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

==>> Try this link for a faster abbreviated download <<==

                          1,698,735,164,527,416,224,702,898,707,511,764,713,
591,033,257,769,972,553,655,126,002,050,537,310,921,862,122,599,292,756,037,
678,425,640,177,938,515,845,102,635,692,607,765,649,337,802,456,357,896,915,
672,664,098,129,300,611,926,358,109,867,735,014,350,035,642,911,406,760,980,
633,198,203,320,318,985,137,735,429,806,727,241,074,503,748,708,252,542,057,
356,506,205,742,550,600,267,640,388,666,636,379,188,863,473,295,951,579,060,
307,348,305,640,335,965,035,816,445,144,578,620,433,243,364,343,810,582,958,
383,105,202,113,786,359,858,335,634,711,287,386,172,860,641,704,094,146,780,
134,406,696,895,886,742,997,502,337,765,687,772,992,397,756,228,026,949,438,
363,769,335,787,225,186,511,625,794,305,047,863,945,191,839,051,367,161,582,
085,108,119,992,210,989,496,838,036,585,512,513,718,804,517,524,494,049,411,
960,310,274,820,165,044,803,518,077,216,600,622,060,027,267,403,807,023,116,
129,439,507,948,199,366,535,800,838,375,157,203,114,499,087,453,508,754,923,
596,647,116,299,540,383,328,537,170,308,229,713,155,420,071,936,205,739,317,
870,792,029,408,836,140,822,379,078,262,898,127,400,466,350,423,966,083,934,
845,386,305,217,802,107,469,035,967,099,671,371,113,633,988,679,547,074,311,
215,718,257,259,488,318,346,073,563,939,022,221,683,313,404,717,891,586,418,
489,878,390,221,814,817,694,644,856,179,709,537,444,752,222,227,714,185,852,
236,111,726,968,599,349,092,987,304,586,845,639,035,919,068,160,533,665,278,
215,756,244,717,812,267,282,899,544,654,740,758,539,467,714,195,940,335,573,
261,351,081,384,997,402,446,014,688,111,451,904,699,652,838,490,867,575,287,
682,240,312,069,884,434,889,966,030,255,966,562,672,212,983,990,991,732,388,
890,940,774,879,031,368,426,495,868,314,059,502,193,872,942,363,607,743,676,
568,756,005,589,062,496,552,235,853,957,091,393,406,153,647,495,259,025,310,
070,589,053,459,379,065,617,583,662,324,775,782,030,952,137,223,620,706,596,
613,457,357,463,863,322,280,671,400,397,990,396,006,758,175,133,625,795,900,
482,281,352,363,239,272,823,396,767,658,927,988,871,182,061,020,921,441,504,
174,049,217,372,466,087,948,833,658,865,178,754,066,354,692,721,366,195,247,
050,817,105,558,209,187,169,017,558,441,569,922,260,180,036,951,407,235,679,
413,453,216,717,466,435,159,388,774,815,273,960,630,321,437,027,818,655,080,
803,079,632,104,112,426,885,950,480,571,360,537,045,189,344,599,215,172,786,
843,645,807,012,540,775,424,843,412,219,373,845,949,108,611,573,666,949,231,
724,377,951,828,502,934,668,829,105,504,313,433,665,865,470,378,421,103,972,
798,440,941,223,119,251,067,651,522,747,512,084,352,579,253,308,074,497,387,
158,980,580,959,716,682,440,938,530,673,539,476,961,745,222,684,469,842,192,
709,158,523,480,867,915,406,220,673,490,642,563,134,089,063,766,270,048,195,
465,302,277,284,327,088,846,689,543,774,345,979,399,718,004,138,303,435,476,
776,321,005,438,164,523,725,325,743,371,814,927,875,829,879,228,774,733,537,
499,983,063,601,699,456,117,003,955,112,295,647,473,217,580,784,182,450,245,
602,371,531,569,622,832,545,998,610,015,135,319,207,075,881,581,933,130,810,
362,906,346,443,377,452,443,424,915,339,037,774,208,648,229,495,299,712,960,
744,233,985,515,497,174,278,546,028,654,261,837,987,085,398,130,390,901,189,
402,146,968,912,130,210,485,276,741,855,982,082,041,012,099,833,998,107,299,
913,282,721,627,927,747,658,633,557,768,881,045,433,276,771,662,528,219,041,
156,879,632,132,772,472,973,035,304,142,860,711,502,462,102,999,060,628,624,
436,205,905,605,279,960,335,911,784,058,376,013,997,354,661,765,299,555,719,
364,782,431,949,719,650,049,931,482,716,377,300,111,639,847,379,522,887,861,
639,014,657,919,401,096,700,940,656,309,746,825,290,049,536,716,667,974,616,
520,419,534,704,816,769,908,784,633,394,753,202,548,043,851,848,894,660,749,
825,616,722,243,508,034,065,857,531,402,371,672,266,144,392,574,064,075,282,
108,700,622,038,840,672,106,221,877,137,959,245,355,146,116,057,818,132,346,
194,409,375,193,680,304,969,210,894,108,510,123,711,361,124,235,202,910,320,
495,779,196,111,060,993,196,417,266,938,067,531,588,749,508,793,659,957,583,
350,694,813,570,933,883,131,192,821,843,478,624,793,419,514,154,418,067,363,
768,471,392,900,578,702,269,741,762,418,219,301,810,350,135,437,183,130,960,
648,372,681,631,696,584,465,732,822,601,656,334,433,276,220,101,373,851,311,
592,150,567,814,162,097,858,696,137,271,285,899,451,958,285,091,434,514,418,
194,019,237,731,575,818,608,765,680,095,083,129,978,025,453,187,673,294,990,
291,221,006,270,427,325,540,436,303,191,589,533,953,803,038,799,499,567,065,
543,241,432,200,500,616,448,379,888,228,941,682,084,373,048,046,293,343,617,
919,439,256,227,208,458,700,141,664,403,071,261,982,727,282,974,235,080,366,
929,249,290,658,250,125,340,121,423,578,846,797,191,812,662,112,896,601,397,
658,807,403,972,450,029,382,180,968,770,110,474,762,394,745,194,513,842,678,
942,151,489,020,921,771,777,960,821,485,132,029,764,262,750,966,249,989,202,
784,306,024,941,925,863,406,717,479,615,513,666,307,661,510,484,725,609,906,
182,274,961,659,118,712,568,511,303,724,823,906,732,581,879,640,842,003,003,
433,412,520,542,051,115,184,667,836,047,469,645,524,907,241,809,862,685,336,
016,988,968,301,230,819,000,550,531,726,771,196,361,485,329,851,566,989,202,
826,443,169,730,895,489,009,591,219,295,211,869,180,012,452,643,522,418,377,
218,402,753,368,777,791,899,250,782,961,218,447,686,453,510,127,774,576,149,
698,954,580,836,962,949,359,096,288,195,898,978,412,036,103,337,218,123,150,
760,703,136,398,712,098,866,707,358,290,953,560,437,548,386,683,416,419,781,
331,330,845,702,456,603,930,867,098,966,732,432,442,339,695,412,831,744,795,
874,803,797,574,734,752,027,414,285,275,357,398,579,052,621,861,779,178,842,
566,963,252,825,767,879,351,021,904,395,245,035,576,279,926,351,714,160,745,
409,839,636,970,034,642,828,130,971,443,797,181,282,761,679,206,859,860,128,
199,577,719,402,474,187,801,724,482,262,753,138,821,097,767,136,343,490,294,
963,814,321,030,839,238,523,302,204,414,960,476,489,966,349,999,089,650,899,
679,527,302,610,873,602,621,565,528,674,366,233,348,891,179,986,341,663,798,
711,707,911,743,586,541,546,545,151,728,722,824,079,756,604,776,469,984,561,
526,225,855,836,449,148,752,012,616,186,091,568,925,577,171,616,347,246,998,
684,494,039,441,401,145,657,249,421,804,899,730,929,240,433,147,786,460,826,
813,361,434,528,805,895,437,224,378,653,107,470,079,760,077,450,351,315,317,
180,752,810,176,614,490,026,564,551,237,660,334,845,015,963,154,654,338,674,
571,901,547,734,064,821,768,132,575,339,495,637,833,547,039,037,934,341,902,
087,424,552,391,441,736,859,341,833,156,364,037,726,196,823,153,381,138,979,
667,332,480,082,900,892,910,451,010,737,331,510,758,875,376,696,375,896,442,
772,091,802,979,430,312,176,713,892,759,868,725,104,208,837,200,433,872,044,
037,919,110,638,669,134,253,954,876,465,068,464,586,756,220,408,603,283,577,
363,841,792,024,448,217,925,883,972,749,475,560,213,700,734,129,500,120,067,
304,136,950,984,491,078,518,025,452,507,079,076,577,213,457,280,220,730,848,
135,536,513,098,522,262,413,021,269,817,180,376,565,469,929,798,360,068,855,
673,115,664,291,226,719,695,901,851,191,988,143,230,105,792,472,248,566,313,
620,083,494,407,411,985,628,767,699,245,524,247,884,306,965,269,048,127,598,
111,711,096,432,921,498,782,537,937,557,729,625,965,928,118,678,935,615,315,
591,332,125,613,771,506,833,148,767,370,634,240,782,684,945,311,540,361,010,
834,961,781,549,199,004,897,512,452,760,340,006,399,930,847,276,128,158,770,
653,845,724,877,903,593,843,918,832,706,748,744,459,777,040,829,570,163,519,
977,339,851,648,775,024,043,508,083,182,557,795,813,796,456,372,168,197,646,
183,781,512,639,687,500,375,752,711,657,303,814,212,687,092,819,335,894,118,
223,655,031,694,038,822,693,154,350,330,176,954,368,159,884,050,488,087,140,
787,549,217,795,611,817,424,045,861,945,430,697,111,584,216,780,040,733,272,
331,637,703,405,513,924,839,344,872,614,900,236,530,757,150,267,086,265,296,
030,048,006,251,112,608,300,069,762,716,077,468,641,691,116,626,684,344,125,
891,447,245,355,196,828,524,679,995,186,702,791,320,894,855,571,034,122,842,
647,517,949,065,228,847,749,026,770,752,595,676,477,722,222,042,854,776,490,
753,717,958,659,392,115,191,817,108,316,425,866,196,825,616,465,420,393,549,
208,399,312,918,286,194,039,062,551,944,365,068,778,482,705,261,875,988,456,
789,511,078,460,633,029,302,610,881,017,654,406,070,042,260,461,706,068,330,
061,136,975,419,762,059,693,120,971,587,960,334,991,641,495,888,074,788,783,
738,685,791,133,682,723,870,134,850,910,357,612,328,930,149,872,128,205,817,
821,193,059,877,389,098,168,330,663,128,095,141,766,532,695,463,023,945,883,
426,617,854,085,569,336,819,750,526,238,292,058,710,202,903,340,998,632,817,
969,868,402,408,640,357,645,445,063,876,416,117,191,330,511,602,172,506,104,
886,503,366,954,403,781,501,716,584,481,061,549,875,552,399,614,886,948,918,
771,799,884,459,230,810,345,153,772,277,539,939,575,783,110,471,320,299,074,
249,899,656,241,045,296,879,804,752,863,220,776,427,670,398,811,174,990,955,
273,677,347,074,926,044,807,922,484,813,429,163,084,410,575,248,359,094,631,
241,668,761,874,805,430,628,129,365,810,916,961,716,204,989,125,432,728,317,
586,300,883,977,653,416,432,799,054,698,949,466,356,305,782,618,341,901,274,
975,391,640,877,162,987,446,718,992,858,745,091,157,009,700,109,219,112,206,
472,748,687,210,323,961,367,020,009,402,722,568,604,507,686,135,553,433,285,
528,398,028,030,110,846,792,758,625,887,883,605,678,186,183,235,477,295,814,
139,330,916,757,758,765,560,809,871,210,665,130,687,508,740,407,628,612,720,
946,570,540,043,113,298,092,801,732,638,986,339,779,032,234,832,195,464,898,
386,486,862,968,545,111,240,981,062,329,129,231,963,076,983,403,287,806,872,
687,837,021,810,026,283,296,050,680,430,448,264,176,848,058,281,716,413,384,
027,766,078,345,015,511,360,858,444,682,573,368,420,897,414,858,868,250,412,
382,555,485,371,338,273,998,979,827,299,967,458,682,991,420,555,414,634,286,
907,007,250,244,790,571,441,744,270,293,548,635,766,542,541,742,816,711,389,
661,250,655,417,518,822,065,024,418,897,354,731,132,586,589,334,973,064,881,
508,013,648,518,889,026,845,481,055,493,776,641,424,697,661,997,881,706,255,
856,017,556,758,232,444,059,790,806,324,282,650,036,123,117,292,405,097,194,
185,163,002,455,806,368,294,568,041,132,955,295,135,085,992,015,290,831,933,
112,544,947,575,775,179,627,316,158,857,902,583,615,177,894,844,459,960,252,
434,444,278,581,712,181,481,492,102,582,662,011,006,878,012,331,577,276,337,
843,884,210,354,594,746,802,718,624,009,443,322,764,826,039,877,517,025,309,
440,339,099,312,822,553,008,470,463,088,689,227,657,215,532,839,979,105,217,
803,737,161,769,981,876,520,894,721,616,138,185,646,406,791,462,930,881,635,
036,950,042,915,401,599,340,406,757,699,343,419,427,599,274,361,911,083,012,
907,052,171,927,225,693,258,010,846,121,182,613,158,066,228,931,154,650,945,
910,796,919,506,250,533,635,478,074,142,885,535,859,446,891,953,525,602,985,
331,151,483,764,519,782,784,940,961,811,006,482,504,009,862,351,617,762,812,
543,158,945,949,806,472,193,850,580,500,494,340,096,708,945,424,787,858,677,
710,511,003,410,946,570,110,690,909,967,255,422,920,877,228,339,912,342,842,
978,635,645,462,784,313,283,724,630,837,223,720,983,116,169,364,085,837,036,
570,044,626,345,116,041,331,577,066,061,697,464,177,164,286,774,218,679,059,
122,491,927,096,927,023,445,962,182,713,162,322,808,841,132,320,488,585,020,
934,251,139,163,945,000,540,242,738,112,870,864,925,300,242,469,977,002,329,
346,830,668,100,643,215,655,257,153,684,704,283,321,738,075,563,185,360,107,
447,188,529,295,828,106,938,745,768,107,807,741,913,230,759,130,387,522,188,
849,492,781,333,763,430,743,908,416,115,734,533,819,006,058,622,901,193,662,
668,681,508,055,925,196,053,675,897,022,780,991,372,366,626,059,573,397,206,
603,787,577,540,421,534,726,966,130,542,245,643,305,071,941,756,228,207,455,
197,646,178,978,733,543,339,411,600,087,097,233,836,334,340,591,706,417,224,
354,321,969,434,753,863,947,800,276,702,760,164,070,577,278,898,237,594,139,
333,319,135,900,063,804,948,921,845,126,007,457,859,793,540,046,953,263,100,
373,008,955,331,817,411,045,963,145,245,542,117,510,406,463,458,831,205,089,
515,098,037,382,901,024,699,833,721,609,603,048,081,779,047,037,479,251,980,
730,810,298,493,377,427,816,528,910,231,331,383,744,133,517,050,428,691,159,
491,949,494,462,819,579,183,453,866,029,978,426,424,030,369,914,565,383,717,
439,543,767,411,350,387,595,137,671,472,388,453,355,992,817,188,850,420,120,
073,866,503,452,006,383,791,178,725,114,443,640,046,921,866,534,173,194,899,
875,909,623,639,908,648,299,278,706,058,867,446,438,252,461,491,378,558,524,
867,765,856,270,986,767,111,011,848,090,976,440,111,882,495,620,776,329,262,
079,071,221,435,142,301,967,215,364,802,791,857,346,305,654,834,889,329,010,
240,467,095,786,853,035,388,824,852,049,619,573,703,417,301,503,024,462,629,
539,923,159,375,973,730,147,752,702,102,821,884,867,010,449,139,636,311,731,
186,094,498,222,439,364,138,647,612,858,788,724,073,931,475,685,468,719,895,
590,926,008,898,456,690,087,470,478,438,062,334,256,463,107,094,338,472,807,
740,028,310,714,435,222,130,195,143,119,575,804,175,090,350,732,190,912,537,
721,551,957,848,648,128,698,069,262,006,054,782,410,788,836,472,823,277,819,
762,237,869,429,050,666,586,602,166,266,890,727,455,312,096,395,342,851,575,
591,482,749,157,930,743,318,950,158,661,809,061,168,705,295,297,114,879,561,
767,364,661,428,992,079,047,031,266,951,058,481,772,171,608,437,681,779,541,
953,448,192,763,536,095,019,446,816,520,819,475,126,416,977,647,464,668,936,
644,721,281,650,732,194,203,710,894,546,645,708,397,611,426,203,504,099,610,
112,122,189,832,973,013,082,363,596,629,681,564,189,055,409,598,853,843,432,
248,033,575,943,616,613,978,114,965,371,693,626,688,967,153,144,034,915,813,
476,314,170,225,696,683,003,190,026,054,985,857,800,275,689,012,942,404,097,
309,795,207,687,439,717,770,100,097,956,365,875,846,395,983,050,516,397,841,
539,365,846,112,860,186,590,017,686,148,750,829,823,407,344,450,742,357,407,
396,250,915,943,973,317,921,490,971,825,046,273,698,742,538,545,256,502,400,
448,843,215,208,250,025,832,068,737,409,942,658,179,715,900,702,495,708,802,
265,563,685,807,143,573,392,768,337,108,946,398,970,608,435,051,472,947,610,
037,932,605,918,974,941,329,943,133,205,486,947,705,628,004,000,286,290,120,
065,405,318,213,802,121,564,589,228,233,369,295,989,109,295,473,847,757,954,
675,137,561,004,068,879,389,272,969,088,253,504,373,013,852,192,520,591,560,
309,761,957,816,805,451,227,128,469,403,397,892,992,378,382,487,510,105,142,
781,970,369,757,062,778,044,020,646,918,557,538,753,356,079,726,239,090,142,
840,400,639,757,716,000,369,064,003,839,802,895,282,775,879,431,676,402,136,
566,245,946,326,430,259,989,744,191,816,212,046,971,004,510,387,813,448,768,
630,933,663,647,535,846,160,749,927,923,275,544,667,713,975,443,130,527,362,
464,314,202,020,702,361,981,835,898,885,166,314,138,294,555,613,694,528,785,
050,395,571,131,336,252,359,555,621,936,451,401,481,133,944,472,346,774,771,
794,812,915,365,412,422,962,772,437,904,846,118,608,494,153,563,686,137,130,
265,802,306,295,894,243,715,859,727,163,217,298,844,184,123,532,199,143,642,
116,166,697,722,794,452,677,370,994,905,412,437,814,035,590,236,841,156,892,
758,036,498,718,379,978,736,213,916,123,415,667,658,805,533,754,278,114,484,
767,297,808,135,054,766,431,476,910,816,385,468,208,765,823,401,681,066,648,
808,680,452,451,015,822,052,118,161,714,897,988,783,807,645,563,171,790,782,
649,448,758,460,621,942,339,527,379,424,743,522,685,243,130,341,648,045,147,
171,414,025,742,584,155,229,985,020,185,154,259,256,870,007,601,030,114,896,
241,453,137,051,706,592,284,537,907,553,744,299,335,391,597,412,251,851,700,
734,605,874,861,380,920,447,844,870,702,081,372,521,456,451,123,104,633,859,
819,190,229,091,144,009,614,885,122,389,843,381,437,465,460,911,250,552,351,
862,507,186,472,778,957,631,037,363,750,120,936,860,246,163,831,798,411,671,
995,807,515,449,664,569,452,003,366,861,775,652,645,303,466,271,398,529,953,
647,429,864,433,375,821,236,398,498,781,321,322,626,957,135,121,734,877,190,
645,863,194,982,904,158,040,871,681,942,626,161,783,948,012,676,718,830,088,
984,890,961,195,981,212,936,194,911,088,010,109,202,455,005,028,171,575,480,
087,476,278,317,971,651,840,553,436,371,280,174,007,376,539,316,655,907,757,
540,732,941,382,657,045,180,462,674,509,119,446,297,181,723,580,417,108,653,
391,990,911,270,805,764,660,945,420,087,977,898,806,173,056,555,137,408,867,
786,133,690,528,238,276,165,130,978,568,145,719,612,115,290,775,729,769,172,
748,501,606,595,426,037,374,540,214,885,643,915,334,851,160,877,696,189,678,
263,176,536,701,339,480,674,339,833,882,058,296,348,790,064,512,357,980,966,
515,646,903,696,410,708,206,107,916,445,000,140,585,507,923,331,019,713,984,
585,457,549,561,309,344,507,158,361,485,939,234,419,327,383,447,516,072,012,
834,281,167,286,527,263,904,867,898,070,060,701,980,935,802,109,649,428,002,
223,720,456,630,926,617,272,195,124,018,531,434,959,383,250,793,389,351,275,
881,677,569,749,113,878,197,147,454,889,227,884,858,246,085,936,364,087,997,
972,681,528,702,265,363,484,379,967,337,062,433,799,867,028,996,364,209,046,
004,173,018,354,073,502,464,379,654,978,736,946,479,380,589,792,725,102,973,
183,626,200,838,267,974,997,327,914,720,083,177,216,121,809,956,428,220,790,
956,891,160,004,048,947,800,437,186,924,280,027,809,172,033,244,703,704,006,
303,130,982,489,029,626,400,430,616,715,611,385,662,244,079,084,466,054,417,
029,122,770,129,672,963,838,620,312,040,210,398,554,303,751,289,781,580,435,
747,414,148,545,321,807,226,130,259,145,570,669,643,382,470,973,355,828,412,
541,673,041,693,199,085,204,671,592,610,865,546,816,133,103,987,314,844,786,
645,764,687,098,217,246,521,240,206,242,626,743,915,838,479,144,274,188,546,
326,034,779,678,790,403,135,394,644,003,492,373,264,538,273,399,411,078,248,
103,438,176,333,614,799,381,623,631,271,695,368,982,086,354,684,667,862,881,
957,784,772,257,980,292,083,482,007,479,013,033,729,688,476,641,454,829,132,
371,266,404,881,667,585,999,640,060,782,255,333,326,933,526,605,212,906,016,
603,670,115,909,405,298,034,469,553,389,350,106,996,372,706,962,626,746,170,
979,538,204,217,442,406,924,559,719,641,273,993,541,114,406,597,391,349,702,
423,222,267,182,151,328,194,162,446,574,315,421,233,420,071,136,280,435,255,
144,295,883,974,586,296,142,610,551,753,697,658,635,032,439,544,998,909,948,
288,446,426,867,820,332,876,279,834,574,187,877,363,965,250,193,924,617,339,
993,957,675,099,547,376,231,828,218,984,923,113,293,998,053,917,658,874,720,
430,436,401,063,612,946,743,428,946,134,830,613,780,021,740,816,391,101,876,
487,532,607,908,515,988,976,947,319,275,902,224,023,131,617,079,670,476,893,
386,362,753,919,988,772,960,336,930,988,239,636,697,214,450,329,901,450,141,
929,887,118,888,278,205,979,118,366,729,776,821,883,648,350,322,047,128,363,
513,066,729,663,707,875,769,004,702,441,047,842,507,285,595,322,842,529,384,
103,477,514,335,087,484,531,185,504,558,597,686,016,644,843,123,908,344,156,
695,428,744,111,996,643,014,411,154,937,881,478,502,273,004,584,281,134,474,
115,393,955,169,607,641,408,614,412,450,380,019,593,779,179,509,379,728,139,
514,838,204,526,697,647,810,058,866,291,483,880,707,194,458,584,183,664,256,
591,421,030,331,968,880,290,424,507,066,941,347,731,730,874,729,249,779,252,
202,358,699,756,837,731,833,969,045,171,410,061,762,208,384,469,026,069,983,
885,440,312,206,530,858,818,712,913,746,568,051,471,872,010,766,089,442,934,
715,539,854,800,441,913,073,139,877,755,390,428,174,399,662,301,182,696,957,
650,591,079,071,913,983,240,438,478,890,935,370,421,829,412,910,282,093,978,
453,476,561,226,561,705,326,733,537,692,754,540,321,578,398,425,183,927,643,
909,237,627,792,027,019,144,741,972,393,040,115,115,254,352,969,376,306,323,
579,809,225,926,636,013,128,747,070,395,845,073,164,829,458,113,006,911,949,
843,852,926,470,954,526,408,639,625,646,667,696,296,006,431,733,559,769,586,
843,043,960,126,293,731,421,845,075,809,745,606,393,035,956,510,977,524,782,
718,814,692,280,656,152,375,553,170,910,730,595,476,290,213,985,882,693,833,
653,764,588,567,067,037,419,950,681,124,485,335,021,850,956,461,770,355,263,
528,600,806,234,740,630,133,048,018,257,676,445,443,372,027,820,513,363,302,
399,744,399,387,032,579,542,098,890,085,744,359,848,689,393,782,737,999,525,
521,383,550,281,988,030,027,992,472,097,292,854,270,690,275,615,928,951,268,
782,643,801,526,813,749,677,471,415,035,460,697,949,871,205,480,679,059,330,
907,503,926,663,177,527,342,286,470,452,487,163,173,179,961,432,642,945,289,
829,121,741,451,110,494,786,785,452,633,097,898,377,190,472,543,151,146,075,
493,478,882,574,952,075,233,806,831,131,372,104,648,564,498,822,674,949,108,
984,571,087,686,314,761,986,407,201,768,374,741,858,918,398,457,249,712,766,
817,306,830,757,424,828,867,649,687,362,328,322,669,350,998,412,002,934,424,
838,360,878,377,726,408,844,695,576,335,095,211,071,314,918,948,428,380,573,
338,967,876,047,654,394,350,308,053,742,203,726,950,747,175,238,830,436,518,
228,255,309,813,027,041,611,523,085,854,037,161,412,388,173,687,916,934,722,
053,254,391,616,885,096,212,757,893,465,045,448,193,070,831,348,498,772,830,
158,197,980,354,686,765,703,173,876,098,171,478,574,567,673,495,501,423,981,
522,447,370,163,393,220,186,006,021,420,588,891,428,305,150,589,434,227,902,
088,624,731,561,235,603,364,246,238,557,877,974,961,393,956,078,977,892,488,
315,531,893,477,348,398,373,575,266,753,473,033,147,884,733,679,390,875,383,
982,708,366,617,448,459,209,755,894,597,564,895,931,553,128,102,345,304,523,
616,571,322,762,486,251,195,934,419,767,656,316,454,786,258,564,095,523,142,
173,299,556,372,971,568,284,045,411,897,984,314,407,190,107,522,642,290,789,
469,743,321,694,982,036,008,714,152,088,812,834,674,721,366,973,060,558,231,
504,363,748,725,417,953,844,380,547,286,636,872,408,827,759,090,600,397,621,
184,460,292,964,865,799,562,601,950,562,871,122,495,562,580,023,115,867,505,
191,605,451,616,011,404,847,770,999,810,729,020,387,142,249,286,251,792,216,
871,391,785,893,373,935,078,920,317,708,536,037,750,349,681,879,435,615,325,
434,688,418,633,631,559,869,775,232,396,861,929,054,361,101,702,090,230,404,
094,913,024,417,276,727,897,690,193,302,120,462,716,379,546,369,279,298,253,
725,636,358,187,646,984,068,049,631,738,344,905,594,450,095,397,246,486,414,
325,987,250,517,444,416,415,762,129,933,639,212,920,788,450,355,176,397,625,
325,231,749,968,018,955,172,454,377,163,590,328,723,592,772,775,703,823,984,
566,093,102,038,790,953,371,908,927,257,017,334,673,534,919,902,340,717,082,
186,446,118,142,363,116,603,021,740,418,560,961,389,610,819,505,445,484,843,
993,361,401,867,302,023,528,502,639,421,868,081,718,921,268,587,389,715,376,
605,969,088,211,453,842,197,835,371,467,609,000,640,349,435,582,738,277,502,
382,518,678,828,876,253,342,188,835,336,982,178,138,090,407,442,797,084,332,
097,169,933,904,897,354,627,763,909,372,928,198,185,711,804,377,866,745,471,
466,526,098,815,012,064,608,563,454,003,536,443,464,873,341,527,314,897,190,
637,451,368,857,725,175,779,807,266,999,314,301,981,595,155,310,744,994,767,
398,669,852,322,584,536,228,796,750,609,715,985,154,769,041,674,373,538,211,
052,672,556,215,039,405,025,213,222,131,350,384,452,236,123,278,800,793,608,
529,803,780,644,128,987,535,741,385,415,692,747,536,793,180,062,432,538,452,
612,542,309,455,341,577,684,425,846,839,132,652,918,071,786,576,026,238,942,
891,412,792,731,225,043,447,239,167,041,589,726,380,499,493,710,353,395,057,
185,893,335,691,009,434,661,396,152,786,233,946,844,666,601,873,156,870,773,
355,826,995,083,959,133,587,359,960,031,706,320,040,479,851,684,931,746,605,
985,051,420,287,630,107,591,670,854,908,495,009,407,815,953,843,400,806,820,
866,593,940,303,500,523,779,835,161,864,957,789,292,420,985,343,288,041,677,
558,306,899,881,861,659,034,406,343,334,529,871,999,619,791,463,022,957,232,
677,030,328,116,582,027,360,971,683,700,504,415,016,565,385,676,048,294,732,
267,066,305,204,630,703,989,837,469,836,076,245,498,193,062,721,786,751,017,
531,671,709,670,999,786,617,681,437,576,876,052,122,144,979,306,619,272,066,
098,136,736,054,539,868,814,454,196,097,931,156,797,868,391,836,877,517,356,
009,429,842,361,037,874,068,656,228,542,951,693,189,751,208,665,574,731,043,
003,639,338,965,091,778,176,136,896,524,813,326,074,841,119,551,692,821,256,
025,064,778,817,253,843,449,777,031,080,258,788,447,212,150,237,282,515,646,
673,063,891,225,864,323,063,657,588,424,812,216,930,213,862,257,674,880,764,
350,322,742,391,377,357,735,711,109,439,557,269,137,029,310,101,098,509,532,
182,014,459,085,422,942,235,451,252,514,792,742,104,804,919,407,810,057,061,
265,003,204,670,115,845,588,725,408,098,872,105,104,531,009,144,175,433,187,
730,796,767,531,661,667,938,137,846,475,356,388,293,461,445,840,752,272,187,
202,211,801,850,593,154,547,026,501,384,550,491,740,140,433,011,684,372,172,
555,702,467,969,544,127,545,963,669,133,530,980,949,632,550,875,653,192,232,
994,396,079,722,230,667,090,563,214,610,195,226,472,296,960,759,503,508,607,
976,804,334,686,599,083,651,541,277,952,233,118,517,109,210,811,620,694,578,
297,647,961,388,015,135,903,312,405,509,146,725,683,771,389,536,201,675,801,
236,564,885,883,472,744,407,678,930,456,845,298,600,517,651,018,692,867,449,
184,738,566,263,375,060,093,157,691,396,503,166,226,729,755,092,877,054,616,
522,423,839,667,458,076,333,354,340,060,760,220,687,892,713,560,027,306,862,
163,316,285,412,630,930,660,422,423,190,095,014,719,124,855,672,643,656,188,
238,633,577,596,658,661,943,798,328,317,863,952,581,464,598,220,396,269,339,
682,815,486,157,477,847,788,902,404,441,584,911,379,195,127,257,070,007,322,
843,756,520,545,682,144,217,197,102,538,242,321,238,377,629,837,579,248,465,
847,578,882,984,820,944,932,584,098,000,909,393,689,980,442,607,789,521,801,
542,622,191,409,251,485,230,695,914,941,908,934,722,114,639,253,209,854,368,
042,116,223,367,634,230,713,182,743,493,490,799,012,491,714,535,065,466,440,
427,989,647,742,112,635,775,958,304,490,182,008,865,923,345,610,194,051,289,
409,547,729,960,921,411,684,263,258,535,493,831,155,620,858,283,756,226,715,
657,713,340,914,065,215,722,477,612,547,386,251,720,750,169,813,655,811,951,
737,913,731,977,421,230,506,192,259,894,642,432,439,250,295,950,280,773,776,
565,315,541,247,582,139,903,698,757,839,016,889,658,788,645,731,361,857,636,
294,254,828,071,167,293,337,182,023,030,556,567,245,626,350,570,323,615,748,
990,008,060,154,428,246,861,570,843,471,939,349,733,560,751,380,271,360,275,
219,596,124,127,418,792,171,308,418,960,313,363,620,883,731,098,338,905,062,
519,690,469,821,456,668,691,084,856,781,517,264,146,104,358,383,861,781,670,
973,885,842,452,517,597,269,033,227,119,971,419,161,225,570,519,465,258,051,
523,206,526,505,000,312,919,099,268,907,676,350,956,807,939,957,699,073,163,
351,258,885,323,210,302,424,927,718,511,715,998,332,265,419,713,961,457,586,
697,763,109,200,860,104,588,376,370,892,637,836,720,742,024,133,858,318,846,
749,283,547,039,995,901,842,131,305,106,626,217,684,207,678,183,111,030,754,
860,307,678,571,260,781,837,295,524,891,472,829,029,137,219,460,243,988,240,
974,351,688,391,533,973,354,078,364,162,325,427,247,693,768,594,905,991,942,
837,349,865,624,308,105,424,091,320,925,315,217,935,322,125,191,281,537,695,
165,148,455,237,910,420,850,097,249,702,637,908,896,268,225,060,779,727,543,
699,294,477,312,896,005,419,085,323,167,940,079,308,398,030,248,974,178,813,
175,564,959,862,663,899,350,292,331,016,298,633,504,291,009,845,049,875,553,
893,520,869,879,627,724,231,070,009,929,327,361,855,921,779,000,562,403,294,
973,341,421,795,030,269,875,600,612,114,654,301,543,516,686,652,289,170,138,
289,344,173,450,363,692,596,425,605,377,732,816,736,762,071,636,694,277,140,
382,999,258,327,968,192,805,566,245,671,994,542,171,623,764,936,498,666,330,
834,536,441,381,702,865,296,396,206,798,627,541,090,078,035,986,654,722,697,
402,026,341,781,891,085,920,348,776,984,744,072,572,597,730,222,183,606,664,
599,134,668,369,031,965,806,052,386,178,263,619,525,497,354,934,607,976,266,
712,844,226,486,412,893,366,692,436,328,882,705,790,097,505,029,392,144,471,
758,788,851,524,096,111,830,207,637,528,260,512,685,235,476,214,969,440,903,
591,010,187,658,889,762,150,200,122,830,584,284,601,210,608,378,492,425,296,
074,171,193,683,412,472,397,732,856,083,134,172,188,846,110,698,565,765,280,
994,063,171,609,012,282,870,070,406,211,943,710,140,428,282,736,942,397,130,
441,338,656,025,161,164,388,286,731,297,680,663,234,252,626,414,646,369,281,
658,491,345,982,312,328,695,632,459,632,425,140,124,435,708,914,935,352,564,
256,026,340,135,200,021,261,872,492,671,509,052,136,198,450,408,094,764,896,
741,589,974,715,331,331,850,090,670,673,078,509,842,390,983,703,493,449,810,
560,218,922,623,686,476,987,666,185,603,114,401,452,267,192,129,564,064,748,
272,695,733,250,509,248,115,455,428,594,844,219,768,216,858,497,246,887,729,
956,312,618,984,085,679,209,865,532,901,647,444,487,313,206,515,073,214,901,
458,803,538,040,997,678,883,450,010,838,453,880,421,738,719,996,118,629,951,
725,687,069,606,467,572,704,236,907,624,323,321,757,390,662,600,813,187,703,
483,356,329,184,320,575,420,629,652,657,993,349,588,569,612,130,102,437,600,
110,562,877,782,230,640,209,839,686,818,350,575,481,994,248,892,439,465,548,
898,413,640,716,955,692,870,871,478,487,168,133,850,514,367,443,160,592,203,
553,427,145,920,615,836,883,015,098,391,738,754,197,701,473,541,599,915,332,
592,213,736,966,505,431,159,425,996,576,107,804,314,807,718,251,014,353,103,
199,117,867,899,506,774,630,632,114,118,975,483,475,044,499,295,437,153,623,
522,919,526,479,226,735,751,519,256,122,048,921,696,473,924,121,087,012,406,
227,379,278,192,953,826,367,340,931,678,008,371,515,545,286,509,808,267,163,
401,367,148,903,796,701,500,874,935,301,355,395,218,534,229,573,305,385,906,
332,224,821,553,417,542,176,650,732,220,938,863,479,740,712,050,178,930,434,
623,521,835,862,016,755,439,320,774,167,372,048,859,307,967,873,903,099,846,
234,836,775,605,457,003,839,720,846,866,206,390,332,877,134,182,579,187,081,
687,481,061,625,795,470,149,042,987,225,021,927,053,602,125,322,160,095,256,
650,758,439,628,951,777,772,914,072,729,044,698,335,551,118,616,927,986,919,
486,032,008,696,266,814,762,329,092,794,172,148,641,568,048,117,981,392,726,
871,840,993,496,681,101,449,616,777,277,902,363,183,609,780,978,198,491,027,
450,100,367,924,235,546,600,454,966,697,164,247,089,072,171,283,201,696,757,
435,484,333,696,254,931,320,181,402,986,602,267,983,282,270,742,906,736,188,
272,046,701,762,898,506,891,748,022,846,451,279,692,605,342,958,129,320,957,
243,790,710,176,748,928,081,502,383,042,653,700,966,885,877,853,591,379,166,
963,234,000,898,362,061,242,329,568,948,106,211,866,663,585,722,895,748,277,
560,631,897,807,271,639,304,648,871,426,754,497,094,845,614,483,468,142,437,
714,479,637,593,406,181,390,513,777,013,977,006,569,262,155,461,836,462,407,
382,038,234,455,663,900,079,589,852,695,291,499,594,885,017,433,971,277,552,
496,229,490,642,001,512,740,802,000,698,336,873,203,191,934,326,109,418,269,
940,006,194,795,462,906,794,379,276,713,427,282,814,096,117,562,237,664,338,
499,326,024,465,607,586,829,049,072,919,873,369,151,923,845,251,937,663,014,
302,815,434,962,324,190,497,541,858,529,573,438,871,824,771,552,271,352,673,
521,646,174,134,662,498,090,956,764,332,742,758,415,699,069,087,346,229,804,
794,443,126,566,952,153,059,089,645,653,518,580,315,820,886,437,799,508,588,
978,414,538,819,710,153,259,052,196,427,205,126,013,723,461,835,429,888,187,
850,331,119,919,771,200,322,262,768,802,751,506,847,613,436,872,390,088,916,
624,909,717,622,045,798,676,434,565,645,248,395,531,291,368,579,085,930,514,
829,273,260,129,469,305,933,156,945,504,223,093,671,614,856,464,095,772,575,
424,423,121,887,615,717,070,033,778,242,023,014,878,434,442,425,726,400,154,
725,546,436,755,693,611,019,121,238,488,622,280,613,166,342,343,799,384,023,
724,505,969,506,027,391,198,620,565,790,217,240,739,170,646,912,065,055,237,
354,290,663,230,978,996,049,771,357,452,399,905,260,913,740,066,581,410,283,
016,860,829,569,773,392,083,059,355,703,848,835,794,278,071,264,859,441,246,
942,166,109,478,692,495,089,933,974,351,718,089,151,321,963,004,561,565,690,
319,391,334,985,587,723,444,361,464,042,706,895,028,248,227,771,142,174,133,
991,115,556,100,912,750,948,517,770,664,066,999,376,844,124,239,863,694,462,
029,924,605,148,326,671,182,819,400,369,241,381,541,629,185,901,078,468,998,
482,899,186,707,038,849,727,484,225,218,170,832,682,893,271,425,619,209,041,
411,579,689,200,136,185,430,722,401,727,209,593,996,689,336,088,341,712,235,
880,271,361,625,867,613,294,380,328,482,617,885,508,562,586,863,710,763,122,
646,263,041,353,140,004,179,159,417,065,062,315,003,132,245,844,901,103,597,
163,451,072,775,334,227,284,739,263,517,163,979,340,823,684,315,898,672,372,
721,814,478,205,005,462,772,921,551,590,945,100,140,430,370,631,049,093,533,
249,714,396,683,333,316,098,474,084,785,566,909,190,823,619,848,691,923,452,
805,940,785,677,217,012,117,205,424,335,831,041,017,557,990,978,785,337,709,
606,318,183,038,689,759,071,551,276,647,599,529,524,388,504,813,316,890,290,
765,657,479,649,775,728,501,700,698,358,905,677,041,300,430,509,225,343,635,
250,748,401,852,560,052,115,472,072,181,668,101,291,668,321,282,121,052,449,
035,348,594,516,841,898,602,050,322,515,745,628,360,362,047,086,101,066,777,
947,935,594,908,751,915,152,774,929,868,540,880,787,554,409,231,250,756,297,
542,938,316,339,958,015,463,737,453,376,771,519,511,625,129,732,479,959,253,
562,126,703,682,400,256,097,626,988,837,872,989,753,787,768,544,328,577,019,
053,967,454,498,599,669,503,111,046,742,265,495,610,713,216,995,389,569,673,
782,226,419,829,106,485,185,834,976,108,940,159,908,004,907,685,422,211,348,
979,743,436,650,389,778,822,522,636,933,832,544,697,909,109,509,100,094,467,
952,004,736,723,958,640,533,485,459,740,031,345,008,167,936,233,543,444,058,
507,961,303,918,162,062,977,413,337,993,909,585,210,888,529,875,157,904,012,
118,204,966,822,018,584,922,314,384,419,103,657,360,754,281,005,426,456,313,
410,322,638,534,671,416,983,747,575,329,360,248,143,444,632,419,381,671,347,
316,694,570,419,250,693,605,223,013,652,086,538,978,434,369,816,992,232,039,
644,456,491,192,445,264,015,883,508,796,163,669,804,696,176,267,114,344,704,
133,769,839,696,507,168,974,914,321,420,866,687,858,229,936,852,396,959,018,
096,034,391,328,809,691,810,939,562,542,987,318,955,170,711,853,503,586,541,
144,871,860,514,948,634,712,607,293,199,994,893,083,457,750,042,063,501,387,
507,360,765,868,174,413,176,538,686,933,606,347,687,564,650,355,678,602,969,
112,145,589,637,631,566,027,265,920,908,980,368,155,492,084,171,210,709,511,
035,760,864,268,063,918,833,131,116,099,472,623,021,331,368,743,202,944,993,
104,839,131,021,630,136,699,232,582,797,187,798,978,181,145,409,375,684,778,
079,926,721,255,928,538,829,588,647,931,454,836,693,776,141,898,678,628,541,
055,875,123,854,638,503,190,517,304,493,289,349,791,406,932,435,505,081,837,
854,019,333,752,396,337,813,911,713,878,781,707,252,487,818,619,275,738,366,
276,068,396,136,286,942,558,121,745,955,272,759,752,830,382,132,161,748,358,
054,864,662,654,668,785,973,518,707,182,324,220,346,759,570,338,161,032,892,
577,650,309,839,999,816,921,515,778,832,297,856,036,302,930,131,130,487,949,
683,628,802,110,446,224,651,945,109,306,765,420,537,250,210,422,150,717,804,
540,626,632,613,165,377,288,620,674,257,698,487,366,856,131,518,833,029,108,
298,438,380,586,672,190,198,003,547,497,218,267,282,186,325,707,430,050,452,
633,954,228,201,355,618,042,493,215,764,606,582,258,503,510,628,568,390,123,
400,196,340,282,516,392,445,836,091,697,769,564,666,574,145,478,050,130,112,
896,725,356,554,513,042,435,736,124,511,693,438,379,954,180,847,666,685,245,
240,100,001,185,698,689,356,979,663,040,988,026,671,722,391,694,319,390,116,
436,607,173,456,604,038,486,662,940,811,778,241,875,445,716,733,375,278,886,
541,471,211,494,686,491,506,569,162,403,607,386,754,983,183,626,727,127,953,
460,667,503,562,175,251,729,568,811,616,945,001,205,420,738,098,534,333,196,
115,683,347,267,378,192,236,237,476,409,556,509,191,808,817,029,183,220,285,
433,577,000,686,914,504,127,426,128,237,428,476,092,056,747,156,954,540,917,
543,604,142,857,534,337,192,957,500,017,935,435,778,454,816,246,422,966,229,
099,846,727,917,509,226,856,140,352,537,156,953,063,977,152,484,953,004,202,
581,429,819,716,433,201,505,263,930,139,194,038,858,186,206,088,740,513,401,
403,693,130,614,470,837,972,699,676,809,965,315,591,820,796,778,991,365,552,
795,265,031,978,381,639,266,218,026,782,654,262,824,278,439,787,676,923,679,
652,525,490,261,630,775,420,023,028,907,791,359,541,433,497,149,427,405,010,
146,614,383,663,996,678,223,187,038,394,275,728,412,702,081,740,551,737,032,
003,550,552,278,332,797,444,581,774,043,919,298,846,727,797,842,629,994,123,
537,242,669,938,069,475,191,743,913,361,976,391,486,438,974,024,065,211,782,
796,486,673,098,032,842,443,110,254,060,674,270,881,419,706,896,756,219,779,
943,989,818,044,375,822,976,858,426,146,711,919,545,075,872,039,953,559,209,
032,973,840,831,150,098,387,883,556,899,035,035,640,781,354,229,250,219,917,
979,553,867,894,245,461,035,932,827,547,917,925,639,688,765,964,654,295,812,
445,777,227,400,240,872,296,789,655,680,035,960,479,132,260,099,170,867,842,
307,389,974,959,255,024,360,258,689,141,962,848,250,124,071,370,779,861,894,
558,084,354,751,755,806,986,596,501,046,768,081,617,959,456,535,984,446,794,
327,080,597,836,361,939,697,206,414,543,525,633,597,507,923,503,697,041,980,
418,110,598,358,430,622,220,415,025,093,030,323,822,006,949,542,799,356,213,
538,110,696,383,451,181,853,318,428,499,540,897,120,068,363,421,189,893,564,
449,014,645,404,211,542,066,738,451,440,403,881,291,471,347,679,741,300,619,
283,684,393,054,913,030,412,072,616,847,377,616,372,380,084,500,810,669,162,
370,739,724,440,361,240,076,612,667,972,689,979,954,251,357,958,052,206,935,
359,093,086,966,950,178,684,808,846,708,459,103,485,977,165,705,571,245,320,
077,190,027,188,144,658,548,642,278,954,645,107,395,204,405,606,536,652,864,
058,091,992,303,387,015,221,828,765,180,591,959,361,224,974,239,275,187,274,
003,748,200,544,146,567,491,507,447,637,526,215,131,846,177,028,726,078,120,
543,601,322,899,699,496,383,959,858,943,384,733,616,991,958,943,579,005,602,
330,663,552,654,100,580,691,703,180,885,817,350,668,280,658,459,730,462,173,
108,335,392,361,532,845,019,831,283,427,698,970,458,470,447,330,246,329,292,
190,991,994,438,454,501,326,812,257,213,696,488,741,569,111,424,044,989,095,
324,909,732,161,936,021,582,127,861,098,819,739,869,803,306,380,396,309,491,
713,469,499,932,987,737,054,376,432,535,500,048,142,679,625,377,125,249,600,
478,079,088,187,549,085,717,568,066,348,518,211,729,147,380,147,578,566,507,
494,385,509,895,052,272,171,578,094,580,077,696,043,894,522,215,078,041,464,
153,181,618,750,890,993,014,220,572,749,467,581,869,274,020,553,110,209,041,
290,498,875,171,668,233,331,974,789,366,568,737,766,365,364,042,916,920,206,
509,231,948,981,080,118,428,101,453,036,771,109,526,636,887,363,022,731,829,
249,478,988,022,138,987,818,530,833,228,363,197,689,096,752,708,440,494,589,
928,856,857,949,142,504,547,765,391,186,694,342,721,905,073,130,163,039,908,
933,658,957,980,057,980,748,172,797,242,237,077,905,550,659,095,697,512,940,
073,618,337,803,169,022,902,403,769,484,018,544,035,312,484,418,856,013,937,
765,414,866,729,870,398,189,234,528,526,790,296,887,110,392,377,477,908,301,
447,508,136,417,466,287,483,142,051,790,399,726,544,682,055,894,155,701,081,
482,061,340,288,686,735,122,429,274,636,230,460,837,130,661,428,642,522,231,
500,777,410,872,653,089,829,283,671,030,704,441,775,599,088,372,686,845,746,
926,276,679,430,778,689,510,355,466,920,691,004,921,978,019,431,776,300,211,
596,488,725,003,176,443,501,245,160,653,422,982,620,431,809,546,502,733,719,
122,634,370,600,262,173,532,844,113,283,459,391,498,483,710,239,327,140,210,
544,244,822,760,612,557,285,162,475,261,868,942,242,026,789,766,999,250,514,
696,238,549,055,455,213,336,732,765,896,899,102,275,405,759,763,400,905,519,
645,801,351,192,114,054,520,617,541,126,403,882,944,380,789,078,746,209,095,
627,854,291,290,498,618,970,169,257,600,829,905,747,304,209,665,887,585,904,
956,662,093,032,820,929,987,340,180,552,699,648,197,558,092,614,379,664,703,
658,055,545,417,689,943,518,783,090,557,533,392,804,182,979,756,616,505,234,
199,686,617,959,373,453,087,681,670,934,606,222,538,571,209,574,451,774,843,
119,938,275,548,189,956,890,619,126,012,470,318,242,906,080,770,192,717,677,
501,547,116,341,088,808,736,935,715,449,979,165,440,165,468,252,986,278,007,
050,053,614,907,731,794,062,491,397,957,175,087,073,795,241,962,346,644,517,
317,352,936,985,161,928,037,582,002,307,517,876,465,526,626,243,039,572,334,
809,807,936,103,127,916,686,167,407,666,639,785,822,248,791,665,779,058,196,
070,479,977,495,465,837,527,012,792,500,562,854,705,940,782,621,023,569,971,
304,629,423,537,984,036,239,369,085,529,229,423,677,956,168,050,601,578,302,
148,240,738,129,469,784,671,173,579,386,517,540,128,234,175,628,932,424,005,
485,868,605,157,013,739,114,853,008,245,338,689,454,918,506,121,224,732,052,
105,173,855,082,005,643,416,353,274,122,277,365,052,582,524,998,402,789,710,
714,972,404,189,918,025,762,924,250,226,713,143,740,306,592,091,157,741,517,
500,415,976,937,668,280,398,907,008,142,216,130,872,847,052,229,761,876,394,
519,483,124,778,145,147,618,778,841,896,247,812,168,495,459,307,141,724,760,
311,569,434,375,199,248,909,555,820,809,008,043,069,017,267,138,044,166,112,
661,021,129,080,563,957,498,069,592,874,940,227,401,485,798,666,602,161,479,
207,601,416,177,499,507,922,854,857,935,442,105,827,892,073,343,037,516,433,
079,768,410,016,527,405,663,266,769,593,111,369,572,554,707,700,562,911,555,
514,462,559,434,956,279,872,134,170,635,849,984,212,875,576,057,137,475,174,
261,931,436,727,053,411,920,306,575,124,372,171,742,375,216,486,110,370,104,
641,537,836,366,380,369,051,963,618,636,014,575,950,752,315,934,593,745,594,
575,495,689,233,200,440,776,819,705,084,962,631,683,883,928,920,912,501,523,
670,174,815,921,965,230,763,963,189,596,207,416,245,933,202,647,614,657,940,
158,296,196,386,661,856,370,008,515,679,347,809,620,259,529,045,021,301,029,
633,828,174,149,700,067,456,897,866,724,751,732,845,540,814,116,563,849,459,
823,202,982,634,532,575,274,855,686,137,858,815,904,842,026,623,541,509,726,
004,906,154,344,620,780,858,826,103,571,898,080,126,020,091,868,649,973,330,
393,578,322,201,348,842,179,450,801,217,698,894,121,009,138,103,520,805,297,
574,938,617,754,291,762,817,014,811,819,456,213,686,911,861,169,204,802,012,
928,257,482,495,564,184,230,376,942,253,409,864,072,366,125,227,173,343,675,
214,205,291,084,503,122,815,512,899,853,477,997,865,707,492,603,443,383,775,
850,587,053,542,766,470,265,850,706,509,466,654,583,829,500,345,685,625,815,
863,420,748,805,029,786,194,987,858,104,175,163,771,227,831,907,900,091,012,
325,161,325,419,822,898,868,468,819,506,008,412,264,291,657,652,115,594,851,
969,923,864,711,985,254,322,049,572,910,489,928,586,786,200,419,509,853,774,
743,321,590,932,916,963,818,632,241,011,828,800,478,980,262,377,725,222,886,
800,757,863,119,102,667,961,393,755,193,160,572,588,293,262,109,154,201,790,
982,008,502,181,294,705,682,674,233,531,916,227,687,239,185,858,913,888,511,
221,023,015,078,116,618,761,091,832,472,249,693,276,103,175,762,447,814,179,
215,802,753,660,797,773,750,908,861,809,231,415,693,906,382,337,007,954,919,
267,741,712,783,277,380,214,940,923,954,542,541,606,872,352,062,636,875,535,
960,866,854,897,022,584,507,267,684,055,676,542,237,106,265,633,118,414,145,
579,718,510,124,564,755,151,167,016,441,192,175,805,101,245,350,835,869,785,
783,569,057,469,749,072,458,189,450,265,277,135,801,384,992,727,974,295,330,
113,801,468,155,456,156,128,483,421,893,856,433,220,504,465,941,621,978,909,
821,362,998,677,484,161,151,557,626,981,399,442,400,891,924,687,964,477,565,
876,725,192,640,346,200,112,253,988,839,872,190,403,853,712,925,648,060,232,
585,090,999,248,497,318,340,409,526,460,795,627,006,770,762,572,160,741,683,
790,387,683,171,935,917,650,748,980,641,298,365,983,157,086,388,997,029,541,
480,381,769,477,754,892,572,190,925,986,140,902,660,103,150,615,518,565,359,
912,463,804,913,198,817,555,850,603,103,554,261,928,789,135,946,057,487,813,
430,850,621,253,235,009,499,427,487,103,097,552,387,135,233,471,580,413,252,
785,540,960,381,391,438,655,353,556,262,603,270,030,234,736,316,912,875,292,
297,199,504,314,784,156,712,729,877,043,585,485,469,462,377,303,582,971,760,
499,965,877,761,410,724,790,343,605,915,395,833,299,986,356,444,726,494,865,
416,909,184,302,476,340,945,639,827,473,591,282,343,968,026,549,243,945,419,
594,960,671,501,152,352,285,886,718,166,526,604,029,687,183,080,364,931,892,
396,039,057,101,203,399,856,337,973,961,610,775,652,310,637,327,997,144,116,
236,223,451,830,267,445,690,267,524,885,198,955,213,317,502,849,925,336,491,
633,440,627,029,812,355,379,225,554,509,778,437,966,998,977,776,882,415,878,
583,327,787,097,410,820,819,233,397,675,532,318,886,507,719,647,014,964,315,
225,312,991,357,625,198,182,552,684,944,213,200,153,741,725,306,988,529,401,
218,143,083,724,544,609,919,512,085,818,477,357,653,566,010,765,457,372,379,
134,431,840,081,120,830,030,614,523,548,266,546,738,990,961,920,602,936,436,
801,726,234,854,778,265,305,316,965,439,073,278,884,115,374,021,115,637,038,
756,049,007,012,713,238,531,615,906,068,076,680,945,619,614,834,257,692,598,
863,094,268,381,125,555,492,020,084,790,369,855,651,997,621,088,185,749,043,
884,113,122,681,524,898,628,349,780,141,477,780,758,608,640,219,476,650,261,
546,180,662,010,977,565,066,477,132,734,274,929,321,071,465,944,447,588,320,
495,240,675,574,211,099,771,075,501,344,875,448,541,344,828,813,995,086,037,
757,534,919,424,617,429,952,449,452,916,761,758,223,386,655,614,340,403,749,
465,814,325,384,822,669,596,834,724,253,139,980,468,136,772,086,463,839,003,
342,272,418,691,143,430,080,911,400,608,563,166,784,529,642,639,715,406,522,
506,113,445,847,220,209,322,606,445,771,102,261,903,846,118,344,056,111,844,
827,250,874,100,446,133,617,702,106,786,029,685,770,944,442,853,120,545,271,
604,044,562,759,642,295,687,021,310,245,220,655,381,064,217,230,057,018,486,
636,198,640,915,026,207,330,084,985,633,523,838,765,042,078,055,925,101,144,
524,600,644,806,514,517,477,100,949,530,338,619,685,012,756,233,217,507,996,
248,211,563,860,484,390,025,968,461,990,045,578,480,778,690,948,499,475,641,
511,962,006,829,495,299,648,026,878,120,614,657,346,584,345,748,023,036,575,
856,763,964,590,267,899,405,773,955,137,320,453,773,978,661,922,426,458,650,
537,277,027,066,809,417,835,142,187,530,330,569,450,702,676,106,519,891,435,
565,086,122,110,560,682,651,041,032,201,105,349,674,745,895,928,590,149,334,
205,924,067,857,279,539,272,088,613,623,417,533,200,955,582,350,876,266,636,
884,182,977,471,807,903,461,660,245,394,182,560,712,155,052,524,298,743,962,
378,611,455,410,518,127,214,428,060,622,282,864,892,510,605,008,436,506,211,
244,772,373,012,054,585,741,375,203,898,743,616,656,733,799,034,500,492,422,
650,045,071,794,751,754,599,639,685,896,704,552,676,051,670,346,109,995,571,
196,374,497,614,439,539,231,450,453,436,338,742,154,008,514,423,875,414,824,
266,460,438,897,099,614,997,856,728,427,516,131,608,406,105,560,983,688,054,
733,801,965,838,212,768,449,952,306,325,086,177,718,619,290,868,941,971,523,
390,534,742,332,379,935,689,299,280,959,653,305,836,740,961,197,707,355,056,
653,372,908,226,068,441,664,036,808,005,642,676,645,042,688,566,409,243,477,
360,669,402,130,643,277,223,902,383,215,952,805,010,991,297,140,531,990,637,
915,497,354,110,940,293,060,002,097,446,380,765,464,186,321,179,914,626,124,
258,788,966,719,216,515,735,436,181,988,328,126,394,574,347,882,866,047,912,
324,827,896,855,040,784,455,720,050,780,427,980,294,767,486,170,554,604,235,
287,912,206,973,020,196,832,524,131,135,611,674,453,575,891,600,515,893,677,
000,533,447,776,886,557,640,171,795,528,641,212,905,909,414,251,513,901,176,
469,027,321,171,721,624,876,441,891,017,194,554,654,610,792,479,457,828,533,
181,922,258,046,264,136,082,120,091,423,975,664,149,994,077,177,574,455,692,
259,104,642,385,491,320,595,268,333,094,987,270,308,067,832,265,904,188,545,
483,600,328,567,853,784,197,166,600,667,999,186,117,524,439,355,838,617,111,
357,155,261,192,897,760,195,015,652,225,419,097,353,944,236,467,107,173,298,
941,686,248,519,008,973,101,087,352,589,265,674,157,119,825,456,494,617,265,
549,592,417,590,239,551,342,781,159,368,800,965,790,814,390,076,153,176,804,
956,264,039,803,706,224,370,718,501,586,709,013,251,620,907,182,865,276,689,
437,006,763,314,050,159,113,875,468,426,829,852,993,273,504,209,382,814,136,
415,691,749,041,932,569,745,083,880,454,674,734,160,687,788,288,863,669,336,
760,957,685,223,377,744,197,331,993,852,195,998,791,345,356,444,893,124,432,
063,437,889,720,868,194,782,750,254,695,396,618,579,781,241,210,801,522,551,
439,382,340,667,256,974,617,409,070,826,870,347,222,266,563,137,437,545,368,
270,956,095,726,946,811,417,714,174,355,085,976,199,208,206,127,578,722,271,
473,278,793,011,111,210,734,340,176,012,852,597,988,051,551,282,925,244,512,
778,777,064,478,654,719,613,538,105,277,564,882,193,062,682,955,572,936,612,
768,538,532,717,622,674,692,276,439,962,445,231,324,979,435,891,999,800,977,
577,067,095,682,006,069,850,791,749,834,340,203,675,214,991,897,430,593,983,
537,088,941,170,859,597,612,331,745,079,792,288,572,961,702,728,620,760,466,
728,660,627,421,242,833,778,811,572,318,948,088,930,798,688,366,301,876,242,
821,949,963,811,761,638,982,012,272,995,649,667,046,952,564,473,790,357,024,
826,115,426,614,911,517,666,519,552,357,794,234,534,384,477,478,342,158,196,
060,371,493,052,447,179,430,847,883,561,280,358,255,224,944,621,408,726,511,
680,743,104,078,300,705,383,494,208,003,233,677,580,702,678,527,493,161,268,
865,259,195,404,083,671,790,515,323,652,455,496,726,530,528,795,815,611,071,
017,416,986,404,937,460,785,261,845,520,103,460,839,099,994,172,152,850,352,
169,227,994,077,161,055,307,191,537,687,306,536,893,791,457,033,935,054,751,
079,491,067,258,532,397,468,538,003,941,954,498,829,552,789,977,441,032,912,
820,320,200,829,234,048,045,251,504,128,890,858,742,156,387,648,560,969,440,
195,463,693,470,988,336,689,250,729,035,555,264,414,365,506,867,354,063,530,
144,773,821,148,131,520,038,591,245,919,931,444,380,992,875,978,068,439,167,
942,623,127,947,987,983,052,282,089,271,678,575,151,979,977,163,932,888,170,
793,740,837,797,042,085,802,900,491,481,250,465,333,863,600,591,623,083,327,
060,694,178,299,230,841,539,379,784,832,629,486,270,955,745,141,858,302,819,
550,103,291,635,740,408,390,631,798,321,963,072,898,655,406,740,251,875,771,
679,969,754,523,321,667,120,434,105,149,598,455,785,680,190,519,699,060,146,
916,690,174,479,373,678,983,162,451,751,641,521,381,922,328,720,487,809,394,
319,673,156,512,597,805,143,221,002,525,328,003,540,568,858,759,540,902,258,
775,652,479,964,432,620,979,340,287,781,101,463,051,625,174,645,471,465,244,
029,257,097,921,517,129,799,759,745,162,669,543,618,465,980,911,792,063,146,
813,496,725,705,005,842,066,271,218,121,854,739,364,894,878,906,826,981,632,
116,852,639,100,604,110,746,900,708,493,934,407,596,774,587,819,397,562,253,
103,531,768,651,535,444,351,826,232,744,575,499,756,791,285,468,497,272,037,
652,051,022,542,979,099,723,020,972,294,105,214,723,866,357,170,921,252,841,
037,680,230,228,783,503,164,033,362,382,688,450,020,571,140,089,957,892,528,
972,117,172,194,954,455,001,317,127,837,126,469,141,150,785,492,747,815,117,
844,308,151,953,575,749,022,442,694,307,798,995,055,425,485,248,447,368,234,
756,152,579,286,048,742,148,371,451,316,802,298,915,040,034,719,168,586,330,
618,206,396,475,295,317,007,386,449,629,076,615,607,941,955,875,690,084,892,
772,785,902,437,186,705,424,560,494,517,678,149,107,823,886,577,506,727,645,
127,012,294,593,092,010,643,696,995,770,340,216,801,499,407,909,565,140,986,
303,406,544,343,402,519,557,217,547,430,814,946,290,800,956,177,869,328,005,
518,596,158,161,122,939,273,365,357,401,214,675,557,956,431,984,252,433,097,
513,163,412,652,445,291,107,777,277,188,794,018,598,482,512,758,839,071,530,
220,219,087,101,541,634,113,979,918,613,554,209,284,204,788,491,911,948,081,
200,810,663,069,115,336,673,837,007,926,972,327,715,057,203,299,320,532,655,
236,496,414,756,721,612,146,438,159,554,539,638,010,179,247,725,400,297,472,
894,376,837,580,820,563,854,452,248,384,920,287,686,229,125,508,755,155,733,
867,494,968,894,666,856,005,955,093,833,457,758,667,026,188,460,173,669,711,
916,803,083,593,904,962,174,507,710,861,753,923,250,712,798,163,972,666,579,
574,202,463,603,449,402,545,972,692,478,633,179,511,239,764,365,965,895,321,
983,481,442,685,856,086,421,585,827,181,952,047,221,264,915,903,064,016,733,
760,446,145,414,328,722,436,677,344,843,694,536,497,868,874,829,104,152,785,
546,191,109,745,670,751,128,014,612,396,189,501,116,781,323,811,913,549,806,
043,384,077,523,967,069,487,514,001,443,459,477,847,773,451,443,990,473,246,
734,693,237,262,116,541,121,108,390,658,031,356,499,912,708,518,252,153,091,
906,416,386,413,330,948,698,548,401,558,149,865,587,781,128,740,912,256,245,
769,671,568,909,335,344,065,801,212,395,457,613,126,994,779,696,181,396,470,
703,273,386,852,773,517,897,338,949,214,651,561,749,439,731,558,602,256,957,
420,061,828,722,002,550,625,630,093,527,119,703,015,462,271,896,573,245,688,
132,241,593,805,313,253,720,938,530,532,482,397,426,725,248,871,047,951,785,
168,445,434,437,109,822,823,479,968,164,345,219,706,136,593,685,135,872,448,
154,526,249,599,296,343,345,724,698,227,689,319,430,063,765,109,311,747,129,
372,240,248,917,283,154,583,075,440,446,126,261,189,373,901,961,815,824,576,
801,493,804,025,452,353,716,213,842,612,193,176,684,137,161,462,268,447,402,
761,317,364,437,792,333,609,540,132,964,847,916,778,293,476,642,918,572,781,
403,691,575,613,025,892,569,458,316,962,795,732,382,234,163,469,954,451,879,
080,913,361,655,343,123,290,391,424,401,478,315,017,544,712,607,833,350,103,
728,968,264,296,048,266,357,790,089,965,956,700,233,727,477,208,087,179,252,
122,811,427,499,389,191,119,860,710,209,682,151,161,812,477,117,332,231,895,
456,129,694,172,522,311,888,838,312,879,798,957,679,460,669,142,479,838,096,
423,122,155,289,660,250,561,306,862,305,521,825,337,365,011,909,179,395,525,
646,320,714,564,108,049,664,038,542,174,652,338,665,866,628,462,871,273,134,
214,109,659,805,548,731,485,591,247,865,820,482,923,935,595,366,677,837,797,
952,866,134,290,947,433,775,267,041,610,275,095,998,910,486,876,967,138,793,
289,171,353,372,887,502,844,289,289,303,590,435,638,201,366,165,488,637,648,
954,055,330,566,184,424,583,484,932,246,505,331,427,374,721,579,695,972,764,
499,134,631,987,288,397,807,405,652,308,067,120,099,231,087,769,622,565,971,
751,769,106,784,239,321,209,989,233,087,589,154,001,981,185,832,045,386,046,
613,692,452,389,986,865,763,198,392,438,854,844,334,389,222,059,096,858,271,
539,962,961,604,891,000,890,139,780,164,962,652,765,935,260,122,666,976,197,
398,997,892,649,640,570,695,590,049,553,171,180,633,386,620,792,955,873,778,
655,586,898,968,609,347,476,361,086,884,281,888,360,988,537,467,084,814,921,
132,474,362,379,632,015,633,222,405,979,730,807,489,385,589,349,921,265,513,
257,705,501,230,674,455,549,655,301,578,234,041,838,965,512,195,219,449,896,
297,489,597,978,080,785,113,694,706,584,244,932,263,470,564,212,728,022,606,
004,261,969,997,909,940,016,773,609,664,534,423,425,466,821,905,668,903,731,
589,585,207,658,481,496,543,917,519,666,390,637,523,753,300,071,003,270,059,
241,543,878,193,454,866,288,253,794,292,916,760,455,714,396,243,675,116,816,
503,659,171,025,312,255,124,950,273,765,996,698,499,888,631,249,715,851,141,
580,234,381,135,104,314,881,849,975,182,925,426,155,609,010,062,215,470,489,
493,894,959,927,469,691,112,568,494,032,546,242,471,645,971,392,408,092,699,
703,366,010,357,456,479,800,365,089,747,501,267,222,610,194,577,525,189,964,
633,504,196,315,502,084,376,670,378,347,630,469,146,001,186,952,630,999,365,
810,586,832,902,817,670,248,299,396,780,709,421,173,333,639,109,523,478,458,
256,176,429,179,618,498,414,370,845,205,370,109,394,053,329,238,809,248,132,
143,554,417,976,671,107,394,705,937,031,431,991,513,994,426,717,508,845,165,
074,557,818,466,529,756,106,500,265,782,642,771,133,211,372,197,551,418,762,
339,377,318,445,675,836,483,034,621,041,546,652,646,620,292,119,094,478,743,
900,180,821,766,697,146,719,262,991,073,276,492,891,346,616,362,562,871,483,
511,548,026,722,091,764,082,563,819,541,211,382,896,814,153,027,195,317,229,
129,739,883,839,069,356,440,878,015,135,778,847,467,275,498,290,076,424,130,
550,356,070,244,222,098,504,461,498,754,489,338,810,492,864,067,232,539,549,
124,585,675,287,627,088,474,585,811,847,609,444,557,192,547,834,129,287,499,
599,620,373,485,392,364,473,662,334,173,405,437,312,878,122,458,896,838,173,
085,881,695,321,224,264,649,640,735,562,915,332,839,404,606,115,458,296,283,
403,548,769,040,924,563,638,943,015,895,287,733,631,488,234,219,115,765,267,
732,818,023,923,577,141,296,777,651,359,397,330,673,290,050,421,702,077,547,
177,399,452,270,092,483,465,379,174,824,365,762,504,451,959,766,575,719,540,
692,747,155,947,580,766,606,270,889,986,269,929,774,678,464,898,119,237,397,
956,713,272,621,128,703,559,378,294,408,830,916,367,948,320,984,761,237,828,
826,664,038,824,110,907,497,017,960,226,215,459,131,677,362,694,796,619,776,
207,974,582,956,446,432,220,738,088,134,103,246,248,538,592,109,439,038,906,
150,254,276,357,436,185,099,518,383,344,386,572,850,455,343,612,281,830,345,
145,118,856,904,799,807,337,315,043,959,698,621,248,454,750,106,003,554,616,
099,377,134,735,302,191,458,649,256,696,278,269,777,159,788,591,064,048,737,
247,693,023,550,654,674,501,199,974,889,153,633,991,782,565,212,450,256,556,
458,607,112,220,017,893,879,437,455,751,858,928,645,935,833,803,038,873,869,
502,261,989,719,803,304,959,116,641,273,477,455,688,075,790,872,208,004,311,
232,001,361,905,761,038,173,865,285,100,566,648,234,258,363,481,210,940,208,
379,417,907,755,838,135,074,279,168,122,373,667,495,976,324,905,888,075,312,
873,197,072,048,783,534,271,916,132,059,266,186,021,407,810,462,872,518,893,
555,760,705,815,958,773,217,771,556,343,821,865,813,732,393,957,040,419,392,
932,743,482,739,968,937,154,377,765,589,293,643,206,773,391,838,491,086,117,
348,938,459,264,212,028,437,819,192,170,196,989,953,882,869,809,115,046,500,
881,391,721,527,147,287,689,090,523,327,195,204,564,121,768,928,373,786,207,
565,284,320,108,858,613,886,584,371,402,961,415,819,228,031,588,544,765,314,
223,155,688,674,994,406,137,446,032,938,985,473,940,731,527,428,517,855,971,
468,145,632,787,101,346,485,594,874,234,420,449,189,334,280,842,522,725,353,
885,479,361,174,355,983,135,736,839,037,934,453,567,240,846,309,293,814,889,
978,984,202,088,455,359,892,789,888,987,261,953,252,946,688,086,214,451,601,
694,818,342,745,490,965,013,568,002,545,315,237,669,859,997,170,860,996,608,
844,425,065,925,340,096,757,377,984,431,164,977,539,595,963,576,818,018,502,
823,217,180,769,303,197,365,294,965,353,574,885,844,102,859,182,960,840,337,
200,048,363,946,044,465,516,638,640,840,560,846,606,533,415,013,959,332,783,
658,094,967,145,449,398,018,262,728,461,051,713,591,230,653,340,815,148,595,
562,779,249,071,974,091,788,628,393,717,157,004,418,354,857,599,175,908,100,
107,718,511,240,228,967,109,924,096,503,787,328,480,636,400,912,128,778,786,
807,060,121,564,119,795,328,017,729,881,251,427,119,025,252,406,970,776,198,
632,553,450,903,412,818,786,058,783,303,224,484,797,701,853,509,326,162,163,
535,731,027,872,237,019,961,274,487,503,067,261,612,435,368,328,623,790,394,
603,510,174,859,173,023,533,905,966,761,232,332,002,135,610,871,179,826,981,
107,269,629,318,737,812,267,991,458,505,489,716,414,160,325,921,794,444,224,
676,424,107,147,658,786,055,027,641,094,707,449,910,141,361,715,903,145,635,
676,350,127,960,876,308,309,716,316,418,162,313,914,392,040,356,780,728,150,
656,839,322,643,794,728,796,701,298,341,777,384,014,512,401,510,514,207,044,
263,194,974,317,229,891,566,314,341,036,235,955,511,579,912,170,843,953,887,
181,533,964,438,850,068,656,862,692,827,756,485,896,449,730,650,234,107,347,
872,976,588,585,990,996,875,986,664,824,281,881,389,607,815,329,955,322,622,
038,517,284,029,230,981,149,602,725,042,339,821,254,340,717,448,889,625,169,
665,215,759,832,847,439,247,639,092,474,647,464,489,169,901,810,570,316,989,
928,235,900,494,253,172,621,195,716,316,499,463,110,588,627,559,906,083,278,
151,651,344,101,497,093,262,675,139,090,862,032,678,022,618,988,894,971,226,
167,184,621,437,309,728,378,010,041,737,908,280,571,869,507,183,293,941,710,
205,855,305,489,414,179,996,698,586,184,321,080,805,634,025,542,574,382,229,
498,104,105,285,966,108,376,741,046,800,849,493,838,010,032,971,104,133,064,
880,374,924,464,977,164,702,401,980,215,711,127,549,153,141,836,187,376,511,
070,147,813,428,944,420,273,234,745,283,976,455,247,886,055,974,316,729,724,
639,493,930,394,156,858,522,071,207,803,575,260,434,120,493,855,012,337,875,
073,918,487,587,316,853,285,680,495,091,115,671,088,848,733,941,972,783,373,
429,274,519,555,801,873,153,465,756,683,685,721,574,647,248,371,186,590,609,
696,408,482,567,316,463,290,248,246,993,407,357,083,494,098,910,135,688,711,
447,334,486,220,599,610,932,794,817,751,037,721,732,295,397,753,203,450,837,
858,400,841,102,996,742,256,743,450,148,505,775,647,602,552,653,909,452,113,
520,048,811,487,417,115,658,206,002,743,929,315,757,980,303,655,409,687,709,
928,472,944,122,738,863,709,775,088,058,850,959,205,730,103,801,709,149,997,
622,479,915,173,839,916,697,577,278,439,582,779,750,311,477,344,242,503,046,
625,218,991,400,577,456,016,133,228,550,779,176,498,105,364,011,699,582,134,
015,276,760,364,616,268,015,680,569,279,677,304,348,277,532,055,381,316,033,
097,033,804,839,383,086,905,204,080,088,638,465,492,469,708,785,181,416,930,
457,864,168,722,450,021,996,214,400,146,251,662,790,543,027,352,975,952,115,
202,330,887,075,952,192,463,802,276,139,145,073,945,016,856,152,810,687,786,
043,417,517,229,026,696,775,621,319,563,288,556,239,745,206,993,652,887,635,
284,166,521,054,938,477,543,931,825,897,011,297,187,201,121,705,160,904,919,
994,082,165,963,171,210,778,768,074,624,477,174,757,542,434,137,487,082,825,
537,611,696,250,864,156,440,246,773,680,316,226,140,997,676,930,133,721,582,
257,658,560,352,135,044,729,277,939,173,512,056,441,982,048,934,346,823,626,
339,697,736,526,889,174,940,999,140,377,939,429,426,834,908,901,972,477,299,
671,958,043,323,426,360,747,734,062,048,178,039,655,109,688,483,633,728,437,
139,204,892,448,838,349,635,414,549,964,406,561,904,137,537,377,335,568,905,
929,502,777,533,636,075,179,410,425,305,260,493,438,521,668,331,472,728,531,
333,129,426,709,563,651,108,179,603,951,254,697,246,527,135,981,518,424,688,
320,548,376,115,263,097,020,623,635,534,813,890,852,522,747,708,264,398,464,
207,487,852,748,360,904,277,906,430,177,301,440,773,136,486,542,438,565,788,
158,739,761,345,008,802,529,148,763,552,098,985,723,230,273,170,566,549,974,
499,218,108,310,912,940,299,084,193,937,215,386,942,375,824,762,422,584,982,
124,461,295,618,667,117,497,102,985,188,661,836,447,904,884,176,865,751,270,
384,406,422,691,258,333,872,600,234,071,270,725,699,202,131,996,830,761,729,
760,971,880,753,429,076,667,003,267,827,469,899,414,974,463,648,279,519,646,
210,308,155,924,143,593,875,866,325,568,503,791,609,772,348,707,315,043,688,
345,387,664,644,290,356,226,387,984,044,174,630,284,722,166,388,447,569,977,
943,500,504,454,689,508,816,863,134,848,915,850,406,676,202,121,598,193,560,
795,057,416,140,716,340,326,988,140,479,490,418,828,458,543,345,397,364,311,
470,258,686,439,303,179,374,953,499,197,068,369,215,617,847,408,132,729,971,
764,918,043,800,389,553,487,370,325,650,376,539,532,932,147,538,362,816,173,
763,887,865,591,392,799,829,509,460,920,251,815,415,133,164,095,615,980,840,
493,718,278,999,143,459,930,578,459,097,869,283,858,083,121,885,981,661,675,
742,488,628,658,161,631,819,522,495,507,331,983,172,341,469,451,006,335,137,
413,521,267,083,580,552,538,956,151,550,233,955,081,694,178,703,223,344,353,
751,741,144,653,103,089,242,564,489,597,896,932,596,134,741,516,413,171,643,
860,608,362,594,756,793,113,234,047,769,263,698,314,760,608,063,146,229,341,
862,184,450,350,796,535,117,061,263,400,728,070,209,607,799,555,885,987,016,
164,950,481,327,884,337,731,830,552,365,846,289,888,084,795,805,755,201,390,
926,716,660,389,531,227,748,901,718,662,216,340,056,377,591,628,255,271,256,
922,232,924,237,289,554,742,055,449,508,273,989,972,465,378,247,660,690,308,
197,868,881,119,835,134,357,065,468,008,044,575,075,992,973,979,798,186,164,
862,112,133,840,656,060,874,340,614,529,945,893,259,242,102,925,701,607,204,
920,415,622,412,995,675,473,092,252,766,665,646,636,669,923,828,297,578,932,
668,378,258,977,859,022,848,074,041,343,345,774,238,113,795,175,282,714,990,
951,089,941,482,497,683,766,692,273,128,271,268,487,374,982,799,501,180,780,
015,347,428,931,182,950,509,588,754,450,824,254,653,531,248,547,285,013,210,
157,245,995,846,596,083,165,582,538,987,742,130,763,226,125,148,855,342,033,
228,167,112,154,782,940,075,701,320,620,617,754,589,881,908,395,994,840,923,
216,676,350,491,620,032,983,789,663,181,271,610,964,129,285,220,572,812,034,
911,622,028,198,522,020,644,747,490,292,986,875,305,599,226,532,176,552,390,
424,506,863,802,779,164,963,466,852,091,776,116,905,969,064,980,620,737,093,
805,551,976,471,503,129,152,879,220,519,547,029,258,873,520,153,057,470,837,
452,609,926,909,177,730,538,538,018,065,942,344,176,096,277,807,309,884,458,
043,011,266,304,181,964,894,545,110,227,139,011,212,834,226,672,619,716,386,
816,018,224,811,871,913,434,823,557,766,504,734,306,644,280,757,915,504,557,
696,224,286,206,631,076,847,195,279,144,962,203,400,978,977,941,499,894,112,
557,416,909,473,353,321,769,694,977,563,619,484,484,363,632,995,624,115,741,
160,449,149,033,725,481,648,629,356,844,026,342,006,083,660,161,315,387,321,
030,847,428,919,708,115,219,234,516,439,994,795,014,746,098,721,398,795,535,
171,810,536,096,758,349,250,468,461,920,431,935,666,209,309,910,598,309,049,
470,228,405,312,763,640,847,511,332,667,401,727,290,285,013,396,279,509,164,
239,532,339,680,173,203,910,800,502,155,727,157,230,846,966,714,943,588,799,
441,126,706,888,610,479,658,264,959,476,864,975,068,608,678,996,109,311,978,
578,255,541,704,199,915,508,554,991,702,373,860,606,804,127,048,046,538,981,
879,160,552,080,073,543,402,769,966,176,671,463,089,417,338,968,358,425,555,
367,526,994,395,210,952,920,353,193,095,168,466,136,771,414,689,708,058,291,
823,130,166,321,787,131,623,845,818,202,390,198,847,267,526,644,925,524,896,
138,401,489,597,587,713,608,053,253,725,280,932,425,616,022,975,292,304,422,
942,810,170,269,804,758,180,984,325,803,814,479,825,842,618,869,625,842,723,
806,484,110,712,555,741,933,034,047,010,534,259,433,666,518,020,892,107,593,
164,007,346,528,169,494,046,471,874,450,034,617,705,738,937,614,584,157,444,
273,633,748,853,160,056,903,267,742,814,464,021,338,218,440,957,146,206,834,
832,289,242,731,080,453,599,590,878,042,626,086,574,905,428,307,661,488,191,
095,157,989,140,716,899,615,968,352,552,251,604,190,427,810,858,067,444,497,
704,924,468,446,601,422,814,495,169,713,600,020,010,362,528,270,773,987,461,
719,675,972,229,405,162,413,842,423,361,742,795,003,831,325,338,825,850,096,
564,784,991,494,645,628,407,892,289,422,042,489,794,195,991,827,186,634,065,
472,185,402,819,294,133,417,980,486,963,323,434,027,953,538,542,335,692,340,
525,865,292,062,573,460,746,180,861,911,111,471,349,590,600,676,015,660,069,
852,093,294,193,543,978,203,165,274,597,359,108,060,382,607,516,550,067,752,
800,531,627,775,107,381,035,698,089,753,949,750,206,927,329,954,875,452,913,
984,924,203,781,900,101,477,201,995,062,771,926,444,173,662,340,112,139,281,
494,394,773,263,913,181,683,229,400,432,510,074,260,989,398,322,443,967,273,
105,219,706,201,255,508,180,702,615,067,046,089,000,839,247,660,092,408,389,
590,395,916,710,063,076,828,397,397,467,984,372,401,740,732,638,935,146,780,
285,243,026,547,187,838,176,983,495,204,489,000,268,047,217,612,448,511,036,
253,551,627,359,693,548,924,491,349,046,905,033,235,123,639,217,998,495,950,
572,459,453,068,137,096,848,684,164,540,343,884,762,497,517,211,806,567,234,
946,984,063,789,176,365,141,520,081,900,688,310,986,301,310,497,476,861,526,
685,332,295,504,607,260,303,410,004,969,465,460,264,850,713,457,377,263,268,
075,758,654,406,473,885,492,230,575,839,988,065,382,718,200,288,903,338,072,
127,229,491,986,361,241,375,966,062,504,232,698,901,274,933,490,885,632,164,
521,230,664,673,851,292,563,206,117,167,879,638,844,718,520,429,033,598,847,
554,364,076,899,665,506,847,931,805,496,543,183,460,988,682,962,612,959,043,
005,489,929,783,352,383,217,114,945,779,283,701,861,281,030,680,899,757,798,
425,677,643,291,041,941,006,538,826,973,132,875,698,529,198,002,581,097,801,
639,573,588,242,207,949,832,251,151,464,930,347,837,920,845,340,760,591,998,
648,649,498,039,685,963,995,608,746,443,655,730,361,722,393,148,985,021,839,
411,867,840,676,349,508,533,151,165,627,476,670,490,635,288,769,426,185,279,
761,783,642,720,481,352,442,725,007,103,400,188,482,289,281,311,939,018,639,
857,821,624,193,840,546,718,424,565,801,306,144,536,659,508,473,060,580,729,
533,227,686,638,442,965,419,698,035,043,901,861,432,741,119,785,260,033,220,
184,712,010,865,871,758,403,036,745,681,114,447,382,874,184,786,010,787,185,
876,900,096,133,278,627,971,235,287,308,382,097,985,385,203,795,848,491,283,
050,288,759,934,386,724,411,804,701,829,144,568,698,815,847,552,142,218,035,
771,270,405,684,361,198,437,929,981,298,239,267,719,585,605,208,693,851,641,
583,466,716,847,587,686,162,232,792,428,599,409,806,522,299,069,055,509,027,
580,869,964,683,240,175,661,773,358,077,561,232,223,879,314,839,606,898,222,
280,440,860,475,672,676,807,880,789,264,124,648,113,775,172,727,137,108,172,
606,896,060,613,708,331,687,007,228,546,913,075,537,695,769,326,581,875,796,
629,599,077,686,549,153,523,532,932,043,224,816,391,505,425,226,858,172,521,
610,524,633,730,492,829,836,429,149,603,057,777,357,126,423,037,269,012,962,
012,358,443,622,638,092,092,321,146,060,639,868,702,565,339,646,017,026,151,
183,140,799,069,097,592,510,386,200,213,521,879,059,145,939,094,105,209,881,
642,153,369,880,745,824,997,498,900,596,802,392,899,240,478,078,019,613,030,
401,748,765,046,643,334,283,572,072,800,312,887,434,585,872,173,008,322,471,
323,771,530,313,774,659,035,790,971,233,408,966,451,807,358,780,781,067,204,
142,797,322,211,764,402,168,344,276,544,460,223,569,727,275,438,567,342,036,
831,103,827,213,399,483,574,277,669,743,354,841,345,056,703,174,289,564,935,
588,947,758,502,435,803,120,855,746,130,757,657,087,960,329,434,671,477,071,
416,434,785,591,443,377,978,922,466,939,377,822,428,291,740,062,143,910,241,
997,630,433,786,724,769,050,851,558,828,348,120,411,950,022,529,354,258,671,
607,064,616,024,237,058,133,403,460,879,334,598,454,504,997,553,622,626,300,
395,326,454,358,091,130,715,915,465,999,049,917,984,376,818,320,051,430,345,
691,982,230,459,858,375,956,242,800,274,626,371,032,694,034,836,652,726,532,
912,176,556,181,882,538,735,189,716,059,001,608,224,633,828,621,082,495,707,
976,141,930,707,988,476,424,137,758,897,079,564,282,189,859,993,509,289,644,
478,200,364,996,795,128,160,372,696,197,157,936,042,117,645,045,085,555,507,
928,194,090,795,942,475,833,953,270,622,661,494,884,274,353,977,438,044,975,
999,419,980,819,959,775,966,258,216,816,169,338,988,261,984,166,614,744,496,
442,037,820,738,121,991,037,376,272,400,739,994,654,858,528,929,524,865,896,
196,316,102,875,475,924,471,214,056,354,497,701,919,497,210,065,484,128,929,
644,020,957,265,072,340,245,123,320,378,099,589,555,417,946,657,260,062,616,
771,455,101,178,527,724,145,102,460,220,671,282,793,703,411,669,798,574,353,
791,606,403,346,843,921,968,245,520,176,983,239,135,077,509,553,656,010,526,
568,833,347,469,191,128,484,245,618,557,854,194,926,203,321,923,420,167,248,
091,362,227,383,749,766,113,735,088,678,681,280,572,596,714,173,262,728,066,
190,755,683,368,381,625,451,153,294,587,899,975,981,592,146,771,359,442,478,
244,617,296,711,260,051,433,980,376,262,504,443,181,472,112,805,410,707,351,
190,726,804,375,857,361,951,188,399,087,802,118,997,579,552,890,989,814,793,
012,414,490,402,246,142,227,069,482,381,671,598,355,156,168,443,612,368,654,
989,559,733,495,021,304,557,159,304,091,184,354,387,366,917,165,463,597,118,
540,323,436,592,677,746,288,977,603,479,560,165,524,929,127,372,480,035,516,
404,277,257,132,513,717,854,337,817,244,705,398,564,868,173,021,001,908,911,
872,919,893,070,401,691,598,711,397,795,833,217,255,470,040,937,835,021,824,
377,770,990,948,263,278,068,725,111,952,986,397,157,626,266,190,140,272,708,
741,430,453,620,852,774,224,597,619,382,952,870,036,881,716,075,228,049,347,
520,417,138,019,689,376,201,035,101,801,668,602,799,215,023,273,441,803,935,
100,226,302,363,297,173,156,324,679,385,116,129,682,848,525,731,428,521,386,
267,587,633,688,440,022,086,557,208,110,946,921,785,596,226,561,967,418,120,
003,929,568,813,109,429,482,226,214,372,443,230,254,621,449,690,264,779,325,
833,033,984,210,027,035,833,111,325,174,203,514,255,289,939,002,746,970,960,
220,430,272,327,988,572,638,002,306,456,655,594,216,272,664,338,614,368,372,
738,372,808,725,249,349,701,668,102,267,604,059,251,312,429,030,259,843,504,
059,089,571,735,906,323,031,570,362,989,042,139,327,890,176,622,447,860,805,
002,210,129,074,168,226,287,375,137,464,542,465,966,354,829,151,762,961,128,
129,386,770,352,085,494,573,473,992,434,034,050,971,542,202,620,123,783,940,
877,722,279,324,722,250,114,213,116,284,162,987,764,039,592,398,061,186,326,
040,369,547,765,738,189,991,582,687,608,142,603,159,542,446,112,300,500,006,
008,005,660,889,762,083,676,694,038,293,532,080,671,283,241,322,999,321,794,
626,633,112,529,516,593,982,316,177,866,928,205,029,944,378,062,118,513,301,
148,010,004,768,025,372,811,179,806,880,583,986,801,187,173,673,773,366,714,
735,762,651,614,346,188,263,087,619,607,594,848,410,868,244,007,449,472,943,
990,133,821,034,650,035,910,949,939,869,295,074,967,165,357,361,274,032,637,
085,061,734,804,847,891,168,790,070,982,938,130,101,957,111,957,685,752,294,
134,576,147,034,160,524,296,170,490,783,436,741,238,602,459,178,017,242,708,
810,036,839,238,225,125,896,720,361,727,348,122,605,488,479,599,995,797,910,
054,837,035,988,843,164,546,131,638,778,661,992,411,267,212,620,303,207,883,
565,911,466,392,575,972,983,537,239,138,810,297,436,779,732,767,008,304,571,
136,068,389,741,329,599,024,275,888,619,935,270,085,308,030,713,400,352,698,
635,826,146,049,780,949,987,958,572,856,120,973,083,966,943,580,532,087,550,
157,912,891,655,478,193,176,435,164,974,041,027,224,981,188,234,792,440,829,
093,564,274,144,298,533,632,668,660,914,268,298,165,397,075,215,746,277,507,
287,425,664,116,560,301,137,778,900,212,597,250,831,939,967,873,582,760,097,
763,179,165,059,311,541,865,629,430,868,165,128,186,360,523,975,462,834,212,
317,594,787,051,547,706,109,290,946,905,705,942,380,012,571,110,302,205,419,
846,895,030,729,950,469,695,618,580,331,803,668,080,418,081,321,351,444,765,
635,495,797,574,230,964,861,889,538,047,376,475,004,735,336,268,074,852,021,
615,394,929,044,205,255,414,830,249,109,060,594,205,793,900,825,123,715,332,
532,106,013,511,793,919,432,843,751,035,933,529,437,425,471,069,964,431,870,
893,435,149,973,481,717,300,972,746,113,197,649,322,857,563,886,966,561,844,
647,059,933,093,923,423,233,464,432,136,058,455,695,880,001,057,871,871,621,
710,648,901,422,856,894,346,796,734,430,571,839,132,088,720,437,122,527,175,
512,453,003,059,261,583,457,097,531,459,251,459,750,530,385,275,381,247,499,
106,852,765,918,483,585,675,166,489,308,006,717,848,904,762,960,222,461,457,
909,313,776,672,690,842,079,307,053,513,338,962,541,647,011,888,830,634,869,
706,979,443,033,553,507,219,820,294,582,128,735,475,409,720,488,519,158,065,
853,515,218,428,505,272,844,734,260,111,325,944,405,426,150,475,008,949,485,
677,271,150,970,770,485,325,189,010,991,346,868,116,440,620,975,691,415,713,
482,676,096,884,181,700,215,590,738,746,441,212,573,921,053,715,176,302,007,
516,655,366,278,368,555,333,584,654,742,713,702,580,753,392,982,988,481,840,
089,743,051,785,330,857,631,502,814,838,643,980,056,944,407,148,644,547,463,
657,078,566,420,139,950,042,729,123,532,816,408,408,873,980,180,171,693,398,
844,199,227,853,899,911,805,241,373,165,721,032,677,486,340,015,164,760,805,
340,888,183,736,504,558,151,678,609,045,050,094,893,230,686,491,319,302,519,
142,060,067,139,757,045,319,893,684,950,731,641,207,309,807,541,962,094,467,
918,342,780,178,780,162,056,495,706,166,965,326,761,824,507,411,254,269,621,
366,651,457,240,470,556,980,193,683,149,082,802,087,567,067,975,859,307,002,
391,106,341,038,301,336,596,427,091,615,549,014,388,974,359,122,612,271,662,
088,781,509,052,103,142,987,780,818,454,323,062,046,945,911,335,785,451,955,
631,354,935,365,746,530,176,985,101,256,229,056,848,084,608,584,023,519,116,
623,669,442,076,563,866,162,167,191,412,944,710,064,905,313,627,507,604,678,
886,010,732,819,093,710,801,712,341,644,500,582,203,637,163,642,119,100,792,
362,397,664,108,944,520,095,932,737,338,319,345,203,371,900,911,010,168,726,
328,846,238,882,860,800,679,694,946,547,048,233,963,899,105,129,052,922,668,
468,875,380,326,073,979,145,718,776,760,454,037,114,722,667,308,679,122,743,
370,916,192,706,197,427,847,921,906,030,212,092,401,073,361,654,632,838,874,
775,303,048,064,813,065,767,337,231,822,827,966,539,558,975,387,734,096,544,
733,457,523,338,070,214,651,960,549,379,576,169,994,810,464,902,244,485,471,
293,919,565,969,338,725,425,928,844,199,530,504,756,549,680,457,536,034,869,
452,535,747,059,334,303,350,089,916,907,298,545,356,333,041,763,805,677,296,
538,273,075,324,988,862,997,375,411,237,155,791,634,844,613,450,025,045,160,
321,308,122,600,279,709,678,267,187,512,113,197,806,538,853,744,955,751,132,
128,911,568,060,548,754,733,571,289,894,182,311,512,635,587,382,873,897,779,
560,568,035,365,271,725,251,757,043,259,038,840,860,953,458,785,284,101,546,
234,815,104,608,600,671,634,411,798,244,243,216,385,898,676,880,677,855,026,
904,640,415,304,266,033,312,447,722,267,764,068,221,421,260,034,599,915,230,
084,956,055,005,529,202,448,897,323,942,354,858,775,595,814,044,804,153,104,
362,473,361,643,445,663,871,627,706,794,526,601,201,954,007,942,474,045,222,
663,524,298,359,584,204,559,104,881,984,951,892,500,887,307,273,367,315,731,
107,067,632,061,227,597,557,318,000,676,267,086,327,761,557,910,810,635,908,
556,324,293,319,073,006,336,603,442,238,128,362,160,314,944,528,279,006,304,
820,271,418,124,717,430,655,528,478,279,509,594,305,762,803,257,273,544,602,
329,800,822,523,918,568,366,581,496,540,012,261,787,474,541,718,120,221,808,
317,895,331,947,826,523,033,934,902,398,491,811,441,252,271,795,324,114,856,
209,411,149,730,167,888,976,979,374,179,498,859,642,932,723,305,662,755,299,
717,299,601,278,038,871,764,005,655,900,656,997,440,853,876,183,337,562,899,
490,775,574,319,250,039,429,579,045,257,025,542,414,887,926,387,738,306,367,
395,299,438,781,986,021,950,856,960,674,298,159,964,603,266,328,222,984,634,
973,275,642,272,398,245,530,311,429,675,743,179,753,698,403,834,616,113,095,
688,726,847,484,750,114,464,143,623,281,845,949,898,750,576,955,196,768,407,
313,644,751,722,217,599,205,228,767,366,330,321,773,873,597,540,805,792,676,
687,956,372,050,511,046,299,681,690,760,366,523,330,659,087,187,948,823,400,
946,668,556,476,969,702,416,325,503,427,490,461,912,154,479,973,970,856,005,
224,677,355,632,037,582,761,298,574,391,281,406,424,370,858,799,639,439,823,
058,321,800,353,173,540,620,255,558,913,576,708,925,483,892,011,620,453,282,
805,457,884,703,029,794,722,977,929,403,434,765,997,878,038,219,393,673,882,
563,679,381,590,770,952,158,796,806,436,406,665,062,983,903,903,595,577,808,
608,024,555,683,953,417,324,100,022,128,226,439,718,712,959,429,751,899,958,
200,343,549,747,307,161,222,887,916,388,631,489,998,857,532,604,852,045,173,
587,564,228,937,390,698,490,563,432,824,890,083,179,309,765,285,916,846,750,
685,635,256,475,711,085,213,352,309,500,849,198,921,970,771,360,605,248,570,
534,896,301,076,395,849,656,833,172,281,994,045,310,423,067,756,677,983,641,
555,632,825,750,052,633,060,726,618,852,984,127,008,801,915,521,429,235,640,
455,497,315,541,191,222,519,259,036,562,135,936,125,600,497,873,941,652,371,
669,524,378,716,690,451,353,513,525,477,228,487,406,890,354,273,875,055,265,
042,571,355,267,320,851,294,502,531,314,548,172,513,543,472,531,383,830,841,
960,110,759,549,647,271,656,660,547,600,871,047,101,077,057,380,723,279,571,
219,405,848,168,872,432,560,436,542,594,714,919,500,846,870,198,898,875,638,
531,861,338,096,943,743,233,829,410,931,331,365,167,180,594,091,773,299,159,
209,105,204,753,880,124,075,867,284,023,823,921,795,970,106,299,591,745,079,
843,413,512,411,993,846,287,663,249,133,626,204,757,426,947,565,520,996,041,
319,155,329,457,972,283,995,892,948,226,008,376,847,452,232,458,179,800,925,
235,161,189,761,798,853,125,548,854,505,079,738,847,737,467,670,896,523,944,
772,926,864,467,020,593,429,274,255,488,722,500,492,293,997,698,868,759,428,
521,778,979,596,949,450,372,398,585,786,399,668,128,820,662,946,732,327,606,
030,707,717,291,872,305,974,416,498,004,682,262,970,387,178,060,627,934,022,
181,971,927,321,700,883,308,348,456,790,329,180,843,464,804,972,488,917,527,
163,200,409,775,270,359,127,565,627,757,391,048,487,930,469,861,589,283,923,
289,372,925,077,440,398,840,021,663,340,620,177,752,343,446,063,626,337,769,
786,605,463,606,535,015,450,294,146,837,742,535,308,170,545,482,544,166,847,
788,901,085,363,015,292,735,791,656,397,648,918,100,492,165,458,106,190,175,
430,411,653,907,244,748,556,575,730,118,611,426,326,643,153,354,192,522,672,
961,374,969,048,502,940,616,792,772,352,779,037,842,424,178,993,385,254,818,
375,168,744,276,728,472,184,906,231,964,543,384,733,165,888,731,810,680,694,
686,810,540,321,535,729,526,254,920,129,926,733,876,753,721,102,613,214,732,
826,882,854,211,091,611,920,262,137,595,512,492,707,839,219,080,396,087,402,
697,317,708,856,314,230,850,818,489,033,814,911,838,773,259,662,468,727,600,
424,698,123,668,261,612,141,023,146,862,411,631,024,136,484,508,764,961,757,
211,423,236,431,315,327,354,094,433,653,104,959,688,493,302,081,872,696,085,
677,681,242,628,622,281,567,718,768,539,367,068,787,901,050,817,435,075,298,
449,416,109,976,844,128,386,943,236,325,203,597,029,723,434,669,653,815,098,
303,624,099,982,452,935,608,937,641,489,975,353,319,462,657,467,534,869,374,
346,144,891,172,690,040,657,225,710,070,365,426,336,895,154,091,343,297,119,
133,574,523,816,200,791,851,055,243,666,666,841,683,930,412,190,678,703,690,
144,608,118,668,005,396,359,181,785,628,435,074,546,167,674,036,954,747,344,
013,716,786,272,026,903,546,419,129,887,528,789,256,919,852,432,674,349,419,
080,070,818,761,269,758,504,180,948,586,946,213,569,320,514,476,681,974,742,
057,809,936,936,357,757,482,649,668,752,404,377,363,054,740,108,427,153,386,
840,708,211,162,184,543,322,909,603,369,434,440,525,959,847,555,918,402,541,
075,672,527,616,729,541,859,673,469,263,635,213,214,109,235,766,340,347,527,
363,704,669,191,452,035,487,135,785,442,841,535,460,419,168,780,959,886,570,
130,596,527,470,960,175,137,638,588,522,852,869,653,059,217,336,480,547,718,
676,901,757,381,776,635,210,532,615,422,518,739,024,322,874,004,576,764,985,
540,037,051,089,282,714,214,376,964,349,545,005,733,954,449,036,631,496,291,
902,076,915,979,208,637,777,123,947,972,667,446,245,189,024,987,258,595,555,
611,836,354,767,188,931,843,276,422,350,347,883,409,400,297,292,185,803,501,
181,433,286,081,824,538,595,754,653,154,679,823,212,670,070,330,914,454,248,
381,909,682,843,615,539,350,366,299,385,691,568,383,489,833,055,197,952,890,
694,991,267,298,328,472,785,126,526,648,134,630,961,833,356,048,477,343,226,
854,448,379,288,129,624,806,051,031,849,630,412,182,637,534,304,530,202,999,
194,360,421,227,114,897,183,188,012,436,137,972,817,393,727,842,125,327,311,
252,990,048,698,369,468,384,787,926,015,296,661,560,331,103,078,932,605,517,
181,388,436,630,353,040,503,975,893,832,679,899,517,730,994,917,980,615,561,
187,425,977,318,227,163,212,764,267,178,928,565,797,597,899,211,894,636,710,
927,127,046,864,974,205,359,420,039,977,802,497,764,983,607,485,939,067,591,
619,457,295,509,994,280,265,742,090,935,363,365,003,013,386,028,617,815,368,
514,033,472,709,809,782,826,130,482,447,537,569,937,994,046,024,472,690,707,
922,089,349,292,673,230,850,885,724,596,763,256,676,510,197,276,301,188,031,
946,617,159,374,737,363,432,276,799,194,265,800,435,825,818,113,559,929,186,
570,578,444,966,574,786,423,542,653,832,711,638,669,532,782,154,883,278,678,
311,866,204,181,176,671,813,109,548,614,581,158,312,745,887,696,427,325,447,
068,770,311,219,310,713,877,226,918,700,912,809,133,524,830,811,454,360,472,
499,306,651,050,008,111,633,461,241,798,534,347,677,207,913,226,661,164,345,
812,776,972,113,993,598,173,024,902,139,685,834,856,511,547,584,452,237,046,
602,325,531,804,663,846,996,196,488,312,788,633,854,189,011,465,124,220,119,
571,436,087,610,511,704,967,385,867,141,918,057,466,447,490,521,485,716,885,
548,109,051,453,906,120,595,851,347,150,596,857,635,559,685,597,139,308,241,
300,728,274,004,338,071,973,553,660,921,405,443,902,416,547,846,503,417,616,
506,973,331,062,045,989,879,744,600,499,965,999,362,001,446,989,531,991,991,
775,176,201,325,345,921,402,369,690,326,746,732,905,191,265,950,132,681,269,
316,190,465,877,866,342,142,372,875,809,531,108,049,201,478,898,563,584,309,
438,673,607,838,885,867,451,280,208,901,546,758,260,772,629,232,326,115,345,
297,959,316,544,379,920,352,557,408,146,684,427,638,673,567,089,896,971,970,
559,159,250,168,355,683,537,505,828,836,387,292,386,311,151,266,687,944,348,
058,495,839,658,774,015,216,289,116,080,536,673,468,250,314,424,878,755,696,
096,256,428,175,659,836,695,091,789,291,701,891,076,970,115,105,685,440,623,
691,372,451,567,878,950,727,624,959,357,657,069,327,341,524,977,099,620,018,
174,733,981,955,629,799,292,037,072,228,407,394,276,028,093,616,475,334,525,
341,449,086,696,695,405,657,023,731,418,184,524,311,158,437,932,759,138,879,
075,033,039,135,699,466,201,475,392,048,187,510,590,206,772,734,603,912,554,
644,134,680,148,882,429,368,564,874,381,600,974,145,208,452,151,172,297,733,
839,389,520,703,404,088,368,418,092,713,534,306,174,269,123,723,632,056,930,
535,711,246,587,845,944,185,700,477,544,165,027,701,815,439,720,310,969,476,
048,943,384,008,842,124,486,488,488,109,058,038,001,125,205,326,153,050,627,
991,646,114,479,388,290,698,496,181,822,768,181,587,527,204,821,557,897,230,
598,159,710,279,567,456,089,395,018,983,709,398,239,954,947,337,481,343,627,
460,080,241,994,316,306,577,374,868,987,229,489,608,076,955,018,357,207,431,
081,545,736,634,782,794,989,264,076,678,440,017,352,933,029,512,612,686,506,
686,606,609,042,312,063,803,032,475,623,624,973,750,844,192,226,599,414,563,
280,182,579,584,546,611,079,351,025,231,531,669,137,082,270,907,448,404,833,
174,148,671,376,323,482,090,558,002,957,935,388,760,146,917,311,542,872,509,
252,313,803,253,700,130,057,302,343,900,690,797,982,617,870,765,992,625,852,
691,372,785,452,719,830,082,234,258,646,481,580,748,941,835,429,068,274,102,
024,002,990,740,574,398,244,862,538,231,319,096,635,274,612,588,403,862,216,
470,999,492,464,600,899,834,757,695,245,247,372,462,709,063,591,640,836,226,
447,245,952,169,879,989,004,887,100,584,673,514,483,874,889,085,316,811,875,
252,289,119,091,407,548,679,850,459,923,689,538,499,935,050,752,125,653,710,
611,787,133,853,781,740,755,375,617,588,945,492,295,802,365,286,632,724,462,
401,276,487,306,312,569,660,060,101,770,078,166,561,596,313,339,356,828,457,
389,775,778,257,572,300,801,107,228,077,442,468,573,106,241,130,912,818,060,
004,836,858,358,477,797,930,416,228,132,411,615,223,377,134,155,976,468,071,
243,116,972,646,065,139,774,153,027,186,926,326,476,425,116,684,935,768,860,
928,545,701,190,726,062,042,002,021,702,695,753,174,972,153,566,284,195,393,
797,656,346,585,703,906,937,096,594,251,434,196,705,468,989,086,727,974,315,
549,519,231,513,139,863,140,913,599,654,629,107,461,823,475,347,440,210,610,
301,209,788,754,589,757,652,512,822,640,420,129,297,088,906,970,716,312,599,
992,023,484,443,998,085,911,961,091,486,159,836,765,992,227,890,807,503,695,
884,492,300,725,578,104,403,042,690,588,687,575,830,865,318,367,148,417,846,
424,322,858,502,587,221,430,096,485,652,428,974,616,337,769,793,301,495,270,
451,244,990,201,913,050,896,566,555,359,261,184,672,212,848,940,330,087,786,
074,020,108,536,501,503,087,712,479,219,557,542,046,036,444,568,565,198,981,
455,659,532,706,822,825,408,597,027,751,970,127,314,098,165,724,492,574,808,
794,907,460,003,136,000,308,149,106,072,078,804,986,833,764,730,922,624,252,
282,141,699,480,475,921,019,101,706,907,415,093,231,219,455,456,023,255,004,
534,544,390,771,944,351,704,386,127,886,850,001,933,835,671,328,006,301,625,
598,507,056,752,184,665,841,682,356,370,596,338,643,161,443,282,609,528,693,
233,054,684,968,735,264,902,043,181,155,544,985,397,070,482,996,704,832,496,
121,242,767,675,250,711,485,704,298,064,202,519,798,162,920,814,172,553,817,
546,774,859,027,055,527,083,978,300,368,078,330,086,888,843,233,731,684,277,
436,319,075,370,419,000,966,451,317,414,417,093,615,808,992,855,678,649,014,
291,035,820,554,928,632,877,694,893,383,514,854,284,167,464,636,681,486,185,
521,439,774,598,285,461,367,323,185,089,545,999,856,331,936,739,682,504,554,
524,962,899,829,343,664,403,582,398,153,745,842,388,607,426,592,771,465,208,
584,399,355,609,825,498,128,690,967,943,316,553,400,188,006,717,933,317,164,
888,524,894,907,748,165,029,753,146,359,454,044,132,568,919,922,385,374,457,
143,976,318,208,440,200,736,699,829,297,242,244,157,160,544,766,483,261,582,
471,394,850,507,892,350,485,526,442,044,323,058,401,472,020,475,351,988,915,
842,476,457,446,601,959,405,809,158,659,620,797,177,205,227,943,105,230,708,
521,685,635,232,349,769,166,235,396,139,016,966,019,633,975,123,278,066,150,
106,627,392,882,641,073,512,165,419,037,116,183,792,455,921,189,964,216,247,
199,846,130,478,082,949,835,694,554,609,932,960,519,784,130,071,061,269,696,
429,092,372,416,794,227,725,876,036,852,043,480,733,443,050,376,088,127,553,
943,181,536,659,399,716,606,323,015,898,436,021,601,288,494,822,173,975,913,
476,203,556,768,425,916,724,044,753,371,875,564,215,951,962,547,284,179,819,
015,733,884,051,027,813,504,262,471,791,606,798,632,299,486,364,835,717,381,
943,817,143,569,874,013,823,208,834,355,790,798,649,551,723,766,923,669,713,
670,057,817,367,600,444,783,239,988,877,040,552,203,953,964,550,968,482,787,
073,872,943,212,588,719,686,267,665,652,653,007,308,938,438,149,959,306,822,
782,982,267,268,447,027,802,200,051,237,710,626,667,389,396,095,054,480,304,
777,396,016,033,570,624,999,800,284,314,427,797,553,957,398,994,455,037,495,
550,728,355,175,230,858,281,742,195,607,934,612,953,831,253,572,434,282,249,
864,670,769,997,860,849,661,724,686,997,126,808,500,435,632,601,801,434,354,
125,396,769,086,447,192,092,551,923,890,283,329,074,647,032,973,641,770,494,
381,547,679,351,329,113,871,374,097,784,534,441,449,613,303,923,925,885,388,
510,478,714,739,642,199,280,823,068,304,191,043,069,690,946,914,252,427,632,
506,981,486,151,095,514,557,157,391,546,830,118,343,060,425,735,403,973,071,
082,842,204,557,846,027,516,091,205,511,887,666,530,758,889,395,544,055,583,
834,887,663,636,382,307,500,460,467,386,522,113,465,074,762,210,554,888,452,
081,229,535,447,991,492,014,511,477,103,124,582,396,362,648,832,718,770,795,
802,230,217,260,538,915,787,803,933,197,607,726,012,036,671,901,071,028,783,
640,897,157,060,937,275,051,529,023,358,125,503,301,428,256,636,787,668,003,
695,691,924,211,075,097,619,273,830,185,061,570,163,166,844,024,609,422,403,
176,626,544,997,637,234,297,243,977,492,946,935,780,208,944,717,172,027,186,
479,548,434,271,389,932,843,543,051,801,277,069,565,898,611,768,655,492,408,
935,499,551,940,500,999,825,364,257,972,656,025,675,586,928,593,768,774,019,
769,389,968,795,671,502,706,390,508,477,554,375,698,138,806,739,147,662,250,
399,500,418,937,398,198,827,713,382,530,960,337,425,728,512,678,669,874,227,
658,170,081,138,798,486,898,323,907,965,989,866,594,727,600,082,804,976,896,
323,437,479,927,162,717,483,591,095,370,695,472,627,218,242,085,286,102,758,
742,197,817,703,654,789,153,237,576,868,020,629,602,731,489,932,454,767,746,
275,396,248,906,682,340,121,537,866,722,611,352,841,360,722,500,367,005,325,
305,358,298,683,065,245,544,780,252,764,871,652,389,775,810,840,375,525,082,
775,442,506,039,863,872,578,753,121,240,222,015,451,774,941,059,779,442,575,
425,107,097,187,608,453,490,813,029,131,258,554,888,461,183,239,201,960,328,
285,549,031,667,792,643,929,101,088,346,120,027,704,280,794,668,982,637,414,
940,791,867,457,390,945,376,918,145,046,746,689,637,470,445,422,707,870,093,
195,893,501,349,732,175,485,873,855,911,454,467,889,513,274,972,998,570,755,
708,153,860,469,691,407,115,495,020,808,937,845,852,325,478,465,692,898,485,
395,634,196,308,794,234,944,017,008,551,769,271,788,958,006,851,283,826,620,
815,912,719,460,228,684,706,845,614,743,037,549,349,349,101,676,463,514,049,
041,804,352,647,510,710,602,683,928,496,011,863,718,064,787,546,551,975,713,
292,721,716,363,632,058,256,441,626,432,027,646,566,153,771,830,952,802,953,
834,779,543,256,841,888,243,340,623,841,469,589,210,946,192,540,380,615,052,
103,803,750,711,832,730,819,092,347,249,935,630,237,929,392,959,850,244,780,
496,470,924,548,571,989,790,132,739,303,568,324,314,799,965,948,277,215,996,
164,543,927,457,587,597,280,257,279,668,978,840,122,883,191,742,517,739,510,
766,212,170,039,383,284,885,375,393,311,048,128,032,346,797,510,067,806,025,
430,743,167,259,922,300,527,883,591,679,877,632,589,869,655,865,125,728,617,
815,307,916,842,319,132,788,284,059,032,331,284,312,468,838,333,656,277,947,
015,783,439,581,554,379,117,885,198,030,010,698,143,096,003,117,680,958,754,
197,000,049,368,161,056,505,381,048,773,084,532,061,922,038,064,676,685,783,
385,688,006,235,126,439,730,732,333,626,459,646,988,701,676,587,063,191,976,
680,198,425,411,942,307,435,143,759,624,445,402,188,886,207,722,918,589,172,
513,416,804,009,756,853,265,667,490,401,936,914,247,856,443,531,541,348,536,
443,598,856,688,110,575,597,980,315,220,217,335,297,978,689,532,190,095,983,
286,389,791,272,889,638,920,214,241,212,857,512,269,069,746,547,487,134,428,
893,242,481,275,262,007,580,839,964,009,261,686,121,802,203,575,548,914,750,
815,435,011,666,031,045,278,477,400,802,862,815,238,727,379,571,634,304,178,
931,934,087,685,528,949,440,337,308,913,547,659,070,002,857,284,856,224,895,
486,577,083,288,784,341,276,107,714,264,915,702,190,242,658,522,435,971,590,
356,265,350,663,191,808,915,006,628,920,401,239,929,086,870,906,701,524,629,
200,815,934,701,439,212,912,649,644,818,844,905,113,889,300,758,751,191,230,
810,281,789,191,254,983,767,209,608,349,137,322,375,579,168,287,692,038,203,
011,975,248,759,139,993,032,523,294,862,136,187,024,910,949,708,165,417,543,
856,377,078,456,375,123,060,279,097,166,259,339,365,992,826,650,625,246,844,
923,878,180,573,406,953,343,824,449,157,304,331,895,041,670,274,565,776,772,
061,221,070,684,562,242,389,611,398,120,530,630,304,435,301,405,188,963,829,
020,616,055,427,762,107,031,646,300,892,949,978,478,379,805,748,383,389,412,
879,404,845,785,132,054,223,453,583,246,867,574,023,486,045,640,639,351,256,
080,102,738,138,849,803,620,155,085,102,857,335,749,460,148,456,474,157,442,
559,048,112,553,687,632,739,199,876,347,086,955,736,334,350,780,618,241,248,
393,085,017,569,486,396,695,735,158,398,005,113,600,939,185,202,384,900,929,
932,876,049,178,756,806,942,670,170,510,201,112,731,778,740,454,232,049,902,
506,605,636,092,622,393,496,326,428,761,176,462,245,852,410,891,452,614,642,
074,918,015,261,101,358,107,153,392,182,241,564,768,006,634,809,494,133,619,
324,584,221,965,603,008,229,972,274,543,666,992,372,798,147,638,588,630,784,
209,781,459,458,117,091,384,662,396,405,915,030,823,938,317,835,295,665,734,
281,585,329,486,092,094,183,297,058,797,916,206,371,660,565,418,062,710,124,
424,843,792,525,001,587,763,179,184,001,916,578,883,055,184,873,065,931,327,
498,588,277,403,539,269,717,567,830,816,922,893,505,613,202,387,076,882,378,
822,894,734,492,359,038,076,934,318,904,917,045,942,211,479,964,869,592,164,
871,936,444,227,493,243,975,162,510,918,525,696,513,888,621,162,337,253,626,
830,959,070,341,197,250,327,422,335,478,552,092,296,189,753,992,849,433,826,
944,932,814,490,378,430,641,641,953,091,250,700,244,635,934,002,438,456,142,
334,137,229,461,640,177,207,695,027,425,315,208,106,372,903,959,725,361,745,
294,733,637,587,000,249,698,238,267,870,479,343,459,536,067,154,499,260,261,
460,409,622,171,652,979,109,863,482,099,929,631,826,979,206,515,729,944,491,
163,548,068,230,053,016,465,626,433,448,690,175,992,249,563,265,360,993,042,
729,144,299,669,239,726,003,411,719,509,602,021,848,787,421,514,288,312,101,
700,171,459,118,638,557,612,186,575,443,274,072,789,050,283,795,776,445,646,
709,877,382,622,800,031,945,343,617,921,851,355,286,173,409,807,039,187,390,
970,718,470,374,068,142,520,320,719,167,762,114,337,431,434,369,839,265,715,
900,399,107,485,203,219,427,747,589,263,918,021,603,652,092,438,435,506,593,
641,459,495,945,726,355,024,264,869,237,369,323,984,066,659,009,285,552,592,
533,264,468,484,485,091,318,390,963,359,592,849,591,695,295,973,234,748,715,
598,969,076,447,056,468,783,058,394,682,205,796,893,275,159,266,754,019,806,
488,657,924,520,467,546,133,682,574,878,562,667,914,863,555,716,634,855,463,
490,108,921,357,273,578,631,934,824,002,741,975,536,079,821,980,134,873,178,
944,301,555,975,271,095,286,790,269,175,669,876,650,366,008,675,546,529,887,
891,348,266,216,646,954,578,819,944,700,098,222,952,056,657,459,544,426,178,
118,406,977,855,960,509,303,220,892,295,249,738,167,856,213,213,138,815,295,
817,360,796,018,314,836,606,147,323,382,133,326,664,549,735,068,006,006,352,
849,647,652,617,077,967,977,806,983,973,991,387,554,605,539,769,886,985,638,
287,743,209,008,428,237,141,224,744,175,159,578,240,412,786,651,525,794,381,
876,644,584,532,568,290,483,230,557,408,806,779,146,572,901,721,526,301,386,
996,010,229,148,238,145,353,905,826,255,859,784,872,039,951,807,824,607,245,
102,396,096,141,909,367,590,078,661,477,984,336,327,047,313,814,040,245,725,
099,757,424,832,395,685,711,392,327,080,623,923,797,858,886,553,494,342,017,
375,567,992,390,755,766,942,435,816,492,834,079,681,461,289,245,740,086,241,
167,827,136,883,514,648,518,307,477,839,610,957,555,673,030,941,817,092,925,
413,247,612,441,428,731,808,341,613,470,418,969,231,921,046,993,945,896,923,
422,741,007,175,288,418,607,644,058,352,678,897,750,206,718,861,840,198,394,
274,991,857,369,904,528,731,680,404,588,908,519,061,849,121,673,576,583,002,
666,098,596,562,087,252,587,627,689,605,437,053,408,235,450,116,846,026,602,
881,130,710,527,834,037,856,413,755,559,582,951,376,465,920,626,951,624,361,
533,875,662,809,983,833,948,377,398,819,295,387,043,728,413,166,840,978,889,
532,136,834,160,504,550,623,308,059,286,003,414,529,302,723,147,936,991,517,
744,572,421,374,063,703,418,708,975,342,331,046,447,760,013,857,520,893,385,
835,834,822,773,807,594,785,255,159,793,584,715,182,494,930,194,754,595,630,
293,271,929,499,404,044,362,914,517,389,549,648,368,649,527,729,120,015,378,
756,716,147,292,618,835,506,252,417,633,829,183,405,724,279,471,123,353,616,
328,284,286,084,869,370,209,055,978,952,529,004,048,124,641,061,084,918,788,
035,036,300,145,079,583,601,281,692,797,262,885,164,313,000,790,458,511,295,
045,179,412,507,845,262,707,967,353,213,898,660,911,899,712,293,138,424,652,
126,638,747,237,392,555,264,919,836,939,757,313,608,708,490,758,051,860,793,
910,538,009,703,592,747,930,356,042,213,361,531,848,851,941,977,144,729,435,
222,657,830,779,343,452,061,718,776,561,077,217,239,312,212,675,291,365,915,
002,660,944,809,977,901,108,769,871,018,857,303,129,524,759,593,590,070,489,
406,206,342,342,717,890,981,226,576,749,528,812,237,642,080,144,726,919,550,
597,772,150,248,081,788,150,079,674,422,710,408,324,351,390,429,309,879,417,
879,666,657,195,519,262,795,226,542,897,111,257,537,328,377,256,531,327,181,
823,666,982,146,414,120,523,687,874,969,182,762,925,712,685,660,876,661,878,
666,297,543,333,818,869,512,785,596,578,780,281,167,823,502,617,630,243,717,
428,343,584,487,109,799,980,208,814,754,687,024,280,577,872,385,609,164,302,
909,043,599,246,299,873,684,781,224,120,281,799,891,559,887,269,211,070,714,
839,890,799,994,763,353,351,794,507,157,591,613,113,070,087,871,771,909,171,
645,293,245,877,006,883,207,400,783,752,391,949,428,870,586,726,026,237,571,
530,602,456,370,330,553,106,049,823,639,964,528,096,252,094,242,740,630,343,
561,446,025,117,489,636,082,454,605,372,999,652,829,382,893,852,950,022,140,
517,110,064,823,055,620,410,963,735,273,602,865,252,579,973,694,526,629,918,
949,512,067,467,121,509,684,862,199,861,816,886,707,853,007,700,556,767,364,
980,275,541,861,394,870,170,818,062,798,475,606,738,683,883,598,303,991,797,
945,565,436,742,890,824,404,953,327,068,996,662,876,515,771,237,921,620,177,
977,489,593,618,135,781,950,736,188,383,799,298,446,946,182,291,409,036,208,
252,848,552,725,152,988,117,748,524,076,649,519,353,857,523,018,586,065,870,
163,564,302,688,546,502,941,175,633,435,534,518,939,643,655,018,632,806,581,
901,022,318,900,029,717,717,753,165,738,848,084,944,248,636,697,576,848,766,
498,094,272,146,490,674,354,334,583,971,155,957,752,702,041,079,851,869,823,
767,009,442,863,147,857,116,835,932,150,153,633,568,235,345,359,427,651,823,
060,279,115,199,047,208,207,324,879,431,286,183,949,546,600,171,895,966,157,
949,336,104,967,727,772,648,277,236,102,981,457,379,001,090,433,891,299,356,
783,690,817,745,235,557,178,266,722,692,209,288,566,174,097,284,241,638,724,
134,211,851,559,924,025,910,253,172,998,390,984,073,954,355,254,642,211,600,
750,943,111,782,464,032,321,317,906,133,734,216,185,670,425,482,587,467,882,
844,185,728,767,829,572,522,141,208,011,592,942,065,138,728,380,338,568,793,
499,371,880,740,060,864,625,034,026,951,920,949,374,142,846,869,866,967,282,
771,700,509,318,202,539,100,834,800,376,994,381,234,382,304,100,421,439,815,
395,346,278,049,157,753,370,320,976,263,956,424,237,691,876,307,204,016,657,
573,379,689,690,605,772,417,847,502,023,741,218,488,239,921,142,791,945,221,
368,008,632,574,297,809,056,576,713,618,457,290,174,591,150,404,511,096,949,
243,686,651,236,802,383,070,110,665,119,668,255,256,950,980,929,185,505,056,
434,898,637,524,250,204,824,248,450,678,271,565,448,564,881,196,774,637,226,
537,447,962,746,665,554,364,056,667,429,771,944,397,003,289,097,155,557,242,
178,898,487,048,479,157,804,489,373,459,949,901,640,916,695,462,609,747,896,
599,938,911,887,812,049,875,295,536,312,392,588,261,928,858,878,303,823,659,
486,938,287,957,844,931,637,644,069,627,473,128,284,930,398,017,366,157,594,
596,416,968,026,204,325,024,475,082,060,136,663,519,276,054,406,866,008,329,
581,825,877,681,403,613,050,500,262,438,846,389,577,515,818,477,090,432,739,
969,722,472,530,831,868,620,427,563,635,207,011,602,802,579,736,831,970,668,
501,317,636,172,754,864,265,575,918,745,499,278,294,606,190,370,329,163,142,
179,151,057,919,916,772,303,719,333,817,490,806,862,130,913,937,465,568,054,
984,448,754,018,943,117,524,594,733,982,110,898,907,712,358,239,518,829,928,
636,325,670,168,379,458,114,956,990,507,597,514,764,082,709,956,975,503,421,
249,385,832,592,857,853,669,819,232,279,453,070,166,387,373,996,107,787,557,
862,233,587,067,963,416,932,879,361,614,649,697,526,249,902,877,837,182,469,
566,409,998,169,827,698,296,892,456,800,326,516,715,654,975,583,006,540,200,
955,895,197,323,159,382,675,306,158,052,896,452,460,892,466,264,673,850,807,
547,191,483,818,133,603,083,298,200,100,827,292,571,026,147,760,777,926,298,
726,197,953,057,856,694,981,421,225,621,776,435,378,777,668,964,255,123,752,
184,371,345,256,100,890,523,598,174,544,945,491,830,002,679,723,801,205,004,
749,271,046,704,098,311,088,144,616,498,125,466,372,225,151,422,836,141,302,
608,448,444,375,157,146,334,138,052,472,489,221,553,641,819,294,593,960,075,
319,518,471,595,704,410,327,104,552,471,568,538,655,004,590,785,479,140,321,
552,831,792,509,375,270,468,320,018,517,818,802,861,652,610,534,788,300,382,
878,723,710,369,535,596,779,946,995,926,645,593,312,227,789,229,882,197,873,
546,654,589,559,770,780,602,298,800,025,673,030,110,199,852,982,545,161,917,
851,679,393,004,505,496,210,202,143,980,486,127,221,597,677,185,434,380,488,
440,811,405,663,694,280,521,299,597,938,351,976,683,189,149,291,605,028,179,
027,233,380,110,702,167,703,149,394,997,454,115,570,726,423,671,095,630,449,
288,446,687,304,495,098,334,755,928,493,161,075,405,058,887,984,335,167,497,
074,305,293,925,082,140,639,435,904,881,229,718,517,788,260,070,108,018,516,
330,913,825,332,002,357,110,574,846,260,734,025,068,689,472,805,489,259,146,
558,869,592,646,436,152,263,217,409,857,221,302,291,463,134,423,888,203,225,
310,571,111,823,118,123,930,015,226,800,403,287,145,239,064,776,106,784,178,
636,879,654,720,948,649,968,123,293,383,011,855,141,945,243,733,095,143,948,
934,603,557,344,373,193,374,916,174,519,950,323,473,152,187,783,188,834,990,
673,040,384,812,682,404,619,264,236,058,524,397,409,320,646,990,872,755,825,
157,254,542,496,438,692,519,781,515,036,531,372,232,937,606,042,988,558,695,
503,031,080,370,060,109,608,527,904,634,926,610,618,873,384,325,764,455,654,
744,223,859,135,265,142,640,938,030,039,805,603,581,614,813,506,536,549,856,
906,002,824,844,441,779,146,591,732,784,253,511,488,428,881,912,541,033,343,
230,882,844,599,146,251,176,604,436,865,182,853,804,722,371,587,241,568,822,
883,852,017,691,445,147,035,462,929,304,918,751,966,178,000,102,317,600,101,
564,514,159,237,629,410,082,080,174,506,477,535,226,401,275,758,769,073,168,
946,411,712,718,282,967,142,205,157,617,897,569,933,720,982,971,032,304,297,
653,878,406,261,046,403,265,746,136,045,405,970,126,479,343,347,171,185,510,
791,134,633,926,060,844,618,542,494,655,724,350,405,667,141,556,717,624,085,
820,174,373,596,154,545,491,848,173,522,761,551,799,834,537,759,558,832,352,
229,186,524,767,322,154,862,037,567,498,260,711,275,247,638,139,592,928,316,
416,907,708,855,948,474,461,617,462,287,297,514,855,806,630,467,168,561,359,
562,422,981,348,787,547,895,086,146,532,518,726,702,883,942,242,136,309,537,
787,969,116,974,779,271,280,728,158,370,863,732,090,916,238,416,919,996,560,
728,840,227,418,945,841,278,718,426,675,806,678,157,315,303,404,315,348,162,
753,103,980,258,115,143,628,468,563,358,845,791,271,212,323,225,825,959,830,
555,903,822,408,972,245,225,154,249,218,886,599,677,140,974,105,110,390,178,
183,009,484,452,808,777,768,033,747,197,742,129,589,461,597,833,447,606,858,
676,911,691,236,751,302,771,477,964,224,851,027,313,283,667,097,548,075,161,
499,223,838,634,041,718,843,396,820,542,704,745,289,920,019,565,007,483,960,
869,174,010,660,405,786,773,188,797,644,801,755,391,919,001,277,298,569,000,
030,587,937,999,800,501,056,774,037,473,150,720,617,079,809,948,917,568,919,
960,306,561,454,962,345,948,055,798,976,531,526,157,000,475,555,194,972,386,
541,905,787,692,674,795,997,790,812,295,331,438,433,261,547,010,198,687,336,
682,273,095,867,577,812,984,023,202,610,136,180,054,041,899,702,893,447,081,
250,878,031,083,993,967,015,986,498,968,751,640,138,888,954,063,807,789,843,
254,953,147,887,906,424,287,943,641,516,076,165,234,992,884,802,582,091,570,
715,443,647,910,380,735,792,589,862,457,261,334,759,674,790,763,543,783,573,
707,134,745,199,062,702,844,687,155,007,616,699,265,980,051,496,885,975,751,
451,839,395,788,643,018,021,182,884,332,786,469,955,661,211,583,890,122,437,
041,328,244,568,890,156,179,669,043,917,679,931,170,956,831,390,354,285,522,
616,262,183,533,442,164,456,993,107,648,683,381,162,011,268,749,416,477,834,
717,776,338,664,804,084,921,975,971,248,181,071,299,601,401,790,437,602,348,
053,175,626,432,105,896,248,206,020,849,625,577,839,301,596,995,195,181,662,
352,872,446,873,561,460,947,305,757,750,741,537,021,628,509,831,556,012,418,
677,222,544,381,914,637,972,400,654,388,744,929,240,188,222,549,226,473,431,
095,032,599,794,204,166,190,228,169,404,221,437,251,355,973,300,643,503,592,
882,142,016,704,817,658,736,518,229,876,141,101,827,223,072,710,993,542,888,
033,051,441,436,673,531,973,786,845,439,503,426,742,907,500,231,669,419,118,
615,103,117,090,390,998,304,292,262,907,503,684,347,819,304,154,679,077,185,
837,447,242,639,170,983,000,358,603,536,733,951,762,339,847,524,153,240,912,
346,691,676,307,434,457,197,147,587,350,816,918,900,708,143,513,855,242,266,
214,534,987,134,457,321,292,278,405,477,591,434,305,632,314,011,973,045,441,
993,686,234,166,463,692,553,718,239,193,384,448,320,549,746,334,384,479,610,
731,951,027,889,571,410,637,750,188,921,835,142,091,181,474,202,376,459,704,
962,936,187,716,439,875,938,468,330,903,420,590,616,614,546,137,766,957,108,
981,636,755,069,931,916,303,483,970,814,765,157,614,539,200,863,661,236,377,
947,135,405,874,371,179,826,178,562,719,800,823,160,778,130,216,816,211,006,
429,142,584,581,054,718,730,123,661,146,812,073,449,951,818,655,922,748,504,
423,237,909,117,057,087,782,621,966,393,501,405,705,167,527,372,315,014,662,
496,351,396,501,922,304,091,071,525,394,268,161,886,421,409,487,578,603,337,
040,248,123,308,155,166,720,771,627,043,829,490,936,543,972,111,906,419,228,
198,979,754,308,334,912,094,319,670,722,813,524,126,731,362,790,301,538,034,
334,244,959,511,095,413,478,817,901,889,102,324,664,553,791,043,457,623,530,
811,243,893,414,177,976,311,816,835,691,645,547,664,286,363,114,857,766,654,
450,919,558,361,242,366,717,501,262,695,333,987,057,377,509,484,912,527,906,
412,003,895,057,411,744,322,495,391,202,246,888,508,425,518,093,017,104,285,
337,915,459,670,864,618,430,407,394,958,715,490,597,611,182,136,330,074,871,
931,836,884,000,920,965,391,070,763,993,685,072,643,828,301,882,675,419,472,
096,545,490,107,265,987,413,391,586,761,358,252,582,363,539,395,894,688,998,
141,241,493,386,402,577,943,173,498,901,936,731,538,490,669,356,950,228,610,
791,731,640,092,634,710,105,863,919,555,391,571,160,883,726,684,416,055,404,
571,114,807,951,821,839,466,363,921,625,740,314,869,347,144,215,808,599,465,
981,482,181,828,214,502,690,667,466,009,698,857,465,554,511,932,350,626,797,
943,637,737,029,773,404,312,775,202,756,225,250,603,358,722,387,744,561,131,
541,495,108,012,388,334,696,547,989,748,718,985,553,342,811,187,044,065,109,
075,604,468,918,104,813,318,895,821,653,325,959,036,300,754,625,109,469,237,
638,267,321,363,563,231,408,305,934,382,836,326,325,646,178,566,096,528,029,
347,948,571,590,768,369,173,053,041,752,084,459,358,166,100,418,671,284,608,
711,390,825,918,370,593,843,510,521,428,977,908,675,503,290,729,372,841,177,
897,915,114,085,253,672,951,927,062,181,131,102,078,976,842,766,130,856,302,
000,831,688,894,601,391,671,278,212,198,943,168,070,958,202,385,429,167,230,
402,756,175,415,336,714,440,501,096,567,394,284,190,206,980,006,233,554,976,
928,806,976,933,990,375,297,153,240,098,571,586,746,620,519,335,673,045,002,
149,955,250,888,371,317,187,773,678,035,344,458,930,651,335,827,530,567,285,
389,419,642,586,844,329,232,571,130,863,121,161,485,277,439,698,698,904,276,
489,996,597,006,179,061,758,953,982,981,261,347,392,566,589,389,872,773,819,
519,845,719,463,387,008,079,612,080,921,109,863,837,657,469,319,871,569,156,
983,400,469,707,681,250,735,039,707,672,557,404,156,718,341,071,346,731,391,
900,103,090,179,629,042,159,320,825,817,383,878,697,931,503,290,989,620,490,
969,895,036,743,096,033,499,371,557,124,742,484,792,444,749,946,654,197,023,
135,768,813,975,354,501,035,634,077,351,430,986,745,865,836,126,036,707,597,
570,448,728,708,581,339,004,333,591,743,258,413,262,789,995,461,547,137,289,
980,515,122,001,263,305,392,995,529,918,909,688,840,390,716,757,964,549,317,
542,031,591,088,292,235,921,941,428,942,494,606,223,717,243,828,862,734,538,
788,907,767,376,242,076,900,976,667,969,131,609,750,578,215,249,097,793,416,
237,641,251,141,718,873,204,245,912,528,487,709,373,371,537,265,624,681,927,
090,785,678,199,132,815,680,601,134,644,418,882,683,900,751,791,974,415,192,
288,716,201,979,041,225,847,001,811,279,955,353,909,673,501,704,105,783,721,
317,355,841,313,090,052,350,787,839,154,853,263,698,385,893,545,142,158,673,
699,407,402,331,233,257,892,046,792,011,769,723,863,500,145,154,690,771,669,
984,112,506,618,598,042,303,090,110,911,537,400,965,545,383,048,795,249,770,
027,571,455,987,502,482,888,680,011,625,228,294,878,964,167,712,809,749,874,
057,441,478,887,533,849,316,092,461,860,229,383,171,759,135,558,113,040,990,
504,864,513,740,183,438,956,072,822,021,367,844,500,687,004,557,154,197,735,
358,905,056,008,752,724,669,395,457,404,669,912,003,513,887,561,398,785,785,
376,715,650,692,619,340,543,754,934,679,604,152,666,935,456,835,043,061,799,
725,649,519,396,947,899,759,680,962,228,541,253,620,545,419,883,418,718,101,
679,987,461,364,397,991,843,155,537,390,234,334,551,755,002,686,843,649,630,
657,659,740,648,463,097,260,858,300,362,617,675,528,510,301,069,852,588,789,
485,324,689,419,183,031,902,650,386,368,300,910,181,693,668,750,846,708,367,
717,164,369,236,956,316,822,573,093,061,986,653,903,606,043,193,814,784,039,
075,839,873,996,517,236,421,227,569,422,574,017,973,718,398,330,301,473,367,
763,807,521,755,704,328,441,864,389,735,154,738,527,753,405,605,238,414,428,
259,116,305,652,118,905,696,715,454,611,325,440,728,178,825,844,821,324,243,
314,594,949,227,722,176,409,680,615,289,843,960,143,125,588,814,189,049,808,
976,811,251,763,238,529,372,221,653,786,743,339,048,152,411,878,767,290,004,
862,403,983,247,527,392,315,091,969,037,766,767,991,557,661,720,523,104,802,
055,200,125,838,773,148,554,263,536,357,724,656,684,487,019,729,376,826,358,
296,121,359,248,986,969,280,568,614,311,972,483,328,143,200,715,607,722,172,
145,421,858,342,110,652,285,561,458,854,529,216,891,776,473,802,097,058,683,
795,652,452,559,297,625,049,279,021,139,571,045,316,589,866,638,960,922,721,
984,445,271,996,947,375,440,216,813,478,057,584,435,096,188,123,458,344,994,
746,429,866,469,914,217,133,695,444,667,790,154,512,024,802,604,272,922,846,
784,897,524,019,997,593,618,420,546,760,001,353,771,991,228,105,550,673,348,
761,640,024,984,555,342,589,249,656,664,407,399,970,705,893,895,074,649,063,
338,145,704,765,248,768,765,143,813,017,328,680,236,454,770,357,759,593,237,
945,201,646,626,788,183,264,092,385,774,336,480,234,974,357,168,229,017,687,
580,426,171,165,321,788,652,347,916,738,312,767,881,416,015,063,862,110,736,
707,858,713,275,836,591,303,423,008,015,451,600,534,567,323,448,379,714,201,
625,129,896,441,890,807,604,188,056,743,932,935,754,697,066,602,932,258,537,
648,914,000,057,298,467,878,894,590,549,387,889,326,037,923,783,897,652,692,
661,697,267,171,844,411,052,559,832,434,886,122,303,617,790,708,491,916,845,
739,443,142,836,920,374,180,801,565,224,735,941,558,852,037,295,417,370,559,
530,527,595,712,702,383,833,364,157,928,816,612,480,710,647,961,185,580,824,
245,429,235,386,569,860,183,259,934,911,853,524,560,111,651,698,038,188,267,
128,538,527,344,163,143,366,229,429,914,706,372,778,575,048,491,607,787,696,
958,007,446,393,772,468,385,654,020,784,883,565,932,512,860,444,473,365,355,
899,981,994,344,981,945,705,529,987,078,029,934,609,427,447,105,772,289,746,
976,630,713,020,881,547,128,164,989,905,860,530,283,939,458,123,651,101,443,
195,743,514,416,424,665,795,750,363,688,435,887,634,651,202,537,712,689,795,
361,367,619,798,040,740,779,294,611,076,339,471,056,671,411,950,922,748,432,
453,456,468,244,601,174,710,722,198,410,539,507,879,418,922,918,378,694,046,
191,835,575,128,702,321,601,324,302,101,700,833,655,502,908,971,261,809,180,
282,120,389,357,058,678,822,946,795,369,729,479,122,682,768,153,304,275,383,
843,006,666,839,641,394,677,273,801,220,610,809,899,928,123,912,825,160,876,
604,306,385,134,791,563,537,887,072,009,498,446,353,407,222,398,934,752,440,
837,419,917,059,325,303,036,961,021,723,768,026,411,533,851,119,454,980,317,
407,035,126,132,173,606,663,391,691,298,774,263,273,113,041,165,221,349,069,
316,140,853,128,193,200,977,252,697,384,195,078,916,744,858,902,224,614,520,
682,377,223,944,646,690,670,928,793,227,656,302,034,223,127,675,369,533,576,
191,122,693,645,689,883,646,504,877,822,040,252,427,493,236,609,988,235,255,
350,690,470,616,630,943,456,166,386,343,662,656,295,078,067,959,675,567,814,
489,631,336,724,653,559,989,677,686,159,483,762,982,936,256,888,445,997,638,
662,754,129,066,499,782,717,543,971,826,636,805,963,601,505,296,977,964,465,
233,545,162,629,847,557,741,885,334,756,262,920,791,396,767,308,988,087,819,
043,846,006,674,178,001,351,288,810,162,384,137,795,410,614,827,256,793,995,
890,522,971,557,830,262,535,632,990,576,934,311,610,670,213,491,154,801,284,
989,616,799,627,137,023,601,308,374,277,433,516,132,968,104,070,795,944,123,
342,016,739,149,000,053,931,506,322,153,473,240,273,593,100,335,903,099,855,
893,654,871,631,944,795,365,975,980,896,491,742,850,768,155,379,023,284,505,
928,109,657,185,578,763,373,148,090,333,887,176,810,103,822,072,209,229,827,
872,744,787,690,587,552,764,809,636,435,372,251,110,383,704,156,234,292,803,
941,097,277,918,077,240,806,745,185,867,210,870,826,019,491,675,704,047,083,
448,342,581,873,164,416,376,490,947,081,251,417,237,649,783,476,616,861,507,
838,998,784,038,856,816,112,125,707,906,499,209,616,755,731,195,091,625,219,
347,938,999,051,623,022,596,126,879,768,887,211,658,744,826,984,428,753,497,
896,772,934,225,614,096,692,764,820,821,934,522,841,481,736,970,229,132,716,
010,967,111,376,275,861,469,180,948,002,713,494,179,025,914,483,971,518,405,
251,227,061,801,729,422,256,544,997,410,396,520,937,091,385,958,124,272,686,
166,826,304,549,709,188,805,354,841,884,510,822,154,304,729,610,417,403,715,
252,234,434,566,869,755,891,611,245,233,717,236,084,062,181,470,515,129,066,
524,772,591,372,851,995,867,564,961,937,752,405,263,735,994,135,760,607,670,
278,057,890,323,776,962,682,407,222,163,888,611,442,281,577,044,783,576,070,
901,387,414,289,098,977,782,214,440,813,897,809,712,820,024,852,901,271,080,
331,586,035,136,886,880,075,376,068,340,335,643,168,231,816,890,588,605,862,
212,951,645,653,215,499,170,326,744,129,614,222,887,692,662,270,340,113,484,
927,575,515,806,174,955,436,119,369,163,913,982,263,866,438,868,405,263,537,
235,477,567,568,758,385,244,336,102,187,742,677,656,009,231,118,984,271,120,
961,566,979,086,268,773,833,567,163,608,739,412,363,012,657,280,153,298,100,
420,635,594,450,048,875,299,318,189,120,067,544,277,632,616,215,637,682,104,
238,139,969,325,102,402,220,402,078,317,234,782,605,001,845,726,228,566,912,
139,346,518,038,712,130,523,426,851,621,072,706,643,824,687,431,836,938,291,
660,161,370,841,539,329,569,225,367,508,583,670,863,707,281,367,611,206,232,
270,737,505,728,880,838,965,180,998,919,872,388,464,330,731,310,604,624,384,
351,460,376,755,334,995,946,684,418,876,320,704,652,961,624,483,438,120,076,
795,142,494,334,266,352,803,433,762,117,866,825,357,770,200,054,743,648,154,
410,328,562,394,356,198,210,769,379,433,414,899,574,724,512,144,448,454,897,
625,761,140,957,869,025,272,279,732,148,920,101,390,667,782,436,580,975,388,
276,326,125,552,805,789,533,155,962,694,429,404,542,372,551,382,947,881,060,
657,089,303,781,173,282,244,549,495,406,226,745,910,738,141,823,665,145,176,
214,720,403,284,497,993,855,195,552,034,676,516,208,964,804,961,622,667,441,
815,065,298,588,468,319,270,908,840,045,657,401,610,577,136,593,969,229,133,
615,428,574,614,072,879,111,554,627,892,822,582,872,217,035,820,696,342,308,
309,150,390,103,903,963,482,867,143,219,094,484,195,513,022,447,515,400,036,
985,505,401,073,639,788,320,826,973,693,893,553,433,042,054,948,684,772,145,
204,636,683,319,151,952,913,558,543,735,480,058,118,489,247,863,626,073,427,
361,499,096,937,391,283,900,634,828,729,580,717,483,572,764,795,247,745,485,
501,373,310,175,445,504,537,776,235,526,676,195,565,708,343,220,030,852,975,
273,940,195,773,450,550,503,616,646,892,022,359,958,639,372,188,645,019,141,
671,252,270,287,484,062,186,303,132,356,921,054,071,550,149,432,198,070,283,
808,192,964,405,877,399,383,232,848,214,025,193,039,219,366,614,496,003,294,
787,347,658,481,990,612,487,606,322,865,970,173,747,357,785,034,621,836,987,
574,070,804,160,806,223,966,540,451,649,067,000,152,908,682,521,461,376,593,
160,416,863,269,224,908,057,609,425,247,357,211,395,600,661,135,876,455,088,
206,853,442,739,284,571,649,263,489,197,048,687,599,750,988,398,602,228,439,
934,872,105,118,996,779,016,596,947,398,983,829,097,564,004,249,926,182,218,
469,423,248,372,178,959,230,341,527,337,917,600,688,195,444,843,172,905,542,
160,788,200,577,908,432,275,235,179,820,150,859,121,727,664,846,467,876,197,
778,151,856,513,428,493,123,244,389,945,574,095,643,993,029,878,538,088,289,
776,674,069,569,402,242,543,088,339,669,030,634,485,720,151,757,416,439,172,
254,874,354,561,541,987,722,140,656,671,025,966,756,787,116,404,458,647,440,
147,553,662,715,832,862,588,266,574,740,914,235,820,449,072,133,467,822,579,
639,843,785,632,447,738,633,991,189,791,780,837,246,222,943,014,491,448,241,
664,122,162,375,659,774,224,003,432,480,945,372,501,988,873,910,351,072,968,
975,764,684,600,982,004,031,233,838,203,648,480,350,537,641,820,686,716,094,
451,047,858,214,906,639,178,051,026,648,026,120,485,315,926,570,133,295,815,
804,702,456,108,235,816,977,479,769,421,970,157,109,905,788,655,718,926,608,
304,140,795,799,459,711,303,592,602,514,173,953,816,059,404,098,759,312,791,
948,205,511,672,696,453,077,364,819,935,399,537,945,708,493,466,779,932,180,
891,435,533,610,257,110,692,727,571,211,090,719,920,943,942,290,446,499,060,
200,997,870,381,031,725,723,558,035,536,067,292,790,253,611,323,727,446,516,
376,324,212,910,334,490,848,545,983,110,682,084,382,997,395,583,895,843,222,
767,694,260,089,601,580,607,190,522,082,551,337,785,951,239,142,625,923,987,
645,895,856,465,359,039,620,905,149,639,815,411,925,850,947,853,095,049,983,
499,713,311,429,592,327,325,525,466,219,838,415,809,237,375,987,218,326,380,
977,371,187,042,488,230,717,769,366,694,163,469,201,200,007,575,115,314,556,
175,434,741,919,233,096,961,039,203,489,239,823,320,311,976,825,581,576,347,
927,868,288,246,277,900,968,933,859,757,323,335,602,583,765,407,881,531,392,
287,386,037,507,518,705,217,998,864,126,433,557,422,839,674,856,868,064,794,
619,359,044,788,525,532,466,996,907,173,883,284,939,421,222,053,176,302,174,
331,606,910,646,288,321,262,599,254,542,397,060,438,865,011,698,777,901,696,
483,153,368,225,451,410,381,462,894,253,113,129,392,404,231,091,472,229,309,
869,894,440,972,653,121,208,880,060,553,469,677,350,589,158,459,050,944,414,
158,703,017,296,336,113,262,271,025,443,249,730,345,169,431,414,334,550,339,
975,403,301,123,954,932,568,742,264,061,696,189,913,179,820,260,183,697,014,
791,837,987,030,164,003,014,397,391,363,352,976,723,862,586,537,718,034,280,
579,155,568,664,898,526,463,644,232,491,972,534,647,903,204,106,623,729,917,
072,490,664,714,514,771,971,948,441,906,335,956,442,030,060,025,940,774,697,
980,751,633,861,418,374,413,395,249,446,654,489,620,685,858,786,792,080,278,
823,532,326,790,849,456,622,663,943,860,581,763,754,428,674,154,169,566,151,
165,658,195,102,119,530,630,504,170,494,761,135,803,759,051,005,161,077,951,
904,857,988,664,043,903,913,801,660,169,251,590,373,644,186,570,428,976,067,
920,996,309,791,531,619,051,078,177,152,095,316,542,302,382,339,360,597,036,
359,548,002,646,867,211,788,128,551,277,492,090,724,184,389,961,613,812,867,
107,358,140,851,383,682,549,489,649,108,693,962,746,079,565,437,854,737,378,
411,431,912,646,002,847,928,870,220,896,475,348,868,735,454,451,899,454,343,
283,491,995,409,005,330,018,984,230,008,817,434,710,224,015,906,733,198,653,
321,490,334,296,277,361,353,887,291,738,192,662,364,119,155,756,743,939,693,
419,829,026,378,820,797,025,140,871,953,040,331,922,577,034,910,297,673,865,
379,443,261,305,933,662,315,682,055,504,347,345,496,682,797,386,212,830,002,
201,641,647,636,909,743,659,354,436,729,644,187,906,589,356,488,387,699,083,
293,784,778,611,768,793,871,633,839,510,140,609,181,122,162,854,150,797,559,
289,159,337,747,619,889,210,444,719,230,236,648,335,078,491,920,376,967,705,
787,566,421,791,190,375,959,816,149,890,978,444,852,075,363,238,952,107,475,
340,604,079,236,355,243,512,617,395,936,140,683,991,980,658,000,617,251,754,
342,971,406,598,100,709,400,522,831,457,675,767,773,239,213,915,547,283,079,
577,933,079,579,289,359,566,040,374,358,061,229,719,256,797,541,435,824,676,
755,287,089,693,960,620,707,582,317,434,814,648,931,680,833,456,562,030,061,
770,090,752,174,478,448,960,677,383,925,989,955,812,443,468,099,525,286,351,
756,896,892,968,050,676,663,926,436,675,378,433,173,720,460,796,367,868,174,
534,828,992,349,482,480,526,991,913,277,718,828,168,516,243,826,367,048,032,
113,693,366,345,907,669,081,147,302,738,190,717,099,859,685,670,887,026,656,
050,419,443,732,672,918,536,791,641,597,475,738,756,246,952,732,127,582,973,
840,586,441,230,301,973,689,238,942,045,065,069,345,284,013,385,038,236,751,
372,143,597,743,634,337,756,889,739,033,889,004,329,455,632,162,344,738,417,
545,028,551,759,141,763,290,509,758,250,850,051,947,503,735,400,796,902,160,
875,332,759,587,294,665,712,506,662,841,650,286,603,978,890,833,560,490,814,
566,959,979,362,247,594,021,207,898,679,403,107,924,223,742,107,523,752,089,
483,542,415,916,958,425,948,327,973,230,622,304,249,005,733,355,723,512,511,
931,811,684,816,542,169,504,073,399,382,600,811,654,727,675,267,515,572,095,
810,179,707,334,701,673,499,755,718,019,860,591,181,248,666,951,773,049,764,
758,418,384,027,963,501,693,804,446,558,723,114,590,425,209,031,176,033,706,
897,960,535,659,855,611,951,298,038,044,475,681,022,452,502,787,080,247,870,
838,865,907,567,889,230,168,811,525,018,684,132,376,776,959,549,809,975,356,
036,850,652,878,825,056,257,913,995,756,998,448,279,068,355,306,989,591,540,
882,692,736,620,310,077,727,740,401,151,639,413,305,355,420,232,637,707,891,
081,816,802,729,567,024,145,870,953,194,744,675,162,337,966,713,150,059,942,
797,110,364,984,971,902,465,133,315,226,837,233,793,795,434,443,858,242,282,
489,836,378,126,237,204,976,360,712,813,100,196,515,640,182,282,761,131,585,
902,737,613,451,387,457,036,183,336,310,030,909,082,904,976,786,842,757,668,
419,739,480,670,118,937,400,129,450,785,295,423,058,341,865,619,672,551,643,
317,184,891,974,091,495,803,888,189,726,680,263,057,126,158,364,255,348,373,
255,597,865,569,104,017,327,433,964,635,955,724,586,178,494,012,544,360,374,
510,652,587,660,273,182,364,230,069,294,877,808,263,672,789,191,150,304,597,
336,979,728,666,620,682,697,361,317,486,088,357,920,871,202,890,576,869,751,
780,683,146,964,812,242,866,490,181,368,964,722,255,952,710,356,017,567,176,
020,272,500,489,795,015,890,812,638,563,089,573,141,348,516,717,016,259,658,
775,235,728,498,073,590,618,614,565,477,507,451,303,962,522,906,913,351,049,
913,040,243,628,380,395,073,253,773,528,293,711,824,987,173,851,356,226,434,
609,458,176,084,759,381,386,678,749,975,079,430,728,865,864,155,054,233,935,
115,624,530,755,720,285,654,432,750,946,170,687,886,498,917,241,301,708,415,
250,919,474,718,066,617,139,940,196,765,890,122,875,735,421,299,513,451,391,
249,612,837,373,942,067,088,447,062,107,426,197,990,380,339,237,274,829,128,
573,602,030,702,567,352,858,808,327,073,462,985,114,247,618,172,167,649,156,
143,223,393,696,043,481,033,161,189,527,892,579,585,372,786,094,964,766,643,
287,010,341,596,431,746,407,978,197,912,120,603,354,188,246,929,103,135,212,
954,488,577,315,225,177,465,983,551,860,604,114,233,974,840,205,266,779,646,
948,779,063,399,305,830,773,367,894,837,556,932,135,737,133,602,548,164,940,
581,115,699,599,093,070,995,951,627,068,573,115,162,380,698,634,090,261,892,
538,061,558,923,394,675,145,558,090,930,869,011,030,041,045,843,924,784,356,
808,251,483,546,653,800,733,057,576,914,763,355,348,361,088,634,377,515,313,
397,190,626,189,591,095,648,966,998,450,135,409,011,557,996,979,178,455,218,
464,235,799,524,403,950,269,354,250,212,836,235,758,966,221,807,725,512,454,
576,669,161,814,862,400,116,370,287,723,813,784,888,586,565,556,438,771,461,
984,591,067,235,570,341,538,728,117,095,473,017,072,760,084,907,911,149,571,
926,337,030,581,253,644,153,111,052,167,053,017,790,836,257,688,765,365,101,
421,754,748,344,904,649,967,353,812,754,659,858,202,174,358,202,985,149,174,
136,683,269,919,727,869,483,177,914,475,797,462,355,965,192,309,875,937,396,
670,812,197,660,150,935,549,116,920,295,184,594,761,220,473,731,996,826,930,
358,128,810,180,475,905,920,312,491,843,009,439,137,710,891,092,238,484,615,
515,554,998,272,675,576,218,199,013,610,940,356,913,080,318,425,254,107,259,
508,785,103,330,349,303,676,312,753,511,125,707,882,101,506,845,886,347,659,
959,679,979,298,989,460,450,722,338,938,448,488,720,501,274,493,093,879,108,
736,685,069,088,451,640,836,395,363,452,526,343,647,284,941,913,286,002,869,
503,732,840,948,227,156,708,965,592,884,587,119,969,408,876,102,557,706,504,
551,336,245,755,861,333,322,621,008,429,838,489,113,013,768,382,695,780,147,
470,824,367,444,593,805,385,838,972,578,761,518,382,022,548,689,489,328,215,
000,789,445,344,847,298,421,508,432,541,732,303,219,081,308,313,822,925,060,
929,004,665,414,549,259,882,508,731,778,986,796,024,456,608,572,500,774,641,
746,043,138,957,154,234,939,844,985,715,485,823,056,160,998,132,842,301,908,
114,952,769,125,338,201,802,968,182,621,429,521,713,653,666,541,508,399,428,
078,852,326,776,733,799,972,627,583,107,992,729,539,115,618,659,873,823,961,
748,061,343,970,456,413,016,185,039,730,835,433,840,853,017,259,648,718,163,
189,810,757,231,598,087,310,653,687,762,942,587,950,800,934,779,266,577,369,
837,143,308,740,807,742,930,941,009,091,692,395,628,796,886,630,729,311,305,
147,713,858,339,730,295,715,868,183,570,381,272,105,388,775,714,347,295,773,
705,099,375,857,638,200,105,119,264,172,945,605,438,790,410,526,121,396,315,
113,469,836,228,845,054,232,975,198,466,790,259,066,805,370,795,628,961,798,
608,320,152,664,308,547,269,720,546,672,193,662,737,734,332,728,772,288,262,
618,749,521,856,056,778,041,238,278,980,843,517,981,716,390,153,188,398,689,
239,360,536,835,590,525,820,318,639,171,374,259,198,597,354,922,300,689,918,
997,297,162,813,980,185,657,178,682,565,187,006,358,910,044,022,707,735,761,
927,802,169,520,188,558,212,895,732,318,132,633,880,498,421,892,235,028,466,
393,819,139,577,019,507,631,208,559,298,867,056,148,862,469,775,230,149,771,
178,098,578,059,127,469,071,603,901,763,214,094,935,668,997,204,195,679,024,
792,992,294,232,690,638,842,166,397,664,995,040,763,854,819,608,142,475,583,
193,667,171,706,565,825,381,720,091,710,757,716,148,394,473,120,602,776,658,
553,883,259,132,860,587,960,464,596,091,812,267,807,817,245,700,752,791,341,
192,661,967,668,323,245,089,720,671,249,875,249,393,456,374,327,867,139,704,
547,341,284,793,609,402,831,976,443,000,399,468,603,650,353,868,899,146,724,
370,645,690,329,710,339,498,736,960,379,505,864,937,072,796,952,239,894,341,
829,381,838,339,793,798,624,863,660,467,347,275,237,496,535,159,791,268,356,
750,071,310,700,136,100,856,030,759,940,354,086,053,586,528,332,699,886,316,
757,830,873,701,305,765,307,767,203,876,751,198,662,663,495,935,129,817,973,
610,590,415,948,300,965,947,845,095,022,961,960,467,598,073,330,087,258,605,
449,893,584,330,898,156,665,778,116,476,809,970,133,560,385,763,108,540,791,
576,862,676,388,883,264,066,256,336,391,752,576,125,997,593,776,409,593,548,
605,741,068,134,715,175,892,546,383,644,989,865,277,559,693,476,898,191,570,
405,988,787,157,102,088,322,571,384,556,880,933,378,344,211,113,589,401,771,
970,367,885,016,651,457,892,413,087,110,694,751,056,856,060,115,767,731,811,
748,215,812,276,041,671,041,600,347,320,245,887,896,482,401,827,388,874,527,
188,910,816,675,074,149,568,546,307,593,280,240,940,375,459,473,151,762,380,
286,350,666,040,226,150,937,202,476,428,311,896,289,165,345,203,005,861,395,
872,070,644,176,164,587,617,648,753,794,426,818,907,245,797,754,893,118,100,
696,715,515,365,217,687,665,751,556,573,321,604,282,602,319,644,621,229,206,
833,241,867,391,045,952,197,259,103,050,098,219,316,684,230,146,049,133,398,
038,803,251,409,800,210,839,319,276,550,158,402,617,529,705,292,178,539,863,
292,650,602,413,472,562,953,226,415,015,689,905,208,658,381,626,742,804,798,
884,113,951,037,346,890,170,684,662,652,372,863,016,418,720,644,551,356,782,
265,442,106,459,496,477,371,866,546,635,524,176,204,851,244,274,709,414,521,
116,991,214,261,777,785,098,566,486,713,638,209,615,026,088,131,567,275,070,
488,494,236,038,993,860,682,671,579,929,529,903,836,355,229,037,783,289,467,
383,173,878,295,579,584,455,561,967,227,916,225,272,617,952,436,759,975,516,
583,938,563,079,172,800,339,232,048,357,065,276,874,056,056,456,674,138,635,
810,573,779,108,728,710,493,407,981,186,228,351,690,264,833,302,208,529,600,
003,293,163,419,376,207,877,368,466,386,294,146,226,863,596,642,501,778,377,
195,447,994,289,208,624,722,131,603,206,407,846,897,459,548,069,565,352,486,
909,134,115,726,302,039,081,317,182,039,004,361,814,630,595,576,610,264,867,
572,242,485,366,259,539,302,802,933,192,599,137,147,702,158,331,131,951,163,
754,565,979,499,368,481,430,157,373,942,653,494,758,267,954,285,022,574,681,
794,100,542,192,929,003,882,021,711,686,522,715,948,167,105,650,413,150,364,
655,042,313,736,228,200,401,711,807,903,046,595,801,493,833,051,070,386,001,
025,455,118,099,381,489,633,299,350,828,735,446,508,989,570,777,277,176,689,
556,504,318,818,280,409,245,014,426,012,985,287,361,554,648,629,202,199,837,
792,495,898,656,198,486,420,057,540,396,267,242,147,041,583,778,348,163,406,
135,066,389,103,495,833,248,705,610,849,578,479,995,795,211,774,513,164,017,
473,308,790,768,981,160,891,857,202,022,792,622,032,378,672,846,217,644,224,
068,933,889,349,670,944,420,567,185,527,374,881,670,578,478,330,798,079,174,
298,199,704,285,497,656,372,356,783,787,803,384,871,678,143,260,486,054,641,
715,956,981,892,433,675,539,317,117,431,549,726,060,617,262,685,482,539,105,
371,559,377,134,306,306,635,718,788,504,484,631,157,958,649,211,886,916,257,
157,357,768,159,854,138,285,240,860,778,403,730,145,161,908,647,392,619,434,
352,841,540,192,203,998,463,858,591,543,901,129,947,552,476,440,920,575,535,
270,673,299,951,522,518,528,398,949,725,253,736,852,333,630,157,763,167,163,
538,594,646,978,298,585,247,067,389,715,918,936,968,661,395,679,316,810,483,
946,852,020,139,831,657,662,599,009,401,083,367,253,548,928,052,379,542,123,
415,242,615,222,391,891,771,902,241,274,134,551,627,827,321,929,943,893,452,
894,788,286,502,278,635,780,980,749,891,819,451,823,098,842,111,537,102,747,
511,039,079,071,824,440,144,463,343,539,664,335,948,529,095,776,034,810,583,
369,225,735,153,697,167,096,878,924,032,517,582,764,442,855,466,129,818,773,
932,669,728,540,601,452,806,328,226,214,003,823,986,445,602,224,137,847,233,
598,868,173,377,773,370,004,602,200,493,476,162,219,346,425,208,088,607,427,
920,753,542,309,484,195,283,776,755,605,510,591,167,944,269,399,293,493,183,
123,921,243,884,294,408,751,520,822,238,164,698,023,888,245,454,972,017,959,
621,946,198,528,297,027,218,909,178,741,021,439,882,060,767,651,537,019,193,
931,867,378,955,080,216,901,330,839,026,649,002,510,859,132,495,841,007,860,
551,283,291,562,987,294,573,089,785,766,998,571,798,115,454,799,104,667,314,
413,686,579,741,251,400,539,607,622,979,804,976,810,200,026,352,136,255,347,
995,206,854,810,312,673,350,994,769,648,587,757,919,918,903,373,270,645,424,
312,016,430,457,341,428,467,998,144,939,648,766,945,075,835,662,180,847,188,
753,977,580,959,840,629,611,474,755,538,164,495,858,857,087,729,356,882,873,
945,263,060,884,893,015,218,702,839,985,416,351,672,782,865,430,619,527,313,
237,077,876,653,564,300,054,123,376,307,493,982,164,809,138,778,170,142,586,
115,774,628,693,608,004,935,546,486,596,887,348,834,662,176,606,953,653,788,
282,771,437,007,653,648,468,004,280,557,958,651,788,895,517,664,574,019,486,
858,088,327,657,328,001,774,608,938,547,633,737,962,757,830,205,781,332,179,
482,355,414,152,545,348,151,858,676,959,719,369,688,709,819,771,072,719,153,
880,072,110,838,088,625,803,805,674,284,481,044,597,284,021,049,667,922,781,
445,128,569,512,959,507,595,449,750,901,631,916,525,954,833,408,922,186,524,
087,903,921,813,002,746,802,732,095,663,493,556,222,882,135,394,150,509,768,
081,051,950,123,196,028,801,096,284,185,801,295,596,078,765,590,761,813,854,
194,369,497,598,550,501,561,189,744,808,244,408,929,064,121,974,525,144,675,
935,231,261,941,031,481,706,703,628,479,232,325,450,366,084,493,544,502,016,
674,891,951,088,668,294,739,789,407,046,786,016,682,368,737,354,568,095,822,
989,247,654,572,830,620,523,363,343,071,119,705,120,705,832,042,335,612,628,
761,124,721,833,683,934,480,490,892,324,477,455,165,198,719,267,336,922,355,
296,221,135,441,234,607,908,112,229,383,243,393,143,038,416,460,093,818,552,
337,939,771,968,066,686,932,576,559,249,872,751,301,749,724,021,144,482,674,
166,993,911,075,307,108,312,726,508,431,305,410,058,525,752,130,593,280,582,
828,542,746,994,955,607,648,278,901,139,195,642,090,571,483,047,338,011,335,
592,940,519,881,899,179,631,868,419,746,264,581,026,439,744,108,551,011,006,
969,939,092,288,453,872,412,654,183,427,230,413,585,945,844,249,241,353,572,
759,429,954,305,327,321,557,046,397,968,577,414,320,022,204,416,112,466,432,
890,689,111,794,680,173,858,197,050,748,954,677,025,537,501,291,325,390,401,
018,292,893,175,589,263,689,241,131,260,057,878,316,913,537,508,009,941,559,
869,956,536,005,514,132,901,963,516,819,851,174,556,443,013,132,534,323,913,
880,815,459,027,320,579,181,866,397,641,950,813,259,398,966,544,567,280,724,
258,668,977,340,385,250,537,175,941,262,322,088,923,820,607,065,572,340,447,
598,594,750,728,607,669,169,661,647,203,249,864,726,266,439,690,408,205,123,
188,264,218,460,969,954,848,744,294,039,692,139,689,070,994,490,711,169,376,
025,850,374,936,615,641,578,339,836,089,338,792,045,544,323,225,999,585,734,
624,709,389,651,499,875,805,251,860,067,867,174,764,556,697,221,037,399,545,
231,134,426,402,712,804,651,035,083,418,520,748,573,377,618,054,943,496,725,
766,077,449,798,830,866,057,328,649,782,523,365,265,709,321,380,925,682,767,
662,456,325,932,374,703,614,753,711,601,606,972,656,924,709,814,609,048,980,
770,784,623,970,424,091,257,372,899,968,326,801,113,573,811,967,220,514,702,
122,796,061,622,048,218,945,684,174,772,511,375,367,049,819,229,388,498,979,
790,292,358,741,943,712,072,155,074,789,299,069,838,286,834,940,611,936,777,
276,997,378,885,547,440,943,802,811,234,085,242,073,041,608,721,370,049,700,
311,308,898,170,041,565,355,329,365,840,413,040,293,655,579,232,343,934,746,
202,947,554,807,735,161,489,040,550,926,654,741,657,421,585,518,431,686,129,
897,151,126,436,492,931,046,517,494,979,269,660,823,249,163,067,229,820,036,
063,639,585,517,522,418,754,163,863,165,240,039,703,646,810,605,522,380,161,
731,321,703,882,002,057,756,273,329,149,451,856,525,924,892,079,743,998,175,
052,721,392,951,915,508,389,707,593,907,967,340,412,557,052,212,425,308,124,
537,466,354,232,747,315,663,579,435,558,828,924,097,727,842,063,386,496,247,
728,961,681,422,929,566,660,342,240,830,371,649,187,657,195,289,101,785,226,
420,578,152,990,297,471,875,724,916,353,650,843,079,319,379,999,430,871,186,
830,899,378,162,943,656,513,839,328,814,519,133,484,428,992,229,528,112,599,
241,074,987,351,962,088,780,150,172,039,886,457,699,104,904,867,179,235,280,
290,509,533,690,269,228,636,789,601,966,251,109,285,626,067,339,008,341,558,
512,467,798,507,490,553,744,174,465,384,965,165,932,304,017,175,265,707,455,
555,824,846,920,436,885,801,902,337,486,992,431,742,313,150,552,773,249,751,
008,705,394,084,035,674,765,204,755,236,937,229,091,768,932,209,945,068,881,
098,360,432,695,088,018,574,313,448,728,135,896,311,468,068,023,908,582,257,
260,545,470,458,585,366,340,719,072,025,768,943,221,647,041,639,507,717,666,
894,754,552,354,911,903,084,768,159,144,964,717,235,416,974,968,481,197,426,
085,500,302,495,930,090,118,226,491,523,813,642,446,338,526,096,892,485,361,
968,580,457,942,237,317,129,011,000,448,385,989,684,618,141,209,939,351,314,
948,031,780,149,978,660,060,005,041,374,153,492,111,669,724,255,713,298,609,
961,836,298,609,496,149,470,474,046,088,100,808,722,405,340,275,119,320,605,
857,003,707,396,957,049,810,207,191,965,594,912,006,192,632,536,499,245,148,
665,206,887,003,165,255,448,769,064,170,747,706,584,581,112,185,203,070,151,
470,522,738,469,658,558,025,401,727,055,500,819,803,739,827,052,186,177,332,
723,774,727,730,197,956,493,509,506,700,034,412,253,883,415,361,691,426,540,
484,175,003,203,889,029,571,652,701,164,739,690,319,577,962,997,469,469,611,
374,412,130,233,121,914,260,859,019,484,355,920,025,793,190,389,830,209,999,
950,964,983,735,665,212,216,311,931,195,737,928,570,409,590,467,078,777,203,
969,482,661,358,331,236,514,732,276,449,494,624,312,971,944,531,910,331,844,
514,324,742,453,499,291,089,430,303,131,868,437,353,071,690,911,800,789,791,
076,771,799,353,786,751,030,802,895,139,673,171,351,304,803,577,260,507,567,
951,364,774,118,663,445,402,338,342,297,009,432,124,339,206,021,440,383,924,
590,267,830,198,519,628,271,915,358,697,708,373,105,685,963,227,531,363,357,
864,811,233,823,274,261,298,433,349,997,898,246,778,123,187,771,296,309,304,
429,657,410,533,610,362,874,594,905,569,436,169,933,190,489,213,983,345,179,
681,133,380,571,405,581,417,322,652,961,278,368,719,075,348,938,314,262,174,
449,216,283,401,496,918,225,173,163,068,856,892,403,112,028,912,814,246,291,
225,688,767,166,662,532,291,240,060,754,967,843,935,357,655,471,401,681,152,
393,798,535,011,039,924,937,624,772,231,719,474,557,309,937,891,006,933,090,
385,966,853,846,497,028,609,432,097,278,781,304,808,515,748,251,990,983,525,
205,328,855,180,291,683,314,261,312,641,609,067,223,814,171,419,181,187,480,
787,620,025,022,765,227,907,881,488,896,984,780,978,838,456,043,998,106,117,
090,580,141,623,559,412,096,565,286,601,171,065,394,282,897,566,512,150,405,
990,574,774,487,226,177,828,935,866,010,280,973,109,311,450,682,111,313,751,
762,488,732,180,996,549,005,843,007,325,677,747,737,733,375,734,979,954,941,
190,563,973,686,532,793,227,818,549,397,005,145,242,063,153,996,363,114,629,
360,143,420,957,504,828,238,924,346,491,256,146,288,108,952,550,600,698,910,
657,169,338,467,554,408,092,187,687,789,765,682,139,731,738,946,980,414,630,
524,879,350,713,970,972,040,687,646,045,577,392,891,830,868,249,088,272,868,
976,344,146,046,816,661,288,502,577,481,879,912,632,294,672,737,153,266,344,
553,368,191,871,818,584,790,616,086,327,259,232,378,333,067,104,057,631,494,
990,582,524,815,931,181,217,416,567,080,916,291,018,721,393,630,182,460,200,
534,883,528,189,317,111,156,345,169,210,311,485,967,122,554,161,749,745,055,
054,458,380,759,843,258,122,042,838,052,692,381,954,250,924,416,526,147,295,
729,735,606,208,076,426,458,441,369,578,549,593,273,755,589,176,155,693,738,
275,108,180,710,662,838,092,572,304,991,592,694,582,737,108,454,901,048,192,
147,771,817,265,439,403,724,334,063,567,708,143,343,166,676,505,380,521,955,
314,383,253,893,130,132,242,172,449,357,579,282,431,002,652,282,223,581,187,
258,735,659,577,991,801,896,691,799,946,195,626,634,467,521,920,058,549,153,
619,347,426,802,045,809,830,680,195,755,036,930,602,886,893,346,147,451,850,
968,141,877,402,679,327,665,915,770,595,723,189,836,593,219,713,917,443,320,
567,174,697,895,682,429,546,164,724,385,675,705,725,175,647,528,180,107,899,
992,588,793,780,990,656,156,303,372,687,815,736,779,933,501,731,448,713,692,
506,038,482,301,851,081,378,039,446,710,652,753,761,285,030,523,022,440,962,
592,569,898,207,306,082,166,914,714,727,861,461,599,010,699,123,100,234,456,
508,268,980,723,788,914,777,101,550,962,193,242,560,051,816,844,168,744,915,
700,449,972,218,494,270,369,823,749,301,816,095,703,218,855,342,143,375,095,
829,722,264,328,331,260,812,123,156,414,783,419,575,852,293,477,275,124,247,
796,483,794,024,358,202,370,214,567,952,111,082,123,056,603,610,439,264,726,
923,998,271,025,983,521,232,030,766,784,509,277,247,071,802,964,171,235,589,
433,563,006,980,055,927,373,983,257,423,624,250,231,656,325,921,183,680,167,
705,629,703,937,753,465,666,176,872,150,918,641,705,874,293,037,981,292,803,
220,726,636,349,618,701,905,628,231,063,221,764,949,708,974,707,958,024,717,
334,755,758,513,498,616,914,296,980,954,463,276,495,752,496,123,472,062,964,
912,263,599,778,355,328,010,675,926,117,970,168,794,068,703,654,569,749,574,
652,094,028,412,878,268,231,713,571,551,269,004,018,619,161,105,442,022,988,
698,803,511,465,109,402,691,337,695,435,045,207,341,513,849,954,494,602,291,
341,688,308,709,670,783,216,377,288,968,461,960,805,047,008,356,739,134,566,
540,291,615,698,196,030,975,520,766,093,251,385,388,520,887,842,478,678,425,
552,263,372,936,005,759,135,178,899,603,139,361,512,471,860,838,593,550,704,
906,218,338,882,852,869,141,276,925,844,075,390,201,604,916,391,360,991,228,
750,737,751,548,126,009,724,476,866,725,402,345,082,426,150,695,462,827,417,
484,165,073,400,430,948,160,379,447,347,997,247,526,259,113,814,670,528,120,
968,367,760,147,250,424,427,987,885,254,243,642,493,073,746,993,418,596,383,
001,955,829,024,461,845,102,595,360,834,890,795,107,241,815,553,845,237,080,
160,431,320,323,745,721,721,780,915,444,395,293,246,826,777,187,641,929,867,
205,810,262,767,623,170,844,529,920,136,208,958,013,374,745,037,388,192,509,
515,154,408,506,736,307,949,489,651,726,899,709,474,451,018,493,837,397,446,
320,815,193,854,570,574,494,449,317,601,666,158,480,735,606,000,591,198,742,
847,280,879,407,124,049,931,907,140,821,683,777,245,155,728,831,432,786,282,
268,305,475,933,670,029,737,354,183,851,299,365,458,918,093,526,086,888,666,
635,822,904,883,781,147,356,710,234,898,910,690,778,314,363,652,220,850,179,
373,043,337,980,422,621,765,986,333,522,018,380,555,570,835,613,658,582,873,
074,481,390,224,537,126,567,658,981,208,440,142,044,006,699,262,004,995,929,
339,451,657,578,209,869,642,009,041,529,202,325,862,964,916,748,539,674,041,
909,979,057,241,159,271,879,182,071,825,241,836,920,982,976,169,065,410,063,
091,820,980,081,598,660,339,687,792,165,873,160,255,516,850,385,834,023,974,
159,994,180,870,963,158,421,540,048,603,288,410,208,040,554,309,643,658,388,
271,956,317,537,617,040,291,982,253,194,218,468,762,860,892,916,291,396,219,
992,646,984,280,088,322,549,313,316,296,762,367,789,276,240,015,619,228,621,
671,069,109,438,049,106,444,886,504,692,158,968,425,934,812,498,547,677,059,
146,051,292,696,810,084,885,273,774,310,536,584,435,992,050,065,532,250,445,
082,872,333,585,041,260,204,388,847,328,370,741,594,027,813,508,298,670,433,
323,227,527,520,795,078,502,329,504,422,178,059,174,563,863,376,187,910,852,
811,201,267,860,795,426,975,282,009,070,757,593,177,964,147,208,591,048,731,
588,706,005,558,715,315,146,232,808,367,957,182,305,023,853,319,436,219,833,
792,737,863,663,296,853,261,842,316,561,853,718,296,802,902,168,294,710,841,
491,295,801,008,044,232,318,477,105,500,494,620,821,211,373,717,081,450,169,
254,851,531,043,007,540,081,715,512,610,221,350,213,111,063,699,501,939,280,
523,063,859,339,366,217,452,117,886,222,398,419,819,332,186,359,178,447,641,
504,024,086,087,845,060,861,051,341,716,162,687,424,990,834,657,250,251,377,
577,304,940,130,062,943,057,576,452,821,677,136,770,886,686,657,908,463,245,
547,625,238,081,003,680,814,016,661,181,122,185,033,028,992,228,708,950,348,
411,938,899,146,097,581,795,371,604,210,001,903,209,354,964,811,799,597,247,
980,308,932,703,068,926,414,138,443,575,741,933,228,509,442,905,395,759,043,
762,930,437,661,095,805,877,035,708,146,099,509,018,729,775,810,567,312,533,
572,963,902,707,578,056,110,489,195,062,009,053,765,185,065,427,541,488,659,
133,771,893,804,601,520,260,190,728,234,312,648,970,808,893,660,526,529,836,
502,425,418,322,998,962,059,177,787,342,109,018,497,285,811,449,473,806,562,
463,228,264,562,717,883,909,174,045,296,437,500,237,772,458,223,389,545,789,
171,957,516,412,119,543,034,514,576,493,597,390,133,538,324,701,285,971,811,
350,051,940,810,504,356,173,166,788,889,371,214,150,546,569,655,711,250,170,
125,581,845,326,291,882,935,823,970,491,883,156,734,611,458,681,086,007,910,
815,203,531,864,772,877,679,969,912,276,037,408,926,335,879,022,859,965,972,
293,260,751,412,543,886,345,049,475,362,103,519,708,045,939,335,919,236,417,
081,207,767,404,308,722,932,948,170,995,813,005,476,294,178,229,227,699,912,
550,272,230,845,653,380,416,080,984,311,905,178,961,145,988,477,917,732,021,
802,536,214,292,004,874,404,728,012,710,276,786,970,573,909,414,736,091,521,
020,007,899,121,468,776,242,947,927,131,729,259,864,113,976,730,155,069,198,
338,378,659,660,448,937,110,241,342,998,910,320,765,421,595,159,195,159,175,
397,240,811,992,241,617,260,443,717,209,930,898,317,375,403,439,396,948,594,
275,256,127,343,053,770,015,102,181,899,830,378,248,884,967,343,028,422,228,
660,431,666,398,364,193,293,765,039,853,983,719,689,301,680,049,714,885,697,
230,671,700,900,636,778,821,301,255,493,153,351,281,955,099,509,104,351,848,
618,761,603,497,203,837,933,200,478,258,935,189,110,738,352,859,318,372,045,
435,447,497,162,324,647,692,915,572,424,999,153,664,392,600,742,838,375,994,
602,476,850,971,403,579,030,891,567,265,199,405,705,732,459,249,169,704,045,
001,515,795,140,780,459,921,323,024,114,834,183,451,455,653,534,981,012,899,
513,224,633,946,092,022,320,960,674,054,620,835,193,548,487,982,422,627,191,
411,082,773,329,396,515,749,527,058,442,174,075,403,296,361,855,042,845,124,
309,300,855,889,725,293,753,096,304,924,272,732,856,068,617,742,797,236,944,
137,341,805,765,902,724,606,431,988,508,116,186,389,916,684,452,053,595,794,
700,453,910,805,130,318,810,041,448,830,610,470,100,190,085,428,607,600,505,
764,354,215,046,730,799,888,853,612,034,569,143,276,790,924,313,497,732,590,
358,419,512,533,557,752,664,108,964,840,612,489,275,949,933,016,172,393,088,
684,575,782,601,859,937,959,573,470,112,527,609,619,353,258,089,751,620,394,
026,073,974,677,496,903,305,103,018,833,114,623,429,431,220,841,507,536,024,
721,678,599,053,206,664,426,086,484,541,355,651,027,420,568,647,883,689,836,
157,447,935,082,004,440,947,386,396,008,760,205,410,461,152,601,677,991,076,
822,051,560,010,542,569,695,099,438,346,784,707,770,505,414,119,630,656,667,
956,637,372,626,719,863,120,803,978,584,355,720,490,043,776,497,923,115,262,
067,698,913,977,378,580,278,039,691,938,278,797,718,013,074,328,988,195,544,
979,145,851,983,873,204,834,151,445,107,512,155,430,786,002,926,880,362,224,
079,858,548,755,254,318,096,443,811,670,107,122,556,013,671,403,858,454,617,
763,112,403,178,980,573,906,175,883,471,033,751,736,488,919,020,107,891,847,
752,533,972,063,163,356,821,795,047,526,930,090,536,915,618,192,392,815,613,
840,872,202,329,806,549,818,277,278,375,359,680,215,926,138,218,109,077,419,
208,923,667,087,779,576,552,752,090,479,422,213,833,898,739,606,017,381,514,
820,214,682,811,802,356,586,545,990,570,943,388,603,869,183,117,171,521,548,
345,860,648,520,507,730,700,295,504,492,276,993,532,502,893,809,914,730,921,
273,613,507,320,697,956,327,920,628,747,106,059,432,485,595,380,511,156,241,
146,240,247,568,264,180,826,620,027,960,234,993,554,511,266,781,297,070,812,
733,214,199,082,087,457,898,702,258,008,209,394,485,350,413,577,082,515,493,
851,516,644,661,115,743,222,618,173,272,376,827,042,448,556,618,532,336,283,
891,226,707,908,453,283,942,145,441,181,786,800,786,673,767,922,267,601,069,
487,663,073,940,476,129,864,976,671,066,592,153,901,632,091,267,470,377,792,
482,643,000,370,332,760,606,891,308,697,248,580,339,270,287,227,352,322,173,
039,589,535,928,620,000,883,056,935,372,991,093,413,939,991,273,410,724,760,
109,234,627,108,450,437,645,979,293,348,701,121,860,421,585,729,867,911,943,
975,781,550,730,804,090,609,934,117,283,832,709,519,976,542,592,015,750,286,
235,577,831,548,202,262,156,421,562,644,524,851,192,089,390,504,870,121,542,
237,014,382,357,438,421,322,116,665,866,685,300,131,284,871,678,293,403,224,
048,896,703,282,342,504,522,049,246,292,644,714,664,775,487,349,653,026,126,
568,593,855,431,111,009,661,319,004,550,904,438,367,373,201,892,095,881,105,
633,408,617,638,062,072,840,507,859,187,532,039,576,619,501,899,056,976,545,
069,578,940,196,462,501,787,907,862,777,706,940,563,256,510,876,420,349,605,
971,308,487,126,664,870,240,718,711,654,398,037,877,893,852,263,715,925,218,
757,420,554,171,329,689,215,904,987,072,135,058,028,023,577,648,406,792,649,
676,951,944,380,321,268,816,877,229,986,520,064,290,052,245,970,401,324,191,
933,032,373,491,801,781,758,286,760,142,020,822,810,170,439,622,888,270,833,
492,862,256,912,712,969,304,173,202,009,124,059,922,156,835,881,358,011,234,
647,525,224,516,328,906,013,355,065,946,562,262,154,564,823,893,001,357,369,
429,834,353,469,772,944,696,146,522,418,824,250,988,667,958,638,712,596,844,
395,370,699,114,502,650,060,262,011,363,520,883,435,578,563,810,702,902,649,
815,763,104,067,685,429,380,503,665,711,957,002,906,789,062,987,571,476,630,
428,350,156,406,344,532,188,555,605,452,153,934,311,941,420,311,736,381,404,
708,791,744,587,645,102,338,601,446,890,036,460,326,052,352,184,693,087,710,
416,770,056,626,994,899,860,616,418,801,198,119,417,915,172,152,580,973,959,
313,040,152,303,713,690,496,450,397,979,826,081,362,461,609,670,577,765,123,
556,035,270,678,229,619,910,773,670,418,077,663,786,830,134,038,835,878,531,
024,231,607,488,938,082,782,551,117,587,308,477,783,735,241,804,826,345,919,
761,247,985,219,394,425,153,660,934,035,753,795,781,148,281,840,940,388,495,
192,839,954,627,063,703,191,952,601,341,902,786,050,414,606,141,184,652,678,
396,585,631,028,667,079,199,943,813,046,350,493,904,020,652,742,995,156,598,
281,692,568,015,077,241,836,451,994,105,551,410,116,274,299,375,580,224,270,
545,769,087,281,854,288,266,870,355,721,396,217,069,228,204,044,318,181,994,
820,723,307,478,393,574,841,004,210,709,555,730,662,142,322,987,970,315,770,
774,097,004,877,305,562,466,320,624,530,018,308,651,191,043,581,573,120,909,
654,720,699,017,812,612,613,165,032,733,304,557,775,734,698,631,236,971,188,
987,955,737,165,470,749,497,415,745,118,285,700,924,719,164,138,087,200,970,
942,113,043,778,710,333,045,039,206,117,262,093,374,588,671,908,428,180,996,
516,755,893,690,907,844,206,032,882,414,342,211,894,021,730,907,497,303,550,
426,349,548,861,133,534,324,048,449,499,994,308,620,814,445,641,441,070,178,
605,831,182,882,332,168,050,014,660,876,430,563,480,803,445,674,535,341,682,
191,338,107,162,715,710,872,901,769,719,087,804,426,581,740,924,547,666,489,
680,476,712,436,753,167,157,802,677,361,555,955,073,366,915,982,152,211,753,
631,037,687,714,853,635,368,880,325,017,453,790,786,578,464,769,316,095,332,
760,493,086,551,888,318,798,388,941,288,909,757,116,803,804,892,555,129,165,
723,082,977,234,347,744,253,071,731,849,434,723,556,041,724,049,357,925,558,
686,610,766,807,761,011,411,387,863,515,325,962,680,680,520,852,774,983,364,
114,445,169,661,476,312,750,926,715,691,009,976,803,286,101,727,232,302,893,
662,811,222,276,136,580,922,002,677,313,325,003,221,081,512,536,720,121,371,
351,600,790,222,006,692,484,448,007,916,594,174,363,884,148,512,323,786,713,
882,339,656,758,419,334,559,096,800,788,896,544,195,804,478,972,881,791,905,
844,809,338,507,721,309,080,570,167,173,050,879,271,347,196,740,094,977,659,
553,652,041,304,619,492,861,108,938,987,935,016,911,854,973,287,293,033,997,
296,658,312,517,766,133,784,465,684,276,188,415,502,553,009,557,941,747,860,
064,099,813,053,030,514,740,474,740,315,420,842,184,052,171,028,291,196,168,
248,503,577,275,058,850,479,516,221,829,363,137,520,724,829,056,027,592,185,
870,024,946,759,140,736,357,840,566,688,862,780,934,638,303,078,638,427,208,
087,521,450,705,704,505,564,679,732,600,491,162,949,473,655,451,695,126,376,
801,842,066,246,207,818,277,010,154,052,794,981,687,753,087,865,113,171,945,
807,932,914,933,088,764,893,304,996,871,648,066,538,435,929,330,922,912,220,
155,285,815,294,755,302,547,905,474,495,973,441,827,260,768,806,981,599,228,
082,516,696,518,566,547,547,096,066,900,660,796,780,486,424,359,050,543,138,
910,867,735,091,449,110,612,418,992,286,245,254,116,468,952,003,810,214,446,
868,281,622,310,833,267,877,537,655,088,365,871,339,218,803,988,383,477,001,
226,238,935,365,236,139,099,517,151,095,952,976,053,061,738,322,758,495,873,
198,221,852,466,994,205,972,161,005,883,524,156,708,496,988,419,775,096,862,
290,883,039,222,296,920,319,601,042,965,909,769,029,659,027,407,742,332,272,
723,492,299,562,816,401,775,334,841,119,722,434,021,021,539,265,240,434,759,
006,558,415,317,651,546,045,554,998,943,489,886,210,225,659,911,253,295,404,
121,281,264,141,942,066,158,509,632,733,709,657,308,568,195,718,372,541,714,
838,766,536,839,842,021,310,549,313,339,622,499,421,411,100,511,368,809,254,
656,985,045,202,468,814,793,302,965,367,214,878,768,611,529,130,970,928,815,
497,871,219,648,020,328,056,174,946,383,758,710,754,108,601,424,639,154,408,
830,432,232,691,188,452,129,406,334,617,283,988,109,810,454,602,616,017,252,
080,150,118,833,298,835,836,025,776,556,856,455,404,645,445,510,129,624,661,
258,847,261,710,911,362,599,462,292,198,688,128,257,609,708,439,698,206,421,
210,696,283,060,992,427,001,773,393,211,210,901,408,855,654,258,956,633,446,
827,503,791,493,417,288,289,431,047,827,770,635,617,478,323,386,199,415,529,
795,278,356,923,220,188,117,713,256,134,516,351,607,339,772,994,470,578,018,
614,454,759,274,113,598,065,994,883,606,644,991,744,386,394,879,632,171,852,
663,609,646,368,670,641,424,782,567,796,605,386,383,563,538,058,451,781,810,
083,736,672,619,016,122,419,242,290,192,683,220,200,586,591,186,244,371,810,
458,433,139,761,611,830,019,467,177,443,186,687,460,690,612,338,990,653,331,
440,954,713,526,121,210,685,645,663,937,974,469,833,954,162,509,339,717,262,
981,861,321,876,689,885,549,510,806,262,795,081,997,572,896,146,850,129,627,
137,142,690,079,969,213,067,572,526,127,672,634,721,140,973,490,887,050,842,
646,765,145,429,670,406,611,298,979,098,877,907,800,391,768,953,893,791,518,
259,761,406,928,891,865,714,859,016,519,908,093,295,437,903,119,630,360,465,
749,919,168,696,284,108,843,848,174,533,269,933,030,339,147,551,377,845,996,
062,567,600,580,095,865,109,607,282,665,083,325,293,353,633,641,146,548,400,
414,439,371,343,947,235,795,752,007,134,427,204,477,050,546,266,284,903,772,
186,526,504,863,151,161,593,904,725,507,574,400,235,232,526,619,186,804,867,
403,933,395,652,847,696,894,948,662,364,017,957,187,391,756,742,332,051,799,
883,127,491,583,617,301,564,815,316,927,556,472,267,768,036,025,886,870,860,
781,149,562,637,950,992,972,953,061,576,801,670,582,776,206,094,101,998,557,
294,056,022,027,796,970,264,334,110,700,379,760,590,358,903,944,139,031,770,
252,441,894,568,566,175,624,690,640,004,160,554,095,493,924,813,185,119,001,
570,484,991,829,706,588,598,134,098,088,922,071,821,773,268,562,393,931,756,
373,280,298,391,743,732,973,393,521,703,328,039,574,562,321,087,601,434,089,
057,160,232,954,489,402,887,848,812,502,162,997,128,704,685,234,082,790,585,
229,284,890,416,007,965,914,357,021,205,643,138,897,398,025,471,969,386,211,
369,367,193,826,213,161,895,259,786,954,327,236,155,738,352,010,444,245,772,
044,981,460,188,177,248,118,754,251,197,993,624,749,473,270,818,615,960,726,
990,567,580,711,236,865,145,668,863,852,744,155,938,020,413,716,658,920,220,
617,769,982,734,792,217,476,606,321,774,805,283,877,229,947,403,450,416,889,
831,555,007,598,137,571,387,611,997,603,392,006,815,171,994,656,563,168,762,
420,050,118,051,767,988,023,598,538,100,614,293,886,819,363,321,797,408,969,
126,414,112,755,736,870,516,437,063,835,814,579,310,188,049,750,320,322,063,
474,611,631,410,806,636,186,603,279,239,781,340,301,708,532,331,212,095,891,
674,123,674,637,945,960,517,345,438,694,588,321,973,753,854,058,623,087,137,
521,964,595,584,696,773,680,614,176,743,467,006,814,196,610,739,939,976,255,
862,902,236,379,677,353,868,098,768,116,793,340,383,215,919,593,422,325,135,
104,621,577,376,506,049,876,621,976,537,890,514,139,589,794,977,950,429,085,
884,440,619,451,629,953,033,657,246,716,576,412,162,922,838,993,882,230,391,
535,767,379,047,233,227,203,567,892,632,960,493,036,613,728,541,766,090,943,
153,823,238,445,649,304,349,542,169,631,524,035,513,698,395,575,518,994,567,
168,100,267,462,193,169,689,178,067,471,463,240,859,848,677,663,154,792,542,
040,663,741,508,121,271,346,531,882,042,914,758,239,731,188,286,873,434,412,
320,823,446,320,156,214,847,062,537,335,201,304,276,998,076,052,400,282,062,
785,990,385,921,748,748,003,949,943,683,638,409,855,820,610,523,146,318,914,
794,540,484,190,047,648,199,150,222,290,612,863,263,420,832,986,981,361,185,
722,425,991,462,858,921,316,673,032,714,876,547,354,509,879,489,024,170,561,
474,678,876,167,667,491,167,143,490,353,347,790,718,077,490,865,712,696,305,
297,966,421,109,166,341,413,427,230,120,138,849,592,233,433,313,147,423,423,
807,348,929,412,002,309,410,888,745,115,295,769,989,399,449,002,964,713,895,
821,522,302,298,409,477,182,563,475,382,501,577,813,983,730,235,503,706,087,
611,822,206,241,314,561,240,446,779,795,100,840,609,809,111,543,969,486,664,
064,171,841,037,328,926,017,123,972,253,191,366,825,382,986,281,232,068,547,
669,870,885,443,025,724,927,461,342,077,020,225,435,322,839,335,743,671,765,
589,331,849,111,931,394,470,110,420,812,761,025,333,039,588,895,197,937,879,
934,282,524,949,764,848,761,241,439,385,492,244,299,273,505,590,533,100,237,
952,528,691,867,582,282,116,183,292,179,227,002,777,163,805,967,844,168,597,
656,094,621,559,634,077,320,480,795,760,112,527,335,862,065,168,770,809,103,
295,501,265,372,886,325,346,526,310,534,214,023,928,683,599,067,456,928,314,
242,370,077,368,554,740,463,990,324,413,017,683,845,378,817,012,708,534,697,
541,149,638,323,087,138,160,301,516,862,521,417,209,388,375,878,774,321,293,
949,388,107,909,793,079,600,297,647,019,915,892,800,966,596,572,801,841,338,
832,279,619,540,242,229,135,400,707,058,242,350,688,303,345,478,516,939,747,
956,627,997,715,513,598,889,097,296,962,477,499,598,412,015,110,762,452,309,
967,727,442,138,011,223,900,065,240,533,079,375,118,208,667,953,629,674,247,
354,948,213,355,062,122,311,002,335,432,688,867,392,197,090,658,287,369,577,
059,336,045,967,018,714,629,566,824,506,114,068,956,247,708,498,264,511,400,
690,936,849,214,676,710,371,433,572,730,293,842,149,126,355,914,179,304,455,
877,342,247,797,064,899,686,753,723,428,900,484,497,595,958,177,333,551,401,
197,876,957,752,882,713,896,594,843,577,172,246,457,242,073,817,953,545,369,
838,066,364,514,444,406,503,697,792,523,934,914,888,074,608,182,678,445,886,
646,074,031,316,936,116,623,294,865,680,402,564,324,104,132,893,580,413,246,
902,122,598,539,855,221,426,695,303,136,050,853,176,771,258,618,678,456,382,
896,471,013,671,903,465,356,949,406,373,025,846,653,804,581,254,801,728,642,
908,262,465,654,238,090,470,558,507,373,056,761,238,800,484,096,619,814,007,
447,189,181,711,890,681,861,385,073,820,894,127,564,965,357,186,091,681,326,
261,103,528,821,302,832,092,244,199,990,062,519,058,930,168,443,073,533,577,
489,867,262,321,213,980,889,285,589,806,008,488,291,324,918,741,099,705,743,
398,297,371,281,689,875,258,489,129,780,013,490,869,368,424,828,241,928,386,
901,628,513,285,969,088,053,662,972,086,772,410,749,984,579,899,713,565,450,
485,952,425,516,932,210,209,042,960,113,945,309,194,188,400,185,284,648,292,
331,828,481,832,514,620,899,451,829,004,801,506,701,112,552,947,752,284,844,
926,215,173,803,069,723,551,354,334,378,225,128,818,734,884,252,060,584,527,
142,932,460,348,106,911,810,070,980,792,631,635,002,311,904,203,431,740,262,
246,433,541,079,227,350,241,917,811,708,165,267,820,034,439,077,111,776,413,
173,751,818,456,426,630,411,125,369,387,776,432,576,138,678,694,457,848,471,
803,009,926,983,891,052,635,418,936,290,807,097,713,662,379,271,610,177,073,
897,199,045,242,246,495,058,891,130,498,386,672,517,017,737,822,486,115,045,
696,464,747,862,025,389,878,398,407,998,183,151,476,085,226,809,933,622,021,
481,723,230,711,108,183,600,333,564,383,818,674,091,071,737,738,676,482,995,
382,499,007,264,108,125,640,586,064,781,508,760,074,217,635,562,432,812,791,
299,372,042,229,835,762,463,886,793,180,321,463,639,861,060,694,007,994,822,
298,332,226,932,121,550,659,090,372,389,772,987,837,057,775,890,509,559,648,
542,148,201,833,663,986,921,255,537,240,970,111,598,534,706,884,760,930,560,
514,903,934,345,233,887,108,406,411,394,169,709,010,213,766,811,897,863,253,
418,135,612,578,765,815,478,642,891,893,466,360,362,469,984,967,066,627,886,
600,409,140,804,796,341,675,489,818,346,038,998,256,512,007,702,941,762,797,
231,352,996,325,786,133,517,227,294,669,637,191,996,695,301,870,946,163,014,
333,856,062,212,395,668,187,754,289,695,775,648,472,004,668,462,914,865,035,
214,606,928,227,424,690,178,521,404,555,350,557,189,994,759,674,913,941,350,
219,756,145,779,850,247,172,423,337,385,534,127,658,907,007,625,886,485,879,
360,066,782,332,966,242,326,329,470,531,555,110,070,877,254,422,337,006,694,
269,633,868,369,437,226,842,921,790,673,928,600,631,560,960,317,424,228,035,
118,151,996,691,637,355,987,791,118,490,209,276,786,956,685,628,614,390,887,
728,780,596,178,406,057,189,948,370,792,689,341,992,628,111,151,756,554,302,
998,600,179,235,090,537,772,970,745,948,053,591,149,853,305,566,130,277,207,
170,593,333,888,062,292,777,574,811,070,353,968,204,376,255,853,470,752,258,
385,610,984,580,806,760,623,994,292,422,435,503,339,190,056,632,005,318,242,
842,138,827,932,991,132,626,968,799,195,972,915,671,469,726,242,838,066,956,
425,868,627,074,867,338,182,532,856,113,108,583,913,730,506,458,639,449,263,
436,624,050,837,452,110,147,708,935,859,185,980,391,139,055,668,948,576,784,
826,584,952,281,445,264,189,393,092,921,217,175,949,649,575,020,214,472,489,
181,071,519,698,418,844,724,164,166,028,269,653,568,664,857,467,022,366,255,
352,309,429,648,379,819,436,233,306,449,551,344,395,387,663,900,707,234,122,
061,654,624,021,855,837,404,716,267,027,709,786,376,751,666,054,426,586,146,
117,459,609,814,878,563,206,930,591,940,601,735,187,429,625,934,353,667,648,
252,681,431,660,068,680,379,553,488,419,164,316,826,912,250,191,034,766,683,
176,500,960,077,866,367,873,097,094,369,641,144,697,559,940,023,117,563,992,
662,034,688,043,039,063,696,566,628,400,836,278,367,563,374,552,283,357,126,
910,900,491,032,804,342,945,237,026,985,380,175,074,386,303,979,044,660,412,
534,310,028,453,257,118,913,315,286,098,295,053,183,058,980,839,029,162,805,
307,141,334,183,288,191,016,131,360,380,614,207,933,764,828,909,488,707,442,
899,877,283,468,971,108,935,259,965,589,653,607,807,106,886,950,545,556,196,
290,218,042,886,614,561,808,632,414,730,030,662,133,873,958,810,613,282,441,
654,100,618,557,336,480,063,148,762,637,844,609,625,168,805,493,502,284,141,
778,557,763,528,402,905,735,703,215,216,404,314,037,278,089,989,209,031,387,
336,791,680,475,360,444,339,619,453,103,708,404,485,547,057,570,831,688,332,
075,355,671,652,056,687,747,455,669,160,650,009,940,106,842,116,563,954,136,
106,255,005,590,041,553,287,428,152,314,359,290,229,262,402,089,204,300,307,
526,230,932,204,936,667,507,197,806,564,163,780,089,788,391,195,739,695,028,
689,898,448,504,019,503,932,340,774,410,417,078,403,957,589,074,529,502,920,
401,283,841,226,204,169,684,737,341,735,570,651,536,704,946,859,250,935,629,
347,514,147,774,473,076,322,464,718,986,972,783,530,570,308,507,563,456,512,
849,274,048,972,604,324,798,093,507,468,178,522,539,965,670,173,175,913,321,
952,777,843,516,247,980,637,050,283,273,769,400,632,932,517,835,690,946,974,
244,728,737,307,421,079,793,703,606,349,305,234,514,936,815,854,642,303,856,
750,752,631,616,490,950,492,724,017,606,131,423,745,807,203,808,962,130,501,
662,965,738,288,150,242,936,753,987,056,020,237,428,816,260,634,494,451,525,
593,263,529,314,575,550,085,597,314,833,711,215,014,189,813,021,800,720,132,
896,291,612,583,410,699,175,408,149,596,372,092,466,712,282,187,224,176,888,
022,930,935,054,451,030,039,907,232,908,997,306,916,880,940,800,506,937,774,
900,791,949,726,335,177,919,150,698,182,020,572,752,305,598,932,112,527,579,
954,912,996,190,641,314,763,557,290,654,320,728,063,281,120,802,134,216,283,
201,275,783,755,811,142,554,585,938,301,786,524,794,975,792,928,174,714,418,
841,379,223,516,478,051,213,897,425,865,459,348,537,104,887,880,910,033,520,
646,296,565,451,429,311,778,287,646,082,935,196,982,915,962,502,538,298,325,
084,473,867,372,243,712,855,116,224,263,611,102,843,143,229,929,271,847,871,
008,884,500,226,242,462,740,321,318,668,115,028,440,511,045,369,466,316,521,
923,069,965,727,271,580,463,769,189,404,850,189,056,841,282,776,455,164,459,
814,584,020,501,845,171,169,810,111,502,404,201,854,570,080,244,036,434,763,
605,490,389,710,147,665,303,259,631,706,501,174,293,467,479,875,366,059,809,
033,571,252,581,814,934,660,626,115,423,404,310,922,614,718,297,253,118,083,
215,178,817,974,773,247,540,168,539,255,626,225,916,850,639,721,032,292,417,
838,035,477,002,774,561,658,824,064,022,665,036,309,989,729,680,007,903,017,
953,316,685,637,563,992,142,985,703,808,962,211,802,673,767,542,792,252,340,
022,124,377,497,385,220,594,225,723,625,468,739,083,673,821,874,925,114,628,
456,946,296,146,596,483,622,479,377,903,053,158,469,536,828,104,022,486,046,
860,173,066,751,361,797,841,739,842,453,023,803,896,415,572,770,347,319,469,
207,659,390,961,290,134,404,793,736,889,919,207,052,819,312,792,525,860,337,
768,483,628,441,081,307,080,867,726,874,027,271,578,776,265,399,104,448,700,
911,342,499,598,588,769,721,700,636,331,555,368,245,475,705,855,441,160,639,
144,848,082,358,695,439,597,289,940,202,436,296,480,764,706,516,892,736,442,
196,063,355,842,937,653,218,164,718,229,575,726,959,567,843,074,609,790,063,
545,887,180,015,462,987,602,384,738,842,347,171,825,756,653,747,194,590,118,
819,642,089,284,516,298,930,323,357,255,797,017,164,939,049,498,232,658,376,
850,245,581,946,981,198,319,555,549,576,271,575,926,764,881,558,078,079,279,
898,970,593,139,787,197,494,802,324,365,189,659,832,688,544,130,760,098,426,
077,000,328,329,953,455,088,752,654,484,068,781,899,825,686,738,324,083,260,
354,886,951,635,323,400,721,468,619,906,084,610,486,803,484,333,225,898,123,
488,543,679,256,352,684,353,069,345,278,174,648,205,060,846,894,852,782,607,
338,649,338,537,283,457,135,400,014,413,856,750,457,032,338,326,514,195,152,
907,694,977,144,720,992,935,553,725,816,012,223,947,352,822,237,666,633,315,
193,246,838,743,159,453,797,963,967,470,563,446,501,602,046,584,239,095,385,
428,624,350,564,225,404,356,930,800,513,804,811,085,632,473,259,355,358,704,
513,580,574,025,267,705,571,132,485,752,140,443,502,154,258,317,156,068,726,
684,746,339,124,495,176,979,084,133,666,413,569,944,835,820,205,934,951,347,
465,152,765,869,530,142,090,341,635,304,481,254,854,481,210,048,134,387,304,
619,152,605,513,736,510,611,125,590,872,126,951,321,402,282,601,554,767,047,
765,284,226,024,823,204,208,741,309,455,590,322,388,842,243,477,720,072,482,
017,548,139,293,347,108,891,238,386,004,518,327,701,453,312,974,913,471,280,
766,544,113,652,647,929,233,366,362,448,377,316,923,701,538,737,905,605,330,
792,662,963,957,361,656,621,077,885,778,148,999,130,726,194,568,859,360,402,
139,234,339,543,936,510,683,742,813,836,201,722,052,575,138,003,972,871,935,
749,860,128,061,817,557,794,083,132,276,452,307,438,074,655,821,587,525,277,
793,966,195,879,015,876,795,352,214,563,756,170,239,220,051,077,727,507,502,
525,563,208,121,948,078,855,111,782,988,111,494,013,709,712,620,820,613,988,
235,694,981,752,360,528,427,645,139,867,221,650,534,639,495,567,317,606,180,
717,814,387,788,994,061,516,243,489,528,122,980,731,283,331,893,588,343,985,
418,633,695,379,520,487,850,984,223,479,544,766,634,044,871,133,169,212,860,
820,196,515,849,058,871,684,368,722,422,802,279,608,713,340,406,544,241,341,
708,386,709,255,614,794,712,322,490,318,568,715,822,202,517,745,604,568,745,
177,290,145,758,843,995,803,243,392,459,000,430,355,997,922,411,484,148,948,
909,049,805,061,318,031,139,077,247,384,927,269,952,154,127,120,517,083,763,
773,474,863,315,185,938,421,798,959,407,364,393,544,933,284,279,519,066,897,
084,098,716,504,164,513,647,208,966,539,443,044,651,626,613,151,742,367,570,
824,782,496,013,227,821,274,659,000,576,119,512,600,154,864,826,033,336,021,
979,021,795,337,871,913,601,697,893,153,085,423,791,951,507,583,707,315,707,
962,594,274,317,091,393,248,028,080,419,877,342,428,508,422,074,855,425,231,
193,904,584,116,316,591,947,078,364,102,096,659,314,715,500,519,217,523,648,
310,229,299,428,622,526,896,321,218,429,604,260,802,864,667,245,473,337,658,
585,510,275,799,512,758,290,080,036,098,978,405,391,029,888,796,061,471,458,
929,618,998,024,767,613,557,099,793,544,358,505,205,985,109,080,711,715,306,
704,091,501,388,372,985,610,156,917,806,836,986,925,240,769,309,187,912,115,
696,921,137,516,965,935,867,796,091,076,515,409,338,952,313,806,644,061,744,
682,340,865,494,480,373,173,280,461,224,087,613,110,803,225,925,249,714,216,
989,387,783,208,567,926,923,453,054,771,283,431,710,459,630,488,299,152,368,
511,963,970,443,084,928,215,465,739,016,590,683,696,249,972,325,658,279,659,
456,699,292,018,957,578,277,301,177,795,352,733,419,774,336,028,947,882,240,
437,527,508,900,315,889,481,704,890,851,605,761,916,009,079,371,183,939,061,
136,170,379,724,126,603,971,231,988,329,624,407,700,009,038,275,136,772,839,
534,868,278,762,412,802,061,868,531,917,766,335,629,693,151,720,269,085,467,
721,112,815,068,522,926,052,959,021,446,723,739,217,756,926,908,811,563,402,
064,531,706,131,308,842,050,457,751,372,713,036,369,694,909,006,828,438,049,
361,698,552,678,488,077,884,087,604,808,094,669,477,373,693,301,489,848,967,
393,530,097,900,880,722,239,698,711,292,264,285,223,753,114,277,343,194,954,
973,686,469,243,675,320,603,493,571,019,324,121,420,549,609,330,974,555,786,
630,521,602,339,448,806,433,739,430,286,727,079,887,913,148,680,752,866,964,
085,231,160,006,147,062,245,872,062,882,239,170,655,134,685,057,815,469,701,
653,674,599,397,334,877,088,298,482,016,947,988,603,970,109,843,796,835,290,
980,277,824,479,681,778,029,643,783,802,130,098,559,010,763,229,213,954,813,
509,604,012,367,052,248,312,676,442,645,402,928,711,547,587,342,256,738,035,
502,545,004,789,220,836,013,674,667,620,160,558,039,311,218,815,077,811,006,
075,128,844,964,672,116,580,855,849,528,097,396,855,579,797,680,788,638,539,
085,948,547,310,805,736,018,989,720,244,927,922,433,262,395,608,780,681,761,
937,119,500,286,748,945,960,211,019,774,642,284,686,384,818,096,168,363,380,
249,215,267,264,213,783,990,872,519,838,842,714,449,274,297,827,361,567,219,
036,120,400,689,218,610,427,838,146,985,103,299,666,018,350,417,934,736,205,
024,407,590,258,539,467,330,255,873,388,955,803,270,095,921,956,343,413,588,
853,756,937,053,773,140,261,084,961,282,949,631,519,462,134,730,687,045,347,
117,057,752,584,202,393,598,288,563,522,203,503,539,362,478,927,376,106,846,
393,045,987,721,748,609,749,695,607,441,248,516,624,986,793,767,969,834,166,
110,688,404,746,666,318,094,057,933,579,789,590,139,960,100,701,282,545,786,
164,574,884,101,698,067,409,493,510,091,760,170,663,069,147,220,389,770,103,
222,330,110,200,577,015,614,943,094,428,182,254,187,403,265,953,256,079,617,
541,321,505,646,194,552,647,246,809,258,379,017,525,039,116,918,444,496,111,
817,723,344,138,034,780,521,439,575,694,690,997,471,590,999,552,277,892,925,
390,749,623,411,132,340,259,521,633,962,429,799,188,009,963,973,261,980,667,
021,949,504,769,933,678,324,697,998,880,046,417,790,008,526,518,323,194,520,
122,497,681,109,318,950,318,937,035,799,726,812,744,631,806,821,866,034,731,
645,788,856,750,223,956,524,547,756,907,823,687,846,866,814,214,719,062,166,
351,877,778,333,616,103,040,857,057,002,810,511,077,827,130,092,145,661,739,
728,173,665,924,483,865,876,567,403,152,387,742,022,204,501,549,559,712,268,
280,773,951,323,880,053,794,490,843,793,798,112,673,771,438,715,444,617,320,
389,951,374,112,594,408,226,541,580,038,624,364,463,925,425,604,723,572,827,
524,444,970,416,074,108,671,817,048,220,968,253,752,553,024,327,584,965,872,
149,954,309,538,978,481,564,197,151,703,572,112,633,743,165,748,818,339,745,
563,674,102,670,787,471,631,041,610,378,186,192,516,330,674,576,488,964,530,
933,593,754,033,695,410,699,078,713,835,741,196,968,720,204,473,965,662,038,
921,071,144,406,153,166,315,219,789,047,551,037,799,157,671,563,075,691,187,
367,037,032,508,565,027,591,671,851,248,264,306,006,348,399,437,702,459,127,
307,248,984,891,080,809,414,188,299,136,762,369,830,091,475,596,671,257,242,
854,027,506,421,187,130,638,276,998,314,584,663,540,727,794,157,137,839,136,
419,019,883,277,305,296,182,353,310,851,730,975,235,602,371,954,150,636,004,
321,945,696,363,851,267,015,197,061,689,406,848,203,802,802,713,107,878,394,
582,854,588,279,494,051,174,177,471,063,120,027,800,865,159,221,460,497,021,
145,859,041,036,817,685,732,501,994,693,495,105,004,449,644,681,383,150,987,
119,137,981,492,825,847,104,839,952,506,797,785,212,368,244,555,324,624,507,
670,732,316,518,653,587,406,843,962,603,890,350,583,363,649,366,232,097,683,
363,639,156,845,632,534,646,003,380,068,686,335,524,705,681,315,749,309,682,
281,957,013,530,013,464,939,124,111,873,266,773,826,751,452,407,534,303,457,
837,797,977,141,951,656,120,985,505,267,884,277,321,601,991,333,268,515,919,
808,817,610,406,745,964,842,803,448,723,391,393,831,451,236,420,638,306,281,
538,894,383,647,467,659,883,682,263,389,247,708,037,808,821,937,168,163,703,
594,251,593,331,913,758,158,190,495,447,713,117,537,187,604,701,369,184,456,
891,856,502,035,326,017,190,698,867,933,985,638,511,858,824,491,560,201,764,
608,686,926,787,675,832,493,525,476,549,848,473,217,273,434,970,763,994,010,
708,821,228,218,646,837,140,131,960,316,934,420,965,190,600,927,621,727,560,
074,811,791,400,338,814,652,924,470,651,542,554,724,180,118,500,754,435,796,
397,796,310,196,661,003,047,629,432,422,584,452,324,013,116,802,321,229,761,
773,880,416,118,567,670,958,899,281,741,343,957,468,486,014,677,063,613,823,
279,244,441,582,271,916,462,422,467,197,319,121,679,368,663,172,337,138,038,
060,695,967,796,991,686,335,415,322,218,190,887,554,841,987,285,716,329,980,
052,138,672,648,263,687,756,534,521,831,697,402,035,353,621,698,326,477,468,
414,604,648,587,385,041,486,810,662,384,471,892,495,191,582,686,041,135,447,
724,473,769,584,999,474,102,592,764,014,356,654,799,548,468,914,805,107,105,
506,177,896,638,795,952,520,634,229,427,877,048,228,601,052,107,789,241,207,
439,781,915,201,148,804,516,403,566,825,152,483,338,369,143,073,159,133,526,
664,793,897,347,062,920,432,416,414,373,214,481,405,348,995,500,773,740,728,
084,619,120,395,476,023,429,674,790,378,763,937,687,737,059,898,378,655,202,
211,212,010,251,720,706,459,385,822,454,814,340,256,172,754,829,038,449,514,
848,520,754,487,487,876,370,828,529,027,015,567,712,124,664,016,440,613,785,
916,608,019,018,560,329,433,720,571,285,788,751,402,084,551,920,800,182,081,
487,777,447,989,264,929,494,353,394,956,841,192,620,009,306,159,369,680,720,
233,071,687,328,504,060,614,084,932,986,201,426,798,792,927,847,478,654,899,
489,394,908,135,711,926,934,911,613,780,402,633,189,468,182,753,766,860,802,
335,025,677,458,386,942,150,026,604,135,720,224,192,813,473,401,700,850,782,
041,894,219,726,948,002,252,111,866,367,633,332,484,009,909,880,764,956,955,
268,554,999,570,313,923,488,330,738,032,697,168,019,048,932,887,341,534,344,
386,443,495,536,885,450,556,257,497,761,405,551,539,981,374,086,058,635,442,
367,291,850,248,573,717,795,453,056,130,021,541,056,199,793,816,051,865,809,
695,278,635,639,146,570,508,406,290,904,531,267,058,450,941,602,751,321,162,
889,148,879,486,409,009,845,567,880,068,432,235,519,420,719,260,840,102,080,
130,347,465,233,411,476,904,608,306,436,216,264,043,386,763,698,745,283,221,
982,662,622,429,011,780,202,348,700,889,982,829,632,414,599,213,665,250,905,
699,617,040,491,871,291,197,722,308,765,860,984,890,950,122,632,045,914,213,
924,896,503,182,669,705,800,627,522,765,956,894,558,729,573,200,563,681,876,
677,899,790,352,436,684,928,168,216,946,375,038,516,701,857,488,285,950,134,
955,130,992,191,213,337,861,585,652,241,830,654,531,120,586,493,301,482,292,
374,006,761,738,908,817,712,378,111,015,233,108,310,247,863,488,555,194,060,
346,915,345,658,472,600,811,549,940,307,501,131,941,158,300,740,331,896,552,
132,023,913,144,692,145,587,013,967,410,719,627,386,547,842,469,632,117,630,
049,032,338,625,924,489,009,693,941,987,743,465,600,420,311,858,923,145,416,
662,640,192,457,114,648,425,227,897,695,687,632,319,564,665,606,106,683,805,
956,023,951,437,118,915,902,116,703,139,867,593,175,513,693,245,702,913,749,
895,333,774,397,640,660,852,408,283,316,823,801,012,745,935,581,019,618,832,
213,013,693,924,313,086,081,200,949,352,591,354,413,858,201,754,167,260,677,
557,764,243,825,649,275,819,626,777,067,858,414,967,746,849,994,597,700,138,
672,097,436,935,871,092,828,898,397,895,164,680,011,653,153,072,865,728,125,
058,807,505,324,919,224,078,236,245,024,367,339,513,582,611,616,046,161,555,
552,769,830,822,705,114,579,056,556,715,222,339,078,748,991,633,183,656,894,
309,495,609,894,263,040,220,442,891,027,152,336,206,373,039,622,403,737,396,
112,125,352,522,600,376,398,586,587,482,183,824,417,734,697,462,816,072,180,
372,774,999,391,927,715,341,769,508,221,523,085,711,815,172,468,189,816,506,
711,748,081,815,974,590,617,193,983,938,585,120,117,828,837,422,090,243,807,
729,191,923,424,923,617,566,425,152,597,695,130,650,782,331,278,156,648,569,
794,249,219,156,794,742,361,179,207,945,719,731,515,425,768,997,881,056,717,
889,578,295,805,477,402,896,363,407,551,710,104,745,712,910,608,255,489,166,
083,062,715,719,660,598,040,053,445,357,399,196,859,278,277,091,276,622,173,
754,309,537,506,963,993,165,262,978,089,869,515,032,338,498,313,857,734,438,
906,237,781,696,023,717,564,131,069,949,431,619,399,480,015,660,654,370,350,
975,196,498,621,618,819,453,806,488,306,028,515,637,599,011,889,847,776,637,
247,241,921,034,051,232,598,069,929,981,427,057,267,553,844,089,128,173,878,
244,440,884,095,090,300,065,757,731,156,494,235,995,490,505,942,077,757,756,
406,631,256,174,844,897,935,861,630,565,182,298,442,442,497,408,553,028,098,
801,696,720,009,418,770,924,158,375,328,434,574,300,819,067,177,131,448,658,
878,428,581,376,101,805,577,852,760,317,223,348,599,725,515,260,701,747,058,
481,047,083,640,582,875,303,496,337,759,669,654,011,041,916,847,145,843,515,
962,816,736,541,857,247,173,981,688,796,915,126,644,066,088,962,394,287,216,
695,578,867,123,379,697,804,781,685,978,196,669,080,250,097,245,600,172,856,
625,471,232,548,649,391,286,573,573,257,811,512,209,262,777,905,455,127,653,
337,289,796,023,428,027,598,960,686,557,094,431,567,249,561,115,360,952,952,
422,221,309,549,733,128,355,935,546,299,842,988,523,700,634,076,352,691,895,
879,131,577,275,988,394,878,292,548,225,087,914,223,263,201,620,815,502,980,
306,965,040,084,720,024,941,658,945,837,850,003,861,197,347,733,759,403,562,
450,790,287,366,224,323,306,992,467,006,749,865,068,834,815,097,827,207,818,
938,361,648,236,081,510,922,227,910,318,624,366,406,963,926,216,935,239,879,
409,989,442,512,447,068,622,284,821,905,654,755,007,968,681,303,492,066,622,
358,732,264,925,819,665,877,944,394,169,718,725,152,741,140,583,948,632,489,
904,873,767,974,061,582,988,382,706,278,622,917,332,569,532,830,857,708,677,
987,407,786,466,627,383,913,774,103,135,957,784,385,040,475,497,779,630,368,
539,533,036,466,582,877,601,430,652,931,084,275,562,737,859,501,356,090,510,
063,150,521,681,591,431,432,442,262,233,563,965,847,285,456,634,950,558,468,
145,030,844,633,812,412,556,560,197,237,448,380,959,675,419,323,076,702,508,
955,244,881,313,279,430,574,627,662,550,529,472,877,312,822,962,229,560,161,
036,616,680,153,698,915,390,166,596,034,273,525,717,278,852,511,894,164,068,
266,561,705,410,222,445,000,446,755,994,833,657,410,496,992,858,109,776,536,
189,075,590,332,338,425,266,048,965,840,649,899,465,945,216,295,107,934,118,
944,523,386,122,688,472,080,619,391,306,286,447,088,932,085,527,430,891,613,
497,221,605,106,500,684,507,706,641,688,184,661,970,265,811,044,762,315,497,
073,961,396,150,660,573,522,950,319,077,117,357,459,332,459,599,359,463,270,
915,336,888,744,753,028,630,938,608,698,321,195,729,957,427,410,695,924,409,
357,095,541,327,305,907,020,151,934,479,180,036,374,857,738,214,601,306,608,
097,130,871,599,884,167,557,087,504,995,527,448,033,973,480,523,053,762,205,
839,259,597,340,557,961,147,747,134,158,964,177,846,449,351,504,610,499,577,
509,547,392,302,075,010,092,008,491,016,470,782,394,850,173,235,711,583,908,
796,611,129,825,205,404,910,210,176,494,120,452,639,939,561,949,170,517,362,
147,560,904,358,071,360,718,850,628,172,003,415,967,800,813,585,069,205,988,
424,317,512,732,838,262,908,076,576,986,112,134,173,533,174,136,684,825,765,
706,047,502,795,798,816,518,996,410,807,370,000,627,889,879,192,934,700,868,
412,423,999,386,878,848,523,608,980,457,073,078,245,969,878,584,191,956,720,
665,414,692,805,486,855,025,471,334,785,741,226,456,187,123,904,073,036,573,
929,592,277,583,931,194,064,284,192,404,468,398,893,887,560,301,448,724,291,
916,076,421,551,858,483,383,688,720,957,938,349,744,801,220,071,933,767,491,
615,251,679,637,108,889,919,754,243,401,329,285,243,573,735,550,023,237,290,
588,448,845,868,101,492,970,483,309,687,063,034,380,603,993,540,559,843,818,
391,054,689,378,943,843,075,211,031,669,624,619,486,469,786,869,801,299,395,
367,004,884,964,643,205,287,725,869,721,691,354,551,009,042,766,651,456,487,
826,008,823,156,258,842,856,210,439,055,112,510,348,232,935,902,874,607,697,
049,355,143,735,702,641,179,267,541,600,934,657,341,631,928,436,441,051,840,
938,485,518,091,316,889,866,201,724,911,828,514,390,793,412,479,958,343,015,
655,702,394,196,239,624,150,684,015,249,811,733,572,528,722,109,092,209,924,
916,472,832,475,054,058,523,085,346,205,523,520,466,815,074,900,482,790,701,
708,673,843,099,734,790,439,475,249,085,197,373,491,905,529,203,496,512,975,
710,020,636,325,697,224,296,338,177,613,574,039,345,402,915,398,061,964,759,
117,121,814,099,265,792,766,073,258,091,759,188,660,318,287,614,971,121,558,
517,376,922,891,675,887,125,163,333,464,858,662,767,483,325,122,127,477,369,
303,523,071,596,850,922,292,651,969,583,000,260,528,098,839,123,805,035,189,
323,301,007,781,751,538,768,625,951,621,351,517,411,893,628,571,725,030,388,
066,443,322,745,848,533,944,097,365,249,409,866,433,130,887,274,404,189,168,
414,726,263,623,113,708,953,666,058,371,839,537,532,551,213,619,345,918,066,
797,742,764,528,519,516,020,652,852,551,048,094,543,551,627,804,520,355,281,
588,221,145,126,616,509,431,432,518,325,302,931,723,876,077,788,650,353,425,
912,990,107,919,137,286,993,903,869,077,489,949,066,640,650,806,322,769,983,
636,005,329,991,025,754,266,675,849,711,647,452,755,847,054,611,356,081,844,
844,159,305,742,907,518,933,415,546,877,906,512,168,596,235,132,876,975,443,
420,248,617,659,219,782,941,646,459,657,773,934,412,353,766,942,017,899,824,
340,885,144,480,243,811,509,936,668,158,357,796,241,695,936,916,548,671,011,
825,324,992,682,782,261,689,040,739,007,803,613,680,600,302,050,217,921,906,
579,732,420,527,238,693,726,330,678,818,969,042,507,443,861,035,940,786,103,
496,954,041,566,278,098,029,760,072,206,210,628,087,125,683,941,367,139,552,
855,081,278,392,819,094,158,427,606,187,237,952,158,431,435,504,140,906,874,
434,846,628,756,220,016,659,350,367,681,346,469,887,037,772,334,431,466,452,
903,124,517,124,181,542,152,021,689,774,792,498,176,233,013,454,189,381,130,
981,846,723,736,614,683,500,705,000,870,396,343,982,201,176,944,135,568,889,
782,441,758,969,944,359,195,651,194,526,600,297,852,827,109,802,142,657,861,
426,169,180,347,860,658,437,625,435,500,516,280,865,723,669,571,764,205,141,
143,179,762,377,561,132,006,768,316,696,858,969,518,010,000,159,344,339,248,
717,971,186,466,525,841,713,465,926,813,436,390,685,727,858,243,497,981,286,
811,834,685,727,600,726,068,631,733,358,432,313,544,613,534,343,975,355,579,
231,637,106,816,838,370,885,027,766,645,001,607,517,482,799,031,175,362,807,
572,197,395,969,796,265,725,062,045,322,765,804,757,404,346,782,437,225,941,
744,125,438,853,180,855,734,489,607,324,606,828,079,440,451,522,800,071,706,
136,724,100,697,954,725,480,718,654,994,001,130,419,715,761,226,691,537,687,
804,372,509,016,019,357,831,853,813,658,139,121,885,391,779,391,152,240,140,
792,884,303,499,357,895,010,910,216,939,103,803,602,440,592,737,171,586,446,
794,932,392,002,638,595,203,051,438,834,024,418,981,439,894,277,519,609,309,
882,402,444,453,300,796,640,224,892,770,505,779,543,152,234,853,075,035,655,
750,191,861,639,687,018,281,755,650,866,012,544,497,869,214,596,939,051,825,
674,662,070,534,846,576,831,269,093,613,269,144,341,727,226,184,590,186,733,
657,148,763,174,509,166,289,027,227,357,145,933,776,309,752,208,896,120,049,
261,976,393,330,535,113,447,200,754,756,612,871,974,747,357,146,904,856,515,
264,871,438,759,198,432,976,427,237,207,757,985,571,212,452,693,287,912,963,
072,394,526,704,659,260,436,726,296,574,945,160,357,167,644,317,970,201,294,
095,753,949,719,842,818,860,769,233,814,752,849,945,986,832,803,674,400,766,
684,402,576,875,856,034,193,414,515,377,543,409,083,327,738,906,272,293,649,
317,416,700,159,544,451,270,998,980,068,442,302,044,457,854,144,682,371,415,
453,991,233,156,810,708,245,083,885,447,593,946,848,456,785,160,191,808,387,
732,094,573,188,460,462,991,835,722,172,198,635,907,094,301,251,138,276,705,
715,785,736,377,186,055,600,808,508,642,771,182,661,275,933,679,320,948,617,
211,745,028,173,925,871,808,237,980,844,108,690,268,333,786,375,838,892,738,
239,620,419,815,079,083,240,950,530,897,319,968,133,007,218,952,351,111,586,
987,250,626,696,359,650,137,392,397,448,327,311,743,774,640,742,148,982,613,
439,972,288,382,558,036,097,915,405,130,588,421,153,302,723,383,957,387,920,
384,690,410,723,187,927,282,555,423,208,851,030,989,717,287,806,344,006,741,
170,945,008,651,664,330,926,264,455,411,611,799,177,170,100,587,675,546,123,
395,625,125,993,119,456,888,739,122,453,435,612,194,005,743,730,340,155,711,
838,938,550,552,568,663,565,645,907,224,101,758,000,102,554,998,136,091,162,
645,669,155,675,534,275,844,571,774,362,952,083,527,776,030,441,483,061,818,
061,841,160,849,875,144,092,631,762,446,751,925,889,531,273,316,841,169,914,
520,128,557,984,294,230,595,769,379,977,862,440,833,143,313,882,500,349,160,
878,706,602,471,556,592,253,388,260,463,780,225,987,581,166,683,462,926,979,
397,327,474,119,097,125,353,336,158,075,564,413,129,241,187,011,573,356,914,
178,172,671,519,605,790,559,529,144,345,557,084,742,738,199,079,096,666,794,
176,868,815,597,598,053,760,992,961,825,416,621,605,085,432,112,900,008,559,
958,280,122,230,197,444,691,552,693,964,941,560,429,737,164,109,117,599,388,
164,371,516,263,566,072,835,294,283,746,061,569,007,511,052,072,811,180,172,
580,683,751,655,234,706,384,380,074,499,129,672,471,833,987,412,597,731,698,
520,506,033,482,645,944,941,661,043,081,053,801,053,186,835,456,702,136,437,
043,534,329,393,586,869,303,435,157,526,796,900,969,750,039,899,450,066,736,
652,822,285,254,950,865,314,308,693,631,485,406,484,865,672,642,330,825,102,
348,896,523,929,768,369,961,494,518,580,743,088,562,023,502,992,191,362,512,
228,105,283,477,492,752,455,808,419,697,356,886,114,034,434,544,084,887,761,
825,113,819,070,747,087,175,165,481,079,060,425,327,712,643,719,525,329,735,
162,799,097,544,343,854,371,133,104,431,811,410,725,971,657,425,693,461,116,
348,928,359,026,483,623,716,271,832,573,253,987,859,039,958,872,964,499,228,
714,117,265,798,787,101,967,945,155,642,184,620,458,703,681,418,449,166,946,
140,624,029,670,936,488,423,933,891,528,248,211,414,490,721,819,730,182,476,
316,881,451,840,162,708,490,810,845,859,022,544,292,353,786,915,707,023,303,
586,679,171,628,602,423,069,523,112,314,704,677,963,590,651,253,026,316,203,
342,406,291,631,874,253,828,891,563,199,990,066,521,023,694,120,315,529,078,
937,206,504,386,203,741,066,614,357,997,750,079,933,305,696,526,689,162,448,
593,233,268,132,635,118,440,227,365,461,440,249,356,922,097,996,737,206,497,
991,104,603,688,599,350,601,748,448,980,283,286,122,623,514,597,327,569,552,
783,631,967,603,478,495,936,081,166,810,774,225,919,412,438,384,650,473,542,
689,081,369,644,103,380,107,381,735,551,634,591,150,335,720,279,912,734,882,
850,215,618,556,808,134,555,364,130,501,301,266,985,543,267,410,026,529,335,
045,274,443,375,558,920,030,016,531,852,127,487,937,756,001,633,671,971,599,
974,456,940,540,048,445,681,748,339,178,875,463,289,164,428,367,849,268,358,
320,218,669,795,306,620,574,671,253,119,217,304,737,815,212,221,677,406,155,
334,789,907,512,394,693,838,933,848,436,142,307,083,451,296,745,654,504,065,
327,443,692,438,518,021,796,714,489,656,405,174,044,233,843,549,416,413,687,
361,138,698,735,058,407,224,870,848,128,901,310,185,651,038,130,018,627,088,
043,430,397,372,066,884,928,202,800,064,103,243,019,793,979,887,969,265,618,
423,486,057,674,279,484,227,830,662,096,537,849,086,237,736,605,395,824,102,
739,206,828,771,242,294,428,347,963,689,853,193,912,182,118,096,567,086,480,
163,568,689,821,486,559,315,366,493,642,309,057,309,875,900,697,837,570,274,
992,140,025,910,210,646,531,118,894,373,055,941,653,126,922,766,365,618,475,
550,635,279,333,981,298,971,301,019,034,781,376,480,403,712,225,202,251,652,
687,042,037,753,099,209,348,051,332,633,762,346,304,425,222,164,721,721,399,
508,088,748,164,623,567,601,482,876,345,478,470,670,638,348,033,750,202,886,
684,582,443,934,395,430,235,520,649,639,581,728,017,758,315,134,649,331,219,
616,467,898,592,340,944,969,860,769,077,110,068,846,866,800,640,652,242,199,
339,376,832,282,625,677,825,120,224,810,301,368,915,913,190,323,752,583,554,
858,390,984,518,605,305,292,284,484,228,756,801,668,750,913,545,687,684,578,
401,055,585,891,606,422,523,369,855,803,147,663,685,880,210,189,333,261,714,
149,409,988,092,421,593,064,927,980,023,141,744,315,149,237,812,332,060,693,
735,447,338,930,415,255,738,078,036,674,002,385,206,841,769,310,793,895,132,
978,781,647,033,006,501,584,183,098,798,063,887,087,922,339,278,921,860,419,
279,175,840,183,276,066,438,443,197,178,398,934,765,140,915,822,202,576,527,
886,174,283,141,640,541,927,957,382,281,077,923,105,119,739,546,497,321,533,
209,324,147,120,130,051,216,002,346,950,085,710,124,588,000,788,559,347,828,
880,225,942,350,449,611,680,769,665,928,837,189,275,182,123,570,893,543,329,
380,958,856,774,602,755,830,241,577,860,902,212,468,547,372,614,728,242,542,
003,622,174,897,293,399,919,808,903,770,906,654,337,473,391,349,172,674,941,
241,659,801,969,039,580,877,948,025,139,931,948,110,120,924,760,685,235,164,
710,842,344,039,912,305,569,962,108,399,198,831,773,681,483,594,063,408,166,
952,841,165,067,881,604,046,283,868,292,865,149,649,840,726,824,118,242,445,
631,392,964,735,234,518,167,033,359,130,805,634,083,508,017,731,375,578,799,
306,080,141,813,334,343,588,981,082,430,190,258,971,088,487,873,093,707,869,
274,451,964,628,335,230,967,270,908,157,769,326,697,613,478,073,088,238,005,
545,420,412,464,628,163,186,637,594,360,574,631,909,735,519,948,119,800,308,
882,479,269,705,776,960,504,412,015,124,322,606,086,988,782,997,461,381,429,
848,009,252,494,079,921,491,866,851,541,511,173,379,453,885,718,342,400,504,
109,604,657,283,162,722,725,381,124,811,221,596,781,044,809,599,020,025,161,
076,679,201,563,413,811,888,752,108,099,152,625,290,773,027,695,467,510,332,
215,551,449,580,042,623,330,505,267,794,717,870,646,594,098,980,157,226,788,
965,670,949,560,885,918,284,819,762,344,401,457,465,374,962,963,912,323,713,
735,435,799,176,202,115,360,033,577,102,197,080,129,304,201,948,961,456,075,
908,053,474,496,839,402,257,558,633,441,910,778,677,418,355,868,241,695,328,
142,653,520,878,853,859,207,358,985,321,772,788,261,668,959,306,669,689,744,
826,418,817,101,979,426,535,113,228,903,438,403,389,204,071,875,259,629,649,
540,816,141,270,458,017,023,399,024,727,232,857,766,596,247,881,029,801,814,
614,300,758,411,689,774,688,701,789,726,726,209,015,875,579,893,244,142,613,
777,965,978,475,236,830,231,978,587,311,141,932,516,977,501,935,431,364,704,
902,376,485,804,259,051,298,111,771,422,573,943,064,765,234,034,805,658,936,
579,570,053,243,427,893,120,675,525,342,944,929,027,383,779,936,824,306,168,
150,298,284,723,587,905,548,406,385,664,419,782,441,470,345,111,428,077,866,
127,098,831,348,255,891,411,730,614,826,258,660,446,584,745,282,979,700,945,
126,241,261,227,967,665,004,120,591,375,096,269,348,778,164,625,492,619,150,
819,350,580,910,880,233,572,070,993,694,295,826,578,717,536,131,694,454,025,
136,659,494,709,467,262,361,531,844,287,812,561,778,860,288,638,198,428,656,
739,987,294,309,983,982,665,371,033,776,468,771,261,515,211,349,532,826,941,
386,717,595,703,290,420,919,376,985,524,713,731,398,297,081,759,175,206,037,
573,540,296,354,193,621,716,163,982,851,991,803,991,521,298,930,401,974,002,
253,643,892,595,384,731,250,535,242,960,077,999,384,654,309,829,440,758,579,
198,251,885,246,987,998,595,479,224,182,743,394,940,108,752,695,787,558,503,
397,386,941,256,467,039,067,775,902,491,006,121,286,652,343,955,719,783,131,
217,573,930,693,257,096,847,814,652,747,701,328,775,350,938,507,785,933,172,
792,357,900,171,479,941,153,175,507,855,247,920,931,240,110,286,494,245,289,
171,130,133,204,489,292,609,235,566,897,345,077,552,521,853,636,542,593,253,
459,213,385,218,742,612,764,370,424,904,117,389,438,567,136,693,750,526,125,
575,717,525,438,989,410,081,569,927,819,814,641,268,611,826,849,586,524,370,
625,905,211,536,034,199,236,054,754,561,199,981,426,941,457,840,316,330,765,
075,195,139,655,911,443,559,636,327,918,549,957,702,771,457,286,998,992,469,
751,740,076,269,664,214,786,288,725,414,503,660,772,201,731,273,072,780,140,
208,360,462,508,800,331,961,996,333,008,127,164,844,807,175,452,449,740,814,
068,084,570,427,545,891,659,852,667,241,015,002,401,320,610,030,978,506,702,
883,592,935,224,691,369,464,282,368,901,721,152,515,272,829,989,042,562,005,
462,607,952,606,683,067,309,170,667,903,799,292,274,053,907,630,172,504,230,
310,653,655,309,372,052,158,782,236,796,664,362,079,478,342,919,481,367,123,
780,113,859,400,526,960,368,894,714,132,782,690,919,057,962,355,326,779,970,
223,388,843,877,757,824,198,463,333,428,837,031,327,269,925,352,126,154,183,
300,014,593,502,784,349,283,978,159,749,289,250,972,638,828,940,276,201,887,
943,359,154,433,706,126,682,532,484,135,301,435,700,992,396,568,525,265,752,
552,300,263,149,451,418,763,427,988,973,066,064,235,191,772,267,732,039,693,
607,311,302,137,600,968,156,723,958,561,097,613,267,432,719,681,034,117,634,
329,476,552,985,805,034,260,807,007,330,811,307,677,500,459,937,834,458,966,
686,555,707,198,335,071,130,992,822,844,813,586,297,037,174,198,708,071,485,
713,948,663,008,281,991,353,664,248,483,687,804,875,621,182,037,830,891,237,
434,222,091,936,851,524,498,251,032,909,556,782,849,012,519,558,053,635,520,
894,639,525,024,385,812,776,168,128,097,152,701,314,508,086,549,317,159,054,
384,941,823,905,433,302,097,049,193,468,086,563,750,794,053,715,724,002,404,
484,735,330,567,030,452,462,415,329,167,093,380,509,262,443,960,032,357,990,
667,944,727,499,682,826,322,363,212,249,421,884,522,217,277,337,962,841,400,
402,212,178,147,016,875,670,223,755,985,412,511,900,909,629,423,106,333,648,
386,245,480,402,436,356,125,917,482,044,312,243,403,084,671,831,111,883,714,
042,316,120,682,804,474,328,926,341,612,397,873,316,188,417,526,984,954,195,
791,756,449,359,409,296,960,721,977,424,182,110,726,475,540,664,549,380,517,
073,193,040,531,436,625,246,272,680,276,189,342,285,020,789,754,582,863,311,
311,119,135,590,922,644,124,177,806,132,522,050,092,348,461,583,968,394,504,
972,121,394,359,961,329,152,180,095,824,157,691,438,660,211,046,455,146,304,
891,149,596,760,476,102,439,014,797,395,166,726,953,785,214,290,100,839,616,
092,328,452,135,997,764,317,136,133,481,016,398,915,733,131,362,513,768,394,
012,455,007,298,285,687,060,721,498,081,070,507,998,710,061,257,156,053,461,
338,273,604,783,258,431,528,967,141,661,225,851,457,821,426,764,183,273,690,
021,250,976,038,446,055,128,552,720,233,909,835,106,612,369,232,318,867,387,
131,235,082,308,118,180,634,780,187,907,004,338,396,382,906,544,424,774,571,
311,106,564,835,757,534,285,795,983,230,097,021,183,590,605,667,059,813,886,
875,323,742,763,763,167,017,580,079,952,305,354,320,319,461,321,149,967,480,
850,142,753,153,175,379,847,764,464,912,770,368,523,754,058,086,905,958,916,
642,531,082,428,625,441,537,417,474,381,684,266,000,343,569,517,089,211,274,
450,226,788,887,467,716,158,597,703,990,841,843,083,626,226,697,865,001,985,
481,765,300,863,157,963,703,632,066,316,804,339,641,209,065,345,949,806,170,
469,708,258,825,566,498,297,869,296,364,435,235,253,178,760,008,181,211,636,
922,005,794,603,761,069,219,624,375,728,390,404,570,048,716,400,297,821,501,
271,273,974,373,221,102,955,503,793,753,383,109,500,503,593,199,081,233,348,
760,422,392,513,195,823,622,770,330,151,844,616,084,356,551,569,719,809,716,
007,698,999,134,841,081,179,242,370,381,200,296,651,484,731,578,786,602,026,
396,970,194,792,244,036,093,352,232,126,069,243,440,321,219,320,346,814,897,
043,361,486,742,757,923,179,923,535,533,237,566,786,064,590,941,357,949,900,
782,005,610,528,063,861,707,248,653,384,844,470,174,166,050,459,286,127,239,
631,726,951,850,381,312,008,205,671,951,910,728,412,589,282,562,094,461,369,
422,150,086,359,132,600,384,319,578,548,373,658,165,257,246,962,440,683,277,
697,209,651,828,857,994,037,443,548,344,817,095,005,174,562,552,065,977,723,
977,030,973,915,379,023,414,676,722,723,039,874,756,951,880,051,883,922,917,
432,732,067,170,711,661,121,817,876,231,906,347,985,188,207,820,709,022,076,
577,108,914,010,267,313,252,836,357,003,677,206,391,387,030,780,821,185,632,
373,104,242,085,674,502,293,976,770,541,636,566,776,622,712,552,248,646,593,
282,690,381,313,303,920,682,882,508,143,656,777,521,186,842,559,522,668,507,
974,936,995,638,247,515,983,014,805,048,951,514,142,287,017,589,543,704,079,
170,744,056,395,448,806,435,056,098,325,979,248,945,186,299,743,755,419,247,
491,768,918,471,113,141,531,676,882,544,078,070,362,841,827,743,713,475,536,
117,611,360,084,320,033,388,352,968,802,365,906,686,860,047,891,561,267,931,
666,338,101,279,795,168,733,076,045,266,471,597,514,294,947,320,342,260,013,
468,889,419,566,082,107,546,232,626,351,960,938,511,082,093,805,844,066,548,
417,061,493,168,988,768,898,393,264,325,804,193,985,504,193,431,831,861,624,
027,886,855,765,373,639,975,788,417,736,737,778,661,101,785,287,465,167,647,
530,942,708,086,142,194,612,966,817,094,234,570,352,747,159,681,050,393,973,
628,878,438,756,909,126,292,750,845,273,182,929,965,924,359,987,728,923,872,
388,237,744,134,884,647,828,885,592,446,292,629,293,967,181,729,570,326,469,
141,503,794,094,255,037,238,970,129,449,287,680,936,131,436,692,190,865,116,
058,545,223,511,197,276,976,315,582,955,645,295,630,934,534,405,493,569,032,
120,733,244,953,216,820,314,768,581,086,487,989,861,001,520,352,515,179,155,
672,514,478,170,712,834,984,260,933,989,350,413,089,630,850,265,334,530,219,
596,760,697,938,456,995,368,597,490,210,314,017,004,305,497,866,472,601,496,
995,985,441,943,791,372,872,943,270,704,057,449,456,998,552,430,080,699,832,
761,475,765,894,042,983,997,753,149,095,335,952,806,216,021,462,345,122,246,
846,520,191,344,506,020,559,467,908,556,529,661,822,692,321,767,620,644,759,
825,623,419,469,269,015,178,173,347,474,121,249,700,895,675,531,276,793,376,
612,259,778,754,443,616,712,972,143,473,409,376,766,718,726,497,105,018,093,
898,118,485,731,316,652,697,646,502,573,585,378,198,975,480,832,171,127,967,
465,267,410,528,381,901,615,938,654,837,346,487,629,438,198,756,410,213,671,
417,623,899,064,266,880,011,969,442,697,323,485,215,203,760,920,274,808,985,
309,303,780,258,175,798,641,587,779,521,777,977,266,129,346,582,226,668,266,
460,919,444,618,140,006,061,992,469,358,446,486,782,555,639,249,832,730,345,
842,191,555,949,981,037,432,059,682,478,785,365,890,357,311,530,805,038,113,
251,076,473,699,983,058,891,970,719,067,643,851,263,027,289,209,175,053,236,
504,985,286,101,153,847,246,272,510,686,656,450,192,317,374,375,559,384,911,
815,675,925,566,504,132,982,702,871,058,707,964,389,232,086,914,960,640,205,
255,114,885,324,326,758,656,297,312,982,776,312,459,114,001,187,993,003,929,
335,955,844,404,862,433,074,720,449,030,965,247,268,270,052,060,638,270,608,
630,302,760,992,947,671,748,366,045,442,160,898,265,510,832,855,472,396,583,
862,679,527,783,447,356,531,422,072,051,450,419,603,393,306,431,903,445,987,
094,570,818,458,706,465,940,233,788,942,558,767,454,752,768,445,201,642,042,
229,056,440,612,065,433,806,488,256,234,820,815,241,091,677,960,804,993,445,
655,195,866,500,503,589,993,118,919,904,876,584,797,868,414,427,308,546,434,
808,156,796,173,278,598,163,313,656,073,687,310,757,800,164,140,960,114,566,
776,782,905,582,929,994,659,916,814,966,253,609,993,597,797,098,093,919,266,
390,368,979,669,324,150,602,998,571,221,515,649,827,264,998,761,887,777,314,
778,459,497,517,886,257,088,932,153,403,480,655,798,645,968,300,673,850,059,
793,440,277,829,581,104,847,617,378,784,206,191,767,310,982,263,664,605,554,
696,386,138,914,618,625,892,618,625,382,510,771,270,020,115,251,623,320,064,
233,021,417,516,966,674,239,261,744,819,856,101,291,439,306,223,914,393,556,
068,321,800,508,506,534,415,560,783,463,354,902,256,489,373,984,066,542,714,
161,488,370,042,112,193,472,028,342,488,687,453,305,491,283,009,794,850,379,
847,263,951,820,867,704,081,298,607,114,715,462,278,445,672,959,585,326,993,
992,284,873,892,668,209,318,269,169,004,486,881,585,304,324,717,623,687,219,
323,422,473,662,364,541,146,280,218,720,732,071,612,468,061,048,326,311,723,
496,819,163,314,113,623,326,297,476,611,859,252,868,982,356,557,925,267,823,
149,434,317,502,109,724,324,940,083,040,485,667,992,126,137,254,204,429,350,
145,080,946,649,188,894,248,471,345,072,918,366,366,189,770,881,589,525,109,
994,710,192,907,631,824,281,569,738,192,518,122,045,846,352,699,866,716,417,
946,967,975,451,799,760,084,548,909,514,874,677,753,445,328,729,697,401,705,
018,161,554,365,650,418,932,852,614,632,418,219,895,397,374,231,901,849,211,
220,693,629,515,629,552,910,425,170,055,040,888,295,183,419,186,493,535,166,
944,966,279,996,080,417,073,484,582,023,576,001,283,848,702,671,815,415,300,
708,838,221,770,758,586,692,706,928,712,026,922,937,032,754,536,502,392,320,
729,059,019,206,183,196,421,383,335,380,275,364,005,056,195,695,220,396,770,
229,264,222,150,999,477,774,727,622,454,008,522,287,311,930,854,405,639,853,
278,158,734,564,175,010,935,397,271,608,595,052,023,873,973,361,740,645,628,
807,902,872,952,181,619,872,072,098,981,506,678,523,413,201,691,071,114,572,
226,671,423,564,750,828,952,067,352,456,311,219,511,999,675,653,904,699,648,
011,977,197,320,274,208,567,742,215,561,347,356,865,538,357,550,099,120,199,
508,901,449,190,974,489,667,005,110,015,310,770,437,015,151,923,728,974,224,
882,812,594,513,810,529,527,959,007,282,502,664,379,365,568,096,383,909,045,
649,739,820,556,196,032,200,145,576,193,221,402,892,231,355,439,655,614,070,
615,511,856,394,049,365,847,701,849,315,428,717,876,595,510,022,543,479,400,
269,285,689,965,092,231,864,927,721,459,279,042,187,904,344,458,436,377,889,
445,189,098,429,038,391,540,962,417,492,546,172,336,183,447,868,545,337,364,
700,453,676,902,467,166,154,444,924,224,416,503,189,930,307,706,661,653,730,
574,662,914,060,863,629,779,499,305,717,800,183,066,374,100,817,773,403,486,
787,482,927,247,238,266,871,934,672,845,386,004,490,747,635,567,299,762,629,
460,617,047,354,100,547,454,868,019,226,960,724,940,010,801,894,426,554,175,
375,849,208,208,022,296,970,796,993,632,177,510,418,565,627,681,680,285,161,
890,151,599,069,389,043,036,240,370,690,110,524,870,964,532,001,291,375,400,
554,675,228,813,309,071,040,175,578,425,041,996,500,016,671,274,051,824,296,
269,633,929,462,700,073,152,186,549,879,581,072,298,351,630,436,196,780,107,
723,920,008,460,887,019,711,340,544,667,935,025,696,612,406,295,553,469,757,
205,692,927,772,048,152,476,368,753,730,540,717,380,040,144,753,295,946,279,
656,425,036,292,969,718,825,579,777,140,822,711,321,723,679,803,029,013,941,
238,746,663,476,846,177,516,124,089,656,329,698,518,211,248,594,616,514,429,
768,710,400,383,849,318,029,092,973,352,178,681,178,582,540,131,521,365,662,
684,916,021,510,183,206,030,956,082,431,892,461,149,573,472,383,302,588,934,
020,863,280,193,673,583,394,217,087,393,530,960,032,135,041,548,276,803,680,
340,711,117,708,273,147,969,522,290,060,561,141,513,199,955,971,031,888,111,
025,066,175,972,517,700,336,578,244,339,831,665,716,693,268,235,338,599,406,
683,611,342,331,894,036,394,563,595,167,662,366,827,841,486,796,265,649,789,
844,553,760,229,090,355,210,306,085,261,138,572,183,205,512,450,103,525,414,
038,340,077,365,679,026,966,403,191,737,426,244,512,023,233,346,921,227,783,
205,909,474,059,767,200,944,605,840,252,785,353,837,730,807,627,090,402,052,
556,120,083,546,668,611,159,599,734,187,417,373,623,293,603,653,021,102,869,
179,234,182,516,386,480,673,222,916,101,761,496,323,546,440,409,196,873,145,
712,401,738,266,236,262,460,414,228,340,715,802,315,202,345,411,133,312,237,
036,002,745,309,141,568,610,845,408,241,741,580,420,498,964,791,295,049,539,
273,097,662,069,791,529,223,335,601,748,951,663,157,933,232,148,147,287,088,
079,075,661,273,109,167,464,205,595,251,137,446,331,685,794,234,676,467,003,
401,204,400,084,357,459,989,289,773,561,682,777,298,622,737,711,424,892,288,
652,433,319,325,810,928,466,949,790,627,570,520,984,747,742,456,036,634,972,
699,829,595,199,342,836,644,408,105,233,820,456,047,235,736,780,488,716,951,
163,535,148,358,392,791,690,183,254,242,064,737,810,082,236,581,929,685,566,
328,624,513,621,149,062,493,051,653,335,216,938,508,321,418,537,416,333,409,
889,527,796,639,463,077,038,624,073,738,791,032,088,918,241,230,638,180,258,
066,487,365,341,301,465,273,305,265,244,600,860,150,244,158,294,893,011,003,
328,465,648,927,316,233,269,248,024,287,768,160,183,450,562,262,874,617,873,
267,341,307,763,915,318,685,939,183,062,369,832,114,877,149,186,957,082,759,
127,449,924,406,921,678,094,857,687,538,901,690,313,176,196,639,443,730,230,
766,065,023,113,689,053,594,892,227,503,256,392,273,798,989,119,877,661,117,
922,166,099,590,471,345,742,858,457,597,307,512,933,049,951,403,034,300,291,
739,509,703,332,517,489,365,206,840,615,908,078,033,283,674,306,392,351,091,
068,424,579,436,819,141,255,918,679,502,306,406,204,818,530,480,781,119,154,
335,606,620,302,789,726,328,491,073,439,267,486,699,196,181,036,621,272,780,
616,303,212,586,821,734,870,759,655,897,636,623,581,051,277,930,180,207,669,
354,722,054,131,513,885,015,049,278,323,531,012,075,071,365,208,754,846,910,
230,374,726,258,539,342,442,275,929,861,822,655,417,564,359,302,510,995,763,
911,357,285,870,338,094,144,337,680,882,846,776,411,643,501,471,175,293,405,
773,652,060,683,902,797,277,854,446,217,267,511,692,165,497,345,806,430,584,
608,270,998,379,777,432,231,884,673,382,266,272,121,826,217,393,800,786,066,
469,668,884,574,853,900,189,414,646,279,212,305,010,361,086,422,652,579,693,
691,878,587,976,246,597,729,405,386,407,835,577,907,169,723,849,239,877,713,
283,525,930,873,216,327,293,197,474,963,947,167,650,192,551,810,477,340,437,
593,117,175,431,531,917,792,962,906,970,637,194,523,748,814,639,880,361,032,
453,762,338,897,402,195,171,169,078,703,625,797,142,171,644,891,612,427,066,
963,099,008,226,237,769,583,786,564,987,734,194,151,037,729,408,916,351,835,
841,870,500,481,291,929,264,122,842,862,500,505,876,082,937,987,080,808,970,
461,695,175,629,363,171,712,796,576,291,974,012,218,408,378,523,479,935,621,
772,496,028,320,460,658,234,856,512,430,102,968,471,433,088,664,751,375,828,
095,327,480,550,547,430,960,922,585,855,207,180,639,497,366,962,680,403,244,
277,526,472,585,638,200,640,875,906,639,478,437,125,762,048,990,211,834,079,
606,782,441,431,156,501,006,959,291,412,636,361,909,699,405,287,806,437,847,
657,164,262,433,039,592,868,782,545,903,035,726,164,723,866,082,959,578,721,
487,661,448,741,310,936,243,322,208,354,376,503,122,093,051,782,330,630,884,
587,599,269,102,832,146,794,552,802,238,165,481,060,593,352,708,604,351,589,
877,940,621,667,570,248,188,470,084,923,631,356,815,227,179,085,791,232,521,
033,278,958,632,083,434,933,831,838,834,370,157,504,975,407,038,515,268,303,
066,498,321,581,669,317,398,894,792,082,497,030,812,929,250,567,988,113,690,
218,579,639,145,667,617,739,698,375,912,061,098,522,440,314,838,958,484,424,
839,655,367,460,266,428,750,837,908,927,512,301,176,847,208,688,753,329,745,
853,041,119,321,823,679,510,255,155,572,050,540,230,063,020,627,363,572,579,
723,656,300,200,007,971,199,160,638,555,738,214,686,337,768,529,229,763,961,
540,993,344,720,707,051,758,194,599,055,436,441,544,417,249,564,554,230,261,
748,863,443,585,991,411,367,604,334,473,416,196,076,374,518,228,814,928,358,
617,966,695,975,075,253,693,553,350,256,255,506,080,561,882,888,010,614,777,
897,376,605,896,155,537,911,738,063,138,510,289,930,913,713,499,193,289,285,
051,365,966,578,318,750,252,246,226,288,643,383,563,346,804,357,439,741,412,
435,123,225,679,670,167,535,296,527,827,398,694,057,529,782,403,730,546,857,
253,980,533,909,847,141,756,113,990,190,098,559,241,937,756,436,123,478,062,
589,691,926,452,527,571,511,800,323,076,911,601,722,153,951,970,480,323,387,
743,984,808,935,150,001,344,367,866,451,948,468,035,939,676,496,149,486,175,
565,122,164,730,196,533,217,495,463,461,439,177,398,415,509,837,469,265,381,
900,143,369,586,944,858,246,199,746,964,639,447,522,282,935,569,558,853,364,
153,671,286,049,083,526,150,570,898,655,942,803,156,108,004,513,787,616,193,
447,427,808,736,344,052,358,143,126,121,098,982,503,544,318,615,866,318,928,
278,263,865,915,176,533,065,733,503,156,744,904,991,767,587,343,241,614,504,
246,393,230,561,795,752,417,048,170,658,351,297,261,473,310,456,484,193,475,
595,929,330,608,876,467,232,773,413,224,946,631,063,295,669,563,049,358,215,
089,793,552,883,595,651,914,302,279,978,865,772,570,303,068,222,578,995,739,
632,174,872,668,792,696,818,392,425,130,682,927,608,918,103,748,394,458,138,
912,040,224,872,435,108,471,747,120,233,312,351,111,202,249,091,262,132,544,
124,231,125,092,524,926,716,428,575,242,220,425,761,909,823,599,457,381,005,
957,728,628,602,893,198,037,079,760,683,112,354,459,869,547,028,604,591,288,
082,598,074,594,868,395,689,512,088,563,563,428,654,397,346,690,826,317,896,
749,428,819,584,056,285,763,191,069,295,227,420,212,288,212,931,499,729,481,
678,025,700,546,613,785,509,923,714,723,074,465,035,362,896,304,275,304,423,
309,933,338,375,317,284,972,768,762,019,063,552,537,450,571,038,750,267,276,
312,751,023,282,766,958,726,817,139,623,392,738,400,471,434,118,592,008,021,
036,531,366,219,537,592,665,666,102,126,648,837,002,764,795,396,939,489,426,
125,523,197,034,116,442,064,879,664,027,240,225,976,821,069,415,750,887,286,
885,427,308,847,117,701,810,508,734,163,913,795,077,647,998,683,836,201,673,
995,232,293,777,669,843,799,498,966,405,822,662,589,137,049,006,533,150,746,
479,919,152,940,162,249,269,303,717,099,475,376,702,217,493,857,865,578,768,
927,670,959,931,969,448,874,086,865,106,586,385,017,508,468,883,190,844,493,
974,135,684,340,835,946,690,552,414,553,786,625,776,448,227,513,657,979,683,
462,098,244,802,893,398,868,000,766,621,387,624,604,462,879,426,346,162,644,
537,931,073,019,457,848,230,850,973,260,520,578,004,780,804,632,178,379,068,
087,501,433,028,170,892,209,754,408,235,487,108,128,927,108,582,040,551,050,
510,983,842,697,974,154,673,563,414,065,968,256,175,015,948,821,875,879,852,
156,052,740,366,106,737,139,221,472,177,974,151,014,209,581,276,981,386,126,
520,694,996,235,388,986,938,560,339,986,120,880,962,667,683,585,229,852,258,
144,710,395,951,124,516,942,267,837,280,719,731,396,142,862,587,736,646,547,
447,542,848,451,378,071,607,220,220,707,050,282,315,202,663,715,682,940,039,
318,051,768,570,494,269,075,786,618,866,678,987,771,904,871,286,436,867,377,
664,202,316,324,848,980,863,957,358,669,368,672,040,364,140,497,204,569,700,
808,112,365,088,210,739,104,881,416,638,694,169,939,960,291,601,826,107,473,
887,473,759,352,351,138,735,727,907,080,680,338,593,657,749,366,910,981,180,
298,469,477,163,507,230,501,548,497,132,894,330,631,566,023,764,808,685,306,
421,194,810,260,279,536,111,812,138,876,193,893,741,097,135,291,317,947,669,
818,344,522,396,842,302,196,670,669,785,853,573,631,293,097,125,892,607,985,
853,027,233,979,327,579,453,181,899,312,829,254,210,261,990,488,437,761,144,
572,768,080,881,279,258,277,397,584,906,924,193,543,183,950,439,849,461,220,
318,340,591,046,033,739,301,208,537,467,755,069,520,731,855,524,529,559,287,
189,777,243,151,957,172,634,403,752,426,734,547,463,124,986,449,943,161,027,
651,917,707,195,125,630,381,362,205,240,263,386,205,183,791,871,156,658,164,
231,979,961,966,973,146,424,268,175,605,524,586,740,964,071,325,914,670,703,
737,556,359,525,886,018,986,550,387,964,060,484,698,901,700,977,222,057,461,
016,436,575,744,808,127,708,727,495,981,009,662,646,634,551,110,662,547,401,
377,167,314,705,302,399,018,488,762,200,602,938,480,539,111,370,940,341,318,
054,093,858,414,327,717,693,589,136,888,594,698,482,004,605,570,736,762,605,
557,605,034,642,046,633,125,734,235,286,077,618,515,162,247,499,951,750,413,
481,374,389,963,766,723,198,816,226,112,893,432,313,231,549,009,259,397,194,
397,799,819,369,236,964,751,286,946,702,464,652,165,092,678,510,540,171,291,
948,241,389,893,020,297,298,548,269,043,332,397,076,058,254,322,079,966,051,
351,963,310,061,493,105,706,090,969,933,048,887,484,814,523,817,965,467,703,
693,280,261,672,557,684,981,957,129,834,762,130,915,894,394,336,219,396,294,
047,278,348,376,125,200,220,223,039,727,166,484,836,128,204,644,827,173,032,
794,126,925,552,581,172,514,457,891,902,539,064,867,556,764,807,027,640,865,
379,403,547,242,682,621,509,413,433,175,456,261,292,343,609,891,026,739,638,
723,318,106,918,305,219,800,202,683,912,308,248,845,828,577,645,037,669,173,
782,234,733,802,144,991,005,186,373,020,033,934,202,118,953,482,074,863,507,
024,991,519,027,377,409,910,612,747,344,798,969,375,181,188,915,794,856,208,
622,182,346,791,537,604,917,523,492,528,708,351,782,062,208,599,777,423,391,
274,523,490,273,803,554,859,646,701,590,183,486,431,289,343,249,009,286,301,
046,738,590,088,366,269,160,514,410,586,096,599,752,635,865,747,106,929,356,
616,776,205,326,411,559,093,271,559,025,381,395,582,364,665,806,542,192,772,
750,228,803,069,231,667,014,287,826,208,257,036,771,233,584,016,171,823,551,
714,218,167,376,020,391,316,385,797,796,721,549,664,564,480,433,069,023,759,
312,665,095,621,979,900,745,519,895,093,759,285,479,461,201,542,121,831,577,
620,285,206,055,333,609,883,553,533,965,749,051,152,545,290,256,177,462,411,
781,931,286,176,720,769,204,472,660,145,108,490,076,606,862,213,915,679,454,
387,365,040,382,961,519,740,902,768,329,244,999,080,257,652,957,637,572,370,
093,021,782,171,491,088,910,771,113,444,382,686,973,025,782,039,536,300,575,
658,988,679,282,557,962,247,337,158,859,271,870,135,169,478,423,883,075,435,
519,559,093,525,245,588,469,238,592,498,730,188,932,052,985,741,995,712,161,
149,036,927,441,806,679,995,298,897,600,051,081,388,694,742,364,902,401,756,
774,232,390,530,879,378,742,731,306,184,375,995,784,545,715,057,907,046,557,
659,701,500,646,269,770,188,944,231,638,782,215,756,670,775,352,541,607,627,
219,860,974,127,059,240,162,028,220,795,850,390,585,872,166,534,856,753,887,
951,949,719,649,056,138,170,842,231,154,020,472,752,359,934,075,507,682,618,
784,080,630,763,238,617,698,271,008,034,714,179,857,758,292,928,151,113,802,
633,856,683,000,158,197,825,959,817,855,137,338,013,269,214,248,817,167,546,
654,925,010,213,332,425,169,722,417,075,464,087,787,803,453,029,079,729,945,
216,273,942,502,965,852,606,438,104,053,132,799,421,995,465,167,907,239,909,
274,429,514,775,515,392,732,889,012,871,147,276,439,767,037,521,189,876,037,
561,351,413,534,857,733,379,753,788,947,952,927,734,034,330,656,839,202,586,
157,390,923,161,562,216,332,489,402,378,481,398,693,044,310,096,042,169,150,
849,150,476,585,953,477,426,582,517,104,345,637,179,001,631,254,635,857,876,
757,586,971,129,251,794,846,044,753,206,367,622,830,415,916,427,927,759,154,
496,796,833,360,043,726,348,415,011,616,760,750,885,136,599,179,693,486,104,
329,014,841,108,809,368,272,511,103,300,531,269,753,113,285,066,721,169,411,
821,287,643,083,989,983,359,998,325,999,194,874,520,229,394,887,716,432,881,
455,627,986,445,863,775,175,241,264,978,174,605,289,279,653,864,862,167,687,
436,458,420,171,663,257,730,851,512,577,729,735,399,856,717,701,745,435,404,
356,575,691,268,141,813,767,247,507,270,515,843,804,037,996,863,231,834,564,
511,731,826,230,647,638,108,670,531,437,714,538,278,220,488,718,670,862,347,
167,598,234,868,863,784,956,876,468,425,823,900,674,684,007,015,711,460,719,
930,365,280,678,166,487,898,043,934,559,553,041,951,274,222,350,352,687,541,
845,275,994,038,328,775,111,983,673,111,042,544,856,706,456,742,284,306,953,
570,086,653,631,736,815,081,181,605,144,803,288,372,537,350,511,255,546,270,
731,941,753,025,974,053,971,814,340,193,283,381,264,889,272,049,904,959,311,
635,104,942,892,570,657,804,113,609,704,416,648,736,464,119,278,212,882,432,
736,071,953,229,694,990,121,571,717,013,961,252,885,740,154,150,654,147,252,
157,308,956,597,852,337,975,105,686,417,120,692,907,332,578,395,538,013,472,
036,146,203,319,564,809,517,475,938,856,708,063,290,827,054,307,299,928,801,
555,270,802,833,861,201,126,469,823,653,070,834,091,606,125,296,906,227,405,
669,281,154,190,801,662,774,355,529,306,390,134,083,005,817,407,919,014,713,
142,893,812,127,416,775,394,264,828,687,849,647,134,902,127,647,445,640,072,
392,248,668,608,761,914,384,320,472,038,454,409,068,668,193,886,706,392,847,
856,674,346,770,205,175,839,566,756,488,397,720,164,983,907,821,516,432,971,
287,146,296,761,088,480,791,459,262,692,390,183,871,810,968,494,359,375,205,
711,012,341,559,066,280,346,741,729,157,720,703,570,242,995,777,443,029,594,
928,140,295,825,354,917,193,269,904,736,685,462,577,040,607,438,423,219,528,
545,285,602,710,251,329,483,868,206,556,331,406,155,983,835,803,031,393,694,
058,955,601,069,622,890,795,981,912,631,735,908,532,954,683,156,306,367,402,
124,856,094,320,859,676,673,239,155,299,466,554,488,699,889,538,906,543,900,
370,051,528,592,999,587,348,474,423,520,232,446,537,204,685,107,738,716,766,
317,634,929,093,862,835,428,251,516,378,052,300,935,417,821,035,379,963,743,
257,938,236,973,005,137,767,547,967,667,225,080,697,895,387,381,385,075,825,
014,437,172,049,148,283,337,289,676,351,141,354,030,901,195,217,107,338,031,
970,838,700,137,251,838,211,974,755,776,018,693,381,693,040,877,907,691,941,
677,002,895,332,675,206,803,805,987,367,361,423,633,779,367,406,231,029,228,
782,169,645,286,654,314,061,518,543,151,944,528,704,866,855,178,023,349,350,
143,434,217,630,847,796,669,727,582,057,568,986,655,627,685,091,898,130,667,
471,044,006,058,963,199,713,448,130,826,194,143,996,402,773,095,832,731,667,
217,743,285,347,473,821,789,225,198,798,927,771,714,467,936,389,532,187,591,
762,533,432,250,892,479,315,738,708,196,113,702,157,416,111,660,530,723,606,
750,828,905,734,245,799,311,816,783,870,373,422,720,530,498,186,939,980,450,
885,975,196,781,027,880,505,309,101,142,329,910,297,616,735,320,626,321,930,
419,178,095,421,115,582,093,199,436,742,505,041,658,504,555,086,208,967,766,
426,048,676,537,708,206,806,945,658,082,646,144,215,049,140,482,628,320,141,
661,022,844,509,326,583,960,255,267,875,112,889,488,999,960,680,541,019,466,
724,326,239,864,134,000,279,820,003,600,552,877,212,016,312,079,526,671,509,
839,472,117,613,146,914,164,419,720,573,984,670,584,305,863,273,214,550,345,
978,866,838,161,130,905,107,389,734,980,505,270,383,029,911,371,600,423,561,
194,288,461,956,298,949,181,120,031,105,508,366,666,213,363,136,439,206,725,
692,688,015,541,502,800,246,007,417,913,153,127,853,211,681,402,384,085,643,
925,743,577,804,074,970,797,531,489,809,424,413,968,608,454,565,215,918,059,
192,030,638,616,402,160,045,284,317,705,457,493,998,932,693,053,549,166,006,
118,513,302,417,627,747,847,989,380,211,413,865,409,167,045,697,881,290,828,
654,246,822,449,626,661,717,976,583,463,197,898,265,500,539,921,323,073,396,
045,798,503,842,496,004,529,571,261,947,771,841,239,123,992,202,000,575,716,
958,080,232,369,508,288,861,742,463,298,901,433,035,285,590,357,132,408,770,
962,013,749,791,793,191,590,002,251,418,252,714,376,543,701,291,272,852,360,
523,604,787,714,564,678,324,696,959,008,805,087,371,552,514,507,386,963,210,
512,258,935,847,199,225,019,359,341,647,259,903,806,954,202,586,946,960,058,
659,869,297,004,566,321,112,139,227,896,393,919,097,891,250,631,818,987,080,
866,099,326,501,008,185,190,080,738,879,766,393,737,709,879,351,315,785,007,
317,348,190,370,554,914,192,205,226,353,874,352,445,823,354,299,266,876,619,
784,944,808,106,277,929,854,976,474,510,538,060,370,589,506,135,901,535,065,
712,207,965,184,901,450,935,492,784,986,813,233,729,248,822,286,075,558,126,
306,364,512,610,252,268,027,628,277,920,317,175,401,556,409,978,047,288,846,
880,976,916,410,958,734,410,419,710,684,740,017,437,787,544,069,099,830,515,
520,193,643,473,226,148,208,966,279,071,310,224,579,063,532,762,665,124,993,
229,143,137,001,432,015,766,222,240,177,335,313,978,950,413,574,905,645,799,
907,539,416,422,503,971,833,479,441,938,399,681,876,057,631,098,285,613,407,
507,890,905,738,030,108,000,319,580,905,561,891,134,619,071,915,047,527,932,
434,519,179,613,671,047,319,945,486,231,723,420,422,806,853,101,743,625,438,
328,194,134,754,443,608,285,679,139,463,550,756,909,486,676,094,460,401,025,
656,358,975,685,572,582,923,301,262,534,553,742,411,195,690,190,124,284,045,
244,332,127,886,987,086,192,945,844,027,341,038,312,274,303,808,386,494,859,
815,959,171,742,505,808,996,830,520,492,179,572,128,086,785,330,602,606,892,
259,654,010,579,624,219,995,578,538,079,186,793,117,435,579,847,964,501,916,
780,263,156,392,510,945,695,297,474,746,232,426,033,009,962,039,401,763,008,
091,330,108,720,067,102,838,677,436,356,833,823,032,377,221,064,289,552,714,
041,885,881,440,264,358,897,786,622,752,514,028,128,296,615,342,183,209,023,
515,042,626,586,844,361,126,234,308,519,501,422,999,438,680,760,089,893,079,
009,352,227,907,633,411,008,942,258,174,116,189,018,566,135,917,770,313,274,
235,743,890,677,356,667,007,193,012,766,198,245,932,112,575,814,969,169,097,
344,949,982,141,944,482,166,798,735,640,036,196,497,501,383,718,764,246,280,
086,877,169,770,577,155,352,130,240,394,108,632,576,238,133,038,159,584,974,
783,156,663,403,084,218,904,653,252,215,030,093,124,359,894,188,345,120,426,
234,426,174,226,268,747,023,411,502,233,739,896,141,854,228,511,062,873,265,
869,055,999,004,527,360,044,332,469,231,265,313,032,863,743,924,088,876,071,
694,111,724,336,233,230,751,249,767,379,668,911,814,138,779,754,443,669,589,
623,222,844,894,980,881,170,157,491,616,442,695,332,997,741,103,227,912,507,
988,004,900,524,456,008,909,845,311,985,271,684,677,758,036,944,451,766,441,
534,172,631,483,143,907,280,681,373,179,433,632,019,364,042,562,161,334,240,
637,008,835,839,090,222,051,826,704,496,591,420,665,240,198,312,060,211,734,
970,389,526,512,420,072,169,525,352,032,164,438,189,411,058,318,225,385,601,
000,897,039,800,353,861,708,844,283,797,308,874,839,290,050,069,990,902,683,
478,785,978,321,365,804,499,976,377,039,276,104,938,372,371,328,820,194,487,
309,437,744,766,226,114,547,105,611,589,064,089,433,781,079,024,168,527,420,
967,634,749,002,001,488,370,294,618,418,474,517,818,973,339,992,250,999,453,
521,785,030,017,307,661,348,605,762,246,285,353,725,293,583,624,107,054,638,
793,700,958,635,492,276,929,694,724,523,519,208,588,258,723,130,110,876,273,
324,374,196,291,971,956,478,031,896,109,212,013,825,324,012,487,262,632,402,
324,015,812,448,474,614,637,716,628,562,681,845,825,453,513,304,108,884,308,
945,796,473,998,812,563,891,620,722,081,818,422,689,452,457,364,511,559,639,
526,084,839,302,638,639,549,184,400,676,734,871,256,285,663,915,313,670,755,
740,023,220,863,444,644,661,989,389,391,128,136,761,768,913,344,343,093,153,
347,061,290,575,338,375,578,814,217,444,141,070,094,053,422,540,250,387,911,
288,291,564,700,727,130,931,803,601,789,511,994,416,450,847,528,900,865,201,
825,541,590,915,956,482,749,330,071,171,888,220,145,540,935,572,889,805,750,
843,011,346,666,363,090,516,743,148,413,305,143,984,554,831,174,989,578,231,
286,635,592,955,327,425,647,658,010,627,601,383,717,625,433,078,582,671,514,
747,473,476,686,645,618,721,760,479,638,199,967,776,200,421,862,774,985,630,
176,845,029,724,719,740,133,342,452,975,371,030,979,121,442,111,088,161,447,
574,695,765,482,111,543,478,089,521,171,503,437,130,614,013,982,822,702,854,
660,425,766,680,447,662,192,956,110,495,532,169,743,221,265,020,857,068,822,
959,873,005,496,964,444,126,794,893,452,748,731,580,900,670,408,470,484,972,
972,342,780,110,446,107,809,227,296,471,708,595,710,312,401,012,115,719,767,
383,557,421,933,143,050,433,448,296,380,959,985,292,977,893,382,843,246,103,
260,464,658,687,107,051,097,188,558,218,008,545,832,783,553,419,179,221,655,
219,111,229,589,122,163,019,202,074,132,409,138,068,863,428,154,022,089,008,
108,838,361,840,146,821,072,382,594,016,903,811,149,352,346,311,067,315,243,
511,187,692,437,270,711,472,534,902,469,736,684,802,029,878,486,308,277,219,
305,456,192,502,157,013,185,090,124,360,032,703,034,656,406,174,801,348,703,
078,488,375,877,235,960,176,077,988,315,521,110,108,863,058,180,754,231,217,
959,671,102,935,765,775,982,275,553,445,702,826,547,813,733,419,223,052,154,
332,396,580,592,973,472,425,996,674,368,701,383,237,801,156,715,502,966,659,
811,220,911,353,618,752,455,722,879,405,389,763,335,243,252,104,472,765,965,
376,788,222,089,526,323,283,500,325,166,555,393,986,257,159,258,527,088,789,
607,364,893,664,402,197,903,699,471,364,848,545,161,029,070,193,911,487,192,
636,564,731,867,719,961,416,664,300,498,602,612,805,366,720,985,698,669,823,
950,523,157,121,590,040,663,584,809,744,240,785,034,108,410,479,144,896,410,
768,329,204,769,205,601,686,526,518,840,364,918,606,093,715,040,868,883,173,
493,692,550,587,921,322,459,060,156,646,334,321,362,691,518,746,534,588,962,
919,725,011,506,212,422,479,665,649,675,669,235,944,333,489,587,450,388,150,
853,939,386,917,969,043,763,204,997,368,211,100,411,807,638,819,118,764,826,
694,374,409,627,810,169,231,909,708,075,370,206,756,975,004,153,520,413,368,
746,296,398,906,275,285,033,804,049,165,865,567,408,520,609,720,724,116,696,
857,613,026,206,602,171,001,589,727,575,702,696,542,772,893,302,678,171,041,
030,811,758,003,887,811,059,380,398,579,297,218,651,705,373,882,182,648,438,
478,180,079,430,614,763,406,726,771,684,089,027,776,584,763,983,878,288,939,
036,418,469,921,515,594,377,941,100,323,180,778,852,223,739,440,956,130,875,
842,108,442,181,665,692,485,189,204,801,782,526,995,684,578,269,455,931,068,
837,098,640,845,487,552,484,386,791,853,813,673,444,309,300,923,369,268,751,
923,439,875,501,768,496,148,445,214,533,672,442,201,951,288,808,611,124,935,
849,980,952,119,846,518,750,845,055,934,152,271,822,988,790,442,915,431,045,
023,643,136,559,508,635,728,382,598,106,977,507,344,083,581,987,507,057,161,
206,282,998,446,575,770,287,352,360,857,364,289,115,095,859,868,243,087,613,
701,394,492,883,590,698,328,263,496,146,363,219,054,379,195,545,522,308,530,
042,822,652,160,600,640,305,544,063,588,279,198,946,815,736,197,520,090,248,
730,314,837,847,262,843,424,868,505,404,908,275,636,765,658,373,081,629,152,
793,436,288,762,311,525,043,441,924,829,162,441,008,330,083,712,207,985,630,
002,753,605,010,240,727,120,795,470,515,805,006,712,163,606,867,082,871,998,
194,857,010,208,125,707,745,008,891,959,357,382,664,632,079,989,965,376,832,
963,287,719,832,741,375,560,309,831,338,795,001,110,797,453,349,111,230,259,
045,613,145,101,902,393,666,892,467,843,794,164,098,971,492,987,485,422,445,
930,662,221,239,914,092,135,939,029,567,699,412,018,942,400,203,275,991,261,
317,855,517,103,664,592,474,324,415,039,603,613,820,849,794,493,737,769,972,
006,585,509,403,001,493,192,879,998,706,580,626,655,228,476,875,907,983,197,
314,302,123,646,931,045,799,735,464,757,864,217,646,906,248,607,273,947,730,
846,092,146,369,277,398,380,637,675,502,020,651,839,379,770,707,847,901,744,
924,571,957,634,371,437,784,480,396,526,718,925,055,293,698,220,179,059,685,
100,619,162,867,571,911,748,665,690,386,921,083,105,442,868,123,933,020,760,
252,502,071,922,753,647,615,644,060,558,615,124,354,830,936,817,617,024,554,
627,956,091,761,644,978,471,227,128,545,282,125,319,350,454,559,363,604,910,
170,095,268,059,244,642,633,763,156,169,033,155,771,773,386,460,249,294,199,
627,676,395,183,989,833,333,923,915,189,291,264,298,913,386,520,422,927,795,
608,909,800,258,152,159,518,101,774,503,134,805,897,167,504,889,470,660,376,
212,633,693,561,970,594,642,778,137,438,723,228,010,649,317,207,181,195,527,
146,435,427,780,140,747,581,338,212,291,321,826,217,445,924,576,556,375,244,
711,741,358,713,537,134,737,689,959,784,515,128,730,456,118,202,984,123,883,
168,204,354,246,020,793,466,919,196,314,445,456,210,242,859,020,614,924,746,
481,975,042,215,934,328,011,181,457,726,288,174,610,057,352,851,760,312,351,
788,564,094,189,092,035,979,750,876,526,250,625,437,423,577,817,080,985,516,
780,365,898,921,563,719,206,612,542,240,300,303,235,226,539,298,799,910,652,
959,443,954,220,664,090,432,018,645,698,949,561,272,645,477,872,126,334,005,
401,878,659,521,165,840,664,415,836,895,995,859,844,844,162,057,900,970,962,
005,482,987,346,058,231,300,234,426,375,888,337,412,873,126,492,745,614,783,
223,738,108,970,466,157,771,765,183,012,509,064,380,645,007,990,783,730,919,
197,769,782,075,935,753,973,806,639,499,464,586,553,001,776,220,917,382,967,
357,527,691,112,694,375,291,330,460,764,957,582,906,952,972,856,550,276,526,
601,985,079,320,112,783,440,905,162,950,395,315,524,490,284,573,915,805,427,
659,259,223,846,968,790,273,726,297,932,724,933,533,011,697,175,543,567,812,
487,069,552,262,908,618,990,377,781,830,483,191,150,038,983,007,040,056,798,
422,254,647,963,772,392,905,951,089,894,104,402,928,164,698,568,234,350,163,
325,796,757,194,146,903,595,785,943,766,681,747,988,790,055,165,161,121,789,
510,982,307,468,228,414,994,204,354,816,599,944,152,278,745,569,490,859,103,
366,400,451,289,733,726,400,244,139,306,094,393,105,765,947,146,211,640,509,
054,300,486,930,894,640,009,131,730,269,000,387,599,915,669,150,036,882,452,
524,323,499,643,256,580,994,161,180,770,023,461,959,425,189,562,792,742,896,
318,086,867,240,259,280,284,811,760,639,018,220,947,318,364,119,465,773,702,
110,661,891,823,725,402,708,866,657,391,246,458,170,814,297,236,508,712,185,
454,774,668,828,781,153,572,617,599,201,345,508,379,269,765,664,462,270,882,
741,395,682,869,412,226,790,312,842,295,280,715,186,843,331,469,984,021,262,
021,679,250,640,256,521,364,683,843,718,971,049,869,862,717,613,547,149,191,
782,038,310,962,113,712,693,687,984,124,960,828,902,487,041,358,656,507,172,
382,897,840,475,028,966,443,590,266,980,030,502,337,124,536,817,054,193,276,
988,842,747,777,596,547,125,646,923,889,924,080,054,872,634,262,783,576,515,
450,146,671,688,097,188,829,690,180,787,814,766,005,857,014,735,368,394,690,
257,615,140,129,954,993,129,047,238,129,611,604,895,718,010,489,656,955,973,
696,130,335,519,672,626,637,303,332,484,499,010,542,942,513,675,370,610,566,
795,286,800,214,663,908,458,553,785,603,162,782,232,662,964,241,530,313,438,
518,403,794,351,981,676,105,074,408,835,119,684,244,801,508,614,870,598,609,
963,247,311,901,889,599,481,524,031,574,986,826,713,977,780,141,937,993,303,
682,957,641,282,810,420,420,840,759,335,203,593,401,638,796,239,555,792,338,
261,249,082,310,437,907,006,842,589,972,166,435,641,533,549,256,612,977,687,
027,815,737,711,583,959,349,084,514,300,213,707,397,391,053,013,021,220,772,
709,737,027,372,886,876,019,599,742,255,178,526,839,081,781,429,134,133,961,
144,595,685,720,111,260,009,976,677,543,016,063,383,806,336,678,542,528,568,
992,843,559,235,253,188,768,295,295,502,942,413,928,469,307,889,436,175,353,
092,858,841,956,539,847,204,444,302,908,645,867,543,158,166,736,581,768,834,
631,246,700,313,249,116,639,247,081,988,388,437,570,801,423,129,623,661,770,
062,509,504,315,018,778,468,190,888,750,171,670,635,810,307,137,713,689,132,
390,031,189,693,755,988,814,099,311,502,099,976,170,187,243,556,104,125,057,
823,864,869,233,338,990,861,272,402,563,538,211,946,493,378,608,600,514,211,
204,649,337,056,102,773,829,012,077,315,169,038,857,830,180,862,525,412,850,
423,904,026,594,741,558,434,549,034,278,789,550,112,218,383,813,684,867,067,
818,149,529,971,314,840,248,942,759,370,992,273,666,660,184,620,256,725,128,
338,067,181,887,763,010,215,693,987,286,183,255,503,690,049,792,015,596,464,
452,309,045,628,467,735,827,452,053,302,893,392,624,223,839,779,862,499,696,
097,229,596,381,571,273,616,972,224,590,339,005,682,620,963,288,471,170,474,
684,199,091,108,822,254,210,181,984,103,754,114,343,862,618,046,426,667,576,
999,743,188,035,077,371,776,497,333,557,205,618,058,821,152,069,264,229,735,
969,309,489,313,759,821,353,127,578,467,662,907,041,137,189,218,510,823,967,
980,596,788,000,480,192,734,831,387,391,869,229,742,396,011,260,707,417,085,
869,905,657,530,489,315,683,797,224,165,920,769,125,413,332,524,414,822,767,
217,354,542,629,134,097,793,229,803,509,750,789,174,271,787,827,902,216,136,
407,720,319,354,608,107,582,469,381,416,787,382,650,321,005,681,052,075,038,
202,225,722,282,491,834,835,208,293,232,326,920,806,549,836,894,979,603,354,
982,221,894,835,670,119,598,993,609,132,394,852,944,413,348,929,854,612,326,
129,963,653,407,799,269,502,011,920,729,383,839,655,451,857,601,012,222,181,
337,832,654,516,804,515,305,660,664,345,587,198,058,902,249,714,286,289,777,
943,647,548,574,056,909,983,120,266,349,425,706,691,176,980,490,712,156,098,
485,345,109,425,652,952,944,328,688,582,445,296,019,790,102,033,093,498,499,
198,505,093,047,035,666,229,629,371,068,908,433,911,078,084,732,074,191,365,
739,464,572,142,831,026,875,681,668,044,142,155,320,492,895,626,649,117,196,
360,652,554,643,626,359,547,067,640,111,801,153,951,219,649,785,199,168,550,
809,557,060,739,846,632,548,357,432,356,353,126,271,863,373,509,463,635,346,
980,677,545,822,692,164,463,802,139,344,729,450,817,720,411,722,440,224,982,
289,987,854,968,577,540,301,482,612,936,581,537,789,820,089,368,916,367,027,
121,188,369,496,892,443,563,190,943,696,281,383,502,638,080,312,048,426,159,
225,222,834,822,756,161,481,521,207,528,066,144,739,272,370,767,667,773,182,
528,412,250,210,871,929,953,463,355,332,812,446,896,584,940,897,878,350,436,
696,730,748,729,427,310,991,797,202,670,497,140,744,279,351,008,157,476,449,
447,608,142,857,577,740,089,707,922,985,509,973,695,490,733,487,791,494,391,
485,795,291,772,027,174,018,407,829,842,372,950,430,578,262,337,316,394,966,
957,980,426,452,952,464,717,637,144,725,166,315,427,968,085,341,236,236,300,
666,087,502,230,486,182,635,321,952,268,947,349,546,950,482,607,362,640,587,
981,429,150,336,700,929,032,705,455,114,182,829,659,819,255,831,880,224,580,
408,063,179,882,351,806,678,447,862,286,993,411,281,259,089,523,170,919,004,
926,614,277,267,659,540,520,381,957,232,350,499,495,960,954,208,435,432,158,
372,507,552,338,665,064,213,488,525,062,430,681,140,097,084,338,879,060,564,
519,885,127,326,013,551,483,398,887,368,693,673,953,865,976,253,640,720,217,
922,511,320,004,513,187,625,490,424,940,862,973,438,946,297,311,599,276,770,
384,738,798,087,524,391,884,550,260,122,139,550,649,422,033,078,595,834,519,
529,462,775,347,630,674,129,921,886,665,384,549,238,655,552,767,286,582,409,
114,251,227,605,235,638,191,371,870,838,631,316,702,780,502,511,251,599,952,
522,431,680,800,738,564,597,526,532,999,418,464,457,230,185,049,432,635,929,
049,510,197,638,574,217,732,854,153,920,526,041,628,879,167,474,717,559,274,
502,727,753,785,662,341,499,321,130,273,367,685,845,248,117,141,477,624,966,
417,031,737,573,598,384,220,936,293,797,618,088,665,150,155,053,981,599,670,
285,623,163,518,054,921,778,513,164,393,470,935,162,832,738,304,580,709,709,
193,907,587,861,739,872,201,710,737,287,942,491,546,163,454,256,620,293,314,
357,267,324,393,551,552,710,582,134,576,722,979,012,684,834,046,883,080,725,
817,257,728,435,378,366,868,756,386,622,809,511,967,465,468,862,925,598,321,
915,586,432,368,154,313,124,637,221,998,517,510,591,984,334,829,331,610,959,
994,441,324,260,822,480,357,210,641,324,030,218,091,558,749,359,149,685,022,
474,287,651,190,942,325,557,342,338,263,108,950,482,965,579,605,382,082,312,
711,288,664,984,751,707,386,369,079,498,599,446,056,825,055,234,373,486,272,
561,239,881,526,741,820,180,388,253,953,881,009,583,319,179,302,813,100,775,
026,483,696,561,306,217,051,083,752,530,707,050,309,396,330,990,631,022,974,
798,189,127,188,289,641,810,004,792,647,933,238,622,579,746,253,513,884,056,
506,836,749,678,275,744,142,166,818,240,775,903,119,568,813,641,658,049,799,
888,462,349,221,046,946,434,784,911,620,833,124,181,033,657,143,796,982,421,
727,798,638,467,730,598,592,427,135,094,503,603,944,268,272,789,511,987,306,
577,037,680,370,624,074,305,373,552,158,656,631,753,427,816,811,841,866,317,
102,592,753,776,365,975,233,797,846,633,831,166,243,233,268,150,381,567,031,
218,974,292,533,471,226,420,255,708,350,851,179,287,677,589,849,859,464,069,
749,693,342,703,939,143,801,999,013,241,265,394,350,359,472,222,079,915,827,
342,520,874,757,332,331,559,029,891,397,007,570,245,571,018,995,380,662,477,
519,545,079,960,469,665,251,611,116,984,492,671,760,762,649,325,465,775,953,
881,352,960,669,583,311,015,352,136,420,819,769,596,190,974,951,016,253,076,
711,330,453,905,960,428,664,118,435,460,350,192,163,233,211,496,265,525,662,
860,432,307,442,475,079,850,640,985,119,540,974,046,246,146,453,865,747,128,
973,093,760,480,812,519,189,682,322,943,761,108,408,160,788,209,816,200,314,
777,050,885,291,860,532,002,341,682,096,370,017,254,144,995,214,897,060,590,
190,120,803,291,441,012,284,396,798,858,191,660,241,887,898,757,526,115,063,
425,957,056,810,278,238,429,747,654,345,944,644,175,102,636,984,573,293,557,
662,320,176,460,970,399,228,850,902,579,452,533,257,903,494,288,443,491,178,
387,881,495,018,814,219,659,247,604,278,059,685,623,032,824,456,997,018,740,
554,241,779,708,874,798,754,617,884,634,492,984,877,196,143,958,353,479,433,
288,793,934,627,122,422,694,743,144,507,246,691,579,981,955,499,474,737,735,
519,995,958,515,296,586,731,283,019,093,944,647,897,332,833,417,954,638,381,
280,845,039,118,870,054,481,244,186,168,319,736,380,714,278,414,625,593,883,
805,310,340,317,645,517,784,981,914,935,236,690,584,603,081,273,189,610,477,
498,451,598,578,755,002,017,077,015,897,721,512,395,663,563,605,512,563,048,
328,230,651,180,403,668,669,546,621,427,458,550,096,590,607,530,733,416,390,
955,506,134,705,470,700,747,313,807,607,019,054,933,703,347,780,043,238,012,
939,097,155,784,754,026,547,496,109,981,706,341,370,030,888,942,662,697,456,
916,989,920,899,895,010,553,883,523,179,276,975,683,591,241,492,947,750,735,
390,745,432,005,759,874,305,360,141,973,684,291,308,475,940,265,578,601,111,
816,823,263,103,589,391,699,369,109,791,829,921,889,819,664,503,148,055,894,
671,028,963,187,997,872,594,638,978,586,362,305,063,120,866,667,697,360,809,
966,405,832,702,773,087,359,519,590,237,585,236,894,343,591,309,966,613,819,
496,357,147,133,007,195,345,854,000,089,350,210,390,894,746,653,706,673,559,
076,851,778,564,539,743,673,144,148,703,515,482,052,811,188,301,142,306,591,
226,103,824,839,532,955,032,537,116,538,247,467,516,082,647,169,363,547,512,
287,953,786,911,987,394,826,904,811,208,253,446,888,205,626,596,745,310,978,
675,570,344,139,797,088,999,920,760,405,903,675,955,461,308,131,051,592,193,
965,622,862,348,436,102,492,060,839,042,184,183,544,782,350,813,791,401,496,
508,604,208,432,290,260,798,123,552,021,421,430,761,655,921,924,903,239,546,
080,489,018,894,700,169,938,965,934,591,138,289,485,753,050,614,923,095,806,
840,679,902,445,959,291,524,130,849,441,342,303,647,872,349,715,815,718,296,
572,351,277,954,818,069,175,022,104,531,026,894,001,118,234,544,357,282,590,
315,712,031,163,325,107,267,889,370,865,549,476,660,903,674,687,703,585,002,
802,996,113,577,605,231,578,623,619,042,655,738,852,746,416,226,409,760,461,
720,939,765,676,842,136,207,728,707,873,894,275,842,345,355,228,449,525,494,
286,389,150,167,844,283,867,297,476,505,724,787,031,274,117,636,474,987,989,
605,678,147,502,753,813,568,100,811,210,278,028,131,308,838,819,501,874,725,
922,630,142,127,580,676,055,920,963,963,691,668,820,442,756,043,210,858,352,
617,246,860,425,513,515,321,956,384,553,919,497,998,705,070,446,832,571,500,
956,489,118,069,322,773,821,849,301,708,686,121,264,371,902,625,758,907,058,
074,813,460,861,516,326,349,182,481,393,402,476,606,982,476,898,623,000,920,
744,201,585,537,702,667,238,471,806,591,095,834,101,434,947,033,894,805,388,
426,917,126,103,857,778,789,076,767,975,287,658,509,799,063,868,232,077,649,
567,120,957,536,923,417,650,780,537,545,992,846,676,320,459,357,028,906,645,
071,914,401,305,255,378,894,738,067,872,893,276,921,465,569,073,810,026,183,
984,326,976,575,389,997,672,478,095,805,040,534,135,257,031,858,054,573,293,
758,851,823,489,288,780,182,602,358,893,374,511,397,352,599,005,490,606,252,
502,086,568,141,452,436,712,577,476,177,714,794,057,043,419,448,649,937,447,
804,646,283,523,224,530,650,833,819,343,330,600,368,451,831,155,821,337,785,
310,357,285,965,821,236,270,710,050,056,222,561,447,484,473,973,722,302,749,
510,563,496,673,490,603,383,042,560,347,009,853,110,279,754,729,902,990,818,
592,649,514,908,809,473,172,003,034,972,202,514,385,280,835,209,922,951,300,
021,833,377,994,324,962,188,518,212,486,581,696,554,495,475,465,699,549,121,
121,952,617,840,974,080,146,422,617,450,850,549,817,659,335,100,099,071,644,
936,074,688,460,641,670,665,262,303,694,712,809,030,801,291,646,457,727,096,
232,765,471,060,077,145,479,993,159,333,289,636,461,471,977,673,631,006,877,
783,852,754,847,435,647,876,905,537,661,130,847,319,574,696,261,947,135,246,
353,338,611,798,156,430,234,928,053,335,344,496,554,335,411,594,972,772,597,
126,685,504,189,882,381,715,557,744,041,349,569,637,722,734,979,393,144,482,
661,627,853,555,847,560,061,532,006,019,593,000,987,895,216,740,234,900,822,
846,604,830,200,328,585,820,273,796,011,082,947,856,794,204,375,452,790,581,
866,087,503,616,975,000,280,007,978,982,157,982,684,982,240,075,373,612,969,
101,362,390,360,118,074,952,971,714,730,773,549,269,242,044,906,564,175,343,
173,936,503,134,634,890,663,279,758,777,974,215,804,214,894,959,820,700,297,
192,853,390,393,017,842,102,460,881,444,234,242,117,546,543,774,197,670,845,
733,141,701,782,228,420,769,359,580,440,553,543,281,700,061,175,253,456,709,
821,707,705,106,400,883,934,170,839,575,123,278,468,120,204,064,198,928,706,
923,175,747,768,228,968,463,330,117,936,366,337,153,452,408,933,736,125,716,
675,626,361,063,280,033,640,985,410,667,805,187,511,607,410,506,696,016,821,
148,354,958,578,014,011,868,876,788,657,573,781,450,565,769,675,817,289,678,
501,626,939,305,951,372,431,790,510,409,638,404,462,764,135,412,094,992,768,
585,331,173,127,812,616,281,932,374,460,930,370,529,802,268,923,707,012,728,
036,898,511,424,281,407,275,844,625,338,718,315,186,302,100,045,878,394,605,
324,874,641,140,607,757,285,258,365,025,681,062,739,882,236,981,179,563,190,
913,397,453,906,599,188,050,058,717,296,268,079,355,773,013,746,620,893,224,
211,836,554,282,011,203,009,999,747,079,891,434,307,517,643,689,955,744,834,
561,097,622,573,635,015,979,966,868,033,758,655,019,148,625,787,033,251,726,
349,250,219,214,797,757,239,954,315,660,705,667,122,330,375,982,061,782,570,
945,445,451,357,929,343,292,580,986,316,791,562,927,969,317,689,997,951,886,
664,128,029,366,808,702,632,813,389,076,004,156,114,909,802,047,167,198,772,
635,300,480,983,698,676,882,523,171,467,530,640,959,942,278,797,523,183,309,
886,589,693,144,728,060,580,640,925,352,449,478,972,784,751,142,757,632,032,
961,666,648,089,459,232,140,485,120,064,080,933,001,881,906,585,949,595,050,
296,892,185,934,777,261,290,502,627,213,730,939,250,406,602,264,129,615,921,
901,279,255,626,271,027,973,052,187,318,089,471,540,330,457,624,121,792,238,
357,759,645,289,317,070,689,897,469,506,558,491,590,691,104,756,048,535,126,
485,967,575,914,885,699,956,804,943,421,147,194,938,551,500,251,543,007,564,
793,015,635,133,502,441,447,774,344,759,614,677,104,544,937,964,904,228,854,
513,083,507,023,163,329,320,801,173,677,340,435,561,295,812,415,530,265,395,
000,205,812,850,140,976,466,489,134,023,500,986,137,822,301,980,628,305,431,
517,844,162,765,014,262,762,188,630,760,578,235,623,246,035,902,999,220,497,
768,859,054,898,834,993,834,142,543,749,584,038,618,190,830,896,180,413,893,
579,197,091,790,749,270,960,561,014,112,940,354,391,423,486,537,928,770,533,
463,430,757,055,942,557,006,552,084,565,622,134,279,243,903,568,273,721,543,
177,248,931,595,851,328,822,234,132,713,662,036,110,813,542,074,057,945,281,
534,478,818,172,360,179,752,056,927,554,699,175,198,782,331,586,151,608,535,
862,081,641,636,774,320,216,299,185,500,551,851,769,201,873,876,803,091,750,
261,451,547,759,929,427,064,124,852,795,471,117,853,380,650,243,018,923,069,
174,876,317,957,625,774,508,376,097,303,911,699,452,170,979,408,901,820,526,
692,101,297,058,637,562,778,541,827,871,339,602,322,408,793,125,158,341,818,
135,587,338,309,118,247,534,463,238,642,438,359,321,066,998,514,757,883,901,
252,838,617,983,060,304,019,392,226,725,911,578,625,304,571,571,843,373,250,
207,311,966,527,592,617,844,146,092,336,237,096,083,770,844,080,830,803,218,
546,212,219,645,551,715,929,536,072,169,663,087,269,836,661,698,814,338,332,
749,633,553,813,096,443,341,339,589,537,872,982,660,380,396,500,927,330,774,
423,751,340,782,386,940,435,539,334,771,347,548,261,434,751,622,212,692,362,
167,632,684,367,861,594,632,925,259,758,175,563,549,383,265,714,764,148,036,
342,048,731,852,541,260,969,982,345,215,080,846,599,396,570,922,471,163,284,
205,092,970,335,806,213,499,531,532,682,178,604,552,004,174,262,901,264,233,
455,714,503,651,281,250,162,975,462,371,519,390,262,854,503,574,350,240,095,
435,368,479,778,950,826,446,722,586,774,694,499,006,484,582,495,640,873,953,
639,327,926,096,446,056,373,935,795,827,454,816,363,843,638,881,578,431,342,
596,036,935,526,992,973,525,078,813,664,792,183,913,236,799,516,089,841,872,
525,312,329,621,774,862,973,457,623,039,191,274,086,510,583,237,489,835,888,
201,709,629,300,058,154,258,982,908,756,996,701,371,311,811,048,417,769,846,
769,480,500,079,827,155,666,506,623,897,314,377,815,641,881,799,081,834,581,
934,374,939,996,552,029,414,493,237,218,129,804,123,275,646,252,661,714,964,
419,587,520,007,603,515,883,774,126,691,967,123,620,087,900,891,578,913,699,
847,183,980,556,071,962,661,597,834,326,749,176,357,036,244,612,673,520,293,
713,494,580,704,848,391,245,510,876,747,784,261,184,142,490,093,432,851,085,
847,740,677,715,036,105,500,895,003,488,100,634,311,428,980,261,297,339,716,
803,460,422,567,401,206,583,041,165,920,846,695,575,872,514,959,571,700,642,
794,934,634,741,165,588,545,154,991,099,364,765,582,804,364,524,789,495,851,
257,293,338,251,767,550,857,895,364,561,921,438,983,990,425,518,952,302,299,
442,411,325,508,264,430,625,816,623,307,266,017,144,923,552,878,289,586,501,
139,738,655,442,375,430,504,230,608,246,279,734,628,748,661,524,515,425,887,
275,988,006,935,770,500,568,597,265,205,811,108,715,300,606,201,632,716,731,
740,279,426,146,391,030,107,766,758,509,701,783,012,049,084,085,584,289,685,
638,871,394,527,704,508,001,079,550,369,141,852,889,661,547,452,029,074,095,
855,587,805,945,065,433,477,777,226,156,263,538,447,112,028,947,999,185,482,
457,505,239,794,977,357,034,465,254,978,550,512,565,328,696,071,980,979,125,
183,644,216,380,543,718,954,972,954,258,969,771,896,530,248,876,068,344,542,
238,918,892,812,721,381,894,039,038,656,847,860,782,578,249,643,529,861,669,
738,718,802,472,989,075,604,225,602,477,955,275,331,156,741,356,755,333,237,
823,146,231,644,088,283,514,991,802,813,283,262,645,338,385,154,224,931,124,
102,070,761,207,948,103,903,816,123,505,873,858,371,957,667,456,824,314,572,
006,183,371,658,717,236,906,374,896,075,344,245,129,280,775,944,356,896,044,
325,788,830,736,341,553,851,943,832,505,934,870,950,442,861,196,572,196,159,
384,102,410,165,848,095,732,895,258,347,272,184,357,366,801,336,960,174,632,
409,569,280,163,594,976,377,435,257,496,774,107,100,407,899,079,895,539,979,
959,670,866,787,756,445,556,779,489,432,346,305,301,558,890,275,080,583,583,
095,679,475,265,798,050,655,320,470,419,489,077,970,955,955,996,645,605,049,
390,277,475,032,875,058,593,983,977,269,706,340,165,017,146,066,316,298,428,
519,495,253,301,066,166,687,574,283,100,385,015,503,426,553,217,378,430,199,
985,665,703,786,745,076,984,543,704,313,541,819,448,132,916,418,745,309,190,
971,115,973,249,283,288,815,381,633,962,100,105,027,822,689,948,013,644,272,
084,650,230,003,992,871,958,049,110,400,018,547,199,011,548,964,899,042,290,
528,131,366,126,324,727,663,535,989,025,328,183,667,484,623,528,440,936,115,
867,897,129,704,182,412,010,241,878,189,921,551,931,640,481,863,346,706,861,
847,350,900,089,662,103,698,708,223,476,279,268,998,782,620,802,027,176,150,
838,115,463,344,268,284,689,010,929,089,434,302,961,739,882,881,830,983,267,
855,260,200,555,424,940,150,127,794,819,332,873,022,013,693,402,337,444,854,
192,159,947,383,522,840,880,123,961,540,878,823,326,534,856,268,388,214,803,
675,182,428,127,759,036,531,517,776,846,634,913,359,044,188,026,030,708,315,
455,898,273,540,486,826,107,278,138,067,780,633,246,092,914,449,130,204,061,
857,785,804,536,537,559,462,492,398,171,432,029,534,901,873,581,884,318,134,
568,664,668,553,804,010,156,440,543,766,973,017,826,073,807,805,606,831,534,
080,154,722,868,257,336,315,919,967,428,503,765,091,003,562,447,974,536,675,
964,455,391,809,769,029,049,744,978,744,579,710,814,857,845,409,272,611,329,
051,139,587,505,762,763,399,014,679,047,387,825,335,538,623,724,370,311,121,
364,742,563,982,615,476,737,686,851,922,510,570,687,004,933,180,403,116,530,
422,037,319,828,413,039,861,984,038,210,195,668,230,796,339,332,870,263,416,
122,508,582,371,380,691,361,549,718,219,665,485,777,302,007,001,007,690,467,
486,374,902,388,746,175,449,447,403,676,361,787,546,914,635,594,322,720,287,
552,939,882,225,683,357,387,481,851,564,399,049,588,684,274,631,774,446,199,
395,948,416,908,319,198,202,083,304,317,243,939,327,111,004,705,445,863,558,
794,960,355,834,364,783,719,003,613,410,449,108,348,675,904,803,516,740,968,
668,679,338,327,923,195,438,166,897,834,459,446,804,241,809,741,927,781,000,
237,168,484,622,703,838,718,488,310,443,118,124,549,947,889,039,513,548,458,
421,290,710,293,070,085,636,555,855,056,468,625,557,165,339,048,866,177,541,
295,552,402,645,966,195,383,042,831,332,107,120,933,553,003,686,262,509,407,
439,566,441,717,249,848,851,619,883,973,853,986,806,196,840,968,413,273,506,
669,481,744,732,964,025,359,338,758,585,876,427,329,181,694,079,329,209,317,
706,404,289,345,632,639,779,282,152,452,997,275,430,918,126,774,775,970,564,
334,152,497,037,091,064,829,728,518,176,908,836,449,970,365,347,125,119,406,
887,476,045,398,062,710,466,132,870,436,740,939,996,385,282,483,130,820,744,
686,521,509,168,200,070,510,096,457,409,653,972,066,684,842,922,594,465,162,
891,862,802,072,928,881,305,070,407,629,332,593,629,732,254,999,903,599,109,
386,789,222,142,935,388,858,174,218,504,234,522,647,816,106,160,392,445,147,
496,334,764,242,864,445,759,824,825,239,586,020,709,739,961,772,140,516,684,
278,203,253,798,872,098,512,972,829,836,603,068,285,504,422,731,490,145,711,
515,838,064,743,700,219,530,700,802,458,668,570,173,697,685,487,600,251,136,
934,906,289,465,933,674,660,505,952,610,063,396,391,497,131,904,515,305,042,
580,402,949,767,519,378,749,235,731,499,580,855,772,291,267,827,023,646,216,
274,282,543,578,262,449,680,878,318,749,434,278,675,090,717,035,218,625,513,
869,743,398,315,424,960,994,418,699,272,273,617,734,756,103,132,200,074,778,
927,918,321,450,844,380,711,634,255,812,006,250,256,125,983,975,112,198,541,
217,758,669,554,454,252,888,426,696,035,958,938,076,920,286,265,005,841,943,
707,867,737,048,366,399,203,190,592,607,230,460,250,331,743,016,259,344,430,
007,884,697,806,428,054,162,688,939,058,069,109,034,571,297,681,028,320,105,
181,380,846,052,045,891,814,647,479,303,150,966,138,571,489,533,444,527,765,
317,936,922,398,015,856,788,052,891,668,399,265,981,206,175,206,811,959,871,
080,886,905,096,789,468,268,078,952,138,238,581,450,732,652,332,714,651,533,
417,216,756,570,786,105,299,956,371,129,483,170,070,817,901,370,597,204,441,
668,025,911,596,477,758,700,402,069,358,236,505,433,313,833,903,483,996,289,
067,322,453,828,290,822,956,233,911,630,439,977,744,566,697,293,266,067,526,
031,232,399,411,400,020,445,293,820,402,703,337,414,767,835,238,640,924,751,
009,268,375,854,831,372,560,846,923,571,973,253,322,563,805,262,101,953,397,
513,947,678,315,010,139,839,532,717,971,853,390,173,780,046,485,120,540,413,
994,916,719,938,181,111,828,454,642,089,927,212,340,337,384,001,016,537,356,
867,478,991,342,521,170,579,714,153,979,673,705,746,566,632,896,278,272,253,
144,172,288,410,487,056,100,321,800,176,454,418,766,169,465,807,760,568,785,
445,862,171,806,841,743,584,504,821,324,259,661,156,124,980,015,269,559,545,
524,414,294,111,092,964,113,778,239,264,114,940,564,561,640,203,757,973,921,
172,140,485,533,388,298,770,155,334,579,462,456,236,105,639,882,322,326,936,
056,662,555,712,212,851,673,124,543,778,361,301,553,336,477,335,246,207,716,
063,021,037,169,533,905,119,346,711,563,474,452,081,812,501,797,292,272,063,
444,607,611,972,320,538,246,333,775,797,831,707,418,330,575,422,912,152,069,
901,099,625,875,663,627,658,797,642,900,718,916,149,994,863,200,023,133,525,
852,305,420,428,679,960,277,152,308,329,525,817,784,014,616,833,883,434,780,
328,230,153,167,712,465,511,541,262,374,351,704,126,964,728,318,205,773,939,
533,915,824,648,342,981,156,634,265,720,443,579,228,766,120,393,831,390,457,
192,854,528,291,890,074,582,714,234,602,460,284,204,925,696,910,503,381,742,
446,825,055,063,609,433,650,896,293,819,240,686,613,952,192,718,920,455,759,
165,594,187,672,338,616,561,626,158,704,349,983,783,860,536,282,069,210,928,
310,413,599,744,020,744,574,185,562,511,550,165,837,826,594,690,671,248,859,
493,486,636,519,588,913,964,619,505,167,803,803,842,722,337,556,150,829,993,
301,716,355,299,202,638,483,968,586,749,769,283,018,125,896,039,572,935,706,
484,709,734,167,114,116,829,059,165,404,301,397,750,741,848,362,838,073,343,
502,537,919,750,277,878,082,808,925,161,754,282,226,393,593,863,137,564,495,
300,301,251,073,140,110,728,667,769,841,698,441,643,696,131,811,117,640,885,
082,208,919,227,127,054,272,561,596,344,550,514,065,929,673,330,101,163,784,
681,235,527,665,869,967,621,283,385,373,607,545,772,870,205,607,667,363,969,
159,267,297,379,311,649,121,678,183,032,860,874,970,192,755,026,052,754,948,
905,131,394,950,463,914,914,231,420,833,005,213,367,338,504,198,402,369,654,
838,146,869,611,540,998,899,965,216,854,602,616,585,493,756,678,423,723,892,
377,712,764,321,277,864,003,942,693,391,876,380,025,464,045,963,913,585,861,
686,312,659,993,338,375,497,909,910,825,560,213,788,089,256,273,953,283,918,
198,728,547,009,421,976,310,282,850,875,008,597,626,422,124,393,304,783,315,
786,939,463,867,630,474,564,556,027,912,328,739,217,224,051,735,988,519,361,
757,357,993,724,338,409,029,026,498,477,381,940,531,069,018,450,587,923,330,
905,770,411,650,349,589,661,439,383,042,418,125,782,681,341,826,633,836,336,
055,822,806,266,111,317,405,191,772,419,764,154,329,443,788,987,265,978,057,
242,709,721,831,458,174,509,934,798,780,990,271,891,032,752,532,090,514,685,
750,004,014,888,961,775,325,463,626,195,644,645,576,635,278,753,973,972,259,
210,860,247,513,733,171,796,789,509,078,125,696,142,976,866,686,035,261,055,
195,896,000,759,029,461,617,378,398,116,723,149,126,836,608,953,731,721,659,
561,060,095,844,086,995,385,164,014,194,866,878,489,622,391,661,813,948,311,
349,669,923,324,011,875,715,696,094,297,040,965,206,941,351,577,017,670,150,
361,296,018,752,916,297,795,728,919,403,928,258,317,118,914,206,460,001,301,
247,456,979,496,949,187,157,166,711,566,627,374,787,364,491,283,624,548,024,
210,864,612,722,414,646,991,177,929,807,000,739,079,009,263,353,353,212,282,
252,337,011,451,723,660,118,481,377,749,314,359,403,744,677,307,237,655,036,
201,471,295,006,681,298,735,897,620,662,690,916,685,564,181,552,825,390,579,
919,579,778,271,950,993,489,576,467,133,246,825,269,720,842,051,980,729,787,
748,137,107,262,287,597,428,950,723,847,082,580,429,544,931,776,950,081,688,
437,606,770,789,344,919,529,118,691,685,094,675,881,063,190,051,542,806,379,
567,331,066,482,439,610,606,692,112,297,683,192,617,427,329,091,808,047,038,
159,677,858,505,528,430,486,543,746,553,302,299,279,225,400,535,643,578,242,
092,897,500,287,208,559,051,745,192,336,604,562,731,126,214,685,438,915,840,
801,872,550,838,814,467,265,238,746,484,947,424,152,303,621,511,711,882,968,
673,930,303,326,594,117,849,487,220,455,109,278,971,256,827,845,418,754,923,
573,444,386,194,837,917,655,757,625,980,233,009,314,329,313,624,941,063,996,
787,534,087,007,259,146,026,629,272,794,133,657,975,017,322,287,945,715,517,
928,341,297,181,215,144,586,440,013,889,905,838,910,079,040,259,862,266,449,
693,068,541,499,170,353,679,501,607,261,426,007,811,734,260,365,161,030,342,
641,170,382,384,479,578,427,674,926,113,769,725,382,106,878,011,231,644,602,
391,247,402,640,633,969,423,816,985,848,113,695,086,429,013,681,535,661,342,
791,378,847,074,680,615,104,135,211,488,168,010,836,315,065,790,208,973,879,
378,517,952,632,997,069,161,047,846,393,546,390,431,766,459,139,163,331,127,
031,992,292,735,990,766,077,847,989,588,899,284,649,852,547,248,117,295,552,
797,970,466,361,672,966,387,688,513,101,741,122,272,280,399,019,084,591,333,
534,495,675,949,217,975,490,325,161,713,888,417,440,450,509,751,873,181,508,
411,780,473,579,010,368,440,120,564,550,763,907,490,708,250,153,486,977,536,
343,984,276,911,106,007,519,228,602,079,030,622,968,587,484,362,616,790,478,
168,173,911,757,593,315,561,195,314,113,066,332,824,313,013,586,801,717,578,
795,494,568,800,540,405,592,012,526,997,628,507,081,749,795,913,325,582,553,
163,041,161,253,492,844,986,461,293,229,698,853,105,721,593,412,473,929,710,
855,024,832,088,165,296,941,819,346,995,647,906,232,402,298,589,565,768,253,
993,666,750,014,761,672,110,237,608,444,536,331,280,718,525,540,732,520,006,
432,128,782,615,862,176,497,133,398,302,665,580,005,699,513,999,999,559,127,
772,407,849,401,304,823,445,438,731,457,878,565,903,500,112,056,906,979,738,
691,578,802,430,302,392,858,630,498,135,125,910,916,565,466,467,786,320,745,
405,148,065,161,264,228,897,026,544,908,188,761,870,508,926,512,476,957,209,
669,569,093,513,796,132,832,150,573,765,638,036,993,349,193,567,347,140,620,
817,506,177,863,220,883,652,179,671,117,823,181,808,097,046,630,352,656,026,
140,267,492,776,713,371,718,556,317,291,884,810,332,660,737,626,597,214,948,
428,767,965,934,157,947,522,578,539,403,315,080,919,773,767,859,038,435,914,
904,361,548,561,731,505,326,541,283,070,305,081,504,629,307,769,539,872,140,
899,718,303,821,685,534,037,812,442,137,025,896,437,141,112,191,230,053,970,
315,519,910,589,593,432,991,302,179,796,994,576,037,043,020,950,259,523,827,
824,770,308,926,246,459,375,125,013,904,525,181,370,877,095,614,362,443,253,
093,262,269,222,568,974,221,366,238,052,933,052,767,205,572,886,142,793,951,
300,560,667,748,721,553,084,902,925,418,527,799,040,901,155,802,795,088,054,
062,848,896,780,939,845,556,706,396,342,643,430,801,920,224,622,251,217,458,
727,939,095,991,804,981,015,559,623,462,057,520,423,657,790,316,839,322,082,
320,581,055,260,804,266,296,870,299,705,663,020,007,642,978,184,536,346,954,
737,812,151,604,068,438,000,573,825,333,636,131,933,918,609,990,832,569,416,
080,348,862,294,997,535,026,855,867,149,409,747,044,640,936,628,271,997,025,
723,997,917,817,310,032,467,618,193,535,705,663,699,053,146,228,865,144,630,
915,380,134,013,908,498,065,845,247,200,284,948,138,238,919,423,482,963,322,
559,886,206,569,214,704,097,058,100,886,147,152,315,812,965,980,084,305,156,
418,801,810,560,206,649,719,702,634,825,192,223,282,606,611,263,549,785,415,
673,802,830,566,457,974,790,819,809,435,731,056,291,896,929,979,885,417,609,
679,395,948,491,317,845,641,364,433,058,998,507,001,370,903,432,360,260,239,
134,366,993,003,209,260,331,622,414,259,717,034,187,909,111,660,154,972,664,
624,748,924,847,869,711,079,157,220,506,169,621,019,029,319,353,851,527,384,
285,724,947,486,356,675,906,546,259,225,494,575,115,469,982,396,584,491,260,
778,107,188,645,665,992,746,937,359,389,208,608,750,165,568,445,931,757,894,
084,813,017,229,034,960,157,520,198,167,591,845,180,522,788,742,162,414,140,
329,126,197,476,996,581,103,256,585,088,184,283,266,461,390,484,343,805,150,
865,819,212,300,762,237,873,355,165,374,198,446,633,561,134,098,306,303,105,
117,077,172,361,529,933,988,334,672,956,359,287,376,168,117,197,673,442,625,
596,016,389,399,637,684,838,238,105,300,607,229,103,437,645,131,208,900,568,
111,427,205,612,716,279,823,838,985,962,024,284,832,434,106,534,125,119,885,
638,620,065,331,001,622,665,906,069,646,202,172,810,033,092,489,544,306,625,
354,597,252,301,686,077,697,762,924,076,335,469,682,653,195,094,265,166,222,
461,185,091,891,736,026,159,909,507,783,545,167,626,601,075,218,691,990,451,
430,638,664,122,364,025,506,463,842,730,952,144,896,862,351,716,735,553,245,
421,692,543,844,813,214,499,821,208,498,150,774,097,887,372,853,597,421,223,
759,156,739,470,866,349,020,205,291,809,743,953,962,939,802,614,588,386,433,
914,376,502,089,600,093,504,058,577,791,320,106,566,978,917,113,612,106,845,
492,719,288,330,927,630,256,124,493,029,676,244,813,835,702,214,765,279,227,
451,683,728,679,957,859,792,916,909,760,687,098,466,815,090,910,366,509,203,
054,420,704,787,719,942,354,128,736,687,988,218,563,875,998,488,744,641,451,
239,237,451,013,699,374,135,440,602,752,649,668,742,945,322,933,692,838,749,
283,875,886,886,561,625,518,416,801,009,761,999,156,755,850,847,759,415,824,
001,202,240,111,040,095,654,341,934,923,498,046,584,923,185,295,950,738,707,
058,389,424,472,474,751,383,374,483,673,501,831,895,111,126,131,222,571,232,
883,061,681,024,419,205,861,618,286,764,656,288,412,747,700,333,274,895,381,
020,708,153,341,831,621,030,531,516,825,349,604,142,787,389,020,116,187,593,
963,909,909,356,838,838,442,822,672,932,548,788,135,530,385,026,726,154,413,
443,589,574,217,191,949,766,894,662,285,582,109,031,845,897,431,860,336,189,
313,040,607,029,870,939,101,904,776,987,767,166,025,582,963,147,982,079,404,
514,847,093,160,821,568,274,975,935,702,545,986,014,878,549,092,260,028,891,
232,400,687,635,934,086,102,136,666,278,207,498,704,661,447,051,759,492,443,
524,102,113,207,407,987,945,893,575,216,414,654,281,054,802,720,520,441,653,
771,584,680,136,157,670,494,931,282,137,024,677,457,637,396,642,205,176,548,
966,904,211,178,011,587,195,443,678,789,351,852,769,465,496,250,227,838,005,
045,775,047,922,260,548,793,413,489,020,573,392,770,336,318,260,447,822,109,
147,490,206,024,903,573,358,467,197,981,597,603,117,965,987,674,959,850,036,
541,170,864,863,251,766,566,792,287,532,295,524,877,722,614,847,368,491,005,
775,898,821,551,414,412,516,058,086,405,120,842,255,858,737,492,009,983,384,
281,430,521,440,228,200,674,336,829,093,625,320,560,532,637,280,420,500,791,
567,861,660,183,937,127,511,915,619,578,716,282,022,193,184,923,169,754,993,
690,067,889,588,754,520,937,661,001,210,095,109,637,834,041,036,421,471,540,
043,760,440,488,119,610,100,752,725,244,262,685,065,616,112,328,141,563,695,
273,546,224,599,506,807,405,105,499,553,454,756,394,320,278,898,489,844,659,
802,144,606,266,343,133,285,148,718,996,589,600,033,956,749,982,399,533,068,
170,170,663,507,065,645,171,561,023,273,590,443,234,322,038,928,539,768,996,
753,186,215,994,669,307,249,838,632,846,761,144,869,124,764,747,493,495,807,
322,775,136,716,022,987,412,006,121,790,857,330,432,646,461,585,845,415,195,
623,072,806,580,738,448,821,963,904,819,374,809,511,457,323,751,729,926,460,
925,184,922,403,948,002,948,974,896,461,032,527,157,208,698,491,340,370,311,
400,427,880,972,195,133,883,552,915,417,408,249,137,774,055,732,029,282,921,
821,141,396,326,435,572,762,456,096,111,149,072,733,019,856,864,038,477,066,
461,454,034,086,251,127,723,684,514,578,346,095,666,733,815,944,483,473,209,
336,367,020,917,412,393,970,566,751,476,447,781,051,131,241,077,325,239,916,
178,048,870,492,527,356,321,448,125,616,345,497,203,710,025,271,093,892,453,
609,245,925,122,304,546,865,597,571,642,726,659,816,404,725,121,785,525,173,
077,649,759,747,029,407,428,780,404,065,111,398,807,113,122,646,915,000,876,
226,914,918,670,344,791,130,234,114,230,355,008,031,935,335,673,994,676,993,
712,821,250,725,039,027,188,904,070,163,898,156,919,838,498,415,784,914,952,
577,637,993,662,168,096,789,399,978,282,975,975,012,942,598,484,330,545,495,
235,936,573,121,600,629,892,409,647,277,088,322,252,837,712,798,353,252,441,
764,214,816,126,878,479,864,701,008,144,887,639,884,297,856,154,095,630,480,
204,166,465,355,840,559,433,337,633,723,375,714,287,605,230,937,291,661,423,
741,743,224,531,065,826,433,437,479,110,715,507,902,995,552,805,997,035,063,
397,910,363,773,195,514,505,894,745,739,254,547,261,114,738,617,818,995,226,
771,940,710,715,706,627,750,655,471,962,423,690,020,631,658,988,578,400,512,
706,094,350,005,175,284,388,854,458,271,675,363,045,128,251,603,869,313,212,
897,058,650,802,099,104,633,522,324,129,554,566,959,529,960,034,633,988,445,
174,650,070,910,323,253,627,253,943,320,186,288,469,546,682,946,262,048,844,
974,361,158,913,047,539,104,525,666,517,355,356,489,160,008,034,419,490,536,
909,899,357,962,533,167,546,191,325,964,325,470,675,137,018,062,887,708,452,
383,421,676,445,091,326,515,797,038,413,154,014,826,793,926,205,171,007,162,
967,630,006,431,907,584,461,082,846,785,790,625,226,761,538,589,660,918,757,
247,177,982,929,663,382,796,185,613,393,343,230,766,967,747,656,562,061,067,
279,523,791,617,921,644,844,061,954,442,668,676,567,814,913,559,185,225,625,
261,342,041,630,082,876,537,126,057,904,585,979,560,669,130,262,402,878,209,
300,281,256,832,098,535,620,666,502,866,082,821,129,749,596,944,126,585,690,
557,768,064,626,629,190,035,377,969,317,180,435,279,847,947,026,073,437,120,
842,762,710,255,800,415,349,939,418,600,606,586,609,290,590,595,236,324,161,
163,025,521,904,774,375,204,824,862,999,866,866,764,222,437,713,954,302,327,
595,130,502,337,959,363,506,120,155,830,129,285,737,438,748,329,498,277,446,
301,903,028,997,860,009,952,706,708,905,992,092,725,346,690,841,609,254,588,
381,888,454,715,327,187,385,853,988,928,098,823,587,415,105,989,357,424,340,
375,553,664,540,709,239,095,015,367,281,511,810,541,032,584,375,885,679,888,
350,511,705,569,340,633,312,111,116,571,851,976,154,545,460,195,409,250,967,
116,706,537,103,541,060,176,568,145,283,765,205,001,033,639,941,236,362,598,
836,099,723,252,912,067,481,761,585,873,459,823,681,255,098,045,470,018,490,
151,634,980,520,658,584,576,157,482,268,460,957,883,485,950,513,600,504,872,
221,745,817,959,792,748,471,338,582,802,945,455,172,817,414,546,220,830,862,
406,804,901,749,424,954,327,748,578,594,923,559,015,183,048,229,428,309,691,
221,758,769,571,120,100,211,204,871,404,568,026,879,879,123,316,194,905,826,
091,087,265,358,875,852,849,772,804,257,473,560,628,702,605,735,690,797,167,
038,589,961,357,072,809,265,162,738,719,681,775,188,159,786,033,371,489,683,
122,312,803,701,556,910,686,793,030,575,800,195,177,319,577,456,894,828,319,
607,069,316,705,666,638,918,983,334,463,633,012,893,350,231,773,398,007,884,
183,916,391,163,273,097,546,116,585,312,044,392,649,437,897,059,249,854,092,
186,932,301,881,659,874,899,375,014,191,655,205,581,499,147,652,378,087,355,
262,023,534,391,723,845,221,436,956,290,687,322,165,216,949,077,254,315,307,
884,222,710,413,972,386,317,972,907,616,724,794,974,336,733,430,001,031,885,
387,041,496,819,434,643,749,859,491,817,796,252,847,409,650,140,931,712,019,
705,628,423,351,928,842,547,541,467,295,056,129,043,048,627,600,866,509,028,
659,256,410,906,711,311,205,475,496,089,536,547,249,126,570,252,201,823,149,
628,594,560,294,134,894,967,569,089,522,365,845,092,335,180,236,185,271,264,
750,448,131,321,098,359,057,076,495,583,210,309,852,796,808,889,251,900,461,
009,642,144,997,565,482,128,913,565,074,512,923,717,614,382,308,910,164,363,
136,073,709,708,119,927,850,186,040,625,329,964,632,965,278,864,344,115,093,
581,434,105,277,230,489,157,084,241,580,399,693,336,021,745,406,249,150,767,
522,234,536,548,247,661,126,463,418,640,829,597,925,902,850,798,503,491,752,
700,580,394,352,680,286,745,834,013,490,153,957,866,848,951,691,508,762,449,
068,909,996,656,618,304,750,458,227,013,373,841,000,933,943,375,256,666,375,
717,289,390,617,838,391,501,645,942,824,124,074,788,560,296,485,532,358,322,
157,442,227,994,900,100,321,787,043,476,713,529,131,360,904,009,138,427,406,
053,911,345,734,538,073,868,918,044,456,348,792,949,972,745,709,457,978,503,
383,276,740,891,864,567,179,113,943,669,867,046,357,077,799,061,483,553,343,
736,461,513,013,109,499,145,801,878,688,355,569,610,357,394,441,287,996,173,
992,850,303,641,255,833,605,246,192,545,990,654,266,307,336,200,605,731,106,
665,909,119,811,543,481,519,123,930,915,530,156,453,757,510,219,966,876,604,
546,629,412,423,685,683,475,091,537,622,239,138,291,221,087,192,648,101,429,
243,760,220,612,333,145,659,269,834,711,914,871,833,723,757,307,988,414,581,
296,521,596,623,540,076,758,566,852,767,150,012,807,830,828,461,973,491,557,
054,467,335,375,778,938,326,193,130,035,563,039,907,370,155,826,145,638,062,
504,199,845,613,443,472,867,371,834,523,799,843,683,865,359,567,765,625,167,
705,945,054,094,190,914,225,736,720,192,398,346,794,263,684,473,476,981,258,
551,094,966,524,787,620,118,551,147,646,875,224,747,052,402,150,728,229,143,
073,633,049,957,389,494,391,555,530,919,191,157,411,566,175,124,631,837,236,
864,562,191,775,618,294,473,328,162,849,512,408,596,982,893,632,924,289,265,
842,249,988,471,803,882,671,713,824,160,119,104,361,972,931,381,130,615,295,
299,590,260,881,436,262,483,058,773,616,965,674,455,872,670,587,549,064,562,
855,702,487,340,164,240,526,765,472,280,280,425,419,547,186,388,512,953,424,
775,341,872,288,775,238,272,385,106,732,745,387,589,754,056,082,516,892,968,
773,676,530,753,507,557,353,831,112,256,333,253,398,538,067,339,153,361,720,
371,019,337,865,871,572,116,033,698,054,514,166,900,622,083,525,833,093,892,
371,129,765,935,333,028,914,815,767,435,480,618,231,200,606,184,448,936,182,
885,041,661,059,108,507,834,779,243,241,566,200,254,945,858,932,228,687,819,
306,388,195,574,304,497,774,623,001,125,107,702,338,947,337,799,521,691,916,
339,929,782,170,140,664,675,497,434,455,998,604,594,038,761,378,140,824,840,
580,115,954,619,721,915,055,683,262,180,557,417,835,818,330,070,710,839,392,
484,744,191,010,086,474,387,469,829,187,707,263,066,215,959,857,333,556,497,
202,064,960,697,084,483,358,581,130,235,559,192,356,744,131,171,060,253,102,
237,625,432,726,488,869,205,252,235,585,447,160,158,602,117,642,550,122,353,
684,099,626,054,765,553,793,771,594,347,431,781,110,585,699,244,679,475,418,
630,402,256,764,791,452,576,455,987,010,282,350,564,502,210,503,420,940,769,
436,916,942,044,578,247,709,703,477,582,652,061,456,159,527,985,597,787,557,
163,809,668,156,624,770,765,305,438,860,903,054,447,011,242,571,492,465,768,
442,843,054,751,542,954,127,248,467,614,362,347,328,295,771,351,034,462,936,
531,767,045,932,250,847,522,329,313,629,006,020,129,143,459,292,536,420,629,
027,930,268,001,218,610,567,188,163,823,966,661,301,670,629,583,784,724,009,
879,084,057,634,471,445,824,869,554,375,902,943,882,712,640,518,276,017,430,
481,778,320,512,910,515,595,739,298,565,413,291,997,668,863,340,706,768,849,
913,743,772,010,014,488,704,999,626,069,453,681,947,866,872,299,097,078,564,
614,032,915,201,957,120,382,657,041,296,582,505,332,592,944,856,018,069,147,
225,503,165,619,652,065,433,890,946,734,162,914,499,135,486,573,879,817,700,
578,485,624,844,050,530,333,154,745,629,946,588,943,482,207,190,717,723,012,
127,765,970,443,325,061,328,693,604,532,958,978,185,850,123,047,367,844,533,
971,871,401,825,928,590,552,672,805,890,080,462,332,331,159,900,806,696,046,
917,902,322,645,831,405,006,939,325,355,891,650,285,331,536,397,244,902,653,
625,125,958,827,626,821,087,654,905,030,070,798,128,568,828,517,351,390,924,
903,299,239,958,754,231,187,916,537,091,043,630,255,794,917,854,217,201,931,
624,783,744,507,671,986,814,752,362,722,680,183,907,799,746,810,939,249,888,
628,965,180,798,890,701,065,337,113,928,844,934,056,055,385,683,004,057,871,
512,420,714,039,163,802,382,891,560,925,509,768,128,517,251,289,288,747,697,
015,695,086,973,708,322,436,131,207,055,283,839,922,850,299,515,944,070,275,
275,663,657,621,733,100,858,908,043,574,382,164,343,307,071,960,370,884,783,
439,121,142,055,781,730,189,806,592,448,672,174,856,904,465,690,966,217,353,
269,894,664,270,663,002,028,248,882,900,537,541,099,332,900,996,756,569,916,
703,677,460,796,506,027,080,221,166,191,224,663,141,714,718,428,342,707,968,
834,893,748,899,852,641,191,902,490,103,933,106,833,268,818,625,188,972,111,
927,336,387,074,202,119,852,618,520,109,752,349,065,071,053,495,809,070,228,
198,461,225,438,126,542,753,847,912,459,688,623,628,810,450,815,263,318,315,
204,605,592,421,959,552,814,363,128,682,832,452,065,027,218,493,659,482,765,
392,586,097,679,866,165,340,291,385,713,798,175,585,565,592,852,764,184,353,
641,207,977,107,928,490,275,340,374,034,947,801,947,500,362,521,621,265,600,
081,167,839,357,008,678,219,958,643,048,016,136,169,750,640,450,810,514,738,
217,222,917,064,709,007,313,332,105,891,591,368,912,591,039,450,757,355,580,
292,465,108,549,589,302,650,235,632,872,827,297,781,173,299,342,251,231,417,
410,917,799,861,738,299,532,131,553,115,504,107,870,890,940,157,127,353,423,
332,912,481,889,517,724,144,488,959,420,786,860,738,046,755,708,315,995,302,
720,382,741,313,303,891,707,732,388,237,389,552,761,243,220,768,140,141,681,
202,561,798,552,276,302,330,644,939,473,308,972,339,427,943,247,702,864,538,
336,313,276,116,108,042,054,480,822,009,859,808,688,549,217,423,644,642,585,
768,179,685,537,359,468,385,593,135,404,776,865,107,302,349,157,624,086,173,
319,776,966,138,921,025,991,443,933,954,056,386,619,686,631,878,717,396,776,
315,829,368,027,925,835,158,377,831,905,768,397,318,610,518,071,436,114,761,
007,597,674,091,917,772,720,793,872,428,185,620,422,387,152,091,759,582,026,
179,106,999,924,826,324,294,914,274,065,152,034,737,451,947,664,624,451,132,
165,741,262,395,435,313,963,410,035,276,258,914,028,824,556,686,201,530,866,
594,133,202,296,028,301,596,770,433,466,589,567,318,378,741,304,407,072,827,
742,559,379,005,807,876,460,503,851,794,329,824,472,627,217,376,851,379,218,
799,412,459,939,788,799,922,406,060,441,575,476,413,117,116,313,893,733,148,
646,235,637,794,274,636,480,033,899,385,739,618,483,095,713,333,387,081,540,
309,142,281,550,481,762,422,795,376,492,300,928,528,315,342,728,657,276,784,
894,779,181,099,852,425,427,361,632,450,481,187,799,073,026,566,943,471,184,
698,505,370,888,091,368,287,181,285,193,246,053,885,454,542,125,919,369,784,
291,357,822,134,701,459,545,993,659,549,122,614,671,143,329,713,105,676,839,
913,736,026,379,679,468,813,773,068,984,699,781,546,643,800,071,722,868,681,
213,933,669,478,093,878,912,733,711,375,809,142,541,047,719,087,940,923,798,
392,537,961,894,996,128,940,351,897,894,428,488,058,435,990,092,559,083,764,
861,924,493,459,793,725,788,893,605,563,444,860,609,760,493,228,808,683,498,
316,355,344,444,898,383,118,718,500,574,919,600,202,860,619,450,302,099,903,
405,013,896,386,495,456,094,171,344,223,311,823,689,903,889,603,761,027,236,
251,146,476,481,315,169,708,542,641,952,939,138,198,037,071,638,929,662,294,
490,490,380,289,973,598,731,470,180,368,885,182,330,840,412,132,939,993,143,
452,893,896,637,054,336,266,934,391,759,401,149,999,443,760,139,158,058,220,
023,127,508,001,390,430,107,289,509,598,768,787,857,386,753,877,457,306,874,
882,032,061,518,465,098,330,034,533,725,689,967,983,568,431,468,471,849,329,
777,868,754,028,494,193,744,371,384,770,600,672,636,452,083,718,119,743,923,
180,699,646,017,631,148,804,415,696,740,439,175,784,607,524,193,944,429,334,
883,447,507,757,399,982,489,080,599,460,703,652,279,194,476,254,872,148,721,
036,188,689,850,763,881,393,117,888,157,002,163,018,443,278,447,085,488,110,
926,651,811,707,365,460,467,200,688,872,759,144,625,246,596,219,816,309,582,
264,387,532,834,015,531,958,735,239,933,925,604,897,866,875,976,710,553,857,
430,108,095,013,039,862,313,923,455,952,601,249,868,928,359,410,124,495,426,
022,527,224,380,112,564,543,978,389,756,120,409,017,067,157,937,512,278,306,
469,463,565,763,803,049,908,473,333,535,326,664,868,312,200,835,024,907,892,
600,836,101,460,901,161,892,470,312,931,093,574,553,012,237,738,805,397,926,
991,388,396,823,706,055,456,904,625,463,145,610,980,789,859,365,720,709,592,
613,710,955,594,082,183,309,359,405,155,335,892,030,794,499,547,451,930,624,
174,453,812,201,186,002,008,883,407,071,908,848,469,516,587,017,657,108,097,
269,197,165,359,056,757,542,439,284,332,042,263,166,282,736,980,689,292,204,
679,017,063,707,599,722,256,412,455,658,091,031,719,041,910,241,476,821,724,
058,481,121,589,108,065,235,008,455,969,088,978,070,892,477,488,211,500,232,
424,403,856,762,375,640,300,485,163,272,998,639,148,242,001,503,665,637,947,
933,459,082,654,696,178,299,404,513,029,426,084,416,716,498,120,201,275,108,
283,962,049,647,792,096,496,735,802,194,619,311,664,245,084,291,074,983,313,
371,392,293,739,590,944,042,056,740,009,556,830,271,739,877,182,587,216,396,
658,690,065,729,616,450,226,028,204,191,968,441,172,233,809,375,883,351,200,
135,655,588,780,827,406,765,963,804,446,569,665,921,715,641,281,739,412,616,
546,445,137,459,253,624,073,256,681,916,969,709,252,560,785,852,616,249,089,
746,336,961,576,194,600,005,860,469,383,165,577,904,582,993,860,957,096,558,
226,605,112,358,402,775,816,498,053,915,216,069,004,364,691,458,367,803,875,
143,288,173,331,992,431,342,007,349,864,048,603,646,205,570,920,385,967,323,
675,038,924,479,317,451,181,843,488,133,595,413,962,978,396,088,867,992,015,
399,321,178,155,710,606,002,437,981,301,702,627,152,964,856,409,421,929,477,
559,402,957,642,592,685,696,905,350,589,531,810,412,994,219,498,001,623,221,
685,367,405,883,356,382,047,513,504,098,060,331,840,612,613,671,237,355,623,
203,247,590,303,852,660,469,194,384,437,782,658,024,890,040,039,083,715,397,
695,975,464,497,011,406,304,429,565,718,960,508,182,386,391,483,392,164,993,
837,228,279,789,871,644,171,775,315,093,968,673,034,809,570,109,624,655,225,
992,340,439,535,789,654,458,614,308,192,353,358,809,129,927,010,125,424,528,
589,430,796,122,184,031,958,548,410,148,862,318,245,889,231,916,939,489,049,
034,175,995,090,364,682,562,220,971,393,073,794,684,646,319,687,364,200,696,
732,002,536,106,924,817,619,579,657,760,872,229,446,514,716,603,586,209,109,
729,502,137,472,060,966,594,016,891,139,101,435,691,241,459,786,824,067,309,
518,969,741,446,098,822,698,673,397,255,196,616,485,972,921,063,627,714,136,
786,081,852,664,747,380,569,671,026,307,161,371,082,745,996,234,960,690,656,
775,292,390,067,935,689,134,800,802,669,673,630,256,307,071,119,133,935,448,
524,393,919,925,422,250,568,677,657,321,585,150,777,009,223,696,449,297,850,
046,853,157,882,163,587,028,292,410,633,877,970,558,222,240,040,953,636,006,
829,058,473,107,634,817,594,330,711,699,290,157,545,475,778,458,620,383,151,
479,300,278,960,495,556,234,070,947,980,336,047,362,187,073,421,289,976,689,
819,989,201,645,850,422,569,380,579,877,205,766,045,845,775,964,650,992,842,
809,668,114,154,547,862,897,072,136,306,925,617,210,287,988,364,991,945,428,
193,548,112,489,917,446,545,511,090,840,240,941,136,910,935,124,335,969,020,
783,762,561,982,357,830,392,806,891,842,224,622,756,445,991,891,513,812,303,
387,981,004,289,704,094,973,614,631,494,406,564,896,706,006,431,087,449,777,
467,100,535,784,241,204,706,133,356,453,036,194,813,952,905,128,529,342,759,
218,552,563,424,311,290,535,087,486,176,953,121,962,654,535,829,689,117,293,
517,466,081,043,420,493,864,430,027,323,307,370,042,522,401,771,773,767,766,
560,912,038,378,955,262,442,869,836,101,097,666,336,078,484,335,497,598,875,
560,266,736,202,501,291,222,575,648,142,936,441,699,913,150,227,231,718,119,
660,173,258,865,142,888,230,772,367,666,089,458,443,964,485,287,610,047,392,
051,939,733,890,868,823,443,744,330,377,038,767,175,428,852,803,068,153,324,
432,640,585,250,609,668,305,714,536,823,722,161,836,470,431,409,034,809,797,
355,873,485,661,547,546,570,616,109,876,411,640,886,157,198,261,581,463,748,
618,630,813,652,861,417,019,497,568,823,690,992,397,200,961,961,561,018,256,
824,273,434,530,616,832,036,022,219,856,586,175,099,278,394,866,655,140,376,
119,653,061,226,277,833,117,298,139,383,391,882,238,760,039,905,710,078,489,
755,169,106,794,804,852,434,069,278,177,683,306,685,674,650,834,994,809,632,
221,650,611,509,077,950,935,333,806,296,324,300,901,247,378,346,713,951,793,
658,316,157,462,264,765,263,352,177,501,768,919,644,236,658,366,332,438,428,
149,643,221,717,537,345,456,569,306,752,078,997,659,865,504,254,362,888,926,
912,377,022,792,448,959,116,729,191,644,611,834,896,466,587,318,656,509,125,
369,721,396,623,596,214,221,764,491,944,586,102,407,662,718,004,918,967,432,
356,047,040,510,499,503,644,819,413,143,813,201,965,902,194,272,681,558,662,
837,800,534,273,083,123,030,919,139,093,373,999,000,236,148,603,158,253,686,
330,733,130,517,684,152,124,592,576,260,568,126,962,091,259,066,544,241,966,
542,499,947,374,997,415,259,096,475,064,378,902,978,788,861,169,711,380,137,
825,626,563,067,342,788,802,320,139,441,392,277,765,133,394,929,137,685,159,
356,630,804,291,159,396,886,441,278,849,470,366,605,102,182,165,290,859,763,
723,413,376,353,242,130,190,082,301,531,152,954,512,690,282,312,278,753,645,
938,108,185,771,561,926,549,971,189,778,175,368,007,286,617,763,442,421,144,
536,532,969,624,072,465,786,116,363,352,825,006,503,831,647,759,271,645,741,
889,700,846,205,874,808,614,990,887,749,983,297,244,095,608,839,012,146,785,
331,388,057,506,980,278,081,765,884,212,602,130,062,057,387,122,261,030,986,
468,856,453,607,574,187,114,596,153,721,941,074,683,136,022,073,060,173,565,
922,367,168,069,934,936,087,480,894,556,815,152,259,911,400,239,278,113,836,
944,386,263,253,462,339,380,415,700,285,347,422,149,114,865,677,779,940,645,
286,905,594,682,946,129,361,015,852,982,096,900,338,312,912,368,602,903,151,
517,234,845,656,852,938,801,166,606,910,868,843,940,125,780,184,561,387,590,
765,985,684,763,390,601,272,820,232,319,476,529,675,698,635,525,426,791,805,
726,195,321,503,150,863,890,721,742,708,893,853,831,562,926,966,300,377,894,
005,248,762,598,877,520,343,267,529,304,489,003,036,343,199,222,249,515,841,
687,478,438,111,898,584,377,121,487,151,621,889,665,950,932,676,544,607,957,
418,862,828,771,233,583,357,651,812,373,375,850,149,783,941,546,737,252,190,
037,774,884,466,134,586,823,853,034,509,000,352,918,308,207,345,421,795,612,
587,823,885,242,093,653,433,369,781,367,192,886,316,688,904,997,518,320,590,
078,223,002,413,003,696,031,235,445,606,942,895,399,439,980,770,020,872,964,
798,337,666,652,481,236,448,655,240,321,263,268,195,828,078,421,946,153,182,
284,284,941,427,122,825,518,690,299,469,458,159,763,203,728,138,230,225,640,
619,811,480,049,879,581,369,062,372,900,520,036,155,476,031,785,311,304,264,
167,673,549,118,069,388,957,544,218,124,745,166,242,620,323,156,270,725,132,
072,786,117,418,536,637,338,822,732,006,612,946,903,800,774,612,539,574,607,
722,540,929,040,036,088,883,018,632,903,916,476,835,263,550,617,487,660,274,
672,818,878,575,748,190,626,710,233,534,879,323,947,237,118,073,100,682,801,
389,309,322,696,590,165,789,224,410,132,138,594,690,299,798,877,188,033,464,
236,969,217,325,293,383,906,703,896,820,792,597,126,220,821,155,308,623,030,
841,625,610,406,185,496,785,834,022,765,796,146,213,890,489,647,208,939,162,
887,144,021,056,746,917,308,022,127,943,259,618,242,309,675,345,582,565,361,
765,582,028,642,620,011,221,161,606,810,788,444,110,329,005,205,092,646,941,
785,034,593,820,067,795,772,448,272,340,139,459,304,169,780,793,020,909,031,
124,168,533,797,979,917,478,060,637,808,365,677,883,913,917,685,041,481,373,
982,790,315,598,046,390,440,943,333,629,842,098,604,857,745,275,263,308,634,
839,370,937,569,552,789,666,468,732,855,310,196,420,597,736,873,614,809,807,
894,764,070,543,522,188,103,277,197,074,337,394,385,740,529,688,433,548,195,
709,450,389,361,800,306,862,374,475,007,712,844,571,284,908,664,082,416,530,
234,617,282,762,445,896,789,101,028,629,174,476,040,640,660,951,051,926,060,
176,385,734,565,835,109,390,026,077,292,994,896,080,584,206,507,545,504,080,
966,770,022,435,505,119,550,688,734,686,326,374,998,022,764,935,597,373,968,
358,890,326,049,232,160,197,447,429,057,069,070,009,628,607,725,229,827,915,
786,297,287,581,312,769,088,186,932,849,162,104,060,481,991,404,718,625,667,
956,674,351,723,892,351,406,913,732,755,664,043,505,367,838,802,726,774,012,
294,939,479,649,514,373,889,699,927,928,455,520,961,630,026,298,065,149,141,
763,882,869,269,453,998,928,803,736,245,092,583,683,610,409,541,096,486,658,
860,072,171,514,801,173,206,901,768,488,610,710,544,012,865,118,364,651,057,
416,559,430,262,724,445,188,588,815,583,626,978,300,125,446,510,634,159,948,
608,445,860,695,845,025,331,044,796,944,548,642,897,854,543,115,027,982,985,
761,694,477,592,355,879,327,525,905,362,339,559,686,061,348,281,125,406,891,
505,817,977,669,407,850,262,515,663,691,855,835,743,402,247,940,556,607,298,
646,176,073,884,621,045,718,116,195,755,450,275,632,779,641,905,241,563,414,
639,857,117,659,823,287,487,330,393,861,343,425,079,486,902,769,670,952,144,
230,740,298,448,732,257,776,274,518,709,388,199,333,832,843,658,977,389,345,
733,261,750,419,815,516,559,834,667,020,010,579,211,920,167,942,188,484,679,
318,313,001,864,344,355,543,254,589,778,149,169,544,120,443,975,073,561,978,
433,575,102,075,667,538,309,448,973,643,322,081,019,941,515,219,726,112,111,
650,245,828,406,514,598,741,729,043,968,739,652,448,355,211,601,404,035,093,
562,874,015,845,864,868,529,161,223,828,349,668,522,730,416,337,320,392,323,
606,393,429,792,387,347,891,865,075,311,437,345,280,008,738,300,251,010,404,
324,911,380,476,383,390,542,053,678,455,076,169,133,932,166,747,694,018,694,
883,146,139,468,955,640,135,501,907,365,178,849,719,075,991,452,587,632,425,
980,429,074,994,598,346,907,832,196,320,631,935,877,623,671,908,471,256,904,
891,205,448,391,690,548,461,740,652,131,854,289,381,217,633,329,576,739,595,
579,919,507,835,416,017,058,085,917,435,772,436,675,137,498,048,285,604,024,
739,405,691,370,619,339,688,602,480,264,425,868,225,385,302,898,272,584,212,
763,308,543,253,539,766,135,943,640,279,701,297,520,182,252,806,023,340,403,
752,399,964,829,676,282,375,605,031,259,130,328,386,890,922,183,684,428,146,
018,074,014,918,630,030,482,834,447,693,034,482,332,744,101,648,687,568,447,
081,505,181,133,037,026,088,979,792,521,090,911,728,982,095,977,709,393,873,
882,552,196,619,548,345,198,195,864,341,218,009,009,014,379,797,930,027,331,
323,568,772,473,920,142,739,661,981,943,357,703,325,987,016,152,525,437,798,
488,292,942,155,169,024,269,716,476,932,495,309,123,058,753,286,906,595,186,
699,644,448,565,517,316,626,915,546,402,293,684,504,119,330,414,929,944,032,
830,525,233,220,862,601,796,428,854,312,994,790,693,114,277,709,318,791,958,
152,144,601,891,558,877,644,997,330,483,946,486,394,025,526,151,148,133,553,
587,955,798,025,161,967,780,723,289,154,845,015,287,397,558,709,966,047,406,
012,436,087,528,845,918,530,584,157,865,225,392,865,713,740,635,322,889,422,
629,616,110,340,487,882,258,906,554,204,344,054,323,993,523,548,660,780,048,
614,553,167,470,781,952,298,161,342,817,349,966,195,899,318,430,903,786,400,
861,888,445,198,442,471,790,200,335,471,420,060,651,412,242,304,059,826,016,
174,498,812,466,404,255,522,554,592,144,437,415,817,216,536,638,898,581,538,
306,132,914,314,311,531,879,733,114,819,397,367,513,268,875,614,218,102,661,
633,237,289,786,661,113,316,251,150,795,699,992,651,121,994,812,158,279,714,
850,783,643,750,356,582,351,830,214,323,484,341,462,203,937,629,025,717,567,
515,935,279,031,698,103,728,613,101,111,698,640,097,069,829,372,185,472,763,
849,230,215,047,601,168,818,571,927,971,087,215,337,366,406,191,169,761,119,
658,591,813,758,320,893,025,138,087,477,108,651,176,203,283,153,625,015,622,
906,930,986,973,350,854,523,528,783,805,853,742,042,146,968,444,446,314,083,
035,659,347,843,521,844,254,594,914,308,309,425,744,891,392,414,306,324,237,
704,189,590,968,465,319,499,511,460,562,412,642,838,473,893,777,948,846,424,
963,428,496,708,053,240,448,328,950,614,326,284,691,164,872,740,725,469,765,
064,832,658,337,584,767,105,277,487,871,242,455,984,060,052,251,988,378,785,
603,775,907,028,620,467,219,686,128,256,778,415,514,090,558,260,550,005,788,
071,023,682,279,230,789,250,672,103,668,189,700,222,928,696,481,318,165,720,
893,783,168,918,834,108,778,335,973,337,080,241,730,767,254,338,904,435,182,
851,295,682,829,630,491,095,333,082,706,605,421,369,167,949,817,064,805,851,
234,476,823,808,430,264,171,536,397,481,226,842,781,812,652,154,714,325,048,
269,601,143,770,628,607,861,747,276,325,395,926,534,859,180,909,257,650,300,
575,133,481,709,987,714,290,204,459,771,111,053,678,037,779,962,109,528,384,
160,161,841,598,462,841,639,696,073,960,567,836,260,553,198,319,562,382,201,
452,549,893,154,337,166,911,146,350,407,701,191,071,516,847,748,053,688,078,
809,549,168,512,206,801,296,003,433,238,829,008,660,125,463,813,916,139,262,
115,875,769,274,492,777,641,095,702,322,475,627,180,658,123,717,727,970,148,
344,118,669,778,925,858,210,600,464,547,998,001,531,909,165,842,174,762,571,
143,545,649,266,904,757,510,184,742,720,681,952,029,116,973,088,700,260,303,
959,890,637,756,448,177,921,617,673,170,049,491,686,081,481,357,677,601,510,
951,685,100,199,686,557,415,483,797,452,182,136,502,825,265,787,955,537,558,
997,872,782,750,877,630,145,617,820,903,729,251,364,665,475,705,215,428,345,
522,816,527,181,783,814,419,314,402,295,403,236,256,046,166,004,579,436,018,
736,840,870,966,327,472,175,168,801,990,733,406,932,202,421,705,747,508,964,
691,748,436,202,840,018,488,335,213,185,834,909,244,874,393,646,781,603,775,
198,105,851,860,763,755,308,999,437,806,696,434,564,458,295,223,560,288,014,
420,220,456,296,176,591,278,885,873,807,012,722,011,971,218,847,678,555,915,
134,300,992,249,113,466,402,773,511,655,043,074,311,867,585,518,015,450,703,
418,590,222,455,819,706,425,401,073,983,428,557,345,615,408,962,728,343,090,
056,663,017,201,685,303,979,701,216,117,839,464,285,383,182,282,161,962,059,
422,494,317,204,179,155,361,884,925,275,048,710,525,131,617,641,275,200,090,
776,133,956,329,447,685,851,044,243,988,165,009,642,945,870,044,228,587,665,
190,117,263,224,435,322,069,475,912,838,811,779,760,563,672,511,745,742,615,
913,530,931,528,912,735,716,566,564,789,451,769,957,546,752,170,329,655,583,
188,912,066,822,761,978,210,680,794,381,876,427,818,783,779,718,947,739,476,
014,658,959,636,598,338,738,163,138,980,550,645,146,604,892,403,774,840,020,
471,326,125,210,417,888,225,886,905,945,536,871,426,509,041,255,267,611,562,
936,694,852,241,933,429,364,765,449,046,042,813,874,108,464,327,502,269,384,
959,739,580,956,084,613,668,791,986,317,066,827,789,787,429,340,795,021,004,
750,050,459,523,416,537,799,009,682,683,825,062,169,118,742,231,921,386,573,
731,097,160,405,693,007,108,238,942,154,419,218,551,506,781,038,702,827,306,
517,505,873,824,662,839,111,407,381,165,422,495,951,015,555,160,567,838,027,
263,090,920,074,066,968,202,816,903,722,040,580,147,697,203,110,407,733,769,
322,820,864,878,787,052,226,452,257,377,257,913,806,961,173,464,221,987,691,
288,594,115,309,995,067,327,601,468,994,981,592,798,220,466,024,189,013,066,
361,254,384,424,431,716,314,537,721,792,072,398,162,031,571,978,054,830,757,
513,395,703,043,315,197,411,957,270,077,290,087,077,239,235,199,063,066,581,
431,481,537,881,572,089,944,892,088,256,779,311,291,836,764,290,059,018,564,
670,043,507,554,215,921,188,364,329,437,854,478,129,077,388,449,397,686,758,
652,582,170,184,784,071,608,116,664,061,113,403,802,230,408,016,389,645,804,
781,993,086,536,718,487,482,012,617,397,767,146,380,476,873,855,341,697,472,
373,426,961,598,045,193,635,085,473,712,807,228,392,742,703,645,249,269,424,
405,250,039,050,782,404,078,744,037,053,837,814,486,593,207,108,501,464,208,
638,488,661,995,260,024,394,176,699,978,621,255,313,916,465,340,093,934,820,
608,560,690,973,132,004,292,962,613,432,290,884,675,950,734,392,194,333,481,
301,322,181,682,084,690,860,239,025,227,991,294,383,599,538,514,520,678,335,
409,896,840,135,898,361,963,437,811,975,698,012,016,856,481,206,895,988,431,
720,999,949,414,592,177,851,199,648,981,946,652,921,842,000,214,026,710,720,
188,645,921,683,612,188,688,046,092,133,928,206,377,364,305,374,917,676,235,
783,404,179,387,055,877,969,364,487,700,446,130,045,696,182,116,329,609,346,
915,573,625,855,227,187,393,948,132,159,140,837,316,115,482,634,952,261,097,
261,676,431,810,752,290,805,685,396,932,885,819,374,320,833,280,778,227,384,
533,538,483,531,706,524,025,637,065,085,264,955,282,359,074,918,413,980,190,
812,421,960,445,451,266,491,274,717,148,496,885,231,534,347,923,188,032,897,
700,663,850,966,809,972,996,353,946,887,743,338,212,301,547,569,205,292,929,
040,317,420,630,382,796,973,538,494,837,183,221,144,399,496,745,872,503,406,
386,332,272,054,334,407,305,870,029,925,983,128,499,034,958,804,303,917,732,
557,065,973,358,217,080,230,427,929,049,755,743,593,736,051,408,824,715,950,
549,716,851,887,744,983,869,376,342,180,565,995,109,751,440,460,645,955,598,
987,647,776,647,339,715,028,071,164,810,188,548,625,075,210,344,772,298,972,
567,671,887,652,717,592,892,034,823,272,382,737,508,420,266,761,050,936,464,
141,411,007,569,628,835,293,732,173,068,626,053,719,962,916,772,729,465,387,
096,510,403,226,781,208,655,892,002,694,408,766,843,169,993,294,866,737,322,
355,511,972,515,999,927,260,649,580,579,729,213,523,911,811,272,288,116,429,
296,846,974,607,697,478,916,068,030,666,306,415,689,162,579,877,138,389,683,
566,814,063,859,406,591,903,441,081,426,305,310,638,793,147,089,680,279,224,
737,003,256,873,417,463,708,713,652,087,599,947,712,304,790,971,933,933,176,
444,815,648,394,148,000,415,397,100,699,043,318,272,238,531,874,643,665,400,
986,825,949,804,355,779,927,218,879,270,183,720,293,047,728,488,720,712,855,
241,612,897,859,760,758,015,559,212,732,738,991,611,161,452,461,882,021,428,
117,037,351,502,558,776,588,242,151,618,525,614,574,208,608,026,853,819,307,
224,747,963,468,508,854,571,226,872,707,720,860,425,655,443,994,841,191,597,
351,908,016,397,402,911,328,255,268,266,819,896,148,550,432,694,425,077,187,
218,052,512,945,749,278,739,819,668,292,585,310,823,751,538,091,696,703,200,
742,230,200,739,752,175,516,571,784,565,360,367,982,660,275,418,836,948,461,
172,513,156,801,687,686,026,132,492,701,296,838,418,915,555,765,629,659,963,
850,892,823,664,970,143,296,856,342,667,901,703,750,009,961,286,383,491,885,
023,178,821,369,343,395,231,480,271,574,171,138,448,472,338,538,166,079,050,
419,264,237,197,547,313,403,412,182,578,718,788,685,970,215,798,090,203,071,
701,943,581,343,115,769,077,743,618,324,471,769,101,202,845,702,032,308,849,
795,936,448,267,874,324,572,338,680,169,393,886,660,539,624,012,150,801,450,
835,973,242,342,188,418,449,185,013,292,655,518,585,465,109,974,759,369,408,
551,847,684,818,596,693,676,007,746,920,183,981,304,081,071,711,403,934,006,
329,496,915,933,494,806,898,026,845,241,388,515,169,461,840,286,070,956,592,
299,638,160,225,577,149,500,520,090,447,649,170,958,248,910,919,169,751,400,
490,886,975,279,160,461,254,899,571,512,332,469,872,644,339,618,158,674,776,
764,160,151,595,216,483,130,653,807,200,099,396,691,117,896,086,423,735,685,
388,394,022,633,584,716,418,307,938,676,288,783,565,218,844,845,534,779,103,
555,524,470,880,207,269,788,751,268,264,072,657,115,108,836,761,260,983,454,
296,756,654,091,493,961,842,584,883,484,185,525,784,524,207,717,751,943,923,
299,757,701,295,904,643,502,093,350,259,235,768,254,960,637,389,893,535,824,
510,574,324,773,816,408,606,042,127,116,267,402,170,064,326,703,909,403,362,
888,105,620,077,329,730,818,289,918,531,444,322,380,351,272,399,167,502,460,
589,942,450,032,321,867,936,666,575,748,553,773,878,114,485,455,306,563,077,
695,001,795,467,689,385,088,085,094,230,102,120,693,914,248,532,015,076,148,
314,248,820,190,351,929,903,690,732,758,531,091,428,363,087,590,365,720,986,
859,989,526,631,419,904,898,726,812,800,220,088,582,731,026,738,486,016,919,
149,879,365,955,132,248,657,781,761,244,566,028,582,471,293,902,481,360,132,
091,058,352,600,206,507,732,442,994,571,959,005,142,721,786,134,759,326,806,
361,978,077,944,630,761,114,825,740,021,369,462,324,732,484,363,556,431,441,
689,637,571,200,486,519,630,220,528,361,946,371,029,433,574,941,335,506,918,
449,266,183,244,892,878,355,185,159,007,820,950,959,849,094,760,519,840,456,
345,956,895,568,019,569,123,668,447,060,021,943,031,825,392,979,946,880,107,
549,756,561,594,410,287,073,047,891,042,782,842,003,235,795,338,881,565,383,
403,551,829,794,863,234,868,886,301,212,215,858,501,654,196,497,400,085,097,
975,420,953,586,245,850,910,387,087,230,074,384,698,138,899,578,450,463,478,
963,555,415,237,744,470,556,160,346,918,369,827,157,120,504,333,339,724,518,
809,326,329,974,889,696,087,541,815,478,812,200,121,929,565,291,633,809,566,
507,637,727,288,161,266,590,910,264,195,251,278,781,578,886,307,344,838,056,
232,930,049,294,449,715,600,375,295,374,580,636,559,647,074,743,471,206,352,
638,786,637,090,030,371,010,444,989,475,244,051,887,932,718,331,304,954,255,
912,074,194,918,617,889,649,432,501,379,591,397,498,252,768,085,863,985,823,
099,825,044,982,952,219,738,184,931,694,668,994,199,802,632,797,384,617,318,
864,883,860,342,767,916,280,817,473,937,883,911,617,049,774,927,851,745,076,
442,105,964,405,759,300,330,391,881,047,044,844,042,370,862,344,993,129,977,
391,026,950,246,707,111,814,226,559,826,779,057,981,860,157,433,493,303,485,
301,696,356,603,518,966,111,056,719,558,021,662,591,434,697,369,489,757,508,
762,349,009,064,340,702,064,013,412,814,371,633,735,576,424,251,124,456,347,
961,270,640,196,290,802,245,674,766,913,674,364,042,561,790,252,761,815,081,
009,670,212,597,887,442,962,959,474,786,667,919,772,127,085,238,415,397,762,
447,248,985,184,824,142,737,176,023,337,690,793,417,395,437,412,526,018,041,
724,758,885,182,864,779,628,892,560,664,384,952,816,778,593,541,012,997,194,
889,962,872,914,953,291,917,855,914,860,378,142,354,443,276,589,195,086,864,
183,593,979,936,430,616,887,299,041,240,594,801,908,201,291,535,381,632,665,
840,626,934,414,928,510,075,807,159,404,383,798,625,180,612,965,112,344,845,
452,228,098,343,177,492,440,763,573,319,620,317,076,241,291,113,061,888,667,
183,574,124,448,510,621,725,525,487,167,121,364,424,500,743,808,734,185,755,
642,250,873,322,468,263,754,830,031,287,398,470,570,426,968,321,985,445,302,
169,504,052,301,968,492,889,506,970,004,831,530,277,402,608,583,735,260,025,
624,118,211,358,438,467,825,118,628,888,096,905,850,170,929,186,091,559,203,
755,209,501,297,341,203,987,384,300,045,567,748,321,359,217,823,689,932,553,
133,524,009,854,734,494,764,824,857,153,340,992,999,294,246,240,053,865,617,
063,851,516,277,516,551,692,452,609,613,312,928,854,154,554,608,014,467,900,
077,019,985,529,923,888,192,082,884,950,160,530,048,024,370,852,199,015,981,
793,687,618,285,810,558,501,672,191,838,131,401,867,196,090,143,383,486,994,
089,276,942,374,048,000,485,287,907,306,878,418,231,843,809,851,161,735,418,
136,960,687,686,133,663,426,040,996,858,400,280,554,742,384,382,151,632,517,
088,719,032,353,858,728,487,911,881,209,489,969,196,492,190,002,349,092,741,
410,132,793,608,582,232,666,748,729,249,244,441,343,930,590,452,980,433,593,
993,256,047,126,425,995,776,559,521,050,623,371,969,151,157,046,287,894,428,
736,967,207,367,204,237,961,243,914,477,414,255,204,919,700,794,491,199,330,
033,508,802,510,379,504,966,859,465,490,031,327,096,952,123,720,045,830,091,
486,710,760,187,492,491,758,923,533,203,926,334,368,997,150,089,899,051,749,
499,657,548,204,001,078,643,548,755,244,667,828,565,089,161,238,183,882,266,
967,148,250,666,952,937,523,306,316,665,137,175,260,925,512,574,530,817,329,
730,278,948,535,627,152,271,718,849,982,397,782,056,279,216,274,123,515,096,
587,339,870,685,789,151,088,437,888,466,682,069,642,466,941,804,349,619,197,
815,443,273,253,521,220,501,635,197,646,997,524,019,146,771,231,318,617,279,
204,830,276,049,153,210,509,055,830,443,972,243,556,732,633,631,901,200,076,
638,099,165,169,047,871,035,356,491,280,840,020,373,711,146,040,160,770,023,
542,987,730,450,297,540,238,561,915,967,799,992,365,690,994,412,444,312,509,
813,919,842,928,782,055,917,071,229,884,272,779,124,429,117,748,635,249,232,
572,633,588,265,095,247,349,512,079,535,924,747,563,874,462,818,234,229,109,
809,888,456,656,313,130,815,288,733,334,902,244,719,424,809,139,277,801,394,
459,896,746,053,452,913,419,600,125,671,980,112,798,053,441,479,131,721,472,
457,373,189,186,398,347,260,892,610,362,842,747,109,300,727,705,993,421,367,
765,975,801,957,509,678,429,968,025,221,467,562,867,849,656,757,659,842,597,
693,237,221,197,509,773,200,628,472,832,660,135,239,604,128,775,623,440,663,
901,962,698,262,779,419,012,468,097,473,499,193,279,398,453,168,951,933,264,
456,347,664,237,443,605,670,656,064,843,540,029,132,982,014,842,517,900,953,
675,283,424,293,323,644,679,788,282,971,977,643,430,223,091,125,837,906,106,
225,479,067,141,167,081,348,459,236,313,517,514,922,248,772,609,032,705,990,
728,524,501,457,572,929,938,211,383,347,220,673,256,873,200,726,533,388,350,
059,324,240,454,129,960,204,022,718,897,519,634,243,571,261,678,311,464,721,
732,668,777,275,076,866,554,703,359,858,846,207,473,189,172,275,984,796,237,
835,107,652,470,379,874,777,830,833,256,099,836,136,596,662,888,951,042,598,
662,994,431,843,625,364,233,342,425,909,185,927,061,366,682,472,444,624,172,
227,039,893,266,979,151,769,680,116,505,511,661,714,871,491,606,930,525,320,
406,990,282,376,072,678,267,777,986,917,412,845,417,861,040,991,095,215,586,
972,887,880,020,062,697,659,187,736,782,804,577,348,423,987,979,802,290,967,
700,319,039,393,598,707,706,070,339,660,901,425,765,726,420,042,495,604,737,
552,873,393,147,976,740,004,105,638,149,350,895,076,162,518,718,185,892,822,
391,043,172,431,405,272,451,041,743,631,795,668,379,264,957,489,818,906,941,
253,002,963,921,453,473,441,102,605,506,763,783,143,324,895,201,903,257,591,
189,501,000,581,909,790,507,537,625,252,300,852,708,431,525,307,021,246,436,
488,607,956,758,102,769,936,361,215,075,887,119,483,363,664,176,155,218,698,
107,751,716,291,208,025,606,414,793,719,163,794,706,308,541,002,393,417,149,
184,211,477,431,300,031,132,692,636,291,609,571,859,585,732,671,004,304,134,
380,350,925,328,393,317,522,612,237,497,435,735,270,766,265,842,945,228,530,
562,460,266,514,086,321,260,276,443,921,229,864,793,072,219,430,061,383,218,
913,287,420,694,094,494,702,223,674,246,485,901,336,536,813,700,900,381,934,
050,581,639,841,052,850,978,449,652,076,852,564,686,174,187,725,454,596,815,
182,336,399,613,707,741,761,126,703,074,518,005,106,577,858,423,016,529,984,
334,981,665,657,439,270,885,001,142,591,618,975,878,483,745,214,681,743,338,
982,586,155,187,372,957,796,236,093,554,113,166,863,718,333,556,755,808,584,
371,098,969,238,969,400,939,297,975,543,910,725,918,968,697,553,112,054,009,
097,595,201,956,924,576,635,927,630,598,504,082,773,525,611,441,840,746,082,
504,246,517,741,528,220,151,974,695,144,436,199,928,233,218,466,952,797,547,
254,602,140,151,945,032,628,424,148,043,000,300,890,113,514,345,253,817,846,
214,292,671,847,716,955,659,336,376,193,437,671,141,519,031,602,383,822,059,
741,421,434,306,155,436,853,208,710,593,413,782,495,614,327,503,731,844,908,
920,594,203,129,335,191,807,302,101,338,548,768,615,647,018,159,996,213,838,
940,985,575,067,238,862,062,291,336,247,003,365,065,525,576,067,451,679,893,
392,617,756,385,101,929,607,619,338,902,317,181,877,471,591,509,269,907,900,
842,297,889,063,785,487,748,294,455,002,452,003,955,783,306,573,762,761,395,
932,648,938,814,531,161,449,245,927,679,789,319,887,552,242,488,032,551,536,
870,861,613,465,043,207,610,994,925,823,508,125,984,446,190,192,333,577,034,
845,194,542,523,477,210,584,337,541,611,922,213,678,548,383,281,834,927,687,
218,835,795,618,847,148,375,014,041,202,605,889,453,403,116,218,732,754,447,
176,718,036,888,025,600,042,721,835,833,112,291,460,614,462,351,435,738,379,
977,812,212,195,423,791,514,230,951,927,637,255,730,669,701,313,983,453,026,
000,776,884,688,854,807,155,047,564,816,199,078,292,314,356,783,623,025,208,
951,312,809,440,403,900,599,918,627,295,621,585,378,871,129,063,816,026,944,
139,101,560,435,626,772,925,387,562,562,446,503,757,493,033,418,566,383,110,
479,771,794,925,462,875,123,803,950,088,086,569,098,956,335,389,328,251,304,
443,071,229,471,500,157,174,429,101,522,274,849,224,090,046,440,996,839,542,
026,161,844,430,887,612,340,230,066,940,908,014,458,507,115,694,627,878,862,
729,356,796,563,185,577,383,178,916,563,381,690,529,698,289,383,186,019,732,
211,312,470,941,969,496,653,419,397,942,107,063,916,490,836,913,815,024,352,
465,386,104,786,023,953,366,076,068,060,575,214,267,489,023,946,919,338,031,
429,211,480,143,374,111,845,014,348,978,690,458,128,912,215,749,379,608,523,
202,707,047,262,147,962,528,083,263,972,154,194,534,683,017,408,927,865,597,
351,111,147,248,308,816,395,987,374,157,736,142,221,545,547,311,364,611,120,
515,577,482,499,880,262,147,481,755,573,105,877,413,677,155,624,243,472,703,
320,175,782,820,737,165,148,550,300,333,908,243,564,636,792,642,937,916,967,
475,034,635,930,637,750,888,664,042,987,940,912,384,907,305,209,603,911,475,
709,256,838,336,735,301,767,231,676,316,070,030,920,448,679,222,284,881,561,
231,065,372,701,073,011,100,408,224,784,751,898,296,563,877,633,535,258,670,
628,503,952,689,083,862,805,079,035,670,027,282,801,001,045,767,105,364,353,
673,673,094,131,317,029,710,678,510,853,189,117,913,833,988,040,168,788,209,
269,940,344,850,300,483,340,742,583,523,368,819,462,137,528,902,082,497,257,
803,318,462,589,018,328,774,721,163,842,875,132,401,317,697,988,099,769,341,
399,939,988,974,115,424,993,348,006,194,863,610,568,673,474,634,063,249,523,
347,668,379,773,113,294,284,508,474,978,239,759,181,499,602,177,783,593,700,
490,188,054,058,956,301,313,580,721,067,521,278,427,333,005,401,794,855,700,
824,197,702,876,216,049,905,745,665,129,925,787,621,376,264,082,089,457,405,
319,412,749,596,559,349,948,565,764,967,075,565,408,847,826,189,226,732,099,
770,508,825,892,448,340,927,986,810,716,734,416,004,855,524,701,440,496,811,
881,970,438,575,534,738,717,961,068,918,225,758,441,110,661,380,395,007,444,
940,126,667,148,924,218,223,352,487,610,725,852,894,420,992,828,510,885,174,
639,724,070,232,847,395,634,488,028,059,052,368,138,808,318,342,064,305,373,
293,519,063,727,160,338,618,956,375,938,305,285,239,395,229,383,674,812,486,
354,914,362,942,951,439,519,449,474,670,880,264,490,746,399,321,807,983,797,
501,502,336,869,469,306,016,030,862,032,662,669,963,293,826,975,499,435,951,
110,347,480,034,501,983,506,619,576,307,927,118,367,778,983,998,329,101,947,
451,258,347,164,138,785,782,516,014,368,924,475,229,920,479,291,944,584,928,
722,580,324,864,250,944,023,627,040,835,001,409,119,417,255,681,184,000,898,
610,104,013,908,245,486,075,801,005,636,088,966,062,810,671,452,556,610,478,
108,635,166,136,115,288,074,228,899,420,339,344,371,298,564,208,086,843,973,
751,357,933,927,850,689,473,185,057,924,484,603,686,889,134,218,688,052,279,
201,807,504,459,230,240,127,267,121,367,993,567,379,598,514,829,803,967,620,
871,308,996,298,801,724,535,838,507,945,179,845,865,906,110,572,203,069,356,
302,633,038,871,064,439,839,714,165,336,656,332,846,178,543,886,117,324,163,
631,187,833,440,277,774,500,224,323,223,607,228,487,853,797,671,172,347,153,
216,962,276,072,759,492,463,727,066,019,158,765,666,883,106,860,955,049,310,
695,089,419,296,130,418,244,531,120,393,408,539,527,095,489,208,080,717,162,
202,721,067,934,887,568,423,567,786,678,079,220,674,365,695,139,486,103,105,
388,722,825,417,581,461,834,798,711,137,956,167,116,781,360,575,795,727,283,
353,970,026,911,209,791,453,601,706,838,457,327,353,779,675,461,159,282,047,
268,629,072,888,073,204,629,002,035,987,708,424,325,011,237,063,962,035,070,
881,412,386,194,420,908,018,114,069,842,056,372,781,655,915,139,388,606,155,
299,576,814,050,005,523,948,598,751,328,716,882,084,376,708,969,739,676,003,
373,078,804,759,927,148,316,476,426,607,953,567,756,733,056,867,757,176,986,
857,195,918,968,782,476,143,948,441,506,859,359,529,607,546,451,932,590,395,
483,771,219,049,885,860,010,463,755,686,377,640,887,862,177,650,572,216,954,
834,274,922,183,206,314,405,996,713,253,361,194,685,942,819,459,732,423,516,
771,235,871,271,233,742,545,687,393,175,474,448,261,734,861,340,730,843,190,
382,327,724,771,142,234,742,477,584,682,559,995,247,143,622,921,996,008,483,
816,571,680,400,727,013,049,698,562,627,145,630,230,541,365,231,333,985,982,
758,420,148,342,721,887,936,155,597,373,498,100,552,956,744,397,238,690,092,
455,998,855,949,887,995,767,050,742,825,254,115,555,743,037,226,047,911,319,
426,896,909,577,274,299,296,610,103,373,825,269,413,001,893,087,291,469,778,
371,179,242,496,070,379,762,160,764,180,411,037,922,830,423,300,316,446,614,
948,714,706,415,730,585,979,542,607,334,252,790,280,610,302,075,887,136,559,
112,621,338,851,951,062,115,701,607,220,277,628,974,068,732,507,847,636,988,
704,387,437,981,607,539,463,749,945,021,622,670,892,106,358,078,396,674,202,
622,769,718,193,441,732,366,301,946,480,683,592,617,414,684,560,305,436,139,
947,814,706,054,628,415,186,364,262,376,261,541,032,199,146,538,249,340,074,
937,569,096,657,988,254,555,224,854,311,290,943,054,041,587,004,155,874,964,
005,597,974,019,457,516,622,300,331,453,645,964,782,292,721,086,912,523,003,
832,483,667,320,839,514,606,676,437,731,665,116,422,437,215,476,123,631,452,
873,046,675,257,714,391,708,138,682,732,457,007,079,312,843,166,801,114,282,
311,946,327,149,714,761,879,145,232,369,305,313,905,812,834,018,195,380,730,
362,849,811,040,997,019,402,524,663,178,689,544,141,271,559,883,039,579,152,
634,667,870,232,878,903,581,124,877,982,178,431,903,592,842,532,575,136,064,
926,779,171,633,407,740,658,451,314,540,032,622,817,595,677,308,369,403,383,
561,912,778,495,637,708,065,717,015,049,721,829,044,578,688,616,294,437,227,
010,075,697,261,634,177,923,234,423,811,170,145,839,521,441,359,997,261,288,
203,609,684,178,199,883,154,731,672,015,895,967,262,106,667,504,082,977,330,
451,648,930,234,547,355,808,853,394,013,996,647,612,759,570,390,001,721,308,
027,159,035,386,865,171,661,058,725,472,426,145,706,200,114,052,729,341,443,
301,051,440,131,526,873,229,174,587,237,058,014,479,852,262,158,376,271,128,
412,254,098,475,017,708,044,109,946,313,219,645,655,245,458,487,787,304,081,
369,593,481,408,970,342,296,458,538,084,261,235,028,803,857,573,812,852,662,
742,148,603,446,773,986,553,276,558,217,435,435,825,306,534,851,067,268,042,
694,621,575,704,746,206,468,489,244,149,702,382,598,260,179,801,785,751,969,
481,223,393,155,096,729,555,612,201,387,147,801,592,058,663,610,200,851,766,
031,171,590,682,768,584,267,394,306,372,148,601,621,863,163,118,503,748,694,
510,734,543,927,775,870,038,203,792,226,140,126,302,171,731,968,119,525,892,
170,015,476,976,082,273,654,142,362,206,907,152,530,168,054,584,590,194,988,
376,705,720,337,085,287,526,502,506,923,313,311,159,471,533,912,876,681,008,
706,910,058,446,681,786,830,141,420,113,065,985,719,478,919,377,648,389,689,
195,318,510,171,510,011,711,735,332,700,077,369,460,205,632,983,500,765,197,
532,144,630,398,338,604,780,229,959,638,604,065,275,622,143,201,194,354,564,
639,384,737,813,883,636,846,051,033,445,517,803,654,322,227,933,220,922,207,
780,761,765,015,244,620,180,431,383,545,653,743,890,333,133,108,149,768,983,
372,429,289,990,627,769,693,468,114,394,897,522,975,290,757,093,135,967,353,
094,968,724,165,951,690,082,584,399,314,091,017,638,039,121,072,632,007,100,
911,382,305,931,614,981,831,435,981,619,852,049,573,877,202,047,038,678,606,
819,120,531,781,313,900,949,080,522,451,132,509,068,357,235,689,972,742,150,
965,803,909,101,696,749,787,498,449,197,929,196,342,670,438,637,252,943,380,
262,678,624,234,663,379,085,780,449,562,865,545,711,050,969,714,485,677,528,
233,112,216,095,403,957,122,834,812,514,520,934,082,928,711,112,544,760,156,
437,916,975,879,089,452,927,891,736,486,538,707,849,703,774,740,096,426,349,
226,626,248,585,240,620,821,357,211,211,170,266,672,825,300,838,988,896,450,
540,245,753,114,245,270,542,983,163,681,692,758,727,611,286,344,238,675,061,
534,365,882,906,716,145,672,687,273,265,632,634,182,512,989,824,264,522,994,
889,816,526,422,961,748,771,334,853,102,575,544,204,118,980,186,305,374,896,
286,346,959,417,598,801,885,263,638,177,738,005,273,444,782,746,803,592,236,
738,478,350,414,012,829,609,691,284,432,680,051,753,288,486,653,383,914,927,
115,850,321,604,489,974,707,928,672,635,006,962,645,446,308,195,677,589,693,
876,346,119,287,408,448,835,556,602,157,686,335,820,584,581,745,131,006,842,
730,225,279,122,884,542,508,264,325,666,761,492,392,654,700,986,918,635,249,
771,682,092,451,853,763,467,204,192,067,143,502,634,307,210,377,916,022,537,
659,195,957,422,211,031,562,861,273,373,031,450,348,780,514,420,568,214,398,
467,067,381,397,493,956,327,532,935,638,274,201,308,503,088,073,718,193,266,
983,378,849,036,392,923,391,135,656,821,615,919,636,339,377,269,674,390,617,
799,343,877,329,472,886,333,037,231,234,039,729,105,236,773,597,588,804,934,
558,316,048,158,318,255,930,422,263,012,404,847,488,799,344,679,813,582,176,
405,647,547,199,920,931,115,494,595,341,706,946,051,516,583,871,308,389,555,
734,698,037,942,456,020,779,407,946,053,962,295,087,509,137,927,114,859,113,
349,057,821,542,140,518,809,229,289,874,191,228,335,311,700,134,776,181,591,
091,460,350,194,510,940,907,770,165,006,095,739,349,182,896,624,154,965,111,
373,196,555,850,201,467,130,833,285,293,726,806,226,267,501,602,390,992,350,
756,927,314,783,868,500,456,257,875,349,809,610,397,410,242,596,514,235,414,
393,246,298,493,035,334,400,603,784,203,135,433,739,594,634,279,387,509,342,
972,461,387,016,954,824,940,462,107,552,290,029,930,722,468,847,001,725,885,
241,892,899,906,971,094,492,317,216,818,912,782,407,683,267,893,499,932,284,
017,278,968,530,950,857,714,054,743,171,174,709,280,337,286,807,593,555,062,
740,000,220,164,933,193,926,929,199,137,004,120,686,435,839,975,058,023,874,
329,907,165,556,423,037,101,031,694,816,276,122,451,068,943,265,242,930,647,
274,103,996,819,666,583,611,225,687,287,316,940,686,917,849,768,629,462,435,
309,989,742,981,848,464,471,042,365,070,089,063,106,297,871,759,049,713,093,
624,644,174,116,117,721,310,229,636,741,290,658,370,581,227,898,867,691,589,
095,128,848,070,143,888,571,953,171,956,994,419,773,790,922,532,103,963,927,
091,340,427,902,516,703,093,235,109,858,696,756,516,304,868,428,415,988,722,
434,981,254,550,013,023,259,476,984,113,295,669,700,052,279,516,494,234,275,
674,929,573,907,558,870,075,705,086,184,446,710,206,103,043,727,647,743,436,
583,790,024,878,071,347,119,614,086,128,295,641,877,434,230,745,520,227,074,
636,923,486,598,037,341,351,652,402,530,052,090,735,499,663,782,419,775,955,
131,049,935,074,833,634,918,467,343,577,946,270,162,129,426,225,793,281,172,
151,196,218,963,900,899,301,586,679,106,858,340,263,935,317,869,526,956,583,
984,365,850,272,445,462,597,683,143,434,792,042,264,548,415,435,481,613,504,
098,591,684,498,171,215,771,627,596,078,733,235,476,346,880,033,005,855,306,
713,632,693,222,951,309,143,959,303,564,723,771,628,226,227,993,054,387,247,
049,160,805,063,771,636,965,104,463,313,588,251,233,644,133,097,764,583,986,
941,633,957,854,234,908,154,817,481,684,461,320,938,003,631,864,368,384,233,
749,634,905,682,074,016,862,063,733,084,965,433,465,848,079,914,286,759,338,
745,205,226,055,643,161,401,263,123,055,931,813,786,475,257,943,416,854,758,
503,687,392,348,687,847,945,898,262,753,181,231,263,122,688,493,109,693,049,
063,459,725,223,449,553,865,231,421,292,435,286,047,026,484,554,373,050,802,
125,455,217,847,971,097,446,028,812,285,938,808,748,770,340,980,121,010,363,
674,015,562,583,186,114,037,755,074,458,017,707,210,944,660,718,122,532,003,
684,343,705,321,814,534,015,000,351,988,715,372,828,407,492,361,434,700,138,
372,999,278,265,595,244,447,093,061,787,049,750,976,829,855,234,457,610,676,
727,707,836,556,445,487,922,376,917,426,629,461,235,167,522,804,868,877,485,
657,586,226,188,197,579,856,477,846,911,850,633,788,123,381,545,308,991,550,
466,182,836,314,370,066,441,188,221,731,177,843,611,806,562,673,305,368,217,
253,830,151,919,497,514,963,070,884,905,174,273,460,642,665,392,904,175,263,
722,019,174,240,872,454,480,718,547,574,397,938,660,320,491,636,949,414,820,
943,361,725,669,511,855,102,586,348,828,024,410,081,575,705,684,060,575,405,
898,717,716,499,645,725,444,840,435,708,510,059,365,997,836,454,161,266,941,
256,159,620,140,326,997,916,022,604,029,426,768,295,206,306,191,448,447,159,
397,030,444,820,974,995,196,052,850,523,072,304,530,548,719,211,367,984,855,
035,195,936,245,343,892,171,605,495,089,415,013,276,230,631,684,569,132,535,
940,180,509,336,691,866,986,717,678,709,474,031,410,053,217,540,782,784,962,
333,687,330,658,308,581,893,907,573,078,550,599,226,967,058,509,320,924,339,
125,921,985,973,388,400,433,698,864,716,990,642,541,290,416,286,681,005,325,
723,392,311,153,542,337,513,759,286,336,564,311,779,557,631,631,266,659,119,
179,300,638,664,430,312,889,676,082,656,915,284,736,472,989,701,282,388,236,
744,373,383,345,754,982,502,328,887,666,932,079,886,887,978,359,950,901,505,
780,211,742,459,602,550,137,304,403,885,927,623,132,717,420,107,854,622,183,
266,610,208,256,060,120,572,168,441,386,301,241,334,563,363,133,936,040,075,
505,858,631,177,068,696,304,962,028,994,827,994,564,085,016,995,074,721,426,
611,928,670,930,891,655,075,814,654,563,440,957,325,584,104,441,669,597,404,
540,764,350,999,116,206,936,192,712,831,207,703,933,151,204,619,550,303,219,
693,150,188,568,253,488,005,879,952,519,568,248,331,540,261,553,532,828,378,
353,019,148,615,352,234,273,088,233,027,079,673,637,888,852,569,691,801,164,
286,030,406,522,033,971,337,287,701,385,908,585,931,072,958,522,556,947,231,
213,722,963,309,541,507,026,669,084,809,043,915,160,750,659,899,884,862,354,
611,445,972,687,291,985,225,783,320,241,875,876,998,134,223,891,230,674,831,
732,007,745,580,838,108,978,515,211,092,128,999,514,792,364,468,631,837,304,
703,114,366,676,067,746,829,773,332,544,154,408,116,515,862,643,504,515,980,
599,407,281,893,773,379,934,046,438,847,429,570,402,554,372,259,324,734,108,
063,544,000,036,708,623,639,055,154,967,353,437,577,789,240,130,285,976,448,
477,913,754,532,796,070,157,572,679,048,204,319,181,819,369,933,949,568,139,
731,193,373,828,991,581,202,421,367,883,830,131,851,109,617,324,113,311,030,
026,079,904,198,477,735,505,081,609,852,680,060,095,172,356,592,476,248,253,
348,709,351,481,613,081,924,976,669,647,618,080,339,626,996,150,156,482,421,
279,128,956,917,347,482,399,161,465,098,352,606,427,310,121,870,071,157,391,
088,373,451,097,908,268,076,863,308,598,195,580,625,011,310,591,225,560,064,
638,172,884,013,446,499,733,570,390,629,160,478,397,676,887,350,376,659,610,
532,652,549,051,338,178,569,263,243,905,652,045,781,954,345,253,344,930,411,
993,314,407,531,637,199,055,346,550,017,536,569,197,593,048,061,592,405,436,
295,430,142,216,910,139,458,319,549,906,591,771,296,825,163,467,486,242,929,
577,862,814,728,659,526,783,515,755,251,797,785,859,325,973,942,419,367,819,
774,842,190,981,240,879,476,601,524,926,658,313,501,093,115,430,806,931,414,
123,179,656,301,613,515,898,343,420,996,067,588,049,924,681,795,922,331,874,
425,029,792,755,915,779,142,832,383,557,338,638,369,041,830,845,072,311,647,
826,252,617,213,205,112,686,666,706,509,925,482,468,254,929,065,398,270,384,
979,534,589,742,413,795,748,949,257,595,264,977,322,045,437,359,721,687,817,
823,681,411,238,682,933,130,388,323,975,544,107,391,477,120,872,645,336,224,
099,383,849,143,020,415,189,134,095,414,376,186,135,282,137,079,438,441,809,
192,365,747,465,500,430,748,327,083,190,977,127,944,764,122,078,859,147,968,
542,402,470,627,856,556,222,907,401,775,745,802,231,766,596,028,297,121,074,
079,630,789,062,562,909,423,746,540,899,870,451,773,120,852,445,163,629,333,
563,045,204,497,564,852,212,764,412,241,541,605,051,939,179,878,255,185,960,
054,739,142,945,681,446,860,697,284,340,009,034,750,960,348,233,515,121,724,
558,726,153,704,702,232,542,149,060,826,741,706,261,044,159,955,861,127,279,
144,001,000,576,291,668,692,517,010,124,042,318,555,787,702,119,891,580,196,
910,536,899,821,846,378,695,646,517,427,001,030,246,585,825,482,438,962,075,
324,270,295,635,322,093,827,093,531,523,877,652,752,271,948,969,429,912,545,
447,636,889,120,795,363,642,631,906,117,717,891,707,705,108,336,859,887,803,
554,071,803,808,399,186,538,086,154,827,600,391,918,482,955,559,558,721,844,
247,223,917,749,666,363,357,710,709,357,239,215,899,142,765,152,557,809,017,
928,407,250,210,058,665,490,695,673,832,727,394,760,670,545,891,414,208,253,
419,530,908,697,297,947,982,672,363,539,477,383,229,784,724,212,173,573,851,
825,804,488,228,191,248,395,679,905,219,369,614,759,973,852,284,759,695,445,
479,167,960,501,671,761,186,442,024,297,300,584,968,031,726,480,661,993,141,
969,810,810,715,406,141,244,879,481,626,088,038,538,343,940,264,415,598,273,
061,106,266,029,133,334,063,277,368,825,329,816,305,354,339,365,978,968,171,
882,598,450,007,437,800,739,882,805,557,258,173,982,184,536,887,860,228,157,
112,662,857,401,816,116,054,819,431,472,525,606,512,513,199,729,540,864,547,
266,509,561,449,893,149,725,606,811,974,263,770,041,267,274,659,176,470,424,
954,725,476,197,262,952,574,980,656,465,029,459,095,798,964,578,086,216,815,
877,162,640,369,146,352,772,954,403,380,203,168,853,718,380,272,613,529,940,
651,715,559,662,342,108,042,843,331,768,223,486,522,465,639,165,838,359,151,
130,435,478,241,196,413,500,113,844,038,089,374,834,764,778,791,190,061,782,
775,030,453,076,389,925,310,426,348,592,259,248,030,766,045,009,657,112,068,
009,055,786,315,062,156,368,918,474,790,553,838,037,154,564,911,107,317,301,
399,471,557,946,887,781,373,895,447,652,086,074,346,369,492,344,708,055,078,
373,423,826,629,658,237,101,777,283,278,671,631,434,652,842,141,817,302,605,
631,606,085,460,392,746,628,509,201,818,790,355,388,479,453,319,945,378,371,
870,657,067,310,900,991,397,729,304,004,066,069,277,276,528,515,862,237,688,
574,793,109,729,449,386,674,090,813,307,759,679,343,198,992,995,932,827,447,
190,753,882,189,498,813,589,282,273,189,539,236,785,551,049,250,304,993,269,
652,736,998,419,429,620,887,021,785,840,349,961,559,280,844,162,894,091,688,
353,663,251,474,475,981,009,046,548,985,338,981,729,319,091,821,019,173,934,
365,494,398,650,082,294,988,205,944,828,594,912,997,679,919,962,246,705,968,
956,882,638,365,877,743,323,381,279,239,589,985,775,811,194,599,375,406,571,
611,140,759,475,688,401,314,254,149,966,257,807,351,601,968,319,848,641,018,
256,560,659,503,101,859,945,612,268,361,604,566,125,469,480,871,233,857,962,
543,844,215,724,307,722,892,260,826,997,508,112,735,787,974,278,848,834,330,
755,606,613,347,691,712,592,304,524,641,177,985,546,532,714,490,519,915,666,
893,064,222,924,610,075,025,499,308,255,879,077,975,778,496,457,834,559,360,
652,945,175,876,682,432,141,308,070,994,937,932,781,458,057,251,478,764,541,
299,783,262,777,764,828,868,239,399,153,976,985,302,780,248,946,920,832,900,
260,884,166,242,099,655,426,066,586,451,087,152,528,638,045,414,805,363,734,
683,877,315,547,182,725,805,925,305,414,499,552,298,086,496,612,035,385,184,
693,984,295,717,332,549,930,595,116,051,866,755,969,316,493,454,906,785,127,
403,272,338,347,643,739,011,140,605,184,778,253,270,058,199,229,410,327,025,
724,285,466,799,857,371,384,748,892,472,653,707,281,170,084,489,800,405,872,
298,365,374,889,569,320,672,763,650,894,624,001,002,964,147,572,217,796,957,
220,490,248,767,493,376,350,420,420,745,505,847,110,161,774,032,035,709,933,
731,249,979,734,914,115,762,531,207,483,013,399,373,696,831,274,197,792,704,
545,344,300,920,675,602,751,109,312,986,808,843,302,643,533,620,876,308,383,
356,113,378,863,657,079,263,020,273,121,931,040,214,902,098,083,964,539,801,
816,825,557,544,268,858,494,113,128,087,535,890,383,880,458,233,453,811,550,
806,026,450,925,502,280,662,772,677,338,468,856,889,025,072,305,689,277,763,
322,894,699,898,929,411,894,283,468,840,528,987,845,185,542,732,335,820,870,
937,957,432,895,661,805,847,136,185,405,691,408,781,517,133,225,781,504,960,
189,840,923,534,955,932,111,695,412,672,518,619,518,975,697,310,978,000,487,
691,608,379,958,564,804,395,065,009,115,672,786,766,338,298,698,914,927,515,
828,893,055,851,129,478,697,135,265,310,582,800,092,290,177,656,370,221,847,
243,432,148,691,762,858,924,841,177,157,882,831,831,470,462,520,497,911,097,
707,066,232,794,580,733,476,482,852,181,690,944,276,893,024,221,903,152,296,
930,180,638,724,322,291,564,619,364,543,043,546,320,394,413,632,501,351,075,
447,509,006,600,519,501,625,229,824,026,069,194,333,669,180,950,227,236,761,
642,238,500,556,966,339,991,736,635,561,293,113,869,808,963,522,247,262,831,
258,063,695,899,315,973,277,988,987,511,476,001,714,036,548,931,860,679,921,
791,339,024,291,553,719,139,657,706,795,130,478,119,070,816,238,393,545,076,
278,407,560,114,425,022,496,117,647,477,233,759,404,684,124,206,416,993,952,
667,339,526,524,674,904,525,842,674,428,424,090,224,839,401,037,328,851,903,
408,980,936,285,506,503,175,489,910,272,662,098,707,058,489,958,552,919,059,
882,354,534,873,009,883,097,283,893,816,201,910,852,764,847,201,124,257,012,
419,715,067,706,487,710,270,810,087,286,700,553,493,196,666,363,923,543,564,
882,953,799,275,131,368,943,695,685,212,945,666,992,004,682,857,258,675,617,
360,541,398,257,827,580,407,942,814,015,863,589,875,743,787,260,857,341,466,
732,153,987,053,182,849,246,583,866,125,340,311,312,369,302,596,177,769,403,
401,631,289,846,698,746,962,025,675,070,408,600,302,213,453,684,941,931,580,
840,815,153,408,673,918,279,799,035,094,619,218,248,276,735,015,219,834,493,
072,484,675,324,576,755,368,646,488,098,165,605,244,753,783,414,842,884,664,
548,632,298,394,355,710,227,612,602,676,022,772,792,199,426,226,887,224,431,
831,562,952,871,499,437,820,312,293,821,987,312,999,720,597,974,501,064,678,
068,458,111,910,752,416,664,994,472,665,362,524,182,949,715,384,212,402,994,
516,732,120,860,252,060,221,947,916,285,607,054,729,822,646,389,468,582,592,
146,286,874,809,574,854,765,090,087,372,175,544,950,229,641,083,184,519,684,
888,686,011,499,918,118,073,823,114,150,972,825,371,877,140,176,246,064,986,
955,939,339,041,549,755,817,912,479,298,750,755,244,469,227,856,342,669,569,
503,721,578,186,810,174,407,665,932,176,586,299,976,790,079,735,182,759,885,
150,364,236,844,166,678,819,861,587,170,625,517,567,780,781,574,424,729,050,
957,646,643,064,464,400,245,051,084,541,928,933,892,845,195,203,247,933,609,
596,898,684,373,077,693,034,101,635,776,926,072,571,405,404,164,058,372,333,
613,251,491,670,810,731,485,003,427,609,668,801,166,622,372,149,967,089,609,
437,722,281,812,605,839,650,340,150,999,920,346,381,480,215,219,543,829,142,
809,554,043,690,469,769,851,144,972,064,113,363,733,113,556,450,520,172,703,
024,293,431,208,990,411,174,221,153,167,581,667,390,498,092,274,542,894,608,
646,444,814,034,488,722,252,337,746,426,967,244,994,168,657,255,080,493,378,
074,769,601,308,295,080,447,562,567,692,749,934,561,746,883,012,550,901,564,
457,970,318,653,605,879,002,670,566,135,440,173,149,302,702,684,081,458,200,
933,021,606,034,617,130,295,323,002,395,924,208,566,803,806,246,348,035,976,
312,438,685,513,941,133,370,983,323,588,345,569,481,771,590,958,696,057,129,
989,525,342,152,327,177,789,400,217,606,259,328,416,024,726,134,788,061,037,
531,051,366,693,625,298,236,520,493,006,098,640,883,505,705,837,400,425,313,
225,850,079,668,401,490,444,772,488,583,695,556,590,864,457,325,434,700,969,
593,312,476,650,021,115,273,977,023,220,725,881,540,738,408,684,371,076,851,
246,091,519,372,502,763,619,046,522,765,073,832,772,324,535,575,065,279,663,
873,510,894,966,577,713,394,623,740,309,971,634,430,905,261,864,732,919,181,
527,805,483,710,172,543,646,800,325,611,389,126,519,008,592,315,361,112,101,
571,898,126,616,119,796,612,682,003,659,679,885,896,297,149,246,712,445,498,
925,257,724,049,987,007,917,379,665,367,854,623,249,624,699,858,027,842,737,
584,851,134,368,782,121,543,083,744,161,841,748,905,654,805,457,340,952,813,
822,863,209,103,286,660,422,811,711,880,905,618,269,051,406,988,479,173,649,
591,369,874,959,518,424,237,661,958,535,124,214,184,780,394,626,902,486,869,
844,953,267,909,257,547,965,284,928,611,323,454,126,400,727,718,576,705,083,
506,070,834,841,018,872,769,057,161,704,247,360,044,983,047,510,531,823,363,
229,275,599,384,883,201,232,384,401,397,831,786,117,012,642,817,389,379,744,
865,394,196,808,488,083,169,545,452,947,043,282,603,169,262,026,357,321,948,
029,152,978,673,273,162,366,188,754,190,768,095,604,948,333,489,218,376,362,
370,735,698,956,836,025,750,676,777,381,729,206,732,518,101,493,737,613,832,
550,832,630,315,799,747,944,008,650,395,342,570,259,161,104,681,256,842,186,
466,885,064,703,099,677,706,982,511,795,728,204,397,109,132,036,034,606,514,
027,402,076,467,645,180,718,566,768,117,731,693,371,401,914,101,105,803,111,
107,215,970,118,247,415,160,763,390,351,797,857,646,290,790,549,362,938,439,
240,099,405,118,433,891,312,329,821,741,145,320,758,385,371,811,624,263,604,
468,079,751,205,258,266,889,658,783,926,921,187,078,155,131,780,543,116,600,
608,749,056,971,673,538,562,503,607,344,441,385,410,782,967,345,884,676,451,
655,871,272,748,238,055,356,081,365,581,357,400,997,049,105,045,172,412,941,
035,327,280,588,885,228,641,910,004,772,443,654,146,359,838,384,113,433,698,
227,553,220,960,196,219,820,305,323,657,535,190,558,419,562,764,380,517,398,
763,513,554,783,626,151,485,032,290,764,357,705,151,926,001,436,669,583,136,
910,021,979,899,594,767,860,902,793,207,837,523,700,874,555,572,658,783,249,
101,320,656,040,164,286,994,608,552,261,554,561,407,921,907,059,344,669,518,
370,403,972,097,247,322,421,596,019,000,464,141,652,493,190,114,262,094,025,
300,573,140,788,368,666,608,636,646,349,741,159,093,028,029,017,103,707,981,
095,787,688,038,654,831,061,666,595,206,449,317,056,611,507,838,865,914,534,
369,831,906,619,228,025,475,210,220,315,314,662,091,955,743,391,605,759,531,
178,633,794,327,077,085,890,814,501,708,262,991,544,647,645,576,022,640,052,
042,578,805,274,497,457,061,365,142,166,017,342,158,640,221,153,756,242,366,
542,453,558,388,777,472,391,080,240,639,442,558,355,656,281,639,800,883,159,
439,643,999,392,691,512,065,866,764,274,102,733,943,746,343,045,357,294,731,
138,995,500,413,000,762,673,928,169,688,957,061,933,478,047,772,578,464,514,
129,362,677,022,882,048,304,066,128,441,119,985,324,511,978,803,272,972,095,
668,067,937,009,508,480,734,899,946,026,867,307,790,772,250,097,414,761,743,
083,503,348,108,208,779,874,294,847,188,793,225,979,987,741,099,728,740,956,
199,447,000,504,123,392,354,892,868,052,191,721,901,645,754,671,345,646,019,
199,645,389,278,573,039,106,680,819,482,808,999,480,574,118,219,024,013,745,
046,906,863,949,833,127,745,366,671,816,949,862,043,112,107,886,936,333,931,
279,887,899,517,025,372,601,318,745,136,939,994,710,673,889,484,835,655,254,
600,260,619,704,639,339,604,652,560,004,756,393,722,252,783,828,414,817,824,
030,484,185,883,360,932,755,375,575,244,490,219,312,061,863,380,943,999,920,
347,913,451,162,410,033,608,738,524,064,706,348,771,001,095,430,013,974,149,
264,615,637,116,824,854,865,770,476,186,760,573,877,062,291,562,935,509,550,
796,059,636,358,833,936,150,164,845,089,063,124,711,074,427,609,689,075,999,
572,568,942,652,384,358,138,311,071,971,358,557,828,563,677,668,624,924,429,
895,363,421,307,838,192,491,512,681,777,571,728,631,260,240,741,418,062,761,
854,747,766,403,768,171,376,486,683,647,399,828,226,007,614,388,727,612,702,
506,889,341,295,796,785,917,655,866,707,209,149,740,892,857,420,307,413,931,
705,663,042,893,989,376,975,957,880,446,417,922,999,281,838,797,461,042,539,
694,333,713,546,331,594,346,087,102,777,203,762,054,786,088,952,056,552,894,
388,715,236,468,720,388,944,565,276,459,846,629,291,055,692,317,611,864,065,
992,410,071,584,625,633,949,720,312,191,081,883,438,128,455,801,384,551,948,
622,437,317,883,901,407,436,826,359,103,981,730,393,685,873,169,162,438,119,
538,998,162,054,134,747,803,630,458,275,975,074,151,079,923,782,222,099,714,
823,531,288,996,537,337,404,257,109,833,384,599,574,415,798,055,243,460,836,
781,398,096,961,916,750,226,595,428,150,436,728,191,450,164,729,395,680,276,
839,630,393,759,679,158,529,539,060,655,699,785,522,686,882,630,312,060,005,
069,012,434,515,121,256,789,354,373,186,340,909,177,557,699,360,076,198,330,
726,625,700,824,486,497,861,247,104,637,420,262,903,392,541,159,404,237,040,
457,174,386,559,004,155,407,125,689,686,727,521,280,320,074,967,445,859,847,
774,432,522,945,804,515,661,327,076,777,780,159,326,307,480,937,982,702,778,
279,689,994,130,841,112,237,625,033,955,413,178,694,402,304,204,493,145,314,
999,638,579,072,046,257,472,906,619,715,304,547,380,879,722,834,668,810,402,
941,672,538,942,141,439,857,787,515,948,659,712,623,250,404,053,905,347,902,
514,528,524,119,684,404,252,294,166,971,487,337,789,759,270,848,553,683,254,
737,997,232,255,834,844,073,385,819,017,189,169,099,161,214,195,722,237,193,
554,806,187,632,728,525,658,109,033,386,047,586,687,683,545,677,531,460,765,
297,739,687,350,020,311,972,230,384,469,116,831,594,919,020,568,853,031,193,
763,614,042,757,914,493,474,022,081,996,337,427,726,871,591,122,053,127,592,
316,895,830,405,554,508,142,745,941,666,114,973,498,500,462,160,918,620,943,
744,627,199,920,896,207,443,069,838,545,523,511,634,016,885,009,421,985,623,
342,565,794,562,862,568,794,021,844,123,956,331,853,066,981,541,430,109,114,
441,298,648,135,152,512,727,078,736,397,384,988,320,362,867,343,259,567,069,
618,120,596,625,348,161,209,054,872,859,931,293,472,813,331,324,759,337,865,
439,350,160,814,120,255,511,174,986,868,200,059,448,028,251,015,071,676,333,
346,276,015,514,092,817,985,224,306,307,826,946,771,767,338,238,042,318,244,
127,111,914,176,955,823,919,425,599,514,739,090,283,336,056,465,555,665,075,
979,182,462,263,778,519,987,605,045,860,540,029,510,637,085,296,325,598,771,
531,663,126,047,560,413,065,990,349,839,654,105,613,099,237,511,564,379,075,
448,371,884,476,204,936,011,235,076,165,394,796,325,060,787,093,948,851,169,
350,559,627,351,002,685,362,764,708,339,042,193,088,658,954,396,167,604,435,
143,658,774,162,756,184,103,777,287,825,980,558,810,329,179,078,809,544,488,
312,846,525,934,917,751,181,897,327,195,674,736,794,208,112,751,301,109,227,
994,299,765,432,770,802,011,626,499,596,724,350,615,464,801,407,819,121,108,
846,914,280,180,607,151,560,181,328,613,733,301,433,472,762,738,888,967,668,
124,428,883,571,985,111,107,391,429,063,824,259,972,610,609,752,867,476,411,
903,267,322,848,022,714,672,739,226,591,318,716,451,912,706,310,069,665,845,
184,572,935,679,720,622,538,288,295,133,697,112,517,122,567,078,184,673,291,
641,994,551,668,831,302,858,187,984,618,396,888,214,878,740,610,348,797,962,
523,207,405,148,947,005,279,042,827,245,416,257,360,735,990,197,113,134,730,
655,906,126,597,227,885,113,867,756,450,172,638,236,695,324,236,263,346,484,
103,519,435,799,491,739,047,997,788,913,027,122,498,303,989,260,976,176,548,
104,170,914,092,916,224,656,640,208,592,710,979,910,730,633,481,263,238,068,
442,749,105,261,140,751,767,122,287,270,842,134,364,250,865,849,819,318,760,
771,129,854,820,493,500,242,437,670,083,517,781,400,440,264,874,153,143,506,
035,570,321,222,581,491,827,022,103,956,334,529,219,806,472,789,481,870,702,
811,761,012,811,015,496,900,967,251,614,624,277,107,696,613,543,894,963,259,
205,302,715,069,363,807,084,187,740,864,210,556,063,718,441,409,080,187,188,
006,876,357,684,336,401,712,572,238,809,385,190,889,017,467,031,995,107,870,
071,192,658,794,677,397,797,257,066,331,648,590,364,072,106,878,311,384,967,
125,813,257,907,038,253,542,674,733,754,274,141,321,635,624,970,048,083,703,
151,333,847,770,742,913,968,559,595,541,995,731,372,578,276,623,246,904,912,
891,418,649,252,601,118,686,027,223,596,128,137,438,536,551,376,045,310,300,
356,203,492,962,988,770,985,244,064,675,214,762,219,644,216,901,092,316,637,
204,957,680,454,457,400,410,696,400,744,501,518,191,285,350,212,525,634,150,
164,256,766,850,925,263,976,883,122,101,783,661,133,762,016,938,020,064,067,
932,229,748,970,884,029,954,764,581,090,314,837,075,309,711,251,373,966,189,
530,765,481,524,397,719,526,806,820,282,938,598,702,601,289,930,053,296,729,
700,315,818,136,226,467,588,619,446,338,203,444,484,835,053,637,637,953,998,
034,759,566,473,830,042,539,224,070,035,085,051,470,399,706,706,224,345,516,
973,774,209,750,350,910,672,645,387,230,408,334,774,646,649,928,000,005,857,
594,827,140,101,559,619,837,688,951,351,598,871,575,753,054,387,436,424,415,
041,655,935,691,619,153,039,293,004,285,136,216,552,499,788,224,615,036,488,
349,483,286,155,115,361,320,180,146,418,047,534,879,604,015,423,359,217,510,
899,859,180,715,091,973,098,956,867,193,661,050,432,900,530,728,559,258,992,
453,207,181,132,867,523,477,275,991,830,185,941,831,951,070,338,084,265,536,
411,995,768,237,009,457,993,469,436,497,163,168,805,091,751,063,800,379,282,
103,355,344,124,440,576,508,550,384,533,097,988,856,951,091,137,761,595,894,
079,477,332,359,252,294,107,040,336,533,720,552,916,187,926,737,463,169,515,
905,183,815,093,779,151,115,229,247,400,445,002,911,341,088,565,079,050,363,
841,679,256,840,373,200,964,328,808,068,341,768,389,531,056,202,261,728,920,
656,951,984,401,841,980,180,804,407,388,051,637,312,111,559,445,040,095,063,
447,155,542,795,195,654,485,975,236,429,585,512,880,500,009,130,642,829,824,
040,891,262,542,391,407,104,224,352,518,299,739,180,792,630,699,767,414,116,
045,257,781,267,969,238,399,971,388,192,073,471,704,987,172,545,764,661,020,
579,847,659,442,830,092,416,387,288,623,114,337,115,655,549,865,001,380,774,
071,673,832,016,897,017,489,589,140,640,804,219,347,396,405,744,260,855,112,
283,700,537,112,023,939,694,939,594,185,901,145,060,565,783,417,407,478,971,
896,600,420,953,229,007,279,664,397,072,295,110,364,219,177,052,542,713,891,
105,590,537,513,186,820,545,519,855,744,083,144,586,348,047,639,733,255,022,
072,989,921,632,708,764,364,392,377,329,372,383,477,216,583,600,854,760,308,
575,301,095,084,197,210,801,909,418,736,461,235,698,894,988,046,274,751,627,
975,594,257,697,125,499,268,626,916,400,417,238,874,420,906,681,260,012,092,
167,452,967,324,116,972,452,692,496,633,821,661,024,034,493,110,540,538,720,
680,539,123,397,232,756,774,619,974,067,532,337,120,030,542,193,939,869,077,
324,538,236,271,727,203,137,089,937,998,064,550,408,654,311,863,367,606,695,
975,326,025,077,922,041,346,923,019,935,859,204,059,183,641,333,254,218,835,
583,358,283,043,346,829,625,871,386,671,060,313,171,232,132,666,250,213,284,
042,688,021,043,382,388,353,091,771,799,307,569,350,811,333,821,454,880,414,
395,170,371,439,025,467,626,384,429,108,974,085,966,580,710,201,921,755,196,
176,926,619,297,298,472,393,308,736,294,128,646,649,091,069,326,755,333,874,
561,772,307,615,072,185,237,808,100,587,952,109,512,248,008,005,075,367,775,
900,723,241,239,923,307,172,254,580,248,903,395,122,968,192,679,141,358,777,
588,333,476,110,108,262,911,753,469,449,996,207,299,932,504,479,494,502,835,
566,766,035,599,092,124,018,622,616,953,456,489,926,145,853,930,895,914,719,
577,303,278,589,200,650,578,250,434,438,194,384,070,955,954,380,100,885,087,
963,088,348,455,113,615,905,707,458,368,667,183,015,196,025,764,650,215,085,
679,636,876,758,641,374,916,469,821,682,841,969,429,475,515,180,733,962,555,
036,950,672,854,943,725,088,213,864,076,558,666,455,323,257,919,062,320,534,
064,606,580,406,057,735,213,096,540,216,122,561,184,050,338,617,282,932,149,
981,150,166,994,253,415,611,529,276,280,085,950,806,815,781,211,838,800,729,
338,349,226,450,253,543,879,235,193,402,435,089,979,924,435,757,436,300,518,
502,419,218,587,250,757,898,403,885,894,530,965,579,920,557,271,167,213,578,
806,933,775,391,645,067,090,669,912,950,753,549,933,528,254,210,613,194,835,
179,788,290,831,818,559,341,819,156,357,985,377,527,831,305,956,444,734,820,
216,774,570,055,027,056,638,620,483,018,026,481,955,496,093,364,474,692,828,
254,705,946,160,098,025,707,087,263,641,875,119,854,827,927,072,030,802,125,
550,233,389,226,518,882,711,738,789,478,340,661,894,419,963,418,365,980,122,
223,688,076,310,515,714,922,302,615,587,590,467,883,012,913,104,541,978,184,
271,802,461,904,865,078,851,711,610,905,773,622,099,520,840,373,932,698,496,
578,437,388,028,433,387,552,552,433,183,856,010,562,478,089,088,765,964,059,
748,425,743,583,473,751,161,642,350,763,386,381,100,820,738,024,786,192,339,
814,440,483,375,109,340,599,403,275,744,978,354,605,142,223,651,042,177,841,
488,224,853,919,542,250,434,191,181,167,291,084,008,723,591,192,388,667,116,
002,752,836,804,154,002,131,729,853,632,246,525,346,855,954,523,050,016,454,
433,058,221,847,382,835,502,075,039,083,032,679,073,863,103,653,013,729,189,
337,476,412,469,207,412,686,192,488,388,013,109,225,233,608,448,373,598,706,
240,384,118,052,662,175,881,555,844,240,607,350,473,705,839,558,692,692,000,
300,145,530,026,889,367,214,923,643,850,951,741,553,609,272,002,625,686,405,
009,060,168,961,555,243,616,766,131,383,128,587,562,924,237,319,571,337,255,
629,765,594,691,047,021,561,658,191,093,506,861,597,041,800,447,142,338,488,
795,816,081,037,878,701,864,225,953,808,710,627,344,485,371,459,844,722,024,
290,060,471,290,222,399,520,678,629,421,021,181,055,073,898,600,795,051,261,
515,817,180,220,425,688,083,871,389,439,435,704,597,526,253,956,749,135,238,
635,082,862,719,997,102,158,543,767,389,768,221,165,080,261,376,590,953,625,
977,572,876,553,448,892,951,764,163,024,104,754,673,911,510,182,999,909,649,
771,929,004,359,306,074,480,450,466,478,493,379,963,596,146,793,745,662,502,
941,452,079,686,094,816,543,166,543,189,926,826,413,700,230,141,886,821,891,
359,317,971,254,289,030,937,264,486,228,993,575,941,440,745,544,688,107,977,
804,119,943,157,352,804,835,499,826,894,380,004,591,054,411,777,615,914,356,
763,418,659,342,376,766,940,024,413,821,785,494,857,625,816,171,662,545,973,
365,809,185,643,727,201,535,027,105,912,200,242,151,992,943,893,514,921,800,
749,343,431,240,994,327,887,890,954,603,766,036,360,087,685,201,830,312,621,
284,130,363,360,910,544,073,803,071,698,517,325,096,374,955,997,705,361,502,
612,788,394,551,696,907,432,922,227,880,742,938,495,324,298,602,573,640,621,
517,364,623,300,591,270,745,495,259,569,692,256,277,998,588,040,232,144,379,
689,241,258,184,375,942,803,092,285,505,594,426,092,228,414,794,553,659,357,
240,240,532,914,762,606,001,501,671,104,136,620,705,382,715,461,440,473,137,
666,633,494,329,718,454,513,403,421,284,337,127,336,619,328,085,417,311,118,
887,510,991,292,026,637,574,098,520,229,792,551,530,948,925,886,646,148,693,
531,327,216,484,026,689,962,490,752,001,761,192,623,745,714,697,224,053,203,
715,871,626,173,581,895,628,296,268,321,402,710,248,715,805,154,975,671,896,
703,275,902,317,770,152,512,753,769,150,467,001,313,836,890,434,873,705,707,
121,320,146,470,052,652,546,461,918,923,928,584,182,616,553,748,618,561,654,
856,013,820,180,261,267,178,527,599,341,598,080,841,825,783,156,158,501,294,
727,770,060,789,889,606,827,198,971,958,131,108,102,135,122,839,554,039,444,
239,984,172,730,161,799,958,269,174,555,183,552,264,524,433,057,755,278,938,
020,723,761,392,856,094,104,549,283,854,282,900,892,836,614,379,069,452,415,
202,355,541,886,089,654,515,568,805,137,861,526,300,102,242,658,256,081,985,
047,650,489,018,477,111,678,104,323,458,883,837,693,054,171,338,360,209,015,
792,923,068,014,971,180,638,718,909,655,463,260,177,064,564,174,089,184,220,
217,931,030,892,954,211,736,320,976,639,727,892,278,133,603,674,400,952,048,
085,329,102,793,282,173,419,150,097,514,161,209,553,430,547,739,675,067,763,
759,845,479,341,026,449,967,018,350,152,925,584,109,934,364,562,342,278,194,
804,934,684,364,763,888,966,088,403,732,853,457,444,118,645,775,459,958,376,
660,986,410,192,738,137,017,502,400,063,760,411,992,549,988,050,043,035,373,
841,863,497,977,641,313,552,065,522,528,214,662,893,122,669,285,332,721,754,
921,076,361,966,123,557,042,112,508,636,660,882,141,323,068,472,732,911,275,
751,276,947,863,740,392,638,093,454,525,002,584,945,670,966,385,361,180,382,
573,978,538,530,368,407,214,957,442,138,859,445,742,400,440,484,716,738,456,
106,773,523,156,176,927,526,059,821,139,964,135,531,712,996,482,738,625,646,
719,519,187,523,991,545,285,452,487,470,948,427,101,704,849,817,947,281,904,
458,952,277,492,854,960,192,215,107,562,000,211,444,263,673,212,753,445,984,
184,006,804,221,902,408,410,110,474,623,579,542,263,318,546,088,593,438,927,
964,764,826,330,093,821,977,931,229,712,928,223,907,244,928,217,516,214,571,
210,866,628,350,200,982,175,142,680,474,315,243,137,203,145,715,362,276,201,
568,686,079,534,654,048,364,126,550,310,767,519,033,104,870,383,611,409,871,
220,030,879,122,339,989,260,457,901,672,016,268,758,137,664,609,691,358,362,
597,204,397,284,388,269,547,811,820,142,947,465,431,538,479,502,722,542,021,
048,762,976,448,568,670,702,717,104,134,453,889,722,654,865,956,815,396,595,
753,349,412,831,941,144,397,692,796,446,313,665,299,936,147,044,716,038,842,
386,677,235,638,117,783,350,666,429,816,301,764,551,999,135,157,297,193,304,
325,621,797,602,842,366,890,727,476,268,034,518,482,962,801,134,081,840,936,
983,029,183,608,437,963,094,619,644,563,688,276,618,265,167,749,623,074,414,
995,778,150,573,766,284,334,115,090,807,201,123,826,947,920,335,626,410,570,
121,297,345,395,559,291,175,041,485,272,933,107,044,614,982,800,730,094,223,
933,986,498,476,085,464,505,461,531,583,733,926,565,357,175,138,152,880,875,
744,697,660,628,790,706,077,226,039,930,219,120,820,452,774,593,109,171,431,
777,859,167,794,210,131,655,134,185,060,498,585,772,974,827,245,616,447,512,
350,990,656,205,064,030,466,245,973,207,207,447,691,883,765,054,517,352,641,
630,623,192,147,766,263,435,375,050,085,303,061,223,834,743,189,273,757,127,
644,187,833,863,393,465,465,191,939,029,345,429,577,740,087,272,316,860,051,
122,716,081,210,949,128,986,214,182,122,276,131,174,859,216,410,977,638,676,
748,765,233,039,770,244,409,850,001,995,211,096,805,426,527,938,474,403,486,
462,884,468,127,694,423,941,650,865,456,407,378,319,071,531,399,268,702,595,
641,336,096,190,819,762,632,151,415,061,713,457,088,880,157,874,220,226,032,
987,618,169,479,142,587,585,053,579,607,589,710,919,300,188,482,411,924,144,
077,373,255,983,229,999,232,568,927,591,072,424,094,008,187,166,176,961,069,
198,883,653,052,046,760,005,253,022,045,758,051,708,815,762,621,219,221,368,
267,619,099,466,336,622,447,131,312,205,887,603,832,600,235,771,214,260,378,
554,237,839,825,947,672,905,421,795,206,668,995,683,168,379,406,780,528,063,
936,192,298,568,735,409,612,426,651,583,380,444,703,551,700,585,711,041,281,
387,877,103,770,363,585,431,949,976,423,618,182,509,052,822,191,798,750,202,
141,592,413,517,688,505,680,680,195,178,897,224,370,577,968,547,508,964,244,
238,322,032,863,022,007,941,337,127,534,855,140,821,908,186,042,626,096,776,
913,102,159,644,260,294,989,963,528,531,845,076,399,974,142,738,007,402,482,
291,833,020,449,922,583,730,663,450,313,922,303,511,488,918,440,913,197,872,
850,618,595,749,601,223,636,552,728,783,346,910,056,044,486,226,366,970,812,
462,012,151,067,697,144,601,147,166,951,069,738,502,044,642,609,685,813,127,
521,175,763,540,565,440,716,221,915,382,200,435,109,892,300,059,634,150,561,
596,323,815,786,954,173,469,104,254,290,322,458,611,005,055,747,576,396,244,
767,415,324,169,100,082,368,449,869,765,606,655,806,092,079,434,134,260,608,
556,844,234,379,593,691,420,329,088,429,759,457,666,537,758,767,929,522,438,
280,184,014,086,172,978,956,285,483,644,982,170,017,862,981,012,995,661,081,
346,249,456,615,674,639,126,531,040,965,427,930,701,138,251,350,539,693,068,
938,237,862,963,737,358,522,150,508,403,676,927,286,500,529,965,699,887,923,
223,095,356,898,606,208,813,758,957,246,704,592,060,500,735,386,996,528,333,
764,786,611,574,000,092,501,385,188,985,460,520,843,079,771,448,557,813,469,
659,385,447,523,348,574,790,882,233,777,702,540,064,250,930,111,899,418,490,
498,336,749,805,141,187,348,585,969,581,001,588,703,890,954,656,079,372,971,
360,429,079,052,574,678,353,615,449,814,251,564,616,361,484,855,213,818,278,
009,709,871,108,752,079,718,932,425,500,466,877,647,421,438,757,049,720,292,
890,998,769,476,763,868,441,810,801,698,609,790,981,986,560,966,166,718,746,
035,356,191,252,277,512,690,955,481,239,449,607,346,375,403,669,792,639,666,
019,812,910,225,264,704,657,703,372,775,413,738,186,364,105,883,430,500,878,
406,033,182,480,239,537,680,917,218,171,636,697,408,729,656,837,990,219,140,
700,909,572,593,977,054,474,032,784,299,934,100,816,349,988,198,492,488,262,
748,773,592,809,535,281,857,470,372,129,628,823,532,528,266,193,392,495,387,
289,136,164,600,829,302,700,224,881,038,382,376,680,014,080,074,174,443,571,
472,762,335,495,628,159,892,391,706,822,646,284,212,921,916,846,331,434,764,
970,535,238,825,671,715,988,585,585,917,698,485,401,427,484,232,047,840,907,
624,446,309,221,669,510,167,651,141,207,485,238,133,126,383,857,837,176,437,
555,979,001,592,396,378,348,650,656,806,518,824,991,680,753,085,649,707,304,
428,713,366,097,018,852,776,469,505,106,851,559,570,631,713,326,611,310,448,
498,697,343,334,568,801,797,587,711,292,684,091,447,308,735,730,608,042,575,
517,002,582,107,875,404,970,504,736,364,800,700,755,594,171,547,306,132,300,
404,764,282,440,031,126,690,205,594,457,695,775,401,183,072,539,075,781,081,
471,431,560,861,140,977,402,012,563,457,272,585,715,766,280,708,840,337,686,
970,410,202,771,069,161,922,969,727,045,575,789,067,049,007,171,178,259,255,
443,689,060,033,944,423,821,410,367,266,157,535,038,303,327,224,367,351,010,
545,269,051,716,621,583,904,063,749,916,650,821,528,226,316,543,989,696,913,
777,935,850,062,374,881,848,012,389,473,008,410,220,864,283,903,474,065,525,
024,365,800,877,655,056,171,360,442,293,283,528,072,501,596,729,412,176,290,
163,779,966,244,822,408,452,332,813,736,313,747,285,931,603,055,159,867,599,
085,109,705,080,629,649,693,382,047,447,039,591,628,372,753,078,594,878,232,
412,434,793,964,419,445,719,420,884,758,158,548,264,814,003,460,211,660,785,
212,074,850,411,799,497,180,277,510,281,501,155,107,376,605,893,559,663,372,
609,971,486,752,216,722,283,716,543,511,195,830,090,047,595,207,520,999,615,
988,079,359,645,805,394,296,222,611,360,589,376,478,350,315,818,264,260,401,
638,833,490,240,776,383,566,362,628,968,372,419,171,944,242,575,994,262,169,
231,514,317,128,458,724,155,498,551,532,492,777,637,404,973,394,893,481,083,
303,364,635,751,822,984,062,566,150,557,035,542,263,998,087,346,049,918,121,
304,384,508,254,459,597,784,205,073,249,539,381,227,754,962,179,061,773,136,
612,540,642,847,781,348,245,147,229,971,675,271,171,018,395,418,955,794,391,
531,864,896,804,399,267,039,653,969,099,168,984,513,208,449,449,618,117,219,
791,368,325,270,770,164,404,663,971,422,853,230,219,758,558,161,157,626,537,
424,032,823,898,051,910,332,245,571,662,939,063,917,980,668,942,054,636,538,
308,450,657,026,773,263,495,261,843,035,946,010,580,673,930,868,776,981,566,
556,182,619,776,080,447,459,319,026,520,351,985,673,808,199,262,353,189,591,
863,603,302,710,735,586,627,472,529,472,681,943,784,609,078,667,117,614,738,
875,918,779,716,610,771,729,942,552,937,207,173,445,453,565,740,397,826,591,
761,194,337,021,730,196,626,011,259,690,859,299,184,903,191,560,218,144,805,
708,931,744,005,468,508,618,343,216,757,621,486,128,961,542,278,938,950,378,
439,082,739,564,663,169,636,812,328,449,618,552,863,072,469,741,186,795,734,
986,233,805,582,691,435,188,664,438,412,374,146,732,960,436,631,307,919,667,
774,454,680,594,385,274,747,030,139,645,208,616,042,454,005,489,058,881,653,
832,668,282,619,568,042,492,210,557,405,222,185,390,495,636,661,983,814,574,
105,947,791,962,998,630,125,391,797,916,931,518,588,290,250,395,621,477,437,
268,875,914,896,241,542,097,161,891,793,093,300,302,707,891,921,530,408,888,
454,671,051,608,791,522,847,334,764,902,450,614,277,957,656,885,837,885,591,
740,978,545,971,844,537,990,603,722,464,311,300,968,861,557,823,683,740,494,
492,742,670,034,278,219,569,911,005,615,181,392,528,564,231,269,554,947,307,
108,490,075,998,017,442,807,927,027,080,334,631,129,008,996,111,877,601,982,
327,935,894,474,116,100,963,839,055,532,560,636,430,431,095,668,396,886,028,
134,839,752,603,979,026,738,585,107,642,734,681,903,591,733,714,817,104,161,
264,479,005,043,938,174,368,762,935,125,802,485,994,034,028,096,910,771,051,
532,123,492,732,862,435,875,434,512,056,936,552,347,080,816,471,488,477,291,
587,903,300,312,948,508,790,610,903,899,760,108,341,289,843,914,981,053,876,
918,917,757,195,572,903,056,496,048,332,189,154,124,218,724,444,950,460,282,
308,273,459,301,211,023,367,902,927,575,875,710,480,030,082,920,423,919,290,
789,809,943,192,226,483,561,661,030,693,651,178,767,407,059,471,502,013,775,
720,038,286,149,730,665,471,768,075,323,463,270,124,136,822,895,187,308,708,
798,940,065,281,254,571,238,567,142,664,955,842,272,419,778,019,133,356,828,
868,598,216,992,713,995,290,209,901,536,981,067,941,462,944,600,252,933,371,
470,624,307,808,758,143,476,293,738,379,916,440,791,554,579,103,501,499,827,
265,359,197,144,916,250,773,402,305,422,390,384,061,824,176,856,914,688,559,
566,441,183,928,587,066,114,425,309,471,549,725,781,719,276,573,562,108,671,
610,418,619,621,442,001,464,945,287,532,062,746,114,366,799,987,545,668,588,
300,664,675,048,007,773,309,670,357,887,817,119,555,667,252,484,512,995,700,
105,335,406,011,017,920,492,326,528,815,864,022,199,136,379,323,438,981,065,
806,721,230,599,067,797,491,640,562,183,162,364,983,033,063,896,350,778,893,
739,855,410,384,419,461,053,406,190,084,208,445,896,755,442,691,296,804,374,
173,169,092,434,682,006,127,300,641,936,770,677,874,036,925,243,558,855,180,
163,929,975,382,891,168,038,646,411,143,862,028,433,812,457,496,045,725,697,
618,346,033,855,321,859,231,496,354,574,435,056,659,801,451,752,300,620,982,
768,956,003,660,932,502,909,460,836,215,683,399,973,552,284,431,508,195,201,
071,221,733,943,957,342,889,613,345,452,411,225,216,659,634,329,020,892,490,
274,707,764,500,123,639,900,765,009,638,717,058,830,706,934,205,054,382,845,
163,502,540,010,293,521,133,505,410,537,052,417,969,276,272,562,707,557,750,
126,141,769,685,293,694,659,798,188,173,168,241,839,065,601,382,361,857,780,
173,181,387,104,103,950,268,444,283,285,787,840,469,350,578,826,459,890,668,
398,404,414,991,279,771,478,575,422,440,422,441,690,174,966,162,710,253,734,
621,203,897,913,901,154,524,466,914,148,740,692,444,011,080,766,951,393,946,
135,148,622,636,509,492,106,001,744,643,300,413,242,916,899,082,253,045,470,
130,712,199,648,361,987,581,201,625,248,507,809,087,384,687,734,301,089,269,
870,613,928,502,248,062,415,770,344,484,505,678,722,925,034,495,852,282,580,
673,669,098,571,410,213,245,943,183,080,390,808,215,049,713,048,143,581,175,
745,368,897,075,934,260,352,775,192,427,761,360,837,538,597,046,607,110,220,
352,668,125,655,032,390,557,594,746,587,915,325,691,791,046,147,845,984,699,
591,681,118,401,211,856,820,783,571,869,757,893,781,507,948,117,567,386,555,
141,818,407,108,808,999,622,917,947,748,969,215,285,637,519,448,766,094,168,
741,685,581,096,087,402,131,149,766,926,362,218,917,416,822,364,190,053,754,
299,871,665,774,946,067,979,312,092,622,166,779,678,860,478,844,422,980,647,
164,055,697,585,090,822,074,757,543,964,000,320,475,172,444,737,292,081,873,
625,690,156,505,668,557,718,617,046,980,827,069,747,344,473,956,557,574,830,
052,553,131,713,210,466,833,012,816,419,238,534,744,263,494,936,742,340,147,
324,523,244,499,841,286,757,681,136,683,655,979,683,444,166,101,618,293,928,
504,161,435,456,146,626,342,763,837,591,330,787,157,672,935,548,270,601,408,
987,989,083,076,582,045,901,953,922,848,226,899,020,563,026,670,553,667,527,
699,752,644,795,935,363,471,296,451,077,857,128,691,901,855,415,421,013,102,
317,663,959,396,108,149,882,704,489,518,883,264,592,526,620,048,247,723,173,
368,147,885,276,369,885,198,090,857,256,223,591,059,435,204,264,940,041,142,
056,069,364,831,955,721,038,309,229,484,639,282,116,347,030,184,389,789,914,
356,427,509,474,014,824,630,414,051,371,206,711,650,841,335,989,940,317,062,
817,692,775,859,269,050,368,225,579,635,546,692,290,657,932,666,843,849,019,
276,054,010,768,592,509,269,700,508,552,717,163,154,512,024,739,229,481,992,
876,890,259,135,536,736,962,439,419,500,275,360,237,853,316,581,718,928,370,
169,991,421,609,649,947,072,304,628,329,647,403,990,203,264,351,645,274,959,
837,781,226,475,815,239,370,592,491,323,179,234,075,500,733,213,644,353,602,
863,958,820,718,227,932,588,014,942,505,107,062,583,357,015,851,948,984,098,
901,959,491,999,690,786,161,856,208,294,703,712,358,415,488,949,295,834,856,
022,165,446,795,136,128,941,568,126,799,744,006,873,328,136,915,674,143,001,
537,841,253,325,619,725,957,731,580,816,368,454,825,639,687,164,231,201,650,
746,299,737,962,567,022,580,795,073,306,546,865,912,888,955,532,448,357,791,
978,555,815,788,633,239,512,908,920,217,090,201,577,540,495,975,532,415,506,
869,372,551,216,554,439,633,185,892,598,115,621,007,227,035,223,517,395,140,
903,099,770,856,104,535,999,684,945,095,028,689,804,808,982,151,864,005,814,
846,112,583,630,054,471,249,889,986,721,274,975,552,251,012,484,658,508,464,
037,584,584,773,845,394,377,726,538,473,084,545,332,604,533,864,159,209,519,
725,156,849,510,499,787,471,619,958,026,933,936,718,273,762,047,488,822,902,
448,621,120,756,086,931,504,445,854,629,881,337,519,382,380,081,823,852,040,
330,135,064,317,689,319,444,601,996,116,131,362,069,484,769,420,010,861,367,
963,692,804,455,717,312,062,196,289,684,163,354,593,732,433,243,850,477,418,
335,996,290,760,150,273,107,598,841,935,950,049,984,464,585,827,387,827,272,
614,272,079,269,898,993,513,535,991,759,412,938,062,574,852,676,695,869,683,
259,555,799,335,558,059,290,634,798,328,724,659,587,662,573,470,858,625,577,
140,873,840,849,930,828,008,758,493,542,203,652,433,953,291,809,531,648,205,
011,137,723,251,724,220,217,718,619,808,115,896,073,543,963,540,821,225,447,
894,053,688,511,644,622,084,719,145,565,726,467,636,868,052,468,204,150,842,
247,431,108,224,569,618,280,471,359,118,234,334,437,273,028,361,272,830,267,
021,315,527,395,048,329,848,033,579,102,100,040,464,761,069,864,259,789,357,
528,275,478,837,464,055,120,089,024,191,566,840,333,270,567,120,158,893,274,
077,476,886,735,668,462,162,712,919,901,753,268,571,698,990,223,224,338,020,
564,307,520,786,807,271,624,437,641,731,072,007,619,871,490,317,728,902,564,
336,212,408,874,348,820,037,535,944,598,586,967,513,727,558,653,146,718,977,
483,265,408,804,238,444,984,094,611,517,939,446,596,203,793,537,875,315,032,
224,521,905,902,319,944,597,191,989,299,806,263,085,492,313,800,013,675,525,
695,188,931,250,127,200,603,503,785,018,413,264,666,197,899,516,723,282,687,
064,031,624,933,111,302,303,005,543,447,088,249,735,694,228,608,362,120,115,
788,036,536,858,579,638,522,237,594,522,874,006,826,899,001,701,871,094,506,
102,055,375,778,247,193,286,845,141,105,724,526,775,629,198,630,688,334,769,
497,085,942,404,550,794,619,599,525,486,922,976,078,168,754,154,097,752,617,
574,243,202,619,415,516,793,736,415,483,334,316,695,462,974,744,486,785,287,
986,153,433,838,652,628,398,527,480,829,809,756,654,247,263,315,067,277,437,
300,002,580,859,747,501,438,505,747,953,211,230,961,717,757,529,554,765,965,
304,717,555,469,840,990,929,047,761,091,642,270,300,132,542,900,371,170,552,
239,179,743,425,113,058,463,352,863,834,885,531,340,344,524,349,887,896,821,
718,138,989,404,136,782,497,945,884,175,402,836,856,449,007,546,229,413,346,
524,067,190,179,523,403,332,757,084,963,042,299,982,665,923,828,378,397,129,
476,549,996,873,990,037,618,706,619,914,625,205,305,326,251,385,801,853,145,
378,312,668,622,935,461,221,815,765,930,508,430,716,450,123,503,695,836,729,
207,651,064,229,241,509,026,633,368,603,051,280,775,957,068,792,876,508,087,
035,221,924,653,097,604,836,842,537,966,445,634,446,217,291,828,026,373,976,
809,257,354,782,846,482,997,283,670,495,321,143,139,657,813,966,025,254,108,
314,278,443,217,035,725,222,949,226,721,139,408,620,556,168,590,407,689,789,
866,565,603,924,436,283,953,985,202,204,918,063,618,172,663,914,894,248,568,
395,014,901,133,166,431,576,107,538,885,798,164,951,296,887,287,574,382,617,
053,465,157,626,483,565,435,550,172,422,500,354,966,954,427,996,896,332,683,
291,149,482,288,910,334,531,237,999,651,488,399,291,157,852,283,345,686,098,
350,740,082,867,358,530,318,294,095,622,355,262,432,563,538,642,874,779,412,
150,072,998,101,396,416,865,400,181,519,715,908,696,473,128,770,533,252,846,
095,869,291,441,791,416,817,523,062,391,355,348,458,343,076,887,221,969,137,
900,397,753,076,443,164,581,684,877,149,373,729,812,420,474,964,483,386,465,
795,116,370,749,237,341,315,572,736,841,564,241,384,251,611,238,576,011,814,
935,589,661,740,465,253,703,273,075,244,968,094,157,004,511,492,780,829,053,
369,252,592,033,704,633,076,144,883,410,325,197,733,605,715,437,842,876,957,
995,478,882,966,103,346,006,232,843,945,232,014,250,706,939,464,382,159,092,
308,346,905,077,744,405,735,995,359,825,304,137,034,055,889,355,698,268,910,
568,883,811,610,657,712,677,836,502,131,244,697,184,633,664,625,507,141,118,
959,775,943,848,088,821,910,464,815,520,259,018,877,885,069,068,159,111,939,
390,206,229,373,166,307,638,859,246,076,454,172,070,000,009,107,527,600,976,
889,452,794,122,299,185,836,974,656,998,293,154,084,354,869,984,233,641,463,
505,196,230,271,525,098,339,955,680,477,662,312,263,487,727,229,454,212,250,
317,797,326,896,121,685,773,813,305,537,349,956,527,789,250,965,487,297,813,
848,975,020,147,075,156,461,563,827,089,205,734,658,929,198,090,624,658,930,
794,470,811,309,533,785,128,132,788,708,060,941,801,610,687,805,151,566,599,
648,970,305,003,693,790,065,742,609,687,609,916,241,156,712,496,474,534,839,
992,302,121,443,608,032,338,571,589,897,627,350,771,775,094,383,261,253,197,
524,954,482,672,875,303,185,438,548,099,143,659,066,465,867,886,832,197,522,
912,557,384,793,637,156,164,672,163,321,324,539,482,660,361,620,991,274,283,
189,424,905,288,512,113,363,805,881,291,744,666,117,344,130,636,239,018,715,
434,012,902,694,899,262,512,442,200,561,474,458,865,240,762,169,621,913,651,
650,559,081,210,451,209,817,719,291,453,733,865,817,809,161,253,955,455,698,
446,679,635,229,038,984,608,942,776,101,702,341,968,632,009,752,514,934,870,
952,891,620,409,446,271,652,726,531,260,406,351,359,672,949,178,990,726,241,
992,309,586,542,376,965,395,027,477,070,564,811,412,238,771,266,930,628,339,
680,646,032,536,184,466,319,779,800,610,966,533,942,240,435,243,331,304,182,
130,588,235,969,509,039,569,287,243,032,794,817,607,406,644,889,282,293,690,
379,683,114,284,491,014,310,615,287,748,857,605,613,391,872,806,277,135,597,
285,252,477,963,324,531,658,157,875,509,997,706,508,969,380,458,296,498,905,
629,181,014,516,475,662,338,847,369,623,282,936,095,082,737,474,861,319,983,
197,853,119,935,955,193,363,741,818,830,106,005,173,933,285,101,087,853,114,
718,911,294,284,272,959,184,424,729,688,827,126,189,673,038,608,150,112,211,
256,782,788,367,973,165,219,294,263,835,400,408,184,776,997,066,736,904,999,
941,296,247,645,423,294,486,065,386,471,838,745,215,062,392,780,252,943,018,
380,055,055,365,546,763,271,560,916,303,782,118,955,005,144,709,935,471,441,
822,465,169,253,282,612,623,507,120,211,706,864,313,927,507,202,668,182,822,
219,951,123,097,885,612,648,719,253,093,071,140,778,957,258,034,856,706,551,
576,183,041,798,574,910,516,824,243,116,622,977,530,261,855,170,352,112,604,
799,866,396,577,027,099,235,205,981,489,873,224,685,523,451,658,473,264,831,
772,503,434,252,135,183,614,846,396,222,636,913,398,089,599,078,022,027,270,
133,943,554,551,389,665,346,444,252,320,398,302,074,851,060,924,021,337,439,
919,185,325,431,293,749,252,239,714,970,756,445,254,435,731,271,171,556,484,
712,172,455,651,692,344,905,718,986,185,153,080,382,903,175,046,889,421,064,
758,711,977,740,595,303,682,570,360,946,425,234,712,980,979,694,738,338,013,
983,478,618,462,223,212,134,443,086,016,504,506,791,983,188,753,462,670,220,
446,475,207,447,149,599,910,837,955,150,950,935,412,050,517,390,967,211,639,
545,340,276,219,162,907,834,647,314,615,847,450,488,492,373,232,287,578,521,
134,521,356,655,632,241,265,770,383,870,027,035,908,192,270,163,701,319,256,
625,030,961,231,337,848,579,254,710,206,629,095,590,797,946,133,379,563,042,
232,122,527,688,686,602,584,662,673,736,577,227,278,312,002,827,893,365,711,
207,361,413,579,621,543,714,911,754,476,357,958,339,877,581,249,007,198,904,
592,360,408,493,439,218,307,500,474,622,037,398,873,540,274,511,612,714,749,
192,026,739,502,495,598,931,604,650,596,022,002,914,515,372,348,909,275,089,
609,530,745,026,993,323,032,352,399,486,792,214,384,066,297,591,179,475,222,
116,585,046,308,222,104,437,892,363,661,329,467,511,233,775,660,648,664,709,
617,683,506,265,876,621,419,227,755,594,073,926,106,683,597,257,034,354,042,
489,279,743,067,309,838,252,752,681,281,459,572,769,754,433,825,469,428,003,
722,472,835,511,687,653,771,953,025,755,012,159,155,478,937,053,441,704,740,
270,861,455,986,817,290,850,144,130,287,184,454,763,739,077,504,969,296,598,
302,479,944,016,601,588,899,327,068,699,072,016,873,875,452,595,119,656,843,
556,939,214,402,077,454,911,614,894,524,059,156,009,703,728,212,270,202,043,
037,828,555,176,255,247,107,224,454,285,360,470,062,418,343,428,372,335,941,
763,739,855,053,061,633,310,261,226,586,750,734,147,769,298,247,177,224,459,
760,832,352,587,385,495,634,428,816,862,674,055,798,644,392,687,413,476,328,
012,518,092,192,230,673,033,130,963,663,330,849,073,806,798,073,441,591,480,
776,922,373,599,565,787,243,884,558,138,994,522,455,990,524,653,477,235,425,
091,691,314,610,532,112,368,899,511,008,606,582,227,059,801,278,452,698,353,
160,609,567,572,817,865,699,454,755,178,988,271,318,285,486,495,601,359,125,
600,495,880,166,149,235,008,696,949,383,998,266,046,860,458,312,732,126,495,
638,258,437,495,669,607,507,445,316,946,831,675,393,215,145,088,245,991,077,
725,658,680,573,226,578,692,474,779,094,651,798,192,234,782,060,451,209,010,
801,745,813,644,513,094,860,217,290,781,963,645,066,050,798,018,711,369,561,
348,846,586,497,335,436,800,502,756,552,523,371,645,513,793,407,044,658,708,
061,029,493,788,448,276,583,903,826,697,154,631,126,877,399,937,145,736,828,
509,051,683,495,832,939,063,852,800,475,392,646,864,885,813,593,232,243,988,
536,220,111,056,061,623,636,672,231,451,781,642,399,489,592,518,236,405,307,
525,406,805,826,350,837,310,584,088,531,207,608,380,640,546,866,083,701,313,
987,291,495,409,658,908,939,491,161,909,485,289,833,225,511,474,031,992,474,
289,342,213,847,935,337,074,595,174,656,776,487,014,257,761,240,177,094,623,
894,602,507,956,188,707,116,851,606,862,697,423,123,582,093,303,792,188,297,
867,101,490,048,415,520,960,072,313,529,096,317,881,009,778,251,820,792,691,
488,531,324,744,779,804,296,557,128,375,997,637,870,555,777,048,476,722,854,
340,086,809,688,632,030,070,962,758,591,369,321,602,088,604,405,489,841,879,
674,911,856,937,515,176,626,000,481,237,665,815,811,685,844,019,637,487,178,
587,237,797,913,856,860,843,306,384,385,147,542,295,969,472,004,521,783,241,
963,953,134,934,577,262,919,610,031,107,392,899,624,820,441,307,014,825,674,
578,431,853,172,800,379,210,091,739,552,461,335,157,046,210,925,607,175,182,
031,187,465,698,973,538,886,528,211,199,761,300,233,390,247,475,367,846,202,
792,356,403,560,080,251,342,783,914,747,067,141,934,215,088,282,923,762,024,
213,849,094,391,660,184,565,111,341,109,578,563,758,783,627,510,611,084,432,
957,406,965,708,169,701,327,988,546,631,564,968,322,813,604,303,991,450,428,
703,321,172,464,739,758,552,739,688,870,789,563,246,942,853,290,622,930,680,
240,813,664,062,558,489,739,495,776,215,042,082,230,040,611,979,680,970,048,
199,311,753,863,943,173,496,865,169,640,515,516,709,958,253,509,922,227,724,
630,918,679,901,287,584,830,677,717,343,040,268,281,167,371,185,311,805,768,
629,137,354,828,113,670,581,551,248,368,400,392,224,693,181,133,652,809,219,
739,813,613,068,346,990,402,066,601,658,515,259,378,859,993,300,623,779,935,
925,591,345,317,644,480,377,604,544,045,745,143,374,266,165,313,163,727,519,
860,471,577,309,683,623,401,487,216,330,758,325,788,496,415,264,722,895,870,
811,676,967,389,122,836,589,203,029,618,223,600,466,461,745,201,239,273,670,
740,184,341,047,977,914,344,427,571,049,702,314,272,619,337,370,635,059,687,
456,101,323,843,844,405,892,014,291,329,073,181,141,831,027,645,442,648,931,
721,062,787,168,435,942,412,022,289,249,326,890,459,695,033,678,782,510,658,
963,433,343,582,225,068,751,831,153,156,276,909,033,256,056,971,715,732,244,
067,568,494,118,831,788,423,692,274,264,411,774,802,863,825,037,759,035,079,
738,635,133,853,115,098,280,788,009,986,622,842,179,945,548,656,068,444,107,
710,139,727,690,355,069,602,662,003,493,095,204,477,308,293,574,639,708,419,
147,506,092,630,520,650,021,156,340,542,763,864,940,197,053,172,693,365,502,
769,163,029,996,734,011,414,802,371,115,197,502,443,625,762,497,352,167,729,
394,230,514,246,180,820,237,794,553,581,350,298,523,063,789,275,024,513,017,
407,424,939,091,190,630,846,775,014,416,288,008,215,809,984,333,397,982,638,
101,964,981,006,692,310,573,858,888,548,493,674,773,310,281,125,479,646,219,
889,578,098,805,580,012,603,200,662,786,523,095,515,180,258,274,701,684,805,
162,247,935,023,080,652,861,553,650,342,726,050,307,826,010,878,196,331,354,
461,018,856,365,360,951,868,582,521,263,065,298,349,664,112,184,757,384,429,
907,630,993,852,399,725,942,198,886,753,869,570,150,734,085,245,649,668,300,
605,652,256,045,500,338,570,435,465,944,496,942,053,125,643,625,851,271,646,
368,112,122,007,035,216,543,928,226,964,967,438,353,105,857,617,530,321,910,
982,570,549,076,713,452,855,614,706,232,643,800,856,568,111,035,579,764,472,
007,507,277,787,542,434,855,190,404,913,215,205,349,900,942,991,430,104,807,
410,060,174,581,176,056,285,594,834,628,451,211,403,745,644,813,726,397,125,
030,152,294,812,732,551,488,809,404,781,029,118,073,908,995,897,398,706,413,
958,924,763,802,315,065,306,877,815,415,734,045,728,476,163,351,982,848,665,
187,207,511,534,803,181,996,608,372,658,437,843,918,194,520,781,818,824,340,
633,087,641,838,268,117,308,423,739,421,631,528,898,997,999,168,980,750,047,
467,510,003,847,598,231,140,157,839,684,646,405,126,777,738,307,059,323,993,
692,657,226,073,054,302,177,225,048,843,421,773,466,553,817,313,350,880,156,
007,995,818,281,669,704,483,816,246,456,183,920,368,712,430,688,730,609,752,
612,235,919,586,393,137,888,903,836,087,353,796,588,481,613,509,052,648,338,
337,415,995,690,625,379,992,259,455,008,201,858,739,800,262,274,625,473,708,
440,044,648,926,136,564,709,654,372,931,909,731,221,400,272,339,534,089,496,
464,835,312,425,390,109,817,771,147,264,230,552,150,704,683,251,337,044,406,
257,325,594,508,428,296,412,700,794,581,511,733,459,465,763,657,401,588,959,
712,383,249,015,619,275,624,426,728,727,997,885,608,893,030,731,951,968,523,
581,077,804,598,909,956,414,290,457,249,953,412,024,573,927,698,062,625,793,
351,142,941,338,768,564,551,740,856,333,791,591,511,952,556,700,838,098,161,
477,251,815,720,474,145,501,064,891,500,341,220,504,028,514,712,567,711,851,
031,263,185,836,385,057,334,491,536,712,577,220,973,712,700,856,533,831,038,
484,210,053,784,773,996,868,745,300,504,772,266,761,592,995,969,573,365,831,
696,378,886,904,006,434,553,734,505,798,358,422,841,889,636,073,726,965,544,
680,724,079,637,688,075,506,106,470,133,549,147,834,124,105,428,536,121,443,
695,048,102,749,866,832,608,498,090,750,063,109,504,234,290,340,868,231,371,
866,418,692,115,809,707,715,466,332,056,104,713,177,042,035,871,979,684,435,
754,685,867,216,615,357,226,322,669,470,955,295,073,497,756,119,023,942,088,
317,602,849,815,537,199,825,300,700,163,861,540,053,115,546,402,584,549,630,
088,968,898,291,217,438,364,047,021,773,527,747,619,321,420,283,840,619,155,
129,095,839,405,655,389,783,279,931,517,243,792,711,171,814,104,611,343,595,
397,788,841,844,172,276,183,853,526,274,954,878,815,646,640,644,710,301,914,
585,451,324,205,701,085,320,476,354,721,982,776,209,045,926,127,399,786,320,
755,235,423,313,852,162,208,014,120,012,162,291,652,577,974,884,385,259,313,
508,465,158,174,135,258,822,383,653,203,649,190,562,066,684,843,686,095,186,
662,297,512,143,742,496,030,265,896,864,421,118,149,659,358,073,404,054,005,
369,102,320,278,561,159,250,018,068,324,162,294,334,632,876,740,267,278,692,
283,784,188,391,540,502,803,426,563,965,773,639,413,465,230,744,730,962,417,
357,373,571,830,863,854,326,222,284,476,497,362,279,151,582,599,857,689,399,
002,204,305,029,175,004,372,481,094,552,606,088,202,864,462,305,211,465,158,
716,611,650,267,341,222,910,375,412,042,672,320,870,068,916,215,884,294,789,
039,898,618,908,510,428,291,794,321,674,864,319,764,587,583,199,592,598,935,
561,826,633,743,524,801,364,329,993,204,134,464,651,357,204,381,843,623,996,
260,188,016,677,943,193,412,884,133,097,583,605,987,157,834,106,711,706,307,
707,604,910,185,189,796,077,258,383,444,840,315,617,218,461,419,180,968,781,
519,214,624,233,345,012,494,314,084,740,936,782,656,027,698,567,145,441,822,
191,140,587,225,839,942,188,031,010,792,175,499,804,967,407,148,806,205,774,
575,735,287,095,669,861,709,131,600,043,234,019,007,717,392,267,805,741,375,
686,984,372,548,780,205,479,696,690,029,279,851,842,303,430,763,992,053,852,
998,185,704,211,530,787,647,886,899,412,351,142,725,683,513,526,380,906,992,
149,973,272,656,214,663,170,570,898,603,108,576,432,042,396,973,656,866,496,
525,249,273,037,035,112,744,632,268,026,002,865,861,862,340,813,409,315,516,
552,507,152,282,408,985,979,364,254,336,936,441,048,454,191,721,348,391,290,
006,512,771,492,553,641,781,177,529,158,644,066,584,320,856,268,703,998,588,
006,581,861,930,452,204,290,193,532,605,929,904,497,955,923,975,731,078,239,
319,922,558,952,510,192,772,733,154,304,706,358,464,691,809,365,400,746,252,
741,473,803,432,021,669,636,609,226,601,649,140,574,501,714,628,869,406,452,
980,743,789,143,025,085,538,414,060,258,591,441,282,610,061,735,731,356,312,
008,013,578,073,696,188,679,224,795,805,536,651,285,743,568,057,325,525,247,
214,278,435,846,485,280,830,737,475,175,385,916,229,860,463,319,895,173,809,
443,755,122,001,194,571,585,861,272,983,145,289,857,900,545,374,520,487,284,
859,111,148,376,004,986,915,463,570,790,353,840,613,386,397,083,348,989,518,
149,871,562,824,125,297,993,268,899,013,673,258,464,704,353,263,045,498,650,
674,099,516,507,388,719,671,158,869,990,609,040,458,022,555,533,922,739,864,
363,168,251,598,019,797,074,345,845,667,590,841,993,877,920,826,515,130,668,
165,737,090,699,095,069,475,551,516,415,339,853,267,644,401,098,209,929,468,
413,931,628,520,182,980,556,521,752,244,082,668,062,248,009,251,161,063,866,
433,730,357,877,856,332,539,971,543,804,820,772,586,709,605,115,067,467,747,
610,741,180,740,297,944,663,040,416,124,893,029,387,268,788,789,069,716,958,
696,037,983,957,441,137,942,084,495,852,530,914,660,870,671,410,128,516,302,
402,698,930,729,814,480,903,083,134,598,532,486,443,697,729,374,973,671,167,
672,461,068,629,602,965,177,811,535,065,013,686,749,870,662,377,970,058,281,
365,845,298,427,384,696,538,376,403,734,614,964,407,325,067,279,515,165,517,
265,649,420,602,353,217,455,735,301,615,017,608,167,357,581,360,280,167,403,
610,429,874,213,368,778,110,543,924,303,627,594,403,607,278,890,125,168,897,
144,246,079,091,730,727,949,315,187,828,754,852,422,065,333,827,968,591,920,
575,290,854,091,783,286,213,151,904,410,719,797,033,013,364,059,694,111,510,
965,252,459,871,302,398,246,410,410,002,518,138,935,107,120,038,495,343,221,
852,960,257,347,278,847,126,022,892,290,955,828,793,205,715,367,738,691,673,
973,588,939,219,561,873,253,094,594,026,896,466,229,806,866,270,818,163,887,
443,156,565,541,731,068,149,510,181,041,414,849,561,849,287,443,914,315,618,
528,470,437,598,604,689,566,609,058,615,476,137,724,237,789,240,739,239,671,
048,232,434,623,352,471,639,309,298,276,082,976,800,230,051,643,330,550,692,
058,816,580,597,675,398,572,299,828,083,221,197,446,046,163,350,194,514,844,
212,797,787,150,337,567,310,826,891,695,500,154,079,226,498,961,739,928,940,
027,845,223,784,172,752,607,523,075,344,371,795,142,015,894,739,689,134,060,
191,695,290,659,448,643,494,281,324,374,955,436,569,792,846,228,112,911,025,
201,600,685,018,529,835,667,879,996,567,448,217,913,335,158,678,710,168,952,
958,142,658,563,158,966,598,326,358,876,530,772,677,173,600,528,465,417,448,
450,524,875,135,038,083,005,298,045,194,354,266,958,066,236,531,572,170,041,
429,194,451,640,830,858,663,696,123,214,709,791,987,489,095,581,646,889,759,
332,120,102,261,054,882,249,331,748,283,696,861,646,380,204,754,331,993,927,
027,030,274,433,440,499,844,741,674,856,962,385,307,573,908,864,138,493,548,
812,504,571,554,858,466,749,281,193,388,575,727,270,455,613,803,054,700,017,
782,140,281,138,303,826,359,529,090,295,841,259,901,630,847,767,018,451,447,
885,196,795,673,655,725,131,420,354,633,717,203,639,021,208,598,323,359,793,
536,147,766,043,628,725,813,323,619,115,279,871,395,396,356,310,080,813,232,
254,895,390,297,310,004,568,465,041,593,976,900,386,855,849,805,562,678,652,
049,727,231,593,673,470,050,177,471,113,251,276,531,040,595,546,929,975,906,
973,921,470,551,999,466,066,468,373,621,537,443,814,450,702,230,935,448,206,
352,070,685,395,656,735,520,037,729,997,014,991,933,050,144,338,843,390,516,
611,664,179,310,519,139,153,388,865,752,995,199,986,961,535,111,337,607,052,
622,506,907,812,013,092,894,181,584,346,105,876,937,190,865,099,363,308,930,
546,314,662,061,365,494,706,599,262,474,255,976,934,194,110,518,843,267,638,
084,841,668,609,936,781,612,768,339,007,422,473,862,710,731,696,539,583,160,
555,461,595,897,422,623,609,118,932,957,182,256,529,371,255,023,961,523,418,
157,121,277,124,923,809,143,545,097,704,309,284,628,072,944,333,804,239,437,
920,943,027,216,226,592,466,278,226,027,512,952,476,126,894,851,936,140,811,
629,118,925,794,557,340,837,675,836,625,284,258,591,504,068,475,403,441,482,
488,077,529,686,909,526,106,969,050,469,192,607,426,174,784,557,836,843,170,
164,409,289,512,672,014,303,242,664,242,412,878,990,820,664,737,650,666,002,
070,195,080,349,522,779,527,324,265,796,738,394,524,767,382,503,185,293,691,
547,687,777,272,083,888,482,055,992,720,379,596,398,595,903,985,439,060,331,
827,672,947,279,069,937,037,049,480,388,801,729,851,092,667,497,796,992,252,
174,135,733,549,280,838,833,551,125,531,389,905,246,038,039,314,387,430,054,
987,383,063,208,710,885,590,609,436,604,684,641,932,504,507,172,019,142,470,
310,566,273,726,765,186,920,166,481,027,209,472,097,412,191,457,338,107,290,
020,421,841,941,594,846,621,424,324,915,998,835,572,563,685,682,009,278,301,
139,840,241,509,336,273,941,487,421,492,198,342,766,577,106,206,674,592,009,
117,372,632,285,626,811,352,427,729,923,714,374,832,339,297,805,067,793,824,
215,669,478,120,525,552,645,748,851,858,430,861,823,138,129,225,174,793,048,
486,951,176,892,525,222,796,003,106,180,336,424,324,470,103,644,404,072,146,
723,082,562,165,012,614,271,503,939,679,895,877,390,530,740,845,926,137,809,
897,745,636,162,804,654,752,670,817,884,571,243,843,497,684,142,663,331,549,
541,540,237,528,814,591,730,896,004,998,835,622,606,443,088,886,913,198,871,
045,546,369,910,983,471,291,155,911,707,871,798,267,389,638,845,931,870,511,
722,558,798,842,296,892,215,682,407,510,713,139,041,744,684,464,473,209,733,
508,461,133,972,323,844,597,084,093,051,848,947,737,642,435,384,149,215,276,
214,193,992,049,371,425,107,992,050,017,000,549,515,801,892,897,831,361,595,
088,577,989,067,214,252,249,551,229,363,371,187,321,979,261,774,101,604,986,
289,056,379,282,520,263,168,307,800,045,813,038,697,391,788,197,943,845,147,
859,734,506,202,317,662,397,977,269,994,007,235,517,797,838,174,179,481,625,
424,685,853,707,936,370,588,654,173,997,099,100,374,069,739,570,632,315,678,
149,034,108,195,488,521,383,263,931,767,576,011,923,735,708,528,982,869,463,
030,238,770,245,917,998,236,065,808,977,101,063,072,367,049,575,492,800,498,
933,666,240,646,112,702,797,166,265,584,007,252,156,087,185,066,553,989,871,
963,286,737,722,933,977,214,580,133,953,663,880,246,539,665,887,625,781,946,
633,192,433,509,649,510,024,211,271,557,393,720,141,871,774,297,002,453,964,
459,596,031,346,674,088,539,951,050,993,425,152,349,688,694,023,737,194,838,
007,351,832,404,670,505,112,579,607,338,030,910,967,726,981,013,262,532,407,
190,816,605,096,530,774,508,361,644,923,414,389,046,168,543,741,117,547,071,
141,622,503,889,461,593,295,052,431,217,537,332,654,343,685,508,341,992,678,
094,402,790,359,617,127,725,524,160,949,314,825,448,468,542,405,911,659,043,
229,245,107,476,875,197,174,489,652,456,629,417,304,918,676,549,298,407,789,
452,967,364,642,678,898,300,972,332,028,590,763,469,872,212,746,246,101,594,
002,609,833,125,776,210,807,209,402,712,167,245,327,457,341,553,510,244,405,
472,990,069,083,601,355,129,479,218,586,869,378,427,638,374,186,512,784,400,
627,098,047,135,348,554,216,345,542,219,314,846,869,702,299,857,632,874,736,
875,314,631,361,347,933,574,393,275,414,562,153,878,554,768,228,032,174,941,
648,731,605,972,876,605,452,688,909,852,605,179,107,265,909,657,754,723,050,
959,883,714,506,260,574,831,644,774,903,865,966,408,170,314,467,845,309,497,
941,043,595,627,918,701,397,254,108,524,341,001,242,749,339,423,104,810,716,
618,940,917,407,534,396,516,826,038,084,468,293,933,993,791,622,289,966,215,
122,560,502,801,033,689,545,090,764,499,030,547,719,953,997,739,119,978,105,
410,940,396,234,790,430,925,117,241,191,939,419,258,654,825,588,212,977,260,
314,319,980,058,703,227,478,187,305,779,284,799,534,838,357,081,411,161,170,
181,411,687,867,234,103,864,580,971,751,429,693,457,507,801,799,486,869,768,
190,327,232,762,948,653,283,557,916,424,210,619,821,535,145,926,267,904,296,
069,961,204,434,034,061,372,651,908,544,367,861,411,830,705,617,025,620,991,
725,655,306,021,789,159,530,484,390,305,824,137,974,415,088,325,256,430,218,
030,396,149,178,594,167,520,388,995,102,755,356,370,166,586,764,978,045,102,
537,433,724,825,077,633,848,673,318,048,808,479,690,178,658,736,737,085,643,
576,781,311,488,653,405,273,772,751,570,022,743,909,464,336,785,587,377,121,
857,367,436,415,406,587,604,313,481,642,618,054,848,430,711,464,811,378,344,
991,399,744,823,952,049,481,931,109,527,802,817,289,893,725,926,932,880,760,
400,053,840,682,394,775,232,146,319,351,890,716,737,095,882,585,635,174,106,
713,954,268,609,199,159,499,751,688,900,130,691,548,878,883,158,316,850,077,
018,009,667,524,002,551,427,467,531,926,894,962,996,820,792,686,512,805,829,
659,828,624,558,630,610,687,072,748,204,218,281,347,135,275,259,239,653,466,
332,026,885,816,364,407,812,257,818,027,680,977,084,425,047,829,216,454,313,
620,116,402,384,687,716,470,969,819,405,738,613,830,843,377,731,736,939,572,
914,679,479,394,890,409,868,579,609,491,994,013,039,801,117,641,988,507,757,
838,794,928,712,602,007,447,762,335,787,233,309,700,563,502,490,336,819,266,
132,028,053,507,931,030,164,771,986,750,835,972,363,504,445,462,297,890,216,
153,770,131,277,921,327,548,649,794,509,429,471,621,391,666,572,227,887,475,
654,113,391,304,748,304,605,160,779,843,049,066,231,947,277,538,689,044,378,
712,076,543,041,893,049,867,065,795,919,198,276,869,028,403,782,722,912,534,
498,436,723,996,920,227,563,501,094,474,598,446,053,266,979,900,260,008,074,
015,035,409,377,744,030,362,917,154,411,835,242,632,326,172,847,725,594,800,
134,805,579,172,626,652,661,987,671,900,641,307,240,711,027,466,264,451,287,
308,262,068,287,838,373,634,544,692,499,291,545,339,790,532,132,326,943,668,
387,584,651,913,017,059,064,313,548,013,683,411,819,086,825,589,183,464,748,
095,951,179,801,266,045,727,962,185,054,061,582,546,861,763,164,966,987,930,
603,996,726,256,075,036,426,280,750,827,015,009,340,718,264,999,296,981,444,
683,423,133,964,515,685,406,971,013,752,421,975,535,981,790,600,326,999,653,
511,050,045,480,224,246,712,167,809,104,213,813,163,064,882,429,759,522,399,
254,437,802,497,690,611,308,548,667,047,110,960,839,429,760,457,656,266,911,
549,620,399,848,824,412,951,643,102,098,874,263,089,554,917,278,863,638,405,
807,045,637,836,365,453,075,910,159,105,234,491,413,944,963,918,831,132,416,
438,890,717,299,101,202,022,911,983,475,404,430,585,095,507,592,621,771,247,
419,535,766,676,864,246,020,431,718,162,482,857,722,095,357,603,593,142,162,
018,515,794,000,475,295,945,379,344,671,191,543,283,573,504,790,851,897,051,
659,026,382,828,018,088,835,560,220,791,504,413,937,588,049,975,502,047,257,
222,880,156,934,461,621,387,917,554,712,683,954,510,135,441,878,295,345,428,
844,435,502,463,205,704,505,391,583,861,705,403,715,250,854,186,935,403,989,
477,873,684,392,524,276,463,784,506,857,585,449,976,760,792,119,803,386,706,
492,586,003,414,041,521,121,073,298,633,087,509,155,569,148,892,481,956,431,
468,025,941,043,925,719,981,384,790,111,147,916,960,658,334,975,078,786,138,
135,736,282,600,273,389,278,746,838,480,288,087,270,514,947,962,420,444,399,
012,848,453,577,734,676,587,392,735,705,091,976,751,758,710,467,899,708,138,
426,497,731,228,671,204,809,025,427,874,196,340,177,717,324,940,653,035,069,
110,692,987,782,248,665,766,305,787,654,135,638,538,273,423,398,124,471,767,
700,091,189,080,467,753,745,286,155,499,551,236,196,402,141,629,507,794,462,
445,480,592,241,816,285,366,101,816,797,165,716,716,257,522,132,474,941,944,
342,978,824,603,883,841,573,401,323,637,759,055,432,601,480,622,176,423,763,
770,005,971,885,985,970,301,047,568,529,602,781,579,939,563,661,623,607,188,
358,344,659,896,194,721,000,362,596,348,928,690,191,319,766,280,929,204,965,
515,277,058,786,944,619,631,666,347,887,491,748,289,334,563,459,210,969,066,
347,574,637,811,381,122,739,638,070,119,224,252,770,196,484,975,085,485,462,
575,493,514,433,370,845,416,654,908,800,581,952,801,833,010,693,540,021,212,
576,896,874,162,732,171,368,868,460,607,978,069,756,142,769,698,839,981,422,
280,328,921,250,393,731,422,202,159,323,090,279,287,178,244,714,543,063,470,
404,914,148,745,996,664,360,795,786,679,449,183,948,568,048,889,071,381,258,
449,278,115,436,700,176,724,190,273,946,019,837,256,679,817,241,253,218,699,
846,933,548,303,402,060,251,156,950,129,367,790,710,812,268,139,843,647,077,
462,466,710,529,804,166,046,214,473,231,839,575,625,118,186,647,843,787,694,
894,014,523,867,119,867,931,351,333,854,879,456,435,488,244,624,547,515,384,
258,277,856,559,651,901,786,519,502,688,453,898,541,960,442,553,988,189,602,
108,338,332,406,226,572,850,360,774,611,183,770,756,009,386,812,472,538,508,
696,073,674,177,953,114,164,216,989,259,439,000,024,789,412,093,751,347,837,
934,443,431,856,369,938,844,165,657,152,509,087,765,911,448,049,874,796,696,
834,101,114,933,049,322,624,055,888,977,395,014,208,512,702,618,755,170,719,
754,330,616,102,260,659,662,809,028,251,240,804,577,913,473,448,826,303,991,
206,362,131,260,977,203,943,148,182,260,901,120,729,654,491,137,935,548,170,
761,003,621,289,050,648,316,095,838,247,539,185,434,813,390,322,565,331,755,
136,209,623,113,055,463,833,607,834,870,842,225,936,992,735,188,053,074,280,
780,373,088,242,107,360,783,537,320,908,341,850,775,128,080,898,730,422,640,
342,248,073,707,606,417,270,707,589,821,519,769,259,859,096,110,914,380,687,
228,457,780,999,156,262,841,170,896,260,042,494,270,272,421,866,862,568,968,
775,806,087,133,356,389,661,336,708,924,540,980,608,135,053,475,500,802,808,
846,336,252,615,435,176,865,576,925,619,021,864,772,615,895,685,243,752,803,
789,940,470,524,539,849,936,455,273,114,437,346,857,170,632,919,042,825,391,
343,670,024,706,325,147,692,592,563,830,663,526,334,954,327,998,900,252,555,
107,126,097,115,818,646,414,648,624,022,260,733,648,890,283,074,223,521,803,
423,060,497,449,968,627,617,002,331,370,393,161,053,156,035,274,806,258,386,
384,685,290,974,934,153,844,322,114,494,448,388,842,760,659,499,258,704,146,
016,915,155,685,945,845,237,572,451,732,140,464,860,641,678,794,070,851,479,
436,237,371,743,400,582,082,894,564,925,366,364,196,757,231,429,030,289,439,
663,703,822,045,749,150,542,384,485,516,381,612,537,947,353,645,678,929,154,
967,134,594,663,233,847,229,824,542,960,749,972,447,803,415,170,963,093,929,
340,811,256,864,939,095,677,055,257,547,558,219,632,290,753,578,001,897,250,
450,806,546,591,413,762,638,308,509,679,327,676,285,364,026,026,476,723,875,
053,258,362,684,553,167,883,991,536,483,431,011,524,528,727,157,733,419,603,
023,082,458,968,294,811,519,747,820,495,096,023,581,896,120,557,283,016,086,
553,443,658,966,038,441,207,918,586,967,078,168,983,943,095,537,790,799,728,
829,108,475,949,070,928,178,274,925,902,291,730,909,448,333,363,357,196,852,
408,118,605,770,557,176,045,214,764,119,275,531,206,878,321,418,280,422,781,
705,669,986,713,195,523,108,407,841,329,472,454,311,846,862,231,780,073,309,
740,494,100,440,789,886,167,013,150,144,800,154,885,433,257,614,913,058,073,
371,341,457,380,261,124,196,056,085,669,049,825,882,949,209,353,379,172,234,
668,517,132,180,613,519,791,482,225,845,599,630,231,898,517,890,967,965,953,
039,438,494,984,259,236,528,897,693,623,661,560,290,326,168,383,954,053,709,
950,525,912,227,506,030,473,112,436,008,909,379,563,944,267,433,252,349,040,
487,420,014,310,488,813,674,342,328,300,603,257,156,928,139,256,879,541,546,
305,517,641,017,956,091,884,515,427,370,830,881,393,636,404,874,497,280,110,
801,997,333,334,364,588,891,512,999,328,219,620,544,361,580,855,017,259,989,
312,956,123,773,124,936,675,137,266,701,934,732,794,752,872,697,942,165,181,
420,371,615,680,038,258,073,386,905,025,545,256,324,314,196,062,025,260,266,
040,869,483,124,287,843,458,740,357,833,389,023,413,456,476,256,075,761,235,
853,625,622,825,150,079,727,400,766,368,574,322,700,442,612,231,248,170,399,
309,739,688,656,722,930,377,563,986,974,477,138,816,888,927,368,868,874,009,
650,365,960,356,777,010,676,605,870,635,120,949,961,618,094,692,397,261,755,
322,295,836,489,274,219,641,322,894,001,811,566,292,126,125,889,646,656,750,
534,994,901,108,450,499,418,204,320,329,180,864,584,944,093,320,946,509,319,
544,857,802,593,663,614,541,999,634,511,812,603,254,538,745,920,518,281,987,
113,474,100,955,734,595,878,651,989,168,389,549,110,294,229,142,943,557,722,
221,600,075,830,325,333,794,834,730,235,368,381,707,364,741,772,413,160,737,
895,301,262,166,086,093,720,879,278,397,829,161,429,959,380,059,894,100,385,
405,198,995,432,375,940,903,755,017,337,096,086,919,551,221,694,470,515,966,
344,157,908,802,683,371,188,755,488,917,762,826,736,493,121,173,067,645,008,
373,834,863,061,608,574,586,041,337,589,293,616,795,152,532,330,709,096,899,
416,825,855,714,387,921,121,131,654,057,581,277,420,014,724,116,129,871,603,
757,070,805,746,704,064,699,181,791,660,274,902,370,692,963,737,641,517,381,
314,920,261,748,245,361,273,807,507,709,609,021,196,431,399,537,529,229,781,
567,960,959,257,965,778,951,269,070,110,128,292,260,300,094,376,695,173,509,
744,361,626,180,436,835,413,733,939,654,576,911,538,617,726,107,762,202,570,
872,436,994,953,583,868,702,115,793,061,893,277,622,315,805,448,624,208,663,
510,118,229,474,836,046,203,693,349,656,652,691,672,109,102,081,594,921,674,
187,020,527,855,717,063,338,030,526,835,143,413,881,759,034,948,656,688,881,
812,302,054,351,334,320,400,643,392,190,007,432,950,913,618,739,905,347,396,
212,453,887,619,092,009,538,270,193,516,331,133,960,615,916,842,296,665,822,
717,647,725,660,551,391,562,241,951,253,464,528,977,547,814,634,009,060,881,
647,070,115,482,622,745,257,562,564,731,417,894,562,074,381,673,262,289,677,
739,951,475,202,067,649,091,222,890,523,079,077,224,773,245,850,469,395,167,
883,637,459,075,898,267,883,872,663,701,908,339,156,323,702,179,281,557,291,
953,661,760,039,757,153,569,939,491,484,534,145,654,593,306,693,285,420,327,
041,252,481,072,520,646,792,248,530,090,085,889,929,496,141,179,766,216,530,
127,429,614,041,809,283,514,739,348,197,158,956,137,267,106,472,793,329,126,
788,646,680,658,978,855,552,227,088,505,388,809,970,406,134,822,167,650,757,
391,513,067,986,055,211,307,386,520,929,732,616,604,656,405,858,790,679,553,
810,947,794,438,622,731,898,346,762,424,589,942,277,441,026,830,930,041,277,
992,047,814,919,528,632,631,782,994,703,098,697,996,089,657,593,703,910,320,
160,357,601,156,884,516,158,230,109,701,003,176,644,552,191,820,287,208,252,
241,589,339,696,507,014,620,491,365,542,712,455,728,506,468,485,927,131,525,
160,581,773,188,498,951,489,216,567,533,595,104,792,629,925,928,495,444,095,
304,403,894,887,459,017,286,221,627,533,638,168,423,957,324,007,169,984,003,
858,921,553,489,682,007,999,139,450,582,302,064,823,358,899,317,516,958,232,
696,695,463,475,304,043,968,027,657,556,021,181,842,056,503,848,302,130,442,
457,899,818,521,217,083,529,260,872,162,441,287,670,065,888,659,507,049,391,
580,047,543,919,040,071,269,584,861,189,020,026,746,162,962,702,797,090,933,
168,315,573,660,626,995,261,148,800,233,598,923,194,092,927,350,385,388,237,
071,824,190,194,086,070,043,717,957,302,502,447,548,243,027,111,359,778,434,
364,812,122,755,649,421,967,585,456,878,163,036,120,357,860,872,569,153,685,
684,903,629,006,609,927,880,231,978,402,818,149,324,758,984,975,760,890,395,
053,341,784,437,903,339,854,469,202,439,888,947,679,735,402,258,532,686,952,
924,202,148,771,996,543,701,313,446,317,295,216,821,348,019,363,093,370,766,
299,322,809,513,381,031,976,748,492,869,079,406,333,006,560,543,816,152,563,
926,382,966,059,504,066,318,791,449,969,570,562,320,779,949,429,811,958,759,
455,654,846,806,442,167,642,357,892,267,851,487,740,051,799,430,503,294,316,
631,392,814,609,772,685,853,696,979,811,157,734,947,061,555,314,651,139,394,
992,655,100,285,670,032,414,746,778,927,735,195,403,677,338,593,483,144,672,
893,614,814,979,954,546,673,917,154,673,222,907,482,047,235,275,304,345,413,
404,897,639,879,101,789,066,835,982,641,400,590,145,543,111,415,246,322,705,
603,078,235,399,570,679,378,271,846,036,500,026,570,342,701,463,076,585,818,
772,891,938,309,650,401,889,307,129,415,035,909,610,565,226,976,925,257,029,
320,526,010,328,101,997,645,634,031,229,840,111,323,704,022,318,126,351,762,
272,730,045,006,970,389,622,302,384,248,758,456,040,632,163,206,787,167,483,
352,813,617,517,946,213,209,653,463,317,088,934,274,597,162,056,872,891,316,
070,518,723,160,383,747,129,449,156,553,763,919,945,058,839,516,847,696,415,
829,292,918,364,240,059,365,037,740,511,944,156,501,832,296,546,349,512,976,
419,277,060,769,394,631,002,546,524,304,925,525,447,203,535,880,264,127,649,
029,497,196,440,644,611,851,140,582,662,816,839,114,923,522,541,681,486,947,
069,453,977,177,786,358,510,837,727,894,545,696,352,703,804,122,172,844,513,
434,668,769,379,678,142,089,874,314,597,009,518,805,050,889,906,155,915,163,
784,872,675,912,522,083,119,526,085,864,885,210,556,532,865,913,861,333,580,
954,079,575,686,402,673,749,300,175,288,628,092,090,676,825,764,286,313,729,
071,935,749,713,991,078,761,293,030,894,038,680,322,428,739,594,777,933,357,
253,397,554,274,772,587,354,293,654,605,192,185,660,978,885,331,652,765,985,
135,776,786,121,466,153,484,600,146,821,913,511,633,247,853,547,808,436,857,
599,957,571,987,871,350,027,944,712,058,642,729,354,465,931,896,689,666,470,
051,439,871,927,245,477,307,260,163,000,172,621,338,130,289,456,048,231,651,
652,479,382,173,808,440,053,278,597,960,272,308,327,957,646,553,274,759,399,
409,253,609,085,228,746,951,336,783,841,336,387,053,538,586,326,037,674,138,
487,030,054,243,896,791,279,831,761,505,744,340,387,384,540,674,112,459,782,
055,065,201,503,616,519,411,924,777,445,781,218,309,675,391,964,830,203,884,
721,282,178,189,590,722,752,277,949,935,381,808,703,501,492,426,936,910,899,
366,976,672,430,968,673,605,099,066,102,772,158,138,372,872,940,818,879,901,
264,271,692,062,172,254,212,860,977,417,638,439,581,386,909,998,580,407,349,
575,343,862,645,850,994,951,783,380,168,352,251,913,176,155,029,027,201,019,
343,027,265,559,358,837,358,423,016,718,125,966,571,952,764,781,204,041,500,
180,975,568,795,816,648,112,035,310,071,477,063,660,646,503,186,171,590,032,
588,757,268,884,778,819,528,680,744,018,241,372,503,922,031,717,697,751,674,
719,953,430,789,824,758,063,736,727,428,030,031,326,012,413,284,899,077,586,
625,438,522,577,935,957,257,432,048,914,881,263,317,439,890,144,104,222,735,
397,151,573,003,616,307,879,270,340,316,458,896,070,738,157,007,749,249,969,
172,972,123,124,373,070,851,337,321,575,759,851,792,622,379,568,310,677,436,
170,785,190,774,614,092,690,832,214,588,324,075,957,509,950,499,209,290,637,
309,055,468,167,806,624,486,946,982,997,332,720,942,477,176,483,850,614,453,
864,630,897,025,768,285,548,233,880,411,503,506,463,187,054,240,328,631,562,
446,101,381,055,865,617,003,438,341,798,069,241,426,594,470,282,343,396,018,
524,467,838,549,167,641,297,423,067,552,698,060,685,469,344,206,385,672,385,
075,541,178,055,676,585,626,198,174,735,478,254,557,084,074,894,490,879,732,
976,401,708,226,898,700,252,000,812,543,720,987,151,373,356,655,343,550,506,
489,038,954,193,265,454,637,161,450,698,787,475,864,714,682,783,523,029,183,
787,877,457,222,476,278,508,380,259,288,503,826,009,625,242,916,611,955,441,
904,889,359,023,056,768,713,937,327,191,280,351,471,676,603,656,905,866,319,
210,642,877,610,479,292,626,576,247,843,396,419,261,505,812,073,007,962,618,
589,739,741,141,893,388,432,702,746,926,925,450,197,062,090,728,172,832,060,
165,713,370,932,171,286,795,118,735,200,721,589,289,749,586,287,156,006,230,
427,922,949,844,868,549,895,967,384,540,941,964,150,460,088,208,998,182,007,
191,160,771,741,918,235,214,314,644,109,189,040,132,464,734,749,257,885,056,
087,014,669,565,608,266,961,203,066,609,875,239,574,046,359,549,573,642,173,
594,364,944,005,645,307,386,019,138,538,082,614,265,657,300,263,741,016,486,
750,473,862,785,088,954,783,938,650,960,067,129,358,781,726,761,367,847,886,
204,075,461,273,691,668,184,930,483,735,753,308,055,500,025,463,239,774,627,
938,049,842,684,364,979,960,916,763,200,533,494,918,405,197,029,651,497,459,
162,971,121,660,899,845,446,485,785,744,671,854,718,906,695,022,665,691,356,
753,332,105,583,802,176,133,683,215,015,011,956,942,849,203,914,894,697,230,
356,183,595,571,405,185,369,561,151,125,628,332,099,954,191,402,927,605,189,
786,096,527,393,477,925,756,799,015,528,835,459,678,683,736,063,182,043,285,
335,073,117,144,391,202,985,983,358,302,291,269,791,013,650,045,722,471,701,
182,123,869,351,269,807,289,670,800,744,372,115,675,833,422,808,773,093,301,
447,538,471,801,715,000,941,807,451,607,098,547,700,049,889,911,774,427,194,
940,441,576,599,002,899,278,278,797,330,522,519,724,663,063,129,393,786,392,
082,635,451,156,562,609,442,654,011,825,975,464,076,115,497,147,809,962,350,
529,130,443,814,430,957,539,142,946,235,824,728,988,540,066,337,410,055,593,
459,072,647,981,033,944,906,736,558,533,036,332,469,808,454,205,379,962,931,
904,834,683,790,935,757,634,570,991,181,114,964,462,183,375,669,433,586,673,
948,522,618,762,818,120,884,814,449,123,872,262,551,383,095,164,572,642,401,
830,646,118,306,516,344,654,673,622,860,180,242,289,192,099,328,262,408,385,
753,165,590,087,732,954,102,147,302,427,033,749,931,280,527,701,908,665,185,
186,881,337,390,083,846,174,541,784,288,257,564,732,321,933,266,463,293,591,
294,364,570,195,373,409,864,774,613,742,762,332,838,145,769,567,763,948,822,
142,697,328,172,923,063,977,001,538,921,266,626,080,092,819,611,557,637,885,
420,538,276,422,926,576,013,010,906,101,801,079,529,751,277,167,970,482,625,
305,489,291,447,066,792,261,157,904,362,631,484,193,857,321,762,652,928,620,
523,574,005,216,238,547,072,677,212,615,679,922,719,146,324,973,231,796,364,
954,456,401,083,292,957,150,937,266,104,274,929,744,827,179,793,648,953,171,
143,040,287,908,583,602,584,821,743,608,336,302,367,733,876,990,400,163,168,
415,489,995,082,607,921,221,070,304,065,391,348,396,674,600,624,616,955,163,
644,285,825,317,959,068,711,764,799,803,265,253,585,006,697,133,563,945,438,
217,613,630,661,810,282,360,294,155,341,827,999,684,294,685,568,102,505,719,
523,144,096,245,664,035,893,168,791,490,506,535,699,148,127,334,876,372,570,
526,671,829,704,462,405,303,616,010,555,132,128,862,276,656,172,176,934,505,
099,608,214,407,452,632,151,725,154,817,835,497,402,333,234,183,111,323,372,
259,693,263,093,311,482,063,223,951,929,857,663,837,691,163,310,206,439,027,
270,214,397,786,194,699,112,189,936,883,433,624,776,875,728,812,897,190,474,
541,782,795,863,830,967,642,086,621,856,510,423,018,140,112,109,315,230,415,
272,903,501,171,571,324,769,243,533,429,927,001,154,106,247,606,329,839,262,
272,093,521,760,972,679,499,545,287,004,588,424,452,865,004,580,052,577,741,
483,494,142,560,752,663,363,588,908,339,709,582,739,470,553,606,458,031,623,
082,704,970,684,438,822,149,141,546,075,438,841,394,215,199,128,963,254,990,
029,641,553,420,109,474,835,077,087,983,650,830,042,859,102,215,212,697,214,
614,959,907,413,095,392,152,056,865,999,070,620,035,921,535,195,478,436,193,
864,130,976,957,084,816,490,325,321,757,939,109,650,477,840,360,788,844,897,
425,277,483,350,783,469,075,678,257,485,642,621,894,553,216,116,514,655,758,
910,561,020,319,382,290,489,589,811,666,743,480,750,882,203,291,944,888,991,
806,772,194,923,529,077,614,132,053,638,268,635,033,876,294,331,819,190,091,
033,509,237,280,277,713,936,081,353,358,385,569,309,138,356,622,628,641,777,
070,259,717,343,830,071,967,520,148,254,096,069,740,580,261,547,279,930,847,
010,157,518,330,400,525,018,949,259,417,729,042,703,895,026,645,249,997,518,
931,246,351,205,106,088,777,468,641,539,951,638,760,930,027,866,683,910,711,
671,639,949,370,162,954,371,112,014,567,163,662,703,094,501,996,438,063,581,
168,605,718,527,788,160,884,108,464,281,920,603,472,175,785,500,174,069,857,
676,561,712,300,077,732,059,307,018,277,295,327,642,410,383,484,394,993,081,
489,519,630,132,400,619,480,560,475,715,179,600,549,781,437,439,512,691,068,
559,223,658,026,286,342,643,273,304,536,657,896,740,520,451,888,243,735,762,
159,308,467,817,014,759,984,490,137,995,711,139,840,728,156,507,404,271,520,
257,867,473,773,227,897,480,789,981,402,970,934,041,904,170,473,651,503,759,
496,011,780,822,778,734,800,860,539,600,283,404,601,289,061,731,782,985,147,
141,346,516,933,730,277,262,049,804,345,400,743,485,347,737,692,733,482,274,
640,900,457,698,944,517,322,440,187,860,578,402,059,218,719,583,921,940,905,
426,077,723,926,805,584,761,609,586,767,774,456,458,759,227,622,526,636,939,
171,542,534,419,939,352,408,791,661,699,327,272,304,215,821,073,277,507,096,
505,355,926,005,209,785,644,011,720,832,466,476,764,998,463,933,035,215,840,
663,490,710,581,671,832,507,173,023,324,057,283,198,827,297,386,600,584,632,
015,199,434,225,234,451,383,230,126,732,844,060,930,150,100,764,954,855,544,
235,470,709,685,039,901,904,031,966,918,632,660,630,913,565,518,310,503,993,
426,603,894,046,104,255,576,822,100,530,044,060,879,757,294,485,891,695,982,
486,045,156,761,614,671,995,521,504,404,808,058,540,338,657,385,720,353,499,
213,639,776,034,399,922,039,590,401,071,825,113,681,428,706,488,266,882,168,
412,138,702,540,549,942,350,185,939,557,392,130,099,276,043,153,785,832,646,
002,088,184,883,183,535,415,500,514,467,640,589,215,100,602,444,021,346,282,
606,853,524,449,951,903,392,122,532,067,695,432,424,142,178,406,859,046,964,
940,690,295,087,499,792,958,199,940,816,371,879,772,105,869,037,971,063,293,
957,966,678,059,267,129,716,982,622,954,725,863,832,219,225,789,689,487,299,
767,908,097,828,599,777,339,619,962,566,822,141,742,927,426,127,996,523,649,
130,087,484,841,053,375,575,061,408,558,236,867,042,452,685,939,852,433,899,
361,821,071,068,991,601,144,273,385,072,430,800,551,195,339,732,603,962,857,
795,095,361,742,449,688,333,177,455,260,840,071,872,273,679,134,099,871,213,
113,532,349,968,888,182,823,412,055,946,422,477,467,687,381,126,462,511,913,
194,098,896,591,497,539,427,520,244,299,468,247,854,640,320,609,651,695,070,
312,880,821,839,018,763,466,967,122,159,065,660,990,096,990,838,072,361,400,
677,240,145,623,379,489,289,997,040,407,692,661,189,069,910,891,095,659,200,
571,772,674,831,309,669,360,448,522,973,521,971,027,159,780,460,306,631,528,
571,983,793,987,286,004,449,253,331,928,204,081,283,475,833,799,559,508,774,
304,454,177,114,383,829,593,801,980,031,541,967,568,986,395,260,932,583,129,
410,202,936,029,833,331,927,832,091,716,473,260,596,980,042,510,793,984,385,
207,729,086,125,677,186,857,072,302,739,802,203,696,753,113,972,136,438,551,
304,320,531,527,244,550,524,938,640,038,102,442,751,717,981,378,212,987,037,
168,554,547,307,433,371,975,159,868,459,880,336,880,924,939,279,598,391,496,
020,898,816,428,398,044,209,885,023,967,417,396,782,680,924,025,493,344,525,
126,171,679,325,357,693,389,333,722,687,070,370,987,574,090,259,632,397,682,
801,314,061,756,440,314,824,977,189,737,746,957,026,067,981,698,484,532,915,
975,721,249,397,955,619,098,406,422,798,129,922,186,415,521,455,003,972,486,
342,941,820,200,555,507,484,109,609,139,420,148,997,260,326,800,249,989,090,
445,489,533,130,779,446,463,185,340,960,906,545,617,781,365,798,209,759,902,
992,971,281,680,482,495,357,856,862,458,101,839,124,319,508,698,059,722,557,
244,870,224,862,396,597,445,762,175,855,135,814,467,713,827,812,299,429,414,
399,764,911,474,003,691,801,895,993,216,690,210,518,892,181,430,727,417,144,
104,247,857,886,990,083,120,166,325,807,772,721,183,343,391,870,973,934,382,
057,764,944,178,976,862,089,680,905,406,590,123,997,137,753,767,339,874,208,
435,713,188,516,651,111,681,182,898,384,231,274,183,946,714,168,306,144,758,
410,497,363,187,288,084,872,363,200,771,612,285,231,762,311,665,684,422,497,
298,010,158,883,525,882,138,546,362,343,329,075,948,267,175,024,883,682,711,
343,418,861,751,860,232,787,621,937,606,225,228,377,822,400,075,389,804,755,
082,699,851,603,257,163,710,145,700,470,051,907,385,375,898,808,045,530,889,
979,462,345,991,507,723,201,151,605,983,303,795,893,799,758,934,346,460,886,
327,286,752,363,516,650,046,998,073,508,377,131,157,765,712,461,652,863,544,
574,117,822,723,904,624,880,511,306,974,861,415,922,602,310,595,565,637,064,
368,903,427,621,753,806,139,731,322,843,632,993,336,722,629,758,010,701,890,
495,758,346,077,598,975,097,862,170,310,646,739,545,266,778,525,828,879,823,
101,330,610,712,918,199,258,286,997,824,771,228,294,490,208,942,959,225,477,
370,311,554,983,612,429,868,393,815,220,326,331,964,786,571,811,032,021,439,
647,987,757,911,185,515,743,861,503,285,273,775,585,761,881,604,460,958,399,
971,500,743,374,563,564,227,052,732,592,659,618,774,152,484,468,514,358,014,
029,258,011,346,472,095,029,559,466,156,773,663,954,263,712,188,062,206,787,
596,011,492,549,075,912,739,928,408,850,880,553,989,852,396,726,167,302,247,
468,287,834,746,068,534,864,156,858,651,344,439,099,836,187,243,309,632,917,
496,610,569,205,595,382,349,535,766,427,844,282,425,910,448,265,802,408,575,
562,095,822,778,311,210,223,093,952,437,312,006,719,442,123,706,552,952,176,
972,411,531,461,962,982,751,352,830,337,684,503,342,787,473,113,487,409,368,
373,915,243,786,931,645,042,180,741,958,497,602,683,706,783,437,622,700,337,
828,420,839,409,535,191,353,379,596,302,369,114,379,445,654,099,152,535,741,
583,752,734,548,678,368,555,726,851,910,747,726,188,684,041,897,774,344,727,
826,839,998,236,034,340,826,296,182,438,590,301,548,323,980,431,388,434,029,
446,872,379,107,095,375,206,758,682,596,335,538,311,445,711,494,566,038,399,
340,535,346,169,544,903,762,536,087,006,580,217,003,926,672,267,154,924,203,
765,911,293,254,795,575,025,548,062,311,474,337,129,934,258,194,793,322,715,
627,893,507,661,229,813,399,493,015,303,744,006,251,915,396,782,331,451,758,
008,530,973,015,847,168,612,206,333,483,265,223,352,899,020,832,908,029,707,
018,426,735,666,950,940,266,082,433,080,094,983,653,241,705,974,972,411,790,
527,500,413,632,202,827,653,383,234,022,014,212,119,527,021,058,189,017,367,
258,440,539,537,660,401,233,109,579,471,783,854,673,458,404,071,200,963,136,
290,271,554,989,724,990,974,606,833,526,713,155,248,161,940,128,165,128,752,
147,750,296,248,639,556,536,485,086,369,351,586,147,143,231,332,363,439,251,
997,700,234,727,684,789,298,705,659,246,223,997,244,272,346,615,224,369,366,
016,653,989,901,675,557,372,240,552,344,143,909,937,326,940,323,236,779,676,
292,847,151,510,697,311,648,285,083,073,305,092,138,201,805,054,619,498,868,
489,311,945,171,047,051,796,962,126,897,833,155,896,740,083,672,768,015,153,
673,789,791,224,980,807,804,765,490,316,066,067,389,876,999,156,312,668,763,
915,565,985,446,789,213,382,925,315,721,972,115,208,880,373,066,605,782,007,
831,047,917,382,793,929,587,140,771,553,413,589,817,311,512,363,991,446,000,
714,579,866,802,124,144,557,593,357,587,644,996,839,739,212,725,616,160,474,
604,638,303,308,456,778,881,641,049,444,661,339,423,114,716,812,000,654,300,
107,711,761,158,447,542,179,479,109,904,560,126,874,424,486,417,064,542,163,
243,652,605,884,099,233,519,619,866,618,129,949,105,387,367,460,504,745,594,
176,338,849,525,729,403,262,576,625,760,143,412,044,552,970,721,005,097,122,
146,318,769,897,220,168,958,233,290,618,017,918,963,165,027,788,482,581,237,
167,258,314,321,466,186,270,696,466,425,831,018,037,579,248,897,898,442,993,
126,128,493,674,094,624,261,331,493,354,415,139,673,129,988,017,504,979,222,
993,903,367,653,032,420,000,740,257,514,382,540,564,876,076,876,078,696,022,
790,501,370,815,970,863,086,959,726,573,888,871,710,000,784,657,468,336,610,
376,754,003,026,467,730,394,127,203,530,546,721,181,022,805,434,995,674,412,
803,363,686,973,028,108,546,851,299,706,182,537,767,210,300,167,531,406,002,
432,795,945,483,076,430,198,779,652,649,511,299,176,084,478,802,731,746,200,
573,097,667,319,493,326,233,309,890,131,738,720,508,406,056,099,723,469,185,
994,406,917,427,148,846,131,824,890,332,790,112,907,897,116,972,878,547,921,
902,135,690,354,929,385,297,670,727,783,478,045,247,502,279,615,566,090,178,
347,873,706,949,501,685,043,645,615,059,473,312,080,453,140,948,939,378,808,
300,198,021,136,527,257,466,990,877,074,815,951,582,988,400,336,626,016,433,
822,999,295,470,802,276,977,823,460,492,309,339,041,747,253,982,641,337,165,
486,935,301,221,086,682,579,368,624,133,188,471,350,448,117,726,697,421,540,
083,309,297,112,199,312,135,094,196,989,415,138,637,266,058,516,839,947,387,
980,202,891,315,139,512,576,673,647,386,564,028,437,219,841,130,607,119,136,
602,587,478,076,976,740,465,736,550,151,894,921,531,949,158,239,611,729,583,
387,384,830,462,656,607,987,868,634,631,556,041,116,572,661,093,881,200,359,
153,528,577,274,260,841,179,385,851,850,291,774,017,272,792,091,595,988,467,
430,991,230,452,368,181,775,635,149,139,304,776,473,480,577,257,370,252,607,
453,664,905,929,090,036,226,912,069,709,567,869,440,678,907,127,783,377,132,
426,458,807,889,434,810,448,242,232,760,157,592,476,915,779,113,038,216,667,
144,641,720,453,497,053,004,432,783,683,244,151,941,167,351,237,387,064,674,
105,206,977,940,510,411,213,981,898,450,651,085,999,342,391,893,936,795,587,
345,221,408,099,225,657,514,263,079,859,275,148,520,677,122,493,485,904,886,
808,311,411,002,862,274,757,649,573,191,673,070,384,025,814,273,077,089,106,
683,853,845,105,282,803,311,265,166,928,884,301,883,569,030,335,799,253,571,
117,315,635,542,682,926,545,435,983,615,588,209,398,555,915,194,076,300,068,
194,487,288,677,902,383,424,975,602,481,642,454,472,987,891,156,234,160,541,
490,503,631,892,771,950,907,403,288,144,941,896,935,537,636,795,118,422,406,
853,885,911,408,953,855,619,929,951,761,401,176,119,420,780,138,476,233,599,
829,311,712,866,176,707,492,881,745,142,439,584,542,112,314,359,786,169,765,
439,868,225,518,581,368,000,332,706,720,016,309,080,928,625,341,285,484,920,
527,420,997,003,111,025,154,003,122,219,020,130,605,523,409,525,804,405,735,
166,517,050,744,045,231,602,698,526,245,417,779,450,788,438,779,608,348,152,
730,282,518,761,327,907,033,334,130,405,698,798,028,224,092,618,976,410,735,
788,056,639,357,835,271,862,718,353,798,971,584,018,553,465,656,467,341,631,
260,268,433,734,156,382,682,429,571,790,978,548,576,455,537,628,286,593,812,
955,005,254,150,138,039,329,200,755,878,427,717,062,948,329,717,937,310,518,
581,434,051,750,630,976,977,354,135,675,478,803,644,803,479,051,960,411,420,
316,947,003,101,383,540,367,640,623,522,094,393,872,581,566,891,432,513,514,
008,098,756,677,941,438,954,437,870,423,514,311,175,079,537,888,817,784,284,
110,037,359,323,028,542,630,870,720,868,310,957,452,859,187,989,659,160,386,
912,953,046,087,347,995,578,252,217,111,800,651,304,778,752,711,450,594,790,
681,817,396,763,878,326,923,429,558,995,905,203,611,382,707,794,944,598,509,
199,076,643,559,673,027,969,254,222,865,819,822,763,022,114,239,800,393,204,
639,191,088,995,185,828,019,136,349,097,183,240,331,212,910,947,164,523,588,
255,065,644,624,418,845,488,051,228,368,582,470,200,661,783,293,584,226,163,
461,320,390,695,315,060,448,192,852,160,996,310,966,265,987,977,977,669,264,
148,095,908,124,300,912,125,434,794,107,095,248,472,128,030,456,274,819,244,
018,684,910,304,426,648,346,186,800,261,122,947,914,758,416,321,275,156,761,
095,098,960,299,380,450,648,845,348,118,087,533,272,133,389,800,587,038,747,
353,791,818,051,902,546,951,604,414,082,902,996,088,819,063,948,045,735,072,
528,210,162,338,946,010,510,980,722,036,435,582,897,726,241,901,510,332,405,
859,566,323,592,131,608,916,059,448,313,449,291,603,517,879,917,970,653,403,
154,965,664,058,555,369,483,270,552,182,307,188,603,958,403,901,280,848,004,
332,869,586,002,230,087,092,111,601,874,432,389,052,495,725,058,724,776,364,
980,845,546,579,905,967,753,646,180,737,239,405,894,901,291,580,819,513,579,
706,885,493,109,836,135,937,958,177,832,078,848,905,165,992,187,432,051,845,
328,062,440,613,078,261,526,062,602,261,078,802,008,373,452,226,459,064,091,
757,860,070,991,127,238,359,756,014,487,293,736,592,215,576,331,878,296,175,
272,609,595,411,156,464,326,634,436,954,748,331,530,278,999,487,255,537,871,
093,184,410,938,850,379,528,372,524,415,247,945,283,529,301,487,801,534,712,
495,200,321,294,454,687,969,951,753,982,981,500,958,002,353,494,956,816,179,
986,486,278,767,630,380,842,460,353,264,635,217,401,279,242,857,783,315,528,
389,196,181,076,741,892,892,941,776,932,747,014,209,756,514,456,864,380,448,
263,487,743,774,445,487,077,602,957,874,725,035,421,219,795,620,828,516,279,
604,795,025,165,768,640,445,288,097,134,907,699,939,154,344,859,598,689,984,
772,419,166,834,458,935,816,214,370,076,577,450,061,981,691,622,350,796,856,
054,203,652,958,789,484,753,783,277,107,670,374,689,305,053,773,665,433,983,
340,826,458,700,493,290,283,222,994,481,478,077,732,345,916,830,307,320,238,
813,109,556,032,719,926,679,869,094,125,209,024,075,905,172,040,343,029,624,
255,290,573,425,904,460,992,927,468,858,308,594,943,526,621,190,121,818,651,
727,518,050,253,874,123,659,633,283,066,935,879,533,703,325,230,458,225,234,
814,116,257,864,189,286,595,901,148,351,125,474,903,598,643,206,346,969,255,
168,792,388,894,986,637,703,193,055,697,750,615,984,410,472,156,799,074,151,
705,101,845,807,385,090,632,061,381,389,339,081,654,043,494,586,765,622,734,
075,850,717,890,656,080,834,430,195,809,682,613,111,945,117,149,310,792,611,
705,452,010,013,083,649,098,264,432,070,162,902,978,700,539,623,879,544,545,
654,329,389,984,850,476,034,179,905,393,164,258,401,103,204,609,047,178,886,
377,109,816,259,258,230,038,431,223,448,668,490,531,306,029,858,330,648,350,
855,041,354,597,517,877,644,228,059,401,896,465,335,819,546,256,175,793,803,
465,637,611,100,779,628,569,968,713,661,779,656,717,538,839,046,581,731,836,
549,942,497,188,492,720,161,909,856,653,633,790,600,908,754,265,007,210,010,
905,229,655,189,606,205,229,776,958,557,501,652,445,590,932,483,306,103,637,
493,197,177,403,571,113,960,300,327,152,638,776,696,688,329,534,920,403,136,
515,546,738,415,173,342,783,742,940,627,107,708,633,622,598,129,764,614,233,
438,065,193,034,792,659,514,009,972,806,929,970,776,008,720,880,293,759,513,
536,080,749,208,220,152,814,769,633,099,261,129,691,214,881,918,770,686,921,
746,786,191,710,250,100,028,129,051,710,188,387,374,703,227,107,019,147,291,
205,462,681,814,325,871,418,653,351,966,491,113,588,890,990,500,861,428,180,
011,084,638,403,461,730,176,783,695,281,946,106,867,279,225,956,366,767,555,
900,424,561,868,165,942,466,158,035,298,352,449,983,260,333,655,054,688,767,
555,529,925,453,604,898,170,606,266,785,340,279,778,065,384,828,248,923,964,
112,837,170,798,465,516,652,547,634,956,727,121,464,333,027,434,840,101,138,
863,572,206,473,960,676,056,831,810,641,346,873,201,416,715,919,622,634,277,
122,329,255,899,226,960,449,455,557,114,773,351,662,496,061,417,174,288,115,
828,799,934,720,668,086,258,929,011,551,096,220,377,049,881,234,847,991,401,
469,192,957,042,355,575,026,642,486,917,739,781,081,135,668,389,484,607,397,
456,602,409,311,097,849,632,277,998,334,843,703,232,366,474,956,990,061,560,
751,153,820,425,076,633,240,234,673,131,233,229,467,280,935,139,309,115,764,
438,443,779,802,600,974,426,605,136,945,157,578,941,517,124,023,635,384,025,
790,206,733,331,068,655,687,325,368,845,099,211,519,390,530,377,264,906,803,
235,435,084,223,779,716,021,656,642,774,102,540,091,401,528,667,011,132,785,
897,650,350,174,260,344,339,650,639,880,272,477,080,414,038,519,173,031,570,
606,670,657,263,468,560,889,960,910,516,607,758,492,868,995,065,181,655,268,
976,674,719,543,748,637,145,401,298,763,400,329,523,462,644,881,683,137,197,
831,275,739,312,901,907,572,935,173,097,744,939,354,451,511,141,726,452,778,
342,668,520,435,150,028,620,522,101,870,483,382,397,832,780,909,976,255,480,
510,558,913,942,936,825,268,862,974,605,798,549,775,699,479,873,769,897,722,
387,134,778,774,280,587,031,600,710,599,476,295,095,117,695,538,350,403,011,
913,676,237,933,958,370,747,429,445,558,988,058,976,998,008,049,802,449,485,
999,769,431,839,553,748,596,949,908,305,967,999,374,069,304,690,100,696,675,
189,350,109,427,031,560,698,627,500,213,953,686,906,247,673,715,816,772,925,
181,514,306,897,134,749,329,988,023,612,773,187,269,765,803,320,579,613,330,
561,638,017,327,624,428,904,151,963,568,785,317,002,947,069,187,959,402,693,
386,677,349,156,372,008,547,493,282,666,408,058,894,455,252,676,610,461,975,
400,589,806,006,573,141,953,446,979,311,321,188,047,953,549,754,274,019,214,
602,510,870,372,779,837,415,862,712,217,175,598,538,074,202,792,632,402,597,
386,684,754,239,357,402,329,401,972,150,243,124,124,768,774,088,965,161,257,
950,629,333,245,995,494,898,087,844,864,625,509,010,202,994,820,316,584,515,
470,825,302,015,311,145,733,280,603,341,809,888,419,883,720,239,002,624,921,
132,534,272,203,827,384,092,316,706,717,334,984,141,125,643,803,504,775,475,
331,352,775,390,562,501,894,763,672,214,786,722,702,079,785,363,754,219,042,
374,730,473,280,362,411,838,933,068,346,274,930,147,623,725,443,622,216,335,
760,379,158,302,233,405,213,943,310,087,342,899,996,418,382,158,857,318,193,
489,053,087,963,429,813,530,047,733,305,368,527,508,714,990,291,049,315,171,
369,149,501,676,743,775,669,450,869,057,734,854,290,365,438,186,308,285,529,
976,702,184,885,130,374,013,868,935,675,924,887,561,269,866,447,429,191,401,
055,622,931,888,070,422,183,348,643,276,539,276,078,707,970,113,476,844,635,
650,150,764,142,340,814,104,536,479,757,230,835,574,191,400,819,799,700,863,
786,762,952,026,858,439,760,124,760,501,947,501,298,016,694,612,744,550,077,
287,498,333,788,004,141,485,411,992,093,740,021,866,617,372,916,690,636,741,
548,932,125,427,597,872,016,752,859,903,796,581,386,399,132,293,513,996,686,
927,421,944,448,662,867,394,055,737,817,932,820,058,373,406,010,789,610,153,
662,864,045,960,697,410,622,638,186,282,091,652,270,134,719,276,849,478,100,
823,138,413,021,526,487,786,079,374,048,529,088,212,609,388,053,463,920,864,
754,138,593,556,528,975,729,523,490,139,527,335,478,425,715,776,826,137,261,
057,692,996,840,164,869,816,321,360,928,876,667,235,488,714,722,418,675,626,
002,693,372,736,200,097,261,461,802,244,647,549,213,961,452,365,143,663,834,
917,614,298,076,152,591,857,121,981,403,634,239,782,863,953,787,633,131,045,
212,177,792,463,084,947,201,941,952,995,066,159,856,533,251,969,813,712,026,
861,460,183,950,640,832,468,144,115,621,938,457,125,313,193,061,682,706,424,
761,099,333,666,247,685,469,538,516,330,813,293,125,977,813,820,945,566,394,
056,816,092,909,122,303,462,250,664,875,205,139,155,062,892,581,456,562,391,
400,229,485,001,768,958,860,865,585,001,452,175,079,695,168,366,436,339,952,
541,873,516,875,588,938,113,775,787,930,735,236,516,994,669,670,660,824,372,
344,309,505,782,697,080,112,267,511,649,201,924,822,793,135,347,223,415,851,
623,464,076,235,713,465,243,535,347,643,798,393,336,706,134,515,112,281,206,
502,664,459,076,974,732,434,525,639,264,527,624,012,872,249,331,483,045,865,
476,790,306,872,263,125,950,415,288,014,821,527,835,303,767,592,816,905,670,
270,914,501,308,364,415,223,836,285,522,992,339,633,033,119,326,613,856,271,
924,565,266,737,138,594,756,267,566,448,648,291,420,394,020,517,308,275,912,
388,562,028,649,234,363,290,309,320,068,293,279,220,010,499,287,609,886,976,
353,574,248,569,377,649,407,238,010,737,386,565,924,263,422,928,021,169,806,
783,621,921,349,451,592,254,014,442,980,644,630,593,725,464,885,899,370,097,
605,818,769,709,641,837,398,586,548,598,065,028,437,334,047,706,238,342,495,
212,477,744,421,716,605,943,829,849,665,581,432,041,437,829,682,842,546,166,
100,147,227,806,677,942,019,967,920,949,823,677,557,279,889,527,940,592,167,
769,578,059,355,532,119,783,814,406,943,787,513,698,676,858,459,528,252,220,
839,186,796,178,957,659,381,696,817,085,719,291,395,568,195,553,942,445,107,
919,169,172,114,939,425,212,178,099,979,401,459,380,578,833,647,967,439,916,
879,365,847,544,713,686,928,249,659,666,253,746,564,737,616,213,598,174,356,
317,097,731,768,352,332,004,076,156,308,532,680,008,856,277,023,836,025,661,
856,701,878,726,946,212,965,229,606,995,085,230,188,179,294,081,728,559,629,
791,672,151,555,813,760,875,409,030,923,383,978,580,041,363,957,231,270,034,
679,615,214,952,032,964,504,508,167,783,622,033,740,135,356,723,608,561,410,
674,120,056,100,193,627,760,449,514,196,254,062,504,460,896,166,438,580,946,
028,947,020,448,794,919,964,449,437,788,502,668,593,978,919,741,547,549,475,
249,346,945,716,984,637,630,717,870,228,363,422,061,497,073,012,451,400,467,
650,347,314,277,929,070,828,383,530,377,971,324,958,823,952,170,505,760,742,
363,023,791,693,303,753,921,740,443,490,328,731,599,095,865,405,995,183,294,
418,057,337,064,587,959,472,026,752,909,285,774,815,077,959,067,523,105,092,
956,266,989,245,496,144,733,316,777,228,065,939,898,048,380,461,820,546,148,
932,087,439,149,622,713,097,104,971,775,230,545,778,706,325,384,769,994,917,
811,406,141,456,623,635,063,673,188,317,324,511,566,884,299,724,825,966,328,
690,857,617,733,516,060,839,940,995,302,005,116,820,964,882,576,151,462,336,
441,481,877,286,077,237,557,169,136,700,615,981,012,419,738,131,302,747,667,
913,923,200,472,539,444,162,449,321,168,629,887,817,386,514,598,035,992,785,
691,856,499,101,726,689,459,768,580,096,793,956,947,441,449,263,695,713,668,
992,419,280,734,961,005,718,299,201,556,376,420,698,308,274,739,406,319,815,
927,519,535,700,768,988,276,130,072,451,211,164,904,099,628,470,715,857,976,
671,477,192,737,752,658,959,025,310,950,650,116,227,833,621,847,910,257,045,
572,858,874,219,406,181,707,417,826,412,068,001,691,219,414,820,711,819,775,
763,828,511,774,448,737,199,996,268,866,509,894,731,890,415,789,689,598,015,
969,945,593,892,447,979,267,750,392,660,498,176,161,468,734,183,979,731,315,
917,437,618,607,479,455,007,097,371,281,342,913,889,204,578,829,919,409,586,
735,238,727,816,023,409,738,787,596,190,214,949,179,754,002,418,705,550,135,
115,695,223,757,167,222,275,460,735,709,074,958,909,499,684,230,358,116,289,
500,318,221,811,253,500,634,758,849,656,249,753,627,340,456,888,685,274,579,
287,303,303,322,722,218,862,092,505,026,718,375,806,305,285,722,676,680,888,
256,607,039,620,766,721,037,192,953,523,175,974,932,834,294,036,573,885,523,
785,159,726,327,480,276,379,274,339,741,361,382,740,456,479,193,470,312,808,
810,274,005,025,350,574,580,115,419,897,479,100,811,508,389,248,217,231,292,
058,791,249,129,278,173,694,439,504,846,591,904,417,675,293,174,418,057,519,
588,912,545,796,499,356,403,884,973,302,149,035,552,662,160,425,450,413,644,
902,965,035,124,828,384,748,473,786,540,327,584,785,401,992,824,820,721,669,
433,565,401,648,629,873,065,580,379,533,268,931,450,503,571,498,056,809,649,
625,664,724,034,890,659,044,649,504,233,608,194,063,056,248,845,494,608,466,
689,358,319,219,497,441,128,042,308,407,981,573,709,432,644,911,512,358,633,
753,519,508,892,052,022,016,711,036,479,090,414,471,168,606,363,036,078,553,
561,435,621,103,802,715,374,596,904,066,182,883,705,161,008,816,774,148,165,
615,813,634,568,150,814,555,483,051,138,056,195,972,561,206,246,685,933,915,
852,143,677,640,133,880,757,271,074,012,326,407,573,547,516,810,527,473,564,
083,459,099,067,301,013,464,139,883,801,054,551,378,481,579,397,406,750,869,
674,462,381,786,800,973,586,384,463,845,171,055,461,348,986,648,056,997,235,
472,166,338,569,894,116,693,487,664,937,561,643,371,087,367,402,990,889,660,
735,162,773,418,876,246,298,416,181,678,454,934,082,106,605,765,465,964,798,
876,511,499,162,563,688,919,852,272,964,714,146,260,397,964,002,265,714,006,
155,806,474,429,566,022,732,627,576,940,269,479,983,665,949,569,683,961,569,
317,116,731,805,849,208,162,036,365,944,028,009,618,445,296,760,171,047,037,
090,891,222,683,082,403,974,745,046,252,111,204,094,268,366,407,978,611,762,
431,193,342,217,128,555,176,854,879,856,819,073,836,257,795,932,991,136,809,
015,598,706,486,390,743,912,850,088,150,483,406,386,220,452,317,534,596,595,
758,654,212,799,262,551,732,561,821,802,850,575,166,485,809,717,247,401,188,
914,090,824,145,541,087,024,917,616,771,387,314,204,243,127,364,990,107,641,
673,705,430,174,878,992,328,576,236,549,837,816,472,274,419,042,625,938,872,
583,176,409,594,943,979,156,887,258,353,476,592,824,999,674,303,130,597,645,
521,005,734,347,640,043,132,267,987,582,520,761,261,820,146,714,625,345,679,
451,812,620,749,906,188,881,766,424,715,274,003,177,343,597,266,338,585,688,
124,943,664,455,252,814,264,839,015,806,124,144,018,714,189,663,272,153,325,
030,330,716,258,673,552,024,933,623,272,635,760,647,736,984,808,279,063,629,
932,742,953,226,352,091,203,249,660,715,910,857,243,749,324,511,778,348,162,
193,900,702,378,909,127,452,261,881,023,767,030,428,853,775,031,074,962,030,
274,909,922,704,442,494,944,566,794,706,388,202,948,428,194,523,291,450,189,
636,253,724,018,409,633,996,395,068,084,559,198,423,311,893,973,843,738,809,
722,300,319,080,646,944,649,861,754,528,375,711,077,929,186,294,256,177,895,
761,123,916,681,244,769,424,109,708,951,985,462,725,128,951,916,425,785,559,
670,268,183,052,602,468,391,285,627,383,896,453,880,045,321,367,775,027,870,
855,017,501,886,140,330,154,469,272,593,977,086,449,380,828,851,362,779,307,
829,227,514,867,803,224,402,562,335,091,136,093,322,390,904,941,187,348,709,
118,607,178,881,782,934,104,868,997,893,064,699,841,849,291,370,864,203,475,
502,607,039,473,114,130,960,481,889,359,065,902,758,349,960,629,393,035,779,
137,197,047,193,047,979,585,748,940,593,687,190,404,825,074,988,809,120,773,
275,140,814,407,021,381,515,178,478,139,089,315,303,178,900,729,505,527,861,
956,538,420,504,244,446,509,948,075,859,414,130,636,045,749,568,390,865,361,
851,287,371,705,749,536,806,632,260,092,159,955,470,404,315,467,191,757,451,
974,717,976,850,464,858,245,971,615,736,273,964,701,121,723,581,901,894,556,
337,863,580,644,153,270,052,586,493,267,691,842,536,482,291,994,262,056,240,
440,590,557,366,937,608,665,479,145,043,529,796,928,181,459,857,997,638,632,
568,767,825,273,918,347,537,065,147,024,202,847,948,946,451,028,668,177,372,
657,523,391,645,753,411,863,259,171,155,137,291,914,514,955,275,702,594,207,
565,110,984,450,554,879,682,495,803,829,172,103,045,684,796,046,545,745,405,
792,930,992,656,730,372,339,741,409,741,029,658,979,634,066,137,648,332,909,
521,579,559,962,858,504,838,490,311,022,761,509,347,163,252,661,682,564,804,
622,642,433,223,076,889,414,566,528,874,740,189,343,518,861,462,472,620,125,
254,094,961,665,327,023,411,917,302,735,162,508,260,048,321,749,983,166,376,
966,571,560,261,621,003,766,687,226,259,131,290,733,509,933,084,111,738,697,
770,083,511,408,244,321,186,267,380,779,584,203,380,881,231,302,138,047,541,
427,525,893,061,407,774,282,770,332,224,352,660,627,282,149,585,673,205,016,
793,775,562,109,713,165,981,878,592,277,697,579,774,805,798,161,593,551,874,
207,173,478,004,790,251,688,651,237,052,736,429,485,536,192,018,607,645,641,
844,624,406,495,961,885,476,934,968,739,187,677,233,424,648,601,690,888,265,
332,700,364,427,833,878,852,996,035,082,367,923,985,989,246,367,171,989,256,
038,594,145,484,920,952,788,421,285,663,352,485,963,569,638,519,694,809,060,
216,710,958,282,420,079,997,873,901,066,388,530,763,785,422,147,578,743,408,
687,263,398,744,308,199,972,957,300,148,305,810,093,859,896,071,464,965,830,
326,122,866,266,547,280,438,611,758,303,488,795,817,272,649,748,535,425,485,
673,489,482,896,020,949,774,225,749,703,913,281,536,155,011,312,263,510,625,
321,964,286,703,683,837,864,460,460,915,053,438,313,744,850,257,196,076,082,
268,008,272,266,571,913,059,964,197,709,732,003,214,048,632,042,709,057,441,
404,969,404,538,580,261,206,694,235,515,406,928,651,840,254,025,782,576,709,
934,301,133,723,001,453,488,452,228,331,801,116,432,473,938,805,712,876,197,
939,402,571,971,913,826,727,015,401,371,244,299,547,684,669,449,603,176,426,
140,371,487,216,549,134,384,191,241,058,464,254,771,786,198,519,030,794,981,
062,278,971,941,574,812,748,522,643,794,549,011,177,708,030,227,113,348,371,
784,523,833,784,861,619,458,769,321,293,830,386,199,318,873,695,728,464,945,
476,667,646,172,049,626,484,186,765,851,112,979,078,130,958,039,323,744,930,
668,891,420,594,578,841,826,146,709,630,070,534,776,184,163,330,209,319,964,
929,289,470,226,117,596,289,594,896,949,754,818,791,114,667,108,342,915,524,
105,106,298,117,833,784,029,555,486,598,542,661,152,419,392,117,569,357,320,
620,530,224,673,353,742,627,710,684,639,344,976,951,841,377,562,874,279,420,
863,690,235,729,977,384,508,455,882,372,365,520,579,862,285,676,646,300,277,
688,509,844,070,830,869,422,368,803,788,367,276,161,238,835,317,325,216,454,
839,466,944,317,198,586,237,312,741,753,520,268,707,128,739,067,722,360,849,
746,073,187,128,918,332,707,883,374,259,366,463,729,908,210,514,702,775,898,
713,907,453,972,419,344,121,193,810,991,932,714,408,869,731,844,551,823,019,
408,802,769,039,290,907,746,107,294,863,652,769,208,199,694,755,596,175,110,
486,517,265,362,445,504,874,630,842,032,306,061,750,645,302,668,580,413,579,
431,690,908,456,623,607,218,627,522,551,146,376,294,352,577,632,761,652,463,
207,593,018,941,092,821,900,798,245,828,453,614,414,753,448,977,804,528,606,
550,460,548,020,361,705,729,155,534,425,791,851,569,811,655,624,397,074,434,
648,742,234,509,962,981,130,007,464,589,682,742,185,372,761,269,741,931,641,
886,806,699,770,548,820,919,254,727,824,662,721,386,741,543,402,932,943,547,
839,021,969,057,555,169,788,169,607,071,349,649,512,173,143,699,870,096,411,
373,835,824,438,385,941,937,982,933,548,211,596,904,088,610,157,868,896,598,
373,136,410,815,884,843,747,274,718,587,321,621,800,606,936,747,466,520,577,
077,039,434,451,952,602,230,609,892,168,222,891,524,683,263,152,027,856,184,
815,850,188,272,412,380,088,562,333,505,218,980,664,036,063,210,855,661,764,
358,821,257,386,600,248,270,235,966,666,454,786,302,112,970,326,699,038,182,
584,066,105,013,162,505,043,628,461,307,808,790,142,951,460,317,887,631,029,
156,679,826,722,621,223,977,585,246,439,730,876,533,827,934,766,567,251,534,
111,462,403,357,938,390,533,571,409,435,390,370,424,740,521,219,142,228,401,
535,113,060,408,199,437,192,032,062,180,073,600,581,401,013,324,486,008,900,
262,774,121,827,916,204,488,495,481,599,131,955,273,622,088,728,726,192,501,
038,896,074,117,856,209,006,266,249,076,686,559,611,954,661,088,278,609,590,
176,997,021,351,646,900,189,850,113,168,727,692,522,395,315,922,888,276,566,
444,977,533,609,145,918,196,022,205,949,422,897,871,155,634,629,449,263,654,
897,409,077,072,179,101,685,846,772,359,644,182,589,949,766,314,784,276,761,
911,098,907,475,366,632,898,386,127,106,879,540,071,055,376,014,669,060,502,
215,280,237,214,799,678,264,376,303,465,290,512,859,391,831,134,539,637,583,
112,483,971,774,430,907,127,211,181,179,493,463,251,469,539,410,928,483,192,
468,114,306,579,208,258,715,674,324,444,486,111,602,376,040,358,993,026,201,
867,435,920,598,582,059,295,876,846,413,325,877,072,312,744,962,875,769,405,
203,532,081,458,450,518,084,593,787,413,951,190,858,870,249,355,762,666,309,
740,598,794,719,407,957,758,264,222,211,806,906,260,959,358,650,794,210,170,
906,100,213,266,802,946,593,137,122,397,219,577,865,614,131,539,900,198,491,
449,561,884,320,746,517,167,586,328,257,148,016,092,908,678,874,364,204,945,
171,078,252,941,419,864,979,624,441,625,275,149,845,985,837,099,054,064,883,
526,503,507,661,740,461,763,934,204,773,830,128,261,253,909,263,600,595,242,
984,787,424,559,985,015,365,416,170,880,485,326,700,388,672,757,245,237,943,
088,369,013,296,465,238,681,789,640,439,539,919,579,151,525,447,219,722,983,
577,402,441,465,052,752,100,719,565,486,519,848,897,304,450,586,711,083,677,
248,286,723,084,873,037,946,394,386,677,125,269,298,284,861,754,767,321,500,
182,892,006,701,559,730,410,567,113,797,560,664,882,150,427,278,413,397,047,
717,625,388,393,984,527,962,327,050,975,323,351,350,348,846,911,593,894,177,
956,928,386,656,934,948,704,684,752,825,481,785,406,896,319,410,328,566,351,
666,398,428,653,750,998,299,446,632,556,585,136,526,730,669,950,344,127,379,
544,284,046,516,893,837,870,259,247,631,029,117,866,824,964,066,589,948,602,
795,890,418,096,170,797,428,472,917,102,179,612,985,764,381,837,477,005,825,
424,077,495,781,897,641,162,172,534,802,528,022,537,567,063,146,608,015,236,
955,703,177,059,261,106,147,058,775,248,127,050,795,049,936,724,981,954,954,
173,628,781,199,821,677,229,055,008,290,899,189,375,854,292,630,828,451,041,
318,776,307,389,502,610,934,271,789,647,532,242,512,254,372,399,367,043,309,
476,726,783,025,514,851,569,379,040,700,786,853,197,810,698,777,969,341,282,
347,418,881,247,302,424,245,880,901,284,182,327,222,578,495,712,083,601,233,
550,729,993,888,444,925,578,476,394,046,060,387,454,114,529,008,321,569,711,
846,558,079,265,864,485,603,039,286,902,058,271,034,713,284,828,132,447,991,
237,200,187,538,586,159,441,525,558,376,664,229,527,685,097,821,585,589,754,
301,900,378,609,695,880,500,971,442,408,291,147,142,063,765,348,951,370,739,
092,021,507,152,185,373,132,713,464,317,298,939,021,454,864,325,805,011,336,
266,950,607,681,916,714,918,974,332,780,018,247,908,586,668,795,656,345,875,
730,239,702,245,953,680,988,017,546,959,638,607,003,947,855,034,489,861,766,
810,043,254,989,076,958,763,213,181,211,567,734,096,230,654,937,643,504,363,
250,250,130,555,372,255,303,861,253,693,683,455,063,661,417,177,864,708,032,
202,846,819,427,801,989,179,170,386,112,346,909,973,950,697,850,866,994,529,
930,922,108,972,889,282,616,594,915,876,513,109,196,990,431,971,558,986,600,
443,781,944,542,147,829,396,872,329,272,752,089,433,467,080,872,305,748,755,
024,936,572,659,049,048,898,352,604,104,302,683,674,983,464,704,836,541,088,
332,278,504,022,416,198,261,548,942,439,723,370,354,667,149,644,052,828,245,
959,278,105,227,782,533,929,209,494,643,164,648,444,764,308,751,030,757,621,
718,544,205,252,335,312,931,243,593,320,151,130,170,112,513,762,693,881,825,
300,346,290,242,916,653,180,788,675,206,705,921,649,988,937,239,689,562,856,
590,005,467,132,846,698,994,995,699,908,455,657,096,401,462,537,092,879,397,
877,249,439,075,258,476,294,292,987,899,720,719,926,901,026,636,537,027,090,
751,592,669,456,529,729,694,802,601,394,285,096,205,239,727,088,507,449,544,
446,729,356,800,366,396,107,700,148,022,967,808,366,003,017,147,281,816,963,
765,463,115,785,011,480,909,502,668,339,385,757,488,531,872,121,364,636,545,
029,739,139,365,934,297,873,346,128,805,651,282,714,554,760,638,595,957,348,
869,323,498,796,025,516,784,132,639,209,276,624,130,838,305,033,915,528,560,
009,532,817,658,884,068,830,608,763,172,434,141,669,247,234,860,589,651,943,
069,704,074,877,581,937,194,886,655,517,641,901,155,302,379,230,134,136,933,
666,145,449,853,706,748,654,495,487,486,152,223,420,760,943,511,019,410,577,
284,204,368,265,133,146,197,724,715,863,917,259,883,303,944,581,793,383,586,
758,612,165,047,056,416,964,212,160,488,779,343,309,855,139,785,832,452,952,
661,197,440,635,107,509,654,230,171,503,358,985,113,032,008,870,495,743,658,
790,151,738,276,296,136,370,773,134,549,164,215,483,948,118,413,921,957,406,
231,813,049,086,070,510,944,832,826,058,166,576,370,101,313,020,859,140,636,
426,269,241,416,815,152,857,584,940,518,493,050,786,790,378,139,432,424,022,
396,586,231,652,132,781,557,929,261,917,155,113,739,038,240,070,201,388,365,
945,517,313,916,627,188,325,379,718,311,556,954,499,158,129,827,891,868,285,
885,286,124,594,294,762,579,066,338,552,147,365,334,326,935,373,853,009,572,
267,499,943,335,499,019,912,216,949,840,012,812,384,883,450,810,864,282,205,
114,882,284,711,586,666,558,049,541,289,954,163,343,569,108,494,349,850,038,
669,251,091,708,355,087,955,634,756,125,815,866,871,615,295,969,849,372,020,
742,634,531,644,646,427,958,744,068,109,618,493,561,871,740,332,701,749,579,
832,753,487,657,940,530,975,973,893,347,266,754,487,074,991,791,699,581,944,
534,123,240,849,767,139,215,176,994,310,579,876,310,905,314,402,370,163,295,
348,830,531,334,317,663,734,425,933,543,156,264,978,327,103,513,135,238,676,
422,497,620,987,267,339,657,246,559,871,986,235,884,599,618,602,585,282,990,
588,797,577,802,570,471,101,124,832,317,762,897,100,992,513,745,031,577,724,
440,305,018,340,337,530,063,219,823,059,515,636,901,993,407,019,119,698,864,
438,328,198,547,483,070,815,899,825,683,228,679,097,242,219,123,807,541,828,
540,402,997,090,570,735,812,690,187,773,017,084,670,747,357,214,335,249,785,
254,355,350,969,122,065,329,150,312,814,610,629,290,037,644,899,617,152,238,
494,480,918,715,468,988,555,839,560,574,987,343,641,014,325,009,961,041,973,
568,341,749,223,711,052,373,087,463,211,267,460,026,779,344,893,028,100,904,
825,448,118,845,663,113,453,456,048,546,674,247,346,633,115,402,008,644,671,
043,664,984,347,489,561,688,166,202,431,050,817,862,012,747,251,614,857,136,
206,718,561,310,436,975,604,054,975,382,029,520,054,741,034,577,339,973,419,
363,321,812,782,768,654,794,688,951,622,498,840,552,549,001,890,118,368,408,
940,910,755,876,555,905,128,827,787,031,258,556,797,989,684,208,609,989,252,
060,246,305,032,286,381,663,705,122,458,646,747,268,636,497,890,766,499,553,
646,155,132,526,767,293,803,685,021,575,192,570,249,335,644,911,502,115,089,
708,147,734,955,710,729,821,634,662,936,040,645,408,510,864,502,941,935,895,
670,813,861,574,387,863,733,111,250,856,643,386,204,632,199,888,389,899,186,
403,486,369,314,342,776,576,732,941,873,098,819,349,369,293,872,585,276,293,
055,747,425,721,327,985,846,064,406,981,725,178,610,341,118,230,797,700,757,
004,302,158,602,882,194,774,740,471,497,083,943,639,314,041,395,526,506,224,
996,825,341,090,563,758,868,467,993,507,655,444,145,045,424,217,224,077,028,
256,435,747,998,303,679,872,631,978,064,328,932,562,761,215,511,422,324,545,
870,203,668,043,766,173,194,006,691,865,295,894,477,409,832,324,064,776,007,
267,355,145,828,573,993,975,496,548,835,529,644,751,201,453,427,424,997,268,
966,050,457,126,952,493,224,225,790,561,293,187,333,424,104,281,943,785,108,
756,859,053,225,111,629,944,646,985,534,200,477,525,554,836,948,948,705,709,
189,716,492,272,351,440,832,303,552,073,834,365,793,235,673,918,121,849,241,
666,787,269,136,073,734,167,931,097,404,866,642,281,950,456,385,384,806,091,
092,612,862,057,604,210,156,826,744,453,592,116,814,629,609,856,916,653,431,
263,488,736,000,755,678,144,113,626,725,700,359,836,834,434,009,404,301,750,
072,095,066,683,976,833,424,839,852,438,873,107,514,248,999,098,148,472,259,
032,171,201,209,666,298,663,862,990,529,203,382,239,819,173,712,776,450,464,
727,455,568,431,592,924,025,784,527,416,073,591,808,665,327,458,862,664,791,
294,379,193,319,596,446,969,820,835,721,787,506,319,810,402,432,344,341,862,
188,805,770,351,399,420,344,654,713,425,113,751,179,752,580,825,680,026,257,
273,626,600,458,280,478,388,210,935,546,261,046,637,306,895,528,961,816,849,
082,506,124,055,919,747,490,220,229,429,979,945,071,522,219,559,095,923,263,
064,120,927,635,603,211,416,027,735,300,374,567,503,526,929,826,361,589,745,
860,880,614,734,209,330,051,823,605,788,410,098,677,807,214,216,244,898,783,
728,531,999,066,211,236,296,479,087,928,036,625,230,394,772,624,636,705,135,
880,249,870,337,145,454,591,464,308,159,813,703,655,167,188,517,451,671,127,
060,337,502,964,182,112,057,789,770,733,015,181,172,192,667,603,468,049,643,
853,885,558,420,153,623,968,977,810,272,013,390,286,355,041,996,797,921,984,
965,897,753,034,473,823,183,012,031,221,292,485,178,125,072,068,465,451,044,
670,422,732,625,599,174,498,496,613,238,989,415,791,531,790,287,322,949,366,
199,008,022,031,986,575,208,297,064,390,315,954,175,754,831,095,297,040,584,
688,220,666,124,169,043,382,299,100,713,243,826,894,483,236,078,952,911,841,
697,122,819,274,981,472,621,946,129,626,665,139,867,710,432,992,883,340,003,
682,694,758,390,921,577,472,282,434,295,546,565,084,394,134,018,447,468,290,
320,259,115,754,692,030,768,416,486,073,868,956,759,986,624,633,648,348,407,
301,824,332,945,350,708,597,797,661,149,026,606,999,601,527,652,709,794,448,
691,877,829,709,744,862,305,051,533,038,886,418,897,661,976,801,041,061,973,
389,541,520,769,668,933,196,519,499,416,838,023,723,897,124,724,741,592,754,
199,898,337,634,577,946,690,946,323,672,734,762,820,806,251,258,577,214,539,
483,097,225,758,569,180,071,519,764,294,089,876,364,363,623,540,010,579,198,
746,306,071,577,802,109,329,926,843,926,383,995,461,643,988,778,859,045,057,
885,489,836,858,958,330,982,772,244,942,918,685,372,384,892,910,828,899,068,
371,058,797,120,257,115,419,391,058,260,734,905,490,020,023,555,870,466,477,
488,521,631,722,989,213,384,174,205,262,371,806,941,851,122,683,478,271,123,
504,633,991,280,915,754,651,513,679,699,011,930,901,798,269,737,639,990,477,
821,656,874,300,925,500,222,333,179,895,828,236,382,879,222,508,233,734,968,
371,430,731,852,085,139,840,609,346,561,561,401,555,223,234,162,080,900,184,
626,703,381,351,078,881,947,089,766,602,000,815,325,698,204,590,067,557,669,
816,428,142,090,895,671,548,282,624,275,708,544,560,290,533,384,173,670,488,
283,738,843,993,159,632,652,976,115,573,809,878,056,903,878,594,195,931,035,
180,569,584,499,945,406,807,770,880,781,479,304,062,812,279,628,403,890,806,
897,734,523,196,016,596,506,837,616,525,669,016,172,741,282,414,613,014,207,
750,699,241,548,403,147,458,541,879,479,108,109,615,610,785,318,342,016,472,
026,041,338,103,844,577,147,229,095,731,206,882,005,074,348,184,591,121,965,
566,476,310,262,202,499,883,181,048,410,565,231,634,898,788,067,209,025,090,
109,002,440,612,743,131,526,145,526,650,427,077,828,328,729,076,200,410,742,
869,092,856,569,541,213,250,137,750,838,011,203,038,931,066,525,204,946,983,
298,379,260,356,541,589,090,449,846,457,487,174,841,438,804,550,248,312,395,
510,221,157,261,811,400,300,233,396,941,282,276,325,818,566,952,688,215,170,
829,859,117,467,657,255,127,981,683,865,648,020,267,713,886,472,838,838,434,
062,420,324,410,616,348,665,172,824,334,494,654,950,837,211,509,259,278,510,
442,052,259,080,658,710,483,008,234,489,779,930,460,043,878,460,860,882,943,
881,677,322,713,143,572,939,908,726,753,197,310,476,466,079,264,607,869,979,
572,829,299,499,580,889,763,458,396,678,901,294,528,209,886,430,466,977,185,
627,039,361,600,923,344,373,559,050,113,905,792,628,900,381,009,336,802,071,
952,034,784,510,276,738,813,999,352,711,497,549,080,528,510,440,621,312,685,
159,673,476,618,774,739,133,096,466,407,509,653,010,552,916,192,057,124,797,
712,168,119,633,859,487,924,960,779,925,391,296,063,607,987,059,191,119,863,
215,577,050,649,681,143,380,714,012,528,577,187,707,470,781,450,692,921,053,
228,613,633,355,145,738,199,131,817,814,135,631,143,882,379,753,050,805,531,
350,008,897,745,276,799,691,571,202,280,891,588,469,853,141,001,096,290,188,
410,946,179,604,041,063,694,273,656,959,908,639,474,109,775,820,440,679,441,
020,727,697,968,876,405,439,851,279,522,950,550,012,107,108,335,917,802,015,
086,345,078,195,633,945,321,798,711,735,087,230,980,938,942,811,906,387,059,
192,909,451,558,938,420,014,502,857,343,904,425,481,514,268,892,092,266,010,
461,608,961,453,336,401,273,242,871,867,175,634,361,653,458,556,904,794,763,
107,795,005,890,896,779,422,594,811,102,364,880,693,053,705,802,455,037,901,
004,890,473,660,273,590,744,250,308,887,655,173,826,684,221,923,007,248,446,
863,512,992,579,051,768,172,322,441,166,693,542,999,737,719,130,684,891,615,
076,060,614,479,958,048,185,255,695,248,519,281,676,809,155,263,482,664,600,
985,782,313,339,458,203,992,597,180,021,237,724,441,208,935,639,112,207,111,
438,862,380,400,425,041,121,945,487,801,416,427,211,061,302,903,689,725,477,
064,408,710,380,637,932,766,033,959,846,761,793,664,253,293,448,024,998,169,
693,995,366,472,274,584,344,620,949,759,640,945,676,123,348,890,580,506,206,
730,621,149,542,108,253,790,039,911,368,525,592,161,885,630,188,844,071,971,
141,884,684,962,532,579,050,043,054,819,779,089,003,081,859,391,689,128,663,
237,497,978,451,101,978,477,002,837,408,045,029,735,760,976,469,230,699,594,
626,061,418,580,178,079,055,264,954,210,604,823,022,114,926,266,607,691,298,
981,787,296,698,961,629,413,644,430,654,903,312,028,630,959,885,963,796,033,
826,355,569,000,257,060,418,897,090,398,834,871,494,211,967,569,797,554,042,
786,274,132,025,441,449,287,968,645,319,239,674,600,417,519,390,926,849,508,
921,799,808,110,669,447,625,827,750,186,399,350,138,124,672,935,707,779,085,
139,242,904,272,802,327,739,876,383,344,648,139,144,268,588,562,073,139,835,
766,421,549,051,389,704,168,113,881,315,753,258,956,283,593,751,200,708,044,
320,822,113,932,059,673,208,960,482,961,651,036,302,421,910,652,869,561,969,
259,789,668,313,511,704,491,280,831,981,491,275,000,142,264,203,934,452,178,
910,000,674,412,020,718,456,343,048,045,421,528,206,028,849,868,073,233,524,
824,993,859,783,072,376,967,992,044,362,219,339,609,618,769,668,671,635,653,
152,006,039,942,615,655,524,384,527,636,575,710,825,351,816,554,411,036,717,
791,318,865,956,946,170,150,300,061,644,355,197,372,110,191,444,822,676,572,
678,820,540,140,093,637,174,938,101,559,159,224,290,667,305,399,737,420,127,
577,419,241,374,110,980,217,559,477,812,377,477,569,006,709,908,442,216,319,
932,892,178,406,277,943,058,953,915,633,357,821,881,838,366,610,656,592,427,
937,114,322,855,693,579,250,758,107,940,288,165,566,002,447,865,816,138,123,
035,365,647,950,235,629,962,924,370,864,556,025,292,994,382,956,824,148,201,
340,559,636,406,411,221,677,347,957,458,099,409,246,124,229,855,181,187,775,
749,012,417,108,419,215,422,888,859,245,493,913,693,748,717,752,484,943,645,
516,525,346,758,823,392,507,163,498,055,244,682,987,857,472,152,895,534,080,
609,728,115,251,018,123,684,076,962,249,477,457,037,017,649,667,305,856,125,
287,479,671,156,614,393,704,128,764,991,919,729,783,124,505,925,912,208,715,
168,869,437,987,291,979,345,736,454,596,025,257,745,164,752,900,832,557,146,
865,448,814,073,454,819,776,925,824,532,078,428,138,565,766,552,781,588,058,
999,594,999,306,806,695,302,599,237,738,848,738,144,209,930,462,970,986,750,
486,798,222,994,315,792,561,988,420,433,312,920,316,502,115,657,077,430,009,
365,308,921,488,455,383,196,086,326,998,552,605,607,862,199,467,431,001,855,
606,004,483,524,964,712,144,131,415,835,849,354,506,174,982,083,152,073,419,
555,516,731,558,114,700,208,442,248,134,006,671,805,853,829,313,323,199,018,
662,028,588,180,342,075,608,121,834,003,630,282,451,784,826,616,536,015,228,
503,218,051,353,235,286,169,097,077,024,209,271,649,566,913,708,597,052,719,
287,224,524,821,690,634,309,024,998,053,578,294,891,324,727,127,443,918,909,
995,370,848,781,786,425,474,409,055,526,568,166,033,218,444,295,681,090,940,
669,253,006,498,307,465,069,009,073,707,620,953,116,683,581,200,550,957,894,
564,007,837,542,567,588,305,178,210,807,815,544,483,602,155,477,744,968,304,
981,877,507,666,516,738,684,552,756,865,152,641,595,790,052,936,172,539,816,
939,196,910,419,433,125,239,891,657,120,158,541,896,044,964,718,744,358,571,
463,931,017,871,232,534,987,668,910,242,502,758,117,738,827,114,890,201,086,
540,382,639,624,425,442,781,578,874,972,479,024,208,681,764,801,592,251,586,
831,767,921,893,034,298,843,051,971,195,503,799,758,718,681,433,595,945,521,
063,796,862,308,386,084,608,842,680,952,244,036,528,122,355,042,247,342,854,
905,241,508,082,111,297,960,649,589,350,701,223,069,465,153,473,982,273,105,
848,470,237,445,558,615,507,912,727,968,299,094,698,905,979,398,306,666,175,
435,853,797,487,725,850,584,215,473,267,496,013,982,238,825,417,526,142,276,
784,788,963,174,122,804,756,376,299,026,507,274,613,720,551,260,804,371,354,
635,571,765,301,958,841,021,102,530,639,095,251,421,740,856,186,501,060,477,
159,955,291,760,542,892,405,293,677,443,865,541,795,094,577,940,549,233,602,
045,325,407,149,308,025,056,028,269,370,631,248,100,668,589,393,690,046,754,
618,253,007,317,106,102,508,433,390,118,020,159,833,069,382,492,127,281,292,
574,141,583,047,959,217,888,904,559,787,823,818,863,819,444,786,647,231,012,
130,140,094,171,356,828,005,871,438,265,820,081,372,940,480,989,057,678,456,
880,074,594,947,126,091,149,719,869,921,321,299,395,071,533,914,899,453,355,
380,669,525,104,714,897,387,502,747,999,337,009,656,698,128,909,979,298,116,
779,619,812,784,287,828,139,218,167,667,203,990,341,667,263,001,584,246,547,
907,489,643,102,750,545,764,420,146,777,786,202,707,033,568,343,413,374,735,
223,286,575,189,284,721,470,102,744,615,962,641,137,473,046,814,914,965,983,
542,222,682,943,256,301,733,989,140,147,387,508,788,800,907,762,829,351,933,
864,741,213,947,513,488,168,725,905,508,655,011,451,550,365,098,168,486,038,
156,315,184,284,008,276,237,798,943,034,110,299,305,085,013,519,242,633,723,
365,093,660,544,293,657,010,481,623,567,299,929,968,135,189,440,622,731,022,
882,756,264,718,514,530,378,661,877,685,199,368,212,529,616,518,689,764,405,
950,102,703,259,234,875,715,421,387,594,181,800,694,927,677,435,005,973,155,
857,916,805,243,484,033,774,883,603,037,223,031,566,409,985,330,645,360,126,
872,042,060,208,003,829,203,142,170,759,042,811,156,395,546,827,342,837,979,
977,924,850,555,520,714,514,882,174,149,132,013,695,077,296,505,012,397,938,
672,147,835,992,400,019,956,136,890,784,298,576,841,724,540,220,295,173,795,
101,655,350,470,182,450,167,395,507,216,080,582,076,573,600,063,496,631,760,
180,160,707,861,361,300,341,038,014,506,656,313,707,359,625,507,621,504,392,
294,095,277,926,313,940,782,681,608,194,881,968,026,058,202,999,759,450,004,
119,977,390,269,725,593,723,387,054,669,051,145,418,502,156,613,694,037,123,
364,691,489,484,272,458,239,596,314,352,309,413,593,627,588,819,039,009,034,
524,303,351,572,836,838,105,037,010,712,321,512,192,880,697,363,795,305,113,
977,727,577,511,043,711,535,671,399,280,514,666,204,056,668,246,894,688,251,
511,009,083,550,986,862,746,864,750,868,753,388,904,581,717,921,169,251,993,
265,788,623,665,909,737,457,842,405,563,059,821,747,536,343,763,626,447,848,
192,391,749,838,060,597,983,016,943,764,244,957,106,090,814,438,900,178,510,
137,326,983,969,378,417,137,469,168,574,448,334,699,016,478,148,761,379,851,
677,818,389,378,962,236,457,392,292,326,213,303,207,977,887,108,800,491,175,
468,101,268,463,155,513,175,944,716,594,428,919,335,436,232,215,552,090,895,
522,079,201,708,292,056,297,595,502,658,755,697,941,156,381,497,910,964,122,
950,382,582,703,648,031,128,661,955,395,504,247,652,633,931,772,796,450,891,
379,054,024,887,164,444,157,081,536,566,984,524,753,052,749,084,004,045,675,
925,131,522,474,334,175,383,253,463,337,872,263,522,443,747,289,044,022,135,
885,342,246,025,726,837,684,513,501,272,886,298,624,303,389,279,519,157,680,
532,352,228,367,735,229,261,322,590,776,588,859,679,699,624,246,939,994,440,
525,022,748,279,437,528,676,046,771,739,435,123,059,318,659,160,446,763,419,
516,471,647,048,194,858,189,014,383,928,000,884,219,952,201,077,203,694,528,
569,323,822,398,160,208,245,208,900,975,723,747,835,132,135,845,513,568,408,
785,125,107,744,018,592,960,276,342,948,619,772,123,086,499,864,591,757,296,
201,980,067,377,084,265,848,237,591,348,143,532,322,461,735,806,082,351,900,
563,959,269,974,682,795,302,430,845,305,791,078,700,798,893,266,852,731,408,
262,946,607,001,756,360,387,405,782,164,010,533,928,756,490,608,850,964,721,
941,286,754,998,199,762,694,985,881,242,739,621,579,255,335,624,856,999,457,
890,434,138,687,011,553,518,333,286,694,190,051,602,058,451,556,713,454,030,
470,852,766,310,835,273,262,340,947,979,807,126,004,943,142,807,555,966,134,
693,390,868,516,273,205,912,878,774,330,130,743,524,349,652,395,199,440,831,
959,821,029,816,160,500,078,988,459,609,983,119,704,796,257,311,669,622,574,
755,504,908,215,116,444,640,003,115,370,944,934,213,106,410,974,394,462,089,
132,162,936,020,578,319,100,166,260,297,263,861,729,743,002,204,498,620,026,
085,047,750,944,278,924,573,322,204,952,021,879,334,796,934,408,666,515,484,
441,052,593,800,207,031,661,672,594,020,713,711,077,508,386,147,259,176,753,
281,875,708,691,502,518,882,814,568,986,397,223,600,254,795,247,826,889,429,
966,395,641,601,726,305,038,324,392,892,494,978,552,892,185,244,422,727,596,
479,593,659,715,209,665,469,321,965,841,581,493,681,728,540,309,151,780,487,
554,636,885,379,173,837,856,324,549,495,929,527,965,009,464,628,218,697,223,
694,922,814,689,724,900,287,792,480,910,707,553,348,832,633,536,638,868,091,
180,470,076,882,246,242,871,420,966,442,780,867,924,989,925,996,685,428,829,
387,992,476,734,492,862,350,256,500,724,725,727,750,465,745,187,300,402,851,
571,413,666,407,922,914,485,776,511,263,130,380,679,853,778,213,319,362,580,
614,625,746,353,865,677,575,357,083,321,953,387,400,525,311,076,894,289,212,
232,007,270,148,974,206,876,733,143,951,136,733,737,191,878,635,491,205,836,
809,321,250,220,530,027,570,892,512,390,755,557,542,344,742,297,389,249,705,
413,981,842,938,278,651,598,493,916,863,208,458,887,843,556,398,662,576,067,
069,745,316,517,697,252,750,663,180,764,658,360,152,427,366,269,409,651,141,
145,982,781,065,693,901,444,287,353,972,992,287,671,076,055,701,436,456,195,
628,248,177,437,946,026,075,628,522,345,861,510,946,622,246,336,505,799,662,
867,521,074,139,381,882,118,264,042,989,417,175,141,599,079,817,540,509,218,
438,999,486,081,945,780,185,957,080,641,119,392,744,018,580,091,821,143,938,
293,602,129,860,198,482,418,268,441,506,546,206,469,752,608,138,192,432,967,
161,792,964,821,903,047,715,612,744,825,231,445,647,456,094,490,136,727,830,
627,977,101,629,797,228,243,722,465,213,261,157,876,912,571,833,221,545,185,
137,619,180,547,850,994,169,792,411,010,918,580,206,357,745,382,876,739,798,
061,244,235,883,937,261,084,014,635,377,041,783,901,251,641,952,060,469,134,
008,041,785,057,695,095,999,271,249,966,255,028,369,916,136,258,955,882,951,
538,161,371,555,616,906,837,175,707,783,798,919,201,480,243,502,531,018,862,
055,053,029,729,782,611,576,967,340,622,367,032,172,058,005,113,609,918,166,
765,922,300,869,109,526,435,950,977,552,808,378,767,072,180,968,971,631,189,
608,132,581,193,647,948,402,427,121,521,508,111,963,768,729,272,628,068,751,
843,680,230,529,202,233,443,714,823,201,776,399,623,979,022,018,081,451,161,
061,637,424,102,342,091,049,976,111,527,094,138,476,798,247,541,392,325,095,
289,618,147,687,839,083,953,517,598,464,969,101,471,096,882,622,698,840,115,
385,276,028,510,945,314,320,670,198,283,902,870,093,046,298,928,353,905,103,
330,644,152,039,362,946,236,791,575,385,078,851,901,503,210,445,313,843,807,
492,556,154,740,095,750,762,340,481,615,054,908,708,740,391,810,745,261,359,
029,661,472,029,129,556,142,395,747,441,304,405,350,492,918,115,295,887,394,
065,012,210,601,012,297,623,523,384,791,305,290,146,693,827,751,360,744,395,
197,576,489,013,388,827,963,863,444,481,707,763,779,690,677,821,211,821,117,
220,945,080,792,963,988,955,158,435,975,922,001,891,651,902,158,794,098,022,
663,550,126,009,799,917,524,697,645,905,170,278,577,835,139,209,968,368,766,
689,762,078,048,290,689,515,288,955,041,203,838,445,391,668,248,996,603,298,
701,607,387,711,765,682,398,743,689,980,766,364,939,088,850,898,357,639,046,
324,481,740,186,777,103,823,331,301,175,884,455,802,392,555,431,625,506,814,
874,389,193,948,278,642,264,944,568,793,804,846,178,036,501,163,580,867,142,
010,518,395,195,175,818,434,448,162,394,542,246,188,177,618,439,183,516,821,
000,201,904,955,967,900,300,318,969,528,636,827,538,502,989,915,293,848,899,
251,185,656,241,709,184,354,959,880,441,375,664,379,925,347,727,714,997,189,
018,375,510,618,204,520,893,613,032,757,314,701,358,676,254,691,684,706,178,
936,187,324,198,570,144,117,919,499,319,467,221,778,345,685,879,820,109,174,
077,863,526,571,291,886,948,867,984,959,937,605,910,117,412,148,206,490,007,
777,299,517,357,622,395,238,274,793,341,775,689,694,365,321,924,843,335,193,
217,709,435,884,911,170,830,175,340,193,385,250,238,154,326,389,374,533,491,
161,454,462,634,256,469,050,738,317,333,514,363,945,335,294,773,066,790,264,
645,451,625,788,134,269,280,904,461,077,296,187,268,460,024,265,466,392,617,
158,231,360,027,063,249,384,372,325,137,775,108,109,608,079,926,426,759,808,
002,878,047,353,190,227,699,091,888,757,277,787,021,214,903,396,507,903,396,
743,896,603,159,265,594,028,034,588,782,699,662,665,058,760,512,162,995,813,
467,947,978,899,780,734,713,941,805,554,417,303,687,766,926,155,468,743,126,
497,372,651,669,769,007,574,285,830,860,339,424,795,041,191,302,246,332,236,
657,855,273,630,193,247,799,553,715,945,518,422,933,797,976,133,414,606,219,
528,698,619,893,604,134,000,716,006,951,421,058,148,716,779,063,407,164,515,
453,424,281,695,377,302,195,083,982,377,796,376,305,305,887,766,826,231,440,
629,331,933,720,424,569,121,203,876,632,583,300,787,557,290,342,505,237,616,
835,666,242,075,721,446,292,435,414,776,992,869,132,023,339,651,943,570,006,
067,734,132,090,176,374,102,223,330,811,674,148,692,454,301,694,729,296,573,
727,677,461,800,965,734,659,631,277,678,393,488,909,640,816,431,451,249,889,
730,468,887,362,179,943,917,754,221,952,335,958,936,366,004,095,288,672,161,
828,488,805,139,382,572,787,491,968,925,938,190,763,548,449,550,383,376,535,
131,147,860,714,022,253,917,648,601,578,091,268,985,444,216,017,085,641,393,
260,702,567,765,082,728,990,621,851,439,838,397,145,104,229,389,137,906,092,
198,180,782,280,552,909,725,777,894,586,197,802,273,681,367,894,141,626,310,
770,012,828,627,636,039,212,448,121,353,201,958,911,515,106,090,574,797,624,
135,575,833,886,262,589,944,184,010,603,146,867,641,116,651,724,576,048,416,
467,837,096,331,330,789,656,461,488,551,700,284,145,094,544,119,433,394,040,
054,008,781,146,202,478,874,849,246,122,353,116,522,171,613,910,075,302,550,
316,508,216,723,186,626,368,911,827,964,103,265,784,279,854,636,189,568,446,
768,217,955,908,940,729,534,381,064,285,374,276,364,574,563,067,845,324,145,
252,033,654,311,444,373,190,930,867,533,335,102,630,659,590,286,532,266,390,
257,082,543,105,253,640,013,324,176,870,404,734,081,162,876,250,798,214,846,
531,115,772,097,456,434,054,710,849,749,359,671,677,247,043,953,562,379,346,
763,866,180,624,369,571,103,021,518,840,781,820,777,684,041,877,072,598,477,
455,696,843,753,674,211,388,578,676,988,808,167,212,554,796,674,635,497,939,
245,355,296,745,321,270,450,343,139,854,533,921,847,665,666,173,775,116,519,
403,345,188,870,927,362,375,029,581,555,826,317,135,836,124,050,890,235,458,
214,867,474,145,398,897,705,915,219,032,429,519,394,782,452,233,132,829,685,
676,897,762,650,188,075,060,347,327,708,235,833,041,179,317,036,993,819,479,
499,215,812,130,200,898,115,741,876,528,735,936,663,662,923,727,083,459,064,
506,176,611,547,682,903,031,610,778,649,357,099,691,385,782,378,690,464,175,
048,183,684,279,855,269,355,478,233,928,034,413,009,773,847,771,012,639,951,
546,265,356,205,354,190,507,815,320,401,604,232,463,902,646,647,941,620,826,
549,934,902,448,211,801,530,742,624,988,061,526,663,115,460,013,329,624,719,
668,899,561,676,525,487,834,739,829,714,691,861,596,117,129,336,408,358,774,
301,216,073,357,598,578,905,133,934,557,014,599,541,473,215,161,911,048,427,
571,048,900,886,258,785,774,333,060,484,657,794,243,970,221,824,093,470,150,
792,913,646,662,941,182,319,656,831,151,080,075,676,332,749,850,315,336,728,
713,552,354,724,203,414,138,821,068,897,484,854,648,134,470,768,196,324,150,
982,800,366,060,858,189,759,783,581,333,731,888,109,676,599,353,372,953,031,
705,708,295,423,401,279,201,792,572,124,893,871,519,360,009,564,248,779,496,
472,022,088,399,108,734,512,894,245,709,036,422,251,091,923,538,498,635,055,
904,312,044,725,215,719,962,704,657,671,601,143,975,125,599,397,667,444,300,
099,101,643,195,535,523,527,007,290,276,068,939,249,965,604,404,878,495,526,
581,864,915,667,158,840,706,427,658,740,962,598,489,949,737,498,946,133,736,
356,457,550,625,652,268,742,777,993,814,308,530,637,549,612,504,468,019,959,
085,713,829,093,340,654,841,441,914,600,964,913,471,363,748,900,200,853,368,
789,114,294,769,267,240,653,861,705,159,547,418,237,458,432,490,439,850,796,
984,949,706,466,070,205,348,745,296,534,900,096,510,173,634,809,109,400,256,
449,565,676,788,580,161,734,136,892,043,638,948,291,276,167,534,686,538,814,
109,851,788,292,815,537,332,677,872,612,561,751,752,606,001,897,202,371,289,
319,074,927,105,426,101,218,319,638,124,758,176,681,942,677,872,289,879,008,
973,122,539,901,609,805,630,058,104,373,874,008,913,761,472,655,618,589,058,
881,466,188,259,678,693,008,302,878,160,529,019,323,245,941,780,526,096,672,
957,581,444,037,124,750,816,545,796,179,756,458,632,029,500,045,225,952,738,
104,734,728,788,338,550,756,655,803,284,063,808,342,506,385,983,790,255,805,
396,868,313,485,766,726,352,416,432,230,438,750,263,796,819,260,171,245,046,
649,276,631,433,043,674,401,919,070,796,258,765,613,039,310,563,589,435,594,
639,107,017,813,344,529,788,186,810,920,738,037,200,545,282,175,507,846,213,
667,237,074,773,038,187,164,148,116,572,023,466,372,021,012,930,036,370,284,
505,760,514,664,709,421,192,885,570,552,398,279,775,838,377,169,672,081,960,
977,301,790,029,439,858,962,639,251,719,856,788,616,865,981,060,865,591,615,
950,524,109,490,983,018,252,715,942,312,486,424,561,897,129,220,123,084,257,
915,157,827,813,083,828,498,895,497,918,168,938,192,250,484,632,929,210,602,
329,878,525,600,194,698,366,702,798,165,348,176,109,203,200,158,746,972,916,
965,536,913,941,609,449,437,207,834,456,284,553,463,611,742,373,623,494,557,
811,872,532,753,347,594,437,040,219,323,538,075,832,848,103,919,300,785,621,
441,634,026,130,059,283,943,214,148,336,840,028,739,967,145,835,946,805,219,
844,465,641,633,774,235,559,724,870,802,993,242,049,202,957,620,320,595,472,
033,077,575,286,917,603,739,565,648,565,484,244,657,651,979,355,457,430,348,
152,139,071,335,004,270,788,410,892,899,749,417,867,409,938,201,639,997,838,
108,083,598,988,663,924,663,747,012,328,369,230,664,553,174,723,618,093,036,
914,903,603,694,859,988,673,128,955,185,273,381,605,149,555,193,105,588,046,
339,724,864,558,248,063,536,307,490,081,857,445,874,995,392,785,422,468,957,
719,594,169,001,350,332,137,624,901,753,788,570,648,233,535,996,736,815,752,
651,199,101,335,833,312,733,711,257,149,138,665,982,204,502,567,767,271,823,
501,026,446,621,379,781,367,105,568,339,340,078,473,150,015,814,623,873,188,
653,986,575,592,636,145,947,628,833,293,475,243,899,043,829,918,853,456,196,
576,572,620,700,712,937,578,750,026,223,440,263,587,485,136,859,699,783,727,
364,161,623,412,860,847,998,357,680,759,675,897,584,285,798,577,648,660,979,
275,961,085,101,752,571,746,189,665,845,483,373,587,022,763,918,393,981,131,
911,367,084,367,560,477,646,166,771,082,612,267,529,598,037,553,172,947,050,
105,817,892,596,772,909,420,334,652,607,594,231,308,129,061,693,143,625,011,
776,786,402,003,472,173,656,027,753,558,177,025,640,838,522,216,780,638,472,
372,588,370,466,965,982,834,471,147,231,895,860,813,685,320,030,861,770,034,
424,281,314,123,340,830,312,183,693,503,718,565,986,737,868,171,173,782,856,
430,541,895,821,456,451,359,360,894,426,343,754,171,117,399,268,057,638,068,
372,970,007,185,062,346,649,406,035,611,612,892,394,231,159,840,566,744,192,
148,837,958,486,381,153,034,620,283,734,475,521,037,180,577,783,054,904,542,
122,036,516,275,553,315,661,655,743,375,872,588,984,051,075,201,633,252,946,
822,773,581,826,592,666,234,325,225,373,636,887,908,460,981,303,139,037,882,
578,181,086,254,537,765,551,958,780,809,228,490,445,812,520,786,156,248,287,
259,217,300,640,074,318,899,420,720,130,261,575,157,221,378,116,540,956,695,
133,641,645,439,885,852,238,593,598,043,962,709,650,369,199,700,841,764,727,
422,185,942,702,936,017,381,074,605,007,334,497,583,648,212,439,790,190,174,
688,509,789,092,413,262,018,624,055,714,248,292,214,979,747,652,799,507,649,
586,429,153,561,310,389,362,723,801,365,627,055,890,712,011,277,410,958,306,
713,792,933,246,004,479,461,716,937,181,481,026,523,981,596,983,674,788,486,
512,082,113,798,978,993,170,109,423,784,710,724,739,940,434,761,511,463,339,
623,226,511,989,709,444,689,890,145,961,011,855,764,350,409,058,730,956,864,
808,865,531,487,913,741,067,329,574,049,336,750,701,198,245,397,492,923,605,
570,567,219,262,368,510,215,331,454,815,563,780,070,710,206,771,361,321,269,
361,586,961,543,872,961,610,749,938,105,832,225,417,068,879,958,622,511,889,
624,368,104,529,574,468,206,834,331,745,548,314,897,013,412,538,018,949,080,
758,309,451,694,647,829,704,947,230,038,369,878,543,559,190,677,220,973,206,
639,148,654,754,131,117,506,820,143,603,718,893,686,434,364,879,751,424,395,
497,270,490,592,785,264,962,096,305,860,697,721,677,577,691,316,694,590,501,
121,412,621,928,236,767,537,041,057,085,669,300,689,112,123,254,397,363,158,
455,103,448,102,714,720,161,968,604,293,391,161,874,137,696,311,286,786,106,
035,791,675,293,980,322,048,768,218,634,005,608,266,932,316,550,101,385,852,
713,170,625,928,634,096,064,583,120,048,632,640,873,206,712,339,295,842,187,
970,609,710,708,110,050,562,892,618,622,415,355,923,199,901,243,959,850,039,
525,478,543,783,882,555,666,469,185,193,377,944,317,057,154,736,164,726,653,
092,607,458,042,378,585,299,379,915,853,108,782,095,076,494,171,880,017,960,
254,953,016,592,771,944,430,385,348,692,415,931,902,106,769,092,841,099,959,
375,360,283,032,937,745,714,406,020,645,844,020,971,058,180,388,930,225,359,
471,598,584,877,210,555,172,769,103,573,494,002,545,250,983,371,035,896,957,
895,422,767,397,678,560,948,803,508,994,114,960,724,709,952,052,769,192,097,
961,341,179,400,563,682,842,573,476,415,760,512,758,955,198,093,544,297,565,
270,174,440,567,549,964,024,181,516,858,317,092,534,149,861,241,954,750,631,
263,912,756,860,930,181,436,661,867,942,032,369,373,151,647,397,781,487,991,
908,401,221,552,867,407,387,262,116,743,814,191,111,341,181,775,257,189,496,
519,351,544,589,095,065,281,583,467,448,258,800,985,248,764,658,372,278,701,
695,092,971,318,607,326,776,187,282,615,525,357,252,933,391,425,183,048,931,
013,138,531,557,746,999,544,055,306,162,023,269,490,882,252,800,305,034,494,
411,778,131,747,626,857,471,915,929,302,385,860,604,130,555,820,980,760,178,
471,812,047,179,217,577,795,255,387,124,031,160,690,873,744,932,992,536,691,
837,373,617,346,758,740,284,948,492,040,953,314,937,089,205,031,727,390,516,
915,558,617,230,530,969,422,244,435,887,853,876,305,628,637,624,897,014,785,
659,422,875,743,755,325,804,570,388,749,974,080,244,498,904,535,031,503,161,
598,828,719,977,039,431,185,936,268,495,706,011,312,773,804,108,498,467,096,
617,367,142,350,140,915,228,300,184,401,813,175,110,861,620,851,133,326,704,
163,332,468,171,675,738,912,989,204,573,789,510,457,496,269,399,545,288,378,
880,859,951,073,573,089,902,366,099,353,102,063,625,414,636,905,192,123,424,
697,668,785,657,249,485,840,735,431,911,380,632,215,669,595,671,299,752,051,
251,704,788,579,999,009,450,046,691,139,416,582,732,581,287,816,482,398,093,
112,648,752,267,415,647,677,310,758,432,366,043,415,363,744,074,517,056,755,
712,722,608,677,785,391,912,696,688,197,638,810,546,225,399,407,747,364,024,
502,396,003,891,240,543,150,650,651,373,965,685,634,507,828,874,376,044,279,
545,033,099,412,055,861,712,707,626,323,820,433,548,548,978,652,604,026,258,
319,392,732,737,261,950,350,360,493,707,974,146,882,487,766,726,869,136,850,
292,162,233,781,626,284,631,157,455,333,511,692,088,406,100,456,804,945,007,
123,281,951,063,258,406,274,177,625,320,631,469,473,765,983,964,182,392,216,
068,646,619,465,785,402,449,356,798,908,649,416,637,688,025,625,169,379,661,
979,939,491,230,163,598,452,194,052,123,180,695,392,157,557,881,853,990,800,
342,425,664,777,677,070,970,750,229,839,662,662,889,100,052,358,474,635,805,
504,386,596,086,844,140,908,374,006,899,402,795,618,357,052,086,358,395,550,
350,314,174,735,385,503,605,234,425,514,610,772,567,936,110,240,598,331,216,
586,721,132,122,813,280,282,732,796,364,417,979,523,012,257,847,795,399,171,
340,710,774,216,207,796,783,947,409,745,288,400,798,838,412,390,468,942,494,
727,502,929,749,975,179,373,815,825,719,847,800,057,478,915,355,566,993,083,
523,340,305,808,169,295,751,337,664,399,898,774,186,867,722,428,007,952,530,
850,938,356,133,500,000,839,241,112,147,656,687,974,955,581,734,510,953,674,
289,873,620,875,147,154,688,924,170,188,055,603,377,461,710,173,007,082,833,
589,486,983,227,089,524,773,266,997,915,538,232,652,570,631,266,793,109,659,
485,820,711,348,479,928,880,558,192,703,532,088,904,434,448,532,363,317,486,
370,454,986,551,290,766,951,952,147,466,531,626,006,106,882,967,798,245,591,
717,762,039,388,462,893,526,174,588,700,096,859,195,105,700,427,049,236,223,
352,074,797,803,524,111,310,115,486,400,413,621,262,179,891,350,375,742,316,
170,156,676,054,962,227,083,978,306,952,872,816,288,663,653,336,312,072,211,
504,870,469,706,220,726,074,717,665,182,894,283,018,425,651,420,929,128,555,
531,072,151,600,988,235,628,484,177,272,844,884,893,110,560,366,183,198,516,
975,221,962,804,161,792,941,628,332,187,691,324,739,460,448,745,110,006,155,
584,986,866,615,636,278,805,450,481,803,227,411,559,017,199,768,578,245,422,
282,636,299,498,634,265,093,655,785,908,661,152,987,780,728,562,438,984,536,
072,267,141,079,492,738,601,487,806,661,926,950,023,418,086,742,702,406,767,
191,784,214,332,961,629,414,550,557,871,151,191,819,066,217,179,516,040,097,
535,392,440,555,562,392,544,961,215,535,770,176,781,586,181,249,284,632,202,
455,507,992,791,408,281,750,797,822,015,837,265,521,423,550,566,583,191,489,
016,917,278,932,231,902,712,828,504,924,557,544,443,934,066,651,927,225,168,
341,545,640,073,907,371,053,998,436,663,836,430,237,072,743,172,240,813,503,
190,735,196,844,291,752,765,654,182,799,205,153,008,431,707,255,655,044,113,
941,113,607,986,278,532,059,063,566,388,657,764,677,800,127,995,405,128,897,
421,305,961,087,579,361,090,580,964,252,835,393,045,535,807,227,960,838,688,
174,910,391,388,729,240,095,932,571,748,168,693,090,648,296,051,841,077,462,
272,357,594,157,597,809,752,955,555,470,259,708,128,598,973,749,937,199,135,
144,784,954,998,909,318,661,597,894,519,867,176,905,261,179,280,533,383,166,
290,053,685,176,283,585,767,841,633,624,727,277,858,404,322,897,432,897,626,
104,320,159,076,447,749,497,910,263,197,439,731,943,555,264,535,759,032,768,
698,922,051,489,321,996,199,077,905,720,698,555,711,584,123,896,797,712,842,
028,511,936,426,570,274,186,155,893,940,938,428,841,623,069,129,233,937,086,
689,561,078,265,405,108,000,410,869,496,585,106,129,745,653,115,047,577,079,
182,366,380,530,841,352,720,026,324,167,833,787,913,039,199,898,659,174,105,
155,168,964,991,671,805,052,048,920,496,713,038,339,709,061,231,462,741,315,
283,348,027,235,501,443,260,594,322,369,602,758,043,420,389,140,098,921,377,
813,134,609,325,345,398,974,347,959,843,944,841,609,746,642,541,620,537,204,
117,442,036,793,978,633,930,484,634,239,852,680,459,217,773,793,246,987,552,
671,388,401,293,480,941,766,356,756,035,054,607,964,003,138,358,547,573,535,
755,530,482,936,549,643,028,689,228,016,024,947,490,343,907,125,971,481,783,
676,121,883,287,437,555,058,110,848,643,931,138,605,876,486,614,982,501,573,
151,518,484,443,002,271,446,643,920,064,111,755,389,034,194,245,324,726,878,
266,987,911,026,243,971,145,495,361,232,477,547,946,290,538,022,976,296,219,
128,845,272,571,476,793,108,396,045,839,941,454,277,563,374,886,649,728,452,
242,412,525,871,601,087,534,031,503,557,080,237,102,309,320,694,609,957,592,
007,364,387,585,441,596,501,797,561,812,900,371,234,279,740,419,941,756,263,
875,434,512,451,577,950,547,474,656,242,328,901,636,385,199,120,541,533,168,
611,317,627,072,586,931,076,194,931,051,065,454,916,101,101,255,601,269,852,
075,792,283,118,785,429,669,927,255,897,894,422,046,959,887,565,117,704,020,
946,266,894,089,206,014,124,289,722,822,795,594,630,500,154,522,839,095,747,
961,013,360,446,480,206,255,178,045,311,988,648,011,945,620,529,983,414,438,
028,978,496,345,085,812,282,080,080,633,970,213,608,272,562,364,151,753,096,
058,514,669,333,021,550,432,766,295,152,285,241,602,346,959,308,658,007,653,
748,572,109,279,030,916,878,014,033,869,995,431,618,819,824,409,637,808,994,
228,414,107,408,078,927,435,121,478,515,149,884,723,434,183,815,959,791,668,
291,999,979,308,838,072,249,924,848,324,907,544,650,039,663,402,026,244,713,
274,194,993,091,416,602,021,500,990,625,412,583,530,257,297,750,724,389,911,
598,533,913,966,781,552,331,477,223,647,615,562,724,724,534,374,600,587,627,
053,314,258,440,459,026,787,850,831,358,101,738,297,713,381,056,963,396,226,
056,904,083,885,994,205,729,236,950,705,209,875,045,630,805,031,926,745,667,
362,006,741,884,919,330,677,049,622,920,721,065,653,967,771,465,236,188,545,
372,371,367,042,117,825,580,205,424,412,583,964,670,408,730,108,223,205,960,
034,463,769,412,357,333,655,921,662,875,839,550,258,660,170,302,962,667,677,
634,383,320,335,369,864,228,078,701,992,409,831,711,310,982,146,152,580,832,
221,709,846,471,359,770,007,237,703,857,723,532,401,596,038,103,405,648,120,
406,992,234,004,883,618,670,235,406,427,395,433,286,232,208,208,374,719,824,
667,184,605,358,626,158,617,831,661,778,083,328,258,409,393,294,174,074,374,
847,059,636,755,658,032,495,963,941,269,436,761,230,701,319,340,224,519,252,
999,338,481,414,512,051,258,489,497,350,607,919,418,698,588,094,480,055,786,
621,221,830,040,474,042,693,435,786,980,477,106,258,498,788,894,854,434,737,
832,562,880,682,283,975,627,631,048,699,601,800,095,901,786,323,634,994,379,
835,610,446,569,146,091,367,292,478,120,368,737,904,443,071,168,469,834,609,
182,263,242,445,954,727,353,061,058,978,981,307,985,978,355,153,170,562,804,
539,109,824,871,402,241,491,182,523,382,842,375,390,155,192,045,913,302,383,
341,915,725,469,659,434,075,747,171,044,046,857,853,974,564,235,711,716,037,
886,757,572,023,437,091,643,812,655,718,554,807,785,641,211,796,375,828,143,
776,873,300,834,131,435,050,387,571,193,192,584,706,333,773,102,682,268,267,
604,498,222,385,997,579,553,291,844,590,895,831,095,874,612,535,187,258,124,
331,679,375,429,755,609,194,402,680,473,083,914,429,247,563,373,567,356,790,
499,357,748,375,017,373,958,871,317,850,614,872,923,734,374,937,447,179,724,
122,225,521,477,614,812,305,371,455,004,698,961,368,185,640,770,143,645,249,
986,355,106,832,432,328,824,744,236,745,636,333,147,654,451,712,614,209,949,
465,007,779,315,793,549,543,836,241,565,285,444,275,476,364,169,487,413,028,
435,661,594,694,844,917,917,419,732,330,361,325,117,810,072,965,073,641,059,
286,903,114,685,436,086,980,036,736,180,744,638,133,230,598,536,471,317,275,
907,301,841,327,907,283,800,206,056,197,658,017,300,536,085,959,322,568,152,
253,552,295,894,992,838,841,333,300,037,707,297,132,295,871,953,671,778,288,
826,645,894,126,799,060,808,099,507,192,719,486,359,160,522,796,793,415,748,
639,011,621,721,104,228,656,862,163,765,577,030,417,455,260,351,582,140,120,
185,017,805,276,539,248,440,190,155,938,907,304,995,638,244,528,416,924,273,
971,377,967,607,062,972,608,467,189,687,407,211,602,593,470,564,315,355,325,
259,508,448,412,072,318,926,746,287,841,097,922,279,020,901,754,841,569,844,
040,290,659,247,028,185,242,545,902,214,870,556,899,410,182,774,887,967,646,
904,110,272,776,785,160,551,855,501,163,881,355,233,106,676,491,431,448,811,
471,363,746,492,334,052,385,444,500,220,768,826,908,542,355,733,232,945,715,
931,999,765,880,168,618,226,871,737,190,878,734,050,275,951,732,078,456,347,
826,444,161,348,041,277,499,123,543,929,686,262,305,489,351,920,662,594,889,
830,682,277,171,226,784,901,185,823,063,934,933,453,976,210,972,270,181,318,
631,569,622,935,509,655,788,937,989,043,227,506,869,071,694,068,644,644,856,
631,634,369,989,776,856,489,561,558,427,645,965,737,308,728,566,886,903,196,
771,125,761,525,924,494,518,370,915,837,346,850,178,365,914,771,462,396,329,
663,355,692,847,518,839,959,150,703,877,563,540,814,352,699,092,369,566,392,
358,895,324,913,746,128,669,919,150,429,889,348,739,745,588,717,753,306,151,
068,203,769,586,704,043,065,151,593,985,831,219,696,529,912,023,479,838,837,
192,714,236,088,293,487,504,272,629,459,505,305,562,752,590,289,776,741,914,
554,153,560,132,112,909,225,011,836,325,303,941,580,724,154,451,223,151,770,
348,801,494,022,811,345,031,994,790,303,944,683,576,454,600,647,735,790,465,
330,965,296,739,440,935,454,106,138,666,207,058,136,389,503,726,492,629,131,
162,125,356,615,321,879,229,894,472,473,194,512,744,434,363,906,470,246,487,
676,280,177,229,046,585,728,828,218,383,213,820,239,846,172,316,475,497,182,
663,555,847,393,296,151,836,310,874,114,986,089,722,412,012,716,571,723,301,
332,139,548,039,255,495,586,843,459,988,567,880,298,244,009,072,741,506,807,
420,950,113,315,199,740,881,506,373,853,438,797,307,457,234,071,654,246,035,
445,825,364,584,631,502,720,939,392,885,425,778,885,649,763,504,548,361,348,
053,888,504,777,149,849,242,124,608,551,725,571,772,776,171,296,347,993,666,
284,130,159,483,442,957,704,487,554,726,345,194,085,448,672,802,270,349,917,
417,887,217,055,853,749,517,920,105,629,050,655,730,878,973,318,833,131,665,
180,245,265,231,822,728,345,125,163,001,913,380,802,166,324,817,711,490,054,
093,776,314,918,989,581,699,791,607,499,964,329,066,061,030,208,956,608,090,
139,227,199,498,650,734,711,275,798,337,772,383,232,852,887,479,952,508,482,
455,428,559,384,606,101,868,715,761,828,728,555,791,861,769,702,014,972,198,
278,214,899,381,608,904,796,335,441,986,124,927,706,692,427,871,609,187,369,
336,181,000,178,465,012,191,169,275,504,729,337,729,938,609,675,364,226,630,
407,776,385,730,888,999,042,909,797,229,063,131,947,939,802,815,173,431,092,
208,335,958,419,887,385,245,068,863,900,054,872,150,955,615,050,611,452,815,
434,274,763,231,656,898,040,001,668,849,312,255,400,513,177,170,189,081,061,
306,202,182,145,101,341,707,755,675,017,413,583,591,263,621,517,158,582,699,
330,014,116,468,599,206,055,860,952,415,714,331,988,083,773,985,058,227,721,
677,255,426,788,747,086,739,836,669,991,276,633,122,088,693,755,585,021,630,
013,534,147,199,381,031,844,964,046,466,978,563,405,202,657,826,816,514,198,
231,655,937,450,812,817,585,514,093,468,074,934,828,979,737,714,900,636,964,
105,408,041,882,234,910,396,975,609,967,032,832,156,167,725,701,414,972,800,
726,345,447,699,146,906,430,649,999,269,346,043,417,109,300,176,504,738,833,
226,425,284,757,283,134,203,936,442,403,573,726,308,427,838,537,019,450,207,
043,558,706,117,410,974,587,098,836,255,629,711,104,357,645,364,931,518,262,
174,007,663,174,178,382,908,086,329,808,869,737,929,223,981,393,459,934,881,
807,505,634,233,123,511,193,208,796,826,467,244,390,707,388,122,552,237,307,
156,767,166,617,648,272,892,094,110,414,230,073,325,919,509,569,318,133,960,
202,466,381,169,830,382,478,695,039,996,405,308,333,933,277,424,537,816,319,
499,920,696,315,072,462,042,703,784,377,284,987,802,885,409,969,808,887,499,
254,200,374,475,845,531,618,021,330,661,700,540,215,364,477,691,079,930,323,
908,232,402,176,187,096,758,459,221,635,029,879,135,244,859,383,050,647,913,
283,160,457,029,197,702,103,694,302,918,164,408,795,020,530,340,606,023,612,
635,836,559,678,506,780,949,854,028,270,667,728,052,775,338,904,133,196,340,
510,959,359,790,628,466,023,859,286,217,926,099,513,652,315,170,272,439,663,
153,743,144,774,782,989,625,013,702,010,874,121,055,188,160,553,834,411,244,
684,255,355,186,193,576,532,267,696,009,478,856,845,746,007,960,656,256,269,
732,494,194,257,108,847,240,509,012,436,945,402,265,727,174,753,073,486,520,
453,550,032,380,032,905,742,195,950,331,054,453,080,605,343,301,935,598,732,
057,051,307,263,323,305,510,628,123,584,468,720,534,167,865,146,882,348,755,
469,682,017,223,049,479,699,549,194,238,439,862,258,597,181,044,944,214,057,
784,178,555,944,095,207,559,062,134,196,813,502,609,963,772,348,294,742,145,
138,587,251,848,491,355,204,150,383,476,793,989,735,957,361,227,823,208,543,
785,643,789,024,092,570,004,674,610,083,300,006,502,145,332,188,956,868,561,
242,603,311,581,149,254,684,754,041,015,531,399,696,984,128,121,722,610,405,
990,135,057,615,988,715,073,079,639,198,256,286,444,017,542,818,488,998,572,
790,706,652,912,874,391,746,731,788,421,773,937,113,705,453,606,890,960,876,
648,676,945,002,862,562,145,931,938,101,235,902,251,884,706,716,732,317,397,
682,147,940,066,983,093,472,848,591,504,395,732,160,167,655,470,716,170,102,
077,453,644,785,333,712,711,869,841,892,006,501,468,705,172,826,170,471,487,
152,442,110,325,164,162,533,939,342,387,080,525,123,959,962,983,542,435,895,
877,896,121,942,480,861,431,061,164,230,362,956,192,216,945,363,228,344,823,
686,136,783,064,624,495,406,991,913,335,173,345,525,110,339,660,168,196,585,
540,685,883,151,291,444,672,526,975,953,302,769,466,521,655,405,246,874,229,
291,576,854,314,207,374,224,269,227,224,813,094,456,294,436,741,052,629,671,
388,179,129,809,735,237,817,953,238,085,898,097,370,556,884,604,783,238,390,
943,605,505,736,863,964,616,919,976,074,032,285,296,999,149,536,877,235,217,
239,417,204,147,251,917,591,333,542,571,646,610,405,603,831,524,391,117,377,
215,855,950,829,186,187,605,848,495,772,521,706,398,117,868,572,533,934,262,
347,780,204,165,455,904,443,777,818,791,344,153,699,128,573,023,842,541,052,
544,067,419,289,852,919,991,904,796,283,416,366,115,510,954,626,924,162,027,
929,530,126,585,855,502,538,053,477,283,836,321,200,831,337,518,392,005,722,
934,002,759,620,340,838,720,203,309,127,298,133,917,475,174,337,778,854,886,
337,723,131,461,097,601,394,776,308,653,950,054,048,346,273,647,643,968,498,
079,297,343,256,974,566,792,887,972,047,002,875,368,651,777,547,767,435,411,
526,333,055,894,751,168,231,608,562,225,637,083,517,262,307,301,213,935,775,
583,517,996,591,025,175,562,014,083,732,664,661,968,907,106,790,779,072,422,
122,864,147,559,756,799,717,605,604,967,073,565,831,926,117,185,959,403,911,
374,022,455,804,904,601,491,388,851,125,498,742,689,660,183,850,239,222,664,
448,123,513,367,691,378,166,994,319,544,572,530,861,610,765,996,745,290,009,
767,173,542,877,470,545,846,005,801,618,222,262,158,503,802,782,068,806,693,
842,336,770,550,503,181,662,736,461,167,374,703,840,306,226,078,084,808,062,
743,910,192,869,088,351,189,820,953,526,496,350,576,451,134,603,570,939,124,
590,127,137,709,899,148,541,142,652,978,375,689,225,392,035,217,451,464,942,
340,725,860,728,011,572,188,249,629,367,869,041,582,364,245,117,049,761,824,
532,995,515,723,326,515,602,585,848,813,754,258,530,169,113,814,979,715,690,
880,817,859,201,206,291,397,353,730,934,890,566,342,560,017,185,496,868,718,
017,863,961,320,603,825,995,685,141,220,339,664,057,189,386,598,987,955,250,
879,376,465,015,337,902,598,474,072,703,647,297,916,514,814,149,769,677,210,
309,257,185,265,719,929,760,579,512,781,923,379,013,340,218,060,951,345,727,
882,461,317,412,867,679,471,712,672,465,123,055,139,790,612,935,946,121,658,
764,737,015,624,012,211,951,640,508,517,305,855,798,412,996,242,591,079,717,
184,672,791,839,751,914,632,571,172,597,991,516,505,782,428,930,435,155,280,
067,116,180,126,294,132,034,870,304,271,258,881,974,894,882,714,807,619,016,
647,896,729,526,752,829,018,519,661,698,264,106,259,361,474,872,014,170,755,
120,875,136,803,909,040,476,968,341,122,259,855,326,401,957,712,083,190,223,
918,735,951,913,993,550,775,588,831,485,164,977,253,665,152,430,298,848,996,
151,694,105,925,552,803,978,037,827,492,489,848,528,610,752,449,352,008,153,
142,985,516,462,064,255,279,458,982,412,221,059,012,875,647,998,977,057,392,
760,582,575,524,613,516,748,848,509,481,698,084,154,031,367,159,912,744,496,
142,528,509,701,436,970,486,175,334,538,375,883,016,173,761,979,493,900,231,
683,784,407,614,425,993,591,294,027,019,801,624,342,995,912,883,909,613,143,
007,720,491,298,296,283,431,131,024,639,529,273,023,367,506,119,802,628,804,
619,685,364,508,210,770,817,304,018,000,992,217,254,082,658,520,049,488,854,
706,666,788,510,537,328,218,030,981,512,825,078,339,798,613,924,214,172,783,
662,181,366,831,157,664,334,655,983,639,973,830,585,539,534,498,939,555,941,
168,592,949,822,101,236,642,377,246,452,018,926,221,784,657,369,293,451,302,
904,908,576,073,211,855,971,285,350,293,546,121,933,243,274,923,244,128,218,
607,327,770,818,743,579,793,523,521,805,845,731,532,822,077,337,991,664,074,
984,549,936,721,333,204,939,589,434,231,203,870,218,655,747,705,613,461,479,
718,095,802,676,813,837,561,608,797,714,958,823,621,113,703,397,106,368,922,
660,484,027,443,587,698,822,260,353,968,437,449,097,922,990,701,431,646,529,
999,160,917,152,473,062,646,391,353,284,765,741,920,185,410,659,978,744,960,
750,412,897,401,220,132,341,338,429,555,641,058,663,352,491,362,898,841,478,
915,778,303,487,517,712,465,701,131,966,405,089,400,844,697,668,676,878,771,
462,301,129,398,895,043,314,208,757,676,241,448,376,192,558,461,882,713,503,
922,725,049,646,360,752,302,109,218,547,168,138,289,712,479,625,103,187,212,
386,597,981,585,329,412,015,083,543,292,342,534,215,170,376,615,380,870,596,
688,005,577,452,736,155,208,287,060,213,369,518,207,766,189,703,523,837,478,
788,742,086,336,630,908,633,545,332,984,252,921,852,672,197,301,389,445,134,
205,593,044,205,133,641,475,637,641,411,376,374,889,366,217,320,933,935,477,
097,583,049,168,428,904,876,071,597,016,749,932,545,030,545,121,821,869,246,
447,864,585,756,824,382,151,291,320,304,258,068,917,167,695,219,911,681,397,
051,909,850,873,021,993,193,531,189,076,150,498,152,080,215,674,251,312,817,
438,871,105,934,689,955,906,160,509,663,670,759,308,272,488,627,177,365,763,
457,186,383,064,021,742,079,075,703,032,928,191,372,449,061,414,103,092,451,
570,985,961,196,386,075,992,928,337,360,101,385,881,931,801,799,667,119,714,
593,025,595,164,700,604,127,159,497,035,660,697,454,234,629,122,188,146,363,
903,481,220,428,196,270,957,355,031,028,557,331,546,333,884,306,948,656,932,
489,468,755,915,919,082,283,706,315,222,318,900,903,891,333,719,214,706,476,
912,929,178,531,732,354,466,460,981,387,730,242,689,788,787,418,806,542,089,
949,119,404,682,621,219,703,669,542,808,275,245,518,549,077,568,857,334,882,
317,039,167,211,809,807,128,369,817,991,647,531,281,266,277,528,222,762,871,
636,921,047,869,364,894,797,192,490,944,116,151,587,094,672,462,165,074,497,
196,150,666,708,263,488,893,086,490,431,114,873,497,565,758,997,979,271,546,
644,156,601,691,939,124,885,258,417,115,010,825,908,545,426,958,306,669,796,
442,697,579,678,889,697,343,696,835,746,164,395,046,887,650,637,817,199,434,
330,803,597,643,693,019,717,775,909,671,523,228,224,663,644,321,302,128,438,
110,466,495,585,126,672,103,214,295,276,685,736,996,029,104,931,506,132,306,
350,059,325,075,096,950,389,229,727,882,041,313,486,608,336,622,978,181,120,
612,896,014,087,425,191,426,866,568,124,149,505,173,116,905,679,045,189,774,
422,164,751,522,284,140,398,936,774,056,284,519,926,766,974,578,414,703,750,
499,861,750,170,976,918,801,910,256,124,859,681,871,673,099,904,146,305,160,
157,914,420,118,634,797,428,411,569,992,043,412,582,166,078,206,619,046,427,
508,586,442,567,810,228,956,145,707,385,435,728,305,156,045,457,827,051,010,
262,177,460,514,414,163,374,583,908,304,389,441,200,452,543,532,792,423,118,
269,612,970,395,597,539,397,982,017,618,257,971,004,578,204,405,344,205,436,
347,907,461,033,770,318,764,396,404,956,343,528,048,555,546,982,571,858,985,
167,685,661,548,477,897,422,056,290,011,623,750,747,180,914,153,433,993,805,
640,736,472,667,778,356,232,883,539,268,526,439,793,413,710,037,058,155,116,
597,236,024,211,181,034,706,153,911,675,733,568,140,605,407,877,122,010,609,
505,663,759,004,705,499,584,873,835,165,548,092,097,082,936,691,946,582,802,
450,044,322,786,331,038,449,897,741,569,665,121,595,018,877,066,859,426,668,
741,882,051,107,776,047,422,422,147,044,351,105,832,212,151,824,689,641,275,
130,676,850,181,732,804,514,232,988,826,280,870,633,364,961,752,492,191,720,
758,737,798,872,277,007,725,252,877,302,244,590,607,444,511,486,707,200,348,
717,274,769,295,554,690,281,862,734,145,405,679,550,345,594,366,024,993,343,
769,909,251,745,001,547,923,985,760,471,410,538,842,807,568,343,606,286,264,
139,680,208,462,577,077,270,592,624,312,528,796,750,860,601,757,969,224,612,
553,793,809,549,987,228,771,915,685,951,621,298,088,212,517,919,787,179,777,
827,648,186,922,475,991,532,386,830,226,288,454,735,659,050,727,446,047,670,
465,697,865,153,189,787,714,568,060,354,103,173,626,566,694,460,223,539,984,
386,026,961,559,012,217,054,683,478,056,968,231,395,656,960,622,883,384,292,
857,992,106,042,864,250,517,254,600,238,779,897,194,508,898,511,474,464,266,
997,296,517,398,140,868,035,485,748,543,265,729,603,113,979,381,221,376,667,
181,100,249,757,740,276,929,646,123,679,913,890,326,276,673,137,120,887,358,
667,139,512,503,317,254,954,758,317,017,864,933,409,672,076,621,090,410,288,
634,307,964,912,573,734,747,773,685,394,864,783,898,622,470,678,510,257,248,
672,823,732,348,174,634,507,264,794,685,355,537,726,624,822,840,301,307,648,
942,403,012,602,059,107,962,580,027,812,715,930,325,934,739,616,327,996,877,
841,103,681,931,998,114,182,986,416,838,445,094,006,991,566,886,435,999,590,
862,959,701,929,862,213,187,077,407,771,024,441,083,867,977,994,350,427,558,
247,488,750,995,615,216,253,519,742,259,759,695,552,646,398,794,257,140,173,
764,556,389,461,249,803,889,116,928,952,938,429,776,336,505,726,841,795,622,
023,598,254,669,548,912,478,762,775,283,926,161,087,800,750,652,455,813,835,
063,804,847,605,513,896,251,771,982,252,446,403,542,442,750,866,752,572,648,
850,940,801,620,720,247,026,461,840,162,777,399,140,504,079,487,129,902,873,
151,794,644,124,151,420,378,108,120,350,021,591,346,859,897,298,199,426,527,
325,722,744,312,785,323,907,378,353,687,553,532,997,832,416,308,220,219,024,
770,653,937,642,791,475,502,330,535,228,879,742,959,456,696,766,641,901,272,
619,762,490,433,653,465,200,441,637,237,444,891,128,773,956,077,945,963,533,
033,842,101,012,068,317,219,497,785,655,056,114,818,796,088,916,500,924,476,
751,922,553,505,003,486,046,918,636,419,307,027,976,409,622,971,850,625,928,
454,265,820,088,080,092,916,171,098,246,891,629,262,791,763,928,548,162,252,
020,806,065,290,495,105,855,364,622,421,207,550,918,901,169,819,503,545,871,
870,041,828,987,048,605,099,752,545,235,374,806,399,108,814,345,382,350,242,
329,917,548,004,056,788,888,534,675,607,003,500,477,780,161,616,623,631,123,
840,252,036,986,317,289,519,175,228,202,646,846,785,058,768,595,224,968,105,
931,337,825,282,661,502,972,513,955,191,304,288,219,148,957,100,037,664,926,
984,117,230,198,995,911,205,683,159,573,528,788,759,336,534,670,104,815,016,
444,807,761,201,529,727,219,481,870,549,606,867,335,809,269,082,036,870,119,
726,281,806,789,688,874,911,318,612,356,059,573,702,391,836,164,527,701,988,
525,958,327,240,968,495,285,725,399,473,341,860,754,454,776,350,977,076,103,
585,637,224,845,557,144,923,164,174,780,100,323,784,586,869,398,571,770,693,
884,812,556,052,286,007,202,311,211,078,675,831,449,212,520,998,962,391,397,
393,027,870,517,360,117,452,615,401,297,090,625,376,561,072,123,799,692,086,
992,930,446,075,762,627,496,770,920,377,553,509,252,588,372,163,950,499,451,
262,288,586,911,910,569,470,938,284,335,943,154,129,971,436,480,938,680,900,
871,689,063,893,335,442,552,751,633,217,730,304,002,227,564,145,634,251,253,
631,594,099,236,915,862,864,791,764,923,735,700,702,839,639,316,018,212,862,
384,866,766,853,884,421,998,503,754,805,189,119,692,771,800,435,779,010,802,
205,252,068,119,139,463,831,781,513,530,346,028,353,327,517,860,015,987,639,
916,162,878,157,985,112,741,199,800,588,536,430,881,826,485,337,418,938,715,
733,652,186,496,371,611,065,031,441,102,187,153,913,710,491,933,049,763,219,
004,492,101,880,755,239,295,640,037,527,085,659,586,120,938,123,860,368,897,
678,264,883,789,798,764,727,314,059,651,983,913,503,164,343,471,018,297,533,
535,952,544,818,342,787,860,100,647,592,972,706,900,878,457,572,480,400,115,
814,850,927,970,624,988,827,344,658,957,000,706,528,872,868,654,852,275,128,
549,296,322,941,823,684,104,279,608,125,068,640,747,215,611,565,742,272,324,
657,887,920,434,368,332,209,604,417,454,453,097,022,211,649,757,245,641,409,
824,046,875,923,211,472,006,242,828,056,035,984,494,651,883,799,910,430,251,
153,876,397,921,207,557,860,048,384,173,744,352,729,815,381,544,395,885,257,
990,546,210,513,013,706,592,519,619,745,668,966,348,660,664,152,918,376,488,
960,031,046,494,215,979,634,412,530,356,371,683,794,022,866,406,049,203,163,
735,069,039,589,653,494,197,704,830,121,707,471,781,031,331,269,626,994,916,
795,548,101,676,579,539,837,558,574,853,930,805,504,090,147,270,897,639,711,
339,699,156,889,915,320,775,562,689,935,539,125,566,744,683,818,573,390,641,
195,304,944,992,517,738,886,534,132,166,456,006,739,659,940,010,854,498,296,
012,961,987,859,179,890,020,637,102,504,344,321,705,428,647,617,025,147,511,
422,945,658,709,455,763,150,561,254,254,149,145,666,937,477,706,139,310,484,
154,459,163,132,469,972,657,235,783,266,957,175,530,267,312,378,625,315,637,
818,157,050,540,290,408,500,769,042,722,636,658,092,960,176,408,945,467,284,
220,685,602,215,151,874,049,959,096,954,845,657,043,588,379,396,021,589,975,
769,220,646,317,937,820,350,984,956,305,445,588,799,358,469,257,251,775,357,
047,973,171,900,014,410,039,382,117,797,053,313,172,909,735,266,975,022,370,
602,996,412,923,904,054,920,838,603,676,320,440,649,182,989,535,707,287,894,
499,971,791,856,944,978,064,886,953,483,895,143,213,879,650,765,002,385,587,
880,866,584,198,546,595,929,502,236,056,972,074,292,192,552,198,783,048,207,
519,255,039,354,882,255,280,431,504,621,258,974,202,403,898,080,838,618,721,
177,683,956,026,691,515,044,631,656,496,780,988,521,205,420,734,975,258,939,
139,479,736,265,574,352,495,005,565,746,777,286,485,004,749,121,405,973,605,
766,106,382,077,809,477,595,662,333,730,488,839,470,085,610,960,785,315,639,
150,693,719,409,182,792,299,384,577,211,640,456,644,827,251,605,218,718,031,
076,728,981,584,380,146,748,867,664,734,628,372,507,621,556,370,603,652,313,
841,006,229,525,568,826,871,163,979,026,983,507,360,295,874,684,644,519,701,
927,050,884,521,885,660,664,013,433,733,024,890,911,070,559,856,391,645,677,
786,519,160,242,751,410,479,157,727,130,332,333,183,215,588,681,045,396,606,
452,020,523,632,595,477,652,725,391,175,373,892,966,632,191,358,015,150,156,
892,739,926,104,965,550,439,935,555,735,741,385,410,306,251,851,460,424,745,
273,706,010,828,531,517,137,933,860,680,119,620,141,138,691,889,380,106,392,
450,483,820,419,829,701,532,772,766,656,942,344,888,700,020,150,688,593,965,
791,890,206,602,576,066,008,643,385,503,469,563,508,361,189,041,007,870,278,
918,386,647,241,831,583,260,203,851,084,697,722,874,704,667,543,506,081,344,
290,002,278,753,929,930,685,443,290,382,127,203,549,355,283,721,522,836,054,
910,813,199,988,234,059,220,294,698,275,589,168,525,078,222,533,854,248,498,
653,062,715,026,773,796,377,077,790,945,548,626,908,389,193,017,749,251,221,
818,102,598,254,678,606,299,517,927,228,938,088,161,878,061,000,747,585,608,
902,994,376,076,684,904,134,648,436,160,930,952,464,459,421,903,248,791,138,
178,894,247,487,507,303,141,523,966,531,957,032,670,054,512,369,706,177,812,
303,126,918,991,755,565,468,898,930,146,945,117,335,735,120,155,216,019,428,
720,794,008,576,983,784,587,675,300,688,085,363,774,276,447,806,375,001,524,
199,800,034,723,019,659,280,702,710,175,501,382,286,309,650,579,224,170,233,
234,980,469,224,028,320,556,684,770,787,343,599,395,261,152,856,427,560,308,
956,982,814,486,033,567,823,695,083,815,749,216,219,053,951,290,016,670,396,
201,312,489,723,005,394,865,734,251,625,342,550,055,377,285,962,318,032,606,
429,704,560,899,219,009,517,019,084,582,165,039,149,304,159,614,329,846,318,
970,021,322,552,367,137,984,204,523,794,029,047,052,767,850,853,307,148,415,
619,364,471,742,242,286,972,481,751,685,577,382,385,029,178,187,525,247,570,
401,278,973,397,023,550,368,095,960,919,296,676,707,919,739,520,226,889,712,
263,857,412,885,389,025,132,374,593,571,566,478,399,670,833,338,296,118,063,
702,417,099,956,115,591,176,855,795,582,128,024,746,981,927,044,311,151,006,
097,328,061,973,427,231,992,605,204,982,880,292,557,948,986,755,263,973,391,
464,432,234,836,215,149,236,528,334,115,045,657,415,096,097,514,390,088,851,
058,022,797,100,653,761,194,548,431,900,966,041,897,222,576,804,868,491,900,
602,959,055,822,021,499,518,017,060,302,467,260,993,745,831,933,769,956,602,
872,963,181,873,585,459,052,664,955,140,333,064,200,863,500,501,383,265,852,
853,350,473,284,732,452,587,786,727,938,619,226,939,931,071,545,946,670,059,
417,935,735,368,884,820,055,202,009,163,831,490,279,999,926,792,760,110,798,
093,795,663,492,421,927,185,054,170,347,031,130,315,913,084,770,231,772,854,
820,859,308,350,214,360,107,274,564,306,671,483,711,394,390,059,496,082,357,
227,622,418,656,318,662,158,344,010,468,837,418,071,502,478,764,885,437,397,
039,050,821,577,473,728,858,361,916,042,854,834,466,580,710,121,682,794,855,
701,945,606,799,529,886,043,387,207,409,003,444,895,378,937,372,616,992,824,
511,283,247,816,130,304,753,889,089,945,429,367,887,479,253,228,839,362,449,
644,062,706,685,479,336,498,904,061,179,826,740,381,105,743,302,517,503,304,
431,154,110,296,961,836,648,557,092,535,711,121,838,514,742,924,848,032,182,
067,141,589,737,052,712,618,831,037,886,276,845,604,074,684,841,864,653,039,
669,953,827,139,799,002,236,105,201,879,773,592,176,581,248,389,980,147,764,
817,598,697,123,935,365,184,330,574,088,316,659,509,211,655,485,323,229,057,
059,223,420,094,928,444,773,086,073,510,187,939,247,056,435,927,831,594,158,
051,548,404,645,473,342,293,394,561,232,674,216,952,438,454,371,451,830,040,
473,545,676,104,802,488,426,277,560,810,205,685,876,583,041,947,921,957,416,
965,242,673,208,158,408,414,767,011,458,408,573,212,634,680,677,586,467,862,
294,711,512,231,347,726,927,101,709,869,116,027,267,914,425,978,521,913,828,
417,127,389,132,312,266,133,106,094,894,649,695,654,326,612,152,849,114,682,
372,243,454,235,943,951,461,953,613,019,097,972,600,554,308,741,576,597,358,
126,755,495,279,525,587,523,187,433,976,677,820,275,570,671,488,556,084,123,
779,442,802,971,839,931,237,730,851,803,863,090,270,648,184,007,404,592,058,
228,624,717,782,055,266,391,280,419,010,787,597,281,218,027,345,755,527,158,
331,400,394,971,554,083,350,601,859,572,727,453,129,818,854,998,135,176,754,
401,608,493,965,681,271,194,828,025,887,086,552,856,299,889,504,897,487,640,
101,434,131,824,287,373,609,280,606,762,259,249,335,487,401,926,316,464,011,
755,848,987,544,331,900,930,944,249,225,767,795,090,710,467,838,528,123,249,
114,380,916,020,163,636,199,666,022,886,124,032,445,126,510,386,528,275,293,
892,511,108,455,074,289,335,379,439,707,053,317,948,669,536,236,844,959,574,
939,377,559,564,012,979,903,137,884,511,658,843,657,452,519,341,553,042,201,
459,525,893,201,077,498,724,173,939,845,307,666,660,855,172,018,716,710,695,
831,402,099,324,195,305,272,565,823,599,862,202,117,869,174,328,383,677,016,
509,206,944,354,751,441,506,596,207,459,575,209,336,500,128,800,393,497,463,
507,463,611,232,553,176,993,479,197,698,390,040,795,343,346,111,030,577,281,
062,466,252,314,370,776,706,002,585,773,720,327,467,591,966,411,031,376,432,
588,967,078,564,181,443,924,787,966,294,728,915,591,316,075,041,945,161,208,
165,068,671,930,751,062,640,752,863,860,571,463,898,117,024,946,469,067,660,
695,028,357,537,600,716,377,324,497,462,183,636,067,591,657,072,149,990,957,
108,144,473,888,841,028,978,666,194,783,807,070,902,818,833,893,004,719,414,
093,001,693,187,053,217,351,716,923,206,420,077,560,780,621,933,116,934,422,
832,793,744,435,524,471,368,163,859,020,536,887,194,314,965,100,895,156,985,
539,611,902,365,845,895,187,671,140,183,707,384,474,106,820,937,687,856,385,
933,959,352,427,274,448,486,735,922,770,568,981,760,958,426,603,022,380,371,
768,918,985,272,688,293,271,138,526,841,215,126,128,644,798,808,265,107,819,
120,918,761,929,923,731,478,845,115,526,498,953,522,751,111,523,058,183,723,
295,452,949,488,100,231,734,401,425,925,844,241,550,517,041,644,892,469,717,
195,447,352,432,030,807,987,108,488,753,895,992,397,203,235,902,363,318,980,
462,542,366,343,122,598,253,038,162,382,679,791,917,533,807,107,924,914,223,
507,335,633,086,831,956,495,904,824,688,436,027,489,486,105,519,581,758,940,
850,730,242,202,108,372,592,380,525,930,378,113,354,321,494,454,663,152,444,
388,982,847,114,928,461,623,988,703,634,710,831,851,155,985,579,619,211,886,
775,925,386,618,066,256,940,738,035,603,582,428,650,819,856,365,725,621,193,
061,833,598,944,908,494,708,790,411,441,116,166,508,505,816,115,553,824,141,
283,396,185,820,517,379,279,327,855,157,394,341,869,583,147,116,333,222,109,
224,571,730,964,554,176,649,490,271,960,504,957,386,282,007,904,899,909,348,
647,751,788,617,358,166,501,455,421,211,591,350,960,375,797,261,776,743,204,
903,358,628,623,831,141,974,300,534,886,364,364,141,674,578,631,541,276,933,
946,419,382,839,035,094,114,062,210,588,869,114,231,268,434,074,678,920,069,
375,908,410,370,657,850,085,790,723,025,396,929,071,031,592,893,556,297,026,
486,636,430,865,862,467,857,838,190,172,589,182,810,898,235,804,950,673,092,
108,287,727,045,415,831,447,074,968,626,885,351,597,238,080,546,463,789,766,
941,189,516,051,474,025,453,639,270,492,425,580,314,488,708,928,974,454,576,
532,132,807,073,666,967,701,059,996,983,715,662,936,703,249,737,469,992,911,
749,081,309,216,144,690,495,625,374,626,340,933,753,833,282,594,351,408,613,
229,997,768,708,951,489,734,970,239,321,491,013,640,822,518,424,713,929,009,
537,360,918,359,237,821,524,982,813,282,286,485,254,168,003,049,477,964,154,
808,408,067,345,330,390,561,979,947,697,294,843,689,530,231,040,509,450,304,
799,515,935,910,608,795,419,281,076,559,753,225,563,449,871,625,339,060,402,
218,568,437,281,646,249,393,653,316,592,901,943,065,942,791,019,886,388,465,
301,920,808,905,050,720,770,567,718,181,357,304,167,934,405,071,469,571,885,
108,918,110,569,913,411,747,131,922,792,682,168,253,620,583,060,408,865,399,
142,161,408,197,132,320,603,939,186,636,716,571,432,491,365,147,351,362,273,
324,338,627,328,924,400,948,100,095,832,273,169,346,037,261,790,949,885,056,
511,908,720,138,547,251,463,669,724,587,218,051,741,019,667,158,706,908,769,
743,228,637,823,703,018,718,714,905,524,549,717,736,036,264,022,481,151,119,
759,888,896,821,560,439,433,660,967,001,641,200,325,036,239,475,721,832,631,
895,603,959,533,528,559,139,016,645,593,939,437,169,924,529,877,902,776,174,
240,952,180,225,108,208,845,025,242,764,903,578,096,495,512,007,705,991,579,
045,640,938,089,144,979,418,873,748,283,350,152,408,641,825,232,344,400,214,
938,306,961,803,506,812,505,937,737,126,592,848,316,557,581,234,804,074,180,
452,280,598,732,820,505,457,961,232,691,885,610,519,278,133,136,705,044,927,
236,562,595,853,474,141,980,527,641,591,540,335,078,400,437,834,950,722,966,
790,817,124,438,505,219,839,926,204,854,606,850,940,158,519,449,131,774,202,
581,067,784,370,227,255,064,068,109,078,328,654,577,901,885,110,657,884,002,
927,104,968,270,941,610,351,406,881,566,922,748,080,001,803,852,380,058,146,
209,899,568,826,435,947,363,657,661,087,256,966,624,585,493,795,927,587,885,
569,203,983,879,280,857,216,273,429,130,410,119,058,111,196,079,940,293,902,
508,332,354,824,435,761,392,016,153,186,715,631,256,331,335,674,914,351,073,
080,513,535,306,472,226,415,861,374,954,133,775,557,310,000,074,421,967,054,
568,638,680,720,958,490,342,487,345,872,357,868,247,635,422,743,451,871,503,
589,007,611,193,374,691,745,883,488,404,500,265,162,099,364,923,383,827,169,
348,757,512,569,997,979,142,230,647,201,618,113,308,798,200,081,300,840,726,
934,717,903,379,637,361,950,908,373,717,690,859,831,288,419,299,395,463,001,
081,991,954,246,681,764,039,326,453,672,005,975,608,297,578,226,435,682,654,
383,515,969,507,765,505,349,419,048,322,791,885,477,665,556,955,837,174,277,
533,705,356,972,189,379,984,825,236,072,068,173,092,124,168,953,139,407,629,
026,767,769,450,629,639,027,181,801,837,294,386,552,233,891,058,853,778,277,
344,941,273,577,237,263,257,032,992,506,577,898,289,754,629,050,190,652,999,
373,861,248,443,597,089,110,649,006,096,779,821,109,778,446,963,182,392,093,
068,474,223,566,411,031,992,157,128,603,362,505,912,089,925,055,909,845,910,
521,304,539,344,890,400,654,684,217,617,540,217,601,307,067,234,384,887,744,
175,961,147,716,519,924,657,447,882,538,311,489,141,854,278,558,326,667,755,
644,873,118,390,114,696,689,691,087,478,774,285,524,915,751,275,850,739,017,
719,584,756,655,126,479,275,132,428,994,671,208,569,844,493,751,352,615,566,
680,090,548,728,680,135,380,010,320,360,726,999,640,281,687,088,624,321,654,
308,648,056,921,604,817,834,989,988,716,743,268,380,685,268,244,870,930,571,
227,807,984,480,671,226,430,058,795,528,847,780,360,541,331,291,713,733,306,
313,208,119,355,671,016,143,074,434,133,955,303,571,926,429,336,116,896,349,
415,483,448,541,004,967,804,907,243,087,911,480,837,670,336,470,242,545,688,
323,348,132,908,113,167,082,075,167,486,474,229,469,925,406,966,769,814,720,
860,382,446,042,768,418,895,643,550,702,820,399,585,053,564,422,765,291,053,
935,493,523,126,523,269,635,601,089,659,888,053,366,820,132,435,090,344,158,
547,109,431,957,303,303,535,376,464,893,503,526,224,512,708,434,453,541,499,
793,528,920,125,468,867,208,884,528,381,696,275,181,938,559,637,840,665,669,
869,134,952,440,328,032,793,664,110,646,161,456,561,867,592,192,108,350,722,
071,719,896,771,329,281,186,145,356,196,338,724,624,218,277,706,552,675,730,
889,247,664,327,855,570,751,630,164,750,543,174,494,982,629,077,116,399,066,
616,624,273,804,279,726,001,497,570,655,152,244,854,097,686,344,403,840,544,
686,705,257,778,414,470,581,982,438,116,123,262,637,035,991,613,171,801,799,
136,798,526,230,193,464,890,190,521,783,151,628,957,860,284,273,748,073,865,
683,851,401,918,395,796,233,853,756,384,020,873,617,275,191,943,644,269,029,
187,787,415,087,470,582,690,148,306,148,880,249,992,671,528,810,697,976,125,
501,563,746,067,547,707,875,864,468,734,348,096,133,487,966,652,540,897,642,
404,409,316,568,023,838,950,217,462,905,660,713,400,548,099,484,682,236,573,
838,551,025,750,455,113,000,439,322,051,419,741,113,046,195,230,174,811,124,
081,848,642,581,006,593,873,646,089,708,699,142,293,109,033,744,539,269,947,
964,834,616,935,724,526,758,297,505,404,321,941,002,448,323,131,660,913,515,
260,741,073,348,134,539,739,612,395,676,484,223,630,831,769,572,987,867,303,
825,543,938,706,735,121,414,011,668,091,668,792,572,229,011,212,216,481,069,
207,286,117,016,165,448,272,043,493,965,503,709,216,219,436,525,927,746,244,
127,615,211,826,742,991,014,936,587,222,543,928,533,305,862,391,886,706,052,
559,460,987,042,791,828,139,780,043,112,772,003,130,349,776,437,651,631,932,
268,183,332,691,714,740,044,170,946,231,230,844,036,806,852,928,145,227,240,
642,813,558,604,766,154,665,173,491,806,210,231,711,831,728,093,477,375,873,
107,561,177,439,272,791,680,305,540,038,628,331,603,504,758,032,561,063,302,
849,580,393,419,422,936,421,075,133,162,749,539,730,497,409,458,998,391,313,
054,185,996,306,165,277,163,754,966,562,028,015,364,016,856,676,977,553,474,
665,146,664,557,150,292,273,806,068,162,815,061,973,710,051,725,613,588,292,
472,380,593,534,337,280,041,797,626,789,943,209,629,272,396,854,443,090,584,
754,375,662,058,297,162,434,804,801,819,219,886,509,193,693,153,117,467,257,
254,479,619,385,246,811,189,147,076,786,301,596,396,628,068,210,214,115,193,
083,418,481,234,088,324,004,790,386,181,845,170,757,851,564,367,834,189,527,
386,952,841,268,483,369,751,023,437,945,485,212,841,375,286,724,066,942,782,
013,426,067,306,518,723,595,217,227,283,168,735,600,704,176,122,656,342,986,
898,826,873,687,150,544,312,012,381,246,685,427,529,691,807,027,688,291,872,
197,443,354,859,913,391,680,060,097,700,076,587,842,727,013,642,913,164,367,
054,288,375,153,167,211,018,447,646,480,120,162,067,274,122,368,864,444,410,
927,857,644,364,315,605,183,288,346,516,394,018,796,819,114,444,029,329,057,
943,066,288,134,629,093,505,420,221,035,467,727,350,831,631,826,169,940,157,
353,693,151,292,988,220,050,579,501,560,199,299,766,914,322,229,983,575,764,
333,009,318,859,897,505,484,316,838,658,228,129,713,747,732,766,820,556,245,
739,573,064,457,559,530,390,089,999,419,693,952,603,593,734,622,904,481,652,
392,856,410,509,804,668,784,718,170,787,859,376,728,724,571,230,382,895,859,
127,402,954,863,717,052,961,727,823,362,214,618,180,705,793,489,014,869,920,
183,360,335,122,075,927,692,704,750,945,772,406,499,379,396,975,468,242,132,
674,451,622,057,936,030,015,077,161,482,361,483,028,124,120,944,410,181,671,
341,759,098,834,860,872,842,298,205,914,082,702,411,834,491,257,083,739,621,
289,490,917,073,155,070,247,333,152,806,679,170,079,916,411,117,829,916,128,
744,339,735,405,169,007,277,313,209,794,253,147,473,330,478,241,337,411,894,
191,509,557,334,547,033,744,064,994,707,234,669,713,460,449,961,146,395,395,
721,346,707,912,714,634,717,062,233,974,684,800,980,784,624,772,924,388,199,
910,998,929,800,192,524,455,489,046,683,731,456,773,532,022,512,724,013,067,
159,163,669,515,203,267,934,014,496,293,399,226,021,276,144,806,514,535,960,
036,201,147,157,686,193,836,698,739,033,621,571,935,897,802,386,068,846,477,
211,383,605,627,928,153,633,698,623,170,100,946,922,185,138,675,612,762,401,
082,219,879,112,847,860,194,770,180,595,089,947,586,143,655,867,338,468,378,
779,758,679,308,155,961,329,555,132,418,612,438,299,053,964,042,464,948,290,
382,848,385,120,262,042,866,170,734,115,897,113,605,760,745,622,599,177,991,
518,986,286,624,647,699,067,397,072,063,116,169,522,594,240,742,839,493,890,
064,089,095,686,351,912,955,851,022,792,745,893,439,498,633,018,567,396,296,
489,039,577,166,547,722,268,367,599,647,023,688,463,547,684,209,886,044,266,
227,729,280,830,109,662,401,623,257,261,461,126,583,848,370,868,101,699,586,
110,936,343,411,686,421,638,383,787,237,481,843,565,701,861,832,591,432,967,
923,792,932,438,169,939,838,192,529,059,315,101,485,932,803,958,190,807,750,
289,529,039,333,900,921,804,338,588,283,613,554,082,984,189,650,362,143,116,
626,830,260,056,656,927,617,504,296,322,181,217,821,792,160,013,615,028,805,
011,256,888,914,757,766,104,973,567,942,676,895,174,726,621,672,002,971,099,
241,159,796,653,188,188,945,701,733,781,889,682,808,721,780,870,340,710,154,
859,944,470,591,225,906,008,665,392,070,150,291,122,184,654,075,772,898,993,
850,017,466,207,052,375,703,034,008,502,547,045,827,509,260,844,427,548,627,
557,726,632,032,235,229,261,007,442,480,783,847,838,774,466,057,400,895,473,
090,855,991,888,780,973,339,728,721,425,150,240,969,240,217,322,039,743,591,
461,608,221,524,767,956,731,026,916,042,241,415,690,960,753,221,968,541,916,
251,536,380,402,968,168,428,368,904,183,332,997,655,855,505,435,421,428,179,
102,969,432,604,937,824,474,713,453,287,307,690,926,710,518,738,417,697,440,
637,749,529,071,375,891,535,121,076,067,109,704,333,604,519,321,120,922,092,
397,681,221,752,605,963,797,882,488,364,311,753,751,293,410,448,090,873,891,
707,356,549,017,704,219,518,967,664,522,623,823,949,734,339,934,327,360,365,
989,558,268,502,075,409,662,921,788,766,553,737,589,626,246,180,922,228,170,
998,946,926,268,472,185,046,249,824,689,901,494,069,522,596,164,297,471,260,
208,269,949,475,426,976,188,591,847,203,983,057,177,870,292,249,129,036,068,
420,042,833,088,585,387,351,627,407,688,086,341,691,916,774,124,980,754,792,
251,626,621,483,163,759,220,840,143,873,026,156,602,087,422,002,092,456,545,
672,029,769,986,357,612,376,630,145,021,008,614,564,343,993,155,792,573,351,
364,948,680,076,136,605,961,221,861,619,289,837,615,136,537,898,497,769,964,
454,167,281,382,677,288,352,912,912,261,585,567,705,697,894,727,605,089,567,
818,431,875,761,294,558,039,493,949,589,227,124,558,710,968,969,139,512,555,
122,563,790,085,220,240,935,666,081,819,332,499,904,975,319,777,786,215,990,
501,277,774,076,703,499,782,546,727,764,945,366,711,842,719,891,648,723,343,
716,295,567,846,781,651,903,323,551,313,624,306,373,388,090,465,985,752,629,
175,866,515,593,745,376,451,311,305,511,494,978,854,913,273,253,267,617,743,
172,129,310,704,908,444,296,146,481,433,535,069,219,757,426,394,507,380,897,
512,607,512,678,745,150,864,558,292,082,820,358,009,127,558,924,725,020,455,
620,884,710,818,061,176,376,358,100,256,952,236,117,369,913,972,651,689,900,
146,550,144,039,169,260,596,255,339,067,183,692,002,731,838,741,115,665,399,
563,003,699,088,558,383,752,818,192,513,643,169,782,760,903,987,441,760,329,
223,774,517,890,494,903,925,477,356,518,693,452,582,288,686,932,827,369,489,
138,151,512,635,883,474,903,504,465,437,249,404,078,486,025,765,235,055,985,
906,746,951,947,433,188,545,997,448,840,039,379,579,784,317,451,189,607,992,
246,850,877,624,104,748,133,622,171,206,588,764,168,505,773,358,635,585,318,
490,893,712,322,898,807,419,379,998,274,668,193,699,616,993,661,118,206,416,
841,477,023,385,317,449,326,926,387,579,386,291,924,139,439,641,672,169,018,
876,012,255,082,003,209,147,588,776,958,976,257,606,942,901,538,442,810,263,
962,232,632,652,224,228,988,751,467,998,598,374,479,809,521,354,830,747,072,
613,142,498,954,003,297,917,541,550,557,641,886,010,402,531,943,451,568,947,
429,920,657,834,974,348,109,717,094,138,494,637,925,073,449,789,495,137,333,
874,986,059,223,802,904,293,360,368,763,213,238,445,956,472,959,826,183,736,
900,375,622,984,347,030,866,035,321,045,253,357,067,882,065,701,168,590,183,
151,288,138,591,352,089,279,880,102,207,736,143,500,615,206,274,002,034,743,
758,003,235,494,631,381,945,423,936,318,900,688,143,559,785,948,235,526,316,
599,409,836,255,432,191,320,651,138,608,508,250,053,869,765,121,796,850,302,
634,506,778,384,008,932,137,906,915,153,835,676,784,365,465,049,718,156,706,
011,351,280,728,713,768,286,610,763,699,110,495,888,274,317,604,284,734,036,
233,460,679,354,965,817,773,614,963,868,162,192,064,019,320,194,685,556,308,
848,051,653,656,344,826,407,674,640,101,553,935,286,076,430,567,938,527,654,
717,879,346,449,646,485,581,543,376,745,167,353,393,804,845,684,907,237,425,
857,847,292,766,007,668,772,205,755,444,704,489,380,299,742,713,478,821,041,
200,542,957,213,670,951,290,840,576,400,341,978,186,062,714,156,462,847,669,
406,240,841,615,615,229,071,565,287,665,638,243,450,579,476,751,178,969,229,
710,194,215,557,449,016,932,468,496,554,350,930,584,657,213,724,790,722,374,
639,661,423,480,688,752,670,322,674,258,502,129,424,121,066,490,556,640,846,
354,409,826,829,893,243,689,841,351,280,368,684,945,449,661,820,610,723,871,
148,636,706,692,242,584,466,711,464,479,525,547,385,137,321,476,409,192,200,
270,884,015,617,597,923,346,944,639,507,627,043,772,719,675,814,121,310,596,
848,071,828,945,329,048,906,764,711,432,253,578,496,464,414,437,450,464,150,
393,555,193,187,089,843,306,010,876,573,013,879,573,201,679,746,528,650,623,
440,867,231,899,157,798,365,890,829,055,609,537,797,602,584,097,422,688,860,
486,270,723,020,206,356,782,863,183,806,447,653,320,267,767,697,140,035,292,
228,192,141,970,033,085,536,739,116,345,806,802,939,508,702,379,580,154,124,
896,227,379,401,060,429,733,681,883,501,615,189,614,364,328,104,619,366,737,
163,337,382,958,029,899,504,567,737,560,729,192,595,948,376,269,798,367,186,
755,224,361,673,606,127,932,633,439,243,471,175,711,050,892,239,780,254,513,
666,034,630,919,575,986,102,033,904,192,538,309,288,968,528,531,627,961,868,
016,967,113,604,617,566,959,895,069,236,555,331,048,275,080,784,387,323,145,
162,400,481,170,873,161,161,186,270,672,177,274,437,812,081,637,262,799,923,
164,880,844,879,121,216,262,478,782,156,192,144,854,433,287,867,476,892,696,
582,452,355,682,299,177,282,233,741,260,452,006,212,080,222,614,187,169,875,
200,995,154,544,599,065,188,020,200,069,986,907,081,578,170,103,416,474,548,
678,933,602,723,783,851,265,963,203,519,749,628,657,415,091,394,981,197,928,
235,198,754,071,324,242,191,788,089,072,428,083,917,245,299,325,488,125,431,
549,413,142,354,661,762,465,224,604,521,279,775,867,033,114,449,452,487,908,
461,632,589,145,257,740,088,625,991,104,961,684,815,447,684,615,293,383,665,
740,014,921,852,135,746,022,358,874,982,356,325,032,604,441,054,039,969,024,
971,020,956,061,493,961,422,722,483,854,229,109,896,026,815,162,677,492,846,
481,722,384,750,268,459,105,748,709,406,448,855,307,237,617,408,865,451,574,
182,665,233,289,200,803,561,045,218,259,052,465,615,902,809,061,113,142,540,
577,025,639,262,588,144,527,777,471,344,317,771,752,452,263,018,812,677,478,
247,688,053,884,308,762,196,619,967,177,274,238,504,255,910,501,998,205,717,
885,044,944,686,218,777,517,592,899,120,934,717,338,491,837,916,994,851,585,
598,647,507,287,744,018,880,017,887,565,056,230,048,573,995,049,391,019,276,
491,447,564,166,439,026,087,046,407,134,907,208,075,598,166,669,497,250,863,
652,219,058,219,696,614,781,510,216,594,965,156,797,961,469,965,732,983,704,
368,729,444,012,238,011,904,488,331,689,868,938,890,253,711,990,424,756,964,
082,210,480,075,834,833,641,088,069,473,487,130,604,698,802,790,386,102,556,
905,388,342,081,520,423,548,783,081,079,219,524,835,348,412,840,687,602,362,
636,385,112,544,123,377,698,862,065,006,701,223,188,587,764,343,721,430,487,
499,186,175,807,667,482,710,152,262,471,124,110,039,671,763,515,625,752,127,
922,981,928,409,082,515,604,257,004,241,877,128,888,167,184,932,908,269,339,
053,647,211,383,955,935,896,158,518,392,715,432,261,058,980,333,809,719,111,
776,021,860,942,891,854,794,302,077,313,915,519,325,925,923,707,512,398,989,
139,741,563,571,248,043,765,461,268,823,878,571,518,680,839,806,368,448,930,
978,092,159,042,837,007,776,125,759,785,248,793,360,879,051,650,079,812,310,
892,865,748,797,781,294,231,750,666,243,648,015,631,030,869,182,002,037,516,
399,544,755,619,176,301,641,088,182,689,189,909,084,999,742,436,944,793,874,
664,581,345,630,415,191,298,458,577,832,506,763,419,127,633,355,120,351,983,
987,942,756,119,688,289,309,764,892,746,865,150,796,054,571,720,580,309,322,
024,955,929,422,821,559,888,656,833,160,255,514,425,377,314,969,674,055,506,
121,319,329,560,248,684,469,441,984,210,204,480,096,687,244,616,477,049,941,
614,078,449,388,133,979,124,164,946,205,295,845,982,221,217,206,983,611,361,
418,691,788,321,854,999,705,147,317,199,638,160,853,232,446,396,233,732,287,
428,136,097,416,788,713,192,736,301,364,785,059,116,594,043,788,770,993,302,
234,159,130,044,158,904,291,474,830,842,581,344,009,880,864,452,086,557,937,
073,829,429,471,023,727,860,120,989,581,112,924,592,784,029,668,011,984,754,
643,786,072,775,037,769,921,466,092,331,938,415,124,669,990,657,690,661,354,
723,900,062,638,920,469,550,419,056,327,559,860,594,633,207,201,739,765,818,
090,107,195,465,105,703,192,546,314,967,937,086,142,886,779,092,816,970,032,
322,520,602,293,595,707,784,753,485,288,011,485,212,695,925,178,702,931,902,
662,547,813,596,532,880,756,302,827,546,953,947,087,295,215,640,293,752,621,
127,540,870,283,903,455,166,980,982,762,102,655,323,180,229,767,153,763,123,
562,898,598,820,547,394,080,578,934,355,871,867,822,206,585,848,482,908,334,
524,077,753,298,621,805,686,448,225,132,421,377,762,082,286,570,451,701,900,
482,326,076,971,823,797,996,104,643,508,907,590,721,382,427,616,544,700,838,
555,325,228,185,484,073,246,103,289,235,560,728,456,678,453,369,879,308,519,
539,523,872,231,963,559,946,418,153,709,244,127,544,226,397,038,390,395,283,
236,328,230,680,392,592,648,974,275,314,201,383,300,962,369,129,030,438,311,
186,913,414,000,899,969,151,693,275,160,380,242,461,578,908,176,954,370,202,
706,034,512,579,583,959,709,067,412,529,267,554,432,120,266,431,524,630,040,
120,739,961,241,601,469,388,791,456,586,729,366,234,711,394,279,639,585,909,
179,816,811,320,788,654,709,987,683,897,229,783,155,224,404,961,661,186,460,
651,558,529,977,719,721,168,761,339,870,996,989,279,834,475,916,016,155,062,
409,576,971,227,486,486,319,941,159,659,442,622,099,974,040,278,797,643,354,
707,866,505,504,383,482,420,651,032,950,132,085,981,388,158,051,552,677,378,
226,371,462,708,635,976,635,856,019,742,751,008,503,365,694,192,083,046,436,
902,480,592,581,812,850,914,615,703,791,489,929,254,236,390,358,229,438,456,
015,471,709,015,674,512,029,283,600,277,919,553,541,477,862,457,697,902,452,
256,847,896,760,223,243,897,548,022,625,585,293,309,786,647,217,753,247,548,
715,302,866,643,373,795,285,069,995,708,973,198,924,100,627,081,152,424,143,
645,860,965,989,167,421,682,827,069,713,865,795,168,554,896,945,805,486,260,
954,756,658,881,201,991,859,831,538,751,949,195,298,592,768,591,659,093,869,
296,952,161,483,816,061,860,434,964,697,596,333,474,040,084,929,184,355,650,
534,134,759,833,454,551,065,744,146,070,735,136,296,710,318,877,778,028,338,
334,531,642,130,663,570,733,965,649,157,727,324,427,103,719,527,099,309,670,
191,145,846,041,172,009,280,527,298,045,325,202,322,148,541,236,025,904,192,
581,311,717,961,332,532,981,656,174,845,820,754,654,704,839,554,205,704,548,
551,820,081,444,708,341,047,323,127,130,846,886,818,077,946,081,485,875,567,
775,880,924,288,600,802,439,327,915,983,859,683,095,353,277,429,079,501,912,
077,681,950,733,713,155,528,374,234,406,953,521,270,368,834,012,607,440,238,
635,574,140,387,894,558,017,955,809,816,735,920,630,899,857,694,830,860,187,
967,603,215,381,892,426,331,178,080,214,825,964,556,220,119,384,809,645,428,
169,278,303,669,990,910,163,007,940,851,450,907,377,712,496,936,216,215,753,
210,045,489,885,416,010,404,190,437,808,459,291,740,779,649,227,989,433,206,
325,893,047,185,772,355,558,753,735,975,382,627,611,586,097,455,117,610,009,
260,981,525,731,554,534,342,102,760,940,552,597,396,293,523,085,122,474,400,
549,726,393,567,219,665,368,218,775,449,541,975,085,943,243,932,926,022,352,
041,440,063,536,310,766,791,673,657,344,572,345,730,586,193,083,910,287,310,
322,919,018,070,882,752,150,186,618,867,106,726,120,295,783,735,898,634,775,
669,525,363,660,679,903,961,296,875,106,611,366,923,662,796,434,113,622,468,
933,981,691,335,644,116,532,128,521,623,669,291,862,885,284,563,609,389,095,
171,477,501,436,596,528,142,431,640,889,441,827,362,176,860,393,195,720,665,
840,820,745,798,161,007,291,026,339,254,052,931,714,493,081,299,241,070,235,
903,833,973,648,377,823,822,001,264,587,549,741,124,282,220,138,648,040,819,
416,163,505,763,924,737,322,150,350,696,277,655,913,297,397,890,262,180,059,
334,855,137,295,074,170,710,553,051,028,356,427,296,032,313,774,233,101,997,
885,550,888,960,173,904,962,795,993,279,575,180,352,032,837,673,029,085,614,
037,521,785,197,257,784,809,522,381,129,858,075,608,156,801,706,962,463,442,
347,453,295,095,023,599,858,202,205,773,248,037,638,381,725,479,518,622,412,
371,330,423,080,722,282,160,880,434,128,163,750,261,263,589,895,336,280,834,
340,111,959,444,324,990,604,252,388,459,205,679,601,052,959,961,213,275,089,
107,236,352,267,514,573,120,898,170,765,187,443,589,379,101,252,398,233,205,
922,493,974,935,437,035,446,314,019,562,261,653,187,237,684,415,230,614,428,
830,398,955,868,186,995,162,741,940,362,123,153,620,402,280,179,969,868,202,
621,486,199,380,637,251,629,009,205,032,805,910,106,334,810,789,819,467,019,
278,380,498,335,693,275,006,216,553,788,441,263,547,346,360,187,125,100,397,
273,052,441,820,333,221,300,703,374,716,565,011,419,531,156,761,338,068,790,
289,512,657,284,553,739,379,180,578,490,299,148,183,568,734,578,125,626,860,
616,297,004,311,281,933,354,199,595,173,071,637,908,119,912,560,061,492,248,
741,172,358,945,521,757,067,308,353,324,797,466,939,919,568,026,778,153,983,
894,840,842,547,827,310,858,587,479,323,887,481,632,357,458,546,884,105,112,
761,497,504,132,976,421,136,451,953,689,447,805,301,203,747,717,799,201,130,
088,520,437,791,177,615,165,105,216,120,062,501,324,376,444,383,431,347,065,
516,862,824,395,447,748,886,617,210,703,454,313,519,291,034,997,859,433,339,
160,677,654,362,225,410,193,969,654,364,240,422,350,392,059,963,586,522,566,
506,124,387,754,772,876,981,246,981,412,679,381,200,049,654,112,109,713,011,
278,543,596,692,046,144,796,724,851,696,808,812,981,452,575,118,194,760,258,
194,223,083,637,568,417,085,232,606,044,813,715,146,978,213,662,007,842,456,
162,329,976,907,257,133,442,275,128,284,903,310,154,878,415,221,645,234,214,
542,869,025,326,512,184,966,140,288,056,763,756,029,478,635,134,221,175,899,
536,242,341,436,303,911,613,018,541,140,247,063,531,398,825,915,541,637,339,
052,068,124,173,852,114,899,206,869,907,459,672,218,108,117,449,678,370,150,
824,330,908,838,489,547,564,052,946,616,795,164,117,194,034,333,628,293,518,
445,192,849,203,789,130,799,060,470,088,829,127,805,216,425,340,580,394,114,
903,863,998,001,844,590,796,202,428,988,715,312,306,388,017,271,835,289,301,
137,204,430,743,571,267,056,644,952,537,622,216,745,291,351,011,906,673,462,
708,840,827,879,529,659,630,491,744,122,462,890,414,643,337,600,597,782,173,
900,294,844,409,009,646,682,077,986,090,652,486,804,333,529,621,653,372,633,
446,925,898,826,015,120,796,748,593,734,792,661,441,435,472,645,315,414,133,
539,742,139,531,301,134,887,790,072,333,535,197,910,527,589,640,888,325,749,
821,002,226,608,641,220,224,813,674,761,862,412,208,119,804,103,004,229,534,
533,644,293,342,805,677,117,340,659,287,533,668,526,241,756,047,168,433,394,
676,321,680,057,311,547,992,320,169,693,273,407,300,068,686,760,798,590,479,
586,288,822,353,004,049,580,442,429,741,907,320,955,716,238,643,824,661,548,
503,358,998,553,003,853,572,770,461,983,263,707,440,591,554,934,126,294,681,
112,544,381,046,387,432,160,182,548,056,673,685,389,030,286,518,048,573,823,
537,019,712,947,534,094,341,420,584,045,164,814,197,298,711,525,348,068,118,
392,707,153,616,764,520,931,298,686,284,285,842,512,179,800,573,316,593,205,
644,880,310,456,492,563,680,981,794,074,199,421,411,037,946,161,150,663,869,
471,503,751,482,608,985,184,834,990,034,271,005,868,517,053,268,149,682,067,
172,044,085,669,011,549,690,781,528,636,939,581,721,300,880,612,994,461,971,
815,966,644,815,337,707,674,103,266,374,663,845,277,748,143,160,219,877,231,
389,365,166,340,169,692,257,466,154,633,832,384,398,654,724,753,382,805,603,
634,751,786,403,851,207,788,963,108,705,696,868,715,757,833,158,866,019,952,
230,075,782,779,377,110,218,165,267,611,685,008,177,373,699,762,042,347,289,
769,131,801,515,124,405,049,258,469,715,856,151,334,924,795,768,584,559,950,
739,907,073,881,095,816,946,493,402,531,037,726,616,752,732,409,071,689,584,
400,256,594,372,064,958,109,244,359,239,611,618,499,598,009,472,248,608,929,
704,866,919,935,827,764,431,970,888,960,759,873,623,507,337,890,513,848,412,
812,262,435,427,079,613,217,906,868,713,579,647,520,763,919,130,475,510,753,
961,608,625,926,284,761,038,176,604,931,800,493,149,378,874,113,802,176,669,
037,957,415,170,079,493,575,060,284,975,750,240,932,716,362,698,577,875,959,
465,558,324,272,203,254,296,105,221,626,627,718,442,370,681,197,954,489,039,
754,792,478,927,308,564,887,359,472,260,948,628,960,558,319,101,759,317,866,
867,802,934,018,811,013,573,576,406,456,609,352,166,416,966,371,166,151,763,
337,540,511,762,306,953,458,431,078,272,126,410,697,600,733,472,527,432,702,
766,481,659,263,005,878,926,270,863,068,691,928,698,011,342,296,488,812,318,
457,711,247,030,733,363,987,501,942,111,363,058,427,468,813,245,640,818,423,
273,287,769,370,948,763,384,945,030,950,258,048,121,488,710,271,343,606,819,
820,120,524,852,983,495,420,479,602,982,021,753,276,122,820,893,383,656,168,
598,436,834,280,011,258,253,428,559,416,447,394,535,657,446,342,027,571,913,
328,630,356,622,760,293,884,762,551,713,709,204,977,094,756,329,740,477,970,
871,692,038,864,224,563,210,760,559,134,916,408,359,978,003,943,498,597,990,
823,181,608,611,279,240,774,591,792,624,877,641,425,800,887,582,571,293,666,
920,793,650,675,464,426,621,980,125,316,543,645,790,728,583,524,246,067,211,
021,411,423,766,245,708,389,515,217,368,806,830,972,573,678,132,148,142,683,
553,007,836,550,208,235,148,580,569,299,504,240,819,301,936,609,963,040,628,
321,029,409,245,708,952,786,011,371,348,255,700,045,404,854,881,478,028,151,
588,440,841,984,061,084,104,519,799,006,018,227,084,883,389,822,780,189,796,
678,348,303,360,595,348,738,701,531,728,881,272,280,365,181,389,509,918,917,
582,355,760,935,403,464,665,171,692,700,907,700,291,487,273,868,478,633,029,
877,031,488,468,080,084,860,747,428,457,364,312,629,315,546,527,148,716,524,
207,215,393,786,606,259,475,541,883,647,957,030,090,542,923,635,593,515,495,
899,341,431,683,487,914,081,580,563,832,382,795,464,357,876,128,759,909,958,
423,055,243,499,415,028,042,199,803,873,196,882,890,127,830,213,015,372,869,
648,085,835,938,456,695,667,445,140,352,641,728,934,446,805,783,219,113,154,
874,700,784,430,559,379,232,578,784,589,789,169,246,547,299,981,070,558,545,
805,973,338,348,571,386,050,777,220,653,318,821,365,573,752,647,542,032,415,
916,751,200,341,055,311,814,027,779,955,161,654,670,026,619,060,094,148,007,
584,043,769,968,865,493,785,721,099,096,892,479,453,241,546,834,835,015,568,
855,465,089,123,587,443,981,364,098,946,363,706,556,334,052,705,683,225,296,
217,449,263,831,183,624,677,418,294,313,903,960,615,040,289,967,039,260,332,
490,582,499,357,363,922,938,366,963,850,042,444,194,323,649,256,561,436,793,
506,397,833,340,509,280,314,796,043,544,399,982,417,322,275,574,332,590,753,
551,308,658,723,419,210,373,682,035,828,430,312,775,108,619,040,175,271,298,
797,135,818,744,185,699,691,232,576,188,237,848,757,868,444,056,023,912,175,
372,962,201,050,459,663,571,989,927,413,957,018,753,066,992,088,522,300,252,
853,242,702,599,053,160,973,841,165,117,446,514,803,422,198,596,784,850,719,
325,560,165,379,986,843,417,869,670,459,352,971,659,013,624,543,686,657,019,
440,077,748,986,990,973,726,995,399,328,845,795,862,278,494,000,837,767,951,
985,413,353,263,523,843,853,042,218,294,077,972,289,771,260,392,715,102,112,
977,424,611,941,258,539,205,876,844,530,969,161,278,605,588,587,624,558,590,
744,908,899,831,300,394,482,684,527,258,179,053,687,804,669,528,891,317,896,
165,492,780,097,243,558,999,633,717,184,159,889,654,332,711,417,245,886,110,
361,424,162,923,286,394,120,684,914,755,585,376,492,007,104,277,522,137,085,
591,236,129,091,773,923,356,346,096,648,285,296,921,901,303,263,969,194,317,
563,562,618,673,809,046,545,644,146,257,024,982,667,182,265,309,905,082,260,
656,960,439,554,473,298,376,931,645,610,073,858,768,753,825,733,646,854,549,
598,583,993,932,269,167,392,273,874,514,790,075,655,675,483,940,229,088,957,
187,400,685,381,406,276,631,559,997,058,026,481,162,019,074,017,241,983,176,
184,891,564,293,782,413,077,508,474,939,128,961,927,788,856,211,908,940,562,
426,154,827,129,208,356,663,020,940,652,298,133,477,852,262,917,969,996,946,
655,543,733,381,854,800,146,021,432,963,415,125,317,818,916,818,610,601,377,
849,330,339,906,955,152,379,157,968,364,259,605,501,013,246,908,537,481,245,
511,501,127,219,486,880,808,662,501,882,607,562,289,813,900,861,674,355,402,
876,727,276,315,575,611,568,785,189,694,659,727,190,724,685,959,665,211,520,
812,977,549,761,124,972,170,344,174,260,050,309,711,719,444,147,347,852,734,
631,240,638,199,485,590,108,066,146,406,583,002,801,138,986,913,639,850,358,
209,641,001,643,382,767,020,200,634,740,669,903,619,222,829,635,562,956,781,
731,332,891,103,672,479,175,593,952,243,140,830,557,329,373,451,521,430,954,
651,148,108,284,266,010,002,929,542,030,183,982,283,737,597,935,825,690,283,
435,893,979,663,973,020,164,983,238,924,063,812,148,732,975,352,332,969,974,
283,869,543,572,307,208,757,789,626,687,282,343,697,024,736,156,388,393,284,
437,337,127,908,027,650,305,337,483,242,314,843,507,668,034,255,712,400,940,
632,911,261,000,755,477,740,082,118,758,253,691,209,342,364,988,242,019,914,
820,199,899,775,092,494,475,670,626,417,674,121,002,180,232,287,332,903,509,
914,234,509,229,083,023,350,090,101,641,273,893,419,475,095,631,894,821,819,
462,509,781,117,188,587,120,284,406,188,780,678,471,854,700,276,741,333,704,
889,785,518,783,578,239,363,349,799,757,736,801,876,634,447,176,872,601,118,
164,206,826,016,479,607,896,917,839,201,679,800,379,944,504,566,731,414,951,
083,247,720,970,627,026,109,524,614,621,123,915,304,638,655,887,201,451,242,
455,945,010,703,396,649,867,983,944,987,843,087,492,520,645,393,791,946,228,
407,783,424,629,721,685,333,608,578,238,851,460,730,029,443,304,763,418,777,
870,604,486,013,910,289,882,879,213,809,223,239,453,605,820,678,411,642,314,
392,512,676,872,186,334,368,169,503,035,426,562,226,584,054,604,056,322,616,
172,493,464,478,994,529,792,795,563,908,721,568,801,280,994,933,843,510,899,
456,160,991,480,333,960,411,676,482,781,100,783,681,413,675,819,531,534,190,
425,574,148,506,995,769,799,761,351,000,634,183,289,466,862,501,837,344,612,
512,225,777,717,783,226,351,577,709,053,285,703,745,728,311,346,062,157,542,
057,042,952,237,708,382,104,925,810,047,815,476,801,078,623,568,165,718,422,
178,742,107,541,312,729,128,617,441,739,990,732,961,889,579,440,073,416,627,
856,970,645,727,412,910,715,191,762,825,675,096,797,100,462,280,957,143,100,
767,493,442,475,615,725,020,202,753,994,690,865,901,985,150,667,488,179,283,
495,174,501,725,923,985,736,843,935,582,388,782,511,812,749,749,129,384,909,
739,956,760,006,940,284,291,527,347,626,141,229,114,004,145,263,315,775,136,
587,525,717,253,286,403,070,238,181,128,839,357,577,478,650,685,904,434,395,
700,679,782,984,285,096,022,210,456,505,340,175,555,765,481,399,023,781,549,
522,418,598,404,226,308,647,889,412,666,541,661,501,125,515,139,510,046,610,
444,107,603,489,973,856,090,676,053,345,830,071,657,864,155,415,703,811,093,
763,883,398,581,521,180,145,338,144,865,747,860,407,696,015,579,224,167,820,
361,024,890,603,923,608,376,896,053,039,542,102,006,826,601,621,279,241,983,
654,029,183,400,711,277,312,919,219,349,112,606,155,436,673,819,420,030,511,
700,502,053,509,013,864,337,376,155,627,451,296,842,014,567,435,741,039,268,
758,130,637,996,156,176,192,758,706,966,892,830,216,802,155,639,963,552,759,
820,720,337,263,549,822,376,930,446,332,439,081,814,912,102,063,737,473,065,
251,848,676,709,313,220,670,946,730,704,829,630,505,381,290,010,532,753,101,
061,455,923,935,747,722,820,073,779,992,489,215,664,742,985,374,289,224,329,
133,067,819,869,624,987,046,437,401,421,169,492,580,559,682,488,442,165,926,
721,090,412,647,482,012,920,504,891,656,581,584,842,061,975,528,373,354,261,
390,333,182,936,478,726,708,956,902,741,693,456,057,748,513,290,093,109,990,
766,077,939,111,139,970,228,882,312,859,806,240,076,765,659,059,532,853,215,
960,144,422,876,156,850,898,991,556,225,495,652,268,039,229,480,930,798,525,
434,276,593,852,177,429,011,680,980,460,147,681,349,038,326,858,439,552,482,
680,396,826,426,133,958,512,990,543,574,104,611,416,240,706,882,342,181,276,
045,919,544,143,118,919,029,862,995,170,818,359,192,486,251,744,907,764,252,
516,895,736,689,032,451,627,271,536,097,002,611,973,937,840,626,536,269,000,
650,476,869,461,327,375,498,022,354,127,192,563,457,251,853,593,135,473,227,
646,009,273,558,753,271,482,318,738,603,940,728,204,044,006,824,575,771,037,
649,147,391,857,665,345,182,462,716,063,757,803,640,963,576,838,825,748,779,
582,178,855,915,584,509,690,342,323,740,415,890,602,610,371,030,421,949,591,
810,961,798,762,142,992,623,245,706,073,414,450,032,710,547,462,797,494,138,
284,513,698,792,835,337,833,201,478,047,364,736,824,296,782,461,058,654,369,
922,257,121,572,733,886,147,245,784,277,132,107,645,595,518,901,718,714,708,
293,058,760,735,180,187,355,758,754,685,903,705,550,836,900,907,033,895,415,
071,976,774,064,977,448,352,343,277,729,666,778,685,504,837,804,127,213,757,
151,599,609,107,970,546,592,133,640,937,550,091,578,278,519,159,929,405,072,
168,277,476,619,075,807,252,954,157,154,019,858,449,709,821,992,427,786,977,
645,091,890,548,249,553,327,899,920,653,867,518,276,455,673,758,429,952,250,
865,444,158,639,021,411,074,503,041,800,421,241,084,691,339,972,381,554,851,
795,936,144,702,152,060,062,877,607,507,427,063,579,270,329,500,471,776,942,
756,792,023,785,619,992,678,280,316,933,562,391,967,621,980,193,732,632,995,
230,882,365,188,404,928,961,303,819,619,550,443,310,642,326,293,941,914,067,
592,660,554,400,674,762,180,739,805,832,593,893,763,633,867,412,007,121,780,
419,471,348,165,601,017,568,492,484,319,934,268,743,037,020,180,991,402,594,
299,258,085,972,048,541,183,115,829,110,039,150,973,533,067,595,602,199,969,
375,232,305,917,580,872,467,933,541,317,145,852,181,381,002,339,681,347,406,
698,347,277,211,588,468,583,055,133,519,881,054,288,347,898,371,905,579,094,
085,117,814,373,495,847,017,581,364,479,447,026,772,494,977,030,349,314,876,
445,183,619,065,013,241,643,516,270,502,588,122,074,660,911,090,281,195,054,
811,535,510,314,784,222,097,572,330,906,658,121,508,213,110,143,160,616,467,
731,845,898,317,855,901,810,977,472,125,301,487,639,315,218,147,535,347,100,
738,104,012,595,286,928,170,248,570,129,894,664,847,894,588,522,884,193,908,
629,181,013,989,929,910,447,487,424,027,257,573,483,384,279,233,593,533,508,
832,988,147,928,809,235,322,988,440,530,239,128,529,975,143,738,458,650,926,
984,607,290,027,406,071,197,120,121,942,948,255,170,705,906,502,945,031,924,
011,626,851,142,222,778,669,938,451,572,930,292,663,402,369,227,771,128,587,
198,833,604,149,785,630,103,056,504,823,038,000,624,825,474,080,672,199,299,
344,293,504,021,274,192,777,953,292,772,344,991,012,719,521,713,527,743,264,
476,671,450,899,040,500,572,143,397,720,546,936,142,181,559,139,160,881,759,
729,364,214,092,775,694,697,105,675,987,938,882,334,704,132,291,949,689,851,
229,935,265,971,404,779,751,298,913,637,119,222,696,406,987,110,086,839,784,
533,946,178,192,497,627,052,251,078,951,914,884,622,460,360,122,052,838,903,
749,267,393,378,444,464,026,845,974,486,897,604,363,434,169,431,547,459,608,
473,911,331,698,403,799,428,053,215,223,942,280,332,277,009,781,643,667,400,
777,537,346,347,290,730,459,549,663,128,877,698,703,405,752,253,513,115,646,
153,931,214,565,410,331,032,102,703,067,452,017,684,641,418,626,456,932,591,
589,167,330,355,959,827,633,468,697,026,270,478,590,063,894,384,170,294,155,
785,776,719,238,531,823,063,879,456,534,871,626,856,455,750,193,666,132,723,
893,895,852,861,787,562,659,020,944,791,906,236,846,639,593,627,479,539,246,
729,553,376,697,200,725,028,900,477,643,776,095,379,733,407,251,305,584,038,
465,886,640,094,893,972,212,015,745,626,348,122,541,535,947,972,787,888,528,
640,584,858,290,934,379,386,817,692,790,216,242,654,746,891,641,938,639,283,
607,088,603,905,700,570,297,062,178,292,900,208,211,238,039,869,904,562,188,
756,668,271,383,810,697,614,522,274,397,753,681,715,701,470,030,812,256,965,
350,383,084,633,226,565,457,024,331,879,728,233,962,714,717,660,466,743,933,
077,843,071,277,908,005,545,747,924,140,937,817,603,362,536,349,205,389,058,
433,286,817,092,777,255,468,779,580,203,862,684,660,879,575,074,321,114,196,
661,490,706,444,607,136,670,086,672,539,925,922,159,735,563,222,877,047,535,
852,693,557,628,617,986,816,756,627,953,418,601,084,781,086,444,619,867,812,
674,231,564,576,604,997,748,107,048,326,226,379,837,917,386,049,343,714,768,
301,504,132,700,301,999,048,125,646,668,034,251,305,435,319,941,592,138,164,
837,401,308,584,614,469,257,127,927,349,533,993,286,745,212,376,205,375,851,
119,362,119,301,982,869,626,292,500,826,314,966,199,154,272,241,185,549,244,
953,987,051,410,710,350,827,907,768,718,378,534,277,703,398,171,656,693,399,
678,560,313,091,289,782,177,278,895,927,235,830,471,628,687,342,464,496,120,
776,578,047,968,258,710,663,318,561,907,443,339,760,074,895,060,331,803,008,
122,928,527,935,102,982,034,761,866,417,076,762,740,284,792,471,253,158,030,
135,698,868,187,259,347,244,488,294,431,751,045,505,342,389,548,859,506,484,
737,350,936,903,367,267,676,321,891,376,035,017,190,257,683,087,132,441,444,
312,542,022,570,884,421,950,392,715,676,680,744,689,067,368,444,682,232,058,
948,210,219,431,788,044,191,557,400,908,473,951,119,075,084,279,955,577,759,
391,595,444,392,671,936,791,288,847,985,085,123,598,122,460,642,963,686,935,
814,480,754,519,145,063,603,642,256,975,887,944,278,620,412,325,283,780,236,
203,044,231,142,714,844,453,635,890,464,689,139,701,615,204,415,736,980,954,
287,864,808,984,758,227,315,582,655,301,041,095,373,596,555,302,979,280,711,
345,574,154,423,030,011,265,721,020,427,296,507,323,337,661,632,093,095,533,
472,766,349,225,353,214,651,175,406,395,355,887,499,661,715,055,007,460,400,
644,149,156,885,211,466,709,781,194,819,444,598,233,399,659,246,052,614,649,
467,502,884,743,826,738,167,333,006,475,041,191,509,735,150,803,592,302,417,
854,567,896,958,844,121,647,394,330,426,772,645,429,672,812,459,077,819,419,
000,992,561,625,798,331,516,511,694,555,789,452,308,874,761,042,531,940,806,
954,351,244,385,399,995,125,597,577,020,476,912,916,950,716,853,767,917,749,
184,754,885,335,207,336,052,510,112,299,552,142,362,985,810,382,368,590,862,
401,805,981,636,736,958,942,979,826,674,344,308,900,688,800,303,094,224,756,
893,377,094,097,735,293,887,044,222,056,934,537,096,818,186,522,949,974,786,
302,179,739,709,113,849,417,246,310,905,045,599,881,130,219,350,299,396,293,
038,364,111,823,208,567,855,796,293,879,883,600,708,003,593,259,614,830,557,
796,835,396,428,873,068,089,667,259,172,634,208,382,575,366,968,325,562,192,
234,442,458,608,544,987,407,937,334,626,927,160,998,448,723,406,703,910,979,
168,777,565,965,521,155,664,919,744,426,937,267,563,700,658,027,798,302,187,
429,729,507,414,669,507,612,066,253,214,476,897,186,296,645,443,083,936,991,
950,457,457,934,267,445,799,230,426,444,825,602,400,916,767,802,689,357,188,
450,044,571,964,132,374,955,476,076,875,997,645,567,932,857,670,925,900,748,
987,098,883,366,730,272,325,635,279,865,389,513,700,166,906,611,092,048,533,
694,149,646,853,720,558,243,971,874,662,936,592,375,863,381,710,048,226,934,
682,996,114,388,965,772,110,155,913,377,955,156,474,770,428,060,286,128,751,
990,082,203,339,534,921,764,464,457,511,186,803,030,262,014,139,201,951,134,
902,414,911,242,648,032,477,650,525,347,810,283,346,285,279,381,017,456,914,
490,058,721,028,491,695,293,852,267,761,780,618,068,960,898,496,380,552,354,
058,972,117,924,390,103,485,531,049,082,322,503,208,098,270,750,021,487,637,
740,171,535,783,764,980,826,846,277,605,157,092,502,351,194,667,457,519,804,
230,361,369,269,158,381,189,829,144,289,538,728,329,612,686,167,112,869,395,
751,929,557,021,957,923,971,426,746,901,373,248,252,891,446,072,380,197,614,
071,566,485,249,098,862,581,489,223,030,843,222,988,055,469,927,655,880,696,
781,968,297,959,159,744,025,046,727,383,420,925,050,572,367,422,447,533,156,
316,829,567,474,162,362,705,969,076,232,677,925,942,154,615,956,310,117,678,
446,158,365,305,867,199,827,173,173,099,379,279,943,169,119,825,597,560,369,
543,776,630,913,926,978,942,340,143,331,664,816,225,560,436,810,074,843,151,
929,364,561,042,410,930,130,016,505,653,239,679,089,768,211,888,842,206,664,
542,561,312,746,988,664,204,408,489,071,126,963,820,604,019,752,174,971,402,
422,238,176,211,903,176,449,084,631,374,945,454,665,413,534,188,610,749,445,
494,206,678,100,881,370,952,950,994,229,571,090,488,182,482,783,097,272,947,
819,569,831,725,837,225,442,361,336,563,947,169,352,976,934,659,319,261,725,
543,334,748,379,628,999,678,522,414,817,782,828,889,908,104,378,748,796,518,
890,833,819,063,428,859,699,079,824,120,051,422,348,248,579,191,013,232,638,
845,402,902,538,960,748,464,716,850,051,259,289,560,217,358,907,385,263,921,
457,295,213,086,806,116,463,505,049,522,976,056,121,864,033,254,211,832,418,
324,727,921,183,833,257,518,538,886,136,219,014,003,719,209,641,799,465,005,
571,431,088,292,160,124,532,306,851,039,232,642,845,890,774,514,586,094,961,
574,029,520,001,297,572,603,695,015,706,266,293,326,174,907,647,583,577,159,
542,137,491,012,331,230,646,833,722,482,893,475,117,170,783,267,201,314,978,
027,201,310,105,963,202,052,848,539,013,732,805,851,665,605,698,587,084,012,
511,039,885,317,274,576,205,921,169,790,519,818,089,156,675,489,982,301,723,
218,255,940,752,062,539,652,774,957,819,699,062,346,908,642,415,701,513,943,
604,882,529,438,361,872,842,019,209,323,281,146,897,132,311,721,597,574,175,
961,455,617,873,176,033,572,989,523,399,534,379,878,592,844,011,571,705,673,
384,409,971,830,504,190,937,023,293,328,918,816,324,954,527,837,120,535,005,
296,993,594,160,287,258,351,630,048,257,677,814,957,684,245,549,911,875,510,
536,800,329,292,208,550,277,101,649,194,010,836,574,111,125,885,149,363,420,
060,141,692,012,082,640,936,179,617,056,927,105,885,424,461,942,310,468,426,
107,664,590,537,420,285,995,589,882,117,145,511,453,310,838,265,212,432,234,
467,049,774,498,799,756,235,543,450,342,848,292,234,089,702,531,026,935,904,
334,359,335,963,044,177,473,965,364,840,248,085,203,294,186,661,498,648,323,
144,391,819,268,670,228,871,007,157,165,813,147,594,231,452,294,662,603,161,
129,467,213,521,856,120,662,630,650,218,230,319,079,126,669,216,327,850,286,
071,317,409,302,843,846,961,539,782,186,273,746,124,084,115,613,408,729,834,
051,533,306,493,289,624,929,786,886,829,712,295,019,262,218,602,214,173,280,
833,778,646,959,950,106,529,022,231,840,001,154,451,105,981,985,627,202,715,
423,145,927,344,330,867,224,027,706,628,768,073,139,201,895,347,273,831,426,
729,806,882,166,200,687,611,748,854,069,961,957,666,813,012,544,123,956,545,
706,088,850,493,362,470,309,461,046,214,589,748,324,824,198,352,949,380,461,
710,907,092,710,988,154,906,490,627,927,969,309,190,584,174,713,897,812,511,
560,268,179,247,782,512,368,111,479,288,682,147,988,058,359,161,866,500,160,
587,433,796,737,148,140,734,109,183,772,483,431,316,478,376,457,349,531,992,
005,802,893,390,792,895,461,084,414,289,977,423,687,865,646,455,107,887,586,
825,268,260,520,656,852,938,426,786,840,780,269,515,191,573,550,727,587,003,
051,959,940,633,353,301,974,376,362,692,507,601,349,422,640,575,188,352,218,
691,639,689,649,079,957,008,321,392,847,240,164,582,388,126,788,719,571,097,
459,860,731,105,760,879,586,750,666,808,996,363,050,108,830,103,553,053,919,
077,406,105,357,843,401,756,960,737,870,955,032,719,782,989,882,612,838,040,
994,663,929,882,412,660,974,436,409,733,743,005,990,134,955,233,309,520,925,
871,673,035,805,959,711,592,170,538,024,242,890,763,066,269,583,091,039,365,
891,811,499,638,013,651,437,914,450,255,758,496,382,370,306,867,102,219,310,
718,972,264,406,612,950,680,662,817,383,299,124,300,788,311,074,912,287,354,
347,276,147,514,655,619,013,456,305,068,379,696,131,431,683,389,257,465,978,
348,492,747,952,837,435,162,451,186,388,874,926,619,262,532,641,800,456,742,
798,746,440,125,967,632,823,269,489,584,579,878,055,533,039,436,717,594,866,
317,258,287,949,609,886,461,380,189,231,286,308,629,959,923,880,712,561,691,
593,749,280,042,281,291,522,221,077,043,284,915,958,088,867,008,331,777,060,
028,734,761,248,011,584,567,494,909,115,979,165,763,646,779,148,312,930,212,
012,180,639,656,722,250,142,896,107,812,933,776,761,386,387,324,786,751,106,
812,972,865,914,579,419,050,154,090,397,665,317,472,160,489,768,210,835,888,
176,932,129,058,093,512,218,913,438,201,314,500,941,080,768,721,934,495,288,
091,781,156,281,911,914,669,856,747,867,208,591,874,724,129,984,740,550,494,
832,859,176,148,173,187,895,012,176,423,962,100,021,785,425,603,528,934,297,
075,531,396,023,024,024,382,720,540,905,380,989,846,888,378,106,568,097,730,
618,379,593,577,261,749,764,041,990,990,109,278,048,240,095,939,037,000,618,
973,659,754,352,120,629,590,177,887,972,187,650,336,020,652,468,490,273,457,
510,663,070,697,576,922,603,774,144,393,130,950,883,780,742,180,795,656,458,
521,316,557,280,125,258,577,841,304,779,678,488,554,586,965,373,999,601,325,
372,616,912,211,586,043,835,385,031,698,976,352,148,618,743,081,400,196,783,
660,096,466,683,817,408,787,771,103,265,903,649,579,164,146,584,319,162,025,
292,580,183,578,786,478,959,020,880,071,339,917,225,533,382,784,798,157,487,
494,800,952,478,079,714,813,729,808,469,810,391,775,640,944,410,803,216,012,
533,743,069,954,352,019,036,405,792,460,591,568,694,161,853,665,352,390,795,
910,110,455,313,124,721,801,628,481,682,465,616,182,108,760,576,228,172,978,
004,763,244,861,407,776,133,268,451,204,354,480,952,297,126,272,133,631,858,
748,377,677,444,243,450,606,309,309,338,781,229,335,925,701,965,557,818,983,
693,076,691,224,108,625,164,263,198,443,195,992,107,509,964,589,327,363,021,
030,052,897,521,841,260,250,869,537,152,199,843,933,419,742,090,125,953,933,
828,489,120,254,168,263,385,090,041,557,993,917,196,208,791,273,918,066,791,
930,613,773,176,755,641,333,339,224,527,873,017,330,640,414,166,340,298,690,
479,733,089,442,226,094,449,915,582,291,330,409,829,592,944,552,324,895,160,
846,235,457,038,031,538,193,750,077,815,245,629,159,966,168,686,559,812,427,
920,576,361,750,833,415,974,945,937,420,884,652,258,512,746,806,060,758,010,
592,194,390,626,315,495,876,924,631,522,487,462,677,533,734,499,189,992,795,
380,472,525,626,626,440,681,635,457,820,945,758,868,010,002,038,136,620,116,
081,344,296,845,535,292,261,936,049,975,710,015,678,604,364,236,394,217,132,
963,854,615,644,417,707,972,362,765,153,528,459,527,563,070,243,518,684,541,
710,520,472,636,773,989,722,038,106,219,904,714,692,187,276,039,519,334,035,
655,591,375,246,072,802,862,216,828,760,718,375,529,698,516,527,984,383,220,
788,226,586,711,768,510,621,162,604,827,367,731,094,193,924,763,980,515,626,
511,852,977,601,746,232,720,359,413,178,069,287,139,936,547,328,919,853,721,
012,333,094,170,465,163,449,236,112,568,255,300,747,399,298,249,062,446,843,
248,242,667,648,773,867,562,818,903,309,549,109,273,061,408,408,427,516,385,
543,788,660,232,501,751,342,104,520,397,724,412,689,070,184,521,045,921,565,
237,638,445,183,148,317,095,630,204,278,299,763,687,875,781,805,576,415,269,
610,108,201,810,572,893,526,648,049,002,996,106,099,577,607,232,044,398,052,
389,183,988,469,788,163,436,145,844,490,553,581,013,322,327,301,883,547,506,
216,628,145,816,883,840,214,629,392,202,971,988,396,546,993,292,784,321,841,
578,533,725,476,783,707,895,321,750,292,910,957,198,760,972,110,042,538,215,
452,615,882,373,367,110,455,734,510,040,224,091,264,763,368,979,897,680,413,
461,952,575,889,963,010,840,362,027,395,452,161,093,815,930,146,587,128,389,
851,536,551,589,809,153,621,279,826,158,022,081,687,906,057,551,057,546,633,
810,216,235,052,206,585,765,546,637,984,145,380,946,850,245,204,356,859,542,
055,979,302,061,959,981,330,413,846,137,805,610,526,383,840,763,678,603,922,
842,326,677,425,938,935,488,261,091,891,038,864,526,329,152,727,304,071,134,
961,696,730,763,250,643,937,980,821,377,966,653,571,733,844,857,181,321,075,
086,013,301,614,537,222,931,475,383,343,514,661,657,106,710,296,016,406,213,
367,561,640,493,597,077,347,867,967,998,198,878,065,267,464,273,801,869,656,
099,866,746,479,799,070,463,544,727,173,608,438,628,347,176,566,181,512,287,
598,708,620,544,671,091,124,479,881,126,095,309,677,935,018,562,292,399,053,
788,794,550,605,230,698,073,564,086,798,208,937,109,412,781,856,948,295,191,
065,205,660,327,062,642,942,842,326,958,244,205,822,750,369,964,815,326,918,
640,294,162,708,616,279,497,309,745,503,239,899,522,700,833,438,001,707,694,
218,228,416,209,309,378,238,520,911,466,436,138,969,460,013,053,061,164,097,
441,698,273,689,660,598,131,417,619,437,569,575,232,144,475,944,136,074,547,
733,023,922,183,413,056,728,990,351,591,066,927,479,171,319,041,932,583,567,
919,126,297,953,499,222,123,398,462,354,554,809,632,178,063,960,846,641,031,
945,301,786,967,444,750,975,521,267,051,346,065,363,654,888,107,920,385,818,
461,615,872,732,094,464,962,383,004,856,135,103,336,031,468,169,265,608,011,
447,236,959,427,642,346,606,028,282,680,764,382,995,792,469,523,134,649,768,
033,469,174,404,025,285,190,839,352,089,468,168,563,242,253,545,536,533,423,
779,891,470,748,120,699,528,254,056,730,598,381,672,077,710,500,291,625,950,
475,156,789,430,200,324,516,640,106,208,553,211,041,888,661,229,501,616,481,
193,673,345,212,930,780,642,641,768,420,650,271,842,077,543,132,300,756,604,
443,281,724,775,712,060,859,431,524,494,029,265,284,503,403,350,354,829,155,
192,105,460,566,797,753,327,063,753,513,384,343,757,432,957,221,945,673,058,
818,593,127,905,704,677,731,013,289,797,767,625,369,788,641,959,369,968,956,
151,488,275,735,246,608,147,780,581,696,312,213,651,428,512,282,312,730,951,
376,859,871,877,405,129,789,394,484,263,786,541,331,796,781,592,780,215,072,
537,374,981,587,849,125,992,202,367,181,005,547,506,012,873,929,367,755,924,
654,478,270,855,628,340,564,593,344,864,009,629,857,079,513,601,690,992,137,
890,753,328,087,755,624,869,376,723,203,882,665,373,487,383,493,773,872,198,
302,693,974,640,660,253,282,378,292,496,499,469,913,958,485,019,748,232,681,
500,231,831,697,035,284,927,069,169,354,236,454,270,184,799,417,448,828,837,
410,447,999,469,785,207,515,241,229,094,084,064,333,126,052,509,120,669,323,
732,043,318,407,126,790,494,411,941,714,494,797,638,531,112,042,328,187,150,
444,814,153,385,183,018,259,280,320,037,454,899,891,005,448,218,624,229,035,
762,777,047,082,068,372,585,688,402,383,098,005,041,036,911,489,976,144,318,
989,004,634,002,635,123,569,909,014,400,472,164,599,689,579,146,684,529,841,
224,960,225,333,273,126,400,019,677,902,078,414,923,306,852,814,343,667,406,
045,560,104,976,398,513,798,141,486,940,234,747,871,889,246,500,854,330,174,
551,936,735,468,748,858,942,972,238,474,367,435,618,029,633,329,872,634,482,
545,015,250,890,034,113,848,837,087,951,129,069,801,820,181,483,618,699,779,
860,620,818,428,646,254,318,458,218,483,369,373,244,661,907,032,038,858,893,
565,146,185,168,718,416,124,169,511,078,492,713,901,469,178,145,525,011,542,
011,454,085,401,901,846,113,447,803,958,635,339,391,068,504,082,075,273,844,
459,787,405,637,664,320,906,876,765,480,589,066,010,767,418,920,553,405,766,
231,906,278,307,588,142,403,335,338,290,064,487,675,577,806,603,583,396,627,
840,861,444,822,330,314,753,648,208,879,223,791,920,955,817,509,565,060,598,
471,417,047,583,011,849,392,435,363,655,200,145,671,500,387,188,663,107,432,
994,159,487,116,487,752,637,336,208,330,431,598,792,941,196,933,143,395,877,
451,362,021,067,834,924,470,676,800,819,242,495,153,839,886,179,181,344,451,
695,067,403,795,789,085,933,507,967,825,557,918,381,548,426,988,431,273,573,
016,207,231,698,371,961,018,374,166,126,739,591,702,635,713,139,257,060,256,
380,304,519,636,616,859,418,281,226,168,226,631,236,996,967,002,743,262,534,
577,374,880,060,108,989,089,185,692,069,676,296,527,230,609,166,995,250,571,
140,375,631,927,254,872,078,474,799,622,765,776,449,273,863,768,739,225,724,
524,944,301,506,267,309,766,980,035,237,300,724,015,210,861,067,688,967,153,
005,373,910,412,403,082,621,121,601,522,888,182,607,448,618,346,644,169,771,
677,367,790,079,787,872,126,428,043,254,255,511,714,777,794,412,667,636,099,
786,774,193,077,718,962,083,610,386,958,986,584,307,788,164,867,899,160,186,
249,075,598,320,630,271,468,243,317,303,402,809,862,594,472,663,903,082,338,
856,638,033,188,037,736,689,333,478,509,330,989,302,406,931,242,376,095,131,
520,099,326,259,873,476,573,107,502,186,752,507,385,942,428,711,985,364,237,
047,318,725,354,152,849,012,174,794,377,883,995,160,238,434,646,090,602,171,
386,022,362,699,800,002,650,914,770,068,241,269,307,696,316,061,230,793,045,
493,034,338,583,263,333,461,875,297,250,948,254,517,212,189,181,192,488,656,
488,509,055,268,912,629,790,556,735,349,478,292,522,388,589,503,399,420,990,
804,475,535,159,807,183,773,308,403,127,891,671,888,606,777,459,969,069,069,
550,988,204,478,652,322,953,165,054,363,784,355,657,184,959,129,524,969,159,
736,729,676,554,643,957,498,020,542,569,343,711,933,118,411,319,338,258,624,
046,628,961,029,680,428,731,121,640,260,124,678,283,700,631,644,408,497,809,
246,461,179,173,491,352,185,698,417,460,918,574,648,777,549,573,774,664,563,
971,132,351,676,043,461,751,063,079,954,315,322,224,368,062,587,823,942,860,
000,765,754,669,251,590,698,445,494,199,525,629,124,791,633,338,805,901,369,
877,244,251,151,500,311,669,647,122,846,741,181,044,162,022,500,770,146,456,
450,765,944,137,815,134,991,796,485,671,338,298,403,237,078,857,755,356,486,
848,423,722,046,087,996,709,334,960,813,755,174,064,816,412,262,171,552,293,
561,343,026,683,258,179,068,606,721,592,641,316,535,167,499,631,968,656,738,
163,829,748,976,916,760,397,380,701,939,108,497,237,262,857,291,930,605,342,
973,400,298,677,141,272,514,384,963,676,411,096,855,419,735,992,987,049,173,
416,542,681,911,869,462,728,404,479,444,421,640,409,410,133,745,506,147,086,
149,523,102,660,350,419,402,459,097,279,779,951,323,304,266,784,103,679,083,
195,405,143,164,442,214,445,344,334,894,496,112,019,525,959,544,052,849,553,
344,235,632,602,195,852,523,160,022,795,405,545,856,621,449,741,875,789,279,
401,301,772,789,398,930,977,207,802,100,320,426,102,673,103,310,513,096,240,
211,020,737,640,562,136,394,015,075,463,187,813,331,634,231,593,482,020,913,
316,716,951,828,480,608,680,330,123,283,452,867,240,882,628,500,069,894,809,
508,584,715,921,465,862,647,721,094,474,665,758,554,461,179,859,682,224,804,
722,392,545,793,248,028,384,669,623,250,684,577,243,286,456,316,757,402,360,
505,576,905,707,922,531,078,223,154,656,945,311,502,161,869,681,259,695,264,
916,463,962,646,161,107,196,352,398,062,430,261,579,123,371,397,793,259,185,
962,605,500,950,506,408,311,282,806,117,752,529,289,529,129,880,246,342,361,
190,947,454,671,334,866,046,869,884,561,260,805,772,154,964,039,826,369,839,
404,341,297,885,017,787,380,127,005,126,676,861,116,210,459,322,777,068,572,
288,561,042,683,435,957,293,284,995,504,127,611,645,312,822,050,703,998,909,
509,958,131,991,467,369,977,096,128,932,913,863,363,417,645,335,616,972,995,
691,564,367,989,919,377,765,040,457,057,954,615,745,351,099,133,519,011,661,
133,903,164,497,000,227,281,556,123,624,575,976,817,068,772,565,261,093,971,
245,726,887,900,406,761,209,661,566,135,649,912,521,032,823,524,610,117,599,
372,415,240,988,753,611,955,890,676,783,192,047,014,064,655,273,886,136,779,
905,656,561,241,363,330,972,686,473,265,131,889,487,133,309,259,867,095,520,
625,832,553,898,557,528,018,818,441,930,639,512,508,190,437,481,588,919,389,
243,663,157,737,157,044,140,547,169,195,168,757,862,691,175,523,034,539,913,
828,857,054,997,769,980,738,384,298,487,113,040,820,913,191,097,321,308,898,
798,575,496,391,730,029,576,507,971,519,020,381,419,421,792,302,943,827,552,
060,944,416,114,035,031,304,181,572,677,936,688,218,080,357,532,954,691,229,
431,496,545,371,381,626,185,008,330,697,656,188,329,702,819,524,087,674,498,
845,205,426,920,765,912,263,960,940,402,345,555,840,628,495,691,710,900,598,
719,929,279,108,794,514,082,346,715,455,614,487,225,775,587,038,931,158,888,
434,486,400,910,226,867,466,310,725,461,785,982,310,028,227,278,420,660,334,
324,025,342,380,542,500,315,552,280,125,623,038,509,479,744,380,722,641,427,
705,276,220,270,463,460,487,491,723,626,576,178,858,060,554,939,804,938,197,
751,974,330,339,602,441,011,503,855,208,703,093,050,217,152,102,666,086,138,
774,261,236,982,897,035,219,830,908,247,417,858,274,695,478,976,427,302,274,
975,910,268,016,981,337,976,138,834,673,442,230,335,792,085,907,205,767,930,
859,416,240,928,872,540,265,843,788,414,137,526,105,318,915,173,854,912,092,
004,020,458,623,478,391,349,378,405,267,186,306,214,078,158,608,380,492,845,
025,855,981,225,576,536,678,153,989,765,238,811,280,255,994,090,900,756,403,
832,534,381,638,869,191,867,426,680,235,674,067,897,051,552,472,537,953,932,
036,519,935,283,139,741,132,863,577,824,508,247,840,923,392,828,154,956,494,
300,436,549,344,774,065,848,212,316,245,209,749,214,954,215,697,390,930,044,
218,944,845,538,044,416,508,015,645,282,904,113,121,247,808,502,883,590,168,
069,521,133,483,190,249,966,941,563,635,643,222,453,122,376,094,815,866,614,
283,062,328,885,326,445,388,891,094,242,535,562,023,810,523,521,116,206,265,
006,749,711,653,573,606,018,912,550,274,965,991,583,417,645,400,242,803,990,
506,562,104,861,156,347,978,976,798,292,145,030,338,338,238,080,529,253,848,
570,431,974,064,344,924,443,301,529,970,652,746,397,431,123,353,678,582,985,
038,133,832,036,174,157,454,815,902,809,721,070,270,108,016,540,961,755,399,
725,572,411,190,255,710,781,335,593,055,712,125,780,048,196,975,617,858,986,
510,401,590,535,155,642,161,873,878,494,159,697,315,812,163,281,199,193,924,
045,519,717,719,006,522,266,912,180,708,091,680,737,135,689,100,179,931,100,
127,257,652,306,991,012,740,325,099,695,674,689,919,864,983,179,679,524,247,
694,190,173,299,274,080,213,264,045,548,501,425,453,960,630,829,096,719,030,
529,456,796,719,426,420,412,036,216,878,641,037,900,693,348,163,752,803,321,
340,361,731,569,589,981,161,057,979,160,007,593,822,445,234,280,789,439,044,
980,487,821,810,279,524,390,214,657,241,732,174,535,022,639,453,236,879,763,
283,121,313,694,565,925,460,312,015,138,889,680,234,895,080,262,524,850,735,
791,753,400,742,549,422,484,974,753,560,202,035,728,433,347,959,978,914,446,
863,016,784,818,716,496,755,276,157,427,549,429,580,184,553,780,004,283,226,
565,700,122,053,611,592,288,256,521,063,599,942,784,503,772,386,960,672,993,
800,512,022,097,605,765,252,898,274,070,329,300,507,634,486,078,217,911,850,
337,379,481,762,656,856,302,938,639,801,249,105,581,643,858,721,412,988,556,
801,129,876,671,287,858,413,023,839,434,481,212,505,335,303,777,565,839,323,
406,699,143,889,041,235,829,628,312,603,735,834,919,396,403,061,625,786,203,
855,240,513,596,557,965,277,131,822,742,561,508,201,828,141,466,088,111,583,
628,185,979,236,804,170,381,049,207,503,970,026,742,106,904,193,321,289,710,
912,729,036,824,026,734,400,172,992,514,862,831,604,263,563,363,647,487,167,
292,899,635,261,244,343,384,812,911,155,974,515,805,008,019,487,166,528,661,
775,397,849,024,781,940,617,886,213,471,070,134,124,436,586,322,374,907,738,
067,533,664,440,522,978,455,583,167,065,894,508,093,810,283,008,521,405,492,
883,270,256,379,629,456,674,286,941,918,099,248,018,316,326,433,890,793,726,
795,169,926,252,607,383,936,236,588,617,706,423,572,821,677,316,390,573,482,
970,715,622,047,485,481,259,477,385,447,394,351,004,002,544,133,806,501,149,
910,798,720,859,432,061,047,538,792,196,740,041,542,357,734,665,376,662,815,
337,010,641,289,296,285,003,509,003,699,796,244,843,538,262,200,873,865,744,
726,538,164,375,921,442,054,500,843,299,320,468,137,805,565,120,908,458,077,
413,944,729,685,654,361,387,418,566,649,271,217,124,395,974,175,227,588,305,
595,542,725,835,177,213,193,588,070,016,459,407,795,946,824,954,981,785,872,
199,407,941,988,503,246,399,615,509,797,492,553,402,156,025,924,428,820,949,
760,753,002,719,680,234,886,509,546,992,670,388,742,078,448,660,408,134,883,
554,421,413,211,189,224,406,468,920,639,425,970,403,058,953,881,219,591,068,
376,650,060,895,581,062,593,779,437,228,640,136,134,368,096,629,653,372,082,
058,449,007,987,524,693,276,182,179,358,542,979,047,457,568,639,775,691,500,
488,129,809,526,981,838,046,302,863,055,913,616,067,416,413,233,949,386,970,
995,427,644,980,954,109,582,111,221,712,870,259,156,812,119,513,179,215,991,
176,599,229,196,816,824,553,933,928,045,411,282,800,182,343,690,078,383,094,
294,267,040,383,133,540,046,303,593,412,560,429,674,735,581,186,643,562,986,
771,609,356,043,812,967,705,829,541,692,689,567,229,347,663,054,225,908,197,
489,612,585,390,195,074,534,412,281,770,964,788,672,767,565,507,943,376,371,
308,183,677,761,901,169,060,616,163,733,531,335,720,856,371,543,719,413,639,
980,109,686,439,972,968,382,633,538,269,233,246,795,151,815,813,607,572,028,
189,792,603,468,273,923,130,778,970,445,994,461,410,494,084,471,364,545,857,
090,721,780,296,239,592,597,288,283,966,227,693,499,294,742,020,559,080,012,
601,327,988,490,377,993,244,196,893,373,403,413,521,497,830,584,554,766,071,
098,670,211,065,996,982,477,507,808,114,277,313,975,981,084,797,267,381,317,
413,532,341,635,669,379,294,891,348,897,476,670,905,771,844,074,895,373,925,
237,945,656,993,017,783,139,277,243,094,265,758,643,058,738,424,715,649,955,
838,245,760,459,423,230,129,627,620,204,017,630,691,926,699,720,309,114,398,
963,653,479,470,413,713,446,236,408,670,753,369,257,123,390,821,333,440,410,
513,587,985,313,069,403,259,917,987,774,414,918,478,921,464,923,465,352,692,
036,567,279,050,503,694,316,820,658,779,300,320,221,028,176,980,856,494,739,
820,468,212,605,622,501,617,325,439,189,359,946,616,443,251,602,860,690,146,
773,988,284,616,929,849,715,659,662,943,923,743,394,298,792,457,873,435,790,
636,117,330,688,751,262,014,865,748,195,705,924,534,818,872,622,760,172,243,
137,261,800,323,960,922,394,407,112,323,972,727,420,844,012,679,071,297,201,
973,175,394,362,054,368,588,063,253,487,428,945,902,925,866,198,236,204,993,
748,150,670,673,273,816,209,623,052,122,699,575,877,285,862,680,481,755,173,
504,386,007,762,489,466,168,771,009,534,384,247,436,836,958,503,907,116,901,
488,241,422,899,172,233,617,964,818,677,026,513,163,983,979,405,478,084,811,
523,055,369,863,034,232,197,882,246,225,651,953,175,020,877,591,361,702,355,
767,567,360,964,013,359,253,672,437,568,674,225,556,811,122,239,292,038,756,
546,421,872,096,626,348,382,322,336,802,203,307,945,493,702,900,432,609,122,
038,412,957,290,304,147,615,494,956,411,258,174,784,962,010,646,957,327,736,
869,807,929,246,609,604,142,250,485,836,363,976,264,843,157,167,439,504,979,
548,272,597,901,998,875,796,861,328,339,443,266,462,221,541,506,397,099,976,
390,001,885,880,182,347,964,631,724,311,092,558,428,356,200,758,325,111,027,
228,185,754,815,845,273,121,442,576,815,985,789,759,951,924,147,120,952,842,
105,966,779,582,714,698,670,020,839,693,112,220,209,331,336,968,667,698,448,
683,462,307,231,447,899,618,387,399,126,262,563,904,476,224,451,831,783,530,
847,493,164,823,695,366,467,501,322,595,789,519,433,863,038,873,578,743,698,
874,908,115,009,950,246,752,935,806,514,898,436,652,995,719,485,524,953,921,
132,299,811,797,216,190,738,458,978,467,248,912,277,799,875,668,667,545,333,
045,566,514,492,247,843,662,672,940,985,546,475,039,966,626,872,430,668,894,
793,001,480,524,502,735,553,611,228,801,088,095,866,070,602,642,708,344,736,
742,507,166,404,747,481,127,193,531,502,401,408,351,080,409,543,880,353,724,
408,332,758,479,615,170,786,219,115,039,342,607,179,424,039,172,832,804,739,
590,397,374,738,253,040,158,979,954,881,201,859,539,282,244,031,350,403,241,
876,039,330,755,621,374,277,310,202,116,317,277,327,658,791,011,395,055,994,
943,323,317,014,477,874,269,366,554,004,109,554,650,447,267,683,164,263,583,
867,045,536,478,082,315,912,472,453,328,212,653,557,697,521,739,096,492,152,
029,137,696,711,487,391,969,497,607,996,279,360,042,171,517,669,814,622,270,
868,752,700,270,357,875,033,021,128,525,272,390,826,063,239,727,369,972,417,
421,075,370,080,856,589,769,598,343,815,008,601,592,002,052,264,964,670,206,
883,385,241,172,224,544,320,106,950,200,285,702,534,232,970,999,172,089,375,
622,652,244,361,396,793,324,056,571,052,955,150,778,932,715,992,088,712,734,
603,081,669,440,166,289,766,656,463,545,407,965,188,278,677,722,627,093,532,
707,425,279,100,628,579,781,213,905,403,749,535,212,652,921,958,173,231,888,
422,883,664,499,755,037,793,533,776,542,502,133,037,759,341,192,097,934,819,
974,153,628,369,616,785,283,056,669,085,175,420,838,951,184,425,313,796,416,
094,682,431,110,843,176,685,889,829,675,159,677,144,765,523,969,016,843,633,
086,703,120,115,734,084,723,996,539,295,838,330,494,800,465,420,444,202,916,
634,635,890,218,099,479,262,425,868,641,763,468,247,602,103,853,437,089,330,
651,157,864,558,242,148,769,128,260,952,278,029,035,853,718,154,041,306,694,
524,174,965,382,477,041,275,506,894,257,574,972,770,342,883,966,111,839,563,
597,649,277,645,378,421,946,604,178,936,756,010,957,058,372,324,438,059,483,
048,279,607,568,271,941,458,751,353,444,231,206,900,798,407,788,115,872,314,
407,774,815,976,977,908,314,882,513,608,797,047,406,352,443,132,011,004,787,
695,078,110,457,419,734,989,486,734,370,563,673,029,116,373,203,179,584,501,
257,938,614,180,301,390,094,743,831,271,952,112,765,471,065,736,371,688,570,
372,110,148,879,771,276,033,258,123,243,698,503,884,536,559,394,111,177,577,
962,642,339,372,701,591,023,726,252,504,609,054,116,530,072,590,004,054,615,
780,233,380,141,747,633,653,645,292,182,438,925,825,953,657,901,153,767,249,
597,718,279,444,760,082,934,349,646,014,817,053,902,626,756,860,184,469,401,
573,337,253,284,780,272,221,314,138,801,449,161,279,011,158,980,010,963,001,
754,313,979,971,318,156,409,303,835,781,293,986,604,310,466,316,359,273,729,
138,176,873,632,164,167,156,002,528,599,767,758,635,970,175,866,856,864,811,
732,090,738,207,573,133,522,729,364,395,087,333,180,739,864,359,914,383,732,
522,809,436,969,429,914,970,057,638,151,163,071,133,604,631,548,916,615,048,
567,264,562,628,690,211,151,877,088,313,245,499,476,646,580,983,370,503,889,
850,749,527,206,973,534,994,886,399,108,191,954,348,867,223,315,520,734,144,
612,404,973,288,313,945,975,624,856,647,992,062,677,298,435,981,697,738,890,
733,017,615,344,340,879,696,360,395,277,713,784,262,437,488,462,132,783,222,
488,479,679,565,834,022,821,953,881,287,475,714,709,694,100,927,304,571,328,
288,162,962,482,689,628,592,363,199,388,889,154,116,463,739,354,661,596,395,
550,947,575,135,098,670,511,288,042,235,809,867,579,257,460,634,682,106,712,
231,557,929,298,267,071,625,367,936,140,958,181,531,489,037,425,533,665,885,
774,717,765,665,262,334,979,884,448,074,282,766,256,666,266,103,402,762,082,
002,400,090,936,224,300,386,392,649,573,174,008,824,736,058,921,045,889,452,
916,621,629,817,054,522,496,568,076,978,818,341,910,073,782,582,868,254,544,
933,069,100,903,688,091,686,742,059,822,619,925,577,409,466,339,832,391,191,
800,125,944,726,740,248,666,445,491,788,753,411,241,058,571,109,705,815,765,
062,664,434,845,193,819,375,474,518,957,486,112,106,705,159,952,676,252,743,
372,898,978,518,453,155,849,545,671,995,311,551,868,996,113,421,678,228,960,
341,937,254,893,891,301,545,260,486,746,355,481,546,356,521,429,376,020,606,
624,142,585,046,875,985,292,329,074,919,768,057,765,529,128,196,651,842,023,
869,814,602,375,522,869,901,872,620,413,125,528,776,240,060,139,548,582,488,
286,598,522,432,024,398,905,095,145,073,231,064,993,483,617,398,474,789,521,
746,189,416,363,893,820,732,768,425,297,810,881,208,902,313,003,308,572,169,
020,230,851,235,212,250,447,910,827,600,260,777,816,628,504,296,839,688,281,
642,143,935,765,531,736,856,611,642,656,771,869,293,183,421,441,904,063,116,
604,987,067,142,674,409,685,376,111,905,332,960,945,384,091,043,783,275,724,
181,744,313,951,615,838,809,983,652,900,391,659,462,826,301,428,016,210,387,
190,621,969,107,277,105,928,413,394,638,309,270,993,288,369,880,158,602,735,
250,201,929,532,180,547,249,613,822,320,372,550,739,521,458,962,675,272,882,
769,042,988,784,328,988,105,826,144,802,823,875,202,988,174,227,757,543,295,
478,841,023,183,493,873,138,364,396,804,265,432,519,926,376,841,634,887,418,
038,449,118,170,365,021,308,144,146,518,530,168,589,827,194,037,809,616,881,
937,571,829,607,823,750,663,342,330,748,448,605,733,671,376,112,259,363,589,
315,409,430,685,188,636,025,435,478,287,609,474,864,497,350,592,950,840,835,
230,987,721,821,711,083,960,710,299,148,700,636,366,840,762,894,082,636,668,
806,817,719,981,325,571,333,051,055,232,848,155,283,608,791,674,191,495,742,
220,738,966,226,008,353,067,681,619,337,196,640,287,914,868,216,104,430,176,
567,491,668,777,999,526,040,173,577,916,595,526,177,038,996,264,948,080,411,
129,075,798,226,923,960,772,543,596,393,579,685,639,862,692,254,375,588,847,
082,948,713,973,921,151,594,640,536,845,863,033,739,757,087,775,649,709,674,
332,042,648,175,065,677,102,643,642,683,090,546,755,670,897,993,678,630,005,
108,142,621,187,208,030,715,045,431,152,692,148,017,606,193,499,019,840,820,
846,361,823,341,549,434,350,496,876,943,526,620,011,181,614,507,144,278,261,
597,389,526,215,309,676,499,914,809,680,128,854,305,607,629,807,780,926,617,
977,760,486,983,709,246,019,803,026,186,172,391,586,339,396,070,694,022,999,
778,514,169,251,809,902,723,654,271,198,697,738,647,942,516,738,553,555,372,
850,791,644,102,851,964,975,541,283,532,732,889,968,200,109,073,546,348,669,
521,178,303,553,548,860,067,011,457,856,244,009,130,505,859,737,970,124,810,
149,889,191,163,406,561,124,180,131,326,298,872,957,930,544,269,128,181,323,
736,790,450,483,332,482,917,849,434,433,405,064,427,225,668,334,858,577,187,
129,463,529,071,453,711,904,725,263,625,726,086,553,523,584,491,235,426,911,
352,367,765,884,567,778,183,503,820,095,416,427,412,025,549,638,871,367,506,
395,998,107,328,874,652,403,261,245,925,067,500,692,666,523,548,841,295,448,
320,022,201,190,710,608,301,924,786,959,085,560,798,305,252,290,349,413,554,
387,066,751,036,464,939,852,564,607,854,811,255,547,749,038,557,330,765,386,
867,221,542,317,975,890,365,373,829,059,911,310,370,347,311,276,157,956,389,
846,446,101,375,742,060,892,570,808,601,301,023,899,245,603,877,948,506,299,
240,636,970,128,040,267,045,573,602,089,973,197,517,531,956,669,774,850,722,
305,302,458,521,660,264,446,105,812,157,596,378,213,828,632,916,719,780,263,
610,335,952,919,183,351,900,106,495,239,388,245,283,049,683,892,608,565,430,
277,298,203,743,569,252,806,351,164,150,202,988,742,693,294,534,935,410,962,
942,430,481,012,266,604,409,529,883,789,915,033,740,965,583,738,808,459,403,
242,270,891,334,700,567,424,464,474,254,298,454,286,859,920,100,492,175,908,
062,927,484,676,497,751,639,601,813,140,067,884,305,152,434,496,011,352,983,
840,029,348,141,292,366,926,668,120,617,724,893,155,581,120,819,048,276,604,
559,783,453,337,734,972,274,772,709,524,273,338,490,277,509,047,131,544,706,
625,876,779,161,574,905,029,344,355,625,953,951,109,380,133,798,175,114,166,
456,882,424,673,976,968,555,127,089,505,207,262,504,276,475,494,102,436,884,
715,100,833,213,115,764,166,819,987,056,655,036,840,534,837,632,721,734,528,
940,931,962,012,669,413,647,371,131,285,075,029,795,573,273,774,730,679,318,
486,131,860,773,676,320,810,491,158,158,165,391,934,457,422,517,032,864,473,
312,128,677,441,795,331,801,212,160,985,719,457,648,357,245,429,122,679,619,
909,288,314,976,562,598,625,884,768,422,841,365,244,108,136,093,127,818,034,
825,569,941,457,401,564,278,852,041,967,002,528,135,722,954,151,714,572,638,
427,678,257,125,672,315,693,544,911,403,945,293,623,273,019,667,992,378,464,
697,701,089,611,390,405,350,853,551,863,501,717,588,818,610,346,517,137,705,
076,243,752,007,761,440,387,263,837,070,961,646,249,711,600,253,879,923,946,
831,094,654,369,373,184,315,552,933,908,451,856,797,194,662,810,345,680,621,
271,654,870,056,017,986,804,397,923,510,430,155,011,428,953,298,496,522,101,
768,542,970,074,863,681,000,489,665,834,584,804,563,261,340,117,289,803,798,
223,407,780,691,218,546,636,450,187,787,982,542,844,117,366,674,901,644,900,
564,833,509,096,708,234,085,602,544,220,843,208,458,258,538,806,795,830,737,
613,817,847,633,778,824,538,700,917,889,614,769,713,401,518,380,367,913,857,
600,425,641,331,159,505,906,329,014,362,139,014,114,737,790,193,603,429,311,
383,380,560,583,738,862,861,311,392,767,299,332,745,008,999,692,208,058,466,
069,968,513,960,040,999,355,329,322,361,003,733,773,391,899,384,198,498,935,
724,045,353,637,630,761,167,915,352,480,752,696,605,679,870,547,646,576,916,
926,032,167,311,390,621,138,327,552,094,194,274,635,803,243,678,602,007,626,
272,236,189,527,803,144,726,978,092,937,698,799,281,702,780,309,122,193,228,
721,423,008,656,202,240,507,173,224,900,988,522,011,583,386,727,477,278,769,
442,299,571,717,252,019,140,112,466,972,393,848,501,510,795,347,563,969,094,
852,063,467,648,848,672,963,441,088,564,424,359,823,522,553,051,506,538,406,
203,298,600,125,425,591,156,377,485,519,285,930,819,508,027,077,675,549,723,
583,245,637,837,178,081,325,011,186,796,095,952,560,566,744,785,564,622,592,
027,622,496,283,468,178,346,489,077,463,185,361,262,053,899,071,263,699,198,
295,294,974,724,588,752,580,786,392,183,063,951,943,534,413,688,332,525,039,
218,818,572,451,669,963,873,450,364,126,411,441,422,499,296,596,259,568,936,
403,325,658,232,503,366,054,324,664,748,206,731,103,143,346,930,144,736,688,
143,788,465,033,028,872,597,005,093,831,128,839,591,843,700,096,967,580,812,
814,180,224,223,501,930,210,548,238,075,563,543,891,350,169,948,279,327,220,
269,867,522,468,284,247,821,158,331,702,107,305,043,070,889,626,452,049,969,
053,776,290,678,627,188,495,983,765,945,950,200,915,410,593,095,512,070,454,
983,473,235,416,711,288,611,392,058,267,888,709,756,431,168,559,953,369,882,
415,702,597,201,390,167,180,522,975,218,131,324,314,318,519,790,787,238,703,
521,212,898,644,857,755,185,226,020,987,743,228,392,611,782,778,526,045,579,
546,465,907,999,540,806,315,102,997,792,337,481,531,419,269,511,687,019,390,
521,559,380,024,216,943,490,428,590,880,194,868,669,124,354,794,355,270,298,
627,586,389,744,966,080,299,366,292,166,297,698,357,343,814,125,833,524,074,
262,480,549,708,029,250,372,152,121,400,550,010,381,365,363,368,842,970,345,
334,761,345,139,947,344,711,234,976,053,174,461,093,678,930,619,456,227,002,
276,865,875,248,103,460,396,618,553,424,798,043,110,033,182,292,431,710,558,
930,893,052,290,724,581,907,515,710,086,284,578,773,592,958,903,238,265,868,
046,879,193,636,306,083,896,694,826,574,925,488,175,045,699,421,049,006,869,
220,327,021,956,529,466,066,782,171,866,123,464,091,564,621,951,645,365,483,
669,832,475,611,445,438,802,525,917,771,373,121,606,653,596,887,810,976,914,
778,393,972,070,188,318,641,848,216,734,634,670,213,151,604,509,037,609,134,
906,857,848,683,600,767,907,607,478,704,340,621,909,338,102,206,833,387,058,
815,830,713,098,705,865,514,831,243,489,155,643,487,915,976,176,176,755,397,
031,282,996,157,353,799,189,932,772,744,634,975,398,056,077,054,527,983,192,
032,368,609,185,260,685,801,999,127,416,889,253,438,196,437,643,835,298,179,
911,932,602,657,247,744,933,968,774,237,709,155,448,952,949,199,891,116,542,
149,377,092,333,593,158,084,498,984,315,653,966,970,449,158,322,098,120,097,
573,069,766,513,877,941,993,201,905,715,128,273,159,300,363,821,685,031,598,
852,442,051,280,680,487,780,804,197,158,394,821,731,720,356,182,541,626,037,
210,710,396,938,524,333,751,428,228,614,653,185,354,315,433,609,334,939,014,
786,841,441,407,574,986,637,664,831,536,543,166,787,238,392,598,091,444,099,
608,290,491,760,443,578,903,532,751,677,808,618,655,868,734,804,668,381,854,
098,508,369,311,139,925,087,571,027,749,284,064,121,295,835,677,754,517,420,
349,893,451,678,066,783,910,462,849,740,779,784,892,050,784,698,768,298,943,
011,327,190,210,096,584,628,666,973,762,965,923,328,127,241,627,729,944,174,
901,842,894,067,417,651,212,379,084,264,007,623,347,363,636,175,725,792,753,
629,970,367,447,308,339,884,594,209,023,840,440,327,775,410,066,846,744,406,
573,114,963,055,277,607,571,856,326,167,454,431,707,435,877,599,753,531,068,
704,771,776,719,103,968,440,223,063,516,763,895,360,115,584,259,607,452,708,
661,859,340,353,377,673,437,125,075,419,764,282,992,536,391,429,246,054,051,
864,642,702,122,834,895,622,482,171,768,175,900,852,670,692,845,180,912,273,
696,901,373,870,281,139,988,952,261,730,333,210,485,672,166,740,451,782,522,
814,374,397,990,895,363,806,039,490,722,768,960,180,205,463,392,115,608,717,
944,985,971,276,320,757,166,210,707,153,602,321,739,370,007,714,444,729,378,
473,000,084,440,266,807,556,177,379,401,064,031,305,560,074,061,193,360,511,
175,691,948,256,098,677,240,598,751,673,616,385,200,505,908,273,944,671,629,
344,491,614,043,756,894,392,933,763,116,592,967,525,144,026,814,086,608,210,
832,040,709,350,465,615,078,677,178,331,290,238,143,199,814,577,550,672,543,
796,530,980,746,989,049,423,506,173,720,770,969,179,103,677,233,888,270,123,
753,180,086,076,251,424,783,962,610,727,117,019,508,474,985,441,707,508,110,
604,546,786,133,798,865,878,947,437,766,470,502,953,201,182,367,036,058,010,
104,111,577,553,423,430,065,546,251,831,792,998,492,918,103,061,691,849,046,
382,295,864,840,168,037,981,447,537,369,336,982,001,927,357,661,157,170,850,
674,824,470,785,876,167,887,948,617,922,612,400,701,562,555,393,183,664,201,
602,528,693,981,771,944,307,447,337,128,853,701,927,090,693,011,511,382,354,
887,953,571,031,080,966,183,577,832,293,528,885,070,216,587,916,129,120,698,
119,793,160,542,095,446,453,338,237,737,024,973,366,395,804,777,922,898,425,
507,751,706,530,355,924,307,838,957,824,280,876,509,302,754,446,635,572,884,
322,029,932,215,536,422,018,548,780,659,033,842,960,970,285,715,824,954,658,
764,243,389,103,241,631,657,467,907,436,563,111,770,452,575,388,367,570,679,
794,737,628,210,263,464,709,131,689,080,483,355,968,650,147,282,181,569,829,
161,861,838,177,304,357,990,653,801,577,212,697,294,868,223,581,707,109,806,
176,261,224,092,840,849,367,003,423,461,100,835,249,558,649,811,078,475,706,
883,636,362,172,763,342,705,121,854,006,465,689,795,607,642,717,800,361,504,
791,616,237,195,961,758,756,693,835,224,338,842,987,534,321,943,166,103,352,
116,507,777,415,497,281,042,380,933,655,276,130,135,684,825,239,865,346,589,
380,712,039,480,542,545,783,145,697,558,699,454,885,011,631,763,229,234,313,
778,839,708,167,714,404,587,573,952,786,815,644,516,059,444,279,642,245,879,
893,373,739,162,443,552,297,322,566,442,100,282,171,714,720,573,511,434,389,
618,262,809,574,368,270,139,075,937,670,563,729,290,523,597,911,260,139,157,
024,211,079,637,273,313,916,775,972,430,807,676,193,377,818,806,656,463,549,
178,648,077,292,942,268,322,672,395,304,583,967,749,678,732,012,508,561,207,
153,967,021,384,217,352,119,493,231,370,408,414,712,601,920,532,400,791,423,
539,092,755,556,879,475,799,495,934,558,529,660,984,546,907,341,408,574,526,
044,491,209,277,211,547,308,699,968,028,922,407,870,969,004,121,840,752,318,
103,821,253,288,849,796,061,078,697,509,513,083,705,905,282,337,251,411,837,
565,287,125,653,644,562,429,514,229,798,721,597,614,318,823,623,591,859,073,
363,690,144,295,819,522,934,186,061,476,628,357,039,721,712,709,416,078,777,
213,761,116,269,516,818,439,511,261,927,415,366,896,919,720,529,526,943,773,
157,520,366,606,210,997,341,767,821,804,063,766,453,951,752,531,698,169,458,
391,790,429,567,578,600,184,704,817,868,562,498,134,102,941,892,965,374,575,
450,546,314,753,303,406,154,055,557,893,623,081,949,489,039,917,378,733,845,
399,571,475,728,333,386,112,861,897,640,147,695,414,831,997,739,075,108,295,
632,156,647,644,968,126,279,509,629,578,181,009,993,787,291,084,539,632,166,
902,465,923,348,548,788,013,904,629,548,876,149,545,633,350,683,484,053,001,
508,727,578,070,712,117,121,255,357,305,447,507,363,122,274,186,494,535,175,
418,464,139,684,914,935,444,921,263,479,254,794,794,665,423,088,894,952,999,
589,287,180,665,481,777,935,444,930,959,164,851,708,298,957,527,947,271,382,
562,867,913,470,145,566,206,637,864,098,766,470,220,346,351,850,784,420,366,
338,807,992,215,340,367,194,706,728,126,425,130,651,475,562,606,130,715,785,
467,905,611,978,151,560,935,222,203,037,268,159,062,319,969,730,707,935,272,
859,456,106,344,460,925,481,396,714,981,063,955,510,541,061,815,200,825,329,
000,766,146,734,845,267,171,104,009,106,771,851,851,697,198,717,194,044,526,
116,114,163,215,714,507,491,388,689,745,655,635,701,059,132,808,719,438,012,
907,988,828,497,455,264,949,401,135,805,066,664,994,167,112,751,549,040,267,
290,565,339,881,505,787,979,152,301,922,713,306,183,873,486,842,071,348,374,
006,350,918,890,326,137,460,300,995,083,367,106,417,399,816,172,539,317,968,
992,413,619,010,718,966,603,154,773,980,503,558,266,614,318,905,552,680,717,
740,703,263,109,369,011,073,051,665,421,184,910,622,852,521,469,403,007,370,
741,339,549,980,509,806,130,659,948,747,567,674,121,769,505,322,803,047,441,
684,867,611,756,560,142,152,817,800,998,143,436,723,591,590,828,107,475,771,
727,208,579,227,056,333,887,484,806,212,695,431,006,642,329,615,292,490,698,
926,692,834,530,581,951,640,288,082,499,351,185,169,545,583,747,112,892,943,
571,635,884,418,152,737,899,816,733,450,243,736,568,068,431,305,597,696,772,
498,544,358,281,472,926,038,932,629,965,450,521,773,781,154,806,153,934,108,
872,750,413,111,836,283,302,285,741,129,350,772,584,758,433,444,555,357,494,
733,727,018,488,286,824,751,474,610,131,632,209,149,735,372,586,540,791,706,
053,407,674,089,029,720,763,410,548,316,773,911,850,476,787,770,382,107,240,
777,456,966,197,507,053,164,718,244,841,358,317,896,934,707,458,090,531,796,
905,677,833,815,260,053,602,757,376,365,338,419,990,408,556,153,457,451,376,
190,685,372,011,707,093,841,080,948,239,026,324,191,273,468,699,715,248,135,
709,973,869,871,013,512,948,552,751,490,711,995,806,061,303,639,205,021,725,
953,384,111,952,225,088,611,772,163,340,101,033,952,636,554,632,204,254,232,
281,146,398,000,579,524,841,712,771,951,803,904,313,857,959,477,209,898,518,
182,436,788,028,576,409,555,771,282,029,384,681,700,000,104,467,430,570,650,
751,144,482,961,900,203,026,120,724,187,317,926,157,908,319,930,087,854,429,
486,097,757,968,648,926,120,711,719,431,897,775,439,279,465,799,336,487,016,
128,103,997,924,493,060,877,973,509,667,388,134,941,040,335,131,929,152,808,
266,193,467,737,887,600,428,293,737,149,160,511,792,166,904,747,501,982,304,
820,250,844,181,952,714,520,717,456,092,302,594,959,972,897,403,359,761,097,
886,140,027,106,737,125,669,339,367,189,906,919,807,308,038,840,953,477,498,
291,070,459,917,972,631,692,695,134,410,183,441,414,045,152,771,630,586,696,
335,376,928,021,212,076,126,589,737,309,375,494,954,673,285,141,272,493,667,
770,823,300,066,016,223,910,157,426,555,591,901,840,189,406,203,105,776,347,
649,221,590,178,595,644,912,284,516,598,052,734,287,789,929,332,339,207,684,
451,338,056,781,399,974,380,476,831,227,508,805,439,675,581,229,734,765,445,
906,467,150,665,281,111,053,123,524,684,324,245,739,240,791,591,939,081,875,
517,223,420,400,460,576,771,689,917,978,312,485,773,685,491,512,419,597,857,
021,940,379,502,803,069,509,749,109,954,627,793,831,306,422,277,125,304,053,
552,475,961,773,698,970,216,914,049,898,274,313,220,723,116,867,015,748,119,
060,372,073,521,835,816,937,388,851,537,102,536,566,635,574,102,956,077,857,
872,876,158,422,151,136,956,279,016,070,441,290,565,493,110,483,907,801,144,
549,476,955,410,409,385,670,589,990,066,795,518,833,269,321,233,067,778,770,
921,725,991,324,902,831,002,642,778,145,251,781,945,254,270,622,240,392,166,
838,977,250,480,603,016,908,703,367,995,661,372,573,559,376,076,698,961,748,
042,852,056,537,314,752,182,038,697,161,499,651,984,583,024,343,677,170,755,
846,030,510,061,719,293,836,897,701,611,150,864,250,659,599,922,780,936,835,
964,490,962,273,947,607,321,643,862,796,034,360,152,498,796,878,376,523,932,
130,838,020,629,307,923,201,108,502,678,515,992,667,190,167,553,389,953,765,
640,562,629,757,027,695,919,573,058,328,431,301,611,000,189,913,108,692,291,
448,586,717,653,613,114,288,204,431,805,841,444,584,828,908,455,400,883,814,
486,269,500,728,461,137,966,033,240,476,674,325,750,757,637,097,873,364,472,
666,963,933,454,850,733,084,359,847,799,319,454,068,869,198,326,012,995,058,
458,211,097,804,128,219,758,683,510,581,772,755,669,653,996,217,629,090,624,
356,900,730,170,910,712,287,226,715,691,669,326,422,244,209,844,491,829,026,
460,165,759,122,956,943,486,842,483,593,051,799,277,200,023,832,972,983,394,
489,456,026,118,113,314,558,997,762,450,503,162,115,154,302,594,633,119,494,
434,919,685,142,560,771,091,086,267,133,469,405,035,929,512,264,211,343,556,
918,537,086,122,213,791,034,806,912,004,062,465,340,143,875,617,834,825,036,
644,451,906,804,657,550,632,635,330,618,834,865,273,292,098,783,645,531,861,
076,311,714,393,701,107,830,136,498,482,053,658,459,523,896,632,590,392,509,
742,452,585,452,039,965,049,481,705,185,246,142,817,174,885,156,774,687,580,
677,770,041,012,876,275,788,343,475,981,503,802,965,434,321,380,659,102,839,
740,456,155,942,862,932,274,694,779,674,743,002,481,620,708,891,537,128,586,
717,779,789,016,578,861,112,471,601,082,292,447,130,699,341,106,951,556,437,
522,167,180,041,428,049,135,021,164,574,588,802,704,830,557,654,442,289,053,
194,819,111,053,785,776,685,080,636,831,301,495,740,904,123,437,758,206,977,
356,987,506,549,661,811,016,961,583,079,092,310,917,576,909,940,680,685,274,
895,574,697,070,095,469,695,075,423,671,664,799,326,637,014,262,201,443,933,
341,102,355,287,772,378,997,566,076,294,507,033,559,651,052,832,968,478,330,
559,570,862,725,890,197,500,172,856,480,448,824,215,251,905,705,657,973,563,
565,885,254,399,685,255,982,678,110,542,287,500,119,478,750,451,566,340,604,
174,655,047,294,002,572,998,633,256,319,074,302,185,412,443,677,922,179,504,
903,945,790,666,274,634,111,213,331,857,117,497,163,221,304,173,945,329,939,
814,377,900,768,158,433,141,180,598,134,343,254,210,525,147,938,825,109,883,
665,910,463,583,007,866,070,957,234,682,322,777,973,111,732,883,857,209,443,
221,761,656,385,117,746,724,168,371,483,654,826,033,799,856,926,196,844,820,
178,873,909,443,393,360,850,821,935,564,577,533,669,141,514,846,014,515,861,
182,644,026,869,984,975,902,822,842,721,175,351,732,583,962,212,154,722,110,
159,543,333,131,332,990,130,667,964,519,879,993,383,075,121,053,494,701,551,
975,570,198,205,264,049,078,099,238,196,966,385,019,182,632,905,158,008,297,
996,255,665,974,148,717,036,407,381,492,382,195,160,202,393,702,881,542,852,
984,814,853,883,243,479,527,021,727,587,099,573,469,395,791,799,920,464,496,
150,457,896,506,059,636,760,363,759,041,845,539,878,815,418,885,863,195,268,
421,036,114,983,463,584,041,330,457,732,808,301,113,532,043,197,115,937,951,
076,858,539,250,779,671,227,863,558,864,812,995,705,692,548,021,625,202,694,
205,069,113,779,305,534,687,234,584,405,700,702,273,856,990,045,120,701,017,
036,483,880,222,546,916,183,966,319,464,515,819,384,136,945,042,296,888,193,
385,268,236,177,152,706,298,944,294,767,087,809,841,154,268,478,698,161,567,
047,907,499,546,851,671,168,001,611,592,052,503,876,592,549,174,477,895,726,
631,561,977,332,286,872,696,618,592,821,465,699,500,514,955,701,797,037,866,
819,413,908,276,085,003,549,810,459,984,143,147,573,761,155,221,986,096,255,
263,602,395,542,822,319,407,740,038,801,294,895,006,057,054,292,811,094,845,
769,826,917,477,548,169,540,087,654,158,422,845,992,885,885,416,875,643,978,
422,772,013,827,671,719,428,156,575,648,474,461,897,633,395,552,945,592,055,
458,649,836,966,360,622,211,326,525,526,376,011,810,169,697,835,101,453,726,
451,406,872,508,843,451,892,341,356,809,530,479,090,702,088,341,888,623,453,
364,067,603,978,100,740,525,520,590,502,842,715,972,351,674,759,592,390,176,
430,688,163,518,969,620,444,104,118,888,383,117,767,298,266,326,460,602,654,
280,403,472,339,445,795,351,224,384,890,926,734,654,971,018,236,089,857,897,
489,904,991,178,018,253,364,144,658,185,247,502,610,725,102,356,347,987,198,
509,794,247,260,431,521,862,135,485,966,619,299,191,572,230,352,249,377,246,
419,826,157,417,967,143,120,925,260,617,637,521,989,759,747,602,335,750,998,
967,404,213,628,027,912,445,541,469,384,058,250,530,539,703,345,055,974,252,
482,060,701,475,552,895,575,452,163,851,624,164,195,845,014,147,210,334,702,
278,790,078,743,026,849,791,732,600,063,550,302,290,579,767,649,493,491,967,
935,962,937,915,303,584,417,820,712,045,269,273,027,223,260,406,628,536,241,
897,107,104,666,642,478,118,124,168,433,052,874,816,171,903,205,816,564,839,
894,981,301,734,267,941,071,148,540,850,976,056,051,350,197,680,882,851,376,
623,327,201,326,994,959,228,408,983,056,203,414,788,720,792,832,571,546,964,
612,435,491,014,945,782,222,738,438,487,859,631,904,083,707,972,745,558,571,
712,886,398,193,386,056,546,186,722,693,280,359,048,385,182,270,242,319,797,
464,245,231,111,311,303,970,720,039,686,740,379,976,310,380,296,979,102,182,
359,190,756,170,445,069,694,658,345,875,437,140,308,617,964,536,596,640,928,
781,805,210,229,408,838,400,958,627,233,410,885,153,384,304,029,608,684,065,
650,709,096,101,067,235,558,958,102,437,849,147,433,916,345,978,986,549,292,
623,699,349,958,458,490,241,843,794,513,070,276,045,422,214,709,105,250,194,
168,349,941,454,941,408,449,126,513,947,097,465,663,409,977,486,342,654,802,
855,535,831,530,409,452,129,405,846,411,334,108,547,744,162,678,438,540,990,
537,851,443,627,952,040,515,504,504,878,478,286,237,552,759,858,218,991,523,
102,104,808,110,541,650,211,388,656,101,339,287,386,964,627,183,476,733,625,
127,428,353,588,443,046,421,777,769,643,356,783,048,423,329,821,408,363,664,
666,712,670,779,339,431,869,353,717,266,058,019,234,782,622,135,503,792,840,
784,728,872,367,216,875,694,275,478,492,532,936,240,007,497,848,224,178,099,
298,380,646,549,227,789,928,127,546,119,953,778,724,223,497,107,827,518,282,
562,193,312,280,339,334,356,432,819,045,438,145,591,108,839,366,063,913,751,
925,123,793,463,923,889,189,558,682,962,810,745,273,790,476,066,388,504,185,
186,482,529,656,674,554,822,688,920,947,427,630,857,222,682,813,504,179,256,
683,144,286,888,439,581,771,745,151,611,462,702,276,563,058,530,380,699,853,
246,732,939,864,133,174,077,309,856,759,426,071,223,924,933,362,205,711,466,
979,488,421,660,356,424,984,865,176,364,798,952,994,675,788,827,060,781,296,
610,039,340,345,534,495,933,543,101,243,728,686,994,208,088,375,275,734,765,
043,237,425,460,729,101,413,273,051,029,271,956,097,079,067,774,196,484,466,
679,488,156,737,847,800,451,069,589,572,547,601,574,212,317,580,205,657,177,
092,533,143,603,463,882,070,425,333,443,686,064,955,230,100,896,423,385,114,
508,147,409,772,149,935,641,606,528,466,115,555,405,897,977,471,434,001,880,
764,336,719,517,136,145,640,399,192,107,719,545,964,831,152,267,217,038,004,
536,045,471,682,470,564,591,803,307,254,638,266,371,689,728,315,046,270,154,
801,867,792,274,815,839,068,672,967,027,599,556,769,242,413,463,271,636,963,
125,353,938,224,874,212,254,524,892,167,729,120,439,462,335,209,715,411,467,
283,622,480,339,524,769,316,149,672,599,899,286,034,564,160,945,264,178,952,
105,081,107,284,405,423,357,649,005,415,089,732,753,825,637,560,879,684,011,
177,116,315,442,593,342,354,834,870,564,842,815,584,511,885,590,969,517,612,
178,383,806,063,624,935,520,458,927,210,989,153,355,648,253,987,780,414,755,
509,943,220,401,550,666,173,117,799,143,871,579,263,994,281,078,291,821,001,
020,159,094,029,256,621,302,590,498,023,253,977,274,443,064,779,396,173,978,
664,894,216,595,445,284,138,145,185,634,298,136,176,820,837,512,540,150,174,
817,836,590,331,669,789,173,889,653,316,850,473,056,597,553,469,683,462,212,
438,318,921,526,273,723,564,978,105,869,473,748,128,794,309,404,950,360,194,
950,743,060,742,669,676,595,766,024,322,019,486,671,845,922,405,882,965,618,
693,939,642,820,636,172,479,795,787,688,359,263,090,477,188,924,491,239,370,
547,152,082,891,150,401,334,267,444,633,365,737,811,603,348,018,854,525,757,
469,637,154,411,350,427,486,788,023,348,253,202,365,421,987,261,030,694,741,
213,896,039,437,294,645,986,309,523,332,559,161,775,519,013,479,372,744,093,
504,244,132,573,439,464,862,614,283,158,529,883,712,301,004,154,967,158,112,
643,017,865,439,528,238,863,873,382,312,039,624,397,760,096,745,614,939,368,
109,599,403,547,122,000,947,531,322,702,529,291,717,753,544,737,853,369,898,
882,508,174,855,902,563,434,478,408,046,381,631,571,410,192,329,128,816,411,
518,803,440,575,426,244,202,500,035,940,177,450,728,455,227,615,556,608,291,
616,747,299,506,174,306,478,838,906,388,727,194,627,275,691,256,288,050,203,
957,418,148,081,230,042,354,189,036,978,313,935,168,746,376,850,078,225,160,
756,149,441,119,766,119,990,888,518,893,860,659,589,681,732,687,837,955,252,
918,700,471,194,308,271,246,007,754,264,536,757,501,157,042,611,905,517,363,
943,193,083,976,013,483,399,972,632,703,505,153,424,306,977,271,217,252,352,
828,194,540,669,903,759,592,800,594,509,442,015,604,250,669,285,368,596,679,
241,046,760,002,586,245,306,661,219,534,089,033,039,146,254,786,480,048,420,
602,868,139,355,600,467,147,446,871,271,280,608,598,590,818,267,748,695,492,
427,584,673,295,736,852,244,497,853,767,866,499,475,626,297,846,977,147,205,
438,550,101,700,778,072,252,875,190,537,953,317,709,686,835,803,213,627,681,
328,312,311,063,635,640,169,564,157,477,314,109,862,665,278,523,517,161,962,
729,747,347,629,785,595,641,185,044,857,117,143,454,594,898,205,092,971,766,
611,185,004,162,463,779,857,237,596,405,167,874,497,305,471,651,152,048,843,
347,119,285,606,439,715,692,681,945,228,628,340,532,045,125,855,983,023,533,
780,220,134,377,661,048,152,685,626,365,157,361,947,436,061,149,435,372,992,
602,856,423,419,441,599,211,545,701,676,526,042,328,697,774,415,461,913,793,
458,174,235,531,171,981,550,738,608,603,976,054,547,947,348,645,146,580,461,
076,489,370,339,427,947,980,272,381,548,451,766,614,095,700,017,276,811,867,
092,694,673,533,594,175,928,625,298,494,902,107,744,345,191,824,961,415,859,
655,581,997,526,446,970,097,844,403,635,801,084,032,230,214,320,027,848,066,
455,150,286,323,144,910,259,195,611,897,681,679,812,756,574,417,752,055,785,
616,595,233,031,147,546,897,888,527,748,495,176,077,603,073,875,041,399,936,
808,448,958,908,814,576,813,125,478,295,785,436,093,756,840,618,140,130,630,
875,157,812,799,045,085,191,122,798,711,438,743,307,401,039,399,151,378,538,
126,474,110,710,448,655,131,920,972,971,814,774,578,469,779,390,491,691,874,
576,493,165,779,205,923,307,027,499,345,876,311,860,211,040,504,456,902,730,
786,077,327,860,621,824,981,155,517,249,256,722,776,926,160,222,162,247,434,
940,214,848,197,130,747,554,682,226,859,575,403,896,135,362,344,747,635,904,
289,893,889,940,504,754,443,781,121,032,235,003,423,829,865,324,375,164,947,
315,386,721,714,933,742,058,365,565,427,354,494,805,252,616,071,788,260,727,
262,791,584,976,885,521,035,443,700,144,352,649,878,783,856,279,787,476,886,
361,983,535,334,766,320,530,261,045,354,630,127,845,025,956,427,780,813,847,
282,005,896,800,182,897,228,092,023,652,883,245,438,213,435,447,102,373,200,
091,221,458,807,928,131,247,779,491,820,676,456,982,065,006,174,115,209,991,
224,438,817,237,650,282,664,383,018,122,934,549,175,530,491,179,964,962,689,
157,606,623,594,004,418,870,507,875,066,223,414,921,039,631,030,245,944,423,
355,504,158,752,308,299,037,137,876,578,644,892,023,987,158,728,640,470,950,
401,745,105,402,878,410,440,403,406,511,392,692,456,299,179,025,894,543,401,
636,423,305,946,936,422,419,789,931,534,801,019,813,470,402,903,179,874,460,
793,187,988,186,646,548,840,653,428,664,484,897,626,433,486,145,311,542,655,
637,318,389,176,951,297,482,648,976,977,118,955,959,654,692,328,981,203,486,
471,264,711,144,618,616,077,926,655,480,575,924,315,184,473,045,472,711,800,
103,603,867,040,372,911,932,257,602,930,162,348,739,017,140,410,300,591,673,
973,863,400,622,445,547,294,700,353,812,390,099,974,730,273,487,827,837,791,
745,931,711,214,563,094,688,845,743,524,273,816,000,383,884,784,847,881,014,
519,613,716,312,934,058,268,803,510,183,762,501,374,182,777,771,158,135,421,
838,230,735,563,698,932,397,691,148,795,115,062,378,075,850,265,161,769,770,
417,690,133,497,664,080,073,718,649,094,421,455,778,400,339,115,222,945,477,
123,233,153,814,956,692,332,232,469,559,206,561,358,114,781,729,985,825,182,
579,182,226,112,333,439,465,080,706,309,947,177,948,636,732,966,600,335,698,
049,345,989,480,268,697,400,128,614,119,439,405,890,016,544,159,907,046,694,
403,860,709,268,691,273,402,837,493,032,411,986,166,719,742,520,806,385,287,
878,811,629,894,534,665,428,915,163,624,191,169,699,529,674,023,526,592,985,
469,112,104,346,466,746,533,991,310,477,108,785,168,024,304,701,083,348,425,
328,094,012,341,398,703,735,674,932,165,643,775,136,266,080,297,713,770,160,
447,215,965,623,613,727,263,800,160,286,459,640,268,988,582,562,988,357,852,
232,516,073,309,040,241,039,862,530,026,233,071,780,319,838,691,816,273,877,
850,008,897,998,607,108,268,194,177,083,492,667,759,544,473,492,341,549,144,
574,666,229,438,338,428,042,455,808,613,907,836,178,618,897,580,035,705,448,
341,959,132,724,886,401,068,168,508,368,797,742,187,463,817,901,765,205,223,
619,899,172,323,939,084,501,241,795,980,750,457,111,957,621,414,885,979,605,
192,196,059,896,906,253,931,529,199,756,199,690,849,205,596,590,311,139,451,
634,397,391,681,019,101,824,041,400,857,798,250,692,156,334,845,118,531,927,
158,024,622,211,749,992,926,335,012,128,056,988,030,761,553,408,162,199,227,
862,827,999,048,102,529,888,832,156,333,947,512,500,182,906,887,214,320,145,
748,750,125,026,898,349,565,636,276,228,436,207,670,842,827,744,705,005,122,
856,076,539,920,174,743,328,092,688,011,245,440,497,743,363,434,057,172,028,
900,291,797,675,768,067,684,849,330,802,949,367,681,950,729,382,927,047,692,
933,433,206,505,533,283,314,173,587,803,057,730,840,353,462,604,651,438,664,
758,625,658,555,584,439,036,182,723,256,248,597,860,597,454,327,717,010,399,
814,822,275,266,626,281,157,903,570,135,697,833,170,739,243,316,150,484,614,
491,287,755,315,299,558,662,192,553,896,056,212,307,241,656,371,245,747,160,
915,774,086,907,819,911,794,579,509,941,444,858,527,273,423,538,956,638,469,
417,988,334,296,545,135,415,247,115,364,542,400,592,842,834,612,069,570,240,
082,294,814,047,407,493,103,526,124,215,094,522,582,836,256,026,139,198,771,
805,540,166,894,621,652,668,975,889,578,316,980,472,350,892,472,467,269,756,
833,509,493,124,508,619,577,147,534,418,715,173,944,250,255,748,208,756,921,
174,511,764,276,095,822,386,184,720,239,644,512,891,534,140,655,795,943,371,
794,382,609,819,256,599,205,902,632,168,245,612,488,078,630,892,514,578,033,
396,355,444,164,032,884,946,502,156,212,870,710,967,197,198,701,690,889,717,
797,391,311,040,651,418,124,371,752,742,989,000,767,302,774,393,368,902,166,
541,241,555,141,795,665,506,692,995,566,486,378,585,859,853,443,786,566,948,
633,591,778,511,072,416,767,964,886,416,337,305,428,169,598,162,081,583,911,
514,227,050,353,128,490,392,555,312,378,164,407,606,558,304,061,240,510,628,
180,952,453,882,569,248,434,712,665,387,907,687,059,940,025,160,759,023,935,
196,682,853,666,708,715,866,222,731,814,491,111,786,944,161,100,417,271,212,
434,643,327,738,482,214,595,889,107,242,763,000,179,799,462,639,719,367,236,
634,939,501,197,838,162,928,548,941,847,192,904,155,217,447,932,815,119,742,
549,217,865,483,546,581,459,414,168,215,976,078,216,845,942,722,859,057,576,
959,287,391,190,614,044,346,778,968,345,827,031,396,678,980,925,502,036,910,
282,904,049,727,875,300,348,741,940,968,738,566,248,213,217,564,579,946,512,
163,207,830,997,266,560,929,757,309,036,768,253,497,220,193,742,591,571,911,
431,419,437,676,709,647,356,494,212,107,779,700,622,875,244,681,854,683,403,
340,104,691,397,581,130,739,037,123,944,442,280,000,277,537,358,263,387,030,
819,107,402,688,221,896,871,154,355,383,358,183,627,199,145,008,643,948,077,
047,539,965,856,498,734,205,015,556,105,394,968,897,185,849,689,657,460,154,
404,346,645,239,818,292,466,694,826,663,605,922,746,316,182,336,155,061,675,
030,598,655,668,373,467,718,299,514,580,091,640,368,086,921,652,562,647,224,
447,305,578,673,444,515,887,076,844,257,022,773,963,691,239,679,714,949,105,
659,504,108,465,010,848,330,616,081,217,571,351,568,267,260,149,083,815,160,
502,211,357,283,621,912,835,271,844,708,081,750,479,508,379,224,785,117,954,
774,829,979,059,862,008,294,511,173,719,447,289,743,873,451,708,893,902,825,
441,500,384,810,706,802,318,877,015,166,496,287,321,470,003,818,275,935,220,
522,981,256,727,194,106,534,323,887,304,141,491,458,809,707,989,793,069,538,
803,726,952,984,367,672,636,128,348,854,392,535,536,811,414,713,389,899,060,
815,377,969,572,712,527,209,444,519,147,896,717,076,900,394,097,447,228,746,
450,872,010,021,779,406,119,387,130,873,284,898,084,687,779,333,717,910,302,
929,828,449,487,008,904,361,079,997,343,472,389,022,841,539,763,655,175,395,
927,122,441,520,735,375,823,059,730,331,696,530,271,520,216,254,736,436,023,
628,825,133,056,056,707,104,624,435,053,730,558,849,347,862,062,419,053,014,
955,508,373,588,349,155,825,304,001,126,665,893,949,205,635,777,637,844,891,
098,687,455,846,139,853,060,587,169,987,359,765,088,390,829,557,510,799,525,
317,268,228,889,287,077,673,115,015,157,913,515,563,795,897,243,123,162,469,
642,898,393,582,789,422,462,679,409,046,701,178,939,529,268,006,933,255,231,
296,023,796,783,195,469,617,247,156,550,670,098,720,649,077,819,826,203,662,
940,150,807,768,603,144,354,101,525,396,720,789,231,810,703,437,656,028,744,
149,914,541,294,210,116,964,766,693,682,657,179,045,477,442,146,284,910,086,
614,391,473,141,786,007,599,748,502,708,159,541,289,948,666,719,961,550,471,
005,319,676,661,908,241,804,979,740,079,310,935,888,423,841,654,232,311,406,
678,360,320,041,827,232,115,799,770,829,189,368,918,262,932,418,289,868,421,
817,814,441,223,798,885,251,819,309,591,905,283,255,908,093,530,547,183,537,
265,990,794,008,166,376,440,608,894,377,021,238,945,713,124,626,625,801,387,
116,782,318,144,295,509,963,546,739,895,236,198,828,320,107,636,338,658,213,
239,459,168,819,506,191,876,531,329,274,001,508,899,834,522,930,795,130,805,
982,068,612,585,338,826,183,722,044,503,837,065,550,354,281,727,606,050,678,
097,130,550,824,299,138,422,604,672,251,538,079,069,501,954,825,415,777,815,
213,311,061,072,158,652,500,859,340,097,279,732,188,378,088,667,358,672,253,
344,799,752,318,616,796,555,408,050,060,877,993,543,878,288,779,292,317,104,
001,554,372,382,301,711,510,185,710,118,948,080,408,999,074,722,857,092,926,
176,216,474,178,421,297,576,535,356,422,620,703,857,741,909,625,489,794,481,
473,755,031,105,993,382,695,841,516,641,834,354,067,328,939,296,809,850,917,
664,051,984,960,778,245,046,955,315,422,488,447,435,418,898,528,064,687,465,
434,866,595,740,408,383,650,026,334,772,592,210,509,372,038,317,043,782,110,
391,545,317,142,090,301,927,723,707,068,258,587,140,745,279,498,054,142,401,
751,291,572,883,534,633,151,431,838,259,887,436,924,507,059,241,149,444,338,
781,598,895,921,816,407,178,631,618,858,217,359,989,372,847,193,605,953,244,
803,768,825,189,192,580,969,425,040,733,868,479,017,622,467,844,464,748,383,
339,616,644,471,886,410,535,761,145,101,602,548,198,118,477,826,576,048,306,
110,237,940,514,968,323,028,200,415,837,419,138,947,966,478,254,761,072,619,
432,875,909,800,503,510,510,468,061,463,491,847,094,181,712,267,297,809,939,
362,211,586,255,512,894,218,811,408,904,545,283,232,235,605,746,550,404,108,
262,378,920,746,547,806,336,620,859,373,140,425,967,239,086,891,777,057,296,
193,338,495,349,612,734,422,232,990,717,335,941,848,484,654,612,976,735,184,
438,359,404,887,021,684,360,571,810,690,873,666,913,440,890,767,462,992,507,
715,514,928,193,136,352,008,602,528,703,127,635,249,607,082,411,688,954,119,
390,684,150,520,127,129,397,400,593,128,553,576,176,405,180,772,810,991,953,
518,219,620,714,990,588,151,556,383,797,007,267,759,321,325,377,407,586,345,
777,282,328,517,828,612,823,190,962,583,847,314,608,563,139,447,079,157,024,
057,205,775,201,394,107,705,524,114,587,415,173,538,259,283,866,118,644,469,
767,186,877,133,909,533,668,825,753,960,361,325,308,108,106,555,476,069,954,
092,757,213,405,085,070,261,280,377,660,840,607,522,703,822,873,936,978,378,
393,908,768,534,336,440,299,244,875,272,441,251,260,072,065,280,017,054,944,
964,609,943,417,322,910,588,554,752,618,877,360,196,284,481,010,991,328,544,
886,770,477,139,216,269,312,729,060,414,656,619,254,222,712,871,806,378,473,
658,006,703,496,703,469,436,890,111,844,539,474,607,805,251,037,473,452,417,
032,583,735,120,279,062,659,333,667,650,921,673,764,075,442,531,369,984,925,
517,486,626,925,784,282,432,011,377,029,015,300,997,539,237,257,185,857,084,
217,263,892,472,754,460,670,849,544,965,292,854,054,526,278,950,260,754,897,
932,258,760,443,740,098,530,546,812,896,558,497,417,913,429,610,272,696,631,
270,819,285,740,357,708,116,180,783,483,902,276,750,799,480,764,908,370,739,
648,101,720,437,548,224,895,307,154,408,630,635,929,518,685,625,052,747,922,
677,437,518,062,245,347,930,214,546,804,862,667,007,598,772,945,892,220,662,
058,783,999,601,718,277,404,155,024,914,094,752,769,821,111,930,813,657,805,
050,357,115,544,354,072,678,025,790,818,847,159,937,088,252,278,539,275,453,
375,592,488,670,559,865,356,707,640,584,389,495,602,466,090,854,864,570,896,
199,415,325,497,528,998,226,401,452,822,056,115,776,456,752,499,254,967,066,
609,232,733,732,382,796,951,525,431,992,474,199,409,891,142,808,965,482,028,
196,550,427,081,898,025,885,767,358,351,601,629,698,047,723,502,959,239,918,
965,410,326,472,454,515,378,426,528,962,957,236,976,767,342,270,635,644,478,
660,005,087,300,443,999,104,550,647,676,406,966,429,238,172,498,074,580,299,
945,130,587,386,170,238,353,551,394,571,340,548,301,677,869,757,121,372,252,
736,703,986,874,918,341,601,929,111,656,113,320,258,675,638,539,014,258,112,
249,895,106,197,063,282,872,169,995,290,259,983,434,237,377,491,148,334,060,
004,923,538,622,919,011,306,673,993,801,912,982,653,084,517,207,538,657,469,
811,098,572,254,279,104,619,495,823,492,753,183,027,357,774,290,326,615,395,
250,697,227,357,174,322,956,662,252,868,610,586,646,941,647,518,870,674,192,
364,444,062,060,308,978,308,866,279,222,144,566,338,132,786,273,319,711,945,
181,090,941,618,376,338,932,422,683,818,055,237,440,014,152,986,195,755,626,
321,612,540,611,576,134,844,030,964,466,191,980,102,811,939,738,109,651,510,
857,051,105,499,013,426,223,066,341,933,911,997,353,496,037,548,400,464,872,
076,484,641,279,786,922,578,391,761,491,494,341,207,941,154,958,949,407,080,
434,995,875,185,299,567,346,359,316,513,325,269,897,033,839,825,901,367,203,
171,096,058,160,253,248,212,897,807,694,484,838,875,371,962,716,697,514,961,
692,341,614,304,174,411,816,235,052,046,627,791,527,443,156,043,294,319,253,
569,524,942,260,347,191,209,317,060,273,400,980,536,931,891,840,326,682,898,
300,283,358,598,002,330,927,041,814,523,572,356,920,433,112,786,097,181,641,
907,484,424,994,185,935,864,168,457,402,988,190,082,575,786,294,727,661,949,
539,674,482,224,485,827,419,415,092,392,030,285,542,909,491,047,141,392,766,
351,181,437,932,025,372,890,006,301,982,616,692,313,191,814,812,223,012,469,
102,313,790,130,940,372,280,117,810,602,731,619,058,693,085,590,366,190,810,
815,531,058,222,342,205,194,334,495,785,044,611,799,395,197,200,863,851,099,
053,540,136,185,450,463,099,539,783,592,921,594,097,833,065,418,143,000,238,
125,296,151,794,060,105,231,920,010,338,648,696,375,201,808,752,080,871,069,
934,567,638,073,860,771,041,958,480,090,379,054,965,994,837,472,508,772,832,
056,003,974,735,567,692,710,370,698,615,986,918,727,183,826,941,932,887,816,
811,181,704,633,690,627,954,452,413,528,217,192,410,393,346,303,336,712,226,
243,345,274,149,788,402,828,367,003,372,605,469,931,992,105,003,466,211,055,
683,995,368,667,863,641,710,444,462,080,437,017,825,886,079,914,299,948,682,
695,369,410,343,190,583,828,479,868,811,256,887,761,108,863,701,252,896,483,
557,822,568,435,075,246,639,301,425,324,104,476,749,912,532,084,699,357,411,
554,687,318,358,909,934,804,631,532,836,100,423,731,290,838,140,770,885,359,
780,929,592,385,082,574,742,818,413,637,672,980,400,097,146,476,497,018,362,
180,349,866,225,323,490,781,477,398,485,946,668,974,652,948,082,910,556,864,
125,815,576,788,176,387,079,252,983,900,634,215,040,099,421,933,159,086,781,
823,961,130,657,691,834,576,225,764,168,609,292,955,166,164,763,733,538,346,
817,558,094,981,862,104,643,930,476,666,425,089,008,172,059,161,328,157,139,
749,425,303,355,194,276,853,132,796,421,073,469,855,590,318,195,423,013,323,
090,270,298,271,944,284,765,833,495,218,080,100,049,576,409,760,013,317,940,
757,361,391,885,581,484,626,187,870,215,628,185,643,425,785,107,804,625,422,
209,956,397,127,891,126,249,499,753,014,800,489,636,622,461,981,814,369,853,
085,369,009,499,902,374,015,843,761,381,922,646,062,944,852,231,116,699,550,
374,349,074,992,627,225,114,579,885,709,092,916,145,625,674,028,127,829,385,
890,653,203,309,619,891,976,136,021,731,126,707,020,271,363,430,776,997,163,
603,426,668,060,278,137,147,070,291,647,077,783,487,455,220,643,985,491,994,
220,828,778,605,413,548,789,687,833,021,811,602,865,365,888,347,249,206,974,
240,159,441,936,164,693,346,252,436,369,760,163,907,203,892,235,305,363,734,
901,529,829,208,188,912,733,315,603,751,241,199,644,555,015,817,659,370,043,
482,303,662,197,049,029,883,105,300,304,100,836,657,297,631,475,118,993,815,
231,248,930,299,034,029,736,900,632,072,183,147,340,863,225,049,534,502,603,
903,575,125,285,263,175,636,943,825,050,774,498,165,807,768,729,941,794,310,
008,868,522,211,655,025,927,300,043,950,562,899,489,428,373,579,983,822,886,
384,454,375,003,025,149,782,133,665,063,771,163,776,260,041,956,250,658,449,
793,827,681,622,349,783,197,941,008,375,983,608,765,824,963,154,286,447,949,
593,488,311,261,646,007,058,718,331,838,606,582,881,200,103,705,218,690,529,
038,756,339,628,658,452,759,415,890,663,700,041,978,195,289,785,118,402,080,
045,252,991,454,180,196,268,438,761,773,194,156,024,543,825,215,092,210,992,
653,455,293,178,044,896,024,300,411,836,807,994,323,909,969,063,572,437,528,
084,895,604,472,293,859,413,053,293,990,283,090,435,017,725,289,268,394,793,
886,744,192,197,215,346,941,136,362,654,964,605,251,174,652,641,924,201,478,
207,732,735,936,924,037,535,884,388,534,784,047,612,890,845,498,214,106,916,
847,611,932,003,606,392,732,853,749,598,402,621,833,487,251,789,362,083,708,
102,707,165,869,984,351,033,665,319,308,321,644,765,027,925,059,231,539,515,
258,095,299,648,896,311,760,883,694,144,177,678,733,722,588,375,824,687,547,
621,489,670,422,721,679,223,952,373,940,172,363,248,294,271,665,643,805,584,
450,814,187,115,608,912,622,972,242,927,943,158,998,180,314,011,657,412,843,
881,433,697,062,004,924,070,550,947,696,421,987,580,333,086,928,380,047,745,
344,613,273,432,463,470,457,032,511,402,348,691,755,255,182,765,413,677,803,
089,317,970,872,573,362,736,437,173,404,686,970,260,291,415,121,113,965,292,
347,341,197,813,020,907,116,262,768,445,542,358,652,368,631,464,621,109,298,
765,459,027,215,865,214,197,755,251,060,783,725,884,683,829,744,710,258,848,
863,394,709,936,480,502,775,582,286,093,070,182,208,604,117,853,223,010,908,
057,771,929,170,184,553,566,493,823,976,243,612,413,369,231,964,288,676,863,
340,531,898,532,891,407,149,005,083,545,006,511,507,092,200,757,535,556,473,
725,110,312,665,210,476,050,259,771,004,211,634,836,784,135,035,795,442,981,
406,540,384,778,293,600,642,792,087,119,909,774,525,148,294,500,401,354,328,
803,271,501,977,380,114,019,995,378,435,245,829,546,969,034,526,347,803,331,
752,115,275,467,491,743,674,119,425,390,571,497,098,951,761,263,911,214,384,
650,008,772,911,791,503,077,320,029,786,304,461,803,091,875,453,981,833,448,
553,599,668,818,564,747,210,917,485,058,512,206,041,563,988,976,807,356,698,
604,464,083,646,245,414,884,241,316,176,168,777,245,990,565,348,550,235,410,
713,808,075,586,039,559,195,502,122,183,807,205,311,261,488,798,646,364,459,
828,208,743,025,040,411,586,285,371,610,099,553,138,386,605,118,372,421,961,
180,965,985,654,588,458,704,915,884,730,086,861,792,646,922,519,450,590,297,
080,746,181,961,285,716,814,617,933,437,387,846,467,692,611,906,326,636,123,
548,798,160,325,645,151,135,751,951,605,523,163,948,124,004,594,706,010,894,
796,559,694,231,332,800,904,851,698,142,931,492,020,273,238,047,858,131,771,
941,594,243,580,286,745,031,878,226,235,933,426,054,270,916,940,057,906,170,
204,433,126,095,516,689,004,249,830,373,188,334,957,972,693,124,466,345,585,
889,407,486,736,265,032,419,223,651,084,049,758,664,505,318,102,042,419,923,
531,569,499,025,717,079,575,540,712,735,384,507,731,320,895,476,834,734,846,
893,515,524,718,519,663,829,911,018,269,366,946,389,368,022,208,288,431,481,
961,253,259,591,526,398,761,497,334,126,231,185,999,849,285,015,286,274,960,
976,484,872,238,212,601,442,648,515,014,145,049,869,800,143,429,108,481,652,
293,322,835,938,252,488,320,779,566,661,578,656,078,589,322,845,818,457,739,
599,634,218,021,545,018,699,320,469,521,705,181,618,661,918,705,204,181,787,
011,482,162,799,013,239,336,286,637,556,545,926,021,794,904,902,749,675,895,
400,378,301,715,589,341,321,433,744,880,285,498,254,627,823,527,477,120,191,
887,768,763,601,141,086,196,096,446,635,509,519,636,135,493,225,338,216,806,
187,297,060,583,173,114,374,459,858,037,843,831,938,331,319,446,702,741,808,
265,102,702,154,973,907,588,682,505,117,595,984,518,533,615,484,482,946,451,
316,946,221,300,310,907,696,428,582,687,341,137,714,218,231,673,474,358,235,
359,601,609,283,876,396,861,456,028,841,321,403,493,327,585,178,337,114,951,
717,497,551,672,952,678,411,767,469,659,510,815,645,741,924,467,031,815,864,
200,448,530,996,900,008,628,009,576,501,175,093,173,140,006,431,989,000,509,
684,254,723,500,256,639,241,517,356,640,295,270,096,440,140,187,324,952,305,
662,350,514,958,610,437,475,236,655,954,799,132,898,934,551,604,375,612,229,
413,564,571,681,937,429,532,148,237,435,069,386,015,102,377,048,065,624,544,
476,592,012,950,599,697,863,337,651,016,047,053,173,363,347,944,964,472,430,
431,740,657,606,018,612,378,016,183,812,369,157,937,072,819,772,627,944,974,
285,606,403,660,125,103,900,755,702,068,788,347,560,111,292,569,843,092,146,
817,429,747,958,092,035,196,703,431,095,244,108,849,996,829,351,580,500,530,
518,266,010,085,015,312,031,239,117,756,262,941,068,753,509,155,441,097,714,
550,815,707,539,482,846,634,291,873,065,749,267,497,933,669,568,658,714,886,
183,305,569,502,842,277,774,158,063,095,731,688,470,103,928,568,242,766,371,
402,011,547,711,022,222,496,405,201,967,989,052,218,326,926,184,102,844,867,
773,363,244,569,345,211,271,948,882,368,223,019,990,352,861,458,788,174,801,
518,723,347,182,526,217,614,163,502,913,832,812,321,027,443,263,543,330,054,
483,479,477,962,067,214,326,037,261,443,956,863,613,716,280,204,432,225,114,
884,697,061,413,484,734,985,762,663,324,716,268,216,459,869,347,446,424,097,
375,590,327,170,470,676,019,050,148,424,790,184,676,686,860,855,518,561,034,
251,144,469,958,042,579,426,616,233,199,585,724,634,269,839,300,302,374,791,
432,819,441,594,711,277,706,212,617,593,998,600,293,991,192,413,356,141,992,
411,255,408,572,601,520,986,302,622,198,833,448,269,276,249,848,779,738,367,
628,551,511,583,219,882,354,194,637,247,393,476,132,445,312,372,234,860,365,
008,440,134,084,090,590,238,653,153,706,726,846,347,628,231,660,184,212,675,
256,010,496,523,339,021,391,205,393,434,302,683,978,452,159,494,804,819,568,
711,487,715,209,856,645,829,905,547,383,791,560,638,495,672,039,101,626,967,
392,277,655,596,570,786,968,591,929,248,303,315,338,240,022,538,523,383,234,
313,628,160,869,234,737,832,070,879,752,989,574,653,864,867,845,922,765,563,
543,726,462,163,771,820,020,874,578,880,582,824,490,591,496,420,908,295,191,
362,064,344,409,535,126,591,261,260,765,759,280,657,914,373,130,375,807,363,
787,317,929,018,194,440,832,343,801,699,216,253,729,255,335,494,980,245,153,
658,911,682,701,023,718,084,408,393,355,091,261,790,903,246,826,169,410,930,
945,945,322,744,118,816,835,031,083,075,988,559,891,274,409,207,392,357,423,
437,852,288,171,474,586,569,229,539,690,811,730,067,313,617,677,213,590,236,
561,629,042,690,758,239,925,445,574,230,391,631,179,272,717,611,804,514,496,
768,827,150,654,017,514,887,812,772,889,667,269,587,129,449,609,850,814,746,
539,385,576,375,381,559,455,405,735,748,498,336,619,998,790,780,137,815,100,
731,187,957,389,079,096,660,085,118,312,861,373,712,867,984,981,909,283,925,
984,829,599,286,087,924,072,351,988,878,440,548,521,880,191,975,618,428,103,
780,550,218,398,031,442,845,698,191,962,019,041,124,456,988,325,945,023,014,
028,230,310,800,115,163,801,946,752,798,480,593,098,776,951,063,060,802,562,
739,929,551,944,808,317,521,701,205,004,759,996,820,277,442,322,023,053,530,
168,321,302,562,774,396,711,116,390,512,962,349,745,907,878,945,232,305,835,
758,276,973,835,420,268,084,889,902,713,186,424,373,897,141,245,628,494,382,
670,817,360,511,535,806,694,048,679,379,591,915,861,211,904,902,157,554,718,
496,206,446,333,330,325,264,183,239,546,084,654,250,277,504,702,341,115,331,
786,442,341,288,191,182,672,198,296,377,233,713,892,470,129,430,123,625,443,
641,713,147,466,034,066,047,242,077,349,002,299,585,575,360,614,156,192,856,
958,229,773,838,903,186,525,216,700,228,778,368,355,072,730,021,906,654,877,
620,846,984,545,781,609,840,595,423,054,256,529,642,143,799,892,375,553,075,
060,762,067,843,512,805,630,443,560,009,145,259,478,193,501,876,275,013,573,
930,345,974,177,205,768,840,844,606,976,453,296,621,255,203,318,724,579,144,
116,905,308,554,209,734,414,932,167,204,788,371,283,388,786,869,863,293,489,
894,309,696,552,441,925,574,369,041,963,889,884,701,363,806,580,833,146,205,
645,406,119,243,651,350,642,825,112,714,572,472,263,048,893,890,377,172,942,
056,471,782,063,002,609,471,968,125,231,294,109,994,570,468,814,226,035,052,
248,612,844,062,875,851,927,574,236,312,315,274,071,115,972,633,372,827,836,
324,312,571,577,248,072,507,180,014,185,183,654,199,359,587,928,139,284,761,
357,268,927,100,217,721,644,159,902,820,918,025,954,722,737,025,241,522,061,
695,565,127,767,238,748,557,790,724,864,334,288,563,063,360,786,403,638,353,
885,381,650,510,179,690,256,250,097,723,517,536,225,042,018,282,026,315,970,
035,422,935,031,687,810,381,770,153,426,683,015,768,997,848,046,352,512,203,
222,982,382,403,658,227,583,491,357,265,554,039,422,970,094,127,900,691,013,
071,759,687,614,354,262,508,002,047,593,575,430,376,052,309,713,844,882,496,
875,838,214,745,203,634,236,236,730,874,263,174,748,385,642,160,106,531,365,
211,474,918,681,434,418,634,879,001,837,468,850,715,835,213,719,077,258,004,
612,360,735,310,144,081,274,638,299,951,024,295,351,646,864,989,235,216,896,
426,355,631,476,059,270,953,170,700,314,665,379,369,993,978,711,877,891,012,
103,674,250,902,020,535,570,887,786,254,389,409,819,947,900,843,700,192,205,
102,441,705,470,773,211,955,696,047,066,289,838,950,038,675,081,016,568,126,
028,445,928,522,208,294,687,648,763,764,264,815,838,783,762,657,572,083,513,
136,860,594,104,638,109,150,681,365,085,844,850,851,719,908,411,169,635,200,
275,960,248,869,932,455,145,571,342,561,787,428,796,982,903,430,637,205,864,
826,958,404,392,048,760,819,380,552,345,492,505,523,016,560,078,035,791,000,
783,639,563,192,282,674,148,578,685,945,730,005,982,691,218,000,926,288,106,
700,941,692,895,756,635,300,375,823,345,284,355,950,168,274,784,314,050,036,
118,743,568,626,335,272,574,438,278,476,081,146,497,166,119,668,531,736,947,
892,531,734,196,180,782,092,914,944,658,669,758,702,338,331,388,147,396,204,
104,538,531,919,777,918,744,154,000,369,125,926,735,450,648,566,167,815,328,
303,349,707,995,035,571,820,362,036,941,026,854,567,160,194,887,140,436,755,
627,899,068,594,563,984,481,886,127,018,040,778,567,455,853,106,328,207,404,
731,420,405,342,973,229,164,322,493,434,405,152,514,732,775,034,264,331,759,
276,104,503,577,747,504,607,546,985,936,084,869,161,184,496,988,258,657,053,
440,059,619,330,744,692,956,209,600,652,132,299,521,258,727,743,366,876,913,
111,173,966,710,327,059,425,585,529,461,240,458,557,592,861,796,768,926,091,
408,183,489,265,606,331,553,140,557,735,798,498,923,387,472,527,308,802,293,
013,183,500,229,960,166,257,584,494,285,876,997,207,660,840,789,910,854,438,
248,027,668,837,297,364,974,825,609,155,584,731,172,489,198,498,218,428,620,
213,633,092,731,478,478,694,618,994,999,583,620,889,372,142,282,499,623,725,
907,979,199,905,325,121,072,378,593,873,665,261,024,778,606,318,076,637,352,
835,708,557,803,126,734,984,918,470,252,045,029,342,830,385,343,247,899,367,
363,934,641,540,847,717,454,605,069,413,750,911,743,286,094,270,970,990,253,
652,441,711,203,715,554,739,378,837,924,881,454,919,923,482,571,857,441,873,
521,613,364,654,781,704,054,133,066,313,922,632,341,251,468,801,192,513,275,
097,538,496,176,232,554,211,135,226,243,669,654,467,677,511,938,992,080,944,
069,449,099,079,617,774,973,784,429,813,700,262,716,153,843,083,744,289,606,
668,926,733,546,513,961,946,285,499,530,871,639,296,185,546,848,455,192,043,
360,230,678,934,541,454,961,175,219,065,226,328,152,365,786,430,837,178,543,
285,980,997,077,001,470,996,790,208,563,138,462,881,506,209,385,529,059,383,
286,231,958,836,032,125,441,577,749,756,655,739,088,910,584,542,344,643,556,
337,082,472,398,981,866,423,104,711,261,166,637,391,513,140,734,240,134,045,
677,057,525,919,487,072,392,212,470,107,329,517,048,121,656,968,508,853,527,
560,831,809,066,072,298,557,949,835,221,821,438,584,457,115,498,749,129,624,
388,762,657,019,006,419,442,424,366,502,146,192,067,762,049,693,329,911,912,
451,993,919,773,114,765,175,457,540,286,946,391,418,813,193,903,493,391,347,
370,294,221,598,912,149,821,491,802,125,452,370,310,667,826,937,723,987,039,
755,150,691,608,720,894,168,927,804,694,799,125,460,294,653,765,052,797,334,
189,004,565,283,227,303,808,121,126,900,622,123,227,110,347,817,778,071,340,
266,663,250,211,214,151,718,081,328,107,868,060,199,345,822,609,683,713,981,
771,224,348,099,193,136,233,260,586,624,222,496,713,498,748,929,073,149,461,
932,205,058,102,690,615,406,098,554,186,406,642,205,970,667,310,111,584,417,
769,124,413,459,055,418,107,514,306,656,700,699,383,752,122,669,384,829,316,
831,567,093,305,230,147,500,062,154,343,908,582,227,597,492,710,466,050,207,
020,190,507,466,911,105,126,440,147,606,592,860,793,361,295,045,467,175,558,
347,507,455,917,294,289,319,313,119,122,026,215,503,674,692,021,814,122,143,
982,010,133,031,488,194,080,267,600,308,532,464,654,472,662,140,548,378,920,
784,032,996,905,426,217,098,894,555,230,609,928,881,884,694,759,913,641,628,
089,115,423,359,749,042,242,026,673,885,282,922,448,904,578,483,622,024,343,
569,735,841,859,459,129,704,692,505,285,410,674,209,177,085,029,365,824,744,
604,865,047,371,141,880,084,596,688,721,152,375,498,412,957,300,979,962,493,
319,442,015,918,384,559,889,334,331,980,852,770,343,498,397,244,658,819,407,
352,682,941,785,861,943,662,394,742,540,240,776,680,578,807,794,328,669,613,
195,728,169,116,704,722,042,895,200,146,692,142,315,893,393,157,239,422,736,
960,741,875,845,811,053,650,199,696,381,590,757,575,337,984,353,808,993,604,
372,244,621,080,414,126,538,649,269,278,376,485,088,100,289,545,676,156,649,
795,473,461,686,843,958,907,591,836,680,345,144,351,456,277,973,939,136,479,
799,292,277,352,025,331,681,609,654,917,394,326,769,387,402,081,868,127,795,
589,661,195,792,215,187,706,063,751,784,812,966,719,479,075,333,363,500,866,
336,070,248,729,136,567,258,854,823,488,543,920,617,619,442,041,001,685,890,
666,241,511,257,747,434,999,569,758,542,221,117,764,058,344,492,428,600,748,
380,548,957,558,164,009,194,669,400,301,398,504,487,487,858,587,810,104,841,
766,905,696,713,813,240,975,073,678,833,078,578,877,889,128,729,917,786,514,
352,633,929,559,953,041,656,887,399,710,522,039,252,150,382,638,852,446,350,
123,535,790,795,320,197,540,022,371,102,345,610,610,426,166,059,771,329,860,
824,582,575,167,877,017,625,330,854,871,361,214,092,099,725,126,502,577,565,
692,324,174,708,622,552,798,246,771,470,942,836,497,386,989,853,186,952,866,
813,218,729,758,874,757,110,794,834,020,676,178,835,707,634,104,043,238,821,
336,833,617,945,895,608,191,641,502,623,473,699,745,304,487,768,194,333,286,
190,306,053,613,826,439,709,706,618,486,060,702,776,581,726,291,599,541,863,
583,477,060,930,533,831,096,203,435,780,466,547,355,331,088,969,463,496,888,
291,430,066,246,331,869,484,368,779,765,681,535,607,515,549,053,273,267,284,
574,205,229,291,430,813,512,475,146,646,463,314,398,482,248,978,380,182,389,
560,553,167,737,907,308,890,110,091,774,405,033,702,743,933,020,804,285,123,
490,530,063,573,224,667,355,726,384,774,046,183,142,976,044,706,743,468,199,
350,766,717,017,162,631,847,985,289,375,125,736,966,574,494,821,752,355,422,
577,921,770,954,274,623,585,420,324,140,917,308,406,937,517,144,319,608,344,
456,677,976,695,649,080,972,168,782,890,250,721,106,619,188,384,615,382,135,
805,554,396,252,225,184,182,193,922,568,391,667,867,115,517,495,040,096,392,
043,649,322,658,526,140,685,679,109,812,191,924,219,182,798,246,576,786,442,
420,552,738,707,005,331,325,695,782,137,027,936,110,241,875,549,477,781,073,
883,771,806,584,082,460,736,695,583,004,765,365,724,499,128,882,511,772,567,
263,736,746,836,491,495,509,683,752,445,529,313,005,789,746,615,719,594,976,
579,147,177,377,514,760,969,824,338,604,462,688,868,626,114,573,318,661,273,
016,159,137,837,869,381,126,546,591,942,520,921,119,415,069,042,621,628,373,
540,193,258,406,321,579,841,902,733,254,749,893,415,124,537,541,183,192,813,
537,694,941,923,108,170,129,201,946,506,992,696,845,440,188,429,974,171,410,
210,462,102,102,482,239,450,440,955,641,566,778,645,040,511,686,251,115,905,
004,278,941,661,171,698,096,998,676,922,891,559,020,450,425,880,877,771,520,
226,432,319,269,240,298,890,729,302,711,567,793,981,137,833,572,831,969,412,
414,526,960,134,824,179,682,781,080,400,266,403,652,229,248,092,677,347,565,
863,601,347,266,411,651,108,370,329,059,541,130,998,224,209,525,484,786,893,
025,988,548,808,050,715,117,002,376,265,025,479,280,667,242,741,461,218,563,
259,581,182,762,591,768,811,653,359,224,876,398,262,625,445,147,558,042,267,
976,024,600,544,864,239,830,729,213,614,890,000,521,300,825,598,486,513,326,
991,100,737,379,877,494,068,205,678,909,899,090,344,989,513,289,320,748,275,
544,244,337,186,476,890,388,973,835,429,355,556,060,300,069,996,333,525,172,
410,906,358,272,352,481,890,681,821,445,205,562,072,963,596,479,545,150,851,
734,167,647,733,139,263,463,399,158,911,930,831,828,005,417,946,972,567,954,
898,246,453,170,028,810,580,274,676,640,381,025,362,594,661,218,118,846,106,
978,893,765,713,506,074,866,769,094,324,704,482,863,667,753,061,164,890,808,
522,016,909,909,881,446,708,021,284,476,315,656,948,658,007,889,298,176,544,
230,622,293,677,405,560,114,660,316,928,017,684,813,386,087,594,862,046,799,
527,021,214,922,077,465,517,115,547,354,224,578,793,845,375,390,312,501,516,
589,741,092,363,311,677,914,181,673,581,574,158,923,022,076,526,404,201,829,
288,795,812,175,092,070,962,130,969,280,245,069,808,690,563,038,842,677,335,
509,183,630,532,599,268,740,217,020,179,463,898,061,602,066,799,310,409,400,
354,191,308,776,781,774,005,666,415,040,681,847,460,672,336,035,314,634,017,
254,084,188,425,579,053,095,200,582,103,343,678,015,820,685,158,811,130,165,
149,088,833,753,349,056,239,641,312,679,844,237,122,010,662,878,613,397,508,
071,045,093,555,119,908,360,908,449,908,752,205,801,450,509,141,704,153,209,
012,562,203,048,624,937,373,980,350,506,920,013,851,921,613,903,015,454,989,
848,514,259,558,837,821,742,311,750,016,698,616,359,024,102,248,231,868,612,
583,658,064,383,111,434,492,801,936,259,335,711,514,418,930,636,131,044,075,
060,687,165,978,035,143,556,847,662,681,587,804,324,061,444,907,007,425,603,
932,975,559,087,562,983,768,161,699,642,399,088,073,369,632,857,868,054,800,
111,576,242,817,773,342,695,362,754,651,332,403,387,391,487,435,179,444,287,
263,219,629,590,170,169,727,570,415,197,217,197,129,960,637,426,443,708,981,
920,035,387,941,842,362,772,041,449,266,906,667,518,850,552,581,743,767,815,
898,099,344,608,073,389,894,839,057,783,696,427,808,804,092,302,088,053,374,
681,252,319,019,583,423,147,314,111,009,966,476,054,714,770,952,777,278,990,
445,028,730,204,135,702,370,377,369,038,440,341,271,006,970,981,333,662,846,
537,437,419,385,375,251,241,229,502,263,693,947,565,166,346,849,373,776,500,
396,930,372,467,052,885,727,248,310,549,705,770,339,829,671,966,606,589,635,
569,994,138,135,437,318,132,306,558,215,103,234,424,069,253,200,813,413,643,
904,267,492,714,022,123,306,913,287,020,735,196,846,246,512,913,608,249,997,
628,025,144,934,321,179,077,336,943,235,675,184,932,623,746,795,760,366,356,
098,879,339,776,358,073,266,561,127,754,480,398,252,188,238,659,370,462,796,
646,302,210,687,395,954,838,858,802,659,386,628,106,533,054,717,658,519,896,
458,654,026,697,162,470,943,208,692,784,202,961,740,502,336,644,904,854,281,
505,376,551,108,783,154,617,159,346,696,399,323,887,585,451,221,803,563,902,
534,827,717,622,953,120,487,113,949,224,334,541,365,942,411,098,107,938,632,
506,535,815,291,038,185,220,077,836,115,999,499,359,095,782,739,061,540,100,
572,531,224,279,894,390,085,170,116,644,268,813,473,129,006,446,173,323,718,
206,587,616,046,045,082,786,056,457,770,061,181,931,267,594,401,073,450,856,
054,532,078,155,910,144,007,923,305,767,491,158,097,549,363,383,238,764,036,
756,685,732,288,815,731,760,028,162,023,524,219,733,036,722,349,553,569,284,
379,622,850,108,131,032,699,147,800,329,078,879,983,455,085,386,331,009,952,
654,139,473,631,375,212,594,459,429,823,208,007,357,018,540,923,341,046,281,
952,844,900,010,208,364,909,737,065,818,648,924,582,429,966,468,322,681,396,
660,863,570,831,229,824,607,523,215,567,540,727,464,084,559,863,105,744,409,
054,810,602,948,804,575,995,257,495,144,635,637,067,111,821,961,846,376,068,
062,067,173,966,235,614,229,508,234,919,999,000,422,539,569,529,642,194,229,
442,835,977,967,427,969,787,254,297,072,548,388,559,916,734,384,974,746,332,
627,157,488,167,940,155,700,881,907,855,079,679,429,721,757,774,131,488,352,
299,307,695,955,937,576,580,507,341,976,200,555,933,009,937,341,331,427,709,
319,574,506,727,409,605,571,952,921,221,570,930,766,749,823,687,076,683,233,
723,394,538,722,447,484,944,395,147,490,735,054,748,975,190,695,276,514,325,
722,341,822,088,561,761,208,848,749,581,567,900,538,238,274,806,581,405,607,
357,715,674,104,783,277,969,481,947,120,623,548,358,023,716,950,801,090,948,
974,720,579,933,183,019,829,497,897,071,311,710,956,478,117,215,071,383,125,
801,514,065,932,436,994,671,900,898,197,132,170,876,620,038,043,397,274,640,
649,634,223,746,833,915,241,746,006,183,351,096,846,344,098,274,849,228,807,
516,010,451,673,078,982,709,807,993,057,243,026,604,728,594,128,118,791,009,
587,667,762,453,606,954,422,208,339,098,636,752,167,288,502,103,641,790,062,
265,610,935,732,296,870,765,215,048,638,837,746,370,811,674,755,228,221,148,
002,474,742,706,848,941,959,194,705,754,391,728,585,849,406,934,496,385,900,
096,741,988,528,819,330,080,496,025,030,008,037,130,925,968,308,054,698,538,
731,736,225,199,743,877,069,123,401,319,316,616,172,947,356,913,379,912,783,
571,138,071,644,162,872,702,962,366,315,417,677,909,644,836,221,148,521,816,
707,990,692,426,623,838,850,024,384,006,580,491,924,142,998,971,828,511,296,
752,018,903,092,248,210,156,251,483,668,994,653,137,840,837,887,194,769,382,
680,141,417,304,636,793,477,219,069,571,871,872,365,136,599,244,143,685,379,
624,143,933,461,324,740,552,547,877,041,533,239,110,691,162,420,021,495,329,
326,613,219,455,469,002,126,463,863,250,369,459,461,883,786,963,821,044,137,
062,387,874,286,104,682,745,704,180,995,734,155,496,673,842,007,064,743,834,
574,925,287,579,595,479,561,464,200,394,345,122,680,579,095,172,728,036,647,
339,382,760,293,777,925,212,650,211,581,034,333,400,733,326,656,404,187,594,
941,619,597,489,820,569,109,266,209,032,839,873,479,582,788,671,514,518,652,
696,353,760,533,933,853,238,675,665,786,533,802,084,080,734,553,930,305,570,
184,145,162,259,403,961,429,644,848,160,124,667,268,165,473,176,497,601,075,
904,496,935,862,910,033,334,287,928,177,220,937,284,554,202,871,902,185,904,
775,088,439,449,123,932,723,598,184,931,954,119,953,778,200,376,416,712,405,
829,025,257,786,602,643,988,122,051,105,594,860,060,935,589,453,246,171,094,
716,131,149,583,897,708,478,034,262,868,961,561,030,732,382,226,849,595,381,
174,288,468,839,423,997,068,274,546,278,132,165,890,605,676,060,151,236,977,
720,939,698,145,130,835,735,414,741,326,050,758,789,557,035,987,969,851,863,
934,986,322,861,296,419,147,114,514,224,410,197,343,986,055,425,405,086,478,
109,369,020,715,227,535,163,552,234,849,621,690,711,163,321,267,966,290,286,
145,125,648,690,840,098,466,073,642,801,500,808,798,114,963,246,842,572,226,
826,575,730,919,958,389,028,224,579,248,197,849,448,998,129,873,738,809,297,
567,115,832,632,490,378,204,157,708,229,031,367,365,274,268,802,329,849,701,
184,568,944,595,496,857,261,571,217,820,799,000,815,678,662,863,912,472,211,
213,437,609,085,925,238,365,663,716,811,106,268,326,341,003,232,925,833,381,
632,827,220,024,480,951,960,932,099,796,150,105,351,778,797,557,674,112,882,
092,478,415,768,925,658,055,816,728,233,931,678,387,552,951,441,304,754,247,
211,089,655,402,175,642,951,491,493,851,337,794,659,152,301,069,882,872,012,
550,747,572,273,962,351,132,003,292,614,626,813,977,625,167,005,296,831,391,
996,191,714,676,713,677,947,632,931,783,087,621,372,343,984,781,287,409,706,
594,748,135,851,906,399,347,211,818,397,225,936,814,619,041,856,574,372,365,
959,372,718,528,772,117,783,324,924,603,209,305,700,678,740,981,370,466,296,
775,975,278,813,445,154,142,492,824,951,297,134,464,236,838,976,629,606,260,
331,643,831,647,882,601,286,580,528,011,259,354,973,912,832,865,369,685,311,
949,703,309,177,054,684,171,962,433,319,949,601,019,128,634,809,977,346,430,
058,912,516,608,092,841,785,797,747,166,302,504,166,537,993,557,770,714,363,
111,030,946,701,061,418,805,967,015,170,288,942,489,083,615,919,114,390,127,
918,232,782,031,916,932,233,704,403,793,853,338,765,263,217,913,962,384,246,
585,323,044,029,384,778,309,389,781,166,141,716,848,216,052,656,867,656,614,
958,198,258,777,833,569,419,316,890,388,619,486,156,757,559,164,732,673,548,
492,085,871,855,296,867,516,901,084,418,275,595,922,015,319,396,125,744,172,
878,707,217,610,803,654,949,630,539,376,469,669,983,982,208,895,310,914,218,
234,775,505,230,855,197,180,499,511,820,805,740,558,189,640,496,619,151,425,
170,816,636,917,062,484,765,437,450,658,397,080,297,577,591,832,915,808,949,
756,141,956,330,237,734,651,736,148,595,970,394,587,010,291,246,528,147,830,
085,879,648,346,480,230,045,463,925,349,980,794,408,742,012,392,343,202,640,
081,342,655,356,780,229,323,235,898,093,077,835,262,068,995,250,616,183,240,
423,595,195,332,128,831,929,980,081,829,592,343,311,068,564,001,611,513,367,
302,159,280,265,157,980,754,372,333,193,658,347,648,208,804,929,489,956,455,
547,524,159,566,165,313,992,798,469,579,440,867,934,787,053,430,716,520,704,
730,064,385,354,861,338,082,760,242,089,814,196,090,272,853,155,184,142,888,
701,464,668,019,430,127,020,484,647,410,924,684,760,887,824,821,315,699,258,
317,827,432,606,026,142,714,566,110,668,691,646,763,919,577,629,598,368,572,
519,291,133,516,263,087,285,229,277,248,980,289,995,101,973,178,876,825,845,
513,994,897,611,369,778,331,257,662,964,750,033,313,893,824,846,735,675,731,
706,682,178,566,451,122,845,100,467,566,214,509,725,446,805,659,476,294,241,
797,600,037,535,347,812,226,614,678,253,537,803,596,651,474,498,741,850,400,
204,473,920,390,644,317,965,208,826,167,051,039,146,698,529,623,816,056,321,
830,674,256,871,624,099,729,095,532,954,184,758,499,652,440,798,440,845,446,
625,774,662,424,422,289,303,600,776,278,064,332,125,106,128,985,923,271,073,
726,241,874,854,093,860,455,924,587,071,477,438,408,851,959,344,280,656,434,
958,768,374,068,124,037,320,525,040,567,528,967,747,349,867,430,877,020,038,
836,840,098,643,649,113,879,263,113,989,721,485,919,395,758,303,237,130,957,
116,112,327,340,040,801,787,321,492,720,029,063,103,918,902,790,222,862,848,
219,649,841,250,505,059,269,952,846,609,210,864,586,464,477,910,257,675,392,
488,689,618,197,097,442,280,958,374,282,254,283,221,347,280,539,883,007,497,
576,398,311,657,132,644,347,265,530,485,765,308,678,557,120,386,291,434,533,
364,275,535,081,502,086,909,076,692,187,101,898,503,058,662,642,565,668,155,
396,776,554,848,295,265,217,402,482,970,637,927,451,796,642,300,925,620,766,
350,104,900,414,288,487,720,880,266,830,272,148,160,119,142,701,183,556,445,
755,536,338,590,265,965,819,858,812,204,973,292,667,689,366,666,328,525,741,
106,378,134,203,778,548,948,823,388,549,843,867,143,705,832,514,817,787,063,
591,842,393,308,319,178,835,980,104,419,114,048,970,667,510,115,196,818,438,
061,278,324,476,246,700,200,212,354,184,818,895,063,327,681,649,656,053,433,
890,586,113,693,833,367,646,828,766,479,307,519,029,457,663,344,003,311,604,
605,412,443,996,505,721,244,910,253,208,947,945,390,795,575,898,551,733,776,
527,440,608,543,378,656,339,402,432,289,252,073,331,219,815,400,877,832,058,
579,090,197,908,026,958,055,495,730,520,587,760,444,110,300,104,844,599,523,
019,093,163,043,845,342,395,520,517,651,395,032,577,416,421,512,960,330,938,
595,453,585,894,900,922,616,256,351,772,831,704,839,515,555,828,939,412,789,
447,362,163,627,239,349,225,947,436,905,211,467,380,581,944,019,147,008,999,
033,652,703,757,063,640,311,801,247,337,963,526,013,579,276,233,003,878,134,
782,419,744,498,635,768,928,537,460,767,506,224,615,417,078,085,327,712,480,
908,614,510,428,752,011,588,806,940,051,552,848,919,154,898,806,777,013,414,
282,185,723,799,839,224,036,636,836,153,409,138,842,411,091,763,465,514,243,
959,145,698,496,152,960,936,030,215,661,584,876,914,372,185,077,602,964,456,
567,401,694,223,034,120,666,411,848,807,204,072,464,166,234,242,853,923,065,
964,695,262,125,404,474,125,149,866,423,946,770,142,080,602,443,499,859,655,
423,061,938,508,220,023,184,892,887,569,875,864,567,424,480,537,204,335,053,
924,912,009,179,155,863,289,820,656,460,155,463,518,746,734,187,891,853,388,
691,216,378,405,444,370,368,176,120,591,030,109,325,688,143,759,141,655,346,
486,202,132,644,780,176,416,883,376,987,028,611,318,576,747,321,183,986,811,
840,659,680,478,784,348,873,933,968,498,633,850,999,515,882,327,028,209,822,
693,940,505,092,576,118,309,786,072,065,419,619,286,265,192,633,852,588,401,
375,601,353,536,667,137,416,639,335,628,299,202,096,156,268,275,695,482,610,
630,303,269,113,254,650,345,681,397,459,424,334,203,632,080,678,718,248,180,
138,999,021,740,032,244,715,204,330,461,515,117,319,596,521,515,232,196,409,
027,159,691,938,412,341,733,253,983,553,747,898,255,516,850,743,654,020,467,
000,969,711,018,469,033,288,463,708,249,359,715,504,250,266,683,060,365,602,
223,666,323,395,253,305,325,513,758,778,075,046,813,641,211,557,127,939,266,
498,537,801,220,283,918,815,088,075,494,431,286,278,159,997,239,853,407,010,
838,387,921,171,281,616,164,769,342,055,626,897,328,785,489,022,600,208,022,
520,231,486,017,830,771,421,254,612,193,707,190,495,401,716,243,065,151,310,
381,228,423,993,376,486,959,587,047,852,005,432,826,958,095,606,444,197,530,
945,807,396,827,815,214,338,074,426,445,976,038,334,440,225,384,631,031,663,
387,115,572,045,300,056,862,800,971,976,094,058,222,836,165,985,197,425,880,
693,839,361,594,235,079,813,900,270,790,102,247,330,564,232,003,926,077,339,
650,309,038,430,169,872,914,035,562,304,266,433,707,755,004,864,452,211,581,
292,628,928,180,645,000,532,224,202,418,789,380,822,301,180,467,275,409,835,
732,521,443,694,166,057,780,809,740,858,411,984,948,100,561,141,228,502,835,
153,508,378,419,921,987,652,874,305,217,830,916,033,651,057,979,477,067,501,
081,576,665,168,684,890,641,065,940,555,903,605,667,651,203,332,695,994,323,
839,138,889,305,476,787,368,818,329,590,119,450,986,238,744,757,077,058,425,
544,363,156,086,787,353,901,156,865,863,467,816,424,983,364,183,859,206,324,
091,281,314,640,873,797,711,214,127,383,436,706,388,055,251,470,435,209,215,
232,244,857,087,704,461,934,721,801,460,663,092,534,911,562,138,340,137,053,
184,884,030,339,092,998,176,576,767,713,858,781,876,661,695,754,843,974,240,
016,325,805,445,335,543,055,587,437,619,275,537,261,675,500,742,114,117,115,
707,666,182,607,447,740,072,120,308,387,648,952,403,927,635,110,239,792,407,
724,233,357,889,467,430,634,192,336,228,506,371,687,575,351,608,062,250,723,
855,289,455,649,046,001,128,732,614,127,444,344,586,827,135,529,477,186,317,
021,357,931,977,205,426,250,904,390,449,089,521,459,470,871,599,387,405,802,
788,314,681,000,591,527,120,114,382,026,011,018,574,339,293,240,961,981,586,
386,390,716,672,928,772,009,942,184,543,371,151,814,037,923,558,872,555,954,
074,871,493,432,918,787,419,200,709,117,043,497,575,116,612,214,557,508,903,
080,384,447,212,747,299,436,698,549,762,383,875,132,619,206,127,519,608,141,
976,883,109,197,992,382,737,937,876,686,806,108,175,943,397,476,056,213,053,
843,682,406,836,615,162,792,389,083,218,860,893,671,611,600,470,325,904,884,
591,368,489,230,973,136,610,335,869,864,679,434,031,910,732,665,696,429,625,
744,214,272,331,279,530,182,481,083,983,312,266,953,492,287,129,517,738,053,
830,284,124,914,624,574,087,503,710,201,995,927,706,881,554,075,294,169,359,
989,340,677,685,566,772,496,514,008,123,925,691,983,163,979,077,513,404,542,
678,945,433,626,171,898,326,440,111,190,525,485,561,275,899,213,239,138,347,
076,403,480,815,797,870,300,329,326,376,637,348,776,468,550,936,481,130,888,
876,890,568,502,942,714,167,639,049,870,736,115,731,704,850,396,559,796,975,
669,156,086,048,644,443,603,414,691,849,354,401,943,197,154,996,476,394,346,
441,668,402,325,791,449,011,667,696,651,265,835,891,262,345,536,485,445,788,
803,542,448,811,299,148,074,393,531,564,217,868,197,487,965,682,200,104,612,
018,492,483,616,549,474,513,939,568,822,024,835,969,786,567,682,265,954,059,
274,209,552,485,450,644,309,487,261,962,605,413,195,764,869,015,509,476,783,
762,681,929,776,420,288,218,975,130,368,606,325,937,156,786,128,007,528,809,
333,554,318,895,833,900,430,620,713,795,671,597,392,542,246,783,777,815,503,
178,311,294,468,350,137,800,485,579,790,724,368,720,703,995,741,103,426,447,
471,580,599,770,412,648,895,760,641,282,866,654,346,238,209,498,649,533,111,
765,016,238,843,381,183,141,345,940,798,811,213,765,707,495,550,560,277,784,
209,359,235,295,444,125,113,371,191,257,511,890,996,608,556,934,725,476,335,
931,218,844,120,347,417,687,507,413,425,563,937,866,788,888,619,989,008,515,
153,791,338,605,510,332,539,535,013,410,965,690,632,545,523,650,569,219,111,
562,081,800,092,232,370,310,283,289,872,647,390,098,877,696,186,522,371,824,
168,302,399,480,310,187,475,271,325,198,693,615,595,076,500,293,724,077,006,
125,709,427,479,902,000,070,719,562,818,600,811,251,022,137,437,650,097,379,
378,247,742,023,877,460,208,900,798,566,816,057,085,009,818,604,751,563,033,
197,437,560,634,288,449,394,472,699,556,724,052,238,853,604,739,205,542,709,
133,024,406,706,733,231,138,107,811,475,524,616,836,828,739,124,360,203,463,
558,400,068,123,826,532,667,692,910,577,110,301,532,904,069,349,466,131,413,
798,580,786,320,038,957,403,210,386,891,980,074,360,187,309,040,387,999,511,
204,650,984,932,645,257,541,168,220,285,968,750,141,001,359,499,484,218,196,
230,615,877,836,330,554,088,719,802,190,226,222,567,157,525,995,631,174,535,
121,876,663,245,426,421,818,199,233,079,582,172,408,146,032,808,322,466,620,
940,456,762,671,127,929,016,358,236,136,938,718,470,434,449,871,570,930,679,
799,731,265,862,471,935,408,356,006,977,554,161,778,780,509,831,048,242,587,
216,182,379,003,354,162,635,520,791,210,529,999,543,781,722,910,262,290,890,
611,698,711,604,998,426,472,080,740,552,919,881,679,048,187,036,946,084,467,
162,600,117,287,058,967,404,447,866,656,642,563,644,057,268,186,778,570,829,
235,371,650,209,957,215,071,055,690,184,612,862,321,189,342,934,770,016,921,
134,994,855,461,618,827,315,154,566,998,407,207,773,435,353,660,527,274,423,
059,957,849,853,882,993,458,061,122,773,861,557,419,498,066,952,147,624,552,
539,810,278,408,873,746,927,559,356,697,170,275,066,643,393,123,802,434,710,
352,289,976,778,636,184,020,239,233,513,173,633,355,893,324,862,245,217,845,
649,937,346,368,137,649,647,398,828,384,383,658,768,097,396,723,299,762,087,
195,845,100,482,760,283,894,445,076,011,833,685,953,413,167,716,218,032,213,
976,109,822,055,219,588,768,770,048,863,300,091,780,035,608,945,538,772,041,
734,128,396,467,100,008,596,272,728,358,089,274,030,977,695,764,655,937,484,
795,206,446,557,082,305,154,927,078,132,432,582,411,140,098,563,991,511,408,
505,665,513,889,557,985,892,400,320,979,790,377,056,705,404,559,252,399,017,
297,148,163,264,634,437,873,604,085,178,370,682,851,699,786,712,897,166,933,
770,575,026,940,283,603,762,242,415,555,980,339,218,483,152,388,548,834,987,
277,299,672,671,246,262,499,352,581,497,194,598,702,174,480,123,590,998,017,
574,517,049,200,065,913,954,279,380,121,146,423,327,921,671,322,861,513,744,
984,271,931,692,654,440,838,917,197,218,621,097,844,371,080,805,896,928,050,
940,023,433,303,656,455,264,557,225,416,777,332,235,771,944,991,595,695,571,
553,221,020,176,173,553,384,781,914,231,297,931,008,200,474,859,450,705,151,
029,635,828,260,195,948,299,224,360,948,696,258,684,759,665,102,890,982,573,
642,566,429,098,214,437,274,668,177,895,894,545,244,552,383,954,823,973,458,
185,389,241,659,976,440,254,263,584,159,048,101,368,231,127,088,531,040,421,
224,133,469,501,354,724,839,345,157,549,833,571,534,690,438,669,571,670,814,
279,039,461,147,858,506,692,070,253,715,934,959,727,905,685,942,145,756,002,
289,500,861,651,641,532,046,440,136,919,955,485,100,109,838,818,390,748,946,
589,787,867,501,751,845,954,879,579,607,254,904,225,714,226,214,553,522,580,
320,914,325,177,696,905,013,393,859,344,391,280,223,193,711,435,096,289,494,
364,975,604,843,760,060,061,014,306,611,159,045,148,440,098,877,809,756,830,
907,190,297,907,952,799,682,761,569,558,338,673,051,238,768,137,294,583,441,
013,884,508,324,450,321,114,880,498,139,511,993,700,299,690,283,454,135,641,
471,378,314,066,925,493,391,465,173,455,785,755,706,286,339,994,520,504,709,
030,370,742,740,275,233,859,605,069,701,724,244,841,333,756,924,615,776,848,
703,664,932,318,214,908,387,177,800,404,926,254,131,205,885,180,330,616,434,
227,178,872,334,437,473,684,740,350,860,134,064,222,061,589,825,494,553,572,
426,954,793,358,162,718,444,734,832,434,162,100,197,973,564,044,917,944,210,
472,370,876,389,460,906,868,965,306,371,866,059,392,010,148,469,932,452,419,
300,089,258,399,106,678,784,433,180,365,876,285,484,368,717,732,684,063,938,
187,246,794,923,886,983,844,838,635,442,544,061,302,761,191,010,805,362,290,
730,517,610,330,981,798,901,379,594,616,494,073,781,264,598,185,633,629,974,
359,508,685,620,791,299,021,345,536,139,075,351,468,745,237,379,049,639,859,
951,413,509,390,616,885,301,679,420,293,939,002,230,106,770,625,619,560,767,
438,777,264,033,631,195,711,434,616,726,471,963,674,896,288,569,077,729,483,
406,056,786,703,802,605,186,949,688,564,569,082,343,787,211,541,940,492,235,
040,217,312,217,472,375,886,090,385,608,025,374,245,502,828,961,291,104,097,
926,461,242,199,513,248,307,579,428,911,646,772,086,203,039,583,896,993,139,
472,894,419,486,413,461,639,102,496,398,207,888,635,424,869,083,401,146,630,
172,112,080,573,063,217,056,727,433,583,803,678,687,703,494,545,191,116,461,
918,422,533,085,980,571,947,529,202,632,153,970,335,916,760,819,441,393,316,
578,337,703,405,147,483,152,288,847,345,436,960,943,044,808,646,443,573,920,
311,667,668,754,878,497,950,420,497,444,255,968,177,670,416,043,191,116,252,
254,104,523,893,228,668,593,398,583,618,802,538,153,711,203,964,810,804,512,
750,153,761,069,647,969,715,933,545,469,668,100,159,872,272,659,683,748,974,
539,187,913,172,893,456,133,559,733,811,377,680,806,476,605,872,105,375,626,
905,062,196,162,067,291,636,627,762,999,866,787,022,425,384,893,349,372,891,
088,106,323,846,849,968,707,202,159,104,482,308,367,900,680,632,712,553,612,
407,796,455,197,533,915,392,883,580,202,368,101,947,210,505,538,997,537,255,
399,088,710,861,279,333,964,425,839,352,942,065,886,475,714,612,343,998,621,
792,028,600,795,303,150,979,374,182,393,720,655,605,486,857,155,214,994,206,
418,689,161,975,459,545,970,551,042,152,211,580,879,917,858,652,603,791,567,
536,980,833,265,731,593,277,116,603,856,802,303,268,738,605,157,456,292,069,
303,572,240,444,913,145,781,204,132,962,819,149,466,183,343,865,283,497,188,
341,672,046,876,809,379,459,231,596,885,061,634,591,746,114,503,473,025,889,
283,629,658,314,583,140,644,211,200,113,228,860,489,994,293,604,186,972,862,
253,758,151,627,656,015,223,804,678,771,312,690,624,954,241,647,784,960,178,
774,096,670,194,665,783,711,367,366,227,928,175,994,385,232,220,371,826,464,
424,622,399,808,074,230,338,136,154,169,606,665,232,597,841,207,021,283,630,
812,209,875,224,087,249,756,419,194,435,575,011,792,956,078,163,489,386,080,
656,882,946,079,180,789,891,856,338,651,238,843,020,802,139,199,725,602,300,
583,644,775,999,938,178,009,852,145,022,928,468,121,757,778,190,902,803,469,
687,694,635,358,051,654,266,764,391,250,669,649,548,436,086,482,662,572,310,
413,656,482,157,674,138,767,298,920,056,829,630,211,142,324,721,139,621,284,
694,663,458,259,195,181,735,108,210,862,110,306,266,508,891,713,393,659,945,
968,726,200,982,816,941,872,086,558,325,171,479,485,425,932,818,455,254,606,
094,594,593,697,140,838,007,409,984,584,948,540,887,675,431,447,637,111,242,
362,958,739,268,834,553,467,243,439,092,941,724,634,695,540,499,875,379,546,
058,346,425,929,267,762,527,099,548,345,101,120,158,408,281,877,624,850,582,
576,800,505,544,680,595,063,521,893,360,076,452,962,738,937,563,910,307,339,
265,383,118,980,093,746,401,216,697,055,240,304,925,776,470,398,398,281,399,
443,754,900,084,422,029,491,748,251,327,247,446,097,678,922,932,164,430,408,
525,105,789,426,433,435,955,427,558,307,554,418,573,747,725,265,880,622,423,
816,883,526,155,393,285,626,273,859,421,355,880,525,473,882,846,250,159,056,
879,779,088,758,279,329,849,803,803,726,573,593,639,945,641,896,358,644,511,
705,194,051,179,292,154,801,305,147,180,675,207,056,071,243,054,656,905,333,
911,241,247,002,154,606,431,201,281,177,880,765,755,634,161,177,350,225,990,
707,177,600,219,513,151,669,205,733,954,350,510,293,128,454,377,766,483,182,
147,833,658,092,369,561,684,653,375,535,721,837,405,512,369,126,614,695,879,
834,868,690,252,772,842,686,725,115,236,377,661,324,539,755,009,602,945,824,
855,487,551,061,068,892,580,940,414,813,162,180,570,260,511,234,488,773,560,
898,147,969,946,243,064,684,813,137,924,742,254,340,858,869,429,360,468,528,
965,677,397,803,763,350,910,605,282,724,160,347,309,208,873,219,959,944,590,
593,847,267,419,313,852,872,655,800,475,976,612,598,414,588,657,817,736,239,
250,533,888,386,389,014,071,971,088,261,483,004,240,613,199,125,387,242,170,
855,018,063,594,322,136,357,942,641,615,287,502,915,697,498,834,147,086,233,
154,985,057,304,356,542,635,552,659,787,458,784,719,490,461,888,170,373,026,
506,818,585,894,875,451,722,365,936,632,742,819,915,752,492,624,407,927,678,
748,322,491,928,605,748,536,415,139,753,546,185,803,418,629,730,764,702,750,
106,873,864,281,076,431,776,259,208,855,008,204,958,331,840,283,909,361,691,
486,626,955,027,337,601,711,376,475,954,753,166,958,421,001,865,411,181,873,
163,206,650,851,489,337,517,760,899,806,859,072,788,011,738,510,546,054,134,
792,156,929,315,258,463,587,875,754,831,666,628,382,761,322,860,242,429,606,
888,428,150,879,759,716,676,926,951,373,637,074,828,895,718,853,791,033,923,
644,685,432,327,817,767,665,302,766,463,835,928,968,235,692,883,859,937,169,
212,860,704,667,261,935,438,398,170,883,523,240,335,566,603,495,310,984,327,
306,749,637,604,252,685,874,312,677,491,860,485,805,366,504,886,537,287,724,
837,856,760,790,717,081,354,709,693,852,348,309,502,247,231,740,258,366,167,
036,427,243,013,516,935,195,251,565,219,259,720,109,721,212,129,258,250,898,
273,051,699,569,030,692,580,972,363,305,509,661,623,048,783,562,866,652,378,
763,911,920,147,591,482,678,094,221,973,614,077,112,309,183,714,236,801,005,
580,544,148,219,653,930,359,237,076,997,754,312,875,179,742,848,299,646,312,
635,161,932,803,966,229,629,038,140,449,886,105,513,838,459,588,902,735,091,
961,947,491,733,827,722,432,593,181,345,621,302,341,594,615,682,014,097,168,
100,592,650,688,169,519,071,487,639,615,618,568,537,616,936,640,848,636,075,
996,706,456,923,719,129,426,943,941,107,520,199,059,486,277,544,954,739,529,
330,211,893,991,714,815,425,303,859,791,296,257,873,709,078,124,648,976,357,
491,485,934,951,390,405,879,464,736,527,337,100,067,378,247,838,307,985,942,
099,116,103,546,684,121,091,876,430,896,379,586,700,700,965,776,956,145,645,
350,930,643,846,158,630,702,692,135,238,890,880,432,007,612,204,056,043,343,
537,024,700,807,434,177,500,948,990,090,216,329,886,531,393,018,053,290,008,
211,164,111,015,215,126,777,134,349,122,058,813,890,209,787,869,234,952,179,
434,503,289,752,331,756,862,891,563,075,720,265,010,413,456,633,837,221,795,
838,571,256,580,287,288,373,450,085,452,346,647,893,880,846,754,359,492,405,
346,405,142,482,772,502,298,351,238,258,099,685,291,902,925,056,538,572,727,
662,160,726,980,630,342,662,456,859,599,359,286,370,518,925,655,326,613,997,
895,903,951,485,128,276,776,179,680,450,763,244,621,606,788,191,830,146,141,
666,142,342,401,300,551,935,979,289,854,229,291,478,642,967,556,274,338,368,
684,362,551,009,800,418,790,383,940,929,371,044,018,541,091,474,798,246,965,
688,311,872,375,565,560,904,352,533,953,311,781,786,647,770,916,653,624,669,
094,228,765,285,681,897,266,153,936,800,004,705,523,292,781,809,819,255,178,
953,474,497,453,946,653,222,235,377,601,310,543,624,584,191,990,151,061,959,
321,241,046,600,095,914,484,771,098,109,918,643,485,245,221,420,002,478,723,
102,804,731,649,176,562,386,083,826,979,354,737,876,550,832,522,136,766,980,
505,439,022,347,929,091,656,348,665,741,906,017,699,027,051,244,080,560,301,
742,247,803,122,437,440,422,314,571,184,347,267,114,853,844,789,274,975,674,
381,170,882,287,038,558,699,983,293,304,474,706,139,594,227,823,059,045,760,
115,180,318,263,653,734,647,605,269,306,926,216,243,845,931,903,213,558,566,
638,492,062,969,648,694,380,909,821,256,001,623,724,529,680,581,105,560,777,
105,663,887,886,937,309,368,261,074,931,882,662,092,847,070,913,018,131,168,
913,730,047,361,581,410,642,577,625,045,376,470,606,333,702,193,360,231,113,
221,104,675,896,781,622,079,703,875,286,886,093,389,488,821,386,711,442,552,
366,448,268,828,496,618,287,011,792,081,747,208,557,697,189,314,589,255,769,
680,835,330,730,940,274,077,148,758,683,470,377,924,960,948,239,866,141,238,
221,307,684,186,748,920,955,751,057,131,462,824,138,875,084,394,129,769,617,
786,337,431,490,785,795,692,289,959,942,993,577,399,366,664,743,202,941,348,
526,457,944,036,598,825,370,121,314,834,807,953,137,500,556,810,425,542,151,
213,845,009,805,087,440,234,458,402,204,976,666,754,836,851,802,842,361,240,
529,928,018,612,323,984,222,018,878,801,708,643,652,381,179,367,527,493,150,
525,310,366,415,005,334,878,358,736,629,884,797,547,138,704,547,922,988,149,
982,800,223,283,985,269,959,766,295,322,123,011,786,363,366,840,821,529,575,
999,501,492,377,675,483,071,218,240,546,241,720,207,516,251,689,160,405,190,
412,964,986,042,331,347,673,896,058,173,727,918,877,023,543,582,617,675,050,
483,066,877,049,562,721,165,490,747,098,204,442,643,030,274,123,112,762,525,
848,197,931,693,700,535,580,131,936,683,122,668,682,523,581,992,232,246,885,
665,306,418,802,333,665,044,760,228,913,699,836,801,931,394,216,567,489,629,
430,723,789,129,241,721,967,420,566,988,657,976,642,870,015,770,841,662,395,
160,080,528,124,814,954,804,958,134,490,170,380,730,331,424,295,113,997,014,
730,632,389,895,905,060,020,944,437,917,848,325,076,585,642,704,607,873,990,
081,643,950,643,131,847,738,373,585,779,427,678,135,167,816,419,154,316,671,
901,302,234,457,588,022,626,390,384,191,896,187,549,463,330,448,273,268,977,
933,794,785,795,189,778,933,125,167,297,274,019,054,518,394,361,728,121,892,
068,547,974,348,570,168,971,869,341,874,764,104,767,038,301,812,758,314,747,
810,170,008,601,241,997,907,705,922,914,889,407,363,832,578,750,600,468,292,
580,861,820,084,832,274,278,459,627,667,386,950,793,382,646,123,359,660,591,
108,035,094,858,376,288,290,755,485,929,460,037,823,354,767,074,656,383,118,
766,611,631,460,604,524,446,045,177,335,326,120,393,478,330,740,747,927,080,
462,059,504,565,463,876,582,295,392,596,532,849,755,809,161,995,809,964,733,
444,539,494,438,579,040,494,236,099,936,021,134,344,619,390,587,425,900,288,
089,540,585,317,899,062,535,926,956,279,561,908,345,218,961,079,412,505,471,
921,315,010,796,350,230,847,545,308,638,181,490,805,051,902,446,968,789,145,
334,964,795,897,864,782,803,282,190,552,627,492,262,523,229,067,066,389,652,
842,564,680,422,088,822,426,181,910,226,879,652,271,895,458,332,549,259,079,
927,479,898,958,987,604,540,548,294,271,899,810,762,923,898,483,964,414,026,
869,537,474,365,137,472,556,656,853,072,445,314,337,728,096,511,686,298,507,
310,727,012,641,323,678,599,388,628,485,755,800,325,167,851,097,049,013,788,
461,817,228,545,680,786,063,756,000,670,488,947,104,185,384,852,104,999,753,
559,166,576,204,503,711,108,197,547,475,046,444,588,331,807,986,781,775,520,
042,000,163,404,702,473,724,816,806,844,971,352,145,039,886,074,202,738,991,
855,989,982,318,746,311,179,720,092,035,694,134,029,882,172,114,698,145,395,
664,833,795,428,319,592,658,123,420,972,281,493,971,711,810,432,148,846,813,
050,768,078,241,781,211,033,040,475,714,120,377,945,896,927,693,067,052,946,
955,773,455,034,266,769,064,724,226,598,187,263,302,296,952,400,966,858,911,
542,850,773,565,362,582,869,893,286,616,877,718,200,640,293,943,441,295,357,
206,509,656,391,575,280,851,378,677,275,253,896,926,718,677,232,996,091,119,
356,514,996,409,596,191,617,597,549,322,001,805,158,253,556,919,255,489,960,
216,988,729,426,079,309,852,616,157,508,385,497,707,194,554,927,033,778,356,
534,594,379,562,411,008,845,773,386,040,856,063,604,044,388,557,371,556,296,
203,931,708,604,354,887,485,254,124,486,395,202,282,322,970,086,448,994,818,
191,259,550,394,981,477,112,493,034,046,571,124,687,199,092,970,011,906,540,
896,519,915,441,503,833,037,681,068,454,148,097,177,752,471,272,807,530,984,
202,452,273,890,258,405,289,026,427,289,081,944,736,557,728,442,899,509,324,
405,175,480,027,191,191,764,505,258,427,595,979,446,515,626,512,035,318,597,
365,940,894,788,359,994,022,918,173,628,644,257,386,342,162,154,762,154,957,
967,040,771,963,210,332,265,828,749,755,059,666,886,992,908,235,867,911,374,
458,798,920,058,740,147,752,546,468,243,052,011,890,750,082,390,358,416,960,
389,881,828,562,417,224,658,693,318,975,358,553,242,526,632,950,487,736,829,
584,081,859,460,203,343,314,169,619,754,061,066,480,687,435,624,823,245,608,
615,787,223,942,500,101,796,902,356,686,401,253,983,295,759,030,867,000,274,
103,233,738,936,645,807,100,742,607,550,635,880,644,329,132,100,713,692,588,
731,994,114,527,652,705,947,584,056,037,532,525,148,415,809,769,799,236,084,
779,557,175,412,102,555,355,126,435,293,917,384,116,593,460,716,778,523,796,
498,600,354,530,239,434,641,185,165,932,476,805,101,929,016,860,387,767,935,
053,566,923,640,075,683,458,173,080,077,438,750,893,266,806,302,889,530,091,
067,437,946,186,373,800,026,571,730,418,311,033,443,121,717,234,236,292,411,
527,600,310,520,506,442,969,899,109,044,310,455,031,006,163,622,067,566,980,
901,394,672,134,145,788,366,251,956,253,699,754,557,225,892,201,872,603,108,
434,866,017,914,272,422,968,131,834,934,259,932,645,369,784,467,132,430,114,
205,853,835,691,869,003,645,759,261,765,585,044,205,793,571,512,486,771,718,
103,030,256,689,180,672,977,564,751,747,690,115,297,343,846,395,649,876,622,
492,009,218,672,693,483,773,706,953,524,860,301,169,744,200,029,715,979,853,
454,000,700,875,944,923,658,090,145,789,286,257,213,948,429,006,667,730,898,
461,581,555,654,493,503,087,298,525,970,535,700,307,690,761,819,073,408,811,
626,905,834,172,075,474,578,416,279,339,566,950,561,794,521,432,199,445,788,
917,716,053,710,587,699,127,715,049,966,032,079,601,364,482,523,816,258,453,
281,462,977,464,375,967,326,674,718,686,116,134,686,337,178,634,000,605,466,
223,610,958,197,751,483,064,311,422,549,480,573,617,678,815,494,515,366,765,
850,219,310,590,467,228,148,997,548,865,374,731,210,646,590,573,163,545,830,
887,001,647,680,565,981,445,475,476,019,145,088,656,424,164,337,449,315,554,
050,444,702,706,980,026,845,274,536,335,755,051,214,617,040,703,163,228,694,
293,908,987,605,986,046,640,369,169,676,122,725,388,789,837,444,173,560,148,
412,813,674,385,705,748,905,710,867,286,092,304,597,178,283,752,667,039,290,
464,492,247,017,668,812,027,574,270,667,619,147,005,180,623,432,064,897,939,
710,776,248,821,999,951,401,448,682,406,803,762,908,500,663,018,578,604,844,
689,653,913,887,605,991,720,750,959,868,774,193,961,478,589,380,334,300,497,
609,563,870,658,077,439,266,105,884,320,613,318,598,763,879,202,866,559,229,
319,667,643,382,469,274,314,409,453,469,891,976,707,938,793,287,202,572,363,
047,058,715,278,165,923,927,947,710,607,116,055,853,757,743,714,838,687,807,
248,415,151,166,591,852,050,056,698,582,093,430,803,648,716,304,884,974,716,
933,513,123,412,517,570,804,180,040,581,523,192,185,967,526,135,767,189,285,
999,812,790,194,582,517,730,875,569,305,093,307,608,983,101,138,152,829,578,
269,876,117,284,385,266,417,609,234,533,805,671,792,444,099,256,407,317,795,
534,308,371,057,133,694,687,078,384,186,561,705,893,471,568,510,422,094,915,
102,936,953,530,488,777,993,239,684,211,409,022,408,245,690,452,513,895,948,
114,683,550,749,796,413,225,752,314,680,889,315,711,643,522,669,427,911,808,
317,414,771,252,369,909,613,224,410,254,932,110,478,528,616,995,717,045,026,
287,339,893,666,275,517,192,525,269,346,938,994,019,200,372,351,106,600,859,
524,886,893,456,778,734,057,450,256,643,951,412,525,474,744,220,410,272,774,
054,111,058,823,103,271,392,161,684,822,053,886,691,018,927,363,149,139,497,
712,621,444,149,232,371,276,122,424,172,428,583,333,634,677,490,269,071,898,
061,707,114,094,642,272,742,697,697,684,994,727,521,154,900,376,147,609,185,
505,774,690,166,569,587,600,809,226,934,448,712,715,396,488,778,901,575,586,
168,471,029,024,443,284,603,034,819,074,745,059,696,251,783,324,703,604,984,
209,073,970,796,658,764,336,648,378,812,359,824,444,840,712,106,395,630,601,
471,920,178,874,244,700,061,361,524,922,948,684,882,070,012,697,466,701,280,
824,188,559,520,241,720,769,495,233,894,249,779,777,155,271,458,145,695,474,
110,746,948,608,937,140,943,831,067,417,960,475,340,200,331,741,469,029,099,
637,146,057,284,696,047,153,548,367,593,402,188,684,838,866,654,871,437,528,
241,345,046,703,946,559,272,816,429,673,217,660,466,692,565,486,731,754,608,
552,171,750,703,589,134,903,052,810,107,912,900,068,852,470,564,706,145,375,
209,021,034,634,048,978,634,320,914,141,942,482,717,649,830,890,814,810,365,
480,613,311,610,585,074,917,894,485,002,714,910,650,959,011,952,515,253,025,
097,278,073,155,387,626,146,871,156,059,304,437,938,921,884,865,207,555,118,
319,936,615,112,879,222,489,079,556,651,357,209,122,196,200,787,161,713,053,
932,323,739,914,209,550,657,840,839,935,673,977,835,137,573,807,909,603,742,
984,843,038,733,807,557,691,464,778,502,081,783,547,239,502,423,120,280,215,
250,653,826,105,175,870,280,135,246,953,186,766,805,602,191,120,275,791,210,
671,681,098,139,079,333,743,463,851,792,106,526,092,648,187,540,502,984,521,
883,017,514,150,739,893,475,910,531,590,811,035,313,993,701,571,567,588,297,
941,255,839,506,984,364,908,818,343,412,468,273,025,715,993,787,429,660,040,
346,923,351,904,385,462,326,561,199,475,046,804,610,901,189,612,573,979,174,
068,065,551,655,574,727,321,924,292,111,549,066,844,492,783,050,820,029,201,
184,463,020,235,351,504,683,166,134,016,771,760,895,617,141,804,297,045,732,
453,009,896,389,224,264,064,032,191,959,241,664,962,934,439,644,529,220,145,
482,215,102,243,072,459,498,253,277,841,253,266,722,711,631,671,155,839,141,
663,461,268,346,475,386,118,369,373,673,099,524,942,008,614,818,353,173,277,
837,354,317,561,282,565,673,715,596,326,855,533,593,143,129,023,223,093,179,
338,391,567,407,010,203,640,398,597,602,167,924,243,412,435,125,581,731,027,
068,845,053,313,216,049,201,232,224,936,022,106,382,660,302,328,923,301,763,
437,992,751,433,317,921,984,536,646,150,573,110,173,081,335,218,889,451,817,
424,844,747,750,553,738,506,705,102,360,639,362,190,699,760,513,615,473,389,
978,301,815,059,749,277,543,879,198,470,165,916,760,912,712,772,419,647,610,
822,261,557,509,104,318,168,516,600,133,657,110,555,820,781,265,037,330,078,
887,946,687,431,055,311,954,295,567,471,187,438,203,196,259,482,929,179,978,
402,884,454,118,047,814,687,443,177,059,507,188,862,729,397,827,766,142,914,
403,952,624,074,133,809,744,619,182,498,385,718,528,031,291,371,615,819,615,
187,536,597,774,067,641,370,470,136,584,009,343,299,524,531,924,606,120,872,
324,968,688,476,517,647,972,644,594,416,239,793,589,030,995,736,270,954,842,
493,207,260,360,706,191,656,245,320,250,205,842,224,946,777,716,399,896,139,
294,336,481,093,421,943,701,503,389,548,115,876,232,153,118,175,391,527,415,
539,449,511,113,536,174,530,330,836,493,494,265,599,098,084,025,722,503,546,
761,336,145,679,675,312,859,804,678,131,070,984,619,528,773,064,068,289,522,
148,144,863,485,896,037,305,614,154,388,116,378,374,799,726,262,947,663,064,
680,813,220,478,139,781,765,784,444,864,377,230,313,217,960,296,935,979,339,
105,615,621,547,923,391,666,153,362,154,213,861,433,731,715,310,055,125,921,
495,823,306,576,642,254,808,864,551,294,309,163,998,594,876,813,947,126,345,
156,015,726,550,908,323,420,364,217,690,808,742,859,176,205,113,737,067,209,
320,822,536,269,185,526,851,832,169,817,473,289,039,253,043,442,394,437,672,
661,163,955,500,067,630,888,907,795,472,999,670,729,839,230,658,464,859,145,
618,811,547,243,341,042,679,504,939,671,887,968,586,734,703,439,372,704,660,
499,432,829,711,475,847,994,524,227,319,455,599,340,619,646,263,596,892,034,
182,995,463,502,584,933,967,539,203,778,358,268,889,141,241,401,597,872,193,
205,523,913,140,908,754,482,823,286,898,212,981,945,142,708,879,277,136,540,
578,788,819,901,053,109,989,067,834,754,207,839,274,950,961,227,312,902,162,
134,380,432,676,971,270,795,431,446,811,992,378,431,415,616,589,763,508,581,
517,679,772,715,307,321,386,555,897,669,561,100,687,419,127,233,891,936,619,
055,436,987,325,137,392,155,373,668,266,483,696,488,476,900,669,576,242,724,
181,063,513,342,935,700,492,842,483,162,497,858,982,993,879,252,465,297,097,
879,697,315,557,464,017,747,880,827,654,370,026,145,286,438,671,572,725,549,
701,521,470,512,542,456,678,722,686,287,870,376,151,945,302,022,680,206,635,
662,283,140,763,229,471,810,871,096,002,139,664,800,007,531,755,340,329,846,
076,483,722,938,731,254,409,627,524,687,455,444,079,230,977,331,572,788,988,
840,036,689,821,465,010,558,067,552,046,642,221,957,522,234,817,289,212,787,
435,340,657,025,341,104,257,296,208,794,407,884,357,009,939,309,801,527,224,
683,095,295,907,038,805,552,458,690,888,786,438,831,737,634,422,293,295,225,
059,132,332,451,909,443,680,909,523,395,690,083,533,559,545,651,633,912,642,
460,647,736,550,998,265,229,051,966,699,359,392,378,405,738,797,299,463,693,
053,530,787,926,700,659,329,289,286,077,641,652,787,264,932,975,999,311,705,
567,987,749,939,053,915,754,714,892,069,378,619,856,688,318,837,605,690,299,
582,634,572,636,957,537,789,941,026,220,187,097,453,176,807,665,105,505,178,
750,834,713,776,414,780,751,190,051,154,568,072,809,672,084,371,827,904,023,
132,446,460,914,755,131,549,702,829,883,400,415,804,799,467,391,520,518,214,
680,073,400,678,808,637,454,367,605,546,547,987,500,741,279,151,773,871,540,
542,003,651,769,011,472,816,736,400,425,529,443,819,031,562,025,832,805,714,
135,611,926,636,355,392,828,922,207,298,916,056,283,377,422,604,803,051,874,
050,914,319,729,245,388,382,811,826,918,229,211,766,701,010,436,522,978,266,
005,527,482,681,892,324,519,871,652,897,689,574,981,293,859,268,983,312,950,
713,991,036,780,363,486,382,578,000,907,471,228,573,194,586,710,000,424,311,
471,105,369,206,434,202,711,360,041,066,420,015,232,909,840,468,536,059,894,
943,995,586,479,469,793,729,498,495,835,858,616,424,746,135,092,809,642,275,
010,158,854,603,351,216,312,945,837,276,362,915,753,669,386,870,601,657,956,
401,813,005,689,155,252,976,123,596,119,909,722,868,077,711,544,113,437,891,
637,222,228,569,439,944,372,098,965,378,159,810,229,371,953,460,222,803,273,
376,216,577,530,842,956,690,690,711,548,245,608,251,121,708,410,505,342,550,
197,172,842,817,227,354,792,598,927,968,958,386,599,976,790,285,024,884,246,
885,728,150,345,406,730,203,226,417,914,570,509,636,885,176,188,569,547,216,
634,103,976,734,550,294,229,324,733,939,583,542,697,385,248,448,679,104,497,
628,689,419,116,014,600,641,767,453,302,447,834,021,758,341,551,463,405,778,
921,937,472,134,479,825,247,046,552,360,177,261,217,596,785,168,981,496,321,
130,869,044,875,755,835,201,576,237,482,320,881,399,211,947,691,934,005,287,
259,821,289,271,752,798,429,268,356,044,169,703,913,474,895,326,397,750,977,
362,000,324,380,797,842,884,808,891,062,241,285,915,382,639,072,444,073,028,
167,332,520,482,659,002,646,176,796,541,840,293,185,228,428,073,978,341,206,
316,396,899,113,955,053,146,256,030,611,907,981,769,818,230,916,149,614,400,
478,594,942,237,697,419,211,766,186,363,790,226,024,309,291,289,507,543,554,
867,208,146,542,949,973,471,733,886,266,096,241,619,881,388,417,728,966,707,
033,565,813,826,878,437,819,136,575,046,035,163,317,704,496,327,089,992,810,
048,214,286,186,953,748,175,326,322,984,370,532,126,379,990,624,256,815,322,
900,559,885,950,547,703,259,151,994,590,371,840,085,257,403,726,280,108,089,
370,108,468,725,972,556,464,841,957,403,456,824,122,548,036,269,396,750,641,
341,933,968,014,684,121,481,739,426,899,552,171,639,255,732,178,939,642,015,
582,984,496,464,000,601,480,401,332,220,005,406,590,588,976,068,066,249,736,
898,053,236,725,042,828,666,025,912,576,559,517,330,006,462,617,377,782,685,
659,317,833,061,915,335,201,366,552,587,467,027,964,424,328,935,134,776,531,
817,313,931,802,045,158,450,279,691,353,219,099,962,263,617,490,451,285,703,
547,362,271,058,035,162,413,136,301,564,785,311,387,570,772,729,429,412,960,
916,142,707,904,010,903,792,673,575,790,548,533,432,345,950,249,473,749,517,
854,154,811,055,991,937,816,084,922,709,063,711,199,622,803,293,187,136,895,
526,758,789,059,157,275,017,075,291,780,009,567,397,748,330,580,398,591,887,
495,076,672,320,130,894,387,981,133,963,708,648,576,370,538,363,687,272,395,
472,992,848,692,487,551,677,304,705,322,666,675,917,635,899,984,754,929,684,
295,067,814,117,811,424,519,292,777,360,070,690,037,093,013,271,310,610,856,
548,743,414,687,680,569,690,865,516,778,854,397,182,513,385,783,413,542,733,
523,887,465,349,702,806,230,742,010,120,640,223,799,394,787,618,845,866,554,
126,067,942,260,318,753,297,321,925,966,925,836,770,324,894,374,670,138,387,
482,619,252,324,803,203,543,755,360,723,806,684,734,429,065,101,269,879,333,
237,446,500,549,645,427,802,235,441,268,055,205,038,909,775,423,146,876,986,
882,979,256,509,954,442,533,069,531,900,498,228,217,028,958,607,451,844,421,
705,101,274,320,556,623,361,940,747,770,434,625,178,158,183,507,381,102,985,
777,545,630,933,597,976,106,165,328,257,846,022,562,782,299,122,485,107,813,
538,888,607,484,421,494,874,062,883,027,286,280,411,153,274,777,920,862,146,
372,393,147,081,694,246,331,835,791,723,915,024,116,369,984,584,273,996,805,
517,508,965,916,114,738,598,905,232,417,814,975,126,457,938,898,361,238,670,
315,134,754,459,087,011,499,042,995,695,233,545,857,319,840,988,053,707,496,
792,019,754,712,227,240,663,177,197,514,875,901,562,614,161,695,766,455,527,
246,929,662,803,186,982,253,091,283,732,332,626,009,182,456,841,610,184,685,
403,119,166,766,256,048,534,595,619,687,156,867,777,456,369,738,437,905,935,
175,369,330,853,810,999,012,222,658,270,904,669,349,782,571,414,347,213,371,
577,160,575,708,236,832,728,449,006,557,845,281,571,870,483,988,260,407,108,
061,704,826,887,418,951,241,126,136,304,091,441,432,420,738,502,023,673,864,
826,958,618,379,606,524,635,339,456,932,498,186,547,223,004,609,874,211,951,
172,898,028,143,878,264,833,484,325,809,126,079,589,878,960,491,947,523,064,
222,486,053,817,246,960,673,631,072,029,540,260,345,071,405,975,720,925,143,
299,717,551,827,120,661,501,575,768,631,480,615,020,055,925,800,947,098,041,
708,890,827,828,456,110,987,334,700,151,118,631,465,377,195,793,790,086,484,
428,453,992,809,522,212,594,789,217,594,986,671,960,769,498,422,886,319,645,
163,495,278,045,447,121,167,887,590,003,141,284,515,932,219,486,229,083,477,
580,944,958,767,399,849,536,383,417,707,024,016,605,132,073,736,182,191,775,
047,525,437,360,904,365,709,257,677,497,952,820,058,920,476,759,760,955,148,
630,976,577,851,073,540,453,212,768,243,962,854,153,903,166,424,435,506,822,
651,482,458,163,054,003,962,603,362,932,633,855,838,991,624,075,612,315,372,
569,444,359,901,532,272,999,590,347,348,619,976,440,714,414,253,019,268,905,
445,152,987,129,496,965,098,166,134,454,295,734,374,118,982,162,509,594,610,
358,084,232,838,072,496,779,486,159,002,091,891,369,517,399,817,941,359,925,
582,640,305,419,446,635,179,698,323,303,617,214,431,575,174,222,104,450,498,
405,267,712,331,541,093,320,108,156,181,914,806,871,054,852,452,312,092,370,
758,348,525,267,879,492,093,737,612,767,915,061,635,381,762,845,405,691,730,
536,948,111,391,079,335,546,805,851,817,679,278,735,390,437,439,909,851,583,
860,114,391,940,850,426,378,902,815,554,106,623,818,901,030,160,420,389,194,
720,468,644,853,554,719,018,222,753,866,651,928,990,777,634,143,948,007,886,
207,509,788,118,082,201,721,458,743,275,206,099,141,143,073,130,299,132,103,
952,792,536,790,368,742,996,528,265,509,907,470,228,151,085,490,641,535,023,
270,090,585,250,381,904,012,753,003,874,806,003,743,043,981,203,134,981,532,
329,613,582,907,411,558,562,510,843,295,505,763,041,434,398,634,557,460,425,
691,726,822,908,891,176,470,860,351,571,361,899,362,955,866,655,424,686,230,
579,360,374,149,633,962,756,679,240,976,594,759,414,974,351,991,670,397,974,
291,689,531,028,941,135,744,183,701,121,718,902,512,844,910,134,207,020,634,
055,250,483,940,565,366,439,982,571,524,331,038,577,299,251,686,721,175,497,
424,315,578,195,381,295,997,225,024,395,324,361,812,327,534,221,510,893,779,
574,021,507,244,270,507,103,460,058,195,426,701,204,144,422,486,289,139,667,
895,537,988,681,317,252,532,482,949,230,288,985,826,648,018,554,301,471,047,
650,294,928,047,813,744,561,684,030,468,574,925,054,446,209,269,633,635,018,
408,326,350,082,113,204,118,998,031,457,412,364,084,313,542,139,304,579,791,
486,734,773,015,027,960,456,876,060,327,358,912,584,618,843,845,834,514,590,
658,262,446,093,238,612,180,114,700,237,613,123,878,210,129,829,960,499,474,
178,812,227,753,649,563,757,178,924,233,516,298,935,346,426,880,185,715,475,
903,729,978,238,379,417,575,708,959,640,992,934,373,185,959,387,112,488,571,
943,947,664,091,295,057,086,637,189,372,590,584,632,671,377,376,711,314,803,
886,333,849,851,032,060,199,916,639,432,899,839,862,726,965,353,850,784,687,
748,684,922,116,745,378,158,060,789,603,481,445,703,764,457,807,302,783,373,
809,070,607,635,440,004,078,490,854,667,171,083,347,988,521,032,637,814,418,
064,824,773,086,928,301,515,557,961,023,662,035,176,278,065,390,275,592,784,
473,123,238,941,503,518,309,731,095,179,623,799,149,473,993,349,504,562,193,
514,761,068,762,715,555,342,624,234,454,768,593,453,824,119,525,439,323,030,
872,776,909,072,049,015,924,447,205,591,672,129,291,065,177,923,165,420,458,
598,938,711,516,396,159,238,368,448,136,164,118,669,879,358,784,409,111,601,
332,019,779,937,202,849,755,103,307,965,459,255,033,329,177,669,405,486,014,
737,777,840,260,624,286,368,883,426,780,444,485,632,796,508,759,556,124,141,
642,947,855,454,505,710,269,603,496,397,163,891,354,038,252,919,914,423,546,
817,360,031,427,285,044,734,366,781,603,936,833,147,166,801,781,188,884,915,
810,264,331,157,753,641,071,124,129,111,123,847,227,364,955,226,556,898,267,
021,896,641,055,420,866,115,587,792,779,324,159,195,696,712,798,051,597,012,
254,258,127,817,926,698,374,348,143,569,531,385,621,548,923,899,688,603,591,
286,651,467,294,837,677,182,836,632,812,908,780,576,867,393,631,232,047,657,
112,900,960,674,050,419,222,706,251,454,158,697,140,307,643,763,103,466,368,
138,734,856,505,317,944,651,127,737,438,367,310,441,238,250,318,102,940,716,
026,290,255,639,813,222,029,392,804,754,702,826,801,024,506,624,046,315,764,
851,757,522,148,903,866,924,698,599,033,108,279,707,596,353,198,088,009,153,
652,608,524,588,433,428,519,343,656,739,334,952,032,182,380,646,937,583,312,
215,181,313,461,555,236,378,851,507,872,376,106,274,363,212,477,157,437,683,
552,093,984,605,906,036,831,141,945,107,096,765,715,051,252,848,700,600,493,
751,289,441,201,415,455,561,433,131,088,946,769,397,899,717,889,928,528,362,
171,315,621,053,775,506,112,632,784,411,179,967,130,715,674,479,926,473,715,
749,078,649,393,617,435,194,432,396,535,912,678,788,525,742,686,440,951,476,
365,604,515,155,240,794,832,229,045,168,949,858,182,194,841,538,590,741,920,
367,047,159,193,993,556,153,963,156,709,735,224,583,887,591,245,930,509,207,
191,841,877,639,095,221,000,165,672,290,210,620,041,273,764,935,236,752,751,
819,604,579,550,076,045,110,026,527,709,730,355,925,993,284,833,573,289,650,
017,463,536,067,239,798,764,574,038,472,182,720,661,392,693,889,315,288,736,
996,200,836,790,480,393,839,621,098,641,843,055,817,355,853,722,623,367,132,
680,456,961,047,526,476,233,067,565,849,132,678,020,852,783,641,673,052,753,
338,599,345,466,630,015,667,450,835,824,199,026,104,203,526,749,273,557,271,
331,573,864,906,739,021,947,250,522,386,195,144,527,790,802,426,342,043,767,
036,625,625,597,676,417,714,032,672,598,800,844,692,760,874,222,903,461,724,
136,414,166,076,484,062,118,012,589,059,278,706,744,739,583,620,185,454,260,
984,285,547,053,054,487,673,924,748,365,001,394,987,653,026,809,097,465,563,
785,402,031,996,913,994,804,254,116,570,478,998,817,074,300,652,286,293,602,
171,844,210,344,409,445,368,133,303,062,475,345,912,623,864,231,602,066,362,
430,342,376,535,498,394,988,811,198,352,861,895,339,262,378,486,151,164,604,
596,519,404,682,833,051,529,495,557,001,311,429,632,744,592,309,972,976,269,
025,636,259,672,496,844,845,228,185,091,821,418,690,323,183,596,254,400,140,
120,318,975,095,175,123,781,279,244,636,513,858,481,678,201,514,279,042,677,
024,507,004,940,652,238,545,193,027,292,318,879,405,371,548,558,342,171,526,
772,162,782,630,823,812,630,138,152,264,428,087,323,931,406,261,783,213,801,
752,447,468,320,230,276,703,849,911,581,773,712,917,877,209,810,642,148,035,
077,648,962,429,402,125,818,884,941,981,467,612,729,791,189,376,112,054,540,
773,425,483,367,926,576,688,686,918,359,625,420,481,170,123,494,904,813,262,
299,688,699,502,200,054,809,176,610,029,556,232,507,346,569,669,211,006,703,
833,377,756,100,181,724,055,772,552,903,567,179,123,110,749,126,346,365,147,
800,599,754,809,050,333,869,422,675,183,856,480,848,228,348,782,141,532,788,
304,839,147,203,400,976,211,625,032,190,270,369,361,124,195,201,873,507,327,
167,608,965,232,105,902,204,074,083,633,306,966,082,760,518,917,253,094,009,
266,134,910,092,431,152,325,219,225,919,849,749,019,772,924,712,977,130,288,
294,447,760,130,733,172,423,383,655,522,874,414,654,010,396,407,432,106,152,
649,950,388,448,307,801,309,886,507,474,347,073,834,226,497,642,599,803,948,
420,564,159,873,538,021,618,184,674,831,250,521,694,030,210,725,386,529,304,
807,343,467,204,786,665,638,401,253,982,301,862,583,616,553,321,913,334,636,
542,307,454,634,816,843,091,421,216,427,405,798,133,949,317,730,172,342,748,
751,668,938,153,318,825,054,807,778,347,206,012,247,488,820,299,408,670,077,
681,213,058,567,394,702,340,340,130,856,381,405,303,150,948,826,407,863,387,
728,248,056,438,535,287,330,523,219,382,164,465,527,256,134,253,266,159,355,
268,924,197,845,785,776,055,379,585,626,762,602,577,375,207,570,336,458,848,
176,178,408,141,107,160,424,585,552,221,977,188,943,382,002,616,732,226,477,
928,493,071,508,082,953,971,822,756,516,720,407,580,154,642,987,846,262,697,
282,934,731,020,955,966,353,516,496,546,119,200,848,261,114,202,619,321,634,
835,284,550,511,441,786,839,025,394,492,554,047,006,297,693,313,919,065,248,
032,019,512,850,656,822,475,805,423,641,688,202,845,368,842,990,935,865,783,
704,857,008,235,845,722,030,095,907,336,966,188,081,762,285,542,079,133,012,
187,235,368,623,291,163,323,864,226,384,093,571,072,862,239,301,342,592,789,
912,295,544,632,804,000,672,269,857,784,335,238,408,988,677,177,164,439,323,
571,368,978,588,875,368,360,574,520,484,616,236,542,640,279,652,379,592,853,
939,548,110,257,542,901,167,016,387,826,341,211,687,520,610,594,722,906,934,
100,364,759,695,714,757,043,904,679,830,875,292,971,881,789,548,495,085,377,
934,408,483,553,697,315,337,241,794,702,171,171,670,097,127,578,270,318,184,
341,419,284,334,732,076,468,225,947,278,733,388,277,298,136,682,258,118,202,
704,890,247,900,932,184,374,623,954,314,460,353,098,463,017,431,663,497,882,
112,250,130,446,003,785,560,080,973,050,192,391,134,731,504,709,138,699,476,
949,806,964,585,751,292,227,451,115,605,696,518,657,079,106,205,862,946,620,
841,514,132,250,183,322,777,125,300,311,698,915,882,923,769,317,626,302,168,
269,725,228,196,456,044,365,712,100,962,504,225,795,092,078,701,490,969,064,
379,570,058,010,222,908,375,768,954,208,468,537,272,820,891,769,022,066,118,
881,190,194,693,527,205,208,934,354,996,146,050,227,961,946,642,121,701,406,
458,343,485,231,283,027,282,257,336,553,668,901,980,942,316,463,307,826,760,
424,383,275,951,045,494,812,424,064,763,304,637,969,225,094,795,244,397,967,
814,863,385,456,215,182,130,745,653,494,816,559,509,699,355,451,054,442,059,
350,225,734,498,919,576,545,702,256,265,738,841,861,667,556,023,960,812,692,
191,646,715,655,680,995,211,763,152,604,499,755,462,771,726,631,684,001,149,
193,264,477,663,743,835,919,233,396,748,829,428,578,668,043,619,445,018,507,
568,351,798,658,505,050,116,564,923,534,837,171,829,644,441,756,176,900,490,
475,861,917,845,591,147,638,769,704,493,026,278,438,676,251,564,175,342,809,
190,930,541,523,883,913,387,082,498,451,531,790,068,773,033,817,358,265,485,
252,050,250,382,034,537,984,094,650,541,397,134,843,509,993,052,276,967,743,
244,599,782,767,638,549,505,584,608,716,163,167,184,043,705,951,124,840,082,
527,987,794,661,634,557,080,867,770,805,912,803,646,040,537,556,487,182,847,
045,689,096,333,399,097,629,651,780,590,441,964,539,359,515,646,045,351,513,
201,872,358,368,919,450,245,898,676,252,218,825,979,045,052,087,372,588,505,
337,826,742,194,320,562,156,890,454,001,109,367,689,352,408,089,461,245,320,
225,809,663,882,203,576,191,796,507,349,725,995,443,321,366,242,817,407,455,
326,766,431,544,896,969,378,024,014,889,454,091,369,925,639,408,886,469,722,
375,600,961,554,698,777,747,833,900,651,284,346,957,161,616,050,184,701,765,
175,040,466,039,455,031,204,989,923,294,468,630,741,402,982,240,586,010,677,
135,631,676,876,926,960,426,037,274,705,618,947,168,984,322,628,934,580,726,
558,616,650,359,595,850,177,982,121,729,305,880,509,711,559,721,538,272,763,
810,420,993,536,003,663,625,317,746,329,030,995,772,560,007,898,013,663,178,
755,365,943,316,356,926,027,809,300,134,489,813,459,027,807,713,997,027,130,
563,411,839,909,810,152,910,403,530,381,583,965,984,341,733,582,702,838,614,
952,392,259,874,734,762,726,901,288,872,876,411,091,362,767,276,707,342,741,
609,418,354,881,618,825,865,887,606,713,175,789,249,939,520,829,501,138,835,
007,161,953,043,087,860,399,428,966,169,897,137,952,292,013,829,864,324,319,
651,292,849,823,464,716,734,772,077,845,951,027,780,961,375,581,627,234,211,
906,718,255,104,440,036,253,978,020,152,211,046,953,041,447,857,153,282,915,
909,734,261,812,097,577,310,393,873,860,232,116,915,194,397,996,101,271,329,
275,772,448,354,859,424,706,775,652,994,255,355,366,341,763,668,917,736,642,
349,098,868,266,658,920,522,955,205,981,535,222,101,586,228,778,981,835,018,
350,104,979,263,776,284,949,343,855,754,629,720,747,313,482,281,308,534,844,
905,295,424,995,482,832,686,801,078,138,114,734,924,658,682,909,812,233,879,
413,748,080,362,702,035,009,416,296,397,570,234,085,661,868,612,980,098,616,
358,116,574,648,793,922,028,292,212,619,325,144,206,347,507,767,283,356,248,
204,127,286,535,862,873,990,607,809,126,217,448,026,954,015,179,398,266,177,
688,758,710,492,763,475,913,304,476,639,594,538,611,518,539,228,835,040,540,
742,243,677,493,193,091,808,679,699,832,878,318,476,522,931,817,768,638,686,
491,778,053,095,143,836,327,557,089,153,576,085,377,862,111,518,831,895,020,
679,366,219,247,602,828,469,901,023,497,273,131,090,541,847,122,295,031,643,
850,446,533,235,738,974,843,991,372,441,056,273,559,618,029,984,906,206,500,
479,987,131,054,825,760,072,156,991,054,546,654,252,250,994,383,224,896,656,
081,471,091,455,790,121,151,179,356,124,270,860,227,980,702,700,560,457,205,
420,270,443,682,912,343,529,871,607,765,077,832,915,791,027,054,993,028,597,
772,593,496,079,713,027,857,349,490,793,871,994,405,557,215,537,109,136,779,
959,246,029,565,944,918,025,202,302,010,680,371,629,561,332,159,825,240,123,
923,942,550,417,304,216,343,210,120,222,544,692,680,097,821,586,763,019,494,
713,441,646,116,548,945,171,251,209,579,032,526,400,417,359,796,626,881,264,
513,340,919,431,374,450,360,414,573,019,109,183,083,810,849,439,490,776,483,
947,371,254,280,785,519,452,649,257,558,117,581,697,076,908,090,256,781,571,
535,683,144,742,433,109,500,017,252,553,492,463,423,657,898,790,361,622,606,
574,741,026,458,735,865,829,268,304,617,868,405,778,296,506,216,272,434,889,
341,655,904,182,962,038,568,024,756,872,170,813,407,735,685,501,299,136,501,
150,391,431,825,508,237,424,152,762,103,427,429,140,673,659,472,801,877,620,
394,052,216,841,156,074,314,755,697,189,423,870,479,205,087,025,325,981,942,
190,975,275,257,299,509,297,503,732,588,353,230,458,317,383,252,658,932,842,
720,395,212,028,346,706,303,373,271,000,178,819,726,439,245,412,868,798,747,
350,446,451,920,119,405,414,423,915,828,818,925,079,954,333,199,659,140,704,
637,867,618,425,215,007,511,684,547,130,482,182,012,471,910,201,171,997,338,
505,027,470,687,846,841,862,825,526,255,844,242,372,342,009,916,870,078,893,
718,743,616,308,561,312,266,673,058,755,140,297,720,352,408,898,844,730,367,
757,136,941,085,506,058,160,217,725,020,970,059,082,921,650,641,540,235,908,
278,422,690,579,905,111,560,592,746,598,716,232,531,308,543,990,420,487,035,
477,003,917,917,345,995,238,400,040,227,648,137,160,766,890,166,775,655,256,
786,441,338,237,878,483,881,611,376,654,099,520,904,119,133,810,316,259,480,
903,517,008,690,323,305,921,585,035,219,838,415,686,921,233,978,237,635,212,
164,837,218,449,128,417,856,781,673,318,788,007,744,114,874,304,644,787,207,
882,905,670,300,590,664,187,012,029,586,180,500,842,268,773,578,385,114,186,
380,072,912,125,700,557,303,354,812,475,842,871,680,647,739,059,712,965,600,
522,009,293,185,655,177,875,598,308,347,983,046,307,971,360,137,232,395,696,
099,428,614,874,590,595,388,154,056,102,730,144,581,839,808,836,732,832,225,
545,523,613,714,169,979,299,932,576,371,242,699,037,349,464,608,640,811,315,
283,143,660,230,136,368,175,201,350,526,837,465,611,232,443,157,454,733,647,
974,678,957,562,140,073,993,638,176,266,023,255,057,985,406,896,204,217,777,
783,045,965,506,200,837,839,752,039,192,175,986,458,702,088,750,178,165,727,
619,867,369,778,581,640,935,017,178,972,849,916,186,851,982,985,321,540,175,
174,547,488,124,846,783,333,090,906,837,726,011,690,110,173,872,651,097,702,
070,161,104,612,518,391,692,314,927,030,282,673,188,223,531,590,513,243,758,
820,942,980,883,931,441,709,685,866,278,087,938,891,950,160,588,508,347,425,
716,970,780,203,811,833,278,028,363,309,111,475,802,992,641,492,438,136,232,
908,920,278,782,062,645,685,599,756,216,795,810,435,657,097,258,528,518,036,
616,094,957,948,701,097,798,591,138,262,173,890,662,268,564,949,350,495,749,
551,297,955,647,079,449,493,420,586,524,054,204,152,535,546,025,167,129,784,
065,592,004,072,264,807,562,360,989,018,155,995,241,713,669,959,925,655,350,
505,449,497,275,116,303,255,334,954,259,045,704,925,628,155,736,154,241,690,
459,472,378,532,395,945,523,746,281,397,886,120,649,320,458,518,476,621,647,
439,452,396,761,303,080,124,093,687,574,402,520,365,310,807,246,329,277,113,
722,221,434,393,789,127,201,819,361,262,831,608,977,726,043,848,612,778,892,
851,850,282,776,417,686,110,703,373,543,404,252,363,486,599,497,828,982,407,
391,279,264,683,523,124,633,954,166,813,997,649,568,117,854,043,594,957,639,
306,713,939,680,085,119,882,524,375,919,541,110,650,921,108,121,677,291,559,
879,527,832,318,956,034,777,276,874,934,587,063,977,195,376,023,407,303,813,
817,251,674,573,617,410,030,928,888,239,173,619,955,569,902,680,508,110,466,
792,502,075,127,248,604,084,881,848,207,315,730,328,923,726,529,449,279,660,
333,633,187,072,259,610,802,741,872,255,173,571,194,983,736,655,928,671,689,
662,848,798,679,643,423,250,210,869,325,727,850,839,555,134,070,818,228,626,
996,372,380,750,634,140,804,878,235,999,255,104,884,797,078,298,997,723,029,
202,997,617,407,923,135,449,171,226,355,705,728,104,161,749,529,495,181,996,
027,527,235,745,833,144,104,567,583,357,103,939,678,324,778,330,809,779,039,
479,667,167,281,156,090,626,539,894,510,237,958,542,407,785,238,312,458,811,
080,654,615,620,600,161,440,245,976,683,200,214,339,631,978,128,436,825,673,
299,553,224,384,721,968,600,526,601,007,448,502,922,949,515,494,121,763,494,
234,592,603,760,968,014,581,676,859,788,395,308,295,130,510,732,588,995,114,
028,334,752,131,175,177,964,849,204,728,471,344,057,552,388,412,972,636,497,
540,177,171,448,670,974,324,110,279,914,760,339,703,891,909,684,490,334,649,
803,875,310,242,938,439,230,365,317,941,916,798,758,106,082,287,478,528,436,
145,663,816,807,554,807,850,722,824,884,057,384,290,715,748,828,088,008,189,
382,095,735,723,984,011,765,808,641,844,917,293,766,007,661,555,327,588,555,
586,388,041,042,604,328,443,327,089,581,701,472,768,463,316,954,715,126,382,
814,646,219,313,021,360,447,460,231,350,661,947,451,260,518,859,917,152,127,
165,349,210,109,584,389,835,820,254,065,859,413,045,125,090,231,205,591,480,
811,250,179,179,112,003,866,060,415,191,663,420,664,275,626,763,577,777,152,
085,955,704,887,994,075,678,840,694,693,630,495,040,305,396,072,970,706,644,
713,868,742,528,715,961,474,583,405,632,766,435,898,913,715,326,197,316,824,
101,520,454,441,006,441,725,052,522,756,720,473,259,773,406,006,225,569,842,
005,446,521,846,998,946,810,113,189,003,868,235,904,204,759,128,871,939,267,
095,486,664,157,920,280,749,808,811,151,933,647,820,666,729,452,137,979,639,
127,796,539,711,461,888,093,197,757,779,623,396,976,401,438,658,552,222,816,
968,279,947,086,674,136,635,904,675,286,695,168,466,265,508,258,093,768,388,
492,067,350,823,233,132,993,254,016,942,669,945,309,781,514,307,243,295,373,
354,919,656,116,270,585,012,754,902,975,255,009,690,487,200,280,472,687,821,
899,161,343,468,898,813,231,261,069,477,931,358,542,726,690,385,177,893,420,
168,144,865,285,654,411,751,108,624,937,614,344,258,364,694,731,019,237,463,
134,019,594,412,363,191,558,523,406,818,214,160,574,474,918,862,991,151,195,
288,902,789,677,858,702,945,039,479,159,843,237,626,891,535,203,806,351,339,
101,560,977,335,428,684,025,440,892,994,196,715,582,465,532,606,568,313,776,
481,983,158,502,205,686,326,216,981,823,304,612,636,117,249,283,024,888,755,
438,073,711,886,018,405,830,676,067,225,868,538,374,284,205,032,595,531,551,
888,961,355,290,204,675,465,980,327,049,203,720,756,528,010,679,133,704,894,
944,958,128,901,426,081,210,365,772,634,945,563,658,301,737,944,455,390,516,
838,687,882,263,341,890,820,058,429,562,447,267,330,253,136,742,337,662,947,
167,588,598,969,356,372,983,957,546,700,838,577,173,235,293,849,428,916,506,
756,697,386,250,406,118,998,121,794,128,003,535,858,505,040,964,005,261,365,
087,940,959,286,097,170,189,648,719,017,505,628,976,081,349,590,827,314,167,
252,164,747,177,347,356,518,491,925,581,601,000,472,045,763,597,966,579,939,
974,987,566,358,949,140,776,576,704,908,542,849,500,727,984,798,103,776,463,
355,603,794,061,204,416,376,080,914,839,009,359,601,859,830,022,631,225,113,
489,708,536,691,876,942,070,692,615,024,947,330,306,799,990,279,779,327,297,
323,136,406,546,511,032,647,495,530,325,403,988,000,949,851,897,254,643,736,
038,746,947,238,009,695,435,286,071,665,196,400,728,709,416,008,369,082,547,
018,680,225,966,440,004,168,876,687,133,374,408,400,807,567,878,745,467,722,
442,257,143,821,469,762,440,557,737,845,278,609,955,704,632,878,112,106,370,
011,010,369,337,920,937,863,038,977,792,424,964,148,421,597,113,519,201,634,
041,573,118,187,663,274,317,758,942,966,259,054,264,266,801,589,735,752,389,
093,569,819,220,657,622,865,545,595,313,014,765,800,881,020,364,513,250,849,
244,172,125,558,020,019,558,069,850,665,178,682,765,977,773,727,071,154,212,
271,544,614,443,374,549,156,083,395,489,699,000,930,628,415,013,477,064,586,
712,957,642,086,629,612,330,297,002,111,021,085,752,397,213,351,839,367,767,
212,634,391,402,942,789,462,887,920,585,620,003,292,367,014,676,283,369,372,
373,426,419,435,138,282,308,283,829,348,684,929,600,723,881,739,687,212,962,
495,341,416,854,194,544,722,058,170,394,917,688,707,240,256,216,437,860,163,
155,767,740,597,002,379,578,052,531,876,853,556,328,450,555,710,225,608,993,
729,570,414,859,207,753,510,668,417,797,579,123,743,620,336,751,609,751,035,
701,253,405,050,712,669,787,967,298,811,314,717,002,983,343,988,594,796,743,
610,334,870,762,339,455,533,539,011,231,808,978,777,147,677,949,565,295,564,
871,574,360,456,731,735,079,495,249,768,074,173,780,932,804,276,623,530,724,
871,956,103,511,429,455,600,293,414,634,462,859,897,634,226,759,529,124,225,
184,514,907,924,098,939,627,210,689,652,536,521,847,959,884,388,244,485,661,
142,428,813,027,263,118,549,676,266,802,789,260,900,774,701,276,722,040,260,
554,668,461,296,339,321,405,136,526,788,997,651,145,741,723,971,959,463,597,
139,643,889,987,166,423,739,809,391,415,155,133,450,658,192,689,020,339,739,
365,339,541,405,743,346,097,164,721,476,604,681,592,928,514,461,027,136,980,
208,163,096,841,355,914,586,795,352,932,326,594,069,045,501,404,582,094,240,
688,961,155,542,546,531,225,209,356,108,234,007,582,604,590,086,419,877,352,
551,208,449,590,163,144,778,438,091,484,338,062,329,667,236,676,909,864,081,
786,933,050,723,158,796,107,986,931,557,999,711,584,315,062,155,236,504,238,
112,833,515,260,529,612,667,344,706,247,834,072,191,062,473,501,975,347,154,
802,032,735,455,995,997,448,155,866,798,969,035,969,733,951,560,289,533,339,
586,572,294,565,473,062,979,390,502,431,559,283,557,500,495,055,762,591,453,
621,014,342,777,525,816,633,863,104,799,860,363,426,414,471,716,073,031,782,
981,875,666,478,570,896,054,266,714,691,162,261,397,252,664,448,121,432,109,
755,901,577,854,901,011,210,846,493,910,765,235,701,649,217,002,762,074,641,
134,434,928,508,518,350,374,376,314,840,131,044,915,960,803,943,438,016,023,
269,164,364,024,880,069,384,015,402,680,297,263,002,373,559,937,863,140,544,
741,371,017,351,212,550,681,708,938,591,369,579,892,078,815,739,128,876,087,
636,397,554,470,189,716,079,160,979,259,222,813,984,384,459,980,304,188,645,
945,123,465,771,574,510,801,298,017,486,721,399,456,162,649,264,917,098,834,
568,741,204,366,015,035,419,000,163,478,202,440,115,041,505,691,993,326,892,
189,579,863,122,031,328,520,891,852,699,240,960,170,249,919,156,310,071,134,
045,391,162,112,299,507,990,458,583,194,449,300,864,285,862,101,788,074,835,
370,475,808,897,014,859,888,826,646,314,308,271,144,566,847,616,950,105,530,
865,220,851,688,747,653,687,412,798,285,191,066,125,487,271,738,676,132,745,
849,996,591,671,461,226,010,694,455,279,309,974,884,808,444,610,057,109,132,
769,814,789,007,280,436,173,605,486,009,869,677,161,739,609,428,358,487,893,
274,121,012,328,389,647,383,677,076,087,834,789,505,603,449,775,630,118,523,
337,727,535,986,191,931,156,361,808,684,579,608,909,175,750,014,594,192,148,
452,325,329,760,078,274,823,189,295,993,837,451,194,886,679,647,927,674,974,
116,909,700,333,062,363,915,861,954,703,060,234,258,948,312,946,987,204,350,
400,079,083,711,176,584,618,224,124,743,340,858,140,958,559,330,945,688,247,
087,860,021,378,957,525,060,251,410,152,262,715,625,705,446,358,390,544,704,
985,782,458,522,969,085,294,656,717,116,588,841,649,681,663,781,659,670,993,
551,227,927,651,306,245,167,605,972,756,295,561,788,883,172,138,893,639,180,
709,850,509,181,182,987,781,172,057,748,864,343,355,562,859,018,410,410,306,
728,841,181,183,677,386,783,384,515,725,508,082,383,368,974,084,859,439,880,
199,960,310,640,398,860,283,549,106,036,690,703,943,942,552,376,055,054,195,
159,828,290,369,981,569,507,020,751,862,037,723,813,693,166,865,246,520,931,
577,042,755,405,430,324,568,942,098,564,619,065,763,970,604,324,154,009,794,
243,985,101,525,494,350,630,465,905,207,981,845,627,541,995,546,578,695,271,
086,783,947,221,621,290,765,333,852,544,966,046,208,360,178,192,198,833,192,
967,595,813,529,216,543,979,795,728,134,819,308,140,284,619,256,451,167,936,
251,102,992,402,878,825,942,707,166,466,497,327,666,603,989,249,203,674,557,
422,295,030,715,909,951,836,906,156,421,946,936,634,227,187,121,333,976,112,
598,648,896,883,157,468,835,368,034,472,206,073,440,758,802,861,866,695,021,
508,345,433,087,745,377,173,201,265,993,077,816,626,164,564,444,743,747,125,
914,909,642,433,546,060,277,764,680,860,450,906,985,967,599,713,098,117,776,
398,956,186,935,916,275,065,332,842,017,077,911,501,353,138,984,602,784,933,
467,348,512,111,359,992,011,724,409,195,290,296,149,249,906,936,041,419,648,
145,115,797,071,913,029,944,721,652,243,071,636,975,804,213,376,125,878,206,
788,731,835,091,027,443,621,202,957,852,190,676,858,131,395,923,086,319,157,
705,236,207,054,614,595,655,883,650,170,227,377,006,090,952,957,614,423,131,
940,099,961,149,599,871,227,124,111,861,764,949,413,341,558,208,379,617,696,
139,369,149,631,929,324,363,654,833,014,697,445,221,049,092,680,767,865,324,
272,947,132,122,066,563,221,555,770,448,477,593,867,555,062,910,351,830,870,
298,131,143,336,031,359,720,124,202,426,487,711,434,672,817,309,608,861,405,
528,432,927,468,022,692,178,814,044,067,054,782,037,981,155,248,543,694,008,
865,657,022,851,267,428,255,127,469,179,761,216,937,148,535,611,390,932,078,
851,845,645,912,260,739,527,957,980,033,718,368,017,790,928,728,025,162,633,
285,672,321,030,578,059,799,634,411,843,976,411,439,526,612,779,434,896,896,
196,316,681,214,052,268,618,832,418,906,258,670,228,196,952,138,400,261,727,
738,546,072,970,174,716,556,571,501,427,510,993,165,182,060,786,312,827,402,
968,890,966,452,608,474,074,348,079,411,347,050,565,492,054,942,092,684,277,
878,991,321,889,465,317,287,129,503,576,055,815,713,566,082,448,206,050,641,
970,953,798,430,040,474,050,124,250,251,241,631,574,820,648,950,670,441,292,
049,525,444,636,889,642,627,959,692,007,651,282,542,167,892,832,416,399,529,
677,887,674,786,645,725,212,070,086,857,615,117,007,606,997,347,852,675,387,
425,609,952,559,291,553,645,415,381,511,652,313,823,008,296,256,511,486,915,
460,962,923,867,891,224,772,428,240,498,936,616,720,993,266,937,297,394,107,
125,861,449,390,036,198,123,547,906,341,966,532,596,931,262,143,323,546,095,
442,011,209,878,444,770,428,242,249,802,742,658,243,130,347,107,834,418,409,
341,664,279,370,005,807,121,189,136,028,835,361,336,409,720,719,846,712,400,
880,902,894,197,811,936,557,624,391,002,553,700,726,610,840,444,320,156,301,
418,204,722,861,972,412,200,311,169,734,519,608,483,882,276,156,690,669,530,
804,247,427,542,096,758,235,228,269,963,028,884,517,830,375,913,490,986,273,
000,420,318,169,015,094,646,409,867,959,733,846,402,309,591,839,266,658,120,
061,019,104,743,707,182,259,649,150,500,250,131,128,798,488,199,570,656,076,
627,438,337,742,943,859,481,811,457,583,567,048,511,364,524,931,313,835,775,
683,338,451,041,904,160,086,630,731,190,130,577,136,150,757,485,515,558,665,
982,080,590,827,484,901,539,401,469,994,491,068,041,775,707,271,602,095,235,
373,498,489,264,618,125,673,347,515,859,502,916,954,294,193,036,756,667,585,
238,597,527,566,685,943,360,568,824,874,259,846,409,929,052,522,415,868,615,
465,722,772,304,821,415,580,099,919,985,425,259,088,620,935,308,675,630,163,
651,290,576,677,973,342,419,152,854,993,809,005,801,511,404,977,655,636,173,
551,523,962,411,218,351,715,823,973,253,817,877,012,157,041,516,699,487,640,
843,261,922,324,581,345,716,315,876,926,765,984,709,360,498,145,043,483,364,
646,625,262,803,853,564,073,976,896,002,468,905,800,722,478,268,168,991,390,
377,994,655,584,002,968,069,999,155,056,841,335,780,103,979,075,111,572,538,
324,875,498,791,932,392,667,519,592,069,775,970,571,689,188,797,609,655,762,
257,794,387,239,551,558,739,860,982,751,134,005,122,075,734,585,127,319,162,
422,145,635,740,677,844,323,946,789,225,835,933,381,941,094,352,765,608,915,
221,936,309,209,712,737,483,747,986,463,238,034,942,297,058,686,836,860,117,
070,796,576,866,835,288,953,562,385,363,681,305,582,716,279,029,910,571,914,
943,758,562,864,429,034,361,783,972,538,774,665,316,710,923,481,484,560,923,
720,497,056,795,705,032,772,118,677,234,486,416,393,852,556,236,794,356,880,
197,698,578,465,156,695,794,844,634,749,199,052,179,298,996,280,787,226,089,
566,105,430,311,657,726,586,611,648,250,257,473,413,757,137,157,546,791,849,
859,232,147,668,905,700,865,425,793,134,138,025,136,242,936,539,592,830,503,
985,553,663,190,848,945,847,772,796,367,173,561,795,456,484,414,632,995,730,
260,715,240,515,249,166,121,209,350,245,297,630,384,111,022,376,960,200,279,
845,469,995,884,539,871,789,739,785,902,792,394,685,446,430,203,226,978,966,
923,973,312,541,102,804,186,878,160,333,068,700,374,648,440,625,094,018,741,
069,661,417,260,122,516,218,681,012,816,749,113,442,801,757,005,655,156,926,
502,491,662,395,008,540,237,748,277,620,965,249,839,320,272,802,275,949,235,
693,975,183,142,997,795,386,439,036,251,782,928,586,433,619,058,186,908,510,
270,881,337,570,072,695,378,977,915,484,845,209,801,204,071,539,951,751,987,
124,362,766,627,644,104,360,030,565,360,963,478,192,550,501,689,435,666,713,
225,764,869,788,829,992,144,446,448,445,248,286,041,064,179,847,062,144,746,
127,895,984,166,973,863,345,350,461,892,733,792,005,808,366,353,038,721,147,
067,287,224,843,758,646,692,868,041,500,207,930,005,231,284,769,367,775,961,
912,299,603,369,018,254,202,905,492,114,101,038,152,835,611,715,715,572,278,
870,167,745,042,085,416,825,612,063,038,344,589,551,923,567,642,519,837,118,
723,334,929,619,835,610,264,499,345,843,348,982,584,129,131,433,430,914,635,
018,161,576,765,957,312,083,706,172,395,117,002,705,093,577,107,332,972,092,
793,614,783,218,223,345,461,489,186,397,843,667,670,850,974,459,193,200,029,
841,771,001,307,467,707,384,624,907,176,085,404,017,797,962,455,264,883,977,
265,053,881,919,923,006,754,996,541,184,377,690,632,316,882,161,496,959,852,
868,024,060,160,010,192,726,604,060,290,371,613,343,080,850,284,081,153,445,
231,327,874,472,133,725,162,567,034,059,868,187,622,618,135,378,553,937,096,
920,987,262,823,350,603,671,570,887,479,882,544,372,363,816,895,187,316,187,
952,547,973,893,972,695,084,037,387,333,536,775,079,923,073,996,576,010,313,
407,436,246,800,799,839,640,497,990,168,394,711,179,991,743,912,153,371,327,
223,506,794,965,415,535,836,760,997,000,818,410,954,279,405,903,988,840,516,
159,997,117,614,813,316,233,826,386,582,369,355,116,190,723,818,536,768,537,
818,244,069,480,522,616,333,431,528,771,093,322,995,942,431,270,552,792,205,
929,894,727,920,538,604,233,789,687,229,531,830,731,270,716,194,947,182,622,
167,262,179,589,963,083,950,895,432,402,929,059,284,332,312,000,137,766,203,
331,219,313,319,669,551,287,967,587,481,517,689,896,564,942,985,494,106,333,
380,438,262,395,059,339,515,421,868,438,640,615,329,517,009,711,832,497,147,
849,011,270,746,988,132,468,316,907,948,744,033,767,003,235,133,035,966,458,
337,067,661,913,664,800,822,834,028,055,999,042,967,156,099,247,313,954,488,
376,637,503,949,523,779,750,332,468,877,823,003,099,375,775,131,235,051,937,
567,819,132,708,056,960,759,144,237,540,649,602,665,748,305,759,344,696,116,
225,620,985,613,441,360,082,997,402,543,591,640,510,049,345,652,561,405,997,
041,702,441,444,403,339,325,025,096,134,123,772,743,779,457,868,968,706,144,
414,643,784,102,190,480,587,251,610,587,117,956,637,125,689,540,478,301,661,
370,906,683,612,322,342,299,224,286,992,674,899,101,811,029,278,891,863,117,
627,608,198,381,867,484,615,184,786,415,898,052,134,584,492,134,909,261,294,
070,007,987,464,634,194,727,943,337,755,455,439,770,065,179,741,917,863,917,
692,644,817,016,414,625,890,001,891,931,726,122,900,408,513,440,733,888,817,
047,566,407,973,537,762,141,529,061,873,366,128,801,823,728,170,921,337,010,
042,259,021,149,079,974,750,906,693,829,395,578,220,732,621,550,544,016,116,
332,060,601,397,175,814,835,086,491,099,019,343,309,522,660,539,886,194,249,
306,472,546,055,835,023,163,517,876,129,019,757,114,523,014,263,603,230,942,
999,651,581,393,392,690,826,631,880,024,015,848,736,310,960,390,565,366,304,
139,846,353,654,415,916,863,689,637,472,243,566,290,620,341,253,607,507,147,
451,216,360,339,985,904,382,921,821,812,253,010,957,241,288,652,541,856,616,
785,222,240,243,417,383,693,117,694,864,921,825,297,216,292,740,160,494,700,
819,105,630,136,532,092,461,138,147,873,164,371,346,433,001,397,631,230,823,
858,788,106,960,308,935,644,084,520,162,111,903,705,740,089,136,476,371,670,
290,070,163,007,042,057,342,132,213,418,726,667,920,336,305,053,491,592,610,
268,375,476,238,490,415,608,658,650,066,854,714,566,983,283,301,219,870,659,
948,369,228,723,739,017,855,173,709,787,720,220,812,342,189,787,957,902,786,
615,523,696,915,042,556,104,871,033,404,816,058,165,028,781,929,510,507,389,
242,043,059,820,043,227,703,390,361,806,130,538,700,085,371,020,656,528,895,
902,676,350,123,319,649,450,479,460,786,294,036,524,262,601,390,874,029,739,
203,833,279,803,440,720,938,072,029,269,049,838,755,734,341,398,991,150,093,
525,796,476,928,447,708,787,603,451,267,057,978,849,042,856,310,497,922,832,
605,631,654,002,999,401,624,873,888,509,029,120,230,142,263,947,657,875,161,
800,650,051,335,833,381,039,717,636,084,882,516,096,024,166,202,619,401,416,
839,933,993,353,920,085,397,297,731,545,267,288,449,281,985,585,654,801,703,
603,392,710,110,349,746,418,747,967,634,756,780,306,575,608,365,563,500,355,
493,553,834,453,560,027,621,954,999,246,771,065,881,089,778,919,439,518,990,
375,330,657,216,548,655,687,186,904,085,802,520,121,200,169,886,191,764,710,
713,306,109,019,849,817,413,657,857,918,149,716,341,836,944,581,247,992,644,
462,855,835,491,126,558,626,162,649,613,798,115,391,086,413,956,386,932,058,
184,756,524,287,889,704,302,585,541,421,242,446,473,513,670,155,200,913,008,
973,084,158,834,879,338,520,726,216,941,117,563,980,810,038,700,132,411,477,
284,411,030,277,340,247,404,280,662,306,422,131,379,421,518,561,757,088,132,
167,147,134,978,507,962,060,582,702,564,094,625,308,945,466,752,080,831,683,
797,269,022,503,093,406,243,139,679,853,226,797,941,150,302,935,063,322,930,
554,759,002,298,596,398,493,175,533,866,132,069,310,553,943,138,916,887,187,
078,396,671,608,998,412,211,697,598,962,885,076,651,825,781,405,764,079,716,
852,953,645,412,731,070,460,261,619,636,134,910,087,777,822,489,536,034,337,
914,324,509,510,363,133,258,014,614,529,030,614,944,506,986,790,081,334,502,
751,633,400,130,783,031,217,959,350,182,693,458,485,010,033,419,499,334,102,
990,468,303,167,550,928,946,849,477,196,798,284,515,989,874,817,367,044,219,
437,855,361,941,630,556,192,277,706,630,206,320,843,638,229,896,653,123,276,
596,379,763,694,289,339,580,945,296,205,529,077,545,583,671,579,207,714,350,
336,890,084,966,592,231,771,748,508,913,781,267,071,623,606,518,951,514,188,
056,678,747,779,511,549,432,744,186,378,423,702,736,930,952,613,454,242,354,
443,598,708,597,878,915,984,913,610,904,527,751,077,871,212,707,600,917,727,
025,879,661,378,649,972,800,511,054,392,733,072,633,371,018,835,336,581,575,
915,267,888,623,562,569,260,909,623,628,346,248,668,607,696,010,800,164,502,
910,051,837,069,778,720,003,146,288,356,940,920,843,112,461,413,078,624,604,
751,548,965,465,947,481,218,804,702,285,296,990,435,168,618,044,135,524,720,
126,098,521,313,719,031,156,305,558,185,221,519,017,024,876,645,477,777,957,
507,867,584,336,587,027,999,501,816,615,624,413,324,895,105,039,247,158,121,
915,689,102,136,917,125,140,102,455,630,358,184,851,363,629,411,051,347,863,
192,874,461,357,567,970,840,296,723,434,049,134,766,395,798,035,381,025,806,
827,822,857,518,881,282,503,410,735,025,779,256,125,247,145,195,109,644,801,
992,912,308,626,274,815,257,383,240,937,776,756,036,668,383,938,020,509,211,
476,917,891,779,221,649,752,886,287,571,831,676,009,257,008,277,151,555,532,
047,654,459,934,438,055,234,579,621,458,203,216,691,636,455,946,256,806,750,
304,198,928,085,230,431,898,014,579,741,703,884,576,183,257,874,021,728,196,
326,779,532,115,027,135,623,196,170,440,997,528,820,587,298,163,463,842,726,
266,153,868,204,078,844,583,498,583,881,877,550,585,696,819,729,725,606,211,
892,898,050,747,365,874,889,991,101,259,883,105,656,388,432,294,720,462,435,
458,071,212,056,264,302,033,743,840,877,305,232,564,930,144,742,275,150,617,
938,495,428,090,910,864,664,893,743,272,420,909,681,355,028,074,237,925,418,
923,028,494,650,294,322,365,659,020,952,824,580,110,023,385,557,355,339,217,
036,906,173,397,610,263,957,446,482,695,563,823,327,295,737,180,541,628,680,
370,201,345,700,011,925,575,275,202,220,894,965,969,998,053,501,025,696,310,
904,477,680,015,250,884,966,635,711,481,640,028,504,538,415,970,971,222,525,
081,743,852,304,271,895,142,431,499,917,722,813,227,894,911,229,627,273,826,
742,220,586,417,554,594,904,471,083,422,450,431,920,331,291,788,786,620,350,
738,764,546,164,123,774,903,210,941,632,489,415,986,477,791,731,365,427,906,
907,039,287,930,041,063,191,864,319,291,902,708,494,752,441,733,967,543,157,
779,301,998,623,938,921,150,247,042,011,538,984,431,931,814,329,291,385,819,
899,506,099,314,766,418,236,428,173,122,421,067,397,897,351,344,267,405,265,
482,439,844,743,788,837,963,220,742,163,584,962,010,776,816,151,929,757,656,
431,912,835,555,643,983,431,457,429,850,162,045,087,899,997,235,618,604,833,
068,797,436,674,399,597,134,648,703,397,694,584,750,606,053,169,796,712,825,
524,157,716,035,634,656,365,506,140,049,743,682,087,607,484,776,969,444,303,
188,893,150,595,012,957,921,382,034,806,396,942,677,059,942,166,998,103,655,
295,918,508,038,500,992,056,415,044,775,668,415,461,991,576,728,893,462,270,
337,399,983,390,268,672,103,694,666,136,551,006,700,797,525,986,765,788,921,
686,337,533,848,488,138,036,258,977,329,599,013,160,517,118,915,085,276,257,
213,694,802,989,837,992,569,691,019,900,041,181,772,065,164,178,692,802,110,
120,445,503,758,187,218,391,945,763,791,832,028,198,129,819,611,185,891,976,
913,805,305,405,176,923,614,063,731,152,674,313,954,046,053,263,234,251,223,
061,286,074,870,032,775,359,603,387,493,859,271,179,974,309,286,452,305,913,
920,270,456,765,459,809,463,505,851,039,620,124,429,736,918,904,254,363,087,
554,326,928,976,040,930,576,353,610,282,060,498,472,031,750,878,842,919,214,
238,141,248,433,161,722,398,379,431,954,835,914,212,919,488,676,013,345,053,
335,086,827,865,147,633,206,886,380,768,157,260,885,168,885,527,888,947,649,
389,653,612,081,735,451,535,166,583,193,324,279,073,082,359,022,935,621,191,
841,604,139,036,199,371,249,405,718,125,850,069,780,932,175,396,023,411,563,
967,375,115,863,430,707,139,836,402,498,463,422,010,058,327,649,075,514,324,
885,276,722,160,479,205,384,839,788,449,293,680,139,626,035,564,577,473,292,
219,560,152,332,207,766,980,282,847,245,694,644,997,431,482,801,915,997,590,
721,218,175,168,299,165,639,617,806,443,046,578,067,064,327,124,048,880,815,
046,344,181,006,741,488,579,057,063,299,490,536,256,776,103,782,506,660,173,
565,959,002,929,026,401,048,203,790,811,802,020,168,097,135,186,618,610,800,
677,104,933,832,890,344,089,622,128,425,598,024,042,382,449,986,604,491,531,
669,259,692,178,403,188,039,977,026,607,397,857,627,761,752,047,921,415,816,
630,602,610,898,382,236,615,644,686,690,864,025,006,561,979,398,369,715,482,
798,919,811,804,852,780,461,932,325,293,379,264,661,444,861,190,922,055,690,
833,872,363,752,134,985,309,428,366,829,521,765,278,328,719,181,951,876,094,
491,206,648,484,898,821,219,581,649,825,970,610,505,326,611,849,568,638,074,
738,660,377,899,528,460,413,106,565,460,628,005,491,203,802,418,897,393,963,
694,789,480,344,527,833,937,230,233,370,245,626,774,166,331,450,639,456,502,
634,403,506,413,938,139,721,639,870,088,261,632,310,815,107,441,326,443,308,
011,283,487,556,169,538,237,248,901,350,677,273,872,047,319,200,084,262,570,
713,431,412,871,672,106,755,309,379,192,099,403,843,095,561,474,169,426,010,
580,029,367,401,815,396,685,387,311,092,062,083,842,412,429,117,691,175,807,
155,219,565,244,987,465,350,931,099,649,609,927,972,418,919,149,747,626,431,
187,431,432,796,685,025,398,516,500,021,134,338,424,493,853,021,497,385,858,
683,410,500,711,750,752,834,942,049,029,905,578,453,712,369,687,920,850,559,
317,815,337,474,615,212,815,189,652,161,466,869,929,270,083,364,349,577,867,
045,967,755,442,427,804,826,421,291,208,801,186,438,736,742,839,817,473,563,
550,749,344,996,446,889,993,160,783,968,615,666,597,170,292,372,778,052,482,
175,012,893,803,282,769,917,307,448,753,001,985,651,330,709,617,626,597,459,
017,054,928,516,469,650,466,533,729,392,028,718,042,581,061,516,693,774,182,
313,346,094,508,799,046,638,217,006,858,750,172,246,642,475,371,203,801,553,
909,300,897,220,602,697,417,204,024,723,364,468,399,271,400,967,699,092,721,
100,687,471,342,956,159,707,108,074,739,602,729,574,411,318,384,437,989,528,
766,214,788,019,836,151,864,321,219,547,878,967,244,905,921,572,782,012,526,
865,957,095,648,512,823,274,941,918,098,306,158,080,084,576,440,234,224,570,
082,378,299,966,141,450,672,085,628,094,676,654,935,873,991,654,954,501,339,
984,952,996,486,642,551,442,099,439,873,313,136,343,761,770,873,025,570,652,
839,159,598,428,393,411,111,122,545,135,305,016,364,819,156,817,396,825,354,
099,423,333,747,860,632,816,071,839,760,647,694,331,061,279,235,093,038,364,
174,672,620,066,091,626,071,456,260,172,606,257,684,902,429,045,131,583,989,
441,920,073,639,370,038,947,302,109,382,405,460,758,010,352,750,792,959,349,
292,834,029,742,001,841,991,609,932,231,453,975,314,730,529,527,341,664,515,
965,240,584,918,244,175,883,271,876,943,322,095,083,307,421,532,268,639,093,
827,081,657,598,829,780,827,377,427,036,818,717,641,796,994,810,219,997,734,
944,178,747,588,198,484,959,646,712,088,651,960,478,656,472,412,984,462,138,
843,181,611,178,046,076,643,851,805,190,937,624,388,082,635,533,999,465,265,
709,003,361,466,271,545,694,188,675,453,912,622,668,316,596,599,153,485,358,
656,339,015,775,697,382,780,239,560,219,032,976,228,128,233,180,551,679,700,
681,581,780,587,159,394,327,302,111,781,769,333,857,612,377,909,913,621,542,
894,258,937,794,459,549,389,654,361,638,504,827,016,980,641,144,142,191,137,
267,331,103,209,427,513,951,596,576,168,219,835,918,262,787,751,639,556,125,
877,328,125,046,494,738,461,192,795,800,857,940,475,693,096,999,103,792,827,
098,610,668,033,511,651,524,512,928,729,853,761,161,280,188,350,604,409,344,
632,623,039,548,190,722,899,396,981,115,268,467,699,867,223,032,805,475,119,
617,965,782,798,471,986,606,424,657,088,952,285,555,753,148,857,288,894,771,
283,520,920,605,020,653,127,260,401,983,916,886,090,354,112,896,731,910,019,
275,625,071,133,036,170,173,389,446,372,279,155,389,478,465,156,888,983,164,
832,761,236,178,107,079,937,557,584,002,660,518,868,245,683,912,678,600,091,
513,558,436,689,616,133,751,051,583,346,943,556,740,344,531,641,702,821,425,
466,904,262,535,040,419,199,689,950,875,915,877,423,278,102,878,921,384,123,
447,288,534,271,401,467,983,666,148,844,587,926,356,142,211,734,814,859,113,
155,539,186,942,462,346,336,382,965,646,982,801,869,928,293,741,495,543,566,
802,443,339,165,661,548,763,635,050,964,032,861,389,422,443,373,395,547,426,
916,523,741,141,104,140,311,238,346,015,311,232,567,976,537,672,244,269,887,
134,262,333,958,982,973,497,572,876,323,621,356,421,718,383,379,351,087,826,
772,350,332,634,974,475,051,840,256,948,270,896,463,173,480,138,850,953,756,
025,049,965,820,997,243,322,414,804,786,180,537,272,786,194,300,393,970,754,
562,140,637,572,189,737,717,399,443,960,533,883,018,632,662,073,009,254,767,
930,014,171,507,272,265,267,165,855,499,446,645,364,140,892,976,589,310,346,
907,683,770,505,828,973,262,863,890,274,044,608,672,526,486,409,324,251,642,
035,444,325,418,060,598,612,765,259,447,934,996,590,617,505,855,555,874,566,
561,944,007,148,240,117,378,315,696,938,789,035,033,495,876,615,201,484,877,
821,158,795,589,417,355,246,910,751,794,718,058,982,814,068,771,296,228,606,
612,294,775,535,122,852,168,490,122,560,376,673,495,903,706,055,309,385,100,
908,448,722,108,608,433,001,372,571,774,596,722,883,328,198,897,258,966,033,
527,732,812,117,804,725,794,361,722,589,415,393,299,318,978,788,660,314,183,
698,976,814,621,322,304,087,180,673,055,578,956,259,355,461,312,757,200,565,
876,083,846,166,178,307,361,796,860,319,403,350,674,271,006,466,076,515,602,
214,771,584,413,031,598,927,609,525,193,274,372,960,207,689,626,891,506,080,
720,712,007,780,001,704,317,302,844,355,618,505,548,666,444,441,339,161,060,
010,201,698,281,604,035,480,916,846,542,205,123,794,900,237,911,701,684,962,
952,744,827,522,458,667,214,047,036,926,176,207,038,998,082,805,724,145,009,
119,538,461,187,688,417,742,470,873,910,094,699,373,215,538,693,496,975,373,
119,767,298,669,604,499,576,538,716,526,284,775,408,095,108,447,113,919,420,
897,846,166,968,715,271,072,620,837,992,332,236,705,544,907,233,203,944,216,
819,684,891,778,282,787,913,599,820,083,128,518,643,326,034,495,281,279,973,
659,276,854,279,876,206,985,669,971,657,274,299,155,213,154,815,994,592,562,
761,634,745,546,433,242,258,398,159,749,420,412,316,288,675,545,823,394,459,
747,653,559,641,686,632,051,723,260,886,016,232,463,649,304,388,342,787,339,
989,783,045,388,643,200,472,688,018,117,309,148,697,902,220,960,503,540,521,
172,946,654,542,260,028,623,009,387,099,851,405,338,171,931,313,749,148,045,
393,351,431,255,200,811,742,095,331,809,521,114,264,773,206,781,525,318,873,
955,097,510,105,177,367,794,989,371,470,909,037,401,881,960,827,417,809,151,
586,258,778,477,939,891,825,852,676,436,938,692,955,141,418,924,860,713,973,
800,397,772,176,974,765,341,664,549,995,197,213,154,299,805,037,204,649,492,
556,561,201,311,031,242,775,001,938,043,006,090,992,719,633,928,763,953,745,
783,174,065,899,265,936,450,785,386,504,609,986,717,376,963,496,409,586,586,
063,449,315,719,066,977,835,883,763,913,630,636,076,834,015,206,100,222,465,
554,448,164,505,811,300,857,217,874,199,370,465,910,306,910,707,875,007,082,
716,388,266,940,892,986,599,186,313,582,691,915,992,432,465,601,081,389,866,
254,400,816,409,902,119,659,848,362,449,840,272,549,276,457,535,700,155,039,
654,464,758,162,341,172,982,950,913,578,037,754,292,196,092,493,797,653,245,
974,025,637,113,343,507,636,486,321,475,051,906,598,882,435,355,397,743,210,
216,200,368,493,588,345,045,216,252,503,308,099,292,341,205,035,953,284,900,
347,432,405,557,479,789,398,955,029,827,921,808,263,036,666,283,006,504,225,
834,294,643,856,126,633,584,454,505,975,232,425,287,576,865,921,376,321,683,
138,515,018,289,612,080,381,527,276,944,738,921,912,909,621,069,418,613,700,
052,522,636,229,392,050,521,515,557,926,942,436,095,501,663,574,812,443,348,
584,597,329,923,835,035,941,954,531,533,181,448,779,662,128,223,646,275,395,
227,881,209,128,858,054,489,478,322,618,649,130,936,667,792,895,728,526,403,
635,129,108,964,833,834,242,314,372,971,279,925,013,749,540,474,717,702,665,
955,582,850,500,597,935,954,939,287,002,795,366,582,470,954,226,941,457,067,
350,467,475,790,238,068,017,386,503,467,261,067,247,000,501,288,205,063,086,
162,303,444,211,970,444,702,526,290,712,683,870,255,105,720,227,323,411,237,
168,725,166,520,702,327,058,684,079,592,528,025,698,765,780,871,512,372,650,
336,840,879,520,038,119,157,800,558,984,883,669,240,731,301,989,940,799,888,
514,704,141,939,792,439,539,468,113,990,643,832,803,047,229,895,434,728,041,
776,662,188,386,852,985,666,683,564,600,872,530,628,331,650,659,926,801,296,
682,313,762,796,778,522,691,832,880,373,171,133,503,425,657,708,973,035,738,
969,806,983,665,612,451,344,006,011,611,072,579,994,521,722,430,630,656,421,
982,217,404,733,409,771,380,943,916,613,312,598,044,112,735,195,093,059,321,
142,923,693,325,443,225,088,992,554,730,835,821,682,310,696,268,161,964,975,
765,461,365,991,064,886,613,929,844,037,330,094,968,143,726,830,423,944,296,
911,656,129,381,658,350,532,894,772,028,768,262,420,653,868,885,004,731,720,
115,170,370,461,277,199,984,034,402,464,016,360,716,614,074,414,930,165,402,
114,269,017,644,472,926,197,561,189,158,271,558,408,595,741,153,945,297,977,
142,264,766,387,609,921,271,800,240,075,672,979,134,551,112,139,580,636,564,
049,116,265,541,877,141,013,901,463,713,507,571,282,027,773,036,132,240,682,
395,303,644,496,071,828,178,528,508,875,678,669,531,243,374,574,229,412,477,
918,276,465,311,264,471,101,077,530,197,386,210,540,181,554,642,234,385,680,
575,971,758,536,297,195,930,751,534,860,239,601,515,256,685,839,293,099,798,
456,855,846,956,389,591,676,782,440,384,768,806,146,594,757,727,965,546,143,
516,257,587,346,971,358,742,360,991,452,166,565,260,221,382,031,763,625,818,
598,451,723,439,887,685,664,182,918,275,614,592,304,877,967,707,909,740,860,
375,486,043,928,723,883,251,258,461,666,439,348,844,945,513,072,314,450,698,
658,600,977,185,856,159,609,048,668,829,408,286,052,377,655,981,320,915,170,
416,513,241,860,201,626,263,817,891,882,507,101,632,323,928,707,927,569,630,
866,261,598,137,277,823,205,133,900,694,424,688,133,481,455,232,104,981,709,
757,110,043,837,157,541,459,926,515,028,775,320,918,688,880,533,518,727,521,
841,873,750,006,742,893,537,469,072,796,193,788,045,872,252,929,332,996,684,
537,363,387,952,871,564,790,913,680,376,196,676,188,112,823,955,973,567,478,
188,153,216,856,360,126,255,654,968,002,935,610,636,754,229,865,444,326,368,
566,791,071,048,588,965,643,044,594,107,673,560,823,805,792,693,445,059,119,
370,306,008,027,935,608,726,165,870,162,647,328,422,666,584,348,106,912,077,
739,934,751,142,254,902,034,130,642,801,124,660,098,787,458,286,072,669,357,
620,061,202,037,775,078,655,144,388,861,597,636,330,710,409,362,251,620,777,
313,140,511,253,867,497,441,675,849,382,513,501,716,681,761,539,634,129,641,
841,797,975,801,004,277,523,473,158,204,146,212,458,605,745,820,164,498,883,
267,970,742,506,632,212,349,881,853,898,156,356,969,518,591,711,742,186,281,
697,017,193,995,018,425,966,915,797,722,407,589,496,102,280,306,173,387,148,
965,806,863,094,454,811,184,599,588,722,445,726,328,925,706,135,482,343,075,
516,473,954,294,481,445,757,084,770,650,626,801,130,215,363,329,295,766,923,
309,162,062,010,974,416,815,418,015,750,893,881,770,582,726,698,254,923,885,
178,402,893,731,543,937,433,851,299,673,401,857,107,659,108,004,845,265,268,
943,007,332,045,528,897,642,051,570,739,079,574,150,087,572,539,171,527,447,
504,573,819,557,394,791,410,505,288,129,230,001,527,858,228,071,736,577,801,
446,051,652,633,323,798,650,469,501,315,598,837,245,438,562,312,210,123,945,
508,573,905,731,923,438,548,809,113,965,909,357,625,736,681,256,291,401,126,
422,554,359,280,222,936,055,086,243,376,213,998,453,337,982,498,554,327,954,
135,211,850,016,423,650,503,000,256,207,110,079,979,906,607,989,685,663,033,
135,086,508,303,151,556,556,753,268,019,244,169,317,747,435,261,762,669,713,
948,845,675,195,213,275,556,085,643,239,024,277,961,958,695,441,623,894,255,
701,068,304,136,516,585,183,195,324,883,947,247,417,225,693,639,255,076,705,
544,916,314,461,906,532,117,339,566,746,182,547,998,447,978,638,109,040,434,
048,728,380,106,215,959,631,908,663,374,477,569,659,143,293,841,055,326,495,
912,879,631,691,675,904,829,301,510,407,255,858,455,612,527,366,674,021,793,
065,122,522,342,990,669,813,971,820,209,933,076,342,597,828,306,188,503,684,
206,620,485,898,251,688,431,190,198,282,976,771,270,029,938,470,683,920,567,
302,666,018,789,196,664,979,212,394,756,562,566,781,303,488,842,058,919,669,
355,729,492,329,424,003,172,447,874,191,866,983,183,982,077,113,719,452,168,
770,530,868,882,450,889,503,988,152,190,984,066,720,058,699,629,966,952,054,
708,949,997,259,536,216,847,987,592,227,094,914,246,585,815,580,358,818,425,
716,434,798,358,801,282,587,029,285,568,516,328,265,160,156,859,760,895,645,
145,328,192,779,107,199,275,771,311,323,349,850,186,998,725,500,160,983,008,
407,413,280,338,214,076,231,485,239,556,072,558,259,688,346,302,408,684,611,
819,931,636,543,096,355,211,996,915,197,173,860,975,260,620,507,713,269,955,
223,421,201,042,002,237,433,166,113,283,318,267,265,468,893,564,952,050,723,
555,839,861,020,016,251,171,435,611,755,956,227,255,662,761,443,393,045,573,
579,942,003,588,917,222,298,428,881,964,371,511,142,463,552,808,932,127,763,
278,799,992,437,863,127,034,747,123,485,756,662,808,610,649,580,601,155,836,
010,338,146,195,092,570,667,219,394,825,754,151,936,841,398,774,276,896,331,
761,790,155,647,623,032,222,770,501,195,670,236,435,256,074,026,595,112,272,
510,024,426,179,698,608,804,660,908,560,708,060,194,578,151,831,708,322,106,
072,749,577,921,249,524,880,387,290,635,377,454,060,678,582,154,216,995,688,
245,566,633,658,254,020,475,470,707,325,822,187,814,103,477,363,700,093,479,
508,157,925,413,635,491,294,904,898,754,718,310,782,479,847,531,171,909,069,
809,140,334,293,245,106,272,457,859,855,448,582,409,990,912,039,944,447,507,
769,613,261,548,409,955,420,949,576,092,494,732,082,290,373,496,288,885,730,
053,681,068,730,880,337,089,577,859,131,020,431,909,983,808,371,134,844,430,
812,856,009,742,835,768,886,459,357,971,810,247,768,021,773,897,345,082,617,
217,710,308,092,384,613,534,783,399,007,347,696,140,194,065,909,389,372,987,
753,729,032,128,903,350,348,927,318,645,435,534,274,649,739,756,309,853,502,
488,296,156,421,700,029,317,650,725,983,015,466,425,601,553,304,942,642,787,
667,248,915,141,266,806,743,214,590,575,294,908,400,771,420,153,766,554,141,
699,210,515,581,790,456,286,644,768,485,958,273,700,099,153,986,569,972,025,
027,343,040,498,120,720,887,911,948,130,026,269,256,828,885,421,495,500,075,
000,985,667,611,928,506,931,482,390,814,629,595,163,152,609,226,702,153,066,
083,689,392,265,195,300,331,457,174,604,814,774,820,122,272,081,686,107,074,
969,962,987,627,556,637,097,203,875,469,071,954,062,829,666,077,008,415,046,
769,114,784,494,958,647,276,772,485,154,543,445,089,663,023,813,029,678,323,
221,713,103,926,701,702,680,442,358,525,046,573,162,095,258,476,662,369,345,
274,136,643,799,949,688,895,072,784,124,279,396,017,207,963,029,089,879,456,
272,909,816,575,537,711,753,918,241,453,751,141,870,484,318,703,852,959,298,
285,379,451,599,430,199,617,415,606,820,870,050,002,762,336,256,673,742,886,
223,345,581,792,474,965,302,328,249,018,337,776,527,314,229,772,804,093,507,
174,049,166,216,345,276,043,873,489,844,459,830,798,661,917,648,430,110,179,
035,156,811,368,656,464,211,328,611,356,345,530,471,582,165,927,421,705,527,
200,078,550,756,524,130,244,863,535,719,853,500,264,049,018,460,654,478,822,
942,794,134,740,830,989,727,607,057,010,963,799,313,877,568,267,644,225,864,
785,199,678,533,177,421,546,409,182,501,757,483,003,155,396,613,010,232,215,
426,359,254,812,163,451,264,610,052,703,983,347,015,978,210,239,523,358,047,
663,033,742,054,981,834,197,755,912,817,234,409,916,183,931,835,911,793,586,
761,330,437,693,307,760,978,653,918,146,875,051,356,202,573,665,383,417,532,
670,906,333,428,973,007,124,876,728,474,007,803,273,494,788,130,706,142,639,
444,074,844,891,357,555,271,443,084,531,797,726,856,488,468,660,179,566,954,
369,499,500,690,506,744,374,388,131,497,982,020,261,381,641,108,051,528,868,
017,466,664,422,011,410,077,573,863,083,302,961,519,395,662,418,423,917,761,
113,099,362,349,957,154,381,187,999,562,646,251,012,267,889,043,015,492,227,
379,483,189,997,819,812,119,704,853,680,748,619,240,248,801,632,369,696,258,
510,364,355,457,799,784,083,890,112,599,682,282,087,922,441,665,014,751,583,
984,499,287,538,544,831,423,832,887,990,853,444,116,947,379,444,654,038,477,
011,933,442,403,557,304,976,050,687,841,098,466,817,816,716,736,280,371,292,
052,067,480,228,015,276,025,438,912,090,888,238,466,372,187,685,602,637,069,
140,929,303,723,208,600,680,488,249,012,442,216,266,044,920,709,694,680,388,
974,440,807,951,698,812,267,533,404,648,979,643,057,467,799,720,702,757,053,
310,567,403,514,495,295,743,491,593,804,957,040,928,345,764,622,569,649,465,
423,881,887,439,355,714,722,686,192,952,498,641,855,208,020,404,343,941,465,
731,812,546,952,882,686,391,174,892,419,959,878,035,643,199,504,462,493,751,
580,998,895,792,076,904,785,845,560,049,356,626,375,866,176,549,246,361,816,
219,636,345,169,166,240,519,135,722,069,113,644,427,985,641,169,327,467,548,
825,660,776,428,442,806,215,166,227,573,037,093,757,408,186,749,239,407,556,
446,462,295,452,455,676,264,004,571,679,849,109,481,238,401,553,251,093,814,
511,177,798,739,239,901,208,786,655,844,872,754,255,498,426,390,354,155,664,
051,207,730,091,503,604,737,081,345,089,908,483,517,482,057,229,799,267,163,
053,932,064,989,450,268,602,386,568,700,334,540,672,399,628,128,154,859,921,
651,322,851,003,296,834,685,659,248,207,820,992,660,599,389,374,635,732,069,
740,711,053,976,718,947,848,230,086,219,028,376,388,594,082,648,490,925,657,
313,027,682,228,801,840,067,068,468,172,289,811,973,444,147,297,255,650,582,
218,006,175,499,436,889,756,017,643,126,667,041,780,572,718,360,349,809,996,
611,911,298,319,680,746,200,225,722,125,385,049,632,775,794,200,700,831,118,
349,242,933,132,238,838,896,274,025,800,065,279,922,713,809,036,634,003,536,
299,450,212,530,030,741,388,244,920,061,335,709,142,091,720,053,045,766,383,
271,514,912,756,580,780,471,025,370,980,238,334,421,651,082,267,620,515,746,
414,288,881,843,048,523,301,377,291,360,691,266,944,867,698,898,485,175,976,
876,884,022,076,257,575,663,057,307,120,056,900,389,279,142,662,031,791,087,
481,114,420,005,257,422,095,246,187,981,436,116,550,149,966,586,888,357,217,
795,173,898,019,452,880,409,455,114,463,488,478,410,805,682,721,957,698,881,
533,004,113,951,978,615,402,815,114,046,394,228,475,079,198,567,681,284,085,
408,248,813,077,492,577,089,516,227,532,825,600,780,387,863,447,453,196,446,
238,311,372,392,398,878,283,276,263,442,888,967,661,094,557,517,498,944,908,
985,391,118,401,595,665,270,161,932,307,033,864,146,655,857,675,062,298,193,
742,443,548,770,826,964,843,568,515,309,398,255,501,113,861,313,195,762,371,
359,117,053,545,692,763,065,126,644,758,222,126,881,325,259,634,876,297,276,
030,189,438,337,289,511,240,908,391,713,254,830,976,070,834,289,532,676,334,
276,160,276,866,886,659,495,577,140,552,554,886,404,393,792,578,976,522,880,
017,590,750,058,147,046,097,967,549,113,432,141,213,680,453,504,490,097,792,
191,117,598,947,668,818,677,420,847,331,063,085,581,712,607,864,853,820,935,
461,399,345,442,625,379,451,517,701,559,059,274,445,263,024,307,417,192,381,
099,251,497,953,663,822,063,745,867,737,008,013,637,905,911,804,950,185,011,
633,419,805,553,990,458,242,819,257,734,033,537,573,448,642,625,610,258,015,
790,982,447,642,874,896,547,218,618,985,111,759,465,141,031,185,362,041,182,
873,036,268,900,579,963,261,472,247,879,640,567,253,961,621,189,527,241,570,
181,140,187,304,544,580,476,958,155,227,953,989,240,053,742,509,944,457,053,
046,014,323,358,786,895,524,859,974,378,287,477,623,123,987,988,000,374,608,
151,453,059,602,204,663,791,776,536,598,120,257,363,008,908,544,320,745,013,
256,121,890,092,633,186,376,828,927,850,553,574,842,843,008,739,261,818,364,
835,584,772,484,296,778,323,995,368,044,947,138,380,406,674,322,558,146,527,
716,419,869,227,203,823,427,556,676,715,084,179,826,052,731,808,970,687,013,
725,248,116,481,525,142,045,388,180,465,054,188,106,279,412,659,323,486,296,
851,178,248,021,175,786,891,758,019,571,692,958,519,134,142,592,717,937,697,
325,753,316,239,934,307,570,367,883,246,306,652,137,072,456,399,762,456,829,
038,513,021,205,643,501,472,254,406,903,838,234,451,963,234,621,420,923,121,
124,679,134,745,177,103,465,989,410,290,350,644,487,906,387,632,369,745,080,
274,469,828,742,778,650,611,177,938,350,233,864,849,284,017,973,438,980,182,
060,036,708,076,662,152,195,136,603,613,543,885,607,067,487,546,562,529,073,
418,612,022,717,117,764,624,760,155,630,494,997,653,712,583,266,445,314,125,
749,507,609,621,135,605,689,808,570,545,606,237,450,143,190,449,807,152,502,
916,484,692,014,624,212,211,945,632,329,089,229,853,255,987,069,876,097,009,
808,851,318,757,580,587,883,130,768,254,878,008,002,113,948,587,724,544,194,
073,728,393,659,324,410,102,177,497,688,603,989,965,884,792,003,495,897,405,
161,792,336,835,893,479,811,924,566,323,773,905,783,736,096,667,370,691,129,
996,107,519,160,203,429,941,047,425,249,711,141,463,706,814,442,299,746,666,
081,836,101,753,034,460,504,855,515,643,192,727,023,710,574,813,083,649,414,
110,298,363,314,812,219,575,145,636,772,040,587,878,534,743,963,252,575,714,
346,240,641,021,367,743,835,713,367,925,617,150,632,373,892,400,172,177,239,
498,067,998,317,184,031,673,387,130,617,262,768,401,044,667,151,976,470,082,
414,577,569,985,357,115,379,064,376,777,665,636,338,161,657,220,689,835,140,
656,719,113,598,128,305,677,609,507,882,390,689,265,413,932,600,005,375,584,
322,475,119,222,292,333,261,698,656,227,115,882,099,597,929,633,572,111,946,
867,471,203,018,226,319,799,692,253,389,267,025,849,153,759,175,728,136,664,
232,705,467,932,420,933,073,476,505,295,846,346,326,123,502,725,545,027,609,
572,224,147,704,808,586,901,785,659,112,424,716,402,334,644,328,166,350,978,
819,434,130,838,819,762,744,496,577,423,724,510,935,413,066,903,508,386,575,
838,138,446,013,105,493,827,544,086,238,135,573,275,415,896,230,294,519,380,
879,753,822,301,518,069,435,820,787,373,259,414,382,054,363,587,551,208,559,
673,564,782,493,638,216,244,080,687,215,127,604,531,626,881,218,021,708,137,
178,602,642,849,428,466,216,833,969,047,916,992,919,357,515,893,316,179,192,
553,856,647,543,411,399,416,523,604,756,208,610,077,289,388,286,577,736,668,
108,067,547,758,619,684,682,716,460,488,360,611,680,438,647,565,980,318,887,
432,743,503,805,858,870,071,411,406,825,847,339,302,130,215,734,783,099,879,
918,964,157,821,752,448,241,678,293,625,977,021,717,299,146,408,750,543,436,
192,135,001,315,793,068,219,658,801,182,599,655,335,584,270,152,295,062,802,
167,142,758,928,049,536,773,647,436,825,558,294,211,745,446,075,085,479,797,
795,889,675,177,095,246,021,048,841,441,434,374,419,130,011,839,545,599,054,
598,819,787,336,782,414,099,657,856,071,523,223,610,658,108,609,846,651,438,
904,521,207,959,999,771,504,352,241,489,804,986,062,891,972,216,337,282,288,
162,289,547,759,018,851,567,715,791,396,358,176,722,489,315,274,737,094,982,
575,231,011,822,425,051,472,362,031,155,407,843,331,292,059,554,272,384,267,
487,354,115,267,500,867,340,936,535,643,058,979,113,297,961,315,785,595,436,
706,139,728,300,369,891,394,668,198,486,452,994,201,096,113,504,551,954,713,
362,878,975,757,448,699,892,037,125,013,703,822,880,917,634,642,300,126,957,
225,346,234,501,327,708,708,316,087,539,437,564,133,571,596,680,226,481,078,
242,586,607,339,048,630,315,342,897,811,857,592,847,267,297,639,892,239,528,
503,725,020,401,657,565,912,155,595,568,580,310,293,809,469,019,477,659,758,
391,106,334,259,666,894,668,634,030,288,532,993,973,821,964,021,878,514,913,
785,925,224,782,017,943,428,466,131,903,760,437,940,712,359,601,102,633,646,
635,657,602,443,205,886,993,115,705,886,427,098,909,052,720,038,184,000,181,
889,261,089,761,645,310,015,257,821,273,874,055,743,132,088,715,935,529,784,
595,643,901,124,654,481,889,927,584,873,420,695,595,896,152,006,598,184,055,
251,984,796,913,689,501,155,410,961,152,875,390,622,940,960,387,391,175,727,
507,003,158,322,908,222,624,593,960,612,683,705,176,720,275,883,098,301,159,
876,348,972,045,840,591,532,860,355,325,146,559,435,866,065,607,444,046,962,
479,917,174,041,256,774,842,841,613,967,542,692,140,172,050,730,385,321,329,
404,189,839,366,827,845,911,982,663,393,807,857,752,045,883,260,089,406,911,
590,584,820,956,307,915,203,285,374,833,086,690,868,969,403,536,522,982,079,
807,677,447,530,599,512,009,441,393,999,427,918,925,364,917,438,261,870,012,
238,461,684,515,580,104,857,057,181,159,040,073,568,674,423,854,032,327,717,
059,508,545,409,407,606,078,063,429,158,570,495,087,198,574,780,145,079,906,
374,132,119,854,424,531,526,656,996,586,961,799,653,724,897,426,417,824,015,
057,060,365,166,581,917,882,713,260,460,362,477,635,913,778,433,294,269,953,
186,919,464,371,723,499,209,377,400,042,297,228,932,791,394,493,163,623,108,
814,954,182,296,596,419,092,740,689,195,022,865,172,794,154,406,523,037,573,
010,369,657,280,615,892,743,268,762,159,652,817,190,710,019,611,619,377,392,
794,337,474,350,703,093,219,307,448,893,727,284,218,541,999,302,008,180,895,
521,010,200,415,842,325,966,126,280,731,413,994,043,773,327,397,502,879,303,
792,881,098,846,851,752,933,148,256,616,878,854,317,733,325,143,080,068,177,
397,389,251,941,804,971,113,418,802,002,229,523,891,564,536,687,155,738,085,
901,246,879,982,053,992,476,166,860,678,425,394,101,983,513,678,182,469,477,
987,950,497,496,257,321,437,103,857,220,790,317,321,587,221,346,543,366,609,
722,280,125,318,752,783,678,114,755,142,625,218,612,378,097,519,508,985,194,
891,209,819,563,864,134,492,835,809,235,068,624,089,839,628,057,448,174,806,
325,213,846,756,442,175,508,494,357,451,510,002,310,175,302,252,639,758,199,
154,729,033,635,517,617,569,922,648,219,795,476,942,876,870,744,085,209,822,
873,105,788,464,086,437,564,268,282,622,794,587,944,624,384,330,139,330,878,
896,783,355,237,735,380,653,586,844,899,030,261,649,213,358,246,502,397,006,
813,184,201,723,429,602,640,822,997,056,022,682,204,687,712,956,544,480,025,
090,419,514,531,216,418,316,160,837,949,514,841,996,204,145,091,320,384,332,
685,356,696,527,968,202,538,653,463,089,747,306,563,239,794,567,252,844,867,
934,229,668,105,309,706,695,028,601,644,430,873,707,794,872,896,858,280,325,
262,318,530,296,009,129,264,092,383,200,907,800,227,211,374,927,574,415,960,
247,097,927,264,420,298,279,996,607,719,920,349,451,669,823,052,466,614,437,
612,624,663,639,439,853,194,442,780,523,044,791,805,236,761,533,934,803,360,
115,090,626,821,967,841,404,104,789,520,534,069,463,572,890,818,982,571,805,
937,008,626,070,210,292,710,222,231,264,953,019,288,501,062,052,687,108,797,
125,907,560,750,506,277,050,313,869,869,014,144,108,643,459,079,015,524,000,
067,099,330,884,356,141,503,411,327,901,856,714,850,169,844,872,602,028,772,
402,432,706,291,799,952,851,462,013,221,608,386,446,678,266,229,018,303,184,
370,191,020,296,053,760,839,156,065,960,815,277,900,981,399,086,309,650,502,
748,647,790,089,946,323,934,135,075,440,787,889,646,091,491,245,841,874,154,
019,705,047,179,092,121,649,423,587,082,454,393,035,423,566,168,178,166,054,
620,436,612,895,754,164,375,975,539,088,545,648,815,429,482,917,230,073,937,
800,788,187,383,954,937,476,217,179,414,187,619,614,111,175,526,176,011,909,
119,067,178,348,364,125,942,866,485,224,464,115,009,837,365,128,579,835,861,
489,372,011,156,915,822,317,096,466,596,654,868,890,873,245,892,010,541,703,
947,287,157,443,758,595,871,936,414,163,355,841,428,568,185,412,223,903,763,
363,317,195,924,413,402,349,636,160,637,390,613,060,771,321,286,485,530,353,
941,925,446,205,869,104,116,618,464,066,038,425,944,156,796,556,055,628,332,
571,704,374,589,768,710,450,811,072,159,965,131,245,018,717,095,279,752,416,
660,286,301,188,534,891,009,588,081,134,552,539,988,252,855,614,529,694,547,
195,441,679,612,412,996,102,103,602,380,359,253,475,330,915,582,010,864,965,
436,096,221,852,539,946,461,087,022,511,895,196,007,497,012,096,240,595,600,
175,503,304,281,518,479,607,225,208,445,029,865,482,659,939,567,031,459,421,
908,770,199,889,217,494,877,097,786,661,677,026,404,423,215,591,707,602,243,
387,094,971,205,951,851,377,569,689,704,280,145,567,640,716,084,481,680,670,
208,616,925,414,094,931,652,368,972,708,721,895,930,846,752,648,502,828,142,
461,444,835,221,168,270,495,411,189,139,371,937,359,856,079,584,294,808,193,
151,227,074,382,143,113,707,169,728,992,603,959,499,850,560,747,499,121,243,
444,231,689,395,318,268,874,226,607,268,728,723,586,093,572,495,502,530,360,
200,789,224,939,263,834,898,512,802,650,472,907,563,901,082,417,769,787,270,
671,289,063,937,902,471,505,921,599,638,033,185,621,832,865,930,302,795,121,
430,633,658,529,642,923,821,464,245,518,785,000,796,519,369,699,872,989,671,
829,962,304,205,180,335,165,268,405,115,473,336,473,228,368,525,139,477,449,
235,338,503,740,024,925,878,075,604,247,475,962,520,570,769,322,665,155,860,
390,993,085,444,168,248,759,995,524,827,628,700,285,093,379,273,758,712,998,
884,755,611,448,944,974,965,882,291,634,474,284,583,007,875,364,901,448,965,
939,263,937,589,237,184,184,124,637,572,014,194,395,854,466,841,541,997,113,
051,117,416,842,553,073,622,080,864,583,442,500,327,898,661,190,161,815,281,
582,089,276,853,833,394,610,056,340,462,128,515,207,521,026,123,774,055,720,
538,530,709,613,678,412,424,359,456,985,216,813,829,640,977,196,195,614,407,
508,922,548,513,840,366,030,344,278,599,943,115,420,680,830,006,097,541,645,
129,276,661,620,437,931,765,321,215,024,201,620,371,032,657,484,867,392,158,
990,049,028,502,230,693,787,509,502,515,499,025,133,220,877,896,401,772,897,
976,540,947,351,091,545,307,271,598,621,110,512,380,271,653,420,962,437,545,
811,711,858,573,148,818,659,650,340,176,792,956,089,334,663,885,181,610,704,
813,846,656,749,319,763,059,370,849,045,103,129,917,894,056,782,768,505,359,
180,637,328,361,805,341,125,778,717,335,126,646,270,101,195,574,952,234,002,
334,859,743,440,080,622,522,710,650,063,706,450,393,835,313,150,048,968,761,
834,927,263,699,896,493,945,772,489,226,132,760,733,281,442,324,823,411,648,
495,516,147,886,158,819,494,995,204,430,970,048,844,697,119,836,626,754,339,
523,590,948,600,810,853,865,640,662,222,489,949,476,261,319,945,225,942,784,
267,733,208,401,425,459,688,291,593,884,261,964,964,239,996,960,587,088,305,
403,089,931,475,068,371,560,990,518,895,997,409,708,066,006,473,339,530,452,
136,072,994,391,747,077,241,715,202,639,094,947,320,859,602,661,173,251,698,
309,433,194,374,799,486,572,465,659,995,090,844,068,014,457,857,281,782,544,
972,719,512,314,370,792,162,041,090,093,091,400,181,134,123,188,527,903,673,
138,782,304,181,610,692,788,133,982,055,171,015,180,060,878,009,328,165,716,
784,006,503,756,815,925,860,353,379,293,987,642,008,804,705,660,944,668,001,
054,753,528,649,134,635,520,367,620,917,829,357,597,045,633,919,722,912,973,
154,301,930,864,899,080,997,324,266,216,744,070,111,352,653,128,813,391,581,
674,343,770,346,293,782,898,674,068,586,245,100,529,726,111,347,036,116,242,
402,055,734,366,415,965,240,476,873,117,386,309,566,187,146,510,874,518,407,
657,823,662,186,176,613,845,135,224,215,508,855,599,785,229,798,619,435,235,
540,551,200,812,381,118,608,461,164,993,432,098,855,553,628,529,201,228,376,
122,683,861,882,958,417,306,804,620,120,033,509,626,695,094,720,907,561,289,
088,407,455,463,660,981,235,883,645,130,310,629,880,007,074,680,687,124,301,
436,876,083,585,843,931,393,304,559,991,771,177,421,849,976,671,189,239,687,
304,541,735,284,279,601,188,159,775,527,817,733,394,979,270,678,389,144,706,
164,986,033,315,897,391,159,555,153,657,350,534,815,317,773,102,219,332,146,
111,701,939,543,693,990,078,351,029,245,074,218,654,969,145,729,051,526,473,
178,491,505,820,928,813,418,059,249,067,193,718,437,566,677,005,326,097,768,
736,564,470,117,931,608,740,477,101,194,433,512,380,113,997,353,316,564,749,
964,208,735,857,964,838,980,013,732,067,288,348,771,731,610,158,551,480,275,
329,969,356,141,732,566,405,030,487,758,383,901,241,713,487,533,082,607,219,
798,627,631,255,838,777,943,461,726,911,946,956,284,897,773,119,122,487,965,
290,779,411,349,084,581,706,233,155,579,286,508,644,855,458,288,167,452,336,
244,600,190,532,824,634,268,175,545,272,051,511,238,885,525,940,971,994,846,
554,140,944,570,090,056,483,677,235,687,512,379,002,482,300,802,337,463,726,
701,197,019,394,035,182,853,695,415,831,935,576,587,152,678,015,126,292,742,
695,420,350,827,896,167,229,497,778,671,172,700,949,887,047,517,521,806,080,
234,021,471,461,715,292,963,039,369,476,155,111,960,329,773,578,499,956,433,
807,007,146,027,065,110,685,494,054,447,844,951,743,034,931,251,742,980,793,
151,626,352,086,543,094,099,802,549,276,342,229,543,207,675,205,488,785,238,
392,811,180,360,687,004,838,562,351,399,508,309,579,756,556,165,887,051,253,
870,212,694,720,072,423,031,876,391,603,393,406,691,122,908,696,379,664,950,
137,609,419,937,583,250,703,596,741,743,801,974,985,492,769,247,496,593,187,
458,740,461,163,718,973,838,055,122,708,659,412,761,286,067,302,746,328,720,
210,795,744,477,918,246,560,483,156,118,007,510,004,488,165,252,210,949,389,
566,139,835,328,834,246,036,657,865,326,340,905,315,962,312,809,835,051,481,
935,900,955,343,667,441,116,831,522,511,026,023,629,247,954,734,432,445,657,
720,468,701,436,820,762,301,424,263,280,969,658,734,860,322,095,605,353,542,
066,989,435,231,499,250,153,742,528,001,434,388,059,368,248,193,632,034,486,
848,490,157,514,333,518,743,697,987,813,943,924,702,573,044,802,424,075,364,
574,540,021,845,642,011,154,140,174,959,534,628,590,256,448,246,435,528,749,
209,906,621,357,082,502,811,615,845,253,350,251,475,489,845,355,242,965,563,
244,509,660,928,343,000,288,945,254,972,507,154,442,386,604,874,047,311,850,
380,753,911,955,928,246,108,659,890,711,748,225,337,622,534,522,462,291,786,
050,944,605,917,950,711,293,144,354,384,783,729,607,877,809,899,223,385,515,
159,476,787,158,555,622,165,634,663,275,586,827,989,398,277,458,144,826,516,
777,226,745,347,491,521,841,997,040,546,493,220,378,078,037,865,105,483,006,
095,141,413,357,505,779,255,025,458,293,226,483,933,003,755,394,867,238,996,
253,877,945,983,823,092,825,988,554,675,543,358,516,263,495,124,525,951,416,
793,213,135,145,167,963,031,448,583,202,142,726,159,005,610,145,291,868,330,
689,430,199,354,468,252,957,054,359,214,604,489,780,903,564,388,931,533,312,
586,256,019,605,470,951,316,014,534,990,135,731,442,493,281,561,620,893,902,
963,994,044,040,460,372,393,896,882,155,339,982,490,298,901,024,527,194,548,
761,806,721,471,822,160,997,562,914,139,619,475,475,999,379,543,170,133,824,
657,269,146,131,534,165,902,208,982,629,854,014,963,274,891,409,728,985,878,
882,080,884,785,542,192,804,733,990,776,348,205,373,737,457,275,188,852,588,
652,234,809,053,452,746,565,722,073,100,428,862,417,258,716,549,960,439,703,
991,197,562,803,832,680,641,579,698,405,115,456,383,947,353,127,679,070,381,
185,649,172,067,836,420,179,484,518,202,171,763,783,166,721,560,156,309,628,
807,815,220,222,161,568,260,143,228,810,823,944,834,219,647,130,319,227,990,
618,209,965,836,280,261,544,096,938,696,939,217,371,222,097,762,418,064,422,
286,850,217,486,617,316,560,180,911,027,858,409,010,485,795,410,404,004,152,
219,121,412,370,284,230,762,030,245,900,829,213,237,750,685,392,543,552,318,
613,896,565,024,821,368,220,410,171,978,666,215,437,760,739,246,842,625,881,
252,299,739,084,949,573,754,488,851,521,421,384,113,684,074,809,727,104,616,
589,074,860,122,238,633,253,634,995,703,454,867,320,349,240,674,232,985,988,
303,817,102,323,568,510,270,992,449,621,142,514,091,770,816,069,372,078,708,
130,712,131,133,518,845,590,984,066,272,389,779,842,019,986,375,977,817,812,
890,495,151,649,872,578,397,816,828,587,976,081,608,265,141,693,479,263,615,
196,725,772,819,113,803,293,564,064,727,371,325,460,634,362,771,279,304,625,
038,787,009,102,665,110,069,572,476,235,308,933,932,204,538,735,207,148,891,
972,901,826,501,223,803,267,687,008,172,587,340,657,890,324,657,741,567,321,
321,885,938,767,522,405,944,787,267,210,465,139,846,608,057,544,836,138,959,
492,164,348,777,462,758,187,252,369,982,212,549,982,782,173,043,975,204,305,
718,898,732,528,691,064,163,710,798,141,371,879,974,647,244,301,744,096,311,
767,108,776,395,748,845,332,820,850,576,263,015,527,520,575,620,204,800,207,
101,539,054,279,900,361,624,815,200,079,075,678,548,939,281,085,372,708,752,
117,553,206,981,047,740,528,580,213,349,628,213,793,185,682,239,056,381,241,
911,656,438,474,350,431,547,687,167,985,362,459,472,308,595,863,221,118,726,
566,442,371,027,304,794,096,453,691,060,169,494,111,390,941,977,524,490,017,
748,038,152,152,519,208,044,061,019,996,059,452,322,896,210,003,170,072,299,
717,428,959,614,002,965,147,907,553,221,867,284,596,987,501,990,651,847,667,
083,181,918,741,647,732,931,874,464,502,157,516,451,251,729,516,298,186,525,
238,685,382,004,843,799,615,082,820,144,793,902,387,850,213,022,110,326,299,
625,872,381,453,130,140,896,623,254,728,265,799,880,289,785,071,404,103,630,
882,999,070,472,342,833,438,933,532,206,416,551,884,602,251,986,509,691,599,
319,959,735,992,300,002,918,819,977,619,359,231,854,953,745,775,351,114,900,
305,406,740,126,994,864,469,206,745,287,102,292,628,014,566,731,274,243,123,
268,264,088,069,416,703,457,497,628,806,761,667,678,787,472,933,041,633,369,
838,755,442,819,257,061,129,735,998,389,957,881,834,956,359,703,394,915,949,
998,670,441,992,001,357,059,693,369,119,209,150,433,857,956,240,971,485,047,
093,786,923,182,528,992,900,117,190,621,536,422,358,420,771,736,522,251,109,
236,166,363,619,260,782,917,704,347,441,078,999,805,037,794,439,500,714,225,
934,553,478,831,236,823,637,049,058,794,117,863,572,893,028,321,737,344,285,
098,439,605,769,392,524,550,068,232,370,409,881,976,711,807,137,170,986,960,
279,873,347,881,523,102,155,472,373,297,837,476,414,795,082,674,439,118,190,
387,784,634,206,032,526,946,114,376,816,570,594,737,257,115,179,765,568,904,
845,689,161,768,895,908,416,038,807,487,422,655,153,780,457,735,064,016,346,
021,735,260,221,956,873,440,651,638,493,473,852,967,178,771,767,890,449,056,
006,632,913,300,669,006,993,880,905,170,662,839,229,846,693,572,582,569,839,
376,011,633,850,583,792,091,049,060,091,083,001,846,553,778,799,764,882,804,
391,058,321,413,781,444,261,545,268,662,722,708,842,432,336,234,892,423,167,
737,618,918,805,588,949,896,956,459,321,991,386,857,090,846,755,417,334,370,
966,948,582,723,816,478,783,815,941,538,927,077,336,584,766,758,091,047,138,
081,119,236,256,435,657,486,595,411,436,098,678,135,943,714,696,867,864,599,
259,911,635,868,719,733,231,495,268,989,183,703,302,675,623,041,564,254,769,
974,485,643,326,366,343,825,120,457,081,488,716,480,916,553,352,465,667,216,
560,975,224,897,193,655,105,494,630,555,314,771,075,923,785,933,941,584,792,
702,474,458,876,739,748,291,077,356,332,638,842,875,864,821,196,526,634,397,
295,296,218,689,339,933,059,444,275,545,666,801,042,450,421,005,965,337,562,
975,559,481,073,013,698,150,168,833,968,143,965,230,856,746,913,051,450,270,
635,220,777,089,764,425,051,597,588,382,179,450,525,431,287,271,924,262,121,
900,694,333,825,309,714,372,445,100,309,554,353,379,408,152,684,509,931,517,
647,195,981,915,121,386,068,578,946,945,229,862,499,059,853,113,801,463,627,
122,391,743,773,029,194,268,124,885,179,070,360,742,148,061,583,230,519,265,
404,006,836,381,698,692,069,017,034,163,832,183,712,223,552,199,487,880,410,
239,551,859,231,963,675,456,386,582,398,502,741,954,714,910,625,034,901,972,
432,872,193,506,357,177,779,275,620,907,616,159,667,721,017,300,718,258,969,
189,758,300,464,537,741,594,464,363,819,899,426,709,330,649,493,660,628,309,
569,148,393,036,250,129,332,607,230,067,976,646,864,994,219,450,505,413,961,
079,784,240,738,333,474,417,345,558,694,899,900,956,114,743,738,017,169,599,
603,247,505,071,870,668,712,669,100,148,069,057,260,311,138,403,861,308,277,
998,194,838,419,359,170,686,407,935,643,883,319,808,144,343,415,209,044,318,
500,917,787,427,063,383,650,275,914,483,827,431,266,959,072,503,407,648,248,
655,310,186,487,894,744,425,633,432,287,504,936,352,331,358,108,148,610,461,
150,724,350,986,991,167,700,635,756,338,543,409,857,548,390,233,750,574,225,
746,264,505,842,190,863,306,030,173,988,145,187,539,243,860,150,259,778,395,
600,528,490,093,428,176,273,631,922,501,175,362,311,605,845,302,484,676,255,
461,314,398,606,153,625,840,031,996,941,526,063,399,421,612,214,572,034,344,
929,101,248,348,879,630,901,807,572,568,782,703,240,893,287,661,222,833,948,
521,703,625,580,521,744,996,687,885,473,229,726,438,452,450,623,471,478,599,
642,498,576,439,984,628,159,665,451,537,553,445,814,122,801,614,135,434,893,
168,060,362,511,420,099,818,474,706,480,940,287,158,155,084,044,344,994,057,
929,104,072,493,258,317,976,014,216,018,941,944,776,411,286,095,040,825,370,
825,118,348,698,535,866,332,218,966,217,362,996,921,563,860,899,933,614,061,
348,954,459,132,868,853,068,915,882,561,492,662,335,355,450,689,697,250,181,
495,936,048,589,555,991,007,120,728,410,846,465,494,704,178,132,070,780,598,
432,678,227,855,522,072,324,803,458,982,958,183,623,592,254,762,846,614,621,
722,314,234,357,384,633,932,942,159,153,862,616,333,539,236,587,681,347,203,
050,450,492,339,455,671,138,832,528,700,977,227,276,019,098,709,229,662,730,
026,587,862,624,189,728,933,718,353,753,940,224,130,716,955,283,847,788,924,
964,526,567,638,256,346,966,899,015,280,895,150,292,672,662,877,410,120,397,
652,446,888,497,139,486,988,050,369,251,583,204,783,322,255,149,515,703,517,
350,890,886,543,475,629,619,448,986,110,839,232,377,289,190,989,368,899,258,
528,209,761,732,394,747,973,885,617,094,753,309,600,632,593,901,229,667,417,
856,656,822,896,812,247,621,432,263,939,127,065,367,122,003,632,111,445,952,
621,928,492,581,135,337,724,482,762,858,468,430,987,386,359,791,311,588,740,
148,244,402,712,979,877,875,769,744,843,324,765,986,570,060,170,294,622,391,
261,030,652,978,634,654,322,072,838,235,287,534,387,361,056,348,944,331,252,
541,763,515,796,141,839,487,869,587,386,597,155,696,973,232,242,280,263,500,
963,270,798,937,137,122,352,758,781,558,584,696,900,961,797,832,285,997,405,
301,661,112,328,993,046,528,531,970,653,093,277,206,480,521,954,060,496,890,
099,325,169,877,900,213,549,531,853,831,179,014,655,244,956,370,535,625,823,
151,084,593,240,244,051,980,600,824,399,301,763,919,711,024,937,118,507,244,
295,038,179,773,035,157,499,399,692,078,578,391,051,261,128,661,859,767,685,
562,529,963,999,621,654,810,443,089,245,610,261,728,104,916,943,977,681,747,
384,361,828,887,180,999,394,448,770,670,214,792,351,586,523,444,578,903,684,
214,870,752,974,568,693,531,280,869,666,773,241,114,036,632,140,716,453,278,
794,372,473,675,808,937,869,163,169,624,041,067,933,042,632,276,870,912,751,
403,664,720,589,384,772,949,435,287,213,988,541,917,892,859,388,584,749,258,
694,556,696,762,629,693,952,588,620,715,374,906,052,792,698,208,050,943,297,
867,191,991,159,434,766,008,580,623,924,696,801,771,482,032,231,778,342,960,
725,255,141,127,711,136,275,796,535,436,605,318,447,584,631,430,311,984,273,
484,982,079,435,257,509,368,917,366,526,400,118,744,497,941,319,791,669,374,
033,578,539,870,542,059,427,421,626,944,754,426,793,679,345,770,748,823,408,
523,238,652,707,710,692,704,623,847,519,746,428,750,307,742,680,317,929,744,
167,543,411,786,567,739,242,167,636,210,235,297,966,232,733,737,122,771,632,
267,316,229,921,845,611,377,018,816,926,769,943,297,689,088,164,437,169,198,
291,906,978,709,073,312,656,730,939,230,259,957,523,852,037,077,668,050,432,
344,000,713,273,220,968,012,226,017,740,602,602,813,930,277,543,282,039,404,
972,125,045,406,859,312,480,351,628,430,914,660,260,634,814,463,617,667,441,
402,899,305,954,992,937,890,701,613,726,866,215,168,670,469,711,876,364,450,
208,189,295,702,103,621,934,496,069,915,464,538,122,078,922,010,051,285,246,
214,842,523,523,238,407,536,007,730,707,661,767,908,415,759,500,444,522,314,
427,068,942,702,327,054,562,782,228,404,107,377,345,670,231,084,644,298,814,
733,289,693,519,940,728,436,602,684,243,407,594,315,441,746,697,388,273,481,
531,854,146,768,886,040,731,663,840,148,075,220,717,176,532,712,961,820,961,
132,568,358,467,596,977,903,828,109,362,811,152,486,676,172,293,512,113,118,
073,418,337,832,330,272,645,224,006,887,634,441,850,338,429,770,074,873,463,
692,634,373,605,041,575,884,142,924,274,808,043,218,648,040,779,217,324,934,
958,103,750,159,366,845,970,750,667,587,446,089,609,225,936,102,777,337,120,
723,647,591,210,514,182,123,145,603,462,985,091,436,593,174,427,930,207,872,
462,018,387,767,525,839,356,960,839,908,684,855,659,440,995,586,515,569,551,
303,905,786,296,789,688,419,130,940,807,309,021,249,407,219,360,441,436,249,
912,134,277,982,254,363,802,589,694,889,173,726,898,556,656,729,285,764,040,
259,065,739,710,862,485,762,175,799,395,459,606,471,319,408,006,380,820,530,
229,563,261,586,576,848,201,565,136,476,159,128,399,579,567,525,843,108,298,
211,003,422,118,619,934,386,217,622,172,886,570,263,523,052,559,438,577,510,
855,539,683,130,891,830,905,561,218,854,064,299,047,585,675,076,354,214,517,
992,970,210,121,817,782,586,749,168,807,200,901,403,607,166,530,846,590,885,
537,931,969,399,960,953,123,983,852,150,083,544,455,684,414,813,333,610,653,
096,283,342,495,126,781,825,396,369,809,986,425,875,376,997,423,756,463,889,
446,564,516,698,479,875,119,328,392,838,617,875,036,886,659,714,495,107,454,
766,514,868,274,284,913,726,852,367,057,515,636,401,561,974,226,251,707,431,
319,848,364,968,754,360,090,261,590,928,702,913,999,847,827,439,926,551,612,
448,250,770,690,261,442,129,711,920,764,343,444,068,953,580,080,625,698,170,
408,711,555,301,839,787,035,533,525,309,945,218,104,752,516,437,962,372,024,
093,305,357,369,566,184,651,965,895,973,410,568,824,922,798,314,378,143,581,
770,341,302,538,913,144,984,607,447,732,110,326,178,637,361,870,576,895,134,
463,161,673,325,848,293,757,845,423,224,590,780,731,374,987,262,357,266,601,
382,483,256,888,238,421,608,902,401,614,901,383,140,254,488,331,488,487,633,
487,503,705,936,530,081,978,285,583,167,786,483,741,695,283,578,579,546,776,
226,431,506,378,488,086,590,468,780,473,740,837,599,385,767,150,331,718,812,
916,196,913,621,997,957,638,000,602,776,393,686,264,073,916,583,069,521,453,
624,355,462,010,291,146,903,067,985,675,189,574,826,174,352,389,797,798,661,
196,154,693,107,531,537,253,760,584,562,578,894,862,814,293,071,708,409,850,
266,981,470,302,042,236,599,020,294,269,064,262,903,685,148,696,541,785,707,
637,319,566,377,702,264,063,995,812,818,079,740,089,102,973,216,593,350,159,
663,255,864,378,233,473,897,377,683,040,684,046,518,998,510,253,508,924,616,
120,182,393,486,564,784,688,513,548,424,872,766,060,153,206,637,051,186,909,
910,095,559,153,432,700,286,067,193,148,024,597,621,544,144,456,381,093,239,
537,137,520,772,925,724,892,172,163,525,009,846,234,647,780,955,384,622,637,
593,266,598,839,012,437,299,802,164,189,611,876,637,913,028,352,731,623,613,
015,243,079,605,063,317,509,762,159,268,634,103,684,640,192,139,514,438,674,
325,088,588,958,518,728,625,157,062,386,394,620,742,484,704,288,779,589,112,
379,808,061,086,465,652,467,735,704,512,197,582,777,072,095,651,450,224,020,
486,309,383,955,423,973,389,453,426,716,692,687,942,994,421,897,898,517,596,
233,507,992,276,602,265,815,426,470,878,506,002,801,759,357,221,161,977,575,
895,010,718,368,963,442,387,782,617,743,313,734,248,800,402,711,268,345,835,
940,291,554,726,510,130,756,785,986,932,155,916,423,983,350,456,708,519,490,
229,404,271,741,768,462,344,956,252,732,395,516,776,313,824,956,866,296,569,
595,871,472,713,541,144,752,286,110,124,688,351,522,711,839,342,477,198,790,
145,087,051,072,635,465,228,900,510,618,493,198,103,838,507,089,333,889,716,
569,397,062,910,936,319,793,515,343,562,084,843,490,654,735,940,357,931,835,
040,194,033,038,602,914,111,099,698,799,955,041,535,852,273,540,123,976,305,
243,696,890,653,429,344,297,076,546,572,334,263,375,221,801,089,122,661,806,
745,471,904,223,100,026,733,182,153,075,136,414,084,855,755,014,160,168,086,
660,550,349,230,000,413,583,202,916,072,223,849,656,680,592,213,612,878,906,
877,214,446,786,959,921,263,308,684,997,426,007,625,301,171,541,672,112,615,
521,353,009,522,065,140,067,041,217,251,281,197,139,622,610,182,274,960,630,
327,950,831,961,905,812,737,219,398,659,800,494,549,561,415,916,914,463,720,
810,408,915,934,867,390,426,566,610,979,215,095,596,246,974,423,885,306,626,
282,639,189,939,895,846,751,551,756,006,157,612,104,603,955,081,615,730,578,
407,182,598,284,208,103,827,523,599,166,883,587,898,266,805,494,525,912,159,
839,691,600,909,998,600,466,329,593,246,706,771,922,331,604,897,500,896,372,
669,580,678,675,945,853,651,643,547,395,360,820,966,434,907,162,531,292,636,
687,380,853,847,163,812,682,331,792,900,691,493,965,217,276,795,331,596,871,
555,907,706,401,235,725,514,089,666,439,348,256,504,087,766,752,350,687,096,
421,528,717,452,438,231,058,665,620,051,151,987,815,367,361,785,251,623,695,
244,907,964,519,500,556,233,853,877,580,288,533,806,861,796,933,121,659,611,
817,862,031,727,381,294,926,449,637,148,953,270,678,866,448,561,053,628,591,
793,846,405,039,557,761,495,256,991,863,285,872,712,042,910,697,897,463,512,
546,996,737,956,899,637,056,570,933,032,313,685,454,805,541,840,948,474,994,
821,301,712,023,782,456,355,962,432,936,911,970,117,601,401,957,007,835,261,
633,742,592,504,296,400,736,010,618,194,888,371,657,504,369,802,332,266,561,
244,352,511,526,056,064,904,261,720,319,590,088,932,936,375,999,260,637,989,
398,994,498,639,606,808,408,759,028,900,121,886,185,356,627,967,921,395,416,
293,109,599,526,931,607,122,833,664,639,090,205,351,230,393,767,735,448,475,
997,029,678,628,656,805,800,938,995,194,659,685,079,711,853,733,824,477,705,
191,772,540,896,694,891,854,628,964,345,865,022,334,744,526,936,165,292,782,
397,194,377,318,860,871,494,605,367,932,038,646,422,791,421,300,121,370,837,
844,112,014,457,311,016,956,796,211,349,920,742,642,696,527,615,421,346,015,
070,246,411,139,299,234,663,490,602,226,045,705,541,989,736,838,627,594,691,
756,613,147,793,215,534,599,969,225,424,379,794,234,961,911,570,476,775,952,
136,519,098,435,166,807,618,922,729,040,903,473,016,458,415,903,000,059,901,
889,838,933,957,947,971,662,956,874,427,150,851,538,025,409,118,903,310,828,
389,888,293,681,156,693,137,567,715,131,923,613,163,842,028,200,510,788,760,
850,837,221,666,871,038,530,182,723,367,811,306,149,967,616,352,455,295,631,
249,965,197,390,961,258,112,427,784,022,599,589,948,405,414,597,888,740,929,
131,683,747,759,836,086,119,163,550,939,666,125,449,249,509,137,632,620,065,
835,426,015,708,656,247,885,091,178,409,542,322,983,706,453,840,095,914,787,
374,767,105,893,851,048,264,350,111,947,430,356,893,752,770,353,593,679,154,
654,046,132,897,140,823,236,313,092,772,977,905,742,212,652,820,764,480,907,
652,387,095,580,491,390,875,720,195,395,867,147,498,393,667,408,215,400,686,
147,883,759,595,222,973,195,599,075,125,379,083,506,278,388,793,499,042,220,
774,818,817,991,650,257,325,940,975,891,176,648,745,479,007,858,744,345,255,
358,533,761,162,746,577,748,995,002,231,526,762,373,400,963,662,265,728,712,
310,356,935,420,651,367,048,145,035,471,703,518,594,368,098,845,454,369,544,
354,981,076,051,746,317,719,443,228,503,072,554,336,167,454,688,590,111,398,
988,439,878,491,248,933,758,026,787,328,452,934,894,185,399,403,498,858,332,
289,080,140,086,145,130,235,041,241,933,572,919,399,782,810,738,648,697,628,
346,615,760,919,933,509,810,984,591,071,060,522,929,967,774,804,481,716,439,
163,813,508,480,240,494,808,250,891,677,344,853,329,988,851,902,188,898,329,
849,128,718,341,296,547,703,937,867,385,854,187,059,864,911,892,460,264,893,
298,364,790,967,850,145,798,888,130,407,417,527,209,121,514,957,671,405,478,
514,026,059,945,010,555,390,514,259,874,871,814,644,116,901,917,793,804,255,
350,185,495,501,168,765,938,666,385,727,881,409,948,917,826,506,342,545,076,
698,767,892,279,432,730,455,915,285,131,549,842,828,417,052,924,548,442,756,
222,985,820,296,977,785,795,619,008,560,116,803,489,679,281,005,128,863,055,
690,414,163,601,948,146,235,737,746,839,695,859,500,954,019,285,772,493,228,
144,433,658,885,173,481,641,344,288,238,016,615,767,545,207,631,405,116,358,
076,436,757,694,450,285,718,588,749,183,372,655,884,286,919,835,251,248,098,
685,401,275,991,072,230,700,691,957,742,755,083,737,777,709,466,473,719,007,
659,250,152,860,910,145,795,998,077,308,224,933,682,607,666,592,663,753,752,
790,387,588,935,352,431,894,358,495,199,876,183,328,943,828,866,153,041,925,
898,673,674,628,386,400,771,039,056,365,029,154,470,944,191,635,257,169,472,
457,698,794,366,374,377,986,879,636,819,256,483,152,156,001,845,326,571,516,
979,715,458,462,799,812,030,134,970,920,692,357,539,892,281,046,591,854,079,
166,878,559,395,836,109,471,768,793,970,801,153,324,112,277,985,361,781,500,
043,355,071,994,569,022,245,818,582,380,396,388,804,789,487,348,737,882,665,
636,397,998,661,419,651,662,570,863,406,748,385,322,000,328,287,989,350,225,
141,930,176,195,581,961,001,662,740,529,723,860,673,001,733,695,140,732,166,
813,977,307,849,930,849,712,279,391,834,332,595,835,284,103,773,088,765,626,
694,904,943,990,659,179,125,240,888,248,440,770,536,413,329,262,359,586,354,
157,246,133,395,580,676,824,664,018,976,362,884,311,312,046,027,855,629,265,
318,781,096,479,977,628,587,984,431,987,098,943,095,310,928,796,217,938,225,
842,019,123,258,832,524,460,394,856,265,932,050,091,475,628,247,247,648,743,
453,816,216,753,992,765,428,187,951,868,419,260,178,778,341,912,894,618,043,
929,815,867,378,375,318,231,599,019,299,243,568,323,491,816,687,669,318,522,
596,811,207,081,821,746,092,554,178,980,820,359,317,301,139,646,097,251,535,
779,511,324,291,852,146,137,287,792,255,514,892,500,133,377,223,260,078,434,
412,935,899,441,282,726,712,862,324,471,902,300,861,066,917,104,018,906,565,
193,734,317,396,138,904,127,446,359,174,693,427,139,426,350,531,549,133,260,
422,039,537,393,185,018,195,014,306,920,467,652,363,404,619,776,324,695,710,
362,981,861,518,126,664,636,767,054,386,671,578,442,540,136,200,203,347,770,
598,611,018,506,187,373,840,255,312,230,343,254,383,079,548,445,876,308,913,
422,114,529,846,776,347,653,307,549,620,342,564,029,718,514,660,031,293,711,
155,525,916,025,371,611,639,730,150,998,452,932,615,061,794,201,981,441,431,
241,573,533,815,494,265,769,747,263,426,715,732,501,775,206,980,352,091,684,
738,449,664,865,216,546,319,555,997,782,692,468,409,576,073,868,917,773,756,
200,860,313,552,647,049,707,605,018,687,008,656,792,009,033,766,256,043,111,
218,372,970,392,857,112,837,612,857,645,500,597,249,144,511,334,952,731,213,
969,764,550,903,534,852,026,916,982,784,159,661,768,603,652,951,220,275,063,
153,735,728,004,263,856,523,698,423,867,115,678,745,837,010,538,691,609,772,
632,111,935,984,611,142,696,982,506,266,881,440,458,190,354,653,063,030,671,
482,006,261,297,515,108,855,606,204,614,514,231,083,010,191,805,230,398,958,
697,072,562,427,050,040,386,716,586,139,974,364,905,445,581,962,648,838,702,
789,347,039,986,718,573,377,000,743,038,331,788,711,496,285,162,733,843,784,
643,194,292,985,003,988,875,754,329,597,506,721,422,992,351,375,458,709,290,
658,475,565,191,231,152,101,851,817,826,089,094,172,541,782,548,354,313,633,
360,130,113,392,434,241,805,624,131,674,742,485,454,815,374,594,543,645,926,
024,636,409,445,780,857,241,202,354,373,884,205,777,951,051,967,001,064,742,
095,859,302,249,780,308,663,303,289,033,959,311,725,941,374,819,758,037,762,
671,003,131,032,796,534,161,686,724,865,189,765,607,773,631,826,782,579,029,
489,049,421,010,984,754,859,700,305,255,047,456,644,196,036,422,745,198,276,
561,891,963,410,796,862,075,808,031,649,175,025,754,232,813,836,678,653,078,
242,544,706,189,200,694,295,180,853,512,886,030,933,384,947,173,161,442,270,
183,674,577,062,234,736,564,184,208,053,726,893,338,174,913,193,987,405,090,
101,741,995,008,275,312,340,236,066,432,305,195,769,727,691,285,478,922,728,
049,417,494,263,100,901,125,484,830,247,089,746,708,336,516,062,426,943,405,
148,941,540,215,444,517,879,458,388,410,090,324,632,907,978,084,094,819,620,
639,827,141,396,905,642,931,470,126,715,783,934,354,812,344,757,992,674,779,
830,817,615,572,011,402,661,293,458,470,112,610,457,164,772,880,081,759,117,
067,043,532,643,397,243,220,689,866,646,924,693,893,598,768,647,158,751,395,
154,048,145,087,333,754,819,692,107,218,161,822,937,059,523,389,078,826,934,
935,756,003,866,399,953,228,770,641,140,413,383,049,321,042,943,527,143,095,
270,121,926,625,376,654,282,944,058,468,427,583,923,846,716,621,731,833,687,
136,599,905,337,672,915,545,248,437,439,212,768,390,973,053,244,626,884,391,
108,805,118,533,284,388,304,546,191,468,038,732,371,770,731,178,604,272,187,
724,024,457,604,976,120,719,844,675,512,010,844,281,501,506,713,175,388,174,
614,570,640,853,500,466,268,683,686,968,931,926,356,752,273,833,758,283,262,
189,492,096,199,317,755,790,233,849,285,676,128,027,201,514,829,249,595,980,
423,527,788,325,192,301,566,705,372,492,127,233,953,590,293,727,079,451,551,
348,639,802,424,483,204,726,961,268,384,315,248,174,605,344,780,394,728,888,
889,324,304,491,130,413,726,030,526,381,592,286,784,309,822,563,285,938,529,
015,709,032,618,189,595,378,575,899,287,630,915,071,248,741,399,699,102,520,
645,255,501,142,811,142,574,523,057,242,989,193,264,331,502,333,335,134,071,
202,384,155,778,252,088,392,407,827,016,173,790,381,009,498,597,557,333,424,
297,545,471,852,726,098,874,414,306,761,759,828,588,476,528,827,590,621,133,
455,411,629,705,525,596,525,236,726,486,207,537,495,713,962,022,936,410,889,
108,678,732,450,697,348,404,595,485,706,507,942,748,713,668,347,143,152,026,
261,420,398,201,817,901,403,466,334,189,459,976,547,734,837,522,090,462,006,
866,599,102,716,497,610,450,972,710,677,631,127,963,292,620,449,018,994,044,
432,085,656,625,312,381,034,380,761,125,850,484,824,541,378,598,688,448,398,
460,679,503,169,621,165,715,598,921,149,176,410,601,317,415,141,522,417,238,
236,867,061,578,647,738,975,102,376,864,564,961,856,370,760,178,769,423,351,
690,340,627,932,936,334,592,670,053,869,933,102,549,440,430,976,097,100,008,
581,791,261,736,452,146,881,130,211,923,114,748,700,159,504,785,486,978,463,
144,367,253,769,330,858,262,432,785,215,901,314,674,191,701,979,021,053,653,
792,261,210,746,371,432,124,681,137,046,706,492,237,292,746,358,891,731,550,
498,593,188,424,848,623,965,462,301,225,223,681,938,082,420,874,367,009,708,
012,238,795,507,303,415,878,910,189,542,913,069,419,726,077,513,261,534,562,
235,577,732,634,719,381,529,351,215,563,386,912,497,322,362,098,922,624,158,
938,060,872,334,708,529,444,071,965,761,107,165,438,746,414,826,534,821,574,
352,775,521,356,927,071,756,301,467,401,440,229,899,910,813,671,820,382,345,
856,387,619,322,681,172,875,604,249,222,579,820,553,177,606,288,549,330,537,
442,959,335,777,049,919,448,799,132,714,712,901,642,631,034,673,892,078,445,
322,208,360,687,276,545,648,412,896,857,286,428,340,136,142,428,710,232,836,
405,447,862,582,699,262,205,207,109,734,005,041,770,263,950,951,683,084,872,
905,082,590,776,290,568,045,833,501,930,400,259,379,158,452,340,545,307,780,
295,586,706,038,124,871,776,820,485,690,336,467,130,259,758,377,003,202,288,
177,743,756,620,124,904,623,698,197,151,716,301,600,055,377,815,574,128,448,
301,165,301,493,083,213,896,685,415,066,607,540,753,195,142,409,758,476,613,
891,623,858,044,890,268,966,778,738,202,413,006,306,137,943,770,582,879,489,
902,285,389,277,528,593,534,539,601,129,385,667,481,845,596,137,304,189,275,
889,061,386,055,437,669,121,002,954,041,234,299,941,316,702,923,571,191,725,
552,879,252,820,350,462,443,633,096,705,460,131,736,281,248,063,026,811,648,
495,947,657,510,742,614,144,463,074,589,606,782,362,960,311,780,678,466,204,
238,358,674,295,998,275,709,986,314,048,373,632,829,954,905,840,951,823,044,
535,322,639,866,437,677,239,160,740,418,280,055,387,632,143,321,443,420,729,
608,460,437,227,261,944,221,242,515,537,395,109,909,676,251,237,967,773,700,
598,933,168,227,430,847,368,957,080,627,659,549,441,494,149,701,668,528,217,
111,583,304,013,564,496,286,358,387,305,010,008,864,666,339,126,675,048,097,
260,564,306,527,502,903,066,503,833,560,600,929,608,901,307,912,385,103,807,
254,940,530,751,823,336,841,243,792,342,446,369,079,317,082,923,257,047,653,
282,029,213,162,332,864,029,888,169,901,022,096,868,952,177,882,007,478,956,
231,186,207,549,229,743,085,212,650,421,165,371,762,736,781,960,199,280,443,
869,724,841,385,515,897,393,886,769,335,722,951,644,627,550,874,673,400,612,
092,078,027,332,944,509,722,688,563,478,309,836,873,951,095,135,697,078,315,
282,324,585,358,682,424,466,744,424,285,790,467,905,113,376,884,568,832,139,
072,823,480,723,299,502,770,887,990,404,488,317,521,731,152,078,697,180,243,
423,780,429,810,884,471,193,778,140,464,595,680,628,864,535,968,609,112,776,
039,293,106,156,069,003,198,490,888,738,509,752,080,507,504,156,821,940,868,
474,482,263,579,482,453,633,033,694,422,440,296,258,494,544,966,012,604,751,
669,909,436,701,766,538,804,714,058,333,442,146,108,170,671,138,949,397,754,
741,512,771,353,593,560,161,193,938,377,539,946,160,945,807,082,052,342,703,
768,810,940,463,687,402,847,144,250,836,093,787,669,141,321,367,188,525,142,
239,761,645,414,867,017,459,063,008,187,635,416,380,034,428,358,269,749,450,
572,258,208,420,137,330,264,397,909,587,078,788,667,955,100,543,571,085,566,
020,322,908,912,608,377,508,873,811,295,409,274,499,213,528,366,026,999,982,
324,444,529,362,070,193,844,601,617,595,678,638,117,677,843,771,911,506,218,
308,660,454,388,064,006,939,110,653,549,841,035,297,859,522,874,613,158,800,
087,038,476,996,882,355,755,849,868,199,708,879,869,158,878,238,613,985,415,
944,351,332,753,953,426,555,496,319,843,994,242,470,786,012,468,479,321,318,
389,151,208,403,795,241,676,056,440,893,185,589,587,720,742,169,245,169,567,
189,619,545,445,801,232,224,922,212,118,149,601,751,048,260,529,283,054,915,
585,893,517,586,866,439,393,945,386,022,017,386,881,600,525,501,516,620,139,
696,095,254,142,249,698,718,652,311,931,903,004,807,161,543,557,734,917,362,
408,080,597,629,905,829,033,432,672,961,354,556,710,623,497,782,292,876,669,
208,554,377,976,913,804,627,826,157,223,689,624,471,002,247,546,547,412,159,
011,493,133,469,240,483,195,310,024,624,508,526,393,135,318,072,899,896,940,
100,800,665,900,413,256,987,219,386,925,395,456,353,122,381,580,376,237,700,
794,361,760,894,919,008,569,228,579,523,746,986,781,666,767,215,954,417,477,
193,312,832,353,460,594,413,034,855,160,003,607,767,618,073,009,826,492,115,
856,358,509,904,732,721,146,619,526,971,337,291,437,457,210,393,551,266,543,
275,348,790,101,666,130,192,605,806,157,896,901,526,690,681,588,792,214,046,
880,296,204,343,440,942,819,736,676,157,615,499,721,651,962,373,200,052,781,
639,956,341,923,799,165,185,464,315,398,166,334,061,128,627,048,665,999,794,
478,272,128,073,332,340,362,849,344,350,840,514,659,847,529,125,383,481,829,
280,773,705,425,272,453,792,194,691,578,750,261,050,120,401,212,673,307,344,
272,500,434,496,835,495,902,970,369,938,176,818,394,818,251,487,728,985,530,
829,088,749,840,846,080,812,634,182,858,306,788,291,580,511,645,192,070,697,
706,405,279,544,769,528,567,003,745,014,237,156,273,594,382,189,801,323,810,
939,054,061,938,875,674,078,098,237,363,709,553,377,160,227,710,589,701,203,
869,584,014,614,074,112,486,688,252,521,026,942,941,906,984,068,998,222,816,
869,737,317,976,751,782,416,338,300,905,621,811,159,831,271,661,901,946,729,
998,658,369,408,134,979,225,010,651,967,616,729,360,081,217,219,321,882,685,
703,898,298,596,930,461,664,226,857,279,434,593,302,272,444,292,656,302,762,
887,542,457,712,581,322,274,989,254,029,327,540,386,685,341,165,694,750,465,
558,438,530,685,778,624,025,021,385,024,075,919,423,653,675,544,803,317,492,
120,181,626,949,196,427,017,768,277,369,005,093,603,359,842,397,050,963,882,
069,586,787,519,767,997,618,635,633,970,059,688,315,478,761,521,984,569,170,
591,751,986,914,328,662,485,874,035,825,545,136,066,450,452,770,156,081,805,
128,864,488,481,753,490,391,491,659,211,084,975,364,671,630,714,781,435,990,
668,840,221,617,509,560,844,876,503,006,352,265,439,581,426,354,571,049,815,
195,604,890,265,033,448,425,101,198,574,627,312,535,156,366,313,724,496,374,
445,188,378,241,695,197,742,644,439,101,960,673,093,793,713,701,284,507,392,
418,724,888,865,680,535,937,909,432,980,353,584,593,664,608,077,504,490,319,
612,001,022,797,595,668,428,184,099,827,568,536,766,147,068,198,890,550,145,
879,400,549,595,267,124,128,247,860,110,747,371,114,725,568,563,609,652,565,
785,114,924,062,615,589,525,695,316,721,811,657,829,224,749,779,225,039,261,
633,696,917,252,073,550,950,621,214,524,855,859,703,839,454,751,810,894,652,
958,183,028,506,737,974,558,733,731,856,330,837,340,433,712,523,684,794,262,
931,535,528,420,632,139,321,616,582,097,522,495,233,385,416,521,505,328,801,
722,245,640,356,117,308,719,083,315,640,628,327,050,050,231,924,380,038,201,
113,304,311,173,927,824,270,388,362,235,528,269,110,996,669,643,176,017,207,
087,322,496,331,757,446,779,947,455,248,894,623,987,207,290,018,545,128,616,
698,393,747,201,927,588,553,802,357,395,559,300,792,974,329,953,572,948,951,
828,360,765,613,215,836,313,019,521,368,078,484,116,984,308,670,249,738,484,
152,617,208,187,244,140,635,408,998,635,823,920,835,242,333,245,966,005,272,
572,508,712,024,703,931,487,343,722,973,672,576,339,122,848,066,496,375,402,
643,608,450,584,259,035,287,606,624,238,246,814,321,153,017,318,241,740,428,
788,818,054,448,415,129,252,465,412,313,609,269,022,976,345,461,329,695,641,
201,980,896,847,301,074,045,783,888,997,976,806,889,054,446,716,306,845,603,
524,381,013,183,126,832,794,108,913,609,512,330,680,690,228,803,652,386,139,
891,877,009,871,669,947,140,854,774,841,021,055,600,635,106,928,079,546,144,
956,319,862,096,116,896,703,250,809,707,339,761,598,066,240,884,345,376,715,
110,047,551,064,441,153,061,211,592,789,248,534,145,499,888,422,007,129,746,
457,138,334,269,150,009,056,579,859,354,033,156,713,638,615,170,534,496,368,
718,828,525,085,384,397,846,529,186,221,866,870,692,420,806,724,951,394,499,
022,283,535,104,203,489,319,331,166,067,645,799,768,139,744,715,363,820,325,
868,465,176,252,740,062,895,256,990,587,164,062,253,253,614,533,328,252,708,
394,843,551,219,696,598,211,905,183,640,154,957,964,767,883,590,357,183,682,
297,538,836,653,656,484,522,723,117,916,028,312,128,716,188,502,495,400,999,
188,538,619,296,237,270,168,687,171,520,348,388,141,789,932,566,930,823,418,
424,912,393,832,330,445,847,487,148,651,800,358,919,414,421,337,595,852,367,
837,290,218,462,337,257,178,763,988,355,081,496,487,502,458,458,419,496,374,
214,129,230,422,943,042,256,170,478,643,614,230,868,007,432,970,912,233,348,
595,727,692,259,761,229,823,380,844,812,409,103,143,705,949,496,121,415,849,
787,250,473,446,759,261,216,968,443,876,576,604,429,191,967,759,813,450,643,
977,673,841,451,472,909,124,272,780,664,837,111,581,744,469,190,912,617,919,
522,113,127,614,177,213,766,133,761,063,256,996,938,134,387,440,097,401,408,
036,977,341,125,590,162,300,786,721,792,376,639,867,339,255,626,302,055,900,
264,651,002,400,270,300,716,780,090,847,369,435,300,911,714,122,438,715,152,
836,098,820,845,554,328,781,560,006,928,065,024,579,027,021,973,481,429,679,
514,947,592,566,609,868,138,521,152,111,739,502,203,620,644,928,714,966,834,
607,150,213,082,845,160,791,175,490,799,972,048,550,877,288,328,562,151,516,
476,358,221,040,853,194,327,557,210,933,364,209,983,075,275,853,334,071,040,
924,058,025,828,002,575,942,113,463,191,511,273,839,862,720,736,715,532,692,
743,602,391,040,942,313,995,370,028,171,769,545,259,424,255,670,246,154,156,
072,076,304,029,717,897,174,124,233,924,812,309,046,974,822,461,269,263,566,
031,983,312,189,295,824,879,082,786,610,646,150,708,955,908,767,764,558,201,
858,781,154,703,463,727,143,337,807,306,391,097,812,162,526,304,888,365,053,
543,762,533,179,218,639,243,870,703,396,471,129,170,875,493,415,417,535,208,
553,813,558,705,502,334,627,217,442,239,367,447,709,697,356,433,994,886,173,
245,309,468,429,240,329,143,639,048,389,017,099,759,143,383,362,279,666,210,
993,710,491,758,210,939,290,340,478,093,122,657,247,648,624,605,993,723,537,
510,264,259,623,074,488,469,631,845,975,488,342,657,272,220,333,133,974,931,
655,156,757,410,005,676,132,209,370,694,562,280,501,387,111,941,353,220,905,
008,829,131,045,672,054,962,795,852,434,535,578,449,929,013,829,990,627,448,
909,278,588,353,406,361,019,919,709,732,232,653,317,542,257,594,845,314,287,
131,558,672,508,027,564,671,805,478,254,739,612,643,202,576,542,473,606,504,
574,120,192,289,867,538,086,652,933,306,776,816,775,111,245,300,864,855,578,
299,319,670,046,299,719,621,781,815,951,012,553,148,258,267,130,964,269,636,
145,894,915,538,334,438,298,394,530,540,661,457,280,604,761,763,476,651,538,
865,394,185,377,880,946,504,058,281,973,701,495,611,712,290,552,717,545,768,
301,257,127,833,065,011,904,308,461,398,274,710,183,425,998,672,072,858,824,
750,542,727,253,840,067,786,223,170,881,425,727,486,740,475,112,757,385,558,
418,331,482,245,067,820,805,450,080,865,147,574,593,071,916,076,430,015,010,
786,685,115,246,583,107,806,886,445,998,738,533,658,466,405,721,200,720,448,
450,274,711,221,289,381,354,550,228,803,585,102,441,358,077,560,402,483,761,
867,238,934,131,381,152,669,557,840,458,296,709,295,650,904,381,063,486,875,
766,158,833,197,170,539,993,190,704,872,575,303,408,589,879,284,427,752,082,
507,870,999,966,917,475,491,128,925,191,106,295,414,827,129,387,377,481,828,
324,120,369,825,738,814,621,824,863,506,891,979,970,438,032,778,591,265,525,
601,287,563,581,291,740,067,501,543,578,913,633,069,838,398,765,654,720,222,
863,553,515,912,540,523,412,814,607,885,843,629,808,724,094,004,330,771,659,
978,392,217,912,906,431,402,579,925,387,955,574,287,933,566,253,374,235,914,
309,409,976,451,766,532,733,436,151,699,625,255,689,881,810,091,689,409,562,
991,897,104,547,343,346,795,341,482,643,706,985,372,851,462,816,553,189,932,
832,112,404,142,538,778,955,421,283,328,317,415,196,843,220,778,067,291,213,
634,151,405,876,348,999,976,936,525,890,077,553,496,641,787,116,904,309,637,
752,998,134,805,199,977,359,260,306,612,621,927,894,786,089,198,284,035,077,
257,130,899,477,087,356,296,039,079,841,649,593,560,756,671,068,762,497,088,
703,266,321,381,802,881,787,015,689,305,501,227,406,852,664,738,474,277,584,
837,178,363,876,679,929,055,676,019,330,231,297,110,749,692,485,123,142,488,
624,509,905,454,579,251,128,595,368,032,233,274,314,062,282,081,601,345,051,
697,357,133,866,030,396,136,384,370,836,655,210,461,779,943,741,084,987,556,
719,603,019,445,460,566,004,038,235,706,626,039,454,026,204,197,588,863,162,
090,768,116,202,398,407,240,797,093,680,227,755,773,479,830,387,148,545,562,
973,614,955,039,672,120,408,024,611,532,282,224,581,424,404,195,132,434,661,
737,305,151,596,168,152,180,585,688,150,871,911,961,309,180,620,425,047,584,
302,913,791,338,300,462,980,630,005,085,824,202,086,974,760,974,820,301,262,
746,966,064,502,585,119,938,231,840,674,003,443,741,442,401,425,557,725,935,
272,498,554,698,801,585,662,199,219,999,312,335,556,069,407,106,390,881,091,
948,000,855,288,265,930,426,026,954,002,044,872,742,838,687,587,890,395,133,
330,306,251,601,573,725,300,598,486,378,226,024,559,899,452,196,501,241,282,
872,380,150,035,724,962,040,781,219,732,910,154,500,027,246,721,868,763,303,
717,989,503,542,212,817,406,963,799,829,942,764,633,141,328,347,215,325,451,
510,127,213,015,287,801,637,378,356,710,072,238,351,949,699,849,205,084,855,
310,180,128,195,010,411,960,431,894,051,926,140,385,277,721,895,567,240,421,
408,897,941,993,711,678,042,504,132,691,500,493,675,473,327,457,894,198,345,
417,111,523,208,016,759,125,439,245,938,803,784,400,211,604,593,549,134,354,
512,263,018,262,575,612,906,845,855,593,635,139,645,296,813,810,468,678,562,
813,895,888,869,636,651,677,851,833,141,955,571,576,633,443,230,172,603,812,
594,327,978,420,045,616,095,168,338,300,146,585,574,288,259,407,471,609,328,
251,283,908,960,269,822,755,604,931,371,152,993,482,939,586,767,982,801,382,
924,558,313,996,741,580,142,847,574,787,469,794,915,579,237,199,205,341,801,
712,830,779,452,215,779,443,307,279,460,795,238,885,705,467,427,160,194,174,
033,027,501,671,967,087,561,421,812,247,966,330,879,538,947,623,409,057,614,
759,075,629,757,932,597,627,027,262,804,254,668,930,929,792,201,138,011,926,
129,295,342,809,738,714,364,602,895,963,190,207,667,890,928,873,560,388,738,
639,120,167,895,878,260,415,872,391,464,028,670,061,622,755,256,135,385,495,
677,322,946,445,050,676,589,366,492,824,895,360,514,315,983,077,442,484,151,
938,926,008,397,693,625,449,515,257,214,693,062,485,218,880,325,195,240,295,
668,446,144,444,654,100,774,421,344,734,547,499,108,039,474,300,119,298,576,
605,727,878,459,127,573,371,055,332,641,632,336,173,060,200,173,099,682,614,
496,934,409,610,369,679,029,420,793,341,545,539,129,216,813,679,156,069,312,
390,910,832,897,043,409,449,887,347,349,140,287,506,355,551,540,363,151,372,
033,775,265,475,274,634,043,039,416,710,462,359,748,524,285,203,477,697,885,
910,777,525,421,798,305,734,450,308,653,824,953,768,831,859,428,950,602,150,
411,152,577,922,461,180,152,879,332,936,873,541,246,130,723,926,244,007,014,
494,049,753,237,282,509,793,454,739,789,510,552,759,054,004,813,865,215,842,
116,091,068,973,561,654,984,579,625,112,430,947,467,483,325,703,834,672,887,
929,974,555,068,728,136,860,334,262,894,647,358,470,177,063,310,250,948,391,
974,374,482,195,077,063,785,280,140,476,157,464,119,834,312,194,545,985,834,
868,291,974,040,329,722,202,708,231,681,596,289,804,390,184,026,733,221,699,
399,118,883,689,698,064,691,971,411,719,632,627,435,803,760,385,786,833,385,
279,710,206,421,854,880,575,221,341,661,634,721,710,491,558,314,051,745,170,
917,966,173,533,416,477,704,543,641,655,482,723,963,401,619,048,317,538,699,
451,208,303,431,408,910,204,754,580,430,968,957,843,603,534,404,700,967,992,
985,066,039,354,780,609,501,556,825,210,598,588,564,634,618,755,778,653,100,
095,534,966,038,228,832,950,787,904,831,430,990,219,125,369,905,908,189,703,
852,191,336,372,531,985,438,129,791,015,838,203,513,247,140,812,309,769,396,
326,303,011,945,282,589,501,050,059,480,758,662,337,655,408,107,306,322,390,
664,938,936,605,653,312,134,665,442,646,677,626,360,454,069,720,035,360,006,
840,637,633,347,123,629,310,382,290,754,559,840,699,758,796,264,944,491,800,
358,037,870,458,170,140,227,524,457,100,318,180,626,555,563,809,805,591,496,
663,489,946,259,218,653,310,722,729,980,643,098,354,559,849,408,829,184,163,
572,081,358,204,863,642,749,891,016,118,283,157,028,089,759,605,465,523,265,
018,882,875,652,286,488,025,647,317,735,699,517,612,649,021,045,989,595,507,
746,517,920,189,137,389,407,751,339,674,127,128,182,159,812,512,099,131,388,
101,125,845,932,533,009,414,908,651,766,325,880,010,344,808,732,253,359,482,
012,633,118,198,445,412,426,960,857,626,157,642,421,734,511,267,031,927,740,
152,462,423,063,078,512,525,268,940,448,836,014,946,369,036,571,324,926,456,
851,648,349,437,985,527,189,489,965,646,219,085,816,947,536,753,200,464,563,
190,514,685,577,039,463,372,065,768,742,490,158,152,448,339,352,341,879,839,
820,556,624,031,774,107,813,263,470,871,481,755,308,998,772,718,964,157,553,
814,871,775,279,412,079,809,832,192,534,087,412,897,116,267,848,650,512,808,
547,768,537,495,544,014,532,129,811,195,424,609,541,285,179,841,094,061,585,
218,620,684,322,497,222,719,443,667,281,095,057,019,801,174,375,764,791,615,
915,902,763,543,821,853,034,452,895,923,359,360,194,985,135,588,639,023,833,
429,170,388,533,934,078,396,514,141,317,453,412,002,525,845,289,944,826,166,
287,902,245,572,502,592,968,453,162,047,512,108,525,109,491,097,235,985,609,
973,887,882,834,060,623,026,220,438,814,195,955,482,287,124,847,161,085,514,
270,776,104,203,312,033,317,786,843,803,649,706,951,058,726,118,868,611,131,
029,628,993,285,416,480,455,755,844,274,868,743,068,050,597,806,773,764,799,
604,371,027,943,193,131,748,034,123,091,783,441,895,018,657,930,438,498,114,
812,660,875,062,138,544,601,361,641,149,352,669,214,933,010,058,137,989,461,
781,186,759,104,170,192,972,862,800,595,010,426,855,451,746,463,245,134,638,
833,893,722,054,830,811,087,144,299,981,195,119,303,756,481,992,653,996,787,
262,003,633,458,542,353,132,738,783,124,586,491,126,165,781,690,108,903,275,
086,095,687,468,227,448,954,674,192,328,481,397,307,863,184,852,921,472,797,
019,030,447,910,075,241,146,555,820,636,425,558,929,246,491,572,311,718,564,
161,108,676,461,271,410,693,254,934,150,655,345,699,346,866,064,537,302,347,
749,592,250,372,282,595,778,186,981,107,116,875,227,714,893,753,024,759,566,
063,060,148,221,390,902,615,221,761,547,212,394,972,781,663,189,729,747,296,
426,450,610,546,799,314,845,628,685,848,877,839,807,519,654,833,900,061,480,
762,613,310,149,556,365,615,080,731,025,916,094,792,573,361,158,727,185,618,
591,800,825,973,463,025,421,834,013,718,094,663,482,779,978,606,642,228,089,
236,829,264,438,263,615,790,955,718,593,919,752,602,805,203,609,506,017,515,
283,902,539,827,999,897,728,248,700,359,806,579,763,195,114,172,637,794,665,
560,334,081,918,999,597,759,116,052,718,548,068,114,955,869,878,147,732,087,
560,815,862,318,244,888,028,380,284,606,500,441,165,332,617,921,799,439,895,
276,810,261,988,517,382,006,021,860,786,137,046,977,079,320,106,738,379,000,
471,077,143,607,245,824,185,140,816,467,764,707,108,062,302,499,511,843,648,
469,689,814,919,457,212,924,515,512,744,877,071,812,761,168,712,450,864,700,
945,613,511,483,629,219,684,335,545,775,874,212,113,481,481,577,947,667,861,
325,154,687,025,404,042,773,214,846,837,629,246,267,907,143,317,516,938,077,
148,122,862,201,126,255,580,099,469,464,329,339,073,785,152,443,916,692,984,
195,626,155,543,664,623,328,407,061,982,138,732,299,690,655,605,196,634,266,
328,347,559,202,484,191,589,929,011,743,260,655,744,714,605,660,868,466,255,
503,442,681,800,435,082,282,285,216,979,459,817,810,705,469,385,918,559,777,
327,226,694,576,928,067,549,134,365,985,782,496,141,248,714,871,673,325,213,
212,928,187,630,002,114,733,423,376,488,253,641,600,591,090,926,901,296,196,
638,509,702,924,475,137,454,743,143,694,814,889,433,116,747,011,782,852,764,
187,478,441,244,124,660,296,882,119,507,459,370,675,796,217,755,035,016,557,
690,178,580,380,890,134,221,849,713,209,594,301,042,690,287,013,132,207,286,
516,215,321,732,253,005,012,855,856,351,995,263,224,942,255,707,560,760,277,
103,201,104,680,361,347,552,437,938,336,419,109,213,062,872,053,629,868,518,
090,246,127,467,508,515,508,847,728,079,720,342,820,655,063,509,557,978,908,
413,088,567,683,153,834,261,602,083,851,624,043,853,629,999,361,912,217,017,
328,879,721,356,452,478,789,359,559,195,191,270,748,053,940,729,130,054,019,
927,220,144,581,742,776,215,311,197,483,221,483,130,078,387,971,080,742,282,
887,366,956,917,509,332,373,312,820,586,367,961,718,182,043,959,355,662,479,
884,307,748,779,823,900,681,809,838,143,935,702,958,687,291,234,127,246,291,
749,850,523,340,086,470,484,461,365,654,161,163,603,016,696,046,256,283,036,
465,567,186,926,149,318,791,683,247,784,234,118,216,132,827,969,126,369,626,
462,333,312,615,055,363,563,037,849,715,394,002,754,927,130,329,830,359,815,
644,716,630,429,433,178,043,568,442,502,252,552,440,539,322,386,843,806,891,
377,589,659,233,841,196,869,187,875,555,875,046,799,930,800,038,507,169,226,
396,529,607,542,826,609,440,265,581,835,817,686,605,673,579,946,184,211,288,
254,792,891,535,117,656,843,323,357,202,342,946,713,222,244,563,339,801,558,
974,874,051,965,082,658,348,306,927,841,209,867,021,062,859,283,038,803,895,
375,710,689,711,579,058,165,314,253,184,766,993,202,356,244,933,849,855,634,
803,542,308,389,149,943,921,634,839,676,540,044,843,944,479,809,461,476,004,
537,228,057,440,790,273,460,608,260,460,165,875,222,380,430,441,285,921,874,
591,895,315,134,937,228,095,965,099,875,720,376,098,450,113,150,321,142,465,
626,591,136,048,705,410,638,620,251,334,065,551,181,130,926,085,830,294,123,
239,687,897,800,877,722,887,494,577,097,450,657,307,096,536,735,568,905,193,
128,763,558,274,820,005,387,223,789,747,347,159,858,116,842,933,384,580,074,
192,246,269,537,995,911,161,452,047,378,097,532,501,553,333,916,753,422,528,
789,326,734,346,012,113,373,397,871,947,794,223,137,837,903,572,431,428,992,
139,553,020,112,359,493,656,563,388,337,198,685,213,062,172,068,424,851,309,
627,791,796,877,381,137,106,942,774,105,736,524,008,940,740,635,840,755,798,
711,550,031,709,140,597,044,269,217,864,741,514,986,530,945,994,796,519,387,
598,589,284,498,074,991,475,273,850,102,907,014,605,335,110,574,042,763,969,
851,950,117,011,841,241,839,609,095,878,040,861,834,677,853,793,545,169,594,
741,816,007,949,112,544,886,964,897,093,980,955,565,981,826,937,335,112,496,
428,798,714,225,791,998,170,077,528,435,143,437,368,958,037,219,779,494,826,
982,407,818,492,293,999,762,560,806,200,508,274,757,201,571,080,405,774,312,
861,621,775,257,745,228,386,245,369,456,733,148,755,461,346,627,738,380,039,
798,953,141,365,127,977,870,102,062,040,701,493,790,298,423,425,693,244,951,
198,581,589,188,094,603,235,685,837,056,547,427,202,338,323,422,470,646,852,
666,029,414,052,132,287,240,873,949,891,963,321,646,350,141,130,494,750,749,
632,550,655,064,835,633,002,542,925,279,640,269,849,081,191,508,475,868,134,
761,623,864,205,089,822,861,778,448,429,474,709,053,588,799,145,202,390,659,
437,617,006,359,502,439,969,614,012,800,158,995,806,239,690,704,770,352,931,
353,448,081,908,485,232,855,876,712,183,658,179,979,940,869,656,160,633,470,
136,788,232,213,773,874,202,160,545,581,642,072,250,774,136,495,799,435,058,
835,434,952,482,444,196,437,489,698,529,628,857,409,237,739,925,467,719,778,
430,334,815,614,181,764,596,747,459,518,429,471,377,003,402,695,704,085,543,
112,080,402,931,599,765,377,140,043,256,700,059,382,599,091,194,255,847,756,
549,689,196,598,661,263,621,862,455,323,789,618,516,038,580,927,865,859,597,
611,067,006,844,942,747,443,221,479,221,972,373,911,989,501,278,947,948,936,
209,668,752,223,085,037,917,126,435,912,753,459,298,928,941,579,363,352,973,
767,082,588,061,446,863,065,149,506,976,543,516,140,928,576,865,330,448,984,
201,790,678,171,060,808,739,750,645,528,188,904,760,614,203,285,670,248,393,
666,336,012,811,006,021,692,687,534,478,718,793,943,173,420,727,682,118,221,
511,038,362,214,688,641,968,153,845,231,751,601,992,760,849,448,571,743,719,
245,758,212,795,945,065,648,828,233,095,473,368,075,666,432,854,856,287,751,
587,477,678,737,625,906,916,118,018,355,552,374,850,280,251,942,627,473,665,
413,052,500,306,578,846,100,673,207,228,303,422,144,251,337,803,128,777,090,
629,288,591,962,237,695,388,394,398,908,831,296,975,008,029,930,787,745,749,
648,562,829,820,439,660,388,369,894,461,745,984,540,254,371,896,761,078,484,
920,353,972,150,508,765,857,102,871,283,230,657,155,944,946,558,950,182,455,
608,486,978,566,272,723,543,757,699,028,303,725,877,513,561,727,987,878,711,
282,384,260,767,616,829,774,743,707,678,310,878,396,716,738,921,432,158,090,
117,021,082,057,954,804,902,131,483,823,662,990,482,225,074,537,656,616,905,
872,977,292,020,159,305,958,093,065,984,687,540,163,613,049,490,950,182,041,
290,917,482,031,847,812,893,870,038,738,750,257,941,570,350,571,046,952,660,
516,576,049,902,291,228,633,820,706,853,464,111,280,600,404,329,575,363,310,
091,273,375,521,467,498,501,529,834,946,563,636,299,259,601,774,796,259,360,
736,955,043,906,856,138,646,200,140,048,120,334,848,512,230,626,421,820,734,
705,706,182,037,193,177,229,338,712,534,507,025,536,826,583,490,364,529,879,
291,435,597,399,503,329,342,044,176,605,804,024,977,333,193,316,769,148,321,
524,825,712,381,151,832,136,216,479,017,080,139,181,794,839,485,620,793,098,
775,648,415,129,596,638,838,533,741,686,361,499,708,620,841,773,460,888,033,
440,938,903,793,615,520,301,923,997,822,601,944,063,738,895,052,509,119,075,
152,917,737,470,164,219,611,513,733,127,115,225,818,707,862,059,725,046,607,
338,646,254,608,359,913,847,183,188,357,698,674,996,176,454,951,524,997,377,
102,583,665,051,817,819,193,767,739,134,339,831,009,496,163,961,369,427,913,
881,716,530,890,498,697,041,276,791,477,690,399,982,130,198,142,660,118,160,
298,097,952,883,156,457,054,279,265,962,208,359,059,926,851,006,796,112,901,
468,243,667,565,039,286,197,700,423,178,004,064,588,838,615,160,999,664,420,
661,060,216,462,116,325,847,115,411,762,603,270,562,424,823,358,160,679,627,
929,998,979,218,574,166,195,355,207,645,151,467,575,151,329,540,032,469,494,
456,660,107,519,455,209,773,632,827,024,318,287,899,246,405,906,100,282,629,
043,335,033,315,549,385,643,705,318,183,929,262,593,683,590,656,964,864,160,
954,803,264,450,165,436,105,356,142,420,488,115,771,314,219,038,631,601,490,
715,319,502,921,584,787,750,823,930,951,504,041,197,471,783,805,837,630,929,
059,630,901,168,492,089,221,053,350,318,083,660,376,639,023,668,006,930,419,
421,960,587,842,312,701,394,127,208,267,885,321,816,969,022,492,029,926,575,
525,677,943,273,503,252,858,318,094,026,117,739,376,667,890,149,516,994,078,
094,434,469,015,171,809,862,130,442,879,277,394,142,883,788,029,727,597,866,
663,819,749,226,589,226,681,234,456,485,985,106,597,877,353,707,772,747,506,
672,149,692,440,909,772,973,245,460,207,852,202,968,214,211,154,682,575,201,
613,556,258,731,176,767,136,628,310,102,233,695,227,769,705,276,949,576,194,
427,975,379,001,819,521,217,388,564,884,763,688,978,297,564,343,715,319,968,
153,045,343,032,796,726,005,201,076,899,366,937,381,655,794,338,094,874,619,
850,890,896,053,964,650,046,839,133,444,997,490,952,489,769,142,590,982,108,
945,425,832,687,732,395,210,888,268,347,211,051,744,425,907,299,521,540,063,
856,976,794,108,125,841,741,241,868,056,349,142,098,341,675,519,763,266,538,
778,358,129,040,397,023,249,697,600,274,992,374,901,290,182,100,647,103,137,
851,871,362,603,364,485,866,229,128,549,923,773,998,072,773,954,774,691,154,
524,087,803,733,880,926,262,726,547,521,108,344,829,331,222,398,774,671,345,
229,849,798,141,471,465,682,618,940,934,165,108,410,027,852,761,525,097,531,
329,740,932,589,482,782,077,971,429,972,607,295,857,220,112,567,258,710,741,
871,137,544,213,405,719,464,902,153,494,465,017,569,837,206,157,011,168,897,
600,642,659,415,477,782,350,832,612,178,834,673,826,481,198,233,086,925,101,
300,899,110,582,163,192,957,349,170,401,112,987,658,819,838,507,284,499,692,
842,413,970,888,623,379,140,146,530,836,203,677,550,426,580,348,928,479,806,
961,045,227,875,402,301,359,065,343,302,471,691,109,585,265,784,936,060,278,
723,443,012,458,988,097,204,905,342,309,680,129,599,291,439,754,019,853,849,
506,938,048,744,237,988,580,161,093,208,854,770,668,532,749,821,766,556,095,
084,633,389,488,709,488,255,171,107,019,449,758,665,843,526,291,909,532,564,
248,417,195,240,817,449,918,903,795,206,813,027,539,091,286,028,551,628,082,
546,088,770,645,544,314,201,800,032,849,383,634,200,156,098,220,285,554,880,
671,357,127,343,859,113,568,151,632,404,807,530,124,295,060,780,947,413,718,
848,629,866,752,934,162,702,403,161,909,292,825,824,084,768,463,324,425,007,
245,092,797,256,226,539,543,826,708,583,433,954,623,582,680,287,549,203,496,
243,290,533,242,053,014,540,096,981,087,381,180,562,729,717,244,963,321,470,
056,266,996,569,565,048,114,313,024,002,773,544,256,393,858,565,047,812,038,
981,906,660,089,683,615,314,030,799,776,742,592,296,872,559,544,359,713,949,
667,544,260,336,679,036,671,521,074,832,711,952,242,083,915,299,627,732,168,
145,363,761,507,116,742,758,594,065,826,376,660,725,475,040,656,505,456,691,
611,779,052,374,871,226,143,573,753,679,668,119,989,108,708,777,172,699,137,
368,393,497,743,746,485,972,469,578,721,337,229,671,463,166,747,347,136,023,
650,015,004,970,378,738,518,492,067,846,932,345,413,700,984,569,728,056,037,
276,635,933,943,587,294,077,170,661,329,233,091,533,958,062,774,943,949,428,
516,219,249,426,732,489,961,119,897,217,753,597,218,548,640,615,194,223,550,
032,729,373,553,907,573,065,992,123,315,605,087,010,389,839,147,691,940,712,
570,126,801,474,538,639,541,936,500,315,438,443,012,141,957,338,378,147,505,
944,291,847,386,685,254,020,776,987,628,029,335,401,748,161,648,970,411,903,
879,296,469,611,835,060,558,734,474,132,747,318,348,837,426,531,105,674,696,
434,873,245,911,556,822,348,388,710,863,802,013,703,865,398,170,293,906,935,
691,702,235,928,212,297,416,018,883,705,739,540,133,412,862,544,431,907,262,
927,138,318,002,124,738,813,229,561,749,290,398,130,031,896,630,110,764,486,
884,025,511,927,814,352,051,627,749,823,619,404,256,523,643,825,854,583,186,
200,465,672,299,550,197,430,165,757,404,809,305,943,112,569,206,764,031,903,
902,869,510,003,542,183,188,505,269,637,447,401,989,579,337,805,958,937,311,
409,367,801,986,996,665,130,399,427,081,099,970,400,545,737,243,725,887,615,
689,742,872,871,595,789,500,587,749,117,997,407,857,082,878,831,969,575,342,
578,292,436,437,132,872,002,445,372,455,204,088,570,070,970,042,822,720,441,
303,629,420,347,168,364,268,754,481,467,819,298,597,219,840,769,855,136,388,
752,551,908,255,274,659,791,535,290,627,944,408,746,641,854,769,708,974,317,
681,352,836,856,534,973,950,491,808,873,590,675,984,666,279,344,203,435,628,
315,220,222,256,887,499,102,445,534,609,686,611,970,505,152,315,048,499,075,
802,319,133,829,534,368,019,382,706,511,031,823,579,671,718,037,065,479,194,
382,987,887,545,921,196,259,427,161,302,298,969,850,696,301,815,033,054,903,
346,673,525,639,834,969,677,664,425,120,876,246,004,246,577,896,141,479,309,
793,799,637,423,271,724,005,412,055,029,539,692,030,231,661,903,038,229,648,
894,273,973,785,603,559,560,288,820,693,011,980,748,600,111,608,637,338,485,
908,973,645,179,119,068,912,222,951,401,350,218,761,473,887,453,936,435,365,
472,727,210,536,178,679,815,417,803,994,071,823,606,367,138,421,975,104,128,
857,565,841,526,993,761,484,010,166,720,597,113,924,419,119,290,277,577,772,
586,357,955,819,075,987,547,339,317,896,724,181,887,745,664,225,217,263,349,
955,681,720,584,584,681,919,183,557,830,417,848,004,329,706,365,277,584,436,
144,289,630,817,218,851,430,321,010,208,212,613,394,787,886,746,095,730,563,
988,912,718,360,937,543,634,050,827,214,722,564,429,440,673,881,268,672,123,
207,869,063,213,195,462,974,882,316,934,295,717,336,468,053,442,902,302,679,
207,462,333,575,960,119,728,732,170,395,105,147,643,304,617,853,545,411,244,
691,988,773,368,629,228,243,187,101,974,281,455,728,680,004,276,970,013,662,
957,265,755,184,922,999,522,118,988,019,221,627,940,635,739,999,151,757,539,
065,217,605,260,004,049,302,504,177,907,807,176,887,998,351,377,169,685,709,
124,102,594,350,608,529,953,744,594,465,889,909,902,211,010,031,914,071,460,
747,314,275,196,928,984,239,057,017,756,165,037,556,531,770,526,108,837,441,
493,650,868,558,824,846,269,730,311,174,942,540,168,861,305,293,002,444,012,
814,471,856,364,226,369,173,270,807,493,492,667,451,860,426,524,034,712,415,
995,044,058,328,505,976,036,287,239,018,145,744,067,611,610,300,049,962,066,
937,681,927,310,920,202,204,966,974,751,857,593,687,179,218,814,046,414,372,
961,966,809,634,369,781,990,173,201,342,954,712,332,291,596,577,684,917,558,
805,056,589,469,649,704,284,857,159,319,120,222,602,586,390,491,599,260,724,
430,783,846,054,288,796,853,119,537,916,635,322,889,333,982,545,170,849,765,
792,793,125,877,188,863,851,055,793,859,352,089,143,251,600,852,851,179,908,
701,893,285,118,608,546,785,727,682,614,659,248,877,500,498,577,248,263,405,
764,680,014,246,451,318,716,456,936,932,058,708,412,924,763,323,300,350,194,
239,954,821,779,076,404,105,860,975,999,926,651,459,353,449,308,072,000,695,
450,882,167,652,584,205,039,607,249,866,698,614,031,843,296,891,368,924,613,
699,354,475,316,870,947,391,114,503,147,521,307,145,854,116,916,362,120,103,
029,761,003,586,950,580,907,379,802,034,627,600,644,991,026,776,663,701,173,
910,970,569,274,856,526,511,454,452,510,426,207,827,533,722,433,093,674,006,
273,265,767,949,896,349,419,435,227,414,589,678,368,255,892,998,625,610,305,
163,456,576,072,143,186,774,442,646,460,648,171,216,507,038,243,024,155,198,
361,140,039,976,691,287,797,072,135,359,183,250,801,631,207,850,571,033,113,
190,712,821,302,854,424,860,100,239,864,979,643,390,008,399,236,307,222,848,
242,661,444,349,331,471,635,078,305,050,055,475,448,344,007,537,024,968,172,
020,010,720,502,866,107,387,865,679,167,969,178,187,928,453,297,444,352,732,
963,849,083,993,127,864,470,563,690,766,794,178,645,876,886,840,018,903,072,
394,611,652,715,366,156,356,451,541,708,832,826,755,816,159,990,998,578,872,
774,367,031,004,506,623,196,314,263,845,455,342,886,149,355,141,391,659,810,
531,723,201,539,966,152,141,448,366,662,747,988,060,276,251,212,466,489,058,
856,838,144,088,721,685,937,805,678,142,441,368,988,168,939,182,278,527,930,
269,570,036,146,651,995,641,092,927,108,035,922,327,778,024,962,059,088,636,
732,779,491,665,896,095,449,411,100,682,945,059,478,062,368,614,752,533,793,
858,799,583,138,785,286,162,706,093,600,920,091,196,426,864,017,007,682,835,
068,659,916,269,473,159,715,154,864,009,305,485,682,521,251,666,804,427,614,
165,508,899,532,215,707,766,914,768,463,306,058,828,983,520,973,939,123,773,
938,200,845,244,944,507,126,120,752,715,984,743,720,919,962,110,149,768,882,
193,918,724,985,644,903,913,855,534,822,879,596,428,510,494,478,389,423,484,
482,842,234,979,471,467,986,708,982,091,044,575,922,101,528,474,089,834,433,
838,733,424,935,602,435,012,739,593,531,966,767,671,152,356,835,726,296,708,
270,748,642,629,419,514,300,960,423,982,323,289,580,433,233,698,728,047,815,
870,360,960,045,983,584,219,078,928,109,319,595,091,268,771,928,901,863,190,
208,619,116,320,382,167,684,079,031,660,362,112,913,682,780,956,453,525,558,
114,135,944,842,690,305,886,107,614,321,390,448,967,770,096,004,191,458,956,
712,098,977,262,155,506,105,366,106,028,457,085,672,901,419,921,917,541,505,
950,306,870,373,686,546,522,725,615,144,901,975,939,100,490,619,081,269,280,
500,592,298,496,459,329,544,004,755,525,111,565,053,889,909,790,067,816,162,
473,941,912,375,761,340,885,724,006,469,491,780,302,673,521,218,993,378,107,
947,566,443,516,900,095,016,455,829,320,083,853,667,251,058,840,653,795,774,
451,963,744,852,588,719,742,041,085,844,552,214,125,189,022,377,468,682,711,
073,135,838,381,189,034,880,064,934,106,453,909,427,590,104,262,193,233,014,
519,396,018,054,083,298,872,109,548,857,229,161,107,231,338,389,551,780,774,
111,274,219,476,068,959,088,674,772,136,465,214,249,593,696,504,137,710,319,
382,913,394,747,028,562,440,645,966,958,732,408,138,346,413,816,718,620,673,
379,751,605,251,262,577,511,634,949,989,858,353,211,423,523,962,487,009,037,
596,267,767,850,061,595,762,341,303,778,944,978,085,139,379,113,936,218,629,
660,265,760,570,967,900,204,203,913,186,427,830,692,359,158,564,440,526,464,
691,053,879,565,573,224,251,345,385,201,506,119,496,385,872,553,411,346,392,
041,115,881,264,620,508,143,867,157,628,189,880,807,564,270,950,116,114,640,
828,593,026,828,902,301,794,322,780,055,148,516,195,044,949,242,300,628,219,
450,860,439,240,837,346,739,401,977,619,210,714,033,045,927,683,555,626,409,
681,044,551,860,232,199,487,119,947,131,098,339,024,678,845,076,352,351,196,
113,329,951,409,798,691,738,081,673,535,578,081,945,235,388,589,501,496,663,
472,157,469,809,143,017,149,556,243,814,379,975,331,090,026,490,206,309,318,
501,009,669,447,301,220,063,205,619,776,024,831,351,179,826,720,483,999,386,
983,271,915,083,148,300,360,335,773,610,307,465,673,321,501,211,294,353,404,
364,859,850,980,127,685,704,362,682,327,663,069,272,782,920,144,146,752,923,
952,776,933,207,192,491,810,519,852,498,336,720,530,932,309,425,209,608,836,
162,860,134,934,498,440,917,642,485,348,216,682,548,593,321,252,377,857,065,
040,743,303,279,980,134,340,219,898,480,885,186,274,730,050,870,915,916,829,
871,480,714,141,908,047,620,612,744,043,520,503,056,120,735,364,464,582,949,
209,901,048,115,834,128,961,394,251,302,725,071,859,796,518,595,924,083,057,
746,821,070,673,925,549,176,228,121,781,048,432,600,938,569,586,045,201,154,
367,884,080,466,088,961,312,511,834,564,118,734,003,470,417,000,606,811,643,
719,464,820,561,869,504,813,929,669,775,432,973,403,326,467,926,357,532,440,
137,311,055,953,147,073,906,856,465,896,188,101,365,864,841,347,125,337,056,
566,610,586,601,065,760,182,428,098,146,172,925,808,026,527,343,011,191,088,
677,568,232,435,630,108,590,390,392,812,258,823,690,470,172,428,827,402,084,
880,949,268,068,895,856,134,857,490,830,893,010,232,441,717,323,983,554,863,
739,790,192,838,198,344,477,849,390,603,283,222,368,649,855,730,266,402,027,
043,658,257,560,892,353,180,936,498,877,855,529,471,990,952,009,387,269,229,
691,662,540,514,220,157,045,291,645,475,899,247,137,513,005,034,425,166,462,
552,112,926,673,082,228,083,611,150,998,143,839,519,316,848,609,429,617,484,
923,701,293,740,009,362,075,031,492,900,773,924,663,288,063,638,715,419,844,
057,586,506,221,556,612,351,629,625,866,164,804,665,368,694,510,682,484,234,
107,791,524,873,605,776,296,695,397,634,703,951,229,970,198,399,869,692,691,
935,683,191,150,444,952,345,739,805,646,094,877,658,655,968,995,572,686,915,
360,922,462,302,316,714,675,891,666,379,394,689,479,114,636,196,047,192,513,
707,140,317,934,664,814,711,201,129,723,646,816,036,301,992,689,195,704,678,
275,585,796,004,056,971,250,134,345,889,015,903,013,082,682,533,938,097,553,
102,625,328,884,391,726,820,549,788,123,329,188,781,415,038,602,685,125,763,
496,577,564,362,272,413,719,155,564,433,796,122,775,387,361,830,801,629,339,
615,673,074,678,499,502,924,519,726,247,602,418,629,942,447,571,329,323,966,
489,568,796,091,406,080,505,761,817,078,831,596,221,040,481,281,232,679,050,
252,326,600,780,313,230,892,067,080,658,392,718,204,080,753,994,951,681,744,
419,061,367,230,363,821,919,632,322,955,473,712,565,275,681,315,736,519,275,
848,841,727,831,256,830,523,110,054,722,525,429,247,957,018,047,611,676,806,
729,477,025,268,401,536,374,543,397,280,978,088,684,462,481,814,874,816,341,
169,652,121,158,943,987,868,550,480,263,592,944,604,961,141,879,053,973,454,
778,776,022,769,360,666,875,151,088,297,436,113,224,915,931,916,007,483,366,
397,936,682,077,482,299,780,569,701,280,084,260,802,527,895,769,686,858,860,
059,343,901,950,594,011,723,454,447,309,668,705,300,650,810,118,784,876,250,
622,809,550,894,538,208,569,604,714,117,291,613,776,396,989,360,464,079,923,
434,590,865,339,282,127,778,015,511,896,312,426,299,111,511,326,961,368,332,
402,948,312,260,618,220,106,103,066,905,721,177,111,293,966,654,157,125,907,
438,353,964,928,760,786,009,506,451,312,761,094,714,410,072,390,765,795,522,
416,264,527,315,513,898,980,564,992,010,424,529,335,676,948,913,325,778,851,
945,393,373,398,027,084,653,599,858,739,848,896,270,867,935,755,718,659,208,
416,432,144,095,398,436,109,124,018,934,559,016,488,476,019,863,855,807,868,
453,802,570,237,120,952,931,025,208,695,547,694,342,913,348,776,935,864,500,
309,123,925,377,101,455,080,472,871,887,058,600,997,831,386,900,033,646,516,
317,800,809,453,338,021,250,672,573,121,325,631,251,326,447,140,673,175,686,
861,920,160,217,794,865,854,824,078,293,060,858,345,631,214,582,560,123,943,
329,737,813,540,972,895,595,977,370,137,625,683,323,465,985,350,367,006,720,
603,995,849,766,693,141,957,604,067,150,061,880,883,392,745,216,124,441,723,
053,127,312,980,180,735,852,202,238,446,447,141,562,409,584,658,429,535,055,
278,362,893,719,051,497,720,388,814,129,811,178,509,151,128,067,379,251,041,
262,816,164,446,362,795,838,014,469,372,117,900,639,970,379,436,846,758,350,
881,333,779,745,593,344,252,955,472,210,146,389,998,655,487,318,723,337,877,
107,306,865,159,003,298,377,687,151,930,353,536,591,245,842,889,477,104,857,
291,606,865,672,114,672,584,401,728,035,151,165,343,043,322,665,199,527,232,
385,028,847,738,123,130,869,483,927,147,818,374,883,317,454,399,296,120,182,
283,425,664,616,741,632,068,509,743,491,378,122,844,316,629,074,755,105,582,
582,756,897,246,864,945,494,351,586,493,415,188,605,014,112,504,069,429,629,
591,583,545,963,736,761,719,120,395,682,943,470,059,041,512,368,458,823,774,
841,515,452,251,462,472,610,141,859,796,300,247,217,694,490,265,801,535,001,
185,608,499,468,098,048,800,317,300,566,398,332,691,983,627,552,142,855,716,
041,900,513,777,767,550,766,985,690,107,153,263,240,079,649,848,912,110,110,
559,138,781,895,028,378,243,020,185,663,572,661,535,101,340,177,355,148,692,
641,012,518,511,868,140,985,026,285,946,053,411,839,243,175,776,593,273,921,
760,152,027,707,351,631,995,910,935,700,640,634,929,395,981,985,394,801,474,
228,645,534,815,797,184,560,834,104,904,206,165,590,521,299,175,659,258,607,
664,059,091,018,792,041,098,256,347,575,718,329,692,861,907,039,978,061,242,
362,183,173,069,507,152,081,683,756,055,714,754,675,981,928,409,919,452,784,
625,677,276,236,749,372,480,591,075,941,289,095,409,733,533,152,340,271,678,
666,266,416,600,609,105,716,636,732,733,883,587,442,729,730,758,989,485,415,
922,175,025,949,519,085,406,132,214,122,943,215,213,995,785,178,346,977,061,
915,643,254,986,064,307,354,430,945,600,686,404,870,463,188,375,923,020,140,
799,485,140,453,837,914,291,900,709,424,521,505,060,920,392,377,149,848,776,
770,760,991,038,200,094,018,330,496,321,993,365,242,017,309,696,556,130,873,
931,902,916,051,658,393,871,109,028,202,698,454,395,558,130,724,128,191,922,
966,012,528,608,991,894,403,060,622,966,272,984,554,187,063,841,897,382,195,
431,006,247,624,196,566,947,242,768,085,307,785,933,934,857,267,651,470,142,
684,219,065,414,558,453,954,624,570,913,290,531,386,513,206,793,879,475,129,
057,832,187,839,140,649,054,062,833,819,243,027,169,069,061,913,796,174,808,
364,801,037,330,159,152,650,514,538,393,183,913,561,799,269,683,642,807,850,
850,862,799,420,622,814,432,618,053,389,164,273,998,996,113,259,702,823,658,
823,290,023,711,391,442,391,807,892,286,462,311,671,809,722,817,170,869,225,
974,087,631,943,765,681,038,009,139,137,359,068,309,354,868,361,299,698,965,
755,013,194,568,258,450,363,426,858,887,481,263,514,438,083,777,944,398,137,
793,107,759,189,761,772,400,718,720,709,354,282,288,577,538,551,076,420,024,
857,543,356,241,411,371,024,709,419,382,791,775,685,113,022,048,354,807,860,
440,330,816,795,909,770,667,352,504,341,879,954,529,480,194,603,122,717,711,
587,198,946,566,426,940,760,951,623,798,293,910,372,247,729,501,195,642,539,
720,686,755,464,836,281,660,700,079,874,888,011,252,083,900,559,205,830,064,
787,259,805,966,876,453,901,143,125,820,281,319,551,212,505,729,703,888,541,
036,038,687,102,061,291,439,573,540,867,587,500,148,055,137,146,927,392,567,
794,721,455,528,211,006,480,830,804,255,778,314,148,248,138,075,644,701,953,
536,422,296,891,511,420,428,912,729,356,431,095,158,204,633,572,651,747,870,
443,572,344,311,064,587,080,750,181,641,350,129,838,836,168,676,959,575,567,
103,719,038,208,052,509,449,384,657,463,315,428,011,992,258,183,027,783,634,
098,718,677,679,200,484,854,594,366,388,807,384,737,509,696,154,546,536,849,
308,078,932,543,029,016,420,427,079,872,429,192,425,645,490,969,998,745,427,
804,481,132,232,781,685,309,408,073,486,864,524,639,913,176,432,641,804,179,
228,001,630,177,481,337,966,520,352,331,529,371,641,034,272,935,007,898,179,
968,608,772,254,921,683,927,780,652,582,338,889,634,813,374,575,400,456,571,
728,752,082,906,867,309,763,573,145,807,485,846,050,973,595,843,924,716,395,
982,906,951,628,084,430,224,855,938,725,564,006,252,789,299,922,524,160,856,
214,412,632,502,462,098,615,073,985,619,761,528,181,750,089,755,037,182,651,
529,960,416,476,414,596,677,843,834,050,468,528,432,413,967,877,406,870,000,
315,732,417,901,738,236,463,569,182,761,844,889,402,242,321,434,581,143,848,
886,978,005,816,598,198,021,939,628,199,775,506,819,511,586,959,620,763,463,
601,024,776,997,603,107,747,651,168,505,568,986,985,093,555,461,565,818,247,
455,407,041,876,142,760,006,771,033,455,643,573,169,528,562,795,940,928,893,
176,269,987,218,617,582,479,642,875,155,315,964,998,908,427,374,600,686,490,
740,845,649,629,791,388,253,051,753,591,801,307,858,041,487,600,231,408,104,
831,505,704,187,301,381,749,846,575,535,048,706,931,377,756,214,829,441,648,
087,090,903,893,842,309,133,476,563,708,642,320,537,949,711,573,836,143,540,
435,578,854,058,939,937,285,330,970,007,838,681,399,437,668,276,784,378,000,
274,726,206,318,433,610,901,006,204,856,194,465,701,440,657,125,071,558,704,
876,180,424,614,854,535,290,731,769,379,522,611,784,766,090,611,407,305,965,
457,162,660,572,504,506,447,855,013,706,695,601,500,634,595,726,436,694,564,
067,208,151,095,044,236,137,616,811,048,409,326,665,386,584,637,882,746,452,
535,226,291,321,656,861,934,321,852,517,830,234,235,440,314,464,598,630,408,
168,669,031,403,041,939,072,919,324,205,482,560,084,412,306,129,382,287,520,
054,907,447,351,639,568,894,984,963,983,307,643,595,376,822,436,201,409,693,
178,146,311,383,996,119,394,003,971,521,614,774,890,480,469,931,482,719,888,
402,561,981,779,458,729,366,704,204,887,403,237,552,432,793,464,181,977,582,
958,294,638,773,391,449,333,398,765,840,859,522,900,303,272,288,243,918,788,
077,122,676,000,851,917,202,290,158,711,209,089,379,992,003,035,300,868,044,
318,183,819,745,655,411,910,041,752,786,128,775,246,771,074,831,075,348,592,
550,588,646,258,780,156,357,838,385,776,614,869,036,498,846,052,181,166,017,
404,353,236,851,773,655,365,795,451,714,787,019,362,766,638,879,246,406,205,
217,612,417,632,181,342,569,728,485,137,501,400,465,672,552,674,502,282,522,
791,049,837,754,171,187,207,848,908,470,588,704,648,070,829,931,519,645,506,
304,508,503,127,671,490,883,748,790,268,925,093,045,618,425,275,911,709,961,
816,238,233,442,319,096,603,048,873,795,524,269,528,395,270,652,283,185,658,
022,810,447,651,198,922,240,073,938,311,253,519,941,874,241,829,594,019,313,
256,295,259,929,660,708,171,040,269,842,349,728,795,954,672,236,850,453,052,
374,195,764,384,265,688,469,681,052,737,309,107,523,307,638,765,100,452,103,
351,556,013,002,774,778,706,484,011,991,602,968,445,066,160,879,934,433,338,
699,750,264,365,040,153,937,692,390,059,941,613,292,217,974,497,452,815,755,
696,500,956,765,529,660,066,368,681,742,368,199,332,362,200,795,100,648,223,
912,417,082,700,531,323,403,966,751,651,643,897,700,786,647,839,085,190,409,
109,947,816,553,202,562,503,387,576,227,887,457,017,159,927,164,557,986,990,
128,133,180,671,653,237,440,607,751,821,359,964,757,623,510,350,968,962,550,
491,548,801,506,039,854,082,615,292,206,399,018,404,539,569,306,632,891,735,
562,819,120,916,911,456,367,573,959,031,174,056,764,721,394,748,604,521,207,
160,994,837,812,986,396,404,790,084,783,438,722,848,780,551,168,587,531,033,
197,167,751,458,029,029,943,622,839,158,052,634,075,161,684,849,532,567,131,
942,259,756,559,488,448,011,780,299,005,443,913,685,446,504,834,401,585,550,
083,307,041,516,721,488,415,105,523,186,404,926,519,596,623,016,932,819,109,
309,766,770,532,274,167,526,076,127,183,834,501,117,157,590,323,234,438,986,
755,345,163,869,554,931,558,621,322,579,901,196,433,235,030,624,796,310,716,
376,248,229,049,822,294,018,779,039,655,962,057,378,447,309,568,490,087,689,
098,407,821,064,925,362,317,085,365,208,927,159,214,460,328,350,815,208,331,
704,156,251,702,197,465,080,462,746,652,746,617,707,886,285,801,609,607,967,
975,599,104,227,154,282,488,028,263,395,351,781,647,452,645,204,718,728,805,
991,785,266,556,378,244,743,787,068,766,655,821,936,766,666,074,112,194,932,
637,018,449,216,442,113,571,965,275,817,257,644,016,351,687,992,124,700,936,
178,913,837,482,885,950,832,850,819,155,491,682,086,638,871,244,513,495,346,
789,524,422,936,013,815,159,238,072,643,814,626,610,904,702,421,320,746,840,
427,714,612,248,497,450,304,546,962,852,378,896,617,900,449,721,510,905,430,
476,254,717,127,117,175,146,637,227,736,740,913,765,715,447,808,361,119,866,
657,823,796,012,297,401,970,483,901,135,312,159,265,124,936,846,243,090,667,
761,577,070,878,001,482,471,001,202,676,366,623,522,787,664,871,730,526,752,
519,543,333,186,459,388,950,622,424,591,618,847,227,866,006,997,641,465,677,
693,052,059,646,108,444,146,452,047,396,627,734,238,580,131,897,748,954,558,
057,508,853,716,801,764,488,822,535,417,958,170,746,448,468,687,111,181,011,
419,331,636,500,429,069,910,981,829,635,390,042,633,708,553,042,115,871,397,
393,889,533,481,390,698,363,720,941,085,237,436,499,879,757,320,338,340,295,
021,150,651,261,478,844,844,789,207,605,040,288,519,681,755,047,436,057,782,
117,924,750,200,309,627,632,001,907,025,248,117,955,763,467,204,698,240,463,
163,505,511,630,045,296,798,573,548,914,725,316,250,780,554,246,120,040,402,
438,678,180,670,565,189,690,503,525,102,646,376,418,805,057,864,945,835,767,
153,102,244,688,729,642,419,705,269,337,849,718,432,707,470,950,133,102,491,
421,408,603,656,791,539,091,972,034,281,811,293,298,152,413,598,511,720,959,
443,170,228,476,927,523,064,956,676,087,802,004,700,670,043,599,270,875,234,
887,712,954,911,104,323,699,930,081,689,375,075,744,503,988,478,168,555,429,
619,252,058,302,473,863,031,626,019,102,775,286,451,513,760,191,023,772,957,
150,611,501,877,114,726,916,145,355,825,371,440,027,472,389,664,578,989,166,
667,478,679,238,063,288,442,292,840,286,875,830,985,470,386,526,134,922,996,
156,049,004,931,128,187,255,352,833,445,437,835,252,411,082,163,131,219,572,
339,607,468,054,749,854,908,731,420,884,857,687,174,388,132,436,713,949,880,
153,636,758,888,418,185,861,736,385,348,575,738,168,018,047,898,496,820,734,
439,218,147,131,250,180,046,709,983,369,494,486,262,008,608,279,354,453,802,
715,285,560,852,907,469,867,261,889,062,451,583,452,561,915,456,578,279,138,
556,704,236,586,994,182,480,862,205,451,830,892,370,751,053,587,062,126,245,
249,573,026,399,927,748,195,345,005,064,270,647,351,274,484,819,757,062,617,
434,663,221,422,251,781,039,349,158,120,396,077,138,058,542,817,038,115,049,
083,723,708,541,169,422,304,315,449,723,339,515,529,811,866,824,627,341,593,
361,835,690,265,747,323,255,068,758,586,954,371,718,933,877,602,443,515,956,
017,324,582,299,025,075,284,237,412,801,278,097,925,915,126,152,536,846,735,
725,495,312,160,174,998,987,377,276,118,064,943,870,336,827,749,122,910,005,
360,312,703,353,227,788,899,370,414,244,943,365,273,827,582,267,627,857,372,
716,972,725,835,429,122,454,755,435,830,802,602,563,601,665,352,432,586,532,
231,976,889,215,851,441,886,393,751,401,325,008,720,477,383,314,680,732,712,
032,867,092,325,410,321,369,709,484,297,566,248,535,848,475,606,513,799,117,
462,864,614,245,740,998,994,342,856,043,136,211,480,208,259,945,609,903,844,
712,463,581,638,961,191,691,243,670,966,844,948,828,844,015,450,343,516,526,
131,364,602,622,241,215,286,866,209,728,561,763,475,314,455,145,653,296,315,
629,608,083,985,432,746,861,754,759,605,923,483,542,178,513,586,141,344,222,
523,099,735,624,171,510,887,637,700,716,273,478,034,999,149,568,520,128,633,
232,097,562,704,879,394,020,766,758,306,968,581,995,225,853,935,415,851,622,
787,568,752,382,067,587,252,324,197,915,252,982,392,434,566,270,001,749,960,
074,730,830,057,215,421,412,176,688,491,239,964,270,720,899,840,992,306,561,
606,015,692,867,863,873,845,760,665,811,563,466,637,378,155,353,440,251,966,
753,109,277,048,289,793,681,302,129,368,208,263,348,461,364,073,134,251,886,
460,116,352,256,196,827,297,695,649,339,934,033,430,640,648,412,454,329,577,
426,743,031,132,928,861,507,772,788,082,394,331,882,854,629,996,545,762,538,
797,060,026,126,948,991,625,312,674,549,993,157,956,947,633,167,081,188,790,
966,383,184,505,422,222,163,519,798,221,294,652,053,440,037,925,491,228,902,
852,432,568,007,958,598,353,609,445,273,293,794,630,294,487,826,401,919,235,
361,256,521,842,049,254,665,404,504,835,874,938,320,595,674,937,908,154,746,
251,358,132,904,833,314,150,106,161,283,578,701,323,844,809,720,583,110,633,
650,978,730,199,114,150,091,964,171,257,588,023,071,731,886,272,583,345,541,
638,868,497,252,566,631,188,310,869,312,655,846,757,624,612,370,255,401,141,
060,888,186,997,550,833,259,374,900,461,968,168,495,535,072,245,792,738,877,
259,566,362,979,864,982,055,868,629,351,711,557,966,294,084,266,207,076,028,
417,129,568,122,707,974,327,117,010,258,836,673,149,648,244,786,713,090,640,
327,935,946,958,947,684,875,239,912,411,400,563,145,328,490,768,139,131,260,
570,574,741,879,372,417,150,592,246,862,134,017,523,238,149,429,291,161,913,
046,326,038,815,497,396,479,474,566,523,791,149,750,224,786,558,949,682,466,
363,448,581,827,228,616,593,709,684,025,690,304,547,008,186,642,302,598,145,
610,634,184,563,961,345,213,542,762,600,450,209,706,687,983,399,717,823,059,
887,642,464,799,826,623,614,369,237,909,427,066,543,865,698,281,236,156,523,
348,437,598,313,086,798,342,766,003,301,469,503,819,043,731,778,139,675,022,
154,855,625,266,160,293,942,114,676,768,167,380,820,250,731,616,485,457,394,
151,084,377,554,178,462,259,284,719,748,398,677,057,073,422,150,830,367,677,
741,747,035,264,103,842,994,803,998,043,833,439,067,313,894,631,458,889,080,
069,812,947,056,475,313,219,654,539,874,593,264,520,155,854,435,976,083,973,
446,686,996,934,948,989,665,920,512,127,532,591,031,560,642,436,167,911,770,
901,226,210,512,647,281,434,571,189,902,545,445,083,469,395,372,108,813,235,
691,312,597,048,279,553,157,649,765,069,509,098,587,147,289,600,228,570,376,
998,925,825,455,115,918,164,913,421,726,493,951,969,650,471,842,577,544,588,
540,725,373,580,108,813,042,710,710,035,373,338,243,815,333,654,311,479,815,
120,662,625,960,985,849,352,739,706,729,878,336,853,402,008,696,212,531,112,
227,415,597,178,762,774,445,820,355,491,159,868,300,522,851,577,808,158,212,
559,094,117,785,040,601,760,430,083,738,128,543,768,585,260,325,849,938,339,
773,944,020,822,984,770,621,874,988,135,934,699,642,414,408,729,188,947,361,
131,338,561,272,414,318,294,664,140,610,871,727,267,831,278,726,479,557,432,
699,482,954,952,982,488,466,591,957,783,213,922,505,790,498,981,075,279,118,
792,970,554,589,206,269,758,830,911,001,428,607,310,095,066,145,762,629,839,
502,496,126,913,558,573,565,882,420,736,483,399,006,374,216,668,852,477,280,
986,376,298,289,215,694,657,047,425,712,353,415,759,309,528,449,166,282,878,
390,143,181,823,175,120,447,881,948,459,648,931,676,238,050,168,493,643,773,
181,395,413,765,232,875,144,572,982,689,688,888,672,386,965,980,283,017,800,
823,782,235,314,637,014,472,864,950,770,489,845,913,230,562,645,206,206,193,
824,801,197,496,046,321,347,127,059,631,059,876,196,196,661,564,963,153,465,
733,626,242,540,066,133,419,593,093,653,927,619,312,921,868,063,332,026,375,
567,965,188,139,703,016,559,146,815,645,234,142,043,184,368,935,334,956,455,
565,055,085,714,577,338,168,074,157,971,338,259,556,526,981,188,847,082,174,
741,460,224,131,248,103,965,826,965,341,967,711,878,294,575,706,502,579,791,
544,124,074,780,459,397,450,937,184,205,790,511,478,763,759,693,370,689,363,
415,150,097,700,000,276,811,129,808,579,595,485,107,754,245,513,107,628,057,
063,633,522,147,553,577,890,839,568,378,324,100,870,201,918,155,564,249,307,
521,743,423,919,047,466,903,427,666,228,480,131,003,668,846,334,301,077,540,
733,234,721,709,570,103,355,947,573,437,412,181,876,678,581,906,689,630,868,
511,978,303,747,728,176,589,700,003,897,114,178,501,295,713,789,286,740,570,
795,206,197,592,432,270,360,464,042,326,828,666,647,094,012,014,154,556,701,
009,384,171,879,758,558,086,767,847,744,228,529,410,703,841,139,832,822,050,
915,342,384,027,919,918,649,665,564,298,016,385,871,394,687,332,499,468,683,
064,754,202,144,691,222,200,576,128,533,101,655,380,326,822,618,604,682,471,
264,654,988,202,521,928,565,318,286,274,638,799,249,165,253,969,506,937,877,
894,995,893,277,874,322,924,479,519,223,676,513,554,181,645,636,813,767,008,
824,269,931,475,856,029,459,558,354,526,771,052,765,695,089,146,705,086,357,
027,917,977,043,402,971,721,688,587,893,221,686,672,559,390,757,513,615,300,
150,531,784,860,451,502,730,874,680,959,125,282,510,954,797,244,309,970,517,
558,369,452,264,611,517,338,194,405,278,358,599,105,776,300,690,989,535,774,
598,899,066,954,375,387,741,377,814,422,112,940,694,068,200,352,274,554,330,
374,857,086,379,337,175,132,404,302,936,191,098,904,775,497,359,358,361,005,
236,574,640,464,738,828,521,404,882,155,851,316,664,391,139,739,118,595,528,
274,515,414,654,390,735,803,036,884,898,787,091,162,518,896,715,176,041,305,
479,297,027,458,642,337,174,043,984,018,531,671,149,328,930,510,402,740,072,
586,811,349,634,933,136,416,342,934,814,629,794,969,729,165,084,297,296,808,
155,035,644,484,380,558,075,651,205,561,139,453,552,848,394,442,367,016,387,
483,756,840,304,680,272,668,556,045,252,559,588,227,028,569,225,250,625,292,
713,883,014,891,180,152,791,493,637,078,125,917,635,473,949,160,815,739,286,
474,967,239,247,745,787,993,410,366,809,910,565,454,420,987,250,836,811,949,
393,205,655,191,241,068,589,290,277,198,041,120,614,845,581,667,932,781,744,
552,076,916,145,502,508,792,799,984,976,870,085,873,222,014,897,595,804,383,
921,831,011,592,804,164,692,018,787,520,363,355,345,455,369,268,185,192,334,
530,659,419,441,311,383,244,375,949,286,407,257,025,581,026,037,568,821,449,
656,259,961,714,443,555,725,603,714,966,670,013,337,326,092,853,490,744,341,
902,770,056,903,543,542,500,231,013,433,011,604,741,418,098,482,504,236,195,
948,534,907,301,078,845,806,434,555,604,643,829,605,071,668,506,456,961,358,
408,639,478,785,667,192,769,928,209,950,410,305,480,771,719,650,292,576,658,
875,752,417,538,056,379,450,146,309,961,719,842,289,646,966,014,611,115,502,
484,478,342,311,128,264,781,256,882,118,044,851,315,621,218,537,573,913,984,
304,848,898,885,589,755,438,057,001,373,900,140,592,186,118,247,249,062,651,
323,839,339,717,145,885,768,173,325,793,821,296,482,891,855,110,882,807,321,
040,170,914,029,383,957,690,579,270,275,353,568,271,444,307,753,190,161,461,
434,408,547,022,459,362,149,770,608,794,810,764,840,723,566,728,120,119,324,
162,933,829,811,048,332,271,244,973,804,125,124,754,110,682,181,832,597,186,
885,868,239,041,787,475,314,020,372,384,340,399,916,632,692,105,934,009,667,
824,426,489,166,281,192,156,876,804,765,975,524,201,277,755,493,675,626,793,
251,691,480,196,701,514,590,765,360,976,385,477,511,970,644,376,408,054,505,
019,163,256,749,581,648,630,958,515,763,791,860,712,633,323,348,350,734,914,
547,715,645,555,349,988,544,196,223,167,385,972,301,110,078,653,822,884,752,
928,024,959,242,870,908,671,445,006,751,364,993,760,730,993,332,430,383,495,
307,975,346,219,484,538,635,295,538,671,861,842,921,060,410,348,229,166,929,
042,295,332,688,881,197,626,964,077,262,591,264,254,581,933,495,521,199,117,
300,811,171,677,044,651,192,025,573,630,394,416,836,629,361,624,513,391,644,
220,423,444,480,646,268,549,274,708,241,117,728,702,334,948,039,802,067,458,
430,609,666,154,142,354,554,013,679,331,293,160,956,993,726,277,553,740,452,
027,762,101,493,893,112,466,333,086,580,859,049,205,003,948,234,667,056,953,
266,246,502,081,696,387,996,746,333,071,686,627,742,614,239,710,238,929,550,
398,432,213,473,739,947,496,054,457,472,320,646,231,339,175,229,225,080,848,
623,475,918,954,161,030,953,987,086,125,631,896,675,568,334,584,511,185,153,
483,919,210,337,733,495,806,866,087,592,025,713,030,843,772,376,532,622,222,
517,996,889,068,159,425,226,993,089,366,597,399,493,034,021,034,416,282,852,
528,581,106,432,131,169,083,889,074,875,507,759,056,072,095,712,994,818,922,
454,142,115,925,661,124,760,453,378,808,647,598,049,381,976,867,725,451,389,
381,503,033,913,838,028,960,706,153,690,546,122,923,711,241,655,383,590,077,
929,647,066,422,914,651,060,357,049,739,021,817,884,537,009,400,610,049,765,
627,317,919,984,279,037,897,189,000,970,157,431,931,582,993,684,299,229,900,
525,464,990,087,086,629,802,923,854,475,235,190,143,452,213,462,701,154,667,
035,046,714,600,983,050,639,064,231,425,980,262,982,790,471,327,340,440,812,
328,505,900,067,686,549,026,358,878,330,009,513,152,948,917,566,092,108,878,
739,234,979,132,345,658,796,837,289,668,638,764,592,541,527,306,989,858,850,
910,894,281,669,816,734,458,012,405,560,196,198,354,491,645,511,067,428,603,
290,808,160,973,693,028,795,276,585,228,089,063,350,080,195,736,911,331,528,
536,402,474,337,523,793,919,546,217,943,676,503,027,375,255,545,683,592,687,
904,284,454,271,361,550,240,402,729,267,136,814,202,054,898,660,699,577,928,
114,757,499,396,490,322,970,767,682,788,939,468,053,572,978,916,634,587,675,
547,056,835,599,427,449,920,534,664,591,610,869,791,360,570,868,292,929,871,
567,497,448,151,649,530,310,900,164,469,371,562,378,955,129,672,823,554,867,
561,959,914,624,552,930,660,020,163,450,458,224,724,798,458,701,147,198,020,
149,831,621,217,553,797,387,102,212,113,124,374,426,807,737,867,669,489,507,
847,207,488,538,928,221,272,436,859,503,551,361,897,373,276,920,332,797,742,
463,181,303,461,617,625,851,643,804,626,895,789,063,923,645,424,682,616,951,
808,481,430,946,724,832,574,778,731,423,416,835,228,624,700,837,870,353,884,
348,087,009,418,290,197,783,809,051,198,136,060,672,434,873,174,400,435,269,
961,470,810,638,121,173,772,854,565,899,905,068,310,705,144,436,875,366,883,
203,019,448,200,002,113,534,322,482,761,517,534,335,468,128,906,451,055,060,
814,988,304,901,804,374,991,203,980,378,405,498,456,309,032,312,203,077,626,
352,367,469,703,701,117,838,144,256,390,083,642,758,704,249,784,794,336,647,
558,822,508,324,168,891,690,756,113,956,153,813,727,488,958,986,853,438,731,
532,245,511,345,850,086,843,855,323,873,487,121,099,192,862,111,886,123,754,
016,291,264,262,666,850,840,895,618,773,017,785,380,592,134,862,669,296,246,
530,635,944,223,469,598,338,507,274,127,996,770,814,152,995,992,641,084,648,
609,288,499,741,277,050,265,846,286,791,615,791,074,300,243,824,752,645,881,
755,767,992,088,916,595,473,393,702,811,923,862,526,410,692,802,489,602,806,
162,331,464,499,816,413,567,486,808,335,206,694,267,502,236,207,673,471,662,
342,193,331,095,534,877,860,207,091,079,345,923,437,488,032,001,060,367,146,
889,469,076,771,941,147,899,886,074,057,504,970,268,948,809,556,770,723,305,
441,430,962,768,432,758,410,823,742,568,992,624,262,538,059,696,926,789,456,
627,700,450,049,530,739,952,709,144,185,119,673,908,608,683,957,951,974,171,
898,504,474,523,245,065,389,603,525,900,111,102,541,933,713,241,779,916,528,
415,693,474,376,983,989,477,000,956,343,835,717,621,861,508,951,932,308,256,
628,880,014,280,497,794,169,632,892,272,312,024,119,769,658,155,295,911,600,
296,962,784,695,706,462,716,962,734,791,478,969,287,231,957,869,342,256,595,
440,275,921,629,694,307,194,113,573,914,375,175,998,813,275,450,502,269,896,
510,186,374,200,329,461,619,274,299,004,955,695,681,241,553,205,531,127,207,
213,165,465,453,910,697,375,792,753,937,385,416,589,163,521,307,086,647,350,
575,609,028,032,475,151,358,970,637,065,820,311,971,392,560,149,587,998,166,
163,685,829,633,475,702,639,316,003,917,563,211,787,520,941,111,296,228,901,
468,060,702,701,188,660,398,163,099,272,593,554,444,965,518,739,623,562,247,
152,678,957,010,300,785,446,367,620,989,678,549,338,026,609,414,779,806,905,
716,688,413,414,220,055,750,306,706,503,657,733,470,796,730,297,329,594,392,
042,460,797,998,467,516,012,070,755,516,149,680,526,087,556,525,534,192,143,
132,549,482,274,937,848,886,864,877,619,924,841,952,251,823,990,856,487,059,
090,602,003,192,624,608,309,170,810,036,372,841,913,765,737,740,800,484,690,
626,711,200,083,867,701,331,817,777,077,676,033,215,157,725,735,945,524,457,
403,759,724,755,356,708,011,510,040,544,915,657,293,876,273,260,792,501,227,
749,400,521,682,586,850,888,520,433,632,282,561,729,217,947,361,108,479,485,
229,474,727,971,755,108,928,739,815,342,935,827,750,986,205,761,438,484,572,
045,915,080,364,106,957,384,040,000,341,004,108,633,396,316,009,184,465,348,
502,371,627,065,497,873,136,056,915,874,806,840,359,123,241,411,858,005,855,
679,603,822,725,346,374,950,937,894,659,068,775,594,971,458,392,166,136,099,
457,063,424,190,620,956,230,636,149,347,970,266,119,491,455,965,943,590,488,
879,161,816,975,747,359,148,555,576,540,980,108,706,382,960,703,984,702,809,
302,362,870,827,024,860,140,699,153,553,592,363,472,386,303,974,053,240,985,
607,511,030,545,610,388,732,970,434,731,533,770,701,766,673,498,577,934,613,
159,857,611,670,695,828,823,844,414,849,467,563,932,644,428,707,884,990,150,
693,029,026,354,611,498,132,405,655,380,872,391,707,259,614,007,594,876,484,
198,129,987,972,336,220,732,035,101,156,682,259,725,709,783,040,903,251,963,
867,365,479,588,813,128,255,262,797,859,776,764,159,847,083,731,178,995,298,
088,958,148,443,454,261,407,521,946,426,045,182,482,407,075,279,175,476,200,
346,961,386,531,088,959,443,324,561,637,709,770,179,820,210,980,337,047,472,
999,848,612,661,328,779,680,907,501,391,847,456,837,231,564,668,772,095,303,
541,344,212,654,842,227,367,073,358,359,899,160,313,680,717,762,033,006,430,
878,708,774,271,559,909,789,913,970,417,161,119,930,695,121,568,233,186,837,
103,711,356,267,849,240,076,156,548,049,180,311,524,009,513,333,950,582,061,
621,039,170,955,226,513,260,826,771,239,349,947,031,657,648,581,517,060,055,
715,932,989,191,636,674,862,458,215,030,674,519,176,463,721,164,610,650,999,
145,750,705,722,255,599,477,904,372,232,917,645,003,449,455,918,676,586,907,
882,348,624,384,390,481,573,976,860,877,564,151,092,565,210,656,088,292,396,
730,144,016,586,169,759,721,471,460,454,850,668,661,499,338,208,328,070,265,
610,141,884,424,760,261,263,010,241,447,247,248,277,169,282,606,378,584,314,
054,953,087,145,019,942,386,167,279,813,146,226,007,201,499,106,828,553,299,
142,584,764,372,763,882,036,782,972,702,564,928,472,910,156,244,434,943,966,
142,146,929,368,100,681,367,747,136,364,888,088,616,021,588,505,891,446,951,
294,620,498,384,552,913,476,702,204,424,114,142,407,469,446,562,152,372,962,
981,169,905,272,312,500,945,161,393,380,673,139,087,281,470,438,957,971,385,
121,556,161,113,662,735,102,869,459,419,766,316,887,372,438,532,272,836,544,
128,985,983,435,076,763,597,250,656,149,286,513,822,989,537,988,914,881,177,
424,969,124,707,731,187,514,193,970,198,456,965,868,852,938,841,869,539,729,
173,165,300,392,007,188,810,557,934,618,026,610,160,639,960,668,524,678,965,
670,024,240,652,617,863,843,560,262,268,566,216,098,978,489,318,852,997,290,
457,329,852,593,848,014,179,377,703,931,711,730,519,684,563,150,505,068,314,
982,667,509,495,965,718,250,500,122,917,671,575,915,536,889,499,054,595,705,
153,203,902,376,216,042,556,660,455,266,922,399,552,259,551,427,853,521,655,
522,086,661,049,946,185,095,888,671,890,351,591,505,511,037,573,767,984,948,
648,711,876,992,162,195,446,220,352,414,959,408,214,601,714,902,998,147,741,
602,327,337,204,960,101,979,571,865,977,898,972,837,346,806,188,792,292,840,
489,242,176,483,794,547,171,935,250,551,283,321,264,627,224,131,631,628,519,
009,836,279,751,460,060,898,157,741,272,424,126,856,157,978,560,108,835,322,
558,470,059,761,304,628,490,552,199,938,672,871,577,686,011,778,677,359,992,
623,696,396,050,876,038,511,149,547,965,169,470,914,797,702,360,532,717,441,
479,681,921,198,683,789,925,993,634,809,625,007,940,582,985,971,167,336,856,
711,663,334,689,412,543,150,371,595,196,722,126,971,086,583,693,121,581,773,
058,818,882,222,224,463,525,256,705,173,954,231,384,581,804,509,247,003,101,
297,025,407,492,374,007,562,688,354,383,783,381,251,854,009,075,980,675,577,
789,349,344,563,305,631,654,316,263,902,540,304,418,717,994,383,584,937,617,
567,102,334,752,599,125,273,771,569,473,637,030,500,658,664,010,371,788,499,
081,579,317,557,127,253,178,907,450,077,513,656,561,773,055,078,870,689,926,
070,599,416,880,434,414,981,226,550,473,904,464,574,816,852,346,774,033,557,
463,414,126,489,245,933,684,351,370,527,325,981,361,369,644,948,022,853,436,
282,620,059,667,886,727,775,440,537,135,182,818,208,599,808,031,464,223,131,
216,221,156,022,063,945,938,007,284,248,203,173,170,624,534,966,704,700,461,
108,617,497,129,777,560,945,302,665,653,780,287,427,535,662,782,772,652,027,
896,208,409,781,081,748,676,608,030,721,122,124,208,783,169,553,545,879,606,
386,758,880,312,178,638,258,731,242,242,641,575,298,306,407,210,924,126,354,
519,221,455,442,170,427,473,457,115,181,171,377,239,462,150,936,810,065,730,
687,644,157,315,086,214,527,438,831,083,426,895,093,134,450,754,317,182,536,
163,162,851,121,030,403,140,932,290,310,942,362,282,851,250,838,286,399,571,
350,127,518,703,568,798,518,351,805,013,156,065,527,889,706,706,687,612,965,
650,670,211,295,470,305,769,870,945,843,161,684,440,928,918,123,751,563,006,
645,976,596,001,031,773,846,950,514,878,673,274,343,690,860,022,467,298,996,
446,179,251,072,102,867,908,599,959,762,626,129,656,994,282,686,610,912,734,
594,574,856,502,209,835,415,151,442,192,723,690,427,097,442,934,377,086,540,
578,885,237,687,196,343,493,370,245,575,607,469,059,605,238,810,003,060,349,
896,519,104,660,421,736,049,628,123,150,743,524,531,435,020,852,736,889,325,
824,895,088,770,328,667,608,895,406,394,970,683,753,805,064,885,818,435,914,
081,156,378,573,136,330,365,876,678,860,099,922,490,311,976,944,775,677,337,
857,333,860,842,864,034,363,944,030,577,769,947,534,452,386,100,812,528,522,
692,904,462,572,165,451,186,814,629,254,046,408,749,923,134,059,776,508,082,
534,161,597,578,168,187,435,438,867,784,542,322,080,180,812,818,972,197,315,
266,571,267,961,568,737,128,621,607,719,775,528,804,872,267,404,401,989,499,
349,459,476,676,177,017,253,692,970,589,769,861,350,235,689,978,131,360,484,
194,801,212,164,218,671,868,939,578,152,993,305,421,406,006,922,813,620,592,
215,573,378,613,249,636,662,574,314,101,933,058,381,967,387,535,771,586,744,
109,793,453,156,834,942,260,151,479,881,212,575,477,915,844,912,255,889,822,
677,318,487,323,849,880,602,637,390,451,030,381,283,563,070,385,958,194,636,
242,048,162,821,614,714,284,596,704,613,121,321,519,610,689,570,788,717,335,
212,114,744,509,763,101,970,949,016,794,741,606,813,548,169,907,444,824,920,
426,682,197,582,008,952,198,093,924,009,528,385,288,365,084,784,104,062,587,
331,284,247,230,868,045,385,780,647,469,943,310,635,325,793,334,398,696,895,
691,901,048,701,005,079,578,571,645,793,408,949,257,188,847,996,209,178,062,
088,544,001,036,105,006,944,831,673,567,218,339,112,130,545,989,432,496,977,
843,762,306,374,609,602,977,176,963,304,633,175,367,063,052,641,355,994,502,
580,322,509,357,809,270,080,002,116,389,063,019,582,923,216,003,571,702,911,
970,817,239,063,203,220,356,542,589,934,940,602,363,001,082,209,975,212,457,
897,135,247,216,310,341,881,305,003,832,676,588,346,249,827,134,148,046,933,
068,253,308,173,924,506,793,572,996,280,842,059,688,271,001,176,581,468,901,
207,822,779,627,746,248,868,661,202,993,227,706,459,180,690,562,713,814,618,
439,028,296,167,226,043,448,110,806,497,973,037,463,441,631,013,343,771,567,
008,083,620,701,507,005,275,733,080,645,052,510,520,549,553,306,292,459,768,
184,573,949,768,576,387,867,274,539,473,720,385,104,541,385,400,496,786,755,
102,703,330,925,668,664,688,791,002,968,690,906,881,310,166,748,482,221,083,
291,045,598,845,067,259,268,018,835,576,031,413,634,749,495,790,841,261,322,
363,239,135,047,389,047,393,937,857,851,569,197,100,408,031,535,711,114,303,
280,980,104,950,112,677,575,026,296,704,334,351,761,235,838,449,938,923,235,
345,342,081,033,635,473,537,721,039,369,264,476,915,112,679,634,118,462,862,
570,335,475,118,367,792,926,498,331,861,753,690,222,879,982,067,023,816,025,
692,734,640,988,075,662,441,904,394,283,422,704,965,524,564,262,273,904,223,
238,478,874,884,149,718,876,934,586,905,658,842,362,823,735,634,057,800,246,
748,879,317,036,147,581,862,244,243,377,761,608,629,394,770,534,502,778,050,
162,125,788,933,480,372,126,030,383,286,319,050,609,177,385,392,118,649,460,
546,116,925,849,362,505,309,049,227,897,532,875,325,263,360,460,992,889,162,
986,202,745,946,298,992,111,161,918,692,389,041,941,433,806,503,788,021,682,
020,757,048,180,208,728,861,647,152,773,096,657,354,439,580,299,925,674,308,
496,651,025,427,468,399,578,642,450,641,960,576,107,469,656,085,155,904,473,
495,649,620,794,828,634,926,735,890,682,676,021,848,428,422,187,680,261,135,
082,311,808,291,522,738,578,405,237,892,895,664,530,839,948,803,255,859,491,
959,938,996,816,388,723,609,762,491,004,779,954,302,795,423,015,415,905,140,
925,267,216,957,702,818,104,098,271,495,813,195,111,326,459,543,856,618,398,
195,553,688,984,043,755,361,790,160,801,661,736,888,825,682,693,170,527,181,
000,228,085,483,030,186,604,201,038,282,618,456,729,700,250,527,155,847,912,
696,419,577,236,329,427,244,731,833,614,557,754,036,665,338,467,975,300,582,
900,025,935,365,472,884,038,305,265,054,720,770,269,533,687,178,736,020,189,
745,871,518,620,474,871,006,752,012,045,766,747,208,497,259,609,199,101,965,
034,493,488,110,762,361,868,964,222,868,054,214,191,468,834,529,544,377,004,
916,424,549,389,065,321,414,525,223,166,800,401,559,834,465,736,069,782,241,
744,400,301,799,758,952,765,652,569,135,917,017,570,630,963,430,442,371,748,
855,259,874,781,054,875,060,056,875,475,401,660,111,199,912,687,681,341,986,
381,851,583,900,000,141,169,587,036,890,872,730,671,006,069,542,570,563,314,
832,818,360,080,885,417,536,167,924,804,081,216,254,213,712,008,690,931,246,
862,703,895,843,516,680,379,825,025,981,360,070,920,707,682,642,006,979,469,
628,549,506,260,995,437,311,559,006,295,184,211,981,752,861,529,414,190,981,
735,019,429,649,245,004,773,137,786,791,339,963,911,214,955,549,989,026,298,
022,854,589,591,598,027,956,315,989,318,899,858,753,908,235,612,053,161,442,
965,934,437,921,368,014,896,445,884,111,613,244,522,866,666,850,759,326,902,
922,312,886,717,324,413,565,510,230,136,757,876,191,125,636,496,541,286,882,
639,098,131,421,627,696,131,553,742,753,286,809,756,050,148,812,535,029,141,
385,900,236,420,789,936,942,386,607,734,737,123,314,250,915,494,667,769,158,
456,265,067,731,277,696,004,668,907,578,683,659,167,077,333,145,999,920,121,
855,466,305,627,092,656,324,186,254,967,884,758,953,853,903,402,204,113,839,
448,426,293,766,047,850,451,953,382,800,946,040,457,553,911,863,039,168,144,
470,646,592,850,250,967,589,788,375,203,530,188,789,853,995,912,336,546,471,
681,033,051,616,800,253,876,954,805,075,131,178,759,528,696,075,532,837,434,
377,851,973,100,687,090,134,605,334,065,119,305,608,653,480,348,595,683,861,
098,669,186,671,890,100,438,849,308,511,899,997,466,905,346,247,038,824,520,
177,904,418,776,064,590,898,883,363,533,484,123,305,974,030,749,922,303,159,
027,779,508,430,032,241,418,773,538,590,848,681,961,967,996,899,058,992,179,
325,796,668,609,460,113,706,466,115,652,870,799,719,523,510,075,179,136,495,
497,884,293,358,320,531,062,361,796,228,279,558,309,002,735,357,044,102,303,
499,362,599,358,394,136,104,993,737,528,178,214,070,340,916,959,659,763,526,
153,995,378,889,389,757,510,565,388,328,826,562,882,429,143,585,578,950,813,
135,708,426,522,483,479,113,174,137,699,651,625,989,069,089,286,722,838,594,
182,314,576,259,775,667,937,413,172,410,616,408,216,959,860,922,308,625,167,
496,832,564,324,648,623,851,639,015,604,284,106,466,344,420,439,401,895,544,
981,618,217,107,768,596,330,727,046,659,261,498,213,350,544,229,082,219,570,
776,297,681,691,915,345,714,160,912,352,176,175,422,024,099,581,508,840,829,
527,895,213,675,297,141,745,151,988,330,635,618,609,136,046,027,365,692,699,
688,115,338,770,598,755,685,888,448,335,681,983,690,168,575,706,932,650,228,
152,769,638,222,141,531,590,675,411,038,120,608,680,846,103,643,626,620,010,
610,821,380,414,134,468,094,349,663,021,006,251,227,968,837,256,149,718,043,
709,849,763,902,332,056,913,974,302,804,674,312,803,410,595,093,011,539,762,
372,861,889,203,602,644,392,687,581,289,411,804,930,456,040,959,536,201,215,
982,302,277,699,281,171,587,650,473,241,333,324,152,587,705,487,355,415,755,
507,616,901,176,015,624,773,840,438,743,420,161,182,868,417,628,316,353,676,
273,210,233,131,325,323,836,020,148,580,459,268,107,872,844,150,686,567,244,
436,913,707,538,083,954,175,193,130,471,037,483,872,259,907,603,321,898,251,
752,668,022,774,765,747,859,001,546,070,458,178,013,403,937,075,913,432,363,
913,039,172,550,601,493,959,934,672,316,270,934,610,474,274,100,067,789,274,
086,745,956,839,584,597,446,200,792,908,186,164,438,777,031,504,444,999,176,
463,951,363,403,807,437,525,853,126,272,611,216,011,264,270,008,645,575,605,
170,793,310,390,161,138,846,425,654,062,787,575,922,448,885,051,431,499,241,
521,326,622,967,001,675,308,999,389,519,605,271,910,270,894,966,064,083,212,
184,992,610,502,871,807,806,243,930,514,717,664,599,161,938,188,747,829,316,
874,131,041,150,271,813,407,633,815,079,988,354,747,733,299,524,099,177,332,
438,687,044,813,716,311,746,020,937,922,042,629,526,855,850,446,369,283,305,
892,134,213,832,128,982,853,418,464,206,101,090,252,222,043,970,269,181,413,
762,589,761,309,828,088,085,138,842,190,713,776,227,365,675,935,614,683,399,
924,243,227,224,094,030,449,584,919,310,613,102,713,832,064,029,268,955,832,
022,413,522,668,300,200,910,504,304,363,590,589,179,260,024,202,758,122,575,
451,763,937,723,489,703,696,018,791,687,349,692,936,987,092,558,217,264,132,
579,615,979,185,931,368,437,913,126,277,702,515,340,299,620,739,818,368,184,
696,470,227,574,024,998,669,742,773,846,976,483,526,838,219,286,431,985,821,
955,485,427,931,590,948,287,775,921,122,768,360,198,003,059,520,237,193,850,
591,067,533,694,351,342,910,284,952,465,540,382,690,889,883,488,888,707,277,
084,408,558,818,840,969,962,923,127,750,650,357,154,635,495,004,442,138,818,
153,064,832,955,938,715,342,086,084,203,977,575,569,140,373,178,547,724,421,
792,900,373,026,471,722,962,050,969,454,290,012,050,443,897,264,403,209,220,
244,611,104,703,395,200,503,788,971,010,991,241,358,638,034,456,748,268,707,
782,425,840,239,106,443,899,518,908,702,020,969,900,835,026,075,510,149,462,
164,725,510,176,755,972,039,273,151,900,709,901,892,137,511,799,082,893,298,
108,022,739,734,222,228,605,029,372,606,177,030,273,118,482,054,756,050,482,
069,390,157,555,182,563,199,481,569,693,711,183,321,883,473,837,926,247,445,
050,616,345,134,859,282,957,642,606,070,455,686,804,973,190,074,502,336,690,
995,168,864,199,944,390,971,979,979,526,806,879,534,816,683,522,568,533,946,
592,838,588,744,302,892,315,840,285,793,610,881,873,888,577,636,206,956,691,
730,714,410,821,216,475,983,651,068,059,599,381,356,757,996,916,115,927,812,
674,990,695,165,014,854,612,623,272,404,480,573,158,848,073,734,397,189,923,
986,413,011,887,923,853,686,671,043,477,441,714,009,100,475,759,003,483,483,
872,518,661,102,574,246,341,226,650,321,850,816,412,723,012,909,108,543,167,
024,589,212,274,378,624,274,280,747,691,773,524,826,811,123,507,248,519,763,
624,085,652,318,594,684,271,788,943,393,213,359,315,150,690,402,690,462,898,
920,873,664,801,166,614,739,966,187,830,427,779,468,758,718,273,145,364,387,
483,358,748,660,197,332,752,048,521,326,787,882,133,880,856,259,096,024,832,
593,205,436,311,213,593,181,489,917,394,467,045,661,209,041,461,832,823,638,
228,149,976,781,579,125,453,420,345,746,667,941,326,240,061,908,616,118,802,
944,029,500,200,266,423,355,949,453,771,417,775,928,980,646,994,473,627,837,
905,897,854,508,291,498,937,819,505,310,217,523,320,814,485,278,185,126,488,
517,196,185,935,152,031,850,049,371,084,472,902,081,470,445,692,498,351,477,
794,237,301,182,601,050,008,613,214,269,531,993,016,448,830,703,046,975,657,
443,780,444,447,135,068,316,227,000,897,067,034,756,471,855,566,108,216,339,
277,768,198,703,226,865,996,929,157,467,194,416,971,430,726,470,087,537,000,
128,967,404,956,876,122,298,531,061,039,448,346,543,137,110,613,110,998,820,
587,684,506,049,541,802,601,860,749,899,861,445,625,077,604,212,475,275,106,
333,588,773,204,100,500,605,311,573,629,262,244,376,676,673,309,377,515,203,
907,449,246,663,399,019,338,730,097,661,517,466,947,409,763,875,654,147,339,
638,335,602,859,509,053,724,848,688,706,233,540,012,231,600,999,393,788,597,
100,974,232,336,664,015,119,567,035,922,576,885,988,860,263,659,110,572,171,
157,377,936,585,800,494,861,255,934,159,104,114,489,248,269,193,225,219,565,
803,811,364,747,873,110,443,753,784,617,968,369,615,080,939,292,682,893,192,
069,915,800,779,724,661,237,439,023,592,042,218,322,282,825,960,735,419,309,
235,420,197,762,356,342,171,046,696,908,894,948,859,474,479,531,774,145,188,
389,694,470,616,824,325,252,297,496,688,252,631,732,141,274,196,630,043,715,
510,838,926,819,425,647,921,805,913,141,668,466,225,211,381,382,779,835,638,
459,888,369,840,052,082,397,238,574,672,862,387,741,185,027,028,680,100,338,
624,252,883,569,224,338,344,018,074,103,479,989,635,387,590,399,501,770,451,
840,949,818,554,369,996,737,594,719,946,264,274,661,304,378,366,610,895,348,
732,946,802,878,513,766,513,436,328,581,978,742,101,022,743,478,223,234,634,
190,398,687,625,754,794,205,584,302,773,591,664,965,485,391,301,457,330,166,
783,561,368,031,992,779,855,336,064,798,515,294,871,919,013,721,381,247,874,
460,882,684,404,166,656,037,449,245,936,482,270,566,307,320,028,366,445,980,
076,589,564,245,238,434,023,358,262,086,016,638,373,589,918,129,550,241,687,
679,662,024,727,245,843,052,362,096,164,589,971,964,116,276,635,285,347,467,
999,729,787,688,673,308,080,040,261,994,328,568,485,711,043,646,251,579,186,
874,240,764,654,367,273,838,870,787,238,882,570,688,197,585,457,291,662,725,
492,254,961,504,273,855,210,005,067,457,097,625,197,246,029,008,805,420,374,
491,974,899,868,763,079,754,048,722,949,864,312,827,165,492,365,474,412,498,
348,101,153,317,925,363,502,933,692,434,064,051,574,472,598,956,233,717,190,
740,156,409,554,476,815,977,082,106,890,484,374,617,312,980,271,206,241,050,
531,172,726,127,250,816,756,819,053,603,166,068,941,936,845,079,473,641,504,
370,802,369,690,095,331,079,976,440,424,243,567,797,112,285,376,609,267,920,
149,352,889,830,179,546,909,992,606,170,922,493,005,107,966,744,800,337,768,
391,045,267,141,706,265,493,820,096,329,203,804,216,138,024,743,899,118,586,
772,921,878,700,861,284,207,612,424,523,227,744,280,916,116,273,788,780,627,
278,111,940,995,562,954,839,988,102,830,827,437,367,191,417,203,054,040,843,
773,537,342,816,975,343,214,260,761,250,971,064,297,324,380,919,708,425,147,
285,823,668,547,719,953,632,052,569,062,361,627,853,818,103,681,297,459,288,
424,029,480,013,514,204,921,774,350,820,764,496,661,847,188,766,455,933,833,
203,713,292,049,226,538,233,167,790,550,777,557,332,852,958,237,768,290,765,
655,697,196,028,075,003,699,493,691,599,535,311,270,094,855,604,808,259,756,
303,400,637,632,013,943,749,238,146,881,170,212,511,150,050,567,767,414,902,
903,036,643,305,041,081,193,118,340,354,990,948,306,765,088,908,981,320,172,
255,235,614,978,506,263,026,447,255,781,524,606,322,421,645,127,751,129,615,
965,460,990,012,748,668,862,254,780,099,958,548,694,696,264,423,740,551,494,
012,736,416,115,608,152,903,618,108,852,252,042,023,593,182,443,036,960,803,
636,668,801,180,737,043,667,159,213,786,790,186,703,046,561,270,624,523,198,
615,869,645,770,211,569,382,405,031,523,715,964,026,119,221,873,621,424,986,
690,482,404,662,534,675,357,484,711,567,968,120,307,034,227,916,262,424,949,
055,248,686,100,818,376,926,077,107,468,421,232,154,597,184,106,341,274,728,
506,540,902,449,191,392,699,243,559,562,641,649,252,917,753,006,518,368,324,
721,095,165,532,770,605,543,909,720,955,464,634,441,921,182,641,498,740,205,
833,825,410,788,311,170,412,629,110,956,694,259,585,191,087,816,405,812,627,
202,419,972,697,442,106,517,953,491,457,502,152,704,481,011,940,539,584,392,
068,570,263,920,754,767,846,401,848,678,185,938,892,696,286,214,343,101,998,
797,732,232,537,020,352,743,049,835,812,384,485,505,770,465,279,669,227,500,
441,488,926,788,187,207,377,843,476,290,272,238,188,170,033,951,365,056,573,
146,886,754,219,510,435,853,952,630,605,422,090,887,486,380,331,433,440,584,
248,117,215,754,917,181,740,409,207,185,688,506,583,097,410,958,471,557,057,
502,894,936,231,247,228,924,847,725,249,153,064,262,237,062,920,553,858,035,
761,099,428,854,861,049,936,624,468,847,189,018,402,055,444,772,854,564,740,
189,895,660,828,413,092,702,151,015,861,432,380,366,123,669,250,190,018,701,
262,757,230,281,191,041,966,359,682,913,887,444,566,280,320,905,628,372,262,
379,954,447,286,572,589,922,409,120,355,095,680,981,901,577,584,710,653,137,
276,358,493,491,493,493,866,054,351,507,210,137,144,686,616,367,384,350,046,
377,288,176,842,928,211,305,108,916,579,523,774,848,241,437,743,139,587,656,
380,176,908,705,033,657,672,188,062,927,591,925,971,822,780,981,089,849,571,
288,370,155,494,843,265,727,511,847,766,469,944,638,019,959,545,188,131,921,
095,093,380,183,439,695,979,015,384,859,393,368,669,714,900,017,630,270,369,
926,147,004,608,179,131,207,014,232,479,475,365,350,730,948,226,100,327,222,
860,117,014,244,799,334,519,753,165,820,768,767,280,136,484,052,661,393,990,
935,394,394,052,336,436,648,897,032,065,065,149,003,494,040,680,068,173,863,
942,847,684,302,222,464,198,756,734,061,017,363,362,744,072,559,351,656,539,
145,751,477,544,524,632,364,962,564,938,260,011,005,951,137,306,945,424,898,
761,919,571,977,659,996,867,111,568,572,212,516,301,462,031,601,046,707,531,
842,806,906,771,683,941,141,856,429,075,575,765,071,980,413,224,596,410,438,
755,122,482,833,948,394,398,185,440,441,615,970,394,190,877,890,655,413,782,
947,798,924,040,100,882,991,960,196,199,077,485,938,845,759,315,393,628,028,
393,984,058,659,658,388,924,497,512,794,553,722,869,051,234,546,486,362,570,
771,774,893,660,967,584,938,875,762,787,134,940,451,215,295,179,368,673,897,
063,977,154,476,440,784,918,660,199,184,596,985,837,390,746,378,002,211,622,
326,026,658,890,467,833,164,011,270,887,331,888,817,139,197,272,549,025,393,
802,727,635,290,162,856,518,117,485,714,319,040,265,067,671,055,791,385,401,
019,483,255,093,034,968,480,556,550,197,453,261,806,391,706,919,363,741,020,
725,579,118,579,321,239,778,290,905,954,215,405,569,892,738,557,657,736,234,
199,370,459,529,540,337,584,784,158,090,907,954,921,486,631,134,445,327,526,
588,695,352,682,499,950,490,887,457,126,448,331,778,502,774,100,878,569,299,
963,613,892,875,851,694,502,786,452,247,490,475,944,562,489,074,653,790,613,
340,211,214,851,266,386,661,471,594,617,021,711,832,523,832,397,019,075,217,
473,388,305,080,878,765,998,684,015,252,100,048,131,661,870,656,894,763,885,
572,116,887,546,131,059,150,320,694,201,958,591,468,781,131,484,531,343,294,
747,068,435,966,237,716,648,893,439,449,966,494,363,268,579,712,893,543,306,
283,913,303,092,520,183,220,180,197,068,190,862,447,368,144,219,190,144,540,
879,885,539,719,371,226,332,424,627,308,137,540,163,333,298,231,354,975,693,
827,208,112,288,037,492,594,441,564,922,400,061,501,900,469,933,792,874,578,
533,405,670,385,862,927,059,091,593,333,758,548,426,848,755,938,738,323,773,
857,418,944,684,762,355,456,010,975,753,193,164,249,767,045,169,746,006,064,
878,094,747,059,749,163,963,296,035,181,881,178,577,774,844,672,856,554,118,
060,465,745,362,806,016,255,359,751,303,524,699,483,416,936,076,299,565,679,
731,784,761,862,617,020,885,972,955,655,433,509,270,304,486,832,984,594,298,
356,920,952,432,050,086,691,543,051,201,851,134,881,545,995,993,582,149,341,
816,385,747,495,919,762,010,680,281,000,451,024,790,800,268,213,825,840,996,
262,083,089,698,741,991,650,157,726,011,424,116,603,286,293,359,082,564,321,
730,346,186,562,347,068,703,927,537,503,721,230,556,612,631,887,248,163,233,
203,856,248,773,982,739,896,831,076,728,420,640,239,812,334,907,834,041,272,
060,673,811,498,471,669,694,396,698,843,774,529,689,223,702,325,196,029,706,
859,883,842,012,529,513,290,782,744,325,088,756,897,150,202,924,504,013,629,
409,512,371,628,319,624,522,501,239,802,455,020,781,868,602,492,785,068,825,
426,885,870,063,581,411,370,614,779,477,461,842,571,113,832,365,992,229,647,
805,582,813,559,247,334,697,513,339,837,302,436,455,917,414,777,221,378,079,
678,496,153,141,179,313,208,826,027,750,107,333,029,946,697,648,055,635,432,
820,310,781,925,552,067,542,068,318,695,531,750,949,397,096,051,352,397,779,
824,384,579,168,982,753,776,191,057,492,388,280,050,640,653,538,310,223,106,
790,373,071,597,628,646,147,733,033,247,276,337,801,040,213,972,958,414,885,
890,832,480,297,331,221,481,946,908,637,818,119,721,217,667,023,956,876,065,
947,720,349,365,701,071,350,605,967,986,526,814,858,794,531,918,748,855,656,
496,950,443,704,646,121,049,382,077,825,041,321,595,719,419,232,625,867,806,
430,191,285,866,173,371,558,620,122,725,894,565,022,529,417,666,936,938,753,
822,908,378,277,812,568,131,218,671,764,611,533,796,737,222,930,149,318,960,
109,239,852,071,560,282,022,409,407,557,783,992,061,865,618,673,357,154,466,
256,810,403,043,341,263,570,339,026,634,189,939,290,278,929,089,207,716,075,
359,051,390,592,146,873,319,351,910,672,569,232,372,842,349,030,302,621,825,
935,769,773,422,656,101,242,654,463,090,061,970,122,490,735,030,387,719,442,
672,876,715,082,717,847,833,698,299,185,080,554,825,352,782,202,205,470,402,
790,354,599,627,043,631,378,303,927,129,888,795,165,754,689,246,652,091,628,
928,187,317,005,432,011,442,780,703,909,824,026,485,191,330,948,195,254,309,
046,649,434,461,547,382,430,119,058,437,697,056,386,846,542,975,058,354,923,
489,870,573,780,789,816,789,547,513,988,849,039,132,308,953,465,602,447,118,
801,473,652,439,926,781,710,933,136,870,415,611,716,720,644,038,813,028,388,
207,937,325,511,693,199,804,597,342,350,501,160,243,864,039,015,442,324,108,
364,708,765,954,978,526,753,235,480,629,604,506,926,907,411,859,838,782,347,
908,845,240,713,448,688,067,815,144,155,507,985,068,250,290,300,596,088,613,
828,722,738,107,628,675,332,160,575,981,504,573,712,767,533,926,375,453,863,
917,958,541,558,727,403,824,628,618,593,626,326,281,403,774,257,274,359,445,
391,641,636,130,191,795,438,378,089,871,707,518,204,267,516,504,285,733,000,
287,753,832,159,962,727,346,057,748,749,841,927,412,753,967,604,956,698,650,
833,850,774,573,287,277,372,796,051,358,009,485,064,997,712,353,329,847,578,
991,821,177,308,549,959,937,640,548,615,256,085,887,401,084,459,372,032,132,
242,558,945,006,319,578,709,619,379,661,681,867,087,418,690,979,861,125,725,
739,044,883,215,446,895,139,134,507,363,960,107,638,001,165,044,734,921,739,
929,880,976,527,818,568,004,156,185,822,509,237,023,528,093,920,238,306,639,
246,937,101,964,933,591,595,563,982,788,201,318,560,980,040,685,091,748,310,
452,248,253,447,396,215,823,543,433,012,269,239,386,303,957,223,887,673,919,
764,555,027,530,036,907,017,692,959,445,285,760,682,179,149,377,583,938,141,
362,192,703,830,126,099,821,172,074,537,233,459,323,937,817,583,431,808,408,
762,412,126,981,411,630,072,549,193,509,496,358,609,365,235,284,871,171,090,
323,432,310,094,343,950,664,744,172,093,038,127,488,615,432,977,563,319,653,
766,461,589,979,581,405,120,020,907,861,832,773,174,753,844,309,022,117,788,
656,033,869,695,004,012,502,656,702,761,804,672,195,999,765,555,587,533,327,
767,242,595,388,289,357,426,451,417,878,963,206,239,073,509,493,005,850,616,
263,117,948,505,806,389,651,406,997,290,643,628,624,313,718,304,829,575,160,
675,466,956,854,491,641,790,455,732,291,611,583,996,531,666,680,278,572,001,
392,584,833,361,548,120,479,930,152,268,243,905,688,990,829,877,846,241,114,
847,561,699,387,777,931,373,394,067,287,601,098,479,687,373,095,364,129,016,
238,478,991,957,644,207,389,301,284,916,276,494,802,180,038,766,442,620,096,
465,010,034,872,877,392,275,715,746,897,886,990,282,930,720,484,945,891,167,
801,327,680,079,786,560,083,559,293,527,330,145,713,803,909,430,144,021,053,
098,457,818,385,966,816,628,927,230,519,199,449,532,933,512,471,813,278,620,
709,004,308,289,071,327,190,999,612,685,919,070,694,945,115,530,140,920,858,
500,454,487,900,160,845,113,184,245,584,434,037,307,777,097,607,581,359,156,
402,303,402,191,541,528,050,385,846,234,836,626,001,700,442,438,350,216,603,
194,685,297,697,285,505,092,914,231,994,020,888,275,143,228,666,683,729,208,
205,393,897,129,642,779,998,854,645,753,644,237,971,709,360,273,345,098,926,
075,812,844,423,979,243,042,568,412,546,915,958,249,013,526,097,856,991,090,
487,734,960,273,514,459,746,522,789,223,331,823,670,417,745,068,728,052,829,
668,361,565,150,117,158,462,008,304,699,565,596,523,032,267,961,059,098,463,
653,570,926,931,552,856,915,545,514,644,136,463,943,821,512,265,036,098,078,
609,575,732,634,797,494,903,723,925,263,707,146,832,124,597,970,073,568,762,
402,907,132,455,037,810,568,871,993,631,555,504,350,801,028,796,943,460,520,
165,921,277,642,189,723,387,825,402,872,668,745,389,275,482,269,150,120,463,
851,769,695,204,873,017,774,734,684,711,205,043,169,171,512,003,292,540,449,
019,283,039,434,486,028,633,674,406,924,055,861,059,096,797,130,747,026,644,
004,343,931,311,753,568,586,600,249,861,309,196,114,242,549,847,503,383,081,
949,266,801,499,555,795,184,777,728,153,024,397,696,455,005,367,040,365,075,
877,316,329,442,901,245,019,539,417,623,391,759,004,197,825,402,289,351,283,
678,138,340,899,640,115,018,157,458,996,401,732,668,689,175,115,200,537,643,
159,015,646,674,943,264,148,776,295,954,746,103,492,254,244,697,108,563,511,
015,744,923,736,301,313,018,029,578,526,182,946,546,770,322,534,566,440,539,
362,332,814,811,563,829,399,730,839,634,083,005,118,822,284,373,062,410,305,
790,647,017,703,062,013,551,730,268,705,335,524,832,957,147,554,960,234,197,
989,189,942,844,107,487,546,235,158,317,380,588,734,412,567,922,179,427,097,
004,252,556,217,609,014,609,569,253,809,950,939,074,122,322,426,926,466,287,
440,085,131,482,523,787,375,835,833,882,192,947,271,685,546,640,916,467,118,
138,336,133,818,690,310,892,582,576,352,065,753,465,320,479,199,547,328,567,
509,625,089,773,955,640,867,867,575,784,984,082,946,247,211,558,214,822,108,
828,924,238,808,713,250,092,096,288,809,253,163,781,325,461,856,712,105,759,
013,074,296,210,899,842,730,696,781,701,974,071,673,819,113,075,594,724,842,
639,027,557,514,904,252,023,646,312,695,573,650,219,145,266,650,835,668,263,
363,563,140,089,488,397,114,014,999,217,461,885,301,392,381,746,866,014,961,
350,787,136,712,382,603,423,145,589,975,989,550,766,986,394,045,062,012,493,
810,685,297,191,526,653,305,499,903,613,723,307,150,388,134,358,864,437,251,
483,456,366,357,025,106,084,797,309,672,278,707,699,176,300,181,092,971,954,
341,082,737,066,482,689,630,976,667,654,794,038,469,747,531,503,498,408,369,
993,907,419,049,617,154,886,021,807,246,656,786,225,848,256,783,319,698,106,
255,812,681,311,312,881,800,783,654,481,365,211,223,472,782,930,312,764,983,
697,747,894,173,721,865,658,477,369,402,584,000,010,494,428,348,524,268,683,
415,496,594,136,580,846,475,962,225,313,039,380,796,058,119,586,557,708,106,
395,919,579,062,571,897,610,906,429,906,836,405,509,558,383,066,849,149,313,
188,322,575,277,938,738,864,756,311,656,341,541,048,550,830,947,776,335,112,
123,614,418,142,583,335,672,659,236,483,126,615,322,186,161,892,866,013,385,
903,602,142,877,373,772,428,182,207,200,690,528,544,474,669,131,895,937,791,
723,860,362,413,536,135,909,336,741,603,447,874,580,865,703,595,058,865,847,
628,825,084,323,774,046,807,690,517,815,905,113,244,330,186,844,974,554,422,
236,038,616,915,462,453,309,438,050,565,917,223,219,290,231,434,016,638,715,
035,900,531,156,559,945,088,364,924,074,418,227,650,246,269,448,213,528,663,
632,680,549,068,475,486,484,357,209,670,810,226,464,031,469,422,890,852,087,
141,426,091,614,070,738,255,782,006,569,948,131,326,125,235,761,686,221,141,
432,857,918,397,859,112,907,858,329,649,077,495,192,058,201,890,959,773,095,
647,765,693,120,320,376,142,955,638,498,570,395,324,355,628,589,150,517,140,
161,334,514,444,095,256,501,861,460,276,941,175,352,064,965,081,414,145,307,
413,882,091,835,924,801,033,400,450,609,242,170,101,503,664,403,768,973,845,
907,540,978,916,743,175,203,631,626,720,518,701,885,324,508,925,854,085,325,
531,412,400,847,679,909,471,109,176,577,715,844,227,966,032,241,221,178,425,
852,030,363,118,878,092,793,355,994,884,086,261,806,580,583,754,437,420,319,
157,936,420,430,162,230,179,939,547,461,758,668,120,889,935,441,762,450,158,
872,634,317,494,235,440,600,625,524,397,533,002,664,951,291,926,114,024,753,
552,104,563,366,253,378,872,722,235,910,011,480,387,435,359,769,697,176,540,
912,026,988,110,825,123,517,180,115,385,795,651,601,680,232,581,610,752,383,
110,758,588,837,129,251,371,585,972,987,274,362,264,599,753,815,479,686,804,
232,222,927,086,607,349,281,054,152,576,183,129,698,675,426,179,475,670,955,
353,905,287,479,179,882,273,813,537,551,305,805,114,075,823,913,592,545,386,
284,894,452,207,569,364,095,073,847,638,832,262,434,203,206,547,035,579,698,
794,350,588,443,874,899,125,306,237,433,122,942,404,517,731,870,067,572,213,
904,894,538,762,513,659,537,668,361,204,348,238,924,300,268,107,921,592,265,
775,296,881,788,294,240,005,025,847,497,412,035,324,713,433,679,799,696,594,
558,509,575,134,289,670,298,331,296,439,529,425,898,674,163,225,832,903,901,
563,835,601,313,526,301,805,717,501,152,352,124,757,250,096,481,150,161,004,
556,105,660,593,580,280,744,992,109,076,043,428,053,986,648,182,782,578,550,
474,654,870,247,284,709,286,566,070,403,278,605,691,218,312,645,493,614,539,
498,179,546,272,732,486,877,934,617,666,109,147,466,224,977,911,592,587,273,
632,098,357,066,993,748,002,549,173,635,922,136,182,537,153,978,891,118,502,
454,342,294,933,502,312,439,376,457,120,350,193,696,919,098,957,501,999,113,
559,517,852,530,467,523,268,104,868,438,388,054,629,648,773,863,840,539,285,
378,196,923,210,224,195,107,245,304,035,880,634,438,108,799,348,719,212,230,
270,103,080,666,359,601,787,169,663,742,852,567,422,768,971,352,835,400,448,
879,535,506,923,233,740,114,892,827,824,258,540,224,040,934,672,187,594,139,
052,133,903,303,696,785,791,220,985,462,621,134,684,667,004,218,808,454,303,
132,412,184,447,717,358,177,656,188,573,370,860,394,305,116,919,702,481,476,
581,521,841,998,558,598,446,232,844,683,692,819,402,286,806,901,354,000,484,
116,321,924,905,779,633,339,596,371,779,193,233,954,968,418,069,769,920,349,
183,614,164,452,201,212,159,795,936,856,590,450,520,605,372,807,889,423,084,
015,200,290,313,259,881,124,969,977,472,698,954,039,882,970,969,912,270,937,
682,195,181,140,961,345,659,733,363,284,534,438,999,311,554,068,783,989,928,
333,555,719,330,324,981,293,846,794,961,956,172,440,848,043,011,085,467,760,
577,873,636,950,660,753,738,267,970,573,533,520,462,262,880,264,304,864,827,
885,532,097,946,486,159,811,059,707,744,400,467,906,014,647,826,742,842,672,
089,129,847,982,153,203,525,150,069,862,800,613,252,835,209,623,435,097,688,
499,809,965,788,836,905,788,820,585,593,426,668,769,679,417,542,197,562,561,
314,019,011,832,509,824,826,528,781,536,109,976,871,115,844,628,648,974,440,
010,561,031,912,160,446,128,719,685,782,135,456,075,909,914,281,193,623,018,
387,410,421,576,598,194,701,080,999,923,454,196,004,086,857,545,328,442,567,
077,037,835,617,186,653,951,633,132,624,466,426,804,139,968,551,165,008,241,
521,852,952,872,673,986,004,400,169,456,102,996,055,050,331,672,177,664,547,
807,350,984,371,806,191,419,993,428,747,775,423,881,558,886,353,209,823,318,
546,372,828,296,146,870,966,399,028,877,794,099,665,659,770,329,906,523,817,
906,403,636,437,338,389,918,195,964,833,426,581,059,436,649,342,567,396,512,
806,674,920,637,444,420,135,841,116,541,662,872,086,190,766,935,775,346,234,
791,871,949,077,998,638,958,375,491,562,550,492,818,319,380,258,776,952,343,
830,187,088,825,988,799,189,785,022,379,890,426,643,431,505,903,906,431,995,
432,279,597,286,784,726,682,326,101,885,455,416,053,186,232,416,064,493,352,
687,406,178,469,498,139,861,244,009,341,558,860,735,550,124,715,534,805,917,
545,584,822,065,312,566,110,209,105,398,867,428,584,261,232,478,458,331,687,
442,892,592,402,356,461,671,944,899,647,439,069,881,331,928,934,877,415,020,
430,947,841,041,029,093,856,054,450,825,739,784,103,523,546,294,032,769,499,
535,133,867,982,781,931,415,935,147,755,193,532,494,582,707,579,446,763,188,
128,001,661,578,749,878,177,827,570,843,764,342,052,779,741,742,634,996,399,
872,779,560,286,422,858,514,891,152,757,696,565,586,261,035,693,308,612,443,
410,628,702,520,970,600,311,798,031,829,888,667,533,413,160,606,901,315,838,
829,330,131,719,699,001,369,127,869,185,703,962,387,202,162,648,222,318,376,
770,589,926,363,778,144,572,303,966,567,698,806,953,761,279,828,703,543,286,
528,527,387,375,003,602,523,358,083,422,361,687,632,972,333,825,850,112,323,
936,613,130,068,449,039,855,405,690,174,493,059,090,337,699,706,073,961,286,
752,265,843,090,657,590,397,173,715,307,933,465,318,455,126,496,895,278,013,
148,264,806,387,795,013,422,075,000,782,401,157,265,638,118,880,037,346,120,
309,039,502,588,861,621,451,782,671,293,721,412,590,106,757,692,863,539,160,
778,169,151,822,383,986,250,053,615,695,393,282,731,262,644,428,432,149,374,
738,247,129,090,511,628,809,458,728,810,192,506,922,337,392,305,158,206,901,
295,211,673,099,541,293,038,645,660,667,984,729,436,877,994,461,306,379,360,
549,722,506,603,969,902,395,209,442,689,580,578,448,170,904,552,777,834,386,
139,366,830,976,190,327,826,812,655,908,138,555,395,032,123,437,428,187,936,
174,934,216,844,264,422,289,215,361,722,798,402,841,599,720,242,124,292,336,
553,895,898,131,818,576,434,039,151,605,284,734,938,019,167,900,874,945,516,
176,434,539,078,281,157,589,732,865,880,927,479,332,401,411,329,581,441,488,
005,357,679,750,772,651,432,811,015,422,006,448,753,016,439,975,695,423,588,
665,294,464,429,776,498,106,056,405,991,607,478,807,637,475,127,060,019,435,
468,253,295,597,839,987,644,111,932,593,349,939,331,193,009,477,741,528,907,
821,765,030,859,646,845,313,615,444,300,296,386,226,248,758,897,741,543,565,
977,719,005,219,610,018,320,950,838,721,166,344,171,765,738,651,374,806,421,
813,743,674,147,602,324,710,555,242,272,925,960,387,886,274,171,273,694,097,
431,398,415,396,671,164,490,795,014,852,878,312,257,123,284,901,198,921,542,
592,945,538,546,956,782,377,610,199,492,843,455,934,032,634,251,472,966,578,
708,880,916,688,371,742,907,576,767,723,399,077,430,917,216,051,572,870,519,
833,439,752,096,006,733,471,001,802,834,773,870,920,909,137,497,870,022,971,
559,254,612,512,244,697,239,821,460,821,289,848,577,596,413,366,016,364,783,
816,079,512,176,771,403,988,650,606,904,832,202,421,511,491,474,747,850,456,
659,637,072,398,374,905,221,433,735,991,193,741,954,748,034,809,048,864,613,
957,564,713,940,331,659,007,970,235,771,114,740,552,880,952,324,352,891,098,
765,281,641,608,830,305,450,031,413,666,875,321,843,191,076,004,484,002,991,
670,344,316,955,471,876,913,181,365,105,062,363,645,763,266,064,894,863,114,
968,458,441,254,154,645,588,131,687,296,693,479,155,633,463,159,770,229,516,
131,995,510,370,368,938,058,859,513,957,037,268,496,065,908,742,104,907,352,
512,784,152,309,399,315,945,635,030,863,969,076,057,284,610,115,756,073,540,
012,996,350,850,078,464,151,071,208,077,431,905,246,790,069,219,552,446,191,
247,324,059,390,616,830,048,995,803,973,235,477,545,884,406,213,687,315,875,
622,186,632,845,724,849,660,501,590,564,614,174,792,190,342,061,764,612,218,
208,560,861,321,040,014,146,827,484,373,314,729,752,485,328,488,363,717,615,
196,038,034,785,879,707,246,235,516,263,032,030,281,412,269,819,321,666,190,
552,098,577,328,981,310,416,683,323,381,761,583,485,238,246,948,246,491,633,
560,880,161,635,513,454,750,737,778,069,048,316,478,620,726,680,398,484,455,
870,258,717,538,240,360,075,547,548,479,854,824,737,166,442,999,352,970,904,
030,432,671,435,315,896,915,640,391,756,153,506,958,677,468,228,276,598,181,
067,415,863,694,618,230,430,452,855,528,543,069,409,883,974,797,688,776,329,
274,992,947,157,319,188,745,442,538,162,927,738,080,448,999,519,023,695,306,
786,537,135,534,517,944,781,667,745,149,383,349,087,746,864,493,847,951,763,
238,666,304,638,749,380,896,576,604,197,785,142,519,158,651,049,902,514,358,
735,494,151,452,500,460,643,284,983,003,742,996,149,019,344,396,543,773,261,
465,639,143,757,861,770,147,879,505,097,947,867,308,464,448,238,969,677,831,
342,718,369,591,550,323,818,471,379,012,948,546,299,240,563,873,798,236,470,
124,759,558,414,183,822,007,080,141,115,200,459,099,818,227,981,523,737,334,
822,703,965,224,287,227,742,912,477,463,398,725,097,150,903,198,818,061,694,
323,830,167,927,533,471,442,349,701,640,303,530,045,928,924,179,258,122,974,
092,613,952,509,324,890,555,643,141,953,721,285,468,482,134,233,667,906,906,
616,564,615,179,201,300,253,989,404,934,865,230,393,876,448,515,855,690,147,
256,891,016,503,166,931,206,264,890,659,007,749,513,369,691,214,081,934,368,
191,208,363,679,627,954,986,730,124,924,717,450,044,629,229,790,475,875,963,
147,550,160,789,259,931,667,316,439,053,884,899,157,919,623,881,601,550,692,
317,135,802,196,837,654,114,888,337,962,708,170,419,490,250,316,749,401,035,
669,117,475,409,774,946,166,493,623,486,412,822,017,123,492,501,211,841,110,
966,946,451,379,212,055,238,775,551,053,299,091,958,274,627,196,990,145,499,
070,281,358,558,985,494,307,012,953,627,913,438,422,467,210,857,927,216,281,
758,237,472,660,475,779,364,118,657,308,990,256,440,579,643,268,699,461,819,
527,971,386,639,973,565,789,151,802,122,555,509,128,936,540,346,546,382,413,
359,830,009,666,294,791,257,984,028,686,840,376,016,363,247,994,085,286,720,
215,871,636,927,614,051,799,127,038,850,680,514,564,012,161,375,614,636,529,
036,253,416,906,788,475,619,448,558,254,323,906,347,052,912,379,363,313,079,
483,321,251,012,849,792,481,052,081,113,918,953,492,767,211,340,650,454,659,
557,138,759,867,200,464,581,567,977,375,534,754,916,512,342,214,833,805,122,
917,208,187,605,038,569,240,277,431,736,186,528,126,155,865,104,303,160,971,
223,943,016,225,055,990,826,859,028,531,493,282,051,178,342,846,153,935,984,
665,555,509,861,065,764,711,686,109,008,738,049,855,775,233,019,444,963,868,
871,199,396,723,912,675,120,009,531,976,332,382,400,352,784,955,554,698,386,
480,121,407,058,387,716,374,063,155,720,835,323,956,641,158,477,460,505,440,
712,570,970,936,275,601,978,883,064,540,857,644,898,027,338,028,210,368,129,
073,658,154,643,292,755,078,037,109,202,533,623,791,681,176,067,153,677,610,
394,076,321,986,262,210,424,733,959,004,463,684,828,139,819,866,905,019,058,
555,209,103,314,889,407,472,380,993,836,292,777,751,504,558,053,312,792,334,
009,353,144,431,072,407,148,961,069,915,850,138,742,907,367,323,344,240,584,
246,189,661,114,717,470,345,018,688,770,906,048,406,139,147,530,347,303,873,
293,580,285,429,798,691,387,813,164,087,637,745,017,047,578,912,899,935,170,
358,797,941,513,359,727,291,080,070,427,782,892,283,486,072,127,450,364,763,
222,755,360,684,192,870,511,013,775,439,727,464,589,578,542,020,420,830,086,
974,165,941,807,354,284,068,291,331,331,763,547,304,178,981,235,708,419,483,
822,284,062,279,198,694,243,279,844,163,299,463,354,848,276,690,061,559,342,
003,031,583,622,281,680,857,758,741,426,557,632,104,805,617,198,076,893,171,
666,840,427,137,863,538,304,531,923,121,097,444,467,056,345,439,073,807,585,
144,091,534,073,090,315,642,584,699,554,236,943,628,621,666,736,155,785,637,
238,334,352,549,823,705,307,170,248,888,971,300,626,360,210,674,628,896,611,
253,603,792,424,941,094,697,372,958,144,831,488,564,223,845,643,148,916,588,
773,432,985,876,120,335,947,447,548,005,892,512,284,094,121,223,405,665,878,
627,120,723,207,224,312,383,645,865,184,159,362,068,733,923,448,908,611,133,
629,273,429,820,203,282,706,876,426,019,804,876,979,128,278,168,995,456,645,
832,686,744,382,686,818,661,546,153,764,064,249,900,442,801,178,271,258,495,
083,421,325,636,861,589,426,324,439,464,641,430,715,410,233,637,690,002,248,
027,560,372,570,522,879,154,785,211,212,611,826,884,453,331,588,759,645,276,
324,164,139,264,300,421,771,537,894,322,221,156,208,823,644,900,353,371,097,
421,941,341,285,527,187,119,429,701,434,089,541,964,708,897,122,862,607,767,
894,354,498,410,793,230,945,365,553,322,174,411,857,742,362,037,488,429,800,
931,712,664,924,075,612,896,947,488,446,593,998,232,573,016,787,054,392,048,
017,982,261,255,551,670,742,389,409,470,805,813,494,928,640,635,340,291,703,
978,238,527,907,627,128,025,382,815,608,616,602,312,177,364,728,552,119,996,
727,175,949,770,517,317,624,859,844,329,125,929,731,734,983,258,644,214,485,
634,752,074,418,317,785,075,678,833,351,183,982,299,749,576,083,647,059,611,
410,534,070,269,960,069,125,870,080,056,791,848,295,572,363,145,112,213,676,
627,813,014,831,760,901,536,955,269,682,282,976,579,763,291,692,846,237,182,
521,924,992,363,249,908,881,447,355,344,334,498,632,695,111,672,798,615,574,
538,292,463,557,842,245,027,297,583,550,270,804,970,191,465,116,000,569,946,
828,916,778,625,828,070,679,755,556,938,895,196,950,611,935,144,118,409,012,
833,675,059,997,408,019,471,897,751,315,496,691,383,531,258,196,476,409,039,
651,583,032,703,913,260,669,878,733,418,981,828,294,519,458,257,992,415,168,
562,278,854,754,607,382,834,220,050,255,329,959,849,870,188,947,686,501,269,
716,436,280,727,253,337,188,342,069,433,045,648,251,827,085,322,360,887,075,
954,604,032,443,194,943,984,660,351,454,822,020,872,123,520,169,737,310,430,
862,217,966,570,546,171,559,962,400,742,328,879,790,980,007,923,757,339,121,
471,454,400,954,852,583,927,849,397,940,588,949,406,711,239,898,135,839,992,
348,300,242,786,065,605,377,042,446,309,717,734,568,543,818,975,643,508,710,
077,421,000,956,800,002,888,413,910,798,402,233,627,039,324,666,028,276,590,
392,731,186,920,076,379,706,290,910,535,579,135,752,757,037,137,306,142,143,
521,771,277,935,684,468,988,513,245,811,650,751,107,321,479,062,507,635,864,
497,075,306,921,658,299,833,394,323,534,208,044,937,123,538,922,559,661,466,
802,869,894,487,251,815,672,718,631,910,572,025,137,091,823,499,981,107,551,
608,816,158,714,167,030,769,758,861,421,975,850,266,079,483,012,401,278,360,
163,536,341,885,023,220,115,098,455,168,625,651,706,215,102,614,075,055,668,
373,502,000,863,990,550,428,419,280,220,605,328,049,976,273,731,389,165,221,
276,084,056,474,519,335,325,792,476,610,197,349,207,159,224,319,251,055,972,
747,714,114,108,600,434,180,339,812,333,918,914,353,137,256,746,542,455,271,
920,019,739,751,030,735,404,193,907,592,583,436,477,049,177,718,934,710,643,
158,463,101,244,222,133,214,066,104,667,117,228,894,020,224,400,050,650,170,
021,627,072,821,648,669,818,233,865,426,402,733,903,300,713,435,027,879,630,
510,397,318,013,124,406,809,603,801,511,627,485,806,346,737,780,943,292,857,
179,943,765,771,113,282,481,008,698,586,624,926,835,721,947,055,244,949,859,
027,519,372,065,680,898,698,834,447,532,623,878,405,041,045,123,285,383,272,
029,713,189,730,367,560,374,170,916,971,288,641,879,845,159,449,367,976,206,
332,859,456,934,675,097,119,863,227,735,917,739,894,355,088,235,463,675,330,
594,701,055,834,926,042,381,441,524,092,355,936,308,324,973,083,324,495,863,
117,552,842,647,104,082,286,255,089,908,548,772,114,684,236,969,393,071,690,
653,589,863,279,333,812,781,528,804,034,919,457,866,474,530,066,730,123,984,
628,075,068,326,654,205,283,185,620,641,460,920,393,244,306,548,797,504,759,
122,788,731,330,348,331,657,996,764,259,437,526,727,031,198,423,287,668,516,
643,012,525,494,079,059,607,746,535,625,518,201,486,007,274,731,121,219,063,
924,985,071,877,760,025,186,596,838,652,316,967,207,360,255,771,971,669,163,
582,385,595,663,814,165,890,909,972,592,058,880,111,751,508,389,019,192,363,
183,451,941,752,161,409,067,293,994,331,435,650,629,881,389,028,891,872,126,
046,221,757,630,687,397,384,542,467,360,008,785,003,286,653,894,872,178,399,
730,524,029,449,221,701,326,362,433,187,680,917,680,865,230,643,841,590,125,
204,380,673,078,774,837,729,029,637,772,006,364,008,514,911,842,193,175,342,
666,708,786,126,804,209,760,465,501,291,582,097,483,264,067,224,002,321,429,
848,327,021,260,432,322,633,609,350,486,156,280,745,344,642,320,601,227,998,
479,264,935,012,627,384,949,490,126,522,304,253,465,527,935,669,580,647,456,
725,144,575,726,255,252,526,163,588,768,419,914,622,413,648,882,470,392,781,
277,382,768,955,537,298,813,049,260,497,980,361,226,491,523,241,399,568,932,
642,660,304,252,184,842,574,431,187,730,340,662,805,153,856,990,896,384,315,
565,867,368,897,548,694,603,992,601,974,242,316,110,987,781,363,414,063,324,
282,994,485,867,010,725,818,061,344,201,353,270,679,471,582,619,009,687,664,
697,155,494,664,220,783,034,281,781,440,729,835,540,714,017,381,627,514,290,
222,952,473,075,172,778,332,428,956,469,103,119,076,797,727,343,139,262,855,
984,857,336,494,695,619,303,554,837,445,885,609,379,642,722,892,433,109,372,
576,235,981,383,889,851,223,349,299,898,827,477,772,470,904,233,053,342,086,
184,868,811,609,297,161,485,584,131,427,745,684,955,025,507,783,197,250,294,
211,992,880,550,035,359,758,432,908,984,312,767,180,368,998,875,710,519,912,
710,050,674,282,841,127,280,669,610,555,767,739,279,740,518,882,051,779,437,
368,327,237,452,573,736,182,041,762,654,734,172,778,932,173,583,375,337,963,
511,177,881,244,704,328,291,976,972,423,965,885,768,137,061,818,608,660,497,
310,597,377,854,784,670,265,714,971,171,702,275,935,918,300,967,326,203,194,
136,126,500,448,998,154,351,262,690,817,058,940,746,873,401,417,820,442,202,
524,361,413,970,233,261,673,245,259,044,648,529,974,995,493,558,079,092,310,
074,478,374,140,914,924,829,706,874,013,891,177,292,086,330,608,316,537,187,
922,313,616,032,557,553,811,501,137,840,897,748,075,784,287,317,825,067,557,
434,824,843,622,149,070,566,339,310,770,897,172,771,700,176,597,596,845,236,
630,052,339,816,252,721,078,605,158,346,789,584,140,557,850,735,651,244,259,
596,531,676,123,429,092,504,298,788,550,834,895,594,442,954,763,243,600,643,
950,465,681,491,942,573,611,342,135,445,267,655,468,959,992,778,123,817,429,
200,975,741,153,515,363,881,078,974,125,720,059,446,815,194,604,843,584,261,
646,923,504,646,793,874,877,058,418,423,971,239,941,643,156,994,418,916,729,
563,160,852,506,438,329,081,366,090,974,285,791,851,036,998,058,323,622,988,
608,204,416,629,121,238,855,384,236,999,292,387,912,473,453,208,797,424,223,
847,213,084,913,321,231,777,195,760,247,641,974,222,901,938,276,483,944,748,
221,522,116,063,707,935,315,828,293,441,816,789,184,096,988,518,163,837,841,
345,998,842,930,347,368,393,658,426,953,112,230,406,535,015,273,164,391,769,
240,776,363,478,206,638,031,807,389,395,348,974,525,171,235,703,293,094,143,
500,250,126,109,250,128,274,998,760,710,457,143,332,001,307,016,184,501,263,
818,675,286,168,623,631,634,248,581,922,579,622,551,093,503,133,090,492,643,
777,464,578,348,275,887,312,278,664,208,672,586,091,304,036,705,121,466,997,
527,785,674,057,575,570,971,496,149,977,418,498,310,511,903,585,824,598,068,
135,153,535,736,830,933,210,573,585,139,637,326,892,566,027,656,298,254,496,
769,231,922,143,330,143,049,427,294,067,418,577,313,109,407,789,498,414,497,
292,885,296,837,038,281,176,196,678,128,987,803,764,530,416,086,170,040,798,
956,809,867,057,283,182,101,891,792,581,535,141,712,781,291,503,219,130,060,
605,738,581,881,288,236,421,696,875,382,361,603,793,456,135,603,753,766,156,
446,053,471,753,454,861,709,161,892,635,997,470,974,865,065,539,544,724,921,
157,723,061,362,967,263,659,380,554,414,865,729,572,257,636,895,228,625,043,
910,091,476,657,945,002,864,029,474,446,895,030,326,533,615,269,014,311,017,
631,081,020,057,903,751,019,508,154,073,463,703,359,698,498,090,483,382,647,
903,038,519,275,252,280,466,118,254,865,407,047,383,195,009,825,987,887,012,
913,243,976,939,123,266,409,374,926,964,653,094,209,965,472,075,633,467,551,
251,873,485,790,925,420,969,683,949,457,955,733,929,221,626,192,016,687,750,
912,028,020,483,420,217,609,207,227,293,263,754,135,875,702,133,919,668,333,
478,586,232,221,887,986,889,707,213,937,865,496,653,797,253,493,343,026,055,
056,401,547,242,478,313,205,824,336,271,058,911,377,219,172,165,377,475,986,
890,554,585,476,816,513,192,162,362,296,825,816,585,835,759,063,416,218,277,
462,130,628,711,521,017,852,929,997,755,272,244,529,757,695,401,073,581,504,
277,217,940,074,813,235,743,719,390,767,097,834,408,487,388,469,319,958,607,
697,282,060,606,409,785,143,291,873,503,861,437,534,421,038,334,647,276,403,
665,862,212,684,181,449,394,588,788,008,022,749,108,470,678,592,106,201,520,
741,705,666,730,487,057,955,771,648,076,978,124,429,183,303,673,236,324,669,
106,533,876,623,460,251,688,136,218,043,726,786,876,260,880,063,628,946,499,
767,987,349,575,081,868,135,631,042,077,987,677,071,000,920,897,680,856,178,
568,995,135,200,741,495,892,939,967,405,362,754,442,491,946,298,506,542,151,
018,728,432,610,026,090,273,248,057,991,499,499,317,019,710,232,849,841,592,
003,838,642,893,137,629,713,622,450,268,568,960,345,557,267,070,158,482,277,
009,228,206,118,190,699,273,044,956,777,959,326,198,523,041,426,100,963,195,
487,320,952,771,522,223,847,165,971,284,160,110,912,961,487,794,521,227,980,
397,468,031,415,722,335,171,008,256,388,814,630,885,476,098,882,881,796,159,
164,550,795,987,001,428,252,263,985,511,052,788,548,564,416,431,465,836,418,
698,612,565,003,968,063,656,627,307,999,899,923,109,566,369,648,243,472,991,
286,169,946,826,505,744,030,681,142,476,420,515,303,199,147,949,009,729,297,
314,297,417,530,203,382,340,210,126,364,525,853,177,569,940,875,653,372,199,
540,062,376,795,580,683,108,354,552,236,047,096,501,321,315,750,205,298,932,
682,110,076,761,535,333,662,408,593,655,969,713,075,249,010,789,054,715,719,
521,827,589,111,051,244,410,486,230,328,018,030,039,910,258,139,066,567,852,
973,117,436,954,609,917,002,540,724,901,321,654,719,926,420,255,411,455,224,
064,110,456,347,816,433,375,894,525,702,267,409,033,708,616,597,192,539,596,
206,280,144,960,426,043,690,921,180,102,590,577,353,962,354,858,745,475,730,
909,822,289,261,945,263,123,452,522,813,666,713,898,077,750,175,069,448,850,
562,359,933,071,259,239,395,484,453,175,791,343,821,340,660,907,458,142,157,
964,784,715,512,795,737,984,854,091,277,379,235,205,955,961,296,453,995,567,
248,415,415,867,027,825,710,152,788,358,678,579,406,638,442,865,669,309,260,
896,425,570,833,058,079,332,815,121,033,423,902,024,401,807,192,337,234,983,
087,943,578,118,764,564,270,901,480,847,147,580,705,382,083,859,483,860,047,
345,207,238,816,424,849,594,036,561,299,764,532,987,179,027,341,900,011,742,
505,320,066,143,021,493,281,600,127,581,831,088,205,234,577,221,294,335,533,
766,426,399,713,643,972,329,448,061,043,068,968,251,815,105,727,283,049,660,
353,014,203,995,699,150,990,986,771,094,498,656,554,030,706,674,049,740,478,
934,741,437,309,525,417,529,341,833,991,829,102,021,611,148,602,241,930,201,
912,492,798,252,231,007,889,419,992,749,516,022,813,434,144,689,157,728,697,
433,219,099,582,457,986,489,255,432,650,516,524,841,164,297,270,050,714,090,
810,421,344,472,647,694,613,192,676,492,875,564,297,817,904,766,451,350,324,
995,208,915,694,780,369,221,194,264,629,544,177,052,636,568,805,924,742,694,
527,067,427,601,361,774,485,014,491,321,774,493,908,575,205,082,534,463,839,
903,591,489,066,261,107,036,263,476,729,563,709,726,609,837,843,088,015,485,
502,181,545,882,297,792,952,540,217,888,776,578,200,336,624,098,968,001,565,
556,086,377,883,433,076,488,798,878,274,186,306,409,541,878,984,345,605,307,
032,314,891,629,761,921,050,042,405,620,171,439,494,502,039,043,797,321,264,
042,691,281,947,601,226,742,431,952,029,865,254,105,949,918,205,580,685,229,
803,011,717,116,615,736,810,944,108,703,715,368,143,789,415,778,728,814,577,
971,597,082,886,468,004,684,200,445,692,497,602,739,631,984,973,086,188,648,
336,451,232,690,586,829,628,489,250,365,242,561,122,148,567,992,875,293,914,
726,924,667,761,871,046,002,495,657,878,432,292,895,224,406,591,166,745,888,
371,073,330,266,382,704,536,059,896,929,938,088,119,503,482,032,115,514,194,
721,334,853,949,444,156,281,096,081,998,186,221,597,657,621,707,174,223,594,
203,527,959,456,421,747,926,776,539,198,780,976,935,206,470,901,870,816,019,
612,479,256,865,276,159,876,260,134,608,503,950,279,806,288,153,048,921,083,
241,279,506,736,205,454,524,161,443,523,948,809,033,038,219,698,904,021,997,
225,756,098,868,144,975,626,950,723,700,460,754,307,833,593,660,603,769,400,
042,648,527,621,220,344,257,734,628,618,338,693,269,957,699,007,825,820,787,
383,317,831,202,332,036,256,975,315,214,970,529,811,059,447,421,228,006,012,
882,137,415,631,660,972,666,271,625,717,650,341,543,718,448,332,549,417,697,
672,320,267,205,745,950,527,889,524,395,499,756,287,870,412,496,454,302,576,
166,413,365,883,231,550,364,051,156,251,161,799,851,296,987,439,647,117,798,
273,773,194,593,120,265,861,854,769,939,162,814,492,926,714,227,745,562,503,
448,844,447,297,585,360,742,920,278,097,708,454,062,141,451,281,325,658,824,
394,699,804,668,471,518,109,954,173,497,612,393,169,650,673,109,151,949,992,
872,424,180,039,785,179,171,089,151,266,120,709,168,067,971,378,598,385,173,
477,135,049,484,297,285,291,409,667,262,503,568,178,828,645,751,449,398,254,
844,387,319,598,800,636,593,738,809,211,377,613,472,088,978,850,649,886,560,
418,685,858,287,513,214,887,332,451,236,875,912,283,232,016,798,774,761,950,
024,420,235,389,563,080,705,812,440,300,611,554,967,625,248,992,003,136,795,
483,931,307,910,048,566,322,788,564,442,917,496,173,141,757,464,196,837,004,
454,238,303,715,517,549,389,266,767,918,530,129,577,514,127,130,548,966,645,
714,683,926,102,502,877,692,160,084,294,953,354,200,408,394,580,805,050,487,
521,280,043,450,058,628,358,460,860,842,692,268,846,683,641,121,003,184,350,
983,946,873,103,999,779,525,232,967,965,217,326,688,608,989,582,417,688,734,
782,431,439,603,592,373,771,035,732,395,112,070,355,136,769,016,843,289,845,
072,506,143,298,395,911,765,650,242,901,365,752,251,823,847,813,499,435,962,
286,341,978,514,931,733,391,248,748,742,574,350,570,966,279,149,424,852,753,
869,114,647,449,861,396,461,540,614,249,368,502,067,990,567,187,958,355,309,
222,953,278,404,246,156,320,595,817,563,475,133,004,340,808,195,322,210,473,
516,614,686,584,222,859,731,312,033,712,125,398,208,462,804,896,011,813,463,
927,876,820,135,117,200,884,560,020,169,717,736,565,007,709,671,473,773,417,
657,371,206,353,318,229,583,882,884,425,199,973,592,535,409,839,900,322,195,
376,294,980,283,726,322,459,563,865,483,270,484,262,689,263,617,717,725,084,
583,839,168,517,877,644,711,821,136,085,501,115,598,795,384,670,307,272,023,
520,640,104,383,861,265,995,614,399,282,974,292,255,388,694,873,613,509,884,
337,588,300,285,902,994,702,627,508,268,504,182,712,515,597,129,278,765,504,
580,462,877,004,333,962,777,424,163,264,180,479,555,918,429,316,314,424,353,
527,612,854,578,602,114,285,393,173,400,967,881,453,553,643,925,088,030,015,
543,861,012,661,867,412,531,501,163,189,828,167,130,727,529,630,357,620,532,
022,537,258,354,306,779,686,856,655,358,695,176,873,231,425,636,448,383,566,
754,355,544,920,365,535,475,901,136,321,499,384,950,644,230,742,424,344,782,
311,052,875,523,687,945,593,147,187,125,446,245,330,187,072,525,859,089,598,
164,474,796,375,940,643,161,397,896,377,270,435,597,519,684,506,990,537,600,
366,776,284,125,275,980,888,955,914,847,985,771,061,184,806,502,655,119,409,
606,936,737,821,813,776,021,677,289,731,752,585,633,797,699,571,217,419,628,
500,912,532,807,742,156,438,952,327,012,131,643,927,697,328,829,135,301,679,
881,904,267,446,885,553,831,154,924,683,478,506,382,573,525,429,574,496,761,
191,651,639,252,184,886,889,897,074,159,760,180,146,507,474,223,979,637,668,
407,057,173,086,801,323,278,808,686,547,578,498,183,743,508,226,691,002,094,
358,170,139,075,147,692,277,554,894,480,299,726,139,733,058,463,111,501,116,
077,705,893,809,709,222,010,664,966,302,144,513,052,290,011,219,723,658,259,
816,630,728,102,568,855,733,723,526,403,527,113,453,492,276,085,925,838,691,
852,420,095,260,439,069,073,506,316,275,674,382,124,458,339,392,218,446,448,
420,759,531,144,609,472,831,064,693,052,649,755,791,728,365,038,312,439,592,
116,444,577,688,171,142,264,312,355,290,652,215,782,283,257,028,492,849,101,
568,071,301,144,335,258,761,013,256,355,676,029,567,095,397,443,827,249,163,
406,876,054,766,872,687,737,885,582,614,006,563,639,179,018,440,205,264,978,
857,413,369,418,212,294,078,492,738,416,215,976,024,625,519,094,246,031,295,
391,593,231,456,245,264,834,057,311,813,360,506,247,139,039,393,263,199,754,
365,076,349,409,614,374,557,455,528,978,780,549,744,996,624,171,081,642,793,
119,526,139,169,704,771,792,597,429,851,850,658,167,730,936,029,176,310,252,
154,792,035,178,259,371,841,059,380,474,316,532,269,295,870,692,258,486,012,
600,992,068,039,431,192,377,262,362,528,626,399,006,028,207,503,367,604,808,
581,466,461,819,429,815,291,324,605,956,990,619,040,054,889,952,683,027,292,
711,225,861,127,989,095,835,119,396,614,573,139,545,577,629,497,230,844,670,
823,483,332,694,595,580,335,938,580,828,794,724,512,552,468,918,688,843,539,
355,941,629,631,439,657,871,900,200,207,841,528,168,872,227,374,498,837,807,
393,202,259,628,387,094,084,623,990,373,914,248,280,000,462,498,238,345,800,
528,083,410,187,568,704,236,843,077,303,312,227,113,195,917,440,613,085,348,
940,795,553,409,100,001,740,373,464,204,668,117,402,146,229,187,442,363,636,
974,314,233,112,179,339,859,036,868,126,315,959,275,130,431,674,665,829,911,
347,875,379,467,734,967,931,353,091,626,233,254,621,965,795,238,395,617,487,
882,040,766,731,970,421,929,935,399,961,281,689,697,922,894,977,703,708,717,
744,859,328,009,592,800,123,822,180,281,392,223,354,217,675,030,431,515,259,
968,332,302,329,103,952,303,837,344,745,290,537,904,443,920,711,509,642,167,
287,358,012,170,818,710,894,608,407,918,390,982,054,938,906,105,782,731,879,
777,751,914,010,493,090,779,864,707,221,151,794,250,617,708,961,792,669,543,
841,269,045,700,393,943,171,036,830,491,127,621,656,332,711,335,698,810,718,
980,896,685,797,116,561,154,266,309,227,535,892,297,513,517,206,111,496,530,
373,284,454,153,593,861,235,736,504,344,757,062,467,487,890,685,536,080,248,
783,836,516,746,415,607,154,203,522,824,047,590,434,896,436,054,998,472,119,
059,568,187,661,796,096,768,270,708,315,268,648,065,462,972,178,772,507,729,
419,411,828,415,248,451,172,838,426,196,377,516,471,456,883,762,317,091,272,
759,728,198,257,114,867,373,714,342,804,445,364,286,367,816,707,542,759,497,
778,656,618,620,813,651,946,834,960,479,288,789,099,398,470,510,541,341,744,
552,752,766,100,720,380,853,377,150,531,770,786,459,674,629,627,840,254,303,
154,910,529,608,034,946,160,375,339,348,599,634,635,526,776,204,441,627,399,
554,840,716,773,696,463,271,403,482,902,821,223,757,434,947,166,025,697,322,
231,356,388,196,252,357,733,912,276,630,230,039,517,268,130,792,953,187,647,
135,193,998,128,363,439,849,501,456,834,370,401,407,229,402,196,791,011,967,
684,806,604,716,572,621,039,211,588,919,057,731,320,420,872,248,661,670,666,
430,139,862,829,800,328,765,580,906,188,122,159,719,594,273,353,025,621,027,
665,098,762,872,445,552,472,589,084,896,185,441,868,002,957,959,060,714,858,
210,691,562,594,696,826,334,683,783,167,024,213,525,228,041,728,577,967,831,
406,211,263,640,802,861,752,209,791,880,483,011,153,771,489,306,011,347,152,
363,655,636,085,280,944,398,237,043,157,826,571,867,199,394,005,314,702,752,
330,880,960,411,405,449,753,359,789,115,331,425,556,089,917,406,498,664,310,
220,011,444,803,183,187,188,588,472,273,329,721,260,005,035,513,856,429,691,
426,281,078,602,591,336,945,131,604,684,262,218,411,502,675,673,614,036,785,
654,259,271,524,815,934,446,557,160,975,631,001,589,110,433,684,446,232,358,
321,334,834,936,719,294,751,068,605,781,345,454,371,145,267,704,771,363,481,
108,099,829,702,306,779,652,774,333,949,678,044,703,181,509,052,250,508,823,
021,182,878,457,770,726,468,787,002,351,230,932,874,271,337,871,692,320,933,
507,818,349,308,450,104,491,947,622,276,989,818,523,486,616,268,187,640,154,
262,322,264,037,735,916,302,500,824,155,925,265,429,403,401,827,333,151,740,
368,387,742,614,279,736,732,863,415,085,982,341,476,561,255,818,687,599,736,
865,115,500,812,423,240,407,765,886,141,501,631,747,724,886,834,205,988,395,
669,041,287,889,704,487,051,148,100,615,873,180,692,373,814,000,146,318,338,
011,574,746,071,455,403,522,944,962,893,984,172,831,359,944,362,736,018,611,
696,363,822,759,920,834,718,370,902,518,655,022,262,432,040,553,089,439,662,
065,039,756,702,660,930,721,788,395,607,126,106,901,389,685,718,359,017,276,
728,126,206,811,841,641,957,352,217,562,891,798,699,561,829,584,882,461,576,
542,937,471,801,528,862,083,437,034,653,252,286,559,873,097,779,998,130,596,
047,266,028,491,059,752,699,692,314,458,389,360,657,533,768,193,798,815,268,
927,450,232,898,765,535,835,809,980,103,658,245,838,627,594,943,766,918,694,
809,060,238,952,499,713,037,116,952,675,573,460,184,412,724,612,931,296,505,
719,429,716,169,575,798,690,414,728,123,107,900,558,159,616,632,392,963,118,
595,595,874,199,914,805,681,086,212,620,466,033,372,093,717,056,889,148,017,
814,243,516,260,243,082,491,058,272,013,059,654,727,148,023,647,919,907,808,
980,604,493,216,719,410,019,781,571,221,127,803,817,111,411,401,048,167,245,
935,537,152,289,826,018,345,685,545,640,898,926,050,316,465,349,306,103,695,
228,585,950,006,934,454,188,227,313,774,228,596,291,815,943,040,689,193,721,
267,609,314,148,686,771,333,616,115,752,047,279,031,836,755,313,557,175,651,
036,199,697,781,671,625,233,987,552,607,377,325,877,954,726,478,000,591,112,
557,273,999,821,830,827,599,768,826,709,423,688,434,484,888,777,378,116,912,
264,004,801,646,515,092,410,166,120,183,159,439,626,151,896,314,879,634,674,
931,336,604,147,950,564,079,823,465,081,652,390,029,887,173,369,499,545,769,
301,710,791,951,931,315,923,850,123,685,243,197,735,300,426,584,336,686,110,
313,535,212,580,415,407,472,388,960,550,734,500,590,349,047,091,423,399,575,
040,530,844,249,941,266,960,425,576,567,961,874,936,210,069,342,725,077,429,
923,365,022,693,833,619,009,156,302,465,974,071,394,843,545,331,064,695,174,
555,289,428,823,222,427,215,970,068,714,948,136,912,017,118,248,971,193,146,
331,272,166,082,335,926,228,227,894,029,284,505,305,729,572,684,505,005,067,
955,609,346,177,797,185,280,900,749,085,599,277,699,277,389,470,218,870,846,
701,444,235,226,199,826,259,992,769,699,242,192,255,008,731,036,003,557,384,
814,972,189,484,178,851,362,031,488,880,851,297,224,637,940,014,009,009,040,
947,196,245,255,790,326,281,224,704,666,496,860,314,231,112,749,292,928,220,
223,956,077,656,707,112,034,029,006,623,716,675,153,375,803,168,565,791,653,
844,767,667,440,335,975,449,496,148,992,425,069,794,746,144,033,344,289,578,
199,818,171,310,387,160,596,995,661,738,902,548,084,624,350,361,091,911,629,
374,982,664,544,048,598,712,909,017,099,491,617,572,066,897,379,019,030,505,
387,982,430,340,465,743,722,643,379,332,218,844,812,642,633,443,660,661,200,
392,270,020,375,036,308,427,087,567,591,349,673,559,534,418,258,546,354,617,
803,170,537,196,930,606,224,596,134,082,741,738,387,884,340,977,607,454,940,
624,537,409,478,704,525,137,054,845,020,686,880,664,788,772,585,259,697,436,
105,854,586,844,909,903,704,332,817,255,412,635,385,161,622,842,310,047,778,
528,220,833,822,524,407,749,978,684,759,891,524,893,287,867,892,720,503,333,
045,218,515,857,743,489,391,001,248,063,439,628,937,533,788,761,266,925,106,
639,364,301,832,758,884,697,132,983,579,304,841,102,725,513,381,481,311,963,
962,140,909,116,146,422,593,549,725,895,925,494,161,360,216,061,516,722,707,
982,943,908,825,841,866,212,603,115,114,384,484,266,066,640,100,238,140,732,
719,987,586,910,841,655,597,887,022,782,872,492,755,942,050,410,646,935,921,
807,540,055,730,145,965,069,260,552,453,265,196,078,582,147,003,705,931,159,
660,005,037,469,841,180,850,334,766,652,888,639,685,200,763,921,561,467,287,
335,839,728,191,694,205,657,086,019,190,768,350,410,739,764,357,604,810,002,
588,446,364,311,447,277,855,130,830,614,626,739,297,229,238,252,176,194,546,
974,615,528,055,078,707,574,646,675,562,190,915,009,449,881,256,876,783,558,
641,669,992,104,183,649,520,751,406,327,023,410,776,003,394,689,536,284,986,
694,094,930,544,310,092,423,572,335,700,476,308,741,309,943,112,349,780,739,
210,781,366,880,431,927,784,216,852,592,793,376,489,532,791,134,781,514,249,
734,643,397,810,699,017,276,343,684,863,824,479,601,976,111,565,742,583,605,
218,724,781,182,891,472,882,856,473,059,413,044,159,068,228,897,341,836,529,
504,063,295,737,074,586,479,152,199,622,998,490,317,660,076,698,595,128,214,
037,465,814,408,386,065,064,872,092,679,759,462,319,798,599,153,516,399,848,
022,536,449,964,740,750,949,599,394,086,308,664,636,564,210,881,968,984,023,
791,047,336,373,151,583,783,904,159,476,237,443,591,882,766,457,170,674,736,
126,042,807,859,774,579,988,805,993,086,471,474,005,912,405,734,046,476,534,
902,116,163,812,356,853,603,378,022,008,719,158,659,049,456,713,784,867,838,
821,057,228,344,799,377,012,972,137,537,396,040,442,193,473,908,947,336,844,
526,828,089,062,080,338,439,416,754,327,838,050,644,490,843,018,771,047,564,
706,061,942,704,898,351,321,641,395,002,760,668,327,481,894,915,110,798,237,
779,866,542,395,717,764,483,678,309,455,115,998,319,169,571,931,878,591,262,
975,939,069,178,210,313,537,106,385,081,237,323,569,704,381,847,114,187,849,
733,816,674,442,439,806,451,873,138,390,982,781,144,434,757,566,481,251,299,
908,221,027,120,088,712,918,007,409,098,739,447,553,797,548,846,003,185,648,
896,673,448,024,671,184,325,589,720,157,470,170,425,781,175,117,791,231,049,
538,481,768,030,348,242,238,706,379,885,551,665,138,191,824,846,253,724,024,
448,247,164,831,700,719,583,002,831,656,082,958,120,047,833,196,440,628,523,
138,277,678,248,996,423,827,802,147,653,289,569,232,328,816,034,752,028,471,
848,254,405,757,148,141,267,767,616,599,376,601,529,752,014,578,873,758,069,
094,212,281,634,395,699,714,173,980,687,344,444,260,311,816,357,480,529,953,
712,817,493,180,825,703,802,553,501,109,195,488,686,823,023,856,575,513,550,
558,273,440,164,104,535,894,413,935,200,727,428,960,664,156,535,344,766,106,
935,224,023,461,207,248,111,830,767,153,597,270,178,386,711,465,322,848,171,
154,067,504,090,609,950,240,847,528,250,843,281,786,168,543,188,004,488,434,
876,186,486,904,297,991,957,649,106,369,116,346,230,302,746,501,450,031,558,
496,216,974,927,931,689,584,702,628,848,034,455,957,388,274,901,344,343,164,
121,689,776,022,695,927,147,665,463,321,424,826,129,168,523,336,029,283,217,
549,696,808,643,890,802,385,250,380,002,786,783,541,705,379,663,141,243,108,
083,335,371,620,897,068,305,693,828,821,320,865,375,516,837,973,320,813,929,
776,598,738,163,422,584,330,295,753,716,850,298,235,333,108,235,666,116,128,
902,674,899,273,947,827,302,526,295,558,197,127,870,446,074,964,655,416,705,
611,348,843,480,694,257,475,571,783,491,838,016,643,368,958,960,071,427,008,
939,949,569,809,906,535,169,032,271,974,313,900,153,957,232,732,646,260,408,
286,158,770,083,262,105,434,132,168,859,442,841,207,815,809,163,611,638,279,
057,138,621,831,975,586,995,337,764,373,514,465,788,305,567,125,096,185,747,
257,007,373,479,994,262,522,671,545,898,598,197,392,261,213,953,828,473,104,
301,339,921,832,205,298,908,772,230,871,648,220,654,800,309,002,809,015,734,
104,504,796,642,172,850,338,441,150,434,333,192,614,526,133,752,152,563,015,
833,284,562,845,030,770,824,403,009,982,331,826,560,895,518,494,697,323,974,
459,178,759,617,360,201,681,826,426,081,285,593,187,883,077,089,459,927,312,
524,075,321,005,517,724,030,333,886,738,876,597,247,673,248,174,759,424,340,
171,467,515,168,895,002,907,541,246,938,077,034,262,591,006,876,946,825,187,
099,209,473,637,499,002,304,711,429,741,668,248,310,416,976,352,333,538,148,
642,053,698,832,678,202,269,827,876,232,993,515,547,906,906,812,676,000,942,
424,854,122,385,750,582,255,851,184,907,526,039,247,680,950,424,562,555,561,
821,585,899,663,508,499,825,174,134,545,615,066,103,161,610,935,996,196,414,
394,130,005,239,683,018,688,751,073,630,045,937,540,566,170,641,976,791,590,
276,690,785,989,453,685,149,859,729,673,649,493,691,317,659,577,548,790,880,
506,114,196,564,182,290,085,084,898,061,069,317,485,287,333,312,339,750,767,
576,322,703,728,203,083,915,869,849,887,693,569,119,350,856,979,923,253,711,
129,512,602,582,848,614,254,459,821,688,805,144,126,395,570,698,030,681,368,
117,067,615,754,015,077,057,569,760,966,622,612,149,475,017,367,493,257,300,
726,776,872,768,255,481,282,898,789,855,829,421,317,288,964,851,820,830,585,
954,342,506,711,907,261,666,375,312,567,611,623,422,460,959,763,223,531,136,
883,093,334,413,054,949,305,820,682,239,257,930,620,644,346,778,878,716,271,
072,981,408,748,991,244,043,597,592,395,550,032,239,251,327,432,940,010,860,
086,522,462,171,391,206,808,369,845,110,623,526,825,114,747,868,915,687,474,
294,767,817,090,252,867,751,922,936,443,924,763,105,558,460,519,657,203,632,
952,927,774,455,309,419,295,663,330,937,261,206,645,723,364,169,742,846,793,
986,426,742,707,167,157,994,300,105,001,013,032,179,618,917,577,313,917,199,
771,445,241,233,610,478,658,498,704,852,567,782,312,542,947,981,721,720,969,
653,541,908,489,364,388,494,298,980,626,987,087,732,714,981,985,480,632,130,
891,287,708,081,905,188,958,686,929,482,732,140,087,212,302,468,655,390,912,
464,624,569,929,764,040,589,591,413,695,580,636,468,127,831,212,108,355,961,
126,212,511,147,031,749,037,166,238,130,864,903,480,909,596,332,966,951,241,
202,396,008,363,554,895,628,367,977,363,334,896,297,400,809,033,301,155,827,
893,352,182,643,715,280,656,291,991,554,778,625,095,109,396,735,166,456,003,
565,922,735,289,141,690,916,146,473,587,017,913,222,504,986,343,168,440,328,
878,099,758,108,654,031,331,181,355,354,096,695,517,763,299,803,761,118,077,
246,621,694,294,136,344,813,907,678,581,295,981,346,952,104,616,791,492,231,
457,882,511,521,058,049,582,747,386,517,434,834,469,711,523,634,953,537,385,
277,143,484,418,236,606,872,324,910,457,059,103,164,100,307,166,475,682,364,
770,969,336,910,658,324,987,171,430,719,325,595,576,814,732,409,416,681,695,
288,928,332,393,255,067,480,920,008,838,935,135,763,029,228,182,653,876,432,
270,834,739,686,945,525,982,228,885,567,209,834,830,477,957,439,088,729,109,
754,077,003,773,444,268,330,272,137,427,241,048,165,677,155,363,634,541,070,
805,770,803,110,413,193,574,173,318,723,730,939,275,089,782,712,078,521,072,
442,995,221,693,324,244,913,608,623,291,185,690,226,530,016,753,771,464,426,
065,129,245,733,804,116,700,219,902,822,125,638,554,770,166,419,902,582,854,
106,935,934,923,936,775,150,555,954,835,796,376,626,396,312,538,061,275,333,
457,448,258,593,518,960,373,832,162,041,057,549,439,440,111,685,371,623,382,
651,061,714,319,753,340,938,273,372,498,572,148,770,189,492,672,470,256,849,
670,957,469,806,764,302,097,973,764,990,756,284,011,757,079,757,565,454,855,
577,865,176,522,994,590,982,605,575,645,017,563,559,033,802,446,679,960,949,
663,474,704,103,780,689,842,356,495,300,408,595,545,927,106,301,965,902,268,
754,247,053,422,015,142,825,826,999,199,588,724,090,842,355,069,227,574,381,
435,602,073,573,776,612,058,521,889,453,614,301,864,724,095,375,683,647,108,
057,477,001,713,277,490,159,546,690,378,365,021,788,702,974,613,498,877,388,
299,744,877,725,716,617,670,455,488,223,274,291,053,705,888,962,935,899,103,
844,555,578,991,795,154,126,845,072,710,441,430,667,700,054,558,842,493,112,
534,156,712,109,299,102,173,808,849,145,757,878,667,857,480,330,720,635,022,
451,093,071,896,410,570,435,151,997,613,658,390,971,359,477,201,123,514,434,
749,282,921,165,615,742,565,953,210,486,166,218,131,902,368,182,721,541,929,
108,263,159,397,108,306,153,959,584,811,380,955,273,602,880,663,755,052,615,
545,058,827,427,650,672,203,203,946,623,299,483,798,178,785,035,835,903,753,
708,850,797,148,175,998,946,765,473,375,700,688,687,634,319,817,960,020,147,
391,668,788,057,356,338,965,212,885,725,576,232,217,566,715,201,151,726,895,
289,934,617,290,413,778,695,310,526,356,284,336,425,409,469,489,634,095,115,
485,398,729,819,630,174,226,731,116,042,615,189,429,918,160,148,624,725,737,
344,910,438,536,396,148,659,741,103,559,302,959,156,384,016,323,791,373,345,
374,911,413,967,449,694,286,573,846,357,042,563,429,943,951,401,516,895,402,
301,667,733,788,297,964,908,151,056,372,709,378,851,524,601,422,048,072,739,
466,315,158,216,875,315,772,113,778,516,682,148,183,708,543,934,354,818,429,
546,019,266,497,504,649,090,777,849,277,110,404,293,678,156,797,416,406,598,
008,498,570,139,698,827,049,318,599,154,212,398,114,831,088,872,468,108,413,
247,836,324,118,454,195,640,234,970,781,453,144,769,155,722,377,850,114,357,
593,911,263,951,472,722,193,453,234,082,993,370,771,369,149,001,946,091,210,
791,102,292,140,449,555,303,403,903,205,810,117,721,419,675,515,016,072,725,
621,399,018,001,117,268,513,299,781,928,306,606,748,437,940,437,201,997,446,
997,741,576,946,361,717,875,298,850,507,171,000,867,681,559,764,929,194,365,
197,236,906,577,822,459,743,634,063,939,417,356,106,617,476,248,714,436,468,
121,048,690,594,037,760,182,591,700,180,266,066,098,043,968,019,577,332,662,
894,541,819,788,684,222,408,453,646,009,913,570,455,994,917,832,884,733,732,
996,818,433,579,845,369,671,691,500,234,308,661,393,423,103,246,378,230,871,
260,758,563,548,118,828,186,586,874,517,420,685,020,594,388,266,148,162,587,
378,857,219,302,117,499,125,656,098,590,574,547,660,651,347,214,466,904,449,
108,671,728,444,679,426,334,052,272,623,679,639,615,662,939,481,440,828,649,
392,132,662,486,567,546,896,226,295,895,978,976,059,133,658,602,012,078,310,
326,049,580,172,429,248,249,660,622,863,723,032,667,267,303,625,492,210,466,
676,165,658,850,649,072,025,609,449,038,993,692,470,693,813,480,645,824,815,
872,836,861,914,212,483,686,949,496,660,430,723,782,785,827,722,158,865,274,
025,897,633,315,003,194,366,921,941,358,622,744,109,672,059,163,573,913,704,
754,856,187,428,679,249,246,061,796,705,468,707,962,115,457,721,531,387,720,
193,726,440,315,757,944,369,694,090,683,673,393,225,408,159,501,512,367,081,
608,568,236,882,244,131,163,040,739,136,703,361,978,368,502,883,026,169,682,
278,286,903,209,420,434,983,490,128,820,262,960,762,657,903,878,404,050,186,
256,009,354,802,467,206,800,870,647,422,387,634,081,162,611,984,338,100,852,
150,770,270,190,209,129,057,593,500,380,294,344,132,489,640,762,120,224,469,
838,273,478,431,954,137,597,925,640,279,113,113,827,349,016,097,461,941,054,
779,192,368,919,906,114,464,615,300,179,754,554,160,608,885,927,873,420,122,
082,678,373,231,263,538,178,694,550,519,086,417,178,429,108,418,049,967,368,
127,149,221,003,668,278,738,677,303,608,286,601,014,591,442,508,764,311,945,
893,817,300,997,306,656,718,719,824,975,347,183,690,007,375,746,790,966,994,
601,969,025,364,337,153,800,202,618,661,002,638,006,194,157,708,199,640,348,
269,722,621,494,490,724,497,403,831,443,042,339,987,594,102,274,115,870,783,
085,642,732,077,483,050,990,552,014,209,456,689,688,570,709,111,943,453,752,
545,047,495,267,492,675,687,758,852,643,604,658,346,837,341,908,626,838,662,
048,961,904,503,000,027,476,538,559,951,407,023,054,203,878,378,488,597,644,
912,614,310,147,280,429,603,419,698,595,748,076,510,354,464,109,669,887,371,
019,105,086,880,241,683,264,350,989,819,059,932,025,253,611,293,518,768,514,
703,473,182,515,503,099,573,025,580,052,085,002,011,199,842,014,093,680,202,
567,980,442,338,323,049,477,574,933,654,155,341,730,907,560,903,645,167,992,
623,908,537,917,050,435,717,234,671,512,305,573,988,202,764,525,309,115,849,
482,106,071,701,343,521,203,704,921,106,116,972,722,479,662,431,530,829,554,
966,499,363,791,656,653,151,550,560,757,662,196,261,739,008,513,929,992,458,
976,106,387,941,906,097,507,042,369,847,283,164,721,947,200,516,749,511,945,
932,867,518,500,003,623,579,108,419,463,416,356,821,080,403,380,838,399,246,
616,611,452,317,189,277,788,109,159,737,170,789,533,492,425,132,620,610,308,
426,980,725,389,576,801,945,467,033,282,754,062,862,638,422,280,359,834,259,
860,464,801,255,084,149,494,233,456,955,464,439,670,294,137,807,043,297,163,
714,387,831,693,424,941,251,282,221,747,259,048,835,492,788,136,838,374,641,
414,733,368,893,369,717,951,736,902,507,976,819,445,736,950,568,206,268,032,
547,280,701,409,074,008,354,079,693,336,338,876,749,590,349,437,863,468,887,
030,200,813,759,515,496,027,158,172,753,565,779,986,607,504,853,966,495,245,
030,607,127,484,012,219,982,097,306,276,631,401,418,925,836,668,514,133,601,
236,645,167,931,732,571,247,736,573,997,201,481,358,212,849,976,644,371,371,
380,123,304,243,311,620,609,488,853,312,530,101,398,461,370,151,755,195,131,
646,762,288,658,593,667,345,623,768,749,598,409,886,662,649,897,148,547,615,
458,506,825,492,796,481,376,249,415,104,810,324,898,408,094,111,246,101,735,
760,170,543,493,506,336,300,074,660,925,995,720,814,243,075,911,186,978,475,
634,585,075,024,692,208,909,772,804,480,362,429,206,855,467,735,616,615,913,
271,545,218,727,536,606,676,866,721,781,974,278,698,057,434,787,819,828,024,
307,644,552,558,895,578,351,043,882,433,428,613,083,516,620,323,957,365,576,
981,885,276,523,132,576,384,800,236,587,084,324,224,103,416,266,783,619,024,
046,289,522,853,223,424,149,771,456,642,461,663,653,246,278,255,751,968,381,
463,386,362,012,561,237,412,876,957,068,841,989,237,019,020,995,511,844,704,
975,684,755,738,212,488,291,741,860,723,116,330,580,413,115,080,439,110,679,
404,695,763,340,952,468,977,912,503,388,036,557,462,503,030,797,303,076,199,
350,972,307,869,966,792,560,782,344,835,799,858,730,849,385,937,439,058,731,
295,432,790,402,382,090,691,360,314,374,765,472,525,718,765,932,659,880,078,
550,879,830,955,647,242,195,938,145,767,260,603,628,219,282,352,606,008,840,
425,333,123,239,512,577,504,063,865,596,922,898,993,454,073,766,260,943,771,
593,221,797,803,114,893,174,955,646,577,397,781,503,283,726,879,658,354,967,
567,573,852,009,873,939,289,143,381,598,103,448,866,450,298,049,402,348,705,
531,136,641,215,823,209,947,273,524,362,878,984,307,713,404,064,280,755,949,
435,825,483,813,409,839,338,599,645,491,429,033,995,191,457,759,882,134,164,
274,841,465,460,603,044,565,325,637,760,303,961,587,590,141,214,515,769,053,
901,347,629,100,852,668,219,160,508,383,172,938,416,804,765,259,128,160,114,
075,787,650,661,521,510,311,208,174,074,735,048,718,984,462,554,959,686,116,
457,845,287,699,136,840,909,245,094,853,829,983,087,650,185,788,661,334,205,
491,007,041,128,341,619,376,134,234,066,147,880,294,802,288,290,217,396,348,
824,558,289,827,028,561,495,899,704,015,774,410,148,244,201,746,349,949,048,
946,600,233,105,404,909,819,867,452,017,556,616,094,341,210,403,847,137,087,
635,256,285,550,125,524,099,241,916,412,765,611,349,278,909,519,552,863,377,
342,330,160,278,207,289,056,812,223,115,970,225,526,683,324,841,782,941,588,
143,224,654,171,856,439,488,022,460,115,134,478,919,997,945,467,918,516,888,
434,396,800,727,739,839,042,331,877,187,918,767,933,106,815,367,138,615,452,
569,871,867,027,485,705,151,130,277,559,201,729,352,230,194,947,968,390,386,
985,872,358,205,170,068,205,759,087,312,247,317,112,656,926,284,219,611,090,
536,186,527,891,654,303,937,679,769,752,544,437,015,200,317,555,870,390,857,
314,164,639,795,114,150,893,276,460,321,841,521,550,837,116,795,863,434,228,
785,142,587,092,040,419,864,210,558,940,686,886,651,088,891,560,401,605,321,
393,092,457,506,684,716,928,652,870,885,559,517,264,925,290,968,048,296,230,
444,337,724,769,297,670,710,690,304,193,033,924,347,590,803,727,049,764,872,
387,579,473,561,363,954,569,462,102,650,274,328,420,162,777,145,972,106,511,
297,095,927,448,205,018,894,635,040,035,333,763,864,575,646,181,777,123,140,
328,977,900,648,396,741,773,017,228,203,126,011,398,195,006,116,715,183,564,
164,664,210,493,869,858,711,298,698,842,096,122,381,106,441,189,272,504,088,
301,285,206,570,511,182,045,019,325,468,412,357,111,220,957,456,055,498,436,
898,795,415,537,779,014,611,349,109,553,774,650,215,406,742,214,987,337,595,
631,539,667,534,346,613,283,292,130,172,521,399,367,969,077,577,070,866,752,
956,444,929,686,400,680,707,722,630,465,759,418,253,649,252,923,975,647,026,
598,477,309,409,506,758,436,423,001,372,589,281,971,806,275,341,328,156,679,
407,739,393,328,481,317,626,489,458,667,152,849,186,278,462,978,257,553,030,
477,707,229,935,626,317,871,607,817,067,073,252,689,450,117,774,883,965,454,
643,294,252,397,607,196,785,714,292,419,422,808,997,468,404,444,584,750,892,
070,407,686,466,241,746,263,907,145,710,633,415,635,475,438,882,124,060,005,
349,140,923,911,251,993,471,984,518,892,637,514,283,062,185,433,509,315,410,
432,533,923,786,555,918,891,453,541,290,202,258,122,534,988,474,334,455,545,
193,861,249,072,324,883,987,967,967,556,124,208,850,337,960,092,931,602,019,
137,923,519,340,751,195,602,238,992,088,294,738,646,902,085,274,358,508,665,
761,521,692,934,434,383,258,338,450,138,859,087,400,202,909,329,864,615,398,
394,859,973,109,960,985,132,395,432,981,352,048,242,952,277,179,478,827,395,
026,950,940,888,629,832,878,817,143,232,605,189,755,627,939,341,351,232,911,
739,372,200,553,271,653,331,499,269,087,369,943,498,559,952,513,904,910,735,
291,495,877,437,969,857,413,365,511,353,476,515,231,942,536,237,900,931,914,
139,905,043,759,117,952,478,658,623,106,838,618,748,148,588,211,788,509,186,
747,806,213,426,314,052,766,139,613,699,885,856,355,254,496,020,130,214,639,
098,715,420,823,998,298,399,099,771,475,841,377,474,308,516,596,238,223,427,
336,726,290,052,984,403,344,711,771,043,597,171,851,087,705,315,292,464,122,
750,753,860,241,048,645,895,710,144,722,704,030,516,114,108,405,258,939,191,
555,167,368,919,147,396,406,839,701,440,195,580,565,514,030,123,375,823,331,
657,939,424,828,787,028,359,922,896,756,984,818,388,091,305,669,691,602,432,
619,991,568,392,659,357,913,477,650,139,846,766,914,735,777,656,565,417,446,
568,465,214,544,987,526,732,364,157,773,399,309,393,268,245,180,958,463,586,
052,677,623,332,939,966,309,408,564,982,433,020,155,212,595,166,364,108,243,
889,750,600,991,488,999,293,493,385,178,635,721,246,203,664,094,699,681,777,
038,223,987,902,437,806,372,050,809,703,003,392,865,298,854,208,841,911,787,
102,063,971,144,480,042,050,017,987,348,804,577,741,375,514,005,511,695,160,
273,206,592,572,721,662,103,418,822,067,169,353,704,843,659,052,862,646,931,
357,383,659,405,249,469,611,950,963,243,854,940,604,871,709,977,950,612,541,
953,268,642,031,482,307,035,490,817,044,107,197,205,983,059,102,293,541,611,
563,733,786,369,361,291,091,291,601,504,811,219,381,064,336,053,526,747,577,
838,240,065,136,103,634,169,776,979,649,197,324,414,393,297,454,156,667,403,
878,473,316,094,099,089,963,465,388,020,546,915,400,774,968,904,475,537,331,
029,222,856,162,498,462,400,885,602,192,695,228,330,539,867,217,578,004,730,
943,426,590,673,102,436,506,976,455,793,609,162,405,459,079,343,392,551,981,
660,386,992,651,060,831,900,872,507,603,333,171,796,953,001,429,975,667,506,
581,658,512,751,655,380,792,780,353,205,987,681,347,206,971,984,383,089,317,
510,507,560,133,806,572,706,009,647,463,132,058,129,257,147,866,281,554,383,
867,782,679,443,337,764,066,404,420,035,377,157,915,147,959,087,731,365,634,
949,019,359,498,725,461,690,492,524,713,352,360,841,949,742,400,343,392,621,
119,737,191,020,114,840,161,661,798,885,369,853,471,260,979,548,278,615,054,
497,373,313,777,601,276,638,698,746,784,606,623,737,466,928,038,605,651,137,
756,107,242,966,030,269,620,504,776,605,736,957,802,301,395,689,123,289,449,
353,535,828,212,727,989,359,319,734,981,328,347,621,382,455,032,732,835,440,
249,364,458,456,693,905,691,255,924,890,465,320,005,982,201,531,216,746,149,
277,255,480,727,929,304,189,135,261,169,757,953,635,548,672,177,965,164,781,
624,175,492,610,225,334,225,083,711,612,206,047,365,850,110,677,814,620,842,
293,269,030,847,473,833,647,714,392,144,068,921,691,618,487,340,775,155,585,
459,468,805,287,559,097,776,307,203,673,921,994,289,012,342,171,288,995,801,
707,549,558,037,961,954,442,303,085,768,288,748,702,124,600,734,582,627,954,
248,573,395,223,078,671,093,069,976,902,612,364,894,019,910,494,931,161,231,
356,694,410,023,716,083,094,078,048,954,160,710,827,330,345,447,727,328,866,
727,561,937,035,990,132,801,318,958,216,162,625,354,461,158,614,615,239,029,
889,559,569,696,862,541,189,605,613,328,158,264,828,443,692,791,978,182,613,
919,275,088,129,840,105,633,638,165,807,987,941,969,589,160,241,613,136,259,
367,937,175,386,153,416,026,895,784,465,157,941,394,613,990,543,742,583,674,
069,792,589,218,710,336,326,462,158,969,711,796,639,616,797,905,370,072,033,
355,464,187,235,607,433,088,100,956,246,914,961,281,984,596,624,927,203,162,
577,164,682,664,804,452,977,957,246,963,218,252,165,143,299,630,117,322,400,
734,927,026,743,405,740,490,303,440,155,763,727,152,146,503,999,458,100,679,
256,772,209,692,655,019,066,043,490,298,541,051,711,632,693,005,431,402,577,
198,142,529,819,719,714,962,527,815,926,005,239,727,325,563,545,364,015,531,
525,557,313,960,048,112,650,400,709,823,239,985,107,094,683,440,407,502,809,
400,660,785,123,130,829,197,800,461,247,745,730,000,193,239,521,894,892,223,
426,209,369,770,487,476,919,551,349,637,710,854,402,905,842,501,301,721,622,
235,901,178,285,780,182,326,901,262,901,011,125,077,964,656,246,009,764,824,
473,083,064,388,767,323,282,300,924,268,345,583,703,110,381,214,338,014,722,
951,671,401,670,892,004,968,150,336,732,858,411,219,821,496,865,531,201,729,
348,928,152,998,028,965,907,695,213,221,944,428,897,691,072,509,366,984,081,
525,467,355,946,845,908,861,871,112,733,466,871,182,084,106,279,726,357,065,
118,047,729,077,253,143,791,678,198,306,214,487,823,526,216,645,513,392,257,
900,340,230,451,851,326,949,864,643,580,619,988,188,712,349,760,075,049,501,
374,121,336,510,626,867,502,572,942,754,523,912,574,417,515,909,954,632,153,
803,959,847,715,631,961,362,290,934,342,220,207,081,795,231,735,705,295,197,
471,950,659,901,740,917,213,181,995,379,456,028,170,136,519,591,195,340,086,
554,911,758,151,594,880,490,151,131,501,446,018,891,893,809,318,919,983,008,
597,760,669,055,838,393,876,050,910,440,822,908,629,333,294,184,040,106,289,
456,625,694,642,266,882,089,568,046,424,551,498,743,907,626,239,131,218,100,
539,510,563,477,648,669,095,556,699,142,262,117,285,407,695,249,229,818,550,
551,849,342,289,127,667,238,699,527,443,847,333,877,428,110,412,559,420,972,
295,125,983,299,745,707,355,434,938,161,057,234,732,938,492,492,006,648,359,
440,197,719,962,800,624,783,785,853,086,867,192,146,826,613,662,904,320,374,
578,770,723,176,525,964,461,973,387,121,899,081,172,328,268,625,575,398,119,
302,807,543,431,444,520,495,576,481,855,329,975,682,854,183,772,560,810,807,
276,974,374,900,369,199,469,444,939,344,050,098,852,498,286,234,850,697,276,
418,102,542,478,265,375,424,958,056,091,473,457,364,984,415,961,762,135,975,
839,682,130,560,826,282,101,227,184,949,077,235,856,769,940,593,359,837,523,
200,798,780,963,508,556,657,100,571,871,300,724,860,582,668,558,164,780,400,
801,051,714,390,898,647,632,402,608,217,696,174,614,305,784,772,100,622,799,
189,647,630,301,573,443,030,025,781,988,650,580,985,077,575,449,839,700,614,
099,448,876,001,132,086,741,772,977,111,676,290,660,659,131,929,804,639,760,
870,443,388,607,650,208,617,871,444,332,191,180,204,707,338,517,807,036,389,
553,339,328,874,487,464,286,592,327,567,520,440,348,599,979,482,686,154,060,
285,000,660,822,979,188,579,492,396,137,612,580,971,441,424,277,435,796,462,
734,433,346,416,400,038,660,960,621,781,288,241,913,595,268,990,757,150,569,
944,550,774,025,297,952,200,544,167,477,889,085,299,022,384,258,413,281,766,
641,507,672,351,041,008,641,025,514,922,023,406,583,081,606,828,239,610,049,
169,740,289,555,844,321,224,791,132,799,124,443,344,241,727,533,148,975,814,
675,058,617,685,917,476,754,566,478,786,928,011,259,557,394,591,276,633,321,
529,063,462,962,267,462,922,332,535,462,950,679,939,347,330,965,685,712,157,
415,306,124,828,827,082,174,577,583,574,218,163,644,050,990,482,787,753,600,
253,918,207,703,758,389,198,224,926,968,251,452,695,603,361,262,009,020,825,
873,028,401,117,573,043,921,205,691,086,861,504,091,420,391,402,022,297,364,
576,999,062,320,289,351,462,225,062,835,685,547,672,590,534,805,163,164,816,
992,912,379,601,014,876,044,787,962,177,342,641,217,660,421,133,327,205,676,
411,328,109,924,443,271,957,075,707,702,035,547,924,975,751,881,411,497,631,
016,940,035,221,678,531,363,360,391,440,292,196,375,464,420,140,976,590,613,
733,614,042,230,876,272,660,505,622,545,700,453,121,844,733,336,493,420,599,
794,831,992,811,982,122,376,291,116,362,837,612,253,086,631,493,405,425,499,
292,544,513,691,452,348,284,270,997,185,486,381,464,613,431,822,507,251,396,
962,437,400,819,851,265,933,545,309,689,159,380,300,304,006,973,267,737,592,
297,318,458,064,786,737,407,779,360,508,262,682,901,425,042,685,962,067,694,
545,799,102,017,436,011,752,259,459,055,436,632,275,544,146,554,226,003,729,
344,306,323,874,326,623,990,801,985,247,104,266,628,755,246,773,482,671,353,
819,196,222,144,250,406,443,985,045,394,449,223,083,659,350,779,549,048,346,
738,833,299,592,851,466,901,095,748,169,542,995,744,029,290,857,629,187,363,
814,259,680,066,460,727,248,131,616,412,835,907,207,617,400,235,422,832,717,
773,710,213,024,972,428,499,487,574,632,318,432,800,059,469,784,597,992,794,
947,914,122,456,366,166,467,785,046,422,174,476,028,267,515,310,986,772,164,
883,776,252,961,523,692,717,621,294,102,227,318,742,557,257,525,351,632,936,
553,350,750,104,466,327,703,229,500,603,959,911,978,601,188,076,840,642,019,
082,599,531,058,338,166,091,530,163,916,148,436,210,988,238,653,666,023,071,
142,158,475,339,716,061,247,058,830,932,754,010,986,608,401,154,801,362,538,
828,825,987,322,157,466,693,160,946,890,967,482,069,659,980,201,458,871,513,
937,520,898,968,403,196,367,599,716,222,541,961,208,301,137,484,723,293,942,
963,593,430,281,932,323,976,913,214,189,041,546,386,336,712,685,537,741,146,
457,106,627,683,373,454,434,176,918,000,156,444,118,401,488,943,007,011,931,
162,661,605,218,749,590,361,950,335,228,711,224,044,713,840,472,203,977,531,
459,656,334,264,527,475,381,989,910,805,066,662,787,934,813,203,062,326,968,
686,438,893,114,481,627,783,991,911,010,716,974,390,928,513,769,141,016,378,
863,837,672,710,259,592,328,854,597,111,213,554,329,425,409,064,696,249,649,
222,852,135,990,483,769,904,891,067,666,541,250,355,586,994,327,931,171,155,
262,887,774,221,334,136,362,941,967,334,431,450,508,451,807,515,417,177,339,
718,549,911,299,130,946,601,263,704,819,480,504,702,797,793,343,412,012,552,
710,092,276,530,646,085,843,740,602,449,929,507,426,197,650,521,964,971,088,
956,118,960,862,294,769,908,088,977,027,725,733,645,560,324,921,828,947,516,
967,654,555,872,442,394,964,137,033,779,151,474,571,630,657,862,845,254,324,
719,363,502,426,179,203,787,834,846,013,676,780,513,344,987,483,104,278,214,
361,121,551,154,269,446,104,855,160,228,440,537,161,480,415,061,620,785,931,
109,701,578,882,691,047,541,077,823,965,087,930,471,271,234,992,021,863,873,
370,922,504,645,910,798,331,544,964,468,958,873,319,638,103,036,090,876,298,
575,294,295,170,753,051,228,375,742,154,972,247,964,991,409,964,127,113,859,
718,740,427,974,371,055,439,204,883,874,157,547,391,682,924,533,308,562,949,
872,677,252,402,309,451,792,776,704,497,585,780,881,178,706,541,627,755,094,
675,245,437,793,006,693,657,573,674,345,128,420,516,095,821,651,535,719,105,
537,147,045,261,915,744,594,781,294,322,749,105,450,686,445,572,996,468,223,
328,926,594,442,852,729,713,481,595,215,489,944,242,919,901,848,640,382,020,
975,136,773,349,669,264,423,197,150,548,338,193,771,246,090,274,895,334,951,
544,278,343,663,549,626,522,384,212,019,974,196,424,916,878,044,984,443,975,
375,022,406,887,468,204,719,565,823,395,265,449,294,802,200,064,214,319,980,
412,344,040,414,184,040,088,175,361,452,351,351,034,896,106,686,716,486,797,
937,726,119,486,657,018,914,884,093,210,579,115,783,063,557,668,788,945,727,
492,389,574,019,281,749,600,438,688,214,545,838,621,981,074,543,628,366,009,
823,370,368,349,146,435,244,883,633,892,997,892,109,260,864,365,834,569,333,
778,478,374,865,440,571,831,247,765,940,192,994,562,806,501,022,230,046,876,
188,251,497,846,109,699,948,681,469,985,060,146,499,479,543,278,104,643,116,
613,469,873,304,409,957,770,165,867,342,699,243,764,102,794,271,651,081,657,
699,644,941,817,342,816,934,212,229,349,703,818,152,155,625,956,635,303,031,
080,946,744,540,187,808,176,298,162,961,612,087,222,303,369,589,635,997,713,
677,164,108,232,910,409,136,063,218,596,342,086,077,449,304,247,995,100,396,
546,380,767,532,400,291,949,003,132,709,045,706,200,210,746,606,766,151,061,
844,699,127,321,625,173,848,484,046,686,880,448,464,646,767,124,045,644,348,
341,086,542,596,860,630,277,555,065,556,094,424,432,677,838,577,565,326,216,
948,472,945,521,515,653,663,320,186,050,220,913,981,736,306,358,808,561,394,
822,869,198,212,600,054,860,141,043,369,689,163,825,905,703,104,690,483,634,
358,911,906,953,342,754,767,408,989,519,349,182,484,524,800,241,877,049,864,
117,931,006,544,044,771,865,631,922,518,018,036,124,539,232,519,978,006,367,
231,701,264,975,749,452,180,826,366,066,811,323,260,525,066,386,732,351,747,
679,296,533,794,771,397,662,646,910,970,230,803,491,467,568,288,927,967,995,
181,338,414,036,610,605,193,884,538,781,984,459,501,598,704,006,116,988,171,
611,915,928,053,224,228,905,862,828,362,111,139,095,214,474,875,144,365,293,
487,627,495,354,478,122,116,823,176,019,762,959,394,567,895,840,643,719,227,
523,530,368,427,823,423,289,443,311,466,435,889,340,554,381,979,654,453,764,
132,091,592,102,740,269,423,737,190,795,114,093,875,143,696,993,801,823,841,
516,081,799,704,140,932,854,534,589,998,254,472,152,438,377,437,865,961,888,
363,129,174,372,894,995,123,481,782,394,160,671,620,665,765,990,113,493,609,
006,239,326,810,612,147,670,124,937,723,962,073,130,204,664,859,145,323,919,
447,911,758,856,797,739,989,778,098,130,072,054,186,812,236,533,185,738,910,
443,162,918,785,125,097,416,632,535,298,064,437,055,755,339,562,272,593,458,
038,918,904,751,486,638,534,086,841,492,449,642,612,827,765,679,772,609,265,
613,894,048,092,529,632,339,921,391,681,422,048,408,260,772,386,525,474,868,
779,033,835,945,070,100,161,060,571,318,255,106,599,148,074,582,103,049,102,
389,828,925,291,470,212,461,615,296,668,362,497,609,618,611,504,395,539,525,
382,833,491,632,848,443,320,568,049,265,729,651,168,086,773,023,709,457,428,
176,918,217,170,055,973,032,645,118,851,197,208,019,953,905,210,065,297,342,
990,918,007,958,617,710,169,461,189,292,280,811,588,978,233,905,695,410,086,
044,075,461,883,230,981,129,158,568,359,976,776,127,443,605,809,891,125,072,
470,215,871,412,975,241,265,452,888,254,328,972,645,167,484,474,066,398,770,
719,852,371,552,077,925,289,585,167,034,212,140,969,737,485,437,543,147,826,
065,427,703,429,571,714,816,320,987,717,265,632,745,537,281,728,452,790,089,
456,278,881,824,681,645,635,580,655,357,343,364,500,762,156,422,559,484,256,
979,687,670,253,413,337,451,281,888,662,089,965,752,008,077,181,673,373,768,
178,549,409,394,446,810,264,818,633,670,988,253,985,436,933,211,876,986,456,
585,466,181,612,746,083,281,669,142,284,005,370,783,358,698,570,048,921,704,
752,210,910,940,404,340,670,718,965,206,426,294,429,766,388,678,209,918,035,
239,863,193,845,259,106,889,897,905,252,349,006,682,960,974,541,615,413,102,
584,715,176,826,979,001,360,808,070,580,281,075,650,732,394,769,429,245,372,
810,329,724,082,178,379,887,327,131,229,806,516,776,164,329,528,213,037,640,
169,256,030,625,820,455,371,464,830,476,922,797,055,286,407,600,492,634,892,
558,558,334,640,870,668,853,131,456,978,044,963,213,436,345,288,216,707,979,
845,923,175,915,028,693,687,522,614,580,090,770,311,830,679,207,562,572,298,
124,869,256,386,580,413,149,293,568,623,052,151,096,298,173,287,133,784,697,
621,365,350,747,793,018,637,458,152,211,441,291,972,385,169,262,718,695,118,
925,910,896,126,329,445,052,904,882,839,520,822,129,564,868,434,684,956,731,
192,614,579,440,803,436,217,064,013,529,163,135,749,415,051,685,159,065,758,
680,156,852,507,258,072,046,553,841,725,454,949,047,363,841,607,940,185,873,
506,998,844,462,729,750,752,849,935,661,814,925,805,979,116,197,922,448,536,
033,777,170,249,431,520,089,307,544,154,443,049,421,131,504,948,165,375,761,
136,354,611,163,378,126,739,851,487,186,209,216,226,401,764,472,245,579,691,
974,859,184,083,008,679,176,655,756,125,984,414,376,663,598,550,836,842,191,
754,718,144,732,323,613,615,578,164,271,748,118,025,042,327,953,790,736,784,
959,688,512,234,720,311,573,568,066,493,365,681,472,816,052,862,811,180,523,
139,232,204,879,493,084,385,449,748,186,969,757,466,120,319,222,149,869,524,
786,614,704,470,289,685,669,688,785,653,946,106,808,432,847,276,532,948,595,
786,374,311,321,955,345,188,914,047,479,757,261,068,769,494,866,968,672,528,
319,532,246,240,358,018,661,221,738,628,718,015,635,340,866,246,832,047,428,
471,733,858,518,010,117,094,952,058,231,802,642,659,081,552,143,056,526,071,
963,298,506,835,705,638,988,110,116,779,038,670,084,738,992,416,625,169,375,
819,062,349,125,604,870,047,511,209,968,384,506,094,644,978,545,566,645,026,
071,668,158,314,268,790,472,540,353,801,247,848,346,082,041,940,225,375,988,
406,586,001,545,610,632,546,331,601,245,719,978,863,205,343,775,075,393,999,
412,194,566,054,392,982,086,071,882,987,009,738,559,286,890,429,409,282,007,
063,844,219,262,915,992,621,417,141,147,955,146,853,164,244,635,471,264,051,
275,169,760,113,972,227,808,831,287,312,760,034,615,335,592,910,210,291,662,
657,683,764,920,525,403,973,064,685,841,553,992,040,586,756,248,830,382,516,
540,322,144,340,004,053,052,098,301,807,667,705,591,032,949,621,887,354,371,
027,013,342,380,089,281,016,399,817,981,105,655,112,886,220,096,797,640,134,
010,113,492,041,891,444,178,554,155,131,268,048,360,992,993,178,060,478,044,
642,232,303,059,257,363,340,128,128,838,641,862,173,774,489,963,582,026,306,
996,890,209,821,521,694,183,875,869,802,690,496,593,137,673,573,786,523,387,
221,002,735,181,541,431,400,586,903,598,551,793,193,754,777,592,119,827,939,
706,450,004,923,807,475,676,909,246,697,903,997,876,096,603,232,078,145,972,
640,537,616,457,846,849,462,397,223,423,029,791,697,828,967,322,784,696,065,
591,485,053,354,233,088,327,188,239,260,937,624,067,486,686,517,787,860,525,
782,058,246,530,938,313,981,091,481,495,105,662,361,511,151,659,579,254,894,
617,603,973,912,302,426,107,982,447,370,026,562,194,139,102,187,002,691,659,
727,901,844,098,066,716,313,186,903,199,959,001,753,189,565,643,693,609,385,
378,552,897,142,211,715,108,299,789,039,543,483,714,545,769,902,283,827,540,
147,573,181,484,777,414,202,446,841,776,332,189,206,790,035,886,341,524,692,
415,630,186,166,932,126,342,555,594,129,702,012,988,256,100,112,367,201,460,
467,468,394,554,242,205,640,708,386,677,851,638,970,914,033,818,501,053,423,
302,267,835,580,070,974,316,223,940,551,672,434,096,160,329,848,025,478,670,
679,512,361,780,513,496,031,870,794,710,142,677,184,147,368,610,067,447,041,
962,370,330,314,014,883,928,562,833,577,244,860,210,262,839,067,151,095,795,
635,718,578,958,169,266,911,155,149,582,026,652,062,605,512,535,908,316,276,
063,878,931,603,969,944,970,543,424,003,221,838,821,005,661,533,641,044,259,
459,342,599,136,389,752,079,463,837,063,926,634,833,476,908,195,749,963,585,
318,614,106,477,782,650,693,378,902,497,535,935,088,620,045,097,452,978,866,
125,078,716,035,028,707,872,246,554,139,155,360,855,358,827,711,677,236,913,
509,976,260,804,650,872,183,405,639,036,084,681,156,650,055,725,048,679,809,
823,738,752,142,972,673,831,512,868,323,077,704,284,408,857,346,693,960,016,
721,756,639,184,490,812,429,577,647,435,130,219,264,697,017,203,509,371,125,
312,377,656,919,056,087,626,867,935,987,309,747,573,977,189,188,673,681,990,
090,479,150,698,204,763,151,318,631,599,169,509,624,115,744,982,472,853,611,
903,228,918,266,720,646,749,538,518,507,004,129,303,402,473,419,502,585,321,
465,354,999,113,324,220,781,632,450,736,084,222,924,065,801,546,344,879,930,
225,972,986,187,968,636,478,833,785,705,344,515,756,584,844,119,419,982,451,
906,348,377,262,698,496,900,002,283,475,328,878,722,739,551,676,055,372,043,
847,683,376,231,028,318,251,179,900,123,062,210,700,219,258,497,207,847,226,
044,907,415,665,812,979,860,321,479,808,783,245,423,767,483,561,118,262,807,
396,954,804,343,265,360,927,275,722,714,792,235,316,074,725,298,325,333,595,
794,758,916,524,738,642,354,054,566,294,049,336,820,759,174,457,440,995,077,
859,639,113,915,000,692,328,442,324,374,589,998,340,531,832,914,964,483,472,
192,132,743,820,430,792,190,649,586,540,515,512,223,649,627,942,980,868,859,
133,649,192,073,706,544,514,591,975,779,373,574,485,802,017,488,512,728,402,
267,110,687,518,169,407,737,470,898,854,224,190,537,924,330,847,789,031,454,
768,421,745,899,500,872,672,708,176,774,030,316,182,523,602,823,971,263,477,
904,723,342,509,661,225,150,634,409,744,717,794,559,873,798,535,631,742,256,
966,583,407,955,894,660,965,290,005,447,540,374,701,408,583,441,160,809,374,
560,449,606,919,629,268,728,094,060,642,833,755,215,064,691,283,391,961,058,
965,141,489,245,216,663,733,079,281,752,345,902,533,837,886,709,386,263,890,
350,965,591,968,912,402,813,107,760,592,743,740,536,499,495,184,313,711,062,
655,969,117,159,455,950,495,677,275,996,782,266,813,024,900,947,819,861,997,
037,332,090,825,769,782,733,855,501,327,777,977,178,915,191,547,488,966,235,
183,604,486,497,635,659,777,723,173,624,458,553,236,807,908,289,056,507,766,
833,246,300,322,494,974,377,445,942,713,236,672,530,641,450,499,169,778,870,
574,887,910,263,194,972,018,461,475,027,426,595,587,502,258,166,597,209,528,
558,940,156,376,272,404,974,282,654,406,813,294,423,678,513,021,626,715,829,
157,979,907,480,392,445,887,159,779,161,137,285,209,420,762,633,755,316,363,
057,500,189,838,690,409,289,727,926,520,304,525,691,983,930,054,711,518,373,
445,438,830,027,727,625,270,540,723,389,645,871,338,832,572,593,815,179,637,
440,971,025,690,805,055,238,403,753,963,554,366,073,912,911,084,879,155,758,
949,106,404,600,178,924,638,836,459,389,476,920,235,843,394,321,647,225,597,
979,350,681,471,842,090,554,701,992,670,052,170,564,752,588,050,044,224,743,
046,332,047,613,164,560,802,273,505,313,435,864,488,055,520,805,526,366,654,
292,434,788,066,999,188,379,300,729,062,815,360,608,594,778,436,023,388,467,
714,374,176,602,736,680,830,492,975,697,298,619,361,654,902,339,572,657,448,
075,953,819,386,647,606,895,534,319,007,352,865,724,111,458,375,508,923,015,
401,470,343,391,384,218,764,299,149,685,245,115,712,435,798,776,783,130,477,
082,657,002,791,645,782,552,750,113,769,794,694,848,335,667,684,076,538,885,
036,591,393,041,029,098,071,976,509,112,321,238,545,831,203,837,665,895,862,
162,146,865,484,361,683,914,796,104,910,749,162,592,006,376,440,729,878,455,
302,021,642,231,860,903,635,602,360,412,371,812,074,345,130,750,812,023,491,
234,331,921,670,832,716,235,236,921,904,398,840,547,924,337,996,803,694,409,
862,030,160,186,990,434,426,478,433,216,102,685,185,797,087,350,272,476,176,
428,829,987,805,532,374,265,229,644,230,866,740,141,424,828,241,560,885,713,
652,722,698,808,443,347,750,453,716,129,892,565,443,411,685,941,605,792,160,
865,442,703,698,182,366,905,052,015,336,404,098,897,125,236,979,918,675,555,
860,539,502,023,288,650,248,746,294,291,022,654,633,152,550,094,457,284,507,
831,146,372,017,205,378,465,780,116,076,878,328,656,562,833,928,108,667,542,
345,293,809,155,981,252,655,634,063,045,286,780,404,848,290,844,939,807,977,
919,387,701,781,966,074,223,998,329,638,267,517,688,904,206,172,120,834,503,
217,100,250,052,247,077,991,167,329,613,667,672,252,006,477,576,475,541,064,
714,553,207,511,798,852,442,694,327,572,007,694,310,945,185,254,645,262,840,
070,006,931,037,921,928,302,093,080,418,863,524,921,824,933,911,247,526,612,
801,814,875,940,143,477,359,928,187,873,659,978,120,144,336,509,911,725,472,
820,701,044,040,423,846,285,297,666,879,422,024,834,336,377,939,730,034,684,
791,240,722,064,988,240,962,570,518,904,096,508,330,235,654,345,186,885,071,
498,297,998,457,893,859,622,994,444,032,683,518,442,122,884,288,973,455,002,
732,076,057,750,312,809,771,370,242,036,967,993,725,917,877,695,615,228,056,
737,543,319,871,460,602,425,928,746,260,088,828,585,543,739,461,784,468,824,
714,493,973,868,807,179,929,081,802,291,802,127,120,105,358,193,724,966,659,
246,818,460,835,231,228,365,098,884,063,819,126,985,574,456,853,464,421,247,
516,458,535,161,525,179,465,077,897,502,785,399,340,443,573,270,160,469,107,
716,543,385,979,618,125,202,684,877,685,091,272,672,469,789,808,885,635,700,
584,184,851,631,825,435,082,870,390,231,282,084,387,413,668,648,256,238,971,
037,073,282,777,712,200,388,510,035,790,027,733,159,345,244,828,990,835,536,
909,786,489,790,637,455,352,933,252,643,764,645,368,783,329,096,849,656,646,
238,888,998,284,568,008,703,554,976,363,624,245,181,306,528,036,513,242,715,
504,355,928,220,927,817,739,427,325,627,531,687,049,693,239,181,301,423,774,
653,338,896,385,082,152,090,858,716,459,540,469,388,998,592,159,308,068,315,
677,228,482,890,564,227,749,147,260,023,644,375,216,947,074,707,373,740,851,
789,611,333,041,478,310,695,168,694,762,919,405,415,259,030,662,604,827,641,
174,094,509,300,527,914,170,407,520,313,634,020,009,863,669,749,201,765,873,
411,721,792,191,818,818,675,469,664,196,250,129,630,552,428,865,800,211,422,
397,381,907,310,768,243,110,355,459,969,122,396,834,256,394,799,580,417,375,
346,457,179,182,330,175,533,872,107,762,863,037,721,631,043,893,428,566,207,
387,839,313,144,026,313,857,325,643,113,401,324,962,083,317,970,587,893,378,
621,347,705,552,254,384,121,482,438,388,920,556,103,742,487,472,296,889,982,
723,717,830,333,331,402,114,435,338,222,267,901,154,364,539,810,389,714,332,
670,111,242,727,980,131,117,878,136,093,165,424,973,974,782,084,263,932,751,
130,747,567,858,986,801,205,692,286,367,032,472,044,409,336,471,795,424,115,
978,601,283,569,122,031,401,009,976,302,609,060,267,579,870,642,608,387,164,
465,380,009,279,342,583,174,471,103,186,426,949,862,991,581,403,164,540,478,
651,740,636,239,545,824,547,847,252,345,630,375,672,375,962,275,567,342,260,
723,939,904,081,018,425,891,774,617,654,619,789,863,923,303,826,397,368,918,
798,970,358,526,950,406,445,688,210,622,096,533,887,093,826,384,393,779,442,
060,489,002,424,037,138,986,374,074,895,285,829,787,891,832,066,586,070,252,
082,521,073,466,919,574,629,350,108,088,055,636,015,189,833,688,498,683,601,
409,378,813,867,537,887,576,854,102,393,231,685,993,923,149,590,009,297,440,
775,425,073,627,181,051,609,769,422,981,915,849,034,298,138,171,504,990,081,
843,597,744,937,706,279,065,421,636,973,677,924,617,651,221,348,244,541,675,
987,564,169,694,845,904,423,834,709,436,676,863,926,460,588,403,588,685,500,
546,016,110,255,588,163,340,480,468,687,105,579,426,723,203,740,838,978,100,
466,572,915,053,224,984,860,760,241,906,235,347,963,450,625,760,101,708,959,
959,299,627,373,756,800,539,822,680,129,204,055,165,061,210,387,636,723,930,
244,871,874,561,110,313,902,658,496,458,814,524,619,086,870,989,061,718,928,
313,435,210,867,012,602,548,513,318,405,819,108,685,890,601,136,499,644,274,
266,642,891,956,463,396,223,429,506,416,635,114,718,300,964,522,178,937,158,
176,656,037,604,632,730,048,735,564,168,368,109,135,943,562,007,538,458,949,
689,000,030,104,374,947,574,247,514,101,146,622,518,055,394,949,912,544,066,
118,912,215,044,921,313,974,832,917,442,641,293,138,123,326,097,736,377,615,
319,800,032,278,748,525,843,748,171,701,465,835,513,552,917,280,979,418,786,
051,309,056,078,553,414,049,876,340,722,955,575,740,682,682,339,488,707,465,
606,434,699,418,276,566,418,996,315,318,945,094,064,749,875,115,501,540,932,
421,846,806,401,184,327,699,559,329,943,060,607,507,690,262,458,506,930,952,
602,044,362,345,543,089,825,285,963,016,740,459,319,206,851,824,525,751,782,
862,565,370,083,053,125,563,710,149,467,680,119,114,451,766,412,124,512,412,
136,897,117,855,251,870,018,858,015,194,221,262,169,362,900,560,492,752,628,
581,051,657,084,125,227,217,503,774,970,439,261,337,918,755,322,981,371,584,
909,279,930,887,882,363,301,673,016,211,204,886,454,885,670,967,927,776,170,
163,411,598,440,564,926,187,083,445,029,537,484,786,271,483,784,819,563,560,
016,000,374,471,283,567,487,449,278,005,595,307,361,517,283,941,062,716,243,
442,824,284,972,106,677,697,250,177,680,036,117,859,377,699,779,412,546,419,
271,100,188,176,240,771,078,631,979,805,481,999,003,916,211,829,881,828,543,
074,157,399,290,074,910,071,525,268,931,418,054,696,196,504,342,022,944,592,
932,062,747,611,472,806,542,834,078,512,186,736,621,224,800,722,690,887,416,
204,258,821,494,871,620,509,478,456,711,221,420,103,077,214,880,898,729,576,
060,574,725,008,894,398,468,189,611,138,281,879,291,384,059,714,577,408,830,
213,042,652,645,966,556,957,773,565,881,469,640,248,379,028,899,369,216,544,
143,581,362,606,748,615,360,707,772,437,625,879,171,373,219,490,112,279,866,
169,469,300,275,910,081,076,119,725,680,674,968,048,254,322,674,048,223,434,
169,276,076,246,497,303,432,198,811,940,014,647,970,971,162,383,634,803,011,
519,847,390,800,547,683,180,809,899,461,516,363,706,867,984,290,683,273,666,
877,036,657,372,718,389,493,253,662,734,663,069,777,345,155,703,813,706,088,
349,628,526,505,963,406,126,071,788,889,512,513,074,290,910,540,606,903,496,
750,425,055,632,146,602,116,646,511,784,413,882,030,936,153,768,782,616,255,
585,275,890,157,254,548,796,031,697,609,825,073,839,953,383,529,907,501,905,
010,587,952,111,808,763,310,292,808,963,891,448,008,840,641,965,334,802,555,
444,814,116,387,897,054,617,259,719,508,452,298,516,199,717,705,942,030,315,
201,385,976,268,913,099,135,427,040,334,546,485,596,477,525,969,767,581,100,
333,214,884,024,126,266,788,368,052,425,475,291,952,091,787,313,423,184,133,
940,193,869,053,835,106,706,206,143,467,219,317,323,451,107,569,985,380,991,
372,499,072,389,143,585,151,200,084,628,618,069,403,905,788,530,225,209,196,
986,226,502,341,455,296,029,842,508,250,192,554,482,975,968,646,836,429,102,
595,750,869,252,353,031,243,217,699,802,977,154,119,329,029,759,905,535,409,
469,557,369,088,595,557,703,565,836,278,238,200,739,892,657,997,326,767,116,
962,471,101,318,338,805,345,645,074,072,739,709,028,496,576,187,131,981,983,
307,360,358,463,767,402,055,507,683,068,250,176,305,670,231,133,831,391,361,
738,301,624,042,227,879,571,764,194,445,985,169,143,422,838,678,533,963,251,
123,335,545,318,831,100,108,055,883,293,629,319,126,007,859,554,515,307,323,
529,646,105,346,088,221,620,787,463,100,101,001,759,595,297,699,478,640,151,
695,152,346,486,296,386,241,843,682,858,151,574,907,668,848,136,148,219,114,
681,297,178,835,447,600,220,604,516,528,759,734,937,841,498,875,549,449,764,
346,124,748,530,510,333,778,552,354,979,759,311,248,143,136,774,186,696,918,
153,259,701,247,783,722,354,154,040,294,573,772,898,392,460,580,656,439,212,
232,014,936,400,537,932,168,903,584,934,587,033,761,459,813,756,043,047,853,
908,822,842,829,592,327,510,278,485,162,615,108,379,244,228,478,465,762,579,
499,300,218,584,292,033,794,955,842,443,005,160,470,901,815,549,989,883,447,
778,420,433,319,432,304,675,194,303,906,944,187,335,738,177,386,777,051,193,
907,380,618,224,797,769,208,419,377,228,335,626,913,261,109,400,302,225,929,
086,932,295,271,765,982,996,780,100,508,571,137,687,230,726,497,851,368,760,
089,828,132,670,892,527,811,860,499,263,167,064,154,953,648,327,674,675,682,
005,189,306,506,554,080,922,170,852,801,498,204,215,557,862,330,675,961,967,
608,331,022,926,693,937,077,667,217,690,945,356,353,527,466,977,445,776,954,
733,930,844,505,682,781,978,863,289,128,693,639,400,970,116,923,307,758,090,
550,441,165,879,374,658,206,107,554,960,126,145,786,770,006,639,792,605,552,
781,000,369,532,354,084,332,004,161,845,922,323,652,759,520,763,758,509,518,
077,356,117,820,729,799,496,818,783,321,909,284,980,833,914,353,018,234,457,
452,041,614,970,547,804,298,337,587,394,823,808,078,021,636,190,874,488,736,
723,951,924,951,320,350,697,791,127,853,482,727,632,957,351,553,524,104,757,
903,700,154,191,509,579,668,311,922,676,197,067,128,988,968,616,909,816,049,
659,604,732,864,605,466,237,463,427,428,492,637,406,147,416,560,296,825,950,
206,805,523,564,387,467,981,362,957,680,605,751,527,115,627,037,352,118,161,
637,506,724,544,931,747,027,468,815,894,005,979,301,278,509,108,805,228,524,
579,640,076,656,794,523,117,516,399,179,742,661,579,794,595,048,458,287,524,
446,655,455,678,747,787,221,080,136,458,618,061,104,079,787,190,581,309,306,
635,741,609,403,343,121,286,325,891,768,997,608,965,986,255,303,489,920,052,
353,580,994,898,947,473,074,356,716,993,916,976,351,691,151,266,333,629,566,
619,390,729,997,525,519,064,770,075,611,480,233,524,893,706,023,361,344,588,
379,525,986,185,453,137,683,699,859,694,783,825,396,565,518,898,540,365,618,
575,686,413,174,008,015,576,129,636,257,167,439,947,453,413,699,204,929,894,
515,123,241,221,624,285,758,439,979,526,230,349,616,987,789,355,027,727,865,
301,177,001,424,651,631,072,322,040,380,880,248,455,954,785,760,958,999,474,
653,755,755,723,685,948,241,367,324,895,935,535,782,986,949,868,838,402,470,
249,010,782,666,610,577,299,857,330,589,818,856,847,384,575,327,559,839,949,
686,077,154,096,955,784,911,528,352,854,656,158,819,587,815,758,463,999,633,
640,220,823,305,842,167,115,582,848,193,143,588,956,118,305,575,047,962,322,
385,582,701,479,433,945,792,266,730,883,507,920,681,228,182,013,125,430,953,
714,350,867,522,035,616,626,170,484,420,269,678,431,299,485,566,096,422,798,
234,741,612,428,249,548,306,817,531,555,513,178,367,589,507,390,210,665,174,
242,708,780,777,490,717,489,134,431,969,912,896,822,811,176,827,489,743,562,
754,174,934,647,267,763,618,281,421,995,203,810,113,679,816,258,180,750,450,
202,639,410,489,775,582,447,056,393,495,408,139,471,367,896,897,104,402,884,
758,178,546,648,093,711,664,386,693,879,070,512,082,225,905,275,821,533,197,
079,244,231,865,691,195,715,435,529,659,851,004,306,047,042,458,824,543,687,
755,775,525,413,378,954,960,918,388,527,087,079,060,486,333,282,765,979,227,
895,959,739,766,261,923,731,861,466,737,861,781,735,817,679,385,210,037,131,
629,412,807,094,474,061,082,576,394,213,089,660,834,979,951,957,095,646,500,
751,435,886,288,370,516,506,948,762,063,899,142,048,005,760,198,675,952,047,
224,124,563,537,269,479,082,558,547,352,815,083,820,649,848,033,970,233,241,
931,454,535,624,884,155,690,007,185,853,603,780,245,724,539,908,145,409,694,
447,608,026,011,684,003,859,976,787,684,516,016,420,305,611,748,705,093,041,
331,263,384,538,748,537,947,913,093,364,726,487,542,880,921,382,608,159,110,
430,243,398,387,069,921,010,133,845,515,942,440,360,396,385,025,352,420,028,
414,509,028,158,903,167,178,006,038,929,826,982,029,942,520,119,535,974,719,
684,204,667,546,420,693,006,636,042,092,617,080,634,603,340,082,609,048,108,
554,169,732,665,423,554,353,823,958,009,755,515,659,164,749,093,423,118,244,
611,254,806,354,785,620,950,925,274,498,188,870,869,874,609,019,153,160,847,
510,087,487,794,207,620,118,210,907,931,010,581,193,495,929,721,504,520,913,
550,661,821,429,361,609,715,123,188,431,012,202,902,021,483,576,357,157,914,
460,342,536,301,959,023,516,471,909,816,942,913,160,551,280,980,919,620,660,
465,959,221,815,503,755,222,381,482,614,488,727,165,894,814,034,269,270,739,
207,643,473,613,018,361,051,234,756,646,518,116,927,222,538,500,195,963,063,
280,878,178,209,910,293,903,822,786,327,077,232,138,806,530,559,060,055,475,
847,610,751,299,479,780,351,615,295,042,957,779,521,354,345,557,370,455,968,
668,097,062,241,669,527,391,834,449,547,136,284,359,745,048,296,719,906,048,
864,597,391,793,570,479,869,271,177,622,811,973,877,371,087,357,977,471,282,
262,921,618,330,545,071,834,312,590,724,893,159,725,876,397,864,036,412,932,
891,069,573,140,411,353,714,670,621,385,854,242,138,966,220,636,716,139,253,
914,981,818,522,865,252,169,446,219,803,781,528,387,723,400,864,012,224,557,
156,102,174,493,968,430,157,308,208,610,813,128,245,663,733,284,231,197,587,
569,112,649,160,055,823,972,176,144,149,511,279,315,638,581,607,785,543,943,
913,840,077,170,739,010,611,348,768,462,470,689,313,092,033,673,202,911,703,
788,687,607,692,790,604,576,610,777,431,128,165,648,911,681,800,026,956,256,
811,660,988,369,254,156,918,596,944,817,392,880,352,590,397,454,550,432,557,
149,703,761,820,282,983,008,222,114,298,732,458,043,783,487,742,443,002,124,
546,144,177,010,658,482,715,232,127,065,185,101,802,740,892,468,291,031,227,
341,451,795,287,227,728,467,944,587,866,072,303,401,625,591,714,634,491,318,
916,075,649,946,793,694,654,638,287,633,440,601,358,008,922,407,075,152,952,
093,297,893,615,076,134,407,875,473,214,451,356,074,854,277,976,268,623,049,
971,449,801,922,096,368,786,407,086,394,712,894,481,364,613,435,910,941,070,
063,221,841,176,631,355,170,378,411,536,186,868,601,230,470,230,355,110,473,
278,806,420,349,819,648,034,617,953,439,352,007,720,007,224,697,080,838,002,
226,144,080,003,324,969,892,691,384,532,039,498,635,218,012,432,214,769,426,
299,795,409,384,452,230,265,842,660,884,978,136,330,900,856,547,687,359,702,
356,196,026,883,690,877,104,804,456,579,906,524,193,772,319,405,266,614,435,
542,622,694,058,299,587,092,535,980,579,453,589,717,876,001,244,352,104,071,
280,049,188,291,677,848,999,111,019,435,588,108,772,079,717,578,663,993,536,
235,290,179,195,857,032,346,125,437,626,653,526,345,325,468,997,359,650,806,
141,534,890,303,341,213,699,781,548,491,152,370,082,893,918,668,882,346,364,
806,004,505,403,900,812,185,081,014,103,471,661,594,385,911,058,024,778,042,
392,041,888,233,190,174,770,028,797,942,698,028,183,834,008,757,055,919,929,
481,122,949,111,416,949,944,127,202,439,181,666,281,469,916,060,609,063,891,
136,255,379,472,975,268,103,508,655,172,818,192,696,105,729,146,435,958,618,
179,623,176,256,754,269,477,365,437,343,188,230,346,017,928,683,266,738,988,
894,486,369,746,080,651,630,328,992,865,269,665,432,240,166,578,855,627,611,
249,939,653,897,650,731,458,899,031,510,257,868,262,837,629,382,743,940,862,
545,651,265,965,201,749,181,826,014,933,289,357,326,242,060,696,975,841,472,
118,436,705,532,364,219,759,567,038,900,044,814,509,639,559,359,717,266,837,
381,814,284,291,896,456,169,407,216,762,018,604,261,996,893,460,855,114,690,
448,107,888,369,799,909,305,806,939,704,637,956,378,590,599,034,521,077,821,
401,330,537,026,965,131,556,821,938,141,810,158,388,288,882,149,394,871,711,
988,984,100,710,848,007,673,449,663,815,565,951,903,572,046,345,228,276,929,
887,596,442,658,319,113,409,850,915,340,904,332,948,232,729,665,241,447,939,
819,873,802,343,072,964,905,419,343,844,469,345,375,155,438,841,792,334,111,
132,308,627,102,555,729,952,578,438,548,831,928,040,827,828,689,259,169,225,
002,311,403,403,967,374,169,044,643,606,225,535,569,078,031,178,186,297,151,
851,511,715,354,755,150,404,260,621,546,791,852,600,149,303,871,186,980,016,
596,084,163,617,213,944,679,783,764,066,044,370,217,440,466,702,263,739,665,
829,833,232,784,068,886,694,516,319,427,821,854,208,080,300,752,260,544,363,
172,275,946,046,683,503,757,438,666,216,990,467,504,511,391,629,102,034,238,
660,754,289,289,983,050,116,298,009,207,844,826,976,355,593,773,995,858,288,
808,698,566,642,141,730,358,250,803,253,438,387,382,189,409,062,848,366,786,
647,012,011,671,614,062,913,028,837,897,108,257,737,610,872,674,229,292,951,
224,040,772,631,190,326,909,634,269,497,992,552,941,796,516,549,211,597,675,
056,691,540,014,561,960,110,823,330,648,451,050,906,832,865,858,517,528,064,
242,124,442,217,175,094,470,901,265,262,567,390,936,502,544,839,878,714,743,
998,343,539,689,916,590,225,596,358,573,672,079,353,632,417,625,538,824,731,
607,247,735,139,664,681,329,475,780,115,277,411,269,839,794,941,148,281,438,
065,801,003,748,796,810,190,594,839,109,372,605,426,490,563,761,304,052,632,
002,709,441,927,901,707,233,407,467,611,437,827,161,345,323,488,983,523,172,
750,262,847,941,137,453,109,490,457,108,033,949,638,586,733,413,776,143,679,
362,384,528,817,425,327,803,742,988,916,275,462,944,774,516,287,965,810,522,
838,925,183,052,742,407,826,191,996,110,321,174,705,154,808,063,946,679,513,
485,043,625,056,782,199,841,074,738,752,960,595,614,996,395,641,524,311,463,
745,636,680,304,705,025,638,220,655,677,074,716,302,764,389,436,226,076,417,
259,093,420,956,484,978,954,173,810,317,576,511,207,527,845,558,602,487,671,
337,081,524,199,521,186,715,025,622,301,903,109,492,436,143,978,480,600,417,
862,371,141,850,336,671,137,656,503,332,779,087,143,633,051,092,904,586,240,
906,802,481,853,979,436,228,281,537,892,611,066,020,134,201,357,694,734,680,
963,284,585,365,753,810,356,130,486,019,504,466,121,326,103,283,695,493,895,
559,367,956,513,021,541,649,207,106,861,872,327,690,346,760,261,908,196,154,
835,939,438,893,333,196,446,002,479,684,586,584,818,023,895,703,838,248,503,
610,311,949,767,116,154,524,750,795,763,259,400,629,151,665,897,740,566,589,
161,869,718,762,421,400,832,211,910,921,039,305,411,822,130,322,461,309,111,
471,184,117,329,830,006,977,309,591,873,682,911,433,791,936,668,687,665,031,
209,393,012,327,147,632,097,552,990,795,693,368,518,057,012,668,244,644,653,
200,836,997,416,730,079,983,770,070,526,384,928,335,502,473,858,460,012,647,
479,103,710,255,650,377,702,329,675,483,889,384,360,181,412,005,718,433,695,
658,244,351,801,773,150,850,512,193,892,725,289,916,810,052,544,772,100,023,
473,079,265,047,742,260,108,649,463,775,456,284,540,813,763,540,657,803,336,
466,662,866,914,802,240,116,308,475,980,021,010,513,525,046,551,308,906,452,
832,202,997,204,721,496,371,788,830,737,402,721,216,577,842,647,405,034,407,
236,072,453,866,937,621,507,445,418,442,817,699,029,909,687,982,764,651,684,
412,073,742,846,486,947,113,958,287,285,568,784,294,309,777,491,478,064,122,
284,772,682,650,779,822,100,083,099,917,037,289,754,041,694,236,748,698,110,
606,774,285,718,590,615,903,081,778,195,459,511,595,866,866,361,894,744,417,
646,652,774,312,617,870,669,630,344,810,015,349,113,662,131,331,614,674,415,
458,910,204,362,873,855,122,712,013,205,403,230,688,243,894,887,138,780,558,
151,406,201,130,618,394,627,514,375,888,890,166,492,905,912,351,885,840,650,
856,713,461,417,774,558,783,309,703,212,225,560,352,798,227,123,347,031,836,
168,312,383,303,206,526,559,238,542,799,142,061,567,475,622,490,542,247,978,
562,327,388,460,954,693,898,585,699,646,749,915,075,877,123,340,287,197,028,
629,977,629,575,751,114,437,782,060,413,222,912,860,924,888,857,732,096,199,
040,369,200,577,637,669,995,224,747,891,995,090,952,753,683,225,845,486,786,
656,515,785,124,337,138,984,084,463,374,163,956,583,462,461,842,529,700,161,
562,606,260,685,393,256,973,034,052,150,808,804,855,774,248,893,826,012,322,
956,224,568,711,516,549,635,631,072,580,646,999,032,913,109,002,040,557,608,
830,791,395,166,137,070,190,081,244,676,108,614,856,178,663,845,940,986,349,
021,299,068,423,433,343,679,454,490,101,211,367,842,314,738,281,261,814,641,
169,405,713,917,004,371,950,105,013,796,653,636,766,099,549,031,278,473,989,
518,185,116,363,068,235,937,815,320,347,175,069,843,715,153,073,305,975,521,
953,132,836,224,381,858,717,545,233,844,588,466,958,822,525,712,722,581,497,
474,908,383,343,169,542,803,684,860,590,857,115,940,527,518,522,502,703,406,
665,878,078,253,195,523,263,258,017,631,579,634,837,689,435,577,392,828,767,
217,629,714,497,185,032,005,394,034,150,972,951,127,885,937,915,742,678,593,
185,270,700,510,502,212,683,639,810,146,154,674,582,671,476,252,064,090,489,
311,474,895,820,264,889,775,217,165,724,977,261,949,700,087,044,312,143,423,
274,130,725,760,108,839,329,167,848,553,307,662,369,566,396,632,180,793,470,
579,496,149,346,945,595,093,963,724,188,843,377,317,018,851,705,621,004,239,
915,812,126,119,188,109,446,248,004,544,999,860,621,838,057,179,847,502,768,
868,574,241,377,995,043,424,673,819,343,480,752,501,955,768,585,348,976,648,
241,811,972,783,205,534,821,472,996,128,406,052,931,492,368,966,799,294,377,
126,572,037,780,836,391,079,265,875,613,432,809,306,071,673,423,408,178,752,
441,088,639,036,381,090,838,222,967,764,808,123,993,212,937,888,647,915,901,
412,751,812,378,951,883,051,390,467,168,232,664,816,199,797,534,159,741,636,
070,211,211,050,356,966,607,030,870,829,446,469,101,322,364,858,272,716,675,
919,663,619,941,600,424,289,512,840,266,787,542,910,805,254,341,486,324,386,
321,254,117,326,093,910,700,167,067,367,967,440,439,113,035,205,299,713,054,
650,413,609,543,854,143,365,395,409,493,461,799,919,837,760,050,707,062,757,
740,171,275,112,439,742,024,741,436,631,589,077,797,301,613,733,279,198,102,
339,405,076,717,512,948,772,525,154,679,731,586,917,692,293,252,188,814,496,
893,954,856,911,265,751,216,485,452,570,576,658,158,390,623,383,339,685,281,
637,083,370,976,932,699,137,040,143,229,036,963,837,509,979,435,986,076,269,
797,259,784,758,096,274,846,511,997,017,371,696,985,207,926,863,324,407,806,
276,393,833,706,724,426,273,420,964,531,914,879,069,309,234,550,319,578,437,
084,958,615,475,900,727,012,315,017,030,563,785,920,245,398,432,506,625,021,
067,474,481,111,967,164,400,253,783,115,126,199,657,488,882,704,370,952,909,
590,864,767,966,180,426,274,829,183,685,868,240,287,727,660,880,969,191,283,
572,132,116,772,601,053,612,496,374,124,394,476,188,131,530,897,157,616,737,
557,605,561,809,382,288,357,828,770,965,937,706,863,729,528,196,042,785,687,
130,023,784,341,001,269,825,549,822,553,094,462,647,244,596,705,919,620,346,
886,743,701,679,227,053,039,037,556,504,910,138,846,355,254,742,615,114,538,
202,017,450,593,878,623,626,741,049,758,651,673,460,312,062,500,190,767,139,
560,176,874,225,669,870,538,423,941,798,940,754,570,748,226,593,056,496,269,
686,695,539,644,855,139,993,963,521,117,485,566,825,678,535,832,382,913,444,
854,784,572,204,257,046,075,850,460,547,356,782,066,700,525,175,492,076,415,
923,334,540,862,394,102,216,154,543,137,572,355,222,074,372,218,542,671,881,
253,627,231,795,846,213,950,218,520,263,571,621,525,257,050,000,206,274,762,
338,984,205,724,750,093,145,697,539,844,150,307,671,467,474,030,127,127,115,
025,279,795,476,999,795,344,445,411,039,518,846,435,512,323,156,429,667,074,
894,714,183,286,612,827,827,759,216,657,799,366,598,144,612,325,672,447,226,
522,887,391,643,897,467,699,006,048,954,853,001,552,517,752,138,307,070,412,
333,797,335,553,560,282,743,479,349,148,767,473,792,435,059,607,140,627,644,
181,498,446,224,269,393,652,385,465,388,788,151,173,327,989,189,707,770,551,
930,323,230,575,363,440,580,934,041,824,718,543,740,664,473,711,715,315,576,
109,875,292,539,045,293,447,590,001,231,685,811,206,417,649,059,593,369,009,
948,689,119,914,918,723,900,782,171,202,445,641,246,072,790,215,730,338,010,
414,721,512,965,575,378,683,751,874,333,456,886,953,041,103,694,753,974,989,
419,033,667,060,058,412,525,820,823,716,275,555,207,915,452,792,746,341,750,
053,475,813,344,978,051,372,075,739,938,008,368,760,075,375,004,003,699,091,
959,297,978,611,828,867,148,461,548,655,645,223,096,053,850,022,751,781,199,
697,523,529,654,065,610,037,443,694,021,768,304,461,577,363,291,444,384,020,
527,301,721,389,363,258,713,126,234,720,623,043,658,881,093,935,560,107,191,
865,843,581,706,210,119,556,957,192,887,922,617,174,562,643,448,678,772,274,
576,797,084,661,603,429,311,619,999,407,444,144,205,867,750,029,611,623,680,
890,939,689,109,956,406,522,320,947,233,352,541,362,291,264,087,429,159,486,
672,258,078,338,712,285,912,179,749,479,354,049,715,187,107,529,101,964,542,
457,042,159,101,800,429,431,129,567,213,679,766,335,920,585,564,621,004,074,
860,254,712,316,254,808,013,663,859,417,955,376,352,248,045,706,308,991,383,
256,336,049,048,154,899,471,642,164,985,742,570,602,077,030,498,541,209,986,
872,453,149,333,402,448,466,158,403,568,472,137,512,489,159,573,371,981,063,
489,666,133,088,529,238,944,305,182,235,412,071,139,746,821,780,559,943,540,
352,541,995,196,085,157,333,215,935,117,428,159,145,146,007,059,307,302,402,
170,189,396,737,463,893,275,386,353,331,918,509,050,323,474,911,875,461,645,
184,547,650,106,259,727,326,024,988,271,808,998,004,507,215,409,286,105,755,
217,579,754,927,396,512,333,326,982,922,312,774,059,487,633,432,552,637,337,
276,333,048,687,004,749,490,558,674,312,046,944,104,029,056,287,838,073,964,
294,599,084,769,915,287,133,826,627,046,717,891,659,053,739,975,801,886,678,
751,933,385,726,142,741,828,038,196,559,583,313,013,844,584,524,622,532,646,
407,288,517,052,185,490,739,028,176,462,341,277,899,294,744,389,634,651,932,
019,818,869,144,495,941,053,475,353,027,964,758,552,992,015,592,111,114,126,
815,382,835,473,230,418,700,037,335,733,380,761,993,038,117,831,382,732,083,
579,417,332,783,029,484,022,823,785,523,653,970,694,828,920,407,643,476,611,
149,869,988,595,611,273,696,062,364,780,568,202,492,338,729,078,569,983,429,
556,191,454,193,046,870,888,778,880,608,990,437,493,862,443,079,535,941,016,
026,097,847,050,352,830,829,315,405,035,185,291,252,452,434,515,038,461,102,
022,354,039,082,834,979,426,286,231,449,744,338,098,042,439,749,130,066,334,
028,900,866,777,817,705,841,712,848,880,274,654,626,028,166,154,329,251,702,
512,981,231,600,506,267,114,544,004,450,895,860,924,933,442,093,661,180,410,
206,484,621,344,841,764,014,045,414,695,287,739,145,292,902,025,389,018,985,
471,586,601,759,259,425,089,849,155,553,295,428,484,914,515,779,384,029,763,
948,199,422,347,779,413,183,866,198,515,619,841,099,862,728,935,188,177,587,
320,394,693,778,502,655,673,422,416,939,563,091,656,330,033,292,655,252,191,
961,106,843,367,934,424,906,012,845,060,976,144,767,036,371,569,013,805,358,
677,334,655,085,518,442,891,191,116,483,693,056,475,259,968,234,120,555,108,
935,517,680,726,447,520,944,010,457,581,390,096,747,626,463,481,723,464,781,
640,240,276,929,852,745,484,793,319,672,418,858,336,316,598,792,153,265,294,
542,016,317,318,357,949,313,892,383,842,632,633,455,450,610,021,399,381,605,
159,239,514,422,566,706,120,157,033,750,945,285,471,816,490,102,760,100,773,
250,808,873,437,955,859,019,304,798,409,975,667,622,307,649,651,089,957,619,
471,400,059,402,094,566,128,222,652,141,694,125,177,938,493,622,987,456,341,
514,163,767,642,329,248,517,299,245,773,527,216,641,184,413,677,066,854,614,
013,742,994,193,239,497,073,208,047,971,525,900,289,346,061,279,342,761,187,
683,120,113,266,291,126,884,943,296,418,020,390,754,418,238,982,214,264,527,
266,872,019,990,718,628,761,795,805,044,600,145,496,712,282,733,216,823,973,
617,336,791,316,755,768,464,223,906,344,999,668,606,985,000,194,484,549,710,
857,593,032,379,903,106,889,307,231,590,278,895,898,439,546,164,517,946,209,
133,756,963,491,977,070,370,511,438,014,133,499,806,125,861,840,732,920,989,
786,422,205,428,870,918,733,391,084,715,820,649,476,357,893,126,875,278,029,
382,039,553,324,134,379,945,018,870,048,308,811,818,654,010,227,137,183,181,
416,519,835,786,400,593,517,182,919,488,271,234,294,571,845,054,433,249,230,
449,793,125,739,099,135,275,842,021,865,249,044,361,626,901,583,628,362,121,
720,178,942,997,766,265,562,090,881,023,458,646,275,036,764,728,859,566,447,
379,749,716,908,375,763,951,076,550,481,698,221,257,466,344,570,892,720,712,
144,817,367,598,884,455,135,909,687,008,890,622,919,735,603,219,552,090,343,
149,763,436,070,565,584,956,964,013,955,723,060,545,535,126,197,337,107,078,
613,233,294,815,550,533,517,542,574,968,120,515,325,830,839,756,713,232,547,
030,979,499,546,572,939,459,870,924,613,238,435,721,236,343,280,319,851,713,
166,700,601,721,911,562,583,409,936,565,609,427,490,958,593,241,314,419,565,
604,718,475,014,816,656,625,432,174,635,699,942,751,881,109,406,474,240,783,
154,861,361,703,886,563,144,954,138,503,315,380,784,194,399,269,128,326,377,
550,453,483,887,402,219,382,058,805,020,242,514,699,985,651,598,316,250,435,
939,650,520,106,769,676,587,833,766,206,500,516,441,265,994,889,376,858,402,
333,806,807,935,810,712,227,111,132,317,602,996,066,073,862,002,681,679,306,
787,380,717,440,115,858,963,168,873,497,516,736,904,571,258,755,935,729,408,
528,341,570,314,784,235,318,466,506,119,056,993,832,918,176,147,465,181,221,
932,511,471,800,389,691,055,675,431,696,005,312,260,540,098,262,793,139,059,
406,666,404,117,077,877,859,729,887,435,849,811,682,629,826,014,616,539,759,
592,969,588,511,690,047,456,237,814,383,067,802,778,358,579,181,034,126,075,
131,826,471,370,821,457,199,870,457,951,326,031,476,722,386,026,255,114,954,
042,154,757,574,467,599,615,887,459,327,130,140,778,393,374,605,544,716,643,
633,358,709,720,066,129,903,205,486,458,847,221,408,775,049,099,134,693,670,
694,894,235,636,330,748,425,524,922,478,659,460,147,998,877,695,021,739,954,
504,997,164,972,666,266,053,280,746,760,832,136,122,428,454,017,893,229,881,
376,788,360,150,995,533,822,680,327,684,642,131,136,224,237,749,597,889,801,
886,557,298,541,501,353,283,392,792,004,303,555,888,756,172,965,670,926,362,
998,092,003,123,740,594,148,995,782,896,332,455,941,808,806,390,925,714,327,
702,930,441,653,607,804,255,563,642,309,188,216,364,092,424,619,951,522,259,
479,784,008,865,940,036,215,415,753,407,976,171,316,715,053,322,447,197,474,
339,404,836,456,219,613,893,346,445,260,242,820,043,115,601,184,309,563,137,
931,629,531,383,676,923,920,582,327,103,571,845,859,871,791,008,087,906,701,
589,321,515,895,391,499,778,123,175,571,268,162,064,630,972,175,119,930,555,
208,176,046,582,099,287,490,139,867,386,447,052,774,110,358,878,151,781,116,
201,147,939,826,828,687,930,321,664,293,143,337,984,315,748,588,821,624,168,
666,880,611,989,984,696,828,106,110,807,508,487,235,684,116,899,938,252,294,
582,569,510,180,376,688,387,865,382,639,365,576,317,055,265,423,492,001,545,
930,712,344,234,036,797,414,467,234,846,672,174,573,247,593,799,390,465,409,
805,866,990,988,946,606,288,580,316,174,378,563,191,374,504,396,813,810,066,
420,598,264,046,180,276,571,479,121,822,471,060,408,015,104,993,272,028,661,
503,410,652,698,210,606,340,980,876,898,872,620,956,855,908,292,299,870,393,
328,920,197,344,658,304,317,334,455,484,904,792,424,974,521,799,976,643,517,
739,193,146,073,665,078,487,692,321,666,908,176,742,698,646,930,750,703,586,
333,016,834,269,405,819,671,176,846,052,692,673,833,346,719,795,563,926,502,
697,130,622,222,032,696,204,921,125,825,030,093,739,815,721,253,439,167,790,
244,197,337,347,208,132,172,109,412,207,923,543,769,563,505,308,041,443,954,
402,323,873,929,331,109,076,713,026,402,866,534,695,110,710,343,597,816,174,
031,656,312,325,755,212,742,991,357,227,992,732,312,438,137,738,640,931,652,
680,730,782,535,598,759,148,144,392,892,086,275,542,113,576,763,259,613,132,
625,774,732,087,517,124,865,767,598,098,496,409,557,802,334,110,222,617,926,
359,156,934,161,388,119,711,986,211,378,249,679,700,609,804,339,272,512,360,
024,482,427,213,889,429,050,111,301,307,579,503,554,000,098,281,028,888,702,
698,530,546,720,603,529,895,458,388,642,022,683,180,464,107,025,174,151,615,
322,581,456,321,932,427,097,267,194,274,539,851,461,814,719,288,161,335,481,
185,310,932,538,386,023,620,644,065,169,425,208,130,490,678,423,483,934,179,
056,320,535,714,734,874,576,568,322,429,625,238,786,263,454,774,321,390,213,
982,323,258,414,506,462,505,716,889,711,806,621,054,124,870,318,793,726,786,
262,537,905,706,437,597,421,542,335,982,883,054,622,189,639,240,183,013,709,
389,008,412,750,002,232,604,861,912,950,410,184,168,386,673,392,801,377,877,
495,649,642,568,629,841,620,072,165,715,066,753,461,043,073,490,802,565,974,
834,025,211,293,246,097,606,812,819,143,860,501,049,799,171,628,962,099,656,
917,234,706,960,840,328,808,418,106,237,919,524,204,897,409,849,361,114,974,
714,539,268,540,315,389,216,384,242,167,813,207,316,985,626,697,986,753,055,
214,483,675,381,090,175,075,615,925,567,570,771,841,411,366,646,941,775,802,
060,524,409,824,532,116,630,185,573,564,605,637,885,312,752,068,165,217,741,
363,629,132,956,949,169,820,212,524,787,563,240,865,654,907,013,192,978,283,
562,055,558,354,276,785,045,935,352,741,247,808,010,285,532,785,486,279,147,
098,190,443,600,409,054,423,304,842,398,947,851,206,611,224,568,942,303,148,
552,397,673,455,351,714,669,307,875,755,663,438,573,234,303,383,469,578,562,
455,416,557,085,987,648,970,068,062,728,498,205,788,690,376,914,856,687,468,
800,244,917,419,722,319,474,397,034,756,523,993,735,315,024,051,696,884,256,
577,467,952,053,359,966,665,798,241,238,690,326,814,929,953,435,307,534,912,
439,590,532,205,610,537,899,213,577,142,193,368,247,581,891,987,107,888,906,
715,418,778,029,702,529,324,347,370,439,726,240,591,234,611,622,120,143,146,
609,552,864,929,962,125,768,017,784,021,510,653,022,778,698,478,370,466,304,
459,011,110,768,982,906,832,710,008,741,334,773,852,435,174,747,862,645,835,
852,713,202,234,787,497,392,250,244,040,502,663,662,232,452,977,391,939,789,
048,245,856,794,918,132,878,545,148,819,124,883,376,094,355,204,323,990,205,
459,047,310,744,019,239,465,087,448,256,085,584,102,301,618,705,344,969,676,
698,664,566,523,445,528,938,572,953,686,126,217,689,422,492,344,307,215,184,
248,343,009,832,471,362,994,737,884,296,962,882,416,624,326,239,100,055,159,
345,288,421,262,520,629,949,346,841,539,372,375,245,363,882,836,962,440,601,
418,402,077,144,425,083,032,919,243,157,497,744,937,711,320,853,955,108,173,
312,762,386,132,541,430,286,198,888,224,748,313,735,874,361,410,581,303,050,
138,408,391,032,324,886,333,265,311,945,920,184,775,210,910,625,858,036,575,
919,060,472,634,906,868,030,556,660,219,795,757,887,528,178,727,231,371,085,
587,565,142,277,375,512,440,560,695,344,893,895,955,836,298,478,480,619,445,
583,912,357,386,605,343,790,623,842,066,766,587,486,445,003,565,931,932,187,
117,853,364,368,007,745,097,671,367,507,697,728,194,647,500,582,086,361,508,
924,330,368,141,114,628,845,538,069,226,288,275,411,835,505,963,367,518,393,
797,780,245,272,304,974,653,029,292,942,229,851,236,401,398,350,939,755,903,
263,247,959,888,890,110,319,256,557,349,313,238,071,263,453,382,345,931,464,
632,019,735,479,591,334,823,210,729,990,112,788,969,925,038,957,390,175,394,
317,725,389,491,352,553,361,755,625,584,787,165,377,333,790,187,403,540,866,
893,521,823,311,845,317,150,745,140,213,986,708,785,617,127,108,072,269,439,
103,626,243,741,566,415,501,414,638,888,550,338,637,585,468,868,955,212,395,
504,237,596,848,404,512,176,073,724,167,643,534,598,678,728,346,871,083,260,
193,242,098,489,902,151,383,804,515,651,333,582,505,927,802,436,140,805,268,
811,281,271,189,749,026,580,406,865,059,850,129,871,391,049,931,033,025,860,
677,150,904,730,770,250,345,197,875,627,901,426,858,845,011,906,090,326,540,
338,400,213,369,857,453,250,603,583,705,198,938,515,322,548,226,517,847,179,
399,587,530,290,546,344,637,029,016,768,933,169,160,754,041,049,601,632,735,
612,724,681,883,548,828,523,466,659,140,284,175,248,158,300,995,206,137,872,
835,719,481,911,347,033,472,747,798,162,982,020,731,774,938,009,885,094,604,
228,680,539,487,520,526,580,946,714,481,415,946,641,322,438,827,725,364,130,
270,388,496,178,922,647,441,935,533,659,202,791,489,967,611,685,691,693,835,
502,353,973,937,105,060,215,275,608,750,040,556,157,430,633,379,533,228,083,
983,882,771,151,098,945,222,183,571,202,718,864,321,928,289,153,079,133,530,
800,942,521,334,479,945,996,216,903,194,671,017,340,046,470,372,518,367,256,
215,950,418,354,777,556,408,151,816,290,366,876,995,953,922,607,927,613,363,
421,206,693,380,206,514,846,801,383,358,269,825,222,235,419,364,169,420,462,
178,749,193,754,463,924,624,948,906,222,882,126,418,830,752,704,154,368,220,
627,650,183,450,316,517,696,876,996,988,456,944,813,691,397,708,030,666,818,
121,523,445,258,647,322,723,623,379,221,409,233,301,583,459,589,091,830,704,
981,240,807,449,629,831,489,479,664,012,269,220,276,991,084,277,389,578,024,
431,316,383,385,792,695,514,019,106,059,573,100,100,902,456,659,402,081,586,
809,213,744,128,385,446,188,234,249,970,887,469,386,083,606,271,445,192,918,
171,214,102,156,028,825,824,492,429,210,585,282,963,262,153,934,342,488,428,
954,935,902,878,353,572,889,320,817,078,187,404,890,629,288,104,173,691,243,
493,076,549,626,629,268,150,329,071,620,299,668,468,672,898,999,401,591,507,
954,105,880,034,392,877,569,896,470,552,263,702,893,246,395,526,325,870,738,
088,646,473,887,175,261,830,960,178,501,289,843,817,378,898,365,999,167,151,
997,076,735,731,621,182,471,780,084,505,713,935,208,367,886,994,179,471,038,
360,295,845,109,528,382,375,452,811,926,065,287,984,503,278,348,179,813,599,
112,602,509,509,519,476,724,546,274,462,240,955,443,103,408,599,956,897,911,
058,202,595,281,194,456,410,898,062,061,779,624,234,288,034,414,325,361,733,
748,381,101,095,063,171,312,376,976,784,453,131,547,696,363,940,951,039,284,
013,029,942,509,228,218,423,224,799,254,368,992,171,320,022,233,585,885,336,
265,738,590,452,000,007,788,359,550,958,792,984,177,064,923,264,897,710,094,
122,311,298,491,500,850,646,409,365,097,400,255,549,110,007,390,544,500,449,
740,419,055,318,163,427,114,809,445,127,538,027,447,032,621,972,822,597,365,
516,422,229,934,641,030,957,747,633,786,385,297,722,428,034,966,978,447,881,
772,442,355,725,272,817,122,006,865,340,353,551,748,492,872,316,315,742,995,
280,375,005,591,995,864,032,167,219,569,014,361,936,085,876,547,056,763,928,
919,315,344,454,377,269,113,153,090,931,994,421,071,085,017,618,654,404,496,
234,750,314,715,802,524,244,889,115,311,038,003,571,486,722,753,705,702,041,
007,027,754,511,381,655,257,347,827,587,689,332,618,191,677,006,502,142,345,
043,735,123,728,944,833,495,350,737,060,325,785,320,811,899,701,641,421,070,
048,249,002,094,871,337,709,085,942,011,518,130,245,746,092,170,948,057,728,
407,799,641,238,149,514,197,837,803,802,774,547,727,021,173,147,079,085,217,
325,197,055,818,949,410,642,327,587,467,422,992,451,734,857,275,609,594,113,
783,749,173,197,578,840,038,739,964,690,185,961,383,999,708,672,761,817,605,
676,310,332,772,992,592,018,185,133,479,813,228,591,596,165,745,982,617,712,
296,521,257,488,199,923,137,872,546,078,181,010,017,521,235,466,898,585,685,
490,560,335,190,431,602,010,955,651,008,232,827,218,667,530,345,949,500,448,
058,532,575,228,011,007,445,030,946,190,578,568,230,187,194,874,571,492,090,
885,982,316,641,110,658,165,466,967,970,163,491,112,696,391,155,932,913,360,
832,620,205,891,290,322,290,663,428,381,605,932,618,552,928,605,659,050,983,
885,955,312,902,809,634,224,154,085,542,804,636,855,778,403,211,964,658,314,
149,658,254,494,189,874,535,169,178,636,339,397,462,515,496,943,798,177,569,
675,637,912,062,535,443,749,334,134,867,130,566,275,391,966,259,239,322,669,
880,978,963,633,800,175,489,654,727,748,588,310,795,599,880,722,337,927,991,
238,823,388,179,797,320,098,349,468,338,505,383,034,697,594,223,714,319,361,
308,773,236,213,681,539,745,791,746,139,692,415,078,881,288,674,442,070,282,
918,970,969,697,479,117,930,270,986,748,479,469,023,961,132,351,453,151,723,
801,205,458,475,364,842,232,751,107,512,806,329,995,416,079,520,515,324,520,
502,974,103,834,275,541,547,612,383,679,653,752,139,623,263,214,008,318,427,
787,878,085,099,339,148,206,641,817,416,492,224,429,923,233,918,097,414,242,
347,638,849,778,740,612,578,408,038,644,330,187,724,648,506,665,637,778,578,
192,393,631,189,715,084,457,948,207,985,566,269,010,975,789,736,017,542,414,
501,478,012,821,998,151,901,300,226,972,836,464,638,157,899,735,185,059,758,
825,640,255,955,486,656,811,824,126,108,156,207,953,979,868,352,579,426,939,
220,120,928,299,991,835,867,969,670,446,045,237,359,615,955,121,055,234,653,
245,689,925,211,278,533,967,487,802,557,174,521,272,322,648,578,478,370,512,
676,509,503,868,447,456,635,034,929,496,933,003,747,472,364,246,899,322,916,
546,822,993,155,962,889,812,077,380,975,493,692,607,415,549,848,126,009,704,
536,793,805,949,384,941,680,777,570,571,259,984,258,058,446,367,070,111,949,
264,327,845,302,457,810,839,431,783,031,227,590,348,865,993,540,643,997,565,
530,497,181,758,617,449,928,369,256,378,689,312,225,767,462,994,901,936,312,
664,291,943,730,628,643,051,740,367,136,964,205,455,893,731,395,680,066,327,
763,896,952,508,342,292,992,971,628,693,608,623,276,105,116,565,762,171,608,
186,059,697,207,687,912,617,222,011,155,795,454,297,465,120,005,782,778,587,
428,076,650,716,058,201,674,853,501,583,337,522,091,910,259,374,511,928,044,
652,796,020,206,972,419,736,975,093,505,125,724,443,402,003,229,319,335,215,
112,159,330,635,793,786,315,369,674,993,967,019,150,144,027,479,370,539,823,
202,621,253,493,936,408,393,991,096,732,204,464,741,921,496,970,383,422,712,
809,844,473,632,394,182,762,059,340,717,713,197,038,273,007,164,566,376,308,
636,279,973,343,164,258,524,139,396,656,098,328,119,176,866,818,189,394,221,
817,974,122,064,782,388,590,832,295,048,376,407,169,281,166,148,649,870,394,
163,491,319,899,780,083,088,083,923,690,871,750,718,915,198,426,640,936,873,
892,964,779,800,623,915,729,879,474,170,980,654,186,749,315,845,797,585,293,
675,213,596,456,732,101,332,096,563,632,355,834,392,693,359,847,762,807,197,
238,552,262,182,764,805,621,699,599,629,053,994,833,469,367,096,376,816,647,
463,356,770,145,033,846,974,750,332,100,859,667,136,564,908,359,248,981,980,
350,259,844,907,794,780,220,356,614,994,848,480,884,132,151,231,489,300,520,
223,358,028,357,723,204,962,559,737,600,468,580,354,590,882,094,400,275,057,
645,274,335,270,033,528,868,203,417,336,068,236,902,034,824,425,888,716,716,
333,233,139,739,908,416,227,116,854,489,255,677,361,239,212,182,577,298,847,
635,391,051,296,721,788,606,023,117,179,120,655,687,806,347,609,292,169,801,
636,023,452,025,315,919,029,327,838,768,790,851,556,333,730,294,364,528,506,
589,709,344,405,951,335,034,342,908,541,203,366,322,378,050,570,547,562,780,
082,177,560,655,001,184,323,498,114,526,098,583,556,904,913,699,922,270,465,
057,087,816,942,004,604,579,034,405,648,567,977,281,452,152,781,314,788,092,
300,674,797,949,362,534,091,150,498,934,815,095,579,297,444,052,858,657,964,
901,815,759,562,553,319,793,930,139,533,656,549,687,035,860,866,281,578,908,
133,079,040,699,652,023,366,081,474,440,966,516,467,462,036,229,618,179,474,
013,330,945,993,965,019,068,591,838,248,454,778,790,866,062,206,091,474,198,
376,463,208,451,002,902,587,906,000,505,110,082,182,018,288,047,889,261,909,
392,970,114,394,355,099,585,492,147,565,666,041,077,210,455,217,030,738,790,
698,554,875,208,471,396,163,401,525,491,327,771,563,746,072,757,520,225,024,
660,652,350,314,817,744,456,537,669,509,101,698,024,607,191,381,425,824,241,
568,995,830,577,227,845,264,322,500,669,340,611,055,251,216,516,909,752,689,
634,645,355,589,522,611,089,480,471,662,593,497,172,133,286,930,486,517,141,
044,074,080,556,058,277,668,052,875,522,206,071,934,490,437,043,560,413,645,
551,900,868,080,783,857,065,624,538,090,792,226,941,173,465,672,769,539,067,
798,440,525,378,393,810,489,405,440,259,636,243,382,180,083,066,921,664,551,
438,511,339,575,928,045,652,962,286,443,941,738,399,005,744,244,796,004,193,
369,395,432,914,505,073,624,157,731,562,322,147,932,993,411,197,080,398,155,
343,992,284,606,414,085,524,008,204,778,318,436,337,887,989,291,747,271,150,
502,791,239,886,478,551,885,981,412,107,439,445,825,042,313,964,597,693,050,
204,428,098,831,051,575,226,132,559,789,161,211,733,266,093,613,867,206,623,
127,759,595,435,050,481,859,288,352,165,170,650,685,710,569,581,468,267,576,
032,847,080,300,360,526,341,618,934,910,950,940,842,411,808,971,823,089,180,
860,297,388,478,266,237,122,741,323,257,255,250,930,133,358,681,188,300,520,
463,695,822,222,769,862,441,629,265,725,743,039,989,820,158,358,952,764,156,
100,012,246,888,214,932,164,631,013,254,945,230,515,673,635,692,149,832,475,
122,875,143,552,772,150,856,903,636,633,740,770,238,539,361,783,455,786,119,
519,747,772,380,235,311,733,733,500,141,355,579,789,516,528,575,821,582,104,
993,100,109,835,234,459,182,129,205,609,557,317,854,406,864,357,497,555,834,
323,304,167,924,419,608,389,267,404,142,496,985,788,333,705,060,734,457,505,
918,454,836,591,435,753,542,193,735,868,456,097,830,347,196,598,340,894,486,
289,458,759,974,057,795,728,857,140,932,120,272,427,008,349,823,432,192,383,
986,372,106,802,533,424,326,432,546,549,398,971,345,895,522,991,835,922,686,
613,469,226,182,690,683,059,251,819,632,256,565,046,779,881,603,217,865,344,
222,582,509,758,566,151,719,394,906,521,751,077,800,380,584,921,932,197,327,
038,407,409,803,268,233,953,282,399,801,164,200,376,032,695,503,222,265,905,
529,600,752,359,170,252,225,140,739,553,714,551,131,588,592,614,024,822,403,
924,158,149,534,455,024,859,299,764,144,273,185,954,399,725,974,939,219,261,
879,113,847,823,303,692,703,294,017,073,476,819,104,536,664,766,777,571,378,
989,210,150,322,298,601,159,441,235,680,945,900,020,302,708,072,392,764,068,
002,148,205,598,550,877,006,948,588,610,994,557,430,428,554,164,420,874,844,
073,576,291,253,994,732,882,343,019,107,063,792,025,540,708,635,029,725,374,
102,302,007,335,412,535,058,329,588,953,310,034,809,398,881,832,154,218,079,
197,538,795,849,198,862,162,726,104,517,201,649,604,983,749,884,161,036,743,
598,016,960,650,254,275,954,749,938,704,527,996,425,248,456,852,696,341,458,
290,116,815,113,863,455,583,645,979,168,463,536,084,328,874,628,511,548,220,
714,189,608,066,458,656,609,522,479,550,435,293,684,432,539,993,929,422,919,
687,745,121,013,615,068,223,471,770,000,641,124,598,057,483,490,989,694,253,
704,828,031,426,883,261,996,999,329,377,783,557,425,225,023,865,808,551,121,
738,988,502,558,919,862,696,827,609,812,778,353,985,536,997,256,527,707,370,
760,961,987,123,823,422,594,923,996,061,396,126,658,873,713,184,090,252,234,
253,796,570,863,308,249,834,208,683,031,155,377,347,499,540,586,692,291,675,
275,503,456,331,710,058,441,753,380,791,815,916,415,262,051,541,060,269,113,
141,432,786,569,593,928,834,498,986,855,119,412,997,130,402,510,699,089,230,
577,698,220,417,430,594,997,269,000,966,051,776,973,498,801,267,724,439,895,
537,752,803,387,045,180,501,749,334,805,298,905,505,138,382,000,890,324,720,
109,610,099,414,237,138,285,631,628,286,574,445,484,211,998,194,581,719,842,
793,787,665,248,069,409,121,495,112,855,702,979,541,187,407,135,816,374,309,
737,108,041,373,751,115,212,966,093,951,392,778,923,035,046,682,841,084,519,
912,252,843,872,962,977,237,334,873,060,987,615,975,500,672,213,691,630,973,
438,390,296,447,125,155,724,330,005,893,368,369,461,444,496,067,704,879,367,
411,625,974,997,523,304,664,791,978,729,203,732,758,308,638,173,040,553,826,
301,742,190,750,176,072,287,170,605,342,771,512,806,887,552,273,832,962,399,
037,345,911,121,130,306,740,169,275,900,461,711,482,218,209,072,988,536,258,
199,116,781,718,755,585,414,661,772,174,039,663,801,588,307,884,013,053,859,
946,293,923,460,747,786,559,360,905,125,888,245,921,562,724,539,006,045,965,
401,363,652,129,199,361,362,762,677,199,711,982,639,647,719,522,488,507,197,
254,206,921,385,287,875,366,225,016,266,864,645,273,469,733,550,854,421,746,
406,961,445,659,962,836,201,164,035,141,196,281,724,055,813,444,577,723,369,
182,573,960,269,790,548,749,604,246,063,483,901,022,257,810,954,167,722,036,
462,790,261,401,679,158,013,816,336,763,583,361,626,133,947,953,210,957,053,
897,283,181,925,274,214,008,612,026,814,351,290,350,339,293,368,394,674,851,
602,711,174,337,995,155,385,006,154,819,802,843,411,457,420,128,692,807,875,
587,570,989,299,335,830,309,898,883,321,521,552,324,097,416,060,694,107,237,
515,239,956,191,626,211,023,889,035,421,046,958,230,139,147,026,491,429,214,
193,817,768,911,961,860,350,148,767,544,709,587,557,040,309,507,440,766,086,
212,598,271,561,729,473,580,445,341,849,790,869,745,011,531,949,274,938,898,
087,826,874,620,007,297,325,239,203,496,826,731,894,191,442,535,175,664,681,
616,219,292,590,373,973,770,146,251,370,258,541,881,740,369,330,061,517,442,
884,868,730,145,195,782,324,784,090,118,824,253,015,096,762,110,846,498,734,
210,384,517,686,976,591,260,603,371,859,036,871,266,823,172,774,409,435,246,
741,715,850,065,895,000,295,694,486,975,616,897,955,740,382,940,065,891,049,
510,128,314,933,843,574,859,309,129,841,070,579,214,806,994,922,107,133,563,
500,383,166,827,741,507,373,771,928,730,126,173,432,760,217,400,934,403,423,
364,313,469,656,415,408,751,206,282,080,394,843,237,424,720,190,246,123,929,
004,577,924,137,019,050,532,277,540,719,615,667,805,405,954,536,723,599,357,
086,830,258,964,183,299,254,035,819,169,112,897,903,674,514,603,004,641,752,
689,336,751,594,830,600,026,223,106,647,432,327,485,687,786,895,614,061,128,
729,737,570,980,626,549,272,761,575,435,270,725,559,005,753,044,969,795,533,
700,790,294,831,089,724,039,939,639,684,728,638,310,152,103,391,595,480,082,
027,764,133,704,752,151,682,162,180,636,255,286,833,513,016,937,071,639,453,
903,115,866,752,317,880,601,286,672,090,352,745,138,919,178,885,304,638,573,
220,241,452,755,028,563,569,980,747,413,508,711,463,892,812,900,877,374,441,
632,934,974,192,264,893,600,492,319,042,514,244,962,101,151,383,953,683,341,
253,458,619,144,305,721,299,659,538,198,715,367,887,641,382,068,750,843,413,
211,221,067,850,325,636,671,405,239,593,873,978,830,157,923,083,328,030,659,
362,940,973,613,468,066,283,069,443,014,054,846,487,662,075,166,667,588,921,
457,867,756,642,147,776,603,016,086,520,373,877,498,579,963,034,340,038,912,
278,515,196,299,750,178,110,419,884,563,289,945,714,763,858,922,557,569,647,
033,934,342,324,698,270,676,164,735,286,497,735,088,453,705,913,167,142,754,
828,596,522,663,732,873,212,994,235,579,942,225,445,057,867,639,402,449,668,
412,569,148,871,817,553,387,093,567,352,989,337,661,483,192,724,476,555,871,
865,726,072,229,959,218,550,260,221,140,466,853,787,494,801,274,424,831,973,
101,848,820,853,155,071,480,460,584,797,614,458,870,869,028,611,451,370,515,
479,799,208,140,474,068,296,111,854,865,105,325,511,951,375,780,772,195,385,
927,084,802,163,449,058,380,402,062,055,391,407,707,514,198,234,123,067,345,
632,516,258,168,533,979,586,064,821,484,884,176,126,684,788,136,725,910,704,
556,985,816,520,860,812,577,061,059,571,773,458,643,486,775,728,239,230,960,
201,073,661,031,241,553,214,404,490,287,405,310,803,104,870,071,571,615,808,
092,171,020,444,503,153,616,950,741,130,093,477,599,385,935,097,033,397,864,
846,003,909,174,344,070,174,119,698,351,562,270,854,356,995,456,130,686,721,
383,660,352,773,439,777,584,119,239,919,411,705,702,279,254,248,507,021,686,
376,204,510,453,008,388,821,568,757,436,846,016,660,883,659,408,480,671,982,
105,600,717,741,054,139,627,304,575,622,234,407,281,821,454,521,564,704,521,
305,123,503,991,834,497,864,203,480,090,414,422,042,057,129,329,348,342,692,
072,524,573,115,476,264,987,117,782,460,312,561,730,819,945,158,786,565,394,
612,400,261,548,698,580,661,363,559,891,816,534,177,888,269,973,132,852,192,
237,306,220,314,138,153,671,756,868,028,502,099,522,579,841,332,169,900,871,
561,149,690,699,134,642,425,093,741,486,556,507,914,189,924,021,145,579,322,
695,930,086,627,921,382,452,156,110,005,394,764,306,247,297,912,647,646,104,
929,655,842,288,672,579,925,216,527,099,160,849,252,393,110,201,160,594,391,
053,982,237,897,477,003,188,438,611,650,069,533,750,415,083,886,702,667,257,
042,451,717,246,183,799,268,997,542,764,436,536,392,468,328,996,145,429,739,
932,558,480,938,587,398,091,408,504,286,291,968,835,952,623,717,252,252,082,
677,608,332,684,767,774,664,683,269,576,618,586,940,882,609,093,373,854,652,
412,325,057,492,168,632,538,015,725,899,497,842,361,319,961,790,008,200,593,
265,094,265,392,648,567,605,313,279,041,272,343,620,083,849,225,916,810,872,
896,042,392,471,323,154,214,785,331,014,104,593,363,263,120,530,449,130,258,
218,101,740,765,776,747,049,207,403,364,146,250,173,651,927,010,832,447,775,
743,698,052,588,728,919,758,238,023,568,308,140,727,861,741,937,746,267,531,
916,327,221,935,467,641,485,315,480,557,590,837,847,528,221,336,994,346,951,
192,928,457,357,300,351,954,929,935,252,885,976,309,226,823,900,791,274,477,
337,215,367,282,508,690,763,369,609,195,457,982,506,810,424,549,757,026,629,
909,128,682,182,047,510,115,730,149,077,307,009,220,106,477,806,075,836,628,
090,627,094,631,906,908,670,621,371,814,141,732,607,145,697,544,113,746,499,
431,551,407,711,881,984,680,204,860,111,838,662,521,248,165,755,484,232,650,
320,761,697,098,920,711,817,537,562,662,756,750,102,968,385,334,094,818,100,
751,821,906,403,466,342,087,534,702,142,086,061,112,963,467,632,772,851,375,
375,075,440,132,757,033,865,437,180,967,895,401,485,991,170,162,687,256,214,
902,006,490,605,525,105,436,470,196,651,628,766,040,763,714,639,341,107,691,
544,551,346,799,276,049,349,831,435,179,680,562,751,959,270,891,739,078,518,
806,282,846,372,368,170,031,686,042,331,073,041,110,487,689,000,298,460,391,
825,353,971,382,408,005,451,857,612,312,364,750,542,501,392,384,963,892,254,
483,833,881,886,737,614,343,929,148,986,177,280,769,353,896,476,481,301,652,
187,090,963,600,476,352,353,164,142,525,128,738,253,597,579,270,573,486,601,
331,811,715,898,484,190,658,420,072,332,467,922,783,512,957,798,588,197,667,
171,889,981,102,709,873,857,116,481,872,803,009,688,818,598,718,101,288,437,
548,324,507,594,834,662,030,364,673,238,543,266,838,626,220,006,695,680,819,
049,433,205,984,257,561,758,405,050,903,857,755,527,102,246,400,165,965,153,
076,268,248,980,161,505,458,081,261,463,324,260,043,495,195,979,602,316,023,
764,084,981,401,022,618,765,945,796,113,246,748,729,389,560,566,792,232,829,
131,176,498,345,091,249,402,849,845,927,837,257,261,499,394,505,603,172,625,
080,079,556,171,979,477,591,021,439,787,183,910,799,678,038,818,816,637,729,
094,002,210,748,783,282,110,439,394,746,248,785,127,574,711,119,900,568,788,
007,757,888,157,887,102,981,196,604,567,694,097,583,883,256,743,024,756,763,
339,864,032,455,567,179,045,498,520,640,136,085,411,226,766,877,388,230,988,
707,724,047,951,795,026,464,712,925,008,137,401,909,176,697,847,575,555,382,
451,068,199,550,580,103,962,810,543,771,207,926,548,836,968,408,578,920,293,
500,769,198,928,050,042,872,303,786,910,710,302,746,532,456,029,895,982,855,
070,160,561,315,355,994,624,868,879,094,980,514,557,747,705,517,373,169,265,
970,672,471,178,746,111,101,854,091,265,260,343,657,088,423,486,316,176,929,
677,607,724,292,499,992,156,023,038,784,574,316,250,357,817,999,784,912,383,
770,620,217,891,308,545,051,075,956,520,239,928,934,872,097,581,346,744,333,
868,911,706,302,463,891,141,617,444,035,503,070,285,950,882,555,800,644,915,
471,224,105,870,139,261,008,090,397,722,491,194,787,972,205,831,649,740,793,
089,794,246,218,244,879,826,181,821,783,752,768,562,299,086,315,645,397,727,
178,340,220,459,247,732,406,083,482,473,934,886,544,959,410,974,319,220,997,
815,805,418,783,177,787,714,289,205,409,819,608,594,267,407,541,173,679,204,
576,088,800,675,094,502,730,532,255,725,844,228,443,686,183,697,080,284,321,
477,948,653,957,233,911,482,479,373,271,745,994,260,245,554,253,736,548,900,
270,642,558,997,653,568,152,543,211,243,795,060,890,151,847,752,237,242,705,
104,223,126,168,006,523,115,186,261,836,858,511,141,065,583,633,309,912,541,
927,204,121,599,171,835,139,039,175,946,814,021,866,130,661,130,980,080,279,
299,562,842,199,553,280,144,498,808,688,117,667,434,037,289,771,809,989,727,
400,518,872,743,030,620,204,800,978,477,293,316,038,208,563,683,261,120,110,
210,775,650,404,870,754,150,396,381,778,373,768,575,450,444,948,029,020,797,
292,528,643,523,689,693,138,061,583,890,646,810,721,624,021,186,176,252,699,
941,094,703,463,176,212,217,550,732,697,084,751,225,745,743,059,575,864,283,
184,495,327,262,627,802,179,349,776,181,163,648,342,151,997,090,407,849,634,
538,706,374,112,430,047,325,406,284,444,727,472,660,684,712,416,769,879,053,
583,590,420,398,798,447,205,977,926,711,921,827,865,363,793,171,166,762,428,
448,314,050,330,971,899,075,531,431,834,622,298,244,527,374,799,203,177,408,
166,151,321,270,439,603,641,264,539,130,723,652,765,995,785,178,022,944,033,
754,705,542,990,026,456,276,382,106,197,864,631,743,262,397,090,213,054,925,
462,608,031,753,940,433,360,455,236,055,274,277,959,994,922,970,514,171,670,
192,259,421,197,289,315,466,625,925,927,558,890,078,377,889,803,467,317,209,
931,005,978,623,693,735,001,493,304,193,379,574,310,491,504,803,495,911,156,
711,825,338,453,721,498,016,035,728,199,768,869,355,262,616,056,348,256,366,
938,407,387,467,958,644,707,408,244,811,232,021,516,640,821,131,595,202,911,
202,361,391,196,716,976,632,407,017,216,830,578,989,921,482,842,015,135,243,
475,344,093,727,936,477,305,065,225,078,868,801,832,879,166,084,569,041,066,
809,242,830,281,109,319,060,870,467,226,713,961,943,158,794,499,188,301,353,
746,065,735,482,656,182,774,938,918,126,476,085,747,717,582,479,955,036,341,
315,997,907,185,776,611,806,114,210,641,429,303,479,841,550,735,113,296,960,
680,625,704,603,409,653,718,745,829,473,774,139,650,998,207,599,105,188,722,
955,286,678,650,669,616,790,203,598,128,882,674,571,091,343,076,433,185,658,
131,427,635,859,282,437,549,342,881,822,858,403,175,099,750,057,664,326,027,
814,704,665,966,547,977,680,903,046,818,396,316,424,686,640,594,640,293,701,
987,007,697,091,039,043,193,506,084,776,013,226,242,068,034,633,081,766,661,
508,374,112,096,477,816,173,802,197,179,669,661,447,051,045,925,775,110,839,
251,172,781,360,699,366,681,454,659,107,309,160,909,785,917,732,209,262,530,
690,387,010,007,393,292,007,502,980,992,576,626,342,720,151,981,442,036,650,
760,165,365,270,479,845,547,955,580,839,734,861,920,670,355,124,234,403,117,
432,006,247,514,647,696,552,048,404,787,234,091,666,976,866,022,367,776,311,
032,589,394,281,623,869,879,821,045,006,963,959,835,731,359,563,113,511,208,
924,679,421,525,226,530,803,053,268,570,209,485,100,038,056,734,792,376,204,
814,628,261,499,934,197,551,154,063,669,008,760,319,088,245,202,672,955,661,
113,078,378,758,370,107,141,130,038,932,703,720,385,940,243,436,507,711,417,
883,840,002,491,534,807,891,351,070,051,892,074,395,186,546,989,110,024,581,
241,719,337,978,607,761,876,907,884,355,463,820,503,679,895,784,953,071,275,
604,018,435,099,314,868,215,164,915,876,680,732,749,016,708,570,302,670,646,
145,227,903,202,060,128,019,807,247,725,173,534,518,471,467,728,264,630,059,
449,027,058,255,223,540,297,874,718,471,677,853,879,713,620,152,775,446,569,
391,833,937,443,747,111,768,515,508,445,574,411,321,668,003,338,171,029,359,
603,126,050,988,184,696,148,319,037,449,149,504,970,699,994,297,607,333,083,
255,752,010,479,123,568,718,065,937,085,310,368,302,828,130,784,808,556,905,
675,967,615,570,540,812,449,370,006,297,163,329,169,652,972,922,348,570,752,
667,374,504,453,227,072,745,407,819,792,376,367,169,497,321,525,745,589,058,
586,786,715,685,089,406,884,135,428,535,903,197,672,251,852,085,116,341,298,
264,128,261,213,656,202,117,276,053,475,626,425,888,947,980,706,820,729,455,
376,082,849,341,012,260,913,107,938,738,677,819,457,148,239,100,800,557,250,
928,808,059,323,880,728,084,473,698,025,944,462,529,113,966,891,000,703,227,
523,934,844,987,215,068,009,769,869,005,555,225,285,427,416,998,298,251,620,
454,827,176,440,895,411,403,106,380,322,111,366,566,629,083,266,775,706,567,
329,278,771,460,218,696,802,145,479,277,630,830,213,664,115,454,492,739,334,
885,538,833,037,940,916,618,352,939,826,750,975,242,062,531,161,820,300,919,
804,278,973,279,130,255,653,513,324,400,142,927,690,961,005,303,716,193,467,
603,996,803,507,956,118,824,546,353,009,221,153,992,262,607,123,619,963,423,
169,671,470,668,200,253,231,521,258,795,154,886,840,012,784,988,029,203,925,
205,524,516,010,118,694,057,133,357,274,268,500,896,293,853,268,236,396,723,
158,479,698,111,816,538,608,698,279,741,454,988,664,655,994,151,867,428,557,
051,391,939,894,203,785,122,886,624,298,482,207,613,169,304,487,128,722,357,
548,350,017,890,778,968,945,812,233,099,529,648,755,366,729,993,100,340,713,
020,661,858,488,231,477,934,748,812,339,658,435,700,372,097,554,658,866,505,
550,970,169,211,641,153,612,226,452,651,377,912,531,139,920,749,953,559,228,
309,540,983,019,354,930,058,913,683,832,377,955,143,673,710,758,217,835,544,
400,405,035,310,775,372,271,751,888,247,861,262,696,124,606,953,628,741,085,
370,879,785,166,220,729,652,730,836,037,508,566,721,100,886,844,979,607,618,
804,572,865,970,748,855,611,175,073,261,927,920,568,684,312,802,382,850,017,
325,661,649,175,064,962,089,056,335,540,988,737,785,300,318,454,256,116,893,
684,261,104,189,202,051,557,305,216,296,973,904,960,168,439,532,603,207,652,
816,740,516,961,316,970,884,301,409,072,388,185,544,403,962,419,204,292,114,
816,514,622,926,668,156,581,003,522,570,867,512,355,046,820,183,096,810,999,
055,443,927,084,780,310,154,239,274,767,948,623,449,710,214,453,156,339,857,
877,920,347,367,544,521,153,808,672,018,377,871,495,959,733,181,617,966,388,
993,372,038,803,075,963,457,909,373,455,237,218,956,967,905,820,942,598,041,
194,428,879,475,964,418,621,066,532,115,285,264,235,651,656,409,592,368,871,
401,204,695,207,046,439,492,813,708,479,766,451,750,852,237,074,139,620,159,
431,255,950,714,552,352,604,983,380,478,971,090,119,472,538,803,292,727,213,
010,219,573,815,748,381,508,468,806,300,741,609,690,037,199,201,955,916,601,
572,740,814,334,423,934,616,240,922,548,163,468,328,615,850,180,629,825,330,
849,995,212,427,879,296,763,042,850,288,691,334,601,561,558,565,782,108,950,
679,804,673,017,563,120,526,636,965,338,123,093,028,000,905,149,503,131,210,
500,128,963,036,416,185,518,270,835,867,269,013,023,047,833,755,308,556,640,
168,287,351,480,910,865,261,255,453,657,202,447,813,878,397,476,935,007,112,
595,555,686,964,106,200,858,428,731,757,833,970,068,240,248,636,128,989,314,
978,106,713,887,423,213,820,195,126,115,321,764,664,566,584,822,943,873,143,
376,170,844,429,609,119,366,662,903,162,544,357,943,571,592,754,201,732,109,
553,421,619,417,350,148,950,603,935,683,398,764,339,200,983,395,198,836,414,
915,708,721,188,724,698,527,692,008,177,992,387,865,174,832,927,447,212,497,
490,325,297,850,679,669,158,862,825,633,433,575,496,708,357,123,252,075,020,
724,027,980,986,616,338,995,467,426,882,118,643,365,823,702,973,436,504,013,
296,107,316,188,684,312,334,684,600,200,604,128,572,208,117,051,219,475,194,
312,833,749,941,293,885,665,034,331,045,402,985,135,435,309,027,675,887,659,
393,645,437,170,113,524,093,187,739,725,959,849,702,329,595,863,914,788,781,
941,910,784,155,442,626,880,879,021,992,523,592,320,795,898,251,287,184,481,
770,662,971,834,459,632,137,966,638,603,254,755,653,833,136,834,407,412,660,
414,697,489,702,605,306,891,097,623,385,829,959,277,099,017,954,645,150,383,
511,127,125,440,625,302,204,604,217,602,101,919,898,374,625,644,211,706,679,
020,221,876,826,880,776,851,590,408,937,083,674,962,550,156,981,917,651,262,
312,903,794,994,183,463,000,501,879,605,519,428,949,277,061,654,165,271,871,
697,475,163,103,148,240,752,209,870,025,339,525,828,921,267,636,444,910,629,
596,257,138,541,615,702,627,262,817,771,304,425,896,307,407,921,690,403,776,
418,578,253,251,022,721,261,490,250,728,034,995,035,524,346,570,265,738,227,
866,361,528,778,171,462,622,430,784,040,333,691,835,021,271,917,151,211,771,
015,290,508,414,297,611,856,936,571,456,048,250,366,127,927,277,915,704,400,
529,120,055,655,837,993,794,047,610,112,064,211,706,288,154,669,280,336,923,
240,935,440,177,378,533,571,637,847,290,904,345,551,523,068,871,559,822,772,
571,670,375,867,004,895,532,001,310,389,864,534,142,779,888,382,579,931,643,
922,085,681,644,653,709,110,622,313,024,187,259,230,231,932,768,752,468,205,
369,337,127,591,293,292,075,774,206,165,898,657,559,892,376,917,743,212,396,
553,908,228,300,910,900,658,259,242,620,394,236,121,818,416,458,194,984,332,
478,151,608,391,461,116,056,892,868,625,611,135,654,624,724,511,043,435,668,
087,377,303,870,119,874,123,684,196,816,243,249,547,854,089,058,966,312,789,
686,367,360,345,397,229,459,889,468,031,891,762,184,229,470,939,606,964,182,
358,211,765,289,134,909,818,142,506,446,503,890,691,004,409,583,340,944,475,
307,797,205,751,874,430,702,996,676,355,330,872,731,943,301,083,175,483,523,
957,227,820,624,667,650,719,740,301,713,959,326,187,963,508,890,581,480,253,
074,849,128,109,741,629,746,651,343,325,150,812,309,564,163,320,009,113,065,
102,724,767,078,646,341,794,902,122,602,540,540,008,399,949,535,684,412,935,
369,017,753,919,274,007,690,034,994,235,820,638,671,721,674,505,658,599,064,
023,435,867,549,082,965,373,793,728,557,405,754,829,993,007,298,643,783,408,
547,752,026,577,785,495,988,472,362,082,140,116,579,631,574,240,361,234,155,
864,088,859,716,442,242,033,131,073,620,465,112,835,668,110,136,339,520,579,
449,125,873,514,082,417,494,106,533,392,826,434,386,948,280,604,974,842,364,
002,684,567,892,087,976,976,131,283,604,660,104,236,857,826,235,243,676,185,
386,502,998,505,764,199,968,294,688,151,534,861,228,641,231,413,873,809,239,
682,037,665,154,494,317,951,157,015,324,594,684,065,720,828,021,064,392,286,
429,234,863,983,379,492,297,140,540,551,183,417,927,011,660,644,656,912,811,
874,518,361,893,843,043,137,031,444,686,254,189,238,973,369,208,933,692,185,
438,865,573,032,486,085,023,836,215,434,435,041,436,210,545,777,598,131,689,
731,360,989,100,690,486,899,953,777,057,321,523,825,042,042,416,365,595,724,
280,181,277,083,093,944,075,185,988,440,312,830,827,774,780,738,913,293,118,
151,337,968,934,239,218,318,326,590,310,937,413,559,572,033,983,960,419,262,
135,698,716,883,538,678,127,920,482,132,136,417,560,197,117,063,316,520,039,
584,065,410,756,742,849,308,951,172,920,196,105,176,383,630,920,827,439,864,
222,306,886,338,597,922,349,838,899,627,707,568,063,482,911,779,483,170,549,
590,252,206,513,511,600,159,376,815,357,078,050,529,185,223,830,555,143,197,
685,279,694,104,325,928,540,358,602,217,021,585,582,316,451,465,055,875,259,
380,866,789,918,775,430,054,602,034,326,914,950,100,937,893,933,563,035,899,
830,191,657,708,849,589,123,963,377,466,620,707,310,900,082,704,631,149,724,
930,313,133,853,707,726,532,325,591,050,502,585,922,180,965,160,483,631,131,
801,810,783,217,052,721,733,001,392,640,621,152,010,004,895,899,600,145,948,
650,189,104,365,520,604,618,240,576,770,674,118,995,394,434,913,947,974,206,
325,256,056,604,969,507,942,425,804,013,851,376,958,199,465,595,789,410,797,
472,979,035,017,521,731,462,287,695,514,725,512,633,904,515,230,666,333,265,
361,262,276,166,486,990,409,833,445,712,969,156,199,443,140,398,093,168,496,
622,344,033,636,275,388,577,529,511,484,920,859,256,740,411,243,839,271,833,
119,624,381,682,869,971,572,101,905,052,237,174,678,449,539,210,908,710,708,
231,915,035,939,975,004,541,854,623,707,935,171,891,819,781,853,802,451,817,
533,061,725,210,769,704,821,951,935,885,672,270,826,676,679,702,076,303,141,
982,752,016,845,806,562,186,814,137,879,276,973,008,004,347,063,602,520,273,
877,783,831,893,687,641,603,725,460,080,849,698,214,102,032,207,057,697,989,
746,165,085,008,133,151,676,206,681,467,267,547,320,606,633,712,985,845,576,
461,001,654,992,318,500,792,040,035,906,798,040,549,704,036,117,107,954,461,
036,109,553,072,270,942,724,104,994,253,437,861,566,941,278,852,230,075,161,
203,545,767,716,841,971,429,518,261,743,633,063,870,403,171,698,563,031,891,
774,632,453,706,556,864,152,743,987,337,898,212,243,802,372,879,976,716,433,
413,626,760,235,740,117,163,151,834,835,113,923,127,391,580,705,189,959,102,
947,992,199,138,784,957,839,941,960,145,499,923,609,586,105,714,626,840,620,
787,178,285,717,431,299,958,954,611,230,655,976,498,428,518,462,288,838,413,
223,563,668,918,025,171,000,922,782,427,363,578,510,472,353,160,500,514,231,
630,348,323,628,213,313,126,075,537,005,540,833,714,562,937,440,626,545,733,
136,897,195,138,076,058,528,168,304,411,460,640,968,773,016,912,298,895,511,
217,272,671,761,208,237,839,887,116,924,264,236,395,519,067,859,872,725,056,
276,310,128,151,219,610,227,885,750,062,670,071,778,196,611,193,701,919,786,
672,424,779,297,715,916,306,779,218,549,208,321,667,364,008,717,768,446,072,
279,215,248,416,365,247,634,989,646,290,660,554,435,571,059,728,940,834,646,
444,243,496,692,747,510,983,460,721,930,005,345,078,930,685,241,009,917,564,
507,558,362,213,640,913,088,133,731,032,910,255,877,983,809,111,599,459,843,
407,225,165,626,562,082,399,028,003,547,535,449,418,736,539,692,711,094,174,
460,560,343,907,564,605,040,809,286,970,406,410,552,299,216,134,996,347,656,
893,756,554,069,066,194,347,360,897,596,672,721,602,644,640,606,863,139,327,
076,023,801,813,049,950,784,753,800,750,473,627,221,166,039,495,461,953,422,
671,439,731,821,768,230,672,707,930,427,619,207,897,647,560,302,613,589,436,
581,874,598,788,103,377,486,494,694,843,793,904,098,155,234,167,913,589,476,
455,233,736,256,670,023,990,128,001,760,961,883,595,816,705,216,204,905,847,
132,851,398,881,269,108,314,891,146,950,320,118,879,091,813,694,239,426,026,
969,809,010,117,194,899,744,363,343,816,960,215,618,325,439,573,299,111,799,
656,496,053,501,718,760,487,789,696,665,794,235,763,491,290,627,083,490,967,
357,798,828,445,866,606,511,015,111,426,185,682,744,506,519,601,998,992,478,
873,472,456,985,809,847,185,405,369,391,364,346,284,511,345,255,290,428,838,
734,242,089,325,713,148,775,603,262,166,871,557,086,714,756,286,933,087,793,
267,854,845,680,463,879,854,042,392,803,651,892,223,686,689,098,229,670,388,
444,783,713,852,390,328,293,632,558,596,257,826,387,485,531,135,957,164,369,
657,515,476,923,794,670,451,040,653,943,184,435,160,950,430,658,454,437,816,
288,175,956,905,882,279,789,774,456,503,100,451,499,082,104,957,764,458,165,
140,593,853,409,517,403,768,646,127,189,509,083,451,665,964,392,905,691,419,
518,008,985,465,596,305,231,485,789,254,192,452,895,066,052,354,238,899,789,
195,308,650,817,762,622,005,499,586,848,688,372,099,586,095,203,384,697,109,
743,914,207,757,459,522,709,978,629,818,666,349,536,265,833,764,272,175,234,
592,057,943,945,444,137,921,499,819,265,633,576,110,166,595,767,962,821,046,
224,198,350,864,309,637,606,526,420,573,418,480,262,416,577,032,813,961,171,
717,516,375,385,512,468,357,115,680,745,495,873,702,611,534,744,465,662,432,
406,771,086,058,794,093,593,309,629,633,324,796,574,509,256,672,723,149,272,
373,256,201,140,721,812,312,236,587,720,992,642,160,380,103,013,189,718,173,
985,242,864,462,730,795,843,451,603,986,830,346,862,375,472,049,624,774,360,
605,367,232,520,405,340,225,693,768,901,506,618,933,242,400,469,142,622,332,
181,005,130,129,215,780,896,760,982,759,735,665,146,905,408,496,358,435,392,
202,271,048,130,397,495,007,496,595,033,365,518,451,099,073,489,315,779,996,
728,446,153,173,562,698,473,188,299,371,015,032,367,503,479,707,471,526,690,
006,793,910,345,620,483,589,228,828,474,523,339,044,406,768,317,451,599,188,
290,974,703,577,883,837,521,867,119,438,634,835,986,467,962,308,951,967,777,
171,817,511,663,239,692,156,286,057,704,490,146,454,230,794,660,827,898,466,
618,647,176,029,432,339,180,632,787,574,753,637,109,272,877,882,327,629,188,
289,262,575,146,094,517,960,513,610,499,792,550,728,730,920,156,302,303,445,
987,438,574,301,874,167,742,299,171,606,446,383,272,033,835,067,126,120,529,
402,321,932,677,525,982,231,034,048,180,568,093,035,712,831,153,617,998,580,
290,807,674,345,780,818,035,425,581,959,402,200,815,901,269,510,725,746,743,
360,575,837,027,165,954,092,809,411,174,311,943,283,913,561,960,902,699,314,
986,252,241,036,918,474,279,891,427,105,094,903,677,207,979,797,642,637,378,
516,933,675,550,192,878,469,902,090,895,674,052,431,643,870,774,874,494,472,
219,870,750,174,088,461,501,904,457,774,706,574,962,851,814,978,378,289,687,
086,610,484,876,273,681,785,532,491,112,768,862,581,715,242,253,900,325,181,
046,344,636,300,884,970,887,051,891,688,051,723,607,153,623,652,614,362,719,
185,908,460,992,107,361,270,018,528,337,742,229,652,156,054,534,750,313,531,
567,140,462,146,896,988,007,433,133,695,072,747,634,103,443,778,194,127,413,
101,684,265,791,961,617,107,161,121,234,528,924,718,185,864,629,634,964,684,
584,709,796,939,680,827,625,754,167,177,895,486,024,326,366,663,536,253,230,
257,468,420,799,914,901,166,311,659,582,673,597,806,309,121,866,833,995,865,
448,392,252,472,201,041,207,890,328,552,292,119,954,043,893,813,140,779,453,
100,652,227,519,847,992,440,769,951,889,957,235,824,769,577,510,583,983,754,
290,447,924,795,527,865,796,593,265,628,526,813,745,969,404,475,385,061,196,
748,964,757,175,163,609,456,729,554,713,727,140,895,544,330,565,513,554,231,
919,841,705,201,393,150,872,965,654,218,310,728,330,775,191,733,308,779,043,
113,640,489,365,474,321,571,235,655,475,255,027,363,665,124,012,448,856,163,
447,685,322,034,905,301,037,920,995,880,182,199,536,621,369,050,033,717,969,
387,608,709,811,746,812,724,164,457,054,374,254,048,573,471,826,389,855,603,
244,888,407,920,593,708,413,660,927,305,135,158,810,034,675,082,309,952,613,
685,295,621,667,963,933,163,376,444,232,798,181,996,338,446,685,817,380,402,
987,947,545,845,784,945,751,072,561,152,916,655,611,580,417,840,833,104,199,
394,414,686,006,951,230,257,424,731,631,841,628,625,900,756,471,121,804,990,
484,361,703,247,055,827,220,178,920,048,700,727,634,301,852,099,570,696,320,
321,163,062,192,776,635,854,712,612,488,008,173,330,317,871,378,836,010,699,
702,015,986,855,255,128,303,587,951,262,573,302,634,102,852,656,421,561,658,
982,412,645,309,940,740,125,144,264,873,699,471,714,513,185,627,173,517,318,
056,181,212,328,198,580,957,701,096,852,341,010,319,918,500,946,977,624,898,
710,521,399,972,141,584,610,298,195,858,967,153,944,198,956,390,464,311,163,
830,156,225,551,027,228,782,853,211,263,079,150,332,502,108,545,531,922,297,
580,029,644,052,398,515,517,688,995,259,982,398,807,888,591,651,899,502,072,
014,635,667,552,945,367,526,976,745,485,580,092,260,179,993,489,767,044,017,
443,423,181,176,485,167,504,252,253,805,551,169,913,638,178,077,310,119,401,
544,138,071,601,071,549,696,759,828,959,511,450,130,069,942,790,457,177,393,
110,479,641,971,224,900,386,181,136,219,576,900,114,524,328,277,958,158,985,
163,318,508,063,473,966,998,399,964,237,281,607,558,316,385,409,877,870,152,
824,991,381,779,463,774,035,339,623,280,708,644,671,469,014,889,654,506,532,
946,017,707,407,649,421,578,517,101,348,522,112,239,380,357,019,584,852,604,
721,439,668,975,904,067,764,028,588,471,370,262,762,046,914,446,471,676,494,
049,569,599,549,968,105,771,123,165,634,773,333,683,243,738,454,982,057,508,
090,015,523,860,286,180,736,577,247,160,258,702,104,923,725,517,951,776,692,
764,735,891,169,607,004,203,732,974,184,695,661,515,655,310,036,313,575,001,
335,057,060,413,158,876,401,824,476,806,033,313,783,222,765,589,349,925,874,
618,464,522,661,100,659,413,382,419,063,446,513,782,355,891,415,115,134,365,
273,439,726,749,566,201,504,842,465,713,907,607,499,687,371,537,307,168,992,
704,063,724,649,380,016,736,614,473,434,737,699,313,823,940,925,773,423,578,
269,707,247,326,367,799,127,428,824,133,966,016,547,125,495,135,310,418,753,
783,016,566,826,242,656,787,998,167,956,097,401,441,848,426,452,740,070,656,
816,611,769,856,834,405,763,168,558,845,735,468,734,711,586,241,315,065,292,
977,548,688,865,241,900,075,175,580,769,518,754,039,705,311,455,037,664,430,
440,771,868,524,566,277,783,041,003,673,345,370,822,157,091,626,642,435,308,
912,619,444,298,322,671,846,131,446,601,314,253,028,568,215,121,670,759,091,
874,753,226,331,931,996,702,550,227,066,570,412,227,072,606,020,023,426,944,
406,015,443,321,180,304,245,054,477,649,692,811,942,733,322,716,461,310,763,
724,443,318,551,394,939,895,861,457,794,448,878,202,960,429,609,698,502,512,
891,011,464,741,011,668,021,381,296,695,626,251,105,354,635,493,506,447,683,
847,386,676,626,113,260,307,262,974,804,927,288,627,286,608,903,261,002,802,
139,160,057,775,563,919,597,529,386,712,712,415,440,592,741,205,151,310,815,
680,055,218,916,325,346,242,411,909,583,309,254,541,310,502,732,014,684,853,
215,833,820,702,281,377,555,734,080,075,498,980,330,399,631,771,619,249,309,
600,120,888,106,502,673,398,309,714,823,520,892,074,879,475,010,799,634,330,
504,312,908,733,459,586,081,490,382,677,240,916,297,506,311,815,433,427,119,
376,745,035,596,558,474,773,878,222,917,521,664,661,206,719,071,913,793,319,
712,226,730,348,904,544,067,903,957,494,544,212,121,163,476,190,649,230,332,
997,686,895,669,812,604,568,670,421,243,068,181,266,675,059,305,280,087,080,
593,439,502,656,587,726,465,312,314,417,031,776,404,027,671,047,884,951,368,
595,500,155,624,168,091,570,141,026,345,612,207,287,616,028,000,654,224,706,
862,390,903,698,679,953,861,055,808,237,098,251,511,320,051,804,436,410,371,
236,171,961,975,849,260,325,717,517,836,030,897,738,798,880,489,309,651,420,
716,248,807,698,477,472,630,386,249,336,071,997,171,158,597,653,235,004,047,
465,463,060,706,200,899,238,659,206,373,611,776,444,040,796,579,538,992,458,
779,556,678,128,670,993,109,461,510,732,155,060,080,913,375,593,536,348,650,
061,097,828,680,816,415,927,070,098,598,478,999,489,374,449,078,966,042,693,
317,516,143,281,234,271,076,734,661,561,508,746,435,510,601,649,917,514,612,
829,912,070,737,796,694,665,296,477,966,590,237,366,453,946,253,351,328,945,
877,040,763,153,693,515,304,775,071,939,444,048,376,708,141,325,416,303,616,
906,940,409,635,063,261,126,375,224,325,202,462,244,797,899,356,312,482,869,
720,954,099,104,727,765,039,841,246,821,379,758,140,461,651,453,589,405,560,
312,815,716,019,489,854,597,048,465,015,040,730,272,607,034,441,333,775,728,
674,872,597,101,957,498,639,152,638,657,067,528,788,329,968,736,408,667,706,
637,024,719,658,492,435,133,457,425,283,260,260,720,669,178,055,011,077,138,
338,475,512,085,193,523,042,525,970,644,563,685,856,963,608,816,802,777,210,
044,544,270,734,783,150,696,759,643,442,635,622,051,240,148,032,349,522,195,
298,372,459,442,690,078,470,722,665,562,523,360,350,235,721,453,756,459,448,
308,843,962,829,469,058,591,804,749,305,981,518,048,525,886,824,008,384,363,
742,869,494,955,270,032,264,356,869,755,822,027,657,913,361,451,398,222,465,
616,509,209,398,568,523,708,560,345,511,486,879,723,692,103,601,906,801,615,
767,583,277,312,857,940,557,158,194,765,403,360,685,295,643,691,994,543,966,
097,201,410,549,087,378,026,221,008,052,129,111,805,669,368,846,777,258,989,
878,836,879,141,963,657,217,745,333,706,520,375,773,468,516,151,965,556,309,
255,479,985,042,589,926,198,245,527,640,420,558,579,088,675,830,600,811,411,
761,121,106,517,768,775,978,189,605,695,658,466,537,409,372,890,421,467,183,
745,709,502,517,859,755,875,137,225,262,020,161,376,695,941,235,093,124,299,
146,390,053,300,079,023,560,856,474,622,121,154,544,826,758,214,510,106,845,
211,731,081,044,637,649,519,986,375,349,151,361,052,259,630,583,479,802,909,
762,531,779,316,271,398,143,152,905,074,819,829,731,970,885,856,939,707,263,
373,209,247,614,020,418,955,610,137,900,606,128,636,879,287,137,225,896,131,
307,045,295,034,571,207,384,586,452,650,154,543,121,153,990,922,055,661,758,
995,782,950,094,279,624,754,026,029,260,537,499,370,300,186,295,539,275,222,
108,544,509,281,697,037,016,639,805,827,494,161,952,129,961,283,070,544,945,
228,977,261,423,132,920,673,960,330,004,483,667,518,274,693,021,290,233,787,
715,573,866,020,561,441,252,393,581,428,729,041,199,482,017,420,525,681,158,
231,536,470,061,061,885,053,664,822,644,352,423,902,007,989,530,716,209,354,
779,636,272,457,301,135,763,671,698,710,423,684,139,274,221,994,012,558,525,
627,459,030,565,335,187,720,274,764,010,258,563,712,823,617,539,298,514,467,
371,016,568,444,673,204,705,636,585,941,193,439,921,795,926,767,879,903,528,
742,146,458,995,091,951,794,270,901,977,645,492,374,382,618,636,534,744,686,
585,947,815,659,506,982,489,576,942,477,992,509,982,163,697,407,546,221,005,
723,587,061,653,358,879,325,076,483,329,364,898,256,017,421,252,484,685,636,
186,595,522,595,666,619,777,601,945,844,803,422,364,165,732,108,796,810,043,
814,122,962,010,579,990,607,057,111,713,869,537,822,136,844,985,710,604,683,
724,819,897,939,079,218,983,152,348,046,392,205,589,236,737,082,485,857,738,
498,758,683,490,344,946,782,836,972,528,466,571,838,690,759,575,180,742,218,
511,323,493,858,500,707,792,967,548,273,829,319,852,031,093,804,921,342,761,
310,683,227,990,643,651,875,106,528,129,394,061,191,824,927,826,226,709,223,
366,582,566,078,340,403,382,908,763,087,435,250,396,373,260,235,912,855,303,
228,967,771,974,835,974,282,482,636,034,428,852,017,649,095,942,153,217,818,
295,150,466,398,767,158,072,534,886,838,800,516,966,787,963,386,755,264,292,
783,907,578,829,336,056,944,259,168,689,847,344,617,845,220,455,527,771,867,
680,111,608,545,629,096,309,416,925,888,120,510,874,071,218,190,223,148,442,
320,367,631,281,906,552,938,644,253,462,269,134,997,267,831,775,549,340,272,
723,823,816,124,229,679,440,365,211,908,360,174,532,876,126,894,274,061,881,
407,795,872,557,323,562,245,135,854,793,022,090,161,278,279,089,521,517,368,
128,411,456,327,399,412,496,313,929,953,101,124,465,215,739,658,946,598,490,
596,002,524,372,603,599,142,415,833,687,879,768,508,656,416,658,829,515,800,
963,767,655,148,035,371,811,450,423,959,890,062,570,058,113,374,293,632,380,
704,189,137,954,982,430,008,121,533,957,873,370,380,881,244,069,083,632,846,
884,256,061,454,973,067,362,813,534,015,866,567,581,979,415,531,813,755,053,
387,132,531,046,618,805,034,503,076,826,552,482,203,150,402,959,244,959,576,
392,076,528,934,139,494,180,087,409,318,137,974,897,824,519,912,906,713,178,
353,475,194,175,493,695,342,112,475,607,083,665,512,594,979,605,137,906,504,
808,826,939,388,898,743,967,061,842,071,251,771,802,393,432,084,959,317,810,
511,597,831,319,087,443,885,139,216,873,427,664,567,966,873,890,840,342,403,
594,314,072,550,166,140,767,799,851,779,723,716,795,673,575,428,865,008,796,
426,214,346,076,064,804,712,431,329,519,770,108,602,487,560,489,472,314,985,
131,119,196,988,888,166,132,170,422,219,694,450,774,446,769,406,859,287,239,
360,794,550,760,344,842,475,829,017,427,495,224,826,774,800,534,656,079,701,
631,803,322,476,709,564,051,263,608,479,421,110,265,276,766,146,233,181,775,
874,012,981,366,310,285,019,882,623,385,529,877,365,139,760,870,654,308,600,
337,895,873,395,471,574,219,025,902,554,930,398,503,886,230,150,833,825,626,
821,655,810,387,523,972,646,876,898,665,400,175,878,433,815,509,085,128,466,
194,837,145,144,628,504,133,848,697,590,600,772,606,888,270,362,789,266,054,
119,469,832,159,504,541,471,949,099,627,641,402,186,534,545,316,146,237,576,
589,368,891,616,064,205,815,719,548,027,305,123,883,362,968,450,362,046,470,
947,711,793,913,402,140,983,530,295,696,403,621,181,434,740,211,970,656,574,
554,889,153,362,025,855,140,005,962,312,835,061,770,958,196,367,253,245,941,
141,262,573,967,750,984,777,758,259,236,291,478,398,980,797,132,590,258,294,
291,337,441,877,697,740,964,269,782,563,120,672,831,830,440,216,888,703,399,
248,579,808,713,096,819,860,025,792,622,916,908,517,872,860,989,064,021,640,
736,929,764,232,222,901,792,995,073,372,611,035,899,181,616,209,771,420,655,
683,044,625,743,682,725,886,756,447,311,099,684,058,314,569,164,858,007,683,
414,556,769,417,304,487,925,109,210,655,950,659,571,333,868,507,845,932,407,
537,197,713,479,538,471,586,681,998,092,946,273,288,643,115,289,443,672,089,
439,019,995,206,714,468,875,094,870,661,340,119,663,773,370,496,900,267,830,
754,286,932,428,321,200,522,904,969,134,659,524,060,684,622,881,638,440,013,
759,741,396,005,803,710,179,629,492,260,718,585,406,084,196,587,584,625,528,
046,144,486,057,978,337,094,427,730,576,579,706,629,749,351,440,257,258,052,
409,410,221,222,385,492,707,956,276,152,003,876,607,194,998,720,622,893,409,
942,572,815,596,372,382,050,753,660,043,214,730,781,346,570,767,980,766,447,
201,141,006,277,819,707,686,179,574,190,941,449,763,645,245,664,315,316,470,
769,210,135,439,533,465,722,174,903,451,245,507,083,244,944,327,068,414,265,
075,625,493,057,949,770,855,329,814,345,875,055,580,930,127,126,480,533,728,
498,293,106,354,200,852,575,740,973,343,185,494,807,199,675,350,116,040,582,
128,291,455,993,359,647,533,314,077,957,737,082,481,760,213,774,283,766,904,
297,842,699,640,742,802,910,249,225,001,050,563,504,579,186,002,968,049,459,
186,650,611,195,215,138,586,082,882,088,874,838,164,905,897,627,598,765,571,
388,913,423,110,544,393,650,930,340,431,285,592,439,922,344,214,294,416,205,
789,868,102,929,231,795,170,461,023,559,020,428,294,947,394,459,146,237,298,
343,487,348,976,392,289,271,728,283,453,028,627,518,562,422,015,654,952,568,
552,011,465,120,993,430,400,161,932,928,687,354,913,598,895,781,067,065,023,
915,686,975,902,992,179,804,548,192,943,746,517,604,625,302,631,279,885,259,
577,616,718,700,660,843,396,237,066,721,297,395,393,538,423,432,615,896,028,
231,161,255,219,922,977,733,171,068,309,286,488,414,267,187,247,343,593,630,
356,204,131,788,173,284,890,757,756,060,027,550,533,759,650,659,809,698,037,
548,203,729,941,791,261,879,889,487,226,601,971,425,359,063,601,831,657,457,
431,296,761,023,383,992,473,463,473,073,348,666,226,626,045,075,232,626,154,
096,874,651,863,549,122,292,907,972,448,411,393,679,968,017,652,258,219,133,
283,766,067,049,781,147,771,565,295,678,394,986,818,288,311,985,211,945,481,
826,583,896,428,057,887,348,211,236,123,689,357,456,743,862,893,874,916,562,
273,887,274,027,982,832,831,066,123,722,729,720,870,379,764,988,285,122,109,
088,231,754,339,055,626,300,714,084,061,477,769,627,909,507,065,540,641,815,
126,885,849,116,922,885,722,534,908,359,038,348,898,074,325,991,712,792,246,
962,814,536,260,962,902,958,322,364,187,264,569,628,324,958,460,680,837,676,
023,659,989,928,783,751,281,885,445,501,050,490,297,483,324,568,697,153,362,
978,501,902,416,356,247,125,865,467,329,709,750,598,652,464,790,901,844,535,
142,280,056,728,843,637,833,880,540,298,884,267,810,778,869,701,133,498,096,
731,766,323,844,373,812,593,578,149,011,559,811,265,305,680,864,891,608,321,
708,297,022,731,406,873,471,768,902,799,095,395,366,384,243,161,373,045,050,
842,019,913,033,407,745,374,958,462,575,849,914,428,304,004,556,759,483,730,
401,213,624,262,316,251,920,620,536,751,476,181,396,195,645,724,771,172,563,
726,811,836,835,037,466,803,028,803,888,666,075,732,221,976,055,688,586,708,
737,117,655,586,816,741,746,996,637,045,100,348,268,035,906,097,011,793,255,
108,209,311,896,999,991,038,574,286,172,270,111,141,441,950,969,482,931,111,
888,136,380,292,768,833,857,284,339,523,489,019,606,259,560,831,162,333,381,
951,527,179,559,327,114,597,184,795,904,389,923,334,250,209,418,720,115,293,
669,349,335,903,601,818,419,278,544,954,806,109,974,468,065,438,803,521,749,
014,392,751,666,647,249,450,396,152,988,586,478,127,926,749,905,102,790,604,
473,453,006,941,939,209,126,778,410,450,149,813,694,422,996,169,242,700,572,
766,359,517,346,658,939,326,612,293,180,244,868,207,874,808,590,945,404,145,
837,154,619,478,905,561,110,682,681,110,480,687,181,944,048,300,482,734,492,
060,600,964,888,170,293,062,889,736,010,309,324,576,921,595,603,551,629,497,
290,357,565,338,048,349,109,336,843,873,786,372,783,344,387,276,026,692,452,
658,621,237,774,308,764,346,751,655,047,122,463,746,165,161,265,726,685,431,
867,920,626,598,889,012,549,020,627,475,227,169,254,966,933,299,496,164,236,
772,613,476,230,901,601,650,564,328,461,418,582,899,377,059,550,066,032,565,
425,396,967,545,560,848,278,959,998,239,011,805,175,253,416,139,669,392,950,
130,885,441,491,767,427,767,498,393,365,848,653,251,367,560,253,883,818,823,
376,339,219,498,628,704,369,058,342,906,862,509,722,271,093,812,882,846,303,
332,938,540,720,197,716,129,154,532,824,795,161,979,727,274,110,386,020,452,
956,344,204,812,389,098,350,713,245,969,212,277,658,214,604,044,916,320,739,
774,770,692,182,673,044,934,216,867,497,902,567,257,891,049,085,570,512,412,
518,922,557,363,275,164,905,951,281,825,303,265,028,908,369,031,544,761,684,
879,486,045,793,610,753,132,367,058,047,840,090,049,292,323,205,795,698,575,
277,640,717,847,036,637,043,346,415,966,940,918,703,963,569,753,878,911,523,
465,844,927,472,466,611,162,199,936,400,409,967,905,436,486,417,700,300,839,
865,499,151,691,329,560,085,260,825,823,097,964,345,306,628,989,693,049,188,
188,667,254,050,267,739,216,884,606,254,514,884,437,688,929,024,698,861,282,
471,465,743,281,044,873,469,560,020,137,348,356,789,520,444,454,263,642,412,
824,221,240,665,995,433,010,146,691,923,782,359,294,219,674,139,751,622,558,
433,830,765,761,161,748,468,175,862,379,575,340,236,838,419,711,650,462,351,
773,152,719,863,156,925,638,285,489,720,662,717,724,360,372,332,367,728,426,
077,628,697,560,857,582,151,478,332,538,077,414,833,415,628,676,352,033,971,
976,185,493,256,563,605,420,821,446,009,103,995,904,427,966,216,278,766,054,
958,526,883,312,467,464,374,974,027,989,611,753,477,308,782,834,209,550,929,
730,016,344,443,295,761,658,611,875,688,100,623,722,126,343,580,898,755,077,
813,939,810,590,752,680,831,089,893,633,217,921,668,945,889,618,773,005,455,
490,426,191,642,048,662,154,606,762,258,133,441,553,570,635,476,833,956,022,
488,693,727,417,202,154,963,325,641,054,573,102,140,055,424,306,818,682,937,
288,440,329,247,021,020,907,660,783,501,178,720,735,612,701,050,076,725,190,
396,833,532,335,418,658,125,088,964,465,513,118,548,262,409,980,960,937,746,
695,796,353,430,883,399,603,890,189,032,337,699,557,281,403,107,387,078,973,
772,618,764,054,610,217,896,617,111,055,562,107,862,263,912,357,388,902,528,
335,238,515,585,026,074,315,192,730,334,938,667,043,383,408,568,258,405,851,
585,554,599,082,556,431,198,297,727,012,347,134,104,997,650,137,666,792,863,
582,599,300,043,349,452,755,867,625,186,363,947,158,452,813,055,208,544,901,
840,047,922,514,165,714,131,860,621,818,748,475,787,352,951,701,666,832,147,
133,152,554,227,639,552,584,628,313,280,714,227,487,693,584,986,379,570,714,
122,993,619,781,459,001,961,221,003,178,447,437,101,034,489,552,946,149,392,
978,411,786,543,712,104,713,731,085,853,394,337,645,911,047,936,281,999,878,
559,600,613,889,902,773,278,462,015,050,392,402,832,566,582,857,406,217,695,
163,950,014,561,869,756,401,605,364,214,556,238,870,680,717,677,612,190,657,
559,402,393,353,446,528,580,855,046,377,113,603,224,876,958,633,778,016,137,
457,889,503,290,456,998,394,816,894,273,878,630,550,711,800,585,103,131,358,
370,252,900,560,586,341,173,287,424,872,672,775,467,714,375,561,517,090,940,
852,380,381,397,972,058,921,880,359,310,328,883,427,876,826,138,424,841,234,
567,155,723,927,145,386,989,981,505,456,432,773,762,548,237,580,322,479,507,
246,485,625,475,633,922,306,923,287,735,176,035,788,935,236,884,203,960,330,
516,882,084,409,559,245,749,921,585,762,970,376,510,369,598,965,705,886,302,
801,468,771,738,989,616,205,350,292,032,296,234,810,959,136,147,397,494,802,
011,495,736,188,976,389,174,560,424,180,608,805,544,609,928,932,700,369,751,
146,197,898,323,870,422,445,508,207,415,134,183,910,918,760,622,575,886,541,
320,434,088,382,078,637,358,891,448,396,230,135,351,075,588,902,224,952,832,
007,168,349,311,485,860,990,369,346,038,899,554,231,756,812,243,303,349,181,
218,602,645,048,788,923,482,700,456,889,046,749,517,908,570,309,873,311,470,
335,696,122,501,194,344,073,579,793,859,235,828,296,628,613,905,756,792,426,
600,804,921,452,469,463,991,665,745,602,084,598,234,686,351,583,628,695,779,
149,638,788,281,466,459,730,760,812,155,718,345,296,548,248,864,629,357,197,
830,160,575,325,343,901,688,216,844,181,816,922,260,091,502,204,617,464,864,
586,113,971,586,835,234,090,938,955,911,441,760,046,277,033,172,174,034,373,
074,302,294,939,968,239,355,811,933,488,442,363,473,298,205,885,221,884,542,
388,295,486,639,980,342,798,640,422,960,822,408,421,412,740,036,918,613,608,
709,301,125,666,982,008,062,956,293,051,726,524,240,281,172,545,476,636,698,
188,297,226,689,250,988,592,809,658,398,435,696,067,004,639,714,581,435,178,
849,749,608,433,920,716,630,832,274,797,888,628,735,423,730,218,964,414,348,
915,926,419,587,609,353,112,013,821,470,961,764,992,114,496,964,381,684,984,
284,699,109,254,329,833,243,362,584,550,819,908,031,680,274,792,108,657,349,
954,059,428,535,282,768,298,621,424,370,514,852,278,894,951,197,424,755,112,
628,301,358,072,409,657,438,445,107,675,757,831,203,210,088,552,321,465,902,
052,200,830,354,146,897,497,151,052,913,302,664,798,086,848,046,643,598,779,
594,772,032,356,010,096,428,701,092,755,508,771,821,000,099,486,733,974,744,
667,231,923,390,138,408,721,960,413,336,301,048,038,179,161,389,686,849,671,
709,049,920,405,563,420,298,182,361,918,974,208,204,432,716,944,782,979,556,
233,768,786,555,086,653,181,182,409,869,197,271,740,250,566,114,034,414,280,
013,188,961,517,599,612,102,665,470,948,349,233,226,767,930,208,077,469,089,
959,511,822,233,374,693,640,859,927,922,549,068,123,014,092,220,816,044,754,
067,996,382,867,910,367,254,176,225,943,581,767,250,052,666,692,386,120,018,
660,614,403,647,607,641,497,536,407,381,586,154,674,014,843,577,416,092,425,
189,485,207,549,655,956,472,787,258,114,806,928,580,677,235,166,980,136,494,
788,728,632,731,476,651,635,637,955,422,986,606,355,454,308,657,991,717,711,
110,544,337,668,546,506,065,970,558,883,654,095,154,238,730,350,661,766,165,
684,386,124,653,732,340,676,238,459,111,091,179,093,186,252,494,922,186,962,
742,997,658,119,062,374,277,410,120,041,246,907,827,008,094,459,874,100,096,
854,114,208,721,615,510,891,115,500,234,670,867,548,564,364,087,551,014,577,
460,087,498,942,097,341,794,289,560,282,745,832,514,450,595,244,982,808,828,
813,721,394,947,713,314,333,479,663,588,133,990,693,455,792,425,521,844,943,
550,430,153,603,794,678,971,149,327,129,312,344,905,476,007,311,225,932,787,
167,777,215,914,866,500,767,363,248,769,017,355,894,776,145,005,830,637,015,
557,211,843,169,471,938,528,834,613,694,010,585,908,879,378,700,280,076,076,
497,724,351,774,515,250,054,410,075,728,203,590,845,823,343,984,611,280,147,
982,111,318,068,965,569,032,609,091,430,040,689,487,666,693,433,379,875,028,
234,543,298,029,069,960,801,949,994,115,887,396,923,281,440,655,708,010,169,
359,255,125,231,936,599,088,686,656,779,726,459,374,989,958,316,959,145,606,
432,970,097,939,098,503,781,673,668,297,536,048,122,806,290,743,526,453,099,
342,472,822,997,218,010,026,912,612,514,840,206,846,183,680,242,956,478,679,
283,535,894,290,443,562,352,577,190,100,838,694,007,114,142,120,157,881,171,
245,493,013,585,054,304,948,132,875,925,133,168,419,212,320,929,017,522,892,
712,033,403,188,022,594,798,736,703,528,213,915,089,443,054,834,733,215,983,
793,623,213,791,592,541,099,735,012,878,969,884,971,833,056,705,655,512,804,
582,533,034,430,084,037,564,466,880,963,822,164,027,942,011,823,855,856,931,
838,934,620,655,502,956,670,857,600,180,712,119,363,372,144,486,037,685,485,
132,698,613,309,604,115,434,806,121,876,340,536,712,226,545,989,559,700,174,
505,096,113,981,257,141,435,194,175,786,685,012,306,947,270,859,854,995,514,
421,885,282,004,988,830,944,858,312,831,261,838,093,038,925,703,198,611,435,
557,113,027,411,050,491,822,828,713,219,332,119,171,477,215,604,930,899,188,
417,600,497,191,078,435,555,870,365,096,023,797,730,534,375,669,097,629,916,
650,383,766,089,795,631,992,604,028,454,783,922,724,753,080,257,579,807,419,
780,516,099,599,536,357,978,636,059,188,770,290,595,998,963,407,389,449,663,
629,172,258,708,583,131,429,252,483,968,067,124,584,646,658,347,223,065,548,
774,752,326,116,946,785,336,026,543,097,322,607,746,594,593,232,047,056,950,
310,346,357,246,251,611,996,761,287,134,168,945,946,561,050,344,630,525,445,
712,516,817,403,640,445,584,024,307,870,054,449,163,641,383,421,482,428,747,
457,267,165,717,561,066,821,754,235,100,553,914,554,166,769,899,213,187,159,
420,034,157,109,336,805,687,820,470,180,459,812,846,103,144,483,452,426,098,
867,122,023,496,916,899,302,250,126,903,074,896,017,971,584,314,574,915,434,
216,228,701,953,674,053,028,312,002,935,683,573,265,289,184,237,337,478,687,
607,664,211,448,551,492,263,609,840,597,291,335,399,884,944,459,398,366,181,
257,416,512,720,803,487,219,283,048,956,426,867,806,225,913,454,539,291,567,
872,936,136,387,443,175,969,919,729,867,338,849,907,133,058,909,632,072,813,
781,418,155,085,957,520,113,633,244,210,239,826,212,361,809,684,841,825,012,
355,331,799,006,061,665,566,832,967,424,423,791,990,893,286,462,704,952,774,
049,001,382,212,228,251,996,959,720,808,963,969,641,995,008,925,432,090,537,
990,052,362,152,219,055,540,430,507,500,949,076,246,680,780,665,688,069,042,
281,868,801,690,764,314,545,216,014,153,528,550,666,445,910,676,990,727,538,
956,582,344,879,801,878,859,709,133,915,315,858,378,544,150,961,593,538,636,
134,191,249,028,537,405,369,695,084,578,240,509,294,251,890,389,042,550,067,
698,776,431,318,606,513,893,860,749,726,299,930,316,448,113,373,074,318,613,
360,985,982,997,807,873,959,256,259,268,056,209,007,122,766,809,850,522,913,
589,846,484,415,533,398,228,096,646,681,821,107,206,645,432,800,276,908,366,
508,728,299,669,112,568,850,036,602,248,176,880,493,335,198,873,000,386,674,
148,417,059,630,195,513,946,460,158,391,505,704,501,019,473,465,880,564,425,
113,838,964,282,637,625,335,932,749,969,727,696,638,479,256,307,450,200,732,
125,641,887,398,859,997,541,118,862,810,086,620,188,206,067,703,935,031,261,
256,979,106,466,852,625,501,206,691,039,495,501,220,552,139,731,036,069,765,
155,606,816,124,688,906,055,945,698,986,040,921,662,608,034,163,412,031,275,
219,754,350,081,999,924,254,092,956,043,222,813,874,388,240,985,305,920,171,
559,112,296,369,909,696,792,220,554,891,448,534,458,205,751,300,649,361,588,
791,473,646,596,907,593,894,276,528,247,402,882,400,884,903,372,918,653,098,
089,939,971,065,041,041,997,670,060,035,522,753,447,969,260,259,169,016,448,
299,974,557,130,301,423,501,798,785,503,389,354,414,038,067,776,613,709,578,
310,165,309,951,237,069,676,459,859,528,350,023,247,965,719,455,660,516,642,
935,128,616,550,510,421,355,376,019,883,207,129,070,097,081,062,200,009,728,
700,831,967,574,329,564,087,444,377,114,722,194,183,873,579,779,903,518,529,
216,951,436,269,583,116,655,514,010,322,487,991,089,889,324,408,464,873,648,
840,693,359,540,079,283,777,362,655,878,726,784,154,451,146,514,702,160,646,
325,738,109,259,043,303,616,846,176,486,496,934,869,368,884,341,125,787,973,
404,617,175,885,103,270,737,380,576,759,319,229,821,324,217,606,439,292,073,
402,513,308,691,201,986,866,174,202,001,085,523,228,928,301,762,331,434,600,
158,148,569,614,772,868,859,623,123,526,561,693,794,242,019,379,888,775,960,
054,390,755,555,736,713,975,547,878,520,445,063,676,761,837,250,291,320,530,
030,069,354,426,738,606,216,947,184,808,555,296,647,071,092,554,502,903,834,
319,506,485,545,829,848,069,290,380,643,322,663,373,856,285,661,668,931,434,
721,733,697,022,965,368,489,421,352,632,533,513,154,280,699,539,392,689,726,
471,869,129,557,293,961,786,837,733,079,783,984,478,987,573,349,790,743,202,
211,139,351,472,035,191,060,198,091,797,355,229,695,576,630,221,104,622,236,
698,938,388,563,678,465,281,483,868,698,132,580,696,376,777,463,303,958,654,
357,191,302,664,365,723,550,353,747,396,606,253,780,313,386,423,193,692,729,
096,012,589,431,578,111,124,219,372,417,910,648,831,977,653,427,730,889,737,
650,096,372,118,388,266,591,487,529,190,834,252,782,957,341,442,442,967,313,
960,169,581,481,748,053,100,984,922,265,215,011,868,034,302,347,641,752,769,
534,927,740,612,833,478,762,040,020,768,419,955,040,753,987,080,382,065,832,
835,192,194,551,598,763,871,195,132,044,150,539,193,798,817,994,829,591,574,
482,124,840,395,044,965,477,503,433,443,235,071,579,200,890,032,952,408,695,
484,401,699,669,615,211,071,913,244,740,425,132,341,078,761,287,756,175,096,
725,673,825,375,146,735,678,930,627,374,783,223,528,750,666,189,103,072,769,
278,902,130,589,798,766,019,650,635,575,825,900,795,670,825,311,729,051,746,
867,940,796,762,115,176,127,616,287,894,395,182,158,225,671,571,957,797,723,
707,221,082,389,951,371,331,129,439,336,857,805,661,989,705,627,856,800,657,
062,654,998,347,538,750,653,805,423,430,686,087,193,793,936,909,954,908,152,
648,968,729,656,996,026,679,379,186,704,406,259,619,901,173,725,185,356,366,
100,616,096,929,353,307,574,499,981,197,061,181,524,960,686,094,799,675,723,
675,248,293,478,754,472,534,190,806,628,707,219,581,184,550,838,338,798,112,
571,547,309,374,005,384,637,251,700,304,184,420,357,486,918,539,011,115,469,
167,276,608,151,020,984,874,581,128,193,324,726,586,380,137,404,972,688,388,
907,815,424,802,738,788,306,668,167,899,817,816,096,766,694,023,361,158,588,
580,464,798,716,910,044,055,252,671,505,066,652,620,184,582,417,987,401,457,
977,170,007,659,175,920,931,049,359,794,062,173,501,359,066,258,869,938,296,
657,911,156,586,323,879,805,840,780,001,145,722,377,448,442,778,900,856,076,
165,063,683,622,907,307,839,498,886,780,350,128,287,674,235,413,882,233,009,
609,510,650,935,535,648,040,689,063,676,960,200,040,063,635,973,138,457,236,
632,685,087,836,757,817,704,727,872,972,503,664,132,451,163,675,393,121,115,
004,749,819,846,073,013,144,553,163,486,641,211,225,014,693,483,251,398,874,
065,942,748,188,717,801,761,204,394,095,976,433,957,252,114,468,976,798,212,
089,783,157,737,367,204,781,706,254,397,467,723,664,865,564,470,388,627,839,
881,626,595,097,739,928,224,805,843,449,452,397,976,140,484,325,924,735,747,
175,484,209,907,635,760,241,976,153,807,924,668,844,715,637,580,600,646,907,
651,653,484,595,305,403,832,197,711,040,248,195,392,870,154,088,318,837,940,
701,197,592,577,921,389,595,730,301,792,865,069,534,455,720,959,742,817,582,
878,886,939,795,416,379,490,917,701,349,360,275,516,646,757,859,671,588,732,
698,944,394,749,513,822,486,587,079,296,887,643,618,776,326,261,792,197,893,
462,091,705,694,689,986,528,068,173,491,156,322,630,685,214,002,841,602,987,
773,220,681,948,582,862,969,636,913,441,837,639,111,696,851,294,011,068,567,
830,181,982,738,054,722,669,714,315,867,053,292,368,198,299,764,176,759,047,
196,891,649,413,992,115,169,814,739,342,766,326,467,122,689,298,040,971,910,
554,640,005,365,888,572,181,228,268,017,096,009,213,590,684,969,060,447,606,
159,784,658,735,024,960,721,056,164,513,667,962,087,740,120,678,206,356,184,
551,372,351,262,898,834,784,061,134,323,611,882,884,042,521,538,039,447,891,
836,767,388,185,521,130,292,285,429,099,636,364,283,232,768,592,226,962,997,
889,891,793,009,272,798,658,260,746,370,561,157,349,507,510,676,686,698,055,
900,920,195,397,260,979,164,413,260,906,971,479,636,817,899,485,111,527,932,
787,080,656,526,429,345,533,152,314,027,786,882,353,140,354,792,307,171,058,
409,120,143,197,086,896,706,241,507,386,629,047,227,343,476,363,361,821,682,
790,383,747,770,069,892,825,595,370,486,745,833,547,081,748,045,518,937,162,
877,510,425,891,374,897,844,466,116,322,769,953,975,960,834,941,864,031,033,
822,160,170,456,751,767,408,865,955,121,916,788,672,231,749,804,921,598,076,
376,480,505,780,838,048,432,675,023,573,827,162,803,735,070,834,364,872,062,
702,430,238,635,681,727,353,907,263,800,487,650,183,575,192,296,226,520,135,
386,023,862,219,333,092,855,882,994,001,890,275,616,673,967,388,274,903,586,
853,520,558,338,950,014,479,441,227,348,424,146,531,907,086,711,934,988,855,
490,808,189,780,936,626,708,487,468,799,095,021,228,933,237,627,001,374,722,
390,028,365,096,776,919,818,772,030,768,446,658,497,405,940,594,593,364,781,
661,490,282,548,690,611,631,140,457,675,160,723,878,476,848,008,491,472,161,
623,942,126,028,788,928,949,099,686,085,282,092,092,521,856,112,477,020,822,
284,621,877,648,149,697,625,324,062,047,269,103,193,498,384,752,853,456,139,
645,554,778,041,767,972,544,789,587,385,197,168,038,296,978,388,501,901,082,
288,744,121,833,450,571,968,535,275,518,664,172,918,375,671,093,606,783,580,
060,306,365,536,891,410,628,650,299,937,460,279,816,228,719,790,909,309,824,
433,200,810,587,487,130,138,069,109,367,505,406,709,039,428,389,075,652,862,
584,987,220,561,815,849,471,438,359,316,866,479,878,455,290,680,574,132,607,
441,924,335,979,144,613,806,847,173,439,558,504,760,562,307,761,456,705,517,
880,769,956,437,064,769,022,741,118,867,101,254,776,371,485,234,045,407,040,
461,858,667,700,923,430,709,152,704,785,843,837,405,292,323,199,585,937,057,
817,787,030,859,312,290,807,263,848,474,386,998,827,194,946,279,553,020,835,
005,510,232,761,923,382,646,231,971,619,520,052,485,638,353,890,820,076,647,
403,905,886,828,081,819,094,906,587,249,022,983,998,919,314,774,413,709,914,
586,942,427,087,877,017,551,974,228,863,006,359,106,018,427,591,197,725,457,
940,946,525,090,255,916,430,270,086,253,230,657,803,253,048,301,300,196,744,
750,428,142,938,700,905,296,612,460,555,322,048,212,419,645,226,682,430,646,
809,344,943,002,966,833,791,775,785,025,213,847,701,026,924,149,108,337,565,
897,895,212,827,438,313,632,773,934,924,499,822,558,209,971,199,539,229,333,
966,799,689,821,452,973,001,799,935,197,749,006,443,385,832,956,689,237,692,
400,700,638,160,378,832,556,126,512,795,093,771,077,339,915,893,541,777,761,
486,634,098,862,601,020,650,625,027,595,866,539,569,701,284,240,957,550,678,
749,097,817,905,208,835,287,894,784,247,799,964,747,949,625,992,279,961,608,
470,561,486,882,904,761,529,160,898,062,108,915,429,950,436,973,111,184,007,
818,057,407,921,299,020,664,836,248,222,163,372,910,355,720,458,702,030,010,
648,006,103,892,576,600,304,810,276,202,136,281,835,242,310,968,373,431,778,
116,759,069,418,142,666,274,679,367,490,330,385,989,920,258,719,765,216,847,
111,245,050,558,265,365,512,213,437,137,738,426,846,996,617,485,676,209,659,
550,779,965,574,584,474,433,554,494,934,547,337,003,381,052,610,467,821,786,
983,557,176,128,559,317,972,829,682,300,102,572,126,703,484,132,901,185,669,
413,632,145,749,488,392,491,587,767,537,619,430,226,661,229,440,960,576,789,
429,060,269,627,117,332,449,393,660,805,036,479,541,901,982,083,059,781,000,
052,745,112,150,466,755,386,366,731,496,122,406,891,924,192,404,269,682,852,
357,322,742,915,092,813,282,968,194,576,343,186,045,683,066,207,229,699,063,
288,846,244,254,636,435,292,627,771,836,790,974,583,389,387,808,213,613,058,
582,303,009,509,158,854,386,238,612,628,557,415,375,226,243,207,467,300,047,
973,590,239,553,573,576,452,913,481,935,774,066,796,503,029,162,138,025,664,
704,677,648,932,995,998,629,827,628,276,611,395,122,640,031,418,745,783,868,
620,646,338,011,430,348,621,450,885,099,340,202,873,104,324,943,853,992,220,
922,677,576,636,535,467,121,799,928,790,571,890,284,579,192,570,026,578,931,
324,397,204,610,288,466,463,196,480,809,575,419,735,077,630,031,427,722,108,
825,810,322,981,639,582,853,859,554,751,019,787,376,808,223,110,632,319,938,
434,566,968,856,871,342,479,067,218,560,885,153,243,530,907,232,967,614,278,
564,181,805,751,815,527,139,341,477,214,022,803,155,476,679,744,111,174,992,
313,392,992,999,323,129,227,874,341,088,671,697,855,952,824,513,504,348,860,
507,533,907,351,202,139,425,442,448,549,243,909,218,169,912,439,625,341,283,
823,558,001,358,832,742,346,130,540,388,775,253,789,146,859,109,240,120,905,
814,238,806,267,526,348,622,723,554,622,816,394,602,245,962,291,028,349,612,
205,607,488,275,733,137,997,921,721,320,304,586,008,727,722,193,720,384,864,
442,019,148,829,740,119,142,906,340,401,448,700,625,186,815,674,751,896,625,
227,832,146,887,844,361,238,490,998,459,659,653,689,670,116,257,119,671,522,
660,311,577,567,372,630,608,165,036,440,581,924,450,352,315,597,004,711,015,
907,401,117,872,983,569,484,693,430,804,657,292,789,933,577,183,086,263,673,
830,609,647,370,741,714,185,144,082,033,656,585,834,470,605,218,544,949,834,
406,601,698,552,984,289,929,365,189,285,080,151,334,530,066,366,165,978,237,
340,111,912,021,290,635,551,294,190,728,561,483,114,961,428,154,024,539,685,
936,395,011,337,674,318,847,582,773,448,159,467,568,562,519,667,348,200,394,
058,376,884,020,011,259,562,006,966,926,601,348,301,775,723,593,753,995,547,
572,755,731,105,472,614,899,286,622,328,173,782,683,215,219,251,032,899,019,
052,893,197,128,950,570,735,271,947,258,218,850,512,962,065,942,599,463,051,
097,036,437,033,034,499,615,336,296,850,747,955,745,709,872,969,514,960,719,
528,156,289,677,373,895,862,493,060,383,110,902,929,771,034,927,291,572,162,
776,904,361,547,198,419,968,341,244,629,059,726,645,047,398,566,439,527,317,
713,157,057,104,354,290,980,183,088,026,792,650,873,050,510,433,607,555,917,
932,352,035,752,534,685,156,630,609,302,360,883,718,756,367,320,951,223,772,
600,872,475,543,078,892,905,793,863,877,563,265,082,429,049,241,279,167,160,
427,885,372,412,047,175,058,546,092,742,888,947,012,022,217,680,874,750,215,
361,745,167,308,622,315,346,077,586,348,893,205,914,529,955,487,276,913,407,
130,914,526,265,281,396,423,044,763,518,536,682,144,478,753,133,554,854,316,
660,616,640,917,196,652,252,348,213,057,032,540,052,508,124,565,321,156,081,
863,374,644,023,018,319,905,180,067,171,201,426,923,011,405,359,057,011,429,
566,566,558,650,330,023,186,854,945,185,802,643,888,723,270,112,665,448,025,
845,467,331,230,903,543,320,511,401,339,345,657,284,172,132,703,092,168,314,
895,901,953,203,311,164,408,082,964,689,720,646,995,457,597,107,705,451,906,
126,969,050,705,383,788,372,229,954,872,078,277,166,497,840,832,579,767,145,
590,713,759,089,605,110,681,696,646,299,709,865,612,033,039,336,588,771,398,
878,652,519,170,785,590,214,297,048,240,289,299,831,638,450,282,117,330,251,
483,165,478,010,467,014,504,288,039,877,044,366,422,473,020,631,471,323,093,
360,688,104,834,867,197,800,375,853,661,241,247,483,046,416,151,093,836,147,
521,527,783,352,030,228,544,456,846,063,945,646,452,938,175,910,150,350,140,
880,604,178,855,177,629,985,860,491,904,974,889,475,981,651,733,069,874,840,
661,018,573,902,953,472,070,612,163,609,505,004,276,107,862,197,763,439,232,
575,527,653,493,224,118,237,685,969,386,066,625,345,633,136,761,253,846,716,
705,086,853,777,573,783,169,554,624,929,334,861,082,765,030,630,578,954,929,
696,855,932,129,439,326,899,695,803,882,460,735,427,753,448,999,486,919,394,
379,840,464,728,906,864,541,074,391,746,931,034,081,007,697,886,881,841,012,
735,428,914,561,953,894,665,598,671,866,839,129,558,450,793,475,259,559,755,
502,276,227,254,260,338,457,371,379,696,748,416,364,876,658,536,359,665,591,
500,908,252,455,237,146,400,311,486,347,018,157,376,919,340,361,047,437,314,
521,730,479,415,977,768,147,962,458,547,841,528,401,623,600,258,171,472,328,
592,016,962,553,890,795,881,327,342,295,032,503,584,220,541,736,560,679,004,
921,825,044,788,094,638,014,913,427,728,853,904,880,640,174,566,791,265,131,
832,007,615,496,724,442,466,585,799,952,309,368,700,253,464,861,745,642,678,
706,584,751,906,245,329,258,664,410,197,742,538,719,888,492,635,210,523,221,
501,538,078,876,906,947,024,400,449,272,147,047,868,053,434,883,013,208,091,
798,311,510,452,697,644,889,128,157,818,707,735,111,543,486,582,030,710,953,
882,150,429,688,991,668,679,686,782,109,190,814,875,554,850,363,928,591,640,
254,683,760,922,339,848,311,050,517,591,212,510,251,584,946,746,423,914,030,
520,934,199,464,432,326,741,624,265,980,590,694,009,747,894,073,748,165,602,
819,493,045,519,074,153,114,123,944,197,661,434,808,095,998,722,591,658,822,
974,841,117,166,703,927,691,784,797,464,565,338,673,484,775,632,903,526,979,
130,123,824,374,278,840,775,420,650,568,534,680,236,309,420,203,835,282,932,
678,453,415,160,142,495,845,470,947,544,363,349,270,678,825,764,077,628,206,
785,645,792,592,640,521,543,996,518,304,819,610,210,571,189,388,373,618,007,
905,733,217,430,629,599,117,445,127,385,041,009,292,970,564,525,105,513,269,
399,048,702,348,372,851,923,689,928,922,213,016,220,991,482,004,124,684,169,
007,617,495,428,040,947,671,584,780,712,199,283,560,700,030,617,992,109,096,
550,249,120,865,711,205,907,398,971,078,738,829,894,224,912,839,047,131,448,
045,524,095,344,074,418,625,162,834,370,482,062,916,493,168,844,382,267,968,
226,397,262,266,386,808,054,886,695,358,826,729,905,927,018,677,730,851,217,
018,568,726,627,287,251,756,443,197,568,923,944,267,465,184,454,068,626,136,
847,420,602,760,668,849,909,193,353,665,965,571,740,939,433,635,697,081,486,
924,355,199,006,225,622,165,087,252,146,249,074,334,655,227,015,811,811,986,
583,984,273,994,583,378,834,281,030,951,614,638,732,940,276,454,890,967,804,
821,657,087,133,695,285,707,736,608,673,198,228,034,839,509,130,069,974,358,
495,085,904,408,050,711,269,847,615,728,287,410,371,192,166,207,074,645,227,
902,008,630,788,954,516,457,180,096,254,301,876,735,501,282,289,436,950,843,
309,436,178,403,481,835,348,514,904,719,363,609,572,741,771,845,740,878,041,
468,671,645,711,079,174,803,331,241,192,011,670,271,636,161,423,661,442,877,
867,483,340,634,018,152,914,509,905,409,707,992,803,373,244,062,142,118,754,
034,240,064,682,273,597,577,560,461,220,043,549,707,379,145,119,440,015,153,
092,891,287,475,706,710,247,908,792,631,112,272,598,510,948,821,571,437,653,
274,508,179,594,580,720,976,559,245,616,973,773,430,924,421,325,866,609,877,
800,046,791,148,050,414,644,409,900,848,833,971,419,319,870,343,107,545,975,
155,711,906,669,421,713,843,815,705,572,682,576,734,454,295,498,674,691,827,
641,954,634,996,098,418,523,129,652,121,464,231,461,784,659,144,992,922,442,
137,029,307,044,151,070,114,024,967,209,497,600,115,239,962,976,722,820,940,
966,205,089,197,294,625,821,938,080,861,031,279,093,881,844,926,142,633,037,
765,338,866,798,139,668,402,297,770,341,429,221,895,704,343,733,421,990,139,
935,138,045,650,851,810,650,370,460,226,331,852,992,465,854,469,754,672,551,
464,792,578,853,356,604,735,803,124,376,184,922,980,245,162,954,056,225,387,
874,730,035,921,170,656,880,878,354,913,895,306,056,261,062,794,614,111,800,
329,737,749,083,823,136,206,405,472,196,242,046,278,552,598,177,068,989,387,
467,465,315,858,735,446,256,104,962,538,092,691,665,282,719,342,633,226,041,
224,304,962,016,760,577,036,678,109,723,769,787,508,322,937,544,826,279,727,
337,966,450,520,347,522,804,980,858,049,990,966,597,711,166,821,109,980,570,
682,945,116,782,906,006,381,656,146,463,728,308,380,951,951,753,080,701,734,
348,904,819,847,971,070,396,088,163,872,486,796,013,884,467,246,925,282,395,
508,098,858,477,798,955,729,291,918,590,618,782,602,594,087,004,095,817,272,
523,784,667,724,143,273,260,374,656,549,603,726,833,123,782,160,394,965,774,
943,580,541,619,475,298,922,044,308,978,894,824,724,060,513,475,558,384,771,
590,011,032,395,046,374,153,738,919,979,682,792,601,269,393,013,982,991,097,
783,075,905,117,847,001,306,219,544,266,053,451,012,857,481,121,920,178,119,
305,817,654,312,787,907,818,923,012,466,446,090,002,881,332,916,305,667,629,
783,151,863,268,407,917,604,161,322,418,250,067,556,203,060,546,699,062,212,
258,340,568,180,054,320,366,185,843,578,900,647,123,152,144,066,246,180,791,
622,978,858,991,653,483,653,930,486,965,833,538,952,747,631,614,546,162,059,
493,177,277,312,798,817,735,170,454,096,039,552,142,993,939,573,033,787,097,
465,264,055,495,783,611,727,302,043,790,358,903,347,223,581,632,679,217,140,
806,539,747,517,222,077,972,389,385,328,072,179,614,129,912,877,347,046,484,
703,190,110,513,332,936,304,956,235,086,856,430,332,647,632,782,552,937,562,
526,745,398,113,191,201,116,961,352,369,719,988,056,563,278,764,030,590,980,
792,203,240,868,014,778,718,445,844,476,012,068,666,475,781,516,446,425,652,
686,496,533,311,872,033,484,742,642,170,703,875,003,223,454,803,056,144,584,
108,388,707,779,691,816,587,861,451,440,541,365,159,082,286,285,863,379,184,
777,087,581,237,040,502,749,348,260,772,478,161,951,329,197,718,259,609,285,
360,028,776,672,417,147,231,142,835,766,771,728,407,302,887,130,900,407,620,
344,571,414,844,319,752,652,184,890,885,529,520,858,386,080,059,833,990,774,
796,498,589,394,819,709,436,052,031,972,780,083,186,773,309,282,546,832,995,
240,438,722,280,833,345,512,273,330,274,573,689,402,616,093,847,878,870,648,
093,672,208,122,438,989,752,633,076,145,449,452,315,823,357,151,613,830,623,
757,298,252,358,107,052,320,938,760,374,714,546,833,620,529,719,529,761,127,
643,793,456,759,789,198,093,286,334,417,773,568,732,828,560,554,202,504,763,
827,600,303,390,050,369,894,509,104,191,672,205,022,638,083,526,045,710,823,
921,780,031,091,611,531,982,417,577,470,156,264,432,302,854,947,602,363,966,
605,640,550,812,722,696,558,244,431,503,141,767,718,076,805,682,884,770,065,
366,378,767,402,815,294,836,161,333,632,122,458,288,736,825,782,913,238,983,
751,513,607,691,794,017,552,841,666,809,204,883,565,989,989,540,302,212,987,
930,559,553,186,365,396,236,568,482,418,710,024,078,613,213,599,496,356,607,
627,210,783,452,404,926,668,303,092,886,793,422,526,774,721,478,963,265,752,
594,111,514,745,511,270,583,377,016,051,567,335,171,607,280,819,851,965,724,
935,604,835,915,046,901,829,088,793,697,603,103,287,630,398,147,918,229,573,
535,078,218,282,910,207,354,074,785,048,053,413,383,016,015,653,839,713,206,
362,030,838,112,234,471,388,825,252,856,787,621,165,474,478,372,667,563,922,
832,559,500,596,780,197,243,398,494,008,057,836,879,654,395,525,666,817,213,
888,439,263,586,518,820,497,098,392,807,052,465,416,475,629,519,521,146,694,
656,933,570,011,633,998,937,776,697,293,028,968,598,928,252,252,068,856,670,
152,225,320,370,174,843,246,258,210,162,675,577,279,050,976,807,616,176,438,
999,229,082,347,906,451,925,487,951,975,530,691,453,347,225,306,827,423,591,
554,796,718,059,432,405,269,296,629,754,716,126,493,267,784,218,409,706,075,
382,054,843,720,958,171,473,960,219,146,306,631,186,490,571,481,349,946,054,
941,962,752,831,777,216,459,894,962,358,602,356,350,916,521,373,600,756,632,
795,331,558,726,262,058,206,221,856,266,803,802,123,465,636,927,811,901,564,
557,112,077,506,269,668,138,002,645,940,621,458,872,390,204,300,062,728,566,
695,389,376,421,489,182,183,897,273,756,497,455,397,134,513,452,968,662,887,
581,286,329,963,337,448,035,357,170,122,261,979,792,089,394,489,932,524,691,
160,269,865,632,073,007,683,303,279,667,392,612,316,577,115,467,909,366,651,
464,900,054,114,167,353,591,653,433,900,185,905,307,149,462,692,067,225,980,
043,696,531,612,879,183,291,803,847,138,581,154,221,544,578,440,537,240,935,
627,957,949,977,451,483,301,552,982,169,896,182,112,574,165,962,236,292,433,
365,345,732,978,566,712,185,211,421,622,091,088,561,742,921,844,008,083,911,
457,345,301,961,665,270,469,274,653,649,225,826,310,200,433,116,097,531,278,
289,872,072,639,523,103,221,896,258,087,944,389,873,493,013,214,269,673,501,
711,652,323,939,476,429,739,529,792,864,832,245,276,762,863,869,003,694,411,
646,662,699,408,131,665,141,935,001,392,367,979,229,854,005,700,869,645,315,
978,062,152,622,654,814,282,900,492,198,722,680,760,674,258,566,355,466,166,
678,285,645,715,201,100,909,404,952,769,922,732,594,463,312,361,730,953,737,
938,038,172,118,886,531,062,684,599,039,498,294,896,258,695,818,483,362,858,
330,445,862,206,203,328,546,884,183,186,570,563,138,087,229,203,687,603,989,
988,457,567,881,076,901,257,819,320,100,126,083,358,029,780,155,577,407,341,
810,610,435,171,710,559,715,249,301,663,140,875,119,061,144,063,421,447,299,
583,232,178,468,371,227,826,221,886,718,870,773,963,737,353,231,223,016,114,
464,324,989,265,159,867,267,085,924,885,518,660,569,387,610,330,535,727,235,
860,820,902,998,488,198,119,046,428,478,226,338,534,022,091,356,348,678,690,
966,050,229,780,878,450,477,537,628,435,501,323,192,014,554,003,203,914,202,
443,257,951,483,489,874,981,038,207,053,742,795,434,472,188,667,044,777,487,
639,382,402,476,933,019,156,253,164,730,266,774,880,109,252,235,385,091,600,
007,329,396,163,491,811,533,684,841,816,380,406,725,968,929,929,174,890,699,
154,479,556,011,541,817,915,044,576,763,379,716,494,778,608,264,658,280,459,
059,145,797,775,247,219,293,448,203,423,138,893,657,470,227,775,563,722,735,
292,038,064,093,802,595,916,849,352,322,938,435,503,280,134,464,466,571,267,
005,200,153,566,428,477,218,819,155,074,291,698,372,785,671,826,636,451,485,
099,861,552,776,825,048,758,070,765,011,522,489,571,208,258,960,957,034,732,
383,317,842,516,788,501,647,058,422,986,808,741,839,293,834,545,400,495,380,
351,412,825,950,502,926,659,984,259,604,592,789,691,893,593,614,296,353,122,
869,684,083,299,578,776,732,028,419,967,717,637,494,542,390,572,436,950,925,
113,273,941,739,374,414,421,761,574,653,267,958,114,080,471,755,282,687,084,
550,008,186,632,152,673,337,144,746,283,815,056,891,035,332,043,716,591,361,
934,249,005,258,877,806,138,632,414,837,766,162,393,938,957,759,427,201,509,
752,094,048,648,746,188,442,804,518,097,850,070,062,849,263,257,565,870,377,
362,741,408,652,214,918,238,024,235,604,721,096,026,545,293,642,978,683,321,
690,293,605,439,847,187,869,461,415,971,367,685,880,418,709,960,351,984,647,
705,636,583,432,776,647,791,578,296,834,639,635,818,082,091,993,624,672,647,
077,293,581,902,713,215,227,770,592,898,911,620,852,483,271,391,717,660,916,
833,840,267,725,218,573,147,218,873,699,128,737,100,554,944,380,346,344,668,
838,667,347,599,337,069,750,278,675,814,510,189,788,388,086,989,470,465,049,
678,087,718,487,216,793,237,269,463,449,159,855,847,135,084,491,776,322,051,
691,137,626,161,940,838,222,787,021,006,900,106,291,550,163,706,111,129,701,
556,288,662,449,115,762,107,889,498,920,151,155,299,969,065,030,822,599,546,
117,442,930,867,868,574,234,169,280,202,105,700,682,172,970,692,088,138,902,
882,239,203,999,039,556,538,176,836,651,922,150,230,096,408,763,719,664,568,
413,923,491,751,152,190,313,781,964,259,856,399,162,411,075,395,947,532,335,
240,265,079,238,119,823,143,726,331,419,502,626,683,601,677,878,704,020,860,
511,847,128,080,134,192,376,834,894,757,875,779,917,264,744,657,853,555,934,
645,405,385,945,956,672,299,970,974,965,189,173,071,934,427,198,388,703,337,
443,542,309,648,470,511,591,796,885,247,264,295,679,057,689,793,826,075,832,
136,880,477,158,473,222,398,241,688,269,263,837,063,362,639,394,672,827,858,
913,895,459,468,426,305,926,134,167,563,694,603,458,830,227,747,996,965,492,
051,484,684,367,333,982,880,460,713,363,691,387,837,536,080,063,197,440,711,
903,557,467,809,458,220,699,472,139,653,772,532,140,620,260,185,121,147,396,
165,844,305,563,989,389,001,372,224,937,068,314,873,492,306,839,264,410,681,
692,561,204,871,594,874,150,116,411,002,497,192,885,073,337,304,477,790,012,
363,973,428,796,019,009,370,978,362,736,476,577,075,512,351,846,081,818,460,
918,620,528,469,681,612,986,452,366,075,835,049,892,862,375,994,394,361,583,
976,985,959,466,519,525,342,133,848,535,915,881,288,492,015,330,251,030,196,
905,975,493,366,479,965,877,390,414,753,743,997,437,182,777,599,549,959,271,
117,439,064,073,112,516,240,341,507,124,186,415,942,884,756,369,432,050,611,
329,553,147,887,378,154,461,097,297,902,517,269,357,945,275,361,528,308,568,
022,454,281,221,207,919,053,829,683,793,740,578,187,103,931,987,788,763,788,
104,823,178,677,569,451,587,957,900,774,595,151,548,006,295,780,788,362,108,
959,779,833,788,576,790,138,120,198,091,925,053,363,286,694,476,324,194,787,
569,582,223,098,768,545,600,012,766,512,538,531,530,809,532,786,169,225,572,
705,723,285,721,500,005,788,616,615,204,803,795,679,521,859,333,457,275,468,
231,699,122,186,182,138,888,514,906,167,654,722,943,746,911,486,504,029,228,
528,214,739,739,932,771,629,736,620,985,800,988,679,519,641,752,457,812,549,
185,023,239,656,265,718,091,871,408,129,500,229,283,792,679,189,363,484,355,
847,810,709,541,780,735,658,005,915,450,704,320,674,869,610,609,552,062,294,
512,785,343,945,240,692,007,961,517,981,089,323,202,092,028,554,343,040,929,
148,088,762,654,662,184,199,505,070,269,045,062,680,686,425,988,093,644,143,
837,225,276,096,805,598,459,625,760,102,394,154,491,944,681,578,340,364,851,
385,269,452,253,780,038,740,413,535,374,234,016,504,586,244,082,739,991,303,
882,308,055,546,955,580,230,321,659,813,632,145,556,591,736,692,844,146,701,
938,582,073,277,910,385,829,916,540,738,198,336,065,090,527,994,991,152,943,
151,967,014,826,242,177,286,435,685,135,374,050,018,854,604,934,927,044,474,
710,723,660,178,275,270,386,080,708,786,534,610,934,281,881,410,210,486,414,
723,098,453,244,295,236,571,919,804,596,674,351,494,704,278,421,985,147,756,
699,651,823,176,016,778,681,737,189,924,271,738,619,150,122,861,064,329,100,
291,526,172,409,244,380,563,160,640,237,712,612,414,741,117,920,065,453,964,
591,949,108,131,142,229,181,795,645,026,078,963,501,190,422,374,527,381,296,
770,152,718,552,962,158,278,034,884,866,282,476,522,619,437,140,677,902,105,
420,914,533,888,102,571,866,650,742,628,065,652,918,669,809,022,587,308,381,
808,313,309,433,291,276,059,144,362,010,966,113,128,014,345,798,166,213,996,
507,441,863,040,954,895,792,064,024,137,922,865,807,650,411,062,476,018,484,
080,247,078,182,601,919,953,418,300,813,502,311,489,114,200,447,511,690,988,
783,552,512,250,853,508,156,947,811,749,818,003,126,438,283,757,138,648,484,
163,730,773,470,088,547,740,252,577,180,466,984,312,134,141,298,499,062,351,
501,461,668,984,789,795,604,106,900,777,529,796,377,165,785,149,642,275,174,
829,907,500,635,517,854,706,979,344,795,236,993,798,567,938,027,087,400,457,
537,945,335,837,549,827,294,928,292,258,789,652,702,740,990,129,424,958,935,
653,821,726,616,954,806,930,262,608,529,786,008,763,781,348,614,725,925,646,
944,486,063,681,902,855,738,020,454,069,846,911,104,616,804,363,586,175,553,
345,105,376,611,440,241,993,464,657,511,810,599,085,392,358,465,969,106,839,
683,146,767,413,444,830,098,590,341,829,951,455,384,781,368,600,553,827,249,
878,472,430,557,449,613,462,456,652,457,261,488,035,239,968,928,464,038,433,
995,637,208,547,345,196,085,369,325,304,326,733,111,442,098,869,688,953,689,
932,948,052,333,176,707,114,658,243,782,784,349,427,195,018,127,431,440,523,
532,475,333,346,779,252,344,159,641,326,655,241,990,735,454,187,465,787,425,
402,224,040,239,252,367,040,501,264,602,034,473,145,895,873,475,038,776,214,
558,405,490,993,904,344,268,905,106,936,543,213,197,308,317,004,169,228,064,
290,967,280,928,663,680,522,617,271,581,490,691,955,604,873,217,802,112,514,
897,514,634,761,413,488,459,543,075,773,820,849,710,741,859,779,773,011,201,
666,875,368,971,449,201,864,306,594,572,077,484,437,787,171,295,667,048,190,
036,350,586,622,905,260,183,784,326,744,988,040,165,241,759,506,483,365,767,
887,579,017,658,709,320,001,908,795,991,231,867,580,545,108,129,165,640,361,
194,335,086,001,812,965,374,942,268,253,102,089,100,729,149,409,475,590,586,
791,982,993,249,274,727,707,327,124,920,159,848,087,607,317,371,267,957,544,
519,223,286,700,590,534,622,547,188,073,963,442,035,695,613,337,054,317,168,
856,855,455,275,053,119,101,860,033,632,534,735,769,454,093,052,679,729,368,
619,373,882,388,225,218,288,649,855,211,933,376,156,942,486,871,181,124,205,
253,532,051,513,998,627,198,874,204,285,801,939,747,218,901,515,026,138,056,
089,310,288,929,932,670,487,686,904,622,443,117,673,142,447,070,175,353,671,
437,703,188,540,671,993,933,157,444,026,668,033,061,168,408,171,327,710,385,
078,794,365,602,045,500,518,111,682,441,519,600,119,506,735,608,778,783,124,
449,458,717,511,517,793,196,532,984,200,834,237,000,346,680,926,416,819,143,
160,392,880,385,383,682,488,741,787,359,090,212,735,781,657,867,053,329,658,
385,392,130,440,367,110,204,235,364,573,158,926,851,972,475,011,497,585,901,
414,140,234,998,812,322,803,444,952,302,532,797,485,249,081,111,908,490,155,
651,949,900,511,596,548,923,831,597,294,175,968,663,889,011,594,732,954,790,
332,133,643,820,229,599,741,648,080,292,331,817,089,796,345,999,920,572,829,
950,522,542,288,305,445,896,679,777,083,032,486,234,816,202,893,015,830,073,
758,213,842,615,541,439,179,420,545,194,323,709,904,820,728,961,977,332,506,
069,524,762,958,989,926,833,354,704,635,134,649,169,366,049,063,563,181,292,
959,724,617,856,237,994,340,548,927,988,567,687,113,623,940,003,298,539,960,
662,431,177,539,020,184,463,538,332,095,885,665,790,814,565,125,796,954,636,
206,294,843,446,203,575,036,850,859,769,131,247,800,462,321,533,316,964,435,
723,589,406,703,752,013,852,055,464,647,342,486,306,055,126,634,927,786,238,
993,857,444,006,963,539,804,167,602,856,319,677,819,756,228,886,216,387,846,
069,325,266,556,422,920,668,845,183,726,366,052,539,382,936,197,565,785,005,
014,886,294,073,084,293,681,607,668,144,320,052,596,071,026,547,547,818,326,
778,625,759,013,726,657,698,068,440,101,648,785,176,329,671,477,985,963,968,
712,664,182,029,959,178,539,313,602,250,519,650,226,600,791,655,344,636,539,
629,639,176,361,439,907,765,207,024,993,633,406,740,498,579,770,380,537,708,
226,104,492,615,386,413,536,314,110,719,929,732,390,414,961,506,000,856,860,
024,233,241,904,183,965,855,108,549,946,727,336,317,078,402,714,653,591,845,
115,839,220,589,134,650,354,772,529,629,009,559,061,755,538,510,255,068,807,
233,882,411,346,606,659,513,461,380,344,461,176,329,744,599,778,612,997,951,
428,953,058,831,323,264,772,621,977,861,415,302,922,786,957,407,115,170,627,
100,947,791,612,650,915,450,431,099,331,238,656,688,703,188,682,540,748,122,
913,042,936,353,788,514,838,475,777,838,682,620,317,274,706,219,377,509,246,
529,640,536,598,103,875,145,486,217,759,044,701,711,791,875,973,579,555,089,
912,081,658,577,060,080,170,091,610,968,836,156,662,000,050,968,743,676,134,
477,434,236,910,591,408,172,152,499,987,156,727,576,610,979,705,185,876,686,
433,090,454,507,676,702,616,487,000,479,992,200,476,420,993,389,284,067,426,
300,026,079,739,390,151,041,827,028,361,870,244,347,852,871,966,741,449,820,
334,306,144,133,196,290,503,666,922,069,606,279,269,958,197,576,444,917,165,
694,130,293,669,501,652,299,868,143,233,137,146,946,389,497,508,779,767,575,
891,349,314,028,220,706,866,047,731,702,512,001,988,263,831,797,168,827,284,
423,383,493,959,459,348,200,913,397,136,656,029,532,876,728,283,160,375,365,
747,116,961,321,542,788,832,938,751,740,290,185,690,580,193,338,502,849,772,
065,531,823,693,971,063,681,587,052,715,955,448,813,067,293,333,008,280,657,
069,619,958,091,849,887,560,942,912,874,391,589,214,404,465,784,016,013,734,
514,092,609,727,799,700,815,731,554,913,070,318,186,815,323,873,621,743,018,
609,085,685,940,697,511,107,548,740,297,952,521,131,875,111,683,114,457,647,
093,364,778,832,405,449,645,482,371,036,107,025,357,102,859,873,908,684,635,
293,325,608,371,732,292,998,380,613,847,557,404,537,050,544,676,732,421,235,
295,921,979,211,349,318,979,884,204,333,338,958,371,770,017,738,570,122,572,
972,565,912,108,353,221,917,947,649,188,762,560,204,886,728,470,174,352,911,
025,722,760,077,895,770,616,326,985,019,971,019,110,214,571,773,693,802,854,
792,129,390,780,380,553,016,606,514,725,929,561,802,814,500,148,143,808,591,
464,929,931,331,607,112,272,419,663,263,040,195,534,136,948,354,591,983,539,
446,586,139,866,209,232,571,198,833,164,342,573,648,628,073,203,047,086,751,
990,879,473,442,717,941,819,937,287,355,730,090,893,949,466,749,346,366,679,
672,351,720,981,576,712,671,518,889,135,006,776,092,678,636,737,961,436,196,
592,734,637,636,563,493,405,788,642,796,084,587,486,464,241,719,476,429,791,
069,103,071,483,477,634,781,252,223,376,388,254,871,070,591,570,120,724,387,
526,062,297,305,678,945,518,524,160,952,766,474,241,041,090,252,688,852,310,
165,673,805,057,320,461,582,057,488,781,210,251,031,912,341,163,416,011,362,
957,332,528,511,029,921,603,370,910,670,471,233,515,180,237,182,157,920,240,
981,175,065,446,257,278,409,724,695,764,282,331,118,073,524,719,615,876,183,
736,058,509,358,544,562,575,460,556,378,373,068,769,682,080,951,689,718,738,
968,026,105,687,223,674,402,866,011,920,900,154,397,860,656,496,416,489,899,
538,098,875,358,981,374,845,430,913,381,424,436,533,848,268,418,128,498,588,
424,877,426,423,880,790,896,656,937,661,965,943,168,841,952,741,977,980,473,
208,812,255,450,993,060,183,248,533,986,520,867,991,079,581,925,553,191,977,
669,502,334,366,262,785,766,422,983,429,190,720,978,909,711,928,951,537,801,
586,025,713,453,079,638,964,762,413,575,064,919,158,590,796,238,016,436,875,
189,757,197,437,174,022,391,770,365,850,634,882,344,347,203,631,714,070,954,
992,157,741,313,750,890,472,314,735,867,848,972,176,040,243,399,530,672,424,
148,623,575,226,730,098,066,185,192,551,528,745,628,043,166,080,517,724,133,
486,054,485,616,281,565,958,756,383,045,643,665,786,112,800,263,569,579,558,
580,530,069,025,395,334,228,031,086,853,291,783,310,470,167,640,159,502,992,
573,286,627,046,246,296,239,022,157,635,940,717,920,030,418,288,038,444,422,
092,815,214,756,107,343,000,411,577,272,087,787,349,467,188,991,439,782,484,
942,740,935,552,244,987,488,401,010,397,248,950,037,356,202,410,506,537,609,
672,201,271,802,650,120,044,066,066,994,649,612,622,135,990,283,350,252,265,
735,398,438,204,340,165,308,883,975,647,010,540,941,793,952,761,479,390,237,
295,541,974,047,914,924,680,063,676,784,338,883,928,761,085,087,914,329,186,
028,055,526,301,143,372,063,554,675,784,523,308,822,212,412,940,292,915,464,
176,733,074,295,997,468,987,996,631,174,002,897,934,698,787,824,719,680,024,
722,219,048,109,342,280,120,542,215,631,571,208,760,150,553,413,137,364,574,
146,725,540,459,315,170,804,044,837,449,142,132,417,398,247,265,875,606,628,
588,904,635,465,539,052,839,296,885,133,419,323,479,241,581,848,364,236,995,
569,339,039,900,168,758,495,699,421,005,813,099,131,676,459,190,871,085,411,
927,323,451,911,333,365,079,011,220,168,725,694,644,861,470,472,842,032,261,
125,900,956,970,583,422,801,076,065,334,258,611,257,271,241,139,518,186,587,
998,361,742,212,164,616,830,814,859,234,284,495,716,535,841,842,119,429,262,
206,424,666,102,893,005,240,497,822,141,712,175,551,497,567,549,329,287,578,
030,084,954,790,062,448,137,857,538,415,733,377,665,388,333,210,540,249,504,
004,067,369,416,854,134,889,432,659,984,053,239,142,367,374,769,319,268,304,
661,921,565,854,360,274,288,319,868,749,475,841,872,467,754,686,120,268,256,
837,004,051,588,726,158,169,258,138,821,072,937,816,902,359,253,438,420,194,
590,970,106,926,935,271,171,588,759,790,006,464,887,931,948,749,696,372,185,
959,876,144,696,806,878,463,771,510,433,279,453,013,960,491,592,764,663,658,
762,299,717,769,866,056,706,058,664,029,038,226,834,837,463,026,352,927,308,
933,096,583,395,872,612,196,601,324,672,079,050,996,159,275,563,304,053,871,
051,940,603,911,038,833,347,205,207,541,799,919,413,623,536,024,949,104,844,
089,344,897,059,149,906,350,709,004,484,036,399,265,869,148,129,882,719,846,
297,174,445,432,169,385,875,235,667,530,471,402,544,713,595,441,863,307,173,
463,980,265,817,410,477,923,153,213,319,554,580,846,363,895,021,952,890,677,
970,169,481,421,958,596,196,208,447,783,802,426,770,879,620,732,235,512,576,
113,261,009,630,189,790,099,091,794,582,994,290,282,431,242,941,650,835,580,
786,377,137,208,583,424,001,050,176,189,313,065,992,834,611,515,135,151,659,
488,281,338,689,484,893,564,464,892,679,506,779,240,553,352,832,904,427,330,
539,323,715,274,240,088,648,417,644,084,628,629,336,104,563,700,049,243,987,
537,205,988,944,698,036,487,006,251,121,261,977,715,805,635,094,500,685,988,
805,483,229,753,793,806,049,784,642,865,264,929,335,905,457,229,796,668,176,
272,178,588,767,290,579,530,177,601,463,777,983,311,671,177,418,209,333,688,
882,076,273,709,913,470,473,280,892,205,313,519,456,927,576,066,387,736,380,
891,708,301,806,508,886,684,779,512,118,940,852,729,095,942,952,962,790,049,
363,407,229,241,000,068,383,965,881,430,667,560,453,211,100,956,176,166,515,
764,276,437,443,336,305,167,264,410,207,595,102,536,652,871,717,078,173,735,
166,930,834,611,119,086,351,060,491,957,995,629,824,548,599,050,381,719,839,
829,888,014,437,208,937,235,512,340,367,373,188,454,128,409,535,853,683,822,
637,575,972,941,368,960,397,092,879,133,301,576,979,982,767,867,884,461,331,
441,453,732,257,817,319,862,917,527,521,100,790,238,758,239,557,589,813,267,
487,764,865,236,056,797,569,266,304,081,615,225,952,135,437,610,615,301,661,
593,303,888,658,414,481,885,964,931,226,847,758,248,172,789,883,314,930,819,
587,030,898,535,764,224,905,698,599,619,502,094,017,768,895,833,466,842,382,
761,966,772,329,353,988,998,932,855,757,959,489,005,088,295,331,854,270,425,
369,649,434,593,075,182,749,887,495,555,348,814,554,531,355,867,834,112,061,
487,217,302,664,577,813,638,263,501,890,631,716,399,649,142,303,407,125,196,
969,332,157,716,089,224,281,622,313,429,544,562,468,650,430,225,069,500,089,
520,096,860,767,018,056,941,185,227,191,212,534,103,646,609,532,639,095,262,
103,820,480,098,460,045,693,069,290,748,070,527,023,890,110,427,518,242,044,
982,786,405,873,136,603,588,659,885,733,289,111,240,808,759,570,186,940,967,
989,157,058,127,392,283,193,749,975,382,677,042,504,422,161,468,022,000,456,
104,152,948,411,853,688,925,626,223,018,148,440,405,314,046,085,913,213,542,
820,445,333,250,752,446,186,115,207,414,572,176,777,092,979,643,227,990,530,
918,917,181,418,201,222,460,771,147,883,030,536,663,950,768,806,641,232,712,
132,394,979,184,851,850,072,739,899,628,472,229,470,815,632,648,877,609,124,
536,976,800,003,132,964,961,272,216,560,188,367,478,169,661,284,819,328,854,
044,612,946,888,892,776,209,808,631,739,432,087,105,886,421,150,834,905,708,
259,915,409,338,496,023,415,042,316,033,589,226,995,948,983,939,477,801,892,
796,414,089,202,200,157,955,052,341,149,583,113,704,977,601,538,715,536,641,
900,110,606,882,390,126,590,146,909,499,721,822,962,877,571,935,385,203,338,
500,684,906,463,668,743,748,667,565,191,913,743,431,553,748,093,572,404,614,
357,884,998,769,280,788,731,783,959,390,518,432,843,249,662,915,338,719,575,
588,246,895,174,593,972,520,793,290,678,841,079,756,743,873,935,939,323,969,
771,108,146,432,168,244,247,057,182,799,408,430,443,875,404,935,168,988,640,
774,615,884,817,850,770,232,020,986,152,895,038,520,387,587,272,154,816,388,
704,835,990,800,940,144,920,552,309,916,370,393,903,521,188,084,761,940,892,
731,441,043,397,687,383,990,629,139,414,822,359,886,977,479,550,644,670,814,
574,837,836,424,649,615,657,022,529,727,107,456,086,699,797,457,797,406,192,
208,938,796,381,250,745,671,926,817,517,911,515,585,393,103,739,987,249,067,
801,086,253,404,285,707,650,840,256,145,506,480,482,606,953,894,076,109,146,
222,073,577,541,669,478,391,394,739,374,058,863,434,984,786,313,963,762,259,
286,787,407,171,069,615,266,279,498,050,659,987,866,556,938,378,248,446,241,
035,133,547,483,337,171,268,067,218,229,277,560,974,142,004,473,897,149,902,
009,243,680,001,520,836,060,645,971,699,644,436,355,831,880,029,990,568,987,
768,665,292,701,365,631,417,712,312,253,165,230,868,537,353,289,643,548,185,
981,124,581,747,604,900,485,078,425,387,220,827,950,743,365,075,465,337,003,
219,866,884,497,417,069,291,063,875,814,760,106,899,986,237,373,470,866,881,
703,741,953,771,844,930,797,059,055,754,438,823,611,627,400,802,312,427,851,
828,671,911,945,400,153,443,876,547,684,810,375,747,012,067,682,626,619,858,
265,890,959,536,462,281,365,035,689,679,157,956,700,786,681,327,349,922,057,
710,271,295,661,324,948,637,917,613,895,631,808,514,118,256,882,260,347,165,
641,150,893,650,264,406,280,401,874,154,099,175,298,008,451,226,195,703,790,
858,436,594,061,005,570,712,046,318,335,108,604,219,000,177,176,483,200,187,
753,310,546,872,046,549,743,306,215,414,797,065,257,177,618,989,842,110,575,
882,087,567,083,354,911,993,638,199,216,128,468,244,382,369,666,693,050,474,
127,961,840,284,925,663,777,845,359,566,627,720,562,664,324,919,817,326,971,
233,549,366,075,260,105,684,625,221,111,295,933,246,459,439,308,419,253,861,
075,461,478,458,475,667,933,859,563,978,042,550,318,202,585,833,117,037,551,
937,086,973,178,571,582,587,768,540,161,543,077,421,196,969,203,388,446,242,
897,703,258,447,309,057,290,849,322,192,006,967,016,265,867,644,961,436,554,
993,676,231,574,668,172,220,568,273,140,490,640,903,768,562,419,919,088,972,
453,513,854,721,430,912,593,574,513,473,012,007,471,835,193,827,503,376,403,
638,805,247,736,224,002,450,086,353,239,465,187,828,093,240,122,163,179,908,
188,970,479,428,854,542,062,049,183,084,208,117,660,366,159,945,200,790,044,
010,803,115,797,889,297,173,050,785,037,611,439,312,201,717,165,264,424,495,
057,274,605,228,553,218,601,312,158,143,542,607,217,140,321,120,838,558,564,
411,209,212,847,820,599,905,967,144,431,431,183,576,113,602,365,528,716,880,
920,833,679,406,163,680,433,036,173,321,688,594,518,874,637,051,367,844,111,
530,781,157,732,714,980,084,671,799,215,653,310,578,381,755,565,549,524,248,
513,085,921,868,214,556,828,048,844,338,293,991,308,634,733,845,932,194,167,
173,847,774,547,732,572,227,082,836,929,775,122,198,001,183,281,289,018,348,
833,216,423,699,821,147,742,681,916,259,427,942,426,281,228,280,615,684,822,
030,389,456,083,154,666,593,299,253,123,914,253,695,376,155,711,265,096,245,
122,732,268,064,287,456,116,937,260,242,265,849,150,341,067,717,717,133,037,
228,583,989,262,935,048,226,852,990,899,862,174,930,796,285,580,567,581,721,
192,055,363,897,368,688,577,356,442,358,013,128,915,701,237,788,873,106,893,
212,343,809,900,617,485,883,470,380,073,093,744,123,431,075,205,898,094,358,
879,973,322,782,003,433,967,628,845,353,698,392,942,630,730,903,422,101,357,
523,179,588,734,318,359,444,364,893,712,939,651,719,221,008,064,934,719,999,
764,530,459,748,038,759,582,172,473,900,456,081,651,514,384,112,665,871,437,
684,912,244,187,149,650,007,485,644,287,883,332,446,574,249,428,663,278,537,
345,289,600,932,557,847,646,042,666,927,379,997,519,866,830,392,804,156,087,
146,654,732,970,185,632,107,647,908,202,616,091,184,802,747,839,600,605,989,
060,261,562,015,909,867,997,871,935,586,287,890,419,166,363,438,561,013,646,
304,669,382,132,251,239,685,777,396,104,980,353,382,374,597,978,736,938,666,
433,127,963,051,247,511,816,024,323,196,921,947,832,921,512,595,408,459,721,
732,102,961,124,244,692,374,448,569,156,110,852,974,436,325,652,417,711,258,
736,707,012,751,261,832,931,332,644,219,144,859,395,497,859,190,664,155,054,
246,255,246,752,232,051,875,681,612,319,149,586,950,115,629,027,904,517,546,
497,907,833,816,254,397,628,529,622,303,479,175,771,590,369,608,239,034,938,
732,884,044,688,864,169,258,244,424,333,736,556,756,787,853,822,153,830,796,
058,948,421,701,326,824,899,933,827,674,659,671,780,138,856,796,696,983,822,
464,828,108,597,590,144,687,616,872,250,912,288,601,159,218,612,527,049,499,
978,073,451,416,137,662,935,382,564,575,307,291,498,705,604,958,872,202,896,
806,305,064,007,911,577,967,911,235,706,631,810,440,067,020,505,302,668,543,
856,411,767,431,719,976,566,500,982,007,148,851,875,065,370,123,962,833,409,
247,926,098,547,231,346,982,431,666,707,071,756,507,620,806,777,623,837,183,
670,673,823,215,542,250,182,494,944,603,644,163,365,203,140,797,746,551,338,
936,591,425,407,849,339,197,941,664,162,862,744,592,124,966,954,442,767,064,
587,736,539,779,986,522,849,384,175,194,324,917,251,846,937,896,971,240,843,
575,521,229,651,583,896,018,155,464,555,394,086,370,210,389,599,868,441,091,
257,706,345,794,313,300,931,667,037,468,576,885,733,543,489,826,570,897,794,
922,986,149,890,137,306,338,978,030,153,533,451,148,171,679,720,841,899,709,
666,798,492,705,147,234,017,107,697,313,562,740,509,350,781,568,320,932,826,
473,747,959,635,762,080,700,457,699,462,763,370,318,516,457,102,991,376,472,
963,281,688,453,016,655,122,259,240,296,517,378,804,503,273,889,322,602,501,
913,251,297,570,546,367,477,817,232,562,468,072,972,812,177,087,851,983,361,
700,857,041,009,187,935,603,528,022,386,482,358,496,704,743,377,106,776,765,
599,657,421,986,647,498,340,967,282,640,834,150,619,084,583,947,635,987,121,
593,646,771,876,703,667,497,178,851,790,056,419,428,417,737,346,781,694,852,
131,203,284,732,843,589,150,904,409,474,792,438,952,858,970,290,493,783,991,
160,662,998,654,851,284,915,735,913,619,807,373,545,301,317,186,278,513,289,
750,509,931,085,744,600,579,760,097,484,564,711,284,853,637,499,664,934,253,
686,615,502,912,390,408,927,571,468,918,001,236,178,836,917,058,624,257,161,
297,491,611,472,886,346,066,193,730,682,411,772,902,198,703,762,406,162,504,
560,921,266,537,620,619,907,832,947,722,134,105,476,290,048,507,088,082,741,
641,031,032,116,478,423,239,884,117,660,784,463,617,769,046,986,695,546,556,
389,417,321,073,642,660,047,328,201,069,338,665,627,008,403,923,027,462,752,
355,161,812,373,115,509,739,446,115,333,378,238,032,612,002,495,388,818,991,
181,887,792,437,599,563,605,339,866,911,018,301,945,839,632,757,826,903,252,
829,238,782,987,256,217,341,550,530,193,373,455,698,531,753,464,456,593,035,
494,559,454,374,516,806,864,013,021,509,691,039,192,269,087,096,486,419,955,
942,693,314,787,479,113,555,822,996,003,493,816,213,646,594,886,723,691,992,
196,626,857,722,242,928,581,659,675,584,301,993,788,379,868,267,463,614,506,
449,621,041,087,760,450,176,071,334,499,628,712,708,378,965,337,845,363,253,
496,843,351,752,207,791,439,984,898,251,088,845,909,757,463,041,518,739,971,
990,355,712,317,132,583,335,096,255,144,817,997,012,550,999,036,034,610,344,
781,514,840,318,231,795,977,717,522,197,564,236,803,384,459,495,075,915,445,
238,349,039,998,222,313,851,350,049,950,963,516,310,669,744,399,574,249,523,
815,867,292,111,713,751,659,870,273,300,902,717,906,130,227,020,837,327,087,
550,622,043,252,535,486,925,125,653,700,148,334,062,217,995,921,102,410,963,
226,479,973,703,076,068,428,794,969,547,176,075,840,239,815,568,092,973,471,
868,147,196,705,643,267,172,053,857,298,899,980,300,091,858,130,623,075,641,
484,076,815,707,355,229,567,430,962,496,879,886,933,465,626,503,184,264,089,
869,959,171,175,708,270,437,558,270,726,882,455,106,012,831,873,323,164,472,
253,039,343,918,936,198,954,885,928,919,453,660,594,462,206,377,194,825,252,
623,881,684,887,251,561,761,945,413,485,865,528,922,847,874,185,782,367,108,
749,031,392,850,781,223,619,774,653,143,056,368,702,235,994,103,083,642,634,
773,068,843,760,889,274,922,653,042,836,095,279,811,372,442,524,479,265,575,
565,864,124,293,790,969,173,352,474,380,194,392,184,951,248,058,322,071,379,
788,418,984,979,048,281,403,643,307,140,722,082,402,044,431,427,168,765,727,
026,815,390,817,554,520,070,033,802,662,226,592,986,896,390,786,545,518,297,
605,980,818,338,844,872,233,122,224,438,047,602,202,070,928,182,752,178,692,
987,421,741,431,903,968,293,749,147,122,923,846,809,961,763,372,788,088,231,
295,379,750,313,080,366,398,891,515,317,171,993,474,521,390,435,390,223,892,
951,440,707,748,621,793,904,819,641,471,625,622,924,203,603,029,300,824,258,
486,047,722,146,529,896,667,532,796,253,247,556,675,244,069,799,473,010,934,
482,566,882,666,542,833,957,639,081,068,550,545,470,358,256,806,556,787,375,
194,315,538,429,664,787,454,475,371,188,397,887,704,007,751,976,860,280,983,
736,457,596,406,902,321,113,463,283,112,154,629,410,287,831,347,772,484,515,
884,066,134,669,494,585,481,615,666,209,446,737,919,442,281,971,120,423,012,
347,180,375,911,999,097,008,954,144,749,141,885,294,881,357,008,018,701,511,
210,738,476,920,932,011,773,424,695,517,454,973,789,942,116,591,551,750,541,
319,236,159,142,839,688,365,823,952,273,860,886,850,507,177,173,586,282,069,
648,703,475,437,307,393,328,164,978,035,159,657,605,017,988,169,751,343,097,
502,264,690,452,442,466,962,952,259,838,127,041,595,760,326,937,104,560,193,
473,768,415,601,699,668,955,704,045,714,091,530,422,624,640,739,597,227,210,
698,817,839,586,142,873,223,395,632,757,469,665,409,931,636,680,589,769,345,
582,770,682,994,516,021,847,942,434,288,779,882,642,996,240,587,313,996,490,
134,810,478,237,156,780,051,605,653,376,302,057,324,514,084,690,470,440,549,
427,738,917,651,030,085,808,610,940,709,000,930,248,985,914,694,140,026,127,
439,090,935,286,580,296,767,724,286,339,251,809,397,698,139,630,089,055,228,
965,471,791,625,854,090,693,200,433,124,248,410,619,046,853,462,606,136,816,
458,480,352,450,521,554,525,622,031,954,720,602,443,397,434,228,130,311,235,
301,134,465,248,132,741,134,346,870,873,105,813,593,288,644,624,403,180,121,
712,811,371,631,893,522,370,309,353,904,317,589,585,036,517,333,280,715,765,
376,025,357,646,161,162,051,163,461,787,639,155,777,347,206,313,532,841,049,
764,208,606,250,466,300,500,967,476,547,640,013,170,630,529,005,594,323,508,
696,257,273,181,263,198,257,357,171,232,873,011,648,474,840,647,104,045,769,
460,507,222,966,514,449,128,033,331,766,640,088,577,969,484,434,364,515,852,
163,761,616,337,620,462,338,011,869,375,241,382,423,079,354,030,820,641,337,
949,914,275,867,076,031,971,550,732,943,060,789,604,024,914,089,403,755,812,
449,749,109,170,086,236,431,556,618,753,148,232,933,141,454,618,855,665,925,
008,782,521,257,537,346,617,840,157,824,643,821,067,726,620,840,038,909,978,
414,553,315,017,934,859,433,086,196,190,135,492,767,819,501,904,668,735,895,
959,775,907,284,075,260,420,975,441,799,111,402,692,930,429,437,005,208,425,
255,803,398,366,539,298,018,046,617,628,675,847,950,265,328,652,111,880,379,
959,503,990,077,869,153,472,222,966,257,651,478,481,417,245,307,002,840,744,
613,331,811,566,016,289,622,773,241,902,031,076,277,654,525,355,348,895,349,
893,289,240,518,820,223,645,884,350,195,532,067,429,589,128,875,656,373,771,
848,812,956,172,630,125,161,392,752,516,271,193,626,899,033,254,849,532,912,
373,173,565,158,190,467,427,881,568,922,777,906,396,889,183,434,778,538,563,
986,831,916,160,506,421,032,902,537,873,547,766,506,039,109,746,072,984,641,
044,328,310,805,654,937,575,845,581,387,299,538,249,037,508,951,371,594,499,
106,519,168,997,042,770,823,438,504,399,400,651,891,275,309,563,884,550,555,
941,629,611,012,491,450,446,654,368,037,314,084,016,240,511,118,809,534,998,
220,700,329,511,373,741,106,682,873,172,865,344,447,601,199,170,186,944,194,
176,193,485,723,589,203,589,398,498,953,663,796,911,553,930,393,170,877,143,
762,444,286,117,345,041,184,312,329,225,291,551,366,981,101,244,792,924,118,
018,962,610,382,483,494,123,514,098,943,897,372,183,456,064,826,579,969,057,
617,045,533,293,671,724,220,386,227,937,379,564,728,863,414,635,682,951,158,
362,981,534,702,844,425,973,078,087,022,531,176,427,283,078,249,216,449,165,
134,990,250,788,904,703,286,715,043,284,538,687,711,439,580,189,595,020,219,
739,919,372,102,136,683,815,098,986,016,900,107,794,683,219,836,298,986,263,
291,278,636,090,272,105,589,357,725,802,922,485,860,355,070,581,483,275,511,
346,315,098,515,302,378,411,754,375,799,184,683,187,831,053,883,760,002,378,
046,165,965,284,866,056,777,501,541,822,354,281,810,089,938,377,672,986,788,
980,339,974,407,543,357,613,497,551,072,427,664,742,448,071,576,972,828,182,
703,804,287,581,048,975,691,681,715,320,864,738,038,687,648,331,461,670,604,
793,976,673,095,867,465,611,003,553,654,097,969,893,632,050,143,233,489,981,
863,953,884,782,869,882,281,078,250,013,917,544,185,518,098,358,424,015,152,
557,676,261,087,896,450,671,064,226,208,258,905,846,766,566,341,773,891,568,
224,105,778,099,916,520,597,168,007,753,472,072,668,700,909,806,575,903,092,
607,946,861,355,672,217,992,749,882,628,896,145,726,516,200,685,368,493,531,
515,603,346,710,843,813,998,708,347,419,914,121,883,988,593,624,617,153,533,
383,696,029,483,287,515,664,132,236,507,551,426,921,368,272,659,967,181,813,
836,037,994,752,079,453,088,746,656,279,683,065,755,488,858,698,215,697,713,
554,717,076,260,711,869,429,189,006,236,082,720,622,662,905,835,341,157,576,
618,939,463,400,369,079,002,417,679,563,447,215,363,099,517,525,528,590,510,
065,252,141,421,637,993,314,702,485,739,355,750,502,198,217,222,218,672,918,
183,343,014,536,926,177,739,710,727,148,996,225,860,583,418,528,628,152,895,
996,366,239,934,529,505,280,015,667,731,298,890,737,165,094,925,697,055,166,
253,303,919,208,249,141,899,450,695,900,494,075,359,632,556,606,709,574,509,
360,769,937,202,720,958,582,033,029,860,432,360,446,451,816,425,492,127,418,
803,709,572,159,223,451,000,135,337,788,196,182,875,371,894,908,436,475,311,
876,660,859,998,415,898,257,015,874,478,048,746,566,870,028,424,618,114,810,
807,379,717,590,132,888,284,367,042,835,941,781,425,080,656,346,194,682,232,
280,431,025,734,897,705,763,345,242,533,534,917,731,237,282,451,442,851,050,
847,203,792,624,426,152,398,917,949,977,546,898,974,259,041,001,117,268,577,
530,095,366,691,281,573,197,381,178,101,927,909,613,764,163,551,437,607,746,
255,587,021,851,257,561,301,197,265,365,781,995,710,699,199,840,607,276,503,
423,784,198,327,924,653,439,159,904,584,775,004,656,880,096,219,582,825,579,
768,747,373,689,634,813,139,685,596,836,516,260,179,474,020,789,370,826,657,
988,512,486,533,809,837,434,591,773,231,895,336,874,382,368,724,835,600,457,
230,673,151,940,155,347,882,377,840,745,573,636,561,210,941,619,292,545,064,
996,037,690,590,894,981,845,073,644,712,560,893,461,997,192,964,968,074,208,
824,032,689,289,908,744,717,074,260,097,953,928,354,075,749,156,646,997,703,
780,375,020,926,070,833,708,006,083,669,120,652,122,803,598,599,813,850,506,
354,909,255,590,315,234,267,533,076,777,491,943,748,964,039,334,098,030,406,
696,196,241,179,360,170,539,890,887,661,308,031,192,001,347,816,165,766,106,
168,630,530,047,349,215,944,738,621,999,100,257,086,114,654,871,465,024,855,
789,315,035,311,891,262,902,701,301,040,938,604,208,589,338,131,633,233,130,
230,524,692,048,992,410,494,115,324,110,703,057,761,225,334,695,675,908,114,
765,027,791,630,906,615,102,263,870,179,814,986,503,022,081,844,624,838,221,
162,119,591,592,857,208,408,400,840,350,441,600,852,503,528,874,419,294,335,
535,706,486,066,324,460,233,546,738,785,495,918,854,553,661,046,362,128,744,
042,561,294,866,903,012,889,276,905,416,259,281,338,906,325,815,915,769,687,
813,358,815,580,104,875,687,578,953,442,809,276,714,258,234,966,705,967,445,
169,173,910,833,298,325,246,456,943,807,246,698,797,485,845,313,951,834,818,
571,157,822,292,748,920,279,511,416,641,198,995,643,533,370,976,980,997,168,
962,025,373,451,867,809,290,907,522,314,195,259,661,540,609,486,419,538,270,
412,639,931,326,424,388,828,812,675,154,426,850,344,619,734,266,477,059,405,
800,542,237,739,935,131,373,376,598,010,758,500,337,789,781,289,407,909,595,
836,827,763,794,805,365,121,407,277,394,408,267,981,394,072,524,424,728,908,
402,096,917,776,718,649,851,987,444,632,938,545,409,907,547,463,223,105,046,
534,532,647,379,440,721,562,609,604,157,245,052,314,788,355,801,866,133,663,
744,246,734,216,437,423,690,431,952,664,483,820,338,764,597,969,693,741,167,
488,377,861,023,195,364,382,672,393,160,425,459,088,973,415,592,731,983,960,
776,063,391,762,560,754,515,591,333,842,567,914,378,554,144,589,002,625,999,
308,107,701,737,107,636,629,469,936,205,442,050,613,831,174,451,025,274,633,
101,347,404,965,295,808,400,289,870,765,993,408,232,568,020,805,068,796,257,
876,858,205,021,815,791,106,576,017,463,157,656,918,763,643,442,882,552,475,
263,845,760,525,073,832,079,742,796,805,094,809,221,736,771,074,626,225,690,
443,735,564,917,961,477,080,600,938,811,848,092,643,160,524,757,548,632,250,
162,949,425,017,370,636,091,070,695,013,791,263,344,862,061,162,314,818,870,
369,511,357,990,313,045,250,490,985,731,632,383,475,538,135,755,687,322,378,
789,102,278,694,061,255,059,094,334,934,951,082,251,803,030,975,610,882,259,
384,880,774,162,331,181,927,548,046,580,265,079,245,457,510,246,831,681,757,
807,260,485,134,757,996,926,187,953,511,751,433,433,131,599,690,772,924,044,
742,706,558,542,650,389,491,101,535,097,761,868,281,514,249,143,512,068,720,
926,163,317,634,778,652,883,468,961,680,844,911,571,326,861,916,602,812,238,
614,940,187,499,271,494,556,317,670,855,246,672,578,356,009,766,326,588,652,
169,988,497,808,372,558,627,923,366,403,941,629,997,630,704,525,537,395,312,
472,517,219,744,529,843,348,586,366,536,348,518,402,475,052,926,863,363,461,
882,280,671,574,378,532,296,356,375,269,583,651,751,607,343,004,030,320,657,
311,940,166,087,452,380,907,654,850,852,309,381,302,359,069,761,274,513,261,
948,855,304,382,326,819,113,810,511,591,732,828,924,440,499,895,464,468,307,
768,853,189,149,161,012,391,717,245,824,476,623,724,297,345,150,580,051,387,
802,198,392,980,675,789,549,739,360,695,222,371,370,066,165,351,995,359,187,
660,599,885,899,715,619,691,770,205,811,218,732,264,730,673,296,014,429,548,
700,309,122,179,801,708,187,469,739,916,792,574,649,441,932,951,446,047,853,
954,867,279,291,563,680,773,873,595,297,009,052,754,785,047,793,446,590,231,
639,007,645,312,845,235,582,061,950,909,650,996,827,484,037,488,888,310,283,
031,828,228,612,946,331,783,133,004,720,929,814,902,360,568,965,009,899,116,
632,105,550,122,793,240,376,799,755,586,099,116,535,814,973,465,106,447,684,
570,197,543,248,645,671,922,111,525,502,887,865,565,080,151,260,962,298,046,
236,621,211,650,569,132,412,136,994,768,359,367,135,665,461,413,080,027,454,
102,429,321,899,375,156,406,326,023,098,024,166,698,719,496,005,440,649,458,
239,161,196,159,835,822,930,539,833,206,692,882,535,975,762,247,344,469,630,
966,002,026,726,731,251,019,731,304,901,104,726,244,056,447,698,003,174,701,
093,096,334,781,034,230,439,695,340,255,940,889,510,249,371,112,723,061,174,
168,230,268,497,507,779,011,148,322,483,596,113,997,134,255,686,815,617,418,
576,043,548,859,057,137,388,054,092,200,969,601,426,387,054,845,350,364,971,
735,146,781,964,332,961,391,971,911,776,694,868,465,753,255,681,152,179,706,
151,129,767,305,083,188,886,740,287,743,779,960,325,399,115,465,958,639,157,
557,484,012,067,496,774,294,431,548,672,503,329,752,283,773,017,549,317,420,
736,562,282,661,187,269,048,337,660,871,384,713,176,212,252,085,638,867,315,
276,914,306,371,644,527,961,528,636,287,123,816,929,819,196,055,780,819,518,
998,202,706,826,613,673,465,877,076,653,930,617,128,425,587,183,367,305,178,
748,004,718,780,696,084,821,027,925,241,318,635,735,391,791,682,366,172,336,
699,552,180,188,684,822,096,709,978,634,382,522,435,576,550,565,411,285,570,
166,655,659,097,867,642,373,470,460,443,804,660,817,842,182,149,368,875,094,
145,440,048,711,447,770,342,735,005,897,456,550,643,741,629,452,668,794,279,
305,059,503,823,032,239,869,963,441,831,887,937,534,189,834,091,882,726,558,
400,340,586,584,987,639,863,024,316,546,217,810,519,217,096,792,071,740,973,
934,160,752,712,307,587,527,388,629,620,280,682,569,403,616,186,620,540,509,
389,119,787,468,578,701,287,834,626,399,201,231,146,928,027,670,647,037,724,
596,924,435,448,601,355,447,507,864,475,923,401,495,440,913,459,361,983,598,
398,286,437,288,713,243,786,427,655,369,959,486,886,425,015,515,228,583,008,
219,637,268,115,564,011,730,790,989,008,609,179,237,062,257,559,674,780,618,
392,060,595,651,871,508,527,810,217,036,907,297,676,425,152,643,616,385,675,
979,623,664,951,302,346,860,953,059,484,768,010,121,964,073,463,283,103,426,
601,680,509,375,898,616,433,025,902,161,647,355,832,001,051,747,067,950,356,
879,928,852,884,976,741,090,925,817,911,075,545,430,268,606,439,902,761,832,
497,020,070,692,338,762,445,492,846,575,374,705,641,658,992,034,899,239,825,
236,973,941,446,431,142,765,392,681,994,280,525,681,274,234,754,613,601,506,
221,849,237,744,849,871,010,094,800,154,099,464,949,150,793,520,933,473,626,
388,471,188,374,908,777,554,596,833,757,223,094,874,181,152,812,655,067,229,
174,171,871,921,507,704,408,814,803,722,405,561,852,562,253,634,100,942,836,
080,915,186,455,678,784,863,698,549,974,006,049,878,400,178,733,746,998,854,
659,326,614,117,259,354,909,859,642,994,846,363,752,235,092,664,753,374,594,
490,773,839,213,365,279,146,746,199,074,729,814,902,791,082,396,511,939,441,
143,649,050,111,309,270,097,888,485,529,506,472,258,482,104,674,506,100,581,
186,122,113,329,764,544,913,974,712,739,789,219,173,281,715,057,288,294,887,
464,171,887,416,991,227,551,661,441,228,341,158,180,492,099,337,944,735,842,
024,482,004,643,766,534,272,720,088,958,741,081,244,598,396,032,400,954,914,
777,938,240,735,261,317,590,624,891,951,923,346,787,315,364,729,065,355,813,
382,442,920,120,550,900,912,252,869,669,296,045,444,922,671,569,388,550,919,
596,607,373,687,562,614,421,249,089,536,515,427,938,997,482,838,263,587,877,
232,572,906,401,767,316,984,109,611,010,331,834,851,186,065,019,764,045,759,
878,448,957,657,892,371,680,758,520,029,142,616,106,004,143,297,105,550,181,
931,088,553,218,949,533,729,175,584,052,946,113,950,681,565,605,295,956,530,
595,858,993,117,994,502,770,036,120,703,456,623,797,822,065,029,934,812,926,
633,875,327,057,558,050,605,728,434,763,364,194,061,192,263,815,155,928,881,
039,250,407,476,300,453,412,016,011,860,205,430,455,760,981,634,855,848,969,
063,327,539,256,980,483,996,430,299,701,792,589,171,591,397,980,172,152,215,
751,355,422,212,079,643,806,647,663,801,825,729,988,045,791,518,605,112,179,
748,921,832,606,265,124,517,361,969,335,526,458,014,011,816,943,477,338,055,
110,351,145,711,367,951,796,269,681,493,310,696,020,751,553,554,238,738,972,
606,832,966,137,307,139,851,199,555,917,808,394,210,121,762,192,310,413,199,
494,996,640,670,658,253,611,264,411,511,827,293,180,677,631,720,504,143,375,
768,456,504,160,330,818,191,892,013,413,663,367,414,669,611,745,987,935,186,
808,870,686,415,502,049,130,058,753,210,700,851,473,375,876,739,384,556,071,
598,989,629,606,737,563,697,776,088,365,885,385,518,729,979,663,710,734,918,
747,859,392,704,577,698,143,532,585,829,867,558,632,587,169,275,453,553,906,
861,665,433,193,898,425,892,760,540,674,967,733,786,476,477,446,891,752,448,
958,492,056,925,763,932,167,013,751,506,155,830,042,329,364,281,279,851,492,
668,025,575,832,177,868,007,976,661,489,281,481,379,372,352,463,587,962,145,
371,456,472,178,559,460,953,114,669,060,066,128,394,332,557,893,383,070,670,
350,566,888,013,941,968,180,091,966,665,085,568,763,785,598,441,864,146,428,
002,565,090,512,495,423,783,580,811,651,951,922,469,163,681,361,422,012,888,
500,582,867,732,095,044,443,055,490,139,273,886,742,944,468,582,173,138,480,
271,919,672,793,136,884,972,611,737,675,476,327,672,652,572,463,299,889,839,
463,750,968,878,269,736,378,242,467,173,563,943,079,438,373,169,263,218,367,
013,956,885,072,037,598,966,950,424,587,314,991,915,018,724,981,493,303,095,
266,705,269,099,756,402,457,933,451,996,135,480,908,886,464,882,166,550,338,
522,709,287,260,472,547,321,967,310,980,729,467,861,332,932,170,702,263,386,
085,424,985,665,039,426,570,525,820,620,234,230,484,401,186,723,162,382,611,
508,942,824,388,983,119,359,457,494,205,616,977,021,690,856,574,869,854,241,
911,682,095,170,512,667,149,962,289,322,533,909,183,460,907,284,053,271,897,
835,370,518,130,717,997,248,775,438,054,369,399,185,114,663,870,691,088,143,
296,837,684,827,606,480,261,682,809,683,539,827,365,498,407,532,368,405,968,
994,021,780,474,001,033,298,014,716,578,225,815,506,845,398,974,428,417,078,
211,626,280,606,987,036,250,827,158,128,545,966,250,186,762,449,489,325,530,
421,765,250,471,358,117,334,188,232,429,431,951,589,594,424,243,048,617,012,
965,585,508,604,473,575,241,191,251,132,347,097,836,041,536,824,197,061,134,
654,886,009,634,814,014,947,816,407,421,511,300,934,489,280,832,404,179,971,
049,027,068,760,524,197,243,888,943,325,581,533,458,029,098,060,038,565,602,
771,411,823,687,263,680,356,482,840,846,300,619,313,097,940,730,973,755,195,
604,178,823,339,491,226,152,990,694,870,680,200,167,189,737,781,871,028,191,
225,314,675,689,502,138,900,341,207,374,147,404,716,405,915,529,151,803,166,
568,803,575,832,703,446,660,447,252,105,234,750,582,187,660,857,729,353,410,
461,870,028,637,050,527,819,747,730,238,698,491,167,124,716,556,964,842,356,
003,852,245,233,319,863,602,064,957,787,832,255,057,706,809,148,219,385,860,
036,991,740,824,480,856,310,339,554,246,228,769,290,598,068,376,625,462,182,
902,822,248,072,469,674,963,525,204,407,239,843,249,870,257,007,870,687,646,
567,005,031,212,593,086,507,546,865,849,369,343,979,828,162,425,333,718,817,
027,630,016,203,880,300,120,203,895,962,070,194,800,285,803,070,035,717,266,
846,395,023,306,957,773,531,693,852,815,352,571,866,272,287,606,638,145,034,
073,270,406,674,719,104,994,461,145,167,228,018,872,112,288,782,425,380,955,
306,122,874,230,065,727,069,645,880,105,615,934,711,708,355,319,417,968,596,
712,027,856,924,918,218,385,010,370,068,241,934,785,040,188,594,344,048,985,
516,614,073,413,894,742,328,984,050,635,759,716,558,303,457,684,912,545,184,
289,273,444,874,094,290,316,074,247,570,478,946,865,125,455,448,079,533,502,
423,331,536,199,697,346,047,606,673,939,594,122,951,263,732,943,675,280,617,
787,869,957,246,111,364,206,604,142,952,896,052,142,970,392,725,633,145,798,
514,492,069,132,063,633,663,843,947,705,811,748,205,241,357,159,793,900,845,
919,222,137,925,777,694,274,798,434,014,307,796,671,929,178,478,154,881,634,
683,843,804,504,755,713,211,915,003,833,751,191,239,332,502,807,280,542,362,
896,541,849,541,296,984,810,794,470,078,179,652,254,240,380,697,477,819,521,
258,342,009,548,345,118,368,508,086,502,079,611,651,641,602,777,485,640,760,
053,610,452,554,127,024,974,382,105,814,236,183,397,978,413,178,113,228,321,
898,108,181,077,167,029,775,625,255,460,340,992,506,711,076,279,750,883,013,
595,670,485,624,561,309,904,968,494,432,647,914,958,670,449,974,844,104,747,
638,048,227,549,055,241,826,479,050,319,819,858,064,308,337,719,741,567,518,
946,954,301,275,950,426,859,018,529,736,510,722,964,837,385,865,112,734,297,
145,277,299,234,417,242,263,979,975,493,594,771,329,295,106,041,566,468,267,
596,460,950,610,031,057,508,563,222,963,585,881,012,835,451,292,712,692,481,
113,166,247,285,413,025,205,565,285,640,804,495,492,361,385,377,938,263,904,
043,510,906,657,239,115,498,843,336,304,368,944,477,493,526,507,487,555,899,
554,738,025,299,806,015,528,562,364,074,273,044,450,774,122,648,698,242,782,
084,041,503,756,851,577,787,249,365,367,309,443,326,638,433,101,825,860,519,
964,576,532,307,584,877,601,689,913,672,392,385,401,623,002,355,194,916,904,
726,589,041,605,125,658,393,729,650,949,642,284,834,302,949,837,248,237,981,
988,570,118,795,732,100,924,082,557,086,077,731,638,486,889,207,149,549,597,
135,592,267,195,765,633,270,099,209,315,875,705,469,595,230,087,126,258,903,
295,058,326,424,397,753,721,709,441,117,224,327,225,029,168,354,026,906,628,
562,594,663,422,199,997,227,053,416,747,453,917,618,229,951,338,348,462,633,
224,402,476,244,963,636,160,944,831,422,198,695,229,335,220,426,023,203,394,
266,108,692,542,433,564,725,916,311,904,172,570,634,494,101,803,907,098,812,
675,375,088,729,628,271,107,830,659,643,175,109,160,507,670,990,539,527,202,
781,545,542,890,274,395,566,959,681,135,963,680,279,466,156,572,727,396,450,
479,028,283,218,158,338,546,654,354,519,769,261,981,964,673,910,610,628,173,
638,104,544,666,544,750,003,356,129,721,809,368,625,313,135,068,854,610,890,
122,209,548,460,302,247,946,745,133,496,709,125,056,787,565,409,930,671,227,
685,737,443,887,177,363,190,350,497,657,016,614,284,970,687,392,885,205,954,
058,558,753,666,692,868,782,924,018,755,768,865,095,297,887,831,303,798,574,
932,199,137,415,960,696,729,023,981,663,977,091,091,723,498,954,984,624,955,
887,907,009,199,208,301,748,438,603,056,978,759,736,719,740,415,211,676,382,
279,022,803,393,324,692,882,922,350,294,784,026,596,008,572,114,196,610,737,
608,138,434,981,339,310,696,724,374,894,257,114,450,621,321,909,393,115,731,
309,772,369,827,309,166,732,797,984,185,700,272,814,269,297,684,735,784,257,
469,039,256,544,217,745,948,595,126,063,140,038,427,765,265,645,766,181,008,
539,863,064,388,283,519,576,153,359,465,350,658,385,631,760,690,136,590,031,
827,156,849,934,588,810,890,535,015,786,274,982,856,224,857,627,652,294,717,
507,039,404,964,759,259,813,941,024,923,278,596,608,924,445,317,771,999,679,
874,180,471,222,976,429,764,187,961,745,879,902,946,606,677,292,564,422,303,
244,472,606,998,241,105,075,985,921,190,310,396,154,262,172,849,280,636,485,
280,834,075,316,907,085,389,080,654,628,628,322,008,939,492,251,769,312,209,
773,716,413,853,854,502,459,142,911,764,259,648,643,393,766,364,085,474,404,
952,383,008,837,211,193,754,084,290,955,196,345,270,654,069,935,813,482,722,
318,261,431,272,112,355,788,513,525,431,625,908,871,010,676,941,836,938,785,
936,478,706,388,671,148,285,272,848,265,244,520,018,275,161,821,726,696,849,
129,620,840,886,960,314,899,427,309,591,216,956,986,946,731,446,418,951,038,
068,275,574,122,176,901,556,526,352,824,692,341,051,675,602,272,513,202,299,
148,322,221,267,339,471,312,521,529,772,711,500,558,175,283,237,782,390,131,
898,259,084,378,865,064,700,538,817,689,016,730,371,582,237,018,781,135,673,
885,445,666,082,834,167,925,992,254,919,597,623,161,334,633,850,889,095,782,
345,657,945,206,892,195,596,640,323,495,076,421,535,279,985,227,923,901,651,
263,613,643,747,454,243,219,509,332,678,415,635,857,835,160,013,336,000,524,
355,149,313,370,520,324,204,882,181,061,311,607,956,915,073,342,517,446,943,
643,423,608,418,715,193,554,981,671,107,568,780,603,636,310,835,769,916,350,
955,933,564,805,566,025,389,712,475,357,652,067,540,005,017,905,234,439,935,
807,029,620,589,041,508,886,540,605,571,566,293,652,527,271,410,969,228,728,
860,562,263,007,028,082,747,475,779,391,496,002,373,261,803,295,809,442,022,
514,025,711,372,051,692,062,513,225,312,333,078,239,008,141,803,642,578,662,
674,772,382,959,276,635,579,621,031,200,084,833,655,061,318,979,533,924,517,
542,682,573,963,712,397,822,070,468,654,111,561,576,487,468,399,771,768,383,
993,646,381,042,559,945,164,590,575,241,151,016,573,472,213,314,972,429,054,
839,309,088,595,764,778,451,678,375,938,321,686,411,262,470,105,954,278,745,
376,236,372,423,597,970,322,949,393,084,080,358,251,711,398,433,584,936,989,
863,906,409,979,482,043,583,499,418,177,185,192,087,443,978,748,595,915,603,
240,060,943,804,138,209,208,173,633,803,302,338,897,215,916,262,755,965,662,
260,313,593,102,629,909,724,949,752,977,559,258,159,505,532,949,355,913,336,
162,180,247,221,119,024,621,782,495,027,947,241,265,927,139,066,348,909,197,
365,490,495,996,954,298,306,423,006,555,651,878,688,651,805,944,990,324,726,
813,227,706,334,591,347,683,970,670,777,049,497,491,115,709,093,350,005,648,
445,550,198,196,556,323,956,959,338,550,181,084,600,130,854,128,016,636,272,
276,357,930,430,529,831,498,773,363,629,797,958,126,989,981,880,812,966,362,
581,489,110,554,833,012,569,960,665,000,679,380,177,147,892,114,560,740,571,
217,891,447,114,129,306,690,397,545,596,355,807,920,705,771,026,179,025,863,
027,960,884,525,209,516,357,137,764,461,476,125,435,407,917,038,770,186,181,
706,898,884,984,967,993,418,149,578,006,504,049,238,921,947,988,457,257,384,
938,543,281,461,619,493,828,268,133,032,984,756,740,303,225,546,490,010,295,
027,128,795,371,960,397,890,852,356,005,197,294,720,794,516,972,948,043,246,
220,897,341,520,309,130,804,835,180,756,550,454,809,860,512,430,028,332,358,
681,667,876,268,554,839,170,596,752,407,303,408,191,387,393,543,857,693,876,
905,237,735,515,717,251,676,125,367,865,483,911,131,855,723,283,879,750,925,
369,166,788,910,455,490,731,465,855,128,840,358,422,417,104,844,124,609,698,
867,663,857,587,393,239,076,108,242,774,752,799,965,853,650,165,761,152,420,
754,587,827,346,228,908,623,656,596,139,092,459,094,127,700,893,517,211,495,
995,391,604,218,972,413,501,629,224,587,285,841,630,783,016,648,524,372,263,
177,465,146,396,304,822,149,537,382,399,261,593,974,846,923,455,217,803,427,
989,817,829,590,761,466,725,204,041,199,770,533,797,531,648,401,767,222,194,
579,688,507,420,912,080,013,479,038,090,634,404,166,773,122,826,441,060,949,
196,924,860,682,787,376,983,828,894,553,345,114,973,370,878,033,430,571,870,
159,897,335,990,318,117,620,105,360,490,737,030,729,694,601,371,007,218,294,
390,483,603,604,097,536,302,097,224,475,825,632,236,087,123,513,588,147,491,
921,250,302,840,358,200,433,356,740,664,098,342,335,649,095,490,270,870,058,
521,291,279,642,471,814,740,633,670,628,509,103,913,140,685,441,402,788,550,
749,095,968,687,852,044,200,062,349,767,122,308,613,030,568,026,481,925,304,
000,873,691,144,623,470,693,341,998,602,039,601,774,589,302,117,203,719,054,
511,584,605,629,983,360,296,236,936,474,294,388,427,588,417,350,691,723,556,
276,002,031,387,624,692,554,632,093,889,795,777,992,822,804,112,617,338,074,
880,090,371,688,076,821,817,150,076,989,563,941,924,056,366,672,685,017,959,
225,975,830,348,669,265,804,364,278,822,204,685,304,019,131,170,035,799,787,
898,847,682,607,978,581,799,387,977,526,499,562,034,764,573,839,166,723,540,
752,674,588,985,189,101,847,923,584,105,956,618,854,976,606,756,720,622,424,
457,072,510,893,451,959,287,343,942,415,466,542,238,123,998,924,776,519,617,
609,355,893,685,557,355,669,116,213,080,123,844,634,780,572,167,034,357,153,
159,135,020,147,572,707,015,263,213,155,134,061,306,568,237,683,553,457,359,
950,939,213,728,622,297,051,180,279,038,245,403,542,209,763,296,707,833,174,
957,105,790,612,606,842,760,520,961,934,231,807,357,246,329,274,332,673,362,
177,462,164,450,829,146,977,790,707,717,797,783,709,294,441,645,224,506,092,
390,741,750,230,933,513,617,148,001,019,759,043,464,993,638,659,078,327,461,
141,452,886,746,627,030,846,776,381,557,150,607,845,531,941,804,437,550,167,
790,359,665,959,266,065,827,217,510,670,613,790,805,586,626,981,315,818,950,
403,718,716,892,953,064,182,915,689,746,921,651,764,737,487,547,860,218,532,
503,979,953,364,836,568,608,077,466,077,147,779,852,551,884,941,629,435,606,
661,642,973,492,347,144,699,987,116,882,050,513,094,735,369,647,607,581,163,
425,175,915,070,207,610,034,287,780,732,056,227,963,295,978,785,290,696,667,
274,086,631,927,059,319,479,051,495,636,956,536,224,797,837,785,317,826,675,
379,055,299,599,070,645,995,694,692,855,372,921,126,347,082,980,978,933,141,
589,928,536,181,126,067,555,840,274,089,325,600,100,943,887,877,431,631,308,
585,801,770,822,493,489,472,617,109,466,711,000,321,092,853,829,115,088,632,
593,398,222,568,160,856,372,962,751,115,852,749,527,194,080,306,153,073,236,
105,252,782,998,147,132,552,409,479,199,190,749,693,879,265,937,855,540,575,
385,328,514,071,017,806,420,220,439,135,058,771,473,773,458,099,637,007,012,
002,940,100,798,439,991,211,276,160,545,436,003,599,385,838,278,500,157,884,
924,594,985,946,465,560,043,452,363,396,074,693,037,413,037,787,183,792,777,
679,712,835,670,738,176,097,477,555,515,529,759,583,476,409,960,451,393,046,
274,073,816,629,435,869,355,324,165,292,702,231,852,544,781,335,756,168,775,
383,990,583,429,282,860,882,260,635,873,365,546,252,904,727,378,550,411,745,
149,203,554,840,571,551,330,174,937,867,092,939,022,551,364,406,987,391,914,
783,197,491,201,340,700,441,623,440,159,044,544,832,791,353,553,658,095,332,
466,421,276,420,703,571,009,797,695,539,625,163,436,899,424,895,953,658,232,
616,353,233,602,630,340,193,889,501,556,026,426,797,809,123,201,395,960,446,
841,809,837,211,027,942,798,437,176,913,865,029,622,707,353,195,115,729,235,
128,063,596,950,539,804,645,865,726,456,020,713,968,378,635,679,566,869,951,
150,204,475,162,104,391,170,307,768,590,394,810,619,475,820,768,849,359,607,
538,480,056,617,521,410,718,438,254,676,951,855,709,191,966,781,000,539,504,
685,888,712,132,108,270,209,614,878,080,608,418,744,517,656,533,748,972,474,
645,347,098,194,700,859,885,383,000,391,045,315,923,900,154,154,405,240,536,
762,422,143,650,387,506,232,273,497,514,610,817,446,125,906,630,079,243,921,
263,372,414,639,997,119,060,458,232,193,927,909,491,502,465,091,984,665,431,
468,004,294,741,684,779,563,018,633,175,669,173,803,414,397,439,113,423,900,
337,269,634,900,078,067,174,818,364,773,338,693,283,708,941,909,626,587,929,
488,388,779,724,149,664,334,991,045,883,558,049,408,550,037,479,235,494,331,
369,775,349,892,092,781,771,761,907,630,293,710,494,345,870,348,660,562,089,
975,550,097,012,918,786,162,238,782,156,683,622,414,718,427,016,599,254,292,
928,020,726,639,696,434,532,562,496,706,145,678,966,567,548,982,660,637,534,
685,199,116,461,586,828,514,166,037,550,571,647,924,567,836,193,747,527,453,
581,686,497,131,617,755,299,375,108,846,471,539,567,734,492,770,951,053,586,
662,982,470,456,764,637,609,466,003,499,622,696,725,707,003,052,974,203,580,
504,485,651,724,279,931,697,014,339,510,136,643,855,422,914,282,063,299,790,
408,653,062,812,582,190,627,830,505,692,022,356,684,457,796,015,804,647,897,
468,121,939,720,952,515,981,354,781,246,413,669,157,801,163,378,705,332,520,
459,202,042,577,425,182,852,031,122,556,013,462,415,308,546,995,266,486,269,
855,922,806,947,079,995,784,229,024,665,638,866,359,774,215,082,271,235,721,
787,688,735,626,465,732,270,339,169,504,023,289,659,409,590,439,760,269,612,
517,615,508,308,624,402,857,490,524,504,981,340,765,730,142,964,474,437,986,
131,489,048,685,316,501,842,985,883,072,177,448,647,913,656,103,513,613,648,
001,790,941,007,607,245,287,307,825,355,093,758,051,365,977,268,979,608,442,
404,818,612,282,392,856,907,878,854,426,937,255,041,360,516,667,026,812,234,
577,660,930,121,217,825,346,723,124,384,574,621,977,464,704,944,207,472,119,
020,440,489,008,674,076,798,427,232,506,440,383,420,287,474,636,208,950,259,
214,769,237,655,033,620,315,071,046,994,245,505,489,720,545,667,488,941,316,
317,429,681,037,065,519,804,447,994,812,994,803,561,633,124,865,430,107,439,
272,118,815,171,071,343,101,971,121,994,056,800,527,812,178,138,046,861,475,
639,978,815,100,676,387,063,640,453,457,997,209,371,106,662,583,610,082,823,
826,773,607,395,156,748,700,133,513,318,606,689,963,793,730,795,246,922,976,
249,213,155,033,873,587,337,664,978,565,282,567,686,985,979,775,170,257,918,
630,411,910,108,300,514,699,125,042,275,816,707,375,117,128,040,478,722,206,
614,512,152,464,825,569,640,341,035,231,652,182,905,079,503,208,263,860,745,
982,651,884,304,230,881,254,309,112,816,682,015,846,808,088,710,987,239,673,
761,867,966,396,335,631,897,696,975,604,183,866,529,152,076,765,710,683,096,
540,958,126,427,951,751,939,337,795,396,222,330,143,266,033,811,779,072,861,
016,375,241,148,919,183,273,225,846,597,703,772,930,415,528,103,130,509,364,
187,226,982,585,116,747,461,499,146,964,717,427,500,298,237,397,256,361,443,
042,240,124,421,589,459,955,496,330,997,222,044,538,667,538,624,448,009,813,
991,190,727,768,594,338,718,944,952,742,413,399,171,276,427,419,785,524,437,
212,477,815,837,994,813,539,854,769,342,059,113,434,448,042,892,396,601,152,
524,052,848,073,948,768,054,063,787,656,346,191,734,544,927,893,328,608,939,
643,034,437,148,102,989,085,540,864,538,459,512,700,342,485,611,878,834,370,
902,965,896,710,541,722,901,038,998,056,503,231,007,623,647,869,930,838,311,
450,965,388,683,277,702,905,874,470,396,585,803,593,135,958,044,773,725,141,
242,196,963,855,369,558,411,864,589,221,511,513,998,924,877,878,366,962,710,
190,452,497,183,907,000,610,099,137,834,840,630,851,537,174,705,033,313,215,
830,824,219,441,662,944,371,635,399,468,408,303,805,352,496,223,359,154,367,
733,598,772,258,528,809,651,373,114,047,569,501,989,372,874,125,655,412,212,
996,649,638,849,258,553,142,813,798,911,578,283,282,357,911,427,192,421,207,
872,632,279,003,283,505,740,061,793,334,108,178,484,252,141,984,577,930,316,
612,403,492,101,548,887,352,238,625,785,909,778,391,710,356,697,376,137,389,
788,991,163,741,669,639,529,539,117,270,126,171,330,306,446,744,499,292,283,
092,196,660,705,519,701,794,035,208,232,853,597,129,523,764,436,181,872,990,
336,017,584,548,106,086,590,828,803,050,525,927,695,649,423,784,296,609,399,
318,985,425,331,575,917,597,023,423,744,444,746,658,775,150,833,888,777,311,
893,412,295,785,002,606,614,593,039,314,014,300,827,734,319,577,136,082,935,
699,400,856,344,343,392,101,131,876,980,735,101,464,647,419,269,673,100,910,
019,710,333,685,334,763,439,483,642,974,230,873,502,455,924,500,857,792,429,
003,081,574,011,302,604,592,948,370,133,841,921,209,833,421,323,344,543,548,
802,885,872,963,230,894,915,333,246,121,871,750,153,628,696,759,322,112,273,
356,916,768,221,193,520,366,818,422,583,218,227,960,488,765,105,158,510,795,
398,893,073,922,166,424,472,970,261,910,520,592,262,003,431,489,378,035,149,
342,373,369,897,970,910,944,727,284,994,343,305,803,083,251,532,730,093,933,
843,292,416,177,149,258,496,168,121,169,055,695,415,595,532,623,814,155,201,
148,345,561,233,254,351,291,843,812,882,906,578,628,998,965,672,829,898,808,
516,083,877,945,229,374,136,948,620,139,118,415,872,225,125,977,938,704,327,
956,282,350,664,071,103,127,059,037,381,095,971,661,592,769,308,179,365,293,
681,039,486,193,377,252,170,138,917,822,852,615,444,256,097,280,390,863,207,
758,759,343,623,891,306,028,177,922,111,226,618,347,419,238,632,594,061,944,
555,664,877,380,423,029,042,453,571,925,362,005,228,596,417,356,318,282,052,
692,650,973,185,139,340,542,304,865,435,103,550,494,522,959,809,450,206,451,
630,253,296,666,223,732,639,094,758,010,651,991,623,778,561,322,358,565,836,
836,210,904,566,942,028,728,040,138,467,147,495,167,067,113,115,041,390,402,
776,207,382,622,468,103,566,302,904,833,079,439,298,692,265,989,322,729,791,
541,147,834,375,139,628,773,384,349,996,573,718,977,253,677,026,801,093,885,
883,976,403,760,603,795,394,468,787,371,330,052,674,944,485,005,107,267,324,
329,923,647,548,073,778,206,523,694,893,873,398,990,503,157,369,147,357,700,
741,434,556,850,413,278,999,915,082,647,349,865,097,666,742,443,602,678,939,
574,700,392,096,704,196,979,773,204,888,483,323,755,927,694,876,805,467,500,
456,806,307,592,453,622,594,950,985,200,225,532,802,233,421,678,937,350,743,
160,922,659,718,995,052,326,091,022,773,299,129,400,029,955,371,904,866,470,
480,583,280,120,703,868,161,169,299,875,896,926,183,604,023,951,078,863,558,
338,316,127,118,646,754,371,573,724,139,555,959,181,722,211,341,552,471,735,
331,169,255,769,632,376,213,895,006,504,263,911,510,053,740,164,175,294,587,
762,923,614,730,455,846,018,522,992,829,892,466,510,438,861,125,422,586,786,
253,054,258,251,160,917,211,639,744,447,213,887,361,214,720,658,517,168,510,
862,477,991,348,929,094,626,621,027,297,934,138,701,585,804,105,194,063,831,
430,907,584,416,298,560,974,623,231,472,866,840,384,254,914,103,212,168,327,
479,538,173,648,503,624,474,759,478,062,681,082,552,975,644,305,420,898,100,
760,172,284,372,387,187,536,024,787,186,775,749,910,963,035,635,841,466,138,
163,875,177,141,140,058,112,331,051,208,204,603,873,688,359,359,409,102,958,
278,366,900,393,720,960,188,155,616,948,942,763,334,135,900,133,055,982,884,
400,538,235,770,260,982,173,594,135,924,499,414,261,852,678,401,495,216,570,
992,421,102,978,351,191,786,209,813,800,448,560,115,221,605,334,188,432,631,
226,281,150,216,244,489,011,744,085,262,363,717,917,850,113,211,156,317,936,
318,353,955,277,221,401,606,314,478,681,446,100,467,132,067,883,988,330,726,
316,791,795,189,870,809,005,227,115,530,669,907,558,506,136,175,824,459,524,
770,866,697,117,079,609,048,968,506,546,127,620,947,165,896,848,238,713,950,
653,270,295,226,443,731,367,482,078,645,121,568,667,785,132,301,305,603,059,
670,839,052,876,463,653,941,283,918,228,402,092,334,473,743,049,968,426,354,
618,790,247,497,257,713,061,749,105,042,340,015,358,867,082,835,342,319,401,
730,697,810,003,601,883,783,605,560,590,929,904,700,124,038,704,272,786,448,
773,972,919,101,497,495,427,284,570,919,933,674,293,255,933,539,574,964,824,
522,557,451,153,335,044,021,774,283,946,828,776,806,308,266,546,175,532,848,
910,327,581,512,624,777,796,423,489,259,226,319,376,654,352,807,149,500,305,
748,641,634,196,496,385,084,092,676,300,608,695,402,576,691,815,353,792,850,
058,716,265,759,335,520,750,046,691,748,702,350,311,214,980,379,125,261,265,
230,367,211,126,644,061,965,118,913,555,190,524,893,548,185,189,918,873,392,
240,196,865,226,805,287,642,874,125,765,482,193,665,492,569,387,606,495,330,
023,584,739,955,171,993,455,037,705,288,249,316,393,248,947,426,379,178,242,
630,733,208,672,468,144,985,439,590,316,982,979,304,599,307,721,120,411,871,
524,907,103,084,790,964,643,865,763,021,850,336,463,361,078,918,624,583,444,
962,718,876,893,193,716,211,733,817,115,456,449,494,615,317,589,681,869,724,
518,078,094,393,428,925,725,534,944,184,265,337,311,458,439,299,400,277,168,
437,310,849,934,337,417,232,655,299,323,030,143,758,853,759,506,407,331,018,
909,957,803,508,466,175,214,035,337,198,397,831,846,701,574,699,020,221,770,
867,883,546,511,461,942,902,439,431,015,801,588,608,745,214,216,063,185,726,
721,795,381,680,133,193,856,730,306,734,168,468,342,333,908,320,024,828,921,
578,899,945,038,427,600,472,876,386,067,853,356,354,937,572,375,238,206,136,
696,171,853,231,323,400,587,565,294,323,117,906,766,128,736,204,516,629,993,
635,082,053,841,824,194,050,897,199,271,852,063,837,163,466,965,913,881,765,
351,712,217,631,886,201,908,176,922,029,422,357,481,155,795,979,854,937,262,
042,383,093,210,389,005,515,900,570,774,716,132,216,613,610,134,861,274,940,
787,295,725,938,782,195,595,674,554,281,478,439,699,485,463,981,183,413,764,
777,619,891,761,514,904,264,852,569,192,872,823,722,888,062,937,541,901,338,
490,986,818,036,142,728,673,710,444,863,157,528,754,705,580,600,871,715,871,
058,064,294,402,865,262,292,492,028,617,701,539,650,848,145,496,937,734,184,
316,004,920,903,755,835,660,425,976,052,488,579,980,153,712,737,112,437,233,
315,472,569,036,488,846,859,598,590,459,830,000,155,814,642,547,174,282,338,
627,090,017,864,656,614,748,094,178,981,963,195,900,438,573,698,384,961,295,
717,484,616,715,533,587,857,703,291,430,700,781,314,532,449,357,978,513,773,
212,303,681,029,214,725,705,497,439,325,530,655,813,448,498,007,085,374,687,
906,211,987,690,548,312,406,483,176,270,444,975,030,705,682,780,116,881,145,
740,522,249,522,998,635,844,689,640,472,736,155,177,117,859,901,154,112,022,
645,713,725,370,568,109,739,935,512,781,473,565,857,846,212,322,768,501,400,
913,630,248,588,863,760,459,100,801,299,837,361,759,093,060,034,498,316,884,
798,864,200,105,481,978,678,425,779,679,385,828,034,010,155,855,664,828,092,
537,309,800,623,464,942,826,719,338,706,775,908,072,248,602,930,273,979,181,
782,175,174,321,905,370,732,781,075,226,343,871,785,728,134,810,905,237,046,
902,068,896,218,057,664,362,609,051,232,189,241,159,524,411,157,057,958,374,
683,615,384,770,415,407,638,444,971,582,806,785,718,464,445,877,673,818,502,
679,751,594,788,342,493,166,318,216,813,483,014,855,875,099,233,348,219,153,
636,324,927,511,587,438,109,052,371,968,504,235,473,200,806,926,908,881,043,
212,138,587,770,047,917,939,737,352,539,965,589,628,502,635,627,645,593,048,
139,577,730,809,658,211,113,895,858,460,511,003,188,153,873,011,589,712,396,
914,973,804,651,677,673,879,658,316,710,935,567,054,205,498,444,443,329,061,
454,795,933,813,322,105,411,005,411,748,368,795,054,162,568,529,695,882,637,
202,969,274,285,207,588,939,705,373,064,689,206,160,863,996,466,363,243,932,
785,912,318,979,443,551,121,043,998,456,617,347,289,237,085,150,967,972,904,
306,616,132,100,428,648,338,640,664,082,853,840,869,192,857,660,123,204,165,
158,762,402,668,144,007,459,316,842,354,383,317,874,397,006,325,833,162,395,
483,559,777,172,202,815,488,638,337,910,054,683,965,076,537,601,745,189,951,
202,991,564,328,886,798,285,924,399,690,072,019,292,122,977,094,881,144,079,
819,949,416,101,707,144,911,348,015,992,088,466,735,459,785,165,196,805,391,
140,751,451,466,639,004,798,442,917,675,729,717,775,524,164,241,885,154,530,
947,250,849,319,030,132,648,455,150,607,663,979,089,451,004,511,474,586,445,
755,466,210,276,788,368,216,135,413,789,569,383,497,130,655,051,622,986,366,
815,535,401,335,455,838,551,509,880,650,548,319,100,523,449,232,903,763,788,
305,453,733,633,737,347,073,906,225,645,892,294,330,391,622,837,931,871,938,
285,519,846,780,291,662,611,851,162,784,636,635,078,909,324,390,386,066,067,
972,310,621,250,614,394,408,518,966,060,806,446,591,020,784,671,709,666,332,
977,880,202,475,036,738,833,641,966,186,087,188,798,859,986,820,789,608,893,
537,214,353,468,292,519,584,595,378,192,929,014,177,991,953,517,556,040,242,
345,102,753,648,382,193,721,520,241,495,509,296,545,179,557,701,368,316,677,
004,064,537,668,190,742,628,436,295,107,594,872,421,560,655,681,574,173,736,
791,194,656,072,358,441,253,614,385,577,235,612,909,615,195,644,747,024,663,
674,376,741,122,518,251,373,173,385,729,360,711,077,183,985,053,267,045,700,
481,623,983,370,543,103,677,330,422,809,046,330,363,567,328,471,797,902,883,
356,700,689,179,698,882,251,245,993,435,080,789,153,588,743,405,054,834,197,
795,959,890,964,794,275,268,262,921,817,344,394,654,793,265,203,593,801,736,
739,591,640,129,341,432,972,493,867,976,351,062,333,111,644,694,006,676,253,
245,253,994,770,190,144,379,105,457,703,948,662,381,990,491,482,801,904,739,
757,663,516,710,472,915,239,074,995,896,880,635,653,135,728,633,927,683,054,
661,927,327,483,493,467,106,063,613,278,023,912,059,168,738,205,213,863,698,
431,687,931,649,985,336,221,806,130,306,270,064,415,122,388,607,847,892,414,
583,771,766,382,028,075,002,606,753,272,814,556,534,666,840,318,521,356,941,
412,241,533,539,760,458,966,744,187,512,059,161,373,657,438,456,184,165,623,
981,358,005,124,150,329,879,025,978,083,052,884,239,289,923,131,093,210,922,
090,459,519,350,589,940,107,704,384,516,937,962,644,232,255,322,887,924,872,
129,368,480,068,402,617,417,569,838,018,621,044,803,691,509,607,802,784,202,
728,060,746,639,068,609,287,436,203,256,844,657,689,483,702,799,409,413,232,
666,828,968,689,538,034,050,455,531,627,117,049,871,264,940,771,220,419,043,
512,145,461,938,315,408,485,296,421,524,266,712,068,070,141,955,894,093,501,
416,290,540,246,947,388,122,644,614,727,134,862,017,874,354,858,603,083,746,
663,862,339,062,652,829,632,793,610,626,264,714,294,843,066,565,026,049,333,
310,555,251,487,262,576,702,581,015,591,035,970,010,531,594,613,039,265,751,
512,632,056,563,533,079,679,675,040,425,806,736,124,693,861,159,069,961,538,
962,706,271,672,194,506,284,278,993,872,897,804,849,349,346,188,352,367,762,
954,106,203,025,845,083,704,359,621,073,713,404,105,723,091,283,863,420,112,
063,640,714,713,371,560,471,290,069,635,395,862,481,744,204,881,013,670,654,
214,253,532,701,317,612,765,600,390,160,885,570,891,320,411,448,578,216,629,
622,782,854,199,361,302,498,792,954,663,875,429,522,757,125,177,681,448,644,
060,912,333,645,610,135,968,056,169,355,041,884,272,023,742,166,325,825,928,
010,267,128,994,046,406,025,999,320,841,145,271,468,798,003,018,337,422,955,
564,872,196,767,976,963,245,680,363,081,794,354,246,523,106,805,075,323,196,
334,897,952,866,630,831,379,386,394,030,412,998,027,654,320,312,869,440,448,
591,947,852,024,902,850,674,408,503,905,285,807,998,756,020,115,532,044,234,
424,482,316,391,247,259,633,519,127,993,244,721,413,295,386,550,404,953,094,
282,210,155,303,977,632,616,867,754,216,068,886,833,342,368,933,620,999,609,
740,386,168,619,669,389,243,258,082,823,130,075,368,331,034,162,217,951,064,
120,303,846,633,532,342,203,486,909,906,422,531,241,684,106,879,707,618,095,
788,808,935,624,772,325,332,047,549,816,044,099,453,254,548,099,773,130,667,
644,814,390,701,033,346,093,904,354,498,989,407,245,249,115,427,116,257,310,
711,689,880,891,025,158,838,954,467,143,031,512,905,003,465,645,975,638,918,
352,012,316,582,787,897,396,146,955,534,926,497,306,115,220,504,476,708,182,
767,510,837,977,536,830,666,208,351,358,622,829,843,061,511,935,384,688,546,
417,498,224,045,556,221,830,035,572,014,938,613,213,617,292,203,535,710,669,
267,257,647,435,158,351,827,907,705,649,289,662,539,173,532,879,362,632,790,
024,744,391,053,573,800,970,056,053,507,470,062,828,496,463,049,027,434,660,
006,921,474,118,169,206,690,912,728,943,486,817,139,072,790,356,617,347,817,
250,732,313,620,300,570,885,633,671,354,818,123,905,243,473,776,785,168,697,
101,583,084,196,877,536,445,530,324,581,241,547,911,169,729,258,949,203,109,
125,663,469,246,905,062,365,474,170,115,923,777,767,803,991,724,990,594,831,
390,946,079,823,867,219,546,122,159,717,490,815,892,361,851,259,390,540,958,
439,725,051,226,571,363,252,081,482,092,904,519,281,836,760,577,758,682,531,
469,790,108,971,754,205,494,466,314,720,469,910,858,148,693,863,743,106,803,
541,858,700,954,455,772,503,624,573,890,648,759,319,777,779,585,892,880,508,
349,277,207,693,644,454,148,230,353,748,434,857,686,430,190,686,562,570,478,
738,782,522,711,408,660,631,587,076,837,715,723,659,267,299,845,432,858,137,
234,058,486,812,747,886,667,610,319,388,542,928,980,991,326,589,424,123,089,
702,087,158,672,070,664,545,498,926,718,236,415,405,234,178,171,985,838,151,
253,518,480,105,787,271,467,751,586,405,230,262,614,238,505,256,556,369,722,
536,078,355,891,041,412,648,614,056,182,531,816,504,790,758,582,662,383,451,
571,954,360,913,021,431,448,519,697,049,275,661,022,813,336,793,663,453,185,
570,059,634,737,554,468,572,613,373,739,834,673,101,021,477,825,916,865,266,
108,279,248,406,094,375,183,412,173,341,022,525,910,006,498,939,518,716,689,
634,830,325,251,120,968,519,850,270,805,950,977,211,372,953,497,464,437,717,
078,386,550,843,912,088,620,239,023,355,145,237,031,031,869,697,309,320,698,
859,087,416,634,721,545,441,074,814,019,426,888,922,417,683,627,937,365,163,
972,904,019,206,091,267,131,175,635,315,602,372,464,493,740,121,164,847,857,
973,503,324,543,382,759,092,317,508,911,517,497,683,163,209,081,782,626,908,
013,235,456,880,016,246,827,259,685,133,649,292,729,863,087,590,987,672,526,
366,047,996,506,628,045,192,891,047,910,362,086,515,498,416,360,465,350,228,
164,418,583,296,841,407,557,435,849,164,721,672,105,205,172,766,000,238,928,
644,295,086,184,017,975,521,941,294,820,115,981,242,177,782,977,578,761,257,
445,940,987,276,745,501,078,958,982,482,742,711,433,836,438,001,668,764,326,
206,888,769,475,592,965,362,750,168,704,079,988,217,858,950,306,040,080,908,
403,486,796,217,079,006,705,497,725,079,120,150,113,861,887,267,831,788,106,
293,386,040,187,364,026,345,004,842,585,403,351,849,882,988,421,379,914,005,
993,627,332,561,590,152,540,026,468,811,088,183,303,320,426,583,452,058,105,
803,304,594,813,459,816,881,734,947,054,448,064,488,752,018,121,610,736,066,
993,226,952,590,609,734,240,258,038,665,539,019,978,512,966,207,672,605,885,
126,641,776,883,559,592,067,870,553,396,088,969,210,135,273,887,772,154,731,
467,946,539,899,185,710,964,558,951,149,337,678,413,891,726,134,841,373,751,
298,037,329,936,449,129,056,680,699,924,894,308,099,769,486,044,656,466,922,
633,453,143,429,356,673,951,556,492,872,901,398,569,743,586,634,641,215,088,
376,476,196,930,374,506,730,858,237,590,955,492,534,975,434,645,376,333,630,
481,845,537,868,739,438,403,076,460,910,926,710,231,259,820,603,967,778,567,
558,467,095,691,555,533,810,354,635,524,171,363,767,081,504,465,203,422,348,
270,577,874,657,772,545,893,739,956,146,300,172,312,019,247,717,779,443,101,
410,865,545,449,856,972,373,880,885,376,893,510,456,265,974,616,067,651,030,
236,579,856,222,909,748,634,371,785,180,652,919,585,561,877,144,431,354,783,
417,258,037,081,076,240,192,753,336,752,322,371,841,544,416,570,482,175,029,
047,876,933,425,053,375,149,939,497,391,305,946,348,248,108,537,805,866,849,
826,754,747,891,070,150,298,072,434,962,211,742,974,655,274,492,743,974,300,
235,611,136,785,840,401,834,555,530,396,469,073,042,972,984,876,292,410,979,
829,802,311,191,436,607,039,863,879,112,439,905,035,794,096,571,062,863,513,
829,124,893,720,640,833,329,798,295,598,371,552,181,489,884,773,350,062,970,
620,862,502,151,584,048,115,453,922,351,939,866,585,380,920,084,625,184,122,
297,754,420,147,061,129,576,850,059,499,925,751,903,463,522,582,340,542,428,
222,169,350,652,833,349,803,006,960,165,626,318,143,268,459,628,980,480,114,
613,459,853,251,089,382,457,025,385,495,676,647,835,755,802,473,159,971,981,
564,831,698,526,249,241,357,798,895,613,180,319,056,018,646,691,539,505,972,
318,370,001,584,949,343,889,750,373,880,019,160,189,956,921,396,827,877,060,
247,324,714,899,358,188,753,785,108,730,146,571,053,602,635,827,928,931,947,
379,110,333,810,205,712,488,023,409,301,018,637,439,712,617,084,342,819,557,
324,513,765,209,657,352,341,022,110,631,468,612,581,218,646,103,571,855,136,
789,348,125,077,988,807,705,365,888,525,910,104,342,871,341,799,586,487,651,
735,696,239,077,885,588,002,235,050,407,553,747,909,544,055,888,773,957,276,
382,782,782,084,333,280,845,355,054,908,210,080,583,305,912,540,585,776,816,
269,448,560,562,582,516,336,409,859,759,881,505,166,371,616,424,923,428,057,
188,991,610,895,080,419,235,513,709,979,819,791,851,984,881,067,803,986,525,
721,228,516,770,310,865,166,256,992,565,039,211,966,888,354,001,820,407,854,
406,500,021,290,289,749,571,002,845,131,167,241,999,370,815,944,210,733,677,
943,819,762,866,159,235,526,271,329,906,579,638,935,343,974,622,468,331,650,
962,378,243,249,311,718,404,075,758,982,086,013,345,030,338,028,397,756,117,
850,614,305,451,382,757,229,853,552,474,775,357,824,136,940,337,511,139,141,
304,340,657,169,773,254,271,084,731,009,443,007,455,603,339,535,094,774,075,
926,506,257,997,293,194,984,595,301,259,366,826,783,701,856,037,159,728,236,
398,083,786,337,942,223,777,547,365,891,560,001,222,889,620,861,486,967,702,
686,558,948,280,391,914,443,152,875,258,020,810,614,266,557,399,336,691,985,
320,988,440,880,565,858,081,643,263,677,965,452,908,836,620,745,779,645,806,
224,506,299,973,355,888,774,688,611,833,778,143,104,945,875,602,664,313,102,
552,313,912,759,892,237,724,123,761,144,879,653,607,481,824,633,455,630,122,
138,010,867,683,134,908,549,181,840,222,967,453,774,532,257,299,170,429,146,
632,435,118,171,738,863,256,638,006,244,880,990,989,470,986,041,059,529,340,
651,848,290,653,594,317,444,979,446,333,432,744,507,919,807,319,551,533,212,
555,558,186,156,096,678,578,769,347,399,468,897,422,698,925,352,521,864,426,
516,040,547,645,658,059,962,128,269,071,835,876,476,470,184,743,119,746,840,
260,378,141,647,427,670,257,467,861,724,291,183,147,925,704,289,466,082,068,
491,483,726,871,456,889,479,069,582,802,118,499,986,965,936,972,034,973,638,
861,562,822,876,130,944,870,114,987,443,616,467,819,528,743,249,104,664,691,
230,735,959,003,981,556,893,638,779,827,989,364,417,206,092,704,373,792,952,
311,286,041,564,862,467,272,619,636,422,345,562,646,296,103,232,743,432,959,
289,411,570,836,164,436,044,957,230,623,545,493,676,217,185,584,637,244,179,
996,882,326,774,115,371,831,265,407,304,811,739,158,123,593,951,286,987,728,
609,330,616,902,422,751,189,134,479,629,364,950,662,278,517,574,183,778,477,
936,291,268,794,062,534,039,042,314,926,308,701,451,799,853,903,977,792,841,
224,172,718,514,756,402,437,205,533,709,216,790,337,520,435,313,418,227,690,
574,635,412,320,616,738,505,406,298,964,189,472,968,593,037,572,741,946,782,
666,202,457,425,364,886,776,112,310,161,232,583,617,033,097,711,383,637,087,
953,195,664,004,815,960,874,017,074,782,795,796,374,350,913,874,993,144,440,
096,708,643,184,002,596,056,771,841,427,510,207,554,976,919,324,126,021,840,
795,739,088,359,942,410,436,546,584,875,340,212,828,953,204,457,898,790,450,
719,854,909,362,733,134,512,605,699,539,102,482,949,620,550,239,782,401,918,
069,218,547,578,898,308,926,925,354,586,935,657,981,151,133,379,214,456,202,
880,777,304,317,889,522,999,174,790,164,160,185,386,650,971,674,906,009,396,
100,166,583,061,628,943,668,192,348,816,435,953,087,432,667,147,124,695,332,
762,936,891,870,883,906,473,097,250,124,090,754,343,070,526,598,548,292,061,
455,390,423,670,962,336,790,864,346,724,799,512,682,496,522,717,022,709,931,
860,957,999,101,454,479,462,592,374,072,185,872,302,358,283,836,249,483,819,
305,845,803,318,651,246,185,329,431,901,737,020,488,441,981,050,071,514,880,
864,335,956,328,056,789,651,101,930,702,275,275,850,515,441,278,649,178,808,
338,333,157,274,519,520,363,566,771,789,831,467,721,695,858,835,133,502,558,
124,705,138,850,698,337,780,398,872,071,350,619,831,333,641,145,587,178,271,
814,229,378,750,275,080,929,319,114,370,521,199,171,891,638,093,465,920,062,
736,576,312,129,266,267,900,751,843,791,310,610,316,871,723,741,936,875,604,
940,305,809,348,982,332,004,730,697,868,286,634,500,199,408,695,330,803,610,
516,114,881,750,715,927,484,472,285,964,364,472,171,622,211,927,516,428,242,
111,831,183,939,641,833,471,159,379,459,484,666,225,124,644,579,816,354,058,
496,363,294,502,861,750,545,375,752,195,555,878,329,485,696,886,727,609,107,
754,397,087,241,431,109,131,250,948,578,143,366,733,215,613,026,419,142,131,
603,727,406,397,995,422,676,580,626,801,105,340,524,387,727,204,669,112,692,
006,547,716,130,140,812,363,673,820,652,382,597,654,036,691,998,139,408,408,
499,799,658,588,253,159,674,450,046,123,214,088,747,860,322,980,315,170,250,
165,162,688,650,698,242,506,980,240,907,994,124,645,663,562,193,845,384,308,
377,786,944,803,476,790,332,172,293,248,796,008,330,794,094,727,654,417,546,
538,906,433,645,181,720,488,486,003,265,299,315,145,355,935,589,771,020,687,
103,253,785,026,832,305,809,014,399,658,431,623,730,375,462,382,056,115,926,
565,166,371,733,826,466,693,599,215,172,936,852,741,516,442,944,557,200,287,
222,589,920,708,130,414,784,541,704,762,766,299,386,054,964,341,705,282,530,
456,460,970,036,529,291,266,494,077,019,981,948,631,198,651,073,766,804,732,
514,600,839,104,109,371,826,011,343,131,422,220,347,201,570,731,332,450,049,
324,293,406,603,871,546,867,384,744,603,850,638,324,644,585,309,405,600,843,
096,522,814,724,408,427,648,395,874,206,895,439,007,219,191,835,784,515,147,
833,671,501,710,910,733,168,294,688,517,580,909,178,430,098,210,807,583,094,
039,415,199,287,961,535,528,897,290,304,727,256,755,523,980,482,580,773,589,
750,820,916,411,042,444,138,089,621,113,474,497,932,019,718,149,294,214,595,
094,499,238,292,661,994,691,459,718,719,423,214,680,666,251,348,865,622,239,
789,910,642,790,607,530,224,074,007,934,223,255,737,926,905,081,130,922,300,
406,783,904,555,491,459,152,969,167,031,181,944,263,710,356,629,770,718,006,
047,428,099,961,034,131,973,453,977,778,422,500,489,812,546,648,278,277,383,
143,910,243,939,024,186,957,288,058,500,118,870,185,197,948,991,320,574,304,
858,448,142,558,618,778,783,627,183,017,300,928,162,310,465,493,517,872,561,
420,609,713,787,324,717,019,219,784,626,690,539,461,712,836,656,062,206,518,
551,138,305,682,449,643,819,070,943,856,917,459,904,086,102,678,332,838,509,
293,378,006,412,412,400,424,549,878,800,705,613,457,204,704,390,747,131,693,
849,409,103,085,844,425,754,790,471,297,300,595,580,453,946,044,509,557,239,
501,088,301,637,381,381,633,919,058,077,033,269,418,599,027,188,660,448,254,
877,426,593,646,597,059,276,948,311,648,323,867,331,424,988,378,196,486,222,
407,442,096,691,365,395,723,957,085,136,506,506,309,415,048,969,194,279,078,
139,133,555,227,449,968,960,831,568,334,666,056,443,475,842,501,391,974,282,
467,433,512,923,195,804,056,306,472,405,417,357,110,273,737,265,113,754,604,
148,185,097,699,259,012,795,786,108,071,100,770,189,749,029,346,305,865,013,
438,156,318,945,933,655,480,339,091,179,933,629,913,515,001,187,336,024,145,
163,451,167,479,840,886,105,644,556,100,174,082,121,234,145,014,197,991,723,
599,562,654,595,495,599,163,880,188,865,196,403,514,225,811,988,546,763,624,
299,797,981,180,312,851,839,568,103,167,014,513,040,737,457,921,546,810,738,
489,561,770,561,279,115,895,485,826,672,212,717,551,015,218,972,092,567,590,
696,983,046,564,610,358,444,233,871,630,647,392,586,682,963,130,612,938,873,
553,250,716,230,359,565,565,826,740,386,569,025,499,466,825,375,300,209,874,
402,484,118,281,064,418,079,642,667,982,975,617,968,495,459,414,264,329,719,
630,678,359,426,567,521,575,952,875,191,098,296,437,684,892,836,718,925,303,
576,535,595,089,502,602,746,862,453,347,893,362,397,483,116,552,416,817,677,
717,163,950,896,357,836,657,611,998,662,384,032,767,075,959,817,482,537,987,
616,376,720,071,429,992,777,347,071,293,917,693,020,563,186,640,771,346,623,
513,479,906,384,438,553,084,749,915,295,997,938,094,024,771,900,920,012,567,
629,462,668,588,945,316,145,049,931,368,005,672,394,939,779,245,090,859,769,
050,251,496,654,331,030,214,247,586,381,148,429,929,231,459,950,667,970,389,
635,662,412,854,887,284,192,709,073,033,465,193,105,144,426,324,649,337,540,
772,043,697,138,098,846,065,958,854,739,418,317,658,040,469,346,127,563,674,
384,286,248,500,490,447,045,081,973,086,972,482,532,288,337,567,712,612,069,
730,797,527,435,769,097,819,538,166,311,004,943,676,797,027,240,731,942,487,
346,466,850,034,538,712,485,978,883,786,233,956,133,339,465,773,470,564,837,
626,044,991,813,197,394,884,577,281,482,591,212,000,116,655,919,605,477,529,
909,498,547,662,150,711,064,890,447,224,537,154,827,879,567,445,831,193,941,
323,341,034,471,107,601,604,760,625,207,726,419,146,278,669,473,169,283,637,
697,757,478,941,709,751,001,052,936,166,631,591,745,363,165,491,700,987,786,
193,190,552,318,948,630,787,490,849,710,809,156,681,772,083,795,821,765,857,
008,627,957,655,715,367,809,616,838,446,855,219,244,558,205,416,050,509,916,
574,933,326,138,051,717,925,073,924,863,688,390,274,320,711,195,876,929,617,
478,745,546,371,883,000,515,317,313,829,493,430,998,231,095,128,796,805,761,
659,187,658,884,466,545,740,454,320,875,533,950,135,353,376,347,376,153,335,
662,194,536,123,952,166,283,567,515,558,851,621,556,717,423,089,473,165,032,
923,865,529,887,359,561,214,684,995,027,684,965,988,007,616,777,138,255,493,
196,588,783,395,584,815,247,842,335,335,751,986,911,620,695,705,645,811,819,
571,502,510,290,800,957,589,576,756,260,965,403,179,718,774,481,938,683,782,
017,806,221,719,157,981,855,678,314,743,905,820,790,533,997,552,036,362,910,
002,111,408,711,670,636,349,999,391,762,374,279,036,334,397,105,973,797,500,
749,900,800,123,565,708,188,139,434,220,631,064,802,042,087,751,284,448,183,
614,699,951,037,784,882,138,227,603,104,203,498,159,431,475,114,074,437,338,
596,763,850,510,712,014,169,856,884,177,244,457,455,299,347,613,770,218,539,
699,202,096,813,657,031,325,166,403,041,476,709,903,166,381,632,665,934,259,
904,291,353,203,912,412,690,246,141,609,400,354,638,820,232,670,446,983,094,
599,385,911,445,703,000,221,029,652,635,963,101,561,805,486,405,727,910,963,
139,837,193,507,234,371,877,708,610,625,063,204,904,317,452,083,540,571,812,
075,753,945,694,501,178,441,609,369,546,579,229,083,371,127,257,957,029,463,
866,008,549,207,861,807,947,823,651,565,910,945,169,647,136,654,027,273,423,
437,605,760,285,658,814,571,005,110,515,902,125,575,894,396,767,256,980,606,
894,478,348,172,213,276,205,991,473,087,885,231,765,823,366,419,806,941,328,
125,408,591,038,570,075,655,209,687,854,013,955,751,826,699,161,248,307,860,
261,557,422,189,472,371,556,651,354,916,997,263,021,938,170,933,696,255,877,
828,153,451,630,781,465,595,185,405,964,933,402,042,169,397,208,325,857,824,
736,762,910,538,414,025,034,050,718,263,502,366,716,824,175,448,898,973,983,
983,906,545,850,430,919,985,184,224,944,275,054,311,935,181,297,552,226,859,
622,266,895,343,180,255,055,385,687,255,721,891,851,461,598,942,276,238,517,
241,005,101,013,699,920,221,134,907,471,250,042,508,747,834,516,595,490,649,
582,733,726,835,510,875,844,555,963,724,793,578,669,583,267,213,112,152,722,
210,072,572,018,003,517,177,076,132,553,358,591,167,414,277,265,378,638,617,
576,747,834,366,772,988,742,235,804,495,563,996,408,835,166,812,812,182,205,
098,381,660,206,590,497,665,456,145,615,273,869,678,123,677,664,855,110,302,
640,290,994,740,870,067,174,716,229,123,258,488,208,330,985,052,764,016,286,
770,412,479,695,325,127,082,399,399,764,684,675,826,442,643,552,060,991,932,
374,533,051,144,372,570,545,429,870,012,229,358,822,380,729,719,704,811,909,
431,289,429,105,162,666,484,726,983,513,202,418,297,932,426,928,327,267,569,
602,743,671,769,354,320,133,447,216,733,705,573,613,006,687,188,526,877,757,
173,337,705,060,580,862,854,958,478,863,017,528,742,356,358,154,505,433,313,
478,855,698,406,059,367,026,832,593,847,619,617,439,142,167,652,513,050,101,
683,772,963,501,150,002,481,281,944,019,075,013,570,829,121,522,641,776,717,
636,984,062,386,636,028,882,469,908,129,615,638,603,470,137,476,872,062,002,
249,719,586,668,077,445,971,404,310,909,620,876,834,672,225,489,997,277,537,
954,696,570,241,876,731,078,535,496,618,752,490,231,718,685,710,276,348,484,
365,759,597,189,900,614,808,813,900,995,449,469,582,231,440,072,375,120,924,
034,735,903,332,158,062,676,700,560,464,004,623,272,527,656,151,102,069,006,
959,630,561,519,259,973,102,334,825,666,340,649,389,372,960,240,745,543,635,
473,560,467,154,798,235,626,006,868,560,451,621,838,126,898,067,586,236,568,
344,254,177,440,171,450,236,047,721,057,924,051,982,042,069,557,823,063,776,
187,535,587,713,243,160,751,128,612,951,828,179,706,461,878,133,682,280,692,
923,130,095,290,937,567,194,826,166,554,258,145,389,256,560,655,169,055,997,
379,812,652,427,054,842,476,840,382,473,081,222,712,564,770,636,755,175,739,
754,578,666,607,916,300,271,880,414,137,968,752,423,329,164,502,763,696,784,
259,056,512,351,956,032,591,188,366,378,200,015,246,539,148,492,534,667,449,
876,265,963,805,545,317,778,808,147,909,047,540,334,992,733,240,094,048,596,
426,656,539,617,834,716,726,593,919,945,072,992,932,692,304,619,991,074,964,
092,589,608,472,594,574,948,477,903,607,472,456,898,267,394,532,726,457,882,
505,864,856,850,687,377,555,825,829,280,363,427,316,278,736,492,057,748,310,
457,391,836,882,310,395,628,714,679,261,345,812,279,458,911,023,382,632,836,
909,316,627,550,423,293,974,832,321,106,133,939,067,057,608,924,948,017,355,
595,061,078,512,938,065,996,465,616,160,901,936,470,823,140,331,449,274,226,
584,100,294,747,224,540,737,742,910,008,619,437,668,464,365,790,029,463,506,
067,055,667,650,650,118,967,327,403,726,783,905,974,199,475,887,752,002,632,
960,435,138,250,899,460,084,410,161,104,039,211,004,831,598,199,123,004,961,
479,735,281,862,824,094,072,160,064,447,620,397,937,140,358,950,343,806,517,
800,507,189,011,858,864,464,916,805,133,895,962,025,118,502,614,175,699,419,
278,115,617,636,321,608,891,385,968,274,164,701,201,439,341,428,971,077,306,
418,532,911,178,473,065,915,421,091,531,802,395,533,256,301,886,899,853,732,
634,617,571,013,720,302,434,604,170,340,859,364,970,680,888,443,487,912,286,
680,226,948,530,110,919,066,216,819,929,403,862,162,648,067,052,488,089,271,
544,398,153,020,326,574,417,120,363,990,728,607,768,464,872,152,372,566,769,
811,082,961,628,998,833,512,969,375,675,650,488,863,495,043,752,494,135,881,
452,524,362,795,485,434,880,511,371,169,165,958,192,903,874,340,124,149,291,
059,077,432,429,295,579,055,925,459,358,013,414,007,475,044,386,038,006,629,
046,437,176,142,075,687,619,277,741,561,128,745,740,299,182,816,835,249,685,
327,216,366,438,482,354,867,764,214,731,445,206,596,975,661,376,028,796,143,
540,930,665,940,688,910,619,107,379,926,344,215,715,264,700,631,243,655,761,
738,537,208,801,043,187,348,518,646,652,043,888,977,095,164,988,323,865,125,
354,595,605,720,629,458,006,130,338,207,897,813,402,908,129,050,479,489,512,
605,784,780,097,357,496,779,981,282,860,644,136,473,212,427,203,943,963,831,
100,669,339,750,207,021,121,633,015,365,100,088,761,505,975,125,036,905,622,
014,897,377,878,427,334,212,685,128,128,093,810,378,166,872,680,822,527,817,
278,647,596,265,283,311,831,905,156,588,700,427,756,181,943,133,456,088,268,
828,571,962,976,611,947,415,192,006,862,461,751,617,750,808,504,606,873,986,
949,371,849,123,817,684,424,689,664,962,839,686,877,004,645,667,576,951,682,
074,337,771,124,718,701,317,304,491,757,686,737,827,325,671,767,455,774,800,
729,950,879,333,331,644,055,983,845,423,875,975,835,981,235,949,560,974,783,
053,799,287,060,278,551,093,660,820,469,696,782,144,744,908,817,884,818,732,
734,592,567,399,047,929,351,303,240,064,756,305,735,377,787,708,454,350,125,
959,507,701,438,444,055,435,255,706,561,075,737,511,286,522,172,224,308,288,
763,998,904,401,714,425,337,004,634,843,078,315,717,560,418,443,881,589,695,
429,721,729,475,851,795,668,107,176,757,683,223,868,388,363,867,197,194,038,
871,076,206,215,688,005,961,501,819,476,984,836,375,565,769,555,620,372,745,
214,768,537,809,251,344,123,050,766,079,882,993,313,499,887,348,993,148,432,
256,540,196,359,681,429,818,135,024,973,748,596,301,410,793,174,616,887,779,
829,369,701,667,258,585,428,466,676,851,761,252,118,603,006,578,367,595,584,
097,398,496,205,547,577,000,191,454,714,064,530,264,188,739,067,033,281,492,
785,689,063,751,926,171,185,668,344,516,760,399,491,307,993,249,887,974,635,
126,562,759,380,302,943,283,373,141,718,098,007,510,531,288,595,737,099,961,
087,489,005,095,786,542,862,672,504,243,183,685,172,529,146,835,285,079,365,
626,868,831,732,578,386,805,796,109,147,568,297,146,026,515,079,923,764,137,
777,380,597,730,236,068,176,172,912,308,569,460,677,062,621,849,356,314,159,
281,641,180,492,694,090,567,446,832,700,575,445,505,168,383,767,895,064,717,
794,776,859,560,248,540,932,211,822,963,866,699,171,350,581,453,927,121,477,
405,405,773,188,390,495,881,700,328,081,865,991,928,043,134,237,087,133,067,
788,743,242,948,977,187,844,007,506,968,252,392,087,868,637,279,096,270,505,
705,615,455,683,743,390,856,944,565,902,018,301,325,837,561,750,905,800,217,
322,609,432,551,491,175,010,814,971,204,831,915,632,330,390,266,286,352,202,
735,352,391,766,064,179,718,828,204,795,435,030,135,069,415,902,841,790,730,
332,382,392,772,561,812,433,256,547,493,812,828,309,371,148,569,246,067,293,
080,408,464,156,104,173,704,059,284,602,918,507,780,324,426,783,420,257,547,
402,202,700,040,494,177,038,401,776,359,269,051,409,075,767,403,018,527,914,
602,888,574,895,117,376,507,291,297,946,792,234,890,624,124,257,164,046,671,
625,262,778,326,652,151,056,030,290,041,445,469,379,023,539,330,390,849,080,
176,310,089,181,899,669,341,800,965,490,845,889,438,823,557,630,092,708,153,
425,967,598,040,188,758,344,264,853,666,616,959,032,330,565,764,211,695,339,
659,275,607,326,415,281,796,399,609,540,285,484,431,183,151,148,166,105,020,
953,568,478,111,422,508,747,167,494,665,727,182,837,955,344,925,707,242,396,
861,385,076,169,810,265,840,402,916,013,630,512,105,075,756,755,672,141,465,
871,664,793,324,506,459,537,021,754,457,567,280,016,795,973,028,276,431,072,
496,288,564,663,260,928,927,877,761,360,229,421,592,854,798,833,063,791,595,
702,556,281,626,835,014,958,642,759,086,441,414,434,149,937,910,478,191,901,
008,025,930,822,562,470,293,224,550,354,898,423,694,570,848,317,540,331,717,
645,179,096,858,147,910,007,058,046,924,831,886,673,204,403,846,863,836,207,
307,743,197,372,148,406,327,486,017,105,410,974,806,544,365,101,563,508,104,
180,477,606,689,708,962,594,025,738,667,973,709,509,276,920,489,509,236,177,
494,097,168,185,834,075,101,797,335,271,732,204,666,500,612,317,291,987,755,
031,420,142,014,209,979,264,540,558,581,779,112,692,822,260,907,116,150,746,
809,103,645,714,388,102,666,631,423,148,679,963,636,870,161,470,182,594,335,
064,323,792,066,778,346,277,906,363,091,807,149,676,626,674,234,854,539,624,
672,904,968,929,667,206,761,437,771,961,412,022,035,775,300,873,692,565,696,
511,138,338,619,579,002,002,504,608,752,378,588,397,735,052,311,988,834,870,
939,570,189,634,500,787,537,221,207,250,866,349,158,085,873,382,381,488,062,
044,077,843,188,897,207,093,173,497,819,416,400,021,614,122,030,626,976,598,
722,748,802,201,660,601,264,518,110,882,100,015,225,737,471,381,122,711,932,
743,065,181,316,127,917,921,288,845,212,442,232,316,502,644,747,312,141,831,
624,987,311,510,074,376,443,774,846,347,773,695,396,553,390,656,309,862,068,
745,352,677,489,388,069,705,071,097,098,432,368,025,651,201,347,289,156,891,
362,582,217,992,870,228,752,337,405,233,124,209,425,995,173,243,767,905,560,
386,923,938,718,741,632,981,545,566,672,817,049,729,979,740,558,992,627,565,
325,706,453,045,222,381,409,858,219,512,502,105,228,991,583,029,514,062,672,
434,460,078,321,898,269,999,355,387,090,295,941,458,748,206,548,304,427,571,
601,179,172,255,381,521,669,151,623,961,247,598,360,906,713,302,081,834,900,
027,832,545,405,868,533,085,993,440,868,247,969,010,541,579,355,922,989,925,
132,435,585,651,497,276,757,053,246,243,066,356,791,317,356,838,594,839,521,
142,024,490,935,636,313,001,795,971,038,538,692,599,532,176,822,176,419,628,
071,723,470,365,852,960,278,521,847,141,356,647,811,674,475,944,384,461,990,
809,621,666,678,024,583,272,555,199,309,859,464,085,826,018,286,804,240,953,
679,839,779,449,259,594,043,011,344,455,914,256,539,175,268,945,331,277,033,
160,411,951,503,225,679,740,035,400,898,263,371,690,614,154,584,308,417,911,
688,855,839,358,969,746,709,319,466,624,236,475,903,384,209,958,253,697,054,
816,775,657,284,222,484,920,220,449,738,794,926,628,468,607,653,784,998,683,
094,989,883,571,435,695,393,175,743,507,249,878,438,348,167,037,023,616,910,
208,544,872,649,358,731,858,322,478,208,088,448,121,648,425,507,570,325,921,
247,816,158,038,532,755,863,863,635,135,262,205,341,828,449,439,142,291,605,
519,433,645,245,138,085,277,031,488,891,035,895,426,705,957,486,388,569,327,
988,452,111,160,888,018,886,390,875,983,329,810,373,324,553,872,828,054,666,
134,142,266,752,116,968,834,029,157,314,181,214,321,961,784,228,095,124,980,
895,510,959,900,623,541,651,834,066,880,958,808,883,854,355,236,603,393,639,
124,598,993,788,809,006,024,184,670,595,884,049,637,044,872,383,192,092,066,
530,890,841,628,357,953,192,295,856,782,880,236,379,327,398,567,101,090,182,
105,561,180,913,740,806,084,524,855,173,446,432,013,323,052,180,563,731,827,
172,057,375,253,548,999,476,359,083,876,165,225,869,347,896,708,862,971,764,
673,758,075,845,759,856,118,176,985,388,215,775,364,035,554,473,210,253,366,
439,943,548,890,630,194,486,035,820,321,659,738,318,702,469,662,061,686,353,
865,724,215,607,830,346,298,965,972,801,722,458,809,898,764,062,129,779,241,
602,507,412,640,341,686,713,560,114,187,835,284,649,353,817,767,288,056,661,
597,894,154,785,453,488,483,936,806,330,524,299,636,739,859,922,640,845,932,
329,034,492,193,361,472,615,367,242,852,633,847,936,609,443,286,461,137,055,
826,780,594,736,389,272,422,452,518,983,394,395,117,443,900,620,454,741,044,
353,243,081,101,499,667,196,588,058,078,827,718,160,103,877,944,674,859,390,
570,818,325,329,872,501,776,860,917,822,664,179,533,795,008,459,112,106,403,
897,746,166,005,353,693,340,698,144,959,085,234,250,074,498,792,131,639,322,
392,012,620,181,521,180,030,979,310,321,537,666,002,758,380,762,545,740,419,
198,804,666,018,249,255,455,378,636,599,603,291,216,523,007,784,839,253,368,
820,417,269,724,775,239,729,276,170,145,466,948,482,697,332,845,872,606,082,
779,997,722,739,529,822,329,285,509,411,506,155,988,857,906,427,022,028,808,
238,232,693,896,067,612,758,190,744,901,186,656,034,562,299,964,622,610,581,
212,395,195,070,253,891,752,926,721,057,656,731,969,149,960,146,739,468,458,
095,243,777,702,677,870,210,582,923,152,752,177,472,433,311,319,562,619,827,
802,082,793,649,066,916,231,892,820,964,732,688,282,258,562,469,809,047,520,
015,218,702,628,529,930,483,300,249,883,737,041,136,191,846,128,035,694,657,
994,572,121,501,877,813,810,986,747,288,813,713,474,818,003,174,803,795,835,
938,623,936,160,557,885,081,175,529,319,595,543,537,450,665,421,170,317,231,
510,437,360,512,495,054,531,272,391,526,907,931,075,870,387,342,873,542,295,
061,710,518,182,891,874,130,034,097,468,418,068,644,118,897,047,678,610,550,
771,374,594,002,938,576,680,773,463,026,616,887,490,770,268,963,941,329,135,
082,530,253,368,932,809,403,395,374,543,646,259,923,053,941,203,733,680,356,
889,018,604,572,771,701,847,857,677,329,810,534,188,871,238,547,720,530,715,
081,211,530,437,926,543,067,575,511,448,936,489,303,326,537,171,302,158,101,
520,435,902,579,699,735,741,320,723,155,846,104,686,315,595,337,144,358,508,
727,687,182,988,857,126,452,611,277,790,734,654,784,843,580,743,745,232,921,
925,922,262,664,288,661,011,749,395,338,174,571,250,692,887,767,890,059,980,
650,438,334,797,961,592,660,328,401,601,452,250,135,439,591,235,380,600,930,
673,195,980,540,895,253,017,019,308,620,176,769,045,425,501,055,024,106,087,
137,840,232,563,851,019,951,968,193,828,081,198,628,103,311,940,937,023,598,
879,258,384,259,015,225,903,125,179,793,418,794,459,739,057,637,378,722,215,
784,010,907,943,623,600,913,411,181,247,666,733,387,326,985,586,715,123,566,
716,425,272,548,504,471,530,942,703,867,419,064,036,509,223,460,959,653,278,
402,986,964,901,700,586,157,267,141,134,703,536,471,480,902,265,839,611,864,
067,291,767,289,723,532,250,286,761,561,544,118,765,926,131,800,241,219,644,
237,355,062,269,599,897,731,017,991,915,559,428,050,367,229,109,536,666,243,
631,035,078,849,685,024,931,800,252,131,336,620,373,361,170,595,134,179,443,
464,454,663,972,045,255,628,589,885,538,079,989,485,964,127,789,260,091,411,
803,392,606,644,167,483,207,642,770,371,125,324,731,218,613,286,625,243,471,
165,897,626,305,336,306,014,459,034,412,671,859,662,587,589,098,029,748,774,
724,187,244,221,655,771,013,949,558,158,440,622,576,725,259,879,593,985,944,
237,316,146,537,578,404,218,991,089,431,988,950,309,960,556,578,844,582,256,
283,219,780,670,631,402,614,666,328,851,143,944,197,092,721,097,508,485,396,
431,765,830,653,971,359,378,360,891,105,920,342,895,934,090,049,797,900,048,
051,049,449,573,363,692,799,390,734,002,912,809,486,598,769,462,853,205,921,
995,296,690,631,422,017,044,649,418,514,473,259,921,053,373,475,646,909,729,
967,142,718,127,302,611,382,754,464,659,365,488,198,687,596,098,716,183,505,
051,746,739,164,893,935,584,742,236,491,393,091,078,926,904,157,756,930,368,
132,143,735,233,192,137,407,714,126,885,101,230,484,737,943,547,448,725,094,
261,030,361,255,968,490,248,259,160,588,100,624,969,503,613,995,899,025,890,
827,063,955,038,459,078,546,655,253,113,563,772,110,127,464,706,574,035,469,
158,393,957,024,942,953,368,706,171,252,312,632,360,430,731,975,630,394,795,
574,029,892,551,130,249,674,936,184,498,792,371,247,091,348,236,290,775,175,
470,148,463,263,651,977,434,948,982,217,369,866,407,497,986,539,570,125,035,
028,361,591,852,845,764,754,447,784,933,717,603,194,070,454,195,832,156,058,
597,668,567,426,412,739,328,316,572,982,546,605,252,219,619,767,676,065,844,
642,810,221,633,461,011,255,543,716,097,901,049,789,325,130,101,765,818,682,
850,872,885,146,833,834,668,373,484,034,771,993,142,746,863,351,482,899,354,
911,237,825,021,542,412,089,248,709,009,565,961,788,736,861,567,831,466,661,
624,908,575,332,945,409,993,617,661,009,301,324,884,731,701,997,989,137,973,
083,100,486,939,065,783,475,949,790,986,214,442,987,174,026,592,880,580,776,
412,553,129,792,021,019,940,113,420,438,629,612,999,762,829,689,534,057,608,
206,301,946,694,481,814,922,528,958,433,560,533,106,918,719,050,971,338,100,
929,773,708,114,228,479,995,172,560,753,959,796,125,272,046,840,881,834,672,
124,479,081,807,519,837,670,935,580,768,834,792,196,959,420,431,966,310,977,
402,322,210,774,615,242,793,515,546,321,686,213,196,075,269,602,337,406,474,
838,662,239,956,571,869,362,976,856,411,050,745,565,576,963,818,336,004,745,
980,577,853,163,311,595,907,293,072,947,131,818,285,622,312,104,662,782,556,
976,454,975,376,021,765,207,383,588,237,165,513,284,403,619,083,835,751,266,
706,578,219,257,114,756,071,632,315,417,088,466,934,902,103,021,699,226,332,
115,268,239,339,561,308,214,301,743,041,368,374,650,426,294,720,337,883,011,
766,065,105,561,718,247,436,888,095,569,640,967,413,644,995,470,961,159,413,
559,650,719,538,493,569,791,202,109,614,522,692,848,012,408,207,717,217,696,
029,347,018,178,505,110,521,253,985,920,509,660,634,767,628,586,491,376,508,
495,551,955,471,621,716,214,564,325,726,455,778,266,843,039,292,442,877,814,
981,322,187,218,581,770,359,433,928,497,127,200,204,587,195,710,807,402,656,
991,411,107,973,557,939,163,812,371,447,631,195,812,782,295,262,719,791,214,
179,914,993,830,569,227,044,501,119,697,140,010,489,724,999,868,834,053,067,
666,638,122,865,411,579,484,161,067,594,064,879,999,181,448,971,084,342,071,
248,725,066,441,319,322,881,645,247,670,092,069,273,405,583,630,662,096,013,
331,460,798,741,428,312,188,402,623,177,589,228,180,401,134,382,537,472,252,
212,029,973,404,001,383,625,695,818,211,651,210,117,893,055,658,801,699,920,
844,506,551,497,587,857,680,341,397,962,096,619,510,390,403,180,123,825,519,
482,705,093,803,839,394,348,448,763,206,854,550,537,926,395,461,091,332,031,
284,455,665,357,615,571,577,962,525,867,046,812,538,342,862,422,640,271,608,
339,774,174,976,662,430,920,853,908,334,027,517,884,005,713,255,547,665,211,
915,661,616,440,582,677,456,943,208,935,482,000,426,663,345,103,333,092,775,
004,036,503,808,017,485,513,254,755,907,212,227,923,034,923,537,435,552,065,
759,890,686,976,415,332,017,313,313,967,911,223,939,309,247,971,703,814,926,
467,534,665,152,938,255,653,988,704,147,831,808,391,618,869,169,445,835,327,
826,067,672,644,953,366,824,378,971,333,140,356,078,634,166,923,477,459,741,
703,737,138,420,141,540,193,434,170,917,426,476,970,917,454,360,134,096,790,
892,634,876,368,652,300,319,007,793,441,743,113,384,900,046,708,688,322,510,
506,498,459,763,684,678,440,858,717,865,697,752,579,427,631,633,371,151,224,
783,081,047,778,170,334,316,666,351,182,990,518,104,118,244,532,818,108,872,
893,558,726,705,202,111,497,320,726,656,872,258,214,751,851,379,935,847,756,
335,416,563,949,005,805,496,585,104,608,606,299,104,658,542,859,830,167,256,
914,102,819,557,089,099,004,971,994,172,564,069,264,142,708,521,781,372,201,
129,770,010,744,007,403,468,556,716,861,442,094,307,742,906,131,073,154,353,
669,462,945,367,002,013,271,621,009,336,508,883,751,661,307,726,279,186,064,
070,171,840,658,350,702,020,804,949,613,116,520,447,241,717,416,438,583,954,
396,751,732,799,915,327,399,144,994,495,376,623,726,851,845,512,873,579,422,
956,752,895,395,692,319,636,802,164,393,857,169,489,855,084,472,665,941,395,
937,974,681,862,847,857,042,904,104,958,506,666,005,589,814,533,428,861,651,
732,055,275,586,883,253,571,908,643,018,876,181,582,194,181,743,305,604,612,
742,840,148,601,423,571,038,089,683,255,048,179,927,043,335,252,753,440,497,
473,939,483,793,302,938,167,631,898,487,280,368,686,640,990,242,156,159,336,
109,097,032,117,545,004,990,275,014,888,303,956,194,533,091,140,356,260,595,
665,616,754,466,031,975,644,491,664,117,142,638,049,681,969,917,428,860,023,
366,591,117,144,685,095,190,610,734,529,807,543,154,924,163,697,337,850,494,
647,247,234,733,579,439,721,957,760,403,166,624,564,728,905,158,863,283,974,
506,340,656,116,745,229,873,413,631,202,100,319,489,788,320,081,898,537,803,
681,384,437,504,790,670,639,900,761,575,855,328,176,459,690,154,833,365,081,
550,671,333,243,497,900,499,412,675,152,895,337,376,970,681,828,188,002,502,
683,030,663,344,729,823,913,879,559,982,712,611,515,760,748,939,137,465,683,
141,756,614,014,737,417,670,673,709,869,885,135,522,519,034,748,319,342,304,
422,032,390,774,887,603,016,199,853,690,892,507,627,417,372,942,875,913,118,
242,106,333,115,508,913,712,711,119,730,766,544,085,686,282,692,805,630,562,
817,748,735,530,091,678,941,514,924,036,472,638,238,664,312,285,744,652,848,
435,605,142,860,553,928,523,796,305,058,686,879,369,901,182,252,575,436,483,
725,693,436,509,338,751,372,320,458,757,652,964,262,468,489,522,503,651,351,
228,361,538,092,396,312,094,759,759,512,535,086,236,633,899,788,175,928,873,
201,272,916,836,182,759,005,415,921,996,281,536,439,759,394,228,541,529,154,
357,164,799,022,972,265,214,669,476,924,926,204,596,167,165,575,229,416,445,
647,418,844,892,002,800,188,316,873,287,055,999,485,392,584,877,841,469,071,
396,282,196,585,168,815,762,879,592,155,950,186,894,302,525,075,785,536,345,
405,801,393,127,879,392,071,143,649,054,019,084,296,667,307,847,070,730,896,
366,103,193,476,401,910,875,303,455,910,328,587,334,046,709,563,213,534,372,
390,381,316,689,230,836,871,647,180,257,865,706,454,226,198,540,626,523,624,
466,605,079,503,808,211,041,345,663,527,900,749,548,155,738,057,152,662,688,
913,771,933,722,581,037,762,253,441,462,572,707,056,149,715,560,950,489,770,
671,847,963,210,119,339,911,619,696,262,403,670,767,501,331,805,559,151,761,
365,415,454,134,694,360,680,279,859,747,758,926,043,870,866,321,636,141,071,
356,071,504,863,284,969,570,437,192,578,395,068,961,210,101,291,039,573,225,
222,624,727,973,944,090,346,220,209,742,250,096,696,841,141,221,048,092,024,
672,875,930,440,306,541,688,642,991,324,467,456,492,893,858,709,386,598,416,
283,191,055,090,666,623,657,146,157,389,732,994,994,075,263,523,543,033,084,
009,716,762,357,634,070,739,601,708,253,662,127,641,817,717,810,806,052,931,
868,682,838,906,501,326,899,650,161,172,861,296,829,795,199,732,713,229,709,
138,745,733,237,572,727,707,084,408,825,216,628,474,166,731,963,649,663,613,
891,628,770,456,389,002,254,704,892,680,111,084,350,325,899,163,424,325,486,
788,334,103,765,976,518,936,306,447,940,015,284,561,747,086,399,677,229,294,
064,531,641,979,824,651,842,644,238,721,966,278,972,125,773,036,305,048,635,
733,627,667,779,430,634,692,230,430,683,668,196,468,942,798,192,754,192,513,
260,623,590,179,903,008,999,634,014,178,836,571,909,705,052,548,269,748,246,
723,392,741,892,477,245,193,118,761,096,381,387,254,337,683,697,971,852,964,
023,467,728,393,358,527,734,438,386,443,589,796,896,538,053,387,387,610,253,
123,758,300,355,485,733,558,378,812,797,240,783,336,153,588,852,673,924,071,
131,611,482,782,107,215,220,479,068,850,615,119,773,818,249,703,411,797,972,
801,926,576,440,165,214,498,336,176,942,739,436,053,021,500,476,077,404,122,
404,770,032,479,123,430,780,917,197,237,520,783,087,574,216,761,931,768,742,
678,749,464,600,864,599,079,708,247,873,750,290,014,388,283,311,190,717,084,
068,885,944,819,950,695,913,560,505,172,691,350,904,368,822,068,875,142,060,
058,761,627,864,475,172,219,808,127,027,460,297,890,362,328,389,457,293,688,
824,504,274,902,949,967,659,841,632,112,495,383,621,793,988,137,508,306,498,
269,080,270,790,947,404,562,534,839,405,040,586,239,955,918,011,615,259,906,
234,441,192,876,173,968,961,079,031,685,846,850,650,243,821,415,012,557,189,
213,069,935,242,962,689,493,299,015,774,083,831,984,196,460,839,202,292,467,
661,987,325,595,490,325,610,750,996,629,363,081,360,451,028,534,031,844,944,
201,258,164,552,070,381,300,417,676,291,461,027,246,213,840,857,552,640,073,
488,486,581,788,967,591,827,199,417,876,496,280,092,684,642,573,037,956,501,
954,424,960,762,433,366,711,812,333,315,064,655,847,387,991,470,708,445,889,
896,125,999,284,548,214,405,360,142,541,254,038,698,801,510,550,518,928,203,
290,361,731,284,112,713,353,922,494,307,831,199,066,010,349,505,529,399,002,
947,601,900,563,370,945,240,105,227,136,251,047,710,081,191,935,164,107,678,
333,676,286,688,441,887,345,646,904,047,712,450,054,248,334,950,092,264,611,
270,466,486,367,010,928,821,490,926,207,801,235,834,629,580,830,737,035,928,
407,791,631,773,337,971,946,560,636,015,676,348,127,281,097,486,741,414,386,
174,499,975,395,918,340,462,568,926,049,444,897,006,468,259,227,193,105,823,
888,949,086,216,078,798,509,216,695,670,426,343,745,496,172,081,994,774,794,
415,228,121,601,770,795,614,883,650,225,154,867,287,595,290,238,696,254,920,
946,879,405,012,119,037,436,371,395,101,884,057,729,847,780,108,072,767,353,
999,850,176,043,347,973,993,641,622,746,714,055,135,304,622,672,707,821,998,
158,071,929,693,337,648,787,809,990,827,218,536,818,840,648,411,465,667,192,
361,395,731,115,139,869,235,828,265,365,363,978,666,580,399,427,304,176,187,
562,428,642,186,167,724,769,291,347,844,378,054,234,887,735,583,033,383,739,
375,725,155,839,357,726,207,002,171,152,327,634,710,122,099,075,392,535,137,
953,404,064,936,306,697,619,164,994,131,380,230,269,683,193,630,064,006,143,
571,537,679,456,856,462,383,432,554,859,253,164,643,196,368,839,383,067,579,
418,778,969,547,535,239,645,000,255,619,870,838,176,388,776,746,512,165,794,
521,312,365,558,696,950,403,745,654,965,779,957,708,881,952,761,463,217,277,
558,513,700,532,644,462,819,374,531,647,100,347,419,957,773,535,668,512,147,
076,045,250,730,480,215,188,960,847,994,722,123,421,990,060,121,201,749,734,
716,987,149,214,713,223,251,718,566,258,519,488,144,750,517,617,542,551,728,
307,073,310,899,204,318,760,651,737,049,379,033,430,500,372,284,160,700,919,
294,709,554,934,495,355,295,725,293,897,160,139,484,406,393,702,012,387,202,
864,224,285,700,976,290,418,736,012,037,516,226,917,403,008,880,711,879,693,
892,405,461,172,443,902,966,413,749,918,915,043,035,157,125,615,508,362,571,
542,275,442,049,489,788,601,692,610,158,115,155,377,684,464,975,427,759,719,
890,788,373,760,852,519,639,329,870,765,046,974,892,632,270,636,557,864,414,
960,894,754,085,201,010,766,800,429,403,642,698,950,099,692,063,856,018,084,
573,231,027,848,471,109,772,645,819,531,454,871,634,407,739,435,110,530,303,
582,786,700,661,970,238,030,772,248,591,587,600,316,214,836,875,577,073,199,
379,927,090,674,927,306,705,246,745,569,643,570,733,642,821,008,680,408,838,
800,804,221,133,145,364,799,165,474,329,046,733,509,089,414,926,968,545,582,
357,976,753,299,995,892,464,108,528,797,532,378,181,720,830,061,152,354,636,
066,993,088,270,291,383,060,701,245,467,650,903,403,452,678,587,333,218,053,
938,794,888,551,012,076,647,611,558,078,770,637,307,587,519,026,843,211,393,
590,185,296,999,192,107,928,103,233,835,501,529,865,288,823,849,232,144,400,
546,369,130,542,656,543,870,465,552,847,665,850,473,037,619,690,594,967,805,
853,109,178,456,459,505,512,431,158,858,870,474,836,064,721,767,116,889,966,
472,997,649,141,860,811,706,648,512,377,864,627,691,414,176,244,892,646,189,
086,900,469,457,625,574,666,416,618,703,278,093,872,072,779,963,070,315,153,
458,120,833,355,577,492,474,482,448,615,249,938,390,243,386,989,852,094,508,
171,630,456,589,907,885,738,376,788,172,709,967,341,376,787,869,959,620,327,
888,166,686,641,455,582,407,229,986,442,317,464,490,701,002,389,629,192,188,
467,611,381,002,983,376,283,517,041,734,706,069,412,148,321,703,351,021,820,
800,826,153,876,732,047,664,320,816,057,085,059,049,595,887,651,491,607,942,
125,667,888,802,124,607,721,624,223,975,988,142,602,645,027,136,699,346,936,
577,499,734,454,623,731,883,559,149,529,777,279,273,167,603,967,045,671,571,
203,642,009,197,827,415,606,411,787,080,027,127,888,839,592,675,242,980,505,
337,736,133,314,684,732,705,067,882,551,685,626,566,613,840,056,782,453,397,
359,821,022,823,425,768,100,338,256,637,554,496,979,351,448,300,980,428,378,
275,152,496,739,240,576,412,210,958,354,740,021,357,585,895,251,216,149,135,
419,364,378,026,727,843,583,297,696,142,660,041,863,476,630,780,940,028,303,
569,966,968,973,686,241,033,194,605,090,652,938,557,969,013,921,275,222,015,
296,343,572,959,659,350,550,485,350,696,649,210,696,809,375,610,673,797,885,
651,981,569,607,753,741,930,220,942,400,219,138,212,952,364,150,988,996,331,
751,768,052,530,858,152,197,017,497,599,638,629,453,164,725,606,328,128,871,
882,570,048,831,039,384,610,362,504,188,221,155,435,061,265,173,637,151,443,
574,556,862,360,652,060,300,157,641,992,902,140,428,201,206,798,829,957,404,
486,228,574,731,605,661,273,032,703,858,257,667,626,250,706,130,424,933,792,
227,736,259,612,946,851,196,487,359,008,962,079,443,918,526,395,274,488,033,
136,831,977,527,192,500,678,530,730,837,624,523,298,237,719,707,371,037,201,
531,673,301,737,850,962,812,736,270,129,242,393,094,764,248,956,952,046,387,
721,144,681,026,089,913,164,014,326,297,534,510,535,797,437,723,239,973,698,
330,054,817,058,715,468,668,826,608,349,692,024,506,077,327,012,158,254,840,
244,931,882,128,578,165,962,044,490,713,860,100,223,312,963,679,534,646,935,
027,652,821,496,913,832,406,286,900,635,031,509,430,524,221,243,381,865,059,
736,816,264,270,711,725,102,688,435,331,963,046,564,284,537,807,522,082,691,
944,537,089,924,960,848,952,286,216,652,762,438,540,962,142,890,043,596,729,
336,415,041,975,481,757,089,158,163,649,908,661,839,895,038,852,606,736,439,
739,045,035,349,711,896,749,192,995,192,270,381,948,113,250,791,889,427,088,
196,491,075,005,027,772,705,260,209,766,561,937,362,135,742,550,188,559,283,
536,584,011,387,642,290,629,582,290,971,072,937,792,939,331,330,528,220,772,
281,935,631,175,542,291,026,830,671,478,642,274,453,883,631,493,846,504,752,
479,585,025,727,169,980,284,702,406,864,230,941,555,296,937,379,621,860,300,
000,655,840,700,900,630,173,555,655,594,730,294,882,253,416,207,674,718,934,
975,712,322,415,647,913,723,427,290,772,862,062,602,800,666,026,166,200,201,
528,484,323,923,869,652,642,325,037,859,940,400,293,648,391,290,205,728,204,
184,987,829,923,354,248,071,422,753,779,258,473,815,399,489,013,551,178,525,
334,064,548,772,776,615,552,849,722,164,351,125,984,169,886,050,122,526,920,
277,848,239,042,972,848,756,420,283,704,650,696,533,906,120,634,346,947,039,
061,339,704,646,194,500,237,522,038,840,816,748,543,002,727,630,360,893,549,
887,824,665,381,070,681,923,332,514,238,681,502,994,199,715,667,722,148,798,
125,300,815,704,969,687,894,835,824,934,080,631,959,548,962,646,152,975,056,
077,286,055,635,675,360,238,078,398,785,322,166,564,120,440,904,926,248,418,
004,497,693,307,626,175,729,457,843,836,091,472,456,463,930,379,044,799,506,
854,239,364,436,317,361,237,815,387,903,324,336,825,027,904,145,546,671,070,
849,370,510,500,012,587,692,610,922,621,361,538,441,906,651,271,947,601,657,
758,055,137,789,103,042,753,083,712,844,651,437,213,246,056,712,191,287,624,
029,897,229,593,770,855,420,175,876,451,178,311,337,925,728,520,873,974,670,
346,069,678,944,142,012,514,699,329,179,836,149,120,922,807,935,909,410,996,
123,268,074,956,736,936,992,305,854,957,380,010,799,732,218,135,860,055,876,
024,474,569,181,312,243,142,638,853,842,388,670,215,554,292,425,485,189,900,
663,135,538,023,983,971,110,301,741,232,934,175,261,198,165,299,451,321,967,
477,483,168,799,520,759,793,399,994,589,821,642,563,413,308,181,732,500,435,
554,593,907,818,790,890,608,573,597,306,669,973,868,136,794,758,175,985,200,
728,178,973,020,477,293,515,456,658,669,488,051,826,906,868,412,449,695,462,
666,998,336,876,238,230,336,554,706,051,304,847,946,236,642,042,126,940,801,
476,605,489,252,039,151,937,868,421,384,858,767,880,417,561,802,359,951,300,
165,882,866,977,581,421,165,818,571,950,716,918,249,768,465,482,418,231,861,
759,711,544,998,799,217,606,655,325,716,385,981,609,733,526,011,587,482,749,
367,615,419,343,836,677,751,303,024,531,944,470,722,468,618,506,116,908,685,
015,960,596,695,994,806,892,406,681,889,918,568,469,851,161,440,549,450,196,
225,033,607,944,109,973,581,419,434,484,076,156,954,840,525,644,639,652,680,
719,262,300,280,079,624,554,239,249,028,341,034,934,047,115,751,128,573,610,
565,006,036,058,933,379,847,795,950,933,485,581,837,819,940,276,983,151,382,
361,817,976,106,000,725,502,031,680,163,223,461,712,308,324,138,232,841,228,
594,645,638,589,156,559,619,983,372,862,502,345,557,389,257,174,126,718,931,
800,534,761,402,942,171,946,900,333,959,802,959,956,858,788,054,593,562,565,
026,571,341,763,478,504,452,163,172,512,496,032,621,199,527,724,055,371,037,
720,015,879,537,262,954,149,124,678,430,481,641,047,476,256,975,007,730,689,
517,725,907,066,802,801,529,046,337,335,242,240,346,242,803,019,126,056,915,
290,675,686,396,433,839,615,935,700,530,652,269,165,275,335,111,106,531,831,
843,576,247,807,100,666,776,489,926,056,516,054,518,244,997,690,866,278,364,
861,314,670,938,525,706,617,734,989,001,456,945,812,672,412,527,822,557,472,
493,821,712,693,287,027,173,579,202,637,705,110,691,178,831,519,960,682,963,
992,417,250,679,670,644,648,673,545,283,595,462,568,059,168,144,190,319,947,
642,934,089,140,707,534,780,966,643,414,795,120,305,733,685,780,520,420,988,
741,330,657,683,457,115,668,273,315,942,730,829,299,649,832,935,709,062,794,
697,787,756,053,933,800,624,560,207,136,768,511,024,783,936,052,352,866,414,
070,641,614,688,105,505,378,709,277,882,759,754,674,034,699,263,460,928,651,
337,044,904,230,373,110,743,193,067,733,447,780,137,874,382,281,155,157,112,
008,333,849,751,898,127,728,096,912,046,503,912,943,054,094,676,265,818,540,
094,162,506,308,470,852,703,546,678,052,627,587,780,976,544,220,736,744,310,
416,657,951,227,258,598,131,856,254,964,218,513,848,180,755,416,140,097,013,
096,666,030,505,111,083,914,158,505,986,241,433,435,559,884,996,286,537,933,
171,150,932,921,806,526,106,448,625,466,725,121,990,193,938,746,550,374,252,
497,277,566,031,980,447,759,956,174,205,432,647,746,913,794,008,734,187,392,
467,630,705,547,789,606,858,563,157,216,556,339,570,556,260,685,211,394,288,
054,992,715,603,563,481,238,757,706,614,380,470,009,923,330,928,443,232,928,
682,781,862,230,552,135,562,100,542,886,699,432,375,618,293,334,842,944,024,
686,876,156,923,376,231,477,529,884,537,467,499,846,667,647,520,915,265,218,
488,963,358,832,411,242,929,206,772,917,216,826,771,082,679,237,843,448,400,
008,265,830,146,718,206,821,106,642,991,805,898,839,017,397,673,138,538,142,
929,888,905,058,691,236,034,177,295,549,062,001,732,007,375,937,041,598,482,
164,071,127,445,256,388,569,280,411,357,451,389,087,100,529,147,382,921,543,
750,915,896,326,704,553,767,270,949,889,009,835,993,506,827,730,158,410,788,
121,248,950,391,850,484,258,483,029,996,793,195,202,110,490,383,047,150,511,
220,667,080,743,774,389,922,837,652,450,362,636,838,614,766,235,584,695,869,
698,855,051,464,722,107,064,175,177,655,731,503,700,885,721,143,135,227,349,
446,451,408,770,675,063,421,700,908,629,907,768,771,561,372,345,174,528,458,
367,808,104,248,372,241,705,765,357,940,647,057,111,475,943,611,486,788,957,
282,447,586,920,415,881,121,770,845,402,305,198,165,363,301,966,875,513,070,
364,295,755,244,588,686,666,383,593,226,865,091,020,635,655,707,309,516,347,
414,926,386,086,553,662,112,919,857,584,087,174,535,126,639,773,842,935,887,
114,745,241,446,606,081,405,798,900,354,489,901,892,278,091,614,141,237,094,
377,169,148,886,261,857,989,134,192,191,253,607,189,759,858,136,467,084,440,
844,443,323,409,085,582,161,835,198,438,524,966,035,318,414,794,886,758,995,
783,383,781,979,250,876,245,633,107,760,679,985,461,143,969,479,827,744,142,
542,970,059,350,516,627,580,277,089,060,036,177,676,233,979,980,820,912,910,
763,875,454,410,587,790,894,155,214,596,731,889,977,731,905,333,196,368,282,
128,247,344,696,688,258,526,759,615,499,203,269,847,643,978,544,802,336,125,
830,194,250,851,788,001,277,241,572,030,633,124,698,168,198,894,282,504,312,
746,717,894,381,991,203,713,677,236,706,163,124,935,190,364,013,993,735,707,
299,541,927,547,402,833,244,511,178,088,224,820,493,192,739,720,073,837,025,
797,746,264,245,631,792,449,852,272,671,726,948,934,116,621,254,041,632,628,
029,141,859,601,837,718,868,897,849,529,973,493,110,818,567,661,500,252,417,
342,621,323,517,297,646,250,554,348,144,074,975,999,507,410,122,739,570,454,
677,517,089,493,323,238,876,622,448,290,028,699,220,998,400,838,058,682,108,
873,257,915,900,026,263,398,679,259,353,280,937,040,673,579,150,057,709,908,
102,880,938,477,691,701,556,848,673,010,777,967,332,670,666,267,408,721,116,
323,988,703,016,490,697,423,711,044,450,222,097,626,266,078,371,916,145,926,
734,953,206,865,484,731,303,042,800,679,215,830,458,414,944,905,723,771,948,
088,070,138,401,402,026,702,365,189,444,227,323,104,321,867,291,772,373,450,
363,736,066,216,867,550,864,687,244,039,074,836,432,021,328,797,627,431,484,
438,656,519,638,719,351,528,825,422,102,920,723,351,229,476,893,720,891,983,
695,284,852,289,989,324,134,093,863,644,710,945,871,210,193,593,169,773,533,
078,366,974,964,139,250,022,809,859,562,462,672,727,625,148,430,338,264,850,
156,233,753,179,389,224,111,507,602,052,662,149,592,163,697,266,692,069,310,
006,701,470,019,721,499,279,405,540,913,846,615,952,330,987,011,557,226,334,
814,653,209,559,834,840,699,287,770,644,003,239,543,520,860,082,665,102,809,
324,614,404,748,080,585,896,947,043,717,158,483,978,523,323,365,551,075,783,
879,522,507,799,192,188,145,703,964,121,879,280,684,667,329,467,703,828,338,
748,631,912,053,733,921,602,824,847,411,152,888,795,300,856,830,954,997,607,
857,956,715,172,684,735,496,893,742,405,096,078,886,684,870,144,201,927,060,
450,262,671,837,953,468,974,747,294,390,533,666,945,103,558,266,492,498,653,
070,447,027,640,358,944,597,844,334,968,763,588,866,532,385,548,822,071,010,
665,632,889,726,242,798,611,645,018,410,526,197,014,471,696,534,901,708,713,
418,150,216,191,447,543,864,401,073,614,116,482,258,574,667,756,012,973,027,
248,952,392,305,104,734,499,866,620,505,867,367,263,185,797,508,198,679,811,
055,132,716,369,853,127,458,446,327,992,504,771,998,757,673,554,510,922,657,
920,571,494,680,381,141,047,100,639,138,711,408,125,632,324,370,017,167,671,
378,253,870,050,864,705,606,433,168,324,750,040,851,712,307,503,620,322,084,
232,748,853,674,227,634,724,368,723,496,002,838,700,364,065,434,514,622,481,
618,773,659,390,353,951,672,129,771,272,004,841,680,461,348,038,365,190,924,
932,839,330,268,770,281,621,338,584,385,326,734,545,596,451,899,790,886,465,
219,960,247,232,057,654,245,301,649,784,784,309,557,791,583,381,503,086,969,
516,007,578,564,221,063,469,114,254,243,751,995,699,658,021,500,292,918,152,
852,492,765,993,496,270,151,275,953,345,429,619,509,722,482,702,416,623,232,
828,661,580,087,127,164,247,549,999,249,882,587,247,807,511,391,017,129,858,
591,906,088,792,513,367,184,061,210,832,560,895,593,207,544,164,390,173,031,
380,781,909,265,272,035,177,602,593,508,644,881,575,138,314,887,816,867,918,
813,459,601,338,985,873,143,070,054,905,381,730,936,415,813,430,250,926,835,
010,297,021,433,969,678,548,546,833,431,614,603,983,492,584,214,821,831,203,
489,795,579,187,792,762,220,787,480,586,660,148,241,789,014,327,132,523,520,
185,567,290,860,977,415,642,478,582,564,578,843,934,680,992,782,960,590,051,
683,086,432,276,426,168,063,772,076,572,215,307,337,422,659,289,292,009,272,
454,831,731,842,022,256,354,768,430,132,448,223,817,097,168,016,615,543,299,
248,578,295,774,559,303,221,006,433,397,548,375,023,100,762,402,702,768,024,
340,091,761,553,152,242,871,202,397,781,203,638,888,204,505,466,134,139,537,
916,782,882,612,528,819,650,230,913,426,858,985,911,998,797,246,841,750,565,
486,088,750,066,566,651,670,445,381,198,923,555,187,109,646,137,588,980,070,
226,259,865,411,759,911,461,804,947,715,504,717,825,317,160,924,798,729,006,
461,231,232,876,236,433,796,135,465,929,182,112,458,967,942,083,093,524,377,
944,460,326,747,725,154,645,029,515,240,530,137,937,551,443,690,568,391,122,
422,145,583,587,683,869,192,126,037,093,340,832,070,950,222,369,983,232,108,
343,601,277,207,923,524,179,984,740,752,877,246,228,088,346,961,435,588,792,
291,641,996,000,998,361,050,969,293,446,142,628,125,099,402,570,669,300,583,
273,812,448,913,004,829,220,279,117,895,374,117,503,172,248,190,165,064,954,
081,308,313,534,694,071,576,830,973,690,457,595,332,797,869,542,534,368,553,
312,582,474,050,835,328,466,465,519,189,488,285,910,613,908,934,072,083,488,
285,946,692,809,088,496,731,532,444,763,502,274,644,775,895,859,391,795,396,
069,032,622,653,453,979,018,776,310,452,979,456,885,435,964,765,875,757,098,
031,380,823,291,022,139,057,624,354,644,585,388,879,768,420,076,647,413,930,
807,785,117,912,874,638,134,271,352,468,485,855,471,829,497,725,201,706,352,
277,807,850,953,960,528,893,526,263,491,049,122,525,221,592,809,374,612,631,
695,870,863,002,272,055,013,905,454,987,277,645,073,336,115,860,938,333,294,
877,690,788,280,041,602,383,548,362,000,774,957,846,235,991,780,080,988,332,
614,239,246,698,044,524,793,634,066,599,087,285,158,070,681,759,330,710,312,
923,551,222,755,540,267,046,507,384,713,438,611,480,724,335,481,310,507,206,
468,926,499,117,359,095,827,533,908,741,838,679,547,015,116,608,747,751,455,
641,559,032,160,425,992,450,741,070,448,195,082,198,846,491,270,423,568,584,
570,463,124,089,541,149,076,155,682,995,575,701,248,714,208,971,660,476,011,
079,070,826,297,843,243,799,520,231,005,557,108,532,152,106,174,506,322,057,
329,466,914,295,093,330,371,314,932,192,608,407,935,065,536,811,893,651,402,
135,393,345,650,302,318,441,189,752,428,483,836,976,464,159,924,937,625,245,
128,341,168,044,978,645,039,665,937,562,535,296,668,727,350,204,570,219,474,
564,048,755,678,929,748,218,541,643,733,846,181,389,025,976,806,902,895,759,
241,369,812,147,250,442,023,493,794,258,949,089,834,355,300,474,248,413,796,
252,972,534,926,574,180,540,796,766,994,577,507,146,073,740,510,216,801,696,
080,519,820,624,332,110,954,940,405,097,181,444,053,612,580,769,013,635,627,
621,463,359,077,903,599,719,961,875,636,708,196,974,519,937,400,471,651,848,
313,931,120,331,777,779,371,836,995,717,537,970,047,027,528,172,374,041,175,
334,281,203,754,858,155,126,699,896,972,902,673,212,337,413,993,530,439,556,
227,810,693,913,702,041,563,215,824,505,483,918,558,629,667,481,212,374,152,
436,232,511,748,863,421,545,571,975,568,567,485,439,056,630,985,739,399,968,
273,156,978,977,370,555,111,960,339,576,735,083,160,430,020,480,669,761,881,
730,367,318,883,235,454,667,326,993,944,378,884,484,737,062,646,453,867,401,
526,255,649,333,830,188,573,353,309,784,808,549,391,416,587,677,129,456,482,
423,368,630,154,806,808,341,292,754,913,560,177,942,859,997,551,182,424,236,
275,869,393,559,142,492,484,783,050,527,732,707,739,969,674,148,819,793,849,
472,063,641,265,240,407,494,891,782,750,999,562,933,852,785,320,696,046,464,
870,228,069,958,888,103,209,165,027,056,552,007,519,912,349,304,517,232,428,
161,136,349,642,178,045,975,219,744,257,312,003,760,267,125,404,299,003,346,
047,987,138,993,045,448,347,413,194,103,981,303,515,434,429,508,999,857,037,
557,346,597,289,714,842,091,052,553,517,619,120,744,312,865,789,666,583,914,
058,820,999,226,841,320,640,830,439,374,894,046,106,364,689,404,300,788,997,
419,400,329,154,922,048,049,189,609,303,535,665,257,568,801,200,570,559,351,
206,883,612,287,449,179,159,712,470,825,480,404,111,012,283,603,357,167,812,
537,863,813,861,180,439,905,037,502,290,561,138,177,443,320,773,060,522,660,
244,182,408,280,942,889,004,997,548,089,059,680,051,710,106,135,175,584,542,
751,528,249,223,534,612,662,746,423,598,492,464,738,617,786,888,694,589,594,
299,888,857,168,393,146,516,340,617,885,696,159,450,605,237,090,978,639,132,
969,296,195,721,853,084,131,969,763,822,371,461,916,250,814,567,415,712,575,
840,012,022,187,945,225,281,851,681,179,274,024,354,044,290,033,284,629,536,
275,907,214,368,727,249,412,425,430,231,756,025,246,071,004,027,025,956,460,
401,634,514,123,203,597,299,862,185,229,051,342,853,010,915,876,232,335,088,
542,150,001,164,242,224,650,815,836,776,339,729,452,163,002,603,915,614,568,
306,246,334,222,675,137,464,478,419,658,465,102,014,348,851,554,683,531,640,
417,797,884,725,277,790,869,723,155,421,288,995,311,126,245,319,988,907,502,
247,210,308,863,036,175,904,429,959,380,116,448,370,142,615,764,472,901,044,
296,468,779,856,041,236,834,142,907,622,529,851,096,968,301,483,311,076,576,
014,160,587,684,544,515,897,913,109,239,863,270,981,874,445,735,393,193,823,
164,287,374,489,120,393,451,746,760,556,976,464,166,841,131,665,760,532,977,
897,586,566,508,530,549,037,640,282,231,536,241,311,796,449,965,740,578,188,
416,735,883,107,346,138,743,276,685,736,390,246,719,407,567,672,230,615,784,
139,059,446,370,516,470,781,887,826,382,279,591,738,266,202,253,312,569,577,
745,778,512,067,264,787,040,919,801,211,906,881,711,844,797,398,005,142,586,
191,739,215,496,722,016,762,772,498,076,723,847,586,496,248,199,738,859,852,
372,900,542,284,216,384,270,607,666,843,268,810,212,164,263,662,130,507,233,
115,303,318,322,847,630,561,150,771,971,947,252,022,284,171,264,202,719,523,
587,255,158,979,378,987,205,174,370,726,181,637,734,077,412,447,614,908,782,
202,649,429,097,623,582,902,247,712,605,740,916,569,137,288,106,005,982,408,
046,856,449,741,292,242,573,636,145,509,885,032,348,894,080,577,592,631,539,
205,714,449,387,409,386,029,964,400,087,117,296,420,615,387,231,166,860,914,
563,584,881,532,164,380,687,774,885,563,885,515,733,169,605,342,276,191,695,
298,249,273,364,183,290,763,005,078,706,241,666,013,505,028,562,641,791,669,
626,904,619,885,073,924,123,468,751,723,698,719,560,523,976,003,193,110,409,
569,085,231,371,660,356,488,040,300,382,390,718,025,305,160,505,294,195,761,
618,767,057,732,589,706,888,705,747,372,952,926,308,512,203,703,965,380,535,
444,658,771,052,415,349,694,726,765,786,105,355,734,425,831,471,136,591,889,
220,045,521,120,775,119,101,588,619,384,147,226,648,165,587,069,074,681,960,
030,105,615,258,019,388,505,742,197,847,298,501,351,319,859,870,075,862,192,
123,640,540,941,143,623,074,907,626,841,423,113,654,851,277,729,917,743,350,
868,230,109,290,528,965,971,350,330,199,823,623,854,218,153,067,567,461,674,
273,660,678,077,822,956,243,878,043,797,793,906,629,305,308,170,468,328,510,
794,864,128,690,511,323,155,721,581,123,015,668,956,472,017,824,129,519,497,
925,588,044,439,372,851,734,822,091,498,884,387,004,331,489,371,189,996,626,
769,392,060,594,176,195,503,844,592,165,498,619,389,587,622,360,259,608,613,
693,394,796,594,401,134,365,735,818,267,558,147,959,511,978,305,508,697,094,
868,773,072,258,099,084,778,745,974,930,890,882,989,137,683,795,550,339,055,
563,608,317,295,338,247,533,298,030,616,939,939,070,469,307,813,131,058,453,
707,087,630,352,218,567,193,367,021,651,175,403,559,797,460,445,916,508,098,
987,530,521,218,737,083,875,702,930,377,870,395,844,394,715,684,172,024,818,
304,686,510,022,717,286,677,394,433,443,034,913,589,381,336,262,489,825,099,
203,072,288,271,005,875,333,704,348,638,597,908,913,077,978,046,250,702,230,
568,013,313,740,286,947,123,935,168,879,473,832,303,315,193,506,707,378,809,
089,199,073,537,475,899,803,605,727,705,853,349,216,008,709,006,558,397,596,
234,913,677,731,331,088,137,240,385,511,620,599,260,270,708,608,759,936,407,
555,529,838,281,114,740,882,227,149,956,848,060,853,285,967,764,994,920,414,
100,182,490,490,583,945,053,641,334,444,014,915,036,730,732,958,947,300,065,
638,051,779,471,628,469,844,074,211,074,988,718,896,688,875,938,682,898,893,
285,108,087,337,367,828,192,426,630,636,112,550,827,844,891,925,414,751,335,
495,064,403,442,783,393,286,456,125,567,027,863,308,070,623,354,585,921,749,
417,388,670,733,303,204,046,275,874,447,230,721,104,075,020,459,535,761,089,
775,928,852,946,013,627,855,426,031,927,495,529,201,198,384,750,636,602,125,
255,478,944,976,231,638,260,036,659,064,965,510,061,306,341,825,027,505,357,
163,253,892,301,994,935,807,420,956,242,359,942,297,354,990,214,296,938,940,
458,261,211,653,235,128,874,635,595,417,642,635,852,768,567,277,489,948,049,
327,618,495,088,530,506,792,970,974,809,756,063,592,208,571,703,130,685,395,
215,325,774,526,317,651,078,815,435,461,519,445,827,285,673,002,904,698,454,
171,047,228,417,358,386,341,290,703,390,069,165,476,006,520,976,591,954,674,
314,996,496,324,944,346,093,517,245,172,912,549,602,681,856,802,953,792,044,
594,598,321,163,382,835,706,187,340,655,186,833,939,427,108,137,607,470,869,
538,646,142,672,940,305,315,270,811,241,892,081,633,753,033,457,367,941,809,
748,487,539,953,437,924,090,232,843,128,136,655,069,577,012,425,491,847,974,
120,941,245,370,990,371,201,195,381,396,279,465,463,033,736,670,287,362,559,
770,892,582,778,190,673,800,739,492,441,403,488,744,394,525,057,645,898,429,
701,134,337,638,520,934,675,368,365,419,116,786,252,569,099,478,250,752,023,
854,331,123,670,283,132,708,499,656,576,595,547,013,436,620,287,366,489,000,
989,923,960,978,345,995,091,713,657,090,368,169,708,923,497,441,191,296,499,
048,770,667,284,615,599,409,942,553,503,005,569,209,357,495,068,400,063,953,
597,105,932,416,216,087,114,938,394,923,567,510,856,319,490,840,824,482,021,
321,628,817,750,733,083,631,474,168,488,409,956,710,803,063,896,426,847,843,
706,075,784,305,885,703,552,847,255,511,500,479,519,338,558,850,057,905,210,
464,059,905,712,238,226,096,095,767,345,439,621,666,062,131,156,143,340,689,
662,633,435,334,915,778,846,024,419,275,930,295,534,793,870,697,827,109,839,
972,093,484,906,111,499,598,867,381,320,218,614,203,035,965,085,912,094,500,
135,525,847,641,502,798,023,757,288,429,544,919,410,977,167,165,975,029,273,
237,669,812,179,032,346,460,487,418,903,422,200,268,019,283,722,969,081,091,
730,813,921,733,269,490,906,962,439,497,991,445,621,634,654,155,906,524,230,
589,965,033,542,572,871,425,826,044,411,436,573,389,467,533,857,409,914,504,
685,666,919,545,246,829,455,019,820,668,689,615,454,295,049,059,549,885,967,
057,914,557,400,474,386,643,241,278,535,358,168,417,608,905,051,989,428,633,
702,016,199,784,693,215,056,631,718,199,124,565,597,697,144,297,985,846,800,
112,712,591,090,071,666,669,155,201,923,565,955,534,128,908,854,895,753,337,
772,048,992,607,133,474,023,044,012,090,645,561,948,122,396,694,502,323,290,
226,146,792,381,215,771,618,665,581,270,472,672,127,863,170,694,423,152,710,
563,218,709,494,081,674,895,601,191,608,599,833,916,521,870,481,507,747,503,
872,610,363,263,170,963,112,689,729,254,826,221,657,788,040,202,311,337,005,
901,212,475,389,568,260,506,206,297,538,217,059,057,044,110,575,912,679,054,
801,574,204,602,143,380,285,478,488,380,090,119,849,145,054,626,413,744,526,
964,076,867,944,208,075,161,285,085,880,421,788,769,714,950,971,470,506,654,
379,224,580,285,691,278,781,422,165,282,812,436,189,773,799,870,076,338,124,
395,366,016,944,931,087,412,554,080,383,015,696,811,443,325,780,293,622,860,
327,289,624,166,496,512,366,892,805,405,204,776,237,949,194,360,885,332,098,
083,329,186,295,276,747,550,644,285,783,872,029,572,323,258,087,010,025,392,
802,653,549,393,490,811,191,430,588,064,677,012,632,977,466,635,367,184,519,
783,315,912,160,779,985,870,192,442,573,012,710,984,965,490,932,706,468,617,
612,180,031,337,959,748,688,147,259,300,548,796,128,065,225,795,075,264,130,
626,553,176,298,257,328,046,961,976,943,018,271,852,008,775,397,436,893,074,
583,552,417,234,931,115,823,072,635,006,310,107,919,622,249,932,694,533,791,
731,606,891,408,923,538,211,920,733,840,112,766,941,922,288,327,444,362,775,
814,302,575,119,010,959,668,575,359,916,401,364,672,066,919,781,796,451,499,
289,177,141,255,390,101,109,647,365,695,134,812,937,998,334,102,129,315,355,
918,263,091,456,955,256,328,209,774,199,915,335,112,445,066,590,834,013,819,
858,167,503,659,945,736,872,818,243,491,661,806,985,506,021,050,710,052,381,
227,593,506,177,983,023,938,791,179,446,049,499,906,254,852,905,667,455,612,
030,272,306,054,509,885,390,760,000,942,193,006,214,045,719,955,402,538,831,
606,430,995,325,996,653,532,412,531,263,289,163,646,545,421,987,208,902,310,
022,375,614,623,924,322,705,031,944,902,904,272,167,700,554,215,247,423,615,
482,237,499,623,564,063,134,942,796,513,819,561,791,454,186,969,489,133,382,
679,467,459,636,335,453,036,587,983,240,592,847,926,981,458,395,159,541,389,
676,852,804,335,482,858,206,026,932,987,037,248,336,567,323,453,023,440,869,
531,555,370,996,680,939,206,093,832,388,876,603,669,021,043,808,282,655,500,
824,803,624,416,854,913,611,332,964,810,213,544,952,738,517,408,456,178,342,
143,289,306,617,494,590,634,157,656,965,491,687,618,152,793,454,486,931,607,
543,516,060,768,529,640,835,349,878,968,292,115,570,975,471,007,003,920,622,
995,559,551,879,389,786,604,729,000,845,833,879,483,812,185,861,990,047,101,
849,546,370,108,952,013,838,122,501,844,962,566,691,072,506,587,378,256,368,
275,322,749,893,101,051,084,693,174,890,235,940,292,115,595,912,285,491,280,
967,175,204,302,753,409,324,318,851,771,398,484,542,421,945,942,702,245,041,
861,836,101,319,657,161,895,462,691,216,250,426,699,056,361,216,399,844,266,
392,477,337,669,507,267,382,039,306,481,819,380,715,727,686,739,772,994,754,
104,233,843,306,633,164,935,469,932,115,643,341,038,993,120,497,235,630,270,
154,568,723,171,264,730,471,890,406,280,367,059,269,396,383,537,903,609,497,
831,295,916,030,057,751,481,962,708,501,539,220,805,416,966,369,052,191,058,
143,726,075,394,205,363,906,688,841,206,579,234,770,323,124,853,911,168,359,
330,909,536,196,529,236,276,264,773,359,334,064,458,958,020,970,066,686,282,
615,256,941,877,984,748,409,111,272,549,839,330,438,899,462,946,498,110,548,
332,401,458,266,791,679,129,799,658,028,284,930,542,990,206,781,903,709,389,
995,161,139,981,393,298,487,283,163,891,813,912,996,010,068,434,100,069,034,
130,288,390,697,863,778,543,906,231,731,709,107,732,893,502,784,296,551,908,
932,668,483,012,563,899,310,806,375,169,304,551,488,281,640,796,479,067,496,
894,323,582,058,488,210,337,592,952,157,372,527,766,597,806,243,233,900,276,
590,992,430,479,662,908,487,946,408,713,821,824,817,864,012,594,228,491,208,
280,039,790,449,991,967,677,008,348,784,369,134,487,031,834,901,443,641,618,
339,813,242,858,469,447,609,783,891,219,978,202,942,072,305,288,018,908,069,
990,842,883,074,446,210,473,753,355,837,671,609,063,075,191,844,534,638,184,
848,837,940,406,347,632,225,822,440,193,277,822,012,496,441,085,761,869,540,
909,815,450,565,841,551,176,695,239,074,955,986,749,588,660,714,067,790,382,
150,302,479,217,408,658,467,655,902,145,553,339,821,940,977,529,444,357,024,
511,372,986,998,701,493,824,754,913,406,357,965,787,485,140,474,493,866,293,
140,051,241,832,249,151,075,203,860,533,116,111,985,605,170,983,568,314,576,
449,946,022,328,413,917,187,298,524,587,926,614,688,055,122,669,423,884,889,
823,377,101,825,756,184,553,925,319,399,161,842,249,028,777,317,310,872,763,
867,793,585,585,990,335,083,332,502,928,017,060,168,440,099,954,036,367,198,
580,232,650,714,554,669,195,221,761,026,185,059,190,067,327,468,671,124,642,
030,938,522,945,914,555,576,949,935,872,844,401,949,882,772,625,361,769,296,
021,550,287,561,172,779,431,663,970,415,641,716,399,102,637,568,026,262,274,
215,569,581,840,691,519,358,442,636,348,755,269,237,910,207,082,454,158,031,
829,721,359,941,726,954,104,974,019,568,403,031,139,254,011,729,971,667,870,
343,132,136,584,806,310,873,536,641,207,348,268,772,364,131,784,188,639,623,
213,872,826,721,133,886,332,764,949,113,993,533,748,612,866,832,439,756,062,
544,479,752,226,715,735,432,597,187,701,884,821,048,481,494,084,584,910,069,
373,369,261,065,282,212,510,735,790,818,840,632,532,135,370,173,016,554,141,
713,879,861,531,897,916,928,385,084,923,747,857,409,204,239,517,844,953,950,
812,720,652,334,162,322,913,271,656,123,567,083,567,860,079,528,841,596,836,
758,289,359,006,769,892,793,198,766,432,006,157,609,384,545,657,316,764,966,
050,532,644,655,299,379,785,182,733,499,985,232,826,159,753,037,945,044,361,
299,137,855,306,826,857,981,944,429,505,937,691,040,711,021,070,667,544,053,
325,462,160,998,946,257,857,206,578,010,881,456,005,465,595,072,734,219,148,
912,697,605,578,003,768,224,159,684,208,538,794,335,372,997,615,673,633,403,
640,705,301,408,235,257,581,079,772,900,502,666,254,254,691,170,908,368,912,
824,210,872,155,756,563,213,590,044,766,250,319,758,751,419,005,458,654,854,
108,529,303,721,931,588,311,576,559,034,502,821,040,824,575,437,287,953,507,
228,174,143,333,635,242,553,336,712,215,418,092,208,977,075,934,327,532,474,
224,760,418,487,878,057,169,741,387,336,308,401,051,664,779,502,093,612,167,
950,532,971,692,740,249,355,606,842,783,256,448,875,057,565,384,267,157,978,
417,352,563,302,958,412,798,638,425,916,528,487,110,397,004,967,079,464,080,
064,156,205,708,251,422,038,574,787,081,203,391,971,374,777,194,987,376,879,
155,668,652,751,358,155,600,837,120,210,791,982,778,868,029,732,578,103,479,
713,134,336,077,374,828,278,859,374,217,813,284,412,281,689,092,677,133,903,
340,814,152,614,519,810,671,427,227,380,285,765,957,839,380,538,478,198,290,
685,310,484,440,662,178,322,175,077,641,461,136,173,276,234,682,991,018,510,
293,235,224,684,344,577,952,813,433,340,516,894,229,163,031,800,120,969,599,
362,851,514,305,742,239,625,275,010,830,961,268,451,542,205,072,934,810,119,
244,133,908,357,520,506,769,455,237,284,721,523,988,882,601,861,050,995,516,
089,570,856,780,502,537,799,206,507,403,111,774,735,694,429,812,498,124,225,
671,211,270,564,785,354,514,781,277,834,081,794,114,010,922,214,176,923,093,
127,915,164,161,336,943,913,151,527,984,033,821,954,329,430,114,673,142,545,
026,174,292,504,122,203,891,447,899,780,536,421,833,003,313,864,423,107,085,
566,146,461,708,583,332,262,465,809,923,729,702,603,700,262,651,344,557,211,
650,334,264,394,072,352,224,342,711,489,722,799,820,568,138,600,848,285,842,
869,892,993,208,389,287,544,893,954,874,101,699,317,064,640,325,380,422,116,
771,701,660,909,741,543,892,367,959,566,506,194,050,678,662,541,211,197,596,
382,233,909,633,079,974,452,540,697,931,031,481,750,794,451,436,201,904,263,
076,221,251,028,283,093,769,332,340,442,010,361,906,435,788,234,183,590,746,
489,885,162,514,170,272,634,941,615,558,366,118,060,003,611,075,383,572,507,
870,742,090,933,957,333,272,514,852,587,802,756,685,628,629,472,088,001,767,
837,443,657,694,032,344,591,116,988,247,802,405,991,018,015,332,366,891,633,
601,857,957,959,399,933,429,722,939,883,864,994,834,050,622,511,401,944,088,
462,840,350,930,937,235,026,210,943,763,186,876,501,093,211,846,009,311,077,
327,535,231,463,252,727,757,953,698,409,687,564,305,593,326,626,866,493,823,
726,698,590,990,953,116,560,567,606,037,971,232,394,382,221,921,644,348,069,
786,251,106,701,605,138,563,776,483,289,317,524,426,762,085,483,435,467,341,
928,843,874,543,327,132,679,674,805,745,772,555,192,363,993,077,178,962,489,
138,344,625,754,839,423,489,380,369,473,896,757,950,097,433,921,476,203,283,
199,271,550,089,822,664,302,190,097,421,900,054,056,119,975,630,159,718,066,
483,855,418,534,039,855,386,326,507,994,683,891,648,678,255,790,219,283,667,
293,046,194,457,872,016,292,299,846,939,424,833,521,141,980,873,749,517,764,
950,030,496,321,704,533,060,543,516,104,545,216,966,052,501,882,685,601,004,
752,423,664,125,970,654,737,046,419,725,670,239,272,205,685,078,547,463,140,
174,244,627,158,278,845,746,710,515,680,117,126,229,472,136,846,406,170,582,
805,194,357,917,306,917,800,308,569,019,974,789,686,330,885,248,431,721,922,
720,601,550,451,039,811,301,041,023,648,046,909,101,988,879,107,078,178,924,
942,169,483,915,280,174,804,394,841,275,175,010,625,416,424,923,506,087,757,
231,656,680,212,855,067,235,771,600,622,258,379,407,915,830,540,391,058,057,
309,150,905,596,046,867,723,028,861,129,758,507,821,186,631,054,829,193,161,
230,082,878,733,135,149,226,288,297,510,796,820,746,001,459,045,565,125,082,
644,356,767,631,768,867,560,410,977,949,363,465,910,905,486,470,939,121,343,
977,200,269,829,085,035,097,206,561,854,265,879,421,465,031,060,370,459,637,
274,895,482,959,871,091,049,227,265,153,402,204,653,070,502,748,583,012,953,
236,510,256,599,029,245,073,420,124,610,271,004,663,247,242,825,103,987,654,
124,645,068,370,746,964,930,038,926,164,976,896,983,534,641,299,201,623,265,
878,179,139,666,792,897,624,361,495,159,150,942,440,355,763,057,437,354,429,
540,425,885,829,921,005,573,096,587,180,924,440,726,930,789,181,904,577,568,
661,304,046,848,851,523,035,020,387,213,842,767,662,280,060,802,631,493,145,
709,622,016,677,712,376,530,865,759,480,307,226,662,619,559,096,200,276,223,
945,735,092,592,108,680,893,955,951,011,903,574,665,629,035,657,321,054,104,
384,004,366,436,725,854,433,645,839,501,306,085,960,274,550,323,878,296,174,
573,446,031,556,235,428,448,599,927,862,525,166,601,866,268,113,626,030,599,
023,837,087,936,795,051,084,128,716,677,575,471,476,295,438,694,390,298,510,
538,325,114,561,768,466,909,086,452,484,082,205,798,316,932,177,885,516,331,
173,972,376,241,870,071,150,467,221,553,302,548,546,486,127,825,006,998,440,
358,904,107,416,671,443,619,042,897,357,514,286,338,669,490,651,437,119,657,
428,353,934,932,894,219,438,991,536,753,101,981,053,923,811,999,844,579,076,
454,216,193,882,470,371,283,222,191,117,541,957,472,231,235,899,471,003,176,
125,568,544,635,764,471,809,993,457,327,533,144,836,854,141,198,864,196,466,
277,649,170,497,452,220,599,121,132,806,386,976,365,263,206,284,825,726,058,
718,159,627,797,420,304,028,883,657,582,677,100,467,245,823,991,981,538,605,
102,206,981,680,970,063,408,098,656,733,224,796,739,024,638,389,959,844,989,
368,016,087,798,073,528,036,668,774,470,043,087,892,172,366,610,664,393,454,
248,225,276,597,408,932,682,510,578,179,254,662,220,462,815,238,904,824,095,
319,243,316,999,813,255,776,944,080,034,174,889,051,712,932,539,878,511,725,
854,664,684,494,920,911,599,556,977,830,296,273,065,636,139,117,060,874,499,
403,697,634,596,979,572,182,971,378,633,927,700,845,244,638,354,002,181,421,
877,791,897,436,473,275,631,536,443,573,525,905,367,073,663,611,108,016,834,
869,252,459,782,368,095,886,733,777,050,628,067,229,613,948,930,307,926,827,
167,815,080,312,329,493,209,006,023,024,434,519,006,736,801,417,822,815,480,
769,911,463,908,540,129,318,051,973,960,161,057,288,230,176,052,624,998,906,
679,107,820,292,790,643,875,979,093,600,724,218,647,903,667,447,149,657,716,
371,900,935,111,073,548,068,659,352,327,519,124,607,434,107,442,972,709,297,
423,213,749,082,324,142,936,755,997,864,442,606,259,912,146,780,250,226,081,
286,967,612,478,499,860,604,584,361,602,554,183,500,233,191,253,881,701,858,
350,559,802,312,078,095,145,597,491,542,860,876,412,924,534,193,637,822,531,
716,645,240,847,348,541,709,111,067,994,271,760,390,879,353,862,125,148,161,
585,960,511,629,478,239,339,738,152,320,218,623,475,760,151,887,236,528,804,
036,946,945,194,785,356,766,064,378,107,612,742,545,996,758,754,819,841,771,
657,683,196,040,790,438,009,628,904,463,888,268,144,748,587,505,070,955,647,
621,659,993,524,413,677,999,069,572,098,396,330,899,077,904,155,969,922,269,
595,133,266,259,443,922,254,055,502,835,169,257,939,937,896,684,728,833,535,
260,086,709,696,599,774,409,933,607,067,020,950,168,077,867,469,448,499,025,
054,379,145,365,375,875,172,145,551,317,944,529,453,692,031,479,842,248,691,
624,413,069,977,670,181,861,897,750,483,453,373,066,157,630,541,554,041,353,
134,190,307,579,753,916,006,545,593,338,365,978,631,181,098,351,575,281,837,
364,242,314,319,021,551,776,700,167,228,846,341,543,150,949,760,128,800,372,
351,478,495,085,655,981,228,399,683,230,539,891,153,008,642,213,713,287,533,
423,387,036,307,075,319,636,153,817,086,964,002,370,201,140,944,420,353,777,
042,028,756,511,951,161,633,480,510,867,016,841,466,400,163,544,735,082,568,
547,906,827,768,633,564,211,894,876,532,640,214,469,653,468,673,547,724,793,
543,988,546,307,981,029,681,902,947,137,551,177,224,033,496,368,998,198,210,
250,579,299,744,796,077,237,177,036,773,185,126,671,924,409,975,460,237,189,
159,105,620,843,162,318,496,438,109,964,494,108,332,040,598,619,662,544,350,
881,099,438,469,591,717,109,264,586,454,741,904,901,654,572,368,882,985,310,
167,044,997,489,023,829,896,779,501,692,498,388,694,385,768,114,866,891,238,
747,754,822,723,192,453,960,759,816,185,640,387,975,737,731,073,140,531,300,
047,461,738,958,532,948,361,542,473,069,702,707,617,037,648,637,130,344,991,
114,790,196,964,494,553,932,616,754,144,321,431,038,190,850,312,394,909,951,
126,085,726,169,409,182,210,090,158,920,552,769,125,289,277,002,738,295,778,
022,376,077,404,936,561,976,234,261,648,937,224,016,226,899,083,879,324,706,
491,868,833,475,177,390,668,811,000,770,295,498,322,255,674,014,588,520,379,
593,482,576,227,472,467,302,376,944,023,944,935,785,311,874,423,626,785,662,
371,575,580,940,303,439,541,461,448,074,453,409,863,471,052,141,834,849,735,
542,940,937,515,748,828,430,595,473,455,826,455,471,532,365,813,552,634,398,
312,267,717,604,320,599,156,960,249,779,893,356,112,409,613,085,167,371,496,
622,615,739,067,359,730,093,166,168,169,834,402,452,797,068,848,762,999,115,
224,836,419,093,546,398,146,369,762,957,219,378,646,998,616,993,389,914,115,
243,867,174,245,505,137,720,747,349,816,144,827,359,043,038,336,978,019,863,
438,055,355,400,810,374,135,770,191,063,427,577,324,389,515,495,058,729,656,
896,302,737,313,541,604,686,250,932,511,361,070,256,953,465,027,682,878,085,
130,298,276,189,676,953,123,032,929,515,174,878,765,089,155,569,055,844,915,
401,858,512,164,986,376,000,360,295,263,222,563,412,740,208,006,244,999,716,
187,985,006,177,006,167,170,134,429,429,362,888,081,940,090,883,729,377,289,
925,258,040,091,062,602,502,490,643,724,045,633,417,216,870,233,002,745,068,
023,488,849,423,466,986,255,885,330,866,866,682,537,666,701,165,547,664,943,
174,745,022,368,459,890,866,717,565,993,101,939,190,731,363,925,179,722,702,
947,748,736,362,420,246,984,149,018,909,980,036,010,996,360,544,449,881,738,
305,680,835,143,696,919,989,749,307,951,533,625,095,536,956,186,518,653,886,
423,200,228,901,684,570,845,416,454,239,329,781,708,173,873,305,835,895,977,
015,668,550,209,410,480,972,302,865,444,050,885,185,057,290,422,148,141,337,
553,727,284,734,794,871,061,067,492,708,086,516,277,048,489,079,264,879,847,
683,625,794,896,248,063,814,661,756,390,539,093,263,175,332,000,635,938,987,
600,303,379,472,561,655,153,307,896,145,487,022,182,872,111,536,475,654,424,
483,153,117,496,350,671,828,675,544,116,699,756,144,110,335,987,525,740,201,
375,421,692,054,200,483,138,696,715,459,597,867,827,056,794,117,081,163,347,
169,271,341,064,831,875,268,543,416,470,012,385,358,067,250,690,784,059,198,
103,664,462,741,987,466,283,718,476,794,639,708,256,394,070,669,861,792,641,
456,326,322,592,898,709,628,883,587,032,066,724,276,249,267,463,866,843,597,
883,198,095,374,573,600,517,038,715,152,190,928,507,328,056,707,144,653,302,
505,435,986,433,941,711,053,854,276,679,710,298,608,185,984,138,975,136,544,
723,836,481,855,439,423,333,746,148,550,120,863,740,230,338,907,230,384,849,
342,361,302,569,548,748,551,254,620,721,069,752,074,639,750,072,112,717,629,
000,972,067,843,810,932,145,513,559,558,170,879,858,492,937,743,335,392,251,
527,636,332,239,248,557,772,912,830,154,514,935,948,479,184,321,870,601,312,
288,640,598,453,286,121,161,717,357,297,816,710,904,262,163,891,278,001,102,
528,871,394,520,681,247,605,034,792,301,298,734,926,010,064,081,664,872,766,
916,889,828,365,202,003,327,175,373,514,656,578,531,248,856,375,651,577,509,
124,426,008,006,915,181,206,805,197,564,369,192,292,915,439,037,532,488,638,
745,750,797,357,068,615,463,588,454,067,112,944,307,541,598,563,949,561,952,
917,813,956,492,858,568,150,912,902,789,756,294,626,854,509,400,337,828,669,
961,003,279,510,706,826,180,208,124,655,307,123,773,136,351,738,538,430,451,
168,494,687,084,266,725,297,547,113,612,974,598,772,199,384,128,819,181,026,
242,961,824,696,392,683,080,489,544,948,243,254,531,772,010,095,499,427,031,
929,012,818,033,072,086,964,037,927,704,428,256,910,183,805,531,928,446,015,
749,985,846,859,693,556,015,564,081,984,799,884,465,708,244,746,671,618,509,
820,415,666,770,962,174,506,538,962,839,608,471,912,505,503,925,609,448,830,
207,146,760,872,888,303,596,122,589,079,012,118,870,091,521,449,294,910,786,
534,665,929,443,304,987,999,010,366,929,972,933,830,147,389,398,375,193,620,
766,313,398,930,808,698,502,240,773,940,643,052,859,230,039,945,625,364,613,
393,425,072,545,783,658,929,559,009,645,523,829,583,636,959,422,022,334,053,
039,899,440,164,271,099,128,106,935,159,583,206,469,388,200,742,353,504,016,
595,158,247,481,195,196,851,533,279,117,849,070,023,784,555,561,929,838,941,
203,769,886,713,933,206,657,942,133,836,660,874,604,908,039,596,039,813,552,
461,543,430,519,224,179,116,210,280,828,091,493,397,075,221,770,640,845,756,
469,449,091,024,345,457,158,560,282,889,192,985,546,113,573,434,843,794,516,
030,488,493,709,953,978,325,404,077,982,921,876,340,013,969,689,445,973,842,
098,681,797,564,294,858,832,184,978,373,951,319,657,491,084,537,510,035,948,
083,428,687,977,903,246,944,630,656,867,904,512,852,326,202,067,212,654,515,
032,191,351,468,203,337,014,290,221,770,109,445,656,123,599,078,289,745,047,
007,008,396,377,795,745,108,414,788,260,450,619,430,411,138,661,664,206,362,
551,768,747,938,093,809,364,457,081,163,785,886,427,452,338,878,366,179,747,
761,006,495,104,341,095,625,844,300,721,781,226,751,188,341,857,006,742,165,
249,293,125,422,571,240,608,233,009,257,744,628,787,735,597,065,323,307,433,
969,527,929,341,746,408,596,621,664,144,534,333,268,145,258,329,942,482,327,
454,102,733,935,784,547,219,458,551,834,443,880,445,433,987,534,221,684,477,
400,224,304,645,729,106,703,799,485,275,135,511,032,499,437,423,577,017,737,
353,612,414,385,202,407,554,604,468,422,222,362,761,807,969,324,520,372,264,
685,905,384,006,972,700,945,121,056,576,722,607,434,354,742,773,761,089,857,
848,542,003,805,989,175,816,053,442,842,252,147,109,179,157,880,574,466,227,
956,009,998,034,856,271,557,464,459,903,254,660,473,904,707,128,015,445,636,
231,250,341,514,942,239,617,816,510,661,922,229,023,387,586,980,195,084,422,
131,231,580,457,890,937,796,592,149,335,662,262,919,545,786,383,190,531,928,
904,865,146,241,663,022,483,408,938,392,864,252,472,514,331,319,609,650,408,
699,705,257,672,810,080,933,482,562,962,810,854,345,647,310,201,554,865,436,
384,299,873,701,595,204,291,208,318,961,387,113,915,093,070,541,399,914,161,
273,051,163,188,475,679,290,558,506,136,305,178,974,537,483,515,269,700,046,
074,766,739,667,214,941,929,443,014,071,620,279,002,759,284,917,838,903,117,
037,940,387,846,542,628,265,740,907,501,427,266,402,595,064,581,739,495,446,
673,342,298,690,970,635,797,107,792,080,541,394,677,978,963,588,934,305,928,
609,147,344,601,536,658,896,665,321,475,658,856,660,576,145,154,655,495,009,
147,567,887,702,399,671,210,904,463,977,768,682,097,536,539,244,604,111,669,
948,033,074,837,162,130,553,309,578,101,631,205,232,022,746,632,408,952,401,
345,027,705,925,471,441,473,430,735,418,585,172,919,733,208,401,753,813,709,
797,946,943,778,922,809,576,030,218,950,968,502,981,317,205,872,223,151,735,
489,290,651,938,813,240,549,502,142,763,679,100,482,652,467,212,146,158,841,
070,731,549,682,061,122,680,019,668,321,052,953,203,868,434,600,735,326,168,
642,917,054,808,534,629,585,388,903,029,239,860,191,974,314,937,435,598,091,
560,823,056,070,974,167,630,901,804,456,080,271,333,509,921,089,369,437,656,
821,847,502,776,619,659,950,658,067,520,479,219,228,719,268,447,723,974,510,
954,236,696,663,436,481,732,511,304,567,722,445,405,000,465,351,979,616,023,
407,262,126,976,430,837,788,322,829,805,770,663,985,119,933,503,487,931,289,
100,577,445,809,875,503,837,362,433,496,747,721,286,637,725,179,776,499,206,
260,807,001,643,825,689,070,094,075,433,894,705,415,613,898,953,104,913,447,
472,709,135,415,799,411,662,106,103,023,304,665,999,817,105,430,634,064,586,
543,848,288,563,693,089,794,959,509,737,226,305,633,367,271,602,390,066,196,
764,260,938,732,124,854,220,140,314,739,363,122,692,095,488,133,482,450,454,
167,775,158,594,442,351,876,224,875,470,223,817,513,949,615,425,147,412,354,
121,248,598,138,925,767,890,365,136,341,309,022,318,714,069,102,568,619,994,
998,832,910,760,968,275,894,886,887,640,224,667,206,481,094,950,536,058,278,
523,668,157,761,464,527,545,971,438,949,713,754,401,383,629,529,556,586,448,
120,650,798,012,015,035,054,654,873,834,045,050,882,152,472,646,458,524,060,
137,983,397,736,358,054,416,632,780,379,151,199,557,246,215,616,410,950,428,
037,068,616,187,928,672,476,597,956,656,263,133,969,688,383,413,810,983,005,
444,862,090,926,570,851,730,723,053,085,799,122,462,678,036,800,698,190,775,
758,722,756,845,265,954,680,691,479,223,576,713,183,959,974,715,413,057,296,
510,796,322,934,649,612,308,639,355,470,655,133,267,324,151,643,339,798,906,
199,642,724,254,448,468,974,083,269,392,708,093,354,139,011,544,112,197,340,
753,541,731,140,438,230,721,178,945,927,136,009,468,061,377,563,433,915,246,
344,779,832,987,903,390,045,892,377,572,569,928,952,591,284,545,064,605,537,
627,163,804,897,101,941,850,622,451,195,999,836,559,299,069,924,631,712,012,
213,984,621,919,000,352,809,040,495,476,170,185,267,229,429,796,007,665,321,
894,355,015,611,046,620,467,682,695,033,043,519,991,162,434,221,130,345,438,
591,808,089,168,454,533,096,479,193,603,175,077,242,614,989,764,598,325,171,
766,685,399,595,771,853,913,230,835,735,682,231,329,874,279,946,782,567,051,
048,042,881,432,060,525,949,549,001,699,248,086,738,053,963,404,363,114,546,
224,782,686,645,454,266,667,059,479,466,762,268,414,534,663,770,888,261,716,
047,872,783,013,401,904,597,027,814,792,580,545,115,176,181,238,204,165,810,
972,153,485,685,538,291,594,533,530,137,342,191,950,441,961,335,683,358,002,
268,345,638,819,170,579,715,960,582,465,264,231,027,850,132,274,817,159,012,
436,923,768,728,789,666,992,930,174,559,681,423,860,130,127,035,379,011,854,
969,789,444,141,594,409,578,205,417,097,860,690,784,117,751,431,539,196,843,
070,893,904,503,124,055,278,798,530,556,515,548,630,148,179,256,064,402,124,
741,503,533,960,140,848,541,413,467,111,368,052,344,420,036,222,236,940,493,
066,945,785,453,612,613,651,559,637,629,351,176,494,748,322,151,382,277,803,
797,599,862,031,183,415,873,038,032,907,035,200,784,366,590,487,559,124,235,
689,583,081,439,659,864,102,767,913,605,892,132,440,659,578,754,143,083,648,
997,290,634,944,716,025,803,700,727,168,042,192,200,423,586,671,238,325,634,
937,678,576,556,254,507,820,074,949,121,709,152,578,497,865,639,236,524,337,
868,720,517,377,313,198,730,634,641,467,182,079,448,135,170,039,776,802,860,
324,111,618,597,873,634,708,059,683,452,660,541,946,800,580,514,425,097,155,
374,031,030,390,738,248,472,770,624,167,655,841,174,484,972,446,083,982,880,
402,744,013,160,486,001,233,298,836,949,812,037,395,634,259,672,529,067,555,
691,575,500,130,564,660,267,126,795,590,194,328,529,641,494,705,087,381,294,
647,391,287,326,624,185,825,146,256,100,819,757,390,322,322,065,917,768,496,
764,667,555,994,062,493,569,926,467,418,477,527,752,130,891,934,931,002,904,
996,169,299,299,837,214,266,361,767,504,071,647,235,850,191,417,899,714,727,
830,056,132,155,376,234,215,886,358,624,925,936,634,338,866,804,155,983,495,
820,426,251,214,085,403,151,897,151,448,902,101,146,106,368,097,639,437,926,
401,635,203,579,648,251,472,636,525,531,630,634,563,561,894,936,856,915,789,
607,909,416,056,003,814,838,523,929,321,495,026,903,190,538,319,741,192,147,
627,718,980,005,075,685,285,445,887,992,139,427,565,446,270,095,318,476,420,
156,372,995,298,193,512,601,590,919,905,187,668,523,763,082,901,297,325,057,
793,188,421,095,316,355,107,551,101,095,903,835,928,665,545,637,975,560,770,
328,907,750,922,286,489,457,144,098,060,268,872,234,682,842,776,663,576,059,
994,087,829,828,731,848,404,152,413,101,601,045,913,685,916,791,847,855,431,
268,862,445,105,397,826,367,483,792,443,846,830,147,689,571,389,464,746,785,
220,302,785,270,262,879,279,681,665,414,869,642,310,461,648,367,378,292,989,
836,095,581,826,871,139,064,154,638,265,998,165,264,744,871,351,307,112,417,
571,439,131,979,786,814,478,677,786,396,354,806,127,639,541,174,109,448,789,
415,577,868,392,056,029,339,281,720,802,843,101,891,015,317,961,261,638,267,
468,228,401,176,086,895,594,325,460,801,334,829,654,230,528,185,602,595,929,
147,163,216,151,234,618,010,682,413,208,170,652,113,317,095,927,269,729,457,
965,552,439,719,611,145,221,254,056,187,334,712,332,101,077,027,791,382,532,
000,766,444,766,796,314,288,610,300,763,711,577,152,962,844,165,460,052,306,
368,944,086,587,192,898,769,974,323,989,804,617,767,563,064,400,046,732,465,
790,832,394,655,330,985,330,482,359,804,671,268,071,829,844,784,060,653,612,
056,779,467,402,199,674,232,179,731,047,527,569,435,029,292,192,128,817,450,
728,127,113,587,318,925,651,411,163,554,213,488,989,188,115,323,760,259,701,
222,050,649,832,702,584,424,598,898,127,487,240,242,283,324,157,262,756,528,
622,355,531,213,756,195,080,075,594,028,818,208,751,394,830,952,511,305,209,
609,518,865,239,889,759,568,588,283,040,115,450,878,335,847,260,735,073,756,
840,743,165,463,897,970,892,904,869,463,757,490,988,560,441,026,479,509,643,
290,923,767,442,444,898,487,613,413,242,079,171,527,851,145,051,117,210,915,
584,432,090,784,801,010,743,570,141,460,160,277,572,238,731,683,056,697,977,
854,248,290,568,100,871,194,006,285,905,422,700,551,199,358,899,217,411,773,
845,276,127,385,834,444,770,565,062,781,200,187,306,259,912,466,396,235,548,
495,543,383,383,393,824,744,819,814,143,377,049,960,755,712,269,628,670,570,
233,502,811,172,368,608,968,787,550,240,949,116,561,904,966,614,642,237,840,
596,405,571,295,795,098,541,843,217,094,194,919,201,529,738,178,297,200,246,
032,617,932,902,601,155,733,871,673,532,184,714,190,721,772,104,215,791,103,
401,556,955,198,475,433,144,833,269,451,902,884,275,576,648,336,941,894,552,
292,213,610,049,117,787,926,498,051,010,312,061,521,745,203,569,942,249,940,
544,414,987,608,221,356,435,697,864,809,338,556,932,682,447,132,891,941,378,
451,752,154,204,374,413,911,819,510,467,189,143,661,752,557,004,263,921,082,
974,116,669,890,308,230,773,990,641,241,187,505,872,715,341,166,690,574,061,
636,655,185,411,528,952,729,828,686,415,161,770,571,071,937,021,676,038,697,
034,055,572,116,213,904,346,994,700,587,539,698,722,538,826,396,787,003,379,
458,245,124,091,124,233,211,326,995,285,084,050,773,166,209,348,549,481,691,
142,178,632,105,390,985,522,231,789,930,830,072,609,507,540,315,395,068,877,
956,710,863,259,950,177,894,300,241,240,953,150,487,528,344,729,019,385,806,
397,810,714,609,787,274,516,469,514,376,680,413,339,068,921,247,067,874,880,
081,305,811,634,404,479,955,159,740,255,553,566,133,683,991,278,208,221,806,
118,400,599,623,208,618,776,253,887,001,001,920,564,823,059,655,043,740,869,
853,793,325,835,446,766,123,123,529,466,314,486,302,765,316,846,397,745,559,
163,901,245,607,581,249,089,843,323,801,131,512,829,675,121,594,638,301,754,
011,998,080,035,484,348,366,221,749,881,502,471,210,788,672,630,604,173,284,
690,426,327,187,013,226,624,043,644,542,351,021,024,807,804,625,038,715,863,
802,513,436,952,038,438,077,038,539,242,228,384,123,040,750,036,681,093,258,
885,880,877,775,833,673,744,854,880,661,505,000,362,694,063,188,402,193,502,
917,387,564,868,949,449,890,467,349,263,265,688,737,024,210,386,583,850,652,
502,236,084,139,223,388,356,296,413,937,420,393,787,873,270,290,598,736,720,
060,959,200,568,105,280,986,005,779,283,215,813,925,932,216,417,393,051,602,
546,777,071,534,635,013,505,959,589,109,537,573,709,018,411,959,114,547,659,
933,328,172,578,557,653,901,264,417,678,066,122,946,643,839,022,270,111,906,
033,170,633,548,600,732,734,758,734,654,538,313,932,840,120,284,363,907,611,
736,649,729,545,197,165,134,884,182,741,420,818,340,215,412,700,307,255,934,
429,886,428,890,455,381,934,152,353,505,795,929,445,938,775,078,602,545,986,
191,946,282,872,212,752,735,972,667,656,766,910,925,487,509,711,178,368,632,
618,687,123,320,601,404,377,469,630,103,441,889,588,865,190,267,115,817,159,
152,056,746,243,266,865,344,392,567,828,230,102,477,430,033,632,023,887,242,
950,961,509,781,448,236,408,995,822,437,572,504,368,472,724,727,079,232,310,
160,217,750,175,952,815,514,619,707,240,329,740,102,104,712,224,624,541,925,
986,395,550,995,355,087,939,668,720,263,748,954,220,701,957,591,418,815,764,
068,074,107,711,303,580,242,512,093,087,832,442,424,520,977,636,017,015,718,
925,231,538,432,306,274,004,760,936,373,274,978,350,678,163,188,879,115,273,
885,433,019,077,229,083,306,270,363,085,570,827,624,295,453,622,775,463,409,
540,171,307,211,833,962,066,089,393,993,662,262,181,090,831,191,269,269,162,
198,853,794,868,108,010,341,592,242,141,422,597,240,941,998,751,942,493,723,
655,014,548,364,015,496,521,576,863,821,483,412,455,486,495,018,691,740,254,
939,086,030,423,058,042,489,155,704,886,889,404,442,878,656,488,037,735,108,
281,895,734,843,865,474,521,002,178,539,311,489,729,032,566,568,262,852,003,
056,518,581,448,157,120,744,680,024,552,273,730,335,311,906,473,719,006,847,
957,437,896,732,441,887,089,252,668,607,020,851,260,996,277,662,722,637,889,
940,415,015,922,412,772,219,590,342,056,465,930,968,844,240,371,243,774,236,
642,905,233,958,364,870,981,164,063,323,371,544,587,438,702,732,727,692,503,
952,161,227,204,689,919,179,524,185,570,564,861,510,304,997,705,241,277,132,
471,123,377,738,422,604,909,655,754,466,662,063,763,986,858,894,382,170,437,
559,672,038,680,518,785,081,245,625,964,193,337,414,825,189,555,170,123,283,
931,001,240,086,967,407,311,942,671,783,613,614,375,776,662,748,046,719,254,
137,064,992,383,698,257,750,514,437,397,568,833,396,332,642,194,946,106,336,
877,043,527,510,629,975,946,138,277,793,452,611,543,789,083,462,885,123,840,
910,123,345,975,560,355,776,732,707,493,957,078,190,348,488,843,891,015,884,
187,886,467,488,885,733,293,051,539,373,209,089,052,687,907,196,239,204,401,
943,550,663,218,485,242,602,076,383,725,329,943,872,208,495,589,593,421,722,
336,153,113,784,441,738,611,388,218,227,402,460,179,780,577,951,122,153,691,
282,172,288,365,783,991,765,310,085,883,948,586,060,155,631,222,819,341,370,
941,059,806,825,923,409,272,458,691,455,186,973,026,579,282,130,933,311,637,
434,464,587,802,125,400,794,836,477,683,817,443,190,654,634,191,795,633,528,
945,896,959,791,298,278,056,928,795,308,353,152,495,306,548,491,177,780,968,
149,790,141,729,192,869,328,708,104,531,770,357,644,831,910,666,350,620,040,
242,937,519,466,077,463,855,068,483,630,537,570,762,090,162,171,521,536,524,
913,533,925,913,643,827,433,694,702,485,387,715,704,826,563,620,452,735,976,
077,686,651,098,514,213,226,232,697,560,527,709,240,757,958,224,550,738,296,
713,474,178,804,422,518,142,243,521,536,650,223,889,486,636,226,490,326,471,
207,621,481,145,179,542,871,424,402,758,750,335,196,538,889,450,325,017,338,
213,630,286,244,542,036,532,895,454,472,856,010,365,611,569,260,945,612,610,
950,936,766,073,388,888,310,658,393,532,155,117,903,122,756,091,781,122,527,
168,869,597,643,059,390,892,346,194,249,796,145,859,090,142,854,815,714,219,
803,968,029,971,763,775,275,815,991,500,289,328,960,028,600,752,714,161,608,
173,740,333,423,957,504,775,107,433,627,166,461,585,039,919,526,996,372,127,
366,125,958,810,522,852,904,073,146,747,647,109,462,733,620,952,052,259,804,
653,842,580,138,447,619,951,560,918,925,334,853,973,625,949,157,920,499,380,
892,175,937,824,241,319,885,711,683,642,984,578,527,747,774,843,448,936,841,
941,432,855,491,694,126,684,629,282,952,697,854,572,491,779,765,416,877,574,
094,502,038,614,961,982,014,511,418,463,246,178,272,037,578,936,770,643,560,
314,690,853,861,311,357,833,774,572,751,223,034,566,263,436,540,874,828,247,
930,930,710,854,841,267,178,872,226,710,245,411,921,422,997,582,815,575,203,
827,535,157,918,334,621,169,730,268,228,344,613,510,326,956,111,872,887,720,
999,417,668,734,684,128,849,092,204,418,566,746,070,982,419,096,227,973,168,
661,873,890,914,624,304,784,568,307,052,557,527,568,162,102,828,524,117,951,
756,217,009,468,827,075,157,173,856,711,872,741,968,464,195,560,457,425,000,
536,659,357,328,002,632,566,147,096,405,005,576,968,216,121,251,893,603,833,
273,400,524,494,495,038,385,932,214,349,742,474,452,622,059,298,303,549,581,
207,833,279,220,854,380,977,526,456,400,602,352,443,171,376,216,243,050,164,
010,890,377,386,937,561,340,765,200,103,017,685,905,317,157,301,778,445,609,
274,602,946,857,207,939,093,971,378,246,585,983,670,449,273,116,914,285,629,
960,232,747,218,525,963,077,686,961,721,673,844,848,681,695,090,994,012,100,
986,364,399,768,678,432,127,996,504,600,602,595,270,942,356,408,511,650,914,
733,230,473,244,668,372,837,010,333,732,353,984,385,265,902,393,445,602,769,
708,774,839,198,905,119,686,680,746,864,458,516,136,954,061,831,762,117,873,
460,871,591,244,899,561,122,142,495,426,787,635,429,727,801,494,364,761,670,
381,819,723,525,609,270,202,229,799,917,205,623,582,590,261,419,937,606,005,
169,137,574,275,659,566,272,191,995,361,107,348,066,459,005,119,775,020,933,
357,427,422,432,034,947,915,066,792,278,535,496,539,359,852,225,785,791,642,
390,631,556,880,484,265,836,156,206,990,987,363,138,413,646,785,186,256,788,
914,088,137,950,994,379,511,287,897,311,798,848,345,553,455,819,517,178,881,
479,286,238,989,463,015,679,654,143,140,282,498,879,483,304,401,770,629,751,
932,936,839,612,064,786,207,530,502,837,128,099,704,889,184,172,545,321,877,
532,981,392,915,213,672,206,699,076,668,506,505,861,354,365,258,770,074,575,
598,928,334,077,569,884,642,061,917,911,169,230,827,321,734,646,505,769,703,
583,231,139,430,282,185,121,126,393,694,012,483,971,842,722,762,585,336,518,
123,746,935,512,273,379,706,151,134,121,001,869,841,721,206,424,660,445,227,
547,182,036,879,383,068,885,523,289,641,627,019,282,239,204,741,033,959,939,
951,214,599,058,667,655,543,236,674,500,989,054,776,647,409,489,830,150,220,
653,596,611,739,822,832,258,521,718,849,136,620,255,975,371,848,624,285,484,
227,756,686,202,809,055,187,357,301,436,277,495,959,668,369,580,549,370,938,
302,856,403,092,480,940,781,448,086,893,543,675,273,424,237,992,171,315,958,
492,929,833,249,408,330,124,312,422,205,087,123,275,765,067,976,117,328,786,
096,240,716,509,366,165,772,560,574,095,178,413,634,415,875,881,877,671,560,
511,705,141,970,953,168,122,432,413,273,494,957,783,443,735,956,650,878,941,
726,021,045,394,857,755,762,115,457,805,552,351,727,471,520,862,780,876,666,
426,106,047,859,284,664,011,469,983,520,515,940,344,619,301,890,422,687,215,
799,960,453,311,493,004,014,404,298,196,657,160,156,976,017,317,565,802,617,
840,049,485,126,740,486,305,037,775,417,575,757,088,888,514,809,194,242,731,
267,253,925,072,250,525,317,357,409,036,515,829,393,901,566,818,450,787,671,
078,162,784,401,537,754,356,918,743,494,589,353,208,815,232,878,661,219,134,
945,915,118,285,999,474,443,046,568,174,910,702,835,619,516,409,595,149,672,
014,648,806,367,389,262,385,526,693,430,570,522,907,881,534,052,480,915,064,
040,893,818,283,862,284,150,425,522,103,907,828,322,112,027,834,320,040,875,
594,321,896,222,624,472,150,700,069,493,890,736,362,153,873,092,998,360,752,
663,284,234,107,618,343,203,868,517,270,691,082,345,625,944,884,670,530,981,
859,618,198,719,223,129,585,867,785,061,230,588,906,573,031,135,510,621,445,
021,079,625,055,276,995,538,850,582,699,178,294,880,148,362,653,390,979,058,
491,319,562,466,501,177,877,155,121,182,014,499,107,881,476,132,138,126,685,
380,804,402,194,590,253,757,238,967,836,459,297,730,743,623,420,739,834,232,
491,192,538,497,040,762,700,989,557,021,658,153,161,457,970,031,001,839,516,
613,487,956,126,218,420,231,869,953,560,633,293,715,258,194,561,628,865,555,
991,533,793,865,867,994,064,737,950,011,115,716,247,024,594,175,098,158,734,
713,253,356,014,436,375,277,337,109,160,950,801,460,415,148,549,915,186,000,
985,071,425,928,718,153,488,995,021,126,714,051,648,255,198,928,103,879,360,
222,420,139,203,672,228,552,104,569,844,182,874,536,457,126,117,822,612,342,
446,362,921,716,247,943,767,635,568,064,106,290,596,108,525,975,980,055,195,
979,572,938,685,111,546,860,271,463,754,944,744,133,096,697,651,153,241,515,
970,297,043,205,104,070,935,882,556,627,479,521,107,612,624,414,654,371,213,
988,910,211,343,063,984,434,256,962,847,099,100,209,169,055,023,282,804,115,
417,715,455,955,095,192,643,651,296,277,659,582,617,655,825,096,712,156,762,
730,568,621,627,236,772,175,653,230,909,560,426,782,385,271,493,136,666,518,
840,668,248,646,772,177,952,485,030,663,846,451,030,500,894,585,981,426,602,
540,520,323,345,658,545,961,508,843,079,672,377,754,996,641,160,945,602,155,
975,000,157,101,418,912,294,993,687,382,701,846,483,212,837,666,529,348,581,
668,526,154,338,053,822,918,778,419,338,547,725,922,254,935,314,991,880,420,
980,412,112,260,967,504,451,021,043,829,999,744,475,892,851,301,204,110,642,
496,545,309,270,829,970,353,999,432,294,020,600,307,734,028,902,811,571,840,
546,896,005,353,654,187,143,402,852,868,420,498,162,395,638,332,416,603,595,
353,791,199,445,943,532,434,483,534,603,869,396,190,804,441,882,295,771,511,
256,674,323,308,983,519,155,365,645,423,759,541,457,570,940,249,841,829,570,
620,720,009,544,477,239,176,210,880,746,644,119,822,001,692,863,669,502,702,
958,612,797,187,750,938,518,073,217,177,664,542,303,685,500,125,411,489,367,
899,864,879,335,243,507,779,633,328,385,558,348,450,253,535,934,170,582,559,
801,365,131,688,292,148,195,033,618,272,028,525,530,787,972,976,851,168,477,
054,280,064,086,118,211,418,652,039,248,589,720,225,779,761,404,455,399,676,
219,053,934,761,811,507,730,445,464,500,667,020,568,011,563,548,909,605,559,
912,133,952,636,003,210,254,606,870,604,694,268,296,801,779,481,924,775,145,
594,617,371,725,493,369,278,233,671,092,957,634,656,914,637,575,078,123,194,
640,541,172,874,091,331,223,478,359,881,592,218,191,979,834,757,817,857,304,
512,865,639,239,321,592,431,771,982,301,948,400,651,173,279,688,985,546,045,
465,667,806,113,685,602,730,544,225,717,741,995,959,797,495,326,954,209,592,
431,023,569,323,386,673,295,014,400,793,581,183,700,235,111,773,301,701,715,
829,699,360,606,904,697,973,896,895,233,772,291,057,634,060,103,246,560,871,
927,867,519,813,513,722,733,355,947,609,946,337,081,717,928,584,086,190,894,
825,190,727,142,354,786,289,284,935,212,325,477,144,491,236,049,653,931,529,
342,029,211,909,992,660,868,431,974,920,690,744,102,415,534,254,565,421,570,
103,666,425,618,561,262,899,528,583,582,802,528,778,868,103,436,676,449,080,
198,632,781,665,407,430,051,986,525,296,947,186,090,974,631,963,377,587,177,
411,511,432,728,137,327,738,387,514,288,164,284,241,651,976,354,857,080,785,
349,671,581,867,703,689,423,302,232,054,914,400,404,080,525,455,403,139,705,
541,315,271,834,033,324,974,749,392,991,572,289,110,332,695,922,146,634,865,
397,932,736,983,472,381,312,779,422,654,445,097,594,706,650,177,502,061,291,
810,142,037,558,715,032,827,028,664,455,295,689,214,617,492,015,191,456,181,
507,635,656,655,735,197,192,453,439,341,380,486,634,208,463,329,636,285,839,
175,802,693,268,106,624,353,794,883,751,182,501,870,062,566,372,804,840,414,
371,929,994,061,309,516,120,828,585,452,442,136,212,455,826,344,619,145,416,
313,744,825,123,102,762,647,970,150,734,881,704,126,099,527,368,978,723,334,
867,306,281,848,917,997,155,508,448,005,825,136,075,754,736,227,618,119,529,
074,328,601,067,340,085,921,047,546,410,807,458,697,604,038,537,269,784,309,
036,936,553,888,922,908,337,116,651,747,494,596,348,849,186,610,455,766,268,
069,407,998,718,731,624,613,100,247,307,831,168,636,945,867,647,682,787,180,
197,808,754,812,793,572,293,639,746,888,346,618,343,118,590,461,868,108,782,
080,549,853,142,007,655,412,344,949,764,801,919,693,415,410,619,612,930,830,
716,014,742,718,758,994,821,726,790,810,585,249,134,473,052,151,283,811,418,
256,977,187,700,594,542,270,774,245,082,802,113,872,376,419,107,189,071,406,
092,429,305,603,261,043,580,882,457,936,515,403,624,276,241,926,771,767,921,
966,582,265,169,990,058,798,961,800,282,323,232,642,620,425,524,498,116,475,
552,905,642,661,122,960,284,725,840,179,728,835,161,039,607,199,079,732,866,
598,674,158,512,342,705,823,493,179,838,998,982,592,945,676,265,096,710,119,
912,499,722,308,797,093,063,258,123,990,880,832,689,828,377,462,693,317,409,
344,175,410,679,612,869,909,699,429,390,385,233,810,179,287,846,715,045,255,
659,593,342,869,481,090,937,872,512,335,709,964,530,652,454,995,804,783,636,
842,764,993,224,569,038,567,336,862,607,155,795,955,252,985,611,547,431,410,
154,156,765,208,306,819,683,400,248,853,325,684,313,155,284,788,553,170,717,
941,308,509,291,365,367,882,817,485,944,524,400,317,179,769,896,073,120,151,
904,912,504,400,709,878,263,907,278,889,037,740,002,656,940,001,581,114,314,
614,690,280,315,773,290,963,919,665,136,232,180,752,631,839,094,439,614,792,
085,890,369,835,105,993,146,371,725,427,017,962,753,671,702,400,415,979,187,
378,556,933,598,218,293,533,275,815,482,827,876,346,544,216,836,773,915,933,
455,242,669,830,972,910,114,557,474,403,470,916,327,513,714,596,841,331,817,
479,320,764,032,301,765,071,858,396,334,677,830,064,308,288,736,842,631,126,
742,803,538,758,753,226,300,827,066,991,353,362,293,825,096,912,131,980,130,
889,291,801,620,407,143,064,179,765,721,739,850,308,468,000,459,281,892,878,
328,511,619,073,895,045,527,167,334,828,686,813,505,319,878,188,252,358,879,
213,643,104,197,114,029,742,333,080,830,735,078,955,286,328,833,029,994,433,
029,454,328,138,469,721,033,898,743,481,850,835,159,133,485,169,119,773,632,
448,914,977,019,397,518,597,194,003,731,788,245,406,082,595,468,470,834,680,
499,419,692,421,301,567,348,718,239,963,169,990,735,463,526,649,507,095,705,
417,973,215,049,068,016,972,074,796,153,334,260,672,996,544,035,747,850,265,
261,808,517,133,191,956,134,245,186,865,887,646,241,086,019,678,474,175,670,
497,779,279,640,597,214,117,321,254,415,603,191,997,868,187,990,535,646,622,
351,152,216,075,950,510,597,530,934,555,229,551,530,863,993,907,115,275,299,
254,275,080,112,555,136,548,644,738,682,685,392,723,966,569,745,201,424,565,
151,715,008,180,782,012,046,506,398,244,519,845,922,400,308,936,608,046,706,
847,224,124,657,114,034,028,189,890,437,640,310,637,282,921,714,039,761,589,
565,119,098,175,506,892,027,179,152,902,173,712,907,924,340,073,531,130,197,
113,017,651,470,774,882,000,746,492,052,873,301,574,478,756,082,175,553,758,
569,209,364,389,600,887,188,841,377,590,177,272,318,429,285,632,227,721,786,
091,567,762,329,588,692,945,690,070,515,458,589,354,692,824,434,116,309,231,
109,356,297,054,467,970,045,900,461,811,111,973,869,331,819,507,700,541,575,
207,047,654,321,213,422,509,713,083,313,780,736,063,112,706,852,282,769,551,
998,362,859,603,526,881,536,148,308,861,168,937,867,174,959,324,317,517,113,
499,843,087,515,166,638,285,019,358,114,634,882,148,515,528,745,491,538,048,
814,985,711,802,075,112,439,897,407,585,432,834,713,392,738,582,730,452,765,
600,040,363,854,800,402,094,416,675,222,242,879,095,527,406,844,594,125,925,
833,080,053,964,547,552,449,556,504,536,987,540,839,749,597,474,942,049,940,
330,735,693,184,747,758,516,648,092,931,373,482,717,191,437,239,434,287,792,
030,907,998,714,550,189,104,276,921,263,854,455,766,422,947,759,732,125,775,
458,174,693,177,234,152,166,268,950,180,547,605,144,058,913,808,091,143,722,
431,754,375,748,462,488,955,746,196,064,347,003,869,716,200,941,934,271,541,
245,975,197,528,201,431,324,852,630,383,317,924,318,734,910,558,000,005,640,
361,490,358,594,172,858,331,977,738,131,486,019,464,478,754,679,805,113,247,
389,243,826,236,890,550,185,875,572,448,995,624,842,217,409,675,388,303,103,
693,670,982,340,889,964,954,318,658,415,362,586,591,469,309,768,524,677,475,
094,304,919,870,673,869,205,046,132,245,932,692,687,082,573,543,119,499,347,
587,915,738,778,179,114,983,496,601,393,116,133,386,937,193,094,871,075,464,
255,820,166,418,455,420,625,838,219,313,436,137,930,699,332,616,659,312,726,
786,423,920,824,093,330,037,510,416,058,144,539,237,677,338,590,450,910,440,
521,629,844,245,373,730,282,065,398,871,086,008,753,024,059,425,805,743,226,
156,408,174,324,606,573,705,264,335,150,935,685,102,725,087,864,410,959,520,
813,698,566,509,453,015,608,651,487,748,330,289,438,165,173,526,852,405,147,
431,915,036,314,631,334,690,820,019,822,252,394,635,293,445,380,245,545,116,
802,344,936,913,377,991,346,471,301,490,507,260,973,962,115,589,762,811,888,
897,030,544,044,473,167,597,937,174,261,794,163,519,861,925,709,089,082,900,
938,056,542,223,761,484,073,330,519,521,659,918,885,519,899,276,210,724,377,
238,650,910,672,064,413,191,514,673,491,857,896,126,648,763,610,633,322,690,
471,829,995,844,527,734,594,782,094,435,215,726,307,274,771,521,096,447,489,
875,120,321,970,965,136,982,806,918,608,753,960,543,761,930,160,208,703,055,
279,380,685,921,264,622,639,655,188,171,958,145,740,571,859,149,284,651,901,
956,201,084,712,874,773,854,663,876,848,242,161,464,692,635,353,747,273,748,
739,699,233,320,090,154,770,332,074,342,575,217,325,624,739,719,186,988,959,
142,352,432,319,713,733,762,793,004,783,762,417,796,205,929,633,335,031,021,
777,917,508,125,889,591,333,622,760,673,638,066,264,558,268,131,070,740,726,
813,822,504,302,379,687,053,194,960,302,810,845,345,480,119,808,249,779,809,
565,251,404,259,776,936,231,182,979,513,780,709,594,374,410,618,283,582,386,
773,577,081,733,338,911,073,353,434,102,882,578,482,606,675,914,405,159,675,
451,976,471,999,243,241,280,520,566,825,290,595,557,883,230,015,073,412,560,
326,800,064,356,328,239,862,778,099,062,437,019,348,380,459,413,357,627,359,
494,451,792,528,700,251,792,721,687,270,263,878,644,332,543,685,562,113,992,
891,619,535,070,159,081,699,149,792,695,138,923,557,287,900,392,783,890,955,
932,713,588,823,389,146,922,857,022,685,763,349,704,567,337,080,286,015,032,
194,778,816,206,319,362,631,741,627,917,551,934,500,858,354,353,323,664,878,
307,943,945,981,478,954,878,877,900,100,205,690,252,080,701,725,986,484,263,
776,151,381,552,057,403,157,536,809,800,657,812,907,831,457,399,916,669,532,
582,810,216,140,484,617,748,682,514,643,146,805,850,410,516,573,001,083,668,
388,325,450,418,487,063,554,899,964,929,147,475,618,301,038,337,783,320,477,
872,103,471,175,334,259,428,239,758,977,297,535,677,897,082,904,662,290,711,
786,717,182,468,797,943,073,510,453,713,538,223,767,803,458,077,016,441,221,
792,726,275,383,172,794,750,016,449,965,469,201,310,779,626,913,954,497,471,
695,474,758,347,442,698,080,327,065,120,838,994,198,819,291,661,073,723,062,
323,206,946,723,220,116,099,121,515,864,533,740,030,104,740,522,292,501,919,
498,296,260,175,932,998,056,918,073,280,677,396,946,034,297,565,596,949,000,
751,173,404,355,887,905,020,624,416,400,688,779,236,011,610,566,323,831,317,
598,861,004,952,585,805,868,528,823,762,211,367,766,308,588,443,993,137,358,
894,410,941,332,453,965,561,534,028,161,994,860,770,348,888,715,336,439,274,
244,216,715,816,210,129,698,051,141,041,495,280,704,359,914,821,280,240,545,
893,594,960,273,589,185,669,505,158,258,106,169,933,617,359,652,797,276,102,
209,203,294,550,657,287,714,106,732,459,994,360,379,725,490,465,519,304,444,
698,851,582,830,117,024,568,324,066,949,124,756,457,730,421,869,395,321,430,
545,856,909,081,492,015,052,582,137,862,436,253,269,966,032,678,054,463,120,
322,346,839,985,888,239,230,592,536,601,167,683,460,178,774,618,463,740,867,
544,918,411,538,027,665,338,893,870,883,019,349,583,397,207,951,541,861,238,
359,001,410,480,296,772,932,094,059,038,896,007,392,433,021,926,284,947,347,
504,490,073,403,366,581,491,049,766,643,525,949,644,098,757,606,774,205,211,
492,915,851,056,892,902,712,341,059,603,755,071,899,799,026,137,261,188,690,
254,361,318,759,837,344,847,562,034,974,224,223,112,298,292,016,603,398,230,
426,397,213,090,104,860,750,739,309,553,024,029,691,756,263,244,499,925,805,
219,984,399,664,132,420,678,604,190,347,362,618,823,462,603,669,746,431,045,
380,382,719,395,137,111,667,865,562,929,660,604,642,295,950,156,911,265,473,
164,072,767,957,695,962,193,695,293,650,879,427,710,435,889,904,387,867,637,
693,095,398,969,184,488,552,324,689,241,870,329,858,332,410,814,283,607,430,
160,127,464,163,513,271,203,992,397,520,608,322,695,825,686,578,365,340,838,
873,626,151,130,574,505,971,082,046,857,173,051,031,249,300,608,716,313,993,
404,695,162,917,476,186,747,865,138,488,324,613,188,499,661,406,919,910,581,
908,829,574,070,399,168,153,775,856,385,361,326,886,523,346,930,155,400,244,
406,867,642,168,216,800,312,540,966,358,635,858,265,851,416,143,074,411,901,
117,912,200,597,499,589,095,301,214,535,474,924,546,442,814,888,835,848,456,
600,877,083,250,597,786,681,011,617,892,305,707,810,163,390,033,449,052,616,
890,144,835,340,767,425,407,844,572,227,707,185,808,477,791,959,254,093,419,
059,893,470,619,420,216,870,833,458,109,779,140,792,619,549,749,570,062,845,
232,947,545,713,430,865,654,458,629,636,012,393,260,555,929,007,875,585,681,
504,452,408,842,975,264,516,853,099,167,742,203,958,542,167,052,800,049,671,
314,644,043,600,372,257,873,359,922,745,777,845,089,164,395,303,860,292,070,
133,307,146,181,261,463,644,822,410,812,913,022,032,568,426,847,225,261,985,
764,300,585,531,004,258,266,389,856,489,889,792,323,799,607,568,298,941,638,
397,711,027,484,925,278,568,690,989,842,919,594,576,272,748,634,410,973,033,
304,755,299,802,440,815,026,518,230,483,410,756,509,792,343,963,362,367,678,
042,373,742,527,272,501,054,392,274,509,970,780,696,973,346,350,338,173,200,
261,976,755,530,327,076,458,434,536,518,277,896,759,469,521,707,118,373,579,
369,046,489,292,246,242,892,843,720,569,534,585,822,494,239,446,283,472,725,
292,194,641,022,525,886,605,794,219,356,669,867,433,583,814,013,009,911,434,
029,738,745,217,552,423,616,815,815,920,487,660,866,489,045,137,009,381,483,
246,251,437,412,139,496,102,418,948,082,800,746,021,243,090,432,531,221,033,
059,870,083,712,570,748,716,600,730,390,703,352,659,685,974,881,827,786,195,
695,073,995,181,488,308,410,365,393,981,594,463,368,361,974,768,724,147,822,
098,082,337,435,350,485,300,463,328,262,599,015,584,932,838,420,946,750,462,
760,971,796,885,755,936,615,722,679,065,556,461,068,896,599,939,124,664,126,
955,398,754,811,299,451,055,896,050,629,464,322,416,513,812,899,072,736,679,
943,795,302,382,598,104,137,836,212,739,998,707,250,109,325,017,680,156,326,
553,759,855,534,200,137,725,148,697,743,453,854,808,112,323,327,991,786,320,
445,049,490,947,825,576,045,765,524,564,140,227,269,687,656,185,529,263,176,
452,932,545,816,629,520,828,492,138,652,828,478,321,606,902,816,971,363,881,
618,298,047,593,113,630,019,721,437,587,648,340,588,110,182,334,621,113,767,
208,656,861,679,741,079,718,781,992,917,159,163,204,871,278,067,717,189,166,
301,937,992,480,759,217,829,070,565,237,776,215,265,306,215,859,300,741,718,
367,420,651,939,001,220,481,136,523,059,030,166,672,422,888,091,452,254,403,
510,095,203,386,479,937,275,564,212,632,525,303,816,736,423,287,296,850,574,
233,914,356,598,650,671,893,919,384,337,942,610,295,473,194,460,569,342,258,
915,245,462,751,644,979,486,080,916,744,003,075,289,054,674,769,496,291,400,
193,757,782,659,444,572,061,390,018,190,186,390,954,446,847,184,483,531,960,
972,002,585,795,926,094,949,156,850,957,247,086,398,753,546,286,713,837,969,
781,131,705,161,177,095,296,346,380,404,210,735,088,719,722,461,428,606,429,
465,127,947,230,533,227,401,206,845,155,362,415,329,691,677,176,007,196,305,
276,875,359,985,393,078,553,489,212,495,094,939,060,107,918,809,823,117,616,
959,277,569,530,305,392,243,553,852,353,235,124,388,713,806,405,596,714,493,
070,135,860,627,507,139,822,627,961,424,914,783,411,906,744,084,967,446,302,
826,290,503,841,362,768,956,804,004,303,126,923,101,491,879,914,990,480,377,
815,436,657,231,763,691,709,176,211,829,039,212,455,409,970,217,035,093,205,
900,527,241,446,962,470,060,974,238,940,267,091,188,054,952,075,957,872,624,
176,054,047,731,415,443,701,795,839,423,860,006,914,667,868,323,614,380,185,
881,508,614,482,127,585,005,300,888,370,910,138,261,819,526,069,837,698,796,
171,901,067,364,944,829,270,214,680,625,675,291,800,755,316,716,835,640,060,
469,878,585,347,633,751,664,968,384,831,538,420,433,133,508,431,320,755,377,
872,614,838,744,858,366,607,052,276,768,747,981,036,641,865,219,079,900,665,
035,977,433,485,504,894,711,485,893,886,927,159,171,969,760,020,702,807,080,
185,178,986,584,149,648,930,951,757,464,235,777,267,616,537,819,313,704,403,
201,252,671,278,241,218,747,227,367,849,580,663,556,699,622,588,792,163,842,
144,795,152,146,164,892,250,323,283,286,228,618,370,601,867,934,232,477,549,
230,761,504,893,509,704,978,991,251,799,751,564,705,553,112,040,073,866,822,
646,610,835,701,734,540,742,207,241,966,752,893,473,901,346,792,746,968,533,
844,969,925,385,785,378,181,072,790,617,174,797,982,209,373,800,755,578,046,
074,382,697,193,891,512,317,201,380,113,508,671,108,486,339,202,474,856,109,
902,533,119,837,945,767,691,022,101,344,177,682,628,156,083,395,617,156,660,
224,135,008,126,687,911,588,229,108,459,034,292,171,390,857,570,776,024,226,
226,110,523,321,481,745,636,709,721,092,890,603,675,888,208,729,772,099,047,
283,320,631,827,521,201,320,303,923,921,212,598,526,620,714,907,109,786,216,
098,080,832,677,493,680,433,745,994,270,069,445,809,938,110,577,302,488,208,
545,244,952,348,712,232,702,533,766,380,084,135,430,875,516,420,678,018,958,
444,162,832,737,905,430,355,665,876,492,658,145,048,347,549,778,539,220,385,
667,016,535,808,954,743,930,844,196,252,265,338,377,842,373,627,670,522,145,
147,141,505,951,311,725,664,666,557,596,177,958,595,391,006,170,160,930,029,
340,814,540,498,835,776,499,662,621,232,737,103,461,254,174,510,964,682,944,
009,692,288,705,997,591,945,320,194,304,536,260,697,931,783,400,892,482,795,
491,079,668,735,186,635,194,139,253,750,847,772,091,007,896,158,117,230,792,
194,470,998,223,962,102,217,298,845,850,191,420,467,999,898,061,228,251,238,
026,415,650,964,501,296,304,812,165,709,816,901,741,083,977,430,588,319,069,
979,407,987,284,610,731,693,435,128,176,091,791,506,937,363,345,080,517,798,
147,184,565,463,751,582,995,282,502,792,330,876,466,586,856,326,958,960,294,
371,789,209,272,473,481,297,052,816,992,753,179,922,654,734,261,147,817,840,
645,177,883,587,082,786,134,990,346,458,204,830,786,388,578,985,803,524,308,
099,237,497,643,199,449,089,410,055,231,300,127,137,603,835,567,823,748,608,
324,765,680,889,079,028,440,239,969,471,700,916,300,569,457,550,898,342,426,
972,506,919,881,712,317,887,268,978,049,472,085,262,804,388,357,884,980,301,
930,002,515,764,017,450,370,606,838,738,213,026,824,566,945,777,104,371,966,
729,762,909,344,113,654,489,065,119,291,109,194,386,699,138,246,515,781,600,
678,801,763,719,598,150,922,254,185,999,383,360,914,540,233,420,776,681,507,
453,187,941,447,073,084,462,919,226,745,056,282,263,695,822,931,847,984,049,
664,225,099,019,043,811,691,928,573,719,796,389,973,146,493,668,011,984,948,
024,106,586,109,945,112,505,761,482,363,404,437,411,742,559,757,479,035,807,
762,924,907,679,385,362,239,705,669,557,941,936,147,952,150,110,078,871,312,
878,975,177,512,150,703,262,673,444,871,716,149,798,522,797,952,088,956,276,
098,524,433,334,023,891,074,884,361,199,243,848,011,054,719,814,441,115,504,
353,200,628,340,109,825,278,414,230,333,753,950,005,500,087,341,815,553,092,
974,600,042,603,522,413,501,899,223,405,766,362,970,541,497,801,318,965,486,
609,067,335,983,561,090,418,764,727,796,902,374,169,851,677,285,922,680,603,
027,719,001,055,025,269,034,658,629,040,723,696,855,364,599,439,172,246,201,
922,958,917,647,467,018,444,632,390,829,662,791,340,544,138,595,327,776,124,
057,444,376,376,349,509,256,556,726,913,517,058,183,401,871,906,561,763,653,
906,359,346,589,996,352,120,327,860,351,121,848,232,322,695,822,781,201,502,
512,426,920,511,250,047,766,600,259,416,424,751,060,360,153,236,000,257,897,
394,200,443,380,468,334,007,041,342,512,635,406,053,912,279,046,706,912,155,
598,993,172,108,644,586,720,587,330,017,910,187,289,890,379,106,983,131,830,
567,890,503,075,082,514,655,965,132,079,386,619,588,060,454,083,788,531,616,
704,937,891,187,069,100,029,829,636,102,760,805,758,536,268,685,769,290,379,
600,108,605,797,020,844,690,397,734,711,483,000,991,933,522,609,463,863,731,
271,260,219,848,748,817,057,124,232,853,552,351,296,197,598,519,093,511,325,
247,930,428,997,347,515,941,449,151,217,832,723,377,784,921,350,643,506,363,
822,395,186,625,173,917,789,828,516,634,864,504,448,234,486,356,640,537,944,
259,851,658,290,473,937,895,807,267,226,597,246,266,971,163,897,794,263,502,
561,402,856,933,644,930,769,957,358,544,889,036,644,332,049,257,703,158,056,
236,885,081,075,833,851,881,729,356,612,707,284,244,456,714,145,110,644,227,
766,596,378,326,018,925,203,088,909,849,223,014,944,417,520,012,308,360,720,
274,312,318,971,067,784,911,668,162,738,169,587,611,073,542,651,587,566,021,
594,094,264,249,831,910,798,802,435,837,843,018,415,880,978,316,856,677,113,
501,710,765,615,512,157,081,628,122,779,080,823,336,507,415,816,177,261,946,
164,283,669,428,821,370,359,759,831,093,264,971,619,668,781,053,525,894,455,
724,142,900,936,763,351,806,235,786,187,245,460,981,833,469,199,107,328,302,
422,297,908,340,198,812,585,966,309,792,639,979,029,580,992,617,798,067,939,
338,232,799,916,994,700,452,563,139,414,193,723,761,427,827,612,681,524,205,
812,917,755,072,680,864,712,390,225,811,210,839,741,898,491,871,916,661,723,
944,340,338,048,531,221,304,956,119,107,393,837,718,226,910,500,941,064,513,
315,900,924,455,240,668,654,413,575,429,132,030,320,502,559,936,560,732,286,
929,507,641,241,481,689,197,312,106,783,795,855,162,049,754,027,973,159,943,
623,289,496,218,615,087,079,045,450,368,048,679,353,292,437,672,738,751,464,
265,201,739,017,690,538,355,913,026,784,756,058,116,641,364,404,738,284,756,
217,454,006,074,697,184,021,968,479,077,023,953,710,382,106,342,149,717,034,
765,574,488,741,393,320,425,382,725,425,448,844,695,689,181,939,138,224,287,
096,406,238,835,265,844,994,771,444,252,278,669,132,073,530,349,385,057,856,
499,404,483,489,245,460,888,906,199,061,572,524,192,671,550,658,719,854,605,
212,069,349,807,565,766,647,605,923,321,257,080,390,641,250,286,095,248,831,
651,005,840,228,425,952,218,551,965,425,174,787,658,822,793,043,128,566,405,
288,695,520,314,512,135,806,801,270,833,835,875,445,339,075,072,705,510,819,
222,199,152,711,930,581,846,964,651,801,440,605,637,540,365,443,478,223,215,
128,120,430,066,150,533,481,452,684,824,139,947,001,559,772,799,852,820,686,
036,689,445,652,785,562,083,831,096,583,035,040,642,223,853,716,738,361,067,
484,952,151,674,629,779,581,922,687,192,540,732,830,848,650,928,895,757,866,
019,678,906,500,112,377,678,980,847,359,752,449,982,917,875,913,096,728,987,
012,873,648,007,641,368,650,098,137,840,684,721,963,214,877,464,118,194,552,
759,715,542,515,371,139,630,768,453,613,650,247,875,681,136,654,640,454,394,
202,997,689,468,235,664,590,320,275,924,946,768,036,969,801,718,023,028,317,
476,961,752,030,671,283,634,118,014,637,022,096,148,462,592,768,237,396,443,
384,447,008,028,121,282,462,415,479,212,069,415,779,914,273,654,567,817,551,
473,006,067,551,257,087,548,237,980,960,795,376,865,764,301,477,172,399,151,
494,707,385,927,437,680,440,012,795,392,047,210,994,221,104,254,755,357,601,
345,396,648,587,764,593,819,736,324,498,789,556,908,260,317,050,267,591,936,
437,653,496,076,459,886,607,132,018,184,602,688,185,368,549,988,193,955,092,
882,000,689,016,716,058,354,973,171,281,304,622,048,397,396,110,375,788,371,
120,698,851,032,137,464,557,865,351,056,697,680,879,746,552,707,033,357,285,
339,866,641,811,710,588,631,876,720,884,106,667,865,549,887,184,542,608,394,
244,871,232,895,692,810,677,302,021,784,021,173,342,458,955,125,798,931,038,
320,583,870,332,372,724,695,158,905,870,985,852,811,327,790,529,591,402,221,
921,186,642,963,735,644,447,007,728,400,082,944,354,854,970,116,207,016,905,
907,323,938,619,338,354,280,853,035,872,263,612,800,510,018,493,012,926,407,
244,642,112,591,232,392,890,000,105,756,950,893,216,436,967,412,965,686,788,
338,283,930,195,461,515,362,742,568,959,742,888,205,370,968,825,703,773,440,
178,516,611,212,301,120,648,377,161,531,081,355,132,380,078,403,739,088,442,
165,573,212,430,300,124,762,333,435,861,378,014,669,023,623,759,649,450,183,
118,847,093,691,469,778,032,624,615,839,556,605,260,892,788,116,827,912,921,
971,416,252,631,973,054,378,562,468,298,807,926,802,812,543,192,310,433,271,
723,611,751,678,522,927,175,825,726,100,804,569,436,475,571,027,895,750,562,
847,779,719,214,879,384,279,400,924,647,851,513,052,457,664,232,624,619,152,
816,296,889,620,889,275,378,553,429,137,267,438,792,461,290,667,932,246,476,
106,194,445,177,764,524,886,771,338,411,935,911,100,782,468,499,467,480,669,
315,281,278,017,609,013,184,516,350,264,604,031,750,932,566,571,060,906,663,
488,769,859,147,151,153,651,452,063,934,158,424,913,223,732,552,475,503,795,
309,544,366,421,257,674,861,225,139,925,933,225,754,159,581,573,356,092,413,
267,880,707,652,292,490,589,342,574,979,600,513,554,601,797,821,238,665,609,
007,774,494,413,688,174,096,394,266,069,235,812,847,293,075,121,298,121,529,
338,290,681,316,368,748,729,549,008,683,862,006,007,843,018,972,099,895,450,
318,362,682,036,982,068,176,027,467,708,742,498,437,521,581,257,953,261,554,
493,621,878,929,058,905,199,765,461,906,333,943,760,019,618,401,110,843,421,
352,310,763,834,118,072,102,229,848,622,467,455,204,415,081,354,526,061,434,
214,850,667,256,331,349,179,210,827,853,031,664,833,988,737,526,364,422,818,
751,381,933,109,003,642,725,041,417,384,067,131,877,439,425,930,269,230,428,
876,965,462,823,909,110,849,112,177,113,700,783,559,945,190,815,180,301,903,
897,219,856,084,183,561,546,316,505,190,009,497,603,225,308,459,088,706,290,
223,292,399,315,691,690,294,690,980,470,369,802,947,751,914,223,898,097,339,
815,782,777,803,911,812,469,944,435,228,129,671,580,378,899,274,219,540,143,
613,976,118,114,150,673,610,783,702,284,476,225,354,983,775,667,330,468,001,
339,321,370,261,336,680,381,507,402,757,902,259,549,747,608,205,495,130,054,
444,135,488,488,945,733,163,056,526,702,478,022,227,475,683,317,611,290,568,
963,118,614,685,499,584,389,994,297,131,507,470,563,371,640,613,089,104,956,
310,114,451,527,500,456,226,881,396,939,823,861,875,722,983,729,992,654,517,
642,226,233,180,050,857,401,849,972,160,096,773,760,741,671,502,562,838,908,
927,627,440,127,640,857,321,177,078,175,003,204,239,745,116,511,756,701,600,
336,138,432,292,093,596,244,532,914,791,661,982,492,825,396,546,222,051,935,
943,307,955,315,471,321,922,731,525,656,793,344,583,836,349,838,665,261,308,
873,284,201,765,112,464,786,687,528,844,088,123,022,683,270,201,090,356,243,
117,619,552,778,119,918,963,293,340,153,303,641,986,673,137,839,804,473,376,
793,201,567,757,499,062,059,278,936,650,262,713,426,520,070,527,251,583,066,
107,685,020,381,807,869,898,747,455,634,962,803,607,220,186,382,605,954,011,
771,784,755,064,768,727,910,025,187,107,477,204,412,132,331,093,187,506,450,
957,535,096,663,574,525,817,914,744,811,605,911,670,130,905,816,906,098,568,
452,355,589,345,724,388,147,674,879,317,391,048,839,660,152,461,395,944,003,
971,222,315,360,493,889,955,952,536,557,941,274,306,984,625,740,348,051,788,
252,360,546,712,078,879,305,662,964,747,799,832,037,562,043,730,324,813,779,
511,991,179,232,823,852,658,316,935,556,333,173,049,186,270,410,198,568,698,
042,584,040,550,881,867,665,558,018,208,507,504,295,327,401,038,715,482,814,
682,374,946,074,323,664,003,831,351,332,175,018,315,116,935,732,385,072,239,
744,446,052,083,922,687,597,733,373,210,127,789,151,106,834,775,700,532,599,
611,442,443,057,517,709,853,143,495,506,511,462,007,279,104,874,888,156,496,
957,930,109,967,822,685,154,635,131,093,381,424,697,568,023,155,605,325,376,
820,464,890,716,819,710,321,888,908,321,244,133,453,648,788,802,749,198,260,
605,855,258,951,166,992,530,328,747,199,010,895,103,697,400,626,122,522,721,
685,404,340,394,448,666,273,643,027,987,255,789,679,620,400,751,959,632,271,
197,991,100,994,633,886,643,047,144,833,723,641,817,371,144,661,037,625,363,
454,521,296,185,469,120,419,553,192,811,844,565,662,109,853,858,451,507,161,
760,735,117,554,508,981,252,749,536,881,869,348,980,733,569,166,279,455,033,
992,104,302,064,837,658,333,851,392,765,144,338,601,792,944,492,036,332,203,
709,413,627,651,420,693,769,628,262,611,648,983,794,649,913,866,764,396,310,
136,062,843,287,370,147,672,083,948,095,334,903,046,923,061,532,946,035,700,
711,428,330,172,857,331,067,556,054,184,450,177,385,741,740,702,352,710,628,
657,880,915,261,968,932,389,074,247,135,315,679,139,750,719,144,336,178,650,
509,737,306,257,994,837,802,033,664,099,773,031,503,991,249,769,231,802,055,
368,792,249,465,834,233,466,548,267,162,816,894,665,043,743,820,192,691,569,
901,487,944,600,059,400,831,044,841,971,964,153,352,585,286,274,497,112,351,
137,829,851,811,723,993,134,031,617,467,068,043,028,015,509,728,351,517,515,
796,707,896,395,548,457,539,938,110,346,893,743,197,516,301,237,959,336,353,
861,580,452,127,276,186,918,071,261,731,783,817,183,215,468,689,441,642,568,
432,562,934,796,185,647,737,912,876,926,236,593,493,880,650,692,973,882,065,
720,464,225,281,051,134,883,640,714,127,688,527,532,152,888,932,077,899,674,
669,320,740,494,812,052,622,998,801,287,467,983,910,594,734,926,845,513,603,
499,699,815,715,889,624,484,951,883,646,177,507,557,565,758,343,056,924,116,
854,267,588,844,406,029,121,192,905,551,821,636,024,108,881,703,045,926,295,
910,241,543,754,549,183,079,135,736,590,835,485,163,059,338,348,675,544,064,
240,177,923,901,836,168,797,189,590,582,989,943,134,768,741,681,211,324,675,
940,815,289,405,877,494,812,903,357,015,840,678,952,802,326,096,687,073,750,
437,948,024,589,775,120,436,872,395,348,156,501,242,030,932,804,268,008,349,
974,049,539,014,494,593,617,009,964,762,767,361,080,133,748,989,954,778,133,
250,890,920,634,162,358,386,995,262,268,400,744,614,033,177,855,115,942,511,
723,546,646,921,152,046,676,955,909,665,234,144,869,809,217,657,713,641,197,
027,779,132,085,507,810,507,246,077,282,815,593,928,217,066,267,619,011,398,
990,795,503,534,448,092,512,001,575,070,477,339,933,266,172,750,476,228,744,
083,695,058,584,759,982,147,007,284,380,244,121,188,387,837,343,054,146,975,
058,491,035,056,809,060,198,055,955,066,941,136,751,776,801,515,211,254,219,
280,875,426,618,049,488,838,463,809,052,123,405,524,848,113,945,403,786,833,
645,283,242,984,948,467,363,209,585,252,312,258,304,692,285,733,187,013,289,
081,119,666,725,014,133,788,691,775,861,753,353,421,032,624,481,781,105,629,
477,780,642,327,453,067,319,835,485,333,461,510,268,110,449,355,138,725,848,
996,139,771,895,409,577,053,352,767,038,103,334,888,875,831,785,703,129,272,
044,526,919,738,535,371,033,469,560,612,239,904,430,650,053,357,175,458,053,
021,427,132,635,342,056,068,410,264,056,662,027,175,181,556,189,461,051,709,
829,098,728,445,684,948,154,867,852,912,653,588,015,635,513,222,025,022,880,
897,358,209,229,937,935,210,379,674,260,463,133,330,431,543,358,860,000,281,
862,298,954,570,948,536,915,821,779,728,174,877,080,281,018,113,513,586,619,
492,954,680,478,368,217,992,072,801,959,904,829,469,648,343,348,980,190,611,
771,409,698,317,860,517,018,163,009,847,515,916,656,983,132,428,800,166,509,
600,265,126,239,837,924,383,454,913,294,836,509,351,863,053,177,873,430,382,
694,658,810,540,336,254,306,347,047,247,562,589,789,261,441,433,708,910,659,
230,046,779,530,398,906,590,214,654,936,707,815,064,923,660,353,521,594,281,
216,952,437,740,466,733,053,764,873,920,136,019,665,388,600,195,148,236,267,
879,266,241,377,014,838,585,757,205,979,461,968,983,149,064,876,081,606,450,
096,032,958,548,124,369,140,091,486,521,088,884,508,516,344,371,432,480,342,
849,985,901,338,626,643,503,945,195,411,295,974,798,579,823,026,872,552,074,
567,221,534,170,877,503,348,002,342,389,084,062,805,754,353,572,586,820,174,
384,518,118,188,084,351,156,324,642,093,207,586,831,758,648,629,348,553,581,
266,744,526,168,011,858,322,306,992,277,511,088,836,316,568,369,287,050,976,
737,678,624,841,005,607,483,860,313,595,410,473,876,715,618,133,616,967,441,
368,147,921,072,575,859,610,943,627,048,275,127,778,524,358,247,625,453,399,
137,995,980,023,104,619,686,019,657,990,575,089,981,614,257,114,716,649,760,
619,222,970,198,586,384,715,561,110,068,523,287,378,915,703,454,691,117,131,
682,624,475,618,599,577,766,497,124,983,540,989,460,385,411,565,958,030,071,
375,910,120,674,350,587,113,153,278,677,562,318,329,823,534,146,485,707,996,
707,374,545,147,026,838,511,550,572,240,479,742,162,967,094,038,585,750,473,
581,623,501,387,755,884,872,093,965,548,666,776,089,759,059,152,390,747,738,
429,803,359,180,013,765,433,474,757,826,781,545,227,299,564,259,859,311,801,
789,350,621,324,101,937,694,629,054,570,311,885,261,476,505,324,432,561,354,
624,344,570,331,348,273,680,829,140,330,769,468,086,629,367,427,167,874,688,
656,746,162,426,812,292,523,087,306,980,341,716,744,710,045,191,841,417,769,
724,636,440,670,920,041,118,888,910,097,953,777,891,238,726,962,347,853,128,
426,620,396,695,780,363,090,481,773,773,820,284,428,283,777,333,927,446,542,
532,291,995,713,046,014,438,087,205,031,491,030,435,454,999,732,460,714,595,
987,973,902,148,192,764,651,082,994,731,391,665,868,948,626,847,988,350,564,
126,962,581,452,677,617,944,725,112,318,283,698,414,713,918,895,116,543,120,
508,673,126,771,985,370,160,066,771,852,774,908,531,671,713,806,890,154,905,
978,787,955,716,841,759,169,903,560,840,852,944,146,265,924,177,750,290,377,
514,663,720,294,881,171,891,219,176,705,192,237,266,542,293,699,006,564,519,
212,095,584,141,589,159,105,312,037,536,633,453,921,928,164,195,515,070,411,
490,312,933,300,436,714,317,863,570,033,205,239,816,602,269,077,105,814,436,
149,308,062,703,323,200,301,609,207,808,237,420,385,299,807,483,330,816,037,
148,224,169,081,105,088,123,598,921,208,552,185,456,790,928,986,953,106,632,
280,671,022,658,938,522,145,224,233,712,814,325,622,390,818,878,570,806,517,
433,770,793,909,891,897,906,787,330,023,497,636,813,255,196,487,049,014,231,
395,852,087,373,155,676,981,605,156,576,962,501,954,250,359,696,551,642,327,
503,366,961,671,671,860,293,155,897,036,765,112,119,169,960,610,662,359,691,
492,329,957,135,537,577,458,265,265,178,557,647,666,179,441,910,871,126,938,
055,982,933,155,153,989,836,696,406,296,780,694,609,668,114,385,751,966,219,
407,222,983,663,797,027,018,939,756,237,653,709,650,285,805,748,612,813,088,
009,969,132,391,246,775,422,731,683,065,241,796,771,808,988,351,336,435,891,
122,165,607,994,887,596,111,054,043,342,999,668,085,459,024,115,374,207,135,
306,372,859,689,106,524,832,703,596,221,059,552,591,843,352,853,773,233,485,
168,294,943,146,933,442,878,456,944,641,975,340,644,524,195,055,798,458,852,
738,589,806,359,963,679,515,878,903,549,045,303,849,144,353,786,688,713,557,
091,777,025,601,023,434,770,978,864,704,009,310,897,777,395,423,642,284,111,
240,709,651,762,958,977,770,802,108,283,853,231,146,147,842,984,349,919,161,
795,175,403,684,716,117,935,129,591,082,352,058,170,407,688,246,419,339,522,
494,456,035,185,216,795,928,221,598,061,761,053,694,027,486,354,887,764,085,
241,269,276,334,441,061,696,139,014,947,219,875,513,817,319,123,760,791,567,
555,432,849,036,339,750,991,698,002,703,234,461,347,623,337,842,271,168,908,
756,797,686,534,860,899,721,476,893,232,517,672,896,238,455,381,685,585,238,
740,831,324,056,289,837,320,850,285,747,635,731,840,044,335,206,097,171,186,
087,373,523,709,844,256,450,528,905,170,460,531,238,964,116,763,391,992,865,
183,936,093,746,171,297,779,098,157,520,504,971,136,523,559,730,934,716,085,
308,061,809,833,269,219,203,809,523,542,263,994,911,953,449,974,921,110,675,
778,085,598,974,119,028,234,187,176,903,867,953,479,547,285,312,941,040,841,
304,620,240,544,130,264,700,006,369,414,677,436,293,637,580,072,319,400,875,
700,528,916,752,674,753,660,881,558,841,651,014,568,583,783,984,993,532,944,
651,007,418,919,256,460,609,033,497,041,117,694,177,902,260,170,084,625,593,
214,595,738,092,112,754,277,959,388,491,712,314,535,490,581,204,546,502,435,
011,799,119,338,581,693,372,479,812,877,789,860,293,102,009,885,687,334,668,
459,990,052,638,640,636,943,503,676,343,539,169,811,397,614,065,554,163,879,
540,230,905,088,241,400,633,515,599,967,751,024,797,336,666,924,912,824,214,
174,708,981,152,120,972,026,485,788,595,317,087,552,493,741,675,998,563,312,
309,258,353,454,118,693,288,995,773,091,675,880,853,396,609,326,912,007,006,
852,342,896,200,862,243,311,924,104,225,277,888,147,227,229,739,924,569,593,
265,486,721,751,610,238,207,638,243,272,152,716,208,411,768,796,039,919,636,
973,857,764,064,347,835,345,108,633,063,471,424,293,189,315,834,040,985,419,
556,498,504,039,065,642,840,261,482,456,888,398,228,799,433,380,540,113,561,
573,274,757,742,340,303,379,907,912,212,808,255,284,966,613,741,445,796,732,
909,496,478,708,653,610,264,581,892,303,306,306,959,078,740,670,702,429,580,
216,117,531,929,801,686,125,701,066,385,097,705,334,596,725,007,025,559,306,
030,910,616,599,722,297,625,580,260,533,806,800,053,852,362,909,402,549,903,
180,751,427,821,090,489,830,059,055,076,961,794,764,396,483,951,738,517,175,
617,703,044,043,266,667,361,032,934,812,723,103,006,713,261,743,952,239,681,
705,312,743,216,947,981,862,642,930,633,964,377,851,503,433,596,685,751,853,
426,098,882,175,354,833,990,883,874,984,986,440,591,041,406,420,098,521,440,
393,705,930,643,681,586,673,799,399,301,222,694,929,668,188,128,345,894,558,
794,323,838,779,077,064,858,985,912,924,642,277,267,676,783,393,973,322,323,
739,379,164,003,099,358,865,664,437,124,075,865,604,724,684,967,680,215,128,
351,167,888,144,480,206,894,191,460,119,586,722,602,277,760,544,706,418,025,
401,347,988,020,231,112,241,845,128,010,313,506,617,162,419,861,612,202,088,
897,732,707,119,102,025,749,013,482,505,714,964,080,428,159,278,859,233,951,
185,300,824,653,329,991,804,375,425,940,756,455,231,498,913,259,546,225,948,
254,575,643,767,268,579,407,434,700,999,123,822,200,126,185,129,183,790,459,
308,236,571,290,686,048,819,382,900,529,482,278,150,094,492,524,853,392,061,
402,256,841,258,552,303,372,361,353,011,295,958,616,903,744,710,191,206,677,
369,184,253,250,826,184,457,492,421,403,340,852,582,341,425,113,548,307,647,
605,578,067,865,781,304,115,888,746,979,721,330,563,926,421,019,304,224,363,
823,560,061,727,475,728,776,259,313,262,674,412,796,193,360,508,438,953,225,
149,509,208,984,564,268,789,011,647,441,465,922,028,206,984,751,402,656,574,
294,825,699,836,745,819,135,831,924,260,354,036,043,675,182,013,910,209,160,
902,209,236,330,693,280,751,658,882,133,222,833,299,155,961,607,123,791,573,
251,946,835,141,951,506,400,483,116,237,187,679,878,643,424,334,187,045,973,
924,660,856,805,654,219,308,751,483,486,865,157,699,973,178,827,883,814,509,
568,791,047,088,708,112,646,473,918,154,387,732,319,812,983,468,557,099,461,
392,944,869,291,333,183,181,205,409,491,484,278,271,975,486,711,625,112,363,
621,719,769,876,816,258,919,495,634,905,387,196,968,427,959,961,528,040,472,
300,685,878,758,846,864,311,641,989,528,217,592,740,610,835,965,265,745,039,
178,375,289,508,159,495,485,749,406,281,109,919,693,744,143,407,008,843,734,
716,742,343,138,260,559,596,682,140,813,066,156,629,696,226,696,285,537,670,
099,095,870,850,961,733,715,790,011,180,820,589,889,204,808,417,300,705,435,
530,147,710,649,393,292,353,916,572,691,859,331,662,021,368,113,547,375,550,
572,577,093,803,264,113,247,884,337,380,687,760,415,501,831,939,183,251,842,
177,553,727,146,984,809,183,866,286,456,609,364,986,513,948,115,238,860,050,
011,075,414,196,642,663,679,819,509,128,646,905,400,354,006,479,664,956,791,
355,565,810,922,720,001,700,620,037,959,068,635,073,811,503,632,922,654,244,
089,513,642,922,891,341,924,809,933,979,893,672,903,546,290,598,664,152,779,
405,993,083,123,218,422,985,004,693,620,031,222,439,635,889,422,665,663,115,
761,359,319,997,053,126,282,977,314,403,581,356,465,501,122,646,867,518,100,
365,568,578,657,754,325,150,819,696,716,085,374,331,635,140,679,455,292,121,
591,800,417,746,072,979,795,050,311,996,983,548,784,717,266,408,182,676,900,
456,780,203,280,778,634,188,499,182,965,855,154,080,942,041,584,680,770,057,
664,091,657,963,472,090,580,974,103,340,826,443,406,108,195,637,092,950,147,
332,318,974,184,405,294,677,946,076,467,066,472,792,241,201,089,222,336,141,
685,039,680,238,103,345,644,662,384,655,719,263,405,595,022,363,685,415,238,
168,779,905,089,015,366,039,607,663,288,869,343,047,515,320,160,060,997,239,
329,011,722,089,144,457,532,038,427,829,661,422,707,653,660,408,439,582,903,
521,929,107,984,692,008,417,214,010,494,391,898,155,216,923,526,954,466,893,
479,326,644,201,645,979,488,137,447,058,561,646,675,674,819,443,625,962,587,
231,058,241,786,142,863,401,406,970,252,585,795,027,914,060,489,383,640,397,
516,911,888,305,083,011,047,157,001,919,174,424,675,969,808,575,517,419,592,
126,218,699,762,581,896,461,087,561,773,820,501,258,671,197,244,081,053,709,
791,808,203,014,866,149,031,415,722,747,661,781,269,681,433,824,074,433,204,
616,743,313,153,374,490,468,460,887,757,390,563,726,265,678,084,575,911,245,
834,864,219,588,980,775,269,177,517,865,581,457,484,093,252,636,573,276,573,
318,477,455,698,774,842,510,674,575,680,552,636,695,710,854,218,706,477,407,
497,221,050,292,352,307,831,498,743,900,660,858,199,230,727,316,004,987,392,
618,705,667,550,750,566,706,236,176,301,414,577,867,692,554,545,956,331,333,
808,116,798,221,192,193,587,609,404,609,026,744,231,705,871,693,810,506,961,
887,695,045,185,168,175,035,277,307,925,495,562,946,054,284,633,447,807,194,
758,101,844,654,438,254,001,258,711,528,041,568,734,103,039,472,888,721,086,
169,657,612,149,881,908,623,566,659,587,954,551,796,482,536,029,711,462,504,
827,712,773,728,840,274,042,749,139,745,122,178,008,298,917,350,265,825,835,
099,629,078,383,024,068,071,533,525,630,376,827,408,244,792,740,055,894,232,
721,748,477,397,642,433,765,466,563,422,895,805,128,104,104,044,473,584,701,
522,553,281,903,204,814,860,660,680,716,345,136,440,173,276,482,388,892,945,
046,080,103,941,860,756,499,032,916,735,725,543,441,805,923,227,268,973,505,
119,102,771,581,363,368,728,923,048,938,817,518,509,763,918,740,298,630,796,
049,793,052,779,030,741,367,670,555,999,902,206,602,895,929,178,489,388,727,
268,239,892,955,112,197,506,617,029,548,956,028,707,812,344,218,623,871,170,
679,743,357,973,876,430,672,853,586,046,969,260,638,557,498,797,163,600,746,
559,961,014,684,629,819,068,307,388,480,295,023,937,505,043,517,679,144,472,
662,131,551,506,330,623,367,375,958,408,273,347,631,539,959,609,705,218,909,
713,121,982,724,828,009,162,054,693,078,244,327,279,632,337,291,238,193,370,
977,374,539,969,807,154,198,472,651,971,070,158,670,138,963,985,881,379,669,
120,572,185,812,135,466,431,253,109,512,187,574,304,455,383,466,340,377,017,
012,748,092,047,521,066,618,909,914,953,568,245,146,298,231,667,608,093,824,
098,510,978,785,794,013,088,993,785,369,244,903,705,474,101,274,471,753,831,
188,935,407,667,098,720,708,094,924,677,357,277,762,258,420,067,392,257,536,
902,193,974,837,836,048,880,795,503,740,641,048,029,700,104,018,753,191,547,
887,465,897,715,896,380,340,673,785,829,653,902,927,594,958,900,171,728,530,
445,405,241,299,550,069,578,896,320,889,341,580,022,928,117,355,297,416,931,
818,745,946,296,170,853,907,147,872,674,496,628,922,502,937,140,490,232,486,
818,827,324,231,137,851,506,314,723,304,664,488,361,834,382,406,232,302,177,
036,424,892,798,803,357,086,368,896,006,154,587,916,236,989,458,775,289,324,
931,618,875,706,974,072,006,323,209,826,981,705,643,690,895,263,715,663,763,
640,056,620,332,751,260,660,630,573,665,192,932,995,847,607,596,838,649,210,
578,024,440,783,792,814,652,936,773,272,525,713,624,101,010,817,998,210,633,
824,861,328,179,976,510,193,308,098,637,841,468,948,336,667,513,423,723,849,
327,569,899,658,355,882,691,216,023,146,855,187,665,744,804,516,987,761,883,
211,834,757,069,871,547,408,599,052,439,303,891,926,056,367,000,486,826,047,
992,841,531,764,608,545,469,132,621,174,096,628,488,104,895,567,181,941,939,
497,618,237,223,370,785,567,536,710,469,720,487,481,754,693,843,559,356,245,
070,770,944,086,471,400,289,870,226,951,219,693,356,038,270,276,063,226,564,
695,040,386,730,092,923,515,437,544,249,539,815,132,684,264,372,193,651,208,
455,701,646,380,748,816,552,345,018,723,943,173,796,564,548,954,016,099,574,
264,117,650,242,274,892,035,625,423,903,250,888,467,548,549,479,496,228,959,
258,204,115,388,774,267,246,586,229,462,151,682,814,122,379,681,534,809,731,
107,248,216,536,170,448,890,010,281,728,398,731,271,276,758,587,076,442,628,
195,384,036,399,901,945,426,173,896,715,654,544,126,067,412,100,249,838,604,
156,268,245,982,060,278,354,224,921,503,385,417,644,509,273,087,853,997,091,
978,196,388,245,298,055,449,598,303,588,259,785,143,207,991,849,183,651,018,
896,480,090,246,764,143,520,911,188,045,961,218,447,223,446,342,802,115,975,
939,659,263,916,931,092,473,154,843,863,312,210,023,005,412,937,149,957,556,
302,449,857,001,368,586,431,641,025,474,001,590,430,251,746,005,072,388,253,
333,408,815,062,792,011,480,239,683,516,078,481,662,009,189,300,123,344,238,
085,286,868,264,338,694,633,298,363,748,378,902,718,077,989,336,373,265,787,
221,507,210,757,601,849,557,265,485,531,489,129,914,437,310,188,905,870,875,
640,420,462,638,189,458,874,414,950,231,682,373,133,636,632,287,013,142,372,
584,111,483,371,331,792,132,809,713,129,602,185,598,520,191,335,913,807,243,
691,652,057,191,693,620,144,087,616,847,314,269,064,727,140,823,140,695,759,
973,710,291,673,070,914,698,003,803,918,467,688,866,779,778,726,164,193,397,
901,708,643,679,659,856,517,144,834,201,205,203,734,968,129,625,837,334,138,
784,292,098,998,822,467,901,316,979,657,870,834,403,616,202,421,935,032,579,
789,705,183,347,243,337,314,455,662,689,016,909,927,063,921,641,907,691,058,
780,051,527,772,710,101,750,112,523,053,674,495,937,593,599,539,650,991,483,
348,094,935,834,499,657,293,812,565,368,054,858,359,768,997,842,831,399,835,
617,545,540,855,081,705,301,537,121,584,788,980,637,339,437,572,058,017,118,
883,468,829,295,678,421,495,868,930,873,137,418,282,977,931,631,165,248,511,
272,010,186,473,850,045,687,995,025,884,044,522,344,502,843,575,267,499,576,
884,475,987,438,795,056,887,156,311,202,683,082,286,494,024,523,740,063,674,
283,647,807,849,124,538,140,482,404,654,173,044,232,378,960,568,010,015,551,
086,208,068,245,976,780,954,750,079,624,974,564,537,639,487,925,322,294,026,
307,542,034,553,855,386,865,902,736,960,945,461,452,134,016,897,855,867,070,
697,709,212,734,512,912,153,233,521,124,541,801,101,896,908,868,154,609,061,
267,814,972,572,653,792,470,804,093,175,503,968,156,670,134,316,433,490,290,
606,957,193,482,950,719,472,042,922,525,901,121,641,356,793,947,141,353,501,
881,211,017,548,117,635,725,432,351,413,513,766,319,039,767,415,459,519,001,
592,401,202,745,491,708,462,553,017,842,641,351,814,226,660,869,405,912,808,
425,378,381,314,367,020,397,534,098,436,383,762,898,253,795,386,601,016,671,
762,590,330,110,500,685,045,755,233,223,976,971,832,244,936,162,232,123,955,
084,717,870,889,718,003,626,283,403,493,746,528,467,175,176,339,352,107,131,
181,870,676,772,294,433,448,087,532,709,365,958,223,513,942,748,100,480,100,
169,753,506,844,217,216,577,267,706,942,059,299,966,687,960,130,239,907,464,
041,057,204,759,201,075,049,148,810,399,046,175,258,551,757,379,097,885,388,
693,152,333,652,916,989,707,707,676,398,221,277,356,839,797,912,466,578,737,
495,216,099,984,763,831,534,242,887,338,211,107,534,168,539,871,210,804,401,
258,993,411,361,944,800,004,312,661,990,183,394,952,202,596,878,561,882,593,
230,289,558,675,862,230,690,456,023,942,451,276,115,403,569,488,611,550,302,
811,215,357,529,971,638,421,038,838,254,071,177,955,518,351,792,370,639,034,
839,219,932,456,967,341,675,792,961,398,228,359,183,121,788,693,573,867,133,
838,896,807,804,017,647,482,813,151,135,019,601,941,118,175,077,803,930,477,
905,377,310,077,158,288,974,314,674,656,366,272,064,760,078,755,748,938,542,
438,932,187,089,649,154,493,849,858,311,754,785,994,474,608,360,209,080,820,
405,164,883,682,194,167,254,886,392,425,555,097,527,372,053,976,535,953,845,
215,946,084,568,429,127,297,027,217,146,321,112,295,322,927,082,030,372,389,
405,041,205,023,059,311,113,739,744,128,486,244,164,137,155,092,856,076,897,
983,008,958,355,539,418,419,381,867,829,011,088,862,034,180,091,914,938,980,
508,188,211,601,049,506,929,229,067,072,191,675,125,160,300,385,155,503,639,
736,497,327,095,965,378,790,988,845,645,301,383,613,651,997,431,076,665,100,
783,201,220,385,817,281,632,987,686,571,219,442,238,091,763,057,465,460,674,
823,213,136,882,271,258,331,967,592,243,572,662,108,390,203,780,817,545,981,
325,167,432,361,902,132,382,865,364,937,778,246,710,169,969,169,793,220,236,
765,375,265,703,499,278,533,641,850,006,111,334,318,185,208,791,272,814,106,
593,299,491,720,064,161,617,194,636,938,151,954,352,823,592,959,879,198,965,
208,880,731,160,325,113,463,957,525,339,417,173,689,928,380,105,084,943,223,
118,870,127,174,672,462,543,975,821,826,500,536,643,497,164,256,667,562,159,
231,057,260,984,145,613,332,614,407,956,211,811,476,682,504,356,117,247,179,
034,904,149,677,905,699,967,379,115,272,709,648,126,112,471,309,594,300,898,
747,302,483,151,929,069,567,482,996,133,922,743,785,399,333,455,977,107,677,
864,378,260,830,443,515,858,189,669,604,400,191,186,460,970,084,150,634,881,
972,906,820,584,331,493,485,175,347,372,044,883,663,049,922,302,520,959,880,
853,858,147,154,394,603,768,178,529,486,300,953,643,118,464,529,389,254,800,
400,409,246,266,143,897,292,218,258,339,906,343,162,498,710,528,101,532,106,
099,549,546,281,612,424,447,444,191,899,968,905,849,881,515,761,606,711,960,
730,203,065,334,997,148,880,207,577,739,117,245,586,195,114,513,613,205,150,
145,543,931,199,561,369,904,541,078,215,732,482,862,485,547,423,425,691,204,
425,912,509,149,222,293,289,911,922,430,329,007,171,443,136,686,555,824,424,
618,990,704,503,069,115,911,542,616,973,975,175,301,778,752,068,252,825,212,
628,227,471,810,703,375,687,726,749,657,888,142,741,977,614,279,367,051,787,
731,891,317,785,690,744,788,909,648,050,062,374,034,575,200,169,052,768,329,
612,606,585,938,716,120,409,794,461,646,911,160,268,513,384,376,330,092,816,
532,535,139,805,250,708,066,712,525,595,039,867,609,825,172,748,022,498,659,
889,624,743,291,655,718,697,847,730,300,916,025,197,560,616,271,823,018,182,
751,855,545,830,261,642,250,945,399,467,439,873,812,360,815,765,061,879,896,
760,030,654,835,455,762,687,002,185,143,979,736,897,195,874,588,878,542,199,
641,486,146,054,456,918,233,440,597,427,189,359,021,994,192,828,161,054,464,
227,833,175,079,052,106,538,968,691,540,342,236,194,386,935,036,273,015,862,
417,059,785,210,083,135,920,621,905,342,693,353,377,654,170,809,905,846,121,
615,741,756,690,415,447,338,285,556,554,238,829,088,884,121,928,943,232,393,
083,033,798,206,492,205,801,688,738,000,994,205,439,488,045,420,250,356,804,
866,746,515,457,561,441,478,652,164,528,996,548,609,577,680,200,569,397,059,
685,287,109,117,069,181,257,465,699,715,890,829,413,045,125,249,164,339,783,
651,513,700,998,768,639,760,279,784,036,278,019,073,194,655,083,158,048,293,
518,275,711,732,305,595,999,895,196,031,402,995,988,217,866,532,415,286,981,
694,682,204,049,961,350,295,676,310,593,908,704,669,978,952,652,413,595,444,
325,438,640,492,861,837,525,705,757,547,022,004,392,609,575,929,419,148,271,
307,256,626,794,856,116,027,709,475,903,155,914,319,953,062,026,318,191,307,
832,586,739,112,314,478,271,715,586,495,680,861,445,370,782,841,781,497,119,
410,863,018,295,628,480,431,801,193,161,877,091,143,886,728,165,119,049,836,
322,392,088,552,912,628,195,527,169,583,090,883,518,420,018,677,149,465,786,
137,748,874,598,515,469,261,845,628,526,356,868,719,060,968,219,345,000,394,
450,765,862,723,966,266,370,899,013,986,021,600,756,492,982,059,330,979,272,
982,839,882,732,822,681,087,938,397,952,726,214,368,209,578,788,042,428,760,
963,294,073,299,646,551,820,619,237,237,654,491,422,048,294,544,520,457,620,
130,101,029,258,905,846,001,035,952,921,095,673,419,786,828,220,765,053,395,
547,704,247,153,878,640,071,803,344,835,357,807,365,736,854,819,604,362,470,
519,697,723,586,816,186,211,580,493,134,163,294,419,038,608,773,092,868,115,
886,088,213,507,117,176,048,338,428,905,911,030,950,823,585,715,972,216,487,
244,443,443,737,225,740,161,542,622,856,494,298,521,187,160,281,191,447,125,
486,831,944,014,865,620,285,807,480,641,032,591,209,159,435,735,042,142,995,
531,135,046,917,617,239,986,866,331,278,752,869,711,744,529,588,088,056,063,
765,179,693,957,723,781,453,758,355,300,840,501,948,506,620,852,676,894,902,
581,527,781,942,660,171,937,930,814,986,300,804,841,034,537,060,460,148,398,
564,725,339,243,119,265,278,500,549,870,766,895,697,136,102,108,283,837,563,
034,428,701,169,810,335,238,331,789,032,171,895,184,336,898,952,127,304,487,
067,255,804,210,347,163,164,213,491,441,219,374,100,088,099,935,475,407,640,
414,404,808,121,066,922,630,506,265,129,022,142,441,235,906,602,963,386,149,
344,553,711,706,421,716,739,438,145,143,497,029,784,622,077,096,189,695,221,
304,192,920,657,113,806,310,933,951,173,807,302,046,921,522,390,874,834,903,
848,195,090,317,083,861,021,237,506,983,020,904,262,633,456,146,341,275,993,
548,837,375,979,665,922,121,147,117,741,912,379,611,366,337,450,060,253,965,
419,808,408,684,293,329,843,442,877,926,485,284,012,126,426,049,765,418,996,
720,260,312,846,022,676,788,444,089,640,635,576,896,683,549,847,292,583,622,
223,099,763,160,142,617,469,762,088,221,888,334,835,556,472,080,134,854,347,
913,988,753,501,004,357,180,674,211,305,403,244,929,061,889,208,240,275,348,
367,984,354,432,741,004,375,779,442,252,620,181,243,553,301,539,140,626,676,
140,640,871,452,563,420,230,336,052,999,027,826,064,896,938,726,516,487,631,
435,305,012,840,439,303,489,493,293,066,266,503,738,081,015,271,892,094,186,
807,358,459,349,974,390,062,287,917,350,428,600,693,512,958,804,250,143,628,
613,488,255,378,835,708,528,948,783,193,773,173,933,181,417,792,946,679,328,
368,291,137,345,142,211,433,166,789,123,844,948,951,780,819,960,142,081,840,
554,909,470,083,354,372,759,068,934,733,370,419,774,614,751,005,242,381,898,
138,544,215,783,385,261,303,451,917,774,484,929,930,960,867,606,320,777,661,
004,658,260,288,315,796,788,513,135,541,243,346,332,757,872,484,146,032,404,
675,221,976,347,756,442,228,007,667,050,303,598,665,510,301,053,030,249,183,
189,070,826,329,458,716,714,256,775,754,295,904,539,917,235,849,404,838,234,
462,956,012,797,420,144,322,937,992,999,677,855,441,392,580,902,867,225,735,
044,250,083,030,578,626,245,245,241,908,202,675,609,153,512,348,795,419,300,
877,054,104,714,126,345,267,870,925,438,334,843,150,929,867,443,110,085,367,
412,012,657,590,634,787,957,979,439,039,873,313,343,021,906,444,350,231,654,
380,798,233,186,286,520,242,712,469,382,487,998,040,926,507,871,465,255,687,
455,353,264,929,753,875,617,319,769,487,110,916,031,625,909,392,004,157,246,
900,812,225,054,367,082,711,380,439,882,335,324,722,445,730,548,913,588,601,
126,743,429,174,829,709,228,347,762,017,505,706,182,377,757,322,008,920,904,
631,596,618,734,215,529,021,755,927,207,905,291,068,372,298,047,811,899,094,
781,590,819,758,083,613,969,208,810,688,640,707,535,863,284,384,305,031,509,
053,794,663,767,764,866,768,439,126,354,028,199,635,900,816,509,452,598,583,
539,394,490,487,441,916,461,309,861,069,372,215,699,014,916,222,719,943,458,
078,856,848,084,510,900,184,851,609,808,830,587,960,371,840,689,648,657,668,
752,355,842,661,524,694,258,645,463,180,455,192,184,349,874,756,947,781,370,
491,131,063,936,036,486,499,348,084,950,022,654,396,423,245,890,246,364,983,
114,095,074,526,483,457,229,373,127,557,978,693,965,564,822,135,130,114,579,
626,257,181,829,444,827,588,048,065,900,867,638,384,638,048,781,721,611,821,
777,542,983,228,805,317,520,946,550,124,410,915,936,926,812,753,044,599,190,
085,056,129,689,703,215,646,523,411,455,378,175,709,109,776,838,337,528,081,
616,972,591,048,271,983,008,530,848,438,019,180,898,747,089,910,773,205,540,
570,053,657,325,882,877,388,901,278,244,640,001,189,060,722,337,028,345,412,
605,458,643,482,266,353,151,948,620,081,707,606,754,889,964,289,359,640,990,
395,122,300,439,692,706,547,297,088,258,728,027,306,699,615,378,599,134,453,
031,550,436,247,726,876,739,344,660,546,242,359,699,084,955,294,365,112,196,
462,996,197,623,398,871,561,620,177,977,342,582,065,157,384,791,838,970,735,
519,782,890,869,029,559,537,123,151,067,945,944,537,971,036,994,572,184,306,
317,188,878,447,070,433,956,474,708,807,311,808,527,085,216,212,925,862,181,
616,842,212,329,638,849,841,735,296,842,924,427,800,785,587,994,216,093,033,
386,158,756,908,836,398,815,988,270,806,519,387,286,843,007,564,119,182,688,
773,931,131,921,089,348,355,120,554,783,926,337,128,567,945,024,266,024,280,
295,380,771,051,624,793,696,454,648,068,981,270,781,602,536,927,713,187,520,
025,375,937,201,257,207,143,090,537,391,579,950,367,250,551,640,820,260,926,
169,795,521,472,713,674,430,020,520,741,092,789,422,929,534,270,370,403,921,
320,192,932,666,384,444,343,680,897,884,682,607,339,000,802,677,058,812,438,
879,669,370,279,593,261,155,183,535,035,296,214,988,737,065,624,279,001,968,
464,396,382,499,629,891,215,764,332,309,671,870,498,235,384,994,608,980,771,
351,561,170,011,979,161,847,264,598,168,745,697,118,280,533,311,326,433,435,
155,674,176,456,939,691,299,782,221,181,718,362,120,040,013,897,942,013,761,
066,215,834,631,743,633,199,381,694,015,774,732,779,909,342,595,922,243,672,
640,935,324,319,973,251,519,594,978,069,475,340,089,071,860,271,725,022,618,
357,900,868,152,426,733,904,750,880,776,397,605,046,027,516,398,044,793,807,
755,170,274,078,242,024,596,762,976,106,302,735,889,062,176,966,127,293,898,
247,221,627,130,684,689,603,746,512,954,237,869,144,391,563,019,369,763,856,
538,082,076,291,388,851,397,335,295,206,208,072,340,138,369,272,856,303,168,
073,658,898,577,651,478,635,862,185,782,892,820,071,440,454,424,739,084,295,
099,331,034,326,527,568,068,412,330,908,101,964,897,097,922,098,497,208,548,
524,268,406,472,012,603,433,879,388,352,806,307,469,304,327,050,368,571,556,
356,271,864,582,195,180,949,145,715,513,275,083,331,154,527,481,693,665,327,
020,664,838,687,102,405,386,641,026,923,474,808,009,903,392,759,535,716,819,
485,173,573,319,299,269,075,669,528,000,423,671,303,454,414,940,459,524,661,
302,145,069,089,202,745,228,809,336,824,910,930,637,113,020,414,605,437,054,
076,492,866,881,499,097,733,077,360,430,298,730,434,674,048,467,682,509,306,
404,535,545,580,272,917,843,281,478,390,811,406,272,145,744,846,940,209,990,
908,961,631,173,899,168,588,976,262,270,034,578,628,090,518,982,489,941,758,
628,374,434,398,177,356,259,880,403,580,588,420,720,074,681,304,878,833,144,
169,147,910,674,873,615,398,287,384,357,217,636,836,007,324,712,080,330,268,
631,751,282,912,874,737,124,409,317,225,811,614,259,955,265,896,335,348,992,
999,764,150,354,572,675,249,259,950,098,069,496,471,499,151,301,885,697,260,
000,479,820,469,960,212,113,640,778,865,436,785,963,723,733,385,549,176,223,
339,207,914,215,089,720,491,303,090,726,998,926,942,168,765,078,467,102,357,
117,629,824,391,198,845,912,975,604,211,492,585,514,274,244,085,134,851,247,
814,769,796,300,102,306,346,772,888,463,580,110,211,216,845,319,205,488,261,
650,229,793,102,263,482,794,939,855,390,232,627,734,791,618,662,349,278,944,
444,434,163,306,919,245,481,067,317,437,744,361,507,645,963,527,535,214,934,
467,526,556,744,249,684,088,409,915,859,820,420,085,699,271,157,510,143,378,
507,756,913,759,898,121,962,970,418,249,741,151,979,798,160,878,465,750,107,
918,570,846,592,785,538,143,074,673,503,778,726,017,884,394,280,577,251,904,
110,721,267,753,001,756,916,318,979,398,397,522,554,878,794,331,833,413,008,
439,570,411,780,776,574,288,893,873,113,524,091,044,560,454,867,448,724,125,
002,856,513,642,022,927,017,767,069,144,007,005,590,083,167,366,107,821,245,
357,696,604,502,494,725,525,400,350,248,946,290,176,040,214,451,924,135,134,
231,647,186,678,735,892,151,238,020,082,555,693,422,084,579,528,578,749,638,
096,390,616,980,912,661,109,458,721,331,197,719,511,875,699,848,329,122,446,
969,016,894,649,900,210,804,413,552,507,666,344,348,082,907,806,988,140,366,
748,107,178,051,090,873,394,609,833,888,404,388,460,994,293,527,507,303,714,
423,971,871,089,693,971,993,684,991,923,460,537,422,916,895,497,720,537,130,
900,284,902,355,746,055,414,316,981,758,018,851,484,754,842,751,052,489,990,
108,306,035,452,268,040,864,426,037,083,364,616,099,310,151,020,392,779,389,
658,921,470,485,316,328,244,677,060,230,184,132,651,380,569,985,250,107,742,
981,838,844,800,496,341,584,192,566,560,939,066,037,286,284,362,237,202,885,
123,679,265,013,285,176,756,234,813,857,344,585,285,608,583,346,654,533,546,
111,290,165,379,917,899,723,116,593,884,122,068,777,965,520,876,845,996,490,
091,365,471,289,758,165,022,842,518,140,364,539,732,619,273,032,896,623,717,
886,000,895,301,137,322,716,096,305,447,450,224,485,355,169,894,349,104,848,
850,997,918,499,431,460,122,201,945,081,285,722,877,778,457,489,558,271,943,
974,955,567,117,565,776,514,199,697,761,483,394,827,759,669,075,215,785,759,
377,947,851,577,021,905,649,887,256,645,219,731,441,712,362,287,901,202,743,
022,288,389,201,108,269,294,133,792,924,939,539,901,972,615,514,494,181,476,
978,120,345,638,550,730,230,728,407,545,802,936,528,143,534,218,908,581,167,
786,636,979,414,994,320,692,207,236,045,978,340,142,630,142,070,042,884,201,
066,205,533,504,653,624,751,877,706,322,374,321,497,428,622,086,253,273,148,
744,915,261,416,483,550,878,079,716,341,805,330,753,430,918,576,546,386,082,
401,664,379,320,943,582,714,271,411,838,287,062,776,336,177,668,769,710,898,
410,569,628,391,929,966,475,235,239,231,185,387,639,922,983,342,178,162,801,
026,823,985,747,961,621,206,083,137,473,089,661,492,599,175,923,999,262,833,
634,891,022,553,300,260,493,429,909,274,034,713,718,679,863,636,514,461,726,
109,784,764,357,194,203,423,343,594,096,107,796,102,640,132,504,819,488,327,
355,531,120,580,994,254,684,258,190,198,482,983,146,727,697,453,339,864,199,
732,747,284,206,942,467,635,219,361,899,371,501,448,038,847,188,539,485,015,
175,010,314,278,059,267,947,886,976,933,034,482,515,488,977,855,347,249,836,
444,357,092,281,529,946,150,488,514,422,170,086,497,378,844,807,380,289,773,
087,035,520,749,303,478,565,009,490,746,156,355,794,635,827,990,295,124,831,
837,294,426,694,910,409,756,756,698,406,717,502,605,884,056,984,584,444,565,
372,197,499,961,427,229,438,799,622,634,813,174,516,521,629,859,145,956,918,
995,303,048,447,790,437,788,448,631,754,297,373,070,093,071,515,389,131,714,
158,481,980,189,301,899,229,547,069,528,784,998,477,410,487,586,666,545,073,
244,070,718,690,850,541,397,552,951,139,377,079,008,492,042,194,020,347,529,
009,665,234,384,099,557,493,795,982,352,937,013,650,494,784,351,536,044,986,
489,081,055,900,787,721,809,731,565,097,751,601,120,574,619,481,887,163,283,
244,944,031,633,266,032,540,154,776,519,827,166,873,897,438,627,196,117,807,
475,775,849,145,450,843,023,468,589,793,435,661,989,715,278,467,410,920,707,
033,124,775,274,051,577,236,140,966,709,259,079,444,659,147,478,638,484,037,
635,157,892,991,145,677,877,881,579,505,862,995,214,682,650,269,851,155,918,
321,988,624,780,751,497,400,552,758,664,136,861,419,391,832,338,366,707,463,
508,510,667,940,745,657,016,156,404,363,513,613,656,672,046,974,690,790,614,
414,443,076,547,608,586,350,401,928,950,881,893,140,277,375,439,933,945,463,
502,344,242,324,990,823,097,495,867,975,509,474,046,285,833,858,241,873,151,
324,497,982,380,849,094,025,794,598,201,690,188,990,037,946,059,125,294,386,
000,562,269,801,972,492,576,502,124,614,751,041,211,095,626,085,890,576,597,
046,603,558,599,430,779,201,189,815,202,401,666,247,296,299,872,561,880,385,
270,377,960,503,524,067,578,369,919,081,487,062,179,662,638,540,222,504,958,
173,697,341,169,294,614,043,215,248,209,059,130,273,756,146,445,054,876,030,
272,804,630,561,633,893,132,660,207,251,221,401,116,592,502,962,560,375,441,
813,474,571,859,916,860,147,606,476,026,470,355,668,145,638,547,695,070,873,
192,018,919,827,686,350,804,424,083,015,917,679,033,583,439,018,539,921,429,
687,057,448,654,077,389,522,709,251,289,235,345,695,088,291,755,011,934,673,
333,635,931,723,343,228,216,055,482,329,236,337,898,787,970,836,416,514,585,
660,356,391,104,105,068,363,900,169,573,962,915,491,278,303,466,064,649,008,
404,412,040,513,368,879,209,456,363,907,203,436,893,766,707,202,196,166,655,
394,969,332,142,952,037,856,100,786,896,922,763,172,994,709,108,454,090,076,
493,454,101,368,597,659,503,462,806,944,023,084,301,654,788,652,098,879,035,
222,835,816,759,758,093,826,285,488,844,413,103,313,473,018,072,255,535,979,
242,661,491,032,038,130,506,789,943,411,038,016,206,587,584,526,128,060,272,
991,215,619,321,513,955,195,258,619,329,614,302,825,028,677,858,952,805,983,
250,374,122,032,115,993,939,062,104,906,268,964,792,466,037,426,372,992,816,
836,883,641,037,843,248,385,998,060,343,194,750,620,893,460,785,761,919,539,
604,971,942,427,921,138,706,329,390,819,930,876,294,735,526,388,219,135,597,
213,034,174,827,206,414,910,232,875,164,863,895,860,866,961,781,349,859,674,
404,146,933,439,219,092,666,603,989,535,467,094,737,364,684,347,052,326,156,
004,048,224,650,268,002,946,476,564,540,083,219,703,171,495,860,687,472,787,
051,906,664,891,234,883,100,372,108,567,071,336,845,401,467,919,215,907,488,
109,370,596,653,898,260,761,812,111,600,449,000,359,495,314,864,010,681,209,
239,693,564,084,276,283,002,363,705,317,812,835,828,786,132,229,780,833,096,
872,924,771,903,885,931,297,666,351,377,456,536,062,188,955,094,807,858,898,
346,043,921,455,176,624,533,099,537,965,232,065,390,126,097,227,124,387,087,
622,612,901,092,027,616,412,375,103,563,200,909,218,501,108,615,408,508,576,
760,653,797,154,689,695,883,969,566,203,928,786,740,820,279,532,808,659,023,
175,635,089,027,461,044,016,202,817,775,435,969,435,010,337,742,756,003,101,
537,140,694,235,859,211,540,549,990,847,292,085,054,285,463,866,725,456,052,
209,388,302,560,279,712,637,013,887,823,584,927,860,887,210,243,295,422,858,
618,737,207,780,700,220,483,919,482,525,446,943,019,117,434,477,157,963,379,
174,365,902,326,348,067,111,224,312,390,801,744,633,948,691,657,383,211,349,
535,770,017,221,797,659,569,602,418,701,982,410,761,451,875,457,433,000,387,
223,206,314,043,866,633,559,273,394,502,373,464,652,389,842,188,313,913,305,
999,827,556,604,146,678,476,790,175,293,711,126,675,212,280,486,501,889,699,
904,769,503,416,591,660,426,204,938,594,014,288,104,170,343,707,402,276,785,
328,053,307,749,210,492,596,459,169,521,811,399,785,315,839,936,099,121,210,
402,631,378,640,471,151,680,403,904,230,435,561,125,762,729,696,449,163,376,
388,144,375,930,772,496,497,850,816,885,897,394,059,294,827,597,623,781,061,
113,726,846,581,652,807,261,678,173,555,374,980,160,929,249,482,850,245,868,
374,851,329,659,498,598,671,980,460,953,190,479,421,392,031,377,723,279,195,
513,951,897,664,120,567,057,936,254,770,527,480,067,646,223,113,501,329,692,
800,958,784,816,607,654,101,105,379,312,144,535,626,523,682,787,795,758,643,
053,220,380,393,122,520,757,971,291,500,412,060,796,392,660,162,773,453,730,
717,906,358,215,226,841,459,201,840,301,359,048,763,782,684,623,412,837,899,
083,615,312,129,770,131,967,284,851,686,210,652,527,563,873,751,145,339,168,
271,518,162,129,327,070,629,891,988,322,701,749,608,615,491,489,784,358,039,
673,221,534,637,786,972,118,141,401,622,571,503,939,905,754,227,107,380,519,
171,664,323,168,755,549,716,510,675,164,931,536,102,073,187,268,081,773,283,
290,554,966,960,952,104,844,262,749,600,444,185,371,933,223,034,991,230,262,
259,934,233,321,940,460,846,966,254,724,451,616,638,116,463,697,742,181,839,
139,519,341,390,021,434,712,114,844,113,820,587,346,555,960,748,361,204,760,
870,479,816,975,685,062,499,110,997,176,049,710,949,242,957,385,753,695,790,
527,640,760,057,686,511,222,724,249,285,040,295,383,089,253,084,252,464,935,
895,235,444,945,947,400,724,957,652,375,481,083,342,311,749,804,493,864,714,
731,140,203,939,537,851,682,939,995,247,092,461,756,663,156,025,175,133,031,
942,750,569,393,317,509,471,209,597,077,304,600,688,691,778,185,957,910,538,
601,239,846,721,421,379,502,259,017,055,267,381,708,056,511,372,546,710,921,
605,505,544,692,696,859,096,327,406,532,628,942,724,828,269,478,308,386,287,
177,901,530,254,851,705,386,028,293,379,061,434,992,827,676,332,753,598,211,
588,420,470,422,751,774,895,671,305,603,978,056,311,887,029,642,887,616,821,
278,289,668,198,313,944,929,559,502,663,512,440,940,447,523,800,586,087,999,
862,115,451,956,003,967,031,446,147,072,772,282,459,161,204,711,512,613,938,
979,986,435,865,053,166,855,832,217,736,667,274,780,310,621,401,735,680,070,
383,323,571,123,278,678,085,984,810,764,960,648,772,309,349,787,273,001,551,
202,806,260,472,448,949,671,247,003,939,074,720,433,293,712,754,417,012,669,
667,660,962,571,730,369,832,794,056,389,162,592,275,530,478,789,371,644,287,
143,969,261,518,019,865,206,097,304,754,379,691,550,158,290,094,755,736,225,
497,866,067,562,322,824,301,058,950,552,711,441,250,628,351,550,185,240,446,
208,656,278,905,570,329,013,962,682,508,828,616,251,483,918,929,396,917,064,
006,577,312,283,384,084,049,473,609,569,470,468,833,539,259,263,375,899,046,
963,442,755,428,019,911,366,503,810,111,648,457,773,843,477,672,853,786,850,
918,253,203,927,790,543,348,317,291,270,923,066,346,508,626,591,454,142,787,
669,443,941,576,303,475,797,085,985,624,821,484,855,633,233,392,392,906,272,
702,562,932,145,531,013,824,141,715,084,573,024,032,214,492,210,353,718,876,
310,159,512,044,396,631,756,906,743,648,043,031,127,970,766,714,004,502,462,
239,258,368,073,306,093,929,666,916,026,728,688,832,732,563,715,239,856,111,
058,332,423,066,126,342,394,033,233,216,038,599,843,770,669,772,367,300,881,
656,627,573,244,963,225,613,900,004,165,556,316,639,647,807,351,766,375,690,
953,881,560,624,397,898,728,158,189,304,770,777,561,164,685,947,343,035,117,
285,237,858,955,581,209,930,057,192,365,693,705,716,362,754,014,479,034,582,
480,087,944,762,533,404,724,246,366,357,802,749,592,820,133,825,250,004,330,
709,797,741,287,362,690,437,485,141,228,174,576,398,920,414,315,779,837,223,
571,028,606,234,907,752,733,550,906,088,647,449,651,077,235,583,972,550,043,
942,381,079,503,131,635,359,310,122,203,829,893,925,152,434,805,337,093,663,
885,831,949,559,829,789,950,966,005,709,076,078,139,356,035,271,900,483,568,
032,223,765,426,757,112,993,803,683,281,577,020,795,394,064,929,839,595,377,
572,258,770,894,387,133,011,385,319,548,454,497,650,839,629,389,121,905,637,
883,006,754,164,412,282,487,261,819,297,967,631,678,104,203,803,485,832,386,
951,001,207,694,309,124,291,758,232,745,623,968,801,178,520,715,939,298,149,
051,495,350,044,512,040,005,254,891,494,508,411,311,204,067,080,648,519,670,
381,711,533,112,106,296,301,038,924,712,425,201,006,054,001,416,954,508,038,
387,233,615,482,288,624,794,018,596,262,725,815,834,838,919,664,239,766,266,
991,568,989,661,444,070,483,941,799,232,245,460,152,373,142,810,856,382,770,
299,300,857,483,976,495,543,136,931,929,490,319,801,960,226,556,340,256,209,
735,456,320,212,538,757,582,411,013,532,364,472,901,594,979,557,416,830,135,
164,273,217,153,521,549,259,987,529,763,855,482,132,575,123,503,039,278,313,
628,942,979,178,727,907,164,759,971,814,349,159,069,161,305,817,898,583,972,
515,874,648,907,238,727,541,531,662,483,017,532,388,653,133,939,534,065,176,
468,729,720,141,774,780,072,767,475,407,645,790,838,030,374,286,858,778,659,
400,517,011,952,931,304,091,485,512,160,631,164,093,840,542,283,756,552,000,
611,326,009,710,087,401,200,261,374,428,021,072,596,415,687,884,169,093,056,
984,860,138,885,744,586,043,337,897,032,768,144,810,024,908,764,089,609,538,
975,989,790,969,861,613,360,814,541,749,074,228,958,009,549,034,495,012,406,
911,681,729,041,822,026,589,696,912,785,867,579,188,364,100,109,321,808,324,
503,974,372,402,583,350,116,774,959,229,520,044,903,958,677,025,622,435,267,
136,545,319,416,610,868,441,025,756,171,333,149,033,822,726,953,705,207,123,
413,199,340,462,424,448,586,598,431,304,992,309,902,910,303,729,024,032,257,
897,364,044,682,140,008,061,155,827,257,605,103,766,230,962,155,386,534,127,
716,762,859,526,317,159,582,629,554,275,563,689,398,644,169,452,428,754,986,
286,184,064,405,485,133,454,144,706,225,394,538,062,525,081,331,597,591,886,
944,874,016,510,613,257,220,158,529,964,321,916,764,802,603,605,615,524,175,
756,501,163,154,986,463,872,223,620,369,316,853,492,205,402,584,561,827,150,
118,905,598,040,104,289,837,160,560,524,253,163,913,391,315,504,899,538,864,
040,911,202,222,204,871,734,475,025,954,755,522,501,927,820,781,976,991,822,
901,669,085,997,536,364,927,253,394,293,427,558,414,385,578,551,228,292,941,
476,097,222,745,073,995,998,768,624,258,504,029,054,928,179,495,109,290,347,
786,987,925,400,454,287,368,348,463,444,096,764,821,224,641,480,391,474,548,
439,046,949,086,871,115,720,503,744,812,645,205,607,089,934,467,664,507,112,
639,326,692,973,461,911,965,036,240,287,646,313,894,675,463,692,483,188,400,
072,297,386,184,304,562,507,311,848,271,970,660,190,435,954,852,520,594,083,
909,592,481,671,639,375,776,832,484,583,331,503,611,331,650,314,190,217,708,
755,241,595,195,821,601,826,411,921,797,650,456,812,422,853,555,907,267,540,
107,073,866,860,972,876,366,262,893,677,621,330,165,154,311,105,911,039,571,
634,725,633,171,659,505,551,604,286,507,648,601,546,715,907,860,902,289,964,
310,805,684,727,391,283,481,364,727,197,737,050,958,443,994,092,495,730,295,
858,464,640,598,855,591,075,320,833,497,287,768,017,317,615,553,559,851,193,
075,140,068,951,694,538,133,396,974,021,681,377,501,698,722,283,968,649,358,
539,899,517,725,121,332,961,615,920,062,250,470,519,472,394,542,392,906,220,
640,251,915,664,862,502,808,620,246,200,314,107,567,557,168,388,428,792,359,
477,057,763,967,424,733,343,574,054,832,647,041,665,352,607,114,477,596,835,
973,191,442,162,427,319,214,003,664,846,774,727,197,317,397,365,267,527,570,
990,403,431,936,097,072,131,665,288,048,307,506,723,685,361,596,798,116,912,
998,343,327,475,505,976,753,955,465,500,858,972,199,057,627,657,992,999,227,
770,728,986,942,297,804,955,499,997,316,176,201,938,936,099,758,701,718,169,
033,068,832,107,454,692,440,976,447,907,210,101,241,979,352,325,370,855,359,
993,137,981,790,530,156,349,692,136,871,888,449,654,705,844,403,777,876,944,
438,105,173,712,443,304,053,880,973,981,954,024,993,958,902,594,660,829,665,
905,030,262,627,469,065,472,649,757,427,572,976,687,418,916,350,522,350,849,
297,908,627,641,472,878,403,737,562,965,220,221,115,442,995,786,127,248,190,
059,584,867,908,232,526,069,935,400,784,249,107,086,811,104,745,252,796,113,
056,788,750,032,094,083,523,458,688,815,544,434,105,055,413,617,952,703,698,
213,265,040,832,091,153,131,612,664,084,144,505,880,921,436,579,105,642,268,
941,126,201,987,408,513,526,230,399,094,200,914,783,509,126,395,445,246,852,
820,256,434,008,038,501,993,049,915,805,202,569,846,246,862,438,219,736,613,
610,912,275,599,556,225,682,403,314,338,281,488,635,626,751,459,388,705,043,
282,833,016,967,513,013,591,492,444,862,008,793,653,740,477,026,686,652,518,
367,209,002,869,064,053,402,790,552,221,410,354,722,263,063,510,392,734,039,
820,933,500,474,300,754,066,613,421,633,854,426,478,130,282,350,268,615,686,
467,998,580,816,674,634,586,792,086,701,555,012,925,508,727,028,153,834,161,
018,179,746,559,376,346,573,498,297,270,722,030,826,097,234,828,560,080,023,
239,030,978,946,768,589,425,933,269,433,479,067,757,707,717,938,439,164,303,
346,410,888,565,101,770,950,648,275,411,697,931,060,502,593,802,231,112,464,
853,575,833,894,972,345,099,385,927,407,674,003,693,277,531,979,837,234,855,
888,175,679,529,480,430,888,354,415,107,747,685,880,298,876,618,960,292,768,
309,419,480,744,506,869,906,392,890,061,277,280,636,980,815,733,400,634,537,
093,086,693,643,318,463,161,798,173,233,902,476,394,590,320,769,923,557,841,
433,192,381,570,778,012,178,112,400,972,530,702,552,554,991,521,750,924,994,
620,839,924,677,320,196,670,826,244,620,932,292,930,165,208,085,606,518,656,
507,019,857,557,059,587,937,229,142,978,279,313,782,768,568,659,839,406,563,
589,885,578,127,387,291,293,960,774,277,203,296,952,160,410,441,066,131,506,
452,349,657,432,681,603,008,681,645,553,090,867,615,796,205,598,490,827,305,
964,957,776,314,911,602,464,379,207,330,307,077,541,794,363,565,491,171,226,
371,656,190,392,597,173,985,312,492,411,289,642,943,330,601,825,356,079,798,
043,337,643,054,926,287,430,794,138,069,765,709,996,251,422,012,658,665,237,
254,264,909,291,232,041,277,578,255,540,832,119,533,252,593,037,312,434,985,
223,401,807,071,477,189,791,004,408,318,065,459,979,819,795,096,208,348,434,
139,624,953,609,024,277,995,756,243,741,155,528,240,930,298,799,332,410,335,
398,310,681,758,792,718,577,477,402,327,815,211,881,064,561,110,987,313,673,
180,216,803,034,930,202,886,435,343,952,158,811,362,624,290,928,324,157,015,
469,739,625,359,597,102,442,374,927,929,409,214,236,948,101,062,525,673,599,
928,171,419,115,513,872,997,822,425,510,785,827,478,566,685,640,331,741,382,
906,417,221,225,178,206,452,305,428,262,782,957,374,973,789,063,541,630,541,
247,438,556,872,690,247,272,223,748,252,111,163,584,880,095,158,315,274,260,
738,014,930,386,533,742,080,894,805,364,869,947,810,061,173,942,225,054,257,
590,912,656,001,500,989,924,618,585,915,094,403,206,163,767,543,966,247,729,
909,343,657,143,887,862,444,365,827,736,191,496,080,080,152,889,816,999,831,
849,493,170,373,476,042,353,156,610,783,746,241,855,245,502,256,983,952,523,
985,136,125,210,643,792,232,410,470,590,845,682,202,393,377,909,271,951,717,
012,148,068,618,829,047,921,217,845,641,928,503,942,715,773,406,009,174,784,
620,876,098,370,300,969,857,448,025,847,196,999,272,191,646,612,896,020,260,
956,909,528,211,663,022,886,657,317,354,321,205,602,156,846,554,980,516,201,
311,433,066,048,887,394,719,340,908,341,122,411,037,235,211,256,675,992,392,
576,330,939,779,775,838,827,013,305,609,947,989,722,325,267,947,342,850,860,
618,943,975,958,572,654,360,651,660,029,109,349,554,590,516,303,346,228,439,
721,291,347,341,485,852,264,916,473,882,641,152,200,075,295,806,002,094,002,
379,788,566,672,379,469,278,440,541,103,816,714,517,553,360,450,134,764,033,
922,223,846,455,360,820,647,630,845,273,114,400,730,291,097,783,507,633,719,
974,569,894,768,381,867,756,399,107,454,758,555,782,988,182,651,231,415,481,
331,277,621,477,338,573,109,938,641,699,995,826,022,240,134,624,741,086,986,
035,033,357,024,067,372,156,840,137,984,280,869,010,711,275,167,551,967,755,
978,869,307,945,249,042,008,579,561,903,878,478,931,967,715,746,284,127,600,
976,716,526,683,287,149,001,848,415,196,905,884,672,986,432,519,862,133,035,
762,389,464,809,681,798,328,828,383,336,384,354,224,916,606,977,710,603,640,
960,823,490,705,054,100,537,705,954,002,850,197,488,968,987,172,675,160,196,
168,938,386,145,093,630,422,198,077,096,885,059,232,439,464,206,216,755,669,
931,974,403,053,141,914,950,804,043,652,419,760,579,968,969,818,034,108,882,
632,218,011,305,186,147,389,141,422,470,696,632,875,466,628,387,445,623,167,
473,178,654,152,155,371,315,687,693,792,461,057,275,302,607,526,183,599,638,
468,055,887,323,325,131,094,417,804,987,437,720,952,897,167,418,726,087,926,
205,157,864,593,703,932,152,881,193,805,767,384,751,908,729,631,336,534,870,
692,877,777,326,974,110,786,951,999,494,967,187,981,313,079,703,908,295,259,
863,322,039,527,510,669,704,634,304,148,875,101,754,436,533,160,673,541,691,
731,982,158,644,522,555,648,177,161,328,193,515,356,609,666,372,001,985,346,
710,989,506,838,168,522,140,769,807,160,820,563,637,809,233,946,416,054,974,
992,689,761,324,016,598,522,468,618,087,434,012,941,933,632,524,575,843,915,
137,894,296,673,320,982,589,088,949,075,173,085,328,491,810,173,682,194,487,
928,271,372,802,254,157,880,450,649,140,804,790,213,180,679,285,016,240,668,
994,573,680,777,368,389,022,593,625,150,583,171,446,619,768,101,391,172,537,
261,568,866,138,994,436,829,408,705,767,675,046,012,476,567,383,055,372,623,
325,503,315,084,657,606,319,310,125,361,295,187,534,461,925,788,901,233,738,
819,558,167,648,299,823,101,286,341,483,023,335,225,079,753,672,824,678,311,
027,626,171,314,742,091,259,442,297,350,987,886,979,098,321,688,647,155,228,
441,736,443,943,611,836,213,592,936,997,182,282,985,272,241,295,935,955,143,
491,776,823,803,846,966,053,533,676,455,655,301,644,718,158,191,932,831,817,
281,084,106,973,059,393,074,632,390,924,228,214,680,743,698,634,927,220,660,
542,490,953,295,274,751,528,426,402,462,902,202,623,076,446,914,040,998,807,
242,534,643,009,809,217,441,209,160,757,129,267,848,027,794,499,884,469,191,
466,411,476,855,444,776,255,741,774,591,355,229,174,639,435,626,621,889,935,
696,027,274,524,034,173,246,085,501,805,181,828,945,064,821,305,489,113,779,
805,417,310,459,262,369,826,347,301,642,882,987,016,951,216,127,495,931,524,
225,574,397,598,161,585,920,096,697,614,074,269,172,768,385,003,039,805,497,
982,947,702,053,113,898,682,049,776,449,103,507,101,451,292,727,105,052,826,
808,049,662,660,354,487,537,336,695,249,020,004,271,586,272,358,857,211,914,
052,391,629,124,238,760,822,127,625,658,002,335,953,030,720,854,824,846,819,
227,411,619,667,593,666,148,982,713,302,325,312,024,839,765,864,335,669,346,
911,037,091,558,427,185,716,615,734,872,223,903,909,021,851,867,120,882,391,
728,943,132,499,246,034,975,198,906,071,062,164,043,110,078,048,283,709,794,
652,269,376,684,229,378,839,118,153,071,481,873,339,387,949,517,488,179,599,
390,371,348,422,174,616,980,193,254,543,838,642,807,575,732,337,639,164,274,
825,131,935,188,844,683,709,817,288,538,454,616,039,937,602,903,957,563,179,
667,695,782,906,602,842,938,775,169,006,930,287,735,890,423,232,688,611,959,
928,946,944,696,571,279,371,429,429,206,331,203,728,055,888,434,005,301,900,
749,235,669,727,395,341,106,318,256,499,849,369,007,772,709,263,625,609,241,
820,237,580,747,263,970,114,179,490,293,632,351,628,347,565,498,711,962,155,
729,950,708,353,009,173,954,150,290,068,111,125,378,671,948,033,799,598,338,
140,716,346,503,011,521,282,940,342,841,484,986,675,284,601,215,669,089,456,
471,218,068,480,105,799,202,556,489,981,728,707,822,120,766,140,352,763,365,
835,684,927,683,003,574,156,477,979,940,756,753,943,510,646,399,126,937,678,
151,667,651,120,434,462,549,211,161,950,834,707,603,645,107,870,183,283,768,
398,653,330,884,209,304,375,382,788,561,815,692,674,216,616,874,835,608,197,
724,804,942,522,228,163,260,832,900,268,311,264,525,093,429,620,352,349,517,
173,191,965,842,436,055,398,624,214,008,814,525,326,389,490,886,151,013,364,
782,699,146,416,450,700,376,998,420,165,766,438,144,922,393,281,793,125,861,
565,820,509,931,723,907,994,335,633,489,898,204,170,024,352,611,779,054,655,
738,943,707,008,038,982,777,290,072,797,901,808,078,257,236,100,211,911,249,
248,958,282,423,455,120,180,025,524,783,366,988,083,328,297,192,867,078,083,
714,318,716,419,771,059,362,350,211,337,470,977,935,668,675,718,457,999,985,
663,234,048,246,188,376,184,633,825,860,023,676,115,560,251,195,417,951,752,
184,679,231,312,417,323,136,434,380,273,487,445,992,212,601,231,352,049,232,
355,407,901,067,432,470,061,033,587,931,903,882,286,013,927,250,702,648,456,
744,197,257,097,759,117,796,190,917,376,541,554,271,778,360,366,514,084,005,
598,129,631,117,108,598,680,045,175,242,318,077,538,005,847,717,503,962,902,
390,511,188,021,631,137,841,898,388,259,239,229,303,614,734,372,818,590,369,
205,447,255,463,451,302,730,123,516,539,314,109,765,889,246,474,398,121,568,
481,005,625,769,958,886,454,463,948,023,206,346,578,241,534,939,717,065,994,
571,282,070,019,361,023,877,645,858,609,614,986,033,215,234,153,647,172,432,
423,980,556,804,463,179,516,223,706,972,862,881,614,171,008,914,216,873,008,
446,575,358,445,023,229,652,910,951,414,147,427,340,415,221,891,923,193,249,
476,945,026,773,811,456,786,727,259,647,935,727,644,012,122,143,058,387,727,
436,571,278,334,503,170,085,242,894,364,429,844,893,528,366,693,977,280,463,
063,895,134,908,793,204,415,616,856,730,821,170,550,994,238,856,963,670,324,
521,495,830,778,732,805,760,471,691,339,492,201,146,757,666,181,969,774,269,
880,217,863,900,729,557,789,711,740,676,706,448,308,051,064,734,695,870,427,
241,639,125,932,479,410,354,054,526,026,924,568,417,055,407,655,923,040,638,
979,624,235,109,929,928,171,406,631,274,308,403,449,426,366,107,682,264,258,
617,640,983,716,161,103,681,899,424,535,105,746,540,697,330,340,160,768,302,
178,784,345,013,104,754,704,379,645,949,545,550,489,166,917,944,272,537,541,
119,809,253,178,869,679,057,396,419,477,476,576,141,147,174,388,538,478,282,
731,452,801,482,262,045,110,303,555,527,532,540,940,062,884,227,323,551,226,
881,933,339,266,717,120,706,756,763,750,249,026,259,464,374,723,572,212,870,
244,659,727,728,361,989,018,885,447,539,454,166,762,477,252,229,666,380,335,
864,885,985,378,384,986,799,057,668,605,763,235,917,780,776,442,816,603,740,
179,611,331,488,109,563,565,698,212,930,145,751,945,063,844,136,261,499,161,
904,736,276,683,903,799,148,021,611,141,239,700,222,088,957,078,520,488,197,
799,754,599,153,933,054,740,579,174,235,593,683,564,225,158,961,470,470,927,
628,132,500,288,632,475,587,738,265,592,256,643,932,043,123,692,150,200,485,
499,238,204,910,956,094,075,415,340,694,389,627,186,112,931,131,010,215,913,
165,521,280,947,043,625,919,635,914,273,266,449,097,096,726,914,339,054,252,
105,787,116,827,910,803,452,637,649,990,410,496,721,281,151,627,564,677,257,
458,168,414,107,888,868,049,192,490,026,889,594,464,236,860,146,762,966,653,
561,627,667,990,835,362,956,087,146,116,995,462,830,872,113,616,698,356,421,
008,208,998,826,741,871,237,535,355,735,586,690,404,139,530,850,168,559,136,
232,461,430,566,570,003,169,961,503,577,731,941,679,435,325,858,213,039,964,
446,202,623,506,111,134,311,770,462,621,552,385,075,126,293,497,153,663,682,
473,984,386,801,739,630,484,073,940,916,955,757,437,007,727,299,738,870,309,
896,509,402,981,339,094,860,533,887,227,425,547,267,696,206,454,103,741,965,
989,351,325,303,420,769,600,590,965,839,170,391,022,826,812,188,541,338,234,
536,746,799,403,831,331,730,983,868,666,127,564,570,983,262,121,089,298,872,
320,576,705,977,695,759,536,821,070,436,174,621,902,060,447,501,572,051,719,
027,949,448,340,524,521,789,635,746,810,373,806,599,340,858,921,133,367,700,
473,482,835,749,442,564,992,865,371,016,400,168,548,741,584,185,859,452,991,
121,317,646,430,674,337,513,307,041,593,905,633,162,895,278,956,796,080,242,
616,365,753,975,702,601,813,017,556,750,574,863,001,397,358,292,906,201,708,
388,745,724,513,223,716,807,234,822,065,278,481,023,032,618,696,474,040,568,
650,261,581,869,744,321,926,314,382,203,568,443,896,177,424,275,060,530,026,
181,762,651,471,311,902,776,900,780,047,661,990,007,414,354,225,378,874,450,
455,521,345,732,114,769,903,009,848,792,031,175,441,724,163,653,963,486,073,
361,785,670,000,082,031,008,690,855,369,606,313,270,512,041,088,753,643,040,
586,292,262,153,418,660,122,381,763,602,574,081,878,434,249,400,476,255,413,
177,174,137,994,848,360,987,464,507,830,202,125,998,153,333,331,343,686,620,
706,891,892,632,232,007,368,065,401,470,359,435,685,984,496,670,746,520,301,
406,901,183,948,172,751,545,986,179,784,302,674,632,536,712,337,197,542,099,
430,889,274,866,249,397,049,247,528,447,667,115,435,146,326,414,798,882,534,
832,865,592,630,306,001,237,881,890,678,326,566,002,637,952,316,277,373,497,
206,301,204,062,582,211,657,181,191,609,464,482,747,382,298,840,472,643,388,
695,945,832,741,651,809,536,730,309,598,572,009,218,964,835,169,666,050,227,
188,102,006,487,780,108,859,877,156,413,718,185,032,515,202,190,050,925,270,
984,291,779,439,842,763,397,916,771,815,198,347,459,955,232,995,245,245,706,
346,980,758,336,408,500,389,748,549,138,485,314,516,162,523,695,317,684,902,
470,302,713,801,878,028,288,533,363,002,177,577,306,188,526,544,584,070,221,
455,446,269,267,385,484,242,360,169,354,324,291,510,874,311,603,688,912,139,
545,771,263,396,551,162,598,880,009,355,897,832,678,302,325,520,299,659,916,
055,996,519,004,669,426,973,955,370,687,761,021,880,444,549,508,237,231,358,
212,202,830,579,210,176,015,348,801,505,887,836,513,026,917,517,463,291,786,
448,152,373,715,052,909,266,392,391,704,311,546,291,092,596,547,895,101,158,
785,939,984,193,445,936,660,821,642,229,367,473,921,179,167,542,916,084,918,
130,517,517,844,040,640,229,381,911,280,184,285,084,545,163,787,503,452,015,
837,186,233,852,946,985,936,644,118,351,659,718,582,517,859,081,384,922,966,
213,974,302,475,690,346,746,918,528,281,565,167,515,706,491,763,644,424,375,
986,636,080,034,897,798,204,919,218,492,972,949,297,575,020,311,621,905,121,
490,460,448,667,368,588,940,862,959,774,492,433,018,201,999,620,513,538,863,
017,352,628,397,019,487,935,580,187,015,040,600,292,642,217,941,821,930,701,
768,799,129,697,759,531,641,707,490,586,767,137,114,580,237,650,641,413,070,
827,960,106,592,874,560,011,115,781,204,933,837,969,568,659,874,129,246,222,
196,755,436,370,063,593,202,180,870,751,924,910,572,897,206,847,456,772,942,
289,687,679,759,828,167,475,408,861,972,913,091,506,676,309,635,286,951,414,
013,518,730,596,937,530,771,308,571,893,426,644,893,092,203,473,028,935,899,
122,937,965,066,044,149,761,440,838,464,478,798,399,576,147,735,435,559,135,
727,537,879,186,205,718,338,297,658,856,816,004,053,583,300,164,830,113,351,
153,771,260,401,867,494,502,129,946,039,666,658,307,296,644,030,308,990,430,
967,005,695,245,481,609,820,353,932,450,050,868,764,679,821,028,587,620,033,
411,314,450,786,695,125,590,439,310,173,815,605,659,086,809,790,697,539,269,
446,758,757,401,021,126,919,729,615,424,927,818,644,917,412,336,158,731,815,
560,349,352,747,206,718,850,104,001,612,754,343,318,530,986,828,806,801,278,
028,243,237,863,035,411,053,281,969,043,053,221,181,902,042,247,492,251,367,
321,799,662,332,535,556,758,930,346,533,469,526,639,926,921,491,318,306,455,
818,913,119,940,477,129,162,148,226,927,344,172,954,812,199,743,085,300,649,
712,898,662,956,480,462,689,123,432,408,977,253,658,289,241,573,102,385,304,
825,923,685,519,252,696,613,389,591,887,942,557,522,979,336,595,472,430,932,
333,803,197,452,363,552,999,214,927,214,300,011,080,385,612,277,736,587,120,
925,295,481,482,243,377,783,389,772,307,484,928,406,143,612,081,279,426,359,
924,498,064,028,361,891,225,360,354,405,039,371,086,203,009,331,890,375,976,
571,857,724,180,339,180,747,221,938,637,101,574,267,723,039,709,877,879,509,
890,711,976,719,057,682,612,825,192,924,415,029,548,197,044,401,801,918,986,
355,994,363,523,787,500,165,925,748,828,887,140,873,862,649,729,704,648,594,
566,890,664,019,898,697,802,838,031,686,292,234,412,372,516,168,740,753,208,
521,658,562,049,045,007,133,856,926,321,796,810,012,188,907,392,716,814,760,
102,984,186,680,118,750,305,046,594,513,852,950,649,293,290,830,618,762,504,
024,035,247,220,073,709,589,945,221,727,694,458,178,411,481,103,261,164,188,
160,142,486,070,485,131,045,640,633,835,590,976,114,001,506,725,161,785,212,
592,572,477,240,682,485,992,882,221,114,434,042,791,897,963,975,765,503,704,
855,599,833,881,688,402,999,575,012,622,306,596,141,258,473,925,837,596,087,
549,082,043,384,172,286,963,231,109,044,861,273,201,137,503,351,909,319,137,
550,249,104,995,809,337,781,072,854,367,207,360,650,248,691,932,749,486,541,
832,527,279,571,629,949,087,829,588,267,783,888,223,647,852,004,269,750,054,
727,677,063,907,987,534,695,465,310,680,718,763,741,511,665,764,665,865,510,
455,793,941,518,317,034,219,744,608,994,151,179,509,727,843,360,319,249,556,
800,540,326,195,827,884,808,948,560,500,963,692,219,020,033,611,124,783,514,
080,509,499,320,849,776,842,143,398,398,227,341,181,874,851,794,902,557,100,
359,345,772,171,579,799,262,366,227,454,681,756,838,734,192,582,197,916,936,
892,383,487,567,629,170,497,533,065,644,876,486,963,227,070,949,387,848,833,
316,725,742,025,366,255,014,938,533,014,337,041,804,630,105,599,575,679,304,
535,266,540,362,182,407,307,611,323,494,380,631,930,216,510,694,904,311,401,
755,592,928,895,599,211,597,741,836,988,082,956,210,671,877,492,966,412,042,
673,074,212,184,892,357,184,672,099,885,650,934,480,765,228,434,881,636,847,
429,099,014,383,270,734,239,038,581,905,105,236,338,831,130,065,561,935,770,
758,125,430,635,384,935,421,095,978,415,634,867,178,599,279,423,283,453,065,
541,957,139,585,052,197,203,208,922,732,623,658,462,296,920,924,524,684,056,
822,031,763,709,971,677,267,801,553,543,320,554,463,113,770,389,210,626,090,
766,107,394,309,305,985,474,126,969,278,635,265,089,090,530,931,239,011,713,
054,652,025,804,555,785,969,002,565,639,314,364,751,745,459,621,235,912,554,
792,765,065,866,180,944,975,548,283,087,354,394,473,077,274,954,019,626,416,
648,389,025,643,459,139,572,529,389,820,858,970,044,245,458,939,954,840,598,
397,441,631,064,912,962,881,395,949,140,250,381,864,026,461,733,848,407,661,
553,599,276,279,967,317,887,377,667,442,145,728,354,575,520,552,170,887,539,
220,098,483,496,134,490,445,294,262,943,998,426,846,222,714,708,080,300,887,
024,175,249,589,555,790,753,868,441,002,454,980,976,011,343,974,405,802,181,
476,771,174,847,544,219,521,632,818,277,137,036,336,558,642,201,185,620,595,
015,575,391,398,656,102,306,211,650,809,298,592,292,756,189,303,638,605,451,
594,544,678,208,682,292,793,876,700,546,732,909,913,192,642,735,304,793,616,
761,212,033,335,177,676,968,338,939,221,003,860,070,008,262,566,604,776,582,
715,495,600,159,306,090,441,631,939,436,334,082,684,495,164,660,757,247,498,
360,431,207,397,170,759,823,321,080,824,536,164,703,844,253,799,876,973,806,
604,159,557,741,550,004,509,753,046,613,515,368,642,452,144,250,773,162,522,
294,470,339,713,795,192,752,733,525,037,857,356,550,935,603,369,898,130,519,
707,010,861,007,325,918,277,083,218,077,974,900,578,686,629,580,541,074,960,
407,643,699,805,798,950,942,101,919,538,897,326,303,973,289,918,057,030,690,
360,098,677,111,102,148,857,909,530,505,167,127,226,053,307,817,087,137,467,
933,478,465,137,762,092,234,083,475,756,969,252,696,049,663,566,445,822,129,
654,285,219,729,572,359,413,008,196,459,509,026,015,505,524,923,384,044,728,
390,356,886,110,583,142,179,948,253,236,843,182,658,708,963,322,467,858,694,
892,684,104,957,433,933,986,917,692,678,235,909,489,030,779,548,143,982,430,
302,493,648,307,974,912,776,386,653,544,701,817,066,032,527,552,247,023,337,
441,325,994,883,667,218,036,458,995,231,290,246,202,327,694,215,487,330,607,
467,352,685,090,828,580,015,318,077,643,729,712,954,315,879,577,835,744,722,
231,424,766,304,196,864,865,872,518,902,043,890,030,290,370,159,029,822,946,
204,964,024,091,532,227,478,595,186,841,719,083,364,543,818,416,187,220,594,
491,711,516,843,640,088,748,777,430,701,824,153,864,390,095,810,005,858,189,
935,408,066,571,528,357,459,453,415,238,778,664,382,073,899,191,953,837,057,
543,452,302,923,705,541,524,950,581,574,356,859,161,135,155,771,893,442,288,
703,886,961,038,106,410,452,546,608,143,266,561,434,795,833,816,867,356,727,
950,450,434,529,503,104,996,960,270,647,812,627,701,994,794,483,607,811,431,
729,409,541,167,546,618,406,558,063,212,723,551,259,164,192,808,609,640,899,
278,253,055,148,606,488,710,599,633,438,984,306,312,380,338,261,566,574,748,
479,156,597,900,106,162,714,967,904,623,118,803,732,642,513,170,603,742,451,
447,465,738,353,250,503,959,572,191,431,807,202,703,383,046,683,107,893,879,
246,759,069,018,106,366,673,370,228,139,883,749,930,865,317,361,076,094,765,
935,006,660,493,029,189,773,922,173,890,174,054,891,838,523,408,136,418,809,
306,464,224,920,697,061,091,257,159,575,837,571,609,198,298,253,620,995,678,
548,427,288,770,278,791,540,094,658,767,047,495,129,277,591,841,689,809,368,
120,802,429,857,100,080,170,150,263,515,928,964,360,714,574,363,878,369,233,
598,933,442,676,746,604,041,214,345,140,197,823,171,465,719,930,047,157,136,
104,058,196,021,675,601,312,469,459,648,235,382,081,217,086,603,335,823,708,
730,071,609,486,503,526,668,697,794,489,955,218,493,941,050,676,441,361,533,
121,279,729,018,243,561,677,538,176,695,073,950,221,858,487,208,375,048,888,
286,137,909,929,068,533,974,482,154,169,405,817,715,507,475,031,483,577,724,
045,542,261,466,952,637,878,427,971,119,124,911,097,279,890,164,727,443,194,
925,734,946,641,257,829,707,550,256,797,675,724,356,702,974,575,183,592,805,
253,523,588,833,491,567,572,312,192,487,632,445,267,308,848,153,666,853,890,
477,899,109,022,642,391,713,809,801,656,391,195,761,531,083,327,200,593,408,
476,833,289,060,043,631,028,102,481,644,461,794,050,119,851,673,592,936,668,
554,783,791,407,755,977,417,404,450,841,939,558,914,829,320,808,506,428,996,
553,106,183,877,727,196,418,978,942,306,630,128,636,200,333,087,466,438,011,
786,004,285,663,114,642,926,411,364,133,664,674,657,640,647,989,533,500,654,
218,780,074,504,795,773,602,835,237,440,924,289,453,599,948,019,600,106,577,
136,539,320,398,360,894,595,545,440,505,182,172,150,543,109,985,178,991,441,
594,657,047,009,165,583,702,415,794,375,003,820,301,602,397,778,964,171,849,
973,083,510,752,021,385,162,286,604,594,581,094,382,006,776,373,540,631,392,
042,917,839,205,638,468,335,988,267,064,007,404,749,817,619,044,451,312,458,
190,749,523,512,389,564,861,686,215,722,850,842,609,906,710,598,345,047,256,
639,562,636,155,757,256,212,125,337,604,901,672,306,400,430,064,307,745,219,
587,544,644,202,441,766,438,607,169,452,305,339,545,615,540,685,344,492,988,
449,296,815,315,151,508,581,612,944,864,849,507,288,335,098,108,192,792,588,
506,003,494,704,164,999,408,572,313,975,289,750,725,192,556,877,220,267,709,
324,172,718,321,303,276,715,942,804,835,756,073,737,165,440,502,348,526,642,
468,622,216,002,009,888,854,586,972,105,787,610,242,569,908,182,452,526,164,
924,322,160,115,870,227,030,574,882,237,278,598,485,882,414,907,310,916,612,
512,415,477,040,304,560,249,848,825,880,856,099,534,516,350,887,707,568,100,
671,662,791,447,074,132,474,267,514,171,088,955,975,958,049,964,007,155,229,
482,265,532,630,775,951,442,570,487,071,950,254,323,593,949,625,540,488,763,
248,035,973,707,780,438,382,471,698,440,512,823,008,696,367,519,673,301,559,
298,992,953,220,910,805,702,402,129,233,836,564,390,303,471,390,571,086,282,
426,133,658,720,246,963,959,823,496,420,739,972,807,744,412,507,342,814,216,
038,195,283,319,452,219,994,711,731,616,346,848,173,674,652,252,422,156,050,
437,284,578,657,984,843,885,425,147,759,122,379,984,899,362,405,945,525,286,
834,340,074,839,294,499,057,615,838,733,001,981,538,558,151,035,070,190,231,
871,274,112,898,276,018,113,993,931,598,860,789,738,011,441,703,956,210,645,
210,044,479,507,744,862,472,605,387,012,022,389,481,010,092,641,370,573,062,
465,985,270,099,519,858,700,622,795,786,060,820,898,179,453,220,967,995,304,
653,198,743,684,981,102,032,717,037,883,008,025,912,806,479,677,003,627,671,
696,663,138,914,152,664,760,313,736,937,666,842,237,219,174,141,910,714,358,
899,647,858,631,497,547,892,535,525,940,147,927,280,098,735,952,309,712,529,
777,740,206,432,842,134,461,486,133,696,435,046,943,111,324,442,949,467,587,
626,193,965,257,078,588,161,185,973,282,755,969,246,729,880,135,181,150,393,
573,603,662,547,929,563,660,220,619,206,978,690,177,335,845,849,802,276,658,
647,098,117,840,107,793,935,853,773,999,397,247,106,731,694,393,185,658,382,
730,438,049,230,793,582,021,053,957,663,950,372,622,937,235,524,876,958,977,
516,664,012,587,021,447,172,599,147,639,090,594,454,259,875,173,758,634,376,
474,387,140,839,414,269,991,845,356,321,586,235,420,285,106,385,494,220,027,
016,972,035,482,657,861,246,742,054,022,670,553,171,357,992,375,908,691,934,
800,411,993,402,200,146,665,043,564,165,380,064,283,833,240,128,056,368,048,
247,458,948,901,353,804,177,567,661,693,336,750,348,571,664,437,264,903,091,
175,519,849,509,933,293,911,472,443,143,404,368,789,801,016,135,065,401,476,
241,502,740,828,049,545,394,538,639,238,653,162,522,856,286,465,254,221,239,
200,263,311,415,864,329,791,910,030,623,865,948,946,122,612,211,224,573,546,
058,324,781,190,049,195,726,580,084,934,646,295,044,258,649,104,469,577,277,
461,286,621,309,196,474,207,834,333,651,817,228,897,134,649,876,929,780,644,
431,225,695,486,135,440,897,432,131,677,246,084,346,447,846,130,932,420,025,
819,436,883,871,186,812,072,219,112,192,991,969,979,300,481,537,337,423,216,
992,894,290,386,465,628,421,034,640,391,304,010,661,932,915,677,258,338,624,
446,859,830,124,493,035,407,875,548,104,669,510,805,361,392,941,051,333,323,
524,040,735,543,493,466,570,888,925,516,934,793,095,135,384,276,497,275,434,
810,626,582,767,091,838,849,076,845,741,617,359,580,204,040,658,363,560,477,
876,413,567,655,953,250,325,081,037,245,683,821,544,821,968,347,407,698,052,
068,737,623,438,705,107,675,752,950,920,744,486,304,110,837,150,822,615,101,
375,807,025,168,678,305,375,207,713,994,610,048,927,158,588,915,554,318,223,
094,370,179,929,512,612,861,947,753,198,871,553,541,351,025,625,495,423,005,
777,894,925,099,094,503,112,446,045,805,973,300,677,534,090,026,321,683,914,
750,169,645,357,391,224,315,606,097,283,238,943,392,058,416,617,850,636,390,
196,695,157,297,577,953,095,570,413,161,844,813,001,470,198,850,980,973,663,
345,176,179,906,111,361,846,790,738,406,125,766,273,850,731,530,399,918,984,
932,783,455,002,296,953,763,474,817,899,956,400,356,371,225,514,948,346,665,
697,146,423,728,989,785,377,421,477,707,760,760,372,518,690,551,523,553,750,
016,182,858,891,547,283,906,057,513,019,158,649,825,708,591,633,265,879,868,
725,370,412,428,415,402,952,255,917,685,033,203,653,801,045,451,698,426,728,
706,379,872,928,880,716,312,340,913,140,050,113,655,914,422,587,796,802,196,
251,123,722,275,546,639,772,937,161,595,135,924,219,461,070,046,069,886,215,
493,072,481,867,029,278,708,678,413,205,635,634,250,187,138,153,758,130,211,
778,034,638,613,916,710,829,179,642,990,158,089,993,544,852,496,242,996,650,
426,269,061,129,270,763,348,912,610,332,903,607,620,740,982,311,820,666,028,
298,817,627,439,637,759,712,967,838,022,850,718,924,804,997,300,218,957,742,
012,631,071,280,194,531,009,969,086,348,882,144,969,544,472,949,895,322,307,
066,298,302,120,716,624,022,163,948,372,182,012,616,709,993,668,349,706,590,
608,369,927,333,820,170,865,237,839,671,273,959,711,380,266,232,631,303,906,
175,036,293,579,258,725,511,324,493,030,047,675,409,251,509,903,052,364,358,
711,715,796,842,131,193,414,959,523,032,242,610,042,427,146,962,021,969,011,
462,364,141,502,558,932,864,417,012,898,506,140,793,002,883,837,645,955,808,
735,018,456,611,723,791,069,395,498,992,853,821,519,035,641,867,153,516,286,
844,235,957,532,800,541,215,101,097,957,651,697,419,031,635,091,010,706,720,
764,020,729,910,357,587,934,458,643,291,512,008,519,318,646,897,523,075,022,
693,213,582,302,048,970,302,765,631,555,782,549,754,169,724,317,958,633,948,
977,170,074,364,320,885,454,928,069,629,031,453,070,982,920,909,798,243,167,
699,523,010,466,871,958,362,281,040,938,822,767,492,682,765,987,409,073,601,
350,501,473,886,282,561,691,229,765,297,306,816,925,207,038,990,114,501,551,
297,803,991,301,977,083,966,564,789,777,519,056,366,936,891,563,545,181,246,
696,205,748,030,840,504,266,739,192,003,288,903,459,172,070,071,413,498,984,
293,224,041,198,987,106,210,462,505,602,596,439,302,584,482,519,870,891,616,
605,400,198,965,742,759,989,276,364,798,994,021,290,114,836,611,309,946,939,
088,312,147,399,476,010,307,764,867,337,496,723,783,849,517,677,596,517,567,
782,221,408,760,605,255,581,318,522,512,785,261,728,171,424,310,268,974,586,
956,226,719,684,537,880,187,677,241,282,999,325,762,716,498,302,429,593,386,
477,891,034,263,593,716,773,454,721,637,847,508,451,973,972,616,950,924,811,
266,587,624,944,789,602,170,124,450,557,255,847,676,823,756,432,238,358,600,
886,374,988,384,149,849,121,021,282,930,759,908,527,291,959,419,888,290,666,
682,179,734,722,429,444,331,315,201,265,712,841,745,693,952,926,439,803,143,
768,793,864,845,643,474,122,133,302,950,443,860,095,117,185,260,656,517,655,
648,883,219,232,954,678,460,598,938,939,948,584,615,490,860,565,274,434,124,
165,640,901,625,219,488,330,469,416,947,823,780,960,613,271,686,572,157,329,
753,811,998,654,496,655,811,124,687,729,478,434,036,522,680,489,300,863,160,
419,754,577,501,115,306,110,174,606,597,028,654,672,236,202,375,911,992,040,
604,709,680,756,266,406,426,550,977,135,815,658,241,793,303,037,378,913,766,
244,769,171,297,259,197,463,730,512,383,461,966,669,232,529,422,757,492,559,
423,519,507,556,214,085,348,614,659,297,994,024,231,614,669,994,185,653,697,
511,041,041,657,199,358,090,089,289,516,682,312,302,908,364,285,264,508,378,
223,762,023,685,386,938,642,703,679,344,057,040,301,424,737,117,845,179,393,
353,945,368,724,985,075,443,301,372,303,223,675,021,220,407,373,503,903,425,
968,120,908,519,645,905,716,435,127,424,607,753,250,925,025,015,535,017,334,
291,627,574,851,438,404,844,299,411,192,937,861,333,253,331,631,744,963,223,
008,677,031,434,631,020,474,319,955,658,775,087,537,070,957,890,936,264,042,
733,484,352,788,534,790,228,824,498,950,506,879,919,632,288,299,993,549,121,
624,267,984,333,638,965,664,199,820,326,443,529,112,421,504,004,076,230,094,
040,352,782,414,683,227,004,523,738,789,577,403,291,219,452,303,316,759,026,
549,939,023,000,628,137,739,379,561,533,969,743,626,213,776,759,354,334,599,
296,960,618,880,289,483,834,575,785,847,950,313,590,249,201,840,006,354,141,
403,272,546,911,557,080,953,663,957,686,320,518,666,358,685,020,973,877,760,
162,665,580,369,187,357,993,648,297,635,298,461,712,226,723,637,265,458,446,
200,461,314,248,488,553,647,296,261,729,335,307,081,487,559,278,645,611,833,
628,488,398,312,835,085,624,667,955,937,934,582,655,635,829,641,972,869,011,
630,216,542,235,813,767,648,590,204,284,146,613,698,387,168,443,700,793,917,
340,442,189,980,835,570,191,026,917,285,767,597,447,945,502,113,805,158,520,
902,829,186,491,463,134,922,739,738,918,005,609,914,722,569,702,321,998,806,
234,454,032,429,248,402,013,149,085,969,675,564,664,490,539,334,951,250,565,
274,555,754,907,804,410,406,033,034,059,621,851,944,170,501,155,123,322,377,
425,353,777,620,639,614,614,183,297,458,491,534,331,123,897,697,774,367,501,
456,534,883,532,653,210,746,323,709,431,272,547,958,292,507,760,434,544,970,
933,249,103,818,239,678,767,616,067,894,413,311,136,967,350,849,261,834,549,
360,418,949,095,068,884,587,764,623,896,582,327,621,582,808,564,753,334,920,
902,610,865,355,943,571,812,661,578,018,121,465,509,647,686,220,076,833,813,
476,527,657,547,870,378,941,094,690,263,697,553,877,207,607,710,006,939,247,
820,583,880,452,045,187,322,036,100,313,577,132,932,531,720,952,434,923,283,
836,381,908,651,562,431,427,758,548,402,279,372,430,050,135,583,396,975,421,
558,357,221,144,113,021,212,518,541,260,211,688,840,632,106,850,006,199,910,
213,855,238,986,740,215,158,607,036,709,862,465,880,094,045,784,668,053,668,
268,620,867,103,192,275,522,654,759,369,525,861,102,590,410,763,333,442,745,
341,352,927,170,189,277,553,709,656,921,316,663,682,034,357,861,989,773,900,
128,498,664,974,878,982,398,448,504,850,598,814,671,256,940,666,325,264,736,
746,252,508,507,175,677,669,495,649,576,199,354,611,864,543,550,604,366,669,
411,744,511,725,988,202,660,720,470,551,085,303,843,551,749,553,857,815,650,
047,019,845,169,874,981,985,244,544,308,092,891,112,214,648,391,326,153,902,
648,737,380,979,450,660,149,293,185,657,329,928,481,004,312,935,762,113,523,
018,989,916,518,341,502,842,132,388,517,904,160,387,255,363,679,824,196,740,
596,691,163,586,641,646,435,729,210,443,800,487,812,947,444,071,320,699,148,
082,264,166,628,336,864,772,023,125,040,057,185,531,431,399,106,777,496,185,
038,325,229,584,369,138,789,611,192,702,028,332,345,254,393,563,910,529,880,
297,293,057,885,813,179,567,880,874,497,035,231,987,811,744,266,795,978,390,
083,194,180,660,952,015,348,819,840,874,082,701,126,440,876,596,230,457,453,
717,087,441,768,216,890,500,771,701,934,725,262,700,203,465,201,526,452,915,
594,338,840,709,712,744,972,380,696,548,613,103,280,009,591,597,114,197,312,
051,537,259,627,736,673,443,430,164,814,637,379,529,708,541,005,067,082,063,
941,271,271,545,767,117,484,585,006,014,799,687,959,415,102,757,193,879,763,
546,236,485,354,095,128,345,613,070,722,264,938,623,131,145,492,709,711,976,
737,342,688,560,553,270,638,252,863,807,288,079,724,810,715,385,091,677,397,
848,659,501,951,065,437,450,928,358,981,435,929,847,407,834,735,208,260,822,
377,586,101,081,589,298,816,568,480,623,612,337,459,167,070,110,629,697,797,
092,518,272,729,967,766,049,567,037,113,423,115,068,041,428,103,482,956,758,
467,506,490,662,385,350,014,609,597,946,351,614,031,870,494,096,271,197,416,
057,160,042,050,904,585,238,031,949,317,825,228,365,632,636,653,490,077,651,
087,897,092,071,360,248,561,138,443,159,723,400,439,763,918,480,035,718,199,
127,488,795,678,000,918,286,920,630,171,963,398,967,552,031,677,778,179,606,
267,544,815,879,323,485,208,864,908,538,054,392,489,701,563,275,150,224,175,
089,701,822,309,490,470,494,553,537,047,166,012,497,737,577,339,170,708,592,
678,386,738,063,544,575,999,473,024,281,545,510,157,881,194,945,551,927,464,
849,757,852,228,726,439,463,104,503,177,287,973,439,648,461,073,785,300,070,
901,255,762,354,768,081,339,412,416,473,662,315,371,910,022,531,810,204,674,
355,372,653,215,323,431,442,452,287,530,837,664,368,863,744,603,537,196,486,
435,288,704,248,686,695,494,072,078,741,972,241,565,413,668,601,042,061,395,
264,326,079,961,430,053,127,446,839,789,459,778,558,345,828,509,592,122,937,
074,187,061,171,028,763,322,339,768,462,298,609,442,341,226,345,258,224,494,
256,966,223,066,909,970,320,098,889,317,841,883,855,044,735,556,103,590,719,
325,624,337,539,369,581,723,760,365,339,352,998,614,194,112,230,129,549,666,
697,258,027,143,961,467,228,662,266,964,684,726,178,381,661,761,360,843,572,
529,552,249,807,902,310,300,933,991,438,543,581,269,312,429,957,771,575,174,
635,433,555,180,103,897,327,494,663,589,590,715,627,319,651,945,692,207,180,
169,082,041,709,932,941,391,465,749,480,382,370,407,999,456,274,976,108,082,
525,347,480,058,599,934,163,170,038,623,589,449,249,583,073,635,601,409,225,
396,047,268,628,073,258,559,909,813,091,527,152,998,755,748,054,650,091,360,
795,775,578,847,522,721,649,123,507,028,831,996,121,802,116,758,997,755,029,
825,080,892,452,080,893,929,489,948,121,559,189,634,064,670,796,943,664,782,
376,854,485,497,889,983,851,929,659,725,460,507,999,883,592,680,209,148,795,
715,916,372,000,472,957,340,480,729,259,152,961,750,992,171,527,465,678,568,
806,515,655,192,496,208,652,394,133,332,750,985,342,112,918,297,470,002,426,
667,508,318,098,223,435,736,015,389,627,871,218,565,462,821,806,336,691,640,
036,110,188,340,863,778,226,750,950,425,701,999,976,954,748,629,659,180,966,
658,360,527,600,984,804,599,131,380,679,541,136,846,745,654,149,492,358,758,
472,603,945,029,331,263,352,198,327,340,588,992,064,885,374,556,918,457,616,
875,254,576,183,485,884,863,747,054,281,175,954,080,545,738,698,450,813,791,
371,999,910,998,116,040,124,130,833,450,203,769,858,608,404,527,584,668,444,
645,047,180,357,656,590,842,640,068,159,119,382,218,759,759,600,175,438,075,
554,353,619,900,288,502,666,383,082,274,508,544,498,529,327,685,089,767,887,
995,010,500,193,813,225,122,852,570,609,501,272,881,938,284,509,082,212,166,
957,514,047,854,954,501,449,005,493,788,385,552,277,368,197,188,121,823,413,
712,313,600,893,038,845,677,753,611,360,492,018,575,254,115,599,854,084,778,
394,745,768,601,018,115,959,643,907,296,633,137,676,340,380,930,836,238,496,
269,073,991,839,682,125,583,145,639,745,275,740,835,435,789,684,972,634,044,
871,314,158,762,289,312,509,251,275,195,203,289,504,450,214,396,781,529,348,
666,318,808,323,037,601,168,795,896,171,328,183,891,439,941,466,932,784,432,
081,887,881,100,272,520,139,424,476,290,146,236,683,115,543,062,673,836,984,
223,161,085,091,854,625,499,308,464,473,599,250,364,846,754,421,320,262,913,
571,643,204,135,738,280,953,760,866,290,585,819,037,750,354,489,375,576,972,
431,230,929,978,554,360,189,067,577,117,019,245,394,533,743,672,879,658,859,
069,410,534,748,227,609,906,274,960,101,718,184,796,138,239,325,840,064,861,
296,951,693,007,935,136,450,878,896,202,888,176,954,290,844,333,469,697,232,
817,029,118,490,068,947,344,612,220,745,519,878,889,835,597,177,350,321,014,
512,654,130,280,989,058,242,058,143,257,635,754,969,950,347,819,930,094,214,
466,061,450,974,538,415,444,841,737,581,712,444,258,487,031,459,157,544,109,
389,643,681,552,938,462,127,678,835,932,374,878,925,701,240,744,799,020,419,
881,591,940,212,026,214,903,243,392,179,552,188,077,296,662,115,272,342,072,
656,816,185,195,183,130,693,902,679,541,105,964,268,381,072,020,411,028,988,
014,095,298,884,986,837,678,258,533,764,295,991,061,697,968,817,735,087,283,
703,863,361,374,394,052,442,043,380,633,108,863,792,940,007,348,298,992,574,
918,492,944,609,161,661,035,361,569,411,765,502,889,397,889,303,622,918,422,
608,635,849,692,879,385,454,872,741,859,458,714,505,614,229,986,415,793,259,
062,517,229,954,411,884,428,229,336,481,102,133,615,798,448,107,008,756,097,
034,663,288,535,262,623,594,145,483,038,658,042,115,812,245,696,643,613,316,
064,100,832,791,044,502,601,004,796,737,933,152,515,702,944,576,716,357,177,
645,622,657,976,235,811,389,754,428,699,592,439,638,362,805,484,006,232,803,
712,959,545,322,883,983,764,874,946,873,700,425,671,754,939,482,287,198,974,
113,420,152,279,136,806,483,012,156,815,344,233,962,514,710,798,181,804,107,
122,316,218,312,653,973,027,157,885,811,352,168,420,006,627,816,345,356,347,
220,926,800,820,971,634,796,941,667,581,073,306,474,193,822,487,868,843,216,
779,648,872,276,699,103,151,916,178,781,256,479,645,729,354,258,190,743,368,
963,502,382,366,923,963,099,674,103,882,148,305,580,274,999,263,704,325,310,
509,067,949,662,958,572,113,346,083,105,525,880,596,018,252,378,185,468,354,
545,916,070,033,215,393,138,038,946,927,728,778,161,979,649,754,263,164,637,
384,683,681,171,572,853,668,110,590,961,572,091,307,144,810,066,406,887,022,
734,730,036,366,721,100,398,537,313,091,425,524,927,804,254,850,694,169,011,
492,443,347,359,689,976,164,008,735,584,813,551,627,375,181,739,733,233,324,
375,675,510,910,576,211,305,850,843,090,038,593,557,490,057,093,278,167,015,
859,276,176,339,079,090,921,161,463,139,862,049,846,681,964,314,117,368,235,
183,586,768,252,420,255,496,768,946,429,580,759,421,944,053,036,060,004,945,
936,570,278,421,023,111,878,437,946,211,386,591,004,391,267,270,373,734,830,
797,907,814,471,002,687,528,199,344,232,995,877,567,628,114,516,795,354,989,
944,729,999,228,449,540,718,766,279,849,250,314,318,838,201,820,565,417,863,
607,895,273,916,658,586,894,242,330,636,014,703,589,075,116,917,727,548,449,
412,757,825,175,346,664,899,990,187,779,165,530,138,936,845,223,102,439,801,
795,442,464,716,011,134,807,064,824,018,879,256,865,718,128,035,219,785,140,
680,709,623,661,340,826,364,188,497,746,455,232,589,830,240,009,041,951,902,
741,129,679,555,481,145,118,091,458,631,854,554,610,088,663,353,112,064,731,
610,332,292,826,806,067,790,081,730,131,990,848,324,539,381,189,453,958,697,
543,276,545,170,999,177,235,344,783,236,680,533,784,769,013,926,630,299,761,
416,955,537,455,468,351,613,841,013,235,675,553,852,610,216,042,039,899,978,
699,411,436,663,691,000,463,463,552,453,838,978,236,308,336,648,288,235,639,
112,443,766,111,268,968,530,540,637,618,821,782,016,831,145,374,635,436,150,
582,586,168,281,368,185,236,605,673,605,426,833,430,869,333,410,594,485,266,
632,252,588,434,870,735,147,943,492,059,329,408,713,448,364,374,587,989,818,
652,138,493,755,140,841,710,929,220,581,095,203,420,437,638,038,701,956,223,
338,572,940,076,196,696,200,246,441,048,079,557,282,925,766,719,975,639,398,
244,457,758,189,577,708,369,220,599,071,496,156,665,114,334,016,162,003,249,
434,326,693,014,466,180,769,920,652,849,043,686,453,664,999,079,359,414,902,
391,483,451,044,393,192,007,435,949,545,701,804,047,624,616,497,873,730,344,
973,074,529,483,965,343,643,493,251,056,234,791,524,534,903,510,189,192,670,
243,548,830,393,913,308,060,844,978,102,032,675,796,997,780,605,452,183,878,
807,077,323,626,413,354,844,487,397,633,668,690,852,994,914,394,854,453,477,
005,584,595,359,774,739,568,893,335,445,894,575,445,880,025,522,749,379,483,
819,139,271,880,218,054,848,513,387,802,219,621,256,084,787,841,165,626,485,
266,795,062,456,537,766,240,172,749,654,531,179,932,055,198,550,578,310,680,
038,185,768,769,506,801,261,837,356,519,459,740,170,492,431,885,644,968,300,
030,209,898,243,884,943,077,898,801,419,197,040,929,448,230,043,693,980,451,
091,571,111,123,907,120,678,389,010,272,113,336,868,893,687,280,898,738,421,
112,711,089,493,399,148,170,394,790,559,200,294,026,775,294,521,148,183,191,
206,274,342,830,871,756,832,162,550,116,153,503,666,168,946,295,302,641,749,
717,532,893,003,285,491,070,696,750,075,360,076,403,366,731,484,531,392,325,
613,256,584,281,033,917,349,337,281,599,373,158,854,529,104,376,826,876,053,
568,376,262,869,231,054,132,580,373,729,758,201,375,834,122,096,777,853,609,
351,808,015,171,575,778,356,877,028,680,865,762,775,236,196,948,236,638,290,
701,557,214,336,932,977,376,789,505,123,064,676,873,238,193,404,202,370,803,
372,314,450,657,004,649,791,720,356,995,963,361,508,402,733,201,295,205,315,
219,940,690,355,056,658,893,297,445,622,766,172,069,262,345,059,668,422,990,
271,634,705,885,713,509,632,980,127,604,717,880,871,805,924,141,598,240,104,
411,307,562,882,521,324,023,645,569,782,866,233,272,325,422,646,574,015,562,
972,168,281,391,396,573,654,483,975,913,427,614,123,207,319,003,345,987,091,
483,583,438,206,025,841,818,690,505,342,121,895,151,543,588,756,395,091,391,
616,097,001,663,272,663,194,918,902,001,614,067,270,478,634,311,204,338,529,
771,704,978,789,657,510,882,861,471,196,621,019,923,271,055,111,763,574,921,
245,046,330,541,511,360,554,671,800,934,723,884,611,609,097,154,385,787,635,
295,330,843,085,648,361,047,318,940,346,101,285,550,928,921,414,644,329,632,
264,294,066,502,977,284,208,277,709,195,995,856,668,460,236,656,405,115,202,
019,531,392,592,925,787,164,609,432,468,296,672,777,307,264,691,020,692,027,
031,244,065,223,663,053,864,815,098,170,444,188,411,615,671,145,049,886,274,
957,459,788,040,923,322,808,051,943,192,344,145,821,563,332,578,421,042,737,
984,580,217,520,411,268,894,528,621,676,783,982,018,857,317,005,181,960,459,
300,744,157,373,771,899,556,294,363,273,622,417,197,381,434,523,030,799,587,
491,111,699,008,867,469,795,230,995,444,063,875,441,203,851,118,557,339,945,
558,504,031,275,660,186,585,028,916,477,789,921,849,533,603,007,442,898,676,
582,113,434,847,979,789,072,189,001,838,765,975,684,145,668,345,860,957,868,
796,012,854,047,960,155,242,841,627,885,260,748,805,533,359,804,516,052,612,
994,840,480,825,741,269,578,871,020,149,815,870,402,805,653,459,917,372,925,
128,917,079,479,359,592,047,702,363,073,313,686,720,042,720,263,126,509,496,
243,776,594,591,482,122,678,429,309,655,945,819,149,571,539,236,912,878,330,
203,053,946,795,339,945,812,548,698,461,876,761,862,484,946,393,851,090,979,
057,662,913,260,143,992,673,709,061,993,301,033,214,138,771,675,100,064,917,
711,788,642,912,109,079,719,234,301,615,107,873,922,846,678,235,926,693,672,
191,995,745,856,743,771,605,119,191,092,463,119,204,927,221,625,393,912,702,
301,710,447,480,580,245,098,300,184,347,300,559,481,072,488,735,239,613,569,
925,817,122,292,508,240,097,459,196,858,362,343,002,410,203,939,556,165,335,
201,210,982,186,021,399,142,634,292,223,885,208,833,921,982,481,378,602,671,
158,985,789,470,316,743,669,856,035,257,424,057,768,995,807,381,734,755,043,
020,809,693,230,041,110,153,981,072,752,240,954,168,129,099,386,949,552,369,
772,305,460,499,725,194,894,820,269,008,933,032,735,621,152,036,780,100,169,
498,572,949,748,147,707,746,326,421,526,874,447,331,052,502,162,970,817,363,
075,237,917,471,496,480,979,231,965,330,751,822,989,404,808,300,043,429,035,
515,104,075,765,691,248,001,976,627,628,660,957,732,186,312,169,144,911,036,
714,716,368,543,920,851,121,462,233,088,846,371,608,985,011,801,426,340,925,
335,980,524,299,598,080,825,612,748,110,001,487,150,826,779,205,889,608,928,
228,338,067,824,727,084,916,822,719,244,104,294,884,896,379,167,098,721,902,
322,753,608,833,561,971,362,864,041,998,218,816,957,876,641,765,487,736,909,
520,527,868,604,864,071,075,821,964,683,492,563,596,430,558,361,286,609,494,
093,644,823,804,474,277,279,615,064,308,393,280,850,713,081,535,510,311,011,
048,765,628,432,259,679,730,675,236,484,819,521,794,166,441,217,000,357,190,
796,002,774,872,184,650,819,705,477,086,782,064,590,003,449,564,647,195,951,
523,025,137,111,932,078,015,560,819,845,551,209,694,278,741,383,872,065,899,
929,414,156,911,935,440,574,308,923,285,315,267,476,659,857,051,052,681,483,
623,184,623,370,840,340,217,359,072,706,660,815,049,655,911,260,705,894,202,
588,478,999,605,255,409,404,911,053,772,378,430,956,047,528,731,567,406,731,
488,487,258,293,926,188,376,086,377,032,544,793,836,196,733,698,911,813,643,
495,878,663,946,481,968,601,539,409,639,949,422,823,756,598,059,727,707,269,
804,366,246,123,126,459,953,260,799,043,422,004,472,769,761,055,239,200,276,
800,855,702,544,335,242,204,315,265,026,150,892,941,436,194,778,952,387,192,
315,813,344,884,654,555,974,212,648,419,711,269,700,992,764,254,682,477,335,
251,826,911,888,570,722,374,664,163,621,576,767,411,475,399,030,269,501,226,
645,005,287,140,829,841,167,347,782,458,101,451,039,549,139,255,037,887,405,
116,588,929,086,879,974,740,715,414,368,971,220,836,492,745,365,748,465,037,
889,285,627,187,329,912,333,921,349,212,518,329,901,654,168,716,990,084,975,
870,250,553,508,889,070,297,081,734,546,294,613,226,187,717,706,278,065,864,
104,576,804,804,146,526,617,841,675,348,193,171,270,401,486,370,070,866,174,
839,377,701,972,646,083,254,272,542,369,027,597,182,175,483,443,505,821,079,
458,925,318,138,225,161,667,759,258,002,910,802,485,980,685,919,721,016,130,
290,744,437,947,726,271,005,895,013,214,046,258,460,652,239,251,870,366,158,
516,077,022,722,154,070,987,285,880,877,381,533,764,019,738,742,491,565,562,
759,625,696,408,698,713,940,499,223,459,870,293,475,456,420,967,867,718,379,
776,880,248,842,950,929,557,778,174,584,617,815,144,518,198,523,541,635,966,
922,624,734,854,707,863,315,616,578,729,595,398,348,647,706,574,462,379,783,
251,848,720,662,106,817,930,792,560,606,151,789,197,429,350,892,243,107,274,
703,243,469,787,480,310,806,362,733,894,662,855,956,688,870,059,762,436,451,
087,113,935,634,827,371,456,061,154,880,723,008,364,625,719,200,905,431,128,
390,472,521,225,164,390,038,759,437,374,901,143,397,570,617,019,704,367,468,
189,315,948,447,339,591,056,994,956,168,262,708,049,223,064,276,027,754,851,
647,363,486,992,461,269,208,324,846,906,522,013,999,244,257,684,916,301,621,
577,198,671,378,576,849,727,449,454,672,632,695,678,332,701,304,083,507,243,
649,942,190,446,632,079,401,357,765,986,042,018,138,902,549,627,684,796,289,
282,206,063,749,458,265,257,376,534,196,337,984,809,286,352,604,354,174,911,
378,873,529,749,968,551,163,537,878,052,459,744,451,794,402,775,272,214,687,
235,980,044,829,009,046,732,214,777,488,154,195,089,443,686,040,310,693,772,
688,792,939,043,342,242,246,272,659,771,875,722,900,504,034,597,404,009,710,
903,234,237,923,258,922,999,336,880,706,558,347,396,757,085,793,646,375,607,
956,711,501,427,536,396,037,272,411,041,628,888,754,439,172,385,795,316,137,
793,854,640,070,498,348,852,667,524,101,557,754,711,596,148,638,995,648,190,
378,849,054,420,959,961,041,227,862,167,780,931,127,890,643,712,567,389,460,
977,222,451,242,708,332,519,092,498,140,127,179,272,452,127,501,866,778,271,
473,048,556,980,640,190,053,852,724,442,094,063,767,779,850,669,697,446,181,
918,267,498,640,641,405,825,054,008,910,633,606,037,751,125,493,377,688,403,
849,327,783,257,533,759,926,744,144,640,663,847,689,341,676,251,054,138,051,
519,448,222,947,287,796,881,645,819,423,130,391,686,613,569,292,910,345,159,
355,756,136,923,720,899,972,953,980,731,275,037,276,020,994,133,121,646,411,
755,163,682,115,616,979,604,080,587,403,509,081,011,514,714,593,545,630,297,
016,154,519,899,886,064,674,534,839,853,696,803,706,817,013,398,150,101,606,
378,871,839,617,677,593,668,858,403,080,347,630,920,744,619,280,757,418,425,
005,163,612,609,519,290,241,659,422,247,252,643,468,216,791,128,835,761,230,
095,627,610,379,090,039,226,594,627,325,344,874,630,716,609,897,989,128,353,
867,821,443,989,677,272,850,488,639,578,391,224,770,864,193,122,285,635,210,
604,607,220,899,996,080,847,425,584,155,112,866,765,194,840,285,236,799,599,
049,669,399,632,802,159,238,658,814,496,203,374,004,587,902,400,732,599,589,
807,225,477,545,457,033,337,443,504,799,621,534,588,511,551,378,594,379,364,
425,202,458,365,557,140,113,244,531,262,957,649,405,124,645,654,946,615,403,
160,864,765,408,335,180,139,808,460,844,138,366,561,800,228,749,787,697,191,
229,853,206,480,967,132,143,082,151,603,113,233,982,245,877,078,214,694,402,
765,516,452,843,426,383,795,331,991,755,564,021,213,450,030,305,717,194,941,
759,572,900,259,920,161,537,570,512,315,033,267,626,717,374,248,390,822,609,
267,006,659,135,501,697,886,390,150,369,718,419,422,391,280,744,798,129,185,
004,829,485,791,321,771,795,877,465,705,607,303,044,177,677,427,175,862,726,
031,886,137,689,746,563,056,579,565,530,756,890,009,592,295,973,008,193,822,
351,823,493,529,702,475,903,681,258,235,997,836,857,306,874,211,095,342,627,
383,020,624,638,595,939,241,499,074,608,774,501,647,908,119,076,732,678,056,
697,387,703,679,313,379,899,869,808,419,175,104,104,178,685,299,811,290,064,
144,404,357,247,942,938,620,855,966,648,926,885,390,291,888,760,931,147,912,
362,110,939,253,992,036,648,438,877,561,385,737,939,868,729,298,800,581,403,
894,871,003,833,481,852,343,402,205,613,537,210,262,706,987,566,225,494,193,
855,241,410,314,800,763,608,173,052,791,293,306,813,241,652,845,742,448,798,
112,116,664,155,251,219,705,145,255,831,346,735,929,719,889,624,836,978,343,
013,858,470,376,940,143,890,241,494,460,178,280,016,130,256,357,561,613,852,
816,432,109,468,539,132,632,343,169,413,729,953,395,644,329,820,818,031,129,
783,276,392,164,550,623,278,552,972,842,616,813,187,017,512,063,624,304,604,
406,375,493,924,960,654,761,684,079,749,125,763,481,954,829,253,311,127,051,
985,280,649,419,178,650,972,044,710,099,556,779,306,158,089,484,625,444,210,
924,502,478,395,636,540,926,627,627,953,534,444,774,872,002,821,192,898,786,
192,127,132,942,841,214,704,825,548,171,418,023,940,148,170,676,699,338,214,
782,996,838,665,550,978,401,853,086,750,311,428,696,565,015,464,302,077,706,
939,139,646,699,632,491,478,032,698,249,972,970,803,069,835,043,753,370,510,
580,894,926,956,760,385,667,033,326,862,753,469,126,600,897,867,723,579,699,
472,170,613,809,779,320,410,119,730,822,460,781,200,182,283,686,286,679,719,
170,108,567,633,755,121,347,520,322,507,858,889,061,057,903,776,197,921,452,
545,197,567,152,108,839,033,515,554,352,351,090,495,454,007,810,323,874,613,
107,511,442,153,397,668,666,186,484,067,113,788,315,780,995,099,221,255,361,
852,294,276,572,526,425,351,090,574,002,536,137,949,345,102,675,763,904,728,
013,631,153,069,171,627,250,030,888,757,853,721,114,393,080,676,765,493,365,
908,716,542,029,061,213,098,480,029,069,556,654,527,666,127,404,236,713,165,
744,290,042,021,515,228,971,788,980,623,181,382,235,491,180,116,615,036,373,
893,680,458,272,123,893,826,440,056,578,163,112,760,289,774,306,075,736,614,
158,875,873,887,967,127,978,579,539,590,057,180,859,895,813,086,721,972,815,
966,516,681,858,530,449,964,488,992,948,703,016,406,532,917,087,796,476,187,
360,684,437,838,313,682,748,081,017,748,851,797,352,978,851,688,762,102,961,
002,883,119,474,197,443,441,616,863,509,138,656,235,326,981,034,155,407,496,
472,710,360,583,142,253,824,725,877,648,962,400,404,638,418,746,529,367,758,
626,944,396,774,903,653,927,360,841,557,787,319,970,706,240,772,181,812,780,
623,024,027,142,024,118,931,715,253,553,226,826,739,932,340,836,556,635,944,
243,752,329,334,456,175,283,469,684,426,827,908,187,246,492,370,541,195,174,
545,481,924,541,541,807,823,316,013,301,352,336,944,005,413,904,923,550,503,
197,905,585,368,830,014,501,843,929,243,188,822,327,143,281,234,560,330,133,
751,970,772,837,629,194,374,328,271,119,586,346,175,133,765,871,130,870,454,
228,285,079,951,447,758,817,185,834,748,984,857,607,416,353,107,983,428,708,
543,492,004,941,010,029,306,805,773,513,535,557,826,209,426,807,537,666,204,
841,461,381,393,771,119,307,216,997,142,431,575,347,194,625,190,848,987,656,
886,799,266,250,426,159,874,378,850,995,858,796,936,593,632,732,049,303,412,
415,331,687,596,582,304,130,256,791,243,002,304,405,430,828,541,161,098,656,
036,778,278,763,332,089,893,337,940,732,638,870,465,473,467,800,840,149,378,
403,079,542,835,402,844,326,121,538,125,873,696,910,078,577,450,559,696,251,
342,867,393,323,126,789,179,861,194,378,997,000,642,155,598,588,515,018,053,
202,735,056,194,419,797,718,463,847,782,641,247,816,291,255,613,671,193,110,
561,830,083,390,264,028,786,068,836,935,152,848,876,590,218,821,606,910,727,
963,315,616,191,245,441,133,138,425,980,843,526,221,224,269,417,553,758,416,
608,623,319,748,052,127,558,863,318,337,025,012,099,346,270,903,701,797,779,
288,347,273,987,047,411,609,124,715,007,798,951,676,318,318,790,085,036,692,
146,304,682,249,033,452,051,162,208,402,204,404,315,221,118,802,723,373,212,
845,251,123,050,667,048,513,837,792,683,481,643,759,688,115,555,876,405,391,
183,220,180,606,367,461,155,702,584,140,745,018,616,049,995,946,267,755,717,
839,412,794,784,482,137,797,760,773,353,252,622,642,453,171,143,253,696,923,
902,555,525,228,746,947,471,595,343,846,610,995,761,575,162,512,679,665,972,
934,151,913,480,927,834,435,170,195,273,397,288,362,627,394,729,335,666,072,
765,747,214,957,563,965,580,628,258,773,232,031,362,599,904,443,332,985,203,
439,555,082,284,943,227,453,018,948,635,507,895,986,684,440,236,743,223,595,
355,146,665,833,365,026,277,851,662,926,318,482,900,067,160,978,182,280,763,
492,683,146,181,477,741,234,040,144,583,104,979,587,938,886,091,504,753,451,
941,602,570,729,953,269,375,494,544,491,329,988,925,799,850,905,038,075,478,
522,520,101,859,481,106,085,716,909,564,849,691,948,140,351,379,056,785,266,
065,886,410,934,651,750,599,853,383,470,481,641,647,509,476,132,402,940,446,
392,348,489,446,429,194,219,087,070,842,414,050,232,001,254,689,247,288,224,
729,125,805,457,430,122,393,487,860,031,646,120,849,401,211,146,618,393,864,
297,758,433,076,002,804,052,054,026,200,768,841,547,170,325,440,384,643,302,
270,491,293,943,015,133,572,612,121,394,140,238,155,137,667,561,627,783,522,
500,547,630,236,452,553,283,829,812,197,434,384,010,407,529,482,599,580,666,
640,159,744,371,278,662,477,373,795,020,322,340,684,467,685,813,238,571,264,
355,257,907,551,394,177,375,652,973,317,190,234,395,052,078,548,761,323,292,
042,823,650,260,139,761,606,845,568,872,541,558,748,944,484,182,771,025,184,
037,083,548,543,817,102,049,961,537,380,133,795,175,609,097,013,000,789,823,
427,320,626,781,955,381,719,641,446,362,131,459,173,581,437,374,246,144,516,
271,094,295,293,982,885,917,589,241,013,462,530,098,244,569,244,836,321,950,
444,078,358,330,137,087,401,591,290,420,261,593,744,551,494,333,296,919,413,
135,491,411,342,189,508,946,606,740,000,548,577,476,604,689,228,329,831,268,
721,738,865,594,857,930,043,915,100,529,566,274,702,335,123,761,647,700,140,
284,155,573,807,213,589,810,991,071,139,623,888,309,464,059,252,687,939,945,
080,833,915,958,945,978,465,841,664,209,955,491,060,985,833,231,698,259,007,
482,364,374,931,032,698,459,228,199,814,734,072,163,780,529,022,054,821,314,
146,166,024,882,585,628,841,563,362,824,975,006,690,713,181,984,559,551,339,
880,515,986,275,956,665,297,705,472,088,267,079,368,792,787,462,336,333,891,
862,864,176,620,451,682,953,512,536,540,912,606,203,567,602,492,798,552,317,
397,804,509,029,407,077,931,957,321,851,565,465,047,478,801,945,737,755,649,
037,122,198,660,043,254,658,172,509,909,283,613,923,419,776,853,438,886,665,
242,541,338,690,123,870,277,973,952,486,077,761,046,374,794,915,422,565,296,
033,476,829,926,184,146,489,920,921,192,364,327,783,096,461,042,011,327,971,
582,571,001,863,740,089,236,504,428,345,189,057,001,152,028,052,272,166,407,
827,794,751,689,917,222,125,479,908,012,037,446,068,747,676,137,379,967,597,
131,346,636,224,918,992,097,139,937,664,659,246,973,099,046,942,969,017,174,
800,303,127,796,200,550,652,034,658,391,624,471,676,420,033,090,548,301,906,
058,360,172,927,199,694,465,576,279,574,557,425,527,608,385,378,231,447,234,
269,815,774,735,662,002,377,566,606,439,292,816,676,440,751,986,828,234,447,
970,460,752,088,675,602,983,635,958,057,486,963,129,649,347,605,339,652,532,
845,152,309,012,713,441,624,613,897,127,694,924,867,289,982,020,170,332,552,
371,633,123,137,626,382,571,530,838,350,966,327,450,473,856,491,424,558,565,
872,679,727,178,812,981,851,551,820,610,253,140,232,125,273,237,170,946,970,
946,569,246,927,582,014,299,896,783,409,199,810,698,226,772,250,062,647,959,
615,973,725,615,926,362,465,993,656,041,068,674,457,219,432,369,825,665,138,
330,879,039,484,599,149,563,339,832,902,534,644,955,911,860,318,517,473,521,
565,495,657,131,708,480,175,856,360,923,322,311,299,403,074,380,987,210,507,
483,960,713,840,337,170,756,747,073,326,709,921,167,619,981,864,293,711,828,
095,781,159,013,833,984,063,393,593,592,824,823,261,092,325,438,913,391,442,
789,173,046,712,459,731,086,658,483,511,792,692,369,778,030,154,887,197,034,
196,080,655,845,317,655,425,837,307,817,888,629,084,270,808,481,995,888,732,
072,509,189,701,553,124,885,164,666,014,825,020,576,266,123,701,015,178,906,
828,055,841,145,406,545,384,737,245,206,200,773,401,407,904,817,767,505,981,
045,575,650,773,453,177,302,713,736,889,273,510,335,834,970,086,099,524,730,
628,516,278,589,060,957,249,971,999,170,102,649,519,617,416,865,682,622,195,
710,239,864,909,715,800,783,578,737,691,215,924,753,542,194,805,322,509,552,
758,359,552,682,058,964,916,972,234,221,590,175,085,380,341,634,644,804,317,
870,029,962,921,574,924,044,767,000,133,184,827,449,238,432,126,029,087,663,
644,609,923,970,913,631,662,712,075,329,439,701,012,854,941,444,385,690,161,
430,466,828,020,988,097,394,761,831,709,888,147,748,014,527,103,246,125,773,
176,415,479,009,803,749,601,414,768,287,066,349,562,379,019,574,150,865,930,
245,160,945,909,835,443,497,004,255,208,712,203,143,775,936,406,041,714,351,
191,828,857,332,914,609,359,958,492,352,028,701,056,468,442,264,400,467,056,
953,546,392,926,215,309,370,342,036,917,269,479,586,800,826,445,070,377,136,
786,122,304,160,362,136,552,545,303,371,598,061,849,439,104,802,398,565,815,
979,469,662,465,995,942,391,112,030,486,330,677,009,218,492,276,949,748,071,
264,611,486,095,352,455,919,385,392,042,562,293,345,072,874,059,901,233,275,
132,615,253,272,567,933,499,819,408,147,303,422,999,677,315,104,255,382,828,
982,859,888,333,883,021,252,723,563,477,363,282,674,183,426,014,986,450,492,
976,166,156,542,597,039,388,386,604,186,893,670,566,322,034,887,159,277,382,
504,666,283,148,099,762,479,746,690,282,332,307,917,670,314,211,468,100,672,
176,452,475,142,814,607,014,957,596,098,793,649,970,326,079,961,410,807,836,
207,953,324,157,230,968,052,455,263,763,153,181,536,721,445,500,494,508,075,
609,107,507,655,547,930,484,057,751,484,959,065,890,994,671,059,475,634,495,
317,483,231,488,231,836,047,517,094,097,904,618,818,436,029,454,072,274,654,
104,447,256,734,158,615,742,278,233,200,265,857,673,135,180,795,862,357,402,
304,886,049,963,157,774,740,746,213,322,150,574,717,933,453,596,543,069,146,
638,286,693,965,188,951,088,463,864,713,714,860,727,300,968,324,600,456,001,
664,284,707,327,479,365,939,976,564,412,718,414,053,342,291,647,643,781,243,
212,831,629,496,514,900,135,716,892,833,379,414,982,113,807,488,618,029,831,
851,834,550,705,276,210,224,675,035,234,534,891,527,993,829,701,861,297,871,
872,000,023,476,927,625,174,082,342,053,203,902,759,759,328,472,635,740,405,
552,774,387,500,676,014,720,415,846,074,106,411,612,526,780,905,323,733,570,
904,698,082,733,471,274,036,175,503,701,401,053,035,370,938,487,573,397,015,
421,668,296,563,027,125,352,531,898,347,126,732,763,932,397,927,030,774,211,
010,936,800,195,485,255,633,746,708,527,157,926,280,013,039,047,186,293,736,
128,195,750,869,359,417,216,590,205,614,963,165,826,028,081,463,020,863,976,
522,122,037,228,868,120,829,800,035,583,967,482,451,406,297,761,872,286,314,
614,988,201,919,072,900,644,717,330,366,126,820,970,526,926,980,593,922,984,
742,523,065,438,013,416,715,589,006,515,499,355,944,737,870,102,197,227,652,
870,930,619,690,781,261,336,257,377,532,805,727,624,938,416,004,676,309,351,
732,805,719,361,864,520,474,154,180,383,081,271,535,050,758,997,094,659,345,
871,352,112,799,939,595,992,893,633,959,461,901,398,699,267,665,690,161,864,
198,920,541,846,751,046,351,006,475,094,049,865,372,576,154,522,359,654,126,
516,775,344,228,680,340,892,138,989,712,420,107,506,427,772,720,484,306,581,
690,664,457,717,851,950,758,850,983,441,994,402,785,531,044,427,694,922,000,
224,101,629,650,870,713,293,940,225,987,082,128,103,172,739,078,413,642,044,
253,874,750,176,480,132,185,966,029,483,821,315,928,079,735,389,967,227,728,
800,218,705,834,026,838,719,942,100,742,714,957,158,248,722,954,287,346,900,
961,977,952,923,975,667,686,949,740,054,421,462,314,399,454,630,517,877,121,
746,435,508,714,811,396,140,807,565,830,123,203,441,635,578,400,954,914,416,
332,588,470,765,090,675,529,899,010,031,912,116,099,860,356,633,461,839,715,
606,392,987,064,438,408,987,045,465,484,656,759,691,215,418,543,226,147,342,
351,625,400,042,621,053,803,119,766,248,657,433,163,036,787,451,160,641,857,
323,131,546,654,093,283,411,204,783,686,573,908,842,997,900,038,001,843,012,
080,306,682,204,100,018,338,673,893,544,387,229,891,398,107,111,089,002,031,
275,364,014,447,533,440,718,063,641,277,057,288,415,057,091,074,842,341,724,
433,412,493,753,339,272,844,038,383,694,286,262,683,772,754,209,674,779,293,
552,654,328,376,681,244,401,310,433,804,415,486,890,342,688,982,297,244,258,
725,870,028,071,601,511,492,482,036,890,906,681,595,471,716,272,657,045,580,
659,700,304,344,234,690,531,603,376,600,232,484,397,962,057,679,959,275,465,
718,172,981,594,663,145,947,423,954,292,859,475,542,856,201,468,814,185,930,
623,621,020,942,174,376,568,115,548,163,339,203,339,683,105,060,782,030,501,
823,442,313,182,467,852,567,191,690,486,975,849,232,346,245,008,969,852,495,
621,784,971,906,891,445,119,668,891,385,522,146,282,338,210,910,094,829,892,
323,336,309,893,341,751,540,314,033,928,911,239,643,457,310,128,785,056,937,
354,233,897,305,144,479,526,542,985,107,523,264,027,796,767,855,734,616,454,
515,077,510,947,701,609,512,934,892,544,808,416,092,954,758,272,683,046,895,
130,366,184,966,482,990,028,491,278,620,012,387,569,791,325,290,279,223,032,
006,828,260,024,707,495,230,881,253,032,252,647,925,597,495,687,282,563,411,
508,089,984,774,342,796,200,797,549,676,939,506,525,882,142,610,494,787,740,
805,145,366,031,292,302,553,573,319,398,273,439,515,906,094,598,059,866,732,
975,347,895,407,585,751,961,434,417,593,221,379,112,756,051,154,155,640,042,
921,911,945,993,474,837,862,154,980,360,755,350,549,864,453,358,247,475,831,
502,759,823,468,633,319,856,082,961,792,266,314,095,823,064,819,830,933,281,
087,363,472,213,764,751,235,254,894,203,636,443,630,864,731,557,579,305,302,
719,569,505,579,193,894,727,010,833,093,320,220,830,547,856,833,132,975,408,
426,564,311,780,539,937,031,600,630,165,106,474,405,128,251,109,399,485,353,
748,576,180,841,454,194,090,458,607,081,357,389,742,404,377,250,707,163,890,
164,451,046,681,507,937,180,041,266,790,653,010,666,341,715,594,953,700,920,
121,100,742,695,620,339,821,675,148,298,921,457,857,072,703,522,232,476,659,
530,896,731,910,585,821,268,480,727,802,281,232,896,305,607,981,240,060,122,
405,366,869,347,861,008,177,859,700,656,353,986,468,279,044,312,070,634,604,
782,090,766,321,121,902,724,014,886,869,556,548,814,423,343,673,499,067,311,
228,404,894,169,020,951,743,396,494,590,167,269,527,299,618,315,371,143,927,
510,185,385,613,629,065,225,590,299,070,885,689,537,000,331,682,476,980,458,
254,874,683,790,612,068,443,850,657,322,664,737,131,594,846,880,441,074,358,
402,020,134,742,898,052,323,255,125,479,781,403,778,338,027,903,026,625,711,
240,607,363,562,891,688,607,804,352,707,383,105,315,462,262,553,317,157,180,
479,470,749,174,989,920,900,334,960,698,869,124,822,426,878,463,751,121,896,
968,072,181,380,692,420,756,720,853,907,977,554,623,873,558,909,754,693,712,
507,886,799,596,646,682,488,833,606,494,106,423,833,074,413,297,128,259,854,
763,189,852,085,827,335,748,441,494,531,210,533,149,325,055,963,078,834,535,
197,377,330,861,284,763,213,280,858,382,961,704,363,314,788,984,456,975,874,
304,738,579,408,554,009,913,487,235,954,271,289,211,907,912,603,548,286,270,
994,313,989,274,549,765,986,195,301,063,260,691,956,182,490,446,810,225,996,
829,275,968,786,093,930,949,031,548,811,731,541,344,944,812,454,150,053,042,
913,971,358,251,542,567,215,261,068,281,920,881,442,280,129,275,018,086,097,
609,863,390,724,428,296,819,824,655,297,232,326,902,674,254,621,246,819,902,
251,377,425,559,229,553,796,386,523,636,010,646,619,218,957,881,016,181,445,
522,092,427,078,194,585,019,857,289,319,439,132,846,997,461,749,093,589,101,
335,101,113,192,731,206,968,427,505,417,352,297,088,188,512,495,195,376,454,
707,141,099,491,584,638,369,191,212,302,652,612,312,642,246,434,657,089,138,
016,061,686,380,851,834,994,519,727,672,646,080,667,549,733,179,232,507,281,
575,285,885,982,191,795,091,733,265,145,572,533,656,668,206,666,024,931,853,
935,864,698,243,592,852,153,877,574,406,077,418,438,469,687,071,773,331,883,
892,450,934,363,868,889,120,754,915,998,984,043,094,718,471,446,115,682,419,
995,564,053,827,788,501,784,140,127,006,582,280,391,667,894,863,701,609,364,
226,449,828,705,786,622,866,802,807,401,497,277,937,456,377,697,182,173,618,
442,958,371,431,932,490,874,996,906,956,619,901,011,759,616,223,266,880,879,
266,137,968,565,017,671,155,509,904,491,122,002,555,030,342,484,673,743,153,
959,463,582,224,331,641,066,672,377,265,346,870,242,062,547,451,413,244,238,
705,295,493,994,445,192,182,583,331,048,481,756,932,833,346,725,005,584,373,
944,442,998,955,034,854,774,799,861,326,740,160,535,344,919,635,073,878,001,
238,576,114,472,217,545,060,995,249,908,307,319,624,971,465,908,489,190,986,
814,547,145,873,129,080,792,867,249,152,215,413,720,498,369,130,096,087,902,
101,110,624,813,202,705,289,460,858,507,832,175,896,464,081,700,784,277,002,
822,534,329,202,617,392,257,173,345,141,887,869,335,800,815,430,236,687,177,
075,369,501,248,563,469,672,172,441,581,594,955,197,487,348,347,078,025,295,
245,036,971,174,913,410,232,178,839,961,145,548,227,777,972,749,879,604,328,
648,689,325,998,204,785,853,866,064,098,072,747,520,191,451,294,235,121,299,
685,442,084,998,359,947,473,361,137,208,486,561,339,699,379,161,961,497,841,
322,964,887,170,573,359,708,816,772,347,198,138,295,289,672,136,849,907,901,
601,472,449,999,895,108,945,885,480,928,421,980,529,423,226,860,753,762,096,
491,245,765,139,586,345,883,983,359,008,645,581,784,560,535,653,621,969,855,
244,118,592,062,538,943,901,488,613,922,392,276,863,070,746,696,785,136,788,
802,548,695,127,668,729,464,418,509,577,198,761,528,719,621,066,971,560,976,
563,689,472,688,901,527,463,084,187,393,170,428,738,095,922,686,418,118,345,
712,341,000,420,659,217,700,700,338,192,446,581,865,371,396,409,261,536,542,
001,393,810,272,415,657,578,707,009,705,828,028,343,210,801,437,351,290,436,
752,948,184,257,708,844,784,163,702,332,863,974,719,283,994,894,628,168,761,
433,335,262,452,644,931,892,783,829,474,261,605,673,519,865,728,232,583,195,
457,527,528,474,472,620,332,897,481,828,919,343,782,615,962,189,146,510,752,
319,662,609,646,614,545,595,919,877,819,915,776,689,020,855,176,916,673,487,
518,738,854,096,923,671,100,819,327,154,020,973,891,856,974,828,259,233,581,
917,762,512,258,046,743,606,580,317,388,424,578,217,232,423,473,135,051,387,
078,093,861,988,671,747,507,460,870,745,746,202,426,139,209,397,108,290,365,
848,389,200,145,105,727,214,736,144,362,961,318,305,994,944,055,783,578,451,
816,003,676,781,998,618,986,308,394,037,706,567,194,203,828,447,873,098,687,
348,904,586,773,894,009,829,920,859,537,330,092,280,520,656,064,912,689,037,
440,933,601,143,485,194,376,454,883,093,462,197,095,867,261,316,629,135,223,
968,740,146,291,545,238,459,909,201,615,842,499,600,486,555,488,314,562,294,
607,393,540,146,209,686,371,139,905,538,191,563,465,027,517,638,717,492,362,
666,544,876,720,584,098,653,186,926,827,378,332,340,875,980,862,645,702,860,
263,552,380,423,916,800,825,799,383,162,975,929,081,935,931,790,581,112,500,
818,490,149,207,541,019,216,854,395,342,947,208,209,225,404,354,606,214,320,
421,135,586,371,473,218,712,012,321,608,930,336,863,544,307,080,530,900,976,
164,124,435,104,742,798,352,188,004,355,077,724,712,290,210,577,554,261,256,
543,233,681,074,150,878,985,692,920,437,923,071,390,840,245,199,832,690,710,
381,975,004,861,991,479,689,015,129,382,419,192,901,774,905,669,214,835,908,
446,574,648,497,529,918,515,129,951,308,177,641,730,699,112,123,582,248,489,
795,921,994,063,607,540,453,349,257,321,554,918,791,623,477,107,652,059,678,
495,689,346,232,605,067,329,520,858,142,177,753,830,395,568,393,620,686,479,
116,943,500,289,432,728,002,409,230,619,754,822,589,658,271,220,424,432,944,
194,359,342,932,570,834,574,788,436,767,091,514,274,608,621,786,384,286,436,
427,758,935,792,586,111,091,744,086,988,692,869,675,860,719,983,439,610,195,
012,768,284,635,995,506,986,702,036,320,247,765,809,700,540,800,847,990,065,
514,510,966,343,455,793,675,371,195,269,984,813,091,056,360,715,984,873,404,
270,764,503,526,931,524,919,452,275,906,940,997,341,774,318,792,671,586,685,
509,883,739,293,544,922,203,493,344,910,255,469,346,075,514,840,553,015,787,
560,783,339,664,815,822,259,773,202,590,117,726,735,725,047,508,727,819,761,
323,479,791,147,723,683,373,921,049,240,096,949,203,364,298,146,930,659,600,
952,851,185,836,782,215,172,655,861,112,986,516,981,775,868,933,315,686,117,
096,421,642,910,556,747,719,650,075,213,840,577,501,338,943,261,799,474,545,
248,456,581,061,225,494,679,840,233,706,706,428,779,129,696,707,390,438,953,
649,716,836,585,835,011,928,052,686,300,502,399,956,984,590,868,784,026,795,
265,062,775,357,188,318,712,324,801,845,688,227,561,819,718,787,141,158,270,
483,753,847,953,172,988,820,270,643,776,181,851,546,029,599,429,472,567,710,
655,060,520,499,335,020,324,930,205,363,416,394,417,945,205,508,869,510,255,
784,913,090,481,450,797,369,389,588,633,757,834,189,329,962,223,051,694,529,
633,339,190,575,887,765,837,427,255,769,105,011,733,682,425,052,918,971,528,
673,125,492,320,804,469,794,757,964,635,189,092,170,393,308,341,371,522,827,
071,077,180,167,987,194,048,070,008,443,102,648,880,395,562,511,061,010,095,
501,456,979,714,345,021,901,967,933,470,405,710,724,573,673,838,884,493,339,
660,647,699,649,718,805,773,398,776,261,664,663,498,963,646,703,229,925,138,
993,298,819,919,502,887,439,381,957,067,225,288,556,669,513,297,690,938,639,
857,143,892,443,165,448,041,174,011,245,813,748,994,262,784,090,492,963,906,
416,959,694,568,496,156,289,524,651,125,486,279,415,361,409,853,879,727,216,
480,999,641,371,240,969,708,503,037,981,982,633,619,261,681,182,198,602,111,
399,290,458,797,991,617,503,186,843,767,828,341,550,433,431,442,502,166,581,
596,532,468,929,489,213,733,925,276,094,027,184,336,740,785,121,326,077,601,
182,582,208,388,047,329,026,058,166,803,879,926,706,874,428,379,817,708,751,
264,357,085,645,620,659,252,114,154,403,392,330,379,662,201,960,518,628,732,
244,030,287,920,296,029,209,362,961,979,009,536,757,687,871,347,746,323,217,
666,001,216,144,953,218,653,610,747,533,459,648,456,275,915,663,643,441,195,
656,863,155,925,016,171,497,363,229,843,274,911,612,016,424,621,204,927,240,
504,064,690,264,170,737,071,311,184,746,949,951,621,669,139,234,348,939,521,
515,326,877,085,610,122,946,607,331,922,141,776,674,953,464,298,970,952,540,
008,562,611,908,744,596,897,856,040,789,836,846,823,899,359,173,397,985,936,
800,041,667,111,469,267,980,022,762,561,061,733,082,111,207,347,829,081,471,
198,843,265,676,715,945,070,361,474,140,595,830,899,479,622,087,749,183,213,
620,605,141,974,978,565,255,273,479,143,990,248,669,744,782,683,263,287,349,
935,575,580,904,272,798,867,769,788,152,054,506,161,067,453,348,236,688,644,
518,422,183,476,252,655,695,910,453,169,126,073,463,751,878,977,779,184,354,
910,988,988,306,423,475,662,111,680,802,444,609,927,697,957,401,869,482,348,
525,579,760,584,977,442,382,662,996,882,167,993,303,087,258,421,645,267,506,
702,904,207,342,147,706,670,111,982,207,255,180,405,461,661,002,798,134,760,
283,143,623,632,894,949,106,458,968,317,309,341,421,755,127,769,530,721,115,
282,967,257,194,647,547,926,522,266,208,725,455,893,034,360,287,376,756,543,
492,913,549,465,792,254,822,845,648,370,831,937,996,558,559,874,809,888,334,
901,372,212,918,728,070,821,243,123,941,519,770,089,453,213,200,179,413,518,
155,141,468,786,122,111,792,460,231,643,241,468,240,090,247,329,450,454,206,
386,305,641,482,413,348,762,919,302,300,977,965,124,563,223,305,403,064,822,
666,908,987,968,360,915,157,755,530,988,654,958,879,383,339,854,249,514,691,
220,416,276,336,055,325,617,536,640,859,323,884,602,598,105,852,593,549,081,
551,194,827,254,141,063,435,689,224,029,192,817,602,923,528,428,996,722,734,
451,329,156,594,122,518,029,752,681,154,456,922,430,682,543,954,554,599,678,
251,464,854,805,139,031,092,063,334,001,458,368,947,516,714,967,634,375,936,
359,810,089,522,789,518,340,971,120,813,121,231,551,954,878,871,190,681,602,
633,362,830,798,126,932,545,929,057,451,975,324,535,717,187,369,440,295,338,
961,042,958,903,402,109,787,043,574,319,428,858,028,362,162,352,669,689,334,
103,870,447,671,806,437,646,597,604,555,597,184,070,957,671,725,324,264,160,
644,711,752,776,284,960,165,242,702,461,599,393,742,114,775,048,282,705,101,
652,888,554,825,870,583,409,364,568,788,063,164,495,904,814,588,689,022,525,
636,981,084,846,955,723,261,250,405,107,205,470,769,355,792,157,245,163,650,
442,491,083,625,522,811,449,300,547,229,581,234,497,358,829,200,221,672,332,
306,549,332,988,895,300,449,903,755,375,649,841,032,776,342,652,161,004,279,
787,901,728,553,285,919,408,014,483,056,961,238,681,833,998,052,230,856,835,
392,484,911,276,957,797,847,358,634,528,622,248,560,771,420,112,884,287,996,
057,685,330,456,661,756,688,208,495,290,280,381,565,879,393,172,944,939,857,
059,590,203,649,503,699,548,374,044,134,814,017,648,452,285,895,231,347,011,
432,744,398,140,749,749,984,266,203,968,206,611,551,979,122,557,739,805,478,
889,751,105,299,129,583,468,963,174,790,196,766,134,624,591,099,335,017,644,
588,442,018,305,578,724,490,297,818,994,001,591,394,646,718,869,071,587,842,
730,908,907,864,037,592,473,785,540,011,403,045,183,997,747,888,295,656,585,
577,092,368,775,886,761,861,678,177,388,213,884,792,809,092,005,860,446,525,
171,107,033,005,855,352,826,368,599,638,612,924,280,412,940,595,860,020,516,
676,424,333,720,818,436,060,076,140,024,374,413,936,170,820,687,153,416,435,
155,574,216,406,935,184,695,393,123,167,707,870,281,016,252,763,618,651,235,
982,923,245,773,346,091,714,574,479,825,475,087,970,903,162,565,990,511,262,
219,842,612,032,331,339,041,931,524,688,008,587,657,403,118,496,914,316,981,
451,604,136,489,021,045,214,709,394,402,534,167,595,521,336,073,985,171,447,
831,053,019,396,272,320,505,929,883,375,538,189,776,787,132,472,478,463,082,
482,972,454,476,231,702,518,245,846,921,507,742,172,620,525,179,099,331,507,
001,874,792,492,467,150,801,835,263,997,081,343,879,511,419,010,654,624,274,
943,586,702,398,201,376,666,621,616,846,255,641,665,858,509,842,998,326,701,
903,902,933,567,162,798,619,363,308,645,283,617,461,131,771,290,188,804,241,
094,505,581,336,085,261,354,125,834,878,054,721,610,233,558,789,581,898,512,
382,561,273,466,287,357,320,209,297,255,622,105,167,779,089,351,199,721,287,
057,470,270,836,923,734,610,632,144,065,097,646,752,707,305,300,266,160,501,
450,666,325,094,462,500,185,967,711,320,792,632,598,098,332,250,885,677,273,
664,956,720,952,904,536,247,677,241,961,031,084,558,824,447,658,219,153,476,
060,356,757,656,979,803,993,003,814,674,669,373,574,507,512,698,717,288,554,
259,615,724,292,456,120,868,256,083,149,741,061,229,262,132,222,937,535,720,
913,941,333,641,189,184,476,478,035,356,961,026,849,422,560,288,064,462,759,
086,295,111,643,985,593,944,976,808,047,905,054,917,327,513,052,023,643,458,
276,657,671,772,649,426,194,630,610,014,007,761,784,449,121,465,114,394,719,
771,572,656,463,292,269,266,428,003,963,041,434,278,515,513,721,997,697,162,
790,149,725,573,675,590,599,155,275,678,093,332,940,618,463,939,979,529,990,
953,349,282,335,554,220,102,062,665,256,895,812,336,011,162,012,457,651,365,
423,490,216,966,681,620,751,172,694,279,904,425,145,095,731,720,576,755,217,
739,890,176,386,745,078,707,438,587,052,033,869,089,324,748,620,593,228,243,
113,802,837,740,593,496,281,889,305,313,024,553,864,380,791,363,585,616,708,
125,146,708,637,168,267,542,432,740,068,459,270,244,997,351,348,964,968,614,
764,726,921,642,444,330,686,399,795,906,982,947,090,854,585,857,253,992,751,
229,894,926,575,285,162,241,824,375,964,478,883,545,341,263,364,237,863,932,
495,741,493,930,479,110,532,479,479,567,298,524,242,295,718,890,501,384,233,
151,836,895,067,790,054,637,689,495,164,530,868,132,624,547,158,206,312,877,
678,143,187,761,949,227,222,892,815,503,525,602,042,232,860,503,457,344,322,
317,628,917,257,160,674,221,850,675,423,594,304,163,048,806,736,133,818,453,
747,727,803,256,316,710,267,110,666,095,030,474,007,689,620,879,785,899,359,
816,719,609,046,151,123,900,983,305,653,227,970,822,544,671,331,773,824,122,
906,680,235,657,145,942,907,403,038,914,055,669,870,168,933,224,873,906,763,
259,139,040,581,481,429,912,368,794,106,277,770,484,171,050,854,144,681,113,
417,786,972,179,758,723,830,664,431,488,450,326,050,866,531,378,748,777,260,
565,195,197,262,900,707,923,839,113,183,614,776,329,891,863,018,107,092,193,
500,462,262,030,424,623,858,413,646,978,398,557,485,080,816,348,055,362,829,
900,981,978,792,579,075,688,119,658,169,300,391,673,444,460,282,222,362,904,
299,461,142,613,895,442,324,035,631,394,605,298,150,269,339,115,902,708,957,
893,548,140,754,435,317,398,233,334,350,465,571,016,556,015,853,177,390,289,
425,627,550,616,635,659,064,779,047,188,944,052,955,951,643,713,031,440,420,
409,837,954,288,253,429,873,211,966,578,598,203,522,222,985,443,857,854,544,
411,681,924,195,378,286,597,640,603,901,034,043,855,859,980,984,322,219,386,
693,243,464,750,877,663,783,731,943,604,321,597,169,879,852,145,066,453,788,
209,916,067,276,981,415,032,487,037,256,508,810,112,596,493,615,763,553,580,
171,256,674,701,633,707,090,469,977,670,321,082,374,551,906,806,042,427,128,
429,697,669,884,986,746,196,920,065,832,607,955,938,166,571,049,857,807,869,
950,651,887,351,043,196,105,498,294,656,544,911,775,736,972,293,292,244,604,
059,571,891,812,988,355,912,001,624,927,616,550,903,890,851,703,685,392,633,
766,547,568,074,670,866,938,658,672,074,629,822,410,409,212,827,493,512,526,
372,423,765,848,613,056,418,308,795,969,021,431,178,577,450,838,395,816,373,
985,405,964,507,330,828,645,968,286,137,234,781,893,630,933,838,675,524,949,
902,367,571,899,602,904,523,940,709,894,485,375,484,366,909,728,192,464,416,
271,526,140,157,426,192,628,662,050,359,417,088,352,686,728,394,295,129,351,
754,443,649,555,840,123,624,819,311,762,866,966,953,803,103,692,610,305,466,
103,356,758,558,622,533,732,501,173,252,690,870,878,557,915,982,267,079,185,
597,127,196,218,721,190,707,882,886,126,616,190,300,090,254,759,534,997,002,
917,630,629,004,274,587,734,417,548,886,039,307,683,240,451,277,393,712,638,
646,837,972,995,553,813,380,988,137,477,916,688,718,312,965,747,989,537,503,
424,040,053,894,252,418,890,756,638,524,408,675,824,095,939,607,442,320,256,
235,563,100,918,048,621,701,449,940,871,071,119,706,897,874,819,037,914,655,
864,211,389,765,748,909,873,412,962,285,871,955,889,960,166,386,614,133,336,
138,357,660,572,072,903,154,488,969,315,778,520,427,580,971,539,969,618,821,
289,077,994,297,697,632,022,057,215,937,103,200,211,492,371,709,664,860,070,
779,817,536,707,170,369,752,048,172,158,726,655,214,972,600,388,507,493,725,
416,461,889,983,193,495,986,271,951,683,266,650,689,171,268,279,507,529,450,
318,772,053,644,454,306,858,169,491,104,821,000,070,605,312,885,198,309,560,
897,370,434,214,175,263,515,110,751,909,780,719,013,497,846,864,994,365,496,
719,154,028,239,479,414,373,075,130,035,132,132,556,600,545,793,970,616,271,
332,483,550,153,691,670,602,290,348,802,403,344,407,774,608,380,204,139,631,
058,442,605,645,370,423,804,392,488,976,448,727,791,057,459,524,434,801,711,
703,328,259,602,067,388,339,055,654,803,818,123,966,822,575,113,578,047,188,
632,626,379,475,555,843,299,727,323,368,494,148,162,683,189,273,399,010,408,
875,771,823,994,921,608,722,890,974,794,753,986,508,210,444,020,381,359,027,
216,792,911,585,049,806,948,407,137,190,994,623,007,369,611,688,658,045,676,
727,943,351,048,447,512,837,708,330,332,127,138,327,256,109,260,697,224,373,
892,989,124,143,551,073,237,106,066,953,465,622,343,956,743,632,059,140,294,
622,364,001,648,808,829,432,245,691,555,375,815,398,833,057,415,218,995,775,
907,810,970,059,713,530,084,301,266,741,605,532,142,625,287,640,583,544,346,
904,389,957,700,353,996,218,112,912,821,535,388,071,979,999,792,399,500,564,
224,327,431,759,546,762,195,364,455,365,854,880,712,464,105,011,520,461,160,
090,707,806,108,365,066,439,693,059,196,221,163,442,567,047,962,983,640,028,
140,666,855,381,557,814,337,620,620,494,608,330,440,318,817,776,137,521,219,
741,740,917,736,030,751,420,955,651,195,140,912,224,928,386,679,412,969,473,
178,284,084,061,618,219,490,660,422,697,859,461,567,862,413,893,612,315,611,
146,800,105,698,112,415,943,722,148,396,863,353,930,397,325,443,266,997,326,
973,532,663,922,943,661,155,561,936,854,644,870,097,983,589,801,339,000,395,
199,197,276,201,455,163,618,589,503,140,225,355,694,325,799,565,200,020,925,
126,776,464,684,458,912,012,741,323,405,172,166,849,927,021,166,810,117,749,
298,248,499,083,012,890,610,524,785,481,341,807,212,970,790,390,070,777,400,
748,697,232,061,276,167,177,957,912,569,148,353,251,824,573,918,798,780,448,
237,532,401,570,443,642,578,046,166,953,502,652,807,453,230,711,647,693,547,
576,122,804,598,318,519,234,081,370,637,154,069,847,517,390,757,460,465,175,
136,150,909,597,188,581,538,986,425,245,389,171,612,522,819,961,401,390,428,
135,542,062,958,112,238,542,273,779,833,338,774,071,474,145,744,737,817,673,
164,264,700,206,996,477,228,703,317,591,993,611,645,753,755,662,731,100,495,
444,135,086,743,967,898,214,552,903,931,227,672,302,277,188,503,306,205,902,
145,004,010,984,823,281,237,218,259,558,457,721,333,213,044,333,740,515,745,
230,735,984,661,907,503,296,119,556,424,669,426,966,387,369,987,309,881,551,
860,276,192,459,770,596,978,271,743,800,546,340,180,148,898,286,170,254,867,
069,524,750,691,481,050,245,367,593,980,383,387,583,977,435,910,962,131,959,
882,973,534,221,374,385,773,259,127,871,787,675,419,134,853,193,477,273,753,
900,779,601,752,369,649,472,697,727,832,606,983,345,127,009,287,876,734,145,
718,882,537,879,408,032,379,077,246,955,383,544,903,932,246,238,364,893,384,
309,411,318,350,929,385,933,386,216,819,145,656,728,698,663,461,649,717,189,
845,333,313,885,707,371,443,072,497,239,577,981,089,219,281,806,808,319,883,
319,528,741,060,661,879,294,403,909,982,782,141,242,351,413,560,730,854,880,
963,740,119,661,936,528,988,719,222,163,028,374,782,677,258,908,976,325,888,
443,638,385,331,009,416,641,029,535,417,842,516,928,703,450,273,779,449,359,
941,650,724,551,028,642,013,905,550,324,050,205,877,112,313,298,569,458,697,
052,994,891,970,406,446,441,494,046,249,443,906,483,184,973,425,144,634,717,
417,042,984,148,710,750,176,263,256,626,432,941,198,379,117,817,583,863,170,
222,628,827,673,586,332,978,221,567,046,648,699,485,916,451,262,294,780,621,
542,536,209,128,087,195,701,264,863,179,657,236,881,095,326,793,491,597,006,
560,144,397,150,681,536,427,982,876,994,142,257,363,638,434,858,413,946,914,
543,572,000,509,118,541,372,504,632,338,520,222,705,495,559,191,806,813,156,
346,162,356,948,717,265,232,479,009,808,073,270,530,307,741,123,564,975,295,
168,038,850,845,448,568,281,064,336,772,400,630,685,560,301,143,595,839,740,
800,989,514,856,094,954,923,148,788,801,552,510,004,692,028,577,653,758,203,
910,436,406,696,347,211,678,955,953,811,709,668,987,112,393,569,473,575,322,
090,363,566,571,208,724,636,459,525,545,219,896,049,205,742,881,426,587,919,
116,211,986,166,852,394,377,441,483,568,862,291,505,328,824,122,166,817,636,
028,343,302,648,696,642,316,111,333,313,735,030,868,269,455,605,192,840,795,
213,103,880,636,482,997,533,898,719,269,810,399,945,747,497,137,557,765,999,
587,946,204,479,024,831,334,456,919,331,725,656,629,952,717,553,969,755,408,
425,451,379,008,829,741,324,291,005,042,431,253,424,240,401,017,551,945,419,
341,359,252,922,434,612,348,046,924,863,261,803,139,709,835,528,253,253,846,
270,566,943,814,831,917,518,401,696,438,362,267,648,949,672,755,432,526,113,
470,582,615,149,734,375,356,327,635,775,452,703,902,326,507,575,880,539,415,
533,971,300,859,490,304,541,036,640,599,433,634,889,610,788,491,737,780,040,
635,340,226,910,392,284,216,294,711,553,756,550,208,448,894,246,477,073,482,
775,032,869,589,901,505,458,249,697,840,667,878,048,190,531,668,933,608,987,
953,741,118,851,857,173,804,894,856,885,724,047,168,415,179,495,410,141,444,
536,372,607,452,461,229,946,154,497,807,010,227,880,507,105,228,906,246,797,
577,335,077,039,827,228,480,817,861,271,075,382,505,087,517,787,197,225,969,
573,668,607,662,593,890,246,042,145,406,703,192,638,237,772,324,005,362,910,
029,463,078,629,084,956,437,779,959,582,155,745,595,290,077,478,978,357,942,
051,163,272,422,888,934,821,381,167,645,072,540,549,107,488,376,072,818,517,
446,398,128,929,493,007,619,665,450,588,336,154,557,078,638,431,330,777,486,
838,026,781,746,711,964,373,037,522,080,686,864,956,669,671,398,307,035,472,
090,448,216,830,432,602,524,536,778,761,533,169,452,452,604,362,705,822,533,
714,931,234,166,701,092,460,696,825,464,699,631,310,240,685,544,343,877,842,
407,489,742,176,304,571,847,307,228,781,156,743,961,493,780,397,577,619,309,
126,085,777,853,247,655,678,500,185,656,665,543,782,789,101,472,921,647,044,
214,897,260,071,945,833,797,993,643,631,824,473,744,156,502,927,162,198,473,
853,746,631,742,089,275,916,878,342,897,702,958,305,131,403,783,751,154,670,
059,889,966,929,944,419,286,595,444,941,080,076,521,628,800,585,525,042,183,
813,410,035,030,692,459,000,907,848,750,054,359,088,328,407,914,462,532,542,
478,153,930,093,604,360,164,114,641,229,756,486,822,158,516,156,628,052,069,
118,653,495,260,174,018,101,165,265,937,826,413,042,953,940,639,993,509,359,
204,845,283,627,031,391,674,443,424,343,460,856,904,639,031,857,866,844,418,
248,104,549,965,334,662,541,873,676,948,009,477,447,216,033,774,029,289,901,
084,742,383,010,405,646,075,091,655,152,896,625,407,501,033,968,639,008,786,
602,820,334,017,039,795,113,745,426,040,168,637,394,195,097,211,390,147,093,
256,015,965,414,038,886,778,437,915,081,916,242,636,481,240,216,309,241,708,
024,529,501,997,846,644,335,943,556,060,497,893,694,555,400,595,884,968,574,
245,402,206,667,064,489,809,180,272,809,413,410,241,442,128,553,870,565,605,
548,998,307,175,995,719,780,227,297,396,095,114,799,067,764,904,767,915,126,
720,200,441,864,830,256,923,832,216,948,760,628,774,527,709,210,289,256,668,
411,865,902,920,785,903,965,897,412,057,527,023,533,237,518,237,360,133,987,
538,437,612,214,089,144,144,655,424,842,480,602,329,316,095,744,530,221,324,
916,507,716,480,810,729,366,766,899,941,695,716,493,658,642,736,833,675,239,
491,904,732,364,369,794,633,858,974,044,246,359,509,488,607,147,776,983,510,
341,627,068,126,888,004,958,925,772,261,808,191,831,013,237,802,499,509,382,
166,868,350,189,228,792,198,032,125,520,798,541,257,805,705,996,287,659,494,
454,787,290,047,741,576,052,246,121,827,454,448,912,118,397,968,666,900,079,
735,140,476,687,414,609,749,416,597,433,675,255,824,963,962,151,676,343,834,
075,217,966,129,635,255,138,488,091,975,900,502,519,927,837,222,925,887,668,
740,150,133,949,412,592,345,580,803,615,886,479,894,245,485,345,046,436,691,
040,573,545,207,093,937,021,378,906,506,878,091,945,359,497,358,415,561,448,
991,323,225,388,033,262,615,124,909,108,046,612,160,793,599,189,594,347,817,
132,420,514,750,750,606,360,344,266,023,757,545,476,155,227,336,934,665,219,
335,895,853,336,214,185,227,030,629,472,124,578,044,156,677,668,441,178,775,
407,270,360,492,723,795,953,003,360,102,511,222,942,606,700,638,500,792,696,
080,738,849,496,167,768,736,062,190,419,348,793,339,118,237,497,727,413,515,
385,113,391,141,280,887,412,636,199,451,612,708,344,244,543,239,170,962,097,
677,205,401,690,313,102,054,749,040,911,044,525,558,672,336,931,740,670,521,
414,609,750,233,429,373,523,564,236,621,170,770,943,452,680,581,612,465,262,
840,222,058,742,695,145,597,334,708,355,736,438,096,125,003,044,309,130,870,
483,060,276,318,707,178,363,677,794,834,179,575,829,307,147,470,782,163,861,
645,607,274,763,079,362,880,774,698,885,093,384,759,973,332,324,405,865,412,
591,555,867,492,235,214,444,301,207,833,611,498,139,030,473,378,363,874,220,
482,503,483,682,075,227,320,461,212,640,648,283,969,186,446,885,414,469,508,
325,770,898,296,834,427,360,506,774,738,299,168,058,779,381,662,578,696,160,
379,136,137,934,787,295,830,845,355,785,389,788,499,893,487,700,236,146,350,
884,960,743,211,928,811,425,864,234,286,208,975,661,533,196,669,107,293,839,
571,652,764,242,016,479,459,873,708,670,817,318,031,843,742,403,814,505,559,
586,018,975,666,314,942,734,345,439,857,923,278,978,679,219,288,858,967,876,
973,207,933,317,894,125,701,687,400,119,849,954,567,864,155,853,739,489,150,
178,386,119,918,036,699,741,269,519,435,645,600,674,365,994,044,457,902,683,
759,549,995,173,304,573,119,830,892,661,706,428,007,196,270,207,723,347,816,
457,135,276,760,351,143,395,569,702,360,918,560,542,965,537,115,646,067,926,
507,014,028,863,901,011,551,122,715,068,057,564,800,495,321,443,318,842,378,
222,727,957,350,833,724,977,785,935,956,834,368,763,046,851,797,603,640,975,
459,699,662,659,321,150,376,938,419,692,188,218,674,454,367,302,148,011,429,
178,108,309,392,297,903,379,830,048,657,478,907,541,435,300,095,590,082,150,
322,888,287,793,650,575,479,416,679,943,701,401,223,343,657,206,613,350,426,
149,302,816,119,795,031,334,663,168,259,247,336,424,775,480,456,809,705,655,
238,815,325,142,213,444,897,160,993,163,616,459,538,852,523,410,215,100,210,
756,913,894,048,291,340,655,888,665,210,979,565,430,405,244,344,282,016,093,
138,790,299,979,858,797,015,845,064,830,301,018,396,604,456,427,170,738,743,
907,074,646,300,824,701,487,928,290,132,305,251,878,179,194,159,120,709,480,
230,331,102,955,348,397,450,915,031,205,831,432,825,142,488,829,125,832,800,
317,271,192,921,391,221,717,036,375,427,185,235,112,666,518,524,539,538,486,
148,015,462,037,217,561,810,729,191,063,783,762,440,932,967,653,545,118,116,
559,745,078,262,228,501,681,260,950,252,138,422,082,460,879,140,349,818,463,
196,906,640,497,165,101,696,874,994,691,590,328,484,901,465,908,890,855,178,
233,091,611,739,763,322,355,944,247,516,697,779,068,383,819,984,037,026,398,
953,667,605,840,832,645,609,254,110,988,916,809,839,495,405,353,537,213,275,
469,187,668,251,805,475,869,687,303,628,181,560,737,204,129,193,176,945,107,
722,495,067,532,577,982,002,742,593,808,984,699,060,363,274,876,222,151,190,
541,128,804,236,797,371,737,576,714,318,528,253,080,403,360,515,336,132,367,
277,380,235,029,451,842,073,121,907,087,120,162,727,552,070,140,876,247,178,
324,868,736,957,617,880,956,058,219,490,813,587,185,621,537,147,953,166,992,
838,845,139,731,452,755,486,368,018,840,065,585,791,057,929,930,890,295,856,
338,015,947,937,820,650,911,796,463,155,389,061,618,537,530,495,938,491,437,
216,863,568,501,939,297,163,925,966,512,721,709,957,497,362,803,177,957,297,
080,646,078,844,797,479,986,955,269,324,128,884,080,139,047,295,403,984,135,
229,642,776,611,137,720,020,791,022,611,046,146,285,949,268,902,299,892,564,
873,723,511,344,452,444,967,223,184,428,920,067,438,485,329,305,047,237,659,
157,798,864,565,959,845,382,372,770,327,958,916,465,199,055,716,000,938,493,
332,011,982,537,239,699,328,351,087,008,898,274,644,212,771,856,655,462,476,
219,104,032,942,721,518,508,364,602,704,966,784,212,225,045,663,326,295,580,
469,713,455,221,860,034,379,635,293,078,288,690,482,090,322,140,628,213,732,
431,150,767,503,043,639,822,914,131,674,473,435,181,305,988,312,218,167,759,
701,871,195,117,005,857,043,396,340,598,449,131,440,477,113,336,390,013,432,
584,169,736,483,029,073,586,370,906,414,764,951,943,924,866,970,481,077,587,
007,994,204,956,017,561,088,402,265,388,074,157,783,051,738,210,717,797,362,
078,177,206,726,645,897,365,503,649,469,864,730,004,635,557,193,547,708,679,
344,105,141,490,127,445,308,824,494,275,507,120,320,318,380,190,993,514,251,
408,309,543,183,540,969,427,908,394,037,929,743,928,540,246,822,699,458,581,
754,456,075,129,400,225,858,651,609,640,793,873,717,445,611,245,835,617,954,
533,643,301,011,815,011,407,191,250,251,577,791,605,145,694,526,892,797,971,
983,887,137,572,459,160,490,200,768,994,118,305,990,690,718,430,405,196,915,
353,194,764,243,318,629,178,854,740,226,693,339,737,315,560,319,474,869,635,
931,805,014,175,761,603,699,939,558,347,702,287,319,736,821,681,542,921,266,
607,637,784,232,154,143,312,914,868,419,097,920,092,804,727,164,426,023,892,
610,961,262,477,192,033,608,189,513,520,015,881,434,994,292,084,514,459,714,
609,056,511,413,638,793,731,029,906,719,427,511,415,227,870,351,761,366,205,
026,004,757,614,241,765,825,094,962,649,183,277,901,988,978,067,043,228,287,
592,791,851,572,860,077,247,520,429,313,150,002,981,121,530,297,847,949,057,
636,892,753,406,987,755,470,598,068,342,386,259,532,477,219,215,661,639,391,
278,626,837,866,756,529,257,170,607,430,048,777,680,150,615,621,907,555,794,
576,543,794,360,742,931,802,932,139,186,245,989,745,134,091,544,033,419,971,
268,269,663,853,640,473,110,200,388,250,283,677,859,654,576,846,542,364,002,
782,130,772,152,087,289,175,355,299,032,327,535,479,201,719,295,441,894,232,
657,626,436,693,357,270,086,726,286,018,082,282,480,018,298,333,950,453,996,
373,497,042,062,316,996,198,781,959,855,493,056,855,476,719,148,099,414,787,
640,126,291,583,614,048,782,358,623,552,638,684,868,234,032,327,159,700,744,
706,489,819,032,759,554,718,335,607,013,778,964,282,434,189,606,389,221,334,
766,747,012,800,779,364,380,177,063,502,991,651,512,940,712,181,768,384,222,
914,512,880,312,972,815,128,360,390,509,242,133,849,405,822,361,260,096,633,
216,757,142,536,790,278,864,573,409,053,833,278,348,458,514,753,700,966,782,
257,324,164,365,770,842,749,407,757,810,066,610,650,673,628,659,212,257,730,
727,133,315,557,537,633,039,243,615,704,332,291,490,419,414,073,797,092,297,
741,963,253,081,683,288,639,127,681,884,516,644,363,265,525,974,270,977,838,
730,389,624,836,937,094,230,067,743,984,338,396,173,275,268,931,766,282,073,
104,404,324,351,155,054,306,013,519,014,901,238,337,445,121,402,235,306,386,
136,461,513,905,761,861,504,377,372,680,507,521,422,662,091,510,480,860,790,
377,633,110,962,615,818,044,440,100,545,432,307,898,109,065,864,835,234,719,
627,654,150,316,490,593,136,525,162,728,474,143,120,113,172,509,719,651,629,
480,473,426,084,285,020,055,356,357,981,214,293,005,954,602,570,214,707,830,
963,204,543,979,778,565,847,955,844,492,184,819,742,178,319,053,313,361,604,
022,911,272,754,450,185,484,511,956,683,354,620,208,052,836,853,722,087,457,
081,765,718,280,444,274,813,764,658,397,592,123,954,335,872,752,169,525,618,
014,410,856,908,354,255,358,533,268,244,870,352,157,619,436,833,642,095,219,
067,605,325,506,093,608,407,589,550,922,701,772,730,299,639,608,650,662,485,
630,382,578,174,634,230,341,361,458,890,150,836,290,599,232,280,433,411,909,
427,590,758,679,621,266,491,740,927,154,616,201,690,625,412,395,495,184,554,
642,973,777,146,685,862,828,340,830,099,421,830,932,266,570,847,382,136,271,
118,856,506,515,655,102,283,637,384,832,944,698,972,837,998,286,727,542,760,
238,200,055,254,003,938,323,860,742,409,900,367,796,326,066,684,781,887,515,
845,866,798,319,277,890,370,765,178,033,458,278,115,232,964,390,788,467,104,
983,980,006,362,194,454,909,636,179,898,770,774,510,946,622,874,366,989,405,
045,234,967,174,497,316,657,496,681,617,550,978,004,676,673,153,800,779,079,
389,111,815,280,965,842,565,372,593,328,438,091,463,664,328,466,035,829,972,
796,892,939,407,607,494,866,230,088,575,657,082,385,211,434,900,899,813,445,
005,081,656,084,849,319,615,653,410,628,081,156,770,492,685,255,236,251,479,
826,859,584,084,559,652,440,447,914,796,178,081,033,198,113,547,750,794,892,
571,570,711,708,168,771,709,922,084,512,569,973,579,994,382,096,321,748,620,
735,122,442,105,278,577,509,871,638,604,586,801,965,767,068,280,995,282,908,
247,903,683,464,134,507,150,917,367,888,889,926,590,575,574,504,454,982,095,
942,642,043,622,185,764,507,343,476,027,927,138,773,141,551,520,624,480,931,
419,005,227,568,291,268,124,983,197,043,404,185,027,120,124,524,727,119,260,
636,047,273,349,877,882,906,429,355,604,136,518,492,993,178,092,831,303,731,
936,869,772,606,462,039,854,925,636,257,376,379,223,988,909,279,040,220,939,
502,922,052,862,746,740,761,408,168,395,869,517,724,040,214,620,050,222,314,
011,635,386,873,532,734,739,676,123,705,668,522,122,565,356,873,308,296,800,
387,321,248,178,978,042,549,788,773,367,304,280,192,669,757,967,495,275,251,
370,707,697,646,952,714,675,247,964,969,103,569,042,001,456,594,880,157,942,
996,686,343,731,835,136,322,267,733,467,103,615,010,038,922,326,503,564,949,
716,957,485,102,908,692,518,804,852,537,014,994,727,682,299,860,249,461,911,
583,970,237,421,749,731,583,595,566,793,964,193,131,520,122,658,105,506,643,
946,499,462,411,868,767,348,356,151,040,617,831,074,172,296,949,898,983,766,
633,521,435,766,404,884,681,704,494,776,976,133,789,884,737,174,879,360,593,
302,748,261,513,073,229,763,088,874,652,719,757,936,391,958,463,915,703,878,
363,420,845,906,003,293,307,556,869,551,937,035,937,688,133,217,451,348,264,
205,247,289,302,979,557,282,359,984,584,316,153,222,111,653,941,394,779,448,
706,587,391,803,415,965,587,150,226,286,611,986,087,186,026,444,515,504,055,
764,982,210,547,527,743,723,069,523,938,887,390,322,354,750,271,361,172,196,
311,680,231,325,182,289,997,360,021,978,926,357,397,242,067,510,782,406,943,
249,375,744,308,439,874,881,556,174,975,023,722,448,884,003,519,643,718,935,
490,794,016,686,891,567,372,876,181,480,247,225,298,314,661,641,684,874,521,
378,707,195,790,760,982,362,613,083,902,186,082,796,132,473,702,645,651,517,
682,850,552,713,517,238,368,797,298,606,839,381,265,200,059,620,680,758,646,
701,628,053,268,538,072,794,362,220,289,496,719,562,836,000,345,981,315,712,
742,115,370,503,879,957,827,795,138,956,860,957,834,686,221,435,500,821,756,
437,448,998,115,280,049,057,681,866,732,506,806,588,428,759,000,192,087,886,
486,059,768,989,900,958,374,112,325,200,765,973,625,707,779,554,913,742,571,
456,979,401,616,480,373,026,656,578,543,265,689,525,647,177,726,912,052,633,
828,251,654,046,231,514,210,633,902,633,086,764,160,869,424,011,576,581,139,
200,137,227,710,757,301,644,915,000,418,931,794,929,453,588,454,665,929,469,
087,691,112,463,929,171,048,669,177,719,135,403,433,271,054,148,599,354,039,
676,278,959,649,511,381,653,258,102,254,911,358,780,122,597,435,375,930,989,
344,781,814,748,043,587,907,756,600,414,076,663,882,725,895,429,676,200,865,
387,965,978,764,872,869,998,293,262,504,334,786,862,788,272,135,810,963,489,
509,353,495,529,550,126,382,932,193,498,695,942,911,391,983,811,423,324,899,
838,587,197,622,782,528,262,094,586,857,178,240,516,559,680,221,638,178,672,
033,768,051,794,503,782,401,705,348,143,546,943,471,104,799,094,272,111,941,
540,737,081,917,234,759,043,578,352,161,547,903,422,839,616,377,730,884,395,
318,765,281,360,783,331,408,940,331,856,358,286,859,230,122,043,921,410,993,
176,201,589,379,763,974,954,605,948,648,793,934,476,548,659,140,507,341,358,
308,668,003,813,650,379,934,216,538,057,951,443,760,567,273,262,509,228,247,
958,007,453,447,394,849,865,181,630,343,376,058,803,966,384,033,916,235,912,
774,929,990,142,869,872,767,848,746,017,521,741,264,356,438,646,154,038,464,
341,754,980,475,162,162,842,848,610,603,856,155,673,162,224,798,626,269,979,
050,682,716,997,701,512,780,879,479,883,575,132,086,032,728,802,416,609,361,
208,896,324,148,918,126,045,624,425,977,619,902,439,337,383,053,539,225,397,
632,730,308,153,998,263,645,504,583,052,585,925,817,268,033,612,574,701,063,
072,459,444,408,207,262,896,799,011,436,510,164,174,419,292,502,187,937,201,
574,870,914,533,367,367,277,685,618,415,652,684,892,892,638,407,568,820,395,
506,949,844,906,675,790,052,710,833,679,118,649,102,936,329,284,137,163,917,
468,279,148,986,533,692,862,270,839,386,145,028,740,676,883,485,904,031,672,
976,850,590,280,219,302,216,873,915,860,025,614,403,233,054,315,365,075,805,
609,353,204,746,436,370,667,986,788,676,206,176,654,577,437,186,730,634,638,
179,327,183,621,225,279,784,786,950,663,498,856,314,271,863,007,068,012,797,
225,101,722,585,969,073,646,181,094,422,307,126,648,806,263,592,551,564,105,
882,243,000,185,907,814,934,070,337,743,033,600,977,025,180,471,159,114,252,
710,060,642,194,171,631,387,366,532,364,179,449,371,464,014,614,222,373,588,
746,621,271,920,824,901,909,006,062,642,196,785,240,419,653,319,949,277,619,
626,718,096,924,551,170,453,989,810,443,188,293,258,655,672,169,425,007,430,
817,937,241,768,556,273,635,668,054,505,709,557,089,197,551,774,525,736,590,
872,339,290,321,326,602,056,366,194,884,819,407,776,413,855,865,103,681,381,
283,132,238,957,086,637,276,535,929,805,223,377,098,893,439,139,615,518,786,
844,592,729,919,495,565,848,362,132,126,064,612,874,279,455,703,061,456,907,
937,957,515,837,045,117,043,738,599,581,681,527,377,896,721,501,461,585,116,
211,471,065,343,085,255,166,550,094,678,153,439,715,055,131,943,890,475,616,
634,138,203,572,149,111,417,086,980,836,513,313,410,464,782,298,215,550,592,
174,189,868,653,259,768,234,856,611,927,720,830,322,556,135,790,187,059,301,
851,666,782,655,477,518,661,908,539,254,398,179,480,106,939,612,662,861,175,
616,875,941,874,834,735,931,205,970,925,367,351,811,705,289,935,679,806,967,
858,938,576,392,489,211,489,972,088,591,864,711,705,122,187,474,778,487,067,
183,625,806,672,560,965,624,840,647,298,628,861,272,760,827,271,097,488,052,
757,396,502,192,605,859,195,896,681,222,271,211,027,625,965,181,170,520,911,
668,960,258,209,238,731,006,091,604,588,963,590,744,541,818,256,287,454,891,
033,378,112,742,731,921,409,961,227,914,814,319,493,869,140,291,214,370,889,
218,938,406,117,807,966,468,468,289,303,999,869,938,548,722,983,580,341,306,
329,262,159,808,711,390,944,267,787,334,994,593,713,516,610,074,920,058,949,
530,357,975,493,836,598,998,934,955,460,433,033,040,457,537,161,350,849,357,
517,155,157,084,939,007,096,450,342,500,134,532,331,034,127,997,024,221,378,
426,707,495,512,084,687,815,597,339,455,733,108,669,037,679,179,375,132,079,
786,562,287,793,777,470,205,009,605,949,017,027,168,060,115,429,187,686,970,
924,990,892,815,566,973,441,633,405,168,056,266,832,225,057,225,053,642,823,
203,680,711,771,735,808,481,556,337,073,919,262,498,809,999,976,850,738,017,
317,341,199,937,855,250,966,940,456,286,934,707,495,634,353,972,927,973,448,
614,770,092,653,466,894,106,917,162,964,441,690,967,419,888,814,857,884,535,
997,513,785,586,548,633,219,145,210,740,517,147,788,909,125,859,944,196,398,
293,476,136,898,460,056,761,627,607,932,826,314,370,471,394,362,205,962,854,
954,122,087,920,584,909,993,043,633,397,796,671,145,181,612,244,234,803,068,
282,941,852,677,484,519,452,184,595,383,221,640,609,057,354,963,125,282,220,
943,321,257,660,596,944,911,561,364,271,629,962,368,743,413,536,511,566,103,
458,060,413,735,538,937,322,537,593,564,643,076,393,023,552,699,360,763,046,
016,470,338,196,873,054,253,681,096,791,715,444,215,786,246,142,898,062,563,
294,409,176,280,070,071,480,750,431,553,763,415,416,648,664,342,281,079,318,
836,398,362,817,476,373,855,106,160,893,845,176,343,099,659,321,151,565,728,
776,513,453,099,877,263,852,201,078,357,949,817,650,454,888,752,302,650,442,
962,017,706,637,030,313,337,134,093,264,649,029,192,435,631,853,190,506,854,
406,632,793,632,335,404,801,760,727,059,555,227,054,741,706,232,291,186,058,
815,791,006,370,926,962,322,147,749,572,492,063,887,900,888,294,440,307,844,
778,891,144,371,020,092,203,184,221,254,056,783,492,494,870,583,498,353,935,
612,973,952,127,178,547,145,946,435,172,397,678,353,396,509,108,655,601,941,
595,928,419,698,118,687,968,421,200,568,439,394,151,637,363,289,228,124,704,
374,709,203,796,063,120,421,429,044,134,896,117,466,164,656,110,114,401,198,
733,645,729,922,703,822,955,631,961,571,662,167,738,627,626,352,841,684,437,
727,656,664,660,177,654,151,882,917,748,121,168,598,016,775,760,091,869,413,
087,527,801,011,319,439,405,903,010,206,031,625,888,147,450,419,458,020,723,
006,119,965,453,570,695,045,182,642,383,819,955,912,594,135,254,292,045,156,
136,561,091,880,661,888,670,550,005,723,899,312,521,536,250,136,283,501,145,
139,233,693,587,761,068,880,967,167,468,528,159,634,349,584,096,791,532,578,
327,672,196,752,637,609,584,109,533,202,209,118,730,936,902,206,374,801,708,
151,777,753,725,658,005,682,591,109,399,477,399,317,896,881,305,142,798,738,
932,784,061,853,430,151,262,813,358,202,325,003,444,837,638,741,607,465,070,
170,381,637,856,460,218,578,158,854,704,934,591,334,974,239,961,931,694,314,
212,307,184,870,816,744,078,316,688,087,261,301,071,717,795,364,839,898,728,
168,655,643,105,088,199,182,244,497,172,180,820,310,861,773,352,103,045,386,
972,669,831,803,529,544,149,478,809,588,755,060,227,467,987,359,709,338,411,
620,974,841,386,375,451,917,099,143,454,355,207,610,155,194,618,050,445,374,
656,993,683,416,706,880,382,467,691,206,150,518,047,935,232,807,970,669,759,
001,514,422,736,612,749,162,343,736,353,029,517,807,902,723,117,790,945,512,
667,489,000,525,448,673,700,394,281,207,400,772,547,401,088,940,580,893,976,
854,524,409,989,741,380,671,270,790,004,315,415,766,146,924,545,149,379,424,
927,298,007,679,748,171,134,276,122,709,612,658,863,507,126,765,012,679,366,
741,608,311,627,381,837,419,428,461,412,345,236,603,492,273,642,534,069,235,
928,053,058,517,236,424,169,503,066,162,603,117,222,956,991,085,156,279,562,
503,256,488,171,491,890,312,375,592,622,689,561,050,597,831,283,973,712,784,
668,391,027,870,034,185,886,346,724,593,834,474,298,263,427,814,704,583,190,
246,269,540,145,915,306,406,477,480,091,011,675,332,751,977,056,894,359,428,
352,145,808,406,045,102,531,053,741,933,987,887,547,028,311,051,441,518,431,
375,604,985,816,401,728,829,792,037,542,852,824,616,340,796,074,134,010,194,
917,230,544,346,380,806,350,169,972,684,422,189,046,151,021,851,487,897,382,
433,542,774,242,904,090,480,884,559,671,290,996,865,017,198,068,289,636,734,
362,291,595,633,440,288,305,843,229,836,028,868,095,546,221,648,222,928,146,
000,522,647,709,021,984,598,876,060,121,108,649,572,410,761,769,034,037,584,
052,785,998,324,177,386,300,694,082,577,698,766,689,039,908,612,589,221,035,
358,294,330,982,084,511,899,818,473,610,664,462,189,195,306,091,012,091,940,
545,224,759,047,075,162,296,582,202,052,039,278,566,381,713,611,086,277,500,
422,319,340,437,784,598,244,856,468,191,443,117,607,291,614,398,514,120,010,
306,974,465,245,658,581,737,090,576,737,136,516,767,324,725,796,898,497,369,
266,388,150,991,485,256,698,291,009,570,230,444,207,161,126,424,248,474,479,
725,261,075,455,824,364,838,350,523,511,230,661,398,180,167,474,468,304,713,
481,080,361,661,257,019,358,890,152,676,917,932,602,494,982,410,009,254,462,
728,939,198,275,840,233,052,127,619,459,309,916,110,495,247,977,905,777,616,
027,573,354,085,518,619,258,363,604,534,455,446,991,599,401,737,926,129,086,
983,493,168,746,708,016,532,836,991,047,538,663,393,498,622,838,203,564,262,
125,933,524,446,807,042,484,772,220,907,547,594,097,761,392,093,495,301,097,
735,506,218,953,202,506,202,614,888,105,154,372,506,620,208,830,303,059,556,
965,407,525,494,756,663,248,640,685,829,185,968,415,377,270,408,308,215,443,
319,203,570,926,453,331,864,900,234,038,927,875,065,334,942,864,073,032,209,
162,019,462,644,011,986,072,250,965,296,628,478,015,058,499,431,871,404,665,
256,177,518,463,368,379,068,974,552,740,583,078,202,499,738,400,975,292,088,
996,133,136,136,738,514,762,211,277,099,751,504,276,405,917,114,226,757,081,
498,078,275,240,821,391,164,313,678,762,158,752,022,759,858,049,455,690,533,
189,370,983,851,311,992,872,389,774,740,392,124,561,430,230,741,080,683,155,
553,360,404,562,254,139,740,347,294,124,989,452,015,020,182,841,450,986,744,
183,018,964,876,131,864,371,056,489,913,424,105,540,227,755,582,818,817,083,
788,718,160,126,703,328,258,150,975,381,607,230,037,730,367,964,622,477,710,
989,755,161,134,614,130,713,380,862,869,542,466,160,256,538,090,026,106,712,
166,226,313,325,555,566,126,730,554,973,912,245,343,176,228,863,717,433,314,
499,688,371,102,249,648,631,521,768,773,393,252,843,984,714,971,573,189,938,
092,408,824,868,521,681,259,144,004,316,268,730,495,066,611,744,689,331,368,
693,814,005,149,102,208,343,924,884,848,376,686,454,172,598,398,522,888,768,
092,466,107,557,593,629,341,913,936,670,892,793,075,560,142,190,029,519,550,
963,902,154,859,172,761,612,277,134,359,931,323,619,191,983,189,258,037,923,
520,661,678,658,151,566,120,890,098,757,114,225,515,067,816,604,800,640,246,
947,677,042,813,806,140,483,419,907,688,679,189,095,360,933,650,998,888,067,
941,361,270,444,065,257,718,835,941,658,099,925,445,089,716,461,088,265,338,
775,621,213,321,223,697,829,838,606,090,540,050,443,223,089,917,605,440,761,
126,133,415,255,328,353,985,123,778,837,862,113,948,386,103,881,004,115,190,
662,888,736,803,249,874,034,966,510,489,353,294,325,709,231,735,978,362,346,
521,227,649,853,559,446,095,369,003,710,228,809,026,716,187,910,307,979,013,
728,866,474,673,710,712,656,731,611,496,546,427,822,024,335,132,782,032,130,
212,418,608,536,250,094,448,263,944,702,995,454,146,981,888,136,790,543,548,
095,331,894,026,457,856,048,601,389,426,096,718,109,577,142,629,814,416,322,
126,622,008,305,205,175,911,358,561,200,926,516,636,468,663,500,190,720,751,
379,120,690,982,639,332,626,624,264,059,637,538,747,420,019,797,652,807,041,
515,198,550,235,657,130,024,866,564,609,301,503,592,218,813,139,393,942,279,
675,834,054,678,335,532,946,531,582,559,828,569,718,350,095,457,870,853,491,
119,169,652,219,644,631,827,289,382,843,943,795,261,721,106,728,732,663,739,
718,038,691,794,445,474,803,155,904,817,565,258,333,377,494,231,456,303,390,
741,369,197,300,365,779,397,453,652,099,141,630,345,051,962,169,361,455,429,
139,122,120,785,179,405,430,687,020,899,891,162,317,304,517,348,291,367,194,
765,476,286,864,382,478,893,092,105,274,389,877,281,170,058,120,520,016,409,
999,696,746,487,679,647,950,988,322,612,790,991,357,115,565,157,449,459,274,
205,263,742,094,138,000,510,300,200,447,064,969,637,335,446,700,949,046,197,
986,947,313,424,032,835,947,224,282,615,254,293,667,704,721,699,616,246,918,
983,992,752,856,808,424,840,468,591,558,405,950,068,341,467,010,235,545,584,
373,750,608,656,527,990,097,154,630,372,115,278,937,282,805,296,319,998,635,
604,742,083,712,335,256,450,859,306,252,540,362,632,643,672,223,206,758,838,
619,196,507,760,823,194,548,605,506,911,372,951,656,354,431,545,108,768,016,
867,513,882,671,864,498,454,192,070,452,741,328,273,963,993,934,794,866,704,
187,877,217,877,980,461,476,459,370,787,125,784,324,712,177,948,984,535,534,
434,656,118,812,074,128,706,630,080,174,581,535,084,643,392,146,656,537,504,
823,150,327,487,239,780,016,193,200,940,270,721,243,357,606,057,000,117,906,
640,956,363,308,153,362,083,866,418,105,004,097,971,425,059,481,772,324,784,
705,334,546,781,262,343,648,438,794,908,203,214,691,203,413,379,211,162,814,
099,907,491,073,144,993,049,556,996,560,760,396,145,612,542,550,331,159,804,
965,440,551,252,722,417,187,207,588,520,506,819,437,824,840,562,680,364,448,
662,245,528,059,278,967,180,535,423,549,167,140,304,477,623,771,451,644,355,
676,007,088,902,458,704,404,937,137,678,613,716,098,897,093,536,136,969,767,
320,160,150,773,590,095,487,408,305,493,440,382,269,424,605,053,748,239,405,
294,820,374,327,322,863,601,711,607,668,240,526,925,120,960,297,724,434,757,
397,514,205,266,563,921,244,998,798,929,863,175,120,634,552,515,246,946,851,
216,274,873,341,467,077,981,725,940,490,803,457,078,922,657,545,274,483,114,
998,815,030,600,526,077,041,066,138,046,702,320,830,170,488,802,267,777,975,
078,943,146,964,267,492,873,054,253,511,309,008,946,808,474,371,287,532,191,
692,319,713,417,890,007,695,642,237,686,748,846,741,106,647,125,498,590,291,
117,151,118,038,969,513,475,904,919,495,829,046,822,751,460,870,564,510,708,
911,584,882,509,047,657,673,913,828,056,706,533,102,273,980,515,472,557,515,
527,855,374,641,122,100,406,587,763,715,268,551,999,920,036,059,950,424,292,
696,092,947,201,045,312,271,912,626,353,775,702,226,509,911,490,366,661,732,
751,059,967,477,132,884,071,669,582,696,349,464,369,019,469,412,834,124,440,
909,598,015,773,888,687,035,705,432,532,808,143,118,294,599,762,764,347,748,
972,193,489,229,440,513,388,838,825,342,731,120,726,155,627,697,462,586,891,
021,526,998,902,728,948,008,523,460,497,076,619,758,512,718,642,697,872,583,
169,409,102,077,710,579,460,789,432,101,433,250,140,272,779,069,110,588,997,
235,981,056,724,649,109,587,624,073,563,093,053,152,274,207,226,340,308,392,
101,428,559,588,272,674,707,668,005,875,762,725,530,524,451,823,259,145,894,
673,539,331,905,969,188,662,703,107,781,075,596,030,383,531,688,642,201,514,
987,125,071,765,988,807,465,114,818,196,317,994,480,736,017,039,339,949,626,
405,973,030,392,664,808,967,112,206,387,276,438,756,857,920,648,306,687,691,
349,115,511,210,511,303,442,646,976,490,994,457,834,278,893,758,332,794,560,
320,451,234,631,100,895,276,328,251,804,184,133,215,093,620,908,643,312,095,
874,828,218,839,868,220,522,077,006,314,670,618,729,854,964,324,599,050,724,
430,455,551,373,502,742,913,708,725,394,408,724,574,762,858,343,046,024,554,
612,795,100,705,802,046,955,351,717,666,891,486,435,344,589,583,529,617,134,
968,103,929,215,027,103,374,723,511,495,536,570,248,357,691,699,732,121,889,
411,057,387,313,763,834,380,037,534,107,156,656,764,634,251,339,949,430,909,
815,104,504,322,223,085,471,033,127,897,074,557,401,273,473,706,584,137,913,
367,169,473,571,383,636,204,994,087,988,663,039,003,358,846,362,851,853,528,
862,995,269,797,214,413,782,312,542,789,446,997,905,586,611,873,156,004,055,
531,611,509,796,611,683,801,786,396,037,012,416,812,132,535,686,083,639,028,
201,998,117,498,547,924,112,259,697,302,267,995,173,124,731,887,374,363,732,
127,530,435,710,090,432,694,454,030,206,377,838,114,668,408,286,405,296,398,
866,104,784,182,304,479,846,788,199,087,988,367,903,462,809,245,778,849,041,
979,045,558,967,389,819,881,531,934,767,122,489,832,361,160,026,403,195,429,
760,879,622,173,421,726,541,768,406,269,447,969,296,948,740,385,622,894,244,
666,695,118,715,304,855,319,794,505,259,812,342,411,168,644,877,139,067,316,
847,562,536,389,057,508,132,897,903,923,853,379,705,249,969,330,497,533,485,
221,168,560,249,918,275,015,492,528,578,305,644,402,768,978,888,559,712,712,
215,277,651,233,497,929,575,439,770,523,320,271,160,663,349,098,485,738,907,
267,299,551,756,717,421,601,705,468,504,590,317,269,328,343,387,905,699,048,
592,633,480,006,207,865,892,785,096,369,989,525,580,813,171,403,214,642,619,
327,637,277,543,625,776,482,705,100,185,092,773,890,420,007,815,568,850,036,
019,847,743,535,355,919,126,735,727,714,616,716,362,792,433,339,363,280,752,
703,158,047,000,879,439,680,696,465,615,872,135,988,672,063,771,486,228,342,
930,958,992,857,041,019,331,513,472,880,173,016,445,988,624,777,539,064,613,
210,228,828,563,002,666,582,655,205,457,249,916,300,909,424,552,682,442,858,
345,827,269,114,431,413,535,677,921,240,393,707,004,924,556,719,559,893,892,
301,617,838,549,203,331,427,322,602,670,358,793,892,345,235,107,349,641,530,
873,985,243,699,246,489,000,182,718,434,074,138,494,224,111,436,383,689,502,
971,727,687,701,055,165,539,618,032,056,037,776,081,268,385,376,305,030,695,
220,162,972,465,855,630,756,947,417,694,263,341,096,669,766,954,150,281,530,
918,766,309,230,645,817,315,610,055,602,535,163,695,482,713,049,760,029,993,
322,780,619,528,247,158,510,752,369,124,276,985,489,941,546,616,552,827,336,
075,899,167,086,131,632,828,305,831,783,955,918,645,077,551,823,103,247,160,
171,837,169,167,323,498,222,017,734,495,234,572,762,261,178,617,602,452,482,
281,394,177,235,146,588,734,204,036,905,733,547,471,477,272,606,203,189,121,
073,597,007,714,088,802,857,106,625,976,005,107,054,022,864,667,179,497,261,
151,316,047,252,873,033,123,310,485,070,333,769,307,508,248,284,575,378,113,
887,455,784,135,531,535,764,987,700,557,170,087,458,624,689,519,372,156,830,
990,217,981,577,664,710,412,911,234,550,612,950,034,175,617,657,347,998,531,
260,450,983,481,095,988,517,570,498,543,211,619,173,104,020,215,171,274,022,
709,574,450,344,304,684,727,987,868,835,141,531,134,121,658,888,557,339,558,
290,250,424,926,910,377,929,866,149,148,276,928,875,554,875,206,144,104,789,
961,523,611,933,908,899,482,759,365,741,735,935,346,395,211,316,905,636,754,
042,630,283,638,013,170,318,505,371,704,679,218,676,556,973,970,659,934,603,
629,504,482,597,029,742,241,298,134,139,824,902,999,069,862,264,713,523,861,
419,735,593,810,753,918,547,314,095,104,332,048,217,252,115,234,227,159,935,
418,419,068,542,529,274,602,101,249,514,951,148,831,509,534,733,222,643,420,
844,274,862,516,571,268,667,831,171,473,273,335,652,141,584,515,333,192,494,
498,639,693,747,034,089,470,159,450,803,648,443,930,271,748,977,194,261,805,
911,894,314,799,289,305,044,990,015,754,544,650,646,416,548,199,089,659,777,
181,328,400,484,065,779,327,409,283,767,407,121,256,634,456,115,834,805,141,
084,473,448,996,578,292,925,200,770,899,579,249,706,766,074,482,335,299,273,
259,321,334,599,501,855,210,698,835,403,470,280,625,397,788,574,288,610,047,
242,560,877,498,936,686,356,094,977,443,039,481,774,162,030,635,786,202,003,
362,704,591,101,986,457,168,932,811,619,370,559,866,481,227,660,508,269,548,
969,373,305,410,451,955,207,660,853,014,279,316,279,004,448,370,564,942,898,
466,328,427,728,729,905,997,770,128,102,066,763,834,592,490,138,755,934,147,
820,837,520,337,518,290,244,420,264,889,045,527,826,073,518,693,504,091,349,
837,762,066,465,034,782,536,752,538,446,026,172,140,245,572,040,062,100,899,
593,921,810,195,306,057,711,260,348,137,912,137,728,358,328,753,111,900,027,
068,214,427,827,448,961,236,917,246,386,441,000,004,875,571,809,626,210,401,
298,589,895,864,691,433,802,825,332,825,541,444,873,115,689,524,747,329,248,
455,562,310,995,235,193,820,371,756,856,455,469,525,296,542,920,504,955,631,
266,698,647,306,593,238,445,382,156,345,900,000,273,842,856,336,996,070,802,
849,451,622,627,129,103,363,034,489,113,195,016,433,829,928,270,958,997,296,
163,981,221,737,735,715,710,866,506,414,184,480,841,739,097,910,010,964,819,
150,339,059,395,942,232,322,529,485,221,065,463,209,216,860,774,971,705,829,
377,750,348,619,601,269,816,678,870,257,821,812,158,694,362,496,741,909,089,
443,412,891,352,819,798,098,798,471,652,847,428,483,145,611,608,538,551,642,
217,680,226,191,777,788,387,424,856,621,918,839,896,190,659,057,924,755,880,
859,869,255,649,044,216,644,230,178,236,165,809,704,028,337,618,902,687,814,
216,327,464,549,695,239,025,095,429,683,640,974,338,813,978,264,943,353,217,
754,632,270,276,783,251,683,190,794,391,603,127,164,347,834,002,340,991,244,
385,706,358,265,181,045,634,354,878,885,680,478,532,227,382,061,462,276,040,
960,200,220,772,747,708,292,976,527,423,497,936,920,648,110,477,232,698,815,
505,196,260,271,263,942,238,627,801,633,747,141,322,293,067,244,008,740,266,
447,670,673,090,641,152,422,232,021,865,005,335,030,412,877,184,860,424,705,
829,262,977,474,365,251,068,339,386,494,122,082,328,171,952,324,509,858,451,
902,737,822,840,641,179,561,270,428,765,356,930,720,311,608,768,981,695,762,
457,653,089,201,932,566,156,988,974,715,550,732,069,625,508,038,209,129,356,
071,226,029,407,425,842,063,559,626,572,177,270,353,789,600,570,371,451,450,
255,251,411,821,987,940,371,545,420,603,618,459,890,795,730,546,978,096,229,
212,232,075,353,258,978,320,859,659,410,051,557,589,273,727,277,230,149,748,
097,499,593,650,570,786,807,513,735,398,551,330,650,230,367,500,152,098,219,
654,796,288,885,786,932,548,098,536,180,172,119,536,117,379,034,276,252,071,
154,863,669,103,332,588,457,328,965,979,403,268,626,747,495,231,992,549,084,
752,038,301,312,671,536,925,625,012,759,463,825,508,720,348,297,413,832,527,
993,967,936,531,481,329,410,707,748,852,923,415,706,266,254,099,284,976,652,
181,983,991,416,484,998,475,495,956,367,418,422,504,631,296,631,048,494,458,
819,581,612,794,710,068,994,104,311,851,321,294,223,755,885,085,708,304,260,
405,164,046,590,540,352,504,857,210,262,082,892,973,094,122,289,066,667,706,
080,088,371,015,461,065,963,715,733,551,583,627,451,292,571,302,997,378,467,
992,088,815,308,664,800,305,341,802,645,836,226,150,760,338,219,146,023,083,
802,548,166,417,208,706,287,492,664,174,359,296,933,571,917,392,427,873,900,
406,116,133,083,832,651,078,003,002,831,107,735,054,570,968,699,626,089,773,
961,478,902,154,073,979,919,096,373,668,573,515,154,937,602,768,719,577,875,
942,747,170,376,600,687,995,800,053,486,844,203,036,824,405,094,216,249,553,
158,184,012,246,130,401,999,212,703,525,698,503,156,822,459,269,776,297,537,
915,388,591,462,550,636,211,095,976,613,766,946,861,524,315,931,597,060,446,
683,189,637,004,868,920,907,244,396,551,478,492,361,539,297,563,124,814,547,
299,769,324,464,156,715,419,259,660,819,807,030,471,002,287,375,841,056,687,
126,107,601,332,836,538,655,280,271,225,092,592,660,476,916,073,715,499,344,
074,572,877,037,112,521,419,746,739,332,080,281,616,129,922,014,128,253,225,
034,340,780,878,401,994,693,757,638,255,482,156,214,016,774,465,793,910,422,
063,861,883,029,003,438,854,606,325,611,694,456,034,329,878,276,477,520,115,
864,593,082,227,853,380,926,359,866,576,499,129,769,501,365,598,123,378,950,
288,489,762,773,204,650,343,656,057,893,051,145,807,851,772,892,721,373,569,
088,925,107,603,976,210,247,021,062,971,250,096,785,389,233,741,055,739,564,
640,648,592,663,700,383,028,218,185,776,606,481,220,099,957,266,146,786,367,
605,548,138,803,285,700,313,122,571,057,120,919,294,856,166,676,134,742,839,
719,936,037,554,323,448,104,091,033,804,923,704,823,597,218,604,006,820,224,
596,815,127,810,693,552,658,636,536,982,084,565,183,545,222,155,084,795,950,
025,658,675,650,565,872,523,825,796,129,615,165,178,571,620,374,411,763,543,
748,317,398,554,716,786,600,087,843,457,139,578,368,236,412,539,994,271,181,
900,928,179,152,962,858,565,889,313,263,798,722,357,974,667,198,551,555,845,
387,266,185,136,928,305,193,409,191,132,661,863,908,992,610,432,611,760,988,
496,700,846,705,162,065,821,396,320,704,612,777,222,279,693,991,934,368,882,
196,210,699,138,991,318,631,571,969,945,879,246,861,165,374,852,730,115,619,
509,558,087,744,740,764,161,361,241,131,957,271,678,108,385,360,922,049,402,
400,790,780,428,994,640,086,794,734,372,486,289,267,912,210,353,369,156,060,
762,230,361,464,838,976,970,507,723,579,797,237,382,802,516,814,614,515,388,
814,907,128,148,984,063,830,094,652,743,693,210,354,785,698,774,855,949,031,
026,235,479,444,197,455,966,190,709,025,576,236,496,177,338,905,533,906,819,
648,125,513,349,745,429,983,858,900,763,738,313,597,107,166,518,777,034,052,
107,408,136,858,945,334,974,814,437,724,626,376,446,418,228,223,866,763,493,
199,756,247,728,178,413,422,666,654,907,744,222,989,339,168,074,091,800,668,
715,439,826,455,919,600,532,314,230,539,713,754,023,053,796,739,371,638,165,
095,592,579,486,220,408,309,921,417,574,147,889,028,480,899,057,820,856,700,
897,120,175,588,627,639,571,969,790,260,494,991,779,273,163,862,377,521,301,
423,068,147,543,671,190,648,872,774,621,546,367,232,672,258,915,204,940,679,
484,564,676,864,196,647,880,007,375,126,125,076,774,624,654,650,756,485,927,
910,416,082,061,609,787,931,444,017,553,269,946,221,477,251,299,086,262,515,
170,754,899,861,452,902,583,436,443,591,374,637,223,088,501,866,713,705,618,
284,269,862,409,512,370,692,013,623,186,830,102,860,201,576,557,761,238,691,
721,959,472,768,413,570,020,103,253,240,434,694,279,174,433,358,414,942,312,
280,359,165,502,737,051,581,944,027,530,098,199,462,642,814,649,620,557,379,
785,066,895,721,471,298,305,974,094,902,949,957,900,430,739,967,488,097,346,
003,373,662,333,102,340,762,790,679,616,447,124,024,784,248,286,104,712,974,
531,436,200,848,051,954,981,546,372,764,431,931,385,517,105,200,859,992,119,
889,445,485,217,880,510,213,859,194,451,160,517,244,049,822,758,797,237,277,
789,464,331,692,318,693,493,487,166,320,017,779,802,175,583,702,089,850,454,
692,567,232,263,056,863,274,326,975,501,675,797,222,330,098,603,703,663,477,
118,097,388,149,221,966,633,926,782,780,765,371,323,723,811,663,822,430,504,
879,719,701,025,693,213,724,080,073,050,560,250,809,920,799,553,391,435,629,
211,037,595,106,736,890,298,928,255,445,218,079,224,650,746,739,613,639,922,
649,765,486,216,455,603,680,596,135,352,195,729,710,329,471,191,792,824,213,
665,767,155,985,412,508,326,624,131,023,043,366,470,014,481,362,888,842,499,
564,745,771,971,848,037,027,124,282,462,402,468,333,664,334,313,747,594,739,
159,565,322,116,654,761,351,148,783,275,500,135,173,542,321,840,815,241,083,
814,029,160,392,379,280,709,501,731,363,500,589,682,906,151,792,376,918,601,
805,973,571,362,168,180,033,050,995,657,055,329,969,344,751,965,916,108,858,
500,872,381,894,257,442,355,624,470,575,651,228,763,740,100,213,436,150,951,
910,148,075,222,433,955,309,478,636,082,501,191,618,366,700,101,448,774,860,
748,636,895,802,315,910,369,488,158,932,605,449,524,901,208,557,996,024,953,
703,663,309,926,400,650,032,989,732,039,159,502,453,101,754,000,005,622,891,
000,248,367,991,400,626,517,598,828,639,550,171,504,981,897,921,509,176,291,
091,077,818,153,070,768,218,240,958,122,648,291,700,996,928,371,750,201,100,
125,176,051,862,242,146,096,461,186,856,951,202,620,400,260,553,468,489,579,
794,864,106,387,426,587,363,591,462,707,132,364,933,489,895,387,702,501,382,
068,603,064,585,928,738,090,848,580,913,355,140,354,485,519,488,910,189,516,
727,506,582,091,632,930,349,358,583,245,027,300,562,464,025,173,297,422,132,
624,808,169,697,369,682,218,194,105,498,628,850,041,457,684,811,206,636,213,
464,542,100,680,570,082,794,224,670,043,062,662,878,956,694,114,686,540,571,
841,186,506,746,719,983,751,627,430,141,676,342,984,096,772,816,654,889,474,
347,620,145,856,063,228,866,603,313,806,457,147,346,441,176,917,224,300,194,
653,436,123,272,547,478,266,029,987,299,615,454,911,621,763,919,326,727,625,
346,805,638,900,487,019,043,446,101,130,297,330,654,403,704,672,295,226,988,
077,576,979,065,349,624,914,606,015,940,998,964,467,858,669,366,612,220,949,
523,802,271,930,543,864,040,148,827,651,060,386,083,447,077,566,489,734,010,
286,878,168,529,965,280,921,436,564,965,640,745,367,478,472,761,968,967,605,
968,140,138,509,679,917,013,112,332,317,002,265,774,211,035,474,990,649,363,
606,367,872,096,609,332,875,540,571,251,712,660,233,829,543,348,149,871,072,
372,969,877,610,381,430,087,622,744,857,120,064,675,053,189,942,586,115,546,
440,333,628,350,943,929,559,708,253,971,475,654,813,492,059,411,297,712,448,
483,799,752,062,710,949,028,068,414,931,667,076,163,777,134,127,962,198,863,
891,975,651,384,335,811,630,682,040,324,589,613,624,479,286,283,411,925,297,
595,867,374,996,925,109,718,997,754,864,149,060,569,934,740,749,314,115,059,
190,658,193,824,923,941,776,826,811,005,317,685,857,096,828,473,251,824,072,
473,723,939,154,224,614,196,893,740,217,029,677,095,628,073,871,637,374,805,
520,916,773,473,984,708,412,435,532,160,034,855,663,695,002,593,696,159,557,
236,606,322,010,104,382,434,362,034,608,465,811,853,565,184,362,369,267,535,
079,721,484,265,764,021,987,623,354,247,041,927,283,188,719,512,447,739,450,
384,120,068,775,243,110,756,803,650,898,157,166,352,397,137,437,547,121,888,
509,623,839,934,153,823,168,106,926,676,142,301,556,812,765,557,997,219,394,
081,684,669,070,347,287,689,924,122,772,711,403,384,894,496,094,911,764,779,
230,483,692,986,193,622,071,260,066,192,758,583,686,510,949,331,043,345,990,
695,949,687,710,000,665,766,235,822,451,607,487,950,282,759,316,973,384,528,
664,667,364,487,409,549,636,986,897,154,419,141,612,105,265,722,739,696,358,
676,492,480,550,635,772,657,892,845,730,795,936,269,195,082,984,998,157,246,
789,722,894,956,685,003,501,638,782,629,890,040,781,105,735,569,831,831,618,
780,886,244,658,664,714,872,714,493,207,170,280,060,081,395,589,022,937,846,
494,258,494,881,642,395,095,940,311,844,145,514,726,104,473,010,979,007,516,
032,488,774,858,666,710,691,511,204,360,281,435,188,933,390,490,218,434,320,
288,118,857,198,548,535,147,470,956,049,697,597,398,356,497,432,187,779,991,
270,963,171,751,898,163,618,498,905,095,881,871,140,429,647,841,660,237,245,
604,322,814,026,266,145,050,729,421,516,904,859,902,350,191,285,781,862,230,
269,694,514,646,077,175,731,450,841,923,568,933,715,179,774,114,667,256,128,
890,404,509,050,496,964,138,730,225,913,977,660,887,189,307,173,532,267,222,
131,067,719,604,347,090,317,323,136,718,184,378,597,015,201,963,173,217,647,
579,807,437,326,939,187,439,674,439,452,624,442,263,061,312,977,205,207,876,
267,759,524,256,634,434,824,194,865,895,114,581,585,632,420,949,466,232,772,
402,568,974,138,087,206,899,202,007,166,707,538,419,949,664,765,705,060,021,
990,082,349,192,171,603,356,624,372,479,509,185,826,038,526,362,611,225,080,
975,809,995,973,787,482,904,219,082,929,996,121,906,949,412,959,307,796,924,
328,745,747,390,445,878,123,470,520,623,559,306,608,684,953,295,262,223,036,
519,226,425,917,525,034,294,798,499,243,905,767,943,025,422,419,836,074,027,
844,652,397,737,594,274,799,601,644,986,016,658,366,212,167,617,789,277,518,
907,681,400,244,098,017,172,270,825,157,933,552,701,905,156,444,798,487,079,
286,221,357,196,170,633,474,071,390,323,314,558,800,957,815,453,824,249,678,
862,144,281,738,906,928,271,216,815,678,713,149,750,504,698,970,216,112,929,
324,541,371,457,604,910,200,471,919,208,437,470,583,509,207,726,276,572,278,
905,487,921,263,070,662,131,830,567,290,994,020,471,537,394,532,671,775,802,
216,396,766,179,049,038,924,619,136,986,981,141,284,461,715,041,757,484,771,
734,642,007,157,831,655,599,912,702,142,006,589,297,825,141,555,798,467,088,
633,726,778,826,305,408,765,638,060,559,699,593,280,956,016,578,789,242,109,
809,187,263,591,395,435,553,830,535,417,808,250,886,457,343,174,954,381,875,
876,054,746,917,662,742,309,550,135,341,717,227,688,504,922,348,863,903,918,
517,536,219,869,658,495,240,188,673,896,599,624,117,089,963,774,695,143,297,
182,298,469,172,020,002,034,595,628,957,645,752,779,040,954,298,260,813,474,
688,569,532,170,704,073,725,935,010,312,572,490,370,472,037,718,300,565,225,
771,234,429,526,347,222,343,511,930,687,069,107,783,486,605,920,321,356,106,
554,863,469,036,608,107,725,919,616,127,363,339,361,027,833,972,285,647,695,
799,099,980,951,170,013,083,027,548,547,287,477,431,831,376,740,595,604,985,
829,462,311,266,099,297,372,015,186,669,643,215,317,736,533,939,924,030,542,
987,916,829,473,025,715,040,593,836,976,740,546,640,829,741,010,427,761,592,
294,707,647,169,653,036,918,239,078,477,058,769,582,050,720,306,834,215,258,
634,632,109,778,680,698,118,626,502,535,624,185,066,774,130,623,218,802,344,
051,107,358,692,517,542,236,557,248,427,329,149,307,188,046,318,284,446,349,
354,244,220,563,409,216,639,800,181,553,148,379,863,698,232,521,398,367,895,
214,211,714,935,073,264,346,048,829,763,297,039,470,502,362,135,618,948,105,
093,309,383,196,030,932,874,909,128,083,178,174,713,280,606,363,498,785,704,
168,324,449,236,861,972,998,138,825,947,836,664,134,247,316,645,179,453,453,
360,245,265,998,288,700,875,756,824,894,465,573,981,279,523,186,932,008,733,
910,014,422,095,516,335,998,404,723,267,568,367,716,174,451,354,636,476,635,
443,089,260,601,074,275,224,787,658,409,638,398,801,402,947,446,105,248,356,
960,318,918,597,704,935,119,006,213,832,443,511,109,648,704,684,820,485,061,
106,268,631,311,165,480,167,569,582,929,207,765,830,317,800,859,579,413,148,
085,425,751,722,828,158,712,373,823,317,633,699,858,201,598,738,359,839,572,
749,974,613,523,698,897,700,382,743,115,141,234,440,629,583,961,733,777,583,
432,415,020,598,034,356,333,976,207,279,604,468,480,341,584,055,624,527,425,
335,138,380,008,281,696,452,006,837,579,378,381,049,648,565,047,520,997,600,
074,132,801,213,813,845,598,673,732,051,030,006,123,567,415,288,108,274,778,
095,045,585,076,180,362,210,476,940,634,572,122,097,569,367,977,085,071,388,
868,141,712,235,483,634,411,869,668,155,567,422,978,786,603,905,268,940,702,
013,155,604,071,588,049,956,812,665,424,709,518,446,116,417,800,661,956,738,
361,102,125,400,144,617,814,153,253,476,924,455,480,750,851,886,918,040,559,
063,334,444,014,280,435,543,055,145,455,795,133,516,405,773,293,154,303,599,
996,022,534,910,528,495,185,021,179,261,402,268,713,835,973,769,471,588,100,
439,175,353,058,703,478,654,842,167,275,840,643,963,995,661,129,853,094,018,
280,490,551,170,397,859,901,395,587,736,551,255,417,399,017,945,592,900,053,
547,061,729,571,097,508,079,567,139,183,766,254,761,247,939,012,951,140,730,
376,633,335,194,962,773,512,491,859,200,851,619,198,717,421,057,542,382,552,
869,392,658,370,891,541,343,597,511,731,002,024,891,006,942,925,337,573,490,
633,691,776,668,848,821,277,220,379,867,430,130,456,340,709,950,604,529,586,
346,576,186,584,748,255,887,836,809,212,210,014,862,124,920,586,643,083,594,
854,932,099,086,118,251,939,775,026,765,856,289,747,400,505,982,054,041,293,
456,276,840,128,775,918,152,384,667,393,207,362,857,411,583,868,532,305,467,
487,341,537,804,730,484,209,986,315,089,157,682,953,538,042,897,264,079,777,
512,363,881,232,425,390,143,589,868,700,791,966,758,407,691,176,438,141,457,
915,964,163,281,854,228,946,024,538,611,858,913,208,370,620,331,964,902,814,
277,174,734,904,297,957,880,469,996,436,636,720,168,856,270,288,383,602,264,
625,043,917,814,996,699,480,930,537,967,898,588,286,426,599,352,841,327,752,
723,735,561,512,396,233,426,768,355,938,996,279,927,599,309,463,323,192,522,
052,082,615,405,383,310,583,633,588,185,103,938,017,256,429,840,958,975,733,
642,387,263,901,431,098,664,138,195,085,202,171,059,020,327,080,916,796,708,
081,163,436,481,536,773,495,267,219,725,949,518,858,923,782,468,253,228,570,
383,730,029,198,347,312,161,642,459,504,658,044,409,854,028,673,566,612,295,
791,784,889,576,011,853,803,521,920,958,531,386,977,172,057,485,502,708,088,
565,084,359,904,886,095,150,322,015,864,046,043,236,111,842,007,902,850,711,
649,098,576,145,768,152,406,590,976,583,948,816,736,545,833,130,889,020,745,
302,297,837,186,038,938,012,038,731,495,097,993,190,420,720,717,011,228,578,
152,888,456,894,557,536,001,382,342,839,412,837,280,654,980,917,633,573,073,
662,743,177,655,327,493,813,247,088,240,944,767,054,718,240,224,916,409,287,
331,742,528,575,598,905,603,180,498,998,235,296,234,956,823,492,094,981,186,
536,988,139,878,226,692,088,339,317,744,613,544,408,036,072,552,162,982,194,
569,059,414,634,601,098,007,054,684,150,404,342,087,622,536,833,030,409,889,
509,535,978,902,051,892,009,338,186,952,725,216,455,073,444,095,394,248,089,
865,345,604,447,602,877,764,260,567,842,568,074,590,151,420,057,908,394,174,
203,530,489,402,539,795,379,454,312,388,502,432,138,607,986,466,014,626,459,
113,617,523,684,232,005,529,176,441,560,117,457,375,790,804,569,165,342,325,
742,722,463,068,222,074,538,163,514,628,245,919,083,061,921,376,087,524,859,
408,693,110,752,794,720,398,208,260,943,174,598,069,796,794,589,350,520,563,
102,160,615,177,533,127,005,834,213,032,795,777,592,987,248,180,058,977,281,
951,590,944,011,368,449,552,051,504,732,986,715,672,563,271,341,478,178,528,
929,060,976,021,159,702,117,587,258,120,128,467,748,579,450,831,745,076,972,
045,076,953,135,060,490,394,863,303,118,100,860,811,267,996,989,102,097,835,
446,290,282,875,821,592,439,922,973,959,216,139,369,907,452,033,257,927,225,
523,572,592,962,921,935,156,738,764,561,952,005,395,523,566,038,496,398,506,
197,750,973,977,400,070,545,532,283,030,889,055,359,060,246,365,075,656,543,
161,238,198,530,869,858,877,939,850,638,654,870,860,415,647,907,539,580,392,
643,363,299,626,812,501,387,866,248,080,579,314,399,593,190,552,978,387,876,
468,208,190,379,891,438,993,012,897,672,946,551,847,867,671,243,914,055,927,
873,083,936,954,026,033,519,025,944,416,204,018,731,369,051,229,128,401,797,
798,083,397,899,376,548,539,105,703,379,690,073,501,755,540,957,299,715,321,
868,276,701,629,627,910,684,321,762,061,887,787,561,699,566,253,531,290,260,
331,385,739,185,908,364,736,987,290,974,251,574,048,490,123,521,845,897,901,
974,139,615,215,605,051,919,276,832,665,368,551,880,368,486,283,239,233,098,
433,103,970,379,960,536,862,581,293,150,961,309,561,218,187,836,235,353,913,
819,596,375,733,511,848,463,780,048,742,568,840,310,433,455,364,148,344,432,
568,876,281,011,014,021,030,477,539,824,993,936,582,898,977,954,606,648,552,
614,572,576,704,469,475,692,944,303,285,822,141,621,571,948,880,845,781,456,
767,446,570,730,439,897,138,143,800,783,047,928,807,911,851,867,386,578,433,
240,448,503,624,271,985,410,397,115,416,861,542,679,571,167,825,168,426,433,
209,358,932,825,642,115,906,645,589,627,664,829,037,950,888,681,101,784,427,
168,238,876,730,778,437,822,143,606,356,742,002,213,864,615,042,985,829,389,
412,086,606,332,375,431,042,245,221,344,697,859,353,578,114,717,326,576,603,
078,791,093,586,139,982,490,481,401,349,849,198,170,353,376,536,696,798,282,
087,949,760,111,356,822,010,855,172,622,504,157,986,425,872,699,733,484,077,
808,565,583,047,287,860,364,905,230,149,904,536,638,743,752,516,011,535,546,
304,106,046,358,344,657,478,051,450,873,278,085,931,070,788,269,714,542,306,
921,606,811,398,430,525,727,944,302,040,540,889,700,890,552,799,232,482,596,
614,754,178,403,235,054,856,917,198,140,626,034,955,659,700,023,615,594,650,
218,742,124,810,449,797,514,404,135,204,852,276,214,209,892,421,056,463,577,
305,142,869,982,053,525,703,560,764,557,155,382,295,805,223,440,938,250,473,
492,182,082,517,745,206,659,668,806,192,739,993,478,538,317,181,026,961,695,
677,616,670,293,692,381,130,310,709,448,511,138,090,292,350,302,215,421,570,
983,485,632,230,181,471,508,811,081,392,544,705,179,703,742,250,911,246,041,
032,188,129,225,331,261,549,907,570,754,124,040,877,540,527,276,254,163,988,
781,519,658,129,362,163,966,488,302,494,273,185,634,156,628,838,297,307,032,
105,584,887,059,816,188,158,021,811,300,379,947,644,971,308,553,860,104,219,
181,314,198,062,135,163,570,696,212,841,292,417,861,300,475,016,961,512,498,
063,629,760,945,824,957,302,913,521,228,912,753,980,143,090,866,953,483,064,
970,332,370,856,994,725,629,858,665,688,748,911,203,530,233,149,434,273,879,
283,201,164,591,455,232,172,892,634,571,987,280,476,552,601,774,211,881,472,
894,375,550,253,916,398,104,862,114,305,203,838,335,593,629,579,171,500,808,
833,849,352,989,795,186,868,102,152,694,564,654,795,959,218,859,148,543,214,
259,553,996,700,800,670,599,044,061,115,467,764,981,214,213,532,831,845,831,
787,739,933,417,289,071,561,938,069,868,623,817,033,044,166,190,979,833,014,
043,284,627,635,452,684,971,365,090,921,306,182,028,348,757,332,775,198,298,
472,459,456,537,034,318,242,272,661,603,239,647,184,505,276,695,436,648,741,
603,241,911,758,085,463,538,100,639,241,662,530,115,105,031,871,209,519,899,
875,094,555,362,393,960,349,074,462,652,391,769,901,137,291,887,539,439,673,
551,455,066,209,813,902,649,512,358,868,406,949,262,790,135,266,746,212,185,
678,826,854,161,899,425,714,750,285,682,106,419,442,321,804,485,327,222,934,
920,494,562,048,922,359,599,804,267,613,487,545,125,420,129,789,496,156,573,
545,715,862,731,058,438,481,713,508,207,255,983,419,606,120,582,518,767,535,
412,260,866,149,025,751,110,730,725,170,586,845,798,914,519,255,592,959,666,
635,401,253,911,754,672,611,820,887,515,137,637,667,812,020,692,633,552,395,
776,307,459,385,319,576,780,404,327,140,626,687,335,147,917,308,699,414,899,
771,980,497,536,648,980,601,495,039,279,751,850,400,098,874,923,659,991,188,
099,368,277,308,908,263,953,895,610,950,364,455,133,439,892,854,777,282,432,
386,361,985,904,497,309,581,850,437,439,095,957,381,956,807,971,575,466,243,
096,048,672,337,093,417,984,411,474,858,210,374,082,865,925,881,707,247,323,
591,252,936,061,858,279,316,601,426,615,868,263,694,394,510,641,194,230,449,
043,215,782,607,140,512,861,417,922,488,525,499,440,556,289,057,919,903,107,
114,364,666,527,324,366,967,080,309,241,582,677,124,831,860,625,110,282,718,
871,004,822,784,287,664,693,449,892,755,028,242,606,243,373,960,934,771,583,
226,557,824,931,382,130,950,829,009,844,422,877,084,174,426,714,526,184,034,
232,894,077,358,092,933,633,481,759,754,658,993,297,813,465,110,702,609,438,
433,013,809,552,586,894,223,936,662,398,342,183,561,576,469,271,315,626,307,
194,836,809,003,140,096,630,448,301,056,817,522,870,310,435,790,612,622,812,
037,081,837,154,935,920,669,227,824,183,649,978,311,004,684,502,206,269,461,
717,209,528,372,358,404,832,287,840,821,602,974,840,885,675,750,761,249,852,
509,467,769,990,518,267,870,447,300,918,507,434,566,413,719,968,404,714,967,
476,794,142,485,432,640,479,954,290,137,946,319,754,626,793,725,754,257,542,
828,303,110,103,520,906,180,071,111,721,152,059,645,812,972,099,785,294,314,
854,084,980,925,386,342,393,087,421,907,366,839,640,361,084,310,399,895,279,
208,274,851,328,096,667,051,423,908,797,358,731,228,675,245,670,360,975,502,
438,727,060,015,880,060,960,702,834,354,161,492,327,363,287,189,815,822,779,
697,534,043,137,875,707,107,354,915,812,792,209,914,832,092,528,320,315,679,
277,346,842,833,299,971,277,802,716,385,215,939,788,126,077,261,909,775,836,
823,156,557,231,987,644,588,083,363,323,174,507,288,848,813,763,051,182,877,
778,887,113,317,841,260,518,494,289,992,357,427,733,805,577,683,412,619,444,
140,507,007,973,738,333,875,190,521,072,127,121,454,597,783,131,595,038,573,
385,312,777,089,257,022,158,543,082,258,226,086,948,466,938,602,716,545,924,
789,143,481,089,769,587,606,373,228,326,308,246,898,152,385,048,901,157,506,
319,544,466,481,260,971,377,330,070,023,803,806,679,935,836,470,708,530,738,
942,472,434,063,649,468,638,466,348,220,181,314,291,310,385,876,157,227,478,
008,309,618,147,593,184,203,788,223,155,593,494,845,753,383,528,967,031,439,
486,501,484,866,850,868,600,246,439,681,132,865,682,553,486,563,150,613,967,
741,568,471,178,096,550,770,388,531,471,949,974,851,282,708,589,918,569,056,
808,197,088,527,468,971,967,527,208,403,626,735,210,721,009,477,108,105,650,
122,693,917,142,405,401,545,074,443,441,346,332,749,691,354,191,086,455,800,
359,820,728,540,545,639,975,685,103,827,579,647,708,004,668,705,720,030,001,
443,698,681,705,379,114,040,943,660,754,161,793,977,511,865,335,120,773,671,
136,743,022,249,150,203,323,954,592,132,535,186,949,407,956,970,657,338,091,
623,147,047,499,357,501,608,600,749,262,942,126,373,249,036,056,394,401,233,
682,582,243,650,498,875,682,485,161,266,193,661,402,469,747,913,888,928,901,
119,304,367,030,800,322,043,156,280,650,961,549,722,210,028,861,633,028,530,
285,813,870,747,032,692,761,927,100,131,106,389,413,189,182,516,253,974,227,
748,609,303,283,417,107,753,607,886,058,809,635,464,220,918,604,506,291,301,
722,055,590,529,323,472,754,015,223,519,142,928,488,749,030,209,662,637,126,
062,419,305,808,969,812,218,126,823,797,695,094,696,685,591,072,842,707,853,
150,908,297,687,133,961,727,825,684,762,645,697,552,230,089,490,735,361,092,
953,724,143,521,230,052,898,161,569,776,318,165,063,936,070,420,735,919,449,
819,897,190,421,731,735,570,813,813,655,017,178,174,205,300,236,597,541,406,
179,638,603,526,536,941,399,496,558,023,589,680,632,055,325,604,760,914,999,
403,970,007,066,525,017,037,208,932,579,875,214,012,339,285,063,729,728,599,
249,334,159,407,267,285,688,784,269,860,694,766,960,166,710,180,206,041,227,
827,181,117,587,595,799,140,376,157,273,394,186,027,172,281,738,555,784,853,
621,286,622,433,142,089,585,922,902,783,131,815,545,310,132,809,946,284,293,
017,376,818,768,825,395,998,487,309,896,600,871,135,491,447,254,217,199,814,
351,026,994,554,442,416,443,677,812,284,388,493,649,799,234,814,279,612,149,
886,428,946,480,714,458,685,499,384,561,048,748,345,483,041,047,172,369,619,
913,632,651,793,570,768,097,374,869,224,766,269,775,216,851,412,033,193,223,
276,889,969,203,495,963,906,727,041,183,786,602,994,669,697,640,480,322,747,
010,923,177,278,658,963,541,115,807,648,250,561,834,761,110,589,924,061,302,
862,600,287,460,000,134,668,629,838,131,603,122,638,237,542,695,837,563,048,
212,197,014,138,013,237,163,288,350,338,561,163,212,441,350,665,415,941,795,
014,325,667,395,915,282,900,763,888,179,345,267,220,167,626,034,414,461,976,
146,666,928,287,389,293,814,073,750,250,200,685,661,966,212,268,188,765,324,
997,370,841,736,362,040,455,097,242,016,892,086,301,485,447,728,096,217,632,
872,395,621,348,245,300,056,431,689,266,159,790,708,447,306,484,113,771,707,
442,112,293,791,820,675,505,022,977,119,401,838,120,707,584,403,879,669,703,
870,393,641,771,046,481,795,827,071,220,120,099,343,440,032,928,070,211,401,
177,098,133,244,617,326,814,840,406,159,996,861,670,377,631,120,461,052,992,
933,965,381,565,919,308,209,561,127,715,168,102,557,430,972,245,557,512,259,
143,828,466,767,129,139,137,700,392,817,930,572,276,191,644,144,125,810,571,
223,227,750,225,275,316,844,392,056,688,276,439,039,789,118,987,094,202,151,
808,689,414,216,166,223,224,496,323,249,221,631,736,232,858,628,499,968,868,
368,304,588,862,808,043,593,945,070,609,175,530,653,334,363,342,638,833,696,
212,894,914,286,889,520,706,640,274,597,932,897,029,178,245,016,347,744,734,
615,693,258,462,450,538,331,279,726,326,185,226,742,112,846,680,247,559,621,
155,652,242,162,878,043,564,371,616,542,325,789,460,660,619,916,439,410,387,
641,125,217,098,665,642,463,396,416,741,447,091,074,437,576,257,189,150,801,
108,843,091,428,035,568,791,740,672,918,114,458,118,136,688,771,720,285,366,
581,610,624,553,969,151,551,761,310,894,345,968,384,111,894,789,260,484,714,
353,611,126,719,046,464,860,316,793,904,303,925,867,351,965,586,456,211,655,
293,304,080,804,614,525,629,932,645,334,939,506,150,287,010,905,410,671,055,
928,261,265,515,412,910,814,594,787,765,100,353,564,336,590,162,151,470,291,
263,953,632,636,679,339,679,199,105,302,800,677,766,173,266,409,698,235,553,
315,486,789,826,130,262,725,672,990,163,287,468,876,269,176,989,596,663,744,
381,551,311,136,851,050,055,943,939,297,157,841,948,276,891,201,235,090,747,
850,965,064,497,123,195,149,512,872,239,310,781,642,678,204,068,889,464,291,
164,064,665,800,862,584,730,455,506,451,476,850,533,500,302,063,515,059,506,
640,961,245,834,029,516,546,790,133,465,883,074,743,258,589,983,925,544,925,
035,747,331,569,759,477,866,765,737,431,206,371,421,465,734,747,302,349,979,
152,842,395,222,294,992,228,891,966,045,408,442,860,122,520,570,265,830,874,
259,466,587,268,182,754,458,236,841,658,203,119,205,426,272,207,923,814,290,
631,773,269,452,511,078,792,017,157,962,964,300,331,184,920,127,634,647,872,
320,064,588,952,028,878,940,879,757,335,674,004,418,263,151,785,425,084,806,
054,469,284,126,995,799,227,469,156,603,277,951,191,699,268,835,977,787,803,
238,410,322,041,680,674,653,693,726,782,094,440,827,408,427,416,261,577,844,
381,190,380,948,126,554,120,635,577,078,935,835,577,711,277,480,542,652,647,
283,067,394,020,805,276,134,961,824,338,641,305,520,703,679,692,912,545,533,
817,603,329,736,042,733,429,786,221,413,069,211,792,363,293,468,214,216,500,
187,802,283,746,204,824,869,777,448,050,576,854,682,873,083,230,605,068,886,
106,277,129,312,577,532,412,407,539,129,604,479,111,568,545,582,502,045,844,
762,941,086,952,212,591,456,902,174,639,501,468,664,180,819,530,180,626,935,
394,969,407,742,643,974,143,886,705,029,992,359,484,180,869,592,882,173,462,
348,359,984,906,827,361,682,557,584,693,142,217,281,231,814,989,774,586,934,
311,377,417,175,600,057,918,632,816,430,385,964,876,447,772,643,468,564,460,
891,441,656,688,585,131,643,663,929,038,368,291,747,610,602,170,295,576,287,
297,533,202,014,660,350,990,599,812,493,491,194,787,992,155,962,488,098,098,
933,146,059,202,671,365,066,934,864,092,047,033,820,648,992,172,854,354,788,
876,064,209,294,405,191,960,029,734,648,682,699,451,382,230,944,831,707,864,
828,967,086,288,464,982,801,847,804,647,397,069,258,886,231,079,436,711,549,
677,372,332,733,577,590,361,915,850,007,244,226,223,963,085,477,519,151,701,
648,161,672,893,812,814,875,171,518,448,025,410,946,077,870,002,326,910,593,
029,041,349,069,059,291,723,243,138,672,817,140,179,661,852,837,359,989,294,
211,113,671,572,760,615,319,670,457,972,857,445,609,435,679,145,710,891,056,
435,566,163,101,454,478,387,951,311,921,893,787,005,038,069,791,173,995,770,
778,099,440,103,353,308,442,363,340,947,303,840,649,491,449,613,239,392,826,
844,383,694,211,132,053,243,160,153,443,720,060,451,579,795,082,643,924,621,
065,859,111,149,642,098,627,959,243,048,300,454,869,237,158,612,282,868,123,
291,029,688,674,585,198,557,177,618,081,050,840,873,799,655,551,802,952,280,
464,687,823,985,985,789,135,881,082,017,731,114,902,320,894,691,291,863,225,
403,750,197,144,503,326,113,817,832,082,208,257,356,361,001,886,597,440,017,
003,747,301,928,902,146,551,666,527,263,353,043,076,011,251,741,497,894,134,
131,704,936,375,067,557,210,402,407,999,759,925,553,359,816,214,233,331,573,
453,564,267,869,318,563,379,340,992,753,081,591,709,598,749,170,886,614,821,
793,864,284,259,797,984,698,275,207,800,619,952,144,357,964,361,977,772,019,
482,536,413,272,201,896,425,985,267,739,871,397,323,524,036,051,110,798,883,
282,101,233,993,446,936,500,281,855,943,814,984,439,918,630,826,392,031,822,
901,197,075,931,484,833,509,535,368,072,972,209,530,507,743,788,480,381,126,
011,975,757,296,739,285,398,577,624,119,538,305,030,158,674,853,129,884,880,
133,210,349,844,621,063,878,574,118,210,730,134,696,150,583,968,807,020,719,
063,553,800,665,625,401,207,910,503,268,607,716,698,633,937,625,460,116,886,
368,073,084,837,435,416,639,514,248,390,723,274,352,594,533,768,516,576,565,
522,426,939,263,788,029,701,311,200,598,687,926,130,760,877,460,026,589,683,
139,757,459,133,290,023,031,906,654,323,175,262,507,954,321,783,960,181,944,
572,608,752,982,144,644,908,279,539,008,749,683,095,313,050,990,976,912,395,
006,242,341,595,884,577,126,690,407,927,201,395,176,636,310,182,471,442,753,
320,426,061,176,944,251,775,716,541,370,220,747,649,747,460,622,123,439,063,
857,468,610,474,955,287,405,633,067,150,358,627,923,610,744,237,770,749,846,
509,722,134,021,115,593,560,098,897,535,087,173,054,124,750,339,765,353,062,
810,040,264,296,858,865,230,233,675,658,720,770,058,437,735,695,104,900,340,
946,709,221,533,819,012,603,651,120,604,171,954,977,727,972,028,382,379,170,
749,215,870,757,872,837,970,443,502,800,695,267,847,273,420,229,015,045,533,
487,313,389,087,154,217,850,383,981,572,405,324,956,279,116,615,199,724,098,
459,179,364,979,219,282,719,053,299,256,994,973,493,930,282,915,286,928,377,
580,367,655,575,577,987,552,464,585,558,720,475,933,381,867,222,406,504,988,
617,092,599,774,283,192,638,081,639,795,173,879,989,842,431,300,598,722,049,
602,123,409,736,116,350,035,066,509,877,064,757,760,428,936,229,090,228,113,
898,795,428,493,025,856,490,980,540,532,393,444,171,762,733,105,100,932,097,
530,497,851,936,252,611,249,509,797,364,798,743,023,737,817,257,232,943,664,
585,520,615,985,868,646,685,215,444,142,046,519,125,923,279,810,279,888,534,
046,010,082,513,725,172,821,018,520,469,006,389,580,512,256,240,556,815,451,
682,788,057,583,363,441,234,736,132,308,126,916,914,259,484,484,343,028,576,
923,357,441,096,792,830,295,404,187,397,242,267,915,667,169,310,123,241,946,
770,808,733,625,930,894,304,646,283,914,414,336,483,150,543,083,372,110,021,
117,990,018,908,324,268,423,406,109,654,052,927,399,651,830,918,240,600,755,
680,232,947,185,073,923,201,399,323,943,891,253,405,338,814,824,191,357,175,
251,450,343,369,445,268,589,789,242,966,323,823,445,353,276,488,550,067,067,
711,076,853,091,957,324,574,517,378,365,279,132,983,772,106,631,408,661,662,
200,473,038,978,449,919,958,546,427,626,036,800,633,830,304,082,223,384,024,
870,141,738,640,561,060,261,965,605,452,516,498,731,252,627,463,803,949,364,
431,875,489,889,437,155,962,871,464,767,467,517,767,175,186,408,416,389,296,
017,985,394,110,551,587,597,062,306,689,038,086,685,145,215,580,017,215,692,
480,789,942,779,678,904,768,173,681,272,126,350,741,738,516,856,705,981,393,
778,857,276,369,175,560,088,720,807,011,987,377,045,304,079,801,725,177,779,
698,794,582,877,770,100,783,426,503,374,111,208,593,830,479,805,663,641,702,
138,822,131,518,862,645,056,345,817,564,323,967,099,869,174,431,902,326,122,
863,423,868,979,111,919,031,848,975,427,953,677,874,275,763,459,622,569,178,
713,151,194,888,852,124,091,900,677,773,654,606,876,792,190,039,920,006,054,
779,267,068,506,526,691,118,772,487,406,457,654,682,641,070,775,667,331,190,
207,595,474,518,496,698,849,084,399,708,366,570,353,374,174,781,769,784,387,
480,632,422,861,857,716,764,475,468,698,266,607,848,516,599,736,385,499,657,
630,294,215,532,245,579,876,113,925,181,216,736,482,822,698,941,267,647,547,
107,223,755,906,075,036,368,067,452,456,942,409,159,357,411,973,898,058,548,
245,143,946,827,309,732,530,530,715,858,982,355,392,282,974,907,582,053,123,
485,727,394,466,443,095,823,990,272,754,024,415,409,187,293,977,505,662,910,
355,073,782,132,110,785,289,452,741,099,285,455,952,245,858,295,253,290,033,
220,239,687,438,441,993,174,021,868,335,794,482,831,921,675,140,907,193,732,
126,215,191,810,928,006,484,853,321,231,026,999,077,419,877,607,822,538,709,
568,182,472,745,782,738,382,228,897,953,886,478,656,730,052,439,558,131,518,
362,687,070,628,565,986,160,301,956,855,106,702,610,302,790,995,388,849,491,
464,812,025,795,205,657,500,121,942,754,797,343,469,821,478,241,485,302,766,
511,004,588,149,661,274,623,257,261,736,863,238,486,665,680,419,302,759,178,
468,757,714,354,466,195,377,368,189,315,612,044,776,495,255,338,449,559,653,
301,853,823,660,301,906,321,850,721,264,036,196,749,248,906,090,575,389,362,
428,103,906,759,340,581,803,685,698,600,544,550,479,370,706,301,379,717,017,
571,683,893,242,885,606,940,110,601,429,927,801,211,749,696,847,458,936,302,
831,850,437,369,855,355,762,942,736,239,666,121,264,749,462,672,595,890,204,
997,306,014,168,636,248,604,116,793,024,271,762,459,606,734,996,682,144,570,
600,025,563,043,643,661,358,566,497,563,419,454,641,449,766,131,385,893,245,
547,297,450,641,178,398,458,592,037,438,736,147,719,462,181,085,893,890,474,
020,128,174,530,828,985,737,176,618,708,421,024,850,132,083,368,542,303,465,
332,998,163,408,414,230,156,565,940,306,282,911,844,691,960,429,462,184,048,
511,791,853,442,822,916,530,146,152,028,269,383,632,367,309,956,472,271,722,
028,426,984,251,315,999,517,668,807,751,877,805,785,181,283,777,700,049,891,
678,712,808,561,434,112,300,672,287,579,969,659,611,669,708,982,402,453,389,
823,830,703,932,372,125,601,231,904,972,285,413,717,370,001,912,690,882,362,
063,125,670,404,702,695,363,774,694,317,213,416,513,856,302,826,421,119,391,
028,474,846,591,071,437,631,147,271,381,613,008,281,824,321,004,545,177,371,
915,454,388,429,952,980,821,134,500,275,623,957,418,358,220,999,298,198,073,
807,927,734,363,834,935,781,156,367,341,827,183,097,985,635,277,738,064,954,
028,279,241,744,927,724,870,345,219,585,436,301,708,059,071,939,156,081,629,
140,534,321,756,570,446,932,318,304,735,250,077,728,531,060,382,823,827,517,
148,713,932,634,529,093,540,259,125,910,851,585,632,497,316,199,972,417,939,
228,849,397,638,117,360,328,387,974,226,315,274,935,907,557,983,596,735,516,
128,379,979,239,497,570,114,097,334,481,621,671,627,440,349,948,515,826,862,
444,463,405,999,710,468,646,396,703,438,627,336,320,904,151,731,369,494,755,
099,001,551,104,648,331,745,651,771,096,824,686,671,548,461,499,307,062,050,
710,315,903,547,942,578,767,328,791,853,840,283,882,620,167,444,589,931,476,
026,320,194,645,435,691,748,015,824,452,751,057,799,596,985,937,342,202,805,
295,055,459,923,842,736,891,559,038,299,645,124,373,234,947,258,128,113,577,
989,162,305,954,606,186,722,163,239,755,019,502,875,221,852,033,141,821,163,
580,344,278,238,990,721,478,686,948,596,239,604,348,783,642,957,469,876,897,
365,459,753,909,507,369,660,586,370,427,558,143,291,018,967,423,123,166,907,
103,823,166,862,549,778,882,526,256,838,503,799,078,689,498,683,344,865,940,
975,502,534,827,281,568,394,565,233,123,179,422,975,699,393,530,028,639,133,
865,161,938,795,969,878,434,895,143,391,654,530,298,049,206,699,082,451,801,
480,804,026,738,903,988,601,396,143,680,845,872,863,317,272,871,955,132,440,
876,857,964,585,878,663,445,339,254,088,364,859,638,578,029,917,989,544,758,
089,815,372,348,960,550,660,241,539,048,194,498,821,939,337,336,641,458,240,
177,898,199,562,846,098,143,465,317,993,463,258,936,142,481,700,037,725,990,
068,040,557,349,686,760,149,685,703,853,233,107,897,122,126,558,748,852,004,
388,719,244,029,505,067,327,294,884,347,354,048,131,650,319,051,314,301,132,
450,545,582,348,719,586,073,265,152,541,752,230,956,845,335,727,886,785,917,
024,966,664,231,235,744,053,146,955,375,842,153,744,277,562,616,438,573,277,
799,464,233,514,588,684,346,715,206,408,667,935,972,281,235,199,011,543,208,
722,037,522,114,859,530,224,823,797,441,065,407,253,364,503,214,131,544,238,
301,986,469,314,120,862,875,264,792,071,665,378,700,410,027,369,846,494,444,
269,518,045,725,024,813,998,347,827,983,365,936,018,661,885,442,855,856,289,
021,087,591,973,251,545,126,373,755,379,441,082,928,160,498,373,718,241,798,
325,891,045,812,875,422,690,774,821,594,961,547,123,085,302,652,637,684,771,
442,245,452,127,315,456,158,135,627,820,386,243,974,461,198,517,124,126,315,
191,459,010,071,969,059,922,519,035,739,553,971,671,285,766,083,959,468,167,
506,459,796,544,369,798,410,360,890,871,021,988,662,844,615,839,155,011,497,
315,803,467,251,315,724,802,072,677,291,934,103,794,493,936,349,970,379,792,
041,965,875,322,660,662,464,998,655,187,592,265,671,461,092,145,767,242,024,
812,075,451,298,782,365,004,883,005,267,660,597,418,097,117,982,275,965,127,
757,787,600,712,087,884,378,809,253,845,051,493,214,809,461,587,574,997,985,
901,956,312,243,931,352,901,395,011,507,427,789,550,373,158,652,088,576,447,
502,487,307,246,126,091,730,338,408,626,518,184,667,847,033,472,875,013,783,
234,638,193,010,439,334,114,650,026,062,525,366,141,683,586,728,311,147,433,
213,993,193,360,403,503,844,273,555,012,161,460,252,628,268,042,437,070,048,
231,998,676,357,977,858,374,691,552,583,991,721,377,499,935,929,693,391,485,
671,237,159,078,591,361,344,491,679,410,951,328,342,596,441,717,246,818,813,
516,250,233,002,248,842,494,414,174,073,006,512,265,147,888,496,827,368,803,
086,269,412,662,732,452,094,664,211,721,106,104,170,377,782,787,526,535,017,
577,853,319,018,105,241,846,446,821,873,854,933,593,090,325,064,704,258,867,
968,916,837,325,687,348,762,146,749,972,084,071,115,973,510,670,353,717,754,
125,406,667,477,807,074,285,556,209,642,071,082,658,973,902,364,652,744,263,
379,157,778,809,434,162,105,675,586,987,911,025,319,392,027,392,478,278,376,
827,811,507,782,529,475,414,624,306,339,617,608,030,334,757,155,471,624,987,
311,531,130,869,842,404,263,955,333,915,467,555,859,880,088,564,713,453,622,
213,123,273,511,407,007,298,452,731,335,279,275,201,102,816,807,790,283,983,
461,455,764,779,943,788,934,355,231,904,402,455,325,667,715,500,083,110,797,
677,315,781,260,272,154,954,044,150,107,816,766,134,818,262,796,190,642,729,
328,709,424,615,004,422,757,721,319,724,794,808,846,581,523,651,161,290,875,
850,041,956,641,545,294,529,440,120,894,435,457,668,912,773,457,717,170,572,
621,398,094,039,704,439,135,710,264,976,909,925,721,811,219,615,271,863,125,
694,125,090,049,363,462,457,803,000,096,855,841,542,695,308,728,138,362,064,
113,170,952,023,279,010,197,097,188,382,569,183,976,940,667,735,121,317,371,
200,302,135,654,566,273,074,188,011,814,019,425,646,199,611,987,894,621,233,
202,497,009,706,759,670,150,359,184,147,759,506,613,301,578,124,853,799,160,
551,938,162,321,436,072,099,869,366,566,069,680,563,754,448,216,731,348,660,
050,241,008,483,710,254,051,220,239,622,478,991,564,267,691,140,788,692,239,
807,275,839,815,031,840,494,529,799,729,883,603,982,907,442,408,596,076,353,
514,531,777,203,889,939,252,613,739,412,407,209,285,764,612,409,498,287,851,
195,807,875,587,169,943,135,032,857,221,932,138,866,877,666,818,037,713,222,
592,952,655,328,633,730,641,126,939,029,156,323,525,998,354,883,205,966,540,
669,109,205,701,791,338,196,308,993,692,017,635,078,331,288,156,954,717,533,
557,608,680,241,038,348,915,306,873,379,471,661,593,380,536,482,846,550,950,
516,286,532,738,001,197,474,345,850,737,941,974,749,956,920,069,824,968,154,
072,273,818,724,589,006,138,498,283,385,282,117,028,677,925,366,589,188,999,
889,105,359,988,501,000,565,398,545,513,683,599,452,838,768,316,997,893,414,
231,743,713,960,244,614,469,541,316,349,076,781,787,987,701,635,022,335,905,
958,907,236,227,458,810,786,558,943,167,072,209,447,087,816,220,679,596,511,
840,580,587,101,117,090,052,521,802,699,108,247,976,223,494,103,523,065,928,
249,999,171,249,958,917,434,618,806,203,908,101,667,621,397,263,360,569,132,
899,699,720,419,168,266,009,410,906,322,678,560,734,207,295,530,174,044,408,
412,917,055,542,445,957,793,010,988,748,732,375,475,652,971,377,325,719,455,
902,749,178,899,039,630,640,407,599,441,620,069,625,984,622,073,678,657,110,
409,179,502,695,432,547,060,976,217,657,697,787,984,526,190,656,943,569,994,
660,429,424,516,001,497,924,484,960,986,227,761,757,166,909,714,151,781,004,
426,103,987,227,632,912,174,660,214,191,374,403,944,303,369,789,132,436,599,
521,045,648,975,281,150,305,475,951,196,597,818,246,557,515,267,803,339,577,
262,776,655,918,653,315,145,602,201,792,386,704,722,083,270,042,758,097,427,
201,033,045,692,929,706,827,297,458,758,630,006,114,979,936,737,407,111,848,
676,567,235,140,221,066,916,542,405,978,706,881,331,391,180,630,243,556,843,
095,738,721,086,287,319,909,715,439,599,590,951,539,404,351,762,234,109,880,
103,904,923,388,135,522,233,316,945,623,745,098,904,985,678,949,164,719,649,
363,977,667,653,913,577,024,249,401,489,883,748,606,499,372,058,690,045,013,
282,987,279,475,334,541,687,279,341,253,373,799,348,108,923,168,707,610,619,
305,928,273,805,840,887,023,702,024,794,052,358,872,406,688,733,505,835,040,
614,017,956,949,690,348,270,983,147,285,902,289,368,039,703,303,452,128,384,
546,369,751,580,951,960,252,557,008,243,833,716,466,547,120,157,279,553,537,
994,719,811,742,985,882,236,691,974,075,704,178,517,788,913,684,211,365,262,
822,334,368,014,921,489,429,987,166,757,193,498,415,203,009,904,997,278,308,
665,831,831,512,956,837,349,031,124,827,108,585,128,482,159,856,900,128,776,
805,690,568,690,418,267,143,359,255,146,172,952,271,774,784,468,299,360,646,
913,873,328,327,644,423,193,925,016,779,410,295,181,932,582,377,369,481,292,
690,751,246,111,001,671,782,839,819,352,568,334,890,652,692,663,533,735,694,
320,534,038,681,748,003,214,871,615,923,350,528,710,847,013,598,483,256,527,
459,952,768,750,556,578,488,628,933,137,927,691,120,900,135,078,134,073,226,
688,685,985,642,794,210,453,487,326,555,922,443,217,345,437,982,123,297,107,
356,529,504,512,051,454,822,688,325,006,431,642,749,459,377,790,590,534,987,
415,925,929,634,747,152,322,619,100,433,881,393,509,616,150,389,990,933,420,
722,065,498,096,128,197,666,358,495,599,997,288,032,108,492,275,738,897,686,
905,508,855,243,967,257,463,114,800,357,875,866,226,555,115,663,986,013,501,
562,795,251,337,903,154,807,559,849,295,980,954,025,032,980,917,067,216,192,
953,859,144,333,861,281,386,609,139,642,366,557,781,140,851,646,438,044,975,
396,882,423,408,099,076,533,615,755,712,403,027,374,329,722,023,115,078,723,
148,672,308,393,845,166,026,994,453,051,965,595,047,353,944,234,194,945,317,
897,241,008,751,289,285,760,576,929,403,194,606,881,097,431,973,668,162,434,
232,697,930,075,627,658,583,939,837,021,711,000,335,926,521,358,029,173,726,
231,642,569,479,609,639,228,978,217,304,346,852,513,330,813,183,480,305,931,
411,864,429,301,445,349,045,280,575,719,997,759,175,711,698,389,476,543,452,
343,695,039,542,212,988,408,266,297,214,103,261,055,861,631,621,629,699,541,
436,924,324,262,545,336,776,020,261,972,552,425,113,535,176,163,518,914,330,
598,707,166,960,264,760,410,163,928,572,378,692,621,832,192,402,220,009,743,
382,598,064,384,535,074,117,837,138,996,534,257,333,507,446,016,014,509,045,
447,281,484,061,140,814,980,363,066,736,237,068,753,733,264,943,516,849,093,
702,695,134,133,726,881,711,213,714,367,450,168,399,128,079,482,107,284,981,
980,596,271,632,126,252,007,968,693,559,098,901,440,642,489,726,519,670,403,
959,342,109,211,518,917,073,580,840,789,200,370,679,622,269,319,306,187,834,
486,718,580,736,755,071,902,009,038,231,517,675,679,826,636,264,037,115,104,
138,988,888,092,614,296,264,320,161,988,049,781,381,003,549,184,667,075,124,
109,976,577,171,618,916,101,880,657,821,090,373,635,901,159,895,230,469,668,
577,527,523,817,233,901,268,434,665,033,108,526,353,786,028,373,676,447,092,
905,813,616,829,459,348,388,878,559,811,325,944,154,985,756,844,543,836,717,
485,340,546,413,960,362,436,571,848,810,597,349,607,413,020,343,181,043,602,
778,062,060,493,125,671,532,030,243,771,660,799,939,805,952,121,717,906,707,
332,752,365,338,533,883,977,894,826,631,694,971,770,340,880,696,470,590,865,
128,063,578,741,378,639,960,000,772,881,169,318,700,962,922,597,359,364,797,
846,376,582,166,511,920,300,291,730,185,098,044,853,012,238,470,074,661,998,
614,955,352,406,632,015,559,432,245,235,994,232,370,892,923,313,302,160,179,
878,679,189,936,477,492,697,252,635,318,276,283,692,246,099,517,770,944,200,
770,420,909,119,365,782,181,267,638,292,951,242,728,352,800,065,820,467,558,
277,924,794,193,963,090,171,445,754,455,340,312,269,311,297,019,693,150,716,
797,507,267,105,939,265,550,762,677,593,018,149,617,868,526,641,199,634,070,
294,296,946,633,562,347,435,205,352,562,000,691,473,136,535,718,745,976,984,
062,484,029,045,977,523,492,356,271,105,300,466,035,998,379,413,422,047,622,
040,740,641,402,289,411,561,049,635,714,843,814,376,660,599,832,031,156,150,
268,316,130,858,895,779,058,347,941,026,285,825,561,390,745,767,137,409,198,
623,673,990,232,503,188,354,005,034,910,880,641,313,896,372,348,073,661,297,
937,525,215,550,828,565,868,304,612,376,719,089,887,605,054,851,251,642,286,
431,673,121,665,757,111,503,959,763,200,174,645,903,009,726,334,189,606,469,
539,199,005,416,175,557,633,264,004,702,600,195,092,471,616,922,136,235,799,
843,464,700,657,202,763,485,884,210,241,150,662,151,483,682,727,684,605,481,
720,496,545,627,289,669,708,861,035,923,742,150,295,538,327,742,215,811,797,
215,740,159,637,887,058,137,545,521,587,114,456,372,208,134,998,197,254,322,
617,659,766,379,637,995,716,578,517,106,198,914,840,755,916,932,188,407,246,
368,119,566,743,066,877,911,331,759,232,789,198,444,522,808,200,371,420,678,
276,696,982,145,480,682,414,234,834,047,300,147,556,954,659,062,094,393,833,
469,797,249,350,263,900,481,084,264,798,354,876,407,286,022,411,712,972,724,
789,051,965,521,847,220,778,419,927,235,185,923,194,248,267,761,171,737,526,
201,413,489,022,413,292,534,533,294,820,479,678,066,684,011,773,882,567,584,
466,104,613,386,867,651,477,018,800,030,532,600,626,843,768,760,400,214,373,
327,653,160,475,633,496,561,721,705,290,420,527,071,472,982,408,661,296,255,
506,259,430,445,320,818,929,479,261,475,886,072,484,101,505,222,612,030,731,
515,752,616,392,188,942,383,178,724,355,089,412,878,582,508,569,769,757,103,
968,845,303,538,558,339,463,962,939,080,028,705,414,163,324,400,896,366,512,
355,236,020,865,513,012,128,292,797,969,092,150,822,502,335,516,640,720,209,
775,845,828,221,516,698,386,343,576,040,362,206,774,599,504,666,945,189,426,
571,114,009,506,688,092,803,333,767,126,648,424,619,383,786,375,810,235,300,
830,221,592,619,840,731,620,217,355,443,015,716,560,597,811,955,511,925,103,
041,383,752,021,003,323,142,560,552,405,442,403,861,950,235,136,423,891,055,
671,755,507,118,281,492,233,094,553,932,851,206,412,586,907,032,945,777,613,
681,269,776,382,360,496,940,892,266,015,434,923,763,451,905,457,251,331,197,
250,993,190,519,933,624,237,807,868,680,160,212,095,180,202,302,272,515,072,
142,339,419,020,266,381,886,054,939,864,517,718,198,518,437,654,324,008,301,
323,669,224,302,665,396,739,105,233,471,114,342,040,187,800,710,595,436,903,
487,271,203,812,478,160,809,301,345,027,233,687,982,419,499,752,646,124,679,
562,827,663,436,429,022,264,897,970,024,542,767,420,366,488,494,455,948,476,
411,634,673,792,682,666,768,155,914,696,801,278,227,053,789,003,232,347,304,
096,224,433,381,687,518,881,211,023,043,864,680,463,314,734,476,883,863,843,
847,893,257,467,588,652,329,184,549,339,853,331,995,076,190,212,806,752,734,
752,468,096,210,177,370,368,019,151,190,866,762,939,258,449,263,978,427,771,
885,414,649,398,285,907,183,227,345,852,029,212,392,727,633,701,397,200,953,
815,834,256,940,452,205,308,536,677,366,542,894,893,132,188,924,179,231,365,
101,223,565,198,135,640,683,487,933,863,760,490,257,337,541,910,556,849,234,
660,926,289,098,561,083,868,651,426,485,387,656,182,219,447,452,127,573,906,
390,126,093,200,599,667,710,556,936,091,816,543,187,264,410,975,786,575,931,
056,806,327,129,627,422,083,506,045,440,852,085,044,393,732,374,038,207,911,
177,006,921,381,566,333,075,192,189,184,924,849,009,579,179,302,720,654,974,
007,988,685,636,082,114,760,372,424,962,647,214,744,444,235,113,333,212,345,
518,475,439,604,839,822,193,271,670,916,624,816,986,312,267,322,145,475,088,
796,557,278,486,469,101,280,320,901,626,355,237,011,375,041,201,574,600,492,
883,008,626,264,454,445,713,346,914,971,335,709,004,960,688,944,808,180,890,
394,571,634,296,219,790,683,738,032,448,091,598,204,954,401,766,884,172,232,
507,268,191,603,243,071,609,512,975,514,506,364,359,772,161,921,171,049,915,
286,513,601,140,642,559,116,023,492,884,895,468,141,859,388,898,551,306,673,
928,230,885,334,534,916,760,331,841,781,466,642,827,294,452,413,994,085,016,
348,774,510,329,599,157,683,539,822,742,999,904,530,162,072,849,004,821,721,
869,594,492,000,251,497,704,203,599,401,981,613,215,879,535,718,935,665,555,
571,176,805,355,642,788,820,555,300,509,271,786,535,643,378,279,547,041,476,
793,765,332,528,225,648,156,465,822,490,147,839,953,909,560,927,651,654,545,
675,785,602,629,269,848,177,027,401,651,250,270,242,639,789,763,984,987,171,
881,030,302,398,760,134,458,693,333,133,168,336,034,816,726,350,605,186,265,
124,969,456,192,079,795,283,514,726,980,975,002,209,720,463,258,665,543,088,
218,583,921,445,533,417,797,619,723,779,876,164,979,456,474,931,287,977,469,
919,814,082,931,917,924,812,326,327,945,987,096,821,572,914,676,050,637,150,
386,362,838,429,198,085,107,465,140,694,289,320,135,093,528,552,541,358,943,
835,595,638,318,256,299,965,278,470,829,110,570,317,434,074,727,563,119,514,
907,666,744,120,012,107,149,076,945,472,025,092,456,777,059,084,919,868,144,
230,062,188,141,503,547,050,084,871,895,561,347,180,495,211,956,501,866,513,
547,643,975,630,846,557,512,925,471,122,121,033,853,164,769,961,837,165,472,
602,472,908,929,623,398,108,190,106,465,720,843,986,436,744,771,994,957,074,
800,240,542,665,913,872,660,698,342,850,696,708,202,002,251,417,515,308,786,
857,573,261,972,580,303,997,175,150,372,663,016,673,293,128,367,676,400,847,
107,295,066,321,083,422,304,712,628,141,227,726,656,850,350,621,171,041,955,
677,883,473,715,417,635,734,479,894,176,078,114,108,402,050,219,346,532,544,
575,659,300,818,415,293,415,438,270,306,867,762,481,706,936,895,449,151,552,
284,380,573,426,763,813,152,548,588,713,761,678,973,263,416,805,584,911,760,
100,239,542,867,820,704,941,370,916,862,296,568,942,032,676,555,023,456,265,
218,144,650,116,393,121,522,585,342,604,942,153,700,581,024,388,628,018,532,
097,974,346,240,421,919,982,886,277,991,661,780,176,726,850,962,867,477,473,
225,073,762,309,547,407,989,982,698,980,508,537,585,231,514,408,432,250,129,
550,120,411,722,551,076,583,642,529,217,081,598,631,333,466,133,916,238,968,
689,586,673,601,306,994,518,000,348,233,302,079,891,720,278,124,874,264,328,
319,675,713,294,224,026,352,722,215,833,593,638,282,510,210,909,775,768,524,
086,057,296,695,225,621,683,675,409,043,090,207,467,123,808,483,409,045,492,
809,104,188,755,657,213,635,648,506,936,466,085,220,047,670,575,106,366,077,
723,434,867,821,279,785,376,946,081,766,602,262,511,240,521,491,340,873,766,
501,278,353,086,138,100,635,781,756,254,036,681,542,594,294,850,461,407,794,
223,672,989,357,196,553,034,429,729,847,207,419,434,399,551,282,550,693,093,
315,777,217,441,034,512,562,723,639,625,422,345,343,858,760,301,170,136,897,
529,275,436,500,207,844,641,176,557,595,564,346,310,877,147,078,822,233,500,
956,841,366,358,253,934,189,640,294,116,517,196,509,304,664,602,448,540,623,
023,057,384,021,233,344,062,281,733,735,949,217,031,678,152,834,731,365,562,
777,403,462,446,202,526,577,043,838,108,887,345,892,306,471,711,005,940,554,
740,592,622,365,811,056,110,034,772,217,261,308,896,021,704,061,738,432,892,
404,019,090,327,775,900,761,583,735,588,243,764,352,930,433,411,735,666,793,
583,731,255,286,627,036,985,864,404,446,448,478,402,315,023,860,326,440,642,
932,319,553,825,421,647,027,316,802,793,806,682,831,625,434,122,914,278,713,
630,064,690,761,926,587,091,412,646,359,107,539,284,881,363,920,842,980,863,
289,702,216,387,165,459,594,586,219,691,448,560,513,163,871,656,263,716,012,
576,446,516,602,749,776,597,222,155,828,588,833,532,682,656,727,554,338,732,
215,560,956,621,419,576,594,662,337,056,466,725,066,810,427,157,491,550,474,
259,557,820,073,148,678,694,891,632,501,651,372,174,583,163,471,073,482,444,
381,930,342,928,491,245,577,983,768,944,841,670,597,672,993,014,341,775,041,
264,308,755,361,195,220,184,077,971,944,333,306,845,121,844,890,627,535,082,
298,698,539,761,204,004,299,951,562,004,538,905,188,711,076,479,298,551,276,
650,191,335,636,119,782,170,806,963,650,070,776,053,695,608,169,936,034,864,
615,584,006,018,726,118,636,148,199,232,772,361,959,311,811,353,390,957,892,
868,290,510,688,748,074,274,630,008,148,668,038,766,397,130,419,659,305,444,
915,968,530,281,607,850,537,116,850,746,560,503,197,086,336,306,012,116,078,
147,849,314,164,386,361,077,675,235,221,409,152,898,294,025,105,609,333,028,
292,105,416,404,534,260,734,871,631,860,358,082,740,485,112,358,690,296,746,
007,142,513,492,367,990,526,042,285,916,891,573,587,585,674,925,835,142,367,
500,663,584,203,210,579,838,909,937,382,927,848,973,337,000,828,146,829,261,
164,948,023,611,204,431,979,714,393,087,130,159,693,575,595,740,651,937,750,
052,466,274,801,675,215,942,511,308,244,741,900,132,860,357,900,001,127,388,
281,670,473,453,599,260,347,459,930,610,945,179,896,579,469,689,816,875,891,
005,555,689,925,171,938,156,251,961,663,227,651,697,938,773,468,302,321,937,
175,469,516,096,835,905,783,885,486,039,801,678,568,800,175,793,248,658,640,
099,554,585,079,280,684,212,489,256,045,192,056,232,397,686,084,487,617,552,
340,061,281,179,753,322,022,331,111,495,974,354,259,864,646,238,421,543,147,
874,384,468,330,506,968,243,803,922,883,072,132,511,838,783,633,880,411,535,
715,582,478,922,625,372,772,127,654,633,607,596,011,481,479,677,750,915,455,
148,418,669,205,271,392,152,615,335,165,948,595,465,400,599,175,803,635,970,
288,420,869,668,456,630,161,071,964,821,523,682,218,298,948,100,909,572,808,
808,810,526,565,469,694,271,010,329,390,890,996,915,932,172,916,974,270,637,
417,835,095,821,672,203,679,382,891,271,134,152,662,743,001,893,383,399,205,
918,176,254,654,968,198,995,035,358,718,181,705,260,794,443,751,841,822,277,
084,488,872,702,898,416,896,446,620,747,630,333,711,586,875,368,652,243,729,
015,801,820,281,941,977,881,871,943,510,768,756,330,440,876,072,125,899,271,
313,467,780,259,445,787,233,924,160,225,917,099,877,902,644,189,647,098,077,
999,535,295,654,208,417,451,212,858,990,820,299,543,117,935,117,543,688,928,
146,533,400,832,342,027,824,381,487,630,343,221,671,829,641,740,494,261,400,
076,868,429,839,523,607,625,566,851,651,341,456,171,411,227,621,319,831,572,
019,224,325,393,491,333,158,114,871,460,807,207,869,687,789,198,684,237,400,
934,855,228,457,832,506,828,698,932,315,018,614,930,741,316,623,204,937,548,
498,036,400,100,130,721,484,207,237,862,766,579,228,296,522,185,403,172,650,
529,737,351,639,494,107,025,867,732,638,403,584,321,597,826,694,858,983,252,
608,338,971,764,113,734,313,978,086,817,855,148,091,024,483,304,232,757,504,
319,448,046,658,529,978,940,701,747,813,638,548,455,936,394,135,299,414,330,
976,078,027,915,621,442,075,222,802,610,197,109,976,062,079,481,910,305,883,
479,455,799,472,172,899,787,131,348,236,376,791,303,366,357,407,289,792,064,
494,677,342,612,984,023,272,806,003,868,365,140,124,704,433,038,006,198,933,
539,933,029,311,910,127,488,764,626,785,878,595,314,259,324,808,281,267,402,
435,705,927,645,791,703,353,336,871,308,727,139,347,362,237,643,034,835,000,
537,194,422,060,204,578,099,743,309,054,224,054,014,110,784,157,541,768,794,
441,139,373,482,219,260,427,404,819,298,335,613,822,234,629,869,294,883,253,
372,103,266,201,742,179,056,624,084,331,168,860,614,884,474,904,311,426,989,
072,223,060,710,207,509,978,622,688,259,515,748,970,455,760,363,430,850,303,
396,954,905,276,251,632,516,924,727,270,498,425,776,177,371,460,986,767,219,
535,550,029,907,753,848,128,397,993,314,534,723,520,236,570,463,729,935,098,
256,923,851,071,476,953,827,540,225,154,452,934,813,293,584,499,385,135,849,
273,354,817,919,086,300,663,620,685,703,385,372,576,309,645,784,849,919,897,
065,640,359,114,301,312,313,118,292,373,873,652,003,966,309,742,221,431,893,
933,819,587,442,872,325,638,197,981,509,539,086,627,321,442,401,946,438,943,
149,732,079,936,713,717,037,202,402,672,297,999,329,242,554,073,039,948,625,
948,944,353,299,229,519,399,993,372,542,842,949,261,409,930,065,983,730,388,
080,482,207,970,874,304,078,417,584,981,758,962,133,244,319,515,509,989,426,
637,347,916,235,114,266,117,372,947,960,069,242,812,083,547,849,557,913,370,
567,681,147,027,733,347,743,256,925,228,914,522,372,004,473,950,717,465,097,
729,236,846,163,775,286,174,985,286,052,732,706,414,191,330,841,784,023,650,
891,354,988,243,278,349,591,531,098,959,701,859,620,926,286,676,807,245,972,
740,435,855,216,054,007,849,127,775,121,175,412,485,577,351,456,124,148,919,
629,545,312,716,210,215,501,741,878,325,614,235,721,205,356,164,889,769,769,
309,702,820,299,881,023,877,881,236,892,600,010,845,651,999,643,750,759,835,
366,684,870,229,890,759,162,529,558,146,583,629,745,899,846,014,155,404,036,
164,209,382,366,516,575,575,757,065,032,759,938,926,915,257,693,848,691,543,
567,974,794,577,638,465,637,528,969,345,338,968,791,707,367,756,432,875,451,
778,711,128,932,608,686,828,702,926,661,312,536,022,605,872,180,018,694,955,
712,921,918,778,644,863,288,570,813,408,603,022,630,917,895,140,654,464,319,
939,837,610,505,472,399,433,196,957,038,557,548,783,963,747,125,258,617,230,
460,666,289,408,136,790,993,196,357,700,571,119,417,452,865,298,103,450,638,
982,114,198,757,700,075,832,555,772,746,854,997,234,616,374,428,154,142,558,
579,773,277,709,554,885,089,237,480,011,806,956,662,438,657,774,171,294,234,
588,590,440,451,662,183,019,920,977,086,813,013,667,850,030,846,435,181,083,
665,212,337,459,860,968,433,306,427,718,016,795,115,738,915,195,138,772,349,
862,309,824,191,696,671,749,795,350,796,788,819,924,495,648,819,764,032,561,
036,724,623,113,177,089,755,513,624,298,036,234,837,362,563,514,978,126,161,
686,487,528,647,891,065,770,057,444,214,259,076,062,273,429,652,359,080,814,
684,078,607,858,396,934,956,072,808,623,026,984,416,005,987,158,989,559,719,
786,104,002,742,681,907,751,438,346,732,936,691,327,961,897,019,710,069,209,
333,519,079,265,384,334,938,761,232,317,247,084,333,183,380,608,097,266,615,
833,465,571,918,641,385,972,981,633,879,744,199,409,466,876,298,428,009,371,
079,067,285,404,047,560,820,752,453,506,784,835,230,184,750,411,379,128,134,
420,182,763,744,493,500,418,640,870,712,244,707,911,903,352,113,931,896,105,
612,952,198,400,849,518,267,085,467,064,504,574,789,326,741,914,779,604,376,
234,019,423,134,931,216,405,286,034,839,831,462,224,228,174,084,637,488,961,
642,764,531,539,749,777,529,620,765,298,424,074,379,451,324,737,825,365,098,
010,495,235,551,973,074,122,092,619,284,523,286,370,080,314,298,890,162,843,
257,929,904,610,430,315,724,913,003,165,475,452,349,372,766,133,438,929,952,
507,780,934,851,971,491,087,722,307,985,821,139,165,702,501,868,133,903,224,
762,958,366,672,507,978,358,160,375,189,032,662,020,328,758,437,041,760,953,
459,386,403,086,644,570,346,643,875,063,862,226,098,981,345,161,896,049,876,
416,782,342,164,748,781,549,055,448,826,200,314,732,470,305,124,545,406,052,
299,862,537,832,134,204,560,699,193,641,142,161,797,662,251,781,960,601,845,
949,562,213,921,868,152,034,421,045,859,470,926,013,836,733,451,206,804,225,
462,541,815,838,548,504,770,089,867,567,677,432,508,568,059,684,125,541,485,
979,109,433,080,220,520,316,907,598,931,862,562,982,516,992,163,511,127,394,
029,662,232,498,883,277,353,839,481,938,740,728,168,872,984,526,501,451,754,
866,531,889,271,783,967,040,659,355,922,888,087,061,043,630,849,792,992,519,
736,204,813,441,156,087,699,314,475,985,194,207,240,836,857,326,013,146,259,
339,669,055,049,790,630,533,708,501,612,976,284,495,265,121,569,281,781,217,
992,013,578,100,164,832,360,664,662,941,229,916,086,804,210,764,054,594,030,
789,115,062,287,854,613,004,914,012,430,723,172,062,033,524,331,245,194,751,
482,073,889,984,820,064,180,838,003,495,346,930,927,792,773,763,815,703,359,
807,106,982,051,380,631,473,197,432,119,845,057,100,600,725,515,991,717,251,
160,472,199,089,881,822,093,649,697,436,221,729,386,158,240,300,034,693,955,
681,344,513,319,252,065,665,804,210,924,280,147,772,990,322,532,434,450,075,
318,960,961,411,738,282,456,047,678,649,158,658,111,411,699,581,395,522,674,
128,438,413,684,945,630,691,010,642,133,590,741,404,848,637,832,540,172,936,
949,906,364,687,136,854,883,977,129,067,355,786,192,504,309,507,390,217,883,
398,160,273,659,344,735,596,011,638,983,251,001,057,081,788,758,243,667,440,
893,247,408,124,822,168,461,065,686,221,126,978,566,177,309,214,333,521,574,
904,239,448,613,118,328,255,509,266,464,006,993,242,247,808,652,067,287,671,
843,662,694,547,523,233,204,203,750,007,822,455,159,888,580,078,126,317,547,
525,380,504,311,354,141,419,151,518,698,204,026,957,847,294,293,666,783,144,
627,903,752,721,308,599,499,853,296,499,705,233,642,375,696,578,860,202,359,
548,308,301,921,902,763,162,243,886,817,571,431,131,496,925,011,859,832,904,
499,870,482,327,320,384,341,755,571,231,807,213,638,111,315,190,814,203,661,
514,307,882,709,658,562,868,633,710,987,438,234,218,770,317,776,301,518,576,
290,063,037,866,785,245,470,955,017,042,341,552,082,805,073,113,544,356,967,
780,611,948,875,004,223,696,544,314,029,209,654,699,507,104,710,428,718,873,
672,011,342,837,389,679,328,018,399,627,256,241,849,529,348,232,253,284,730,
937,756,684,160,141,334,927,460,223,325,147,254,419,024,405,114,810,517,279,
871,813,897,565,939,397,554,217,256,907,793,653,900,058,455,421,563,705,643,
459,048,601,983,278,576,867,583,199,258,070,274,326,022,668,575,434,088,852,
663,925,530,417,847,361,652,039,924,681,754,963,326,417,168,476,055,769,102,
902,019,877,619,387,917,774,848,550,602,095,669,333,832,365,015,466,165,753,
626,714,481,838,067,879,868,545,886,499,615,492,641,095,739,137,157,760,296,
124,903,291,812,476,039,052,749,875,900,099,253,438,256,546,883,958,722,571,
300,686,843,974,756,805,639,729,733,850,185,818,787,635,435,790,460,607,526,
816,785,078,695,743,247,200,147,534,605,789,241,050,610,604,054,698,795,654,
848,206,781,848,601,847,187,888,415,357,243,745,806,910,726,450,754,807,279,
416,185,925,660,548,848,132,339,597,745,786,893,365,354,980,733,506,025,982,
542,051,419,866,566,971,961,681,448,046,647,730,979,820,737,972,014,681,912,
395,902,529,345,833,922,204,838,566,318,606,902,656,024,823,575,825,729,684,
953,543,680,252,692,270,830,708,978,082,107,695,247,472,155,576,124,061,217,
505,730,613,049,105,436,167,356,258,452,092,145,376,847,485,377,004,084,892,
251,800,709,039,458,424,831,533,636,262,223,768,280,166,106,330,738,423,876,
312,612,783,817,860,944,714,076,505,371,198,897,961,334,770,719,319,532,702,
948,855,936,234,385,217,467,618,992,761,435,902,245,282,349,232,091,097,811,
387,767,736,212,313,320,804,431,542,938,281,917,125,635,105,501,004,924,892,
669,490,177,471,950,908,368,466,963,798,290,025,835,451,383,814,804,469,049,
489,514,295,282,124,165,495,349,039,199,253,235,191,193,087,921,843,858,017,
971,254,683,929,927,691,649,427,371,494,137,330,982,841,329,468,433,875,824,
388,457,973,953,631,467,692,434,491,441,387,800,674,632,482,137,400,784,996,
005,668,044,005,372,211,135,113,056,066,137,089,697,784,559,104,108,597,489,
488,016,397,088,246,613,749,289,147,377,289,615,862,950,191,158,263,005,904,
474,081,805,680,112,863,113,729,651,057,981,262,832,762,534,164,697,910,036,
919,858,671,164,020,984,923,718,927,489,734,579,544,750,933,359,588,839,525,
674,096,399,728,689,282,920,642,196,441,662,316,289,043,426,225,891,851,083,
990,664,518,439,303,575,583,220,833,031,914,594,733,133,405,977,304,967,731,
404,571,453,566,697,027,689,454,582,146,087,274,984,812,254,495,613,716,377,
455,280,373,950,647,369,559,293,930,150,071,431,908,122,582,986,027,468,382,
703,331,738,047,025,141,420,069,143,151,474,348,379,155,033,458,451,777,840,
633,394,638,692,325,934,343,190,263,200,348,021,539,705,822,366,025,597,528,
047,081,874,669,485,358,099,131,779,775,679,490,568,359,009,083,077,818,544,
984,135,400,268,149,057,063,967,511,329,384,916,219,350,394,538,032,932,843,
042,364,848,889,614,664,364,498,298,409,736,950,322,366,394,118,335,328,517,
390,031,781,808,370,699,203,341,188,343,380,193,742,260,356,921,171,332,265,
201,025,347,309,378,532,500,481,251,575,411,864,951,612,345,405,191,236,357,
670,190,858,614,560,729,210,090,865,660,681,301,765,669,540,575,752,347,637,
660,475,064,358,499,554,449,349,772,810,787,022,666,412,056,749,422,508,589,
027,266,877,522,308,015,374,018,426,823,847,629,532,854,235,262,304,924,100,
640,359,318,909,213,451,668,554,715,033,038,622,013,633,036,424,903,846,949,
033,432,218,162,786,976,772,150,409,646,083,859,235,864,418,640,116,866,240,
063,823,344,707,648,734,889,494,717,113,963,650,107,298,348,301,521,822,671,
493,154,744,284,844,557,667,798,191,406,719,968,750,414,795,194,423,422,405,
750,193,573,578,272,828,395,127,643,372,122,860,617,862,674,876,821,975,581,
808,037,580,632,295,672,775,738,498,764,379,269,528,159,830,474,214,165,236,
474,147,446,756,158,131,109,451,182,980,842,549,744,892,168,781,021,911,268,
428,096,667,757,593,713,681,163,636,723,256,584,600,384,977,415,901,399,701,
947,821,125,097,462,352,587,822,648,290,268,954,817,388,970,015,445,208,803,
567,033,723,440,091,423,907,721,787,279,333,652,053,910,271,031,062,315,057,
934,310,566,912,166,288,335,041,770,904,524,427,934,882,360,455,149,438,837,
300,421,687,780,358,840,175,637,674,847,569,811,730,695,806,232,800,973,152,
545,777,584,316,222,215,746,571,752,571,222,266,259,599,095,857,594,086,957,
502,346,627,151,552,161,289,679,065,698,451,925,876,583,668,961,119,226,237,
352,476,770,349,694,039,526,062,415,621,137,139,995,328,321,936,798,860,653,
392,859,804,419,062,747,431,009,645,500,674,821,952,012,988,533,584,850,324,
617,435,077,284,967,535,220,225,900,570,988,110,110,665,271,477,793,187,239,
941,391,182,925,712,823,144,465,578,260,369,431,565,852,226,764,475,650,206,
479,084,695,232,520,012,728,834,802,179,691,552,063,989,881,736,550,440,538,
210,027,003,032,881,664,855,174,797,086,245,528,886,243,823,740,872,500,685,
016,397,530,538,684,654,195,798,274,073,222,127,700,941,266,298,895,677,489,
562,106,783,347,411,763,387,283,325,555,935,512,090,938,390,837,256,132,484,
719,483,177,847,830,040,200,892,576,652,137,876,049,038,886,404,683,040,314,
995,960,462,710,672,509,432,632,135,022,452,207,690,788,342,175,301,623,773,
334,913,598,943,787,632,063,882,854,024,552,290,927,497,219,808,572,587,803,
351,555,916,245,968,787,917,410,633,169,034,365,624,279,546,113,418,190,699,
674,360,394,873,368,180,160,754,025,957,057,530,146,199,400,275,248,469,193,
336,532,644,880,836,628,650,061,742,898,972,898,736,449,154,827,884,519,204,
280,216,084,835,357,344,748,374,791,748,929,361,493,673,995,697,202,195,738,
318,161,407,701,439,315,461,768,149,460,932,895,232,112,589,740,263,173,310,
892,801,002,316,301,345,289,090,197,218,850,837,044,404,772,550,353,766,257,
789,505,993,886,588,080,625,979,201,589,351,691,208,832,612,083,023,575,478,
277,634,769,320,738,230,141,824,177,666,019,004,881,547,646,634,258,436,551,
238,427,286,829,559,508,921,936,565,201,095,788,288,252,418,850,130,217,796,
530,988,733,818,308,735,567,633,268,244,067,689,669,948,010,943,174,700,950,
379,178,587,128,933,594,460,520,514,172,218,235,628,304,641,828,189,041,044,
052,164,223,968,919,965,224,913,185,934,369,277,430,347,398,304,404,549,557,
626,699,332,429,059,800,715,988,501,344,392,940,207,254,524,792,082,179,028,
995,756,519,133,946,932,242,042,302,225,730,516,738,732,730,474,558,436,734,
293,877,511,717,946,980,346,730,811,437,628,280,548,035,972,723,127,023,363,
808,481,608,716,228,037,448,549,860,097,867,495,144,622,829,705,577,469,674,
982,279,238,398,948,749,436,166,487,960,691,638,081,614,224,095,330,435,068,
177,727,582,690,711,559,694,729,915,223,209,857,864,376,468,471,444,659,849,
496,632,928,956,125,955,474,153,915,964,150,987,173,135,536,912,113,763,897,
574,909,123,208,231,913,223,189,927,841,516,763,586,389,078,756,172,579,576,
926,105,941,278,144,772,144,426,959,949,861,858,156,489,868,835,713,083,623,
140,964,386,208,710,478,131,497,352,405,824,685,919,630,394,584,545,586,052,
652,134,646,239,154,319,956,807,687,739,474,479,877,966,196,322,212,546,683,
243,050,000,562,332,242,918,387,533,990,818,484,095,775,260,018,447,210,698,
359,201,388,418,104,765,099,915,320,661,483,616,851,210,666,773,570,479,841,
014,803,045,943,633,783,563,320,108,290,789,263,470,681,859,949,652,200,355,
585,194,162,578,098,239,826,504,180,052,434,928,846,283,437,500,731,884,773,
806,541,744,807,561,245,067,162,868,537,140,828,173,662,175,359,410,743,752,
597,397,669,928,709,960,139,055,617,910,567,768,933,078,878,894,114,246,345,
020,125,660,489,604,790,639,326,645,518,535,306,667,192,525,826,235,047,732,
270,506,780,468,569,984,898,432,208,759,914,949,280,782,255,155,756,450,979,
805,941,816,324,194,832,465,181,646,743,529,843,598,297,025,205,569,127,578,
802,496,101,731,209,542,303,267,936,757,602,379,372,703,166,367,325,593,491,
895,123,348,764,714,894,712,291,520,363,699,803,255,888,949,956,426,371,736,
547,710,049,970,770,428,641,179,723,344,946,919,766,938,054,203,628,724,388,
348,517,845,157,763,637,117,949,915,965,720,595,657,353,017,317,395,969,091,
144,815,622,620,680,660,188,821,427,386,760,656,882,988,946,361,567,414,289,
931,839,381,420,000,716,970,655,721,520,476,333,633,576,650,999,125,074,342,
423,989,835,916,722,155,379,387,094,904,470,884,594,405,032,501,723,295,213,
127,679,110,677,574,896,328,112,811,123,178,602,255,411,137,699,040,458,713,
046,796,898,337,841,915,782,640,249,434,599,622,720,326,851,737,538,539,185,
327,607,975,697,941,788,943,787,749,495,830,591,613,584,849,443,956,830,587,
530,920,005,372,917,963,481,488,868,560,821,881,762,393,136,016,205,660,370,
262,037,231,937,123,556,065,664,520,904,586,110,423,619,846,082,736,034,392,
830,870,851,515,785,579,320,810,583,773,306,901,639,003,449,781,329,299,361,
428,380,875,719,659,710,274,693,150,215,727,281,595,825,220,635,744,044,587,
674,888,483,058,560,117,922,970,117,835,563,696,544,891,032,570,767,245,048,
616,690,590,769,258,885,503,190,464,828,631,538,209,837,199,166,366,656,781,
288,394,211,824,500,425,200,608,675,664,062,595,628,025,256,939,088,810,180,
109,121,155,630,869,988,522,652,540,595,462,343,846,153,690,920,809,157,866,
976,957,986,205,400,756,110,110,670,908,717,427,783,825,496,317,327,428,662,
640,649,903,242,327,647,919,701,948,517,920,760,069,190,722,090,887,770,698,
857,614,018,076,277,153,309,679,594,550,125,198,988,167,064,601,215,230,166,
014,714,885,509,365,774,716,145,911,025,392,554,263,650,671,448,954,218,673,
445,407,341,309,381,715,900,245,274,935,845,331,805,678,080,898,707,334,090,
824,366,442,851,135,083,697,010,592,441,849,224,118,691,120,398,112,464,082,
303,457,235,651,794,772,614,995,408,613,132,934,675,149,664,290,700,663,669,
260,950,081,754,217,179,357,368,027,873,148,293,920,958,040,090,112,237,329,
367,988,482,618,433,435,728,869,402,934,165,953,182,694,636,506,395,052,651,
569,207,582,549,948,945,713,785,009,918,616,189,737,632,044,566,387,947,388,
926,044,278,465,565,313,288,928,813,970,521,127,113,543,705,677,449,712,067,
416,528,094,762,022,417,741,221,696,196,012,466,559,995,906,285,826,426,701,
621,663,344,620,132,571,390,266,923,888,359,048,747,481,602,538,608,182,107,
309,266,683,454,268,018,949,038,853,175,705,276,957,855,355,006,010,269,522,
611,171,996,319,785,056,096,823,641,130,221,215,772,535,496,256,155,963,501,
759,366,675,097,913,213,469,509,366,603,781,035,546,044,678,178,881,798,958,
726,436,977,190,140,533,540,382,142,134,801,267,293,394,682,555,205,717,020,
071,617,468,767,695,873,139,181,391,028,455,601,918,814,638,055,237,383,823,
079,351,195,713,268,918,689,542,621,611,607,059,058,858,078,293,640,711,178,
397,749,275,521,258,749,188,565,986,352,447,032,107,091,901,237,859,244,880,
908,274,473,438,618,814,726,998,268,687,276,563,146,653,597,008,351,094,200,
361,832,427,872,913,377,739,790,849,401,700,860,745,886,483,946,646,613,097,
268,784,406,712,979,868,459,963,686,768,248,497,313,201,381,256,124,609,612,
714,278,480,396,607,874,974,539,827,682,977,633,354,657,190,661,060,867,580,
750,108,091,519,340,480,070,230,130,803,334,685,601,807,556,219,242,397,934,
901,346,352,228,319,218,579,031,810,305,538,396,642,782,027,617,725,683,464,
335,957,594,291,823,853,721,524,200,814,210,171,917,983,758,519,727,093,716,
799,770,812,907,447,900,851,751,168,476,162,109,290,337,583,044,614,078,052,
480,692,450,805,683,135,066,151,610,581,239,186,409,643,664,710,415,574,662,
343,408,482,087,634,151,835,721,594,164,035,803,701,169,726,952,053,385,365,
066,857,408,649,595,242,825,555,965,328,222,573,296,126,154,518,853,108,104,
306,679,211,137,138,279,324,692,332,274,824,939,784,474,140,505,514,382,243,
978,294,401,374,954,129,788,845,977,642,534,091,399,389,028,019,020,427,242,
472,873,146,579,563,234,975,681,346,843,163,449,348,193,215,780,942,242,120,
188,925,211,484,149,123,046,995,796,966,890,674,266,891,711,451,870,412,270,
756,188,666,711,345,282,990,285,966,112,783,020,699,045,149,616,499,195,270,
105,814,439,077,464,422,219,873,496,126,852,741,722,500,462,798,519,839,570,
856,429,882,750,722,696,928,076,970,473,218,030,371,961,327,967,742,339,053,
347,150,766,631,037,049,470,321,615,067,271,240,455,802,332,689,615,684,400,
132,088,238,111,103,799,780,995,964,756,427,710,041,447,186,253,973,233,079,
198,003,584,313,085,579,484,425,954,888,930,135,778,125,580,749,295,102,364,
096,203,337,309,149,823,996,445,753,119,417,240,642,891,493,005,556,634,079,
645,391,825,157,055,197,550,744,954,747,877,379,064,958,150,716,113,204,095,
483,980,209,600,380,237,457,658,894,983,919,656,560,960,353,764,810,406,682,
021,418,719,220,401,970,547,870,008,898,547,527,646,639,135,945,629,334,413,
595,899,564,010,075,524,419,167,069,140,898,553,225,049,078,190,864,274,283,
572,853,434,359,339,704,283,957,508,075,996,223,384,624,967,959,451,771,627,
604,614,158,757,662,262,212,056,625,709,820,327,164,893,836,108,171,288,447,
357,419,190,231,546,868,173,630,927,919,154,352,925,249,659,035,064,510,342,
648,682,526,315,637,461,996,837,123,302,946,278,216,871,552,298,281,634,555,
111,500,330,275,196,109,990,622,506,926,851,649,677,517,626,877,092,318,655,
807,790,776,946,290,731,802,845,626,153,472,506,224,813,100,870,264,450,167,
970,135,890,192,973,380,580,220,116,581,050,631,744,346,221,835,096,995,790,
993,273,713,760,028,500,388,775,595,208,661,142,537,020,119,849,153,435,883,
751,203,291,871,618,919,049,992,274,691,091,633,700,051,900,571,851,121,526,
548,619,744,934,759,294,060,833,920,692,472,526,125,189,699,108,382,942,039,
906,971,494,656,980,298,201,723,383,387,831,782,950,303,192,764,425,483,241,
411,337,197,626,531,284,029,232,614,495,812,011,160,586,924,315,135,716,566,
856,573,845,724,739,876,671,024,854,263,095,222,388,155,876,300,404,038,496,
278,964,791,675,475,580,848,315,446,899,552,035,297,484,119,640,790,460,264,
848,945,096,253,857,270,875,396,198,907,535,977,372,540,320,036,350,301,985,
768,316,924,375,552,800,456,007,156,530,899,298,363,254,182,728,295,790,508,
835,881,490,171,326,648,316,053,897,540,806,777,573,841,642,873,333,197,513,
791,793,838,319,310,927,668,568,245,520,344,103,782,735,461,286,779,913,964,
406,063,792,903,232,878,622,703,737,644,201,402,141,985,234,313,466,041,761,
961,116,487,170,444,173,151,751,008,536,979,086,067,444,353,034,733,762,875,
107,676,643,318,369,448,958,327,489,916,136,010,961,155,569,322,200,471,601,
654,360,091,819,788,948,519,779,518,133,435,182,501,539,044,462,086,164,992,
682,200,762,730,279,846,431,862,310,233,269,637,107,845,042,723,285,539,129,
446,104,023,591,279,584,904,822,565,889,926,444,273,502,265,143,649,067,917,
593,945,549,555,141,748,735,994,798,021,605,588,379,276,344,932,549,883,734,
511,996,215,270,825,472,775,256,716,397,457,394,622,419,909,240,748,868,002,
797,655,895,269,726,287,035,406,867,999,440,072,724,438,791,364,162,475,461,
838,105,467,228,855,762,876,816,199,979,936,935,449,666,794,781,478,006,622,
904,460,905,216,848,684,442,615,622,201,958,993,074,470,707,802,147,787,503,
731,996,623,506,677,540,484,030,964,350,602,959,467,649,634,382,423,260,750,
187,136,476,191,815,294,608,271,510,351,042,633,233,687,597,300,218,864,332,
365,138,043,740,201,345,444,921,959,856,640,527,594,882,483,315,328,711,343,
259,297,254,353,539,951,807,174,819,773,351,645,858,820,591,868,224,653,794,
007,117,809,413,623,327,493,221,418,252,072,203,207,310,405,957,461,400,777,
134,112,369,627,157,333,604,595,070,169,007,697,134,339,949,117,074,392,617,
028,388,688,110,266,424,418,637,615,951,621,898,358,243,632,488,621,573,656,
416,673,859,078,554,486,741,884,944,081,964,965,143,018,494,419,120,289,020,
749,994,832,105,987,058,173,321,024,262,245,330,506,807,276,985,124,644,424,
211,902,462,016,775,250,758,394,680,446,390,544,493,334,585,882,806,160,514,
822,693,092,311,180,211,220,048,753,396,012,445,911,684,104,025,614,319,191,
642,316,947,263,645,542,501,303,156,763,245,078,623,175,603,458,256,651,493,
285,413,458,809,134,643,609,779,584,103,896,446,645,019,480,769,569,120,552,
643,412,419,902,610,617,243,288,998,339,465,709,331,045,993,241,574,574,319,
519,992,203,235,162,497,478,460,447,385,529,570,529,657,850,827,166,363,712,
986,252,039,463,979,075,838,898,278,584,418,819,535,686,584,053,169,602,644,
280,716,178,441,607,849,576,917,100,422,105,400,531,940,529,148,769,788,813,
375,754,361,914,169,376,995,022,773,093,884,909,485,242,435,781,308,327,754,
516,721,203,516,971,427,558,725,072,944,422,511,295,750,186,750,369,395,420,
297,948,320,433,727,426,158,909,224,883,420,020,359,181,755,269,087,374,405,
314,201,862,230,369,609,957,476,661,454,345,141,181,805,235,085,307,127,504,
532,855,196,035,567,830,177,476,670,901,974,852,476,096,206,123,160,009,659,
291,714,616,791,550,903,772,918,033,858,953,946,695,982,045,718,260,014,189,
445,602,636,228,417,905,837,581,698,540,251,798,122,826,770,145,190,686,561,
459,334,890,614,346,696,736,709,294,651,909,534,276,283,771,500,149,783,587,
553,562,567,817,531,009,674,106,098,052,460,667,697,376,171,596,522,825,749,
961,884,085,546,968,558,118,943,631,425,374,989,829,727,291,937,421,246,132,
133,065,705,137,212,859,534,477,280,843,807,233,485,102,492,150,221,440,366,
945,208,837,162,645,622,868,529,448,912,259,392,285,614,213,681,546,846,280,
946,007,834,787,355,878,647,012,174,891,558,210,241,381,247,771,581,639,697,
445,236,715,326,301,236,531,175,969,121,331,775,760,350,465,156,963,254,447,
769,770,375,602,505,327,647,070,543,210,313,897,615,795,404,171,047,182,782,
661,102,894,839,867,034,973,781,209,328,695,003,820,816,081,656,296,698,403,
153,228,832,041,883,090,905,709,649,510,396,961,415,036,950,383,117,035,527,
178,958,823,064,705,923,886,359,540,511,036,498,831,595,097,900,016,472,098,
651,531,959,640,905,428,376,151,277,038,255,903,781,595,134,688,939,087,026,
038,838,577,843,952,067,129,712,225,847,850,167,961,887,374,023,099,599,304,
921,580,663,602,311,254,466,627,476,149,604,983,701,083,210,275,170,131,283,
760,967,214,422,465,757,317,629,178,134,109,802,765,536,230,341,922,812,645,
512,181,038,988,712,787,000,397,045,917,498,921,910,330,532,629,500,251,337,
029,368,741,643,624,213,264,914,916,367,336,417,058,486,361,484,770,733,469,
118,017,777,293,180,476,182,673,955,471,357,590,452,768,719,560,690,040,369,
817,175,503,894,572,405,958,435,561,257,645,709,981,216,853,160,850,378,111,
480,196,557,249,613,007,654,663,135,652,807,007,428,463,146,232,481,112,675,
808,825,024,904,052,343,290,914,378,848,039,276,746,996,202,460,733,498,995,
672,352,196,730,192,060,861,597,484,544,739,221,132,597,912,770,745,986,553,
285,398,276,123,413,654,097,565,772,218,274,954,621,733,973,604,317,011,637,
753,679,005,957,824,965,547,110,731,820,073,860,471,821,164,793,500,719,249,
564,591,678,078,847,102,524,303,184,648,167,173,543,811,420,428,804,541,969,
176,465,624,619,605,413,266,695,436,036,485,580,569,510,662,639,999,664,204,
873,687,399,765,906,049,565,047,154,038,605,324,168,285,338,978,671,883,486,
883,717,414,041,773,436,487,928,186,549,722,178,993,897,340,726,195,113,223,
457,763,584,340,226,248,144,160,782,476,649,707,402,494,487,574,356,412,771,
893,529,414,524,487,451,049,540,427,698,754,492,626,408,552,281,098,110,012,
778,360,319,718,220,977,728,290,613,528,584,058,139,846,266,114,994,552,278,
818,462,212,421,837,953,957,337,985,351,257,055,655,568,626,592,949,730,717,
088,046,035,431,722,159,044,576,210,231,766,715,682,825,320,389,451,461,588,
108,185,386,089,687,393,946,561,472,425,175,013,646,272,577,555,280,400,291,
593,080,617,835,764,063,961,214,316,385,217,348,513,414,281,352,778,983,964,
126,235,961,099,065,336,754,415,822,161,760,419,360,952,028,120,142,687,000,
884,392,661,807,513,359,799,861,144,974,259,343,232,701,479,529,372,478,600,
652,758,076,210,080,142,074,305,410,165,820,008,366,743,513,644,054,268,853,
506,996,674,351,805,100,921,442,760,157,206,671,742,386,188,205,589,742,700,
201,690,925,487,928,211,439,054,125,371,542,256,509,854,291,806,905,711,964,
542,691,536,803,705,122,847,918,437,136,048,409,534,255,029,344,660,768,735,
375,609,200,103,163,503,975,334,493,826,601,879,976,666,716,029,101,958,677,
310,610,158,304,786,467,068,928,290,576,789,683,119,040,501,848,818,760,881,
300,936,858,043,325,840,528,217,559,761,939,004,064,998,750,595,442,862,912,
381,419,276,303,477,209,410,041,642,220,992,039,678,374,399,262,179,044,162,
288,057,651,675,892,596,688,592,901,980,703,654,683,202,544,257,168,596,005,
149,318,628,822,346,669,512,349,880,231,545,829,352,361,611,239,640,416,551,
890,850,123,204,024,313,079,938,880,220,129,291,550,427,353,965,350,313,866,
662,720,258,287,609,161,890,864,815,378,106,089,695,130,940,374,803,669,623,
017,232,580,890,250,014,258,058,684,105,870,551,904,066,552,463,788,969,685,
221,542,861,065,879,576,898,769,662,772,856,023,398,431,011,906,157,321,105,
057,482,884,029,112,425,904,803,131,989,142,865,633,653,623,324,041,332,122,
369,771,854,687,473,708,236,156,409,257,712,940,229,975,232,250,857,137,827,
701,129,445,082,077,448,613,787,759,759,988,930,677,265,282,531,837,028,152,
382,547,234,353,130,728,609,324,441,202,973,540,605,679,055,120,404,195,725,
869,832,034,432,720,092,391,908,045,507,119,681,186,804,310,430,710,996,785,
734,588,579,846,771,331,747,706,873,077,674,403,522,401,578,670,666,686,293,
514,601,059,772,027,831,132,793,813,363,578,799,242,678,764,220,469,086,820,
809,162,639,226,170,924,504,553,953,493,933,514,145,863,221,093,500,932,167,
039,280,110,621,041,780,641,177,035,769,774,438,649,575,943,352,365,222,532,
036,054,493,380,500,111,778,457,264,922,909,284,366,203,552,948,514,202,970,
908,633,155,704,729,519,829,150,505,650,662,785,382,355,101,555,857,008,434,
459,920,103,060,279,371,141,060,220,060,106,961,817,940,253,448,376,829,349,
451,079,938,461,301,737,843,134,050,240,679,216,372,257,003,811,860,957,810,
537,881,837,453,616,900,211,688,824,885,880,714,908,523,558,117,673,445,069,
294,880,441,379,168,116,490,559,813,846,033,997,313,022,976,636,262,965,532,
709,971,276,084,658,533,206,009,672,680,366,563,919,735,864,801,890,738,223,
882,278,592,181,448,033,679,891,480,851,811,188,312,470,828,424,249,648,772,
304,893,178,649,051,363,364,843,887,491,219,516,630,851,302,057,015,393,533,
645,265,779,794,491,594,773,998,305,482,342,436,073,395,108,518,517,995,032,
632,016,556,125,985,387,020,056,016,893,558,377,900,128,055,501,534,658,742,
411,216,617,165,574,551,103,742,652,776,658,695,258,083,235,194,594,298,169,
368,408,867,341,777,777,697,229,140,494,343,780,294,534,213,278,706,503,452,
297,742,007,216,917,465,929,368,612,047,783,458,163,827,757,572,115,783,405,
471,708,700,016,214,325,564,806,636,990,027,335,465,360,213,219,807,490,470,
661,993,803,458,316,893,388,972,612,991,970,053,956,613,262,757,763,670,098,
897,401,827,675,922,838,996,220,317,567,417,458,457,180,950,424,767,507,331,
949,190,475,232,378,999,469,211,645,625,144,268,636,130,215,839,623,926,136,
350,564,670,529,574,435,365,025,580,832,425,204,419,220,856,887,958,112,387,
380,331,623,665,269,427,431,665,199,987,141,169,786,487,978,417,054,902,733,
373,634,666,402,062,406,178,470,317,119,779,938,387,103,698,528,123,506,109,
500,405,742,898,456,212,494,492,934,406,642,818,619,867,194,710,754,089,042,
316,401,093,565,255,107,901,789,734,011,401,002,628,982,698,058,997,727,035,
587,127,519,199,768,064,670,750,871,610,762,310,589,340,695,766,674,101,031,
893,696,840,114,225,576,100,916,443,802,642,146,976,866,086,209,738,040,498,
396,895,243,383,288,858,981,716,622,010,826,642,683,387,637,979,953,349,185,
661,278,155,984,562,444,996,049,018,869,384,636,571,038,269,521,234,319,077,
005,814,992,023,116,126,994,185,718,728,680,897,056,401,427,832,188,823,669,
587,466,952,943,608,210,082,488,105,038,416,977,943,102,526,261,826,979,974,
061,082,649,481,664,733,171,799,780,791,243,834,363,034,246,759,966,516,194,
409,296,201,003,347,312,038,427,362,966,513,333,486,391,198,149,433,406,203,
740,682,041,008,423,510,515,119,266,717,960,183,337,273,400,948,528,922,517,
811,862,242,547,297,193,937,542,984,573,255,683,158,745,624,087,995,413,306,
102,690,552,787,199,279,335,384,136,579,678,844,150,222,747,869,535,859,533,
470,861,552,601,832,968,606,424,116,068,175,556,398,315,628,385,555,899,674,
863,292,882,879,026,101,827,860,160,403,220,783,949,046,329,612,319,335,446,
722,069,406,213,257,349,407,222,809,038,649,960,721,797,632,278,796,871,317,
739,756,557,393,382,775,369,477,857,537,279,064,478,195,017,875,015,135,237,
493,353,887,408,420,557,562,072,848,606,393,271,038,254,486,151,424,283,804,
055,397,916,617,064,135,291,790,105,572,518,026,370,046,112,597,035,675,676,
097,013,175,673,794,562,805,670,731,200,495,625,364,565,802,022,609,652,241,
699,340,185,380,793,816,543,150,243,728,160,076,271,022,210,217,918,021,211,
614,293,771,044,833,181,322,213,672,042,209,552,692,813,496,481,756,527,057,
321,222,282,126,632,272,667,151,576,272,938,524,746,991,466,960,506,352,045,
643,255,088,925,549,043,349,138,181,533,455,711,617,951,483,400,399,718,717,
898,999,025,771,484,040,525,349,594,134,309,134,442,968,508,016,626,581,675,
140,513,317,356,277,721,167,120,603,701,484,660,637,444,846,621,838,022,455,
249,130,191,278,985,237,943,398,741,084,153,205,887,778,697,598,820,062,017,
917,367,053,879,770,800,664,416,105,665,863,074,604,891,585,369,786,627,281,
970,947,511,831,615,548,315,410,527,141,927,334,660,684,372,951,154,391,343,
176,060,035,523,250,992,638,624,510,570,793,631,110,137,804,565,013,360,184,
811,324,484,513,369,249,755,677,951,713,998,379,909,249,877,270,162,604,217,
865,328,426,711,427,020,521,197,865,756,559,742,111,726,246,107,896,909,892,
808,289,703,538,529,803,581,341,195,735,881,838,217,567,362,322,132,274,260,
118,631,246,423,761,454,423,661,275,270,651,249,504,170,486,684,254,339,733,
134,868,849,342,378,359,900,106,130,470,008,643,037,880,746,214,263,168,535,
142,277,077,954,347,504,049,182,638,808,214,123,482,745,382,070,648,112,573,
668,779,578,268,722,413,069,129,539,932,395,832,071,736,551,781,809,723,936,
555,520,585,444,908,991,247,908,131,741,837,101,248,698,947,030,878,427,023,
496,958,386,503,460,583,904,330,273,990,586,559,393,494,977,900,813,750,680,
476,440,638,955,933,799,580,624,894,096,189,277,160,258,830,263,924,010,406,
266,789,757,852,773,165,834,184,548,159,779,179,116,717,375,968,903,442,687,
834,088,814,222,343,228,448,570,717,663,998,752,043,551,237,317,742,115,877,
752,144,820,229,964,962,865,603,213,764,579,371,688,287,146,300,595,122,610,
486,694,063,653,315,755,164,145,532,671,184,454,046,905,764,286,178,405,557,
625,855,125,289,829,586,965,185,358,559,265,283,526,798,436,555,599,700,594,
049,204,261,262,847,470,664,695,504,808,431,865,308,979,438,563,522,433,202,
200,625,797,178,411,703,647,697,687,853,593,737,973,335,152,207,575,793,699,
963,113,385,468,300,420,971,898,916,330,934,475,178,387,107,451,497,109,375,
964,535,598,345,844,442,730,499,572,361,160,613,340,493,389,571,637,129,019,
826,825,853,156,471,079,076,034,008,334,923,734,887,766,817,336,640,858,793,
108,629,133,754,179,051,938,140,765,968,929,159,637,523,782,604,569,526,049,
931,997,345,632,493,490,299,473,404,179,033,441,433,671,685,477,067,498,563,
709,240,408,884,617,393,741,403,233,950,106,130,164,281,980,805,480,096,907,
168,853,220,461,736,798,663,772,402,031,192,407,196,185,348,085,560,229,913,
238,527,498,933,175,341,597,622,775,304,452,973,777,950,327,816,860,516,778,
645,617,701,281,404,438,379,681,952,928,789,278,693,642,450,531,242,940,454,
681,232,525,865,906,756,744,953,933,460,713,419,345,220,497,241,353,810,071,
721,517,635,766,122,655,898,356,556,493,688,434,025,316,541,846,146,345,684,
256,984,667,045,829,178,005,908,714,221,446,670,696,319,597,634,635,778,597,
733,552,644,378,483,440,404,153,554,085,932,049,619,245,263,203,232,922,273,
344,627,913,127,187,037,533,050,763,781,025,173,177,558,093,617,456,521,077,
381,557,480,761,159,500,996,552,230,874,512,660,876,507,321,777,901,409,880,
135,158,254,447,475,786,583,640,364,150,809,129,691,142,499,570,077,826,932,
011,904,361,584,709,071,642,988,369,744,370,662,536,325,601,829,606,518,110,
540,442,057,265,597,242,251,581,823,176,130,009,840,629,884,549,882,607,501,
752,627,222,226,578,072,016,318,463,360,358,088,720,030,477,249,861,256,817,
199,874,705,644,268,430,795,695,852,279,226,910,124,158,455,853,766,396,869,
858,029,131,224,677,683,416,695,130,385,891,324,942,645,278,936,925,699,770,
591,167,699,091,857,840,756,796,689,224,691,358,537,780,397,978,602,550,085,
822,820,612,058,018,753,879,171,064,809,142,642,714,454,165,228,896,614,018,
369,479,497,034,867,201,926,447,317,603,933,330,259,184,050,122,906,031,316,
815,278,851,699,648,503,189,134,671,033,906,350,757,062,392,682,417,618,004,
578,761,536,664,242,533,857,018,606,482,666,574,800,804,759,400,952,850,182,
598,794,005,014,409,243,725,971,605,075,092,327,922,075,048,102,763,499,801,
542,203,806,343,342,218,756,610,149,491,768,304,389,605,701,865,247,705,110,
284,208,665,599,985,594,574,813,814,100,328,300,473,796,158,806,242,558,941,
190,908,895,327,660,153,560,677,021,440,692,701,937,250,885,417,913,155,793,
343,486,251,196,293,182,768,737,430,483,975,655,129,495,768,759,645,250,095,
585,571,509,486,811,630,601,863,898,338,232,795,401,332,989,151,474,309,792,
168,935,480,662,224,975,274,500,827,904,701,973,055,009,106,652,767,880,880,
449,422,265,354,193,831,537,532,270,673,255,269,727,342,887,158,655,618,182,
157,122,216,856,300,419,539,187,531,514,109,186,325,953,167,766,068,282,134,
442,415,140,400,623,242,202,982,371,636,215,288,838,636,381,553,456,047,539,
043,801,894,662,704,271,886,125,842,477,838,673,359,055,020,242,229,484,719,
118,907,770,871,163,789,718,228,044,081,385,410,680,749,625,582,446,715,812,
964,009,250,408,336,769,971,528,471,559,591,459,811,543,932,049,731,589,913,
265,395,466,688,608,871,305,395,155,071,229,689,880,214,397,373,965,418,876,
801,476,447,028,477,589,971,570,506,211,525,123,660,467,250,160,101,602,593,
962,379,596,151,417,071,725,398,997,140,726,855,993,570,817,578,577,423,540,
936,177,011,065,306,877,520,520,420,485,139,888,260,727,172,957,340,770,567,
428,376,336,509,479,196,470,852,929,210,911,797,621,636,470,494,605,419,358,
327,155,694,670,411,815,376,025,637,790,218,168,264,366,550,380,019,993,637,
565,182,394,056,662,778,977,223,654,459,914,731,847,166,144,312,324,668,458,
994,054,412,583,485,091,290,709,282,462,387,586,360,244,165,417,716,079,896,
588,597,225,852,124,351,939,964,379,666,490,536,631,147,611,043,220,854,602,
806,613,235,900,118,147,811,547,145,842,037,191,794,626,427,260,210,310,466,
961,540,595,463,193,345,477,591,748,348,104,051,390,268,953,691,346,633,092,
409,667,033,007,224,252,372,306,151,009,723,517,292,439,098,587,317,743,790,
237,450,105,433,038,722,411,917,106,328,932,503,631,368,374,333,531,511,943,
768,959,184,676,697,090,096,270,795,346,879,923,818,388,258,565,534,639,504,
067,016,262,491,809,309,100,237,711,005,749,711,000,929,048,522,256,286,640,
962,783,225,811,700,417,969,667,315,338,322,764,743,275,516,641,932,965,733,
323,894,664,294,505,168,557,299,670,740,912,415,967,626,067,592,678,633,072,
961,272,855,369,707,348,046,069,361,292,643,555,429,730,150,911,477,975,066,
462,332,526,414,218,421,566,004,818,298,864,165,558,499,075,465,619,481,162,
678,547,634,565,674,790,546,570,362,795,173,396,465,724,767,005,153,677,741,
852,345,808,735,216,438,005,414,447,364,952,983,313,451,443,141,636,288,400,
133,930,082,923,137,932,267,152,694,486,956,577,054,290,651,686,700,661,558,
036,034,770,166,176,896,057,246,764,237,088,230,607,610,705,037,320,692,291,
913,975,280,681,707,236,035,245,518,189,558,033,663,273,192,114,554,985,380,
509,978,171,676,904,638,025,905,440,328,396,639,374,788,259,689,381,918,461,
211,470,611,988,877,666,088,966,068,767,882,462,236,773,784,795,747,530,674,
548,314,159,708,943,401,313,579,364,422,865,820,065,224,010,692,111,481,121,
284,954,913,057,762,023,351,427,175,976,853,969,348,123,050,476,499,054,778,
318,360,137,624,373,746,990,850,899,485,765,829,444,174,565,168,060,920,165,
802,789,717,305,640,433,319,057,265,200,091,366,651,495,252,734,143,435,965,
511,131,483,926,316,823,255,688,869,068,454,743,306,658,795,729,120,304,877,
787,895,434,412,775,766,145,771,695,079,519,845,082,018,909,838,852,798,293,
239,266,237,829,195,823,699,284,479,635,589,075,977,693,487,198,297,585,466,
084,555,619,882,724,578,447,738,136,505,738,976,686,880,802,377,053,192,651,
071,282,100,230,097,787,808,007,953,819,449,443,327,751,594,178,943,893,398,
696,887,825,024,950,808,648,547,799,027,064,519,328,901,365,506,957,128,923,
958,769,463,008,788,818,045,595,803,846,232,177,220,122,103,656,510,930,993,
346,927,806,979,409,264,757,887,358,153,425,177,506,025,200,475,089,110,132,
469,083,156,524,758,142,540,673,725,747,603,678,790,096,451,076,885,967,130,
656,610,202,514,404,913,704,395,011,523,225,260,712,288,367,475,186,036,414,
388,991,881,471,528,566,161,587,433,210,792,755,676,795,040,639,134,504,446,
859,900,215,896,999,777,466,000,329,317,039,954,541,067,220,566,795,281,909,
216,507,061,402,834,842,506,372,142,663,809,962,422,445,007,175,881,201,266,
450,605,090,080,819,225,886,473,270,443,077,552,994,615,911,185,764,017,889,
219,793,889,286,361,135,310,392,503,132,377,898,199,396,484,375,819,593,503,
115,172,289,331,597,253,651,497,835,943,272,106,662,999,081,294,081,543,082,
644,200,719,472,962,391,014,184,497,285,766,315,314,852,586,653,807,695,436,
072,056,370,418,540,800,032,507,273,046,200,498,716,375,264,564,977,487,231,
874,296,079,030,873,164,301,934,872,957,317,590,115,222,782,139,229,683,758,
344,300,736,140,360,438,367,295,365,141,249,255,530,217,413,692,459,621,298,
167,327,778,187,685,355,140,309,817,804,954,638,161,321,336,719,904,308,727,
174,682,393,555,797,010,401,183,266,427,212,902,883,464,009,068,734,286,286,
423,032,980,682,096,524,902,531,716,793,006,891,135,635,650,875,353,831,356,
816,082,161,197,262,543,942,721,289,169,221,091,450,513,970,296,571,572,789,
362,536,853,721,727,863,433,308,362,723,066,018,775,970,437,601,461,277,518,
553,481,404,913,570,679,911,761,286,717,758,798,881,900,202,669,638,974,308,
163,075,566,401,476,688,050,319,628,124,148,278,524,922,209,376,979,303,130,
535,760,898,489,522,465,573,054,342,177,082,440,629,024,151,611,776,003,298,
692,551,096,314,767,751,027,092,797,087,075,369,281,890,543,584,147,540,849,
019,709,935,998,048,485,511,198,538,233,432,193,976,192,846,388,002,829,366,
496,895,907,563,073,264,020,999,179,591,492,214,677,243,979,745,082,130,086,
942,054,081,458,280,980,422,600,325,668,736,640,017,229,051,844,658,295,510,
218,181,731,226,081,116,217,079,637,435,473,263,338,340,712,443,525,964,495,
428,867,203,313,695,772,940,815,952,187,879,707,346,731,948,821,062,210,170,
951,915,817,736,445,444,273,305,862,243,745,746,778,909,047,710,560,267,546,
172,740,271,252,742,783,468,652,669,044,387,818,653,971,086,969,128,876,720,
403,543,722,207,988,955,003,792,385,234,809,591,187,589,690,985,169,955,234,
473,807,131,080,618,668,505,881,329,402,879,967,026,439,341,940,881,492,347,
181,129,505,438,376,119,663,010,448,730,569,091,672,775,087,187,854,898,890,
375,119,445,086,820,705,010,774,857,444,236,473,513,923,471,593,787,319,689,
287,859,581,742,461,214,970,704,024,399,637,780,471,113,843,051,004,759,173,
700,622,275,136,920,637,192,414,785,271,835,094,753,878,608,204,218,629,074,
359,132,806,222,902,899,262,174,241,810,262,121,431,780,860,043,438,840,158,
602,431,343,116,054,925,154,343,870,349,938,218,192,313,889,207,192,495,740,
153,914,197,694,514,024,522,463,807,086,653,726,096,980,075,127,080,243,565,
776,815,580,199,232,376,680,205,572,624,872,903,141,224,999,987,681,580,151,
237,987,213,972,439,832,995,084,213,997,777,132,085,946,489,446,319,600,320,
566,238,274,647,211,658,380,168,249,077,227,863,181,543,601,452,227,536,706,
452,118,925,288,559,605,185,886,147,727,540,980,973,336,466,702,364,492,298,
893,499,911,052,626,884,009,295,681,151,480,618,220,739,349,003,284,938,758,
115,415,929,314,348,434,835,743,514,121,758,293,360,262,959,794,008,340,304,
395,045,781,622,742,044,861,602,207,101,255,300,291,097,123,921,389,998,111,
039,154,636,611,114,922,490,338,887,163,574,637,056,928,543,791,447,330,251,
230,659,534,487,118,943,473,446,739,941,900,241,671,459,518,486,038,393,935,
819,084,678,884,593,377,103,610,963,119,398,916,587,480,739,292,624,627,866,
634,927,427,778,227,512,817,358,850,539,291,880,818,542,754,968,290,046,138,
611,203,041,001,226,084,342,156,614,696,192,138,637,349,063,573,584,996,688,
054,327,722,207,849,889,420,002,871,443,819,134,212,224,589,810,640,127,500,
977,462,439,991,949,595,281,929,016,806,314,697,350,471,665,102,552,168,808,
692,612,631,922,097,081,476,666,994,087,958,457,561,395,535,159,997,917,610,
305,419,805,279,902,479,844,365,817,750,246,516,419,492,764,648,366,667,425,
788,200,582,163,700,267,416,354,857,447,043,551,547,131,303,627,739,249,947,
001,395,067,203,458,615,182,901,372,644,879,585,304,312,372,682,305,268,306,
895,099,592,565,961,840,756,115,524,173,100,949,601,879,848,457,932,263,398,
274,168,559,548,848,276,235,301,050,509,640,789,488,937,238,400,511,260,257,
043,504,188,001,384,290,216,914,917,833,635,827,006,182,903,498,308,831,346,
767,261,126,601,387,629,656,074,140,323,031,519,231,544,141,845,391,335,685,
919,877,173,302,256,505,672,922,692,405,684,346,343,252,838,617,927,917,162,
099,187,237,649,806,091,793,240,298,291,330,064,501,289,766,023,232,258,667,
173,099,129,125,637,245,848,884,924,244,811,173,587,873,637,744,426,491,336,
084,888,485,041,301,562,618,384,037,800,756,252,006,039,879,839,264,476,441,
432,742,915,557,387,990,129,388,281,017,013,569,372,734,656,550,843,918,663,
823,577,887,631,924,279,169,767,035,693,347,155,618,595,152,497,629,870,269,
550,175,813,142,076,287,593,140,479,104,015,744,228,395,915,950,749,553,374,
068,881,144,662,743,115,416,462,429,379,449,158,492,475,153,766,563,702,080,
187,950,405,309,960,602,965,890,820,183,083,340,564,811,897,832,187,349,098,
216,817,914,106,588,638,392,066,844,172,639,900,930,683,936,024,470,850,728,
112,974,989,493,589,738,014,078,412,474,147,045,324,934,862,851,590,793,608,
447,776,303,920,316,622,332,752,909,679,490,138,943,979,867,261,032,929,262,
467,016,649,332,732,348,570,520,606,881,053,221,185,249,945,237,848,474,944,
378,419,710,496,916,932,066,402,665,911,241,213,926,514,394,182,938,249,985,
989,136,463,598,203,712,959,647,248,283,121,976,528,820,714,042,490,741,297,
980,242,705,523,360,248,641,191,634,139,681,486,757,060,080,774,897,410,314,
793,659,537,567,201,276,069,494,959,955,486,288,872,746,157,062,617,471,615,
224,514,664,783,922,602,039,141,328,525,227,155,562,958,818,228,016,175,679,
710,322,041,520,804,538,057,882,662,864,951,100,129,381,596,669,299,005,478,
742,648,351,123,022,088,259,950,614,934,121,153,366,208,266,853,611,003,489,
858,249,766,268,105,983,923,112,703,609,602,047,242,082,769,559,391,556,554,
748,167,417,366,076,952,563,918,252,840,740,655,247,119,402,298,780,257,646,
033,100,499,357,210,134,952,045,499,827,846,717,660,366,898,890,623,829,482,
284,285,763,161,130,559,572,771,296,257,565,849,250,137,427,984,666,978,870,
952,116,810,770,522,234,155,490,627,311,748,081,614,251,285,768,009,327,872,
935,080,792,298,656,286,824,603,166,687,733,164,942,941,016,700,247,389,316,
443,430,394,309,102,649,389,365,819,604,047,260,742,840,062,804,109,688,669,
074,733,560,827,668,092,613,032,706,503,238,576,574,276,932,648,488,080,119,
666,865,504,218,347,198,428,635,451,295,420,305,113,865,617,703,439,885,209,
445,050,238,062,086,326,720,330,486,607,102,216,130,950,650,037,166,973,276,
258,748,434,741,167,875,602,788,043,079,854,573,414,980,145,052,124,418,701,
580,661,208,094,930,501,040,883,393,871,516,878,218,240,591,210,127,988,873,
097,547,180,957,119,293,688,143,246,853,115,468,394,637,503,094,108,428,355,
638,005,811,199,701,061,071,040,282,107,994,765,124,332,785,155,561,126,310,
796,474,169,085,507,607,615,152,501,725,724,803,287,902,011,466,692,596,756,
972,756,725,783,816,122,948,818,355,487,847,536,589,749,544,733,427,308,788,
639,007,089,196,234,509,134,570,332,141,393,444,030,998,678,862,610,545,250,
330,526,573,992,403,998,911,514,537,160,768,932,898,606,312,427,440,001,346,
397,136,187,537,081,831,383,488,742,403,371,353,943,898,225,448,570,899,684,
787,537,550,979,395,508,377,658,089,681,314,519,329,803,774,469,008,208,114,
387,944,134,139,403,282,220,691,290,071,217,923,702,500,762,631,238,027,585,
485,277,790,319,534,099,795,325,196,837,261,369,996,714,236,634,003,372,868,
031,828,653,554,611,704,670,473,196,886,250,355,582,420,443,884,013,047,916,
016,805,584,454,443,382,794,083,961,668,580,731,758,386,382,550,912,813,520,
898,279,666,703,165,204,373,124,648,248,987,853,499,303,899,351,615,317,527,
837,962,912,959,097,444,987,014,625,450,672,407,772,457,635,346,077,991,369,
678,089,404,884,893,788,809,664,432,977,539,436,734,777,987,049,719,185,104,
224,922,952,318,415,109,605,093,871,981,688,024,892,003,478,822,701,366,666,
718,323,672,066,421,559,456,331,008,868,632,452,185,624,863,716,466,037,724,
751,428,291,715,291,249,983,077,538,546,759,800,847,062,894,142,738,068,675,
480,734,781,187,926,362,768,689,845,742,219,811,963,743,790,906,295,782,059,
194,470,573,025,764,147,461,952,376,401,252,986,270,300,263,528,737,842,472,
257,098,689,870,383,736,003,238,684,605,485,528,230,530,247,264,998,029,964,
886,554,819,451,386,777,933,440,012,634,633,676,060,792,712,637,870,270,483,
073,512,938,075,929,937,235,683,336,190,337,886,929,313,579,352,264,774,529,
938,198,391,441,718,649,542,651,842,216,731,415,729,762,701,453,644,208,132,
147,571,986,235,429,804,530,800,875,911,824,136,304,846,645,245,474,739,829,
614,935,923,991,753,812,875,365,970,542,364,097,728,891,940,291,960,786,147,
987,041,102,709,851,604,536,499,018,328,656,011,272,356,640,695,573,944,370,
653,462,630,808,432,514,431,112,686,963,998,598,887,809,215,271,886,297,782,
483,261,118,995,924,652,598,045,953,103,146,650,209,944,814,672,108,406,760,
569,308,743,396,713,095,502,669,763,205,840,671,487,967,515,204,278,127,950,
543,160,701,999,094,890,373,208,547,529,243,763,818,046,069,769,646,585,748,
839,265,921,123,815,752,737,779,624,956,941,335,345,672,712,518,547,844,459,
396,550,030,365,204,527,134,813,335,372,911,374,539,752,027,772,997,993,578,
639,505,673,689,188,262,358,643,288,114,939,888,653,600,445,678,616,694,037,
416,123,794,450,928,681,998,119,707,691,258,400,776,037,362,844,152,045,508,
555,629,614,677,793,476,046,410,765,626,786,076,477,135,516,551,447,447,465,
053,931,997,672,320,008,021,109,732,752,137,167,650,960,819,723,811,794,690,
030,739,768,246,537,373,686,584,070,653,459,177,153,048,562,456,699,406,565,
828,164,945,973,993,348,197,755,580,516,158,398,015,647,645,002,006,695,659,
149,474,511,183,081,306,344,994,991,091,329,006,316,061,596,869,984,319,899,
811,985,162,770,136,042,459,636,367,879,677,852,629,937,428,218,398,460,356,
712,823,857,287,172,686,207,132,827,570,728,763,023,584,231,522,344,428,843,
051,143,817,103,219,086,754,557,918,410,666,918,336,400,591,099,002,136,232,
866,253,985,041,621,816,391,784,154,878,566,309,863,310,754,206,299,149,524,
247,127,336,068,369,559,540,173,075,857,498,090,132,979,776,494,393,108,706,
119,605,416,790,843,949,754,599,953,951,146,903,574,242,905,373,185,635,087,
635,003,516,764,294,296,678,587,255,530,407,848,830,940,038,972,571,591,045,
974,414,532,923,788,048,035,370,589,707,545,351,900,377,982,567,851,994,489,
516,019,769,180,328,130,840,624,850,627,115,901,101,127,068,209,077,757,354,
011,821,530,513,027,634,274,930,985,862,989,964,127,766,914,884,751,690,744,
314,643,307,215,436,607,195,602,143,927,096,216,486,896,165,498,759,386,250,
167,375,077,784,948,311,799,469,192,391,443,527,545,060,699,907,213,381,410,
772,154,833,197,946,462,377,267,541,362,444,190,875,203,681,908,965,169,910,
677,848,634,468,419,702,146,359,547,468,157,495,530,284,401,739,184,159,108,
125,953,379,980,747,842,325,506,643,985,767,080,804,933,834,685,022,127,921,
199,226,102,475,767,251,573,554,576,388,302,767,143,983,121,363,393,808,205,
528,918,761,267,024,253,070,720,313,331,144,802,725,813,836,772,467,471,492,
067,660,097,186,258,193,801,559,871,597,728,706,743,194,964,122,156,646,940,
115,463,656,235,361,875,065,106,075,431,268,732,119,519,214,982,959,846,810,
554,712,943,660,816,994,216,737,453,968,390,059,844,415,714,119,910,143,173,
250,174,638,507,476,649,171,805,180,031,933,692,460,986,204,865,962,571,860,
843,042,020,727,646,614,861,334,012,136,008,410,095,284,745,097,500,623,059,
480,584,618,732,545,630,999,665,976,970,924,105,244,804,596,497,387,672,958,
039,828,887,407,905,613,759,597,420,687,496,884,566,869,180,234,389,530,415,
860,478,271,146,454,434,630,849,530,033,381,825,931,705,240,920,315,311,063,
114,800,810,142,135,970,242,892,162,716,302,960,708,312,794,923,048,252,465,
875,232,463,837,216,461,275,042,411,278,764,701,241,660,813,727,521,933,225,
031,968,826,217,983,742,797,860,309,819,098,955,399,387,979,725,129,739,953,
185,784,511,191,550,538,118,567,066,980,915,269,475,664,211,135,297,036,352,
351,293,778,730,391,084,197,995,156,713,870,079,585,487,208,012,802,538,375,
455,103,521,460,976,890,568,722,931,821,690,355,567,516,789,451,918,864,553,
421,517,029,685,162,915,559,928,871,017,460,088,983,560,938,488,084,365,430,
901,616,607,106,170,242,231,376,696,753,614,877,208,479,614,466,471,782,050,
989,310,955,792,306,731,980,727,006,484,943,304,131,759,985,867,206,623,643,
360,476,953,533,536,053,805,465,974,130,505,136,656,608,559,290,913,421,912,
682,932,048,152,789,158,301,838,293,988,095,372,194,770,250,359,755,368,776,
201,948,994,754,480,324,505,080,666,028,461,084,554,380,746,084,546,841,100,
279,352,850,342,055,830,453,901,881,841,980,113,945,607,707,530,574,114,718,
383,418,214,489,439,986,156,584,146,492,056,508,146,030,873,847,287,688,075,
053,341,412,596,729,409,235,551,229,219,943,604,909,490,918,815,358,276,359,
793,456,925,938,512,180,966,040,547,907,624,231,002,978,029,801,122,748,738,
605,169,943,909,426,345,594,738,281,071,269,498,170,469,192,403,390,144,282,
893,910,678,376,302,183,838,775,522,673,504,800,095,877,505,616,237,326,559,
834,972,820,000,324,383,751,665,741,656,797,818,739,426,317,810,583,329,225,
872,684,028,664,543,830,939,252,428,083,943,132,005,770,973,460,389,389,159,
955,407,868,990,179,875,664,008,609,913,922,732,598,136,148,832,596,635,609,
976,499,178,612,398,048,000,822,018,195,976,478,200,756,300,541,002,331,719,
880,886,760,616,312,066,911,727,753,459,889,258,075,766,797,168,679,449,234,
468,987,522,110,229,571,516,248,879,099,279,995,850,289,137,417,658,941,445,
669,852,863,399,542,770,068,575,761,985,985,337,858,207,738,069,742,862,802,
031,802,415,676,301,364,141,533,076,156,100,860,470,939,856,391,627,808,201,
143,402,172,434,648,500,494,047,444,935,826,620,862,706,229,272,823,255,649,
413,941,463,787,801,568,177,335,490,412,411,008,498,649,995,959,320,132,608,
095,113,150,372,393,836,237,140,948,245,558,444,161,752,033,865,436,506,473,
399,195,517,295,020,756,437,504,861,855,082,020,421,354,267,701,094,166,315,
584,510,916,138,047,442,222,228,055,342,620,921,879,150,550,852,803,065,959,
842,259,981,842,599,209,482,928,770,515,114,001,341,677,582,997,310,603,261,
018,914,660,298,815,003,373,209,102,060,953,341,979,029,326,773,628,436,548,
140,090,979,193,756,046,359,511,614,609,105,708,859,506,528,773,331,744,962,
343,356,087,435,933,306,903,859,842,077,633,036,377,475,736,736,736,602,405,
035,031,744,332,037,680,470,746,920,726,478,120,357,400,048,186,597,504,412,
892,307,154,274,802,750,959,717,755,987,291,891,951,593,551,422,288,872,618,
192,422,572,947,156,625,453,426,457,777,279,522,043,616,886,469,388,417,274,
179,402,524,536,889,817,088,700,403,461,792,573,407,045,731,580,323,803,789,
016,368,481,074,144,279,726,598,006,305,027,528,014,512,794,101,418,470,190,
977,880,136,710,349,186,636,411,362,262,784,809,960,092,214,716,131,188,948,
201,551,396,254,097,731,234,032,686,431,914,096,442,057,058,140,815,022,930,
528,950,702,324,370,787,779,463,343,522,287,806,127,387,004,440,783,148,734,
612,821,036,074,679,934,644,403,512,132,305,972,492,330,630,718,852,115,398,
708,359,992,811,457,614,915,197,452,758,701,540,442,168,934,914,884,709,908,
558,818,482,002,841,885,873,265,188,255,437,872,955,777,768,912,746,231,328,
805,093,410,137,732,664,396,302,028,676,751,710,540,029,753,476,224,701,467,
816,003,539,978,327,379,755,762,398,686,250,973,887,571,395,706,944,742,682,
923,151,478,993,739,452,015,323,629,294,476,437,636,443,399,281,470,285,511,
572,363,286,129,909,607,192,205,955,414,778,054,831,996,335,346,736,886,904,
786,469,344,572,140,530,973,137,385,666,549,435,575,169,385,258,991,401,203,
485,194,975,508,574,673,545,262,467,931,597,501,783,318,981,504,365,901,765,
936,880,070,465,112,117,183,703,416,814,102,781,076,328,234,207,679,845,783,
171,221,397,500,991,358,429,858,198,692,766,343,928,506,840,600,255,455,814,
783,865,380,295,097,867,322,927,669,023,008,443,254,866,937,536,453,085,201,
286,694,548,709,836,093,937,554,874,872,717,479,523,373,814,472,231,010,594,
550,685,693,342,205,572,461,727,116,381,645,852,979,975,748,041,280,636,686,
486,685,836,626,793,900,853,446,343,170,547,493,676,520,439,538,377,600,475,
590,664,640,958,793,347,703,811,556,355,132,002,749,842,534,949,639,447,082,
925,509,825,879,026,599,855,959,086,517,568,882,148,011,586,489,530,250,209,
309,998,376,996,670,790,009,314,138,577,608,887,961,791,491,327,240,372,698,
132,347,463,888,789,441,932,422,451,980,236,700,357,335,056,933,315,681,069,
808,948,043,663,913,984,403,635,094,835,295,427,878,337,719,189,842,615,804,
076,139,529,035,750,501,575,423,448,872,395,964,634,841,149,148,337,349,748,
927,148,778,939,517,466,205,805,356,993,799,800,815,720,298,012,930,174,684,
794,294,333,560,637,658,977,454,917,427,235,723,962,143,986,469,515,986,081,
144,726,543,616,430,298,363,914,818,592,188,846,413,452,869,169,884,215,780,
119,209,848,290,787,318,327,402,872,342,536,698,447,428,059,213,679,430,425,
440,513,627,052,056,874,276,177,889,037,327,034,719,866,253,651,862,167,716,
853,164,495,288,279,708,177,388,648,126,164,696,213,804,450,425,355,830,720,
856,465,611,623,070,911,787,221,195,063,170,654,287,899,295,729,187,842,574,
603,270,768,357,038,134,734,162,784,360,980,022,482,284,783,200,197,216,781,
407,444,773,030,250,847,562,046,177,337,322,849,942,247,545,373,834,514,857,
862,759,612,848,704,744,242,395,592,237,386,104,425,879,962,069,455,248,420,
116,507,392,169,860,064,405,771,773,207,316,880,330,222,212,796,636,214,132,
381,705,633,982,172,242,805,396,513,867,349,987,249,790,382,977,206,339,077,
125,209,210,913,611,022,227,180,069,608,532,867,797,308,758,086,890,777,682,
623,549,758,091,050,131,725,647,291,239,531,234,181,390,811,378,012,595,272,
099,991,410,780,975,645,805,326,603,512,775,899,612,415,683,191,213,414,304,
508,518,514,418,318,550,124,004,185,496,401,270,924,077,589,117,897,790,091,
438,481,208,679,479,795,851,533,827,597,673,813,649,731,776,897,442,209,326,
215,361,020,560,989,939,577,435,473,061,285,985,764,916,932,414,059,227,998,
687,257,602,965,712,817,117,616,968,743,227,778,846,308,779,181,685,085,454,
410,220,186,508,609,597,365,424,992,207,928,643,463,365,987,648,311,884,068,
686,389,831,154,950,342,595,472,418,578,907,750,755,378,534,179,317,415,189,
398,622,166,918,555,766,141,648,225,799,822,386,291,182,171,125,680,070,291,
679,628,216,143,874,319,467,034,732,210,156,616,866,782,837,814,025,000,357,
602,834,102,419,051,482,731,060,162,293,790,662,677,010,892,609,764,494,525,
499,676,698,109,985,773,540,215,139,487,017,016,192,241,591,116,941,803,852,
626,004,256,474,734,207,806,786,949,969,387,760,479,133,358,949,337,869,128,
479,263,493,167,606,035,451,444,885,945,078,658,589,477,839,627,673,544,287,
242,651,457,294,710,317,044,812,648,101,315,136,755,441,946,574,842,460,917,
412,533,282,989,386,302,967,639,989,829,494,473,678,714,306,308,751,532,493,
336,434,921,750,133,554,729,808,945,921,561,108,860,748,495,300,216,407,389,
046,247,939,917,611,465,801,607,338,144,580,913,606,055,936,312,186,100,011,
924,247,393,477,558,675,139,703,349,575,025,690,120,452,408,421,399,008,945,
595,143,490,043,933,962,617,472,626,572,550,436,727,350,794,701,715,745,297,
405,276,979,618,480,628,269,033,495,127,243,849,866,500,699,400,778,027,790,
166,313,273,573,744,654,214,968,399,614,084,497,362,474,395,442,914,716,256,
080,645,645,862,884,032,970,586,748,949,955,035,221,318,052,446,813,206,491,
139,772,902,205,064,772,481,841,997,014,083,546,366,503,547,552,376,428,041,
783,360,361,845,631,482,862,395,367,643,108,522,170,739,179,835,556,977,451,
273,484,902,998,361,622,712,399,917,893,533,728,202,125,450,016,334,615,734,
621,576,393,489,155,484,802,583,400,377,354,942,192,963,951,552,224,950,274,
161,552,522,253,981,331,322,491,395,606,541,588,542,472,093,381,957,246,206,
574,798,908,147,873,199,853,920,575,473,696,575,738,595,295,737,914,742,390,
139,635,457,361,149,122,309,152,841,597,915,803,936,598,337,604,288,296,434,
045,132,588,946,987,315,932,139,148,475,928,209,936,929,293,256,429,328,811,
909,898,639,732,863,688,266,005,854,171,517,812,330,390,015,012,896,077,184,
093,110,479,536,659,398,638,269,417,235,334,862,728,200,854,311,769,276,136,
831,127,085,755,053,559,660,571,298,608,298,719,161,599,531,007,978,111,752,
987,853,806,520,399,284,693,735,907,855,289,827,799,433,283,593,139,914,824,
258,130,918,016,211,866,585,116,642,059,824,925,190,386,741,021,547,542,593,
431,731,755,164,357,321,138,873,356,920,800,998,778,339,104,413,745,895,282,
685,089,573,891,639,528,144,466,368,938,655,368,325,590,891,403,662,648,195,
900,098,310,217,512,777,934,147,239,840,310,869,088,877,078,353,947,908,937,
526,047,457,949,347,601,300,632,298,334,913,883,713,011,137,030,399,611,865,
396,113,616,956,833,626,444,598,537,844,173,837,581,505,337,317,548,459,524,
758,896,041,058,340,749,168,788,519,845,194,362,615,135,742,698,157,797,877,
425,710,256,209,565,356,922,080,823,178,937,443,976,854,291,941,315,400,152,
079,033,495,116,159,885,377,540,624,337,037,720,396,558,139,127,734,757,327,
034,288,694,083,365,108,765,539,798,309,793,484,076,464,302,067,631,350,703,
091,773,096,565,626,901,054,279,719,372,496,730,495,134,875,276,566,736,518,
232,025,551,633,505,443,872,784,659,159,690,939,107,986,490,841,264,199,410,
065,105,990,986,364,948,558,763,965,353,926,679,272,909,312,307,842,802,939,
977,182,721,359,068,293,640,054,884,524,403,566,658,746,803,826,713,825,714,
882,551,585,855,836,875,731,423,065,735,070,428,996,299,183,704,704,206,208,
279,382,992,796,879,729,545,395,791,330,588,352,953,791,401,167,882,983,533,
260,311,205,919,333,470,386,774,063,139,653,029,414,904,176,147,015,222,921,
738,420,707,119,367,968,956,737,366,028,138,183,662,871,184,942,696,437,156,
568,959,449,591,043,944,063,865,744,607,383,478,049,564,737,036,884,476,148,
231,186,548,300,526,987,702,641,365,806,954,898,872,100,340,202,640,627,998,
227,865,044,069,889,235,317,549,045,054,443,309,492,154,858,842,893,074,269,
983,745,871,509,020,130,555,080,048,447,060,382,464,636,780,603,117,765,242,
746,491,144,839,788,231,957,815,897,103,949,077,907,993,704,799,654,961,066,
866,411,315,293,616,934,003,920,233,708,028,576,772,857,672,935,922,729,173,
818,069,772,074,362,931,561,088,997,216,634,566,824,828,544,651,324,189,723,
488,986,906,226,924,570,179,868,730,943,240,440,091,605,432,315,764,619,016,
201,471,277,561,971,881,941,626,121,929,444,280,401,879,323,274,340,223,452,
363,574,415,966,438,047,191,279,503,814,021,632,731,303,549,718,060,414,715,
118,254,585,112,351,925,473,184,886,219,810,247,225,168,749,968,909,037,807,
652,547,794,574,781,792,224,017,554,827,864,692,619,821,907,618,161,580,889,
054,717,108,496,871,842,122,664,523,561,288,335,114,859,069,486,872,540,972,
734,920,619,894,739,656,038,518,097,225,295,201,489,189,562,420,777,101,856,
849,077,864,082,966,659,934,859,862,485,081,123,643,735,700,239,858,456,223,
144,792,703,862,300,052,800,130,954,754,082,748,000,248,243,922,656,839,207,
307,819,245,213,609,678,652,948,940,400,751,083,193,659,442,986,680,294,191,
823,870,638,106,546,643,564,858,773,119,591,994,644,659,343,377,403,316,803,
462,263,034,385,461,091,957,251,655,434,727,325,012,473,896,278,058,034,682,
998,162,990,088,874,824,421,327,865,008,069,673,184,482,181,852,748,709,696,
333,252,029,989,352,497,034,600,187,450,601,138,870,048,964,744,849,628,385,
970,653,853,524,915,570,951,393,786,486,569,837,283,761,392,519,944,278,065,
000,971,580,158,113,831,271,759,088,249,976,956,547,570,119,320,615,173,230,
370,764,091,770,672,242,423,663,593,507,626,417,372,391,073,361,773,293,325,
220,208,082,175,116,007,494,241,416,380,141,180,461,888,642,748,476,247,929,
834,713,506,745,568,652,138,825,068,554,949,286,962,574,024,800,116,436,458,
542,687,055,428,676,795,101,128,777,166,337,513,140,383,633,475,998,207,470,
324,783,646,786,973,958,460,736,161,415,200,865,317,059,360,387,598,203,151,
842,812,405,103,339,101,525,908,311,533,568,905,041,381,917,971,315,711,051,
536,297,513,881,033,449,659,581,153,159,312,638,950,403,461,666,412,234,139,
129,198,783,236,089,987,883,333,621,646,540,153,892,020,667,311,691,710,372,
447,421,282,844,124,775,539,824,186,106,384,321,343,836,966,130,662,667,759,
132,842,555,010,920,587,232,278,924,850,298,668,936,067,511,900,756,919,323,
125,643,534,515,354,981,446,108,058,893,667,823,563,189,324,107,981,144,946,
845,015,602,298,995,808,277,944,165,011,260,468,599,669,672,111,258,855,120,
788,037,822,435,245,163,178,007,318,524,510,274,580,347,719,688,149,326,736,
589,976,100,411,087,047,790,260,106,325,070,427,305,011,589,065,020,006,157,
394,187,066,306,748,363,141,936,875,100,454,642,085,933,257,958,269,463,399,
964,573,850,807,189,723,541,974,238,393,541,021,662,925,054,315,148,747,421,
969,635,002,133,405,085,536,468,146,877,472,618,814,360,862,421,708,612,087,
238,472,827,343,796,057,284,399,036,343,505,126,798,850,202,551,873,193,786,
470,747,331,109,992,649,982,486,236,809,581,582,700,161,971,768,562,742,808,
691,003,732,026,036,305,722,722,279,485,671,703,096,981,879,073,644,120,877,
847,971,221,443,484,248,438,760,678,269,874,265,562,723,149,893,740,737,769,
344,747,713,351,212,422,096,656,175,385,185,855,494,537,366,892,051,018,632,
862,869,703,427,653,850,985,031,504,818,216,488,796,668,197,404,870,380,965,
442,512,112,295,752,709,247,332,046,977,132,066,586,995,885,113,742,009,686,
246,967,197,075,954,870,130,077,906,166,420,070,368,707,341,274,478,984,512,
596,400,440,301,291,204,120,518,004,093,137,500,056,447,814,464,806,218,740,
972,509,126,190,976,057,718,966,130,546,943,275,725,534,735,963,472,541,145,
934,417,981,982,867,020,094,049,663,458,568,587,683,918,234,588,122,683,896,
223,650,018,484,776,137,070,285,545,807,313,419,016,369,514,759,048,398,525,
401,020,379,309,452,581,632,522,875,284,447,678,733,562,345,598,877,534,686,
009,037,521,505,630,798,432,516,080,632,334,592,775,306,611,770,133,571,036,
645,276,548,483,436,760,689,240,521,082,307,510,209,924,985,518,563,091,375,
103,204,593,653,465,348,247,041,716,116,606,659,719,858,965,356,874,360,306,
745,469,177,676,960,930,974,794,720,618,357,713,341,952,796,312,729,452,556,
780,299,593,253,419,702,671,311,619,468,849,313,072,154,972,943,634,480,527,
261,115,729,369,540,340,985,138,168,486,552,632,515,491,673,103,064,178,839,
065,628,438,648,200,913,949,176,258,106,637,202,546,834,738,591,281,092,571,
178,494,929,358,986,227,750,060,023,384,359,503,566,653,856,612,016,042,174,
539,089,837,996,902,669,090,547,079,752,402,152,603,379,494,129,504,855,513,
055,318,477,001,752,617,398,974,750,958,980,553,190,969,037,925,333,321,983,
887,720,178,888,257,522,375,113,210,507,599,652,818,877,541,044,587,444,643,
962,344,103,357,316,124,834,708,485,189,207,900,489,233,057,427,812,121,685,
172,842,091,070,157,435,596,622,365,732,772,953,954,337,759,941,069,470,705,
627,513,782,020,150,452,036,500,506,787,295,234,107,195,168,500,226,822,888,
915,080,551,529,747,706,129,651,119,466,341,969,733,043,571,875,190,988,625,
521,514,405,767,955,903,994,031,217,945,271,686,941,939,490,862,178,400,290,
360,166,850,746,167,683,498,656,431,868,342,028,259,525,080,325,101,384,979,
073,929,649,819,713,109,970,495,341,368,554,260,872,249,787,032,233,120,210,
377,367,162,703,956,283,986,529,931,262,708,036,279,162,167,605,592,756,788,
285,493,240,272,712,809,080,676,206,955,762,211,602,608,616,317,702,785,815,
645,027,318,355,123,187,737,101,033,807,701,152,329,876,528,463,081,132,245,
284,630,728,750,753,931,705,230,672,117,075,274,286,257,985,665,566,088,078,
067,526,549,715,502,478,532,525,582,226,123,382,342,537,986,325,330,064,732,
449,469,431,231,544,905,661,675,825,993,868,154,046,261,500,529,472,967,723,
782,445,853,818,379,803,249,779,789,485,359,650,673,608,942,487,908,555,737,
850,865,182,058,414,507,911,951,971,366,826,260,928,567,372,076,533,760,560,
787,132,505,765,793,683,707,337,252,318,435,538,506,462,016,273,678,269,615,
142,794,887,262,043,796,346,099,637,731,317,813,027,821,459,638,280,093,502,
531,441,163,123,539,087,244,856,083,257,910,629,769,531,689,772,852,241,480,
098,271,596,814,988,731,729,864,845,953,239,934,670,250,575,762,301,310,037,
928,024,421,346,698,592,763,854,628,522,849,686,438,203,574,722,041,517,472,
654,684,950,297,028,868,341,989,179,510,739,628,962,515,282,647,724,131,807,
271,214,057,333,105,918,677,541,464,495,078,085,539,847,383,829,422,432,139,
542,880,070,151,099,135,076,318,285,360,977,547,460,852,584,318,312,471,642,
643,675,635,955,220,833,954,642,179,261,007,140,115,350,280,786,629,223,681,
307,743,897,636,158,250,173,454,848,549,491,975,077,541,866,475,673,832,107,
457,008,011,601,908,366,051,619,262,285,400,234,728,418,059,718,029,746,119,
136,687,925,753,565,709,422,194,999,974,342,529,461,745,748,989,304,540,188,
844,894,541,227,590,413,474,338,097,212,105,296,688,109,784,455,667,866,672,
645,859,074,708,706,185,806,145,937,842,443,280,663,134,831,535,864,289,488,
297,113,447,437,003,844,594,110,928,036,359,300,693,456,687,417,836,138,782,
733,578,930,591,926,213,949,888,076,441,287,404,385,628,881,712,578,051,258,
867,771,129,508,304,396,166,115,192,937,872,649,086,530,011,157,967,252,948,
667,597,087,547,704,299,195,741,268,674,789,870,805,034,518,151,775,474,304,
427,360,964,577,511,710,312,609,914,940,463,264,458,089,664,968,673,504,379,
066,583,795,220,379,439,428,896,813,927,563,372,890,890,226,295,218,728,908,
821,548,753,443,933,638,783,352,143,692,992,547,643,769,661,628,674,717,303,
400,331,178,356,956,273,963,184,373,453,306,956,293,490,872,453,237,847,549,
120,692,874,849,464,320,595,814,061,407,565,561,404,304,214,979,163,724,124,
529,958,539,573,142,747,677,701,458,381,894,608,179,840,133,909,963,587,381,
332,122,991,687,820,908,207,245,307,625,644,242,816,147,703,412,152,113,360,
967,439,966,812,075,027,306,611,310,600,179,195,969,375,408,746,871,722,393,
220,057,768,643,691,544,185,526,349,863,328,069,345,969,448,746,191,868,647,
647,928,722,919,271,835,325,079,850,132,310,699,167,369,035,723,649,897,393,
548,152,563,265,578,677,133,504,157,274,435,763,567,257,987,867,082,518,460,
131,330,368,027,802,308,054,639,979,764,719,760,033,322,931,695,979,728,114,
089,693,059,760,391,956,885,321,603,657,912,617,224,804,316,693,625,896,339,
174,169,449,735,793,951,025,289,365,742,373,309,621,694,701,365,360,258,946,
497,546,838,190,064,657,010,211,630,028,991,186,583,957,009,170,026,080,486,
641,880,758,965,642,835,847,401,411,184,197,649,510,066,543,702,453,388,344,
632,462,922,103,424,749,117,024,011,163,526,307,064,413,140,184,743,030,256,
481,071,928,910,331,784,815,177,489,022,165,053,394,479,570,200,209,769,878,
084,696,943,879,655,387,861,013,269,599,214,939,447,381,297,271,371,444,000,
923,254,067,420,330,889,653,362,005,451,298,330,186,128,042,914,473,460,517,
008,585,260,146,549,127,743,805,426,889,486,189,704,898,421,037,891,814,807,
444,193,903,227,566,204,813,549,777,786,182,971,320,474,871,599,821,666,471,
520,138,740,337,224,510,370,547,857,576,863,266,770,412,823,682,423,505,084,
591,151,227,377,417,719,162,331,590,984,940,956,204,773,025,443,009,126,220,
052,261,265,477,659,114,190,116,845,316,130,621,221,800,091,620,260,874,120,
537,795,182,509,769,119,625,819,091,965,003,773,719,077,433,096,970,281,192,
757,573,067,152,557,600,616,402,428,473,295,827,141,335,520,245,028,444,383,
409,907,030,060,561,019,098,425,741,428,893,351,068,589,463,010,955,283,242,
335,395,232,376,068,214,756,445,762,253,292,271,006,111,965,582,612,628,843,
667,973,511,416,376,028,167,604,980,754,732,300,839,985,145,141,367,897,037,
942,713,248,130,957,465,136,657,645,032,711,088,186,525,317,307,817,891,149,
414,000,320,333,658,654,725,428,328,322,830,329,986,913,362,239,157,314,394,
817,021,446,163,232,783,974,249,007,105,880,811,874,421,591,675,742,223,298,
507,876,960,708,454,283,470,878,311,240,965,992,196,317,007,741,233,727,061,
077,088,814,594,542,899,422,996,981,165,036,499,540,861,698,497,712,793,697,
252,957,524,329,483,169,244,467,611,146,501,955,320,260,866,340,245,012,550,
820,855,451,613,312,893,611,633,849,398,820,082,622,300,485,187,278,898,318,
272,020,563,600,159,623,364,977,148,690,939,790,176,941,001,111,196,912,388,
389,100,741,472,342,069,343,041,675,134,202,193,848,712,880,876,247,183,793,
262,891,154,813,586,948,283,931,210,009,580,177,326,018,981,516,205,410,012,
378,578,902,409,951,740,697,661,568,253,552,587,559,245,087,474,222,554,731,
334,394,456,726,198,660,386,533,299,526,248,857,369,968,588,057,433,574,626,
804,763,595,064,406,663,816,346,794,441,785,948,933,793,426,177,278,526,854,
191,160,246,056,102,215,061,680,638,636,008,866,280,374,305,281,798,139,596,
729,881,009,998,298,200,462,481,986,014,532,290,360,775,370,653,271,066,392,
237,032,288,860,145,665,711,297,302,494,850,534,525,742,590,905,775,584,421,
129,664,429,463,277,813,075,488,052,198,976,941,763,712,384,902,754,045,692,
484,134,570,860,073,622,362,205,221,848,567,603,099,248,938,830,197,992,007,
298,220,679,772,091,907,332,537,789,614,664,081,185,177,418,802,214,242,052,
966,941,120,326,529,962,536,184,390,725,024,091,407,612,182,886,602,286,854,
790,076,577,630,720,533,828,627,748,000,210,397,423,546,459,062,343,370,982,
870,312,786,825,872,280,409,779,474,025,846,979,822,849,600,267,290,678,940,
748,282,179,620,465,921,492,698,200,645,513,063,344,274,233,008,229,728,259,
287,530,583,917,711,657,902,421,767,946,182,489,123,039,591,687,163,222,344,
582,916,049,599,854,719,166,547,052,580,131,272,876,395,308,768,337,366,862,
371,101,668,710,282,132,068,997,516,187,379,798,355,834,683,318,537,242,610,
659,829,139,729,995,589,805,372,432,653,961,716,253,919,139,621,486,023,968,
879,456,523,988,776,206,304,100,022,359,000,961,920,552,260,909,534,837,208,
937,627,137,323,998,304,526,141,649,720,171,834,691,024,928,660,408,692,393,
749,078,410,208,215,069,662,393,027,020,420,248,040,671,168,738,889,374,916,
475,718,792,538,949,443,165,604,000,037,100,033,686,229,508,795,468,419,191,
912,589,016,864,275,649,564,229,524,716,017,311,134,618,039,248,653,118,900,
016,000,412,056,150,193,111,238,906,253,569,697,611,347,466,425,522,579,986,
735,497,890,865,945,221,384,151,253,432,253,678,180,500,861,944,188,799,512,
855,932,123,559,239,352,370,476,442,399,480,507,443,975,966,995,758,993,128,
298,307,033,128,492,863,544,035,990,314,667,889,005,272,210,437,662,408,112,
899,343,316,669,235,129,636,918,291,230,226,960,945,022,370,535,881,201,110,
656,558,686,209,654,181,861,355,758,040,533,996,494,558,832,286,170,758,535,
692,832,450,318,271,077,404,527,885,600,733,862,008,256,485,360,779,841,929,
289,450,508,945,452,401,408,306,950,540,862,210,101,530,300,217,854,115,188,
957,589,212,542,929,979,807,679,538,180,622,939,736,057,140,962,410,558,862,
096,803,315,368,365,272,016,858,679,121,182,241,625,627,301,212,511,143,850,
525,661,218,417,077,382,863,020,373,826,671,658,974,947,691,302,935,735,336,
972,194,521,979,886,887,702,973,466,379,439,870,194,344,203,848,523,088,525,
554,901,678,229,891,151,213,104,935,241,906,403,819,535,741,813,302,633,409,
780,545,608,745,303,715,615,795,411,946,886,132,089,197,443,793,972,158,488,
227,725,544,160,150,707,217,821,502,514,993,318,018,832,202,202,441,063,963,
652,264,447,542,176,527,232,091,610,366,393,362,798,604,154,234,483,833,993,
713,867,549,421,604,941,028,662,469,240,790,451,227,938,361,992,374,344,049,
754,088,090,817,279,582,458,284,874,771,283,661,014,427,526,308,075,684,041,
123,572,028,851,318,114,916,194,520,672,913,007,239,660,725,984,771,025,130,
386,970,784,456,004,508,564,275,151,293,166,973,286,235,546,083,412,544,207,
144,158,061,386,080,314,067,817,895,048,545,245,893,109,247,970,532,205,820,
378,957,911,328,754,723,431,080,452,061,968,377,965,789,693,308,525,441,320,
509,116,189,830,180,549,507,145,900,559,234,391,196,673,952,806,334,779,643,
429,482,139,586,065,703,224,324,368,902,042,765,638,994,396,321,196,542,411,
697,448,648,198,820,370,479,462,255,154,123,810,683,884,605,126,179,142,548,
389,903,444,631,436,167,319,482,191,034,751,460,326,782,334,372,846,385,106,
029,948,776,756,088,506,768,637,486,710,516,278,209,089,070,331,492,751,742,
179,110,015,548,717,968,783,891,996,947,777,775,011,052,494,620,590,026,930,
441,161,889,575,486,846,839,015,898,697,579,939,741,277,347,096,909,417,561,
941,379,485,828,503,201,817,998,328,433,062,450,763,210,756,674,847,786,344,
542,643,175,883,707,843,585,186,052,241,702,292,497,292,821,385,482,924,716,
674,037,061,264,869,314,346,276,638,461,701,490,739,064,624,678,578,502,551,
542,289,351,635,934,424,337,137,348,184,039,556,899,433,715,036,851,709,360,
135,305,260,954,496,072,661,624,615,091,187,821,534,937,842,231,739,793,372,
360,456,310,413,157,189,218,207,859,788,761,980,160,443,603,003,516,691,660,
799,147,487,278,834,176,994,967,281,695,492,022,574,631,695,889,618,046,409,
294,360,767,934,599,115,419,318,842,273,564,990,975,190,495,565,465,312,896,
344,272,427,968,232,286,665,263,217,154,787,746,720,194,295,054,362,527,572,
143,467,948,246,456,680,918,651,783,091,460,543,486,230,411,967,441,815,882,
453,683,671,906,700,047,263,531,069,167,142,841,761,475,306,701,122,061,806,
003,846,922,987,682,360,558,393,063,375,022,568,116,889,630,767,889,461,096,
819,025,501,559,884,915,703,255,606,386,974,693,864,117,173,925,943,890,159,
040,276,439,449,039,023,506,078,477,007,418,867,568,953,177,364,640,802,448,
242,817,145,029,845,029,790,871,627,968,085,264,828,051,239,560,739,082,406,
810,407,839,988,668,937,093,883,754,182,496,140,552,715,258,189,175,784,621,
074,797,543,360,301,288,478,026,351,291,758,472,344,701,607,588,135,518,488,
425,599,181,815,563,513,477,847,393,804,975,941,687,091,476,939,516,150,464,
370,488,537,418,926,591,694,993,865,551,899,596,175,320,187,151,860,159,291,
817,269,064,547,175,382,618,187,521,946,893,241,286,387,689,438,849,496,303,
656,750,332,291,387,319,676,419,000,666,996,371,614,126,132,430,587,982,663,
234,434,698,236,647,608,498,799,945,801,311,288,005,551,398,510,755,931,304,
876,382,272,842,283,126,512,355,866,384,683,808,160,304,010,369,086,669,014,
371,620,885,342,933,108,101,463,245,853,330,704,339,761,778,522,426,910,524,
084,450,454,796,230,269,879,007,655,284,753,594,741,612,802,002,667,903,222,
801,712,585,080,599,016,667,752,461,083,145,795,575,958,723,926,129,629,993,
016,308,228,050,789,147,873,230,607,398,619,049,884,414,456,984,234,862,040,
663,272,779,645,151,474,444,877,828,263,224,335,457,669,354,270,794,752,703,
154,785,462,816,387,703,181,209,184,401,418,393,828,242,732,594,316,037,101,
671,491,183,148,906,580,708,724,512,124,682,713,975,426,270,132,395,644,118,
550,714,723,236,705,730,113,711,899,958,656,208,764,419,910,820,503,591,601,
902,406,411,491,680,350,625,389,158,640,937,406,710,299,516,898,010,112,650,
767,048,472,825,708,635,812,877,137,842,152,316,273,792,098,674,304,710,404,
443,878,216,636,348,326,742,917,196,599,450,697,453,584,102,085,251,348,790,
615,279,325,957,262,154,978,596,816,272,501,811,941,737,208,894,462,951,757,
905,434,107,162,123,423,308,531,156,899,685,304,512,583,610,362,426,060,065,
903,402,700,106,494,483,671,510,579,970,653,591,026,814,587,787,053,923,885,
089,352,304,694,109,628,242,469,573,478,408,646,095,170,906,210,448,999,417,
587,321,129,560,425,295,284,348,181,216,724,841,494,864,074,771,586,154,252,
604,463,225,247,301,988,649,696,579,718,773,679,165,612,058,213,721,219,283,
123,475,149,706,498,914,950,355,233,209,326,450,006,447,047,454,718,184,569,
823,168,605,194,406,957,757,712,799,333,537,765,863,216,712,726,697,886,966,
401,365,070,132,831,533,051,791,937,455,154,099,856,547,685,265,536,978,154,
458,440,319,021,870,430,461,182,825,219,506,723,327,429,512,684,539,260,459,
874,564,403,659,533,808,231,434,284,434,361,063,014,549,904,157,166,282,033,
535,904,729,829,253,177,530,941,703,924,903,615,607,232,582,338,382,989,275,
883,046,627,906,729,119,835,092,386,478,121,058,459,839,730,752,368,138,739,
739,427,220,301,965,549,430,180,364,148,046,983,320,940,785,359,121,663,814,
324,092,860,299,234,208,997,828,857,129,855,998,084,931,237,783,931,357,022,
455,090,471,922,701,744,249,574,408,652,674,518,472,402,601,021,970,098,511,
946,226,283,333,760,783,135,378,669,211,568,825,308,018,235,990,067,321,286,
649,212,739,250,910,521,595,783,175,565,534,028,519,898,578,253,070,439,706,
181,027,127,575,150,512,324,563,118,773,185,942,983,768,815,874,904,995,121,
941,841,220,419,657,857,410,169,932,241,980,234,635,535,589,219,436,053,841,
916,645,155,699,055,391,815,475,781,563,271,416,379,464,803,300,740,852,151,
074,021,958,178,975,333,557,985,192,052,655,677,433,849,216,835,391,133,826,
053,119,940,631,267,856,316,521,879,013,265,090,627,819,061,335,389,327,499,
569,235,958,952,396,064,293,249,054,980,981,389,182,332,316,293,987,315,195,
847,380,314,004,045,585,568,317,163,562,961,952,030,141,888,421,501,313,242,
616,768,417,029,005,720,850,390,413,212,485,655,130,781,082,284,522,133,179,
803,899,621,195,838,308,689,001,686,137,381,038,537,009,844,858,010,913,582,
549,200,140,315,378,560,721,668,814,559,334,217,979,977,060,990,543,714,132,
463,358,541,600,478,214,170,650,183,699,667,107,643,212,620,778,272,849,185,
821,807,319,498,994,690,997,956,149,203,321,290,269,565,822,832,348,844,147,
269,352,168,422,203,169,046,582,788,030,186,867,865,743,073,845,981,645,929,
126,382,655,704,316,839,088,381,812,289,105,909,411,590,298,165,944,854,169,
463,426,912,340,039,739,343,978,423,297,563,316,919,178,972,268,833,962,180,
803,891,688,711,720,594,458,156,628,020,616,612,928,870,074,957,486,094,272,
627,476,931,613,532,580,252,112,169,786,578,128,599,724,603,771,672,276,807,
422,046,607,449,683,044,339,676,646,816,022,461,418,895,299,163,483,859,436,
913,074,816,381,297,190,649,900,204,444,740,341,850,461,587,142,485,677,013,
144,137,235,204,582,989,041,629,396,332,392,521,446,784,619,502,165,704,460,
179,919,567,258,498,770,027,502,841,064,448,815,845,523,337,329,844,012,488,
383,326,162,942,215,594,358,647,128,102,734,059,359,236,506,530,958,363,722,
569,411,565,820,529,533,784,249,202,595,403,495,430,397,050,864,269,881,719,
614,107,312,340,891,639,011,703,039,682,818,285,509,044,350,934,180,952,496,
296,036,598,234,618,997,860,510,198,672,793,693,152,396,895,390,452,496,614,
852,059,128,200,749,096,225,661,121,519,662,996,713,639,334,168,109,425,447,
266,570,467,038,549,834,112,840,366,931,703,074,250,681,239,448,944,186,408,
901,551,754,612,783,185,221,182,074,307,465,233,960,561,962,805,036,257,709,
196,071,082,768,910,444,057,704,783,815,475,296,727,264,549,138,036,950,684,
202,287,171,513,504,445,094,442,909,647,893,165,738,193,745,098,343,665,246,
719,097,086,175,649,468,412,019,928,071,936,476,556,301,873,462,526,684,651,
748,532,954,470,362,744,828,706,319,826,899,931,672,664,373,466,857,224,267,
442,059,779,836,250,895,005,953,614,701,483,991,682,958,153,074,269,115,501,
433,855,164,819,656,315,714,323,395,256,959,599,833,184,093,921,241,166,487,
159,593,843,388,747,010,543,747,291,984,751,898,396,534,785,402,935,143,672,
531,921,783,732,500,147,137,422,003,720,586,271,663,742,683,740,975,788,483,
817,698,488,727,054,862,825,039,278,856,925,632,109,504,470,552,404,835,405,
825,503,540,830,614,182,608,694,065,603,544,398,159,377,332,981,769,543,173,
747,178,019,502,456,046,759,638,671,792,199,224,527,105,430,916,180,498,495,
351,594,520,180,416,907,797,599,053,354,067,085,489,640,034,101,108,341,131,
294,066,006,022,900,172,018,342,172,714,804,687,915,986,477,997,592,899,588,
339,211,173,720,569,250,677,593,432,973,117,210,271,661,935,067,622,364,071,
406,799,692,024,771,808,767,953,878,515,289,150,195,579,656,594,297,597,765,
551,003,410,614,443,965,942,221,340,797,733,004,043,000,923,737,140,084,744,
285,845,308,040,114,127,288,617,098,849,301,174,011,694,779,520,611,334,112,
872,550,979,703,110,119,700,875,091,010,228,360,614,970,307,227,613,555,085,
807,844,294,161,445,185,539,138,455,684,012,710,167,366,927,186,667,968,695,
793,366,232,590,560,847,905,279,031,073,521,420,227,284,698,998,898,449,285,
829,582,030,850,329,891,488,307,277,690,740,258,465,092,756,339,019,143,182,
086,155,954,444,107,646,780,392,103,274,359,498,611,129,293,454,060,464,763,
828,481,651,131,469,922,645,038,739,886,838,459,583,454,524,039,895,414,372,
485,972,432,929,435,618,325,635,705,163,465,750,928,489,352,278,436,292,667,
635,386,607,480,004,826,961,344,173,013,095,873,766,993,571,354,753,812,068,
630,438,588,962,234,783,366,228,923,459,700,827,592,277,499,064,806,101,491,
612,057,268,880,553,396,012,100,986,251,646,690,841,667,672,497,613,363,165,
461,052,630,369,186,845,103,639,679,812,114,926,860,559,441,121,070,798,597,
510,103,656,820,186,743,647,475,024,465,954,424,393,100,879,278,760,056,822,
392,754,250,521,445,944,258,128,126,311,333,156,741,699,015,852,526,106,820,
837,188,745,109,817,159,685,093,257,248,906,323,205,416,949,501,109,754,600,
243,104,499,525,688,626,823,618,774,116,516,447,740,546,157,290,041,410,803,
895,434,336,438,375,145,805,403,667,812,001,965,678,724,378,186,328,485,499,
350,601,653,676,345,392,830,564,676,808,608,784,592,495,533,540,210,633,563,
232,445,300,272,407,171,602,979,153,746,502,547,997,305,345,005,539,702,207,
743,248,823,604,412,706,643,345,280,289,519,730,631,146,561,744,274,215,199,
760,975,564,938,086,639,483,675,731,549,208,636,635,240,487,073,996,430,942,
174,894,874,867,506,487,452,774,155,071,813,539,915,620,913,416,882,687,580,
981,702,599,023,735,553,190,521,916,466,173,537,493,683,766,595,703,112,208,
740,597,528,590,197,538,531,574,494,596,900,101,684,643,452,877,092,950,922,
488,384,947,605,252,812,654,676,799,330,707,875,620,186,754,197,004,414,899,
550,729,648,952,665,692,645,939,951,394,732,879,717,184,947,934,213,433,469,
370,394,187,364,483,577,524,999,315,151,004,135,536,393,875,742,991,038,040,
886,895,504,707,866,570,351,291,541,615,295,607,823,361,750,533,496,880,544,
323,023,218,841,671,754,471,221,633,079,483,306,349,947,327,393,608,646,741,
756,926,164,406,141,075,935,204,093,443,976,402,837,982,654,235,987,092,601,
479,505,993,853,705,523,167,517,910,993,201,759,368,900,107,893,725,228,402,
004,798,688,264,609,408,336,186,764,967,393,430,235,366,058,178,300,344,678,
025,399,430,733,017,207,426,335,615,331,838,862,596,598,154,455,403,374,686,
071,849,632,068,199,596,431,507,597,444,751,764,469,106,082,811,844,974,866,
590,949,675,485,480,605,815,936,835,813,936,532,853,671,453,814,418,588,450,
636,764,742,991,822,368,093,901,863,581,695,696,035,158,520,471,286,518,607,
716,055,975,725,157,852,086,407,269,907,029,117,169,696,666,053,684,848,506,
927,513,600,598,276,486,280,728,543,310,797,034,667,187,450,119,010,427,101,
968,191,786,168,936,997,123,664,829,953,904,792,573,505,962,446,301,436,184,
200,083,944,593,561,194,067,084,240,087,504,945,769,443,292,992,361,993,073,
658,773,678,731,035,605,842,086,612,903,700,957,578,745,545,608,691,244,922,
630,650,899,400,913,855,113,527,531,069,220,695,018,241,320,624,857,181,701,
329,093,566,000,708,941,173,890,866,549,877,865,635,537,637,800,915,531,397,
832,170,992,115,160,901,148,130,440,981,795,087,197,863,001,794,924,266,072,
118,144,122,856,874,485,588,033,678,052,996,331,308,657,756,229,484,381,461,
950,658,423,594,603,150,112,374,088,251,446,561,234,126,945,360,165,873,087,
368,592,901,089,611,443,011,208,177,622,496,189,603,883,853,944,111,504,412,
593,590,729,903,707,815,949,447,354,310,689,312,209,153,360,787,534,903,395,
786,702,831,437,770,455,075,004,572,766,807,294,721,649,501,853,696,131,395,
045,964,318,884,083,983,885,836,189,950,868,443,017,653,066,833,038,580,107,
282,620,422,592,998,544,020,223,177,877,166,310,476,542,502,107,433,121,250,
082,824,234,941,596,148,978,333,770,740,023,967,198,422,184,460,381,471,856,
575,375,348,677,103,836,632,827,225,934,570,669,269,523,979,030,376,712,763,
551,899,256,055,675,637,866,587,862,094,372,829,688,376,331,418,310,951,524,
585,377,643,279,075,077,931,416,887,599,475,748,293,942,716,969,344,350,643,
420,270,075,301,379,384,977,602,331,655,554,697,507,900,176,092,028,453,550,
521,675,785,936,937,644,064,950,166,112,502,881,077,483,994,449,689,491,163,
885,394,469,917,526,673,268,043,304,549,697,835,098,807,210,274,891,791,703,
511,057,490,162,906,686,300,276,285,595,786,075,018,672,117,167,118,899,163,
054,915,132,815,052,839,278,354,513,325,213,440,396,517,322,210,277,971,197,
122,800,573,360,579,718,631,071,445,121,319,871,985,795,902,927,387,175,028,
049,879,805,916,263,304,956,824,964,656,401,546,924,324,799,183,703,309,790,
737,560,445,679,411,495,422,217,315,950,177,432,569,020,059,388,641,121,463,
138,527,534,619,460,324,694,880,583,513,937,959,705,571,500,524,330,850,794,
346,124,984,733,665,179,083,511,892,875,664,730,262,226,615,884,091,098,406,
238,793,170,603,765,757,040,432,359,380,307,374,195,305,475,139,134,711,665,
074,136,216,162,623,372,863,576,399,444,941,786,410,570,948,713,356,735,330,
907,882,458,252,428,276,351,320,023,925,813,044,238,614,307,052,744,598,522,
031,861,964,729,705,464,073,642,647,251,353,142,363,151,628,819,118,178,707,
142,195,575,490,486,114,821,386,683,373,991,444,806,847,015,850,348,118,452,
765,120,910,936,790,529,488,791,690,295,142,239,390,937,829,585,964,247,848,
322,469,289,373,219,125,287,484,254,999,608,806,243,485,151,845,409,573,713,
002,363,820,938,104,160,793,567,884,043,952,732,403,441,828,444,109,708,064,
092,896,855,897,830,493,136,385,305,054,487,710,719,292,825,575,353,328,533,
677,354,168,944,155,475,436,761,241,346,381,353,295,769,698,778,510,736,883,
166,579,078,819,549,491,924,499,987,238,754,626,631,374,884,095,149,235,459,
309,467,603,266,850,609,810,385,421,492,663,292,440,290,060,226,255,191,930,
513,996,495,187,012,060,919,910,333,094,858,265,860,640,032,085,529,720,153,
816,631,750,170,258,931,483,522,872,056,081,384,224,888,741,742,077,544,317,
882,756,624,547,471,105,427,320,001,504,312,921,739,694,898,659,544,650,258,
147,389,592,957,878,041,792,024,535,130,473,296,944,491,320,685,800,080,532,
649,281,796,536,093,997,397,137,202,024,124,718,153,051,790,845,016,284,679,
585,672,366,461,166,104,275,302,499,115,877,409,525,342,138,456,936,454,575,
954,529,179,541,368,612,518,739,383,915,032,059,709,137,017,098,352,707,258,
626,528,119,601,915,296,949,327,634,842,844,968,559,222,550,099,145,138,484,
784,229,858,983,353,998,433,807,087,504,089,120,034,073,469,320,397,392,889,
585,905,036,721,394,000,320,909,788,642,251,230,344,085,908,936,698,065,417,
206,704,158,367,181,206,562,296,629,654,378,899,463,442,317,710,131,201,247,
518,540,752,156,402,572,263,246,427,073,289,983,000,856,078,436,000,040,755,
413,307,115,807,586,257,251,312,140,414,610,098,383,959,918,947,643,352,227,
997,705,432,212,709,511,669,391,132,059,283,554,859,364,299,779,552,941,258,
477,989,516,047,570,548,932,857,407,614,618,676,947,058,289,488,986,194,280,
581,405,837,231,337,189,057,981,642,895,651,066,925,844,328,037,872,723,903,
037,017,941,819,636,007,769,803,863,665,850,398,812,661,793,543,396,178,876,
154,857,619,161,421,979,971,443,301,369,614,470,897,629,622,585,904,421,836,
995,334,655,372,129,473,625,648,004,828,611,087,612,080,967,167,968,487,735,
515,361,889,956,623,705,729,047,512,835,858,647,902,903,340,738,607,210,082,
776,350,231,063,677,304,299,840,888,514,120,534,912,688,161,793,838,870,857,
717,406,101,628,927,865,880,122,129,905,845,290,434,549,388,831,274,299,231,
697,239,585,766,767,923,011,011,621,394,871,677,295,201,466,501,176,724,179,
122,219,136,433,196,375,371,093,084,264,359,906,395,726,040,225,734,104,888,
205,079,154,442,414,670,300,560,843,163,103,100,513,597,570,697,213,714,025,
421,489,570,278,939,964,389,537,650,907,398,886,940,194,547,800,710,552,518,
664,342,698,549,380,251,404,282,296,074,408,447,243,896,785,587,654,811,191,
320,505,939,549,601,857,325,333,532,382,925,368,312,076,577,867,087,539,849,
495,157,956,278,060,220,096,762,325,362,773,750,152,877,786,116,923,548,548,
439,203,877,866,748,463,843,200,133,656,688,395,969,820,237,952,132,801,817,
793,493,475,107,736,228,209,066,984,567,697,832,315,682,395,911,132,478,909,
841,383,081,063,552,204,378,100,185,783,438,552,229,293,860,127,361,383,375,
655,795,113,659,169,431,794,967,100,250,661,070,798,787,703,693,125,085,582,
833,982,949,447,014,272,372,651,142,339,052,282,381,095,563,011,501,817,361,
122,369,898,369,810,122,791,468,257,127,862,321,757,592,034,468,617,554,493,
521,638,616,903,943,042,983,116,462,782,222,577,550,339,092,014,882,637,309,
804,905,763,094,474,537,821,263,150,324,673,991,468,601,201,137,313,569,018,
447,942,724,297,537,689,997,104,280,440,742,979,413,130,130,119,481,798,824,
063,662,202,612,761,738,945,891,172,368,923,940,248,921,581,272,309,225,405,
635,311,680,562,804,155,773,934,103,749,371,166,565,124,044,672,525,094,347,
370,082,256,990,826,988,540,508,652,139,163,247,471,361,925,023,064,444,019,
327,841,718,222,269,099,315,063,041,747,341,892,650,804,777,389,883,133,843,
779,874,141,594,299,244,942,001,255,528,836,240,709,200,311,691,922,638,444,
304,152,325,565,148,286,405,352,442,311,250,385,755,549,370,138,791,365,347,
158,730,594,938,213,677,753,642,060,922,621,624,206,784,896,395,610,299,946,
800,019,410,680,420,219,145,380,721,783,364,620,308,280,177,167,782,799,849,
207,434,241,896,322,716,632,456,042,703,641,557,182,872,336,645,393,531,177,
796,558,915,027,472,120,704,228,890,076,474,000,155,180,771,260,323,859,427,
393,586,962,343,537,949,340,087,421,886,498,342,545,908,295,599,317,081,364,
803,634,482,800,370,512,961,752,549,850,077,166,674,991,047,032,601,976,767,
892,744,678,868,170,613,836,316,334,300,167,126,239,429,521,658,200,386,914,
494,150,845,663,148,993,031,615,558,294,845,683,649,932,361,519,781,184,952,
939,026,020,406,388,704,796,330,171,238,960,704,884,219,791,818,170,926,185,
654,320,624,695,339,674,175,493,784,560,748,322,976,838,037,030,392,285,074,
664,506,095,328,949,519,676,779,356,111,069,334,513,282,465,064,458,184,445,
784,633,035,373,179,231,377,753,777,302,208,500,853,247,020,115,078,923,396,
215,930,304,355,526,992,748,658,752,644,215,578,432,807,140,692,334,468,287,
117,649,768,433,104,653,563,057,783,297,693,664,475,070,233,233,909,352,574,
343,071,032,200,375,472,796,755,118,937,237,511,344,037,889,572,132,726,418,
219,635,063,833,899,006,215,595,271,512,617,774,005,911,901,038,167,122,289,
596,185,643,485,455,883,762,911,079,322,302,122,813,462,297,333,257,854,305,
405,231,742,833,668,384,734,386,361,918,927,297,949,118,358,216,167,291,944,
748,276,064,800,661,690,042,093,531,398,346,886,003,915,126,321,731,127,855,
041,124,195,899,670,474,694,685,607,859,553,859,398,139,334,508,656,664,202,
918,995,662,751,548,784,441,661,500,085,609,342,230,583,086,838,032,326,576,
264,471,383,217,899,057,776,526,292,862,840,555,519,636,799,764,968,277,621,
060,588,925,025,636,277,351,223,049,660,561,939,487,988,556,206,668,056,275,
445,553,523,181,735,729,792,336,084,035,209,023,367,552,934,662,158,340,300,
903,714,560,365,219,236,090,073,475,447,641,931,030,662,323,577,144,178,287,
574,056,743,195,069,245,120,070,017,902,988,871,055,077,786,250,525,251,312,
642,773,504,875,975,243,236,733,582,925,116,981,538,083,296,030,431,686,164,
693,892,246,816,848,713,833,977,652,977,105,161,717,160,024,976,443,809,779,
030,247,090,443,917,422,164,221,354,107,175,281,895,112,493,466,789,632,526,
510,696,291,416,154,535,440,842,920,421,553,313,723,014,577,923,855,408,825,
297,944,369,352,941,657,628,626,634,214,268,784,001,474,874,099,125,042,210,
385,840,639,648,166,445,333,099,928,305,695,319,917,409,786,578,149,539,230,
116,160,396,802,458,155,031,437,733,441,560,622,129,089,326,943,523,158,665,
500,090,208,476,964,247,360,092,044,385,042,141,298,403,623,404,738,776,364,
098,090,782,839,056,091,083,769,547,147,673,088,282,033,847,630,163,156,644,
624,586,089,568,007,500,917,537,493,651,312,345,323,038,180,783,641,618,640,
362,394,927,744,595,861,968,937,397,939,159,019,880,663,808,875,298,058,125,
919,149,886,311,345,957,940,353,772,082,315,059,703,738,025,367,889,109,906,
923,097,865,166,539,869,570,471,798,541,013,061,533,505,127,836,691,683,003,
532,413,958,444,371,614,610,710,594,712,891,931,323,304,307,094,296,885,673,
085,971,849,857,494,652,989,983,765,992,245,140,920,300,763,890,699,722,859,
656,207,320,905,310,673,671,999,845,057,665,639,225,186,864,179,703,889,689,
692,630,694,375,432,321,004,171,955,305,931,363,428,160,188,466,337,461,304,
292,026,548,619,858,097,754,621,215,916,646,091,982,599,302,766,474,686,775,
595,085,971,870,642,646,157,045,339,164,338,658,375,235,069,229,393,250,138,
145,191,289,901,765,308,466,280,557,661,410,651,960,150,031,358,378,354,372,
893,699,570,222,423,464,791,338,322,234,746,895,193,616,481,154,315,439,341,
530,782,592,059,802,335,659,926,500,225,164,943,344,963,595,814,073,025,248,
392,461,885,159,525,128,874,253,672,222,620,626,224,390,748,187,638,886,528,
336,153,509,875,541,702,554,366,786,940,126,100,791,278,745,526,513,424,024,
307,949,873,940,811,368,876,525,427,436,097,284,442,218,644,764,187,136,219,
780,550,939,135,757,799,615,843,868,084,489,966,135,441,687,379,705,601,119,
816,262,230,842,567,817,291,740,953,891,477,601,012,631,898,115,911,959,686,
032,680,369,037,257,421,603,582,100,222,089,989,824,436,723,573,142,781,788,
443,377,252,309,057,803,408,206,911,101,564,900,077,373,998,623,423,114,896,
960,596,352,656,557,560,469,988,134,785,593,930,276,531,577,790,142,590,203,
384,255,747,574,174,205,678,205,336,593,000,943,862,452,339,430,860,281,467,
392,187,566,598,477,416,961,782,864,087,511,688,794,442,108,586,171,520,869,
342,849,101,233,691,415,348,300,244,704,629,589,339,037,023,862,530,057,859,
363,519,720,187,023,092,339,011,902,640,446,045,191,345,789,465,620,969,636,
765,761,487,002,898,846,659,034,139,210,617,315,327,225,488,745,243,429,997,
862,126,587,432,634,881,994,376,054,094,595,189,419,823,241,486,218,827,550,
129,633,833,985,306,982,561,337,880,438,252,290,222,473,796,533,334,015,308,
518,998,844,636,602,535,405,292,316,400,668,112,906,498,904,532,977,787,899,
141,512,564,124,049,742,337,464,538,965,884,976,716,521,707,227,549,247,426,
927,540,363,475,532,897,956,139,009,885,313,024,985,492,050,902,140,681,504,
951,721,497,497,038,913,393,490,397,837,092,561,976,111,375,740,472,316,808,
265,465,935,490,200,120,967,107,991,960,935,186,007,167,426,628,400,827,423,
032,574,615,347,903,447,098,417,264,318,637,824,864,735,652,515,104,739,987,
816,997,459,788,096,128,932,955,315,309,065,329,701,534,151,002,839,023,488,
080,495,260,721,992,247,074,157,965,873,345,076,530,160,921,082,280,959,063,
960,831,861,143,357,691,837,466,700,815,354,430,951,164,425,865,185,160,721,
453,174,618,846,592,002,398,077,135,184,176,024,466,524,721,108,841,541,731,
869,168,271,956,753,630,543,609,279,013,503,556,052,446,386,220,166,695,282,
913,293,203,250,417,299,874,318,954,125,872,328,781,696,469,510,996,538,991,
684,369,731,061,719,279,936,365,932,666,862,317,140,905,169,763,824,854,939,
267,148,676,641,768,919,142,565,702,115,451,016,667,461,882,624,317,483,018,
589,222,745,993,020,100,242,298,881,377,300,807,541,158,488,516,472,427,842,
237,481,271,502,648,024,474,144,974,161,919,599,716,883,116,687,104,410,502,
000,902,548,434,449,075,824,376,717,481,477,701,723,158,130,397,893,647,408,
703,310,384,558,290,033,850,969,477,644,528,452,754,682,327,987,942,385,419,
069,680,871,090,877,654,239,946,956,462,418,696,897,162,862,395,006,319,695,
106,256,502,344,173,668,922,910,233,351,811,973,797,094,179,374,279,658,943,
689,657,312,949,886,356,058,957,186,958,424,998,133,909,002,143,975,529,735,
692,749,892,899,881,056,657,282,419,759,002,496,262,699,157,775,706,710,793,
834,349,299,635,809,296,457,495,116,290,735,172,105,877,898,322,105,962,745,
898,982,469,319,959,128,682,747,380,249,251,866,141,708,936,858,031,408,876,
907,671,626,857,395,693,992,883,047,378,685,274,693,658,642,311,537,167,913,
956,962,462,921,987,572,022,751,353,725,319,281,832,386,667,746,795,300,701,
795,123,439,607,863,217,034,973,486,084,066,067,724,314,493,463,600,268,171,
522,598,963,897,493,569,398,252,514,084,899,799,047,428,721,669,193,178,041,
955,040,042,221,366,497,051,220,151,156,503,061,819,117,840,335,218,928,626,
774,062,610,706,615,960,871,248,858,405,229,090,690,527,808,389,045,463,769,
189,298,757,601,380,789,700,425,019,895,702,218,731,258,223,175,489,025,198,
901,804,921,540,994,591,896,465,509,212,726,543,975,359,533,161,317,218,399,
717,936,712,743,242,410,875,571,204,909,014,662,493,539,763,504,508,496,093,
463,790,045,554,500,736,316,273,527,416,235,961,499,662,666,515,501,044,058,
116,550,708,510,976,580,692,701,420,038,314,787,657,128,476,201,028,173,600,
205,408,646,150,086,156,073,482,071,505,425,113,324,470,013,117,632,759,576,
670,605,117,369,429,393,337,907,386,447,395,264,806,949,337,517,715,074,961,
732,638,312,527,344,351,062,420,177,929,078,979,641,300,421,541,927,399,814,
059,169,402,084,376,571,611,570,597,497,893,328,934,676,821,523,538,657,238,
826,740,394,112,081,188,825,705,015,090,242,717,418,657,574,030,781,103,637,
744,836,648,262,111,792,049,054,820,135,628,393,271,160,598,879,020,113,314,
147,340,729,312,602,637,385,251,529,585,648,065,741,458,058,806,605,963,047,
305,626,606,161,372,820,582,068,051,011,722,415,422,172,566,024,952,815,203,
738,243,975,985,722,548,931,738,896,287,537,543,452,163,704,106,760,969,604,
351,146,970,833,389,321,452,079,903,334,192,874,947,274,627,944,479,578,084,
376,321,661,135,709,162,150,133,313,172,221,236,192,372,607,222,458,378,891,
762,609,208,810,917,069,160,941,982,423,735,140,170,980,362,746,625,974,159,
692,934,825,589,072,849,536,422,519,825,649,803,269,679,241,779,621,451,050,
799,944,020,260,505,004,091,825,749,789,152,175,334,619,246,054,876,337,877,
953,623,281,307,510,269,883,187,941,399,291,086,407,202,113,453,208,211,133,
706,629,677,530,974,588,075,397,989,409,828,212,103,722,066,413,018,919,430,
699,469,914,397,423,609,672,815,774,780,154,878,038,579,467,955,075,001,591,
489,464,741,827,544,379,111,300,178,195,615,325,191,955,989,838,030,959,607,
838,259,463,014,151,586,613,758,234,499,688,206,595,395,895,891,305,562,060,
486,505,310,217,305,200,433,103,291,032,778,896,991,961,024,557,744,817,804,
125,315,098,339,368,028,769,986,788,591,606,087,494,142,911,721,640,023,893,
291,219,782,081,014,473,621,828,920,735,202,887,254,173,754,667,817,144,376,
487,416,382,695,583,290,490,525,183,552,304,421,039,234,101,283,689,747,039,
994,162,872,529,682,511,555,673,562,789,795,277,233,675,083,180,855,819,622,
369,475,152,547,979,148,327,784,876,408,466,317,040,847,355,878,306,029,201,
548,107,303,028,457,955,997,425,171,020,517,356,231,208,673,824,704,842,433,
898,698,053,772,137,484,093,727,413,371,679,869,502,882,990,477,464,821,352,
688,071,107,447,866,040,754,473,782,927,620,298,264,342,549,464,370,614,877,
366,860,159,226,577,300,075,199,480,581,819,277,793,347,788,826,145,433,442,
845,150,207,212,583,583,928,010,146,884,220,557,200,890,636,662,047,643,322,
273,010,252,042,474,058,787,714,308,394,198,460,684,164,893,336,704,348,609,
834,062,721,934,966,758,865,112,012,311,891,761,650,497,975,530,695,968,278,
597,373,018,397,584,722,088,619,842,758,338,523,158,568,965,927,227,411,068,
863,556,397,581,822,838,988,625,316,976,958,045,786,413,147,129,829,382,676,
942,591,560,450,319,017,230,005,063,920,591,714,188,337,546,155,995,503,360,
889,577,138,078,993,838,981,035,009,071,328,698,987,090,179,328,374,874,504,
130,902,966,189,942,946,847,731,704,528,191,630,992,778,990,189,553,732,889,
142,656,969,147,363,410,731,870,952,667,965,067,861,956,584,854,238,404,652,
393,975,118,320,934,908,423,709,810,928,025,323,103,163,584,725,394,032,285,
658,164,050,176,601,879,287,870,765,525,596,084,078,592,392,309,913,296,609,
659,864,862,667,111,014,691,877,772,393,751,374,700,566,386,234,352,533,847,
098,376,174,486,873,350,805,322,307,507,378,713,403,469,101,433,157,934,307,
886,923,565,087,498,794,004,122,442,556,159,422,902,495,710,124,639,861,803,
711,629,842,131,250,770,482,969,430,035,766,763,259,229,164,330,566,760,088,
861,132,226,478,340,377,750,498,563,404,550,949,833,349,843,784,330,900,339,
934,370,320,742,637,375,668,039,335,717,995,717,968,050,635,133,583,648,309,
200,313,503,530,021,073,108,720,267,261,910,660,923,166,168,475,090,264,868,
694,642,156,388,676,519,784,034,018,528,582,786,182,539,567,480,290,802,495,
432,191,707,877,325,737,342,001,941,496,868,803,764,681,671,028,359,771,490,
571,012,816,940,205,669,744,097,527,291,202,267,341,164,358,655,099,315,463,
906,250,423,428,578,404,904,221,045,130,402,075,018,765,036,332,469,557,260,
010,585,797,645,000,974,219,812,887,988,840,127,720,609,486,211,404,354,220,
503,361,501,586,324,470,268,543,843,954,557,288,703,690,622,111,780,689,137,
376,326,797,340,371,575,692,185,517,073,169,209,515,142,999,732,761,172,703,
934,737,116,881,665,432,014,145,293,567,442,347,237,830,251,097,930,082,445,
790,773,427,814,925,125,313,987,998,203,433,717,303,153,779,428,428,891,328,
701,107,565,480,134,712,745,631,248,081,157,428,844,530,526,186,667,676,378,
973,580,125,169,508,588,322,656,673,221,133,305,238,200,272,522,869,423,902,
866,368,827,271,953,820,233,847,879,392,981,032,563,135,602,237,593,633,916,
028,657,080,574,739,724,577,148,506,150,071,453,729,148,493,600,461,309,076,
186,543,702,334,754,421,035,613,776,918,764,030,529,984,305,506,334,204,039,
384,413,580,470,203,628,124,240,227,011,593,852,874,639,292,975,772,839,530,
407,635,862,373,603,145,299,897,559,896,310,950,671,537,390,380,521,000,693,
285,754,398,792,467,237,510,028,078,936,892,070,505,927,460,280,585,737,690,
006,143,628,698,022,070,993,437,261,953,659,732,804,855,532,473,147,305,704,
613,485,148,582,855,529,854,558,427,438,052,999,490,664,173,485,848,758,010,
961,716,903,790,302,839,209,380,068,906,619,764,756,104,968,120,917,932,176,
754,162,213,336,857,077,029,830,503,354,621,319,895,611,408,362,201,170,070,
232,841,648,571,471,599,865,993,965,282,625,045,450,722,020,131,510,104,657,
285,840,196,039,076,117,325,673,807,151,411,843,871,277,987,240,808,626,885,
003,537,110,346,795,165,270,872,035,403,217,008,653,313,846,211,135,216,043,
588,268,305,703,674,295,302,451,140,019,119,052,259,785,790,665,716,142,681,
035,810,725,445,507,318,660,586,653,716,352,736,496,589,125,108,745,993,898,
317,939,308,589,279,419,295,457,092,244,326,875,512,143,760,903,757,974,525,
290,491,663,568,181,994,224,604,601,806,384,313,472,004,366,008,904,216,874,
927,663,423,079,166,824,289,530,593,450,139,437,337,417,035,553,711,545,699,
263,644,248,290,264,440,907,171,916,363,524,561,982,966,918,348,177,935,033,
337,731,943,873,109,054,653,124,415,076,576,636,180,327,240,232,430,002,902,
293,298,496,341,597,223,073,073,662,977,858,442,657,175,550,998,574,132,411,
123,804,841,550,244,641,128,299,597,371,980,774,086,538,353,007,034,849,180,
125,522,357,048,951,081,757,484,821,320,668,575,979,247,876,533,380,173,553,
600,041,314,557,216,149,404,271,461,260,242,793,815,797,759,938,138,713,206,
167,190,148,785,506,106,215,196,527,891,226,234,386,865,509,222,350,191,082,
404,900,564,633,331,339,351,177,285,658,381,862,313,522,684,592,102,475,335,
082,841,842,137,097,031,441,905,714,206,272,668,194,103,262,073,251,336,300,
443,230,209,434,140,778,625,352,593,817,593,767,187,397,641,411,956,587,083,
764,798,397,759,190,555,902,835,389,683,985,651,892,287,042,702,440,713,445,
982,914,536,855,028,244,174,497,807,429,290,486,387,581,513,415,495,392,404,
838,867,337,412,160,130,534,017,090,218,212,371,987,347,212,233,551,179,639,
655,733,615,283,872,613,559,978,572,185,747,654,970,295,329,766,009,864,475,
497,781,085,353,828,594,750,511,876,230,556,871,629,505,376,647,242,655,322,
099,573,641,300,097,679,128,686,019,814,046,158,975,161,412,867,828,294,622,
673,218,424,709,537,598,894,972,360,243,228,043,736,393,161,724,749,619,366,
819,586,502,493,064,156,678,571,030,832,449,943,369,202,398,570,500,200,943,
130,651,992,602,803,861,245,954,977,480,394,221,098,227,902,404,858,876,839,
248,969,304,188,716,932,064,567,223,065,311,946,570,944,369,740,111,661,910,
997,923,063,825,266,872,496,539,047,895,724,689,950,561,879,326,346,801,796,
865,333,119,751,037,475,573,678,092,397,925,923,177,568,044,033,349,985,540,
598,909,115,699,920,347,616,558,361,878,743,826,313,154,948,221,445,196,489,
649,191,902,301,137,789,264,903,168,979,221,325,169,219,820,302,502,922,641,
346,028,497,007,930,790,846,908,316,783,081,321,808,578,509,203,846,334,110,
439,173,483,025,454,676,239,075,230,873,692,862,796,553,730,939,485,308,328,
340,035,157,692,033,497,583,614,811,025,032,128,373,329,922,407,420,000,135,
025,495,741,497,722,941,685,837,642,481,488,390,840,422,090,095,275,393,976,
543,334,294,535,845,232,518,502,493,154,923,184,108,372,993,251,037,000,776,
540,073,493,706,457,730,329,195,421,733,642,642,767,846,206,551,083,336,151,
384,870,320,567,102,777,356,806,857,046,169,247,966,844,766,844,374,469,370,
282,721,589,672,671,224,969,677,201,148,872,620,856,043,547,753,092,907,020,
009,435,258,584,631,052,215,359,985,944,927,076,713,407,911,973,567,542,742,
332,668,258,417,698,100,265,464,634,122,374,496,177,902,032,441,379,010,747,
492,895,180,823,744,393,846,190,814,341,770,112,188,878,188,195,685,219,883,
837,032,612,095,581,508,289,862,299,903,525,572,935,116,418,852,966,490,339,
437,883,550,009,504,272,641,611,559,821,867,010,843,045,159,936,104,231,253,
187,371,954,295,551,982,709,073,342,865,747,150,285,174,474,180,044,403,723,
930,984,004,426,959,251,898,615,304,121,643,261,518,028,635,510,897,025,610,
764,085,018,154,224,844,415,885,330,430,526,294,062,001,812,743,388,397,583,
183,235,775,855,235,189,716,752,317,680,762,815,005,071,442,548,980,909,595,
482,644,083,592,272,702,226,999,254,286,066,910,182,518,641,987,042,719,950,
972,302,493,884,660,387,020,727,474,390,267,687,996,884,107,155,126,156,628,
035,748,072,211,976,065,103,046,915,195,704,214,257,022,721,240,732,184,221,
399,028,688,704,651,140,385,269,932,405,007,446,033,601,776,842,700,694,398,
585,057,018,738,956,207,678,563,148,690,979,557,790,956,345,243,159,619,772,
310,108,796,207,794,631,241,983,195,949,681,234,502,911,472,582,972,495,070,
679,106,548,631,371,155,773,856,814,554,266,375,206,466,168,416,634,268,836,
660,945,779,408,303,529,818,082,076,127,941,908,467,986,650,245,781,744,943,
236,721,492,525,175,907,891,133,197,014,193,893,801,167,039,168,120,784,761,
856,076,343,206,022,730,044,544,053,046,270,660,926,146,402,849,849,815,258,
115,070,116,371,475,566,337,331,437,982,637,943,877,144,020,908,359,944,436,
855,172,278,725,792,863,145,649,780,417,923,204,882,577,146,269,418,594,484,
208,365,595,302,957,349,159,968,961,819,637,085,061,602,629,134,278,207,806,
983,217,805,186,475,852,025,767,233,478,769,077,577,795,241,219,016,509,735,
889,695,418,691,415,453,946,613,432,623,423,551,814,605,824,037,249,012,389,
828,950,061,124,634,404,176,306,073,854,823,673,323,795,386,951,192,021,825,
164,614,581,985,110,285,746,974,845,030,806,179,170,688,253,659,705,381,480,
787,419,614,497,426,622,090,889,561,043,894,138,824,513,090,143,045,975,810,
575,353,062,689,210,131,715,615,351,946,551,448,989,158,257,000,585,200,558,
302,440,985,041,803,003,236,899,242,611,130,939,685,910,169,389,902,795,535,
723,127,992,176,689,984,888,913,677,497,448,816,729,195,117,473,221,938,127,
193,742,344,975,989,320,990,453,328,862,362,081,286,629,545,972,575,210,714,
802,454,446,825,057,903,096,804,786,583,116,504,948,922,098,600,336,333,209,
407,642,633,984,114,626,267,155,540,413,030,118,993,307,556,981,297,294,387,
322,757,825,622,478,365,112,957,699,747,767,067,606,108,120,752,879,242,096,
311,491,368,051,594,683,528,245,511,189,855,747,532,759,032,090,303,716,192,
347,609,445,870,134,131,944,800,608,182,956,843,526,277,271,532,411,855,415,
104,441,319,261,737,072,249,340,318,902,460,106,752,774,954,885,547,578,857,
031,619,184,315,223,027,662,063,454,100,520,280,389,983,065,055,344,193,174,
932,252,669,194,829,657,200,960,722,216,174,433,853,446,292,593,520,679,015,
597,171,775,463,304,768,154,398,756,719,113,152,405,254,761,792,108,750,366,
480,199,394,887,982,185,269,760,525,626,302,602,897,993,214,550,559,654,115,
746,513,147,693,518,481,914,546,402,502,921,646,806,602,380,773,574,348,234,
020,649,662,244,060,512,851,760,926,303,697,749,071,946,108,816,687,317,300,
747,670,284,697,254,160,426,694,017,592,671,182,728,610,289,578,676,405,260,
823,473,729,364,059,910,104,624,249,930,263,190,905,917,900,125,815,269,029,
733,296,564,843,923,582,946,529,955,340,640,413,570,438,526,909,133,687,295,
162,584,005,111,570,778,278,011,802,026,598,419,721,869,043,906,928,271,583,
532,365,564,674,429,020,821,947,003,074,101,720,494,565,105,169,747,640,535,
087,498,986,982,850,166,504,434,869,993,640,215,201,466,126,198,196,573,854,
379,869,187,094,153,691,984,733,338,008,703,623,260,557,362,507,019,701,585,
664,652,329,097,626,361,669,869,742,735,052,055,814,644,191,137,377,372,174,
829,327,036,875,446,277,828,042,633,743,738,436,996,432,108,152,353,503,712,
459,061,904,148,788,188,172,132,939,752,486,391,885,426,100,843,759,263,423,
117,281,342,071,561,873,952,454,420,108,938,671,068,740,200,278,998,164,062,
029,805,170,087,634,417,348,252,370,406,496,906,936,411,146,487,165,268,606,
200,123,305,568,790,441,502,894,383,521,881,746,565,518,225,900,223,870,757,
468,251,243,373,838,036,037,255,524,382,773,503,698,487,003,669,194,060,815,
756,764,091,331,492,793,844,780,070,209,001,153,821,433,087,936,202,475,216,
876,983,564,536,633,470,946,249,167,438,840,290,274,503,657,155,252,266,148,
893,418,040,273,825,962,272,012,018,943,161,450,276,269,493,901,727,220,054,
110,217,804,200,277,190,208,386,410,230,317,728,220,890,416,017,834,425,152,
769,196,076,380,375,542,740,377,261,570,201,102,400,825,870,621,879,370,917,
354,002,433,806,839,074,987,645,175,029,204,733,439,689,800,790,568,469,820,
175,051,272,524,674,691,042,758,423,792,489,566,949,063,799,097,630,430,918,
841,332,300,098,207,096,982,174,985,891,118,971,703,093,331,801,032,836,736,
341,929,328,289,726,555,320,569,014,511,682,918,770,815,150,095,471,704,098,
313,451,731,649,844,503,741,887,367,494,346,900,095,905,375,565,438,985,658,
416,117,400,511,950,784,388,603,753,723,103,603,765,210,372,713,886,405,685,
812,681,803,841,768,498,174,775,624,666,298,931,270,714,149,739,730,180,767,
001,444,290,462,141,615,713,100,063,568,875,253,018,760,852,268,078,910,506,
790,062,588,826,732,315,608,922,214,545,154,736,122,082,955,699,303,922,397,
002,480,411,426,081,440,256,511,465,722,431,785,149,031,110,931,913,957,763,
210,431,457,857,760,805,700,642,030,799,489,912,127,368,819,063,715,844,246,
209,628,657,199,481,841,474,455,787,643,498,196,596,469,267,845,103,537,330,
312,861,623,662,967,344,381,041,850,457,720,178,761,966,012,592,846,432,861,
553,168,544,412,223,875,745,033,851,451,353,867,722,327,025,612,330,827,663,
381,287,888,048,254,905,963,462,336,532,784,549,516,672,654,343,990,617,993,
560,001,940,248,043,493,743,904,079,486,832,690,068,858,207,777,724,045,654,
288,575,390,855,894,199,994,835,965,061,812,227,331,877,958,542,834,357,838,
278,432,864,523,641,642,388,320,737,483,377,748,482,658,854,601,543,841,318,
140,340,533,197,932,330,807,009,692,126,680,129,779,180,128,661,306,099,489,
180,488,574,681,594,555,298,887,216,003,039,268,168,578,325,506,764,030,971,
425,624,781,174,684,186,803,965,826,899,104,563,681,371,701,999,371,371,122,
107,072,063,961,530,340,106,876,774,931,351,774,068,964,312,841,430,493,799,
590,023,920,018,222,668,873,735,835,387,821,290,818,769,109,526,246,829,023,
052,202,022,185,633,165,932,933,532,231,370,100,074,361,325,288,773,026,760,
799,155,535,421,168,432,993,342,492,801,610,427,668,822,982,704,751,289,969,
069,353,047,630,703,317,767,358,730,612,490,376,451,476,252,273,318,193,567,
047,198,928,476,353,012,102,827,487,884,646,133,529,499,732,194,720,985,450,
814,417,749,380,811,283,620,147,252,367,281,235,625,629,686,907,158,294,526,
508,021,538,157,468,931,526,542,604,973,628,074,007,714,103,473,489,519,992,
829,757,020,576,851,730,185,250,658,813,522,418,496,167,566,527,841,372,520,
172,727,615,439,683,721,824,413,250,530,947,288,318,671,221,551,675,435,053,
135,470,649,467,201,732,487,356,380,990,633,931,830,271,782,479,536,054,414,
991,549,010,016,538,553,972,387,002,836,676,845,609,722,763,613,023,494,831,
815,283,588,398,813,661,864,149,285,200,482,900,144,727,714,171,025,191,010,
173,153,683,545,224,826,836,860,019,818,084,936,326,819,682,312,020,510,496,
978,998,466,631,625,720,625,378,439,089,149,152,534,139,636,539,652,419,914,
996,004,599,825,104,741,217,893,627,037,531,080,324,744,675,897,838,370,903,
860,773,317,439,777,268,531,429,577,599,383,875,028,366,317,584,997,587,843,
780,822,638,468,504,446,212,900,944,695,685,450,990,493,755,329,194,175,517,
794,891,529,192,207,365,689,575,233,494,046,461,099,281,730,121,504,158,620,
811,543,663,158,978,033,006,643,576,324,331,188,534,591,748,766,142,447,201,
972,508,993,089,134,331,533,433,506,176,354,783,963,878,026,426,806,551,945,
185,921,296,481,582,557,759,782,891,571,684,932,898,706,097,168,145,853,297,
184,219,576,453,792,144,333,429,582,134,049,401,830,394,543,731,554,622,485,
784,927,910,093,302,375,548,524,704,079,439,495,111,183,433,535,141,506,136,
118,663,725,525,643,222,799,653,307,569,624,941,919,101,979,019,765,338,486,
492,616,898,164,234,345,941,092,008,348,353,266,088,473,427,280,847,074,561,
533,927,677,050,906,691,407,711,000,889,873,522,231,519,753,230,363,070,973,
305,544,607,768,871,140,892,496,306,451,449,217,937,596,476,142,654,357,406,
407,144,567,921,905,467,615,817,704,463,906,773,340,260,721,947,216,996,466,
229,076,212,350,284,522,181,993,917,546,616,631,486,100,911,582,078,218,633,
935,803,244,298,364,492,631,168,800,397,234,371,410,921,621,071,666,990,783,
197,083,372,334,186,860,684,628,541,066,808,776,498,931,683,594,748,841,784,
431,135,780,210,809,839,758,657,519,357,343,313,660,064,426,960,600,280,105,
361,659,650,101,552,382,624,635,878,915,244,957,761,829,513,968,343,729,335,
087,839,812,956,303,611,865,771,746,110,573,759,232,039,599,037,843,731,485,
606,272,643,208,375,145,195,074,940,622,112,141,057,182,959,392,934,402,883,
514,420,027,275,393,701,220,887,497,619,862,641,969,640,151,479,450,057,273,
732,343,965,104,822,040,006,448,651,756,149,375,715,037,114,801,300,591,099,
331,481,268,593,760,487,516,936,840,418,222,051,469,250,209,236,107,408,974,
874,943,382,579,235,155,504,534,579,963,434,791,491,533,166,311,419,419,471,
701,204,878,208,528,822,003,518,443,344,852,563,957,027,197,923,833,067,437,
145,320,005,204,564,539,976,291,888,290,900,108,120,588,906,360,256,918,391,
398,612,063,349,762,985,786,322,060,420,956,885,189,169,056,160,848,041,877,
266,700,620,142,280,626,501,138,027,361,698,986,442,847,961,755,437,295,982,
289,602,928,348,885,001,091,548,323,386,953,513,207,432,884,080,802,705,234,
708,105,903,850,909,749,770,161,205,301,638,541,015,754,368,256,898,083,491,
428,413,371,359,966,669,637,756,986,162,057,491,609,617,543,263,180,912,560,
633,702,095,897,685,358,181,882,817,446,343,675,289,723,903,638,472,213,193,
488,380,528,315,316,774,980,505,560,374,303,736,812,046,515,089,237,926,930,
963,351,830,926,342,828,755,446,505,587,523,153,143,979,092,991,131,617,044,
284,778,824,165,246,043,187,357,367,524,241,185,790,572,756,184,495,197,698,
879,148,515,684,636,278,228,626,181,139,921,096,908,301,859,973,621,636,789,
370,675,177,379,149,795,958,033,557,190,776,975,684,325,855,979,567,900,956,
062,941,840,659,130,368,849,953,901,473,879,637,674,219,451,517,285,256,156,
449,280,235,669,723,211,825,330,090,490,382,256,831,090,008,580,062,000,240,
914,722,103,844,083,726,392,570,319,388,233,951,973,336,746,847,290,036,301,
358,346,375,480,592,268,394,818,795,877,552,990,418,660,665,315,882,359,616,
399,947,534,053,638,253,236,779,773,878,716,586,237,244,005,031,445,207,974,
707,975,833,531,875,287,977,125,545,904,793,846,282,322,933,321,667,502,621,
226,268,966,368,533,190,166,943,659,690,515,302,623,469,066,679,798,352,387,
986,153,474,046,197,580,051,258,416,551,330,266,089,609,284,974,038,853,725,
091,138,652,029,574,967,289,684,208,658,380,957,174,090,525,878,189,539,007,
232,744,053,581,710,754,691,758,627,795,378,162,622,365,942,464,000,170,072,
429,664,932,147,809,278,338,387,536,492,517,335,830,882,994,390,981,354,755,
492,719,511,058,759,074,703,234,160,760,852,660,515,276,873,759,403,011,961,
721,695,567,286,450,063,300,635,330,639,397,706,993,972,484,083,691,492,904,
493,060,302,017,048,687,663,268,328,653,387,607,626,548,177,158,859,700,828,
611,750,383,867,240,353,237,004,976,382,869,881,126,833,585,724,016,778,328,
582,240,075,263,708,054,523,488,525,181,514,424,888,070,967,267,872,108,528,
955,196,563,651,570,345,174,136,566,499,149,724,548,033,461,504,456,016,841,
338,049,189,791,494,271,732,073,320,448,359,517,709,787,640,200,072,204,703,
503,037,834,077,152,184,842,536,549,848,988,598,026,532,168,272,640,671,469,
608,526,250,747,904,212,116,827,415,767,313,305,699,559,525,185,698,666,822,
156,230,071,288,112,780,345,956,306,865,960,608,090,145,172,295,825,074,867,
254,011,421,539,977,597,231,220,177,958,208,035,173,424,399,017,977,609,055,
457,395,205,137,762,098,510,820,295,846,828,335,542,195,607,655,404,862,415,
947,726,608,851,257,385,624,094,500,331,774,653,146,395,105,390,930,042,824,
610,297,125,096,749,802,203,908,840,231,096,800,567,298,707,843,972,214,695,
187,944,242,136,709,182,397,392,295,370,646,173,211,771,626,440,008,319,293,
187,798,160,556,036,234,412,206,300,574,258,658,876,421,166,779,812,634,041,
588,923,916,914,247,056,904,074,974,174,987,073,862,553,951,166,030,798,994,
834,618,190,971,596,647,788,554,522,679,150,844,558,687,816,434,675,678,463,
762,631,074,718,755,835,725,014,680,753,713,870,221,138,785,548,886,087,227,
675,545,963,719,725,833,073,536,876,856,959,352,264,497,046,203,192,948,639,
712,667,132,768,907,140,209,906,092,064,182,568,391,940,973,799,209,115,667,
369,046,686,562,724,526,289,755,647,593,145,981,413,615,910,285,113,385,677,
733,089,800,114,387,091,891,580,771,387,626,077,376,785,851,953,497,496,820,
193,260,967,909,725,985,544,130,423,895,442,503,905,607,214,119,974,483,319,
719,773,334,513,150,603,690,828,602,290,921,020,737,113,765,841,023,085,267,
331,796,904,019,860,500,723,143,326,561,844,068,346,360,347,711,501,049,142,
076,891,927,086,976,731,423,520,314,012,137,987,719,046,716,762,580,429,393,
283,782,145,373,755,789,199,429,263,927,063,554,542,780,346,223,442,895,750,
918,876,162,312,911,418,135,723,189,796,961,369,707,893,805,617,046,654,347,
139,017,221,760,306,119,454,970,797,267,209,208,728,359,139,126,760,920,038,
395,388,088,438,650,645,416,411,586,119,739,770,391,034,343,890,512,452,414,
534,554,066,244,730,291,274,161,910,251,280,566,964,643,266,170,218,594,439,
284,483,320,941,675,070,403,562,858,474,544,421,299,713,357,772,714,638,444,
897,537,228,014,651,681,540,017,569,977,465,229,533,837,636,929,087,341,810,
211,993,477,741,296,613,140,035,360,115,494,553,365,007,628,965,277,190,851,
639,758,487,978,054,901,349,392,998,178,313,737,806,335,103,052,158,587,646,
239,030,620,976,416,398,863,987,050,628,499,619,895,264,493,651,022,622,328,
023,572,977,832,087,915,290,261,825,284,021,450,064,182,231,287,137,378,728,
766,402,468,336,111,899,912,113,522,014,473,504,186,973,117,115,796,266,300,
974,346,920,321,724,227,949,056,685,112,016,037,767,184,403,426,259,307,076,
971,508,609,277,851,507,604,476,406,634,205,241,459,678,876,813,577,860,717,
843,219,599,732,351,947,739,261,716,494,980,027,283,121,057,899,097,980,548,
919,739,410,842,389,099,865,546,157,772,029,895,771,960,218,998,605,778,495,
523,483,835,738,691,093,306,215,110,590,825,069,171,388,020,582,945,039,292,
143,962,087,695,842,419,871,829,648,641,997,106,919,725,162,731,394,558,357,
570,520,933,305,688,882,369,016,866,989,018,879,930,558,479,973,323,743,876,
518,911,665,279,709,875,633,173,277,976,324,747,966,067,281,763,732,791,318,
545,089,647,373,832,188,976,207,603,874,304,861,066,622,611,581,688,992,499,
091,158,463,009,102,094,103,918,957,182,566,035,689,636,593,929,918,020,729,
757,431,071,866,553,765,122,664,562,945,187,826,413,776,193,339,127,797,214,
489,722,484,842,375,837,878,034,215,891,039,081,869,483,172,287,006,586,574,
850,779,126,270,487,990,827,721,285,283,066,750,744,233,025,218,983,643,029,
055,197,107,961,727,484,240,846,940,855,023,762,847,098,002,581,057,493,515,
910,106,999,729,613,980,265,328,805,522,225,899,541,828,953,795,643,934,647,
789,356,249,073,138,023,197,143,174,924,738,182,583,870,680,383,841,234,731,
059,752,909,024,354,577,287,875,494,687,420,223,033,309,461,575,970,444,353,
254,183,797,732,820,411,611,035,534,913,178,112,996,738,641,712,369,769,641,
241,126,575,557,889,206,791,649,651,259,659,847,468,450,699,842,687,130,685,
594,739,949,915,657,971,766,141,147,646,316,230,173,229,988,935,758,936,410,
305,876,416,718,949,752,568,788,731,093,427,171,871,928,949,490,821,494,842,
403,328,917,792,881,793,866,893,103,515,372,053,336,708,448,793,104,569,968,
033,496,721,300,749,130,907,265,526,998,702,390,077,448,715,611,250,435,611,
037,802,937,977,329,586,280,896,360,245,654,753,512,957,609,047,498,264,815,
715,247,573,759,584,721,335,225,250,052,736,018,812,901,093,764,136,266,457,
527,922,206,736,643,900,142,913,880,372,630,323,290,786,898,063,775,858,500,
330,097,708,459,180,968,701,626,645,446,622,855,481,829,959,794,302,873,121,
021,541,366,974,564,704,618,360,120,851,717,708,707,023,677,776,747,837,951,
074,471,943,053,108,736,012,416,946,954,518,224,165,843,197,330,586,351,434,
150,551,902,020,969,376,726,220,224,869,873,575,859,520,337,551,784,088,225,
521,777,081,432,357,889,082,820,017,089,578,382,993,008,897,259,270,366,480,
433,173,703,747,118,009,031,171,988,046,908,656,132,414,273,266,471,896,087,
477,952,737,541,575,936,798,189,868,329,939,200,687,957,615,072,642,448,124,
218,760,445,035,127,397,329,606,508,331,007,714,774,181,189,600,838,412,340,
193,450,953,418,942,869,564,296,150,675,872,499,930,564,887,056,257,610,627,
553,528,312,612,160,465,394,959,582,649,310,514,712,621,162,235,858,842,613,
205,871,494,660,965,875,178,997,782,608,884,440,931,603,090,985,310,968,607,
471,684,295,110,035,643,232,367,764,427,123,638,733,613,279,543,094,803,266,
946,347,695,210,758,846,096,640,683,625,175,491,643,664,970,582,903,446,310,
658,934,974,878,370,159,849,367,031,134,951,166,196,720,572,661,087,630,120,
066,695,174,387,490,327,223,164,327,460,543,615,771,790,535,207,078,253,198,
143,355,800,396,032,089,115,854,223,996,675,419,292,477,935,317,565,396,889,
994,516,751,500,624,600,749,279,432,271,186,341,742,899,289,954,546,446,066,
177,479,167,731,003,018,575,975,481,535,046,119,031,576,680,977,886,272,813,
474,849,157,052,819,004,447,776,710,608,994,854,277,621,184,192,220,557,491,
510,095,997,929,659,930,117,174,747,389,274,499,454,551,267,956,731,511,353,
023,724,434,980,378,348,593,432,158,965,541,872,494,788,128,202,936,524,353,
850,470,968,665,355,047,910,396,159,275,289,195,905,074,287,224,301,826,797,
895,887,681,790,278,128,595,917,700,063,179,406,914,064,570,327,871,468,026,
212,169,108,285,309,855,636,882,463,007,121,661,778,819,256,565,964,377,199,
621,435,281,880,387,950,292,026,848,542,581,490,544,281,277,268,440,622,480,
485,354,202,917,021,851,291,937,733,409,967,904,046,271,557,737,172,749,596,
924,607,588,606,327,633,119,317,022,641,293,961,380,919,063,862,505,439,654,
630,816,269,909,150,881,306,918,691,689,852,383,425,930,666,791,078,392,201,
385,244,948,955,864,727,322,286,569,857,879,521,954,396,529,473,449,380,565,
831,109,775,959,698,977,692,011,996,143,880,443,603,607,981,023,267,103,464,
394,491,985,464,561,434,424,041,332,303,182,506,631,108,355,399,806,685,094,
947,421,275,496,560,748,284,157,118,046,727,831,888,213,538,788,053,083,884,
012,100,906,475,908,760,009,010,366,627,629,442,814,037,460,005,366,432,812,
011,265,610,875,753,166,823,809,805,085,939,110,750,474,499,719,475,512,822,
595,604,343,925,873,241,921,908,087,540,651,131,523,664,321,160,566,224,687,
143,974,996,266,471,091,270,989,136,346,176,853,716,068,930,988,495,464,605,
997,357,675,406,762,737,917,993,169,022,532,189,269,525,274,216,171,936,814,
799,003,370,786,765,968,578,223,426,951,088,899,502,183,099,509,819,491,630,
962,787,177,573,369,868,899,034,032,255,319,189,448,254,269,770,177,593,263,
269,011,157,541,540,114,025,075,808,515,112,026,282,672,396,663,348,847,904,
478,056,374,826,260,261,954,185,990,968,281,650,818,970,032,206,747,217,131,
003,451,670,490,244,718,748,239,976,896,868,622,009,734,862,754,473,496,019,
119,124,026,274,904,248,926,457,798,243,234,553,748,843,036,194,627,666,612,
356,518,796,244,618,508,424,384,827,721,454,798,317,662,475,473,762,653,872,
313,431,053,926,678,235,066,711,600,136,259,419,050,546,223,660,867,966,318,
081,904,903,877,005,416,787,288,783,076,847,965,912,030,586,495,706,595,739,
729,667,985,539,858,589,775,980,252,333,496,938,546,435,861,057,326,580,230,
041,715,406,847,770,359,126,298,592,510,557,988,553,516,070,162,888,563,276,
720,838,691,113,114,769,283,165,745,830,697,957,023,354,296,065,488,574,147,
673,554,189,078,152,614,765,365,775,883,069,970,316,798,900,873,783,510,985,
840,084,378,434,138,233,040,352,635,380,976,566,796,578,885,075,229,460,627,
751,707,575,683,966,984,878,190,964,675,067,559,613,192,314,250,374,080,128,
332,490,519,739,433,604,752,432,233,599,201,956,512,809,088,462,704,639,386,
505,630,522,535,751,522,247,550,034,114,454,729,998,595,542,309,756,002,653,
641,477,107,014,115,821,388,825,573,870,240,279,123,466,536,879,086,924,690,
829,999,496,944,783,265,161,152,588,215,148,819,670,782,388,052,453,122,181,
168,268,089,909,056,163,738,921,628,050,508,869,599,766,189,175,501,317,607,
945,947,657,948,632,592,937,664,879,417,810,237,941,659,389,761,909,440,497,
145,542,702,184,622,265,266,395,341,666,202,737,135,040,587,696,110,997,673,
779,642,551,140,103,655,869,014,731,878,205,132,282,027,088,117,259,129,767,
921,040,747,703,716,196,768,113,243,518,035,423,930,756,795,686,153,017,447,
411,192,112,953,905,569,332,574,644,142,510,516,935,575,337,484,506,032,677,
155,406,460,890,113,583,778,896,456,293,606,464,027,769,002,652,719,649,945,
027,739,459,085,880,119,433,556,091,763,408,060,331,600,190,206,231,732,315,
500,074,005,377,777,614,303,776,432,968,704,392,863,402,179,407,565,506,069,
071,441,612,600,665,053,317,407,734,304,089,937,122,571,830,467,700,734,671,
615,456,380,626,994,838,452,607,169,639,220,624,938,099,259,139,540,096,689,
126,766,944,271,414,710,806,403,397,675,858,312,686,502,612,146,273,910,591,
046,908,051,889,244,574,348,643,519,435,698,506,013,524,100,168,151,940,684,
690,409,067,698,994,809,671,533,876,222,134,258,275,554,279,893,358,958,737,
605,612,130,477,016,897,448,605,921,664,100,887,616,544,336,979,576,184,828,
951,783,243,135,078,634,269,797,191,926,397,175,861,081,031,872,438,032,163,
460,498,677,468,801,942,076,097,781,724,141,619,855,438,653,669,054,962,552,
182,427,257,873,437,085,141,510,365,342,124,278,943,191,813,039,131,499,478,
768,467,564,018,653,880,594,797,458,642,129,905,747,334,175,902,038,031,911,
325,904,187,104,385,373,047,643,701,057,044,570,439,828,090,208,844,028,124,
506,755,983,365,354,085,686,516,210,584,377,704,954,587,104,204,399,023,244,
053,617,658,185,037,513,997,163,590,535,426,958,383,697,273,279,038,549,399,
689,918,274,905,807,174,185,627,812,709,379,201,883,213,726,920,581,323,311,
025,501,672,670,803,836,077,268,614,938,358,259,282,572,852,757,355,007,194,
009,207,563,974,227,902,826,628,796,314,664,960,366,256,455,834,511,352,141,
311,693,265,728,331,978,118,003,374,559,233,603,706,303,729,479,948,476,741,
303,891,093,428,861,704,798,323,352,460,672,024,937,071,250,472,920,884,353,
751,193,253,476,985,943,884,823,627,917,508,276,576,642,245,013,940,645,763,
266,020,793,321,002,536,451,492,275,863,832,926,834,605,340,249,900,420,469,
162,844,548,321,595,491,084,568,369,485,060,915,305,599,449,997,675,114,845,
688,590,583,401,400,367,343,825,971,947,825,491,766,528,814,397,780,388,071,
755,655,176,793,978,046,413,467,375,260,135,427,412,793,664,362,831,550,370,
377,552,812,885,730,953,047,898,141,157,263,306,921,812,292,863,033,005,907,
402,335,058,783,438,175,688,113,262,846,963,167,659,902,665,618,131,417,430,
882,996,410,161,813,589,635,661,009,337,664,067,342,126,937,669,751,774,306,
765,598,050,938,276,882,361,354,080,130,990,689,578,299,501,621,092,057,495,
109,482,026,267,178,219,184,603,298,473,605,600,830,008,385,701,043,684,472,
748,409,879,358,673,131,124,251,436,601,124,371,093,416,407,126,480,651,413,
361,345,849,413,046,728,779,280,454,506,208,718,946,091,274,716,827,731,146,
506,582,801,711,618,856,276,507,059,033,248,053,993,539,280,144,649,055,883,
680,263,168,094,327,972,118,766,960,925,768,822,766,045,992,906,786,036,176,
199,754,423,214,828,908,592,682,909,757,971,930,277,139,124,318,164,182,057,
980,345,018,808,336,037,563,946,902,257,583,680,048,437,339,526,156,242,735,
360,223,639,331,486,850,834,678,455,255,972,787,651,996,183,118,216,366,370,
075,130,664,930,020,487,264,305,766,577,173,676,167,317,233,070,107,488,398,
710,681,152,936,067,778,159,413,273,415,171,335,223,473,864,664,213,345,080,
412,151,307,098,553,789,667,619,291,593,748,264,166,797,695,217,356,994,158,
295,821,978,769,756,414,591,627,336,719,596,620,683,572,760,475,699,310,989,
402,716,241,893,247,302,252,542,743,007,315,095,397,263,550,959,539,522,686,
492,847,938,757,968,227,654,919,046,848,299,383,780,172,226,406,935,761,505,
736,706,187,759,991,219,701,270,529,167,060,556,790,263,900,056,317,094,656,
194,857,455,761,454,826,807,463,222,401,273,528,079,654,660,130,725,487,543,
021,185,677,609,905,747,813,488,376,392,413,439,483,508,903,280,101,098,630,
716,844,858,318,558,493,017,486,019,259,311,478,495,680,099,919,354,172,167,
504,335,796,983,162,570,773,064,497,969,831,691,336,508,682,413,858,837,849,
548,825,761,167,710,257,783,692,813,489,984,883,419,650,758,764,765,318,537,
316,388,338,336,960,750,697,172,888,360,834,099,081,975,653,736,747,192,359,
384,035,610,358,508,486,203,010,305,891,938,991,498,275,971,509,982,353,291,
041,010,567,037,273,935,469,657,587,108,783,755,310,930,973,248,864,108,676,
530,408,197,580,942,963,151,545,174,018,054,711,934,080,249,146,354,715,946,
791,414,403,943,835,783,326,729,224,752,574,881,197,349,765,233,280,811,001,
116,175,032,011,677,810,965,737,112,967,741,445,342,918,579,044,720,062,708,
330,893,041,189,931,313,706,632,800,109,116,922,816,156,582,753,739,385,265,
065,403,902,967,679,491,919,770,888,486,584,955,869,510,534,959,775,336,964,
372,393,145,799,941,386,426,476,375,678,697,778,868,033,844,273,207,379,823,
256,856,982,694,412,040,149,722,025,728,801,274,046,539,158,799,011,136,170,
734,131,173,150,807,507,153,365,710,562,045,978,527,539,182,835,466,852,360,
012,188,618,958,279,689,701,399,790,405,589,816,213,429,904,171,524,687,309,
489,936,141,706,206,098,097,056,174,173,527,355,064,293,213,093,365,264,602,
528,488,961,524,582,176,136,081,858,225,773,682,673,128,708,034,489,694,952,
805,467,045,434,675,102,826,357,514,698,710,995,124,534,481,167,929,294,017,
672,640,305,818,776,076,218,468,780,632,163,529,253,047,318,191,314,181,302,
792,918,048,200,033,225,596,455,486,860,199,327,090,051,113,097,684,613,719,
354,188,880,413,095,836,519,816,992,354,487,098,978,525,534,764,439,649,119,
798,170,285,131,095,949,663,708,166,862,801,549,149,185,696,266,461,799,847,
210,525,955,990,696,840,458,060,218,193,261,183,607,564,369,313,943,771,612,
432,512,749,593,929,807,069,310,199,568,572,036,389,998,428,286,353,491,764,
207,179,543,671,449,886,242,126,227,037,798,429,271,304,396,197,915,610,186,
124,317,484,889,426,332,095,219,585,185,523,709,892,996,714,520,299,798,978,
452,044,844,446,524,658,613,695,419,730,829,607,984,800,294,127,263,761,955,
660,815,046,112,483,709,552,323,236,776,671,789,946,942,030,411,786,983,419,
994,407,703,155,662,330,564,732,757,236,672,128,213,275,961,678,989,078,148,
197,274,585,370,569,554,494,130,700,766,729,257,494,974,411,054,673,665,741,
354,879,587,923,507,859,843,128,225,466,918,342,321,117,862,028,716,800,576,
282,443,024,047,650,022,463,440,996,517,228,880,215,740,934,224,825,325,168,
725,209,862,538,744,154,643,485,459,865,371,913,111,688,746,398,527,807,265,
172,773,809,681,296,268,750,295,784,209,810,451,355,373,521,028,038,280,681,
232,157,890,265,217,257,172,516,048,586,853,534,019,024,438,969,777,861,386,
793,095,937,834,832,413,267,014,155,415,432,429,503,703,206,256,158,645,767,
141,520,128,759,254,250,868,342,776,685,719,085,297,663,866,345,082,677,170,
354,715,578,382,007,386,806,868,846,356,839,343,099,581,841,312,095,511,938,
499,701,316,375,797,294,369,178,108,544,854,476,405,716,533,897,369,139,872,
640,709,274,434,043,139,158,049,087,767,862,051,317,183,831,067,641,739,372,
802,675,679,254,586,497,448,835,182,024,342,085,250,505,161,836,173,571,971,
286,174,666,577,165,028,236,834,826,268,948,957,400,015,225,580,168,441,017,
871,457,680,109,594,147,094,028,429,440,558,717,234,573,435,544,807,404,699,
112,630,411,454,719,690,513,510,721,283,253,424,078,206,323,491,568,554,576,
938,190,912,531,613,362,909,983,472,920,882,440,117,964,770,447,434,139,654,
035,573,211,240,299,921,083,542,322,978,105,371,441,041,181,549,978,437,900,
367,748,310,710,816,703,808,317,619,331,277,847,784,505,653,309,652,334,281,
720,623,936,351,991,169,449,390,846,006,831,999,213,637,346,356,034,049,503,
697,374,044,753,576,416,273,403,989,504,570,595,002,682,350,295,664,623,255,
851,381,790,837,787,410,165,606,296,942,248,719,444,932,134,825,961,107,425,
991,958,569,737,381,242,584,440,607,424,362,915,306,787,715,698,597,168,883,
159,170,005,020,156,690,758,571,383,462,232,723,639,315,166,725,189,467,130,
836,992,214,737,054,506,780,585,271,510,737,563,058,043,704,598,013,529,138,
133,343,082,021,927,425,238,274,918,395,454,027,906,498,127,500,580,304,217,
232,263,983,356,209,451,510,311,517,473,184,776,752,114,723,991,797,646,653,
529,816,223,421,792,769,467,854,341,709,579,730,059,213,096,480,524,002,930,
991,057,455,465,449,883,402,072,533,174,617,523,782,390,444,897,737,993,125,
561,128,547,187,588,616,779,243,744,641,837,303,575,847,500,163,366,749,010,
514,269,545,333,538,019,804,690,240,968,364,172,873,428,216,877,915,065,198,
986,681,093,963,952,331,197,345,649,980,890,593,098,191,834,086,452,797,809,
802,831,727,063,091,088,866,168,868,902,502,402,062,356,540,375,971,419,743,
818,545,521,569,818,837,159,195,220,795,132,734,287,818,281,434,942,811,868,
453,734,477,973,020,728,910,248,678,194,936,793,668,526,212,751,917,520,417,
750,748,200,602,760,876,789,702,873,510,119,947,851,089,754,406,035,064,854,
879,736,087,562,813,526,226,019,278,312,856,305,233,813,259,898,095,884,421,
618,502,650,769,301,953,252,719,492,191,501,803,830,540,359,029,028,693,015,
995,336,697,825,246,774,353,688,780,662,120,253,374,254,043,898,657,017,712,
552,420,909,080,968,350,388,868,162,677,416,923,017,800,913,862,653,809,587,
133,835,345,494,490,060,288,515,789,201,955,440,183,331,593,289,159,101,860,
305,233,002,125,816,056,305,780,605,041,605,837,557,734,635,249,585,869,811,
949,362,965,179,921,254,216,646,806,915,348,849,606,945,662,924,354,099,953,
326,631,135,865,263,711,444,856,659,857,189,621,405,241,509,643,029,308,853,
563,718,676,386,043,884,995,639,694,540,903,619,776,340,571,860,573,429,623,
269,254,367,161,493,903,529,708,397,142,777,466,837,650,913,388,545,583,562,
180,970,329,601,509,484,887,990,791,403,343,906,368,561,418,597,535,724,042,
403,665,638,615,260,488,214,128,538,741,944,700,779,274,192,026,478,718,682,
264,694,732,879,606,196,468,233,994,854,324,953,938,900,355,347,301,890,316,
699,207,107,335,559,774,500,058,412,112,322,376,625,378,175,896,076,243,009,
358,002,358,567,963,393,073,446,220,246,780,418,940,687,045,993,370,042,355,
314,375,773,261,474,407,619,932,682,543,477,979,936,040,494,126,869,992,757,
625,156,529,544,938,420,504,848,460,783,609,037,149,483,857,533,771,054,528,
580,836,371,151,486,234,693,189,601,412,831,570,435,122,657,880,049,213,425,
705,475,461,968,565,163,366,695,629,423,858,115,237,966,511,030,162,227,221,
934,484,888,602,128,526,082,985,926,381,377,770,501,131,026,212,430,688,416,
672,738,561,969,291,622,468,449,008,963,062,495,639,116,879,856,018,802,182,
197,248,830,018,192,326,413,972,967,327,894,978,497,168,968,874,824,481,028,
442,995,855,238,523,229,767,779,246,703,624,243,052,099,266,641,076,467,772,
302,812,393,185,962,333,740,258,918,014,577,116,243,741,901,752,592,926,184,
477,881,113,861,301,375,312,104,430,193,941,463,962,262,909,978,417,800,390,
877,872,824,722,343,773,092,680,045,890,579,213,522,471,185,264,979,607,589,
239,705,049,081,545,589,312,357,306,433,562,984,945,933,958,929,720,407,939,
490,880,920,361,735,779,789,393,142,167,177,038,878,906,059,892,941,228,141,
689,231,276,846,792,038,183,411,203,278,396,604,844,974,685,769,040,951,081,
375,383,432,094,725,627,661,422,954,668,312,329,246,965,971,838,715,387,403,
288,869,756,311,250,775,510,490,777,469,089,857,589,238,171,285,798,487,535,
851,666,098,683,624,669,641,741,717,809,345,793,856,858,306,108,474,351,331,
837,534,253,081,047,156,145,758,700,248,887,559,103,284,046,292,855,390,219,
120,671,494,618,577,118,926,072,688,701,000,711,847,441,617,077,851,292,852,
689,397,360,443,256,929,093,745,792,638,159,703,065,042,097,065,570,639,041,
576,437,785,717,574,887,427,359,371,197,992,602,159,867,058,360,726,548,891,
072,267,078,806,589,950,501,021,844,624,363,824,977,404,998,470,990,912,290,
543,908,156,363,852,916,028,689,198,362,350,658,310,313,717,481,575,381,516,
400,166,157,994,975,245,063,403,580,465,328,005,932,584,672,552,339,171,908,
340,518,682,767,296,136,628,495,731,988,539,670,477,313,389,356,477,346,186,
580,446,446,280,582,473,737,125,857,017,999,623,994,706,571,013,249,625,799,
771,760,445,201,951,004,591,199,850,155,295,492,812,116,453,632,019,327,439,
187,440,185,211,271,178,462,361,920,524,628,770,850,176,183,349,212,450,551,
705,336,038,392,947,470,204,694,086,705,069,949,074,799,342,579,228,923,330,
291,739,231,119,654,383,964,883,426,425,588,375,189,420,025,151,040,006,656,
797,108,058,943,096,207,790,974,100,172,504,904,312,714,573,220,612,211,237,
592,040,552,639,546,094,626,545,064,825,562,386,036,017,260,405,590,348,089,
012,327,204,590,195,361,046,154,256,531,145,286,463,862,795,816,961,605,053,
278,835,807,939,774,832,436,049,488,488,975,515,708,402,696,951,646,446,432,
518,926,872,268,825,174,796,499,845,538,824,164,579,855,208,919,179,577,212,
423,805,227,103,519,738,577,594,689,689,085,954,634,206,181,816,038,176,065,
335,774,167,995,520,750,650,470,817,176,664,722,492,018,621,219,775,852,816,
821,838,450,482,561,584,378,875,278,650,157,116,638,957,988,042,379,670,515,
228,224,640,543,629,375,859,914,521,766,153,595,701,174,038,097,028,633,312,
608,249,243,400,315,796,350,169,417,848,172,767,305,084,729,877,888,757,089,
557,021,566,628,840,782,397,047,582,315,940,947,243,638,540,496,353,233,875,
059,676,456,518,680,991,599,868,698,314,863,537,354,564,760,339,192,004,924,
998,071,424,379,225,841,534,338,400,506,624,260,566,740,453,247,502,732,244,
256,768,737,395,510,355,762,589,763,859,535,029,880,771,745,288,433,603,887,
560,721,820,983,226,873,787,793,212,966,115,909,473,542,043,100,445,940,801,
756,079,350,061,676,474,200,837,319,683,266,036,465,628,252,417,946,393,388,
825,914,189,022,237,540,797,301,707,817,785,591,428,523,807,336,493,182,721,
771,316,647,773,579,868,785,694,796,249,183,087,926,545,514,888,165,328,970,
728,188,384,372,875,082,025,990,605,107,006,332,811,035,530,930,913,718,803,
338,763,030,596,185,545,698,652,944,768,924,704,961,976,546,050,394,426,286,
506,419,132,726,758,739,048,226,647,890,541,164,836,363,630,105,071,554,371,
423,660,439,918,074,541,657,751,362,343,426,450,348,158,188,416,925,974,177,
097,677,083,478,060,458,630,094,772,359,797,128,264,728,478,653,546,760,065,
406,084,486,222,679,081,976,176,056,421,307,007,757,900,491,169,604,435,264,
685,232,371,678,755,947,613,066,818,728,578,367,356,189,817,157,083,309,179,
617,546,263,442,651,274,930,091,129,998,887,262,747,752,613,035,113,474,699,
150,855,655,842,607,297,838,559,937,579,164,414,951,060,740,015,844,434,622,
773,011,769,988,320,804,998,468,757,664,728,598,547,851,619,863,884,081,948,
295,576,645,179,535,507,087,842,594,559,969,566,629,348,182,577,644,922,050,
033,755,219,214,864,024,553,014,461,059,329,900,081,046,199,292,151,457,280,
927,163,957,785,791,569,066,168,602,746,639,152,080,565,065,468,074,945,088,
886,278,958,459,484,316,427,398,954,629,237,059,100,564,862,795,658,641,238,
081,882,757,492,902,041,771,151,798,632,508,635,169,911,783,170,407,640,143,
853,905,459,700,006,615,726,824,574,496,784,487,797,054,451,944,337,878,882,
845,408,274,122,188,439,659,125,742,208,616,825,965,499,296,912,766,896,513,
495,204,317,761,636,566,926,373,862,820,068,558,445,901,927,954,014,880,387,
245,341,593,996,765,122,987,536,974,104,378,914,711,998,003,844,799,713,482,
438,613,696,449,079,353,981,869,597,897,673,881,664,496,791,548,615,212,810,
385,814,051,989,685,698,754,880,475,279,215,743,030,134,007,445,411,906,878,
874,866,532,343,179,973,770,977,080,823,853,656,736,888,243,276,083,693,370,
315,705,188,984,392,754,725,471,053,519,291,887,514,746,906,491,962,179,464,
916,794,598,447,934,675,308,851,750,118,738,984,692,163,733,359,482,955,408,
588,365,975,925,012,068,260,241,981,720,652,650,495,144,466,914,707,204,281,
906,273,278,559,600,273,113,074,807,323,038,002,317,941,220,259,844,268,625,
016,929,654,984,088,807,998,096,901,799,256,442,177,989,069,723,838,481,928,
882,918,019,474,935,459,584,604,542,081,337,648,392,220,131,549,782,588,460,
207,885,264,374,528,102,680,215,339,059,264,693,096,056,424,424,916,351,457,
276,149,946,208,570,880,698,228,612,226,779,725,425,090,063,988,718,595,170,
255,519,488,648,412,337,343,918,382,065,887,084,433,687,616,623,073,442,378,
029,251,039,323,299,279,031,834,874,805,532,005,105,055,922,860,897,941,542,
788,338,423,629,716,411,382,859,244,451,666,897,810,442,363,442,348,282,322,
806,415,468,519,215,658,389,665,294,096,853,662,198,486,387,616,947,011,133,
623,770,775,687,408,479,871,857,479,288,340,126,941,352,576,254,327,646,756,
047,866,696,787,155,713,349,214,931,609,208,094,303,538,035,076,671,908,591,
413,057,139,721,849,775,571,032,226,099,842,887,565,679,090,444,768,352,331,
880,957,087,919,799,413,611,209,413,365,271,067,835,997,128,214,156,459,448,
181,470,458,228,589,765,909,831,096,191,607,354,261,582,604,319,390,638,509,
316,943,524,100,078,072,804,945,563,525,283,360,964,407,343,599,019,192,910,
480,088,092,872,768,912,253,437,121,216,322,809,323,544,251,799,651,828,661,
835,188,609,078,349,668,118,137,006,410,135,441,783,095,024,964,897,357,550,
456,180,480,879,431,406,128,097,356,962,255,477,046,443,409,988,615,472,240,
165,554,243,774,194,222,214,087,967,669,993,871,963,098,826,804,317,682,745,
013,356,466,756,518,227,985,126,155,763,923,464,707,260,574,670,459,818,224,
743,330,721,374,351,941,919,584,988,681,691,241,171,537,359,997,134,713,946,
981,017,347,074,745,953,716,966,609,680,642,853,019,743,818,631,244,052,829,
403,465,844,653,433,784,760,867,789,054,000,911,003,233,859,348,446,687,358,
290,099,654,625,114,093,063,912,326,345,391,195,414,647,619,348,065,553,049,
300,985,282,862,921,345,962,076,020,807,619,213,045,844,022,055,442,525,331,
521,549,628,540,367,456,482,380,965,053,711,340,593,257,196,449,807,531,333,
954,542,929,677,151,631,616,315,710,892,889,712,017,027,048,780,843,140,292,
063,829,644,487,203,350,883,886,060,370,356,182,653,932,662,101,709,025,956,
964,559,926,499,582,445,716,341,287,602,148,444,599,491,128,581,542,653,543,
612,371,270,179,202,096,513,011,569,339,716,595,708,470,646,672,449,271,776,
622,337,261,629,588,253,381,144,157,624,437,843,332,825,912,640,383,521,372,
783,963,024,816,618,826,635,422,533,455,759,725,816,871,234,925,126,897,356,
769,481,234,459,280,530,610,227,346,218,619,762,152,285,967,303,321,182,835,
175,078,068,649,566,279,518,027,471,431,247,473,521,973,536,029,054,866,765,
538,424,564,395,180,346,896,348,577,155,658,039,705,008,634,077,874,606,173,
827,669,866,778,639,651,948,348,914,509,355,197,291,357,277,832,548,791,266,
745,634,560,474,213,432,724,177,152,546,862,884,472,090,269,416,283,026,286,
366,754,191,680,099,627,799,684,958,780,836,415,690,000,926,086,648,789,867,
053,311,231,187,391,083,792,940,347,715,717,013,841,096,712,515,774,829,690,
218,908,285,411,903,620,277,611,791,080,882,055,562,550,886,171,408,699,675,
465,248,714,960,108,568,991,688,740,682,326,008,146,663,875,796,354,294,164,
704,317,903,562,052,918,145,296,092,807,327,709,079,831,485,096,981,615,245,
913,238,860,535,776,652,846,716,447,393,467,200,361,703,282,233,290,924,339,
569,053,009,663,887,301,531,188,783,494,046,043,826,573,702,872,839,725,235,
995,028,694,568,500,092,804,743,468,411,229,546,266,523,204,390,266,708,106,
675,913,102,806,201,788,645,775,085,065,360,693,443,358,461,770,087,362,496,
588,882,541,936,505,189,692,881,152,104,616,926,694,110,201,440,132,390,153,
271,697,386,015,911,568,137,171,870,920,273,505,440,335,787,385,390,683,972,
876,116,017,927,541,505,964,990,460,754,384,605,541,726,557,416,005,029,220,
945,142,313,661,052,797,174,102,643,581,585,211,484,680,190,459,656,408,901,
246,106,744,691,540,778,870,592,794,913,247,494,509,045,101,670,297,487,800,
041,152,878,785,241,796,100,017,021,427,071,463,142,460,009,979,483,834,460,
559,206,493,731,121,449,735,317,842,795,219,292,068,214,184,331,878,182,911,
983,293,474,353,891,184,630,355,033,985,047,166,246,430,620,070,901,943,499,
101,965,046,874,978,867,734,671,479,998,833,478,043,426,034,786,047,208,561,
854,839,903,328,199,500,626,301,550,976,575,453,728,597,174,467,523,136,498,
138,322,220,446,121,721,113,916,687,043,097,727,375,800,537,160,864,261,669,
316,860,327,896,485,378,570,286,403,997,941,505,034,346,982,074,810,619,367,
764,450,098,637,332,329,972,828,050,386,439,984,876,672,229,899,889,314,204,
538,738,507,418,852,867,788,269,014,091,988,064,578,344,077,721,288,736,119,
456,900,173,065,232,296,474,944,699,703,133,794,778,052,484,977,481,908,208,
655,723,274,860,615,707,953,134,372,355,277,381,108,185,367,600,758,091,098,
892,714,279,056,599,631,051,632,697,433,549,328,342,357,113,847,041,475,250,
584,825,006,337,362,113,285,760,333,533,388,158,585,801,140,858,474,322,353,
444,484,145,670,379,974,994,639,726,079,442,166,700,995,640,839,964,840,938,
171,998,088,230,115,470,757,746,579,087,872,635,020,670,732,475,490,675,291,
088,789,206,388,299,379,286,794,982,979,855,434,291,105,373,186,146,100,678,
575,554,466,725,912,041,181,480,992,770,350,326,798,731,066,479,617,087,610,
350,361,518,080,199,192,084,526,699,267,675,768,676,326,382,590,073,951,165,
851,140,012,792,064,801,935,425,030,235,952,525,236,862,103,822,157,054,595,
652,967,191,984,681,330,290,536,744,551,431,774,057,777,603,271,228,605,243,
637,896,906,292,203,473,800,928,267,715,469,736,095,421,901,972,756,598,492,
976,286,680,156,892,148,471,767,068,758,905,886,148,397,409,270,326,455,259,
895,148,818,174,676,462,409,874,628,296,271,243,908,831,749,139,623,703,393,
565,209,083,192,831,593,394,920,686,262,578,862,682,514,187,107,217,961,529,
929,136,838,027,424,402,901,851,661,818,321,448,913,117,585,222,948,629,653,
501,394,119,233,541,659,040,680,890,169,162,134,149,245,075,130,120,359,442,
230,265,346,513,207,838,056,065,132,596,253,236,516,457,788,385,322,728,209,
336,488,972,822,932,176,726,528,914,579,216,283,112,633,264,066,750,144,212,
239,218,943,173,893,705,472,574,009,664,786,053,795,331,909,997,264,517,933,
929,184,847,500,653,419,786,178,152,869,620,217,865,425,997,235,921,437,384,
849,026,309,338,730,097,747,145,140,285,486,564,995,973,757,113,681,388,707,
489,918,399,443,333,259,489,558,693,256,633,279,802,246,322,136,382,272,414,
828,074,213,836,878,529,357,992,691,914,854,853,294,366,071,451,983,065,203,
240,803,977,759,558,727,093,457,716,696,245,929,891,884,126,232,686,578,288,
270,388,670,091,686,134,865,618,498,176,919,025,537,450,194,019,885,089,381,
727,196,292,201,562,328,431,364,481,172,852,911,343,219,181,498,686,912,694,
987,901,535,295,722,492,353,075,386,312,967,651,947,593,083,136,204,567,757,
480,410,248,160,309,118,680,525,878,938,522,723,990,139,947,360,625,327,927,
780,535,965,119,345,038,611,506,608,442,496,942,277,244,888,546,906,500,243,
206,661,155,475,745,416,046,219,321,580,171,775,355,726,959,035,126,082,154,
502,257,586,745,676,322,168,264,119,910,590,181,950,032,710,849,981,227,816,
081,644,399,885,733,061,879,955,663,561,181,110,083,927,713,445,618,706,991,
293,822,384,882,623,772,718,649,378,791,858,978,822,779,947,790,899,626,571,
674,717,325,587,347,267,699,096,582,539,628,560,022,332,057,074,314,345,505,
767,324,028,966,067,181,289,149,814,846,419,231,431,852,990,734,291,167,993,
714,360,269,446,532,855,439,608,694,796,592,969,961,581,400,489,506,664,816,
170,531,385,227,695,805,053,802,190,031,331,024,875,443,482,768,566,584,210,
139,619,897,346,398,238,242,717,279,138,093,414,005,282,841,179,044,040,332,
031,898,343,894,333,076,425,904,834,800,692,574,099,886,037,052,098,643,956,
896,774,027,489,082,927,457,184,527,969,412,692,607,394,565,646,971,214,173,
174,770,772,875,666,005,457,893,604,294,903,146,131,349,617,799,619,112,989,
755,949,009,780,705,757,736,678,328,988,209,393,823,252,813,604,915,331,369,
840,267,547,112,956,093,514,035,684,698,224,471,006,265,513,847,952,098,448,
849,349,783,054,157,559,583,926,095,051,587,276,639,975,926,419,180,785,237,
052,882,062,334,626,485,897,412,389,978,677,753,101,123,514,430,807,183,033,
808,150,532,342,530,343,598,355,829,228,631,906,008,859,120,418,639,718,588,
329,056,421,588,070,359,324,562,742,358,655,381,910,041,076,530,852,241,112,
697,767,932,004,139,577,659,625,239,364,756,606,288,602,854,424,201,436,609,
077,936,715,481,555,032,167,941,187,482,395,852,764,703,138,222,473,950,884,
069,296,140,282,961,583,747,565,711,907,881,418,493,910,199,424,917,548,870,
638,457,910,400,918,969,016,708,295,945,776,146,095,163,168,621,611,516,141,
278,428,831,524,630,788,708,010,615,866,298,572,928,447,636,746,194,870,098,
069,620,589,233,124,875,655,839,136,630,288,011,499,859,736,237,727,126,329,
353,975,765,263,077,008,001,001,833,522,018,799,402,192,196,347,829,756,662,
194,007,860,451,030,338,566,733,588,298,468,671,955,849,353,615,925,679,167,
342,831,841,452,281,163,136,716,022,941,779,014,946,799,221,917,980,391,041,
125,922,614,888,442,765,454,244,803,135,076,949,587,402,486,036,028,194,271,
908,146,368,511,102,285,498,846,178,047,844,832,202,260,539,060,988,538,868,
686,126,691,766,800,477,169,054,698,672,289,014,529,592,001,434,832,324,256,
521,115,366,680,380,965,444,424,364,631,522,523,652,149,160,335,095,069,006,
324,669,490,607,966,081,567,722,848,080,414,843,911,889,933,417,245,509,538,
524,746,499,913,864,876,107,044,832,245,309,614,501,615,551,503,852,292,868,
654,315,263,123,951,033,983,360,220,082,165,295,479,214,115,601,536,478,531,
586,097,421,431,480,125,560,591,061,516,089,197,538,529,862,901,599,014,549,
146,386,840,260,238,953,565,200,444,219,261,812,930,755,302,337,606,630,281,
362,603,060,183,317,351,587,805,179,525,138,579,780,971,889,689,636,737,897,
694,502,703,990,715,252,768,462,509,038,312,013,043,136,445,219,338,542,879,
445,446,547,695,550,683,413,403,010,379,970,553,179,926,798,942,470,962,615,
830,921,659,282,520,990,314,561,762,702,052,548,410,016,499,411,915,925,359,
916,353,424,828,467,644,059,886,108,566,285,742,264,436,697,776,283,090,979,
058,247,052,264,315,595,173,356,624,036,913,740,604,569,990,642,909,039,029,
916,597,982,358,191,676,230,532,817,153,092,501,672,437,167,219,230,344,940,
891,433,801,751,798,575,485,704,345,185,028,351,728,182,103,737,472,979,966,
290,538,404,366,252,632,955,679,114,884,629,175,004,651,696,350,229,042,633,
852,242,934,572,267,297,021,657,917,656,350,514,520,521,172,003,264,631,658,
786,149,001,599,490,328,820,702,787,983,293,986,195,429,024,537,873,211,374,
102,071,831,381,870,566,634,560,487,489,250,041,090,766,642,429,187,356,288,
709,870,879,248,317,483,208,764,737,220,151,994,366,159,622,513,311,797,668,
036,622,394,996,295,537,260,394,795,809,668,770,870,956,072,966,970,867,576,
920,742,682,921,792,049,182,647,834,421,995,637,177,563,350,351,630,813,736,
792,414,224,186,038,568,080,992,090,201,889,696,741,000,155,788,207,590,698,
081,146,691,349,204,287,594,426,989,082,816,615,574,842,840,159,208,685,940,
618,386,261,113,334,247,598,369,079,398,675,362,063,194,574,738,014,735,950,
462,739,339,344,165,678,620,045,425,373,973,176,866,056,931,593,266,684,438,
831,114,976,614,607,556,321,698,202,161,583,730,277,386,978,442,561,367,479,
122,650,331,994,919,322,175,608,203,516,859,732,622,316,892,303,655,461,886,
521,095,539,101,576,759,060,688,458,369,628,015,742,554,596,650,415,556,715,
324,266,865,482,499,238,132,687,818,885,863,918,375,700,546,265,987,431,127,
732,207,396,388,315,907,058,517,321,028,978,711,585,453,295,560,172,852,049,
076,741,116,913,187,270,898,961,048,809,609,514,564,883,188,011,289,449,359,
198,950,672,898,875,505,342,376,655,119,327,644,773,451,536,425,261,539,230,
242,434,296,833,925,919,447,512,532,772,937,396,361,170,588,853,830,220,145,
935,935,217,696,468,522,662,102,644,859,949,944,005,043,063,367,773,191,024,
078,767,364,869,345,267,391,469,156,729,577,971,555,079,386,806,009,866,207,
363,029,207,694,581,101,271,143,195,944,211,831,397,931,948,168,415,852,499,
263,738,424,668,527,274,273,562,368,278,052,452,219,779,342,017,417,112,402,
960,801,360,288,128,351,294,083,974,334,267,272,246,308,341,938,252,451,103,
849,448,630,334,947,921,796,017,170,027,999,882,562,289,384,266,825,599,641,
214,665,270,982,660,840,382,007,443,335,227,276,975,674,042,336,571,761,480,
482,827,608,658,320,021,109,032,767,599,448,301,026,724,532,355,394,232,692,
517,687,650,139,099,773,330,541,120,056,652,619,576,527,967,986,621,058,586,
295,407,764,805,239,288,102,938,282,635,853,945,758,359,901,338,694,208,608,
784,193,927,992,240,988,455,573,348,585,631,817,825,701,253,890,221,064,922,
149,898,650,868,726,327,614,897,142,195,717,499,755,570,755,040,353,143,421,
764,333,746,621,966,855,062,892,322,016,872,841,344,606,653,814,316,670,699,
165,569,816,697,490,084,105,479,839,775,080,589,677,883,090,405,701,798,715,
929,422,454,799,934,423,706,465,320,468,225,412,746,584,820,264,528,928,781,
073,314,118,739,893,874,811,806,755,667,311,828,143,240,143,272,059,724,968,
945,419,843,756,493,397,497,777,486,841,780,079,195,734,501,359,553,634,620,
197,070,852,100,129,238,225,314,780,708,175,022,178,451,641,928,980,835,031,
367,051,727,540,935,345,692,006,022,537,907,774,247,499,666,677,763,327,097,
276,636,018,445,262,754,256,723,218,697,561,656,397,506,089,172,238,393,290,
453,778,658,785,395,894,701,302,118,561,504,992,471,504,021,039,900,418,806,
106,292,676,574,473,643,864,830,717,119,253,225,623,402,886,092,213,404,215,
836,520,182,852,607,221,866,047,563,236,316,826,643,436,104,516,116,961,643,
122,476,331,412,072,882,636,251,107,982,027,696,491,924,564,004,592,343,169,
249,768,705,416,286,676,185,913,848,798,023,529,967,936,390,162,283,811,408,
758,549,892,614,484,983,589,522,754,458,793,177,594,407,989,003,719,176,823,
837,546,396,190,250,837,406,536,869,417,230,213,767,131,093,800,921,695,084,
806,205,955,232,344,421,685,806,011,175,882,819,510,311,547,268,062,649,272,
784,624,416,800,712,390,677,625,912,047,197,465,588,414,636,213,158,519,127,
265,891,758,923,521,105,805,947,082,215,577,302,526,417,746,119,525,171,818,
846,104,900,729,462,414,173,118,674,363,950,063,058,103,076,492,514,131,710,
364,420,763,418,849,169,600,415,207,786,835,255,414,287,865,554,811,122,255,
443,657,885,350,602,624,241,084,811,747,592,009,187,515,291,522,529,110,386,
857,898,794,077,547,205,937,176,285,536,919,529,798,065,004,930,235,302,758,
244,813,953,182,391,438,258,750,229,873,731,020,982,537,700,673,845,204,767,
721,884,370,218,926,707,211,757,755,611,162,931,916,369,594,959,677,379,748,
910,829,279,587,813,718,016,562,078,580,512,699,121,613,084,829,518,898,669,
780,099,620,030,155,497,525,249,221,867,324,935,112,888,225,982,416,291,899,
184,341,033,575,942,712,083,926,992,472,955,935,804,418,166,967,198,292,541,
555,473,861,906,218,489,805,266,829,259,457,039,832,950,145,338,242,921,530,
545,084,248,582,441,241,957,616,432,508,788,151,987,223,928,745,779,224,643,
021,636,092,153,971,833,996,291,168,614,061,444,176,120,484,685,615,722,848,
610,873,804,785,809,490,471,059,244,929,419,828,478,862,731,620,542,362,498,
403,280,778,542,262,016,207,317,881,632,773,835,406,965,815,122,083,883,092,
090,903,740,483,072,775,953,240,959,278,619,196,878,288,133,677,138,711,827,
096,201,614,563,830,348,383,680,824,459,440,761,214,438,417,097,017,831,236,
128,927,611,400,392,802,185,955,190,761,944,001,533,837,008,007,994,340,223,
975,001,248,688,262,392,100,957,960,206,175,591,441,540,062,587,435,651,082,
972,218,820,875,311,529,654,874,218,666,465,561,261,280,809,750,514,962,701,
933,117,880,629,470,167,307,466,820,206,109,241,266,025,367,513,366,027,298,
888,816,206,798,204,738,633,289,162,629,528,258,139,842,490,380,546,334,474,
336,072,529,047,405,276,930,606,696,784,534,064,605,471,317,051,486,292,521,
741,175,397,732,359,347,341,532,058,981,394,798,355,094,024,307,247,848,094,
008,824,912,939,566,978,505,937,096,534,184,724,861,186,237,641,804,881,151,
860,345,738,112,870,410,433,244,021,655,775,716,206,465,348,874,326,875,618,
093,952,169,657,098,866,370,685,621,695,632,288,785,072,008,827,662,695,994,
837,489,427,362,366,862,555,464,438,552,226,428,730,892,312,842,318,728,574,
624,961,065,629,626,786,381,733,176,713,944,218,666,825,618,691,326,412,662,
396,273,250,924,618,010,613,950,355,060,212,155,289,282,932,708,654,923,892,
024,875,212,947,912,680,642,109,855,990,175,549,167,539,238,584,591,074,735,
117,615,854,193,888,766,208,968,921,757,547,077,180,655,418,081,132,546,766,
195,748,373,515,164,487,650,393,484,435,984,443,540,026,478,110,149,977,680,
103,521,279,051,926,643,242,041,194,972,697,719,164,284,529,573,143,014,542,
286,848,451,594,967,231,531,868,389,341,612,040,816,266,044,593,688,681,946,
649,344,272,076,390,093,800,032,525,191,312,882,448,839,098,371,654,347,615,
855,826,742,231,108,802,420,881,322,544,440,753,148,307,980,156,704,438,460,
385,359,641,719,393,959,663,464,179,201,751,030,348,881,740,389,773,624,491,
865,519,242,540,937,085,299,983,862,509,843,977,491,290,682,611,419,936,787,
119,738,923,636,044,404,370,733,124,271,438,354,168,260,093,109,600,346,703,
353,783,080,634,182,630,122,152,628,257,010,273,217,337,577,719,221,395,728,
948,157,256,232,012,813,937,578,651,656,601,437,923,561,865,514,448,745,043,
611,568,972,018,925,734,538,101,310,855,787,816,870,370,800,811,077,483,048,
217,010,077,651,785,818,530,840,883,625,495,815,252,660,925,392,127,668,039,
219,056,615,532,750,020,668,143,571,976,887,700,379,821,551,590,230,304,352,
585,983,246,876,770,551,966,472,997,753,518,252,481,516,329,746,716,311,740,
379,908,552,809,522,921,122,316,065,608,342,413,247,196,560,010,768,080,317,
984,093,983,638,373,788,979,958,538,046,257,215,492,111,466,714,528,929,277,
055,728,401,419,495,920,699,126,781,569,509,247,384,242,249,747,588,183,395,
565,625,675,209,795,573,975,543,248,977,936,236,369,682,803,970,248,500,798,
457,498,120,974,751,171,411,476,674,987,516,725,370,307,323,526,986,692,253,
561,251,723,590,509,478,752,177,365,984,975,500,491,939,468,110,679,269,615,
472,177,625,091,662,589,268,367,263,788,591,951,080,507,051,186,402,471,832,
908,790,740,415,874,525,927,004,553,041,028,652,504,546,222,051,790,314,975,
346,489,294,822,519,907,955,982,951,678,385,485,503,313,566,085,805,294,431,
389,118,806,426,717,394,665,340,732,870,071,855,430,323,819,805,490,008,680,
621,656,511,093,059,876,970,690,927,556,004,661,670,061,886,426,704,796,609,
404,972,264,164,862,055,833,872,513,188,163,358,506,339,880,013,776,486,247,
252,951,075,633,409,937,440,141,127,630,359,322,176,942,966,235,827,768,228,
692,242,467,907,832,298,790,941,746,620,526,832,052,544,110,113,395,771,376,
938,280,401,393,861,952,213,081,434,153,032,286,393,223,463,454,470,346,952,
068,742,610,267,270,915,715,144,045,414,324,558,823,841,930,547,764,586,030,
204,520,449,524,164,083,621,382,661,891,780,737,797,544,308,770,557,887,450,
725,210,613,551,647,603,130,314,766,697,642,969,239,335,933,548,378,220,180,
881,476,020,800,130,587,585,828,580,893,682,843,037,374,310,114,715,959,014,
802,744,780,161,679,418,669,431,086,731,793,186,153,837,579,068,944,887,702,
932,337,333,599,730,131,144,538,111,831,845,443,722,773,455,517,307,706,572,
679,712,070,772,963,988,094,481,162,721,286,149,705,087,296,571,916,631,761,
121,359,545,098,654,707,459,695,437,305,319,388,211,208,796,956,984,668,273,
076,526,398,679,679,052,310,643,036,612,099,835,737,620,601,894,435,280,782,
597,956,209,878,930,790,262,683,721,222,784,564,254,675,626,645,418,870,755,
743,470,883,204,015,826,258,360,354,123,778,005,470,150,955,662,027,803,703,
757,704,423,656,313,716,867,799,839,396,233,650,589,413,936,089,624,607,814,
547,527,006,385,954,579,265,110,069,692,845,745,888,426,022,380,919,803,661,
530,105,322,940,201,975,255,228,340,043,586,048,454,620,639,006,266,096,227,
279,176,771,811,061,749,097,503,064,218,617,322,499,879,790,824,601,536,964,
923,431,848,948,018,866,442,967,849,260,077,944,340,228,695,526,674,771,417,
568,261,828,596,187,774,752,252,358,785,571,320,281,479,885,320,347,876,806,
733,968,185,373,103,864,903,914,726,475,091,314,002,422,632,836,649,545,935,
513,608,839,683,706,829,230,581,433,246,419,542,413,916,961,480,929,173,836,
305,246,293,499,298,994,454,343,536,147,008,467,404,313,018,270,485,609,066,
361,801,509,054,790,294,886,279,978,237,938,113,234,784,502,821,898,133,513,
445,459,497,143,920,421,741,811,019,634,933,967,840,300,366,804,521,311,492,
883,099,514,682,856,991,293,912,967,127,499,730,087,397,574,553,945,904,935,
233,772,501,399,978,898,977,033,348,510,066,955,742,743,386,358,165,757,174,
191,370,163,630,527,315,175,528,992,688,238,991,370,111,032,619,670,466,380,
348,853,935,645,230,666,431,612,351,824,819,612,493,219,432,738,532,184,259,
594,647,272,014,871,273,100,127,251,962,674,479,364,980,025,853,632,581,128,
966,280,355,884,620,158,604,086,732,136,981,914,588,640,851,403,831,262,160,
257,725,636,771,687,816,900,554,850,439,370,949,368,706,924,175,277,014,337,
755,875,029,273,340,542,247,804,485,000,650,497,276,723,885,526,949,105,975,
529,151,909,698,685,715,479,575,115,321,461,172,487,835,932,392,042,678,058,
898,510,330,192,281,859,705,768,481,363,590,497,615,846,826,050,719,335,872,
329,948,982,676,551,023,007,305,788,352,916,150,594,766,008,297,699,290,738,
981,963,596,108,376,843,527,041,282,695,336,633,067,235,551,425,538,319,273,
063,911,450,096,093,143,126,746,043,937,082,892,775,422,641,484,197,454,857,
508,536,703,418,175,142,798,167,238,434,101,302,347,609,457,082,657,769,960,
654,337,458,994,696,500,136,016,525,740,230,053,539,579,152,611,800,728,917,
636,409,630,976,633,451,718,661,885,119,741,740,022,929,441,276,418,129,815,
641,615,281,213,514,859,323,125,766,240,797,689,378,729,431,701,532,759,895,
620,226,103,981,781,431,866,281,589,375,223,681,362,326,347,213,091,014,134,
973,086,871,234,066,984,781,737,165,004,660,978,373,212,142,883,659,963,805,
174,435,343,084,101,386,034,537,424,781,071,948,960,213,000,997,676,329,821,
296,996,907,820,794,441,513,687,150,886,510,501,125,112,498,669,791,759,644,
923,067,219,683,511,080,350,286,388,089,702,819,736,312,749,255,890,415,309,
314,756,729,959,657,015,120,247,564,502,625,583,572,687,101,286,935,488,723,
470,628,598,091,287,187,839,346,725,677,237,511,727,554,284,768,274,252,366,
850,054,855,265,089,202,732,748,905,785,161,411,129,820,955,265,260,464,298,
035,327,250,880,860,369,194,581,677,660,921,796,369,871,681,426,330,995,729,
568,382,187,017,311,770,550,681,252,206,348,175,115,590,133,188,584,431,930,
213,918,260,626,779,720,093,945,960,149,188,072,321,154,987,688,994,753,011,
488,178,812,931,807,102,947,093,021,609,295,892,039,528,464,527,872,891,963,
883,564,659,147,917,641,485,117,689,811,472,032,079,688,660,683,438,730,610,
556,530,195,504,337,664,103,877,206,478,833,703,210,644,812,687,839,864,936,
438,637,641,280,033,562,212,963,351,477,458,820,491,222,039,721,663,930,903,
266,363,258,179,175,053,925,972,710,674,365,991,428,213,505,953,367,056,274,
349,521,544,235,525,840,200,883,875,867,769,854,558,714,912,170,979,220,545,
502,630,727,455,465,664,846,372,932,362,681,441,756,154,321,193,369,784,875,
090,642,308,006,526,281,168,735,615,617,020,571,652,891,052,985,785,244,209,
467,938,136,990,671,484,742,181,007,459,608,962,691,016,025,882,215,616,927,
240,555,667,584,284,092,537,337,860,087,553,178,839,970,483,964,035,697,959,
754,111,544,844,289,912,576,975,085,748,888,503,020,038,238,179,654,319,207,
386,261,200,684,439,061,268,759,316,463,730,327,477,122,496,699,103,733,154,
440,722,357,177,804,250,933,339,953,962,506,431,812,036,031,882,933,051,101,
640,947,931,266,511,775,691,178,384,020,030,322,064,320,910,400,024,790,944,
803,650,867,362,417,996,936,187,405,333,455,402,521,032,488,650,378,723,032,
861,025,837,797,326,833,051,302,876,697,032,637,823,084,166,520,717,945,674,
480,686,443,153,081,342,499,802,472,152,542,670,601,083,809,232,545,725,904,
196,793,834,880,055,129,775,223,529,705,346,568,246,676,142,686,573,101,407,
589,296,487,744,102,586,360,611,008,808,603,448,421,724,255,416,998,432,671,
321,645,077,864,985,828,952,134,197,302,480,842,366,045,239,157,346,066,803,
495,383,130,706,556,832,912,253,474,566,264,009,214,542,391,195,730,163,630,
371,129,145,641,332,209,565,170,064,369,993,128,400,098,427,313,637,026,629,
188,995,849,051,788,838,173,443,327,318,715,778,616,089,190,968,062,104,349,
094,899,055,936,899,079,387,770,595,114,237,579,319,012,561,812,889,015,598,
037,843,786,530,112,581,385,215,229,320,451,105,191,474,747,891,429,014,141,
494,119,464,674,145,213,751,823,034,869,275,345,222,397,195,421,733,312,032,
755,794,946,320,377,547,986,710,119,378,981,536,932,903,342,434,055,006,255,
279,740,240,261,493,104,493,350,334,665,782,223,236,071,653,774,853,780,755,
407,750,266,703,966,744,213,372,628,423,583,652,692,214,751,895,960,928,413,
163,958,286,884,364,939,240,215,924,658,992,776,130,763,659,601,949,502,620,
560,848,602,785,158,522,168,073,411,413,203,100,888,589,012,484,556,484,782,
134,955,690,271,205,121,093,647,139,315,159,978,466,829,158,171,105,330,999,
050,073,617,266,069,661,142,358,885,562,074,281,775,608,816,434,225,099,222,
891,677,753,369,709,683,892,759,077,831,884,759,911,334,343,061,362,444,274,
791,568,658,531,000,377,555,302,887,122,047,439,774,306,782,457,005,513,376,
981,844,754,049,431,362,870,091,860,167,170,124,634,113,658,057,946,439,664,
293,765,200,849,353,121,201,244,782,585,703,711,203,706,774,325,735,928,295,
359,048,986,434,842,105,136,079,948,160,428,938,953,043,909,176,403,401,494,
894,906,934,257,498,708,186,982,948,004,577,789,235,197,298,501,921,896,638,
741,644,921,310,845,637,984,712,157,828,366,793,423,275,874,122,611,672,010,
038,237,759,637,008,156,584,999,430,493,257,599,252,033,217,179,571,645,520,
390,286,898,155,320,236,140,563,583,643,130,148,652,115,693,641,068,720,888,
054,675,427,978,441,451,036,022,066,911,087,319,118,724,926,235,695,320,013,
869,834,132,419,296,634,569,651,663,186,759,810,375,708,465,264,257,371,055,
463,797,372,065,537,862,737,568,127,780,667,894,912,989,328,081,628,500,216,
848,117,067,338,524,292,075,243,321,799,447,572,938,254,816,334,331,948,899,
247,412,620,041,672,978,171,312,784,880,202,614,416,445,833,348,095,680,718,
918,516,323,648,124,692,862,371,520,467,365,948,412,882,781,457,378,008,963,
514,381,001,120,053,651,971,034,226,195,376,419,392,936,464,975,903,842,877,
899,026,485,693,353,791,396,912,965,085,303,485,643,923,063,371,857,440,049,
857,974,654,084,069,392,589,159,947,845,108,421,827,547,515,986,788,081,517,
713,715,265,411,543,762,459,077,530,811,818,086,732,298,291,598,848,858,595,
079,630,700,055,946,743,304,313,088,621,853,963,271,977,914,818,168,618,916,
971,291,156,511,852,471,802,161,814,985,657,188,959,990,646,633,623,403,323,
935,166,661,472,105,837,513,731,099,924,853,137,613,489,001,553,355,209,098,
718,775,641,897,829,811,476,732,285,136,209,595,496,847,804,432,262,284,332,
259,132,899,840,522,551,053,565,066,685,854,662,774,859,306,135,901,350,298,
212,970,338,891,352,087,649,602,488,266,795,985,747,521,714,226,810,607,792,
055,943,684,728,335,766,638,580,349,044,516,888,194,717,072,049,239,048,042,
863,825,944,698,813,787,021,633,885,548,426,725,208,381,925,374,209,339,875,
010,276,518,229,422,676,191,487,952,501,252,042,754,893,875,692,026,135,402,
209,943,811,058,237,216,343,356,795,982,095,802,413,259,372,935,518,192,044,
864,107,250,200,103,742,125,388,621,088,276,582,903,541,632,882,025,707,395,
700,451,726,288,945,801,403,106,585,687,073,881,451,594,616,107,357,591,170,
166,080,319,294,246,112,640,555,061,321,921,299,880,621,228,026,783,982,981,
990,176,791,030,257,455,294,694,369,736,939,141,966,697,035,362,294,814,957,
241,585,292,596,314,019,956,387,611,116,100,245,780,402,320,069,370,026,537,
876,139,528,608,918,811,462,832,484,089,669,340,852,796,189,262,893,585,431,
610,985,804,078,346,008,838,743,165,203,324,959,397,524,933,592,451,822,527,
057,622,930,018,641,905,425,915,213,290,848,433,286,842,190,710,091,490,873,
717,409,214,475,529,352,017,788,594,940,473,091,438,837,102,276,620,783,919,
887,048,001,730,816,952,986,477,347,042,055,373,200,600,949,088,682,442,925,
800,292,986,738,077,972,579,637,698,733,302,906,151,352,713,568,232,241,939,
524,971,084,857,491,368,760,254,450,907,982,129,635,670,795,320,577,389,743,
388,858,427,991,495,493,203,897,044,776,561,613,781,300,133,598,434,346,475,
331,189,204,317,465,499,041,180,161,726,375,946,554,281,477,669,103,885,236,
332,188,729,218,182,465,651,485,111,900,008,119,717,864,199,080,703,961,983,
510,613,059,812,306,181,730,018,093,360,940,620,415,756,158,510,992,908,751,
401,822,790,794,931,316,720,324,193,942,607,000,422,969,877,484,333,227,199,
982,135,600,232,525,794,604,629,978,295,343,965,197,744,959,854,175,157,714,
481,724,116,479,355,358,256,324,268,971,777,295,167,615,867,374,536,776,284,
795,561,130,116,080,083,960,072,598,283,375,422,479,607,463,859,765,336,224,
773,170,733,195,786,105,660,452,625,594,187,614,876,329,059,763,676,191,350,
537,700,269,627,547,700,049,232,104,574,117,857,627,870,738,808,532,792,192,
153,868,908,374,133,607,352,045,336,192,715,042,505,805,414,757,099,732,441,
069,177,041,636,452,120,131,322,769,734,032,204,838,917,658,475,151,653,774,
393,870,747,311,386,938,135,986,713,924,020,500,002,457,010,641,807,492,136,
536,294,429,085,966,925,588,919,284,027,300,898,072,816,658,473,125,971,400,
266,956,282,717,819,450,845,313,765,528,880,158,631,921,624,003,058,107,296,
637,683,005,060,218,188,313,477,831,125,763,211,801,222,507,813,237,882,595,
497,372,812,945,236,448,801,848,926,608,754,976,193,869,801,670,834,304,203,
912,520,398,755,147,509,002,850,023,793,350,076,000,737,956,329,695,265,970,
293,509,284,637,142,550,840,881,707,269,488,359,429,892,562,409,004,736,693,
462,307,131,625,207,202,686,267,624,424,645,602,465,782,946,920,736,280,064,
739,551,941,688,793,878,650,948,914,152,541,319,357,231,267,276,283,952,041,
628,043,857,242,296,890,237,035,377,279,905,535,485,095,701,559,328,673,481,
409,947,082,458,680,372,933,787,935,100,555,539,960,285,343,503,885,789,228,
130,829,200,705,580,093,818,914,541,548,695,975,147,237,521,386,016,225,045,
733,222,112,432,320,499,571,663,769,496,151,849,225,961,953,996,470,063,760,
335,166,103,394,865,695,361,143,284,623,993,474,438,436,964,179,853,906,298,
205,651,289,009,710,523,974,323,148,480,306,548,072,658,088,374,693,369,099,
789,174,341,655,425,703,701,130,531,159,025,318,400,684,889,483,459,766,547,
654,665,481,937,998,631,721,680,579,146,027,405,239,667,340,205,091,994,734,
939,195,541,288,157,528,618,759,876,540,517,794,936,864,134,804,702,094,804,
237,694,100,102,454,779,906,642,496,102,730,955,594,358,818,391,259,748,135,
754,092,771,896,072,866,112,322,502,677,833,764,518,345,520,658,693,205,043,
527,347,440,344,389,598,061,940,179,680,089,877,388,855,598,840,877,800,996,
763,721,875,971,824,396,589,429,033,139,340,863,911,935,109,547,758,699,132,
970,208,165,335,255,134,255,694,888,830,968,193,384,259,646,460,165,138,906,
143,913,320,641,759,668,903,224,888,275,611,583,715,780,196,035,185,484,579,
989,054,867,990,991,267,971,561,884,845,395,454,988,532,057,982,200,317,269,
157,524,012,803,574,726,544,503,621,300,539,059,950,113,265,532,311,392,694,
823,951,279,845,398,536,287,233,200,282,909,762,205,437,370,770,483,017,565,
246,582,186,092,267,695,120,621,267,044,482,674,633,481,828,762,876,601,734,
688,453,454,344,273,241,673,608,040,364,803,843,863,960,615,321,489,237,279,
783,693,203,452,790,368,412,565,102,023,315,423,893,381,863,241,831,218,368,
105,214,199,525,064,633,566,581,550,777,185,880,994,965,308,579,625,195,847,
311,108,311,044,995,763,356,277,835,999,791,583,213,970,994,341,417,896,762,
080,720,684,731,559,696,259,192,861,476,661,354,885,150,609,358,052,060,170,
677,616,062,816,215,881,634,805,123,901,085,854,581,422,242,278,298,455,259,
480,188,054,895,844,471,359,947,707,324,915,490,951,566,449,431,084,702,170,
166,901,851,805,389,242,965,903,168,971,665,516,262,222,905,662,347,120,606,
139,019,485,656,209,365,471,628,603,098,250,587,808,519,945,630,159,191,124,
089,258,182,598,995,414,305,304,961,077,481,337,818,411,099,033,114,238,142,
508,253,498,472,856,551,133,299,243,821,690,985,334,736,515,823,450,406,284,
084,758,475,991,654,363,353,050,278,859,319,722,760,075,198,104,930,212,797,
265,273,124,970,571,454,638,004,640,139,573,880,073,285,546,778,838,259,215,
078,899,471,836,264,692,327,136,662,098,178,486,566,456,440,691,270,413,069,
656,187,874,082,183,313,013,654,421,089,506,989,934,231,218,488,588,845,747,
269,377,214,818,940,212,719,412,894,564,544,448,449,764,008,163,020,123,476,
821,129,947,841,161,189,547,541,789,920,885,254,449,949,764,557,045,955,685,
803,059,216,115,840,854,532,565,882,884,276,581,286,023,049,039,445,516,353,
149,532,914,028,439,956,470,583,849,132,081,128,378,837,157,089,241,097,895,
146,019,456,579,639,378,004,616,058,875,402,066,799,093,856,357,284,613,595,
302,618,682,606,517,298,945,968,009,946,568,893,891,403,437,226,783,708,898,
332,931,611,112,899,436,879,708,265,546,227,449,660,318,966,432,428,597,206,
594,599,376,831,876,613,214,959,200,356,905,384,487,552,925,925,712,875,707,
652,727,989,427,546,492,598,979,299,895,383,732,874,402,800,084,005,561,519,
303,218,029,740,929,122,388,311,216,663,454,159,616,054,477,530,348,037,227,
281,534,896,057,919,273,321,288,861,819,460,814,596,637,671,190,533,757,552,
955,682,824,913,027,671,693,419,144,176,798,253,033,461,149,089,557,926,033,
071,498,964,288,859,007,877,618,860,448,517,594,908,006,521,780,034,322,632,
071,475,275,973,701,601,762,816,928,176,318,411,033,789,434,576,318,265,463,
385,824,299,777,275,334,649,695,998,319,403,662,727,522,084,694,954,886,504,
917,091,906,889,650,441,847,528,180,573,789,687,076,878,891,114,887,232,330,
252,128,699,550,006,963,338,865,463,375,045,601,700,315,137,275,828,209,415,
390,333,732,027,189,959,188,391,862,674,560,053,105,275,374,856,827,226,742,
632,508,396,902,225,846,930,727,024,048,097,643,594,421,326,666,432,895,987,
581,856,868,730,258,472,588,038,935,138,353,044,929,262,215,183,325,374,755,
464,282,557,306,516,680,963,463,475,298,871,986,453,525,900,649,941,631,084,
165,502,506,066,921,775,850,752,801,932,124,858,112,372,926,926,046,819,315,
658,348,821,701,903,022,899,144,745,760,925,133,896,002,039,156,028,666,526,
465,763,482,375,404,653,367,889,028,461,795,314,764,864,569,766,587,524,553,
480,325,939,076,122,191,253,824,466,695,349,551,421,240,926,176,063,349,581,
879,962,002,326,107,812,066,557,333,419,645,645,976,472,165,188,962,608,472,
910,493,517,664,073,970,746,191,628,584,366,013,763,510,406,906,156,479,011,
491,871,504,024,220,503,873,865,597,214,599,373,397,388,603,848,662,329,007,
887,250,356,541,738,910,894,944,718,929,603,626,304,104,219,982,803,810,096,
823,767,907,627,500,373,409,504,680,134,102,959,865,760,243,718,446,977,211,
903,098,104,606,417,371,721,309,242,831,247,825,881,222,844,624,623,085,443,
560,015,987,520,201,359,663,179,248,170,520,594,467,937,159,630,935,547,803,
444,962,863,269,996,555,444,586,453,608,502,808,011,287,144,921,791,946,745,
794,265,583,025,676,935,080,016,799,026,320,257,190,211,202,935,931,466,259,
747,399,116,816,848,246,783,165,007,702,490,139,249,006,981,700,672,094,714,
161,010,362,718,996,967,608,253,959,397,798,921,699,345,928,383,280,859,331,
558,660,372,916,289,073,026,450,503,619,125,039,657,729,791,898,024,377,027,
587,438,113,894,640,414,352,093,359,093,865,732,860,796,849,935,629,515,189,
470,571,700,564,199,565,566,287,919,434,308,631,438,878,597,253,970,394,957,
945,710,434,863,851,745,743,642,791,102,593,368,463,485,863,537,457,876,103,
696,490,797,059,769,590,808,199,724,689,236,302,492,832,040,195,130,930,385,
977,733,430,877,020,602,131,204,344,795,889,694,488,180,135,580,538,116,136,
726,002,859,791,848,778,236,337,664,262,030,285,079,695,775,554,938,463,650,
812,270,583,270,773,985,608,140,606,494,403,887,515,395,927,970,327,042,818,
646,630,956,739,951,062,946,134,202,265,635,516,405,187,628,673,234,855,245,
558,793,099,916,892,513,073,776,591,986,060,736,862,447,151,918,655,508,475,
107,996,999,343,811,809,977,445,080,580,860,711,219,817,499,512,628,096,585,
256,046,242,583,777,785,387,031,267,288,203,468,344,793,137,809,310,152,965,
242,383,738,255,347,893,862,367,532,098,762,494,667,489,007,638,388,447,763,
559,490,068,481,740,832,238,205,383,851,726,023,818,944,330,195,076,081,387,
772,286,361,619,470,927,245,496,354,606,481,209,815,269,882,253,442,433,985,
454,791,367,750,036,531,017,723,616,367,158,549,651,646,589,556,779,007,308,
666,204,350,161,069,014,003,594,778,811,278,582,492,172,475,019,986,894,142,
485,896,424,705,278,043,456,010,867,340,428,193,754,029,156,184,956,607,898,
616,791,655,580,937,434,539,793,540,652,925,808,769,573,329,265,544,618,482,
692,840,809,495,159,739,448,097,693,400,161,370,274,049,727,628,557,854,020,
079,574,720,582,019,969,399,546,150,820,818,990,738,069,916,723,366,459,909,
565,977,629,970,237,584,398,526,936,184,519,321,932,850,956,383,762,204,493,
832,160,111,766,782,910,887,381,621,255,162,564,526,535,726,145,830,715,334,
289,901,366,128,227,572,273,097,812,642,715,385,834,334,810,297,742,238,159,
476,543,311,917,421,168,735,137,642,435,060,968,600,026,683,373,602,897,177,
396,352,831,504,321,338,287,084,318,789,522,702,686,429,694,556,433,646,784,
697,609,577,076,622,703,453,063,102,232,995,299,267,340,197,560,224,826,064,
384,404,355,463,670,703,328,945,774,703,800,034,058,053,007,483,225,763,030,
046,034,052,271,627,550,339,325,256,734,298,944,208,202,822,299,629,999,535,
793,596,337,206,903,095,428,632,095,541,840,295,033,407,706,190,405,140,968,
560,451,640,621,141,772,796,474,759,092,833,017,538,460,705,095,472,832,804,
388,699,612,787,914,813,385,149,768,077,001,133,654,428,540,018,646,954,567,
667,835,864,624,247,209,067,996,877,509,599,126,449,347,347,729,956,385,626,
650,177,096,370,730,960,593,261,840,840,749,926,558,883,735,091,082,135,431,
685,758,537,517,761,271,246,399,493,642,455,460,245,958,608,795,188,060,485,
120,941,235,814,286,893,266,699,768,870,279,130,398,271,403,312,888,351,017,
435,434,338,644,452,280,555,775,981,243,183,587,846,789,819,069,968,761,278,
560,806,740,880,070,741,981,550,950,106,745,685,723,612,183,334,920,805,122,
525,180,142,688,880,222,559,505,659,202,608,923,994,733,609,913,180,751,889,
941,714,449,104,443,123,289,163,366,902,636,543,049,800,859,129,142,667,081,
629,673,196,807,443,341,540,435,664,682,211,859,317,723,458,958,937,232,900,
353,338,614,040,974,603,098,583,719,713,335,567,840,151,209,808,661,381,946,
740,020,515,138,668,342,818,759,104,434,781,412,233,608,127,965,556,304,040,
459,976,694,832,605,665,176,096,659,042,453,193,605,528,937,181,363,456,531,
183,913,320,491,223,015,463,874,825,130,699,285,655,508,029,633,423,973,195,
662,205,704,932,290,684,684,861,528,087,564,639,484,206,267,648,763,917,428,
380,326,873,536,009,118,819,911,668,098,406,808,680,869,143,456,132,848,533,
575,147,246,577,528,026,891,120,914,615,455,036,250,712,344,700,759,014,904,
805,532,407,963,647,645,787,685,953,137,551,114,341,466,643,915,505,138,920,
055,920,447,355,426,008,043,583,802,415,632,066,490,789,710,600,434,416,750,
839,295,559,689,321,119,094,391,573,738,402,663,490,005,847,781,431,590,985,
583,024,548,061,504,541,719,514,639,932,299,954,474,794,566,567,271,955,372,
209,985,340,858,503,763,027,341,061,266,071,011,930,632,238,816,129,486,578,
496,649,163,651,096,328,400,191,514,680,594,388,233,407,767,769,444,804,805,
645,575,512,286,657,477,752,248,984,080,798,874,482,896,807,881,456,177,557,
441,465,407,826,088,533,771,469,081,904,353,101,220,463,374,263,809,649,124,
994,078,001,768,783,411,775,265,795,076,540,675,875,322,693,103,092,588,187,
200,620,985,821,305,979,281,280,312,248,553,546,047,474,234,156,704,174,494,
710,370,847,820,356,848,628,919,158,621,836,736,071,275,984,924,369,113,401,
132,286,602,229,067,414,743,137,873,063,998,905,313,058,591,909,536,057,090,
460,608,305,102,662,993,976,174,398,826,231,458,159,608,541,320,571,985,108,
625,869,915,751,389,206,677,788,465,255,369,718,583,594,867,445,769,420,207,
162,671,111,886,768,525,711,295,370,635,105,369,240,359,785,750,032,174,844,
959,770,426,401,042,017,895,867,361,140,214,593,573,703,200,839,533,109,640,
039,193,847,134,502,597,882,945,572,311,071,106,937,886,564,950,199,037,803,
978,299,889,510,528,925,294,051,830,497,261,143,125,484,821,749,865,773,656,
129,393,696,736,534,060,596,021,174,806,244,191,881,174,891,999,870,344,179,
166,623,203,004,678,239,767,537,368,741,164,502,435,993,850,490,452,931,813,
273,128,720,874,943,607,482,763,231,907,932,786,797,057,669,553,526,463,409,
287,669,267,116,289,496,046,489,869,549,749,823,057,770,211,450,381,172,035,
836,277,697,937,404,475,548,136,746,934,168,682,215,951,251,814,736,439,422,
592,996,317,913,814,890,679,306,665,703,731,941,268,636,411,296,567,577,801,
851,081,784,578,764,447,718,257,521,682,504,440,658,702,543,720,300,803,295,
394,848,850,261,528,886,520,274,896,903,429,794,426,495,619,203,226,521,113,
404,873,016,028,765,896,647,278,329,598,429,138,717,385,438,918,174,816,282,
554,605,347,520,324,325,803,694,997,723,933,206,255,380,554,014,266,277,980,
440,148,003,679,763,986,487,763,095,496,922,428,099,595,517,981,569,606,739,
407,804,840,658,852,055,845,495,926,704,789,701,081,548,254,233,495,975,454,
296,467,301,071,289,289,394,103,140,880,454,400,629,374,555,910,233,542,532,
840,271,631,646,451,262,151,791,578,685,122,614,562,680,369,079,095,851,657,
103,307,083,438,464,044,535,545,231,465,097,060,407,730,982,295,469,387,100,
032,419,382,627,215,096,481,745,469,723,452,895,645,720,732,953,517,083,974,
085,049,668,568,445,152,824,388,311,174,224,018,672,083,989,407,814,292,006,
918,345,506,988,107,638,076,524,718,202,101,029,315,417,542,264,408,410,154,
297,605,849,602,918,160,237,838,888,333,089,727,295,622,890,550,997,276,499,
118,163,608,978,903,235,892,464,465,326,577,493,089,088,256,881,952,714,836,
148,846,953,028,645,057,614,549,859,336,735,544,795,271,262,640,620,270,168,
196,578,682,016,763,477,873,285,858,565,516,756,476,953,744,890,562,002,552,
237,766,818,429,334,677,285,354,477,863,274,687,920,835,996,666,553,535,730,
868,430,773,806,119,054,100,672,709,144,914,525,789,912,744,137,482,178,884,
845,285,162,774,617,137,197,168,092,763,770,236,690,704,724,124,820,937,163,
610,127,074,900,993,590,906,853,913,269,132,665,600,382,678,267,463,702,618,
093,264,318,329,586,152,059,369,327,827,324,702,119,030,800,798,221,945,856,
306,398,360,404,879,132,230,845,243,480,824,084,837,563,407,467,576,981,468,
019,289,890,094,504,198,303,248,233,103,573,620,092,596,399,602,672,903,017,
279,039,573,559,003,692,641,579,298,378,219,877,304,565,435,250,858,126,614,
266,557,568,936,118,534,595,451,926,055,626,425,922,986,580,885,853,784,502,
674,060,594,754,136,704,701,832,195,704,184,397,212,430,203,670,143,265,474,
207,211,382,964,483,591,641,023,211,562,643,395,082,299,482,229,139,540,248,
574,925,103,261,533,851,880,007,788,132,825,442,673,580,247,565,869,101,660,
014,772,350,518,356,122,867,983,385,687,927,694,100,765,923,259,674,388,359,
840,979,965,936,902,670,913,075,928,142,648,486,054,271,972,225,526,587,968,
183,861,001,489,316,954,192,257,768,826,993,712,352,721,177,717,800,889,708,
408,455,252,850,951,219,053,558,684,483,389,599,233,352,451,331,682,187,536,
309,461,364,273,546,841,053,744,844,784,636,251,739,233,123,731,095,506,531,
727,201,013,075,381,937,891,659,471,087,584,307,068,801,012,010,160,096,870,
210,006,035,081,838,982,106,328,816,823,286,095,070,941,856,595,337,069,621,
052,541,956,462,340,761,110,952,543,668,940,464,041,639,190,750,622,243,271,
511,131,329,552,509,144,717,557,137,819,688,235,604,400,244,495,447,574,819,
979,352,252,754,818,909,493,174,300,548,228,904,930,594,498,832,764,629,664,
595,298,140,467,930,903,157,959,658,944,416,006,815,214,989,401,925,669,821,
495,269,913,299,009,453,980,427,993,478,027,345,813,086,796,243,414,316,948,
511,875,954,252,972,705,327,846,317,274,737,120,279,235,641,600,048,516,265,
586,580,506,149,267,950,528,205,196,402,292,104,431,154,905,566,274,230,545,
285,445,022,373,384,848,026,833,895,678,347,375,812,608,051,426,557,619,045,
731,786,706,772,858,336,961,274,376,394,615,843,285,354,288,443,141,480,399,
502,422,213,202,887,598,887,925,964,819,740,534,859,667,779,920,764,906,229,
677,584,857,914,808,233,675,069,525,015,479,183,242,792,860,320,242,763,210,
244,232,513,318,257,702,101,313,204,903,905,588,829,041,071,110,862,797,800,
689,513,153,179,618,806,784,829,898,719,567,709,186,356,115,171,190,688,882,
868,895,243,291,453,246,961,743,831,071,796,950,707,825,287,851,847,717,172,
601,186,824,362,044,030,756,659,963,651,703,975,613,644,053,069,907,269,536,
544,977,099,458,848,046,200,039,062,462,548,341,147,877,645,582,424,625,377,
769,367,465,515,380,946,609,410,120,964,173,805,955,430,074,121,490,332,169,
224,378,352,876,020,846,584,694,431,674,001,019,413,776,110,759,838,016,305,
934,863,506,398,386,227,479,029,916,409,416,578,329,646,034,837,217,653,366,
446,403,583,830,890,726,090,296,216,564,794,074,173,724,116,905,800,470,781,
489,586,436,032,328,131,819,371,293,445,163,640,021,175,017,199,242,351,938,
855,488,827,632,995,518,703,800,932,319,243,269,440,893,859,767,033,636,792,
901,940,481,076,485,162,548,965,951,068,864,164,976,120,052,200,259,241,744,
434,301,143,751,110,681,426,142,373,245,803,639,982,430,729,367,469,456,146,
093,808,649,333,926,743,224,301,987,234,633,899,157,737,726,974,323,419,495,
730,200,551,862,046,965,290,629,975,575,475,908,488,913,721,557,029,284,436,
066,372,086,575,933,758,468,028,942,095,317,246,930,013,194,196,323,865,059,
834,911,874,483,461,314,773,358,115,537,508,166,805,638,799,206,466,390,841,
455,625,658,344,059,416,139,222,352,391,345,494,649,628,939,338,006,308,266,
007,560,773,248,363,966,145,068,782,079,485,466,327,250,534,770,915,170,473,
749,533,860,504,453,621,829,321,851,845,650,869,397,147,610,093,726,595,629,
843,001,865,508,303,234,658,214,585,032,469,301,496,381,531,383,391,849,257,
301,405,145,126,531,141,085,199,826,128,715,807,993,901,294,530,823,586,428,
916,375,076,954,097,030,909,685,344,933,380,998,715,312,132,476,685,039,804,
286,464,057,581,227,201,285,926,693,723,613,320,390,003,584,885,903,794,803,
590,422,161,934,691,631,195,219,552,621,531,346,266,052,206,381,289,757,821,
315,095,476,296,693,744,049,409,984,524,129,013,828,752,059,341,860,167,481,
858,112,699,063,655,109,949,700,055,396,869,229,035,494,131,520,522,882,781,
235,943,192,526,830,143,386,460,280,445,236,038,329,363,909,515,740,960,847,
586,663,629,507,514,307,167,941,321,256,540,581,211,456,155,650,657,316,151,
405,068,460,576,434,122,010,810,273,621,637,104,009,755,299,293,383,062,558,
445,618,008,501,980,087,690,858,337,525,982,596,290,067,234,330,713,970,373,
703,640,496,832,338,885,164,158,013,012,511,141,578,537,061,704,538,164,943,
188,698,917,578,690,665,861,160,261,590,068,459,714,481,600,900,443,645,595,
952,575,305,378,971,847,218,584,195,707,677,434,353,682,325,946,665,762,220,
598,948,982,411,054,842,354,248,662,731,239,769,980,756,347,469,661,434,199,
906,339,960,635,628,299,648,918,497,686,721,695,154,237,693,664,097,862,690,
492,800,503,556,293,089,881,929,238,462,425,505,260,730,780,606,846,710,566,
618,724,908,865,642,937,495,214,044,476,509,720,095,550,036,300,095,965,317,
953,825,755,908,451,837,647,024,414,883,578,149,300,114,847,108,802,079,654,
263,716,737,654,757,057,320,210,598,037,947,513,831,105,343,386,844,005,254,
297,000,406,857,109,200,348,980,090,067,804,616,374,115,826,096,651,346,844,
157,444,989,416,980,288,071,637,980,308,628,622,781,800,536,085,408,783,976,
440,854,644,630,007,727,188,697,524,553,724,984,105,898,378,014,370,048,682,
396,322,866,094,221,489,104,678,804,915,973,760,648,308,586,615,489,940,890,
670,286,793,603,571,014,888,510,893,658,806,713,515,348,101,647,609,988,090,
298,662,402,461,464,645,349,330,285,580,914,129,237,376,144,534,038,987,749,
276,564,911,482,687,485,970,003,185,881,739,755,533,572,406,193,944,447,834,
214,381,664,004,784,586,241,891,834,982,173,815,466,176,811,456,128,391,031,
353,621,564,332,314,918,643,493,951,249,130,724,896,268,733,951,326,616,861,
339,555,335,556,781,759,225,338,047,554,786,118,197,609,639,539,849,107,377,
593,321,382,458,373,195,675,702,520,136,356,234,311,129,788,094,559,727,859,
993,509,538,277,258,675,963,297,814,806,783,562,874,396,437,520,773,853,068,
069,835,524,217,076,312,053,203,662,182,357,903,646,043,805,867,972,298,257,
395,745,546,526,123,855,263,907,400,119,188,979,621,759,998,175,326,614,728,
732,794,662,683,304,496,475,382,073,708,818,351,827,040,153,905,119,550,131,
885,504,793,812,761,054,698,451,508,830,293,314,497,922,123,650,217,126,392,
220,898,472,881,156,095,879,321,479,694,743,458,214,501,653,195,563,800,568,
188,409,245,655,976,295,743,708,014,658,293,719,314,047,457,680,401,994,552,
227,847,130,649,493,549,468,102,075,285,496,035,502,042,640,189,227,974,569,
437,449,956,086,242,195,854,985,589,901,954,322,474,458,629,922,634,892,562,
606,993,584,355,639,092,635,877,274,271,160,612,822,299,700,947,310,051,836,
612,670,183,625,303,018,965,124,594,426,120,995,951,337,314,639,636,863,213,
745,681,361,131,037,484,468,917,983,722,326,109,567,112,357,187,099,426,215,
733,373,079,822,134,837,968,583,041,281,902,015,555,517,414,896,606,889,729,
533,056,827,275,857,292,697,705,009,150,003,422,835,374,642,411,941,628,973,
024,898,097,863,726,155,686,907,763,288,170,197,750,620,378,802,400,360,381,
590,003,474,298,702,776,816,955,067,450,956,527,423,703,316,177,038,096,531,
605,135,260,222,674,890,317,728,206,419,876,978,432,948,691,139,817,610,689,
899,059,508,258,527,654,543,504,257,342,989,913,014,053,274,815,871,001,605,
336,217,217,690,368,051,915,783,772,398,836,609,460,815,050,581,398,550,244,
069,837,256,146,827,040,766,570,112,933,402,518,168,779,726,182,373,787,323,
413,381,411,946,095,474,239,953,477,612,899,068,523,624,694,160,470,070,690,
209,249,040,193,186,463,495,223,160,744,401,107,218,589,583,968,438,921,817,
000,964,591,485,169,005,433,748,289,265,880,240,139,677,052,243,703,788,389,
825,296,320,637,031,117,778,853,147,940,495,520,300,465,787,658,881,781,789,
123,553,121,200,906,966,359,729,435,893,528,977,900,006,911,917,160,521,828,
960,161,034,133,551,228,566,319,533,887,489,632,739,260,905,948,347,932,278,
539,137,150,666,097,609,177,044,291,911,140,693,157,419,852,819,320,127,923,
679,043,215,003,356,052,056,610,407,370,137,704,987,913,069,541,192,433,104,
658,005,631,977,754,956,766,443,525,495,674,972,880,341,035,901,340,678,864,
075,057,309,476,642,316,894,646,405,061,794,335,911,879,535,187,745,575,430,
896,935,134,087,318,274,700,041,733,329,611,968,178,287,958,558,299,267,143,
393,987,461,895,318,915,853,188,869,653,842,174,235,593,007,722,664,259,926,
095,134,633,919,032,161,769,494,970,584,643,855,158,602,172,956,695,176,466,
060,197,189,540,076,153,519,146,864,888,750,161,679,811,925,818,666,712,128,
495,777,006,231,467,571,726,577,436,332,088,630,831,244,525,790,086,102,537,
375,592,912,522,297,298,943,175,281,316,078,433,284,228,806,082,050,333,967,
261,524,635,616,392,587,190,566,790,023,455,937,638,883,399,099,367,529,096,
216,455,163,048,382,590,176,988,659,567,942,545,770,930,098,960,153,356,086,
597,685,176,415,844,046,648,870,539,352,337,309,501,844,183,520,973,772,641,
611,033,651,872,911,904,844,473,936,540,278,730,971,385,649,205,356,271,688,
140,346,855,107,752,853,696,303,382,265,366,255,478,412,920,414,506,201,160,
319,199,213,546,492,417,026,831,581,081,544,972,319,375,297,631,516,194,155,
299,098,510,926,957,227,464,668,852,043,300,374,160,367,012,596,815,143,984,
112,692,114,367,149,391,182,909,325,940,564,190,167,764,738,474,262,447,748,
983,154,866,682,310,923,508,704,545,321,868,781,367,302,815,924,209,013,895,
756,381,078,158,199,242,650,422,198,248,055,491,560,277,766,865,975,770,073,
987,003,415,048,136,927,268,614,497,089,400,393,804,212,229,451,292,927,711,
979,831,262,568,666,475,496,620,895,031,467,452,881,333,095,768,904,027,429,
248,562,346,437,105,854,531,701,643,909,508,344,943,421,527,152,191,477,054,
229,474,638,087,654,156,849,570,674,120,788,086,111,800,795,382,429,404,429,
200,780,562,634,072,434,139,333,442,451,027,875,396,256,412,796,119,076,104,
303,884,693,006,193,474,330,502,581,873,020,493,503,030,562,647,743,030,300,
747,801,733,105,827,081,696,876,235,632,578,959,382,117,133,295,115,526,160,
833,099,841,201,276,265,571,514,812,922,644,255,576,813,757,531,768,699,562,
156,289,463,513,734,452,903,830,312,720,847,591,419,373,480,824,443,634,779,
035,200,884,898,225,210,678,907,432,558,687,616,147,907,251,299,790,281,091,
415,111,413,595,318,402,428,756,441,158,685,818,304,083,413,855,419,342,900,
145,976,892,139,176,114,308,202,338,564,225,245,273,673,475,914,938,248,109,
913,914,670,171,148,440,474,844,228,646,628,561,353,898,971,719,274,981,633,
328,506,234,054,478,831,354,320,398,377,148,710,181,291,156,101,344,892,696,
121,074,550,046,095,511,144,948,953,563,892,191,458,242,809,475,418,708,391,
151,736,414,269,219,418,178,525,689,218,509,167,031,064,701,205,718,427,888,
303,389,529,708,288,848,847,532,403,483,940,982,186,139,578,439,064,086,468,
683,038,407,061,202,250,356,494,650,131,288,982,852,889,945,452,055,356,768,
889,068,740,680,900,133,673,615,873,646,719,452,264,646,705,222,188,723,557,
237,064,293,461,945,159,911,523,791,316,819,413,149,483,903,818,173,512,755,
097,729,085,110,191,507,774,592,580,750,331,810,124,465,685,420,840,525,653,
614,966,352,132,595,948,009,639,739,395,191,493,575,306,393,226,680,981,047,
216,269,848,051,690,745,501,378,374,492,990,907,845,568,138,134,105,215,004,
687,686,694,190,652,126,488,199,361,441,875,949,814,880,270,515,591,711,710,
258,557,163,179,959,518,153,450,651,155,530,023,607,920,768,630,775,037,994,
753,888,471,477,427,693,905,075,371,446,688,217,119,306,746,485,903,490,832,
815,517,480,867,099,305,297,278,431,601,086,500,762,297,310,324,227,906,208,
221,926,546,092,699,404,361,314,675,999,165,393,310,344,997,272,554,045,840,
008,657,871,586,751,841,485,001,667,959,606,632,674,041,686,055,383,048,545,
622,566,557,806,070,853,853,311,957,215,192,918,554,259,707,131,257,360,130,
003,376,369,568,115,455,048,447,325,938,268,959,501,872,406,180,886,682,086,
433,238,283,911,798,590,173,520,610,931,001,465,594,249,649,378,011,739,259,
476,896,772,454,655,606,126,350,040,554,154,322,406,843,023,258,464,494,676,
769,985,040,946,675,194,256,298,810,167,374,997,155,042,909,475,193,495,852,
350,043,203,786,795,919,281,367,504,567,884,632,627,990,006,194,460,485,439,
505,698,209,870,510,933,175,666,933,673,602,484,413,501,342,038,825,110,978,
962,959,246,270,681,097,107,615,242,893,803,246,949,877,349,560,324,194,610,
732,593,018,440,990,113,673,896,829,004,158,879,249,239,231,091,877,135,576,
703,779,759,760,987,521,053,941,755,267,790,648,273,491,409,253,239,956,463,
749,555,163,236,144,149,823,901,566,796,405,322,539,087,892,620,392,096,556,
099,778,956,820,168,156,649,103,739,441,153,176,986,413,062,604,350,395,310,
379,750,056,100,750,672,308,693,762,956,549,240,593,802,144,099,008,236,767,
627,077,754,781,928,870,816,087,649,003,837,645,469,880,774,485,299,842,848,
560,461,784,096,616,313,546,255,790,897,261,917,054,222,040,777,045,004,188,
703,884,226,907,391,400,589,614,514,469,888,485,719,010,267,625,687,450,076,
050,025,058,188,013,979,675,299,395,539,028,064,097,765,347,822,935,895,991,
659,880,425,169,565,529,931,348,431,248,561,289,751,093,952,228,772,966,951,
536,007,942,316,027,509,911,793,118,820,030,464,607,142,634,429,626,071,048,
708,724,297,325,525,866,820,260,063,887,986,399,010,917,272,311,787,154,933,
398,979,203,416,251,881,393,297,159,248,293,961,719,906,720,897,707,199,802,
892,736,789,581,274,147,783,673,460,490,173,380,694,777,396,327,779,476,352,
395,420,478,569,588,097,831,258,415,279,147,558,238,605,067,063,922,304,002,
440,866,179,074,213,031,603,003,696,888,142,312,875,477,462,028,663,001,236,
627,738,387,187,427,981,078,132,927,444,123,071,353,515,487,045,407,941,938,
506,103,561,485,968,115,542,435,011,210,325,660,130,327,364,718,923,619,890,
136,102,620,810,989,154,791,586,302,079,995,197,236,061,726,315,633,745,429,
966,911,927,733,312,092,652,221,511,380,631,074,805,144,311,924,963,130,081,
157,220,738,513,739,910,496,280,106,239,303,892,809,405,520,532,579,713,568,
996,215,406,945,850,044,416,504,322,978,349,805,309,577,584,805,301,818,420,
355,310,395,224,378,163,129,267,014,699,197,854,479,851,832,930,604,725,194,
231,669,868,408,722,177,277,992,510,703,192,755,933,024,838,062,243,162,214,
494,074,853,096,444,795,567,236,582,833,102,879,672,826,210,291,841,942,735,
453,047,514,425,160,946,960,609,543,488,013,962,987,690,767,002,664,782,730,
133,146,561,920,284,924,896,094,503,774,176,214,218,498,380,705,980,417,996,
607,868,679,455,083,710,768,299,438,539,280,251,071,255,840,155,085,636,559,
594,278,887,004,493,900,442,515,651,206,125,204,136,914,393,915,120,706,198,
691,644,368,504,960,627,277,113,631,688,127,315,752,116,112,731,781,337,323,
745,184,592,052,670,872,034,172,342,388,541,569,172,329,362,987,754,231,270,
192,954,554,461,207,410,294,077,867,507,803,424,019,042,202,680,746,756,736,
816,372,835,382,332,425,191,162,312,298,949,119,695,309,744,860,229,220,458,
197,893,268,376,558,272,476,110,213,083,306,203,312,846,070,367,387,541,421,
247,408,533,542,162,746,430,198,369,627,925,968,728,348,277,160,966,415,430,
446,421,022,203,874,549,907,140,831,682,981,997,292,802,122,890,233,588,450,
884,888,253,738,960,894,824,080,079,138,626,833,107,511,289,592,295,020,778,
922,817,113,346,506,350,367,147,678,250,643,654,643,368,807,274,972,594,414,
417,288,339,492,670,714,293,981,074,958,972,289,194,354,473,510,860,906,135,
925,120,625,606,383,587,796,145,153,063,640,957,882,423,942,576,921,532,422,
383,616,690,669,777,136,267,080,271,056,958,297,110,686,040,881,990,284,728,
855,357,659,715,856,251,501,168,095,675,976,283,404,504,699,982,326,915,213,
083,742,793,774,820,381,054,419,541,526,269,653,854,196,815,612,822,453,917,
915,550,609,231,115,702,625,500,279,359,044,108,042,306,124,014,751,822,775,
509,873,394,212,178,721,042,144,257,148,748,694,866,418,550,183,946,962,010,
519,873,008,692,779,185,404,255,078,571,641,954,300,056,555,834,896,994,359,
174,873,250,956,294,232,527,141,496,152,059,877,332,983,099,319,028,983,177,
335,767,845,802,426,261,514,137,110,971,586,132,925,706,022,736,079,595,536,
794,474,613,661,193,101,551,306,696,185,355,280,502,165,114,669,444,320,522,
145,561,448,251,324,671,109,260,460,511,620,090,350,796,266,229,794,610,532,
781,848,778,137,198,241,116,699,686,127,582,828,784,519,092,838,029,028,695,
095,524,507,833,213,155,863,967,632,273,676,770,012,854,656,819,408,573,420,
800,173,266,582,828,653,887,932,991,556,245,109,234,945,347,417,850,018,476,
239,980,896,972,046,727,782,348,261,755,316,629,029,795,783,076,250,617,623,
443,007,423,607,210,916,450,908,192,148,711,637,537,048,451,651,011,272,195,
996,132,215,696,100,414,267,699,741,408,980,655,233,476,030,179,082,086,086,
341,089,762,609,075,085,028,931,501,605,737,144,011,684,239,431,162,511,567,
568,682,793,939,083,208,287,037,037,415,052,595,780,316,360,265,415,391,221,
471,855,902,247,522,422,296,824,504,424,570,786,557,094,997,844,331,658,967,
276,767,878,129,651,968,644,305,459,407,136,369,337,492,468,095,486,178,165,
236,946,395,026,154,285,653,094,973,692,890,766,167,933,484,775,730,443,908,
722,021,415,432,575,178,887,409,204,232,210,519,786,382,595,576,475,729,784,
972,756,621,619,706,296,453,613,069,877,919,573,543,810,348,072,841,974,242,
149,739,249,641,308,672,047,470,791,987,274,644,476,544,620,898,664,831,670,
512,767,043,837,952,529,618,408,062,222,061,096,306,372,184,416,586,960,404,
577,866,444,086,931,379,145,374,079,378,108,130,499,325,124,603,005,250,373,
993,812,939,658,200,547,914,649,230,118,486,794,809,451,986,978,296,056,343,
758,833,093,474,094,121,346,252,759,787,297,802,838,700,744,836,606,700,829,
345,796,183,641,214,288,708,777,482,512,076,133,194,648,027,812,276,124,050,
000,962,675,222,020,171,189,772,397,370,887,055,304,578,065,270,299,596,314,
479,712,202,443,125,310,172,235,226,313,058,057,183,229,537,549,779,191,455,
693,981,726,916,409,217,029,921,873,806,434,024,034,449,621,211,254,745,261,
956,437,681,731,305,662,519,430,939,607,191,214,896,063,839,451,002,109,635,
381,797,153,908,448,252,114,876,468,273,427,039,616,383,082,053,473,071,052,
029,137,009,071,324,046,424,291,181,320,930,798,271,865,329,742,924,550,283,
105,667,542,234,713,944,898,082,597,989,036,167,023,071,796,086,196,342,181,
339,905,677,958,788,722,310,098,200,147,463,197,888,176,250,731,328,490,699,
242,944,697,468,784,983,010,546,891,682,370,834,576,611,054,738,993,312,945,
906,821,734,278,141,374,834,675,940,805,720,138,415,653,197,174,996,052,637,
172,263,580,335,550,852,660,584,582,257,633,468,315,219,288,839,537,575,382,
619,208,516,223,852,819,515,600,226,801,675,775,796,706,261,452,527,789,026,
972,611,626,466,604,900,172,937,776,560,166,088,778,265,307,164,753,891,037,
637,023,586,375,073,710,377,430,185,008,558,427,630,471,009,538,669,267,469,
968,159,736,347,245,777,462,376,942,449,419,415,920,781,282,356,372,309,732,
754,782,302,143,097,403,343,596,866,528,144,143,745,898,228,601,240,676,185,
619,959,346,091,612,797,073,968,334,543,253,254,472,749,020,390,483,113,261,
102,097,810,079,242,394,437,674,935,559,471,361,459,173,687,298,595,253,854,
480,400,019,831,852,390,775,335,068,325,519,664,477,828,107,916,244,523,399,
046,624,310,680,471,618,550,688,146,727,284,656,066,099,177,015,299,712,738,
095,603,377,330,497,670,978,364,407,321,219,360,939,491,395,691,628,802,120,
407,382,448,415,335,377,206,201,828,486,447,269,668,213,532,394,727,528,881,
504,478,289,933,950,153,354,004,463,310,854,524,455,935,328,686,472,844,536,
084,313,267,432,980,490,513,911,549,129,548,997,291,267,644,005,980,587,716,
848,496,080,467,532,741,046,354,758,977,895,382,871,832,218,581,342,472,681,
177,229,887,459,008,936,920,673,155,086,082,675,648,962,140,297,972,795,494,
619,323,423,511,672,843,850,592,791,734,335,740,137,645,778,247,592,042,134,
160,076,170,350,333,150,886,633,221,196,716,987,500,063,660,071,295,822,576,
765,596,036,026,428,691,553,724,157,057,466,215,203,488,545,845,138,826,523,
973,119,443,951,274,030,641,686,156,190,724,765,280,568,839,882,939,167,450,
342,800,189,115,008,656,749,743,823,043,232,847,880,835,472,058,090,268,132,
251,800,505,304,411,497,062,726,634,463,160,140,714,456,819,725,146,261,068,
911,100,011,892,886,422,949,071,124,080,984,085,355,527,454,422,862,533,838,
355,629,534,650,448,915,564,555,949,398,400,970,298,948,319,978,454,226,393,
781,098,316,560,121,896,317,139,925,786,381,981,348,346,788,870,802,634,163,
867,111,253,575,544,784,846,928,675,261,375,694,002,698,617,919,651,726,220,
168,470,801,036,779,019,669,841,478,814,480,772,249,926,461,982,778,392,749,
580,837,842,591,929,162,421,207,953,074,925,304,616,045,382,983,238,921,368,
583,304,971,540,106,208,345,088,154,378,272,966,228,558,318,485,242,549,627,
339,455,397,436,396,722,785,955,477,869,466,731,843,729,771,792,110,476,148,
044,057,161,403,644,119,989,101,802,119,364,175,968,416,825,555,463,618,710,
579,044,401,499,282,216,070,374,308,396,994,313,729,243,611,892,980,472,361,
634,465,400,988,516,226,797,411,024,502,822,154,072,240,281,606,765,788,934,
783,964,699,918,666,961,240,438,668,205,807,840,780,447,316,211,254,824,313,
461,623,432,131,434,539,610,843,732,934,981,381,506,835,261,734,398,034,854,
260,865,092,549,191,167,027,999,800,917,738,879,050,559,737,482,017,264,831,
375,383,739,634,991,473,154,929,518,004,357,916,473,895,760,891,767,922,612,
941,715,655,978,905,260,813,323,220,053,976,123,018,435,993,322,826,182,119,
049,985,337,133,292,910,774,650,140,545,003,790,101,129,230,088,098,496,042,
982,481,174,027,716,359,686,292,455,466,457,681,235,940,479,296,722,843,263,
562,069,199,336,651,789,041,933,398,009,934,077,526,529,902,292,454,230,683,
589,256,371,306,756,168,502,854,982,857,978,762,379,088,694,113,688,293,524,
659,734,709,585,378,055,678,264,023,458,685,748,970,281,071,572,281,783,788,
685,066,305,580,060,809,354,314,263,724,291,278,076,036,846,818,176,866,192,
850,982,841,947,256,260,077,099,760,200,719,103,287,694,966,327,257,492,664,
010,806,559,574,217,815,794,060,735,983,258,693,873,738,880,441,259,069,995,
750,375,170,737,807,662,926,920,639,039,525,607,950,695,445,034,690,631,468,
580,051,409,256,036,210,882,314,997,903,454,898,731,132,377,942,250,410,942,
914,229,045,598,388,941,808,523,218,824,600,148,577,425,046,034,670,229,621,
886,274,592,969,463,385,243,264,383,754,686,143,128,247,695,360,674,310,773,
180,036,294,479,068,719,777,278,527,048,220,115,253,175,395,214,793,823,053,
206,204,052,326,739,596,451,703,193,860,433,564,117,781,488,812,140,462,070,
257,785,947,419,704,401,822,724,645,923,378,073,782,172,214,588,089,808,153,
080,744,497,957,160,305,695,689,309,479,949,776,022,847,497,088,428,340,331,
040,408,496,232,381,595,268,394,774,062,094,433,904,481,609,664,386,226,441,
394,407,460,072,042,127,573,042,380,008,947,292,813,698,607,220,800,794,903,
627,883,266,020,702,045,561,902,166,598,995,539,284,781,719,532,516,621,542,
581,663,659,785,309,271,797,579,216,582,932,396,579,386,249,925,519,147,870,
186,112,404,198,434,967,986,204,497,750,195,842,893,505,642,463,732,400,467,
101,669,539,354,398,867,936,616,458,445,816,794,302,958,707,161,691,170,050,
146,616,603,001,863,147,824,320,787,984,593,695,643,945,775,446,074,541,848,
718,359,092,777,166,872,244,937,671,281,685,048,542,435,254,791,821,724,192,
478,655,111,009,455,567,668,193,514,439,929,080,545,320,055,430,627,941,365,
770,297,421,414,917,920,968,801,807,211,097,043,995,691,175,538,393,943,158,
230,858,353,823,543,360,069,683,045,761,131,461,778,732,638,933,588,395,523,
496,788,466,245,046,663,597,605,142,482,752,589,716,551,846,754,080,830,719,
722,542,658,492,870,405,676,364,238,311,039,192,980,446,982,410,059,095,855,
293,872,732,687,800,917,250,574,617,671,412,971,537,339,930,401,515,788,192,
139,560,961,041,985,474,550,740,105,768,994,603,522,789,021,372,535,139,542,
929,075,705,070,410,709,824,852,133,628,650,407,886,826,282,495,948,310,131,
671,484,692,392,738,008,486,143,806,489,207,982,802,618,264,286,696,394,266,
027,064,544,288,983,100,184,199,267,941,990,878,160,798,361,832,092,934,472,
310,617,319,339,380,266,249,346,644,577,104,147,423,463,884,402,058,650,866,
260,898,794,347,851,430,487,246,604,715,457,491,881,886,378,269,124,854,332,
973,514,055,753,147,728,211,322,456,584,432,553,537,499,334,042,961,116,965,
192,901,918,721,311,035,634,078,028,188,767,249,283,527,988,432,306,181,673,
858,727,399,202,276,626,276,771,503,370,776,935,906,703,446,368,162,119,379,
198,106,906,689,377,946,487,500,616,138,250,030,164,971,825,414,966,442,352,
749,899,086,579,490,376,363,390,259,967,009,763,506,216,099,829,780,420,423,
361,608,748,741,451,741,381,894,672,249,294,531,827,802,715,006,964,207,847,
340,501,574,085,055,978,211,306,674,801,111,701,727,985,400,667,077,009,070,
628,867,911,285,748,821,752,031,098,400,862,472,307,183,732,484,542,302,635,
051,201,819,049,946,187,121,363,743,477,042,538,496,794,093,163,282,404,235,
626,997,641,229,833,037,598,241,336,736,197,074,633,892,502,225,658,780,974,
775,765,007,652,395,001,457,444,947,304,740,747,370,272,434,756,847,761,571,
064,198,078,715,965,938,576,492,218,606,998,871,930,246,544,886,720,638,655,
540,340,688,047,188,739,539,784,982,643,685,905,226,203,792,790,103,393,193,
426,878,582,464,285,714,784,365,491,014,011,941,200,655,784,802,128,634,085,
726,289,354,196,993,754,497,153,268,056,977,325,444,029,106,093,399,770,030,
261,344,561,555,282,278,913,906,474,196,754,304,184,506,912,393,622,245,410,
555,339,161,550,806,591,915,237,428,923,052,552,423,871,977,244,332,032,336,
394,601,966,420,770,447,254,923,593,711,331,102,019,071,894,181,053,802,835,
244,325,994,124,394,940,288,656,099,600,587,261,675,822,580,343,685,996,182,
689,978,674,137,858,274,219,455,196,154,230,091,144,361,549,995,245,224,521,
486,233,297,128,142,294,910,237,290,768,052,775,176,737,344,630,134,353,838,
582,363,652,442,630,027,681,130,481,383,507,936,542,824,209,655,606,205,433,
686,766,735,703,837,975,703,399,740,166,393,700,016,675,820,963,090,500,727,
674,733,424,340,781,591,878,518,256,842,955,771,850,160,783,865,206,685,090,
690,530,640,353,183,667,869,693,814,573,730,184,608,349,886,627,337,389,648,
809,523,359,693,823,086,603,121,774,615,839,665,872,988,848,698,626,531,211,
078,750,610,966,538,745,284,584,151,158,378,298,970,026,008,602,313,325,815,
717,780,208,847,184,459,712,692,042,180,370,264,877,794,917,861,970,759,949,
363,954,489,920,750,995,434,895,569,638,955,303,465,141,682,724,827,059,862,
463,729,245,350,219,612,298,800,938,370,502,973,276,883,201,633,591,913,612,
615,326,560,797,858,636,164,099,779,975,123,988,195,367,784,581,406,911,554,
191,962,461,951,375,210,428,084,682,289,092,750,225,674,267,579,427,435,418,
695,780,279,470,674,608,264,057,172,488,485,225,967,989,180,406,047,928,163,
081,007,429,908,045,728,344,125,981,898,099,107,696,075,548,216,728,625,813,
769,632,728,492,798,026,487,407,483,835,540,563,687,289,175,055,188,424,271,
591,555,021,846,099,493,630,092,606,919,860,465,822,703,239,070,007,419,783,
390,025,157,523,092,361,019,302,424,458,517,263,742,948,169,516,516,731,923,
294,689,980,959,130,047,899,021,319,508,728,388,718,716,406,380,685,400,253,
458,795,312,302,593,916,078,416,233,407,267,085,630,407,341,922,693,235,972,
182,839,520,321,533,604,750,049,791,629,295,158,909,428,444,510,665,097,718,
903,662,721,085,183,927,979,624,038,497,949,121,926,513,492,961,613,923,767,
330,226,274,068,104,000,995,195,579,747,416,765,031,968,957,702,942,618,086,
130,641,838,575,645,651,581,992,067,032,651,365,259,832,732,597,362,538,407,
049,031,860,444,003,248,448,283,060,662,278,733,701,630,854,670,812,970,174,
018,726,418,790,816,875,395,176,836,583,116,594,141,227,574,316,979,660,307,
030,374,209,892,157,286,513,208,825,934,408,933,029,651,126,690,712,525,155,
357,966,901,422,521,842,750,014,290,997,157,379,875,645,564,360,631,951,181,
295,326,610,796,599,273,928,314,748,449,502,772,290,708,585,566,409,539,221,
565,932,447,634,414,330,712,257,101,286,302,843,741,456,042,381,523,238,637,
512,245,583,662,877,416,540,403,980,697,253,381,176,563,600,280,021,150,693,
459,106,871,291,845,184,504,306,181,105,275,163,599,689,785,518,379,030,259,
740,530,311,428,868,118,957,245,268,407,718,166,346,371,478,189,307,687,011,
290,258,913,519,910,367,905,932,453,080,564,305,631,733,891,019,121,985,222,
708,188,748,550,056,607,457,452,244,738,156,513,547,235,755,916,884,923,981,
478,335,404,970,772,510,769,433,468,700,626,211,897,163,242,294,438,090,600,
989,010,192,731,245,237,166,776,988,193,917,958,581,670,161,830,125,920,827,
030,751,095,586,788,187,688,927,185,507,559,732,366,884,970,210,936,356,068,
427,088,906,239,991,278,482,387,839,387,088,517,221,696,895,842,733,183,537,
343,662,768,015,093,931,265,949,809,070,167,141,845,997,766,599,587,919,516,
083,512,938,697,240,237,178,202,181,607,535,283,352,355,008,377,510,398,867,
402,839,060,064,694,525,998,987,752,467,868,376,038,415,613,388,608,837,807,
535,419,914,014,767,737,473,376,078,949,842,655,459,751,043,834,060,722,944,
615,823,214,610,448,341,983,679,978,398,062,608,528,463,609,792,481,518,761,
505,896,813,637,005,377,662,300,096,114,379,492,680,909,596,744,184,310,632,
037,908,815,974,280,418,291,987,514,238,994,148,387,918,544,501,714,181,818,
306,604,641,877,417,599,734,452,618,196,886,012,867,736,525,406,467,745,522,
166,391,140,936,685,543,780,248,647,209,109,731,607,498,078,140,233,714,462,
652,118,372,784,767,681,699,044,376,249,638,607,358,509,259,395,875,540,350,
060,848,290,363,331,105,312,356,440,024,814,304,970,660,843,946,303,134,274,
330,133,416,800,292,439,846,666,043,956,352,961,982,281,063,557,934,403,138,
153,313,868,916,031,983,554,074,493,250,727,179,316,722,573,245,953,707,494,
724,413,874,584,143,572,175,883,214,973,995,704,079,697,902,994,657,594,190,
482,796,061,170,757,587,698,751,926,793,277,651,088,607,129,255,995,298,184,
975,018,330,220,243,493,149,776,905,865,907,522,093,083,304,446,589,062,980,
876,241,621,082,593,830,348,879,116,601,967,589,219,946,557,266,004,756,257,
667,309,179,284,297,942,332,163,775,298,647,322,440,332,090,858,336,165,700,
267,567,984,675,607,320,859,431,189,568,454,304,930,820,392,953,027,404,649,
889,219,671,519,808,832,277,074,301,223,738,919,399,364,320,349,299,036,084,
048,740,124,298,177,955,187,778,474,832,539,897,258,845,465,372,463,628,145,
325,067,502,286,803,576,790,766,095,882,879,728,592,062,540,126,572,779,138,
524,825,331,842,811,573,582,374,104,302,529,541,982,515,061,606,408,890,797,
531,563,054,401,461,191,299,332,170,136,856,145,659,287,252,235,302,389,302,
430,304,228,117,670,549,234,217,928,465,696,460,568,212,392,288,241,383,654,
454,428,053,155,969,527,682,016,430,194,602,936,630,120,633,077,185,629,063,
119,983,413,813,044,550,185,848,252,060,771,952,786,535,830,401,087,502,827,
345,395,527,896,300,778,823,403,416,993,429,255,150,049,420,321,944,835,243,
424,555,433,371,219,389,366,028,975,326,326,321,864,604,181,825,314,932,463,
497,132,701,444,972,059,614,993,875,371,966,722,822,301,390,854,508,209,331,
916,849,172,282,804,226,236,222,402,392,212,423,651,322,212,222,311,755,848,
817,385,487,030,268,038,376,513,491,567,536,342,923,355,624,137,770,210,321,
037,227,084,845,014,423,960,071,766,777,909,866,420,464,235,452,084,666,978,
240,303,634,299,078,798,204,322,097,317,096,132,717,016,328,859,403,834,361,
526,713,186,390,043,266,036,064,446,359,624,288,345,291,395,858,615,288,977,
106,784,676,724,588,020,329,945,034,465,637,307,529,468,403,368,511,363,319,
478,301,239,769,460,116,234,409,871,728,023,953,036,979,136,022,588,522,939,
293,389,639,214,230,620,295,717,445,076,778,034,189,995,088,682,693,087,184,
234,143,488,938,598,526,444,925,853,055,662,973,274,796,370,935,436,332,996,
718,929,980,128,801,553,983,374,467,514,619,304,887,216,608,358,057,082,796,
746,418,843,416,505,365,463,303,851,962,067,416,454,949,650,895,583,740,275,
258,212,966,625,997,020,164,626,103,575,850,573,068,906,819,780,441,105,520,
608,617,530,632,508,332,502,316,334,251,503,332,022,165,861,573,850,401,438,
602,246,514,697,037,283,089,698,034,003,082,342,860,999,649,547,464,852,323,
262,328,735,010,509,868,160,171,076,011,738,379,701,767,512,855,339,703,384,
325,388,752,100,450,134,264,553,998,254,982,457,132,358,648,563,047,313,485,
625,575,569,249,177,654,513,940,282,078,728,628,160,653,284,380,305,817,388,
680,105,242,534,037,373,849,280,001,205,317,356,535,496,412,817,329,684,194,
559,667,328,642,088,058,920,188,854,968,159,817,379,622,515,630,572,203,858,
021,951,784,645,354,464,195,719,644,558,865,242,031,557,330,494,711,405,107,
337,714,588,738,109,902,529,810,346,655,754,799,419,719,946,845,969,320,254,
671,409,227,641,629,813,164,914,857,606,274,006,346,863,343,734,439,283,016,
899,287,690,470,344,938,896,647,872,112,051,236,559,773,119,316,501,599,386,
441,945,894,635,146,246,135,753,283,047,507,629,407,644,659,692,967,754,549,
254,304,389,987,225,971,510,888,548,519,542,715,677,773,117,004,219,176,769,
362,302,329,528,590,685,916,057,137,232,107,143,556,905,685,815,721,244,269,
610,334,883,145,048,476,937,288,068,982,996,968,162,930,830,493,849,071,817,
993,338,027,284,965,816,658,388,404,671,741,904,027,128,638,726,523,809,230,
722,970,643,565,241,354,827,024,066,500,648,790,714,356,811,450,597,787,991,
559,579,961,954,705,817,307,593,219,069,490,588,519,452,975,144,980,932,200,
599,333,677,507,755,955,141,170,537,669,752,156,701,615,589,130,008,459,187,
989,964,256,616,420,884,928,324,202,441,390,177,013,786,175,849,790,285,410,
089,913,116,736,942,858,102,649,660,776,402,001,421,798,676,766,646,464,380,
185,801,115,425,671,597,707,557,850,596,749,588,825,875,261,870,974,321,217,
470,494,313,952,566,637,174,155,333,769,597,416,904,543,636,723,873,011,799,
113,488,737,836,019,770,910,570,997,898,505,991,923,046,227,744,518,503,654,
668,459,150,004,903,057,068,563,237,856,045,688,933,865,195,970,347,774,228,
590,422,944,583,044,815,106,991,182,332,716,295,994,685,903,974,977,525,769,
355,131,620,679,078,501,662,667,727,494,548,564,100,275,018,365,861,464,658,
382,696,609,169,642,538,874,096,008,505,508,287,473,417,516,250,642,784,188,
069,257,299,311,843,295,992,087,383,001,141,438,124,349,163,814,094,116,657,
076,298,931,088,248,273,882,350,875,874,094,090,486,042,868,422,130,750,782,
036,348,789,918,398,401,961,302,661,063,213,311,411,905,576,491,186,379,308,
443,219,823,311,096,520,289,211,956,184,679,559,110,585,623,175,692,089,116,
965,094,570,332,811,630,187,501,701,830,166,180,416,465,000,339,877,755,575,
718,390,148,768,066,884,026,523,800,660,789,612,221,372,010,942,824,950,358,
028,385,305,192,659,268,735,848,261,139,995,903,349,066,974,115,123,490,401,
722,533,229,768,403,246,719,906,466,928,415,405,980,482,825,539,463,409,834,
634,041,505,705,041,291,047,769,575,326,825,521,219,085,269,194,221,440,580,
840,243,832,345,140,012,644,726,360,640,670,012,389,178,929,615,397,502,128,
834,397,219,236,401,834,016,321,988,255,859,292,908,131,546,727,823,054,624,
495,624,655,418,158,811,030,272,836,516,062,279,432,693,435,518,764,434,913,
369,521,026,618,381,043,783,413,740,524,315,058,681,050,221,929,255,259,267,
388,150,190,965,735,637,557,124,349,205,685,621,010,950,625,844,155,755,726,
434,855,280,475,506,871,257,077,571,931,304,231,690,464,270,731,838,612,535,
277,399,302,344,099,855,473,767,459,549,749,070,240,655,308,512,271,784,461,
660,603,970,286,428,022,351,729,898,368,495,103,213,297,366,942,657,766,421,
385,363,692,625,897,125,216,766,042,954,906,775,746,026,579,343,426,548,483,
823,817,747,906,580,839,931,152,193,777,960,042,098,471,412,861,411,104,995,
519,804,126,537,221,771,501,643,573,277,719,515,116,118,529,399,338,106,146,
730,088,570,407,751,330,311,714,405,985,633,292,740,172,568,679,205,783,404,
904,529,036,298,911,964,254,821,900,213,016,892,482,018,157,884,010,288,138,
521,471,797,894,465,124,198,328,908,574,124,541,894,358,395,181,084,660,075,
522,837,288,686,895,081,683,801,124,717,721,078,073,252,068,978,497,325,167,
861,961,117,383,558,652,444,313,512,842,305,214,097,058,446,743,504,567,818,
703,332,107,977,413,314,531,034,380,219,896,200,380,264,658,245,494,645,803,
613,934,464,756,640,099,280,278,958,961,796,206,675,693,076,935,165,843,602,
863,162,489,412,918,714,672,681,242,641,761,964,878,706,587,167,573,263,166,
166,086,958,782,691,392,786,305,378,131,325,391,966,225,497,867,459,130,695,
090,118,199,880,702,533,195,872,652,374,998,905,159,924,440,697,157,360,665,
726,785,997,627,785,547,716,652,513,702,983,255,238,250,782,619,607,276,807,
750,662,688,728,834,471,945,493,847,250,995,020,800,424,291,687,487,061,060,
716,158,280,010,084,734,111,505,185,476,458,789,477,945,361,297,590,731,360,
165,731,174,337,427,151,802,984,442,004,318,703,998,022,625,262,611,750,593,
367,356,926,529,246,073,407,452,696,116,349,862,965,145,924,739,341,410,534,
689,027,685,438,333,860,630,787,885,729,108,950,219,899,409,642,885,827,509,
832,081,940,041,692,309,347,635,084,658,569,892,377,951,174,874,327,664,956,
476,602,370,414,742,795,415,920,863,232,842,395,093,358,695,895,601,936,614,
427,688,149,085,016,280,793,976,213,064,219,892,958,159,561,056,864,585,784,
534,758,643,961,591,495,580,070,876,845,023,114,122,117,959,730,439,319,201,
781,914,195,965,303,325,567,784,561,392,067,811,632,054,704,437,667,469,013,
223,772,714,141,078,831,858,147,225,221,512,253,848,517,069,765,644,654,305,
469,201,903,515,652,712,495,393,203,041,793,483,882,567,486,852,895,426,639,
780,004,259,394,100,109,709,401,997,404,424,471,228,919,081,974,529,549,895,
977,017,265,165,999,726,753,892,291,418,413,261,427,735,315,790,826,470,528,
171,028,467,995,353,969,700,610,314,511,166,161,484,838,013,810,893,639,054,
439,010,762,163,616,246,606,100,533,441,191,036,356,376,458,989,123,325,227,
814,568,784,279,751,458,974,168,776,503,070,667,192,488,196,798,933,263,282,
526,885,250,965,529,120,120,220,923,057,690,032,442,834,520,821,768,377,397,
785,837,947,547,083,190,154,022,499,598,946,195,181,215,321,158,207,259,967,
998,725,897,244,246,346,426,247,109,212,686,805,024,740,263,923,084,286,107,
457,318,146,770,992,554,770,429,551,396,646,446,631,111,617,924,731,167,972,
833,096,256,261,864,905,157,025,215,170,422,252,322,991,275,338,192,563,153,
971,022,156,722,739,667,329,818,657,317,722,408,476,563,806,326,029,522,069,
931,892,013,107,515,417,814,510,193,519,831,918,659,328,894,171,975,987,901,
592,166,969,475,669,573,239,412,603,308,425,203,741,607,982,172,317,411,374,
635,421,687,751,202,583,854,551,515,741,255,376,445,603,545,420,621,345,642,
051,403,639,913,638,659,524,716,554,790,322,006,952,218,065,793,247,793,583,
588,941,930,384,057,425,655,973,918,856,504,680,962,587,466,827,435,021,623,
061,297,687,737,740,179,458,932,670,611,891,860,372,651,329,965,876,871,797,
629,555,538,400,998,744,691,312,047,707,068,702,135,540,486,082,438,112,246,
380,109,219,816,521,630,770,382,868,431,172,617,455,876,952,499,010,553,947,
032,191,034,571,069,722,068,477,007,520,253,905,789,954,842,197,057,399,703,
434,357,134,592,944,334,629,408,362,530,839,678,856,642,704,187,174,255,309,
370,525,498,560,000,040,887,293,782,783,947,008,893,213,485,600,959,474,793,
810,592,088,251,952,302,430,543,255,471,126,683,893,073,942,612,708,317,718,
125,437,820,732,894,031,538,888,354,895,626,828,188,485,327,876,287,865,706,
268,453,340,536,580,071,106,386,923,799,863,881,496,192,976,077,156,942,496,
208,400,510,847,749,484,561,586,751,615,796,781,829,675,275,854,600,613,934,
212,497,285,816,267,944,970,082,857,249,256,491,214,585,316,109,210,609,502,
319,634,217,868,371,367,243,405,637,586,161,376,571,534,744,294,765,010,459,
702,554,369,283,668,328,089,436,380,382,526,815,049,282,452,514,149,044,022,
937,263,570,640,849,963,559,399,239,938,291,812,240,758,153,104,147,290,791,
661,040,323,491,872,955,033,782,794,782,617,413,351,889,003,713,358,680,868,
821,519,433,801,745,429,389,692,985,666,904,455,191,946,890,024,900,885,419,
778,715,209,999,296,219,235,196,672,296,157,364,559,066,222,067,659,924,221,
217,915,867,896,664,070,413,489,461,299,830,408,288,051,086,037,718,906,428,
689,039,762,335,452,524,612,720,283,839,830,697,443,414,195,147,903,664,455,
385,729,065,559,452,182,475,135,236,768,042,934,258,941,498,705,397,890,776,
625,400,580,534,440,184,691,302,944,117,252,973,717,150,893,161,047,739,188,
444,417,748,490,286,652,167,621,140,597,679,161,879,765,543,358,725,253,594,
305,344,568,098,309,903,654,517,695,717,501,290,250,564,651,494,632,368,943,
108,810,930,194,751,887,245,578,407,329,467,056,184,245,266,383,820,729,846,
893,218,433,198,196,944,880,894,609,002,899,343,240,423,947,084,288,803,913,
929,736,483,850,450,807,265,355,927,662,951,325,056,439,635,933,718,879,757,
916,360,703,791,444,739,758,092,425,863,789,768,177,914,604,828,021,692,612,
208,657,662,988,627,089,542,710,686,763,870,889,688,762,919,848,510,630,478,
210,302,714,880,560,137,890,738,339,522,613,159,998,496,546,039,663,924,391,
349,839,987,038,417,795,258,176,877,171,457,506,788,073,519,197,590,226,842,
139,449,943,046,900,653,960,347,481,960,213,517,687,556,530,646,148,812,083,
377,659,725,888,873,023,092,248,703,687,070,959,418,183,909,147,251,576,001,
643,035,291,501,155,432,094,443,525,975,520,977,544,941,514,144,463,704,724,
482,339,774,171,579,845,306,039,916,274,984,110,680,101,441,876,945,085,673,
618,121,393,307,586,838,067,348,303,007,089,991,662,791,032,002,561,495,231,
257,163,824,529,642,654,900,002,394,383,292,368,248,073,038,108,609,862,521,
621,699,414,668,828,036,951,359,404,287,577,490,803,812,883,383,414,073,377,
347,623,675,530,501,450,260,535,765,425,557,068,867,785,862,504,014,652,487,
312,921,536,556,647,538,172,152,931,924,774,838,831,479,325,129,895,613,580,
114,093,948,648,381,739,304,618,381,033,225,816,070,742,946,881,710,171,533,
684,809,707,336,700,495,404,792,465,161,481,462,440,676,977,544,398,052,779,
349,664,979,208,927,195,518,179,458,239,374,552,738,292,907,722,086,951,413,
378,929,522,468,230,281,697,409,874,577,239,148,327,028,964,418,922,444,393,
079,436,771,420,258,263,554,385,428,671,510,050,224,934,868,509,181,393,702,
425,932,429,228,360,115,092,357,339,050,629,465,970,838,476,591,397,442,199,
504,906,575,965,426,751,092,450,242,727,252,612,674,086,235,392,889,620,431,
144,549,911,418,114,065,740,998,001,643,944,566,579,190,283,236,990,441,498,
704,411,506,239,142,232,639,962,779,075,807,312,637,576,342,796,072,339,701,
786,012,059,194,340,865,310,259,382,842,458,540,549,901,287,649,277,117,722,
734,049,516,020,113,207,984,721,120,774,691,162,542,959,036,753,644,859,895,
143,520,775,555,765,149,146,102,534,636,952,691,792,573,319,791,883,876,132,
229,684,870,784,284,458,641,152,708,929,541,624,520,431,050,462,416,270,178,
607,239,383,936,972,002,330,896,859,420,772,611,889,559,664,823,848,359,492,
652,920,846,444,342,039,660,059,460,311,040,703,152,549,502,987,403,621,030,
760,139,045,225,090,848,122,684,153,164,490,819,630,160,649,802,073,729,020,
494,960,202,127,624,248,059,529,368,743,880,406,822,554,445,886,671,758,297,
073,261,403,039,844,637,906,445,373,150,511,259,465,004,835,310,585,172,700,
222,426,328,240,813,408,858,267,260,691,000,954,934,122,891,013,006,579,927,
694,126,264,327,146,528,405,680,796,613,740,236,101,889,172,101,753,051,078,
995,237,209,453,828,409,709,556,747,868,348,695,425,673,201,248,504,247,322,
928,613,629,876,399,759,123,666,312,885,367,057,872,807,016,557,917,761,527,
845,391,030,180,918,543,963,681,092,358,464,210,706,077,018,530,002,489,417,
233,116,064,927,467,392,277,091,523,352,662,680,590,469,357,062,014,240,662,
387,447,933,485,135,343,797,687,927,579,731,279,693,223,676,348,626,526,091,
257,654,628,759,093,977,278,535,104,228,726,104,367,192,225,153,656,893,424,
633,660,927,819,565,174,269,229,501,120,530,561,286,541,761,519,720,741,406,
664,860,172,474,752,634,634,422,491,574,881,625,169,248,950,882,239,182,535,
987,141,033,556,199,654,306,072,832,380,915,850,424,943,169,198,436,148,086,
578,441,110,856,702,350,141,494,523,905,589,233,800,758,432,666,791,078,603,
124,030,946,106,963,460,836,478,740,552,997,784,732,634,891,862,234,523,642,
799,997,841,643,137,180,413,824,665,350,245,732,884,185,113,270,973,104,565,
931,812,818,044,607,174,228,863,472,388,570,675,376,641,129,957,723,281,959,
113,972,945,508,266,599,503,107,519,037,027,959,449,200,306,026,912,893,731,
766,266,520,561,869,424,729,309,091,958,968,442,569,859,396,299,777,403,185,
379,262,723,315,633,844,110,384,276,043,699,351,388,190,713,568,592,545,741,
398,444,452,622,993,403,437,870,880,520,639,767,050,583,498,715,576,920,565,
564,563,163,675,871,135,499,651,948,856,033,530,703,262,214,084,715,110,642,
880,934,589,268,750,709,364,088,774,657,244,754,507,656,765,883,568,969,889,
501,575,956,096,967,289,040,406,051,217,408,599,169,481,619,774,721,833,359,
553,814,606,735,069,800,592,545,067,661,500,793,241,760,447,063,314,127,650,
661,419,651,736,319,916,709,107,357,699,523,262,235,620,314,406,407,156,250,
692,208,928,397,653,651,966,323,509,560,497,118,772,678,888,527,511,264,917,
037,145,759,811,420,689,273,873,656,436,135,928,725,462,415,547,487,344,591,
677,409,225,515,366,127,743,736,879,453,973,455,334,667,430,149,562,136,113,
302,654,059,121,949,417,726,662,792,111,785,025,581,492,268,784,751,551,628,
476,648,684,259,518,362,854,289,081,686,398,547,498,048,618,918,004,679,721,
644,861,218,956,539,098,120,004,789,363,309,381,914,786,182,788,417,501,529,
233,679,484,093,468,039,536,905,544,365,807,896,027,660,363,713,981,652,879,
899,150,594,765,025,471,473,019,066,632,383,728,533,075,980,529,833,889,474,
446,634,454,516,239,229,231,494,079,590,936,865,477,592,210,838,735,841,857,
201,338,762,555,979,687,177,269,099,595,119,138,125,289,190,719,976,422,760,
404,780,156,651,412,861,310,982,842,505,747,252,157,293,068,586,854,016,923,
467,251,349,677,923,445,805,926,663,665,883,082,166,066,123,127,775,797,833,
856,389,097,108,499,381,914,988,481,723,780,962,905,194,865,962,192,429,055,
251,326,157,301,482,220,690,475,427,637,855,374,530,265,332,479,046,678,807,
840,834,880,474,035,808,652,455,286,172,328,028,323,957,924,622,154,845,618,
981,424,282,306,251,843,600,895,562,498,347,447,385,180,252,144,276,091,517,
394,054,346,581,496,475,211,989,619,282,136,071,226,652,869,481,036,327,366,
293,270,821,120,107,883,713,851,899,750,771,548,602,123,524,305,578,589,588,
789,262,323,247,553,673,873,723,862,081,773,031,990,690,632,629,209,674,304,
506,169,503,952,094,967,032,810,286,879,411,720,745,965,604,555,102,013,718,
235,078,188,955,738,425,835,702,487,041,865,507,758,336,888,323,174,569,262,
468,211,177,987,203,327,969,619,298,842,140,864,331,477,573,105,089,107,488,
766,133,509,708,919,944,763,332,786,162,268,301,978,486,274,890,032,434,626,
226,660,074,095,631,928,987,795,897,351,084,402,752,373,287,957,450,229,631,
031,720,287,289,747,070,826,391,042,650,247,806,662,757,963,415,495,199,669,
698,532,566,138,915,507,972,871,892,339,591,527,371,283,121,667,847,931,323,
811,788,528,492,675,134,817,603,697,334,034,546,376,794,014,599,697,123,631,
485,440,669,906,434,739,284,596,904,937,249,244,067,987,985,366,401,538,474,
748,547,942,787,642,469,467,694,860,250,871,191,651,898,101,550,753,651,201,
591,889,632,465,818,664,890,903,933,550,376,925,411,877,715,786,032,657,573,
497,357,365,067,676,448,982,856,384,015,161,808,051,135,096,080,186,126,530,
908,551,081,621,655,643,406,530,364,408,880,470,530,956,329,549,602,729,286,
448,244,401,180,808,040,891,460,603,428,686,169,324,348,360,801,700,668,685,
986,524,893,225,199,567,515,662,032,831,125,451,552,237,971,912,651,041,456,
864,217,483,623,946,223,852,704,339,142,296,193,406,720,235,893,035,660,324,
307,902,782,341,057,037,437,449,067,865,130,873,801,386,856,959,529,518,965,
709,097,211,630,901,475,144,845,912,587,452,108,150,303,170,295,543,561,883,
640,853,572,281,820,641,987,787,116,574,943,426,775,753,422,880,039,374,332,
124,459,537,176,730,058,423,386,588,428,526,690,331,208,508,027,186,766,195,
729,418,272,531,537,095,754,612,427,154,456,473,120,320,631,277,166,003,593,
646,248,508,221,397,205,953,738,390,857,824,140,074,512,264,623,606,398,172,
696,158,273,377,308,579,175,686,786,538,297,142,731,582,652,570,047,783,657,
747,153,364,490,948,571,871,690,319,153,439,845,824,144,479,671,780,440,432,
694,661,878,768,020,408,827,738,153,314,628,718,258,264,134,893,708,682,254,
055,107,135,840,158,798,984,819,688,395,384,038,267,429,150,277,372,782,007,
059,153,809,782,395,045,816,632,447,615,868,866,108,872,400,080,887,006,227,
524,648,290,361,603,252,672,854,224,642,466,453,562,157,927,713,532,283,794,
419,517,652,118,725,392,761,663,099,788,124,860,002,259,234,523,582,482,473,
496,957,437,314,405,465,185,303,930,006,665,443,819,554,620,596,494,052,052,
398,422,653,594,090,744,290,253,380,113,731,621,892,690,177,390,605,513,873,
546,240,846,328,832,418,887,179,638,688,716,184,798,733,353,000,605,951,693,
514,686,762,707,196,583,423,546,958,096,136,605,548,944,319,310,706,707,348,
182,529,436,371,166,082,575,688,056,282,440,635,976,255,738,534,491,905,833,
832,276,086,524,085,271,786,321,693,133,570,394,901,666,783,243,848,644,202,
202,994,282,638,052,444,737,652,327,748,799,744,778,262,875,785,093,348,827,
209,604,048,120,177,609,362,923,516,408,887,996,641,203,009,846,276,704,602,
117,529,525,816,473,793,061,710,642,498,831,586,868,006,389,023,382,420,927,
763,231,467,264,433,960,775,719,935,227,446,710,481,670,046,278,881,098,631,
087,176,957,759,268,238,824,567,236,717,360,856,866,188,525,940,613,061,038,
540,361,086,279,992,508,724,785,017,920,825,313,216,917,611,719,650,574,284,
977,643,158,668,875,041,772,406,048,241,692,473,200,669,347,528,342,168,735,
652,476,770,161,417,532,587,232,725,067,504,892,285,303,101,994,379,414,325,
261,874,079,829,109,808,285,379,125,678,649,430,887,483,438,620,773,928,808,
228,703,264,331,542,232,522,544,115,982,323,891,415,926,202,788,808,579,452,
607,917,663,487,839,395,168,563,449,851,722,138,468,526,417,781,923,751,239,
710,503,151,446,124,990,794,387,027,249,248,086,287,398,052,329,827,357,799,
524,901,793,089,332,831,845,510,098,796,712,498,840,505,574,697,774,484,240,
262,391,596,882,991,357,914,126,616,716,634,096,036,698,197,292,053,809,014,
275,975,580,487,799,127,112,660,761,142,919,908,587,350,684,483,280,545,965,
077,890,404,525,209,314,666,387,359,351,232,474,035,422,019,585,709,139,909,
673,698,259,792,284,719,156,011,677,326,907,883,524,129,479,217,393,136,634,
848,756,858,502,250,379,913,831,196,441,532,524,725,906,154,298,689,776,457,
632,421,405,442,439,419,756,392,387,487,555,306,353,012,062,475,845,308,761,
489,535,610,520,947,528,548,508,964,170,398,280,651,606,598,529,228,091,854,
401,175,169,273,804,836,862,374,886,245,156,143,460,929,046,078,088,507,617,
602,567,437,500,815,703,914,553,860,780,800,463,288,208,409,288,892,878,482,
188,710,722,946,553,816,991,769,937,117,280,396,783,266,509,659,979,693,616,
266,031,927,863,176,575,543,113,917,595,376,100,777,319,807,361,133,245,537,
126,893,213,480,869,555,685,704,402,954,397,601,816,506,585,928,143,555,388,
704,622,720,230,962,457,819,674,420,333,472,506,192,474,039,240,830,037,094,
837,353,149,576,467,044,790,344,039,799,401,092,762,132,022,645,246,481,631,
027,599,878,430,577,691,674,584,565,875,067,665,262,999,898,630,779,389,606,
634,208,278,682,357,938,471,430,634,022,214,958,518,322,119,860,379,724,958,
642,457,857,947,090,051,843,181,340,741,218,313,983,553,228,861,105,566,510,
315,129,668,282,754,327,724,744,437,573,756,648,001,075,393,092,117,055,571,
077,801,467,051,316,125,367,518,061,040,043,399,855,272,332,236,591,480,147,
136,647,314,048,077,535,062,500,734,431,277,609,638,156,340,646,224,894,527,
666,433,153,444,338,164,633,797,578,353,239,032,471,661,143,828,501,890,143,
645,490,683,350,075,409,304,163,055,694,862,551,074,109,101,546,511,485,067,
718,062,356,575,872,244,982,689,975,931,958,560,366,084,595,709,907,860,354,
247,440,022,370,597,958,727,893,117,313,056,904,308,210,574,020,656,128,855,
766,698,690,058,146,827,029,890,253,813,268,864,055,829,469,069,364,580,459,
358,968,637,815,973,184,993,653,088,549,504,928,587,799,338,179,039,740,482,
340,130,930,530,911,496,563,938,433,499,703,292,567,291,239,266,244,259,149,
891,323,264,530,768,621,314,320,006,805,566,111,254,353,100,715,393,371,177,
528,770,372,587,732,726,616,512,367,718,719,014,613,046,541,958,961,147,612,
843,554,975,192,097,942,904,511,770,723,091,864,984,446,355,310,399,085,033,
359,111,074,839,987,139,065,602,210,471,291,930,556,658,672,614,877,026,434,
562,350,729,619,578,546,895,112,354,880,049,633,611,941,820,480,352,458,703,
354,889,346,684,788,775,336,351,316,437,975,335,015,036,012,012,836,890,790,
047,079,126,671,145,488,715,159,150,611,975,898,310,796,470,229,191,829,879,
228,082,435,114,042,141,887,708,641,030,221,297,496,029,498,200,653,027,272,
410,915,646,116,353,480,637,744,495,910,413,156,592,533,706,527,425,482,255,
830,593,677,972,569,255,436,388,508,699,347,870,636,940,185,428,748,942,573,
567,251,489,016,234,563,119,052,509,377,225,464,350,416,817,691,547,951,852,
306,911,691,028,723,498,283,686,058,759,816,934,676,345,791,695,419,139,103,
781,347,541,663,116,013,369,814,712,699,114,929,748,782,622,966,108,344,656,
727,331,298,802,007,967,414,922,301,840,126,064,076,140,019,483,440,165,130,
323,934,404,100,418,711,020,034,139,105,679,218,741,261,626,468,184,393,948,
613,009,813,165,977,548,401,350,741,485,434,678,448,656,040,194,218,979,402,
173,869,253,360,748,836,801,562,637,781,952,849,784,911,666,023,334,914,553,
512,166,757,559,602,110,132,852,416,418,522,837,393,663,248,815,658,756,469,
415,348,590,884,934,099,576,124,570,562,709,609,957,084,270,455,729,545,299,
987,245,854,443,938,820,299,891,571,154,160,017,813,783,372,396,792,265,822,
311,198,996,817,217,442,433,037,117,955,141,047,009,909,104,231,914,299,281,
159,694,375,855,691,621,659,516,728,580,229,331,821,787,654,230,039,045,826,
789,560,862,622,772,456,521,861,988,696,735,637,644,437,033,703,995,882,282,
588,843,954,495,437,942,991,650,760,607,027,947,062,054,132,128,500,946,566,
630,148,723,309,466,462,319,911,340,060,858,808,891,874,899,492,712,277,578,
140,517,803,185,004,364,363,601,599,473,185,729,890,499,084,971,578,109,585,
427,396,847,769,965,905,738,078,756,365,734,933,093,402,389,488,779,242,600,
334,592,096,020,620,357,655,851,492,378,797,668,151,419,547,230,187,474,392,
047,959,625,953,665,811,846,680,137,389,860,949,305,027,373,917,938,083,421,
758,862,895,083,295,995,204,606,483,649,726,618,166,436,746,172,123,462,726,
424,664,245,319,398,894,811,423,226,342,848,014,823,865,386,127,832,052,026,
849,064,833,884,819,835,770,551,110,445,259,186,159,698,660,335,662,203,480,
587,904,220,218,959,900,199,490,208,338,385,895,114,486,345,947,930,218,944,
029,558,976,363,513,831,276,035,823,361,935,673,813,338,003,792,313,583,752,
971,306,953,755,172,557,989,694,402,423,708,431,445,977,796,180,773,747,005,
650,523,028,027,134,007,925,633,071,106,950,155,719,723,005,010,261,423,954,
630,090,597,158,233,016,610,515,569,802,712,453,486,995,034,756,439,726,905,
020,561,274,860,225,140,612,344,043,174,783,813,571,745,619,712,233,976,582,
336,932,965,848,538,607,850,811,108,198,468,616,838,730,005,794,885,619,550,
930,313,110,872,297,662,916,740,721,943,530,705,302,445,047,763,374,243,437,
942,502,837,338,381,787,728,253,234,081,347,810,362,256,435,035,750,657,558,
510,703,565,311,433,009,541,863,216,223,320,949,510,087,096,023,010,542,241,
023,370,117,416,401,604,685,440,487,834,906,210,515,286,521,761,757,942,997,
039,761,103,693,341,634,523,282,717,670,527,218,974,479,707,927,548,622,083,
773,997,161,553,313,643,390,016,004,105,573,160,450,390,145,535,505,978,848,
725,354,346,282,367,028,659,101,770,721,584,764,227,985,648,565,669,575,630,
826,648,340,115,074,862,052,654,346,814,957,213,336,072,362,198,725,074,194,
932,323,385,883,788,468,122,173,762,672,069,535,972,213,916,833,304,869,635,
944,477,665,202,708,373,750,474,209,017,572,791,769,122,145,492,281,799,166,
179,227,843,471,518,289,538,277,704,374,705,033,359,083,143,904,045,357,726,
842,968,187,580,557,744,578,586,080,516,071,178,270,410,958,010,745,206,920,
165,944,100,430,754,555,411,125,814,853,374,295,254,393,626,434,169,881,768,
190,097,007,227,790,123,883,039,822,045,662,957,702,290,108,720,077,352,966,
619,143,218,485,539,882,207,130,941,593,936,886,264,524,129,146,966,204,464,
537,450,692,916,081,789,488,163,828,036,338,244,468,507,075,487,836,858,461,
644,382,377,883,330,817,037,697,771,634,762,365,367,101,540,779,829,088,999,
018,760,295,959,771,935,548,070,082,580,655,435,622,653,096,684,421,388,822,
234,583,356,521,019,446,282,353,663,330,458,844,537,408,794,278,025,612,924,
637,549,652,638,133,895,023,155,005,394,166,193,335,686,666,659,044,265,011,
315,659,414,335,936,745,007,570,846,594,692,969,544,374,830,435,099,561,749,
254,527,164,565,664,345,462,493,529,830,230,745,183,055,698,211,424,978,194,
651,037,000,118,677,745,030,125,990,617,480,994,859,935,806,172,780,777,260,
151,028,286,863,456,455,176,152,224,430,626,983,902,166,544,758,163,337,960,
276,588,510,047,927,289,703,693,333,049,089,044,818,079,653,691,708,143,802,
369,315,918,824,576,779,468,262,508,050,353,559,710,494,584,584,302,377,978,
105,466,978,048,475,412,729,561,028,105,756,378,341,235,631,636,330,713,552,
244,567,130,279,367,866,176,037,545,392,355,178,124,238,563,893,859,763,245,
256,527,999,310,682,649,205,632,055,191,709,716,823,080,149,151,197,097,243,
470,446,219,135,663,580,146,093,051,474,729,535,834,044,288,830,751,286,440,
303,965,221,143,115,926,948,922,564,429,870,904,806,868,465,700,528,815,073,
942,505,238,102,082,749,856,604,713,402,578,381,192,688,922,324,645,585,005,
610,266,640,871,603,588,285,951,806,220,367,730,809,459,211,592,516,673,460,
450,336,557,231,679,901,003,076,770,215,242,323,243,838,090,332,137,307,153,
672,941,568,147,038,374,564,190,948,963,863,127,580,916,605,753,030,189,903,
137,653,467,595,428,671,812,770,773,226,793,346,467,783,258,914,124,303,304,
595,067,623,083,905,840,860,418,077,167,912,020,187,203,142,493,794,326,491,
890,720,423,100,052,897,492,439,550,570,603,894,556,191,679,879,869,374,190,
761,521,054,043,706,330,141,020,356,098,644,683,789,488,894,681,399,795,965,
366,412,800,769,314,814,948,731,802,625,735,107,841,568,762,991,109,319,887,
826,137,152,948,016,772,777,552,759,240,291,830,288,400,280,975,714,397,615,
763,048,089,879,972,431,698,805,790,933,495,046,715,070,561,541,664,652,318,
030,085,429,629,246,390,827,861,129,132,712,503,434,313,403,383,959,683,081,
469,793,260,981,305,201,914,056,384,400,587,639,971,839,140,574,157,721,181,
632,630,684,239,153,568,373,718,533,920,510,139,917,895,458,367,808,923,430,
149,921,754,354,462,796,255,229,471,776,969,892,562,087,191,837,813,629,564,
110,180,817,230,498,684,329,306,610,489,299,701,626,326,455,086,290,864,243,
989,610,159,714,861,381,979,903,656,350,020,600,634,460,494,339,918,947,747,
496,340,527,629,991,667,508,135,459,806,420,325,362,095,701,856,282,742,041,
571,675,447,846,645,038,202,723,998,794,133,788,476,011,564,817,775,713,544,
821,928,365,845,088,051,139,043,158,760,385,914,569,780,368,245,341,614,562,
240,726,237,140,143,205,951,568,542,838,228,955,267,025,870,304,279,460,340,
792,330,114,541,383,041,999,359,250,228,043,688,947,149,406,804,042,124,650,
040,879,018,459,743,184,749,156,242,174,592,342,501,471,652,128,578,517,638,
720,851,471,221,624,759,474,046,421,673,996,447,698,183,052,471,880,155,833,
553,514,671,696,291,899,297,437,442,149,379,648,998,304,468,634,051,406,452,
821,610,405,103,204,324,674,964,537,946,784,548,572,836,411,869,316,423,915,
960,835,219,304,690,543,282,956,855,464,026,382,709,755,277,505,653,043,755,
282,210,442,500,741,285,299,734,634,027,431,257,189,966,680,699,113,090,906,
991,170,363,829,959,393,272,546,014,068,700,600,162,176,213,492,320,303,717,
765,906,283,947,251,733,639,932,006,265,058,062,209,498,283,220,377,621,904,
526,060,604,051,985,200,102,975,205,388,931,342,250,969,630,170,272,234,224,
708,722,176,335,832,780,857,411,498,836,484,648,085,173,911,143,237,263,551,
905,085,356,274,059,200,995,750,469,346,021,826,606,915,290,378,780,277,246,
640,691,309,312,255,287,110,680,775,041,482,992,845,953,733,634,285,433,750,
017,662,588,686,917,855,991,725,839,971,815,232,331,299,556,559,251,938,931,
937,987,536,990,659,458,560,036,744,943,942,986,842,910,968,070,745,512,180,
053,202,900,240,024,510,120,368,533,734,057,768,552,006,428,810,650,643,974,
445,072,064,556,799,261,068,438,065,865,277,690,455,836,742,343,490,373,618,
096,101,267,207,831,682,661,095,579,533,185,870,197,248,762,332,053,039,822,
068,432,356,104,259,523,953,891,962,851,236,834,024,996,047,839,218,028,748,
391,345,916,860,558,683,600,623,676,146,248,086,570,181,545,683,014,441,671,
405,443,920,815,949,077,860,249,552,531,146,109,889,143,084,237,675,614,131,
015,866,210,593,165,041,287,670,813,890,933,848,475,892,394,241,358,587,935,
763,443,550,859,253,272,003,591,033,203,528,495,726,997,835,762,112,589,823,
748,003,656,490,156,679,534,252,063,065,845,633,472,612,213,312,034,798,686,
169,509,115,347,751,711,425,431,843,413,063,602,644,323,595,960,545,852,442,
182,087,046,608,457,245,895,980,495,615,343,762,191,686,220,144,856,422,370,
748,072,043,209,156,813,858,073,401,407,608,805,555,755,165,531,724,599,023,
914,854,920,376,565,884,527,669,515,480,909,558,992,280,657,028,246,636,317,
580,874,456,718,715,367,494,744,350,357,807,379,247,988,630,070,671,048,998,
046,859,132,053,723,312,901,069,946,883,285,661,955,251,526,417,671,274,154,
928,844,264,296,308,774,171,767,864,110,719,846,699,826,145,253,716,274,659,
240,553,403,715,999,181,947,697,691,859,504,413,394,965,219,498,847,928,910,
503,549,217,079,099,436,805,049,014,357,307,113,035,952,235,215,556,428,613,
410,455,154,366,874,803,430,815,284,201,490,531,957,463,847,086,757,046,253,
925,142,012,733,342,590,123,093,135,519,971,588,317,027,087,945,202,676,525,
005,506,588,683,255,074,640,062,226,251,508,729,043,440,598,278,783,445,380,
651,074,338,690,153,842,013,398,836,705,132,070,858,412,294,847,868,194,244,
299,020,282,292,172,070,498,742,850,962,071,552,717,867,848,450,109,850,327,
585,318,565,448,755,192,642,767,429,928,020,939,102,597,556,412,636,780,302,
927,623,449,052,344,593,113,476,504,220,776,848,094,894,460,464,461,177,535,
284,312,557,106,894,243,194,363,941,244,193,049,738,847,356,612,866,310,439,
570,753,725,990,297,131,552,423,040,408,245,130,719,169,161,885,467,875,299,
688,587,453,531,766,556,721,117,428,360,727,232,477,758,741,710,749,902,424,
217,545,177,326,640,662,925,082,734,354,974,293,646,815,416,151,498,372,132,
929,804,058,513,182,646,394,715,942,408,793,921,864,358,931,265,132,260,304,
125,166,001,811,447,184,930,080,899,391,057,938,671,972,135,093,530,290,557,
351,043,948,761,037,122,582,818,723,067,010,429,095,956,529,458,678,133,016,
157,692,500,824,409,233,240,220,054,036,222,859,933,000,272,800,999,458,554,
067,298,217,879,239,616,408,595,988,607,277,635,225,888,478,216,264,731,602,
534,440,847,692,242,398,136,097,332,923,557,660,066,937,899,199,984,504,376,
467,957,308,065,075,243,149,318,534,207,715,812,364,704,944,909,416,916,785,
452,936,445,379,362,744,137,761,285,740,110,916,505,857,444,161,614,114,205,
825,473,719,289,803,638,830,258,553,857,029,070,808,691,477,037,763,542,675,
255,335,995,425,516,020,008,028,203,105,288,826,735,081,893,576,228,219,812,
299,238,248,181,692,951,102,920,108,700,239,042,937,699,251,762,438,191,139,
838,579,780,280,174,399,215,832,132,589,298,670,169,791,760,606,951,169,286,
915,177,576,697,961,850,174,997,624,525,865,613,616,098,370,806,723,066,337,
180,605,126,796,006,775,038,832,388,850,707,397,647,724,382,445,152,146,545,
286,406,212,618,193,006,390,467,469,567,657,803,888,104,806,286,226,815,757,
991,961,263,741,462,362,296,432,643,297,273,842,093,652,931,305,703,442,206,
090,645,492,832,282,366,373,723,259,054,885,204,127,878,817,364,414,787,485,
140,296,837,984,427,718,779,085,013,830,324,853,679,032,104,511,430,364,972,
336,277,664,496,806,767,261,661,727,552,125,873,398,619,414,808,075,489,737,
313,518,376,556,774,869,533,377,310,734,306,768,652,394,898,810,722,276,473,
872,261,422,366,761,246,434,798,978,220,313,771,590,911,457,914,263,086,267,
200,762,985,275,099,294,303,476,462,521,726,332,776,311,028,355,052,635,157,
512,800,029,756,145,628,266,659,700,621,513,781,690,354,194,693,461,999,255,
029,030,865,950,472,415,421,741,416,640,732,268,397,979,226,657,218,400,743,
800,520,641,013,856,016,381,774,789,708,139,349,187,483,638,265,620,262,470,
582,517,020,540,171,458,139,642,145,586,570,566,781,806,270,219,264,374,903,
020,819,542,678,846,252,057,989,464,386,400,420,983,415,706,728,412,471,492,
867,369,042,049,667,026,442,135,250,112,469,618,660,692,822,047,686,549,919,
366,917,262,194,438,680,376,331,683,884,613,947,406,458,067,487,012,168,776,
369,533,994,531,616,028,327,758,187,288,435,414,961,137,196,320,293,472,366,
128,291,081,147,552,785,575,714,736,530,121,550,304,907,946,682,108,332,715,
392,212,549,685,583,381,806,479,705,521,545,961,182,433,066,967,680,227,981,
039,461,258,029,293,264,887,790,725,955,422,308,135,108,023,922,039,356,243,
619,675,076,169,239,985,496,880,513,891,493,377,184,067,207,864,935,418,547,
609,220,002,563,067,479,274,757,742,473,644,232,726,085,190,051,213,938,489,
864,070,653,107,609,811,294,088,980,975,381,748,886,045,428,251,019,545,038,
127,107,424,500,566,276,112,854,805,197,478,183,211,515,070,574,872,742,455,
540,664,949,092,887,700,056,360,787,139,676,577,179,980,008,420,194,528,360,
121,601,786,372,203,133,543,737,529,888,863,798,421,230,501,601,796,192,832,
829,593,739,126,794,076,124,271,574,670,148,183,355,761,597,912,101,103,542,
118,259,344,596,920,111,154,452,812,405,512,487,307,774,317,681,067,766,169,
893,707,244,827,400,838,643,258,514,187,184,121,452,335,989,048,216,471,181,
420,988,559,979,803,535,246,602,735,360,129,412,832,262,414,566,583,872,897,
699,330,484,341,951,401,025,015,229,623,355,071,397,915,925,453,562,884,699,
329,810,963,280,397,374,297,613,787,237,427,698,688,158,538,293,166,547,509,
200,225,984,999,790,875,980,280,945,775,010,870,616,590,281,225,658,339,128,
595,853,162,089,257,705,589,543,793,823,729,169,737,036,552,043,839,688,325,
984,304,898,252,222,377,046,293,539,615,379,482,481,462,707,623,048,016,541,
680,402,870,077,784,945,243,019,921,318,026,106,812,706,511,097,301,773,465,
179,519,662,731,964,546,256,691,791,831,177,864,932,421,915,595,244,815,387,
311,183,127,499,030,038,638,636,285,674,296,045,383,394,639,665,349,913,483,
553,470,709,346,381,843,953,013,351,777,041,563,756,673,669,807,835,388,959,
184,526,761,573,711,765,393,140,735,782,142,929,477,157,890,964,687,940,936,
819,394,601,045,006,855,802,199,037,444,551,015,594,386,730,615,545,728,211,
379,014,855,456,532,394,105,111,787,089,284,473,001,805,689,582,903,715,169,
287,238,444,401,251,513,667,848,625,360,520,275,941,021,889,819,165,127,711,
123,054,234,694,486,298,381,436,892,863,892,894,135,814,172,335,855,421,925,
674,012,663,134,514,534,471,912,200,386,406,310,146,218,991,109,195,386,283,
542,068,674,519,221,463,959,986,964,918,750,824,018,679,696,432,497,081,797,
647,659,325,562,601,418,615,155,848,791,908,136,832,080,098,338,836,824,450,
650,678,524,940,037,642,178,883,412,225,360,580,770,245,392,784,331,391,779,
888,700,356,859,610,462,285,749,133,128,796,578,833,599,902,002,457,422,065,
903,486,802,461,339,031,564,654,067,458,093,573,463,978,134,385,100,716,118,
547,040,646,344,983,764,803,314,688,324,536,377,576,679,580,069,988,938,195,
933,445,653,774,756,251,880,232,749,926,930,603,019,553,971,129,983,265,383,
912,974,806,910,057,514,755,030,175,991,727,309,804,618,616,921,623,405,497,
750,392,052,219,433,345,072,118,968,005,750,547,379,410,386,624,931,208,270,
100,939,364,318,753,539,219,482,720,908,542,210,153,646,981,216,891,037,771,
796,825,084,251,887,640,523,989,995,735,604,188,421,182,839,631,598,702,552,
516,380,182,903,079,043,782,347,034,817,971,081,556,703,247,835,942,782,308,
524,350,618,948,753,679,428,058,641,412,878,850,492,576,079,795,392,900,583,
426,969,443,463,077,864,182,115,474,541,724,136,375,253,344,531,007,241,115,
541,069,230,582,994,419,595,692,198,817,263,789,409,867,616,592,064,503,060,
442,112,546,324,949,949,788,305,586,961,521,057,542,188,251,933,152,484,514,
985,611,593,557,980,200,683,384,581,132,644,899,108,949,415,418,680,825,389,
263,830,377,929,612,726,424,440,885,070,234,656,044,798,948,640,388,941,657,
291,701,879,517,196,281,013,706,616,857,818,940,410,556,734,321,090,081,080,
589,985,661,143,729,845,684,702,650,666,107,349,799,915,798,540,555,019,385,
197,052,281,600,091,627,041,892,293,455,922,219,774,048,868,371,849,413,001,
245,634,148,749,288,388,562,133,359,945,116,305,568,674,703,973,267,869,574,
579,258,954,230,290,006,801,225,411,406,631,217,254,747,130,901,862,045,412,
832,678,937,372,329,805,167,470,175,197,136,672,143,780,019,909,728,215,630,
604,391,343,946,117,018,135,383,462,411,782,985,315,788,748,228,960,720,848,
479,332,991,496,756,279,502,181,737,112,592,733,668,649,360,795,099,099,143,
211,305,163,383,394,326,833,621,394,138,878,613,439,979,546,741,445,356,886,
938,022,416,261,947,416,651,907,786,503,066,881,195,046,427,560,810,769,635,
394,343,395,374,636,884,597,443,093,567,415,381,346,001,916,514,571,422,332,
899,912,917,545,704,978,574,205,405,766,194,763,919,784,827,592,855,151,515,
725,012,553,370,823,484,196,693,361,786,317,679,510,436,899,083,601,341,916,
219,225,324,535,800,287,120,256,358,673,817,626,831,592,733,133,342,904,018,
746,237,289,617,819,408,389,853,934,238,767,455,698,051,535,622,148,805,359,
537,787,260,524,926,754,372,594,085,933,740,781,920,397,068,580,313,739,218,
898,290,378,665,208,383,835,546,545,067,892,178,432,026,352,959,066,620,784,
591,650,339,974,551,748,160,223,937,810,074,940,154,252,303,694,156,189,903,
412,977,962,056,345,998,612,062,442,812,796,024,080,214,839,755,899,428,388,
236,984,768,540,846,042,288,949,973,906,163,973,106,984,805,130,270,529,928,
350,583,824,685,454,008,860,526,286,764,648,816,193,651,173,368,048,880,471,
778,822,086,123,201,857,437,521,564,492,731,446,122,599,369,045,500,328,511,
767,289,547,979,098,161,127,370,508,695,649,798,810,377,363,619,190,225,319,
972,893,986,089,377,557,873,566,371,054,709,873,294,607,416,147,090,407,215,
283,334,593,155,757,837,403,280,111,803,980,246,229,514,994,619,113,137,954,
601,674,296,202,661,031,592,389,042,566,680,896,916,352,365,277,544,358,367,
770,498,938,110,137,587,849,687,406,827,759,724,640,396,590,255,002,791,452,
132,742,831,355,751,036,893,541,451,952,793,497,931,635,790,438,356,686,493,
071,906,517,750,052,272,805,027,822,278,918,632,822,470,155,610,619,519,630,
588,023,047,599,313,036,415,724,314,818,506,349,923,445,399,641,224,201,516,
903,776,358,318,793,002,323,586,192,551,983,905,630,448,367,179,519,423,303,
398,171,169,428,230,406,337,924,549,410,748,389,270,567,711,006,753,070,057,
572,114,386,161,063,314,715,846,320,690,715,865,802,439,819,659,300,397,257,
104,516,808,441,871,822,863,704,233,087,401,331,224,566,879,999,580,416,640,
541,822,160,602,259,128,756,338,860,770,747,218,284,622,443,330,390,579,462,
290,923,219,929,696,057,394,716,681,696,747,649,688,776,235,553,119,467,849,
493,467,838,999,818,550,113,898,354,939,595,712,017,888,408,016,362,431,255,
423,490,688,170,883,328,602,128,993,552,250,391,733,089,464,260,173,653,407,
246,575,165,028,977,064,657,220,354,896,988,088,919,997,869,334,042,650,646,
058,075,556,716,637,706,808,446,321,523,375,164,595,690,242,944,125,892,599,
245,789,431,970,790,709,481,427,298,492,008,395,384,952,282,874,031,980,661,
655,950,594,204,270,971,532,380,580,937,524,601,078,291,341,205,628,770,392,
801,515,070,937,638,438,898,733,805,999,398,779,182,027,141,295,775,275,514,
902,096,346,819,126,226,579,143,026,163,890,576,741,152,507,102,535,348,176,
164,551,455,529,953,318,236,483,420,344,839,603,878,236,314,953,338,887,642,
229,771,062,814,864,418,677,364,865,045,746,602,139,294,552,982,126,987,832,
105,812,632,249,614,956,027,056,574,271,580,864,813,167,235,042,672,903,947,
203,940,844,396,066,168,755,315,603,562,438,347,716,075,485,532,908,969,200,
413,987,749,692,326,722,081,319,403,819,004,497,078,061,954,662,066,425,777,
280,795,035,642,556,352,164,241,432,403,631,787,767,410,967,390,566,761,120,
755,396,964,655,274,592,210,273,307,257,303,160,336,220,383,515,265,719,243,
262,286,758,034,738,683,662,868,050,972,709,908,509,500,507,039,088,137,523,
631,013,863,207,366,192,129,610,488,646,589,610,465,182,423,820,555,686,188,
422,738,918,118,293,933,549,754,281,885,854,717,897,336,123,976,721,017,416,
932,811,815,176,026,906,646,791,469,050,864,999,685,247,612,084,144,584,007,
295,691,400,222,392,606,951,176,066,913,259,452,829,814,159,435,100,803,180,
219,118,840,768,107,240,812,781,530,850,110,229,378,666,170,997,900,202,707,
654,507,905,063,788,118,671,455,176,956,764,477,923,915,874,359,054,837,849,
700,080,267,167,771,365,342,993,030,247,205,142,029,420,395,757,057,912,055,
703,234,262,467,684,067,428,603,823,331,391,653,208,783,748,333,382,303,505,
595,253,782,385,240,670,477,692,066,180,973,640,821,196,637,360,699,679,738,
304,351,623,584,516,057,207,717,991,642,082,611,471,758,254,228,249,415,408,
793,380,714,192,917,492,715,262,471,284,194,330,937,952,691,062,917,786,788,
530,632,776,295,007,535,517,831,118,863,310,186,930,207,703,400,173,921,855,
998,800,856,471,882,887,362,709,417,214,565,951,289,761,360,882,995,090,806,
021,172,186,167,892,052,861,554,851,877,585,136,361,690,018,997,373,352,504,
399,364,775,586,598,554,631,801,775,085,130,202,169,778,117,868,565,820,000,
401,346,599,447,571,073,510,029,506,526,070,811,587,449,538,704,737,268,462,
039,622,393,848,312,154,205,424,604,387,619,539,022,905,927,653,839,453,249,
833,154,862,762,565,671,124,438,519,892,642,872,844,333,259,532,971,135,575,
547,261,641,199,619,605,365,190,565,128,799,270,836,317,804,800,993,917,967,
209,899,663,841,727,354,222,079,943,362,138,233,261,747,614,261,210,760,589,
209,128,897,528,947,825,309,874,834,035,905,647,162,863,586,656,614,688,725,
018,236,905,277,967,648,808,643,276,093,349,720,996,644,236,694,351,106,366,
583,650,979,491,529,684,897,831,004,813,203,140,824,953,797,387,283,061,849,
413,401,271,321,585,697,423,968,359,235,134,132,365,591,194,416,037,936,064,
152,777,614,259,225,444,671,010,753,788,251,424,922,582,154,946,237,284,946,
102,617,301,987,177,392,496,587,275,109,222,762,686,422,376,607,203,387,662,
345,446,828,023,765,924,225,154,673,126,374,546,895,301,744,847,906,724,722,
684,736,488,375,259,222,814,226,553,135,080,440,566,329,043,799,704,496,077,
055,019,417,353,363,481,915,596,452,522,170,807,718,405,285,572,605,962,271,
481,721,152,665,665,469,033,105,478,532,812,111,267,801,274,604,730,986,373,
875,624,688,971,413,055,893,149,472,119,983,019,754,080,884,929,721,023,125,
320,877,397,053,045,702,861,008,782,161,162,190,403,416,606,616,680,596,600,
483,477,558,552,706,624,636,195,117,056,368,050,969,704,871,699,502,303,706,
335,705,613,113,016,065,163,724,812,628,506,000,377,026,057,746,017,963,891,
660,736,110,281,826,681,317,666,287,464,141,596,326,723,349,388,244,876,117,
235,102,195,083,341,584,152,077,964,191,592,661,994,917,561,050,237,350,117,
916,013,786,365,832,233,072,756,686,609,228,871,973,777,269,348,195,628,859,
169,319,014,388,291,974,180,400,410,391,186,830,401,085,132,234,737,197,471,
831,977,120,281,137,742,195,450,722,621,472,335,079,980,732,070,652,794,019,
903,963,443,800,770,717,745,292,315,032,503,934,984,402,686,955,209,050,058,
267,845,793,501,335,826,861,351,582,080,975,185,043,112,788,095,156,155,269,
279,135,143,534,187,900,064,345,365,617,529,860,452,084,872,994,719,091,039,
064,235,172,267,637,316,404,832,768,080,245,957,072,152,244,205,457,833,516,
982,473,492,250,952,384,349,878,405,634,586,399,458,452,460,324,100,579,017,
138,230,870,003,288,086,756,312,628,713,116,231,942,810,967,632,067,416,706,
153,988,399,884,021,090,840,340,737,024,623,378,810,762,787,865,280,852,855,
364,940,485,521,462,231,428,191,739,489,158,913,158,970,247,571,996,750,970,
198,273,172,356,242,304,228,883,077,802,464,761,325,446,650,673,270,936,381,
103,054,569,476,536,913,566,389,846,413,621,148,335,036,387,479,303,576,267,
630,411,019,637,137,154,639,215,234,078,863,256,915,643,941,002,965,824,366,
628,997,478,028,559,622,792,487,353,097,488,900,707,498,701,718,943,674,637,
380,430,498,322,912,716,359,857,853,966,925,155,568,091,985,737,031,356,815,
515,200,318,010,071,625,176,838,481,214,407,285,386,917,015,158,996,993,892,
985,931,088,283,356,318,457,504,045,583,600,396,773,614,560,269,169,908,230,
242,226,617,884,638,975,730,173,629,045,613,181,325,886,218,789,908,473,536,
196,597,198,223,336,013,918,619,812,861,440,961,264,473,471,187,966,626,567,
490,768,314,933,359,487,019,397,888,960,740,498,397,278,559,953,752,499,994,
181,100,028,791,262,322,662,019,770,865,094,531,684,659,896,438,125,019,913,
905,853,387,127,046,459,370,541,278,288,664,273,396,366,921,138,138,467,064,
155,394,269,759,873,078,800,396,649,109,993,863,587,328,154,746,578,470,460,
073,931,382,522,752,548,446,386,108,297,913,341,444,478,751,060,123,557,355,
215,398,023,530,248,259,478,218,905,849,785,567,936,036,840,533,341,211,458,
937,820,763,892,771,361,209,229,069,997,065,580,140,817,476,080,216,095,336,
161,625,415,014,325,910,734,960,778,041,242,210,429,906,423,237,638,573,903,
169,405,352,440,021,415,549,973,993,355,351,015,336,872,093,482,980,184,492,
595,757,454,468,017,822,230,132,291,700,623,107,293,611,521,024,162,747,889,
496,666,293,597,998,591,031,033,048,603,932,839,953,268,853,700,747,171,661,
946,548,583,174,843,928,182,370,023,046,252,800,685,202,747,900,575,005,046,
017,859,355,457,229,173,876,391,113,892,205,913,178,684,529,742,648,271,250,
853,056,672,826,388,783,989,311,995,730,034,680,672,637,364,794,138,870,034,
326,308,851,870,205,326,507,540,440,251,731,839,277,710,461,955,164,611,615,
044,604,252,132,061,458,757,661,168,629,532,805,586,582,561,689,139,398,813,
760,565,126,369,274,018,994,928,596,232,319,769,380,085,266,538,688,964,707,
871,780,249,687,309,086,081,084,413,136,981,242,441,895,845,698,609,708,387,
987,255,038,442,590,010,859,484,144,391,607,540,076,846,204,177,282,695,450,
732,957,704,999,532,451,741,727,438,281,824,359,237,327,605,085,899,075,570,
023,812,269,951,259,360,848,131,549,337,030,531,500,149,956,949,668,935,215,
007,085,331,947,134,835,883,388,628,782,281,331,826,935,671,913,946,626,976,
402,934,059,191,665,933,502,056,123,439,612,889,908,895,516,466,997,841,911,
323,366,365,548,640,542,401,548,435,099,695,243,494,064,227,028,811,929,107,
251,663,288,645,692,072,501,910,760,213,701,975,536,253,153,683,400,438,072,
137,972,768,728,983,731,448,551,364,664,103,872,275,211,828,093,170,140,531,
658,993,368,018,922,006,593,278,942,145,393,331,296,906,351,036,969,635,243,
460,884,313,351,284,462,730,247,055,702,539,043,380,376,785,308,665,436,737,
936,779,892,091,200,474,045,581,913,881,360,260,589,050,240,136,097,282,576,
301,991,826,138,345,420,177,391,278,559,210,536,358,206,156,558,603,655,187,
010,532,645,678,451,417,720,586,769,536,106,888,779,834,450,768,774,123,527,
229,150,497,353,230,898,556,320,376,673,819,208,150,094,137,188,578,648,074,
936,860,821,391,108,579,121,709,027,328,113,504,240,786,150,968,423,808,593,
474,057,308,572,853,829,529,063,828,947,317,381,374,132,473,475,810,241,948,
134,271,476,714,132,649,917,827,268,266,953,195,850,830,445,119,697,606,616,
567,101,555,625,721,844,256,201,532,541,841,430,933,102,585,740,984,445,710,
337,860,443,057,300,248,163,375,857,166,998,558,353,566,403,949,604,862,633,
457,700,699,722,076,942,157,406,962,176,857,066,943,831,514,604,169,820,919,
351,371,891,060,801,169,712,510,028,453,608,194,296,024,237,775,191,029,886,
658,970,764,957,659,460,363,545,117,357,308,562,881,923,887,522,500,051,529,
438,027,012,018,575,923,115,115,632,086,589,091,443,776,377,988,677,923,713,
095,566,361,586,051,092,354,223,930,285,295,457,309,343,667,404,798,197,419,
006,670,722,287,775,509,513,423,862,291,735,525,055,935,387,868,794,830,083,
463,098,051,493,066,998,239,542,427,289,713,352,556,117,061,707,902,896,426,
052,136,381,206,835,503,684,923,243,646,512,157,876,341,110,919,513,669,893,
036,075,613,795,962,564,717,055,280,311,011,418,579,570,555,955,868,981,294,
717,130,715,045,686,949,583,656,737,712,888,558,310,158,106,630,557,447,614,
480,027,004,738,363,269,720,598,305,397,141,478,408,608,931,945,460,559,913,
244,093,591,822,375,265,876,345,680,408,577,410,372,112,773,090,778,533,146,
251,503,962,038,095,451,657,060,045,393,078,839,636,842,210,829,788,922,651,
757,338,622,513,866,066,442,841,731,288,330,392,358,825,450,223,389,252,984,
776,424,837,188,480,522,823,623,787,809,514,216,716,609,549,394,232,988,394,
048,838,040,282,644,119,416,349,577,080,809,204,661,439,446,705,246,434,952,
822,610,606,957,873,835,261,660,156,026,417,346,640,751,259,879,363,282,643,
781,508,944,554,182,606,454,505,662,530,189,604,623,284,795,503,621,799,680,
417,438,158,418,462,608,987,570,721,604,934,246,078,386,234,320,199,253,731,
022,069,712,906,796,938,912,225,358,673,402,760,426,176,351,392,493,537,537,
519,265,974,493,280,322,166,735,965,243,762,188,824,260,621,397,914,508,175,
885,560,695,255,768,813,939,232,225,296,957,810,190,713,404,652,530,322,405,
574,119,082,381,094,795,301,007,303,459,796,871,440,241,199,007,190,802,279,
363,953,632,103,557,163,280,038,396,375,535,921,254,798,025,995,198,250,852,
675,095,243,669,667,924,832,545,398,029,736,012,287,977,419,800,495,032,628,
912,718,772,914,396,373,503,686,999,076,352,110,479,606,001,317,815,156,253,
224,630,905,473,524,494,334,958,327,518,227,639,411,151,700,387,935,511,140,
890,084,445,350,684,627,691,041,551,057,636,856,329,752,555,184,728,428,020,
609,954,564,239,103,834,176,250,430,937,050,195,855,591,298,822,217,222,261,
561,248,460,680,373,480,415,377,381,774,015,216,420,879,307,867,107,094,148,
591,216,222,675,614,464,994,950,530,546,377,811,974,509,505,907,672,278,506,
493,323,070,073,792,317,428,769,590,869,570,527,006,184,236,335,496,676,486,
315,534,943,935,950,531,611,798,703,195,621,035,151,909,192,537,525,339,239,
738,205,557,703,150,383,959,888,861,470,992,752,330,557,551,679,811,522,103,
013,449,064,929,869,914,656,198,112,653,085,268,075,850,932,964,772,730,526,
155,560,546,331,094,153,437,953,381,843,351,085,518,966,129,752,561,937,497,
371,189,895,103,083,526,650,489,231,569,788,224,198,417,416,422,713,106,253,
743,293,830,269,007,361,886,541,771,071,572,974,679,702,705,105,164,303,019,
132,854,967,337,896,610,655,705,461,769,794,279,004,958,483,131,836,294,215,
035,147,496,159,775,490,608,289,857,198,130,910,548,544,771,556,147,523,819,
267,771,340,904,467,524,418,363,547,140,643,059,065,737,551,364,302,989,618,
705,877,235,183,840,407,350,716,085,967,356,492,427,376,356,430,995,444,605,
524,056,493,038,106,779,081,656,202,661,889,509,294,866,481,410,842,461,434,
695,411,065,602,313,906,786,158,383,142,365,856,081,439,318,608,648,828,668,
581,619,585,707,213,486,227,535,553,138,259,526,492,792,002,005,798,833,546,
409,303,575,491,227,981,914,938,725,137,220,122,507,054,470,180,784,555,787,
934,694,659,536,150,928,192,317,444,503,371,088,664,493,062,415,214,485,982,
873,384,683,885,258,050,068,115,000,836,058,430,213,624,484,568,280,349,115,
182,299,811,102,940,829,300,261,140,316,363,797,338,547,114,382,209,322,619,
506,995,228,357,490,835,450,646,412,888,247,464,569,936,807,215,929,546,455,
798,638,252,547,490,509,085,078,325,634,573,674,746,351,586,255,636,801,763,
071,457,735,201,986,503,364,003,605,249,303,495,330,692,389,444,536,296,505,
312,317,245,972,770,056,763,138,474,899,712,212,942,551,934,756,463,551,902,
482,092,251,993,771,070,575,828,641,957,768,931,285,543,884,227,302,792,772,
986,689,398,444,764,370,842,400,992,581,467,710,513,994,722,172,433,365,440,
649,597,134,546,086,052,199,321,598,831,407,587,605,860,163,727,687,794,816,
475,890,028,253,305,108,643,901,964,562,082,390,871,818,400,547,249,451,893,
072,959,743,093,458,288,469,981,214,944,831,567,184,379,978,054,345,500,707,
102,746,959,201,634,331,215,940,060,576,777,606,419,081,150,098,138,753,277,
478,878,173,370,263,819,124,346,946,098,959,930,389,839,105,980,274,127,088,
419,099,377,197,509,409,695,163,968,729,742,211,703,132,223,701,039,929,574,
365,800,394,040,442,945,419,736,519,753,046,018,170,911,781,314,043,079,658,
317,883,960,920,429,793,419,249,129,937,535,764,576,055,764,585,939,403,311,
075,569,571,923,515,633,832,870,697,175,669,827,297,894,720,084,683,635,621,
946,008,658,939,174,288,009,993,026,542,457,239,989,302,564,501,719,362,518,
690,746,074,702,945,879,241,846,603,150,713,219,163,176,613,429,777,821,354,
085,534,636,594,449,439,918,415,701,584,081,617,307,739,907,395,325,302,348,
465,923,612,112,621,766,985,219,190,101,900,388,576,158,410,531,276,295,166,
027,259,365,536,100,628,987,314,007,905,557,332,111,594,793,643,850,813,640,
102,123,222,955,224,991,967,098,261,677,350,492,084,084,959,097,970,978,593,
028,661,597,472,434,000,967,699,068,000,633,582,563,325,794,263,503,905,194,
386,924,566,566,723,244,576,167,428,356,786,106,856,205,778,554,093,828,773,
312,516,255,938,824,346,541,178,186,741,845,801,458,246,546,725,547,620,196,
081,066,699,588,907,893,693,071,727,060,986,966,364,785,735,093,237,314,200,
977,692,028,444,149,138,257,494,589,984,556,156,482,477,722,251,922,992,318,
049,100,201,772,631,096,704,780,608,163,352,502,103,920,222,164,181,600,854,
341,067,446,719,043,382,958,252,962,941,715,088,756,924,242,249,534,603,184,
416,002,773,373,260,747,743,688,725,810,353,984,421,511,861,707,594,895,464,
304,870,494,004,700,547,839,899,593,767,899,600,301,728,662,499,951,795,638,
811,712,895,682,525,209,769,895,960,317,745,618,642,258,608,392,472,455,649,
925,020,912,578,173,150,415,027,558,703,943,902,512,987,070,225,737,490,941,
641,319,334,231,140,479,419,328,474,068,875,943,941,460,322,662,076,287,141,
001,920,953,959,044,423,117,251,692,766,382,840,992,539,119,834,086,128,663,
831,698,644,614,335,742,742,333,830,019,636,950,346,329,094,789,944,726,070,
269,599,065,644,398,734,730,214,574,201,537,478,041,275,975,949,461,573,123,
747,300,454,040,321,766,056,262,378,113,221,633,455,861,376,341,621,174,785,
809,672,666,635,882,773,882,717,795,731,472,404,850,077,125,764,633,918,389,
114,811,388,099,444,041,578,737,112,816,962,711,405,153,904,682,709,872,346,
532,478,631,326,484,249,427,504,308,200,021,861,462,155,215,095,157,546,877,
610,557,159,243,644,034,404,900,808,440,524,808,024,103,988,832,613,768,403,
260,275,037,217,370,562,077,347,446,429,023,423,718,566,206,124,328,456,734,
586,856,038,521,828,950,684,048,138,975,550,570,455,605,075,043,043,758,861,
402,261,596,225,383,794,801,037,021,245,983,966,719,751,684,204,480,537,018,
030,778,658,230,846,607,385,827,306,403,936,485,171,645,282,757,934,905,061,
602,686,552,259,219,748,019,565,061,525,243,366,411,252,311,040,094,604,167,
812,676,581,775,193,078,013,860,122,295,505,710,387,836,433,266,535,073,559,
335,740,709,421,061,113,422,744,532,624,457,497,915,149,716,777,280,301,429,
747,588,367,300,096,651,521,781,029,072,566,291,594,107,792,169,730,561,352,
248,937,933,722,715,463,122,618,249,372,858,229,942,008,193,570,759,589,867,
619,022,171,111,440,888,589,301,915,281,083,247,969,422,847,167,126,477,905,
457,670,035,745,916,750,165,772,865,282,242,893,101,705,369,829,711,195,451,
864,430,466,319,302,987,174,860,879,548,234,041,417,456,292,137,639,048,505,
717,871,899,821,206,146,945,906,862,928,597,023,541,720,807,319,662,170,247,
520,810,147,669,643,048,212,130,979,837,492,481,458,045,735,964,767,482,982,
007,045,129,400,217,304,135,987,343,727,001,031,742,269,991,053,171,617,431,
158,745,509,753,760,015,110,035,959,220,370,181,598,748,071,069,681,061,409,
060,709,558,929,427,588,172,456,475,267,531,718,035,645,310,175,523,877,518,
334,013,603,572,418,260,275,105,380,278,732,695,118,352,335,263,977,948,010,
702,842,532,718,086,854,405,665,545,384,697,920,198,836,410,499,971,254,922,
738,367,849,820,528,109,736,392,269,484,394,172,325,897,755,882,560,202,370,
110,612,699,626,174,190,552,864,163,708,693,974,836,426,954,034,925,306,543,
238,990,867,698,806,273,799,886,411,447,600,420,488,239,307,677,324,045,600,
962,541,652,998,309,524,260,300,648,084,128,150,988,193,187,878,904,585,685,
862,927,716,123,063,627,892,115,772,192,124,499,951,085,581,744,921,607,666,
401,879,863,266,595,583,470,790,059,639,885,430,932,758,185,659,768,200,007,
984,940,183,306,831,340,919,815,664,989,606,416,407,235,061,431,054,894,103,
169,162,039,008,659,764,600,423,484,374,785,368,653,309,413,979,477,566,468,
958,089,862,557,157,785,542,241,121,138,376,397,712,589,765,012,288,866,829,
633,271,822,123,271,249,040,407,234,389,908,790,144,291,942,938,071,666,757,
609,094,891,455,422,792,143,059,783,590,726,988,141,347,143,217,198,810,972,
723,807,962,196,717,011,394,243,934,738,367,753,785,552,035,406,437,164,452,
194,411,452,572,251,674,912,720,073,265,675,828,588,517,185,891,609,857,972,
569,049,100,813,173,881,073,280,142,020,977,909,322,499,279,852,248,225,068,
138,525,965,576,060,658,990,394,125,558,552,327,126,140,283,869,922,821,130,
234,319,156,508,707,134,950,884,066,122,798,326,119,200,891,280,621,602,476,
269,680,210,610,670,601,156,310,934,418,503,680,675,251,612,108,322,829,102,
498,921,937,285,132,111,824,611,266,327,764,295,394,678,525,326,881,553,474,
283,507,884,033,217,957,143,195,177,286,565,882,788,129,574,850,508,954,683,
695,679,904,035,860,336,486,680,398,235,130,091,868,527,829,847,887,070,268,
283,899,915,352,607,432,059,744,100,825,698,175,140,739,635,996,462,659,019,
344,426,360,226,441,063,618,181,379,955,838,252,649,725,131,879,741,670,011,
395,521,963,552,785,102,186,090,260,495,058,270,125,449,999,777,516,040,362,
856,248,976,338,819,168,005,628,653,332,924,346,118,429,806,188,567,853,267,
903,328,680,998,807,183,973,996,553,028,458,989,191,877,023,045,645,908,910,
051,639,372,066,739,318,949,069,787,220,524,061,550,158,063,437,061,112,169,
356,187,027,611,811,514,243,720,122,936,537,687,004,480,720,100,473,310,206,
864,335,063,335,138,369,877,979,701,928,289,011,549,299,978,219,251,197,404,
871,422,825,019,413,379,589,554,053,850,264,657,192,360,857,624,770,011,737,
006,050,315,722,654,103,853,236,915,690,432,090,620,226,862,359,356,972,917,
670,449,152,142,752,824,886,875,053,400,009,753,474,663,693,842,101,578,973,
719,923,325,038,218,901,888,667,617,631,282,875,945,967,135,572,627,237,255,
296,088,128,808,545,427,561,716,661,558,899,940,162,610,286,269,122,980,244,
684,743,994,987,173,811,549,265,534,258,317,005,084,373,649,905,715,913,146,
459,095,476,165,264,089,392,325,722,424,672,845,580,531,947,114,274,815,835,
163,181,310,469,346,896,484,134,051,922,954,260,584,738,290,787,417,894,247,
209,936,150,220,648,569,997,215,317,428,123,714,978,099,148,032,787,097,245,
315,112,684,556,296,255,856,404,791,119,936,860,460,152,176,017,696,070,270,
610,406,858,107,704,471,317,283,016,794,952,199,237,180,339,677,560,796,307,
081,669,953,058,573,440,116,309,245,833,813,490,010,424,336,312,961,939,228,
139,470,000,262,943,398,563,416,904,762,650,796,785,372,029,663,359,058,257,
420,260,520,898,541,310,415,458,800,749,578,992,416,473,861,594,799,479,439,
000,378,652,473,507,637,497,766,796,765,444,225,564,518,470,641,215,670,557,
300,601,686,823,704,124,956,295,909,106,134,534,683,887,290,372,245,825,357,
817,126,151,042,593,913,276,882,318,555,872,498,137,496,083,952,958,062,456,
009,379,604,717,001,900,250,740,412,405,178,783,432,276,722,981,951,976,853,
928,575,392,702,750,743,049,310,947,714,497,840,325,946,327,070,886,165,789,
652,812,979,182,913,333,854,067,625,311,814,395,253,817,594,471,753,781,502,
502,879,822,966,588,786,856,205,295,814,365,645,708,944,379,084,347,349,538,
424,560,710,098,491,571,403,084,733,216,978,334,498,610,382,810,755,876,290,
218,542,183,886,888,266,019,031,703,746,420,305,670,390,468,189,365,610,367,
149,956,950,494,049,963,236,672,406,455,267,621,504,636,449,260,476,201,694,
426,613,345,870,230,721,399,159,243,172,573,279,328,045,935,710,244,480,863,
477,526,343,295,574,511,012,504,274,585,104,546,462,302,554,735,736,822,223,
572,919,382,037,413,803,092,184,450,740,931,980,847,565,084,312,203,823,882,
558,738,247,604,192,541,876,304,102,586,573,591,314,319,122,781,887,148,027,
354,711,873,003,769,879,603,310,011,681,342,691,577,596,724,048,756,874,919,
067,559,207,845,993,474,631,551,830,333,571,142,218,384,162,802,479,407,602,
510,978,630,277,728,545,915,115,496,324,779,083,710,162,916,651,628,825,376,
406,751,463,355,795,253,503,025,851,221,362,350,129,520,952,223,902,559,352,
831,819,931,176,478,311,375,448,078,463,698,861,336,424,515,770,271,706,418,
247,082,694,323,525,971,985,629,577,868,749,477,216,529,374,917,033,657,362,
754,296,983,696,215,928,372,304,224,372,919,567,369,548,266,080,870,339,799,
395,285,409,176,798,938,133,031,795,448,070,565,980,540,190,970,759,886,410,
648,567,784,128,521,398,747,962,140,516,377,962,173,468,769,940,684,469,806,
359,351,845,447,137,477,526,673,820,880,252,029,251,485,577,309,827,208,784,
395,659,993,502,854,924,642,458,062,342,580,517,128,585,363,032,565,135,944,
907,786,948,759,827,256,894,411,169,198,078,586,052,094,632,995,005,823,175,
338,454,287,275,487,849,160,560,638,987,665,028,248,203,609,239,263,467,894,
130,899,878,442,355,299,658,119,110,105,160,115,727,693,494,393,717,871,158,
210,030,764,087,827,986,125,538,031,243,314,827,194,770,063,031,503,109,379,
721,763,190,562,905,570,917,216,692,709,569,330,366,899,809,825,393,729,290,
005,191,579,886,139,406,048,592,013,948,801,440,941,450,521,751,469,863,243,
925,699,152,475,788,642,457,257,158,294,052,113,093,866,853,530,132,102,975,
108,691,153,360,623,143,670,101,467,435,135,796,966,514,934,287,410,666,367,
286,945,562,080,197,462,429,212,127,556,436,062,621,634,982,723,504,892,934,
534,538,004,965,747,920,928,710,739,403,427,992,309,342,356,317,667,132,222,
216,436,439,691,752,481,399,500,022,861,890,415,735,890,124,222,949,351,313,
590,836,177,973,811,409,419,827,779,086,882,354,717,230,797,754,254,797,206,
813,905,775,755,240,849,279,069,072,304,375,455,706,540,615,178,870,897,460,
720,700,827,222,009,285,789,156,862,189,926,275,950,012,417,397,478,834,957,
081,260,262,151,936,942,977,729,512,202,776,588,505,084,809,326,399,639,089,
240,959,863,236,891,137,479,473,802,415,336,619,731,805,212,420,387,245,175,
421,487,178,528,951,307,349,879,783,646,415,204,252,229,884,776,380,250,160,
954,705,054,930,636,559,305,712,940,971,134,422,871,230,037,091,614,779,399,
833,366,808,051,536,551,306,794,336,485,936,064,561,479,745,596,458,007,850,
767,759,270,195,990,139,617,667,636,476,407,842,389,391,955,973,682,923,633,
793,804,715,448,889,901,981,570,876,159,053,627,207,545,579,276,426,457,011,
073,271,936,162,767,353,922,317,781,882,614,609,216,723,869,288,081,259,561,
456,588,150,622,255,094,222,095,768,460,777,489,081,491,236,164,158,205,980,
342,731,994,899,281,362,476,262,630,221,947,686,158,142,261,459,635,293,403,
388,496,974,639,534,597,747,171,897,521,705,347,322,805,266,510,337,841,245,
191,893,967,459,193,833,091,401,469,772,804,900,303,005,268,214,745,719,933,
460,228,379,075,031,331,464,889,766,814,435,624,831,592,783,678,560,485,419,
276,357,818,700,856,358,327,761,395,058,099,198,977,683,620,528,438,476,887,
376,346,198,991,471,130,786,832,875,218,455,099,749,495,579,351,580,603,921,
513,595,432,796,843,450,029,946,475,575,303,409,594,042,343,443,517,433,297,
936,312,183,578,319,185,052,616,099,086,052,617,365,349,969,768,506,626,196,
821,067,318,531,725,716,233,365,388,762,211,464,458,450,628,570,484,247,918,
982,569,914,856,142,019,047,425,544,089,960,914,346,749,461,682,983,772,724,
153,847,410,276,291,321,301,960,782,504,465,105,248,310,766,460,694,489,839,
527,940,514,767,750,283,908,163,356,467,777,050,992,642,762,987,321,587,992,
493,450,051,919,163,567,262,465,552,145,238,277,750,742,823,628,804,230,894,
121,070,147,936,125,005,825,824,222,195,549,184,123,172,729,568,680,938,034,
460,690,193,771,343,997,655,301,565,390,523,081,500,248,517,891,257,788,629,
314,898,204,286,013,105,183,437,450,572,593,901,657,640,670,455,029,386,761,
295,700,927,674,303,216,101,930,058,005,952,903,800,977,357,208,254,225,938,
630,175,679,479,885,431,363,147,725,809,651,860,196,857,516,540,723,733,915,
713,311,595,969,442,046,999,805,542,052,560,629,089,585,920,495,644,389,893,
394,646,526,378,274,347,031,275,526,554,838,243,427,092,128,064,483,177,512,
838,242,895,852,865,793,474,006,923,681,134,637,872,085,093,972,014,649,529,
204,684,412,660,421,045,177,408,328,431,649,475,103,493,882,150,494,930,341,
558,368,337,188,778,566,107,269,108,417,451,380,069,609,329,878,644,746,614,
763,143,360,951,907,883,917,593,161,723,103,940,278,519,803,551,675,879,692,
986,707,183,619,936,359,596,083,961,869,870,238,213,197,049,365,294,975,064,
549,079,335,395,935,471,348,043,820,598,701,296,899,257,112,696,464,229,586,
720,148,528,646,383,235,775,339,150,142,807,616,411,139,470,012,300,239,758,
845,394,925,036,577,992,779,974,005,097,503,676,516,619,431,490,076,225,185,
892,232,668,525,711,279,585,511,273,782,500,454,201,818,326,851,085,285,921,
874,117,236,363,097,829,441,637,709,964,070,212,747,321,829,601,580,981,067,
206,812,516,553,732,787,762,882,018,791,313,528,402,617,834,482,645,240,922,
246,010,173,031,483,576,663,027,117,512,343,479,940,322,465,299,394,300,589,
234,490,720,527,909,690,047,108,972,995,693,493,436,356,444,511,112,007,717,
031,285,841,907,261,320,964,587,490,230,799,517,465,260,782,423,789,013,017,
902,289,447,962,190,797,221,833,201,572,622,478,752,164,377,371,165,062,256,
587,549,592,138,265,799,785,207,209,373,524,118,740,384,988,152,326,213,533,
405,419,699,253,574,455,618,811,892,284,694,513,885,893,064,469,243,301,211,
801,302,012,389,701,412,779,189,304,207,119,623,456,352,745,876,730,801,741,
749,756,603,867,066,128,516,424,861,505,180,488,000,217,503,079,972,087,097,
963,572,666,623,006,667,518,020,171,073,216,392,086,955,727,065,619,990,372,
360,819,161,132,018,707,584,488,049,155,801,145,202,102,110,689,870,190,369,
616,409,877,067,428,385,729,040,483,117,799,684,797,758,542,189,497,265,395,
803,278,310,600,445,768,464,793,067,213,026,395,755,873,854,335,512,400,537,
058,243,314,786,671,514,468,705,864,888,997,905,083,913,252,331,910,620,411,
369,869,812,639,056,612,718,959,591,772,814,165,598,895,536,846,679,794,129,
844,007,679,219,479,434,004,335,950,407,668,941,788,554,188,650,748,671,613,
091,730,471,326,726,858,855,569,389,397,496,048,758,060,794,836,905,148,646,
004,025,928,673,365,513,857,345,772,575,761,353,207,944,885,875,469,382,792,
497,228,092,499,207,043,202,718,290,389,988,751,904,398,951,435,406,757,334,
870,635,722,874,143,113,613,186,536,414,761,779,867,027,081,421,424,606,188,
214,329,666,573,140,379,872,192,622,517,060,261,188,610,099,383,423,609,568,
990,767,777,189,315,368,265,812,984,361,737,081,866,351,337,660,369,555,614,
325,121,774,841,846,061,483,170,862,182,538,083,403,969,706,100,366,603,138,
308,191,021,294,322,998,029,415,076,402,238,986,220,214,092,395,385,704,837,
908,806,365,567,342,746,089,186,875,915,729,181,904,910,107,786,552,272,155,
273,809,823,428,557,499,080,350,026,882,766,992,084,976,184,146,787,197,817,
021,153,871,449,125,187,522,268,308,871,355,569,837,323,382,177,026,336,408,
050,014,971,277,854,847,232,204,503,353,237,702,340,648,196,499,436,094,223,
614,042,356,514,788,988,739,429,146,405,724,273,673,433,659,194,177,620,415,
334,544,795,383,234,513,117,175,430,539,634,879,263,617,279,451,702,813,452,
941,299,073,975,369,642,119,559,696,123,471,792,742,171,242,648,696,605,619,
770,472,927,124,294,023,124,714,201,912,032,032,003,679,392,918,825,282,501,
111,282,813,122,710,914,682,561,492,274,478,793,784,554,009,792,126,104,947,
501,940,782,428,800,802,987,982,916,978,479,161,428,959,323,784,542,218,452,
736,172,704,563,381,080,401,454,303,399,925,246,837,554,009,778,484,018,796,
796,550,779,586,737,173,159,239,886,479,540,298,083,693,089,194,899,777,246,
748,751,417,329,849,568,620,570,395,434,757,386,985,852,043,899,458,460,378,
433,434,674,186,366,105,062,800,222,749,891,502,344,540,006,094,950,628,350,
962,634,037,481,040,910,355,218,232,205,433,156,313,963,293,179,274,578,830,
807,629,707,551,447,961,830,282,877,025,226,317,177,811,943,614,842,438,460,
341,333,298,161,225,573,734,266,201,819,173,721,083,804,540,834,577,043,439,
017,697,892,596,277,573,963,485,013,042,385,081,584,729,483,501,319,899,555,
965,363,990,510,015,828,795,388,987,381,772,054,617,621,561,239,754,091,781,
697,561,437,621,597,143,972,495,883,155,039,367,353,630,963,593,290,684,232,
480,540,451,140,374,792,962,676,063,481,653,895,398,950,927,242,257,230,804,
125,857,483,397,389,294,808,338,696,528,428,451,453,171,753,030,134,087,211,
190,642,831,579,158,208,519,460,162,156,479,693,586,786,202,480,413,684,357,
169,090,351,015,361,803,149,896,919,414,004,203,269,383,596,896,828,324,163,
594,186,537,441,834,666,958,537,816,334,518,795,650,187,651,333,163,126,881,
901,734,634,410,878,991,131,003,440,662,461,168,325,049,875,230,426,364,895,
206,276,761,332,408,419,632,452,447,134,124,603,867,061,156,447,441,985,282,
641,994,740,970,007,097,114,826,374,201,435,172,397,577,533,335,837,958,295,
291,216,692,702,330,499,272,602,461,066,758,568,479,123,507,469,653,951,146,
166,265,979,547,311,019,268,935,371,503,683,410,847,488,834,352,017,983,843,
103,235,536,214,687,865,203,104,331,418,783,593,223,037,334,148,349,555,641,
098,759,641,700,437,502,524,211,655,288,179,749,847,159,955,184,711,587,616,
214,511,783,128,083,198,219,735,691,032,594,319,311,888,556,134,434,448,279,
289,007,045,015,387,036,027,184,640,127,071,699,441,741,170,666,541,882,399,
956,017,458,721,840,807,455,072,380,880,229,932,477,664,716,950,002,896,507,
029,610,331,920,614,499,418,008,451,311,464,436,516,141,334,494,392,856,319,
614,016,097,311,816,457,818,064,174,229,952,704,709,126,054,925,044,174,310,
222,147,465,380,734,687,480,988,276,233,368,747,997,810,393,196,029,685,704,
865,247,416,122,710,478,415,148,084,442,842,768,070,340,349,991,813,102,030,
122,113,856,448,869,177,908,181,595,506,074,341,503,606,478,870,320,934,233,
461,344,890,256,958,435,752,343,639,996,442,715,327,620,087,089,160,813,438,
213,795,328,679,478,023,244,277,457,938,831,424,376,385,038,768,891,199,482,
892,366,968,114,801,376,124,015,310,387,018,966,949,590,515,272,770,408,807,
855,494,297,642,803,791,811,125,679,348,879,167,084,001,985,004,131,913,119,
084,509,140,980,695,543,922,629,598,192,247,652,591,252,474,338,445,162,775,
389,627,485,423,703,464,940,121,450,504,963,997,669,084,864,283,216,428,242,
026,636,545,308,370,957,167,428,960,149,190,470,488,629,132,015,153,216,828,
435,697,086,065,755,892,135,034,098,693,232,653,141,502,213,737,463,208,313,
435,316,127,105,306,530,138,595,045,702,888,377,178,200,863,496,210,318,382,
955,928,869,893,288,295,759,801,917,295,339,623,989,926,055,905,821,727,039,
465,953,298,397,277,899,334,575,382,261,773,613,004,611,905,772,208,470,670,
990,547,591,381,954,563,290,325,007,671,405,435,907,635,008,763,440,756,767,
555,868,504,488,666,237,140,802,768,889,083,670,987,261,870,331,851,226,937,
610,477,746,913,400,182,382,228,317,940,756,924,122,251,090,180,292,645,864,
222,012,132,012,790,319,496,519,953,613,999,616,037,208,923,472,421,703,607,
832,436,693,253,695,185,188,900,564,294,469,454,811,208,554,668,892,814,412,
623,037,498,260,026,285,191,881,574,464,866,460,848,809,088,392,646,230,346,
392,360,559,727,614,565,177,921,973,692,770,444,931,527,860,828,266,306,021,
398,007,506,156,165,449,120,122,374,215,436,048,310,737,175,437,292,242,888,
213,139,524,311,678,586,757,368,532,111,410,540,068,779,501,124,237,194,957,
285,864,728,484,682,822,988,847,360,159,784,949,137,655,757,825,473,932,728,
345,750,815,293,437,382,344,424,036,609,925,091,685,256,059,266,434,889,499,
053,990,045,518,509,628,365,553,402,280,998,060,065,499,862,288,630,904,810,
442,125,153,551,429,097,157,071,335,395,580,888,209,581,209,941,894,905,457,
104,939,286,493,850,855,074,893,636,296,966,481,576,675,461,606,839,433,751,
635,450,899,547,857,247,991,890,220,695,771,439,499,952,500,261,523,144,588,
511,694,262,163,309,403,712,110,722,953,762,292,474,850,931,806,451,727,080,
561,216,061,569,242,761,058,065,299,305,346,472,268,173,716,988,693,658,863,
681,657,888,030,398,638,819,418,642,492,341,930,925,365,659,973,108,012,703,
314,033,522,589,243,725,019,383,226,989,888,307,199,995,625,359,700,213,167,
597,834,550,406,833,863,878,594,813,679,366,128,002,372,651,910,656,863,143,
335,591,390,230,206,563,798,211,696,661,082,609,407,310,836,143,031,518,852,
484,957,040,665,952,592,363,531,084,524,258,439,380,011,566,386,796,424,340,
087,941,588,464,739,429,909,547,548,051,416,408,828,673,085,652,898,166,591,
911,256,548,910,334,080,412,635,351,572,591,245,331,365,125,590,470,207,766,
649,878,866,089,836,265,887,226,418,197,922,280,237,033,379,297,528,538,837,
461,265,006,032,863,606,234,812,415,926,414,894,233,137,615,577,974,015,717,
760,329,515,517,004,324,569,462,170,184,104,012,532,082,617,063,799,854,121,
221,818,023,962,868,995,839,258,521,553,441,068,846,290,548,671,568,281,259,
568,748,643,951,829,523,578,022,755,494,116,390,901,910,744,621,968,753,022,
824,534,880,168,593,889,779,796,011,399,622,424,593,286,695,965,598,207,417,
304,756,684,518,845,017,348,155,344,300,870,207,125,171,986,957,449,823,715,
996,581,522,663,377,541,174,840,030,132,869,955,828,825,540,706,683,997,539,
400,931,246,674,653,139,991,351,640,134,258,748,214,933,626,129,839,513,993,
561,588,369,990,667,198,848,394,610,234,627,154,085,028,084,594,991,281,636,
508,382,754,143,783,206,760,771,058,730,791,696,609,466,983,894,729,729,589,
260,630,360,020,858,414,500,374,190,074,556,591,863,738,784,166,634,902,076,
281,718,978,447,907,723,427,463,018,224,382,119,945,194,489,030,633,991,002,
366,928,928,834,618,183,693,534,316,836,605,633,721,142,265,214,638,801,193,
581,580,592,967,346,342,679,063,133,357,733,798,599,425,153,115,143,498,241,
891,868,872,278,142,025,776,103,229,583,998,416,789,693,334,770,666,044,182,
110,052,860,535,377,600,015,652,443,710,732,800,214,058,322,459,966,852,900,
464,157,870,819,262,306,150,086,153,323,604,500,307,826,930,358,381,650,786,
865,961,822,306,948,280,299,795,256,917,950,341,772,437,689,039,482,652,392,
751,828,351,785,296,415,130,118,671,112,331,835,616,023,347,381,998,966,019,
689,818,178,473,846,899,881,578,440,392,419,694,488,291,567,471,823,385,642,
113,272,983,098,473,016,866,973,667,091,268,811,490,266,261,306,500,403,737,
189,504,252,206,287,554,912,770,478,380,483,582,509,934,707,852,077,454,588,
835,020,199,164,251,090,505,616,063,153,891,431,436,212,294,360,845,779,676,
066,693,794,976,853,677,815,941,021,927,590,296,361,132,498,253,627,657,632,
828,649,837,056,570,564,234,546,691,099,621,683,541,774,278,520,758,187,687,
975,306,302,476,013,566,975,481,409,670,874,076,343,203,357,196,357,144,241,
928,776,628,879,417,550,207,479,893,247,007,524,782,871,216,652,024,866,622,
637,982,696,034,065,316,610,700,307,375,485,822,661,949,706,542,235,457,186,
708,026,743,104,832,306,926,879,242,404,025,789,276,057,720,987,819,384,039,
174,280,791,240,316,898,159,416,215,635,152,221,594,408,504,867,006,249,419,
889,488,405,814,256,017,029,979,840,349,782,058,632,884,817,630,459,663,123,
179,675,858,778,324,821,643,542,373,130,210,002,161,258,277,016,295,728,575,
231,751,132,412,338,832,555,850,173,706,739,626,858,102,816,095,117,162,990,
640,545,936,230,880,659,131,469,830,451,636,532,484,766,705,720,423,522,711,
988,852,663,686,173,298,577,040,838,185,037,480,731,607,392,029,031,165,308,
314,280,616,826,477,726,141,737,246,897,761,726,065,347,189,467,424,488,865,
211,375,745,031,892,635,084,194,980,415,093,718,125,616,580,884,677,874,231,
202,580,815,826,661,576,330,880,512,801,037,481,133,664,583,388,069,524,061,
998,310,806,826,071,202,537,024,595,189,985,280,006,112,331,213,276,526,437,
082,823,269,075,211,648,092,109,989,222,593,762,399,479,836,243,410,604,140,
997,178,546,766,340,118,706,215,106,197,502,563,375,988,711,186,192,121,840,
440,653,953,635,157,255,993,865,618,837,566,761,303,035,763,927,171,677,766,
115,338,695,481,812,431,177,272,686,585,961,237,524,817,120,615,264,878,244,
639,726,466,911,802,670,115,097,549,874,811,373,859,458,464,122,368,695,467,
213,329,830,963,802,177,609,228,139,540,401,622,389,251,272,200,902,469,360,
490,438,312,887,851,709,216,175,786,765,374,899,834,775,947,407,417,951,458,
218,925,124,313,037,671,425,461,299,159,697,692,168,855,618,758,561,186,473,
131,977,675,784,217,806,427,925,036,119,819,478,608,907,799,971,466,131,919,
519,110,931,807,222,361,523,187,168,432,444,118,422,708,876,045,390,948,929,
682,745,206,388,083,418,667,845,668,793,241,108,744,285,317,707,722,475,746,
977,827,402,619,762,639,096,892,593,910,019,375,903,107,065,645,950,802,042,
142,480,690,789,753,983,975,429,216,491,666,886,299,540,595,075,879,410,330,
558,824,313,095,669,686,138,494,268,304,452,066,687,787,127,372,211,752,106,
185,846,150,325,216,331,694,097,499,897,223,361,442,911,058,346,266,175,669,
932,166,236,580,972,627,123,764,747,293,587,293,137,078,011,897,952,293,957,
035,901,129,572,459,790,057,431,105,218,859,258,268,261,099,574,641,669,072,
608,797,231,306,696,401,485,594,570,647,176,757,596,014,816,340,013,753,773,
200,918,610,074,147,922,420,811,604,819,366,697,229,130,790,005,245,821,196,
132,222,564,385,588,871,723,062,583,006,353,171,975,397,132,565,663,019,944,
297,142,264,966,027,159,032,961,471,396,550,752,103,901,198,558,893,744,411,
065,752,297,927,686,582,014,102,160,824,460,763,393,449,483,342,303,586,161,
979,548,771,204,641,559,119,699,798,704,438,301,147,741,015,611,864,445,139,
827,482,335,812,176,983,313,462,154,094,503,106,525,764,594,825,637,189,474,
448,264,441,818,499,939,684,269,901,476,667,432,291,554,593,072,895,694,998,
295,312,277,296,630,943,765,630,807,594,818,603,329,363,088,508,191,717,006,
023,659,233,576,974,600,895,316,687,735,385,103,068,022,259,339,061,643,795,
408,038,115,072,804,132,142,816,350,434,310,425,133,725,688,469,238,324,701,
610,384,502,613,592,794,347,349,782,809,883,687,892,692,086,320,043,917,106,
229,885,375,295,107,928,494,911,757,269,085,608,005,047,162,791,924,066,759,
177,808,105,369,287,736,634,268,741,124,160,220,008,619,160,538,685,892,232,
556,056,361,964,873,240,921,990,052,276,628,089,582,581,869,454,564,300,357,
887,562,874,424,253,419,803,060,232,788,963,399,512,605,812,501,040,949,685,
374,303,064,431,018,465,385,432,817,671,202,618,408,513,261,875,153,448,679,
476,365,799,212,067,115,602,099,297,654,297,138,502,920,779,579,347,660,455,
643,309,491,730,483,021,315,597,444,763,067,233,483,467,922,496,519,203,846,
176,104,250,309,593,806,771,049,168,134,086,068,954,086,496,678,475,770,486,
685,780,339,367,263,256,980,924,130,794,050,368,772,987,049,577,052,292,500,
494,503,529,414,293,247,977,522,341,780,593,386,980,690,315,509,250,987,786,
873,346,341,367,461,481,431,686,659,128,458,544,925,484,776,531,832,562,856,
901,939,895,312,271,504,715,115,843,810,229,863,037,360,093,574,977,928,083,
322,422,769,390,119,978,904,794,821,220,017,281,880,681,007,638,102,566,201,
173,830,739,474,546,549,915,144,472,106,875,452,167,996,971,043,742,163,323,
554,551,249,429,465,431,024,719,600,860,188,542,722,710,168,848,460,914,480,
044,547,305,592,408,324,098,885,797,520,036,996,705,541,372,444,191,905,506,
092,780,856,100,165,439,510,745,395,723,758,493,093,910,721,471,922,341,370,
186,553,151,840,545,750,914,484,605,941,131,442,286,888,086,221,317,084,668,
173,463,377,170,073,380,663,876,229,951,891,198,730,149,625,353,739,518,066,
106,194,503,565,865,025,686,356,824,828,891,223,037,875,891,845,609,890,602,
968,934,937,263,382,384,965,205,553,567,343,469,352,309,409,572,083,223,413,
887,647,239,558,567,082,204,575,857,632,377,747,817,633,628,926,783,519,628,
750,976,250,133,253,293,352,418,117,185,172,083,670,995,098,014,185,355,051,
100,039,661,667,569,138,357,292,183,732,146,808,551,484,362,706,971,970,288,
355,873,965,713,489,771,446,610,807,526,603,826,654,204,531,786,861,640,477,
310,377,353,437,091,039,482,481,099,809,858,370,667,075,127,129,668,706,485,
118,666,133,908,391,010,850,142,601,628,303,078,986,328,965,159,388,795,379,
585,464,598,544,557,289,316,294,845,387,502,968,589,348,480,095,789,506,621,
735,600,590,885,438,105,840,524,065,742,443,664,657,801,709,171,536,608,050,
223,778,448,453,591,645,317,587,101,045,424,613,109,341,169,489,091,061,762,
851,291,170,826,190,033,040,681,575,987,289,426,408,745,718,930,942,938,305,
532,305,914,141,789,052,310,686,401,403,539,661,566,980,856,569,631,022,984,
146,821,044,159,908,522,742,365,476,578,523,612,701,136,900,039,820,328,697,
407,411,461,045,696,820,700,384,493,197,873,337,975,065,189,628,420,667,514,
910,354,785,119,431,375,381,702,422,462,613,768,389,382,985,364,400,648,832,
948,568,998,325,653,074,599,789,727,532,881,099,648,387,550,150,532,612,005,
068,363,518,901,720,581,087,447,106,730,927,945,354,302,970,439,710,172,992,
181,916,953,050,716,270,792,133,815,347,504,620,924,953,312,396,113,095,674,
784,390,187,390,910,636,068,463,384,849,515,229,458,775,368,244,813,208,649,
702,568,749,176,254,510,120,487,759,246,418,885,513,601,455,896,062,368,226,
084,372,009,982,175,027,734,702,715,212,459,828,361,193,872,345,518,589,575,
430,101,101,330,912,417,269,091,137,634,572,000,023,725,659,429,557,250,696,
811,879,715,834,048,670,730,726,621,742,561,966,521,716,710,636,315,198,350,
662,418,207,632,747,358,600,405,597,705,232,669,670,521,825,654,903,125,744,
134,596,474,755,197,149,897,259,752,457,805,601,667,249,211,714,428,789,137,
849,482,898,423,667,841,724,019,850,046,047,108,612,413,515,398,768,513,964,
504,712,454,945,839,722,889,374,440,763,949,224,203,309,233,779,789,015,977,
377,498,631,098,308,668,305,748,377,179,466,365,970,083,504,907,839,698,755,
434,756,210,278,897,698,108,099,532,806,427,769,554,214,192,884,225,212,564,
281,482,963,247,141,747,382,920,222,960,320,083,041,017,367,329,268,885,598,
706,540,217,041,316,831,626,193,424,954,608,693,377,628,682,001,824,646,320,
164,337,386,016,137,904,008,442,007,349,555,265,192,978,457,574,925,067,187,
128,751,677,252,386,650,828,859,995,383,408,643,432,107,228,645,215,476,760,
979,646,578,450,805,726,404,403,548,655,467,561,766,380,255,136,030,312,108,
506,813,049,848,096,217,751,795,662,849,037,170,016,601,755,792,691,927,789,
873,258,559,181,796,893,067,189,489,622,242,061,213,229,018,441,806,874,873,
962,549,225,402,256,045,616,542,668,536,461,434,751,348,388,465,319,263,591,
852,071,489,151,621,259,623,371,091,368,431,129,126,664,926,903,207,736,523,
879,309,537,993,390,157,493,044,271,346,430,217,627,427,345,234,439,364,633,
981,096,321,283,080,105,312,710,798,616,375,402,138,406,188,792,648,396,151,
808,159,771,168,275,737,631,577,531,873,897,352,133,808,289,248,601,113,395,
084,597,246,896,426,038,572,260,078,952,237,625,188,993,342,400,536,986,402,
724,552,297,924,538,184,892,495,988,985,100,338,962,516,770,757,332,880,204,
629,382,707,509,590,736,746,910,525,899,823,906,375,648,932,723,413,898,454,
297,011,874,427,474,042,259,323,454,911,521,908,300,806,393,593,834,854,313,
169,446,521,049,062,702,106,489,559,032,409,595,193,595,065,590,278,753,244,
146,705,311,017,987,778,283,091,387,397,219,317,738,420,771,387,439,008,603,
213,901,954,365,974,890,199,088,968,063,453,261,661,967,118,353,629,063,782,
615,909,358,372,693,208,398,921,841,386,201,898,836,047,735,490,368,793,047,
419,105,025,605,093,124,670,174,597,205,762,312,128,726,515,299,646,226,612,
286,590,992,684,217,063,786,315,778,779,571,950,611,192,738,052,995,962,987,
346,493,527,373,884,308,998,018,541,443,739,034,351,146,498,690,975,505,831,
472,912,759,740,337,021,076,156,328,552,761,310,054,488,327,879,609,309,950,
769,404,615,297,155,307,839,266,924,045,284,963,472,929,029,095,111,348,978,
346,549,896,931,711,518,724,593,792,554,626,142,977,482,781,678,294,048,010,
231,499,540,927,560,081,586,756,973,641,293,087,825,668,585,063,647,550,718,
456,986,169,350,613,522,851,057,696,066,573,845,678,202,296,084,547,582,678,
932,308,836,785,734,854,387,451,742,496,887,980,044,361,496,522,435,544,486,
837,980,624,362,218,805,709,983,656,943,075,549,615,420,833,763,266,895,581,
498,924,707,561,436,448,834,704,987,482,779,044,936,816,091,900,104,128,611,
234,390,268,434,350,734,700,068,615,817,483,909,086,133,826,494,320,204,572,
210,521,040,867,646,348,789,464,997,585,306,393,387,796,716,014,347,664,855,
058,736,424,434,237,667,774,990,684,764,604,801,708,604,554,290,349,968,254,
513,354,612,512,745,286,569,209,964,930,549,482,261,454,187,663,754,512,468,
585,780,739,772,053,013,033,921,707,463,826,655,744,556,262,500,313,734,471,
646,413,336,557,076,431,192,394,559,730,418,637,309,009,881,414,511,636,345,
766,069,380,517,316,633,148,210,157,456,164,374,756,449,266,691,335,623,405,
702,840,612,988,909,919,513,224,903,267,897,797,827,490,353,464,115,197,690,
489,303,073,055,546,528,678,802,554,309,193,141,284,839,601,609,500,737,237,
218,550,935,042,904,496,611,701,521,559,466,460,227,857,722,772,611,357,557,
418,251,503,136,599,961,584,972,998,087,930,822,138,622,436,955,086,487,399,
565,729,996,726,143,549,853,771,398,053,049,219,057,418,701,794,014,106,636,
230,914,182,394,469,486,585,731,244,063,169,883,824,661,241,871,848,826,407,
582,709,143,069,349,245,915,929,597,636,035,998,196,917,492,073,445,128,574,
253,054,789,409,516,895,986,238,352,813,906,095,500,795,417,472,678,288,741,
195,508,430,546,124,040,638,512,017,046,759,179,370,939,279,486,220,079,830,
332,640,796,667,434,307,108,055,889,086,297,840,258,194,287,767,141,108,258,
659,668,323,125,967,721,782,107,480,187,264,947,077,564,728,704,815,825,681,
197,977,280,353,587,295,905,193,412,379,491,659,635,278,859,968,167,499,316,
208,066,875,765,850,973,304,164,364,131,110,697,750,847,378,935,176,070,346,
520,300,101,687,242,805,255,542,347,605,595,202,372,806,790,910,071,173,392,
549,224,088,797,184,106,346,711,352,042,918,160,306,693,935,813,453,370,663,
355,833,517,641,731,069,634,409,738,076,835,211,649,667,916,232,249,997,733,
936,332,183,388,983,360,783,171,719,942,849,887,871,436,048,134,655,692,865,
596,388,950,987,080,146,262,054,240,015,686,994,033,579,090,269,991,366,701,
033,828,627,244,481,011,588,478,029,161,376,272,470,754,228,375,172,546,372,
409,124,664,476,199,375,961,067,526,969,037,555,740,403,179,285,599,698,696,
739,616,093,033,519,858,115,705,179,654,050,380,356,924,736,931,353,581,965,
789,825,675,475,270,127,383,832,417,730,786,939,916,952,017,358,702,737,336,
507,526,609,981,035,286,719,804,754,030,467,195,781,494,698,606,430,122,738,
210,704,121,467,597,044,363,279,241,970,998,994,741,974,190,342,909,502,944,
725,164,920,401,869,383,623,027,747,353,913,707,795,967,577,126,724,343,938,
695,100,553,701,476,752,681,427,305,403,514,138,331,977,710,863,466,355,914,
515,789,919,501,786,747,831,275,817,963,201,684,945,524,297,087,247,405,620,
276,668,978,578,493,739,828,615,119,294,680,916,005,205,610,141,942,944,478,
772,352,887,377,952,143,594,241,376,938,057,643,636,355,543,496,741,501,602,
966,376,332,153,476,888,910,860,096,811,735,150,398,610,219,163,250,854,169,
561,723,811,037,994,589,342,608,729,643,303,440,902,144,857,864,135,119,879,
397,368,490,862,008,571,908,366,895,913,380,026,322,367,447,402,587,886,090,
226,228,649,335,295,562,701,477,219,079,114,482,824,885,332,669,894,470,979,
792,444,440,157,276,065,259,050,912,240,496,731,384,940,029,004,010,638,492,
675,128,058,520,891,398,919,484,306,393,223,771,492,723,040,427,727,158,792,
560,427,719,476,404,488,606,352,623,899,851,385,340,335,907,877,471,010,739,
616,399,592,659,758,933,155,003,442,813,363,328,311,584,060,526,103,212,474,
851,012,422,655,810,611,901,994,621,661,718,352,991,935,740,871,147,991,559,
583,728,330,830,842,402,238,205,530,658,140,497,647,528,810,773,230,417,823,
332,025,097,150,712,516,596,527,516,957,958,569,193,264,000,142,319,845,680,
224,534,859,782,994,218,222,844,106,496,767,578,141,441,172,858,569,550,875,
420,956,494,710,129,764,225,340,634,211,220,215,316,823,616,034,968,776,376,
584,697,523,225,457,199,496,113,098,311,530,649,682,054,335,255,804,801,800,
044,637,835,118,374,977,784,621,724,591,686,198,464,680,276,648,609,774,279,
284,087,687,925,107,843,029,571,520,452,745,776,830,032,756,942,994,202,251,
962,704,036,539,217,968,357,536,687,361,079,711,450,123,674,434,941,528,047,
195,914,011,884,321,403,655,089,628,996,331,087,048,646,097,151,486,725,500,
402,056,651,930,199,286,118,364,893,034,841,816,083,647,505,553,302,263,894,
921,601,071,386,439,516,551,600,081,467,873,548,594,372,296,427,521,076,439,
052,740,759,643,993,796,217,044,299,159,379,119,114,131,293,145,812,193,957,
360,412,331,907,947,647,746,043,884,933,281,033,927,198,657,409,481,774,431,
840,500,291,983,735,922,737,709,038,665,510,290,789,871,243,312,660,174,432,
435,583,548,337,950,385,829,177,946,484,405,782,461,159,446,225,315,399,842,
454,732,149,733,715,896,478,798,274,827,780,645,419,145,298,520,887,844,911,
989,990,281,691,865,933,631,127,176,440,730,593,032,214,311,171,896,152,976,
326,893,578,019,463,394,275,269,359,764,868,530,573,206,498,894,348,216,214,
250,656,888,142,307,979,352,849,103,573,719,331,003,286,387,383,809,591,569,
733,848,712,969,311,438,491,900,525,853,397,041,810,693,826,191,395,750,735,
496,205,844,547,750,523,276,968,445,308,428,927,299,811,748,166,385,531,476,
630,085,802,708,691,326,070,061,763,566,283,926,496,645,072,673,715,858,278,
711,071,087,067,259,636,724,721,998,890,388,023,020,400,975,230,965,096,857,
983,413,161,882,473,391,505,758,529,756,985,704,098,338,753,885,367,977,396,
694,262,322,258,807,253,152,656,542,030,758,272,585,766,739,765,163,558,375,
121,406,275,421,778,359,445,704,869,100,961,764,753,210,448,590,751,009,852,
657,175,436,540,439,764,287,617,396,374,832,755,704,166,421,618,460,500,667,
060,812,082,822,096,843,221,202,734,325,888,940,143,535,646,929,848,080,572,
937,237,010,081,332,508,319,155,367,523,827,135,266,911,875,761,849,119,154,
308,885,537,040,138,198,337,552,087,429,795,492,729,948,894,469,864,129,526,
228,137,440,621,299,155,308,545,181,187,067,257,349,526,805,118,823,874,601,
988,726,820,906,739,563,542,631,366,961,016,666,514,688,098,882,351,632,858,
124,247,649,726,603,150,336,815,471,924,930,782,078,618,332,268,932,918,625,
388,095,240,635,429,096,763,979,807,456,413,723,403,512,127,807,729,482,342,
653,606,593,508,190,085,784,917,834,979,587,700,535,149,482,807,488,795,105,
394,304,774,659,503,458,900,669,647,745,489,014,710,408,044,661,394,767,704,
988,984,316,998,391,134,065,787,814,816,505,662,201,646,634,530,818,431,013,
035,780,226,294,219,234,311,645,497,727,919,078,763,439,023,345,107,065,393,
470,774,802,395,361,834,622,971,890,244,468,237,723,641,365,515,813,102,860,
174,999,728,441,248,010,056,591,063,977,038,086,896,299,209,955,470,565,676,
751,669,080,462,715,405,639,548,014,051,984,868,037,650,861,428,032,287,681,
192,682,312,445,092,255,572,088,670,810,471,560,960,741,773,606,571,913,347,
134,468,363,795,327,262,731,773,592,112,157,380,385,407,741,979,261,245,478,
459,187,245,168,419,444,895,257,242,478,206,131,777,834,007,158,533,670,594,
766,099,138,475,858,450,895,946,275,172,331,770,123,319,974,563,954,228,671,
710,313,858,566,191,637,502,842,088,390,007,373,494,512,770,680,234,173,845,
785,953,765,555,288,607,553,638,549,287,730,686,389,585,977,331,551,891,542,
295,043,115,094,274,742,928,266,502,869,078,269,542,686,488,241,574,814,237,
892,798,690,483,859,916,723,156,753,272,060,888,864,337,690,523,744,210,477,
674,701,032,592,267,917,284,562,209,596,800,203,771,563,949,483,141,600,123,
161,343,064,901,738,998,964,546,083,514,482,485,985,520,075,999,371,929,589,
255,204,101,257,231,693,013,162,842,710,931,045,944,023,169,072,931,168,797,
333,519,373,147,732,065,903,444,232,276,137,918,283,266,259,103,201,859,977,
757,742,507,333,178,047,005,771,194,793,295,936,225,131,443,236,979,073,526,
810,457,017,308,400,226,954,669,557,874,118,309,814,651,399,366,128,025,412,
362,227,300,186,796,880,245,504,029,548,324,539,394,302,675,131,163,204,477,
641,562,758,960,742,106,026,537,036,071,833,883,820,518,643,095,371,696,521,
012,701,568,000,355,964,039,314,276,025,102,638,346,063,035,517,440,010,179,
211,384,007,670,999,772,354,788,981,183,396,045,725,160,222,324,607,827,875,
929,631,802,811,224,680,168,776,902,392,014,900,348,485,940,254,501,133,412,
241,516,676,453,508,311,788,839,362,466,231,716,269,211,542,784,707,929,986,
240,285,885,091,369,745,478,224,591,448,964,808,230,315,306,539,815,332,515,
638,792,955,230,810,420,159,964,206,690,354,415,495,261,478,700,478,709,840,
517,317,829,955,973,545,383,245,196,812,698,674,479,192,640,628,748,231,923,
416,410,284,446,146,992,993,660,376,539,655,985,230,323,695,804,636,809,250,
387,638,650,685,591,396,322,074,076,080,254,857,941,558,234,853,294,233,308,
241,545,410,529,276,897,150,908,103,542,587,855,579,469,005,875,989,427,778,
422,768,594,247,405,850,575,707,068,390,532,523,152,241,223,831,549,457,733,
074,503,684,738,237,696,170,512,425,248,445,689,826,216,603,881,353,717,601,
275,731,816,588,851,497,590,030,991,860,806,504,845,948,082,207,762,466,255,
799,457,481,917,630,063,832,025,874,802,231,834,006,196,717,991,172,929,726,
572,833,843,097,969,541,000,460,169,722,453,711,029,243,903,940,843,936,694,
593,054,767,562,717,741,891,443,910,902,031,094,782,903,060,375,116,225,631,
004,769,955,569,468,505,570,997,242,564,544,419,333,433,534,109,589,951,911,
373,875,772,469,921,048,283,535,528,695,060,982,226,357,786,900,973,144,186,
062,693,508,598,914,928,755,525,241,075,620,932,226,685,389,656,732,938,167,
376,162,245,786,034,740,559,076,760,742,320,854,916,667,677,325,108,265,421,
387,746,460,972,904,336,915,502,076,343,070,585,144,965,635,634,401,717,090,
268,551,407,124,539,304,973,867,282,624,608,598,400,928,729,961,951,196,852,
031,719,848,184,463,826,179,856,916,850,114,273,439,537,229,401,624,758,584,
090,421,885,477,236,374,615,736,907,100,661,858,083,478,262,175,439,706,243,
805,544,364,452,585,948,736,332,903,698,141,865,391,045,073,931,630,006,956,
927,637,506,363,656,489,576,457,774,220,448,913,329,150,631,993,946,640,144,
513,996,930,211,473,555,927,518,863,069,372,449,326,655,489,264,409,417,023,
190,167,133,919,834,828,732,637,603,931,111,163,382,794,065,457,156,495,434,
498,322,826,992,942,157,971,220,463,924,663,936,248,905,519,634,969,065,100,
023,520,197,907,857,623,169,870,742,391,142,973,361,691,526,851,706,208,852,
536,819,607,581,013,194,770,359,374,838,289,059,292,892,426,772,427,123,617,
101,858,467,360,365,435,325,986,103,438,445,692,506,684,587,324,097,724,147,
137,796,437,105,777,388,221,455,513,405,189,832,239,050,478,032,723,634,485,
376,925,477,233,456,923,135,821,917,615,485,543,830,504,502,574,240,759,463,
539,927,777,990,785,844,097,751,020,830,679,452,613,149,385,112,180,859,636,
758,288,041,426,969,045,262,377,100,995,751,269,163,336,305,875,537,406,934,
229,893,367,529,580,245,747,736,604,195,717,121,907,559,527,139,949,272,957,
642,929,996,593,062,145,108,511,901,090,142,354,974,633,667,044,459,916,501,
747,889,942,390,357,588,473,551,402,992,058,577,821,979,232,395,661,122,306,
012,464,766,846,977,881,442,052,856,798,536,852,790,017,706,396,438,733,103,
115,899,926,882,960,751,106,740,328,247,245,141,870,302,640,605,324,747,038,
706,102,158,656,872,849,154,238,294,982,146,310,029,313,342,911,093,534,393,
818,006,117,638,765,900,681,886,028,835,095,965,577,781,603,927,636,671,006,
566,665,321,086,149,260,697,052,090,682,454,542,075,323,309,211,306,743,359,
306,937,379,008,565,369,300,177,115,197,644,637,304,668,972,345,770,342,538,
778,235,066,368,335,285,455,427,278,768,051,282,824,844,507,186,789,086,573,
077,357,918,875,670,666,300,416,828,063,520,067,848,526,260,630,521,035,362,
116,729,307,376,435,046,214,135,185,633,218,047,634,967,712,580,510,285,734,
434,782,347,638,819,104,664,416,526,437,234,590,575,544,221,928,104,599,511,
464,711,130,514,139,624,875,040,177,936,656,331,208,432,274,152,178,210,544,
030,250,183,702,336,487,786,809,460,332,544,420,521,829,794,706,581,642,630,
788,577,843,063,574,449,634,384,574,459,022,051,982,166,963,178,349,515,543,
177,154,197,778,178,831,468,636,473,709,569,497,216,856,025,328,999,982,132,
688,949,800,957,811,269,535,449,221,503,257,421,485,479,952,539,074,806,786,
259,037,827,452,834,779,834,536,777,647,299,788,939,440,151,584,840,846,582,
832,686,967,160,942,528,590,887,312,703,110,519,140,878,500,488,653,350,964,
282,801,054,055,564,809,774,029,486,040,483,028,917,091,208,070,356,915,120,
984,944,396,590,204,466,299,762,995,734,548,797,981,692,419,825,635,519,298,
763,798,532,766,441,804,280,870,777,915,178,869,031,963,429,617,829,599,600,
710,524,286,447,273,150,985,392,986,348,201,375,241,619,656,549,468,522,849,
852,106,138,758,348,203,486,234,563,383,727,656,947,654,391,883,493,477,343,
486,151,535,758,078,031,584,389,063,893,924,103,959,396,693,491,378,254,290,
923,772,221,132,530,010,802,932,323,185,068,302,979,426,153,216,942,163,424,
727,052,296,568,178,213,712,287,627,830,453,083,013,915,815,427,776,644,990,
894,896,763,632,503,063,760,557,402,389,871,959,754,075,467,339,363,065,850,
081,887,322,923,991,667,669,616,508,358,540,612,265,986,744,831,583,160,846,
025,149,894,152,494,793,918,024,368,046,759,922,445,079,946,854,401,986,726,
217,597,350,507,922,836,732,923,842,287,965,931,912,251,426,579,942,472,270,
405,344,100,483,337,211,537,111,662,266,389,207,375,692,444,675,612,822,712,
709,236,076,519,096,689,712,989,226,529,591,421,161,507,905,854,595,427,681,
608,218,242,182,087,099,053,999,402,311,531,843,803,779,789,845,545,197,225,
167,340,148,114,177,883,954,633,149,017,868,909,401,634,827,397,934,660,995,
962,426,121,364,322,914,204,015,844,646,451,711,844,676,630,708,925,086,911,
706,197,199,254,938,955,726,418,808,982,792,236,106,490,776,046,754,237,097,
589,147,944,693,903,618,804,892,953,223,820,562,178,388,738,272,867,062,387,
193,734,646,703,522,858,151,217,927,680,309,418,097,726,256,918,028,908,727,
238,433,289,453,637,859,145,808,314,063,154,858,763,776,585,598,412,781,128,
899,234,672,452,691,038,545,632,935,704,431,296,482,357,661,692,771,014,656,
428,719,157,135,809,763,229,124,121,624,865,749,243,756,631,374,592,149,744,
250,205,432,930,850,870,042,509,811,430,982,932,528,501,150,529,634,028,943,
719,562,776,187,198,438,247,343,476,045,929,910,897,837,218,308,713,043,388,
678,499,819,945,210,558,233,467,550,251,898,595,769,858,846,408,681,602,348,
847,489,359,873,981,057,626,202,325,709,188,755,991,781,681,656,211,846,331,
326,642,881,592,439,449,782,934,785,713,033,949,977,728,024,261,935,135,296,
351,871,636,189,014,131,264,191,842,664,517,135,809,807,078,500,763,901,403,
059,834,009,681,382,937,599,187,583,723,196,488,091,676,569,619,031,981,651,
626,128,284,618,734,186,929,258,038,486,127,184,031,077,551,074,710,426,432,
571,192,102,804,580,758,692,415,876,037,384,442,808,576,257,366,163,416,037,
482,075,647,848,898,799,379,390,543,342,151,899,565,500,227,391,600,324,462,
567,202,682,291,789,891,905,721,185,020,231,862,280,109,961,278,471,142,885,
167,984,697,394,708,874,714,265,355,286,706,824,401,551,890,391,158,132,424,
622,994,937,796,260,682,818,607,490,731,757,526,166,727,258,517,106,277,208,
558,282,542,324,327,826,512,273,574,734,955,975,826,083,393,197,013,820,178,
812,551,156,416,907,431,291,934,826,880,738,507,479,973,457,992,547,786,826,
292,241,696,369,857,106,475,581,693,353,951,586,992,211,197,565,855,228,875,
350,012,456,729,705,956,589,364,459,271,702,443,990,316,355,190,047,570,547,
762,801,327,674,166,483,182,628,200,753,356,313,822,021,520,236,820,440,762,
142,546,328,347,354,896,633,230,244,899,935,620,256,365,678,779,517,412,984,
428,797,736,265,883,053,079,722,650,123,256,016,645,893,412,668,985,873,257,
707,627,071,416,896,226,383,917,098,514,039,600,456,049,096,869,640,931,026,
696,382,840,435,793,393,935,892,140,427,504,720,528,056,941,236,071,552,247,
969,491,269,176,532,656,502,052,478,186,314,574,125,184,512,880,033,918,623,
540,294,639,983,340,715,663,855,462,265,255,732,848,687,978,195,559,499,513,
150,019,762,045,415,168,788,749,543,226,404,391,602,403,935,960,986,673,004,
469,049,075,929,129,365,318,673,176,036,315,390,607,015,012,657,317,734,189,
182,827,742,345,569,202,339,234,385,303,472,603,668,431,034,612,273,997,758,
223,983,079,176,460,870,113,952,582,450,911,860,558,865,874,762,429,875,771,
583,956,913,222,316,457,044,181,393,021,194,405,256,227,063,602,694,175,933,
090,831,599,794,999,627,782,076,250,613,452,505,892,523,487,265,150,709,249,
854,682,238,279,409,262,426,077,350,241,697,928,619,360,149,019,245,896,084,
744,692,033,009,174,344,750,195,896,909,374,997,878,935,385,358,986,820,537,
751,320,375,612,795,087,742,818,218,217,942,126,666,112,978,422,593,578,454,
843,307,055,969,292,760,768,284,129,045,734,609,450,730,336,803,599,359,268,
554,802,079,544,538,478,036,748,997,136,153,267,262,502,920,269,343,739,639,
302,965,167,891,235,175,818,214,056,566,869,874,877,245,745,614,580,878,225,
977,832,099,859,504,007,359,804,336,410,580,937,393,054,314,130,747,593,154,
123,703,213,494,761,791,171,659,780,470,492,060,706,373,908,402,109,548,635,
486,678,189,305,431,361,667,632,357,564,968,065,028,196,291,914,119,155,365,
377,868,566,129,319,641,329,983,899,195,094,911,890,116,874,461,899,278,210,
546,124,238,982,057,455,786,033,537,915,868,494,035,691,906,938,977,197,535,
363,136,149,451,429,697,165,681,401,071,963,281,404,823,123,242,956,722,561,
643,218,848,784,587,211,920,531,935,175,210,136,044,268,002,399,412,761,519,
207,286,193,127,038,200,073,981,755,620,492,462,849,826,835,699,636,964,183,
866,398,249,033,052,740,151,968,336,922,300,340,183,064,769,967,012,646,327,
185,394,795,367,816,917,930,694,675,139,474,147,839,029,701,220,359,307,617,
594,066,866,341,010,177,388,257,544,126,990,388,714,099,283,617,158,359,097,
021,759,030,469,273,005,545,472,383,701,503,704,984,452,935,931,910,113,469,
701,262,578,550,726,689,605,068,626,268,406,433,177,784,678,193,314,538,219,
174,000,719,411,606,517,042,069,949,049,228,157,313,988,010,464,585,983,739,
596,987,223,649,384,053,104,909,167,178,843,627,851,983,241,420,587,407,521,
750,262,009,761,516,894,695,290,809,563,663,514,700,057,735,689,675,347,232,
056,960,279,408,343,540,259,424,065,832,034,997,763,803,961,730,860,803,110,
708,074,138,894,004,105,563,064,293,368,408,662,565,939,604,730,637,420,202,
448,947,909,631,924,264,842,282,051,101,540,053,459,385,807,972,577,129,101,
953,896,934,441,241,437,689,021,503,434,266,230,294,198,919,316,969,380,638,
663,684,980,730,200,336,299,493,692,750,472,241,114,991,460,131,114,804,950,
694,335,496,075,530,565,622,289,785,962,019,562,423,726,226,063,376,353,216,
545,452,666,917,024,170,791,717,965,031,123,223,160,494,916,886,018,594,761,
756,199,180,514,701,436,823,146,695,709,123,680,657,867,296,698,564,090,177,
295,243,162,518,239,151,481,854,278,615,099,643,410,544,960,342,753,741,470,
856,862,131,682,051,454,194,765,609,525,670,335,732,890,278,887,803,088,433,
828,777,831,365,361,738,550,052,861,759,622,831,241,578,982,465,080,451,823,
418,012,282,357,302,846,097,717,134,816,213,525,260,457,483,024,462,629,225,
999,978,605,068,346,822,341,343,514,075,014,632,938,330,352,602,353,605,114,
903,593,394,007,515,594,792,334,193,678,853,028,226,800,714,015,717,453,052,
078,714,301,722,486,237,468,705,740,346,510,512,352,240,653,575,420,927,922,
464,773,960,180,431,559,161,419,160,314,697,916,299,908,822,983,503,311,873,
110,971,926,238,061,937,084,345,566,108,173,320,111,890,928,170,977,618,859,
089,685,131,017,492,238,394,470,429,773,149,994,996,061,800,340,993,698,443,
128,330,908,309,435,289,987,008,986,805,396,725,534,188,283,989,201,122,301,
019,040,940,809,917,768,109,568,472,087,029,421,883,980,092,916,287,462,427,
840,272,945,907,718,673,133,266,936,731,896,473,508,160,713,315,555,031,093,
627,028,489,837,047,251,562,650,439,812,413,868,533,157,915,458,261,697,709,
730,823,022,217,966,042,985,410,944,068,896,164,383,482,365,769,512,970,042,
392,363,711,859,735,577,546,190,091,737,162,910,380,276,234,425,658,512,245,
308,340,186,261,678,931,458,440,382,496,692,906,600,644,617,052,926,574,876,
152,709,784,049,879,665,716,684,705,105,287,006,850,896,530,482,253,829,234,
417,015,952,021,851,694,457,089,457,385,494,644,254,589,408,233,815,891,903,
808,712,555,566,794,272,992,974,721,291,690,646,832,276,744,693,941,816,928,
280,118,475,997,079,191,499,917,666,724,059,524,630,494,788,817,006,831,498,
528,584,047,078,063,867,013,529,586,156,542,411,858,063,145,490,515,418,816,
307,647,086,707,752,302,064,956,749,487,760,474,831,797,251,762,228,004,017,
073,679,187,550,715,260,016,050,261,049,511,146,539,061,287,223,382,062,529,
147,333,545,511,702,747,058,433,225,503,832,972,817,978,001,817,478,192,070,
263,053,117,994,721,941,502,977,855,501,066,010,514,595,156,580,399,466,294,
643,202,088,668,258,667,809,005,598,549,640,086,910,018,605,976,494,979,259,
259,357,685,802,134,678,817,192,534,760,176,089,213,473,284,385,172,956,283,
124,073,647,678,360,432,723,702,435,755,416,487,842,767,591,485,934,825,340,
103,445,365,388,137,355,282,100,753,709,851,588,718,845,851,056,341,381,989,
558,567,296,655,190,371,454,403,185,900,140,553,627,213,046,351,387,774,812,
407,784,770,955,809,889,968,818,681,213,990,008,080,058,065,262,583,294,369,
817,710,556,703,361,236,410,685,849,611,144,196,785,406,406,264,472,527,613,
921,350,506,263,932,548,639,004,596,566,914,722,870,693,878,955,702,767,701,
911,735,334,771,077,791,914,350,314,429,620,542,947,825,510,311,297,679,258,
339,621,190,564,997,068,917,436,024,544,188,897,879,129,679,836,963,071,788,
177,975,420,893,800,116,507,199,074,696,990,970,515,886,602,734,950,087,105,
373,912,962,698,060,460,985,959,051,690,965,602,479,569,148,324,667,947,501,
858,005,467,903,393,671,757,359,967,659,491,594,265,881,747,904,767,650,776,
331,634,067,845,445,351,779,104,309,940,294,982,210,982,595,744,042,351,595,
400,768,304,279,246,497,285,443,733,062,843,519,517,222,657,116,108,568,914,
444,767,853,829,582,241,152,948,766,957,949,579,008,452,464,961,300,927,488,
818,920,021,861,875,041,814,387,911,337,634,697,202,329,537,981,678,094,667,
973,393,672,393,627,326,988,871,567,353,986,189,245,435,064,182,747,495,926,
216,435,581,776,973,822,259,977,469,685,875,184,619,281,981,208,297,038,524,
153,445,857,473,574,655,416,353,198,206,042,860,628,389,686,021,159,165,169,
274,093,463,545,737,948,430,584,583,705,325,690,761,228,600,027,566,642,534,
857,258,493,544,512,621,192,315,794,197,914,428,774,503,471,116,544,168,070,
490,898,879,232,224,460,740,461,067,278,082,613,579,571,793,963,357,789,222,
923,011,770,499,850,959,284,292,927,818,962,248,619,489,374,690,448,208,145,
695,472,143,022,955,962,770,948,805,481,466,253,333,146,953,157,763,862,381,
329,765,184,240,923,029,730,531,888,858,190,564,825,017,184,989,878,014,587,
701,219,762,636,601,569,203,509,765,677,696,032,487,559,505,984,636,670,699,
598,314,351,673,415,875,986,408,834,177,164,748,975,957,860,926,255,071,593,
685,126,024,765,375,682,408,659,355,960,768,846,203,467,545,745,178,419,003,
216,255,577,547,118,131,086,804,957,021,353,604,853,457,727,104,530,394,608,
213,365,542,789,876,091,966,372,479,710,784,586,669,012,609,162,006,183,427,
422,542,459,005,584,599,826,178,578,042,591,885,492,329,483,171,730,878,628,
909,378,170,729,772,042,217,597,467,679,607,492,324,484,641,159,690,267,285,
070,114,448,726,831,553,793,286,299,786,025,076,544,174,960,837,730,441,834,
245,597,919,416,863,321,511,873,433,268,355,033,717,507,553,613,233,363,319,
532,084,666,400,049,624,614,347,788,793,462,966,691,343,042,037,738,320,521,
475,957,902,708,996,829,172,239,193,607,412,261,065,023,105,825,772,231,199,
922,545,105,324,896,399,376,928,677,059,856,315,828,347,592,007,263,846,570,
769,326,427,417,211,706,163,446,649,090,225,130,547,661,339,862,611,913,155,
181,244,230,317,365,465,648,552,024,158,349,733,220,635,148,837,463,652,972,
625,124,712,586,643,322,315,101,055,763,037,304,632,297,428,556,558,135,137,
559,091,924,977,086,848,734,516,427,700,101,519,309,829,938,943,581,302,889,
292,965,476,152,563,400,457,495,153,325,181,421,902,793,475,336,087,461,917,
926,927,417,234,630,524,806,049,773,046,198,385,729,091,193,575,224,716,139,
768,663,470,813,043,854,772,287,352,464,710,401,630,104,471,204,035,695,169,
732,232,206,968,644,124,337,530,912,584,336,290,994,528,165,049,072,617,672,
773,772,818,790,645,493,713,060,901,990,609,593,694,955,454,490,360,733,243,
061,608,388,119,441,051,440,128,767,165,148,435,385,686,614,752,023,737,960,
574,585,716,396,819,695,960,182,932,255,008,267,160,088,944,595,954,232,369,
708,671,642,844,940,009,510,051,028,583,840,313,522,240,159,746,302,073,415,
178,010,095,454,284,996,949,223,982,462,402,169,474,427,698,416,886,239,879,
429,375,841,897,020,432,294,689,400,477,023,154,082,780,700,107,275,465,341,
039,760,902,591,383,717,838,299,453,906,849,705,010,230,232,244,439,369,829,
797,548,129,045,121,662,507,797,056,658,306,058,306,972,426,949,014,567,938,
218,392,421,405,241,957,091,135,865,867,929,165,862,639,864,259,916,031,363,
890,958,067,333,733,596,288,406,595,927,168,831,712,716,299,897,726,959,928,
208,654,164,301,024,706,658,383,166,811,274,377,834,710,766,833,710,596,342,
102,307,099,192,723,836,286,891,050,237,367,914,435,400,583,281,933,566,857,
523,118,679,097,577,442,452,868,396,554,473,374,189,968,250,457,963,783,063,
409,460,632,424,660,452,206,774,275,998,805,265,116,238,980,831,139,518,452,
316,208,008,379,094,689,883,369,966,734,595,709,135,045,086,999,605,867,982,
761,141,595,411,255,967,200,180,652,084,769,086,172,711,019,560,551,908,650,
027,665,145,039,270,835,624,442,069,546,359,047,345,893,833,149,435,112,125,
852,716,212,118,850,332,761,834,380,414,978,197,591,599,980,428,491,820,369,
156,297,749,614,638,363,047,600,216,436,463,495,858,758,715,065,628,619,121,
744,393,301,175,923,191,285,047,176,762,310,036,235,122,190,780,930,048,153,
815,909,390,917,400,005,023,388,389,265,379,234,815,486,682,385,628,695,711,
724,978,746,608,159,440,926,540,291,572,052,528,393,607,660,060,672,298,276,
931,627,524,819,471,578,969,314,945,926,928,074,778,798,768,013,367,541,572,
466,348,709,006,758,799,574,922,902,261,875,006,753,759,414,577,335,162,700,
345,651,320,662,356,871,595,255,471,476,874,047,331,235,850,152,980,124,214,
926,523,659,125,140,211,689,169,129,399,529,424,375,165,883,148,241,568,880,
741,531,910,426,298,943,263,963,211,472,320,639,797,724,076,452,476,974,587,
150,246,583,453,025,424,740,765,283,927,529,093,644,566,988,533,216,941,241,
236,981,197,152,452,844,108,317,321,263,014,098,744,637,115,840,742,290,536,
266,696,527,894,026,130,002,493,389,935,158,459,078,318,468,315,155,326,101,
010,791,836,211,759,358,292,809,741,890,593,236,131,509,093,635,290,952,939,
609,879,742,424,127,365,378,490,114,010,570,497,425,312,984,573,703,371,290,
653,124,707,793,098,230,459,138,313,411,542,484,177,218,220,305,005,491,951,
502,319,012,745,243,842,272,291,433,902,784,859,258,539,886,738,537,206,620,
950,137,809,386,966,784,391,823,200,969,071,322,584,024,847,742,956,793,409,
580,400,462,384,474,573,196,642,954,342,235,679,203,064,271,997,032,932,448,
241,126,527,736,104,846,028,530,994,442,564,111,408,362,543,752,859,227,747,
313,633,707,452,402,478,456,743,826,080,465,979,431,950,555,210,934,642,116,
170,091,467,728,146,850,662,147,468,512,035,507,485,404,126,650,391,557,757,
216,590,768,809,307,008,559,903,392,181,955,517,478,983,217,504,831,760,580,
453,108,699,977,294,676,800,418,936,499,464,261,310,522,680,572,400,885,030,
221,690,409,983,249,102,750,980,038,725,148,565,655,221,524,943,156,263,046,
665,406,756,598,234,869,266,062,095,767,390,854,400,192,004,338,716,038,765,
931,189,748,413,081,052,283,933,913,582,663,496,663,799,696,369,298,670,702,
581,282,898,492,570,393,178,804,875,249,790,724,053,847,131,210,948,015,640,
778,719,480,442,894,334,607,608,897,167,057,187,211,326,796,731,282,717,220,
759,712,713,391,880,054,226,818,489,659,428,423,076,324,598,873,874,320,329,
121,773,721,256,764,381,308,897,236,278,254,060,109,219,821,841,045,903,902,
667,409,823,047,252,385,489,657,957,790,821,340,103,556,876,997,521,412,656,
862,487,116,847,637,375,976,572,855,116,365,566,259,165,134,052,565,101,419,
663,749,881,706,600,135,958,593,711,406,401,424,140,897,234,198,818,869,461,
999,460,428,392,520,045,851,695,249,113,117,386,275,373,897,674,543,171,455,
574,811,627,703,517,752,437,556,041,313,278,443,712,188,950,565,951,674,764,
904,087,907,870,085,962,451,064,797,648,370,170,011,959,493,281,710,745,387,
782,784,352,485,324,018,797,074,992,950,207,869,858,369,997,545,041,736,460,
546,786,212,816,647,432,138,579,853,869,822,937,901,153,358,940,482,017,062,
419,194,099,533,175,946,208,025,069,561,700,702,923,577,049,058,370,019,311,
176,038,075,002,336,251,198,923,838,179,126,822,884,820,258,930,489,310,485,
368,687,584,589,842,030,328,371,878,584,106,112,690,091,522,976,764,949,421,
317,753,210,340,623,839,351,119,894,165,090,509,045,298,214,433,725,379,743,
484,790,575,886,434,202,238,188,530,071,075,397,903,476,258,727,962,551,073,
038,996,630,003,920,969,232,156,307,651,218,688,030,906,798,650,388,089,285,
498,521,843,450,795,286,545,826,095,694,629,283,184,064,373,057,433,165,935,
533,446,922,474,314,004,367,850,131,926,697,772,870,951,922,706,308,542,424,
453,445,328,366,183,168,510,045,536,297,001,523,162,353,444,099,584,252,549,
866,518,784,000,259,820,358,304,651,569,571,484,310,727,358,277,133,446,980,
670,738,343,804,236,567,233,422,403,219,176,620,722,233,155,884,170,067,882,
380,110,665,966,657,103,887,929,994,362,272,460,035,694,853,693,627,280,323,
284,896,230,494,589,504,938,609,229,290,855,751,605,916,544,561,223,604,144,
926,670,519,869,392,059,014,071,598,108,558,194,905,491,581,963,942,939,761,
842,703,918,939,322,310,672,640,777,313,505,833,495,880,472,415,752,398,194,
045,512,519,239,463,071,507,173,421,362,194,786,870,457,307,742,562,509,767,
407,997,353,072,778,412,556,611,358,164,618,606,850,144,530,394,399,548,051,
902,894,450,132,425,590,938,381,156,774,753,806,283,457,900,388,988,316,656,
643,117,268,958,826,957,634,575,685,538,994,743,183,460,389,201,474,535,044,
459,992,915,723,776,908,870,434,234,090,282,307,725,935,660,114,166,938,606,
017,020,645,402,073,973,064,840,534,223,896,221,730,228,986,810,759,457,241,
388,293,025,558,948,199,796,545,354,346,498,053,269,843,942,814,361,778,584,
243,898,420,382,467,287,613,674,339,264,961,525,578,076,366,200,535,082,350,
621,296,104,726,829,382,575,536,545,415,361,940,870,318,906,765,327,753,696,
260,021,668,268,766,520,229,970,972,667,539,775,093,598,170,125,323,347,029,
082,798,103,697,812,252,412,924,405,797,305,785,706,751,289,799,175,617,566,
707,385,337,839,602,110,734,412,710,290,635,290,930,488,859,479,438,198,919,
764,971,939,565,847,894,070,358,776,867,460,892,555,828,316,994,668,765,276,
467,776,973,771,885,142,685,750,768,166,190,163,550,790,750,887,901,997,934,
788,498,733,263,608,689,150,503,815,460,585,174,283,108,604,408,113,600,931,
433,596,270,379,725,794,594,697,513,101,389,460,948,564,313,214,568,753,670,
253,636,962,606,445,125,793,351,884,307,353,709,795,015,264,839,933,020,251,
293,760,239,345,839,145,645,092,754,403,347,134,707,338,788,063,326,789,298,
539,663,708,032,300,216,633,070,667,560,627,606,806,203,855,633,437,539,634,
020,587,945,499,747,037,641,453,589,943,925,525,576,877,218,235,921,161,844,
783,563,914,149,702,423,150,438,277,056,341,166,435,764,185,841,905,911,245,
310,275,156,560,919,310,348,724,204,504,535,727,466,363,395,536,898,819,838,
681,940,678,488,390,976,983,483,191,934,819,660,014,922,569,502,139,408,131,
889,599,986,462,485,670,774,071,938,332,907,094,086,853,741,067,955,829,002,
444,864,112,847,133,796,387,305,983,557,665,473,037,486,983,827,022,622,364,
074,113,133,946,736,768,596,791,303,640,648,339,849,428,361,114,994,819,881,
812,164,545,133,230,939,528,177,336,780,183,799,844,516,453,789,865,555,631,
756,285,915,470,608,669,823,321,514,929,940,326,589,275,528,696,023,206,292,
837,904,418,615,802,785,886,002,484,591,088,208,789,943,948,106,191,099,572,
881,207,478,761,169,041,785,412,151,344,258,752,062,098,013,100,874,981,418,
084,312,665,311,771,211,454,868,128,303,904,907,184,950,983,416,635,673,123,
671,041,996,930,806,777,791,743,940,993,040,279,555,011,977,883,837,410,360,
188,814,982,247,131,845,265,722,858,593,979,608,903,246,612,536,194,810,180,
539,995,997,387,306,917,856,418,276,769,522,686,984,409,405,762,330,675,514,
931,580,208,831,482,131,682,075,506,564,172,450,156,662,289,563,894,326,157,
916,097,104,865,550,983,605,217,356,177,642,836,105,528,546,194,127,508,675,
539,254,398,925,745,314,883,420,722,077,485,042,500,906,813,867,040,735,089,
366,299,948,612,278,776,539,708,803,025,556,699,093,453,276,294,829,509,499,
016,443,698,340,177,517,768,047,211,240,453,363,749,694,288,579,712,456,182,
285,727,194,394,641,160,311,388,000,617,691,409,703,946,073,614,114,675,988,
605,392,437,067,496,501,247,512,374,186,086,450,786,492,256,568,060,092,294,
840,808,749,969,685,588,311,632,587,575,174,420,123,715,504,625,558,896,516,
013,605,863,452,719,146,476,916,337,032,654,629,318,563,988,922,664,740,123,
760,304,869,974,515,965,491,589,434,909,807,500,267,007,540,746,687,197,522,
107,519,237,715,735,842,236,046,805,486,421,989,903,421,380,664,572,177,160,
390,119,729,449,593,189,206,203,777,237,353,868,982,083,411,754,518,308,068,
613,499,906,946,486,363,919,099,602,538,975,135,933,017,610,380,608,193,345,
219,315,251,923,261,924,598,528,496,565,489,878,459,855,075,219,429,936,172,
600,653,666,721,279,018,316,551,395,267,167,159,557,382,229,395,169,332,914,
240,706,932,210,280,375,357,729,327,170,870,489,232,135,735,846,229,196,017,
113,686,398,100,358,483,979,972,452,069,644,069,133,161,591,286,211,120,537,
452,714,811,096,731,722,724,845,702,313,901,149,170,803,865,203,373,743,487,
362,363,091,633,280,949,316,381,737,964,292,027,131,430,925,904,714,352,003,
062,170,850,299,563,090,671,066,474,841,396,151,282,972,808,727,322,837,709,
316,694,068,396,124,087,927,271,502,384,874,157,765,957,530,571,524,216,432,
175,329,765,035,078,140,816,401,875,800,698,205,068,765,406,399,954,987,014,
626,358,554,004,778,892,132,943,564,358,268,108,904,543,651,832,568,425,195,
732,102,431,604,719,334,224,641,542,379,558,438,344,048,868,710,179,827,948,
450,880,334,429,499,124,706,365,111,716,411,415,169,838,534,534,911,247,729,
609,313,324,557,569,166,086,148,992,701,442,279,138,203,318,807,979,099,239,
857,007,022,897,545,441,571,191,275,355,749,820,482,305,020,685,531,612,737,
129,376,571,054,085,141,264,673,862,833,626,097,107,189,306,570,259,507,960,
961,790,869,209,905,033,762,669,812,617,085,461,183,432,175,163,914,516,054,
726,090,379,700,138,022,398,478,095,621,435,505,262,154,115,073,125,733,643,
744,277,784,045,453,160,195,908,056,191,662,390,963,557,166,683,612,240,801,
409,764,602,393,474,465,451,771,576,678,138,198,872,102,044,951,475,811,070,
573,612,250,987,541,232,923,849,382,201,496,612,266,968,596,507,820,303,514,
259,030,236,049,681,034,947,205,465,797,339,476,888,354,000,476,438,289,029,
032,288,599,558,835,447,522,328,194,441,571,609,305,885,021,653,637,453,035,
230,345,264,977,855,922,631,459,035,275,147,061,584,273,833,511,976,037,573,
889,358,803,595,885,757,496,816,962,655,631,588,323,251,740,881,911,735,526,
257,856,620,876,964,419,895,845,121,782,676,602,150,379,140,081,343,863,017,
532,389,025,467,107,563,426,953,796,625,032,744,183,705,318,819,478,763,257,
643,023,097,303,755,923,064,300,361,462,453,185,842,423,324,583,901,959,778,
925,928,499,164,147,912,972,397,723,215,007,056,021,734,501,912,270,363,636,
669,514,278,314,585,601,654,843,858,279,005,793,483,170,749,480,672,483,366,
157,947,104,284,344,929,537,200,811,334,461,397,055,584,318,582,238,284,339,
677,163,211,437,359,444,856,222,347,485,313,229,540,801,240,586,322,701,412,
314,893,883,619,089,538,878,636,258,065,727,543,331,807,318,643,679,436,685,
137,910,448,007,671,146,332,796,501,111,724,951,982,067,562,430,252,456,266,
236,855,997,217,244,285,612,421,036,695,333,475,001,678,382,196,695,952,690,
328,718,881,873,106,106,079,000,775,629,338,561,600,077,682,946,898,381,399,
141,991,669,341,772,286,338,646,027,273,993,479,416,466,174,554,891,881,439,
610,104,563,498,658,019,770,171,366,757,530,017,725,984,863,071,170,494,216,
391,525,690,873,272,330,691,131,227,870,656,851,226,805,158,425,623,730,817,
625,568,587,218,626,801,641,321,422,050,831,100,786,874,336,578,461,510,110,
178,382,387,191,618,364,843,290,189,933,611,138,555,350,699,526,272,435,376,
544,019,670,942,472,139,228,417,488,420,291,981,687,866,340,492,466,660,617,
589,068,730,569,247,783,605,426,540,963,038,991,835,783,194,990,698,997,873,
323,047,086,150,896,874,779,062,440,041,253,104,115,232,680,401,258,463,022,
994,171,393,590,981,228,105,307,429,216,573,747,477,881,818,615,286,513,924,
440,699,339,714,072,977,266,836,887,434,385,170,093,791,769,473,997,090,962,
558,432,929,019,629,788,821,509,352,062,594,941,433,028,962,316,834,239,869,
750,249,330,022,781,049,011,365,483,634,082,898,995,667,669,241,325,782,884,
110,790,272,343,530,011,010,534,408,983,694,575,888,415,265,335,337,734,148,
560,879,978,618,455,371,238,767,970,988,978,600,614,257,335,974,991,183,372,
162,764,282,228,333,833,557,232,416,097,924,916,959,519,395,437,271,240,657,
181,206,889,887,641,596,364,293,003,186,021,679,290,583,143,560,986,668,814,
912,896,101,509,713,112,582,137,662,490,667,932,242,203,477,386,185,670,433,
086,186,493,050,345,840,986,686,157,141,393,319,847,934,533,061,248,332,959,
147,310,750,244,410,632,436,434,382,986,785,045,484,704,045,939,197,548,758,
682,599,562,806,259,483,482,399,230,552,748,849,100,359,836,170,726,047,163,
141,268,436,127,726,267,432,155,479,890,142,958,369,128,938,870,531,182,752,
774,814,338,834,403,372,030,818,486,021,203,210,285,449,834,034,461,530,009,
477,713,962,968,855,487,246,895,477,873,129,211,768,059,596,240,406,154,894,
716,736,487,060,883,619,128,221,203,254,130,849,992,371,326,172,848,843,943,
840,690,220,312,421,243,983,400,713,509,846,457,761,722,808,048,110,604,873,
229,970,592,550,064,843,783,034,781,605,976,996,894,742,843,000,074,910,905,
409,614,452,393,074,794,036,770,703,750,456,966,160,802,296,227,612,440,085,
355,226,209,101,806,722,849,992,498,525,808,018,106,879,438,194,720,522,259,
584,543,418,777,686,095,550,918,221,576,677,657,279,216,705,480,502,993,059,
904,195,909,507,640,530,076,109,590,584,659,989,294,957,222,463,671,404,635,
956,318,312,645,953,299,933,879,915,578,372,633,229,110,146,523,693,997,699,
389,047,543,577,553,802,720,550,900,918,198,612,423,778,208,863,530,958,835,
143,606,214,052,393,529,058,932,796,032,581,215,267,236,483,943,549,479,373,
844,038,267,578,926,827,448,190,891,098,309,929,039,859,974,125,091,345,430,
063,170,747,232,016,851,916,461,981,911,032,586,749,037,608,539,073,089,260,
693,196,055,819,107,784,739,554,722,958,943,626,069,469,447,556,163,249,651,
396,022,869,761,373,626,723,684,366,964,346,160,024,285,248,180,479,766,615,
200,184,136,229,785,900,108,076,704,724,194,680,340,307,419,404,353,558,327,
376,751,283,021,389,523,776,323,287,708,826,555,108,874,606,711,156,214,324,
844,437,182,183,987,765,652,169,350,513,480,119,131,312,587,206,012,746,000,
512,667,633,251,563,898,001,096,118,417,274,482,606,558,766,592,383,691,374,
671,254,394,048,093,173,247,199,124,268,109,868,316,124,165,129,630,622,215,
742,924,221,262,199,767,266,663,997,151,313,788,500,210,265,846,099,249,455,
381,301,045,732,679,969,315,238,439,361,081,213,590,399,701,417,674,964,566,
364,799,083,740,143,334,130,883,659,161,877,864,353,516,302,016,591,803,464,
002,495,057,932,416,794,775,878,565,645,566,493,790,812,640,048,046,170,012,
355,518,316,044,691,713,589,186,318,052,281,822,336,421,450,141,456,896,549,
908,012,140,146,592,412,462,297,801,654,804,309,144,553,636,235,047,322,719,
904,187,855,381,886,869,686,595,838,379,833,265,767,141,551,327,677,142,505,
084,424,983,776,922,403,146,809,298,188,877,594,417,720,139,662,856,906,804,
194,260,556,426,899,928,496,164,262,622,356,579,051,803,392,811,344,983,619,
274,233,915,880,951,192,538,917,154,780,287,868,541,764,046,335,814,846,682,
855,128,910,562,421,570,009,873,270,170,959,853,051,023,981,706,116,400,564,
831,285,334,834,913,212,044,783,583,590,390,517,593,966,670,332,522,787,106,
493,473,507,869,564,180,103,551,625,366,745,133,994,185,732,153,570,536,677,
727,716,576,242,333,937,466,830,042,548,697,434,277,384,206,178,769,019,610,
383,719,350,884,142,538,234,251,579,178,316,880,995,151,552,887,032,315,958,
296,838,274,174,330,551,617,850,976,351,198,314,287,425,053,692,987,054,348,
150,850,114,455,257,958,651,702,097,131,989,361,589,143,830,233,050,436,062,
628,012,672,382,283,158,604,474,221,057,664,507,172,328,188,118,955,624,567,
502,300,785,046,681,237,271,766,682,735,596,969,703,381,611,442,738,598,578,
820,344,658,748,151,543,512,162,707,388,692,750,184,991,857,425,965,426,983,
431,202,505,587,662,903,160,379,767,106,079,483,229,979,521,932,265,351,976,
269,689,570,190,977,919,888,443,902,194,199,181,141,383,918,250,681,187,160,
393,882,351,640,980,726,243,703,767,081,314,328,203,293,309,144,495,409,812,
645,835,214,634,899,558,458,859,374,977,445,722,036,548,677,819,346,516,894,
456,190,802,822,789,431,573,188,499,171,072,742,088,041,741,752,553,496,096,
815,259,966,563,714,583,799,563,205,050,091,816,293,666,098,693,646,788,853,
039,667,966,662,483,686,636,265,178,433,379,082,907,145,833,342,302,303,398,
395,364,655,446,591,761,735,640,028,977,006,923,557,797,808,402,389,577,572,
753,671,201,534,680,013,987,287,390,863,678,966,210,426,631,998,997,601,977,
654,491,419,234,876,106,188,005,579,285,803,724,604,457,339,338,576,505,550,
812,981,098,690,327,020,745,528,290,902,017,341,980,158,256,044,044,136,349,
124,492,270,990,536,074,279,151,406,167,997,455,218,125,719,107,121,554,744,
765,490,006,915,181,314,593,341,700,093,607,745,878,808,587,361,689,927,896,
797,617,575,991,017,778,344,275,628,471,460,391,107,480,456,302,260,986,243,
551,268,009,328,950,921,231,304,480,367,847,497,841,524,012,667,608,010,448,
634,242,857,140,289,880,885,546,879,079,875,628,951,497,779,432,323,024,610,
698,285,837,825,327,006,058,572,316,609,079,849,134,416,917,639,850,645,031,
550,850,288,502,812,369,262,736,380,234,325,880,792,233,861,540,837,780,779,
998,003,366,845,790,382,270,024,379,278,001,253,474,447,295,929,787,389,133,
559,159,614,122,730,868,717,319,222,015,773,349,703,369,581,997,884,590,449,
884,236,635,677,276,565,884,166,904,945,894,267,047,849,187,231,913,877,163,
538,244,081,070,722,515,834,374,117,676,735,989,687,077,676,748,004,114,317,
566,004,156,756,988,975,728,928,280,772,152,438,707,362,389,951,953,894,034,
206,690,763,497,045,401,519,160,863,260,745,442,183,890,658,523,956,434,024,
542,405,181,834,123,439,708,520,707,218,430,971,036,080,593,300,635,596,499,
852,680,921,754,744,695,379,340,125,150,166,493,783,579,679,882,385,800,951,
963,650,126,480,779,647,609,847,851,464,278,458,080,623,045,779,794,234,121,
235,903,687,338,377,602,305,713,065,572,683,102,220,760,294,018,823,461,669,
433,535,418,783,936,616,448,200,310,967,560,914,512,544,003,300,698,183,905,
180,613,870,118,170,038,404,586,400,245,566,958,852,025,932,647,117,359,546,
755,279,170,455,020,166,575,508,285,380,281,837,129,102,834,205,119,223,631,
412,497,548,362,090,693,487,561,214,405,177,235,990,005,530,307,739,853,588,
102,679,705,857,719,096,307,794,771,151,931,807,616,717,829,927,302,945,551,
471,947,562,448,928,086,307,987,387,652,815,615,424,468,238,025,499,022,026,
560,944,531,756,011,779,500,817,036,439,099,444,220,661,496,260,265,848,239,
161,226,511,172,193,420,365,617,369,500,319,794,721,297,051,670,088,521,641,
274,209,522,920,114,103,052,047,809,306,609,708,950,014,145,659,051,318,094,
468,742,181,623,765,148,405,415,061,008,162,962,222,338,721,809,211,170,006,
891,682,986,048,556,160,094,635,881,516,495,535,894,382,497,162,849,100,032,
207,461,763,016,356,252,614,975,648,779,691,610,459,121,497,878,464,589,948,
757,381,484,792,556,175,368,399,132,366,105,237,829,764,701,854,590,223,082,
199,883,849,880,169,406,654,662,608,702,087,840,499,154,771,422,684,987,918,
545,904,818,501,844,674,454,775,377,319,366,207,400,577,239,784,317,776,825,
346,437,463,371,475,794,024,084,631,547,319,344,290,550,228,977,719,850,065,
366,240,912,259,159,610,383,843,618,172,508,603,062,366,179,892,709,060,757,
299,314,949,516,289,876,780,520,713,278,153,844,877,711,749,959,759,244,895,
383,769,760,860,558,987,334,709,074,436,155,266,813,063,695,606,033,735,135,
853,349,698,541,228,527,805,351,514,764,965,965,186,989,380,607,969,492,100,
074,101,400,637,055,944,290,837,395,054,266,162,675,946,972,448,660,380,302,
773,639,827,247,040,758,497,075,229,021,867,532,469,422,792,030,195,977,044,
463,947,674,103,494,397,168,711,211,623,210,298,311,032,283,333,121,941,114,
297,006,125,827,904,459,959,032,586,844,748,454,153,678,331,239,061,909,660,
663,000,510,319,312,129,055,795,518,787,365,172,507,363,684,527,168,444,997,
309,449,897,276,180,565,369,655,937,320,316,525,279,546,546,488,754,702,425,
630,256,331,870,270,289,395,290,039,228,633,148,005,167,065,874,625,277,307,
098,865,392,152,336,692,338,535,561,818,596,497,512,404,086,212,284,321,804,
965,162,324,296,017,021,190,832,991,258,231,770,472,857,645,893,883,511,953,
396,123,217,550,196,750,557,663,430,655,799,250,783,929,860,746,546,162,434,
149,769,364,492,242,495,433,764,585,714,708,079,856,018,697,855,576,478,450,
630,887,985,424,309,704,694,520,767,421,805,801,082,050,581,008,362,632,326,
420,650,171,280,259,956,628,708,863,871,116,319,792,254,809,943,279,243,751,
928,489,149,639,931,702,953,428,384,265,363,122,978,344,552,278,408,542,388,
155,832,043,254,971,963,288,420,621,082,994,189,217,917,867,229,171,770,374,
260,175,394,446,771,257,124,800,071,883,404,521,224,090,678,834,624,440,492,
186,962,010,055,913,532,602,723,380,623,270,419,627,163,741,391,561,366,133,
963,494,924,422,428,736,215,955,577,239,122,954,934,196,423,556,357,081,284,
222,560,414,432,902,072,525,115,626,519,634,300,546,139,305,861,636,273,941,
093,708,538,643,626,171,528,002,536,601,244,187,851,188,533,175,037,889,490,
337,226,585,233,212,128,921,678,299,692,173,543,033,065,185,239,841,421,880,
199,329,152,646,289,168,303,089,363,507,656,230,383,693,241,263,027,821,972,
813,948,761,176,079,567,742,530,615,393,225,547,759,577,486,652,301,560,791,
282,968,633,788,128,762,667,913,887,249,949,192,221,669,783,437,590,032,686,
637,862,638,750,840,289,125,044,543,656,994,959,487,259,681,656,809,944,929,
677,044,238,110,311,429,292,319,200,577,778,283,982,455,192,456,883,203,850,
632,413,431,347,980,034,658,479,235,178,814,338,142,364,798,660,064,667,524,
404,484,211,568,009,475,917,305,707,621,672,816,084,185,620,593,069,918,534,
339,941,524,455,911,114,519,017,400,124,493,472,961,365,416,457,322,815,863,
262,011,370,469,227,998,077,606,541,883,416,042,209,407,794,756,757,909,286,
755,567,343,900,282,209,330,020,405,939,450,976,494,435,194,356,983,424,136,
778,927,831,895,496,855,214,291,666,178,631,725,968,013,043,956,922,735,775,
414,834,875,405,146,077,889,911,417,915,470,459,299,287,088,171,265,672,166,
627,298,244,161,018,825,066,440,247,468,248,675,176,220,953,027,416,096,396,
152,050,036,619,985,289,818,017,313,801,303,473,788,806,546,214,330,818,923,
413,086,577,748,970,768,152,474,676,813,120,726,813,827,726,744,715,834,153,
155,228,803,448,250,234,762,262,865,452,175,473,617,216,483,190,746,578,853,
534,044,464,069,990,494,100,864,537,703,925,010,241,709,429,838,928,396,258,
960,290,949,975,549,927,828,466,733,539,195,152,472,302,515,355,711,486,996,
675,430,745,423,448,725,821,690,526,288,727,296,950,809,128,319,484,569,288,
404,488,673,459,745,722,554,217,686,748,327,765,463,236,896,955,374,812,551,
955,260,774,671,831,338,327,260,200,179,505,437,053,937,146,665,533,173,154,
440,628,549,469,164,205,792,815,410,322,464,990,973,154,961,462,090,525,695,
280,138,377,891,253,617,431,603,915,094,543,879,894,289,277,131,735,133,145,
315,926,930,602,941,718,679,400,160,601,328,597,844,863,838,065,111,639,967,
028,885,880,719,380,523,849,712,055,273,024,141,182,886,787,250,583,558,508,
185,076,361,000,728,268,760,009,413,839,515,780,813,517,318,297,219,672,143,
615,460,530,813,829,490,575,488,195,125,999,559,125,948,215,036,361,536,762,
089,287,309,271,628,555,649,293,527,538,909,738,424,038,499,537,279,980,261,
943,540,432,880,311,681,349,678,185,629,381,915,644,692,936,305,200,987,060,
648,611,764,188,783,206,960,555,785,213,671,399,015,957,494,165,314,170,712,
428,170,259,707,436,497,075,527,751,944,079,479,272,071,664,477,304,433,060,
500,532,662,022,863,780,438,036,473,094,851,860,013,490,413,970,312,365,065,
374,290,103,664,936,246,028,604,604,813,705,432,777,531,997,116,346,063,092,
178,803,336,967,475,700,354,215,524,135,256,938,679,274,937,790,262,461,692,
971,450,465,801,798,889,224,417,556,972,999,805,622,011,745,204,940,754,253,
308,684,299,356,568,814,270,168,602,607,880,181,572,053,789,683,456,024,355,
172,482,653,119,818,366,938,933,014,526,313,503,703,937,149,367,561,802,202,
179,525,574,207,999,724,140,473,646,177,083,509,430,476,172,070,921,618,760,
312,123,696,692,012,941,218,668,673,344,288,609,936,416,791,168,944,716,745,
024,981,899,788,994,634,468,605,013,126,088,780,161,486,507,645,961,991,594,
956,920,488,844,509,268,048,012,398,185,258,936,391,171,483,894,589,545,245,
163,288,968,663,512,205,289,888,600,433,559,212,803,130,434,310,029,607,910,
983,147,803,465,437,827,926,302,606,116,168,518,306,982,730,756,794,201,471,
614,625,817,130,280,257,660,179,363,464,295,301,103,343,015,014,286,804,697,
591,696,710,906,917,587,992,904,750,345,743,510,746,234,113,813,070,557,973,
297,280,920,197,357,705,666,853,081,870,925,184,210,217,951,866,148,066,193,
408,235,166,927,999,129,876,745,298,583,747,886,685,960,793,787,246,994,231,
119,653,857,153,546,474,109,974,641,049,010,187,549,893,342,339,143,618,992,
255,688,271,346,083,781,044,418,499,709,775,169,448,536,749,736,254,417,040,
022,018,441,569,893,745,119,123,807,262,767,873,044,193,293,084,092,109,687,
214,213,744,925,387,377,770,781,270,666,669,690,205,499,617,750,295,703,437,
231,607,999,819,260,060,979,995,173,065,278,739,166,328,553,193,419,798,070,
576,963,888,125,711,717,062,654,595,088,219,125,641,363,043,480,690,011,615,
613,793,751,800,965,556,931,443,699,825,967,882,238,855,108,446,372,262,089,
794,781,515,902,453,414,682,065,126,948,088,172,271,975,215,449,070,756,624,
907,069,767,847,166,814,280,767,562,794,612,847,493,099,848,230,380,176,577,
814,225,039,664,901,961,280,251,386,643,146,846,294,797,792,378,123,105,010,
454,995,304,720,775,581,050,670,865,150,526,749,391,018,426,483,878,856,472,
425,980,545,656,507,619,568,495,446,897,689,675,475,330,760,675,398,737,508,
607,812,532,238,892,106,328,955,304,294,280,667,779,193,619,950,539,963,183,
792,532,589,036,322,443,042,707,613,116,349,976,318,146,688,715,040,322,743,
837,836,943,910,983,811,003,114,905,397,210,518,674,379,697,496,602,995,152,
711,306,320,508,462,124,230,914,284,074,544,303,334,071,758,529,864,167,452,
228,053,665,061,482,804,671,006,052,498,762,512,801,376,602,145,483,144,768,
532,142,317,442,730,218,144,456,035,970,870,019,463,474,951,395,112,972,150,
624,136,519,685,151,784,097,502,864,754,360,747,761,430,910,272,150,947,220,
881,268,194,216,822,449,840,256,095,099,552,694,270,651,344,204,128,010,665,
061,221,798,536,614,710,006,469,266,968,570,717,893,976,955,522,695,670,655,
274,395,674,630,204,694,899,249,528,314,728,563,542,955,492,574,168,694,252,
840,088,191,146,485,804,737,572,067,736,594,422,621,987,849,170,413,562,972,
823,215,010,550,807,407,089,963,315,750,609,439,781,952,612,621,445,406,277,
072,321,397,689,156,805,000,387,827,120,980,605,939,935,341,832,676,586,975,
448,160,053,656,114,700,965,468,688,002,582,826,679,040,217,833,340,221,110,
669,879,320,757,641,874,273,040,357,986,714,447,958,431,124,848,679,984,399,
198,941,591,575,116,057,921,624,567,146,238,428,233,648,829,957,401,418,223,
476,575,293,867,012,820,961,656,746,007,320,403,677,808,678,635,188,114,823,
012,893,728,048,851,339,049,333,959,922,512,438,848,242,092,780,453,712,781,
314,200,667,440,179,959,661,559,142,893,358,813,138,499,458,088,325,997,328,
244,645,913,806,949,908,337,556,726,744,452,395,940,259,560,814,012,587,701,
757,945,846,633,297,459,258,655,254,311,802,757,644,162,414,379,583,012,481,
809,388,647,800,342,148,708,846,715,080,838,735,715,059,714,622,389,997,824,
535,031,292,566,952,386,867,466,339,444,732,566,750,146,375,778,370,655,617,
256,734,304,394,199,239,296,624,900,229,100,175,886,337,022,034,003,208,918,
520,669,263,965,228,604,402,460,799,285,694,217,212,510,436,453,384,807,378,
523,563,874,958,733,751,820,229,662,933,506,238,116,518,372,354,236,315,461,
540,458,002,760,884,209,083,745,237,087,603,781,450,732,728,255,896,079,319,
556,927,179,740,668,642,114,521,288,340,280,509,187,947,725,520,779,987,685,
416,102,189,735,800,311,969,864,139,293,581,194,448,936,422,011,324,762,240,
972,915,887,914,700,090,693,156,440,205,169,976,689,935,808,499,058,779,603,
832,959,988,912,682,886,899,109,940,853,276,618,995,010,199,079,689,870,899,
232,780,616,605,647,466,726,409,196,376,739,491,976,567,449,510,030,347,092,
254,417,785,117,176,638,609,390,025,047,434,610,535,051,530,979,340,879,448,
991,733,934,709,860,071,423,438,563,928,502,331,505,221,687,408,328,927,657,
925,398,618,483,253,953,489,110,483,141,800,895,367,455,918,662,521,959,192,
115,167,530,700,232,467,553,222,890,689,072,856,976,216,188,970,317,456,695,
254,948,112,214,422,220,750,493,193,710,854,564,986,532,099,316,133,296,342,
092,253,190,259,464,508,849,523,515,601,133,423,659,291,104,313,073,224,930,
389,014,760,531,040,046,488,911,454,710,093,203,832,818,149,954,670,878,575,
265,700,602,789,335,618,598,306,654,595,819,314,622,794,386,679,330,152,319,
718,033,506,553,991,708,402,342,299,708,950,830,606,023,869,584,352,297,909,
127,017,375,569,062,280,243,918,115,923,477,096,136,700,030,716,714,259,674,
001,243,658,989,065,616,413,994,274,101,616,871,127,025,913,556,930,215,741,
201,746,644,852,377,264,614,178,798,603,198,240,148,671,733,567,364,345,427,
701,290,328,068,518,774,327,766,938,589,234,614,619,152,315,528,742,668,641,
557,602,318,152,697,426,314,575,234,806,821,808,779,590,153,688,989,954,553,
386,827,538,111,091,788,307,508,188,810,033,150,946,652,377,828,351,042,150,
248,039,766,986,206,552,493,461,870,933,409,200,869,350,674,295,343,423,058,
189,888,383,716,526,238,361,058,112,543,038,629,281,507,198,534,344,214,849,
453,140,434,262,830,738,701,285,092,191,419,356,153,927,529,462,388,072,491,
115,557,868,882,863,769,309,836,719,198,576,146,739,244,018,826,775,813,607,
135,519,041,229,545,340,413,944,999,370,434,327,618,803,995,471,633,839,973,
515,138,085,985,782,407,806,185,857,619,564,069,596,563,244,809,081,436,070,
149,196,471,533,288,248,807,353,522,803,055,905,861,426,255,384,114,334,127,
574,776,792,483,183,037,910,078,118,035,048,102,017,037,932,774,023,272,450,
022,648,820,726,753,180,427,128,632,281,180,107,161,809,023,457,763,989,305,
025,010,477,029,972,637,573,006,404,500,159,322,122,021,164,022,427,757,476,
561,846,850,344,533,272,057,502,650,677,179,008,516,966,080,475,096,303,531,
044,153,345,262,854,777,852,738,908,610,281,113,530,501,699,021,563,744,323,
015,847,558,288,715,891,058,684,122,938,243,320,666,869,359,947,508,203,047,
535,354,027,719,571,946,132,937,504,839,385,052,153,532,637,809,073,920,248,
602,609,866,557,517,848,497,696,011,518,851,426,551,446,308,979,556,326,319,
291,497,082,862,428,326,315,402,880,852,485,602,687,477,829,532,876,274,703,
435,645,938,300,830,669,744,202,416,386,786,330,434,780,368,632,173,513,971,
268,376,197,070,181,147,390,825,923,081,809,760,756,002,605,845,299,144,283,
967,442,144,068,432,533,762,160,370,450,320,577,453,091,111,389,632,809,747,
204,641,149,380,669,603,644,381,658,982,465,494,905,707,563,329,297,107,592,
116,110,959,828,970,719,530,616,651,027,500,292,797,600,084,250,702,937,523,
349,853,388,856,403,536,484,224,329,248,636,069,783,680,533,810,689,039,032,
731,684,232,466,604,779,940,939,653,011,380,748,278,167,164,199,806,416,710,
928,119,972,963,715,714,558,027,893,214,382,257,257,738,988,773,720,643,571,
889,868,645,116,616,916,610,710,177,799,244,797,169,612,056,617,734,281,646,
233,115,918,938,302,810,587,805,131,161,062,839,992,067,247,224,335,653,236,
724,923,321,674,962,054,066,507,282,024,078,561,346,409,599,132,541,163,215,
910,314,455,954,062,385,121,963,711,998,007,674,713,987,718,180,073,696,181,
962,287,229,417,538,672,478,271,943,920,839,768,055,054,760,420,717,741,252,
309,975,372,994,038,182,521,143,281,804,508,814,488,721,009,298,827,212,569,
573,996,741,272,993,215,347,347,029,421,366,101,773,983,331,613,531,644,560,
027,118,923,511,100,118,586,658,913,652,305,422,512,454,679,795,298,948,593,
084,904,156,625,810,123,777,298,708,086,699,960,929,507,574,922,783,314,745,
854,064,484,531,441,198,486,875,950,899,996,202,720,935,658,751,969,438,657,
858,800,129,556,360,531,684,230,281,465,841,412,009,209,683,377,171,674,154,
631,506,268,769,037,376,765,815,379,628,128,764,818,968,770,452,368,765,793,
304,708,473,326,636,244,939,872,285,928,875,433,123,406,019,538,607,705,658,
679,072,710,919,736,259,948,594,961,597,418,652,321,368,309,178,691,857,414,
504,876,161,732,800,073,958,351,049,445,815,401,870,247,300,814,703,830,235,
034,138,684,613,801,182,111,025,504,833,477,543,140,355,429,134,268,836,536,
753,361,158,588,825,160,332,900,724,769,769,454,870,641,803,791,784,451,756,
860,977,108,676,556,447,500,547,050,757,768,314,922,596,170,771,719,255,401,
020,701,030,782,084,980,251,555,623,692,361,348,195,321,531,170,026,367,230,
901,931,497,993,319,783,858,427,577,187,862,011,041,089,013,749,444,901,385,
459,836,987,996,702,513,798,571,890,570,713,844,690,103,972,783,022,046,358,
798,707,686,384,829,125,238,654,135,579,605,355,540,877,140,822,390,956,140,
179,553,065,982,025,306,589,830,066,122,302,808,169,297,204,767,773,007,682,
411,196,132,338,512,589,633,849,698,170,069,177,243,252,008,391,828,148,509,
494,139,271,847,821,740,206,760,872,362,702,296,485,127,426,879,974,044,281,
634,234,557,497,179,794,555,788,217,240,362,532,036,919,143,519,235,697,211,
486,223,811,675,301,548,012,148,569,054,290,683,812,022,324,247,739,675,222,
059,798,545,320,289,505,584,033,954,262,710,184,376,261,398,191,792,290,832,
273,600,116,779,298,542,057,652,895,941,050,568,246,590,162,241,487,002,277,
035,685,505,255,520,720,339,715,527,624,694,892,681,208,394,236,964,321,175,
219,861,344,094,407,472,512,606,326,446,995,565,899,433,154,688,390,037,134,
012,633,633,058,346,166,233,878,634,477,127,313,470,005,493,500,780,437,497,
281,584,131,403,893,429,244,676,981,132,214,920,710,769,918,471,159,752,590,
869,839,733,572,849,005,641,473,379,475,914,964,937,904,801,079,001,128,400,
560,399,164,245,698,239,206,702,001,277,890,674,356,727,616,936,255,272,958,
989,965,877,131,777,517,980,630,895,273,224,450,236,605,063,979,692,298,828,
543,487,603,979,066,719,240,315,171,864,005,276,106,131,928,999,477,119,907,
277,344,084,778,237,072,704,583,210,461,450,135,069,033,893,214,325,199,805,
922,388,659,329,541,794,117,607,152,829,132,566,481,209,251,944,407,634,547,
010,574,702,658,619,374,670,693,577,845,031,680,931,224,180,751,583,963,040,
935,899,305,733,712,202,183,776,621,386,708,020,434,297,553,425,814,237,252,
710,390,679,338,678,927,448,618,525,903,377,038,413,376,400,468,226,273,769,
349,902,037,382,651,823,901,132,821,719,939,985,835,882,731,029,077,135,580,
674,286,357,206,686,700,506,068,937,794,748,094,665,023,176,365,389,775,507,
692,250,587,442,406,524,858,242,743,295,230,396,657,732,132,377,617,786,117,
466,851,483,252,324,985,862,497,624,024,464,751,188,222,752,617,492,368,721,
642,125,081,096,061,578,518,780,576,182,615,740,596,066,529,279,824,735,341,
995,292,480,731,206,195,393,125,316,024,305,890,133,031,302,730,751,226,553,
241,534,272,943,355,477,436,605,011,700,372,366,619,997,261,716,599,027,757,
857,836,941,689,634,649,526,620,328,586,206,246,347,397,755,346,980,503,857,
328,066,087,194,512,047,662,478,589,668,190,545,859,113,023,801,071,236,146,
942,055,852,669,996,992,895,123,408,101,410,183,959,976,049,743,538,790,482,
561,131,137,639,323,998,338,642,515,781,687,565,344,925,001,809,960,971,609,
117,532,358,264,805,374,334,213,619,045,908,147,548,164,062,718,948,035,608,
360,620,308,877,826,386,293,231,445,777,050,918,608,887,805,673,627,353,570,
255,463,039,163,184,550,576,305,982,314,458,279,600,444,718,106,617,206,152,
435,195,180,353,014,770,618,621,019,766,408,810,410,494,603,790,608,564,854,
050,406,774,380,479,732,628,375,284,612,330,455,573,528,994,681,824,889,756,
764,141,051,593,163,900,925,237,442,342,410,716,384,738,021,033,801,967,526,
499,721,305,966,190,952,356,529,122,066,830,607,659,652,025,159,729,572,233,
974,419,442,332,393,547,158,625,104,297,814,326,090,166,259,318,185,210,244,
605,936,034,120,774,807,934,945,897,634,775,857,497,635,573,164,854,614,430,
703,811,434,549,275,601,501,621,580,744,715,338,055,857,225,629,919,087,448,
783,839,254,585,981,871,006,704,905,218,378,764,701,874,418,745,947,189,587,
241,455,636,284,696,916,597,604,948,218,772,666,297,477,304,060,604,699,571,
090,012,545,681,498,752,456,799,726,374,519,604,312,534,011,089,127,293,700,
561,623,261,371,805,713,789,091,035,246,358,057,914,138,500,018,635,516,778,
338,514,536,442,924,159,953,238,223,839,128,032,380,165,373,008,262,219,849,
134,201,425,283,811,146,353,369,512,400,855,907,561,826,215,921,243,499,242,
512,108,462,086,014,766,942,939,028,268,411,309,820,210,085,724,696,897,689,
749,544,295,184,471,649,160,638,315,826,465,396,523,582,173,308,601,114,730,
888,731,667,771,347,152,942,327,880,328,770,372,998,815,292,964,990,740,158,
274,394,272,268,953,457,317,304,957,877,622,876,949,127,636,015,935,503,485,
717,884,436,715,470,081,660,958,420,316,487,657,086,532,243,945,400,112,572,
286,895,519,192,486,063,840,185,462,712,380,846,447,827,710,968,989,871,296,
981,000,138,738,418,910,031,156,330,789,020,606,750,817,189,009,068,197,914,
679,794,920,061,796,212,668,927,611,936,980,389,442,713,572,133,491,399,787,
222,267,796,083,351,569,444,393,388,834,952,328,340,014,250,591,083,968,461,
838,399,022,511,712,079,603,799,097,832,967,212,309,854,435,217,934,883,810,
075,846,829,349,385,179,909,391,633,010,270,399,469,907,399,603,157,473,088,
220,195,299,864,820,976,603,058,550,718,697,921,089,363,647,737,724,303,581,
806,902,876,177,141,542,870,051,437,844,337,977,258,719,616,755,793,309,544,
087,391,955,676,409,975,271,521,284,452,694,101,788,838,988,112,579,703,314,
974,314,803,549,873,009,950,945,593,369,150,610,627,308,077,067,416,577,771,
756,441,782,500,294,873,131,006,111,958,122,425,159,249,414,640,580,081,291,
820,927,135,960,782,383,584,669,375,349,712,222,445,365,179,001,819,565,610,
422,267,098,867,013,816,677,506,595,607,503,620,613,279,967,626,399,984,173,
525,596,393,053,990,122,574,921,035,246,255,604,553,792,316,773,504,711,427,
848,411,593,778,575,721,334,875,904,124,259,157,952,495,229,261,459,702,813,
555,126,989,682,440,025,887,911,954,445,984,411,550,611,605,966,355,657,444,
009,566,933,629,495,078,239,351,966,026,292,246,430,326,691,663,298,583,931,
132,486,406,736,470,549,354,385,942,394,814,258,842,078,541,943,397,771,603,
181,277,314,085,232,227,316,880,416,877,512,515,207,855,052,090,911,348,636,
020,926,240,427,650,130,999,805,617,060,962,946,435,469,252,320,147,807,714,
399,869,193,061,488,149,112,414,811,753,806,449,922,276,062,877,547,702,828,
479,535,043,174,236,401,753,868,638,882,934,066,076,110,286,956,616,997,746,
630,737,991,634,038,331,336,516,104,459,471,765,160,658,597,879,124,615,038,
016,566,883,289,369,497,254,820,919,050,037,068,970,314,285,373,650,065,791,
672,327,873,969,762,867,883,040,963,004,905,445,958,925,117,470,750,089,522,
232,646,771,896,321,171,873,303,266,772,679,566,547,586,756,939,181,942,417,
324,458,860,453,055,370,226,852,514,933,714,631,992,342,294,028,087,373,703,
054,300,446,829,384,467,797,139,446,525,625,634,073,990,985,059,672,842,053,
159,930,616,069,736,294,599,525,511,550,807,742,162,767,582,924,011,948,884,
878,909,641,547,635,366,649,865,231,913,589,335,825,425,600,712,376,237,250,
084,299,249,309,810,009,502,291,761,332,047,295,159,057,475,491,333,293,841,
279,811,711,781,005,000,562,527,796,408,214,029,654,677,402,547,482,242,718,
469,973,787,030,785,821,281,287,188,712,514,253,584,440,615,717,976,334,065,
183,514,210,861,251,316,953,638,830,360,710,033,685,743,484,507,516,567,528,
832,432,652,683,429,477,283,957,995,158,142,838,981,230,314,482,910,652,520,
739,464,272,050,127,984,017,692,209,507,584,637,132,788,518,908,624,517,674,
680,022,876,714,486,127,007,026,321,104,057,568,485,178,101,597,207,190,024,
323,138,569,546,795,483,604,710,628,666,136,097,645,647,524,897,776,630,671,
657,513,171,169,501,208,749,141,858,038,729,248,188,352,080,970,177,599,013,
361,946,416,348,926,994,835,960,891,693,484,879,932,126,222,772,072,260,196,
956,447,164,447,522,349,196,690,715,261,063,815,491,525,856,320,739,282,575,
507,152,964,484,871,891,229,102,614,248,677,775,339,343,827,422,190,329,526,
557,169,195,242,955,175,781,188,628,924,840,967,914,875,332,747,333,634,825,
027,959,198,414,084,912,597,802,085,861,470,646,836,956,996,613,867,263,997,
290,489,777,819,637,387,360,459,337,688,260,089,571,308,753,087,205,235,270,
443,526,634,326,786,047,479,336,303,323,671,437,433,568,524,578,889,735,203,
481,579,714,587,514,610,368,960,829,916,542,315,110,324,651,731,381,854,009,
268,238,899,661,681,869,854,638,957,567,540,906,337,607,652,395,549,199,078,
249,565,208,110,862,529,774,992,818,130,509,205,422,329,184,180,599,097,718,
683,556,574,480,892,397,060,145,498,689,479,618,641,677,087,515,178,922,011,
229,593,593,224,823,815,838,786,017,387,153,014,173,336,894,550,073,172,739,
013,656,465,411,841,422,370,835,639,419,729,579,566,813,119,707,465,292,333,
184,816,580,454,522,414,431,373,513,998,809,400,476,732,173,955,338,979,930,
453,596,579,605,808,260,012,445,979,196,262,794,584,402,506,160,494,489,835,
927,957,518,301,417,985,673,206,793,878,184,719,038,317,119,214,633,838,838,
069,954,367,277,201,498,031,220,285,349,608,647,061,414,687,315,842,045,404,
067,917,501,651,008,155,369,056,730,229,946,322,399,728,415,313,470,132,179,
819,349,636,431,580,564,875,629,874,169,225,679,497,368,441,184,468,933,257,
554,237,842,082,252,881,815,330,948,574,364,976,282,565,604,529,135,168,365,
285,653,606,922,441,152,712,565,375,097,329,847,008,568,274,876,839,221,138,
723,818,487,617,570,944,298,147,383,732,388,026,601,124,369,622,054,671,837,
053,524,636,140,671,153,352,599,582,055,019,286,630,914,560,587,494,656,490,
614,055,275,466,876,798,736,668,922,433,446,908,502,973,110,037,086,785,028,
162,820,647,764,043,929,749,431,578,380,653,134,237,292,624,748,515,741,136,
031,748,164,594,464,393,336,732,789,266,877,117,444,765,690,741,611,231,061,
630,888,448,710,474,833,083,318,493,615,733,061,498,347,596,159,371,120,957,
379,057,681,727,679,829,867,261,655,422,245,313,924,759,055,354,882,902,413,
486,690,358,494,305,327,774,287,773,524,624,507,055,298,181,695,330,049,042,
281,627,965,022,020,597,628,509,953,024,663,047,316,984,438,852,475,507,788,
963,634,704,815,324,878,786,251,269,408,421,436,442,012,335,453,769,455,601,
400,451,363,831,570,245,165,007,958,933,131,737,981,574,084,241,237,901,341,
968,558,036,629,675,824,784,879,735,887,253,028,240,478,276,799,044,818,422,
752,887,506,985,076,460,442,167,257,921,464,429,438,784,536,393,953,903,318,
933,554,549,001,868,418,522,900,915,901,869,485,566,262,962,676,336,820,143,
755,468,747,505,821,210,297,863,480,464,863,059,470,615,034,185,433,227,775,
346,320,409,127,580,464,406,175,958,804,760,609,877,511,243,393,057,517,571,
732,354,717,848,280,539,883,385,797,024,972,756,349,488,857,217,094,626,869,
488,204,710,275,005,232,288,554,527,942,719,331,113,633,243,237,589,171,319,
436,171,813,893,423,906,867,204,931,100,180,473,523,990,253,594,469,788,861,
258,326,242,731,933,258,439,553,464,316,169,391,838,278,368,724,251,892,639,
008,911,541,094,547,681,762,053,188,169,317,833,472,750,495,178,565,061,574,
422,733,625,967,597,351,354,809,209,002,130,133,134,523,536,383,291,337,281,
106,834,008,288,128,156,869,505,716,825,138,172,656,323,340,604,718,887,535,
798,142,901,851,992,653,805,392,535,996,949,352,941,134,070,300,301,835,777,
234,628,099,769,379,940,471,137,568,185,253,087,322,012,243,216,581,129,298,
619,993,437,173,776,695,370,833,219,984,128,373,403,262,401,332,568,703,761,
319,761,131,584,495,945,979,634,182,051,275,114,045,860,070,716,528,530,607,
769,220,530,423,283,671,090,635,610,084,023,999,354,477,668,813,846,069,407,
520,584,624,095,576,215,045,529,599,589,844,704,836,670,253,228,033,008,787,
969,512,257,908,052,626,938,556,612,485,913,409,043,915,206,118,320,961,526,
207,486,303,858,617,670,421,213,297,544,759,550,171,294,823,954,384,593,660,
408,762,044,621,603,711,953,326,851,022,392,971,981,215,773,978,899,956,229,
742,461,239,982,524,096,573,729,123,363,539,259,046,164,864,672,318,221,469,
209,053,630,293,654,433,434,972,142,502,518,470,375,808,282,728,418,147,701,
342,599,060,324,550,739,998,422,021,641,281,643,791,697,213,533,523,994,073,
793,284,190,825,883,905,323,547,942,547,386,968,934,291,208,618,574,772,542,
082,445,234,762,961,879,394,555,030,111,523,168,604,848,321,073,490,364,217,
862,922,612,060,777,358,165,391,103,769,668,127,567,249,650,755,652,999,741,
995,102,995,688,388,859,359,912,292,074,342,388,971,124,214,310,790,611,212,
316,094,681,951,980,663,542,652,236,738,188,286,386,843,570,567,225,884,901,
293,579,386,771,318,753,100,136,927,909,658,069,146,403,373,887,125,232,738,
790,236,282,555,946,916,642,764,323,332,261,082,472,857,639,857,551,981,489,
017,889,388,318,995,132,669,740,432,046,647,384,367,980,648,452,315,965,318,
507,163,159,377,181,972,864,106,126,086,386,933,780,482,156,731,843,594,455,
453,127,084,600,025,538,617,660,552,868,722,531,079,270,684,220,429,641,527,
131,594,277,145,567,966,927,594,341,891,799,604,790,354,342,026,358,890,149,
922,054,457,428,173,027,292,981,082,623,676,335,683,953,136,651,191,051,330,
446,976,270,585,796,601,168,798,772,505,045,042,790,980,075,652,671,406,738,
567,157,505,229,182,629,270,869,801,366,623,527,831,473,770,832,680,421,756,
893,652,999,937,070,261,027,970,549,476,824,377,481,945,322,116,860,094,390,
963,452,976,358,955,203,137,012,689,393,536,668,510,144,331,218,056,250,268,
085,130,984,062,182,296,687,810,963,583,737,769,435,681,609,335,283,962,964,
706,679,333,252,973,054,013,140,479,189,677,528,587,781,806,085,866,826,626,
345,789,089,205,324,093,523,282,984,765,354,289,747,585,760,784,914,339,914,
257,972,064,504,192,250,715,422,766,169,737,861,317,184,533,317,131,961,004,
029,580,218,564,116,674,977,979,304,187,188,113,705,239,124,481,043,234,097,
813,634,100,972,867,751,229,156,138,145,139,887,078,060,226,042,035,328,119,
141,712,996,476,130,821,751,604,475,575,409,347,331,622,098,886,845,263,328,
532,818,525,051,879,547,526,159,216,840,737,696,348,119,509,668,943,619,317,
017,960,270,943,171,676,795,510,771,879,855,013,043,797,764,868,113,472,900,
132,907,489,596,903,918,262,011,487,067,616,535,615,498,995,362,712,222,425,
023,640,512,880,085,705,159,542,890,117,926,558,994,479,270,057,162,219,586,
712,056,839,642,391,596,465,794,695,245,415,293,751,170,282,336,886,551,526,
464,635,762,036,465,411,530,061,709,294,674,660,733,637,847,222,857,829,793,
920,174,995,468,377,169,584,802,234,644,050,496,366,179,259,390,015,287,867,
901,405,013,732,204,496,729,589,758,651,392,378,389,223,437,264,689,587,588,
043,403,533,570,206,802,154,673,175,348,926,799,859,537,886,620,474,847,385,
191,814,454,368,086,545,370,719,352,751,285,595,984,684,748,403,031,341,369,
298,423,652,097,523,377,487,325,529,563,478,564,548,030,645,206,358,973,526,
968,518,641,697,982,330,794,886,806,700,200,282,433,956,962,193,941,787,046,
233,877,565,420,568,269,380,362,450,792,449,520,312,911,690,878,292,367,691,
055,126,688,550,859,138,114,886,878,314,305,529,799,066,688,810,678,366,936,
803,488,277,669,705,509,121,221,551,590,533,379,808,520,688,584,512,990,976,
979,289,794,832,467,079,673,384,706,763,294,952,810,653,314,685,141,750,299,
446,126,904,266,152,745,471,183,281,663,218,389,291,051,758,504,729,526,146,
216,707,844,858,428,657,462,110,581,699,969,397,788,506,328,622,458,004,958,
574,368,132,502,522,769,537,318,299,788,882,846,302,818,907,479,625,586,541,
491,975,159,700,911,233,364,102,776,415,999,175,560,600,857,411,880,039,907,
057,107,500,359,830,915,101,036,206,440,068,419,160,682,569,176,932,067,909,
961,248,272,404,270,494,628,902,827,237,600,643,342,218,687,925,936,568,291,
338,847,885,458,130,488,175,145,581,582,217,594,172,580,559,431,252,603,666,
342,045,048,174,884,745,251,712,050,407,573,026,592,137,870,977,835,201,972,
759,749,042,016,828,110,479,229,459,089,891,165,488,187,385,754,985,886,103,
034,080,757,727,769,088,279,894,794,805,768,212,080,156,662,250,074,774,783,
923,644,529,252,874,901,719,372,014,105,733,013,359,340,857,734,830,788,247,
312,335,463,976,904,282,056,079,097,168,984,135,713,196,771,379,585,367,928,
267,970,259,889,128,877,984,158,376,103,187,589,887,400,058,562,036,363,807,
390,436,005,707,547,511,517,084,676,797,357,169,873,727,715,010,827,175,049,
498,242,223,283,294,012,269,721,859,428,605,447,543,162,733,644,144,717,177,
572,123,925,264,100,456,848,297,161,571,754,765,609,513,290,431,189,531,637,
118,687,667,236,074,901,543,313,653,156,249,087,187,073,782,041,160,559,505,
356,241,738,443,449,935,175,424,704,075,792,066,346,206,634,896,769,842,139,
155,065,395,356,303,737,074,686,962,424,018,272,206,220,328,757,111,309,714,
744,828,465,340,681,434,411,871,810,584,863,185,512,929,052,728,104,453,800,
796,939,727,252,761,227,099,977,303,976,954,479,814,446,332,441,339,606,688,
726,715,447,886,545,317,817,553,450,944,763,984,260,301,184,672,580,070,889,
189,104,263,466,155,387,556,036,767,128,638,882,377,552,557,133,881,097,004,
023,384,484,506,044,924,130,964,072,487,252,889,508,907,585,280,600,859,402,
003,522,526,266,711,479,315,169,845,410,765,210,192,502,707,536,889,924,040,
921,272,001,127,444,645,298,186,874,759,220,720,951,205,377,674,023,237,801,
742,549,573,996,939,136,120,458,573,151,101,213,742,961,176,841,362,083,425,
126,114,429,376,431,768,538,884,619,958,754,717,289,286,635,437,899,863,976,
565,990,218,037,336,219,131,810,923,384,140,035,035,359,662,702,718,456,839,
346,569,534,994,733,055,772,166,292,748,072,087,500,839,632,446,961,675,837,
659,475,607,605,387,128,697,261,154,517,620,708,261,709,806,272,276,633,967,
541,037,771,954,298,774,168,719,621,976,441,700,897,745,067,410,906,827,295,
377,619,907,899,068,780,404,694,681,207,310,427,892,926,574,972,677,800,149,
431,074,814,907,548,044,127,351,413,424,210,035,340,696,950,006,206,046,965,
084,431,551,049,919,715,504,633,498,622,081,085,754,085,128,741,062,524,657,
722,503,084,928,142,129,453,145,963,205,069,809,767,417,592,373,986,069,461,
977,725,838,971,396,031,608,045,928,311,354,503,890,225,732,083,270,473,583,
006,598,953,168,810,626,445,120,602,518,540,272,648,813,677,246,135,357,793,
216,042,807,521,331,237,938,319,243,998,749,641,954,820,223,526,875,919,190,
218,711,470,057,770,592,934,280,886,834,491,074,714,161,748,340,633,657,846,
979,051,994,827,035,120,692,170,759,873,096,823,822,180,678,965,310,653,244,
759,756,608,624,983,429,173,258,430,986,948,030,658,241,075,978,122,768,265,
936,120,973,651,634,250,772,520,148,888,631,715,514,138,990,172,277,862,713,
371,278,899,881,605,592,689,907,169,091,053,323,213,888,888,637,019,044,311,
655,340,691,503,105,865,576,158,091,896,891,359,235,850,837,547,110,505,138,
385,862,025,126,546,186,719,571,510,956,401,583,219,825,939,377,803,278,755,
809,252,409,346,737,118,794,306,063,054,192,288,218,489,839,143,020,337,706,
672,680,782,297,207,460,622,807,487,719,052,561,018,666,318,812,265,069,813,
958,445,745,872,977,626,332,687,436,305,624,275,948,406,835,580,418,901,688,
022,138,359,761,400,998,138,465,402,950,625,258,142,024,032,018,076,611,575,
017,541,032,416,004,624,247,272,200,771,038,021,513,423,166,261,014,859,751,
462,002,909,061,845,181,906,307,509,233,417,162,287,391,601,832,913,955,150,
759,628,718,140,148,772,459,956,426,598,470,185,972,319,072,476,323,993,230,
543,612,562,551,337,310,525,250,371,594,823,819,590,403,509,739,245,669,141,
119,249,961,262,474,335,397,764,071,769,823,901,664,255,865,266,205,623,422,
786,234,676,090,571,358,854,655,333,732,808,978,750,412,025,257,528,261,524,
966,422,559,781,561,354,448,019,234,821,138,402,188,957,976,023,051,214,262,
932,938,856,464,038,938,231,484,772,880,605,115,661,980,072,326,262,012,544,
060,503,632,637,594,772,789,005,060,926,300,130,648,625,322,785,569,382,552,
752,994,403,420,670,504,661,959,837,241,299,782,494,079,971,826,754,493,512,
214,551,480,616,381,013,211,849,628,858,663,876,304,232,773,514,035,371,920,
588,003,629,203,943,334,901,330,615,270,487,143,586,493,931,612,920,589,596,
450,261,679,327,059,317,941,251,047,896,240,288,707,041,716,634,069,067,110,
466,027,244,460,265,265,586,276,545,285,730,001,031,442,511,080,698,082,711,
709,945,309,525,554,275,880,275,196,448,088,138,151,488,596,959,505,676,140,
894,422,344,338,518,036,029,108,614,007,652,174,918,858,772,768,886,934,903,
026,310,989,058,196,203,345,032,127,703,736,176,828,586,844,586,086,099,265,
994,841,089,860,395,259,532,582,949,202,755,894,348,254,870,650,999,720,519,
256,052,118,174,223,699,341,741,592,089,860,863,997,075,640,190,277,624,041,
232,805,951,762,324,827,304,047,438,418,334,612,853,592,458,729,124,946,054,
316,666,626,256,817,418,915,137,837,620,259,622,877,033,218,788,998,046,775,
073,880,032,835,576,808,018,264,576,742,266,090,663,233,410,107,134,057,850,
959,116,561,900,973,178,176,639,753,169,416,993,584,539,516,221,051,712,145,
886,104,166,345,695,464,110,247,546,659,466,893,395,506,429,500,314,831,386,
284,451,865,438,131,357,632,793,773,173,692,147,508,997,485,056,246,085,613,
436,764,929,777,937,014,515,111,396,029,785,949,182,516,935,766,341,808,661,
230,524,921,779,622,645,931,446,212,736,207,412,586,425,657,981,155,501,252,
070,065,656,952,057,086,401,380,610,410,920,001,198,461,135,692,783,585,860,
303,249,278,797,897,193,943,915,508,750,508,477,312,614,350,860,060,425,613,
370,392,442,151,721,962,924,842,148,615,601,817,331,540,687,782,621,772,607,
472,335,309,747,828,142,149,910,866,444,951,519,489,736,295,043,163,230,621,
122,412,129,590,219,068,487,010,361,876,378,072,612,819,455,365,339,952,963,
597,208,919,004,403,187,944,525,237,917,833,646,109,955,496,930,849,154,979,
570,153,375,215,749,477,577,593,960,735,337,100,298,759,710,600,804,894,308,
158,991,856,361,742,609,126,922,059,189,207,084,766,469,462,761,538,348,529,
203,980,692,231,043,941,682,423,741,407,627,040,728,630,123,691,248,430,753,
043,118,584,385,564,222,070,092,486,056,725,493,344,485,370,238,095,322,347,
333,224,140,690,768,422,643,821,850,742,204,081,581,225,870,352,889,439,942,
930,651,736,553,946,123,081,737,018,791,909,085,249,537,206,232,148,363,177,
838,286,254,252,417,543,517,575,663,440,890,753,379,618,995,499,020,327,263,
673,249,649,055,911,064,538,912,814,708,294,255,138,403,359,732,070,614,896,
932,642,916,948,249,615,865,659,857,390,182,616,935,711,362,056,737,917,807,
006,563,844,056,876,137,060,683,262,983,859,874,515,194,618,847,856,830,421,
194,171,822,962,923,349,414,202,979,658,137,984,931,277,923,767,218,773,277,
637,228,462,506,338,561,080,081,024,009,617,098,244,314,033,650,190,127,189,
130,139,580,114,657,060,498,564,516,949,076,304,314,286,828,539,306,838,841,
254,339,008,229,434,349,512,723,382,547,888,452,014,274,407,771,391,515,556,
146,726,555,811,586,923,087,039,235,228,530,122,513,548,315,968,832,807,104,
423,862,415,308,120,269,151,299,534,221,566,997,657,008,006,067,736,278,474,
357,788,824,338,270,797,825,584,005,909,210,546,248,110,271,555,313,785,234,
304,544,179,949,756,539,212,899,550,138,333,036,691,875,986,210,133,250,631,
345,065,394,491,126,743,923,054,172,689,051,790,554,467,153,538,240,485,074,
861,365,185,620,599,582,514,212,169,106,671,914,971,307,991,318,179,264,214,
650,589,013,303,605,089,613,598,188,668,388,722,670,901,025,580,281,362,920,
514,730,600,580,057,276,994,687,797,195,815,526,901,872,583,623,463,143,619,
512,274,093,821,243,102,296,753,405,958,263,299,400,545,103,401,095,205,835,
352,949,659,115,322,234,137,246,874,449,823,459,217,166,743,985,054,797,017,
638,524,941,692,232,430,622,074,183,495,959,935,749,431,720,593,101,485,700,
059,778,050,066,026,484,886,164,457,845,645,462,838,735,434,747,051,275,287,
000,943,273,242,121,051,244,638,214,751,632,011,781,787,543,510,966,703,055,
115,524,894,538,466,982,664,332,449,021,288,175,610,944,266,506,678,077,577,
955,200,197,766,306,761,214,508,147,904,471,349,441,746,854,701,481,812,131,
256,377,099,451,441,420,777,996,814,986,741,659,200,456,198,202,971,053,593,
155,231,975,935,936,285,530,779,146,261,648,887,711,913,759,012,354,761,412,
787,545,152,258,814,148,951,504,134,054,781,575,123,629,867,627,815,490,763,
195,999,467,820,044,452,542,495,488,323,470,794,650,581,701,230,815,636,122,
625,263,525,454,355,380,654,713,278,533,618,002,808,998,091,516,419,879,697,
239,698,893,557,200,595,088,377,213,354,929,361,855,481,090,983,870,244,144,
542,315,889,030,699,761,905,563,870,040,998,223,688,971,961,612,450,103,992,
297,788,408,910,969,317,719,202,906,025,297,007,147,842,275,540,864,004,235,
269,472,756,697,914,926,952,722,361,151,745,804,673,775,563,223,105,317,111,
952,898,183,425,243,143,462,988,533,497,294,009,978,728,177,425,413,920,555,
190,075,549,547,681,169,465,620,893,049,939,789,865,415,908,903,441,082,665,
234,218,157,364,530,692,132,868,970,314,422,827,749,324,225,570,446,075,445,
600,904,278,506,367,353,748,475,579,276,540,883,459,892,829,739,110,208,334,
189,176,166,668,409,481,594,638,221,725,709,241,283,743,853,015,357,328,695,
611,507,392,238,779,750,305,032,396,199,578,350,247,384,683,036,746,410,155,
789,780,784,653,707,135,493,024,552,497,313,858,112,158,778,139,385,209,235,
806,961,604,754,668,482,507,650,392,261,080,359,189,501,438,001,161,283,300,
625,539,593,769,581,311,947,334,817,709,179,275,984,692,286,713,179,068,504,
548,190,335,532,165,338,363,159,778,861,032,615,115,631,825,290,483,430,602,
876,893,606,726,420,040,716,956,180,830,150,447,366,837,013,649,623,580,710,
788,048,562,988,100,423,356,985,720,139,385,013,729,868,142,405,563,847,132,
773,592,543,861,286,643,364,444,161,988,537,462,028,833,111,504,865,434,676,
959,385,484,933,779,856,597,945,954,091,859,722,587,158,034,741,526,418,317,
478,701,043,135,091,646,201,052,401,002,743,215,443,631,907,556,159,608,207,
494,892,530,144,134,484,019,609,523,879,016,023,314,865,257,068,519,043,999,
862,277,479,062,390,106,949,580,223,055,411,297,693,626,469,233,612,704,057,
381,975,000,792,176,962,328,771,012,667,174,218,251,793,851,614,217,571,116,
350,472,269,257,347,724,817,424,288,252,041,346,739,716,051,988,902,368,096,
349,301,418,605,934,171,891,932,827,983,143,582,275,179,331,452,422,233,585,
390,492,776,508,095,650,976,395,844,297,176,159,217,965,388,212,862,931,763,
153,956,517,799,056,057,994,079,929,982,034,981,476,688,887,318,206,138,241,
265,021,345,891,157,627,347,661,307,894,497,360,541,743,532,538,839,120,187,
971,405,788,155,594,297,186,105,394,225,404,069,637,532,889,760,079,916,878,
091,353,427,178,621,197,812,756,936,025,245,539,514,329,171,831,004,685,855,
588,758,191,809,552,263,942,929,953,118,400,567,833,520,116,126,453,647,180,
105,869,933,782,620,476,765,666,883,860,808,993,280,600,482,790,199,495,757,
924,969,285,048,875,657,980,628,541,566,606,948,597,876,645,764,726,708,535,
732,300,662,994,849,524,716,611,426,162,971,723,068,870,005,876,447,294,756,
849,210,358,001,373,599,839,083,644,266,792,299,737,833,868,437,503,967,542,
669,941,010,238,932,625,111,001,043,436,353,303,223,822,782,125,932,047,940,
084,390,932,297,211,856,632,958,635,898,709,442,316,442,681,963,866,708,020,
917,315,168,766,654,697,097,007,680,678,623,712,471,792,255,192,856,789,622,
734,726,678,144,167,738,071,176,225,016,640,450,163,773,642,445,366,110,726,
365,837,171,532,479,441,143,601,866,389,195,391,430,705,790,613,605,468,183,
281,026,524,929,961,302,012,672,335,059,697,078,561,373,356,131,465,316,595,
176,385,581,542,476,342,153,532,623,073,468,733,515,213,728,825,939,224,529,
256,979,289,852,928,641,912,480,441,466,404,134,147,557,778,335,452,573,623,
359,752,932,985,409,761,541,007,325,548,683,156,377,913,199,503,634,469,594,
667,013,693,383,219,367,749,589,012,989,694,844,896,333,384,791,019,883,243,
483,473,557,812,324,681,645,020,960,901,320,327,440,953,206,980,420,325,763,
226,847,805,550,536,226,612,811,666,735,292,826,984,501,700,061,310,582,565,
258,255,046,906,956,813,580,043,617,493,220,151,363,362,746,000,631,954,800,
289,245,747,847,379,186,860,720,626,146,012,312,359,568,808,504,494,929,784,
032,828,877,515,304,820,997,747,418,332,840,877,817,023,376,123,435,230,748,
685,987,171,538,350,619,430,403,142,727,642,091,445,791,410,656,642,391,586,
091,369,525,103,433,425,203,581,572,907,889,534,610,181,549,304,409,835,799,
605,238,365,541,759,006,396,364,715,657,340,750,206,259,243,298,036,423,929,
043,240,928,254,539,915,130,774,276,107,058,857,220,600,205,674,254,795,067,
871,290,557,650,426,809,576,624,428,497,547,242,710,975,137,184,293,893,411,
706,295,670,302,620,468,506,851,109,650,068,609,871,832,802,406,300,954,106,
939,305,725,864,841,298,854,745,504,848,253,212,698,275,655,218,655,274,786,
721,542,334,077,347,314,600,840,186,540,339,289,130,841,838,763,202,357,339,
927,921,148,891,442,519,665,105,625,519,062,750,516,501,461,300,492,130,169,
006,579,458,778,313,176,378,186,949,689,953,249,279,061,542,496,768,237,289,
911,129,480,884,455,644,819,860,265,305,790,649,385,986,591,169,110,292,533,
704,513,768,179,766,367,051,105,119,181,743,127,637,803,638,117,563,637,509,
578,900,959,832,718,140,650,685,073,895,989,087,847,805,721,346,904,878,833,
333,919,541,597,317,499,557,456,277,303,539,096,430,036,736,213,307,955,361,
274,880,090,057,314,990,876,371,017,422,681,300,145,679,238,226,078,649,449,
154,501,597,181,773,910,638,734,348,466,502,124,400,157,091,925,838,669,777,
968,969,605,153,466,825,887,220,768,019,024,738,068,896,818,261,216,224,897,
531,086,404,742,395,520,345,684,757,560,111,993,116,271,563,592,417,670,566,
305,561,312,767,767,178,350,230,868,670,810,598,437,219,717,611,667,449,303,
522,964,593,280,649,575,649,796,273,842,443,371,251,150,199,681,986,004,060,
323,934,571,750,944,706,717,725,139,517,250,185,605,004,363,057,335,695,087,
284,258,130,595,261,836,394,148,638,669,931,352,378,015,235,286,191,901,015,
089,572,980,260,994,525,435,554,827,130,151,029,670,953,160,189,848,777,215,
913,515,914,411,219,088,320,761,291,074,757,231,624,432,071,150,566,230,313,
829,022,974,061,497,675,754,194,503,434,829,152,237,620,705,079,226,077,865,
386,421,623,226,408,016,519,454,079,297,477,890,653,417,140,314,653,275,103,
576,949,623,756,745,676,919,433,163,401,349,395,313,253,793,250,925,024,674,
345,014,836,974,546,133,869,850,710,851,848,034,156,962,793,794,857,613,532,
557,111,195,971,660,267,049,450,667,778,884,463,172,355,813,695,580,752,712,
981,907,412,324,214,106,709,647,307,249,513,365,198,609,964,954,144,448,425,
561,852,410,686,842,194,230,770,089,060,784,807,299,170,849,197,749,904,662,
718,495,500,828,259,870,984,660,922,470,261,696,512,418,663,765,973,417,486,
152,633,853,564,522,729,516,608,444,544,051,861,832,558,800,311,114,962,127,
236,603,550,868,909,999,461,912,118,124,948,646,120,802,501,774,890,075,328,
489,509,021,499,345,748,196,800,192,111,565,166,958,789,589,117,040,455,074,
615,048,311,702,084,295,271,338,841,770,527,340,750,079,933,415,136,381,858,
776,818,813,653,165,740,130,049,656,544,746,219,462,870,280,478,912,164,141,
503,747,889,809,601,444,911,183,814,875,471,532,633,482,244,506,122,514,641,
714,146,477,748,172,659,343,079,907,155,821,101,971,431,269,869,369,989,421,
348,712,088,567,302,377,587,934,792,790,531,513,310,768,545,717,046,388,641,
254,827,683,685,241,321,729,749,300,254,108,734,051,197,941,579,243,039,159,
147,931,071,747,808,991,956,523,541,085,237,333,124,316,234,501,320,763,873,
800,511,153,691,845,953,857,303,289,509,856,734,793,452,091,967,091,616,018,
745,732,576,743,562,847,356,213,775,197,667,984,739,931,317,755,402,108,569,
111,315,672,484,410,698,326,656,251,966,226,003,073,030,159,153,144,252,591,
033,134,302,236,834,138,322,722,818,612,142,770,540,453,241,528,676,678,429,
041,927,203,492,450,267,283,011,560,312,322,350,187,180,558,887,170,930,664,
699,322,775,393,785,793,301,527,511,665,890,134,234,160,498,869,364,960,527,
817,137,357,318,402,395,792,818,179,758,988,066,122,327,642,694,742,806,408,
753,418,318,947,206,693,666,269,945,734,820,022,278,513,401,377,607,162,711,
874,603,841,569,800,073,396,486,188,432,485,022,709,757,959,371,298,059,062,
683,846,614,079,790,706,189,124,362,634,569,160,211,714,113,137,575,646,324,
752,027,983,972,320,938,256,004,973,758,717,242,366,209,580,820,592,532,684,
645,796,580,740,061,590,157,717,767,201,989,372,905,982,530,996,343,649,598,
048,334,354,875,348,255,698,532,792,928,390,544,850,194,566,519,333,555,587,
441,372,615,944,235,302,924,966,616,608,010,344,466,511,813,458,404,667,755,
615,554,838,258,713,602,678,612,533,779,101,771,309,042,389,398,906,761,808,
105,616,828,774,033,634,605,081,175,104,795,079,976,032,335,949,481,404,620,
651,996,291,207,622,524,442,491,331,943,988,362,845,043,508,318,758,732,885,
962,064,906,686,507,843,866,556,347,461,322,088,043,368,756,195,533,917,947,
514,292,302,613,286,278,612,094,004,693,131,231,369,229,598,117,345,779,055,
376,561,389,114,603,252,759,983,471,137,620,381,901,357,638,714,118,393,145,
526,730,706,144,641,211,895,406,076,460,218,973,459,467,347,570,275,413,603,
486,547,523,282,597,842,432,677,517,910,340,855,143,686,923,568,629,501,592,
703,468,986,343,360,268,759,083,821,068,637,170,586,861,719,801,328,348,816,
079,833,053,296,171,617,416,847,673,991,856,377,124,002,673,345,623,848,598,
374,271,207,418,654,366,970,313,679,317,897,253,152,501,726,725,055,943,123,
083,350,573,979,362,893,447,130,835,584,538,714,777,033,876,277,109,239,123,
562,847,999,672,462,352,301,250,872,020,783,623,475,893,039,534,293,385,354,
581,809,618,009,064,346,165,015,410,211,483,616,089,235,494,950,404,650,408,
295,353,437,648,727,637,690,810,143,529,645,291,126,940,218,481,240,848,038,
116,070,409,974,905,994,433,818,429,967,414,409,876,934,651,071,880,480,251,
440,477,652,313,764,256,407,911,344,142,936,208,289,751,060,629,652,957,710,
609,235,467,339,023,280,738,218,638,240,465,974,669,981,637,131,487,102,264,
049,900,383,145,224,061,081,075,132,913,374,708,993,170,152,030,209,560,217,
070,523,978,816,138,718,942,802,082,750,011,339,089,548,810,631,689,086,180,
627,161,680,475,029,876,787,804,271,050,835,510,176,644,204,220,265,839,781,
827,676,225,262,571,342,301,653,640,983,292,930,763,568,448,890,364,085,715,
421,501,043,824,419,684,134,579,007,231,625,462,583,061,092,989,183,595,702,
944,170,415,613,469,190,500,075,509,774,818,436,616,284,102,998,775,307,360,
915,040,542,298,373,731,382,842,887,071,116,953,683,015,337,281,000,800,531,
408,792,348,537,276,327,977,747,949,549,588,567,964,284,141,657,608,501,195,
391,458,376,159,603,487,665,486,961,114,821,501,360,758,220,444,244,937,727,
342,325,711,007,563,315,345,324,684,554,389,782,366,925,240,122,855,362,649,
926,184,480,228,720,267,619,211,083,098,463,168,071,283,333,875,503,668,431,
107,025,438,296,545,639,076,511,996,485,031,612,361,131,515,740,863,037,918,
512,209,427,245,010,961,308,715,482,690,128,390,302,239,621,750,036,981,114,
770,697,736,507,290,694,360,786,029,404,532,512,250,468,096,001,748,509,174,
349,181,823,674,661,373,747,799,719,777,654,640,739,168,463,460,966,200,654,
306,051,624,802,360,960,642,849,307,846,221,706,573,160,344,784,209,329,670,
338,403,475,279,656,955,895,014,240,125,360,732,220,560,922,603,381,974,902,
754,167,989,923,343,421,079,363,707,449,060,931,346,962,356,015,669,061,542,
081,900,669,375,101,071,774,822,716,129,842,298,042,844,392,538,578,699,046,
679,308,899,290,361,054,138,459,554,230,810,094,814,812,025,501,138,140,168,
094,385,834,504,475,794,573,726,098,002,218,932,183,687,446,857,309,767,458,
814,900,559,441,028,888,961,371,518,752,452,854,531,821,826,306,029,722,935,
078,699,857,964,772,168,367,381,793,267,503,597,341,436,760,246,680,643,630,
728,954,474,524,085,170,469,570,144,373,186,139,450,995,697,358,852,734,368,
525,474,847,268,590,264,111,256,227,802,353,087,346,996,100,521,845,676,819,
756,624,531,911,411,091,629,239,672,863,470,363,887,707,077,840,577,878,725,
575,479,743,679,564,818,488,698,964,269,008,318,532,271,519,854,537,480,795,
232,641,315,046,791,372,330,460,533,511,210,226,025,331,607,289,991,245,336,
033,558,085,533,265,089,025,402,139,805,536,989,644,673,467,261,977,375,957,
146,819,343,531,065,040,095,000,455,639,934,172,690,778,493,808,295,770,758,
460,125,780,409,857,793,235,025,089,982,983,531,690,370,078,640,233,377,265,
658,368,579,207,955,632,646,055,147,567,327,829,825,677,719,602,604,592,636,
323,743,015,393,906,155,744,118,423,265,562,504,813,813,509,041,910,061,612,
883,601,158,157,523,990,772,285,892,641,604,103,562,121,448,748,379,933,011,
498,700,478,690,329,963,895,447,052,566,801,634,956,946,158,557,705,963,731,
682,420,942,785,603,592,637,119,725,291,895,419,162,243,717,293,125,983,144,
715,041,647,451,948,410,214,083,822,479,277,282,569,693,763,189,653,598,284,
481,188,192,133,384,764,404,826,522,197,397,533,807,956,936,754,552,270,323,
274,827,512,298,779,212,317,436,691,879,079,333,930,987,701,050,808,539,804,
412,319,794,262,004,568,786,954,705,199,547,497,903,913,486,834,199,793,003,
785,151,378,572,709,481,780,258,634,684,490,384,489,201,550,184,045,410,051,
742,577,236,437,091,771,561,398,612,078,465,259,839,825,090,560,689,438,700,
847,771,036,132,969,792,456,402,782,662,132,894,856,029,831,105,250,195,466,
539,998,956,069,427,566,529,492,667,626,631,859,262,762,918,498,054,473,712,
803,929,471,166,481,715,485,261,801,429,376,405,359,939,717,588,215,778,847,
421,918,169,464,043,911,579,471,015,445,156,967,116,395,611,352,265,243,968,
333,123,901,541,112,279,070,615,212,328,843,958,582,389,933,507,787,953,621,
152,834,374,036,915,169,802,532,202,704,812,217,268,313,626,970,313,346,050,
849,050,815,151,538,600,432,323,623,863,765,805,120,444,489,553,994,375,536,
772,336,132,509,098,597,939,873,357,084,711,603,414,324,706,750,839,398,614,
645,660,670,971,944,284,555,553,892,032,747,942,511,205,884,529,745,605,536,
893,713,382,774,246,404,424,261,577,246,309,360,021,893,468,770,935,735,171,
983,001,755,302,610,275,304,515,051,420,271,052,122,984,346,757,610,717,920,
478,149,833,543,891,376,921,275,473,788,412,505,809,376,587,002,756,597,256,
411,732,662,887,310,733,111,601,816,603,400,347,729,189,598,292,933,571,255,
347,191,038,753,134,792,535,397,373,004,483,031,639,925,692,809,546,415,467,
936,524,466,123,520,411,784,846,076,490,157,044,643,561,313,551,821,477,768,
504,906,219,152,657,950,056,014,292,355,593,420,824,138,758,538,238,317,373,
836,562,737,194,355,019,989,174,501,709,181,362,543,692,402,096,473,032,427,
562,919,038,956,263,444,814,613,387,575,669,724,495,247,419,096,627,592,379,
312,123,344,899,135,349,818,811,551,912,300,558,979,761,667,821,812,503,721,
208,512,039,416,882,537,711,878,063,187,834,908,734,476,789,205,762,241,937,
031,045,966,591,240,510,617,068,417,836,007,913,859,662,272,473,355,448,985,
397,234,656,549,926,980,820,410,162,962,509,846,285,543,068,816,240,875,221,
557,053,306,695,953,212,440,178,437,143,550,527,927,529,694,501,600,770,216,
415,739,100,514,121,993,553,458,839,069,062,072,618,865,629,864,787,103,514,
460,663,427,964,990,977,894,542,356,028,301,956,293,686,498,878,019,178,048,
180,490,174,434,893,223,438,186,946,270,502,902,509,078,268,427,708,397,112,
854,437,847,492,226,379,498,457,719,447,529,263,759,749,921,561,062,839,192,
779,722,250,465,225,289,560,204,521,149,066,510,438,774,401,097,318,562,563,
361,776,327,845,771,536,524,492,267,809,887,822,274,953,080,658,597,237,775,
145,820,920,644,284,090,430,894,177,566,261,213,745,285,738,104,348,502,856,
215,382,649,798,219,336,666,149,838,899,608,589,235,552,100,955,488,748,960,
135,357,842,857,324,188,226,571,798,773,639,945,415,081,519,241,374,112,195,
252,093,604,804,107,363,457,664,871,267,932,452,229,768,066,534,547,876,081,
033,204,673,778,509,521,196,413,365,850,197,706,392,329,249,392,436,295,067,
622,310,600,789,442,250,922,018,784,687,348,701,722,011,957,134,933,295,172,
557,003,599,025,084,816,090,650,625,055,228,023,602,872,193,861,295,907,327,
556,004,035,095,522,057,654,242,475,471,607,000,370,746,857,370,544,740,380,
651,904,689,429,257,417,062,862,434,945,706,174,035,866,470,180,908,856,297,
913,045,658,628,218,302,186,565,280,442,077,568,721,665,905,705,031,943,718,
672,817,524,993,416,966,933,969,833,287,919,059,450,176,742,563,173,448,578,
075,441,780,213,280,705,014,338,001,728,337,905,141,575,179,302,807,525,315,
582,573,172,061,332,965,256,967,806,598,685,127,519,856,057,625,316,759,799,
777,621,110,114,539,244,535,122,367,442,801,791,587,355,461,212,764,967,943,
075,188,807,692,451,903,434,030,654,061,659,462,024,204,715,886,455,530,917,
628,512,674,433,453,162,309,818,700,337,208,103,672,446,704,124,272,733,470,
689,863,111,819,497,179,578,224,729,004,162,950,592,470,960,965,178,032,445,
458,674,854,119,259,441,050,503,038,241,796,377,258,681,198,369,822,620,066,
115,941,828,058,049,273,887,506,229,800,034,860,403,936,968,462,510,850,105,
142,209,193,858,086,756,475,556,067,813,623,611,390,029,664,513,255,766,088,
996,934,309,942,193,699,940,265,499,120,935,468,692,071,130,616,760,774,287,
213,803,157,381,462,236,251,961,490,277,085,479,355,051,363,657,987,656,854,
110,711,579,960,122,409,584,988,132,495,297,474,793,145,327,123,368,900,268,
957,526,131,082,367,233,131,679,478,338,390,934,806,898,515,356,457,995,634,
580,918,557,287,050,610,045,518,890,227,667,442,394,417,661,053,624,547,456,
959,317,806,302,806,812,033,260,369,515,452,871,429,586,946,268,622,084,512,
083,368,954,259,024,029,694,086,619,155,231,469,556,594,691,422,417,485,058,
085,168,137,916,903,241,869,452,584,099,558,973,468,198,163,618,395,006,058,
989,965,806,687,226,955,266,676,073,550,638,852,519,646,130,154,483,856,423,
713,880,656,152,401,350,836,144,860,089,702,736,194,971,186,032,649,173,685,
209,282,593,514,750,653,228,279,095,171,028,926,338,524,469,027,634,184,161,
795,595,351,791,628,613,320,970,475,755,944,099,500,821,191,246,223,682,744,
641,044,347,477,348,609,040,255,512,756,533,214,618,126,898,667,565,791,020,
680,515,054,597,868,690,682,822,709,601,383,886,060,157,059,385,091,123,720,
484,617,634,320,972,418,019,589,892,747,123,419,618,201,294,887,066,799,106,
773,132,794,898,779,346,928,580,688,398,538,586,846,962,405,698,046,071,246,
788,228,158,928,129,187,175,267,783,122,236,279,912,342,143,091,854,402,141,
131,056,170,709,546,823,447,657,171,952,099,613,572,012,147,964,168,399,711,
948,992,232,114,072,990,061,887,148,787,377,559,021,617,653,449,966,331,670,
138,443,422,578,131,582,084,441,192,346,359,550,216,517,476,237,253,705,675,
184,514,405,383,840,210,103,308,925,252,615,059,176,419,427,290,833,775,664,
934,216,667,563,631,634,684,116,369,724,323,128,914,172,538,712,133,441,653,
702,595,379,039,721,908,176,764,606,924,508,083,022,258,263,040,911,543,933,
704,434,193,991,097,637,333,697,875,679,932,062,151,062,716,607,535,647,937,
667,378,101,666,038,368,366,630,308,682,259,836,233,490,528,696,812,148,747,
769,071,967,396,049,021,195,258,137,173,221,591,192,193,681,932,712,283,114,
786,202,680,635,290,882,687,741,972,474,679,424,492,072,086,613,115,887,886,
983,175,258,570,671,244,107,604,640,818,741,745,747,267,036,433,441,105,944,
400,916,264,789,097,628,335,292,042,797,334,016,510,825,195,153,849,559,697,
118,583,796,112,806,342,974,492,647,763,466,779,250,150,115,426,423,036,380,
712,911,317,663,120,755,913,126,125,687,999,711,087,346,965,216,920,235,919,
942,702,986,122,005,829,074,768,926,402,417,825,096,773,053,361,462,624,586,
659,642,451,214,329,216,234,926,551,021,937,981,031,555,536,030,907,696,476,
980,192,092,119,647,749,497,440,942,051,847,681,922,305,301,536,195,856,345,
673,086,223,836,893,800,616,734,996,182,883,065,176,333,464,731,926,571,279,
883,861,487,893,077,690,613,867,508,924,685,223,606,364,548,757,634,655,159,
399,441,536,601,408,606,658,399,812,875,452,862,887,235,138,546,878,162,108,
832,840,873,534,506,686,948,557,656,004,275,886,798,719,058,423,679,753,893,
836,360,886,429,429,792,625,287,188,264,528,623,264,331,176,018,168,511,016,
919,647,312,605,010,765,782,314,200,978,877,147,684,584,462,842,921,701,383,
309,482,052,821,647,034,589,891,607,741,175,616,042,532,522,103,413,081,594,
835,690,946,977,398,330,946,057,493,803,657,133,182,153,212,863,353,829,804,
374,536,535,309,405,437,167,458,375,939,141,550,455,026,713,319,414,275,610,
495,627,990,163,574,462,649,335,494,698,019,828,427,121,577,338,345,106,573,
250,371,016,418,176,012,457,890,904,659,815,749,702,447,856,376,723,105,094,
978,005,834,689,031,527,035,685,448,512,190,596,764,519,121,637,691,817,376,
851,042,207,443,965,770,624,735,846,915,084,624,208,844,771,098,245,517,067,
250,203,959,827,386,112,808,039,285,300,341,225,857,693,097,783,287,835,063,
082,203,147,023,810,035,884,176,718,695,313,793,109,230,612,033,728,236,562,
479,430,356,552,560,358,019,519,074,566,936,588,252,342,912,004,751,834,472,
431,432,253,068,762,737,490,897,209,003,919,669,145,954,308,985,822,146,419,
525,162,961,314,886,006,078,523,243,540,184,306,957,753,901,875,910,681,961,
457,273,392,219,109,328,462,992,789,253,991,299,204,097,500,911,152,837,659,
119,912,246,648,021,171,658,410,923,850,049,924,788,107,105,637,446,309,184,
349,531,593,952,433,812,792,897,362,620,302,703,989,715,045,653,206,072,063,
706,832,301,701,408,141,626,340,551,203,034,541,022,421,417,794,749,485,684,
169,614,564,693,653,209,921,439,572,624,809,694,882,373,391,997,904,560,296,
114,755,920,603,241,708,861,289,317,981,574,611,633,537,840,795,577,516,101,
486,618,424,091,644,468,363,223,750,337,508,946,731,719,621,797,043,397,326,
172,962,630,595,316,559,713,232,223,670,453,825,330,135,146,358,783,007,929,
323,726,683,513,915,995,832,479,457,676,802,725,070,460,344,647,667,069,106,
768,010,852,029,883,355,608,705,188,011,233,163,800,477,032,907,787,095,272,
189,546,435,100,701,724,983,807,053,569,059,418,305,878,534,041,954,465,347,
164,051,226,409,824,035,347,931,909,668,083,531,671,677,391,336,583,858,913,
801,678,740,759,299,049,352,674,524,826,349,567,110,403,175,160,103,995,201,
115,670,911,854,377,229,653,821,267,779,352,351,987,222,034,840,633,031,468,
203,764,672,443,332,544,475,305,767,959,713,826,314,354,728,310,019,777,700,
441,853,691,618,344,359,088,036,360,960,954,920,081,167,852,567,503,313,122,
926,089,665,267,917,224,788,814,342,131,030,222,453,412,304,732,469,245,352,
548,551,885,781,968,109,820,384,335,015,040,689,567,606,962,387,514,274,708,
584,974,042,517,224,703,329,491,366,269,154,956,365,087,968,093,223,944,052,
372,903,469,837,264,870,398,899,505,192,381,151,650,765,676,990,884,995,618,
158,257,457,864,186,247,823,213,743,153,133,393,433,516,832,732,783,411,622,
248,977,805,873,370,312,979,887,417,939,576,029,829,972,690,906,589,570,739,
667,710,189,558,219,592,249,587,960,786,718,065,048,635,783,850,895,175,691,
499,729,429,490,433,647,299,306,791,373,626,838,739,444,012,310,522,542,707,
476,570,086,434,226,505,613,748,777,677,993,705,124,662,156,535,594,666,151,
876,183,564,746,913,500,986,650,231,477,662,709,890,353,493,259,320,111,421,
076,201,277,732,149,573,489,817,478,528,205,532,405,244,721,942,855,132,196,
678,491,385,729,698,897,553,385,500,236,878,158,074,468,656,140,178,747,903,
624,893,638,388,133,696,469,343,636,131,325,810,318,742,338,658,219,896,562,
021,402,712,160,692,740,192,594,429,775,922,460,900,378,099,373,370,931,188,
680,944,246,095,695,068,282,549,143,288,563,722,894,721,373,351,328,594,142,
634,269,190,291,101,829,640,336,684,849,872,244,376,083,867,142,117,926,782,
772,793,966,441,481,719,293,637,878,913,807,498,887,261,479,902,601,164,330,
876,010,066,099,338,868,575,653,132,569,947,222,180,571,680,146,527,514,457,
317,187,340,981,553,611,293,138,492,536,041,329,643,851,972,377,720,532,928,
851,569,560,620,368,034,848,601,313,690,419,100,507,846,077,601,511,370,688,
280,539,258,204,443,403,649,918,994,839,462,001,904,244,897,617,966,364,610,
320,932,814,666,651,301,862,785,371,381,411,022,727,715,251,821,015,395,758,
290,955,067,301,003,435,257,452,814,284,049,491,261,446,872,615,966,668,916,
734,598,670,644,411,358,180,876,787,126,592,656,066,802,592,829,746,175,375,
904,150,534,599,805,888,733,896,606,821,634,991,265,785,631,602,319,937,998,
975,997,427,965,831,111,692,689,966,497,137,647,332,498,846,096,627,519,821,
483,234,551,338,937,945,302,547,879,013,615,401,128,748,580,065,907,351,495,
026,886,938,031,725,036,911,890,563,105,656,140,816,997,037,834,030,793,288,
926,182,743,637,429,338,297,618,999,784,317,966,456,880,925,291,728,761,301,
106,344,779,569,766,256,617,916,948,038,738,919,191,802,683,138,627,603,318,
578,641,205,904,396,306,053,916,079,425,239,965,483,641,358,392,797,711,589,
879,637,330,196,770,626,755,417,124,133,300,300,948,941,292,171,061,970,502,
519,898,511,647,355,896,229,751,348,815,755,419,992,865,336,765,920,977,524,
898,445,759,652,814,402,922,696,910,979,902,534,076,555,301,130,312,551,569,
511,314,160,123,028,564,727,807,743,947,583,226,270,273,319,128,806,081,867,
382,632,730,348,672,719,317,523,110,673,839,363,835,667,709,744,521,597,834,
448,942,127,613,810,447,363,980,477,947,370,309,792,806,637,904,455,837,361,
900,199,977,346,055,710,366,563,198,034,756,555,136,544,329,091,177,979,145,
126,641,835,730,694,691,503,481,763,218,370,147,391,968,240,553,423,011,850,
944,937,824,840,893,925,864,350,875,667,878,780,083,768,867,271,705,480,079,
877,285,217,346,560,739,127,982,945,223,367,317,363,929,043,846,730,911,353,
931,229,657,580,610,361,417,142,174,486,263,408,886,622,759,225,238,539,312,
425,326,965,410,482,993,330,683,180,758,649,896,266,175,129,423,439,454,523,
511,480,427,711,416,974,398,715,551,749,472,652,294,601,623,303,378,219,997,
329,236,129,957,589,370,650,046,303,130,202,047,087,681,456,327,761,658,203,
461,623,103,484,369,853,572,200,920,945,872,312,818,097,461,978,166,577,881,
920,187,765,648,214,668,203,461,715,261,663,747,825,826,714,271,409,571,416,
601,710,963,237,863,955,889,527,077,745,574,269,444,340,073,811,880,872,868,
086,237,135,919,640,836,490,224,202,871,472,513,977,700,586,249,291,146,625,
537,870,357,663,298,056,511,560,177,667,733,496,577,338,296,087,438,861,674,
677,529,657,120,287,532,290,377,469,189,219,700,633,217,537,202,196,388,328,
724,450,576,289,026,142,105,342,599,870,279,819,188,752,039,462,503,853,824,
858,478,718,082,915,329,748,044,090,641,352,810,255,246,668,443,234,886,099,
170,546,873,079,231,876,843,717,293,205,584,457,562,022,084,312,354,728,700,
094,946,829,541,928,192,769,478,899,712,984,367,291,352,963,724,986,937,955,
884,265,635,035,744,174,152,594,490,340,974,182,866,778,391,653,271,027,006,
662,840,311,263,573,227,442,710,856,875,966,247,467,612,305,573,367,094,793,
849,150,362,674,341,319,311,285,468,805,461,461,357,919,427,501,043,568,467,
695,083,246,316,632,817,205,155,631,342,982,182,916,472,596,815,854,570,386,
898,977,782,859,378,961,229,328,632,709,010,051,129,877,344,871,554,923,982,
341,480,693,921,719,241,137,567,310,003,129,053,472,708,598,004,831,984,017,
044,061,290,427,907,090,138,200,731,738,055,469,020,082,024,325,782,537,607,
597,028,116,365,231,684,454,927,876,475,382,073,317,276,841,381,085,725,154,
564,602,674,332,392,720,979,013,146,871,434,485,264,158,324,208,017,795,038,
631,138,125,721,390,357,109,344,577,825,922,361,359,611,995,226,235,208,745,
278,696,694,211,703,501,573,368,190,455,733,583,675,996,338,395,874,685,904,
663,487,814,631,450,055,817,313,958,631,911,186,812,237,688,368,081,505,074,
948,419,823,027,852,440,798,297,691,963,214,213,747,873,936,729,650,820,525,
664,413,997,052,824,200,041,201,016,717,378,045,650,730,089,827,450,592,148,
404,830,886,523,541,756,872,258,842,749,856,533,159,453,212,733,583,662,041,
546,055,369,754,568,982,884,061,703,845,887,890,517,894,287,502,190,904,604,
818,057,228,423,895,515,240,921,343,822,466,215,814,829,827,868,714,388,575,
485,210,616,393,658,829,052,622,562,093,097,230,655,413,905,741,142,226,925,
165,261,694,082,262,204,599,855,806,101,866,942,938,770,454,380,238,192,806,
899,230,041,823,009,049,910,340,011,813,152,015,071,955,260,789,566,407,482,
526,831,624,656,776,979,567,382,953,196,701,515,920,714,722,871,289,445,764,
036,585,604,845,980,364,683,596,058,153,630,155,920,622,270,446,755,179,600,
446,553,929,403,581,492,340,862,398,729,618,726,104,794,000,243,218,692,051,
144,513,524,960,337,731,035,390,359,278,715,594,050,608,883,986,236,548,180,
046,198,202,822,708,666,858,662,911,321,710,058,523,507,951,736,960,504,592,
103,869,725,535,642,127,689,330,417,346,497,866,834,013,564,313,626,451,918,
530,852,658,820,256,710,303,904,799,108,171,212,033,140,759,128,949,312,582,
834,744,627,319,061,516,671,498,676,726,363,262,800,388,353,436,501,515,760,
255,098,100,618,672,656,134,990,659,514,455,841,212,746,881,038,529,736,706,
515,270,687,862,047,680,254,629,638,992,344,578,362,377,371,310,584,262,178,
723,574,471,218,972,582,405,750,841,354,764,030,942,993,851,245,178,666,995,
303,786,956,080,316,210,253,145,726,984,528,778,293,456,229,180,423,778,152,
315,157,790,617,650,602,644,921,894,506,856,219,513,769,385,084,781,536,263,
537,783,571,328,283,135,504,086,541,773,738,122,089,069,046,841,315,285,671,
101,036,631,213,903,276,325,637,330,513,362,574,373,174,082,662,335,114,107,
001,854,325,900,009,264,758,216,356,687,481,716,631,041,803,991,524,174,357,
859,056,137,672,322,291,599,900,759,467,401,697,556,329,932,196,631,791,280,
158,666,292,617,890,261,409,496,814,953,316,755,803,152,261,181,873,836,263,
270,133,125,104,974,718,905,874,529,540,693,096,357,732,485,595,792,775,357,
725,168,471,174,670,685,419,038,208,377,552,125,639,108,675,092,692,333,050,
719,906,292,873,297,657,917,194,483,040,795,197,267,399,823,478,125,734,085,
709,504,710,813,912,038,457,230,992,219,994,922,617,018,496,936,806,191,185,
508,283,041,478,184,165,864,534,407,083,581,367,281,038,046,156,382,401,449,
846,098,549,561,692,992,825,587,501,018,314,061,405,754,517,594,189,173,734,
278,399,864,882,488,849,847,860,871,942,966,022,841,965,178,315,706,101,874,
598,510,612,521,551,704,009,559,086,155,804,871,270,067,298,454,570,321,609,
035,540,142,413,824,958,340,409,509,854,124,125,895,282,620,665,993,935,617,
324,467,604,501,405,420,632,859,544,311,112,956,770,894,416,001,918,981,440,
310,279,060,028,201,504,305,497,355,369,036,699,793,995,062,761,204,267,997,
592,569,266,632,157,807,067,395,662,642,700,776,593,767,876,912,197,538,383,
071,810,842,620,352,026,657,176,792,549,232,821,375,240,272,234,741,604,527,
656,891,053,074,541,853,840,632,719,924,010,646,864,343,749,254,578,775,085,
962,675,990,595,945,564,864,704,256,351,464,748,222,831,380,244,045,025,185,
404,939,445,213,758,869,542,337,812,776,085,651,156,906,407,274,538,833,143,
673,530,413,313,564,681,624,332,762,026,129,701,917,923,860,378,082,961,451,
506,673,589,897,503,653,287,405,902,908,904,832,196,584,622,478,768,078,299,
942,539,871,081,708,244,253,246,234,526,725,575,620,563,805,643,990,944,103,
792,865,793,653,152,108,473,010,563,347,050,799,763,462,184,043,766,828,937,
279,925,140,055,111,218,004,014,021,339,813,197,086,360,051,674,008,224,793,
221,329,788,080,492,714,188,988,540,569,351,629,566,839,320,016,356,875,805,
393,676,765,158,619,134,601,570,808,357,604,939,675,559,367,691,410,805,509,
340,742,418,852,473,870,209,586,251,896,295,196,108,113,012,923,051,879,928,
056,019,751,214,566,073,866,140,551,154,885,857,348,044,167,798,474,612,529,
335,369,000,019,221,680,527,139,100,996,868,308,550,203,814,780,136,948,167,
008,781,890,390,620,100,264,734,313,917,211,910,118,000,457,266,056,358,246,
260,574,274,025,138,742,346,626,057,976,576,996,114,797,555,001,176,488,872,
563,974,612,331,784,189,082,048,457,495,357,687,022,817,827,278,983,883,143,
332,440,014,694,684,337,609,248,346,453,274,629,972,469,643,266,932,824,937,
027,536,339,861,901,747,493,123,039,475,759,978,367,503,271,510,750,298,010,
716,346,011,691,718,680,702,383,542,864,860,298,868,144,783,822,810,026,148,
220,994,785,354,646,049,329,981,261,046,086,503,017,922,079,076,851,974,165,
317,352,400,753,050,706,939,959,482,407,347,063,904,561,935,113,349,928,931,
844,865,396,550,619,914,126,059,230,878,050,237,955,445,313,041,712,608,285,
389,888,251,736,229,013,491,407,151,849,465,829,953,981,572,709,097,126,798,
437,184,631,774,068,006,974,440,633,278,222,439,285,262,617,093,175,197,922,
698,658,707,405,806,977,661,976,772,854,769,098,871,225,540,927,073,551,672,
181,606,186,144,114,756,284,719,283,364,268,809,753,950,998,476,022,547,751,
133,038,134,323,554,568,839,398,634,007,255,398,967,343,476,877,042,723,069,
671,639,381,290,988,229,174,136,203,998,186,944,217,168,765,267,098,214,391,
648,563,819,156,475,823,759,924,031,557,997,360,730,210,409,784,372,491,950,
828,503,359,340,065,052,818,933,876,246,977,508,483,775,287,561,246,214,759,
920,525,779,051,916,144,304,687,737,636,712,750,455,272,201,010,003,548,595,
527,799,165,273,836,300,681,198,445,571,176,434,135,501,868,750,306,247,924,
160,245,735,772,462,341,839,582,416,498,638,284,053,408,157,599,020,143,840,
032,631,507,846,144,419,885,102,753,667,018,127,518,307,048,210,506,214,181,
569,187,972,930,544,248,056,632,187,009,861,796,164,604,296,393,602,682,786,
846,176,357,317,264,188,647,496,087,434,285,126,548,833,089,206,059,812,503,
691,147,695,321,122,377,280,911,805,079,151,391,383,719,773,265,563,458,689,
562,360,624,818,946,591,943,010,580,282,521,230,473,080,100,767,123,713,808,
173,425,636,420,086,394,505,458,591,252,784,989,476,964,884,225,974,815,296,
352,319,963,663,239,648,902,480,558,474,816,536,942,522,199,904,974,016,657,
751,527,861,886,962,247,082,788,899,649,526,083,581,149,615,360,915,605,126,
751,899,283,129,716,106,254,094,827,698,861,129,831,813,077,200,003,953,824,
221,398,561,351,674,023,333,553,986,789,958,780,598,552,910,120,767,588,988,
165,983,218,022,262,717,911,599,933,731,444,992,127,277,781,154,387,338,893,
977,037,758,640,554,831,722,218,864,221,344,275,854,865,878,087,641,938,827,
288,400,125,169,009,267,593,921,673,946,601,995,588,737,500,402,739,198,753,
356,880,988,782,849,672,941,858,758,191,297,409,139,002,272,137,427,853,427,
785,418,434,551,710,291,956,367,384,119,513,870,618,805,932,313,404,341,270,
430,163,618,925,248,184,091,184,897,704,717,718,511,240,248,913,244,305,199,
719,707,632,672,662,435,538,506,938,246,980,249,521,739,585,601,042,833,708,
187,519,125,986,847,452,553,278,715,559,268,981,292,103,503,467,762,765,990,
023,875,307,203,126,883,380,953,972,559,692,047,713,265,109,504,526,960,058,
623,099,668,863,214,334,749,097,774,641,982,545,139,486,054,037,160,121,802,
259,004,532,855,478,879,974,606,080,870,355,304,363,682,166,260,786,238,879,
620,722,616,764,951,888,614,820,853,663,622,183,633,538,373,937,772,313,268,
190,959,877,676,502,991,749,874,101,514,450,573,009,494,612,396,797,014,040,
743,730,308,715,810,010,714,316,391,676,541,418,837,755,611,938,247,482,478,
429,133,178,897,169,631,613,660,263,177,649,893,715,116,208,596,447,992,614,
412,230,377,944,370,687,327,625,912,174,398,688,137,026,674,272,077,405,337,
938,003,897,011,428,007,290,082,094,986,178,088,795,987,100,877,699,440,659,
335,140,504,025,016,614,469,040,365,377,574,716,692,880,730,961,839,340,640,
535,173,186,569,278,105,866,873,173,696,023,798,444,868,579,293,099,296,167,
846,886,112,174,629,996,114,750,483,486,701,909,930,887,060,897,516,393,400,
058,821,962,256,430,964,675,628,443,376,122,953,289,156,179,551,852,388,506,
365,536,431,246,141,867,177,246,476,435,342,378,026,004,298,870,665,063,804,
092,404,400,344,889,720,462,626,888,932,047,233,874,631,217,205,272,382,461,
925,917,310,464,387,882,029,118,768,091,729,779,847,261,553,750,730,621,386,
506,034,157,991,189,048,315,969,017,121,904,617,336,708,784,525,541,382,067,
787,905,695,852,995,928,853,766,160,025,828,727,968,716,716,931,510,406,319,
997,206,508,541,127,277,025,703,544,306,738,726,868,981,356,031,135,330,812,
283,131,093,814,326,168,775,429,616,682,327,056,616,569,806,654,951,258,056,
885,905,500,365,581,826,151,730,871,903,294,652,642,736,796,131,806,690,971,
570,389,909,591,866,530,957,427,267,618,061,118,241,205,191,081,614,856,021,
143,283,416,925,145,223,582,209,390,178,534,991,933,452,769,644,702,932,404,
009,063,776,124,403,577,417,398,357,318,766,641,798,239,614,175,488,018,642,
605,502,541,942,129,435,154,438,555,378,093,693,919,414,809,241,136,579,318,
523,012,400,996,425,435,056,113,900,215,597,703,553,007,095,205,211,196,482,
574,059,064,557,912,091,361,688,895,491,718,450,641,183,721,374,597,383,621,
391,431,312,415,818,777,807,142,125,014,001,006,610,765,011,677,890,860,680,
815,524,590,503,120,156,365,524,243,677,493,933,402,037,771,666,408,357,887,
281,203,606,694,333,888,224,295,915,924,966,374,863,992,277,555,917,284,774,
439,169,296,557,501,111,928,416,882,996,784,815,421,759,840,367,504,595,688,
916,478,713,390,703,290,630,107,379,615,921,732,563,175,171,735,831,950,059,
248,267,641,979,059,848,244,456,174,680,435,287,099,214,168,309,501,760,392,
287,540,859,801,264,983,590,717,310,245,838,164,821,639,534,658,373,856,687,
825,154,590,255,410,683,048,762,013,332,366,773,287,980,347,177,199,804,520,
345,264,279,419,169,831,327,669,707,614,989,908,508,840,324,694,284,034,513,
305,916,023,638,994,844,565,448,858,890,300,759,501,005,882,947,281,453,855,
806,644,548,998,225,528,225,508,760,582,426,541,096,048,941,621,647,119,782,
296,310,905,555,911,864,781,029,015,486,735,731,011,475,517,261,778,153,039,
917,871,175,579,152,859,985,046,074,340,000,873,944,590,023,263,183,586,162,
046,364,041,678,039,828,322,200,378,886,689,218,703,015,325,775,380,611,240,
848,688,129,035,093,930,725,928,885,691,736,178,952,285,709,089,982,895,031,
593,491,399,209,946,746,180,811,115,106,060,862,036,448,471,887,106,293,608,
487,821,341,423,710,553,898,742,698,053,916,852,098,813,318,983,401,658,060,
332,364,518,355,017,252,987,211,662,667,707,699,214,561,533,756,579,078,395,
576,527,969,298,531,776,076,618,511,958,956,579,281,648,275,780,460,370,108,
890,692,983,633,592,412,387,871,297,676,361,940,703,335,604,917,093,863,742,
862,289,696,060,186,912,141,816,976,668,059,782,428,155,735,946,650,228,964,
989,903,071,837,215,004,215,803,956,490,968,836,269,324,268,974,517,162,482,
006,506,923,696,969,619,796,737,503,856,163,180,608,764,100,309,721,975,300,
666,591,220,286,841,647,891,361,278,777,618,657,880,434,925,782,626,658,616,
077,134,016,089,290,126,447,314,880,864,627,955,904,176,699,152,511,307,961,
147,864,661,160,981,960,146,243,501,482,970,316,720,217,669,620,452,453,426,
413,376,763,129,533,171,040,101,886,532,357,185,197,562,836,798,327,263,931,
791,587,039,956,567,347,018,136,262,138,847,299,988,145,928,295,897,283,080,
754,979,832,697,261,152,208,012,381,235,061,847,041,871,500,057,527,087,554,
794,423,248,721,695,773,701,075,619,383,119,817,725,112,546,513,145,652,475,
304,103,827,235,024,525,912,009,272,552,760,687,014,377,964,876,159,096,084,
357,545,314,164,203,323,498,312,691,018,684,989,183,962,216,876,199,007,721,
406,163,751,829,686,431,900,689,274,517,548,188,473,616,450,778,793,219,776,
105,071,653,712,866,789,295,138,824,914,473,920,829,887,387,067,775,922,557,
491,294,847,147,446,904,308,299,656,691,060,183,293,221,662,654,821,148,110,
017,551,042,537,783,863,246,721,171,414,096,655,576,852,091,241,222,367,910,
756,782,672,821,337,740,670,364,685,585,588,652,195,638,616,675,799,788,756,
060,129,018,993,151,127,868,684,304,978,780,977,756,061,637,170,104,083,588,
692,386,694,740,189,177,397,158,283,485,267,225,799,303,491,044,313,086,013,
165,570,942,461,854,486,310,055,174,004,624,954,168,087,955,928,979,045,345,
031,079,528,262,769,460,238,092,926,694,044,026,213,031,304,497,315,845,068,
513,043,231,107,714,771,759,859,031,910,840,629,789,023,999,929,561,070,757,
985,179,275,858,503,885,291,626,398,582,753,124,316,097,157,816,365,982,143,
831,003,761,696,282,783,098,051,734,903,774,748,730,900,072,224,970,846,699,
997,064,842,575,184,873,136,449,288,999,767,968,079,657,478,220,158,939,755,
367,113,990,533,466,741,921,655,412,678,673,615,442,268,043,233,004,771,816,
476,937,523,558,957,732,008,706,091,173,704,061,126,013,656,949,042,101,790,
268,605,854,185,725,769,911,426,063,937,188,152,068,170,262,421,869,807,978,
568,686,664,671,420,699,325,188,593,455,322,925,572,861,267,150,064,033,403,
366,953,409,461,636,859,646,443,154,779,607,018,175,599,516,333,590,475,692,
431,251,800,446,641,300,128,930,486,550,548,948,519,567,727,903,341,035,573,
355,791,398,288,305,738,896,344,432,277,692,147,268,451,526,461,460,439,113,
703,378,932,128,314,340,645,598,585,517,397,942,706,192,463,289,275,875,185,
579,138,812,398,414,933,110,227,769,636,212,668,968,682,654,623,886,125,864,
929,128,241,153,795,612,874,729,243,540,117,354,917,433,691,501,161,285,994,
904,154,761,473,948,876,723,010,614,300,795,225,167,711,206,644,867,715,819,
313,845,673,046,371,713,893,664,334,612,781,105,098,219,904,583,441,050,093,
577,950,536,690,195,420,961,831,711,004,829,206,686,014,216,238,933,008,841,
617,117,845,057,537,163,966,806,968,302,705,750,198,610,548,765,205,024,024,
690,892,577,846,588,430,120,692,226,378,944,462,842,487,418,631,796,863,172,
618,207,586,163,659,322,927,036,011,154,590,158,320,282,969,688,629,297,921,
176,259,980,336,747,692,476,190,551,441,181,173,532,802,349,476,145,246,646,
464,042,018,349,903,830,174,877,904,400,793,571,720,837,492,039,575,243,082,
585,755,831,265,622,995,914,866,947,679,541,956,689,067,798,342,285,669,156,
316,089,221,718,330,675,213,552,987,645,126,762,843,221,204,719,375,571,826,
165,249,325,170,667,489,178,791,696,522,126,554,751,417,091,336,828,456,563,
295,424,008,291,397,861,570,035,213,129,391,773,120,303,396,272,450,916,173,
997,564,736,967,804,924,918,087,477,689,279,292,343,240,546,020,421,009,825,
260,548,553,995,181,466,282,365,375,201,422,018,038,610,675,866,831,612,969,
072,537,567,424,958,649,211,736,772,589,005,472,551,583,725,355,552,082,418,
644,811,269,866,739,999,217,353,701,427,046,635,626,458,699,568,052,719,147,
577,452,429,449,764,001,031,200,746,111,260,153,969,989,928,473,170,539,552,
404,995,846,334,596,491,315,646,287,641,684,934,298,478,465,407,534,461,897,
028,542,788,395,996,709,356,575,527,514,650,383,166,040,709,484,854,941,455,
878,090,409,147,722,282,985,802,755,896,768,718,941,835,405,996,174,816,079,
655,816,705,863,304,668,468,976,513,860,078,680,817,767,081,188,763,724,558,
564,030,041,113,762,240,502,951,110,106,967,403,456,526,240,427,124,334,868,
808,487,721,053,398,727,374,497,187,059,472,068,119,260,861,747,527,014,563,
313,415,376,192,647,355,810,607,362,612,914,845,528,556,866,229,461,800,782,
230,774,701,011,319,066,069,217,586,525,755,699,935,951,583,883,964,735,592,
633,690,037,825,595,145,228,951,264,393,314,304,539,599,381,766,822,013,670,
997,073,654,336,423,797,716,134,241,391,455,961,857,198,437,398,578,611,003,
796,188,759,863,330,006,378,756,275,030,345,787,424,307,117,937,241,576,179,
509,479,867,886,417,704,444,308,570,511,929,006,001,585,640,285,919,688,816,
338,798,051,461,484,582,661,128,264,370,415,830,445,602,047,646,032,122,750,
108,954,407,509,388,933,329,619,196,977,145,867,350,683,538,334,916,115,064,
913,034,785,029,745,761,384,852,933,678,825,704,921,331,380,809,415,249,447,
068,326,319,813,782,290,564,025,448,072,264,283,534,961,869,474,260,673,224,
239,373,412,789,943,338,025,570,082,109,498,905,802,600,192,536,664,779,807,
683,557,837,873,996,501,998,749,955,471,400,139,866,456,651,031,017,523,137,
691,370,855,095,165,505,594,601,664,126,423,594,424,731,332,860,644,797,362,
748,175,001,992,056,912,795,113,187,062,923,184,248,029,547,734,068,536,906,
952,468,044,129,156,097,743,800,488,029,171,635,130,152,261,866,840,239,438,
530,054,305,121,486,918,406,378,884,721,920,173,454,214,099,523,025,303,274,
489,116,166,111,445,831,332,746,716,417,475,628,290,649,137,229,885,268,428,
200,045,641,394,014,139,593,553,105,162,570,439,608,157,406,235,519,618,827,
043,139,576,459,046,457,851,546,616,618,165,633,348,618,083,583,141,450,902,
622,988,153,783,942,410,391,946,294,472,385,191,063,093,140,705,609,992,501,
229,756,253,332,254,605,773,243,564,529,192,733,576,303,773,657,449,890,897,
303,843,294,827,377,831,427,018,696,589,198,501,492,798,477,858,695,706,253,
982,805,006,291,002,049,309,239,918,345,814,167,301,101,443,764,371,805,636,
036,635,345,000,400,456,905,102,253,637,389,334,748,083,082,484,370,144,457,
196,474,236,616,576,287,290,169,489,110,623,437,958,384,562,313,815,067,398,
061,762,646,392,845,620,769,679,566,252,033,856,795,981,796,121,820,782,548,
357,827,523,294,967,098,996,394,900,382,622,572,057,703,275,525,642,862,523,
405,832,225,580,675,585,165,290,066,299,200,956,020,224,651,121,517,529,222,
084,009,914,142,120,552,143,404,251,513,088,534,174,820,126,277,410,903,161,
541,909,466,321,215,979,421,586,827,989,298,735,922,544,286,604,271,832,937,
771,344,273,141,799,752,079,426,279,420,236,319,101,318,196,476,787,913,511,
308,681,314,050,257,529,115,463,189,183,130,499,224,133,046,690,027,536,388,
806,620,697,392,398,013,244,868,369,797,625,824,867,288,575,501,210,827,593,
623,381,870,051,110,615,333,197,107,724,446,460,021,610,385,655,227,379,075,
650,215,008,742,022,914,628,273,615,556,944,036,340,773,307,364,333,892,761,
465,376,585,849,957,308,294,451,084,718,217,702,273,085,058,506,709,323,509,
235,496,065,922,070,502,543,857,185,643,371,094,403,543,375,104,292,469,562,
689,760,065,637,656,721,252,099,848,381,784,085,332,610,510,121,903,999,020,
738,981,828,962,119,408,067,051,609,331,161,441,781,079,683,952,488,615,944,
773,115,398,720,900,062,433,434,289,462,393,775,575,163,465,358,491,536,659,
109,445,190,431,809,404,678,149,505,308,500,729,082,321,932,747,565,565,639,
655,317,662,104,579,032,525,095,139,045,231,943,551,783,505,875,286,769,077,
135,687,645,801,435,948,398,215,163,309,863,894,839,248,582,442,516,075,162,
607,825,292,457,794,722,852,711,212,624,236,426,620,696,741,755,557,019,172,
772,362,378,038,812,124,126,712,963,654,693,339,461,907,101,687,200,076,365,
268,900,546,587,692,870,718,635,743,582,666,966,576,044,458,633,256,133,864,
621,883,810,528,097,075,658,122,324,041,490,858,472,450,952,413,043,809,970,
668,366,958,812,620,845,866,578,686,146,875,160,253,007,746,396,155,590,523,
506,227,709,671,414,916,240,029,997,020,169,097,832,897,168,079,303,033,334,
121,983,737,012,910,692,088,916,801,613,204,865,883,336,410,475,844,481,107,
355,622,528,307,503,760,112,285,207,901,190,899,547,247,180,076,565,022,585,
856,709,005,464,342,889,733,971,575,652,179,790,936,116,360,812,878,408,534,
831,980,757,626,286,711,002,553,879,787,318,291,390,990,960,808,183,740,920,
784,196,650,485,873,402,686,925,986,504,192,120,948,964,174,592,199,474,372,
674,372,170,874,789,015,584,190,861,200,214,353,266,233,364,981,014,584,582,
823,028,033,270,852,332,051,822,125,531,466,080,702,185,462,099,896,583,429,
022,007,531,083,197,357,533,178,702,462,004,946,176,127,427,992,397,492,132,
161,741,835,474,137,919,619,615,608,059,909,569,455,966,702,616,033,121,422,
372,158,160,878,201,894,436,112,191,797,531,362,210,053,276,586,743,848,303,
413,144,981,511,571,817,241,294,715,836,402,570,104,905,647,400,931,150,672,
493,746,549,186,692,112,039,135,577,527,974,111,063,556,451,762,492,210,254,
097,892,652,750,247,632,017,258,822,218,935,955,584,649,966,311,069,095,561,
943,606,161,106,052,603,979,694,588,742,142,462,344,504,159,615,479,685,379,
670,645,362,696,700,169,906,054,404,975,861,823,273,293,812,247,404,075,318,
119,897,503,438,733,777,399,587,181,294,306,976,961,299,941,182,172,114,477,
167,293,032,760,793,667,087,584,862,006,229,746,777,132,152,001,216,596,075,
923,443,468,762,783,831,251,741,998,638,556,699,878,823,644,063,458,714,452,
215,342,467,177,834,152,254,034,111,303,871,270,541,453,327,795,232,709,233,
405,482,799,500,443,362,606,116,118,673,615,049,052,215,748,960,393,160,457,
505,994,718,622,801,395,597,596,981,027,695,230,976,686,254,897,328,160,755,
484,273,741,860,684,930,492,185,948,621,275,694,770,716,700,411,619,191,116,
255,436,912,749,458,755,823,851,097,604,991,372,744,843,126,701,792,556,973,
354,494,075,650,033,877,063,375,061,447,766,789,043,220,156,921,107,922,480,
216,823,897,161,900,744,797,393,184,257,474,673,673,270,505,195,548,930,244,
995,138,438,691,141,743,350,492,078,251,244,163,950,874,607,820,954,125,018,
812,806,211,168,162,471,506,285,559,673,311,761,571,103,829,431,762,175,543,
313,513,656,299,821,571,152,209,398,631,546,115,952,575,391,843,438,752,490,
006,768,681,052,989,239,397,382,669,864,442,102,562,611,138,414,975,932,465,
466,476,650,865,620,676,459,991,874,648,032,931,898,790,647,676,392,180,581,
372,815,874,738,847,766,384,736,562,407,635,983,227,281,899,667,442,220,139,
735,515,244,114,226,055,631,059,062,952,844,771,060,982,842,929,261,147,473,
247,364,876,211,493,631,317,491,510,101,415,544,026,008,764,236,440,551,630,
752,645,675,492,828,974,622,194,908,867,993,076,561,688,879,308,766,839,275,
537,413,139,330,715,277,411,140,951,947,489,675,228,085,451,604,096,981,773,
298,537,178,608,390,808,073,939,489,127,005,749,122,205,257,268,496,722,322,
294,368,901,416,427,530,067,142,408,647,894,530,659,337,880,460,369,608,900,
262,073,582,018,183,066,152,854,825,899,491,498,789,300,136,899,159,487,333,
161,249,499,481,189,154,404,912,004,856,534,203,643,177,526,628,968,886,692,
801,496,463,621,756,552,205,997,655,581,365,877,451,848,412,233,264,117,490,
662,229,150,330,432,930,581,167,734,361,863,769,883,410,693,029,761,296,619,
492,151,619,345,250,980,705,933,014,681,196,373,307,971,886,497,117,543,630,
746,504,468,635,926,533,663,493,107,100,075,436,024,226,972,875,765,633,656,
483,788,218,322,741,439,361,272,946,832,484,129,969,688,781,617,561,170,991,
787,958,570,774,392,749,938,683,651,499,267,303,200,041,516,108,747,617,396,
618,244,030,437,383,391,923,526,774,365,590,482,881,627,579,315,944,353,693,
270,789,574,653,737,217,446,098,735,847,335,754,810,803,088,628,991,908,895,
946,900,586,634,122,694,438,674,698,980,876,803,923,051,926,444,557,676,957,
524,056,236,649,293,988,583,372,404,424,178,545,959,899,294,585,947,274,969,
215,996,403,585,896,844,953,618,562,064,388,950,638,238,168,433,670,159,500,
036,155,909,793,330,910,928,477,362,334,359,965,045,927,458,178,493,677,554,
700,087,530,570,286,237,187,969,424,805,608,029,133,259,691,297,128,993,850,
891,959,623,752,004,600,760,880,677,653,899,037,268,387,932,423,576,532,221,
654,394,511,851,051,847,527,445,462,824,947,754,696,632,285,030,665,418,894,
349,123,675,605,028,254,901,217,956,805,051,068,938,477,987,752,914,446,941,
729,055,080,252,951,424,296,559,955,425,789,041,908,393,916,025,102,965,329,
448,975,110,485,978,950,054,546,996,278,261,650,721,176,228,462,205,176,425,
602,257,586,988,514,845,279,474,258,242,162,446,682,582,252,386,332,489,641,
319,987,062,252,129,810,946,536,586,957,335,571,707,631,944,377,802,343,602,
527,585,525,601,605,753,947,214,479,111,135,535,026,818,055,383,452,624,791,
536,816,885,540,440,368,909,964,624,267,479,772,884,274,117,290,043,766,172,
699,128,555,332,650,495,549,931,615,572,496,851,450,202,346,675,018,684,971,
862,080,681,333,966,892,388,537,190,437,459,166,812,618,151,138,819,702,931,
269,716,167,174,116,277,876,222,057,200,521,158,151,829,115,066,157,784,420,
333,514,335,465,141,514,399,539,227,122,213,024,654,494,633,411,242,967,547,
418,489,166,141,750,901,531,588,351,895,839,624,810,399,732,593,786,736,530,
438,692,306,313,572,365,910,155,301,701,215,867,023,403,022,645,294,170,621,
332,576,428,833,936,297,407,989,227,255,068,242,352,781,339,572,776,608,938,
857,549,895,846,765,012,954,048,933,357,180,469,349,915,398,342,429,779,540,
357,383,885,929,573,144,683,444,319,103,264,834,533,584,120,403,482,103,460,
775,674,611,549,603,101,504,351,830,751,881,260,760,982,784,003,791,668,185,
156,579,755,817,289,833,002,799,877,256,609,418,617,551,808,376,321,720,075,
809,102,296,070,033,444,424,891,248,113,747,496,500,816,771,295,360,690,131,
072,384,341,442,828,499,138,979,676,745,851,860,747,542,717,746,840,746,677,
684,840,241,363,322,189,351,839,943,473,285,836,863,097,579,050,169,736,046,
990,499,264,842,562,773,058,766,467,954,765,539,930,374,197,633,201,861,588,
092,377,770,284,111,089,363,137,053,979,711,001,949,212,553,984,275,866,192,
278,591,525,634,610,944,973,433,036,991,850,913,289,703,147,824,668,086,942,
034,764,355,501,146,661,064,365,257,754,541,143,240,034,292,684,849,503,726,
276,533,913,175,906,828,746,667,877,965,409,795,134,779,119,086,440,790,617,
222,274,731,954,403,552,847,498,049,377,597,996,288,356,196,371,183,855,206,
302,007,040,036,659,249,466,791,137,637,063,799,235,461,243,224,030,758,878,
433,738,961,744,194,477,990,118,396,568,368,186,499,189,193,731,923,548,837,
672,265,745,036,625,999,948,173,956,091,060,731,756,667,549,070,043,229,716,
346,987,180,805,165,734,986,127,738,925,144,351,589,187,705,965,070,101,335,
090,069,149,473,854,044,518,136,768,347,837,152,288,932,201,173,547,504,487,
619,779,535,310,125,390,868,936,499,353,980,752,792,771,784,126,791,343,352,
247,528,891,054,932,746,256,190,808,861,371,851,673,359,617,219,996,825,795,
012,484,350,028,631,771,838,803,356,137,781,090,996,952,996,300,389,817,698,
453,666,582,021,111,706,397,102,496,713,230,511,008,116,281,740,125,981,690,
138,706,772,277,134,696,491,133,568,669,115,818,658,217,350,186,023,249,262,
494,804,316,970,568,910,782,590,265,959,158,115,144,544,968,144,845,495,527,
444,509,212,936,196,540,794,880,729,747,417,407,661,866,878,433,142,178,340,
779,498,181,358,512,113,157,090,881,807,100,258,817,066,055,386,225,600,209,
349,465,558,174,107,416,826,550,012,932,294,889,350,555,769,799,628,695,008,
081,548,775,961,038,367,530,094,778,219,847,022,818,114,745,109,072,784,903,
897,640,942,405,677,736,267,352,510,745,259,100,536,281,793,349,289,151,824,
716,448,598,788,838,650,961,923,489,532,760,944,743,674,613,139,879,915,499,
728,244,265,777,006,112,771,968,625,307,198,855,254,859,620,548,310,395,438,
005,442,979,230,934,362,918,928,020,488,371,607,810,815,161,799,090,097,766,
833,340,864,194,683,707,058,971,577,261,258,827,401,716,922,706,703,575,548,
601,807,817,095,247,086,509,018,609,937,119,861,774,599,967,917,525,260,370,
256,250,692,429,151,187,908,121,879,092,488,187,357,085,362,856,336,309,884,
893,358,183,484,579,576,333,015,658,870,972,764,176,247,824,143,362,719,218,
645,158,645,160,385,049,370,775,879,198,915,211,045,996,987,845,711,978,662,
576,527,720,584,241,422,477,695,070,674,202,467,558,386,164,547,163,780,901,
592,711,751,248,850,355,002,042,197,067,983,333,495,421,758,968,753,246,293,
595,117,258,931,822,804,999,581,357,211,740,360,837,686,611,411,429,829,511,
232,257,437,279,376,045,870,165,059,931,829,347,528,886,625,328,036,996,292,
065,432,401,838,930,061,100,439,703,072,877,260,898,471,304,918,111,111,304,
840,822,868,136,602,908,559,603,969,429,622,941,256,138,858,050,054,561,653,
652,076,452,415,869,980,844,465,584,363,565,644,323,796,109,510,421,164,846,
246,050,317,758,630,502,836,566,605,060,275,329,621,763,626,656,138,345,097,
614,850,067,987,581,558,525,022,078,287,708,730,417,241,339,199,001,975,495,
487,154,074,118,361,921,645,604,196,783,924,821,904,503,018,872,329,461,081,
613,013,734,362,834,286,749,865,328,953,508,540,251,331,591,485,439,261,892,
718,807,949,523,944,600,251,446,118,867,969,277,096,273,394,629,317,506,585,
971,583,826,446,939,992,073,220,529,861,800,275,895,971,017,754,048,073,268,
067,228,427,359,948,409,828,996,953,988,681,438,699,887,995,969,979,819,379,
041,484,622,680,178,605,308,061,178,077,151,705,029,580,685,993,635,723,401,
802,622,282,708,056,459,290,723,151,400,183,711,149,507,020,781,658,729,421,
727,314,914,853,821,985,611,032,461,971,504,907,503,056,842,712,895,608,628,
086,346,415,027,344,033,907,129,175,772,135,454,846,223,345,294,220,877,283,
539,323,456,899,287,125,982,114,083,467,532,397,259,407,320,470,831,780,474,
831,753,338,857,242,575,977,920,041,633,836,536,448,289,351,343,076,553,069,
311,011,790,082,079,937,599,672,162,742,240,649,340,779,558,186,578,536,775,
781,114,103,379,878,017,659,711,379,090,919,765,665,322,026,417,187,664,468,
081,522,474,430,756,298,275,115,572,952,334,200,774,484,329,896,773,749,979,
462,321,937,562,128,044,830,901,428,107,947,952,803,399,028,845,285,360,642,
849,239,432,338,930,823,429,389,139,785,837,490,297,121,326,010,601,310,495,
075,607,009,672,164,963,964,934,302,629,443,905,946,545,613,791,946,604,006,
780,686,172,562,010,619,375,715,134,602,235,809,268,991,921,038,700,537,784,
314,745,466,105,063,060,435,898,464,487,023,227,281,432,372,277,168,492,345,
665,958,199,635,240,851,515,480,317,015,550,340,438,488,324,321,449,002,950,
306,567,910,170,491,287,654,144,285,701,766,185,476,683,780,953,459,546,918,
285,623,167,335,879,560,818,850,858,761,229,931,570,670,312,128,828,917,541,
001,727,179,856,620,100,654,080,710,348,312,041,328,444,668,538,678,819,607,
343,576,757,071,573,896,354,729,132,139,449,708,264,278,448,220,512,152,041,
205,573,360,969,076,460,418,283,981,640,338,986,564,370,115,206,156,999,848,
277,965,228,050,394,398,109,555,751,172,996,898,004,156,413,813,928,433,735,
211,800,633,698,811,604,649,640,750,674,320,827,700,631,673,557,768,039,992,
762,267,701,528,592,452,417,643,432,055,759,523,575,787,545,414,357,245,981,
176,490,263,536,974,849,918,569,684,846,345,544,431,895,169,268,238,052,247,
178,054,489,637,686,250,029,323,389,710,560,519,350,305,674,262,340,318,053,
326,704,604,235,488,474,791,125,461,466,010,214,180,712,188,632,693,705,837,
034,653,082,372,877,821,876,956,814,438,541,198,997,982,116,645,465,361,441,
654,553,618,269,208,403,700,950,881,605,602,355,493,448,246,602,935,531,855,
183,288,015,607,983,546,247,172,964,025,658,942,862,569,593,432,312,918,013,
323,644,092,130,739,543,831,829,777,506,922,069,040,542,321,851,182,659,963,
970,651,525,210,669,026,758,491,448,120,901,962,920,659,677,201,980,559,405,
609,110,679,905,419,506,793,671,268,283,212,656,990,436,166,726,082,968,911,
971,167,439,956,624,332,826,484,780,741,294,921,896,765,055,390,304,325,617,
013,308,285,846,686,156,912,941,216,968,501,630,047,942,579,120,199,391,588,
010,325,208,147,486,462,589,703,281,365,992,745,467,180,652,099,876,297,673,
934,931,078,070,515,026,560,845,394,304,044,982,094,051,884,481,002,417,179,
478,642,264,523,533,873,376,712,324,370,645,285,797,447,424,081,736,688,763,
867,607,522,924,181,822,732,573,045,944,407,560,456,019,855,635,476,153,967,
316,033,803,403,790,424,130,581,773,696,116,960,157,332,139,953,736,859,911,
971,617,713,893,838,164,005,372,419,790,803,269,534,816,206,857,064,118,588,
814,577,964,356,006,327,475,075,481,073,234,456,489,660,632,288,945,745,124,
621,691,824,839,314,410,694,406,160,803,762,403,540,740,647,634,812,456,827,
076,791,045,732,680,344,081,004,986,920,859,453,267,229,709,825,035,567,226,
835,447,722,738,973,022,074,454,715,264,130,934,401,312,184,476,248,565,615,
178,594,306,297,000,955,267,957,121,010,626,041,215,696,820,396,821,990,220,
051,208,899,098,614,578,251,565,998,648,207,909,611,161,767,314,762,732,502,
873,779,204,642,711,021,848,491,256,128,452,030,457,267,760,594,744,493,674,
034,448,116,702,461,199,054,424,745,905,137,592,814,627,881,627,083,671,228,
432,817,693,332,257,262,251,996,037,441,765,239,212,035,701,122,095,342,781,
947,288,330,090,332,036,724,013,936,688,366,999,162,438,108,656,779,074,687,
035,836,100,315,087,754,748,104,004,449,267,621,319,197,621,819,404,545,403,
756,270,926,423,417,355,908,110,157,555,728,236,938,398,686,316,963,154,244,
242,019,734,205,630,718,544,992,937,943,595,454,769,768,861,086,756,176,406,
757,783,315,241,645,877,249,842,341,098,200,651,144,368,411,200,423,673,931,
850,508,741,261,117,377,977,788,667,927,589,301,747,696,920,718,813,374,259,
083,117,651,161,137,155,655,106,257,564,974,183,128,148,081,445,947,928,140,
078,284,744,237,151,217,059,474,622,310,169,987,916,574,511,913,725,225,198,
927,208,478,903,460,613,263,489,885,664,400,905,257,972,710,978,143,052,225,
647,301,499,289,736,960,014,759,121,820,953,048,373,891,272,926,221,280,514,
668,239,888,460,504,908,880,127,031,958,848,478,578,289,546,191,841,455,251,
966,898,576,113,402,137,148,984,994,191,262,631,588,391,789,951,625,003,515,
192,977,357,635,928,757,161,769,773,592,536,530,883,790,555,044,626,476,864,
190,893,152,976,857,741,069,641,794,409,761,012,737,972,241,221,760,846,638,
313,166,840,022,592,795,915,024,880,530,582,590,839,149,992,136,576,708,144,
440,024,802,920,676,872,324,780,902,104,664,104,952,338,473,597,359,605,421,
312,065,029,241,088,981,797,182,877,456,145,819,942,189,683,747,779,262,728,
797,377,886,918,073,617,580,241,445,818,320,528,212,373,413,494,960,065,633,
958,027,043,885,935,980,561,472,211,252,523,423,212,370,272,800,565,095,467,
240,959,776,039,838,731,544,106,753,376,887,396,921,979,967,503,344,658,110,
898,330,343,232,608,132,164,319,707,843,831,471,375,274,783,242,417,088,418,
829,210,420,717,472,813,276,900,127,964,352,083,425,599,435,951,316,156,073,
826,319,819,093,611,343,848,989,080,431,288,196,318,680,393,262,494,861,196,
181,086,857,032,814,794,398,860,978,962,245,234,960,039,573,666,265,423,789,
705,577,143,131,892,587,813,409,114,485,015,058,616,955,499,362,133,712,607,
252,393,657,154,723,409,097,367,644,142,459,526,249,846,585,226,445,250,085,
731,832,869,202,567,747,233,811,918,558,751,867,557,899,661,946,918,487,367,
587,952,636,390,683,293,314,253,453,857,079,773,654,470,324,914,126,202,628,
657,505,592,938,875,536,301,659,322,942,779,605,401,174,198,378,847,506,561,
562,681,503,192,221,746,779,100,507,459,016,696,628,295,665,660,666,891,430,
558,608,095,498,749,567,564,665,081,778,470,371,127,019,900,037,020,848,752,
950,645,320,920,642,806,622,071,094,999,436,233,309,071,187,272,837,438,850,
201,907,849,162,383,550,334,573,874,352,089,985,203,637,710,374,029,438,157,
158,849,266,799,715,961,573,772,507,127,233,280,634,726,890,554,329,245,781,
941,433,236,688,802,149,359,176,300,116,874,760,198,022,566,695,017,023,800,
158,515,047,571,800,988,754,042,458,162,468,183,529,371,044,243,634,677,243,
120,978,556,509,381,742,547,020,767,674,077,253,639,330,690,503,092,221,455,
778,090,000,655,980,190,228,751,736,097,256,571,578,982,279,109,061,026,108,
918,970,413,029,566,473,541,783,082,364,969,086,607,139,215,378,974,378,754,
719,106,795,275,903,250,095,752,816,253,114,294,953,993,935,002,380,897,673,
179,912,236,120,473,872,440,459,873,975,042,906,965,648,937,232,751,281,491,
981,522,654,317,312,469,663,097,647,003,661,696,113,708,916,489,062,618,555,
516,324,240,332,466,228,470,245,568,368,089,769,567,067,955,320,684,165,537,
796,131,700,842,484,960,690,504,726,505,864,228,118,337,043,728,998,907,379,
157,234,812,979,101,248,733,326,608,163,654,019,979,549,785,086,850,971,322,
004,500,341,555,154,862,421,159,960,736,663,425,230,728,656,412,197,157,211,
786,976,749,300,007,339,609,958,391,786,079,021,808,870,572,956,374,706,311,
900,950,978,870,159,984,561,939,819,368,144,824,264,261,807,453,419,682,147,
943,880,901,785,779,850,827,754,400,369,853,149,732,377,494,896,613,960,782,
336,048,871,121,684,820,108,741,960,961,628,824,969,735,432,180,887,752,587,
327,986,483,187,097,088,767,968,683,990,118,651,308,861,893,149,332,294,966,
104,576,655,596,567,735,295,029,331,886,764,905,287,871,476,821,996,702,486,
656,501,660,782,114,764,900,670,113,216,578,383,691,344,383,879,887,635,725,
216,583,361,470,674,851,347,357,274,191,821,742,324,219,116,127,197,758,106,
386,840,801,248,685,609,900,077,776,098,957,990,860,529,867,179,925,647,553,
682,584,802,471,275,465,048,336,426,284,308,593,869,514,879,396,243,600,219,
895,701,149,248,013,409,001,762,889,702,849,596,666,959,428,508,985,882,029,
372,303,282,703,579,836,858,191,463,698,020,116,390,099,457,863,945,370,338,
822,133,674,257,621,079,435,165,558,491,042,920,139,346,041,847,547,412,419,
814,733,736,377,081,118,462,420,775,703,291,952,770,858,270,829,083,666,841,
442,446,494,837,414,737,602,592,356,199,942,971,502,438,325,992,445,358,335,
083,213,507,255,161,004,213,876,866,719,747,494,932,525,330,227,517,525,105,
579,430,703,902,887,619,437,061,633,324,924,462,494,649,383,170,286,421,284,
583,954,376,623,970,551,894,914,038,027,834,725,086,346,820,595,017,449,632,
118,458,890,537,231,382,047,598,144,190,198,722,266,641,041,585,973,823,419,
162,901,224,800,991,019,831,611,912,905,587,031,986,233,942,743,586,008,923,
207,757,981,185,134,990,834,128,947,152,236,038,252,099,678,701,915,637,850,
863,559,854,792,232,945,846,301,987,238,026,492,629,666,952,895,925,663,291,
428,006,502,453,690,192,775,634,018,407,636,216,271,042,522,043,194,314,660,
462,211,326,577,584,146,497,961,934,273,711,617,503,844,657,576,163,932,677,
335,760,418,217,806,688,557,606,779,450,560,886,515,154,692,070,415,137,658,
631,366,687,390,472,730,731,284,066,240,215,111,773,989,890,453,332,866,010,
115,808,132,579,741,018,606,569,478,198,911,719,363,783,523,816,920,088,593,
100,736,422,117,222,401,931,805,996,238,077,641,874,705,356,887,230,940,029,
803,340,373,292,297,402,092,064,069,544,061,446,718,243,857,173,466,871,715,
047,597,980,309,812,252,102,794,744,150,607,083,849,652,701,810,773,257,691,
438,654,951,970,762,787,707,307,937,582,992,598,341,457,675,251,640,045,630,
656,059,120,490,236,540,511,432,997,986,620,667,747,400,683,691,465,946,520,
544,098,265,729,553,066,107,068,293,968,688,494,017,790,325,827,151,725,566,
072,914,744,686,661,357,255,526,230,976,535,981,257,445,715,415,765,363,637,
555,455,219,507,681,074,421,235,280,420,751,224,773,046,219,436,047,975,555,
450,209,359,163,761,088,327,669,690,058,888,147,851,669,803,019,745,838,878,
139,983,120,406,829,946,620,519,631,923,939,761,691,911,243,438,557,287,670,
461,125,264,258,697,094,768,404,882,959,828,048,852,163,560,917,173,065,941,
860,334,010,940,209,471,347,253,122,931,962,585,272,315,387,338,662,779,807,
038,127,663,608,632,985,575,449,588,791,312,906,797,351,659,232,086,679,507,
799,766,050,486,487,754,343,127,224,667,063,106,889,710,946,265,194,836,794,
737,228,212,585,921,862,208,790,769,586,972,687,997,032,497,827,800,764,229,
253,496,115,814,345,158,307,372,726,105,286,002,987,802,480,948,574,919,414,
676,258,268,177,812,711,740,268,713,932,903,404,185,960,910,716,237,046,474,
808,357,810,838,934,755,373,880,742,163,848,233,855,401,229,982,656,012,907,
679,429,653,589,980,666,821,068,689,479,942,235,324,381,512,577,765,752,555,
665,490,171,774,157,379,885,965,365,184,030,564,460,458,581,725,538,403,962,
501,672,141,608,206,752,263,971,712,651,457,287,439,584,026,301,582,195,856,
622,011,316,865,554,530,972,046,013,698,523,557,913,729,650,566,877,829,135,
844,741,670,645,419,424,247,263,336,404,153,744,667,018,210,129,117,416,648,
108,129,448,283,773,889,271,765,933,729,920,076,042,544,597,012,359,377,439,
264,222,788,581,182,746,228,417,283,029,984,352,563,321,331,133,975,739,270,
364,268,539,975,262,815,932,512,078,618,166,092,553,097,232,033,411,547,631,
948,634,338,450,849,752,215,658,930,298,652,719,839,759,133,641,858,598,426,
695,848,211,834,836,739,479,766,414,805,441,743,473,458,343,602,297,401,249,
624,352,512,348,284,593,518,274,664,139,008,183,388,295,755,924,788,590,588,
330,787,255,287,466,828,503,204,277,830,572,571,612,331,405,979,171,229,381,
300,611,153,989,570,027,073,767,741,884,215,578,589,269,650,185,674,589,602,
747,491,994,727,572,113,242,439,106,467,152,935,925,986,803,953,794,553,350,
591,204,703,172,647,557,907,101,554,932,498,779,354,646,347,482,075,169,592,
659,836,951,057,127,662,065,236,787,836,248,022,430,005,289,330,912,849,294,
567,984,678,791,965,328,994,556,389,948,577,073,525,473,875,699,350,541,633,
409,857,716,707,627,479,907,895,405,008,979,832,564,629,448,014,063,145,416,
136,317,950,590,019,277,323,863,844,208,124,901,021,673,635,631,992,395,449,
549,892,049,105,555,638,580,998,535,073,062,858,324,730,550,518,434,239,610,
669,483,206,280,210,909,711,429,377,755,717,251,174,591,300,138,041,202,721,
948,521,310,655,541,699,807,532,862,715,999,373,744,713,976,233,146,905,369,
540,490,836,828,902,758,308,675,324,022,584,755,406,802,723,071,745,640,380,
128,223,229,201,634,798,085,303,162,898,484,914,771,525,972,441,149,615,810,
961,335,137,503,400,625,369,727,161,224,712,023,007,649,048,062,097,175,383,
914,047,663,532,510,306,333,902,512,495,499,685,755,087,957,413,885,738,828,
908,846,872,407,209,864,335,068,047,780,410,964,571,382,777,817,017,548,532,
282,708,437,092,744,241,255,953,422,561,137,591,497,092,882,438,609,566,086,
487,229,192,271,421,582,523,683,650,439,065,091,686,536,017,014,405,351,624,
939,295,103,598,369,006,825,571,189,353,910,572,337,661,519,513,365,135,593,
599,240,038,452,319,946,811,648,846,377,726,772,709,056,504,013,583,680,712,
920,938,642,647,102,980,282,339,471,295,313,242,740,348,004,845,686,944,618,
809,376,460,630,968,230,568,615,723,530,640,707,723,717,951,928,696,942,797,
140,934,179,291,186,831,772,620,911,077,761,414,224,474,765,988,274,263,979,
219,157,927,731,868,618,213,949,762,621,026,145,189,961,059,300,718,679,596,
331,109,461,525,630,326,143,695,601,087,722,812,835,990,687,365,403,488,566,
678,119,973,643,985,874,758,757,620,906,580,038,237,423,847,972,799,458,553,
303,806,356,173,785,910,045,009,782,777,358,060,038,242,015,238,271,569,365,
542,167,926,734,898,514,873,681,180,098,424,841,820,577,376,824,961,309,441,
990,884,787,450,218,389,813,407,499,402,436,650,428,478,298,141,448,743,762,
558,774,571,921,949,899,627,161,240,728,125,092,572,770,827,978,187,744,121,
429,609,389,159,923,247,781,062,851,114,650,018,384,669,422,080,883,515,351,
664,246,276,613,655,781,367,900,236,215,395,673,685,646,439,306,805,404,384,
689,198,420,051,254,728,185,362,847,824,625,527,098,460,755,028,474,847,234,
991,165,819,801,700,861,395,140,006,466,376,139,673,356,410,039,357,640,089,
505,444,984,889,104,402,502,123,357,793,061,916,694,886,253,176,291,342,452,
446,481,285,408,031,804,402,526,083,165,696,847,462,787,897,827,661,787,009,
722,986,103,340,276,041,732,126,761,162,695,156,389,327,770,063,068,977,256,
060,623,533,797,976,748,236,032,601,947,601,738,576,587,872,780,874,213,505,
312,154,275,709,940,220,907,291,483,593,748,620,964,792,178,853,829,735,753,
930,576,081,968,128,822,371,038,899,396,415,992,007,406,524,566,905,966,283,
350,736,477,839,481,391,959,553,211,465,038,435,729,110,923,802,289,646,776,
918,047,899,060,011,440,474,635,290,670,643,105,273,813,891,380,226,742,229,
227,988,503,890,009,491,669,064,974,601,609,798,421,658,305,753,732,826,541,
573,946,842,037,163,853,844,724,450,360,635,422,122,747,359,609,000,605,125,
814,671,789,338,597,480,577,422,932,359,785,991,609,947,363,113,652,846,590,
536,943,953,054,802,593,464,206,149,475,874,242,340,569,867,791,181,166,044,
255,309,049,513,268,111,283,905,680,727,101,795,281,871,375,099,030,706,063,
541,825,022,588,202,615,315,317,729,248,315,778,285,674,617,517,042,424,154,
265,829,838,796,168,502,189,656,164,771,692,645,272,109,204,185,648,915,633,
646,451,069,543,276,239,090,138,900,900,062,691,377,109,317,642,512,815,470,
840,627,918,240,033,684,596,240,279,533,056,490,956,770,198,507,663,429,982,
548,540,585,385,077,115,462,032,724,556,302,727,727,141,320,390,148,186,649,
646,401,670,123,225,082,841,623,628,021,229,004,315,430,393,490,732,742,271,
904,056,587,555,907,145,946,009,698,484,159,354,565,446,298,772,886,879,663,
687,336,885,013,541,034,122,045,752,442,633,243,059,397,498,366,016,923,307,
928,034,725,016,599,840,277,706,958,348,921,747,645,291,564,657,449,488,586,
346,447,624,586,385,317,051,873,503,246,359,672,751,288,892,586,908,878,086,
010,713,284,567,604,462,777,126,991,070,742,545,259,542,605,531,956,470,734,
522,598,575,362,678,846,666,513,590,676,124,434,553,510,021,869,900,785,958,
792,280,177,589,982,676,165,238,723,853,768,401,134,499,852,275,190,581,208,
052,171,105,741,548,938,293,897,450,522,267,564,191,859,665,468,579,947,536,
835,969,961,405,699,365,876,762,070,816,422,376,658,384,824,333,095,858,705,
595,595,408,522,485,049,434,243,970,233,144,403,294,555,242,091,425,629,322,
130,793,900,223,334,588,616,420,432,476,963,345,118,837,737,831,398,403,004,
067,517,854,147,395,540,710,698,330,344,718,992,663,138,000,902,914,720,607,
584,589,607,400,090,397,029,298,904,988,065,616,848,530,723,209,553,946,781,
992,753,005,119,155,941,733,984,923,092,444,849,020,148,285,395,449,343,952,
832,601,363,578,532,334,833,986,791,842,972,045,692,780,898,599,716,880,818,
774,214,315,801,542,501,222,004,879,748,973,291,105,542,869,592,349,794,439,
569,868,794,646,312,664,077,792,786,215,392,438,933,341,326,500,553,696,733,
641,338,637,786,738,010,000,925,930,513,512,254,880,588,945,902,263,758,246,
932,823,868,848,084,140,281,360,695,291,797,698,138,634,756,772,543,038,772,
685,433,119,263,766,993,330,421,839,622,719,838,224,833,074,856,321,781,985,
929,455,167,814,844,737,377,342,573,959,442,903,942,786,834,150,601,632,659,
008,437,534,194,098,929,565,683,331,503,309,971,664,829,829,104,409,908,317,
076,500,675,347,029,624,256,970,194,440,547,215,242,057,882,164,343,066,574,
063,476,588,421,296,940,899,179,692,003,682,498,862,519,285,701,172,381,667,
871,246,479,585,546,503,132,902,015,239,042,792,980,577,552,604,621,227,934,
904,517,174,110,586,707,204,079,106,003,855,042,971,058,858,553,096,879,451,
565,960,697,632,879,048,619,089,645,225,960,078,820,429,315,039,290,744,006,
894,167,124,853,679,506,177,867,533,082,990,132,188,961,377,815,301,582,202,
310,227,885,158,406,718,222,172,733,728,290,698,598,282,245,527,800,975,383,
289,543,025,597,500,115,451,933,602,264,201,454,206,009,552,183,080,074,647,
656,798,735,400,490,913,149,976,899,797,954,706,205,731,072,646,306,458,760,
410,320,099,513,712,044,824,950,890,086,689,926,624,214,908,783,434,566,296,
782,886,118,298,969,430,632,456,441,970,049,382,948,129,441,070,159,368,848,
199,848,581,444,784,577,417,135,536,341,730,627,669,168,759,557,922,506,610,
955,031,343,563,283,704,243,784,118,758,634,456,297,858,251,771,085,739,961,
946,192,827,580,166,030,987,445,260,110,833,231,015,468,668,853,562,320,044,
553,884,290,187,418,554,762,603,991,033,381,682,962,764,704,548,862,716,751,
574,713,462,257,839,535,228,844,248,998,575,048,369,712,150,514,930,163,647,
395,980,710,669,262,200,033,431,668,361,781,288,121,731,337,791,224,466,326,
788,115,518,475,407,956,626,239,440,292,212,771,357,035,472,444,073,809,216,
548,180,502,781,592,754,142,000,209,169,791,013,444,828,671,319,893,414,956,
347,187,755,023,924,632,765,152,909,118,517,064,705,720,428,870,259,694,686,
290,497,971,045,327,305,476,639,093,339,468,175,147,181,763,060,556,256,430,
813,237,711,978,505,341,498,182,900,427,432,973,485,586,362,508,231,484,748,
256,866,361,099,929,086,520,610,695,234,380,322,947,836,741,852,383,452,548,
178,953,135,153,641,343,691,435,759,410,815,796,911,147,035,114,918,528,754,
141,085,130,091,999,511,558,500,207,636,034,975,092,592,302,231,481,419,934,
838,395,199,952,060,410,582,088,011,646,334,790,020,284,162,650,042,012,996,
947,920,300,621,051,236,004,435,940,145,442,072,957,299,306,242,821,753,097,
784,241,014,108,894,553,929,457,429,120,622,010,976,924,385,674,497,861,449,
676,955,162,286,322,736,842,484,976,034,612,625,591,593,057,700,772,384,996,
817,934,939,852,131,246,113,439,796,355,520,463,647,907,236,057,527,024,184,
557,189,128,407,723,240,830,243,276,815,717,568,222,753,568,146,905,819,613,
078,085,029,498,423,836,114,004,594,106,340,295,947,726,938,116,857,555,473,
538,449,592,835,112,841,220,132,530,107,048,316,195,090,380,364,932,621,741,
739,175,951,472,845,163,556,146,416,310,246,581,471,182,132,352,990,574,068,
807,900,085,256,799,310,749,661,931,942,869,435,244,562,170,877,443,780,179,
076,306,464,294,475,241,930,554,794,644,760,597,423,618,495,739,046,596,249,
303,740,170,269,809,825,049,692,187,965,941,979,505,210,653,159,879,863,977,
104,133,239,815,195,063,213,748,056,000,349,437,052,152,426,730,272,449,042,
119,762,003,536,554,839,121,958,063,669,619,543,722,324,582,493,303,945,770,
566,577,513,763,102,417,737,740,112,567,228,823,172,219,345,588,599,311,554,
756,561,311,520,580,365,021,547,896,449,248,630,543,920,529,796,945,359,332,
718,111,982,928,144,413,620,537,817,275,945,468,139,633,567,901,154,036,297,
532,764,811,055,970,098,778,725,636,766,705,106,044,191,076,049,893,506,345,
154,510,519,735,984,722,063,779,357,144,996,709,148,801,527,333,163,326,540,
859,573,435,581,090,624,913,551,902,704,312,299,250,130,795,485,670,167,625,
193,958,682,157,101,335,980,007,676,229,485,303,951,257,777,868,686,048,267,
627,498,873,545,821,191,760,605,038,950,074,121,403,396,353,928,986,501,603,
867,743,630,806,510,619,408,026,882,220,102,700,127,783,749,158,358,637,369,
332,607,397,203,698,722,812,676,088,242,008,104,764,868,565,169,827,259,354,
640,698,453,851,483,192,935,651,772,169,496,572,886,018,286,286,767,963,982,
386,873,672,489,568,137,252,297,980,566,775,364,062,112,512,514,493,181,649,
729,382,995,888,779,816,560,192,112,993,206,161,584,176,475,340,059,772,588,
504,374,559,386,615,900,404,471,366,001,324,416,352,506,736,764,095,716,921,
095,731,345,050,971,477,685,867,842,003,591,133,455,405,971,274,157,184,591,
347,272,467,036,662,119,167,343,258,453,959,115,621,779,865,528,688,378,189,
066,716,084,108,881,896,197,273,042,420,798,580,298,363,729,634,937,558,520,
133,340,078,326,288,047,074,946,925,117,628,313,968,135,594,483,004,870,852,
881,196,888,268,584,455,454,364,805,984,913,573,688,905,349,687,054,928,887,
894,297,223,450,255,565,618,698,621,766,964,684,176,256,492,383,223,606,675,
253,422,896,097,863,014,075,538,212,275,246,050,802,599,842,167,309,462,736,
784,726,191,788,758,459,448,427,453,594,567,194,806,961,976,048,531,281,761,
166,450,647,146,131,979,925,659,409,992,623,378,308,053,202,821,102,561,153,
068,828,849,712,355,773,910,834,314,895,458,562,358,997,915,548,897,590,783,
916,926,251,488,085,564,918,710,206,447,059,425,891,267,202,729,009,787,283,
790,256,923,595,678,639,018,902,283,826,322,144,424,260,628,258,603,455,495,
278,317,783,149,476,117,738,725,009,876,537,966,430,462,198,373,970,891,364,
731,587,974,058,586,847,260,488,222,203,291,448,989,538,393,732,067,643,707,
309,323,031,384,256,206,717,440,058,293,122,939,710,097,718,776,635,799,999,
087,574,255,328,848,289,892,373,766,490,092,021,620,862,069,285,068,895,415,
325,540,061,145,731,145,892,576,621,425,705,640,626,067,954,192,396,071,823,
261,776,391,842,729,266,621,314,863,247,540,755,223,888,470,613,579,784,251,
911,743,507,947,519,063,252,341,912,885,588,733,688,932,942,532,031,773,597,
615,061,156,032,477,143,689,855,716,410,317,446,433,178,915,487,089,929,308,
383,786,241,389,654,367,701,055,401,241,120,782,163,066,408,716,896,409,920,
466,104,454,258,343,858,229,309,147,615,557,864,343,235,977,421,501,662,641,
761,485,211,972,258,648,066,067,780,704,031,556,948,945,057,512,975,259,358,
395,490,342,785,186,645,505,349,735,908,097,185,816,672,397,502,780,745,782,
062,375,261,737,112,451,341,813,278,285,458,304,356,357,488,153,875,525,010,
968,447,776,245,774,640,811,278,549,727,737,672,078,526,308,792,046,516,398,
460,216,320,172,248,894,558,697,189,517,979,850,272,522,692,915,763,615,997,
971,619,243,814,933,468,417,030,521,417,783,472,129,313,501,460,673,833,283,
765,768,989,165,677,049,863,370,834,400,022,993,405,625,503,131,052,408,216,
192,691,458,736,463,015,736,048,071,959,513,808,403,064,410,147,025,699,137,
461,975,825,043,176,477,282,909,487,294,483,766,853,122,998,606,512,217,263,
278,761,106,575,197,902,797,291,414,546,643,813,320,290,808,932,708,803,039,
515,727,941,633,154,431,665,798,740,803,225,688,019,573,272,621,096,918,648,
509,111,159,693,525,016,917,573,058,849,808,827,448,240,231,228,981,588,842,
719,587,246,686,822,756,549,962,805,399,984,701,687,507,612,212,788,629,058,
496,530,692,852,220,697,413,427,308,788,716,351,640,154,740,615,608,233,564,
252,911,306,243,748,613,309,151,952,088,496,541,980,340,335,055,653,817,664,
754,347,121,846,808,337,774,322,140,390,027,748,450,306,262,870,898,094,662,
255,198,471,840,362,716,972,796,564,391,298,580,898,064,577,654,904,925,186,
443,067,523,975,128,879,863,056,021,697,708,904,471,348,385,937,594,860,673,
924,718,836,487,110,800,964,090,097,321,836,096,671,416,577,747,404,949,583,
297,253,909,545,043,195,358,615,034,103,828,866,794,894,103,318,539,733,621,
379,545,249,065,903,737,159,639,735,135,966,041,076,166,479,693,393,597,952,
917,884,323,199,317,531,358,930,644,605,729,131,905,389,204,013,387,687,663,
671,004,681,717,245,270,667,017,609,087,600,233,102,619,558,621,882,559,947,
977,251,894,613,570,829,195,493,271,215,131,213,121,005,158,585,036,134,705,
936,079,040,489,320,052,446,817,222,494,837,043,811,757,193,197,243,902,447,
277,263,066,880,747,673,358,405,029,808,098,835,186,265,487,781,157,324,312,
583,530,198,962,969,083,903,374,385,968,169,995,419,523,290,592,111,245,924,
181,049,742,652,879,532,784,352,321,113,990,081,792,193,374,897,907,214,752,
244,718,263,589,301,590,270,245,515,061,593,183,239,117,966,916,558,979,188,
286,544,996,516,016,262,028,273,058,159,470,685,170,340,859,752,635,884,085,
159,604,344,445,741,625,800,110,196,431,033,696,713,688,365,411,977,194,427,
325,279,041,077,934,740,748,126,498,140,679,145,497,271,592,118,993,114,533,
715,468,067,431,256,273,390,098,727,361,098,617,908,756,029,838,894,394,348,
443,499,683,831,769,957,346,580,256,951,685,302,220,880,339,355,869,776,618,
727,912,410,014,546,854,997,833,770,337,975,703,333,805,975,643,702,196,544,
441,402,044,092,781,031,247,159,227,329,989,658,052,734,958,657,383,787,307,
757,034,643,048,089,363,313,088,590,877,884,535,170,217,288,756,973,336,887,
505,522,071,300,098,921,614,336,560,835,809,824,543,228,618,764,077,155,012,
673,391,465,867,405,595,258,987,375,775,430,532,892,370,145,546,697,584,094,
429,920,017,650,635,846,623,612,059,256,514,736,243,109,838,801,366,241,590,
533,449,696,031,054,466,996,015,624,693,894,474,277,423,690,052,267,293,093,
810,075,115,402,843,317,468,924,308,116,069,088,542,225,319,568,637,544,312,
687,344,053,045,938,984,559,744,120,819,632,476,790,956,841,055,429,823,258,
894,488,108,357,756,418,534,645,481,627,977,769,843,976,932,411,707,157,445,
245,074,913,449,567,132,686,290,000,947,861,225,751,060,301,142,041,322,900,
056,839,282,556,742,845,777,279,709,713,110,924,301,066,584,149,053,137,030,
543,227,754,738,486,111,117,722,926,657,759,852,163,039,059,899,318,207,809,
597,710,225,301,795,996,234,613,870,317,404,549,798,428,478,372,161,413,940,
140,538,533,543,583,440,999,257,582,866,240,307,390,464,932,078,010,719,132,
988,197,948,325,266,066,941,710,821,633,392,300,797,897,259,284,878,756,457,
921,164,027,674,499,262,185,390,790,449,010,148,787,398,999,353,422,411,682,
277,609,616,116,095,630,576,036,582,209,834,598,609,706,262,844,577,096,909,
322,913,491,145,016,939,387,564,419,801,874,070,649,190,161,921,141,890,231,
638,376,360,247,507,780,856,943,951,949,266,978,854,283,179,563,716,999,723,
237,995,584,212,108,032,018,929,542,771,012,984,903,408,481,809,106,946,472,
098,937,724,083,480,703,703,282,199,208,821,827,061,741,002,593,342,158,633,
666,790,538,212,532,172,764,179,460,442,158,045,702,388,119,939,826,068,276,
625,591,366,835,971,260,825,430,546,146,984,981,093,205,480,443,263,776,828,
424,964,340,920,779,774,121,900,569,701,746,879,485,768,156,983,772,358,576,
892,403,870,225,845,736,321,897,915,156,292,082,213,113,187,081,730,883,921,
266,511,003,642,035,682,491,567,737,045,688,229,534,514,552,484,894,232,777,
436,119,913,693,056,829,081,363,607,647,482,765,242,659,598,852,719,893,966,
932,371,952,407,954,298,471,686,720,370,464,237,760,612,870,274,102,881,784,
654,895,030,243,275,381,842,982,474,616,509,084,472,539,005,750,541,307,866,
604,581,702,012,278,523,538,423,201,344,692,963,330,871,780,102,536,600,131,
028,382,953,168,758,041,877,405,100,852,727,422,554,153,109,398,001,644,201,
299,418,074,006,579,479,871,336,426,339,404,165,540,171,091,244,614,914,014,
440,746,361,481,289,234,249,496,889,455,840,630,005,857,673,804,853,486,169,
408,168,186,962,306,288,546,274,830,434,823,227,991,685,771,687,173,098,973,
971,385,335,321,166,805,027,967,664,343,815,129,898,105,889,372,378,118,852,
134,072,807,885,040,653,476,795,846,327,589,916,737,715,088,228,733,032,476,
148,054,482,369,660,340,113,135,962,837,164,722,828,059,080,080,602,226,107,
802,887,343,524,034,727,440,212,089,062,230,181,773,935,666,889,824,884,312,
747,352,986,062,951,753,137,055,337,435,088,045,482,820,154,586,555,699,206,
432,621,820,929,320,509,455,535,545,487,666,420,200,044,930,730,860,167,547,
869,221,516,194,229,928,390,861,682,186,118,003,861,345,363,501,344,813,470,
574,674,577,557,949,687,389,212,409,486,938,897,934,061,146,460,010,084,806,
435,714,875,211,022,691,262,006,512,316,268,742,314,823,970,810,148,282,582,
485,446,602,688,860,683,516,806,455,223,244,276,632,861,943,243,892,683,879,
969,626,198,634,294,854,697,702,961,450,337,571,583,256,014,174,979,514,712,
805,653,574,603,618,919,100,979,071,212,135,220,550,566,368,315,100,077,845,
042,645,456,695,054,631,181,329,238,516,343,493,732,000,824,778,831,810,740,
262,428,494,345,191,412,553,164,236,788,411,171,580,613,311,811,176,819,328,
675,460,377,543,033,608,620,826,958,485,002,301,549,770,623,154,305,136,901,
280,777,475,115,623,435,111,071,200,202,852,377,636,122,669,816,360,494,021,
033,444,877,691,070,797,113,227,482,094,759,651,317,153,373,366,075,661,213,
790,066,574,185,652,866,903,277,743,396,712,696,191,224,233,636,693,208,663,
886,286,079,945,701,940,556,200,503,027,661,312,794,176,914,768,097,759,726,
036,410,285,840,867,076,237,584,182,710,991,928,222,924,370,926,785,411,627,
694,439,707,964,816,751,997,624,175,476,442,149,176,493,056,485,061,499,337,
783,544,350,301,203,409,010,898,537,020,538,250,559,286,948,089,657,586,876,
943,164,615,726,194,173,486,807,311,951,092,107,751,408,338,473,788,850,252,
234,030,080,091,162,397,909,380,632,262,693,203,826,289,647,167,751,423,748,
917,311,843,468,356,265,885,550,430,047,951,931,108,095,994,441,934,805,163,
277,087,621,383,623,356,349,869,592,810,836,692,705,390,867,958,972,070,188,
158,344,639,304,767,357,005,286,026,915,372,795,150,429,574,020,267,931,840,
749,168,047,688,787,398,456,560,958,584,103,674,239,569,454,693,588,833,314,
440,482,508,996,372,615,012,975,684,222,399,474,646,556,236,779,349,987,829,
523,604,764,900,244,691,280,014,070,979,394,603,901,757,880,960,777,598,905,
459,990,919,903,627,656,383,666,987,231,491,489,916,566,329,333,026,028,741,
187,976,615,556,994,188,273,406,140,442,317,938,979,886,858,808,443,309,215,
919,900,908,066,469,312,051,763,807,037,269,724,873,789,142,141,168,535,770,
266,757,483,528,762,743,760,603,889,012,559,775,526,756,653,146,421,175,311,
972,396,331,393,153,785,065,385,178,499,106,619,596,620,298,091,724,062,693,
238,216,513,562,667,282,401,589,685,321,954,347,227,490,270,816,163,463,840,
631,014,200,141,692,143,774,061,338,485,220,784,254,947,037,521,048,140,990,
943,029,594,001,583,801,992,605,855,404,591,123,322,989,416,262,826,733,815,
081,832,954,314,474,698,074,619,324,426,023,583,262,550,527,780,555,011,351,
582,410,965,792,615,429,603,819,506,194,121,895,496,159,191,953,705,291,567,
877,596,592,494,901,951,904,574,156,724,245,156,213,231,866,397,308,385,739,
241,844,946,439,831,514,038,934,317,086,689,146,403,030,977,779,872,279,802,
068,138,406,449,869,766,825,848,003,048,495,635,040,160,599,479,272,304,119,
522,887,528,098,340,480,660,626,969,359,455,544,199,567,445,549,254,319,639,
854,377,080,112,198,053,374,255,869,120,766,178,558,069,864,607,086,806,510,
645,370,927,765,633,777,310,053,460,979,205,619,840,507,353,293,256,231,705,
982,887,938,180,313,426,876,901,601,298,898,771,826,493,679,722,290,092,544,
356,525,073,278,933,309,114,798,815,557,386,596,661,913,927,865,525,498,804,
657,553,945,263,632,577,391,721,576,689,856,349,407,135,188,398,185,203,006,
704,068,715,215,279,713,622,962,550,867,489,540,326,345,772,792,058,186,948,
790,915,866,660,284,739,338,383,010,258,631,333,487,531,216,258,703,689,819,
942,856,294,080,607,505,050,346,042,755,375,331,881,187,753,476,302,730,725,
280,768,145,424,591,923,059,129,760,095,788,968,318,918,857,125,302,133,469,
691,617,815,414,487,203,415,993,752,139,885,920,339,800,752,713,099,976,895,
229,358,084,334,053,736,776,787,278,154,556,349,756,840,021,350,827,802,349,
660,090,038,921,003,636,260,675,482,200,529,029,613,871,453,202,431,999,036,
565,717,729,721,880,642,169,977,780,258,638,819,650,032,540,329,865,731,768,
933,535,576,195,056,621,572,230,108,497,958,208,429,252,099,870,179,190,762,
896,320,698,221,523,425,099,779,152,685,135,463,532,465,831,277,232,638,291,
973,414,480,946,695,877,883,014,602,922,502,569,294,974,920,912,305,582,266,
884,756,169,688,383,410,288,169,841,960,520,328,442,569,261,412,418,881,329,
525,528,580,585,572,473,337,424,490,176,338,738,384,867,792,574,205,522,165,
191,629,677,843,398,028,453,118,457,360,781,899,667,356,821,407,539,062,762,
027,226,024,905,033,356,118,367,179,594,540,832,226,717,706,215,886,050,427,
173,197,988,471,447,596,811,957,289,519,045,835,492,736,999,806,149,754,786,
354,924,364,247,400,561,094,010,160,190,710,502,159,473,098,190,121,288,085,
695,156,540,046,489,171,776,234,933,622,090,749,066,574,971,145,190,195,975,
534,346,728,128,525,595,087,448,570,153,208,711,350,784,125,102,418,543,690,
394,441,909,740,315,813,097,981,790,305,305,446,986,997,926,575,473,831,192,
890,376,585,852,331,148,833,288,047,975,052,992,089,379,691,431,431,385,409,
615,132,266,464,621,646,359,071,384,626,938,726,409,348,182,095,312,209,858,
036,891,868,562,933,781,816,403,135,639,172,808,871,118,798,326,428,551,086,
478,203,978,261,017,310,740,508,553,336,992,202,894,807,276,139,393,832,137,
000,911,551,274,709,701,129,380,488,186,360,354,724,462,747,280,420,850,815,
436,333,585,069,770,618,136,079,981,788,279,769,125,868,735,509,509,558,035,
688,617,169,721,476,615,965,412,726,699,907,812,620,301,332,427,864,146,407,
292,339,585,738,596,781,790,916,089,641,388,598,918,249,298,992,039,235,483,
952,539,878,434,798,606,155,776,074,260,961,822,953,613,191,769,012,413,655,
569,451,816,801,465,850,720,878,570,060,695,057,410,253,632,098,637,681,483,
600,399,834,629,845,101,518,128,104,683,552,249,111,954,669,675,195,487,509,
595,324,327,885,453,305,134,534,094,050,697,245,522,947,352,233,933,301,604,
708,869,936,500,309,388,124,113,967,264,100,966,164,280,490,851,140,459,850,
105,264,035,140,878,724,490,021,887,223,508,299,457,065,395,668,039,572,468,
159,867,282,917,119,472,144,744,546,084,954,102,308,859,445,019,959,410,708,
031,896,238,942,146,306,162,727,137,571,878,463,755,048,329,558,809,511,063,
736,232,502,757,645,454,004,397,261,674,480,257,482,299,087,563,354,438,992,
671,715,859,804,569,080,742,355,429,938,350,308,250,232,620,508,973,151,899,
314,984,248,048,705,249,076,628,152,115,151,621,808,704,428,596,989,629,523,
772,856,412,279,268,896,857,447,590,992,375,249,100,182,389,343,417,529,796,
863,176,400,189,973,861,679,397,778,860,321,042,808,756,353,181,129,291,708,
161,012,580,316,251,763,396,373,842,638,536,946,291,188,544,613,796,279,590,
228,670,881,788,360,490,054,653,552,537,102,999,901,374,990,288,053,640,685,
194,967,044,462,461,293,120,294,375,883,878,913,971,110,094,982,633,482,860,
552,102,416,244,816,144,517,983,309,128,664,852,303,893,881,146,474,707,180,
530,247,699,861,719,098,446,188,631,809,693,418,357,507,287,033,611,139,659,
903,149,207,032,576,252,853,159,167,501,795,943,353,598,827,667,258,616,258,
956,279,734,074,626,663,319,715,605,139,180,086,542,519,068,074,633,442,975,
964,986,880,414,290,486,842,394,385,352,309,314,539,188,701,150,401,253,647,
614,120,325,048,577,444,796,347,589,489,774,705,329,468,637,360,952,574,461,
175,675,481,491,084,745,543,752,411,715,127,158,704,988,020,537,256,703,523,
902,716,937,083,229,038,010,351,950,177,635,797,465,195,198,771,336,943,881,
968,537,081,389,447,400,084,355,394,014,277,268,474,721,120,722,465,424,198,
518,149,423,391,169,155,073,120,323,982,955,585,325,007,379,994,514,017,474,
860,560,413,642,691,893,330,111,145,533,740,176,943,577,976,561,595,827,474,
425,539,176,355,164,181,322,075,236,675,771,621,053,356,336,713,539,485,830,
645,839,920,750,518,965,165,374,270,633,845,977,662,142,821,524,965,434,165,
925,673,494,077,837,420,550,224,230,350,574,117,876,402,881,924,778,951,049,
001,328,165,346,974,808,258,915,187,654,488,643,311,781,800,355,184,574,463,
909,801,421,232,417,239,194,383,685,776,139,932,113,384,837,904,958,270,820,
346,983,298,290,284,470,080,089,635,929,609,405,939,000,809,501,878,327,763,
844,039,180,343,935,302,183,188,759,385,228,142,739,164,512,876,335,071,142,
830,973,062,493,980,378,782,050,331,128,297,828,073,417,079,640,531,429,841,
138,985,142,454,206,983,365,335,939,747,684,764,471,040,873,311,825,878,898,
973,879,231,868,513,725,620,168,870,272,196,704,352,962,031,657,918,838,206,
228,036,369,466,527,485,035,709,991,029,262,417,932,141,157,469,304,711,728,
134,545,942,040,326,933,630,942,987,726,430,252,078,954,720,349,600,155,126,
086,607,340,311,064,671,267,463,608,941,548,608,880,241,672,306,795,116,082,
399,497,754,032,100,562,578,163,104,439,266,051,589,013,486,131,029,725,968,
190,384,085,550,041,997,262,475,757,589,065,678,710,754,103,432,263,906,799,
157,739,478,922,213,243,589,296,459,916,896,659,313,203,925,035,305,001,707,
914,928,403,806,126,577,236,250,674,025,434,478,027,872,414,508,622,082,477,
283,658,350,693,623,808,971,236,420,085,472,327,125,682,574,341,022,760,457,
895,977,489,423,746,191,345,040,749,320,398,750,657,175,414,408,216,983,928,
969,932,573,448,368,949,194,052,234,125,230,225,272,353,602,154,431,938,104,
240,922,955,100,097,850,570,904,000,097,116,690,749,547,261,187,960,487,755,
829,635,578,537,612,673,725,216,441,823,664,147,534,595,810,367,260,705,158,
900,621,946,991,678,363,337,140,493,091,775,651,557,095,352,504,138,008,313,
524,376,332,666,365,717,024,542,891,255,381,612,808,414,274,335,664,545,666,
788,227,571,233,309,797,389,531,677,696,484,759,063,100,045,259,148,425,424,
283,560,312,714,162,146,419,956,848,853,721,604,658,620,115,033,478,228,537,
384,487,028,103,779,163,890,878,486,158,502,674,659,516,823,042,391,409,388,
641,931,860,767,484,755,942,313,875,017,115,102,530,722,645,566,068,062,688,
621,058,869,875,037,644,094,547,673,223,307,295,483,842,178,452,419,229,795,
089,434,473,758,263,109,959,867,027,196,376,110,616,476,461,789,107,881,764,
168,666,100,649,209,162,102,492,760,505,701,353,252,035,312,956,635,386,635,
812,155,782,000,373,746,473,998,604,384,044,031,313,466,850,908,030,200,102,
077,165,812,642,974,219,410,736,666,139,849,778,992,313,845,433,417,726,511,
354,839,024,946,996,859,445,860,616,354,619,053,698,335,847,165,198,161,108,
672,798,305,302,767,922,689,763,374,647,007,651,488,737,701,961,929,360,263,
402,143,867,287,126,749,537,046,258,425,000,727,581,997,046,066,534,086,526,
379,248,850,712,638,232,208,369,591,512,948,795,087,448,583,484,053,254,749,
717,463,871,893,486,159,636,452,502,076,122,173,278,499,395,590,653,838,368,
522,370,236,821,895,177,590,119,761,008,479,762,303,387,567,777,239,060,461,
149,726,003,513,374,709,237,425,160,887,188,229,860,306,363,854,317,671,670,
954,470,558,958,126,898,503,197,323,454,033,947,958,101,582,748,774,816,848,
065,037,234,252,822,397,426,212,468,788,475,060,816,905,484,359,152,002,323,
521,946,776,799,955,492,118,937,125,230,749,112,155,991,811,210,838,937,513,
498,602,561,995,456,295,786,364,867,772,939,196,261,214,088,537,170,437,911,
386,385,653,198,466,140,560,269,585,391,651,365,147,750,525,982,860,962,953,
174,063,178,684,773,101,111,734,588,627,609,617,998,884,150,599,427,160,616,
330,856,137,032,407,721,902,276,637,953,209,453,614,613,766,059,217,908,264,
414,535,077,371,661,137,316,051,504,235,041,790,911,674,626,545,837,062,202,
020,968,152,323,057,846,139,036,242,473,270,578,087,442,290,161,359,583,689,
089,873,855,896,098,674,211,170,803,319,471,332,451,636,510,097,149,744,292,
206,061,837,483,957,595,559,067,909,190,735,931,000,075,726,927,367,170,197,
091,186,553,619,441,432,657,693,271,235,657,782,763,554,140,430,308,514,069,
052,216,479,367,202,966,882,207,000,566,340,787,840,828,670,275,122,706,080,
557,483,688,890,864,844,018,512,912,875,096,003,687,722,283,638,884,633,710,
016,632,423,136,564,472,286,424,222,167,547,522,589,018,152,028,910,110,812,
522,264,959,794,660,834,453,212,169,563,494,725,414,068,772,096,659,832,050,
687,326,740,236,339,018,792,509,550,428,405,851,315,479,042,501,153,282,834,
678,728,983,258,105,365,257,026,139,509,418,373,370,402,159,551,454,336,784,
595,034,476,428,785,518,218,071,884,393,915,769,060,769,025,494,018,535,728,
113,371,198,790,629,229,823,140,273,996,953,123,120,155,675,163,562,454,409,
689,642,293,577,711,669,127,193,754,351,298,848,015,581,613,155,746,587,995,
443,260,905,586,852,536,832,772,524,498,585,821,929,888,898,564,746,078,183,
405,904,596,041,675,815,662,517,467,237,748,997,240,573,666,311,936,041,016,
779,235,251,430,733,953,247,174,133,918,272,715,916,199,993,004,677,797,117,
345,508,744,243,974,332,055,839,428,164,284,755,534,661,211,017,967,688,085,
624,928,787,110,275,361,063,338,747,117,484,538,034,697,844,964,869,222,272,
576,474,702,551,928,887,884,101,837,848,729,614,121,417,961,687,213,961,062,
889,252,361,997,914,059,111,872,054,980,395,251,806,244,123,815,526,866,178,
664,650,116,226,065,181,416,475,249,835,438,148,090,213,702,965,221,563,444,
632,331,114,020,668,506,408,162,611,415,944,583,587,908,187,013,172,480,050,
900,440,942,590,716,211,802,669,667,491,021,504,173,817,986,592,737,751,124,
387,621,181,299,183,492,987,908,711,171,268,671,294,175,322,967,761,757,730,
067,519,975,719,677,295,730,068,320,564,237,733,924,818,582,241,453,259,731,
740,563,596,499,306,393,281,477,982,736,383,264,207,943,453,638,085,681,077,
670,943,614,520,304,021,333,346,626,531,613,779,557,346,535,991,929,825,186,
715,760,572,218,776,521,534,011,393,628,327,065,806,973,411,152,243,825,850,
874,482,373,907,080,908,239,097,001,399,631,930,916,559,891,697,962,478,073,
337,592,940,135,355,016,506,514,753,737,567,242,352,005,308,352,641,361,248,
446,245,512,504,009,925,206,869,883,582,759,816,806,646,050,720,160,585,864,
318,495,892,428,020,890,849,818,109,344,842,680,246,160,307,056,688,824,311,
487,615,048,579,224,028,869,263,515,891,421,490,980,264,016,968,116,232,742,
195,040,731,951,518,844,480,762,526,103,380,928,250,103,450,581,488,413,967,
403,711,513,641,416,300,571,199,551,886,771,770,348,384,569,566,227,664,801,
248,451,844,571,494,827,210,223,626,020,579,699,729,774,082,872,807,418,480,
270,664,351,578,882,355,987,451,297,423,358,540,918,031,598,485,287,259,971,
252,587,061,198,186,654,634,544,884,878,434,176,847,971,881,244,912,541,697,
972,982,409,607,494,450,312,580,405,057,739,035,789,923,783,267,175,476,785,
262,149,407,768,502,201,415,243,462,819,719,024,546,117,579,965,952,502,016,
081,507,586,897,470,789,289,746,855,714,386,017,419,857,525,559,597,221,068,
359,588,721,587,235,236,235,293,154,193,805,746,204,046,543,633,478,790,487,
066,709,685,746,388,315,265,161,539,638,580,217,532,749,322,048,357,790,839,
565,030,508,303,077,360,504,469,893,087,312,831,064,680,439,608,685,947,625,
304,448,888,468,409,711,187,856,600,964,667,925,364,051,562,799,463,585,331,
151,649,883,199,941,953,527,874,364,619,360,548,776,650,647,934,977,054,097,
014,992,500,988,124,603,608,346,791,392,671,205,578,900,135,319,290,593,797,
854,322,508,079,411,448,711,624,258,043,165,645,257,856,321,454,398,946,356,
772,085,272,369,790,490,698,582,267,225,857,021,955,331,231,823,883,535,434,
443,749,503,950,305,283,350,731,592,885,822,636,762,793,467,279,956,856,813,
863,973,577,695,693,739,563,825,094,997,551,878,463,180,168,367,375,764,771,
163,598,923,427,692,823,500,202,778,148,761,868,923,457,240,001,477,431,168,
063,396,544,043,884,059,873,367,464,273,791,573,996,999,061,603,757,950,136,
826,084,593,823,222,428,376,565,872,992,988,061,059,156,129,709,528,508,532,
581,279,490,369,125,709,772,884,263,503,865,106,766,285,333,014,014,290,096,
819,774,221,936,980,613,223,844,027,353,530,486,733,984,797,383,145,175,310,
686,254,458,067,891,004,181,196,743,385,884,740,644,475,901,796,761,288,102,
722,493,436,726,810,868,543,260,428,842,308,904,145,447,657,814,272,164,811,
780,641,964,818,359,404,569,326,599,740,849,888,844,073,309,767,169,284,057,
188,060,285,015,922,030,100,772,405,488,253,948,635,535,642,891,467,446,857,
302,039,700,718,345,580,081,446,049,740,960,971,856,707,489,049,271,387,777,
596,953,657,994,730,297,159,707,000,298,573,647,689,451,708,541,360,420,175,
476,419,300,186,212,812,404,516,408,065,846,934,940,472,047,391,088,449,123,
147,485,892,488,716,408,652,569,394,138,117,649,608,512,512,910,771,524,274,
612,298,826,202,086,184,351,778,612,874,753,180,171,536,247,200,340,294,569,
244,889,170,289,335,456,367,040,832,455,337,668,945,397,204,762,486,649,204,
609,595,049,430,348,794,432,322,173,089,141,471,387,976,555,021,180,285,312,
888,559,595,911,590,375,373,641,079,695,210,036,842,289,269,317,083,241,888,
136,006,742,949,652,526,301,185,801,818,360,138,345,242,666,796,125,958,349,
985,203,944,881,757,993,994,055,302,106,516,782,100,185,439,809,001,203,930,
394,979,343,257,932,780,414,297,324,652,998,679,514,285,701,808,633,051,093,
124,290,625,495,483,301,837,405,817,992,556,260,797,310,916,242,741,643,342,
110,439,035,251,160,685,628,303,621,602,877,870,595,582,609,094,918,563,440,
543,983,822,292,517,589,399,411,313,985,070,782,018,560,926,040,666,829,385,
965,030,691,211,718,131,787,065,771,710,916,109,078,108,551,023,651,530,351,
972,188,796,248,213,297,454,648,770,030,878,102,249,700,405,821,383,048,726,
551,812,446,928,870,501,139,459,476,190,751,177,363,634,926,461,374,641,811,
895,953,125,618,816,718,797,385,851,326,738,610,250,259,761,396,851,159,243,
859,016,686,549,590,007,945,291,510,150,492,404,013,730,461,207,567,119,933,
151,554,091,126,949,149,927,186,534,450,950,338,141,504,776,446,402,075,508,
788,513,087,374,582,381,539,308,964,465,500,908,480,327,397,789,724,389,958,
668,512,089,873,429,753,738,419,936,953,288,931,923,443,757,237,155,339,148,
616,941,666,716,476,461,500,008,490,966,090,404,181,070,489,889,270,910,699,
386,368,075,838,914,986,657,567,305,241,377,004,402,624,181,430,628,150,426,
691,054,273,126,021,204,200,353,349,319,059,817,197,348,976,824,445,568,332,
688,574,463,956,279,354,913,912,165,338,136,151,837,189,692,361,127,332,198,
569,866,129,032,293,629,761,652,763,942,224,750,738,281,326,511,473,083,076,
865,611,940,879,600,547,925,053,232,128,484,694,861,764,133,225,209,230,817,
767,559,113,551,103,160,598,004,624,267,115,626,944,822,300,166,750,013,059,
411,141,227,241,847,102,111,751,104,967,149,047,279,196,292,460,687,092,213,
518,648,222,257,142,178,831,839,025,084,757,972,819,275,428,609,888,558,327,
328,445,884,648,745,418,583,568,439,008,677,521,135,032,274,390,217,476,922,
032,104,604,434,966,900,948,769,154,364,554,291,981,995,070,395,085,114,370,
874,768,404,851,084,041,611,537,061,553,669,362,942,292,773,868,631,440,165,
367,812,570,064,625,528,267,740,483,796,016,866,827,082,008,590,638,602,809,
686,947,659,677,453,106,215,039,847,240,396,166,011,313,762,664,483,538,814,
051,604,894,570,061,435,714,586,030,219,278,650,185,197,117,112,900,271,214,
544,856,518,107,484,638,577,842,301,774,044,922,858,468,342,065,138,267,786,
230,549,101,723,137,733,933,426,279,350,215,568,075,432,676,567,204,300,106,
289,560,145,460,604,405,321,000,324,281,081,625,772,473,114,438,275,694,484,
430,445,167,096,287,707,206,085,550,669,356,775,507,112,255,027,024,551,088,
252,633,005,104,817,544,775,137,239,083,064,837,147,916,043,722,140,737,187,
646,265,339,881,457,767,221,595,828,821,038,528,283,898,765,627,506,672,618,
300,065,419,601,560,731,828,388,915,352,109,560,475,564,408,291,042,313,933,
737,322,314,080,892,577,198,543,228,450,645,717,066,628,749,425,454,109,633,
542,788,892,660,813,730,214,927,464,403,257,138,160,043,498,362,939,148,971,
911,387,536,277,220,655,538,072,354,210,936,070,485,899,021,517,981,411,005,
905,432,525,073,644,873,006,445,670,600,826,841,316,728,085,128,532,321,138,
346,117,631,466,085,677,297,230,775,529,178,547,300,266,756,237,075,415,108,
956,876,048,132,310,042,935,133,765,350,166,251,530,284,521,407,844,934,260,
516,766,682,818,055,795,398,405,316,448,992,351,494,510,355,953,013,054,748,
224,659,043,882,657,468,369,515,271,139,501,859,664,978,933,661,764,894,213,
290,398,467,674,629,007,997,813,249,004,832,193,091,224,489,031,820,312,383,
657,416,870,461,608,974,090,094,333,620,736,922,532,932,545,228,432,034,366,
806,691,311,201,055,221,059,330,444,196,736,298,154,550,075,360,495,224,168,
026,430,095,236,606,428,598,578,852,485,516,795,558,467,567,550,622,585,188,
298,864,347,416,303,461,822,502,632,552,809,144,828,903,703,690,842,831,865,
861,143,102,775,942,396,241,898,613,662,770,710,142,095,314,859,024,312,384,
696,956,152,542,323,259,250,256,536,169,088,706,117,862,137,404,584,457,816,
952,835,785,953,025,072,577,560,615,161,962,924,323,355,447,545,762,227,815,
179,860,936,102,322,906,916,793,418,693,453,921,121,432,410,452,181,912,322,
462,283,429,517,503,730,568,131,470,774,858,614,888,250,891,167,343,225,277,
174,459,657,628,272,708,999,310,750,735,631,506,810,454,339,398,475,227,740,
708,847,664,052,571,591,984,356,338,419,214,339,354,551,918,181,231,984,530,
655,880,398,480,543,933,330,101,880,121,275,780,284,180,929,076,733,404,510,
284,803,859,579,703,997,858,367,078,633,610,657,743,682,548,080,779,912,897,
814,467,237,100,275,782,301,610,984,676,008,909,034,924,958,927,703,366,214,
737,976,494,423,581,594,436,233,468,649,516,191,188,561,346,322,792,374,691,
712,790,576,050,598,035,398,948,799,174,066,748,254,370,053,773,814,914,342,
060,110,502,919,789,377,337,484,177,458,112,705,818,549,485,814,917,298,870,
242,135,195,241,713,054,543,449,904,417,084,090,933,699,706,153,545,801,405,
336,864,666,277,884,708,985,102,780,758,619,564,369,474,942,466,423,782,927,
900,577,996,064,933,523,465,713,084,592,797,984,770,317,661,094,068,640,654,
404,151,391,849,405,019,043,288,100,713,250,976,358,789,005,086,626,008,868,
562,429,483,052,894,764,463,102,912,819,641,722,508,302,299,446,431,593,327,
298,619,809,087,817,936,341,907,471,502,895,151,513,498,825,436,687,504,123,
962,106,349,170,948,692,293,396,612,243,128,065,175,274,330,910,806,844,927,
396,197,039,920,383,505,143,068,917,711,231,951,331,721,706,314,061,027,973,
375,128,521,265,239,185,203,871,560,760,568,102,328,421,096,899,406,901,596,
617,884,605,510,668,054,739,535,975,412,235,927,812,505,517,694,983,844,479,
211,919,319,095,422,885,799,795,677,426,789,104,561,341,207,147,279,708,707,
249,833,656,164,615,228,136,547,930,388,810,528,252,980,965,991,190,917,158,
759,328,418,043,277,832,446,900,145,976,341,027,551,484,173,607,520,907,250,
138,416,318,491,017,030,788,283,689,250,370,907,215,170,550,609,222,837,462,
894,763,676,702,056,996,525,368,027,718,331,902,757,554,359,683,526,786,186,
913,263,485,534,410,904,202,965,788,366,135,173,855,286,590,918,640,333,190,
127,203,154,662,177,891,636,721,530,691,456,762,976,547,741,095,718,898,911,
289,813,463,132,435,158,307,198,892,375,356,440,363,136,989,836,769,108,746,
093,263,343,209,588,196,091,886,621,079,967,871,947,907,028,346,133,066,105,
736,800,237,399,853,279,345,937,576,628,882,712,561,637,193,171,125,979,247,
566,254,984,705,826,371,373,889,020,284,287,695,500,371,571,572,422,938,782,
157,644,552,960,419,504,455,321,790,177,343,826,715,037,843,859,256,511,711,
640,626,078,997,806,911,350,838,911,447,106,395,683,252,205,814,947,938,916,
494,340,261,782,931,639,781,238,606,646,394,221,779,817,134,252,244,812,361,
012,424,455,205,596,141,739,154,818,115,192,187,542,140,894,000,491,382,084,
071,634,457,417,649,331,976,727,255,061,071,171,855,890,938,269,332,685,959,
719,978,071,525,368,934,900,696,914,323,429,650,192,835,873,186,263,050,995,
234,390,024,142,553,409,091,737,681,700,220,245,284,053,208,082,560,862,015,
977,876,486,025,500,297,764,954,624,475,340,919,013,405,344,261,538,728,635,
623,894,784,073,037,327,258,765,073,218,847,462,382,075,727,071,697,013,332,
532,710,121,231,731,996,719,873,950,371,795,581,081,978,749,000,421,612,544,
065,019,622,604,047,615,296,572,512,206,890,119,660,205,235,719,346,384,158,
636,719,956,213,822,072,272,961,573,424,466,966,136,704,970,515,570,535,335,
505,577,851,137,772,743,140,668,292,839,568,991,120,257,690,337,835,159,794,
780,162,294,571,144,959,536,045,997,217,472,243,088,872,363,609,749,837,470,
933,943,200,667,321,314,097,026,182,650,097,734,236,245,984,027,169,138,806,
225,660,702,680,850,272,341,118,352,314,185,446,959,929,199,641,834,491,622,
215,493,176,525,199,731,768,789,386,877,472,378,172,546,123,612,098,608,444,
673,418,711,402,166,032,615,128,687,663,792,344,461,176,021,347,873,324,534,
502,155,346,717,499,665,034,151,372,247,201,768,567,111,776,088,359,991,674,
806,575,668,147,229,731,816,505,364,512,491,744,311,913,003,036,133,679,767,
223,573,347,142,512,335,294,265,322,356,845,624,160,446,334,397,948,845,750,
565,776,172,787,372,908,960,788,530,940,883,948,675,498,518,303,702,692,492,
181,878,518,345,099,128,493,372,078,850,096,142,005,138,260,057,782,601,865,
665,624,236,152,707,423,278,487,233,304,315,270,364,625,903,168,815,810,868,
932,506,782,025,924,844,603,744,202,659,601,394,303,272,518,273,119,916,980,
870,443,620,975,434,847,272,259,550,560,732,442,951,709,212,429,710,702,894,
468,475,599,581,704,731,556,103,716,261,910,078,446,424,434,994,454,931,053,
494,488,026,999,546,271,742,912,844,289,559,128,367,144,435,108,776,862,190,
194,654,508,801,697,635,259,867,686,761,978,617,154,851,238,381,947,673,914,
654,601,177,016,654,690,556,647,997,150,349,778,658,375,782,331,208,517,088,
567,881,672,651,561,181,069,483,332,190,660,251,612,631,945,296,913,151,351,
273,219,065,516,838,077,696,414,297,393,707,924,366,531,219,821,770,982,592,
362,260,372,652,361,378,629,071,211,771,196,842,758,838,286,984,835,552,860,
859,864,889,528,394,006,471,032,768,813,716,396,687,394,823,083,932,264,816,
006,377,771,430,923,065,144,138,514,406,367,314,278,020,959,867,535,985,427,
896,881,005,343,995,005,900,813,375,431,536,768,963,189,349,334,332,194,154,
859,917,960,382,789,422,090,962,596,043,041,757,332,332,162,738,102,689,912,
556,799,087,665,774,945,872,160,629,450,192,590,454,547,664,380,130,487,315,
366,239,530,737,691,696,371,719,919,263,589,372,290,681,803,620,665,995,852,
522,820,980,703,813,304,924,533,492,865,066,409,272,333,938,045,621,013,345,
691,247,187,988,626,933,618,606,192,959,890,292,444,480,925,510,194,695,845,
518,401,795,681,646,127,213,512,175,489,291,087,080,640,858,259,580,652,625,
757,613,489,089,701,726,370,031,429,660,172,487,294,880,633,641,635,561,659,
615,568,704,341,166,304,295,050,183,263,362,918,112,187,394,583,007,732,375,
067,724,139,248,683,657,063,526,336,585,726,621,688,039,763,280,169,545,074,
149,072,419,716,553,827,915,865,586,744,210,041,125,060,413,754,242,136,500,
047,678,643,971,445,906,960,087,678,344,799,477,662,025,932,021,916,237,358,
253,423,142,760,190,769,084,547,361,898,784,527,441,480,432,464,641,496,633,
491,244,812,336,119,215,687,199,597,223,121,894,340,550,953,260,170,019,175,
011,428,932,586,685,146,036,197,065,628,989,030,775,307,270,063,349,067,958,
768,205,792,399,143,099,211,679,803,429,398,763,788,166,420,977,541,967,895,
073,239,282,720,418,126,078,408,094,027,870,864,207,210,195,029,554,231,987,
810,869,514,989,471,884,597,253,627,304,413,919,174,890,544,907,279,148,260,
265,750,469,494,826,953,044,326,160,999,138,483,285,796,891,552,695,272,048,
916,034,149,256,488,526,416,362,880,616,693,829,586,258,196,954,187,474,714,
764,939,587,267,687,865,587,403,758,657,696,987,235,553,779,502,395,165,991,
340,578,746,492,837,595,368,091,497,154,052,341,218,236,611,530,815,846,405,
349,263,952,396,410,892,827,308,028,527,489,839,904,387,469,640,658,385,836,
435,045,027,591,017,940,755,330,316,342,823,074,264,334,833,029,258,060,980,
132,174,121,753,774,269,629,436,020,038,006,121,369,330,350,184,884,382,706,
298,244,624,828,159,935,300,904,391,141,881,167,839,433,218,579,690,855,605,
802,978,442,931,244,220,244,398,412,865,173,777,772,448,595,468,558,580,996,
417,541,190,391,281,003,893,714,827,799,877,666,485,692,453,606,421,946,193,
893,089,639,995,022,866,398,067,195,503,343,865,170,247,035,807,785,097,748,
253,202,204,252,060,725,512,909,110,900,367,161,686,877,317,310,477,197,714,
278,599,351,393,254,489,103,845,813,959,320,415,911,477,920,974,949,863,132,
349,508,389,228,398,174,842,841,880,300,187,790,039,818,354,729,386,801,037,
326,452,788,157,167,992,489,586,984,704,602,150,681,729,589,425,829,738,826,
295,737,718,931,228,589,352,060,576,833,532,063,030,413,687,469,631,771,883,
649,012,311,800,383,563,043,332,365,717,296,257,836,860,858,189,453,909,197,
006,781,922,059,876,695,048,034,796,742,022,034,706,071,606,561,172,765,642,
104,161,235,033,387,315,225,836,904,081,394,668,758,488,460,860,014,701,105,
933,909,952,530,327,950,721,211,350,856,854,698,688,201,121,809,277,144,081,
174,062,042,278,758,402,579,385,146,489,853,718,698,089,685,184,563,149,412,
780,698,757,325,630,606,835,921,490,329,118,584,253,951,588,150,933,669,232,
228,465,151,164,321,885,093,355,204,827,988,717,885,176,529,671,360,980,113,
314,736,308,077,602,905,617,126,374,810,256,125,095,254,327,510,787,713,131,
417,313,900,572,975,763,016,403,169,118,360,200,918,820,221,916,690,471,360,
998,920,583,289,349,524,741,929,295,616,058,947,976,872,011,780,077,598,087,
920,503,252,021,631,041,623,440,371,662,293,956,073,363,438,128,204,868,977,
943,179,632,769,606,477,143,777,813,224,923,883,533,650,180,327,602,226,285,
185,758,487,435,311,367,045,610,925,027,546,983,769,622,153,883,321,211,261,
318,974,634,238,445,228,492,278,701,255,305,288,489,263,080,712,776,902,853,
354,032,234,809,556,795,144,690,184,572,592,215,935,910,625,744,337,945,459,
967,336,458,131,924,578,630,475,389,714,453,535,511,260,407,038,254,459,428,
718,733,745,578,787,886,459,581,105,011,684,059,518,935,998,740,445,674,970,
108,762,587,236,382,259,868,152,313,120,374,230,839,283,097,606,736,443,558,
126,456,401,369,383,374,241,610,487,378,909,031,155,959,384,784,871,029,882,
906,691,417,940,719,744,765,955,729,530,561,529,053,698,729,756,482,050,831,
344,387,057,809,911,844,761,729,077,256,487,540,429,133,249,375,927,406,594,
084,776,923,533,026,351,700,736,950,860,089,945,010,412,162,340,249,022,014,
728,560,365,160,617,427,557,432,183,367,467,518,177,565,686,004,039,627,793,
264,048,640,263,274,940,219,211,558,923,822,252,485,086,915,627,323,943,128,
741,719,848,320,910,452,728,788,414,329,769,845,765,010,227,833,469,305,720,
963,354,590,686,855,610,009,100,960,780,536,062,863,559,159,280,160,797,040,
990,726,633,609,987,033,554,086,496,322,735,394,450,799,374,280,817,937,704,
823,830,494,011,605,129,494,466,284,144,121,824,271,232,775,471,353,631,045,
867,655,102,254,398,861,858,942,628,653,664,295,673,797,122,112,965,411,541,
159,383,355,405,704,617,974,052,131,320,992,374,127,440,375,950,571,965,764,
955,596,218,327,317,799,425,970,643,131,926,618,211,702,297,022,713,501,055,
452,317,229,398,832,476,484,589,049,938,771,485,527,636,554,806,749,480,719,
444,505,137,144,983,798,131,557,336,698,885,269,906,965,766,440,320,773,247,
176,063,375,247,988,155,397,505,643,949,541,511,896,709,187,540,640,304,171,
204,856,829,583,884,660,502,307,572,369,132,769,229,098,205,493,131,284,657,
765,319,471,449,824,520,530,014,881,963,212,997,204,642,990,280,696,213,725,
687,486,940,686,275,287,972,539,544,897,865,096,011,842,419,372,044,700,675,
395,508,246,998,478,199,637,621,628,527,385,688,369,392,752,087,723,452,964,
632,234,105,004,549,202,630,710,685,478,153,715,748,243,680,923,162,838,795,
761,437,843,089,375,007,276,504,443,539,246,447,720,292,932,446,021,938,075,
157,699,837,266,238,129,333,779,274,444,083,766,074,247,014,979,850,919,611,
736,936,444,785,941,991,071,457,396,148,139,170,861,978,104,917,742,041,038,
042,675,283,554,084,749,866,667,876,511,503,397,026,228,734,347,690,461,156,
668,080,773,405,633,134,726,926,687,492,524,044,506,720,529,985,367,497,472,
089,209,055,300,147,809,272,042,826,439,666,267,610,201,884,797,180,377,917,
711,724,449,607,748,496,353,303,902,959,101,159,453,474,318,438,095,413,266,
178,090,849,739,550,130,028,990,718,046,704,414,388,646,196,587,263,809,001,
889,892,862,587,895,365,236,807,080,660,851,717,142,176,352,308,068,879,815,
654,636,503,041,385,386,782,366,023,396,942,843,967,571,695,820,461,360,979,
986,443,290,154,215,553,961,756,199,364,188,711,066,220,362,807,546,207,640,
960,558,390,092,600,927,739,650,364,292,268,251,547,756,518,714,267,287,963,
630,164,804,381,643,538,904,510,049,105,327,956,643,315,269,158,000,204,118,
526,899,214,312,826,015,334,521,274,836,324,023,196,744,553,639,014,240,844,
686,174,000,241,090,734,522,856,009,164,116,132,406,100,062,801,954,059,938,
377,578,635,886,664,899,897,979,906,223,192,394,886,307,319,670,853,820,915,
455,620,705,036,264,497,317,411,897,234,345,907,966,334,604,584,508,907,854,
314,900,362,988,427,715,569,347,718,795,568,144,500,954,367,618,946,125,106,
401,236,754,874,886,120,291,138,119,593,056,563,132,780,465,936,570,145,236,
941,294,104,011,848,848,949,092,044,928,687,830,818,035,170,902,107,312,243,
280,944,785,111,636,622,793,676,067,926,488,584,454,360,779,248,178,892,170,
164,694,985,652,061,406,236,024,651,574,820,287,976,877,164,649,868,762,412,
985,445,379,000,090,377,337,869,286,189,451,775,379,777,906,602,468,853,495,
458,033,019,572,391,227,700,752,819,911,274,623,768,477,738,901,982,847,859,
981,579,214,213,025,997,090,568,165,158,150,217,132,817,627,295,736,181,903,
982,590,131,454,473,310,528,532,402,920,376,543,305,639,448,346,163,471,031,
993,438,706,746,395,815,191,931,736,592,576,834,575,191,555,823,902,756,915,
580,121,719,047,372,180,682,464,670,604,696,080,398,156,839,679,228,841,495,
584,506,703,905,857,071,727,421,827,720,400,771,475,536,941,090,950,470,583,
767,296,473,109,275,824,330,943,044,492,771,811,140,210,553,502,601,819,528,
824,562,149,207,110,969,269,674,805,716,841,649,409,697,816,247,824,229,028,
849,933,931,753,747,893,521,453,957,183,197,576,366,566,341,255,160,133,806,
033,850,905,504,695,135,864,602,637,953,172,349,830,878,331,364,489,731,782,
577,836,470,284,812,321,124,589,167,660,831,753,400,482,737,375,361,650,546,
057,597,261,194,214,188,314,423,530,634,130,216,078,828,792,247,165,434,808,
074,026,539,843,161,177,625,853,629,961,486,745,745,675,393,604,367,831,820,
812,663,084,366,987,947,971,256,909,022,068,560,923,693,830,796,347,152,138,
699,111,581,014,468,861,750,962,001,245,364,632,623,718,325,231,364,872,470,
795,870,803,459,045,337,779,800,506,326,978,399,038,400,418,075,823,093,750,
546,600,190,311,727,373,438,186,587,911,603,860,099,205,112,169,073,562,416,
498,062,497,363,253,472,485,738,402,524,237,111,849,327,235,881,086,119,430,
347,771,807,773,117,048,158,142,609,931,879,389,236,886,304,685,471,740,380,
215,177,372,465,164,741,828,024,514,372,286,023,727,539,229,428,999,990,462,
507,717,690,389,507,964,758,366,248,075,350,059,098,581,628,906,107,055,813,
623,304,710,883,399,559,601,942,162,613,276,604,155,591,139,847,494,765,735,
750,855,572,684,772,053,118,669,117,622,070,440,004,612,014,164,140,722,722,
533,093,394,205,287,566,633,239,707,404,849,758,539,450,057,365,459,659,159,
888,340,638,178,813,252,449,001,262,876,261,365,766,231,518,393,592,255,891,
963,436,950,834,613,216,078,450,861,305,854,908,584,745,453,785,328,056,697,
638,247,323,063,316,312,405,090,867,974,206,873,593,477,569,630,686,589,720,
487,774,934,948,952,348,401,722,420,683,974,555,327,144,287,424,408,214,834,
228,688,647,568,892,639,091,167,756,273,813,123,585,590,151,305,192,231,164,
509,750,985,642,165,468,013,361,933,801,113,446,167,576,935,434,159,351,889,
177,795,082,307,735,049,295,307,354,927,707,595,735,732,165,682,305,029,671,
985,152,504,807,627,516,160,783,923,714,674,852,042,185,516,438,193,657,213,
271,846,999,896,743,168,118,836,628,285,981,939,936,468,707,993,067,687,730,
250,843,279,783,954,305,688,441,287,671,606,449,681,808,013,886,279,748,572,
268,104,485,240,343,402,278,752,517,195,038,919,087,805,511,691,402,635,085,
907,340,778,078,186,498,904,454,826,876,897,542,912,458,667,897,890,247,427,
511,391,334,592,767,522,273,725,923,205,471,792,253,005,935,094,779,546,739,
130,102,911,796,544,467,121,028,137,773,079,854,254,106,358,107,989,223,211,
923,563,575,898,876,828,408,460,057,587,080,579,396,527,766,404,986,610,086,
247,055,024,968,391,486,217,328,789,580,873,465,475,750,211,192,937,346,265,
764,968,450,543,991,220,113,661,328,208,453,607,881,821,386,412,919,086,985,
798,339,458,651,798,574,346,450,683,850,448,080,326,445,135,771,651,788,327,
234,117,160,528,160,361,070,850,171,523,849,216,152,777,857,506,128,370,326,
393,395,452,625,379,877,642,082,420,823,543,901,111,050,301,712,678,081,811,
849,051,301,284,328,560,776,489,771,299,324,074,739,129,276,409,132,592,652,
616,348,419,307,067,475,620,688,081,507,057,536,567,391,252,783,691,659,465,
057,117,698,900,886,802,129,367,648,214,697,701,882,401,479,856,094,703,150,
784,984,959,429,031,425,261,070,827,387,935,806,194,439,459,524,117,713,344,
085,057,879,881,845,767,890,517,733,293,896,467,289,002,722,207,657,770,795,
711,792,312,154,939,974,413,717,409,710,913,304,557,580,753,237,952,081,461,
870,299,430,944,113,998,551,621,030,238,533,039,147,477,161,377,337,835,208,
897,423,285,194,147,676,508,175,347,098,731,982,899,125,044,454,793,485,176,
301,156,725,633,044,418,854,103,285,231,831,788,990,781,642,927,888,144,483,
151,034,716,577,267,284,835,266,112,669,775,423,652,824,508,533,798,122,128,
233,475,094,875,759,690,466,038,036,813,150,817,527,922,873,424,125,546,101,
650,013,921,445,787,736,567,396,417,151,539,997,784,326,738,467,810,341,614,
068,507,234,383,890,406,203,298,293,275,593,614,960,622,300,598,008,624,923,
844,083,845,756,831,699,549,625,051,781,482,060,008,096,004,921,380,570,659,
405,890,823,620,555,498,716,980,133,056,376,032,211,760,213,986,273,951,726,
819,023,585,505,385,992,834,094,376,639,423,959,297,689,882,545,480,205,459,
773,694,601,683,272,478,470,164,228,097,605,364,073,748,676,714,518,745,574,
506,034,006,030,094,594,605,257,054,334,443,994,802,907,149,576,461,248,243,
663,312,276,606,083,729,940,069,530,103,957,141,088,993,654,211,050,670,827,
049,126,630,627,764,686,994,004,480,740,366,885,254,047,866,028,935,435,210,
305,400,152,448,032,660,743,963,891,226,954,412,727,478,811,423,845,514,276,
697,572,345,539,660,640,477,882,432,468,427,759,174,255,670,650,501,691,525,
585,676,189,707,048,144,564,754,562,652,490,404,969,946,883,228,056,197,671,
549,392,691,689,033,356,067,669,642,384,855,974,697,480,564,695,091,602,695,
269,638,484,924,139,558,904,333,453,887,745,271,890,892,640,705,796,324,545,
814,166,731,634,226,721,009,173,554,182,278,453,653,451,468,721,347,350,254,
141,626,757,125,674,295,904,299,734,689,199,341,960,632,189,406,524,896,431,
504,867,387,819,300,117,808,994,721,083,490,327,401,296,624,976,770,722,605,
850,291,123,827,637,757,819,418,477,426,344,931,581,714,093,671,319,094,958,
036,320,315,313,701,558,220,890,957,407,596,954,393,256,786,801,484,614,297,
892,804,234,230,369,731,584,456,046,898,481,048,450,619,391,886,081,754,248,
900,412,882,541,620,697,490,383,444,340,730,594,514,022,296,782,930,731,975,
288,306,299,196,987,775,173,568,514,848,204,931,344,987,872,487,354,351,883,
884,239,786,843,877,980,683,222,783,990,055,535,776,068,051,374,333,774,812,
985,620,421,131,534,066,455,432,494,875,993,364,282,561,415,859,699,589,344,
795,615,348,312,579,034,841,587,438,981,609,631,013,129,289,018,494,000,760,
761,348,293,865,857,616,349,494,999,009,439,495,997,426,843,402,679,197,046,
623,240,850,590,357,914,433,023,706,122,190,214,136,272,964,242,846,973,483,
715,445,507,945,829,867,466,139,986,852,524,216,697,928,961,683,723,963,073,
272,210,515,702,641,740,570,914,303,855,334,237,943,969,063,280,920,001,686,
829,538,174,145,760,724,068,829,586,665,862,542,198,301,259,220,846,191,767,
091,667,057,871,640,503,586,118,202,667,251,286,775,133,270,436,669,381,091,
916,443,511,860,176,173,272,248,771,383,395,405,423,748,646,192,296,977,526,
897,914,694,386,120,342,750,727,431,144,978,505,191,894,306,637,356,571,324,
799,573,219,178,231,997,811,703,732,568,097,026,555,686,175,910,752,571,232,
994,073,325,928,889,388,797,960,330,454,998,855,472,401,422,300,538,721,344,
778,165,118,804,838,064,811,496,206,911,502,115,076,261,894,930,093,514,568,
931,027,446,988,339,184,509,208,837,577,836,352,994,968,139,768,608,347,424,
463,215,394,351,041,907,796,909,765,418,697,813,037,389,637,393,223,700,405,
997,402,365,152,702,429,582,469,239,884,656,830,068,461,173,624,616,185,715,
333,694,755,657,948,780,793,423,151,335,064,659,959,890,672,801,907,760,916,
262,398,231,323,985,156,847,626,296,360,972,092,435,519,029,489,331,411,932,
119,050,790,446,527,926,845,763,370,538,893,767,991,770,115,181,388,028,958,
139,767,111,229,196,413,028,181,021,997,015,589,227,851,265,290,235,122,963,
609,682,551,365,669,815,171,643,826,113,531,802,093,128,025,442,069,529,627,
170,401,621,212,202,612,628,131,325,340,267,676,288,596,648,106,444,129,710,
951,929,568,438,542,338,980,660,431,036,548,035,779,818,516,841,009,166,339,
275,118,777,784,799,566,859,178,433,486,842,706,201,730,134,596,370,056,781,
697,569,960,969,303,681,988,790,247,759,861,558,570,081,413,342,326,468,334,
285,659,157,875,456,366,830,721,510,875,290,516,421,754,267,092,379,793,307,
807,675,609,683,587,601,072,505,810,075,488,301,150,507,938,414,836,717,020,
938,687,427,974,299,309,650,004,537,610,567,456,812,226,147,118,356,019,764,
511,197,111,263,726,451,544,773,991,978,713,667,925,606,985,612,803,317,732,
728,416,765,948,370,762,882,487,776,438,702,717,431,802,963,193,605,903,921,
931,815,797,065,165,625,347,656,871,507,052,456,747,986,636,393,940,313,007,
518,466,507,623,694,663,364,463,738,535,011,039,294,397,917,469,422,154,495,
822,211,050,676,468,231,789,587,652,463,407,256,854,815,982,771,258,101,419,
727,593,377,445,722,812,002,744,351,051,657,235,708,023,710,567,636,347,643,
354,744,340,682,296,070,271,596,694,512,383,780,961,903,628,274,485,569,799,
540,418,574,659,624,070,107,658,381,120,470,099,329,909,476,594,364,932,460,
345,621,190,451,818,854,060,882,267,964,331,553,998,166,366,233,818,036,630,
354,267,740,982,498,507,266,280,692,707,227,774,563,685,366,016,481,558,316,
531,986,820,181,265,583,576,789,626,660,825,530,359,440,660,852,711,906,360,
749,870,401,064,036,242,187,372,394,040,300,298,862,083,687,989,257,973,813,
663,287,930,168,775,031,738,427,132,491,775,914,941,271,307,360,568,469,317,
204,505,792,357,696,277,167,091,200,156,314,737,439,523,965,026,515,719,791,
598,890,974,787,993,358,952,213,537,495,913,190,364,336,112,412,297,987,720,
211,690,823,285,677,129,807,834,328,218,418,951,987,753,705,344,243,990,720,
139,507,605,156,482,473,195,146,615,019,672,885,001,750,825,298,791,881,001,
100,072,417,450,467,423,238,743,975,722,769,025,469,093,141,128,873,070,295,
868,556,734,492,111,113,404,704,619,132,526,122,435,942,219,347,471,098,539,
094,379,544,840,397,746,473,092,487,581,298,691,066,347,363,408,081,838,258,
214,631,550,003,122,108,086,798,256,697,324,307,780,049,921,256,929,988,980,
670,626,511,673,317,679,040,651,880,045,067,835,768,028,258,454,154,379,159,
059,888,235,566,974,432,634,252,184,397,700,236,722,177,655,191,690,452,306,
603,884,629,636,863,731,058,260,102,050,832,851,142,418,568,137,219,624,638,
222,720,061,459,829,320,959,566,510,474,212,943,232,829,605,700,517,337,122,
091,764,090,344,730,730,570,898,656,914,298,600,711,800,480,089,112,464,517,
156,095,462,327,096,653,999,346,653,606,976,807,932,486,641,929,825,282,540,
664,947,203,738,765,782,454,351,476,305,742,843,693,430,389,692,112,905,271,
339,884,262,444,174,281,420,561,484,072,002,216,705,348,493,596,302,810,350,
832,316,495,628,503,146,468,525,003,625,526,944,704,756,026,535,870,200,651,
811,456,400,511,248,743,915,526,316,184,115,967,959,753,104,197,229,598,983,
979,777,593,345,602,993,493,000,883,347,908,150,109,234,902,840,302,342,188,
293,338,138,273,765,618,324,842,296,402,565,136,397,289,648,441,346,672,011,
535,168,585,936,049,860,699,533,257,363,266,125,562,286,790,639,446,298,315,
175,485,735,685,840,000,179,267,642,386,791,285,474,863,538,400,718,000,624,
165,675,792,503,116,847,128,746,833,198,623,738,271,063,472,168,632,406,924,
690,705,323,266,028,310,250,972,158,826,306,581,192,201,150,591,885,745,982,
658,861,013,883,785,095,928,239,502,051,934,944,075,606,762,248,623,061,644,
642,306,250,634,216,875,297,615,677,443,691,804,479,842,096,539,938,455,064,
378,324,659,491,305,653,996,448,245,609,635,816,017,257,535,617,385,164,064,
691,516,811,839,326,241,938,838,480,455,369,070,617,599,120,996,601,990,631,
695,829,672,452,444,718,226,102,111,673,649,433,080,393,303,531,864,810,190,
636,942,340,915,943,298,716,980,465,038,642,495,251,430,892,824,855,052,052,
330,196,958,282,328,254,942,696,997,479,870,830,686,362,277,266,946,201,546,
553,184,117,828,162,521,201,200,028,100,548,030,505,003,002,669,145,979,626,
335,843,934,744,439,870,363,108,248,793,271,919,495,327,995,131,694,077,643,
698,576,374,231,662,058,170,943,882,071,553,062,410,537,402,718,698,836,288,
272,483,810,995,812,219,496,674,157,507,817,730,994,750,458,454,304,365,330,
435,454,730,063,470,543,087,223,195,620,599,860,872,995,473,639,414,912,186,
923,684,571,271,362,069,919,584,500,058,032,924,349,975,249,797,138,536,538,
109,654,013,259,657,714,188,824,511,062,673,987,377,658,262,027,719,626,731,
709,139,006,981,766,546,396,757,662,919,267,236,752,260,909,465,501,801,108,
192,881,850,240,476,267,766,291,505,667,675,824,193,721,680,263,283,379,055,
716,383,665,131,198,980,230,638,366,439,367,669,064,159,329,809,352,731,565,
204,519,444,254,257,063,376,120,199,915,543,103,284,890,316,668,538,569,963,
168,250,956,930,652,982,680,103,016,967,457,736,619,893,271,823,689,641,413,
901,781,913,509,339,830,628,494,206,449,796,231,924,884,455,732,242,418,841,
388,652,006,987,551,785,468,898,658,500,926,086,555,100,000,715,847,039,177,
158,290,933,858,391,207,458,325,207,270,577,303,387,835,568,971,820,954,325,
419,314,655,720,267,238,113,555,286,166,142,020,853,833,572,934,972,037,317,
526,917,809,259,538,262,228,971,823,600,609,640,494,128,375,730,836,009,690,
217,276,925,128,309,866,651,034,940,354,024,275,348,671,600,270,131,640,216,
552,342,164,951,970,611,322,471,085,524,267,330,095,573,505,106,169,514,189,
584,190,577,256,917,037,908,376,251,289,059,429,684,225,603,547,872,638,698,
436,300,005,993,606,096,978,148,545,200,173,572,615,643,169,034,644,403,727,
926,029,268,611,574,728,312,352,467,909,198,769,435,043,861,598,783,598,463,
681,271,726,934,503,113,602,576,565,668,110,975,891,403,833,652,989,267,376,
426,044,225,091,479,944,841,914,988,816,236,271,582,105,793,959,789,230,082,
059,236,140,218,035,926,955,818,931,373,807,786,471,418,484,156,230,621,961,
169,848,039,628,889,076,258,032,720,718,243,659,393,635,572,799,973,675,798,
903,121,601,526,482,878,096,036,069,050,213,879,938,468,522,138,201,339,872,
511,483,014,441,994,293,755,880,667,319,419,417,928,004,410,484,208,230,778,
679,977,715,809,901,883,674,798,609,214,982,606,639,793,234,618,143,259,295,
363,382,965,889,984,829,866,974,665,642,131,630,629,597,467,683,187,452,703,
871,288,100,319,056,285,882,573,056,996,489,322,677,773,605,071,223,349,767,
875,768,986,352,398,838,502,704,753,755,961,115,705,240,277,586,492,013,459,
935,531,021,817,794,463,536,260,403,485,500,654,137,977,751,668,289,520,643,
363,650,127,784,115,506,537,567,133,452,210,813,317,351,600,002,931,561,317,
227,971,765,868,444,495,862,821,910,299,586,606,708,422,569,337,691,787,987,
151,228,136,294,962,412,884,916,607,583,920,986,350,843,007,746,059,463,530,
358,279,460,776,001,715,651,928,712,350,170,887,034,623,840,696,171,671,013,
725,593,754,376,257,717,613,123,561,658,182,970,094,978,000,593,416,920,875,
026,935,150,592,259,529,909,849,757,323,067,319,228,937,621,446,604,635,370,
869,999,890,832,181,725,085,848,056,197,774,552,039,607,234,713,505,613,541,
972,992,688,289,890,360,063,635,288,846,409,667,870,689,824,613,258,827,533,
718,425,217,613,875,303,603,830,872,567,748,117,667,908,631,614,625,257,292,
956,647,239,504,327,647,921,903,540,786,729,383,330,594,871,405,146,716,818,
435,473,888,253,548,373,750,108,151,231,007,118,923,087,389,878,321,203,778,
356,165,548,583,326,403,232,355,328,099,854,508,316,211,043,386,393,614,920,
540,676,530,504,590,342,731,694,514,912,026,332,134,657,681,334,067,862,228,
021,330,485,616,155,375,676,487,431,080,659,402,989,261,438,896,679,996,169,
907,234,836,480,733,044,875,109,614,503,615,528,914,850,760,695,360,640,190,
687,239,836,304,496,864,121,493,197,758,120,738,729,751,860,346,417,202,726,
218,005,102,630,677,877,468,874,199,431,278,563,401,434,946,998,300,908,961,
388,895,603,277,112,448,770,965,674,734,312,795,838,491,518,747,688,690,136,
534,509,770,705,455,852,030,727,898,862,832,305,674,657,830,581,497,666,862,
926,596,521,694,213,870,752,526,457,968,146,883,018,907,023,642,911,297,558,
224,636,822,282,005,301,757,776,565,776,533,168,036,162,263,639,574,837,326,
890,167,627,831,918,319,098,280,142,635,785,450,056,403,148,318,498,865,307,
621,789,663,795,151,885,029,390,681,054,125,277,254,459,738,825,588,542,513,
998,427,408,193,173,130,754,006,134,389,976,232,333,143,074,653,775,102,376,
958,383,780,461,618,079,411,094,417,717,766,520,060,298,059,048,149,288,493,
305,786,184,143,729,264,531,762,270,885,147,935,294,496,484,317,665,054,826,
601,786,682,137,445,186,025,008,195,475,087,521,481,785,574,487,650,105,837,
526,436,843,592,337,555,632,321,449,469,186,087,378,129,253,910,606,812,575,
342,628,952,895,935,767,645,917,761,360,168,651,766,577,132,680,767,821,349,
580,378,692,089,079,679,669,161,598,281,405,451,651,484,642,477,629,556,854,
647,471,637,990,649,784,411,523,494,626,001,532,600,163,025,245,434,372,066,
490,119,115,186,624,427,240,403,589,547,011,695,525,054,792,533,466,943,816,
010,634,996,233,586,044,730,412,580,754,903,446,554,782,749,244,760,468,057,
591,617,269,056,013,951,346,667,005,623,837,408,931,360,800,521,619,213,483,
869,207,271,057,167,287,396,358,790,258,250,313,507,599,869,513,623,532,534,
065,533,345,197,397,113,542,499,703,692,035,102,342,294,740,199,013,985,486,
483,623,801,391,442,069,310,125,970,671,484,677,141,546,141,638,776,958,746,
567,653,582,409,592,303,981,127,703,886,442,902,867,944,420,070,449,856,833,
933,453,602,473,834,238,300,950,442,970,421,003,627,269,868,913,751,394,578,
082,882,680,924,814,563,905,370,506,961,505,756,096,707,781,559,524,719,420,
556,652,277,862,828,638,009,843,540,928,188,830,218,611,527,250,578,239,244,
936,337,463,805,764,798,319,238,304,198,069,319,116,548,259,977,001,635,819,
397,314,174,866,566,736,882,386,869,957,913,123,060,282,617,483,695,321,061,
718,824,976,462,618,483,318,144,876,027,287,187,062,753,774,474,384,447,152,
048,331,655,130,197,930,854,337,711,165,011,771,656,750,270,434,899,916,615,
563,690,410,124,976,828,598,576,931,909,943,546,837,713,158,053,640,142,501,
305,463,716,762,256,988,352,289,471,281,079,871,821,785,180,224,008,321,895,
592,477,985,051,099,663,737,173,656,944,071,155,944,166,814,073,919,792,820,
342,919,790,356,022,455,141,745,596,613,109,569,856,604,291,630,496,514,558,
284,078,737,459,465,909,673,911,891,295,671,006,794,474,147,182,006,049,515,
097,374,950,408,045,654,966,872,861,250,939,331,811,577,502,440,697,268,547,
198,082,470,853,879,939,245,810,524,355,186,439,912,835,148,374,186,432,536,
832,482,737,816,099,771,874,421,365,885,297,651,124,829,944,904,765,899,105,
321,143,920,917,483,418,182,719,618,049,598,596,987,305,394,844,797,881,780,
691,009,121,019,782,412,153,186,227,009,393,730,994,562,037,727,623,054,123,
346,698,340,121,861,883,838,574,656,892,714,381,102,603,843,218,705,390,682,
519,168,221,395,628,624,529,380,840,701,907,572,585,754,958,089,697,178,756,
477,534,386,125,133,869,392,393,400,849,321,396,862,041,006,750,985,517,421,
753,022,081,092,178,195,869,140,552,426,620,157,436,399,165,404,466,507,561,
534,943,154,363,461,098,815,384,962,339,545,218,869,429,215,102,170,887,927,
083,476,716,388,629,428,525,447,334,170,449,653,034,828,825,976,878,028,198,
475,588,644,853,810,841,871,000,651,523,416,584,133,073,178,751,690,562,846,
061,966,290,776,344,297,661,889,258,176,247,701,340,916,959,456,541,172,626,
899,680,032,250,918,477,982,038,709,440,672,879,965,062,630,580,534,857,834,
219,762,125,876,204,164,822,139,736,813,207,001,539,121,543,550,410,603,907,
677,048,258,552,911,349,374,854,556,107,799,853,092,757,380,921,429,078,662,
707,162,461,550,257,707,215,900,304,439,706,979,522,595,655,904,495,435,598,
070,996,877,103,118,808,757,144,925,080,555,495,694,391,724,459,904,328,378,
471,625,675,895,784,635,262,080,142,169,342,463,395,754,556,817,919,743,812,
173,053,428,490,083,213,382,018,078,818,669,120,037,122,121,083,156,518,578,
579,987,477,793,815,295,584,047,819,210,506,352,629,775,910,417,760,703,387,
543,131,731,438,266,793,958,434,868,656,361,690,890,993,819,331,186,404,580,
861,930,024,632,646,133,999,012,789,644,737,342,832,595,650,614,395,866,095,
653,083,836,026,939,595,420,559,897,857,279,787,007,903,204,165,713,769,233,
671,557,718,968,957,930,171,519,689,879,980,334,452,014,665,608,531,911,880,
395,314,130,091,004,035,026,253,110,285,281,598,199,270,310,789,794,271,162,
391,258,143,218,846,666,251,346,769,735,506,819,054,641,142,859,404,908,495,
128,465,843,179,315,612,346,429,031,422,391,263,758,032,320,448,681,234,698,
602,563,921,954,133,855,271,256,416,356,852,499,909,503,901,455,726,768,913,
565,384,443,150,484,703,002,439,722,829,380,158,638,861,848,385,074,307,206,
019,399,223,352,501,530,602,180,002,265,855,222,652,450,621,279,068,411,450,
588,825,792,415,381,230,682,202,189,912,502,133,913,486,600,631,978,377,181,
203,231,927,248,154,613,047,958,815,472,990,862,503,512,011,001,906,408,139,
820,358,116,334,981,343,673,808,327,549,997,713,197,103,934,399,335,782,070,
524,221,500,537,473,266,553,206,747,060,526,751,937,153,401,432,944,207,572,
632,479,206,007,878,208,152,947,090,595,435,665,267,508,031,402,359,141,991,
617,578,535,794,226,631,522,847,146,202,677,965,229,625,265,980,764,924,203,
575,959,712,236,576,691,258,450,560,262,874,657,077,037,175,353,643,183,970,
022,515,077,973,586,557,856,852,600,897,752,932,625,447,934,532,612,669,590,
417,291,084,059,583,574,645,531,442,923,562,240,280,685,877,117,260,944,929,
899,790,155,482,098,013,069,297,701,051,494,915,069,084,107,911,886,293,933,
787,152,589,950,290,820,741,083,254,861,061,733,113,853,181,985,966,714,579,
142,470,095,334,776,068,343,225,548,974,344,851,834,999,334,719,337,685,044,
947,044,338,002,290,387,457,222,098,231,760,444,641,030,101,200,262,656,699,
992,827,898,617,099,422,838,138,491,222,023,632,052,734,230,829,969,991,718,
075,187,178,657,920,151,974,613,334,228,396,872,387,736,305,254,986,016,660,
483,953,237,905,153,679,960,857,797,718,411,773,794,034,639,366,358,496,940,
057,733,306,382,848,361,018,422,344,375,488,738,479,712,116,606,572,566,102,
637,004,107,755,507,842,106,032,909,505,969,140,245,720,356,266,337,896,581,
962,062,476,193,826,719,069,387,639,925,308,397,107,814,265,472,396,873,299,
890,054,790,243,798,341,541,801,230,717,522,883,695,820,254,448,708,995,424,
128,452,741,094,268,448,266,019,870,875,318,227,430,964,299,857,012,271,988,
237,435,171,901,214,957,775,115,263,843,604,457,725,166,801,790,899,144,765,
617,866,504,391,370,280,238,206,470,461,610,416,536,689,861,712,265,257,285,
369,494,578,816,353,744,362,922,659,964,588,255,812,177,657,331,560,139,238,
092,585,400,357,140,062,371,935,165,200,906,590,572,740,351,001,383,787,549,
308,218,521,785,934,263,103,893,468,711,924,467,613,326,609,477,325,950,004,
783,773,132,578,662,854,036,541,150,682,334,232,517,382,231,028,103,419,919,
372,443,030,622,316,161,398,695,931,931,830,003,704,081,461,868,739,417,174,
078,634,381,245,762,989,338,071,956,578,849,174,666,327,291,846,328,412,332,
588,748,091,346,306,483,524,251,288,453,078,324,092,411,715,966,099,495,724,
274,395,215,441,089,728,915,813,785,926,681,172,193,148,365,934,132,216,642,
075,686,920,178,496,467,398,895,378,807,877,893,967,162,972,387,832,140,552,
710,578,155,670,296,714,167,929,058,040,236,413,904,079,906,140,326,246,741,
533,059,075,181,302,346,097,807,890,161,488,009,218,506,095,511,748,588,664,
875,669,490,963,838,390,497,122,185,144,333,841,792,199,431,558,936,467,854,
496,936,329,334,901,766,468,936,471,333,968,687,190,668,638,584,813,925,350,
878,013,166,845,703,691,602,895,391,519,040,237,185,161,458,875,574,033,945,
837,818,946,499,582,792,664,884,264,968,248,795,114,968,661,132,196,753,689,
776,545,575,498,091,929,511,271,225,164,878,255,315,639,156,401,818,377,617,
768,949,096,822,710,225,894,141,981,814,866,621,740,418,876,717,643,878,587,
158,459,473,702,149,895,375,726,198,268,367,350,251,261,128,408,295,870,743,
507,100,576,012,508,683,761,038,269,296,893,283,700,750,858,937,108,460,699,
699,732,023,872,278,370,766,473,787,405,995,945,026,380,356,622,589,263,978,
930,958,739,096,586,468,224,950,393,372,513,033,112,910,318,842,084,898,425,
444,759,582,904,231,045,076,558,920,974,011,494,344,731,672,074,115,109,207,
732,619,769,762,800,952,949,054,023,896,165,174,587,340,887,022,199,013,435,
474,979,154,687,930,873,940,342,990,357,701,382,452,684,362,174,596,934,258,
577,112,789,053,498,409,780,307,046,396,078,187,297,787,292,709,190,890,102,
712,114,375,317,520,820,933,447,020,544,308,857,100,619,802,643,910,985,222,
479,039,092,907,079,428,529,070,684,948,241,629,498,824,296,652,697,933,078,
410,866,143,304,889,116,688,416,107,249,513,169,619,896,022,883,631,145,469,
918,643,554,747,929,235,006,865,044,888,995,787,492,390,832,308,334,609,617,
228,904,291,566,106,008,804,982,655,605,187,162,879,964,242,725,629,592,187,
361,943,549,658,643,549,364,410,487,261,338,646,441,529,628,666,777,907,840,
588,835,984,267,546,772,743,585,412,812,380,584,063,498,698,209,756,170,066,
631,281,915,657,052,048,078,648,420,180,403,828,764,610,899,200,267,432,203,
989,050,144,111,422,230,213,737,104,483,767,019,535,292,820,491,256,017,843,
406,863,813,793,373,530,319,167,306,101,177,550,804,951,236,593,972,979,048,
044,442,482,712,101,758,812,349,199,460,078,655,906,648,073,269,387,924,238,
147,524,549,095,277,347,056,407,136,859,293,256,632,719,273,938,328,113,862,
567,243,112,663,962,041,571,186,815,226,639,601,300,063,989,949,876,252,523,
355,096,737,034,105,538,095,411,998,112,483,481,579,453,219,403,571,312,872,
359,104,637,004,279,404,809,901,980,141,311,296,880,775,935,471,907,074,520,
702,157,485,077,010,504,052,539,991,245,458,405,121,684,239,356,559,002,932,
247,731,843,637,331,433,882,994,462,056,674,511,755,828,390,268,745,847,061,
208,598,427,096,746,814,301,764,174,642,279,973,131,950,267,880,304,841,607,
288,182,993,966,921,344,723,197,469,287,101,151,994,544,556,315,221,087,808,
598,854,387,314,503,497,053,796,518,197,599,535,190,730,653,910,021,637,200,
167,358,496,327,990,076,436,878,735,116,763,135,360,704,958,104,385,624,351,
499,022,146,227,465,005,847,312,960,217,820,363,618,320,624,174,747,288,774,
393,349,928,757,490,576,075,207,212,214,114,894,650,143,484,681,222,774,526,
947,007,886,191,159,456,626,868,090,395,302,497,164,502,423,957,404,908,592,
150,851,094,502,568,962,810,379,252,632,415,979,630,508,875,322,980,229,957,
939,207,984,520,184,871,461,011,382,620,271,371,331,098,627,791,211,485,304,
236,637,520,423,166,572,753,330,196,651,069,034,306,721,809,710,885,675,705,
762,370,406,143,844,713,761,022,899,691,251,184,934,537,026,362,079,776,961,
301,769,043,050,886,761,505,707,361,987,187,351,113,326,066,195,804,535,199,
483,066,536,665,412,210,950,735,617,815,960,117,322,420,175,722,147,187,776,
859,960,799,034,063,669,583,323,581,750,153,852,142,235,691,061,141,012,660,
825,021,009,168,979,494,472,493,880,505,022,719,902,613,635,443,932,361,507,
695,547,285,682,272,947,534,527,630,710,678,367,891,397,616,857,984,892,591,
307,827,733,525,253,155,062,257,324,688,812,802,011,292,773,847,680,803,599,
894,243,019,265,295,338,743,331,987,922,620,353,169,215,938,699,083,179,981,
073,390,587,776,550,061,151,170,887,145,020,600,581,466,079,273,590,067,178,
308,567,974,243,764,401,216,331,192,136,273,087,135,888,029,281,447,066,465,
421,898,398,768,922,685,800,938,940,892,576,064,595,541,438,480,766,708,544,
739,195,003,227,189,313,579,793,666,427,252,653,388,363,830,434,812,975,045,
166,634,756,763,879,683,702,718,223,427,766,477,528,714,971,729,596,357,320,
363,661,639,080,840,154,603,423,618,572,739,607,974,362,388,370,697,404,541,
104,096,649,070,925,965,955,690,605,843,740,306,888,387,500,651,960,469,185,
829,829,065,748,179,226,782,426,351,252,308,384,228,469,416,135,160,460,825,
586,964,433,670,432,760,491,779,152,620,109,629,384,748,642,335,823,683,417,
677,950,516,698,968,723,935,244,752,652,794,696,148,892,103,096,985,298,637,
334,197,903,604,690,597,492,474,249,096,032,397,325,690,093,977,100,858,429,
437,429,486,745,143,402,936,188,085,906,355,875,032,637,582,984,412,417,335,
492,536,216,216,971,448,575,101,889,293,823,695,096,268,380,655,636,099,565,
170,003,674,041,339,776,078,745,126,005,837,670,106,838,060,648,947,869,453,
445,166,695,141,762,725,165,138,551,785,630,613,963,905,687,276,473,049,097,
503,868,240,236,331,528,707,540,370,768,357,038,664,629,843,616,379,258,183,
265,308,496,601,248,321,841,917,931,634,911,136,982,543,686,838,773,965,134,
991,279,815,425,021,097,645,348,163,424,807,936,975,325,699,062,511,862,350,
999,770,112,525,252,417,988,395,918,043,247,050,560,367,092,637,759,563,855,
558,283,516,729,771,269,389,563,964,318,569,851,157,495,911,671,407,912,073,
585,907,880,740,088,825,311,854,497,345,195,793,331,481,601,209,648,804,101,
899,246,797,327,325,959,346,389,577,975,677,977,495,502,409,962,919,475,066,
521,515,549,891,049,899,518,460,304,599,947,110,571,368,681,008,441,258,161,
808,465,919,226,537,074,076,143,876,538,644,399,659,518,002,669,562,179,070,
951,387,921,138,976,824,812,543,012,579,559,829,150,891,253,996,956,178,839,
770,096,971,037,196,744,903,304,062,029,403,634,723,285,707,942,605,711,567,
093,236,923,582,954,568,510,831,284,428,564,338,777,698,854,738,906,647,734,
814,973,100,030,340,483,071,182,720,097,124,673,379,270,129,066,395,535,858,
679,567,034,173,581,847,388,691,300,358,100,188,324,415,319,250,015,342,170,
578,245,479,241,163,728,338,808,723,107,598,097,153,044,174,115,471,834,155,
662,904,060,850,816,840,990,570,444,373,066,960,301,051,650,318,299,110,010,
318,823,047,883,576,482,530,030,000,686,750,208,897,278,351,411,506,653,631,
359,068,293,469,493,285,864,902,402,803,594,178,260,890,190,754,513,257,316,
766,462,695,189,118,402,156,440,441,237,349,281,680,664,407,180,388,668,326,
812,468,244,431,560,146,538,910,328,313,996,720,244,395,543,188,393,444,699,
102,014,716,263,171,175,206,555,118,664,566,739,687,780,459,931,987,118,060,
257,788,242,914,176,153,951,388,868,517,122,644,604,329,296,021,839,300,155,
369,330,679,331,752,716,510,970,406,470,456,365,716,843,034,480,328,608,272,
602,156,126,882,917,627,221,227,277,504,838,528,186,221,317,200,877,625,162,
390,774,440,927,846,140,798,375,491,295,684,964,773,430,748,996,593,625,643,
015,427,727,440,850,663,574,888,567,400,825,488,903,085,388,387,159,204,466,
279,324,720,344,301,724,470,060,565,039,108,212,729,952,049,281,778,753,039,
855,392,330,029,876,049,071,384,773,574,876,870,053,080,147,027,465,992,559,
341,197,930,043,664,702,526,114,296,423,888,218,531,478,277,151,995,186,834,
767,238,502,564,109,488,593,458,913,346,036,382,176,879,097,865,079,888,353,
285,617,940,884,744,816,055,794,703,344,657,204,425,527,669,562,763,945,665,
911,303,657,395,757,951,898,144,022,272,530,197,868,958,039,562,929,043,101,
607,281,979,717,846,882,891,849,666,266,545,112,420,021,321,217,209,312,347,
668,589,623,186,793,982,095,834,793,093,582,519,552,837,573,857,551,253,106,
954,573,631,093,689,371,181,218,935,505,421,312,825,958,131,598,874,863,000,
733,736,771,939,615,514,531,539,745,698,189,550,059,129,339,561,926,055,070,
894,237,862,336,561,917,146,994,477,461,767,624,596,435,018,755,457,760,990,
237,837,790,871,782,370,587,341,890,963,938,394,337,235,525,921,974,136,018,
823,529,997,846,318,281,372,635,572,191,939,789,344,595,521,150,317,384,476,
378,615,212,188,410,844,125,305,811,308,678,194,093,846,654,191,513,422,648,
903,944,272,172,671,645,393,141,800,113,905,531,060,647,802,020,533,745,106,
087,875,620,836,994,125,256,808,812,507,676,155,710,494,475,362,199,093,100,
913,055,302,640,238,786,112,757,099,039,892,200,666,713,633,537,099,534,856,
125,708,814,784,546,335,999,443,112,639,158,428,100,634,243,203,219,551,327,
927,054,645,749,434,882,218,176,917,209,267,595,003,547,130,740,084,272,535,
830,238,078,898,879,181,555,146,609,359,253,680,268,067,850,488,917,484,723,
236,691,658,503,515,427,219,232,968,130,308,036,087,062,113,397,911,991,859,
385,537,010,630,593,190,858,629,013,225,342,592,610,220,267,209,952,881,627,
181,441,915,993,400,215,901,614,661,587,497,324,912,249,471,664,142,144,328,
328,295,696,535,536,351,439,040,378,946,488,528,462,485,841,898,122,302,189,
487,367,382,474,743,598,147,836,022,934,352,212,549,875,204,523,816,465,058,
412,411,050,283,994,551,456,027,742,126,359,253,461,612,355,712,802,999,775,
268,570,991,491,867,495,444,470,730,064,457,924,990,450,507,275,734,752,436,
011,415,209,007,791,136,288,430,511,416,921,125,709,467,069,932,638,803,014,
609,478,069,356,081,933,009,259,996,496,590,846,956,523,128,264,704,085,510,
487,635,889,643,063,036,704,258,445,832,933,080,942,848,448,351,624,504,300,
808,158,601,621,978,668,431,667,953,670,634,053,269,107,188,638,344,836,837,
113,123,899,011,728,706,377,540,140,502,323,843,541,910,962,630,745,495,496,
558,194,005,387,936,025,365,707,358,461,116,942,697,510,443,087,621,656,328,
425,555,816,779,735,257,715,554,683,865,128,693,242,348,598,317,411,036,294,
746,138,413,095,375,000,975,884,459,109,092,597,285,779,098,312,511,716,866,
674,712,357,026,027,360,437,902,948,931,279,210,591,532,695,598,719,672,926,
652,373,346,241,255,786,802,932,204,060,080,747,824,203,021,478,974,116,731,
202,735,290,907,998,443,314,506,046,243,345,433,783,951,612,544,257,228,505,
753,340,786,600,408,747,850,476,178,183,292,394,858,930,386,905,341,944,378,
106,292,628,405,176,718,958,165,139,559,998,738,422,442,302,186,505,741,141,
519,300,668,994,240,725,466,579,212,152,755,492,188,194,742,015,399,603,537,
710,861,295,431,324,080,990,207,281,516,607,759,374,071,305,391,206,675,682,
356,378,943,721,915,485,849,520,150,038,463,389,306,909,497,498,353,826,421,
240,412,666,848,088,490,655,197,842,224,568,645,089,048,115,675,054,277,196,
284,574,935,825,340,788,373,393,766,828,742,498,288,691,611,428,621,614,388,
649,904,083,337,944,873,649,848,890,872,995,689,096,431,515,196,602,054,711,
487,513,056,431,961,889,787,138,258,524,497,698,489,946,593,589,122,870,339,
363,474,038,919,678,806,963,377,269,815,688,018,490,125,405,160,294,302,135,
652,626,955,542,978,069,548,404,233,145,526,360,496,923,635,538,707,919,078,
034,236,543,983,669,963,399,658,181,720,699,331,083,593,522,818,167,905,038,
144,768,084,654,174,978,913,047,573,312,026,418,700,185,797,885,627,230,529,
890,756,978,912,798,169,097,542,914,903,954,381,163,413,862,623,107,031,040,
446,174,571,215,165,791,346,584,368,248,109,066,586,446,412,603,321,674,601,
825,243,138,996,571,875,780,492,458,458,523,645,139,800,954,116,974,777,411,
245,933,121,210,147,599,096,843,041,411,896,184,817,452,355,446,287,119,389,
492,628,891,631,069,474,139,038,984,985,593,639,545,445,850,220,031,079,028,
861,332,769,480,064,066,152,879,993,210,087,009,413,725,584,957,664,364,932,
021,067,932,962,598,124,355,288,186,596,497,761,273,759,938,769,258,019,801,
239,449,916,962,878,146,963,159,072,496,042,789,982,221,890,445,605,400,011,
116,697,304,468,035,452,322,088,992,953,916,956,405,363,204,988,242,015,631,
299,296,225,292,963,570,651,907,697,881,924,050,425,766,809,065,800,217,958,
321,730,693,180,401,687,351,020,132,237,526,584,165,772,335,856,932,793,094,
729,635,942,615,678,699,740,853,295,405,383,941,742,134,559,606,774,649,547,
306,634,548,173,862,947,107,329,230,722,474,480,290,470,782,345,448,984,857,
074,383,310,969,531,837,920,481,441,840,197,964,672,127,583,658,911,371,833,
336,737,376,704,380,740,432,116,309,207,899,414,444,973,055,603,010,076,223,
094,366,054,892,410,139,252,146,632,460,934,873,127,574,960,996,973,503,275,
336,941,664,282,134,641,608,555,528,555,467,971,267,813,269,056,884,882,251,
110,968,286,828,091,512,859,017,957,089,426,444,855,701,715,361,220,991,183,
707,969,572,126,048,412,876,391,227,649,691,153,456,754,431,164,040,844,265,
207,945,243,671,160,339,991,119,439,706,869,316,546,926,437,206,591,923,502,
435,168,320,184,765,002,498,696,624,922,175,575,208,941,208,915,518,646,081,
465,886,725,434,175,181,248,199,987,484,009,826,460,484,577,381,219,330,605,
498,588,931,099,052,542,769,447,078,264,797,065,814,899,382,492,873,778,384,
924,290,081,062,536,905,026,095,012,188,915,764,341,656,267,655,736,520,008,
105,776,955,277,380,313,899,927,144,929,069,198,042,123,060,213,470,292,643,
934,568,977,800,902,135,782,389,725,898,117,152,858,435,009,233,410,900,987,
121,567,302,010,724,972,400,810,742,439,957,080,890,751,307,404,474,316,362,
212,652,411,089,306,115,464,448,310,845,343,067,087,029,448,240,391,016,076,
669,741,695,080,612,887,991,553,985,764,188,488,921,370,615,197,106,727,236,
121,738,810,565,475,914,958,240,801,972,357,964,133,810,046,342,130,657,271,
199,360,860,088,663,158,618,774,205,701,398,613,290,390,601,819,889,068,579,
102,063,724,054,561,976,288,763,477,776,419,752,685,900,468,404,807,075,778,
505,610,946,175,428,824,778,728,206,962,588,368,155,725,383,979,573,548,851,
320,345,800,230,753,768,380,219,901,195,211,485,852,532,307,282,908,931,718,
392,080,721,488,950,977,157,628,347,269,035,921,492,297,691,289,562,253,774,
294,609,987,830,049,981,865,476,285,597,061,634,281,148,716,710,666,455,475,
726,164,377,613,131,976,659,201,381,863,126,450,608,725,989,058,131,442,183,
778,789,663,112,812,687,074,494,048,372,025,859,881,828,076,946,614,436,005,
630,936,610,078,675,480,719,846,517,019,813,075,783,331,835,336,119,332,219,
744,803,490,933,383,111,799,273,421,533,030,813,014,375,783,661,072,100,030,
625,264,169,558,226,420,856,282,735,405,048,461,707,031,476,502,427,674,636,
004,049,537,365,300,904,410,125,604,034,291,195,770,105,160,392,563,312,063,
361,354,938,130,929,353,638,285,322,102,455,209,551,417,372,364,404,218,152,
895,552,793,112,194,401,457,797,198,833,022,567,145,302,325,384,623,540,654,
848,630,826,076,797,583,079,038,682,571,162,836,417,702,643,768,662,570,546,
552,973,235,820,627,033,706,789,360,855,363,316,219,020,643,788,545,218,908,
437,156,485,654,932,686,312,754,857,537,363,074,621,751,864,417,704,146,032,
958,458,029,066,097,217,095,275,262,716,342,864,986,810,829,612,973,132,655,
987,318,314,435,812,322,009,664,036,339,631,475,553,173,980,959,935,290,368,
941,349,838,516,790,176,608,523,473,663,329,158,450,489,468,489,620,943,323,
690,884,256,016,646,733,231,671,753,462,059,008,446,428,120,516,839,039,022,
642,603,324,737,675,631,777,735,891,018,620,237,025,611,725,399,137,570,679,
323,864,497,973,573,741,249,683,802,996,996,466,040,134,243,517,814,646,813,
150,578,157,147,562,740,696,780,045,147,670,545,188,141,718,027,041,676,431,
160,972,136,816,462,969,921,904,943,723,704,904,685,278,993,084,292,285,427,
886,045,143,166,061,314,428,037,731,783,825,133,817,485,974,417,358,301,002,
072,232,869,385,259,769,429,042,633,829,270,601,122,598,986,869,874,600,582,
126,602,024,603,793,822,437,063,332,781,115,757,632,384,516,501,994,539,544,
948,206,995,154,539,352,250,143,542,453,191,873,671,335,556,955,860,040,903,
530,487,485,222,286,282,063,021,992,606,838,491,743,179,896,286,899,890,339,
457,372,522,787,694,333,803,844,235,968,027,234,556,531,503,467,853,921,051,
760,477,504,169,653,058,603,768,691,891,776,639,115,934,573,338,349,610,220,
410,901,192,497,371,084,627,233,656,718,260,504,720,976,358,532,400,470,495,
423,280,239,380,209,037,974,705,185,845,718,062,202,164,560,101,805,281,202,
935,547,976,991,773,713,671,364,977,138,216,596,916,803,342,341,430,231,203,
639,514,795,274,671,457,746,455,085,441,940,623,317,460,932,188,409,489,808,
184,354,926,756,332,222,316,150,596,034,589,568,727,432,086,310,241,182,414,
066,747,354,243,526,556,001,400,182,088,447,793,795,197,747,984,522,572,275,
475,525,918,231,619,495,304,881,541,808,731,236,941,247,631,031,812,974,204,
402,259,521,553,470,269,800,922,198,644,254,164,268,097,533,066,527,316,474,
697,519,475,990,935,197,879,435,609,028,571,711,009,255,417,327,250,050,557,
551,482,069,170,020,759,252,422,564,757,677,228,467,862,074,731,119,056,455,
039,462,089,290,797,599,253,865,306,626,276,500,018,580,850,263,277,180,919,
649,100,292,013,896,504,116,279,778,152,771,205,002,693,434,774,183,426,861,
295,505,901,991,293,193,315,696,416,172,156,865,491,004,104,970,159,567,425,
096,430,890,047,088,054,619,385,043,497,107,406,340,352,963,742,027,327,976,
753,498,701,158,606,009,375,046,115,669,341,682,022,701,146,151,314,312,513,
410,875,145,279,853,531,293,983,376,635,297,873,035,432,563,957,697,128,106,
974,459,815,551,256,430,421,444,853,609,455,102,297,573,759,325,766,945,792,
906,838,264,506,970,938,800,229,822,087,196,322,448,882,405,315,652,453,540,
551,640,297,764,726,853,721,268,028,844,599,131,829,766,508,459,677,871,578,
521,573,256,103,118,201,929,431,686,538,003,828,946,285,867,246,872,120,763,
190,765,346,361,186,426,451,850,428,917,291,778,848,544,281,162,310,858,443,
392,189,685,735,217,433,473,639,254,898,278,204,658,075,158,161,710,872,637,
069,110,790,248,325,844,772,432,662,184,966,260,787,376,437,525,518,837,717,
447,409,517,255,648,257,375,227,078,451,645,429,661,408,020,632,342,699,642,
229,089,949,329,495,882,989,206,518,879,907,288,124,469,798,938,734,398,684,
529,117,436,615,968,414,263,223,421,834,716,230,994,034,380,566,558,286,833,
592,105,628,328,127,660,132,339,763,055,685,963,404,362,033,825,470,315,563,
190,408,007,185,817,066,552,763,354,555,981,450,343,959,484,597,069,499,174,
924,115,326,508,265,814,032,502,190,813,442,806,568,815,011,104,029,666,169,
164,591,919,493,695,337,986,163,671,243,469,231,696,307,747,097,855,660,110,
400,612,815,648,472,309,776,289,125,036,106,705,220,530,233,504,841,089,279,
690,501,651,402,525,882,346,877,679,124,402,040,617,315,317,087,343,050,792,
897,991,199,977,963,379,136,446,463,263,909,317,909,823,072,570,329,566,767,
018,770,323,825,590,855,294,448,577,987,638,545,796,424,365,135,321,006,040,
967,554,862,015,805,246,279,287,499,314,567,687,602,980,613,481,932,774,630,
417,455,982,322,917,718,409,371,585,825,630,146,260,461,578,705,965,732,856,
430,504,872,465,803,759,654,260,075,760,169,150,104,190,603,390,124,194,339,
331,989,235,720,461,527,457,172,054,927,065,236,115,588,409,866,874,292,039,
909,203,712,206,159,515,144,972,621,725,443,237,584,569,524,227,225,618,764,
740,631,294,293,823,435,559,324,455,930,422,859,287,272,801,086,798,319,866,
342,974,114,779,900,212,248,926,576,256,038,463,280,177,459,094,493,808,289,
186,644,402,082,392,635,376,595,163,720,893,439,260,464,374,884,469,535,578,
719,131,560,028,771,879,045,514,237,272,683,147,971,150,395,563,569,557,612,
530,502,716,148,611,792,157,803,559,450,432,903,671,055,456,873,795,092,806,
628,094,741,616,024,522,304,126,917,273,426,930,808,130,883,373,885,402,181,
161,366,648,690,341,680,552,819,451,011,328,157,105,478,626,041,544,146,048,
803,999,726,356,164,721,325,782,257,108,068,482,509,317,257,100,412,202,017,
584,299,065,433,414,407,013,087,540,518,462,437,812,814,386,858,169,237,405,
353,160,829,740,690,874,805,552,971,446,613,537,952,775,402,638,282,028,315,
873,007,802,273,925,305,903,025,965,562,430,357,372,651,684,501,505,738,520,
404,835,253,805,390,128,486,454,872,379,278,876,605,882,255,175,970,841,589,
537,338,714,715,208,571,882,140,230,462,217,463,543,225,718,558,630,075,745,
634,833,025,413,539,792,925,760,472,234,071,286,432,951,001,472,799,628,626,
417,080,989,625,238,195,904,775,001,149,863,513,968,172,539,150,458,448,462,
483,032,698,343,296,224,141,502,092,457,355,520,989,898,827,542,531,845,114,
951,756,076,303,273,798,960,823,421,198,525,727,019,419,478,334,202,648,296,
107,091,942,632,624,817,789,364,700,700,387,858,449,833,856,508,634,349,895,
710,858,293,902,147,281,254,512,894,467,467,799,612,122,640,481,902,212,994,
688,335,439,564,491,250,752,274,316,988,682,555,569,304,469,915,383,393,694,
897,766,510,989,371,612,907,985,311,173,172,338,310,509,870,671,270,059,301,
671,845,498,242,246,873,971,993,129,843,040,485,362,120,833,533,953,425,506,
916,153,882,299,556,837,412,381,240,607,857,351,428,272,377,984,287,614,051,
415,367,470,948,387,364,762,161,887,622,391,410,264,049,895,259,813,045,205,
233,530,235,343,126,247,378,169,155,934,421,920,225,078,254,849,856,536,022,
234,823,624,792,409,552,904,214,540,508,566,877,698,257,880,235,292,548,269,
724,068,750,673,861,337,809,777,310,045,724,608,038,305,542,969,040,910,014,
241,551,230,709,824,316,762,026,564,103,614,842,810,541,073,044,223,091,642,
929,775,904,243,081,861,190,983,913,683,341,282,428,018,867,277,795,744,501,
128,800,634,390,420,136,458,350,835,344,120,016,677,093,774,703,115,830,977,
724,198,268,657,779,875,103,560,272,852,284,124,453,142,118,275,722,988,966,
782,370,149,690,198,677,877,188,407,977,918,250,022,402,311,688,144,062,117,
606,553,817,512,558,507,926,763,459,025,286,972,431,081,677,333,023,377,040,
655,652,558,863,826,214,811,816,218,628,808,476,794,293,788,115,824,878,637,
130,675,968,502,066,017,630,640,170,047,394,676,692,869,174,459,015,714,654,
706,369,076,785,877,327,066,315,758,627,528,484,450,017,668,050,057,839,832,
249,239,938,609,469,740,854,684,321,264,446,664,748,644,025,637,144,572,808,
692,145,390,499,155,032,776,866,521,408,167,060,269,759,499,880,416,563,635,
930,648,231,808,931,543,518,709,347,450,158,232,323,587,871,023,586,280,007,
798,266,802,528,622,420,416,176,103,040,986,416,099,525,750,322,887,846,666,
520,947,682,765,113,873,498,225,746,237,468,880,552,614,514,313,545,278,341,
347,002,385,157,161,835,410,735,943,089,071,099,737,312,858,143,981,392,252,
659,017,805,127,756,524,203,044,864,728,930,895,571,794,200,826,662,307,322,
001,032,287,136,947,720,727,213,622,553,005,318,609,955,722,570,047,881,082,
963,990,527,652,864,917,318,202,804,179,235,321,135,109,932,886,340,748,510,
424,891,922,947,174,793,659,181,527,080,812,106,763,752,011,813,300,213,173,
385,474,807,043,078,930,721,792,196,006,752,031,985,157,887,757,889,965,230,
704,122,659,471,157,284,354,664,047,936,305,574,755,847,771,593,259,234,514,
437,896,975,234,897,051,707,029,391,106,006,908,257,817,776,049,948,810,149,
393,170,103,017,637,732,593,279,060,560,076,763,565,419,816,105,563,868,724,
668,869,156,627,078,016,155,411,443,648,871,104,107,310,578,760,660,006,884,
943,036,085,432,551,050,379,606,900,346,627,923,736,737,002,849,662,850,801,
678,692,591,224,512,486,451,911,145,547,821,800,162,601,346,307,563,689,892,
204,312,211,422,518,915,928,069,948,432,697,362,650,906,796,904,837,929,136,
175,924,575,811,550,590,277,579,470,832,053,421,667,490,380,562,033,425,853,
028,058,034,880,306,198,681,913,475,933,948,530,466,625,502,305,682,496,781,
819,457,476,138,606,833,003,696,452,786,281,357,531,215,466,433,344,609,835,
771,251,215,587,637,046,943,765,206,065,907,977,202,113,787,544,773,613,254,
292,629,927,236,689,440,078,836,128,343,358,818,340,005,372,810,282,733,624,
426,157,361,421,187,894,563,131,395,820,922,419,130,759,047,512,201,777,136,
165,886,289,834,765,838,297,744,622,311,629,738,604,403,248,027,221,812,761,
350,741,086,244,197,554,297,188,561,908,670,116,892,385,801,591,235,590,008,
668,126,207,090,704,438,840,025,470,752,574,297,573,376,414,682,166,568,528,
512,752,663,921,302,367,829,103,578,397,881,844,428,894,944,695,505,686,744,
587,644,195,000,221,311,818,845,174,531,719,915,002,922,231,946,625,453,616,
225,488,344,008,190,707,990,837,306,018,864,537,380,320,156,573,785,221,445,
434,509,028,433,066,049,679,887,541,807,229,120,799,488,933,220,032,090,076,
581,354,433,733,143,323,323,091,029,313,561,803,181,803,796,260,242,282,496,
747,849,990,707,945,392,900,647,741,966,438,061,856,191,286,177,889,891,448,
163,193,862,466,166,695,091,646,825,874,708,939,055,756,268,940,535,440,724,
393,844,522,523,899,320,795,483,944,325,563,211,620,812,221,968,637,061,956,
176,101,267,415,596,466,400,128,452,209,153,696,273,591,987,612,176,717,553,
462,806,104,951,132,406,835,938,726,235,020,527,169,001,313,258,751,713,239,
070,660,907,457,136,762,528,723,643,293,389,732,739,457,637,229,560,507,392,
109,994,203,135,751,546,171,915,526,683,307,437,549,850,555,301,325,029,347,
117,437,053,697,489,900,891,663,183,492,902,163,890,240,931,204,481,379,258,
565,296,814,620,207,754,448,927,891,543,783,839,484,078,227,347,681,252,018,
955,399,341,978,076,875,576,170,146,195,644,791,907,607,621,057,607,493,189,
020,032,438,389,370,578,897,334,230,630,397,026,966,097,658,765,640,031,098,
322,990,493,954,862,895,326,537,492,843,973,937,139,681,479,346,135,184,727,
580,903,546,292,632,904,947,035,392,657,777,197,620,811,639,796,944,566,275,
550,576,449,815,859,001,374,602,416,069,004,333,302,535,780,260,439,037,307,
597,976,130,098,080,693,520,328,772,365,908,214,703,525,727,614,170,779,174,
459,878,630,135,941,739,020,192,073,096,040,774,922,020,442,973,414,426,326,
549,925,166,147,911,356,703,055,942,741,961,545,302,951,347,505,633,486,469,
728,463,271,352,701,165,277,472,998,579,036,550,384,841,138,094,847,061,990,
099,001,077,276,552,787,397,410,622,642,120,585,765,253,270,384,694,596,897,
474,259,831,079,515,237,502,795,190,951,446,099,031,281,883,780,659,730,500,
440,700,502,887,101,928,420,833,622,340,043,640,940,563,130,576,799,764,678,
280,044,018,393,885,578,840,648,637,802,871,367,667,964,448,424,116,279,407,
225,725,607,469,997,116,710,250,667,956,225,918,779,111,866,439,573,580,104,
807,258,239,732,662,938,997,009,911,975,214,067,730,675,881,943,343,564,770,
398,634,003,986,437,159,939,692,337,529,389,586,622,993,487,753,083,099,714,
550,041,053,044,854,843,519,819,211,123,265,362,344,047,244,200,414,506,779,
835,941,234,435,914,835,863,925,680,836,019,819,449,196,555,542,232,224,681,
663,608,379,105,758,285,676,471,353,995,659,972,142,983,016,886,557,842,543,
589,366,676,124,129,059,518,644,349,826,342,212,972,557,975,862,147,107,378,
395,929,662,331,183,046,510,428,912,549,109,515,242,333,574,998,180,387,469,
116,771,602,641,324,140,742,505,588,257,962,398,056,596,533,099,725,677,044,
684,924,893,189,863,374,608,772,583,284,652,082,290,785,580,626,362,504,644,
122,714,201,805,201,185,976,237,128,795,631,213,087,533,330,646,134,646,735,
044,016,349,303,630,079,252,132,706,503,463,607,137,699,203,504,853,635,335,
737,876,322,587,845,072,776,173,381,728,185,512,287,541,403,664,466,451,156,
031,338,375,138,276,559,729,842,493,892,721,249,078,690,237,149,167,376,810,
330,128,715,012,943,309,720,828,378,209,066,065,345,653,386,049,385,552,212,
757,504,890,386,732,727,890,049,294,135,897,735,102,126,853,802,709,023,117,
478,637,833,995,200,473,492,931,171,747,422,737,421,978,850,144,948,392,912,
548,200,166,611,476,752,315,907,924,944,690,910,728,705,724,311,939,101,870,
377,823,591,004,258,041,699,997,107,043,748,487,174,970,836,258,497,272,752,
151,578,140,695,849,664,091,923,003,155,508,940,924,042,201,774,496,772,012,
468,155,251,905,252,799,458,812,942,375,464,577,403,779,982,916,150,439,976,
189,489,467,216,452,403,804,059,129,787,585,265,999,639,082,336,286,286,154,
806,491,786,884,271,675,592,955,532,530,681,072,211,049,341,219,004,885,250,
526,812,175,734,644,331,453,046,667,533,617,720,287,021,560,140,634,680,183,
301,312,363,400,054,853,104,174,783,838,305,242,025,218,005,027,589,209,098,
345,321,862,662,155,926,396,046,709,821,499,397,174,224,208,998,840,799,606,
434,192,829,030,065,495,811,788,365,146,216,682,117,608,297,895,929,778,535,
585,878,965,547,744,665,110,440,533,539,125,205,543,612,386,523,532,651,516,
149,916,450,408,288,241,568,655,055,582,082,502,333,783,385,864,746,085,716,
327,491,796,847,322,838,960,132,085,488,336,641,263,052,890,754,282,333,393,
430,847,075,857,810,456,773,134,564,911,427,017,620,789,140,173,058,025,024,
700,219,958,120,400,721,108,360,143,708,269,033,979,987,942,633,432,338,117,
114,002,573,233,322,936,384,641,974,875,373,352,548,870,213,687,410,958,853,
428,448,763,457,727,924,316,728,253,755,406,419,935,567,993,422,024,612,153,
728,317,777,945,187,015,049,584,665,879,700,474,127,488,932,877,762,189,470,
695,635,978,040,422,388,474,854,139,030,873,974,307,568,970,050,132,964,064,
913,627,040,393,888,732,636,905,042,375,249,815,336,900,861,795,689,067,451,
995,044,081,730,745,212,036,607,105,900,573,098,535,833,458,088,329,037,031,
742,549,464,786,075,733,647,201,350,238,882,826,712,728,763,274,548,040,706,
557,383,446,278,800,607,073,178,796,812,762,189,247,802,271,185,747,065,684,
643,095,610,255,958,092,259,562,563,913,061,838,754,001,639,855,489,226,402,
764,717,500,767,226,332,723,078,367,204,450,918,245,982,732,937,351,917,625,
806,384,012,678,156,252,840,836,432,557,449,209,941,077,760,854,699,034,212,
181,381,208,018,266,149,685,548,451,510,255,430,483,134,478,546,029,843,742,
540,556,449,066,684,802,145,065,182,985,173,418,765,826,837,877,180,753,023,
922,268,618,591,508,848,257,666,609,437,640,581,173,659,894,034,060,694,508,
752,879,395,335,464,958,436,366,390,921,804,106,852,891,150,902,893,094,232,
755,991,409,071,666,766,743,951,513,712,331,425,828,392,974,291,605,479,221,
686,957,422,800,255,824,458,136,933,624,595,393,351,537,964,170,237,781,885,
326,916,060,799,314,966,656,388,551,648,892,305,293,961,848,355,546,653,300,
997,298,106,431,668,317,926,852,514,455,652,449,038,469,695,679,608,428,643,
380,487,889,061,950,707,889,488,165,245,436,784,030,097,439,521,694,459,875,
728,219,549,260,795,583,540,308,274,298,114,437,366,499,584,724,276,861,905,
994,306,637,805,047,335,957,800,659,019,934,475,703,759,518,127,932,435,166,
357,973,480,424,751,930,844,145,310,112,209,992,371,350,298,841,719,913,900,
807,309,908,441,142,270,609,972,986,172,863,228,630,087,481,051,583,544,493,
534,035,521,067,342,025,238,553,064,262,661,711,803,937,258,261,333,425,665,
860,063,772,904,264,177,358,506,900,220,870,885,284,507,373,295,938,186,179,
055,481,654,088,060,828,118,117,037,586,009,211,211,245,566,406,786,662,629,
862,243,913,801,326,933,396,984,445,116,105,323,435,859,243,877,979,656,727,
214,202,221,662,894,875,059,723,089,357,820,796,706,720,238,369,584,100,070,
325,707,588,269,833,800,223,645,361,392,963,125,250,325,280,868,114,572,979,
109,183,274,756,969,846,781,296,341,562,163,832,030,382,192,698,441,403,910,
942,723,326,760,609,961,833,388,088,660,776,986,029,527,990,493,387,489,098,
235,429,822,649,868,849,741,822,896,647,991,948,834,201,654,800,023,771,616,
285,568,493,094,916,275,673,588,372,031,116,866,497,587,617,573,210,673,277,
401,154,134,328,340,359,354,215,769,360,509,843,054,926,892,755,348,192,969,
563,445,218,477,952,607,367,208,800,060,234,647,467,952,683,502,260,263,785,
397,039,686,405,895,507,382,235,602,149,451,403,810,549,640,530,474,767,730,
244,186,223,571,486,900,699,578,703,744,591,363,354,639,294,807,324,477,949,
130,117,008,603,154,018,005,893,328,258,953,732,385,476,018,367,345,635,729,
929,408,574,178,944,812,860,635,231,352,096,750,257,707,102,359,573,768,450,
685,655,329,188,474,464,026,117,595,243,594,149,029,168,258,600,849,539,663,
221,618,716,560,367,329,062,419,060,843,660,424,853,798,153,960,830,831,181,
072,701,400,361,550,691,140,480,313,535,685,218,529,252,516,671,343,355,817,
786,619,991,258,068,293,172,548,782,130,728,996,046,220,722,316,427,776,749,
346,301,000,749,483,103,606,310,965,483,537,942,025,894,078,624,108,519,978,
648,323,341,527,920,256,375,641,159,409,563,794,411,757,100,983,222,684,840,
509,522,428,231,240,276,178,435,190,458,960,353,004,704,680,255,087,138,104,
415,911,522,378,007,478,327,402,065,269,580,038,755,964,135,335,230,915,422,
822,924,002,302,910,688,665,691,394,579,336,376,587,593,729,483,815,085,467,
550,555,513,439,948,977,886,411,769,116,979,827,883,702,874,525,132,245,078,
856,226,446,042,677,384,466,614,202,250,965,124,499,445,008,777,778,862,128,
944,501,593,103,383,102,497,343,924,602,725,978,751,008,839,398,228,013,007,
160,354,652,363,615,946,184,326,837,073,756,210,562,452,267,910,292,027,400,
196,609,264,344,265,155,486,163,672,043,578,774,470,773,476,743,492,269,446,
366,292,517,516,098,300,588,428,708,871,554,518,162,004,770,914,044,098,712,
354,011,732,213,592,112,538,662,783,669,450,249,155,722,253,416,438,420,114,
113,948,014,261,477,038,884,866,359,360,271,406,714,879,323,717,883,967,287,
303,256,448,133,914,376,850,566,965,840,895,403,649,096,646,952,757,938,496,
386,567,421,742,120,176,606,317,236,696,693,409,221,687,699,214,194,229,196,
672,485,760,291,529,681,375,481,460,914,977,872,883,553,838,569,421,228,755,
602,361,837,938,775,105,821,068,382,919,425,336,992,001,042,456,987,517,433,
038,856,612,255,108,874,970,394,542,918,627,794,495,528,508,534,099,518,439,
262,306,820,137,437,586,216,965,997,952,706,286,856,459,325,840,201,787,403,
879,922,809,515,182,772,405,903,764,523,714,647,036,035,606,923,482,806,128,
887,036,085,904,621,738,328,041,604,490,390,099,485,421,348,677,131,986,737,
108,026,945,093,915,339,878,203,898,758,392,867,950,466,447,803,954,071,336,
179,233,515,024,208,293,294,727,904,159,714,212,268,518,535,706,052,818,200,
095,992,659,838,413,870,830,143,394,538,271,883,816,927,804,356,884,540,813,
261,217,755,739,549,374,692,289,512,826,239,285,421,103,011,622,253,028,603,
997,987,834,031,002,736,329,284,663,530,524,370,893,809,341,793,751,517,041,
063,665,299,073,294,261,781,307,259,954,216,199,724,635,038,424,814,002,797,
510,916,913,968,866,844,168,678,511,269,273,539,448,824,042,781,101,912,849,
493,307,376,119,923,105,367,587,539,817,301,116,045,951,333,637,244,988,974,
473,489,186,772,149,513,034,845,565,619,963,481,074,908,103,488,033,546,871,
201,431,088,843,823,182,529,113,104,367,152,198,221,415,884,466,881,371,676,
956,936,807,668,316,823,715,576,225,560,124,099,148,761,295,605,883,899,338,
324,791,888,016,346,753,505,190,612,474,274,514,495,777,336,685,231,878,477,
428,858,698,050,677,184,921,157,105,667,238,780,654,846,539,809,322,341,663,
882,298,863,283,794,481,413,749,700,800,821,015,415,242,714,512,373,140,258,
519,688,742,185,981,564,893,104,037,777,778,934,967,954,975,255,442,458,774,
673,203,160,729,446,077,845,577,226,588,316,465,111,458,809,489,934,642,797,
354,785,987,428,721,078,625,776,963,163,892,901,351,887,589,871,440,667,645,
909,580,816,794,465,941,961,652,750,286,663,232,166,874,537,799,252,310,711,
506,732,635,628,113,665,032,822,601,696,725,053,802,385,655,133,838,168,052,
021,935,688,617,993,638,012,776,760,798,712,246,614,872,908,836,897,811,193,
715,397,647,991,863,346,897,037,764,684,826,204,758,930,061,751,321,142,418,
171,045,044,491,955,454,316,768,101,410,486,809,996,237,368,739,258,346,033,
889,216,130,976,654,472,875,777,990,264,688,693,272,375,605,503,947,456,927,
413,819,227,177,686,031,907,257,315,297,019,959,562,739,586,696,191,122,659,
608,774,305,135,646,137,360,675,417,276,736,381,242,996,340,899,224,057,276,
297,212,546,267,819,465,807,046,212,843,551,102,237,939,918,051,092,499,862,
838,296,394,618,846,485,048,256,521,894,832,890,362,596,912,234,281,753,011,
331,816,287,817,066,016,468,650,401,635,682,866,443,556,367,959,129,893,567,
387,091,350,205,160,359,999,907,253,859,012,590,907,398,643,624,313,024,779,
474,587,912,830,351,395,837,522,646,269,660,869,086,659,540,863,866,907,240,
881,492,178,235,139,106,517,725,663,463,434,149,356,522,069,911,994,715,540,
670,075,831,829,019,789,707,712,225,087,331,675,924,661,973,558,900,833,973,
788,946,641,922,429,650,783,313,444,695,903,401,101,136,727,061,811,223,394,
521,413,228,403,016,936,068,515,409,079,214,722,349,119,822,070,433,064,273,
458,834,289,223,756,730,034,477,861,021,831,376,176,434,980,449,222,362,445,
525,178,930,839,072,354,012,914,031,799,440,165,582,996,419,745,860,239,146,
494,651,613,294,248,100,748,389,243,990,988,898,527,097,202,530,418,980,170,
078,325,980,235,828,029,222,537,903,623,573,350,074,884,901,483,742,094,684,
106,090,063,328,942,960,119,294,093,389,161,603,360,170,074,530,083,499,594,
616,137,304,662,940,233,565,498,847,312,235,202,520,429,399,214,665,679,374,
673,998,619,800,192,866,948,709,633,228,296,056,110,542,789,218,840,219,745,
824,724,003,679,876,680,320,099,076,353,025,432,982,045,546,797,240,958,283,
355,939,118,484,556,649,950,544,276,903,371,850,427,127,507,745,375,502,902,
415,203,035,254,917,305,402,678,025,771,916,692,816,404,547,577,116,060,242,
946,532,528,421,382,563,765,004,723,433,080,675,450,295,003,758,283,293,232,
641,232,891,998,390,492,414,129,592,781,012,341,085,609,507,481,135,974,149,
286,272,433,483,844,448,976,130,212,120,670,073,887,896,661,696,002,869,704,
946,105,511,684,027,458,439,662,688,045,838,172,436,615,004,458,985,849,599,
887,987,791,643,472,311,168,598,062,369,001,521,765,843,436,431,450,942,342,
982,624,142,504,480,701,062,980,915,604,212,044,805,774,535,441,532,789,897,
790,992,889,344,398,601,543,634,324,927,353,558,078,615,671,134,045,652,311,
893,340,385,914,016,446,909,235,224,602,344,861,082,732,772,214,902,927,196,
090,594,572,768,641,742,628,774,450,579,319,126,526,527,846,788,247,565,986,
106,514,171,737,582,021,866,285,938,327,186,322,554,071,849,500,406,408,986,
501,779,620,775,482,811,815,854,964,529,997,577,787,012,610,504,079,371,816,
551,452,883,377,299,377,194,902,389,886,985,523,732,795,757,352,230,737,360,
156,281,586,159,755,986,464,777,080,742,431,746,418,475,126,389,436,846,116,
005,781,431,945,658,044,457,441,192,965,384,044,760,281,014,355,564,431,056,
023,809,326,128,857,727,762,025,902,218,404,444,733,146,012,581,371,883,013,
128,018,484,060,566,254,342,029,992,133,086,771,692,689,297,482,780,171,950,
376,108,280,731,118,992,063,740,002,881,299,196,616,611,898,570,829,263,104,
386,552,044,136,202,977,460,204,966,951,078,562,907,953,769,540,218,984,985,
409,765,393,225,662,689,880,458,798,648,753,954,244,323,751,311,064,512,275,
041,177,807,615,347,596,357,494,126,960,598,092,503,229,524,182,972,841,164,
578,709,739,608,695,947,160,624,194,618,447,594,918,931,885,983,691,525,158,
641,310,562,835,505,021,936,314,539,470,547,516,339,306,369,201,176,695,389,
998,187,118,004,739,363,610,521,289,286,224,152,316,461,065,339,374,092,741,
218,597,493,352,919,274,807,608,193,674,389,749,375,640,818,310,188,533,066,
226,186,342,030,425,869,851,450,589,282,618,849,485,899,929,570,397,120,444,
427,672,701,360,036,994,482,868,443,883,228,024,331,020,059,989,790,826,393,
468,170,017,824,032,691,914,400,011,414,227,084,804,004,282,446,622,634,260,
268,837,366,298,859,434,407,369,117,718,497,109,499,572,826,358,652,095,280,
545,300,928,056,366,514,287,569,922,025,231,436,256,404,287,446,412,250,375,
947,321,230,203,283,387,911,767,929,211,668,752,871,497,844,873,701,223,883,
647,486,127,391,199,493,472,706,642,778,923,457,367,602,220,696,925,890,095,
813,612,684,718,261,887,677,270,921,167,538,656,100,055,472,373,660,461,340,
955,563,608,087,926,242,495,728,392,529,950,639,679,019,442,785,708,277,105,
466,026,510,548,527,718,259,043,554,753,703,611,017,496,895,603,629,177,917,
887,145,585,378,032,893,688,622,243,227,677,176,653,692,811,083,223,276,090,
696,768,596,272,383,471,768,658,728,485,120,020,897,383,521,280,642,760,253,
332,437,482,467,097,021,754,583,514,496,268,760,973,376,346,367,410,898,051,
568,437,836,253,718,323,762,474,928,015,033,483,045,362,803,417,012,483,014,
328,671,531,635,316,644,447,345,213,583,042,292,445,991,578,453,127,846,600,
215,146,739,325,106,309,280,663,244,082,168,263,589,236,556,058,012,309,892,
602,039,138,705,056,004,964,504,746,203,285,580,749,746,228,208,604,350,116,
597,296,153,524,804,659,633,388,233,489,395,635,503,821,597,845,604,230,613,
553,402,499,618,934,371,931,579,690,686,620,650,441,908,690,459,225,335,911,
951,137,694,233,846,260,429,895,535,963,937,070,481,842,010,987,887,374,122,
375,321,612,039,687,206,101,882,846,024,145,491,887,933,845,112,835,192,362,
842,495,628,845,259,110,275,284,008,825,844,415,517,983,158,741,811,487,641,
712,533,331,387,348,961,814,953,921,282,715,280,096,951,409,216,042,814,367,
460,681,769,098,152,644,637,423,466,883,394,893,212,950,894,272,384,906,662,
474,805,052,587,444,833,511,822,700,551,604,158,058,676,286,662,088,525,056,
991,743,983,770,513,057,621,942,522,258,211,949,638,552,537,061,111,331,469,
944,967,736,491,058,785,352,707,055,022,777,929,545,281,064,920,127,662,140,
708,275,163,084,772,631,767,823,539,251,307,522,339,972,425,774,310,005,831,
061,084,413,075,815,590,262,175,510,209,841,586,787,899,945,548,023,030,508,
361,708,982,503,645,626,456,253,814,029,767,904,296,167,433,684,330,597,585,
006,207,615,850,130,521,349,577,777,575,414,748,422,472,118,852,901,717,699,
987,108,879,697,942,270,618,343,123,345,733,623,068,513,607,997,697,156,190,
839,417,601,142,367,223,723,696,320,739,388,382,554,885,734,440,141,614,096,
636,789,186,628,659,271,286,570,264,359,306,890,782,601,225,087,017,548,856,
985,220,356,646,576,154,311,315,398,207,554,864,551,675,177,950,435,625,835,
092,844,279,555,286,583,472,981,735,615,180,813,923,022,388,695,970,115,247,
339,410,057,479,856,967,987,321,484,313,658,887,835,493,150,680,093,194,986,
611,233,165,616,380,195,315,004,093,457,208,202,203,143,489,311,029,422,437,
448,538,010,319,456,177,978,894,266,575,895,257,111,687,152,537,402,470,437,
158,809,338,164,427,713,260,553,737,498,369,674,885,916,577,732,939,267,608,
756,142,739,619,353,829,715,010,729,204,187,105,202,022,820,350,682,932,456,
453,671,536,845,452,677,859,365,984,364,325,310,840,489,619,182,305,132,549,
251,933,470,928,913,802,116,854,246,363,917,979,167,804,440,457,794,107,208,
031,586,913,326,243,284,318,564,988,981,098,712,983,677,785,909,006,566,118,
745,845,970,628,789,832,693,765,191,222,404,532,701,708,934,273,587,423,708,
907,332,173,642,069,171,643,818,448,434,005,721,698,029,445,599,246,603,688,
568,848,980,745,913,427,498,306,523,265,025,813,273,194,255,570,916,295,737,
093,088,598,396,858,009,906,743,300,569,814,618,925,819,271,377,448,793,873,
463,428,369,025,323,966,660,674,708,057,736,937,257,368,298,685,152,276,318,
758,956,870,178,105,939,548,187,056,771,533,530,825,860,008,384,508,284,915,
156,307,584,322,127,228,876,709,871,371,214,896,691,323,317,965,193,605,807,
025,592,463,234,341,513,604,205,816,538,546,101,108,955,638,988,439,097,499,
718,403,733,670,363,822,317,522,411,541,423,183,089,234,577,950,439,436,659,
875,564,928,229,337,559,415,967,666,095,465,821,997,818,462,834,925,965,163,
128,000,197,640,083,953,246,654,536,654,097,708,920,817,642,668,420,311,304,
898,064,833,539,390,619,091,945,119,435,455,326,217,924,980,907,780,025,346,
979,655,587,668,994,584,465,720,311,788,876,890,314,691,424,054,287,524,567,
797,308,612,566,237,816,482,847,149,531,608,248,726,459,384,779,093,012,638,
147,737,052,714,438,952,892,774,849,944,335,245,486,928,009,324,896,261,362,
139,023,498,971,902,227,655,247,117,256,794,838,592,228,966,949,961,390,418,
061,631,554,868,792,994,202,686,380,789,587,411,157,940,707,222,645,044,653,
683,944,728,171,903,820,223,325,940,667,807,992,388,834,303,916,842,534,237,
062,543,617,159,828,256,999,588,615,419,809,145,252,888,035,290,394,531,807,
836,794,592,691,199,629,514,557,051,856,274,697,518,785,521,344,099,603,100,
558,121,418,462,842,040,519,239,604,284,537,029,871,540,768,425,626,881,884,
214,784,254,358,686,427,632,242,461,421,139,940,357,177,599,724,966,533,714,
679,406,974,828,184,122,573,235,552,082,090,726,841,361,304,589,690,298,615,
508,302,199,922,262,323,944,199,897,675,183,233,336,448,432,718,873,995,061,
847,344,683,055,545,622,732,367,492,666,653,454,100,198,347,639,191,521,252,
262,250,486,605,636,105,894,765,464,113,175,107,239,933,013,904,238,345,482,
644,503,164,827,396,026,100,929,170,595,015,192,124,316,123,043,903,915,184,
360,701,044,914,832,707,713,730,547,638,039,268,337,377,980,507,690,747,067,
216,157,909,427,860,926,542,792,473,164,989,902,993,208,445,979,197,142,354,
262,792,597,524,283,962,036,040,360,034,572,993,545,486,027,771,768,899,562,
368,916,876,077,022,421,808,377,581,604,688,093,563,860,807,079,538,197,225,
428,257,603,040,943,604,158,922,788,899,703,990,554,341,623,710,980,131,527,
001,238,932,865,016,552,307,152,668,179,815,740,109,958,108,973,952,980,184,
203,645,483,725,378,907,465,616,812,333,598,083,280,808,271,429,170,040,463,
909,567,917,439,451,577,508,253,573,181,329,581,758,174,264,967,210,064,405,
574,467,916,561,904,253,600,660,949,979,406,003,735,817,527,058,309,039,955,
575,950,885,426,150,263,338,554,564,287,987,650,942,582,582,054,153,265,511,
650,967,756,811,449,369,264,988,857,054,982,236,036,379,476,302,213,260,908,
256,717,102,140,041,802,370,410,456,018,350,049,109,987,332,516,741,027,793,
070,039,703,458,598,577,723,519,944,407,646,780,576,075,822,614,644,251,886,
930,523,086,834,802,124,270,058,153,886,046,887,105,918,238,362,863,844,842,
594,382,777,931,663,235,809,709,724,895,438,191,110,957,529,343,347,514,502,
586,640,872,929,500,194,936,434,064,629,819,593,231,199,597,703,426,850,689,
967,579,724,188,800,588,212,467,805,491,045,938,937,829,480,414,188,095,569,
357,719,243,400,219,938,528,792,937,740,941,494,736,366,713,816,009,589,398,
907,215,514,864,764,274,086,077,106,686,054,766,988,472,407,355,711,847,959,
531,433,464,443,400,802,617,005,750,144,595,686,578,334,625,015,425,637,705,
432,559,353,868,881,085,955,589,118,276,052,611,029,825,079,441,472,630,100,
288,578,732,432,968,899,870,876,002,465,924,102,670,466,878,653,774,528,453,
556,931,468,248,797,858,363,187,693,251,283,964,678,423,094,186,763,538,127,
312,265,476,685,535,410,671,293,367,391,876,563,253,137,306,641,004,355,527,
913,693,287,752,284,876,893,870,558,881,263,812,670,022,588,636,836,852,914,
311,464,258,770,309,338,609,738,383,811,694,634,376,129,341,623,369,993,229,
113,039,346,481,995,410,392,865,641,126,982,574,728,894,379,593,325,356,570,
998,012,887,250,441,867,554,086,636,310,410,936,223,356,609,384,710,798,642,
217,416,301,436,522,505,069,447,223,190,639,346,217,918,489,590,662,924,170,
032,509,921,505,239,368,490,391,002,492,332,652,262,036,320,272,126,994,329,
233,637,917,411,464,621,790,938,200,546,423,048,998,079,514,198,191,135,476,
735,238,970,316,373,546,304,419,453,152,368,001,981,715,868,612,879,738,689,
107,042,398,619,584,651,286,961,915,509,160,554,637,732,429,683,718,404,515,
801,945,306,852,069,828,662,704,335,919,840,438,561,537,820,558,535,101,675,
732,607,741,716,732,915,575,326,987,973,240,054,801,959,348,569,820,127,223,
894,092,106,891,168,589,394,952,957,192,507,079,723,060,793,542,262,330,444,
192,077,986,706,036,583,616,097,726,566,028,272,478,366,205,466,342,408,944,
350,593,663,276,972,975,499,398,741,335,086,505,853,830,593,470,701,198,397,
256,737,222,601,557,643,915,227,791,784,359,575,134,905,898,643,056,615,716,
386,865,168,560,651,670,963,880,924,202,552,316,239,341,779,054,059,935,296,
973,616,350,889,765,181,200,471,873,555,177,865,336,227,598,922,875,232,427,
764,584,689,209,116,950,528,511,634,778,578,562,005,472,596,148,053,073,993,
409,268,417,870,511,685,138,983,338,937,695,460,279,477,478,664,355,311,767,
971,695,620,543,118,179,243,533,576,014,170,799,775,712,191,465,161,890,984,
096,074,572,957,765,027,308,107,291,780,343,782,801,194,147,475,779,284,307,
380,256,566,567,339,672,717,948,751,556,762,886,089,065,536,445,435,924,485,
407,412,207,686,979,537,762,360,888,108,116,351,554,511,598,883,979,959,467,
319,530,305,913,001,639,703,679,503,511,727,177,453,904,579,198,199,874,926,
992,221,579,158,581,928,332,836,657,825,612,167,960,302,802,620,090,548,190,
155,227,208,793,478,706,778,199,688,669,292,838,114,869,597,106,526,113,729,
157,687,503,435,263,195,430,603,069,859,488,936,921,532,042,129,838,523,949,
704,195,500,851,854,137,894,447,502,624,516,654,446,728,517,515,767,208,307,
701,450,387,120,563,970,310,180,908,090,917,528,712,698,899,732,132,502,627,
993,745,921,448,626,150,204,813,023,853,488,556,581,689,759,550,152,224,374,
458,941,562,456,016,377,211,776,472,545,631,457,535,417,678,725,137,344,738,
691,026,340,392,132,100,733,336,552,518,844,964,010,355,171,664,269,191,691,
990,369,628,429,923,293,787,701,622,684,124,586,585,381,156,016,912,010,382,
392,281,076,903,173,394,069,525,555,694,980,939,572,061,354,316,310,281,641,
209,233,039,312,813,929,595,620,455,331,552,966,253,857,110,268,908,376,564,
035,980,207,201,926,784,393,999,857,001,546,716,597,379,595,002,670,667,926,
273,999,658,996,930,204,146,439,960,798,127,273,998,176,182,906,134,209,071,
619,031,480,802,116,290,920,280,917,266,377,564,535,055,959,953,601,408,811,
122,939,473,527,763,083,166,158,920,170,121,051,816,076,529,809,846,857,421,
857,133,378,563,634,773,851,775,790,853,386,867,453,071,903,819,471,226,547,
268,771,658,893,621,671,273,883,357,427,557,317,893,375,804,051,590,754,162,
494,950,749,091,884,760,528,762,650,857,988,971,519,657,424,325,230,765,356,
170,743,514,661,228,308,009,939,170,111,865,827,086,735,521,431,844,762,330,
080,930,937,958,563,085,798,456,261,145,344,104,038,881,019,487,060,041,747,
792,320,644,448,590,497,268,900,834,747,878,159,143,046,519,791,416,261,003,
679,713,685,407,533,827,657,888,190,084,477,852,558,857,471,008,003,568,353,
944,592,113,837,279,601,801,063,448,164,010,989,682,237,657,645,046,011,606,
716,888,166,922,578,277,371,890,213,273,874,250,054,718,482,976,307,375,455,
142,248,915,857,962,426,396,857,107,868,865,330,110,473,433,575,863,532,410,
074,979,325,101,772,867,938,272,289,615,229,621,079,090,044,859,413,303,405,
187,709,060,650,464,553,473,247,320,183,401,758,781,785,335,429,824,534,634,
014,465,417,093,933,993,929,620,654,575,761,675,675,986,756,688,763,869,552,
535,601,227,512,717,797,551,657,843,312,976,780,079,045,064,021,011,712,039,
585,974,932,422,191,613,101,771,879,412,503,952,591,973,820,615,346,526,234,
375,048,054,431,144,482,382,043,735,372,076,508,106,881,523,725,094,509,380,
472,839,634,060,373,093,907,189,527,505,204,239,623,356,148,369,569,730,498,
241,256,799,657,770,720,764,788,555,105,016,178,305,317,760,819,550,585,352,
049,505,065,420,568,586,167,175,515,692,216,293,101,256,375,737,208,454,609,
361,811,770,049,471,201,985,997,556,505,508,384,766,971,892,723,112,722,664,
436,595,067,732,185,185,717,368,595,791,567,946,462,528,272,666,161,847,541,
178,192,163,604,685,419,547,983,795,728,440,146,899,717,098,729,842,921,896,
965,465,493,761,987,513,998,361,364,677,680,094,297,554,158,009,803,346,604,
553,602,011,908,861,674,991,354,193,917,123,915,192,980,739,215,759,261,192,
743,801,251,963,329,651,059,110,225,041,001,671,337,896,375,381,973,101,501,
812,190,333,136,233,592,320,275,128,087,192,637,903,851,971,124,717,407,110,
906,238,132,839,439,262,902,315,216,535,738,011,958,715,306,756,503,144,826,
614,264,299,204,166,064,692,229,003,452,433,001,749,761,494,281,642,898,472,
885,762,510,429,274,690,739,765,646,515,134,663,506,581,557,498,391,051,457,
503,241,520,667,628,039,464,497,817,538,468,929,066,246,987,204,365,020,500,
450,825,604,204,376,272,220,029,263,807,885,858,013,865,880,226,595,104,136,
915,921,262,764,459,018,335,074,175,288,044,344,859,849,475,044,896,632,640,
770,293,126,705,055,411,051,499,394,191,777,956,665,754,569,164,744,645,269,
755,222,950,995,100,145,985,053,615,056,485,260,073,713,263,685,877,693,933,
575,285,715,004,628,519,502,968,214,080,785,021,716,185,334,771,691,970,128,
346,582,492,487,849,295,874,989,550,655,973,573,851,875,006,623,627,037,140,
756,783,803,627,501,772,716,825,217,196,799,932,975,976,291,231,082,298,376,
413,637,392,525,307,539,327,918,962,416,426,587,055,953,921,886,978,279,878,
961,179,759,009,791,812,655,975,837,104,506,945,029,685,300,352,364,121,547,
812,363,017,881,542,948,772,335,005,788,179,197,289,203,716,975,058,124,441,
238,483,310,119,665,511,452,662,376,709,054,768,346,286,709,686,761,515,384,
825,769,350,848,069,720,775,916,019,450,820,200,837,369,919,155,427,519,837,
272,516,025,871,682,982,963,248,219,810,627,378,894,518,573,470,619,729,965,
446,215,945,160,941,105,679,273,138,956,726,999,138,676,105,886,262,839,179,
477,073,508,273,170,801,994,630,372,453,618,286,076,645,889,239,226,272,224,
690,600,036,378,114,902,858,863,887,701,977,957,149,714,358,839,448,710,763,
745,177,046,360,820,709,609,627,399,380,983,037,984,454,683,451,270,013,779,
814,143,970,108,744,798,115,288,215,431,478,529,452,382,388,532,712,396,226,
600,827,197,724,937,347,880,545,689,235,326,753,656,341,726,014,246,769,538,
413,035,940,085,562,641,078,018,980,926,943,341,595,295,957,789,007,439,118,
391,819,868,745,782,369,116,089,474,734,976,696,857,875,803,767,563,273,794,
372,529,552,150,482,495,390,559,198,496,260,968,719,489,453,073,886,442,765,
559,051,543,788,830,816,841,622,122,385,051,324,195,395,095,995,797,656,813,
919,064,367,252,269,420,577,788,668,797,039,931,870,875,228,006,737,273,549,
636,540,233,453,751,286,994,159,401,976,489,166,334,509,107,563,930,017,699,
888,740,612,090,151,457,486,673,270,865,915,652,633,644,625,322,010,922,058,
736,228,643,403,434,796,417,066,229,782,836,453,513,492,065,930,921,754,422,
153,025,861,136,482,956,065,537,876,359,429,911,370,760,944,943,236,395,575,
685,509,983,691,742,672,627,834,145,999,934,449,719,991,782,714,967,833,402,
612,609,690,505,125,678,033,828,784,748,904,107,455,512,395,361,731,317,515,
901,410,159,531,596,829,557,857,391,649,708,235,815,847,341,853,243,562,812,
334,911,020,013,075,370,661,222,412,897,097,046,296,203,844,510,838,371,196,
292,860,775,488,790,686,713,680,780,876,699,541,565,020,848,491,093,357,768,
214,285,403,540,006,065,461,932,327,365,932,295,508,054,156,739,300,589,604,
540,558,199,703,137,440,664,955,569,468,941,088,611,520,804,525,232,485,109,
085,825,562,889,686,308,384,949,639,707,203,678,789,232,809,276,427,471,464,
051,317,552,770,368,274,380,805,511,442,182,647,959,945,097,011,272,610,248,
409,749,760,590,601,303,495,860,887,771,528,020,214,399,106,030,632,687,061,
150,764,727,137,216,793,718,522,854,170,669,449,026,078,177,471,163,339,042,
726,090,491,214,125,570,216,082,715,023,318,648,946,717,612,745,444,285,340,
587,195,005,759,223,537,622,068,253,306,136,850,081,266,951,769,320,620,860,
450,771,061,663,682,230,057,767,124,183,861,592,326,562,056,004,352,398,870,
460,501,311,015,056,207,959,327,911,710,826,414,869,222,374,602,948,423,839,
688,206,118,744,209,138,403,973,850,877,266,214,654,213,411,014,722,876,481,
368,402,399,552,434,232,101,521,707,776,916,003,812,357,430,943,955,918,212,
160,491,779,249,755,464,938,171,080,332,015,819,285,580,748,149,084,746,792,
678,402,717,069,445,392,668,342,327,891,721,307,778,586,545,622,730,975,970,
732,837,120,245,214,833,688,638,368,317,564,999,012,954,251,433,821,788,844,
497,691,274,992,322,897,194,319,101,537,085,560,928,482,451,480,784,581,683,
974,090,311,206,400,049,133,280,845,111,636,412,607,246,350,442,401,543,054,
137,338,531,217,533,411,605,555,324,457,608,483,640,436,488,969,787,166,954,
165,843,026,813,738,253,796,261,029,482,325,721,809,759,088,346,490,942,494,
304,781,609,935,596,250,502,910,359,339,396,448,980,049,135,964,746,932,758,
077,362,867,055,532,619,930,938,937,608,891,015,865,734,790,484,194,171,808,
310,991,646,526,024,613,067,937,252,968,298,534,897,209,119,850,668,254,213,
022,207,214,589,708,966,113,975,987,288,464,584,586,536,434,699,679,593,906,
350,425,077,163,206,783,168,557,444,884,855,190,927,561,736,301,962,330,582,
497,287,673,499,943,400,427,007,944,176,277,823,535,894,997,423,079,522,183,
562,271,513,165,609,244,012,392,549,612,187,489,384,768,131,667,273,203,662,
328,043,286,044,187,836,475,028,894,766,331,213,884,255,868,316,464,231,757,
214,033,042,082,757,520,712,627,487,597,635,832,269,466,765,917,629,140,170,
323,112,751,861,809,875,072,733,502,395,205,694,783,702,329,024,865,493,005,
119,949,996,452,890,274,061,055,689,252,950,297,987,578,783,257,788,620,561,
063,113,002,540,380,558,001,156,982,370,137,685,448,559,413,741,572,120,257,
050,464,414,951,109,287,527,978,097,474,850,571,403,840,311,865,949,010,398,
066,586,915,665,334,015,916,793,361,516,462,373,155,816,763,712,628,266,756,
404,716,378,238,440,885,237,544,538,660,634,062,048,225,992,164,518,541,638,
000,092,300,437,390,800,696,986,560,601,890,041,007,526,201,501,066,918,044,
197,838,055,038,956,052,572,718,060,757,040,304,148,524,400,389,113,294,856,
732,746,206,249,521,482,007,044,937,045,848,072,622,424,466,990,188,414,755,
913,968,824,471,077,957,689,652,331,157,896,842,967,977,490,847,620,663,334,
629,993,025,272,456,249,479,884,000,360,527,476,737,767,690,193,420,522,503,
101,881,438,929,779,599,457,059,125,448,754,047,269,068,046,958,158,884,153,
021,171,145,675,955,119,076,248,253,328,133,324,661,320,947,472,317,135,408,
336,225,322,488,072,314,997,079,422,341,902,343,802,673,372,599,252,336,673,
106,972,207,915,723,085,400,839,375,032,610,196,531,735,997,579,542,327,312,
839,437,282,278,537,159,976,515,649,457,210,800,193,646,374,340,958,627,966,
553,094,130,232,150,923,616,639,711,016,736,564,603,216,653,542,311,263,251,
559,460,154,145,273,758,260,180,970,930,084,753,205,403,184,169,902,429,723,
666,018,229,265,726,523,778,494,764,851,520,774,055,673,486,298,667,171,152,
431,879,837,979,087,371,202,568,641,788,813,788,447,517,352,282,061,175,249,
130,372,994,486,645,807,821,203,906,336,531,086,837,401,788,515,818,417,808,
579,404,512,274,942,528,786,473,436,525,843,446,364,056,192,367,889,026,327,
271,804,884,712,427,215,348,902,984,773,581,166,263,830,179,740,971,867,220,
874,482,734,651,388,750,120,624,985,798,186,604,855,240,891,806,200,292,592,
002,568,193,384,531,587,920,832,902,301,003,763,279,671,182,180,585,411,161,
836,968,963,868,719,032,789,656,552,127,654,630,966,451,634,158,314,444,151,
693,763,812,394,888,396,259,901,726,115,686,490,174,367,780,065,382,731,297,
616,326,097,777,231,760,112,777,215,398,036,365,348,599,471,025,018,412,917,
290,377,654,935,801,519,223,606,916,150,351,587,362,457,486,021,282,084,406,
425,343,337,552,118,376,071,867,062,661,486,235,981,646,035,834,766,750,800,
051,639,280,767,105,829,518,959,230,212,770,824,160,587,078,629,226,261,094,
447,687,984,671,318,110,718,283,877,536,485,804,524,784,135,047,263,868,481,
286,339,817,447,137,814,438,572,838,229,844,360,253,104,258,128,405,671,068,
853,517,937,370,756,666,515,096,040,128,872,782,458,597,086,831,953,043,672,
282,336,240,128,666,641,406,469,692,120,093,583,137,292,533,172,003,745,810,
569,448,494,946,376,346,352,618,163,895,822,108,450,201,574,474,698,738,507,
182,751,076,677,450,014,711,486,531,684,487,720,407,417,738,176,958,665,256,
425,556,202,204,716,449,344,819,284,154,875,750,280,213,464,550,921,439,784,
060,987,553,059,341,819,774,872,145,313,703,712,143,264,160,155,105,545,876,
464,312,197,173,317,075,719,256,065,807,937,132,788,736,592,646,398,678,942,
701,639,966,750,079,088,800,160,665,876,969,213,268,426,773,664,589,677,069,
403,205,835,075,619,179,706,718,539,613,338,122,834,887,337,956,659,547,310,
180,378,894,009,378,045,775,219,216,749,500,131,375,653,920,757,862,697,144,
773,051,212,215,465,845,586,111,379,046,523,438,866,890,902,292,385,609,779,
355,016,851,656,362,026,283,314,339,430,662,827,988,026,356,307,663,997,527,
883,544,548,256,938,206,982,974,235,232,358,119,887,443,703,486,802,957,527,
160,491,167,342,314,820,799,095,504,092,876,349,919,292,093,860,855,524,625,
791,847,190,235,762,739,822,192,615,326,813,599,767,174,524,408,067,107,514,
751,567,886,258,029,851,241,493,895,620,699,213,946,686,180,393,113,297,470,
773,977,445,386,386,403,745,264,608,736,807,443,074,508,692,400,813,394,870,
059,095,298,622,501,320,886,750,797,829,171,661,614,754,026,962,057,498,635,
688,493,531,390,257,810,649,811,525,450,297,567,679,505,164,975,197,795,556,
048,727,125,717,034,148,866,108,942,041,693,917,734,200,012,126,230,823,890,
955,216,685,697,721,376,664,070,470,332,596,814,702,764,773,057,400,374,583,
866,776,809,105,084,608,325,790,658,239,703,826,198,540,334,576,222,058,551,
799,417,718,436,165,687,572,810,600,925,338,336,458,362,605,707,759,652,283,
555,588,788,620,467,301,717,554,463,307,118,369,660,724,515,896,751,828,813,
900,815,890,561,172,084,369,591,448,141,150,783,149,595,924,197,013,078,567,
668,621,746,246,703,088,699,509,926,654,513,255,861,034,436,615,173,576,698,
423,537,818,156,215,209,492,210,103,338,193,952,062,385,341,956,524,558,811,
412,281,186,269,622,228,722,130,989,860,636,056,182,731,458,423,804,463,858,
865,942,053,130,754,656,060,257,877,134,968,648,031,402,924,980,110,961,080,
218,539,898,345,892,042,819,353,221,879,778,525,241,114,267,169,563,926,158,
091,296,629,265,244,842,063,067,810,617,425,975,050,941,330,149,389,175,196,
780,112,767,066,785,517,345,679,589,974,113,436,256,001,839,794,183,175,295,
699,949,529,366,201,156,720,223,142,428,393,008,551,660,496,811,235,364,590,
856,228,928,519,673,703,463,653,331,786,976,651,708,734,218,546,436,070,001,
480,272,435,647,248,930,847,625,577,279,699,450,686,636,923,444,083,580,925,
270,220,473,732,757,311,327,034,630,120,257,003,179,156,498,974,354,151,850,
639,118,873,580,929,767,652,540,353,009,220,112,801,205,481,683,396,350,780,
324,765,298,933,771,436,173,651,421,571,518,616,637,498,015,452,464,850,621,
427,500,643,783,429,218,554,808,901,251,139,474,899,608,541,313,298,394,978,
293,809,974,703,991,853,681,918,574,957,993,325,448,858,515,347,041,064,831,
687,294,253,669,586,722,443,552,065,358,714,712,091,769,063,495,885,824,911,
628,886,228,967,311,663,847,798,662,881,955,592,528,075,215,166,529,709,460,
385,268,446,880,071,914,273,825,206,314,894,021,738,813,148,537,497,327,529,
083,280,278,722,104,958,611,587,015,864,081,547,180,749,423,112,114,468,183,
831,714,034,034,151,601,469,019,946,851,327,677,537,723,985,400,033,956,111,
065,477,735,290,777,813,978,829,912,936,607,174,070,579,387,887,641,189,537,
549,304,501,175,026,429,955,545,668,861,422,900,519,308,495,514,391,209,941,
279,661,997,900,727,374,176,772,454,735,676,035,624,769,473,977,790,619,105,
346,352,862,565,860,248,653,857,214,005,221,456,994,667,430,113,807,521,499,
942,967,827,909,178,994,118,593,546,820,989,905,535,274,951,525,997,168,733,
833,222,436,298,579,931,560,853,941,944,029,794,534,403,117,879,096,853,801,
230,567,215,674,270,103,028,206,437,097,314,339,699,365,058,743,825,719,952,
531,279,556,801,853,277,458,924,950,071,585,410,417,941,429,891,624,806,975,
861,110,746,422,665,593,796,191,328,052,203,733,281,519,564,669,441,060,191,
678,608,053,882,354,348,761,833,192,244,495,349,542,321,793,303,496,313,888,
271,308,409,785,446,170,115,054,796,093,948,369,632,102,555,874,247,908,406,
513,691,173,654,203,200,416,323,438,797,859,963,881,098,478,165,420,930,250,
427,187,171,066,238,314,084,801,544,381,435,356,976,218,095,744,487,601,303,
173,712,166,037,575,186,232,659,500,931,268,793,053,214,567,266,557,243,855,
460,578,655,578,798,599,000,455,816,982,478,759,637,905,085,341,970,626,039,
696,418,673,657,858,093,448,106,070,252,734,594,799,673,496,569,151,215,076,
103,525,617,496,750,582,069,817,029,319,718,262,580,519,607,235,405,367,674,
812,474,252,822,662,289,193,292,026,117,419,913,139,910,673,190,580,888,240,
427,126,571,599,307,500,309,968,516,607,475,429,465,154,606,434,852,996,792,
361,953,792,017,263,123,895,809,632,415,302,370,236,547,714,764,311,134,524,
330,079,980,205,234,030,651,614,960,271,637,017,160,170,845,853,344,495,027,
775,065,340,679,028,329,038,817,101,308,597,755,201,031,953,753,418,168,051,
429,918,866,238,804,145,348,267,813,337,765,558,857,846,618,577,065,420,721,
615,055,227,255,980,992,614,671,190,647,068,034,084,311,939,427,705,165,402,
426,467,979,468,609,898,715,311,889,710,365,082,997,692,378,094,558,225,290,
139,525,719,393,606,373,066,104,519,834,579,157,823,073,823,928,933,810,576,
212,347,381,771,500,564,539,713,204,455,660,662,838,689,758,762,823,071,874,
134,702,489,952,946,467,797,086,491,266,913,478,888,979,438,835,962,336,638,
424,414,375,758,822,192,673,918,195,185,245,194,933,764,900,260,132,770,128,
880,415,439,997,930,084,288,803,483,325,245,597,737,678,381,156,749,692,480,
537,864,971,971,464,304,085,993,619,307,591,368,742,963,756,299,787,468,658,
966,235,898,302,390,547,656,331,714,199,100,289,414,155,647,095,271,842,676,
090,773,227,179,570,879,736,484,021,197,041,151,005,867,988,661,052,454,491,
593,798,853,408,362,209,367,399,428,947,306,460,079,981,776,007,094,321,520,
618,255,302,666,664,692,509,276,915,205,303,195,236,806,051,805,166,021,845,
437,229,338,600,398,152,257,011,097,445,499,305,471,052,986,032,373,505,590,
014,514,806,158,263,951,476,087,177,020,893,230,103,739,960,432,503,695,518,
824,753,277,277,967,301,270,376,697,080,330,086,300,794,422,977,921,222,156,
107,761,868,713,790,248,513,566,220,107,779,645,996,492,617,003,694,587,297,
616,423,119,412,934,253,424,303,923,014,723,598,274,456,785,275,336,746,743,
309,778,298,717,519,793,754,995,306,217,450,863,945,542,768,455,293,049,819,
749,455,329,641,189,372,277,332,767,573,607,535,951,032,080,215,120,865,297,
634,552,707,135,988,096,508,163,715,744,865,721,058,852,465,011,601,817,538,
688,719,878,353,739,932,915,836,153,857,781,636,268,491,364,425,619,882,040,
382,112,959,757,563,441,559,998,305,211,193,428,538,655,102,718,096,245,375,
399,442,111,899,024,697,303,225,324,696,076,855,478,719,605,377,296,602,828,
611,860,883,551,299,957,842,413,933,602,430,983,104,815,543,601,896,454,633,
558,914,897,355,297,082,212,139,495,561,669,096,474,177,787,510,350,051,355,
003,200,357,067,824,822,559,234,165,022,398,811,016,906,108,826,659,767,276,
159,238,813,874,347,940,715,193,742,524,449,414,331,797,730,373,817,524,829,
466,613,158,668,498,136,553,562,525,529,522,198,253,154,679,328,025,713,211,
349,796,554,054,852,520,439,179,683,407,494,295,773,333,162,657,422,613,924,
613,344,107,628,505,489,719,336,775,010,888,048,820,182,773,021,141,581,108,
678,307,438,807,286,351,827,586,192,977,362,478,698,326,458,998,492,643,449,
790,581,071,611,551,623,585,814,469,989,051,384,278,769,568,580,501,956,664,
875,948,520,417,433,880,131,259,678,442,602,011,292,996,994,627,506,415,799,
660,657,392,626,088,733,793,781,352,031,402,608,743,238,643,793,270,675,618,
145,625,268,371,205,332,998,814,420,144,201,867,973,718,473,311,067,910,152,
554,974,076,880,539,281,199,989,607,101,772,985,970,190,156,050,483,428,200,
065,853,437,605,708,852,425,300,698,332,622,022,382,084,927,157,983,111,609,
173,734,856,155,124,321,277,069,831,628,339,883,651,034,762,152,456,458,790,
628,822,630,384,017,817,777,332,676,458,894,400,696,417,648,260,554,859,190,
344,159,440,485,790,032,482,475,441,153,930,041,036,799,005,617,037,277,862,
636,673,583,264,285,679,601,956,926,225,078,554,424,558,167,300,868,731,424,
547,053,245,907,605,708,655,863,841,306,724,134,324,384,103,098,159,296,988,
027,327,359,855,594,998,876,537,847,875,572,777,143,721,237,156,400,607,565,
256,409,307,483,464,730,591,513,678,996,743,271,974,324,983,058,079,776,345,
129,312,162,784,753,378,233,006,064,154,204,795,478,904,463,915,299,546,287,
938,018,333,875,002,086,983,998,630,407,363,267,939,956,000,739,057,665,061,
415,489,399,861,962,902,885,463,870,602,882,208,877,751,003,355,586,638,855,
324,923,343,480,111,464,883,144,823,442,472,482,152,213,772,163,227,652,996,
553,414,211,555,037,956,292,692,423,411,919,821,284,970,447,088,364,518,536,
391,406,961,833,083,072,360,547,724,131,158,021,624,194,457,723,416,536,767,
943,837,750,510,661,722,023,136,801,496,920,445,488,751,146,753,439,892,376,
014,587,555,436,804,849,942,277,784,313,653,121,996,100,418,453,142,302,984,
700,546,155,930,790,313,583,192,102,469,137,864,046,594,030,894,082,000,146,
881,914,810,149,072,752,271,733,796,169,447,668,957,319,645,213,785,791,738,
571,512,825,750,834,989,593,779,375,038,812,885,327,316,925,251,617,092,430,
063,798,309,671,259,500,715,260,296,428,183,020,324,515,315,884,223,542,146,
101,827,998,121,039,471,142,948,040,913,128,688,089,691,868,497,314,417,986,
380,163,203,904,488,325,682,656,886,440,067,589,726,352,921,847,618,013,532,
030,872,850,904,959,046,800,119,937,432,271,177,422,735,603,165,243,880,849,
127,274,269,650,445,014,312,789,439,675,759,129,303,025,435,730,740,093,865,
715,671,470,979,672,790,761,368,039,584,138,565,706,679,065,136,057,019,289,
669,856,232,191,380,790,269,066,408,137,492,340,393,581,985,924,303,315,429,
923,821,017,465,357,467,082,423,185,043,116,652,728,483,554,252,397,200,894,
787,713,712,652,595,209,594,772,165,029,483,864,903,240,927,302,857,658,129,
927,911,733,976,781,446,540,325,081,305,815,559,705,257,541,210,002,444,622,
348,606,721,331,946,440,956,015,232,237,773,522,334,405,351,377,772,808,654,
629,079,013,203,277,504,832,501,417,360,741,308,654,512,272,085,834,506,588,
471,103,645,157,918,236,879,589,373,205,713,706,685,317,287,331,587,594,096,
451,396,715,319,883,981,552,108,127,755,944,897,570,214,305,834,204,182,680,
103,339,695,075,492,208,492,291,297,682,874,672,168,798,922,727,229,658,408,
359,640,741,464,110,842,630,276,552,725,195,434,781,270,341,875,846,358,364,
833,204,034,998,434,901,742,652,543,822,731,327,705,802,960,019,609,034,997,
545,650,941,909,423,262,665,149,152,962,680,245,516,409,964,325,686,822,608,
478,262,313,264,471,671,584,369,323,185,984,904,195,710,864,226,138,422,613,
982,859,009,125,998,724,585,660,935,543,144,224,474,489,979,234,745,987,235,
800,804,449,924,987,452,360,187,434,680,362,518,475,224,126,263,733,465,508,
991,316,245,126,664,387,491,164,120,865,401,820,068,043,757,734,971,000,392,
765,673,588,190,643,524,654,922,594,709,584,052,789,959,422,819,693,227,413,
530,453,033,435,456,884,802,477,658,621,771,187,910,802,197,752,416,420,708,
886,339,462,289,768,216,058,289,908,707,455,012,143,815,176,934,326,660,851,
725,791,722,960,087,899,237,983,853,559,370,667,713,699,816,945,066,363,942,
516,743,246,642,946,233,634,034,750,767,187,361,205,864,140,768,456,258,597,
312,594,656,083,724,126,341,100,950,004,152,135,660,555,246,860,177,952,922,
810,081,428,989,880,865,163,209,511,981,019,537,653,859,033,641,441,246,173,
353,192,821,423,586,260,347,525,521,712,456,733,378,461,771,758,541,803,852,
452,850,928,133,493,821,791,530,312,537,802,767,166,864,668,462,640,306,269,
983,161,908,614,132,926,688,163,168,180,601,282,127,056,791,768,808,674,004,
270,635,817,665,740,083,396,286,515,389,550,262,556,365,853,723,506,075,389,
288,806,794,923,112,613,963,650,864,845,038,557,806,264,101,093,939,966,047,
860,355,352,369,410,817,940,134,221,812,312,204,868,233,254,054,192,553,935,
618,837,509,674,989,872,959,923,643,757,465,259,651,828,624,169,148,908,331,
210,274,011,648,738,060,775,015,063,579,547,104,796,665,623,970,230,153,060,
091,426,813,714,850,951,690,354,625,449,928,961,977,181,510,484,481,971,539,
379,878,418,914,944,358,333,532,336,322,767,916,614,908,474,064,481,039,906,
558,489,546,693,426,977,012,170,853,233,641,830,050,349,302,702,038,720,422,
472,962,653,619,376,901,371,605,196,412,671,449,279,395,996,243,353,654,650,
685,758,544,396,824,425,506,828,817,356,750,570,443,327,386,287,284,536,111,
985,367,670,518,810,503,462,611,295,157,758,193,859,851,533,246,974,959,353,
642,416,641,278,644,889,252,693,304,972,537,391,177,599,516,706,161,328,675,
289,425,005,502,247,356,636,445,269,414,708,438,378,483,930,554,625,518,870,
899,998,020,997,678,699,530,233,976,515,977,273,635,675,541,571,805,448,081,
988,506,786,149,244,238,732,845,901,478,389,010,857,129,473,508,882,191,684,
386,980,604,477,973,551,274,129,629,559,737,518,063,350,230,937,037,513,268,
516,121,738,418,708,357,301,802,978,728,853,234,503,628,743,015,007,568,794,
783,287,199,377,485,315,456,870,761,168,902,983,632,196,779,973,168,812,654,
884,909,731,712,355,404,707,111,500,429,781,102,280,433,919,582,457,314,550,
217,536,116,795,735,498,571,074,777,844,764,368,546,426,923,369,777,833,931,
675,308,280,292,685,063,339,344,220,106,017,337,140,644,302,652,399,992,016,
593,317,944,489,532,813,361,319,317,380,147,800,443,774,275,693,850,554,249,
499,011,952,554,859,806,575,253,880,386,495,289,432,578,736,524,439,508,657,
867,072,855,283,656,631,470,710,244,925,238,474,413,411,489,575,005,003,006,
595,668,233,737,099,839,592,191,177,981,034,324,564,189,784,505,694,016,363,
843,619,336,221,617,780,201,072,229,361,853,781,207,209,348,957,710,348,683,
912,642,982,347,825,364,518,479,404,504,333,977,256,110,727,261,501,155,060,
884,056,101,120,311,466,908,975,054,348,018,932,054,811,395,338,430,455,102,
523,649,797,433,170,700,576,418,535,729,699,613,080,030,562,414,371,411,668,
403,944,245,219,672,631,608,636,542,197,657,063,593,474,546,459,236,343,722,
038,065,643,223,292,466,003,870,175,128,625,062,639,717,371,875,108,123,439,
553,807,468,100,473,137,196,072,698,758,890,434,902,916,990,598,242,462,467,
993,142,977,730,960,858,800,827,802,047,052,066,914,872,099,541,991,324,685,
395,526,189,627,398,585,998,302,278,874,858,926,910,454,815,532,142,656,647,
045,711,853,127,447,822,870,304,148,307,855,727,825,314,333,951,970,975,811,
891,949,679,526,695,284,704,664,274,909,551,136,839,084,256,988,296,128,637,
563,110,972,068,483,612,396,990,386,261,410,284,534,796,073,307,038,155,071,
358,961,670,586,275,485,370,862,657,690,759,840,932,267,332,514,639,459,274,
749,450,224,412,203,210,533,810,059,490,068,762,141,204,261,217,284,836,250,
452,787,019,434,376,797,522,415,722,589,471,404,725,692,864,340,922,154,001,
028,740,734,822,555,237,895,721,877,104,761,401,790,659,646,889,294,174,023,
184,226,433,189,360,383,347,334,867,030,124,488,528,911,096,821,369,874,217,
506,790,298,678,036,451,475,307,653,892,063,768,546,767,553,287,526,354,907,
517,098,657,910,979,345,596,363,214,978,534,828,248,623,814,078,038,103,646,
665,436,049,527,719,772,038,733,829,995,877,499,473,962,346,040,145,944,666,
961,639,480,603,548,750,766,239,409,128,490,446,683,936,365,336,179,676,621,
070,180,645,352,560,801,649,156,864,228,030,390,309,215,018,802,553,077,611,
385,455,248,821,459,600,999,463,167,018,830,734,997,038,893,605,655,519,452,
507,460,534,315,521,349,038,207,389,011,181,518,853,768,229,796,747,102,939,
747,472,124,719,865,178,281,965,480,353,449,120,622,283,895,338,911,537,344,
095,073,937,266,481,655,542,179,336,695,260,576,403,240,357,899,272,685,581,
846,207,765,840,617,606,230,042,621,945,391,558,063,722,698,125,834,625,705,
997,866,799,944,138,935,292,672,632,481,911,774,223,821,240,644,988,245,831,
493,416,216,039,416,921,782,390,419,671,407,169,285,596,694,951,896,625,388,
725,013,466,357,774,670,877,531,932,260,138,803,754,431,022,969,249,358,588,
425,639,153,034,416,908,443,995,482,055,540,559,545,212,465,851,509,675,163,
671,489,076,959,519,743,576,349,809,496,480,172,302,488,013,182,953,104,382,
354,755,783,051,289,043,844,358,004,931,449,931,640,564,194,412,250,789,533,
408,695,802,307,234,110,719,994,813,604,414,843,655,121,382,929,688,196,570,
371,909,054,233,480,741,424,886,121,267,648,356,073,387,210,864,207,402,126,
899,840,235,366,211,106,796,863,884,119,057,611,831,433,388,306,659,947,183,
866,265,919,369,727,124,706,786,125,542,369,656,276,212,116,892,025,216,513,
861,854,071,215,092,921,685,645,068,832,583,452,146,484,133,649,332,253,056,
839,008,154,605,650,770,471,974,083,727,612,951,172,304,804,875,853,001,244,
393,986,194,889,390,527,771,823,576,646,133,744,331,305,940,169,302,907,780,
425,402,083,854,863,374,331,690,185,891,774,918,195,665,025,709,881,603,173,
135,454,156,458,331,869,452,133,215,907,171,102,525,440,036,871,832,499,298,
556,266,137,308,008,400,606,616,372,096,890,344,619,248,931,955,132,858,367,
940,611,004,671,409,500,104,539,328,537,079,307,591,421,179,039,430,867,966,
785,304,408,546,982,869,218,888,648,326,295,384,256,837,360,905,806,938,440,
424,051,109,371,868,266,775,775,242,115,381,534,819,313,082,791,488,542,477,
799,368,436,873,117,257,586,964,500,208,340,315,660,885,378,768,135,336,624,
713,084,295,108,119,263,724,644,462,658,744,879,891,357,258,273,193,552,422,
032,420,544,814,564,411,680,070,749,372,238,823,606,607,326,082,317,358,059,
042,653,155,218,919,943,131,784,679,274,458,373,852,073,629,844,224,942,281,
494,139,892,112,772,676,980,743,299,556,738,344,934,082,643,593,746,312,360,
995,300,513,439,182,037,834,072,472,680,471,213,651,548,488,147,075,724,045,
709,948,436,746,923,475,292,907,710,124,058,068,140,260,307,555,336,309,818,
726,700,577,515,569,483,732,381,384,252,431,955,103,990,181,581,921,973,878,
179,521,157,482,154,627,198,602,484,383,572,227,709,952,588,150,559,656,670,
313,089,531,043,835,765,943,516,509,313,511,608,576,890,684,189,798,072,221,
576,294,823,840,220,105,031,781,248,783,212,856,493,415,183,933,773,323,480,
704,070,704,935,650,276,774,019,071,209,322,963,145,112,321,561,397,439,808,
038,802,337,276,173,708,375,074,001,123,409,516,607,682,521,368,453,874,424,
798,558,891,041,051,092,663,598,881,790,473,049,431,815,290,691,947,128,246,
527,093,345,093,314,027,599,070,513,166,387,969,389,881,866,950,773,249,189,
205,129,307,335,751,222,126,417,308,112,149,431,942,812,995,023,975,757,670,
081,271,681,024,887,754,743,085,163,857,019,243,997,772,942,291,930,522,963,
216,020,923,808,572,056,094,742,920,236,124,375,742,870,179,493,880,302,645,
044,723,654,760,362,045,866,329,550,101,005,983,263,705,033,243,885,792,812,
907,404,516,637,142,696,345,871,934,130,416,058,974,413,960,697,740,797,102,
329,008,004,059,935,418,171,245,416,240,290,607,557,163,184,836,050,357,020,
381,847,687,602,145,429,638,580,729,160,009,246,144,962,948,262,849,958,136,
479,498,354,821,380,786,221,248,317,126,056,021,061,620,141,129,614,575,586,
650,123,260,293,821,457,850,811,448,513,324,762,351,767,785,428,794,644,005,
102,391,763,306,269,853,516,105,948,560,756,289,812,472,622,280,951,091,858,
882,181,264,864,240,224,207,180,251,952,973,242,070,209,011,057,920,594,380,
923,636,239,596,164,348,076,679,129,528,977,789,123,259,930,333,013,557,614,
658,452,488,467,892,456,252,924,547,013,337,350,240,527,555,049,451,847,017,
031,581,687,104,936,596,455,976,900,702,695,602,416,501,938,414,491,816,908,
539,312,261,073,407,181,607,369,269,049,084,478,029,847,066,850,492,606,085,
803,935,771,232,262,174,086,963,176,332,999,500,379,260,413,455,543,910,812,
330,698,083,171,014,969,092,156,403,000,705,057,262,666,130,882,498,155,150,
597,146,986,452,228,244,027,567,702,166,131,614,552,563,526,815,139,252,658,
186,179,627,789,923,286,620,387,102,748,805,037,110,887,381,360,881,326,881,
851,576,225,501,723,008,273,545,247,720,638,284,065,346,213,273,733,485,116,
438,226,361,556,013,285,651,082,608,013,015,882,208,039,734,727,745,634,972,
816,778,356,730,211,396,810,353,377,401,418,278,881,710,667,288,639,225,552,
975,177,489,988,637,446,590,427,085,139,000,808,478,052,769,263,169,238,289,
349,821,161,933,454,618,158,980,486,223,104,886,352,857,141,258,183,999,732,
738,996,462,541,257,597,148,375,083,791,546,854,519,883,565,252,916,592,106,
242,442,206,474,255,718,822,427,283,979,157,815,153,837,308,530,739,088,800,
012,764,645,108,559,806,746,142,151,644,134,860,350,576,564,979,352,944,992,
817,766,241,225,714,274,377,845,307,350,551,980,901,266,763,580,944,689,195,
900,007,147,299,284,037,348,300,406,993,347,416,505,950,868,011,637,175,409,
478,184,322,992,284,761,252,072,443,063,413,107,302,034,799,705,132,498,379,
524,044,881,150,127,301,653,176,448,029,545,681,798,735,611,369,378,675,774,
908,917,124,685,019,710,991,404,072,635,821,115,777,509,617,233,623,577,287,
962,818,337,776,128,115,272,200,871,181,858,086,413,729,524,204,440,664,049,
569,446,913,662,367,863,539,950,987,070,202,500,334,427,352,508,024,461,120,
524,293,509,463,616,122,130,209,561,526,502,123,945,922,273,873,806,055,500,
058,417,391,492,960,693,078,654,972,604,961,587,933,467,915,003,117,235,063,
371,269,796,066,247,414,254,954,332,749,822,529,004,519,965,249,657,052,175,
218,700,725,917,532,794,126,252,839,069,565,833,657,999,332,405,299,077,914,
805,221,379,915,067,268,091,949,573,826,458,435,050,813,827,538,881,336,551,
807,897,037,311,118,620,834,432,200,069,221,383,870,127,707,618,660,682,601,
398,446,753,851,692,631,056,454,838,774,669,408,816,818,989,614,780,862,070,
501,726,647,263,219,812,354,239,419,009,420,652,746,626,738,065,751,112,754,
239,458,664,471,186,934,806,850,939,059,404,043,315,172,614,060,159,529,879,
903,696,112,903,087,774,191,561,037,003,952,229,734,487,451,132,123,044,118,
248,246,049,437,333,462,553,801,184,895,880,104,655,958,232,309,591,944,464,
650,614,876,322,130,929,060,606,206,680,055,892,462,885,994,734,896,521,079,
557,915,683,046,676,730,300,980,244,491,184,074,682,703,214,128,945,862,846,
284,576,798,520,165,560,636,774,754,916,541,198,126,306,518,178,805,706,866,
780,425,894,510,813,203,399,443,252,992,772,642,115,652,409,031,554,260,608,
403,571,139,981,689,788,854,400,291,492,992,252,254,281,842,458,947,667,120,
125,086,282,200,202,982,243,347,432,494,981,792,650,646,847,900,787,689,797,
208,525,363,683,327,552,847,227,057,430,382,632,668,566,554,566,544,285,201,
497,930,805,784,662,094,755,962,806,344,101,445,858,710,794,339,709,994,355,
668,457,031,288,047,254,987,625,913,669,853,445,157,541,170,274,139,830,761,
161,024,115,151,821,252,004,802,996,419,997,792,327,670,696,029,573,930,210,
444,177,759,301,245,175,281,431,194,387,475,502,711,365,733,355,508,824,218,
608,380,327,432,316,959,782,275,138,451,005,521,738,735,164,900,510,857,710,
194,279,373,723,277,374,627,195,371,115,554,881,027,548,525,763,198,253,115,
171,409,076,696,307,606,203,503,708,320,289,611,558,893,696,828,741,436,879,
150,824,138,918,726,773,245,112,098,598,188,737,908,201,691,714,920,811,811,
161,587,496,354,192,050,502,385,095,464,669,820,997,211,884,331,106,356,688,
803,926,308,204,343,126,865,880,417,345,011,333,734,344,406,522,499,908,637,
028,879,618,281,303,443,834,910,688,409,965,424,595,910,274,214,534,584,977,
871,551,319,755,545,366,225,970,255,436,496,163,939,836,016,524,370,124,519,
733,953,941,556,579,211,392,983,844,920,548,484,951,433,646,778,756,781,933,
095,303,001,835,852,687,393,873,019,604,419,001,226,219,672,755,859,472,103,
989,903,115,349,965,809,110,891,749,066,726,557,350,023,303,982,369,950,023,
456,976,896,599,420,552,148,113,995,154,435,580,770,294,248,335,322,800,466,
850,445,465,902,305,624,586,181,216,364,057,518,391,198,646,382,762,642,948,
051,153,089,671,462,469,033,375,591,222,036,463,897,477,060,007,714,894,146,
670,818,665,728,953,610,446,962,382,175,715,791,116,765,419,931,615,297,717,
279,443,858,939,274,346,264,327,342,698,639,403,664,237,167,580,235,388,528,
852,057,519,269,291,217,412,713,000,752,331,279,821,987,109,782,965,388,954,
481,131,845,075,016,079,985,045,185,482,854,397,876,511,045,411,506,317,598,
036,148,222,873,036,676,509,846,097,543,414,307,511,982,496,611,692,929,081,
407,360,459,981,001,262,878,024,254,592,967,546,243,671,164,193,614,080,529,
152,758,879,108,565,958,253,663,648,324,777,958,602,901,993,474,517,292,722,
152,311,816,615,974,849,657,771,924,190,435,479,576,607,746,098,957,157,815,
916,608,730,895,791,139,593,830,978,362,129,848,424,972,497,150,381,292,987,
292,631,749,444,083,601,938,949,058,235,529,867,207,481,667,670,632,605,030,
852,162,145,111,786,124,794,626,336,141,277,206,898,224,012,056,182,303,580,
075,515,381,318,285,553,633,407,084,806,472,390,978,504,153,760,854,754,625,
355,965,740,491,125,424,282,264,743,398,561,475,472,217,515,980,225,005,617,
170,106,530,538,494,370,870,837,855,836,661,838,348,185,191,209,957,443,884,
836,801,289,504,466,622,338,034,736,946,960,075,241,529,256,036,061,591,393,
700,662,751,305,108,221,770,979,620,977,239,055,321,335,455,264,910,264,239,
849,115,579,201,251,180,965,876,467,027,587,103,027,688,352,499,057,277,426,
124,667,534,643,009,478,704,160,840,735,175,582,635,800,819,856,785,155,278,
037,429,061,265,754,761,865,107,045,131,616,639,056,153,774,553,236,904,268,
744,409,941,878,501,129,305,417,441,840,409,683,854,115,142,108,407,580,072,
447,604,944,673,443,621,833,201,490,237,954,509,823,697,824,781,887,443,389,
440,386,531,370,190,086,670,810,051,719,496,173,955,960,048,181,432,873,737,
947,357,081,570,701,007,522,724,558,960,712,008,380,205,445,076,131,163,938,
138,640,038,394,434,780,762,929,869,433,687,674,054,094,348,835,670,891,170,
045,443,916,346,105,530,828,659,449,900,971,960,039,705,622,183,322,520,927,
451,049,050,402,418,200,266,629,916,843,706,481,749,941,694,532,771,541,459,
670,286,106,641,376,589,780,611,721,439,131,541,456,767,798,751,619,784,717,
546,048,452,961,966,647,689,650,911,631,330,872,472,073,361,960,397,809,028,
700,962,809,330,676,089,837,923,030,158,891,164,024,238,425,372,846,364,583,
403,207,919,604,180,234,268,200,114,618,738,638,001,906,039,419,713,467,431,
342,845,785,967,724,690,440,607,412,918,311,369,860,364,890,081,018,346,412,
153,075,881,828,327,319,132,850,842,507,876,025,568,593,289,270,531,560,724,
578,854,780,238,523,352,343,606,510,628,439,054,738,080,167,028,005,376,515,
964,527,206,102,922,687,630,249,082,884,429,552,895,143,749,242,232,460,624,
296,608,861,242,224,768,950,687,581,376,375,781,986,962,829,211,434,648,787,
018,819,877,643,084,989,547,645,720,085,309,603,434,255,008,049,200,727,916,
297,043,257,984,871,540,039,531,173,862,050,890,845,268,081,441,240,307,527,
182,139,088,557,643,584,415,876,558,792,144,889,835,043,725,224,910,927,870,
192,398,381,013,575,407,971,410,580,106,692,927,454,533,207,817,782,359,040,
489,063,667,423,108,209,525,939,951,484,811,288,085,282,943,605,556,690,919,
048,826,006,558,926,250,020,961,873,585,483,187,092,121,863,524,885,314,351,
031,695,833,821,118,914,909,731,621,845,113,555,953,301,320,048,845,984,845,
361,851,943,067,437,075,524,023,010,393,304,871,343,922,379,603,959,721,609,
431,038,463,517,592,579,957,219,392,754,487,162,396,400,814,719,048,840,922,
579,625,825,929,353,954,276,406,476,429,112,085,807,414,856,398,829,633,397,
302,137,617,514,848,661,441,597,698,021,352,411,338,885,816,233,461,523,909,
912,352,029,490,339,540,598,249,989,799,073,247,431,461,813,256,371,688,385,
279,214,902,989,380,927,931,848,005,039,996,251,140,531,618,252,172,699,641,
728,031,636,942,396,637,717,079,448,699,450,260,699,808,727,307,075,595,822,
102,383,315,452,286,236,172,997,469,393,978,187,290,833,092,159,503,396,616,
124,243,555,512,716,335,641,753,770,571,006,327,286,965,761,468,589,970,000,
085,017,287,172,015,337,374,191,295,188,586,227,153,666,717,029,790,065,880,
180,717,297,000,427,477,174,948,279,178,713,665,576,092,421,083,005,415,983,
544,595,465,013,909,769,237,402,322,297,063,389,635,187,861,657,655,307,628,
525,834,392,011,026,491,456,979,796,425,027,922,318,059,849,316,888,268,833,
795,508,075,548,101,694,731,961,493,923,472,993,825,451,644,051,102,169,471,
115,139,551,272,615,380,208,946,272,108,580,644,689,603,067,277,181,529,327,
693,312,618,437,585,878,137,232,904,406,562,026,765,813,316,353,844,371,768,
845,216,312,265,772,557,447,824,944,719,943,553,454,181,212,749,854,646,569,
820,514,970,036,401,784,266,518,948,785,859,248,482,983,970,003,288,534,325,
754,504,513,877,617,701,420,507,238,533,301,055,579,526,120,753,558,672,922,
546,102,089,590,640,010,312,530,701,896,471,106,774,980,989,988,527,640,922,
996,487,894,595,637,363,409,457,388,852,380,321,094,021,296,087,825,289,296,
261,411,885,188,243,803,896,312,031,471,922,816,157,203,252,034,351,640,509,
832,700,912,482,429,804,505,279,424,468,297,107,049,759,625,188,801,434,311,
515,842,370,050,181,217,995,725,093,888,692,983,749,857,653,248,140,081,611,
156,545,460,413,055,020,841,527,017,109,998,130,288,807,839,307,020,704,576,
536,542,188,551,230,956,279,496,569,971,878,486,516,697,353,833,400,508,338,
544,889,223,124,075,477,824,058,627,636,306,197,367,674,004,193,095,383,552,
992,950,947,461,137,339,114,252,260,000,196,614,619,832,062,019,982,002,626,
725,980,709,013,658,549,755,498,048,044,639,685,545,536,638,429,092,781,993,
008,887,809,782,729,329,050,896,344,763,630,756,078,957,706,666,466,383,020,
547,964,778,162,886,817,468,534,889,255,646,424,317,387,505,551,516,015,921,
663,327,448,588,127,430,559,828,458,089,090,019,351,290,587,728,378,759,662,
666,356,960,408,731,108,988,264,541,571,532,451,502,473,674,995,806,577,912,
285,291,653,316,729,471,840,701,492,863,330,390,977,700,874,325,132,732,371,
221,512,820,431,169,750,515,521,686,804,770,455,215,122,787,734,185,661,458,
120,430,037,001,069,824,849,719,199,507,182,242,076,688,248,287,247,473,859,
181,620,308,386,784,691,028,927,767,580,445,976,332,505,703,171,167,299,133,
548,557,575,304,904,910,243,821,939,690,167,556,891,357,599,253,403,064,139,
868,357,717,707,959,926,282,413,551,704,374,103,582,198,661,005,526,418,070,
475,523,769,113,746,299,218,208,631,717,595,324,855,828,136,336,415,714,227,
904,020,536,351,694,223,600,520,774,211,362,813,194,674,982,432,022,767,756,
165,745,055,461,940,019,280,241,813,761,181,611,155,731,160,979,586,230,208,
179,649,524,581,040,027,246,599,419,694,808,956,534,420,387,880,967,251,263,
086,975,584,921,351,067,288,358,143,559,147,598,734,701,254,708,130,049,337,
441,870,941,103,110,330,142,504,061,837,017,912,088,985,822,970,621,773,123,
103,529,734,648,483,718,062,158,502,428,061,599,015,608,818,170,188,583,223,
629,834,430,804,298,498,148,021,462,294,031,293,316,114,978,176,824,647,497,
795,994,677,467,266,278,346,315,056,770,099,626,441,078,585,730,880,517,416,
632,964,083,470,175,336,474,239,415,910,958,395,733,651,471,428,531,604,622,
154,449,572,106,606,262,745,928,067,393,095,128,275,018,912,957,919,227,803,
788,888,549,944,589,502,311,274,514,297,103,783,513,337,187,980,701,969,340,
779,921,956,486,874,928,025,661,954,040,911,089,396,370,464,776,387,788,701,
402,234,716,676,589,047,959,512,684,183,294,077,267,452,928,855,816,963,140,
832,292,568,219,230,744,168,573,604,901,416,659,985,637,882,027,763,589,596,
754,007,040,976,799,971,425,685,900,896,402,620,924,664,497,787,797,524,840,
442,836,949,969,240,715,016,209,191,436,560,563,427,356,624,129,491,349,900,
409,610,734,387,944,294,126,361,765,503,359,806,245,075,146,256,337,049,467,
674,183,030,298,101,872,423,116,535,093,898,075,583,307,149,693,221,235,254,
184,093,778,622,222,814,888,524,137,309,701,114,336,662,208,836,021,344,517,
316,153,481,410,744,105,715,295,816,589,212,283,214,657,978,690,925,791,988,
835,230,968,751,282,007,772,392,965,187,136,939,553,489,739,028,937,098,615,
513,052,611,786,698,998,926,337,375,892,601,701,473,323,000,891,604,361,825,
643,735,663,164,853,828,513,054,374,873,402,688,808,786,088,501,062,825,844,
321,245,805,161,656,314,973,763,445,198,765,481,931,641,734,986,445,476,440,
875,222,064,486,632,222,732,023,412,570,193,981,508,778,278,335,655,037,514,
734,565,982,101,835,485,257,188,374,586,642,106,112,290,415,747,842,263,629,
780,336,868,924,490,631,226,362,175,281,133,497,214,777,983,122,739,195,696,
779,755,059,894,168,668,759,073,714,354,354,271,138,775,804,192,081,726,318,
467,645,739,333,109,630,297,954,126,353,806,658,090,959,220,963,971,037,132,
325,021,758,916,448,900,948,361,868,246,289,008,735,019,131,085,245,749,049,
672,304,733,001,114,418,421,085,103,207,622,348,142,334,541,736,685,253,474,
491,249,719,607,059,570,760,676,742,231,299,121,822,244,773,617,777,891,306,
865,939,289,828,664,425,139,057,566,999,886,229,670,638,346,426,422,180,438,
919,030,414,045,771,041,023,639,751,910,664,420,864,619,363,998,485,428,302,
407,649,122,138,440,116,169,863,014,925,707,106,288,106,529,425,771,642,598,
465,865,301,007,302,484,924,758,026,328,102,250,975,789,869,442,932,527,895,
817,484,951,546,382,577,889,522,005,413,171,129,662,419,440,662,278,427,257,
542,683,749,851,416,146,409,356,285,264,566,121,619,350,988,338,176,808,512,
171,606,455,331,060,711,446,590,719,152,328,846,020,029,648,345,579,139,012,
119,831,997,628,967,916,708,391,406,953,446,689,394,383,015,797,518,363,382,
892,439,667,230,760,260,604,023,383,048,558,074,863,362,892,910,728,133,200,
616,230,080,172,237,133,035,429,440,691,076,265,352,568,298,170,411,313,122,
952,727,695,950,321,862,085,461,744,005,050,181,994,595,162,529,684,023,227,
125,944,246,321,602,559,613,471,674,355,401,745,779,832,231,162,457,698,605,
810,944,134,935,290,126,047,098,857,322,611,985,765,758,101,033,703,471,978,
634,831,684,063,626,174,076,512,128,140,448,642,372,249,107,176,314,589,414,
345,458,966,487,193,746,386,794,652,500,450,950,127,979,616,652,842,745,770,
860,988,742,645,185,033,273,915,556,433,506,230,276,764,407,747,237,010,261,
407,861,252,394,428,964,809,539,328,988,571,582,371,182,282,600,509,197,835,
627,329,345,669,039,922,524,062,182,695,501,679,583,781,979,210,271,084,281,
421,960,999,294,079,572,815,762,789,739,530,796,339,663,982,564,950,227,066,
827,238,665,509,838,830,906,134,082,150,783,436,416,808,305,988,139,577,168,
674,082,270,508,262,829,365,682,353,257,095,277,902,612,705,472,159,684,878,
199,030,901,226,337,267,381,874,433,263,531,398,014,358,788,439,066,642,144,
184,440,502,631,174,381,123,384,754,603,498,036,976,073,106,395,383,351,489,
936,277,877,116,328,285,803,014,935,412,444,684,962,839,334,183,113,144,511,
470,556,662,069,811,123,289,876,750,817,179,454,546,445,182,846,704,425,311,
773,527,361,306,227,307,024,958,543,655,220,854,323,465,898,048,662,447,412,
478,963,170,389,932,318,270,294,538,823,535,880,884,386,185,873,849,836,475,
916,938,150,377,987,933,299,201,806,479,226,303,001,683,510,634,136,419,537,
790,305,029,384,426,238,936,724,229,649,503,466,573,389,505,206,487,608,809,
201,841,597,986,828,923,295,588,218,262,916,186,295,117,056,957,292,155,148,
458,961,007,586,018,422,406,247,822,020,979,021,439,314,167,583,225,252,512,
941,156,620,196,016,682,623,391,310,586,833,450,990,859,103,320,915,217,693,
837,865,558,848,970,249,272,669,143,560,965,395,274,077,065,824,003,409,167,
124,182,013,537,394,604,203,818,706,755,750,323,344,751,278,228,887,190,087,
743,717,288,955,023,097,612,981,411,883,559,336,783,069,925,678,701,379,647,
604,969,044,498,689,435,116,018,095,324,533,795,971,978,655,081,342,552,092,
824,121,339,282,001,552,159,700,002,900,061,838,083,173,193,247,206,058,902,
649,620,093,432,695,767,912,022,184,850,426,015,816,393,202,474,098,171,926,
304,217,105,985,281,037,904,459,526,836,875,807,699,909,816,531,350,238,792,
532,784,948,359,303,473,222,943,994,000,598,733,285,722,709,945,682,856,413,
037,778,930,736,636,272,931,969,119,644,371,851,246,137,538,212,829,105,483,
472,486,292,713,332,694,914,115,027,597,921,837,686,909,000,255,526,608,684,
217,768,045,673,611,808,704,491,247,075,266,310,197,099,633,287,416,288,881,
250,799,940,189,080,670,611,922,831,943,694,167,796,588,718,376,744,631,579,
635,759,245,199,322,150,928,483,106,302,641,981,909,134,491,189,678,891,897,
078,355,247,733,526,563,283,165,908,006,993,468,793,495,632,810,386,327,709,
080,835,797,904,708,993,107,092,530,179,151,175,535,191,600,443,589,058,198,
067,941,725,859,280,954,779,824,963,950,558,659,446,225,752,200,339,795,306,
790,973,744,900,217,440,041,269,261,980,821,970,776,445,596,032,535,634,643,
960,355,775,178,282,759,964,929,325,293,706,262,659,854,520,755,601,736,358,
260,373,063,742,382,954,179,403,538,673,441,069,620,796,781,839,479,954,392,
163,362,287,300,872,927,675,721,645,451,974,623,621,748,468,624,466,656,499,
167,755,362,785,615,063,090,975,951,567,973,341,382,780,451,137,554,405,904,
571,885,183,561,511,183,219,851,049,780,080,849,839,429,775,563,419,956,850,
108,486,863,057,438,620,373,756,902,427,641,046,858,330,028,651,421,970,386,
467,982,799,693,916,960,461,478,180,651,319,086,157,170,322,599,561,741,455,
340,390,505,309,588,175,890,825,215,974,543,993,217,988,638,357,605,543,261,
762,015,454,829,483,857,067,192,802,202,158,532,489,376,662,149,166,170,810,
369,401,712,385,438,624,007,702,436,553,130,326,353,046,484,364,980,070,714,
528,596,445,660,365,691,305,356,164,438,706,932,360,996,527,943,744,092,959,
289,947,483,878,916,817,447,888,218,145,509,047,162,977,011,386,643,532,483,
761,741,466,762,113,934,202,898,573,686,467,445,317,191,106,298,306,402,785,
280,553,479,672,366,755,521,678,876,487,571,480,031,265,781,918,173,920,264,
830,614,466,642,742,904,141,008,952,037,408,170,237,392,285,845,733,756,391,
021,371,895,295,768,958,323,718,536,926,306,766,671,610,150,482,344,733,177,
115,564,742,092,349,241,229,297,721,096,940,670,564,366,430,434,595,914,348,
771,128,334,755,307,036,424,756,375,192,261,525,335,145,966,038,849,613,020,
982,085,509,738,037,654,864,524,202,286,448,427,815,515,747,575,220,273,224,
040,597,347,203,947,359,979,686,598,633,162,094,945,848,020,120,984,309,595,
987,997,763,635,325,259,406,454,452,299,902,241,550,987,342,405,451,388,405,
831,048,632,947,714,425,874,390,707,138,408,723,814,542,157,609,960,570,148,
114,243,102,217,642,998,595,750,404,397,423,804,902,850,312,860,978,335,250,
613,237,933,440,128,182,600,630,431,246,981,002,513,532,849,568,615,223,789,
902,551,028,936,477,813,012,472,367,955,574,487,580,681,471,230,909,437,044,
301,678,411,966,521,729,343,791,212,507,931,529,309,804,235,317,491,362,523,
285,867,695,316,212,148,734,929,851,213,690,334,793,102,863,276,598,981,820,
829,456,657,443,689,025,675,149,986,632,495,362,479,581,763,553,827,923,656,
083,722,672,882,730,397,721,790,708,927,586,371,010,272,478,273,489,062,746,
104,634,140,469,130,497,895,394,474,769,624,824,984,958,376,437,838,657,268,
092,175,804,614,098,195,716,932,655,945,873,650,123,325,881,569,583,237,467,
807,404,048,002,652,117,952,527,768,158,598,254,937,393,391,784,557,784,848,
913,805,039,569,617,464,955,338,652,502,816,499,132,601,762,602,109,427,868,
626,849,349,296,010,375,295,385,051,966,749,887,767,172,070,155,181,654,897,
945,603,032,094,116,815,058,866,218,993,567,523,302,834,286,015,183,402,988,
010,388,773,349,435,652,414,989,139,650,068,675,792,724,538,658,795,367,458,
548,553,224,859,720,638,702,779,796,451,370,047,460,981,762,698,187,082,057,
666,481,121,382,299,142,854,746,943,368,551,541,669,125,827,351,290,477,628,
954,024,507,873,352,145,342,732,265,112,861,967,894,902,076,855,846,778,351,
112,403,994,686,072,032,717,853,981,433,753,852,475,317,909,983,892,718,741,
721,026,152,690,171,450,090,185,503,636,284,597,457,825,885,773,385,507,416,
725,137,497,992,051,769,636,239,537,146,649,313,364,826,385,193,980,484,700,
368,260,355,382,080,543,911,058,087,948,333,278,424,946,392,724,735,759,439,
303,176,142,905,932,824,462,242,313,268,493,514,085,802,652,721,026,995,472,
198,149,102,296,520,936,164,564,629,621,790,879,880,796,792,755,045,631,582,
352,541,186,933,811,090,710,612,101,955,046,499,787,460,456,105,808,885,907,
745,368,610,824,446,947,257,476,340,370,798,331,975,102,282,359,455,127,502,
505,693,610,976,708,255,153,481,392,298,444,375,388,142,305,170,689,388,824,
141,072,080,823,932,148,784,061,192,088,900,162,142,272,718,664,517,888,796,
346,694,477,731,802,565,279,167,628,697,482,079,898,578,881,633,405,174,754,
635,693,973,650,986,183,027,286,815,261,125,183,889,594,887,114,911,564,950,
920,144,201,080,203,723,797,220,795,440,626,480,953,608,459,341,436,612,010,
447,255,401,230,735,529,924,595,434,286,261,963,361,331,930,175,609,141,473,
066,166,532,042,546,967,272,837,693,884,555,550,415,376,183,295,445,168,856,
414,598,283,849,344,315,508,939,177,393,986,720,245,684,127,940,966,617,886,
436,985,896,569,472,161,657,219,373,909,895,146,971,126,126,794,889,377,020,
480,384,278,017,428,120,335,473,235,849,334,699,783,262,293,347,438,612,501,
126,784,140,495,984,076,122,590,204,342,229,897,721,758,271,315,167,879,960,
797,815,386,206,167,623,626,170,912,937,039,300,188,451,438,117,530,655,332,
527,679,082,791,566,043,266,373,023,289,914,891,160,051,549,932,387,452,853,
897,248,036,456,418,497,716,255,158,085,339,378,646,626,170,167,516,926,445,
302,552,015,169,407,449,563,709,249,206,119,356,015,504,194,568,733,604,822,
256,412,532,884,883,594,372,085,830,937,509,080,349,354,100,726,996,492,062,
273,946,770,879,870,528,926,959,999,279,130,197,274,156,471,569,644,870,345,
562,936,999,116,228,831,019,853,062,408,671,295,921,651,536,251,167,816,930,
813,449,142,560,312,357,751,647,395,275,459,341,783,308,500,686,900,643,174,
004,389,832,817,496,259,131,454,643,119,265,025,946,213,359,429,192,115,848,
252,028,137,335,917,491,814,597,186,619,789,551,083,923,070,169,402,535,894,
835,892,012,205,905,165,012,015,308,121,395,778,934,134,600,876,340,317,254,
011,979,584,787,210,580,548,559,283,206,395,364,366,628,585,414,177,520,965,
297,278,153,183,565,669,619,735,957,321,425,120,477,505,921,860,050,736,827,
451,403,735,712,654,015,036,454,202,042,859,786,567,560,361,610,880,159,444,
788,515,756,941,482,965,351,554,163,631,500,435,138,545,457,479,562,501,818,
318,575,142,611,822,867,858,400,470,544,807,633,946,689,922,995,682,143,550,
265,428,448,739,594,660,125,792,566,850,212,902,906,962,443,257,782,958,222,
252,942,555,691,578,050,152,429,380,097,820,718,649,220,725,470,010,811,375,
888,856,367,375,307,662,799,629,780,517,306,419,271,063,758,214,466,023,230,
803,647,128,926,974,861,906,456,259,495,790,023,748,838,950,038,846,139,540,
611,371,704,905,602,836,929,728,091,269,771,855,599,221,163,091,180,218,700,
401,690,418,181,001,924,019,809,370,800,497,425,878,138,912,968,344,154,930,
545,951,024,778,465,014,360,304,787,481,409,083,093,153,196,114,009,073,644,
928,612,066,229,019,503,427,867,930,910,860,183,469,202,185,038,322,109,234,
998,960,543,480,436,918,034,849,896,596,253,079,035,393,733,135,940,387,791,
767,066,132,966,904,927,236,635,757,988,616,584,859,141,244,382,982,462,362,
760,739,040,539,970,083,655,738,122,296,091,662,698,849,322,536,383,783,303,
551,382,370,067,315,039,695,041,659,010,522,947,338,846,594,437,236,937,944,
527,911,658,562,423,796,831,326,946,182,947,029,349,602,433,798,587,088,759,
780,770,240,874,070,183,076,103,250,282,926,078,062,110,039,288,907,834,835,
363,638,860,193,249,653,354,430,791,356,009,394,884,047,618,859,823,735,820,
949,084,966,804,675,649,393,515,064,066,829,948,193,759,626,754,347,536,192,
142,384,434,466,635,296,490,387,213,106,080,341,885,612,595,744,990,969,520,
017,335,969,968,413,529,174,540,852,502,139,485,736,430,865,704,229,386,723,
607,489,687,843,085,969,674,246,157,388,618,670,381,824,281,135,838,292,013,
353,150,269,104,386,169,494,477,356,855,894,520,068,855,492,885,917,270,336,
803,975,422,436,025,461,061,251,041,818,074,722,958,425,300,167,184,730,697,
095,636,071,991,029,584,815,907,661,918,985,269,799,803,161,392,412,600,161,
751,751,301,394,078,653,391,215,968,067,890,055,235,971,236,178,788,399,992,
822,447,575,855,293,997,019,294,322,618,522,222,264,792,983,098,017,151,980,
162,897,914,380,897,530,763,681,047,898,725,882,635,348,836,626,359,830,391,
027,263,646,704,954,860,557,418,155,777,232,008,508,178,550,765,300,456,067,
874,004,384,866,156,186,102,585,174,608,830,251,732,223,047,547,345,650,722,
731,515,864,985,448,395,722,694,254,348,198,389,062,057,207,367,661,248,239,
834,446,455,972,629,951,251,693,890,329,669,514,607,759,607,520,517,490,841,
093,008,120,465,941,498,547,517,340,745,510,295,534,163,727,130,207,926,955,
198,933,203,801,100,482,589,226,483,509,396,093,338,372,564,966,892,596,694,
819,639,802,987,855,342,160,566,391,178,329,897,214,609,045,100,843,798,272,
213,216,683,106,350,394,472,690,140,838,346,878,450,931,239,427,879,439,797,
902,316,579,309,007,727,135,035,486,963,925,295,901,545,137,898,118,479,767,
512,880,911,066,000,210,101,725,515,192,488,620,890,074,559,057,082,900,625,
647,975,067,758,116,750,150,777,962,077,304,360,063,491,753,031,234,738,115,
386,468,949,867,755,679,270,128,612,017,556,271,682,909,351,416,835,034,298,
145,254,983,351,696,570,349,453,724,555,718,401,389,219,055,649,631,856,039,
738,108,615,627,446,008,340,860,915,989,348,100,618,417,145,476,451,510,337,
860,385,440,582,285,225,522,180,196,375,636,125,850,315,314,150,314,710,297,
113,750,896,788,596,867,847,307,705,120,679,138,103,593,970,678,096,449,142,
718,624,489,456,613,331,233,214,637,257,353,047,937,760,906,364,420,389,595,
334,735,885,720,989,659,748,238,905,480,796,538,880,058,702,895,299,947,120,
752,268,084,651,518,676,490,741,423,073,549,736,287,738,590,717,428,504,849,
210,631,126,811,551,239,935,806,691,958,930,330,043,069,817,756,294,264,565,
257,306,807,088,358,426,614,951,012,795,593,050,505,004,400,432,608,404,290,
631,570,739,808,221,316,418,639,016,696,682,141,338,132,851,019,367,701,606,
910,741,735,208,127,190,918,902,115,871,350,760,448,673,221,168,868,161,560,
901,221,296,726,487,419,139,275,392,244,241,584,787,531,763,398,299,958,039,
193,372,998,581,031,666,141,762,790,695,651,300,832,167,690,562,922,680,347,
619,850,293,657,010,191,922,342,694,478,893,506,671,586,892,787,998,990,673,
053,793,062,894,642,992,858,364,372,456,958,075,325,230,091,456,630,758,105,
456,842,075,877,885,002,295,976,062,385,956,049,281,634,895,025,140,523,645,
322,010,945,753,467,355,796,145,724,298,094,825,336,604,915,649,345,372,189,
934,222,753,427,999,020,444,387,183,418,847,202,879,912,091,390,425,669,361,
912,165,246,707,665,547,805,002,778,940,997,321,781,901,072,066,729,315,955,
192,826,499,861,679,736,083,218,879,182,980,344,956,439,393,891,510,093,649,
197,849,255,204,769,184,602,263,546,560,189,505,075,039,308,047,767,291,702,
739,606,896,458,205,421,691,663,842,908,344,278,454,846,361,479,280,363,468,
731,059,004,829,263,062,362,125,706,346,488,603,244,446,303,287,902,686,637,
529,855,604,789,206,831,906,134,447,490,087,559,298,661,695,872,329,069,463,
006,153,901,521,193,696,378,618,897,046,643,793,497,771,774,808,074,785,383,
380,886,976,320,185,031,799,971,106,455,567,153,726,429,769,550,302,124,421,
331,457,315,850,102,064,624,005,799,887,688,274,096,166,576,215,835,959,619,
892,845,118,113,032,389,548,476,817,361,290,216,223,783,164,533,375,595,708,
837,775,432,510,909,917,355,950,808,874,789,379,399,731,507,586,837,301,702,
090,176,162,174,655,003,804,801,732,757,723,126,742,388,233,742,970,635,238,
776,072,978,570,418,628,312,519,770,123,007,461,093,254,933,832,255,776,511,
745,893,435,398,815,181,319,076,272,153,111,896,822,738,231,676,526,546,791,
618,413,217,242,802,934,025,434,995,085,662,227,038,125,630,409,142,278,262,
217,111,469,910,129,011,308,958,090,008,851,488,577,920,586,725,678,302,276,
547,156,571,798,808,394,381,216,328,709,453,905,404,906,040,028,783,651,230,
834,681,705,037,521,889,510,534,047,144,107,121,799,860,404,870,569,219,208,
691,068,336,970,845,508,371,240,334,472,123,496,793,328,171,756,391,980,309,
005,181,356,572,214,312,098,350,818,873,058,001,338,385,752,630,653,847,175,
683,596,066,876,468,047,865,475,086,136,053,070,591,822,187,395,702,043,369,
828,536,890,641,269,054,761,769,422,433,351,633,785,719,564,477,090,376,778,
387,047,907,719,814,155,512,053,711,842,910,037,740,534,830,040,643,273,529,
235,615,134,796,675,453,459,752,972,666,524,638,988,194,888,008,958,250,278,
937,718,229,738,942,656,688,886,593,029,314,659,545,579,738,610,805,489,408,
318,645,414,735,633,595,992,759,726,583,893,801,225,370,928,753,266,681,195,
444,106,008,696,433,653,557,149,656,270,011,701,380,098,869,993,067,083,858,
280,643,738,562,285,369,920,643,447,527,279,647,126,163,159,150,457,332,168,
299,446,180,175,892,519,028,403,036,162,330,510,652,998,267,279,919,174,060,
818,115,963,156,845,350,093,783,725,174,508,134,583,410,962,425,493,775,693,
676,319,662,416,674,741,980,035,893,554,207,429,380,087,403,040,829,957,637,
673,605,236,285,457,897,952,215,496,975,762,636,757,372,459,359,680,253,512,
999,117,625,565,467,215,224,368,195,323,414,652,218,495,489,091,437,937,025,
627,661,362,211,885,466,601,085,748,910,478,712,178,473,744,989,744,060,446,
856,666,932,868,789,052,201,652,165,453,302,069,721,477,777,494,024,555,034,
382,633,525,747,813,817,576,704,162,538,973,323,042,546,096,537,127,137,210,
184,169,626,651,506,733,555,769,529,016,958,027,309,418,084,183,444,571,195,
575,790,109,844,083,009,841,108,838,630,102,228,572,686,105,695,690,254,967,
543,855,367,678,560,068,801,772,726,778,767,573,425,776,488,964,099,474,943,
527,925,829,563,125,841,148,567,612,000,116,446,443,307,937,685,585,192,474,
175,076,030,572,698,502,819,613,379,938,009,925,907,260,969,395,923,425,766,
365,107,600,390,647,482,417,149,355,805,230,985,834,118,394,627,237,575,632,
522,100,738,447,297,850,306,980,294,646,092,025,589,222,707,508,923,717,484,
663,207,779,399,445,452,221,502,601,210,507,821,123,627,183,582,607,586,472,
966,463,547,858,564,579,686,315,426,730,975,459,338,542,575,835,642,215,719,
200,198,840,215,401,129,163,636,423,376,038,418,055,782,827,516,948,353,590,
589,379,143,660,731,133,287,189,495,733,788,872,372,206,495,796,166,522,783,
231,948,810,365,733,675,556,765,197,440,424,513,520,636,068,842,359,358,200,
736,530,200,212,193,564,264,239,396,401,011,602,346,548,075,825,411,489,670,
938,793,918,608,142,167,412,714,984,881,066,691,640,039,762,423,474,100,490,
708,682,943,293,346,499,554,572,276,869,350,983,163,634,990,789,745,833,669,
320,719,947,658,076,965,657,875,965,672,112,653,394,741,243,344,423,833,489,
592,691,818,497,943,857,211,819,966,291,558,732,709,598,206,932,005,331,383,
888,402,589,720,578,094,936,734,964,179,939,750,619,077,732,712,296,322,367,
406,834,447,629,327,685,128,247,922,840,726,856,569,065,613,208,558,896,115,
042,054,740,360,538,383,006,400,591,188,780,838,644,094,300,118,876,819,843,
624,347,195,997,227,173,940,859,425,130,977,842,932,631,778,772,751,186,720,
138,505,747,407,971,647,544,636,916,857,516,031,583,046,974,149,379,238,228,
694,982,061,911,365,544,631,652,263,750,128,978,298,273,643,678,797,733,112,
568,236,003,386,795,911,116,725,624,790,348,715,507,970,586,489,313,063,068,
326,487,286,512,507,635,761,092,969,687,457,042,043,330,850,205,037,041,656,
272,363,179,435,649,363,205,439,143,961,563,831,183,915,043,165,319,235,180,
082,835,421,298,736,231,256,495,378,805,970,498,334,893,203,128,308,743,588,
505,827,012,075,349,336,950,915,252,583,374,236,990,793,167,824,822,878,649,
626,560,176,143,002,406,298,709,582,732,832,386,479,440,297,306,903,975,123,
425,613,243,825,400,048,915,629,473,486,473,885,473,000,334,095,948,997,348,
294,432,527,941,442,043,005,124,081,841,858,823,848,878,025,232,123,636,115,
124,419,669,152,915,127,995,357,246,855,081,895,704,027,985,668,660,660,452,
309,334,877,484,651,991,712,003,468,464,721,662,762,915,597,660,401,250,928,
605,186,942,046,917,632,747,504,743,141,975,850,376,336,648,172,687,856,165,
373,895,470,331,383,573,480,804,389,299,229,656,732,087,988,675,335,331,100,
581,817,853,648,505,161,797,927,001,628,376,637,899,704,226,764,743,035,147,
450,502,184,647,402,341,482,495,516,303,685,710,322,808,995,797,689,994,596,
130,296,896,681,735,660,711,168,910,049,010,837,285,495,213,805,905,226,920,
198,663,376,667,042,431,463,859,803,032,610,342,561,174,998,158,620,766,006,
100,656,670,268,594,046,076,651,504,998,408,502,010,977,825,532,557,030,519,
010,231,309,371,597,619,779,163,284,881,387,725,248,121,353,644,386,484,542,
217,528,295,586,651,027,653,587,496,312,592,569,548,132,405,515,784,437,745,
304,293,325,703,456,791,283,091,502,844,279,898,317,601,653,367,993,608,709,
826,868,837,067,752,536,790,728,859,706,411,855,817,937,704,618,789,700,544,
123,273,505,337,002,319,323,684,712,606,311,098,085,850,575,286,135,082,743,
399,519,956,940,232,765,759,804,769,807,896,365,980,499,786,802,852,427,833,
212,402,256,869,858,569,079,333,269,011,096,788,093,115,303,065,718,823,891,
869,802,911,758,986,145,383,534,471,996,163,889,096,580,346,948,122,392,150,
725,919,837,206,349,283,588,440,141,976,881,942,916,158,646,304,216,038,142,
823,506,390,020,818,234,867,939,412,727,304,403,868,193,536,770,332,085,258,
951,217,282,122,987,899,348,494,692,582,092,550,883,604,638,489,922,406,349,
813,657,909,758,274,921,709,705,482,306,520,688,531,109,089,986,955,232,451,
853,845,130,542,535,494,227,979,613,725,923,028,935,296,653,652,768,189,451,
813,980,884,607,940,951,253,145,125,051,460,915,949,362,306,538,710,094,271,
484,674,002,362,408,520,684,660,997,271,215,273,915,930,421,890,020,844,745,
420,572,441,166,667,502,623,842,903,124,850,526,339,302,263,826,763,453,659,
524,208,250,439,928,428,788,833,298,420,218,312,622,539,985,368,966,223,153,
576,987,866,044,103,844,420,766,914,141,261,780,193,375,886,682,567,679,285,
519,277,059,022,972,281,271,086,694,579,301,660,062,896,865,721,784,959,980,
259,974,672,240,356,931,606,109,697,427,259,383,526,715,515,550,145,603,663,
762,556,307,570,579,134,179,518,034,701,142,675,467,235,360,819,864,287,428,
165,567,444,983,837,612,709,536,451,547,013,910,752,492,866,126,538,347,324,
630,644,124,100,811,077,667,675,461,160,837,847,606,527,656,490,440,751,367,
763,658,504,022,522,888,439,775,835,822,398,741,662,900,264,725,396,506,407,
792,902,150,915,496,034,463,542,697,311,706,731,643,863,042,479,793,654,063,
810,283,327,336,947,624,857,641,553,546,760,251,129,655,810,626,893,540,114,
477,579,800,089,632,944,516,074,417,120,049,457,346,063,895,934,950,636,999,
599,506,088,529,068,729,824,032,857,801,414,847,623,363,305,912,108,700,673,
472,209,164,844,215,886,284,687,738,722,564,967,637,110,602,216,084,775,364,
625,446,121,017,449,931,832,047,405,515,927,465,269,115,472,296,304,447,454,
468,660,680,215,576,980,472,591,893,600,245,150,895,944,571,349,435,692,784,
756,098,157,343,836,904,374,855,287,780,573,602,754,653,435,057,013,581,455,
767,527,365,300,679,464,126,815,322,207,097,598,969,640,158,609,779,977,033,
468,697,384,966,944,362,239,244,480,683,383,277,833,897,814,046,285,009,591,
617,206,614,307,978,347,793,711,013,083,141,522,023,344,509,423,627,935,337,
877,897,754,197,876,737,491,180,539,372,515,995,931,398,321,660,064,205,803,
408,177,719,451,015,250,649,059,740,205,454,629,019,398,929,092,261,810,728,
085,579,790,147,759,516,108,602,907,625,864,352,470,849,686,705,194,512,896,
327,733,682,950,520,717,102,383,813,441,206,757,249,471,456,325,432,347,430,
459,908,205,799,182,302,711,679,878,066,425,825,509,568,994,519,421,299,015,
850,868,906,564,962,538,279,275,501,353,339,307,270,361,411,966,206,641,721,
768,412,761,261,201,421,593,983,764,327,152,966,273,896,986,858,405,266,244,
155,816,157,121,812,596,615,748,012,593,062,848,321,579,775,549,516,829,234,
978,396,874,689,525,752,733,340,901,118,221,938,649,430,423,009,328,354,605,
025,923,767,552,196,825,784,943,646,686,745,695,036,256,662,767,245,106,045,
158,952,106,605,758,032,489,194,737,971,362,475,837,277,147,532,175,301,467,
593,960,984,871,573,813,320,006,034,056,601,302,241,959,340,985,971,512,139,
964,807,426,476,070,130,769,996,330,587,239,091,422,349,646,750,170,839,478,
662,327,966,100,567,126,889,631,894,305,581,998,326,726,732,790,124,972,696,
203,362,210,812,097,966,577,715,074,139,772,863,167,515,920,276,508,821,501,
003,180,901,854,141,024,913,936,194,099,559,516,551,941,386,368,446,088,839,
526,481,077,876,384,501,756,890,187,246,061,190,101,606,565,817,294,855,690,
135,719,579,108,651,719,418,542,188,221,731,712,071,011,843,589,823,356,506,
988,499,067,290,605,988,077,716,202,907,548,725,145,134,393,757,221,132,159,
483,320,253,388,105,840,196,740,208,292,628,353,534,588,215,806,865,807,405,
731,894,791,410,520,958,154,953,352,135,402,468,184,106,688,439,231,392,574,
333,943,726,017,883,259,449,788,601,411,294,453,078,511,253,675,825,769,269,
961,285,744,417,393,542,756,990,783,800,770,307,100,430,360,200,492,944,443,
438,937,640,532,395,197,866,119,330,095,923,618,056,567,373,684,898,034,017,
831,124,151,867,422,802,662,307,292,105,862,922,989,101,994,944,013,079,282,
190,998,301,196,507,310,840,170,201,966,731,528,329,760,391,608,729,926,433,
715,831,036,800,943,727,846,950,902,774,659,499,164,696,873,648,189,035,724,
990,080,102,972,617,102,300,687,406,677,353,563,855,904,233,115,585,471,990,
560,850,928,916,975,109,207,850,186,580,930,035,052,327,126,701,552,358,060,
968,068,376,983,411,786,659,929,969,655,608,958,835,889,710,524,384,801,396,
177,527,344,973,063,135,911,683,958,550,032,839,044,867,378,064,722,604,047,
604,956,709,510,028,339,659,184,142,575,090,656,026,208,766,276,849,504,325,
621,142,196,034,618,919,908,884,824,516,892,005,010,403,196,306,903,398,744,
556,023,790,801,147,672,614,288,843,404,402,245,166,301,600,877,576,727,799,
161,618,045,655,144,393,169,253,686,213,969,831,491,158,767,080,305,633,837,
945,722,358,180,852,199,812,434,741,455,223,774,835,094,664,505,536,860,135,
664,986,062,510,544,042,902,233,529,683,675,615,973,716,462,197,112,974,834,
917,428,715,612,143,236,355,080,683,427,546,787,001,313,070,984,442,585,945,
422,037,916,094,838,089,962,766,360,709,880,939,003,810,178,555,943,500,672,
673,085,419,959,168,385,892,486,005,775,709,771,792,618,871,408,976,379,357,
586,626,762,080,303,675,802,409,564,786,947,594,507,529,096,870,495,353,381,
234,164,464,139,703,551,091,305,716,764,298,821,293,687,006,629,836,429,150,
106,524,630,675,389,349,869,189,929,315,163,852,904,266,235,833,069,065,442,
001,064,856,918,229,994,619,621,950,523,616,471,331,591,748,193,377,361,546,
257,680,590,473,923,000,443,450,012,977,031,663,947,466,388,018,878,732,831,
190,868,807,847,373,523,818,388,456,110,825,029,344,145,713,142,212,075,500,
680,141,846,160,400,520,350,333,984,005,568,745,884,943,088,551,991,861,735,
468,494,621,136,301,466,686,947,814,542,900,050,984,848,814,837,348,064,970,
488,040,874,125,409,887,950,093,476,652,905,706,009,581,435,317,872,081,812,
747,994,358,894,385,264,716,838,249,179,097,279,520,959,258,371,970,588,859,
036,343,750,784,602,832,467,589,635,508,785,594,329,902,567,622,468,904,986,
104,585,704,117,879,792,797,769,782,235,812,722,542,450,000,777,060,125,710,
556,574,389,501,216,769,091,579,031,442,614,900,293,061,424,514,463,708,651,
439,550,806,973,726,035,537,418,819,464,668,399,095,354,337,045,235,924,894,
941,639,783,008,363,576,583,442,553,530,481,449,292,946,951,243,145,290,348,
153,094,446,257,988,293,913,565,067,158,768,099,987,693,072,783,569,195,432,
834,166,971,850,461,153,629,042,312,347,249,299,820,345,703,445,431,732,041,
458,974,575,612,191,955,925,459,308,443,933,730,245,561,377,657,779,058,860,
625,834,070,373,891,765,372,803,841,100,441,089,572,432,327,592,002,518,018,
729,638,838,063,820,320,365,027,736,683,918,821,928,043,620,182,977,438,623,
859,963,831,434,205,580,920,700,335,315,758,625,202,519,032,843,400,481,059,
711,008,237,232,966,568,006,105,951,483,034,218,063,988,048,391,832,984,512,
859,498,393,646,221,880,096,568,058,531,547,448,179,910,596,179,285,998,021,
223,604,108,414,657,615,418,680,084,423,045,641,284,868,456,367,868,483,300,
918,688,007,569,863,742,079,099,401,406,591,286,641,698,116,187,278,215,601,
496,571,481,007,092,645,344,293,347,849,804,906,570,662,693,013,762,041,557,
072,134,710,548,520,007,800,896,808,416,425,324,490,889,958,447,935,816,236,
204,061,703,337,875,348,370,854,663,430,382,431,271,518,210,006,660,185,094,
948,847,712,888,574,212,373,906,348,252,155,667,342,987,717,903,531,773,327,
643,429,091,991,565,056,709,072,078,812,859,389,544,695,649,650,463,338,763,
213,868,454,268,080,705,919,168,169,005,463,958,286,703,436,126,040,410,694,
787,026,168,613,431,480,893,004,544,643,006,057,512,315,076,663,655,373,541,
055,753,241,039,363,051,738,024,331,795,185,418,165,564,427,113,863,506,662,
448,247,723,927,721,335,001,869,627,512,294,590,825,300,061,847,044,940,007,
147,430,526,951,887,764,541,785,108,971,141,276,044,211,992,781,339,697,756,
045,149,997,018,471,964,484,239,358,434,035,147,025,411,143,835,592,076,339,
712,310,134,086,945,337,279,143,352,342,893,828,453,108,046,168,450,636,767,
311,729,583,981,771,261,640,252,581,028,475,782,838,654,251,331,528,892,920,
390,730,735,226,523,776,118,641,379,369,902,292,385,365,076,329,282,477,039,
076,593,541,240,310,486,428,039,690,766,900,166,595,974,705,814,506,463,910,
429,885,502,492,867,727,651,133,605,000,685,054,400,809,165,867,595,199,608,
833,130,368,995,921,188,942,596,630,454,624,859,939,857,145,807,425,012,862,
174,372,179,054,726,932,926,656,122,764,370,392,826,601,657,422,496,203,878,
755,828,819,081,283,477,109,458,469,312,684,926,935,504,411,917,800,127,226,
342,894,208,459,498,201,810,443,436,051,779,332,875,406,106,869,090,435,800,
562,407,537,953,829,480,018,371,408,343,388,798,388,792,389,960,682,139,838,
798,074,021,564,716,567,101,819,666,266,126,045,231,085,549,534,157,024,386,
208,267,486,199,990,983,419,743,738,411,801,644,921,975,766,686,948,450,328,
472,320,980,571,692,860,913,643,910,304,152,471,091,032,543,259,871,760,862,
777,815,109,292,263,739,315,909,541,471,866,537,714,388,544,139,139,664,089,
769,685,644,391,767,738,219,852,789,235,882,476,876,393,211,769,493,340,063,
692,041,466,236,226,887,496,542,641,323,188,265,227,381,843,833,905,964,473,
925,794,923,574,922,996,949,275,507,899,321,667,819,643,584,019,056,480,830,
194,603,561,226,694,581,827,726,534,303,935,842,159,910,818,453,307,278,929,
269,088,943,710,068,543,079,053,460,799,717,957,006,522,523,640,203,155,152,
896,955,735,855,043,284,532,731,498,687,089,042,998,033,630,223,870,522,457,
654,212,659,780,901,765,961,830,505,885,195,781,149,184,390,853,922,448,943,
121,809,410,746,982,960,658,482,184,681,658,002,056,926,785,231,031,013,682,
743,871,961,846,779,646,925,058,732,011,872,063,763,695,012,855,010,493,680,
696,624,469,868,120,247,829,395,984,164,219,230,392,220,429,395,785,910,414,
766,749,006,357,360,179,552,356,481,576,237,291,622,463,506,357,978,840,850,
268,994,466,748,994,882,928,378,941,458,452,366,695,331,113,954,254,041,842,
812,355,815,632,770,667,027,167,439,423,798,422,836,731,075,022,050,085,123,
738,213,762,919,511,906,601,544,686,075,063,715,748,466,892,686,039,540,308,
108,363,336,341,160,788,365,178,146,737,515,980,691,414,774,837,498,230,033,
664,172,533,195,547,405,955,965,341,712,446,676,906,710,799,036,868,855,925,
892,130,867,566,970,844,110,931,548,968,804,265,689,653,665,146,427,978,267,
904,353,357,772,954,884,099,335,868,076,550,152,756,355,135,989,278,550,802,
255,730,839,415,019,727,933,405,513,846,197,466,622,020,273,094,408,352,271,
311,443,663,591,318,029,024,252,298,902,937,045,446,925,221,059,602,036,466,
030,932,611,371,126,675,686,631,491,616,248,970,465,170,910,239,307,347,408,
735,107,014,788,297,618,775,769,639,555,436,178,534,542,530,200,345,986,362,
022,395,912,311,882,759,641,392,194,711,225,657,827,532,998,023,300,507,626,
951,801,736,948,400,376,963,380,598,819,859,120,287,982,717,240,152,129,942,
558,129,094,701,021,343,807,705,190,912,527,028,991,003,835,952,789,233,643,
807,289,270,979,142,192,618,816,863,399,814,670,541,594,302,198,589,551,664,
219,730,997,879,674,091,998,807,597,972,330,588,376,210,319,903,941,509,727,
635,686,387,326,425,495,507,167,416,752,198,747,387,757,434,687,013,089,597,
793,235,091,153,133,317,043,152,280,256,236,842,559,884,342,749,922,375,288,
521,437,477,255,242,370,343,824,063,228,440,655,026,949,060,220,582,053,260,
452,809,526,182,179,228,229,360,613,934,285,399,248,351,171,314,109,395,576,
949,837,020,760,492,751,979,016,567,345,746,555,322,263,160,373,494,697,941,
740,661,930,846,598,931,193,235,522,571,989,956,978,313,763,294,718,978,149,
853,292,261,120,221,136,796,594,456,465,600,440,756,136,292,168,978,836,205,
234,643,234,299,652,535,099,011,576,819,425,667,069,908,464,007,162,585,884,
886,352,321,039,591,768,692,688,881,092,913,697,438,240,025,365,363,503,459,
710,636,876,319,276,611,690,765,246,530,319,599,698,654,753,497,987,017,659,
084,328,678,347,836,778,588,178,707,707,195,654,071,299,949,872,876,999,305,
514,280,055,882,895,078,466,434,431,189,739,435,390,322,891,970,213,451,399,
508,592,060,443,808,853,285,446,068,810,385,339,534,782,402,108,808,662,802,
197,917,195,488,206,077,101,398,181,698,450,682,027,550,932,826,920,943,768,
639,464,163,779,634,238,215,103,158,549,689,869,001,392,765,630,557,743,280,
775,144,519,335,960,559,534,402,484,837,795,083,631,185,159,418,225,614,499,
279,235,631,657,543,831,509,880,213,815,645,794,403,047,827,011,005,651,973,
419,624,603,883,010,502,839,564,193,955,771,094,045,439,027,265,044,781,481,
393,117,280,830,359,409,001,724,962,752,712,133,070,167,183,907,933,551,133,
104,778,843,876,246,593,326,346,467,063,990,623,941,191,739,513,317,873,991,
508,102,053,682,474,117,372,050,575,367,085,621,624,681,107,413,630,060,453,
003,923,699,402,254,943,549,398,566,760,108,503,396,574,862,559,474,145,241,
482,693,257,805,599,798,898,141,586,729,242,067,557,558,539,092,262,026,587,
299,677,584,157,104,591,147,167,734,088,390,489,669,773,176,983,131,482,786,
427,699,510,027,674,948,584,814,120,477,887,164,741,037,961,289,203,960,093,
574,511,463,258,157,569,739,685,001,916,038,728,833,315,456,661,301,780,023,
766,686,893,544,052,531,293,817,526,970,291,168,740,102,243,718,019,915,160,
235,107,220,768,792,255,328,638,945,841,366,669,528,363,842,814,506,804,347,
735,008,353,015,160,232,070,701,944,133,212,754,684,432,907,054,907,901,519,
266,715,250,521,029,733,500,358,736,881,967,391,136,594,363,259,436,200,915,
205,808,151,792,613,517,946,569,111,026,741,889,947,980,841,361,271,549,042,
904,822,194,541,472,978,117,781,921,396,435,589,211,288,646,998,788,188,038,
985,698,446,644,425,854,883,725,434,222,975,349,129,494,296,673,399,151,819,
269,689,660,960,952,546,338,809,886,934,768,490,398,901,861,056,262,701,590,
039,039,529,207,582,533,619,978,085,076,149,526,008,041,850,081,031,844,331,
344,309,115,943,592,057,353,702,900,685,023,024,523,161,784,498,661,382,448,
008,659,844,829,805,365,007,230,171,586,405,750,619,545,052,451,422,169,416,
488,378,955,956,619,381,298,546,776,138,997,877,488,638,675,477,922,318,922,
630,366,535,523,303,279,494,065,956,094,327,579,373,703,285,428,156,173,686,
517,849,488,857,725,316,161,296,151,461,859,362,910,087,962,878,595,521,826,
784,499,203,735,603,570,008,654,952,012,048,860,468,824,907,189,858,304,361,
871,157,727,139,355,669,118,500,796,681,803,517,025,276,666,234,161,714,510,
972,698,847,194,598,261,243,440,001,199,923,844,027,116,465,996,510,518,491,
301,014,060,712,991,838,329,147,503,527,355,935,072,878,010,331,775,924,640,
020,667,860,381,857,251,410,864,492,035,245,107,071,915,789,818,679,393,497,
911,227,529,293,624,806,418,628,841,229,943,458,741,076,822,314,395,259,297,
432,240,059,373,331,771,795,282,294,914,165,316,478,793,178,022,519,359,817,
539,918,316,199,217,382,502,474,516,827,982,699,352,354,199,786,982,130,657,
291,609,358,531,722,340,422,626,237,492,151,765,861,801,514,790,291,816,863,
603,645,601,351,776,279,067,626,141,973,062,336,106,125,464,110,617,124,197,
293,865,027,794,491,271,543,981,822,902,637,645,699,708,225,656,514,633,908,
417,509,149,714,399,992,994,586,533,900,242,305,312,026,602,596,740,316,604,
529,480,652,139,467,451,386,623,344,176,188,900,847,090,834,343,858,232,425,
648,032,727,812,432,209,723,096,753,763,683,793,710,951,969,007,738,078,815,
508,015,425,507,455,572,369,927,969,513,267,855,708,462,997,952,501,699,059,
293,759,387,225,420,533,404,855,102,515,539,804,627,767,863,130,009,169,060,
072,017,611,717,599,930,502,231,163,486,601,537,948,126,130,308,577,744,397,
448,602,314,243,650,077,006,287,543,309,820,391,111,152,698,994,815,502,529,
506,370,885,489,319,814,194,072,737,623,955,130,280,471,879,528,666,875,525,
636,453,558,417,385,402,376,656,758,481,459,610,308,621,060,272,247,660,625,
518,530,082,450,310,038,498,764,848,869,389,085,018,832,869,289,996,375,492,
187,930,052,016,471,172,374,893,659,770,244,665,660,574,957,177,053,509,608,
709,661,199,042,768,512,191,522,454,673,388,903,587,400,778,810,468,301,981,
948,503,008,837,406,250,386,825,361,335,368,200,017,144,775,402,665,473,795,
658,250,366,355,705,136,434,686,331,788,594,160,279,495,991,554,584,558,238,
247,064,504,963,723,760,017,197,752,519,855,425,687,099,065,840,817,586,530,
136,597,392,637,229,810,485,156,781,970,912,321,302,531,096,243,649,931,487,
072,209,712,253,613,257,404,609,715,754,638,624,621,473,887,786,494,569,066,
318,549,809,957,550,418,050,390,576,515,577,838,202,525,776,013,740,094,737,
556,572,894,831,296,241,101,457,546,157,666,323,098,270,305,818,201,171,482,
897,542,253,157,045,990,314,868,274,881,050,190,338,664,060,266,155,109,334,
852,705,047,862,346,289,090,613,608,380,324,270,316,323,453,976,939,871,141,
644,383,424,409,013,800,652,205,488,496,907,151,868,595,575,401,458,802,230,
329,346,794,654,127,434,509,908,477,293,268,161,657,203,390,615,723,930,230,
919,363,176,219,883,621,112,023,794,282,269,615,216,359,165,086,517,345,548,
156,664,717,945,072,910,159,297,411,837,665,597,007,736,825,112,156,682,008,
347,186,606,089,436,729,598,892,355,388,900,707,817,258,429,447,904,167,042,
350,503,342,267,316,187,694,663,714,067,588,360,592,864,896,035,469,539,682,
600,121,106,496,871,263,869,293,796,084,605,092,537,297,726,621,019,912,968,
169,919,454,394,187,132,505,909,678,185,536,973,905,313,318,291,679,736,474,
174,561,183,108,749,517,417,203,531,432,955,333,587,567,203,512,658,185,697,
107,326,794,115,998,883,571,479,740,005,127,220,313,557,369,391,684,340,058,
292,908,060,304,214,417,794,459,809,255,803,763,466,694,240,985,024,120,062,
299,731,507,972,527,121,477,772,222,588,493,219,905,452,023,050,248,396,682,
089,213,111,658,106,483,996,592,584,975,774,890,266,304,276,221,164,925,571,
171,582,944,246,896,625,654,179,695,533,374,285,343,252,740,095,899,024,463,
779,997,999,092,300,431,358,328,544,762,632,516,032,143,155,688,741,111,444,
949,643,557,563,699,476,978,073,772,977,291,828,373,262,890,974,552,381,404,
198,876,314,295,145,202,136,335,800,160,084,063,252,860,450,974,214,242,666,
722,998,992,818,246,401,365,446,170,978,620,448,474,411,833,294,608,994,865,
834,846,671,856,680,301,882,879,206,617,392,180,865,014,429,359,200,967,458,
952,065,191,394,825,925,852,188,907,157,160,158,470,005,555,146,033,759,284,
647,209,117,217,161,680,622,837,671,121,582,677,830,720,339,591,125,527,935,
448,103,987,417,712,658,334,880,930,996,588,476,218,411,029,109,105,367,671,
373,132,024,114,938,207,786,428,759,318,748,375,700,357,007,304,243,448,374,
208,940,801,743,740,792,415,897,993,990,936,716,886,679,950,297,809,987,998,
001,164,363,111,388,931,017,663,287,497,061,283,552,001,160,557,507,913,415,
632,308,614,700,758,608,440,693,495,842,333,317,486,217,688,352,857,134,503,
078,833,054,963,430,005,707,627,786,798,196,034,327,623,191,147,726,039,490,
887,316,533,312,162,057,579,852,659,058,744,450,096,810,229,045,154,559,224,
733,574,266,041,203,211,945,800,813,494,364,479,990,844,994,794,016,141,171,
433,331,059,684,492,376,285,528,420,066,593,607,712,423,008,238,624,716,985,
781,118,606,025,983,218,936,122,034,907,667,677,372,303,457,048,686,551,794,
605,638,494,038,649,008,669,281,113,353,111,005,196,015,561,343,668,401,051,
864,391,522,051,839,423,896,595,935,986,452,042,040,692,543,056,745,984,773,
811,243,149,690,711,254,614,266,327,370,063,338,247,082,956,581,016,446,632,
173,634,582,693,983,088,787,751,642,629,766,201,476,842,005,069,305,593,186,
235,889,234,259,011,904,387,010,194,957,296,313,356,188,536,443,927,189,517,
005,034,278,825,818,113,556,723,657,552,093,462,999,219,842,419,441,962,301,
180,603,717,594,387,455,001,250,224,067,609,590,667,588,780,937,430,697,722,
097,988,917,520,106,868,787,083,228,521,201,358,496,116,899,149,088,513,516,
321,671,910,405,204,888,896,029,997,614,639,089,131,416,525,870,946,008,959,
693,414,239,756,224,051,011,537,067,551,729,566,173,127,323,823,630,098,436,
121,917,680,686,406,058,788,491,239,755,978,159,421,851,758,872,030,016,091,
396,203,884,040,677,734,918,037,236,957,045,561,870,739,626,974,732,178,849,
685,011,542,829,029,830,884,066,554,346,997,310,850,428,227,346,910,895,666,
729,682,148,484,226,660,235,119,580,583,230,321,890,778,766,073,816,363,449,
334,726,614,133,974,308,856,502,289,693,576,894,136,014,295,687,335,366,103,
108,536,952,121,515,057,748,152,388,471,054,650,914,249,815,765,778,915,115,
085,393,043,062,602,838,320,696,761,136,054,531,176,064,720,794,832,150,901,
760,668,356,012,564,325,647,744,105,122,760,895,695,836,995,837,543,360,003,
108,348,596,546,106,908,671,716,043,207,964,067,632,069,413,621,762,634,027,
075,395,886,951,895,399,057,234,969,615,060,694,674,200,701,706,046,708,128,
019,388,927,113,604,579,851,119,155,422,940,211,380,445,045,307,866,330,724,
267,069,110,552,798,595,700,170,768,865,864,742,528,462,597,369,740,629,901,
808,963,878,008,744,125,999,704,602,866,972,460,295,461,521,578,292,760,439,
448,523,566,521,508,710,230,248,834,439,759,453,583,977,716,999,952,634,698,
056,219,852,514,577,482,088,118,159,994,121,206,637,210,306,870,695,042,839,
881,342,850,519,736,792,925,854,879,444,683,191,646,572,529,506,679,452,182,
986,527,171,455,006,554,918,937,161,220,809,305,995,229,449,361,553,770,530,
814,750,617,995,054,329,089,311,193,152,894,001,969,361,558,020,694,096,862,
883,666,157,044,946,634,542,618,388,148,790,629,100,062,028,775,507,500,651,
047,707,754,708,386,014,334,309,876,513,381,663,383,512,656,658,841,842,049,
451,796,465,681,497,790,691,304,683,926,026,506,312,849,129,189,142,332,913,
513,336,294,821,850,614,428,771,214,112,016,057,149,518,249,657,397,883,247,
298,679,440,846,317,154,184,753,921,408,656,062,453,655,631,553,263,422,456,
440,331,673,994,942,101,235,659,636,615,934,635,223,363,651,424,294,163,082,
895,721,300,149,500,328,245,058,885,344,404,574,174,796,677,999,706,926,517,
100,397,335,564,612,833,873,160,512,982,469,686,295,090,114,891,720,290,524,
358,058,324,568,188,798,807,019,610,515,393,712,959,969,681,899,905,941,145,
637,249,233,498,403,665,685,905,386,092,377,152,438,428,260,405,822,777,424,
068,326,426,602,969,077,407,175,771,684,035,325,683,513,557,256,555,325,079,
974,512,112,971,953,414,517,414,438,909,622,288,045,569,262,917,467,202,240,
136,834,022,015,675,101,369,844,495,933,981,081,911,000,630,505,536,273,642,
802,989,375,834,461,296,195,871,749,776,137,170,237,567,113,304,701,067,493,
482,058,158,796,378,154,755,112,450,222,234,389,165,681,083,820,496,644,787,
289,639,224,756,816,443,630,797,369,549,620,428,153,588,701,254,567,693,313,
828,410,031,208,127,320,085,962,514,044,226,348,100,601,437,311,019,010,986,
613,005,799,381,064,522,252,247,383,826,184,838,395,039,092,060,315,508,328,
154,612,329,257,157,462,894,092,857,799,747,608,892,881,973,197,750,814,624,
862,862,327,543,098,277,613,608,136,093,014,752,336,369,179,605,384,919,327,
388,439,212,034,362,080,918,695,288,979,304,554,826,646,488,174,524,287,566,
371,690,874,480,907,957,780,846,509,671,789,062,607,442,775,494,647,808,518,
129,153,283,530,040,711,178,676,230,571,453,008,522,882,143,631,656,174,578,
803,515,406,944,429,724,772,277,915,520,315,648,522,642,692,232,483,893,780,
780,411,165,854,272,633,570,601,085,267,405,942,779,499,756,839,397,006,050,
532,568,231,187,868,070,499,692,854,238,878,458,087,972,458,626,830,614,755,
459,561,376,608,556,746,893,364,455,643,724,456,863,262,913,319,090,120,352,
563,828,190,912,861,491,804,773,979,526,217,906,071,918,629,302,528,011,874,
906,447,014,513,060,125,008,656,918,113,086,407,498,852,863,249,848,642,782,
549,310,268,329,283,914,228,861,997,593,044,726,275,027,613,941,713,200,550,
479,582,065,962,252,449,571,557,133,905,164,494,896,906,690,863,173,635,654,
789,500,590,292,552,381,306,780,466,746,349,750,736,846,306,455,277,949,553,
684,577,190,080,267,354,080,254,332,699,843,451,094,006,612,428,485,148,302,
170,417,865,898,399,938,456,549,949,263,203,437,361,025,502,558,221,446,692,
984,174,663,440,684,867,557,784,693,115,935,394,641,012,352,137,418,331,823,
617,036,380,947,102,723,920,507,029,844,066,781,226,382,130,678,619,808,263,
294,395,764,511,181,929,433,399,625,074,103,481,223,424,496,324,095,947,251,
475,087,562,823,145,575,549,858,997,337,764,330,190,710,600,407,415,752,969,
250,829,109,380,082,352,771,979,234,305,690,688,691,861,861,579,177,390,328,
363,279,920,557,716,686,641,185,139,182,979,533,150,588,653,052,639,054,093,
275,444,670,085,246,496,751,857,037,904,957,465,313,526,304,554,763,699,056,
673,999,244,796,321,714,142,525,634,728,990,782,043,069,941,065,865,607,587,
717,356,244,473,254,894,362,183,930,604,769,521,320,467,878,570,291,805,618,
575,062,448,081,891,498,292,307,092,184,669,846,430,738,384,278,254,134,009,
902,376,360,267,974,648,149,329,925,720,948,799,517,837,577,532,757,815,280,
642,416,194,138,046,736,518,136,272,998,263,567,844,922,686,559,754,022,375,
197,153,117,445,345,704,211,603,780,862,668,648,039,765,579,756,454,265,931,
831,716,742,121,202,253,269,134,325,809,128,277,177,470,689,658,708,848,923,
091,532,628,467,497,179,030,666,493,368,353,360,751,820,263,474,387,946,428,
706,802,806,734,442,809,814,209,917,258,379,428,757,204,916,441,157,461,537,
302,166,167,500,444,361,683,543,058,144,841,293,116,955,565,076,509,416,378,
113,176,080,062,495,159,979,101,954,296,765,638,199,925,581,495,779,617,094,
023,123,876,524,320,773,669,626,922,480,728,495,952,179,429,923,841,260,117,
457,110,002,043,895,145,882,083,651,022,136,484,552,686,543,346,476,049,689,
627,254,496,225,333,519,578,565,293,886,949,865,719,174,396,865,665,221,246,
412,427,729,727,412,260,866,280,902,758,532,036,263,555,690,159,040,968,782,
847,005,350,921,806,639,466,127,513,868,327,475,686,003,261,321,691,222,643,
134,632,669,333,261,529,970,938,828,881,862,010,467,532,569,476,369,578,401,
671,176,534,020,958,395,181,536,278,009,378,496,922,181,787,763,546,544,815,
827,468,801,925,330,925,908,269,134,886,071,734,294,386,238,169,583,421,280,
845,310,869,815,741,589,871,477,643,184,687,769,299,112,745,749,948,355,996,
989,411,611,529,936,882,603,741,820,983,727,803,735,235,294,660,646,121,468,
383,933,050,955,994,782,908,828,518,085,636,557,301,137,248,905,190,335,915,
967,914,598,717,418,160,913,886,530,900,281,159,209,788,186,970,793,056,974,
026,674,677,508,869,125,766,003,276,077,803,720,367,880,316,468,520,174,174,
176,432,081,874,864,350,482,963,933,478,040,902,538,073,516,161,618,721,797,
141,019,978,306,591,837,368,552,049,613,234,202,746,573,184,856,406,300,121,
364,163,514,544,100,496,107,583,872,744,798,809,762,853,177,125,693,860,294,
891,655,574,716,060,701,003,397,700,074,574,598,604,336,411,361,665,980,901,
511,069,255,397,073,856,565,236,569,099,587,292,177,691,835,611,599,515,076,
349,630,747,365,557,179,012,014,736,190,774,850,516,077,064,070,654,861,316,
154,736,639,800,965,489,428,689,578,187,585,916,366,849,021,724,406,404,980,
776,317,045,285,656,437,216,416,274,066,385,174,209,256,005,223,450,492,056,
010,150,967,501,159,081,413,646,609,287,313,130,215,728,696,245,371,883,463,
007,124,174,448,816,342,468,572,962,794,185,318,741,695,994,475,304,403,231,
301,181,676,802,010,555,629,172,286,251,556,512,188,121,828,063,341,024,621,
074,794,143,724,234,012,628,833,118,412,228,029,520,750,592,290,344,081,205,
821,522,710,181,094,524,278,988,380,157,867,929,483,970,864,792,211,030,470,
403,576,424,409,325,262,133,606,962,010,056,963,628,461,687,715,051,332,164,
136,426,344,720,481,809,208,463,417,512,951,426,569,424,282,516,473,265,444,
434,022,041,925,166,977,531,342,139,665,986,086,307,135,712,739,838,412,549,
578,365,723,436,884,854,490,312,327,824,941,953,887,071,817,837,726,277,287,
501,815,708,963,010,281,566,279,040,494,036,965,583,197,357,242,615,969,307,
882,543,798,841,502,836,643,173,791,966,597,112,074,237,657,162,372,360,837,
360,492,598,591,922,862,115,232,426,268,878,877,217,945,920,422,353,768,320,
499,108,083,131,624,832,163,179,577,246,356,689,476,041,878,892,598,267,304,
857,207,171,465,170,773,289,109,240,309,541,176,050,786,393,938,935,073,677,
440,478,299,367,914,421,433,489,169,435,942,080,361,782,128,681,877,310,930,
122,168,626,275,122,640,769,835,797,897,906,432,338,099,261,493,060,293,609,
100,089,508,427,417,505,740,238,009,012,475,499,398,315,740,485,200,842,842,
691,287,984,823,905,332,344,023,550,689,067,292,884,598,352,644,249,671,805,
137,237,020,944,627,903,611,088,260,370,977,547,087,756,150,431,389,388,929,
542,252,635,960,575,640,688,899,870,448,146,017,103,501,869,249,936,463,010,
725,811,973,324,850,081,002,107,970,432,583,696,278,867,521,249,084,545,248,
306,954,357,820,624,617,866,093,870,589,637,052,002,020,921,269,356,818,810,
174,990,212,992,437,119,491,741,519,869,287,294,821,739,463,009,181,963,180,
909,533,065,752,154,083,228,357,638,110,113,859,087,809,042,054,333,874,526,
482,345,073,274,335,015,322,414,425,625,661,057,621,407,807,910,739,516,749,
447,096,775,635,011,159,374,957,663,425,512,770,228,188,070,850,353,198,291,
457,628,888,755,032,142,086,436,634,008,606,368,090,185,628,832,346,399,740,
966,880,715,158,306,872,311,240,071,095,539,925,477,618,397,946,028,389,297,
032,147,443,322,138,676,546,424,979,276,299,782,552,922,236,655,218,516,460,
248,868,307,144,092,200,679,693,824,871,946,100,730,509,204,354,604,116,936,
082,198,785,887,079,205,961,823,870,632,309,030,527,703,504,155,986,865,688,
843,343,669,005,619,003,787,420,360,157,337,311,375,980,116,617,703,204,944,
798,894,160,308,884,207,941,694,932,681,858,301,025,706,749,430,123,215,011,
909,335,594,512,667,192,939,621,000,574,413,529,468,578,837,471,051,816,405,
410,742,281,756,926,256,140,142,750,277,691,299,471,894,286,732,190,690,527,
037,026,965,663,223,876,861,140,849,589,079,093,400,671,369,289,923,509,536,
033,743,384,559,245,402,356,928,889,910,280,089,581,351,631,339,802,429,224,
571,801,937,173,073,675,671,303,147,156,931,229,530,750,310,021,400,094,413,
048,744,019,897,921,289,884,562,119,376,563,373,246,010,212,843,973,502,375,
069,891,379,704,559,986,287,550,917,770,996,154,439,935,845,835,250,098,776,
391,756,636,300,403,103,821,294,317,562,789,505,794,780,622,467,155,183,193,
936,142,480,982,066,407,315,252,756,020,414,623,553,393,590,389,169,653,775,
581,425,976,781,201,184,956,528,699,581,474,525,532,108,553,598,278,938,943,
762,963,638,563,284,363,999,037,299,228,332,498,069,535,555,213,771,404,516,
486,994,624,577,439,733,828,350,496,044,684,743,078,088,863,417,497,209,616,
475,403,612,033,755,319,518,726,214,564,674,935,472,366,238,334,375,200,269,
631,636,530,437,520,116,204,266,615,041,695,021,603,408,472,553,745,519,505,
175,253,806,747,400,260,222,398,091,918,142,802,441,358,522,402,402,732,325,
675,562,764,128,189,499,110,614,235,507,106,601,019,860,127,080,456,140,660,
312,298,906,799,763,357,612,767,730,094,778,512,706,711,774,471,624,086,639,
615,574,235,101,548,411,673,746,270,640,411,597,597,860,224,984,760,459,595,
404,411,978,361,823,962,845,795,558,839,297,380,836,575,542,076,406,905,323,
390,267,742,875,845,540,530,064,691,094,917,879,690,153,010,007,539,228,242,
938,238,946,850,790,993,199,974,492,401,067,106,102,569,747,786,281,558,969,
624,987,085,476,349,438,114,475,442,924,223,157,698,333,132,476,523,837,477,
957,958,878,304,261,157,196,027,051,285,054,452,628,739,512,063,214,931,873,
955,511,278,077,685,828,180,694,986,051,942,204,614,651,878,646,928,632,619,
506,105,237,909,988,633,471,994,243,210,621,721,236,182,240,796,337,123,266,
430,296,748,479,568,304,335,295,152,342,436,424,125,878,452,497,105,442,078,
365,397,220,066,364,263,624,346,454,350,492,450,915,625,132,911,850,553,517,
803,230,512,589,788,504,824,512,082,595,216,821,301,736,064,849,755,395,060,
172,780,232,781,957,852,389,858,835,531,255,088,487,858,584,354,841,229,699,
102,516,561,032,150,830,782,285,200,363,241,775,322,839,130,023,797,419,905,
365,612,651,740,987,624,485,324,190,114,797,209,189,419,365,333,718,460,732,
386,141,542,640,944,034,954,357,957,955,404,554,048,470,845,686,757,014,890,
635,525,191,827,263,025,778,941,745,999,340,030,800,717,216,603,632,383,922,
257,362,867,472,008,908,488,942,570,784,696,303,796,236,612,810,388,596,416,
707,826,968,157,770,106,782,170,766,172,586,859,497,163,364,786,693,901,985,
168,465,598,943,737,137,423,311,565,446,217,212,543,969,372,774,789,443,330,
605,651,327,865,269,658,934,664,056,275,062,198,838,067,506,719,313,731,393,
017,122,104,399,788,139,354,870,695,779,439,677,070,900,372,043,461,321,732,
413,046,204,325,368,785,475,367,086,439,021,363,716,359,892,927,400,842,699,
689,861,072,760,193,692,529,534,269,003,021,350,643,787,924,628,584,391,535,
650,154,157,043,482,152,247,728,402,794,272,566,708,846,606,216,343,793,312,
868,741,151,144,484,595,516,355,240,040,937,437,253,899,819,200,571,091,367,
257,419,736,367,403,095,372,715,542,909,712,426,056,767,987,166,524,176,348,
324,422,839,395,801,109,977,477,044,749,664,491,153,377,222,827,991,638,629,
016,806,880,050,095,297,634,329,581,202,097,907,013,435,384,717,595,866,194,
760,652,656,792,061,524,005,405,074,556,314,493,835,851,386,700,949,494,259,
681,781,950,359,552,239,081,256,654,198,766,237,904,579,280,507,564,364,827,
731,544,433,718,700,449,148,408,221,505,532,022,102,121,586,735,554,465,314,
631,651,681,961,514,238,341,767,450,629,447,607,509,336,205,770,960,013,847,
331,831,523,975,135,319,242,767,487,415,078,530,196,825,832,060,954,494,185,
415,634,486,594,435,904,298,998,391,514,550,193,247,031,359,127,614,808,820,
794,575,903,707,942,536,994,544,369,609,559,877,980,258,554,776,496,751,770,
233,045,499,326,721,513,100,997,685,170,409,635,534,969,658,225,566,046,908,
243,917,893,389,910,017,339,654,532,494,868,813,896,276,008,995,841,001,157,
818,003,005,344,492,501,625,024,312,231,025,740,234,595,661,506,701,993,222,
891,156,953,878,028,430,893,559,889,654,410,118,457,253,883,704,790,043,678,
764,201,163,652,819,029,570,718,184,453,760,126,566,566,502,816,815,318,580,
365,390,338,979,876,994,608,097,139,045,626,717,391,050,701,320,499,833,592,
795,561,282,345,814,280,132,292,983,215,967,257,931,222,254,945,855,983,374,
040,671,316,184,987,600,019,564,295,821,208,026,549,034,049,719,993,234,809,
275,536,836,457,962,194,167,936,057,256,474,964,071,187,007,015,440,131,603,
138,046,096,540,486,422,308,505,370,003,125,899,982,115,061,774,733,714,322,
246,397,392,170,373,350,211,484,694,342,591,876,521,884,449,086,618,804,053,
906,983,785,800,711,570,879,822,874,943,056,652,955,934,766,066,331,195,242,
405,769,763,258,977,817,821,510,843,045,531,562,430,824,061,010,815,626,393,
839,398,004,565,444,811,093,331,519,553,217,036,801,253,798,422,194,982,060,
581,222,454,050,511,333,936,912,355,093,719,343,754,567,898,422,226,882,606,
476,585,423,276,981,431,036,150,260,291,317,799,913,764,534,968,695,054,192,
767,260,001,621,757,116,553,680,148,152,993,773,974,884,861,712,741,987,033,
327,978,979,329,125,488,280,038,141,456,018,908,307,624,337,848,328,583,224,
124,494,436,328,485,091,706,647,206,045,453,680,881,660,177,488,744,356,391,
595,833,473,735,916,505,944,698,195,457,999,960,482,141,296,343,780,335,675,
518,033,918,933,641,331,378,367,991,432,812,261,590,405,834,063,953,770,935,
765,302,897,666,299,459,835,383,715,490,544,147,631,231,612,270,269,362,118,
657,821,098,778,999,386,971,573,946,261,116,692,239,428,991,206,616,805,569,
230,342,157,636,525,429,922,685,202,157,763,852,627,041,053,523,998,101,421,
052,305,494,413,199,819,093,019,652,861,853,165,642,729,157,822,050,213,488,
835,394,974,734,483,994,027,336,488,365,737,029,734,565,364,540,733,172,012,
271,848,907,557,522,670,376,296,003,079,198,428,039,432,847,460,796,269,532,
607,340,204,215,251,184,572,812,012,707,062,417,424,339,004,942,895,131,798,
325,542,328,955,754,479,568,886,109,008,993,127,937,671,307,830,979,166,933,
061,365,307,080,417,583,636,205,116,967,143,531,985,057,907,438,712,611,647,
150,266,703,484,782,963,899,521,413,631,098,920,300,532,915,146,648,754,641,
438,793,564,084,579,966,755,671,809,340,285,578,593,702,610,559,199,470,861,
860,403,286,139,047,409,695,288,756,572,862,259,077,634,855,960,381,012,790,
301,763,899,882,782,761,035,847,596,469,556,246,354,782,172,331,660,525,570,
142,136,428,516,742,624,871,998,859,257,672,225,270,488,658,049,789,725,514,
908,290,967,874,263,417,530,825,357,454,995,493,711,094,335,768,425,193,317,
543,447,349,113,740,080,080,521,880,790,287,606,869,117,401,858,442,592,020,
401,347,009,117,824,450,940,987,676,729,915,466,234,149,244,565,563,668,406,
089,244,052,842,915,420,070,534,959,406,999,389,526,828,063,664,899,370,444,
458,866,417,680,429,865,849,073,425,166,667,846,263,644,022,450,299,002,573,
987,236,553,556,850,863,736,592,354,003,831,716,580,846,653,638,370,319,460,
795,878,517,038,167,140,818,365,301,320,420,488,340,309,514,819,216,946,009,
226,923,545,392,495,126,272,088,520,936,665,978,888,725,483,433,768,267,085,
971,784,434,184,973,994,261,425,429,773,679,434,369,618,993,321,163,910,579,
408,309,350,153,307,724,218,780,871,183,381,850,838,845,202,702,277,237,618,
039,483,071,563,422,504,715,230,868,680,710,476,570,620,522,513,297,664,255,
550,934,196,231,903,623,466,366,360,678,423,084,213,114,941,173,844,325,813,
715,315,496,282,853,727,340,237,018,284,125,972,685,029,447,621,226,265,855,
234,140,623,676,511,993,976,599,763,387,694,217,748,507,586,594,539,521,001,
750,441,912,680,815,828,639,923,262,095,977,454,730,179,346,691,372,027,252,
096,023,105,860,250,451,358,497,873,419,371,321,576,472,472,373,118,604,680,
309,643,275,267,126,865,940,861,294,640,165,208,452,585,954,971,757,662,849,
168,232,350,907,506,720,850,946,310,368,057,839,068,822,778,736,775,774,794,
602,957,904,750,679,545,702,902,766,247,706,903,007,716,874,880,479,540,795,
549,456,272,685,098,191,353,945,707,555,703,623,917,746,116,202,486,281,141,
671,531,654,663,329,252,344,704,742,393,845,833,363,503,458,573,688,448,817,
399,357,715,026,588,693,840,532,208,899,039,944,026,780,767,324,913,460,745,
580,252,971,023,794,211,055,668,877,865,844,211,703,099,715,945,550,496,386,
124,268,676,570,226,790,859,346,018,002,771,462,487,938,692,129,881,597,365,
373,610,442,569,425,666,270,874,975,071,150,996,670,458,696,010,634,716,074,
383,588,664,509,578,224,018,214,477,810,802,755,702,034,227,007,212,323,473,
778,416,865,749,904,768,802,596,433,354,763,377,372,109,731,183,896,585,967,
553,574,010,088,866,082,257,746,503,821,478,152,772,001,345,679,028,925,681,
147,447,544,705,386,765,651,760,767,360,510,906,958,781,087,793,639,329,939,
450,246,699,400,947,970,280,265,295,473,245,827,891,489,109,778,043,827,374,
781,625,778,508,594,946,697,043,651,171,435,002,942,598,972,607,833,965,979,
693,138,852,064,768,940,960,569,603,128,080,874,878,203,047,883,282,037,456,
755,913,738,578,284,117,979,144,704,267,717,555,827,217,358,558,302,652,077,
903,808,476,936,117,852,063,216,758,158,573,702,029,196,957,696,162,783,220,
228,924,106,489,226,157,873,233,600,716,717,681,026,719,083,757,475,524,450,
010,534,320,755,211,771,353,132,067,450,507,276,774,465,101,619,446,234,722,
841,869,158,865,723,697,170,739,071,798,963,084,490,427,222,621,712,841,569,
840,844,764,290,374,749,370,926,053,436,463,002,346,468,415,866,671,447,237,
061,556,169,662,555,403,468,521,142,987,501,706,731,132,988,084,218,954,584,
721,998,617,995,499,185,286,806,972,507,587,495,376,187,575,915,394,492,530,
809,928,920,130,554,006,799,913,555,375,185,796,231,266,628,215,476,872,755,
541,570,100,197,276,927,272,936,821,778,277,775,774,271,153,042,517,995,564,
128,579,385,077,165,232,580,556,905,883,886,839,041,581,497,304,883,778,506,
908,997,940,050,582,259,716,233,114,450,463,610,240,326,695,347,833,988,656,
418,958,970,493,729,528,459,770,707,245,958,433,501,116,726,901,655,659,665,
871,684,046,451,244,452,973,955,901,147,296,979,245,911,555,764,911,160,558,
830,356,884,010,302,674,471,547,116,203,823,817,126,545,677,885,774,844,417,
326,308,107,846,509,887,990,241,241,082,700,888,076,027,277,525,685,164,324,
679,763,545,551,348,255,019,446,324,050,351,096,479,388,740,160,231,520,899,
176,716,179,179,782,688,715,588,238,074,290,364,836,284,593,048,869,942,059,
710,247,116,076,535,795,664,860,478,869,490,650,947,174,193,062,583,898,795,
250,725,008,086,782,401,756,186,395,810,311,939,466,761,626,889,518,989,167,
383,109,447,998,527,627,257,545,718,969,829,713,945,485,703,343,932,301,136,
829,358,015,262,522,751,459,841,083,161,536,133,590,087,230,512,407,348,077,
508,367,100,162,560,548,062,293,424,774,803,353,220,572,618,086,562,634,406,
396,296,906,551,144,659,960,965,965,938,939,124,937,831,290,859,953,219,688,
745,231,878,988,521,376,522,671,564,987,125,345,716,881,200,935,246,089,105,
572,006,712,556,208,820,265,446,887,102,493,438,578,576,143,619,335,031,424,
775,543,394,950,161,937,305,352,166,603,056,566,297,221,082,178,785,084,337,
268,781,308,557,440,104,461,318,067,997,625,651,754,520,257,565,916,011,767,
277,718,547,431,992,489,046,783,634,070,910,696,851,471,763,875,088,735,011,
215,758,359,979,720,036,057,399,610,175,521,306,928,736,769,878,058,098,708,
838,984,009,306,219,600,511,827,134,939,417,863,510,272,814,553,018,044,066,
255,188,459,838,370,722,707,114,205,720,313,874,737,235,169,376,917,043,687,
887,646,389,480,589,052,348,168,543,447,931,685,315,785,133,166,960,393,219,
715,678,618,042,493,800,352,912,737,415,599,117,520,613,956,457,707,177,104,
932,652,217,905,726,571,816,529,936,389,745,519,027,295,578,416,594,514,103,
878,157,825,630,063,726,126,749,331,870,342,225,466,763,699,313,535,790,306,
698,896,422,240,975,187,718,789,264,066,151,780,785,355,467,126,553,163,047,
725,446,688,834,262,511,113,055,014,676,970,005,420,721,892,985,860,685,164,
934,160,397,676,106,410,676,211,404,637,006,644,932,836,694,119,411,827,453,
936,216,507,635,030,763,328,777,325,484,342,882,291,651,443,411,136,814,673,
949,960,325,052,917,779,270,184,704,324,047,132,585,628,142,842,008,883,900,
368,674,821,765,160,001,227,637,553,004,269,916,330,085,601,660,121,006,994,
060,575,248,704,464,316,233,631,715,665,916,113,244,112,912,601,194,800,662,
917,178,737,993,144,606,620,200,997,803,239,157,130,062,727,317,705,664,101,
950,169,957,843,897,256,133,341,809,700,136,380,380,162,625,109,483,454,504,
745,544,399,136,577,957,630,043,008,596,629,661,612,878,471,689,441,993,065,
552,653,919,262,435,675,343,346,736,143,124,815,060,070,442,854,044,322,033,
363,134,966,973,761,199,808,435,026,612,840,635,016,942,899,293,363,180,006,
678,760,882,779,979,876,999,960,177,542,319,844,575,247,942,696,183,365,839,
249,182,467,194,417,125,339,452,328,557,625,970,919,776,230,950,314,981,474,
925,382,150,952,568,886,905,926,790,850,395,148,230,690,047,768,943,916,956,
057,798,200,657,576,519,927,731,496,528,913,752,904,296,375,486,900,367,953,
469,156,118,811,238,231,751,720,082,385,965,724,695,826,843,408,445,054,710,
318,042,847,004,191,362,376,766,663,364,255,159,001,005,484,889,875,965,532,
863,411,092,672,729,733,950,351,943,091,687,937,749,758,400,055,395,949,308,
158,109,773,148,287,017,634,563,731,546,705,516,901,383,144,711,903,787,609,
117,481,989,351,321,473,842,239,575,067,954,688,111,033,093,825,769,493,059,
546,532,129,691,387,769,858,490,202,196,734,798,274,654,946,072,173,363,572,
721,605,418,044,442,403,223,263,315,219,774,995,796,139,434,514,920,073,046,
646,801,791,063,664,563,789,602,727,054,224,788,176,431,960,455,179,661,214,
372,252,334,876,604,297,207,621,496,135,430,283,661,453,784,057,687,522,740,
592,919,296,140,344,473,370,255,189,961,629,942,391,823,763,775,417,160,757,
624,093,866,642,983,590,803,878,587,069,101,453,910,791,460,934,571,434,409,
063,797,073,395,607,034,293,431,361,125,462,376,476,549,924,610,617,455,081,
918,300,891,352,421,992,334,369,846,221,156,397,665,190,188,408,061,124,072,
202,957,858,007,486,572,590,285,886,034,275,010,615,632,737,886,014,870,219,
078,730,732,059,605,537,934,899,019,389,786,860,972,353,535,892,572,015,146,
744,624,320,624,725,420,772,760,189,332,343,741,677,258,820,256,956,379,178,
629,493,788,619,656,815,606,549,178,238,378,066,054,078,816,486,841,530,969,
939,892,546,497,493,619,954,567,254,075,769,294,236,297,372,384,739,557,736,
045,804,028,727,568,642,133,921,078,645,574,150,903,652,413,743,011,712,581,
851,470,623,602,438,207,680,788,871,898,402,322,189,928,166,545,645,107,257,
056,828,420,907,052,737,996,652,298,546,203,864,367,470,044,739,831,543,263,
783,724,334,129,232,591,809,326,263,442,165,956,034,010,180,161,818,032,861,
368,439,852,813,514,851,462,717,927,559,426,177,851,731,791,860,486,322,361,
929,115,821,211,079,403,619,569,758,113,121,837,352,529,573,001,842,499,611,
957,624,842,884,309,141,326,934,878,541,385,034,647,043,914,270,469,536,035,
105,352,406,447,135,126,006,193,286,741,542,723,701,502,130,449,992,619,488,
154,182,786,243,060,183,293,505,826,765,721,603,576,525,448,370,282,376,835,
690,400,243,051,201,265,732,806,990,909,027,131,889,082,330,342,175,781,372,
668,424,385,311,842,726,772,005,895,965,825,180,211,357,612,616,486,103,479,
342,898,199,947,845,594,389,974,601,857,898,441,552,094,069,321,764,583,695,
452,746,241,007,834,423,500,215,360,114,870,005,207,543,604,361,523,301,672,
367,707,224,166,697,052,681,555,205,867,728,840,768,685,197,390,230,409,827,
392,506,126,578,981,557,046,691,445,582,001,072,919,114,935,862,684,970,535,
526,596,047,125,838,457,657,236,952,202,914,530,699,119,492,018,078,707,063,
872,175,820,474,438,268,782,220,367,610,789,855,547,005,205,005,835,648,476,
670,190,903,238,502,357,092,979,766,360,495,760,619,965,946,196,395,870,398,
691,955,008,511,978,566,508,271,135,225,904,099,600,759,363,460,268,887,440,
743,867,378,152,720,391,614,464,453,341,875,923,623,675,885,125,963,468,406,
023,192,199,723,588,908,893,134,540,500,964,892,789,065,537,445,667,264,737,
101,680,819,737,017,181,049,386,481,475,962,285,549,756,500,964,428,542,802,
260,655,155,630,354,752,550,214,858,310,992,255,143,092,240,567,757,048,511,
742,366,668,645,805,325,541,425,802,455,028,884,171,266,151,613,719,051,939,
255,690,522,978,245,359,848,978,264,116,277,128,723,487,802,000,428,130,368,
603,225,330,066,373,136,135,034,620,854,734,276,523,021,864,364,038,901,888,
040,452,840,582,513,794,536,501,361,390,751,511,474,472,000,767,603,302,561,
894,316,489,728,869,151,886,851,964,714,566,954,495,178,114,316,872,294,990,
206,174,491,472,419,073,535,816,168,833,474,304,963,042,377,828,305,917,981,
107,948,831,021,237,775,215,153,005,275,086,631,594,172,036,948,801,165,852,
012,943,707,228,739,572,162,015,573,058,806,842,835,059,801,675,539,038,750,
571,596,987,152,686,284,600,876,584,557,648,259,835,008,292,314,623,785,366,
086,320,673,848,234,247,044,343,132,444,649,182,789,544,814,239,969,329,832,
670,900,714,561,777,032,555,068,687,652,312,269,313,560,313,999,521,907,572,
134,241,228,801,606,617,233,696,963,453,956,857,720,619,699,719,823,847,411,
554,939,944,880,769,081,735,208,980,177,011,621,471,835,865,037,431,120,683,
376,635,102,701,916,361,689,090,598,826,792,997,416,690,256,754,787,858,484,
756,216,546,599,267,794,336,354,872,346,208,580,455,862,261,189,318,932,197,
139,701,392,744,530,675,116,493,853,712,226,540,275,082,325,266,261,318,543,
906,238,518,304,699,989,768,853,999,345,108,830,226,801,355,664,861,059,159,
076,584,252,586,517,610,425,086,442,545,116,990,556,670,269,229,438,096,022,
098,800,098,986,992,590,451,051,863,771,570,003,398,998,533,582,277,161,878,
786,625,231,055,294,668,094,338,909,970,625,763,602,327,980,500,209,969,077,
565,688,053,977,438,263,293,130,525,226,269,243,639,946,815,754,345,405,313,
521,623,504,769,784,507,706,700,611,123,480,194,232,148,430,516,953,327,225,
904,672,370,407,747,338,896,955,230,752,642,063,041,348,450,338,349,220,127,
068,444,216,385,337,208,263,017,719,435,269,876,482,867,900,110,392,436,303,
221,756,436,412,136,897,090,595,016,455,235,966,912,195,962,429,682,863,858,
870,728,397,716,416,642,867,438,911,216,521,168,279,453,119,494,236,916,659,
294,364,920,887,582,715,347,681,321,651,886,382,421,339,485,065,642,932,046,
724,400,257,611,759,370,130,737,727,616,585,064,606,087,568,478,808,385,383,
121,451,391,130,529,811,762,284,333,873,567,871,826,606,516,969,460,568,172,
035,634,580,130,783,557,324,615,868,529,707,823,844,601,647,167,151,158,416,
796,501,744,409,225,949,510,436,604,545,729,719,590,427,160,729,542,894,822,
774,069,669,836,283,306,938,004,593,291,671,592,389,265,882,115,631,735,756,
023,205,068,012,794,541,472,114,972,548,177,157,045,886,442,786,584,668,732,
928,482,875,857,091,073,961,429,349,933,250,459,369,841,228,746,282,507,015,
251,185,456,726,946,025,286,548,311,507,325,431,489,439,211,446,705,407,861,
071,617,861,470,481,243,648,051,159,467,785,388,326,588,720,073,801,558,093,
862,529,190,265,260,234,630,404,938,588,687,998,080,197,629,284,410,683,224,
417,440,900,525,474,476,549,498,714,254,243,473,381,989,679,416,236,476,287,
908,484,023,126,657,883,188,072,465,506,188,688,636,947,094,062,847,828,728,
343,020,956,023,207,223,378,773,524,148,457,267,681,641,748,156,474,199,050,
792,940,800,662,218,847,774,419,913,225,062,463,290,188,270,639,247,588,584,
910,509,714,886,186,855,354,024,179,943,766,244,852,597,611,740,147,599,548,
532,177,168,111,548,497,848,813,735,996,778,843,668,116,101,154,308,891,188,
314,951,029,051,066,092,659,984,566,661,013,919,915,667,310,979,904,762,412,
728,713,851,398,419,362,150,993,524,033,116,742,608,584,123,380,314,891,326,
315,334,237,753,381,941,521,093,990,718,920,591,403,940,031,803,662,509,610,
295,534,927,997,389,305,168,083,439,206,565,604,330,969,044,107,915,698,658,
866,012,532,560,675,591,745,283,256,802,700,169,258,004,295,381,904,899,879,
195,198,296,869,962,258,328,272,943,205,458,684,579,913,940,214,072,299,340,
952,910,845,512,703,403,471,093,415,912,892,528,674,167,187,835,897,291,452,
744,515,283,134,072,343,930,593,773,310,201,795,535,139,760,530,557,826,764,
684,997,116,494,104,766,116,162,544,317,185,231,623,414,025,163,499,726,685,
010,416,727,917,166,809,174,099,965,710,653,038,090,324,111,447,215,316,421,
550,947,310,911,572,016,703,092,618,320,495,530,365,706,763,114,621,278,161,
969,674,019,972,633,843,898,868,094,031,857,667,481,492,787,209,142,909,949,
828,210,997,846,038,327,876,692,458,659,067,608,797,155,568,125,996,745,851,
119,405,442,385,954,258,040,460,327,010,915,913,398,375,506,719,562,850,251,
431,518,655,591,352,401,140,179,587,068,467,702,672,555,571,174,356,532,607,
110,982,159,269,233,521,132,123,926,559,246,387,239,718,442,412,947,659,458,
076,253,023,330,490,720,898,395,358,248,161,883,601,598,736,389,104,506,770,
539,309,854,457,449,288,836,586,414,463,383,798,360,345,374,979,476,621,276,
210,274,076,399,945,218,967,790,865,173,835,055,666,613,422,305,210,798,733,
091,778,519,717,031,445,373,326,870,773,171,340,597,904,981,471,836,180,551,
395,775,193,188,819,063,097,860,916,341,505,558,708,654,863,321,265,342,940,
263,911,985,792,267,162,419,716,368,287,458,074,985,705,752,671,843,831,532,
726,973,689,057,441,834,374,896,953,624,455,119,801,163,948,627,737,159,408,
229,598,738,559,055,312,633,106,479,913,472,518,722,635,927,444,712,163,820,
582,361,041,737,567,738,193,527,165,691,874,380,569,297,025,772,324,477,703,
950,446,000,732,123,592,926,797,741,903,294,215,023,624,322,048,150,044,891,
139,202,453,525,488,032,615,862,090,149,004,444,334,701,520,528,334,444,309,
975,639,148,984,071,146,715,808,933,074,102,123,261,553,503,914,741,516,202,
651,224,842,557,756,930,300,556,712,405,085,962,268,865,937,186,347,627,350,
454,462,510,069,504,384,351,362,740,848,858,088,603,646,370,286,445,600,861,
995,474,434,479,582,084,628,370,677,178,548,450,092,496,322,340,693,067,960,
400,298,816,084,989,469,786,948,409,396,048,601,804,561,632,561,558,071,330,
860,544,434,017,101,421,672,144,370,194,284,448,574,391,669,230,698,469,077,
812,885,029,085,888,999,607,780,301,534,223,595,075,628,237,442,106,211,723,
863,105,642,735,350,859,370,104,897,931,115,523,835,859,669,231,936,726,865,
839,167,774,546,315,388,218,613,382,062,883,941,082,478,446,727,379,353,164,
058,204,974,963,155,623,347,456,202,675,204,437,275,714,304,670,100,994,661,
195,587,074,171,574,239,727,888,010,956,832,288,291,995,638,958,039,491,555,
460,224,287,313,289,647,544,857,427,001,764,584,202,303,308,474,194,163,972,
258,856,218,018,577,044,234,696,977,126,869,181,140,809,791,004,534,184,384,
765,229,142,896,165,020,027,279,250,958,663,224,407,237,348,978,139,761,443,
251,568,694,882,842,288,382,259,746,543,996,951,290,701,466,062,931,471,573,
057,243,073,643,071,326,378,612,977,274,767,642,204,870,413,692,685,540,897,
024,590,047,984,451,515,981,332,253,625,005,423,207,386,161,923,573,945,558,
297,186,417,110,329,440,218,877,340,804,048,565,871,366,369,771,643,332,714,
735,346,555,381,857,437,745,009,026,051,235,016,487,691,287,036,489,287,214,
565,670,090,076,537,932,380,734,060,894,252,090,326,524,134,003,506,461,678,
276,669,881,138,606,922,835,648,763,199,180,853,479,361,027,199,983,381,865,
859,833,805,857,707,392,434,528,079,107,012,733,572,118,435,709,571,144,083,
647,765,011,399,214,345,550,001,004,512,854,325,028,828,999,088,443,218,410,
241,433,201,589,836,482,426,686,052,861,765,901,816,713,383,506,247,021,644,
931,105,069,476,504,448,075,546,862,119,035,152,623,299,945,772,865,375,947,
105,135,258,504,011,401,121,142,703,906,428,462,029,314,157,275,346,543,603,
986,246,125,960,137,098,181,139,356,655,836,382,303,710,202,156,052,207,375,
897,821,607,812,304,495,196,910,005,428,799,518,609,822,758,827,981,232,926,
945,028,790,192,134,089,708,169,408,504,870,445,480,182,303,764,283,956,308,
628,554,957,916,291,365,064,045,132,190,657,874,800,702,665,757,497,655,841,
157,383,462,973,871,479,150,893,500,199,129,436,598,404,406,610,811,795,332,
508,906,661,970,205,592,662,396,498,169,762,874,695,843,695,879,260,379,291,
722,181,597,473,732,500,459,511,079,849,561,861,782,760,784,734,500,412,867,
795,296,564,168,296,630,366,817,098,109,826,841,242,388,767,825,909,037,472,
247,299,039,407,934,998,773,569,341,651,540,399,813,641,718,427,949,555,591,
656,602,643,441,771,388,161,061,413,422,079,874,966,261,682,874,033,427,679,
726,667,144,229,658,919,720,170,573,857,458,105,204,978,095,106,136,852,568,
295,845,838,503,164,802,916,436,264,349,609,664,099,050,863,395,969,170,783,
264,250,509,539,446,969,123,970,001,165,531,709,159,692,542,029,577,704,469,
944,173,015,842,243,236,977,568,300,199,727,952,045,797,190,965,805,214,845,
500,161,452,704,439,337,432,007,524,946,229,961,842,173,760,633,146,518,157,
870,129,474,895,676,585,228,454,414,171,512,955,360,673,594,712,357,713,472,
424,907,832,531,604,833,806,836,990,242,349,597,276,677,184,768,443,515,554,
837,548,608,842,802,962,643,029,269,197,393,080,273,932,349,373,347,248,927,
725,950,675,383,211,342,968,224,515,545,246,746,095,370,488,266,577,462,142,
689,799,050,097,411,858,972,767,357,258,809,700,082,163,727,094,667,456,970,
706,418,639,409,088,920,731,775,637,643,450,387,005,835,745,826,807,785,202,
577,947,639,939,350,855,206,706,260,020,874,257,501,472,651,936,591,111,305,
580,296,883,620,794,800,260,311,212,283,585,969,514,537,699,116,097,109,509,
778,750,188,825,399,743,277,871,263,943,232,855,924,920,926,893,997,896,595,
076,752,944,031,655,433,992,651,482,100,274,922,574,028,693,283,849,899,230,
395,746,422,980,976,803,819,890,090,449,395,369,648,431,290,677,080,168,516,
179,271,422,133,217,237,601,052,370,736,348,687,422,290,323,904,974,114,775,
865,592,496,143,538,865,131,095,629,534,260,654,364,314,632,704,576,137,676,
241,421,184,086,002,197,053,283,054,018,616,944,768,575,756,608,040,552,570,
430,158,640,015,436,266,281,590,874,282,667,406,888,697,469,788,492,947,814,
700,113,593,052,135,398,890,650,662,757,239,268,201,628,476,482,371,782,750,
511,830,698,687,176,665,596,780,439,659,941,660,925,744,168,714,699,234,194,
548,896,668,636,675,834,622,763,966,588,734,306,249,663,688,842,509,528,894,
619,139,710,524,919,977,052,054,422,000,514,999,396,061,588,605,581,674,315,
427,433,651,625,772,142,339,743,111,675,732,865,206,825,107,787,041,463,804,
950,460,459,436,121,919,197,252,529,198,250,331,426,828,677,154,503,235,330,
999,037,402,092,341,834,224,475,849,378,949,160,763,158,607,872,311,021,555,
302,280,369,733,057,970,097,860,389,809,389,737,917,810,808,833,557,716,188,
234,703,979,308,352,815,165,486,886,632,692,227,903,620,864,268,128,785,615,
757,357,958,437,196,849,614,615,458,893,442,596,401,075,047,875,871,894,889,
604,140,509,439,400,929,704,215,526,270,921,056,935,388,408,315,297,321,172,
114,008,667,291,805,859,736,867,942,430,670,768,852,671,059,772,021,455,359,
218,357,081,059,153,593,745,000,489,965,887,171,094,336,058,700,405,299,987,
110,542,780,916,257,002,737,808,856,955,062,463,249,977,311,744,474,153,159,
505,824,225,455,267,513,148,513,358,193,159,020,346,312,587,795,046,744,779,
540,222,317,806,813,225,952,263,419,072,565,993,770,954,239,119,376,389,223,
567,569,890,899,672,939,930,271,715,212,009,322,267,934,608,999,205,932,126,
764,797,353,655,279,177,609,012,977,283,952,618,042,155,631,147,820,086,285,
771,647,483,183,720,095,218,998,409,263,932,003,837,843,205,340,867,304,352,
697,156,312,259,468,471,829,384,919,841,569,103,996,035,181,134,921,811,858,
202,773,497,028,556,450,005,468,222,866,425,250,787,216,491,715,389,099,923,
656,513,637,822,441,193,617,285,657,481,828,775,572,199,420,262,918,586,318,
158,413,982,981,326,512,468,471,025,870,538,523,911,888,811,569,053,607,108,
274,845,249,894,995,522,179,752,927,415,637,629,473,903,733,865,576,967,806,
002,803,041,562,289,546,246,369,487,821,394,235,608,979,370,264,054,457,234,
109,198,036,552,507,136,276,861,666,337,352,837,646,631,112,848,984,157,520,
766,573,999,882,109,890,939,050,504,099,100,743,536,868,772,110,087,722,621,
569,829,814,479,689,081,473,987,140,212,423,689,453,585,722,086,294,746,249,
328,285,278,906,158,733,089,507,182,915,256,119,458,922,519,647,161,131,007,
666,868,919,254,170,093,292,639,603,072,138,832,974,731,700,733,664,400,283,
481,517,113,599,848,517,325,934,448,600,337,898,588,947,160,828,993,719,693,
525,538,406,200,743,259,740,567,134,093,942,784,090,294,827,114,818,907,110,
006,570,497,342,734,773,317,825,950,425,823,733,455,077,862,520,375,167,730,
262,442,911,119,625,438,362,656,281,914,000,833,802,323,533,568,433,872,069,
065,260,027,409,479,407,886,941,223,036,419,615,942,811,649,123,831,153,030,
227,844,621,064,069,455,998,116,385,577,415,389,011,713,475,632,835,920,715,
174,526,897,817,051,515,270,217,751,261,040,723,047,479,535,661,021,560,839,
045,592,748,796,400,663,486,732,991,494,283,527,072,755,502,687,481,783,801,
663,745,907,247,730,806,841,807,631,548,177,087,632,798,523,669,062,098,299,
471,215,427,313,907,397,053,618,889,136,864,300,827,021,353,654,058,387,505,
307,903,964,640,789,278,698,780,766,591,365,723,023,224,193,056,289,592,175,
675,577,218,691,032,748,894,064,094,348,642,651,896,471,476,032,906,009,451,
633,344,633,161,711,644,577,830,934,228,084,205,342,625,307,683,565,497,378,
758,395,854,103,228,815,881,703,433,022,553,541,260,839,888,100,007,639,582,
134,175,811,354,326,052,502,889,263,758,441,618,794,242,107,619,605,405,586,
605,602,019,905,266,264,821,734,243,355,806,636,736,391,510,202,999,181,659,
729,474,795,839,454,996,990,399,192,491,584,217,478,445,011,381,085,195,630,
836,830,504,960,404,923,283,801,971,585,482,923,621,967,319,305,309,715,658,
960,043,805,785,253,989,407,917,972,753,681,216,838,993,597,540,486,786,156,
037,494,421,767,121,979,912,932,256,791,961,258,397,481,976,339,285,505,484,
876,306,718,739,595,361,558,527,418,087,797,656,758,682,950,946,928,458,950,
603,872,100,639,668,913,812,091,061,716,247,380,370,975,696,926,479,138,511,
676,593,476,741,053,635,057,839,507,546,214,450,469,117,368,680,302,399,512,
844,992,580,177,025,020,105,067,457,278,683,368,426,457,014,756,688,620,932,
580,700,037,609,233,834,760,518,750,775,865,378,531,126,938,187,214,873,917,
643,369,334,672,749,907,104,594,227,431,737,692,490,126,661,210,741,890,199,
947,066,235,497,641,697,082,898,653,817,171,086,522,514,301,236,976,967,495,
737,127,924,701,446,186,109,424,632,877,253,571,814,151,022,830,884,430,763,
393,224,961,800,651,651,862,084,061,031,107,448,864,275,339,144,279,496,990,
583,808,901,326,041,594,374,221,932,499,201,763,627,225,798,036,183,202,046,
915,862,335,810,435,808,419,822,533,078,748,244,743,745,782,830,255,081,617,
867,801,377,075,079,220,403,596,054,354,513,880,262,664,089,911,485,757,938,
224,913,871,877,714,627,598,600,483,707,220,268,223,175,373,832,198,225,079,
884,898,759,973,846,803,416,420,562,851,404,414,137,327,569,448,657,794,742,
580,568,175,525,594,278,734,632,896,470,444,114,004,761,215,649,964,932,543,
720,160,502,110,144,464,710,248,279,736,898,898,625,314,104,449,561,975,524,
551,736,981,963,671,973,110,867,245,144,198,455,136,995,597,284,816,552,149,
251,840,812,859,313,396,146,612,614,521,316,191,807,525,700,979,507,786,625,
915,789,047,621,230,795,439,375,794,847,434,783,478,929,239,512,864,636,903,
360,582,081,727,885,768,356,756,651,291,230,252,380,559,391,936,492,317,869,
379,479,742,067,447,303,637,258,787,676,247,287,215,883,630,887,511,547,347,
300,550,617,154,373,388,231,722,462,774,308,177,216,591,546,563,474,530,289,
246,704,252,061,208,830,679,316,827,593,340,439,635,396,474,276,243,981,337,
618,575,846,453,287,027,772,376,697,247,872,395,303,284,239,762,268,866,755,
382,336,993,280,594,357,165,534,535,103,432,175,096,592,213,993,986,732,467,
861,398,584,542,941,320,251,479,299,212,420,926,493,186,873,829,743,824,619,
717,162,338,014,698,307,429,721,926,954,461,317,171,756,973,620,571,665,200,
909,041,479,797,603,764,533,179,653,368,718,862,243,183,084,287,796,639,780,
284,240,626,829,420,729,081,772,234,357,972,345,066,031,331,494,080,515,548,
285,591,486,797,819,000,757,901,002,235,386,513,023,629,228,557,406,284,131,
219,559,049,862,128,086,672,712,888,605,234,473,058,765,245,175,976,225,200,
962,016,680,897,874,387,343,392,710,680,227,369,269,757,658,101,756,748,783,
037,764,133,457,690,469,273,706,130,674,883,613,644,609,986,828,265,285,141,
154,835,789,270,734,118,149,484,022,039,414,594,337,120,486,468,800,388,462,
793,135,226,973,092,241,323,140,782,268,986,855,965,778,937,526,315,750,203,
373,445,167,443,073,919,839,282,185,442,047,274,429,514,873,216,108,522,747,
927,985,447,766,298,392,672,597,576,125,168,766,883,071,837,554,142,884,742,
059,470,806,093,233,560,746,428,707,755,482,811,320,918,362,711,610,517,324,
181,932,148,513,403,460,913,233,364,133,844,476,061,136,062,641,049,050,656,
432,333,806,427,857,484,388,823,072,452,649,756,510,880,795,188,555,323,813,
693,439,387,921,542,538,277,879,868,085,728,413,709,023,163,249,345,952,833,
365,040,062,389,407,138,269,768,131,228,648,281,186,191,473,950,111,074,317,
773,042,126,433,310,576,147,238,617,523,932,829,871,144,134,929,819,066,204,
439,407,641,565,616,769,618,402,382,175,951,774,719,657,051,173,458,405,896,
654,855,780,305,383,826,125,294,492,808,774,111,900,748,589,071,911,908,676,
403,995,162,267,986,611,800,544,631,908,985,999,147,701,627,226,430,849,006,
418,099,646,572,363,328,362,429,879,580,008,053,624,128,076,381,244,282,101,
101,026,663,574,992,823,464,957,386,794,929,262,250,339,265,398,314,616,594,
471,069,997,268,264,380,842,231,159,304,094,544,628,125,268,161,810,596,805,
696,634,836,771,135,364,679,392,399,022,799,842,054,225,846,546,438,266,469,
562,560,527,935,058,858,607,293,394,383,449,236,989,841,816,652,215,482,038,
284,969,249,282,622,914,456,634,336,233,300,856,680,175,249,522,017,563,284,
127,041,830,768,514,479,237,699,842,958,277,037,983,445,381,752,818,384,665,
735,690,375,617,729,871,556,491,270,351,981,571,806,777,683,206,235,730,021,
110,988,742,206,091,395,793,918,365,568,686,673,730,133,310,137,395,325,687,
402,514,810,904,704,627,882,435,826,718,752,777,931,847,936,058,316,519,079,
624,388,926,754,921,142,246,538,227,520,528,328,846,714,892,889,155,876,663,
488,126,996,747,521,656,280,815,171,446,903,279,168,839,918,371,771,678,509,
492,904,371,300,174,942,110,681,792,844,220,423,821,819,826,144,209,696,898,
263,870,147,751,728,251,237,964,290,171,698,331,648,033,596,036,356,439,345,
465,469,686,229,637,524,127,301,713,297,492,594,427,320,727,542,115,439,231,
245,762,281,818,541,935,983,091,886,699,325,808,703,719,013,372,178,707,443,
151,658,551,597,656,902,446,290,326,080,656,657,132,755,992,329,577,007,559,
894,858,762,920,273,384,979,306,480,988,618,650,614,597,182,751,175,105,593,
277,956,788,575,854,353,727,183,511,382,575,225,755,531,633,222,420,630,113,
786,072,452,382,118,285,228,264,090,121,295,066,146,005,274,781,349,088,355,
654,361,741,691,297,148,442,337,448,360,953,314,035,661,786,951,170,791,036,
109,100,018,152,165,282,575,950,413,132,387,845,577,447,416,103,473,373,884,
909,726,032,765,995,356,097,770,238,741,132,622,394,274,294,553,109,344,215,
102,259,985,041,546,713,292,243,784,173,175,865,178,011,378,442,299,593,172,
977,521,928,269,187,942,145,314,412,228,111,335,858,356,708,062,716,941,106,
110,485,929,678,178,103,179,308,274,314,695,088,171,158,852,908,329,108,944,
243,176,644,481,202,866,803,727,586,422,674,494,717,362,730,565,808,031,693,
807,741,674,967,290,609,517,371,134,407,435,893,233,332,467,603,320,928,417,
081,538,897,658,825,886,082,174,777,294,136,651,455,941,616,985,210,935,575,
451,839,606,600,974,658,554,533,017,786,171,278,264,214,404,838,980,770,117,
448,342,324,196,023,728,649,357,930,840,621,427,495,449,977,325,102,443,070,
172,594,568,550,932,460,981,376,488,318,124,674,281,828,236,709,777,464,654,
271,549,112,469,694,423,060,632,890,534,353,486,214,744,475,813,740,618,468,
289,197,628,649,097,280,330,036,549,908,847,485,561,132,522,952,952,290,973,
316,541,677,992,212,176,294,420,751,740,117,659,045,688,659,774,970,667,590,
681,206,174,444,845,520,040,373,084,981,088,098,838,482,937,953,334,647,322,
101,006,913,659,929,382,262,179,415,229,170,140,444,447,897,766,438,560,961,
670,448,573,169,053,237,674,929,166,753,010,764,438,837,809,356,517,267,008,
937,300,690,636,057,366,056,036,659,296,761,389,344,514,583,493,699,036,796,
292,867,186,454,791,534,123,897,210,697,258,295,211,173,105,265,037,591,235,
267,425,215,384,534,989,292,416,234,271,689,790,987,246,174,039,921,824,932,
701,036,616,062,276,522,032,689,089,999,475,662,785,021,562,694,209,179,267,
422,795,703,589,601,817,329,685,500,805,336,951,242,175,589,878,904,778,356,
891,879,466,620,298,379,661,016,508,023,446,787,713,301,490,780,239,423,602,
683,236,810,065,766,566,041,380,701,843,951,951,228,474,646,325,348,039,043,
999,031,621,426,311,151,551,390,499,799,109,333,016,099,517,262,465,109,475,
412,433,184,295,350,365,734,661,041,843,405,152,053,445,758,627,114,973,222,
091,844,268,947,211,859,411,044,698,417,199,010,217,435,445,200,232,076,454,
157,116,766,714,165,669,774,335,289,271,377,247,441,772,525,635,448,322,667,
985,246,302,364,927,643,306,301,394,725,563,181,484,628,017,105,946,825,120,
418,121,231,443,559,984,363,190,878,839,943,949,105,192,826,065,767,162,877,
849,102,246,469,453,683,400,290,759,199,376,865,593,448,933,724,245,304,846,
933,899,194,721,167,886,927,051,400,178,591,093,308,336,127,117,400,522,040,
803,827,050,000,491,028,606,335,470,559,456,576,223,576,485,094,538,950,764,
723,049,161,724,817,587,268,398,508,729,233,969,470,949,248,862,728,809,261,
710,079,002,852,649,430,705,678,863,714,783,699,605,367,138,127,074,902,513,
088,604,007,869,350,401,155,694,089,259,659,180,013,192,493,174,001,085,763,
817,973,435,518,155,123,885,124,133,822,023,056,476,879,310,570,651,193,537,
912,745,090,794,378,997,242,569,288,996,410,747,697,125,087,180,159,537,618,
807,420,350,338,525,181,798,080,802,528,638,842,396,428,887,827,363,733,394,
358,558,491,115,073,541,743,683,137,922,409,755,676,119,326,994,977,707,573,
686,236,116,414,147,209,419,181,531,152,953,654,662,602,097,194,189,292,928,
793,532,796,703,726,048,328,314,354,064,213,995,758,818,921,506,569,537,007,
836,966,823,633,541,043,190,512,042,170,737,216,638,422,322,041,554,908,060,
131,220,672,843,902,130,393,484,138,893,993,841,607,857,888,564,351,191,607,
500,870,356,459,477,862,483,057,702,910,360,052,857,346,066,525,184,203,306,
656,185,565,859,631,709,097,861,959,550,133,937,560,049,115,490,559,709,258,
117,969,506,601,780,803,826,207,824,889,360,788,024,855,785,819,319,251,642,
532,095,870,237,680,825,143,027,854,097,774,189,742,961,745,076,602,769,882,
824,951,121,949,062,284,100,743,121,326,904,163,249,937,312,502,932,269,599,
686,214,083,966,091,212,605,425,262,581,726,341,500,082,211,352,346,350,598,
999,784,768,230,720,687,145,456,212,471,166,956,582,720,528,990,921,101,918,
715,070,952,800,382,334,842,395,327,797,035,024,953,240,146,279,421,307,559,
024,181,072,188,646,603,770,804,283,545,069,465,336,526,695,694,719,080,165,
155,875,802,262,182,625,509,562,383,629,379,847,835,752,376,544,303,717,811,
770,695,324,906,589,625,696,107,902,359,992,822,389,458,174,189,591,757,083,
840,495,166,783,581,451,753,152,554,905,518,301,110,123,045,907,146,577,597,
161,810,428,048,121,222,010,287,612,146,362,063,458,791,309,073,715,192,013,
093,184,236,995,922,373,353,932,667,066,816,249,247,263,768,155,317,678,726,
356,119,862,500,292,877,978,596,258,987,280,296,134,384,309,033,255,982,531,
297,672,022,837,391,281,462,140,559,692,252,922,151,855,492,810,211,288,595,
402,109,265,781,699,495,715,112,754,694,054,308,147,008,889,800,412,834,642,
247,958,113,625,930,375,468,705,413,526,266,218,092,618,340,880,271,771,591,
065,596,949,957,058,267,414,200,890,445,654,196,404,864,161,006,811,376,477,
597,539,764,385,939,456,929,966,957,122,916,161,962,831,430,781,787,628,429,
651,072,020,046,044,796,880,272,359,028,219,709,867,715,430,251,455,974,168,
305,667,202,481,063,760,567,257,859,390,714,333,184,044,851,870,563,320,809,
048,234,336,457,971,533,038,016,553,451,896,973,213,043,367,801,830,422,564,
433,898,341,329,010,136,411,888,375,315,359,141,622,380,772,689,067,609,503,
687,785,315,875,471,190,004,358,791,707,744,613,496,151,122,548,302,782,238,
698,020,012,931,423,308,873,652,297,733,718,216,183,716,980,374,767,075,096,
261,535,489,682,458,113,042,024,572,223,695,353,948,165,995,099,172,539,319,
222,409,222,451,806,236,075,234,351,517,271,373,623,212,447,386,366,384,912,
100,593,052,152,138,776,504,171,139,141,108,429,023,371,274,990,940,104,788,
697,046,631,518,642,695,473,964,597,962,246,632,452,526,329,052,440,838,293,
698,303,190,129,098,450,497,952,009,519,367,875,207,717,804,597,682,006,107,
625,322,651,163,700,712,592,982,744,166,463,559,029,259,943,606,721,426,339,
086,610,744,753,183,986,937,936,278,159,541,756,304,608,877,975,602,680,487,
991,397,876,192,622,865,101,578,315,845,889,426,795,881,635,894,210,919,563,
653,505,869,411,292,302,165,249,621,845,526,542,886,891,006,254,902,285,489,
171,803,516,659,324,676,106,009,668,237,504,981,107,228,907,884,147,961,520,
240,520,948,205,731,716,722,885,819,849,777,728,063,926,329,946,648,500,652,
274,186,440,446,817,952,807,235,724,775,005,555,643,720,070,040,981,231,416,
928,809,115,473,515,442,640,952,526,834,886,895,544,859,335,432,658,658,444,
075,262,787,804,672,134,212,555,313,499,636,151,369,735,992,013,552,006,740,
689,926,004,471,759,494,986,897,588,256,167,739,212,816,661,747,892,033,394,
631,187,156,092,199,938,803,438,240,486,540,178,997,752,200,178,406,218,109,
363,261,534,833,738,088,458,016,585,259,567,090,911,900,656,267,437,200,890,
618,680,858,225,771,153,181,542,908,497,976,509,437,367,368,887,831,567,510,
793,850,930,068,961,573,540,830,336,244,724,866,432,961,037,409,497,324,659,
956,950,463,670,258,268,108,556,455,033,762,359,711,413,431,770,488,913,819,
480,130,502,796,528,261,387,379,871,006,346,393,527,458,100,231,355,381,754,
143,839,929,435,610,447,229,910,423,831,604,568,606,746,131,291,858,681,475,
329,876,209,668,063,274,988,882,873,879,400,137,718,240,142,049,099,359,717,
865,110,458,110,465,122,460,703,624,466,881,047,262,633,709,916,468,531,975,
027,558,987,894,280,428,828,072,783,059,736,843,721,117,038,532,167,715,606,
247,258,439,112,261,173,117,027,758,417,298,690,362,247,963,995,152,424,858,
101,696,243,073,040,046,063,266,007,663,416,029,996,788,729,296,751,712,707,
539,413,012,480,023,518,263,132,309,307,584,948,405,810,805,130,222,283,437,
168,810,513,282,732,770,341,669,283,049,607,265,937,536,958,497,480,662,755,
538,666,549,358,157,344,316,282,598,540,261,985,127,953,651,252,056,192,298,
312,924,586,071,709,402,891,401,564,915,557,983,260,640,202,381,043,237,179,
447,375,001,896,744,482,581,172,383,176,706,965,504,068,464,177,360,530,660,
242,956,903,229,554,822,591,593,595,854,797,157,535,720,423,860,246,007,021,
963,940,379,883,631,233,680,039,872,931,324,948,014,428,683,452,902,425,920,
959,554,500,710,054,088,779,756,883,700,934,985,948,394,483,475,682,205,056,
613,873,039,959,653,687,794,444,522,015,190,560,064,210,038,256,283,404,481,
150,487,350,224,354,394,655,480,756,095,929,908,136,704,131,443,887,852,112,
540,995,607,096,187,718,807,314,593,590,505,194,673,778,385,426,565,758,360,
806,813,214,789,760,828,601,322,275,278,239,606,368,304,611,919,480,929,664,
552,491,372,947,574,421,129,197,393,174,033,290,981,065,404,587,302,327,056,
743,185,226,374,558,409,313,611,380,541,019,644,798,182,164,072,885,588,358,
189,690,241,809,965,943,314,765,269,046,210,072,964,031,614,836,382,668,780,
579,568,587,292,193,406,312,352,268,850,564,316,299,407,864,560,132,990,385,
327,564,206,112,805,571,479,288,251,693,020,661,529,685,902,750,731,809,739,
975,908,462,743,180,478,397,652,810,750,235,241,409,175,223,308,157,756,252,
771,824,716,041,272,475,758,600,403,285,833,756,031,305,686,689,875,442,438,
500,856,572,544,479,224,441,731,503,308,798,740,745,228,057,279,951,475,325,
938,640,747,152,379,772,148,990,564,512,887,396,748,900,768,477,133,177,695,
934,077,692,129,973,755,344,668,825,764,876,602,901,131,978,950,634,039,005,
161,942,034,854,482,905,184,238,028,774,834,262,255,993,985,628,992,539,961,
203,803,074,366,062,970,807,079,398,955,953,298,814,562,675,936,662,172,463,
934,833,926,456,217,350,421,569,981,818,072,591,750,609,499,096,372,577,840,
874,521,760,318,909,341,339,887,668,316,287,794,369,998,861,467,213,106,931,
522,880,119,061,549,118,049,854,959,066,588,745,115,017,904,219,415,684,759,
703,571,732,567,004,681,053,136,192,231,209,070,108,955,548,020,539,427,859,
065,757,251,096,436,348,681,045,584,783,910,482,191,598,980,268,228,264,463,
130,606,096,388,424,474,402,971,434,098,587,786,479,569,539,962,028,462,928,
114,680,425,593,026,388,560,509,059,299,789,238,963,604,590,222,520,562,861,
886,120,202,502,932,911,841,919,870,868,832,993,326,676,458,321,215,605,344,
272,635,407,544,393,522,525,949,311,067,756,144,151,195,442,895,650,331,698,
104,231,696,993,175,637,937,312,904,197,350,904,164,548,900,387,094,791,348,
178,907,767,633,519,627,887,323,843,341,295,437,498,656,135,959,097,907,307,
798,803,561,797,933,573,067,719,826,012,916,384,303,214,109,595,647,032,024,
882,834,143,333,129,920,389,601,856,126,885,523,674,529,704,358,612,850,968,
455,554,418,376,141,217,590,663,009,181,340,230,384,201,212,727,788,397,970,
527,830,000,948,255,216,797,101,649,309,327,085,199,507,048,621,212,834,585,
831,205,375,139,823,713,318,016,919,757,654,674,673,869,030,603,706,018,812,
925,953,865,725,924,770,923,532,368,294,499,041,261,971,003,920,718,755,988,
671,456,932,947,881,260,430,128,312,660,253,498,509,278,467,188,643,994,387,
953,080,196,368,027,498,604,223,228,268,562,901,513,635,422,632,985,762,177,
735,840,440,825,547,973,419,522,726,932,284,300,357,289,159,449,889,664,964,
427,323,170,220,208,352,584,067,470,552,238,650,648,734,804,630,326,491,815,
566,372,040,561,852,267,936,087,345,766,850,979,038,462,160,147,326,128,875,
994,180,182,170,485,134,773,562,589,940,927,674,736,617,328,223,517,338,383,
286,307,659,868,634,402,067,308,296,410,398,881,921,639,109,776,733,281,888,
392,827,376,988,812,763,177,953,960,831,258,868,828,208,332,443,554,769,620,
826,358,362,163,243,087,883,406,487,246,985,934,014,925,586,378,782,674,433,
237,903,521,803,934,424,876,189,806,753,064,940,661,570,738,035,256,933,808,
677,605,666,318,255,370,237,350,722,949,297,295,415,209,039,708,958,760,315,
440,327,571,173,358,235,307,243,711,683,988,589,246,847,306,692,051,512,537,
059,130,109,681,753,717,464,256,727,910,752,338,333,180,534,367,825,175,277,
643,573,238,338,479,228,794,484,003,610,975,194,287,502,674,260,553,522,812,
570,104,365,054,422,412,271,173,738,296,444,387,482,657,283,203,215,335,000,
392,407,866,523,858,138,226,252,278,445,635,262,455,591,249,286,357,232,005,
333,878,880,803,899,942,758,751,578,298,756,648,616,038,038,267,753,230,478,
657,719,905,834,763,823,938,265,303,411,468,874,553,336,348,692,170,119,478,
384,387,626,372,991,823,785,521,011,825,128,107,714,544,205,840,486,025,920,
253,452,116,387,924,455,391,840,347,743,723,273,611,258,749,964,625,666,444,
375,303,228,107,900,285,878,228,583,016,080,213,499,031,244,769,546,355,646,
975,126,806,303,480,109,005,430,329,068,553,398,479,673,347,411,845,967,688,
384,922,850,295,336,705,141,644,812,817,669,303,536,522,734,282,628,284,657,
323,475,928,583,816,554,064,635,638,713,628,148,079,180,862,335,361,734,745,
525,669,805,352,707,248,660,724,555,783,558,336,181,191,663,922,807,220,602,
337,015,361,367,690,131,461,976,526,181,899,097,322,071,337,440,268,817,538,
661,100,894,264,262,081,992,646,530,286,220,377,706,573,580,759,909,201,014,
962,933,154,767,133,533,013,821,365,795,027,706,127,211,451,614,171,545,263,
113,061,017,302,460,764,789,424,511,957,411,287,885,896,783,705,995,808,659,
218,214,283,975,281,959,965,564,303,995,717,971,074,969,479,139,200,759,377,
502,996,097,399,558,009,779,552,004,639,222,142,544,971,200,623,566,438,332,
548,408,153,263,609,124,983,751,811,057,719,282,081,898,482,289,295,365,693,
099,603,416,690,694,496,866,256,551,112,897,211,546,524,351,465,675,558,915,
956,092,298,746,152,986,453,058,738,344,887,481,038,976,819,605,239,508,526,
143,667,311,145,852,140,915,971,842,083,118,091,873,508,658,524,492,208,451,
276,579,250,805,537,323,568,299,376,559,419,276,418,320,244,901,947,954,717,
891,547,834,122,103,025,384,305,870,543,592,890,779,599,241,679,984,083,823,
974,732,073,736,236,033,192,501,924,682,997,702,072,723,865,709,336,416,081,
038,501,054,728,918,941,623,549,881,899,735,374,601,835,022,945,869,550,918,
104,509,892,793,828,854,481,643,002,085,198,040,521,050,328,822,956,485,681,
627,407,879,553,858,137,871,322,765,806,102,732,038,820,844,728,878,642,746,
788,926,523,755,082,505,942,791,589,116,783,981,476,498,322,786,661,707,819,
590,956,725,183,343,658,906,334,119,774,246,186,464,960,324,827,828,256,425,
610,885,721,597,077,516,426,965,178,745,111,022,679,279,121,200,606,840,131,
025,889,147,685,852,207,860,155,787,646,979,922,141,933,633,172,912,131,637,
081,795,684,865,509,220,618,556,121,932,946,120,696,481,195,179,142,099,739,
694,678,859,594,719,097,441,484,417,485,873,693,898,233,588,269,924,881,225,
972,088,018,242,944,579,846,699,972,042,017,223,536,943,820,726,589,102,016,
379,694,220,177,842,227,570,292,779,117,447,790,563,185,025,288,190,825,154,
344,239,762,364,488,675,096,596,380,862,282,080,220,863,573,527,267,995,386,
217,495,969,960,823,455,745,722,416,896,882,628,770,831,395,815,879,021,802,
987,420,993,075,404,870,972,641,866,634,411,767,214,834,864,482,756,640,238,
837,749,374,230,707,612,817,450,546,057,396,382,066,938,056,644,139,054,266,
393,698,012,193,557,511,655,854,517,646,080,767,832,567,507,033,491,916,410,
940,411,576,719,808,176,054,536,596,199,956,189,010,645,660,359,900,016,517,
493,030,880,882,133,618,347,596,792,874,036,280,093,757,116,189,968,931,773,
695,162,174,605,034,473,464,810,564,237,311,832,367,717,561,025,119,518,913,
416,908,805,327,613,484,471,618,069,207,463,717,458,808,585,927,299,287,860,
643,418,746,686,558,547,925,375,650,225,651,119,504,670,476,553,794,961,393,
393,904,201,026,894,572,431,711,814,612,702,350,053,614,403,027,805,642,529,
857,543,015,972,209,506,129,291,818,575,683,575,784,968,391,853,751,911,798,
942,701,078,344,550,329,690,043,424,755,160,309,798,372,817,759,473,205,949,
767,853,159,172,445,802,296,926,473,394,102,388,442,544,375,951,776,041,003,
052,715,756,917,474,051,657,424,270,680,314,864,896,856,147,609,917,319,319,
462,967,533,422,291,870,411,668,270,722,089,277,631,056,475,190,442,284,474,
360,669,207,289,566,693,189,545,597,997,613,613,354,881,848,325,426,486,615,
162,838,657,010,692,572,508,034,160,526,492,400,528,263,163,535,620,616,299,
845,744,024,124,657,615,898,298,903,452,431,854,285,629,098,226,584,539,909,
172,287,094,438,337,312,532,269,634,504,517,166,141,875,890,431,338,671,331,
376,471,232,829,952,965,249,583,907,904,999,987,944,789,971,877,999,384,126,
763,932,112,865,126,226,622,159,221,601,810,029,367,573,035,884,039,810,731,
591,580,434,168,810,196,082,352,697,180,220,946,003,934,081,905,721,175,860,
949,398,171,810,398,465,540,909,747,778,593,620,768,260,877,830,644,433,925,
176,647,474,950,995,223,487,696,779,881,978,149,289,814,391,588,231,367,564,
297,789,744,930,458,444,784,354,467,656,134,169,967,824,606,573,987,517,006,
006,773,359,444,365,822,272,884,662,174,973,683,383,666,911,022,816,041,916,
023,418,992,867,292,186,438,998,105,447,197,748,555,858,129,880,441,056,706,
419,275,198,896,293,733,324,804,172,826,768,478,811,836,908,367,264,597,417,
570,757,302,884,835,296,880,071,914,288,848,149,303,363,074,943,699,859,225,
176,705,655,454,187,995,890,181,127,346,434,051,908,304,913,364,414,200,757,
919,571,094,936,878,081,801,198,329,707,885,689,628,288,159,378,410,038,331,
300,147,100,554,083,937,794,437,818,610,501,713,775,149,212,411,249,039,612,
892,612,544,041,880,506,937,805,400,293,438,759,226,320,144,737,931,527,982,
545,233,504,603,033,652,655,188,242,706,555,422,617,345,580,849,172,549,335,
524,365,923,499,316,745,754,176,303,753,102,773,622,242,532,220,040,061,581,
292,762,446,268,440,095,759,024,527,196,371,956,244,727,259,299,896,138,601,
910,950,583,314,128,542,945,678,199,844,507,814,964,007,794,608,526,818,728,
221,880,102,753,237,376,741,650,213,073,307,555,201,329,848,276,154,582,600,
778,130,571,132,117,756,174,708,097,325,521,429,274,062,828,546,118,089,429,
816,739,206,163,196,085,732,441,356,488,427,815,410,842,006,500,142,560,458,
795,694,215,429,266,384,325,733,040,763,996,465,981,351,933,564,972,539,661,
482,341,468,257,640,827,720,249,848,437,357,766,889,307,464,988,911,850,134,
270,972,752,546,234,388,909,156,648,374,702,203,429,288,345,169,092,508,464,
161,454,324,177,822,714,124,820,589,602,082,593,366,855,301,134,175,205,177,
566,906,747,043,726,269,619,770,364,238,852,153,990,066,890,478,330,259,462,
538,270,002,921,854,372,293,411,323,396,193,808,625,608,925,456,665,912,426,
520,480,322,013,837,012,707,125,081,020,292,796,489,957,242,865,072,546,243,
307,369,184,895,468,306,977,473,150,536,001,356,427,745,342,535,265,580,781,
016,104,805,773,042,127,816,078,056,838,336,686,789,419,147,543,013,167,718,
290,460,034,624,590,290,194,300,406,322,355,593,348,636,318,643,994,787,445,
217,462,039,709,069,851,876,011,620,752,529,056,798,086,319,474,267,637,668,
615,703,689,734,551,927,203,537,259,057,942,444,034,488,509,047,330,136,409,
308,952,170,822,400,891,171,728,981,534,758,299,928,422,914,956,774,234,836,
136,053,791,127,312,563,841,115,434,927,634,748,461,952,305,990,060,553,583,
539,036,851,978,616,394,664,754,278,759,996,589,320,853,618,314,069,579,241,
208,778,285,805,319,936,380,795,222,689,259,975,584,374,891,649,869,577,054,
055,428,402,414,345,139,995,637,902,343,903,483,321,426,130,471,935,360,893,
797,183,824,726,524,865,064,751,919,254,042,160,499,231,744,367,768,838,281,
461,385,430,062,168,251,608,198,983,823,941,334,653,902,847,827,755,630,867,
720,459,134,174,021,726,913,944,339,767,596,078,855,998,678,912,573,249,107,
501,191,308,230,798,994,760,169,989,565,053,963,788,359,165,335,172,223,944,
737,994,898,611,305,194,741,142,570,327,792,709,644,942,079,262,649,579,078,
456,520,246,043,343,278,127,118,394,411,550,838,401,341,486,314,633,846,640,
973,501,386,939,630,275,864,380,496,440,886,495,580,581,094,786,355,623,902,
859,053,582,113,213,083,237,495,502,612,677,737,672,159,569,002,369,886,718,
516,025,672,381,984,490,234,090,916,532,965,275,567,364,246,334,888,135,968,
067,174,362,627,222,728,708,402,964,702,866,176,950,086,580,667,143,723,239,
580,412,816,643,335,454,500,024,344,033,922,556,652,470,212,056,435,446,142,
962,407,612,568,449,666,130,654,210,376,475,281,318,357,750,431,972,608,864,
842,113,484,104,176,087,792,098,713,385,116,277,379,267,396,369,485,715,723,
093,272,069,620,428,793,648,678,478,945,500,218,672,757,170,167,803,948,758,
310,065,000,562,422,469,183,933,519,600,202,376,864,483,588,740,673,740,672,
494,919,079,629,602,951,159,694,912,227,753,377,164,282,032,466,103,566,219,
473,956,885,463,693,045,402,288,513,505,869,940,459,615,627,314,722,967,223,
063,194,228,695,967,428,007,007,363,354,196,440,790,569,488,782,588,024,397,
970,641,579,285,531,080,795,244,946,224,882,613,696,698,729,861,978,871,050,
624,708,459,944,869,363,229,003,126,178,206,981,766,528,120,209,049,591,205,
663,648,938,343,844,034,322,183,510,915,270,779,367,733,510,155,221,831,611,
501,981,746,920,649,056,304,977,005,441,803,595,120,185,354,503,259,815,497,
729,475,595,069,879,831,687,942,266,577,011,504,320,663,708,133,938,324,162,
171,594,854,220,061,475,015,994,329,829,058,669,853,759,853,391,635,916,720,
844,071,766,547,491,914,129,244,634,087,313,937,863,052,686,457,602,322,822,
138,981,972,941,286,131,243,529,882,789,143,569,341,515,020,092,860,472,616,
736,632,485,593,968,816,052,901,813,489,775,537,846,585,803,067,594,226,400,
252,702,101,379,540,566,758,408,669,177,487,662,008,036,886,671,506,634,308,
005,999,965,920,248,140,868,340,664,327,900,896,958,610,744,571,940,474,896,
884,806,865,290,785,040,282,362,403,322,665,776,483,041,672,326,726,802,798,
678,341,813,770,434,893,004,630,584,496,374,450,313,690,196,362,159,726,165,
645,511,674,883,702,585,460,045,233,459,683,928,886,330,921,902,674,452,070,
728,523,285,286,217,244,524,088,471,623,473,309,921,973,248,012,737,027,014,
813,537,567,567,727,784,380,832,779,140,178,995,223,556,393,632,106,764,681,
284,945,968,475,109,494,638,534,220,404,317,864,180,235,883,066,636,072,816,
462,455,314,978,526,123,774,066,840,129,302,345,841,399,419,780,076,310,888,
055,956,728,387,112,850,623,660,691,644,832,146,307,328,448,918,482,978,922,
762,343,267,819,050,376,921,554,097,176,385,406,108,129,455,655,173,094,702,
143,262,115,678,214,216,863,234,290,945,703,981,349,362,863,505,689,114,773,
258,296,856,014,346,538,097,038,199,695,672,526,732,681,162,375,473,295,978,
266,349,847,743,104,953,075,500,128,495,432,242,338,553,888,136,481,538,777,
576,335,514,727,410,714,884,311,152,422,832,271,160,536,199,840,718,899,350,
521,185,710,959,282,832,991,812,847,637,356,558,177,856,630,888,367,235,322,
277,356,746,041,472,860,817,977,293,491,750,904,672,348,496,763,219,388,290,
863,491,835,693,164,608,154,686,916,559,791,893,448,481,952,711,539,476,363,
562,351,187,243,818,763,770,647,150,907,977,355,627,241,314,045,191,194,414,
925,526,413,395,095,435,516,583,924,773,671,711,098,445,098,807,957,602,215,
913,357,231,029,908,428,162,108,481,847,796,039,299,755,993,955,332,853,468,
141,256,758,027,644,237,182,130,005,330,640,498,847,708,976,447,186,909,373,
635,507,532,964,191,699,348,782,258,573,127,858,048,371,910,928,705,498,385,
226,599,113,362,201,510,157,765,961,753,761,656,815,791,056,954,249,465,000,
480,298,484,106,721,972,073,833,681,027,597,166,487,730,284,224,224,099,676,
064,220,804,439,622,318,946,385,603,186,423,395,047,861,759,186,518,748,820,
051,048,168,389,702,387,878,053,726,961,887,196,138,614,114,385,658,513,049,
146,792,753,453,061,795,816,326,536,594,061,383,691,863,076,981,362,436,082,
209,489,221,439,415,911,789,383,029,342,180,379,432,684,806,881,867,202,007,
902,187,986,530,088,321,368,545,339,037,615,888,979,172,307,860,919,417,598,
040,640,684,465,328,401,996,515,294,661,560,617,281,888,176,365,982,274,233,
829,851,193,148,409,984,754,320,373,391,511,988,228,276,147,375,026,064,681,
371,823,816,197,333,068,486,433,119,113,038,112,979,349,471,677,006,825,892,
978,429,183,787,177,155,989,712,324,215,710,642,371,496,796,869,696,683,830,
047,178,871,398,440,934,664,785,674,258,729,964,906,227,082,924,038,565,804,
995,059,868,971,031,218,812,476,941,746,463,298,393,904,768,002,891,547,970,
286,398,529,141,652,081,464,325,797,907,225,796,354,993,663,664,081,634,634,
802,172,565,252,413,943,955,162,508,906,764,788,638,634,046,735,276,277,008,
509,566,555,108,895,755,860,315,526,627,407,937,469,687,958,806,275,396,546,
264,163,588,691,897,471,089,176,112,176,661,415,591,368,114,396,218,138,558,
719,542,881,779,526,165,139,355,334,548,282,005,944,873,931,055,414,228,617,
141,459,720,720,195,224,480,820,910,531,204,013,281,011,312,823,172,635,661,
541,512,431,469,900,945,914,311,214,537,608,042,370,363,705,612,729,832,843,
584,494,962,390,253,044,492,136,947,202,018,705,660,222,114,916,752,377,505,
506,949,750,440,447,613,649,411,044,336,295,371,215,801,442,866,700,289,827,
877,736,657,657,118,293,044,783,088,947,414,870,488,842,467,089,532,390,446,
362,622,129,148,058,554,222,730,620,321,321,815,871,919,252,798,934,975,006,
087,327,214,628,282,257,993,272,331,413,151,915,789,946,915,110,382,885,366,
802,277,066,697,403,583,060,875,572,074,604,511,987,229,246,613,245,715,735,
881,336,747,089,202,722,776,139,578,587,124,811,227,143,224,386,851,477,611,
900,872,786,859,139,414,813,009,050,681,228,939,144,474,128,873,724,172,913,
878,660,472,441,816,300,076,385,265,845,839,008,845,309,687,982,582,126,577,
720,990,935,429,656,373,452,549,576,492,226,017,515,733,025,035,746,030,308,
722,639,706,874,616,911,554,226,186,142,714,809,477,186,650,807,062,384,064,
018,541,816,825,937,696,734,443,547,911,400,023,289,209,570,117,272,803,364,
618,306,360,490,322,861,710,956,711,299,235,658,226,791,197,474,062,377,244,
821,333,795,773,150,594,030,543,705,373,291,208,806,533,953,487,582,695,491,
572,558,384,432,985,218,343,547,381,711,753,632,843,944,222,324,375,478,581,
850,811,125,604,927,011,044,748,446,388,072,721,496,129,446,916,914,093,602,
116,420,625,301,311,591,214,545,260,230,948,554,263,939,830,081,858,518,305,
544,517,432,775,264,761,528,419,991,723,831,106,982,736,499,675,240,886,179,
268,905,470,892,955,582,382,065,121,301,559,968,883,327,923,658,157,381,452,
491,271,382,337,259,895,381,329,247,037,076,887,919,300,793,583,313,536,613,
875,696,774,516,720,664,448,033,101,019,719,071,883,168,338,529,131,130,567,
420,668,370,310,639,094,634,757,355,241,601,340,282,960,732,670,437,413,704,
731,403,117,159,500,313,846,521,733,354,992,316,097,531,701,906,314,590,020,
905,227,859,772,259,550,611,920,755,959,701,214,566,483,054,664,679,024,278,
829,151,449,358,291,981,645,761,836,884,604,437,739,348,525,088,758,354,921,
722,472,244,762,535,030,275,447,626,606,228,476,358,094,196,089,976,940,428,
498,541,071,039,636,894,142,948,947,187,160,936,574,702,495,918,304,878,230,
316,773,670,576,962,635,986,223,700,057,428,201,032,877,886,827,956,067,538,
714,744,781,017,645,332,154,078,082,642,516,373,764,913,440,286,983,161,450,
231,142,471,222,915,852,612,686,625,387,349,401,297,862,567,009,030,712,175,
788,848,575,284,564,109,401,229,025,324,696,652,765,571,957,339,919,104,474,
309,755,138,957,122,569,622,063,786,256,426,556,690,802,414,859,789,075,397,
061,281,340,633,487,251,951,283,155,208,517,531,902,348,778,133,703,724,806,
032,756,295,843,841,794,305,954,453,552,872,859,671,784,612,311,721,752,739,
708,230,502,262,004,173,796,952,717,053,726,321,737,232,024,937,295,430,887,
770,723,878,258,010,978,711,875,525,976,298,389,290,878,819,152,704,337,564,
340,357,392,629,981,909,146,196,321,236,390,793,030,236,934,036,008,483,614,
371,427,805,508,082,991,038,352,470,930,267,072,579,492,719,861,817,296,707,
985,722,659,022,263,645,641,662,103,042,678,551,490,286,409,693,985,871,523,
093,497,476,467,906,130,935,419,398,067,613,193,717,403,702,603,789,985,198,
788,631,752,186,153,516,954,169,415,032,585,444,718,426,966,668,490,055,283,
039,963,221,751,885,644,869,593,119,269,139,226,704,238,475,093,446,428,705,
240,235,728,418,223,122,567,247,869,759,463,636,372,782,942,536,547,138,708,
166,929,235,221,274,466,005,194,629,967,404,814,780,380,998,338,869,986,671,
217,428,226,748,618,699,386,070,905,975,891,487,651,929,811,279,142,678,296,
400,911,355,465,628,886,852,638,770,934,326,185,225,111,989,620,216,729,108,
213,546,298,850,085,172,368,570,648,106,841,641,577,392,002,606,158,505,205,
400,210,797,210,023,164,212,908,886,387,040,556,810,209,120,753,620,295,216,
809,204,419,800,659,606,503,048,117,691,132,550,702,469,011,528,881,947,426,
374,169,817,708,445,460,988,174,734,643,343,364,977,304,311,490,980,545,837,
202,263,096,581,405,260,193,789,904,085,060,098,612,642,695,897,223,971,188,
049,679,224,047,143,855,065,626,376,286,851,191,572,276,186,815,682,770,183,
625,529,908,393,392,057,211,942,688,967,845,765,289,298,836,679,226,831,958,
362,682,850,346,412,792,188,020,824,032,561,664,865,039,785,270,436,775,677,
880,039,836,066,521,121,313,699,242,190,922,906,785,594,089,719,924,687,724,
468,200,139,517,435,743,922,338,564,358,771,431,347,873,364,444,451,311,106,
669,065,064,209,591,524,321,362,590,992,911,988,781,468,926,416,579,135,871,
001,883,635,601,160,095,767,126,047,759,488,080,174,191,774,239,402,040,622,
307,130,068,971,730,762,622,327,777,330,812,650,728,354,989,140,811,773,941,
418,320,582,126,226,010,497,913,577,842,213,318,537,974,632,532,495,461,197,
318,045,165,921,486,478,785,494,985,064,902,427,441,206,494,976,282,725,382,
981,806,139,223,983,150,906,661,915,343,275,662,476,010,902,254,360,278,742,
617,958,690,566,748,219,912,012,708,193,002,356,996,414,783,915,561,734,123,
130,140,583,321,701,457,582,039,618,745,422,598,865,346,121,457,222,715,995,
151,032,601,963,385,450,693,615,513,884,076,966,498,645,677,836,987,039,433,
354,897,757,060,485,283,395,160,689,024,289,674,290,819,518,521,638,093,211,
410,857,830,269,224,531,644,429,325,656,941,977,148,805,974,773,557,492,533,
193,172,300,323,987,116,910,556,337,338,672,196,842,492,434,178,638,588,613,
167,966,325,962,942,708,926,207,271,730,448,619,795,338,867,829,497,831,641,
360,583,863,540,955,322,254,914,189,517,801,654,867,344,302,399,369,152,120,
783,040,292,113,079,378,031,813,277,989,885,847,182,559,064,697,586,065,544,
584,937,867,040,664,304,101,827,294,882,482,622,448,093,806,046,660,503,029,
333,344,955,001,872,222,451,526,048,690,682,622,829,877,021,256,628,682,830,
577,074,355,561,328,440,724,602,469,794,602,057,239,763,516,966,992,671,276,
194,881,360,483,711,297,090,743,360,142,145,222,852,885,224,989,893,749,904,
389,424,718,857,038,529,722,250,638,550,535,512,079,363,583,837,855,817,601,
797,490,783,345,862,663,219,003,269,999,759,901,805,831,921,686,202,301,579,
090,840,159,960,907,620,256,073,458,326,675,967,928,637,350,222,637,532,975,
462,254,322,471,366,952,020,747,726,036,095,876,338,383,757,887,939,536,894,
235,945,354,577,635,557,892,813,258,481,021,153,297,211,628,532,281,092,025,
715,120,858,909,463,133,842,068,123,498,994,765,421,501,359,649,759,074,450,
489,788,090,333,545,873,636,103,480,821,963,655,416,157,966,873,316,074,907,
878,358,282,538,562,480,694,918,598,933,589,786,131,960,077,761,426,525,353,
972,855,115,793,687,098,001,920,600,237,699,726,154,179,154,480,082,513,447,
478,926,487,409,938,183,743,264,801,579,653,634,461,454,397,987,709,632,559,
955,215,571,237,764,543,538,749,420,999,837,454,121,942,112,136,569,273,390,
106,165,675,294,220,302,583,693,616,503,256,446,436,105,209,334,673,016,988,
658,522,507,708,188,900,088,369,602,155,157,898,864,581,940,943,319,943,609,
103,815,837,665,531,254,227,657,512,274,094,551,613,594,185,353,266,689,173,
159,635,970,727,774,251,398,683,716,820,259,334,367,755,765,200,980,124,416,
503,604,869,433,841,250,530,118,903,765,151,344,945,577,638,092,858,634,910,
468,272,259,461,972,557,579,481,241,225,290,286,040,944,005,399,504,755,221,
677,235,337,207,855,928,383,407,085,357,321,134,715,230,295,900,164,824,442,
485,127,666,578,946,587,477,509,799,386,724,801,283,557,008,480,670,670,648,
450,007,226,482,264,744,929,053,910,972,327,178,620,025,882,363,595,336,315,
090,611,292,792,866,002,629,423,178,734,668,938,721,466,445,826,746,141,781,
035,006,522,033,360,263,179,011,795,654,609,301,889,828,671,233,331,243,136,
306,510,308,529,585,317,861,481,198,941,266,470,643,896,064,958,332,946,838,
123,809,177,643,559,844,179,358,433,382,810,365,624,219,780,404,024,469,263,
247,220,601,379,451,801,641,586,158,898,761,704,625,410,225,104,792,016,574,
132,118,851,255,956,615,271,266,387,877,993,550,202,317,258,237,358,806,054,
006,044,301,331,643,872,618,517,837,065,435,887,382,155,197,843,661,792,717,
670,973,466,195,950,505,306,908,672,070,594,229,674,607,590,536,781,050,135,
727,418,577,471,014,548,838,386,853,422,356,850,230,215,846,029,690,050,802,
012,259,016,762,137,783,485,527,704,626,598,666,820,159,575,780,516,203,558,
735,315,373,968,938,524,091,841,857,752,129,982,430,697,499,518,581,235,647,
553,677,154,006,331,359,639,850,261,485,476,507,408,114,389,647,205,140,891,
273,645,273,046,677,421,420,113,627,882,792,263,611,150,110,143,410,296,424,
790,281,762,672,958,365,276,577,437,844,573,192,298,115,683,326,628,642,237,
550,526,515,701,001,502,480,746,034,597,635,381,744,418,082,267,974,332,876,
645,527,256,261,322,849,969,007,921,578,504,657,279,375,788,894,406,508,964,
195,884,077,129,907,129,916,673,440,548,473,063,321,882,138,048,853,707,977,
589,630,420,357,500,763,690,161,297,838,217,953,004,369,113,521,576,910,237,
755,592,638,107,234,566,241,394,016,617,196,441,094,901,715,449,875,885,238,
292,626,197,795,513,881,812,149,994,649,640,583,129,767,340,984,740,782,474,
249,725,135,311,707,017,808,851,424,401,486,332,591,635,147,772,478,888,704,
971,319,964,520,758,686,476,994,245,485,293,179,951,778,384,008,782,260,378,
643,323,798,790,780,256,309,893,148,763,032,450,304,692,103,449,148,324,035,
203,613,098,444,497,385,869,631,673,149,636,328,921,977,243,223,423,539,959,
374,910,110,385,972,885,443,646,933,334,592,427,474,653,294,521,130,122,811,
998,132,786,932,928,568,084,150,161,753,962,424,266,990,911,984,639,568,640,
994,810,748,764,310,242,702,224,568,131,445,982,386,486,908,370,408,373,752,
780,761,491,617,303,316,288,283,643,968,315,609,522,467,766,662,644,314,323,
605,991,227,145,575,981,819,807,547,604,968,099,477,177,523,630,093,157,918,
492,820,878,907,896,667,580,626,325,606,523,078,252,050,251,994,613,581,253,
978,460,882,378,837,610,441,494,886,455,546,493,695,831,084,975,083,692,273,
094,828,307,959,055,046,401,901,696,380,734,924,273,954,458,001,422,899,358,
552,597,023,806,055,031,979,952,820,556,581,260,668,858,857,710,667,955,621,
355,539,121,358,545,017,804,853,445,052,538,259,117,038,117,609,186,446,174,
807,968,803,174,293,093,685,110,706,773,151,639,682,360,810,212,776,154,473,
233,351,155,560,432,604,924,363,815,237,743,037,062,771,587,154,823,250,629,
995,614,378,552,151,712,388,146,739,594,434,157,719,045,033,680,018,119,823,
282,176,569,237,980,265,864,360,355,180,162,446,522,546,535,146,862,058,611,
816,187,173,473,862,673,741,131,494,381,108,079,101,667,673,034,852,681,522,
456,092,105,464,319,441,938,317,647,915,261,843,644,682,689,135,185,988,484,
967,010,279,070,897,822,775,954,523,844,011,581,299,745,207,454,251,607,727,
504,314,817,494,947,747,088,006,451,110,447,471,917,323,343,252,730,864,326,
873,206,244,509,668,467,505,062,638,131,897,148,645,967,919,434,248,075,103,
803,099,015,130,147,327,552,038,951,966,497,643,321,169,573,930,568,937,375,
219,016,100,606,479,851,678,329,717,528,436,794,807,322,925,485,468,181,317,
515,854,095,331,897,019,584,028,546,878,250,393,394,082,232,057,350,615,294,
507,368,700,383,886,094,234,427,649,412,504,016,198,561,651,070,076,410,840,
755,808,969,629,373,964,109,635,092,910,660,512,571,639,971,775,685,083,447,
327,017,938,515,026,355,311,694,478,610,786,453,354,987,511,809,376,086,717,
735,479,349,165,695,947,636,471,134,296,167,468,062,160,767,617,415,615,446,
437,671,724,292,731,919,943,291,545,523,630,018,514,111,348,976,174,000,217,
583,093,616,161,519,197,282,127,788,181,271,447,112,159,169,067,112,544,439,
366,887,977,287,980,915,300,859,592,570,339,791,133,254,374,578,887,671,462,
924,548,766,082,022,333,824,395,364,169,699,193,528,224,793,299,766,763,859,
343,202,985,833,461,483,814,058,563,172,712,108,705,021,067,931,146,324,534,
008,245,237,736,721,829,421,236,464,818,572,183,206,799,967,296,902,331,476,
420,925,364,362,526,718,033,664,822,734,429,136,835,290,004,233,079,660,582,
049,887,563,205,048,412,472,446,692,915,623,077,614,438,328,887,468,141,806,
340,671,811,645,058,570,913,140,655,781,345,093,352,799,476,694,646,115,212,
284,456,560,040,178,316,469,493,808,486,200,289,066,258,199,513,822,770,769,
995,432,540,587,376,060,548,972,355,963,133,167,007,289,786,704,500,019,304,
832,106,166,599,413,043,529,555,298,396,512,319,744,468,194,165,426,002,456,
839,094,191,666,201,807,567,167,202,896,655,389,949,904,105,377,655,090,254,
058,962,843,266,868,353,882,873,092,365,454,211,627,153,167,286,806,165,570,
018,579,546,489,886,944,784,901,397,273,250,806,309,777,761,563,123,354,306,
666,843,539,352,032,421,790,096,754,996,831,477,245,051,273,246,487,789,603,
579,432,630,895,706,636,473,712,853,093,684,924,415,986,239,564,633,343,112,
961,671,030,766,757,769,423,537,441,948,967,914,524,467,212,805,542,796,652,
321,653,301,784,462,005,136,173,499,103,087,409,486,537,419,148,695,171,791,
869,735,055,968,471,038,630,758,415,585,989,167,591,340,934,951,038,575,256,
012,379,338,992,637,844,568,720,770,011,574,498,536,871,456,056,346,369,529,
359,149,293,559,699,318,328,021,067,111,765,385,746,346,332,986,923,026,553,
263,177,870,465,308,039,491,948,319,395,511,099,519,141,770,802,919,385,982,
877,136,679,780,809,988,626,260,160,792,771,607,707,769,652,428,241,316,391,
114,507,197,727,341,025,808,609,757,545,318,177,760,269,476,766,131,705,462,
901,682,291,802,432,991,444,014,363,439,695,540,957,274,492,004,145,675,817,
324,843,210,638,454,925,471,340,329,346,370,584,365,996,012,655,158,547,642,
867,874,746,881,514,186,373,895,715,240,062,205,982,642,050,816,771,076,436,
585,289,231,008,776,514,563,909,086,733,149,771,459,109,889,114,925,844,976,
159,505,282,239,553,352,439,023,490,494,955,767,917,242,709,906,486,902,761,
166,573,954,616,016,651,210,300,310,913,220,847,448,246,336,446,851,589,018,
915,208,194,711,696,497,325,587,797,118,457,931,569,832,706,398,447,684,783,
265,302,151,983,683,569,059,446,086,986,056,979,426,898,182,911,735,687,858,
113,680,155,579,738,701,864,141,069,566,643,678,171,060,885,713,008,035,775,
194,200,866,843,418,905,539,847,503,015,195,018,328,931,221,065,423,545,594,
506,764,189,173,438,108,136,565,113,034,036,446,500,261,359,225,641,408,365,
877,262,753,309,858,406,658,043,264,812,467,835,379,973,684,744,936,277,462,
051,334,562,537,274,723,018,001,630,707,638,409,097,854,455,763,473,931,352,
217,907,505,493,245,028,977,835,514,443,666,447,308,871,099,919,584,365,477,
602,521,136,240,691,757,650,523,871,602,631,423,230,381,245,624,852,190,925,
277,763,518,444,928,894,759,723,232,106,535,943,592,203,721,633,848,026,394,
860,203,445,491,296,480,990,733,161,627,373,630,379,881,586,619,004,852,103,
613,912,039,379,980,281,844,186,054,273,749,068,744,675,230,312,640,659,338,
520,382,675,825,471,700,045,723,484,985,605,159,495,655,918,106,468,446,416,
268,471,939,598,951,340,173,579,891,702,171,085,960,674,769,017,340,084,234,
282,176,196,007,578,278,944,550,545,887,768,369,715,125,021,861,996,619,589,
691,117,499,210,013,756,586,429,162,898,532,192,993,268,072,876,307,823,878,
883,543,505,918,525,496,947,682,087,970,449,350,271,647,944,332,997,794,940,
620,584,538,241,965,718,727,119,958,685,552,223,388,297,763,468,224,400,677,
594,762,563,909,624,250,884,766,008,909,091,956,229,607,192,045,507,335,158,
094,876,694,189,953,955,312,944,419,180,673,111,111,957,221,847,269,886,536,
078,591,199,300,074,581,347,132,580,246,069,610,584,096,741,992,058,611,086,
742,895,085,460,603,250,230,911,290,725,904,667,868,498,834,720,687,958,825,
492,240,151,608,394,082,893,592,924,276,729,614,018,305,440,580,050,493,879,
397,262,025,734,396,495,800,775,110,861,366,373,886,774,306,791,244,248,418,
752,349,730,857,896,521,929,612,187,592,847,192,798,498,155,454,016,248,565,
312,880,826,441,645,157,111,925,901,871,051,883,830,297,014,909,460,086,877,
628,267,928,216,748,328,292,134,681,905,366,911,095,496,237,339,223,550,679,
212,903,356,416,388,193,537,272,828,197,559,041,318,832,034,965,741,860,249,
307,173,104,348,753,432,923,862,989,815,502,728,672,462,453,311,996,661,072,
091,110,221,953,132,906,708,322,807,860,033,716,960,406,806,408,521,628,504,
064,995,942,741,653,994,933,884,092,629,923,696,542,647,436,908,116,512,297,
137,538,392,743,834,275,660,769,529,560,537,052,906,129,196,301,406,271,126,
949,668,667,797,155,906,894,729,242,247,904,536,200,820,103,669,241,484,618,
604,614,470,930,238,175,832,349,520,085,749,492,775,178,807,731,214,939,284,
025,779,147,653,041,596,583,048,306,338,904,440,923,191,610,652,960,419,896,
618,356,876,230,418,659,836,119,245,369,501,651,616,601,029,635,225,704,250,
140,449,355,795,771,418,443,709,573,933,056,815,348,551,290,278,746,668,844,
249,047,570,803,368,012,110,433,133,580,891,743,047,724,716,144,852,944,060,
838,752,566,250,787,333,625,551,167,221,039,012,544,375,733,743,610,557,468,
241,747,780,073,256,251,865,676,753,456,039,928,720,821,967,271,806,479,262,
622,566,639,313,006,929,654,274,630,487,656,390,124,457,669,302,565,585,577,
282,857,335,201,737,773,903,717,800,034,588,762,113,336,439,413,227,418,299,
106,718,396,003,192,049,411,420,227,098,384,088,638,669,220,125,971,526,610,
455,520,355,749,642,175,585,844,106,676,161,660,411,802,769,669,695,985,579,
285,231,652,004,586,477,747,715,297,674,865,494,673,574,009,040,699,756,070,
383,001,307,919,346,111,742,683,025,866,218,896,819,165,909,286,603,348,455,
169,075,459,723,233,059,630,280,685,160,128,362,402,075,781,880,644,906,757,
957,822,711,438,868,122,776,652,361,575,561,015,210,273,329,746,417,041,005,
437,498,955,554,137,287,648,580,773,441,204,122,855,394,456,738,125,741,653,
022,008,363,481,455,247,685,703,874,102,753,624,207,059,205,892,851,920,264,
198,473,489,925,261,058,165,103,801,755,286,529,942,637,414,952,737,111,292,
823,917,537,494,671,459,373,893,747,873,042,476,943,156,137,004,551,948,478,
983,157,715,412,915,515,172,965,800,640,029,880,884,945,832,991,581,210,235,
497,548,623,403,531,915,098,239,547,806,286,942,796,075,185,886,213,019,903,
098,049,064,358,798,451,507,606,454,300,889,182,200,142,873,737,345,299,198,
384,093,707,546,430,425,682,121,060,396,717,418,273,372,339,288,177,168,837,
740,767,282,481,708,513,009,775,763,860,923,563,834,539,065,401,807,566,422,
472,182,433,333,510,806,621,996,121,101,539,247,387,062,323,004,819,194,238,
872,738,640,028,212,330,520,721,070,112,841,806,198,297,954,969,069,123,093,
679,817,468,049,991,617,664,546,519,786,405,927,579,357,807,408,004,622,953,
056,738,264,218,778,025,487,261,367,666,945,409,382,728,135,778,843,102,413,
033,826,860,473,198,101,489,909,295,362,099,286,117,848,549,395,311,304,203,
220,939,657,980,702,708,558,451,554,640,466,342,319,507,179,124,117,034,056,
047,701,104,788,344,346,610,371,892,928,396,437,932,992,062,906,968,707,590,
032,042,391,848,865,171,615,555,806,005,751,306,591,957,012,120,000,628,640,
912,930,851,134,336,386,821,888,595,082,579,787,636,765,819,152,101,436,135,
662,283,453,724,142,306,120,562,087,316,942,747,794,656,763,270,953,226,914,
696,887,360,440,095,031,876,461,660,821,332,568,381,453,617,722,440,857,238,
089,277,116,578,400,272,805,164,804,734,070,850,653,923,829,094,086,061,985,
094,539,260,926,594,399,386,266,756,334,450,824,199,164,313,412,954,679,988,
359,073,193,723,160,776,979,687,069,279,543,799,083,485,022,350,926,498,870,
133,573,443,890,505,675,496,723,802,869,456,240,267,862,650,772,718,494,216,
333,627,980,310,981,065,701,281,180,614,544,612,785,891,102,499,583,005,918,
227,738,946,201,132,166,912,417,126,071,163,498,156,516,401,481,685,781,573,
348,943,129,233,580,721,625,757,122,509,758,324,009,596,516,669,996,249,067,
074,900,988,417,748,570,443,260,814,352,156,299,088,209,581,174,726,022,895,
773,284,600,453,099,158,731,640,911,397,071,735,375,213,367,104,577,196,724,
000,382,264,792,496,427,016,331,249,172,227,882,361,781,074,924,914,394,749,
478,831,124,162,204,396,383,747,402,491,938,805,880,181,038,554,812,935,178,
855,745,584,093,157,630,822,779,614,365,745,737,392,552,356,663,199,849,657,
384,178,334,195,418,781,418,796,080,777,558,343,356,926,389,442,158,162,097,
972,527,696,256,693,505,003,281,900,999,836,576,106,248,887,956,256,405,775,
382,060,498,287,026,919,493,426,744,978,239,022,393,203,238,110,275,407,595,
632,073,526,370,955,524,045,581,008,881,989,979,645,367,411,882,829,517,699,
575,991,378,704,662,370,966,538,180,588,107,715,503,836,959,838,476,099,765,
993,530,441,829,895,061,137,889,109,564,381,298,651,699,639,298,298,681,696,
050,440,140,909,981,951,212,676,028,440,297,114,659,166,450,044,313,667,637,
267,018,034,795,093,549,127,014,956,489,091,602,070,557,524,674,290,521,400,
722,652,061,139,106,319,714,690,982,513,768,813,131,990,584,200,664,447,613,
071,577,866,319,714,115,574,005,568,448,268,813,941,046,479,069,430,753,731,
729,939,390,226,036,299,726,235,001,694,516,086,126,588,830,142,133,339,513,
129,503,954,560,067,688,077,795,069,281,676,260,413,149,246,765,137,039,746,
240,309,175,381,328,353,507,137,978,259,975,936,038,116,723,131,320,440,175,
014,553,395,564,063,718,064,718,548,591,010,767,739,151,190,598,310,607,376,
740,974,886,912,910,050,262,578,191,321,365,445,959,365,988,440,474,345,390,
398,453,728,676,557,807,688,272,786,526,158,394,599,547,792,467,481,695,662,
053,202,608,573,120,011,902,507,830,375,649,868,608,594,102,566,120,347,771,
081,998,649,481,804,526,341,549,216,752,601,849,229,877,353,017,370,967,426,
280,495,960,609,159,203,211,527,383,533,600,418,777,681,062,091,677,232,745,
355,267,665,958,177,052,445,176,521,626,466,613,332,341,096,048,045,180,758,
142,366,515,228,042,822,543,710,967,313,438,918,704,484,939,502,520,789,056,
064,655,264,772,506,196,579,328,093,125,625,831,520,381,325,352,888,072,970,
429,753,413,350,821,697,250,728,314,139,319,445,724,195,835,582,705,811,756,
245,657,391,323,192,520,802,434,110,130,752,973,464,682,265,201,956,709,953,
774,785,998,274,928,452,926,380,819,440,599,268,375,478,519,264,112,990,024,
714,216,713,551,228,188,725,138,345,135,384,608,411,792,729,823,424,313,087,
131,177,185,628,664,075,722,822,116,210,151,834,902,370,748,425,353,017,981,
668,984,411,394,956,645,692,383,849,978,693,498,995,467,123,968,618,613,502,
778,827,282,866,418,507,700,220,826,393,473,355,363,992,024,263,633,420,480,
064,287,581,589,397,229,424,427,599,268,662,336,933,922,132,830,184,577,271,
585,480,144,717,649,745,894,736,413,811,005,489,325,663,964,539,706,066,116,
932,807,104,162,113,946,552,299,095,677,917,641,268,317,840,521,821,125,257,
367,513,244,011,205,657,917,226,790,322,564,405,671,078,621,075,419,391,675,
514,307,983,865,188,869,655,319,163,879,438,127,335,147,680,757,283,450,386,
029,445,119,425,536,046,267,375,592,407,555,690,617,881,958,402,351,315,236,
238,589,925,417,771,483,426,912,733,716,449,553,957,112,588,747,876,656,923,
342,882,684,802,144,490,516,273,245,213,830,269,561,156,171,534,964,102,692,
610,080,933,398,734,736,498,176,031,797,182,033,195,967,897,826,070,100,922,
954,525,549,155,245,701,492,226,700,563,358,075,706,592,903,228,837,656,789,
329,783,287,036,585,553,158,896,005,860,355,694,679,986,375,807,652,500,360,
098,073,667,838,693,504,973,441,774,801,647,555,863,242,443,185,536,088,612,
157,997,927,890,204,302,488,785,029,833,200,337,352,622,681,025,806,571,376,
094,481,452,639,756,965,387,094,231,853,068,953,095,627,607,834,438,910,557,
821,203,799,435,113,272,042,433,616,676,396,023,181,077,870,409,249,666,923,
211,913,389,625,080,748,637,035,936,255,955,627,238,774,551,877,036,883,104,
741,124,910,029,797,846,206,587,092,028,194,878,274,401,607,146,049,105,040,
383,000,086,726,737,274,982,799,678,737,674,327,036,347,167,611,058,059,624,
942,630,585,171,782,731,560,003,821,124,586,866,319,844,792,265,939,853,721,
693,395,081,661,761,700,416,546,757,654,864,863,152,600,508,685,536,083,609,
469,870,157,463,793,086,374,739,004,084,159,637,845,661,629,126,282,694,283,
402,756,479,490,844,962,593,432,483,618,579,061,989,931,323,963,871,134,519,
317,001,653,338,567,785,369,738,490,013,245,617,367,066,188,639,024,441,441,
201,174,856,931,642,043,991,632,338,435,509,490,688,609,650,059,563,491,117,
348,567,148,790,293,412,831,328,273,097,421,888,712,373,596,542,598,286,764,
228,974,287,293,985,470,382,144,215,699,233,626,994,044,358,825,193,283,582,
393,696,260,820,076,050,751,107,520,625,535,654,102,435,027,737,044,115,979,
100,345,497,419,199,868,602,975,374,120,644,046,777,105,293,607,054,679,116,
786,181,585,483,951,585,225,643,681,827,486,227,464,888,277,270,405,212,937,
582,995,075,899,293,178,798,028,847,899,637,496,851,859,383,251,797,737,620,
189,909,380,459,302,433,661,446,885,270,228,780,570,910,532,959,594,565,104,
241,155,122,719,984,711,992,668,568,183,735,019,437,475,741,242,888,966,665,
782,604,046,975,495,336,143,210,916,375,370,952,546,867,098,147,541,305,242,
358,371,314,733,953,961,439,006,892,101,577,172,361,869,205,145,369,809,222,
047,986,483,552,318,018,144,677,639,360,299,642,753,663,375,812,391,709,360,
675,497,551,319,598,081,505,873,344,602,411,213,172,178,781,283,232,124,272,
238,955,055,018,722,457,294,747,211,207,031,451,248,819,314,700,286,701,237,
482,053,217,228,959,766,253,905,192,266,298,359,425,596,250,522,166,467,876,
337,509,379,776,672,175,768,610,876,514,347,665,273,368,124,686,410,699,493,
060,453,841,526,385,008,182,955,616,478,104,694,366,541,366,060,475,295,863,
108,339,163,597,904,076,501,279,747,964,433,697,813,769,413,839,855,375,272,
710,335,308,848,805,813,711,313,046,534,907,323,946,565,658,122,163,882,060,
781,504,801,562,947,780,163,688,984,719,759,234,585,433,611,608,472,949,057,
884,845,983,512,186,665,039,232,530,981,998,653,156,264,466,336,098,421,658,
152,384,602,735,449,276,113,283,263,950,867,096,994,818,712,241,326,752,261,
637,333,969,855,091,818,696,648,958,715,938,578,753,032,522,711,207,287,450,
523,843,720,213,631,096,089,176,703,939,238,764,286,758,997,281,810,642,509,
940,208,775,427,389,316,862,940,805,284,578,158,897,765,706,995,500,343,011,
779,261,690,535,328,404,327,553,326,605,960,920,327,935,896,197,675,185,445,
926,617,914,925,229,351,988,563,125,588,007,429,135,860,565,499,143,907,167,
921,316,770,254,381,322,733,538,653,583,161,960,360,153,002,927,010,307,387,
315,220,619,102,209,625,315,566,977,077,439,771,285,822,792,159,180,078,186,
071,390,373,384,860,689,842,339,858,625,297,601,300,169,758,924,870,134,040,
437,665,772,404,705,904,530,181,035,707,880,769,294,138,143,081,696,941,885,
302,606,162,753,287,187,079,410,934,833,687,874,824,622,370,390,788,142,753,
831,082,731,608,496,235,120,525,994,071,939,954,794,994,334,720,293,809,220,
818,172,739,826,426,076,361,509,581,079,312,664,773,666,740,685,817,747,752,
133,706,893,102,377,316,438,312,841,119,737,968,686,314,331,111,523,451,419,
558,538,958,320,012,249,456,073,327,619,402,637,814,768,758,970,881,998,722,
659,877,142,901,161,916,802,768,011,847,950,262,834,609,322,582,066,175,618,
015,301,952,122,234,498,018,513,154,768,249,028,203,830,545,580,076,460,455,
949,875,716,530,057,966,615,574,085,892,983,210,662,403,928,199,705,299,281,
896,650,542,192,517,035,804,212,106,486,895,666,230,064,202,822,317,088,845,
609,012,329,854,050,491,713,296,756,681,795,235,469,416,064,954,606,425,230,
574,435,013,410,518,828,251,430,215,529,959,758,686,487,098,801,155,749,698,
292,447,926,728,351,813,594,868,599,596,896,932,771,122,310,083,028,228,497,
987,253,381,929,206,614,215,404,192,778,768,627,605,899,007,368,595,746,466,
228,662,128,114,435,543,452,975,316,425,603,323,782,169,504,289,231,691,947,
513,219,094,770,121,922,570,588,701,423,116,369,715,112,372,510,556,466,606,
355,172,502,314,843,266,964,542,737,669,882,933,858,171,398,005,190,390,941,
158,153,875,936,391,171,068,437,841,236,655,352,504,700,941,337,658,247,711,
162,097,458,395,397,959,077,954,356,691,757,564,410,362,664,663,696,067,263,
105,316,755,192,313,374,572,164,415,793,326,611,839,618,658,335,620,454,986,
653,828,581,691,282,051,966,861,710,580,015,625,204,259,914,685,402,941,521,
128,404,886,978,695,240,910,739,406,350,788,058,270,025,345,929,644,732,798,
568,376,031,792,853,701,493,290,776,553,118,461,303,539,150,892,242,959,187,
789,968,387,536,525,647,138,988,608,177,006,623,296,450,845,758,312,630,634,
307,207,448,829,030,278,479,457,769,533,330,324,898,339,189,621,469,876,289,
763,582,483,588,585,722,118,878,062,940,633,525,377,485,664,661,879,157,197,
205,222,974,638,180,488,989,978,441,590,780,517,730,597,117,912,120,476,919,
175,669,229,597,495,476,291,516,771,151,942,821,166,190,579,364,764,037,517,
633,710,000,230,188,317,472,281,770,396,216,687,183,692,874,630,531,360,648,
733,617,571,789,268,105,535,474,988,433,547,652,739,702,822,805,058,220,374,
193,714,063,823,668,539,328,819,610,273,621,153,011,373,719,350,871,902,330,
101,705,761,853,291,532,660,545,764,336,540,801,143,277,190,626,565,951,574,
410,791,178,608,295,755,575,614,088,938,075,493,832,991,628,862,014,550,813,
078,335,914,686,320,370,342,247,649,440,328,215,823,412,163,350,847,560,013,
883,963,810,684,021,346,362,045,084,291,603,596,092,940,507,527,176,865,501,
501,877,246,363,848,386,814,711,279,726,288,867,295,364,784,476,713,400,113,
824,792,427,583,035,999,234,145,300,922,101,577,445,709,663,115,090,784,267,
884,233,076,889,903,637,153,658,049,012,873,452,229,682,590,954,886,158,252,
766,377,482,275,146,871,182,683,361,071,281,814,314,411,178,869,158,602,402,
525,087,771,751,746,174,352,678,348,278,020,384,862,509,070,065,703,204,134,
239,039,167,156,884,272,752,616,672,454,627,413,528,617,253,208,156,126,606,
892,680,541,750,555,347,867,845,273,094,586,967,994,530,818,694,523,760,823,
378,256,882,458,536,634,982,704,072,609,238,304,637,876,794,391,312,506,315,
447,787,075,876,392,594,732,986,118,223,721,418,952,217,777,003,886,101,679,
889,002,714,959,384,096,822,707,605,090,689,846,104,725,571,255,736,882,287,
973,908,138,913,538,997,942,858,756,437,689,867,650,739,077,228,665,283,271,
913,740,846,298,840,146,385,691,501,779,967,393,184,425,196,498,943,431,923,
535,895,742,784,545,499,207,612,602,540,143,251,118,597,310,033,980,166,701,
538,419,004,738,531,680,246,459,739,583,436,550,357,491,735,741,152,327,419,
067,796,274,336,061,447,273,739,046,139,042,028,756,413,368,018,437,057,152,
906,033,377,567,647,345,685,496,585,523,361,421,734,478,473,844,746,787,837,
400,232,876,737,256,818,818,783,485,775,391,262,631,143,789,658,823,105,756,
990,020,966,599,936,178,738,737,069,879,565,532,662,587,966,752,245,681,703,
640,174,991,615,893,793,130,295,336,451,864,485,640,897,428,503,751,283,861,
896,586,340,700,249,025,241,179,174,765,067,423,396,536,136,712,813,679,075,
291,998,163,323,095,671,001,868,267,298,599,148,815,419,600,651,289,417,113,
171,029,941,715,679,109,431,228,302,588,397,034,666,266,165,592,764,873,717,
060,072,226,294,043,519,245,303,056,280,183,474,219,596,117,465,287,223,614,
117,305,670,779,858,443,322,067,623,920,745,834,280,636,852,867,525,243,064,
570,759,575,842,812,339,642,463,021,267,548,244,232,457,192,015,701,980,702,
045,939,714,343,139,928,225,970,215,090,312,076,670,975,091,339,336,726,297,
302,036,217,269,926,701,485,573,110,777,735,009,733,421,623,247,064,067,707,
488,185,099,360,413,861,387,439,247,295,193,809,634,535,126,039,731,152,859,
427,010,719,032,174,421,032,738,641,993,844,082,069,769,683,585,526,208,278,
031,269,027,613,034,829,281,837,875,913,993,655,536,816,167,847,715,024,735,
256,926,511,697,490,932,086,750,503,782,331,639,587,032,166,144,393,019,454,
128,225,146,721,909,853,207,065,397,276,429,656,304,316,768,409,624,082,035,
152,024,745,672,795,363,831,133,616,605,252,201,471,325,022,323,339,664,160,
410,938,836,408,364,828,735,622,691,602,701,174,190,175,042,174,560,465,966,
216,727,147,259,226,474,697,703,161,135,107,376,532,166,587,549,342,548,580,
843,507,407,028,049,201,205,904,563,517,113,498,255,673,594,369,494,301,422,
757,006,982,174,531,064,273,513,810,503,578,233,578,547,246,267,093,923,404,
589,794,278,644,496,471,210,978,436,206,522,243,445,936,636,025,435,382,761,
869,105,752,871,580,730,564,276,139,322,187,637,466,788,454,642,115,443,629,
378,461,790,224,551,059,334,518,398,190,340,776,636,943,208,227,156,438,115,
406,698,134,092,704,591,319,870,512,299,262,644,500,926,648,790,335,459,111,
037,518,436,819,106,029,817,186,100,749,582,481,382,559,529,099,120,773,444,
822,750,038,284,001,918,790,916,275,343,765,556,226,784,974,309,865,369,273,
317,962,435,875,235,210,629,914,614,414,622,245,608,552,386,461,890,472,619,
757,392,182,935,695,060,051,662,027,653,699,255,115,697,569,163,886,195,806,
927,925,236,550,420,083,125,644,513,399,198,359,571,450,146,564,508,385,876,
957,919,792,665,666,209,762,933,722,814,701,318,849,167,573,244,532,814,233,
870,197,538,663,326,013,037,769,525,002,703,653,946,700,564,120,090,476,578,
338,733,240,692,449,488,473,673,397,717,271,985,760,196,505,594,616,919,485,
269,369,645,775,782,879,550,926,202,752,108,128,214,528,789,431,008,050,434,
175,001,275,772,119,517,221,736,933,023,891,503,389,439,789,399,613,056,046,
208,052,750,280,806,064,910,059,004,387,391,855,274,877,164,457,980,877,541,
059,143,430,875,894,450,034,526,835,515,691,170,404,908,694,010,259,704,095,
724,832,981,968,608,250,304,303,720,614,020,144,892,011,509,584,467,154,101,
606,791,703,034,848,151,310,301,655,168,939,093,838,961,882,896,322,759,872,
161,494,103,516,291,774,305,175,546,665,491,579,362,555,764,917,642,019,152,
027,438,817,680,228,989,551,630,656,383,547,188,822,903,665,604,508,912,430,
192,483,641,536,102,181,327,089,888,311,211,473,021,790,153,762,376,690,389,
917,849,068,547,233,878,689,828,715,262,263,620,515,858,007,042,366,437,169,
022,356,311,058,071,255,329,334,392,695,936,584,392,672,024,481,246,151,281,
803,899,117,974,075,521,280,435,680,639,455,621,168,475,515,149,675,132,888,
218,921,748,888,936,846,756,658,504,516,182,152,868,765,926,506,658,824,169,
854,236,262,504,735,973,273,439,134,668,075,125,311,285,702,028,132,633,477,
873,279,024,816,478,929,168,534,929,628,322,626,638,033,300,144,209,002,368,
961,074,535,547,498,619,481,982,201,211,251,187,212,658,640,310,190,985,329,
843,097,428,570,122,830,117,193,073,176,666,325,360,923,263,385,740,968,675,
328,388,514,673,678,326,967,751,157,913,866,424,010,885,132,022,281,556,623,
888,972,849,237,970,980,810,637,981,862,226,394,315,183,923,298,451,218,312,
600,469,587,668,456,136,937,593,315,432,921,240,375,895,577,226,561,231,367,
764,525,503,828,826,309,975,059,040,049,551,861,401,782,301,948,290,070,751,
574,376,250,294,180,438,421,046,321,819,500,006,414,513,235,760,356,245,200,
137,578,515,261,876,930,157,426,718,008,749,807,733,506,001,071,907,931,291,
603,176,157,926,602,592,949,119,890,894,994,420,449,578,087,774,311,753,414,
390,045,054,015,011,961,796,047,387,278,105,300,747,050,123,827,867,364,237,
196,899,087,642,511,990,967,257,295,814,591,600,289,540,933,812,604,838,172,
446,200,023,299,637,066,103,567,544,543,480,741,748,318,196,685,380,381,591,
932,399,657,294,940,516,934,266,261,065,574,448,527,694,536,665,533,793,481,
440,984,824,349,378,231,912,219,730,819,090,071,423,949,503,139,533,032,851,
168,651,972,886,421,219,345,195,528,629,061,985,101,142,103,978,031,630,646,
077,728,327,849,107,956,574,721,971,367,501,672,589,004,585,624,183,293,314,
561,637,721,521,007,308,634,722,433,225,712,751,221,132,292,791,898,209,416,
672,237,508,058,901,426,250,034,160,219,184,734,710,340,498,969,495,657,097,
218,476,954,848,651,338,927,983,786,841,197,849,455,296,138,967,186,932,066,
789,649,384,349,043,785,069,900,693,530,234,468,681,811,875,002,214,110,684,
183,910,508,001,687,575,457,403,172,020,922,392,674,285,181,059,325,034,185,
770,917,044,142,332,163,857,531,465,381,558,311,114,612,939,595,292,199,364,
168,813,728,356,038,426,342,619,280,509,921,108,713,974,241,033,261,151,474,
563,725,464,836,533,122,002,071,011,304,618,367,833,165,610,748,789,310,810,
601,910,302,589,868,279,869,220,442,979,459,421,828,621,524,226,567,010,251,
179,022,915,365,648,450,118,504,650,010,872,081,628,867,519,281,430,050,313,
134,041,263,115,347,464,330,517,836,169,472,318,639,169,220,408,148,466,068,
698,987,977,832,723,805,576,794,380,073,034,410,496,360,633,365,001,580,001,
150,832,461,998,867,162,584,942,613,210,529,409,735,997,149,274,603,790,591,
743,926,200,222,718,994,855,221,107,822,224,988,881,984,999,810,064,394,078,
258,361,645,977,370,770,506,485,571,562,326,932,745,611,455,247,893,110,481,
452,698,955,618,416,361,225,986,911,899,624,103,444,571,295,632,742,277,167,
701,028,417,764,715,508,299,217,159,867,761,977,472,435,196,762,261,481,640,
607,538,910,647,140,847,898,616,141,981,432,798,972,304,546,922,847,084,573,
562,481,607,697,985,193,747,493,349,335,949,939,850,528,569,480,523,866,264,
232,030,327,737,423,847,268,126,652,862,098,317,148,304,649,036,303,641,711,
917,428,921,716,740,638,453,417,595,084,223,006,509,156,978,373,710,971,737,
120,164,758,714,798,619,367,716,091,472,842,077,219,375,377,680,645,150,746,
594,772,101,584,087,393,496,136,770,606,579,448,519,907,276,399,526,100,391,
343,994,789,855,842,638,729,824,039,982,403,026,182,370,053,738,982,916,242,
822,150,546,787,019,640,746,221,315,933,211,009,635,275,483,656,231,337,946,
437,111,287,737,257,425,340,301,670,488,150,458,655,355,614,167,800,553,075,
377,783,988,031,454,712,054,986,393,812,836,968,046,731,823,070,514,581,716,
773,184,795,330,460,957,343,551,981,624,145,531,777,623,644,414,192,824,976,
118,597,574,345,529,307,309,146,681,761,955,066,057,654,877,064,165,553,275,
362,060,334,775,627,015,093,547,602,350,912,867,667,103,355,423,477,025,455,
123,472,105,921,702,179,346,872,576,878,792,091,298,070,847,307,929,769,843,
216,034,566,541,877,842,071,032,512,204,214,239,663,488,204,933,042,202,449,
263,408,980,875,667,829,416,442,169,080,977,993,452,205,982,260,276,132,420,
308,460,242,876,427,558,127,764,220,295,803,261,542,016,398,203,664,543,665,
380,540,133,044,850,424,690,642,666,859,055,782,768,136,744,738,793,795,338,
551,696,731,552,694,253,971,112,059,149,208,425,366,838,082,469,886,176,225,
353,552,373,875,485,165,278,398,635,915,154,424,278,709,726,704,863,675,865,
197,793,574,458,326,391,887,607,164,148,096,907,783,957,547,721,801,210,048,
053,215,060,993,771,302,526,724,302,259,571,326,191,955,509,955,640,858,780,
595,232,111,315,386,750,331,067,773,350,867,878,050,836,421,747,997,817,709,
664,730,990,397,013,409,620,642,147,575,549,866,742,585,215,500,588,645,257,
235,705,448,548,633,251,601,443,569,564,647,105,143,574,058,642,137,920,528,
308,225,936,307,274,279,674,194,434,759,833,876,532,801,354,704,083,426,845,
551,610,940,713,973,686,983,758,179,919,386,531,225,791,327,403,082,309,389,
932,334,585,876,663,420,664,522,394,678,239,446,919,186,764,597,253,729,555,
404,491,440,989,015,096,036,783,758,577,755,796,014,788,813,033,681,547,105,
588,789,127,299,721,083,415,001,831,562,441,093,701,896,557,640,622,050,462,
373,188,728,813,763,398,279,417,543,879,147,083,693,852,904,346,441,691,553,
578,747,123,033,061,399,714,838,509,769,160,323,523,835,787,162,425,774,471,
689,515,033,085,065,690,424,895,532,572,679,284,233,933,841,147,659,533,606,
735,799,076,530,234,677,008,419,608,653,296,097,907,299,770,330,468,540,408,
091,650,096,777,129,864,694,316,062,301,164,450,785,926,915,408,770,459,247,
856,334,496,415,421,749,572,918,271,569,474,963,161,921,343,948,627,578,125,
256,353,351,382,969,340,117,913,320,631,760,383,617,997,788,056,532,124,954,
940,795,728,104,766,575,351,346,024,774,277,289,976,347,099,580,957,433,285,
516,893,784,614,121,913,548,365,686,559,150,196,659,642,924,027,904,446,817,
725,951,171,908,249,724,419,119,845,070,580,652,829,988,275,946,010,665,060,
192,931,363,328,073,534,428,788,905,615,991,364,051,016,894,693,467,120,403,
510,568,132,251,216,014,671,078,387,823,615,226,266,039,589,351,230,500,228,
033,968,597,177,474,195,737,853,979,853,538,251,462,891,607,659,473,918,044,
936,225,194,196,057,712,074,654,124,317,677,523,494,912,047,167,153,225,267,
538,946,155,882,760,808,378,590,049,211,526,482,786,452,871,881,978,100,294,
113,726,700,392,619,603,997,176,704,212,017,333,276,878,520,679,800,332,469,
672,501,315,388,455,654,049,744,736,870,830,886,417,407,735,685,283,549,023,
631,999,464,528,171,962,464,193,778,137,178,696,132,219,710,203,263,109,924,
369,797,671,667,328,543,979,888,085,160,409,958,455,789,506,559,061,994,031,
864,009,930,459,984,749,843,540,921,298,002,639,215,154,019,672,910,787,714,
114,895,704,689,740,810,615,777,255,363,676,207,512,616,971,127,487,102,363,
597,281,219,973,767,071,918,196,288,338,576,690,336,313,349,002,800,873,734,
911,592,375,661,984,622,091,279,144,650,495,753,894,860,788,378,977,892,942,
161,110,921,003,867,763,763,108,684,798,892,287,943,224,540,806,682,990,845,
712,603,440,614,342,943,407,528,472,939,918,287,740,222,860,154,252,821,486,
877,645,893,671,698,534,830,414,444,663,456,403,436,091,661,690,568,513,374,
452,549,212,722,537,336,245,457,930,890,004,735,099,443,348,893,445,901,518,
657,064,924,044,885,831,267,542,999,040,719,197,967,281,204,228,775,187,011,
287,207,821,331,813,879,582,474,114,338,303,941,966,046,774,688,436,058,258,
384,260,939,768,426,570,095,464,297,614,022,998,218,338,531,786,642,194,761,
659,280,253,873,707,085,617,380,005,569,132,576,815,725,554,233,197,340,963,
668,960,135,662,253,821,719,028,863,288,179,887,715,520,421,806,016,427,667,
351,678,010,506,605,768,643,032,055,655,648,013,917,993,839,693,950,665,832,
607,354,183,361,615,776,806,200,135,289,316,734,592,995,163,119,856,757,625,
765,136,599,366,851,593,643,576,477,803,601,715,691,425,312,006,336,536,501,
505,662,903,093,536,258,653,703,083,332,957,232,938,976,279,777,814,700,521,
402,461,663,935,733,401,337,410,297,007,382,042,928,542,223,747,990,458,974,
592,774,590,371,127,047,683,558,897,243,330,375,338,103,994,737,890,578,745,
766,026,836,220,599,094,377,976,609,236,542,745,232,653,433,532,155,464,776,
944,030,487,330,404,299,897,552,855,656,212,714,796,115,685,789,401,981,540,
386,222,823,675,497,355,230,437,546,552,439,574,846,837,407,478,087,995,685,
610,312,038,720,862,329,667,022,542,399,837,651,208,274,861,275,939,740,496,
566,850,064,018,414,158,139,705,359,743,745,241,396,397,795,777,213,208,232,
388,904,599,642,633,571,187,516,362,387,976,062,565,408,761,018,693,225,805,
917,244,024,008,376,874,906,276,681,949,334,822,072,162,530,826,321,140,347,
483,921,338,246,968,674,695,550,037,588,048,962,591,693,770,361,600,154,421,
807,439,933,571,917,230,487,823,742,227,505,108,781,087,122,440,113,693,887,
045,157,314,404,135,381,467,323,150,386,046,182,343,554,685,541,126,173,948,
049,584,686,338,268,412,767,828,359,909,224,630,963,602,297,549,836,076,807,
216,551,130,880,704,158,266,046,784,890,056,945,605,857,730,367,806,477,613,
332,005,018,927,995,326,553,708,239,869,275,938,364,351,511,142,551,072,419,
627,213,192,988,409,989,243,151,830,031,886,426,141,490,903,888,902,838,847,
119,500,393,632,793,523,195,161,220,639,325,630,350,707,764,949,556,922,694,
832,909,799,465,823,387,684,326,092,971,781,479,687,143,167,139,514,954,051,
520,030,834,423,722,121,119,898,660,161,483,127,453,217,894,506,716,890,265,
587,264,251,363,831,010,406,158,335,902,153,863,672,074,261,231,690,299,312,
433,981,883,302,722,228,642,527,084,039,374,901,634,692,203,163,885,218,693,
147,760,129,884,073,386,431,223,109,277,225,082,521,735,417,815,264,408,165,
428,969,260,637,759,003,307,031,409,042,749,638,882,434,357,592,233,936,325,
719,658,843,324,717,099,886,516,028,885,941,025,022,518,723,900,258,411,742,
816,875,282,868,253,384,348,514,791,263,225,935,240,227,198,502,716,896,615,
233,694,492,309,659,350,657,710,344,935,268,959,263,347,651,931,184,052,619,
956,718,690,983,967,471,569,372,282,711,061,198,217,852,223,713,047,281,588,
497,520,191,505,498,976,721,790,716,223,269,235,026,853,318,178,580,678,089,
513,892,711,499,169,788,592,573,460,118,241,860,175,241,693,199,028,923,116,
850,329,717,173,874,611,619,377,718,429,723,078,237,887,489,274,612,010,550,
052,640,919,483,657,180,712,991,612,731,686,788,770,955,818,634,094,864,080,
736,273,455,764,155,443,867,132,672,162,365,884,438,084,588,415,012,909,700,
080,375,637,091,733,229,663,093,536,636,081,563,490,334,726,227,684,955,448,
792,378,773,169,446,624,060,219,943,798,724,055,342,073,657,588,542,339,047,
955,925,297,778,354,552,068,943,108,587,926,165,035,928,863,430,440,519,085,
338,478,205,046,200,134,815,251,091,812,848,671,619,895,589,672,045,462,513,
732,881,648,878,510,044,649,595,026,888,513,463,874,898,530,089,073,124,206,
750,643,045,897,645,614,102,684,919,803,760,309,407,903,719,549,265,066,835,
517,282,830,962,709,295,741,145,066,214,910,333,246,496,448,211,892,844,690,
306,960,868,247,417,222,438,637,887,966,868,603,495,172,504,884,139,968,734,
132,911,027,303,852,282,324,548,256,527,893,098,972,603,027,138,247,408,652,
465,007,695,795,611,209,940,591,662,285,179,417,788,377,395,528,427,352,824,
922,075,449,015,053,016,206,966,671,178,228,159,654,318,587,516,249,558,508,
333,221,735,163,661,183,002,353,830,289,102,413,859,244,740,088,790,688,481,
356,618,160,561,840,413,924,755,325,244,361,421,161,657,982,039,198,194,110,
627,664,468,825,833,582,272,258,048,593,624,102,988,908,538,693,633,008,116,
163,997,721,691,217,803,759,738,002,259,494,709,590,519,403,284,452,825,199,
795,365,805,286,780,382,616,315,860,669,424,057,082,328,600,795,349,131,158,
693,192,947,637,477,932,881,741,966,595,947,810,494,375,085,736,218,427,492,
005,788,764,028,242,875,668,695,888,544,138,922,988,150,419,892,083,865,159,
882,725,402,816,322,595,104,402,916,307,043,056,684,606,529,351,447,572,585,
951,540,361,848,565,558,066,824,008,025,741,687,848,583,139,955,497,884,717,
472,366,289,001,495,267,291,795,522,701,227,660,104,632,527,934,320,684,420,
670,904,111,755,656,772,238,518,902,529,962,931,935,968,919,097,954,552,493,
974,711,311,406,411,931,499,203,674,968,916,805,517,904,876,925,163,155,760,
224,836,804,512,807,960,343,060,385,307,982,541,229,657,726,235,916,683,575,
642,195,529,420,717,262,150,211,001,976,439,542,891,049,551,959,915,425,177,
113,550,775,757,707,967,137,041,607,591,231,990,889,352,734,426,871,117,173,
843,902,915,731,253,821,566,787,822,270,470,656,792,627,237,682,620,672,073,
744,145,186,442,753,160,284,706,186,109,140,867,357,295,678,154,517,073,122,
353,911,766,713,980,007,214,766,934,895,832,950,203,207,593,229,026,074,949,
177,635,385,140,166,992,195,277,654,812,597,697,686,058,480,006,011,365,720,
703,165,918,704,028,883,501,228,989,269,908,214,558,594,762,538,097,042,227,
563,514,967,234,590,137,804,388,108,548,365,137,257,712,028,633,962,841,136,
722,818,643,993,063,795,338,727,927,788,284,404,614,074,681,786,785,034,580,
714,535,435,399,843,194,062,515,744,084,021,544,563,567,879,514,770,453,596,
449,107,124,032,266,962,603,625,695,444,764,164,228,937,097,298,412,435,878,
262,720,926,922,454,838,318,762,774,876,781,711,084,489,796,345,108,487,842,
386,035,010,537,010,787,276,780,528,024,519,739,764,261,306,647,455,417,566,
377,479,457,126,455,059,921,753,044,226,259,889,487,808,807,636,234,667,251,
383,781,049,601,423,049,426,394,076,661,069,994,266,601,134,458,157,949,924,
103,020,837,029,078,381,856,937,835,915,596,711,163,417,510,099,833,399,048,
057,536,999,316,936,484,664,706,341,609,816,262,350,052,791,806,680,866,430,
869,523,158,672,081,644,136,654,564,519,779,687,200,382,171,571,086,049,844,
467,736,328,854,351,517,169,741,079,426,109,965,697,578,241,307,414,163,225,
586,417,480,527,796,468,442,226,376,558,038,899,466,670,823,718,551,114,924,
191,866,406,405,426,806,312,698,427,622,040,278,405,628,016,230,819,703,405,
982,137,584,955,389,454,339,937,133,743,853,088,345,276,745,464,259,811,314,
132,949,823,819,624,881,841,739,449,415,361,500,952,326,876,940,882,862,036,
984,889,003,547,208,182,099,177,092,557,129,431,204,639,238,085,443,800,543,
599,489,109,267,985,644,517,977,222,601,764,236,009,858,746,613,651,889,536,
666,680,161,629,806,446,522,263,691,618,576,755,057,437,743,530,051,037,211,
098,851,299,444,343,947,670,840,685,143,127,606,064,580,341,761,279,111,735,
394,691,890,245,135,885,884,553,559,854,590,374,740,464,176,051,325,834,157,
769,376,083,828,239,519,170,430,188,137,307,103,836,459,864,267,661,989,885,
609,085,458,596,934,832,321,091,092,989,002,854,000,853,482,338,618,477,218,
806,069,169,908,803,995,391,417,497,118,826,607,110,387,460,758,040,845,825,
861,633,926,985,983,260,402,410,503,221,292,636,719,530,536,405,949,817,888,
464,598,410,377,211,822,904,951,068,060,986,191,335,642,908,455,697,326,646,
517,958,656,813,075,654,355,317,680,195,834,803,810,500,720,699,404,628,342,
095,405,709,018,705,679,975,212,328,860,107,238,837,142,315,625,831,306,434,
218,607,403,712,337,675,487,691,975,981,763,586,743,793,230,448,261,196,242,
263,300,940,338,672,831,019,347,824,074,276,657,147,653,748,447,578,647,154,
990,663,538,404,737,611,071,937,518,462,165,240,846,939,825,495,042,866,870,
491,806,487,266,657,689,502,847,373,007,178,246,846,090,307,331,518,360,164,
270,658,157,487,398,443,844,325,016,295,753,603,103,020,524,137,378,235,520,
518,009,970,142,064,843,299,937,249,214,993,175,201,970,425,668,261,673,077,
148,937,108,023,141,939,078,749,859,471,340,995,988,675,003,634,977,872,597,
463,394,771,929,314,523,676,182,939,749,729,418,802,011,335,769,205,690,639,
664,210,367,623,294,168,375,308,269,326,084,556,633,981,374,372,621,621,776,
534,145,794,683,797,480,732,681,263,396,002,399,375,285,366,260,382,222,562,
707,031,164,484,893,359,725,302,583,848,450,033,864,560,897,337,540,848,164,
004,906,090,835,043,401,494,113,998,837,112,991,429,919,941,933,337,155,098,
016,165,082,626,717,775,961,148,001,641,733,540,438,214,092,816,286,002,071,
289,332,335,757,671,662,955,929,897,219,943,223,478,417,244,284,381,462,468,
332,418,516,102,853,061,227,957,798,474,348,514,113,044,471,675,133,776,941,
799,769,822,427,933,411,241,796,145,311,753,024,263,896,096,415,548,292,705,
754,514,844,498,051,241,071,526,017,460,539,033,206,499,805,973,601,437,377,
712,052,381,333,423,280,496,807,281,597,731,098,808,694,767,424,773,278,323,
800,409,033,333,512,890,761,045,877,401,049,344,741,518,791,881,506,387,945,
645,247,982,302,993,679,704,991,822,702,620,748,159,262,827,301,930,727,539,
546,215,335,705,962,290,586,403,401,272,001,443,086,026,659,977,945,511,275,
927,039,583,001,075,576,524,978,211,897,224,090,466,364,040,120,428,217,997,
717,587,248,210,975,954,666,302,460,238,643,912,629,869,617,684,548,365,905,
884,056,643,917,101,992,288,538,753,117,056,941,640,721,415,647,407,558,599,
519,025,743,606,694,606,742,140,520,138,850,257,616,183,509,844,790,510,797,
329,561,815,335,378,380,857,248,968,040,826,203,728,760,076,152,278,644,457,
348,647,560,155,807,540,228,235,687,601,794,441,238,420,055,029,747,551,546,
266,115,539,695,772,748,932,032,287,899,451,368,322,840,568,741,405,161,000,
328,812,025,471,372,815,605,222,706,288,222,325,873,382,997,158,809,093,764,
465,827,370,261,408,182,286,811,609,567,680,595,151,397,553,410,339,528,897,
585,994,263,643,616,668,336,986,953,651,905,822,330,128,475,277,731,523,970,
504,243,242,024,108,744,208,379,620,661,370,088,244,249,393,002,741,314,370,
527,996,069,142,117,859,119,449,085,868,047,987,755,049,144,898,785,948,003,
487,181,318,350,307,475,050,020,539,319,042,864,855,464,989,882,158,281,338,
201,346,582,955,444,651,035,607,054,114,869,441,044,190,890,515,178,008,197,
205,247,439,802,456,673,799,249,984,968,620,865,697,077,750,984,544,260,580,
911,793,859,128,860,594,503,622,296,473,983,298,884,600,903,629,534,106,327,
875,172,768,283,667,586,410,430,773,857,913,019,794,259,029,884,088,809,536,
347,309,805,012,766,803,105,554,714,738,983,056,021,127,171,567,403,452,211,
275,210,702,494,598,321,147,384,613,222,432,187,712,367,264,445,889,993,828,
003,411,435,552,451,283,930,230,682,524,578,048,938,610,969,006,686,557,371,
139,934,203,769,542,579,671,156,052,609,015,718,872,412,193,326,034,314,854,
760,090,797,140,136,093,721,443,941,423,592,024,349,092,721,214,527,393,232,
230,053,963,559,614,707,726,285,673,266,360,997,132,119,092,690,242,568,297,
790,196,794,349,077,336,515,550,349,863,345,585,170,362,976,597,960,058,106,
767,101,113,037,006,879,262,557,276,382,464,724,223,360,036,835,824,938,294,
110,446,144,770,389,780,205,484,854,616,920,873,706,377,233,274,536,513,036,
051,833,202,269,331,387,524,905,225,878,804,321,443,984,161,653,130,107,054,
689,846,873,056,708,748,556,041,300,680,702,343,572,588,056,138,797,826,478,
196,856,475,109,325,809,136,759,077,710,632,434,214,330,881,207,162,516,795,
825,924,230,373,333,703,468,605,113,773,246,168,763,412,126,668,783,597,148,
837,704,063,035,899,669,679,333,875,918,437,760,274,017,277,141,809,908,482,
174,228,396,675,974,641,947,995,182,828,909,891,597,022,926,635,993,501,882,
737,600,372,985,503,316,032,850,424,848,312,112,861,063,471,664,094,548,787,
677,777,727,724,931,567,864,323,095,982,988,044,151,738,813,567,966,601,515,
880,875,589,864,639,489,903,825,783,826,101,076,265,707,086,998,030,916,271,
644,207,647,670,987,604,088,536,718,078,924,276,299,190,994,001,099,359,588,
474,347,591,199,535,770,684,668,880,434,962,976,159,037,202,676,710,915,126,
215,477,614,809,317,610,405,636,253,373,440,859,148,313,460,967,423,510,719,
554,357,944,855,297,303,558,049,005,226,943,188,791,031,403,592,656,076,253,
630,824,819,797,530,959,654,826,577,658,073,855,574,802,177,788,756,116,038,
274,747,687,229,381,151,368,110,750,800,413,021,439,147,338,739,785,164,309,
594,991,829,795,156,724,393,634,022,579,279,618,495,045,357,472,240,260,365,
106,148,416,620,116,196,358,970,826,003,082,602,128,629,505,171,084,958,477,
175,752,065,968,633,839,315,757,471,289,739,134,405,762,850,862,089,996,688,
264,330,220,052,454,900,072,159,790,958,695,395,980,818,953,090,667,454,863,
695,929,922,936,411,537,574,026,229,670,334,768,351,596,608,073,911,070,248,
740,544,264,220,912,950,119,414,531,800,168,449,122,130,973,974,213,198,407,
318,599,478,868,019,270,937,574,383,838,399,096,916,787,695,296,289,504,438,
950,262,289,089,952,284,286,216,779,246,104,000,783,585,327,422,692,819,735,
767,740,905,497,092,906,523,811,333,628,006,660,445,343,682,533,646,897,523,
979,439,776,957,150,683,680,859,552,101,644,638,824,354,020,881,645,121,685,
098,325,382,036,875,505,215,310,509,881,532,342,834,812,760,318,233,958,349,
757,765,841,326,950,273,256,338,148,381,752,565,779,291,157,748,789,228,665,
771,732,547,748,333,743,800,694,344,454,021,309,064,698,817,312,013,737,640,
533,347,182,681,142,592,421,444,439,316,944,959,838,715,131,926,613,718,653,
584,718,699,747,722,467,527,876,513,141,669,423,789,021,723,365,105,400,878,
472,249,039,225,603,436,639,654,264,242,021,701,198,327,031,787,257,646,142,
178,964,330,526,744,972,830,693,520,614,967,562,589,286,185,073,462,573,014,
398,266,145,004,860,665,661,061,255,217,721,583,214,708,726,195,130,472,180,
958,145,959,944,188,298,391,567,891,181,518,516,557,993,125,505,989,915,853,
509,624,423,329,818,329,486,532,217,233,085,231,117,821,868,563,794,090,423,
339,972,275,567,875,114,031,171,163,847,198,169,810,207,979,415,764,287,005,
932,971,819,879,420,596,897,418,757,514,907,848,033,473,469,453,301,225,908,
780,501,522,421,111,686,176,838,562,060,179,027,068,247,965,921,982,162,324,
109,810,306,378,711,570,043,308,356,855,520,909,007,481,880,791,307,395,112,
588,471,528,257,359,402,114,839,139,056,839,710,529,523,056,024,667,200,344,
686,756,461,078,029,735,156,744,984,761,346,711,662,386,878,055,527,699,273,
903,447,187,179,404,130,426,429,842,984,795,952,276,484,075,184,060,890,258,
248,816,465,662,721,284,775,520,183,672,942,121,607,245,579,860,668,288,651,
923,348,329,472,518,295,696,641,955,137,279,374,290,968,818,212,574,995,609,
688,010,299,021,261,612,004,621,452,529,061,197,838,410,463,272,441,235,937,
893,142,719,314,596,760,840,848,480,578,366,966,970,462,462,070,673,834,242,
867,390,224,973,557,116,495,281,430,295,732,177,270,548,682,992,376,863,542,
076,400,293,234,576,165,256,799,955,777,562,624,493,357,307,803,642,934,127,
327,441,282,143,118,769,932,998,220,826,982,870,202,000,290,012,567,803,934,
272,984,784,031,517,457,727,553,006,619,982,066,247,785,440,384,841,026,511,
628,342,801,852,186,643,409,277,387,385,589,490,092,186,607,470,787,357,149,
247,539,312,218,817,197,290,898,098,873,634,999,172,033,141,473,780,711,159,
186,389,244,672,529,391,590,532,381,089,093,140,999,575,494,633,308,141,271,
735,021,180,406,007,459,370,675,781,695,044,740,550,067,565,239,633,779,989,
684,207,988,249,510,485,596,379,657,173,658,870,284,303,463,766,999,782,430,
158,757,689,712,186,668,732,391,962,746,354,753,594,343,821,816,692,982,269,
978,365,646,763,308,903,086,007,224,426,759,606,378,379,190,256,465,088,036,
849,060,813,694,381,105,965,450,226,220,668,886,136,291,249,203,793,977,235,
775,869,068,801,161,166,691,088,729,637,448,669,843,105,268,690,147,142,242,
554,611,337,865,555,431,311,117,751,206,808,713,126,499,079,873,166,892,453,
676,991,558,096,947,311,064,688,717,778,224,254,137,859,919,136,178,240,275,
643,006,341,114,658,235,911,357,549,017,805,601,523,221,986,910,606,409,387,
027,953,399,680,478,394,043,834,166,935,106,893,656,254,591,640,671,547,541,
440,078,376,861,978,227,786,587,275,782,871,415,704,542,806,592,998,813,487,
260,384,848,812,279,529,856,583,812,351,661,244,772,575,611,675,764,380,187,
925,202,717,127,962,707,644,320,359,713,483,846,303,593,288,220,664,285,003,
615,756,299,352,031,560,364,588,687,616,052,438,261,427,767,249,715,388,076,
469,262,234,002,515,565,924,301,245,067,106,491,453,001,420,741,101,396,952,
612,634,839,537,776,183,581,579,502,574,755,160,399,236,260,841,822,338,968,
882,346,194,954,838,695,740,654,109,362,374,342,101,926,861,505,598,242,504,
247,579,230,913,507,065,425,076,396,551,052,226,426,480,140,042,489,675,272,
411,194,600,886,022,743,628,358,504,948,049,912,508,396,622,726,441,141,945,
902,873,687,115,667,136,582,055,431,042,352,283,555,183,624,027,951,564,903,
180,481,028,164,241,534,619,542,728,822,888,760,274,684,428,154,124,702,786,
169,736,941,207,695,450,526,096,498,976,488,146,792,641,809,993,192,589,198,
969,796,643,209,491,213,314,845,401,837,465,230,948,519,560,426,308,868,599,
453,438,772,633,284,457,281,150,477,328,669,264,434,075,708,672,147,224,647,
639,827,498,988,667,349,671,316,981,249,885,737,091,977,280,201,013,396,785,
099,107,817,627,915,879,110,544,940,155,757,860,035,071,570,441,012,506,587,
259,296,697,894,565,483,040,624,916,472,003,723,904,775,546,797,363,201,087,
749,566,750,782,409,202,065,912,399,078,664,287,037,052,930,259,115,975,446,
950,575,253,826,849,030,767,606,189,840,997,779,359,149,765,988,356,602,097,
808,959,499,425,084,080,738,795,808,143,384,736,223,702,495,072,223,983,839,
235,417,221,330,324,493,077,890,369,913,365,957,501,126,495,907,361,246,356,
241,228,639,276,791,988,345,671,443,436,449,645,530,167,584,380,660,877,641,
721,974,334,556,817,495,904,486,405,840,744,165,224,899,041,024,428,686,556,
961,136,623,739,746,021,606,825,379,523,155,724,503,696,415,415,543,890,740,
217,712,663,555,030,121,436,213,196,131,612,873,348,060,626,016,649,506,402,
235,064,922,686,934,880,762,087,983,247,415,419,640,057,992,270,623,502,450,
446,764,660,081,935,687,569,936,524,707,394,998,453,932,748,369,665,979,348,
991,791,694,939,714,209,827,444,972,346,079,830,228,995,921,587,339,211,998,
118,133,012,110,178,236,895,103,256,127,323,989,824,665,225,806,956,854,945,
514,919,153,299,370,216,552,461,816,886,382,231,404,726,288,616,283,100,450,
601,080,433,285,894,453,927,734,602,878,048,274,746,548,893,542,625,110,431,
943,200,159,943,471,059,374,075,776,034,448,271,474,248,178,980,197,220,777,
020,139,443,069,393,097,940,993,537,055,666,208,131,155,567,847,925,753,386,
827,581,412,176,596,674,308,369,361,690,315,443,015,542,905,476,058,718,999,
967,213,465,737,177,170,947,204,433,139,052,210,349,662,495,645,634,762,064,
244,010,894,151,731,841,112,836,252,710,422,460,512,914,446,692,480,227,847,
011,985,208,185,116,402,381,830,586,273,267,135,820,316,284,984,430,748,881,
640,672,137,808,660,065,072,238,905,836,684,661,242,268,401,896,445,902,866,
120,283,693,971,092,852,841,001,335,394,745,154,887,479,845,345,132,758,538,
221,861,119,538,397,436,049,192,335,222,827,975,492,546,273,535,366,950,882,
953,513,014,808,472,782,258,621,528,415,805,536,824,749,087,902,518,454,035,
582,051,645,782,119,362,188,381,037,619,659,038,220,832,462,299,881,964,165,
458,495,643,514,914,943,098,417,699,459,493,356,851,543,728,258,124,374,702,
805,369,336,436,940,467,614,580,975,071,015,335,088,932,333,454,219,792,608,
102,659,514,753,506,344,671,044,702,174,509,908,685,508,048,197,359,773,435,
204,834,828,196,819,091,569,593,998,692,139,283,405,193,519,061,142,317,868,
914,808,459,466,388,019,565,389,039,583,329,727,327,358,815,913,300,269,382,
057,367,222,104,097,907,307,526,892,708,537,620,368,112,312,790,454,569,322,
236,177,594,987,199,960,642,026,538,355,323,491,655,795,926,430,373,676,741,
545,926,408,626,553,831,459,845,752,169,221,621,227,465,501,842,666,201,946,
303,228,452,963,728,174,580,527,864,162,644,210,836,476,409,244,905,572,179,
768,275,979,728,346,050,157,193,676,658,145,922,746,362,313,343,955,231,664,
149,029,223,525,957,723,601,114,237,859,877,711,756,471,294,582,442,503,570,
449,666,916,694,443,753,041,079,591,895,280,306,544,616,598,167,338,384,093,
549,710,378,033,771,291,861,085,902,663,527,995,914,973,411,554,744,221,258,
286,539,002,707,600,017,056,194,041,726,701,250,966,827,626,619,146,033,106,
936,088,970,288,340,830,182,502,921,333,682,609,168,351,645,879,576,450,834,
805,398,710,675,186,403,205,596,773,632,502,246,316,773,829,780,851,503,075,
407,187,093,509,354,546,174,451,364,770,912,014,416,488,210,138,934,670,011,
495,875,381,729,300,831,827,118,796,245,787,197,870,363,775,461,017,485,954,
549,446,442,492,680,702,763,437,552,906,635,086,644,494,626,387,785,007,427,
473,074,935,827,229,567,908,477,178,997,731,511,150,726,713,674,520,174,627,
185,874,247,034,578,541,971,606,916,479,800,924,342,374,326,478,099,012,235,
883,158,441,082,783,768,749,223,595,648,873,478,060,589,765,051,323,802,716,
089,011,126,668,859,410,831,299,097,370,862,381,738,722,080,696,411,142,314,
656,600,057,107,483,402,692,043,176,647,042,073,032,719,083,440,647,508,874,
591,456,948,629,082,137,737,391,397,984,244,706,075,718,243,770,946,616,077,
663,698,240,208,776,443,323,288,781,327,018,037,282,705,424,640,329,170,632,
974,690,413,412,846,466,629,399,132,862,770,509,265,966,385,444,709,544,919,
378,817,521,456,642,801,942,699,134,740,526,127,490,181,498,933,403,979,683,
496,826,607,910,398,422,846,576,748,986,947,576,805,239,608,629,869,040,138,
205,251,352,378,609,270,655,081,127,148,765,240,847,033,597,765,380,759,150,
034,574,953,597,710,079,003,837,069,216,928,865,128,274,967,597,103,643,514,
187,259,508,715,365,210,211,876,852,271,119,654,673,041,544,795,909,012,410,
835,817,533,219,503,217,977,193,588,244,299,271,962,979,222,942,982,224,522,
729,985,785,196,064,939,465,359,729,978,639,852,624,853,905,073,656,352,156,
249,092,926,256,380,288,794,935,115,568,680,484,944,450,422,455,127,386,136,
064,847,424,776,462,349,272,231,956,331,156,277,774,819,473,385,002,113,311,
719,475,018,381,023,080,642,761,151,970,846,176,804,514,530,698,889,938,830,
736,564,772,422,460,321,530,315,621,336,522,156,952,464,334,007,860,547,245,
257,733,115,453,023,805,154,874,294,235,145,388,028,647,953,430,097,281,392,
084,333,052,052,957,251,889,828,089,625,697,265,995,240,423,190,486,099,694,
494,351,345,892,999,882,348,567,959,090,979,474,402,765,904,017,191,376,183,
728,728,003,215,465,193,083,420,043,276,710,963,616,188,438,157,174,369,985,
824,076,385,290,066,782,637,525,431,945,354,263,119,124,389,371,205,898,797,
920,370,146,364,578,587,770,225,768,361,630,424,254,382,522,631,881,366,830,
151,999,101,444,857,915,388,923,985,234,262,811,315,309,155,770,083,214,286,
774,125,679,739,053,314,804,041,108,419,270,285,277,430,839,540,416,703,784,
617,694,087,259,331,039,224,409,677,969,248,468,469,466,012,524,648,606,693,
894,819,126,889,622,107,801,879,025,160,902,652,875,257,223,344,604,955,079,
026,406,748,795,455,406,952,374,295,430,468,713,794,259,109,330,132,107,426,
407,893,997,418,512,260,741,225,064,410,501,896,023,135,752,292,505,938,041,
335,254,032,555,341,202,529,707,067,067,162,307,589,527,553,931,731,688,689,
699,738,095,088,451,921,536,992,499,330,229,805,800,682,499,241,074,198,837,
835,194,850,663,840,234,918,662,700,335,432,785,171,392,395,452,301,712,906,
975,027,144,442,017,259,417,758,430,824,992,554,878,236,871,213,877,239,303,
439,324,536,949,048,839,625,739,311,192,140,120,845,115,452,020,332,009,354,
187,889,544,786,995,155,792,998,749,434,125,915,446,537,628,189,152,727,846,
362,013,370,714,671,453,300,482,294,753,839,315,664,947,693,017,400,622,944,
046,799,893,520,156,018,409,176,527,846,775,464,972,311,916,854,280,910,586,
972,695,418,043,425,243,215,293,401,686,717,366,667,850,433,100,318,413,049,
835,707,772,624,884,852,620,438,659,122,363,016,563,696,902,531,890,860,711,
605,166,253,324,591,435,944,634,886,192,127,537,834,307,914,002,696,149,221,
008,008,474,667,970,162,495,527,452,077,701,081,313,313,080,339,671,454,912,
372,322,849,675,037,459,708,113,370,920,388,700,146,637,012,142,062,748,857,
199,459,370,512,004,329,774,918,479,337,871,824,777,450,290,887,207,944,957,
237,289,899,536,362,548,279,821,909,433,490,700,790,801,918,372,053,784,603,
034,413,908,390,435,857,718,689,539,709,111,766,350,862,669,063,193,640,281,
899,806,918,108,943,223,493,414,043,763,028,136,276,603,979,831,732,099,486,
224,160,162,148,022,652,526,964,347,638,911,860,298,791,159,702,415,007,776,
108,835,545,843,919,947,791,263,792,816,690,574,943,262,241,832,155,987,310,
577,054,720,970,048,182,215,096,319,985,203,069,967,413,530,137,653,423,693,
222,584,838,386,325,938,439,437,788,061,030,252,960,193,523,342,665,980,731,
628,352,400,856,322,569,041,326,324,443,443,920,588,681,418,062,749,696,829,
126,172,214,106,621,515,703,215,784,321,138,416,480,221,900,833,959,551,601,
139,700,948,317,534,858,944,356,726,386,327,373,045,353,115,731,974,058,749,
166,250,229,651,541,312,318,148,309,103,493,012,789,067,301,401,052,441,181,
390,434,087,865,637,377,038,047,397,296,804,227,295,925,325,511,912,651,450,
613,249,156,550,161,718,232,171,288,104,708,585,021,960,114,391,942,776,295,
723,357,439,617,426,393,247,228,349,015,559,133,715,636,230,089,652,922,873,
862,657,210,499,340,258,830,336,583,354,744,247,942,774,523,645,711,863,257,
627,772,276,390,620,465,264,619,298,787,174,291,240,087,306,017,738,227,040,
001,107,519,985,803,506,462,409,551,518,842,118,406,366,637,235,891,955,915,
867,051,891,813,730,937,911,726,203,166,925,148,948,032,495,316,276,660,682,
917,775,519,164,626,569,628,601,278,648,165,924,074,188,339,017,186,329,375,
174,751,849,052,613,793,171,691,417,748,971,975,813,557,615,087,030,807,938,
182,273,268,039,003,917,644,524,164,575,251,421,835,867,083,347,796,601,540,
206,072,789,745,407,863,292,680,191,544,861,994,069,769,586,974,754,024,905,
812,404,443,941,880,329,269,264,733,937,571,312,762,764,141,831,912,717,338,
724,904,346,256,139,122,659,002,524,003,397,056,591,683,950,758,464,605,891,
902,597,105,937,847,829,067,654,054,594,610,588,079,643,160,682,665,717,873,
932,021,358,298,606,594,665,414,027,588,995,528,008,365,538,176,748,959,486,
009,957,358,598,169,264,595,225,552,080,029,691,893,588,879,864,324,168,792,
829,686,113,588,086,056,156,533,827,982,005,659,464,745,866,818,010,403,903,
397,734,074,840,909,612,665,388,995,721,648,928,212,447,516,352,217,117,329,
937,499,514,316,281,030,308,142,116,016,191,255,327,317,579,760,803,818,834,
507,586,059,974,887,023,813,831,997,772,473,283,523,015,943,292,076,222,381,
594,997,447,703,123,854,666,802,137,648,040,767,897,804,790,465,648,474,994,
447,429,062,980,439,308,772,849,042,049,621,817,340,363,500,851,582,684,981,
336,782,578,126,850,093,862,054,532,355,810,235,901,997,073,315,951,450,983,
824,380,816,694,179,788,589,605,371,600,369,156,578,435,916,484,584,873,182,
590,541,772,338,552,046,194,268,180,513,429,860,185,875,600,317,346,762,649,
743,450,122,066,111,515,340,196,059,343,086,812,883,331,833,361,149,976,986,
532,899,063,012,096,960,400,980,059,071,275,924,421,423,892,662,272,784,146,
671,872,282,231,469,318,424,236,920,146,632,924,692,136,406,282,104,418,727,
460,856,736,635,601,965,293,705,072,342,957,418,168,812,329,947,888,581,967,
848,870,608,253,211,938,829,484,384,677,918,309,415,290,624,906,329,531,753,
159,948,114,355,674,788,101,757,292,363,602,572,633,591,799,624,380,360,040,
801,011,008,955,182,526,840,908,442,787,743,349,171,898,854,924,023,227,138,
169,410,989,444,561,980,732,988,400,549,351,283,675,993,715,467,478,547,970,
912,409,558,579,805,226,178,558,807,868,662,603,964,021,521,976,125,254,329,
097,766,789,883,585,177,083,657,590,125,460,318,846,187,257,648,748,720,952,
944,673,896,032,586,683,750,559,455,422,619,546,170,968,695,071,335,486,128,
644,808,419,265,541,430,511,124,836,087,674,265,894,480,461,603,531,687,709,
218,515,123,050,847,601,862,167,128,674,274,674,782,804,006,455,764,561,822,
266,087,706,971,901,084,214,707,038,889,441,981,531,714,159,567,223,802,806,
892,663,701,459,785,330,507,756,167,505,541,813,595,996,094,979,966,293,850,
436,608,947,702,779,056,649,986,988,380,779,105,077,122,192,589,874,924,297,
438,730,514,188,906,678,493,402,094,990,415,684,701,482,031,958,748,179,282,
587,351,378,601,547,429,026,990,942,310,522,475,518,234,861,269,750,186,079,
581,270,148,039,714,992,942,369,896,057,428,920,426,328,142,767,833,945,171,
993,267,619,966,589,416,653,924,667,872,516,924,186,570,582,381,454,248,851,
286,755,101,908,453,312,934,466,786,572,095,688,965,973,010,004,201,334,446,
252,378,092,739,915,991,459,690,879,819,481,417,372,036,731,460,157,763,250,
069,282,220,934,094,480,017,930,652,081,334,132,557,316,968,276,071,889,279,
705,646,621,940,675,837,140,342,491,982,316,321,501,397,524,583,158,224,782,
020,652,185,709,179,700,051,279,273,357,438,647,833,455,498,099,799,493,586,
009,230,135,285,553,444,339,634,328,844,497,409,389,779,240,864,380,015,712,
438,634,026,153,623,555,474,111,664,045,685,858,243,695,598,822,240,713,407,
165,230,661,155,936,667,352,834,431,664,613,811,956,578,506,748,582,316,390,
211,578,520,399,129,361,273,187,600,717,245,865,769,777,888,113,950,892,339,
067,374,643,124,874,546,180,971,182,484,103,170,380,250,258,810,870,340,554,
738,566,917,950,219,936,434,134,000,377,477,333,148,474,041,579,435,220,334,
745,089,485,432,612,164,125,209,917,073,207,171,698,090,502,113,504,532,968,
919,029,679,121,636,425,889,776,529,891,817,525,716,923,538,240,304,673,563,
126,814,366,148,786,677,618,731,141,230,460,131,474,056,063,442,824,010,765,
357,761,967,767,522,675,171,615,884,063,003,103,037,846,028,302,362,596,447,
420,866,811,218,151,043,632,269,331,451,193,092,512,053,107,549,551,571,493,
732,898,818,669,175,866,390,501,452,903,653,592,529,329,940,943,626,049,698,
082,413,343,680,652,734,222,268,217,491,522,180,347,415,429,342,632,359,960,
003,372,395,984,434,631,855,548,629,021,088,212,104,255,894,088,995,829,899,
087,749,608,531,947,733,475,066,035,130,337,175,884,024,490,467,842,406,466,
146,609,517,970,480,795,393,326,515,765,976,074,606,505,459,732,520,380,618,
046,425,682,365,776,966,387,156,609,616,443,744,997,099,206,178,910,829,817,
188,937,289,422,499,570,087,987,208,995,846,942,769,661,989,078,907,518,185,
792,813,466,408,783,251,144,454,085,175,565,782,761,516,872,317,542,694,942,
179,444,901,452,779,612,604,851,484,098,687,764,460,466,546,615,290,357,030,
804,698,091,181,236,459,565,888,546,309,426,348,214,818,944,828,424,128,289,
412,944,936,190,796,000,236,420,502,181,531,824,771,873,550,996,787,177,580,
804,931,399,473,893,507,306,862,883,565,680,910,458,562,919,819,514,821,484,
785,678,291,404,222,482,063,540,833,147,537,192,321,283,548,708,469,079,687,
875,050,219,903,362,401,919,585,377,416,465,188,765,672,418,264,713,429,705,
306,057,919,348,160,925,006,332,562,281,963,118,666,890,663,091,735,453,581,
139,957,693,888,024,440,910,095,844,733,074,262,881,571,954,398,682,696,300,
945,613,803,603,946,602,236,181,936,137,875,127,293,669,307,163,929,820,902,
480,396,200,328,639,505,756,557,127,802,206,461,364,611,552,604,691,643,601,
355,039,354,206,781,061,554,890,172,329,142,453,008,903,490,979,218,643,799,
591,295,107,658,514,199,659,539,275,964,762,733,180,734,727,767,111,255,241,
790,854,088,133,755,286,911,751,839,683,133,381,020,685,941,217,633,057,545,
553,944,485,924,003,558,112,634,564,420,775,553,038,505,315,457,944,246,689,
678,624,045,551,530,467,968,254,689,661,233,235,786,877,856,029,085,915,225,
864,756,092,196,900,905,625,886,599,607,262,477,290,928,166,518,215,777,665,
108,367,547,872,516,376,080,165,540,586,552,472,951,813,027,068,409,677,706,
464,501,157,421,392,841,401,992,687,012,524,560,791,701,481,497,446,360,293,
824,585,863,900,369,618,607,442,817,450,810,431,592,338,446,056,946,893,027,
531,873,656,597,140,269,759,723,713,793,689,542,314,684,967,661,982,102,264,
996,096,090,218,146,025,829,938,459,753,383,325,386,607,286,405,521,035,091,
791,740,658,378,646,439,057,414,086,484,056,094,128,162,094,235,148,198,662,
070,719,983,963,113,747,127,566,180,697,289,479,538,375,342,056,111,008,520,
786,299,563,994,949,187,332,729,256,061,427,462,521,121,527,025,976,885,498,
988,169,860,414,930,460,196,752,877,573,097,055,018,182,038,570,173,395,185,
663,467,278,435,857,998,173,672,029,006,035,517,593,992,879,349,822,568,733,
523,070,345,808,075,071,482,664,885,941,505,095,977,712,565,630,987,748,369,
554,245,944,752,462,885,186,096,498,405,947,347,739,336,662,306,036,522,070,
670,118,210,619,243,640,132,780,321,719,710,195,052,069,077,191,638,579,613,
205,422,591,507,865,091,748,332,482,864,825,673,853,135,081,129,245,505,180,
423,466,218,788,607,013,619,621,567,464,296,634,285,450,282,048,534,098,224,
583,660,554,301,841,889,747,939,280,051,972,424,327,799,758,031,923,441,372,
713,435,357,928,005,045,613,812,395,363,819,098,492,664,358,838,686,608,148,
907,717,569,451,855,998,143,068,578,060,156,143,236,110,138,077,117,580,928,
077,429,170,792,859,431,908,529,222,012,629,689,430,934,498,236,238,123,227,
763,094,209,678,535,873,032,673,680,321,289,484,716,492,075,504,379,031,309,
149,491,709,016,691,532,708,414,914,976,655,558,186,683,672,945,601,602,679,
343,039,357,268,124,208,247,763,387,966,856,758,752,568,509,164,294,623,820,
617,264,444,347,390,724,203,436,388,279,394,086,647,111,150,370,832,956,700,
219,989,353,834,633,764,469,181,103,932,926,634,223,631,558,073,072,168,594,
634,463,993,482,256,451,964,096,933,312,204,187,048,547,805,044,924,866,754,
219,101,974,101,997,455,577,203,245,979,218,458,181,364,239,674,479,083,825,
064,162,492,900,368,045,304,239,029,311,673,822,643,918,380,029,768,844,392,
157,542,315,009,836,359,598,148,935,346,119,409,499,482,221,357,381,147,617,
774,501,570,650,796,001,709,385,707,805,703,521,168,007,927,355,146,014,543,
365,663,269,106,910,812,075,585,264,031,460,174,981,173,114,079,446,065,478,
596,471,475,448,507,161,897,327,484,729,956,253,907,145,755,900,804,441,968,
554,187,298,032,370,521,868,418,658,223,726,024,654,184,580,814,547,502,952,
083,377,178,671,880,112,275,598,872,293,987,994,282,667,760,971,423,499,229,
605,516,021,244,524,786,220,130,731,349,804,243,123,759,029,967,422,236,728,
394,645,399,709,943,348,299,177,414,644,089,017,263,873,668,562,608,749,597,
856,514,845,156,160,009,324,514,750,801,727,570,977,468,799,227,783,887,455,
023,561,559,976,822,602,882,638,495,696,640,394,594,399,216,053,749,333,958,
109,652,687,296,619,292,282,899,373,818,085,686,279,035,504,951,237,942,648,
491,738,800,735,936,549,183,302,615,630,251,090,470,544,742,843,219,929,902,
629,872,616,530,266,615,288,086,440,872,377,758,409,135,018,353,968,976,953,
928,157,321,725,002,619,032,830,950,222,359,771,665,864,016,556,536,151,596,
466,551,447,643,886,946,779,564,163,437,422,470,698,409,370,195,411,261,386,
466,358,066,632,958,050,485,363,766,980,081,286,666,853,379,111,550,397,334,
903,217,898,906,929,735,109,986,839,684,894,000,998,539,188,180,989,577,143,
784,389,839,568,698,968,770,418,500,712,784,889,491,020,477,966,556,955,711,
664,430,319,511,640,218,097,899,494,784,008,743,844,545,275,131,130,665,229,
596,010,257,156,831,083,404,997,030,276,352,731,070,642,433,306,100,554,645,
005,978,694,312,481,664,520,887,312,595,617,370,805,158,531,589,415,432,151,
847,935,505,267,397,067,821,102,804,605,446,282,846,948,567,127,197,982,108,
751,784,086,930,586,151,223,787,376,814,572,137,315,732,503,446,680,444,348,
542,046,941,705,518,904,914,292,046,952,109,086,852,107,003,837,352,991,051,
081,019,651,690,762,783,106,387,075,025,884,608,870,904,277,967,437,370,498,
126,676,973,926,361,213,451,842,012,115,070,978,045,191,893,169,998,442,423,
135,119,123,815,114,287,343,038,990,942,410,156,830,438,134,737,380,499,312,
995,034,050,202,384,985,707,113,876,828,944,246,272,415,376,956,709,271,800,
693,349,889,203,563,830,787,162,412,564,711,747,207,067,689,179,012,515,303,
815,915,230,567,397,265,135,635,791,387,190,707,613,824,657,901,101,046,147,
020,822,060,613,867,668,448,869,504,365,885,438,275,358,432,110,486,022,926,
834,976,209,829,118,773,616,918,072,664,663,318,514,483,576,240,083,997,479,
000,583,924,603,599,898,913,189,634,187,726,197,515,105,065,673,969,523,611,
184,611,725,448,689,866,115,018,051,105,890,837,208,809,602,404,364,729,419,
619,535,923,155,185,928,635,186,193,153,863,551,414,003,391,861,021,212,259,
332,748,009,847,779,519,715,785,578,089,656,222,331,561,780,658,458,676,685,
466,985,986,081,367,927,688,059,453,003,361,602,710,886,546,341,327,508,372,
066,403,170,524,041,570,873,302,951,717,473,014,950,373,333,842,674,730,121,
043,774,046,856,532,616,591,331,577,906,368,320,134,213,104,744,755,592,538,
632,632,380,078,123,269,898,777,133,120,688,319,894,974,037,964,402,959,416,
908,308,605,581,610,222,037,842,813,321,075,974,788,979,980,866,671,243,632,
792,131,048,475,438,842,800,732,175,768,443,219,403,581,669,461,250,558,805,
849,804,629,607,331,348,120,842,140,151,160,845,083,859,009,272,352,746,097,
682,671,575,109,365,775,431,959,320,169,847,843,268,894,845,597,788,576,551,
184,145,633,937,568,105,274,670,641,302,509,717,873,568,493,010,374,301,585,
940,824,152,751,923,059,705,164,890,686,233,804,471,836,088,036,978,123,991,
984,997,324,276,594,884,838,461,363,672,494,337,978,147,286,911,949,494,309,
657,191,964,759,929,185,015,068,691,579,236,630,076,101,317,351,738,417,270,
695,780,236,255,399,599,976,154,850,076,471,903,214,424,481,267,558,955,810,
317,359,036,260,433,415,898,672,732,772,796,966,616,581,132,696,638,689,954,
913,154,671,410,072,930,109,029,286,036,614,691,284,750,942,769,968,766,053,
961,304,699,495,404,929,972,352,430,527,078,657,770,806,316,397,995,233,222,
033,749,573,760,931,110,146,724,363,192,005,725,891,606,718,009,238,072,269,
967,630,520,540,452,997,763,860,387,442,110,865,524,644,069,714,426,674,191,
302,594,509,544,619,917,384,689,399,912,674,880,329,216,568,017,830,094,236,
302,272,568,889,279,849,069,303,337,751,051,556,626,573,438,452,277,748,004,
117,697,479,446,214,597,514,410,891,413,795,612,740,979,960,344,096,129,331,
036,090,604,161,079,570,923,507,379,660,056,099,524,238,416,886,802,391,050,
310,283,841,409,283,429,237,858,318,630,740,274,828,434,990,140,456,689,919,
757,253,808,120,910,586,783,410,390,761,546,788,700,362,729,663,204,456,451,
123,710,473,073,811,213,370,648,553,910,620,988,218,352,941,841,324,775,032,
701,504,335,135,128,503,413,012,470,767,619,425,135,124,804,438,625,283,613,
472,310,854,971,199,445,941,038,942,599,827,206,776,275,913,837,140,627,515,
802,859,721,868,961,042,892,881,932,019,803,504,123,566,996,917,434,272,409,
388,853,081,072,240,049,072,456,999,011,374,917,949,399,341,467,751,908,744,
583,816,604,692,666,231,253,393,413,261,328,763,822,840,916,285,585,110,069,
819,542,711,778,499,879,677,822,411,809,633,267,935,331,253,575,161,258,325,
788,425,167,360,506,034,306,889,322,993,424,028,522,020,835,579,198,618,320,
835,888,151,291,851,888,485,022,040,849,834,334,513,154,286,118,747,988,481,
164,500,231,218,618,067,166,762,791,444,566,142,367,113,418,680,518,391,347,
316,440,932,013,176,951,685,444,804,760,670,088,005,109,757,474,453,422,296,
558,443,638,223,980,067,627,812,585,529,878,609,292,263,051,793,991,057,213,
446,566,631,198,512,721,422,527,070,732,657,571,928,084,712,670,283,158,211,
978,777,267,736,329,721,204,138,810,283,873,755,082,150,418,069,979,250,398,
709,839,761,463,412,580,317,726,630,791,358,653,460,406,324,904,954,670,329,
341,829,426,946,021,268,520,436,749,615,530,239,564,297,124,333,342,046,829,
944,155,362,183,382,699,488,404,246,330,031,047,961,951,013,784,126,178,097,
538,620,420,565,201,256,080,121,212,547,869,382,095,552,141,239,159,202,097,
648,533,019,460,048,520,313,929,361,984,772,884,995,763,482,809,415,711,592,
460,384,120,372,985,747,893,821,113,051,627,489,435,191,375,043,391,332,527,
805,016,246,041,386,323,426,880,416,893,939,005,390,960,458,953,607,266,466,
495,451,455,024,626,498,175,433,304,977,535,477,513,924,132,306,467,590,553,
934,387,593,723,711,909,461,309,489,545,025,746,147,932,074,354,422,275,138,
482,134,964,656,919,936,110,155,607,767,507,510,370,714,008,850,346,870,821,
311,121,036,892,107,439,391,824,174,863,607,204,847,261,194,043,870,055,256,
636,997,228,129,880,504,398,160,925,661,523,027,439,813,510,206,355,249,586,
958,758,814,777,010,711,845,911,326,638,499,378,092,467,512,877,591,259,861,
174,312,252,844,710,735,859,304,351,663,739,131,105,028,046,540,380,329,622,
111,052,083,325,598,461,797,229,908,777,285,397,180,131,991,975,218,704,278,
490,211,610,111,015,373,038,781,818,384,115,041,958,801,789,363,152,862,812,
473,343,631,331,923,531,356,791,321,294,927,806,181,712,403,969,783,905,958,
056,315,894,079,048,718,897,019,546,531,522,162,702,141,013,244,346,658,802,
013,202,644,838,482,877,108,720,620,311,132,531,932,331,885,260,819,530,391,
868,890,820,410,263,380,651,268,053,189,099,089,878,775,102,898,646,145,555,
553,207,961,581,895,909,259,236,459,598,899,883,272,254,969,672,625,010,516,
983,437,234,424,790,054,517,881,086,218,400,296,412,503,455,120,824,645,885,
395,792,714,390,779,184,999,051,348,495,560,614,117,549,512,041,241,730,915,
382,823,507,393,047,351,817,847,444,895,673,150,170,533,914,671,309,682,423,
005,816,069,437,749,253,014,623,213,817,686,556,359,965,096,832,322,056,838,
335,923,205,988,825,212,189,862,590,917,507,913,127,342,613,015,616,374,864,
887,102,731,949,483,407,014,930,557,644,310,823,811,702,971,437,153,287,886,
477,046,631,548,458,143,509,975,728,031,226,334,703,737,608,133,699,549,609,
333,144,320,370,314,474,689,372,357,972,497,259,958,793,463,860,911,821,719,
337,893,024,654,935,324,080,301,073,042,638,766,966,932,720,953,220,563,000,
344,262,522,609,215,675,865,623,113,432,119,386,103,081,936,558,746,507,212,
724,315,341,071,800,295,367,408,446,186,663,828,802,297,289,450,547,763,134,
163,299,633,966,228,346,279,351,704,303,335,143,572,937,045,033,957,743,162,
382,556,600,788,762,360,936,054,104,565,918,306,644,055,598,342,261,631,942,
905,844,216,991,693,823,532,808,004,703,807,184,769,880,518,190,330,943,530,
383,427,509,945,935,753,336,492,317,832,716,297,260,849,988,575,621,382,365,
566,356,937,555,596,960,847,037,176,787,682,052,587,549,718,932,013,649,206,
221,123,328,434,772,537,997,275,104,471,512,522,039,229,553,517,782,295,005,
769,607,631,433,375,813,030,073,937,530,891,600,242,047,691,492,903,660,618,
276,314,032,958,292,068,725,452,402,831,984,600,911,023,721,665,816,742,480,
653,140,065,295,630,707,677,930,427,367,297,622,309,258,070,712,067,911,776,
307,161,166,289,537,898,338,868,126,429,324,925,675,318,737,506,326,090,434,
259,735,466,469,390,729,760,728,986,007,812,268,125,652,825,255,640,531,364,
363,125,635,579,828,586,650,806,073,665,877,531,978,540,161,675,821,152,832,
215,323,116,693,959,949,014,170,904,760,836,284,383,236,210,043,534,011,098,
155,086,351,572,404,657,510,481,888,980,003,268,579,864,724,262,992,646,004,
254,702,807,198,007,732,539,537,581,876,589,990,015,980,379,893,496,479,545,
314,407,458,807,437,827,000,588,360,963,946,128,308,280,010,115,841,062,977,
118,080,469,582,536,730,808,393,048,346,575,870,743,412,250,994,862,456,286,
057,026,613,198,901,252,316,270,481,928,393,627,394,205,886,890,873,867,344,
578,805,633,213,707,923,040,466,443,175,437,238,142,941,150,008,449,531,148,
389,425,746,287,514,902,343,327,618,410,201,937,185,101,254,246,853,464,654,
951,396,562,540,070,348,362,263,228,819,698,632,722,125,024,657,081,351,366,
811,688,155,211,893,051,845,808,324,682,280,429,533,978,992,111,146,520,198,
651,563,317,819,549,624,182,307,310,494,296,767,445,766,269,383,939,779,751,
158,936,605,326,962,757,579,866,870,131,935,298,624,659,413,150,124,210,801,
733,477,113,746,694,689,173,439,793,263,199,724,491,447,030,336,621,067,678,
122,776,071,163,373,163,682,949,783,733,301,602,983,807,146,996,525,599,537,
047,350,205,085,533,146,945,484,319,326,119,322,497,860,841,068,857,392,901,
731,020,627,261,796,978,009,963,589,186,084,333,854,790,689,682,016,737,008,
332,870,084,913,685,583,471,594,906,033,365,460,600,711,358,613,828,181,373,
952,695,277,751,190,359,051,474,112,960,578,860,564,650,363,681,794,536,272,
612,952,923,492,347,075,863,500,568,720,666,415,010,048,688,749,041,325,393,
994,829,845,985,915,927,863,461,176,184,547,397,970,723,191,339,857,029,940,
173,092,456,074,355,156,475,556,911,885,434,391,924,047,436,986,114,763,234,
436,475,931,527,300,944,396,457,721,753,851,779,227,608,073,606,140,052,180,
795,805,385,218,612,935,728,320,571,204,496,996,531,269,110,416,458,287,812,
175,661,974,294,770,358,252,693,632,623,016,002,753,083,037,397,145,877,389,
530,795,181,236,961,245,982,137,490,762,440,746,760,856,479,030,807,344,190,
156,353,887,713,742,398,217,269,698,457,109,152,495,043,391,044,721,268,280,
439,090,776,398,582,021,338,373,724,943,834,800,599,865,104,566,281,687,348,
638,854,772,164,105,473,780,093,667,872,219,357,121,069,339,274,630,561,214,
570,681,165,568,019,831,745,449,807,915,828,162,245,063,669,705,077,057,497,
054,449,649,434,303,074,300,958,131,355,493,418,627,176,077,381,430,941,852,
143,657,266,698,579,397,102,521,035,044,082,511,165,845,330,763,534,098,758,
495,725,261,643,129,971,411,657,109,705,408,326,483,338,761,065,880,256,412,
146,998,396,091,351,639,364,214,396,940,962,923,242,081,489,314,924,701,010,
049,655,742,792,319,283,681,205,480,703,429,426,909,037,320,799,135,514,826,
581,905,722,088,004,498,045,440,320,030,008,999,860,009,633,186,241,292,770,
451,036,422,249,466,342,198,487,901,590,814,919,713,591,801,551,956,749,922,
042,105,186,543,552,938,296,644,029,521,469,758,149,130,472,333,270,529,184,
579,963,025,382,975,957,810,656,067,513,132,678,366,998,438,750,623,209,344,
227,634,256,658,843,674,245,458,743,594,076,583,931,648,665,537,262,645,419,
948,361,237,880,060,312,790,302,528,511,669,096,591,178,735,474,744,703,769,
279,674,611,377,893,817,297,107,593,459,786,777,218,672,780,486,633,117,511,
047,792,826,931,263,042,446,270,194,519,620,896,756,415,964,194,636,107,957,
826,719,872,095,564,991,061,576,238,574,618,555,671,796,138,513,388,267,587,
345,551,347,773,183,409,360,338,497,105,316,572,222,954,171,926,370,869,208,
701,726,515,197,728,260,205,499,375,420,878,307,165,494,225,033,659,258,901,
554,220,045,829,417,667,300,062,509,214,508,244,552,007,206,822,487,002,834,
181,210,906,627,159,533,271,997,102,669,995,630,313,063,947,540,117,227,756,
013,126,892,629,177,689,954,652,919,468,212,379,552,024,527,323,681,185,852,
529,882,242,017,996,098,953,944,802,408,903,519,677,292,213,048,954,401,277,
830,751,071,916,740,923,945,330,418,802,344,980,387,484,616,696,833,398,768,
336,737,733,899,362,858,309,138,081,120,411,379,050,690,332,206,366,728,078,
991,535,007,859,622,138,867,394,539,536,678,303,559,810,736,095,771,511,903,
009,424,643,274,291,056,163,966,689,783,082,316,730,243,439,003,227,656,761,
959,737,680,327,893,629,193,303,911,611,359,512,723,034,586,069,196,611,844,
700,909,236,436,718,213,631,905,380,094,990,274,061,153,049,339,534,948,777,
988,268,120,471,704,114,799,425,178,942,869,875,696,940,164,921,651,563,240,
797,372,068,932,013,941,159,776,934,288,022,363,490,394,537,477,889,772,779,
305,734,401,732,495,996,869,466,761,148,589,193,028,599,976,855,218,680,529,
638,172,892,634,207,941,158,023,445,270,980,397,599,223,891,373,447,579,455,
185,991,534,652,669,756,006,693,241,204,942,203,616,261,028,104,162,659,583,
740,203,472,405,884,281,944,698,677,268,868,264,793,726,796,652,662,400,634,
076,448,111,363,376,715,143,354,288,540,024,676,690,655,946,051,713,108,479,
072,604,419,534,263,065,189,186,653,262,848,933,769,178,269,841,874,520,909,
047,813,251,829,952,152,997,364,503,820,242,166,413,414,784,247,291,200,703,
206,689,477,000,510,157,254,090,336,041,140,832,402,942,018,440,380,747,863,
539,277,862,404,010,373,246,838,785,267,933,895,122,561,629,080,688,455,613,
222,721,790,485,531,296,299,390,632,645,990,735,062,969,746,187,948,226,578,
706,399,774,494,269,352,613,000,266,300,635,777,154,569,087,961,204,729,722,
567,125,119,342,561,192,824,586,133,264,597,288,365,948,886,082,814,358,932,
319,051,724,785,837,241,982,464,196,107,143,053,579,098,533,336,139,984,856,
103,855,644,905,923,588,436,409,112,204,220,122,640,784,331,971,504,273,139,
904,889,661,374,400,824,792,330,180,168,263,158,311,673,999,341,071,286,353,
346,681,213,749,264,536,260,892,132,571,720,581,090,494,042,519,380,557,423,
490,310,485,601,407,801,203,426,739,228,008,101,031,116,744,660,789,780,948,
800,836,436,562,828,326,708,921,095,226,765,118,709,149,879,584,750,775,064,
721,072,899,871,658,357,405,773,234,888,182,918,953,842,212,017,487,606,977,
813,073,172,020,013,294,645,525,003,823,261,237,800,527,119,172,383,712,092,
291,492,066,771,642,930,534,917,087,574,314,041,646,125,138,898,452,714,206,
583,918,297,596,518,938,585,893,973,575,042,335,112,860,860,992,115,989,146,
696,815,516,511,385,591,150,142,464,518,164,286,474,599,079,937,738,412,448,
443,390,095,028,200,969,969,268,757,005,753,974,801,197,547,827,592,348,698,
736,156,003,794,840,736,930,556,043,889,639,081,512,367,077,044,020,398,362,
494,913,102,897,927,054,401,445,477,441,947,449,840,014,467,133,054,432,376,
006,215,423,354,779,549,236,575,992,455,330,713,570,895,520,754,367,012,989,
260,811,554,460,899,856,823,429,380,916,680,671,262,106,351,406,203,575,392,
473,353,823,999,017,970,266,492,518,540,116,385,884,298,305,830,380,573,701,
876,049,413,604,718,414,711,711,889,498,868,921,086,989,058,562,344,675,242,
475,214,930,431,323,485,557,538,779,181,562,539,888,429,928,777,411,681,098,
494,657,146,714,066,735,414,185,232,807,383,938,652,844,701,732,991,653,036,
704,205,925,613,569,887,846,256,870,021,405,834,165,579,833,583,285,700,347,
207,369,503,165,852,831,410,759,874,890,182,890,921,140,605,372,418,541,382,
236,405,955,159,994,276,728,947,204,255,447,921,792,319,113,193,521,004,990,
430,116,553,024,985,024,440,183,727,155,178,876,684,690,686,602,378,519,655,
125,398,520,530,217,037,760,424,985,279,233,899,099,850,541,368,375,107,499,
332,766,039,663,908,548,594,597,331,192,952,754,173,961,564,220,357,646,744,
924,200,229,300,084,005,338,950,959,029,332,862,599,632,667,333,484,401,221,
110,791,185,924,490,275,401,310,528,544,871,073,708,905,775,997,879,641,867,
200,952,136,785,101,767,808,520,874,095,158,521,639,141,740,068,329,025,944,
896,764,263,597,106,680,933,709,363,809,003,760,469,974,072,897,970,557,288,
990,804,550,020,405,705,115,037,599,340,508,301,003,506,641,041,605,209,372,
219,182,486,550,072,324,314,505,462,221,833,308,640,756,992,615,350,389,894,
848,142,978,035,694,335,953,810,692,159,737,448,425,087,997,663,297,843,704,
725,802,718,487,375,296,107,019,437,296,354,629,224,985,843,459,839,879,134,
524,172,274,471,119,068,389,049,006,092,895,381,788,567,596,903,662,121,664,
626,779,965,762,835,188,211,413,799,664,206,076,194,753,691,842,307,767,825,
422,490,655,161,293,942,686,146,494,584,639,308,942,318,894,253,236,789,188,
125,355,994,069,213,967,464,557,622,301,817,650,462,435,351,956,741,895,579,
502,162,625,259,207,658,276,165,621,386,804,750,205,124,504,479,359,913,899,
973,619,795,963,426,543,811,687,572,962,154,612,867,292,037,994,530,056,334,
953,188,368,288,797,523,866,729,923,406,059,207,130,028,266,223,343,992,129,
912,499,953,800,624,889,029,830,954,900,818,409,495,784,435,443,526,211,345,
971,325,117,396,491,557,643,527,113,950,196,485,479,036,860,442,966,830,191,
173,668,439,019,470,085,929,173,744,870,524,887,849,085,199,418,246,130,937,
017,275,797,627,803,912,571,226,200,126,430,660,409,575,402,199,596,671,581,
347,718,850,377,421,278,691,874,675,059,295,287,337,981,698,910,125,814,742,
068,972,767,809,417,339,644,096,143,715,829,406,921,094,883,833,882,762,960,
899,672,262,970,900,979,348,123,219,502,529,471,904,695,506,767,348,256,827,
973,126,144,018,492,787,108,705,740,655,755,688,397,675,586,141,727,870,733,
608,083,250,490,997,452,370,691,399,834,855,870,123,957,334,492,119,824,703,
351,107,254,730,089,861,687,488,712,077,240,766,485,292,547,751,502,388,819,
428,579,669,962,580,255,337,330,732,450,483,141,899,024,257,648,978,278,209,
817,777,969,578,978,011,282,259,274,611,417,283,471,298,520,825,001,994,209,
579,471,789,648,913,205,465,527,457,338,220,940,963,702,823,245,579,432,974,
852,357,870,818,956,138,402,623,905,895,702,994,180,889,130,742,675,375,485,
346,193,000,161,480,938,752,610,629,241,176,432,935,470,827,401,202,724,495,
722,789,455,297,668,866,352,197,366,500,489,035,795,630,191,583,913,200,523,
797,092,429,405,337,779,637,644,718,869,646,075,746,413,404,988,861,626,732,
389,400,282,987,939,998,131,890,216,431,784,534,755,299,668,905,453,153,140,
742,912,282,050,766,584,831,951,094,407,994,260,709,557,411,568,445,213,971,
335,169,008,373,202,295,895,168,868,061,143,415,763,409,494,332,948,936,794,
063,673,831,942,261,134,287,827,383,619,431,215,648,882,715,766,341,338,698,
362,658,839,037,276,958,636,249,635,435,530,184,601,968,091,075,984,303,987,
619,594,132,810,702,659,765,611,610,204,515,308,797,919,601,081,848,146,256,
332,379,206,724,182,420,043,120,202,505,478,997,703,177,496,992,474,089,669,
024,309,781,354,962,913,246,852,779,835,110,786,650,685,134,657,135,394,092,
942,808,529,924,166,035,881,264,385,575,519,473,822,400,688,466,153,471,081,
158,956,112,575,242,594,987,285,200,531,478,915,160,422,514,575,221,863,051,
726,014,719,847,697,561,100,825,988,995,283,112,939,136,385,681,229,827,546,
666,160,799,061,566,887,547,389,246,410,141,348,688,161,172,149,960,953,985,
174,813,104,924,004,635,411,577,831,475,085,828,113,436,164,845,600,869,280,
461,137,128,840,364,350,877,693,125,606,812,032,633,019,200,739,656,617,076,
757,015,869,370,186,616,191,392,722,768,130,887,881,935,673,043,368,202,540,
052,808,842,055,914,838,703,898,553,897,865,097,817,589,284,199,840,326,105,
195,199,501,498,947,874,180,499,210,116,406,065,437,481,493,376,827,874,454,
316,211,878,142,697,841,490,109,983,251,516,909,996,746,555,423,045,741,234,
754,345,885,319,088,326,818,366,333,974,629,382,955,910,836,928,448,187,912,
050,779,027,117,002,370,336,294,255,974,830,194,535,098,123,814,404,707,315,
911,696,107,962,035,360,927,064,707,303,281,044,562,185,321,983,146,153,571,
486,390,881,219,923,078,484,272,360,021,759,959,217,295,658,645,404,566,371,
223,645,045,845,842,272,546,361,138,621,223,786,510,718,763,985,475,333,140,
722,784,355,853,063,731,321,329,669,433,548,049,196,515,284,973,407,443,042,
508,578,562,586,242,839,563,204,288,112,595,378,689,851,519,574,652,761,676,
348,039,720,373,018,532,939,618,065,145,690,568,366,056,096,566,149,084,304,
268,452,164,636,764,361,902,768,558,053,274,910,376,523,581,219,033,908,207,
662,904,780,976,311,115,779,013,323,447,474,954,979,753,456,258,974,149,220,
361,885,991,464,969,136,774,479,144,470,587,970,566,247,931,474,061,646,459,
182,448,143,013,495,558,478,265,275,385,822,588,217,455,494,140,438,152,571,
993,612,772,185,129,270,810,680,135,981,564,832,654,339,156,629,378,174,085,
982,614,573,730,274,979,942,901,190,721,822,297,891,118,346,784,013,309,351,
714,137,040,770,876,698,250,654,580,226,462,690,749,793,832,001,366,284,485,
927,543,504,108,958,714,091,625,901,331,030,628,543,987,373,838,882,168,331,
801,699,858,715,993,120,519,528,510,281,642,712,716,717,901,140,551,395,013,
733,710,038,513,727,214,718,575,116,692,343,655,841,260,634,307,927,158,356,
520,252,060,585,693,629,997,656,441,462,616,721,222,537,742,992,168,724,591,
641,876,919,960,467,777,230,701,763,479,693,302,398,108,327,689,659,745,315,
675,619,721,877,742,178,010,082,758,689,530,394,980,447,634,294,118,294,308,
101,544,595,421,224,351,951,381,379,059,098,171,723,031,680,149,540,466,616,
509,358,000,264,379,524,039,182,605,045,291,040,604,106,675,407,368,762,107,
416,246,250,427,098,248,196,051,094,984,001,053,307,903,373,966,270,842,795,
694,377,589,881,219,632,192,669,330,562,952,075,017,082,533,405,036,527,784,
032,773,038,298,075,376,268,308,914,190,334,881,615,465,298,520,857,764,800,
940,366,635,689,770,132,419,558,784,830,263,910,022,685,664,981,464,793,123,
268,483,020,001,837,161,976,379,005,825,441,490,780,504,065,013,105,628,365,
912,906,427,706,800,093,882,875,166,258,851,937,175,040,463,648,800,962,428,
193,589,603,823,026,436,048,375,970,292,008,589,750,138,890,250,443,541,149,
295,159,192,178,005,315,862,678,242,235,832,224,649,120,764,820,362,165,917,
523,116,189,076,616,726,990,775,196,618,508,497,837,348,070,733,529,904,713,
033,658,851,470,052,759,435,712,363,081,758,662,770,929,634,822,673,577,067,
418,990,708,324,284,157,966,937,909,221,120,973,061,770,811,798,960,744,927,
798,599,167,965,233,047,751,669,673,744,176,421,743,243,747,820,290,337,209,
072,715,329,182,242,107,852,907,729,254,064,044,404,354,489,916,257,218,062,
416,229,082,340,099,676,075,368,415,890,959,178,254,101,501,933,100,813,508,
807,391,698,655,555,517,644,088,563,601,495,142,957,132,189,604,095,954,474,
736,985,733,132,681,804,688,512,295,718,612,130,780,975,802,478,132,184,759,
028,492,535,686,256,322,595,732,072,883,014,782,250,823,344,744,300,294,922,
966,706,213,722,830,463,226,698,711,371,647,929,217,621,975,337,909,404,352,
303,246,729,227,709,662,329,912,825,787,932,083,120,557,125,240,065,760,072,
358,970,290,004,977,586,131,779,814,614,890,476,874,282,948,535,877,135,515,
795,930,220,257,804,083,360,608,373,052,517,156,967,642,192,950,155,309,445,
605,663,212,032,447,845,992,150,088,349,222,612,602,926,494,008,962,143,334,
674,214,214,776,309,137,863,962,916,191,244,796,475,544,916,984,511,431,045,
320,519,264,237,150,550,003,440,060,880,433,219,174,409,762,102,949,342,855,
465,937,723,772,460,264,381,675,639,039,778,347,077,023,736,200,111,094,072,
627,192,475,326,585,481,644,399,547,169,100,377,473,615,795,897,091,704,721,
385,808,103,771,884,210,830,874,323,838,947,796,356,230,198,305,784,228,527,
614,143,548,894,241,366,928,675,090,098,707,708,208,371,597,573,582,402,375,
766,815,329,446,553,182,834,732,274,903,678,730,595,697,768,939,782,160,813,
716,777,107,923,765,884,844,053,172,346,517,741,771,937,582,675,835,919,112,
325,823,630,967,054,068,719,024,286,312,312,488,893,869,038,851,304,223,992,
478,182,333,708,627,196,982,256,963,961,233,401,582,584,685,752,962,848,773,
972,240,316,181,657,875,105,222,131,781,604,610,197,267,396,060,669,164,174,
811,149,902,727,186,876,773,593,831,858,601,440,303,736,319,676,387,834,155,
879,051,759,619,638,586,024,708,724,464,694,289,996,069,650,387,786,040,704,
686,397,288,799,515,137,278,370,058,551,135,894,158,209,996,312,917,569,546,
428,704,189,478,361,497,301,051,947,171,743,333,123,492,114,102,286,233,102,
660,243,612,675,310,250,237,877,879,324,647,463,629,787,834,444,825,890,021,
218,678,024,955,497,084,791,066,458,172,708,256,109,658,782,051,165,914,930,
198,255,951,827,619,204,358,747,078,321,395,459,756,854,829,830,607,441,079,
442,274,165,203,352,646,620,784,564,451,973,807,217,858,012,479,360,129,302,
069,376,498,349,956,773,073,931,602,833,271,480,595,985,663,604,478,257,231,
440,870,211,598,348,002,429,907,660,123,623,753,069,339,256,720,673,843,439,
640,059,870,681,230,168,596,802,563,619,424,421,004,390,754,048,243,900,621,
100,235,588,183,111,467,552,450,809,037,053,775,540,648,235,964,371,382,041,
190,471,238,008,554,725,647,086,450,079,760,786,294,776,191,633,153,648,957,
945,419,019,130,873,106,901,763,227,877,034,444,327,386,046,420,082,375,512,
148,172,457,368,914,643,644,532,676,361,662,932,310,958,787,831,311,207,084,
099,464,058,398,043,362,511,401,986,137,066,134,050,178,262,073,100,869,099,
392,529,736,666,911,277,222,373,828,632,937,610,974,009,733,348,840,192,707,
426,716,719,323,868,358,204,013,202,866,761,090,857,380,997,566,466,517,641,
721,632,587,726,921,038,531,820,215,051,077,546,902,818,802,729,062,751,404,
212,640,617,315,622,330,026,152,257,268,420,813,963,595,409,853,618,071,807,
179,223,602,673,410,677,055,821,274,430,081,383,485,830,054,381,595,760,264,
768,649,229,863,600,632,867,739,729,972,524,279,762,737,655,324,278,992,480,
200,765,329,474,112,493,239,355,453,651,272,584,511,740,432,892,280,330,751,
681,346,193,792,270,068,526,518,750,647,979,459,466,291,967,241,693,816,787,
998,804,269,605,438,390,736,232,787,579,531,595,689,711,882,849,389,374,888,
307,849,206,157,568,970,798,315,479,180,209,043,789,212,353,100,693,984,534,
017,696,901,067,740,560,403,307,380,504,785,015,887,970,479,379,649,961,713,
284,303,338,434,959,631,373,165,503,020,217,988,444,593,939,681,915,515,589,
182,806,432,869,200,282,656,935,352,366,160,053,013,736,946,604,943,085,273,
676,101,544,569,946,256,613,531,088,636,315,361,942,832,877,314,741,740,330,
735,647,246,499,557,678,009,852,349,499,414,772,399,828,166,773,753,558,472,
201,989,024,948,732,734,620,931,952,573,567,166,697,581,984,800,385,775,456,
948,544,233,325,614,123,185,165,827,170,634,611,333,820,507,175,092,187,018,
784,076,212,071,471,472,575,678,275,501,554,683,625,802,263,987,110,059,368,
882,552,476,777,324,452,235,528,548,849,666,449,007,969,307,428,487,072,469,
798,874,807,243,872,444,149,389,824,387,624,157,908,769,218,735,740,869,477,
134,455,034,205,380,219,208,861,400,702,753,419,585,609,655,786,141,755,937,
323,246,308,884,517,165,440,015,382,026,576,036,727,516,208,227,343,081,835,
621,823,546,399,267,898,440,510,369,644,120,448,515,868,252,950,185,550,839,
430,495,785,201,864,674,453,517,444,351,944,022,682,480,642,358,400,627,308,
987,614,717,283,802,523,072,250,820,427,905,872,732,681,458,168,691,945,339,
974,631,257,117,744,091,433,140,378,347,509,483,757,966,024,965,665,852,161,
623,497,750,800,702,905,171,246,227,624,699,486,185,659,397,942,066,991,102,
258,045,658,396,072,454,400,299,839,809,431,113,171,732,220,048,007,278,456,
892,474,071,826,673,999,844,697,074,418,757,115,736,581,038,911,097,230,604,
183,447,733,452,197,565,590,279,781,626,344,594,400,876,118,942,203,487,264,
333,986,836,671,930,505,722,560,139,785,710,059,495,546,344,387,379,346,242,
900,429,844,789,035,085,160,632,338,063,819,688,041,614,315,478,492,968,981,
454,914,085,777,415,233,116,582,685,897,346,258,955,212,991,240,595,563,678,
133,064,639,894,488,372,010,601,811,998,168,719,109,580,472,961,621,290,557,
617,904,116,531,790,396,488,291,358,094,732,728,929,994,774,942,143,012,024,
417,720,299,978,657,787,917,536,887,266,563,411,690,135,259,784,956,224,872,
278,006,581,005,195,663,706,190,925,518,398,053,848,079,659,854,561,201,147,
002,350,478,950,310,603,325,444,518,299,983,429,429,124,894,578,762,107,452,
850,445,504,069,324,238,236,606,875,927,963,081,379,922,337,227,146,639,452,
165,856,026,217,238,355,295,064,412,716,491,725,675,694,895,969,258,877,598,
173,337,964,033,548,691,956,831,646,328,917,903,091,237,262,245,494,695,655,
790,491,593,370,924,252,945,740,095,921,815,435,197,569,457,747,020,344,142,
829,569,511,206,404,635,432,905,611,912,537,327,542,024,555,009,540,244,505,
712,772,922,323,279,795,820,898,885,333,870,865,085,310,221,962,304,665,444,
479,534,794,186,643,186,357,134,057,235,981,502,853,783,243,049,305,638,711,
669,243,540,593,830,080,551,328,673,336,050,055,820,735,296,857,086,777,764,
637,937,882,110,004,910,185,658,147,234,061,681,853,980,578,672,189,196,358,
027,228,718,925,325,458,570,253,609,957,603,358,127,131,216,011,629,792,870,
283,759,237,943,538,119,192,667,533,579,918,951,003,802,770,945,726,321,367,
929,431,372,821,374,711,996,420,844,631,939,606,728,120,851,930,912,633,643,
585,038,772,040,388,694,161,564,842,591,593,973,734,303,009,799,599,797,343,
777,961,456,139,457,363,644,348,554,438,976,972,505,856,451,315,246,981,425,
090,545,952,438,085,577,790,906,467,713,706,520,310,942,198,802,597,067,226,
737,146,446,549,271,514,295,919,253,903,821,051,543,749,746,588,405,388,797,
612,592,121,907,969,662,912,180,307,526,087,594,952,651,227,606,284,758,191,
880,967,664,490,158,930,694,211,158,326,487,267,435,633,965,200,042,074,966,
334,392,119,228,391,403,168,867,518,352,852,763,077,766,444,026,376,947,580,
967,345,884,138,918,502,512,470,452,815,623,756,144,664,253,114,960,773,258,
867,065,261,169,430,139,709,882,640,161,786,698,358,661,670,010,320,146,496,
183,124,758,662,677,184,347,098,566,800,150,556,465,485,853,139,673,773,702,
808,083,805,992,644,461,697,950,633,999,892,280,523,003,056,831,108,136,546,
840,448,682,729,408,980,840,302,375,501,867,633,366,549,518,272,120,073,562,
553,001,002,057,965,548,854,044,961,353,418,395,085,069,429,453,160,762,989,
818,869,182,462,798,824,623,784,584,582,287,083,262,896,020,192,736,053,546,
021,922,772,008,001,514,882,845,126,262,677,927,038,045,599,050,118,530,152,
976,856,016,879,586,121,214,346,851,316,512,685,552,796,491,330,843,953,138,
970,271,921,124,632,415,256,658,538,909,423,716,065,454,520,838,768,585,625,
704,268,606,746,962,483,812,238,850,843,902,881,456,271,980,323,884,562,616,
010,848,610,777,546,790,470,982,103,285,507,169,818,679,960,705,982,263,624,
746,229,544,917,725,002,332,218,394,786,795,923,397,152,600,943,968,343,362,
199,076,365,047,562,456,101,748,084,679,753,462,542,950,843,138,156,684,002,
684,820,086,444,567,948,696,035,782,117,747,741,430,082,714,721,530,411,729,
749,307,446,614,695,374,229,315,154,885,517,284,850,921,878,699,181,064,132,
447,856,877,654,540,195,677,141,368,670,998,278,888,555,639,047,191,409,107,
734,396,005,721,409,309,299,517,302,104,409,553,840,358,678,336,616,031,087,
775,946,584,170,329,386,367,156,579,562,296,245,891,435,293,352,269,148,082,
712,047,242,155,582,851,118,312,202,329,468,521,116,488,426,951,311,986,112,
042,046,336,603,300,278,284,079,231,907,695,944,933,184,934,071,367,295,746,
001,743,532,110,342,520,488,453,669,804,607,929,963,489,461,393,869,114,358,
058,713,530,511,307,507,513,003,136,703,077,144,033,695,444,183,494,603,063,
988,782,548,245,470,849,283,050,681,799,868,623,227,888,245,267,240,594,116,
248,999,479,715,127,504,790,328,711,860,122,960,316,847,197,741,239,593,620,
225,354,975,133,041,135,186,121,226,298,369,837,504,392,628,787,776,528,962,
781,089,832,859,593,489,507,195,425,867,933,673,194,840,821,530,465,838,974,
924,117,804,348,671,343,207,335,721,224,652,894,793,751,448,605,118,775,885,
232,708,123,483,727,387,084,629,525,745,891,881,379,344,250,486,182,875,956,
547,362,803,208,007,788,032,736,023,868,462,889,149,012,452,246,254,854,443,
596,419,300,726,310,503,331,589,200,123,744,385,830,738,048,524,916,566,671,
889,941,804,192,407,549,585,724,840,203,536,620,252,087,038,440,842,686,451,
484,494,186,952,146,068,924,204,550,824,328,418,558,691,245,712,916,077,358,
882,856,859,850,923,534,237,796,760,894,183,770,752,362,504,376,935,447,473,
250,435,427,042,217,075,218,838,720,289,077,602,613,200,313,340,522,463,330,
087,934,410,805,985,087,891,908,852,881,159,630,637,621,429,567,927,572,379,
629,109,237,437,241,952,663,483,292,837,669,196,144,019,985,459,304,398,042,
278,234,807,046,393,897,761,259,317,779,764,451,200,243,792,347,326,895,741,
623,206,699,671,515,955,362,495,089,271,194,469,960,250,504,509,467,650,397,
586,528,232,128,357,907,680,950,458,569,238,003,275,286,986,575,552,394,513,
384,635,750,400,946,748,560,674,954,746,285,052,680,413,210,790,371,635,223,
341,837,730,096,643,212,509,805,625,702,966,701,544,072,256,777,002,278,778,
933,186,695,498,389,296,398,761,085,360,693,581,393,017,180,720,256,847,850,
388,956,902,171,065,254,592,512,177,173,760,221,086,744,280,975,970,227,537,
048,922,086,937,302,388,791,693,852,472,792,338,449,492,672,231,757,942,624,
358,636,505,798,313,357,588,663,172,685,351,621,368,666,527,045,339,429,258,
080,257,448,024,916,680,119,939,363,030,501,691,406,803,476,797,331,801,144,
249,571,327,210,547,851,448,961,835,825,723,691,043,010,089,600,105,276,157,
225,929,616,239,602,167,462,008,647,342,233,862,038,157,011,533,172,710,639,
541,912,539,715,591,160,279,073,364,389,807,186,059,090,416,765,621,943,044,
981,913,372,418,016,180,272,348,859,161,833,177,583,224,073,740,522,868,613,
780,509,653,874,063,232,591,524,557,342,158,717,172,442,041,455,265,737,452,
416,117,823,406,765,162,095,345,039,448,800,291,889,873,438,755,921,344,443,
446,853,511,213,789,016,909,423,172,907,938,141,588,524,572,940,949,861,217,
065,580,255,017,731,516,123,416,221,342,045,454,634,178,026,209,538,856,549,
830,288,299,045,590,672,066,126,978,144,544,564,225,867,817,711,682,968,060,
135,623,773,025,807,962,950,434,236,225,896,908,698,091,574,201,371,919,487,
648,452,048,393,098,392,881,602,002,217,004,716,614,514,213,517,294,297,572,
088,541,814,914,184,737,894,920,796,222,215,429,154,468,996,826,751,578,010,
177,829,464,140,493,448,179,835,939,643,191,958,345,087,728,912,530,453,300,
117,605,004,296,047,335,459,915,062,149,971,895,745,949,207,470,206,408,635,
411,436,811,824,993,672,566,576,320,423,322,220,329,000,198,436,812,295,836,
259,148,470,579,234,976,286,487,089,965,685,709,557,464,061,265,408,611,161,
276,553,504,248,746,727,437,691,526,002,576,823,165,977,964,704,198,866,054,
140,540,119,009,749,916,780,209,741,095,963,048,746,351,897,232,719,280,334,
884,380,069,103,643,917,306,203,028,303,745,356,203,815,309,374,303,037,294,
054,562,669,854,025,692,316,337,226,850,205,593,242,338,932,849,604,244,913,
597,780,386,784,433,728,839,832,870,880,087,420,802,436,852,474,249,037,744,
040,021,233,775,599,432,810,493,422,860,680,150,997,603,540,139,690,773,249,
844,891,600,270,223,045,182,618,374,221,223,257,302,437,379,374,094,007,353,
386,941,568,431,999,575,114,275,610,514,248,097,257,462,150,549,014,271,630,
803,240,512,303,446,245,030,504,164,724,242,180,790,500,359,770,487,076,805,
744,661,835,558,523,377,548,383,089,312,376,032,927,515,254,232,831,847,886,
800,410,121,843,811,499,434,682,477,372,673,731,334,064,670,249,835,911,954,
914,376,178,815,019,624,462,269,903,172,821,883,801,870,943,200,439,807,559,
998,632,858,168,531,805,222,847,070,200,812,615,266,667,653,511,612,577,782,
809,338,783,731,493,611,204,965,131,147,238,356,439,684,830,777,861,820,119,
891,328,105,837,328,305,753,191,275,238,867,627,909,672,122,230,596,615,584,
270,064,858,463,976,455,060,542,830,327,565,117,422,165,288,538,034,747,254,
409,329,008,192,012,514,583,315,937,338,013,610,553,608,520,793,086,084,820,
705,103,276,549,699,791,207,469,633,668,627,212,754,194,533,167,964,481,545,
490,180,188,957,043,478,161,367,458,707,105,530,163,413,224,637,908,910,557,
058,616,098,683,644,838,784,977,002,661,974,788,203,060,942,411,765,725,310,
428,819,067,859,663,525,491,380,754,270,096,772,695,442,176,102,809,154,524,
620,165,085,822,758,591,206,885,346,482,435,964,010,264,060,596,484,223,468,
562,548,399,264,099,713,772,877,024,859,162,353,046,970,935,242,700,391,117,
628,659,440,674,666,567,506,957,468,359,595,012,442,543,690,113,173,060,827,
999,796,629,644,378,181,032,092,732,754,612,295,623,487,921,065,848,069,509,
660,202,240,424,486,944,312,287,504,697,177,243,194,189,274,997,708,411,630,
246,321,716,309,167,760,469,860,489,245,111,389,225,943,486,637,261,351,144,
184,135,846,335,148,745,283,227,210,210,179,540,903,305,367,172,538,091,757,
621,628,876,690,527,851,472,212,445,444,608,525,618,139,517,837,793,105,933,
084,270,110,309,292,236,586,033,917,710,867,751,236,565,643,082,996,480,645,
888,029,768,036,320,009,950,165,499,570,165,880,320,616,996,581,307,784,625,
862,776,487,513,999,752,940,218,305,445,902,306,459,584,221,295,955,789,723,
375,039,098,468,702,271,948,030,587,224,263,732,739,775,198,872,121,713,123,
886,302,789,383,640,367,281,351,856,254,575,988,711,023,494,062,215,016,925,
160,595,278,611,249,541,640,405,487,801,026,982,133,381,692,710,851,053,346,
846,854,463,602,110,086,320,673,952,531,825,084,544,787,123,956,710,999,608,
802,425,731,681,198,612,701,733,571,029,984,171,596,281,657,189,351,672,211,
456,529,682,489,852,000,837,276,389,687,827,425,410,871,020,889,716,016,677,
598,754,083,642,478,612,047,100,643,944,960,872,726,495,750,880,989,101,251,
817,860,711,071,477,696,944,337,671,676,461,369,087,081,136,670,899,984,172,
189,360,226,627,421,306,789,318,951,334,834,086,776,360,214,616,709,099,175,
912,795,937,627,151,533,187,331,899,522,256,227,449,179,661,003,598,683,946,
584,428,014,920,790,192,932,019,280,510,502,607,269,785,511,800,973,932,157,
786,231,072,196,356,521,821,096,184,020,403,448,095,712,303,573,754,600,997,
875,786,131,888,740,461,165,510,000,949,630,785,625,337,200,994,141,574,005,
293,584,739,909,830,917,212,756,222,025,470,732,543,464,571,290,750,481,340,
834,646,004,511,608,207,076,046,073,933,942,786,860,069,791,543,325,953,152,
323,236,031,392,815,586,237,501,004,323,645,748,468,178,174,773,331,500,082,
871,415,133,791,608,176,708,529,946,382,876,765,924,115,258,193,500,670,502,
667,874,258,737,475,055,970,589,538,782,528,434,773,078,642,613,008,716,341,
838,352,359,032,987,240,788,254,056,039,938,419,054,263,546,818,875,782,124,
804,020,467,417,985,109,729,420,608,497,095,262,425,144,802,589,976,088,336,
978,753,213,014,828,705,756,321,675,559,121,193,715,215,967,005,516,545,390,
714,121,477,380,768,699,356,119,967,901,574,753,889,635,133,563,716,588,830,
713,837,480,812,726,970,497,151,489,502,836,602,941,458,868,754,734,344,262,
514,134,175,433,268,459,723,042,497,912,063,538,090,194,523,786,548,575,470,
053,459,815,645,903,555,156,465,272,384,414,962,648,484,654,119,200,201,856,
904,410,430,386,978,964,098,527,411,879,627,492,564,714,587,602,652,297,230,
965,985,203,554,811,939,546,475,993,056,111,776,131,612,616,171,985,042,526,
659,376,776,011,751,355,162,386,351,461,987,757,236,131,287,166,138,574,120,
913,884,130,863,192,880,402,820,073,661,419,393,395,959,892,656,910,314,386,
013,716,247,296,284,295,987,677,296,832,556,924,631,026,129,227,771,375,445,
729,301,000,032,809,082,576,349,876,999,380,863,858,517,479,687,202,918,540,
825,994,903,806,553,543,447,544,022,341,300,023,655,319,648,374,212,078,863,
247,414,075,724,069,697,654,247,746,051,143,165,902,299,229,526,412,611,737,
627,749,876,635,775,134,460,076,166,343,441,004,033,860,614,817,234,364,648,
780,742,485,726,450,317,301,062,669,487,743,029,598,586,969,927,298,166,034,
847,163,787,298,052,404,982,741,983,235,467,393,575,607,563,613,062,687,523,
031,782,686,655,925,176,253,390,846,276,082,757,999,612,044,291,962,032,008,
562,369,832,196,739,834,458,710,188,626,942,851,754,672,815,005,660,846,093,
822,735,568,474,741,289,111,785,223,018,976,309,067,353,203,096,632,765,575,
887,284,752,704,151,047,536,741,408,198,274,897,419,761,815,261,941,567,696,
504,958,263,152,778,229,642,891,198,257,282,454,026,026,052,747,557,313,318,
775,288,725,632,759,978,557,286,254,669,594,264,302,059,360,485,367,366,047,
691,007,154,385,621,495,684,601,937,406,063,287,279,492,897,871,003,723,066,
545,584,013,526,847,990,656,603,389,143,159,259,604,698,717,818,881,815,048,
717,678,675,039,565,083,189,454,170,871,561,690,370,975,633,433,708,465,748,
420,946,174,861,857,566,187,749,508,942,308,111,625,224,873,197,074,409,560,
168,483,410,701,302,775,550,978,459,836,932,382,008,678,475,160,369,806,469,
318,346,577,020,267,245,823,357,280,607,827,469,413,288,258,761,829,764,611,
507,487,688,660,373,297,180,847,327,706,256,972,908,433,254,393,138,460,918,
343,064,973,425,950,922,268,038,448,081,868,499,391,285,984,391,466,184,339,
254,582,091,357,569,818,543,639,409,682,923,124,750,719,585,260,948,051,182,
378,496,359,107,614,172,029,506,157,074,919,818,775,137,959,313,551,410,347,
849,367,540,425,648,907,925,465,144,186,847,820,872,350,836,969,762,224,922,
619,344,265,972,145,028,303,353,879,500,707,201,271,133,235,764,709,166,209,
917,120,735,913,641,405,345,677,425,726,422,775,169,718,163,668,211,727,442,
031,243,419,445,057,366,127,234,659,416,660,869,032,252,146,157,023,351,806,
987,877,204,586,554,190,558,828,826,454,541,144,299,802,145,516,114,171,170,
319,570,572,634,993,904,181,096,404,807,797,731,612,960,391,807,013,733,648,
778,416,491,892,152,378,048,398,012,624,979,273,142,467,838,974,809,724,620,
229,364,508,245,299,307,807,520,762,028,234,621,865,666,222,971,854,672,255,
110,619,689,917,774,753,683,501,567,091,308,191,062,481,102,913,143,901,201,
759,424,938,891,851,863,444,883,427,295,284,246,484,329,824,365,222,092,911,
405,129,431,206,653,119,228,135,821,154,789,021,262,752,557,660,268,292,423,
067,843,356,908,326,638,777,244,073,235,225,131,251,406,394,995,395,416,279,
900,945,165,563,222,298,258,303,253,462,302,275,549,522,355,580,377,870,203,
687,079,436,700,752,839,732,788,408,391,655,553,282,949,129,901,437,459,629,
613,962,022,960,390,203,345,422,372,894,281,619,311,040,666,775,993,647,023,
240,846,548,514,958,289,216,540,313,313,768,824,976,741,161,936,493,512,744,
502,175,000,191,643,030,697,884,170,701,925,309,535,198,804,273,036,712,762,
639,471,703,386,676,914,853,019,717,733,909,583,918,383,656,537,470,055,011,
363,943,526,443,460,111,693,693,448,330,638,832,766,955,925,152,450,532,591,
083,743,821,659,270,736,587,759,134,768,430,246,024,409,437,647,414,471,219,
586,771,023,552,317,537,450,594,216,396,299,465,038,807,695,204,949,971,056,
327,761,306,937,970,519,891,470,543,813,912,792,069,825,631,985,406,685,004,
259,827,187,564,602,031,999,185,606,566,395,983,568,098,238,619,762,510,518,
346,378,089,607,429,628,734,762,319,066,536,011,401,250,195,589,008,360,897,
124,398,056,408,204,645,300,901,289,152,727,095,277,220,452,736,525,198,152,
130,971,581,815,880,761,881,604,149,674,231,364,969,294,767,239,060,715,652,
458,811,653,698,653,967,912,585,657,952,534,553,599,582,369,384,261,382,018,
414,161,109,170,724,320,294,466,272,998,337,168,820,735,360,849,555,823,657,
059,210,526,392,054,673,218,702,129,991,309,163,991,132,680,821,999,211,575,
427,232,981,888,895,519,699,362,266,332,947,106,194,202,062,941,137,380,882,
558,780,226,921,170,211,198,543,052,525,693,155,930,038,105,736,181,534,180,
551,306,989,973,174,374,264,469,224,013,480,774,445,981,636,583,714,662,459,
354,874,207,218,696,521,909,606,337,334,893,116,579,732,905,733,991,339,020,
457,385,671,941,139,030,718,676,064,385,029,485,551,647,776,892,063,462,871,
492,317,524,049,984,752,790,108,525,774,384,327,256,666,168,141,791,530,968,
102,569,957,565,447,192,710,655,053,057,645,239,285,260,016,089,768,827,372,
982,717,145,865,151,286,368,705,553,667,033,245,522,432,745,421,086,857,154,
731,117,870,824,063,564,743,420,459,688,451,718,854,547,951,786,663,078,896,
255,750,323,225,987,100,198,925,704,788,919,591,068,716,423,152,775,231,362,
914,756,321,784,272,849,110,139,738,512,782,941,826,858,995,816,083,828,805,
818,760,484,872,393,682,836,964,851,966,205,877,510,460,666,563,508,011,608,
024,807,071,729,770,942,023,374,541,053,094,597,796,454,186,070,486,032,592,
629,304,868,850,191,924,419,841,345,647,886,266,371,075,638,499,786,978,572,
284,245,384,563,953,451,815,735,931,416,661,078,097,193,322,644,738,381,323,
961,104,745,450,204,101,798,965,834,570,223,627,037,839,075,886,319,176,605,
457,878,535,485,569,510,268,286,967,006,160,892,991,298,692,478,622,617,436,
674,666,813,157,265,793,627,655,334,632,654,520,466,920,128,828,316,537,406,
633,578,988,840,520,258,447,145,914,917,871,536,381,304,995,996,943,332,609,
085,276,418,850,775,647,744,300,955,778,806,450,980,606,547,807,595,864,995,
653,957,334,175,649,840,186,808,417,046,409,644,001,381,513,117,958,740,214,
616,507,007,265,607,033,574,625,464,268,639,573,538,692,768,484,548,067,637,
890,121,435,241,814,739,013,201,054,543,993,702,508,284,443,079,785,863,898,
366,350,277,251,776,441,860,921,981,330,128,688,910,246,161,743,202,665,581,
861,250,529,056,615,192,026,380,570,528,662,114,883,771,231,058,063,111,774,
372,044,403,848,117,927,719,783,734,761,308,531,153,679,665,141,839,627,126,
426,846,950,757,083,283,847,513,156,215,189,265,729,997,626,402,234,879,718,
659,666,965,802,453,910,083,611,644,443,179,775,218,761,262,896,261,888,220,
944,371,368,705,891,102,633,046,297,266,578,892,287,681,002,492,303,409,734,
256,373,670,547,457,989,145,800,700,898,261,996,973,319,545,363,666,492,337,
034,510,893,179,129,820,335,916,428,026,169,262,860,876,291,657,685,833,542,
676,285,207,415,266,971,254,666,343,705,448,332,886,138,395,584,171,208,408,
879,419,455,199,558,490,603,654,582,716,124,794,944,771,315,028,783,083,080,
725,961,283,115,051,739,530,157,996,686,659,809,163,402,107,443,365,774,962,
651,347,740,443,931,676,383,276,218,944,098,516,065,357,713,521,921,341,116,
105,319,169,900,819,878,573,489,717,584,042,132,896,442,346,248,549,774,758,
611,737,855,147,170,836,080,029,373,789,370,435,306,324,284,417,239,578,511,
760,504,950,461,946,249,992,353,634,682,238,591,828,525,518,809,475,261,255,
374,909,865,381,565,521,001,833,653,609,638,596,853,375,902,402,891,900,419,
145,131,218,706,728,852,599,959,671,296,109,055,106,189,109,767,400,864,548,
434,647,008,558,697,128,271,966,339,940,124,127,942,666,995,565,510,121,624,
172,749,397,769,527,466,476,781,002,190,679,028,068,768,801,551,533,696,019,
549,114,368,551,623,382,640,630,626,818,215,557,666,941,399,297,450,124,263,
115,617,254,234,022,283,192,910,526,863,678,451,721,426,836,804,389,474,977,
122,128,461,803,071,151,670,343,932,748,639,993,284,476,441,881,470,152,102,
995,749,273,236,247,762,700,124,552,731,180,100,989,223,726,499,439,269,175,
771,972,720,770,352,311,292,709,792,799,375,142,895,752,032,241,517,558,113,
374,703,010,696,594,271,186,401,419,131,965,343,494,454,388,239,548,509,787,
227,871,613,002,436,630,411,775,305,519,554,909,094,739,501,624,003,495,857,
885,504,092,001,578,334,041,282,556,142,225,558,264,818,915,059,057,498,983,
397,403,074,063,442,791,888,869,940,109,954,937,071,970,733,634,905,102,382,
360,297,828,671,936,488,112,712,345,202,626,921,502,109,777,421,556,908,114,
648,294,782,285,141,191,595,841,025,225,924,034,278,016,097,081,001,996,871,
006,864,706,147,608,948,788,601,289,264,852,529,970,846,764,224,097,370,164,
054,405,132,484,584,334,126,460,772,103,171,045,960,822,018,768,325,878,324,
345,949,053,737,914,858,749,156,942,830,830,622,888,164,221,691,332,880,728,
673,882,395,304,924,497,152,630,858,572,609,102,792,650,621,909,543,171,349,
444,611,084,948,031,449,632,814,191,372,742,424,188,309,914,077,874,059,225,
794,512,999,556,033,102,275,742,489,044,713,073,706,266,256,700,736,555,960,
348,699,528,675,198,093,981,772,756,427,460,906,338,298,744,765,498,233,548,
614,776,318,427,336,972,635,408,385,504,229,826,404,650,255,297,277,423,422,
078,663,471,810,514,477,127,082,989,468,818,360,301,648,889,871,811,380,070,
742,058,035,602,674,317,395,171,000,826,260,266,997,017,976,563,274,166,532,
363,420,710,657,886,974,090,761,761,462,150,132,332,814,139,105,355,297,861,
675,450,768,391,199,109,539,630,060,652,092,037,116,044,756,959,317,401,675,
838,701,620,833,758,198,545,901,036,919,218,812,857,279,889,978,260,855,054,
659,599,018,959,088,996,464,956,164,679,245,470,193,468,659,610,680,937,689,
570,661,432,882,106,546,147,937,421,885,510,904,322,431,236,460,791,095,468,
675,120,757,096,422,080,420,823,284,710,517,403,652,566,701,853,276,110,565,
119,344,543,654,333,165,019,974,424,688,164,551,765,190,196,947,848,185,948,
925,683,657,717,111,996,791,705,389,927,601,151,651,660,692,089,113,378,527,
525,010,912,658,420,810,249,045,819,870,331,258,690,805,316,274,348,648,057,
751,934,852,524,202,389,458,408,441,904,159,596,962,458,299,835,939,962,511,
393,718,109,342,856,139,671,063,385,662,581,760,274,324,192,011,224,343,357,
912,532,568,335,388,580,432,924,806,397,367,418,264,541,543,305,764,334,420,
442,659,171,560,655,091,657,057,013,230,702,458,413,173,513,395,243,577,930,
240,629,302,949,860,332,971,750,048,351,319,839,812,405,848,072,551,063,732,
229,973,385,613,324,099,353,660,325,552,386,302,951,535,575,237,757,359,151,
554,787,196,585,230,505,603,093,455,145,684,753,519,136,335,882,964,798,256,
933,706,938,988,522,410,851,593,930,344,596,362,317,700,200,182,472,165,989,
494,118,447,515,666,346,438,768,853,740,207,382,951,919,275,267,351,110,661,
084,766,430,469,791,264,845,195,807,031,347,846,881,278,374,450,055,770,349,
685,773,317,938,372,697,353,573,076,760,825,497,658,268,492,902,149,784,478,
951,196,812,225,261,475,368,440,041,499,652,486,507,510,090,867,700,682,214,
443,592,253,285,333,904,197,549,702,099,567,774,494,092,239,981,527,604,580,
940,017,486,263,928,358,503,192,189,951,150,379,929,438,391,279,624,774,386,
807,170,414,021,250,782,885,630,685,695,256,999,084,023,330,174,674,374,410,
939,266,312,401,619,562,469,838,442,770,176,309,480,163,800,038,510,892,106,
918,280,778,701,871,102,256,009,943,965,030,323,676,853,677,122,181,269,944,
329,302,961,247,530,557,141,762,436,186,391,894,889,128,686,215,366,266,279,
415,120,899,441,571,119,733,094,954,561,775,537,479,668,307,524,594,327,887,
201,119,282,295,875,683,536,688,106,954,630,860,773,313,442,556,301,952,239,
929,484,570,389,546,557,331,120,174,375,459,463,498,074,244,853,399,641,141,
011,432,704,753,659,643,880,054,150,128,368,887,363,883,971,410,392,709,924,
372,277,779,241,475,601,683,633,210,319,818,062,389,565,355,314,251,167,840,
469,658,851,189,777,442,875,624,673,841,492,630,488,850,745,250,209,136,459,
765,602,405,453,759,328,109,546,599,004,185,000,984,932,475,068,722,297,471,
971,255,952,981,602,231,261,567,695,513,401,051,929,218,099,906,918,050,308,
502,832,440,858,376,281,381,104,907,971,290,248,552,788,346,397,954,971,363,
473,557,587,316,484,117,277,601,252,258,311,049,356,211,102,992,003,006,787,
924,151,204,173,634,747,153,771,469,897,598,511,847,534,449,732,032,141,552,
102,890,922,307,442,529,365,398,363,304,879,896,384,649,546,976,331,150,972,
909,430,563,610,318,947,196,991,947,435,494,514,654,193,532,525,654,213,639,
458,217,231,434,192,834,461,641,741,980,842,553,506,831,017,899,591,383,224,
188,642,940,460,271,867,548,469,716,576,231,415,455,675,909,726,276,407,553,
303,641,133,875,904,180,894,013,513,913,647,841,109,254,128,191,849,935,891,
260,842,247,079,727,321,786,780,614,062,471,007,022,751,326,317,670,499,441,
471,559,881,048,019,246,466,515,514,010,481,240,432,368,540,970,492,053,131,
065,617,176,494,864,505,017,759,588,800,159,354,148,195,718,379,991,933,659,
767,814,650,310,628,608,374,981,543,219,579,323,161,580,812,957,560,119,447,
343,348,840,145,193,139,044,263,556,936,125,820,702,992,474,998,807,701,238,
438,375,136,684,488,858,268,261,872,888,882,334,335,383,815,114,731,959,357,
911,479,947,800,016,032,317,243,907,665,006,452,703,893,799,086,810,710,594,
295,073,327,477,482,827,748,403,502,573,696,849,353,516,635,452,479,555,420,
440,226,316,517,083,710,055,650,390,186,976,202,512,749,047,424,572,716,223,
009,264,956,484,888,690,694,167,702,825,534,061,241,690,743,702,021,299,113,
209,660,596,942,250,320,475,312,350,122,081,400,703,745,469,324,344,390,862,
379,185,237,466,270,366,703,047,270,343,066,433,492,894,497,757,703,666,338,
146,975,683,826,164,536,698,957,372,085,741,091,915,664,740,457,805,767,520,
651,596,590,571,547,702,673,937,530,843,491,292,573,161,239,348,084,739,213,
820,298,868,811,072,832,139,478,446,297,708,124,038,301,921,675,319,735,670,
592,035,460,116,529,464,413,737,202,885,929,680,307,045,048,675,443,174,879,
354,627,848,336,754,793,578,750,471,962,432,266,456,947,334,668,426,507,653,
323,638,097,554,188,256,445,569,435,464,160,647,391,054,145,762,711,058,886,
444,651,450,767,032,990,427,618,624,089,569,877,435,178,582,960,163,388,270,
748,263,705,188,724,873,608,823,540,031,838,296,637,954,207,234,730,702,968,
971,845,424,087,159,956,855,923,040,179,283,820,186,125,011,396,692,046,034,
360,246,288,853,810,441,438,065,468,607,929,475,420,469,711,331,469,355,872,
524,789,269,630,412,143,096,409,394,117,725,229,703,455,958,502,956,134,173,
354,670,713,882,405,635,176,147,937,399,194,853,450,958,997,708,905,923,932,
483,841,932,990,874,742,599,085,616,496,989,150,171,222,467,254,355,607,851,
236,654,142,661,767,818,519,857,849,265,793,141,563,692,585,750,781,131,039,
892,050,924,157,197,225,965,489,003,877,569,036,595,440,883,428,416,571,235,
372,746,193,230,180,321,127,878,578,721,895,717,210,007,309,136,445,065,819,
485,441,897,112,709,980,887,223,105,140,314,186,732,904,696,803,366,356,047,
022,108,809,713,741,100,169,658,798,258,328,489,572,259,048,715,216,399,230,
173,144,919,800,831,561,623,424,115,902,621,998,073,391,505,642,137,965,003,
331,748,550,581,681,868,765,607,738,278,901,467,812,888,361,725,689,341,419,
063,652,324,767,119,525,154,132,358,386,136,624,682,193,683,918,502,115,817,
621,220,492,007,899,163,053,200,940,107,366,117,795,808,659,137,258,693,746,
150,473,533,368,573,333,803,701,476,020,106,145,216,865,333,201,753,239,392,
998,332,159,331,280,663,903,948,691,088,711,529,571,579,075,759,963,938,081,
103,696,861,872,692,287,542,043,300,626,828,015,651,267,083,193,007,944,541,
659,926,082,997,154,323,512,471,058,941,919,493,333,200,852,794,387,642,843,
857,495,999,890,404,042,781,711,869,068,421,557,399,665,350,689,231,018,802,
124,157,906,765,284,596,907,230,395,836,911,863,391,413,823,060,558,779,229,
229,396,568,476,537,808,272,497,667,997,471,216,482,365,847,350,077,370,833,
104,874,138,109,377,649,309,107,119,144,272,416,300,306,171,956,350,286,362,
829,506,771,688,875,131,564,990,712,421,401,446,873,382,309,659,944,199,105,
872,603,935,018,026,391,574,912,812,571,381,681,707,341,688,748,465,883,636,
589,394,491,106,221,277,073,028,299,875,956,015,240,288,389,170,029,933,505,
006,331,940,626,167,178,564,511,266,113,838,513,347,343,363,063,992,591,252,
579,150,668,922,677,281,782,623,185,843,445,263,312,889,513,577,056,226,303,
364,210,732,491,075,102,406,769,609,238,315,607,415,511,997,434,210,515,700,
396,222,782,058,300,888,656,014,388,347,918,126,195,055,741,607,417,129,970,
816,329,507,902,783,328,522,158,023,237,253,173,155,376,581,115,170,807,432,
423,004,224,856,490,322,653,219,514,317,318,863,455,135,936,806,008,697,580,
384,723,736,637,503,020,737,989,478,180,695,666,459,734,722,045,038,983,223,
868,987,678,028,626,217,672,110,302,019,846,157,627,055,674,362,253,086,712,
841,824,464,782,533,468,162,310,157,515,656,860,863,766,982,670,662,424,265,
661,051,595,004,800,779,868,325,940,946,999,124,996,059,530,914,002,748,424,
858,134,651,686,184,013,610,019,767,872,256,351,045,049,969,032,033,613,556,
784,796,389,481,835,074,720,417,457,747,674,448,419,700,004,942,014,025,304,
196,950,459,044,175,755,555,960,934,197,993,260,978,454,416,546,825,691,423,
765,756,890,061,757,331,274,227,265,248,843,049,997,176,957,277,090,068,761,
912,649,522,960,415,536,349,564,735,058,551,891,071,260,293,248,242,180,592,
701,017,899,075,064,423,987,828,547,880,421,647,422,089,491,119,854,966,889,
304,793,241,247,490,542,538,744,491,094,978,896,269,581,895,396,368,297,633,
015,408,475,848,820,579,379,147,529,597,572,493,962,445,989,633,797,030,302,
345,129,074,731,302,175,960,788,245,727,247,784,283,318,800,265,896,794,178,
832,830,033,988,313,112,895,649,979,650,464,798,154,337,872,969,313,477,961,
833,392,825,166,279,874,231,783,736,831,199,868,478,842,878,207,825,848,481,
235,724,750,228,523,093,531,619,256,387,059,026,627,452,819,463,221,343,346,
026,790,079,170,970,280,052,250,714,934,897,774,997,463,217,214,214,764,196,
920,372,285,426,315,129,389,777,484,686,148,769,013,073,987,877,458,633,904,
683,102,948,689,601,216,527,175,758,095,857,598,861,354,636,401,758,192,007,
193,164,253,576,978,276,676,057,352,077,007,564,800,858,987,611,933,403,133,
986,287,113,973,763,153,298,179,269,366,808,112,125,690,846,471,756,852,301,
887,600,056,207,350,470,291,789,670,237,478,188,597,932,752,615,621,195,009,
235,591,986,041,639,781,791,052,868,455,108,588,987,257,376,130,480,870,736,
256,611,121,238,636,561,360,614,092,444,927,573,591,527,745,583,740,809,542,
640,274,475,064,938,336,102,858,741,995,154,404,517,994,849,708,783,640,302,
747,898,535,457,413,787,454,997,221,392,834,891,156,743,644,412,627,211,923,
018,877,077,654,775,901,806,450,925,408,391,414,682,245,910,703,830,871,314,
262,647,232,649,537,702,769,215,331,940,061,351,201,151,902,121,648,962,289,
864,430,394,341,707,563,187,630,878,297,598,515,577,583,773,133,373,592,520,
701,071,510,884,326,536,777,234,772,403,308,209,616,429,832,237,004,699,122,
082,570,995,446,318,332,642,458,527,537,362,172,901,355,569,479,814,017,419,
312,424,266,603,654,647,467,340,386,034,594,842,277,793,504,764,736,228,240,
028,543,217,185,749,146,394,369,004,693,542,710,962,145,128,926,622,468,183,
737,018,917,242,326,472,335,036,071,569,530,806,147,940,315,918,648,221,649,
206,702,121,260,530,217,344,121,666,496,256,454,153,139,036,290,809,849,032,
114,377,504,127,066,038,066,558,738,126,557,174,440,902,687,868,552,937,792,
246,120,563,101,430,711,304,413,494,084,424,999,899,994,724,705,112,121,222,
428,068,283,009,658,652,657,525,525,092,951,651,305,310,086,163,604,839,366,
402,260,867,406,918,440,732,792,618,031,688,930,159,339,296,762,826,263,406,
181,736,051,200,447,116,889,808,391,657,698,581,234,564,099,619,639,218,585,
751,659,032,193,635,930,651,237,515,960,684,598,141,402,083,662,783,204,277,
942,206,050,818,159,107,319,121,137,592,035,771,063,907,330,793,294,939,202,
065,645,088,486,826,135,844,777,081,500,549,438,660,191,858,308,647,376,146,
025,642,958,889,420,932,436,754,414,671,013,300,157,623,058,136,421,788,087,
719,426,992,344,375,168,981,967,795,573,617,694,475,547,197,728,616,334,948,
750,060,694,849,055,908,000,031,090,597,584,486,874,598,702,575,334,873,369,
462,432,643,056,235,283,025,308,227,392,782,875,229,259,942,110,526,036,723,
584,853,732,463,264,194,678,498,766,163,055,265,170,570,197,776,508,529,530,
518,895,364,887,718,263,597,482,332,015,510,488,871,184,758,394,671,971,606,
552,192,661,753,496,881,880,067,602,121,002,739,886,525,638,905,835,223,916,
865,100,910,781,203,368,516,324,422,250,285,674,700,784,181,132,242,042,274,
532,147,558,940,377,422,747,209,916,937,582,022,076,332,535,988,082,947,052,
701,276,687,483,273,954,672,870,813,118,852,136,897,443,631,481,595,142,913,
513,174,716,575,879,627,833,517,811,472,174,093,987,907,078,669,729,733,026,
160,371,340,035,958,361,812,994,480,938,364,057,403,039,132,871,203,702,999,
702,987,009,690,958,417,797,965,710,471,376,143,387,988,796,533,185,233,145,
407,979,344,172,102,840,026,804,328,838,695,947,916,755,410,055,754,205,541,
026,524,486,138,654,709,179,379,008,583,217,499,805,526,447,343,952,316,061,
006,216,946,126,915,928,100,133,743,428,109,084,436,025,490,148,294,456,433,
956,423,157,573,200,511,352,987,556,823,859,228,862,128,732,024,331,485,537,
664,771,916,131,648,935,650,975,060,110,258,985,585,040,226,328,506,984,377,
288,401,711,098,530,752,886,963,649,314,316,652,844,280,892,501,608,349,647,
509,686,696,989,599,620,078,854,640,203,409,738,327,857,360,850,095,910,636,
758,806,540,604,673,046,078,680,960,868,875,112,209,155,088,676,390,318,652,
238,295,032,709,161,085,954,647,818,324,583,094,998,684,928,185,770,335,220,
059,643,024,418,267,384,727,534,308,479,439,531,806,726,192,110,780,050,343,
790,504,427,150,605,288,672,310,201,876,636,964,207,732,436,239,595,991,364,
454,608,762,296,757,796,410,656,935,956,972,618,260,876,767,651,557,608,652,
221,145,716,985,797,450,151,683,502,062,512,311,931,801,948,544,597,771,902,
820,570,869,213,480,386,023,155,017,165,887,083,622,699,986,459,248,968,754,
485,247,960,360,476,366,310,013,615,520,943,842,287,517,220,944,075,707,484,
112,948,450,429,764,005,833,837,623,696,026,986,844,460,644,778,396,023,429,
480,360,119,532,515,980,884,783,270,079,924,967,453,239,867,127,498,671,410,
720,147,458,635,944,883,750,792,301,820,508,276,125,081,960,689,113,136,163,
132,298,375,751,204,926,186,591,448,808,887,478,503,491,824,441,169,212,074,
666,332,282,843,888,845,341,316,084,110,858,742,217,252,321,239,872,980,274,
582,703,977,060,403,259,368,419,272,888,651,921,684,206,287,105,927,930,668,
404,869,694,591,082,776,863,163,300,938,752,933,692,920,437,553,505,401,082,
694,846,124,512,613,149,074,057,306,269,902,158,520,539,714,459,889,711,781,
941,154,196,228,129,436,369,968,047,185,000,767,882,342,938,499,512,318,690,
879,453,879,021,400,617,395,391,643,678,988,872,844,191,177,153,444,417,622,
056,775,773,846,703,535,190,328,713,396,873,288,691,662,283,398,918,568,088,
889,393,758,954,126,439,810,945,582,335,740,290,793,012,583,574,629,190,226,
915,668,350,189,693,365,767,169,143,252,200,215,286,113,899,424,577,873,002,
039,456,647,028,058,198,996,838,211,131,583,813,622,924,986,777,511,086,038,
555,878,990,628,324,134,211,992,689,753,648,847,576,526,170,861,825,158,458,
827,398,504,224,676,572,012,269,503,086,198,529,974,810,293,353,410,620,151,
728,581,253,600,114,999,675,386,720,417,923,110,514,005,396,416,657,263,959,
201,939,634,963,947,316,595,380,055,391,978,536,116,064,649,526,184,340,088,
013,526,980,856,900,270,971,045,615,312,558,165,182,938,560,404,364,734,314,
348,337,278,034,599,316,601,294,827,795,128,088,391,061,219,557,128,414,784,
272,380,882,345,362,865,561,755,381,522,680,567,906,068,875,285,453,034,171,
934,985,182,701,145,242,789,311,750,747,725,323,145,833,886,736,942,843,331,
076,270,508,593,740,580,000,895,693,709,589,629,288,251,466,979,934,119,253,
087,124,786,323,337,905,976,136,571,678,806,092,932,162,054,355,109,304,280,
078,002,376,771,382,966,593,990,479,835,472,775,540,749,615,459,983,317,784,
409,910,598,172,203,543,459,981,551,708,125,428,342,471,591,391,117,267,482,
106,430,436,541,042,174,159,841,719,983,240,323,221,533,942,252,597,667,305,
513,537,936,479,635,068,990,687,393,692,333,324,743,184,020,459,965,988,185,
467,854,505,799,168,938,768,689,467,028,956,125,810,582,914,438,917,195,267,
974,689,283,522,350,918,030,605,046,938,033,525,035,825,462,046,110,746,664,
446,595,786,083,107,888,391,326,642,366,480,321,720,231,133,269,708,140,094,
270,529,806,027,174,832,026,575,496,777,742,740,701,544,363,989,320,236,716,
601,900,247,697,931,252,380,905,465,829,140,150,580,051,092,932,093,597,406,
721,992,302,653,134,046,454,860,180,015,948,437,825,477,944,905,126,356,562,
937,445,122,507,927,173,879,374,781,808,240,279,652,972,982,605,685,561,039,
817,740,657,875,679,523,443,397,800,521,954,192,562,539,796,256,079,634,973,
112,835,158,244,246,932,777,231,615,962,805,246,580,539,449,109,200,893,458,
634,082,270,959,732,339,206,642,877,053,180,702,742,307,063,418,224,755,956,
983,146,881,811,164,927,302,007,898,582,439,854,137,097,372,188,606,731,713,
404,680,843,999,457,247,709,807,021,431,529,332,062,090,291,217,898,626,595,
557,115,859,545,545,874,764,432,078,124,605,185,877,287,399,607,557,191,790,
133,542,009,088,792,472,941,178,925,130,282,567,311,494,883,061,897,752,600,
848,009,091,653,917,440,958,866,682,731,179,287,589,961,550,995,824,085,204,
946,391,112,319,537,225,139,958,292,501,609,156,538,338,633,206,603,533,742,
636,229,868,498,470,989,588,869,257,970,696,218,830,813,899,687,527,074,782,
847,088,301,748,567,741,047,986,840,098,925,757,734,900,063,847,115,411,286,
707,857,699,938,428,195,606,017,069,973,500,859,720,658,032,683,030,786,289,
593,766,326,286,947,509,135,423,506,498,864,319,234,610,357,075,281,706,296,
575,114,638,805,647,251,743,211,244,180,807,905,727,281,270,019,442,283,623,
404,684,702,810,828,930,709,348,773,311,071,934,712,205,936,058,985,517,479,
083,227,223,340,685,280,577,322,687,092,876,098,794,129,185,759,061,426,610,
566,192,499,822,229,807,558,712,944,822,686,895,402,522,569,870,411,572,543,
483,505,265,591,627,714,310,539,438,399,780,937,839,965,877,626,337,761,446,
181,376,508,911,535,199,282,480,001,988,012,562,934,241,721,276,971,517,002,
869,422,462,936,069,052,689,255,581,308,238,645,615,302,156,106,297,430,474,
189,127,451,395,083,428,454,689,220,660,596,845,009,506,465,983,263,249,159,
047,357,311,024,320,193,570,305,667,216,704,801,273,749,944,938,896,018,723,
120,555,187,962,573,813,061,809,621,898,642,489,493,917,509,399,011,751,515,
896,230,493,657,862,338,422,115,107,836,486,441,973,618,461,273,278,061,280,
349,340,074,508,255,645,780,301,910,809,323,243,223,086,580,143,146,092,632,
998,496,691,780,171,692,324,317,878,498,877,099,049,671,038,999,158,384,845,
782,745,696,947,952,781,591,077,160,422,688,822,407,609,783,514,284,694,129,
683,172,436,834,025,437,363,649,931,854,489,650,009,182,903,542,475,203,683,
839,932,791,840,360,140,508,172,273,252,310,079,643,195,612,906,848,796,321,
315,662,275,800,699,705,785,800,058,693,859,113,033,986,116,063,048,972,330,
095,545,021,219,780,743,366,029,436,947,724,008,271,093,787,088,794,798,115,
957,463,712,346,648,434,840,340,051,399,952,269,109,621,280,098,426,627,479,
545,274,913,959,401,026,992,419,689,149,306,529,140,453,818,120,142,456,575,
350,467,016,392,374,031,282,079,337,287,073,144,540,055,658,418,747,243,755,
633,520,532,547,881,203,598,505,306,846,944,133,837,236,911,033,212,662,490,
579,465,766,167,619,117,431,709,168,121,979,406,816,148,814,524,617,184,381,
650,746,389,936,604,931,375,710,763,176,133,261,670,448,668,073,276,612,387,
671,358,895,368,490,053,253,101,682,216,950,104,804,110,598,655,911,746,388,
482,049,563,256,100,002,026,134,155,883,489,874,277,318,319,912,634,500,552,
576,016,856,986,351,434,530,384,879,539,394,421,890,755,557,672,607,581,236,
698,408,115,352,229,448,272,591,020,120,724,465,676,805,655,437,366,413,111,
861,897,154,140,392,435,941,743,446,707,699,745,565,742,634,597,658,005,164,
481,442,369,184,620,117,932,168,840,579,948,414,641,417,835,175,560,260,232,
024,142,661,329,703,817,585,292,937,126,710,630,878,118,547,902,908,030,387,
294,077,515,547,468,946,734,723,093,964,476,092,099,331,615,514,108,606,175,
410,054,336,773,445,314,621,281,525,333,328,603,624,378,860,375,583,138,348,
976,018,741,231,854,013,580,106,728,075,413,402,955,236,088,024,676,451,185,
826,001,754,598,690,217,864,070,735,455,153,226,983,982,791,408,055,018,224,
905,248,672,665,448,461,514,212,161,317,056,691,994,763,794,883,146,491,290,
257,603,635,460,396,614,219,279,857,276,226,361,992,985,173,613,637,573,822,
374,921,784,598,194,468,073,782,481,805,596,678,025,071,569,839,540,863,114,
753,924,643,602,335,641,446,811,650,688,790,811,807,591,965,004,165,548,085,
323,483,352,047,603,014,875,767,845,310,066,055,070,781,513,012,380,785,362,
802,433,941,503,898,730,631,856,452,512,606,466,894,995,526,729,443,635,021,
899,258,265,081,452,549,834,027,959,712,528,164,508,530,957,483,770,685,668,
641,933,722,240,953,299,456,804,385,195,053,696,142,681,706,827,420,861,978,
225,505,177,247,728,886,612,878,183,011,046,917,680,021,955,333,044,283,517,
896,853,606,933,007,570,644,028,502,478,217,597,676,118,620,115,484,658,574,
484,596,730,475,545,592,033,667,427,630,203,430,987,668,891,181,320,737,673,
111,656,144,159,954,773,727,663,357,722,252,912,390,067,418,233,541,869,536,
531,409,643,080,294,969,161,031,108,736,691,715,419,418,366,422,711,978,188,
506,400,924,559,943,277,759,944,076,065,283,721,265,352,139,585,835,291,932,
345,070,996,072,050,472,398,625,126,593,256,831,670,372,212,621,155,121,329,
042,324,351,075,925,638,493,750,268,164,520,713,532,316,440,297,206,551,670,
825,811,718,215,673,633,353,379,606,217,155,941,206,039,017,922,943,790,841,
989,589,207,811,846,674,089,398,579,730,346,321,345,210,317,860,513,430,027,
102,814,954,574,159,632,282,487,605,096,112,894,881,296,604,754,217,308,912,
377,435,479,228,935,630,327,871,843,066,151,527,484,834,996,270,231,036,701,
296,883,293,255,799,565,674,076,918,387,277,081,946,353,082,809,846,883,900,
139,353,299,615,845,225,181,836,503,526,592,919,493,002,828,329,662,450,471,
162,116,327,294,202,083,876,400,618,813,235,099,522,039,813,002,532,690,207,
256,527,770,336,978,945,870,994,658,862,262,466,843,907,204,629,433,562,328,
710,951,810,187,923,433,411,357,330,128,636,490,749,732,651,979,918,158,496,
093,538,628,045,211,509,714,505,769,225,427,121,551,910,881,871,875,570,736,
069,292,692,183,421,808,830,498,938,359,943,142,856,347,918,975,263,924,944,
987,027,583,095,476,656,513,738,347,953,312,173,589,258,913,919,095,515,617,
243,580,955,250,534,484,418,085,037,833,114,572,480,044,804,691,510,601,455,
056,353,594,367,358,129,492,330,670,976,221,527,616,360,689,613,007,358,674,
633,023,541,805,360,150,372,390,536,737,422,380,366,241,524,735,237,755,682,
453,915,389,460,434,367,528,878,147,254,795,909,583,806,967,790,429,538,449,
572,317,223,557,810,824,795,583,635,155,755,442,562,113,732,982,465,569,974,
021,766,341,835,882,835,404,627,029,036,839,541,042,951,494,579,872,355,912,
533,606,700,218,700,942,694,781,816,652,616,399,890,011,475,311,444,323,257,
245,025,640,274,641,243,407,848,729,686,184,267,967,275,423,541,062,144,174,
534,304,337,763,385,013,014,002,011,022,241,063,583,551,888,269,792,713,780,
261,936,451,657,783,281,187,384,523,159,187,908,058,167,757,404,536,242,353,
583,913,188,918,650,759,779,224,174,719,978,338,195,150,353,872,661,926,094,
879,894,777,523,735,352,176,074,719,437,069,641,243,695,243,739,026,695,333,
462,889,071,953,087,289,552,383,217,313,942,975,180,582,379,724,696,724,371,
351,175,670,704,336,371,485,233,513,439,559,470,529,251,107,891,863,692,330,
870,084,924,351,170,319,366,245,244,547,867,657,306,319,165,287,233,268,806,
950,129,436,701,514,083,382,035,054,050,717,289,094,132,286,461,315,521,310,
587,622,006,249,889,850,461,741,592,582,778,284,561,116,572,872,420,433,506,
010,548,565,818,536,499,463,529,562,186,810,902,763,743,691,890,314,871,723,
545,203,208,665,405,481,510,389,581,187,193,178,836,139,174,953,420,371,226,
718,156,063,631,557,140,474,745,266,261,839,089,691,791,266,200,362,175,994,
842,417,975,057,424,119,080,993,380,709,885,604,053,195,877,405,303,354,008,
955,355,157,085,440,784,175,641,561,752,484,806,725,649,288,543,622,204,358,
341,995,442,720,514,194,208,419,549,644,068,797,078,652,966,360,265,033,054,
483,971,000,828,483,628,734,802,814,625,516,289,889,389,159,620,986,278,015,
481,394,901,265,926,154,773,152,377,172,282,462,071,339,440,556,005,834,877,
988,466,476,690,513,276,914,310,849,017,174,155,585,988,797,764,131,302,902,
420,945,784,813,271,088,692,835,477,963,176,989,825,997,412,641,566,635,600,
217,469,158,862,130,643,254,088,711,377,712,296,874,953,870,733,903,849,091,
171,948,157,404,780,298,133,023,438,484,468,750,652,335,873,371,311,903,859,
434,102,385,236,289,540,124,250,789,496,156,938,859,177,186,859,297,648,574,
161,590,458,608,653,256,309,352,246,470,974,858,718,888,825,679,123,134,570,
041,111,048,846,305,348,401,850,013,983,061,767,257,961,522,741,746,102,977,
301,628,783,515,363,069,384,941,359,672,338,362,609,092,658,446,996,397,696,
291,997,840,225,995,285,536,020,165,310,478,081,828,135,007,114,465,572,520,
588,798,346,617,135,096,597,041,549,610,479,746,964,079,466,673,778,794,058,
624,133,031,479,304,606,994,379,229,197,570,752,907,067,061,413,011,859,133,
814,588,177,210,701,171,562,535,295,982,991,745,571,135,620,333,674,521,621,
797,711,330,616,840,103,523,566,186,984,700,539,743,549,603,911,673,686,962,
943,253,602,878,090,127,791,275,883,282,127,770,487,642,473,988,755,368,929,
281,840,205,958,551,458,555,533,365,735,488,786,734,099,458,814,525,976,943,
145,716,414,598,357,476,137,591,937,221,641,068,387,249,390,036,622,746,041,
250,559,759,740,768,918,785,955,101,891,926,895,139,976,795,458,389,540,949,
865,562,838,200,621,823,588,396,024,269,695,796,787,754,982,447,382,140,046,
829,863,210,647,359,400,457,551,460,953,988,504,922,705,181,974,380,779,449,
205,353,790,736,246,607,237,560,121,465,307,247,905,335,604,500,734,934,297,
171,337,836,682,386,047,797,387,429,650,587,301,950,044,853,672,014,471,589,
377,697,142,420,884,335,019,784,923,004,241,647,351,595,298,396,834,063,553,
850,582,766,280,503,482,821,097,444,107,430,273,403,932,841,268,755,492,844,
428,563,196,238,837,789,987,968,363,814,052,384,412,962,666,606,317,025,951,
619,818,711,495,400,229,915,884,624,059,106,306,068,661,640,587,015,322,520,
729,131,015,817,774,139,811,248,412,828,218,505,718,900,327,592,961,108,059,
509,512,210,871,114,110,677,424,391,295,684,130,226,032,314,812,442,942,145,
165,694,014,629,102,325,679,214,850,394,649,951,018,484,526,090,262,326,264,
993,021,757,779,486,647,171,928,017,866,129,350,857,470,073,128,444,536,424,
138,467,004,960,126,592,814,679,040,263,723,953,173,019,797,585,918,405,231,
276,367,267,587,362,898,785,481,923,740,176,474,515,111,116,395,726,923,692,
077,421,733,312,014,108,737,384,402,045,112,679,560,578,029,363,268,976,582,
898,019,152,658,108,338,174,874,180,135,517,265,689,691,307,001,782,934,294,
167,458,365,346,455,337,445,753,178,534,517,083,043,562,311,489,602,229,661,
409,662,803,431,790,051,312,989,996,345,576,468,846,767,367,039,141,773,570,
713,153,411,982,379,566,406,854,806,613,707,581,617,995,404,597,367,036,374,
871,374,564,253,855,043,616,427,042,281,230,637,256,894,957,119,485,814,264,
670,762,911,231,573,696,217,395,283,475,513,953,457,938,167,850,718,496,056,
565,358,548,851,848,946,761,913,024,726,264,084,570,807,778,089,008,580,910,
919,373,294,689,380,152,889,757,804,164,134,156,914,068,126,599,515,627,585,
216,706,978,699,106,308,656,138,213,196,962,801,480,582,886,636,045,585,623,
557,786,444,291,650,173,453,855,514,480,871,817,842,481,490,937,711,323,434,
288,708,309,014,078,060,475,451,644,264,813,826,883,395,658,795,400,862,545,
767,343,420,706,456,440,997,287,154,802,648,766,587,742,453,394,362,558,140,
058,251,824,494,816,280,671,491,287,121,116,249,277,136,942,574,177,275,244,
843,756,849,659,613,514,674,813,817,474,637,544,407,381,049,453,301,250,298,
642,028,937,467,130,382,400,435,852,376,487,004,510,924,262,249,705,859,088,
788,661,046,838,248,581,651,990,776,418,794,671,371,319,651,308,899,712,585,
642,417,129,888,961,207,440,406,571,250,333,820,305,264,927,587,095,314,447,
854,128,059,377,040,548,583,614,400,774,800,248,845,787,727,738,039,510,921,
204,455,168,269,486,888,849,085,080,412,953,174,028,192,825,142,934,936,963,
297,378,134,241,911,706,327,566,008,256,470,271,565,859,661,188,030,649,967,
344,088,201,012,705,327,463,129,665,717,083,121,563,219,066,924,146,370,223,
405,901,160,486,577,581,047,294,458,886,720,046,529,795,059,743,532,838,887,
580,590,467,874,988,697,475,114,420,807,006,756,778,578,382,392,826,148,404,
389,842,991,888,226,954,161,009,717,235,645,983,745,200,400,739,411,358,815,
695,894,221,930,868,041,526,810,663,580,403,439,650,286,737,556,657,512,946,
922,654,154,545,793,792,003,792,695,356,406,684,321,720,780,481,030,206,543,
453,812,602,013,477,043,530,132,744,432,218,578,240,127,311,350,873,418,249,
981,458,572,964,048,953,642,828,247,323,186,137,685,662,367,069,959,169,551,
272,142,728,167,010,957,103,549,284,976,272,465,242,137,776,619,689,284,291,
006,328,750,281,353,585,383,280,139,877,778,153,027,359,790,735,844,263,604,
948,655,949,180,890,069,321,590,772,565,756,500,183,226,987,793,334,950,319,
987,567,280,645,569,554,261,643,816,134,977,441,292,860,683,425,118,398,220,
669,248,316,840,665,382,853,379,546,333,463,310,860,026,990,531,560,837,022,
931,514,679,020,576,354,009,718,980,782,003,219,099,091,303,385,987,196,304,
523,492,531,357,068,792,686,242,589,146,788,709,769,574,693,720,828,056,395,
282,289,219,048,897,478,343,754,855,051,648,944,277,333,462,302,023,060,501,
445,092,897,247,314,158,035,063,530,011,763,804,863,211,175,051,798,953,915,
176,318,139,714,295,840,992,082,163,147,358,371,104,635,633,837,812,166,933,
804,704,851,652,458,279,220,647,185,768,453,787,850,287,319,927,471,067,357,
635,072,412,537,500,627,182,289,607,355,000,319,646,303,780,956,191,324,224,
122,960,891,097,512,073,144,876,899,246,231,283,094,428,236,932,686,188,318,
895,053,314,188,924,174,768,478,769,828,787,762,499,335,365,930,981,760,605,
562,635,436,027,348,557,223,984,148,362,442,651,895,662,415,028,843,235,521,
214,853,620,766,739,323,517,183,482,572,482,468,834,491,995,995,243,336,520,
853,760,469,285,689,251,486,592,630,086,701,385,520,475,817,022,974,004,685,
509,566,205,514,466,225,164,874,601,293,345,312,601,078,068,387,383,415,388,
172,320,021,735,242,373,873,698,888,543,735,707,329,745,510,915,279,086,712,
247,352,871,617,624,458,881,300,545,561,170,979,808,010,326,849,499,228,795,
629,736,507,307,157,462,816,676,034,317,843,863,747,927,973,141,414,503,882,
980,906,139,110,659,062,231,175,893,001,956,638,353,127,970,964,050,787,616,
007,387,042,385,143,357,440,529,294,799,074,857,516,715,643,610,770,927,638,
900,994,227,878,159,856,823,015,256,813,234,242,622,611,478,444,803,623,583,
702,922,084,728,948,029,638,122,007,660,582,282,765,582,759,441,428,955,566,
389,142,984,516,052,575,438,424,991,799,402,552,513,764,783,156,266,289,391,
597,969,823,165,628,766,857,023,810,449,843,834,964,121,863,811,823,179,331,
817,763,950,564,360,985,819,067,715,162,577,397,031,169,410,727,977,547,277,
018,082,575,430,205,305,559,563,814,675,756,597,954,851,399,931,561,554,254,
058,810,523,016,810,771,656,074,500,574,782,749,048,149,929,108,218,877,411,
840,942,533,699,356,278,671,187,478,544,263,691,698,084,096,896,454,208,904,
160,321,605,523,003,338,301,013,829,982,949,669,802,161,631,950,828,141,839,
884,974,959,552,012,525,722,313,911,824,532,005,020,416,355,952,784,305,630,
576,262,757,429,070,716,464,368,934,635,992,804,577,347,838,022,468,336,540,
508,996,942,268,094,438,895,904,569,515,668,874,463,928,082,187,899,793,021,
161,681,458,541,655,602,742,800,718,606,933,892,664,598,680,539,092,007,496,
901,859,642,697,656,283,514,312,721,754,300,835,544,021,418,100,961,566,565,
676,854,680,253,678,361,149,634,267,660,294,483,416,637,473,048,038,307,300,
497,930,700,073,318,387,439,126,525,023,696,228,472,814,244,237,442,222,932,
381,291,541,617,759,349,238,050,009,972,109,120,970,549,635,476,454,537,465,
386,969,894,953,491,094,521,870,861,511,341,039,150,576,520,292,635,663,978,
146,570,193,333,629,298,116,928,239,762,771,812,314,627,193,966,857,022,481,
772,666,940,751,897,528,741,614,523,434,320,170,733,067,001,882,326,191,570,
996,854,065,277,677,012,643,101,985,518,686,847,705,167,673,797,396,273,278,
008,770,117,212,241,151,969,926,057,113,187,561,035,672,663,188,272,585,254,
677,681,384,762,559,185,567,986,564,767,535,405,543,794,641,349,114,686,472,
238,066,000,583,073,443,232,297,321,560,885,922,233,895,019,391,171,446,255,
022,293,093,799,316,762,799,542,326,329,230,962,466,826,390,124,279,163,422,
760,573,109,480,205,300,127,248,616,454,964,378,189,226,371,894,393,268,851,
349,534,070,680,096,000,766,774,937,437,730,956,821,188,399,814,893,480,138,
267,604,683,213,538,361,389,108,589,449,705,655,300,640,812,379,640,832,316,
662,627,069,659,919,354,169,823,577,468,578,883,166,150,707,959,872,671,370,
737,786,733,213,504,082,361,495,515,926,562,391,341,573,124,838,399,583,708,
629,570,612,568,334,898,453,363,003,146,843,181,221,142,134,082,936,960,691,
905,960,177,198,104,979,592,350,744,054,284,412,058,686,873,781,971,763,093,
638,426,511,503,642,521,484,412,243,441,247,649,655,523,202,680,086,385,361,
089,346,061,071,743,311,879,981,212,754,830,376,907,357,753,776,653,347,028,
887,885,694,721,640,890,348,458,487,845,269,572,812,647,918,549,041,258,676,
782,408,617,264,117,583,719,122,234,566,759,102,728,881,140,239,937,742,653,
687,101,123,136,287,081,349,782,600,123,570,063,707,458,221,856,351,492,191,
038,234,528,177,790,139,907,262,148,056,856,248,960,683,900,869,282,409,877,
298,289,366,692,650,089,641,223,960,365,432,366,643,468,871,382,359,614,984,
392,710,388,334,499,025,270,180,439,755,425,030,912,089,098,857,802,452,034,
728,198,864,209,940,691,604,293,016,238,881,483,352,951,348,304,527,290,733,
993,977,962,736,823,756,466,284,471,128,065,905,757,925,178,542,159,358,565,
549,962,895,659,079,364,124,839,100,460,975,259,080,195,852,660,901,641,332,
013,558,213,080,187,594,467,494,567,002,549,766,219,352,283,810,867,693,793,
192,278,441,336,491,882,824,622,899,416,053,780,678,563,756,515,243,518,500,
041,413,221,887,555,491,061,313,306,174,883,515,370,142,717,083,635,003,595,
865,221,375,836,520,409,984,657,646,333,481,188,362,096,421,710,792,256,440,
278,804,993,931,240,771,268,366,756,089,418,491,135,620,926,491,448,357,278,
840,069,785,194,668,679,567,522,167,653,375,835,509,350,879,343,240,997,790,
727,262,353,575,123,840,333,224,664,259,665,773,322,465,445,959,942,566,920,
819,395,098,949,194,170,586,435,999,195,521,667,500,177,119,375,084,492,463,
345,966,457,941,638,823,882,217,953,236,581,662,028,681,446,078,248,515,182,
164,776,687,408,356,985,725,315,271,447,463,854,312,182,810,411,500,725,153,
717,526,132,669,407,957,404,315,806,561,906,461,265,412,185,894,871,159,700,
924,690,772,507,382,200,410,099,889,136,703,895,136,330,778,483,230,703,452,
979,702,636,818,676,044,969,574,946,641,922,890,692,316,181,131,055,221,898,
480,602,239,468,480,500,907,871,670,506,392,087,582,810,785,735,007,508,038,
227,170,383,582,673,028,206,237,101,516,629,621,023,558,540,825,003,656,377,
216,708,861,907,841,631,353,452,701,132,366,120,421,311,941,088,553,490,406,
338,645,411,265,115,716,792,288,766,337,631,252,295,108,950,570,954,836,985,
592,355,844,447,858,406,157,474,166,039,082,629,263,713,327,463,931,989,466,
039,735,523,397,199,927,075,947,362,980,672,239,229,652,102,745,265,479,399,
134,297,640,121,879,126,140,795,296,811,467,359,707,109,024,246,490,018,097,
081,027,746,157,011,484,964,350,915,011,127,916,284,743,096,874,252,545,955,
960,385,224,523,611,842,240,870,039,578,231,113,289,307,704,448,392,343,210,
532,680,869,945,401,682,693,535,848,121,511,509,260,944,764,118,546,412,749,
458,551,511,624,464,353,235,456,284,028,709,904,192,898,866,963,934,364,492,
487,916,658,146,267,354,862,563,081,420,700,036,796,040,786,656,134,622,562,
222,651,191,937,150,905,436,863,857,113,987,407,314,688,254,170,157,799,232,
913,022,915,895,265,931,444,321,890,678,283,743,128,578,095,848,954,589,165,
962,684,072,528,291,817,104,097,405,036,796,984,315,175,585,859,542,244,228,
663,484,064,972,462,277,860,505,047,937,425,301,179,514,428,757,009,598,920,
799,791,469,433,397,719,131,545,696,573,130,980,221,990,347,913,341,727,784,
496,945,263,252,210,958,797,113,279,284,323,693,529,026,882,737,861,550,712,
739,834,597,925,867,897,835,323,161,058,144,424,466,720,566,848,344,364,604,
810,103,135,547,463,396,958,898,988,066,567,444,589,571,724,340,974,163,584,
068,850,471,879,449,724,166,074,589,684,122,820,931,657,105,472,750,214,029,
826,130,765,017,037,616,595,049,911,082,502,623,196,610,984,252,588,213,809,
178,330,643,110,289,716,193,864,455,202,288,650,492,281,081,826,572,337,620,
507,651,183,047,349,218,678,638,463,182,050,303,984,600,044,789,390,254,374,
950,641,005,403,525,168,960,541,651,729,483,190,394,565,913,899,448,447,123,
822,254,724,595,493,894,759,730,382,878,685,551,740,820,038,408,796,582,828,
933,593,727,551,768,932,250,792,064,161,645,707,732,275,081,275,900,681,913,
608,977,553,384,134,601,192,511,847,388,007,055,332,851,885,394,920,421,298,
016,931,723,232,056,386,685,779,037,352,854,470,926,642,339,636,026,178,088,
710,371,748,757,062,854,894,478,450,562,482,305,190,968,410,227,708,126,813,
653,771,226,812,026,891,115,703,883,579,460,196,459,748,630,647,363,904,926,
892,601,202,386,825,815,506,806,924,199,357,621,258,577,944,079,016,894,982,
697,441,398,885,070,704,315,449,875,129,486,174,442,195,750,360,464,209,771,
030,043,561,965,330,525,957,396,111,294,744,978,953,146,699,070,198,560,254,
616,384,112,856,875,066,328,622,858,243,402,869,424,497,375,645,736,100,521,
515,870,160,446,322,342,153,093,198,112,728,094,512,837,902,540,378,119,107,
543,765,811,108,554,133,039,249,330,804,923,354,577,981,438,510,782,555,812,
713,566,197,696,580,708,937,793,801,176,849,572,655,591,674,657,841,656,946,
111,076,387,942,231,436,267,005,410,352,206,370,683,685,390,471,629,730,704,
281,978,281,905,596,455,216,498,975,612,179,966,327,630,601,672,483,601,906,
719,987,603,324,334,201,421,651,121,823,234,671,897,755,114,486,173,069,277,
241,388,556,800,801,295,322,513,672,757,770,784,206,657,239,784,119,156,627,
639,846,535,407,641,393,607,590,045,809,749,861,903,947,082,349,275,890,167,
497,782,400,712,060,856,029,662,519,710,225,027,489,548,256,839,770,840,847,
869,808,694,170,368,160,377,626,195,192,162,443,871,781,747,049,382,070,775,
023,857,224,241,407,647,944,789,068,696,857,916,503,383,899,017,529,712,955,
878,366,947,985,328,988,760,751,570,551,839,301,999,572,656,151,939,671,770,
973,145,489,672,355,162,580,144,991,673,173,788,105,310,594,769,710,460,005,
724,575,656,939,365,611,760,691,606,000,687,609,566,590,959,643,017,496,510,
172,316,501,212,388,037,267,660,586,595,412,009,559,538,930,338,971,898,311,
405,102,990,535,113,337,031,160,252,796,113,361,718,529,634,110,770,904,101,
232,130,779,281,649,909,615,461,668,498,159,577,919,680,506,906,507,653,015,
224,083,317,714,085,145,902,932,161,321,675,401,207,346,820,837,782,111,386,
838,347,344,890,486,464,668,509,072,178,920,826,887,934,457,535,879,633,526,
637,573,719,724,913,650,580,888,831,276,080,490,324,679,696,588,127,991,126,
058,463,167,548,998,898,220,028,134,190,592,464,260,220,602,337,605,872,275,
410,978,689,691,894,141,242,162,293,788,994,982,866,900,287,112,852,705,571,
639,754,179,594,507,571,678,867,782,947,608,785,492,110,482,264,861,622,352,
616,105,435,913,691,252,733,859,357,149,900,931,133,196,926,076,075,760,368,
406,525,068,053,522,890,581,199,915,059,333,328,271,836,055,770,384,494,477,
481,455,110,548,280,381,360,343,375,005,559,134,371,785,029,010,427,694,722,
266,980,757,793,417,488,943,220,409,900,301,883,816,451,339,270,852,246,603,
337,431,902,191,005,570,254,816,226,575,143,539,377,324,601,123,911,304,142,
146,904,504,656,556,356,160,297,881,218,231,910,592,541,290,648,449,793,908,
446,964,392,065,890,237,784,238,537,550,838,991,600,498,204,723,825,420,618,
766,805,706,919,185,652,396,491,844,791,637,976,524,937,209,336,156,249,970,
873,716,325,911,899,044,575,245,437,534,951,995,843,386,915,178,275,939,354,
789,453,755,406,591,203,242,938,272,573,471,028,080,144,337,440,159,679,650,
111,353,234,277,648,254,694,533,723,125,646,704,200,856,378,881,846,769,148,
003,404,340,988,236,050,155,690,920,860,321,025,915,633,694,070,464,553,432,
540,139,510,093,741,409,491,323,263,050,431,917,628,742,326,862,505,894,566,
005,198,780,935,973,280,472,749,471,514,705,908,643,626,695,168,353,756,995,
929,063,789,840,372,862,228,737,755,522,401,427,921,759,414,973,167,744,776,
276,844,505,485,402,716,742,277,411,638,084,582,600,052,899,294,078,112,819,
310,382,726,852,586,268,682,516,638,086,630,802,729,541,900,470,187,398,540,
104,941,721,991,038,147,165,038,255,518,832,339,695,561,556,367,195,020,489,
618,354,099,934,525,917,115,833,613,172,555,765,789,647,680,609,042,316,746,
560,366,721,120,442,532,452,991,039,155,710,428,232,927,366,513,520,697,443,
197,569,341,138,207,081,795,054,733,164,577,311,486,732,474,489,165,939,234,
150,891,545,770,599,271,177,045,616,633,574,088,084,312,936,621,806,093,652,
348,958,894,710,076,016,870,992,890,831,605,763,812,461,821,001,205,627,989,
594,164,467,432,603,891,604,397,587,794,251,161,896,806,941,118,663,240,682,
616,283,624,851,955,152,454,565,757,617,071,834,796,322,734,256,873,490,361,
722,969,271,176,700,869,273,351,626,271,932,616,724,574,570,042,627,582,366,
505,077,979,239,237,458,160,584,509,355,085,259,779,288,555,461,660,753,027,
314,509,992,285,702,813,809,512,381,085,207,239,466,099,160,747,158,694,870,
481,107,847,670,368,927,407,004,326,393,328,157,504,552,677,746,714,802,357,
479,734,754,215,731,026,468,447,644,643,365,390,142,279,386,190,141,540,944,
481,499,999,646,817,124,874,572,269,716,544,264,539,569,048,671,805,692,650,
874,059,558,719,690,065,958,001,747,327,429,951,303,895,256,397,633,628,832,
443,850,263,687,989,526,129,234,065,950,400,480,120,329,818,885,777,512,395,
514,743,616,780,986,114,026,537,426,729,266,959,103,000,589,823,687,801,285,
549,043,651,493,715,671,982,163,735,968,125,218,767,598,189,009,639,041,560,
411,393,260,903,170,504,089,587,205,970,096,027,206,853,297,875,472,730,485,
487,162,623,921,928,888,514,661,891,876,568,126,107,684,836,968,524,940,553,
276,954,473,573,375,297,008,036,228,070,544,432,400,280,168,742,531,535,183,
873,025,951,236,512,769,093,938,904,012,465,440,704,693,860,047,837,935,692,
750,533,178,633,981,580,755,454,613,752,366,365,989,201,632,965,165,232,668,
923,920,191,968,585,717,424,583,040,344,761,530,738,959,892,350,112,036,307,
971,323,286,128,597,695,996,723,887,033,013,057,389,561,147,834,805,533,539,
200,249,554,740,460,329,755,143,262,964,705,773,328,798,469,719,465,063,161,
023,345,253,341,152,652,753,492,050,224,146,387,535,466,278,151,843,795,051,
053,152,931,366,115,033,297,659,461,609,198,448,815,327,083,695,296,399,637,
783,941,713,926,335,268,748,942,545,170,380,625,093,353,712,126,579,106,695,
433,429,092,996,713,108,424,670,221,791,654,925,276,741,284,440,913,592,201,
039,687,593,482,130,139,665,740,304,473,722,952,030,699,578,512,714,128,271,
952,831,527,379,733,571,573,930,515,635,186,018,284,887,985,176,857,300,284,
769,299,495,646,373,823,648,992,457,568,061,343,888,278,516,424,489,110,796,
707,886,715,292,880,811,816,835,022,817,587,635,778,401,946,392,554,517,634,
924,965,274,404,012,714,448,955,301,665,081,771,841,763,770,861,444,563,377,
878,519,583,479,557,695,241,952,169,387,936,786,897,653,639,656,862,171,983,
674,551,953,440,784,750,373,189,679,522,742,037,801,946,864,702,288,222,969,
332,138,794,568,719,770,647,255,295,994,060,486,508,325,983,709,840,168,370,
081,074,927,248,391,780,188,249,169,441,204,022,083,709,178,685,677,003,236,
231,849,487,816,807,230,469,112,427,666,014,321,347,325,196,681,495,686,306,
116,017,193,780,822,837,804,122,808,589,997,112,596,149,974,391,022,964,065,
162,354,253,725,861,769,241,479,738,875,873,623,429,090,883,168,659,452,689,
649,721,781,638,940,948,545,582,852,869,920,058,316,203,437,912,030,844,113,
138,246,081,688,594,678,675,827,782,957,773,169,168,611,706,242,589,095,971,
662,722,172,348,374,525,767,067,482,835,031,011,228,237,508,400,025,477,146,
708,147,996,706,152,854,054,118,097,240,438,085,697,742,104,091,088,549,980,
317,234,125,559,753,034,918,746,496,167,869,424,655,636,757,008,816,545,207,
812,135,877,411,215,524,271,143,471,089,358,025,122,449,362,337,902,657,272,
365,399,652,555,972,677,384,189,250,769,483,903,326,330,100,681,849,338,960,
149,791,260,229,435,670,635,421,558,295,834,154,484,305,883,482,018,765,490,
004,938,599,657,037,854,442,510,550,353,027,150,196,909,323,038,385,304,258,
263,795,441,591,264,901,328,092,468,897,127,324,106,212,044,154,204,626,845,
103,433,565,909,343,736,680,104,636,808,094,207,249,279,150,429,163,469,654,
380,984,297,686,104,545,781,582,878,078,715,512,671,976,380,999,371,700,977,
354,551,151,235,267,201,559,042,936,576,854,015,681,372,790,237,102,302,166,
372,253,428,439,917,970,018,059,124,290,567,155,530,100,755,482,495,739,337,
756,485,974,559,398,194,157,785,174,162,597,134,912,596,622,468,556,882,061,
157,772,775,431,570,846,577,277,829,782,186,594,486,029,716,202,346,290,538,
012,211,770,740,019,097,961,377,349,073,959,249,541,293,399,538,022,623,870,
468,217,099,118,220,093,430,965,472,583,452,579,194,707,926,800,493,728,696,
373,040,898,423,173,073,004,511,175,595,921,432,920,648,896,961,170,142,683,
330,396,189,316,385,055,673,563,728,261,149,982,631,879,887,097,948,979,834,
325,797,945,382,003,447,366,810,386,860,472,360,013,256,133,623,108,543,734,
850,473,134,062,638,358,671,702,580,624,540,043,485,319,062,649,277,854,584,
008,995,230,761,858,455,397,050,905,998,987,815,681,538,611,221,151,009,045,
099,748,559,178,256,451,276,492,272,857,437,186,715,071,305,590,230,033,231,
952,904,952,395,010,143,278,528,704,218,349,170,580,982,285,446,752,013,500,
151,540,631,819,868,536,041,289,736,020,449,792,554,346,665,716,281,178,762,
841,373,248,999,645,189,157,474,266,875,030,780,188,812,490,247,136,954,875,
462,668,207,825,916,421,694,836,654,515,956,438,515,471,036,784,996,302,539,
665,267,874,505,648,170,175,879,520,021,596,405,863,037,733,648,193,834,212,
569,339,617,136,395,048,579,777,263,193,972,700,140,743,675,555,244,147,823,
811,670,411,853,179,104,439,187,344,795,629,209,829,333,585,431,550,538,451,
086,310,348,420,384,364,818,914,081,623,404,028,725,081,602,197,627,894,700,
119,058,032,557,719,554,370,487,474,975,435,942,631,405,827,689,709,592,840,
935,154,742,253,651,233,941,714,352,945,708,257,359,613,057,137,628,155,205,
808,998,313,947,404,321,644,758,441,205,513,511,162,696,282,412,819,134,991,
073,124,110,850,006,062,222,059,867,455,844,030,671,180,266,382,401,239,661,
055,779,692,062,812,140,379,994,072,422,884,369,407,935,973,928,767,111,280,
471,361,552,329,705,793,923,663,312,871,557,427,117,969,078,448,612,169,014,
920,198,914,069,469,668,685,683,180,840,891,057,222,227,517,638,516,300,721,
007,837,678,131,260,837,857,062,182,807,747,160,285,924,029,180,224,893,641,
977,835,835,548,239,222,405,135,891,807,732,779,416,923,356,606,866,979,815,
987,738,276,421,141,891,487,924,099,879,571,986,622,871,301,209,147,884,185,
910,916,766,494,404,392,040,188,863,920,924,452,073,697,193,680,031,585,861,
148,234,299,319,065,212,333,204,273,149,802,976,430,020,649,361,347,905,679,
797,444,636,468,798,899,855,764,521,164,246,189,755,302,656,416,000,943,533,
500,506,788,955,907,485,904,167,510,586,802,233,050,852,454,639,162,946,161,
970,403,579,169,280,815,080,161,422,995,848,634,133,121,941,744,066,483,263,
104,810,643,241,564,947,488,402,670,755,385,996,632,275,745,864,217,411,342,
095,908,988,806,912,079,719,399,379,878,277,614,174,845,567,560,260,144,051,
746,868,491,269,589,695,372,747,945,031,467,733,578,940,985,477,606,952,123,
808,424,640,597,733,132,582,854,132,634,533,109,370,318,856,285,189,781,930,
977,512,243,958,982,075,246,245,466,283,141,403,575,340,547,537,138,964,355,
284,749,853,847,628,035,547,965,792,509,727,123,641,120,910,580,502,447,733,
331,089,705,961,291,296,324,064,393,975,495,353,590,188,806,589,745,263,262,
933,340,052,736,864,015,314,262,951,613,715,184,531,851,650,236,161,616,189,
005,631,114,913,351,846,700,255,192,657,635,767,681,502,034,811,782,482,957,
078,462,179,214,714,673,147,054,655,244,114,434,706,722,510,217,089,367,649,
243,519,389,117,650,804,662,803,964,748,500,088,844,577,668,983,150,611,744,
092,959,671,154,251,275,827,392,683,978,422,884,597,669,916,623,220,491,344,
095,665,770,485,454,864,218,377,898,714,688,943,360,047,888,688,673,926,614,
635,697,659,484,511,147,942,673,814,366,045,308,124,194,798,669,322,062,266,
279,420,719,335,313,584,056,014,766,555,163,145,852,988,619,073,838,217,435,
185,683,679,094,140,635,444,680,623,866,333,741,609,889,189,920,169,406,408,
515,126,823,268,454,531,373,906,527,313,703,593,760,342,765,751,873,905,741,
560,623,226,031,325,838,872,556,945,955,752,219,468,018,940,450,400,944,492,
064,106,908,664,991,382,809,312,554,728,198,262,426,284,464,253,703,251,252,
435,602,257,526,108,589,555,685,729,503,810,939,104,970,704,885,087,533,514,
978,503,503,846,330,992,421,790,321,771,053,405,530,349,595,328,135,002,868,
549,966,182,100,172,449,713,000,298,687,245,719,519,456,337,763,176,402,097,
848,260,411,893,425,895,078,196,989,600,907,372,373,305,482,602,734,929,815,
210,905,080,888,390,698,209,757,983,809,150,907,189,536,961,581,980,011,453,
270,185,222,059,613,539,373,663,305,317,256,878,701,395,473,974,004,118,806,
760,115,072,885,302,978,110,436,261,165,714,253,573,500,368,448,495,018,419,
751,708,328,958,997,066,749,610,726,557,052,261,414,747,243,303,838,422,347,
730,624,133,768,012,276,919,168,224,895,920,128,072,192,499,164,852,514,407,
270,000,478,469,964,118,220,708,713,434,543,723,289,043,039,517,083,399,879,
166,719,976,349,919,996,213,774,975,563,500,227,163,967,966,145,313,548,671,
180,638,701,562,238,756,843,439,282,562,212,663,177,697,038,942,593,040,255,
019,668,913,400,269,973,496,702,527,646,988,022,921,778,156,509,392,729,014,
731,856,276,656,711,109,710,116,458,184,363,463,544,455,821,305,207,960,804,
046,484,015,372,942,837,403,322,775,637,338,260,747,143,806,551,293,664,864,
856,144,536,068,920,491,716,265,850,632,040,002,185,306,529,104,386,897,001,
121,849,057,831,030,246,145,330,371,748,497,999,958,074,694,088,339,887,407,
768,814,878,345,103,078,748,138,298,382,908,299,124,506,359,073,703,553,874,
813,701,982,953,719,230,540,230,040,370,214,691,021,294,738,113,632,099,658,
687,403,915,658,754,764,776,787,009,736,543,295,610,199,940,261,365,692,813,
739,496,453,939,746,566,699,048,391,965,153,002,595,380,776,211,432,255,260,
919,598,715,116,456,751,594,975,193,719,208,538,840,090,069,943,441,521,994,
943,333,650,355,111,962,662,334,034,427,515,337,534,395,038,364,380,348,098,
840,749,789,985,637,599,225,514,377,656,985,297,226,306,285,434,524,874,204,
476,978,976,241,732,100,167,637,097,468,283,411,168,937,437,838,377,723,902,
768,801,002,534,127,531,184,224,186,920,584,812,806,107,890,297,353,201,718,
227,122,267,805,666,549,515,592,220,044,169,448,752,167,726,829,730,076,526,
562,646,376,258,568,226,266,172,539,693,490,256,708,440,714,522,116,975,808,
385,027,740,615,943,216,644,303,364,884,323,070,985,385,795,257,015,902,371,
498,792,295,564,223,620,947,164,185,616,622,195,450,362,228,052,564,171,541,
977,789,474,356,400,038,155,190,472,298,816,783,064,297,723,086,590,857,473,
408,251,981,839,934,697,014,985,987,858,635,479,617,861,936,785,409,225,315,
552,785,488,332,081,655,137,947,360,093,350,362,014,743,684,294,039,261,277,
979,275,197,214,395,858,098,916,413,517,574,410,478,664,214,395,299,732,000,
341,071,769,202,869,242,996,798,948,319,110,731,118,229,591,387,828,670,132,
606,531,978,574,237,651,933,454,650,560,411,655,356,437,327,548,768,596,875,
435,957,040,539,857,826,055,834,852,065,209,040,837,024,768,776,520,169,565,
672,019,284,044,624,286,526,401,265,027,323,606,575,269,527,374,503,914,722,
298,683,499,016,117,828,491,962,903,481,913,030,380,965,813,768,519,077,645,
021,655,542,251,962,813,042,214,974,716,229,318,350,568,149,490,905,809,280,
379,749,359,788,176,711,852,993,584,733,585,681,702,294,615,557,717,545,530,
342,922,037,519,861,227,985,448,612,808,563,261,619,663,222,567,952,676,552,
254,020,433,508,650,602,074,961,700,094,297,206,101,562,270,538,396,360,123,
450,694,133,524,415,177,464,525,193,632,938,347,878,071,189,179,191,861,888,
193,563,758,747,743,237,274,290,888,747,141,072,267,664,970,120,666,919,672,
145,187,761,380,139,525,130,084,558,422,852,773,004,428,865,390,352,245,617,
817,830,065,860,120,359,261,818,432,839,799,383,677,891,357,556,937,485,474,
170,548,120,071,369,706,679,228,548,810,053,146,353,639,922,393,306,790,879,
503,007,275,215,176,780,304,764,333,435,073,398,320,423,755,233,482,524,221,
638,916,341,262,946,765,066,611,866,006,315,703,724,482,545,971,353,208,284,
904,270,924,899,923,475,974,300,260,342,138,074,146,486,624,212,604,354,626,
793,852,605,648,396,052,094,217,260,723,458,439,699,648,800,816,267,463,025,
363,959,483,085,861,405,578,774,221,545,440,364,073,085,407,540,957,058,211,
437,085,462,514,137,817,031,944,766,618,616,038,816,171,885,206,409,613,255,
500,464,591,898,665,138,780,819,917,750,410,634,787,411,381,121,710,660,130,
326,805,195,897,056,668,159,138,755,313,289,512,072,749,730,538,864,063,837,
838,572,346,266,174,393,275,397,724,466,495,815,592,311,850,784,365,180,593,
656,099,969,213,690,526,501,830,775,605,102,964,689,262,078,176,512,441,692,
097,786,050,553,857,416,331,372,419,125,307,008,358,286,346,824,650,285,042,
378,329,519,375,621,455,600,533,927,949,342,193,948,349,753,099,587,523,767,
044,071,998,577,573,658,915,074,461,073,205,473,305,972,371,792,730,391,638,
577,110,535,483,717,529,369,189,164,889,270,331,244,332,304,627,111,937,390,
384,256,466,153,783,438,375,192,615,309,956,188,041,686,855,650,486,485,071,
812,233,198,850,835,687,015,205,802,676,025,935,380,138,432,703,598,461,041,
402,584,162,181,080,745,209,008,242,766,913,706,548,472,456,546,497,493,527,
391,336,332,319,834,093,220,478,249,112,590,802,184,447,934,187,474,123,950,
623,346,038,133,923,258,510,885,133,111,606,288,894,510,200,158,815,802,223,
726,294,006,204,628,159,942,609,833,755,601,601,192,489,984,596,197,861,677,
970,993,643,619,419,317,807,002,828,857,683,728,584,597,665,963,428,542,197,
047,858,135,624,223,899,347,529,344,405,406,418,392,536,802,592,966,794,778,
301,932,470,535,122,438,574,619,626,766,410,331,524,030,482,292,054,441,020,
310,975,983,658,488,728,388,839,691,404,699,215,901,380,035,957,559,083,700,
147,447,887,148,898,585,085,514,692,481,642,185,481,800,991,426,290,904,378,
746,438,407,304,813,694,400,144,453,877,131,594,604,980,242,847,096,571,080,
853,732,894,992,635,293,369,325,037,023,381,177,371,745,445,886,416,521,978,
281,242,350,671,346,773,208,257,034,576,705,187,787,583,641,838,047,056,842,
963,052,223,445,945,803,641,519,381,887,967,912,821,056,540,345,497,528,168,
098,074,989,557,501,881,699,061,676,236,559,574,629,751,155,335,560,036,129,
799,911,922,853,717,557,467,890,097,669,608,410,632,429,252,649,481,058,953,
621,688,691,808,212,371,252,523,232,917,967,688,398,950,619,681,698,299,837,
434,881,557,350,899,857,562,778,632,121,176,549,960,897,624,544,997,989,995,
029,062,219,854,782,015,432,257,888,666,964,212,025,377,120,272,283,868,130,
738,467,157,511,124,423,472,517,896,618,982,266,720,390,301,567,116,453,973,
671,230,160,771,678,310,734,432,837,049,857,832,001,335,949,660,075,073,801,
964,831,604,399,778,668,264,693,248,242,275,071,723,332,275,818,510,621,109,
152,329,204,854,674,672,523,476,412,651,736,949,306,266,456,987,132,816,738,
305,585,929,230,000,471,392,712,872,180,473,708,150,127,156,903,663,200,795,
529,189,258,472,707,010,598,313,463,180,439,254,336,473,558,947,127,064,253,
038,126,185,532,237,440,611,224,534,988,595,155,054,600,810,074,792,254,467,
414,419,128,732,797,099,381,361,000,828,808,560,292,770,034,336,214,000,760,
131,951,009,276,492,556,135,258,758,325,806,029,071,460,498,671,632,268,557,
478,962,285,822,865,281,640,725,159,493,018,178,771,890,979,842,910,399,062,
775,806,113,849,252,041,423,889,011,998,643,538,445,865,518,868,988,132,616,
743,696,510,963,838,986,540,816,051,804,685,308,899,083,528,167,480,577,146,
461,563,616,428,565,509,658,798,562,596,857,777,225,168,377,954,084,409,811,
495,565,837,146,883,932,409,487,176,502,903,594,626,656,297,344,622,526,150,
524,191,299,248,620,786,597,253,165,433,090,036,703,649,725,464,744,881,899,
574,434,826,513,132,563,120,774,756,182,932,728,881,247,018,601,135,806,723,
994,083,187,998,693,083,104,641,815,364,943,481,986,253,150,341,991,919,011,
682,984,284,928,488,217,024,307,819,698,352,610,958,362,473,272,811,039,663,
596,402,855,348,570,524,658,486,585,825,674,153,190,675,864,003,634,054,632,
391,983,815,569,298,318,597,623,359,398,296,707,904,913,782,522,477,530,101,
109,818,116,484,762,709,695,240,753,436,598,631,649,358,331,464,276,437,114,
868,683,492,978,836,636,535,962,337,665,159,809,698,632,019,168,647,443,721,
346,521,676,327,284,744,116,968,272,099,219,601,161,233,928,424,368,886,007,
676,092,004,862,070,812,720,824,646,290,796,971,239,454,425,835,885,415,141,
753,380,187,553,323,518,334,995,844,692,344,940,278,432,922,942,882,018,882,
388,701,747,576,016,376,288,680,439,461,637,764,646,375,618,725,913,496,607,
263,052,996,589,647,154,568,885,297,320,350,019,082,603,076,176,067,733,236,
653,787,423,989,167,599,500,154,283,762,223,913,138,744,075,682,439,479,562,
658,678,553,475,801,851,428,315,721,504,910,019,536,854,249,090,757,872,193,
644,263,104,625,776,533,612,270,467,852,641,149,455,335,173,600,941,464,630,
222,591,733,701,625,129,594,419,215,566,560,703,373,045,326,983,516,763,635,
106,623,230,716,149,609,885,732,972,359,394,652,463,234,761,227,530,626,963,
535,794,316,933,324,245,727,565,487,192,292,804,079,104,746,050,156,013,394,
138,471,198,537,781,599,597,259,443,099,990,928,104,531,042,929,025,195,609,
463,294,743,765,248,997,063,323,342,394,255,931,954,141,895,458,819,977,716,
327,228,232,928,180,467,301,185,572,069,193,959,424,314,335,785,738,962,360,
965,401,271,471,869,151,814,761,931,545,263,396,195,191,553,192,488,757,495,
074,732,908,690,947,969,710,990,495,773,669,348,749,251,562,121,387,876,338,
367,202,165,290,009,097,112,391,006,226,411,184,486,844,701,465,125,223,672,
657,018,965,701,462,544,636,181,366,439,039,995,136,052,623,277,075,570,821,
225,089,850,664,604,325,342,014,281,680,370,190,572,119,774,033,888,409,400,
433,280,428,390,581,357,171,076,926,605,790,713,188,415,043,357,266,606,192,
505,197,809,322,347,574,135,069,656,409,569,821,982,041,225,077,607,451,599,
514,033,119,888,091,024,605,181,609,027,322,564,220,172,086,069,089,049,613,
064,064,962,172,427,647,399,141,360,453,329,351,014,799,173,344,374,731,723,
308,329,066,574,814,161,574,370,932,383,954,361,026,413,815,473,824,042,914,
487,544,238,959,242,569,751,013,680,072,498,279,758,927,357,156,594,203,081,
391,940,353,117,276,017,627,586,656,237,631,781,427,808,836,297,210,909,114,
986,626,036,306,212,173,630,484,630,302,407,531,719,264,651,153,895,058,362,
987,214,900,058,866,122,061,001,704,764,210,302,475,477,951,044,409,456,755,
825,813,876,563,883,884,926,343,727,397,238,191,829,209,256,446,745,191,615,
053,334,071,993,116,125,360,748,094,500,639,393,608,700,587,931,447,367,723,
329,789,190,352,763,632,154,603,321,839,947,373,759,329,140,984,526,838,768,
142,750,950,886,602,534,326,448,691,798,949,167,676,547,808,247,363,054,932,
954,138,618,308,715,129,848,865,880,455,342,743,225,705,036,866,611,907,932,
290,703,506,768,765,711,654,457,684,107,277,149,927,632,137,523,001,812,403,
322,622,596,386,562,014,087,189,338,349,421,429,415,603,666,924,487,427,888,
566,240,962,841,960,065,376,090,480,722,851,206,841,238,915,371,307,745,441,
933,789,468,819,770,541,580,951,144,209,590,638,074,595,617,524,563,099,673,
643,521,292,000,504,291,666,517,234,259,271,991,546,274,019,499,746,237,832,
713,588,043,889,786,462,942,507,135,979,710,213,904,798,786,111,879,668,585,
330,077,913,303,626,683,028,943,085,609,256,294,094,490,047,425,971,887,526,
767,365,940,589,220,125,165,521,675,824,303,590,695,038,667,116,106,471,674,
667,957,584,480,963,229,089,922,860,574,550,878,024,078,123,716,247,690,686,
101,785,046,569,593,487,273,310,160,198,771,412,581,156,930,255,005,649,573,
040,468,599,282,890,128,416,712,289,161,445,282,168,640,261,858,251,473,466,
253,699,796,603,224,530,895,499,699,388,553,227,216,303,410,447,562,413,948,
203,899,450,027,637,378,509,755,053,812,763,248,136,851,968,505,999,002,623,
506,584,534,611,931,824,380,954,360,752,080,109,289,170,078,835,411,218,532,
784,464,857,129,935,167,838,640,930,441,970,372,008,040,984,251,126,711,498,
769,644,297,968,578,181,024,493,580,233,429,252,854,713,990,036,810,820,876,
633,155,276,758,168,617,571,032,437,683,433,690,471,391,302,651,462,289,258,
050,884,426,399,732,277,235,009,591,986,685,986,201,628,901,266,125,672,270,
063,324,247,810,693,987,549,583,671,473,836,575,672,279,864,737,543,504,850,
875,303,711,606,661,626,421,991,586,717,076,137,963,996,491,902,818,048,346,
807,680,286,486,128,749,096,947,602,070,953,695,106,954,082,692,157,415,855,
934,521,998,475,750,786,439,067,334,487,050,458,015,487,905,935,325,401,587,
023,537,332,070,770,512,051,985,548,086,085,684,366,696,545,485,509,243,114,
841,742,258,895,397,969,585,642,478,589,228,124,123,654,816,280,463,717,362,
447,753,126,214,051,090,467,562,892,720,673,048,760,214,084,541,819,310,524,
806,555,257,637,754,398,385,862,270,457,729,325,620,978,481,941,637,797,726,
490,401,236,799,099,839,951,592,617,963,260,719,877,761,784,928,418,182,949,
803,283,822,839,773,134,207,597,839,014,520,468,478,226,614,000,118,374,453,
001,915,273,673,032,941,774,312,632,628,576,767,966,729,629,401,335,326,787,
827,184,278,345,581,098,520,173,696,068,656,805,785,141,847,035,389,366,457,
494,873,420,521,846,519,110,133,795,050,868,321,840,919,748,380,510,162,494,
328,284,394,489,959,669,596,806,801,988,825,380,831,524,712,216,170,043,969,
515,761,295,557,389,332,508,152,311,305,649,860,631,934,677,657,067,171,669,
441,403,771,379,840,376,871,689,614,631,783,255,906,484,021,696,685,609,507,
553,257,240,243,662,457,259,243,803,976,580,757,651,534,140,204,323,662,861,
810,696,828,652,114,726,628,701,154,528,541,169,150,846,877,765,322,467,464,
464,200,323,241,739,743,536,665,528,191,857,635,659,406,112,737,735,577,569,
722,912,502,592,287,948,922,185,130,432,567,117,216,003,543,455,122,963,655,
894,926,198,384,977,510,566,691,486,817,194,216,708,611,816,026,054,378,770,
033,645,495,095,865,355,990,740,293,884,255,250,314,663,019,176,050,294,170,
969,410,249,354,610,035,485,734,241,892,001,816,527,830,770,254,801,647,050,
318,307,424,125,509,818,198,843,090,546,003,974,938,559,961,779,507,323,166,
882,850,285,376,346,897,600,774,790,077,195,458,335,055,151,110,191,505,674,
791,551,336,377,136,595,705,638,734,253,708,381,786,214,761,197,650,050,911,
858,850,246,200,353,045,274,068,320,471,563,533,932,941,025,532,040,692,650,
972,693,831,486,350,717,801,976,459,604,811,203,854,463,352,833,331,498,570,
720,488,416,408,147,852,152,537,373,863,460,005,602,327,208,135,797,983,585,
129,011,140,137,274,870,595,564,394,310,109,188,839,558,198,144,315,194,322,
400,826,073,173,743,681,540,694,954,076,972,787,503,509,910,702,757,625,103,
872,477,690,788,715,302,348,584,216,499,130,951,562,804,413,031,906,566,342,
651,709,369,859,190,923,075,986,236,449,163,656,780,738,674,213,919,511,393,
769,796,180,126,662,489,186,084,520,103,007,535,094,295,251,426,750,646,066,
924,323,758,030,089,574,835,739,333,449,589,720,068,120,554,173,063,638,302,
143,698,993,613,726,475,435,412,919,269,117,541,061,767,951,015,060,048,196,
009,007,554,955,794,355,219,468,053,668,415,036,066,724,088,655,062,381,099,
829,688,761,753,276,295,533,955,755,106,358,299,358,577,323,706,596,378,367,
153,903,783,922,534,775,163,163,765,056,992,493,182,281,880,119,789,718,009,
882,936,989,248,054,339,847,206,013,465,250,358,975,627,099,673,080,986,173,
193,155,129,812,205,975,041,654,235,376,381,952,105,286,606,729,475,157,620,
604,331,748,504,988,425,958,957,617,004,695,397,584,320,752,423,593,185,052,
279,465,122,065,877,874,155,371,627,493,291,466,881,287,903,008,501,273,523,
142,092,462,860,780,839,190,029,880,262,278,249,591,819,660,596,836,135,702,
454,062,916,347,930,589,461,733,625,560,066,285,166,859,565,950,045,594,820,
786,665,508,487,563,165,425,378,051,335,346,172,005,312,081,285,952,952,109,
763,027,504,433,477,442,353,771,051,883,453,639,127,352,767,448,266,171,142,
029,803,606,425,866,438,961,426,071,577,013,977,237,272,130,066,750,764,480,
468,190,673,679,523,437,064,536,693,128,919,484,531,809,068,771,070,102,296,
919,524,034,448,686,485,091,746,968,791,975,261,999,822,287,807,626,268,585,
495,671,031,695,631,574,522,676,627,820,867,051,566,689,558,445,232,683,956,
231,320,860,169,147,067,188,291,675,333,924,506,870,219,328,089,218,440,375,
192,854,099,502,258,847,840,985,158,143,706,418,561,976,145,060,716,200,764,
256,631,912,040,358,996,081,502,151,655,884,311,985,246,534,386,957,338,514,
354,509,499,027,216,797,944,709,056,850,340,774,703,224,845,900,584,021,747,
709,391,665,972,864,806,401,896,238,521,944,629,395,978,507,242,845,138,072,
003,399,286,161,252,576,043,795,884,643,908,244,623,232,921,945,012,846,549,
844,580,187,712,520,151,193,431,297,359,048,922,517,460,248,588,008,750,556,
189,537,129,618,274,142,207,975,831,190,487,724,465,176,145,335,303,403,257,
684,033,238,587,889,737,216,977,984,034,574,680,890,300,330,657,821,619,141,
825,153,138,379,332,984,966,428,263,329,323,898,519,323,003,480,628,113,227,
442,594,154,166,676,440,412,178,586,881,927,728,158,132,300,581,453,594,229,
692,872,935,125,186,593,968,637,925,119,682,271,747,536,654,752,291,326,030,
195,207,471,577,550,717,928,826,390,666,275,998,678,869,407,033,683,741,850,
130,996,049,537,714,799,363,664,455,808,599,091,270,815,335,353,601,291,536,
562,706,194,956,579,956,226,825,045,207,548,787,157,926,699,584,858,209,527,
457,707,869,219,141,764,642,095,651,092,059,325,651,885,351,469,734,299,052,
223,112,137,460,374,343,914,417,641,564,645,055,087,975,860,917,532,000,401,
451,545,128,642,438,192,747,382,697,333,920,328,561,843,570,862,626,478,845,
013,274,060,693,309,852,831,111,178,209,790,708,388,161,908,964,239,333,199,
321,912,597,398,983,555,259,853,961,885,735,070,336,242,174,047,437,180,958,
971,976,841,780,379,661,390,724,209,343,329,180,641,247,865,112,992,170,181,
481,828,641,337,222,491,293,167,388,405,058,108,153,144,204,411,721,679,833,
778,464,033,958,764,827,016,817,149,978,710,572,093,035,872,458,311,688,729,
126,763,235,347,885,047,499,876,396,048,145,794,397,104,468,809,505,989,392,
090,395,703,399,117,417,550,894,302,247,389,590,364,396,722,042,545,418,770,
037,831,838,555,136,444,846,614,248,277,842,073,586,124,294,377,070,651,743,
016,314,348,437,565,694,332,235,664,604,407,297,570,955,666,761,199,951,865,
231,612,786,615,284,044,791,857,949,668,025,457,324,002,939,171,265,590,111,
014,458,868,248,479,647,680,062,823,251,074,337,362,953,725,134,378,784,294,
917,942,092,106,988,247,766,903,293,694,100,530,545,853,853,922,433,542,120,
101,548,823,341,505,074,075,794,228,320,360,213,986,836,667,422,165,070,845,
726,282,157,885,103,139,374,257,152,645,242,864,209,869,169,677,089,444,944,
945,617,684,509,629,093,980,220,222,568,698,508,166,902,088,076,710,016,566,
617,254,168,618,254,322,723,589,461,122,115,416,582,306,530,360,724,258,397,
303,921,055,661,247,288,035,968,858,101,493,405,717,522,868,624,951,194,720,
327,386,661,845,373,140,184,270,818,572,018,210,399,470,529,817,688,197,812,
481,781,180,501,128,368,364,481,838,910,725,330,930,403,933,755,147,155,601,
545,974,679,303,362,580,292,648,901,884,634,983,341,875,080,538,655,015,146,
014,733,925,503,952,932,320,226,974,734,640,985,072,066,425,864,258,187,652,
694,749,408,649,458,802,581,948,756,356,238,133,058,187,172,974,640,630,605,
459,771,818,845,873,309,133,534,828,727,869,127,224,781,721,229,136,960,182,
686,467,114,829,231,503,108,083,081,873,753,096,262,870,458,165,518,680,316,
397,852,754,341,046,144,230,517,555,412,581,912,151,323,930,143,998,013,490,
825,494,920,094,807,746,627,302,549,296,106,752,394,208,762,315,109,129,089,
659,985,183,549,595,185,983,176,684,951,784,365,860,427,121,333,960,079,327,
784,574,353,911,900,945,792,760,084,599,452,029,994,308,373,167,719,286,162,
365,427,650,546,372,593,714,175,692,845,643,328,512,093,036,676,406,320,801,
471,479,873,086,989,154,525,216,497,565,561,188,496,205,501,478,130,844,779,
733,245,434,816,032,498,392,953,785,936,325,070,335,593,576,663,873,049,404,
788,114,665,777,037,221,863,796,536,423,708,924,742,198,192,555,667,605,275,
189,105,002,159,517,897,030,089,756,670,578,230,192,764,569,083,995,371,481,
111,865,990,473,303,058,355,651,727,835,448,208,512,328,882,568,108,194,188,
495,569,805,951,356,263,519,583,283,961,401,364,370,403,189,726,705,933,084,
301,215,117,338,063,203,363,609,501,602,583,983,731,517,538,616,936,477,719,
619,194,078,103,303,797,101,150,228,277,039,854,700,862,384,663,122,561,038,
099,095,966,465,058,903,636,766,954,659,172,033,267,193,708,937,814,479,051,
395,500,905,943,514,687,684,607,755,113,508,530,620,956,671,633,456,067,056,
103,483,967,754,881,331,790,186,227,619,521,454,182,855,584,755,292,558,240,
327,464,641,508,275,511,921,223,244,978,614,564,045,982,440,642,362,943,250,
291,698,360,623,946,000,099,567,667,983,238,452,481,587,340,485,155,870,973,
883,484,750,960,501,904,176,425,535,561,652,364,656,571,938,404,814,700,572,
835,387,955,245,753,844,176,363,648,365,150,925,204,476,511,597,969,102,533,
052,078,304,216,087,483,981,828,225,426,381,339,287,520,749,272,688,836,519,
186,330,005,346,438,012,688,831,771,015,031,834,847,726,867,203,215,690,072,
147,664,209,786,725,871,590,014,800,633,263,705,852,634,057,084,624,128,341,
421,915,065,597,132,952,692,959,780,151,712,113,592,721,830,202,626,545,409,
420,742,313,347,560,513,001,199,447,010,153,221,881,572,095,810,074,966,323,
041,762,989,684,821,099,409,818,086,717,195,745,689,648,967,044,109,141,385,
078,562,220,631,084,704,433,576,597,483,869,418,810,113,224,539,659,496,410,
071,811,107,167,006,028,720,118,057,424,443,357,374,040,007,587,516,934,394,
092,310,473,586,714,201,573,851,894,513,506,379,598,486,217,982,729,909,943,
562,971,994,399,441,366,699,746,394,144,514,396,713,868,434,425,761,576,968,
124,097,877,295,110,545,716,200,170,432,287,337,460,751,036,552,026,213,295,
311,567,872,361,696,478,814,363,309,336,173,708,944,081,880,355,813,098,005,
400,362,780,534,110,668,859,939,113,663,206,823,258,142,463,772,657,322,044,
640,676,107,259,260,700,818,723,631,678,390,926,440,767,721,351,377,173,670,
864,481,097,114,475,108,591,657,684,731,370,316,384,440,412,569,825,171,744,
063,167,415,272,809,443,801,597,549,843,365,344,039,202,000,238,452,636,987,
031,523,032,100,831,645,513,605,174,145,264,771,926,260,993,222,641,488,684,
824,633,565,418,882,986,997,339,319,105,139,735,331,025,171,646,631,031,683,
681,351,187,947,693,350,568,507,910,430,821,366,020,961,286,112,977,347,671,
904,540,759,609,797,897,144,842,746,266,290,906,188,505,749,368,229,015,760,
418,294,876,413,455,976,351,850,820,227,454,263,398,528,473,388,875,462,574,
721,319,914,093,117,478,103,219,838,246,432,561,016,280,991,117,729,839,479,
895,703,505,834,193,096,934,942,709,634,963,219,485,722,952,475,957,897,313,
384,294,325,026,621,221,356,902,500,626,479,481,055,423,217,143,159,981,168,
158,895,938,000,085,591,678,519,562,443,853,015,729,899,011,781,082,974,051,
775,095,932,315,684,636,825,133,895,570,337,762,163,851,249,981,664,049,888,
648,183,171,113,378,178,990,616,119,567,917,060,597,338,829,236,032,202,619,
093,853,895,858,658,419,056,214,687,081,276,012,600,093,734,624,390,503,458,
273,973,877,924,023,740,027,876,231,561,486,689,409,035,876,162,078,037,457,
948,230,367,381,013,095,377,469,227,584,820,736,833,544,340,694,542,033,860,
607,603,954,085,835,106,035,319,318,716,448,028,910,215,121,742,999,257,679,
025,129,872,786,946,604,105,426,464,713,555,991,755,082,697,873,150,041,926,
517,163,258,282,949,716,559,858,134,487,430,896,087,182,911,603,447,211,489,
319,538,703,905,146,070,229,884,314,276,570,666,268,398,444,275,511,899,592,
162,423,420,104,723,393,263,229,128,662,455,409,260,727,564,291,713,898,458,
949,476,050,512,395,456,718,346,819,671,122,110,889,957,852,961,698,318,431,
819,047,225,343,060,783,051,140,727,917,804,098,168,688,954,342,477,951,685,
649,664,837,003,464,549,291,554,323,872,613,219,988,359,945,992,619,949,446,
886,446,372,946,751,981,166,166,723,018,491,734,241,339,506,729,196,836,628,
837,561,858,103,554,514,994,845,492,627,455,717,780,861,291,232,494,770,232,
258,259,278,020,581,662,357,386,208,795,657,998,708,880,329,185,446,646,811,
514,582,885,578,478,642,086,017,520,755,681,729,768,729,249,394,907,266,568,
382,313,925,969,378,807,994,739,561,454,878,479,596,330,551,047,022,740,362,
708,330,047,894,684,862,641,764,024,017,985,721,719,423,823,139,255,398,854,
879,125,462,160,369,651,300,259,264,005,656,344,568,431,681,983,414,166,888,
939,679,992,559,162,716,514,499,514,124,692,315,121,446,847,978,372,682,758,
782,119,213,779,201,852,730,885,539,996,600,274,389,139,119,886,540,183,642,
044,470,959,134,999,391,779,069,194,912,652,353,271,578,794,087,228,629,890,
162,093,486,128,447,290,674,522,488,645,513,300,485,547,881,719,138,351,271,
834,934,028,990,290,625,604,650,369,783,368,104,686,432,312,210,649,007,615,
061,407,835,549,942,543,713,933,505,311,930,457,299,824,908,246,644,725,123,
151,705,713,764,537,272,389,851,242,956,802,583,976,529,370,754,793,360,243,
407,056,454,050,487,389,961,625,637,958,911,953,554,599,078,242,525,313,166,
633,710,685,575,772,634,612,272,399,684,103,907,956,604,468,084,868,441,886,
082,604,877,259,653,695,305,676,242,323,538,827,544,191,785,350,859,511,227,
366,832,530,401,836,805,211,785,435,594,965,022,949,280,616,895,420,754,521,
046,780,992,117,857,763,503,157,170,762,130,258,754,989,686,428,402,422,677,
253,104,423,234,368,295,562,676,327,085,788,954,166,597,808,966,210,255,239,
000,072,642,637,415,108,526,758,564,440,257,855,199,346,853,222,098,105,306,
268,322,020,604,815,449,670,358,494,999,997,900,890,827,181,798,102,544,970,
146,838,961,094,500,363,317,491,560,526,644,714,555,122,026,496,389,435,373,
920,291,860,129,595,789,445,327,668,976,574,929,010,877,843,136,766,195,123,
532,214,963,014,060,096,800,375,063,422,759,265,703,695,888,980,242,806,257,
340,330,856,176,601,428,690,162,325,768,283,009,162,204,178,612,851,582,051,
336,731,008,333,407,874,148,804,364,985,630,099,434,468,363,636,583,324,864,
536,840,213,833,582,450,669,802,536,974,935,828,093,474,141,722,730,029,034,
770,104,077,951,346,563,907,110,990,288,263,834,312,323,753,509,158,645,775,
051,301,580,410,519,217,541,775,887,214,362,261,941,601,934,055,430,697,464,
025,901,632,957,997,648,268,890,552,613,381,435,020,603,926,066,067,395,304,
285,676,409,623,232,180,231,665,832,294,053,805,785,775,522,499,123,851,116,
587,926,604,472,888,210,439,590,919,573,149,646,108,840,365,916,017,810,147,
639,432,407,760,193,961,291,081,242,130,002,705,906,713,667,428,055,965,262,
601,653,568,090,300,281,169,807,097,195,715,709,025,269,676,426,031,989,650,
427,385,685,580,867,784,509,249,357,090,296,986,976,988,456,644,212,796,213,
701,268,521,077,719,381,511,584,903,234,849,008,762,866,835,486,149,132,494,
630,671,759,553,674,113,667,535,478,284,611,044,645,975,621,422,421,653,109,
420,140,144,653,616,938,292,553,515,666,344,184,875,776,179,270,772,954,382,
758,058,789,083,776,677,118,340,252,977,998,016,977,396,773,216,544,618,943,
967,121,178,187,714,592,177,746,609,609,296,740,059,084,066,099,007,210,718,
186,932,189,004,736,400,701,535,702,701,910,930,545,606,596,604,598,078,193,
849,531,990,466,601,147,301,438,559,813,084,445,060,362,474,113,352,510,681,
557,051,856,049,677,205,836,248,949,704,552,673,146,018,890,385,975,063,536,
580,925,910,730,144,512,224,689,999,607,207,375,078,760,561,896,527,203,284,
517,535,503,630,630,745,186,877,794,175,028,857,090,852,558,185,168,638,858,
047,970,569,717,992,273,628,351,327,707,465,445,005,578,664,626,255,066,283,
982,394,067,223,751,588,950,291,404,960,641,320,612,401,667,016,888,273,214,
038,464,968,019,403,352,975,184,623,044,207,220,056,374,288,988,312,982,437,
837,570,193,688,977,265,372,422,418,438,642,630,590,195,646,566,862,025,840,
724,393,432,320,470,816,164,163,505,959,133,627,203,214,348,463,067,256,331,
214,265,863,289,668,027,698,713,584,439,213,339,203,074,829,296,293,554,549,
500,936,543,965,564,164,476,707,614,296,150,880,662,154,451,857,522,114,818,
653,702,735,979,657,393,305,986,808,038,475,651,567,984,811,168,282,358,871,
319,784,481,232,756,107,648,169,727,904,810,782,957,103,526,798,806,743,099,
867,774,444,837,628,521,215,664,825,255,424,554,628,592,722,266,846,745,693,
453,823,927,459,801,111,660,196,378,452,946,232,988,945,136,241,308,894,028,
586,307,259,021,036,715,072,922,207,024,087,959,968,180,655,463,123,128,804,
635,487,377,417,299,718,169,292,325,898,019,086,093,227,081,626,487,973,117,
619,521,323,620,374,706,086,596,549,790,585,979,265,073,209,798,007,465,194,
081,163,855,226,311,949,151,347,424,824,699,775,927,555,322,659,222,604,783,
190,665,468,393,024,006,871,961,101,168,048,250,671,336,350,645,691,619,731,
739,228,011,676,014,376,325,341,474,006,452,877,200,159,408,134,442,032,707,
210,717,378,641,899,466,402,780,467,070,947,092,145,063,877,606,415,315,924,
474,525,530,761,463,206,240,559,568,379,646,493,917,765,778,363,219,692,822,
850,968,833,365,031,496,285,820,845,349,490,724,130,717,606,882,979,227,861,
360,920,902,782,315,202,352,854,633,166,503,682,986,084,268,242,688,334,945,
872,821,165,788,884,710,128,150,237,854,109,180,541,598,077,222,072,594,886,
409,814,729,836,733,846,543,830,968,840,292,035,191,604,197,682,414,564,450,
889,303,031,507,773,559,610,461,391,772,731,028,483,794,353,586,186,880,917,
471,844,510,191,020,241,038,717,023,768,798,382,152,140,306,850,230,147,540,
841,669,960,908,136,548,318,288,846,976,803,407,354,479,733,223,782,670,532,
750,315,459,824,521,325,953,370,158,985,258,570,546,675,497,752,141,587,265,
082,040,113,856,566,611,393,718,859,976,869,580,105,754,149,733,133,794,820,
555,414,627,249,252,696,047,334,711,967,030,038,732,875,464,009,468,032,449,
811,849,045,328,833,792,011,419,603,691,926,405,065,119,522,535,940,495,114,
966,786,548,826,265,335,077,339,880,379,407,333,021,521,336,215,300,065,796,
724,131,699,819,520,748,335,954,821,447,137,505,777,625,191,550,897,087,823,
750,891,458,928,824,638,363,475,827,295,231,035,712,423,862,817,220,974,820,
644,605,018,807,202,473,214,765,913,413,683,949,942,374,105,595,228,951,790,
322,114,512,888,653,246,104,476,055,460,515,128,663,128,412,254,125,121,979,
373,523,861,860,880,804,551,800,143,652,319,342,698,358,087,257,619,352,776,
765,058,140,354,386,089,538,680,267,503,619,985,350,016,460,676,316,234,794,
450,094,575,375,218,855,666,074,905,052,314,503,864,961,517,945,647,244,333,
534,295,066,295,282,796,704,442,577,117,573,229,698,217,349,073,934,050,818,
530,515,618,187,625,833,357,100,680,974,763,161,848,605,773,871,722,487,192,
657,923,870,757,294,511,832,307,742,675,109,914,441,725,812,466,525,090,761,
834,003,714,203,735,919,901,540,923,765,742,543,514,839,476,076,862,247,306,
068,020,243,368,852,791,905,109,404,723,910,730,314,229,393,955,716,893,651,
678,661,341,311,093,273,091,604,256,578,268,974,667,347,867,169,806,578,169,
218,821,679,718,242,108,915,206,538,702,979,484,771,760,870,857,789,181,706,
128,616,436,846,656,914,670,994,055,953,252,166,792,282,722,026,642,848,864,
211,962,206,960,541,794,766,619,164,418,174,376,920,369,123,950,904,328,963,
947,966,277,371,272,854,297,496,610,188,631,023,178,087,252,223,891,696,887,
559,596,016,688,634,898,524,274,862,553,747,823,586,612,790,438,267,361,412,
204,453,374,820,645,032,727,136,442,077,798,981,009,766,248,783,694,832,615,
773,601,452,084,084,787,827,634,758,460,007,810,704,830,783,052,845,134,060,
812,394,424,415,279,545,395,600,158,358,219,827,457,796,321,780,432,658,762,
303,934,975,005,010,906,382,632,333,371,364,723,266,391,127,436,007,940,571,
458,646,607,588,035,844,720,503,049,361,281,327,237,772,555,495,981,119,580,
511,394,078,084,159,780,489,610,910,784,646,596,042,506,426,278,408,978,907,
168,990,471,181,840,871,254,095,405,083,202,517,963,261,531,025,417,741,566,
796,083,954,042,976,152,753,303,700,565,208,846,943,593,842,373,181,204,045,
602,063,344,489,603,972,992,664,092,500,820,047,041,210,930,249,695,061,171,
483,582,516,014,608,314,933,206,674,912,866,015,181,379,279,928,873,330,406,
879,253,167,517,978,291,886,226,535,022,988,507,433,497,056,756,073,907,253,
310,716,651,320,597,213,577,562,640,486,098,390,914,466,701,683,252,204,904,
396,868,966,903,433,128,921,605,905,373,432,646,875,202,107,592,250,424,251,
550,040,655,827,229,602,048,952,306,451,491,266,277,251,159,127,620,524,239,
204,852,322,707,543,786,622,072,845,757,513,819,160,281,033,298,751,253,607,
770,079,887,366,230,898,961,431,959,279,004,143,319,757,902,644,803,192,479,
095,569,171,054,810,863,862,364,229,763,595,783,173,260,398,860,113,709,082,
247,459,772,609,383,878,373,775,908,909,941,697,588,091,947,761,837,661,080,
858,545,542,239,343,753,235,577,423,413,778,652,357,400,181,710,659,460,669,
790,810,369,428,981,333,941,560,341,061,265,082,865,028,356,308,341,593,958,
706,658,696,110,998,653,747,496,827,838,597,185,130,260,970,401,819,458,585,
357,996,457,878,786,624,775,312,909,823,496,098,291,267,655,019,435,284,590,
972,720,026,699,588,157,623,504,889,947,286,344,469,191,525,933,045,810,787,
177,456,142,718,076,651,194,566,574,855,049,528,276,627,763,392,948,815,242,
978,809,745,265,010,151,685,440,427,612,109,669,922,841,462,617,188,571,269,
460,072,910,135,206,059,726,708,734,705,804,753,891,400,039,688,746,485,198,
602,116,005,526,981,276,190,171,260,502,516,929,587,203,453,840,505,203,173,
461,174,854,384,586,341,150,706,488,973,190,342,615,800,270,023,388,035,536,
556,814,263,450,724,728,377,887,912,063,075,357,352,809,285,971,611,137,471,
087,422,351,894,920,265,050,360,155,866,845,116,458,867,622,984,530,946,194,
922,692,005,266,860,084,892,779,488,723,666,177,859,138,288,641,522,594,981,
349,900,801,647,880,261,990,429,502,326,295,096,465,521,148,852,233,567,249,
026,181,968,047,680,364,079,478,702,692,356,197,530,396,797,466,952,355,208,
592,292,216,018,133,246,148,957,239,309,387,535,372,760,135,798,523,954,076,
883,487,623,770,986,412,970,887,687,819,909,499,913,339,500,341,853,579,252,
083,138,599,072,224,038,759,760,930,340,800,199,935,899,305,235,200,964,154,
654,446,430,522,926,638,757,468,886,068,071,468,147,254,277,181,172,822,799,
320,679,323,948,526,696,548,175,794,824,343,749,608,738,436,239,757,561,855,
813,493,189,220,472,165,812,090,518,389,770,608,251,476,940,013,606,925,316,
434,404,743,817,736,831,645,653,097,780,509,469,917,455,520,611,348,128,139,
060,482,036,933,328,213,226,117,518,958,873,403,718,510,542,604,915,748,376,
295,330,485,517,816,700,552,098,507,345,113,113,653,715,842,415,401,911,944,
755,000,026,083,698,953,033,923,900,065,988,623,304,592,798,772,411,246,145,
817,404,974,499,128,310,975,313,264,459,596,912,481,725,892,870,364,245,730,
039,832,322,687,107,720,847,301,258,352,100,290,029,555,025,619,357,366,011,
531,472,995,974,751,975,126,774,364,576,678,610,821,261,615,883,086,247,011,
495,950,626,088,275,174,593,035,602,387,853,049,352,942,795,262,712,580,836,
195,522,369,225,130,849,942,785,824,790,885,609,745,862,379,538,320,574,151,
902,272,925,955,791,997,240,103,546,058,763,650,354,610,166,831,270,079,554,
307,010,220,945,603,647,416,397,499,077,815,417,785,022,733,637,065,705,449,
203,673,533,072,472,362,449,566,766,661,956,237,767,205,387,528,334,394,242,
954,042,842,852,727,732,429,048,883,355,968,035,359,503,043,847,284,727,402,
281,304,667,906,972,987,302,693,264,606,478,547,915,017,573,097,839,348,055,
733,596,420,532,519,631,691,579,507,530,527,329,163,794,944,615,464,328,494,
935,869,460,792,468,874,081,947,608,407,837,881,776,612,056,164,440,333,274,
385,417,154,213,397,891,990,026,318,045,797,608,827,956,356,034,760,854,721,
156,433,218,623,508,040,363,621,121,353,052,106,499,251,259,397,383,429,767,
076,781,056,474,619,196,309,807,832,302,551,870,435,207,607,531,302,518,523,
623,544,155,687,736,398,946,867,640,677,772,131,614,424,574,504,594,019,753,
205,684,027,254,764,406,375,286,698,905,403,540,286,834,282,394,263,155,321,
460,531,232,186,246,558,435,768,301,421,919,728,391,523,110,117,290,938,029,
454,287,993,471,831,576,898,987,703,475,630,631,488,560,952,161,518,193,190,
271,602,249,642,090,142,840,777,649,042,954,466,650,411,289,221,830,701,981,
140,085,741,228,676,736,137,373,614,852,270,937,020,587,819,972,526,539,479,
052,304,299,140,377,687,165,692,069,335,489,884,854,002,893,823,011,898,029,
352,060,989,738,460,912,178,027,204,608,405,261,726,816,990,508,127,266,888,
382,544,969,911,410,748,636,912,950,190,392,424,833,044,866,384,416,340,547,
903,497,074,266,361,914,645,597,947,988,042,983,015,700,011,498,384,481,187,
707,551,406,749,424,695,574,219,793,612,899,370,069,686,328,818,639,442,869,
333,011,468,760,840,672,061,760,306,146,446,732,170,410,093,018,310,228,762,
411,117,858,452,847,664,110,163,256,315,747,754,431,206,010,710,937,369,985,
696,169,691,425,995,669,161,595,162,381,884,043,733,052,301,368,304,708,331,
409,974,795,975,844,625,153,642,673,624,116,708,953,531,388,317,696,520,385,
617,276,799,218,909,159,024,462,505,022,913,626,668,060,708,814,051,660,986,
588,305,465,276,692,425,379,309,937,924,322,951,169,967,102,815,937,268,494,
694,061,441,292,043,925,709,813,675,600,135,897,839,479,017,005,260,370,161,
744,991,625,658,332,191,460,182,081,074,645,362,498,740,643,632,034,331,169,
633,930,653,317,319,261,084,905,237,357,818,974,986,599,957,253,628,775,873,
590,084,287,024,430,769,177,689,972,416,579,416,394,343,902,974,048,736,327,
687,274,754,341,469,667,548,150,842,473,295,978,936,156,591,251,836,302,140,
194,529,275,309,387,265,630,627,662,279,719,563,951,585,593,065,914,225,171,
247,606,396,287,186,629,451,756,026,444,475,034,409,160,614,062,858,476,720,
250,214,003,056,978,020,866,991,593,052,645,269,465,857,691,368,953,377,654,
195,617,167,531,785,148,493,948,867,749,048,978,932,878,273,713,324,169,509,
275,325,990,122,984,051,743,929,274,207,288,902,470,992,523,912,530,479,582,
612,104,326,783,680,310,800,027,335,782,837,586,696,976,002,302,757,100,460,
968,874,169,956,682,587,743,966,869,713,986,866,388,606,884,555,580,997,528,
261,721,886,995,853,242,274,396,644,325,256,991,842,217,556,085,119,285,922,
352,244,415,595,307,827,916,659,981,050,927,630,846,125,818,561,868,499,687,
313,136,399,183,635,916,273,516,156,451,214,897,026,855,720,863,738,050,589,
258,464,101,030,026,066,326,363,231,960,338,002,343,610,383,589,200,708,405,
496,532,541,175,026,089,765,008,578,186,980,304,988,008,563,853,571,176,906,
037,621,845,940,763,178,715,620,595,890,593,618,681,472,803,448,909,309,041,
796,000,238,304,498,713,957,332,554,837,073,915,028,167,490,619,066,253,871,
959,726,977,228,398,506,855,066,199,095,375,240,166,583,048,585,851,068,726,
891,122,026,981,798,697,285,990,016,135,185,603,694,410,210,789,040,858,178,
676,100,345,252,929,228,946,613,212,333,203,985,973,295,985,303,367,899,493,
879,334,180,903,722,618,522,666,331,452,392,070,310,195,195,291,829,037,823,
911,919,433,123,695,093,522,892,421,758,998,747,307,080,521,373,329,409,268,
624,762,127,350,369,633,700,648,473,761,863,315,189,443,957,756,879,947,084,
443,276,838,754,278,457,352,982,746,504,842,409,932,150,859,359,896,026,699,
576,345,438,129,928,191,116,100,823,337,677,750,424,861,452,760,597,663,616,
393,797,578,039,899,813,176,523,490,101,282,458,360,688,407,710,692,839,874,
254,369,990,956,494,137,435,758,529,319,096,063,584,798,212,573,760,170,876,
348,454,860,278,587,016,049,117,902,568,999,703,459,162,283,802,705,086,144,
886,548,400,452,444,103,625,817,702,308,226,231,684,428,164,400,486,243,510,
012,884,806,527,496,062,598,740,847,878,751,976,506,726,454,790,923,039,345,
839,817,730,194,805,511,877,831,140,471,554,994,002,463,920,786,226,203,746,
360,800,402,428,117,175,161,324,102,745,455,903,188,819,395,515,924,252,858,
069,587,825,605,770,193,626,191,775,638,200,933,544,385,692,677,130,686,393,
063,303,748,226,187,419,498,725,724,621,445,342,024,107,882,940,977,768,546,
828,794,681,107,906,179,824,084,865,073,240,275,935,371,133,810,069,577,285,
997,219,460,219,984,644,315,426,194,698,481,355,408,378,632,987,072,493,014,
095,651,479,713,666,918,471,406,341,739,794,177,869,312,112,035,379,305,358,
989,635,259,609,829,686,179,447,214,840,084,636,900,271,986,821,067,746,176,
813,468,538,481,668,766,460,043,302,572,300,313,600,082,932,090,038,794,229,
884,933,223,709,753,756,710,486,422,321,575,561,183,458,701,036,568,376,774,
232,676,700,743,749,156,999,660,872,009,673,697,529,617,213,161,684,162,018,
279,807,539,478,151,387,867,528,782,440,681,937,727,227,484,662,573,587,114,
992,158,601,574,569,408,640,267,728,786,592,399,109,099,161,630,719,199,137,
920,769,361,552,762,802,228,747,065,262,972,504,783,241,699,306,008,452,082,
702,949,627,649,973,297,511,269,103,595,770,348,623,525,913,697,571,617,109,
150,227,707,339,904,861,756,958,030,712,374,728,683,235,117,941,613,384,650,
596,477,102,508,144,230,932,702,384,258,810,261,768,603,349,467,937,472,491,
451,550,036,081,600,976,712,119,955,203,729,473,698,484,507,829,976,536,396,
487,912,495,592,350,961,177,786,519,941,279,103,383,417,418,415,488,055,080,
119,787,512,667,392,602,845,909,430,962,315,554,790,022,986,793,188,090,168,
749,402,417,752,533,274,187,213,240,499,760,865,699,746,520,879,074,421,987,
221,397,179,918,162,594,275,834,547,344,319,886,904,528,921,771,519,720,226,
415,481,784,917,167,663,345,698,870,324,506,926,791,091,281,546,653,119,192,
927,832,845,206,176,344,623,474,551,843,669,132,029,756,252,482,991,485,128,
805,059,642,692,783,435,163,068,981,764,961,654,499,047,213,033,660,052,326,
732,511,618,761,902,636,754,359,586,623,410,653,709,103,616,508,517,859,549,
179,292,398,521,064,431,284,128,185,214,982,533,039,855,370,029,127,386,081,
724,518,606,522,658,036,646,922,626,386,840,465,278,666,937,563,488,806,436,
389,770,512,293,135,057,143,675,290,723,949,871,504,638,285,578,012,959,491,
866,521,294,076,282,223,666,356,038,622,127,962,180,819,489,237,979,953,854,
127,141,542,459,259,365,745,259,699,384,534,733,741,877,254,482,447,434,341,
962,433,568,753,246,554,616,364,262,696,868,256,624,520,354,671,133,775,381,
586,863,946,062,468,205,696,765,709,119,294,903,897,617,257,718,915,701,106,
075,555,200,506,550,638,622,923,101,199,328,182,819,881,450,089,495,695,339,
253,791,212,125,558,133,008,860,678,793,809,113,565,468,679,488,020,468,774,
826,716,267,227,794,382,870,260,338,131,713,765,669,195,245,102,072,658,805,
027,919,978,433,792,182,945,290,847,464,930,352,971,199,948,961,245,498,819,
040,056,165,516,961,295,060,122,352,518,354,718,378,957,920,535,190,030,496,
908,089,759,809,642,113,061,952,825,402,399,830,057,787,527,397,935,199,024,
046,019,911,988,177,112,855,355,258,880,881,893,240,993,263,194,115,455,735,
580,822,571,477,926,645,000,319,001,496,813,086,423,189,048,542,760,898,398,
706,775,800,822,021,596,294,992,710,073,183,612,118,911,968,744,797,165,199,
858,216,466,401,019,271,460,354,360,690,326,313,971,472,256,655,482,914,617,
469,277,576,762,125,391,910,983,283,000,105,627,466,148,154,939,871,918,963,
989,991,608,481,771,305,465,800,004,725,918,749,062,505,804,788,191,601,223,
444,707,750,435,026,617,066,254,902,039,943,651,120,282,396,317,231,757,865,
532,198,208,954,228,826,495,767,748,509,285,144,349,524,065,128,138,560,711,
577,313,909,783,517,397,779,610,422,093,125,990,533,455,057,065,830,616,279,
751,382,917,690,082,587,244,319,909,256,769,668,993,836,038,680,590,427,196,
164,434,703,530,230,165,170,927,121,400,912,460,381,830,766,098,418,078,290,
534,507,698,745,758,326,596,185,965,944,218,250,155,761,756,713,523,511,016,
138,795,635,113,351,134,983,966,300,928,164,888,592,813,501,488,129,698,643,
577,713,199,261,772,997,956,231,087,508,614,674,257,015,500,219,481,501,749,
212,442,241,674,969,129,703,224,170,023,379,835,541,650,410,476,404,833,333,
763,449,836,396,497,478,138,750,733,187,485,052,927,332,137,905,777,780,748,
109,751,002,762,702,127,614,915,927,708,501,769,266,930,830,384,631,451,765,
024,695,343,840,545,430,006,038,191,132,820,601,011,075,091,028,038,759,795,
133,773,568,532,456,198,618,016,119,957,079,875,949,414,718,733,091,265,736,
767,047,946,729,793,759,839,319,138,313,335,655,396,358,034,409,354,385,483,
735,575,515,771,809,821,703,076,359,913,514,205,728,643,007,043,576,091,831,
482,300,866,636,290,036,751,210,136,934,386,127,441,650,521,639,521,281,905,
387,414,314,522,419,766,585,524,514,314,041,817,553,053,884,404,548,968,361,
151,206,001,731,753,333,232,007,509,108,564,214,246,776,733,033,428,445,447,
286,227,991,729,026,542,346,481,517,938,712,080,250,244,764,971,258,830,432,
957,177,533,150,754,752,705,400,535,907,725,723,205,571,724,927,196,272,827,
063,051,016,492,362,616,682,144,086,884,216,819,308,969,885,770,999,578,287,
226,396,177,827,057,435,842,344,785,232,283,529,258,135,078,105,945,589,965,
877,616,347,132,820,818,679,124,145,218,022,533,472,633,530,840,291,439,853,
976,981,146,236,034,666,861,206,144,349,710,306,048,834,731,155,658,088,702,
344,141,565,968,466,439,042,223,887,297,068,836,072,956,311,074,240,502,061,
883,201,416,685,787,582,311,992,981,563,018,245,224,078,846,554,364,790,446,
571,962,256,712,876,796,222,634,546,354,514,641,474,302,577,473,187,160,866,
279,582,977,505,974,230,421,350,077,936,908,842,335,121,305,493,812,581,964,
480,906,617,744,550,875,691,513,662,550,331,758,840,296,810,031,495,445,975,
329,708,774,233,877,379,161,853,815,250,995,563,158,120,984,302,468,637,973,
705,230,697,182,438,287,384,205,420,541,385,452,449,357,642,732,294,619,531,
181,698,930,289,780,024,803,265,159,210,778,557,027,276,280,523,229,046,928,
412,722,111,988,516,084,588,580,703,478,212,621,788,039,664,372,331,325,310,
851,642,899,119,319,004,131,895,753,317,407,331,387,115,092,576,862,849,988,
824,570,463,942,192,947,134,404,573,796,826,796,711,378,160,636,167,472,050,
528,962,282,643,467,659,122,751,656,391,223,902,397,981,871,068,038,065,724,
392,335,221,903,466,927,042,336,410,057,536,124,853,875,880,226,625,031,997,
913,536,233,607,478,380,602,562,407,628,453,628,536,819,589,285,571,985,789,
449,914,117,483,443,263,434,665,563,616,194,898,421,202,714,314,173,000,230,
733,985,939,265,785,236,033,756,825,078,597,118,290,940,783,335,442,459,344,
169,555,712,151,186,462,659,626,425,091,304,114,543,372,157,178,154,268,038,
943,997,509,704,583,576,467,342,383,720,924,225,199,421,589,534,321,571,502,
577,092,027,168,551,503,016,531,017,857,228,742,853,824,504,964,466,758,120,
992,259,431,016,874,261,599,956,801,695,963,484,603,979,986,010,790,519,280,
369,833,303,365,424,084,791,016,480,482,572,104,703,026,136,488,432,278,205,
201,220,279,259,453,607,971,914,980,401,387,096,624,872,571,731,377,606,853,
434,166,010,433,928,745,871,014,273,774,414,675,193,342,016,493,408,023,452,
356,850,435,230,958,980,531,765,406,522,788,403,977,291,144,020,053,149,231,
005,035,125,665,758,884,331,662,955,410,447,673,378,326,413,015,425,262,108,
474,776,098,157,647,812,786,264,677,436,871,131,631,766,626,932,673,655,715,
571,589,887,919,170,068,147,441,801,272,784,790,182,467,031,714,352,109,329,
688,769,319,450,358,205,079,704,636,619,925,128,780,017,812,563,145,734,893,
544,567,645,895,390,343,293,124,249,901,610,056,255,193,232,123,847,811,473,
668,547,939,732,417,183,986,145,228,154,048,486,449,757,886,096,717,031,276,
097,981,227,063,063,400,398,957,641,085,235,257,335,018,788,814,948,583,235,
371,977,424,218,982,112,839,811,661,703,393,903,185,697,419,947,087,179,830,
488,852,099,542,028,746,560,030,960,631,416,825,076,641,133,795,494,684,095,
547,137,293,928,132,277,211,311,383,110,946,520,248,401,162,217,526,764,839,
559,571,043,897,255,195,527,951,193,583,692,575,817,433,489,202,807,521,243,
910,051,703,264,239,863,880,849,657,045,670,591,349,513,987,477,930,851,845,
843,523,230,042,860,950,937,192,814,587,314,544,891,041,899,930,569,521,270,
662,975,834,668,414,558,955,353,036,664,259,912,214,042,186,509,323,133,086,
351,985,139,018,418,346,713,653,135,059,786,310,878,874,666,330,103,292,508,
016,867,656,615,738,169,149,034,352,056,630,243,355,828,837,701,748,231,583,
545,631,923,105,260,067,588,692,892,176,388,609,227,947,615,309,554,337,219,
874,047,793,397,589,572,901,572,379,668,879,722,206,096,556,646,127,384,318,
250,876,363,059,575,347,185,648,848,907,196,655,932,461,272,794,805,134,489,
974,158,754,316,044,882,270,526,521,668,634,996,583,720,711,851,629,661,204,
385,348,813,776,839,596,783,033,748,318,185,475,206,879,649,928,353,609,255,
400,337,626,302,572,653,293,460,366,006,880,338,470,741,213,718,456,864,020,
639,840,904,933,964,849,420,456,988,097,592,890,570,220,032,694,310,732,431,
345,835,089,132,110,534,004,890,247,528,799,545,408,337,566,658,384,991,012,
486,240,722,637,294,678,368,958,604,196,199,268,538,359,370,811,478,149,297,
699,159,236,053,880,699,425,514,652,109,083,472,359,551,047,492,767,848,390,
264,657,251,074,792,928,357,172,724,760,695,179,875,823,206,246,934,866,634,
481,536,669,283,889,025,771,399,689,312,637,679,999,518,797,853,081,882,154,
011,299,991,246,739,998,226,426,484,503,189,526,441,437,926,174,452,476,223,
812,537,485,028,092,952,266,722,630,027,669,108,683,749,686,091,105,396,627,
101,387,297,077,960,755,152,308,389,434,339,101,067,029,483,896,074,056,757,
054,584,475,966,096,545,205,841,017,983,433,381,546,878,419,397,183,945,930,
008,206,468,133,626,436,558,815,028,608,670,431,186,616,464,845,964,885,517,
570,768,147,926,255,512,931,801,687,951,830,517,860,771,719,236,074,557,854,
825,291,880,678,497,955,083,867,845,604,535,075,931,863,137,590,405,625,536,
487,403,131,847,038,570,228,056,147,063,785,823,094,536,927,305,970,439,050,
800,413,517,000,109,899,685,760,225,909,759,815,778,232,223,791,513,991,970,
637,264,165,693,306,849,009,681,293,481,596,177,266,700,240,724,474,867,040,
028,335,760,929,215,160,469,439,872,191,294,707,945,670,986,456,851,675,861,
408,223,142,665,123,056,575,924,229,425,084,869,823,067,138,589,473,552,501,
608,982,335,004,822,754,569,015,150,051,600,696,791,158,091,596,573,387,256,
739,487,723,135,401,318,457,729,522,506,508,713,309,833,305,407,087,521,445,
671,485,647,031,945,187,488,069,702,878,500,879,821,723,566,884,259,399,519,
292,962,307,359,129,557,992,213,464,119,156,121,697,487,834,997,551,515,817,
037,933,408,575,668,578,949,570,108,965,382,626,069,974,752,013,310,946,214,
412,411,932,740,044,044,606,189,988,897,514,049,974,312,626,280,508,865,624,
443,445,654,572,323,861,339,588,121,852,796,451,211,022,400,007,548,826,934,
686,368,479,137,599,788,028,674,788,516,657,547,774,345,882,543,453,889,022,
425,839,012,429,984,046,236,910,019,565,982,995,989,754,844,963,217,609,033,
312,302,421,058,669,991,039,173,802,186,401,406,416,377,988,465,989,035,143,
605,712,459,520,526,787,109,031,634,181,586,772,057,936,338,852,777,321,213,
113,293,081,709,421,518,213,910,962,137,115,768,367,585,827,388,367,248,347,
732,218,906,720,773,332,632,288,760,047,841,726,154,114,861,339,164,849,640,
704,880,186,151,517,784,765,525,958,605,159,667,033,505,925,309,458,136,139,
395,414,975,463,048,897,178,298,792,935,588,907,942,218,063,285,813,346,420,
921,486,010,476,752,911,237,132,806,205,146,940,751,033,784,830,809,379,606,
639,909,222,589,947,380,307,224,212,382,893,604,000,420,316,141,584,646,292,
245,202,966,244,443,570,995,819,216,490,439,866,585,358,110,297,596,524,338,
470,221,667,209,180,390,619,969,653,360,140,032,479,186,946,363,261,585,249,
018,031,994,741,240,936,498,498,641,840,607,025,692,430,057,607,039,278,570,
602,111,459,788,294,110,939,732,105,042,814,727,910,505,800,473,919,408,768,
639,662,968,866,770,795,271,873,347,329,361,572,222,029,390,866,858,004,879,
254,405,180,711,079,872,035,970,267,706,752,060,613,585,571,895,610,144,809,
001,118,245,128,220,831,003,841,205,193,897,363,292,031,107,434,290,603,592,
942,454,062,594,796,709,087,145,563,932,581,765,586,114,534,924,540,216,253,
401,881,610,203,156,133,769,118,801,939,253,862,322,021,889,218,072,039,430,
479,855,473,099,954,536,688,258,068,072,156,942,363,757,070,751,930,549,394,
317,709,549,419,501,509,242,800,325,569,981,883,818,244,151,486,194,397,112,
553,345,150,017,943,696,108,955,019,856,877,990,741,001,538,694,376,582,106,
550,819,579,949,906,289,618,126,609,683,055,752,772,674,132,090,364,154,579,
229,109,208,704,399,778,294,018,853,451,830,447,934,395,431,929,567,012,280,
527,820,362,190,341,246,121,440,045,963,702,443,992,656,183,851,173,358,219,
501,573,623,789,854,781,872,547,087,524,983,188,683,017,697,816,016,530,295,
052,817,698,741,949,726,063,746,786,239,243,906,402,620,875,188,719,741,392,
623,254,821,950,405,335,358,375,718,154,011,563,333,222,054,024,379,394,839,
425,117,723,085,577,939,786,589,015,473,858,459,841,470,101,734,329,238,647,
878,471,159,177,933,882,664,139,539,462,699,841,550,996,885,760,816,189,296,
904,429,174,413,471,212,341,344,501,212,764,713,508,024,934,266,400,521,740,
109,738,089,089,730,421,607,506,621,399,501,318,900,269,034,450,792,013,527,
938,220,350,986,773,347,829,392,062,072,948,663,451,532,861,271,543,893,000,
994,157,288,626,906,914,575,038,759,244,219,639,068,511,793,376,974,192,822,
789,945,804,853,802,440,019,741,691,169,452,830,305,836,657,799,395,921,012,
803,123,811,251,407,602,104,362,530,140,954,449,109,936,156,324,170,664,642,
064,282,490,184,027,295,107,914,753,464,021,325,843,248,883,444,565,066,915,
627,755,573,517,601,842,284,570,827,017,644,942,408,418,062,802,428,854,516,
919,541,337,151,281,855,440,017,328,760,213,139,250,605,695,872,540,948,628,
081,424,904,021,314,292,877,254,020,251,834,940,318,690,196,944,405,323,959,
531,469,739,513,190,940,242,411,713,663,872,796,087,187,301,715,067,896,998,
205,520,594,979,490,645,122,885,673,617,749,041,397,422,721,795,395,820,072,
652,288,748,645,166,799,170,991,980,975,957,183,569,276,174,726,155,577,158,
583,290,964,398,457,091,607,705,621,080,887,181,806,094,409,395,097,723,639,
299,799,747,254,355,348,258,830,761,424,415,962,808,155,967,434,533,781,466,
724,550,759,552,391,996,853,691,956,657,242,341,161,366,152,099,605,283,826,
389,984,151,908,611,561,486,917,809,256,068,821,084,792,434,834,258,584,164,
858,249,350,944,864,686,660,995,072,153,755,349,705,399,588,854,686,335,296,
621,426,732,295,133,821,789,035,081,047,036,138,412,029,150,263,080,138,992,
223,890,694,590,881,412,123,606,090,638,705,874,450,645,345,373,238,468,194,
200,733,725,606,367,072,972,674,060,128,183,085,430,893,600,313,662,235,114,
813,724,542,393,678,529,079,026,001,970,723,423,423,166,763,233,933,455,065,
781,257,280,256,754,279,400,823,196,571,255,317,244,841,418,432,001,248,965,
200,748,562,454,522,452,454,680,095,695,922,863,073,764,677,609,842,292,130,
111,960,130,320,266,290,392,240,027,495,090,140,809,783,877,845,354,860,327,
053,232,370,266,947,704,947,665,193,693,755,223,051,570,443,409,958,034,060,
077,485,375,449,022,776,805,543,926,777,595,287,922,046,206,953,775,610,259,
034,360,023,621,177,666,414,930,004,636,533,149,972,956,268,796,729,433,349,
070,292,848,083,594,603,684,924,851,722,201,602,034,441,361,736,953,949,540,
950,305,562,210,514,988,289,815,089,634,053,318,310,423,160,543,515,305,620,
258,251,600,244,776,986,018,885,049,869,327,262,866,034,095,526,563,918,118,
952,360,029,966,070,381,375,252,761,524,024,770,144,192,509,355,594,207,048,
790,541,626,647,073,908,529,004,190,014,022,823,699,491,276,509,627,225,991,
343,711,200,212,799,996,261,242,684,689,942,897,097,059,637,531,572,057,469,
575,001,722,407,779,602,694,360,039,432,527,992,328,061,014,219,874,011,256,
861,798,823,900,052,781,916,970,508,258,651,697,932,162,299,298,270,526,225,
641,730,963,085,066,290,643,951,212,144,160,084,193,072,167,837,845,140,223,
329,919,611,247,247,814,500,320,740,773,358,825,369,642,515,072,016,055,881,
810,684,902,348,140,404,062,970,105,545,066,759,270,282,655,711,477,310,779,
721,932,023,244,947,366,859,964,104,956,926,601,180,521,556,691,387,041,502,
959,380,796,410,958,765,314,846,480,129,881,474,784,883,708,620,346,243,040,
947,495,651,898,926,395,477,647,266,238,836,260,949,078,147,851,055,702,337,
047,831,830,620,473,490,859,124,079,350,259,368,811,622,434,764,636,140,854,
694,912,136,968,084,670,164,146,185,992,181,904,132,192,589,972,693,019,401,
388,984,392,466,636,300,405,450,148,453,166,652,668,759,212,238,789,357,581,
994,657,594,920,032,399,605,594,307,632,028,090,473,037,864,403,852,526,448,
574,947,025,490,299,665,072,242,846,547,091,118,577,177,875,586,526,123,905,
279,681,357,375,048,859,969,730,740,439,735,081,688,628,871,958,883,625,796,
005,560,203,341,003,077,100,693,097,539,984,408,204,141,904,055,878,693,115,
419,436,701,850,967,108,808,350,412,769,614,657,102,022,536,569,414,030,703,
240,640,006,875,813,782,313,534,887,087,328,973,078,668,641,744,505,647,931,
865,746,782,750,858,375,633,384,068,757,047,395,026,630,669,926,273,102,345,
154,683,321,950,020,432,766,400,027,656,722,324,622,157,271,259,310,274,356,
240,061,575,979,195,110,124,914,196,389,031,766,491,393,567,604,941,749,773,
927,467,117,034,641,080,340,174,129,260,693,922,710,770,691,962,080,945,599,
725,384,684,263,657,269,334,809,807,810,491,161,322,061,859,914,494,732,579,
517,233,665,692,640,418,517,083,548,697,487,915,559,453,544,069,437,886,834,
168,464,450,379,727,409,028,170,712,605,613,931,375,007,451,811,569,957,411,
588,893,525,305,728,450,923,712,297,326,369,963,352,202,101,985,503,866,861,
572,634,120,194,210,961,908,284,703,679,146,943,292,932,258,655,035,755,230,
798,845,935,320,354,213,582,768,112,849,130,090,427,588,482,529,022,302,286,
595,535,947,684,232,573,522,262,620,460,056,077,481,060,394,296,999,848,141,
629,057,286,554,057,220,849,726,844,204,389,021,300,801,364,125,261,252,588,
400,819,567,463,230,344,274,399,708,587,028,887,353,061,076,260,193,064,865,
042,039,843,923,503,776,196,755,843,865,574,893,681,208,403,008,535,467,173,
192,747,740,055,469,867,865,492,298,348,809,726,291,360,191,067,296,055,889,
477,880,723,510,467,563,847,598,872,094,305,374,869,062,608,992,661,969,094,
873,066,409,766,146,373,406,380,452,387,831,783,451,290,377,819,553,766,616,
187,239,293,969,944,602,965,495,601,480,496,783,565,787,915,956,308,809,494,
092,876,307,343,568,587,862,949,585,025,611,597,260,022,367,120,016,604,873,
901,966,475,185,996,907,478,411,342,749,126,409,853,770,823,871,019,476,772,
034,585,842,330,202,622,611,662,048,837,152,778,618,177,971,356,622,770,104,
508,739,413,155,472,665,518,710,348,504,585,207,772,206,948,629,338,028,463,
387,279,237,019,837,553,875,150,776,487,417,591,583,761,069,995,711,314,758,
900,094,460,405,928,359,836,731,362,146,368,339,071,385,252,771,644,453,487,
601,666,062,933,169,958,154,366,007,208,123,934,867,094,208,018,143,348,514,
767,945,635,072,771,852,927,045,473,944,952,913,610,078,505,449,512,694,078,
977,831,890,859,306,938,926,540,651,669,825,514,214,283,060,583,168,376,982,
112,248,862,220,664,062,115,869,996,640,638,811,535,958,416,686,489,479,104,
462,951,722,249,233,038,658,111,185,026,580,343,663,581,858,904,121,373,109,
487,077,847,491,159,154,855,018,741,883,098,313,431,089,926,691,428,735,643,
071,642,444,578,738,650,288,941,358,815,666,664,619,096,064,995,434,071,972,
792,039,172,537,629,302,265,175,840,482,982,656,947,944,798,135,758,150,655,
082,921,439,050,945,571,186,903,105,809,841,355,209,076,408,202,561,906,391,
098,725,052,181,967,711,110,184,701,938,317,342,286,263,105,920,052,918,672,
172,801,710,372,390,072,534,027,692,803,491,025,303,538,633,544,997,576,227,
222,635,085,970,370,975,533,955,451,052,234,183,983,040,923,751,454,304,069,
036,733,072,359,763,071,611,735,263,308,245,069,460,298,966,145,384,566,670,
360,570,042,617,018,912,601,820,159,260,867,101,526,822,356,394,154,285,131,
049,616,151,704,640,058,215,415,936,032,483,311,680,813,930,148,923,863,014,
953,185,832,644,706,840,149,882,797,378,468,239,236,267,205,879,797,918,851,
058,934,435,940,525,304,281,165,334,380,267,200,429,985,044,034,365,763,149,
104,311,501,160,534,136,017,075,513,930,614,947,368,193,345,061,132,062,773,
226,150,470,862,101,353,605,957,097,050,768,316,250,680,323,115,990,047,930,
349,806,146,746,902,845,786,077,871,710,566,296,984,325,944,572,762,028,532,
053,427,331,831,024,781,663,614,590,082,448,019,376,335,782,870,456,237,726,
033,406,780,049,736,091,864,540,351,929,515,612,953,467,560,028,209,813,013,
512,007,645,915,390,195,610,323,446,523,443,717,485,408,543,166,013,689,237,
711,653,844,808,375,483,393,367,984,336,048,242,919,512,142,796,167,963,671,
736,724,922,072,080,017,456,426,153,085,033,819,340,323,844,427,662,830,326,
150,931,126,261,809,245,898,539,946,845,432,139,487,349,162,034,267,298,302,
331,923,271,739,354,453,831,144,015,720,588,037,018,062,528,542,522,170,540,
150,964,864,975,090,578,491,757,211,475,752,948,390,952,853,326,079,050,024,
591,332,078,790,076,572,641,810,072,111,132,726,063,479,395,098,369,591,642,
093,876,312,158,307,154,296,907,274,621,742,590,378,048,558,893,338,187,942,
366,824,382,247,056,704,246,336,128,015,217,827,994,970,364,230,830,037,275,
508,136,006,798,218,732,426,507,353,763,300,534,004,541,039,312,105,532,858,
802,675,060,627,783,328,317,619,878,019,299,729,539,349,662,673,345,860,232,
214,380,265,944,933,174,597,010,308,006,590,448,043,240,979,585,989,040,573,
069,099,475,663,185,916,820,269,948,391,228,205,884,496,459,462,195,691,330,
416,253,637,181,469,133,325,861,183,575,651,993,656,782,697,050,832,634,462,
304,572,276,482,338,388,669,436,318,912,435,783,352,910,376,888,413,964,013,
420,721,474,596,807,504,190,052,887,636,169,143,447,036,204,856,743,570,857,
432,896,447,918,115,213,663,025,334,660,386,259,091,181,976,915,619,725,243,
465,489,699,862,285,766,640,252,400,672,419,986,919,193,272,883,605,866,354,
571,245,105,486,242,892,756,479,329,595,908,977,564,853,389,300,777,298,722,
227,705,034,268,699,658,213,952,096,409,056,474,196,108,371,462,478,819,740,
528,539,938,401,483,530,124,647,832,805,771,987,492,913,804,224,993,195,647,
271,905,351,499,758,048,895,774,472,755,415,815,226,920,671,472,164,690,946,
213,005,380,271,793,343,450,706,413,569,976,434,862,530,196,695,024,786,602,
440,025,556,211,975,854,556,033,179,830,071,131,873,420,727,614,867,039,382,
367,803,809,582,218,402,814,169,417,373,267,478,473,792,674,017,643,415,051,
581,613,839,186,891,124,807,389,870,389,406,667,459,274,026,014,214,117,741,
735,767,082,070,620,977,358,011,852,601,476,529,673,389,726,803,706,246,570,
246,073,065,671,321,819,514,315,813,977,030,576,358,968,441,449,353,229,072,
066,375,943,662,887,761,680,729,582,400,165,723,446,237,223,561,482,286,667,
489,239,274,422,614,970,789,775,694,238,945,645,699,145,786,465,277,387,486,
575,455,815,825,841,154,126,109,401,791,199,648,883,714,508,074,494,872,952,
404,280,597,979,524,581,253,836,018,734,494,760,506,112,296,659,985,930,817,
189,074,234,051,825,783,624,198,139,173,257,224,932,204,247,015,528,419,557,
645,816,035,120,381,481,393,024,764,012,299,772,822,272,309,960,537,380,737,
801,213,246,106,894,323,766,257,212,725,435,293,597,817,997,667,345,347,404,
947,767,749,446,540,198,113,023,119,836,376,895,277,141,582,722,598,777,154,
829,698,999,069,943,700,903,672,933,236,829,132,202,890,597,995,207,885,135,
570,350,718,137,550,481,411,637,408,343,226,743,183,290,419,363,292,467,915,
315,611,004,543,498,663,428,252,635,878,629,517,845,957,450,789,085,884,828,
334,364,482,253,837,706,602,621,375,934,313,870,276,077,526,365,449,559,697,
744,335,448,913,980,645,163,951,744,742,762,290,307,553,615,601,688,729,917,
573,326,185,429,576,334,322,801,684,903,147,064,860,973,751,701,164,805,994,
174,542,729,518,213,640,576,378,791,746,981,193,676,547,959,493,138,427,631,
349,084,185,844,018,923,730,903,166,896,737,374,610,397,437,808,837,254,839,
580,167,000,140,443,321,296,541,380,256,133,108,580,134,512,576,834,330,273,
772,122,205,932,468,396,888,061,277,366,482,202,579,312,425,035,376,992,233,
629,557,745,939,676,555,918,282,208,732,168,263,815,577,637,645,326,200,396,
304,513,076,478,016,663,967,095,878,589,073,827,647,766,703,481,352,718,715,
920,849,852,402,663,602,908,949,992,337,551,219,508,047,910,424,644,503,981,
038,701,897,743,018,544,048,526,593,372,249,751,768,893,575,800,653,607,636,
814,346,218,191,010,475,506,470,237,839,801,211,507,668,604,216,750,052,583,
595,729,878,426,011,736,541,024,296,300,529,232,756,272,261,076,450,836,802,
323,776,816,496,968,914,724,276,085,551,818,179,787,818,287,204,394,381,806,
240,081,618,168,637,874,093,299,328,189,387,193,934,376,422,410,571,512,573,
577,992,139,410,643,998,689,628,957,070,687,123,330,752,054,654,195,656,107,
727,279,905,888,380,088,772,296,922,374,425,506,196,494,042,320,607,599,513,
577,576,375,135,872,621,301,709,495,255,039,864,860,706,556,637,454,913,767,
034,156,086,294,155,110,498,563,757,581,290,388,430,302,983,825,701,079,270,
652,243,934,444,168,247,331,640,255,618,572,119,338,243,423,472,571,815,070,
780,438,489,066,661,953,431,392,721,284,997,672,073,680,383,164,651,251,588,
914,767,352,033,362,283,074,144,111,247,413,775,379,594,127,998,570,093,927,
750,089,580,580,185,240,840,428,071,280,560,435,183,859,845,886,082,260,959,
694,306,942,136,796,186,353,086,213,037,570,952,063,214,723,846,687,109,846,
420,388,077,190,805,741,710,307,024,160,489,990,423,562,511,350,006,651,893,
934,400,065,273,507,184,838,469,199,176,193,871,727,643,632,429,217,401,408,
784,639,799,453,464,856,430,266,951,217,539,578,211,842,219,974,657,614,781,
918,437,796,008,112,287,428,147,218,540,360,264,622,856,519,513,274,537,800,
268,675,152,058,561,466,542,239,032,483,185,308,736,201,950,237,109,536,718,
666,012,802,509,648,654,128,165,487,007,996,639,959,024,828,552,663,858,863,
993,943,389,258,625,268,433,236,709,137,510,670,767,439,191,745,292,680,373,
011,336,276,442,407,081,975,674,314,058,964,870,816,786,441,465,889,290,387,
876,348,253,563,180,356,734,390,966,031,905,623,900,967,415,917,211,076,258,
849,091,812,221,741,884,992,755,747,769,190,737,337,736,799,361,428,252,158,
775,490,713,080,983,439,492,285,412,489,026,626,241,802,770,605,487,420,274,
750,767,533,274,272,821,263,886,050,634,189,374,910,545,609,055,009,947,484,
394,967,929,744,516,913,134,692,358,940,731,239,369,865,606,223,687,910,751,
234,133,012,009,927,495,885,325,289,988,841,419,843,147,582,207,178,686,863,
946,506,740,356,243,414,846,165,497,666,628,869,763,038,917,057,829,202,577,
107,499,342,228,625,374,582,255,388,582,173,789,393,480,570,436,666,791,130,
962,804,025,985,548,254,629,053,378,484,344,051,339,794,737,672,357,385,055,
507,717,293,687,676,454,649,137,720,443,173,357,400,157,589,102,026,441,398,
946,795,378,626,420,147,541,782,432,298,275,088,807,871,833,347,542,890,166,
394,203,232,430,179,630,787,343,456,254,301,038,156,651,377,542,900,978,006,
027,754,115,684,981,858,964,937,416,977,032,779,621,559,392,040,332,876,311,
830,774,174,029,720,553,430,026,046,440,971,844,528,841,399,916,801,525,005,
319,997,361,491,367,300,950,683,001,758,874,540,010,605,114,978,073,793,109,
594,835,474,534,937,954,277,711,181,981,525,871,229,939,115,842,173,223,330,
281,940,317,553,840,579,869,817,564,793,252,723,915,519,185,953,812,179,548,
296,955,464,108,890,529,878,541,250,958,410,497,714,790,001,375,648,070,277,
933,293,901,276,601,882,055,124,446,303,620,235,642,309,250,431,563,736,123,
829,855,016,884,797,498,442,855,096,793,214,913,153,536,470,487,900,416,325,
033,549,543,278,843,142,345,244,650,938,034,073,483,023,075,102,643,732,833,
804,063,589,429,308,167,998,241,821,381,111,618,885,332,642,288,776,923,454,
198,437,230,979,551,537,457,079,796,301,023,310,171,782,125,100,244,882,577,
530,865,910,841,129,834,822,118,285,394,760,006,453,753,179,996,442,393,443,
015,090,715,601,833,238,908,742,301,443,563,570,134,732,503,519,094,879,349,
773,495,667,530,612,015,670,788,025,653,162,206,060,915,501,032,108,813,629,
248,760,846,014,928,292,343,701,829,816,884,036,485,158,372,952,765,122,363,
669,405,818,971,333,539,158,895,301,236,495,604,899,334,510,596,562,590,799,
129,351,649,460,537,938,756,439,556,524,329,389,809,371,391,344,390,038,642,
849,044,298,021,277,979,773,666,732,764,967,967,994,107,236,387,277,119,211,
572,447,946,067,711,377,664,484,001,236,705,720,912,064,964,353,799,172,411,
367,822,168,408,727,736,015,773,487,631,503,097,928,676,298,452,484,881,534,
076,871,549,736,922,020,437,528,114,585,790,205,005,550,948,581,756,736,008,
519,009,888,881,132,497,502,698,964,085,338,231,096,156,516,040,200,762,281,
860,610,773,626,939,008,031,612,808,036,609,995,029,004,572,304,146,334,736,
895,451,046,540,885,949,377,226,462,395,819,730,852,722,715,839,635,033,147,
728,687,881,854,734,201,736,339,667,892,151,712,894,308,956,851,369,193,483,
106,683,572,910,739,811,370,209,642,428,758,857,062,034,901,420,920,215,067,
326,545,118,245,038,040,091,418,058,986,468,404,419,832,169,926,575,260,068,
462,405,779,336,627,223,808,064,604,066,060,256,099,173,167,837,693,818,877,
468,478,096,248,768,213,402,494,217,590,763,955,491,040,161,306,891,795,165,
651,559,313,612,980,133,598,292,460,673,221,903,607,340,451,027,642,628,834,
200,601,389,442,048,568,670,373,265,725,372,677,899,562,582,700,040,590,802,
311,983,539,748,750,471,487,548,331,301,590,372,034,781,733,935,431,704,698,
242,728,587,796,546,061,395,757,175,115,730,560,838,271,976,599,451,332,210,
279,063,176,967,165,375,471,354,182,740,917,209,899,376,878,460,945,735,036,
529,039,797,070,560,380,661,063,509,122,805,146,302,708,631,794,861,309,953,
999,108,179,160,006,433,577,011,323,676,583,870,758,128,876,391,892,924,867,
394,608,087,518,899,611,469,368,328,592,015,828,225,883,855,933,715,022,811,
941,190,091,003,820,515,659,658,574,369,483,816,837,149,349,420,309,998,222,
888,799,931,497,655,708,550,754,189,078,036,207,309,685,005,697,416,881,147,
244,453,531,187,475,222,525,745,226,677,847,738,476,716,320,736,753,699,205,
665,239,176,969,087,367,252,008,183,496,087,715,242,063,095,338,773,032,758,
900,800,619,487,409,938,344,130,458,010,096,867,120,981,720,201,494,325,534,
441,615,078,799,517,619,215,874,526,379,255,239,394,602,291,015,986,737,398,
411,282,803,292,481,135,742,036,081,130,735,062,569,396,687,511,753,646,441,
987,487,800,406,896,673,300,012,205,659,825,201,993,297,742,758,154,509,223,
374,383,407,308,705,659,983,414,622,403,824,965,601,334,981,170,579,263,191,
192,806,355,897,094,452,183,841,243,731,333,953,421,567,656,717,272,672,105,
122,167,339,887,562,635,797,449,657,288,222,517,817,242,377,365,264,946,217,
991,932,687,232,973,230,346,754,166,312,163,286,368,074,850,784,556,102,404,
313,768,625,996,280,410,548,962,173,208,328,019,782,004,408,223,662,975,089,
053,551,743,779,773,214,857,658,087,170,369,214,838,434,732,717,994,124,963,
438,381,462,045,752,965,315,201,176,361,125,787,602,614,028,758,153,616,187,
623,665,546,897,860,362,682,815,449,341,089,059,982,992,799,835,259,249,787,
966,145,108,697,176,438,696,899,887,657,786,931,235,510,222,922,229,737,897,
933,535,445,890,137,310,274,854,969,497,429,660,496,216,455,244,410,503,426,
236,668,847,425,975,191,397,980,254,906,446,100,946,755,336,866,215,232,052,
089,799,513,920,293,109,547,725,336,416,360,187,495,917,365,386,781,798,845,
685,361,754,606,490,842,077,365,907,589,031,939,213,226,657,706,869,459,994,
982,630,565,068,159,791,079,384,264,345,148,850,897,264,624,076,033,956,491,
850,706,231,086,666,460,843,299,331,905,262,283,355,783,218,631,893,938,391,
689,795,929,917,337,616,116,578,580,098,795,957,172,694,524,152,168,149,286,
712,174,577,018,875,185,412,904,994,458,257,874,949,898,414,804,100,908,941,
250,287,623,866,374,321,477,580,776,800,483,217,394,642,340,818,665,826,400,
964,160,524,123,953,814,278,493,195,895,106,605,541,212,623,173,896,494,716,
023,426,872,353,737,217,073,193,746,088,237,520,010,654,444,785,420,093,188,
079,209,914,879,681,855,733,703,168,803,493,890,893,636,258,206,532,830,566,
444,444,429,718,632,692,082,592,316,794,932,653,586,163,012,557,790,554,835,
198,582,671,638,922,598,500,683,822,330,962,334,012,594,390,248,215,035,600,
669,795,400,607,171,901,954,150,794,535,497,694,199,463,985,099,163,676,332,
584,507,946,790,861,125,032,795,683,019,590,222,513,225,867,750,138,863,548,
457,685,897,142,647,811,229,102,837,165,778,436,403,584,230,461,200,988,545,
405,561,339,133,304,533,068,807,366,355,590,709,362,951,227,535,270,657,392,
743,699,282,468,924,957,504,428,208,988,224,364,501,046,078,826,406,195,672,
043,029,781,502,916,456,928,326,139,145,463,289,185,488,361,842,008,235,335,
763,291,789,871,369,291,252,826,343,506,449,514,928,222,274,529,253,104,069,
179,272,625,476,891,606,416,318,665,372,646,792,684,143,910,334,982,955,207,
390,312,914,385,512,270,184,251,099,619,291,665,368,576,739,740,212,715,452,
133,091,877,134,246,375,870,758,590,874,102,384,064,050,318,573,075,294,196,
346,176,922,206,369,421,741,647,253,999,103,651,778,160,667,365,874,762,542,
763,430,698,799,466,211,057,807,825,346,099,845,535,984,393,646,429,713,477,
964,572,623,044,835,800,441,307,998,116,277,385,150,995,301,741,509,439,844,
695,874,261,474,775,271,402,461,277,295,245,228,255,342,073,368,494,497,232,
388,023,958,551,645,975,512,833,814,121,046,559,013,956,926,797,286,086,943,
880,016,100,127,441,413,495,173,832,825,628,444,981,194,060,188,839,604,998,
525,702,804,045,542,553,473,622,022,038,352,413,555,506,051,951,469,175,085,
348,845,802,825,743,517,473,085,794,551,569,748,922,120,725,804,854,636,470,
987,020,108,952,206,279,868,133,941,845,702,503,084,306,789,089,695,780,738,
129,667,995,717,731,203,048,200,953,014,119,923,763,085,782,551,576,747,441,
930,342,213,243,476,681,570,524,310,027,379,913,275,551,860,043,214,067,691,
487,843,463,304,740,539,122,165,891,941,314,914,564,407,937,861,076,123,253,
552,196,396,747,773,435,763,057,050,680,655,222,357,278,684,131,187,364,871,
475,000,086,210,813,105,364,162,216,347,299,936,028,009,117,954,552,656,612,
831,449,051,301,171,946,744,596,237,932,940,337,152,872,974,823,026,552,802,
584,505,823,820,950,614,596,074,785,966,517,984,428,215,610,017,808,850,863,
308,213,197,485,765,879,785,261,735,744,168,326,763,058,447,692,821,640,488,
106,440,190,839,911,976,876,629,088,226,441,990,978,728,199,029,534,457,374,
457,635,416,553,802,929,645,281,095,815,748,924,162,829,350,194,180,814,561,
609,037,170,726,483,729,111,522,426,442,175,630,735,405,964,492,657,576,800,
378,011,269,758,850,205,637,343,734,460,039,136,756,081,943,954,869,515,183,
509,848,295,528,097,688,661,427,946,898,812,030,519,311,531,811,890,352,691,
905,269,644,214,805,623,351,470,467,515,986,326,503,044,527,474,527,700,723,
050,759,618,703,010,239,962,595,285,373,319,655,503,265,045,160,609,469,645,
351,913,119,497,590,553,454,386,824,105,612,621,449,229,195,612,754,399,750,
109,379,529,058,864,873,668,523,286,348,435,013,594,406,802,800,730,653,142,
468,268,322,289,737,062,287,464,443,928,002,545,596,158,699,742,325,259,031,
922,409,265,194,119,269,189,484,481,042,372,338,799,060,047,273,928,076,996,
123,400,639,080,479,018,702,054,931,143,513,617,882,857,766,152,236,236,552,
923,937,694,933,970,330,391,553,633,288,922,000,534,930,486,471,873,426,023,
685,082,521,797,809,206,280,784,485,040,282,642,672,222,892,405,919,142,945,
311,256,197,939,227,761,160,824,965,952,654,213,041,463,755,790,176,493,176,
949,785,659,365,956,344,851,403,692,810,055,197,675,596,100,211,981,102,384,
817,878,664,009,479,127,967,128,686,070,016,757,385,742,718,807,407,846,751,
355,856,884,775,849,712,547,881,496,716,349,977,890,836,803,364,102,397,153,
960,160,317,555,019,085,020,185,075,774,529,514,751,147,052,935,575,694,936,
227,947,826,606,916,919,717,426,845,854,069,110,774,778,987,543,772,408,585,
952,278,001,675,076,323,100,998,617,863,563,597,091,268,407,489,542,708,309,
812,828,461,762,652,185,572,660,188,683,294,805,237,378,219,349,133,445,470,
602,333,887,855,388,994,328,856,725,535,383,283,026,546,153,397,078,662,980,
076,125,174,409,239,139,926,618,803,542,440,624,192,620,533,730,883,522,114,
245,310,139,447,314,503,974,535,665,697,739,613,072,517,784,081,347,836,075,
576,055,422,406,091,159,846,409,979,523,543,826,970,549,008,826,460,391,981,
009,374,954,378,970,392,844,986,358,663,853,322,478,993,957,028,620,180,265,
253,620,647,654,480,301,636,957,319,811,825,694,602,803,348,100,185,071,023,
106,152,525,609,677,772,960,549,070,684,295,385,679,204,629,037,682,868,497,
206,406,545,817,309,752,700,883,362,771,787,270,655,257,640,301,788,194,800,
157,789,918,018,770,910,116,679,041,476,577,736,849,816,305,705,556,045,491,
984,241,822,609,584,831,204,851,740,276,163,533,422,223,863,430,716,331,989,
204,560,287,179,752,485,378,441,289,775,839,830,236,465,250,478,665,324,025,
274,487,521,553,592,215,631,664,381,545,619,243,392,393,983,935,794,891,367,
310,930,973,215,062,753,631,988,763,566,597,466,407,635,593,189,954,415,701,
656,534,979,028,988,037,042,068,210,583,984,479,145,565,440,037,285,123,684,
400,585,206,573,808,964,848,803,243,562,658,955,274,263,272,427,861,067,771,
615,546,515,474,759,631,264,362,447,115,942,473,929,625,247,749,096,337,512,
563,629,842,073,567,333,659,821,921,232,162,201,766,074,439,787,805,164,142,
706,974,632,797,917,414,924,089,710,707,595,076,767,669,984,699,868,621,918,
278,735,601,141,081,738,722,595,372,725,549,245,415,890,319,573,674,230,635,
748,085,639,947,644,333,589,667,634,502,431,193,984,770,516,286,521,760,745,
146,952,877,383,740,811,875,213,037,464,951,755,686,593,052,517,871,751,472,
553,407,539,595,364,586,368,673,734,161,240,479,026,480,628,662,545,319,743,
195,386,152,438,496,835,293,046,721,238,531,935,437,322,545,019,216,154,766,
315,619,850,836,315,308,635,208,275,440,733,680,159,460,455,966,461,762,152,
552,059,595,092,236,913,170,748,235,598,007,410,447,703,070,632,184,903,170,
148,677,084,652,708,835,251,438,271,161,288,619,323,335,411,688,300,177,300,
288,297,624,625,475,279,433,066,173,943,182,193,331,917,194,209,920,506,378,
110,757,634,043,833,674,534,349,432,743,126,857,476,144,939,217,759,215,673,
134,500,783,627,247,661,332,972,667,691,019,985,296,573,315,170,247,897,286,
360,961,551,329,900,825,966,433,581,976,131,622,520,700,074,922,057,675,541,
865,475,980,400,783,578,193,911,093,804,008,065,718,643,909,961,554,331,926,
306,386,879,884,753,744,342,053,238,602,917,755,479,819,832,641,731,961,075,
148,195,986,306,360,670,592,573,178,174,427,900,863,741,616,026,221,124,970,
658,555,570,995,913,204,097,902,883,958,430,968,080,032,100,432,942,964,106,
571,680,461,405,734,112,834,717,921,544,670,292,725,229,785,518,638,544,428,
781,277,417,329,184,476,593,943,227,532,430,025,758,976,261,799,694,373,347,
274,934,680,782,817,102,321,987,388,584,336,766,471,427,140,920,381,870,681,
189,791,276,733,149,004,923,510,773,715,026,574,890,469,920,526,205,236,613,
233,275,671,673,388,724,800,359,311,861,909,321,445,310,105,762,416,466,616,
646,236,307,421,709,850,262,780,665,221,542,264,876,358,579,809,293,970,815,
770,421,912,107,839,317,213,399,193,002,904,275,867,890,093,984,966,156,627,
737,795,875,339,939,221,493,481,514,277,961,615,666,011,328,053,450,819,868,
497,710,753,009,151,669,596,398,724,643,194,737,667,496,933,346,074,520,063,
181,717,106,425,045,116,024,904,531,607,406,028,309,479,965,928,080,520,340,
679,550,526,879,015,281,409,514,994,349,306,372,524,127,403,657,259,645,875,
713,624,484,088,798,401,550,413,520,463,747,381,764,628,806,000,672,355,130,
175,541,803,210,191,166,550,122,335,516,772,276,778,295,635,486,198,493,237,
406,275,648,875,284,010,372,792,100,276,367,096,616,386,241,266,962,582,166,
101,835,199,169,080,644,927,034,610,633,035,359,487,175,078,650,916,366,558,
062,930,577,536,174,581,467,591,834,527,918,832,833,389,515,848,493,381,069,
245,573,751,960,527,399,178,574,380,346,950,286,449,648,605,072,335,536,955,
986,464,966,448,665,879,700,839,881,218,509,943,602,011,602,656,336,883,938,
111,618,285,638,962,638,432,424,366,256,380,765,284,848,768,235,241,105,632,
773,592,474,272,445,994,833,373,543,032,079,762,501,235,909,967,986,967,981,
299,243,608,155,649,662,139,826,631,480,283,383,308,202,454,498,452,871,849,
251,778,381,627,180,220,752,548,171,092,706,026,762,699,550,463,294,243,401,
888,368,779,914,648,634,326,552,940,643,344,592,652,862,727,138,754,738,034,
080,553,985,534,013,950,266,532,807,356,612,751,624,760,460,722,081,840,894,
748,378,289,401,644,977,194,033,225,936,644,258,864,568,931,732,165,429,111,
688,681,543,109,545,557,872,687,491,104,567,679,369,059,709,966,431,744,703,
917,496,275,621,902,456,782,215,557,027,139,404,898,032,963,799,526,440,210,
304,229,771,956,987,423,693,946,820,072,018,432,889,385,544,263,179,348,623,
564,844,257,472,632,006,073,818,415,721,813,087,551,518,471,122,767,481,813,
805,729,482,681,809,727,519,949,920,967,770,667,923,448,780,608,718,549,786,
548,565,700,592,181,073,032,730,141,097,515,556,340,587,192,794,475,988,329,
044,970,216,692,332,572,738,762,697,810,771,292,343,349,814,191,529,447,194,
253,729,767,733,608,732,712,468,215,146,599,220,022,898,675,187,638,220,788,
896,283,524,607,543,222,405,641,503,323,726,452,210,798,696,128,337,439,163,
110,757,316,714,500,975,543,962,739,077,341,745,561,528,503,610,646,948,056,
553,483,210,022,306,574,817,179,701,430,975,190,545,075,426,951,450,899,535,
996,041,798,338,064,175,906,433,746,034,834,569,569,309,707,251,146,093,149,
219,382,586,150,236,610,177,373,547,304,537,440,058,340,498,616,824,568,347,
245,290,943,067,411,794,252,548,841,702,591,602,446,552,078,090,302,299,838,
208,231,136,032,468,550,731,363,532,818,227,167,758,592,338,916,982,274,962,
352,963,367,851,570,453,602,030,168,585,833,457,645,737,922,702,879,455,808,
432,451,511,156,239,728,978,963,718,788,932,307,986,915,171,135,190,194,229,
065,662,798,310,228,295,556,042,997,052,317,686,868,324,531,559,652,775,618,
875,459,874,051,996,540,787,957,749,070,173,548,845,516,531,048,830,738,869,
720,088,044,074,318,249,113,777,330,493,945,256,378,365,599,089,910,264,833,
573,781,285,428,211,116,472,338,750,678,967,390,283,407,153,556,499,247,408,
424,263,475,442,332,454,514,921,963,641,310,486,365,853,873,717,277,845,528,
653,325,849,313,274,246,014,815,786,946,088,294,251,001,231,366,853,071,233,
106,483,547,097,878,080,808,969,361,138,662,466,517,197,112,198,099,971,423,
285,037,239,049,456,450,521,363,564,676,946,904,720,455,229,584,937,389,199,
679,059,545,796,178,875,035,484,603,044,800,450,935,743,354,087,608,993,193,
806,975,108,399,049,922,804,220,310,448,752,239,952,568,755,831,012,416,952,
704,770,067,088,426,036,483,452,994,583,115,378,865,306,945,893,396,200,505,
327,356,338,843,146,885,932,087,381,341,928,477,557,962,318,880,814,978,573,
362,850,383,766,624,209,988,926,614,856,703,710,850,308,022,110,493,087,843,
898,098,372,569,393,583,596,268,909,854,572,803,087,512,310,535,075,623,898,
645,946,322,817,648,294,933,268,551,705,153,414,530,874,859,191,047,727,720,
385,767,612,242,135,396,534,180,753,436,148,794,035,031,205,173,788,397,153,
256,874,315,301,392,763,850,426,163,098,397,493,052,875,031,945,946,207,316,
566,873,868,287,857,457,420,002,755,595,740,180,679,420,751,875,327,049,126,
701,780,811,730,805,902,461,989,512,633,723,578,106,864,889,823,057,653,607,
838,526,373,694,264,046,520,748,588,528,113,061,159,621,851,460,660,966,724,
472,121,836,898,816,891,811,354,090,407,069,595,943,380,875,524,007,857,366,
034,637,825,700,530,223,712,722,136,565,336,635,080,237,999,544,762,323,256,
169,736,600,350,610,718,715,436,203,193,487,448,750,361,365,259,113,901,029,
692,316,989,111,950,310,955,661,271,189,153,675,072,513,248,707,945,175,876,
370,536,015,907,595,882,494,449,249,547,030,406,842,475,483,831,266,658,798,
632,140,390,453,696,025,145,627,927,731,757,854,046,327,009,401,141,256,399,
879,780,754,199,471,736,706,350,485,220,583,644,670,421,722,899,936,942,485,
388,990,610,913,764,409,741,289,253,533,479,288,681,173,723,554,046,537,271,
110,215,386,932,276,919,349,883,626,052,368,141,355,335,501,258,934,613,708,
657,559,450,161,137,621,639,435,830,555,039,203,583,093,841,567,167,549,313,
409,629,684,699,154,474,675,904,688,638,080,639,487,931,929,060,365,621,144,
728,217,111,217,271,897,421,549,039,864,925,041,354,159,034,759,348,048,358,
532,504,453,222,393,749,819,625,380,180,290,106,404,527,466,526,770,672,149,
473,613,268,942,549,730,069,037,275,095,520,417,565,983,555,367,865,704,700,
346,518,238,348,213,535,057,295,878,862,455,554,915,565,193,092,123,368,689,
192,004,734,310,703,270,724,264,581,929,921,363,476,318,425,216,699,663,495,
351,121,904,567,929,442,310,563,242,200,005,032,889,664,180,740,857,709,345,
687,820,308,892,409,541,825,209,336,891,911,462,814,003,325,638,908,581,478,
285,260,093,370,110,533,795,962,395,941,962,983,080,213,036,345,801,374,437,
532,857,477,652,059,497,567,804,474,745,336,409,487,632,036,622,838,890,975,
716,761,961,849,704,879,022,888,347,289,581,687,460,444,044,727,959,632,333,
868,229,197,246,286,930,599,424,465,181,096,830,243,360,477,975,734,862,893,
153,315,483,780,452,735,333,021,672,872,066,679,040,523,689,408,592,007,093,
775,559,549,686,520,037,625,857,958,981,005,064,049,915,576,482,280,176,480,
935,253,057,056,946,066,410,874,269,623,979,634,016,333,532,640,483,603,240,
486,331,154,560,389,543,221,206,231,577,101,396,450,848,132,402,252,816,209,
204,563,329,163,342,623,937,092,097,468,039,952,390,526,718,679,002,444,430,
358,041,482,588,290,246,759,357,644,831,934,294,206,698,360,511,603,627,238,
066,965,573,186,585,062,965,784,502,287,465,765,046,854,360,564,123,685,338,
230,816,756,232,373,246,617,559,948,574,815,286,674,951,968,807,597,734,080,
541,760,123,366,471,108,926,406,825,647,537,916,530,757,778,032,946,460,909,
539,471,057,359,728,560,287,123,089,332,223,991,403,577,498,788,285,933,308,
472,826,816,367,602,479,384,335,130,763,420,309,492,264,571,208,287,648,874,
679,749,365,155,063,516,948,630,059,060,364,295,254,530,989,280,763,257,821,
438,352,337,883,749,967,984,465,915,265,730,538,333,840,091,135,436,097,961,
336,940,502,598,494,191,134,559,768,521,437,618,253,363,785,469,258,815,627,
744,785,516,936,924,645,808,725,610,528,856,102,603,358,874,943,549,229,741,
893,901,330,114,478,864,495,654,914,650,885,084,951,530,326,949,730,075,018,
666,559,682,148,747,309,867,805,555,770,452,568,820,909,846,238,195,357,850,
078,970,502,462,012,972,644,715,046,796,225,617,409,342,132,759,026,136,111,
408,492,864,393,574,625,179,937,757,921,123,197,933,421,741,624,585,106,381,
581,994,072,640,514,471,832,279,121,116,814,892,240,100,500,954,195,672,395,
067,278,950,326,858,166,721,232,144,982,573,672,253,978,078,376,403,126,001,
832,572,074,476,454,005,730,101,383,459,133,065,080,949,018,429,389,813,664,
943,131,843,290,965,805,116,529,985,881,428,039,769,673,091,670,173,838,168,
990,718,521,702,850,818,940,548,137,088,225,056,388,817,661,298,118,751,525,
177,029,397,019,181,268,367,631,827,197,928,808,151,287,641,892,787,447,437,
775,814,913,841,994,266,553,094,808,890,695,211,993,028,133,420,521,286,050,
969,346,490,814,153,965,112,333,744,707,032,331,751,764,819,617,514,807,528,
563,428,760,648,815,573,664,580,228,817,686,960,684,412,328,735,884,267,091,
029,797,677,989,003,598,993,733,720,412,463,900,823,507,806,238,127,129,896,
312,037,464,583,920,427,278,726,652,326,616,656,891,892,881,552,663,281,236,
183,348,362,174,369,910,095,890,566,170,980,466,155,565,294,598,631,682,254,
671,172,633,384,234,300,986,385,404,004,673,487,831,737,292,288,366,475,710,
255,590,314,157,397,589,298,587,518,919,878,278,048,738,305,394,671,335,700,
752,804,463,059,561,736,728,087,809,213,077,653,621,162,659,163,488,186,612,
611,111,598,111,028,372,444,802,239,323,792,058,927,916,133,744,139,046,688,
523,309,424,590,579,562,776,580,731,124,704,782,934,323,398,919,163,092,939,
835,658,753,497,346,231,491,987,924,427,302,113,377,570,472,687,531,257,453,
788,412,116,507,850,638,395,458,210,386,515,284,758,833,968,448,483,077,296,
228,738,983,378,114,509,762,678,216,525,431,509,337,815,036,351,023,770,248,
242,067,813,581,242,882,602,410,255,252,061,313,346,312,695,629,998,210,707,
293,680,882,450,236,389,556,012,988,468,323,736,088,434,322,160,155,909,769,
883,075,361,160,388,489,778,651,670,994,539,511,351,548,652,712,520,355,496,
851,808,091,960,560,826,410,723,803,522,393,044,393,198,911,910,695,827,098,
354,792,375,939,656,717,306,115,907,938,658,980,182,185,634,713,479,436,430,
766,227,296,864,770,231,194,744,978,032,979,366,592,593,712,968,194,864,803,
253,936,937,787,734,589,470,201,969,717,531,117,446,831,933,185,575,575,052,
664,537,979,250,902,925,813,696,374,209,200,270,435,423,979,863,680,535,171,
854,871,611,428,796,014,506,459,174,215,663,869,579,961,561,857,473,931,845,
210,433,650,660,558,008,000,776,654,835,784,802,595,497,151,753,227,203,406,
836,803,473,445,361,170,302,762,738,630,112,085,903,279,360,637,245,929,714,
755,179,963,948,863,719,019,329,401,878,025,747,251,932,561,544,698,698,765,
489,069,465,241,912,349,524,366,279,628,070,546,462,609,652,721,301,509,135,
993,149,815,012,076,698,185,132,554,810,963,265,351,043,160,961,641,997,594,
039,084,782,527,113,203,221,028,969,905,721,146,660,358,724,426,696,379,127,
400,271,148,069,667,584,714,320,040,060,692,820,227,738,454,431,161,040,796,
720,549,533,440,035,094,271,719,999,008,353,786,308,834,594,095,620,798,527,
563,014,385,263,988,601,716,703,545,781,237,584,993,965,619,584,159,001,989,
379,773,270,436,961,415,816,125,701,971,999,049,785,754,771,563,270,360,870,
479,788,619,779,377,623,241,603,124,877,399,438,100,078,787,158,683,933,800,
021,168,012,608,376,023,151,794,392,731,221,043,173,921,787,927,314,624,317,
172,539,706,153,712,847,869,441,531,322,973,045,648,139,133,904,685,417,406,
204,543,531,490,765,553,912,296,419,544,262,721,338,436,918,937,033,570,290,
585,413,643,706,551,555,594,847,188,411,554,639,890,748,802,812,925,200,773,
692,168,203,081,200,438,337,396,142,760,916,346,236,200,699,653,693,155,618,
572,861,636,191,613,504,668,707,420,596,791,375,180,337,360,159,937,150,697,
035,366,856,857,322,485,338,842,321,819,361,073,479,545,459,882,453,128,941,
954,140,010,613,224,942,734,120,543,218,891,406,099,984,925,643,300,610,280,
953,900,842,942,313,901,581,686,785,842,509,408,628,358,165,628,734,068,272,
325,791,366,248,282,564,630,489,893,584,484,083,745,643,488,298,769,102,833,
412,889,094,244,620,414,065,933,528,772,023,366,280,745,887,727,405,239,573,
855,074,344,971,190,454,782,488,920,189,005,852,281,310,742,684,184,079,824,
392,541,625,288,011,968,120,434,956,191,241,358,536,793,095,586,914,637,584,
935,713,838,347,368,727,857,679,641,512,193,722,616,313,883,835,107,394,454,
212,168,072,620,381,027,684,356,905,565,032,713,202,423,497,936,187,854,160,
148,145,445,037,469,765,119,140,037,217,131,008,811,818,141,865,535,909,923,
039,547,507,167,188,362,650,284,341,040,392,678,225,492,565,222,482,530,433,
615,404,284,955,311,313,895,972,799,940,538,235,504,576,332,008,154,685,318,
669,378,288,287,566,248,244,931,015,198,860,392,851,081,190,667,301,872,119,
526,612,825,320,491,555,995,993,818,210,660,434,369,555,576,538,138,593,364,
305,769,476,800,731,828,405,300,130,433,336,938,088,589,666,223,961,681,660,
053,801,101,756,464,624,780,360,360,091,723,036,808,470,874,266,526,605,081,
226,575,566,275,430,478,354,520,883,721,660,087,695,638,492,085,657,185,553,
487,444,806,210,938,607,897,849,973,293,475,953,562,877,758,363,593,949,575,
362,411,046,958,619,923,909,648,738,116,692,897,297,915,558,970,702,276,236,
048,340,923,783,247,938,068,723,667,328,330,012,251,450,961,464,249,531,420,
844,322,577,152,238,689,145,567,376,310,894,866,896,514,996,080,737,614,867,
109,385,498,107,004,134,487,915,574,221,319,431,894,935,685,740,718,417,403,
029,500,593,650,527,464,705,934,176,167,475,155,235,073,692,191,936,023,135,
354,504,718,898,806,613,673,939,180,139,503,711,515,121,701,335,144,635,417,
983,228,550,875,540,482,235,586,533,466,271,352,278,014,549,599,100,323,157,
977,165,903,195,505,832,837,482,867,400,015,310,001,585,829,001,608,235,596,
351,328,021,242,599,301,781,998,851,479,533,925,158,328,824,722,454,250,950,
343,853,671,125,148,887,771,794,952,275,775,173,499,473,534,103,004,863,076,
903,409,131,415,239,581,852,385,317,161,758,530,581,518,081,737,873,941,612,
975,005,792,412,372,404,120,858,768,559,980,323,709,146,189,531,311,533,401,
424,113,608,410,910,725,001,353,643,372,248,487,429,630,450,968,405,684,659,
953,511,285,809,503,156,150,533,691,077,164,004,374,779,565,733,837,828,796,
382,386,882,167,827,423,091,105,057,974,407,220,687,487,409,359,840,248,055,
607,796,429,689,582,507,934,778,319,974,119,672,365,469,023,790,413,376,361,
996,085,397,837,652,496,898,042,794,754,829,696,213,312,640,997,682,321,815,
729,200,305,793,103,796,867,442,569,659,416,273,655,035,955,122,245,225,263,
955,095,442,080,086,445,563,499,874,394,984,576,481,498,993,354,450,049,833,
294,360,045,043,298,365,175,283,279,639,235,384,664,696,164,576,014,404,620,
317,067,258,800,139,691,078,704,404,431,108,196,467,559,676,810,810,441,532,
109,699,189,554,621,453,548,771,522,834,042,189,901,735,763,541,286,745,152,
846,787,193,348,738,260,170,032,324,969,216,165,562,767,753,230,410,467,353,
639,381,086,870,092,700,856,797,215,048,350,335,885,490,331,268,497,499,452,
271,469,523,212,696,518,372,171,270,953,567,758,234,638,242,426,636,834,563,
273,023,419,755,386,813,090,475,785,799,297,057,362,829,649,087,574,047,476,
613,836,461,607,624,042,409,740,578,567,716,112,910,174,993,659,568,090,023,
029,083,158,679,904,133,968,403,700,003,851,307,205,649,214,611,399,383,306,
029,460,995,357,567,644,686,446,636,464,267,374,791,182,603,378,271,431,650,
995,811,102,231,451,197,458,307,051,391,951,271,324,052,055,850,911,105,738,
820,338,654,525,291,567,775,227,923,397,173,062,241,902,672,898,587,224,188,
816,090,630,287,868,786,011,538,662,422,457,273,048,942,719,632,331,235,161,
998,267,775,695,935,598,053,326,747,693,202,968,911,103,532,188,166,311,562,
013,738,396,013,220,377,841,853,793,506,193,021,793,313,605,868,621,240,713,
451,903,122,293,343,620,735,476,503,914,925,572,848,312,849,691,627,700,938,
606,756,143,148,712,305,487,924,674,882,046,929,181,552,740,442,146,511,504,
856,822,914,444,585,090,772,120,537,452,738,913,763,539,288,102,894,265,544,
649,111,143,462,392,239,499,711,155,424,804,820,640,805,911,031,163,037,544,
091,275,797,879,548,283,912,098,241,949,762,691,031,336,856,119,347,149,988,
142,290,571,055,019,489,137,672,567,276,773,144,252,701,024,082,672,075,105,
681,340,112,390,281,585,465,959,753,986,530,096,849,684,322,946,843,053,655,
381,836,053,391,136,698,317,724,474,379,858,259,257,699,721,739,026,170,996,
260,664,999,176,082,028,011,459,891,954,478,858,562,098,882,132,188,634,285,
630,169,752,280,637,439,641,775,268,941,550,711,222,985,818,085,473,350,505,
464,531,917,476,939,545,169,092,895,954,178,512,736,779,941,490,704,166,377,
377,273,165,700,425,681,234,130,650,855,872,362,830,854,163,069,917,737,326,
162,165,103,414,113,189,848,625,519,344,277,811,478,892,944,286,463,271,153,
130,786,654,160,116,047,003,135,546,724,760,459,149,229,408,890,663,373,277,
757,239,884,912,469,356,261,640,063,393,772,335,529,142,378,732,255,135,905,
494,118,468,132,652,964,291,058,102,063,957,542,949,905,465,127,046,855,173,
568,110,841,496,312,440,970,345,646,165,584,680,072,095,454,911,801,743,594,
928,982,447,852,245,027,713,805,194,300,407,732,863,952,753,773,967,771,985,
839,306,173,734,660,330,417,289,290,589,836,328,664,327,870,522,357,479,124,
717,675,487,928,604,882,879,314,867,922,804,494,745,169,681,150,383,126,115,
336,257,251,968,515,410,915,728,316,548,405,842,810,605,165,631,497,787,064,
800,282,996,646,291,913,595,032,843,311,186,582,709,230,859,754,482,650,269,
259,197,820,360,480,587,446,321,062,342,696,273,806,642,999,845,352,852,075,
698,587,735,275,148,512,034,256,492,613,692,354,044,531,680,974,440,860,191,
505,732,473,552,125,812,971,728,201,981,908,751,998,597,634,977,238,677,265,
383,089,967,098,057,149,902,214,191,621,283,982,279,240,074,385,839,259,036,
554,976,469,837,855,036,994,864,631,990,097,173,716,938,679,050,914,407,900,
559,910,573,735,476,956,947,009,836,885,524,146,290,915,836,041,592,799,939,
289,479,083,273,839,650,751,784,366,151,630,550,207,971,954,887,439,907,540,
019,965,015,033,889,054,149,167,767,058,478,711,040,789,051,549,536,078,423,
293,901,446,457,919,034,938,276,371,183,850,135,151,490,069,773,686,557,859,
618,292,267,006,723,602,664,142,143,039,786,923,549,383,363,627,943,227,079,
693,389,904,195,849,723,961,764,831,159,888,358,733,428,400,709,185,359,987,
625,763,768,717,345,821,529,584,279,568,893,610,938,166,524,039,191,273,685,
250,034,757,483,834,181,721,653,859,426,675,062,166,745,471,875,507,733,407,
800,250,402,954,993,865,148,410,956,189,111,108,222,329,338,448,508,898,359,
282,327,347,721,550,940,111,183,096,690,669,593,119,073,254,837,798,497,827,
679,405,986,352,080,216,363,240,708,770,448,403,524,387,237,551,279,984,549,
045,508,028,547,447,860,883,835,243,650,524,903,503,642,999,351,921,586,941,
131,490,666,172,316,385,319,985,887,681,454,227,082,187,031,946,688,847,828,
108,772,465,784,944,018,959,879,348,169,756,140,577,246,252,300,803,492,766,
061,904,475,940,972,655,545,222,779,173,756,538,473,488,441,586,700,298,817,
793,322,235,217,268,549,583,543,322,222,392,056,686,607,921,262,768,015,959,
887,210,260,600,074,476,611,741,287,324,454,345,127,186,109,458,089,578,736,
736,389,617,408,258,478,859,866,908,054,950,188,686,736,874,608,598,798,622,
508,745,566,822,588,851,323,435,235,459,021,435,771,337,426,923,953,084,600,
314,477,748,609,762,484,844,583,773,559,344,906,428,010,485,883,199,176,258,
944,324,259,774,445,782,389,836,872,496,144,815,640,054,555,716,189,076,382,
361,822,666,856,232,322,318,833,335,450,874,412,877,299,546,583,590,446,770,
467,288,295,810,035,787,324,093,177,336,204,612,483,670,862,282,672,161,879,
379,748,450,205,085,966,758,942,917,721,342,587,598,239,186,851,719,963,421,
088,398,561,263,013,956,241,167,485,214,404,022,240,024,923,387,506,496,213,
962,987,548,837,633,814,552,557,049,099,702,661,177,567,302,243,045,741,569,
740,784,345,823,453,040,987,019,026,589,204,107,924,359,830,511,632,224,802,
673,089,137,007,274,443,470,094,975,176,240,186,161,005,079,331,392,544,998,
210,655,752,730,372,469,581,246,344,537,969,174,213,553,657,281,141,607,235,
765,884,055,104,384,609,678,850,833,005,668,291,239,867,689,149,068,585,061,
222,399,815,371,334,828,200,130,956,073,239,336,877,562,411,276,332,982,351,
791,575,319,669,236,968,049,004,655,287,693,838,620,460,428,823,576,682,371,
104,188,187,445,180,290,196,469,118,266,604,276,609,909,533,999,097,772,572,
013,984,057,834,706,521,363,066,004,241,437,119,575,686,653,871,242,586,415,
165,405,414,763,744,833,839,224,262,811,187,494,142,549,535,234,854,060,644,
295,326,638,822,372,503,262,290,474,239,393,394,220,183,798,273,801,491,292,
653,281,797,414,358,816,332,475,073,343,188,013,341,304,072,623,684,310,827,
834,509,364,147,076,197,764,595,860,913,341,455,557,682,692,856,051,446,519,
763,940,538,760,744,671,669,059,892,872,418,222,043,339,977,914,143,606,095,
386,653,770,260,079,947,074,843,149,030,829,616,603,001,892,294,979,987,314,
450,596,282,708,642,668,997,382,552,159,595,961,765,556,115,326,558,782,661,
356,339,917,734,927,044,233,903,727,688,707,473,406,888,470,008,490,240,038,
174,567,552,658,676,448,480,750,419,713,022,754,388,497,551,507,142,519,764,
777,345,737,852,434,892,498,357,570,717,431,752,733,550,324,649,760,597,690,
256,928,138,308,958,011,075,993,586,789,698,098,354,003,695,701,999,304,383,
141,233,124,139,443,774,021,461,556,305,989,865,102,375,802,591,607,256,777,
540,686,653,342,802,152,228,502,231,134,037,395,788,461,209,973,086,928,657,
164,525,596,688,244,563,347,777,254,913,979,798,852,816,121,438,868,251,374,
970,414,235,705,120,783,829,285,025,228,522,112,052,667,374,570,836,602,853,
382,120,583,051,845,431,711,802,726,855,158,289,052,370,497,393,767,798,734,
018,214,331,349,853,358,664,569,297,631,401,622,000,962,834,561,056,012,484,
112,691,589,884,299,329,584,321,091,506,648,472,536,627,575,406,134,684,349,
217,939,097,350,493,538,205,140,648,964,922,385,922,469,299,200,583,963,817,
314,144,606,831,384,426,314,764,281,971,565,729,577,654,757,523,936,488,092,
604,385,763,525,592,249,786,534,449,549,288,063,060,563,552,226,791,755,339,
945,164,599,830,227,448,342,272,936,530,108,173,088,102,135,577,163,673,190,
458,961,915,845,017,163,124,987,489,538,833,404,500,052,915,671,833,748,664,
883,982,822,879,549,123,852,791,639,059,932,357,354,938,251,782,225,382,514,
895,912,044,692,672,211,773,788,686,327,720,426,750,156,983,899,395,073,347,
301,323,241,095,585,886,697,821,121,451,694,747,012,945,298,638,241,980,502,
577,625,171,209,094,105,653,019,063,277,013,096,100,140,881,360,786,788,513,
943,735,017,446,002,587,523,519,625,717,562,770,626,519,510,950,469,630,771,
203,446,703,236,161,750,362,230,701,828,754,905,138,191,466,263,587,754,940,
228,243,299,167,690,275,841,004,391,356,012,351,560,749,298,284,905,005,359,
553,735,794,938,477,484,338,964,270,970,074,824,070,485,495,670,778,384,513,
791,816,152,997,757,800,564,882,905,684,412,389,822,862,804,006,236,115,625,
712,917,833,190,146,472,244,609,660,135,872,028,044,636,448,590,199,541,875,
071,341,160,569,349,384,875,194,666,521,041,618,708,590,059,637,597,530,524,
325,519,451,591,713,932,156,144,167,125,014,278,600,404,262,293,248,511,445,
900,107,041,313,438,649,839,850,974,827,210,054,376,663,611,533,886,267,609,
823,970,274,504,324,643,631,170,202,305,309,370,217,308,056,152,534,949,163,
084,013,323,244,008,857,145,086,250,972,835,205,791,198,121,343,816,110,898,
946,615,460,720,332,897,268,049,858,451,450,934,238,329,145,309,980,701,397,
205,793,595,897,078,359,815,786,891,513,708,869,819,678,556,045,867,114,566,
610,644,750,092,637,520,235,963,705,007,801,103,047,311,579,463,526,598,001,
806,405,233,936,949,187,659,941,929,397,395,782,253,499,902,898,434,020,524,
662,925,071,260,346,104,021,611,801,361,121,084,213,710,985,152,950,075,742,
658,205,573,243,597,795,309,414,211,107,345,770,826,553,303,769,849,981,683,
102,095,670,466,613,290,909,809,042,236,303,733,443,303,031,943,757,418,772,
354,143,981,951,764,106,112,244,627,488,266,926,690,646,913,280,468,699,417,
373,961,850,077,070,657,152,352,916,735,133,472,805,029,427,690,729,690,855,
540,181,902,147,124,877,765,713,725,734,009,316,691,654,503,582,536,892,945,
126,557,118,589,233,842,981,114,154,627,562,131,531,152,074,275,886,505,447,
151,950,733,806,269,562,370,971,842,276,082,600,750,915,396,184,876,958,044,
061,228,092,243,474,397,188,138,096,437,539,569,974,886,038,893,450,606,398,
399,007,928,380,117,927,855,172,187,751,388,012,499,440,645,409,992,035,581,
419,551,847,144,791,666,394,224,461,315,261,999,996,666,387,742,512,174,499,
012,168,990,592,220,324,969,259,373,536,210,719,170,976,524,276,875,650,043,
200,865,970,211,851,006,942,634,809,046,373,006,345,911,439,888,896,676,680,
191,160,976,908,675,962,609,180,810,553,060,233,681,530,091,153,607,895,712,
795,182,936,301,520,003,273,864,266,554,438,265,931,362,982,179,010,587,107,
723,927,868,950,748,645,279,681,342,509,983,900,649,409,827,517,584,123,934,
523,254,693,734,338,275,876,857,484,546,487,037,358,584,870,958,560,048,793,
439,497,332,138,670,604,800,314,000,697,632,427,806,747,633,384,749,270,505,
387,971,249,992,198,943,560,496,594,155,106,605,428,919,409,496,086,391,133,
294,062,270,394,119,280,762,489,868,660,757,011,145,032,066,375,464,244,160,
277,633,908,948,254,090,675,130,264,425,267,298,369,007,463,064,252,856,323,
476,728,808,785,686,994,586,652,922,091,102,742,844,472,768,155,084,950,063,
441,855,159,589,340,912,508,147,257,352,732,175,997,230,587,873,259,500,153,
673,204,069,263,011,104,739,923,782,449,071,187,480,010,727,330,855,241,965,
681,526,963,111,220,898,478,353,644,879,483,492,808,625,801,939,847,715,611,
756,757,378,918,822,050,285,404,862,807,796,522,410,629,039,738,135,586,419,
631,789,854,344,634,033,184,548,657,467,841,762,170,022,388,835,266,024,446,
957,525,712,242,330,079,496,747,002,647,337,385,867,781,260,385,363,034,665,
185,819,801,272,543,715,474,624,797,805,034,197,131,385,254,628,650,512,887,
975,453,891,633,679,888,470,519,722,621,051,354,746,992,098,942,846,505,469,
276,751,555,642,856,264,148,366,427,093,202,728,926,795,211,142,491,689,010,
934,031,938,786,116,393,874,930,831,897,377,332,826,246,436,917,497,832,512,
819,543,570,558,696,672,825,505,009,738,034,829,308,648,909,244,565,420,718,
430,813,928,595,936,803,750,631,235,638,983,968,475,018,916,250,321,761,014,
674,333,879,896,075,893,255,865,970,786,160,786,282,720,125,830,497,266,729,
348,142,207,542,608,557,391,200,174,108,829,045,657,111,280,444,997,014,300,
246,035,916,963,675,258,429,239,281,077,197,254,031,284,413,029,592,463,786,
775,664,817,466,771,081,254,971,981,506,263,053,476,457,002,909,820,345,013,
386,329,994,521,598,694,126,848,077,033,249,353,789,891,370,706,870,125,135,
455,561,105,576,446,557,192,891,013,424,109,947,703,942,165,899,780,382,513,
094,924,930,367,125,394,586,258,937,085,579,635,263,255,470,770,882,619,784,
266,478,560,519,337,425,002,016,114,497,671,112,718,380,752,604,268,275,327,
061,623,731,465,163,111,341,808,072,987,583,166,183,728,521,004,015,658,950,
115,547,605,876,614,398,283,395,338,493,728,764,846,443,770,255,660,274,196,
558,347,367,749,166,385,929,800,595,080,308,188,660,345,989,707,231,364,973,
389,791,106,972,933,686,851,911,406,768,670,799,988,207,232,745,267,072,286,
090,073,774,586,526,581,511,071,131,636,393,636,838,047,951,196,862,784,911,
855,782,495,221,184,883,759,042,602,697,674,909,257,992,914,849,391,021,010,
163,451,085,440,703,315,999,844,810,249,560,053,293,287,449,681,228,224,132,
486,109,899,979,974,349,629,492,065,221,714,899,074,701,865,615,054,306,924,
656,368,580,146,566,143,823,120,350,880,597,571,877,996,646,704,904,947,653,
120,381,383,837,029,969,847,932,754,823,724,735,987,322,658,185,480,831,838,
851,339,060,888,801,955,634,189,701,686,859,666,805,260,858,648,114,856,823,
175,889,848,618,821,152,543,251,170,246,625,044,635,148,672,966,796,635,584,
791,711,093,657,549,356,014,654,307,770,788,630,552,471,501,634,004,548,143,
411,860,151,809,788,507,291,609,771,922,426,791,190,608,623,291,913,038,275,
392,762,519,357,832,746,015,020,946,874,198,670,355,583,636,034,844,533,379,
942,439,680,822,603,600,177,708,387,971,573,768,895,353,619,349,900,303,395,
612,152,314,854,232,114,549,122,408,273,662,609,015,270,665,435,352,123,657,
803,915,656,051,418,143,506,600,924,453,544,715,818,291,768,526,889,567,178,
002,916,417,961,326,735,269,602,304,184,563,282,269,363,453,402,159,818,674,
727,722,786,430,362,240,047,454,130,822,506,320,247,721,680,408,038,199,348,
596,987,140,064,144,228,805,289,114,930,656,434,923,745,711,323,507,674,269,
213,272,127,886,435,049,106,829,161,135,966,809,953,131,263,559,689,389,728,
386,122,940,526,878,838,655,638,068,795,696,907,466,959,229,985,818,121,516,
490,035,238,073,371,900,585,915,907,500,462,328,191,360,338,653,963,692,529,
447,845,465,814,493,477,542,178,662,796,464,793,119,030,053,161,052,843,137,
137,175,898,694,641,565,898,767,234,030,172,891,296,867,537,694,925,797,667,
282,317,484,405,644,993,096,550,391,725,155,122,736,657,841,020,764,567,325,
996,441,700,356,622,596,742,843,096,860,917,604,811,217,969,301,846,612,012,
718,050,767,877,307,602,908,236,792,167,068,270,696,723,305,216,325,949,280,
739,077,516,602,826,404,498,242,465,707,634,007,572,346,681,171,682,046,997,
826,939,852,439,947,502,513,855,405,573,556,907,904,451,130,294,317,337,653,
435,129,437,009,825,305,699,447,280,836,857,348,528,970,353,154,230,273,800,
305,169,312,665,455,372,158,847,790,727,483,338,730,036,269,009,597,346,768,
198,932,925,801,633,113,241,400,498,738,321,418,903,494,731,363,060,660,515,
177,197,294,774,759,151,224,488,313,513,398,398,956,715,328,289,882,816,034,
690,703,485,719,030,106,341,466,321,133,248,603,700,165,448,514,552,030,711,
208,061,345,307,938,239,104,813,527,157,458,104,339,554,137,533,291,235,436,
477,084,254,921,081,214,499,511,497,269,151,876,043,136,270,434,167,741,854,
378,361,327,018,172,657,787,535,157,488,959,261,795,628,337,479,921,442,562,
157,218,430,228,037,402,758,273,616,291,914,992,711,159,667,052,166,950,461,
699,624,403,263,030,210,600,762,299,031,381,488,724,365,688,273,071,467,622,
948,233,780,946,971,511,209,702,847,321,369,273,603,681,901,346,845,732,588,
015,759,620,758,486,145,541,049,547,453,100,652,336,909,127,012,800,128,712,
824,171,238,463,097,046,662,549,868,973,425,548,344,728,953,372,580,864,114,
342,973,334,274,634,335,486,947,131,187,321,202,224,782,404,825,859,508,063,
425,125,050,688,358,319,507,103,654,125,022,057,529,351,659,937,002,385,921,
435,350,037,011,366,427,721,578,420,541,810,068,966,873,177,246,209,548,480,
290,107,345,596,966,150,753,997,754,279,355,772,120,581,423,366,222,696,014,
080,300,808,605,623,439,357,472,520,168,897,572,011,621,933,538,535,350,058,
076,143,805,223,014,498,827,759,503,623,636,996,158,021,942,973,233,416,987,
363,504,605,280,589,641,999,207,317,203,655,864,235,842,180,264,505,963,173,
992,193,251,047,034,707,048,581,871,641,480,957,580,938,320,831,513,689,710,
583,361,112,475,895,099,051,907,150,734,552,792,380,815,750,935,773,956,453,
755,623,113,510,440,284,618,645,229,345,371,930,256,728,908,508,193,044,605,
642,991,804,859,670,949,261,695,210,490,790,346,119,279,932,745,755,080,241,
725,403,693,153,582,581,276,784,166,613,628,003,016,323,658,919,662,261,774,
323,777,790,759,285,135,814,489,697,253,263,982,019,907,078,554,504,008,793,
249,363,267,698,249,326,727,156,127,945,424,740,258,081,397,154,086,671,572,
358,839,355,069,708,712,621,978,262,390,342,995,408,169,935,048,774,999,748,
929,001,934,615,927,121,078,428,293,500,277,733,619,237,985,276,692,243,381,
404,253,448,013,413,391,364,607,592,447,919,674,672,892,887,439,775,892,274,
615,597,130,524,347,998,976,377,810,263,183,239,670,502,036,498,842,765,516,
684,679,359,364,567,073,873,852,660,584,692,501,275,182,129,208,513,648,197,
194,411,416,924,780,928,147,542,251,576,153,379,839,018,465,266,036,478,258,
764,505,152,490,084,122,724,511,356,510,537,214,112,989,782,556,001,872,249,
007,484,223,254,501,988,051,544,579,541,420,704,641,253,753,241,417,187,071,
559,006,150,548,400,381,062,102,903,753,255,692,789,480,146,905,608,792,354,
242,708,191,896,176,855,687,170,206,631,920,427,201,704,693,631,483,806,176,
136,338,950,475,225,981,061,885,956,187,792,436,860,862,965,472,101,176,319,
825,234,446,051,719,038,602,513,646,073,025,652,478,002,170,244,229,447,044,
675,586,037,606,438,668,684,296,803,200,678,895,291,436,837,063,660,990,013,
664,243,940,874,333,811,516,757,416,111,603,076,080,724,733,838,648,037,922,
620,719,793,680,346,574,000,448,735,202,255,958,046,274,058,197,975,861,975,
573,107,216,090,716,987,409,601,925,911,057,153,762,485,304,099,626,493,638,
604,236,245,446,605,435,630,259,855,974,218,899,987,260,678,372,620,963,404,
781,548,103,236,248,188,217,014,059,551,301,894,525,883,308,939,773,640,615,
297,733,942,719,785,767,482,998,453,843,044,658,338,749,890,373,878,481,638,
895,492,723,375,256,523,413,233,930,938,256,654,260,210,435,960,137,628,288,
025,397,065,205,387,413,335,671,782,781,458,108,637,296,255,543,797,135,451,
547,841,689,495,986,321,049,708,293,541,339,615,178,759,139,965,973,184,777,
789,627,989,727,734,856,663,564,532,016,967,639,234,389,552,822,833,014,468,
051,299,792,029,884,321,267,885,663,229,941,785,964,899,840,131,336,501,541,
585,827,228,943,730,190,554,408,986,356,169,868,160,837,935,137,567,600,992,
387,087,690,440,041,388,143,319,652,174,255,833,678,827,782,463,496,537,017,
831,256,370,692,632,445,688,336,807,530,482,532,969,885,193,757,710,441,986,
588,520,317,930,147,518,625,246,052,627,508,555,925,640,757,564,418,025,066,
609,936,280,891,817,291,166,785,043,714,568,443,471,360,141,475,453,080,435,
341,973,645,838,182,471,877,306,619,411,414,940,377,320,163,629,431,059,237,
388,863,591,210,111,237,218,519,825,858,602,043,617,539,850,312,895,403,563,
850,586,476,420,593,803,523,744,809,891,894,330,261,061,244,148,951,641,912,
111,432,331,938,203,309,288,868,187,446,443,425,631,602,258,530,541,097,106,
821,247,066,617,198,285,170,701,227,773,657,298,060,190,512,905,770,618,374,
577,321,149,089,746,695,049,421,135,874,222,590,700,903,281,427,776,512,944,
562,351,080,177,724,523,654,142,716,111,348,834,570,052,123,467,352,761,777,
441,885,672,277,257,804,836,175,492,737,021,986,849,824,113,165,269,962,025,
539,050,197,772,457,325,030,250,907,445,202,112,331,191,906,752,713,095,028,
919,722,452,690,451,343,211,988,229,841,330,457,049,585,010,975,465,972,597,
359,557,850,111,915,912,766,422,413,015,490,232,853,987,908,875,154,052,006,
241,245,300,755,613,480,194,165,200,483,750,922,720,325,389,781,880,082,849,
430,877,391,406,332,566,625,034,245,122,813,591,999,493,565,286,898,089,311,
308,523,853,209,083,823,008,895,207,122,769,909,162,075,999,240,892,124,878,
879,466,185,301,059,468,144,023,836,070,967,028,128,930,317,769,354,298,473,
244,835,505,764,315,009,446,270,172,478,713,356,408,544,407,803,618,470,426,
470,215,978,634,042,376,058,480,010,567,684,737,151,854,349,857,015,081,270,
605,405,330,581,868,092,947,630,645,936,830,022,850,165,930,293,952,993,267,
111,113,042,833,319,374,095,900,115,622,878,372,176,917,572,707,263,050,358,
595,422,375,174,971,392,912,448,241,232,429,804,487,170,944,740,542,521,751,
868,580,285,027,078,275,918,808,243,748,331,285,854,512,275,854,005,349,703,
736,816,891,493,496,993,094,445,385,904,129,113,547,404,989,384,407,148,781,
758,673,661,031,341,929,278,407,904,648,290,545,512,368,282,673,513,794,385,
036,862,759,619,729,264,278,232,443,889,542,229,647,945,171,478,451,694,001,
073,155,344,614,684,405,710,104,651,859,523,185,088,342,906,648,927,517,960,
571,501,714,966,803,505,435,814,682,849,633,959,086,863,757,412,951,607,720,
421,401,934,276,158,591,475,274,269,939,840,543,292,492,196,375,924,808,511,
719,193,022,277,524,684,222,541,034,235,785,327,334,916,666,369,551,867,881,
519,554,339,082,321,862,096,267,058,216,470,529,501,407,126,790,881,705,389,
435,130,160,888,963,366,558,400,148,101,760,477,963,723,417,281,816,990,832,
204,203,307,321,346,394,342,806,946,385,762,843,006,826,259,730,813,375,045,
540,006,958,098,357,343,619,431,000,857,977,883,743,613,338,857,601,649,593,
848,791,982,512,910,381,745,809,986,039,714,016,486,561,927,484,425,828,838,
691,804,543,339,651,851,639,982,015,360,286,435,780,902,646,767,597,330,592,
010,314,476,415,971,022,448,732,624,225,666,883,364,596,832,668,702,179,758,
115,532,468,733,003,250,369,453,949,563,065,893,042,882,670,713,880,905,026,
585,383,228,054,550,992,292,594,512,408,579,542,397,334,684,521,040,349,564,
046,083,949,643,875,977,129,552,108,712,707,773,784,097,351,419,428,256,344,
533,284,347,145,024,568,395,195,813,334,695,557,396,458,634,292,619,606,226,
358,215,467,507,472,770,272,256,097,741,216,775,857,115,390,521,155,253,962,
038,243,958,313,761,492,126,826,624,453,805,642,743,015,825,342,757,193,906,
343,498,261,912,735,669,910,764,093,439,586,133,338,407,222,648,787,112,570,
051,081,634,125,003,607,875,634,736,907,768,847,736,865,958,729,753,379,589,
019,323,142,958,466,167,047,197,666,327,000,380,206,678,101,020,148,431,581,
644,153,468,241,383,969,050,005,385,925,231,983,401,765,248,460,841,709,158,
884,652,087,686,615,855,207,722,472,088,945,025,135,647,103,255,017,849,651,
356,980,417,889,741,333,764,454,251,574,018,557,491,558,370,168,086,188,046,
842,135,682,202,226,528,939,734,266,389,073,479,471,764,895,006,867,504,914,
768,912,840,027,262,975,258,440,149,753,320,474,056,044,861,128,598,488,718,
087,258,348,991,327,168,301,301,479,072,313,399,747,217,340,682,501,561,765,
994,507,269,583,701,356,382,072,174,627,951,471,622,693,416,447,818,850,106,
631,934,768,562,012,385,898,227,227,734,936,889,377,677,804,298,671,394,957,
697,839,768,836,316,738,785,224,723,143,960,053,507,145,750,011,566,877,740,
746,562,762,697,463,564,947,352,732,167,706,191,443,446,180,790,099,781,906,
286,769,333,349,594,278,001,101,879,477,926,587,728,552,148,704,318,029,539,
760,752,786,967,671,318,526,445,231,985,991,643,845,704,086,186,359,413,479,
067,510,739,913,755,642,244,626,937,081,078,211,742,697,790,522,817,229,052,
766,235,316,915,492,667,934,885,116,687,065,604,351,327,813,519,571,788,982,
320,298,334,684,493,832,250,700,486,630,658,254,686,989,004,909,454,831,226,
148,086,962,547,829,247,213,580,657,001,634,810,021,646,024,995,818,074,917,
352,888,061,172,652,758,913,661,212,841,205,970,116,541,945,488,364,594,492,
381,981,777,306,771,890,441,083,983,043,151,292,013,469,447,719,555,930,318,
473,048,029,611,901,712,849,606,947,277,978,649,861,974,684,937,999,832,969,
364,018,195,861,353,009,180,201,351,761,185,053,984,867,002,119,444,480,064,
736,864,992,391,937,258,946,083,214,945,105,451,121,044,452,256,461,265,426,
169,759,637,098,045,984,545,561,837,628,198,842,183,432,766,299,616,074,677,
803,555,108,767,054,255,718,028,785,108,848,792,204,359,596,442,697,480,304,
755,338,352,348,073,055,937,046,851,919,970,309,076,583,536,434,334,393,134,
186,022,821,919,948,423,221,643,541,148,317,600,612,552,239,672,159,790,167,
134,606,671,062,021,073,183,914,713,831,733,786,095,268,109,307,799,745,432,
676,233,043,206,868,075,717,180,421,769,505,290,713,995,430,805,008,226,699,
319,344,082,778,881,674,533,599,227,946,187,609,550,891,548,770,491,088,476,
876,007,257,153,027,869,655,529,048,207,618,887,092,719,869,449,469,985,338,
409,464,258,647,185,163,182,735,611,996,667,530,251,758,525,248,036,849,714,
069,925,191,852,543,139,628,028,650,159,974,350,943,664,839,170,871,827,223,
067,147,583,792,848,027,009,167,460,148,975,019,071,867,939,136,613,326,541,
366,252,076,084,831,566,103,208,444,644,703,750,448,625,165,643,574,102,936,
877,095,078,688,658,786,679,426,723,476,703,711,999,144,532,798,882,645,198,
193,403,048,297,719,609,746,100,110,181,886,894,085,911,063,595,895,063,208,
897,183,832,704,383,255,959,695,030,195,631,164,327,279,910,454,918,356,944,
359,523,048,146,594,235,017,863,156,984,605,339,837,929,584,159,274,189,967,
597,349,256,930,357,191,424,009,261,987,233,360,043,515,196,831,977,624,991,
014,398,176,708,835,732,019,628,015,691,346,204,963,174,298,530,260,564,327,
845,236,771,084,101,745,022,778,965,450,153,106,339,035,365,355,259,071,923,
604,763,620,666,365,679,230,462,566,424,582,636,246,354,096,577,944,774,579,
596,914,844,046,426,668,534,772,321,335,456,475,972,633,245,825,140,570,514,
975,183,047,092,358,907,395,779,852,785,997,653,013,652,551,197,010,497,026,
163,347,273,049,294,982,752,284,989,073,383,903,985,160,543,484,568,824,919,
875,583,508,613,279,254,303,682,742,730,589,371,505,385,643,753,489,311,092,
506,553,931,037,323,220,284,916,447,854,513,401,433,497,791,381,712,258,821,
457,611,612,332,861,374,960,530,699,648,682,557,663,378,302,190,288,454,414,
337,445,005,623,946,289,988,047,240,388,398,256,962,952,419,606,077,562,339,
423,790,385,223,567,914,931,857,887,603,657,117,985,668,671,971,497,414,464,
813,160,560,664,224,532,299,249,447,157,725,764,024,917,164,442,498,668,604,
412,943,323,399,189,415,952,279,102,343,198,537,364,288,331,819,969,351,605,
009,224,198,569,190,621,652,157,983,035,757,940,812,141,255,085,798,714,128,
134,799,883,687,679,307,063,073,135,963,120,040,827,841,956,550,345,494,056,
008,216,744,880,527,378,060,782,747,150,899,071,558,505,079,369,302,860,938,
699,473,581,065,758,576,652,226,752,574,096,454,339,538,850,239,188,523,173,
882,123,448,784,572,019,953,156,100,816,531,568,143,453,592,811,386,395,426,
342,673,930,601,448,085,334,904,431,548,183,825,111,591,260,188,487,164,257,
183,453,122,638,481,817,474,045,007,196,291,433,335,857,750,459,469,692,267,
917,343,505,020,302,660,024,854,835,439,163,021,204,047,743,946,377,676,008,
016,267,997,350,207,446,379,148,005,862,836,734,857,830,173,133,912,670,742,
863,588,304,135,699,698,712,453,972,548,143,114,813,187,590,058,544,004,468,
378,981,088,833,396,219,767,024,983,732,371,175,202,211,995,630,353,951,926,
897,230,819,497,257,527,095,363,401,108,843,193,943,658,207,794,678,358,930,
131,313,305,689,432,800,304,849,723,791,275,803,151,197,079,606,481,154,054,
252,682,788,303,913,418,587,386,431,584,643,651,721,853,238,074,911,992,556,
960,241,479,852,638,123,736,792,541,163,265,461,388,913,416,404,801,977,623,
488,146,517,805,225,618,064,654,402,536,957,031,752,244,425,014,753,294,981,
308,195,253,693,386,171,106,731,167,341,413,789,040,875,750,151,812,364,665,
882,868,638,984,579,994,418,655,982,820,553,819,141,865,703,326,185,991,285,
154,830,058,047,695,852,918,211,832,089,487,673,407,046,426,985,783,349,312,
318,809,382,618,464,519,267,728,440,579,927,006,549,689,688,142,118,016,127,
287,738,990,525,749,451,667,531,838,457,694,910,871,444,757,106,101,219,284,
995,954,038,467,480,582,527,193,562,887,508,447,430,116,634,355,363,031,415,
403,269,212,781,628,787,664,342,105,695,153,086,150,589,070,484,355,589,420,
351,603,865,375,701,872,931,193,996,484,721,031,789,459,131,717,808,642,407,
268,354,720,361,819,470,786,818,683,503,780,228,289,663,775,098,457,611,035,
236,377,441,857,639,709,084,483,751,274,273,423,906,574,058,663,413,453,638,
374,533,303,701,986,340,012,460,263,486,269,406,807,440,840,129,588,296,831,
564,799,937,323,354,233,073,868,928,970,232,814,895,683,350,866,200,778,550,
739,051,207,483,754,007,985,098,271,939,240,710,151,901,330,065,240,677,027,
415,628,870,673,267,992,651,673,896,363,467,049,734,868,187,047,358,146,286,
143,540,863,128,844,730,637,582,792,011,104,148,177,581,493,852,022,994,264,
505,044,865,153,315,365,111,325,620,652,145,259,103,360,527,233,306,898,681,
067,055,997,711,278,840,686,590,439,808,616,409,032,454,268,213,710,868,705,
435,480,935,710,793,961,186,028,027,796,028,250,153,447,228,261,327,283,860,
323,632,447,690,193,727,701,396,037,810,148,009,470,554,405,024,219,326,794,
688,412,212,906,224,087,365,021,476,938,005,374,914,316,379,963,189,638,292,
325,234,120,426,766,140,126,181,820,949,027,418,836,212,811,187,564,438,030,
681,595,463,565,436,065,229,748,250,927,700,557,538,221,356,732,582,037,131,
375,403,166,139,343,635,086,089,415,530,855,127,622,419,771,625,885,494,850,
423,830,806,138,547,250,983,809,222,454,678,053,756,442,730,103,941,728,096,
678,352,625,164,882,569,483,686,903,185,422,405,251,068,695,256,411,419,528,
754,684,269,167,378,332,671,198,625,602,217,360,177,957,815,649,165,543,617,
857,746,180,332,769,159,220,782,519,839,026,224,426,396,056,497,093,481,869,
047,222,339,599,588,211,053,276,166,763,849,746,562,527,521,388,942,030,107,
459,168,696,432,609,395,463,787,472,838,843,643,452,931,423,923,423,207,197,
410,873,087,164,086,875,766,965,543,780,334,887,886,995,064,074,179,291,647,
361,704,547,747,451,633,199,169,766,569,008,682,036,560,483,161,887,730,027,
808,095,299,668,803,969,771,337,853,717,182,631,768,081,016,396,128,763,719,
471,354,648,480,211,357,097,208,805,286,192,419,550,279,840,181,342,888,685,
093,148,428,081,305,771,094,177,742,290,681,022,759,517,690,997,749,059,876,
667,155,905,569,363,440,972,496,287,929,920,675,248,806,351,520,665,765,655,
899,737,526,583,577,372,673,058,592,948,780,821,970,518,533,743,492,798,108,
993,306,134,774,341,480,566,485,558,425,246,513,361,681,881,181,020,039,150,
772,885,588,827,962,272,152,755,935,496,781,139,553,884,690,823,167,873,034,
902,955,819,748,856,361,416,869,330,282,841,035,365,775,559,899,052,927,647,
812,503,272,642,132,537,071,596,256,804,254,229,756,188,739,650,105,498,798,
897,328,980,354,971,306,394,517,907,805,496,675,679,284,166,642,162,736,634,
674,666,521,140,713,747,604,455,594,813,819,849,063,721,491,975,283,331,764,
853,333,546,342,035,042,087,040,080,211,163,048,302,037,239,527,503,100,658,
728,772,313,309,583,598,266,962,436,094,962,934,612,456,167,019,741,662,543,
840,816,092,719,076,496,773,908,203,152,732,880,835,255,564,498,355,380,909,
893,299,196,869,132,928,398,106,451,304,019,481,834,837,031,041,948,656,136,
431,307,016,845,607,542,390,729,576,446,862,232,591,975,385,823,040,788,521,
367,051,212,849,395,219,392,872,480,448,439,180,332,663,783,903,336,782,118,
327,104,967,141,408,744,475,891,823,926,568,329,820,761,401,819,310,998,811,
659,084,462,794,037,031,610,302,945,972,229,123,430,788,700,362,460,647,845,
163,357,567,630,171,135,903,971,985,109,795,341,043,364,435,838,661,413,235,
708,466,860,380,069,553,106,675,225,301,447,753,022,159,649,892,345,728,453,
830,064,484,095,979,835,397,655,853,408,203,241,522,695,406,360,796,774,828,
960,921,717,093,942,215,908,620,174,623,720,318,835,710,186,994,341,927,758,
739,952,382,014,948,503,651,729,660,855,533,826,613,647,196,822,952,431,248,
403,306,546,482,955,777,359,331,234,093,740,919,303,581,915,877,688,783,279,
851,922,194,666,879,065,684,062,513,276,867,623,501,214,656,052,520,707,490,
058,707,792,481,501,905,585,193,128,080,829,811,312,699,476,593,089,392,941,
178,799,969,424,011,330,695,299,125,108,865,633,713,286,049,263,590,260,133,
780,858,479,829,351,341,584,242,234,169,516,093,896,532,994,321,328,837,091,
462,417,341,527,647,285,970,883,806,910,850,739,069,938,853,896,021,855,590,
359,695,856,557,185,932,874,198,931,812,916,224,564,159,795,870,578,026,573,
867,727,961,819,627,964,893,297,595,785,391,332,418,017,609,127,920,484,378,
008,102,332,459,373,446,622,253,987,962,728,863,972,265,778,474,414,107,962,
700,026,350,716,566,591,706,068,672,940,540,504,699,832,267,241,479,436,511,
251,312,361,164,208,953,046,704,586,082,323,884,074,663,185,404,971,341,473,
823,396,575,211,822,026,574,289,518,511,967,497,393,366,199,732,095,287,486,
639,795,402,569,551,022,328,583,163,124,353,522,605,558,573,931,432,605,417,
778,326,096,852,517,356,957,483,250,738,017,379,757,158,670,157,612,163,369,
066,267,405,180,626,182,713,912,395,226,450,376,949,728,363,939,902,887,408,
547,580,691,061,019,193,714,697,661,107,053,752,078,893,609,624,420,494,408,
512,943,002,549,063,077,087,361,045,062,626,209,824,961,811,397,063,595,556,
632,374,152,501,820,465,624,621,757,175,890,088,423,800,954,355,372,861,597,
975,576,497,732,699,577,076,628,673,281,742,773,318,521,206,946,195,043,388,
182,977,226,837,159,184,182,443,814,013,207,344,237,927,887,637,362,634,302,
971,981,734,967,215,532,541,357,869,899,923,116,067,887,075,816,326,667,499,
908,677,129,362,588,396,549,504,669,994,100,709,477,691,768,612,224,951,997,
305,430,673,807,919,772,665,771,380,671,475,431,099,031,219,458,866,760,333,
943,011,063,490,530,880,436,953,852,709,718,117,391,326,204,696,625,938,482,
472,621,241,685,378,380,234,091,588,875,102,729,301,511,161,813,927,267,553,
446,047,725,955,395,446,082,519,998,781,102,408,357,861,631,570,415,899,931,
456,263,903,839,331,850,345,770,234,034,307,009,028,624,033,920,640,891,542,
125,506,649,240,418,724,075,066,143,497,834,618,689,056,433,982,168,586,217,
510,566,717,748,933,259,021,439,589,415,179,770,823,075,974,569,442,357,815,
232,761,735,114,934,687,849,359,851,213,533,549,018,036,818,834,923,384,622,
542,277,917,236,532,019,451,484,823,892,242,150,360,006,754,674,573,347,405,
792,488,845,298,707,348,262,780,890,672,893,574,731,165,550,703,120,460,773,
941,638,232,520,276,046,221,334,057,827,616,777,220,238,161,000,455,061,537,
767,246,297,146,188,002,652,275,410,904,172,142,209,105,456,951,782,706,682,
617,890,292,832,166,028,109,522,112,535,806,200,704,112,966,697,891,600,408,
190,605,532,866,593,072,558,371,724,563,499,999,840,675,016,118,053,215,595,
427,557,480,984,948,809,532,048,284,987,556,118,088,130,384,969,511,405,651,
039,662,132,613,873,640,159,138,130,157,656,060,799,831,385,020,067,963,331,
004,593,913,581,358,499,379,578,612,646,452,642,883,943,325,459,298,183,150,
129,199,411,614,327,755,403,348,138,085,912,714,806,619,482,031,229,701,574,
336,177,619,687,604,807,848,275,309,683,313,378,476,738,896,892,711,696,533,
297,393,109,941,847,302,086,901,324,088,774,501,411,260,123,783,467,050,014,
459,684,620,905,704,080,386,872,020,009,597,030,677,259,909,896,067,667,884,
898,302,880,642,427,943,407,049,229,907,699,695,842,289,356,709,795,960,144,
915,406,870,383,200,519,010,829,511,014,765,729,627,526,823,969,355,117,705,
004,609,936,946,337,852,014,649,586,155,963,496,890,204,385,535,941,900,329,
805,971,401,777,647,008,120,363,607,810,692,074,751,523,698,401,586,503,448,
560,446,348,687,334,172,519,066,236,793,147,866,665,218,879,420,945,640,544,
636,780,035,182,018,136,841,687,480,393,374,545,238,330,360,725,150,772,400,
833,926,181,859,091,444,165,626,265,394,901,996,834,624,087,093,015,095,707,
593,352,596,204,966,463,351,471,220,720,360,035,915,148,761,936,359,286,276,
147,226,826,071,430,052,211,299,525,445,970,872,493,945,694,574,651,905,476,
172,001,839,292,506,921,043,251,422,776,231,707,177,084,022,517,769,156,998,
964,162,470,116,740,199,295,951,189,686,024,269,912,073,603,083,406,538,610,
386,506,496,678,177,398,079,302,821,099,688,832,873,302,600,000,098,597,139,
243,259,231,242,170,006,211,865,121,303,803,832,309,931,022,219,312,929,403,
731,871,699,016,013,829,225,355,287,734,363,059,770,860,824,046,040,479,771,
392,020,090,823,817,523,914,110,509,326,492,471,478,388,965,157,298,200,393,
206,741,896,161,051,882,657,078,764,569,294,573,572,238,601,741,434,609,431,
381,493,554,508,105,116,771,177,392,654,321,531,200,583,855,064,836,829,008,
058,947,393,775,549,684,218,870,083,278,699,746,721,335,250,870,688,039,579,
147,395,478,687,372,953,532,614,380,953,930,470,707,188,301,420,234,255,768,
940,223,096,522,420,602,119,870,578,659,140,152,458,584,098,697,515,169,074,
461,730,258,595,963,672,790,897,170,414,594,135,682,445,812,598,827,289,892,
078,325,727,034,718,093,604,888,086,445,664,692,448,611,593,556,598,387,309,
574,222,489,252,917,002,928,350,463,801,952,808,103,033,107,121,774,772,331,
248,446,141,074,290,031,712,621,748,079,924,575,887,929,465,121,710,045,128,
873,724,312,924,395,606,576,385,954,302,054,668,213,472,682,524,698,279,097,
532,305,933,997,959,556,016,921,373,473,916,178,599,832,347,302,146,018,775,
428,059,151,217,895,855,272,033,732,062,244,625,194,486,352,530,094,617,036,
059,126,893,787,695,146,530,863,669,629,627,025,705,878,681,523,717,430,867,
705,538,191,030,840,720,774,463,796,222,903,508,776,487,451,399,025,239,078,
018,037,683,829,018,563,970,918,054,588,073,134,184,164,458,121,274,317,517,
773,428,600,557,822,139,624,032,928,967,345,403,159,011,929,303,231,442,072,
637,651,812,378,348,741,994,113,787,590,140,377,185,528,579,722,012,337,532,
430,056,964,965,988,895,944,484,977,159,688,870,771,082,690,236,255,513,351,
730,622,705,381,993,774,464,109,782,252,148,599,365,244,245,499,271,237,043,
172,760,130,367,188,575,409,806,594,361,214,918,982,491,295,962,117,463,294,
208,447,672,463,714,603,694,499,180,280,319,012,433,866,480,901,988,617,473,
020,433,708,836,521,677,534,000,430,330,977,858,238,178,359,651,690,743,826,
544,314,876,833,312,950,962,212,797,578,252,091,368,290,805,779,037,208,353,
530,914,134,260,563,073,838,445,280,322,869,152,869,619,080,522,259,006,759,
273,926,053,032,813,392,078,680,652,409,410,442,569,597,520,566,753,187,093,
916,202,392,364,849,190,959,483,913,272,194,540,036,424,761,819,517,092,937,
011,240,331,028,311,257,681,253,596,158,960,917,593,936,189,133,620,321,180,
879,604,115,591,759,060,459,803,919,749,278,851,775,520,529,549,492,783,849,
332,456,094,254,113,481,142,207,747,945,021,301,254,271,273,630,072,190,881,
662,668,819,754,810,980,041,875,306,278,515,113,694,657,928,575,167,394,431,
554,951,806,374,099,489,455,191,611,609,767,018,235,466,572,258,662,805,810,
799,870,736,458,064,854,381,591,397,649,321,979,570,134,966,156,021,406,347,
771,515,147,372,725,006,569,082,504,594,096,261,158,952,370,480,160,713,545,
790,250,656,027,865,999,454,783,766,429,532,605,846,798,600,000,287,025,711,
415,373,942,266,713,005,807,563,775,397,467,710,664,237,732,946,717,499,776,
723,891,119,772,140,465,382,254,857,923,908,498,448,917,121,635,077,006,922,
435,090,449,147,786,530,161,056,585,898,467,391,463,317,140,129,498,032,225,
716,341,831,774,035,013,409,362,328,387,715,095,133,274,633,766,787,411,398,
217,526,238,280,629,416,007,686,728,822,293,652,225,930,564,370,964,220,011,
970,820,088,617,884,728,872,375,984,568,051,404,771,806,233,500,429,538,661,
043,089,682,953,975,495,766,395,048,593,950,931,582,973,063,431,749,852,245,
748,425,188,093,962,060,561,310,143,492,439,580,484,465,938,701,366,524,733,
731,890,811,139,804,951,526,537,133,349,865,677,820,037,098,290,320,364,516,
923,562,606,810,477,232,363,098,164,943,431,164,515,231,057,860,444,237,055,
580,434,893,975,701,258,595,750,097,974,029,027,762,258,420,559,791,284,150,
044,419,527,470,982,889,001,751,755,013,955,857,396,799,177,168,058,926,036,
760,247,322,344,394,384,482,613,374,485,391,964,917,499,935,350,291,303,836,
070,874,515,710,512,740,295,861,425,209,436,856,758,175,141,699,524,086,642,
639,555,921,074,626,059,860,269,749,058,852,425,219,171,914,839,961,881,181,
921,447,850,279,500,804,170,451,791,610,606,880,719,533,951,376,711,534,209,
319,452,423,512,442,390,358,445,949,660,628,261,863,746,794,959,915,744,946,
677,326,351,363,118,429,190,547,828,515,771,803,971,190,340,546,453,314,960,
344,599,207,119,265,424,131,475,761,463,589,153,453,134,018,108,204,737,172,
985,303,314,917,058,783,577,779,222,614,083,833,132,806,405,821,760,922,133,
259,378,959,457,850,348,440,725,820,634,165,016,938,598,152,941,126,960,314,
819,893,345,084,679,956,844,675,214,482,092,230,349,588,634,625,042,356,431,
236,258,837,057,734,547,432,737,634,888,900,966,919,323,843,211,361,547,783,
885,148,564,899,094,319,372,566,814,170,331,069,672,212,241,132,229,635,851,
777,797,616,897,463,723,520,637,955,927,341,457,924,418,919,913,406,502,317,
503,805,211,196,507,466,974,660,078,015,419,869,332,455,464,243,557,977,780,
465,720,838,807,705,465,168,692,988,443,084,266,133,300,155,553,584,426,942,
049,203,578,922,045,344,867,800,656,629,041,066,211,517,312,776,037,804,424,
088,507,866,436,168,169,723,875,162,683,376,455,962,805,918,433,374,060,732,
830,831,869,262,043,183,220,667,834,434,964,659,282,165,838,763,702,173,388,
487,988,594,262,744,329,289,089,026,675,043,919,390,212,942,348,483,359,971,
239,257,420,437,624,876,030,564,819,808,122,611,322,058,784,622,108,125,362,
715,916,543,901,362,254,235,989,809,020,521,551,736,976,912,475,431,922,963,
842,338,783,232,251,034,651,080,744,416,331,246,132,075,771,914,085,703,134,
399,615,586,592,542,647,574,562,061,609,180,830,883,907,048,158,599,391,855,
557,079,059,999,608,121,139,656,718,468,748,334,765,492,992,791,072,060,127,
077,727,361,232,999,885,896,690,055,573,254,864,627,399,989,929,867,071,248,
340,780,146,272,611,080,879,362,077,654,313,687,638,363,391,331,552,298,615,
721,369,016,594,776,577,644,781,652,293,034,397,072,306,033,444,846,097,098,
576,453,461,198,831,553,798,868,168,620,708,845,852,903,761,444,125,151,134,
225,670,027,367,735,685,772,136,092,759,570,367,288,326,133,686,009,431,180,
858,696,801,116,226,234,422,208,025,603,048,258,934,132,588,867,528,543,053,
595,798,209,995,645,921,288,613,785,785,907,618,725,454,413,711,188,562,310,
629,389,308,381,415,159,328,181,509,382,107,367,758,821,838,235,532,345,573,
365,698,749,399,647,549,490,480,035,224,836,597,816,495,872,559,000,021,813,
199,791,379,734,169,639,178,324,026,851,911,938,849,610,860,302,003,795,910,
933,112,084,528,683,245,587,429,904,036,893,854,692,292,016,866,672,661,673,
614,830,268,447,157,374,164,242,892,980,747,519,881,715,070,290,247,312,972,
086,356,441,343,958,690,246,064,292,104,811,609,502,138,791,745,323,150,889,
682,702,979,555,429,434,719,515,198,813,127,164,906,777,528,601,346,544,904,
043,935,572,862,485,126,151,603,097,038,066,575,692,363,793,792,363,180,556,
882,710,967,748,215,700,617,220,310,065,550,685,331,677,932,474,372,761,019,
466,812,569,529,681,805,044,365,250,558,813,825,467,237,610,392,394,775,040,
539,166,778,921,328,328,281,579,119,988,064,633,823,377,825,117,686,792,075,
695,003,496,162,089,241,473,045,790,183,482,878,171,730,075,877,529,561,387,
039,560,502,321,563,791,068,584,332,009,874,924,177,510,153,886,888,087,690,
874,440,469,447,211,366,503,110,709,011,736,873,001,988,712,090,841,787,009,
168,569,457,038,188,036,545,965,286,679,647,336,152,240,969,065,797,194,315,
937,044,491,220,092,039,106,021,091,093,472,249,375,869,744,593,566,574,869,
070,272,622,754,299,712,208,685,746,012,863,123,839,597,942,965,102,441,528,
575,081,644,670,315,475,757,957,003,567,934,758,080,680,036,625,362,980,394,
860,617,931,701,137,272,029,963,744,834,477,802,122,944,384,693,129,384,525,
109,202,117,553,662,379,108,344,193,820,372,590,221,401,140,533,522,070,699,
664,587,824,223,074,076,108,272,545,394,235,626,482,047,160,317,071,396,025,
379,626,797,078,576,430,417,683,540,194,417,777,564,140,224,616,522,074,576,
672,544,154,660,067,893,656,794,490,575,635,166,987,635,538,515,569,012,209,
814,225,189,104,516,775,287,303,680,069,304,482,601,823,329,291,335,735,238,
081,731,996,810,139,235,308,545,041,475,981,147,999,221,849,457,663,341,440,
139,626,313,892,842,450,857,259,609,905,011,415,399,057,406,549,623,018,429,
305,625,270,554,640,624,158,660,395,760,686,254,004,015,256,645,589,995,227,
926,759,809,490,042,783,789,803,433,325,676,503,057,457,173,162,845,017,914,
442,781,764,368,361,621,998,118,552,345,887,109,632,295,572,762,876,833,557,
904,637,310,358,599,471,897,378,922,226,416,809,238,008,140,821,438,100,214,
832,026,204,436,553,310,554,325,904,995,068,126,542,266,973,584,548,518,632,
576,835,123,516,007,809,216,828,325,175,520,038,431,577,400,625,756,254,760,
272,947,562,183,041,189,789,651,261,016,695,271,195,213,930,041,575,471,836,
119,349,180,871,997,858,903,345,738,318,069,573,321,733,685,077,648,048,001,
640,061,750,889,112,674,573,594,463,099,054,319,003,304,032,029,935,661,856,
030,189,143,870,992,728,650,623,239,004,122,443,943,944,174,426,408,230,333,
909,660,349,978,280,780,047,480,223,747,086,746,705,122,039,962,244,754,050,
442,273,187,750,847,667,148,675,281,683,469,078,447,641,082,528,609,886,786,
516,885,190,736,342,212,192,464,781,106,034,481,334,765,573,011,121,508,981,
457,574,343,995,992,638,763,342,981,524,106,266,172,165,225,534,317,606,080,
474,061,561,215,549,191,932,131,118,333,757,369,331,540,203,983,072,944,686,
142,744,469,573,035,686,673,110,878,745,438,885,014,586,527,088,318,060,677,
564,363,318,467,667,694,640,558,457,652,895,968,568,388,408,795,487,273,613,
878,554,345,998,218,317,667,374,456,901,232,086,809,679,824,697,234,591,834,
974,518,584,751,166,541,595,743,935,818,695,473,088,382,434,595,384,962,689,
657,734,615,152,656,514,220,128,156,355,684,127,401,497,568,055,222,378,696,
140,076,229,124,852,195,600,929,514,625,529,960,718,743,070,609,209,654,150,
765,835,099,801,730,021,436,230,998,139,989,491,688,027,144,689,122,778,016,
451,336,448,503,234,439,333,475,508,381,783,853,765,549,367,394,958,306,443,
908,008,029,535,896,566,782,238,877,510,958,484,025,584,448,287,550,988,999,
067,675,926,749,110,086,394,902,684,751,984,182,701,095,389,265,208,770,190,
779,961,246,647,358,236,237,174,056,410,983,788,969,650,256,045,640,151,576,
155,843,299,664,698,140,344,114,650,490,657,061,406,769,438,272,739,533,161,
355,247,399,920,783,047,602,226,128,198,841,479,653,635,388,117,365,222,958,
276,848,550,616,593,905,040,755,321,660,942,190,476,462,891,481,916,053,677,
927,304,920,325,628,539,409,233,895,822,947,383,198,563,531,232,675,014,214,
479,233,472,339,782,881,001,824,050,105,122,876,432,841,878,590,083,050,206,
080,448,830,046,300,224,754,203,049,087,855,843,349,768,715,618,301,865,251,
687,704,968,497,599,122,370,145,156,277,239,530,598,773,660,169,499,626,700,
380,478,855,311,238,049,581,390,041,824,294,161,550,119,769,428,239,182,803,
882,354,126,116,321,993,842,196,950,937,487,114,069,777,997,595,629,826,374,
670,080,130,744,936,719,830,622,464,086,043,707,577,923,651,569,743,442,067,
836,983,211,336,765,956,850,018,366,586,952,016,329,018,659,834,511,010,957,
793,230,441,531,167,201,317,368,728,514,354,081,638,338,979,270,889,836,781,
738,201,772,452,087,625,888,573,529,347,376,490,146,336,792,360,006,371,135,
047,897,559,696,924,199,016,387,184,509,049,713,110,533,596,862,717,737,608,
845,461,026,661,283,563,627,384,252,254,100,283,712,883,753,564,424,756,857,
190,175,966,319,316,954,590,060,115,368,480,027,043,438,362,692,269,163,244,
714,913,731,067,805,047,043,781,973,947,920,881,314,155,517,153,690,695,382,
119,933,121,967,968,396,123,549,657,772,403,140,934,768,455,434,765,896,573,
369,028,205,212,427,382,869,915,529,856,488,860,572,805,974,349,898,700,404,
249,230,434,533,270,337,161,641,641,059,772,718,695,493,066,742,498,430,148,
106,816,662,690,326,334,863,714,276,101,753,590,105,384,267,786,700,013,206,
997,161,464,735,781,162,826,321,643,126,705,354,985,849,553,094,520,603,707,
671,665,664,895,892,522,772,793,393,739,464,325,184,937,326,627,424,978,769,
329,248,955,128,579,822,305,402,787,384,983,738,269,519,382,542,463,809,765,
900,591,571,887,132,818,627,935,315,342,402,238,086,472,508,189,019,731,424,
617,188,073,638,990,224,441,661,293,443,986,811,195,517,742,226,387,578,950,
524,680,581,888,210,966,021,748,307,852,438,540,661,747,141,867,106,478,295,
967,983,735,816,175,259,787,084,693,598,590,336,957,022,601,817,298,367,241,
546,880,663,197,663,404,490,363,045,965,943,910,308,461,481,525,112,657,798,
672,078,057,659,603,571,999,382,654,216,090,823,571,756,396,727,228,107,138,
100,459,020,451,143,543,321,682,431,898,498,361,696,239,036,354,412,196,828,
775,207,188,149,820,416,182,661,612,639,101,061,386,796,551,862,391,692,104,
927,316,711,353,794,601,350,605,540,647,705,768,093,937,983,459,607,930,424,
446,146,261,929,593,050,203,319,368,051,497,091,991,027,529,459,575,110,695,
445,013,055,483,092,932,616,069,258,664,420,262,866,899,907,481,283,204,926,
110,913,629,176,841,956,055,947,942,042,398,902,336,762,708,993,000,241,862,
923,479,340,118,988,807,700,155,322,660,654,586,799,197,919,772,573,749,937,
952,463,541,394,183,139,947,937,697,278,137,920,807,341,749,608,050,698,433,
846,847,899,573,652,336,014,054,827,910,427,371,841,318,007,636,884,347,922,
414,251,536,649,289,104,782,928,305,971,729,852,367,687,568,796,145,813,498,
420,025,533,501,817,328,747,982,746,608,106,933,875,170,606,929,375,474,767,
039,918,276,537,865,176,947,159,362,597,101,629,604,209,664,301,458,770,943,
865,536,995,008,865,509,273,057,683,292,130,977,027,870,958,634,798,495,983,
599,546,205,121,527,919,543,300,450,093,928,363,564,089,106,245,526,145,013,
917,635,866,260,774,759,839,843,484,640,266,378,635,454,947,332,070,744,250,
499,698,904,709,200,752,677,723,442,939,764,694,090,850,963,131,279,840,838,
139,904,983,317,302,904,164,507,382,028,344,661,885,166,032,658,418,024,500,
518,468,585,744,586,389,982,525,784,387,767,238,100,061,089,437,028,057,426,
945,597,751,171,851,468,035,789,250,651,505,086,807,212,191,395,693,186,442,
052,193,022,275,023,572,909,273,644,817,598,644,119,649,922,577,143,055,915,
944,720,393,325,680,602,074,331,837,466,704,690,091,580,302,531,169,668,635,
980,365,882,502,769,183,748,632,861,301,544,048,943,369,531,810,602,039,709,
535,089,980,472,667,040,577,193,000,566,417,517,467,418,573,449,732,509,440,
376,748,695,426,712,650,674,415,612,218,819,526,285,094,902,205,131,942,600,
342,466,575,625,024,176,104,420,921,897,551,642,655,995,860,138,548,607,500,
029,679,677,065,272,065,124,702,386,878,091,107,508,589,410,281,433,900,059,
160,826,186,633,477,763,097,092,621,451,384,128,135,932,057,321,085,908,787,
341,824,815,085,211,139,570,217,261,440,619,304,204,216,329,596,572,945,012,
951,268,060,827,842,071,146,202,685,093,787,279,765,824,082,831,859,560,510,
261,105,056,313,875,807,992,413,689,845,712,503,743,781,391,314,441,088,676,
442,543,974,831,662,779,089,911,689,243,957,979,843,402,097,645,736,662,954,
384,384,577,036,533,368,617,219,887,653,742,130,892,699,298,471,123,702,521,
333,601,894,107,745,622,725,066,003,871,431,614,860,979,957,242,879,112,372,
132,296,572,001,678,835,372,200,377,758,594,033,200,710,361,343,884,988,868,
813,631,047,620,387,734,255,951,764,465,278,246,459,713,680,996,031,040,553,
976,996,914,735,543,616,957,702,186,430,546,543,542,033,563,058,765,145,937,
011,838,513,251,717,765,200,979,810,096,018,147,811,268,411,694,655,437,704,
625,620,705,418,124,795,969,923,531,295,494,403,781,348,435,826,954,882,629,
543,838,350,936,801,563,247,572,815,190,939,041,712,420,211,852,636,182,710,
477,840,640,708,263,484,543,997,792,370,797,973,332,855,230,593,229,040,679,
711,339,970,309,611,222,929,431,363,498,314,283,295,135,504,821,452,303,388,
260,714,624,449,340,292,333,267,986,085,582,476,578,848,130,714,286,336,479,
683,592,977,713,393,377,941,553,162,633,378,824,995,058,768,140,449,780,455,
284,419,377,450,823,450,995,701,431,973,861,623,220,708,101,107,443,427,975,
361,454,094,654,730,839,409,393,944,694,473,199,102,165,864,457,707,432,291,
681,944,615,609,794,534,740,928,259,947,367,967,738,481,921,316,492,036,117,
776,215,680,058,109,198,898,601,369,752,817,195,511,592,569,564,021,178,780,
350,871,597,991,675,499,522,557,644,552,880,858,035,408,872,818,864,299,419,
968,028,036,854,897,891,016,745,837,337,124,778,087,295,314,195,916,479,360,
635,098,565,996,107,969,373,809,547,510,457,511,295,200,899,592,791,670,377,
487,721,659,989,125,985,476,779,546,268,302,975,607,368,125,487,417,296,549,
726,135,643,734,619,262,906,673,114,347,524,389,810,054,115,182,968,948,974,
967,131,812,349,842,331,082,456,519,927,019,114,463,657,980,807,795,592,849,
236,645,458,925,214,988,149,182,330,304,310,542,653,071,577,371,071,718,243,
852,415,439,011,119,013,993,255,403,572,804,377,904,807,404,233,336,125,100,
666,487,855,208,833,464,418,676,132,987,974,007,748,053,223,796,166,301,179,
009,082,055,958,380,138,343,827,151,560,633,846,471,391,398,036,192,447,463,
527,566,391,078,896,021,809,793,447,250,032,930,774,724,170,414,728,358,770,
640,819,244,732,605,932,249,740,133,868,130,914,534,630,896,260,480,641,463,
666,390,058,352,587,727,283,582,159,288,252,882,732,757,996,700,917,230,346,
569,069,201,874,957,315,248,224,217,647,373,900,111,922,892,577,477,663,799,
220,641,963,256,451,342,407,542,120,633,312,961,066,379,807,198,228,318,330,
228,901,927,781,328,268,660,484,941,780,583,572,933,024,578,759,778,642,582,
121,028,256,803,860,433,582,853,943,527,364,117,317,870,399,439,908,820,216,
606,206,160,781,774,994,455,724,814,452,718,609,166,543,133,495,073,358,114,
656,648,806,600,198,960,748,325,463,264,692,248,036,882,087,505,260,241,997,
607,703,729,857,970,457,945,512,081,632,864,782,856,429,261,385,950,676,420,
598,777,525,306,830,214,462,946,383,676,290,897,554,683,987,229,118,202,686,
444,879,415,792,041,190,125,002,875,666,965,069,768,906,813,298,095,549,176,
871,458,204,919,947,399,141,641,182,432,850,478,016,230,432,944,457,754,637,
134,345,856,081,068,148,122,041,743,205,325,332,535,243,070,806,378,979,880,
177,368,411,065,748,378,306,344,620,132,688,416,542,625,543,357,330,199,768,
541,891,201,172,457,091,145,125,527,206,837,496,031,822,614,832,923,061,457,
107,947,716,035,941,016,531,796,450,859,677,188,296,849,847,113,481,387,798,
599,117,244,935,368,623,096,200,961,675,653,426,478,380,062,483,726,746,253,
333,940,076,538,133,111,150,665,979,735,089,962,783,729,713,415,564,955,141,
543,467,680,828,397,669,876,048,942,259,726,223,579,058,643,127,260,448,949,
222,792,553,201,503,364,430,855,287,314,504,904,498,075,726,041,072,367,903,
525,429,487,046,659,788,903,247,605,774,888,396,628,461,004,951,392,967,433,
863,575,135,318,739,307,981,637,107,907,523,410,341,407,644,225,506,505,957,
996,254,449,974,568,817,173,218,479,026,443,966,159,460,601,223,260,110,215,
415,842,809,581,108,936,287,944,681,931,784,146,676,235,630,009,131,451,909,
316,541,171,386,608,691,781,659,668,855,255,397,026,628,928,037,973,932,964,
658,473,017,370,219,552,646,818,682,748,700,357,513,932,491,097,252,682,221,
115,792,852,178,286,583,298,089,237,278,498,113,281,443,566,980,415,707,850,
169,190,727,813,611,671,134,277,868,791,362,753,465,862,160,149,874,059,634,
569,400,098,864,487,387,197,738,978,520,050,387,809,152,153,717,908,384,476,
237,626,738,276,829,993,276,273,812,056,292,399,566,607,536,370,800,820,911,
341,287,761,600,188,106,460,054,269,533,243,724,623,775,080,537,342,383,918,
117,056,439,102,373,015,412,117,143,319,064,265,086,847,808,311,597,794,704,
590,870,806,681,036,074,761,530,268,149,164,812,987,928,018,113,649,499,488,
069,321,600,545,511,459,707,945,465,523,810,091,558,362,035,036,565,456,067,
203,093,349,025,086,569,572,043,144,284,536,476,189,639,634,299,339,790,017,
837,739,408,256,103,058,346,919,793,597,415,388,919,318,782,907,087,930,171,
951,680,756,197,011,375,976,962,019,169,338,048,074,252,221,130,012,102,049,
228,830,337,432,289,129,638,335,089,746,348,749,848,186,907,913,746,822,033,
846,952,645,146,503,847,632,645,708,019,122,137,694,762,515,688,070,111,295,
875,982,892,873,157,092,953,373,232,125,489,346,476,424,949,777,606,139,312,
811,520,550,960,423,339,226,709,810,380,016,206,042,980,273,905,451,351,979,
352,434,151,389,488,506,690,630,149,752,518,177,433,894,499,154,831,407,079,
272,266,560,868,173,988,530,032,709,817,680,855,579,682,871,477,188,591,758,
226,212,122,777,680,424,849,157,605,806,488,072,980,307,674,487,714,123,824,
739,173,693,145,972,928,969,862,127,209,764,357,300,009,042,042,350,366,235,
123,057,627,517,065,799,988,895,110,126,416,259,173,626,524,087,069,512,121,
878,851,770,097,156,473,403,564,438,476,506,223,283,676,926,575,053,409,631,
110,637,682,455,902,055,631,420,752,556,469,889,918,340,272,180,191,836,683,
073,129,953,434,984,814,457,294,928,895,472,736,032,801,199,799,854,409,926,
836,964,455,783,361,601,236,276,120,928,977,619,389,854,260,157,587,036,715,
808,387,540,885,449,559,355,173,881,155,063,670,513,602,979,004,181,441,526,
260,379,563,622,512,844,260,634,053,697,119,462,243,629,617,753,297,760,640,
041,957,039,952,475,149,737,390,813,433,704,741,351,122,992,704,041,136,403,
671,342,188,244,737,472,461,793,260,344,618,442,161,028,621,509,690,724,592,
031,783,469,821,210,069,569,652,501,744,416,225,277,283,388,657,989,290,132,
786,770,270,933,461,956,089,625,168,607,774,349,268,855,757,001,980,510,897,
994,324,742,920,872,794,912,978,714,436,896,963,077,050,632,415,191,379,210,
041,676,116,703,283,671,250,132,426,127,003,856,255,601,164,006,380,303,683,
725,289,181,080,548,459,673,100,476,279,769,161,502,042,396,288,768,489,456,
768,574,260,906,724,588,927,999,331,570,029,204,271,164,181,820,771,281,596,
501,409,560,894,946,239,408,538,290,174,054,066,871,281,479,361,824,073,887,
540,340,384,508,051,022,697,757,588,812,128,753,247,549,360,986,730,167,837,
049,476,314,894,320,756,319,603,424,783,897,987,254,466,697,370,207,963,287,
797,042,327,556,041,445,838,180,727,213,881,032,479,931,093,836,284,445,166,
153,530,475,568,420,526,660,973,458,781,464,912,422,592,978,403,556,216,581,
739,358,544,582,246,403,129,327,005,584,103,869,220,013,385,109,662,847,371,
128,962,043,597,061,112,583,716,041,972,050,463,328,902,148,377,226,968,005,
567,099,510,557,072,987,460,497,021,748,419,131,819,055,862,434,709,325,748,
694,652,818,036,830,916,253,351,032,542,219,750,789,395,195,728,700,730,671,
566,820,384,870,558,820,271,041,660,677,977,939,490,249,855,711,538,852,307,
625,384,748,022,414,422,584,595,345,629,454,400,083,290,816,176,220,325,259,
412,161,891,548,221,644,050,158,409,906,382,669,960,697,035,429,101,848,289,
425,706,951,554,639,059,288,427,680,553,561,252,866,415,874,051,273,231,656,
134,118,543,352,036,449,233,568,008,190,668,671,387,145,028,648,774,176,375,
610,584,063,254,525,330,301,758,112,088,483,808,716,849,081,600,469,901,959,
601,692,913,857,304,093,454,795,030,886,104,911,037,053,345,610,661,909,379,
676,409,862,026,599,299,329,555,880,250,641,478,787,440,196,114,139,861,724,
692,890,557,111,451,739,066,717,877,385,329,305,274,376,525,248,599,929,915,
972,097,821,461,320,516,001,138,267,110,834,185,701,392,011,562,042,936,654,
149,710,428,173,429,425,013,768,474,488,472,758,363,994,443,206,771,560,889,
416,770,990,460,118,105,676,685,447,919,531,166,851,135,169,071,079,533,187,
676,955,460,923,475,256,903,733,299,579,498,457,293,811,207,977,470,849,823,
065,931,731,803,095,467,365,618,470,006,526,182,299,898,863,500,735,097,893,
630,760,728,844,280,309,893,248,832,299,167,011,176,669,056,741,775,171,885,
373,267,212,977,223,907,388,772,581,984,447,521,567,314,366,577,085,241,984,
488,541,609,197,566,641,156,362,625,998,795,495,442,126,790,565,534,884,903,
015,045,292,468,195,205,044,642,055,368,277,960,310,569,989,029,269,110,192,
350,649,699,432,051,018,296,713,025,173,304,141,627,701,564,491,814,630,626,
408,646,126,544,954,001,132,953,827,895,644,481,922,925,026,362,780,790,384,
623,012,997,134,987,033,200,145,959,194,256,725,989,806,679,351,801,648,630,
642,108,568,058,410,013,548,949,301,788,838,772,170,407,230,123,478,209,212,
316,566,998,088,967,019,926,835,378,739,795,692,950,871,255,137,349,901,802,
237,615,589,119,981,713,742,665,971,144,866,304,833,946,835,872,823,243,011,
710,784,861,320,232,893,589,824,855,181,909,794,797,629,845,561,706,120,858,
286,832,132,907,532,792,377,406,842,782,785,909,054,192,637,880,273,356,229,
988,172,379,214,586,584,691,078,418,122,086,854,404,909,360,995,412,972,798,
207,218,436,469,444,328,099,938,475,770,847,320,802,306,063,204,827,059,210,
556,685,555,516,370,143,921,168,466,401,567,115,542,979,684,213,335,951,366,
514,540,213,800,949,993,741,702,858,203,233,525,042,868,644,755,890,289,737,
641,784,361,803,316,185,936,219,551,047,533,322,400,609,051,181,774,837,702,
005,010,778,314,989,099,574,944,004,570,513,101,914,783,368,146,364,985,463,
006,254,438,927,556,098,585,621,232,499,925,793,313,506,669,638,168,840,344,
857,853,851,251,371,332,448,555,471,380,653,496,364,794,552,908,729,236,292,
756,848,412,735,836,680,492,305,394,127,357,938,260,777,911,525,349,729,408,
899,397,272,288,372,844,591,601,723,838,375,107,621,298,086,596,535,498,392,
964,103,632,584,172,869,775,584,195,118,445,827,124,316,150,261,815,254,225,
525,738,076,785,443,753,516,528,624,689,148,323,224,667,362,952,531,882,193,
276,042,737,587,680,357,714,499,452,647,039,827,137,502,773,311,600,274,102,
374,634,006,771,442,594,206,079,663,563,034,741,329,963,621,427,991,438,366,
393,204,556,439,110,557,845,679,007,539,744,153,684,217,113,656,833,486,470,
140,526,825,370,987,402,430,368,344,347,935,256,711,955,118,350,722,222,130,
210,910,637,964,433,023,872,205,503,420,140,672,339,256,414,883,043,986,575,
056,180,117,083,133,853,138,493,994,021,943,065,141,235,642,023,790,009,999,
000,478,966,468,402,469,013,848,345,699,892,679,423,856,453,361,652,269,928,
452,344,306,804,610,810,718,894,229,944,872,137,703,888,133,324,607,506,786,
738,501,907,483,013,672,948,095,551,178,632,228,382,784,062,686,077,264,736,
608,086,873,320,382,369,256,964,933,640,267,044,198,130,449,370,796,874,095,
122,993,023,683,084,040,808,202,107,285,638,812,648,325,094,020,069,538,697,
872,497,870,922,540,939,728,813,345,082,695,704,794,598,556,027,482,528,326,
821,245,392,200,436,612,895,374,740,244,187,908,303,412,049,278,967,921,817,
200,491,977,616,473,386,938,682,688,905,453,062,729,243,020,693,242,457,665,
296,390,302,177,624,989,565,790,388,771,373,400,379,046,037,677,220,856,124,
307,283,527,894,359,583,136,376,540,634,087,329,638,440,729,461,275,341,133,
827,015,311,611,997,341,641,741,462,275,896,802,705,398,316,043,759,108,083,
611,385,260,944,087,338,188,774,308,936,081,892,962,405,224,871,635,956,520,
879,447,609,333,243,332,447,885,010,972,700,620,991,642,424,261,589,576,972,
520,241,234,895,908,831,766,081,275,291,342,792,611,164,253,051,585,152,125,
190,138,817,507,974,803,100,023,720,077,292,062,696,053,350,135,199,052,264,
479,292,375,275,567,415,331,311,379,698,183,430,833,701,617,086,698,670,454,
857,982,735,511,815,734,525,984,750,662,293,315,733,225,265,544,130,065,913,
730,627,726,440,349,749,392,533,884,557,490,357,619,111,789,760,892,299,154,
293,521,285,546,438,232,008,929,008,957,461,850,317,965,826,532,852,185,045,
949,530,764,907,743,720,995,141,715,535,137,990,185,998,727,693,836,225,251,
819,711,531,368,971,932,995,703,149,790,571,430,256,517,988,100,941,887,755,
513,030,423,919,021,126,308,091,389,432,755,881,530,771,999,074,471,262,823,
476,181,980,894,313,473,142,148,854,876,352,299,406,079,458,987,896,482,932,
913,261,244,266,371,712,632,035,846,062,359,370,995,880,414,021,035,118,421,
204,692,837,277,116,910,259,661,614,017,655,948,752,635,081,185,218,115,149,
975,646,020,788,525,807,750,682,980,872,048,150,996,573,678,176,940,419,493,
819,729,835,460,499,490,190,553,770,372,572,741,560,490,546,278,431,659,654,
174,341,346,784,322,242,202,364,233,118,462,405,729,524,134,757,557,365,243,
458,337,081,505,214,677,076,548,725,950,411,845,190,850,297,328,304,905,491,
746,515,355,375,404,522,376,597,001,750,413,590,989,295,131,321,958,501,521,
833,570,062,721,493,804,651,509,139,971,980,729,123,289,388,338,875,505,918,
543,983,531,314,131,605,571,643,262,397,513,471,418,373,750,421,417,450,084,
379,896,395,324,170,139,021,648,197,156,889,340,878,363,559,734,107,959,406,
273,591,546,881,336,543,785,276,945,048,708,655,723,051,926,165,216,285,065,
968,958,675,511,333,793,265,498,910,457,809,551,244,302,811,412,332,066,895,
578,605,509,674,895,479,123,023,677,311,792,716,099,377,123,695,004,699,200,
226,421,962,691,869,631,666,487,197,976,017,687,397,395,688,776,876,384,329,
952,230,343,246,587,157,559,923,075,474,404,761,596,587,196,890,677,087,300,
271,656,222,009,371,949,267,037,905,243,214,183,458,816,001,134,864,701,098,
329,470,122,180,547,273,274,242,666,061,540,314,086,316,993,752,431,674,227,
876,853,230,975,451,254,088,004,939,776,524,344,855,466,341,796,079,891,392,
439,387,205,333,875,316,957,419,928,497,883,871,193,649,715,235,778,235,280,
018,890,674,978,060,685,256,201,874,289,739,639,149,686,798,606,613,100,611,
613,971,648,215,925,057,969,748,300,357,335,074,381,359,433,887,480,151,163,
664,701,412,249,772,645,519,436,864,941,500,109,611,875,180,116,665,187,114,
274,401,493,095,368,926,729,817,097,630,585,445,432,884,737,976,283,128,831,
801,627,498,479,530,308,795,680,469,274,872,373,356,146,974,132,800,657,674,
272,291,700,274,380,705,793,149,229,142,814,036,918,050,251,525,607,635,816,
937,744,050,794,798,916,231,331,906,986,927,258,295,738,750,510,097,262,628,
921,337,667,896,800,279,662,189,628,017,054,207,228,438,095,513,108,201,814,
785,744,697,741,535,780,012,576,021,571,560,994,441,555,681,001,594,488,882,
089,619,284,153,253,467,250,772,321,790,704,102,184,459,793,565,188,928,917,
693,709,368,712,745,889,508,058,940,829,230,401,205,854,621,501,930,777,357,
579,759,278,752,117,560,533,982,262,922,155,712,543,535,867,949,399,657,182,
979,854,345,915,015,546,862,895,386,319,144,082,936,926,821,459,404,440,425,
540,663,964,043,846,913,288,666,057,021,956,141,562,200,160,628,450,392,112,
522,260,691,541,273,774,203,272,436,850,464,782,916,600,475,358,174,743,114,
292,320,776,689,648,819,127,428,590,860,256,693,536,880,954,786,786,111,290,
344,936,816,079,092,495,304,282,512,025,239,468,757,270,777,936,367,942,061,
838,819,219,702,818,537,738,973,212,398,393,446,393,001,202,633,841,193,821,
374,285,467,440,154,073,506,453,870,726,825,118,774,607,682,909,597,471,882,
078,547,530,254,994,528,096,519,725,207,660,905,676,197,201,054,691,401,831,
491,868,701,374,807,066,099,530,905,943,362,375,268,296,151,722,232,631,231,
285,107,783,147,888,510,852,920,677,993,173,826,568,043,293,461,394,437,394,
662,813,914,403,336,708,986,514,000,432,686,333,159,989,544,233,125,246,289,
021,015,435,677,261,718,705,518,634,020,292,694,671,716,324,703,928,711,438,
944,909,974,749,216,550,507,756,467,501,542,596,078,590,683,772,352,890,515,
172,641,407,479,785,154,374,965,221,447,678,111,229,181,851,356,840,687,512,
668,265,431,424,047,626,274,363,766,205,857,700,082,221,891,467,763,529,388,
276,782,302,285,508,444,577,211,061,188,761,493,422,288,968,705,493,815,696,
947,104,689,509,984,755,959,989,136,857,317,218,578,007,089,598,700,073,314,
086,249,502,053,760,445,480,656,132,726,220,827,566,480,140,413,357,522,898,
280,551,838,279,316,697,904,505,807,568,369,629,025,742,957,309,239,341,260,
069,940,914,447,668,007,667,469,686,579,993,589,317,797,565,072,278,264,137,
691,640,256,806,297,334,257,857,496,707,033,063,486,805,953,291,326,019,330,
854,873,629,254,561,911,967,344,421,251,802,165,135,738,866,840,358,401,630,
480,942,873,173,652,103,090,459,452,064,491,608,244,776,945,964,053,479,658,
344,582,296,499,748,967,075,916,889,872,464,493,933,471,928,376,306,009,948,
196,174,399,990,063,252,491,675,219,808,373,223,658,494,946,528,671,110,496,
812,799,198,041,796,128,169,599,102,203,559,752,612,356,145,510,478,464,922,
031,110,716,633,553,957,177,214,030,679,578,995,822,397,107,120,757,753,164,
596,263,613,098,395,212,598,755,160,817,664,886,045,838,018,881,909,577,200,
432,020,992,771,626,291,688,402,517,251,404,365,734,596,202,122,230,080,888,
604,854,334,963,135,114,838,858,610,606,047,599,608,341,178,322,925,878,322,
927,934,856,708,725,141,128,853,025,195,592,342,303,644,779,227,493,250,350,
664,716,454,425,248,527,850,661,894,652,936,340,465,876,854,524,203,497,914,
481,553,669,329,857,496,198,985,176,695,736,564,499,525,566,230,771,138,717,
777,185,913,802,864,577,560,525,036,207,094,258,488,897,414,897,485,772,859,
514,346,127,622,007,770,231,801,552,650,317,557,487,339,167,116,154,928,256,
871,235,077,678,084,262,062,292,049,522,853,253,684,005,070,562,334,030,159,
026,110,750,988,678,656,986,741,585,218,459,535,050,448,515,984,063,057,494,
404,956,615,212,296,881,366,496,246,558,688,649,652,980,116,669,770,416,182,
936,980,856,806,376,235,381,508,041,570,289,101,610,670,511,407,806,054,896,
543,071,913,263,459,070,511,870,292,154,374,286,660,030,887,043,857,796,911,
586,740,027,445,015,177,802,152,115,404,806,813,039,622,437,822,542,665,710,
184,368,973,159,163,537,128,009,767,849,109,522,000,616,097,251,175,453,082,
620,043,395,118,111,815,142,959,169,326,855,282,457,784,975,631,480,026,311,
880,960,370,717,316,137,550,440,285,860,654,714,801,043,158,068,802,477,397,
596,219,871,160,201,414,625,131,439,465,737,481,672,767,788,715,421,691,063,
598,926,682,363,313,317,907,985,347,713,753,619,983,477,407,741,071,091,542,
011,925,861,640,001,609,926,708,147,205,034,975,617,505,346,342,640,050,000,
497,706,536,959,961,640,297,095,965,106,333,825,912,624,865,014,182,474,100,
546,431,170,153,788,446,858,350,515,642,765,172,445,002,206,396,143,605,337,
389,719,109,431,101,770,876,272,749,784,317,923,253,587,959,968,553,496,914,
048,247,003,501,709,572,682,597,085,125,803,279,879,250,885,897,253,774,898,
499,569,882,375,978,863,935,363,727,559,829,676,365,023,602,875,685,538,617,
299,667,410,251,448,175,889,502,319,892,752,841,510,359,304,045,514,927,734,
236,265,173,331,564,387,122,285,594,668,614,893,247,102,459,637,506,543,842,
829,027,595,819,039,475,405,379,604,718,440,682,879,491,985,130,569,634,118,
399,269,640,630,469,648,823,976,679,853,859,471,265,765,355,298,495,676,664,
077,107,523,513,643,740,199,774,673,214,668,725,874,621,501,060,941,547,871,
525,330,999,593,316,108,099,356,627,308,076,429,994,173,101,648,673,266,315,
508,584,759,481,919,307,022,209,617,203,171,550,228,206,033,132,175,031,028,
228,558,709,668,301,968,250,619,789,743,570,325,405,633,394,553,472,052,841,
851,840,743,374,203,561,089,829,100,474,781,348,736,927,409,134,847,030,344,
126,123,695,625,666,426,498,943,136,413,485,619,636,434,797,385,956,028,870,
790,903,791,798,793,052,203,309,071,170,006,460,215,480,421,146,284,696,929,
812,318,062,966,724,346,476,916,486,124,550,836,302,562,030,964,457,022,268,
571,504,406,439,667,823,685,678,865,065,211,511,649,518,833,479,040,194,130,
765,777,642,045,342,280,452,205,327,257,313,099,211,522,269,119,570,152,845,
680,027,673,327,525,903,857,135,660,837,486,517,032,844,020,386,290,650,997,
570,719,817,696,536,113,922,044,588,963,744,979,553,453,017,393,961,490,027,
065,963,179,525,807,172,518,379,471,510,976,168,144,668,246,048,316,894,128,
731,987,347,928,221,590,353,744,198,005,303,372,759,739,994,190,610,085,013,
169,070,826,407,308,183,462,099,478,973,795,935,315,672,996,886,466,157,048,
759,971,210,121,031,876,217,808,487,779,980,207,803,509,165,267,946,837,657,
958,560,180,979,276,491,690,932,239,532,715,491,869,349,495,581,497,696,190,
745,376,457,171,874,913,871,973,815,552,771,682,775,625,167,316,323,669,194,
470,049,969,109,261,589,707,310,654,363,936,788,604,839,534,676,607,897,410,
392,083,658,652,207,061,099,950,955,328,490,493,153,068,321,905,981,710,475,
940,153,868,859,147,454,294,965,643,810,219,830,489,826,635,029,377,931,808,
405,682,508,540,796,311,962,410,608,706,694,294,645,249,537,601,590,791,764,
640,907,779,593,231,790,571,447,812,736,011,806,791,498,170,291,598,368,822,
455,632,742,794,294,347,414,611,035,760,854,531,204,047,178,919,951,325,493,
297,849,262,857,463,785,485,385,122,252,805,443,439,041,161,925,155,310,557,
060,682,819,394,634,681,807,093,221,272,835,198,161,564,076,740,561,374,876,
414,508,578,680,863,456,123,254,705,934,259,088,327,360,277,838,917,224,138,
901,141,116,354,953,923,022,946,402,517,630,296,718,074,999,011,659,452,973,
955,384,936,620,831,971,809,777,465,257,919,642,944,424,776,654,580,021,666,
024,909,898,032,825,755,024,975,955,446,005,064,140,255,543,910,251,050,571,
985,956,603,687,597,165,933,992,315,748,011,632,613,224,793,522,341,884,926,
547,794,565,679,156,981,217,624,200,387,519,360,473,158,914,839,299,398,450,
895,932,328,121,131,422,510,084,729,642,884,609,888,617,500,846,326,061,025,
261,158,388,891,776,415,588,104,060,154,547,395,488,805,579,340,700,212,841,
650,847,025,697,331,263,541,279,196,553,621,804,073,884,665,614,830,630,541,
232,995,160,664,522,440,409,746,453,359,501,333,492,479,071,508,341,286,395,
308,494,562,350,364,287,560,795,442,127,953,441,278,304,526,888,494,431,435,
526,348,163,437,007,002,257,259,420,633,977,910,296,195,030,939,461,751,025,
859,244,538,711,571,920,407,550,683,815,491,895,484,774,453,410,551,530,317,
962,807,045,366,365,140,252,099,271,228,820,626,079,525,500,937,111,771,230,
752,173,197,816,457,085,099,821,750,180,647,122,630,674,116,193,122,121,888,
939,987,756,829,930,726,656,853,317,162,508,153,681,970,019,680,646,755,647,
208,843,629,953,646,975,146,907,296,945,582,069,355,955,907,639,852,653,595,
161,715,856,331,780,675,311,351,505,813,646,465,115,013,151,811,957,559,496,
779,830,746,749,732,937,159,031,645,843,027,198,821,911,654,951,339,770,607,
579,518,568,144,581,220,432,553,057,467,986,094,422,662,192,337,067,807,458,
610,875,281,953,812,647,120,219,443,356,856,752,140,266,434,150,254,262,241,
350,947,270,237,744,429,165,939,182,967,534,450,687,064,501,225,793,420,806,
668,636,736,039,777,763,763,986,667,633,222,795,787,358,313,513,606,603,163,
670,284,792,267,425,204,551,166,016,385,734,853,211,925,838,277,743,851,703,
684,078,583,355,964,331,131,068,835,551,314,497,306,285,076,385,690,154,349,
972,661,630,989,065,927,028,586,262,997,025,422,794,551,418,750,237,231,729,
941,310,119,269,194,322,151,792,083,814,052,014,242,651,225,914,076,795,600,
234,090,661,941,580,836,807,215,189,600,576,262,325,901,403,924,585,859,421,
620,669,282,967,372,294,757,793,365,825,201,047,245,670,680,506,167,867,935,
921,491,196,292,215,788,933,145,339,623,125,115,265,886,257,968,427,448,781,
454,176,131,090,634,144,189,663,208,971,377,156,183,536,608,613,161,611,931,
338,697,745,401,282,865,813,790,155,192,110,291,850,874,457,534,826,213,594,
077,371,544,716,181,383,443,130,943,672,991,902,514,189,343,930,679,881,084,
038,164,943,800,576,999,222,914,113,699,525,900,209,783,552,464,112,347,533,
453,944,414,508,570,264,191,769,921,755,314,832,502,117,996,294,040,290,117,
099,847,794,088,859,635,561,664,611,665,305,728,063,909,024,710,847,003,349,
368,948,102,652,687,771,517,045,709,135,831,972,056,293,392,670,649,238,673,
479,791,152,674,078,589,039,957,420,731,840,690,973,729,394,509,143,024,745,
976,950,583,568,631,597,698,371,092,731,646,234,643,069,790,610,342,117,900,
185,234,766,356,001,809,277,368,733,161,013,650,772,215,731,980,205,570,187,
546,147,282,041,112,849,713,749,416,523,785,135,812,419,195,944,486,631,944,
419,811,964,132,971,930,568,700,450,246,856,480,529,296,441,526,529,329,748,
072,816,164,235,519,065,057,024,128,728,815,864,780,615,087,534,145,703,405,
355,206,806,477,260,990,025,166,465,611,482,997,748,298,906,046,243,264,488,
291,734,362,471,760,551,507,494,804,381,632,785,310,147,726,103,261,622,747,
103,875,685,825,126,041,646,401,046,399,394,290,879,909,613,844,053,233,886,
895,571,645,808,656,713,825,425,094,029,781,951,126,685,970,700,377,206,079,
262,170,437,493,703,085,923,053,531,703,481,035,376,050,614,219,818,768,786,
438,517,611,745,939,439,131,044,659,153,196,834,271,365,921,717,885,456,504,
024,897,562,876,184,077,440,709,892,920,374,631,983,044,339,333,815,453,227,
935,113,454,063,524,297,440,193,697,907,659,757,370,423,503,411,141,551,789,
266,622,419,647,187,233,514,661,225,806,779,240,518,804,079,339,148,742,312,
309,267,953,730,291,194,654,260,508,509,661,667,700,537,035,315,247,291,836,
314,895,232,402,735,648,001,108,166,659,407,785,353,661,842,563,450,390,681,
844,945,730,910,109,399,346,715,201,336,338,372,373,193,390,331,087,046,711,
871,186,571,950,222,924,562,569,180,447,990,280,934,961,423,969,704,983,445,
013,292,912,088,942,838,909,231,097,402,301,406,166,850,898,328,607,940,732,
427,672,059,508,896,199,929,668,984,067,906,487,632,844,640,740,163,083,227,
514,222,200,959,106,756,269,140,281,436,526,397,015,102,445,996,709,659,403,
947,305,807,601,111,189,432,432,503,538,154,283,587,211,882,160,426,349,934,
502,232,489,028,159,817,141,736,232,410,159,996,209,432,846,673,844,861,681,
360,299,883,639,823,405,314,234,874,567,314,850,625,154,623,417,754,775,236,
176,599,402,030,921,700,229,997,803,323,716,528,746,291,901,247,327,917,662,
397,716,124,206,071,654,395,982,287,428,650,295,598,696,713,711,722,086,694,
404,349,228,678,269,994,570,237,168,319,127,703,331,521,233,907,951,858,652,
122,982,622,981,980,952,928,279,352,661,405,539,989,092,541,030,637,637,161,
935,721,690,735,552,271,688,027,323,296,281,596,806,385,121,737,584,432,120,
920,851,371,841,463,752,351,097,816,572,901,430,742,089,586,912,309,378,648,
588,634,507,235,769,427,612,825,876,591,087,316,630,436,903,206,491,084,013,
046,050,818,787,974,955,850,510,642,041,165,114,596,285,263,074,466,116,929,
322,114,285,657,244,113,136,877,265,273,192,830,996,584,255,660,114,085,606,
678,651,282,262,134,294,346,338,449,596,143,753,248,236,337,803,645,459,525,
036,523,497,886,250,218,596,185,089,342,596,081,061,894,886,707,266,927,772,
910,067,295,033,187,363,736,297,581,922,441,502,037,770,483,281,235,405,649,
505,591,866,906,268,878,059,586,671,511,883,669,719,230,032,557,064,655,462,
098,478,623,680,387,183,709,500,138,781,261,382,872,664,360,110,758,543,659,
161,891,822,876,715,269,300,682,085,749,680,921,087,905,280,084,879,560,360,
273,157,187,842,303,313,634,118,000,353,911,863,590,556,353,586,078,597,518,
390,566,567,951,682,864,559,947,903,030,099,622,598,030,274,956,382,398,740,
360,807,066,496,719,530,888,491,405,040,063,104,010,423,685,037,944,511,732,
071,137,634,224,535,276,633,125,296,512,325,837,199,411,047,954,748,923,355,
929,901,299,744,229,223,512,056,315,517,896,387,576,970,584,161,824,351,210,
813,700,340,472,222,038,586,137,467,171,211,825,331,195,015,813,865,082,005,
590,758,836,156,233,699,630,365,420,269,270,975,384,298,103,814,971,712,190,
757,390,069,699,521,992,173,368,580,040,447,001,922,547,968,559,301,636,594,
185,211,253,703,658,322,385,434,613,438,066,470,281,089,893,616,880,655,815,
185,083,928,433,230,130,060,404,459,397,922,315,802,452,172,367,778,055,055,
488,213,135,990,750,776,537,153,370,007,096,052,574,355,622,214,354,019,680,
075,624,389,782,077,241,248,675,789,088,786,088,576,447,191,905,927,241,416,
711,669,208,061,944,079,352,399,227,946,871,272,642,772,604,316,088,368,167,
685,338,011,322,974,128,901,856,412,849,314,684,427,099,358,678,423,425,124,
496,493,547,126,158,977,129,969,682,683,282,791,075,472,617,135,061,745,578,
760,359,403,331,569,867,625,871,336,298,708,083,675,804,492,274,020,840,531,
617,194,492,178,900,392,937,550,619,893,021,181,092,389,493,369,533,577,019,
232,470,318,379,108,618,386,899,429,735,346,394,710,088,883,443,255,608,102,
206,490,009,423,492,939,842,277,932,154,363,895,419,244,172,997,451,414,032,
417,893,923,653,187,521,837,746,883,097,819,959,675,910,014,609,885,783,556,
188,770,355,073,023,802,410,569,748,047,289,487,807,094,110,046,407,837,493,
882,710,014,705,956,686,039,031,028,293,646,142,268,442,957,961,517,328,213,
438,722,318,817,972,610,855,860,531,309,071,435,437,512,223,816,387,807,779,
620,594,453,312,471,747,886,210,936,378,171,394,884,752,956,659,430,895,035,
830,035,231,359,543,231,562,547,758,043,493,556,299,967,482,586,169,749,691,
017,580,115,170,181,750,878,331,876,673,605,141,411,570,219,689,364,700,110,
837,268,925,791,462,008,436,157,083,590,466,301,917,149,224,948,297,998,880,
888,911,661,052,349,399,158,535,716,610,752,928,705,446,284,504,958,481,960,
313,318,629,581,904,955,580,989,984,447,016,489,863,697,107,379,344,663,494,
942,072,558,466,257,728,780,794,346,604,910,207,611,692,308,584,438,685,252,
700,731,431,726,598,307,862,084,992,435,930,427,835,481,462,805,971,470,902,
046,006,171,236,305,813,258,828,962,434,579,260,374,495,884,948,516,890,954,
460,706,983,306,074,826,375,786,193,811,609,784,772,738,738,654,456,720,938,
761,860,247,014,561,815,513,712,401,620,941,334,262,683,590,140,019,714,128,
963,287,656,153,935,783,425,103,600,805,494,873,204,423,255,357,562,766,925,
188,119,128,028,911,659,502,719,638,936,982,869,394,991,578,825,513,115,985,
438,547,471,885,267,264,225,799,591,086,141,861,623,888,061,134,506,067,320,
130,472,686,403,573,344,630,486,725,591,706,535,028,361,906,102,879,056,465,
865,642,695,924,945,665,224,504,434,105,259,426,564,791,279,815,359,035,844,
708,475,065,041,829,897,770,505,163,988,910,221,460,933,360,645,079,377,847,
209,765,502,905,229,530,542,970,094,689,218,015,947,876,408,530,610,749,367,
416,200,164,286,178,809,334,025,331,337,637,371,702,576,438,839,866,406,511,
601,383,302,060,997,107,460,264,616,737,189,375,414,321,160,261,859,100,738,
801,508,340,575,387,013,159,230,896,475,828,680,881,282,880,024,459,070,135,
133,074,853,654,358,558,454,320,639,953,982,987,283,585,487,728,803,866,664,
354,921,337,034,823,772,952,535,747,919,016,651,679,693,929,014,360,410,507,
792,248,502,726,514,808,487,202,660,049,597,198,664,883,857,868,547,789,331,
139,450,010,511,134,087,714,853,507,748,977,383,552,833,157,406,500,657,786,
286,791,688,211,336,712,840,797,199,035,437,135,759,002,550,994,148,395,175,
837,683,663,920,342,418,945,787,068,150,363,262,933,578,203,543,283,945,117,
647,289,929,626,929,653,609,557,149,134,693,728,567,053,034,194,210,741,278,
646,007,695,351,780,944,613,217,465,186,641,748,671,008,595,426,049,075,618,
323,113,883,403,568,938,993,484,197,605,912,099,639,556,100,025,124,650,896,
584,627,193,428,527,740,643,748,900,382,802,872,115,727,430,002,474,172,201,
767,904,664,938,338,427,939,579,845,838,560,189,891,636,434,975,382,113,059,
605,609,795,629,786,599,523,096,049,537,296,311,749,302,062,817,708,052,995,
535,957,579,583,434,992,264,096,165,823,966,033,054,541,419,483,956,768,659,
122,031,616,098,647,584,553,427,079,354,163,315,571,777,909,848,769,752,720,
220,935,417,545,051,737,426,107,939,582,875,328,797,138,572,950,556,654,174,
906,341,334,457,083,909,080,149,414,010,397,791,764,312,975,354,534,268,376,
265,769,531,161,141,671,521,201,355,017,108,235,247,803,692,911,892,883,720,
550,081,928,923,060,962,865,147,951,532,687,001,957,285,092,361,298,071,781,
676,555,607,729,194,983,448,029,748,719,854,185,540,838,772,227,085,606,111,
630,006,955,826,567,711,573,622,051,272,869,694,678,889,928,005,058,923,421,
475,365,753,926,385,348,616,284,940,748,795,526,351,252,386,121,618,197,005,
219,812,444,866,887,086,494,949,760,059,518,211,349,954,981,082,517,060,626,
882,169,819,664,014,157,019,658,548,350,470,550,648,773,461,623,911,278,249,
266,043,899,048,781,565,202,706,873,074,627,019,242,952,630,246,771,501,299,
481,776,606,116,515,706,961,733,363,540,454,035,920,357,390,835,266,666,354,
281,357,338,979,499,222,881,096,035,154,131,113,506,678,682,258,037,487,062,
477,484,683,392,297,992,866,365,561,316,232,981,411,318,543,319,213,977,016,
429,201,870,571,539,068,897,713,558,076,956,338,062,597,399,596,125,675,471,
004,577,954,425,167,703,185,326,012,046,664,960,788,621,007,808,810,886,749,
382,005,293,589,247,072,400,140,050,438,746,554,189,598,647,966,491,304,904,
763,461,790,845,491,185,400,730,531,727,034,174,107,647,354,217,652,158,220,
207,979,746,358,180,231,341,216,492,003,998,027,764,029,875,089,041,334,079,
332,047,024,602,208,019,488,490,554,327,321,262,814,632,142,683,407,000,746,
099,530,163,333,048,897,883,043,151,227,113,042,611,272,145,952,095,098,656,
042,139,727,633,012,720,856,805,651,923,091,383,211,938,739,679,138,624,506,
881,018,754,456,928,331,010,819,484,175,485,287,951,860,270,232,074,183,616,
742,652,581,908,319,698,864,764,076,945,875,556,838,394,252,117,604,179,465,
667,114,336,474,682,276,687,718,988,629,774,098,425,097,049,713,593,374,763,
299,337,367,134,165,073,560,032,755,476,759,562,388,631,972,951,256,730,224,
565,883,566,228,578,185,291,789,322,433,212,301,962,135,163,961,683,412,832,
700,018,997,413,841,264,432,425,005,774,774,699,148,912,836,762,584,869,836,
629,661,149,578,533,666,983,221,332,429,383,353,919,563,579,563,800,118,620,
033,213,175,308,059,470,138,468,370,976,847,240,280,550,928,810,225,546,943,
023,736,247,169,041,959,333,549,108,407,785,826,206,744,539,334,469,607,234,
507,169,494,308,686,858,084,465,657,389,039,300,470,004,951,350,857,214,921,
024,711,720,479,570,679,241,421,336,287,467,034,990,183,846,933,592,303,600,
845,891,693,699,985,598,740,815,322,836,108,705,525,587,832,300,606,489,573,
921,440,806,618,951,434,626,874,013,088,741,804,062,244,490,707,274,691,822,
466,100,875,485,150,807,452,083,652,160,339,782,325,581,902,891,056,034,116,
481,721,796,653,639,676,501,153,260,307,622,121,087,926,008,467,804,330,296,
464,948,123,787,379,770,400,491,265,858,191,264,338,482,396,440,683,855,593,
159,771,401,911,484,435,963,096,947,866,925,609,772,637,831,777,335,014,603,
759,372,593,386,530,031,072,142,572,784,904,401,486,198,980,073,660,896,300,
284,727,048,804,505,812,885,763,360,804,853,245,038,160,154,485,600,139,800,
136,759,544,852,353,034,795,123,418,025,720,278,641,923,511,505,995,124,813,
585,404,722,630,917,845,287,530,543,915,603,840,126,468,717,898,451,222,909,
425,019,201,007,804,568,884,384,568,795,119,135,375,047,858,558,873,141,353,
282,777,587,425,136,286,851,842,600,298,094,917,014,239,589,687,596,890,630,
429,418,304,510,632,941,798,400,141,446,895,271,288,630,437,944,456,777,929,
002,285,491,028,920,462,020,749,650,540,129,443,604,083,328,088,660,199,421,
396,928,543,300,104,515,124,230,926,885,960,360,531,567,917,033,676,649,457,
001,250,810,493,878,879,970,542,641,750,377,232,759,578,661,839,571,056,327,
332,122,026,267,162,363,580,030,262,425,485,770,963,889,458,237,548,415,865,
617,523,430,668,908,301,003,452,464,099,211,127,576,116,411,395,480,149,500,
996,896,332,010,863,442,226,862,704,530,621,784,636,384,527,844,909,143,237,
306,379,748,072,891,117,098,298,536,533,907,468,779,237,504,876,524,082,878,
074,353,759,405,096,077,009,612,319,934,913,064,400,028,026,994,274,438,295,
243,009,680,590,827,660,461,461,074,541,938,644,064,110,761,165,656,248,164,
499,419,511,210,287,701,419,207,636,871,356,925,718,823,394,435,862,808,658,
397,286,208,870,279,901,837,296,827,357,957,447,167,959,166,940,836,049,443,
941,899,152,133,055,570,213,261,262,542,532,840,805,518,812,359,556,288,989,
552,238,495,447,312,916,184,375,139,497,571,894,083,541,558,011,902,142,853,
459,256,974,522,127,393,638,428,767,163,568,541,670,081,123,577,727,407,009,
691,511,481,418,409,732,707,566,812,182,323,363,745,460,961,909,248,432,393,
246,832,095,727,845,757,405,194,904,494,922,753,791,943,779,461,874,606,313,
519,213,892,472,738,888,837,739,593,334,600,934,421,727,903,249,172,202,113,
570,276,815,011,756,105,098,154,131,178,924,367,737,487,197,797,694,030,215,
409,127,679,814,064,378,026,002,444,959,050,687,273,322,731,915,182,132,534,
054,812,359,990,158,543,757,515,471,490,834,825,816,336,757,375,343,757,717,
319,134,168,278,995,688,917,971,840,988,460,479,544,097,926,557,920,787,975,
304,173,168,303,054,217,428,140,689,786,521,288,867,491,196,399,897,979,223,
575,667,098,562,889,701,543,437,832,742,622,516,347,322,792,509,490,946,503,
959,045,264,550,481,586,650,709,495,344,879,314,465,898,949,341,649,316,290,
687,278,474,251,111,268,390,369,577,870,771,811,044,483,659,762,111,156,838,
768,860,241,310,859,955,750,270,438,496,030,930,314,587,437,741,123,004,243,
435,243,908,709,307,676,775,394,644,083,894,944,143,580,118,843,006,978,902,
302,138,430,185,743,403,085,565,542,722,437,081,528,815,075,194,806,929,178,
996,227,394,997,236,203,980,549,586,064,356,890,809,428,982,230,386,709,060,
913,598,272,779,522,878,312,059,016,603,590,568,010,680,542,882,710,599,919,
169,036,428,632,291,721,310,083,425,580,492,834,038,402,348,652,601,091,838,
913,076,887,056,806,139,337,161,742,460,641,706,376,913,096,384,303,445,666,
115,902,888,180,592,253,431,932,263,043,126,977,852,137,134,464,955,810,811,
624,273,572,901,834,298,200,608,918,735,420,122,248,860,693,584,181,637,176,
295,208,331,256,396,213,658,908,774,883,398,583,560,472,080,115,120,173,333,
013,660,029,769,509,800,780,843,453,255,296,813,812,176,116,770,021,745,340,
820,597,574,837,193,660,351,044,361,359,642,114,820,692,500,974,923,622,000,
154,903,440,586,882,244,288,769,214,217,381,493,684,222,479,239,550,773,657,
351,436,904,309,601,046,090,646,936,858,241,701,461,756,224,769,293,668,693,
746,677,872,352,494,046,178,917,611,355,398,241,303,013,640,956,051,240,309,
991,794,520,579,660,330,843,864,295,061,353,500,429,472,567,271,449,568,663,
760,233,689,425,848,205,967,050,805,969,688,210,820,603,919,317,411,172,952,
437,383,354,682,713,156,821,569,696,722,223,650,152,747,678,424,482,247,723,
156,932,045,313,146,115,444,631,290,657,093,243,017,625,804,760,801,893,271,
892,181,252,077,914,811,469,047,892,779,053,921,391,253,315,024,987,628,139,
992,806,595,671,028,475,877,413,574,030,272,973,945,423,870,564,624,685,590,
345,758,991,609,832,731,653,789,908,902,872,500,290,796,714,244,579,386,113,
659,016,125,407,511,928,769,716,022,075,606,657,204,568,117,916,687,346,070,
444,169,294,378,229,351,989,162,669,119,409,212,148,650,980,348,737,977,538,
997,622,573,131,631,724,159,847,154,407,218,075,854,236,875,281,514,055,386,
356,619,591,967,980,578,595,067,018,769,104,274,257,892,863,965,869,254,204,
448,941,579,118,290,979,512,823,488,096,542,621,300,076,203,879,702,393,211,
145,264,002,249,039,176,363,656,992,030,589,536,012,246,761,618,116,062,691,
101,710,978,227,807,924,491,665,651,437,885,860,616,158,091,191,529,591,448,
776,965,525,129,783,652,582,857,380,146,493,218,268,545,180,041,872,252,511,
551,422,128,892,320,107,667,795,181,674,381,649,111,760,397,644,149,035,889,
748,479,930,798,694,527,153,567,548,903,820,699,793,605,155,668,195,053,220,
818,244,113,247,341,184,607,701,958,559,118,074,975,935,202,879,790,065,660,
459,908,307,795,241,944,600,172,994,724,420,253,922,837,676,359,652,109,210,
885,591,139,254,426,053,662,733,557,174,418,794,851,978,362,661,794,297,533,
476,272,970,364,373,219,332,955,664,124,675,849,194,203,751,393,588,178,767,
222,328,681,323,388,909,673,569,016,764,378,835,912,431,514,596,505,487,832,
769,748,965,664,500,698,676,755,445,702,110,821,404,894,120,342,082,572,767,
688,853,007,194,147,797,794,655,058,979,893,482,369,453,679,976,034,148,472,
852,446,913,739,721,308,030,223,576,173,168,495,543,255,561,314,126,131,539,
986,640,244,430,980,854,407,518,723,308,611,057,487,611,318,802,708,709,227,
011,589,990,762,523,111,326,156,443,795,786,950,988,367,897,469,212,691,587,
386,445,365,581,166,024,204,581,542,668,969,209,169,809,345,960,784,378,621,
920,237,627,255,426,465,338,667,580,899,458,432,168,691,870,013,187,168,072,
289,615,466,908,956,809,137,166,808,802,760,347,336,917,263,355,795,182,183,
711,866,012,677,987,606,245,156,697,332,673,727,895,544,730,040,531,432,344,
592,343,432,827,545,394,716,535,349,001,305,789,715,360,158,174,642,610,525,
088,702,062,814,932,171,446,661,337,021,895,717,570,551,742,811,535,000,231,
819,783,207,927,476,575,323,010,548,164,546,846,392,180,678,644,751,039,446,
584,913,193,941,578,055,273,169,157,309,200,646,202,150,953,804,831,880,701,
776,437,855,007,953,945,708,014,527,966,350,220,829,299,446,827,946,354,222,
369,143,881,604,034,643,583,235,142,500,503,211,862,358,472,168,915,636,780,
473,829,274,899,609,651,921,333,485,727,165,870,574,191,242,645,600,852,669,
665,675,383,533,952,688,637,940,945,992,805,090,496,505,241,146,024,675,683,
860,739,406,000,088,274,510,376,875,297,753,140,874,489,554,841,649,605,039,
356,380,937,206,433,944,141,698,887,051,268,612,156,479,225,396,916,496,430,
530,213,082,233,697,374,489,319,786,751,454,759,760,777,418,229,236,555,960,
381,299,378,438,903,901,185,804,371,595,729,382,650,082,830,191,004,974,721,
948,189,435,977,299,842,806,611,990,961,875,605,932,947,557,574,212,602,523,
959,123,913,336,974,157,920,325,181,204,514,343,642,832,620,796,266,424,915,
774,882,015,714,476,006,672,017,648,269,870,355,282,608,154,045,324,523,365,
211,169,989,217,402,644,794,776,836,888,119,560,701,824,445,956,692,266,691,
220,960,270,642,695,148,094,722,041,259,290,064,907,069,588,570,568,765,416,
802,687,749,276,657,500,421,706,168,475,433,198,210,778,523,043,349,487,057,
120,746,362,208,195,399,314,421,757,964,291,708,754,238,844,022,263,669,591,
386,583,136,085,999,429,817,763,625,693,574,010,052,294,208,831,243,801,425,
270,435,418,404,305,642,659,856,271,049,874,759,072,560,527,222,858,949,925,
550,822,799,196,996,804,200,245,013,157,203,004,882,786,298,025,484,298,009,
800,603,255,251,191,630,440,935,700,548,968,930,912,547,399,654,974,865,824,
504,856,889,795,402,169,167,205,279,948,358,765,876,996,359,223,495,670,454,
341,779,626,795,197,157,260,334,737,584,099,772,025,656,665,191,315,455,151,
918,543,843,277,508,125,274,782,653,899,327,904,885,976,963,475,480,963,808,
743,859,696,666,671,563,724,401,507,490,910,999,531,530,017,228,328,124,907,
303,841,573,184,213,218,811,354,468,869,949,628,697,438,723,271,881,292,206,
469,567,541,115,401,330,256,603,299,776,050,206,164,016,783,164,894,025,376,
689,624,070,173,515,422,906,001,498,649,356,267,935,401,848,565,101,311,699,
676,424,367,566,183,263,623,493,047,823,687,228,086,672,981,561,744,872,302,
843,868,815,556,383,170,148,822,752,761,870,366,128,262,628,915,706,005,404,
774,862,063,622,787,200,047,652,401,118,292,791,086,199,976,990,771,784,132,
918,090,931,074,696,386,912,351,476,461,633,658,220,829,301,392,105,638,405,
324,512,710,049,441,316,575,182,786,633,958,551,962,675,863,541,217,948,878,
995,672,615,652,783,823,166,967,758,918,054,084,379,230,987,493,266,290,506,
192,889,115,941,784,456,002,210,092,587,106,395,144,934,657,381,117,381,143,
402,602,243,577,423,343,188,660,139,596,537,692,393,569,648,450,093,586,465,
162,344,378,180,677,078,991,794,651,281,034,329,033,293,821,141,431,902,543,
735,794,488,877,439,853,641,059,347,063,346,800,347,293,838,302,108,099,948,
890,666,462,325,817,095,712,286,100,163,699,507,103,968,109,215,883,508,249,
357,004,932,015,687,681,842,026,340,811,800,081,375,357,253,699,376,886,318,
596,731,789,621,528,941,526,899,440,108,281,814,952,677,913,419,703,560,325,
456,182,415,210,798,997,050,677,376,008,943,581,510,164,633,431,717,100,543,
591,282,162,553,926,214,430,323,383,460,018,583,258,998,127,168,748,988,820,
573,690,366,539,937,661,378,056,225,628,736,728,184,754,167,689,684,325,850,
636,688,512,853,158,333,524,239,199,330,824,710,698,888,250,463,270,550,333,
223,811,660,265,168,044,420,042,810,948,483,598,673,723,936,194,106,532,135,
659,075,475,352,293,771,692,238,247,366,401,060,495,291,155,354,139,909,423,
988,538,913,803,020,035,497,126,445,499,556,555,737,541,298,977,233,330,498,
811,612,836,531,789,252,069,175,780,958,602,931,096,535,115,100,045,053,328,
971,097,921,227,556,835,325,692,911,213,624,798,297,673,876,647,453,184,266,
894,373,182,315,958,246,506,083,398,560,081,898,234,270,937,700,576,643,484,
028,211,979,739,250,194,582,647,063,110,563,446,677,310,462,872,752,759,423,
432,399,408,933,337,565,014,916,254,572,258,224,334,546,149,872,035,022,301,
679,638,669,560,062,781,421,280,639,238,398,898,717,527,924,196,061,925,162,
232,827,557,353,122,596,671,363,113,995,578,551,863,450,156,348,595,522,613,
314,723,657,778,852,361,726,544,689,085,456,600,055,616,883,828,294,495,569,
662,984,646,377,864,922,390,735,165,524,185,590,124,998,746,451,370,558,704,
899,643,859,140,563,200,656,212,269,028,514,689,583,360,898,341,470,816,962,
788,306,569,071,541,216,334,612,418,791,028,488,682,765,175,671,423,275,201,
636,410,268,253,949,429,113,542,618,707,359,521,756,491,752,821,101,777,040,
554,161,942,224,508,794,785,565,114,651,348,243,166,346,446,297,182,281,283,
610,004,385,995,198,679,538,253,872,173,344,282,378,736,311,430,211,712,485,
016,743,416,728,100,869,168,265,486,169,246,051,560,295,312,098,689,780,670,
876,766,140,153,532,716,403,572,906,685,488,849,503,129,077,369,388,819,749,
890,504,793,039,063,439,703,027,070,940,573,925,256,071,499,049,134,985,711,
648,600,714,620,378,043,791,502,951,036,966,995,868,305,652,313,274,907,438,
874,044,753,762,289,396,498,837,238,876,701,357,925,425,070,150,211,337,284,
419,438,674,409,033,607,542,546,295,713,930,011,009,683,793,327,906,656,564,
213,596,066,689,357,402,864,870,259,465,156,201,879,270,360,954,749,001,813,
270,422,630,731,801,253,620,260,617,145,521,260,772,330,822,328,209,435,824,
490,889,800,296,953,444,815,370,335,135,746,734,406,943,550,626,106,994,001,
844,972,076,775,300,490,627,308,489,377,280,669,433,473,436,292,726,403,077,
689,002,905,164,970,228,144,061,048,925,280,274,687,917,519,306,030,991,943,
415,148,467,738,611,889,657,936,347,703,969,293,524,744,452,028,536,257,833,
180,887,368,499,928,938,457,509,132,804,456,854,031,219,636,891,281,328,699,
416,418,012,467,338,257,991,833,652,775,413,105,653,298,489,777,934,054,778,
134,237,517,132,031,287,919,439,433,462,283,953,015,822,897,319,671,028,445,
524,906,081,250,493,946,426,672,552,626,926,456,759,632,137,350,171,785,367,
056,131,417,555,675,618,855,011,028,128,085,055,072,389,683,442,231,248,167,
135,908,093,535,013,590,942,553,945,493,207,266,820,182,960,969,243,441,852,
516,114,670,374,950,069,183,696,402,787,905,147,160,442,201,146,156,325,022,
277,760,661,307,282,430,060,991,426,699,635,966,787,124,104,943,618,292,556,
327,018,353,417,473,211,233,127,195,172,820,444,446,236,037,864,809,235,302,
673,265,816,875,650,557,492,479,316,761,674,349,507,602,498,753,680,806,011,
140,082,359,668,625,232,656,750,256,065,367,080,981,419,405,386,987,436,839,
501,043,829,363,438,362,388,927,422,683,996,897,136,630,172,402,232,375,490,
328,372,036,933,095,376,854,946,101,949,127,371,572,658,464,973,154,641,829,
816,718,959,523,094,395,745,667,492,094,582,051,781,313,030,238,551,564,909,
998,668,983,435,946,290,037,249,040,298,352,213,655,126,757,875,153,319,159,
530,665,699,108,197,294,290,693,640,465,968,959,781,530,494,722,498,953,937,
198,311,336,265,039,320,054,326,513,815,080,601,557,454,859,548,293,208,157,
712,249,220,992,365,855,813,094,993,032,413,700,556,968,250,295,036,835,140,
857,479,243,369,689,447,847,053,547,574,153,426,221,747,729,340,826,684,183,
333,558,867,860,207,104,724,855,197,619,041,800,317,814,299,448,903,591,671,
565,829,873,858,722,640,420,152,991,078,967,411,517,793,680,955,491,814,778,
324,831,479,338,862,679,653,648,242,936,985,223,552,132,504,436,147,136,840,
771,098,603,955,785,864,707,265,878,076,020,627,796,082,933,147,213,553,439,
376,351,815,888,056,786,410,971,082,537,994,424,215,551,862,724,888,855,388,
221,146,285,623,454,165,517,907,273,110,697,767,543,474,296,509,325,315,086,
597,308,493,580,103,974,993,868,950,752,793,907,349,519,470,657,108,258,098,
129,415,244,505,741,987,188,401,659,802,383,307,817,163,723,477,350,013,855,
473,710,666,905,639,645,820,500,259,301,165,266,893,626,093,436,281,363,306,
076,041,197,367,044,502,060,275,486,607,664,519,685,638,648,791,277,377,994,
096,951,301,062,231,963,745,213,359,006,593,605,827,575,258,230,540,573,479,
131,382,570,639,233,480,172,705,023,148,936,994,487,799,489,319,574,247,157,
387,880,307,935,684,636,313,282,643,809,017,460,762,399,802,500,302,298,586,
588,545,056,054,453,143,731,750,937,228,822,097,710,285,511,527,783,949,906,
952,634,650,922,926,438,651,706,911,007,046,362,171,365,643,718,942,623,889,
758,194,403,980,478,150,129,430,491,932,890,737,679,056,637,277,217,200,700,
126,478,442,911,356,588,357,707,337,558,285,462,140,874,110,812,932,273,403,
125,727,786,665,162,616,106,310,705,139,938,080,222,168,472,985,299,432,581,
781,631,809,678,521,953,822,789,476,916,016,586,662,616,529,462,850,396,633,
993,301,934,138,596,218,419,648,551,268,104,677,055,160,514,110,138,677,375,
179,441,998,868,921,965,372,570,485,919,527,304,701,262,514,185,481,404,720,
598,228,896,135,945,522,541,052,383,435,410,412,049,223,251,317,395,245,115,
868,913,272,343,313,050,167,229,235,789,795,188,710,215,792,461,790,511,989,
626,298,165,136,840,255,470,660,961,265,105,091,556,974,315,173,494,204,137,
653,694,731,949,132,979,152,655,281,202,902,387,452,861,142,753,816,905,191,
428,619,078,578,084,187,801,080,108,626,394,153,975,358,148,008,030,243,921,
768,290,008,938,946,993,572,176,738,144,916,067,136,637,896,338,479,848,630,
927,146,314,160,413,086,401,853,231,647,733,084,315,916,887,456,116,654,846,
696,280,589,951,786,160,789,259,338,714,239,233,072,758,203,699,076,858,085,
104,931,161,007,644,333,002,319,918,126,146,352,516,443,774,974,536,482,341,
529,758,819,030,625,875,037,477,812,609,267,839,961,796,013,329,812,850,536,
407,280,432,960,932,556,772,310,521,898,462,881,055,187,454,433,101,993,260,
730,367,457,594,478,779,350,224,131,959,269,853,202,692,095,971,764,911,117,
084,219,707,066,219,204,870,603,917,498,729,458,742,189,694,115,182,575,282,
403,786,711,943,796,216,816,770,897,652,314,577,202,896,029,509,970,486,648,
559,240,737,337,176,859,309,742,758,100,617,973,827,382,028,472,920,089,874,
636,790,518,685,616,194,096,181,093,773,140,560,883,854,010,051,666,479,078,
408,012,684,677,762,853,798,118,978,042,143,696,644,702,326,439,405,074,329,
578,408,804,382,646,529,357,723,237,522,945,815,993,935,726,530,815,305,063,
523,863,198,036,656,954,060,166,395,335,958,901,827,810,705,144,626,162,679,
493,374,761,487,107,492,643,405,248,471,964,756,918,083,325,157,770,265,157,
946,454,978,703,842,540,057,764,087,392,029,906,763,092,982,807,364,642,682,
360,447,555,969,641,576,022,598,874,743,970,803,207,521,016,699,009,658,063,
065,504,282,470,931,319,006,114,297,366,061,074,288,826,332,457,145,425,388,
987,263,276,889,190,081,215,203,591,244,216,668,660,693,642,622,962,968,284,
156,457,276,489,272,565,149,892,368,019,008,717,702,964,575,490,604,914,929,
229,205,030,843,934,468,878,552,902,821,247,905,448,057,565,359,738,437,523,
924,799,272,923,271,918,554,075,513,272,255,612,687,889,668,102,724,884,563,
712,592,954,129,604,283,199,090,924,788,155,837,094,706,638,705,260,681,250,
232,498,207,886,718,184,975,785,685,894,717,825,328,118,160,938,806,271,750,
836,179,213,416,641,121,252,996,083,816,152,126,088,975,660,738,402,799,949,
454,837,734,563,352,458,977,359,407,728,281,800,847,794,441,624,703,515,089,
129,530,275,127,650,978,963,940,345,472,425,245,133,747,967,227,544,452,382,
714,394,171,491,801,105,775,921,041,065,385,853,384,320,007,307,686,263,883,
603,672,805,516,621,221,318,177,848,944,287,435,387,376,480,353,488,764,468,
225,861,394,514,250,736,940,484,880,251,082,458,385,910,426,087,616,663,903,
858,609,842,536,750,856,996,314,684,780,311,405,858,045,106,294,824,546,882,
512,213,506,373,202,851,704,965,778,051,626,525,645,292,754,170,963,582,239,
278,075,285,039,797,101,780,634,466,735,585,865,986,608,393,681,024,465,096,
134,191,337,939,130,320,824,976,747,948,075,078,915,550,549,946,396,532,805,
589,363,620,770,994,933,078,428,230,637,346,490,518,487,449,361,595,767,355,
199,368,327,156,687,368,977,414,443,462,683,286,608,036,288,444,248,802,203,
794,581,519,019,548,259,698,853,017,861,099,091,199,214,281,094,655,242,341,
700,279,368,059,658,761,810,295,948,080,525,520,615,802,832,874,922,943,095,
685,925,502,258,107,454,623,072,940,551,962,011,837,414,541,373,823,654,674,
956,131,421,101,773,596,223,622,506,770,655,817,509,301,892,768,777,938,113,
406,681,904,229,982,431,737,300,997,266,949,409,737,419,735,059,438,093,407,
424,556,266,402,557,492,572,966,823,072,208,616,489,550,904,885,248,911,787,
216,213,251,502,652,555,906,848,090,415,584,438,643,826,184,309,005,410,874,
839,565,115,985,687,081,598,757,967,961,639,651,788,871,481,112,417,692,273,
761,461,237,228,154,487,313,238,352,804,401,156,081,733,984,218,988,137,343,
454,097,561,895,365,153,722,851,969,270,801,496,659,864,443,885,715,882,465,
660,617,891,040,122,126,095,646,607,840,927,303,178,985,799,418,258,629,295,
328,901,311,499,241,973,062,287,435,623,785,137,326,841,482,006,096,431,088,
115,841,286,561,939,882,735,592,614,855,226,172,164,129,112,063,138,269,636,
547,984,679,092,489,346,870,482,124,451,861,414,623,407,749,058,335,969,478,
551,504,366,083,367,347,382,955,884,729,635,539,795,555,893,674,464,940,560,
971,330,789,753,038,252,406,018,517,982,460,396,497,252,759,350,277,386,608,
860,596,310,042,717,391,436,068,010,092,333,178,893,430,489,647,234,236,939,
133,158,985,380,255,359,911,255,596,941,291,294,947,496,025,018,011,225,076,
010,167,943,995,629,582,046,069,301,861,727,620,306,705,714,693,922,446,370,
535,769,151,488,333,957,741,322,990,308,399,153,888,512,903,308,614,767,993,
669,495,503,731,483,061,564,954,666,984,545,497,766,786,752,620,413,796,507,
235,768,039,026,447,663,304,509,557,357,781,194,181,687,240,188,879,751,882,
631,107,267,552,772,132,846,360,537,435,173,881,668,430,596,060,009,441,262,
919,799,054,454,574,280,140,680,096,529,289,935,650,966,806,997,959,223,490,
780,437,927,413,309,241,659,570,092,478,913,314,174,345,418,182,744,295,766,
510,415,309,960,981,523,930,321,705,950,920,043,012,288,536,816,192,799,102,
489,062,180,923,143,458,065,364,911,473,423,320,256,267,519,002,103,841,668,
552,473,219,370,840,213,439,981,021,003,724,737,760,771,119,676,916,461,958,
548,479,695,887,002,944,511,535,234,506,652,625,008,488,693,746,891,223,224,
953,200,544,294,808,285,421,749,101,292,488,444,872,547,656,805,482,604,330,
205,268,201,586,074,846,182,833,716,001,282,450,855,284,305,478,249,536,287,
543,356,341,183,928,589,201,489,432,682,492,527,040,165,962,221,709,145,204,
383,136,634,290,752,420,762,012,103,700,902,427,662,549,913,695,352,235,347,
431,751,760,303,317,254,397,200,746,259,483,469,143,612,633,200,807,501,310,
799,394,484,064,477,288,053,164,871,991,324,206,614,842,112,035,929,380,812,
538,747,547,477,789,819,529,398,285,274,296,203,768,705,280,900,563,010,415,
109,099,188,415,142,033,497,502,331,576,624,508,490,670,058,883,085,688,408,
428,851,286,545,493,526,551,795,829,327,140,939,163,582,198,715,594,336,606,
868,669,902,515,399,472,071,739,084,204,626,857,643,447,978,690,666,836,508,
449,415,509,384,809,004,061,248,033,867,798,202,492,178,121,656,093,453,154,
086,606,761,165,294,927,263,511,405,919,090,544,582,290,720,622,669,994,839,
609,715,245,047,635,349,447,989,350,712,800,276,167,639,507,976,835,184,473,
256,970,839,339,424,637,955,105,558,065,780,481,368,162,131,132,016,710,635,
412,920,989,747,499,451,812,888,281,046,188,117,223,437,089,933,878,414,505,
254,084,690,905,420,520,938,814,650,111,492,506,287,125,177,093,600,038,379,
422,484,834,532,530,540,711,258,308,749,841,022,706,909,003,659,308,737,403,
562,389,234,937,415,213,504,672,605,159,383,247,219,001,805,271,181,800,644,
423,077,731,018,064,461,418,854,613,190,588,046,694,716,941,017,994,219,611,
622,714,316,028,958,622,731,832,788,956,396,466,256,180,702,305,020,384,083,
907,066,662,806,146,269,486,620,974,233,267,711,595,137,281,192,843,865,540,
043,872,900,614,622,950,527,687,941,420,607,747,200,617,266,948,756,786,520,
269,909,195,322,658,435,882,127,004,293,761,841,842,910,941,559,344,148,080,
876,679,185,715,343,381,711,093,833,369,166,212,077,230,775,304,950,560,334,
463,476,554,935,069,224,630,586,653,223,757,300,669,756,917,509,017,894,222,
065,286,571,623,034,592,944,893,716,715,685,838,305,922,290,693,253,135,488,
399,621,764,980,676,976,919,218,216,842,996,699,076,294,106,871,149,638,635,
556,651,281,627,707,959,062,809,396,433,430,107,098,370,418,195,927,173,383,
242,993,981,570,063,554,971,143,526,912,075,948,803,407,490,018,516,457,658,
944,983,380,462,025,235,680,983,099,134,361,703,812,716,661,614,679,879,858,
215,817,600,711,227,419,750,823,343,952,712,148,048,134,544,039,088,608,769,
101,857,017,256,657,050,677,125,669,267,834,587,839,115,242,743,217,454,230,
330,506,282,476,125,461,214,951,873,870,118,895,268,520,362,062,763,871,116,
147,219,086,815,663,064,958,204,645,275,016,642,418,930,198,346,377,541,283,
806,684,128,291,939,535,041,640,272,304,071,666,717,763,411,139,889,164,033,
864,775,898,944,226,156,894,454,810,553,847,988,848,789,826,170,616,085,975,
785,420,158,067,903,705,032,152,550,003,941,813,267,516,926,362,521,222,257,
495,940,055,153,381,756,864,125,836,251,946,546,431,129,091,637,869,688,005,
016,568,667,254,653,517,367,057,614,869,993,139,298,347,567,280,586,078,906,
568,672,031,451,275,912,224,692,580,758,522,281,641,491,721,703,458,278,711,
147,742,316,376,697,338,615,490,214,453,928,778,532,963,540,641,352,696,931,
475,328,872,641,949,195,935,382,949,317,531,312,595,420,265,260,703,886,171,
296,282,095,227,902,236,573,401,250,902,635,022,558,427,572,980,242,825,830,
705,650,740,104,746,933,195,891,947,596,364,188,481,126,548,908,706,176,323,
349,385,429,778,874,701,723,524,794,898,799,678,767,774,222,529,811,322,302,
615,426,990,202,214,335,052,416,821,750,782,473,416,544,440,488,730,871,767,
344,182,375,180,471,130,567,194,188,881,909,841,510,928,848,059,214,518,027,
240,127,302,831,980,370,684,955,995,653,134,462,099,504,266,309,651,458,033,
981,017,417,684,224,040,835,297,029,837,183,063,933,057,606,541,105,912,936,
538,276,550,491,775,607,370,682,226,493,493,503,254,759,011,351,654,146,651,
924,187,171,051,222,372,511,551,526,692,143,780,781,454,261,988,654,786,557,
010,031,232,156,971,165,418,995,522,169,803,672,828,823,935,903,394,703,642,
078,310,993,772,480,537,531,562,416,436,115,495,139,124,860,289,411,532,404,
936,232,491,899,252,636,000,927,084,175,199,116,957,604,881,605,314,694,511,
255,711,441,272,639,727,678,243,760,324,622,474,658,014,017,522,622,085,972,
984,543,637,103,963,900,771,427,229,299,703,715,920,388,671,963,234,973,388,
957,963,353,570,607,530,376,762,621,736,720,269,219,172,351,838,698,471,473,
991,298,145,077,787,243,747,950,225,881,460,757,335,716,743,719,419,203,786,
523,179,050,213,620,570,484,941,619,714,208,980,313,330,419,751,393,796,693,
981,538,536,437,764,315,914,778,170,782,686,708,667,614,728,496,834,944,382,
915,080,284,576,887,275,714,202,591,515,110,046,939,328,805,569,668,731,548,
096,685,123,288,455,823,133,265,490,320,003,062,740,835,962,371,537,946,784,
121,452,714,938,129,440,887,835,993,941,189,712,286,343,057,494,603,987,918,
383,689,817,303,261,861,809,129,783,426,734,025,205,432,959,660,982,733,057,
496,508,903,252,922,282,844,949,153,250,422,968,479,347,970,110,841,479,987,
201,821,627,210,219,985,360,277,076,509,675,363,756,195,221,671,738,980,019,
966,365,507,207,916,760,253,793,250,202,282,263,372,543,749,778,534,756,555,
123,142,961,940,469,023,848,035,230,903,153,857,655,612,364,464,511,720,083,
947,528,536,796,001,232,199,554,023,496,994,496,090,901,667,584,032,839,679,
020,664,161,263,947,135,423,612,834,154,840,234,996,406,242,683,076,543,142,
766,736,334,454,049,598,512,883,788,053,106,912,285,368,631,763,577,402,451,
710,671,715,101,995,388,425,575,546,456,092,425,402,489,400,410,137,747,314,
325,245,083,294,476,755,724,339,306,863,046,575,477,814,253,556,797,329,890,
857,025,653,348,473,826,149,133,478,412,641,690,392,939,663,463,459,443,343,
630,509,348,421,213,034,067,471,939,861,472,234,629,902,993,803,922,148,637,
533,607,054,061,906,560,622,600,531,618,132,245,734,069,796,205,012,500,019,
382,722,447,360,002,936,544,013,647,669,859,463,335,348,182,960,723,135,682,
774,733,613,457,579,913,770,161,375,836,093,493,435,264,130,674,373,713,210,
555,731,170,413,425,794,826,506,050,148,981,846,746,473,419,680,403,030,616,
751,600,879,453,292,215,430,136,563,940,423,699,866,708,336,625,182,745,905,
294,999,296,114,660,630,288,532,918,497,001,175,779,636,223,611,149,305,238,
573,949,132,655,073,251,549,385,255,429,452,645,572,609,644,343,392,014,147,
980,243,076,152,277,670,655,546,088,871,807,379,863,913,651,800,322,566,684,
433,556,124,872,329,444,556,327,064,228,746,830,270,328,124,102,175,950,167,
304,922,549,842,967,917,559,978,904,878,072,404,105,602,402,961,440,121,933,
635,397,765,663,812,766,040,964,668,544,052,262,965,813,142,557,559,210,714,
950,054,437,218,188,864,064,137,779,509,590,742,647,407,552,210,845,161,164,
242,969,178,933,384,320,607,975,712,089,908,708,780,468,353,648,883,285,891,
737,091,698,132,365,621,219,262,565,387,458,300,190,878,837,547,757,866,709,
709,081,241,675,808,339,241,171,286,925,941,715,394,385,922,002,805,220,219,
433,251,622,488,456,310,136,719,981,775,472,625,721,839,454,487,864,286,684,
721,946,801,372,939,201,149,059,025,839,647,859,691,192,444,077,898,670,493,
618,668,243,178,165,510,446,552,401,074,523,368,750,980,953,713,914,850,324,
397,658,909,393,472,702,437,003,042,926,043,354,696,108,466,121,545,530,466,
568,586,517,708,044,581,630,706,574,696,614,553,613,028,136,117,341,618,406,
976,694,043,317,680,935,261,206,914,180,708,623,838,013,566,082,260,597,061,
266,387,940,195,592,731,987,138,104,441,042,454,923,987,840,434,654,227,265,
824,569,040,699,279,990,930,759,606,425,846,194,840,168,156,741,279,577,865,
906,461,977,809,397,091,703,974,077,004,490,480,765,552,096,584,911,829,731,
287,899,668,094,447,943,960,654,395,665,773,383,239,507,917,434,121,619,354,
984,575,809,315,448,342,085,143,420,065,167,062,539,767,581,730,206,816,023,
108,264,532,275,625,476,014,251,377,430,291,099,720,696,484,952,532,422,408,
445,474,216,583,765,525,384,862,733,132,720,422,937,317,642,712,445,363,555,
995,960,643,000,531,470,963,703,680,626,105,261,132,654,238,144,641,053,673,
742,668,452,761,941,217,498,418,011,999,245,769,576,038,535,735,916,034,517,
899,516,313,444,137,222,639,905,519,058,595,852,068,731,732,030,624,879,917,
130,919,615,739,012,923,227,921,997,171,688,772,094,826,950,876,063,461,022,
044,183,994,247,299,877,215,248,945,197,597,709,034,633,290,196,317,915,813,
387,811,729,678,256,948,551,996,680,204,805,821,139,418,761,806,313,706,153,
540,502,209,583,592,594,903,092,681,911,570,996,119,388,269,074,725,021,626,
363,763,245,582,830,227,009,661,737,674,638,059,997,562,807,260,454,436,820,
818,948,798,460,710,041,171,979,837,939,697,982,874,442,963,728,838,532,428,
268,463,259,933,919,000,213,448,557,077,430,569,801,747,510,695,957,693,930,
691,229,049,805,847,962,460,428,894,026,759,778,754,677,966,799,254,488,774,
977,424,797,042,525,023,734,096,073,548,190,843,598,900,325,695,655,354,412,
648,753,396,738,639,203,284,158,292,796,348,734,725,930,962,488,768,628,592,
368,722,751,518,234,505,524,534,685,685,964,815,163,845,902,019,640,107,471,
710,758,756,391,901,022,826,656,414,527,893,047,215,697,034,785,392,714,086,
669,413,591,435,059,815,349,710,581,895,258,066,675,418,673,445,396,892,782,
970,561,964,099,900,087,020,754,965,376,514,508,435,929,472,643,094,886,831,
719,823,989,806,733,880,755,713,565,628,350,310,908,869,137,806,127,013,768,
284,607,997,740,037,891,482,368,510,295,227,029,221,767,928,965,445,601,157,
091,425,233,005,079,839,476,974,337,779,831,633,138,827,917,749,010,120,514,
876,563,531,951,310,737,738,128,086,042,474,597,485,331,402,100,501,780,028,
270,467,580,615,573,866,127,569,961,422,767,484,022,272,388,071,145,364,216,
683,828,076,402,525,495,605,493,202,142,569,376,296,047,614,273,258,872,304,
720,776,275,978,651,190,726,407,022,943,199,403,903,454,852,654,124,795,568,
402,767,655,584,563,703,532,388,406,820,894,905,427,226,530,678,001,068,808,
839,087,864,036,237,252,064,515,090,143,873,850,750,491,930,658,215,472,770,
799,806,114,629,641,216,562,556,609,845,387,840,213,180,315,997,124,695,398,
808,474,822,803,471,813,504,296,723,514,078,231,786,316,641,369,713,606,666,
897,481,080,708,353,920,491,042,195,476,571,332,602,366,666,279,983,910,452,
433,280,277,698,728,299,206,627,720,927,940,207,114,732,255,820,088,142,244,
936,795,195,607,948,405,771,394,926,993,794,739,961,650,024,593,514,689,562,
111,943,413,989,058,602,462,013,996,839,455,922,401,152,076,040,939,381,395,
704,646,029,196,924,681,874,175,496,218,936,617,355,795,063,897,659,190,180,
443,379,909,488,625,267,293,161,050,127,234,854,181,555,550,543,040,993,584,
775,637,168,789,335,362,156,954,493,182,191,912,244,998,189,167,557,060,439,
994,831,697,698,739,841,450,853,709,399,593,803,258,079,486,468,219,154,830,
160,992,235,484,813,896,080,388,752,987,090,170,531,361,141,038,959,962,847,
517,899,618,445,170,700,764,080,555,543,241,654,314,657,048,317,978,360,568,
839,134,214,485,557,528,570,995,824,067,971,193,647,427,100,480,972,091,521,
093,439,892,036,252,179,509,447,005,647,430,486,928,123,061,346,866,779,272,
234,582,982,004,765,012,900,776,121,745,384,441,525,003,839,696,691,551,157,
565,958,238,815,722,491,084,434,949,507,700,956,620,318,290,379,211,649,155,
002,305,051,497,278,224,570,132,127,005,336,171,339,114,093,486,616,083,457,
934,293,143,408,880,684,821,510,670,988,003,059,296,052,322,796,998,392,093,
018,285,745,973,946,447,443,497,369,025,587,923,261,231,214,291,570,638,948,
286,450,084,627,615,538,289,776,033,921,164,973,655,416,546,410,400,924,438,
160,302,337,529,846,185,718,507,998,485,772,186,021,455,180,887,059,903,700,
561,272,955,852,526,480,860,072,715,563,787,744,716,508,801,914,561,377,338,
894,452,064,487,762,322,730,924,760,241,687,090,520,747,680,045,018,265,800,
584,158,806,542,996,249,772,294,331,209,849,990,761,371,354,936,076,589,184,
973,421,539,306,447,067,081,540,731,435,405,532,304,927,313,305,762,037,614,
643,507,462,352,341,562,825,076,663,146,597,875,414,718,988,572,379,873,025,
731,619,830,281,720,640,229,655,946,895,439,174,725,396,734,470,257,565,812,
531,047,827,407,807,291,099,913,829,634,124,943,658,873,240,090,743,104,093,
736,361,097,680,534,255,671,121,925,473,749,213,626,215,948,458,010,884,449,
431,687,057,601,820,995,881,402,511,808,176,334,418,050,456,416,311,327,331,
190,093,421,347,387,399,741,135,758,295,886,023,545,592,943,423,808,379,466,
514,720,138,935,556,983,429,059,964,571,524,718,304,676,255,607,268,601,237,
592,981,281,082,544,383,536,610,696,273,400,550,571,473,366,504,356,504,063,
191,217,830,575,011,391,939,197,481,998,959,865,892,922,278,771,183,339,807,
924,873,580,625,570,970,050,923,718,677,200,493,760,180,915,065,189,823,838,
099,303,137,201,459,143,981,855,897,734,791,320,071,959,826,290,533,762,939,
395,809,421,154,445,663,057,021,329,489,596,338,336,834,451,094,779,010,277,
192,963,157,206,038,275,306,972,942,292,508,390,850,610,496,169,896,115,629,
059,594,861,396,417,055,324,854,701,401,627,045,560,817,806,108,783,938,788,
876,183,682,107,952,883,873,654,736,050,863,281,696,563,761,681,939,693,244,
552,475,819,655,843,363,447,824,271,078,365,344,774,192,520,822,822,026,228,
416,957,924,841,845,321,333,645,169,999,468,744,332,785,733,868,956,604,273,
736,241,059,594,060,237,030,481,782,520,935,036,929,797,254,376,734,749,252,
652,826,844,312,424,088,104,763,709,118,740,123,860,283,107,493,492,844,337,
003,197,849,692,029,622,813,449,369,078,196,767,975,736,473,393,205,983,064,
629,942,105,138,813,455,190,965,775,039,441,752,246,979,689,250,376,504,707,
202,334,846,849,700,455,391,874,020,853,665,543,026,468,833,806,558,303,380,
953,331,333,723,100,553,257,249,441,951,361,861,852,962,563,171,558,933,680,
395,727,654,238,434,189,288,430,108,888,267,459,130,273,271,533,141,451,996,
132,162,724,925,245,874,020,785,635,161,800,348,869,394,458,188,438,510,705,
345,875,271,177,891,108,461,542,058,334,220,389,361,561,522,317,315,163,405,
246,805,516,168,380,283,640,264,038,197,338,397,600,318,031,113,896,049,797,
614,953,584,957,703,649,572,427,185,244,303,992,315,737,940,507,918,061,786,
054,520,944,648,519,740,354,211,188,222,013,134,243,832,402,922,998,403,738,
710,651,512,501,109,975,026,049,922,567,256,429,636,785,459,546,136,836,283,
730,405,684,471,946,655,417,886,121,605,695,579,731,474,673,570,734,364,634,
445,809,013,467,473,402,203,048,970,582,366,483,833,462,445,200,416,338,499,
288,489,577,421,883,973,570,578,772,366,975,055,908,359,211,279,088,517,802,
246,660,819,043,143,376,536,568,407,061,041,950,048,627,585,896,473,659,355,
087,821,467,103,043,410,291,518,411,454,402,130,035,948,147,217,915,037,769,
377,533,885,086,369,658,906,488,853,115,291,661,436,745,112,414,860,853,818,
276,735,202,567,823,176,229,884,291,403,129,247,935,338,125,660,387,034,506,
553,000,126,957,915,438,470,845,756,570,626,173,509,899,183,420,705,576,997,
617,308,130,343,817,400,624,510,893,328,815,031,617,374,999,334,522,704,073,
549,837,837,622,752,753,669,929,686,628,935,574,103,547,067,381,668,383,140,
069,781,700,189,748,251,751,314,376,632,594,893,663,553,778,503,690,546,379,
670,845,804,118,989,764,067,615,339,933,412,424,855,174,341,891,936,281,940,
956,653,386,912,734,807,251,607,688,568,708,927,970,925,168,603,579,583,976,
729,907,982,849,618,897,379,225,741,114,149,858,573,995,006,693,804,652,805,
743,206,691,622,698,949,034,820,606,029,100,576,375,655,955,851,637,034,298,
207,088,666,916,942,724,726,123,195,286,897,818,241,073,488,281,927,862,604,
634,941,042,823,566,521,871,923,038,113,000,573,758,939,587,995,506,920,249,
839,495,275,755,956,323,131,208,344,278,135,967,664,719,597,607,820,626,804,
839,628,120,133,318,395,487,270,411,019,129,355,501,763,045,616,458,461,303,
469,442,464,424,393,838,738,371,381,490,280,998,457,418,206,283,302,438,184,
148,025,996,916,713,238,995,970,355,320,432,411,924,678,983,672,860,387,818,
057,770,932,322,902,550,140,704,739,833,545,381,094,860,019,494,538,643,194,
334,530,269,690,783,132,761,100,541,594,086,495,131,514,522,165,884,332,648,
443,196,616,245,684,459,583,808,956,351,788,941,041,225,494,734,282,185,389,
940,322,157,450,769,171,810,398,179,421,615,582,232,661,976,755,714,892,794,
230,644,075,691,512,057,080,699,862,729,061,114,172,638,961,697,980,569,426,
676,050,536,427,038,802,534,202,970,194,534,762,874,131,821,278,790,410,186,
547,120,054,886,886,935,627,603,669,425,369,675,456,973,036,494,357,077,190,
622,966,756,536,645,961,040,099,690,681,938,609,321,143,300,614,131,395,263,
160,270,317,848,901,398,661,820,498,053,703,071,298,027,867,972,630,891,737,
980,864,352,544,240,375,486,032,409,272,286,848,832,116,294,556,015,664,841,
192,597,721,172,153,227,685,497,739,945,650,977,663,429,983,210,169,207,483,
135,244,999,556,812,136,426,678,916,206,153,297,041,159,632,749,325,217,794,
347,553,481,331,495,616,990,781,821,760,459,777,263,684,268,740,488,324,410,
140,732,210,219,186,690,747,964,951,508,543,945,038,446,263,334,188,671,678,
350,670,841,200,876,127,453,667,017,642,012,198,886,073,347,457,621,952,796,
515,376,966,616,075,207,601,810,443,354,647,843,240,878,432,222,652,848,643,
098,237,811,212,418,339,541,416,686,385,526,688,819,165,349,792,742,531,673,
364,119,524,550,286,327,350,825,628,021,758,707,202,295,489,244,359,385,689,
893,341,229,698,031,475,900,146,523,359,025,624,534,293,243,748,901,495,613,
450,958,081,087,344,100,900,109,117,273,494,007,854,844,146,355,754,365,600,
156,480,616,538,997,885,188,350,535,737,708,499,573,883,765,408,369,063,950,
519,335,927,475,313,620,788,808,782,852,431,442,474,403,612,714,724,214,485,
692,435,757,005,417,973,045,212,859,442,438,015,412,187,682,844,709,509,970,
837,529,599,262,463,204,955,739,045,418,737,560,853,071,458,621,808,325,635,
270,455,630,618,402,320,680,827,246,249,996,848,951,750,544,762,950,502,366,
496,199,654,188,835,690,435,141,726,221,249,678,639,394,969,697,843,353,054,
316,230,580,205,793,038,598,305,464,402,746,363,313,892,674,274,545,645,850,
459,867,565,567,032,057,957,043,365,527,363,847,442,512,072,569,180,931,609,
498,667,521,696,941,821,773,162,620,770,871,350,229,658,030,884,483,841,253,
404,216,442,800,954,378,487,992,381,304,325,046,559,166,063,369,548,944,429,
534,850,814,358,368,294,202,376,747,193,330,653,467,483,356,426,111,622,460,
328,774,139,167,164,905,928,146,984,063,867,538,377,067,607,153,536,844,720,
183,737,242,852,249,213,996,323,542,169,162,074,993,510,677,987,003,512,833,
835,138,221,015,523,401,666,642,155,171,462,896,885,422,531,187,666,347,668,
168,274,386,220,917,284,169,913,603,764,588,763,709,927,881,646,751,681,426,
101,715,318,853,177,156,974,736,167,978,815,195,890,110,650,106,188,207,266,
806,403,282,197,288,214,065,041,189,594,393,195,396,665,458,411,545,317,788,
426,050,088,669,244,994,057,171,844,197,072,364,884,720,373,999,361,285,717,
012,943,206,054,856,848,879,334,464,114,852,201,469,577,442,210,198,183,878,
285,209,895,666,923,382,319,011,879,129,099,433,718,936,443,531,131,567,399,
117,061,966,989,332,152,797,775,970,333,519,009,718,566,709,215,733,019,426,
453,686,634,092,506,792,614,960,263,949,691,589,802,359,775,210,502,612,421,
494,107,364,912,740,326,286,277,413,239,101,059,288,691,567,937,686,455,573,
757,530,336,507,611,260,383,435,272,914,989,698,876,396,063,552,969,612,655,
150,783,984,806,679,344,505,331,788,352,588,525,044,457,615,320,853,356,271,
479,169,143,163,928,537,879,665,057,256,132,128,606,087,319,859,751,080,670,
139,742,372,414,052,910,573,685,008,938,661,084,699,413,833,498,435,005,564,
954,569,534,867,142,460,727,266,532,977,021,273,541,006,779,509,675,669,103,
791,778,717,050,539,480,429,166,367,530,181,276,618,810,224,545,343,998,534,
798,826,638,583,012,816,987,663,870,167,548,106,596,747,262,561,542,804,413,
506,074,717,266,679,534,001,211,750,106,100,415,124,973,227,284,975,461,736,
759,687,259,696,536,102,376,820,813,214,359,641,880,403,214,074,166,988,845,
323,300,885,178,965,924,534,431,551,473,943,078,322,775,108,418,997,385,017,
497,730,167,743,211,069,031,567,348,353,409,048,604,726,590,331,034,678,624,
671,416,403,192,777,818,530,449,032,912,854,963,083,603,351,675,595,319,108,
853,421,463,795,535,150,516,806,036,186,129,944,059,979,321,510,784,757,673,
991,214,766,485,023,617,977,818,837,466,923,304,871,761,030,690,506,195,421,
093,908,274,649,271,516,266,590,629,870,806,608,129,404,502,333,722,936,817,
352,300,337,677,810,801,276,493,331,463,358,600,249,681,430,871,509,650,861,
620,033,413,860,154,908,038,492,654,449,349,147,344,703,205,150,045,568,374,
748,965,297,814,875,742,648,524,288,708,519,154,624,866,470,545,713,187,500,
922,816,423,676,915,323,858,111,429,406,197,079,913,836,623,938,498,501,573,
007,047,338,410,084,788,425,724,385,421,957,458,050,742,949,250,406,594,702,
759,331,467,348,466,946,802,585,811,668,508,878,201,848,786,129,560,855,293,
318,083,145,647,614,073,825,993,775,762,462,002,188,496,912,754,796,630,404,
971,568,030,282,394,221,849,285,151,237,930,842,292,081,382,046,443,965,657,
434,771,759,915,663,471,974,725,841,972,958,543,192,158,161,669,496,823,043,
416,836,245,348,948,377,098,309,880,517,946,407,506,473,554,645,948,993,801,
647,864,835,514,912,912,250,482,705,181,148,231,310,204,809,356,003,802,674,
496,440,905,437,630,794,252,890,089,785,581,932,768,671,175,721,698,115,861,
079,027,162,441,792,889,460,808,200,345,320,136,525,015,912,754,717,596,671,
749,103,727,854,281,993,325,500,262,998,051,133,112,305,798,097,380,292,280,
161,980,752,235,607,380,077,139,238,565,903,984,685,599,317,481,190,664,594,
656,482,064,051,240,269,960,763,294,673,642,584,322,098,577,744,888,186,769,
406,172,226,254,561,149,667,906,350,004,591,206,251,073,944,561,951,340,339,
355,956,137,745,007,918,816,415,870,785,930,782,649,766,857,840,078,932,297,
265,336,361,328,910,604,276,645,760,167,677,770,113,299,566,902,014,598,305,
885,330,977,865,492,427,506,054,471,222,763,470,253,872,214,470,097,667,502,
424,887,776,979,910,819,747,314,515,059,587,818,231,461,043,288,914,854,790,
822,035,142,259,769,653,171,314,792,408,517,835,001,159,861,405,739,131,581,
192,582,549,455,861,317,444,396,995,371,640,916,738,560,367,591,173,544,355,
522,733,157,189,231,480,304,858,512,144,468,252,685,990,743,076,381,626,866,
798,417,445,468,185,207,170,239,302,023,517,701,632,174,314,426,716,113,507,
112,097,163,416,710,124,836,725,711,604,261,303,672,111,843,376,269,141,492,
817,101,442,670,705,982,447,561,041,419,277,952,232,034,506,177,396,577,409,
108,469,391,291,409,494,956,932,134,009,752,877,796,941,724,218,290,786,495,
037,375,248,775,139,971,520,603,446,332,673,642,104,713,125,348,574,359,034,
608,727,276,919,347,710,520,294,595,508,093,005,253,289,298,507,081,216,287,
163,981,844,407,100,021,022,764,285,385,583,297,321,828,677,987,874,782,029,
579,527,826,901,039,426,129,103,269,018,267,059,162,099,131,326,953,579,789,
717,570,912,397,072,428,731,489,330,024,425,893,925,588,053,385,666,305,174,
995,658,731,775,064,301,331,855,493,711,504,610,350,914,620,804,486,571,525,
786,302,572,303,958,349,002,286,493,546,459,253,777,565,644,217,656,004,860,
876,038,114,723,292,013,470,554,783,094,211,051,325,662,817,505,682,045,108,
704,298,039,581,162,172,850,463,150,525,827,566,023,542,123,809,984,206,184,
721,154,648,905,214,093,999,189,871,383,926,928,329,491,367,421,680,699,094,
406,762,377,538,156,367,325,879,260,991,695,463,502,158,564,646,572,655,916,
915,633,342,141,276,291,799,845,060,986,955,852,422,678,129,434,968,339,288,
595,574,237,425,413,374,178,791,596,555,838,159,577,607,086,215,051,467,409,
556,133,124,558,770,525,568,429,590,723,713,171,779,082,996,084,819,396,549,
928,648,811,782,875,449,484,769,695,616,933,436,973,590,615,485,251,085,788,
584,871,050,273,069,674,415,575,197,132,827,512,262,369,638,260,215,203,628,
584,695,278,934,677,114,989,596,249,425,535,679,724,014,230,398,492,007,521,
297,510,331,450,459,707,410,167,191,498,687,733,411,180,258,030,779,818,972,
850,605,837,100,113,367,517,972,114,524,328,096,608,552,610,360,752,154,631,
482,700,004,123,688,067,477,207,017,129,535,359,723,286,365,520,063,833,678,
527,792,638,410,149,190,206,603,430,420,637,259,523,226,983,934,876,626,903,
656,355,886,720,664,502,852,579,360,999,537,369,588,654,577,991,597,693,292,
708,522,197,213,301,311,381,915,070,647,885,504,148,861,871,594,649,345,006,
193,750,002,170,333,454,984,878,565,386,482,693,367,728,727,407,283,542,595,
394,491,647,120,728,255,959,381,446,332,192,350,328,216,409,234,515,545,763,
737,369,574,698,469,417,434,403,812,916,181,070,057,047,671,326,006,793,770,
478,287,956,187,479,669,191,768,944,730,564,404,368,560,484,204,850,172,615,
688,245,199,055,725,492,267,497,366,001,008,069,880,933,667,775,554,491,501,
293,953,749,352,069,605,284,230,605,687,373,487,190,201,886,982,336,847,848,
428,012,648,159,297,667,122,475,854,346,560,176,794,292,351,513,139,688,390,
576,918,424,047,715,267,734,550,784,982,756,020,026,629,145,357,214,651,895,
955,066,490,694,313,460,742,205,544,731,579,370,897,373,887,929,909,953,032,
453,230,688,396,298,065,944,757,690,865,153,349,566,738,870,559,547,209,993,
970,425,062,845,996,446,440,879,347,722,804,552,068,930,140,449,386,653,673,
760,405,355,440,052,854,065,015,150,761,642,442,558,160,840,206,218,186,619,
982,703,218,563,452,994,117,076,424,784,602,343,290,735,232,794,734,901,204,
366,264,118,413,392,812,978,553,284,129,601,871,016,198,228,860,650,174,704,
234,973,888,299,481,163,519,457,153,643,493,275,652,397,412,521,196,994,111,
330,046,298,887,912,240,523,724,391,093,229,996,178,748,664,699,617,522,982,
272,715,151,265,199,781,803,738,316,999,906,196,155,947,397,965,926,974,867,
377,755,273,919,837,565,079,725,033,666,675,438,121,854,394,288,189,323,217,
803,604,977,337,321,049,158,803,682,480,166,954,894,092,320,147,885,593,321,
297,795,749,120,032,841,323,123,437,168,836,847,062,807,720,252,680,112,543,
128,786,553,789,871,540,270,648,745,405,928,873,859,753,959,954,769,833,420,
539,107,272,894,903,080,219,541,300,427,071,691,592,512,748,085,670,432,578,
840,655,883,878,169,476,055,609,607,031,049,588,822,415,753,666,059,460,891,
094,265,251,378,484,414,953,683,166,922,525,402,685,775,901,921,203,254,451,
518,768,634,116,780,089,365,137,986,664,960,582,183,190,605,771,476,121,126,
672,176,692,659,496,801,620,164,634,181,074,932,858,990,281,008,045,782,285,
018,235,856,569,809,988,655,944,628,916,922,944,563,481,361,600,927,603,248,
953,021,037,565,105,117,914,455,362,632,759,174,202,153,673,201,568,865,550,
886,918,318,580,826,751,192,059,972,557,441,562,952,971,541,259,263,681,980,
896,716,128,526,091,972,929,553,438,070,022,878,977,169,433,211,537,361,950,
094,579,700,337,452,242,135,614,357,518,804,422,132,214,836,587,888,859,665,
869,719,022,033,947,794,107,895,136,206,237,101,826,631,908,094,046,105,835,
292,459,714,931,727,781,118,518,034,173,514,278,181,415,843,794,137,865,319,
431,337,709,208,099,323,876,383,810,100,592,773,799,001,738,214,778,272,996,
587,459,319,880,382,196,628,704,143,990,206,550,598,188,426,775,692,545,935,
231,119,402,982,834,633,239,069,732,437,978,044,557,133,375,860,831,072,164,
632,133,388,784,309,585,606,125,149,342,897,949,760,622,887,788,738,898,410,
998,093,746,644,537,821,582,013,673,890,757,842,458,028,385,279,335,267,090,
928,696,871,957,815,638,544,602,373,100,165,774,070,171,674,787,788,592,253,
608,703,619,710,741,162,837,504,925,513,176,794,998,332,037,748,535,414,549,
123,693,559,622,947,663,281,443,132,379,972,228,728,306,314,142,065,794,821,
791,018,514,533,315,025,715,587,048,621,237,009,470,816,418,331,397,243,992,
655,370,499,097,791,781,247,239,018,415,175,647,404,680,782,738,007,532,003,
215,901,077,225,730,989,830,548,462,640,985,975,429,563,533,377,251,333,422,
949,045,598,014,520,950,135,240,103,689,610,007,054,878,790,060,123,211,970,
875,563,280,188,821,935,496,199,061,924,050,730,991,205,548,156,214,204,124,
198,025,914,302,890,810,857,167,804,300,768,461,305,957,873,748,699,047,131,
688,515,275,004,132,910,268,416,838,927,414,541,618,492,247,056,649,312,421,
899,973,895,935,218,261,772,800,112,715,132,539,430,009,618,701,683,625,687,
613,460,306,487,417,276,725,840,832,134,049,410,271,015,125,225,897,429,440,
967,152,530,416,205,982,677,597,255,184,620,023,876,007,932,068,914,628,362,
007,544,999,597,030,336,431,631,786,355,366,596,181,948,735,552,164,431,922,
975,592,639,064,492,370,805,203,157,450,959,907,468,542,134,994,420,714,674,
026,945,446,617,312,774,191,551,884,812,615,142,932,969,730,861,089,584,097,
874,050,712,542,623,320,718,125,747,072,924,537,462,645,614,030,635,085,846,
398,406,394,648,623,873,112,846,158,525,075,605,606,208,532,772,091,517,203,
669,051,388,773,637,399,360,381,303,300,710,366,461,862,296,627,275,252,242,
902,972,122,381,495,349,710,408,637,288,534,701,884,398,755,090,451,464,625,
219,826,103,013,419,583,058,220,642,040,069,000,714,748,544,244,956,442,978,
351,936,365,191,206,077,495,989,234,225,048,870,467,028,533,780,512,548,375,
367,475,200,490,990,357,011,352,643,036,465,819,976,052,778,396,752,302,765,
711,321,070,209,228,005,174,557,822,882,980,857,043,345,559,975,043,513,391,
785,113,882,796,056,228,295,689,565,398,044,167,540,315,854,423,015,093,085,
283,911,876,098,160,496,313,549,188,053,533,582,438,668,079,985,515,377,693,
117,009,837,120,879,522,758,790,239,262,786,913,168,824,625,194,653,399,938,
993,226,088,791,289,231,343,028,799,182,019,199,895,241,590,330,144,158,372,
185,965,726,726,635,923,665,435,496,019,608,137,452,046,591,303,503,188,326,
728,370,668,089,564,450,466,771,988,368,405,826,299,449,451,526,407,860,871,
714,864,369,465,635,911,169,295,978,302,004,151,531,951,371,039,311,173,883,
339,976,128,239,226,139,153,183,921,240,268,551,821,161,897,436,277,973,967,
693,230,551,947,311,422,651,210,113,120,184,486,665,287,150,057,592,154,969,
372,282,146,405,864,236,777,350,005,534,065,276,557,837,807,546,250,930,628,
437,720,753,274,774,511,675,355,803,798,065,529,253,013,939,411,319,313,732,
044,097,856,210,577,446,520,930,622,632,400,612,320,417,963,338,620,235,679,
964,967,559,827,990,375,147,394,626,286,386,541,164,874,811,477,753,393,684,
808,248,394,259,531,451,945,447,176,514,975,542,465,720,827,314,279,722,916,
610,017,087,460,811,625,405,785,876,091,093,324,047,979,475,663,243,553,347,
900,273,153,594,735,914,760,328,460,809,937,474,065,015,132,806,380,381,290,
089,281,671,463,833,734,602,043,463,951,803,612,560,322,942,764,646,272,391,
697,855,067,508,550,393,526,070,817,997,312,884,761,063,921,645,309,977,600,
442,663,031,987,533,911,860,262,123,507,839,273,330,398,989,939,768,839,491,
810,374,559,692,693,938,172,008,952,528,418,367,794,211,938,318,199,315,390,
991,852,164,514,522,739,001,982,722,687,032,679,618,796,747,678,148,598,736,
470,304,970,670,007,597,559,847,874,645,344,796,607,672,981,381,604,121,810,
643,958,072,900,347,438,908,846,366,295,651,857,610,305,790,204,293,982,348,
682,035,481,432,636,049,734,772,155,509,263,713,683,320,179,915,564,127,694,
604,714,233,444,241,681,213,162,250,654,181,755,640,238,309,444,152,776,281,
920,073,293,642,635,347,482,878,109,449,880,748,550,201,727,526,374,275,001,
745,456,535,962,241,928,070,312,473,317,190,670,866,979,196,483,304,442,657,
661,656,164,053,540,936,313,816,998,356,623,489,362,174,096,518,671,151,066,
402,050,136,097,091,257,831,063,188,025,095,977,614,122,510,009,016,930,299,
110,205,555,113,974,203,113,329,383,239,259,697,657,929,472,449,038,038,519,
432,672,997,026,884,937,245,028,700,686,192,659,543,132,023,840,115,592,604,
825,685,897,051,826,842,124,798,562,756,346,358,925,009,978,481,895,927,391,
390,671,404,509,628,160,414,133,441,976,822,995,641,353,060,731,615,689,707,
751,267,153,994,927,041,505,104,075,409,727,328,806,103,085,783,449,272,193,
951,346,806,624,776,544,557,528,203,906,723,968,625,723,044,246,449,831,450,
813,523,399,157,029,613,029,161,257,135,812,859,029,645,285,491,453,942,002,
686,888,614,476,324,864,227,211,278,505,005,212,531,639,438,468,956,724,165,
527,506,929,566,532,068,725,644,706,210,884,798,066,607,469,375,662,372,333,
019,709,453,831,014,652,608,393,367,612,145,379,733,400,368,557,552,651,054,
301,988,497,441,268,307,408,664,990,073,608,017,983,065,590,434,837,063,616,
974,711,145,279,324,009,879,272,264,668,391,596,685,282,041,676,166,431,877,
388,970,981,687,940,786,851,897,749,273,381,332,958,806,891,798,769,423,553,
456,489,891,801,489,902,784,255,141,041,554,238,355,619,875,667,563,569,240,
663,808,481,569,415,615,830,333,953,553,218,428,271,350,484,306,716,697,319,
750,621,399,140,147,141,503,246,633,121,194,313,776,611,850,504,198,552,259,
998,038,373,716,281,041,395,282,755,290,941,133,045,027,789,209,099,928,961,
516,065,756,099,159,021,902,690,874,018,406,602,542,270,994,722,565,297,567,
120,818,581,167,290,240,251,978,927,156,107,338,045,948,296,975,244,614,697,
548,849,625,581,460,137,839,602,513,392,971,676,756,109,234,846,350,993,839,
486,471,101,244,942,840,193,972,782,534,796,518,810,749,742,243,919,987,583,
720,164,814,556,927,524,057,421,527,674,508,260,110,670,209,603,733,630,248,
852,570,450,619,507,797,737,161,367,337,615,229,044,823,819,785,020,305,482,
007,411,596,996,257,340,007,243,475,714,593,421,298,896,703,658,723,692,774,
643,136,913,007,773,481,038,643,604,005,528,275,458,041,982,770,880,783,838,
956,128,503,428,247,972,380,782,636,923,160,710,243,026,909,133,103,515,302,
780,707,284,895,073,076,945,606,404,597,682,407,592,325,734,440,972,884,139,
706,794,139,030,826,961,594,486,875,710,393,105,685,131,908,183,462,960,800,
291,805,511,807,632,411,290,783,814,901,694,118,979,304,138,002,718,183,393,
802,385,557,955,892,371,185,035,630,755,803,273,869,533,896,216,352,198,017,
711,841,642,158,853,950,702,773,905,566,454,131,654,933,694,895,562,372,262,
302,261,453,894,383,289,065,044,755,951,117,456,905,404,512,210,352,899,957,
035,383,416,735,157,857,316,371,004,453,865,365,876,995,529,204,385,031,072,
991,514,367,615,297,114,879,049,118,322,548,571,666,723,599,139,232,578,960,
396,796,342,255,234,068,184,612,667,290,449,663,319,890,156,432,597,722,954,
305,372,758,144,423,571,076,948,086,236,836,505,143,756,168,749,297,057,415,
790,103,941,793,716,178,943,263,753,913,953,260,235,892,119,053,949,380,186,
477,475,053,429,687,672,869,736,492,097,034,981,515,366,352,279,832,793,650,
509,245,756,176,493,356,293,721,095,926,076,130,527,917,571,867,974,545,804,
246,481,259,844,552,126,370,468,767,241,599,046,476,204,815,268,360,231,729,
388,532,391,522,897,022,080,341,945,057,706,633,807,674,672,324,142,472,872,
587,399,918,675,193,110,940,314,789,902,041,036,226,374,921,950,839,031,205,
528,883,678,044,231,382,271,962,977,190,166,654,005,097,810,387,373,784,378,
741,302,293,481,822,276,593,335,225,818,731,698,729,491,128,097,489,210,928,
765,463,070,099,675,833,173,763,621,928,055,513,628,660,746,895,051,748,731,
616,695,570,993,035,065,218,885,997,908,900,611,848,682,429,172,414,047,830,
298,664,432,684,795,929,972,579,516,134,759,669,925,713,857,865,774,037,679,
757,821,350,675,245,373,480,954,351,727,223,030,405,763,856,447,833,715,720,
284,816,176,103,460,109,759,845,852,713,683,514,761,913,028,203,239,075,680,
949,885,326,860,025,118,426,242,289,777,812,248,153,094,990,122,732,268,902,
590,372,096,320,579,654,829,954,647,684,096,865,057,660,213,613,963,892,384,
107,641,838,173,409,175,230,519,763,554,579,763,461,190,408,908,157,819,821,
556,595,740,067,591,242,901,868,887,251,007,945,913,521,720,615,066,925,975,
510,595,121,243,321,737,917,963,189,992,974,559,044,210,991,600,042,242,770,
324,215,694,962,866,829,451,575,094,278,851,390,244,982,494,817,543,954,129,
126,804,648,255,555,091,182,712,222,232,391,099,004,808,712,888,453,865,007,
515,568,041,140,451,417,747,591,985,066,427,869,761,978,072,081,547,447,433,
328,209,419,937,713,819,630,175,578,101,377,413,058,126,257,750,839,388,596,
226,287,865,865,925,463,380,070,306,006,158,033,180,979,905,415,842,814,952,
261,427,208,025,135,954,741,041,274,349,698,823,296,146,774,174,696,996,712,
961,066,692,834,185,372,641,992,341,889,016,394,490,028,759,368,767,889,900,
933,448,483,296,560,709,419,290,456,304,237,500,551,218,109,366,882,596,814,
346,585,534,810,465,807,472,134,350,590,335,855,624,075,142,976,837,036,880,
229,119,160,778,658,262,185,932,404,712,414,419,700,806,318,828,668,760,383,
602,898,642,934,234,920,888,770,278,708,369,993,272,117,965,814,388,369,942,
800,415,313,345,394,840,982,328,340,640,780,727,736,266,231,239,580,850,546,
922,297,657,548,729,074,141,438,642,779,626,249,528,436,833,803,515,050,171,
538,716,047,034,712,039,050,484,091,493,503,015,901,253,117,926,075,489,830,
172,623,265,197,873,395,663,672,681,047,007,478,258,573,945,396,758,193,523,
769,905,468,030,894,794,298,684,398,568,975,587,066,194,589,971,304,106,308,
097,598,040,382,539,709,668,278,651,530,853,132,279,472,663,342,969,093,400,
376,789,154,159,717,110,668,317,799,929,004,103,704,175,721,697,506,692,225,
686,797,719,951,263,172,067,780,848,480,833,498,062,076,172,175,511,589,623,
199,293,729,229,463,198,926,755,874,286,111,729,554,494,123,245,233,871,607,
834,556,368,030,634,443,096,651,008,254,595,519,917,911,958,536,978,498,038,
636,564,115,785,431,761,420,856,587,644,491,875,724,890,853,598,988,376,003,
290,238,544,830,477,922,886,316,789,701,705,577,552,315,825,912,039,406,361,
663,369,405,334,155,782,238,559,166,277,583,851,965,516,845,465,359,967,073,
466,224,998,879,008,761,492,892,866,100,984,951,513,065,751,472,824,997,752,
202,141,277,159,127,190,833,913,966,263,415,312,260,807,019,537,683,306,253,
893,253,592,248,374,906,135,674,193,600,600,888,397,891,059,758,065,615,747,
406,634,927,898,515,567,519,375,687,162,776,689,937,003,101,910,791,509,507,
721,481,374,966,801,876,871,946,867,550,558,268,800,321,062,201,994,299,981,
882,703,232,473,881,707,850,992,958,338,210,197,351,512,483,002,158,395,901,
431,809,889,784,733,373,323,314,180,141,506,477,199,524,748,707,968,520,639,
115,049,156,739,303,382,332,570,590,501,642,419,417,889,829,104,330,060,805,
116,454,635,486,829,560,140,700,564,858,134,525,813,553,698,801,930,880,266,
867,073,931,968,625,358,030,985,537,547,587,434,120,329,156,000,886,842,029,
604,322,840,554,573,963,809,472,987,467,329,075,918,059,538,457,081,031,876,
378,607,353,520,379,164,949,822,281,674,275,696,892,357,854,562,497,094,887,
456,493,949,075,795,306,876,016,403,499,728,819,981,361,353,654,473,773,101,
729,866,669,172,871,471,577,656,763,582,254,185,474,176,676,023,459,117,338,
419,387,065,293,173,851,121,642,817,660,676,971,501,850,164,269,800,235,067,
465,679,019,198,531,360,025,547,109,796,758,978,184,284,759,560,504,303,089,
928,610,290,837,299,558,066,258,348,639,135,518,280,112,348,303,558,740,440,
932,190,006,475,542,181,185,848,852,721,182,344,081,725,355,162,815,033,935,
647,660,839,489,408,874,850,735,862,544,361,651,550,814,410,725,219,557,866,
808,467,709,298,224,168,676,614,671,110,097,256,230,780,135,459,111,878,497,
190,981,386,108,778,493,089,331,378,940,694,878,505,241,941,908,344,108,699,
167,230,063,645,535,094,672,256,549,735,317,332,136,155,881,777,065,608,487,
591,355,716,646,365,793,106,866,086,261,868,394,186,098,648,946,613,381,658,
918,414,786,481,959,517,966,445,927,679,046,116,598,821,321,185,582,112,855,
176,445,424,815,385,878,133,616,228,621,026,598,804,942,723,231,233,202,941,
698,221,772,468,235,317,148,308,873,703,254,108,215,806,339,740,219,506,739,
575,759,111,391,815,622,498,946,289,185,826,731,510,925,205,939,601,517,075,
363,433,398,275,073,979,984,684,494,445,936,939,027,988,515,587,704,520,599,
040,243,078,632,390,705,265,665,791,293,850,597,673,024,224,966,673,939,284,
048,470,841,213,094,095,153,464,689,909,883,724,638,500,254,843,114,806,369,
076,457,886,870,647,667,715,145,894,252,488,092,534,632,692,454,930,792,597,
194,961,680,234,756,472,189,738,640,285,876,642,233,152,113,032,099,462,774,
066,336,669,968,466,057,523,460,108,118,776,584,657,547,480,576,802,698,260,
927,856,621,278,744,922,288,549,308,027,455,847,836,539,441,396,542,049,865,
280,482,634,234,644,138,244,249,972,065,264,147,489,560,453,258,792,880,440,
623,361,939,885,708,256,823,257,119,367,557,973,502,680,312,817,465,355,694,
161,343,320,183,961,752,046,404,241,178,998,979,265,054,188,279,075,489,537,
504,415,540,767,775,914,197,189,007,824,816,871,713,021,169,378,746,145,438,
135,818,986,206,213,721,578,068,746,041,851,849,951,918,502,727,231,839,613,
418,454,936,409,443,601,749,245,433,191,623,649,360,094,239,584,541,906,520,
369,147,120,281,165,037,477,459,076,645,213,755,703,229,801,205,377,381,049,
608,389,532,993,465,462,177,543,845,604,509,906,418,549,031,183,409,160,040,
329,612,889,924,253,743,224,780,809,340,276,982,253,322,651,144,874,192,859,
385,189,242,479,366,737,019,538,586,691,418,392,054,430,736,235,640,276,619,
801,118,184,523,123,200,990,591,420,877,512,456,003,557,551,239,466,388,181,
019,439,380,499,511,199,801,995,972,099,065,564,089,960,638,321,630,535,609,
746,390,476,239,281,256,390,248,545,160,107,145,780,136,337,592,367,382,691,
057,828,999,700,983,700,569,134,556,770,076,924,560,873,169,166,155,494,919,
960,801,702,326,876,282,661,593,432,805,443,784,577,271,177,293,387,150,897,
218,262,521,867,849,590,336,330,684,449,215,399,834,780,571,725,149,760,010,
793,206,289,650,170,717,250,956,065,501,206,165,973,408,353,452,575,433,229,
222,762,805,257,623,095,271,436,223,409,348,944,728,052,229,528,297,244,645,
510,632,151,071,131,152,777,664,732,294,891,349,998,845,799,826,378,952,452,
399,108,215,423,973,351,442,701,918,986,651,304,502,781,227,149,028,259,586,
557,279,846,835,180,084,319,972,747,412,475,178,925,326,140,894,926,954,640,
401,107,985,525,559,105,709,985,554,346,333,545,876,007,958,542,070,467,130,
267,477,936,262,842,571,152,626,786,493,756,012,602,627,040,159,725,604,450,
767,989,870,229,448,043,974,307,724,039,111,145,480,385,013,712,929,349,775,
722,330,456,549,993,429,382,687,078,598,753,643,245,672,703,760,518,859,046,
980,725,288,110,742,257,638,031,813,123,011,970,056,882,430,313,783,450,296,
905,807,194,124,323,597,540,101,409,785,020,524,865,228,968,667,758,733,965,
173,818,681,680,954,988,576,809,372,898,347,820,464,159,182,741,371,868,326,
095,633,614,267,778,786,092,524,725,106,720,818,650,377,463,547,122,779,572,
074,876,415,304,638,369,485,369,578,520,724,076,492,455,686,854,988,293,369,
143,984,598,661,109,863,355,621,000,224,820,613,348,161,017,299,629,845,723,
084,100,516,386,584,197,740,356,267,962,850,951,660,557,245,620,507,233,665,
956,353,880,949,761,244,360,341,895,717,037,080,513,145,592,303,052,353,052,
513,109,087,328,895,402,261,112,308,243,673,415,426,232,776,665,227,876,815,
635,570,462,876,649,541,769,680,272,473,728,879,340,410,788,136,803,108,227,
718,384,826,986,910,051,414,804,221,839,664,234,322,622,977,835,140,726,266,
263,654,808,120,423,171,859,591,087,897,946,357,237,420,197,581,338,477,130,
761,142,289,066,247,984,745,490,379,448,789,255,826,199,141,303,299,332,339,
183,696,244,755,978,308,688,536,254,892,775,056,145,423,206,783,055,448,145,
584,789,547,378,937,143,200,661,264,504,368,483,979,701,598,680,820,466,936,
703,196,475,005,359,445,029,775,127,655,882,223,665,094,015,581,624,715,265,
636,798,568,797,079,769,412,926,874,484,504,378,079,459,753,809,147,418,822,
324,744,065,780,491,019,787,402,171,475,010,356,549,635,593,230,435,254,582,
333,076,578,826,151,285,100,152,281,991,068,782,381,424,111,483,201,294,233,
339,276,653,286,074,698,127,084,558,333,547,822,853,266,422,907,940,302,932,
408,380,845,493,523,400,960,917,181,504,979,439,085,414,324,429,052,530,953,
985,889,766,620,543,702,187,449,407,579,334,272,416,051,815,851,857,634,271,
048,300,882,002,258,589,350,915,898,745,731,897,817,104,249,357,853,149,619,
070,837,204,207,374,572,991,505,363,331,244,740,197,242,504,049,929,191,100,
563,273,035,116,016,932,853,402,798,072,227,568,125,100,231,103,843,366,712,
197,011,271,833,907,945,996,190,956,754,979,681,361,055,326,930,468,006,670,
745,674,903,794,440,256,923,855,513,510,661,669,697,587,244,281,825,920,776,
682,815,907,159,829,164,779,493,161,286,938,135,667,249,070,558,053,280,008,
184,543,036,894,006,022,262,915,771,850,412,467,181,565,600,656,068,635,907,
852,598,382,266,267,746,579,613,987,070,814,002,742,126,605,477,608,924,730,
161,283,883,781,298,391,533,098,146,655,115,400,308,746,079,925,167,523,842,
209,391,103,101,290,816,984,418,557,074,238,107,742,802,947,687,547,196,474,
869,300,875,570,968,190,454,271,300,830,866,612,488,422,106,491,218,574,035,
171,976,754,430,934,583,024,152,177,950,425,127,144,035,388,623,107,558,182,
496,423,316,790,527,362,915,002,747,231,780,382,548,398,803,027,835,154,354,
820,206,551,853,392,784,376,599,923,483,230,833,559,019,173,126,404,654,565,
933,095,569,349,750,016,083,363,321,679,841,024,843,689,838,437,191,533,882,
398,247,173,155,325,765,134,526,977,341,888,953,804,893,975,490,079,052,551,
358,937,651,566,155,428,884,175,363,564,517,211,853,009,968,641,314,016,320,
993,003,253,863,902,748,344,458,162,758,769,389,031,386,625,020,352,628,446,
464,497,246,073,185,000,888,642,697,399,344,182,282,706,471,304,483,576,508,
758,592,254,764,847,017,624,440,846,790,067,385,799,699,044,510,805,399,656,
092,503,172,695,811,696,307,258,740,129,551,860,908,423,753,526,848,002,645,
905,318,010,718,429,633,842,963,005,485,245,499,394,062,680,919,535,586,526,
409,451,073,742,791,358,745,118,983,770,098,323,244,770,502,744,966,349,647,
155,370,662,930,830,395,544,185,716,161,380,961,899,535,365,426,176,693,759,
030,625,499,552,725,457,659,543,381,438,780,409,161,500,758,335,659,473,156,
290,491,749,269,745,258,023,339,311,055,318,218,116,721,742,185,441,052,891,
018,814,407,965,501,471,860,153,836,349,229,357,673,737,589,129,401,076,798,
805,680,524,426,180,674,949,496,337,609,398,607,571,410,965,793,276,396,153,
300,768,446,668,056,925,227,677,226,872,522,865,099,812,267,289,553,384,265,
656,636,109,033,927,432,859,239,855,832,092,708,321,772,431,208,379,282,558,
352,715,441,089,647,156,745,326,897,027,285,083,029,737,530,096,656,600,274,
098,696,989,515,876,122,244,346,113,371,231,338,890,501,372,208,911,685,928,
439,750,941,553,042,596,837,065,020,051,658,463,079,151,247,045,978,445,810,
122,993,374,007,391,686,980,295,226,533,846,745,346,686,859,692,141,773,482,
703,456,573,006,541,033,808,020,719,415,212,273,570,934,872,039,641,847,474,
608,830,200,045,026,046,001,888,317,437,745,238,582,963,112,443,023,254,747,
892,558,723,755,944,333,075,558,138,410,479,160,298,006,765,042,841,329,806,
839,029,059,809,348,686,061,581,463,524,829,734,431,845,645,901,818,349,663,
036,120,469,852,482,290,294,978,154,733,556,454,397,450,547,223,491,795,615,
869,140,494,424,464,399,121,939,703,943,937,299,423,529,517,477,811,646,463,
289,860,340,187,199,247,444,646,518,747,526,558,497,495,106,758,713,581,817,
725,519,100,473,966,016,587,802,826,657,660,656,756,502,685,399,368,929,336,
400,619,074,604,287,870,694,133,518,264,973,437,521,137,194,279,564,592,566,
104,704,783,505,839,391,701,257,628,588,064,303,917,763,981,659,318,932,532,
643,956,301,182,107,801,878,978,062,831,704,739,453,358,177,823,699,174,195,
050,802,722,426,475,758,584,567,145,738,829,361,342,115,017,351,979,786,676,
214,454,851,499,233,206,607,325,454,441,219,135,259,570,296,051,307,615,851,
450,747,309,062,335,411,093,530,982,852,332,699,331,534,756,294,258,714,096,
813,059,829,658,426,016,874,141,349,226,431,939,271,368,667,783,435,008,422,
732,525,007,417,924,649,952,301,609,824,355,100,652,876,336,661,439,539,513,
121,267,745,609,958,887,899,708,249,069,465,847,102,153,277,586,854,963,886,
720,700,633,201,236,822,127,244,695,631,147,488,385,901,724,952,663,973,043,
226,962,471,085,144,868,378,612,156,133,878,808,929,203,227,795,537,535,932,
459,882,788,384,448,151,795,160,622,380,416,408,253,719,198,826,301,336,146,
204,758,235,599,730,351,213,412,428,849,924,656,740,334,344,483,456,343,965,
715,097,449,297,837,079,273,855,030,289,497,890,926,687,974,795,256,235,108,
427,745,438,427,626,389,564,888,526,817,755,513,450,831,368,135,921,721,011,
118,836,329,886,386,679,284,050,902,744,016,260,446,600,874,509,734,528,526,
638,686,823,843,051,115,593,069,038,103,431,206,727,192,340,680,591,528,844,
089,511,756,793,689,104,632,095,117,983,963,705,048,346,763,217,864,998,724,
778,311,338,480,485,450,689,664,860,362,457,459,144,328,143,826,554,290,281,
393,915,098,908,362,295,278,088,971,589,889,737,032,098,602,981,286,128,877,
375,649,775,864,980,543,188,060,529,943,861,928,829,141,569,709,073,555,145,
817,877,032,982,775,741,568,832,047,973,963,993,142,382,675,179,410,256,510,
226,284,939,250,671,291,424,999,609,038,761,685,663,164,449,901,007,518,509,
658,369,547,931,720,160,666,749,689,562,821,705,295,936,961,770,481,219,952,
908,637,089,996,797,268,185,816,225,085,563,196,753,077,043,892,467,532,541,
183,868,959,014,214,651,073,439,501,652,629,121,249,162,773,864,974,761,722,
658,905,716,138,092,466,253,372,862,008,817,789,147,448,897,980,857,893,626,
362,757,215,318,335,349,385,974,680,128,560,686,971,952,637,145,125,958,823,
161,846,885,536,840,714,664,854,652,834,501,887,089,342,100,440,553,248,723,
809,643,470,333,279,590,732,801,057,939,240,379,356,370,138,498,753,850,684,
648,709,843,777,123,276,763,791,240,795,760,325,157,559,874,503,959,965,583,
282,465,119,170,508,557,043,574,412,049,656,318,867,201,670,791,747,479,626,
482,406,670,766,842,511,958,415,118,146,206,112,852,449,063,904,781,777,073,
444,725,719,722,906,976,460,171,446,647,775,395,797,895,094,567,704,979,654,
680,047,635,334,401,471,120,531,485,031,804,215,307,512,571,598,236,407,287,
693,062,341,392,525,428,373,871,156,577,140,591,239,934,910,885,849,599,620,
811,146,311,239,342,712,230,958,298,765,804,934,684,357,659,046,982,591,321,
093,988,302,462,928,438,989,357,065,084,346,903,454,977,539,709,953,261,057,
998,758,469,095,954,799,934,688,190,720,310,620,630,746,469,017,451,017,534,
588,300,918,363,763,670,791,631,240,291,847,238,795,294,132,443,269,553,039,
139,639,311,301,319,929,593,361,399,343,837,398,823,818,912,357,785,420,096,
554,878,908,075,637,105,146,635,572,611,048,896,814,884,655,457,704,638,488,
387,363,461,900,592,642,434,840,104,653,419,717,876,491,680,440,248,086,751,
292,993,890,477,689,217,495,556,412,955,801,408,474,719,440,578,171,541,667,
172,831,623,652,598,412,791,115,823,827,243,278,493,281,184,264,541,697,466,
039,134,924,059,997,920,304,061,124,564,698,943,221,950,075,277,695,817,813,
941,837,554,665,922,000,212,906,443,680,801,074,579,534,157,277,670,741,624,
769,165,195,886,889,811,978,999,299,040,445,855,316,603,913,453,845,899,803,
895,396,216,004,718,351,209,249,313,635,299,974,654,292,790,765,564,588,512,
909,814,939,700,053,900,877,943,117,240,313,856,245,776,889,530,067,684,393,
854,218,051,575,984,993,743,633,871,671,323,489,839,146,834,850,755,772,037,
712,703,922,839,615,050,868,554,432,635,582,451,148,640,940,226,718,953,419,
814,538,756,331,839,130,793,978,783,640,035,377,576,221,937,667,813,282,112,
797,889,803,663,463,824,320,962,074,703,571,312,787,108,922,749,074,569,360,
701,619,961,494,448,922,468,637,444,053,232,164,775,054,121,902,288,916,198,
108,214,698,778,066,555,558,855,713,945,556,759,459,390,485,977,164,966,128,
096,933,011,522,889,154,398,417,602,458,706,993,726,429,811,930,707,782,448,
255,287,807,514,861,454,535,379,202,537,530,290,362,276,047,868,833,204,108,
339,004,215,846,005,466,002,911,151,895,806,859,294,631,790,279,034,304,166,
110,055,089,017,955,228,398,981,717,134,674,192,850,227,847,508,977,565,592,
883,340,933,556,786,755,453,001,619,402,831,447,489,538,342,636,111,019,915,
744,508,748,627,985,151,393,861,342,765,607,890,478,808,844,401,048,242,874,
988,753,270,742,879,410,399,279,689,597,138,948,677,210,082,730,915,061,271,
481,897,337,691,654,093,578,122,896,227,894,403,289,991,059,694,286,360,068,
159,343,884,494,339,704,361,949,900,283,259,300,770,306,610,596,059,828,697,
129,355,558,351,209,956,254,628,780,942,378,272,005,471,437,158,079,396,894,
017,127,249,869,137,019,352,001,968,495,247,446,934,591,140,447,161,171,384,
133,021,703,906,383,217,992,658,638,309,313,718,993,116,628,984,865,522,840,
870,716,561,186,003,842,151,263,853,970,654,740,067,764,553,121,820,883,136,
585,320,184,635,214,087,256,987,234,439,716,678,915,808,030,729,835,821,713,
785,755,573,245,229,268,805,663,656,390,571,460,813,316,205,277,971,171,533,
452,258,414,449,016,801,996,905,695,082,318,603,474,413,164,956,758,940,995,
804,010,549,787,873,721,530,673,745,668,104,492,610,594,106,275,935,825,870,
244,183,116,694,967,550,443,421,755,631,697,680,788,773,372,180,722,073,998,
016,364,034,635,251,279,562,838,293,908,276,136,893,732,198,708,386,412,284,
532,722,696,947,463,458,712,562,335,941,211,570,260,112,210,228,913,125,934,
680,596,046,590,625,978,296,248,871,114,814,526,971,740,247,998,496,244,470,
605,167,137,470,116,570,199,267,818,308,143,222,033,664,400,802,766,339,491,
471,065,483,879,926,005,155,679,827,274,849,677,600,643,793,213,940,156,061,
048,758,175,202,871,618,204,049,137,769,393,024,034,819,017,599,859,279,679,
583,054,583,514,639,234,536,578,786,349,413,474,690,502,385,317,701,631,935,
247,974,677,010,253,501,030,349,476,075,199,758,366,207,578,100,532,779,627,
150,749,193,690,284,360,834,274,365,187,411,634,301,279,429,927,900,993,443,
582,094,618,836,479,141,791,781,733,671,203,269,484,924,219,397,582,627,575,
311,638,541,021,611,678,180,521,902,824,354,594,865,436,558,186,561,666,334,
409,726,994,921,983,737,586,057,448,293,772,799,835,995,262,094,961,882,047,
015,142,565,897,007,134,672,335,979,683,866,128,482,206,375,821,931,093,228,
028,958,015,483,505,374,186,546,585,221,411,474,145,420,866,345,124,930,603,
004,119,261,158,204,237,382,624,218,353,964,170,568,310,653,630,929,327,452,
263,289,909,421,584,768,901,625,422,707,155,621,551,801,925,362,569,805,411,
665,314,590,026,672,179,531,512,830,348,908,309,814,177,383,668,925,776,320,
165,371,653,272,937,759,810,750,228,354,833,557,600,640,539,095,941,130,487,
682,665,430,559,932,578,487,111,195,910,409,502,084,293,891,726,596,608,723,
444,462,357,374,455,307,871,773,091,633,016,075,027,051,504,489,192,162,303,
274,700,880,981,268,916,803,387,266,313,063,083,593,570,615,885,354,827,054,
044,593,345,120,829,861,450,843,512,079,445,592,146,503,651,276,854,027,464,
186,812,597,075,215,695,998,417,934,729,445,043,964,135,609,981,471,245,095,
077,653,015,680,674,395,634,973,680,619,278,987,993,572,129,336,691,725,623,
417,116,266,409,527,067,006,293,593,770,825,564,497,264,150,784,600,567,573,
434,434,331,626,594,138,232,826,953,011,696,515,583,243,800,245,163,358,348,
117,900,993,360,590,788,841,586,181,935,678,439,822,561,882,928,605,217,583,
458,519,732,556,537,472,556,041,615,945,532,904,469,551,681,428,045,542,021,
143,933,497,021,270,232,028,426,624,968,142,777,476,153,695,631,945,463,452,
570,141,883,719,689,760,435,021,856,847,352,218,338,780,662,268,919,070,074,
067,724,508,988,972,998,781,014,707,575,127,075,013,705,184,012,366,701,284,
227,800,144,339,095,541,101,340,007,541,904,659,615,392,537,557,799,049,798,
996,322,515,685,556,481,569,903,949,913,750,213,337,756,830,974,511,491,882,
479,593,880,503,879,304,590,771,317,456,244,313,488,246,540,244,398,410,590,
720,075,400,649,926,477,382,639,801,407,932,334,676,705,091,323,917,125,622,
292,984,348,596,017,124,642,749,276,086,642,933,735,645,534,662,374,305,224,
227,605,999,895,363,628,539,899,551,103,281,721,531,877,674,759,898,538,782,
664,753,290,175,018,615,746,728,864,466,142,815,076,911,455,608,563,972,459,
296,235,158,958,747,065,069,182,537,918,029,716,489,014,246,661,624,927,719,
621,990,348,588,069,498,543,392,765,862,055,866,000,049,449,235,022,683,704,
110,315,626,324,432,622,630,286,775,836,750,483,465,051,121,669,957,729,234,
349,293,703,243,691,130,401,407,097,722,777,519,855,527,884,349,339,180,964,
545,130,778,533,910,978,123,102,596,302,056,202,972,227,697,494,688,295,037,
525,816,206,589,180,957,426,392,824,608,620,380,605,263,473,813,983,825,772,
463,941,501,722,735,970,540,463,035,376,472,618,443,848,125,373,295,610,284,
427,480,392,632,920,073,223,793,995,486,410,644,388,021,998,579,520,547,421,
399,618,501,445,682,093,422,782,680,733,466,152,331,057,551,187,223,226,170,
065,689,441,606,656,700,067,156,285,151,424,643,291,674,473,790,595,663,126,
205,541,928,223,561,386,309,225,710,111,155,100,754,359,654,085,620,728,567,
990,518,366,696,224,595,482,226,485,351,059,609,097,559,366,086,795,138,950,
931,595,590,388,796,752,400,034,466,128,087,163,357,439,611,040,485,327,521,
878,633,154,499,083,608,465,510,499,512,352,533,355,563,367,530,366,791,293,
403,897,869,705,521,153,596,701,594,670,947,752,927,769,166,976,542,255,024,
214,290,482,757,996,446,011,684,499,014,374,201,869,953,416,504,486,400,699,
944,359,026,697,093,699,164,809,695,900,616,570,809,938,568,011,084,790,253,
421,979,094,696,168,235,754,572,847,097,464,939,708,431,029,187,577,686,787,
204,910,653,332,162,947,796,108,960,206,209,274,819,579,400,656,539,975,414,
539,757,407,413,818,793,547,331,028,612,046,636,642,671,203,155,846,648,029,
435,479,681,373,725,441,122,953,595,250,914,013,980,888,689,309,388,950,013,
638,715,349,590,470,411,964,886,753,350,998,241,544,066,183,803,131,251,591,
066,735,709,031,003,739,725,170,706,187,682,162,207,169,056,717,067,016,756,
731,120,477,119,404,089,625,775,478,120,842,844,290,982,066,164,307,358,126,
320,346,575,729,333,398,958,590,266,994,997,500,774,274,665,679,148,580,898,
943,180,699,828,285,154,997,370,653,564,662,404,601,184,242,963,734,150,408,
280,708,577,960,708,307,659,844,699,669,944,899,864,542,362,731,990,971,915,
825,383,594,403,101,387,036,062,859,833,142,837,539,318,196,168,838,751,237,
884,094,456,142,664,051,129,130,223,269,259,346,140,031,662,579,846,707,757,
550,743,870,436,329,729,235,526,718,787,547,006,909,265,927,292,618,717,520,
852,100,229,296,539,618,528,189,106,944,583,274,595,238,177,764,903,045,424,
901,121,945,307,211,874,340,731,207,680,944,937,315,198,480,168,829,145,543,
490,513,405,253,640,004,330,946,185,194,552,827,316,359,686,459,938,664,827,
352,600,279,882,209,361,798,738,662,467,439,211,183,332,383,746,248,211,486,
908,542,641,729,030,814,048,830,119,643,783,178,815,383,410,843,614,578,045,
094,421,057,914,428,345,488,963,081,109,316,887,819,584,427,541,086,160,489,
635,966,106,693,473,508,875,237,710,641,778,960,986,460,366,217,764,907,169,
939,307,323,924,085,431,452,466,058,198,528,731,222,148,358,573,108,618,812,
078,816,426,720,915,332,985,067,203,667,524,997,806,067,465,422,669,117,725,
623,749,975,390,133,624,906,204,855,606,468,709,930,945,200,453,030,351,703,
527,990,610,734,467,085,158,680,991,436,943,202,103,868,267,494,863,005,709,
418,201,909,797,790,459,585,756,625,036,428,147,750,992,743,244,751,555,194,
886,949,532,599,771,486,479,166,571,391,132,967,952,501,107,562,036,662,802,
998,913,856,497,486,650,599,167,874,283,037,185,715,413,906,237,920,762,899,
969,114,316,821,728,009,767,832,351,017,020,962,454,844,412,769,741,040,563,
157,054,702,202,659,497,953,553,395,470,611,235,320,212,053,706,917,532,861,
937,303,207,128,987,157,257,886,109,083,451,271,956,805,492,203,683,065,764,
746,972,784,697,191,054,232,261,483,463,799,028,376,384,402,861,883,427,789,
079,631,426,951,295,371,585,943,163,170,551,474,585,074,448,337,801,981,733,
862,142,560,527,241,612,683,350,389,534,771,475,745,734,088,503,926,303,605,
503,813,360,707,910,585,305,984,325,970,436,007,903,599,330,233,828,093,306,
316,441,018,895,043,883,120,605,352,414,720,485,669,779,024,258,287,556,415,
515,127,330,917,404,575,885,346,838,664,103,017,518,264,638,938,948,400,262,
415,618,569,586,590,488,837,089,049,846,750,496,836,355,343,735,680,261,534,
020,702,664,678,513,418,494,823,452,168,394,138,239,064,149,522,952,495,193,
196,539,129,280,880,279,122,675,194,248,986,302,512,378,788,307,205,860,092,
710,942,575,044,249,835,245,512,680,305,787,937,422,321,895,899,785,878,538,
920,150,517,147,596,681,193,100,563,042,278,197,569,080,910,756,674,396,461,
803,208,820,612,064,800,026,181,612,875,692,144,805,016,091,900,588,804,275,
083,047,204,382,083,911,679,069,792,521,488,340,716,334,393,709,018,104,742,
039,133,643,986,619,219,885,020,478,687,251,089,003,381,773,335,597,860,324,
909,583,264,147,938,294,623,579,912,456,000,543,361,682,974,036,880,036,935,
739,108,038,288,649,185,386,283,361,629,323,761,329,145,936,399,644,190,892,
495,610,040,783,922,492,263,540,264,617,506,164,234,714,332,346,469,005,405,
311,399,563,044,460,584,233,848,076,974,212,633,610,806,274,446,920,792,819,
030,211,517,242,560,970,588,573,152,775,808,832,308,107,746,296,707,014,357,
778,640,087,808,320,093,958,455,603,972,711,596,520,585,939,437,232,696,950,
952,874,467,726,406,769,172,640,223,422,553,477,787,981,026,625,368,125,875,
308,537,167,910,057,764,270,624,516,670,525,744,068,043,152,574,004,226,472,
726,117,873,280,988,734,933,017,431,662,223,666,866,283,976,033,657,547,390,
171,993,667,485,260,480,505,985,330,527,544,063,023,849,728,772,771,805,965,
804,504,332,963,542,790,827,286,180,232,273,516,287,858,387,842,382,079,076,
251,898,557,729,662,496,444,508,632,800,436,929,599,581,562,224,577,580,249,
269,258,577,512,764,396,315,759,087,202,045,858,752,666,666,910,932,448,838,
518,337,464,983,379,886,092,638,526,947,004,502,417,622,337,399,592,107,597,
990,343,600,551,633,341,356,541,035,906,718,103,635,448,815,968,870,989,398,
169,405,940,877,373,226,754,292,655,206,339,657,162,791,371,596,470,089,306,
499,379,295,072,200,750,713,749,024,546,137,704,943,927,327,720,358,348,251,
787,359,764,884,250,654,984,976,490,853,605,330,061,648,452,294,017,790,470,
822,548,388,127,759,884,078,604,529,873,138,486,954,733,526,603,637,276,629,
622,763,717,212,997,627,392,286,881,359,516,447,222,436,400,711,760,625,749,
009,431,834,657,943,238,735,958,338,073,792,532,076,181,315,788,159,551,488,
712,447,816,572,016,599,890,114,309,552,786,296,301,989,587,732,838,894,452,
719,665,838,097,480,676,232,645,405,680,737,088,994,385,823,931,413,150,105,
051,662,925,203,914,253,618,248,512,034,340,390,050,299,887,222,102,680,489,
081,057,061,973,408,453,693,461,659,654,201,421,218,086,771,651,856,328,539,
521,375,478,980,350,284,591,680,851,668,872,239,031,522,935,331,860,297,286,
274,323,245,085,390,875,717,317,896,160,814,493,742,791,906,207,260,353,565,
472,106,404,657,934,889,514,529,491,318,049,654,993,411,148,409,310,912,911,
093,712,426,510,491,883,305,694,979,434,683,279,771,224,533,645,701,367,356,
131,978,074,490,965,092,170,785,278,960,570,847,249,279,445,409,763,108,494,
697,185,744,574,824,049,350,188,570,768,468,527,581,522,420,915,902,967,677,
467,240,383,617,067,469,582,404,077,010,582,699,232,416,117,874,983,175,555,
719,692,493,414,537,418,493,242,048,883,186,679,723,531,492,228,944,241,768,
045,823,456,331,347,570,817,527,367,649,124,598,360,847,906,180,933,287,899,
547,363,564,551,754,233,724,249,204,543,516,247,091,520,159,717,056,280,526,
792,793,548,914,573,784,713,737,301,035,552,048,394,129,966,481,636,423,067,
036,470,308,038,346,596,921,195,847,338,966,496,456,414,011,332,461,699,146,
055,188,850,764,382,094,461,403,661,051,203,200,791,092,058,808,750,270,709,
148,785,172,760,322,073,263,797,764,734,706,523,761,246,008,317,461,603,733,
520,188,739,996,286,111,905,658,100,824,320,392,315,775,056,033,559,329,071,
393,027,564,407,475,637,523,712,778,824,998,547,894,115,618,491,513,716,126,
991,330,365,972,086,205,841,601,696,100,495,192,229,059,672,385,986,388,703,
900,639,591,200,766,180,097,941,059,325,609,867,172,265,386,388,289,697,030,
733,431,600,188,082,854,993,417,309,939,497,645,441,724,018,787,479,309,258,
283,634,305,796,915,229,194,759,337,071,362,804,611,028,646,925,548,096,677,
044,303,136,739,436,256,520,864,851,052,329,505,725,770,643,232,133,806,717,
601,372,396,446,453,058,673,621,586,319,581,532,457,110,681,733,081,351,243,
011,333,986,871,165,320,870,386,240,794,294,147,813,949,523,447,122,326,583,
022,190,030,494,052,084,484,519,870,534,524,060,770,307,004,835,788,743,823,
773,579,853,080,940,370,515,028,612,849,332,555,374,583,626,268,032,351,352,
336,859,324,463,609,624,719,090,759,777,532,896,991,721,961,260,856,226,694,
809,627,561,286,313,684,970,512,104,814,322,672,400,185,417,780,956,289,448,
436,244,093,815,554,811,305,193,982,171,402,016,964,182,341,814,199,849,280,
979,140,137,327,036,713,946,744,294,166,544,013,491,884,263,689,763,762,464,
093,510,683,272,020,187,859,408,264,155,512,961,261,653,258,123,791,251,613,
920,215,402,524,660,857,093,884,962,322,342,484,838,576,665,002,928,865,223,
489,118,155,995,810,431,092,323,095,932,353,000,690,584,220,415,712,126,210,
884,703,273,503,049,497,437,903,437,940,676,467,438,226,946,124,263,878,453,
611,998,423,454,746,358,804,050,405,018,576,512,176,712,576,992,629,323,080,
485,402,523,076,362,778,504,358,948,373,266,039,243,985,382,462,211,774,278,
478,164,088,589,453,441,043,970,844,486,315,307,345,150,420,638,077,670,051,
204,678,134,988,055,328,803,593,756,378,012,118,848,563,855,413,718,052,491,
604,785,776,686,999,342,728,799,085,025,800,521,948,440,973,170,451,364,336,
165,599,371,511,785,636,646,145,999,177,342,015,787,618,192,092,748,641,106,
377,807,149,284,725,953,474,789,529,925,488,578,920,928,727,277,835,521,670,
503,645,941,486,361,763,087,561,279,108,406,853,242,489,720,564,891,470,260,
763,121,407,924,311,824,676,985,102,595,520,818,782,942,947,918,595,418,655,
807,425,994,648,396,821,363,367,027,800,239,377,319,656,454,811,846,735,842,
122,078,062,009,725,460,409,208,273,742,021,771,079,761,713,839,425,625,739,
040,433,575,373,399,513,633,536,888,435,433,878,554,902,720,531,026,164,690,
979,970,242,216,544,221,532,633,735,008,922,251,835,121,209,347,460,385,783,
172,100,820,942,032,105,312,679,835,688,931,324,294,107,291,043,346,873,754,
810,520,896,879,840,523,562,511,334,941,740,255,428,662,101,285,178,834,872,
054,586,303,160,676,293,008,433,246,110,751,885,858,315,041,616,167,722,848,
117,078,503,685,497,702,091,933,935,468,136,836,165,044,505,209,135,393,962,
498,658,336,500,456,959,804,591,717,318,566,673,584,417,976,124,870,980,625,
309,931,523,309,248,221,863,655,614,166,868,765,889,862,896,478,308,907,991,
712,196,745,229,814,160,429,922,935,812,382,480,243,531,860,269,920,353,958,
051,080,118,372,113,745,632,256,424,930,758,556,475,652,567,757,011,299,231,
811,513,247,316,157,921,257,808,202,150,874,602,829,842,970,772,934,022,003,
311,182,068,428,430,337,165,287,150,749,855,584,739,613,503,357,998,002,209,
773,527,943,470,536,620,043,973,157,234,600,266,856,911,048,872,399,609,462,
111,072,751,109,594,897,942,132,535,827,924,049,903,542,666,593,473,436,666,
478,250,437,665,630,597,886,899,286,780,218,887,616,961,508,776,074,517,759,
288,199,212,794,587,640,883,346,137,722,992,256,045,896,114,327,073,716,705,
842,407,624,849,546,667,311,438,795,075,693,676,018,118,080,526,270,958,182,
211,002,860,176,750,647,308,315,667,499,891,443,804,348,380,564,167,222,521,
702,662,377,391,273,192,979,750,522,107,465,063,744,112,582,553,960,088,552,
979,588,371,755,297,158,756,236,687,966,669,710,672,190,928,597,304,904,082,
221,539,620,706,815,778,790,155,848,088,651,721,020,134,795,724,531,608,306,
320,150,794,351,046,962,703,655,426,170,496,656,431,122,226,140,777,145,469,
834,368,565,966,383,021,295,476,434,786,358,902,227,482,505,948,379,316,333,
127,631,476,782,935,288,051,420,302,078,371,685,787,439,728,491,014,912,710,
201,953,793,050,656,469,312,654,476,221,228,364,343,064,035,090,602,522,939,
130,937,223,974,919,673,687,105,463,525,888,503,911,259,593,086,358,419,455,
997,153,738,045,272,007,123,994,842,193,243,278,950,040,552,768,938,277,646,
421,402,012,000,143,437,921,288,884,122,077,434,995,882,468,023,247,145,428,
270,122,087,565,819,194,765,627,570,524,305,022,791,125,983,414,832,588,990,
442,073,419,543,663,424,548,172,150,465,658,037,234,443,420,790,129,957,687,
889,872,182,351,289,262,070,106,418,337,266,951,882,609,043,384,658,171,829,
213,001,952,263,590,709,626,436,447,614,743,798,275,027,502,931,244,384,523,
443,893,933,016,435,770,277,296,819,279,467,828,387,264,614,992,333,503,494,
064,049,832,621,600,032,725,470,269,420,583,216,012,878,835,334,329,005,975,
736,701,936,889,402,455,325,171,063,824,417,871,607,604,969,291,603,852,925,
088,057,471,330,170,369,367,696,252,798,582,270,033,211,618,117,961,159,087,
742,081,307,849,242,158,565,031,503,063,935,006,106,215,915,073,157,775,248,
247,549,757,156,514,566,342,889,687,380,480,439,981,832,034,992,116,143,340,
006,053,578,004,832,727,381,497,679,695,256,295,056,684,053,281,045,025,804,
843,814,482,441,522,633,167,287,044,596,830,070,366,289,202,723,461,523,916,
753,208,247,345,006,721,856,810,652,083,053,359,953,477,556,331,610,217,537,
145,820,892,333,478,536,357,037,488,904,133,086,479,325,480,621,250,610,472,
582,141,804,490,359,089,035,292,251,638,457,582,749,929,388,227,464,841,424,
551,259,897,144,815,255,006,067,123,752,578,221,985,157,314,500,716,853,317,
004,117,119,417,242,913,499,907,752,095,100,175,008,002,840,543,083,695,838,
139,428,683,757,694,687,152,927,748,075,260,251,042,743,620,270,839,585,225,
514,296,483,224,961,064,136,759,471,281,941,853,017,291,022,106,552,227,156,
743,284,998,078,298,535,053,848,988,309,946,358,770,651,336,088,648,508,950,
075,268,033,659,840,165,293,068,508,689,566,939,261,057,048,423,906,069,379,
486,591,743,392,162,965,454,924,131,065,637,326,607,222,264,015,572,423,709,
796,158,047,433,677,510,888,208,811,770,575,992,535,318,252,481,384,195,258,
758,211,256,840,608,724,329,909,687,701,470,010,955,701,256,862,351,164,656,
222,421,748,544,431,209,424,066,661,973,217,487,766,232,705,874,005,250,203,
179,272,010,395,615,480,675,843,918,727,965,868,635,040,973,841,344,503,595,
276,723,144,195,743,363,419,177,348,805,951,401,996,377,590,316,402,809,003,
395,143,996,759,824,610,493,138,105,104,419,535,772,769,001,097,925,716,245,
545,145,483,724,072,220,174,589,635,922,642,535,970,459,289,415,825,627,792,
724,283,375,924,837,234,038,625,526,213,580,591,950,801,285,054,275,233,021,
527,288,134,321,482,613,136,215,202,966,032,239,194,258,592,008,260,114,494,
816,309,515,283,375,188,782,476,273,848,767,574,203,348,861,750,026,477,305,
121,224,736,066,682,747,384,974,692,562,444,139,715,877,910,342,773,807,358,
661,295,597,690,433,735,538,192,745,725,841,937,914,597,348,724,300,572,034,
066,774,458,977,460,977,524,438,183,776,391,914,524,504,241,395,469,992,443,
808,669,172,366,551,591,433,312,476,305,195,074,028,723,199,357,801,164,834,
296,264,643,254,675,564,343,054,162,226,781,575,878,526,601,872,671,774,661,
009,427,793,927,813,355,471,433,939,291,565,657,216,206,995,998,570,398,753,
705,639,547,964,399,096,695,681,033,853,432,366,119,615,533,879,910,973,305,
032,618,163,202,632,034,932,321,886,584,866,207,278,410,531,422,901,657,551,
211,036,603,213,256,867,246,632,667,792,551,458,301,937,672,190,566,945,490,
123,379,588,613,937,583,149,918,522,802,234,777,327,482,732,931,862,358,904,
424,034,786,881,952,627,846,786,755,540,267,902,945,762,959,811,092,757,122,
838,785,535,698,444,842,636,783,065,585,042,195,100,037,759,325,611,058,321,
094,117,358,743,668,626,594,963,508,035,156,671,470,442,468,654,513,796,315,
783,930,666,485,323,483,414,099,092,011,682,220,694,291,286,184,340,149,600,
672,800,870,584,400,727,023,634,276,559,271,875,528,544,321,952,527,048,406,
062,911,324,699,645,795,065,211,243,347,495,421,856,277,831,988,102,397,413,
816,615,512,127,724,775,228,278,441,749,772,420,623,895,202,802,213,184,559,
551,660,054,662,744,181,562,590,999,157,754,771,255,618,809,616,542,896,676,
490,916,491,199,016,840,357,800,981,203,112,437,111,419,537,009,245,088,605,
436,776,441,903,174,572,060,324,177,979,407,931,598,307,349,664,038,942,523,
344,188,771,952,631,310,414,541,210,871,875,826,526,786,761,507,156,776,760,
117,837,133,062,162,543,272,844,038,339,184,482,593,904,412,632,552,924,292,
098,992,628,489,754,025,497,640,135,915,511,664,918,048,465,899,599,447,348,
105,905,265,069,145,896,971,538,735,601,666,404,254,151,996,275,617,977,460,
568,414,822,667,879,883,924,613,509,285,204,395,442,696,884,951,757,408,702,
000,017,322,412,477,400,102,338,413,019,489,875,420,272,441,435,162,280,674,
720,889,612,204,085,708,131,641,373,407,596,149,679,504,007,505,222,567,397,
178,297,498,562,791,325,743,270,438,631,551,490,584,279,705,594,774,428,761,
693,315,041,249,864,693,354,238,633,339,428,175,725,185,240,434,121,583,584,
903,435,718,744,506,038,286,536,204,515,173,070,121,768,589,446,257,549,844,
579,079,272,568,903,795,195,276,141,442,509,388,083,572,790,030,524,022,422,
076,861,048,242,947,927,216,259,000,927,590,414,612,482,748,478,952,389,775,
734,184,307,715,278,799,367,383,733,193,173,048,634,077,739,061,729,579,374,
624,434,485,760,150,479,825,976,276,317,383,039,996,102,996,410,918,832,846,
861,987,830,822,753,559,464,166,312,118,058,670,490,731,016,526,130,625,474,
910,020,241,068,173,846,165,161,541,236,914,131,612,522,665,116,265,111,074,
304,305,568,231,342,666,438,731,263,673,375,023,503,015,997,195,366,236,205,
058,979,567,017,046,380,027,822,170,164,837,291,741,803,265,176,969,793,326,
764,982,195,942,434,354,411,712,597,617,114,384,171,214,790,858,769,073,639,
556,641,374,969,282,183,877,319,206,765,988,710,228,192,726,019,824,657,356,
368,795,000,152,626,738,653,479,299,409,641,971,460,235,799,327,459,193,558,
312,918,960,697,528,954,689,158,925,033,588,286,102,648,491,872,161,488,595,
923,102,247,723,254,227,459,786,763,175,855,872,650,808,458,374,387,105,495,
397,698,410,394,737,140,161,985,384,078,916,009,417,353,858,850,696,899,478,
771,152,896,527,543,569,855,620,533,096,800,732,222,170,133,230,320,539,114,
294,585,006,373,601,461,296,062,249,746,344,200,501,609,518,841,310,205,276,
456,474,231,755,719,145,876,283,052,885,507,467,020,815,361,516,137,716,187,
676,315,393,860,080,128,464,732,058,405,528,400,787,666,907,668,952,344,679,
632,140,813,456,877,687,248,390,790,004,251,591,293,161,281,266,912,240,375,
557,912,709,349,447,441,179,236,716,486,377,365,042,910,323,751,733,211,594,
939,250,940,174,987,209,129,376,847,135,092,248,919,598,643,375,116,670,117,
943,116,072,006,198,434,619,971,489,596,808,062,720,944,497,658,059,077,274,
138,961,538,114,701,787,691,635,079,086,739,357,826,609,654,137,166,831,773,
191,795,075,793,529,048,167,056,405,656,915,716,997,785,838,283,477,048,978,
019,580,750,565,163,762,797,100,068,261,413,691,107,265,633,399,102,299,306,
281,043,364,817,249,586,624,096,273,654,346,247,234,069,697,909,490,192,347,
755,453,895,288,955,558,082,374,759,169,648,120,256,632,779,429,181,180,108,
691,863,436,235,502,912,979,624,291,573,804,368,297,903,533,666,040,808,886,
200,554,518,685,574,341,269,985,050,757,048,095,736,462,448,461,872,325,251,
931,306,669,692,978,339,993,678,433,812,077,722,310,259,504,423,913,763,919,
115,411,284,350,900,232,896,989,241,081,921,149,705,979,697,233,572,457,101,
939,733,276,981,027,967,348,696,214,501,178,965,884,829,738,696,336,301,189,
444,700,766,860,091,505,733,892,711,220,317,545,687,330,327,399,704,882,062,
746,382,735,068,491,215,370,013,453,243,307,062,108,055,380,123,485,137,659,
346,190,317,150,913,716,259,001,255,319,407,293,865,218,633,388,600,329,892,
948,077,994,507,213,559,633,482,378,092,151,858,978,442,168,468,721,937,119,
097,713,017,139,519,269,437,522,214,194,554,908,254,708,784,440,208,106,202,
719,471,724,623,645,286,435,854,558,940,440,114,080,907,774,610,223,091,933,
437,916,875,949,630,636,498,655,308,545,685,353,642,954,941,190,179,669,177,
051,908,136,131,875,831,987,062,986,755,734,962,362,197,514,625,981,661,747,
129,537,398,041,475,655,316,503,004,404,254,147,975,794,627,586,857,625,543,
493,488,384,315,289,695,507,525,585,946,143,539,591,515,215,325,638,194,255,
563,959,284,705,177,902,834,807,097,725,752,326,301,674,375,241,576,914,317,
322,639,432,865,849,673,122,722,863,442,363,864,052,110,316,470,542,981,054,
700,240,839,878,183,031,258,859,670,025,199,503,247,002,888,986,711,482,966,
852,009,129,323,263,497,543,618,738,144,163,157,939,376,894,990,329,818,758,
512,902,903,264,805,522,000,359,479,131,039,536,292,350,996,897,119,182,006,
085,147,256,018,278,794,447,479,625,633,571,455,682,715,417,584,734,999,059,
318,830,319,888,286,572,485,506,473,104,250,874,665,868,729,598,336,220,306,
208,563,565,880,747,350,824,711,283,961,047,610,954,790,927,227,759,387,409,
280,092,052,064,104,486,946,904,222,092,734,473,213,751,063,015,312,238,416,
346,323,790,428,759,690,014,320,483,754,033,384,798,286,207,376,218,581,441,
783,865,328,655,513,953,706,858,252,626,191,231,947,496,507,429,173,661,301,
370,834,242,378,207,625,719,931,921,920,248,381,048,168,717,722,128,732,608,
241,402,718,652,486,538,424,792,154,333,948,534,553,455,966,950,926,950,665,
322,353,968,202,633,643,409,744,034,437,419,308,585,701,595,883,097,231,421,
550,740,452,279,755,305,288,529,258,497,262,207,118,915,434,652,496,655,099,
674,393,153,785,828,980,979,746,610,714,396,034,549,578,297,897,616,826,996,
438,018,176,683,998,716,896,723,078,127,572,404,037,011,844,082,984,045,018,
113,128,576,431,258,606,257,019,149,422,492,908,710,481,258,860,844,557,124,
800,373,487,397,823,483,578,376,545,615,090,221,314,028,371,467,620,333,766,
645,868,187,689,422,220,919,648,080,879,604,089,894,671,832,647,357,455,557,
547,667,009,540,460,962,828,906,612,808,244,421,207,799,733,817,321,117,363,
337,431,073,982,675,911,157,191,182,972,862,517,565,242,029,512,931,433,826,
848,668,691,358,238,930,680,717,275,409,756,504,921,996,505,836,809,354,233,
123,350,876,722,486,370,228,414,051,199,745,131,465,121,291,059,659,590,723,
011,011,810,097,663,382,846,978,768,770,005,817,517,066,541,751,407,600,396,
028,471,155,979,097,090,514,596,217,528,122,859,734,418,145,708,995,881,022,
669,384,014,911,670,426,367,253,028,354,242,795,859,915,134,404,823,454,947,
984,395,489,483,657,494,641,800,436,058,342,795,298,113,376,991,306,969,703,
601,737,080,097,394,208,067,961,921,506,352,665,041,155,809,400,666,328,479,
496,224,335,825,071,495,791,415,151,910,905,279,730,230,436,855,349,676,002,
700,279,855,192,998,843,047,866,626,830,007,240,279,232,107,649,144,613,587,
837,725,017,266,114,994,166,016,997,909,598,350,558,733,657,901,997,807,238,
073,447,446,182,898,365,445,811,666,029,858,084,977,862,693,833,787,734,344,
699,454,403,201,668,715,770,564,931,372,960,774,173,147,564,846,297,115,092,
787,342,572,806,615,236,138,825,042,131,006,924,937,306,813,408,271,134,374,
949,947,939,383,628,689,622,808,274,811,065,155,115,104,889,097,384,269,374,
692,810,905,800,566,194,312,025,499,967,385,518,300,609,987,439,896,048,218,
318,358,155,340,940,014,105,411,905,366,520,280,815,974,743,921,239,634,414,
839,643,297,129,506,538,277,603,566,233,843,398,438,220,531,181,394,653,866,
309,750,354,035,845,714,945,790,665,858,599,397,781,968,263,984,350,046,242,
902,651,018,169,014,986,766,564,453,060,319,865,484,449,788,696,714,270,421,
053,510,540,416,305,367,926,150,659,981,355,858,587,276,279,900,311,926,501,
209,658,318,497,220,876,108,188,761,420,555,958,107,260,293,795,013,487,567,
882,189,170,933,967,902,667,588,434,573,651,368,161,337,874,582,222,793,221,
964,648,585,882,822,731,018,600,568,907,259,714,650,938,212,494,861,570,809,
670,645,781,348,284,633,484,471,035,995,546,709,583,375,549,021,805,820,237,
414,626,614,951,292,213,311,697,364,889,080,558,322,333,611,678,096,934,863,
864,617,920,270,656,242,214,449,135,728,971,249,241,911,715,573,722,535,426,
422,975,728,637,152,486,959,185,759,569,111,022,467,056,857,718,069,160,972,
177,533,672,115,346,514,192,091,084,521,134,378,829,565,453,754,743,364,646,
806,991,523,230,276,410,654,890,314,954,752,009,135,033,564,144,184,872,214,
713,110,265,975,100,894,537,938,075,201,202,685,673,776,466,672,137,555,338,
113,212,399,877,816,628,127,868,541,271,416,346,306,921,087,493,771,058,435,
909,163,826,267,080,706,037,002,672,805,812,390,363,306,800,008,119,537,356,
042,948,473,653,870,628,435,148,886,334,592,140,822,827,842,503,880,002,565,
359,012,617,624,914,803,728,484,605,844,712,486,160,024,170,778,144,972,643,
146,839,419,982,260,641,618,629,407,134,537,036,417,331,746,779,515,169,219,
346,080,618,527,485,282,363,308,362,584,638,849,912,285,860,226,228,882,040,
649,930,662,031,913,644,646,387,446,815,922,374,372,207,656,802,276,212,811,
724,788,054,397,851,330,064,159,277,927,024,243,299,027,593,985,041,309,821,
860,079,564,872,059,098,328,319,095,456,411,001,792,435,843,885,876,504,300,
383,577,018,882,634,046,680,807,988,841,336,865,706,539,076,670,881,256,248,
631,434,870,472,890,652,905,431,010,339,054,609,061,252,128,812,552,968,319,
551,851,358,744,190,197,010,610,261,072,610,896,166,704,990,648,186,245,710,
645,757,852,838,964,381,291,373,094,036,299,286,120,994,261,834,710,107,399,
552,515,188,344,049,129,348,313,609,618,731,593,032,409,448,694,157,633,002,
696,850,404,612,534,150,846,042,571,207,170,241,068,790,404,048,532,248,689,
283,201,397,884,212,619,701,913,907,706,674,750,538,074,750,646,155,753,759,
651,705,277,431,927,227,605,567,438,126,588,786,058,299,021,131,221,202,305,
691,276,831,408,990,157,497,747,718,155,775,940,031,537,005,291,621,590,571,
726,772,005,382,501,240,993,950,777,896,905,571,637,053,577,978,712,226,280,
518,857,341,814,680,530,650,261,153,842,793,834,225,888,663,917,492,049,952,
244,527,777,110,383,010,571,638,238,739,639,878,990,661,092,792,855,202,051,
970,103,749,169,128,509,989,011,884,915,216,230,162,617,516,901,587,280,076,
569,871,681,162,150,556,790,800,825,635,348,067,917,107,442,412,029,278,582,
579,022,291,519,196,164,566,559,001,152,262,111,723,198,706,662,237,284,893,
270,454,697,809,181,855,074,627,300,540,292,925,321,287,381,451,498,840,053,
584,478,567,900,234,042,891,048,998,635,911,166,602,929,932,886,112,418,435,
479,013,670,499,011,788,597,167,776,229,137,376,605,349,439,693,730,988,545,
405,880,294,501,156,610,933,206,481,528,190,545,949,648,248,626,549,010,024,
430,023,142,680,903,246,146,238,532,697,930,497,960,702,943,827,204,271,876,
538,050,499,286,474,673,274,722,901,683,952,081,596,608,034,115,541,361,245,
358,177,340,844,221,627,342,324,213,567,574,334,555,898,768,641,079,232,984,
332,663,833,268,721,896,829,503,654,634,260,729,731,525,589,704,518,144,818,
309,707,801,397,648,761,040,864,792,052,951,141,063,706,009,716,591,385,844,
667,135,288,810,403,146,387,560,470,815,406,174,680,972,500,420,871,076,699,
804,025,968,757,467,233,461,759,961,943,993,163,388,613,899,109,628,266,596,
144,188,296,491,659,470,583,577,355,463,578,392,216,810,495,964,315,307,171,
341,363,661,932,941,919,869,109,223,770,309,677,638,943,371,534,282,237,003,
522,314,392,555,330,766,792,647,000,891,278,645,918,109,885,264,511,569,086,
383,268,089,762,660,993,360,189,189,215,621,965,997,133,393,638,818,502,030,
783,800,500,731,201,710,005,730,639,016,528,602,490,128,174,497,169,284,738,
758,690,040,838,997,477,050,761,418,113,829,456,613,783,329,785,910,140,719,
266,623,102,665,360,106,152,632,478,299,607,419,750,616,742,546,760,389,420,
473,986,762,669,717,739,142,757,828,143,246,126,641,421,517,245,916,330,344,
723,396,821,953,172,589,881,463,252,296,553,675,808,920,362,224,154,715,547,
503,303,390,197,984,795,887,493,162,557,147,816,327,588,027,843,761,125,050,
823,370,485,094,024,132,093,811,606,388,795,967,474,932,739,957,997,893,026,
228,794,002,483,330,317,321,274,580,766,876,948,899,338,700,419,865,811,681,
877,495,917,152,601,875,372,755,602,721,000,937,613,081,468,740,495,599,556,
489,214,288,860,418,678,158,205,033,682,455,032,681,469,213,750,798,197,089,
623,070,305,529,236,303,625,237,818,681,077,388,857,550,963,542,583,178,771,
667,456,446,648,673,886,762,239,242,655,107,721,552,128,868,874,861,869,468,
583,346,861,800,789,805,213,040,538,739,489,527,563,575,893,131,644,805,389,
168,598,253,299,445,747,410,608,404,413,880,857,295,475,379,863,974,122,424,
452,305,183,220,221,914,530,813,318,570,222,688,881,677,646,795,713,176,811,
026,709,307,738,139,646,503,015,590,644,307,851,321,041,459,887,452,804,503,
732,322,050,717,399,640,007,033,133,134,606,935,294,793,063,721,173,311,126,
638,096,282,235,750,707,716,589,707,488,839,213,622,537,026,324,404,357,955,
023,191,707,927,221,873,385,204,255,445,060,602,017,154,651,900,232,863,775,
767,360,819,415,502,284,657,950,773,678,167,541,737,652,398,940,843,767,885,
689,422,420,008,573,734,799,596,132,848,655,416,025,730,704,663,069,544,792,
766,123,392,613,580,033,358,442,701,009,541,997,054,229,823,692,944,962,441,
281,733,701,768,821,186,445,217,723,215,931,954,952,649,480,689,854,141,792,
682,462,520,249,791,180,873,008,585,599,417,063,445,014,234,264,110,619,856,
822,451,157,235,734,577,054,483,677,024,722,655,459,661,486,511,590,779,765,
997,823,613,016,845,981,702,076,326,135,294,848,699,189,385,377,141,893,906,
852,021,364,992,437,733,243,654,412,180,961,743,836,722,393,491,062,765,946,
513,753,285,494,488,322,435,050,403,749,443,164,121,788,376,791,954,342,500,
856,816,729,649,990,045,102,045,782,625,355,007,529,009,715,205,943,447,745,
464,498,232,440,922,342,192,565,362,291,131,238,779,060,922,296,992,055,760,
356,877,239,909,999,850,963,815,687,958,113,220,010,111,895,993,745,032,067,
396,951,660,377,943,527,356,364,084,179,206,196,172,574,063,115,939,605,770,
201,222,856,706,582,399,686,868,496,899,304,717,972,851,747,134,892,421,095,
554,848,708,375,091,419,847,949,101,571,352,699,369,169,130,246,837,829,332,
981,300,467,963,942,299,496,807,669,170,741,822,990,342,565,323,878,037,659,
070,042,608,976,281,545,877,730,890,947,730,628,897,951,275,000,516,196,685,
673,496,391,990,083,561,860,974,512,270,187,442,291,938,981,882,631,321,090,
621,989,989,315,966,194,400,615,992,823,327,942,786,685,510,263,817,144,387,
607,968,552,986,301,234,696,674,146,573,009,413,944,847,928,516,519,085,262,
196,561,126,110,117,224,533,969,339,377,353,287,678,390,295,690,813,666,530,
247,993,940,087,797,817,515,721,665,992,416,990,446,862,456,071,120,840,555,
108,828,617,852,136,959,869,017,344,758,497,698,154,111,856,938,582,684,162,
292,115,802,082,859,857,650,211,898,677,561,350,421,875,767,146,903,960,176,
579,542,582,593,285,279,960,911,641,857,839,227,791,311,685,518,468,796,831,
544,238,562,071,499,558,325,872,623,963,365,054,642,969,771,300,900,779,379,
271,375,734,862,288,755,380,245,924,189,033,811,850,731,310,706,849,230,303,
951,089,182,127,531,404,865,399,088,163,565,599,477,853,958,414,740,087,858,
900,465,345,471,079,040,394,782,443,243,235,045,480,540,682,540,536,992,252,
685,299,819,488,499,107,237,786,030,250,114,299,878,353,161,084,654,061,308,
818,465,373,520,799,365,271,301,825,858,274,219,217,849,150,485,379,887,933,
259,572,105,924,608,939,565,280,727,841,735,047,579,418,920,343,045,698,163,
122,975,849,767,088,009,996,473,389,044,440,399,148,645,808,205,852,211,726,
202,854,753,027,993,958,691,697,201,698,468,818,004,460,089,718,953,227,747,
459,519,716,789,839,327,366,782,875,814,318,960,400,744,382,132,381,752,854,
666,897,932,864,248,181,142,534,316,357,602,226,916,702,132,417,430,914,396,
573,372,131,170,200,154,426,600,158,707,716,812,645,524,193,870,389,276,728,
937,995,758,076,335,763,221,123,970,593,159,936,790,962,101,942,382,005,522,
575,869,739,862,528,123,462,663,880,299,575,487,723,845,936,804,981,787,106,
666,969,573,062,528,614,138,740,369,655,274,222,667,890,550,928,667,792,272,
923,382,805,201,095,164,444,958,597,983,204,765,330,479,746,875,047,854,437,
661,216,695,493,232,151,567,341,513,821,233,975,098,677,484,498,980,046,302,
075,649,967,167,887,324,012,171,586,694,241,282,043,524,779,949,535,003,370,
296,834,310,816,899,915,880,820,323,543,131,461,033,142,480,180,728,082,204,
327,389,225,277,683,330,075,332,677,454,565,866,532,502,003,502,433,036,450,
211,910,882,350,797,459,783,144,293,721,312,761,135,691,176,555,375,061,746,
954,790,758,884,327,103,655,846,421,308,799,058,557,760,974,358,206,151,997,
444,199,134,274,438,518,546,038,660,057,888,979,989,961,641,995,931,431,863,
268,391,603,357,946,924,897,802,347,969,739,453,020,196,228,969,989,236,610,
097,949,768,212,249,997,116,104,127,863,221,202,711,766,894,029,444,087,067,
325,031,087,711,302,041,469,509,893,510,222,314,111,911,056,989,092,916,757,
621,582,569,013,665,314,330,942,268,389,332,983,445,747,737,664,760,869,454,
670,393,876,199,381,222,814,820,055,485,805,637,973,061,552,158,779,966,798,
767,109,729,612,480,439,310,336,269,943,201,621,776,492,646,451,077,283,624,
941,470,048,932,908,932,428,031,059,610,884,860,623,640,927,238,215,385,926,
650,894,197,661,952,625,269,241,433,307,707,106,258,079,245,598,505,354,243,
957,498,070,316,324,278,893,073,771,528,213,943,155,230,196,839,849,667,587,
170,477,005,896,569,119,515,426,922,815,754,042,213,482,876,170,744,356,576,
239,687,942,243,351,872,247,383,195,570,494,853,937,125,404,423,486,210,476,
027,268,078,186,806,350,041,512,038,409,074,511,929,847,693,883,365,899,028,
523,657,219,215,819,520,296,432,171,797,414,675,159,770,446,284,828,272,709,
225,966,136,769,954,609,624,596,384,564,176,185,171,574,574,993,888,095,960,
968,518,865,802,300,876,953,938,778,952,589,526,863,052,885,053,418,459,885,
603,742,922,262,477,546,692,086,657,840,766,821,508,033,111,631,067,798,166,
101,320,064,964,034,417,844,359,807,096,123,411,021,449,387,733,796,345,507,
296,401,807,192,659,911,487,306,782,948,418,754,312,843,015,827,957,942,551,
723,113,409,279,546,096,581,747,186,064,152,192,984,653,654,299,195,325,552,
957,141,160,166,415,453,623,185,883,532,239,042,648,352,928,656,156,273,617,
474,494,404,971,652,702,351,202,584,419,001,251,570,395,593,357,887,647,010,
528,812,782,066,225,969,183,161,728,402,102,060,005,450,994,139,045,386,652,
380,100,922,564,383,540,565,188,710,728,865,347,906,365,757,562,946,146,351,
307,447,931,919,963,489,168,157,628,451,598,391,555,606,083,503,536,097,070,
983,170,424,188,193,641,898,400,377,793,542,207,529,146,578,313,234,342,980,
634,532,335,838,347,369,535,926,404,322,797,157,378,247,523,880,407,859,759,
636,322,225,464,424,350,782,264,474,610,920,530,755,858,607,068,455,682,805,
615,299,104,861,705,171,776,961,671,043,345,270,429,247,497,343,457,263,082,
532,910,901,050,940,775,493,532,154,912,163,367,408,821,922,308,463,931,229,
381,819,668,481,996,862,471,887,023,007,822,981,033,706,655,807,985,240,521,
227,724,782,722,323,295,876,538,191,523,623,445,245,468,112,712,739,953,047,
045,672,364,769,886,529,598,960,835,348,322,728,105,749,543,313,186,357,027,
452,658,848,032,484,550,736,629,325,024,324,460,155,823,706,822,268,325,680,
554,388,210,451,419,431,835,413,809,911,470,876,240,227,007,561,954,127,127,
266,034,510,751,051,313,349,887,659,481,435,467,353,619,521,099,748,716,449,
413,937,009,025,976,054,164,252,846,412,287,053,839,506,074,869,081,744,228,
244,175,322,144,932,454,389,315,043,909,202,202,498,609,694,819,859,114,084,
546,720,246,127,916,568,606,079,814,591,853,155,437,981,551,229,218,140,493,
141,640,532,228,947,245,116,271,589,486,272,576,878,026,891,323,120,747,451,
370,325,069,878,120,525,466,967,212,888,124,313,535,456,353,054,636,815,590,
982,499,792,361,382,146,619,798,589,347,852,980,103,144,132,161,830,966,291,
247,115,476,452,354,113,580,987,578,309,340,645,291,163,386,854,238,164,149,
106,801,616,824,678,397,613,107,873,955,147,467,483,044,262,009,830,541,768,
693,878,884,695,629,552,283,322,952,530,129,892,487,108,103,802,938,258,393,
713,472,641,896,503,892,273,841,930,339,044,324,327,356,659,885,576,288,516,
653,407,580,569,508,821,146,749,348,466,667,996,097,751,242,411,905,880,795,
218,458,403,513,317,247,485,533,553,376,916,871,692,772,458,489,962,232,506,
705,983,315,469,059,564,724,331,489,745,879,884,255,023,613,016,398,430,885,
752,128,400,966,847,882,417,778,572,087,949,395,796,713,891,085,987,405,608,
311,872,215,485,776,259,864,838,771,315,120,530,743,898,897,324,595,756,977,
749,186,421,513,034,302,647,911,123,362,551,264,255,002,712,627,334,764,384,
373,263,081,277,833,756,707,241,733,475,129,122,067,797,364,253,823,245,043,
088,257,623,611,527,034,269,991,976,399,150,278,780,243,625,658,571,833,675,
620,068,479,469,548,401,102,255,603,330,305,405,817,775,943,427,010,625,785,
626,057,463,484,151,723,235,131,252,941,058,167,348,325,911,337,588,852,828,
413,263,533,592,932,397,153,036,648,932,801,024,553,065,472,750,421,323,202,
858,726,787,116,449,389,029,904,476,396,428,717,128,012,897,473,424,740,587,
983,658,733,454,030,032,273,495,693,612,422,190,589,820,860,746,131,611,354,
276,870,408,999,813,328,774,682,211,979,787,997,966,883,077,377,533,840,119,
906,946,660,590,952,581,743,605,514,335,248,708,418,587,380,205,052,565,160,
327,125,247,780,620,588,319,733,179,518,114,340,077,565,773,928,719,366,260,
876,859,835,493,424,502,692,363,368,393,136,626,066,985,735,463,636,110,077,
203,193,737,397,374,272,870,999,952,193,811,597,265,793,342,774,910,687,071,
617,466,869,884,571,083,610,695,654,125,008,770,501,000,223,648,137,063,633,
898,120,409,089,438,894,962,239,265,103,389,182,018,114,007,887,541,587,188,
032,496,025,364,259,686,345,511,814,630,297,704,328,223,939,370,713,458,561,
448,383,352,577,771,136,327,092,954,243,264,865,915,697,969,719,932,290,945,
888,696,959,250,021,083,382,657,594,962,810,680,551,083,971,178,643,502,960,
240,104,296,139,579,326,885,989,103,159,839,067,364,502,475,771,650,674,000,
579,624,658,124,058,334,351,293,752,940,088,953,187,737,262,053,905,392,111,
449,290,605,580,292,190,470,487,053,085,293,983,868,933,298,387,163,608,374,
497,859,560,644,584,173,522,659,709,567,802,044,003,475,158,691,928,156,640,
767,882,213,863,933,791,063,621,666,428,970,913,913,154,978,864,363,198,264,
791,870,957,051,361,342,734,901,940,165,136,050,967,094,429,140,106,260,733,
801,591,521,957,391,815,508,044,849,768,360,111,250,009,829,389,545,411,834,
591,140,102,049,054,645,749,477,148,337,475,317,593,799,414,900,383,703,489,
539,157,041,945,156,531,078,726,268,063,803,993,918,024,261,695,184,238,385,
680,070,626,999,572,500,931,667,013,285,478,944,673,412,519,157,141,498,862,
973,397,249,159,109,588,401,663,828,787,726,156,384,260,654,578,951,264,010,
043,925,682,837,501,690,737,031,242,292,253,489,435,184,147,341,507,327,785,
227,128,403,114,724,336,739,658,401,939,520,416,073,013,441,917,280,694,651,
673,188,317,613,785,601,611,254,195,339,448,552,582,724,567,472,504,808,685,
117,031,289,172,956,446,766,998,197,631,352,676,378,546,958,202,670,357,882,
982,431,967,647,480,952,730,906,260,946,785,120,517,151,374,043,038,467,256,
820,398,443,832,778,286,962,243,227,235,846,903,889,600,061,183,938,263,435,
272,409,062,735,777,805,616,268,544,138,123,186,110,226,051,763,117,714,215,
648,801,466,840,614,311,344,524,745,356,864,917,941,860,853,926,366,767,963,
521,787,097,783,538,812,413,011,441,641,503,365,056,813,623,242,655,414,235,
540,633,492,656,827,188,945,875,706,922,641,377,553,256,268,621,381,431,434,
195,345,853,192,147,241,187,171,459,429,472,814,069,528,893,856,391,196,403,
095,376,275,898,074,570,367,633,278,815,496,477,702,176,573,168,019,676,435,
274,914,542,335,042,822,012,869,593,765,434,190,952,266,749,391,149,274,206,
784,093,469,880,171,757,499,823,746,283,666,291,329,923,632,584,174,567,301,
149,096,903,633,762,472,335,316,195,984,706,460,950,416,994,462,142,586,030,
615,120,492,545,806,159,168,485,515,769,764,460,733,675,479,749,217,043,146,
069,358,598,361,095,804,463,475,941,504,029,707,251,992,675,925,751,641,793,
281,444,441,191,570,721,589,386,409,784,777,053,772,083,853,265,855,450,420,
376,386,204,405,402,043,828,732,885,968,022,578,851,702,095,952,458,583,155,
221,185,376,004,149,645,557,581,464,118,883,763,419,837,948,961,995,028,806,
474,695,094,213,922,448,587,589,094,666,749,995,317,937,667,735,938,105,883,
517,669,724,671,941,195,970,203,290,417,158,262,172,758,477,667,963,014,624,
141,692,389,411,883,215,233,880,697,152,256,656,738,292,578,144,876,440,234,
863,415,417,618,442,129,122,095,189,776,108,585,589,761,246,037,996,980,186,
964,460,605,907,863,808,425,411,363,629,119,825,373,179,584,301,824,646,052,
456,313,881,004,497,835,385,273,455,214,119,624,058,645,287,873,904,164,040,
772,184,919,894,786,752,675,230,359,103,548,868,900,026,856,891,998,705,223,
055,746,337,599,932,070,180,853,623,654,662,224,060,581,669,443,312,002,038,
921,673,459,024,263,360,461,590,045,040,906,646,941,050,734,135,568,241,376,
598,265,789,929,407,733,029,817,949,903,251,466,166,122,668,856,075,517,363,
555,689,541,939,172,329,608,862,835,192,433,537,945,148,830,043,419,840,857,
776,218,708,825,962,697,290,100,122,868,544,903,565,160,642,916,586,030,506,
722,242,973,494,117,555,552,608,017,157,296,169,826,657,757,776,384,212,522,
187,611,145,877,986,136,680,882,157,223,084,723,367,648,810,966,307,886,506,
741,821,572,094,056,141,920,782,637,314,103,108,115,313,458,621,112,760,151,
026,817,250,033,634,983,365,832,985,891,987,405,502,700,994,701,542,674,649,
942,987,157,772,136,248,269,601,318,806,623,281,821,378,994,431,041,498,564,
720,070,013,327,035,866,799,879,654,371,443,865,921,150,744,059,879,419,030,
643,772,350,455,740,276,930,156,876,441,282,457,530,616,263,521,718,136,743,
894,798,914,455,574,401,040,919,201,554,963,325,625,189,736,789,344,526,194,
206,425,126,226,910,255,121,830,748,433,282,517,557,244,927,684,873,804,306,
943,232,216,944,813,636,064,915,726,151,722,659,327,780,961,380,907,994,836,
878,211,365,582,283,713,676,090,035,646,104,491,266,498,462,576,774,436,046,
425,233,435,786,878,174,193,442,000,399,441,038,902,946,941,136,128,796,686,
938,282,766,915,436,715,510,925,123,672,409,385,578,479,518,547,662,703,246,
001,916,878,988,824,775,221,731,205,803,918,135,705,794,726,110,513,703,087,
714,840,744,310,544,957,796,025,273,825,368,502,783,161,776,727,913,072,361,
691,257,568,476,693,575,429,982,063,982,767,725,636,169,591,495,152,834,890,
379,634,131,849,439,057,678,174,722,684,889,855,238,759,612,693,827,135,152,
716,997,950,081,830,950,436,168,155,104,110,788,039,251,802,358,247,847,216,
530,037,033,304,575,436,452,568,619,720,771,838,537,766,117,680,657,911,987,
537,505,845,725,092,841,167,095,804,804,967,165,669,210,363,541,405,784,707,
885,300,954,773,634,441,949,871,601,972,119,086,763,872,201,071,869,708,045,
385,900,217,463,445,672,966,815,989,780,269,795,081,358,733,383,313,625,151,
009,844,894,691,252,143,101,819,387,626,183,136,395,749,993,912,245,284,454,
758,686,269,096,960,220,496,016,494,005,978,487,067,984,342,005,617,015,359,
487,948,644,365,992,460,668,265,354,379,958,764,094,322,180,121,546,448,936,
119,023,617,271,518,986,313,103,058,523,366,043,440,133,106,128,296,018,405,
664,913,682,387,309,410,852,755,890,763,160,193,994,263,352,290,587,929,747,
888,629,823,607,382,197,479,358,670,705,180,655,705,445,372,197,422,407,231,
743,324,915,111,862,260,360,494,182,567,262,636,201,180,567,738,269,219,727,
833,762,354,259,689,751,771,945,702,921,446,898,488,416,669,230,356,189,747,
508,971,812,154,444,102,092,532,555,129,789,448,012,872,662,825,102,855,953,
699,491,946,607,356,144,448,265,357,081,530,860,904,207,403,127,584,662,566,
098,721,214,219,660,519,705,257,944,378,357,577,613,516,503,119,786,243,667,
699,695,795,314,121,180,370,164,443,971,813,925,177,020,567,995,067,475,795,
506,827,335,985,185,260,631,817,556,665,771,434,284,237,172,266,777,066,974,
684,602,696,575,797,183,971,999,514,486,327,883,473,670,641,651,802,822,640,
151,532,465,103,000,582,267,042,514,307,525,176,291,452,566,962,883,776,457,
883,123,083,902,768,496,975,440,426,533,709,766,111,463,538,874,783,127,233,
432,117,979,804,515,114,609,925,793,105,451,058,187,119,494,833,918,239,037,
801,837,206,589,393,789,327,202,682,943,324,311,558,029,995,074,628,282,129,
776,871,319,571,649,187,167,810,858,672,373,186,637,406,637,298,667,212,351,
178,702,874,413,909,807,893,853,628,044,652,557,154,961,358,245,785,435,041,
102,947,276,123,201,101,326,860,100,452,802,591,401,019,516,296,605,110,930,
580,046,263,719,641,550,809,247,859,395,056,323,541,872,981,464,791,718,509,
145,538,158,174,649,901,813,084,865,461,942,546,206,102,481,218,439,415,860,
871,557,384,915,928,862,233,755,101,315,596,013,394,069,518,435,841,475,273,
442,129,425,184,258,530,640,759,797,273,298,445,065,941,274,275,948,230,461,
059,294,933,166,454,919,019,700,797,369,086,731,812,198,744,222,844,709,469,
804,907,226,652,806,000,451,142,031,223,532,551,556,181,871,534,334,024,407,
088,401,231,047,194,620,033,432,651,252,203,124,253,281,811,906,440,712,452,
155,651,122,290,698,606,500,465,438,546,033,015,057,882,143,739,659,376,450,
116,305,966,859,183,789,705,796,161,887,624,590,955,940,226,936,125,642,683,
436,850,459,304,718,610,198,683,156,013,391,768,141,450,904,864,878,401,940,
533,396,700,599,783,117,610,988,644,903,750,394,925,031,111,280,366,879,918,
505,273,802,837,626,576,952,539,960,029,242,075,754,905,608,999,798,897,635,
783,508,692,544,276,794,385,949,877,839,948,069,420,919,020,142,182,215,126,
874,851,174,313,425,147,131,389,594,939,304,567,037,374,966,280,810,312,716,
963,895,670,086,491,626,978,868,758,832,210,496,971,068,180,572,222,416,156,
154,419,882,655,424,959,336,519,394,189,486,780,929,349,856,126,873,966,531,
725,849,515,654,946,002,677,983,145,133,124,592,352,705,163,787,832,982,565,
910,910,455,392,558,256,888,655,179,428,610,856,197,822,949,779,230,317,035,
467,658,121,590,622,675,325,167,563,188,840,956,994,567,968,689,253,081,440,
188,624,114,127,717,958,411,726,336,579,960,104,422,701,712,539,783,180,005,
868,060,779,175,617,060,061,657,883,251,673,111,840,287,020,861,653,614,513,
235,004,070,299,164,824,946,994,399,578,720,860,407,527,202,285,809,777,709,
963,287,974,288,456,894,000,468,669,819,745,833,498,498,070,119,369,898,485,
218,577,459,156,116,023,168,850,371,956,280,629,317,060,260,487,591,623,489,
719,676,672,185,235,453,753,085,520,975,544,181,413,959,643,628,942,396,264,
517,848,351,500,407,199,978,577,865,696,703,790,192,852,508,577,565,774,881,
005,924,511,360,065,984,398,781,266,822,034,366,308,938,941,416,774,596,886,
832,609,916,636,177,474,146,779,805,445,469,711,218,122,658,838,943,568,864,
666,373,125,736,914,464,944,803,927,140,494,763,103,016,151,302,185,425,471,
494,928,689,608,158,704,745,483,013,707,255,524,100,167,996,668,536,240,836,
625,346,360,243,769,105,199,191,550,240,333,133,823,098,065,277,131,946,837,
760,550,906,047,579,720,501,203,235,372,391,074,398,581,639,716,171,443,318,
830,010,951,089,740,145,366,784,985,055,090,663,671,376,012,939,644,277,698,
509,359,055,919,149,795,260,801,522,840,453,568,354,879,399,351,926,229,477,
046,562,736,694,996,849,895,502,137,282,312,504,572,829,511,379,836,873,608,
476,868,622,358,333,707,379,364,381,930,978,707,204,560,413,583,228,460,317,
239,883,743,927,927,177,532,748,090,008,285,490,983,019,683,392,443,373,224,
007,516,396,643,232,593,584,762,661,156,309,802,067,408,510,629,803,148,689,
306,593,082,831,385,563,016,914,753,695,458,825,325,976,145,567,226,347,954,
039,852,700,589,077,046,054,513,074,103,130,251,806,735,946,638,833,082,681,
874,619,472,226,748,755,478,702,563,948,118,590,829,185,032,693,223,636,386,
297,366,434,080,274,362,822,697,557,796,199,940,892,117,497,626,668,566,349,
870,755,411,556,882,301,551,120,953,148,856,205,445,068,610,404,615,131,388,
351,528,701,212,730,446,663,541,171,944,079,738,413,918,595,081,120,313,038,
055,798,436,068,171,263,360,575,074,246,304,279,196,894,349,503,446,404,609,
465,483,941,480,212,774,607,077,695,253,040,423,702,239,972,332,022,303,741,
773,345,358,185,090,488,000,762,448,263,313,767,204,905,752,609,726,509,631,
507,799,066,645,609,467,368,038,108,194,038,209,833,058,647,412,454,244,973,
480,641,732,340,399,321,194,340,526,702,307,362,141,516,942,877,070,436,980,
135,845,586,667,354,168,961,711,513,193,414,391,216,952,442,073,513,182,693,
463,433,703,803,388,970,456,806,869,930,538,467,888,232,997,488,616,688,390,
300,625,492,402,197,166,295,651,091,151,643,591,034,594,804,261,527,563,066,
519,053,584,282,211,543,062,413,400,705,528,132,062,507,336,031,463,013,688,
822,153,527,106,334,773,232,337,317,702,535,011,342,599,241,288,292,348,396,
387,514,665,860,116,466,651,736,431,166,358,084,158,981,198,102,233,587,335,
915,353,965,142,508,488,183,388,848,075,950,841,923,595,282,239,212,353,103,
771,706,575,707,680,829,297,030,436,572,438,017,207,691,528,728,136,937,204,
758,507,484,537,810,872,702,119,982,161,883,168,835,829,853,770,182,667,793,
243,247,413,209,148,858,385,880,842,997,055,268,083,666,201,606,070,491,979,
378,699,225,370,221,979,596,614,460,193,595,420,645,337,909,495,541,151,514,
611,172,694,358,424,948,972,699,994,852,611,138,049,286,078,287,067,452,736,
554,944,451,837,111,833,588,850,166,377,362,903,774,920,308,507,516,310,509,
112,668,451,186,520,453,527,519,458,342,807,474,189,229,559,061,898,725,860,
936,687,991,124,493,711,103,046,042,333,277,335,724,085,298,085,579,470,873,
024,512,771,065,947,506,724,004,576,468,909,174,976,893,593,825,242,691,033,
518,136,432,051,972,211,096,656,804,901,559,558,336,816,658,288,094,988,643,
913,047,718,270,261,136,870,536,230,363,534,097,475,310,850,512,444,342,511,
882,264,320,634,912,273,058,893,147,619,138,884,786,784,000,748,847,141,984,
004,900,513,492,350,360,144,419,467,821,548,291,621,692,707,815,451,641,215,
129,882,832,939,899,190,118,517,390,712,845,258,251,393,642,554,763,653,203,
869,117,324,980,718,982,474,111,758,088,287,625,365,330,786,098,624,567,753,
825,865,084,682,941,050,539,073,572,480,480,659,144,885,165,680,763,994,274,
178,096,939,799,041,919,810,855,632,895,458,045,840,057,905,917,836,372,702,
081,596,819,181,866,860,966,340,760,536,871,671,461,158,292,673,163,815,464,
775,347,331,629,190,421,237,262,550,316,173,905,059,800,090,260,168,258,206,
246,008,077,135,570,162,383,528,629,614,234,552,431,344,182,953,682,109,950,
066,106,628,985,843,587,132,840,329,630,468,953,125,824,432,795,605,566,060,
685,832,785,092,997,070,653,564,711,699,004,954,414,320,263,161,536,456,822,
587,049,004,840,533,027,152,545,460,942,441,439,472,641,034,548,698,293,851,
967,026,249,329,174,603,109,109,416,998,477,995,710,335,903,213,217,056,617,
637,069,275,168,675,823,795,724,440,301,195,550,545,708,724,624,727,999,831,
547,487,258,742,313,489,106,885,138,490,105,201,040,269,912,000,174,891,548,
194,879,640,166,142,849,463,063,392,894,765,632,142,824,485,951,952,807,119,
967,416,296,615,823,660,421,615,897,848,632,875,105,757,823,464,810,109,408,
311,410,909,636,821,906,228,723,482,978,557,398,204,622,327,612,421,068,470,
766,795,292,186,179,720,537,752,952,065,429,590,430,198,458,153,255,508,998,
554,142,632,278,853,898,657,294,430,443,663,049,254,686,134,288,526,185,770,
413,086,811,290,180,284,403,888,134,972,944,277,048,412,617,944,509,233,106,
715,265,935,199,882,607,597,893,139,405,736,901,478,777,564,032,116,147,309,
360,993,697,014,855,280,365,580,904,009,554,694,467,536,948,991,827,124,265,
075,591,049,886,451,486,035,383,704,239,925,229,572,607,087,591,482,476,111,
150,861,984,523,217,536,072,823,220,681,217,872,203,800,509,284,771,191,788,
995,278,481,829,399,671,931,803,883,725,749,414,861,333,238,633,929,383,531,
141,942,563,032,843,098,127,147,472,138,810,146,000,263,123,070,446,163,116,
378,926,346,923,820,550,744,411,408,100,737,079,753,711,237,979,182,326,406,
829,570,108,587,879,314,796,317,885,411,134,152,891,762,565,728,496,606,485,
637,980,382,899,130,722,913,205,969,320,586,089,632,111,951,125,273,218,928,
172,357,639,553,562,953,747,754,395,514,413,387,972,998,970,812,090,219,084,
471,704,852,869,193,173,325,301,289,472,177,791,217,857,416,247,046,563,475,
955,402,937,628,060,746,211,690,248,317,856,937,087,381,362,646,419,311,558,
379,470,881,162,401,471,742,638,432,217,129,979,055,944,204,556,662,168,213,
957,309,810,382,224,587,028,428,858,254,250,747,668,908,478,122,593,879,801,
366,148,713,916,513,061,402,043,500,969,199,262,916,575,095,588,393,105,276,
724,578,711,780,735,095,799,400,298,789,593,568,825,041,868,951,138,300,260,
371,293,048,638,601,921,527,346,836,187,235,524,975,525,909,941,839,311,278,
406,384,132,765,465,800,066,874,030,635,646,094,207,462,547,132,605,809,173,
056,137,240,911,226,551,597,995,743,539,600,203,686,210,706,666,199,356,627,
030,844,434,774,234,112,766,939,395,277,532,051,993,709,790,648,723,350,003,
975,363,778,169,150,423,929,187,342,178,089,278,201,616,776,784,452,311,591,
870,468,532,963,679,620,234,876,408,227,044,205,052,050,838,365,684,076,281,
094,415,953,286,609,660,505,406,592,132,363,390,082,783,522,245,276,534,543,
013,648,090,428,868,018,841,514,132,726,264,577,960,380,819,828,133,694,783,
775,915,708,932,133,329,245,111,529,400,632,068,682,044,529,764,097,120,014,
454,215,322,177,850,512,042,686,908,972,615,444,064,993,393,951,912,754,656,
107,498,468,717,920,774,440,736,439,210,979,579,571,258,743,709,465,346,242,
695,918,605,323,153,516,980,193,937,147,758,161,407,970,999,389,579,637,382,
321,555,543,753,956,336,161,159,031,057,896,665,783,516,151,618,722,198,055,
931,449,917,092,493,628,807,460,249,908,461,454,213,925,240,031,624,676,588,
270,428,784,349,155,699,719,708,920,525,091,965,056,180,611,778,475,327,065,
860,135,267,982,786,941,773,801,789,438,402,203,576,127,032,403,488,900,445,
570,708,592,324,596,465,685,503,424,119,664,757,796,903,171,688,658,462,564,
599,760,501,423,602,476,739,553,838,649,767,135,623,845,943,171,100,998,084,
337,747,842,865,840,431,912,555,200,321,435,244,856,791,052,126,595,332,684,
130,735,982,043,895,211,649,809,500,370,080,616,649,037,772,915,315,095,531,
819,449,069,953,228,251,582,429,205,149,991,975,029,993,918,061,713,790,045,
054,427,870,504,514,440,474,152,710,172,184,664,144,686,136,876,647,968,786,
644,020,742,877,762,481,332,012,587,072,162,645,982,954,497,048,364,357,933,
040,190,758,424,730,438,717,551,743,352,616,611,261,641,771,114,653,416,229,
008,153,606,668,524,033,111,966,469,503,041,567,677,492,640,798,554,026,646,
249,155,675,643,461,228,461,316,971,519,359,603,348,875,688,735,095,581,015,
749,773,220,985,080,688,920,951,772,577,202,817,544,691,511,029,625,447,204,
316,283,414,765,008,691,895,349,339,090,211,740,624,950,842,201,501,620,421,
118,044,619,559,980,300,455,349,285,349,353,313,385,183,167,357,529,850,628,
253,291,359,218,135,666,489,999,666,291,105,546,285,828,873,199,584,629,365,
224,089,826,030,790,404,102,921,629,040,077,002,410,412,753,373,379,418,055,
205,514,220,231,271,042,737,400,519,437,457,223,675,378,222,928,317,677,726,
688,717,130,197,891,720,137,637,001,545,002,399,180,784,283,344,539,017,762,
495,730,365,663,398,929,563,077,441,391,854,121,474,617,406,457,803,355,726,
825,217,182,550,246,214,083,260,258,562,921,278,315,705,258,840,614,574,851,
578,653,469,324,711,151,485,224,777,058,286,964,829,065,944,941,749,214,180,
620,748,258,002,829,059,443,049,259,060,662,793,195,873,153,398,753,309,120,
831,594,091,480,344,958,656,922,080,781,118,273,236,866,733,487,286,502,526,
126,289,969,616,848,501,460,145,999,275,494,539,363,454,762,545,952,442,641,
233,558,458,143,928,956,597,737,809,534,176,838,657,243,567,154,357,084,448,
878,142,378,679,147,128,650,874,227,720,489,230,752,257,764,256,734,358,668,
486,491,535,598,887,812,942,398,530,506,532,328,892,261,412,486,808,493,060,
076,842,099,500,357,258,285,509,320,643,724,745,368,597,654,569,033,448,057,
171,909,004,028,696,553,572,899,697,615,354,609,252,728,684,463,776,963,752,
934,863,127,953,784,265,414,500,086,900,276,790,714,667,508,163,573,193,876,
194,180,664,132,612,630,838,957,707,109,706,797,799,106,682,986,336,556,042,
949,412,311,215,129,618,688,282,567,361,134,521,022,671,857,575,594,774,928,
278,724,815,715,113,362,644,655,167,391,286,378,185,684,296,262,126,651,176,
081,464,730,906,148,557,760,053,069,999,888,663,569,224,363,230,331,727,371,
891,743,947,008,582,824,127,728,444,276,130,913,479,854,205,930,204,169,439,
405,340,097,065,812,440,330,141,315,969,241,182,474,238,394,746,900,430,293,
932,610,220,969,565,564,216,160,172,885,417,276,672,122,849,650,065,128,962,
644,533,345,541,334,026,230,091,840,042,768,074,660,454,834,091,694,136,524,
110,619,651,795,293,212,062,082,423,399,859,056,656,878,927,651,322,099,328,
030,825,863,778,482,046,926,379,952,466,933,016,632,381,224,063,743,748,633,
618,412,181,583,356,443,187,725,404,366,862,511,519,233,008,638,388,865,040,
149,994,474,167,254,087,327,157,905,373,268,432,202,898,841,213,985,265,820,
058,599,040,264,082,294,956,530,919,828,450,826,875,833,358,341,166,616,814,
562,217,808,663,364,494,082,427,650,644,585,002,734,810,499,467,742,896,734,
183,016,211,531,323,371,486,782,670,225,522,240,937,960,162,452,614,677,573,
671,083,407,957,617,810,546,521,090,858,112,098,047,704,052,618,952,271,755,
524,242,210,563,995,306,754,993,530,446,102,572,951,966,475,466,467,714,655,
330,573,220,542,152,093,959,772,555,018,004,008,840,970,166,242,654,046,903,
870,793,844,980,658,421,211,099,904,570,726,662,151,335,755,874,542,714,927,
459,818,855,805,873,389,849,650,794,475,419,880,233,363,178,239,468,750,683,
133,469,156,761,157,454,915,490,978,506,490,315,839,108,683,803,482,459,636,
183,554,200,693,570,296,841,145,593,595,706,774,299,392,417,913,363,461,235,
108,914,980,876,459,598,693,094,643,789,579,672,959,199,339,370,610,670,024,
923,836,958,324,662,518,033,132,879,662,632,992,925,591,345,993,263,586,615,
534,763,850,812,636,501,813,405,699,728,017,485,408,402,779,551,999,772,906,
054,915,373,593,226,896,899,577,775,745,097,259,066,310,549,739,231,365,916,
038,816,550,064,962,944,589,980,949,420,846,340,258,818,618,536,800,786,974,
179,673,965,866,545,470,985,440,816,697,184,587,814,448,101,364,821,989,322,
919,920,719,612,408,529,231,801,556,991,081,335,335,941,815,871,819,594,420,
263,699,357,615,735,168,977,396,656,087,780,503,691,335,397,353,318,231,861,
717,048,486,658,681,643,710,141,156,289,924,494,028,443,615,372,335,421,328,
987,330,411,256,825,522,882,423,041,022,661,637,866,031,925,632,460,717,169,
190,299,618,962,149,959,014,356,678,058,219,962,895,865,543,490,329,119,060,
966,455,259,170,392,714,264,303,896,281,315,763,710,523,717,577,560,649,942,
725,693,282,639,754,763,099,039,849,896,657,874,130,180,424,431,168,733,229,
240,526,565,819,514,638,645,767,382,514,099,828,993,986,826,290,275,492,059,
414,131,141,502,339,842,243,478,351,844,945,867,983,964,544,834,963,084,745,
893,405,583,108,208,920,993,276,255,481,302,355,185,120,351,837,661,074,367,
444,868,942,856,604,118,127,199,835,756,025,555,232,786,501,419,519,620,320,
858,484,592,128,096,715,241,070,444,686,962,197,379,932,763,486,266,344,072,
844,608,431,752,571,538,683,227,162,105,107,747,583,588,741,881,595,607,638,
823,002,687,084,954,348,447,464,875,369,945,227,086,526,826,975,785,728,196,
980,184,311,049,192,975,281,964,352,674,255,155,521,036,445,157,434,011,110,
725,002,418,273,169,569,530,223,523,962,770,708,661,213,451,037,898,929,489,
890,615,616,895,942,083,702,556,088,647,736,424,027,723,964,257,466,283,282,
110,335,542,826,756,873,282,392,853,730,244,787,214,008,632,061,712,984,734,
996,193,280,426,791,246,235,282,820,518,097,596,420,777,432,117,790,189,818,
731,316,266,837,788,074,842,200,231,381,847,619,677,559,267,893,500,084,521,
677,818,041,545,553,768,360,739,377,047,328,585,561,010,865,183,795,858,851,
954,601,875,454,147,857,940,311,009,582,286,757,239,438,346,902,912,376,949,
009,029,113,012,511,720,088,673,818,209,243,310,062,936,027,044,829,328,385,
212,014,890,257,157,594,182,011,556,230,357,891,988,355,653,930,676,948,895,
332,766,787,477,144,811,337,731,494,890,020,159,932,921,545,746,666,605,352,
893,603,776,022,373,654,720,219,059,652,133,552,594,148,737,655,858,199,109,
959,782,820,102,819,540,930,855,221,688,017,668,780,417,523,981,970,172,299,
044,644,839,166,028,589,364,326,987,254,403,007,399,028,902,566,656,612,330,
882,359,968,095,614,717,531,089,368,855,390,075,547,872,631,681,219,531,215,
053,226,081,986,751,149,933,641,506,648,540,400,753,023,080,473,808,982,222,
556,630,346,347,336,613,481,662,482,944,692,972,384,262,070,920,039,479,946,
349,542,385,186,338,233,995,835,723,826,069,903,730,305,777,160,806,281,567,
087,740,673,908,470,436,395,727,033,626,314,781,263,936,301,666,336,145,430,
149,065,293,191,147,424,609,923,761,105,877,085,384,170,747,876,669,404,188,
956,167,165,989,951,677,535,013,602,837,847,505,218,408,796,947,313,324,035,
196,708,329,023,512,770,209,116,863,403,781,816,725,560,301,164,343,733,775,
696,620,032,945,920,169,482,006,896,054,800,570,859,328,941,894,254,732,428,
817,207,791,370,359,884,422,056,064,153,475,515,102,886,503,925,347,739,303,
237,448,558,173,229,431,702,115,534,955,729,669,238,551,747,749,615,098,543,
502,321,231,894,139,534,057,734,540,277,959,868,416,602,095,166,692,640,530,
488,292,918,763,485,596,736,711,295,632,590,150,729,279,798,143,679,579,843,
044,684,356,666,632,785,688,353,897,072,157,897,018,822,026,088,189,260,560,
176,056,601,168,595,070,551,991,977,847,178,839,828,062,693,781,825,172,813,
702,951,316,412,785,226,536,929,749,457,859,573,422,790,814,940,176,901,113,
725,278,273,871,875,269,420,155,821,094,193,679,890,050,962,267,744,075,481,
524,761,887,907,094,178,560,407,306,494,307,901,657,903,997,312,103,186,166,
775,444,250,742,179,063,790,817,175,315,693,306,467,081,223,649,862,392,528,
796,387,444,331,796,516,754,117,356,797,145,157,420,914,747,255,961,395,386,
671,963,897,298,016,527,795,037,704,577,296,372,375,464,367,017,748,604,161,
373,647,280,497,536,947,276,595,834,622,355,431,823,653,070,192,229,221,448,
756,172,977,366,979,690,436,182,662,293,213,177,848,037,902,783,888,356,625,
829,006,642,420,602,354,530,424,179,996,237,895,861,788,355,613,293,470,644,
208,946,918,919,799,081,151,809,396,914,695,837,282,919,456,910,259,720,251,
206,269,347,927,517,327,328,205,355,963,482,117,415,442,018,216,728,835,575,
868,861,423,680,332,896,834,581,338,337,931,156,684,072,600,504,439,245,782,
871,193,012,451,938,765,570,474,645,206,495,694,486,659,104,189,240,514,040,
354,365,633,396,533,966,465,844,832,174,473,420,176,790,796,837,374,044,090,
836,922,591,149,662,510,263,600,695,159,676,520,674,184,894,622,624,943,547,
323,386,145,773,071,193,237,974,096,525,810,269,564,357,323,317,436,030,065,
870,237,968,117,109,517,313,709,178,691,925,805,475,264,840,245,396,674,206,
499,221,944,799,721,642,558,389,956,418,880,116,811,916,111,449,450,109,103,
259,841,485,855,034,910,461,976,914,297,226,628,125,966,186,107,720,679,568,
165,760,487,165,022,215,989,567,308,555,723,353,330,365,185,232,949,946,517,
167,885,367,938,665,316,932,253,598,185,248,186,548,009,056,382,854,854,074,
649,809,916,281,709,845,403,886,218,224,043,674,538,101,918,321,859,554,204,
955,426,317,528,289,626,534,099,074,756,746,184,859,498,661,808,248,592,809,
229,324,812,796,359,641,596,242,658,776,260,469,846,261,616,076,051,438,840,
893,978,569,078,865,260,894,372,153,483,184,590,595,808,335,716,290,911,847,
596,983,088,228,198,864,426,094,474,205,476,526,574,426,476,410,034,695,128,
668,184,347,867,986,050,864,962,024,399,467,559,238,889,391,294,122,508,450,
233,347,641,187,213,202,904,552,945,431,182,149,702,784,038,736,622,532,180,
137,035,983,293,654,536,741,662,562,908,890,396,148,650,678,720,970,461,170,
573,810,953,440,037,529,436,927,792,128,148,207,816,599,610,906,548,721,960,
640,104,837,222,954,361,645,579,273,993,107,386,771,403,718,244,922,456,395,
094,767,360,323,329,644,901,079,308,489,336,676,267,571,944,224,583,280,224,
730,662,479,818,146,739,915,785,519,405,364,274,182,055,921,896,618,022,240,
358,745,449,931,743,871,602,502,181,164,234,558,512,895,551,612,175,539,012,
433,370,105,221,148,219,557,632,890,929,656,535,803,309,938,529,244,549,536,
760,598,211,258,765,944,664,207,599,754,145,998,911,882,110,234,127,475,947,
011,184,841,420,572,970,729,571,180,983,831,270,623,891,153,484,256,487,977,
841,814,324,379,498,849,035,624,805,482,886,633,703,009,334,753,156,204,151,
091,493,605,607,747,065,672,792,487,380,859,451,317,651,009,122,555,759,238,
454,270,257,426,330,975,254,540,709,881,030,738,638,349,213,390,555,876,902,
188,158,395,014,351,068,897,186,468,426,150,664,238,973,862,903,995,103,031,
718,668,887,228,190,838,158,855,735,772,227,432,015,777,916,839,691,725,154,
972,461,572,357,330,289,285,781,707,175,942,078,099,141,790,950,684,749,387,
324,827,074,761,107,970,572,290,849,353,719,194,784,910,286,876,930,539,170,
391,037,892,973,098,186,405,414,009,874,770,023,178,004,855,592,975,819,903,
674,015,150,281,133,173,601,041,536,893,454,245,073,946,617,597,593,396,043,
103,258,077,966,944,704,990,257,325,862,214,393,254,814,410,047,338,628,609,
626,441,300,990,402,741,502,720,147,346,990,251,160,686,838,430,857,458,476,
165,300,063,570,105,478,171,466,174,346,658,029,310,377,136,294,914,656,594,
565,122,518,235,175,794,399,352,747,380,767,679,218,038,229,934,602,706,487,
639,772,509,670,461,363,621,969,075,103,462,289,012,905,075,113,704,087,035,
867,911,488,974,735,485,493,218,924,810,442,343,625,766,514,395,242,128,716,
551,078,707,161,347,523,570,144,271,927,613,121,292,546,600,766,121,445,285,
912,988,511,941,922,282,717,866,971,646,294,493,725,582,397,420,556,144,034,
581,096,766,679,302,523,221,222,774,761,161,219,447,557,208,573,532,711,420,
176,575,238,923,227,841,114,145,158,318,751,577,144,674,456,333,838,690,230,
766,782,078,438,127,094,229,752,005,246,530,556,523,866,277,323,502,545,807,
361,187,591,137,355,779,473,031,592,555,801,788,000,746,955,810,937,432,923,
817,850,781,771,137,874,302,554,110,124,344,664,595,047,909,732,686,437,012,
305,774,648,386,495,055,230,114,954,834,412,302,768,604,052,304,556,563,426,
450,524,942,205,119,221,410,238,289,187,362,171,709,715,738,807,421,359,506,
593,475,092,027,169,404,268,161,584,180,236,414,932,349,519,404,496,030,876,
279,592,325,024,294,599,348,422,104,474,719,368,875,059,213,975,462,275,682,
979,799,580,300,631,813,822,236,766,073,854,122,170,117,967,434,469,424,868,
397,165,188,304,706,249,748,693,999,585,228,849,639,564,380,436,735,030,882,
988,539,282,006,528,612,850,648,676,663,716,067,368,998,831,275,533,408,420,
070,353,301,134,321,078,844,389,222,369,429,018,660,450,910,706,735,077,217,
102,655,605,368,603,920,887,895,110,338,348,681,292,614,680,121,524,714,434,
133,573,612,892,959,373,074,515,610,964,279,944,388,649,680,457,853,681,269,
631,362,800,155,967,561,837,429,238,330,089,205,183,334,431,446,316,933,523,
955,561,416,642,971,205,977,219,041,778,358,053,577,731,688,099,881,574,384,
727,627,025,883,680,190,361,820,599,136,374,944,497,898,224,287,375,111,595,
681,967,899,902,144,869,137,062,673,469,927,613,869,270,587,137,279,767,858,
109,712,570,212,294,958,887,909,180,914,446,822,661,641,185,141,753,065,544,
246,467,362,102,840,103,062,078,968,541,542,276,441,343,128,758,177,121,675,
128,264,834,920,520,986,348,070,299,312,663,486,604,882,238,840,678,338,979,
209,120,536,831,305,515,778,429,806,004,839,779,463,343,191,333,939,759,509,
559,383,062,823,415,904,852,012,916,601,428,579,821,587,650,804,218,609,977,
391,145,552,718,104,045,195,531,233,312,788,226,968,495,157,734,739,548,466,
295,329,370,708,835,538,950,347,989,737,982,079,899,112,841,603,097,015,677,
873,201,311,275,158,220,360,717,394,332,750,450,191,425,774,068,364,331,484,
731,229,364,731,000,785,169,562,414,092,436,959,581,995,961,351,312,536,766,
580,215,375,492,474,851,721,069,518,459,632,987,666,598,779,099,642,165,921,
996,212,142,942,499,966,235,405,586,707,287,508,897,297,632,699,392,386,173,
212,033,043,265,274,688,301,414,827,578,333,196,838,022,470,736,313,422,199,
711,366,305,591,947,447,990,171,233,237,990,893,494,045,267,824,619,661,492,
177,832,523,791,528,919,726,528,369,148,781,996,995,412,412,278,654,208,762,
575,930,261,808,974,291,126,012,815,593,471,103,287,666,952,513,531,653,048,
675,847,649,161,626,168,622,972,832,678,127,686,749,937,042,323,144,139,719,
644,480,871,979,672,476,495,440,917,219,487,824,055,827,689,947,556,012,326,
599,907,954,651,071,575,689,584,872,871,962,254,048,708,064,788,400,554,796,
323,535,573,148,664,823,137,622,837,294,953,041,543,463,049,668,777,231,125,
760,905,497,636,725,100,753,847,373,589,782,670,024,514,748,553,146,349,639,
809,908,472,579,219,767,580,054,291,916,961,583,576,526,149,475,287,148,273,
183,493,892,790,252,285,148,472,303,689,747,216,729,047,803,101,903,333,407,
017,384,974,973,940,988,267,238,474,617,108,023,756,140,460,661,862,884,533,
721,323,303,597,461,510,438,716,970,904,434,334,766,107,364,557,083,394,022,
188,519,752,870,603,069,113,167,894,356,819,037,853,380,859,342,411,587,783,
453,611,541,925,988,934,372,144,926,510,953,022,369,132,591,146,903,426,028,
260,086,120,571,141,165,936,324,446,667,208,551,501,513,453,443,173,146,420,
024,384,475,918,650,607,900,070,139,678,086,191,893,863,261,288,842,473,976,
664,748,814,148,153,146,459,557,968,896,089,909,222,426,496,788,348,754,368,
246,689,960,651,432,094,553,995,619,026,225,282,278,777,678,126,706,153,905,
644,177,633,598,939,882,004,167,726,972,179,605,310,247,795,629,203,386,938,
279,797,292,600,798,449,111,958,554,578,040,340,352,467,352,742,515,333,158,
522,301,866,348,801,937,063,000,103,382,383,867,942,294,078,356,953,155,033,
199,929,178,748,003,053,192,574,669,580,878,664,392,844,376,379,202,574,492,
005,788,223,951,090,576,740,591,931,434,914,812,176,921,327,422,806,462,335,
183,532,177,724,638,087,814,950,029,211,040,398,035,570,338,832,600,745,071,
660,230,254,302,762,164,885,499,607,815,184,709,578,186,965,395,433,907,107,
213,546,622,782,763,605,946,115,732,059,296,961,290,498,773,717,641,712,850,
872,112,228,284,428,452,084,410,669,503,416,575,939,756,826,590,418,797,355,
849,545,261,089,321,331,254,024,936,864,894,317,249,862,936,935,227,864,439,
147,226,240,825,426,285,599,095,064,735,801,872,288,027,067,719,358,522,173,
685,440,625,760,668,334,613,482,122,662,112,868,155,586,761,046,069,039,564,
897,707,677,061,589,294,319,080,077,860,633,126,289,570,310,191,948,154,114,
492,620,097,227,463,017,223,279,401,516,196,780,626,269,687,408,561,993,904,
669,240,560,584,632,931,843,922,110,761,745,246,259,129,366,093,508,042,879,
229,479,588,756,137,635,152,310,332,291,275,257,355,422,673,918,860,292,653,
151,706,775,301,283,551,811,053,075,453,950,249,789,223,899,238,160,274,677,
727,191,287,093,358,882,401,584,725,916,035,794,980,744,908,688,833,833,625,
109,365,391,415,270,645,798,879,066,935,461,655,800,450,297,858,395,362,493,
489,638,873,025,168,965,802,978,981,765,407,026,236,860,483,435,575,259,376,
237,397,971,145,583,533,614,425,065,143,315,884,029,280,976,365,365,611,065,
000,767,926,788,051,123,591,550,662,696,311,095,040,183,277,090,456,559,834,
335,389,662,337,841,831,327,031,673,260,188,043,808,936,521,184,452,276,378,
333,871,802,352,371,383,436,298,161,971,819,719,809,433,655,481,577,189,885,
580,358,440,651,623,068,626,564,432,718,497,507,225,741,660,553,305,057,402,
289,663,384,389,874,158,159,973,714,096,627,694,315,278,706,483,234,209,832,
776,594,413,180,947,861,139,826,087,556,461,323,076,890,359,685,093,883,836,
272,527,147,893,464,199,954,841,487,538,900,646,036,715,204,677,044,703,006,
477,739,154,149,314,353,606,064,265,728,630,448,955,114,201,066,569,475,686,
079,430,764,712,576,344,587,129,444,950,676,012,794,844,827,971,074,619,754,
950,308,144,589,603,631,118,798,265,974,175,543,929,634,891,637,584,542,444,
591,113,608,098,927,154,996,822,454,696,139,540,425,377,784,540,081,091,258,
949,397,071,496,482,940,203,397,776,044,113,009,376,635,431,765,308,724,890,
203,419,886,425,304,519,727,762,135,511,481,115,993,561,795,315,379,662,915,
968,496,573,056,000,938,734,907,124,581,943,269,213,864,049,702,648,453,182,
815,124,536,548,580,129,920,490,846,316,273,339,616,941,068,301,092,900,510,
832,307,898,774,032,040,813,303,419,399,747,911,206,467,623,103,826,184,627,
466,101,455,335,761,353,372,371,397,299,010,006,328,652,823,087,189,224,926,
021,376,130,727,627,640,925,903,939,838,718,251,547,881,972,996,200,775,805,
823,229,586,478,638,975,088,883,865,310,937,494,770,687,505,950,063,605,526,
489,947,472,583,971,867,022,910,011,406,818,947,981,723,893,749,174,427,810,
131,204,347,187,013,249,873,068,085,494,680,852,198,735,478,523,906,731,084,
247,320,343,179,829,456,337,940,431,535,286,125,328,943,521,881,834,246,588,
267,298,610,474,881,060,323,886,799,194,125,822,551,406,609,874,239,586,879,
913,825,510,952,445,864,074,946,522,813,111,539,576,114,028,395,092,886,101,
053,663,815,847,972,227,578,967,505,817,533,554,305,598,075,972,306,946,553,
335,681,004,228,816,802,457,465,278,892,190,953,213,765,117,069,448,179,752,
102,265,009,368,608,754,211,625,801,414,362,078,507,198,379,133,674,385,537,
667,943,767,614,127,890,283,168,767,275,688,267,517,868,970,928,215,041,273,
240,700,027,247,614,576,274,445,969,752,312,368,462,445,531,126,026,343,264,
385,999,390,085,080,655,769,818,222,708,972,028,745,597,680,230,525,917,462,
479,940,869,476,487,519,769,707,594,227,883,674,490,282,910,601,076,661,626,
421,885,457,148,346,321,312,175,354,790,268,103,989,711,337,333,701,251,335,
180,231,643,224,965,028,053,552,218,912,698,170,803,694,083,746,954,357,675,
678,949,280,587,937,647,550,155,252,494,281,194,236,405,607,591,423,778,525,
964,971,881,267,925,320,711,527,546,550,213,010,005,531,852,303,956,734,994,
884,082,528,010,861,019,535,850,954,116,647,847,477,575,296,141,839,095,616,
498,276,189,257,264,404,427,003,498,861,945,515,752,484,633,644,990,061,872,
666,241,571,538,373,244,127,109,940,530,917,324,751,784,609,554,657,405,576,
913,646,690,202,567,297,763,507,493,685,593,497,905,465,629,208,490,392,989,
960,907,079,605,767,710,410,861,801,304,774,275,100,687,187,619,160,796,167,
919,325,586,864,503,991,612,934,113,219,750,437,232,259,574,100,051,384,433,
710,635,518,223,412,031,079,082,339,723,627,898,031,090,949,917,750,179,037,
309,746,696,569,930,675,433,784,311,681,145,908,040,617,376,327,540,536,233,
564,009,294,589,265,931,263,063,703,585,906,284,747,286,456,069,164,158,928,
610,744,275,648,260,818,366,843,259,802,994,041,028,116,380,275,612,884,217,
394,326,788,939,082,167,711,664,660,696,191,803,314,575,568,718,166,914,425,
139,465,625,893,296,375,674,754,643,782,513,305,621,864,762,256,062,553,505,
891,359,544,446,997,335,426,665,516,086,148,638,052,636,864,157,819,316,042,
080,830,501,227,868,497,669,379,863,582,641,384,616,289,297,492,463,131,160,
910,628,594,126,783,319,264,613,400,170,965,554,659,507,974,675,095,838,098,
925,800,251,286,450,438,349,907,419,697,386,863,893,884,551,054,073,272,277,
060,415,276,007,156,459,511,664,349,729,064,404,956,824,475,764,258,353,932,
276,475,418,153,640,962,707,707,898,564,606,649,045,140,972,300,757,284,932,
592,100,657,066,216,864,157,879,331,413,701,922,010,100,525,300,736,336,758,
005,135,428,765,644,659,483,926,674,353,242,368,168,743,451,384,264,472,115,
812,135,790,296,942,151,516,164,720,378,402,179,417,525,061,025,240,234,055,
096,066,803,231,133,411,911,249,538,720,371,423,062,471,600,993,934,574,484,
250,375,141,673,943,088,549,790,862,284,333,277,769,135,863,409,617,930,567,
149,583,768,300,984,971,566,741,752,204,007,269,441,817,894,426,427,795,260,
785,924,962,472,851,341,135,423,907,518,676,966,453,387,036,764,447,720,935,
352,643,107,664,120,431,460,568,089,283,718,957,771,734,482,085,139,599,121,
247,597,770,852,827,070,991,054,316,866,020,453,026,361,239,466,503,237,279,
688,823,023,816,916,802,044,067,232,488,134,790,019,235,266,160,109,001,191,
576,884,996,136,719,784,364,495,880,684,162,335,862,928,729,723,203,911,974,
887,317,722,765,730,188,104,721,053,918,545,660,432,663,587,386,649,492,927,
282,925,065,369,388,959,446,319,801,130,486,737,671,824,124,303,111,357,654,
811,109,493,120,204,470,497,124,394,274,453,292,237,445,682,438,146,630,200,
682,140,967,390,504,293,060,748,200,959,139,221,286,876,905,485,718,814,223,
267,023,111,030,961,565,250,140,213,163,890,781,609,439,696,946,980,438,667,
404,556,581,616,432,556,660,664,262,685,039,859,250,561,526,563,327,722,545,
516,492,487,465,656,444,005,795,695,873,309,158,249,051,061,151,399,775,794,
940,849,320,533,059,109,168,928,696,481,364,922,157,776,088,165,049,418,645,
358,228,249,148,264,296,259,148,371,905,538,454,575,537,103,158,838,838,940,
158,955,567,005,598,323,942,717,031,296,935,163,820,525,780,348,181,812,705,
426,765,906,733,245,875,484,935,605,076,823,429,048,401,105,593,780,551,493,
268,026,048,202,514,409,129,240,418,935,768,708,450,933,556,974,199,053,419,
226,025,693,207,853,667,917,147,564,326,194,620,940,807,641,317,306,630,269,
879,986,394,337,635,939,931,573,911,492,305,499,202,557,070,169,501,178,894,
320,721,147,064,073,696,627,757,624,377,656,043,943,372,150,211,245,032,338,
463,897,511,229,619,346,247,997,521,404,173,294,770,365,130,379,714,883,173,
267,417,707,187,299,834,802,446,859,659,583,961,393,364,178,797,160,521,080,
028,096,801,965,949,592,457,629,122,708,241,119,215,468,662,600,401,073,627,
932,006,235,414,522,373,559,374,069,481,838,524,576,372,388,561,438,271,637,
831,739,490,588,159,584,788,942,482,601,846,997,888,459,073,176,808,524,615,
164,933,239,378,284,696,586,615,459,876,875,985,036,033,830,332,897,189,009,
972,096,970,966,992,606,624,410,602,522,161,913,549,005,667,290,388,456,249,
134,353,761,340,495,760,299,570,579,748,142,896,731,124,660,921,500,324,310,
003,227,135,350,665,218,556,196,679,753,879,939,788,155,950,894,603,347,762,
983,523,639,106,579,328,772,820,355,141,240,102,378,930,594,516,211,633,686,
468,528,595,048,555,973,686,423,374,279,003,421,699,790,150,828,028,237,818,
726,165,422,749,378,125,779,974,562,944,339,759,947,011,399,569,169,260,581,
866,321,059,785,161,260,171,343,681,941,681,432,664,154,816,641,604,935,652,
951,309,351,449,111,657,695,019,420,558,678,914,899,396,884,505,692,220,942,
798,748,567,778,539,129,498,866,923,902,765,519,115,186,485,636,747,604,555,
485,770,510,095,742,648,944,693,227,619,805,439,175,560,996,810,878,175,533,
382,755,281,505,518,664,625,492,698,931,410,359,344,834,171,030,818,711,546,
817,131,151,093,943,605,944,368,297,635,374,243,409,653,026,803,102,444,766,
969,494,810,033,925,883,001,371,148,368,671,842,671,445,478,061,871,294,300,
703,466,933,385,301,512,107,504,717,644,487,833,576,455,660,884,877,298,797,
971,945,770,143,614,102,253,924,983,091,364,952,400,346,704,211,782,691,998,
821,598,587,797,353,161,162,580,226,609,015,389,115,223,356,500,080,892,958,
834,016,706,186,147,276,477,165,826,743,532,115,897,821,859,554,207,856,599,
810,298,660,927,179,551,867,647,363,094,036,693,412,280,095,863,752,997,050,
438,194,251,942,536,377,031,302,506,392,806,392,437,332,525,398,464,524,231,
019,190,584,577,603,195,013,569,598,751,541,643,841,930,315,600,008,801,473,
429,445,462,812,296,550,162,498,848,886,479,630,064,367,713,908,369,436,816,
146,354,138,011,475,055,754,577,251,171,947,198,981,737,694,703,527,971,826,
251,078,115,635,660,911,891,681,926,930,415,908,973,960,074,040,889,809,290,
729,992,622,677,278,186,125,129,744,793,663,606,959,017,550,277,897,680,044,
579,889,283,491,024,177,875,034,107,354,241,538,241,108,412,073,229,197,020,
530,185,120,273,770,144,219,908,709,144,918,572,167,813,689,279,121,362,670,
069,225,702,309,568,879,433,683,033,009,401,953,957,267,405,749,449,765,419,
972,672,678,803,128,022,878,443,753,579,199,165,754,847,261,426,149,334,264,
489,964,714,218,992,549,858,552,129,873,348,751,341,391,357,017,068,820,747,
140,171,924,662,736,069,552,045,274,621,594,178,669,925,205,426,179,372,761,
253,357,370,847,589,427,749,348,948,985,397,569,948,097,170,023,014,022,209,
395,187,703,465,311,096,628,267,642,680,732,989,417,728,453,075,873,952,543,
622,950,699,685,983,542,729,907,976,839,421,966,549,663,178,823,145,676,638,
789,558,171,641,268,732,601,233,801,705,475,017,475,470,821,571,912,213,473,
999,901,406,110,501,924,796,134,292,034,495,746,222,683,269,614,136,438,677,
351,468,788,632,495,336,729,222,684,911,849,203,911,641,522,821,493,876,318,
466,897,174,615,904,992,861,475,661,635,085,239,942,426,132,321,938,582,286,
826,908,335,015,786,390,048,819,781,434,950,593,653,545,700,583,162,012,787,
964,528,421,029,769,150,920,217,938,894,539,817,970,637,871,844,945,164,535,
676,961,913,034,456,957,863,829,973,363,790,153,618,137,324,888,825,280,264,
993,730,951,891,068,926,554,708,550,416,272,132,064,481,377,392,604,122,419,
235,525,752,617,278,980,733,986,264,903,322,401,823,897,553,643,017,465,720,
182,764,478,208,290,032,552,748,700,153,543,719,454,439,499,536,626,206,869,
216,760,756,641,954,871,203,008,329,800,825,879,477,369,812,452,263,947,267,
065,853,128,725,415,974,626,471,201,807,529,691,543,780,739,560,095,307,887,
252,312,041,053,872,685,204,825,949,278,223,879,329,755,511,236,455,498,788,
307,460,408,918,538,941,858,118,509,567,590,261,778,296,401,880,911,609,120,
880,392,886,764,402,689,766,536,831,790,929,327,878,186,623,465,025,185,188,
810,378,986,588,491,110,570,361,492,344,162,574,848,276,161,732,789,464,432,
140,344,727,016,684,378,182,788,304,492,954,242,775,620,305,133,176,797,112,
092,204,558,019,949,295,796,493,003,064,227,626,206,066,581,552,715,516,820,
423,269,161,208,308,189,249,620,830,706,224,018,660,350,084,361,043,704,070,
501,382,833,271,903,353,425,219,172,633,537,543,399,558,322,544,359,257,223,
459,447,903,439,883,517,253,331,189,079,386,251,962,929,665,071,221,284,492,
068,535,608,723,535,180,546,274,426,262,640,343,657,639,893,715,008,943,336,
279,996,834,939,362,927,467,047,293,617,557,116,835,855,821,041,263,004,028,
531,666,854,782,188,366,023,450,593,106,790,674,739,683,840,348,860,899,782,
320,532,104,317,910,539,745,400,291,314,573,390,090,559,362,154,544,908,013,
306,037,724,444,052,572,516,427,248,492,295,297,751,389,009,427,929,571,245,
160,435,508,997,510,294,209,023,657,618,921,424,017,369,500,364,042,303,518,
516,233,570,595,956,743,911,407,097,091,964,852,607,175,594,494,378,618,808,
636,117,453,428,653,917,536,907,451,790,283,794,708,565,723,212,656,201,923,
856,690,054,181,099,808,416,914,188,168,123,147,661,542,647,466,675,678,136,
891,857,434,738,539,953,623,359,641,503,411,576,832,681,440,459,672,219,643,
174,921,884,687,550,103,259,708,741,276,793,182,421,218,823,985,559,919,041,
380,245,686,535,677,250,267,476,712,207,597,196,187,565,465,840,059,644,264,
724,157,348,437,779,685,235,559,973,709,211,281,271,736,083,985,603,845,346,
037,358,657,262,949,623,150,470,679,378,920,792,550,650,824,132,718,241,928,
696,604,258,762,701,877,786,263,372,600,235,881,343,387,693,075,332,484,459,
015,141,219,997,389,654,362,579,886,593,954,233,461,708,183,487,992,131,795,
336,504,373,882,922,796,484,145,226,546,872,741,187,533,482,009,025,096,120,
472,744,975,105,732,451,400,200,594,429,667,633,010,059,875,832,426,977,292,
825,781,180,079,094,042,904,806,176,238,366,906,454,630,339,604,422,794,576,
254,537,822,105,498,738,020,155,452,868,637,363,028,204,287,787,907,723,726,
669,529,806,466,883,309,603,934,240,200,963,008,827,556,439,867,496,794,585,
000,803,253,194,885,100,084,169,914,817,164,700,708,837,645,330,846,433,538,
491,234,979,175,481,576,509,740,172,505,414,592,434,600,275,868,544,475,986,
980,069,103,566,021,506,435,585,081,218,081,261,529,949,632,926,004,395,674,
250,294,949,337,650,842,455,768,966,059,799,238,466,985,493,761,898,020,383,
609,757,775,384,489,229,390,115,950,479,729,451,492,592,367,254,995,512,784,
643,004,138,289,257,776,460,104,398,433,530,944,941,350,327,046,284,906,192,
995,229,675,059,329,871,640,321,537,735,326,924,476,398,953,677,155,518,204,
321,631,239,475,144,039,066,883,444,402,222,288,101,252,537,460,472,719,550,
848,227,489,103,546,381,622,372,260,346,696,720,112,195,455,557,740,703,623,
267,384,172,604,586,830,506,391,108,397,500,794,436,668,820,626,940,760,447,
690,631,331,865,600,366,810,845,133,055,403,500,350,349,808,044,850,514,179,
140,612,860,874,935,661,522,424,762,950,763,317,287,963,997,619,586,614,941,
294,359,529,752,262,463,542,326,185,466,033,815,006,243,214,488,297,863,449,
972,320,343,797,415,379,590,107,869,127,131,457,318,211,284,439,891,591,415,
998,626,449,039,249,045,335,742,698,988,592,329,586,897,427,880,590,303,357,
188,730,536,485,511,205,780,457,217,364,688,393,215,735,028,550,481,340,713,
234,379,755,335,873,591,031,457,409,717,577,838,527,302,043,628,590,491,800,
467,018,600,124,509,634,179,419,389,495,507,928,465,774,613,717,868,745,526,
862,267,977,241,480,349,743,780,857,265,823,152,111,572,977,298,269,030,570,
338,643,351,073,438,255,836,471,324,664,469,910,333,813,140,888,479,563,394,
197,735,046,483,156,527,096,394,078,577,326,364,800,379,010,983,283,904,458,
434,912,693,850,896,078,285,506,206,528,191,743,241,962,816,532,802,725,992,
466,642,526,359,003,384,174,797,274,297,333,921,374,386,621,055,306,842,003,
319,902,653,386,654,075,495,030,087,118,105,091,674,890,142,831,286,199,830,
346,707,498,292,883,388,999,096,676,241,518,786,030,430,028,021,511,484,891,
872,162,739,000,894,281,286,784,588,301,530,498,124,494,945,525,301,746,820,
688,006,909,658,519,895,778,917,299,525,488,543,465,876,263,756,593,183,308,
500,066,987,611,989,886,815,211,588,353,168,292,313,927,115,816,762,765,795,
669,554,411,080,932,321,851,719,502,617,502,971,114,322,021,926,288,054,881,
028,039,778,365,833,052,470,418,237,404,699,922,405,607,413,343,476,575,471,
664,182,285,420,422,540,503,852,044,711,424,576,409,458,252,895,125,485,568,
371,757,800,800,888,474,619,355,600,408,295,004,996,838,363,634,781,488,666,
605,497,403,333,323,787,851,596,821,032,925,408,993,811,231,086,709,105,830,
864,548,229,302,590,758,627,663,921,821,582,604,646,968,460,443,956,647,181,
354,208,503,551,895,651,841,460,793,628,094,958,909,939,692,606,268,052,164,
315,165,198,166,861,160,712,503,108,309,614,105,905,164,728,373,898,034,225,
235,416,762,733,761,108,844,758,177,528,844,643,098,315,038,283,186,724,037,
869,355,806,069,503,978,845,885,012,945,623,795,703,114,857,668,989,497,416,
047,797,300,480,876,513,817,976,650,722,882,903,326,162,440,068,337,676,227,
175,319,768,533,403,173,024,865,771,432,299,091,238,573,392,782,029,370,580,
811,389,394,790,163,649,221,987,084,381,337,781,689,652,890,579,503,808,155,
664,616,989,690,680,508,063,996,961,352,890,894,395,595,089,558,844,583,888,
620,652,704,241,122,179,112,607,430,765,021,193,009,432,010,892,006,995,877,
396,156,700,956,356,609,636,535,043,178,855,772,484,207,177,951,062,783,304,
378,022,067,394,990,568,619,593,501,683,013,137,417,936,014,941,560,274,739,
825,711,239,418,319,166,650,960,058,335,559,220,043,169,101,055,011,331,751,
949,826,855,973,196,053,710,660,579,146,175,761,910,625,371,083,534,826,536,
639,265,982,699,458,719,078,699,592,453,193,253,372,998,722,000,037,871,931,
474,083,599,618,049,681,984,755,132,873,337,952,528,110,657,926,303,955,416,
467,345,384,309,470,171,011,960,882,004,718,545,070,019,841,315,708,551,413,
616,745,343,165,906,076,057,535,688,040,492,282,600,169,348,862,035,749,877,
025,401,578,577,207,290,450,721,309,898,382,754,734,326,458,673,352,484,241,
583,301,111,722,343,607,353,760,111,864,127,938,199,851,276,184,941,481,176,
760,572,584,834,279,420,818,616,151,508,263,089,488,707,182,840,534,934,292,
646,025,936,916,275,069,433,062,645,677,967,367,687,839,045,644,551,090,797,
820,755,549,269,955,401,201,454,871,767,933,443,674,995,372,442,277,034,937,
600,389,183,618,772,549,771,450,994,742,001,277,045,333,888,522,187,219,355,
143,847,886,016,942,144,198,661,126,813,766,685,698,628,935,773,961,478,854,
965,540,916,242,924,001,687,285,351,257,749,753,162,442,577,098,312,520,132,
454,556,030,663,730,462,141,773,509,103,849,838,990,180,015,954,846,932,981,
215,686,441,917,678,284,355,899,388,362,764,912,231,609,713,996,941,301,275,
223,575,595,350,015,739,775,872,239,232,959,936,558,960,148,160,721,180,873,
178,547,715,898,763,580,550,000,981,525,297,318,843,822,909,252,100,945,346,
127,845,936,948,667,973,357,983,906,072,934,035,474,090,765,994,987,690,078,
436,364,209,653,324,835,217,750,153,488,594,010,408,474,109,662,829,683,652,
693,231,181,553,937,465,266,709,541,803,247,411,397,525,316,678,540,016,054,
791,279,816,103,765,735,709,037,835,341,723,706,202,358,392,057,804,293,406,
844,866,825,321,821,678,125,884,562,745,876,859,396,136,295,838,913,894,017,
517,779,517,916,736,425,711,628,188,703,024,569,694,911,587,860,821,821,413,
749,264,736,502,247,515,881,961,653,810,010,591,574,648,449,887,307,230,847,
542,284,203,620,036,875,340,865,343,440,337,990,379,190,160,807,015,662,361,
211,146,741,269,055,855,298,051,804,903,825,751,228,238,037,806,586,052,309,
629,767,426,305,334,580,600,049,706,388,714,112,040,805,055,978,354,736,625,
458,719,983,551,661,471,886,231,237,942,189,196,412,038,039,177,098,887,892,
029,553,820,671,914,465,043,449,080,834,825,692,413,825,791,233,449,454,952,
141,755,003,773,724,296,604,593,324,801,425,608,987,919,646,619,787,199,838,
213,648,290,110,692,010,321,507,139,046,276,952,786,586,557,223,676,097,651,
483,351,750,176,807,361,961,624,868,158,363,701,627,027,149,818,551,359,653,
801,087,348,076,788,128,715,040,263,302,108,400,635,506,342,636,573,281,391,
109,100,481,621,817,859,046,888,347,737,463,792,166,826,689,630,543,341,574,
654,176,413,505,102,042,664,104,842,887,821,597,234,443,175,369,264,550,397,
521,024,354,914,012,808,039,500,353,155,595,513,381,068,583,284,504,344,767,
482,636,937,953,926,008,840,282,855,188,385,913,779,418,865,445,689,332,674,
562,607,681,998,296,637,582,974,416,131,322,726,679,934,515,758,003,955,421,
449,757,203,898,694,707,208,720,082,990,947,383,605,049,148,292,707,242,282,
406,169,262,959,264,682,604,471,802,124,291,337,368,548,285,053,465,471,411,
313,263,713,833,434,934,602,877,689,101,473,045,636,008,879,214,159,396,449,
563,733,756,119,303,139,284,203,880,503,874,496,376,891,849,418,647,844,702,
306,602,209,981,284,542,929,533,842,479,914,926,570,114,115,720,066,526,005,
093,098,721,707,501,534,503,604,953,604,751,485,828,878,841,419,449,935,254,
830,515,009,487,894,771,075,164,659,248,176,949,549,788,767,163,148,754,150,
584,509,009,847,576,065,009,803,649,490,487,244,761,611,830,164,076,085,650,
531,091,327,203,328,320,651,159,969,865,646,255,098,172,131,199,696,384,289,
583,118,138,385,300,224,945,265,129,322,066,419,962,834,204,118,188,995,124,
200,756,564,455,358,883,674,467,279,434,081,706,801,037,877,987,147,361,305,
077,845,563,920,379,822,549,403,881,333,404,719,045,117,985,131,081,791,119,
069,152,774,621,745,857,732,144,033,794,903,218,629,551,817,485,938,335,934,
235,546,482,479,666,249,525,599,590,293,983,796,040,555,758,711,315,624,054,
362,150,401,359,905,150,395,873,418,225,941,807,202,993,987,712,090,702,555,
858,735,680,009,716,412,477,720,456,957,362,404,456,380,106,406,829,051,794,
415,805,555,141,665,442,515,662,954,701,846,247,817,607,635,254,719,194,171,
913,534,651,703,760,815,219,839,262,050,089,546,090,366,951,772,576,153,798,
363,776,073,195,935,873,103,080,367,496,691,313,512,055,554,516,316,457,905,
930,609,225,210,475,680,646,124,114,626,051,086,802,776,706,112,212,332,947,
405,479,182,967,916,985,530,397,971,737,948,065,761,848,789,404,729,123,625,
333,756,533,233,522,459,889,543,919,108,112,682,977,040,402,416,165,095,225,
634,034,058,216,366,087,856,102,560,718,706,322,269,088,694,157,971,466,774,
796,068,950,077,511,392,723,385,300,742,780,610,174,458,377,534,775,705,644,
483,459,746,633,916,501,518,653,725,653,894,670,580,647,627,201,632,557,151,
054,458,744,417,255,622,244,197,528,269,495,333,508,120,401,800,305,624,935,
396,992,613,339,569,922,216,391,053,427,311,134,396,489,788,613,501,770,042,
333,829,408,951,295,158,323,780,946,472,410,274,987,219,718,801,527,878,726,
461,948,917,816,385,597,806,725,540,421,054,461,593,012,700,730,095,684,516,
598,867,530,623,589,115,390,200,440,561,223,466,188,710,313,834,795,372,971,
934,068,252,191,924,590,921,905,443,101,226,915,264,413,739,375,577,861,154,
988,593,983,287,200,681,661,363,012,173,109,520,998,598,224,200,636,646,963,
620,564,753,075,540,735,022,449,370,122,148,800,930,757,017,804,360,923,908,
162,695,941,894,854,951,815,239,531,526,212,201,023,625,676,813,382,449,529,
080,946,216,370,731,304,686,025,579,358,496,417,783,224,472,738,082,980,612,
276,239,369,613,047,625,220,117,704,035,586,794,591,186,020,265,289,618,661,
234,273,395,698,312,344,613,543,279,103,819,822,231,965,182,004,200,641,524,
425,471,307,432,497,748,451,309,551,883,810,005,534,409,791,137,690,574,271,
370,776,366,088,284,647,491,853,282,516,510,083,867,592,230,064,672,646,591,
635,070,660,901,041,012,181,945,347,509,163,485,418,555,708,752,888,676,086,
709,599,728,552,113,745,411,260,080,220,204,646,818,683,924,304,708,907,257,
067,024,252,162,366,192,551,687,181,070,442,158,968,668,475,128,971,632,549,
202,260,036,044,234,700,375,162,227,419,460,754,080,184,118,528,297,662,654,
909,684,236,562,137,650,957,694,761,591,394,316,104,455,310,428,619,412,403,
907,473,820,045,399,211,494,728,588,068,514,082,396,532,540,800,488,559,962,
516,813,242,085,130,392,131,707,907,368,615,409,351,070,102,577,621,016,426,
291,817,722,176,046,780,806,166,710,203,449,210,400,476,727,270,365,296,259,
175,269,648,079,673,065,067,302,968,228,279,730,436,270,719,132,556,530,734,
459,279,968,446,853,314,231,320,059,161,851,376,149,607,251,652,361,019,807,
703,636,705,740,660,552,174,709,490,651,319,331,255,899,740,163,760,567,535,
367,686,685,952,914,666,177,847,703,159,712,347,224,533,423,446,707,747,828,
973,650,326,523,681,112,781,175,199,479,190,729,481,441,169,139,395,517,194,
397,319,250,595,090,358,285,305,068,617,976,377,544,151,301,472,400,738,177,
864,506,766,383,216,150,659,370,403,671,042,571,215,497,510,320,955,771,197,
346,094,894,002,887,683,048,685,462,169,099,651,620,862,074,794,314,078,660,
282,991,687,518,556,376,530,137,959,350,231,659,162,691,975,179,659,675,783,
493,068,095,276,481,452,141,462,540,247,755,225,396,377,092,383,826,078,570,
798,005,211,570,839,637,254,912,008,850,258,090,525,534,073,155,588,079,395,
497,485,069,504,479,462,680,270,026,319,586,526,859,928,435,519,621,506,309,
082,872,635,480,976,971,111,349,322,644,066,362,692,406,480,254,585,187,630,
977,299,353,861,253,401,264,548,903,429,533,347,219,330,917,933,810,188,239,
172,837,588,200,854,573,245,412,403,478,916,219,846,987,120,033,722,936,538,
561,487,032,583,388,532,174,746,736,147,562,793,625,980,140,579,729,917,346,
626,567,603,235,278,068,195,728,489,163,146,359,222,436,938,638,290,062,084,
877,017,299,139,106,373,002,822,289,033,284,035,711,766,557,820,246,319,754,
462,288,734,963,642,316,039,348,418,736,959,700,161,094,405,424,184,157,153,
343,871,568,315,493,722,968,749,727,491,729,157,634,472,085,836,887,108,871,
819,988,846,689,616,171,834,694,987,734,662,248,766,182,873,651,976,118,166,
581,654,692,287,735,815,939,756,748,583,756,824,036,691,745,157,642,858,701,
649,073,866,007,988,104,503,226,333,237,554,997,692,833,540,470,570,930,942,
763,769,984,619,049,281,563,453,210,982,496,636,633,717,066,823,673,587,344,
562,072,644,774,410,001,082,932,704,438,011,292,963,488,021,021,763,796,992,
891,798,644,813,297,265,854,124,248,035,245,870,848,125,167,177,933,661,159,
316,542,131,541,058,636,369,371,324,080,589,302,151,175,462,961,633,640,001,
756,848,800,175,124,810,057,866,254,066,382,910,027,802,523,121,443,381,121,
829,398,096,647,584,969,336,498,818,262,054,737,035,166,194,672,461,766,262,
936,489,926,562,751,087,688,744,521,930,299,990,643,593,094,152,172,432,009,
782,630,451,387,944,354,484,238,947,985,716,267,755,014,623,777,420,185,953,
398,554,352,384,025,534,624,151,725,200,505,585,514,426,000,996,180,269,105,
779,017,704,174,315,062,632,895,563,801,773,378,066,836,758,434,851,392,948,
313,356,331,508,096,319,656,270,809,879,271,989,652,863,825,848,966,663,829,
598,931,627,078,715,310,647,850,964,456,395,195,219,520,228,766,007,929,328,
523,776,552,670,237,706,547,867,543,912,568,381,904,951,713,032,859,172,317,
330,199,829,049,363,941,782,213,030,155,300,039,167,225,621,785,722,877,527,
284,642,544,173,991,422,697,489,581,227,463,744,198,426,604,659,005,244,367,
289,505,568,812,906,827,536,701,406,428,556,961,331,986,116,708,215,719,538,
680,006,627,465,107,005,991,679,277,021,774,835,938,761,603,068,067,570,382,
640,751,297,381,066,731,261,723,991,283,871,677,823,733,325,233,383,588,472,
693,476,134,072,795,476,999,884,530,403,826,401,069,945,103,488,597,152,638,
222,110,050,157,670,049,869,338,884,832,626,238,977,017,030,472,103,094,119,
271,360,556,030,139,869,494,590,320,599,311,846,716,996,617,636,930,123,612,
539,947,941,465,648,280,176,634,873,576,414,714,260,771,794,528,908,988,952,
638,029,458,979,395,853,386,022,766,543,744,388,883,270,827,152,480,597,045,
172,297,700,506,835,089,556,888,825,211,249,303,646,071,464,252,491,678,914,
370,026,921,788,639,583,039,057,811,207,038,809,442,869,091,085,382,727,674,
261,341,050,229,578,897,450,069,220,642,957,166,351,020,774,857,745,117,503,
858,119,481,097,283,585,703,926,786,072,046,591,155,924,826,757,287,111,377,
841,863,053,009,458,393,319,211,480,287,056,579,656,720,028,669,061,605,536,
579,086,260,885,933,124,309,509,643,821,872,681,978,166,142,117,583,688,656,
399,585,586,363,982,857,230,346,160,235,145,325,426,728,658,644,720,439,885,
314,283,856,474,601,710,740,422,733,268,294,143,077,278,263,324,127,663,516,
516,462,106,026,424,448,490,970,324,069,448,731,732,293,606,624,023,897,608,
291,249,469,239,384,845,486,325,983,865,329,254,609,476,115,776,573,011,149,
984,594,192,533,389,614,802,655,042,074,744,301,813,034,733,350,201,004,448,
762,400,201,452,234,520,480,054,966,930,708,864,151,136,910,594,875,801,994,
712,180,422,562,940,147,636,848,627,215,709,360,639,362,031,504,330,587,904,
906,532,112,679,333,795,659,808,562,993,991,546,386,664,753,201,783,551,743,
160,500,705,134,783,630,990,066,393,633,589,248,314,382,267,459,322,945,199,
673,494,831,208,056,850,495,785,916,542,645,134,895,263,376,419,073,826,222,
633,501,127,063,639,569,735,961,739,996,282,213,337,262,085,890,984,367,509,
282,890,759,674,138,710,704,614,742,656,107,696,842,423,956,770,444,602,796,
898,592,096,843,643,861,891,671,811,626,143,136,058,477,644,553,988,264,838,
909,159,332,115,870,464,920,879,427,313,762,301,902,941,503,788,167,217,491,
879,814,915,448,811,202,763,692,800,932,515,304,340,691,816,485,941,391,433,
933,675,254,538,311,748,060,146,236,171,346,074,454,164,406,140,541,054,484,
076,076,731,292,096,604,121,216,196,910,253,514,028,674,126,061,025,559,047,
708,548,767,626,787,200,387,203,876,689,290,406,623,467,303,072,809,029,883,
278,306,266,823,725,163,290,998,964,480,134,267,178,541,718,418,660,612,681,
934,295,076,356,164,064,574,664,546,566,380,836,703,193,117,918,746,217,944,
898,632,642,658,441,966,780,977,668,714,961,171,911,867,413,047,878,443,065,
318,565,746,995,611,841,939,446,281,801,819,428,907,331,498,900,889,549,441,
843,890,848,805,999,252,491,344,969,952,538,813,372,398,621,936,276,998,308,
430,334,247,009,907,320,461,448,650,078,936,532,258,222,765,275,412,334,625,
751,547,870,871,986,355,911,737,842,064,538,834,512,221,710,403,782,048,751,
444,258,003,788,862,197,826,390,938,730,513,270,231,778,758,238,516,776,791,
899,084,563,559,158,140,066,586,444,423,909,559,205,447,464,887,456,020,293,
953,096,117,688,389,917,610,138,119,663,743,454,290,581,413,975,479,010,257,
745,552,450,409,157,486,929,082,763,011,127,717,081,245,458,941,623,060,563,
549,298,876,598,755,818,497,168,000,646,067,872,170,003,283,520,751,718,873,
916,699,593,583,488,190,720,035,464,263,540,516,931,931,591,983,625,181,467,
843,492,065,265,704,761,699,475,268,552,134,318,969,932,951,151,821,311,792,
666,132,537,617,602,257,060,238,173,972,583,588,556,944,255,250,520,844,660,
419,146,646,873,281,671,163,623,966,775,680,678,600,505,383,649,944,436,070,
030,132,362,944,160,098,599,733,926,787,561,935,234,443,442,110,003,704,071,
874,905,814,418,321,875,664,695,356,407,518,861,988,825,367,751,297,561,924,
869,102,099,209,065,768,443,120,359,017,741,568,914,053,395,876,903,755,988,
437,879,529,774,196,160,652,762,372,264,779,282,688,557,005,644,801,712,932,
286,958,204,304,509,440,926,588,254,418,558,477,323,500,165,786,492,010,087,
911,119,137,384,338,035,065,367,199,513,438,299,247,039,686,354,762,131,194,
431,451,115,488,338,867,720,096,880,566,369,574,024,641,778,639,074,781,323,
089,500,746,306,382,269,144,935,657,162,427,524,757,833,945,625,847,859,702,
114,538,535,422,883,227,012,303,715,116,208,439,005,654,664,294,252,372,595,
098,810,527,885,039,415,321,244,039,683,949,023,587,835,979,041,178,428,748,
205,375,370,855,781,979,259,633,863,186,347,047,677,367,890,306,417,056,631,
020,994,918,012,218,307,375,285,580,364,141,082,276,617,844,555,393,627,436,
562,166,520,613,708,262,251,783,494,592,647,543,511,250,996,572,355,929,050,
054,267,002,009,547,918,678,789,728,175,741,565,577,306,472,603,603,494,523,
727,739,446,491,444,081,328,226,566,533,367,126,752,304,568,608,453,529,372,
264,315,249,666,477,817,628,965,368,363,015,485,558,915,917,081,407,013,263,
887,180,980,171,391,785,040,393,654,191,405,075,433,996,181,015,198,415,548,
962,699,681,249,880,764,322,077,883,670,224,270,156,880,915,748,224,438,546,
924,724,715,526,160,030,062,074,761,728,991,455,305,999,027,029,308,796,431,
265,544,431,699,970,416,920,957,840,760,601,037,165,434,961,448,131,998,707,
313,873,828,522,399,664,930,500,847,552,574,106,594,620,044,910,080,199,738,
446,776,824,239,815,840,604,318,095,357,413,676,081,441,806,972,895,467,736,
926,843,822,583,586,390,837,350,278,055,100,356,109,950,376,599,207,303,351,
893,751,335,736,955,059,915,104,422,584,166,722,820,091,222,348,552,241,295,
094,363,572,913,789,396,373,362,566,724,520,602,661,512,357,930,958,010,827,
896,525,518,328,515,399,549,614,279,950,291,458,101,240,882,763,949,715,595,
767,301,403,269,997,094,695,628,103,519,407,502,056,173,069,865,534,070,346,
755,045,672,256,132,875,318,234,049,837,025,481,358,494,643,984,548,051,496,
742,293,504,201,006,192,841,048,416,121,416,197,296,706,139,809,407,365,243,
832,636,552,154,575,895,263,586,334,026,266,067,802,399,475,226,550,509,729,
415,666,689,559,033,732,327,053,200,337,148,010,883,414,575,338,954,360,474,
185,940,766,354,238,378,554,333,672,054,918,235,748,362,244,782,363,997,207,
901,253,373,289,457,778,994,636,761,923,245,834,743,922,914,685,910,979,198,
741,752,060,273,874,961,265,840,102,252,291,518,123,201,147,083,711,761,119,
695,020,255,642,371,572,884,757,511,413,573,045,848,703,253,832,131,713,986,
555,288,662,966,573,599,358,357,418,766,396,434,709,094,645,866,818,716,203,
816,939,203,341,252,625,904,284,188,613,552,793,462,550,773,411,857,254,433,
157,056,052,210,272,783,768,867,823,785,609,281,547,066,899,090,536,487,581,
172,508,296,652,052,071,594,854,659,565,690,852,068,732,859,949,539,795,889,
149,848,097,858,785,980,279,459,047,405,220,411,410,194,935,379,743,556,109,
834,062,756,253,605,669,379,336,884,790,339,863,852,680,289,698,322,399,084,
292,099,945,360,117,997,041,970,127,874,702,867,479,628,775,900,654,391,570,
331,337,771,412,707,312,307,993,006,975,735,367,491,911,881,254,193,223,722,
016,064,449,687,555,623,274,409,464,406,379,064,926,198,261,902,117,504,178,
039,131,996,663,850,440,653,914,269,187,294,546,649,208,456,111,076,686,521,
310,072,761,793,989,799,190,389,144,925,812,621,385,366,656,080,717,414,765,
815,854,214,450,254,167,852,585,734,384,813,579,660,449,206,262,953,496,516,
064,676,412,000,432,680,199,495,315,129,524,759,331,363,387,443,404,403,036,
732,817,011,372,147,639,162,261,210,981,939,589,033,315,933,702,857,953,342,
341,912,990,110,236,215,307,287,754,962,242,945,700,994,831,131,338,633,335,
464,846,446,462,928,985,530,108,835,159,490,283,485,545,354,485,031,753,290,
452,665,031,702,054,129,226,200,923,112,805,149,117,625,773,066,409,423,777,
339,628,188,020,580,590,062,253,626,461,323,375,687,944,551,237,721,588,664,
325,258,749,144,364,623,336,675,048,767,476,010,179,630,062,979,205,496,068,
436,231,299,022,205,835,143,002,169,550,360,438,870,828,617,982,393,681,574,
865,958,939,534,003,522,279,184,598,019,931,122,288,949,815,720,244,437,431,
115,817,427,237,084,768,310,558,538,208,759,253,650,648,358,776,364,174,002,
862,273,226,618,829,242,908,044,852,162,390,886,158,040,393,029,590,508,794,
976,484,898,645,021,735,029,619,346,084,483,262,829,451,755,571,925,012,994,
891,239,667,142,933,356,004,469,816,899,950,391,979,432,727,088,835,664,703,
571,495,630,201,487,693,650,817,734,372,586,666,335,564,829,032,945,610,296,
275,171,443,681,119,376,255,848,754,695,846,154,752,756,035,984,451,234,813,
134,461,976,394,514,040,010,539,965,077,665,968,606,227,905,837,001,584,716,
047,610,544,751,886,471,283,188,450,523,282,644,629,400,051,609,867,764,517,
529,850,525,365,025,799,679,572,040,160,484,452,813,435,494,272,527,378,871,
335,842,908,230,972,562,431,302,362,873,187,269,252,082,072,391,158,695,831,
340,454,391,185,970,003,965,018,698,682,202,263,034,450,836,093,696,397,552,
212,535,569,462,188,247,497,973,886,016,641,513,125,844,343,279,869,471,543,
868,268,329,761,865,408,566,552,607,697,437,971,711,392,552,979,845,388,214,
441,747,317,350,391,653,361,142,135,776,886,051,926,004,590,384,489,028,751,
614,260,880,003,554,021,377,724,261,651,142,292,933,869,815,000,212,875,162,
389,544,660,501,344,654,360,963,862,991,956,664,461,692,813,332,162,237,479,
153,518,501,693,318,298,938,112,545,298,584,514,372,094,166,294,926,799,368,
158,305,144,294,112,154,232,236,826,018,683,570,294,608,789,350,346,434,928,
584,862,428,598,733,550,669,411,734,091,179,818,650,467,452,075,095,863,006,
572,619,458,921,160,627,703,145,473,120,113,406,437,863,957,736,615,684,709,
637,993,369,559,020,700,128,000,883,441,192,994,141,187,871,498,650,411,683,
524,810,220,579,127,177,632,342,527,330,173,547,483,737,896,355,156,410,730,
837,891,809,638,703,118,355,932,047,020,864,951,405,003,929,373,553,898,719,
165,953,216,215,170,848,392,971,639,160,244,618,001,185,957,101,548,059,992,
608,541,301,431,618,067,820,934,399,690,054,576,065,584,500,492,181,101,887,
134,757,102,412,906,558,173,057,830,491,276,226,958,816,621,248,595,139,393,
773,515,080,188,038,677,263,797,566,718,220,012,873,823,829,934,551,484,883,
417,820,563,104,152,576,581,175,097,866,634,439,093,722,450,655,221,395,980,
659,854,183,522,056,967,914,662,322,930,106,117,569,801,244,899,705,484,585,
589,088,352,642,288,478,528,396,732,616,865,779,184,324,984,548,944,495,327,
648,893,305,323,679,188,368,320,792,171,503,921,973,384,223,044,836,440,354,
795,093,363,567,942,850,956,787,169,139,124,999,794,885,759,208,076,662,022,
802,565,996,863,576,823,413,001,132,850,711,477,139,733,334,998,181,714,607,
727,111,290,147,295,765,314,129,637,242,116,194,954,025,608,542,998,572,913,
553,168,095,812,388,097,992,066,786,709,103,743,558,461,206,501,945,265,466,
191,568,453,900,925,540,802,687,540,828,253,326,860,328,767,848,939,582,309,
204,326,086,126,620,563,932,985,193,684,863,968,283,334,147,558,062,345,254,
140,650,638,623,968,549,106,336,231,264,901,670,264,903,502,298,124,934,235,
134,958,386,989,809,731,950,188,321,952,806,558,541,641,426,286,692,221,555,
716,586,847,820,353,907,264,655,108,889,034,815,953,993,034,294,376,438,858,
109,942,942,863,324,080,860,751,612,590,376,440,146,029,491,395,499,025,594,
255,308,891,054,854,938,489,108,353,437,228,050,926,450,777,484,730,999,594,
163,532,156,512,391,538,079,182,475,865,266,718,056,353,094,297,690,911,137,
122,550,640,950,449,440,418,734,070,862,579,254,030,639,087,665,750,242,913,
197,650,293,979,947,879,392,144,087,783,652,422,801,971,571,782,070,155,325,
303,529,587,025,194,440,062,811,464,500,709,807,295,416,741,764,354,769,458,
917,066,136,107,345,778,769,543,789,360,070,232,683,004,220,728,457,154,924,
188,503,921,169,785,251,259,533,276,108,021,338,108,569,941,799,548,052,244,
549,288,262,571,605,424,286,915,723,181,766,226,035,707,194,615,660,352,530,
752,211,285,957,588,598,339,495,716,862,921,416,382,840,983,283,161,814,619,
119,000,627,573,893,472,777,625,935,267,571,844,569,161,432,942,031,536,007,
067,003,656,044,533,167,174,085,916,782,744,936,990,426,936,071,197,382,265,
626,981,922,273,397,177,753,887,875,229,821,467,492,517,696,847,232,083,070,
464,392,639,344,367,736,280,549,470,275,810,007,777,923,842,921,394,949,650,
883,584,171,756,740,869,529,935,763,996,132,885,950,241,586,977,895,945,421,
735,563,591,785,486,104,720,387,981,609,379,174,259,218,081,973,448,715,447,
707,485,593,173,406,401,042,763,437,554,523,826,487,222,899,729,046,763,370,
019,784,077,150,309,257,528,588,773,550,604,846,901,456,146,949,915,035,618,
573,580,936,451,606,912,539,450,089,775,799,165,641,364,631,461,611,084,450,
615,653,099,448,902,139,993,041,395,047,807,481,195,799,440,722,653,661,711,
650,573,440,043,933,836,102,236,938,086,211,000,604,544,136,112,391,961,600,
355,697,921,787,376,298,726,679,217,742,170,265,502,470,161,752,175,947,631,
023,023,080,853,002,261,392,009,443,108,236,460,329,024,270,423,340,385,732,
796,893,481,979,785,317,883,322,659,298,623,074,645,279,283,647,624,267,973,
087,212,759,909,425,796,278,939,130,928,369,286,256,554,463,882,003,699,313,
907,893,728,089,492,719,576,753,166,733,417,395,056,673,750,498,344,235,400,
824,491,742,873,580,599,854,277,522,729,506,888,125,766,084,698,792,721,655,
884,800,256,326,731,349,569,566,356,205,039,280,080,347,718,941,277,753,498,
907,299,157,737,200,724,731,630,105,791,351,962,722,643,447,507,816,017,694,
825,842,588,555,716,205,844,088,264,617,843,505,289,892,343,716,585,508,655,
601,679,509,404,342,740,373,492,749,728,447,276,216,883,171,883,919,650,220,
727,929,037,412,344,100,495,126,952,201,897,442,020,686,568,819,377,189,606,
626,674,824,992,170,376,838,433,345,598,619,576,526,300,607,113,615,721,833,
663,214,729,081,793,503,155,505,655,349,555,510,580,913,413,361,055,812,713,
393,625,960,333,585,258,585,921,107,383,815,678,848,567,008,179,206,724,013,
195,027,193,345,032,806,342,304,998,139,240,868,166,078,176,780,936,785,853,
350,656,411,745,112,023,799,033,085,895,417,490,413,685,649,927,622,515,257,
166,257,655,668,953,934,568,830,065,819,872,603,581,925,806,708,842,788,015,
505,822,848,562,074,899,632,629,266,517,680,972,133,744,261,656,981,886,700,
115,828,964,569,531,471,166,144,247,230,566,897,442,731,717,290,617,320,160,
665,813,511,695,170,083,597,089,790,793,888,447,698,949,426,770,858,912,832,
611,671,834,158,936,777,863,135,451,050,366,237,434,341,261,758,925,277,181,
876,243,172,655,512,424,511,504,118,692,580,486,231,193,262,827,402,282,692,
895,372,573,880,978,485,000,167,689,549,290,498,132,689,237,647,137,611,798,
595,031,584,105,185,793,806,224,697,808,972,371,518,369,909,628,850,817,074,
352,903,462,152,371,234,037,230,713,274,380,257,973,069,571,559,945,563,215,
963,869,141,474,026,030,616,568,662,817,205,534,065,314,551,508,541,324,007,
156,354,582,548,624,170,567,253,182,561,801,701,783,254,042,705,125,248,821,
804,459,348,540,218,735,106,708,841,332,103,326,471,736,413,623,814,012,749,
947,997,822,545,747,019,412,157,115,358,703,662,654,357,210,834,582,008,388,
298,182,662,039,631,801,990,136,891,488,278,705,747,620,314,642,893,687,843,
144,014,237,604,954,228,356,112,412,762,087,766,053,442,702,891,852,834,873,
241,121,344,470,018,672,469,001,476,427,672,365,368,604,210,654,903,201,676,
971,576,226,136,127,039,616,371,286,828,933,135,444,605,562,366,067,488,128,
905,695,816,539,928,775,619,900,494,222,924,125,575,991,789,868,660,633,352,
458,912,908,098,008,073,487,286,784,527,819,620,342,668,679,635,798,049,540,
228,356,570,595,301,744,714,733,000,243,844,567,911,986,318,987,342,331,834,
920,004,593,941,738,710,674,916,776,179,737,869,855,648,163,858,175,194,269,
227,455,512,872,633,590,741,384,441,551,123,368,970,233,382,579,274,114,652,
096,625,124,918,219,808,147,820,605,736,329,187,638,987,189,459,644,682,576,
691,690,135,600,416,613,264,696,900,096,691,089,721,286,817,165,077,216,740,
060,835,070,552,612,276,697,712,500,266,650,302,568,356,607,481,126,157,259,
896,891,495,978,385,414,453,773,636,429,975,269,469,931,568,650,317,778,734,
234,800,968,706,997,822,258,089,879,181,573,743,861,607,826,898,090,995,957,
949,213,734,898,443,222,123,482,471,673,499,943,354,642,291,556,101,835,783,
728,081,636,573,158,094,103,762,001,943,686,145,464,132,385,010,387,490,092,
672,156,216,950,014,368,848,958,560,349,031,658,339,884,583,945,188,783,935,
087,127,961,846,070,950,871,954,041,972,347,392,684,618,555,842,541,467,206,
790,652,402,399,923,868,301,887,058,527,983,754,678,394,938,764,065,524,826,
823,789,823,683,348,853,427,306,047,363,498,304,774,754,089,815,077,438,352,
342,145,657,285,004,746,056,635,122,150,268,481,638,570,861,133,968,400,290,
450,912,580,553,312,252,187,728,594,746,137,526,154,218,246,847,229,175,471,
703,703,932,602,589,323,896,595,121,112,959,801,741,556,606,181,726,889,524,
390,803,239,325,122,095,515,918,745,278,330,799,063,424,345,153,044,548,537,
157,309,774,742,674,750,872,144,790,943,574,300,703,543,983,955,642,174,407,
335,256,449,227,748,678,439,976,810,836,515,464,049,953,905,198,883,018,257,
612,591,096,420,051,663,277,176,976,997,829,235,489,020,361,689,301,804,376,
831,981,685,963,200,456,251,810,289,639,677,025,373,735,612,108,708,566,942,
570,233,905,144,685,117,593,678,301,826,816,237,731,308,149,969,932,500,234,
745,578,448,618,453,416,683,093,870,759,488,825,197,566,938,036,028,278,085,
580,551,751,586,906,632,322,201,717,042,642,803,705,330,479,315,564,811,383,
188,660,996,406,741,083,026,683,866,436,507,318,864,067,035,698,907,382,820,
738,191,072,776,601,018,819,657,152,869,940,928,546,141,489,615,703,485,969,
376,712,383,632,417,120,222,924,256,025,742,807,085,646,601,730,460,891,212,
632,106,840,069,160,625,965,628,974,218,280,443,713,454,421,190,822,039,957,
954,276,021,471,848,888,773,525,355,756,271,099,249,180,685,610,407,323,490,
569,511,989,871,003,862,448,386,837,727,103,469,898,950,325,035,159,394,419,
488,635,726,698,579,149,774,301,217,249,454,901,393,945,875,692,654,694,627,
396,033,564,856,125,883,199,586,683,285,624,467,178,609,490,765,646,362,610,
760,165,011,064,967,487,727,864,694,537,960,983,840,763,594,751,573,129,028,
001,685,899,180,509,555,262,472,857,971,347,554,543,517,247,843,816,429,062,
189,448,790,089,189,397,632,909,384,492,158,791,813,295,889,208,775,831,734,
712,021,457,677,912,089,614,029,139,569,969,552,417,921,807,872,793,885,991,
220,651,789,733,319,632,580,132,346,978,940,561,794,110,819,150,066,515,288,
418,403,441,411,496,671,566,259,753,531,251,149,306,807,839,681,189,553,443,
188,438,873,520,895,531,040,103,607,640,169,677,095,240,341,668,037,727,159,
422,755,241,066,669,140,862,287,578,661,940,922,631,477,259,001,557,351,545,
051,006,945,922,936,660,923,945,127,242,645,043,616,139,498,515,396,428,610,
789,671,794,645,644,508,331,145,178,972,993,417,344,566,785,455,363,689,407,
522,911,561,753,520,227,169,970,529,614,658,965,481,627,020,339,707,337,787,
569,803,344,065,398,876,192,229,145,212,899,447,057,119,053,893,010,887,649,
268,050,806,241,810,847,299,601,332,316,250,525,492,656,351,704,004,647,379,
389,163,517,613,901,035,573,863,994,124,217,085,060,012,280,172,506,657,085,
083,238,165,988,543,061,087,314,939,563,829,921,463,775,175,971,877,148,368,
208,116,126,015,951,620,752,662,669,126,982,996,059,887,075,428,309,661,654,
656,832,309,587,292,822,292,202,830,355,464,402,848,076,708,068,796,612,419,
229,754,158,101,169,637,500,441,361,548,396,286,329,482,717,727,302,884,865,
982,362,353,288,758,858,863,334,197,463,718,176,526,825,374,243,161,353,690,
542,903,765,184,205,800,870,584,502,381,995,075,794,715,898,474,804,777,849,
397,380,685,416,029,025,888,329,352,584,358,846,907,637,229,242,268,945,902,
505,783,351,630,362,071,362,945,492,759,025,643,393,634,825,699,482,361,607,
832,438,719,382,645,248,177,048,006,642,944,781,529,383,832,080,000,018,594,
285,371,833,440,291,725,618,943,979,765,548,618,398,017,437,350,372,490,876,
078,797,375,121,092,698,149,653,924,041,100,965,736,124,748,626,245,362,698,
959,882,707,733,833,614,480,534,074,688,140,771,925,620,974,229,274,448,774,
587,481,513,021,959,138,428,927,988,060,911,990,266,525,988,062,282,084,237,
346,004,228,455,340,115,741,537,372,353,094,605,888,995,605,905,655,448,716,
442,092,059,968,146,100,809,313,076,312,261,210,113,451,781,977,392,184,272,
219,310,631,343,424,863,176,664,574,229,024,732,191,999,333,721,813,505,864,
326,252,237,142,331,540,545,535,052,782,672,827,206,169,103,849,241,691,411,
608,155,888,086,219,683,706,078,422,129,877,162,526,046,309,217,294,948,577,
632,409,580,120,875,623,791,808,641,999,374,115,440,300,838,349,634,550,110,
377,853,103,757,265,720,506,915,445,346,276,477,162,369,319,413,400,584,330,
900,042,666,168,451,297,673,661,092,371,738,289,860,234,535,440,361,061,213,
758,257,110,783,114,587,489,915,781,480,625,544,869,497,445,050,566,125,923,
389,306,444,958,359,524,525,329,765,469,286,775,305,226,978,071,506,712,204,
921,760,243,788,855,593,183,435,288,709,997,133,517,090,934,503,078,985,223,
154,018,554,475,225,316,238,360,506,691,923,061,739,581,332,288,435,704,334,
390,483,399,111,297,932,625,717,903,111,258,469,695,572,109,841,717,774,349,
225,644,177,545,871,581,933,938,918,276,693,021,944,716,030,182,283,826,813,
149,252,004,610,143,291,206,631,670,067,907,040,675,070,666,535,011,034,234,
109,486,241,759,064,781,468,055,335,353,385,255,523,304,138,617,988,133,687,
352,998,281,384,985,416,850,687,112,838,428,311,928,196,563,424,737,414,096,
485,281,065,393,821,807,514,494,278,880,533,486,153,346,135,484,561,149,908,
751,398,404,721,580,299,307,424,670,045,362,252,536,780,815,694,508,507,490,
390,922,211,725,364,321,528,689,967,908,920,466,023,542,099,788,996,691,789,
035,106,396,593,744,318,398,380,508,344,088,115,623,497,654,041,935,838,059,
276,201,451,666,743,899,425,196,153,883,352,376,445,327,642,494,709,072,448,
859,709,290,410,857,466,350,239,004,102,980,144,849,388,023,481,526,752,583,
696,483,632,600,531,297,830,122,390,090,901,736,373,909,975,045,790,160,788,
017,535,143,107,365,830,854,820,103,371,171,656,671,703,173,452,001,668,114,
008,082,872,023,556,680,541,460,486,018,389,234,208,661,564,393,539,943,803,
127,909,797,154,120,453,222,880,334,591,745,626,164,648,202,466,912,714,737,
430,688,552,477,760,408,318,644,920,276,722,320,032,101,629,860,249,964,144,
025,842,381,734,554,373,033,784,801,168,573,261,427,275,132,208,666,788,567,
016,874,708,739,974,024,832,018,581,165,817,582,983,285,748,066,381,355,943,
208,986,996,229,846,814,755,857,420,369,998,275,016,602,895,967,535,580,636,
802,687,841,341,500,827,789,761,059,107,286,338,243,962,835,319,019,618,001,
830,029,172,982,896,993,870,229,382,508,408,435,322,332,307,624,595,301,419,
010,274,634,847,635,642,632,900,942,792,652,296,182,912,634,288,082,970,370,
605,434,839,642,466,329,857,095,774,724,443,711,379,028,104,068,695,009,237,
136,779,293,859,144,552,435,271,913,201,823,771,629,262,254,866,593,935,823,
271,146,940,244,222,785,555,233,372,366,996,331,445,549,070,656,345,394,056,
155,522,415,242,549,682,965,388,654,379,344,298,249,934,333,934,171,589,657,
123,761,569,819,022,866,359,772,372,723,217,915,772,317,384,413,890,980,719,
848,608,048,573,380,335,308,423,803,583,450,565,258,900,940,724,411,677,660,
535,815,954,399,336,404,766,628,446,912,719,881,227,842,297,419,127,198,992,
864,116,516,246,144,633,116,218,615,090,576,521,172,545,721,101,518,001,565,
132,678,367,355,617,730,935,140,216,456,900,650,983,381,072,616,236,046,352,
071,003,417,067,293,691,360,295,361,483,946,131,422,076,946,978,236,764,481,
668,805,691,986,827,794,833,100,484,262,831,348,001,056,196,437,646,691,357,
055,941,392,840,247,726,716,829,039,655,915,784,792,531,498,416,406,904,620,
285,427,224,788,146,224,819,401,179,255,133,432,719,195,985,552,155,728,722,
464,623,913,680,382,724,838,596,645,373,344,575,398,247,642,642,316,154,369,
245,900,319,407,114,904,303,344,320,760,405,256,208,149,114,641,179,433,663,
312,472,185,050,679,585,797,388,627,923,472,565,028,024,815,957,410,200,584,
636,656,286,062,788,423,540,527,912,968,360,168,170,568,143,750,755,161,146,
851,972,882,137,434,122,354,403,469,668,127,313,753,047,963,209,302,801,742,
721,181,108,738,643,487,338,617,839,135,643,123,733,465,269,432,128,850,086,
925,997,698,284,555,441,880,283,691,129,366,045,519,491,561,632,796,652,477,
133,711,250,537,089,275,996,047,123,293,642,754,445,204,333,634,933,926,509,
101,017,184,965,543,474,840,807,418,482,730,252,275,640,617,740,711,353,275,
830,554,650,699,993,672,594,508,817,649,396,379,213,330,204,504,631,542,173,
099,738,414,470,627,792,675,599,142,538,554,715,641,731,797,640,165,505,812,
508,270,558,477,652,512,039,400,733,139,364,736,479,466,132,248,169,437,782,
390,267,720,797,335,585,199,610,379,860,873,386,315,549,081,127,430,464,108,
387,679,516,237,590,945,527,544,899,218,406,315,920,997,648,214,037,708,012,
005,747,201,782,276,219,653,439,611,505,895,963,409,453,282,112,605,843,724,
263,836,678,592,065,085,501,192,368,781,298,936,395,770,050,829,538,709,105,
068,526,448,179,240,668,063,884,740,090,727,424,543,422,259,904,373,474,508,
414,298,801,121,410,739,829,254,245,001,390,958,635,699,950,221,309,614,669,
922,906,193,961,724,178,686,584,867,378,242,218,381,299,345,123,200,164,572,
457,508,407,938,878,849,293,550,524,870,520,066,132,664,245,982,804,212,219,
822,019,015,074,310,612,450,225,231,206,084,540,904,187,607,672,849,428,567,
093,918,447,511,502,148,190,308,484,920,559,180,134,640,938,322,989,035,500,
028,744,765,026,963,941,217,366,162,294,329,359,292,493,789,308,597,026,698,
492,070,420,780,414,597,675,141,940,640,668,981,530,996,504,059,880,066,310,
824,540,290,548,001,530,103,692,743,060,749,968,434,202,362,532,910,210,118,
499,453,088,714,741,320,009,968,410,927,489,940,251,717,917,841,756,876,288,
702,669,133,483,918,682,137,921,132,473,602,889,412,371,542,605,488,806,630,
787,229,666,310,062,760,503,023,651,911,726,917,439,058,077,189,763,613,063,
982,316,064,490,769,773,921,841,881,006,959,584,702,535,056,261,541,867,329,
772,441,314,310,124,228,063,517,297,534,631,000,264,324,655,685,825,957,442,
426,133,985,265,171,327,206,089,210,632,172,698,377,817,263,895,637,409,631,
676,990,764,060,793,082,982,124,822,730,067,800,830,359,820,453,738,098,935,
444,902,940,511,440,355,256,391,055,583,468,951,235,938,922,110,347,200,260,
797,828,166,735,272,918,915,408,653,751,217,070,492,214,054,082,881,987,136,
604,225,629,841,643,091,964,756,784,651,702,110,613,771,871,977,631,338,774,
843,411,786,437,410,419,543,908,516,545,055,960,961,149,282,600,186,995,509,
779,532,613,062,573,031,350,275,763,220,562,132,347,843,640,782,171,697,504,
830,504,984,921,370,731,939,683,351,941,942,341,201,442,483,564,728,388,112,
202,848,740,921,951,919,657,387,075,485,079,512,473,807,278,170,811,529,563,
103,996,222,132,876,418,644,352,290,041,387,115,906,446,425,759,887,378,509,
204,374,433,535,636,331,100,680,008,298,875,845,829,198,556,132,147,118,415,
663,758,203,746,450,166,306,849,939,169,445,857,275,887,512,360,574,839,190,
422,478,106,271,554,790,886,921,521,128,222,826,195,878,624,095,106,391,762,
876,502,068,249,257,282,840,562,256,843,003,489,703,239,450,617,860,378,250,
145,290,754,223,005,767,438,943,696,272,717,753,513,855,237,416,121,125,609,
707,795,489,139,524,867,321,100,467,900,549,760,787,574,657,598,332,785,189,
852,383,712,506,636,743,112,044,125,250,065,893,283,931,451,328,450,389,203,
382,432,132,929,727,491,040,377,979,455,537,439,920,804,619,700,486,269,429,
506,227,732,246,062,244,492,763,636,253,227,907,942,840,764,779,114,276,555,
944,335,888,376,787,651,927,605,174,852,879,163,100,170,170,821,605,164,954,
778,331,181,567,484,509,325,343,481,906,368,461,157,403,010,431,148,629,583,
422,799,645,716,848,093,542,605,061,133,022,412,925,096,411,389,127,061,250,
392,420,365,110,618,893,930,945,771,942,733,092,738,312,582,108,924,520,391,
661,295,321,305,497,552,432,210,047,983,123,884,513,047,423,684,730,035,366,
128,435,105,611,111,835,340,269,470,719,756,359,253,846,264,652,597,312,645,
827,690,636,925,081,084,043,554,530,950,924,862,911,755,741,705,054,284,005,
806,716,110,975,474,908,088,803,348,449,073,552,635,111,141,145,388,267,432,
420,875,913,704,856,016,426,140,833,486,933,452,006,734,327,240,809,342,635,
733,612,164,630,443,563,335,565,135,942,349,704,058,994,793,341,315,327,985,
996,400,622,030,545,842,692,431,366,563,462,474,290,302,307,750,860,744,392,
607,482,172,259,372,041,996,547,304,490,614,804,201,203,642,818,314,462,412,
183,675,081,673,277,374,129,452,683,386,215,155,851,753,412,614,321,333,320,
496,338,323,241,589,194,426,595,304,175,649,881,117,370,637,513,332,553,968,
160,825,283,188,642,195,554,434,625,476,437,934,702,362,550,188,564,146,982,
603,416,060,725,627,514,513,603,903,543,533,695,809,348,468,614,706,153,293,
313,704,237,377,637,458,893,103,279,938,800,913,313,131,694,286,783,622,080,
952,406,781,775,018,937,725,517,707,035,341,750,943,626,907,115,844,615,818,
063,095,972,671,956,879,394,811,850,342,690,252,442,473,766,689,362,231,670,
990,750,128,169,752,502,256,400,449,290,138,212,910,341,642,250,990,249,723,
501,742,939,211,271,013,649,804,356,829,834,427,839,277,998,729,228,706,912,
284,514,342,284,715,342,511,806,507,276,515,574,232,943,027,405,226,414,658,
463,868,322,502,119,398,399,298,582,309,134,261,788,810,108,469,630,363,793,
666,843,994,506,663,649,200,612,807,007,452,352,241,519,691,600,786,010,993,
110,258,185,025,219,234,154,384,514,089,693,445,000,214,006,243,862,843,562,
421,555,589,940,908,005,862,014,528,477,808,120,727,574,586,854,454,402,953,
951,114,143,301,565,862,282,355,723,050,274,823,848,708,145,145,772,808,992,
546,985,093,154,966,569,225,041,185,684,824,645,320,214,501,772,951,957,568,
318,924,210,074,690,549,240,651,883,874,538,036,741,745,876,798,486,173,395,
316,412,856,116,213,818,262,323,808,826,842,125,190,500,825,202,415,696,977,
342,355,182,261,081,755,597,621,941,398,463,120,692,860,278,853,883,810,502,
627,270,587,779,086,791,694,217,722,240,241,535,760,975,594,771,111,044,900,
561,511,212,738,503,673,079,656,486,265,324,506,520,699,728,263,339,016,028,
574,908,485,410,332,951,130,644,953,518,147,828,480,505,374,502,663,273,755,
483,335,706,590,575,549,557,421,130,288,748,508,599,157,165,059,299,099,360,
500,997,520,994,422,451,521,720,233,060,207,506,790,000,635,274,344,774,458,
003,020,074,893,007,841,071,433,134,209,127,775,299,867,287,953,814,454,939,
585,043,837,749,814,097,382,064,497,118,453,104,678,306,984,677,616,628,355,
954,897,941,692,421,406,468,004,826,154,807,785,700,145,958,712,688,899,065,
976,942,354,884,752,783,135,101,888,065,809,092,402,355,340,794,088,117,153,
483,613,877,869,779,039,965,139,911,625,847,790,368,039,198,080,103,645,908,
754,457,954,668,605,762,777,608,889,028,209,906,110,734,655,705,293,863,904,
644,854,747,479,632,904,811,496,457,768,240,836,852,818,405,196,388,037,066,
055,181,741,695,414,288,193,749,869,161,656,031,633,979,699,130,347,938,252,
069,225,073,949,302,711,954,369,501,471,020,889,783,417,138,513,805,599,640,
582,527,708,864,752,919,758,974,113,626,678,375,240,542,089,624,465,378,925,
345,391,906,335,276,054,662,853,397,180,496,538,415,183,911,029,140,709,072,
483,278,148,727,351,380,395,196,706,467,776,411,197,405,190,628,769,350,360,
118,677,187,807,386,738,604,080,507,284,114,096,335,787,890,337,831,790,940,
481,853,440,192,501,239,154,875,979,276,938,281,078,464,224,855,865,613,818,
118,871,040,238,643,467,192,670,076,538,875,398,189,260,193,776,593,089,888,
190,727,817,328,212,688,892,725,147,790,333,003,468,303,731,205,199,183,749,
306,799,714,416,682,083,665,186,645,553,103,872,512,632,048,853,742,584,989,
964,991,100,151,116,306,680,083,799,199,369,963,622,948,322,611,081,199,773,
650,939,773,052,827,301,525,050,494,246,509,849,694,085,387,671,867,982,586,
079,440,324,035,019,587,735,979,944,315,138,289,462,398,904,738,330,460,200,
779,664,145,921,099,040,328,611,306,336,621,283,068,483,716,911,967,132,236,
691,462,410,701,749,021,719,017,317,171,566,013,079,775,259,746,619,045,991,
542,752,813,299,840,364,114,422,075,356,935,352,976,053,926,353,716,885,637,
806,538,103,657,813,710,153,737,631,659,376,533,703,429,740,095,999,037,448,
125,198,787,167,623,230,630,941,022,955,078,842,592,772,686,744,614,594,770,
491,283,141,631,592,147,884,750,063,953,870,286,460,809,545,778,822,656,777,
466,299,435,897,809,112,074,215,828,427,785,215,558,755,336,839,736,768,834,
217,123,141,887,239,372,435,081,942,721,364,693,204,671,891,463,409,975,514,
378,826,856,608,722,363,948,200,518,991,937,764,612,223,434,023,350,058,248,
979,240,807,675,640,605,817,235,424,917,170,099,621,244,943,202,561,153,658,
312,915,724,712,789,461,054,880,793,109,181,850,828,682,315,384,372,077,233,
048,746,076,258,502,501,043,292,513,322,200,369,487,011,223,213,658,124,498,
906,699,877,779,121,717,835,062,774,379,000,365,477,088,603,164,923,482,922,
078,274,805,491,408,560,949,045,486,123,695,065,451,025,124,790,620,982,589,
929,284,893,560,713,577,445,298,345,215,501,251,782,849,680,303,961,148,392,
857,790,744,600,652,058,985,072,245,724,414,816,733,034,097,373,874,552,271,
719,148,314,421,522,618,265,662,734,486,582,338,977,937,240,829,173,806,741,
683,906,055,671,484,337,275,124,188,531,236,642,987,643,592,444,901,491,194,
287,276,224,577,195,841,514,166,019,916,892,395,462,861,384,907,626,296,586,
089,608,244,719,129,879,621,190,599,972,468,770,024,542,714,359,584,566,757,
004,076,045,141,662,188,297,233,875,432,017,361,623,996,921,169,891,112,418,
675,349,982,883,276,114,737,308,703,596,119,471,930,445,082,319,830,167,168,
399,756,953,257,953,906,139,955,560,543,729,399,628,062,762,742,600,688,199,
787,135,405,311,529,659,114,755,918,799,782,667,170,799,285,207,378,541,737,
127,141,354,548,145,340,995,260,929,175,923,000,788,079,024,516,323,497,543,
804,678,103,533,495,397,929,033,981,133,228,562,169,268,713,428,904,893,503,
665,825,389,557,935,628,164,706,838,904,196,476,473,425,457,218,788,891,012,
371,531,454,526,544,850,590,769,211,931,715,461,689,197,752,046,738,285,609,
100,226,087,263,819,153,088,876,924,715,636,045,578,550,364,110,345,642,590,
403,555,345,243,418,546,346,599,676,005,755,575,370,399,891,249,598,176,755,
061,093,295,843,287,606,922,822,206,126,308,057,536,096,640,953,699,059,659,
269,135,580,586,993,222,407,683,233,334,767,877,767,580,918,015,211,168,161,
402,641,969,261,475,334,898,707,422,128,004,968,716,650,892,046,683,158,047,
826,430,659,747,611,538,877,436,839,995,489,313,996,611,652,447,809,098,186,
459,842,703,159,133,611,340,467,782,860,208,633,689,255,669,817,266,168,424,
090,001,129,419,121,222,974,281,016,217,247,275,800,148,463,838,202,448,305,
489,389,661,236,419,822,060,345,732,472,402,347,158,671,454,845,054,941,577,
313,780,675,286,256,495,012,814,607,561,183,888,875,972,387,608,492,357,875,
850,913,009,189,853,131,077,801,906,619,749,153,651,014,763,147,475,262,075,
127,218,792,707,905,754,394,016,514,265,391,761,749,281,307,989,057,643,933,
583,679,912,139,629,109,349,695,479,866,197,760,583,635,292,759,893,928,508,
884,449,860,108,075,559,227,343,872,956,036,602,497,459,233,126,773,671,958,
133,711,764,478,541,900,450,085,901,984,616,647,357,353,673,266,445,151,067,
790,237,585,648,416,034,166,602,514,882,828,944,292,368,683,836,282,113,221,
250,694,368,434,670,516,265,573,306,132,548,502,005,001,318,107,457,283,620,
528,276,854,929,893,579,754,833,380,169,902,349,901,334,164,136,912,712,575,
585,879,732,174,724,799,005,604,747,960,367,758,064,019,665,222,578,770,552,
519,146,943,057,615,352,189,408,584,501,067,992,569,394,174,138,046,901,941,
645,954,749,744,799,652,538,014,056,429,818,760,286,133,511,257,392,550,783,
451,829,041,423,328,529,747,039,973,492,153,436,164,483,509,000,118,898,257,
805,749,651,527,340,072,468,297,071,133,561,958,495,121,261,640,106,708,999,
177,437,016,909,145,103,719,466,258,073,342,377,427,565,154,002,754,782,747,
177,069,884,980,434,598,552,040,937,827,645,961,320,950,340,757,391,413,490,
429,302,650,341,172,061,778,783,028,491,635,322,673,540,475,287,549,043,436,
833,591,652,592,508,474,559,750,098,640,486,001,648,558,243,850,143,300,388,
989,623,613,932,957,819,661,378,260,911,918,543,951,737,487,996,793,343,646,
748,157,136,998,512,225,653,004,482,181,273,495,981,004,642,758,978,740,394,
929,057,825,352,812,071,534,595,295,123,102,105,152,002,825,792,541,131,051,
626,661,257,560,177,810,427,025,668,467,358,437,874,700,902,237,927,239,041,
754,323,910,251,389,948,039,803,028,885,568,551,939,410,755,837,621,462,486,
645,805,763,653,862,419,665,773,543,095,416,617,558,477,035,592,653,417,604,
333,935,479,486,223,458,328,727,195,783,111,023,338,821,712,974,885,502,579,
300,166,959,821,831,677,241,421,914,365,256,594,703,736,542,838,142,866,539,
763,672,610,930,549,688,397,023,143,561,147,001,167,151,034,002,789,505,493,
913,678,497,468,834,226,688,940,257,262,408,111,134,335,198,529,022,924,174,
214,969,878,472,808,326,736,235,534,955,806,783,446,491,596,401,202,494,653,
553,798,997,983,236,272,346,019,338,150,054,084,482,421,437,449,134,134,878,
286,793,152,493,299,690,209,068,899,283,656,125,703,232,006,466,067,374,216,
306,091,724,122,682,557,531,853,768,620,386,568,969,633,301,134,663,712,554,
690,204,216,473,436,785,601,865,337,908,681,953,679,178,577,175,257,540,760,
829,590,041,037,703,817,904,987,619,616,671,316,074,636,031,211,241,942,191,
961,200,372,296,472,881,060,838,557,185,856,865,985,293,360,011,109,313,466,
217,862,732,244,126,312,230,717,027,126,101,111,117,664,255,744,160,673,079,
181,731,319,563,680,612,460,594,170,643,722,311,872,818,367,178,008,298,669,
197,495,682,791,324,401,696,713,510,450,759,447,574,898,088,100,355,542,832,
580,617,621,085,850,727,240,315,568,597,356,649,360,033,206,339,433,167,283,
658,220,013,003,506,258,427,189,884,991,877,627,844,029,472,269,571,315,547,
214,972,131,460,747,924,798,567,545,692,154,038,379,338,463,449,728,714,272,
993,334,032,236,820,813,926,515,774,574,466,266,213,145,162,391,994,429,300,
433,480,773,432,399,782,706,149,375,804,399,198,606,106,670,183,616,482,812,
964,832,724,080,867,829,826,412,083,975,898,997,243,608,188,577,382,012,274,
246,595,784,716,915,736,713,104,987,862,962,309,857,443,529,267,898,585,635,
414,690,024,689,067,468,947,022,069,885,027,659,868,732,319,174,199,968,397,
414,735,253,023,031,159,236,404,153,909,310,487,336,469,718,637,097,098,696,
051,010,976,028,590,377,294,785,855,781,341,972,912,698,100,070,190,466,434,
772,542,006,820,744,898,026,884,280,654,633,733,887,952,785,614,370,912,286,
909,188,664,774,615,783,852,950,672,042,412,857,059,421,157,264,918,829,002,
562,967,197,195,357,823,143,228,976,084,628,545,236,560,264,671,692,670,186,
203,331,083,922,835,722,608,069,236,657,238,525,390,345,977,115,588,031,211,
817,007,298,011,427,108,871,443,199,081,198,561,137,805,198,580,301,168,342,
275,562,241,012,678,856,167,165,426,087,493,388,908,015,487,187,833,649,760,
897,343,935,447,825,913,502,697,423,477,010,973,459,598,279,911,608,460,287,
441,279,026,500,206,043,401,763,822,443,329,571,796,137,630,871,750,684,500,
222,010,949,492,031,480,561,871,375,917,980,794,497,668,983,994,114,968,877,
236,813,502,650,614,914,954,907,693,612,201,956,563,139,987,023,288,732,674,
966,993,046,495,638,491,083,545,797,356,476,092,997,357,451,626,858,258,287,
996,226,014,599,882,931,744,306,091,889,939,935,417,668,943,565,004,300,747,
370,733,276,909,854,044,676,076,352,742,421,279,872,506,549,110,909,854,773,
667,499,193,152,278,959,822,561,425,255,974,938,455,016,026,055,187,319,903,
824,517,430,716,208,291,977,984,474,472,476,661,311,043,768,704,055,835,717,
762,231,826,143,310,400,240,100,530,231,802,576,333,989,690,264,831,200,081,
837,078,956,466,328,253,151,330,499,189,253,259,972,122,929,577,010,292,614,
704,760,964,927,009,130,577,603,294,516,688,533,487,712,956,063,998,067,579,
069,489,862,680,650,755,687,195,406,220,004,268,606,927,231,246,312,145,288,
077,788,895,639,349,825,087,772,440,668,311,364,661,098,533,023,882,772,837,
710,392,433,481,453,543,038,332,898,675,615,567,898,224,993,749,965,372,196,
886,268,873,707,133,151,468,112,934,154,194,824,645,859,614,280,898,205,416,
282,327,685,983,746,072,026,922,077,816,397,838,390,757,119,223,946,192,049,
195,748,232,648,297,517,658,161,573,629,655,308,536,639,301,258,880,282,202,
889,248,953,759,304,260,476,172,042,432,374,416,218,584,857,280,410,603,651,
370,827,747,352,225,917,998,686,048,054,219,235,249,292,454,701,818,837,093,
525,697,650,738,967,017,997,423,160,658,062,924,492,547,112,812,319,981,250,
396,793,927,659,537,181,709,983,052,013,298,725,665,503,727,244,923,963,998,
861,133,751,049,470,109,468,143,752,687,086,984,269,147,962,828,257,176,706,
744,284,937,590,414,589,688,580,871,100,635,512,906,856,347,313,072,836,960,
953,641,948,923,981,525,058,223,587,342,505,750,146,317,964,513,337,898,261,
752,869,849,072,578,570,427,226,354,057,461,158,117,276,597,759,555,447,010,
670,049,520,898,737,042,601,965,071,380,831,298,364,945,807,348,667,843,984,
559,218,091,020,537,608,309,858,017,858,433,860,900,506,655,119,623,869,101,
107,671,789,275,471,789,880,651,550,695,878,860,252,039,608,464,926,816,698,
991,209,324,576,953,059,167,775,138,193,611,621,168,640,996,289,388,574,611,
035,663,523,897,485,098,861,851,613,564,295,750,134,209,535,216,982,470,069,
052,052,424,953,127,834,935,837,302,436,700,266,759,627,007,635,338,714,602,
117,270,191,406,000,319,889,221,811,537,314,791,998,115,398,710,522,811,707,
285,242,920,978,027,162,553,597,818,278,913,205,572,213,206,961,545,381,644,
056,453,252,157,929,234,363,562,578,743,879,038,279,825,726,365,414,366,700,
449,004,493,526,271,222,405,006,378,097,927,358,181,312,133,721,535,352,095,
757,735,037,904,285,058,561,153,401,116,739,722,553,778,638,242,647,003,067,
612,377,628,862,508,050,408,722,627,826,838,532,254,764,607,955,088,851,773,
167,264,586,739,955,165,153,999,440,714,204,612,276,657,661,507,642,493,521,
858,663,914,717,677,832,355,461,437,339,997,174,676,373,259,732,934,937,629,
665,576,706,956,775,598,162,878,703,785,140,652,338,293,780,263,586,021,563,
796,654,214,658,246,208,797,170,890,528,106,529,008,110,136,507,454,636,107,
207,713,437,752,936,392,523,910,773,176,127,589,500,525,542,546,300,862,362,
080,449,616,993,952,560,760,826,546,770,188,813,526,694,599,677,911,461,977,
970,262,474,751,040,558,760,680,279,440,069,815,214,992,433,151,514,212,147,
729,410,226,037,256,685,836,428,616,957,491,102,431,728,992,122,829,099,730,
776,894,677,815,796,252,495,388,174,815,974,849,336,294,598,323,653,182,772,
824,808,680,522,389,973,023,669,266,315,857,974,855,725,878,301,811,147,349,
498,368,651,461,120,490,035,175,610,720,714,627,865,251,107,383,463,501,278,
200,680,721,100,703,407,367,934,116,360,316,961,567,743,885,344,387,075,084,
347,284,108,201,517,718,503,241,486,952,839,552,199,872,847,529,712,251,776,
239,825,684,549,290,400,189,690,128,147,070,764,795,067,797,301,945,899,353,
448,068,712,092,260,253,696,569,583,110,914,943,832,381,937,485,496,611,658,
860,609,752,804,410,988,508,114,519,869,404,761,561,501,022,597,194,238,571,
730,705,215,633,620,762,131,184,699,728,451,981,547,736,131,809,729,164,350,
504,478,421,432,222,022,604,139,570,725,919,341,345,621,711,150,737,852,445,
298,137,700,335,267,577,446,712,857,266,128,965,926,082,236,570,837,470,242,
033,785,658,181,004,129,739,477,403,235,257,688,792,391,265,989,851,280,229,
632,051,994,873,256,645,642,359,111,738,364,599,917,867,623,270,278,002,253,
292,380,525,566,383,076,998,505,691,227,119,925,261,438,592,018,785,610,062,
882,718,410,917,947,447,621,837,640,098,805,835,577,865,092,471,312,302,378,
356,767,813,756,950,194,253,200,311,825,506,428,812,713,404,319,361,363,195,
525,815,848,121,078,529,847,609,623,229,366,119,802,497,941,469,492,915,795,
863,998,575,736,643,974,121,172,189,268,816,971,322,224,663,389,622,879,555,
872,283,165,596,070,086,846,395,738,097,988,012,424,710,637,626,135,875,889,
326,898,073,369,465,930,343,953,054,720,303,126,049,407,996,680,615,892,496,
809,807,448,051,073,920,882,376,778,924,121,383,015,677,513,869,897,417,489,
767,881,187,735,498,370,217,106,509,303,583,591,964,551,411,220,371,480,096,
363,323,147,879,024,008,555,142,508,184,212,942,088,029,537,457,220,192,579,
444,218,322,076,264,229,440,269,609,571,944,221,536,022,545,011,733,305,312,
952,080,500,596,045,591,666,739,108,837,104,551,363,246,683,084,518,176,683,
552,459,469,016,847,645,225,018,988,700,462,531,006,476,663,207,960,256,400,
403,891,026,023,168,746,746,145,719,318,959,263,956,671,075,614,934,808,069,
908,368,747,450,105,107,155,168,763,894,416,020,033,316,027,714,220,852,745,
058,300,587,033,603,724,448,013,706,920,523,890,124,928,387,181,467,513,897,
768,567,515,804,232,455,888,677,163,142,629,926,215,649,962,391,925,988,338,
226,664,621,128,943,767,731,948,893,058,579,294,527,673,752,683,886,063,123,
733,747,333,494,969,106,302,287,051,013,841,388,077,259,650,447,876,320,004,
577,134,885,731,857,462,664,147,868,140,998,895,569,639,937,698,936,428,471,
976,674,168,412,942,087,779,199,512,133,741,581,718,129,946,818,062,021,158,
061,061,252,186,646,193,379,968,051,924,632,277,176,144,281,948,792,265,486,
801,120,439,697,814,745,758,247,451,727,450,181,678,738,008,939,290,386,142,
089,598,879,401,351,362,562,714,355,567,857,747,191,503,416,171,311,071,542,
865,640,934,948,575,991,441,573,815,347,680,346,058,239,054,388,105,323,401,
721,332,233,046,872,248,402,495,443,573,485,728,050,254,669,761,553,535,516,
712,229,679,013,289,373,732,226,956,544,144,552,850,672,191,758,147,509,595,
667,618,209,011,652,972,658,329,376,340,109,785,482,488,996,464,397,026,417,
681,864,047,676,288,198,454,120,116,772,766,193,285,875,961,871,399,145,452,
203,265,853,493,894,463,329,139,530,421,334,808,503,596,118,187,474,438,492,
347,191,069,703,572,710,783,324,483,637,238,730,796,129,917,690,881,632,914,
151,512,796,798,996,367,790,907,833,844,644,194,387,539,884,335,208,284,233,
580,611,658,790,275,321,201,061,380,651,933,799,645,429,814,175,531,585,275,
957,180,844,112,685,237,071,832,261,873,088,574,847,380,778,275,470,184,307,
271,856,139,001,022,086,983,847,755,992,525,944,801,260,778,352,981,959,983,
444,006,808,438,709,686,391,453,804,209,734,578,686,778,936,429,582,468,466,
405,486,625,749,023,759,475,676,270,738,208,308,546,551,560,719,680,715,091,
017,194,792,616,332,303,848,712,237,008,815,785,027,018,518,443,820,849,066,
776,004,191,435,806,770,525,656,468,794,243,557,824,901,997,228,565,592,388,
960,594,565,838,426,133,273,271,270,264,417,264,704,525,164,804,162,957,020,
033,544,966,652,087,361,501,156,810,145,722,667,940,870,906,895,263,708,512,
538,925,183,224,371,046,485,608,772,882,126,210,491,568,793,944,029,049,072,
145,201,514,965,688,061,027,404,318,937,740,836,903,557,482,102,325,461,736,
284,250,972,740,650,296,696,409,249,972,022,886,791,523,864,810,384,500,270,
319,097,736,823,136,676,457,722,229,142,550,826,690,538,589,207,070,355,773,
694,542,212,490,092,858,493,416,264,414,650,104,412,867,410,631,102,901,001,
410,630,657,233,092,212,607,727,406,792,598,007,027,920,634,601,292,653,190,
647,066,565,917,806,115,605,558,035,648,840,992,011,909,185,628,195,771,642,
335,204,011,944,759,034,917,290,649,897,339,708,623,939,107,537,958,399,134,
125,267,514,394,401,830,661,350,471,957,164,991,380,477,287,584,050,688,755,
203,906,773,007,365,737,084,160,966,779,989,693,049,452,941,264,250,466,862,
260,726,892,375,827,920,341,223,488,346,918,022,000,440,484,685,934,620,772,
029,363,059,506,422,505,511,141,421,401,849,556,810,724,429,857,721,363,615,
214,082,762,768,484,922,718,026,661,666,838,267,242,670,033,349,287,584,943,
782,595,721,798,679,999,152,177,808,037,105,482,985,791,906,159,538,261,667,
009,357,100,584,369,809,081,330,489,440,488,163,204,557,034,821,517,801,802,
002,666,406,862,506,973,342,726,567,978,044,816,128,063,517,630,629,901,080,
727,392,416,293,622,723,735,198,862,867,839,282,080,091,887,215,262,763,167,
501,459,536,028,805,299,022,282,293,057,690,384,709,591,639,971,383,418,079,
414,450,414,825,815,512,358,134,414,514,958,059,822,767,012,029,992,370,653,
971,733,873,206,207,106,428,322,965,818,891,237,917,086,528,385,084,201,398,
696,484,457,947,019,949,333,986,805,835,315,361,640,907,652,095,632,440,079,
002,709,001,354,220,291,486,887,145,029,462,766,255,424,048,715,634,326,311,
500,226,518,782,191,520,232,838,404,130,157,871,533,573,955,858,685,167,466,
155,329,369,930,052,622,334,264,591,324,327,190,675,560,454,523,959,379,537,
499,461,894,399,915,132,431,751,048,302,364,476,308,101,461,659,826,859,722,
463,684,860,142,192,019,168,911,226,724,959,435,750,974,767,513,323,965,875,
370,409,906,291,296,257,856,736,346,623,721,732,057,748,386,208,057,493,470,
359,590,802,735,607,151,792,081,179,729,592,640,617,130,430,163,406,317,045,
632,472,213,933,560,650,817,199,514,272,753,713,613,736,932,609,960,326,599,
304,585,984,509,308,294,113,493,866,537,955,239,659,075,820,681,887,118,446,
547,108,773,500,413,365,582,665,216,256,446,667,026,962,510,842,939,506,428,
126,791,527,253,478,102,336,415,630,252,826,146,172,363,955,684,077,641,617,
921,307,191,804,176,973,350,320,376,340,990,371,314,364,262,083,417,087,149,
761,700,885,169,673,578,918,522,591,234,807,809,901,261,610,161,750,370,574,
552,180,204,155,603,199,248,051,329,218,579,638,279,817,594,338,335,127,302,
498,266,362,741,215,834,655,467,914,804,067,103,592,001,505,597,235,072,364,
928,793,101,531,547,771,871,023,785,809,735,675,417,688,187,967,599,683,045,
584,916,394,279,469,169,184,435,633,107,899,505,675,248,698,842,865,430,119,
935,503,549,751,055,724,057,063,608,410,064,269,264,163,979,867,524,199,728,
942,178,895,519,496,958,173,721,317,915,897,630,747,970,343,940,631,242,821,
050,083,058,690,356,265,316,859,338,011,328,391,492,684,861,817,396,352,079,
777,942,771,621,735,518,129,299,008,774,600,576,474,022,972,500,905,929,694,
732,367,742,756,552,606,849,330,440,155,845,556,130,705,316,739,438,602,155,
950,083,562,895,431,986,508,904,629,124,854,666,116,210,453,605,137,552,569,
493,797,399,557,562,790,154,042,757,208,735,069,855,564,653,574,870,029,147,
208,758,934,773,239,734,261,321,356,767,868,126,756,969,403,356,708,317,144,
019,799,411,325,721,791,476,565,524,417,247,581,961,229,703,661,342,341,537,
567,263,204,609,600,957,046,169,483,025,584,422,285,542,405,495,742,055,041,
169,014,469,083,610,532,668,195,839,918,969,282,394,518,288,621,049,191,420,
775,431,390,043,887,431,727,319,140,823,419,610,149,006,368,437,485,219,441,
668,088,545,431,781,661,602,017,072,099,369,449,490,274,849,015,075,345,244,
967,989,072,122,820,811,087,644,963,473,683,988,019,601,812,368,644,201,258,
100,319,247,255,395,395,576,015,104,713,411,100,681,054,225,883,525,081,985,
579,787,005,156,632,328,467,243,694,492,409,038,709,343,929,068,423,970,805,
367,034,255,138,274,425,527,556,911,141,000,593,121,784,935,621,871,021,116,
797,809,257,913,097,183,486,314,793,774,582,194,659,840,491,180,915,351,716,
060,933,748,270,992,050,479,260,652,764,425,620,181,767,351,941,487,211,802,
498,431,256,084,884,463,693,010,718,141,806,513,992,323,471,446,914,883,409,
361,882,089,425,608,755,574,303,555,159,659,700,725,637,545,820,867,756,255,
855,333,414,070,126,137,350,990,024,128,776,804,033,357,580,975,012,102,298,
299,846,103,436,857,767,754,101,182,081,714,730,512,477,069,640,042,632,844,
956,871,612,915,887,871,552,366,047,939,615,793,972,902,564,512,686,109,749,
199,494,107,256,125,407,952,261,098,244,945,038,463,301,173,221,985,711,369,
031,382,170,558,371,759,963,828,143,988,009,508,068,709,152,890,560,388,634,
593,732,252,929,652,916,830,031,488,852,850,882,015,457,543,273,112,365,170,
915,138,863,095,233,803,682,197,616,207,444,444,291,583,591,774,472,880,143,
534,176,179,047,183,502,351,766,464,517,972,004,631,684,892,449,584,920,463,
985,164,444,781,856,132,071,666,162,537,289,734,630,466,977,194,263,049,025,
348,401,450,602,558,541,678,600,853,154,109,481,460,940,741,492,036,318,761,
472,100,019,740,623,787,812,820,032,375,997,318,319,141,070,879,667,042,993,
855,021,950,103,858,021,966,697,004,708,588,925,881,471,924,753,401,485,524,
103,714,703,212,901,870,618,126,431,813,156,440,685,892,331,196,878,380,916,
361,809,238,510,250,570,624,145,245,875,644,222,102,488,709,797,535,198,641,
770,984,919,691,893,334,558,029,374,897,790,888,770,891,911,771,608,049,317,
573,149,876,064,179,924,211,265,049,758,538,135,008,600,851,061,551,916,031,
230,269,640,014,990,105,108,082,480,218,507,646,429,892,161,760,554,723,672,
293,877,019,733,424,905,972,421,915,130,755,269,535,405,380,203,647,882,679,
896,178,440,780,404,615,596,546,844,190,014,609,953,047,767,580,792,212,757,
415,469,000,150,550,609,640,463,123,422,790,238,386,306,034,884,736,654,392,
237,222,255,437,844,575,146,761,550,665,006,809,208,616,948,537,186,422,275,
998,478,513,456,203,743,075,351,578,331,040,852,685,699,856,944,825,402,079,
242,882,489,420,522,550,191,226,579,310,576,787,267,656,896,750,864,525,488,
730,265,400,055,534,529,348,222,586,290,912,200,349,493,870,867,121,675,851,
534,983,320,333,828,180,553,649,316,794,968,383,339,923,298,574,647,396,885,
191,339,291,244,693,564,246,652,431,647,548,062,002,396,598,081,353,688,482,
550,035,975,929,156,095,053,780,317,764,541,615,226,037,911,712,533,184,716,
352,998,239,442,219,618,349,179,347,381,104,811,479,295,688,793,596,296,949,
396,555,999,483,984,077,568,701,194,510,818,527,444,046,871,914,674,389,384,
837,527,367,715,325,953,853,626,147,108,496,982,981,220,897,102,652,200,420,
889,753,435,434,741,955,443,852,823,531,600,610,120,460,714,100,070,581,161,
913,734,436,232,571,710,134,204,835,314,106,623,973,208,517,385,360,392,594,
370,298,581,371,820,302,209,022,431,007,671,960,530,369,618,181,127,836,127,
928,613,258,133,972,156,400,466,244,487,584,523,013,590,758,624,458,890,798,
675,659,714,241,605,212,880,592,308,514,624,389,736,106,975,386,612,863,966,
101,853,881,984,902,384,426,001,620,846,494,275,639,475,364,670,016,194,331,
605,369,443,280,081,338,012,969,684,642,633,014,774,529,449,890,198,067,026,
852,589,795,965,681,668,585,035,601,050,267,103,394,505,683,768,360,916,191,
449,635,063,334,775,829,837,704,341,494,181,928,105,796,689,779,888,734,771,
212,571,664,182,869,984,463,074,635,296,507,944,382,126,541,837,138,493,694,
068,965,820,448,315,162,969,451,853,040,808,416,456,856,813,918,621,978,711,
372,936,111,141,071,360,276,384,408,684,379,508,607,378,221,320,522,685,001,
648,336,828,559,046,701,666,949,930,440,509,452,749,282,694,682,490,137,799,
637,501,510,108,291,092,616,312,391,770,133,708,086,739,171,267,650,032,541,
443,461,703,737,818,457,614,273,586,169,353,816,869,377,345,681,941,995,176,
527,550,766,698,233,425,761,524,646,427,754,290,496,573,061,937,937,348,959,
327,248,455,169,315,726,595,942,217,081,160,901,314,185,543,157,742,131,524,
455,909,600,540,135,121,152,734,525,515,955,787,174,187,497,306,044,867,372,
399,515,593,977,457,574,230,255,681,650,979,295,202,079,664,958,964,778,693,
346,756,183,622,811,649,858,929,380,265,817,090,777,289,164,679,036,458,276,
730,971,803,476,350,697,730,088,604,025,664,296,314,690,535,908,280,559,494,
453,900,602,640,942,597,479,881,020,148,034,218,548,527,927,766,049,622,796,
214,850,265,599,852,600,485,887,575,284,881,243,416,596,640,884,662,407,137,
944,770,997,510,227,018,654,450,956,097,035,898,964,226,272,756,395,791,884,
040,688,957,371,973,127,968,934,969,823,233,495,204,986,886,428,207,019,743,
928,184,137,675,135,040,242,405,062,593,226,876,861,115,182,941,236,625,023,
808,166,229,660,825,562,404,280,132,228,236,995,826,631,590,537,907,413,950,
017,599,354,766,914,740,970,223,827,231,355,545,656,560,732,985,768,710,595,
396,852,773,318,828,131,333,299,295,012,780,767,190,667,521,747,639,313,947,
412,685,778,309,777,917,409,525,783,330,348,820,278,885,828,790,594,878,726,
923,284,623,879,256,425,763,264,236,731,018,540,706,922,264,508,346,418,944,
171,713,826,580,183,835,093,515,307,465,494,543,991,320,014,360,487,147,766,
545,703,736,243,535,437,074,900,978,650,106,697,205,487,241,652,215,328,282,
586,077,099,462,088,062,983,148,756,898,500,731,245,742,435,682,144,652,752,
996,490,130,096,930,419,390,847,008,060,113,976,849,884,562,423,431,419,037,
043,378,042,257,460,473,436,644,855,930,748,845,296,986,909,806,542,860,538,
090,491,004,607,949,393,834,470,597,807,522,992,803,563,395,397,650,938,752,
246,129,911,062,373,163,743,931,310,634,572,798,676,032,315,007,174,508,053,
000,441,653,350,865,073,747,752,579,703,674,022,209,067,517,721,104,533,413,
877,226,989,576,227,525,796,909,485,974,590,818,881,166,898,868,921,008,856,
670,887,570,079,395,832,122,698,453,625,471,366,798,949,345,841,010,035,949,
958,635,390,045,251,882,765,812,954,096,229,319,293,690,174,551,150,214,465,
401,133,755,137,867,115,084,897,273,734,606,101,514,635,221,238,053,634,361,
084,857,337,771,144,071,317,004,059,365,950,608,752,966,138,257,368,957,251,
995,706,379,048,396,533,985,343,799,988,019,258,075,931,156,864,350,905,961,
179,155,773,245,920,027,774,500,363,326,531,595,794,439,638,722,483,757,234,
582,400,289,446,748,134,648,602,828,040,091,633,985,299,277,032,353,121,858,
228,760,468,134,120,323,802,992,386,607,542,028,928,550,988,425,634,670,700,
206,717,995,323,086,958,820,276,885,135,020,866,972,140,826,994,072,920,051,
993,713,444,427,730,618,335,132,667,803,569,492,165,668,733,821,000,529,590,
460,111,485,407,157,683,402,113,694,811,618,820,941,311,294,403,927,595,456,
079,162,322,154,418,184,839,060,402,884,312,999,943,202,908,511,524,281,397,
641,883,503,625,468,040,628,183,600,533,531,189,681,761,349,132,247,958,886,
745,321,832,772,814,682,865,531,862,243,438,363,079,183,461,989,002,717,585,
260,720,310,909,493,436,897,562,521,530,520,939,535,518,556,303,804,383,426,
831,890,392,012,056,674,372,524,578,294,487,083,583,784,663,294,204,416,920,
811,818,410,646,806,867,857,081,587,789,726,260,041,848,186,267,378,980,693,
542,277,842,748,559,430,258,120,874,346,524,529,070,057,886,743,855,218,302,
968,781,842,878,497,586,574,200,647,305,420,756,937,976,030,341,928,989,765,
655,238,655,156,562,964,635,423,540,216,627,274,417,531,162,783,783,157,345,
205,889,360,611,778,177,556,032,618,652,833,172,121,720,013,710,990,375,213,
345,973,898,237,214,707,370,251,841,406,968,836,745,087,923,708,943,010,573,
882,562,206,742,597,761,766,177,901,917,949,217,616,394,286,948,873,692,029,
146,203,067,555,990,689,919,871,317,602,140,358,197,756,461,928,771,509,639,
904,531,751,163,027,510,812,194,141,869,972,612,631,637,083,941,370,469,400,
706,576,135,042,149,678,896,873,655,692,346,445,976,893,162,670,723,344,272,
292,013,806,312,559,167,824,687,390,944,031,042,860,555,576,654,381,441,349,
820,770,460,832,121,353,136,117,231,098,577,330,278,010,713,029,133,105,057,
028,312,610,692,591,263,784,185,891,994,885,127,845,626,219,498,828,146,489,
506,992,876,476,491,569,608,139,237,759,938,303,314,345,795,434,010,676,769,
721,662,045,281,938,530,530,356,822,296,449,878,491,882,333,863,044,275,103,
251,804,313,370,925,897,052,294,257,154,765,453,321,568,829,999,962,703,861,
588,529,673,636,036,983,196,960,301,307,630,979,635,006,308,612,094,514,900,
149,025,191,127,553,456,218,143,387,516,458,793,018,752,925,891,804,245,409,
408,301,740,676,957,267,291,409,552,634,592,299,024,752,812,922,041,966,512,
628,151,344,361,223,280,655,577,495,980,605,872,941,874,368,633,597,795,101,
065,944,775,008,352,892,470,885,644,854,844,899,288,413,442,074,196,586,368,
381,820,263,663,051,147,536,901,706,659,817,946,937,939,465,932,882,225,734,
546,279,123,639,988,470,999,379,969,159,337,745,823,893,428,264,780,631,017,
813,159,293,182,499,044,690,760,810,728,757,184,342,821,382,575,378,671,753,
243,735,192,942,680,023,168,800,518,999,904,367,510,664,272,341,839,950,721,
416,708,915,292,090,846,212,757,858,825,584,016,241,038,036,632,350,750,062,
678,934,738,377,392,986,799,376,209,150,190,296,099,089,882,661,120,999,338,
367,665,916,706,142,485,328,913,232,745,960,250,507,776,719,366,152,508,004,
014,127,172,813,605,962,288,999,819,488,267,449,241,655,060,282,578,169,982,
324,604,371,670,732,797,344,942,423,444,512,736,329,394,262,784,510,688,727,
228,600,809,658,402,230,107,416,753,684,890,383,528,888,763,356,206,286,336,
007,617,004,108,262,979,352,190,388,896,523,765,471,466,913,676,719,221,948,
588,078,315,769,317,148,891,284,094,221,229,056,843,334,578,440,788,975,264,
022,451,258,467,860,148,729,164,835,014,676,993,823,807,670,856,197,090,479,
916,318,471,783,541,450,192,825,310,298,055,274,775,502,031,729,362,980,100,
394,010,433,945,601,018,525,637,761,202,735,680,329,700,954,039,212,580,933,
906,494,952,015,210,559,654,029,864,743,411,163,457,935,121,543,829,083,656,
558,569,924,816,132,456,782,720,133,056,119,317,928,522,270,906,213,776,910,
235,241,326,169,046,664,392,616,560,305,844,746,558,958,760,469,376,262,208,
603,636,965,263,273,090,511,044,538,987,114,064,401,194,322,367,874,843,695,
241,311,086,345,556,442,929,478,026,137,742,738,396,397,262,615,759,088,565,
911,960,398,911,295,751,350,713,569,447,865,959,706,187,316,437,506,646,874,
441,686,201,291,596,274,286,532,881,847,928,836,699,705,262,713,946,272,796,
362,883,855,842,122,946,366,740,181,241,257,789,261,407,749,543,792,922,026,
910,988,073,677,681,213,575,993,383,311,479,643,270,961,773,951,945,555,789,
518,088,372,477,884,147,645,758,439,295,216,706,700,892,843,859,358,195,607,
673,750,237,259,066,271,148,939,834,507,724,906,242,723,226,004,212,960,458,
046,002,076,505,097,452,290,960,024,594,672,626,210,244,002,389,260,599,205,
445,059,433,134,559,416,596,406,269,771,942,622,726,079,474,822,216,615,176,
659,965,142,541,844,518,258,769,406,899,937,828,663,697,180,435,930,459,706,
251,033,198,974,008,866,357,567,592,972,402,609,519,169,689,025,963,278,005,
412,502,605,256,103,350,279,311,777,090,306,410,299,327,117,790,870,558,837,
829,240,064,689,577,872,614,948,884,273,056,938,298,443,131,234,172,822,891,
706,091,955,349,678,843,672,601,498,133,448,652,863,528,041,718,901,801,924,
522,447,789,179,631,523,902,640,798,914,555,160,892,285,995,421,276,810,405,
988,781,320,019,835,847,891,978,447,313,624,730,789,212,157,190,122,459,547,
464,990,697,888,445,910,775,446,821,974,612,965,703,816,345,500,059,189,915,
677,400,758,726,809,579,121,432,113,755,355,282,388,018,155,638,663,125,617,
279,377,858,796,563,240,952,899,202,130,377,387,439,994,517,762,878,031,949,
797,108,112,201,892,693,934,054,966,873,096,390,161,001,783,321,432,694,600,
220,199,684,152,775,874,627,242,586,654,911,486,370,528,782,810,865,113,448,
324,594,668,857,650,895,400,641,164,178,137,823,571,379,377,989,000,913,475,
339,728,257,531,200,291,525,878,221,774,748,551,064,238,623,926,782,891,187,
081,404,979,930,962,899,653,065,254,276,831,874,803,521,945,550,713,159,959,
398,939,826,911,309,463,096,836,196,398,607,082,216,309,441,806,492,464,001,
686,424,751,921,358,118,651,460,478,518,248,856,520,647,540,395,433,806,063,
754,907,577,560,697,834,643,950,623,190,510,420,845,176,023,278,448,434,928,
556,460,687,397,432,455,854,511,665,957,746,809,869,222,280,792,831,228,968,
273,867,033,880,890,901,808,164,324,839,837,189,027,379,740,648,737,869,700,
295,663,653,724,814,014,566,671,081,805,178,864,503,067,004,251,562,065,391,
988,089,119,792,212,586,874,631,481,155,590,987,820,153,403,338,916,425,642,
565,765,574,603,461,112,717,456,783,246,062,876,060,597,014,030,498,887,969,
065,932,050,027,159,461,048,489,888,690,332,376,692,482,052,808,247,327,564,
347,309,765,581,504,649,883,851,945,707,433,659,180,922,506,897,023,302,399,
234,782,203,024,882,969,250,226,987,298,840,939,511,363,273,504,571,404,986,
972,988,960,098,776,104,479,129,713,350,579,323,094,806,334,424,354,329,714,
661,308,341,621,782,667,954,307,508,164,249,406,370,548,653,734,931,484,219,
582,807,176,418,488,809,498,258,066,975,985,477,153,839,432,011,433,511,455,
841,995,219,262,152,937,537,651,133,390,011,755,028,387,213,076,259,981,874,
656,027,820,497,799,118,648,706,701,489,706,324,481,502,907,478,859,032,880,
759,158,342,857,499,533,074,266,766,371,666,994,892,643,454,337,166,102,622,
701,715,907,903,351,946,591,772,200,877,475,630,488,730,241,187,110,197,065,
549,699,105,693,931,563,759,032,196,574,441,427,196,755,318,636,608,985,151,
612,727,360,027,596,725,012,863,705,381,478,764,630,976,411,727,444,359,572,
990,861,402,274,188,031,258,062,183,341,869,191,422,724,321,160,193,739,671,
013,941,485,918,077,432,163,924,595,876,139,015,486,816,089,331,130,312,472,
565,068,867,150,578,116,863,694,329,565,856,823,891,669,790,201,708,837,514,
009,510,006,076,264,444,587,597,974,483,031,164,815,938,532,436,597,968,955,
964,468,702,423,536,222,654,210,306,117,561,666,162,305,172,745,501,334,303,
314,999,788,075,702,535,751,964,468,092,723,048,210,082,509,699,056,114,964,
218,671,931,968,458,893,000,502,516,849,330,516,489,203,942,356,646,345,704,
177,017,488,559,534,245,710,003,624,323,065,211,199,660,124,730,507,465,951,
010,948,134,187,514,695,244,265,786,603,291,914,865,352,012,354,796,875,487,
026,638,414,881,571,800,143,733,945,933,522,861,404,024,766,454,828,932,336,
421,953,509,303,825,682,422,887,402,964,002,352,766,803,484,804,613,039,806,
038,003,124,395,436,481,045,521,036,885,604,745,646,072,278,344,079,061,816,
801,726,044,664,480,509,347,910,973,699,944,891,210,328,971,531,188,497,048,
200,800,693,002,909,093,320,652,919,215,546,167,835,380,486,225,338,275,890,
675,332,884,160,990,903,657,857,616,282,148,014,281,653,985,324,318,875,473,
384,758,232,622,846,255,335,734,278,700,873,751,169,168,433,980,526,823,250,
980,509,729,011,273,216,422,028,096,054,745,966,868,181,590,801,297,735,164,
383,842,483,353,226,331,660,097,639,224,872,819,011,360,463,220,565,527,898,
576,578,655,743,426,368,011,318,946,230,465,503,868,003,001,626,545,111,631,
926,286,001,834,882,025,960,388,185,274,447,892,249,484,471,578,514,871,065,
513,998,944,420,948,675,967,097,630,911,790,701,584,503,950,279,600,775,159,
987,313,407,697,416,829,803,813,848,457,881,874,928,727,761,906,960,561,715,
541,900,234,712,631,646,827,551,951,513,041,919,345,387,320,814,650,925,470,
854,540,392,170,816,706,842,719,318,942,696,249,564,407,575,546,352,714,280,
455,600,139,647,581,030,401,945,456,857,388,558,753,453,623,483,217,190,284,
198,537,299,344,348,836,138,723,928,882,559,260,314,729,800,969,245,003,000,
168,780,783,063,844,313,971,951,897,414,952,145,148,839,893,741,752,462,356,
334,451,866,097,890,811,801,662,720,626,665,059,860,655,515,242,960,619,534,
231,855,377,855,838,888,228,447,687,741,633,864,655,771,958,058,667,788,034,
659,516,156,340,984,923,629,759,948,958,967,153,422,746,083,474,710,727,119,
696,525,697,862,867,993,477,600,705,372,281,791,499,434,980,872,014,370,951,
837,474,330,800,592,516,648,017,568,661,278,975,844,297,728,685,186,758,239,
909,589,772,355,569,966,796,054,293,429,729,139,420,134,631,141,364,500,576,
578,412,358,411,195,565,941,886,677,671,273,390,477,004,847,145,450,734,917,
217,293,577,174,863,393,422,217,626,125,494,756,031,011,279,607,115,894,604,
551,184,899,542,990,994,049,326,532,755,099,510,602,598,393,944,396,063,915,
317,317,046,799,195,202,988,376,322,629,014,269,996,165,886,274,140,809,397,
393,130,025,398,533,418,887,939,975,686,140,984,718,401,528,881,324,569,444,
583,063,071,798,262,380,157,487,503,403,972,479,680,069,669,337,950,145,076,
807,109,867,962,253,898,067,394,110,781,199,991,407,861,556,709,606,464,054,
969,025,033,844,625,604,381,892,342,115,458,294,086,705,135,946,093,823,780,
038,907,966,447,900,541,222,415,822,263,163,026,150,904,871,615,458,434,153,
224,351,303,156,721,290,011,414,601,264,069,267,730,754,400,545,302,038,239,
396,645,330,707,676,304,329,619,660,044,819,963,027,402,138,985,282,937,001,
838,838,908,566,198,174,788,750,709,931,165,828,438,912,780,051,229,177,209,
973,198,588,350,852,896,659,146,848,856,198,064,298,291,636,555,450,609,228,
089,876,164,569,148,047,926,661,954,349,219,042,573,156,939,547,962,458,224,
083,634,989,481,524,500,143,241,105,278,022,191,213,437,704,333,796,243,139,
731,586,175,736,476,941,938,493,609,617,305,612,239,801,257,359,797,029,723,
976,674,241,901,317,884,324,514,675,490,483,553,995,836,875,233,426,279,223,
191,840,282,713,572,926,224,700,620,076,757,091,903,620,128,172,220,162,436,
201,033,716,637,331,743,483,139,774,054,452,742,904,572,144,375,949,758,577,
202,884,716,769,463,263,339,527,239,184,589,817,186,769,781,589,173,387,482,
264,190,003,348,756,679,197,529,788,538,313,535,089,728,610,743,285,815,745,
688,613,817,748,048,865,796,985,674,502,621,097,231,589,550,755,939,077,445,
925,310,258,689,380,371,546,094,136,124,606,001,792,017,275,717,467,375,239,
184,141,421,873,915,489,115,344,877,083,079,359,801,423,607,055,803,498,735,
070,572,475,816,155,362,210,271,791,221,790,045,590,444,249,319,316,362,554,
943,062,369,112,772,680,078,673,443,112,631,814,149,653,589,864,663,736,974,
266,207,580,380,161,897,423,575,489,989,102,416,366,004,548,931,381,897,660,
902,743,165,388,116,058,158,519,891,953,131,911,473,313,105,281,468,259,781,
073,982,982,514,902,697,587,517,369,515,807,569,370,419,189,058,040,324,071,
243,671,375,606,750,880,472,676,537,302,875,986,864,648,913,314,516,117,021,
936,030,653,928,499,102,740,177,089,157,103,235,822,283,922,432,782,769,412,
761,726,627,718,890,495,845,193,007,442,680,912,023,731,786,195,077,111,726,
615,139,763,813,221,199,919,460,043,615,471,955,125,758,729,510,524,037,336,
349,201,566,195,552,908,941,332,312,992,553,008,936,564,598,296,793,481,742,
680,809,939,056,084,502,323,210,965,593,318,225,662,541,616,006,392,191,276,
161,116,643,484,693,572,060,628,435,968,427,058,676,691,113,670,143,560,295,
319,369,810,859,682,739,076,579,427,620,059,893,819,351,109,124,490,443,655,
586,644,806,848,241,627,270,677,772,866,286,468,413,072,527,846,396,580,176,
328,803,866,375,560,096,881,623,294,659,878,423,641,113,574,585,211,384,437,
249,821,009,556,774,683,692,412,905,491,002,968,516,783,442,722,783,221,148,
627,797,222,451,160,623,387,216,468,083,331,186,271,698,659,700,518,618,065,
297,983,250,632,018,894,507,552,212,421,489,980,807,364,954,433,100,912,476,
797,741,142,188,467,326,013,424,212,811,660,177,457,522,543,176,744,796,833,
927,758,417,678,836,598,801,381,928,242,227,856,645,264,765,729,328,063,935,
273,686,011,876,342,338,628,751,409,529,263,683,508,834,784,572,966,043,069,
958,226,620,022,616,492,833,977,292,809,633,021,672,327,222,607,061,954,372,
660,814,603,136,861,696,294,105,282,041,998,492,827,074,001,664,767,444,301,
503,274,068,986,344,779,369,328,932,941,457,016,112,657,545,830,613,732,743,
108,489,808,124,398,000,148,385,340,457,958,481,006,255,533,293,049,752,805,
363,279,852,466,705,288,690,578,199,699,937,440,891,864,839,822,058,192,954,
549,866,217,028,371,166,559,230,175,066,288,721,864,462,949,412,200,095,794,
628,080,640,864,399,418,075,880,612,264,833,917,761,195,168,984,039,047,283,
467,593,858,322,303,974,462,560,638,536,603,224,468,808,865,038,459,692,009,
049,809,616,757,259,298,961,462,706,219,978,594,642,713,516,655,759,628,766,
522,259,896,457,515,146,747,522,475,489,596,246,158,974,916,211,010,844,724,
859,298,742,462,988,836,618,668,184,833,532,985,599,741,545,194,352,201,832,
229,773,881,690,929,335,992,650,080,916,540,654,884,794,485,474,288,253,857,
025,623,330,351,413,769,259,100,708,650,928,176,920,851,919,582,635,138,464,
927,518,740,853,299,046,633,292,245,179,995,957,873,529,295,971,503,399,129,
045,466,715,372,667,984,918,194,153,767,061,518,756,158,313,817,711,225,084,
145,248,957,209,487,489,463,832,671,797,061,336,035,135,708,149,510,882,263,
495,827,894,737,732,742,138,442,230,093,837,582,921,089,170,953,464,113,545,
832,534,535,814,353,312,622,252,357,174,310,337,202,311,107,582,542,240,483,
423,644,531,054,948,048,624,375,165,398,623,547,268,737,780,127,682,897,612,
263,978,775,235,238,341,759,905,229,797,698,268,519,692,268,463,195,184,337,
327,935,948,038,830,337,291,052,891,196,035,439,070,977,571,640,538,915,886,
491,130,800,066,094,075,619,220,697,259,867,287,462,132,806,079,099,270,064,
076,784,190,373,078,060,105,825,820,200,351,753,268,685,898,008,480,621,086,
362,518,780,150,125,922,694,870,586,114,528,865,847,301,772,970,900,826,867,
322,005,058,407,296,078,500,306,204,066,929,372,582,481,447,245,713,798,919,
148,363,938,542,522,290,413,422,139,357,452,620,241,348,201,628,863,263,645,
083,417,114,697,692,691,371,568,408,380,112,413,281,867,827,596,364,995,832,
234,036,641,626,328,039,677,359,003,650,087,404,799,488,866,941,848,684,331,
883,603,449,882,996,859,136,819,287,349,181,133,365,234,650,454,550,680,572,
588,764,690,323,244,374,654,231,702,378,716,468,225,598,747,360,727,113,466,
691,285,645,798,984,015,582,307,396,294,483,288,386,566,339,772,968,411,959,
529,215,142,386,860,299,212,062,257,796,500,569,865,733,601,206,164,912,976,
830,695,333,748,648,111,144,097,009,081,378,804,357,511,215,219,699,611,837,
712,022,534,777,706,530,973,901,089,331,332,705,802,144,495,504,624,063,674,
350,949,514,841,110,553,073,554,159,984,712,572,626,243,258,204,634,482,372,
349,546,725,286,365,124,045,735,244,157,063,741,744,185,524,817,645,306,518,
172,982,126,874,468,116,408,226,472,394,008,688,965,316,539,317,817,521,126,
279,221,827,719,661,974,117,556,437,277,860,677,505,661,873,333,250,637,240,
767,539,570,855,214,293,837,097,278,965,987,144,154,303,755,893,612,184,754,
656,062,277,881,577,411,357,159,555,683,266,353,984,498,028,882,339,977,403,
693,233,852,439,437,514,552,962,029,470,397,127,426,412,622,552,383,942,028,
807,603,164,664,460,103,470,688,510,892,236,077,522,539,459,590,246,046,222,
159,568,543,920,964,187,883,568,466,153,755,073,732,912,944,819,511,163,437,
667,111,755,221,178,257,960,100,433,734,394,221,470,037,677,815,607,929,641,
195,527,569,378,306,028,165,568,417,551,217,029,712,783,885,398,791,176,423,
289,330,964,048,541,122,933,180,559,247,990,548,441,787,990,995,562,911,125,
486,911,394,476,409,420,511,974,166,136,207,652,299,225,631,993,443,230,881,
307,701,365,926,389,957,584,468,671,900,871,838,387,132,852,428,878,980,780,
185,061,220,254,100,927,574,624,825,940,985,360,776,235,866,125,376,366,381,
353,128,300,587,024,093,602,202,915,961,898,640,025,976,417,842,576,369,921,
343,461,924,849,563,817,265,495,770,885,844,234,461,008,791,335,666,813,947,
804,600,865,738,511,778,899,956,294,518,544,169,859,533,153,443,051,934,859,
579,674,372,999,986,246,798,233,739,994,508,855,932,930,044,508,635,852,755,
167,231,594,832,972,906,052,322,502,957,515,005,556,040,460,089,009,440,062,
854,108,204,310,263,039,260,834,308,318,070,737,372,651,060,876,210,928,176,
419,153,215,814,846,576,929,713,697,529,641,934,891,558,039,177,001,267,136,
276,382,951,680,059,780,692,257,461,568,578,090,576,429,289,495,961,473,856,
123,349,404,108,484,480,096,626,072,748,098,511,939,319,283,999,849,667,158,
845,384,108,884,055,622,501,223,969,898,300,647,268,317,035,590,291,965,146,
161,117,840,441,295,307,657,355,935,730,238,612,132,527,959,477,112,559,589,
372,314,256,221,869,948,694,853,747,068,393,009,989,126,794,029,676,945,331,
062,439,310,023,822,715,911,927,014,581,750,694,188,904,673,337,521,978,233,
507,967,270,243,986,007,876,156,482,022,859,252,592,092,848,604,316,505,547,
176,061,825,116,461,291,765,959,952,872,069,481,456,507,240,282,882,459,395,
670,524,498,258,473,787,417,278,330,968,300,115,679,240,613,023,643,215,203,
280,801,028,074,836,667,925,256,243,327,068,087,699,353,428,005,977,941,249,
341,364,058,835,053,362,981,758,335,986,637,606,547,788,708,765,443,370,814,
580,066,065,352,245,529,338,000,998,534,298,463,538,230,848,966,669,858,568,
992,757,219,895,260,207,432,076,609,141,951,541,058,146,916,649,406,479,183,
435,849,888,332,241,062,221,778,304,590,605,252,154,810,831,672,228,643,574,
915,585,842,125,646,921,228,744,139,006,545,271,280,712,354,674,273,135,758,
078,829,633,692,586,354,822,375,222,849,916,569,514,892,556,962,207,412,333,
320,298,073,439,685,899,218,846,035,191,705,238,768,204,892,121,972,401,599,
310,302,340,672,894,218,444,460,040,824,610,269,081,809,150,811,372,075,894,
646,120,686,878,607,540,073,869,453,730,212,521,633,325,934,386,510,690,080,
063,903,762,997,872,062,704,933,731,064,000,549,327,842,755,089,391,658,923,
080,598,826,474,859,051,514,714,876,619,957,122,744,813,384,134,286,434,028,
398,953,337,117,544,160,899,360,044,625,106,344,001,567,957,305,197,700,920,
885,694,878,612,368,452,741,383,970,696,113,938,730,735,494,882,025,740,392,
073,606,452,668,769,685,527,189,081,984,214,253,138,061,757,572,101,159,883,
620,255,655,985,660,928,824,449,845,731,799,795,551,657,899,739,570,727,505,
454,123,360,108,825,722,754,034,849,160,648,689,227,116,397,324,546,905,562,
720,430,543,214,261,233,208,510,323,017,998,417,650,909,973,140,522,754,393,
773,932,025,051,532,250,258,742,016,319,588,204,843,622,349,384,657,805,169,
794,921,063,023,681,349,071,089,066,287,445,867,200,827,938,249,466,239,891,
508,297,757,225,176,304,331,173,911,763,549,059,300,995,508,712,827,811,207,
719,292,952,928,925,948,735,116,424,588,401,158,343,245,781,260,789,800,109,
148,779,907,782,820,970,819,580,496,963,710,543,043,010,415,540,515,463,106,
930,862,581,346,312,095,044,743,916,894,238,041,415,183,518,459,313,261,747,
104,231,743,342,508,827,692,681,362,816,874,974,010,272,299,910,621,196,234,
674,090,078,676,125,827,543,950,787,023,317,852,576,562,635,635,529,630,497,
899,381,801,610,375,048,194,191,609,800,618,819,921,008,422,722,779,827,308,
125,972,397,110,994,694,441,445,896,971,711,629,202,016,980,973,382,550,077,
488,640,142,809,978,788,253,236,350,574,537,954,383,914,274,318,082,463,098,
640,806,391,506,382,502,340,744,841,361,160,969,707,973,026,554,729,003,265,
170,451,092,553,660,622,084,268,869,503,628,003,307,473,733,031,603,536,729,
470,600,956,899,712,130,480,438,156,004,003,532,090,134,436,839,665,496,307,
284,170,033,207,014,431,079,328,924,789,168,788,275,752,822,901,721,508,166,
491,361,756,470,397,951,835,325,225,066,771,234,810,964,905,960,291,456,478,
184,356,981,877,102,722,816,757,387,914,776,500,072,419,504,653,525,359,243,
970,136,717,771,453,336,294,276,407,017,213,649,489,285,070,040,914,051,537,
499,585,186,666,462,453,811,662,099,302,390,269,745,618,367,797,646,060,746,
030,538,829,810,966,966,879,364,295,946,324,220,080,235,014,008,038,669,607,
675,592,394,562,903,541,165,587,064,999,697,415,912,265,196,452,907,096,082,
115,348,987,163,076,299,374,209,274,498,360,321,288,256,963,506,250,529,745,
926,270,258,775,385,167,653,695,973,139,859,756,723,689,793,396,563,596,953,
316,814,856,138,987,475,662,213,845,802,425,461,888,315,408,342,495,799,853,
043,288,191,503,343,628,936,268,153,653,884,738,480,782,229,623,572,145,847,
230,064,097,726,948,657,623,924,413,773,462,298,568,723,335,585,557,005,391,
561,146,654,431,420,119,360,519,322,811,974,568,314,566,590,221,921,590,974,
882,693,382,294,798,056,080,602,741,261,606,423,859,428,427,682,458,702,039,
311,219,860,366,284,457,603,504,619,667,672,471,460,566,858,609,858,002,412,
835,636,300,803,608,538,506,589,860,874,934,256,965,216,046,318,922,092,543,
554,672,946,401,831,103,378,276,246,442,454,553,851,683,547,427,173,110,327,
626,579,744,048,979,061,370,041,606,178,474,314,127,360,369,284,915,759,632,
060,163,967,217,006,127,998,780,937,963,581,546,690,771,795,523,445,943,704,
568,302,241,357,991,377,164,966,529,278,887,549,897,867,499,595,787,549,129,
722,084,134,843,792,708,960,547,916,244,121,090,987,445,350,700,564,094,058,
462,004,003,948,972,067,205,709,068,025,003,140,864,709,665,012,225,654,340,
895,753,485,641,928,848,463,571,275,403,902,625,841,489,679,988,626,203,815,
154,179,411,084,173,737,676,100,104,521,498,623,614,910,947,764,293,695,069,
157,555,594,310,585,967,173,863,820,406,096,269,239,590,792,776,842,450,033,
945,080,825,371,008,279,611,826,355,060,741,067,353,009,422,580,386,737,743,
625,133,321,558,353,133,135,300,649,016,688,761,848,550,249,039,378,561,781,
362,533,613,765,761,822,119,752,692,644,745,467,960,452,441,560,225,144,468,
070,275,884,617,198,598,968,472,137,038,620,399,405,054,548,967,942,392,281,
981,102,730,632,648,850,532,464,656,184,804,638,973,686,921,364,893,482,812,
972,544,651,761,434,201,099,707,293,506,249,763,171,668,865,094,477,542,136,
121,678,669,900,783,553,336,048,501,020,822,858,413,277,913,215,758,693,656,
713,328,080,706,740,165,003,114,992,674,325,970,921,591,148,162,042,307,869,
919,591,569,370,137,900,988,626,459,373,272,859,611,931,620,209,547,970,918,
691,239,633,289,533,198,935,109,150,783,476,699,134,082,307,724,387,653,169,
434,219,350,258,280,380,515,819,730,156,997,871,398,422,602,489,456,541,733,
650,997,037,928,289,247,678,125,643,782,187,272,576,298,164,270,886,405,003,
500,641,748,486,125,427,607,600,317,769,737,278,772,301,504,195,940,985,728,
730,904,293,145,352,457,149,080,190,106,797,034,673,745,249,267,153,110,688,
431,567,711,208,068,398,160,032,301,201,905,289,022,497,651,417,006,211,798,
838,731,565,724,090,617,564,335,781,711,230,966,805,988,304,840,900,598,420,
905,543,186,453,118,536,751,631,268,972,494,094,511,857,720,407,227,238,884,
782,895,490,680,026,255,727,926,629,717,783,191,247,802,773,405,665,835,303,
774,613,203,577,084,306,423,143,303,371,927,354,170,106,027,651,587,103,565,
266,996,108,304,330,013,211,279,887,120,440,368,501,213,020,276,034,112,005,
383,885,039,523,206,558,519,355,870,436,726,899,770,496,878,956,280,897,599,
778,716,187,526,279,602,234,276,439,567,485,115,658,969,832,722,666,182,766,
777,162,411,496,728,640,807,136,284,560,490,929,574,231,374,796,735,260,016,
139,009,234,348,534,182,186,392,735,394,931,964,366,297,423,766,748,453,272,
060,696,625,933,653,024,937,993,109,496,935,828,338,891,923,795,794,686,907,
652,212,792,942,789,176,578,733,311,724,044,854,675,427,153,424,647,118,626,
955,029,831,322,789,659,929,061,772,535,713,705,735,276,018,824,834,477,208,
990,412,511,863,445,328,810,549,110,496,236,298,164,731,560,336,796,300,687,
228,272,475,777,286,079,521,474,277,092,491,717,775,019,397,563,090,269,322,
153,315,804,332,553,111,861,585,286,974,922,786,150,193,178,170,532,063,273,
867,570,366,546,814,063,764,918,050,762,069,166,397,427,084,404,405,828,623,
335,037,964,001,877,955,467,169,529,572,601,547,654,264,110,983,335,680,086,
766,204,531,698,172,483,666,632,091,907,538,448,046,981,493,602,051,525,672,
410,140,406,954,606,838,267,493,741,560,502,678,410,299,968,566,621,016,014,
003,253,520,163,762,934,126,679,504,183,281,300,902,132,479,154,097,650,373,
140,888,956,559,022,190,594,322,132,754,615,499,306,158,431,537,660,749,878,
565,930,640,444,543,639,059,443,206,644,924,872,076,906,857,309,629,119,718,
999,748,488,337,804,396,016,499,547,356,638,588,322,498,948,862,468,158,110,
065,240,003,733,241,682,163,819,502,084,542,058,605,551,522,700,914,139,925,
773,559,202,341,937,089,152,132,824,857,517,704,714,033,559,212,295,565,611,
116,879,727,081,346,259,701,393,977,284,452,214,136,895,582,810,520,569,132,
984,611,209,370,382,328,704,012,403,882,945,563,865,506,870,512,590,210,539,
388,038,783,773,103,808,981,810,794,919,203,282,914,212,861,273,418,508,276,
442,959,715,756,590,881,352,478,550,450,248,169,877,922,056,517,649,590,897,
959,298,130,634,975,040,527,336,825,983,879,119,782,238,165,611,134,993,778,
526,278,421,425,090,404,636,054,709,149,710,046,053,871,784,814,390,755,400,
018,305,952,250,406,336,711,325,632,287,453,865,854,689,013,004,333,710,568,
214,227,598,290,962,913,635,435,773,311,865,246,611,373,145,705,921,133,854,
966,922,234,952,245,031,869,016,263,849,643,839,712,818,404,080,857,935,966,
422,334,445,157,253,897,180,232,790,421,450,059,646,306,086,203,378,526,891,
853,946,545,232,610,342,721,510,534,955,641,053,144,239,991,973,807,021,916,
579,913,148,301,434,215,943,452,913,771,574,535,605,008,111,306,482,198,226,
334,727,843,797,418,685,658,323,546,094,425,390,833,030,921,752,018,235,937,
509,533,260,326,730,948,390,481,103,929,880,137,830,419,736,602,872,834,332,
191,535,069,998,773,340,676,510,689,020,050,976,377,323,884,598,363,113,507,
228,307,604,042,281,805,254,676,083,065,178,022,645,353,265,242,759,520,001,
646,823,326,261,644,028,619,421,047,863,529,536,682,564,397,355,392,442,009,
441,017,318,197,680,576,257,262,178,340,220,355,131,807,493,200,283,039,639,
019,388,523,061,034,592,547,018,210,773,333,651,284,948,860,615,347,438,878,
733,543,848,846,571,259,865,829,966,903,212,411,799,376,270,635,726,814,686,
085,593,759,446,568,162,272,067,728,944,801,841,074,193,163,673,971,243,139,
811,573,642,654,834,450,749,845,828,109,921,906,943,501,897,523,047,540,096,
104,665,724,449,716,411,988,403,509,306,667,318,475,613,835,481,356,326,738,
183,918,470,376,126,773,336,965,227,189,479,306,818,963,102,841,086,776,491,
058,993,867,946,454,703,911,074,899,364,805,046,264,088,301,929,946,479,213,
840,674,460,508,350,204,114,263,372,527,315,825,456,875,891,081,148,332,543,
048,090,708,807,284,579,249,411,816,870,897,600,969,173,012,870,427,816,272,
575,859,227,924,622,702,879,632,185,044,840,101,404,930,037,196,125,244,346,
685,311,718,182,602,523,907,215,520,949,444,850,567,325,009,478,397,641,989,
482,117,022,236,272,560,557,009,070,776,585,568,127,014,516,093,249,768,937,
299,926,590,327,077,876,854,343,717,294,533,713,268,167,229,090,074,953,285,
475,001,236,022,128,030,345,646,229,949,329,138,984,462,267,673,457,142,564,
299,110,652,119,897,457,668,377,178,961,723,946,784,475,649,859,326,939,186,
548,396,762,904,041,722,278,991,417,641,249,908,132,744,838,877,082,362,225,
355,336,931,280,878,610,958,509,866,823,960,784,378,326,916,839,840,142,307,
815,171,011,191,109,792,050,752,586,983,088,874,773,901,399,266,401,018,099,
176,372,656,964,188,454,980,828,832,997,473,510,675,775,988,974,518,546,075,
158,949,892,023,073,419,601,887,477,775,077,234,590,723,459,882,709,676,478,
624,872,368,610,127,153,951,322,423,060,455,847,512,089,882,441,320,832,962,
077,487,232,215,206,252,140,009,749,161,660,789,095,780,993,132,900,876,781,
586,011,553,568,535,416,100,810,628,943,297,580,789,963,013,345,841,369,529,
799,755,706,145,509,404,163,779,511,887,173,507,773,928,694,723,826,061,957,
115,280,583,646,127,831,306,832,561,388,926,319,510,074,822,253,846,780,531,
108,137,810,440,568,318,985,780,132,018,741,413,711,324,774,904,068,287,361,
608,765,958,780,994,105,347,747,865,965,894,784,569,099,519,166,740,715,438,
265,703,910,719,857,006,982,372,903,782,835,282,127,017,336,646,334,882,221,
668,240,407,031,517,400,102,984,066,026,841,864,531,857,497,994,905,149,263,
823,473,526,615,976,488,027,753,156,091,038,057,534,712,867,994,984,639,188,
133,739,155,496,148,371,740,353,311,424,944,731,423,546,339,674,809,560,611,
573,454,764,901,113,085,381,087,778,331,287,593,788,670,316,764,803,035,755,
545,331,486,273,537,456,610,408,515,509,419,600,800,952,589,204,846,391,764,
871,612,349,543,996,074,812,348,569,757,684,502,538,274,736,518,274,897,417,
712,006,720,581,580,268,791,319,596,291,482,373,032,766,825,833,403,383,522,
531,201,195,071,318,307,087,409,727,488,453,289,899,754,660,616,860,533,153,
877,279,589,769,804,044,433,628,689,542,924,827,380,045,238,494,027,456,167,
843,842,640,215,038,938,165,491,283,515,389,912,587,261,256,449,910,517,297,
747,188,573,649,198,814,476,341,731,530,549,300,643,672,950,322,285,321,464,
666,403,246,174,694,359,936,183,548,221,104,903,797,064,247,418,607,445,282,
337,161,647,880,917,647,909,180,738,501,224,936,381,530,246,670,394,728,674,
951,495,373,761,282,816,403,065,088,672,622,827,006,147,105,140,413,373,065,
687,169,022,468,551,325,590,641,001,285,725,974,456,274,542,181,514,072,710,
776,436,428,774,240,685,528,454,528,297,041,726,795,212,795,995,004,635,469,
403,627,314,257,605,929,638,965,361,857,182,565,594,241,852,147,896,320,732,
767,486,810,091,291,722,206,461,576,403,717,273,325,791,262,211,845,043,361,
563,779,698,782,481,259,169,393,128,053,874,145,887,406,058,207,006,992,240,
307,569,063,137,593,709,663,988,570,474,682,963,206,348,473,788,930,981,029,
661,620,848,681,019,228,377,023,177,603,905,102,506,012,183,071,564,561,946,
443,908,587,906,410,284,484,648,068,842,308,731,714,710,389,446,830,530,688,
136,354,893,744,130,833,918,872,675,537,047,970,198,006,809,267,682,281,219,
560,197,963,433,174,631,222,558,354,743,653,112,854,283,799,518,010,729,911,
140,389,425,298,694,739,261,418,376,241,165,504,173,542,561,961,810,003,652,
771,008,955,095,896,997,312,543,549,028,699,679,793,076,702,381,135,209,301,
180,704,050,735,628,197,387,311,623,119,992,091,121,507,625,458,467,739,286,
944,546,504,805,796,785,616,186,698,146,236,076,696,198,306,442,441,730,117,
531,533,228,586,934,971,458,682,356,350,599,547,391,646,835,244,043,669,553,
770,795,418,746,424,327,602,157,318,346,055,183,833,733,941,167,262,097,999,
103,712,373,949,695,789,169,021,630,105,278,982,681,992,546,029,591,503,086,
330,041,524,152,292,585,921,393,810,362,544,588,923,659,924,339,330,118,768,
622,953,829,562,077,990,608,686,907,993,925,277,617,736,369,913,696,120,326,
897,361,894,980,672,089,998,024,528,324,137,856,799,365,987,689,643,187,604,
106,752,024,341,278,931,324,626,325,030,944,478,575,373,623,462,133,874,073,
844,122,965,030,990,736,011,112,378,376,071,376,775,402,021,599,858,704,783,
726,833,978,303,880,387,449,053,169,485,286,947,762,440,082,826,429,624,495,
117,831,203,988,990,206,228,846,237,282,433,786,903,810,542,960,093,261,722,
243,659,482,962,955,885,176,193,798,631,369,177,566,245,405,800,885,619,045,
204,702,999,654,799,687,297,574,328,580,989,042,307,406,730,637,583,884,803,
425,008,691,159,334,567,018,753,458,588,461,516,046,653,168,071,201,271,117,
013,424,575,402,379,974,663,339,460,069,739,329,940,467,653,558,612,871,634,
645,353,559,864,562,543,464,445,320,318,359,713,379,642,392,210,469,046,736,
080,765,249,459,937,124,182,255,470,593,006,741,735,190,277,604,650,034,036,
119,358,501,876,157,071,603,413,977,703,868,015,609,301,821,309,928,272,762,
331,828,889,127,250,268,702,460,582,374,546,182,060,603,503,994,871,154,103,
260,316,116,528,527,386,435,892,927,189,033,810,020,059,095,516,032,082,155,
206,723,250,961,444,519,937,353,258,025,607,169,342,904,340,972,654,943,830,
036,710,032,648,405,212,977,376,000,268,373,468,931,450,568,818,450,467,615,
973,032,246,291,895,428,374,884,345,608,340,709,399,636,734,663,631,800,467,
726,582,121,295,058,516,642,231,051,003,535,822,952,427,881,310,130,404,120,
479,152,839,617,851,151,228,005,498,287,217,742,028,951,165,678,620,942,626,
467,882,246,181,960,956,933,473,644,136,911,667,812,933,823,358,121,897,820,
829,343,982,704,060,903,660,435,570,345,467,212,542,991,687,261,279,597,839,
380,067,888,380,719,341,095,735,519,138,801,338,234,421,796,210,799,232,671,
811,274,193,986,416,966,856,183,066,972,061,193,380,843,887,248,311,556,173,
101,207,502,611,384,425,044,785,872,029,121,044,768,610,141,863,659,436,460,
349,251,883,893,188,585,737,150,355,951,549,691,703,153,870,620,076,736,146,
384,226,861,509,354,962,104,306,680,115,084,502,909,784,920,352,288,545,740,
983,418,552,643,002,102,547,489,329,305,804,416,740,003,766,330,030,557,889,
321,788,307,352,888,752,972,365,179,804,405,140,408,520,513,333,963,568,782,
441,916,321,882,254,091,741,281,347,140,702,433,961,244,491,160,190,054,350,
402,731,569,735,407,631,054,258,635,969,179,350,359,817,241,661,245,102,331,
317,305,778,434,162,968,842,220,413,747,937,629,529,404,025,222,197,840,552,
790,128,244,485,315,219,363,985,917,776,853,986,527,093,106,427,134,174,789,
422,166,168,563,868,828,238,447,224,000,514,786,528,437,840,130,835,048,053,
012,249,208,601,575,638,858,284,219,345,275,582,298,573,100,401,220,688,226,
991,808,827,531,633,432,352,823,138,343,518,317,334,908,486,229,935,065,151,
831,765,885,901,176,543,541,341,599,354,338,123,235,214,303,488,241,478,829,
648,011,454,762,104,599,972,427,292,211,867,776,588,908,483,964,344,002,207,
079,534,771,133,725,569,575,169,630,441,960,407,184,645,229,965,633,290,996,
910,391,790,899,900,040,711,796,346,591,682,782,127,157,168,066,256,371,175,
634,467,535,018,031,285,714,604,875,552,852,982,379,247,571,086,838,108,038,
478,356,752,442,289,259,926,692,498,593,900,276,875,323,797,832,484,605,946,
136,826,013,989,604,889,815,097,133,322,524,336,513,350,317,299,388,764,160,
160,894,504,341,652,496,555,762,105,871,217,085,922,246,909,987,801,515,039,
850,417,666,613,186,651,920,533,692,245,392,135,629,143,259,048,625,774,078,
107,901,306,414,749,956,819,196,953,651,097,672,192,462,817,815,137,440,710,
525,301,348,204,721,728,707,710,920,342,133,115,663,525,522,659,838,651,250,
605,240,666,027,870,225,973,639,769,143,711,581,855,554,207,884,251,666,712,
225,376,425,539,244,481,979,966,228,006,530,640,536,476,356,629,514,609,318,
259,487,140,541,609,333,863,216,049,773,107,912,700,190,087,190,398,452,972,
249,001,959,016,285,213,174,417,217,196,654,419,855,248,773,375,834,785,888,
443,685,672,870,919,408,961,882,644,052,342,355,647,105,366,995,556,899,895,
848,350,554,043,341,435,296,042,392,216,460,981,402,199,697,541,184,024,973,
476,670,521,435,194,280,320,653,929,101,462,100,372,794,050,784,642,519,779,
586,176,556,196,714,674,405,609,194,172,752,396,017,116,018,715,552,713,915,
608,274,425,784,791,187,557,595,696,276,684,562,336,686,139,397,488,146,638,
281,771,778,383,137,960,863,598,453,777,465,018,709,008,936,681,482,204,229,
640,769,036,648,467,338,989,367,890,570,784,111,917,302,220,111,304,115,038,
405,830,238,258,185,704,540,627,001,416,676,832,714,732,071,601,176,889,397,
266,912,762,943,142,620,868,633,261,921,695,077,755,969,931,459,220,023,534,
314,342,082,559,333,678,366,963,065,850,573,091,118,772,261,479,220,856,867,
950,078,484,136,177,491,720,872,291,575,629,170,164,464,468,735,101,184,598,
189,310,838,287,259,464,405,143,438,585,886,239,919,107,154,996,603,661,586,
709,533,127,929,452,908,922,479,940,229,301,817,892,715,993,837,599,017,073,
816,405,023,268,811,268,352,584,456,314,896,913,581,801,436,209,727,461,734,
489,809,850,236,418,152,122,800,943,894,014,585,765,524,843,680,415,610,699,
129,249,063,410,740,897,980,937,125,583,640,303,753,816,406,140,889,289,660,
580,877,417,776,833,368,240,571,028,609,412,564,644,762,520,586,405,544,197,
042,427,647,550,165,323,141,839,274,342,196,085,232,564,593,222,971,938,500,
682,285,938,249,889,084,235,820,624,953,992,318,941,492,047,365,166,006,671,
215,584,618,084,973,768,348,609,033,385,113,848,971,791,698,355,848,615,069,
291,730,330,739,006,903,496,556,482,710,071,311,852,301,238,556,807,050,026,
589,260,242,504,958,370,463,577,459,828,975,782,304,829,138,674,803,555,860,
609,718,615,401,802,396,801,989,471,646,061,522,785,150,179,314,344,665,313,
865,297,281,372,239,061,055,977,648,090,239,096,039,536,601,516,316,579,171,
949,384,334,282,669,551,096,002,608,954,049,023,642,723,915,686,623,822,656,
098,445,756,682,212,105,263,375,902,704,087,319,100,764,091,078,468,410,256,
875,117,676,478,024,208,303,017,111,502,494,255,606,604,739,086,164,049,175,
510,267,109,472,924,661,990,519,726,595,508,644,849,542,735,712,788,591,085,
301,141,122,485,384,621,870,569,812,475,408,168,554,001,290,672,271,535,207,
818,270,633,613,523,181,816,536,477,955,361,102,909,612,469,580,693,378,556,
224,814,611,819,519,030,610,743,203,366,763,641,112,853,065,016,028,201,524,
723,005,859,900,309,243,926,812,419,389,117,956,980,186,413,655,151,343,337,
860,426,125,116,363,911,862,395,873,539,781,722,389,765,090,691,913,597,047,
779,826,254,649,717,048,349,413,843,644,561,316,356,817,292,791,650,422,194,
732,268,735,798,189,345,982,365,972,794,562,044,306,781,496,261,283,434,615,
187,372,911,516,453,651,825,920,612,362,100,780,432,423,867,953,567,537,837,
787,381,781,721,608,366,393,794,115,338,770,427,211,068,947,637,309,864,010,
351,118,910,638,679,877,649,453,744,717,215,312,169,921,485,310,506,571,443,
670,629,181,878,246,213,764,354,498,199,385,533,406,398,412,095,071,531,356,
116,486,235,335,371,376,515,904,192,211,411,380,719,389,600,188,326,475,544,
456,793,529,650,273,210,158,564,376,339,513,655,160,693,473,766,781,094,261,
323,502,995,411,861,501,968,485,957,487,807,014,371,293,093,356,684,243,718,
086,852,027,842,714,257,743,137,565,066,743,380,434,404,552,827,748,137,074,
398,170,150,858,526,416,221,720,177,868,551,757,038,791,052,020,528,123,057,
430,960,868,372,214,812,309,542,086,499,154,896,537,748,674,109,491,020,503,
996,074,816,967,869,906,191,316,878,481,200,123,272,457,979,046,811,884,396,
335,978,302,064,796,684,046,626,774,534,966,231,400,757,453,679,638,975,247,
796,721,425,386,103,822,925,927,380,440,481,547,891,798,959,741,991,446,939,
389,808,105,945,323,363,130,254,601,522,005,930,128,497,654,809,994,852,760,
701,676,874,717,983,954,172,713,859,691,172,535,479,968,593,235,921,198,235,
777,166,034,974,569,747,097,712,014,510,348,277,433,293,107,924,557,800,843,
690,754,124,694,627,603,274,168,714,547,770,887,843,417,452,060,058,327,505,
340,008,178,669,227,833,271,399,691,666,692,425,420,692,219,689,868,010,954,
854,863,940,685,536,189,484,099,838,599,738,246,824,960,580,505,929,739,502,
717,850,352,196,847,791,474,451,504,090,990,877,875,295,382,815,494,372,274,
835,256,768,143,896,324,702,274,273,900,912,772,282,069,123,670,705,965,856,
214,865,825,012,202,914,122,435,020,008,215,528,101,102,550,645,615,164,393,
968,392,727,615,170,414,819,294,880,648,752,595,354,664,579,905,195,432,268,
374,772,500,580,345,373,698,762,279,793,539,518,370,382,667,852,933,696,154,
744,961,747,345,285,390,857,511,052,462,406,756,400,647,991,875,043,624,715,
854,221,717,934,492,897,260,986,816,416,418,774,625,725,711,384,186,240,129,
086,644,097,236,339,486,655,186,113,922,842,469,933,770,447,940,328,768,445,
197,670,064,101,629,432,221,956,089,649,707,972,853,139,635,051,139,437,918,
278,999,976,081,551,691,914,572,490,206,553,688,262,999,008,790,788,791,112,
950,943,808,344,563,804,702,726,364,700,995,133,682,089,344,363,204,381,152,
756,037,272,323,364,915,557,934,698,868,738,574,274,533,504,239,680,928,231,
786,504,001,175,803,780,734,472,412,840,782,037,753,956,418,807,855,786,813,
311,477,898,474,321,116,310,703,085,991,741,813,051,940,929,564,866,221,627,
835,721,637,838,535,553,312,598,669,908,936,783,401,808,907,533,807,810,948,
611,120,169,829,819,803,960,313,084,966,945,691,829,197,224,527,062,571,658,
956,023,108,510,848,301,032,093,536,759,730,614,500,889,026,112,323,336,825,
445,234,488,848,808,814,357,482,555,318,918,995,692,321,351,436,572,584,880,
155,983,913,218,815,458,730,678,063,689,094,025,495,918,421,438,414,513,148,
921,619,874,636,222,870,313,644,585,764,011,126,748,991,727,749,403,218,956,
476,933,747,037,085,361,479,981,381,982,495,726,880,563,641,455,309,469,114,
884,427,668,693,406,108,853,309,678,107,790,305,486,395,987,793,438,342,266,
354,787,751,768,310,507,771,420,355,244,544,547,387,586,000,091,316,009,484,
248,104,538,180,164,066,340,274,459,762,963,207,907,865,695,518,041,988,346,
886,029,020,181,390,244,419,850,814,630,663,458,604,968,319,738,541,834,856,
717,410,982,131,506,025,632,020,359,740,434,107,070,702,819,025,284,901,131,
981,528,011,492,692,246,736,689,866,338,659,573,812,239,933,819,091,473,171,
233,203,820,934,736,584,939,095,321,028,143,583,415,292,930,083,506,867,678,
881,969,714,384,600,541,051,813,670,989,668,704,183,484,258,498,900,294,603,
883,890,368,701,846,027,292,754,767,300,004,203,554,990,501,459,119,582,694,
461,337,196,033,415,898,064,676,136,774,884,782,626,002,481,141,047,134,386,
200,654,734,715,328,281,368,891,956,721,563,480,989,819,877,983,484,418,763,
456,832,513,364,630,632,026,670,385,887,962,410,718,094,125,842,363,971,549,
404,411,766,058,906,530,331,485,024,903,894,958,411,336,486,119,274,615,874,
554,950,967,595,253,075,045,811,884,032,989,784,262,535,374,679,773,908,928,
322,610,167,149,012,838,441,674,183,819,420,883,221,194,065,146,411,505,439,
049,526,768,964,347,212,685,878,647,377,687,520,417,075,414,809,006,639,410,
055,350,024,405,635,711,832,058,284,837,558,018,729,748,867,603,325,899,194,
936,536,681,587,996,799,304,729,159,242,026,235,925,698,932,715,264,450,713,
934,158,930,105,825,906,926,622,706,390,453,961,833,606,797,698,819,663,443,
261,935,880,430,052,122,178,716,538,624,604,322,436,589,909,261,873,798,011,
263,893,396,209,128,786,815,463,780,537,276,750,677,832,572,219,851,708,210,
013,050,907,654,849,499,760,865,298,278,486,877,172,935,364,088,775,305,043,
617,420,719,734,593,478,312,378,530,413,669,000,186,728,506,974,219,534,958,
292,891,310,280,464,994,590,618,066,539,413,659,462,504,654,622,409,117,617,
561,861,517,153,362,770,214,351,598,017,780,800,421,499,108,909,358,775,757,
461,277,326,314,261,077,919,251,951,385,743,922,268,811,873,888,756,612,176,
876,782,406,113,582,279,895,248,685,050,817,957,782,367,891,890,040,075,303,
523,054,616,840,690,562,466,938,474,089,186,824,197,630,514,251,027,919,169,
314,606,894,319,017,939,610,830,684,960,562,633,354,838,422,646,033,459,681,
181,520,468,090,625,408,833,967,538,105,174,817,892,681,638,479,160,046,559,
240,257,403,634,696,680,256,128,712,796,394,363,869,082,667,352,007,887,093,
364,333,608,061,313,361,069,391,084,697,637,997,422,550,023,005,311,151,825,
567,506,181,325,799,467,336,318,135,312,603,413,179,027,797,267,354,814,642,
352,588,104,796,618,898,482,038,417,870,547,557,106,969,522,940,130,946,570,
495,015,783,066,528,995,765,465,497,441,113,870,113,195,724,751,688,104,117,
835,628,128,311,596,662,325,390,325,299,539,571,557,083,424,911,582,755,118,
230,209,247,973,555,677,749,111,938,718,584,030,619,213,231,144,782,497,859,
081,585,203,623,372,389,100,653,289,560,094,285,104,171,006,239,718,834,548,
141,062,539,163,375,316,471,803,502,724,176,436,591,796,379,139,883,371,449,
762,788,908,118,654,368,216,131,691,000,175,031,307,439,915,583,596,964,042,
133,276,688,268,166,767,778,266,016,848,702,749,804,206,021,178,750,362,642,
210,918,176,835,908,920,195,948,177,730,670,446,951,632,771,395,982,496,954,
709,100,527,204,621,254,208,307,270,811,446,251,762,233,074,919,778,320,223,
797,726,544,478,675,235,721,983,322,957,954,826,914,113,472,365,025,709,748,
721,435,794,182,259,116,191,641,088,510,337,704,057,707,385,712,549,786,835,
429,960,445,115,925,250,267,439,133,311,279,150,516,008,317,753,983,343,518,
026,968,515,899,486,249,849,112,526,452,425,953,871,331,974,923,767,134,353,
306,140,473,733,802,719,080,918,804,401,312,592,672,670,580,247,829,283,914,
055,429,955,287,157,013,269,877,639,610,999,683,376,071,050,829,904,390,175,
115,713,308,503,246,180,424,815,009,679,187,255,492,140,513,547,555,071,877,
269,116,476,144,589,221,212,531,279,326,803,136,834,564,950,800,425,781,459,
415,333,898,824,269,043,138,521,947,971,141,402,756,332,732,559,528,140,412,
281,331,769,075,495,930,809,563,590,992,933,132,637,098,088,287,018,127,992,
942,333,937,223,692,779,826,089,012,724,794,499,094,247,128,485,657,857,969,
708,844,429,445,824,896,106,441,045,342,674,197,817,142,365,821,988,805,810,
154,626,481,337,110,232,828,276,685,692,863,142,691,526,702,924,610,373,559,
377,035,503,597,324,579,828,135,969,086,650,101,644,845,622,501,963,715,997,
796,960,786,790,756,358,564,823,695,254,280,398,371,527,717,621,933,674,899,
775,540,467,115,020,985,143,999,884,068,735,342,734,095,103,377,668,691,081,
930,726,401,306,264,453,490,304,917,621,991,358,468,622,008,812,874,142,177,
344,353,553,602,107,545,389,266,883,414,084,904,047,639,580,326,736,718,636,
306,417,388,699,715,692,226,196,364,230,816,358,196,684,293,861,102,075,125,
805,183,927,914,798,924,755,900,072,378,753,302,634,207,901,108,365,119,240,
378,969,120,568,607,634,164,073,376,446,513,930,674,578,729,704,585,276,204,
347,208,786,975,940,499,865,180,816,562,864,890,917,234,007,504,766,104,905,
822,089,250,781,911,319,646,364,542,819,848,478,241,506,195,766,386,307,724,
663,783,835,329,570,980,083,944,678,407,007,839,168,067,162,637,352,670,492,
025,269,845,355,060,323,223,786,599,272,223,371,945,581,893,822,545,546,698,
367,695,773,131,081,338,338,077,727,727,200,020,551,209,641,500,310,948,377,
682,592,715,138,360,628,964,626,072,236,662,258,687,456,733,836,851,747,728,
606,248,818,880,329,350,459,718,628,068,723,386,949,456,265,790,715,931,728,
147,569,321,139,827,280,671,365,855,162,328,135,106,309,950,231,611,943,851,
861,804,740,977,787,257,761,212,859,066,476,973,091,543,336,464,336,780,392,
922,315,017,690,048,606,884,063,550,087,174,450,042,262,536,414,802,305,010,
510,479,011,944,975,629,090,663,234,672,901,656,673,585,806,989,336,408,325,
763,879,367,689,609,979,733,010,723,220,340,334,611,675,271,455,648,700,581,
470,971,371,715,566,775,337,327,881,550,715,841,518,340,279,284,887,692,749,
192,018,198,027,565,119,617,932,609,496,279,609,678,588,869,574,184,847,043,
605,713,214,789,193,894,082,288,711,264,659,640,369,320,021,228,901,568,286,
152,126,718,393,882,125,413,301,559,043,331,996,103,589,417,025,210,707,954,
872,920,302,232,053,164,643,786,552,795,408,701,389,547,696,475,089,967,322,
630,200,988,475,448,668,102,779,385,906,191,043,302,328,204,906,687,028,796,
809,353,657,937,276,952,527,990,316,105,291,947,594,147,734,847,293,149,955,
447,108,967,186,104,500,659,251,532,829,029,220,736,486,269,380,674,975,680,
529,260,897,646,795,454,469,319,454,082,926,751,306,924,786,979,977,489,523,
123,175,725,882,975,785,974,041,091,494,905,079,445,765,385,689,689,992,902,
314,744,786,465,454,177,494,560,127,344,621,772,310,693,021,208,990,180,457,
285,101,973,757,609,975,664,896,372,942,721,587,561,917,976,644,034,351,579,
603,735,098,297,103,803,753,779,747,575,383,348,100,779,460,069,940,118,189,
951,552,556,985,851,398,648,093,858,708,535,675,309,608,491,149,864,672,597,
648,259,894,122,322,699,750,839,339,673,066,168,889,245,415,862,914,466,540,
057,003,861,690,372,494,646,079,702,982,693,342,216,905,926,537,464,978,633,
187,362,894,732,153,116,574,552,501,403,078,392,279,298,408,558,266,190,906,
134,528,930,701,134,372,410,746,213,053,856,363,655,098,378,754,640,348,099,
965,261,218,198,991,730,660,664,471,724,912,224,789,394,475,769,418,028,709,
738,442,835,973,796,127,022,888,985,414,292,185,565,119,309,889,236,518,695,
624,276,903,644,364,336,404,549,196,511,104,524,137,383,476,133,359,305,751,
117,234,879,835,545,618,099,003,679,469,378,319,798,359,653,748,586,144,548,
966,529,068,687,659,196,261,082,972,859,160,367,504,871,181,358,177,118,272,
975,398,157,590,765,682,020,754,869,061,713,572,064,229,450,252,353,438,965,
597,298,629,826,648,330,252,610,285,862,650,991,567,477,959,479,552,641,121,
341,080,298,437,907,610,926,064,035,858,058,620,008,662,799,957,540,788,822,
490,343,124,692,204,710,300,860,342,394,496,416,965,098,786,355,602,311,697,
816,395,265,268,852,485,681,167,891,471,642,233,004,417,542,235,778,950,633,
656,968,658,101,424,945,372,802,137,306,211,692,488,092,487,598,813,415,517,
052,521,228,592,675,547,377,116,044,033,582,041,852,580,920,443,420,527,579,
023,465,708,037,670,407,977,385,198,149,353,611,667,700,371,670,906,895,778,
734,032,114,823,261,628,674,313,057,155,597,952,617,883,110,106,901,825,307,
443,390,774,797,097,930,859,452,804,332,093,857,211,661,268,238,422,987,935,
214,706,715,154,883,800,538,097,309,194,778,143,608,515,290,462,847,877,954,
131,397,268,616,318,660,348,900,684,809,177,616,767,680,569,201,836,577,234,
344,153,504,959,194,221,623,297,076,901,724,891,682,773,798,456,622,649,164,
065,388,491,603,171,662,491,679,805,036,327,926,743,613,255,324,576,356,285,
290,619,303,434,618,941,075,128,195,377,424,877,819,232,882,669,915,111,503,
827,022,213,405,626,657,861,840,723,597,172,106,695,629,876,662,647,474,803,
009,661,034,555,512,020,915,474,511,009,365,086,525,790,670,405,553,651,652,
618,866,431,518,148,876,227,675,089,950,104,636,409,889,710,279,503,667,751,
228,028,024,773,789,691,324,564,751,762,864,641,757,197,353,994,399,682,194,
015,360,731,490,618,050,903,597,832,315,777,772,976,401,869,312,633,777,118,
272,629,411,423,752,939,670,570,272,841,825,903,318,102,995,832,943,114,291,
322,827,180,452,974,477,055,325,917,237,783,004,125,594,596,525,601,666,066,
750,887,633,939,558,355,612,305,471,531,180,904,435,967,963,631,143,847,640,
077,893,469,294,233,866,779,847,641,686,809,738,031,299,350,513,023,701,793,
728,345,128,980,610,624,384,176,584,571,079,713,446,247,008,407,692,949,127,
636,143,270,048,653,067,464,117,153,686,233,441,986,007,165,676,313,829,612,
523,572,840,132,254,543,662,566,131,858,261,742,312,889,028,889,105,037,035,
106,925,964,486,888,775,295,970,026,402,597,788,175,146,222,524,134,832,085,
508,162,780,269,035,859,869,859,615,324,328,039,539,026,682,207,406,265,816,
979,803,148,604,244,844,841,460,504,079,867,106,497,427,124,213,618,498,869,
106,112,994,498,694,076,415,268,718,696,261,523,832,347,761,262,463,749,983,
879,551,484,630,907,955,250,330,585,991,592,026,921,052,511,905,359,226,434,
233,180,488,681,937,451,071,552,930,585,447,996,409,218,306,134,977,504,708,
615,807,396,928,460,940,863,729,196,733,809,059,157,107,136,656,758,013,162,
896,488,824,315,945,423,311,472,958,130,129,061,842,899,084,821,591,775,824,
581,737,676,406,174,943,434,837,142,339,283,005,894,553,631,530,237,685,693,
688,639,523,774,467,216,939,491,313,110,579,282,148,070,770,777,178,292,148,
642,775,767,869,430,443,703,394,246,911,448,645,866,916,722,763,528,679,386,
562,786,555,535,508,979,160,264,607,640,321,694,923,241,106,018,535,213,305,
923,960,844,691,893,488,776,038,209,847,383,173,710,779,784,618,303,211,172,
035,826,925,466,065,943,630,457,218,879,954,651,412,552,225,761,937,838,520,
754,836,218,273,957,884,255,107,362,959,671,439,288,518,163,673,375,041,863,
042,748,588,312,994,041,679,037,966,084,953,206,293,679,359,047,327,346,246,
128,662,253,072,816,523,338,967,765,337,074,134,187,793,161,934,561,242,253,
848,041,049,217,326,515,716,174,360,671,927,530,623,965,528,255,571,433,393,
230,437,142,562,501,576,118,041,225,456,344,429,204,325,712,294,347,302,707,
430,904,154,783,767,580,557,830,470,256,316,628,137,650,135,177,780,063,088,
185,378,038,751,922,443,930,052,779,773,469,226,887,427,436,330,971,659,211,
524,503,123,623,963,130,172,655,006,024,690,064,340,994,794,227,766,263,694,
734,749,208,583,343,772,863,746,168,928,127,261,852,369,657,892,295,685,778,
499,788,881,834,663,404,130,776,851,683,312,887,243,852,551,536,402,806,302,
310,525,581,009,696,276,453,959,235,617,186,518,649,106,263,491,322,563,099,
453,317,742,772,871,972,238,592,444,085,540,465,110,029,985,754,998,272,800,
344,488,742,409,228,540,168,882,952,346,155,031,272,077,381,987,838,118,997,
280,324,502,636,549,761,291,032,399,350,318,899,322,257,739,890,974,692,254,
123,930,300,998,657,933,134,376,430,090,141,301,470,073,153,490,018,746,932,
940,585,236,019,056,002,824,794,530,742,558,700,273,821,014,895,230,563,813,
438,047,722,534,462,594,160,104,656,837,879,632,229,177,374,503,684,478,543,
295,174,954,238,554,988,498,602,346,435,962,883,130,760,874,046,869,776,839,
936,084,830,850,814,924,621,628,148,785,751,874,934,476,466,707,113,801,811,
641,074,500,656,319,665,012,973,832,526,562,150,713,909,146,690,616,085,800,
703,201,189,485,184,601,518,518,531,504,319,715,706,851,488,985,235,283,808,
870,722,957,899,281,631,955,639,821,284,985,931,709,499,615,472,116,618,805,
620,310,700,036,899,978,568,221,993,567,798,659,557,446,184,874,598,919,340,
921,079,468,261,281,757,231,136,502,993,153,069,877,575,681,898,398,050,626,
507,030,440,014,747,752,964,861,198,133,528,034,898,614,204,425,367,351,208,
554,543,562,938,129,332,222,503,904,657,861,738,653,044,580,248,597,715,668,
383,891,944,303,690,870,201,722,772,928,251,716,080,762,855,913,118,454,808,
033,112,576,500,610,916,461,558,614,334,265,297,154,186,286,285,213,093,550,
747,291,098,137,792,021,112,549,027,928,598,345,884,149,625,890,501,316,441,
846,365,865,790,870,897,859,542,883,341,670,642,672,096,996,970,590,568,235,
913,673,159,778,067,209,466,776,660,972,474,755,786,255,271,414,019,372,188,
123,159,960,646,012,650,132,879,944,819,518,658,819,109,045,480,834,489,910,
754,976,217,258,791,981,118,576,736,037,551,857,499,192,689,282,297,527,393,
951,561,947,079,577,470,944,290,347,516,109,058,134,114,583,051,874,023,998,
683,303,764,368,653,861,087,829,398,784,962,790,895,638,353,670,021,038,709,
082,699,303,828,986,602,135,338,370,792,562,820,706,115,725,663,946,592,658,
288,024,959,241,009,358,666,328,997,227,195,966,970,823,747,971,494,558,875,
836,439,855,273,561,304,127,464,031,989,599,901,504,643,032,547,728,836,327,
198,610,503,235,371,762,877,444,446,334,375,333,396,952,663,338,618,657,765,
469,635,223,135,043,005,184,242,497,114,612,784,686,146,181,090,323,567,354,
392,436,425,182,471,694,308,026,321,387,686,334,287,147,052,883,263,382,028,
915,477,593,514,965,744,151,784,252,117,322,680,094,280,474,658,334,283,851,
852,876,188,212,692,706,098,999,520,219,831,157,920,011,705,295,277,298,604,
553,173,362,662,390,474,943,430,246,516,951,851,873,184,701,959,465,601,012,
652,187,124,701,467,668,676,570,072,183,310,239,286,887,681,801,127,239,125,
124,336,726,505,148,294,170,317,589,830,203,705,572,866,570,837,215,505,550,
526,044,697,334,163,480,277,976,259,411,941,580,659,589,401,260,595,492,732,
507,619,194,077,887,021,880,037,836,258,259,838,602,378,320,208,021,669,998,
871,147,386,747,978,638,744,142,407,617,050,460,302,173,497,145,058,361,043,
835,781,190,997,141,563,930,158,719,168,842,851,847,510,299,570,451,251,342,
859,363,863,940,675,928,972,859,608,650,344,161,363,076,951,191,936,359,882,
524,280,956,355,602,374,514,621,714,160,652,538,531,966,439,668,799,463,230,
735,156,804,219,195,890,595,784,956,513,546,789,141,329,429,098,963,462,792,
544,785,314,248,241,644,662,091,891,124,278,490,725,833,979,791,223,849,485,
394,430,251,970,808,983,696,896,548,256,459,706,023,323,928,532,879,147,768,
369,744,178,646,295,993,766,464,948,893,191,103,077,388,749,566,513,265,618,
471,022,723,839,462,459,806,823,013,574,467,625,483,952,268,858,396,373,012,
519,316,681,394,103,635,418,073,995,696,068,787,405,544,333,045,299,375,218,
748,751,931,617,418,847,494,467,396,890,618,287,089,084,358,485,223,694,780,
272,775,738,826,403,713,646,461,764,345,775,056,721,948,693,878,806,865,077,
694,146,307,785,745,648,915,937,305,724,680,240,270,131,633,945,992,162,757,
118,622,842,344,637,730,546,134,417,919,082,554,471,636,975,782,197,389,011,
223,890,956,159,683,080,787,867,583,860,410,465,653,490,768,136,733,498,959,
500,449,169,986,607,060,994,128,645,912,546,265,682,483,637,755,419,935,526,
536,272,146,990,148,305,310,822,258,092,598,595,545,286,986,432,537,112,392,
217,770,109,785,040,472,216,521,602,088,525,059,224,196,171,665,601,065,595,
268,950,444,039,174,197,345,485,570,277,329,737,420,486,709,492,447,656,945,
018,352,551,013,793,043,717,042,772,089,061,166,869,883,410,804,218,789,122,
390,466,147,146,287,387,684,713,168,864,022,015,455,012,072,135,944,361,246,
464,938,610,488,907,057,311,748,821,221,998,262,388,193,472,750,019,462,430,
212,102,976,450,057,853,568,063,090,034,687,460,261,788,604,657,969,064,133,
189,715,319,623,115,745,796,170,035,345,154,644,664,425,214,341,714,317,955,
439,041,272,618,863,280,120,915,922,425,292,396,510,806,615,528,534,140,697,
381,431,591,934,820,337,389,902,934,340,757,713,557,356,232,292,132,659,988,
649,102,293,778,060,521,680,974,612,764,934,863,450,352,385,623,444,615,172,
177,583,958,542,808,681,704,643,488,953,112,860,618,939,571,309,811,428,693,
422,322,623,587,897,082,631,850,753,894,544,591,532,466,119,675,553,417,408,
702,165,676,844,626,886,896,046,065,462,072,238,124,587,059,024,500,782,845,
137,364,100,676,283,749,033,490,264,869,324,377,390,716,815,978,042,871,197,
146,244,857,560,394,943,741,410,829,377,157,898,702,979,545,381,548,990,444,
826,790,207,597,082,696,457,762,497,589,135,016,761,578,810,080,442,642,478,
800,610,115,880,233,930,764,515,957,608,178,311,819,194,307,014,704,058,777,
565,295,216,317,325,485,084,064,514,669,731,309,726,152,511,215,048,481,078,
604,141,851,009,907,969,840,547,149,910,281,001,293,544,268,052,750,561,202,
962,265,619,620,369,694,336,606,871,170,451,897,874,960,343,598,356,451,811,
729,890,259,534,254,240,729,114,499,392,468,765,464,261,167,005,217,685,435,
836,471,234,409,411,780,270,071,799,998,965,625,175,524,141,240,364,645,440,
165,612,243,497,061,839,440,478,156,362,299,548,472,631,596,448,873,690,217,
069,865,361,421,810,816,970,122,009,902,153,696,251,135,168,656,810,978,287,
908,201,263,324,223,311,839,335,206,249,602,062,372,550,067,770,932,415,519,
610,844,112,858,612,164,763,438,016,140,144,947,964,028,938,064,418,785,092,
657,697,648,817,792,665,154,855,247,446,848,259,568,103,740,303,355,628,897,
942,194,611,997,101,743,495,073,696,752,855,489,970,013,019,991,289,427,650,
969,369,107,671,431,771,077,341,447,065,753,776,383,988,168,713,955,248,654,
861,263,852,318,355,702,030,303,704,008,250,342,402,293,610,773,000,588,425,
651,692,886,259,176,075,234,355,477,396,970,401,098,625,199,543,157,929,766,
392,677,051,939,919,258,700,826,088,514,105,803,614,021,864,428,465,345,698,
340,300,978,788,990,426,168,956,257,652,181,580,877,766,617,346,377,596,202,
895,178,108,518,727,495,388,861,940,635,447,063,970,943,228,383,897,538,559,
054,857,269,318,295,781,440,679,831,871,754,777,807,210,906,843,791,035,342,
828,463,164,261,601,172,414,689,617,153,452,639,914,437,026,697,523,550,553,
206,362,276,552,611,044,255,347,458,577,907,838,292,178,062,593,910,183,961,
681,447,606,590,235,764,200,121,755,853,073,620,601,954,202,293,011,979,791,
574,546,111,766,790,783,561,965,460,192,810,079,399,829,740,714,119,132,929,
053,611,962,434,227,924,064,456,144,447,259,030,397,302,747,594,174,110,487,
759,318,547,859,581,002,624,737,080,926,326,135,370,767,614,154,548,124,487,
828,292,104,280,601,038,625,139,506,388,632,829,216,977,158,903,320,039,504,
632,395,750,450,155,239,569,004,711,839,489,309,299,270,181,918,326,823,500,
470,781,666,392,742,350,957,434,867,653,542,943,331,811,954,735,513,238,671,
727,721,553,133,441,012,241,145,149,495,922,327,656,089,330,684,873,639,799,
629,950,061,991,471,599,046,360,365,511,430,840,334,354,961,694,445,385,166,
204,637,445,500,207,761,558,000,714,605,378,067,003,881,237,655,770,357,806,
977,586,120,653,459,995,763,074,664,496,054,746,655,012,561,263,744,289,175,
244,493,757,518,261,663,630,898,383,027,010,789,081,240,098,112,141,523,975,
428,490,177,912,974,423,675,650,826,261,524,308,314,096,056,835,294,842,358,
654,413,598,295,347,893,771,583,066,881,653,493,129,099,777,118,468,210,852,
400,580,686,373,269,396,082,866,673,332,601,751,022,125,528,818,207,066,659,
621,736,413,055,358,234,952,336,046,314,293,697,608,404,067,909,439,909,940,
625,745,460,561,910,043,557,049,536,949,174,889,429,876,983,193,770,588,051,
250,912,670,165,881,714,236,131,503,325,195,850,729,505,250,734,297,942,511,
605,451,386,088,565,419,205,570,368,718,072,994,537,887,083,924,247,296,553,
230,781,973,356,264,837,845,449,157,779,828,435,633,024,276,906,633,755,830,
697,741,788,926,179,264,963,109,239,848,857,283,237,037,272,367,518,516,081,
517,276,595,080,250,731,944,265,948,603,215,114,816,023,241,810,521,343,026,
495,252,365,246,761,179,559,920,678,881,225,996,960,531,544,738,948,731,720,
729,740,642,995,612,170,224,237,985,450,467,205,909,241,791,192,068,210,733,
681,460,237,780,139,487,635,047,669,700,619,044,234,765,619,542,582,866,222,
192,251,493,045,689,120,485,745,846,929,490,085,075,742,001,115,578,505,158,
465,742,183,694,934,966,473,493,727,056,767,393,267,590,220,767,757,836,373,
197,183,168,379,969,390,370,728,235,969,550,348,767,096,945,995,810,320,291,
828,537,407,987,306,474,821,317,437,894,250,394,765,653,085,619,977,921,778,
960,797,718,645,193,663,967,925,225,289,585,516,985,392,594,864,274,719,378,
473,408,046,186,137,381,302,807,242,577,012,789,593,435,428,556,272,071,735,
604,673,490,885,081,417,504,983,178,469,775,528,069,719,744,878,030,383,404,
392,642,003,148,686,074,782,110,834,240,271,169,147,778,467,316,075,895,688,
588,773,792,212,802,029,210,033,160,137,306,653,096,778,669,867,177,368,310,
059,688,164,489,183,985,978,052,205,113,537,339,750,848,607,859,451,992,565,
812,952,220,292,939,052,818,554,542,214,894,294,433,903,866,888,321,484,734,
409,658,895,177,460,818,997,325,057,526,229,358,426,407,643,803,695,513,348,
254,035,649,156,234,101,361,209,593,513,843,806,254,186,227,362,872,481,925,
000,047,158,463,813,490,434,246,136,599,789,398,554,352,480,384,766,191,778,
418,039,888,893,926,570,479,801,507,428,523,744,550,968,707,335,468,833,565,
678,846,112,762,351,068,733,773,301,464,314,862,560,500,219,454,030,473,244,
826,810,721,456,579,295,330,533,027,035,237,099,845,501,364,047,825,921,958,
357,931,300,882,978,260,649,889,344,951,235,343,403,606,972,657,016,866,983,
477,716,265,354,667,834,758,949,925,112,411,206,119,496,161,836,019,840,240,
906,361,890,445,300,496,296,683,154,459,729,372,305,298,064,236,539,131,780,
460,382,743,312,791,748,586,567,586,925,926,202,957,644,176,704,212,918,466,
552,369,687,194,797,924,355,547,649,688,171,098,552,504,543,449,632,557,663,
428,783,889,967,750,905,873,458,809,055,167,718,728,316,570,316,913,204,395,
005,624,097,355,577,385,024,212,985,166,866,791,085,979,885,073,365,558,397,
004,015,283,624,718,023,973,653,195,164,255,859,951,770,498,690,819,330,346,
693,237,959,122,207,388,842,242,783,595,593,667,742,368,260,222,239,288,507,
882,614,581,618,471,093,620,725,941,294,742,859,617,801,692,962,669,118,274,
855,496,016,072,694,277,021,531,186,378,717,097,250,420,836,601,404,392,677,
931,329,172,319,932,451,880,292,133,567,531,174,044,484,898,319,280,486,561,
742,233,683,397,022,087,678,475,096,410,676,178,643,602,862,119,285,979,781,
076,529,249,722,556,791,931,150,041,169,582,239,253,687,778,355,639,399,374,
569,955,209,784,166,662,264,676,490,869,154,203,244,283,498,275,532,235,620,
416,826,270,493,313,159,474,283,830,491,917,210,448,720,758,478,012,474,081,
265,940,966,331,619,411,830,818,720,465,066,354,900,179,857,189,415,229,728,
289,435,139,674,111,703,860,669,532,813,607,262,713,303,730,922,414,501,096,
316,606,720,814,443,499,782,004,556,231,065,955,386,123,910,208,066,534,909,
433,027,819,479,755,003,223,384,526,499,995,131,858,732,370,675,102,795,745,
338,074,603,779,559,365,651,075,476,482,855,140,143,180,949,034,360,936,240,
389,562,188,003,242,370,650,090,116,008,661,980,128,473,688,879,462,574,841,
813,821,330,322,017,854,393,500,277,593,460,962,931,594,863,955,334,110,117,
443,536,044,856,844,482,087,136,881,311,140,411,235,762,280,268,183,272,439,
552,488,839,314,308,679,368,593,291,675,383,637,644,128,019,727,158,430,227,
731,280,894,921,563,747,882,859,376,171,642,717,136,376,838,873,656,745,550,
450,483,177,770,671,329,556,552,086,309,486,438,342,515,353,504,324,063,348,
806,112,340,736,591,856,385,844,103,893,010,104,695,052,100,841,751,654,110,
344,205,126,733,810,781,584,164,133,415,559,137,690,910,548,299,106,228,233,
969,780,765,358,909,033,492,061,966,496,811,373,475,901,046,723,598,446,754,
205,461,181,508,274,042,165,440,134,213,379,547,230,646,943,225,115,376,161,
209,208,305,837,991,917,247,853,387,774,083,580,080,654,995,178,861,607,309,
285,989,090,043,496,833,646,525,748,320,490,496,023,631,915,297,048,481,402,
308,659,305,136,391,575,953,885,700,298,223,563,126,632,497,204,848,677,839,
274,339,323,063,059,197,543,112,977,344,254,785,581,712,118,899,653,902,605,
468,298,866,970,137,532,925,905,291,649,326,924,088,948,877,092,428,615,578,
210,621,012,306,835,611,708,065,064,992,044,891,814,089,772,848,693,934,586,
333,613,976,148,459,568,954,398,950,028,701,966,170,353,448,625,989,064,713,
272,140,525,532,711,284,245,521,562,221,278,271,801,393,299,641,465,992,227,
750,629,837,977,597,895,280,130,508,348,533,908,305,085,025,507,159,390,418,
306,688,490,556,155,302,810,751,223,275,640,255,260,980,341,463,542,433,960,
828,842,297,881,293,336,304,753,652,594,087,118,919,931,965,623,920,992,082,
323,076,180,582,933,750,902,177,204,873,433,143,996,803,597,613,817,779,957,
320,370,361,640,451,769,498,575,379,205,401,975,639,084,503,761,120,868,260,
899,157,362,259,877,282,288,547,366,420,598,462,272,645,211,038,854,795,724,
904,695,313,053,930,108,126,380,297,967,023,773,796,409,467,892,065,408,680,
186,887,570,851,357,723,967,613,867,290,618,887,767,093,669,287,434,877,675,
467,564,372,031,395,431,746,048,545,996,456,236,668,629,751,571,964,957,279,
846,034,999,998,140,510,225,865,887,700,424,292,409,965,622,004,038,879,766,
259,645,275,726,638,008,852,141,967,810,732,790,912,764,695,690,343,509,037,
843,811,956,172,144,193,739,954,663,308,704,913,025,732,751,902,591,223,462,
634,152,383,543,476,201,917,899,533,767,809,336,134,750,631,545,649,487,833,
786,059,175,311,153,870,403,551,952,671,381,126,300,621,934,210,910,528,526,
390,282,279,385,584,323,121,723,051,253,544,510,060,848,877,809,249,989,192,
189,935,889,412,415,730,846,444,932,147,111,557,156,906,933,630,063,405,012,
292,088,724,956,547,400,379,592,813,496,169,649,872,906,694,069,634,708,419,
498,241,883,713,543,039,803,559,125,979,342,390,104,746,211,457,347,481,676,
928,256,637,489,508,565,389,417,055,661,594,430,646,777,461,784,403,331,406,
119,316,379,247,883,631,065,108,990,738,018,977,298,474,030,709,140,627,182,
974,763,295,571,856,460,328,294,962,797,911,879,138,577,468,679,979,502,801,
950,216,654,662,568,998,101,545,791,147,605,228,670,284,054,695,066,909,952,
246,414,960,658,233,737,400,307,595,562,016,515,868,238,666,004,561,528,145,
783,735,840,393,827,836,670,369,037,922,244,126,635,585,305,937,299,171,179,
770,013,642,284,622,533,620,411,016,728,614,789,522,756,088,540,001,791,278,
172,411,135,371,815,248,258,918,360,194,029,205,776,286,347,345,067,306,293,
880,958,701,676,619,474,833,059,874,222,236,264,559,612,156,869,750,160,099,
549,538,720,367,414,333,852,299,083,635,456,824,664,996,616,572,769,262,099,
936,804,575,661,314,052,129,798,285,054,553,373,405,634,297,305,184,379,289,
373,496,673,207,740,641,503,350,953,795,492,867,344,074,366,088,924,372,454,
874,958,756,810,857,964,387,768,301,298,216,962,417,106,708,216,392,593,893,
272,377,102,538,025,449,340,856,586,161,762,101,317,570,121,044,138,602,911,
732,169,367,259,133,083,165,354,098,785,151,909,537,132,139,952,817,330,127,
311,249,147,727,339,392,007,337,577,745,788,960,430,534,328,201,989,495,552,
398,815,156,015,016,854,464,656,953,650,811,942,460,148,625,284,564,206,459,
292,448,915,550,066,522,693,989,350,011,871,667,427,375,874,297,820,817,021,
145,383,851,529,258,246,650,607,012,633,363,770,461,970,974,284,509,133,441,
860,000,244,812,150,533,803,297,144,534,766,447,603,332,953,844,249,755,363,
616,576,760,810,754,899,548,613,049,002,934,760,630,090,951,966,499,340,859,
752,651,863,359,475,191,444,722,475,428,592,283,306,599,577,428,989,078,490,
210,830,252,571,708,756,533,461,047,102,168,214,355,945,652,498,511,323,855,
981,128,268,391,415,847,257,335,550,585,564,544,135,370,488,235,822,386,302,
639,419,017,331,229,453,062,344,471,629,998,678,347,658,323,915,593,837,292,
095,318,725,880,088,257,793,633,222,918,757,093,278,700,215,560,935,994,779,
735,703,759,885,023,827,101,091,529,230,109,963,062,064,525,451,470,713,561,
492,807,823,750,850,843,607,316,463,108,057,227,636,208,323,182,879,832,473,
531,737,869,658,791,777,708,922,414,850,441,293,765,768,636,560,185,060,929,
316,398,942,974,017,634,490,234,966,709,708,567,043,733,741,479,901,873,728,
524,291,807,693,861,746,177,137,301,320,624,190,078,321,168,336,433,456,810,
885,668,828,929,032,154,962,438,575,460,441,219,380,777,059,642,666,311,903,
858,168,007,676,554,066,598,244,487,470,659,889,229,197,373,979,552,996,555,
593,646,015,265,828,451,494,374,244,987,345,670,767,960,655,250,565,515,080,
053,445,750,868,816,424,588,094,759,109,241,294,192,768,748,110,910,201,349,
560,275,489,107,546,831,485,392,979,050,041,501,056,603,463,521,093,387,487,
204,135,124,168,792,862,356,886,183,273,704,610,670,093,636,312,467,141,866,
940,632,357,328,033,500,425,177,417,631,324,324,416,276,590,485,506,157,669,
939,444,169,398,202,770,972,026,362,857,707,152,233,209,738,654,114,494,651,
782,529,083,364,121,574,996,890,849,681,556,448,697,587,402,596,046,051,854,
008,392,701,167,585,720,074,194,145,953,080,050,295,886,049,842,682,921,917,
098,896,830,262,704,498,679,379,494,375,068,433,349,209,230,214,014,851,650,
864,316,307,877,766,543,526,316,147,708,676,185,723,491,765,466,038,945,466,
202,810,376,560,583,819,492,806,158,595,586,977,986,352,736,414,616,896,176,
727,850,500,184,930,282,481,783,058,591,879,316,017,391,350,469,771,358,390,
856,800,660,975,298,684,737,839,406,009,722,722,929,769,003,721,432,685,624,
972,700,874,807,397,949,596,427,586,019,251,517,125,032,897,459,610,080,671,
272,623,436,835,413,659,077,791,779,799,002,771,676,776,922,589,041,451,689,
831,406,739,398,424,830,490,330,187,423,306,269,344,199,442,468,520,072,111,
318,260,543,221,429,316,381,978,347,782,765,486,644,584,380,775,363,610,928,
297,929,492,833,900,407,851,986,832,713,536,427,150,648,757,659,186,605,176,
618,089,352,942,580,095,418,277,784,118,683,145,622,421,383,590,253,164,628,
796,880,041,949,327,997,459,941,408,953,893,802,254,898,848,408,267,684,777,
698,622,805,012,791,470,532,439,305,911,145,283,444,721,925,958,698,158,264,
768,639,338,545,376,697,081,697,152,842,692,472,460,743,094,533,862,025,463,
219,824,725,937,151,274,107,688,309,156,010,779,677,472,338,214,967,818,521,
205,917,159,066,132,285,074,011,449,177,456,248,211,947,782,728,410,688,047,
662,004,041,678,571,063,068,020,093,518,189,654,777,465,116,234,440,204,958,
491,846,215,184,360,511,029,048,025,796,429,116,227,286,292,582,500,322,697,
237,025,705,845,996,027,305,456,295,123,533,303,717,408,326,431,756,906,078,
241,081,714,502,450,467,704,130,933,988,638,699,027,612,764,191,262,368,712,
149,934,388,453,617,819,151,579,111,407,293,714,234,975,611,308,675,591,744,
723,803,796,219,929,127,738,608,521,594,189,000,685,661,953,381,320,792,444,
366,549,541,304,327,230,685,757,766,800,855,769,626,285,694,478,761,967,924,
569,955,762,269,001,448,344,356,174,106,076,467,547,074,107,468,959,791,155,
894,595,405,490,808,287,582,146,799,292,891,452,269,854,858,182,122,554,579,
740,029,125,928,390,025,049,023,084,391,820,340,966,727,278,403,520,946,204,
972,828,188,476,417,317,000,281,292,089,167,128,087,928,442,886,923,192,655,
866,234,700,969,916,993,932,642,755,746,082,943,258,984,015,387,649,335,675,
297,523,769,174,334,031,846,222,328,184,198,794,772,202,554,107,179,337,126,
868,009,297,792,270,927,592,771,279,094,097,208,002,697,389,997,939,998,275,
926,817,004,636,337,621,430,333,848,637,466,405,585,778,885,376,112,185,418,
186,074,464,830,113,251,883,496,810,449,805,685,524,489,702,454,877,996,236,
888,461,016,092,186,678,448,764,223,803,038,716,016,481,519,473,659,684,248,
750,030,016,593,270,629,347,675,276,292,181,382,164,958,627,679,986,945,211,
681,260,370,034,353,195,185,655,410,218,894,534,082,119,909,224,289,788,993,
125,412,411,439,800,380,311,624,413,326,563,640,921,492,416,311,510,359,071,
836,042,845,847,357,314,012,013,656,387,356,600,502,996,348,497,534,924,334,
741,361,816,948,915,142,796,677,034,444,727,380,010,109,040,273,234,415,374,
154,826,676,503,684,476,153,217,374,353,049,612,953,870,538,296,119,916,909,
007,602,402,577,519,007,498,990,333,393,596,504,572,930,561,421,226,201,126,
550,584,409,280,342,155,607,101,990,465,742,539,855,505,994,904,457,901,550,
148,848,966,423,196,487,277,269,151,568,764,783,364,728,090,967,318,520,849,
703,804,113,520,005,295,189,882,215,408,442,442,986,520,870,498,261,621,607,
081,825,285,728,708,028,885,624,164,874,345,254,700,150,455,115,053,150,073,
301,603,262,472,625,578,948,833,142,710,357,332,236,239,634,745,785,831,993,
144,997,316,870,998,646,846,715,450,772,777,396,156,176,553,320,813,720,417,
318,120,243,941,803,671,345,885,505,312,520,173,695,383,470,323,906,640,610,
726,728,238,993,245,216,810,661,976,539,795,841,829,811,367,702,018,979,639,
882,750,326,079,768,381,273,142,157,184,697,437,342,560,407,189,569,803,949,
374,745,047,854,559,711,730,434,643,271,601,950,512,187,425,221,695,571,624,
195,314,820,295,722,690,360,578,114,790,255,097,443,669,422,927,854,258,896,
039,562,539,542,177,905,543,007,081,672,984,817,958,520,823,383,711,021,165,
206,184,732,457,984,074,552,702,808,823,600,132,635,224,843,742,205,279,149,
587,702,963,459,907,035,217,055,720,551,563,150,947,296,249,080,212,143,092,
336,184,024,557,639,475,642,014,875,344,010,877,177,869,630,933,661,299,624,
101,950,347,466,390,130,795,514,954,097,691,611,982,509,610,302,997,624,307,
851,550,514,384,581,790,807,120,123,336,189,618,100,249,201,317,899,789,601,
363,288,228,618,618,233,689,575,001,795,764,869,949,453,598,992,665,553,571,
148,325,444,391,479,620,637,929,324,925,675,501,989,531,811,246,868,837,288,
892,619,429,541,725,668,182,153,191,854,335,440,681,195,511,638,217,629,815,
262,131,155,685,740,845,348,306,036,232,963,876,256,371,343,901,439,156,277,
323,091,007,644,077,304,790,416,762,359,509,375,855,903,853,027,969,233,832,
372,699,233,313,689,583,780,976,404,013,811,819,201,718,059,036,629,610,934,
457,267,829,876,413,310,906,893,227,201,887,918,396,807,809,239,489,573,947,
547,612,326,270,566,754,751,016,962,976,944,526,481,547,646,783,112,077,749,
523,178,691,552,760,021,021,213,258,076,236,961,637,451,397,664,145,643,341,
634,210,291,076,986,656,464,697,310,179,107,993,226,728,128,243,619,518,173,
978,360,080,029,852,420,721,680,347,308,202,499,106,264,308,764,044,554,731,
006,504,460,826,074,501,944,299,745,398,277,632,768,029,669,998,651,346,885,
815,347,381,276,518,816,653,390,651,559,645,062,886,681,428,535,558,031,672,
675,672,103,298,286,319,622,948,826,342,018,467,493,459,879,005,799,000,376,
468,284,535,418,180,163,284,072,425,065,187,514,394,139,488,627,201,574,084,
711,351,025,664,578,696,472,145,163,482,645,417,598,012,701,270,496,275,383,
930,162,849,811,286,092,850,403,262,699,584,151,026,531,399,945,706,286,390,
706,358,197,619,911,062,863,808,501,512,293,201,804,663,034,750,460,927,243,
084,648,560,373,187,228,259,672,880,220,675,896,051,683,076,781,978,257,508,
702,389,982,205,473,076,600,526,667,234,507,065,221,645,985,821,866,559,289,
985,899,027,982,126,821,332,096,567,791,273,912,134,592,365,011,498,138,606,
904,003,040,435,505,938,820,824,966,445,678,581,316,592,363,114,871,973,051,
189,578,901,712,380,156,724,463,952,637,157,062,766,608,240,867,129,225,392,
117,642,651,591,785,508,271,648,144,381,310,459,464,917,051,260,735,643,849,
565,174,095,242,211,923,084,395,002,424,857,206,438,126,510,081,530,041,411,
293,469,054,502,511,715,343,848,242,628,480,331,770,058,043,935,563,514,369,
756,082,795,813,634,576,601,610,060,481,078,887,719,030,689,521,793,470,764,
472,430,401,863,769,523,529,299,217,004,308,032,408,652,023,966,341,093,963,
532,625,946,679,426,038,303,786,189,636,601,584,548,592,944,767,274,888,346,
116,928,832,194,926,222,502,038,523,929,861,436,956,267,440,825,332,642,591,
126,151,703,404,235,721,290,190,577,596,714,185,808,032,025,682,496,815,573,
426,471,138,440,574,963,079,285,642,583,257,499,002,915,555,800,902,523,260,
950,077,592,285,708,710,851,385,467,763,649,478,861,952,015,756,615,648,467,
250,067,002,610,977,553,904,392,046,155,506,008,969,091,240,485,007,225,082,
048,471,295,901,003,167,736,939,316,855,349,641,803,658,339,567,436,076,757,
740,354,429,560,542,317,960,260,929,197,026,646,927,070,504,176,797,327,880,
328,601,973,486,698,669,257,336,247,078,537,387,905,907,203,353,387,774,947,
927,110,674,793,531,866,329,946,539,774,423,533,973,752,460,846,394,901,756,
642,134,726,822,131,812,139,291,031,290,746,085,449,401,987,792,398,322,556,
435,029,379,505,345,701,755,743,800,515,517,876,737,607,523,535,412,155,570,
210,328,449,264,568,852,098,949,794,405,807,480,520,616,244,955,355,194,707,
489,917,616,889,114,386,669,379,173,034,462,861,777,048,838,398,549,517,518,
826,028,334,442,538,791,932,681,491,467,062,613,191,539,968,184,588,679,740,
484,061,201,927,622,859,796,272,890,153,054,506,912,615,402,511,334,748,277,
845,018,239,079,895,184,867,815,611,226,223,239,251,804,194,247,230,577,767,
854,737,861,078,516,364,893,759,808,302,985,227,825,312,793,407,082,309,717,
236,377,617,300,204,655,883,992,406,624,198,928,247,333,898,402,128,048,246,
095,136,337,502,631,667,723,935,226,659,769,398,565,000,071,221,321,808,980,
560,926,006,615,083,586,674,908,777,186,634,308,109,339,456,077,122,349,080,
248,317,831,990,154,918,253,234,614,160,700,106,756,519,458,671,826,278,160,
228,197,136,051,399,209,148,978,068,944,793,236,064,380,470,292,106,516,517,
552,795,887,759,514,902,211,534,959,810,057,692,459,449,230,347,383,585,502,
788,606,436,702,766,853,152,180,347,155,892,457,627,341,875,988,637,983,425,
352,638,948,881,017,275,819,114,967,917,359,669,536,862,865,995,448,101,308,
217,876,102,311,080,992,875,571,072,890,364,219,939,058,881,019,311,346,787,
781,359,723,081,391,478,917,906,446,742,961,224,083,156,249,938,647,551,379,
824,844,421,375,674,768,704,022,067,455,785,448,805,399,965,317,800,079,237,
902,855,902,542,624,178,758,267,756,925,803,743,651,728,153,453,227,948,407,
160,081,789,658,529,399,778,905,935,829,782,953,618,778,061,121,274,983,684,
716,585,679,141,392,504,466,305,538,833,031,934,539,749,148,659,897,045,016,
542,514,385,974,048,773,000,727,122,853,802,268,828,427,615,351,162,107,138,
952,747,114,092,437,794,380,107,896,235,902,371,099,537,192,365,005,978,903,
594,730,485,546,645,775,532,656,833,228,076,239,566,108,255,912,652,831,932,
581,476,922,389,739,969,446,516,890,251,816,435,947,333,214,152,435,433,539,
155,275,915,489,780,162,036,836,784,382,748,869,709,404,442,457,791,576,524,
704,613,734,494,096,452,860,194,282,736,785,383,571,734,133,778,352,638,470,
926,174,898,589,919,559,885,209,448,454,903,713,825,125,070,579,777,097,233,
824,211,225,552,023,914,238,611,700,286,591,220,572,195,791,577,646,847,706,
789,738,919,487,733,117,955,408,933,996,367,985,697,855,919,303,071,670,683,
031,759,586,205,184,351,110,571,282,655,205,482,131,902,238,219,318,797,157,
043,649,693,669,624,686,782,950,086,310,910,092,744,851,264,675,186,808,937,
927,492,531,519,492,023,040,008,036,258,922,571,509,900,063,762,238,852,244,
548,154,483,670,505,432,350,577,222,042,355,585,803,200,878,943,998,219,238,
495,483,357,786,317,013,430,575,593,057,653,325,497,292,582,990,144,678,450,
743,011,144,977,791,668,733,140,196,153,250,310,532,847,951,535,240,381,529,
984,399,846,422,077,640,361,526,912,940,587,493,301,943,010,631,082,662,852,
955,950,685,419,418,832,081,255,994,674,742,816,402,293,691,815,563,925,545,
200,065,425,787,291,489,575,646,407,828,078,896,915,015,649,809,161,161,255,
450,462,619,752,636,180,771,115,663,091,007,379,242,602,779,491,879,635,326,
010,184,370,063,637,916,632,111,072,804,897,894,367,352,577,131,712,504,331,
697,888,760,101,470,801,552,605,503,154,622,679,868,176,796,147,786,718,387,
576,428,971,466,096,732,201,354,235,812,168,739,146,886,924,524,261,442,294,
691,825,494,356,582,546,312,194,391,662,683,468,548,878,253,514,400,660,922,
088,777,311,270,253,685,353,476,963,781,274,551,532,695,295,754,941,982,508,
588,087,706,350,740,371,312,419,512,600,866,549,812,199,262,144,055,323,531,
264,819,806,605,204,334,178,573,235,949,985,981,149,542,632,992,631,770,356,
079,810,744,027,965,245,075,012,362,670,460,152,910,809,833,041,708,270,075,
783,108,575,372,144,393,746,533,997,851,323,155,313,590,274,612,892,692,396,
949,920,977,076,440,678,871,893,020,057,150,703,947,276,768,614,431,372,918,
930,702,182,328,327,087,550,226,307,483,535,210,425,391,785,760,403,566,538,
779,778,829,028,830,995,755,111,566,812,937,646,478,487,040,004,688,196,917,
028,225,234,251,507,786,359,146,755,372,980,469,398,421,158,665,428,471,732,
630,229,468,909,409,114,736,398,224,672,808,310,687,975,018,452,393,955,134,
719,131,083,078,338,167,280,408,885,757,130,454,625,423,230,875,361,763,798,
234,499,962,888,848,161,181,430,350,263,328,230,574,809,705,587,777,504,394,
094,759,566,379,118,440,262,424,006,062,394,081,344,919,959,005,689,077,089,
086,410,268,958,778,491,121,837,212,771,189,710,620,487,742,419,967,327,423,
454,766,681,753,589,449,314,252,304,294,024,352,162,854,747,676,876,497,968,
562,375,922,423,549,068,922,346,870,288,559,877,216,067,548,401,654,524,584,
572,317,039,280,123,300,654,685,508,691,280,485,753,983,352,578,915,541,275,
917,440,583,171,137,095,380,720,256,748,594,062,681,610,040,493,963,542,118,
361,190,844,676,923,912,329,761,288,021,659,598,114,148,533,198,227,146,026,
498,019,017,818,009,077,728,448,113,568,123,148,111,938,396,742,109,778,670,
740,481,048,527,421,366,492,516,393,966,342,081,402,102,042,890,746,582,306,
504,620,878,436,283,937,100,114,663,374,994,873,247,977,578,527,684,237,615,
665,950,638,913,286,300,726,477,776,485,660,701,183,213,217,191,755,749,542,
522,474,901,475,947,404,265,065,846,776,256,437,804,347,911,700,749,141,838,
677,903,623,525,505,468,858,171,716,516,656,432,955,032,264,590,770,091,614,
016,877,092,528,336,280,504,482,284,287,736,052,650,323,228,205,260,640,228,
360,797,550,062,712,380,676,938,589,425,022,708,810,362,467,647,080,345,355,
399,476,367,087,908,719,208,697,479,098,241,951,618,349,987,144,451,110,233,
856,124,315,552,624,653,179,619,932,642,428,618,664,340,324,988,313,027,521,
415,961,256,872,138,303,065,460,004,850,558,680,839,964,977,030,608,971,993,
298,844,218,351,531,228,589,073,597,021,327,660,946,160,808,497,202,447,618,
744,636,897,663,611,936,904,482,052,727,736,881,621,479,921,937,117,727,659,
099,175,393,095,031,265,092,800,834,884,047,190,688,521,128,904,663,983,424,
334,484,872,199,941,510,937,012,644,408,333,749,181,756,134,887,188,767,516,
881,243,745,995,335,394,154,401,678,601,421,977,626,966,891,618,871,662,021,
357,384,613,990,651,146,124,705,032,866,809,203,384,080,692,872,504,351,655,
881,083,740,005,196,256,409,859,911,971,848,465,545,047,971,842,400,786,835,
417,762,597,051,081,674,027,936,113,609,941,363,251,284,818,887,479,870,318,
524,815,893,924,838,180,519,747,374,378,294,379,245,810,352,286,785,336,230,
140,735,843,897,186,204,996,475,947,243,097,355,191,129,037,061,859,178,682,
571,894,507,257,303,708,366,942,903,796,585,713,349,379,026,363,704,987,363,
003,595,824,411,896,022,816,993,495,848,308,578,710,661,599,647,668,780,394,
756,775,760,644,130,582,464,899,103,326,809,063,681,743,510,858,688,968,204,
190,001,489,068,671,935,619,876,899,585,883,945,467,390,665,955,050,050,860,
786,349,112,610,075,355,936,563,435,623,265,260,869,019,386,689,371,246,145,
508,595,769,900,055,345,374,503,410,500,058,203,466,789,576,650,085,850,497,
568,857,313,449,052,869,566,764,349,152,544,060,146,062,492,966,955,979,880,
830,739,296,579,444,975,447,525,845,338,657,073,999,169,938,978,672,132,626,
848,222,872,219,666,394,770,456,008,954,160,878,794,400,144,849,010,716,713,
028,066,651,825,763,329,142,710,850,552,552,179,475,957,477,784,414,009,279,
343,662,826,541,367,184,295,181,478,595,124,429,833,075,180,449,368,178,877,
564,772,159,613,530,356,207,033,768,139,857,182,000,012,341,635,884,899,667,
888,131,105,424,803,865,371,112,507,858,693,183,924,101,659,044,269,378,036,
545,287,462,743,709,099,728,911,879,253,127,333,595,813,334,894,104,416,787,
640,179,601,319,881,157,784,282,590,236,265,462,499,496,899,779,439,781,450,
372,550,183,597,608,944,354,172,062,434,589,707,710,729,691,955,685,645,007,
814,644,257,762,167,665,389,919,768,023,657,688,000,347,567,016,129,721,139,
761,570,176,980,584,656,201,434,048,853,400,433,030,617,305,253,787,262,112,
375,097,849,283,176,199,421,978,093,522,293,247,464,794,363,100,630,488,706,
184,021,666,265,823,862,154,607,619,971,585,464,844,633,901,512,228,281,983,
515,386,766,919,865,583,894,479,579,139,024,064,095,283,595,286,328,856,792,
308,404,338,548,121,742,305,893,363,829,161,351,924,508,322,032,412,639,680,
670,788,520,404,999,517,334,050,247,992,017,925,547,423,736,337,774,139,426,
110,750,309,362,793,177,822,867,030,438,705,365,151,386,018,049,535,558,732,
755,751,183,897,421,362,469,790,279,085,221,013,420,089,998,828,181,198,328,
460,930,842,130,262,595,880,207,675,390,113,094,346,547,086,892,991,326,240,
035,211,195,459,745,336,323,110,120,543,118,432,931,577,200,596,935,339,744,
214,712,341,305,479,832,465,516,858,488,674,737,571,720,516,651,572,003,964,
984,537,504,344,314,612,891,545,832,036,871,099,793,787,618,739,499,651,639,
026,800,515,410,043,437,497,344,558,499,003,980,800,631,800,485,954,080,613,
767,173,252,059,932,222,643,476,096,561,688,521,375,789,766,502,512,076,448,
003,217,891,727,237,347,787,870,911,712,651,656,110,763,788,875,652,528,356,
679,095,024,186,282,362,188,039,177,160,570,227,628,870,719,637,155,141,530,
697,929,631,494,731,602,511,185,701,220,746,503,436,174,904,130,466,231,261,
541,965,922,557,141,764,481,244,906,203,065,159,300,535,916,642,801,092,945,
890,400,994,339,152,386,731,652,260,829,251,766,203,379,034,845,827,192,113,
549,587,228,715,422,595,533,002,392,915,237,615,126,576,675,405,207,225,040,
703,613,074,411,088,363,437,610,163,838,077,939,015,045,629,358,770,250,327,
827,907,708,984,803,345,753,952,777,444,592,188,050,463,368,031,732,685,538,
217,375,897,693,235,392,620,196,469,813,857,542,779,949,799,750,289,685,356,
533,578,700,937,995,580,499,546,146,488,188,073,277,544,403,637,735,099,603,
312,945,343,634,540,941,105,453,697,894,391,642,866,929,074,979,168,231,856,
831,666,753,757,148,190,229,019,320,726,245,221,352,340,749,663,879,637,371,
804,436,755,546,435,055,857,156,577,657,078,408,731,605,696,090,586,084,461,
149,816,999,818,675,380,750,903,565,032,647,599,526,733,049,452,337,464,565,
703,245,795,324,271,066,879,228,386,546,240,639,786,832,276,980,115,502,381,
735,129,157,826,799,597,641,076,607,259,015,872,856,859,181,267,657,976,167,
306,054,060,889,190,372,550,101,658,386,045,471,185,011,881,968,822,620,590,
630,186,711,417,580,412,796,879,552,458,319,574,962,118,281,732,302,743,708,
967,321,098,051,383,970,373,752,388,412,594,135,941,558,893,933,976,295,726,
172,211,762,540,080,439,795,747,500,589,442,314,052,115,560,830,955,446,096,
180,205,112,412,312,979,903,730,241,676,368,135,686,596,460,411,889,788,572,
737,280,983,815,657,315,717,928,539,480,997,145,471,575,047,382,634,485,253,
866,013,578,973,422,261,316,931,436,450,214,519,052,653,573,089,150,420,247,
269,119,087,652,486,726,018,821,748,918,395,145,773,293,769,444,604,611,622,
466,191,533,416,996,090,222,889,671,732,475,107,734,234,934,629,899,280,222,
894,342,199,238,930,018,721,721,076,051,045,531,655,963,337,383,522,742,401,
030,526,674,211,918,710,951,260,086,819,940,969,759,481,351,519,772,723,896,
757,499,502,945,763,143,427,951,447,154,405,850,418,441,394,233,031,671,892,
443,660,209,386,253,422,614,613,773,476,219,843,562,010,519,225,081,728,641,
044,319,414,301,103,466,687,224,416,180,504,796,420,580,791,247,467,170,959,
351,005,164,924,037,239,204,817,933,989,328,338,389,341,775,238,030,412,635,
631,445,872,791,596,893,738,841,918,731,214,857,973,302,838,139,528,389,022,
859,070,543,856,218,492,199,687,441,519,978,763,962,181,590,977,946,241,271,
563,640,518,559,542,854,361,081,064,929,312,436,037,299,308,367,815,349,597,
131,333,222,503,779,187,679,648,535,431,163,024,541,319,238,470,185,534,400,
373,789,736,251,563,402,562,364,806,285,834,064,132,731,452,363,842,849,427,
255,369,508,720,906,022,621,426,160,331,534,142,663,973,055,198,229,787,833,
922,265,313,378,944,860,905,577,560,425,262,150,986,393,117,689,451,971,852,
479,336,374,359,314,660,401,282,077,223,306,746,466,398,592,523,543,958,251,
798,015,301,365,740,861,108,598,007,004,521,190,768,890,114,796,046,950,226,
882,853,822,012,245,365,997,232,384,643,835,090,754,528,041,313,737,618,776,
264,551,273,392,477,343,103,510,626,016,986,751,334,309,875,049,789,509,004,
478,914,808,858,938,042,515,180,680,677,632,525,960,567,004,881,590,984,226,
289,194,595,230,615,259,658,855,544,945,694,456,370,366,297,349,751,516,681,
496,445,333,240,290,763,847,978,619,616,943,401,787,831,606,911,317,242,943,
199,212,522,798,941,166,844,705,189,625,280,672,516,649,043,373,565,356,831,
155,639,005,775,020,524,776,570,317,258,887,748,573,372,923,315,015,986,704,
712,752,774,585,199,900,216,207,435,812,200,525,947,653,706,463,458,702,682,
628,129,601,517,147,524,340,717,910,507,385,527,509,575,438,365,407,353,438,
415,039,948,951,828,843,513,069,720,977,929,258,457,020,979,746,619,842,404,
705,201,458,545,110,933,353,612,523,747,158,274,921,555,016,225,538,177,877,
414,606,781,276,384,186,531,722,851,283,297,419,022,186,361,318,793,257,547,
189,649,378,673,482,763,499,060,829,451,429,629,507,768,576,239,725,641,869,
610,989,927,787,720,798,219,633,194,133,342,083,163,543,436,510,711,920,721,
903,027,754,946,202,741,318,109,139,052,990,385,380,270,200,607,028,455,173,
515,583,432,318,291,258,872,760,407,274,864,890,713,156,597,453,989,517,727,
632,068,982,601,073,046,405,161,987,269,401,182,904,700,314,673,685,819,343,
348,505,034,909,301,583,387,722,718,749,072,078,821,860,206,578,108,391,912,
698,548,245,746,409,936,885,042,656,814,971,320,835,841,089,905,165,253,513,
253,431,510,680,983,372,025,305,681,191,320,066,062,668,069,951,651,429,074,
214,032,140,441,630,573,183,230,279,027,575,624,861,744,641,742,358,375,602,
047,792,804,219,313,162,806,435,231,966,736,700,676,804,505,318,468,120,686,
640,136,116,071,233,318,927,417,854,791,551,990,539,744,515,541,221,693,224,
662,333,486,080,985,569,304,945,594,886,625,848,610,181,907,000,523,812,479,
864,911,599,079,302,433,633,522,507,946,981,029,353,708,526,829,842,006,835,
732,236,512,481,108,905,441,853,733,844,909,526,764,363,911,670,327,472,522,
439,135,314,713,856,640,778,173,503,681,193,886,415,724,915,121,654,378,049,
715,918,116,646,477,332,375,158,388,022,735,486,975,280,397,363,863,238,604,
141,939,830,991,699,285,993,131,868,033,272,491,000,593,968,137,914,316,990,
925,843,460,463,838,454,605,953,215,532,415,917,778,004,470,234,726,669,055,
662,675,764,140,726,785,348,915,065,596,317,546,497,197,875,352,718,034,806,
653,695,647,205,364,854,203,548,443,539,608,862,108,389,910,100,136,672,861,
380,255,017,744,980,543,284,660,726,730,975,898,108,179,944,784,295,339,187,
189,505,222,075,436,988,784,605,972,122,120,620,852,228,872,505,924,904,967,
400,745,010,361,390,984,836,474,694,468,346,849,267,716,631,448,916,354,507,
789,836,481,643,718,588,232,333,957,147,972,202,543,283,531,547,461,859,921,
687,357,775,487,688,411,321,689,882,591,040,449,522,318,478,412,048,383,856,
516,246,041,554,259,252,248,412,083,323,275,317,805,295,653,390,268,781,781,
586,722,797,923,889,684,068,032,211,017,668,967,549,860,030,379,461,535,386,
227,425,260,155,022,138,974,990,137,886,373,958,894,862,657,929,817,146,257,
428,991,902,188,661,226,065,393,580,308,828,733,918,495,536,373,381,380,938,
197,002,145,168,386,854,298,729,582,333,669,065,968,583,567,481,222,629,410,
522,283,141,189,839,850,834,628,355,495,731,982,115,026,652,101,131,122,594,
271,366,236,669,600,288,057,085,459,036,181,224,496,327,828,097,881,478,598,
248,684,230,923,071,625,944,079,577,280,806,004,786,536,843,104,393,533,410,
985,124,727,062,074,664,977,251,460,551,285,416,317,781,736,452,649,950,968,
232,096,918,444,654,597,054,958,625,104,317,751,513,961,744,351,500,193,874,
640,110,836,597,364,114,617,319,146,540,766,775,147,683,019,166,711,063,294,
169,495,385,070,910,369,023,755,422,339,217,731,793,490,508,612,494,626,012,
770,482,420,176,714,906,239,227,771,636,414,869,685,791,449,867,579,765,870,
910,438,213,920,802,294,656,039,508,551,540,006,286,673,000,230,276,446,131,
442,806,142,393,671,679,946,519,262,114,684,065,936,041,308,995,559,177,463,
473,685,727,439,144,281,110,503,822,993,578,555,184,652,039,945,616,189,329,
709,025,279,026,750,173,430,967,891,811,124,549,293,135,898,874,179,837,172,
021,772,017,711,322,992,242,047,218,909,605,866,276,753,830,220,844,242,190,
134,743,440,077,200,417,017,103,431,777,127,278,777,785,170,176,848,433,397,
960,394,537,763,412,869,018,422,841,886,788,902,238,152,250,041,270,267,133,
192,643,339,113,195,520,797,901,225,232,565,580,838,859,632,246,063,333,464,
494,381,814,660,754,631,364,490,427,129,612,273,555,153,120,377,970,829,963,
827,494,579,444,649,639,485,834,514,062,769,893,878,933,111,721,132,955,845,
709,584,109,971,479,353,965,032,859,264,952,129,844,579,640,811,851,257,847,
884,237,267,250,619,696,375,656,917,613,341,192,000,240,504,417,886,537,467,
170,375,638,091,090,993,675,652,039,616,661,403,833,037,517,971,336,491,466,
395,143,864,043,349,346,930,640,465,038,151,804,600,361,560,510,448,745,065,
497,061,608,206,806,778,929,651,722,065,186,299,400,939,480,387,091,014,205,
924,531,728,100,915,371,979,471,346,743,591,738,202,673,745,617,415,620,671,
171,473,463,138,422,528,922,124,407,681,942,449,445,226,682,405,539,381,672,
149,843,988,512,117,217,765,785,257,301,827,356,536,818,812,136,690,289,853,
918,682,718,339,685,024,607,142,571,113,831,872,700,929,922,173,762,084,995,
441,278,044,873,684,330,620,552,519,546,216,428,091,252,162,609,604,928,143,
678,987,288,946,329,355,821,020,136,419,277,015,100,095,363,603,719,010,966,
873,420,622,063,604,064,291,517,587,101,227,314,744,361,009,051,947,644,157,
058,217,421,017,622,880,479,905,977,986,068,283,820,598,499,220,335,309,650,
702,189,977,473,890,202,040,185,770,999,050,115,718,535,446,524,934,935,418,
879,107,827,392,405,174,302,416,065,501,807,533,333,447,471,989,700,732,686,
149,483,569,242,434,080,581,853,092,304,283,743,447,268,531,121,872,794,040,
605,558,460,435,870,524,264,108,734,065,418,942,106,629,698,522,391,483,319,
652,819,219,632,234,646,212,817,072,285,804,941,199,427,160,262,972,833,266,
528,161,263,612,829,605,685,233,501,667,905,459,712,821,214,953,574,987,910,
419,354,260,224,316,291,065,019,420,504,808,321,501,356,759,878,149,334,518,
905,396,828,479,194,397,794,074,584,829,126,036,415,041,587,371,663,885,423,
839,120,526,440,748,654,832,298,235,726,213,453,623,498,495,249,173,290,325,
023,727,757,237,566,305,290,707,251,663,220,201,253,834,481,687,107,095,159,
497,534,803,224,127,254,553,720,806,032,520,041,509,412,423,859,278,986,288,
950,238,385,222,366,558,680,544,814,705,853,700,034,549,216,970,184,222,307,
508,833,247,007,627,404,108,058,329,098,572,218,830,494,007,401,784,981,875,
810,944,298,055,914,332,497,863,861,894,185,458,767,643,149,698,212,934,571,
427,113,438,004,048,888,180,716,109,650,950,870,369,382,478,637,477,015,164,
187,128,293,176,829,985,119,628,850,564,445,092,065,411,731,889,483,012,277,
603,123,455,083,384,696,972,467,992,282,296,629,015,677,966,170,682,372,030,
387,416,929,864,633,649,466,400,667,528,517,752,495,162,636,762,514,879,726,
296,931,719,771,409,271,856,242,183,298,957,157,913,625,409,460,592,543,882,
584,307,761,195,465,904,286,485,628,656,107,397,878,452,565,154,229,993,887,
041,427,919,732,018,488,681,388,196,778,229,788,821,380,607,495,124,083,305,
427,080,926,018,826,717,417,200,798,769,391,472,754,155,231,011,179,643,278,
604,044,435,891,567,724,100,256,163,595,450,651,684,767,649,134,038,443,685,
323,384,481,990,005,977,819,316,243,518,334,362,453,715,039,857,340,011,539,
527,606,573,511,977,475,293,699,588,563,357,844,252,198,116,003,310,331,771,
158,724,795,156,703,708,452,002,894,294,827,416,193,566,325,562,853,156,513,
243,727,855,072,232,599,889,546,640,616,006,706,004,587,188,305,185,643,514,
029,721,084,305,439,374,151,608,114,075,512,298,847,356,815,929,991,358,061,
751,782,670,392,099,487,103,957,787,803,662,193,057,587,334,023,763,994,496,
966,449,447,250,941,067,640,004,186,163,537,796,265,003,807,727,034,394,155,
738,153,158,920,423,095,139,379,727,555,694,818,952,220,250,280,638,546,686,
585,957,185,780,757,034,020,833,963,502,142,861,890,387,762,800,202,909,043,
387,530,626,989,110,629,133,050,131,984,517,380,553,331,666,228,447,671,121,
243,169,202,868,911,764,394,511,340,206,531,753,615,333,343,975,009,458,740,
828,944,927,280,533,713,564,068,951,459,231,229,127,999,704,523,962,717,432,
498,229,661,128,604,145,202,020,171,833,953,240,827,287,077,263,897,748,130,
528,436,028,193,405,286,028,475,662,029,533,801,699,795,996,179,498,219,130,
247,380,207,821,474,896,099,057,716,596,695,240,383,700,193,021,693,963,110,
691,998,714,896,241,387,672,626,636,101,470,215,188,613,380,620,919,454,588,
259,269,138,060,065,248,187,304,996,888,603,010,791,366,781,982,939,128,897,
993,089,145,156,870,375,121,152,194,583,672,671,667,446,991,167,919,119,847,
186,759,833,863,390,930,019,577,305,523,028,041,000,725,996,478,932,196,162,
535,064,805,317,903,532,980,944,050,532,284,543,494,323,106,693,468,885,085,
100,789,664,984,532,632,137,814,524,994,007,135,365,652,773,489,322,023,212,
822,541,737,724,683,777,262,029,612,295,277,649,893,764,608,102,626,301,644,
755,656,406,875,890,528,084,945,956,191,579,550,802,728,354,183,524,298,201,
375,273,861,250,557,396,186,876,972,440,155,095,814,348,589,629,989,599,948,
072,677,706,154,342,369,049,353,183,774,052,085,733,948,559,976,602,110,927,
007,033,726,352,614,421,532,235,223,334,597,729,784,310,562,497,201,751,461,
362,498,838,365,608,239,244,701,466,441,896,475,538,251,185,193,532,065,005,
612,905,369,099,133,165,947,218,720,801,982,644,564,603,417,257,180,724,419,
377,389,715,145,128,086,817,516,335,389,757,150,816,319,497,990,047,996,273,
772,634,095,789,022,302,031,922,117,142,134,775,495,291,597,372,589,642,478,
737,749,105,027,964,120,360,905,079,287,724,961,821,802,841,459,212,955,863,
594,298,922,379,222,140,180,036,712,669,905,484,139,831,506,130,981,240,184,
254,603,424,074,311,166,263,466,661,832,545,377,052,508,854,168,662,414,966,
032,581,199,334,892,867,274,118,393,060,959,092,408,798,050,862,831,576,552,
867,724,307,816,249,377,958,104,221,298,086,163,883,534,368,728,994,783,010,
883,666,923,617,797,418,732,005,581,032,984,112,153,288,116,762,231,808,457,
495,866,553,486,787,563,881,067,202,217,482,509,046,908,474,236,964,389,459,
051,703,059,843,000,000,902,139,416,231,556,870,222,322,035,993,644,295,067,
505,922,507,747,902,610,277,072,811,419,754,415,353,341,149,760,674,667,678,
897,269,107,641,064,935,715,745,795,300,333,358,765,884,930,711,892,692,961,
159,246,890,338,897,405,210,770,062,443,745,468,940,586,874,091,443,047,948,
348,890,038,589,561,897,249,369,413,605,272,933,758,437,022,638,717,002,505,
451,708,881,530,910,518,988,398,420,357,804,251,247,093,316,543,469,366,829,
255,519,018,023,985,854,212,731,176,247,940,417,594,491,208,965,484,094,160,
989,538,595,645,848,209,304,943,035,635,312,091,904,497,299,370,785,782,045,
871,977,801,114,983,883,633,937,647,284,480,504,461,594,404,353,674,453,902,
220,654,154,793,753,859,476,486,498,145,741,483,461,537,969,143,643,565,700,
269,486,531,434,294,063,676,547,249,596,067,447,302,468,930,995,586,467,089,
777,235,914,448,932,618,118,726,387,409,818,640,278,621,185,895,738,716,415,
694,920,215,429,484,713,159,795,842,457,347,557,805,826,754,758,942,127,888,
150,413,128,162,974,472,487,725,555,955,429,655,687,077,652,525,524,311,595,
127,379,275,098,649,962,758,171,132,368,013,763,273,849,681,654,529,922,446,
821,578,766,952,298,677,764,417,612,738,406,158,580,835,659,449,027,435,099,
762,650,059,126,717,506,430,984,934,562,825,483,273,984,898,648,153,306,645,
202,413,300,322,225,695,606,232,271,071,073,502,855,969,315,060,747,411,399,
241,027,475,972,174,009,862,585,789,112,329,360,687,174,246,821,665,621,353,
926,670,167,148,096,127,586,842,614,601,535,123,229,153,229,912,097,007,097,
790,573,451,802,432,029,972,926,541,742,628,605,139,612,241,122,917,670,262,
860,556,866,176,625,128,121,727,885,185,249,099,197,277,059,549,013,470,879,
795,760,525,691,334,563,937,584,645,606,934,843,503,989,308,993,388,813,619,
666,512,715,088,217,943,482,861,408,266,911,523,426,874,776,915,280,379,059,
848,256,461,390,508,413,191,375,155,660,404,092,476,462,994,723,481,815,992,
262,764,171,919,575,994,575,011,539,273,159,032,703,064,483,136,733,173,423,
774,274,192,558,834,083,008,944,854,578,207,677,998,802,570,661,010,786,001,
325,772,390,912,742,297,544,712,774,664,230,503,759,634,637,736,917,154,185,
323,431,397,505,565,174,361,577,210,521,584,696,604,795,680,921,307,770,117,
274,175,167,175,783,371,912,119,267,517,758,844,323,316,619,500,722,765,229,
050,777,184,195,740,965,837,294,460,920,460,091,536,069,908,488,935,438,337,
886,904,964,294,104,218,586,903,914,829,299,266,159,098,427,561,155,679,445,
272,442,876,722,573,875,684,693,831,764,861,052,751,252,268,604,333,332,009,
935,178,540,318,279,693,303,452,613,742,535,684,124,762,737,236,442,590,419,
621,431,839,677,605,459,766,287,176,139,488,725,341,405,562,200,081,141,994,
060,457,988,504,016,688,526,840,545,873,290,520,009,309,249,940,820,206,399,
817,239,843,981,751,760,089,299,686,380,885,893,483,919,176,112,855,589,766,
321,374,538,736,377,545,616,560,255,902,315,522,891,217,616,469,778,927,329,
432,236,570,709,229,752,386,991,118,555,470,677,332,424,961,683,873,204,003,
255,200,749,572,322,782,242,036,195,859,498,761,056,164,910,460,555,693,174,
230,559,675,632,909,139,483,923,466,740,940,116,014,514,110,221,531,907,625,
614,546,791,133,349,389,182,750,263,802,182,393,029,931,035,090,891,950,007,
565,817,292,765,082,273,095,138,791,897,944,707,086,099,889,692,157,386,015,
784,073,414,327,901,979,570,638,480,550,185,497,507,249,837,160,688,192,373,
663,701,617,416,758,475,465,095,144,310,436,014,745,312,915,964,549,590,610,
412,266,234,952,521,681,305,864,761,438,264,655,470,055,966,224,358,839,426,
060,562,724,417,895,716,640,872,260,850,155,862,297,916,273,812,934,494,360,
443,621,447,055,053,937,311,417,044,873,417,645,682,709,542,456,546,121,169,
128,917,915,069,180,139,443,709,510,429,749,674,887,723,557,208,866,145,145,
944,924,535,156,936,168,941,290,351,854,790,287,787,098,895,208,759,197,073,
470,732,498,093,394,005,416,790,445,644,339,650,101,275,760,761,050,549,198,
897,037,959,377,862,215,424,321,243,400,150,614,554,826,271,600,842,653,846,
344,732,867,077,348,207,967,887,791,516,023,932,715,782,230,635,742,476,456,
355,484,479,714,300,532,318,966,656,278,861,099,795,190,068,590,414,780,970,
812,813,219,468,205,895,299,853,669,624,638,028,007,829,513,405,584,864,361,
745,961,753,962,479,074,401,835,069,141,194,946,262,923,946,921,018,728,798,
594,631,087,552,351,802,912,411,953,881,486,363,040,085,598,214,047,881,699,
518,591,269,651,338,257,726,054,559,780,347,682,435,349,448,322,765,722,578,
889,648,007,319,040,454,588,852,419,712,630,257,706,366,470,312,066,343,288,
450,561,702,552,721,853,924,381,975,571,692,188,844,769,600,874,140,692,347,
117,695,933,210,978,587,963,688,238,002,669,560,660,678,310,577,004,552,489,
739,230,423,947,488,346,256,759,824,527,266,487,147,435,892,616,142,030,797,
351,646,727,072,543,286,596,983,874,274,841,571,027,932,064,766,902,424,681,
275,565,114,697,820,731,158,295,559,703,494,611,827,727,179,740,974,931,871,
067,561,039,902,772,514,796,069,207,156,442,053,984,252,626,256,489,032,644,
298,166,108,317,198,733,964,310,135,894,140,818,431,497,481,795,857,167,149,
779,990,570,479,425,202,887,065,368,037,566,315,825,507,523,752,471,462,467,
411,341,662,839,309,086,447,217,650,012,554,705,281,181,837,859,631,874,994,
846,327,078,862,315,524,475,103,265,820,302,510,111,549,068,918,954,084,838,
310,259,833,616,996,900,721,271,194,822,884,897,799,962,738,665,385,015,574,
259,432,813,718,529,857,046,021,096,475,411,631,772,537,896,343,378,430,238,
059,496,202,825,699,647,017,729,282,856,009,929,226,032,727,484,188,103,540,
957,485,342,793,758,154,501,499,893,822,389,975,872,288,882,603,197,780,246,
158,888,165,063,205,023,230,291,541,970,802,314,320,668,367,060,117,489,193,
945,384,983,921,384,866,226,157,113,002,934,875,362,343,721,453,528,357,043,
760,070,007,536,394,882,010,707,794,540,171,458,764,269,924,697,487,779,457,
166,848,761,945,393,309,174,464,676,022,004,643,838,558,741,973,028,629,087,
313,158,006,921,900,979,226,145,300,395,310,600,374,761,575,313,448,342,076,
496,486,660,507,570,047,450,644,696,173,725,080,650,764,974,096,556,687,973,
272,488,892,626,813,398,208,746,156,830,546,823,169,144,734,062,271,953,186,
781,522,598,276,150,949,488,124,629,095,631,221,708,411,457,678,929,805,861,
326,224,350,669,298,737,059,667,255,522,042,758,015,316,949,386,499,877,139,
624,789,845,946,829,691,433,397,529,415,205,935,201,560,867,367,926,004,661,
137,651,632,526,986,394,167,215,717,008,608,471,840,400,355,344,138,034,634,
286,076,158,924,938,129,242,311,935,041,134,586,708,055,032,328,245,848,688,
756,993,596,116,350,670,458,196,185,845,586,550,645,109,233,673,283,039,013,
242,362,453,926,811,169,412,345,635,368,366,039,119,773,285,435,091,700,064,
151,708,751,302,560,146,669,928,387,751,480,851,297,259,344,887,560,410,689,
647,171,555,921,989,648,759,994,636,742,150,968,960,637,806,587,446,284,533,
243,649,239,839,431,654,821,932,651,109,322,033,232,577,307,993,706,832,448,
337,384,500,032,586,492,202,697,111,235,809,146,427,749,116,315,498,279,617,
331,380,505,301,105,546,320,402,066,062,926,675,964,124,448,588,525,368,972,
683,775,188,420,740,425,321,363,225,940,147,557,930,024,422,341,357,598,353,
166,429,403,781,651,432,250,344,400,566,580,265,192,748,241,831,721,278,780,
715,689,701,639,834,589,238,519,933,420,712,605,699,025,448,957,164,440,985,
553,093,238,201,456,231,033,303,316,280,044,553,003,579,277,056,928,089,438,
205,327,848,082,376,879,350,512,217,999,545,900,754,929,760,493,531,074,869,
474,053,488,880,436,849,377,598,984,297,031,361,745,987,282,733,795,042,013,
416,198,979,246,944,390,791,885,852,173,857,083,407,025,472,005,652,930,020,
643,078,571,129,483,021,729,407,317,228,199,930,987,015,063,704,382,747,558,
794,197,796,244,989,065,670,267,738,860,820,161,544,851,732,821,877,492,746,
096,450,922,826,260,153,780,320,577,906,152,437,364,411,530,861,486,813,760,
780,232,259,562,643,480,986,614,169,962,619,603,597,702,121,460,644,649,170,
920,302,440,614,754,911,715,306,175,298,461,457,165,182,799,589,505,162,755,
221,127,546,603,237,370,030,160,614,887,702,283,713,891,410,141,985,452,432,
525,221,197,315,164,271,380,297,248,889,522,838,685,911,096,165,470,699,878,
110,532,959,529,418,999,138,472,364,971,384,513,149,499,642,268,719,255,951,
947,433,267,360,006,156,264,449,040,467,445,095,253,530,338,744,383,071,148,
459,677,939,891,090,366,385,304,411,548,824,189,959,220,873,308,190,222,653,
626,864,434,506,598,140,689,107,132,996,443,851,111,576,461,430,262,142,073,
370,274,022,044,736,135,537,786,807,174,796,147,640,851,773,714,881,824,411,
514,616,447,279,270,983,690,017,672,809,505,583,180,507,592,717,421,339,584,
621,420,286,073,090,663,887,695,467,271,077,554,272,426,475,595,602,841,566,
652,203,476,549,697,046,537,151,271,580,992,316,615,455,644,975,056,972,951,
611,100,357,431,407,403,433,895,207,060,309,757,375,650,309,453,264,506,529,
672,259,459,800,647,392,550,377,995,939,439,883,025,918,848,441,663,340,638,
315,386,667,100,198,503,538,766,657,838,283,091,268,452,830,719,494,294,898,
390,844,842,443,124,442,875,560,445,240,571,995,171,061,197,540,841,008,630,
044,777,242,693,211,234,898,111,258,927,551,243,916,887,469,650,160,838,110,
845,491,455,643,007,592,651,470,487,755,408,502,864,444,711,113,349,253,846,
886,292,685,043,954,982,822,836,713,809,831,822,808,830,423,270,394,209,509,
316,851,751,159,239,299,889,812,255,022,362,095,211,470,088,024,689,311,421,
001,052,428,970,606,768,316,247,337,196,942,544,124,113,507,559,415,353,312,
535,887,061,471,959,818,232,200,033,388,093,331,689,206,056,333,298,213,225,
500,050,217,484,992,287,096,223,821,088,398,802,845,380,282,374,547,674,998,
000,438,042,195,607,544,283,707,949,207,544,262,975,122,533,501,562,480,871,
174,893,582,835,302,339,828,019,968,936,876,894,386,871,132,525,371,361,016,
689,060,647,401,722,087,388,196,088,451,644,950,090,461,323,527,724,303,720,
821,522,313,788,710,461,008,717,365,040,281,474,492,724,675,827,376,093,878,
566,362,849,452,474,851,662,641,208,283,274,797,508,083,084,937,586,263,258,
572,445,246,376,855,777,047,831,557,823,325,579,008,315,367,897,499,794,743,
965,121,697,687,457,726,796,493,348,809,401,405,343,679,814,673,604,903,321,
666,399,984,024,463,352,819,067,007,456,913,517,524,055,287,735,830,756,153,
804,224,217,399,316,990,733,599,649,717,831,710,022,434,255,015,485,102,802,
955,458,931,286,449,553,146,933,104,065,141,100,085,386,777,837,396,653,268,
959,567,675,718,171,211,566,314,672,492,382,098,690,837,397,590,310,280,442,
911,014,274,381,047,224,452,069,522,614,688,843,607,722,814,362,547,199,250,
390,404,301,202,480,584,235,665,326,636,313,517,405,956,109,658,479,121,567,
642,017,467,578,414,567,352,504,176,873,803,652,650,834,516,614,427,957,397,
051,730,544,431,726,219,189,505,438,404,641,903,681,658,819,046,517,313,360,
011,360,275,920,690,310,861,899,654,290,813,107,022,750,238,800,148,530,988,
057,706,535,929,300,223,496,481,444,546,894,915,364,262,977,619,364,071,555,
084,821,571,415,352,395,615,789,025,363,372,123,925,245,026,258,587,992,697,
609,124,780,565,862,585,087,047,148,272,080,712,934,677,173,911,357,821,991,
244,739,950,595,450,693,578,121,684,000,104,890,325,202,171,506,406,566,715,
124,815,378,559,358,778,321,457,864,030,543,664,965,628,053,245,998,235,560,
673,152,345,704,330,462,480,786,929,398,365,898,499,327,031,684,543,374,507,
661,264,670,337,108,391,611,951,568,255,150,444,337,438,989,382,404,656,475,
766,057,003,385,394,199,003,231,865,243,661,368,455,966,088,119,309,754,744,
923,683,792,529,489,884,411,637,834,824,973,627,203,426,209,806,569,902,921,
531,917,553,908,029,268,238,482,900,182,495,428,128,199,529,912,282,410,780,
534,037,529,711,086,937,949,015,715,025,169,707,277,677,980,217,186,828,964,
097,763,978,880,523,835,688,342,935,194,621,423,404,301,054,501,804,323,102,
339,904,703,346,034,072,032,913,282,185,912,426,386,926,340,658,361,435,178,
626,259,530,613,845,176,020,341,099,310,953,612,079,003,934,541,983,835,242,
891,884,868,023,565,548,242,265,024,096,307,493,538,987,278,210,116,835,257,
992,842,144,002,595,689,695,409,303,786,880,474,998,293,082,470,265,717,604,
617,352,412,290,843,661,956,254,581,632,476,657,113,794,154,730,880,825,208,
797,912,665,226,977,470,107,846,409,939,280,010,135,618,497,080,392,664,214,
942,681,286,423,022,686,460,481,888,428,572,131,245,508,590,521,861,078,844,
945,931,678,255,801,477,898,253,326,213,491,866,375,804,146,139,241,346,326,
780,821,882,218,998,595,881,942,719,619,985,998,836,372,505,720,406,804,135,
967,811,192,046,212,833,560,446,559,180,654,219,894,498,777,297,970,919,519,
494,052,237,671,748,723,444,784,700,249,340,449,660,877,930,871,888,403,249,
216,640,310,819,026,022,105,201,632,165,550,566,281,575,593,334,860,807,176,
247,814,335,659,199,281,899,895,286,588,072,791,850,074,935,531,069,288,319,
364,263,097,339,198,613,186,988,741,697,244,738,416,643,482,107,427,344,177,
753,673,794,153,181,710,208,872,132,237,372,430,424,925,572,723,070,891,608,
961,106,664,783,397,741,089,163,954,181,090,773,488,345,318,766,407,227,178,
221,008,017,707,472,504,801,334,914,493,629,409,447,252,762,842,627,805,831,
088,364,979,802,785,205,337,921,625,048,151,060,079,353,422,723,758,841,677,
694,914,375,621,236,517,833,351,748,893,204,620,354,689,977,652,736,037,370,
098,666,444,006,206,152,197,739,645,743,286,987,796,854,897,372,365,007,849,
747,607,772,073,048,974,583,182,766,840,375,340,482,523,579,096,650,652,597,
175,358,973,719,178,493,093,088,772,370,803,497,621,904,081,551,355,358,685,
325,067,514,030,708,444,698,139,105,240,261,491,701,158,534,276,775,166,977,
157,538,297,136,904,218,773,782,101,862,557,669,834,379,034,129,167,464,819,
549,848,329,628,098,225,361,465,782,173,816,281,759,816,309,627,411,200,043,
726,260,898,705,292,853,793,858,986,666,520,640,946,243,714,090,517,559,502,
056,615,707,429,891,349,834,689,017,143,458,123,652,344,236,883,150,219,028,
864,329,252,306,342,339,377,840,047,902,786,931,110,328,356,356,098,242,688,
082,706,894,518,603,473,641,832,621,604,039,466,813,476,537,928,602,560,737,
851,910,979,746,028,400,609,690,701,421,407,497,571,226,739,673,625,568,990,
198,027,300,580,872,777,591,638,637,895,616,707,238,286,020,735,266,202,831,
081,785,631,808,493,537,402,765,375,510,030,939,162,022,490,941,071,826,586,
872,781,389,747,363,449,921,670,534,993,504,599,884,751,759,407,612,888,884,
867,098,885,263,111,148,233,679,569,398,550,707,463,374,568,084,245,197,800,
463,079,777,132,910,568,464,157,106,901,706,862,183,278,959,216,915,978,350,
610,526,125,970,115,023,184,031,501,620,100,330,497,266,721,516,662,820,777,
195,860,614,297,748,801,575,856,761,756,423,958,636,645,743,608,338,855,022,
784,207,069,217,443,368,949,590,715,281,862,940,465,663,473,616,069,884,261,
388,800,756,734,094,307,706,551,479,950,592,340,086,754,230,753,206,308,431,
589,912,660,763,525,859,478,174,397,177,469,693,336,758,129,957,588,107,966,
477,257,966,425,104,613,942,800,728,182,834,971,773,568,689,193,302,204,997,
572,602,653,268,872,412,347,016,883,749,475,735,425,855,621,861,045,489,963,
951,521,256,210,877,525,426,055,234,913,737,535,829,365,776,425,844,228,727,
762,297,382,262,085,015,892,485,821,565,118,599,600,813,839,935,866,535,985,
576,165,297,144,991,059,979,067,321,448,074,816,241,927,292,228,874,591,040,
996,634,604,735,391,635,402,259,113,240,304,473,859,525,456,335,721,599,916,
215,914,336,521,991,872,926,367,237,778,491,097,117,390,437,225,896,059,990,
280,891,586,274,086,632,751,821,806,013,035,076,528,792,089,025,345,365,411,
011,258,795,168,263,711,851,522,601,621,199,947,069,809,273,557,383,917,184,
139,459,538,937,747,415,954,721,195,254,555,595,446,189,581,488,077,390,669,
675,403,889,922,344,855,632,126,127,215,103,609,712,816,757,787,092,540,280,
107,010,196,223,399,073,800,531,768,726,333,141,255,057,220,361,543,213,679,
076,855,980,973,259,149,107,796,208,006,262,477,051,382,120,883,116,426,692,
585,770,652,853,182,694,066,515,445,260,951,385,625,379,195,880,915,722,480,
571,801,787,300,612,481,182,379,779,434,545,261,859,006,946,891,747,322,832,
705,259,436,752,451,167,336,134,367,108,618,207,177,832,121,642,505,873,521,
625,532,581,942,332,331,693,211,433,130,297,824,439,740,972,274,672,344,950,
369,711,473,216,747,497,969,617,248,514,686,158,562,519,439,436,058,120,396,
058,307,582,059,463,996,930,826,023,233,846,957,935,215,812,332,270,804,030,
232,429,547,183,977,122,691,866,846,612,840,344,259,579,181,580,138,353,397,
054,048,436,733,979,107,577,949,436,933,680,290,845,302,528,977,594,576,851,
272,686,157,721,716,424,305,196,047,523,311,852,225,381,200,054,316,464,808,
876,559,397,103,920,198,411,626,520,701,235,251,368,140,137,295,149,604,098,
889,595,716,708,588,097,025,704,883,007,399,174,950,971,609,172,102,061,903,
089,034,128,600,250,808,245,165,344,962,477,156,979,006,510,669,063,980,184,
890,147,398,375,631,940,190,630,625,670,544,608,813,884,395,050,522,692,292,
778,487,803,087,526,896,450,653,701,220,401,243,126,661,456,801,796,603,439,
115,124,709,456,597,592,103,987,182,118,261,316,611,917,467,266,386,928,611,
522,181,757,944,546,045,437,983,808,478,009,410,140,045,599,843,684,927,547,
585,082,575,188,087,303,618,918,692,722,209,125,833,341,053,411,422,161,526,
061,273,218,016,942,794,718,480,768,536,155,859,010,668,300,633,004,544,662,
335,490,828,251,270,918,297,361,389,927,151,829,257,428,724,235,093,281,974,
739,329,656,430,542,156,828,131,811,878,286,934,135,673,658,761,266,918,119,
174,822,290,739,572,029,688,176,321,399,441,975,172,705,187,605,346,758,142,
041,212,605,482,526,035,999,117,098,068,540,050,894,987,359,468,562,290,454,
896,334,704,247,813,996,577,437,270,562,522,036,590,956,902,804,851,666,880,
047,248,256,383,658,947,272,341,155,785,449,604,730,154,854,226,286,637,612,
976,811,919,120,243,206,630,913,155,143,718,171,479,207,153,007,711,075,380,
171,786,924,869,347,270,028,496,985,533,416,088,407,355,717,184,268,885,124,
397,423,909,292,788,335,613,745,297,206,378,748,871,859,718,555,946,361,450,
713,522,642,837,209,809,497,525,900,843,613,382,313,212,719,381,887,689,100,
687,534,443,672,006,199,369,322,341,115,651,803,534,931,046,068,889,209,529,
644,834,781,601,868,099,565,981,110,531,683,838,589,459,052,006,541,986,990,
180,040,402,041,040,868,945,695,337,827,918,886,289,723,488,614,694,566,174,
915,231,488,934,348,197,564,192,037,934,838,923,316,935,679,324,810,534,886,
996,065,584,924,209,668,980,595,979,146,792,201,362,170,060,809,941,483,689,
489,048,840,934,394,769,089,403,712,530,557,834,055,913,272,993,374,711,126,
807,066,803,605,948,621,723,865,803,232,415,990,184,879,557,351,885,069,041,
503,110,570,684,037,211,806,118,547,170,929,064,491,127,274,947,891,763,041,
889,226,735,824,684,089,711,478,450,745,156,257,941,617,817,689,978,807,173,
980,340,298,159,914,139,757,707,610,516,272,939,646,685,492,907,160,222,229,
864,942,734,997,531,195,217,227,112,964,122,544,216,785,145,541,186,553,072,
687,646,668,089,619,466,289,196,528,358,807,047,599,623,441,684,130,927,270,
643,102,017,175,236,080,261,104,003,368,030,030,000,332,160,059,844,611,095,
636,903,122,301,683,472,203,197,601,057,485,448,611,587,326,038,529,433,502,
408,761,485,866,365,880,247,064,479,203,408,263,813,669,870,473,665,517,809,
038,894,830,330,817,630,128,018,006,824,972,265,658,397,373,637,803,658,194,
155,285,862,660,362,584,817,834,121,499,121,646,478,438,578,447,298,805,693,
737,792,562,425,882,853,396,036,855,424,426,241,617,580,972,512,103,645,098,
200,362,515,859,561,822,028,696,264,251,861,852,465,971,533,342,902,645,373,
454,428,572,691,443,642,194,330,480,565,453,565,502,533,815,889,332,016,304,
665,683,195,307,713,893,202,853,749,648,785,868,316,619,399,346,212,437,011,
688,744,765,808,950,680,340,756,212,083,026,044,726,179,114,890,432,082,300,
261,304,908,083,386,262,220,498,766,092,129,241,375,820,886,507,156,316,094,
645,949,813,901,229,895,255,214,034,284,937,662,620,938,627,379,578,907,508,
305,050,582,694,483,353,747,784,112,829,936,551,602,611,826,439,916,970,663,
917,604,294,985,208,289,978,825,186,530,404,815,553,036,956,379,119,442,220,
352,484,747,486,337,946,734,058,513,224,361,486,048,951,654,582,345,955,525,
678,398,530,667,900,618,053,704,092,131,159,285,255,286,876,031,044,491,779,
861,778,436,394,904,162,813,916,080,021,143,413,056,408,086,472,415,512,303,
495,326,046,937,265,987,842,390,183,437,094,856,287,599,863,159,075,277,877,
403,637,628,887,595,692,508,504,589,230,801,767,785,862,073,208,088,225,856,
059,061,657,889,682,659,805,911,556,871,198,504,283,080,291,673,003,353,843,
849,120,926,859,845,192,695,936,583,277,630,677,615,722,606,861,903,739,661,
843,913,200,187,954,014,037,787,274,358,016,010,861,319,844,714,657,008,187,
513,014,199,133,226,567,535,824,507,249,502,214,047,160,793,373,669,460,476,
562,470,494,080,377,298,701,573,909,658,747,926,773,900,761,173,609,238,723,
017,853,990,951,249,302,542,037,506,196,364,305,328,833,125,637,399,858,035,
065,689,359,288,833,521,839,000,547,627,820,538,108,649,292,805,496,515,550,
819,127,876,675,957,872,324,978,077,356,713,086,705,791,754,199,490,638,477,
047,348,860,327,047,456,050,903,928,257,760,681,936,441,886,661,886,597,002,
926,304,578,262,869,331,752,603,351,146,225,458,953,235,176,500,055,806,579,
734,546,618,099,644,487,593,908,704,592,186,151,020,481,413,756,294,577,522,
123,315,664,096,078,370,893,603,302,962,387,501,069,933,909,215,066,107,256,
398,599,026,415,025,661,223,705,693,610,016,226,062,818,286,323,167,856,885,
653,179,467,864,233,181,795,314,327,797,004,553,711,429,288,315,920,052,515,
223,117,878,795,207,141,245,264,046,815,455,228,931,412,323,725,267,939,774,
341,384,076,100,858,856,849,016,466,782,568,118,651,052,845,288,587,295,586,
978,728,614,303,157,504,459,581,210,921,476,212,625,359,879,960,519,640,943,
270,513,736,555,096,580,515,799,620,570,839,368,358,073,533,114,847,034,267,
969,268,519,254,871,882,848,795,915,491,842,092,737,510,348,730,146,417,295,
305,207,735,250,794,059,442,832,421,561,229,005,490,873,883,773,943,433,712,
281,174,030,143,219,512,171,663,614,542,299,847,997,044,966,320,568,964,282,
389,360,665,338,423,950,713,758,305,015,055,030,820,008,717,853,839,221,707,
756,630,425,806,796,506,493,209,575,486,472,310,185,135,109,215,659,681,016,
874,279,224,614,752,199,379,447,698,639,472,356,865,259,660,070,887,714,988,
023,672,046,605,507,938,729,629,317,240,457,654,244,235,664,540,756,729,566,
243,921,589,823,747,118,100,177,795,546,204,093,645,073,316,650,989,957,572,
667,394,988,189,807,611,452,333,427,345,915,480,522,824,836,432,876,170,855,
620,965,713,314,067,244,572,519,000,700,428,764,414,806,371,078,235,233,130,
165,699,251,996,113,607,509,537,114,000,645,738,698,652,281,008,538,651,167,
063,239,068,247,092,569,513,919,216,090,337,069,609,377,713,401,873,742,641,
144,926,280,901,320,339,054,985,787,770,743,559,824,406,886,075,145,117,115,
833,633,279,414,963,832,657,249,945,595,260,161,232,198,117,462,265,431,670,
653,036,302,155,042,709,833,500,991,539,436,629,370,638,625,684,618,604,194,
564,116,453,383,936,667,371,508,075,617,700,460,487,732,972,703,118,649,895,
752,882,020,268,226,409,424,653,879,273,338,966,032,058,979,156,494,760,769,
748,739,678,045,383,286,219,669,581,994,541,318,154,999,344,226,708,171,653,
876,624,218,859,327,333,206,279,675,012,187,890,224,565,695,797,074,022,445,
480,445,993,777,078,764,578,043,782,253,314,923,195,268,478,830,086,845,690,
124,959,052,644,092,622,583,424,426,541,700,168,921,471,718,633,052,265,697,
082,894,703,334,113,321,442,082,400,442,708,329,233,072,555,295,282,084,315,
889,821,675,816,951,181,479,054,574,156,578,230,010,331,787,848,994,735,816,
929,344,240,116,248,555,316,184,433,394,266,212,047,833,399,997,950,435,542,
575,597,492,177,360,730,076,249,985,791,204,254,907,759,451,817,426,577,118,
553,729,309,204,444,023,890,475,651,876,211,692,342,631,233,440,962,416,065,
596,832,274,938,999,118,691,445,247,793,657,003,352,030,525,343,403,700,880,
339,315,207,840,161,878,182,782,821,655,030,144,783,037,028,949,450,525,862,
363,841,787,372,596,710,001,797,503,814,722,394,032,816,969,967,583,216,489,
925,393,136,242,768,289,254,290,757,701,357,709,171,766,637,824,805,430,609,
547,354,170,383,068,983,038,037,439,796,367,388,740,267,158,240,077,124,150,
637,962,584,824,179,984,114,146,355,690,240,670,977,024,066,408,950,384,971,
451,755,282,253,216,321,447,197,346,778,030,895,583,847,541,459,673,201,119,
852,637,294,436,328,410,894,465,940,658,080,452,502,529,989,267,374,904,297,
592,835,545,210,487,957,592,623,281,449,708,605,540,943,175,383,319,154,847,
078,669,687,574,274,751,015,203,594,189,776,520,956,573,407,091,969,446,776,
297,647,601,710,851,905,394,132,847,416,031,091,719,857,072,087,835,054,155,
856,827,424,533,078,276,868,078,024,252,090,602,226,044,194,804,494,921,691,
851,613,288,268,883,308,046,441,542,932,723,469,702,912,062,448,124,470,875,
968,992,610,116,365,145,066,394,620,762,297,219,554,547,301,032,713,544,613,
432,667,656,912,408,270,965,112,382,955,467,905,191,860,039,761,234,794,670,
118,401,643,859,633,122,645,487,842,435,527,250,252,899,328,521,877,243,020,
068,110,462,502,356,728,220,580,277,780,124,607,609,561,646,057,861,203,920,
489,792,583,886,194,452,890,992,998,391,328,880,194,993,231,349,601,887,866,
044,392,887,560,803,561,698,880,554,428,068,219,661,181,048,897,658,649,093,
076,487,283,258,820,679,844,424,470,796,266,209,783,751,982,309,647,512,969,
964,075,749,179,663,028,458,179,833,575,246,613,794,637,530,695,298,795,553,
020,061,843,506,925,372,683,300,415,744,339,657,814,824,655,260,525,824,030,
305,927,231,919,115,137,047,701,315,145,671,830,991,942,783,623,106,720,828,
739,563,324,666,882,598,669,216,815,431,514,928,726,462,521,143,018,940,822,
285,121,811,778,548,249,150,200,391,657,940,653,244,288,895,481,306,943,098,
433,934,735,871,502,698,441,468,191,367,231,773,040,964,043,745,612,233,782,
881,403,401,576,048,427,105,552,082,176,353,875,350,541,850,059,552,822,493,
319,894,327,727,764,298,441,834,086,134,652,843,651,333,347,271,878,239,616,
974,250,762,906,419,201,128,250,608,949,482,164,557,009,750,523,974,033,267,
487,264,584,806,735,299,662,367,662,239,935,147,294,737,286,925,944,333,455,
676,198,743,314,075,939,667,401,625,568,077,095,353,867,031,710,162,963,549,
329,121,971,708,882,807,333,478,292,089,773,435,406,474,280,964,655,784,873,
742,301,384,921,807,320,172,638,698,731,464,154,166,537,580,360,439,849,942,
692,801,246,531,035,521,426,092,317,503,036,081,643,031,521,767,087,279,181,
246,249,222,214,209,455,510,259,169,856,809,206,642,512,448,978,947,534,585,
760,282,999,776,324,100,633,368,198,433,157,427,235,417,655,705,551,044,382,
841,140,774,461,563,098,371,676,088,372,388,288,815,072,804,084,518,148,236,
409,873,246,127,904,018,401,301,155,850,479,189,971,370,395,039,767,167,739,
705,847,550,222,817,003,437,987,764,499,489,097,740,408,849,337,791,840,251,
676,735,894,741,336,365,700,976,045,721,823,751,494,646,351,980,367,974,775,
356,954,207,325,202,115,497,540,394,330,186,396,474,516,697,983,003,109,330,
972,722,272,856,123,788,236,044,345,667,345,821,990,573,800,603,509,937,893,
323,206,163,674,252,353,978,530,635,457,293,926,140,463,888,694,593,610,538,
635,528,904,776,888,757,317,235,087,417,681,203,355,712,262,734,546,370,080,
299,974,080,463,677,327,491,169,804,776,522,298,582,902,656,424,040,283,996,
214,569,979,333,935,578,846,989,604,682,051,909,413,352,423,731,232,871,606,
047,278,585,850,433,720,970,753,921,964,653,042,435,253,391,877,316,655,616,
527,536,468,827,661,975,053,742,726,390,403,221,616,695,634,151,660,119,179,
570,588,668,224,534,730,767,788,769,285,076,041,643,628,110,045,423,569,563,
554,461,362,951,031,278,043,997,425,908,864,855,352,558,458,581,137,450,850,
303,209,057,254,922,040,626,297,778,769,328,723,896,611,077,340,763,593,523,
029,812,403,328,776,128,140,553,306,602,666,748,453,288,780,317,101,265,243,
501,729,096,589,996,124,427,688,263,234,248,574,107,899,588,931,200,578,154,
722,196,083,291,454,205,668,067,554,401,638,323,490,294,335,779,651,760,985,
207,562,502,103,662,446,972,845,101,489,841,227,092,219,590,423,642,500,682,
991,875,816,464,898,277,190,624,411,990,211,848,662,028,008,786,775,454,418,
711,306,858,832,811,719,211,822,564,594,012,292,243,335,050,578,213,634,021,
952,787,171,933,962,994,835,696,481,423,970,899,250,962,597,803,788,149,635,
094,448,516,325,010,527,764,937,819,753,608,953,424,242,493,354,055,099,540,
266,410,353,799,575,279,534,219,360,208,043,292,138,367,624,973,824,418,630,
482,254,429,734,891,767,292,921,619,342,178,333,174,070,964,261,429,843,752,
855,359,991,240,958,129,003,668,838,721,563,845,173,510,988,223,867,866,558,
880,883,304,112,835,100,069,031,729,156,136,200,309,350,803,294,309,901,063,
242,937,879,245,072,358,167,125,567,787,362,356,999,335,562,438,567,838,525,
036,585,872,291,509,904,557,521,208,461,786,670,618,990,600,153,923,668,956,
606,201,540,518,489,411,692,640,806,494,515,864,471,733,141,848,250,489,052,
208,077,632,630,306,923,914,668,593,781,579,605,572,769,446,082,925,110,631,
122,730,888,436,202,146,714,136,764,839,855,331,011,633,416,418,657,036,078,
738,430,641,346,111,422,944,301,799,692,883,210,055,329,124,756,091,305,214,
960,481,061,621,233,678,474,113,826,649,074,858,947,294,635,752,557,669,011,
116,435,029,105,845,446,542,531,703,445,868,220,852,110,196,429,780,220,546,
764,409,145,015,034,673,506,819,280,767,977,433,308,409,820,567,785,939,141,
553,431,741,793,418,066,551,470,003,722,629,956,629,070,664,266,342,469,632,
733,477,308,672,821,871,608,444,481,575,955,979,362,657,868,996,155,806,669,
490,323,018,737,441,639,570,289,965,131,328,689,694,736,318,590,384,330,838,
962,299,143,473,493,939,827,342,059,208,916,900,850,025,419,853,723,039,211,
029,594,145,268,928,617,812,670,239,150,296,941,834,565,680,047,157,817,011,
389,114,499,616,355,575,382,075,404,508,938,524,785,920,585,144,904,823,184,
555,810,618,020,710,212,864,167,987,729,587,425,316,382,358,040,210,526,962,
925,865,976,417,527,967,552,682,653,062,327,138,943,643,728,245,155,476,912,
261,722,425,153,129,140,017,906,340,186,567,443,978,472,318,466,048,392,328,
123,157,124,544,070,451,355,030,414,622,512,636,502,691,848,244,819,429,869,
912,873,321,536,011,385,781,626,498,917,990,087,264,094,806,450,904,335,702,
076,224,187,167,044,450,094,921,905,827,789,284,524,341,279,004,794,391,210,
972,130,671,098,009,681,109,630,036,669,091,673,998,174,263,839,280,689,309,
605,444,136,518,363,758,699,204,291,526,297,687,797,970,405,571,827,594,035,
642,388,651,044,158,393,609,450,530,301,523,295,632,532,418,390,137,980,886,
063,532,045,260,684,171,723,469,710,934,884,307,110,192,799,996,320,997,190,
991,669,217,424,794,342,199,126,119,309,986,172,021,237,060,255,900,707,419,
472,015,249,999,753,690,010,449,536,350,366,512,689,746,802,659,525,343,667,
128,548,531,886,588,632,896,923,453,925,752,566,348,850,604,134,016,784,850,
584,783,904,899,632,801,592,802,731,745,477,154,722,031,189,901,178,964,276,
638,817,825,624,554,836,636,753,625,728,997,955,887,744,311,986,947,493,486,
911,662,704,537,476,466,744,300,589,644,244,036,064,054,239,308,317,701,922,
377,035,944,334,404,867,633,187,839,326,056,822,174,670,178,815,321,727,707,
186,849,907,745,361,892,268,037,461,490,331,450,202,088,132,789,587,462,558,
383,655,566,885,749,047,888,840,599,502,946,246,337,307,363,377,424,099,386,
226,634,027,169,822,609,007,759,580,578,814,648,844,825,675,890,759,217,769,
108,538,846,440,697,973,770,232,833,038,964,050,167,265,758,896,041,839,485,
438,622,346,005,531,886,929,471,539,926,726,819,185,623,557,737,890,777,800,
158,182,668,154,109,331,994,955,977,202,230,109,990,598,408,303,336,088,033,
960,184,271,466,023,445,866,921,526,528,632,100,909,447,037,059,070,644,057,
895,852,249,938,030,357,037,695,055,938,082,808,727,338,391,626,088,259,610,
426,470,324,625,017,708,724,201,167,315,048,244,543,824,881,285,031,075,125,
400,209,403,363,884,911,857,061,416,124,101,452,444,265,411,343,549,150,563,
235,307,062,547,894,470,611,289,096,577,321,747,607,136,466,737,715,167,626,
742,659,643,393,140,898,126,309,379,458,232,666,356,478,476,175,527,131,360,
924,221,727,258,221,473,018,744,498,092,894,008,175,011,692,379,331,425,854,
359,225,446,292,596,104,672,392,109,808,189,337,250,944,280,680,196,342,088,
540,461,820,845,271,629,330,470,571,748,568,040,411,597,031,022,176,727,109,
082,012,788,649,149,394,986,711,442,118,110,184,601,284,065,163,919,730,025,
471,714,726,148,079,087,311,107,546,413,605,292,421,001,404,153,417,104,745,
122,409,102,767,254,485,248,477,871,462,186,457,276,475,968,571,725,040,479,
622,445,693,985,963,084,097,291,868,704,837,834,786,674,881,628,616,282,027,
387,776,040,683,216,395,165,343,687,311,243,862,523,473,084,780,298,420,778,
190,560,146,783,290,972,724,369,126,120,480,245,433,645,386,410,903,076,985,
666,017,392,235,731,942,751,180,606,274,907,122,191,396,849,628,196,381,143,
783,513,959,775,161,455,926,115,024,036,091,346,862,491,074,187,376,933,719,
783,309,279,944,793,061,976,655,364,062,607,876,809,643,485,397,501,907,181,
426,113,781,215,922,466,977,971,888,545,895,796,605,091,222,653,719,033,965,
217,405,976,423,633,986,537,287,956,681,336,214,945,384,885,236,913,703,344,
343,012,466,370,329,269,325,005,852,519,508,234,250,077,235,351,988,236,358,
815,825,209,786,636,279,308,910,808,068,452,359,948,812,609,574,132,207,429,
850,170,388,655,926,920,699,144,758,395,893,543,891,816,653,228,826,821,844,
266,847,926,515,226,016,346,351,465,535,895,543,479,546,279,196,811,787,991,
611,768,233,066,960,873,152,990,695,740,271,562,728,602,928,156,406,777,715,
629,427,896,427,719,161,794,358,949,171,425,312,129,475,409,904,495,253,833,
061,057,565,662,134,434,418,676,022,201,323,957,122,830,568,765,600,509,586,
852,496,484,608,056,041,641,147,694,670,636,469,390,761,990,583,117,666,166,
574,507,534,225,078,712,863,177,323,651,076,249,378,697,586,550,930,788,310,
388,277,941,983,102,959,668,097,500,344,866,587,199,332,049,371,914,246,260,
989,399,098,026,092,757,292,759,218,452,339,295,491,885,679,499,029,283,562,
351,667,804,731,358,135,074,589,354,615,788,074,613,198,382,432,454,585,386,
473,856,978,009,426,005,834,770,406,979,025,945,396,847,771,670,171,739,591,
364,685,726,528,063,332,017,590,728,077,291,196,420,130,136,893,616,068,747,
120,885,736,876,833,720,592,066,339,885,321,569,863,645,933,824,686,604,526,
198,697,981,333,630,297,148,062,283,518,434,840,585,860,855,682,715,672,794,
921,765,234,242,705,468,503,759,358,660,308,525,517,072,660,488,771,086,736,
862,101,066,905,464,992,841,636,953,951,110,502,206,892,263,567,719,806,309,
899,411,236,520,276,435,659,852,289,947,244,880,169,323,827,694,335,588,930,
717,514,911,177,589,642,370,900,921,801,106,251,245,397,361,382,725,870,295,
021,712,877,880,410,709,768,195,770,802,980,761,310,829,906,802,830,428,013,
246,021,442,519,173,894,437,740,085,076,830,530,647,014,511,113,896,442,639,
197,232,144,914,335,414,443,493,737,886,493,667,262,571,718,740,274,881,444,
825,288,685,954,127,038,108,510,011,659,510,127,734,607,729,294,167,915,557,
765,094,400,169,544,554,096,413,811,220,239,454,143,498,683,950,555,516,479,
248,858,860,118,923,754,135,120,114,247,165,453,010,968,096,419,298,028,405,
571,353,710,893,184,007,120,400,027,827,818,595,653,690,654,874,781,119,845,
100,796,559,957,921,317,959,854,550,658,493,084,989,829,799,083,483,899,692,
397,224,001,058,055,667,472,103,524,906,450,409,072,475,007,934,969,127,816,
053,707,877,425,547,325,562,183,188,904,932,592,615,018,377,031,144,603,886,
946,615,311,625,067,718,469,288,907,966,578,247,217,714,546,580,803,898,571,
392,088,767,684,055,089,230,748,691,086,029,289,079,150,318,464,950,081,995,
863,014,277,691,104,127,689,041,722,348,590,556,657,412,543,902,917,055,825,
433,760,361,025,601,917,605,274,608,976,868,642,414,041,697,193,640,255,182,
272,498,027,753,819,089,558,910,230,949,025,476,323,013,868,857,040,230,232,
716,975,853,430,470,697,219,720,354,866,046,418,445,842,091,489,858,569,622,
694,221,695,043,457,171,397,439,913,923,545,151,781,552,311,255,120,340,596,
528,337,465,001,316,545,748,982,400,072,546,368,239,087,517,344,859,869,261,
928,768,861,288,277,936,642,250,919,863,481,682,932,520,176,878,126,427,474,
309,777,725,327,872,273,628,822,088,199,110,675,978,142,566,366,303,863,107,
056,173,892,322,459,294,243,771,344,488,657,279,865,828,594,022,818,805,890,
004,146,190,485,015,208,998,121,070,129,217,203,984,302,429,621,282,980,425,
217,981,538,552,877,103,559,454,383,276,450,510,254,092,811,532,004,183,690,
355,092,147,271,045,980,431,072,646,033,135,396,693,663,781,174,882,174,983,
772,531,725,768,408,144,293,667,540,524,928,368,441,198,357,692,817,169,639,
675,606,281,052,235,699,595,284,494,749,958,582,865,399,411,654,592,727,276,
508,314,074,111,941,289,482,184,400,288,322,329,418,013,529,906,119,699,221,
443,513,084,469,360,060,646,418,752,562,849,938,235,149,783,154,859,660,699,
380,766,323,797,417,440,599,032,660,733,450,408,206,241,967,230,040,222,605,
045,695,049,966,975,378,627,807,968,211,536,553,704,837,329,926,007,737,899,
303,514,262,889,286,475,693,092,614,547,842,805,236,354,589,117,827,672,825,
271,178,618,850,612,449,778,276,022,923,546,732,832,234,960,567,145,898,608,
765,103,984,535,022,826,792,862,103,312,396,892,714,740,552,209,285,327,708,
651,564,670,209,163,951,503,624,485,309,626,424,033,870,397,536,054,915,513,
078,842,513,133,347,926,997,144,730,590,675,322,758,399,216,763,897,749,446,
659,472,103,652,734,577,664,140,478,728,047,350,780,081,150,479,763,217,924,
130,381,699,718,005,886,055,835,777,065,043,296,972,981,194,631,932,918,850,
775,940,324,606,964,800,069,947,093,899,231,351,479,772,801,112,265,652,927,
798,318,246,906,480,198,616,793,626,787,627,220,249,059,643,290,538,874,440,
264,002,310,813,028,818,864,456,571,206,341,606,144,504,486,712,876,933,440,
302,873,281,643,872,264,521,147,764,758,819,308,674,935,773,406,141,697,871,
284,906,088,529,420,949,416,244,754,463,013,536,302,336,983,953,831,589,651,
016,818,525,606,801,173,401,958,916,851,716,663,193,194,270,686,682,867,127,
539,074,024,039,701,726,356,813,899,600,469,180,174,950,208,145,740,515,576,
965,956,864,929,157,380,189,212,896,904,253,959,963,185,607,704,848,828,881,
603,465,637,568,757,606,640,250,967,807,412,865,317,846,299,607,771,618,687,
921,455,412,560,566,654,683,128,211,505,236,179,868,283,219,464,790,418,876,
632,194,950,406,131,495,315,313,267,467,242,778,844,776,428,011,652,852,430,
739,528,456,253,274,960,187,360,144,806,869,244,778,732,765,266,812,546,349,
482,668,102,186,383,507,825,625,023,390,071,646,740,441,175,807,049,169,150,
998,970,277,526,401,605,742,692,724,293,834,826,724,759,853,629,652,780,982,
543,367,777,184,806,091,584,835,606,583,649,983,364,394,451,781,357,821,949,
999,834,611,529,603,445,301,200,754,211,584,358,378,330,757,517,729,386,062,
051,171,221,502,338,879,888,351,253,818,924,084,216,805,267,930,721,708,593,
442,749,989,742,143,314,689,330,898,487,611,535,642,657,787,698,675,678,741,
599,638,586,949,854,776,532,619,635,421,862,132,127,461,868,859,543,079,404,
450,881,685,510,940,028,502,535,508,852,753,771,975,841,224,514,723,437,063,
261,145,244,455,905,740,185,460,734,522,508,215,221,156,117,314,740,261,077,
851,359,504,828,376,157,724,558,702,674,465,007,713,649,332,373,267,202,852,
048,041,713,912,641,535,817,623,145,197,148,518,217,580,508,795,356,952,043,
159,303,741,809,199,866,430,660,904,571,638,742,588,225,486,642,833,279,473,
485,466,516,709,361,065,266,114,251,566,635,186,709,331,270,858,727,138,631,
601,810,414,899,715,760,006,620,457,218,974,711,346,748,517,385,593,702,737,
403,203,476,461,047,811,444,650,061,679,997,318,591,577,833,504,782,424,401,
750,376,704,542,186,272,933,952,589,197,069,812,736,078,310,577,456,077,614,
958,921,979,639,708,498,144,116,473,103,083,555,233,171,917,673,410,803,385,
577,846,621,807,324,113,526,609,137,921,240,252,688,423,714,450,760,677,561,
081,934,957,957,126,233,018,019,073,773,964,924,628,526,543,942,324,038,814,
533,101,890,549,824,683,455,334,593,664,686,614,255,368,973,378,117,278,404,
281,652,093,362,527,674,964,485,840,741,164,722,400,848,640,596,229,283,747,
062,105,392,631,363,648,920,710,373,452,488,648,532,092,032,588,095,823,518,
425,894,842,762,927,240,808,713,911,191,991,158,447,856,879,311,136,953,330,
792,167,643,353,096,818,411,431,563,252,746,837,297,946,471,877,106,213,460,
277,549,481,968,035,533,418,101,566,584,543,958,689,693,121,678,893,786,874,
013,048,792,661,352,979,213,020,526,620,902,102,397,092,371,794,832,835,031,
147,348,284,119,678,030,412,364,447,494,435,607,817,265,905,508,760,504,407,
787,081,852,999,607,369,249,554,102,563,285,764,371,321,244,544,683,365,187,
677,509,180,719,011,517,373,782,428,114,887,136,799,360,555,214,387,526,375,
145,659,367,624,667,194,350,818,076,070,200,477,572,182,888,794,493,946,486,
890,336,014,479,158,235,271,833,902,998,690,463,323,353,828,985,879,315,211,
670,988,550,640,168,623,148,603,345,126,789,832,957,787,816,016,373,158,238,
743,475,028,998,541,865,889,304,004,914,212,029,551,145,380,261,646,521,313,
239,279,730,396,587,447,377,746,567,549,837,504,983,997,323,233,497,386,317,
976,919,198,869,257,251,875,550,374,583,257,884,929,668,510,097,960,929,733,
654,678,845,124,845,286,696,168,133,790,244,332,519,420,280,529,513,991,864,
037,084,225,594,115,037,355,547,529,695,356,865,681,011,420,799,801,040,691,
835,207,330,577,108,262,274,053,234,873,532,204,526,573,655,967,199,825,209,
988,805,154,178,607,133,477,981,219,819,668,385,532,308,465,210,796,596,125,
484,894,422,707,359,648,782,744,818,916,955,351,674,295,521,753,547,638,016,
469,596,382,613,116,964,734,440,307,265,688,994,071,540,748,010,613,381,604,
762,353,818,729,874,547,474,295,926,252,220,137,150,601,262,801,513,132,902,
910,365,569,818,261,170,490,456,036,889,924,361,878,964,172,668,503,249,192,
405,550,183,070,743,653,760,454,610,021,922,263,875,209,820,587,902,592,408,
119,823,202,686,696,675,619,253,608,753,416,501,389,296,782,678,579,827,928,
136,672,709,409,592,561,686,233,475,328,287,807,438,751,414,354,698,832,321,
918,252,016,717,637,120,151,254,430,808,784,023,348,570,008,645,677,711,778,
242,900,410,200,923,971,457,641,820,008,947,286,599,795,774,632,986,866,615,
638,828,168,513,125,919,385,364,599,496,521,912,922,350,803,816,297,142,518,
889,658,729,967,171,142,335,850,979,888,358,626,057,426,678,015,320,002,012,
788,158,350,869,127,635,869,846,141,359,062,876,995,562,299,119,673,962,457,
161,566,378,281,290,592,866,873,287,820,828,970,777,647,341,364,582,875,256,
448,989,634,026,041,889,695,513,336,345,090,399,408,913,230,654,192,647,287,
748,054,337,777,765,682,691,040,809,830,288,609,247,126,604,227,209,054,589,
427,768,762,543,097,823,919,259,323,474,327,558,845,727,885,615,660,339,220,
261,791,291,772,338,031,982,112,567,794,243,364,451,310,685,084,496,367,557,
388,630,805,896,673,736,400,982,565,033,571,609,873,236,085,712,824,950,193,
982,752,654,201,533,337,304,535,905,066,975,915,128,400,928,718,905,133,368,
422,852,143,235,066,409,346,651,363,166,739,204,163,795,369,604,688,456,452,
549,945,078,274,031,172,209,512,839,595,815,270,589,063,024,477,315,482,496,
162,323,704,923,669,454,187,978,113,910,405,277,325,911,411,400,282,825,829,
603,761,343,273,956,058,764,313,272,367,400,234,703,670,046,081,936,039,588,
856,722,193,382,631,810,300,219,736,704,622,030,612,837,795,155,503,929,083,
784,463,978,573,299,364,758,328,601,373,887,060,622,031,049,948,408,368,540,
484,440,621,437,021,946,632,631,719,922,789,203,618,591,678,822,454,232,689,
806,770,334,764,685,986,560,719,066,110,285,296,327,361,959,954,013,547,042,
375,841,555,640,380,327,149,131,600,904,663,056,889,889,417,213,445,139,247,
799,214,979,854,029,146,808,161,515,867,193,199,741,948,660,632,032,069,081,
627,042,990,310,957,673,073,105,147,169,967,515,367,091,392,435,068,343,771,
554,747,409,027,133,364,231,157,542,462,254,329,250,408,617,573,484,467,629,
889,209,893,088,140,000,798,441,477,446,697,943,466,223,692,517,127,615,591,
769,788,018,438,773,518,218,266,230,617,518,371,073,793,748,888,291,254,243,
475,511,024,727,270,457,941,477,094,219,637,234,644,314,179,476,541,792,924,
621,232,322,182,937,309,117,989,836,805,254,283,129,904,485,124,523,504,426,
285,836,765,568,442,660,795,907,045,549,221,770,488,394,350,031,212,610,297,
491,485,546,572,017,555,430,402,186,746,280,306,574,450,114,638,456,873,584,
719,815,855,016,355,361,919,726,906,040,747,483,525,920,774,884,556,283,462,
822,400,940,318,706,727,885,876,442,728,820,258,065,929,582,875,983,935,070,
332,892,329,378,120,150,519,498,943,743,447,076,334,071,301,164,629,486,278,
287,863,630,872,043,323,012,100,632,463,472,700,718,948,216,786,151,735,612,
368,879,591,139,045,292,754,617,637,309,002,197,327,807,371,273,980,723,553,
461,290,762,830,415,278,088,327,412,623,806,525,156,520,075,318,564,653,162,
795,539,405,297,888,399,450,382,484,271,900,335,905,891,713,637,884,902,302,
527,176,101,922,292,197,353,127,491,493,419,165,597,771,210,904,278,363,640,
680,227,939,004,467,442,498,113,730,450,796,483,718,571,448,440,841,733,529,
519,430,203,489,375,221,591,567,369,868,204,447,112,534,159,690,265,545,181,
384,332,729,179,173,217,123,532,317,707,097,527,220,055,199,963,299,685,727,
063,328,325,150,922,077,159,033,950,209,378,385,930,866,967,472,475,628,532,
146,006,011,883,311,312,658,549,417,561,421,787,511,501,084,950,317,849,434,
595,486,973,465,662,630,365,977,539,560,909,644,961,208,756,173,986,681,590,
026,016,953,236,067,859,560,438,958,569,940,232,304,114,050,149,472,036,560,
847,962,688,997,784,890,548,682,089,498,481,382,198,947,974,906,924,240,082,
603,808,252,475,236,638,596,426,829,694,682,205,405,756,701,442,961,134,152,
385,135,554,468,956,488,362,392,082,631,174,712,665,420,163,077,254,389,972,
199,708,911,525,070,535,193,443,814,451,341,300,417,860,698,416,934,664,707,
431,788,358,297,915,768,646,707,555,496,411,080,541,551,998,810,617,933,425,
784,383,103,908,988,103,262,190,870,905,626,635,477,092,620,955,131,671,708,
339,152,588,842,672,553,481,413,803,998,919,637,661,863,761,431,873,282,367,
878,254,780,550,666,670,462,362,686,085,684,915,168,372,482,658,084,988,839,
642,663,765,480,647,463,615,241,787,782,485,969,521,878,907,003,563,628,058,
776,379,797,352,633,896,875,690,980,107,720,906,005,365,502,662,446,232,664,
641,366,161,783,685,527,672,221,388,831,457,376,572,805,916,313,462,575,219,
828,516,590,849,473,198,217,982,034,939,914,496,919,121,527,008,156,858,731,
764,995,040,194,054,160,638,910,068,128,671,398,846,490,297,752,789,394,463,
858,819,289,710,767,607,818,303,220,849,931,147,903,163,802,115,050,337,498,
071,209,686,485,284,354,204,968,859,099,021,605,709,478,454,377,655,850,311,
809,500,163,853,329,621,658,012,887,888,236,952,409,081,815,151,839,113,285,
257,269,534,252,491,445,661,772,261,162,925,516,974,405,270,063,294,087,832,
194,497,612,975,306,790,988,669,805,217,734,339,152,223,786,378,796,177,638,
336,729,219,643,235,312,801,998,949,726,503,537,671,890,650,784,740,184,168,
632,909,182,344,152,225,653,535,717,813,476,814,681,272,955,726,392,751,186,
606,551,997,860,313,357,369,704,292,198,706,141,380,216,967,960,039,914,299,
846,084,440,924,422,656,188,537,272,843,347,597,508,542,271,975,640,832,995,
080,478,291,151,231,940,927,901,074,658,897,679,421,370,252,343,142,829,641,
442,508,708,445,321,150,077,879,885,464,799,582,782,834,970,443,032,971,757,
062,696,654,116,970,423,281,020,596,604,635,652,329,035,176,840,916,667,457,
492,423,856,132,098,007,478,818,182,408,687,991,637,410,265,524,922,798,784,
782,584,758,362,570,298,344,092,065,667,516,214,890,800,781,013,888,238,279,
480,537,753,397,800,092,422,296,122,835,053,234,688,782,756,833,727,221,728,
457,849,623,135,149,698,718,340,072,034,939,208,535,672,719,439,831,315,440,
332,301,742,442,287,866,016,943,975,584,086,321,343,732,564,711,490,210,065,
559,551,140,103,753,355,017,171,753,958,618,449,115,958,229,153,537,776,035,
893,529,331,255,266,079,830,154,249,931,255,034,501,027,616,939,481,369,244,
595,392,511,724,289,905,241,457,042,023,720,365,026,350,470,011,766,502,963,
598,535,447,162,080,026,764,000,734,862,579,361,995,509,598,174,214,645,254,
243,507,338,231,596,460,781,129,016,043,586,349,539,229,583,992,792,021,776,
688,633,835,791,879,959,904,674,309,621,053,497,318,458,336,680,831,875,196,
232,680,950,040,541,848,318,963,479,960,341,787,109,705,791,640,834,765,217,
931,042,165,650,638,488,149,490,146,497,071,136,075,321,660,922,865,683,406,
436,556,378,922,887,019,818,238,309,473,579,492,259,666,062,902,962,066,229,
394,957,595,349,732,277,146,143,618,195,640,072,464,606,346,898,729,183,304,
476,482,739,852,544,063,722,633,997,841,879,157,098,160,548,240,833,215,009,
153,361,122,292,409,911,170,003,055,980,023,554,353,245,782,397,480,990,835,
533,245,990,340,922,217,940,391,057,096,867,904,621,256,863,326,646,525,640,
537,131,202,015,815,491,533,182,014,424,643,569,807,027,214,173,054,826,362,
262,310,693,159,074,220,918,575,464,474,988,853,308,936,761,530,747,323,338,
228,882,977,414,192,237,043,549,219,121,190,762,472,550,877,606,023,768,290,
060,669,145,639,580,991,705,349,251,815,763,612,434,999,546,153,765,007,432,
187,273,580,866,805,103,351,555,096,866,115,338,149,015,677,574,153,582,789,
726,273,378,725,849,087,951,987,376,849,344,660,566,770,020,953,488,086,525,
370,727,580,455,033,261,182,880,393,171,112,088,645,662,000,778,817,006,590,
441,603,145,037,985,433,249,405,386,659,132,911,757,306,844,758,941,005,498,
548,012,614,987,720,613,540,953,702,896,637,839,835,587,141,692,520,008,853,
153,147,017,205,446,543,170,266,888,876,215,120,613,122,636,755,388,511,969,
684,054,182,385,910,089,440,332,570,631,633,237,807,641,990,457,692,398,761,
331,783,207,267,785,267,128,036,639,545,699,450,570,459,133,790,893,355,136,
145,309,785,044,135,620,652,710,143,466,851,408,063,922,381,118,390,921,130,
292,885,314,174,215,209,283,319,128,906,645,117,045,972,120,255,789,398,983,
701,942,290,534,682,407,202,392,878,043,776,100,431,970,348,727,687,653,851,
282,968,075,261,837,996,058,710,728,742,439,993,137,867,405,663,905,808,765,
267,048,722,619,350,889,227,821,525,058,322,794,506,993,291,139,103,670,782,
966,965,756,567,802,599,677,497,621,430,369,465,091,355,050,452,006,265,792,
836,038,944,039,961,352,022,232,148,199,645,620,720,287,856,843,843,798,592,
060,858,240,073,471,628,855,166,249,707,253,489,149,655,217,291,283,342,199,
629,579,996,950,226,907,865,433,963,808,695,050,107,494,099,046,852,449,076,
327,521,118,536,525,926,582,222,370,681,499,033,611,839,649,808,711,593,360,
847,856,342,815,010,190,397,635,937,936,074,070,102,163,524,860,212,075,235,
011,813,418,577,256,711,487,548,646,867,422,777,706,015,741,276,887,669,598,
032,962,415,539,416,497,499,076,979,763,695,594,743,898,185,842,367,049,134,
202,126,048,018,930,289,796,303,854,409,211,018,919,770,533,221,358,273,774,
040,777,701,977,855,883,719,637,910,577,579,869,714,669,454,567,900,053,298,
116,687,382,926,033,366,473,413,917,235,916,354,897,252,581,535,382,901,259,
140,082,754,722,151,321,777,229,497,692,806,013,365,336,320,661,483,932,928,
858,187,042,902,888,214,597,234,268,921,038,877,548,698,904,213,297,806,901,
797,742,450,653,296,966,504,794,529,138,839,229,399,766,925,421,709,777,243,
720,113,786,276,184,579,042,848,488,144,974,048,593,573,182,442,461,914,233,
879,306,573,735,519,168,514,374,638,421,007,274,021,054,711,000,011,488,757,
775,144,210,362,782,241,918,544,156,641,755,453,851,354,703,901,498,998,663,
164,491,063,126,828,307,529,883,943,142,753,432,251,644,749,242,579,874,504,
670,482,460,106,490,637,343,445,824,749,409,994,831,976,099,257,903,028,547,
898,400,465,236,330,547,371,681,524,539,861,273,199,781,261,610,631,980,938,
819,495,129,169,029,498,279,909,322,437,087,816,620,112,134,139,881,785,471,
355,474,222,520,793,118,132,459,169,381,715,929,960,422,577,425,493,761,482,
208,430,146,312,913,309,673,613,258,238,385,749,789,531,841,699,177,984,152,
482,041,896,555,581,446,364,125,958,351,259,163,419,533,055,713,122,011,516,
624,508,701,911,047,252,301,425,372,676,679,146,961,044,684,109,581,288,145,
346,628,762,540,196,287,975,701,678,029,096,717,728,559,559,932,679,505,689,
356,514,130,433,368,096,220,619,897,049,052,689,442,205,241,770,194,985,639,
452,567,599,294,353,285,420,078,086,040,210,151,984,997,975,338,374,292,066,
673,888,390,016,191,301,498,453,982,084,165,811,959,583,608,446,942,293,650,
985,417,510,684,641,754,530,550,047,960,943,165,432,050,504,126,472,702,310,
341,458,804,510,282,264,610,854,101,226,019,527,322,493,173,830,927,364,432,
155,721,435,099,009,379,291,738,861,138,727,625,851,409,833,063,640,696,347,
359,172,774,944,743,490,128,800,261,180,342,846,909,212,426,042,565,380,022,
391,997,010,571,079,452,019,713,424,999,861,643,202,095,910,074,844,027,652,
215,459,576,192,685,152,783,964,443,080,475,005,721,560,040,797,688,489,855,
386,642,981,020,988,275,422,548,586,651,126,698,216,645,327,521,743,571,594,
269,939,549,850,935,144,588,399,865,108,239,767,999,265,730,390,193,761,354,
637,578,502,399,164,906,768,997,782,720,559,926,305,633,182,760,560,116,854,
936,008,912,835,805,762,569,919,119,666,390,918,380,063,912,794,480,179,222,
627,189,966,015,104,755,702,712,535,216,001,175,425,378,312,417,271,848,785,
476,100,758,435,275,691,457,533,357,692,383,380,208,737,131,249,581,840,020,
667,383,023,095,882,710,033,461,466,521,482,685,793,294,128,007,026,514,842,
312,820,792,793,489,190,875,098,874,024,664,175,168,284,225,519,796,490,110,
564,247,435,032,158,973,096,164,996,908,387,865,917,789,063,969,258,145,829,
788,662,374,058,843,731,649,121,870,836,134,343,831,351,459,717,955,198,706,
245,563,141,887,410,105,542,235,297,616,797,825,653,529,327,801,659,252,815,
921,724,091,168,228,219,033,972,504,243,359,700,346,120,146,837,912,122,286,
516,256,023,213,796,085,793,021,173,918,786,712,638,076,285,586,233,928,671,
855,544,196,742,228,667,286,850,262,576,678,036,251,027,898,505,176,526,935,
557,559,543,505,174,405,831,667,429,558,670,275,801,378,518,101,857,479,232,
788,486,875,583,913,477,795,907,518,388,671,847,514,217,970,174,159,164,372,
208,851,814,071,916,656,819,735,072,783,760,147,847,700,695,850,753,536,737,
301,030,547,382,909,960,888,444,606,251,674,737,471,568,319,030,184,865,538,
935,087,474,529,640,626,894,335,347,598,328,621,016,561,656,474,786,844,546,
497,787,380,940,534,614,713,742,854,811,531,361,086,797,281,453,359,883,968,
091,958,584,137,313,736,779,101,099,011,081,609,190,957,600,817,919,037,900,
447,497,249,573,903,945,781,264,918,376,223,695,307,740,370,701,175,511,496,
228,920,275,103,785,712,303,370,838,321,625,438,946,207,234,598,120,771,307,
155,498,860,372,421,448,502,330,722,884,535,877,982,534,900,484,628,666,540,
590,191,086,710,417,283,162,806,403,550,016,900,858,163,742,150,951,789,381,
433,200,000,005,401,056,718,704,212,780,695,567,253,018,335,669,564,490,410,
090,490,914,391,649,038,360,287,526,067,369,966,604,686,627,173,940,926,155,
536,941,652,556,574,112,020,936,644,045,979,289,313,318,292,886,210,791,382,
854,284,032,133,732,074,370,446,127,675,277,862,671,074,457,819,012,706,322,
363,172,787,359,714,782,495,610,929,758,338,790,744,897,062,809,087,904,966,
413,104,865,524,204,681,874,755,970,804,675,296,019,057,667,363,613,549,610,
473,907,011,661,210,551,291,242,943,278,474,296,058,712,625,702,616,859,748,
422,857,785,327,777,271,254,219,869,751,878,909,793,971,448,144,105,791,760,
170,570,654,974,646,730,610,717,961,028,083,672,529,081,296,028,078,374,968,
790,346,417,237,373,697,943,382,897,998,838,860,135,013,561,701,249,611,479,
927,261,279,284,464,499,444,777,685,253,004,610,472,844,833,972,020,823,681,
944,667,819,609,624,593,472,821,452,428,563,325,836,030,513,644,349,694,961,
678,797,741,284,196,247,157,377,180,105,006,093,727,803,047,980,487,392,354,
757,601,033,349,892,867,376,649,359,447,959,543,634,621,840,063,923,761,340,
844,747,604,201,535,434,286,796,895,395,630,670,148,457,313,753,321,000,373,
846,799,130,060,469,273,604,374,023,605,015,768,292,922,401,908,914,114,778,
565,203,593,894,354,377,307,397,947,124,589,082,210,431,278,603,649,267,988,
432,569,674,485,025,756,946,388,702,687,126,126,096,887,734,458,388,380,720,
910,007,962,014,579,547,876,899,514,041,908,026,023,272,010,047,574,746,524,
089,756,702,122,408,585,495,522,190,066,713,070,603,066,316,414,241,294,766,
154,452,908,449,734,461,408,720,804,331,497,977,965,839,294,262,865,330,190,
427,919,978,583,621,340,051,519,585,687,272,885,015,391,578,967,551,182,976,
485,008,786,175,588,921,133,961,806,215,564,389,799,321,742,197,985,352,616,
727,516,415,187,099,896,113,154,327,579,545,950,633,213,417,695,791,322,417,
756,407,894,929,458,296,434,619,735,602,201,071,768,110,236,930,210,783,919,
201,851,800,737,675,531,931,347,446,796,042,573,042,607,791,964,511,832,527,
466,972,517,333,943,304,592,810,627,427,046,883,386,744,415,062,221,017,345,
321,052,622,658,123,833,128,117,286,493,479,845,607,617,087,021,478,436,577,
505,931,934,752,386,435,201,643,079,311,310,640,203,493,364,602,041,115,623,
001,971,936,627,304,415,045,858,850,940,137,435,550,086,344,048,899,498,897,
406,608,732,171,417,413,091,412,945,578,832,089,443,366,873,057,198,611,934,
631,801,855,168,104,290,707,604,379,405,015,349,618,682,616,222,348,551,455,
390,148,461,052,092,707,854,588,674,971,189,908,556,289,646,544,636,360,962,
603,871,771,898,212,934,083,434,747,652,076,239,645,033,465,035,143,717,252,
435,031,442,339,368,611,695,026,356,037,767,179,013,229,155,043,527,131,303,
419,023,873,047,004,706,917,145,575,712,892,626,709,357,255,257,917,133,396,
816,472,020,444,283,174,616,149,668,496,140,622,787,449,249,288,817,222,773,
790,213,443,687,375,090,367,894,393,795,355,803,817,212,466,035,715,767,653,
138,316,284,772,587,909,885,394,579,804,726,683,769,471,625,351,861,135,543,
129,720,142,030,285,625,150,905,513,507,706,638,557,312,864,525,503,962,933,
109,028,200,189,817,310,521,003,937,606,704,878,882,192,492,425,593,824,409,
018,192,619,937,787,471,955,330,706,525,637,147,162,400,490,462,370,464,064,
971,131,445,944,319,050,321,138,921,327,828,274,832,279,483,413,141,464,959,
877,806,361,616,909,559,033,131,874,908,776,675,110,270,852,292,744,333,184,
414,639,418,332,252,748,576,765,180,117,686,521,955,533,833,951,277,061,287,
829,763,194,677,106,004,913,104,622,905,561,093,088,172,335,672,317,374,630,
758,702,752,619,684,194,182,087,994,638,216,612,457,143,460,396,907,594,999,
658,254,022,424,208,704,767,357,634,416,752,715,897,862,553,522,913,559,726,
735,390,648,124,806,039,622,289,065,403,896,084,390,334,032,236,510,472,656,
006,543,301,339,321,111,330,855,059,902,059,874,569,579,976,789,938,945,966,
237,188,888,596,453,614,333,820,728,033,417,809,297,855,259,231,142,389,444,
160,266,186,198,329,813,261,538,712,908,416,884,779,464,895,837,937,646,749,
400,006,286,303,416,397,592,068,596,084,104,059,749,834,208,285,240,369,222,
270,286,940,934,432,702,554,867,641,929,243,190,519,332,734,949,566,697,618,
811,943,500,747,962,738,820,722,284,596,198,136,184,263,932,016,818,267,302,
638,276,984,143,204,222,091,990,220,859,296,928,623,256,928,309,191,979,333,
571,089,732,538,998,550,487,785,428,370,882,615,713,403,281,023,869,295,787,
114,657,417,139,005,230,850,957,180,700,924,533,595,711,727,985,651,966,250,
067,467,786,804,421,809,705,513,517,618,037,704,912,516,079,689,839,093,811,
019,101,905,456,676,133,971,902,434,201,878,112,097,179,898,915,576,396,700,
607,928,918,122,288,524,194,951,384,615,299,387,923,902,200,191,282,800,400,
992,233,582,902,652,619,816,658,287,885,989,834,988,523,588,012,296,991,931,
085,051,148,559,391,968,489,271,349,382,352,553,201,743,899,043,512,429,247,
709,925,024,274,318,355,894,446,689,349,967,268,394,460,639,125,521,165,925,
790,720,914,218,036,024,633,456,541,576,153,595,748,310,874,930,644,924,176,
593,217,845,271,264,136,517,713,233,236,846,449,010,666,476,153,350,731,534,
367,663,823,055,639,810,082,031,338,189,304,384,838,672,147,817,608,348,893,
484,153,390,202,367,313,114,734,580,636,585,745,684,192,816,087,280,229,658,
415,470,465,272,972,715,570,572,060,225,740,075,571,451,362,109,865,160,075,
367,860,416,032,359,652,453,621,452,332,660,639,455,718,173,297,979,815,701,
704,317,162,929,429,093,062,960,892,016,890,311,065,335,059,418,262,188,638,
202,889,550,598,971,965,499,886,985,489,071,124,719,420,548,027,467,861,657,
411,628,904,258,295,574,079,761,859,138,913,741,266,069,762,881,761,397,595,
120,347,243,368,596,090,938,534,442,267,695,645,991,251,754,133,243,674,945,
075,310,115,343,137,929,574,571,453,426,531,099,440,199,590,996,487,531,526,
943,500,297,166,124,027,511,149,338,431,947,798,256,921,551,235,699,948,744,
275,359,908,671,151,927,693,811,549,431,841,800,365,193,093,073,901,467,476,
672,622,541,244,684,131,019,765,586,906,386,983,107,795,287,702,889,128,619,
173,028,587,982,712,891,176,412,737,860,789,954,124,228,642,883,242,387,321,
842,573,110,437,401,494,073,854,794,321,110,713,219,946,501,305,534,549,541,
813,553,268,382,065,407,822,453,997,556,849,269,719,884,767,071,923,959,132,
703,329,258,251,943,602,160,910,499,100,807,681,991,985,181,198,633,545,376,
892,469,847,003,504,373,618,589,142,326,504,453,182,995,416,326,791,504,500,
744,165,666,067,435,983,641,792,562,311,341,397,798,533,627,951,360,575,812,
772,202,625,921,641,250,503,284,430,725,108,767,977,419,476,307,024,430,568,
834,087,879,016,982,850,946,487,947,190,918,986,543,392,166,296,971,069,235,
765,997,469,078,441,715,813,434,089,798,620,940,449,392,100,952,594,982,232,
741,610,985,033,224,782,984,526,253,316,900,894,169,311,809,861,584,227,903,
065,669,099,989,075,939,981,280,684,683,978,007,668,458,660,034,462,783,950,
435,827,483,865,232,642,449,422,206,514,627,270,795,614,186,603,045,911,116,
671,245,771,918,970,422,711,423,504,438,575,321,067,759,615,026,687,361,946,
155,016,063,056,033,437,152,271,220,008,293,833,753,745,187,069,980,938,757,
935,072,954,583,856,761,722,508,167,038,959,406,836,144,235,652,498,005,895,
953,042,310,180,220,247,256,290,075,558,637,011,687,867,099,178,026,262,563,
793,647,882,022,940,848,543,907,275,725,472,599,435,680,271,489,996,222,584,
358,646,373,077,859,942,484,191,165,277,058,946,756,962,336,715,928,431,578,
952,689,279,926,744,586,740,062,061,790,018,389,057,184,157,825,486,297,080,
908,468,996,562,639,815,815,027,736,535,246,579,059,261,296,380,334,087,553,
410,110,078,556,839,834,092,757,172,765,129,553,430,557,886,320,186,315,513,
254,556,876,006,275,396,341,046,068,616,795,557,461,755,910,464,646,040,000,
170,679,497,229,748,379,854,300,919,532,041,966,512,081,501,797,340,594,175,
266,651,314,804,897,792,490,979,848,592,143,929,031,637,805,193,297,271,404,
427,660,601,537,846,747,381,007,362,617,867,041,493,472,085,607,506,601,502,
863,431,464,638,713,892,175,396,000,906,784,173,710,674,450,280,103,914,151,
537,808,950,244,783,969,318,202,571,650,732,199,431,230,821,769,214,968,075,
260,029,086,866,778,394,509,411,433,903,875,506,295,576,207,682,896,076,958,
542,591,310,232,265,610,518,197,073,707,866,038,703,813,343,306,422,102,791,
402,892,046,177,980,110,097,036,320,391,800,147,394,273,483,908,194,075,848,
380,693,240,887,778,762,889,132,861,904,360,017,463,713,040,444,326,516,552,
071,506,791,597,744,426,294,962,897,538,474,580,273,387,654,941,749,098,300,
369,932,422,057,347,431,809,412,946,956,475,646,615,817,984,819,931,410,908,
029,127,998,694,735,893,589,373,450,576,094,587,045,873,050,236,785,484,295,
943,892,613,677,235,438,831,729,982,958,841,068,572,537,679,045,459,180,675,
947,653,500,723,778,629,244,432,533,689,340,535,180,233,309,320,743,810,215,
624,837,692,845,406,263,093,747,104,812,330,969,181,803,587,100,209,148,822,
699,626,884,454,016,350,649,628,878,490,855,555,105,363,147,124,822,158,329,
471,559,845,995,997,629,669,919,995,212,595,016,180,408,971,941,436,832,048,
767,553,099,736,172,364,071,060,958,139,341,599,573,718,384,544,847,005,449,
861,940,575,993,068,696,416,145,924,033,977,018,772,907,461,693,086,309,479,
926,076,228,041,221,598,726,500,079,631,102,425,333,131,871,532,994,185,902,
905,280,796,674,383,723,770,787,463,969,163,588,484,855,166,945,019,378,485,
096,034,528,464,048,321,591,473,665,593,008,925,856,136,844,209,274,766,424,
997,349,724,089,051,746,511,824,611,272,769,379,032,038,296,246,002,396,232,
878,649,923,794,449,186,665,942,235,723,032,583,893,232,524,089,594,081,617,
693,024,400,611,844,212,613,208,765,945,809,814,075,537,009,372,296,652,922,
162,675,833,718,020,213,225,723,536,675,447,867,175,884,108,643,708,968,735,
734,728,692,817,631,385,110,397,068,562,271,225,814,812,524,678,985,836,246,
047,466,235,050,854,566,612,546,139,420,242,509,031,964,011,368,687,274,968,
875,345,498,530,726,561,355,268,451,466,764,347,503,713,396,875,052,083,735,
209,267,764,242,132,638,638,950,675,912,227,243,287,041,119,326,530,874,575,
156,030,614,365,385,801,352,377,403,776,237,830,728,494,256,478,500,838,986,
479,250,685,386,257,176,081,310,048,741,176,008,697,344,829,392,490,633,079,
613,873,954,386,803,327,353,789,232,445,990,613,468,208,516,281,911,827,680,
507,092,727,553,015,271,483,941,035,050,067,884,234,140,770,729,434,098,850,
958,905,005,840,677,958,272,714,402,889,446,624,569,420,474,732,321,610,423,
247,056,975,812,466,925,347,574,937,771,766,326,490,950,351,489,007,998,727,
499,844,285,368,671,827,225,792,597,544,888,095,460,030,299,851,193,946,365,
198,876,945,104,701,127,862,701,888,750,991,309,244,606,754,735,473,762,237,
971,043,152,768,175,600,535,334,453,948,241,209,324,488,108,287,536,341,859,
603,838,112,431,893,165,001,366,802,852,664,166,458,166,747,059,722,491,120,
657,718,337,746,620,499,963,856,126,830,418,430,344,452,562,408,558,287,238,
387,197,591,346,599,233,177,136,615,591,434,488,140,885,804,691,279,697,087,
240,661,767,114,897,030,275,883,281,952,989,355,309,672,553,892,814,991,645,
323,484,505,235,633,438,593,780,900,900,625,498,291,823,600,428,704,537,650,
409,638,135,645,760,696,102,446,065,786,983,488,629,682,866,719,617,477,655,
618,418,674,322,444,177,182,143,387,466,563,734,831,483,443,173,310,986,493,
728,203,148,215,322,580,776,968,707,761,357,352,815,393,151,137,301,963,437,
896,884,943,926,986,906,168,925,048,319,748,162,933,499,488,906,180,667,820,
680,806,908,102,865,836,361,951,625,468,518,480,376,844,442,297,786,948,552,
171,364,793,920,897,255,334,420,778,817,170,771,774,097,517,268,825,358,318,
278,611,781,700,939,999,841,868,905,646,620,092,210,524,163,492,821,716,783,
090,000,468,322,216,469,049,933,385,485,222,419,516,315,975,142,245,130,667,
951,217,706,449,373,306,793,480,561,287,498,134,602,148,577,663,110,862,701,
574,992,560,675,904,595,089,585,786,799,501,904,439,727,725,756,511,957,072,
007,153,131,229,514,888,282,433,908,472,606,601,745,483,491,877,417,885,187,
034,988,320,075,344,364,799,129,744,496,015,651,278,580,491,654,708,772,079,
984,731,507,142,549,040,849,523,214,746,163,108,002,896,576,771,797,148,457,
773,961,656,558,070,358,474,677,761,517,623,263,299,087,347,959,990,807,222,
027,104,533,783,450,288,351,077,588,516,308,361,675,227,389,792,280,477,344,
870,716,761,379,528,496,595,665,879,509,257,580,320,606,182,228,986,047,417,
392,138,611,065,153,358,201,293,536,767,091,451,084,574,835,367,388,491,717,
310,074,640,824,243,571,382,118,072,314,696,391,249,661,349,547,655,879,118,
245,304,255,841,859,305,025,181,347,400,230,843,631,173,671,594,013,375,723,
080,748,644,663,963,222,119,762,943,971,139,191,002,101,869,796,234,172,754,
190,753,528,776,505,255,664,385,827,152,158,697,841,817,629,361,217,666,335,
080,707,217,213,160,954,263,610,709,899,381,670,869,416,468,944,609,216,510,
338,678,544,337,858,387,961,874,251,102,277,720,455,821,173,406,290,454,002,
917,765,667,727,324,787,622,314,447,245,551,829,084,832,578,572,252,425,148,
532,910,914,408,298,580,749,585,496,094,211,469,195,057,657,429,804,913,593,
515,798,863,656,334,195,648,101,695,430,639,210,839,255,361,116,776,204,248,
335,841,390,872,621,472,294,455,368,398,800,425,252,017,143,484,532,267,141,
164,777,670,035,106,697,950,177,377,809,845,922,280,921,929,424,153,743,231,
608,787,390,141,645,931,189,066,198,349,880,342,616,668,935,155,499,538,049,
846,671,820,348,234,793,617,853,960,185,398,579,081,531,169,404,571,974,062,
243,968,076,747,653,471,113,481,740,526,225,997,751,568,825,603,731,992,070,
821,800,746,085,390,289,768,167,574,067,077,315,190,814,111,011,904,188,520,
934,784,366,693,871,150,875,457,408,348,188,780,088,566,052,678,043,675,482,
941,066,103,709,165,681,167,613,897,055,730,647,468,821,857,442,356,101,705,
570,186,618,934,044,997,194,295,443,200,322,272,776,423,494,005,897,115,034,
657,380,565,218,280,621,842,577,843,794,222,162,644,186,232,364,243,405,914,
827,740,746,313,922,091,431,416,722,472,663,850,732,662,410,343,903,193,397,
858,240,565,320,690,790,617,317,422,493,109,855,064,394,384,784,523,374,659,
153,814,585,505,023,012,571,538,778,587,263,181,379,481,474,198,640,161,687,
017,789,744,918,860,532,754,103,984,411,839,851,616,565,664,702,850,004,012,
274,061,774,250,187,030,715,228,324,556,095,167,427,168,245,524,499,891,671,
018,711,065,945,542,607,183,481,835,792,731,653,296,922,045,447,503,171,725,
819,578,780,235,952,798,524,462,590,628,533,628,991,907,546,414,632,785,038,
912,216,229,650,534,828,444,926,035,892,487,738,478,507,106,056,572,117,886,
198,028,869,215,353,047,407,989,914,691,633,403,519,234,769,607,488,856,482,
183,662,580,485,531,660,599,260,715,532,866,660,136,325,324,666,220,148,408,
376,432,854,613,161,893,186,986,002,665,947,712,075,332,238,505,607,476,405,
304,764,900,115,774,615,312,040,906,257,754,066,278,292,698,632,344,514,086,
923,901,002,682,170,293,119,235,777,898,051,734,664,488,328,453,895,697,251,
981,723,446,051,027,395,615,027,522,430,205,363,672,145,522,614,219,637,774,
219,453,564,038,581,868,662,672,797,235,296,552,483,296,980,055,927,366,282,
896,445,344,394,728,744,756,799,786,448,644,703,255,020,759,047,512,754,625,
428,625,335,391,020,779,248,909,449,929,953,003,756,923,033,846,259,825,466,
384,303,413,874,069,044,034,669,867,217,717,839,486,398,392,302,931,993,369,
427,864,925,543,887,104,278,096,983,401,473,588,064,133,862,145,464,516,705,
747,615,081,309,267,552,034,304,661,967,355,597,853,880,932,313,889,147,953,
600,394,451,820,394,221,603,545,890,929,193,352,657,492,146,125,334,962,308,
682,066,307,767,243,554,176,407,191,896,782,965,812,876,399,911,858,082,747,
102,017,285,863,757,750,901,452,128,468,673,516,531,558,140,301,222,997,407,
518,096,480,259,009,441,011,977,490,294,841,288,983,002,982,529,730,436,111,
410,044,421,544,883,913,877,832,836,056,513,826,016,192,504,107,469,760,538,
460,018,721,868,401,085,949,038,502,835,592,968,747,106,109,422,170,438,123,
863,120,585,959,911,155,019,775,629,670,906,312,741,073,773,730,351,645,622,
233,641,008,553,594,367,209,098,249,525,591,294,792,835,215,842,140,193,746,
363,639,504,962,856,155,753,194,132,194,167,287,286,815,612,542,424,609,497,
364,383,420,223,181,647,676,805,190,590,353,475,875,773,174,841,574,647,574,
711,357,544,284,558,718,996,774,174,080,824,547,552,725,239,797,740,804,663,
631,625,129,190,298,953,535,291,559,523,756,617,304,843,840,388,128,307,702,
632,472,646,455,978,177,717,076,490,174,027,014,911,452,656,353,595,713,589,
645,767,357,958,828,973,417,146,965,206,656,345,396,890,160,832,417,570,188,
365,600,380,154,017,965,674,867,670,594,552,795,432,833,026,255,121,741,700,
864,192,596,815,428,775,965,417,647,929,416,667,311,378,494,068,946,869,042,
715,532,018,512,119,118,964,566,700,929,231,487,909,773,287,213,029,105,491,
163,988,040,651,415,584,357,109,705,514,576,149,387,219,171,633,310,634,099,
295,326,298,224,323,964,071,285,707,469,215,520,399,762,191,495,820,853,662,
359,675,237,240,721,616,831,955,622,381,784,832,301,024,444,103,917,234,081,
234,941,812,222,234,836,894,834,863,187,552,838,926,910,168,501,848,937,383,
713,015,127,687,699,788,164,444,934,074,112,294,747,466,105,998,195,513,701,
502,974,704,766,420,472,387,662,691,397,004,912,569,916,405,946,824,359,932,
186,570,951,695,799,956,218,675,309,030,541,370,719,853,968,633,503,769,233,
023,514,583,109,898,750,543,192,710,653,729,238,086,043,855,058,306,058,666,
900,816,803,178,420,819,407,740,955,415,873,808,721,832,723,097,373,345,625,
693,889,452,374,635,253,677,868,453,652,819,273,994,251,961,161,816,955,610,
176,316,400,593,495,997,008,047,296,215,547,715,507,344,240,128,267,984,578,
661,492,556,504,104,321,553,694,611,383,652,364,591,275,712,751,857,981,996,
331,612,547,559,246,370,993,422,725,059,822,575,129,911,904,566,638,832,772,
020,412,415,822,574,978,285,450,450,175,883,486,285,537,236,776,771,493,239,
905,058,983,888,157,965,801,871,694,428,764,275,899,748,575,435,610,279,829,
147,438,678,603,472,383,926,336,155,431,154,607,582,213,942,089,263,839,672,
760,249,821,765,412,897,385,786,180,044,906,175,925,581,930,999,746,552,611,
171,925,758,667,448,652,074,914,590,318,115,957,020,281,161,578,440,074,169,
907,961,370,142,106,211,698,512,555,455,613,783,860,856,873,535,789,181,779,
356,526,165,123,454,816,527,706,424,314,337,026,668,492,878,862,101,828,509,
492,303,274,201,910,904,002,020,293,915,995,964,206,736,792,530,840,363,325,
923,283,892,609,041,566,167,803,255,377,138,112,813,562,830,432,427,181,907,
016,396,058,989,629,647,294,191,920,934,823,327,815,454,331,972,098,859,872,
118,275,633,637,284,153,707,014,043,445,141,032,490,523,524,027,698,648,118,
277,044,077,007,124,535,453,364,276,061,857,411,939,099,851,328,222,434,771,
664,561,300,520,988,873,092,758,068,572,244,255,077,020,352,286,315,752,077,
324,675,428,631,726,442,481,450,612,330,419,393,582,210,990,573,112,948,045,
715,352,155,528,458,058,762,999,339,732,121,206,921,629,692,126,263,891,762,
686,816,839,389,998,209,314,634,750,274,593,902,856,001,236,940,781,710,295,
370,107,749,325,854,247,711,492,909,491,134,321,825,868,895,597,273,140,311,
545,152,854,201,058,441,926,235,836,416,838,878,696,894,969,530,867,608,796,
121,901,633,769,101,531,385,671,554,567,123,517,593,897,611,446,694,232,518,
639,616,583,095,989,320,737,864,939,518,676,491,662,777,487,183,798,967,353,
881,207,623,215,690,622,926,373,880,537,180,573,733,718,986,686,070,651,046,
503,389,266,585,392,511,544,185,673,072,538,466,169,799,298,745,637,931,317,
386,068,008,031,334,028,724,981,018,827,900,213,238,292,773,122,797,546,772,
952,042,608,725,746,670,319,251,536,798,872,744,272,851,642,003,568,686,636,
223,116,663,893,479,772,690,850,785,985,427,023,750,668,245,931,062,101,806,
963,841,734,192,770,942,699,924,726,022,622,628,284,597,771,210,270,634,221,
721,323,384,589,152,012,568,942,248,084,468,500,037,544,612,634,081,406,481,
707,162,214,420,751,787,059,128,197,161,367,831,569,901,018,423,889,545,735,
376,581,745,065,109,222,671,354,158,260,704,896,478,546,845,266,888,773,236,
734,338,074,417,991,738,370,097,040,236,815,346,681,677,728,348,142,349,629,
128,956,338,383,253,775,668,815,931,613,745,829,729,200,595,688,433,808,854,
855,594,481,143,356,291,429,154,170,254,465,222,487,241,764,779,264,421,035,
684,773,873,708,776,765,094,783,538,587,138,201,469,855,664,265,986,813,014,
608,465,511,261,270,948,921,583,745,765,780,943,780,388,141,800,974,468,087,
178,795,348,369,530,896,328,275,374,511,909,078,174,281,742,775,765,737,317,
331,452,022,527,831,677,150,881,025,808,716,823,898,304,173,874,822,779,838,
725,628,454,355,393,327,465,544,408,934,490,233,135,781,566,458,525,721,917,
262,120,028,330,611,602,768,322,422,528,070,512,167,673,417,812,626,018,554,
884,998,566,002,535,882,182,227,060,258,613,525,984,434,568,735,722,650,107,
280,434,245,752,676,850,100,464,353,833,561,092,240,225,966,316,025,728,689,
399,772,030,376,967,311,908,226,727,835,873,502,286,390,533,749,648,651,905,
407,608,424,579,394,602,328,602,706,100,720,442,094,402,065,156,686,024,546,
271,235,651,790,824,646,938,738,387,901,063,028,838,781,728,388,920,247,714,
226,640,954,198,273,152,464,708,452,253,965,778,519,770,363,320,792,305,974,
153,636,263,515,469,025,199,868,811,534,918,918,728,895,813,737,033,814,283,
753,910,475,855,889,020,134,097,591,317,509,412,485,555,390,889,923,251,280,
513,872,849,672,732,670,951,615,488,790,777,085,472,573,065,042,437,284,047,
982,296,199,334,326,225,955,535,703,738,510,107,444,047,546,821,544,819,193,
528,768,502,142,298,777,436,492,986,628,306,927,029,172,169,218,361,213,563,
198,123,788,294,025,760,363,177,533,540,779,236,799,878,366,847,610,966,388,
371,716,844,202,057,152,452,672,936,258,566,921,677,097,550,524,422,280,413,
481,247,768,393,274,293,763,587,976,691,045,122,791,756,691,190,389,444,948,
078,771,571,560,746,440,189,801,608,998,700,154,684,146,664,250,204,373,299,
264,840,277,472,467,628,888,096,239,911,112,039,401,180,446,984,773,314,144,
090,334,111,359,438,130,696,423,825,803,267,552,821,970,199,074,069,096,735,
292,768,180,106,970,803,761,465,768,969,820,090,753,458,599,288,998,161,501,
538,489,254,989,714,412,149,399,535,804,549,148,637,920,406,731,037,082,665,
260,620,260,939,565,969,116,065,099,239,003,725,390,627,337,907,335,985,267,
851,327,023,047,840,442,465,792,881,199,225,077,009,519,576,413,281,679,163,
536,506,045,230,372,606,185,718,896,179,712,418,683,562,126,580,041,764,736,
693,482,346,735,704,840,606,702,781,342,015,932,842,827,959,687,298,942,232,
168,216,164,348,506,302,539,855,345,070,992,524,442,990,854,663,942,821,302,
435,396,888,702,464,850,137,265,687,003,810,885,073,698,595,767,150,577,498,
773,100,533,473,298,896,406,839,368,086,838,027,825,999,402,426,444,221,164,
687,718,667,583,405,782,396,841,970,298,644,105,891,392,101,379,713,911,697,
259,322,296,713,485,839,284,573,553,898,745,714,456,853,375,546,660,035,906,
966,758,987,107,796,213,628,963,363,139,865,968,782,068,494,681,213,410,480,
918,939,579,326,748,995,680,617,206,174,073,349,444,820,956,390,746,878,170,
997,403,224,295,506,011,491,633,503,515,924,778,303,520,719,870,658,481,312,
411,836,116,602,190,014,535,476,940,377,187,379,165,061,994,168,096,132,636,
575,082,165,545,074,142,555,951,090,104,976,059,647,079,395,932,978,777,296,
831,289,091,372,583,400,208,248,788,981,076,752,560,714,039,950,862,683,930,
969,385,720,882,996,854,041,426,847,595,307,412,143,280,274,984,643,921,424,
182,336,418,163,420,479,059,444,109,483,795,561,693,170,235,127,611,332,150,
429,965,054,116,280,984,496,446,108,113,808,713,638,673,510,472,496,993,207,
350,694,640,916,243,555,143,335,832,565,890,570,943,121,668,286,664,193,473,
639,336,167,527,776,219,614,258,053,022,015,181,916,947,258,635,475,593,404,
657,658,723,535,499,866,374,730,124,132,491,091,442,091,813,024,793,284,313,
487,570,957,914,426,057,083,221,795,837,652,267,685,131,936,695,617,909,421,
280,641,022,277,429,662,328,287,029,741,763,790,658,223,995,688,991,258,923,
828,212,072,634,677,061,509,203,655,166,001,649,683,432,215,005,993,097,174,
689,811,076,507,816,762,133,818,329,129,674,503,436,691,156,573,020,292,067,
597,578,942,292,948,890,300,898,637,111,893,060,861,366,481,655,210,195,059,
007,674,725,648,504,066,107,633,826,991,432,150,995,073,813,593,015,224,876,
480,040,829,810,844,985,026,826,272,405,663,628,000,638,247,255,116,979,554,
362,027,111,732,450,141,353,935,731,578,253,868,939,073,221,201,355,988,630,
705,232,624,414,498,437,324,840,273,199,020,853,742,984,339,768,151,721,775,
305,611,973,205,948,501,990,063,453,762,931,351,450,517,568,997,827,922,658,
206,453,197,722,224,988,342,393,569,219,738,469,766,010,150,386,630,068,710,
442,343,275,083,089,756,518,907,994,089,008,910,224,944,248,929,783,165,853,
975,442,005,899,984,220,507,251,228,569,524,665,582,850,404,201,311,816,521,
334,519,689,097,379,474,498,370,800,960,982,276,084,101,416,824,697,159,709,
040,270,940,184,623,852,105,071,483,321,471,409,311,325,483,541,522,912,193,
429,229,402,893,943,545,893,264,785,161,776,163,813,970,575,678,904,393,386,
150,779,937,995,754,263,907,144,180,023,813,189,685,199,925,987,604,734,583,
752,061,751,746,680,499,532,888,885,883,297,578,410,168,428,466,912,705,202,
740,560,508,990,443,604,760,937,909,784,053,030,691,763,290,995,843,114,268,
274,112,165,549,536,500,720,912,864,711,647,821,750,690,234,258,860,308,504,
901,820,081,379,421,357,056,274,249,968,435,369,149,296,550,369,713,583,344,
834,619,068,032,881,497,491,693,501,845,238,145,613,332,508,514,090,533,534,
862,584,329,541,222,138,051,683,215,983,604,557,787,982,901,488,095,455,061,
453,988,732,083,628,922,477,293,339,576,188,358,415,370,346,460,759,908,504,
386,832,321,670,282,625,588,162,700,138,136,679,172,000,836,186,938,511,700,
391,588,672,503,741,924,434,986,644,307,954,185,715,515,581,961,135,052,734,
281,767,796,612,005,228,146,413,780,882,155,812,309,320,189,920,496,878,162,
489,609,590,841,229,357,723,864,627,997,140,382,802,206,139,911,533,362,227,
752,439,030,136,778,292,647,548,663,459,401,059,468,087,636,685,085,481,337,
400,205,548,726,853,438,904,554,033,157,453,031,177,112,399,004,640,607,682,
428,314,259,429,135,290,345,113,718,833,662,916,741,308,152,432,967,128,848,
520,703,754,698,773,551,812,531,326,428,028,529,853,183,493,450,849,282,683,
847,102,543,419,602,870,492,246,768,246,518,269,207,591,112,600,425,292,626,
437,640,475,401,108,685,128,080,874,705,044,912,966,597,436,534,814,641,803,
552,847,410,357,894,172,709,517,274,600,373,348,268,714,146,164,059,653,806,
700,712,455,149,346,012,517,865,562,214,742,120,290,415,992,004,888,764,001,
502,485,340,389,943,631,485,084,622,155,456,842,488,117,858,875,066,088,044,
622,669,341,186,454,213,332,412,844,025,085,209,463,359,680,187,439,839,327,
303,642,438,464,924,748,854,930,072,121,862,007,565,878,443,572,201,024,731,
523,944,153,046,433,262,793,873,132,269,746,205,971,317,633,937,948,944,880,
608,374,609,078,210,313,936,234,369,141,837,712,076,838,695,237,527,858,099,
743,920,516,823,438,493,143,923,941,149,743,493,624,223,487,666,569,513,630,
633,421,359,399,976,689,136,789,204,091,521,739,272,886,995,602,000,527,336,
385,775,222,122,009,983,461,783,389,460,402,023,582,949,350,658,967,749,644,
467,279,669,585,407,494,463,329,673,430,125,434,327,871,654,940,596,749,838,
822,554,454,944,722,603,419,834,334,584,752,846,603,926,756,086,640,945,056,
178,378,957,945,471,132,535,327,960,432,160,966,985,230,252,985,261,629,888,
678,088,314,087,199,956,452,227,970,627,083,292,613,178,808,052,897,794,368,
139,924,908,575,628,890,636,976,241,764,912,752,060,508,925,919,718,517,538,
639,741,641,612,090,959,332,169,551,480,187,998,218,113,403,243,848,336,919,
626,535,070,887,906,902,290,935,169,764,363,504,339,908,535,947,961,002,468,
048,442,150,995,805,075,862,263,229,447,184,873,775,349,818,494,782,183,316,
350,943,047,277,933,044,530,390,133,200,448,119,331,440,890,340,876,403,562,
999,102,412,045,597,203,730,063,814,514,497,574,762,378,501,737,162,720,832,
278,342,089,791,093,651,808,783,628,826,555,208,679,566,526,014,689,560,493,
020,772,523,490,967,679,927,228,639,502,288,915,332,328,715,824,077,406,307,
754,889,036,227,505,180,420,372,429,418,549,686,726,002,348,248,721,785,603,
540,744,394,926,963,713,223,954,680,979,923,949,854,954,667,921,014,355,970,
759,611,781,013,586,032,513,186,738,237,712,473,846,036,879,368,529,944,078,
738,086,341,082,082,588,467,665,147,979,450,623,952,470,678,163,702,581,676,
241,180,199,320,465,939,948,480,387,763,293,653,759,325,390,484,509,705,892,
660,673,365,323,546,907,801,902,141,813,278,996,728,750,121,787,181,981,273,
721,640,998,648,777,491,560,256,203,203,798,233,120,694,730,421,621,121,003,
976,076,866,337,195,522,845,516,370,537,287,968,486,969,270,763,577,875,594,
651,263,665,882,954,491,357,197,136,960,860,054,155,077,082,522,624,692,872,
488,647,426,929,515,702,820,035,655,056,407,915,271,954,914,794,064,595,177,
472,178,184,115,567,874,518,497,759,126,230,957,597,485,718,913,434,884,054,
881,850,928,145,321,014,182,063,294,921,609,137,537,245,224,393,077,010,773,
597,822,268,320,246,686,027,342,154,353,101,691,106,845,690,425,527,681,406,
330,040,237,810,744,950,023,143,524,454,495,261,280,623,108,853,462,484,787,
322,643,238,245,517,127,278,006,281,700,772,872,624,601,826,317,455,764,362,
365,764,623,978,470,636,278,333,230,381,175,673,269,715,843,480,493,868,999,
608,284,787,030,728,634,821,119,979,177,208,045,305,575,831,012,197,134,816,
677,436,562,757,254,679,431,769,139,080,621,296,476,515,800,081,322,828,824,
651,781,255,815,697,473,863,698,601,408,829,378,962,592,007,221,251,628,633,
924,382,476,231,546,351,717,833,562,894,043,427,322,469,329,324,391,267,108,
079,550,960,536,895,804,632,382,651,107,769,816,878,713,171,364,697,516,835,
859,045,072,345,929,971,023,708,111,099,270,799,482,091,720,333,285,247,353,
654,787,508,775,108,259,747,848,750,152,476,179,607,475,375,475,351,213,727,
409,512,175,706,441,782,953,365,225,573,869,851,713,083,500,244,561,777,785,
153,671,930,075,438,609,153,790,808,056,229,299,549,430,868,154,794,859,010,
261,645,343,099,976,254,408,065,229,599,129,840,627,608,758,759,235,315,111,
322,166,480,294,559,679,308,564,278,120,414,694,187,384,154,061,824,639,351,
228,368,401,930,944,825,526,396,334,048,875,536,571,810,138,118,099,472,183,
192,805,571,293,062,061,460,706,112,208,341,420,884,700,277,316,286,584,673,
615,561,094,868,641,360,627,245,344,409,148,686,483,265,331,232,104,502,663,
532,678,300,694,378,393,067,771,281,585,823,959,371,459,812,434,123,407,051,
311,501,196,473,890,026,668,000,344,916,246,053,598,613,048,904,081,541,483,
944,277,913,056,862,110,422,411,313,136,444,316,959,601,494,112,076,153,595,
117,464,186,267,078,193,981,827,787,643,415,904,593,681,674,387,180,144,558,
689,932,404,403,277,424,454,459,040,226,538,231,959,455,927,912,519,170,166,
125,540,452,609,572,790,701,781,711,629,161,655,147,121,126,226,852,006,657,
670,102,560,352,625,905,193,064,843,142,010,753,563,781,328,306,014,574,683,
204,363,132,869,230,430,459,802,590,516,641,031,022,056,096,955,226,291,990,
246,101,522,434,137,330,701,038,799,516,619,136,651,097,033,329,634,331,484,
109,826,128,614,102,970,121,333,160,202,837,237,238,632,372,662,295,502,218,
128,742,134,420,287,819,432,690,923,686,218,241,508,430,614,996,458,549,216,
852,577,469,904,416,638,150,792,310,425,104,315,967,046,711,260,318,007,684,
369,279,716,499,659,158,378,889,364,675,598,988,390,816,185,979,946,746,590,
316,044,364,781,142,939,364,146,919,851,640,572,041,690,326,971,080,643,702,
714,469,496,898,150,201,901,105,097,898,963,653,610,308,413,412,713,869,087,
563,865,075,259,077,699,008,072,676,350,280,231,650,646,748,841,970,083,370,
913,673,995,692,695,792,331,343,152,004,409,430,330,913,150,137,759,352,383,
752,996,683,376,198,237,596,260,650,672,138,376,548,934,948,611,367,307,079,
453,603,079,033,495,434,879,274,262,010,374,035,159,800,940,040,589,531,065,
708,648,754,124,319,246,707,330,414,226,418,173,149,454,594,833,692,271,449,
276,032,355,813,241,507,160,383,540,731,754,150,184,686,415,586,030,909,847,
065,177,084,362,320,646,202,290,500,084,314,561,902,218,513,495,252,274,484,
209,950,985,933,826,022,407,516,186,667,877,132,867,648,440,037,044,142,412,
992,824,624,341,771,885,038,001,996,762,408,685,996,306,895,326,587,544,066,
524,665,051,078,364,256,055,531,934,320,206,962,355,032,902,920,403,035,821,
892,070,901,508,715,303,748,511,925,666,125,457,513,826,839,263,239,778,030,
977,290,777,435,193,478,832,903,498,277,613,218,545,820,065,022,500,797,392,
508,629,704,700,901,898,754,671,688,548,534,614,900,489,326,841,995,092,594,
899,181,865,467,391,215,518,821,746,395,259,674,973,490,347,785,036,481,284,
552,680,449,804,902,039,809,102,156,673,970,734,771,095,604,519,150,037,713,
526,897,699,827,608,807,782,879,238,041,930,751,502,711,289,159,078,260,989,
827,514,501,710,976,297,197,502,321,275,063,818,903,436,099,155,907,382,373,
922,257,964,586,439,525,279,841,534,872,465,146,412,239,392,129,875,393,649,
412,938,348,050,545,745,441,113,122,218,839,775,769,398,703,264,742,345,542,
317,889,372,849,098,383,432,722,002,709,679,012,294,980,324,364,400,888,348,
888,159,671,146,081,969,658,438,222,561,378,999,389,167,086,553,434,106,997,
309,256,837,721,994,043,177,873,399,901,380,185,520,893,839,070,510,960,079,
733,016,424,388,275,256,775,711,633,997,194,549,875,908,285,232,146,737,183,
080,631,341,600,156,732,533,561,324,521,279,467,494,446,286,158,386,825,256,
683,823,736,325,579,187,389,839,029,675,793,602,728,018,369,425,970,311,219,
061,627,659,963,936,220,067,194,937,902,306,916,582,196,069,283,765,959,669,
978,197,623,821,176,430,066,669,190,274,562,940,447,983,803,638,794,626,239,
891,290,440,572,774,567,158,534,382,417,765,267,209,248,360,018,439,657,803,
460,355,515,943,644,275,549,698,208,528,187,535,641,595,290,446,143,114,486,
704,137,719,347,540,048,833,769,469,126,679,776,069,572,486,253,798,086,474,
939,789,032,615,999,917,429,108,550,868,646,935,146,203,080,213,387,383,607,
751,600,178,777,721,625,824,824,680,380,747,066,792,725,943,428,309,651,849,
428,607,514,162,217,742,955,758,365,133,834,126,677,247,630,145,211,057,181,
225,936,462,829,394,770,224,613,523,499,990,444,337,022,045,824,446,160,559,
454,252,716,159,751,615,997,771,499,357,874,170,162,445,232,770,732,469,237,
855,904,206,408,992,889,354,754,933,905,953,060,835,940,043,725,010,287,762,
866,140,321,241,958,107,063,290,559,590,190,518,914,683,478,146,370,248,330,
031,392,213,099,692,794,515,031,447,625,974,874,898,851,508,083,369,289,602,
029,671,654,326,561,137,230,973,587,657,112,753,180,379,901,379,696,217,911,
858,397,290,009,088,972,054,929,972,744,186,380,279,224,196,185,658,871,089,
308,608,239,709,896,284,312,308,397,518,561,651,133,923,418,112,524,223,470,
408,068,962,112,685,300,934,789,109,043,223,000,672,154,741,904,944,080,053,
851,765,625,923,999,355,646,957,233,450,706,972,749,340,255,783,625,126,021,
134,191,177,549,561,233,657,832,178,061,675,573,577,621,903,287,500,241,241,
690,273,567,404,882,664,052,133,874,771,746,003,443,010,655,129,467,607,536,
417,310,611,546,732,985,339,199,463,207,614,527,396,406,012,738,098,317,734,
259,744,906,983,616,130,591,295,660,344,064,995,081,951,173,058,698,070,121,
316,247,376,151,772,065,682,786,053,407,982,247,964,958,088,830,491,132,282,
607,580,517,129,144,130,118,991,662,237,755,537,341,579,779,035,480,922,855,
470,362,174,052,757,820,861,646,083,572,842,696,819,349,071,562,155,070,047,
602,771,073,320,417,763,114,324,528,634,550,764,164,268,487,522,159,240,351,
251,001,026,766,304,265,131,322,124,399,353,455,327,304,830,269,177,357,722,
412,138,384,459,289,178,208,551,891,315,384,725,476,986,475,673,813,508,742,
796,297,621,804,494,791,039,237,419,075,155,827,413,870,554,667,127,681,440,
070,680,921,175,440,325,604,552,000,664,786,783,171,148,861,964,944,269,091,
676,897,255,713,408,308,264,176,069,665,526,000,033,258,131,221,318,493,390,
732,666,762,304,788,326,742,209,031,123,311,465,386,496,516,672,643,461,202,
665,274,581,450,690,894,379,464,870,533,360,024,338,389,629,564,296,968,335,
909,917,757,575,555,214,424,423,413,867,542,968,337,155,390,480,601,200,491,
133,002,053,372,329,873,453,444,941,463,818,080,088,371,548,808,746,538,197,
763,786,491,117,581,973,427,607,805,383,353,658,610,477,198,697,226,275,562,
330,366,201,711,218,443,685,421,837,280,432,271,873,042,136,204,276,820,249,
834,900,159,021,851,307,470,481,700,182,379,491,128,316,433,916,595,754,275,
363,013,908,944,378,506,079,435,974,588,625,437,934,274,559,909,340,892,345,
636,046,030,637,215,363,689,438,261,363,709,291,002,277,231,939,498,008,083,
619,748,306,912,059,039,075,961,322,648,309,916,872,631,630,210,925,841,551,
849,194,170,006,263,691,912,109,447,835,389,896,134,753,290,696,674,140,648,
931,654,053,261,907,737,763,023,797,174,851,604,820,209,935,655,660,821,019,
043,321,353,204,020,946,482,507,058,858,685,716,372,581,092,202,905,192,531,
793,061,633,211,553,127,696,225,531,683,975,047,169,466,766,516,143,372,446,
678,646,513,458,868,077,154,169,995,049,934,982,818,219,014,360,191,437,251,
744,727,082,792,892,145,994,875,152,647,822,191,114,655,385,464,986,631,788,
024,918,146,230,149,006,138,658,660,613,935,408,488,219,995,108,477,283,765,
287,789,261,762,004,029,478,310,734,686,478,259,285,115,838,016,318,671,900,
514,991,607,396,406,196,948,370,362,467,460,913,743,515,511,759,681,576,742,
712,606,880,905,254,537,327,955,734,758,733,320,153,071,992,280,769,020,895,
524,634,559,147,150,240,872,461,510,056,435,277,741,687,813,212,420,207,633,
323,445,310,348,628,626,777,563,192,302,754,389,459,209,819,483,028,669,671,
416,693,805,548,740,036,062,278,063,781,319,203,687,125,557,256,860,960,938,
648,690,629,763,551,940,464,424,947,966,264,938,335,229,668,127,531,543,069,
716,841,121,634,032,393,938,473,814,811,089,103,723,999,030,189,114,215,330,
137,916,510,730,581,586,496,300,361,482,888,291,570,184,936,749,022,781,126,
187,013,130,332,026,605,041,801,730,712,316,449,041,063,227,192,120,066,060,
041,429,495,090,768,950,247,515,586,288,230,215,048,865,899,119,559,002,597,
661,733,889,372,314,717,582,229,943,015,760,812,952,656,061,853,732,973,869,
666,151,008,816,958,690,589,593,531,252,479,465,093,891,147,619,395,404,711,
128,235,962,972,096,299,956,926,014,842,999,624,471,839,757,846,501,738,975,
647,679,929,323,160,978,228,254,323,726,250,822,076,825,486,699,850,298,328,
098,931,715,610,892,823,010,679,952,069,872,492,578,287,279,909,595,349,098,
003,062,944,779,771,074,433,327,106,548,104,115,340,989,810,843,669,228,898,
046,141,436,569,292,552,017,575,813,640,354,422,033,869,581,423,777,266,346,
160,511,138,946,611,687,668,673,918,385,181,319,207,718,966,252,435,726,197,
012,525,810,018,101,745,765,113,391,200,092,065,863,604,255,957,513,614,278,
149,169,815,742,161,206,684,214,885,867,897,184,205,584,953,776,945,652,003,
926,548,969,215,532,529,857,491,339,839,291,033,687,946,434,777,812,380,935,
793,231,961,232,084,840,970,005,249,709,694,134,048,393,786,615,047,462,552,
687,498,691,123,414,660,938,664,471,897,802,882,666,527,506,041,010,969,372,
991,163,416,598,062,224,488,766,318,590,195,418,624,582,068,529,126,904,577,
282,288,222,412,809,353,277,535,869,980,995,636,946,892,740,384,910,515,863,
511,140,610,802,305,500,804,686,459,671,473,258,197,953,883,179,580,816,887,
279,160,601,372,078,309,744,054,896,508,529,718,931,699,373,909,529,736,828,
652,424,129,407,263,354,841,592,659,865,815,797,437,280,634,352,065,488,703,
214,929,328,715,313,085,617,245,754,364,227,597,399,986,814,365,854,912,488,
911,634,643,624,518,023,428,409,281,329,827,269,669,418,997,435,696,690,586,
060,958,615,853,665,381,596,459,520,931,556,824,401,722,990,419,038,398,460,
183,025,180,697,517,532,385,039,488,187,771,827,963,345,756,158,063,949,582,
870,596,319,285,060,415,300,949,482,963,360,685,293,589,303,588,402,227,822,
525,224,580,433,860,862,441,699,698,554,181,889,354,894,129,849,008,998,732,
190,137,484,242,433,692,664,622,300,198,630,876,793,042,009,457,960,629,391,
047,232,196,643,514,497,335,517,958,312,239,107,718,789,451,578,442,776,442,
259,450,223,067,819,791,361,927,320,149,674,877,688,875,812,843,393,254,406,
919,593,814,230,692,902,482,846,085,885,379,559,159,174,589,252,930,682,510,
455,949,335,055,382,414,816,080,091,098,837,129,551,611,994,449,488,416,016,
693,741,544,221,125,034,446,466,821,126,553,949,414,813,898,638,763,513,126,
159,421,979,045,494,570,235,109,899,441,854,799,230,845,748,043,269,538,022,
472,069,706,025,264,019,095,952,677,254,658,285,015,541,161,863,911,163,747,
950,626,793,860,589,588,373,373,497,012,626,838,463,474,731,487,193,159,727,
248,523,389,373,999,891,632,619,652,620,760,179,060,306,034,751,185,604,992,
427,882,019,174,860,019,995,064,143,070,023,195,247,661,023,254,980,598,937,
458,319,324,753,894,043,963,459,714,888,761,033,048,922,034,693,444,656,019,
131,085,314,595,342,225,897,269,321,501,520,707,545,597,953,495,627,788,710,
817,340,111,203,459,600,240,068,305,748,416,429,951,119,905,510,930,396,369,
823,169,471,797,397,878,616,688,797,782,915,001,976,651,450,718,771,019,756,
588,802,036,733,268,268,208,173,488,664,526,738,565,484,293,085,058,000,102,
213,986,447,050,338,288,551,679,568,146,790,942,072,872,804,834,964,085,249,
772,089,556,046,936,671,702,556,660,458,760,221,033,756,154,071,365,677,115,
325,061,628,565,908,997,770,364,064,374,799,812,373,632,952,261,379,050,842,
775,291,552,620,889,482,172,469,111,559,049,498,530,142,864,135,355,474,169,
653,266,443,974,432,821,466,419,131,166,886,918,431,925,099,644,072,132,303,
598,666,151,880,746,740,703,766,474,469,696,580,607,936,884,470,785,678,603,
247,774,480,684,990,841,938,617,354,377,142,841,372,471,804,776,915,091,817,
307,646,767,079,221,876,602,311,821,455,119,172,017,891,810,411,006,226,613,
867,771,269,388,049,421,786,862,740,865,937,748,065,424,729,318,150,767,290,
390,127,842,100,810,282,120,822,346,557,554,189,741,453,326,213,347,340,057,
022,508,459,678,283,009,618,871,968,785,334,466,030,137,034,726,749,590,345,
614,346,317,612,100,080,149,213,760,694,863,917,902,416,486,897,125,440,112,
718,992,639,176,798,755,101,312,778,619,140,283,036,797,149,096,486,576,733,
978,147,710,916,111,467,857,414,575,638,862,642,536,287,029,398,096,899,607,
518,217,003,770,710,441,845,734,382,403,622,858,333,287,915,889,490,807,497,
430,009,207,623,088,563,898,574,821,014,600,368,511,030,450,349,649,883,350,
584,895,334,412,654,584,552,760,059,100,583,958,362,903,752,218,783,792,931,
603,721,185,076,636,942,430,688,060,625,609,418,626,005,818,815,919,283,432,
470,478,414,376,738,722,225,415,131,892,203,843,921,969,751,175,820,776,384,
063,353,037,786,900,054,613,071,978,204,103,970,850,332,035,774,910,143,502,
978,254,439,781,587,565,085,414,849,318,150,604,252,063,719,545,436,973,472,
757,206,552,580,650,519,214,838,030,758,235,033,645,928,551,896,456,742,808,
375,041,671,931,215,500,055,755,505,186,459,336,979,045,276,843,768,594,359,
240,170,226,195,513,216,641,533,655,228,083,483,959,472,653,292,354,855,334,
701,787,122,052,388,006,699,293,074,431,061,832,398,423,280,081,655,013,996,
893,078,938,098,133,083,418,516,241,501,023,459,380,337,727,730,372,282,060,
475,677,105,331,000,187,272,040,431,284,807,629,305,122,096,162,574,359,032,
916,158,331,894,957,338,851,424,055,716,899,933,733,078,249,033,289,406,783,
109,742,491,443,273,943,932,071,541,009,250,597,225,487,370,903,760,546,771,
968,093,600,557,421,626,476,571,794,309,031,301,629,004,756,214,855,522,786,
716,553,518,838,975,062,773,656,511,179,609,846,827,781,900,241,155,759,954,
374,232,493,183,190,268,717,077,664,305,846,581,150,310,520,087,277,398,388,
493,337,573,078,780,470,420,875,062,412,025,603,875,823,144,890,705,338,727,
400,601,121,891,613,772,157,782,673,385,743,367,263,378,761,623,187,448,219,
938,668,571,832,483,553,098,872,788,754,198,337,660,825,252,310,724,263,928,
649,229,053,947,363,212,327,300,113,198,734,805,009,606,917,679,952,059,042,
606,083,194,095,531,182,702,462,157,107,767,521,392,328,591,080,847,034,084,
297,323,612,925,898,390,289,631,878,660,105,925,381,994,107,321,699,057,726,
453,675,747,416,494,478,963,649,328,645,009,845,020,793,960,993,429,932,635,
122,129,062,414,427,067,388,069,300,207,156,360,438,013,533,291,332,770,317,
431,920,034,808,168,437,550,006,076,554,929,639,544,508,182,165,851,799,783,
127,614,771,648,815,994,303,453,592,518,905,490,275,626,907,167,684,137,628,
965,491,450,782,299,821,336,792,475,895,799,441,431,646,731,970,882,649,250,
952,545,206,317,586,530,688,545,380,521,908,926,379,148,894,127,450,327,269,
391,467,165,026,300,577,023,942,281,361,623,899,046,301,136,150,274,924,869,
325,224,314,497,529,256,790,728,113,692,287,030,591,822,182,419,786,060,363,
903,986,771,009,687,121,476,607,588,715,619,339,508,133,736,222,845,093,736,
643,629,874,146,153,580,250,536,562,688,209,238,782,288,552,116,474,301,084,
886,798,190,491,657,011,289,205,174,497,265,204,462,652,294,134,529,689,907,
072,571,741,689,910,390,476,954,500,824,855,865,285,440,351,942,438,571,387,
869,906,741,307,338,207,748,768,903,739,300,615,755,149,264,973,216,425,941,
592,133,751,542,768,405,997,250,395,913,519,133,408,648,650,974,770,005,765,
750,672,344,916,955,063,839,795,624,540,865,643,830,213,723,270,275,812,885,
047,558,248,037,533,827,665,561,781,211,070,085,124,672,985,261,388,000,555,
686,898,454,895,285,336,198,507,988,102,115,905,444,545,123,585,853,694,418,
174,080,036,294,965,646,370,288,373,380,165,086,953,424,018,625,692,938,398,
463,577,823,916,448,887,418,612,790,232,453,650,356,655,944,650,333,947,324,
126,183,916,036,465,812,089,390,334,718,975,011,123,412,305,465,470,124,021,
307,238,008,506,168,119,406,900,878,605,493,272,051,821,917,215,513,355,983,
332,488,315,938,843,906,669,708,729,759,101,066,861,693,790,054,343,227,416,
683,625,284,129,961,948,730,884,729,446,030,940,572,876,683,636,232,106,451,
021,826,451,690,329,221,811,840,743,986,117,105,095,038,302,537,210,236,272,
944,559,259,773,476,031,878,980,326,316,375,973,520,410,515,748,979,100,591,
333,497,896,739,314,918,097,380,016,346,205,553,495,298,458,630,367,612,088,
613,443,815,441,675,380,555,772,938,632,293,030,298,202,196,139,271,866,363,
760,495,111,738,592,458,949,880,301,454,698,418,851,321,874,816,226,355,062,
147,379,290,471,660,173,168,559,394,434,480,292,714,378,122,444,700,561,176,
272,634,627,456,225,945,081,467,787,494,592,211,290,583,273,636,243,298,444,
097,215,702,037,545,977,543,480,576,908,238,816,854,223,852,741,460,584,924,
376,012,325,603,672,511,747,894,706,225,036,777,383,894,083,620,629,284,488,
722,243,520,275,203,502,264,827,182,441,882,180,365,387,789,730,888,173,282,
629,867,775,204,083,844,326,095,940,327,231,518,971,243,204,330,166,389,014,
181,212,394,447,064,306,523,718,731,447,659,322,075,317,575,281,667,307,887,
653,592,809,871,550,367,590,670,212,847,755,248,091,794,284,663,204,716,490,
255,527,781,618,000,652,203,346,603,163,586,919,876,340,711,298,939,182,128,
410,291,792,010,970,176,758,366,312,020,960,826,577,642,133,259,531,864,695,
237,796,431,695,989,882,305,486,285,709,016,186,387,669,755,838,945,809,470,
316,676,872,346,543,515,229,139,042,641,511,484,797,113,476,436,401,835,332,
769,351,908,061,252,017,571,805,921,858,292,695,868,918,424,490,068,819,030,
588,214,672,969,238,027,921,978,489,312,440,429,423,385,802,170,878,406,524,
120,900,867,736,604,040,444,630,636,104,024,254,734,325,114,393,878,320,777,
855,078,993,253,826,115,699,072,553,993,172,678,032,340,426,647,208,782,215,
266,620,972,745,507,720,337,211,856,501,968,709,847,108,019,327,490,170,548,
302,215,451,131,725,604,577,835,420,852,771,489,097,914,032,028,935,796,223,
192,664,130,311,602,096,507,271,033,585,442,543,878,984,166,260,070,919,030,
272,369,050,537,410,949,347,521,275,679,670,078,014,452,488,798,225,569,289,
138,026,922,615,126,972,176,955,656,339,338,897,574,050,824,764,912,100,085,
205,900,487,663,977,202,385,852,090,608,821,439,995,000,715,993,442,398,095,
334,071,447,977,916,851,669,871,412,654,861,029,069,559,619,286,104,789,848,
874,357,397,848,962,913,173,314,985,045,859,197,807,352,948,216,424,003,163,
712,121,040,498,621,443,856,669,407,296,149,202,789,309,965,193,930,685,991,
765,310,968,503,947,160,701,516,724,173,146,753,153,963,880,759,425,271,244,
012,875,104,315,285,178,558,201,198,501,722,931,324,974,770,675,957,681,120,
231,319,071,235,074,915,172,188,763,761,613,791,488,591,755,999,760,468,543,
412,678,307,443,421,853,384,442,484,516,969,689,830,027,014,521,399,152,908,
988,590,143,758,481,877,185,487,510,650,027,129,967,129,789,881,114,180,121,
341,681,296,726,279,119,456,436,645,118,057,089,845,170,277,983,105,459,371,
551,315,268,580,597,226,667,299,445,239,405,236,356,945,163,275,294,377,140,
253,004,442,343,128,093,108,614,467,558,061,524,120,257,559,915,166,167,845,
797,349,215,686,402,069,360,652,365,323,947,287,231,287,076,090,187,334,844,
278,794,869,750,286,648,753,617,945,869,218,879,384,027,083,685,564,756,127,
798,274,556,984,544,367,002,628,373,297,214,437,581,848,795,548,650,634,187,
626,150,768,791,864,026,822,945,060,839,084,897,957,353,618,662,452,572,784,
494,924,475,997,785,476,805,055,532,778,362,091,628,027,951,330,394,008,078,
937,730,740,877,387,552,147,678,620,227,504,208,068,541,995,009,143,400,386,
887,013,000,522,052,764,638,590,701,096,500,445,956,738,974,193,370,377,602,
007,611,689,779,890,140,461,604,245,383,565,504,231,123,127,174,844,640,913,
933,855,064,596,486,674,692,909,924,950,505,263,791,260,108,812,954,626,738,
757,539,898,759,251,753,845,551,956,960,011,222,743,544,146,062,943,296,226,
826,928,979,503,469,479,180,803,023,575,373,297,885,566,093,423,803,749,642,
526,944,982,591,971,087,357,314,427,448,611,464,813,789,756,088,109,103,084,
402,862,860,787,349,703,791,098,248,759,808,559,846,802,706,910,288,779,259,
916,071,002,775,655,678,318,610,861,733,375,749,130,898,681,681,883,341,836,
149,330,410,345,140,298,694,867,883,497,453,659,420,988,597,890,306,932,103,
218,270,809,072,074,084,351,958,234,744,730,392,333,209,169,682,805,807,434,
293,197,520,786,349,642,032,389,283,551,692,610,134,267,146,433,223,628,352,
020,076,361,447,424,289,236,048,268,356,961,676,319,061,053,717,891,671,688,
513,165,663,817,936,076,112,276,383,352,988,797,107,651,889,292,747,004,257,
480,974,771,505,281,014,764,083,452,572,317,608,309,348,834,164,895,833,508,
747,653,072,433,903,548,869,511,088,847,198,094,162,504,582,157,001,809,543,
265,916,446,240,795,057,164,676,523,552,444,687,720,469,896,278,249,893,287,
472,411,115,557,562,375,946,488,000,543,044,787,746,898,588,698,801,713,916,
398,701,254,966,846,113,084,607,144,504,004,835,323,873,505,415,027,147,686,
260,457,466,273,210,874,257,226,392,698,404,861,689,376,350,792,481,168,784,
470,471,051,254,942,329,629,468,464,091,799,071,949,512,098,756,613,142,723,
974,404,677,971,851,049,074,675,169,117,918,960,947,705,241,856,716,780,566,
369,960,682,701,672,381,014,271,134,952,208,292,993,194,664,879,620,055,802,
866,741,229,670,357,982,159,262,962,494,098,753,668,602,241,040,515,650,985,
583,132,161,108,662,183,480,928,418,064,480,448,080,182,411,948,547,279,265,
589,064,596,994,935,262,474,062,669,249,518,810,707,510,359,391,930,262,695,
199,483,578,859,654,113,765,829,901,125,974,551,010,421,903,716,733,695,367,
564,305,662,591,522,939,031,174,339,832,748,348,815,796,385,120,776,104,447,
481,288,322,518,433,651,769,334,691,244,957,187,258,680,531,617,076,861,658,
265,319,156,093,764,282,149,180,805,368,772,208,287,237,310,970,543,358,780,
112,252,860,396,035,078,758,585,658,409,459,536,919,958,856,998,300,464,414,
443,360,272,686,459,078,777,715,223,545,471,590,514,399,389,147,450,823,106,
944,466,461,877,286,323,351,296,551,962,607,045,809,430,003,940,958,221,780,
243,709,761,069,149,037,506,040,603,223,243,701,386,675,924,183,697,035,742,
661,513,944,741,782,446,204,868,145,095,778,501,459,354,753,571,639,650,278,
667,093,338,591,244,298,431,411,303,196,251,984,104,641,458,861,757,814,377,
669,766,514,192,808,706,234,689,241,840,806,311,359,679,285,658,142,520,934,
604,331,632,605,628,056,521,526,393,308,309,611,473,057,924,697,169,566,488,
646,376,223,245,489,714,197,510,082,022,618,425,469,531,549,235,231,069,235,
239,958,529,086,982,332,202,761,136,585,912,493,881,547,466,747,253,511,815,
989,561,239,811,472,680,879,175,153,297,220,519,073,257,587,782,501,296,971,
421,686,190,206,950,294,407,092,728,034,578,983,331,891,048,479,385,910,941,
565,266,143,331,287,471,314,173,830,322,869,675,060,943,179,854,192,764,639,
250,850,164,087,679,121,933,924,667,632,828,680,800,028,462,825,489,917,865,
548,180,400,025,690,475,649,223,081,465,086,944,772,033,073,348,205,577,378,
307,058,972,510,129,417,559,621,583,339,070,543,618,336,563,902,758,372,419,
031,882,062,285,935,591,386,402,651,751,554,568,389,590,408,984,287,298,247,
103,494,393,715,856,505,149,653,037,286,491,137,931,205,618,075,454,672,732,
664,066,856,236,986,829,669,711,070,801,795,419,747,060,199,491,886,019,541,
541,187,254,443,441,401,763,233,372,274,461,405,939,653,735,933,994,602,153,
085,641,108,753,755,990,496,000,137,604,432,791,924,663,983,964,260,749,035,
121,601,484,626,439,545,454,026,421,135,843,268,225,922,367,834,069,992,946,
141,100,208,111,584,839,951,235,540,186,503,539,538,207,895,984,066,158,793,
136,135,931,962,912,508,840,276,121,513,246,519,197,707,094,015,771,565,669,
982,413,844,794,128,519,429,152,129,760,582,377,388,518,124,684,414,163,663,
756,872,669,121,823,199,062,254,571,111,855,151,205,651,061,325,257,608,313,
803,567,232,270,379,125,728,989,243,689,912,239,478,561,922,261,272,115,099,
964,284,791,216,070,257,478,176,788,143,261,824,689,725,058,436,930,875,960,
815,830,179,539,892,959,117,858,006,515,523,075,091,259,126,061,231,932,028,
393,597,080,186,640,554,238,745,193,077,516,699,520,651,900,941,068,513,143,
870,194,317,291,331,738,420,271,992,575,830,866,342,255,973,956,939,753,385,
978,387,267,776,039,767,082,834,951,959,740,147,924,558,786,343,556,552,561,
170,737,962,063,172,345,735,826,665,394,845,655,455,623,136,042,731,083,436,
795,008,822,226,053,662,445,813,328,299,400,530,717,206,080,308,783,007,824,
501,754,340,694,944,580,498,928,600,566,897,722,463,840,016,734,089,512,519,
771,535,406,045,482,602,325,993,541,190,407,630,113,795,198,372,963,375,483,
943,764,267,276,506,363,917,505,916,795,579,206,945,945,556,103,660,557,195,
086,055,324,962,885,747,916,063,861,425,119,146,167,143,081,375,144,715,496,
601,647,838,603,476,959,230,997,975,317,788,633,521,483,019,829,846,472,888,
140,452,404,246,161,421,063,272,930,609,466,185,149,850,602,507,222,496,763,
527,305,791,630,107,713,932,052,253,540,211,841,553,145,104,589,698,508,131,
602,913,898,686,606,898,690,335,007,176,816,178,346,211,218,959,813,506,845,
221,017,614,751,329,047,064,501,037,210,671,480,716,921,140,409,387,877,598,
538,365,593,494,990,362,777,365,609,703,914,587,683,865,208,123,110,333,108,
475,504,284,774,069,672,135,483,434,599,661,099,408,195,886,188,716,471,387,
765,305,276,312,940,364,798,838,793,027,950,685,512,215,948,307,225,946,978,
012,375,611,211,921,864,385,810,116,092,438,978,487,437,060,075,761,542,814,
053,092,028,465,748,371,553,832,019,706,057,363,509,862,464,644,922,215,560,
847,645,450,043,715,013,071,748,058,591,086,518,339,348,930,636,718,630,810,
668,591,871,678,249,343,851,357,003,259,802,935,538,746,887,631,779,148,055,
647,409,693,281,904,417,936,509,946,071,058,400,475,471,521,749,059,764,599,
710,115,088,884,290,394,611,025,038,493,118,231,825,643,290,057,834,722,349,
225,464,716,836,673,499,283,322,375,644,714,566,984,950,436,024,824,247,645,
546,948,061,626,139,118,674,108,385,733,867,421,089,209,736,587,700,396,910,
098,692,125,714,728,463,059,795,798,575,314,120,515,371,320,929,759,033,407,
263,083,815,220,748,369,742,387,510,298,888,091,198,645,649,999,595,098,470,
092,025,554,731,459,132,555,597,821,897,535,815,029,493,285,272,960,704,228,
914,841,861,229,350,032,281,110,371,579,922,829,523,962,320,157,741,271,250,
070,462,512,370,930,618,863,860,971,254,202,260,908,748,798,359,673,641,282,
718,562,744,296,530,828,914,832,399,312,898,382,155,924,118,934,224,303,275,
281,279,583,771,712,091,248,583,869,583,313,858,687,932,502,709,434,033,262,
428,627,609,013,335,941,149,934,684,382,892,450,096,950,823,124,352,386,350,
165,276,571,742,113,776,505,574,973,497,998,557,951,959,617,597,878,572,903,
098,249,260,167,591,619,234,580,803,591,075,714,345,666,829,909,676,545,012,
260,868,927,734,487,381,715,546,184,773,066,621,548,419,873,692,370,230,574,
259,872,311,506,959,059,084,829,069,164,683,334,462,027,752,835,797,505,245,
016,935,820,420,309,160,023,317,992,528,841,165,493,571,394,169,594,958,510,
999,925,762,358,181,988,629,388,902,591,232,114,877,168,929,562,054,068,572,
544,674,624,110,367,559,061,524,276,218,971,799,435,221,902,520,443,101,790,
640,593,960,945,078,397,458,139,660,099,967,472,531,512,001,793,676,376,465,
443,704,230,982,676,189,511,292,079,280,744,539,320,195,180,206,294,136,711,
331,633,385,496,887,293,711,809,980,330,309,505,781,551,573,927,708,416,883,
185,992,141,746,098,750,720,995,089,113,457,582,986,584,767,913,858,337,595,
700,148,925,247,003,114,441,614,730,216,126,305,844,843,686,382,000,848,963,
479,776,189,409,001,004,466,282,556,861,514,865,505,819,981,661,323,055,332,
551,231,625,137,542,385,269,097,671,252,635,021,220,613,961,170,481,594,771,
886,649,309,006,521,061,832,666,419,740,159,442,934,676,211,526,313,377,793,
026,587,533,145,933,463,787,039,293,295,971,031,782,828,473,620,525,821,184,
401,679,592,944,450,357,496,025,292,260,762,124,353,910,926,094,176,310,145,
325,915,905,163,901,202,788,488,155,533,964,430,123,372,168,853,333,449,734,
865,749,982,895,187,493,207,025,965,039,897,686,032,404,491,183,965,059,464,
388,746,796,402,521,561,736,485,961,084,672,673,976,774,217,970,856,100,472,
793,960,738,764,731,543,645,583,049,056,000,115,929,098,570,198,570,056,856,
161,822,228,190,032,835,620,764,116,805,884,217,658,403,231,737,603,141,980,
778,418,767,157,808,756,820,723,694,756,654,351,255,727,325,551,753,003,503,
348,068,093,297,300,190,188,695,646,655,014,949,050,356,251,135,659,892,526,
129,173,988,639,873,258,017,590,856,736,175,945,394,399,738,930,295,801,323,
903,710,829,045,501,836,441,808,541,748,652,567,662,833,401,997,404,480,128,
489,943,958,634,158,166,176,549,422,838,322,759,124,397,341,109,738,330,415,
553,967,210,323,011,316,818,161,867,663,263,307,674,783,739,654,299,190,324,
482,996,215,610,712,070,187,149,985,506,222,710,662,126,876,481,304,355,631,
052,827,477,694,328,617,517,242,076,047,612,113,149,424,328,539,745,441,292,
334,573,341,639,883,620,345,084,194,250,030,277,398,689,948,769,119,822,745,
877,251,317,230,573,345,906,167,301,438,468,485,309,666,614,388,890,604,543,
619,870,372,657,335,686,616,836,521,575,080,934,034,455,537,369,812,838,370,
994,263,114,809,098,230,238,966,894,006,448,098,739,777,137,460,476,990,565,
812,401,679,356,319,468,376,149,360,145,858,152,974,285,322,039,448,393,402,
233,787,150,032,342,898,490,642,942,319,155,328,741,288,858,481,376,369,304,
918,326,262,753,890,455,945,977,665,979,549,741,383,970,059,370,031,735,327,
546,800,809,918,791,525,250,541,125,240,154,079,835,552,620,784,034,357,540,
207,087,488,483,542,346,095,579,094,993,632,499,277,654,095,070,218,429,654,
191,272,418,213,018,683,708,214,356,574,549,263,215,185,642,786,208,744,879,
101,855,382,125,031,468,908,809,601,639,785,499,979,195,977,313,099,251,418,
566,474,247,834,329,220,042,440,351,087,421,138,576,189,500,255,374,770,749,
670,353,391,086,971,689,519,180,578,310,111,436,988,018,322,148,606,404,995,
577,909,696,411,990,095,588,905,899,833,939,150,248,609,892,265,515,391,650,
384,507,550,245,581,692,228,963,694,455,126,517,207,666,543,492,103,944,899,
689,365,816,043,363,380,985,219,466,772,434,579,779,387,346,641,410,272,386,
209,689,699,196,367,264,489,471,777,970,481,034,351,195,683,384,250,769,775,
483,118,580,479,832,945,280,728,852,897,938,144,002,992,283,642,573,951,756,
540,040,365,838,045,407,809,616,686,496,302,115,751,493,802,215,894,182,041,
207,151,596,381,652,327,527,026,216,722,633,204,692,509,128,403,436,682,648,
817,370,128,185,923,348,714,663,794,659,267,972,102,041,913,733,255,126,049,
529,182,789,668,883,149,428,915,707,132,273,516,762,416,822,152,472,669,703,
360,464,483,081,641,707,962,787,440,131,113,212,956,572,352,649,989,880,634,
388,236,271,368,713,002,709,413,517,506,381,098,599,665,720,539,915,300,040,
639,789,644,544,440,597,881,502,420,305,443,244,591,762,165,196,657,106,920,
952,575,072,724,287,948,042,859,299,723,524,361,592,188,383,545,933,899,371,
313,498,129,639,484,411,398,549,589,387,771,445,429,856,371,407,214,943,949,
970,373,795,161,497,454,747,841,453,708,744,702,127,456,563,186,877,740,207,
401,379,358,218,686,672,618,006,585,950,879,968,160,648,745,520,797,703,227,
485,053,485,270,928,499,314,867,342,479,106,670,393,163,916,496,651,211,668,
161,423,716,669,951,972,720,454,410,269,121,759,287,005,471,247,283,136,549,
812,898,068,719,150,785,986,895,325,014,353,405,457,643,334,701,775,997,918,
477,762,724,801,681,934,266,521,444,859,582,809,303,430,517,432,787,560,084,
190,228,670,280,480,061,374,864,362,870,271,538,669,635,740,038,017,771,616,
687,717,288,197,235,467,642,630,627,853,669,007,821,020,942,195,386,989,087,
131,452,034,082,874,812,668,660,177,462,960,143,557,455,533,033,667,941,238,
807,059,906,535,410,903,538,593,032,807,395,822,830,869,733,693,008,537,938,
134,458,961,992,190,166,249,784,187,036,008,978,666,613,971,221,916,557,060,
948,999,465,874,249,870,525,765,849,476,458,599,756,715,055,522,099,198,998,
841,782,809,532,374,471,213,217,105,275,057,053,933,003,316,157,620,706,198,
611,428,729,371,951,342,385,553,212,147,830,856,746,162,371,165,848,627,989,
272,151,831,351,016,307,843,984,805,847,213,030,578,189,471,799,703,982,735,
917,272,368,398,028,549,609,564,673,872,312,110,315,647,097,852,179,778,498,
197,196,551,295,385,548,826,893,866,685,509,346,646,633,035,001,247,592,041,
354,365,437,261,813,719,319,748,426,449,800,534,644,089,685,269,041,109,728,
911,992,597,530,330,827,885,678,528,858,056,176,103,777,980,567,346,048,773,
166,613,352,388,462,673,877,285,016,680,812,469,217,264,982,191,662,225,803,
864,784,265,698,614,853,269,586,884,246,041,395,019,570,395,099,780,439,386,
858,335,840,725,988,180,262,683,584,152,762,660,956,408,934,087,633,045,747,
322,658,514,667,633,432,252,528,600,857,252,440,480,511,048,625,243,292,010,
380,958,845,910,858,197,732,537,654,501,910,192,632,395,766,010,055,149,384,
281,554,947,606,877,398,564,763,703,075,894,945,860,950,348,129,384,752,314,
655,568,449,869,525,013,311,941,794,781,858,836,809,934,394,752,910,646,111,
166,842,890,771,229,839,137,529,637,300,430,691,594,973,171,598,763,321,462,
110,223,156,835,287,713,025,885,426,975,290,509,761,727,993,125,701,963,720,
890,378,535,067,405,921,596,366,414,621,967,628,562,697,016,008,290,624,340,
514,208,057,584,228,068,218,210,743,393,059,105,659,783,397,706,182,132,845,
190,984,985,702,501,934,623,468,178,443,123,753,695,751,712,308,224,384,874,
366,404,010,355,278,710,625,697,107,751,848,429,840,312,284,920,084,180,469,
145,681,954,339,480,663,922,559,845,859,915,396,777,811,336,735,756,193,733,
338,154,811,099,245,087,324,233,388,589,823,881,812,137,373,482,521,874,129,
304,541,730,785,637,027,002,579,702,146,935,886,110,622,568,224,099,705,722,
631,955,849,730,248,884,066,920,477,124,110,998,273,977,124,190,973,780,189,
910,396,152,658,458,947,288,912,207,229,254,047,254,355,563,183,040,936,346,
385,903,725,270,478,119,396,022,336,687,884,668,181,258,906,203,842,193,431,
787,440,105,991,522,591,614,629,664,380,641,685,555,598,953,403,149,201,428,
747,292,262,616,706,007,834,664,136,468,953,747,896,709,497,842,374,387,155,
106,092,132,176,669,289,774,900,058,897,556,075,103,910,633,273,496,724,468,
186,406,902,585,408,189,418,113,116,000,858,132,853,984,230,273,405,693,921,
487,300,566,263,756,078,441,590,067,135,262,237,865,977,990,624,706,130,365,
527,495,695,438,867,941,618,809,973,991,385,272,620,977,223,047,646,757,583,
800,216,385,214,419,911,311,916,554,452,847,948,213,869,154,552,931,580,185,
984,403,197,773,420,075,792,839,854,456,309,284,518,554,682,762,306,094,652,
742,531,101,716,720,222,700,348,891,092,500,522,287,195,909,573,603,785,481,
401,170,314,360,902,044,245,102,239,344,165,858,832,044,179,144,355,936,039,
563,793,105,015,630,997,645,220,370,648,132,697,177,272,491,940,554,354,915,
966,842,367,403,895,641,745,523,512,722,715,087,350,343,648,361,653,381,234,
931,206,271,848,261,016,779,093,020,908,048,447,929,889,620,136,455,633,005,
499,064,247,625,301,794,190,388,231,881,156,102,613,898,327,598,763,231,329,
267,242,877,459,903,423,906,177,894,203,345,158,681,476,841,937,887,560,622,
136,228,829,273,250,891,821,777,068,562,497,143,029,611,161,820,018,859,622,
126,290,597,725,143,957,829,268,424,370,696,678,652,057,903,508,440,301,748,
342,268,117,020,864,753,493,344,902,440,467,939,631,419,626,701,445,588,348,
373,219,130,688,693,561,049,636,353,425,143,899,754,994,418,580,390,425,042,
780,715,374,392,261,409,761,889,047,163,285,567,532,133,935,779,742,316,267,
596,671,234,985,534,254,046,808,042,673,989,021,783,740,842,919,309,194,820,
210,492,055,282,100,738,368,400,162,823,117,278,414,538,485,781,555,222,853,
893,572,651,296,083,342,518,653,746,105,901,747,938,409,082,434,016,569,284,
615,495,841,762,744,231,208,844,001,138,847,717,278,888,697,123,410,653,168,
931,576,323,520,290,390,511,851,067,604,956,209,928,780,145,811,845,151,308,
587,761,710,743,529,255,359,985,934,815,266,766,289,061,753,286,938,133,876,
668,070,270,498,689,504,407,301,918,911,513,128,013,887,148,730,663,267,438,
560,894,834,558,067,022,248,867,469,574,663,802,089,682,227,378,736,518,821,
263,289,808,260,202,606,841,008,968,927,064,019,857,531,016,752,023,872,341,
084,975,108,723,125,152,477,412,242,061,302,575,518,870,217,185,541,745,879,
829,134,227,103,477,167,650,067,097,084,945,209,460,722,893,303,247,322,350,
835,196,807,278,914,136,157,269,519,527,404,932,932,497,027,911,165,719,502,
356,307,187,333,986,036,918,651,870,939,765,460,704,515,286,154,814,086,490,
143,505,184,855,417,193,049,873,028,796,375,855,043,262,048,608,867,042,384,
376,518,410,526,272,434,502,749,347,924,763,094,293,811,742,294,105,181,341,
360,068,530,570,882,064,272,724,751,301,998,377,896,398,450,024,416,221,036,
468,235,042,556,633,454,691,263,462,258,935,321,690,135,192,524,220,271,021,
895,172,491,324,627,436,119,116,089,705,616,643,165,260,534,565,344,218,384,
663,849,299,057,677,574,133,396,225,543,231,830,273,862,184,360,440,556,677,
244,255,811,472,285,973,785,438,439,424,086,408,962,815,743,825,130,043,612,
062,642,651,238,137,132,430,044,477,549,029,564,929,427,490,456,123,068,276,
614,327,082,825,591,289,998,552,148,844,580,795,253,680,267,661,107,089,763,
436,150,788,914,434,336,457,493,887,852,381,867,830,043,964,026,824,483,406,
120,552,469,307,579,398,510,894,426,047,787,410,590,502,561,492,427,317,550,
959,960,578,917,949,979,710,933,588,580,544,104,280,981,287,484,189,046,834,
472,292,450,737,001,156,067,141,820,624,032,055,477,960,113,705,943,090,074,
678,471,772,731,516,174,677,264,657,560,150,217,306,781,603,551,201,118,213,
459,252,263,982,902,407,714,338,690,280,334,433,875,357,235,287,822,389,662,
860,620,101,100,938,566,367,897,437,650,968,007,632,534,005,235,620,136,940,
131,694,455,747,639,466,522,948,541,477,213,952,929,199,171,161,788,697,531,
479,911,172,523,350,026,899,665,843,769,227,007,577,187,922,675,101,942,486,
204,098,439,143,948,436,470,116,261,443,095,372,156,747,542,867,932,893,948,
770,478,991,968,962,575,584,698,092,123,930,220,269,458,980,318,930,838,838,
867,340,955,071,473,933,728,817,168,593,918,373,307,420,550,432,637,171,735,
520,574,380,060,812,233,162,305,730,343,246,175,460,565,819,219,626,962,821,
942,546,644,503,760,614,735,450,679,897,738,026,802,379,942,467,395,785,787,
482,031,496,358,671,746,969,940,753,639,261,798,608,829,178,978,130,645,905,
784,495,461,952,048,044,713,020,189,858,001,622,685,263,103,456,216,885,948,
275,221,404,817,877,546,667,720,923,100,031,260,946,365,429,076,623,532,631,
657,344,135,737,048,458,261,156,579,733,423,328,772,214,945,680,062,270,455,
207,298,840,894,933,994,071,207,133,085,760,209,342,628,161,588,407,892,915,
476,608,036,546,437,958,396,873,619,406,439,931,385,656,703,560,392,976,684,
160,147,269,786,868,938,451,612,767,112,266,472,900,701,307,199,457,051,807,
026,459,851,688,458,171,155,363,207,483,517,488,699,380,688,741,031,897,519,
140,016,246,236,265,432,282,734,044,458,095,560,226,847,332,593,968,874,046,
575,600,452,246,627,696,065,230,517,984,595,608,734,038,376,543,758,790,626,
355,912,960,359,153,030,810,437,155,091,620,991,762,704,778,086,794,703,194,
511,324,569,287,298,538,981,461,734,207,628,043,588,510,485,210,841,254,935,
976,031,242,494,913,693,037,043,854,070,842,684,282,119,626,912,810,835,993,
728,001,890,002,996,146,621,955,263,595,853,420,536,638,712,045,514,300,986,
923,879,957,592,085,831,461,555,234,936,116,466,885,791,347,416,340,238,623,
841,126,448,571,386,093,222,642,743,673,492,883,279,751,222,030,626,604,133,
398,924,761,264,261,871,040,899,735,989,313,637,888,000,105,208,363,395,416,
151,439,678,812,356,219,799,823,468,454,497,119,533,517,657,410,334,137,954,
956,814,534,216,945,414,408,839,414,989,367,110,769,609,948,282,786,525,298,
135,616,195,578,846,391,163,338,872,953,849,234,031,210,346,172,401,469,761,
189,945,287,447,859,174,346,440,318,904,733,927,999,961,100,635,825,483,082,
783,222,458,176,814,094,296,903,256,926,325,975,835,631,968,900,154,431,716,
714,356,288,169,025,736,193,825,548,606,652,299,572,473,908,341,100,053,076,
289,226,006,661,235,720,871,220,240,509,760,065,996,466,815,429,368,829,848,
664,067,896,643,044,527,574,130,496,059,873,688,386,852,720,268,239,535,300,
647,138,870,496,940,078,609,273,900,566,618,717,249,693,871,256,222,348,196,
873,580,833,249,235,967,774,000,465,639,653,216,011,011,701,680,483,603,007,
613,496,081,022,713,729,552,183,464,441,976,444,892,381,129,322,872,985,812,
013,621,713,745,767,310,086,336,855,953,622,503,016,090,802,775,091,014,259,
871,425,517,833,447,202,161,306,849,850,401,881,115,439,441,000,445,362,903,
714,439,177,953,700,834,906,456,594,804,128,694,831,214,674,675,547,938,549,
098,733,950,119,067,482,896,363,118,334,960,576,262,790,240,916,526,559,374,
543,219,601,695,749,356,016,434,479,140,641,947,855,551,155,860,932,017,547,
538,526,084,855,893,737,294,888,780,474,518,679,076,554,081,641,296,745,178,
512,281,839,923,966,091,062,767,075,809,735,003,289,449,598,074,193,042,160,
715,033,805,802,833,958,224,281,907,384,879,113,570,573,000,805,493,711,323,
680,030,727,058,699,892,976,655,782,796,708,880,459,798,706,657,339,003,334,
273,313,515,766,457,981,758,864,174,476,325,636,843,510,510,691,902,281,086,
178,024,397,421,427,232,317,817,131,514,244,732,186,796,082,427,743,623,834,
030,176,811,930,089,740,852,274,651,480,609,812,916,530,900,249,806,660,501,
373,424,366,949,846,395,827,100,331,885,116,912,971,019,919,385,623,734,956,
104,751,324,497,004,963,436,862,767,547,592,865,516,332,660,034,313,320,355,
791,680,345,041,635,900,952,809,456,371,393,593,943,595,360,345,942,876,908,
813,000,959,836,977,432,545,915,674,055,974,728,555,752,232,568,871,084,433,
229,239,668,540,433,209,666,144,763,773,975,090,305,193,443,757,639,926,164,
191,465,315,750,589,699,024,000,660,421,864,077,587,965,065,129,416,248,056,
185,510,296,991,321,152,440,833,542,845,189,399,742,724,922,798,493,912,773,
513,252,903,065,616,894,959,631,249,166,056,606,174,420,799,335,226,311,442,
538,827,382,975,979,934,058,773,278,599,073,762,215,724,307,491,788,724,939,
408,484,554,174,348,926,049,422,233,833,794,621,920,152,957,271,290,478,492,
607,202,892,249,166,435,178,427,935,213,348,002,144,429,916,300,545,202,252,
272,509,528,873,276,925,850,089,659,645,828,031,120,850,754,570,660,677,991,
353,692,587,490,979,084,565,583,786,232,654,955,307,184,979,962,327,339,886,
521,715,959,864,199,390,160,513,160,145,463,315,280,248,280,324,423,800,597,
195,998,538,745,812,796,745,235,997,806,008,739,530,190,100,569,252,179,034,
755,250,227,842,504,589,918,667,698,698,160,018,633,217,305,934,532,102,021,
595,834,517,922,721,391,525,112,476,235,577,035,652,919,084,024,152,196,782,
985,311,798,714,252,163,833,945,326,201,624,217,490,371,023,265,432,729,303,
327,666,724,718,961,431,771,127,948,678,041,600,466,838,383,216,696,777,604,
379,112,727,206,688,872,938,858,520,934,427,519,194,273,540,473,968,711,850,
458,420,806,604,596,668,636,205,663,836,642,372,019,077,647,849,025,535,149,
664,868,444,405,211,278,601,417,562,830,920,209,726,442,664,246,601,178,599,
602,214,650,094,684,661,780,144,935,525,433,799,688,820,717,752,435,701,347,
308,431,518,697,587,266,458,946,492,740,989,695,458,300,327,631,147,669,781,
018,586,997,992,399,521,450,314,089,412,606,876,095,833,620,419,675,862,811,
689,984,301,477,796,869,723,881,825,520,648,854,594,450,690,226,190,040,121,
333,400,032,482,706,591,178,793,852,274,855,411,706,949,819,092,163,476,990,
362,159,449,183,611,263,534,719,616,041,775,218,607,367,607,334,539,672,684,
797,104,696,947,298,988,860,480,461,751,377,116,867,618,045,329,464,874,362,
797,744,908,167,114,645,287,055,835,189,597,199,932,850,574,539,528,871,743,
451,813,147,668,056,464,455,237,938,387,686,293,384,122,989,465,551,641,790,
483,567,017,312,193,760,247,025,501,833,548,333,883,886,286,269,490,495,618,
083,551,289,305,700,310,841,632,947,891,012,361,812,881,346,089,176,945,994,
774,961,729,953,174,416,509,409,279,851,515,593,264,657,400,592,171,997,991,
062,530,067,083,151,672,639,687,435,929,581,320,634,131,193,587,025,079,050,
329,822,161,766,814,881,781,810,401,569,347,909,040,294,279,165,193,414,228,
574,469,297,228,955,362,277,195,636,205,502,479,368,958,610,006,819,068,023,
545,031,055,772,596,437,121,330,281,802,158,750,840,184,422,997,307,964,828,
882,689,140,621,888,751,612,471,946,015,642,154,583,073,491,752,595,761,716,
485,796,898,763,658,471,161,109,217,026,689,534,089,808,455,013,399,298,272,
625,157,766,357,886,721,139,150,219,092,873,013,528,627,924,782,303,440,513,
681,287,912,749,055,998,734,254,697,088,145,146,805,769,687,028,784,012,284,
079,561,061,696,440,368,051,715,296,772,529,434,587,078,655,567,027,394,541,
265,731,741,623,575,604,053,285,567,547,009,405,692,269,157,761,057,337,513,
647,447,835,107,293,027,777,715,957,222,990,947,272,951,940,757,650,698,905,
137,113,564,035,699,358,749,400,912,643,023,178,989,614,513,587,851,710,110,
224,595,529,933,116,742,377,091,584,324,733,470,881,178,458,039,592,376,006,
058,585,586,377,521,465,605,419,971,944,688,274,650,146,218,780,248,979,322,
628,936,540,766,850,031,407,251,922,419,867,787,333,478,807,352,560,952,708,
434,183,165,302,333,650,012,904,370,667,695,276,905,735,324,305,382,403,426,
407,761,459,665,433,816,215,359,078,876,271,945,918,342,742,826,907,879,421,
723,539,255,964,756,626,837,875,289,780,626,977,985,778,651,298,452,892,484,
590,215,501,186,327,639,611,899,060,563,816,026,220,429,882,629,173,447,681,
304,517,072,990,500,202,952,577,929,613,328,353,366,303,784,545,920,185,593,
463,888,508,053,983,099,840,777,318,665,051,789,120,269,775,576,811,791,223,
573,675,731,001,286,029,470,773,669,197,042,507,211,085,356,276,979,954,112,
543,519,269,746,826,842,693,406,993,290,230,453,752,702,596,537,111,094,749,
101,718,113,196,315,394,501,670,003,859,361,532,865,385,393,783,578,249,815,
351,378,185,596,707,362,969,951,635,484,138,403,979,604,772,290,816,744,732,
045,108,075,962,462,711,880,424,631,751,891,910,366,286,771,976,845,917,429,
667,700,230,493,503,117,133,406,044,423,332,286,976,273,833,921,029,735,309,
856,727,492,446,064,477,896,459,468,499,779,321,287,466,251,002,284,671,693,
077,272,792,611,396,815,248,735,185,287,615,891,818,318,487,169,613,908,976,
191,094,770,058,763,458,484,872,874,455,704,171,582,006,180,846,990,404,498,
534,840,175,818,422,242,757,295,136,410,060,980,478,131,615,542,408,622,680,
622,102,257,336,046,450,632,671,488,903,343,908,978,696,742,990,639,842,158,
189,025,453,309,657,069,423,582,956,822,350,857,141,343,636,613,518,105,747,
323,813,611,706,851,295,477,872,571,602,650,645,485,240,102,657,033,677,326,
941,205,611,322,426,942,550,461,642,232,332,627,160,864,216,887,210,273,478,
301,051,129,128,728,713,151,570,410,279,743,134,435,553,543,043,446,117,603,
224,168,393,485,905,959,152,419,093,430,695,470,250,410,787,986,701,820,823,
375,896,315,842,399,022,653,558,867,960,880,777,353,923,309,174,998,432,047,
975,565,939,200,466,177,494,753,196,208,309,556,632,026,813,878,345,702,883,
274,356,865,050,650,394,414,724,236,172,676,559,548,800,750,561,669,904,376,
695,650,597,581,518,465,851,999,943,909,825,160,474,320,131,614,218,237,328,
692,333,862,878,810,620,968,229,905,582,429,568,834,878,320,719,056,411,287,
295,116,747,308,837,214,932,635,356,278,841,767,301,789,801,932,698,648,601,
728,637,529,137,013,282,630,149,448,618,274,602,067,289,626,297,238,839,227,
201,204,440,249,693,602,994,753,307,728,957,033,179,200,566,673,666,816,214,
508,539,343,986,040,044,621,686,114,352,160,661,972,582,037,855,812,014,719,
341,022,679,002,280,776,574,427,790,693,333,380,665,974,923,023,795,053,050,
852,943,597,824,356,168,993,809,912,943,514,580,049,639,281,439,349,585,892,
614,817,083,700,945,248,496,818,370,164,593,831,792,186,136,076,019,460,770,
478,679,041,333,030,949,161,392,492,148,040,472,385,185,660,873,599,898,884,
214,330,378,858,988,806,395,158,455,600,091,106,683,994,215,236,242,739,417,
905,401,599,548,308,059,799,664,074,885,855,058,336,754,193,472,575,239,108,
698,412,102,053,820,480,037,262,076,781,319,028,880,858,569,366,984,394,811,
989,836,753,880,168,183,007,246,704,875,036,675,695,689,144,161,903,153,985,
300,033,837,033,045,320,415,877,859,953,022,050,660,675,947,630,926,735,928,
408,952,825,012,635,314,166,634,647,270,398,344,004,779,615,592,290,338,091,
608,505,270,062,732,188,769,037,311,116,760,717,209,656,679,509,797,550,283,
631,464,453,615,237,610,840,188,370,198,234,124,881,676,301,758,079,998,048,
535,618,608,656,815,148,541,617,271,896,939,382,417,974,555,029,688,584,420,
752,322,222,106,999,144,294,017,479,350,821,263,176,022,051,148,159,395,716,
269,767,712,999,834,269,598,626,387,977,739,861,401,122,126,396,197,051,475,
070,991,928,374,141,250,896,930,111,659,145,031,001,341,369,623,938,533,906,
322,002,380,836,479,784,074,354,536,185,978,559,847,605,754,981,516,701,514,
496,649,581,252,665,614,330,722,347,923,881,656,256,182,521,403,153,974,980,
617,259,500,374,917,477,898,346,502,002,045,642,880,423,781,434,604,105,596,
772,313,220,897,254,889,439,960,361,223,451,512,888,730,237,483,583,846,112,
346,126,373,912,903,097,355,493,013,155,145,169,215,060,777,344,630,709,760,
921,697,228,034,346,526,198,011,960,378,320,883,552,925,661,096,478,004,181,
036,998,133,628,379,100,936,022,578,469,020,050,361,227,901,778,770,368,908,
594,154,015,170,344,908,220,890,888,209,850,054,564,267,361,362,967,953,052,
386,138,468,950,524,318,440,614,032,953,476,879,669,294,409,437,300,195,865,
011,485,521,009,822,945,427,415,566,822,450,185,114,197,892,561,753,135,641,
417,112,849,599,103,704,886,609,165,695,918,262,572,457,053,779,040,045,739,
221,019,318,363,759,448,412,241,005,910,475,148,052,840,979,603,786,743,883,
015,075,538,425,096,455,168,465,501,767,519,811,987,243,970,297,459,282,700,
207,937,143,157,568,312,232,949,410,590,240,874,364,745,119,281,321,934,513,
545,508,653,953,969,013,337,217,184,576,625,772,428,885,203,519,885,536,083,
234,076,939,678,614,209,385,117,003,351,965,854,257,106,063,143,298,152,608,
386,436,879,228,904,167,481,342,299,408,928,381,890,108,603,811,413,197,607,
280,989,939,757,142,568,474,282,971,559,315,356,014,081,886,239,880,001,749,
510,308,517,851,688,514,964,146,754,284,355,327,607,964,220,089,181,807,274,
257,061,964,161,818,361,394,492,533,195,415,061,436,284,619,782,373,525,557,
065,497,665,876,746,850,495,184,383,969,421,690,191,527,042,048,963,343,470,
797,985,921,353,648,592,022,461,117,395,604,574,041,253,276,118,971,463,205,
054,949,768,133,463,493,029,399,730,523,667,298,590,034,494,460,089,875,751,
506,595,588,081,847,419,837,932,525,658,975,665,677,300,728,817,252,642,756,
842,440,768,972,928,886,395,704,258,195,322,551,568,012,310,905,395,738,652,
865,446,458,106,287,583,776,688,580,296,879,167,781,981,228,916,558,364,706,
854,522,955,344,322,241,839,571,815,260,712,908,434,045,691,860,332,887,786,
150,524,614,490,813,005,102,669,684,744,533,039,607,495,774,935,235,890,570,
726,354,593,095,888,073,903,754,597,373,202,448,586,592,273,642,605,238,294,
618,690,425,182,108,963,787,101,996,344,369,074,850,252,833,940,273,353,430,
548,803,313,204,372,320,712,331,674,839,188,410,612,248,716,608,848,203,487,
570,712,642,991,380,696,034,020,044,827,807,730,995,425,131,016,709,393,160,
379,108,744,093,334,568,377,085,694,559,161,967,790,249,566,984,304,447,574,
583,419,907,813,299,926,423,944,407,312,216,296,842,281,241,720,166,421,146,
226,319,027,269,428,512,611,732,014,685,437,513,200,746,968,666,915,589,690,
260,728,269,804,819,600,414,208,838,569,813,648,443,520,028,357,916,392,083,
356,067,820,274,410,757,407,066,167,320,713,121,220,975,910,543,734,757,990,
647,519,462,467,289,856,704,072,223,576,216,433,274,048,165,131,045,734,998,
286,411,057,482,698,645,487,797,876,387,268,905,851,725,389,236,888,483,915,
873,103,949,155,653,431,690,802,426,208,221,214,069,616,577,469,885,488,934,
885,087,931,910,880,447,819,300,952,654,185,955,111,408,895,905,983,475,159,
429,231,209,228,699,153,021,298,849,502,011,366,871,331,698,915,225,502,297,
534,304,499,298,299,104,327,238,376,456,440,546,524,395,182,299,804,679,439,
745,685,886,715,484,486,495,527,817,905,310,051,442,587,185,714,726,759,886,
985,866,935,682,363,929,329,398,840,355,313,769,549,314,674,824,583,491,474,
005,252,153,723,054,682,743,828,162,577,734,085,918,707,094,985,900,643,111,
857,653,072,020,251,751,351,142,798,437,361,077,793,615,356,289,515,252,834,
522,980,288,106,992,938,351,830,145,505,783,097,386,807,898,443,396,531,764,
674,169,694,201,826,578,375,451,155,733,320,555,463,716,134,111,985,396,290,
005,775,103,664,440,505,996,167,215,994,123,009,666,229,320,210,859,950,196,
217,490,832,381,608,476,473,890,100,786,556,203,557,946,275,774,071,223,465,
370,969,100,633,480,251,555,515,166,910,028,490,603,512,477,119,047,198,266,
952,408,901,808,766,924,462,197,669,504,726,494,244,565,440,397,895,115,585,
945,849,587,623,496,605,923,387,114,800,189,634,423,380,069,824,849,019,860,
829,934,045,217,771,055,772,046,740,127,399,769,710,531,029,591,675,838,644,
330,620,028,622,533,514,638,781,117,172,570,552,448,090,930,671,691,149,722,
732,101,416,426,000,187,676,171,120,389,423,901,155,452,724,275,718,695,303,
168,196,182,517,298,479,321,387,279,390,221,310,155,536,783,712,814,781,033,
821,043,786,072,828,275,929,647,829,603,258,789,333,342,089,571,144,695,180,
506,945,377,873,983,233,867,048,047,881,712,997,862,942,290,831,955,094,800,
475,644,858,011,309,891,828,090,659,056,204,359,965,410,112,135,150,530,984,
706,400,583,080,106,881,151,108,418,729,431,237,064,445,063,101,425,213,663,
309,782,752,525,438,200,648,287,898,217,079,706,643,553,197,443,715,664,829,
972,429,418,510,344,225,307,782,595,744,888,322,469,284,993,053,448,489,780,
963,046,865,342,160,273,325,293,526,305,058,162,904,107,095,410,824,824,806,
605,399,362,078,320,961,947,532,130,258,720,990,250,126,039,281,478,348,038,
074,248,681,125,557,155,604,193,898,664,897,013,147,409,834,482,507,707,404,
199,632,782,512,527,363,221,922,648,899,220,339,190,015,649,419,413,637,749,
698,948,892,191,614,639,253,120,625,698,042,768,821,604,077,341,229,936,092,
944,415,851,843,205,382,175,455,994,116,729,384,099,405,073,868,291,926,288,
373,493,844,965,323,829,619,124,316,767,225,702,173,020,284,476,025,713,876,
805,916,639,056,876,638,235,660,910,730,094,869,260,918,039,083,930,540,120,
481,284,824,569,001,704,398,949,002,516,915,809,200,059,743,206,796,418,628,
703,439,044,200,724,023,749,242,224,829,904,530,055,320,576,685,489,092,908,
387,924,731,445,082,700,221,456,533,833,517,566,243,316,289,824,669,950,531,
320,793,987,823,989,316,367,047,628,768,500,011,103,931,777,178,661,585,140,
864,815,823,130,277,758,089,633,352,667,813,734,299,523,158,418,586,992,762,
193,920,160,768,450,566,414,069,044,320,347,824,443,215,841,491,226,924,902,
680,764,192,362,449,041,072,659,262,997,211,463,974,125,206,870,730,982,766,
736,535,091,877,010,548,228,334,937,887,998,289,389,329,192,112,921,756,964,
946,528,142,872,331,786,364,425,018,819,897,965,214,105,294,054,029,254,725,
352,723,841,490,457,506,645,466,703,739,270,981,886,832,709,020,001,013,431,
173,421,813,331,418,359,867,090,127,229,030,488,060,879,252,713,002,180,130,
450,536,042,507,391,047,519,452,013,435,369,810,403,070,068,536,415,924,944,
757,130,506,452,900,203,983,946,089,322,552,364,074,845,854,999,591,825,558,
114,492,071,756,737,168,526,014,300,416,789,079,970,035,689,184,141,057,574,
125,553,905,652,228,309,071,857,043,304,352,338,709,899,234,242,708,381,818,
960,596,234,750,545,624,212,447,516,480,636,325,854,453,578,723,544,899,557,
064,315,450,157,490,474,955,076,539,053,620,192,403,912,423,462,597,002,016,
603,022,494,993,975,547,923,151,201,172,733,496,029,344,336,445,766,171,193,
651,762,683,665,669,259,779,432,890,560,312,610,029,412,365,381,645,318,876,
392,395,383,884,643,810,909,876,105,717,575,385,453,367,687,327,021,832,228,
295,509,445,061,194,210,037,732,114,590,806,102,272,058,526,586,251,838,574,
562,074,616,759,484,679,765,254,666,983,302,145,439,418,802,184,982,498,472,
647,494,718,920,241,443,674,008,937,375,726,010,938,443,475,585,287,065,169,
069,870,963,355,895,675,374,194,869,351,342,950,137,329,598,536,913,262,844,
225,964,797,255,060,437,514,498,696,148,364,924,605,520,178,918,561,118,105,
601,935,708,939,646,600,982,088,426,279,847,082,282,777,273,926,210,937,229,
140,529,421,893,375,573,443,172,743,526,590,552,078,183,884,059,274,687,358,
833,215,208,619,191,824,371,787,730,801,721,772,383,858,571,418,540,603,374,
779,645,873,382,278,650,484,720,832,228,993,792,995,442,314,027,086,698,975,
470,128,255,489,965,566,540,149,458,925,374,690,362,792,518,794,119,159,361,
133,271,281,772,075,783,597,313,587,895,934,859,009,811,990,863,786,852,367,
373,085,421,748,235,124,719,691,543,103,312,738,684,562,110,668,118,229,518,
206,218,863,444,066,677,747,070,748,899,631,367,269,256,308,306,993,436,434,
398,363,375,947,176,643,555,838,750,250,484,691,735,590,997,330,708,999,135,
891,192,029,353,027,536,649,814,339,176,313,297,816,777,993,810,307,952,562,
425,671,368,223,758,987,256,058,294,868,309,014,924,015,154,027,609,319,614,
741,868,893,706,059,899,488,057,948,450,700,041,407,153,569,125,178,451,981,
352,056,442,475,804,821,955,517,800,731,849,728,049,002,935,814,541,512,352,
048,822,254,355,647,742,157,054,400,587,468,209,450,197,132,320,634,663,471,
785,945,143,238,838,764,195,494,949,763,125,254,974,395,564,841,166,307,863,
560,395,188,408,740,670,520,602,547,769,990,765,480,930,456,614,190,114,682,
583,938,007,577,014,938,909,984,374,101,119,055,991,637,483,400,027,772,493,
682,324,076,381,283,599,557,724,559,039,769,541,253,612,855,266,387,974,624,
908,177,174,559,152,692,062,947,405,015,886,960,300,851,264,470,553,567,826,
603,152,728,809,784,075,442,020,980,567,653,047,154,369,896,189,541,425,736,
182,440,870,276,213,671,426,071,234,862,014,040,587,678,911,597,798,079,581,
545,406,104,716,469,152,977,429,405,451,058,636,230,244,825,676,702,178,864,
354,875,502,710,619,413,739,167,856,536,908,233,757,047,582,677,093,344,501,
963,435,501,595,058,064,217,960,178,836,271,244,018,905,431,413,227,019,798,
092,292,378,157,193,384,477,375,638,718,871,285,987,857,251,372,711,751,165,
475,313,535,582,564,829,346,008,008,776,348,086,686,661,943,390,326,251,131,
706,668,560,394,665,064,844,026,685,520,991,285,998,985,711,906,774,613,281,
508,120,311,048,695,320,069,996,619,438,152,627,057,519,260,622,179,787,277,
041,271,885,285,474,814,155,949,107,534,194,287,154,339,374,165,499,513,732,
720,545,173,775,426,232,142,465,512,485,490,118,847,532,062,680,192,122,447,
282,190,164,751,644,374,196,858,056,250,618,262,464,501,199,577,563,170,797,
464,145,375,028,411,843,188,295,903,331,163,504,891,138,452,841,997,017,136,
806,264,383,324,891,095,062,213,808,282,695,027,497,855,434,391,433,757,361,
403,435,806,376,975,827,588,058,550,196,477,141,465,516,348,786,669,471,429,
668,189,090,378,774,714,020,121,135,309,274,954,982,734,105,388,377,225,937,
617,973,385,639,315,682,107,794,929,129,308,521,232,614,406,190,048,147,695,
557,222,435,773,914,601,074,050,163,437,664,481,858,558,053,998,754,082,300,
581,755,398,199,279,053,302,082,678,884,002,875,984,702,864,811,164,024,462,
902,575,505,159,185,559,248,663,205,435,268,032,357,510,469,287,613,130,757,
824,486,884,860,904,922,123,481,388,705,298,323,722,444,392,746,865,321,377,
281,859,818,575,662,052,681,441,956,163,797,318,380,572,519,388,706,358,044,
811,576,009,796,255,887,298,366,838,298,452,464,456,313,894,862,387,940,605,
880,733,315,448,773,336,413,507,779,577,905,029,685,379,041,042,464,236,436,
397,899,081,438,784,569,273,022,116,231,851,205,991,773,753,981,616,161,423,
748,446,664,703,634,392,091,901,486,427,300,165,687,015,201,836,607,763,631,
653,337,599,623,404,193,128,844,925,547,777,803,200,465,493,253,223,836,485,
210,850,966,943,014,405,212,545,087,720,745,790,139,068,375,973,194,008,581,
934,657,165,220,853,642,866,496,944,868,094,767,707,136,238,278,156,471,798,
409,490,205,802,337,075,273,819,185,987,729,051,625,796,673,791,166,038,530,
420,315,808,827,993,381,215,975,925,840,369,334,648,644,590,603,387,483,479,
946,583,694,422,660,732,191,282,162,464,985,218,020,223,510,108,106,217,911,
862,238,077,585,953,643,422,687,963,638,788,542,056,369,472,327,115,951,510,
648,559,330,816,062,087,062,930,381,581,738,601,534,631,530,378,824,438,807,
749,231,205,942,047,329,588,154,205,550,206,623,580,524,153,915,912,386,463,
088,054,602,904,520,436,138,014,485,497,459,517,824,270,569,068,028,800,275,
321,659,040,638,283,565,442,382,380,440,456,220,634,834,371,711,317,314,477,
839,302,431,425,020,062,089,632,151,311,917,069,945,867,603,840,319,305,586,
064,843,972,404,089,324,817,916,424,154,863,475,779,385,316,638,936,685,792,
629,170,016,965,454,040,079,002,360,306,469,336,259,692,647,049,041,540,035,
848,851,278,325,525,898,008,227,760,418,528,057,152,984,109,707,524,476,921,
435,011,867,007,664,385,366,363,371,517,364,879,753,729,088,411,174,705,627,
827,304,034,478,913,788,912,991,021,547,158,634,691,136,412,550,221,224,378,
677,029,029,713,420,027,583,852,442,079,418,876,036,939,249,226,933,916,880,
699,265,931,224,109,202,899,442,511,167,446,007,375,683,356,989,437,185,199,
711,708,943,655,142,590,544,052,739,557,151,049,593,160,440,973,121,309,843,
438,070,415,537,254,719,687,220,085,468,987,213,840,094,908,928,662,461,273,
916,521,656,647,199,389,652,965,945,799,537,249,007,740,078,717,758,747,884,
586,998,839,867,083,607,508,395,020,573,716,395,216,881,109,413,888,317,720,
813,742,047,085,615,209,092,543,588,942,233,699,181,903,745,239,019,337,672,
383,016,326,056,008,830,971,128,220,112,734,804,252,281,018,493,656,254,718,
495,547,809,850,202,984,775,173,220,749,881,707,682,793,343,922,635,215,383,
577,278,670,932,918,736,435,155,110,038,134,205,785,089,356,264,576,150,656,
893,496,985,650,799,121,435,753,715,294,249,741,175,267,894,129,333,745,477,
102,840,762,922,192,020,968,016,776,770,144,871,267,220,807,119,707,564,267,
252,147,448,260,407,751,098,027,499,603,513,706,551,022,592,470,625,670,089,
291,767,704,450,166,026,164,906,770,257,956,569,963,768,955,754,006,841,961,
169,993,158,763,279,982,397,731,862,073,595,761,187,620,910,707,276,914,312,
247,569,981,531,366,324,564,005,557,688,086,631,270,222,057,739,269,234,122,
497,333,850,867,653,307,462,188,950,271,403,852,960,954,341,735,418,804,493,
384,551,327,300,223,642,467,431,793,358,282,995,470,090,378,001,922,454,883,
823,191,083,704,153,376,433,752,509,827,204,894,136,259,874,068,990,386,802,
584,186,012,487,324,763,691,488,387,670,798,481,912,946,601,821,224,484,770,
688,806,711,401,613,655,580,399,475,722,705,007,461,146,354,541,516,668,395,
035,327,930,049,380,022,734,593,227,625,552,836,893,229,931,116,629,448,167,
296,222,322,390,850,990,303,376,029,009,469,942,344,392,110,590,080,503,066,
258,049,007,762,500,011,786,771,040,505,043,191,496,429,211,364,091,008,965,
833,238,653,600,182,390,251,783,816,770,776,246,296,868,265,593,107,952,238,
794,576,148,665,459,022,241,193,856,500,185,649,098,872,077,553,260,235,988,
495,597,729,127,968,962,820,562,251,658,202,391,975,023,756,784,263,860,884,
751,894,313,534,845,501,770,442,133,421,018,562,783,744,649,324,840,376,376,
763,795,747,821,703,726,334,623,941,982,887,112,018,904,455,884,442,816,724,
941,819,363,984,151,920,964,516,612,799,007,482,278,167,532,886,696,332,087,
088,015,981,303,395,965,178,349,747,417,078,966,531,650,351,332,343,446,863,
796,606,888,437,003,666,690,564,025,081,216,877,406,121,344,927,512,530,579,
193,748,223,154,928,683,487,287,278,049,454,556,757,267,248,331,455,064,890,
943,906,248,831,735,616,788,169,197,407,259,736,355,888,876,767,894,824,337,
448,524,931,557,296,836,894,422,272,380,703,786,519,571,612,874,259,204,063,
838,454,837,176,186,880,132,630,952,148,541,534,028,922,691,415,817,094,608,
213,206,614,478,821,159,437,592,079,860,454,647,597,062,652,952,490,697,204,
386,770,554,660,370,584,716,806,247,571,237,074,863,159,882,574,716,538,650,
859,194,370,261,538,238,519,922,634,781,077,897,710,539,312,890,686,524,645,
719,828,343,186,780,417,989,215,486,348,988,416,296,346,535,450,808,559,568,
382,296,982,425,404,844,971,116,213,494,663,021,532,079,676,217,416,256,983,
610,390,399,691,714,645,236,323,241,836,832,917,142,988,907,232,674,869,193,
961,172,584,945,084,136,974,682,410,333,723,870,051,489,084,534,998,936,743,
967,017,787,367,354,785,530,577,569,753,343,275,428,198,459,578,285,629,094,
634,789,660,387,241,546,379,324,060,278,554,850,102,496,477,412,116,311,119,
353,996,727,138,138,247,882,923,787,402,276,849,533,727,064,435,754,014,161,
074,313,740,571,007,832,959,598,351,632,361,469,220,222,941,879,404,625,286,
293,746,768,917,341,010,621,605,486,140,142,291,205,174,323,631,174,133,434,
641,102,702,795,957,698,417,364,009,458,099,393,446,938,795,325,243,017,279,
119,644,499,172,546,933,469,764,419,844,130,043,009,847,394,757,201,636,537,
877,509,888,095,990,401,849,790,274,140,376,856,308,472,105,027,383,259,828,
800,131,657,647,441,434,289,761,700,832,941,670,160,012,232,089,692,303,601,
062,981,609,938,273,274,823,109,162,120,240,306,458,820,234,394,966,677,891,
680,635,451,045,607,120,735,064,934,877,591,838,676,698,464,669,439,986,983,
785,468,298,283,619,635,963,013,788,291,484,939,872,742,205,456,877,072,310,
503,801,503,699,759,286,022,149,023,677,275,602,367,076,447,103,688,698,154,
193,114,307,075,302,850,121,913,755,655,914,697,232,846,595,988,762,407,125,
660,679,443,600,574,171,930,282,784,950,378,987,775,614,847,541,879,398,041,
722,088,846,909,417,749,043,835,503,573,446,244,279,114,954,279,449,347,710,
079,520,841,014,511,073,636,775,365,467,854,003,218,334,938,848,387,427,331,
307,975,035,335,897,839,256,531,374,838,424,095,814,372,368,664,634,148,484,
333,987,300,643,683,732,003,013,388,269,438,553,000,281,316,785,278,788,190,
586,254,244,359,416,383,241,048,913,434,246,673,737,759,626,618,888,351,029,
945,459,473,622,416,132,192,084,242,962,651,019,469,676,266,844,249,668,599,
560,359,953,294,943,370,836,403,090,516,096,282,113,459,338,460,881,903,537,
948,953,483,038,134,857,178,192,993,913,023,294,021,797,800,700,991,379,718,
697,365,552,269,249,949,237,610,198,701,381,984,369,097,827,867,996,034,475,
444,400,271,194,014,389,094,297,766,382,928,745,517,842,361,695,881,366,242,
147,249,159,750,851,332,923,071,478,362,080,587,882,927,977,175,129,523,255,
345,558,360,307,750,098,467,480,029,860,197,166,855,317,923,085,818,595,083,
111,036,231,536,295,484,682,059,569,087,172,658,006,061,394,179,838,010,258,
791,990,837,521,782,839,428,807,909,746,500,965,067,284,146,799,243,197,020,
511,025,455,245,065,266,738,146,070,055,677,256,685,151,611,176,664,045,731,
790,138,803,349,482,194,072,672,296,267,020,440,144,599,603,653,437,979,250,
603,086,558,641,033,726,317,526,538,072,534,479,126,522,942,036,257,315,214,
977,441,649,943,672,143,905,934,422,130,085,135,153,520,328,927,538,606,982,
366,924,596,453,730,549,395,261,509,368,044,583,008,329,349,104,217,796,836,
826,813,671,713,560,294,363,200,527,442,585,989,679,434,257,581,310,523,226,
309,606,418,481,933,931,297,847,926,301,270,465,341,924,803,073,192,091,450,
178,462,784,955,898,908,549,400,138,799,958,826,539,223,383,824,529,702,474,
876,761,621,879,164,756,976,492,628,215,546,060,089,729,259,795,933,426,491,
817,923,507,319,435,668,484,368,574,883,184,884,614,771,175,858,614,816,293,
169,120,116,019,008,220,186,762,344,960,671,253,094,924,547,973,691,158,890,
227,012,288,725,360,894,493,402,917,207,727,471,578,820,238,275,129,443,975,
041,063,090,221,449,475,828,344,373,585,204,255,231,881,380,846,806,982,325,
536,333,412,706,504,359,322,151,106,066,827,809,831,067,671,995,286,253,102,
539,973,886,262,354,384,364,316,116,608,261,763,158,617,136,168,036,985,066,
444,600,264,299,513,901,826,287,239,403,096,596,638,009,334,507,436,872,851,
550,599,770,372,216,159,407,716,996,942,951,360,247,225,107,079,472,131,993,
172,947,516,027,196,923,010,934,799,868,200,026,699,307,820,604,568,681,904,
973,187,260,864,120,477,741,020,941,242,484,311,028,894,490,537,152,570,991,
655,626,364,380,433,710,005,829,864,720,777,436,935,111,085,277,117,155,804,
138,788,100,851,687,335,465,693,522,944,857,653,939,332,784,788,726,969,982,
254,311,185,938,126,770,720,692,527,268,425,898,259,936,743,684,267,460,767,
973,016,253,225,885,631,185,529,981,068,910,498,908,271,787,855,455,103,217,
495,466,252,270,441,332,676,688,348,502,277,425,488,986,513,892,167,063,981,
904,611,255,621,308,090,027,348,398,928,967,535,714,909,923,492,185,586,233,
786,430,508,922,030,409,336,493,937,696,194,213,509,412,076,299,383,527,998,
055,293,596,620,639,920,440,430,534,207,439,106,330,473,585,978,163,008,256,
903,080,817,893,363,658,225,221,869,757,923,394,915,066,021,384,098,875,047,
266,952,526,885,290,500,120,945,864,325,339,574,469,107,613,883,881,895,199,
844,534,398,840,161,441,937,338,226,040,183,689,210,888,178,815,713,848,228,
154,961,195,116,545,748,481,807,822,024,352,498,380,258,056,494,687,409,108,
870,945,533,589,152,644,476,394,724,602,054,890,615,718,923,150,354,145,748,
690,415,872,680,324,308,697,262,649,294,751,262,001,988,091,497,573,204,231,
794,810,895,850,198,675,233,643,598,997,651,090,642,214,644,777,708,415,171,
506,217,014,572,091,532,190,555,173,576,222,007,333,067,832,768,320,784,152,
064,244,263,230,882,611,579,554,811,173,530,749,551,952,430,824,496,717,242,
639,215,748,415,436,626,105,291,717,090,054,241,988,698,481,286,356,861,439,
165,965,818,337,230,939,400,748,255,770,145,786,466,363,440,192,246,356,438,
591,619,803,106,822,427,448,134,607,093,097,390,184,850,170,942,884,104,756,
597,533,640,359,762,856,458,237,416,967,527,021,869,348,330,954,862,789,867,
606,127,418,605,165,377,418,530,999,892,524,511,717,801,328,155,336,317,923,
559,171,832,787,102,137,182,917,983,725,312,789,913,798,464,659,317,040,989,
960,618,931,985,659,261,055,499,703,358,244,605,063,233,620,705,457,035,135,
044,413,641,525,298,988,326,047,498,399,790,501,627,292,850,875,283,720,065,
521,470,723,154,330,978,840,838,922,521,345,808,762,587,681,144,362,046,865,
350,667,760,414,243,121,979,567,814,211,357,463,893,923,913,539,740,798,637,
206,794,987,054,062,066,285,526,357,035,822,008,308,945,869,780,629,858,227,
942,176,573,382,822,925,163,523,875,325,905,294,887,021,127,987,312,723,025,
225,736,013,595,363,662,575,834,736,927,376,454,018,920,485,313,065,903,344,
184,485,212,871,957,610,274,547,129,766,567,188,717,835,998,522,896,745,635,
200,823,752,232,888,028,596,713,236,874,933,890,329,624,493,900,263,754,915,
272,784,392,910,732,429,477,449,029,264,446,003,212,858,873,507,679,532,008,
983,864,882,376,643,076,594,851,362,717,051,385,128,464,331,385,151,558,438,
188,120,226,843,443,893,295,797,756,848,319,336,288,796,472,546,825,173,748,
943,181,514,039,287,861,386,739,944,476,646,897,262,715,708,031,715,789,319,
141,109,279,874,803,297,500,299,171,119,233,192,964,462,916,163,630,227,687,
731,063,128,413,836,488,786,171,166,475,870,132,233,715,518,003,869,700,250,
516,498,676,360,791,874,612,098,214,974,309,960,632,922,354,522,542,445,128,
625,484,941,259,384,125,993,159,613,658,111,981,078,746,326,056,655,674,131,
317,769,794,566,206,838,204,585,983,816,504,282,463,088,546,915,526,617,450,
996,205,241,647,301,080,636,140,915,094,493,610,019,521,071,432,742,748,118,
262,082,244,753,539,160,542,051,091,797,763,485,555,809,312,206,842,834,961,
730,637,476,175,003,388,920,348,603,085,341,024,143,347,208,411,059,290,820,
270,566,247,276,110,826,848,783,814,015,096,863,131,399,144,973,916,400,992,
423,708,621,510,059,593,020,398,743,801,699,587,874,885,778,629,679,827,638,
054,813,121,000,955,455,677,750,984,255,570,962,812,628,817,728,176,454,538,
155,779,155,206,929,153,282,466,243,823,338,239,671,883,500,237,836,192,311,
234,901,391,247,061,719,614,019,315,762,232,264,419,641,059,129,528,126,287,
825,737,643,366,317,607,241,368,253,053,121,153,421,075,949,192,396,276,861,
528,031,367,442,285,047,768,937,897,907,319,335,896,079,895,307,823,325,162,
133,369,406,935,589,337,515,641,947,327,200,252,492,031,823,323,597,519,283,
564,034,877,271,277,190,384,071,452,369,270,873,824,190,447,556,944,538,840,
318,648,376,350,207,119,291,104,308,830,026,715,539,889,596,396,609,148,232,
858,082,975,169,354,786,631,165,395,725,041,436,046,677,660,599,111,666,932,
819,380,625,754,212,629,735,474,038,533,399,180,691,446,721,856,780,299,809,
789,279,829,635,465,725,610,366,469,399,649,355,479,194,095,450,064,871,329,
887,244,930,729,440,608,259,748,882,476,430,221,718,027,723,626,518,232,098,
202,104,261,826,252,328,591,421,446,538,289,170,444,270,160,927,219,039,835,
441,549,242,035,955,605,370,378,474,681,503,940,364,585,060,385,006,561,615,
840,948,913,058,844,399,301,614,799,733,216,997,386,918,085,131,927,091,410,
541,795,771,468,043,208,617,751,351,400,628,058,166,572,435,396,596,794,235,
136,070,404,615,828,223,688,581,347,182,362,822,350,117,656,998,057,022,719,
896,067,438,815,703,148,999,421,283,997,823,267,689,261,156,753,866,468,900,
607,982,590,029,649,157,219,334,644,196,499,883,954,385,926,618,365,915,775,
574,468,817,161,740,097,165,381,896,084,895,480,723,175,348,655,511,844,199,
677,051,280,038,115,127,158,115,177,013,026,373,694,993,579,077,019,274,536,
820,201,048,959,099,305,701,711,779,850,462,056,446,154,705,928,668,509,551,
916,108,545,132,126,871,877,894,490,783,217,985,739,896,277,491,820,686,050,
949,736,950,983,564,833,359,516,064,492,008,157,968,014,369,786,934,401,707,
514,125,875,237,385,834,218,958,899,968,891,478,540,932,490,276,865,478,240,
014,202,074,779,892,014,770,266,315,784,187,722,570,638,451,924,183,618,787,
335,291,305,106,747,422,335,559,917,152,835,023,425,317,532,342,394,602,273,
198,419,409,276,059,321,621,505,437,862,894,837,406,232,187,208,274,729,186,
445,664,048,188,757,809,955,837,992,768,462,664,847,601,681,623,837,007,697,
407,153,019,767,690,527,474,326,799,576,154,069,331,785,052,618,481,657,996,
973,970,323,058,157,797,248,908,611,446,907,126,897,135,836,317,308,277,295,
236,253,108,205,053,376,091,720,855,697,422,778,893,283,803,041,688,834,958,
050,289,024,417,737,730,231,663,980,607,298,788,192,283,444,947,571,136,227,
304,858,957,617,910,107,242,179,299,721,068,520,849,544,623,055,260,642,940,
273,945,999,808,791,661,829,925,116,786,638,405,157,149,168,279,372,966,100,
484,585,664,098,897,079,820,450,008,329,162,894,521,680,361,972,675,469,552,
094,960,006,836,838,584,021,658,234,353,631,103,068,442,161,983,270,361,057,
710,313,917,501,157,609,237,549,860,888,927,616,572,603,614,870,301,566,128,
601,103,170,924,540,883,500,891,646,562,331,847,341,372,162,316,795,061,452,
874,235,364,133,319,291,967,939,395,438,616,986,576,409,772,575,770,686,922,
765,940,571,760,875,636,182,162,742,415,817,278,468,575,146,597,638,026,901,
482,173,541,163,860,404,409,146,802,970,232,330,417,927,530,313,750,472,518,
204,143,441,551,668,922,435,406,808,200,994,980,903,491,029,475,379,395,562,
179,981,712,639,053,597,314,179,289,551,635,323,314,055,597,351,694,834,287,
640,444,317,189,820,172,905,151,294,121,166,306,584,273,003,586,381,802,524,
533,490,624,298,436,600,853,298,872,241,600,802,568,371,713,206,298,268,448,
038,908,352,777,578,811,063,684,523,604,089,627,928,374,274,198,785,369,936,
261,497,596,581,372,407,810,913,654,354,304,617,321,527,577,372,437,840,382,
876,265,524,582,021,273,940,707,635,210,403,553,852,970,873,328,821,069,836,
690,488,651,006,359,664,670,600,772,610,042,816,479,346,531,221,686,606,176,
786,670,194,453,978,525,795,606,657,513,678,388,766,565,079,645,886,809,181,
514,451,760,550,238,758,296,166,997,337,029,586,333,103,066,794,630,702,714,
728,117,989,148,990,042,100,339,528,750,508,040,049,935,545,190,521,290,706,
447,391,213,974,390,299,691,036,166,053,736,087,414,519,796,415,017,627,855,
176,903,648,499,351,327,061,145,086,226,396,300,639,748,120,278,584,751,490,
329,868,824,097,272,526,085,147,717,003,601,187,197,343,835,272,188,647,558,
449,218,255,784,107,678,087,189,618,805,833,569,909,978,690,805,487,139,999,
918,227,668,522,174,550,498,470,385,673,979,763,269,858,094,414,007,472,709,
713,958,044,136,135,214,669,916,116,881,978,528,089,082,372,325,485,202,878,
443,706,502,220,691,192,363,893,930,676,026,282,515,116,393,628,179,805,302,
370,228,542,191,136,773,577,253,063,101,164,950,465,806,675,130,970,311,071,
692,308,675,000,790,153,644,165,202,330,028,123,502,450,055,872,225,664,498,
842,499,693,162,060,748,465,619,256,650,639,417,386,198,739,243,421,945,262,
106,147,423,697,312,003,415,687,132,237,741,733,459,099,527,879,981,606,611,
354,956,729,897,647,380,205,274,804,055,220,073,812,045,520,025,154,202,207,
246,764,140,178,381,598,829,203,661,355,944,681,580,434,947,309,270,988,065,
805,553,260,653,451,393,200,677,155,585,448,356,331,014,353,932,194,759,937,
559,958,641,087,733,590,862,512,120,284,410,457,981,166,412,617,198,945,327,
447,998,414,478,115,246,023,640,825,485,151,397,558,667,500,811,200,125,851,
015,569,090,267,993,786,493,767,461,830,840,024,281,209,369,554,302,969,520,
699,311,122,622,998,472,811,487,883,219,634,965,175,451,676,355,325,491,704,
401,647,470,400,002,622,782,247,048,523,514,493,404,599,205,554,906,348,217,
078,176,465,062,005,816,673,705,877,574,644,577,569,327,087,477,471,187,707,
175,700,075,961,570,219,791,842,879,772,463,661,079,548,072,803,123,341,082,
082,988,107,606,737,680,590,504,375,180,972,285,474,506,135,121,411,212,134,
835,433,340,376,555,378,531,032,430,860,993,172,140,653,555,260,713,174,788,
405,547,588,915,123,008,238,831,734,826,192,982,703,750,783,945,400,229,616,
661,887,756,744,087,352,811,557,240,403,104,079,944,859,309,984,304,044,184,
481,582,320,600,570,487,698,686,292,554,126,708,702,092,989,909,556,560,427,
742,928,204,447,777,651,624,084,422,198,630,137,802,207,725,967,877,947,808,
929,552,044,164,845,995,395,071,368,367,295,957,782,305,721,932,328,375,693,
690,777,758,337,886,078,619,772,815,416,211,411,867,451,105,760,149,931,400,
577,628,435,381,558,426,406,592,772,922,978,028,919,970,309,507,754,099,271,
699,790,164,682,955,601,517,607,463,118,687,313,987,702,118,093,414,403,991,
058,765,940,199,976,604,396,332,979,492,626,658,457,837,476,722,869,486,634,
134,349,928,861,364,710,424,672,789,606,542,052,757,912,763,885,957,459,139,
709,755,091,088,777,768,263,794,694,410,382,380,840,216,654,962,801,001,397,
820,366,938,979,517,867,335,148,152,934,712,791,917,619,496,620,697,389,493,
284,990,744,162,186,677,851,740,414,936,792,079,560,763,553,299,704,220,698,
245,285,645,142,523,587,784,090,100,520,134,743,716,501,740,794,876,182,858,
759,107,418,671,550,180,686,667,818,497,516,484,891,925,005,627,153,506,680,
361,897,591,958,987,585,097,560,091,722,618,112,246,869,132,149,816,073,201,
745,367,866,597,430,115,090,729,986,672,410,699,438,098,546,122,199,977,381,
146,251,616,185,195,357,936,833,023,583,695,953,389,273,605,397,292,723,156,
847,557,745,527,866,402,965,934,011,302,530,634,867,527,216,936,965,098,888,
948,856,280,133,648,362,594,650,024,218,248,584,779,414,806,626,044,516,575,
347,808,946,103,944,054,234,098,743,588,845,466,672,022,308,453,579,545,565,
821,358,431,716,853,459,113,172,133,008,316,466,987,152,905,099,471,445,647,
454,298,604,152,521,699,448,430,329,560,523,670,366,357,852,688,372,363,430,
307,129,183,336,177,514,511,771,365,671,727,542,137,344,581,743,830,953,417,
765,989,027,883,364,941,545,694,752,438,307,560,927,375,615,706,494,863,824,
840,849,751,343,677,836,481,363,102,385,573,316,362,270,453,979,838,376,269,
779,489,472,963,329,297,881,591,863,023,307,269,010,924,227,099,016,974,402,
708,755,923,686,649,351,965,760,920,401,720,755,965,063,415,002,629,312,898,
849,967,457,952,132,646,171,128,453,921,834,336,844,078,849,887,275,596,978,
478,372,094,251,081,363,632,935,958,360,819,782,073,246,979,694,409,440,043,
949,652,077,900,059,774,672,313,633,752,568,020,024,143,968,758,143,614,974,
310,195,339,557,504,199,274,102,131,152,922,794,955,300,989,931,774,590,623,
383,092,364,167,193,247,752,672,086,918,923,685,854,927,848,426,541,784,705,
432,501,902,029,543,160,013,374,470,109,875,732,434,447,188,586,848,078,024,
844,948,815,785,878,313,110,617,770,987,902,121,092,420,808,048,792,884,815,
991,081,633,469,525,182,457,942,511,495,595,331,395,885,372,900,205,070,493,
113,238,302,541,209,912,607,118,988,817,500,056,242,643,414,426,738,871,983,
361,438,957,785,836,549,747,631,070,350,170,158,719,597,828,814,809,863,727,
160,616,804,970,508,074,481,786,990,557,826,451,612,589,755,825,538,364,311,
005,582,770,950,432,397,317,103,412,460,475,031,225,490,304,740,934,333,483,
239,330,085,546,484,528,635,559,314,261,537,256,132,194,806,140,085,016,536,
535,866,865,499,341,151,476,846,833,821,408,083,726,498,066,307,334,533,419,
745,678,319,475,522,390,949,289,295,986,063,242,540,882,543,809,844,473,238,
322,327,167,981,062,794,379,096,124,624,557,257,855,788,359,358,488,075,795,
586,914,548,791,868,125,560,257,310,194,476,669,928,741,407,053,349,881,363,
251,232,934,557,265,520,825,080,071,581,304,190,363,700,633,996,402,953,622,
929,484,959,236,809,639,848,477,692,574,784,876,653,313,978,371,251,895,257,
165,758,246,050,789,184,719,251,883,750,085,949,096,462,005,894,692,278,597,
822,465,121,818,463,296,375,171,616,576,268,087,756,379,469,492,462,137,533,
439,262,946,461,999,298,267,116,638,701,191,925,497,711,219,353,234,810,437,
038,895,040,234,291,948,582,923,979,498,233,530,930,008,663,329,475,841,517,
274,338,500,721,760,385,287,592,389,992,658,346,368,143,825,760,675,804,462,
118,428,915,637,164,848,468,964,872,089,505,420,538,752,376,267,102,964,156,
130,778,104,016,171,706,325,699,325,512,218,845,858,511,744,284,141,371,709,
462,278,422,587,238,707,200,957,914,822,891,012,619,689,494,292,848,921,960,
390,586,944,114,144,822,246,540,819,904,804,230,833,175,046,892,960,848,839,
405,909,114,098,890,995,375,007,150,778,252,677,762,153,316,762,955,200,105,
798,007,211,052,209,341,342,221,149,622,414,296,217,182,334,044,112,102,284,
958,449,988,904,927,271,758,020,313,878,463,284,682,267,423,381,860,329,723,
843,298,281,276,129,535,186,520,984,462,005,430,988,137,904,660,611,923,175,
287,879,537,186,118,361,372,897,032,562,221,770,939,803,622,911,649,082,169,
358,286,879,797,091,158,786,482,421,823,003,327,940,077,829,247,732,468,610,
061,312,723,590,586,672,924,993,380,518,301,582,651,851,810,971,415,523,056,
703,522,623,703,327,483,804,484,922,059,028,697,128,633,337,640,798,538,890,
482,598,077,695,520,643,820,498,815,087,118,115,589,174,216,116,989,302,852,
398,410,179,048,553,985,340,500,898,813,684,192,671,584,515,947,356,448,709,
374,035,837,459,055,694,313,177,218,603,596,802,899,255,627,565,401,562,451,
907,819,542,549,337,884,594,078,006,354,524,742,586,227,385,774,695,982,394,
675,507,084,002,727,485,344,766,148,973,820,900,759,319,579,448,956,476,469,
290,838,795,458,248,323,490,674,594,901,293,154,660,904,435,631,038,292,588,
031,868,198,899,107,911,494,666,316,921,526,555,672,432,345,631,459,774,920,
018,188,766,630,595,920,869,694,285,466,016,339,983,896,816,382,923,012,453,
365,954,481,432,875,921,384,550,290,940,239,529,300,745,096,886,891,486,644,
428,893,816,216,362,033,904,873,017,984,939,451,855,254,607,198,378,758,279,
418,543,742,305,867,829,571,578,677,514,767,646,533,599,697,521,498,228,815,
473,704,472,967,089,973,203,046,352,979,635,833,286,193,983,106,647,834,752,
126,753,713,886,250,844,156,260,576,315,865,837,151,995,759,730,957,128,573,
929,862,826,045,421,721,683,621,246,244,187,077,816,527,062,151,195,553,914,
563,648,810,454,459,112,762,190,414,289,206,318,644,307,011,545,819,569,648,
995,927,057,855,517,909,536,908,384,462,435,846,287,300,837,539,028,985,178,
585,482,199,405,932,022,561,615,149,258,642,263,002,875,462,245,431,042,320,
138,084,713,442,498,916,630,682,799,011,366,451,394,235,819,826,189,630,256,
109,461,519,013,283,378,790,223,421,146,470,611,628,467,294,945,895,909,395,
735,421,840,588,536,834,910,965,656,622,045,223,703,087,708,086,546,818,539,
509,685,899,328,553,472,023,273,064,263,402,514,647,521,389,830,776,228,354,
957,880,155,016,005,603,413,261,230,895,917,090,728,393,070,868,463,630,589,
257,607,195,165,783,492,186,817,485,623,975,791,069,548,013,933,460,847,365,
007,840,224,153,392,048,818,533,828,964,750,657,691,525,868,585,494,805,140,
413,029,108,257,358,516,379,854,324,283,983,661,810,564,537,752,777,718,197,
088,028,514,154,548,755,430,331,926,510,947,733,042,501,889,189,024,025,901,
529,975,422,383,653,695,789,448,936,868,329,125,895,614,133,176,963,075,575,
159,349,513,604,463,980,801,748,134,897,515,222,909,723,847,850,866,862,978,
349,515,439,219,627,378,714,073,266,356,184,610,747,412,569,462,578,862,299,
565,668,381,447,965,115,996,947,330,168,353,955,921,481,496,416,387,000,295,
538,373,329,980,884,786,322,870,862,137,575,564,974,648,657,838,332,417,510,
589,620,707,086,653,818,514,677,592,387,538,011,592,110,255,750,516,824,206,
070,303,568,712,601,429,391,001,200,166,596,084,625,538,267,701,781,359,401,
282,541,216,986,205,971,312,922,273,030,711,166,583,243,315,551,305,581,480,
739,160,327,228,913,452,850,692,593,549,015,216,304,781,145,919,797,101,200,
965,650,458,964,062,899,463,173,189,924,339,783,481,713,814,871,001,284,237,
471,614,103,879,462,375,066,734,948,778,375,601,108,253,032,945,857,549,709,
019,435,803,763,673,870,350,464,222,440,613,404,978,237,824,176,402,656,790,
871,001,421,542,858,405,111,697,659,321,680,143,326,561,175,821,898,967,113,
182,821,126,727,593,094,049,890,321,460,599,635,911,370,373,163,901,496,132,
247,555,964,488,009,866,307,974,469,261,570,805,082,385,962,916,509,171,770,
101,530,906,161,312,628,098,881,226,794,129,055,926,833,354,208,464,402,657,
320,663,008,104,913,281,289,474,621,906,682,387,221,976,341,603,626,758,407,
914,780,053,459,371,810,595,394,441,246,204,847,110,649,759,462,010,222,982,
265,284,662,632,961,563,797,542,874,980,060,516,187,191,609,571,169,174,792,
149,935,860,237,945,400,214,048,887,318,424,451,356,729,864,329,335,676,184,
951,433,445,681,716,174,630,135,529,629,763,069,036,195,352,354,807,520,899,
713,840,362,104,756,109,910,025,145,078,474,351,318,158,865,760,590,318,681,
802,529,660,177,662,235,551,396,246,393,197,301,150,606,772,413,057,343,069,
033,615,465,638,710,398,521,552,067,032,228,065,743,446,572,981,789,890,477,
738,134,654,515,369,924,953,830,539,123,508,849,691,623,087,653,203,976,369,
973,274,404,563,473,858,940,589,069,319,168,067,606,773,083,834,202,948,557,
540,831,458,326,664,071,955,595,291,265,585,450,993,873,392,338,985,679,519,
746,949,593,343,669,995,892,123,067,752,363,144,309,540,236,909,518,949,879,
953,207,305,459,098,809,486,317,195,672,941,489,365,470,593,850,908,079,158,
087,799,731,046,327,335,031,648,325,315,311,569,312,948,309,510,366,163,810,
778,165,896,803,396,494,402,141,953,237,809,209,801,312,226,546,102,156,553,
515,346,055,142,359,631,881,864,358,385,396,127,999,046,791,269,029,175,953,
771,334,087,622,634,292,354,772,112,387,785,415,306,578,336,721,184,221,235,
404,341,609,984,280,359,422,761,755,007,393,310,441,205,860,519,423,300,443,
518,422,089,113,542,502,005,417,216,244,128,275,739,711,819,294,012,833,894,
762,722,554,976,130,951,966,259,091,620,737,457,022,596,608,486,018,021,169,
934,620,805,862,332,076,064,294,730,853,012,979,462,556,944,250,868,548,138,
575,960,292,314,229,470,425,559,219,499,678,542,584,387,315,836,091,672,468,
898,672,054,401,279,873,911,781,183,678,453,048,641,403,784,538,120,024,001,
582,684,159,139,718,969,370,017,241,786,384,500,037,642,093,404,392,018,842,
104,798,552,870,146,144,785,526,486,220,182,782,267,851,046,977,386,373,461,
276,548,270,770,248,823,912,827,056,980,893,017,482,826,219,781,100,849,728,
231,363,888,418,284,050,197,312,368,992,969,729,689,325,185,020,114,327,492,
909,885,109,038,377,680,547,706,556,781,454,920,052,898,988,074,489,722,933,
112,833,273,700,574,418,834,621,843,739,715,457,292,774,589,570,993,224,199,
663,075,449,616,283,784,993,007,386,425,950,900,311,557,715,606,639,996,248,
811,958,060,767,715,034,877,422,191,827,812,857,118,177,119,457,899,603,506,
599,219,787,109,039,737,571,450,457,856,452,331,711,332,785,846,427,666,174,
896,859,188,556,470,529,320,283,382,668,664,934,973,244,539,432,232,694,800,
950,849,967,260,056,775,004,627,378,019,002,704,320,150,793,421,712,316,221,
667,748,547,563,128,151,219,867,831,719,592,646,802,611,775,884,382,605,612,
393,378,293,098,282,052,927,567,308,564,419,284,347,402,506,073,986,069,049,
698,782,310,668,151,348,690,287,107,828,814,869,898,723,703,510,237,632,517,
020,864,469,809,676,099,935,420,908,750,576,282,664,520,508,444,825,673,779,
896,805,200,300,801,876,128,331,499,578,059,410,478,958,424,092,978,402,961,
972,223,786,812,423,086,423,790,729,205,546,106,524,669,254,339,584,002,352,
497,677,037,841,268,636,027,426,191,090,238,669,216,687,162,887,270,533,619,
180,847,840,071,801,412,445,533,142,561,243,194,928,041,271,552,876,291,383,
411,599,679,824,997,999,163,920,988,179,357,764,232,484,022,160,562,744,915,
285,589,360,589,240,308,414,569,477,946,002,404,635,756,581,663,182,991,092,
944,372,043,197,999,141,219,752,356,254,935,897,084,169,417,948,463,322,738,
661,286,046,921,788,775,169,432,527,252,183,244,467,377,418,902,194,748,951,
505,574,013,243,723,580,963,612,262,501,587,106,622,089,342,423,712,682,981,
106,598,473,760,716,647,278,076,125,186,434,811,465,003,863,497,407,399,946,
413,097,196,665,686,146,495,159,772,343,463,734,715,942,474,477,868,874,084,
918,379,482,860,664,059,439,629,701,926,995,824,820,003,118,500,888,477,342,
704,056,274,659,318,067,739,221,664,143,278,882,160,612,493,297,149,926,059,
118,189,466,752,782,521,601,404,541,652,581,471,038,773,563,704,058,219,026,
040,533,051,088,487,323,792,347,910,699,836,660,596,927,135,237,714,440,274,
565,148,601,285,987,895,504,877,907,463,313,897,455,656,770,868,233,614,843,
189,325,970,846,113,707,902,607,540,759,660,627,126,363,671,807,377,080,156,
892,642,588,431,058,454,537,690,836,986,489,529,877,541,465,102,345,248,964,
523,903,865,868,597,340,158,811,375,176,633,442,628,046,314,872,818,548,142,
798,068,315,869,578,772,529,502,204,448,729,529,114,309,620,422,765,904,830,
241,756,477,491,735,193,660,267,553,348,281,663,578,860,397,275,199,042,320,
786,623,441,882,735,331,267,509,844,461,209,069,368,787,331,955,116,315,725,
201,440,299,649,972,157,152,707,994,321,889,736,851,643,448,042,721,967,022,
999,399,896,781,419,011,272,273,918,732,716,033,491,094,579,530,636,996,601,
955,894,401,984,841,658,890,291,626,128,549,939,238,438,361,191,153,359,293,
078,961,253,657,448,072,977,258,634,516,846,974,479,860,383,593,457,943,448,
233,573,689,084,941,944,293,014,856,717,170,897,711,097,573,004,070,760,286,
199,798,943,859,725,324,591,812,522,952,635,297,310,960,549,001,574,672,952,
928,583,025,877,529,538,917,132,286,222,408,133,898,846,339,844,544,342,618,
427,720,932,015,854,415,514,709,156,568,932,615,611,611,330,644,522,701,693,
910,701,182,604,292,456,244,061,596,660,744,905,474,669,214,415,707,902,633,
400,290,190,201,010,331,104,095,533,046,761,607,712,134,711,770,822,708,347,
676,346,201,464,941,525,715,699,101,866,295,132,760,913,908,682,002,570,755,
929,011,885,136,903,676,165,609,960,396,095,262,529,595,289,176,336,473,636,
466,424,865,532,557,352,077,752,847,820,908,233,553,941,700,074,424,449,734,
446,207,332,357,444,454,565,593,968,194,924,578,708,430,350,655,823,594,340,
292,534,247,472,905,275,948,825,374,081,944,094,129,124,958,115,387,620,872,
355,292,120,264,746,066,289,744,561,553,644,919,340,987,730,585,451,127,120,
901,482,554,288,336,043,659,922,829,931,889,024,197,448,176,434,718,377,660,
253,928,863,957,885,736,409,789,357,737,959,722,906,995,449,091,023,358,502,
560,883,768,695,943,680,184,295,798,109,213,996,843,103,827,852,675,354,400,
255,100,244,874,293,808,838,631,230,828,017,099,240,891,005,586,785,481,555,
572,802,508,626,547,330,680,996,780,205,356,142,377,397,755,103,193,883,862,
267,889,081,280,135,288,067,221,203,148,789,150,885,063,959,733,377,883,774,
494,111,322,900,969,440,783,595,651,606,920,688,112,525,267,781,875,431,358,
807,422,598,416,658,468,926,227,876,438,423,257,009,996,155,409,595,392,794,
301,232,064,517,610,160,406,124,137,374,230,808,555,068,196,075,541,470,692,
770,979,124,556,958,488,491,879,649,150,230,950,154,887,813,881,565,500,247,
932,009,688,751,436,722,210,307,164,485,748,853,472,964,837,512,294,489,304,
518,078,437,942,018,513,016,178,391,663,635,073,385,527,990,000,182,151,204,
636,019,709,223,174,255,372,484,996,802,110,905,069,761,877,789,538,815,900,
521,257,734,208,253,418,421,375,977,161,983,960,657,908,286,622,050,389,347,
255,955,692,926,524,218,704,865,974,831,544,342,126,969,184,210,539,159,751,
849,460,779,414,932,310,839,486,235,378,748,825,408,457,832,831,015,325,765,
613,430,886,724,889,980,801,792,183,975,475,630,433,081,029,210,929,697,635,
137,221,929,590,956,426,417,843,454,373,303,969,642,660,504,922,221,128,002,
329,706,225,007,628,912,000,851,763,868,476,636,937,583,594,551,775,121,488,
745,744,950,478,426,603,456,705,218,458,125,614,422,141,785,981,590,964,359,
895,683,691,705,531,904,781,516,009,556,982,249,174,163,535,036,419,131,149,
086,808,203,066,173,143,766,586,262,662,463,469,318,027,329,218,692,498,367,
070,930,526,595,582,598,219,834,311,871,010,453,178,979,206,615,157,285,368,
171,443,121,557,626,399,975,504,874,078,968,300,672,575,536,549,968,871,416,
852,182,331,916,650,104,253,240,861,540,314,418,575,233,031,547,568,927,344,
892,652,970,647,105,363,506,085,213,032,010,211,360,251,828,050,894,656,964,
475,606,365,658,010,223,527,048,578,115,970,795,484,367,648,865,859,462,822,
890,335,840,055,426,713,590,596,496,488,082,466,065,235,194,228,333,529,687,
235,604,114,121,420,905,091,286,272,687,146,080,045,274,971,703,038,559,095,
580,052,775,933,025,684,023,750,220,795,437,941,818,144,680,292,395,751,573,
670,082,319,730,588,856,505,227,567,193,513,437,815,630,676,246,712,681,211,
810,848,722,499,166,737,375,733,135,851,468,174,621,153,734,718,974,046,014,
358,995,766,018,489,397,401,554,483,099,471,006,147,955,497,443,457,274,155,
745,346,424,566,856,591,449,276,147,993,960,950,970,752,914,371,562,086,566,
325,281,917,075,621,189,045,453,089,148,643,161,236,478,383,761,111,263,129,
137,723,426,208,854,357,581,461,460,732,851,586,304,173,125,979,535,450,496,
673,636,959,395,686,151,389,727,129,400,984,704,185,311,057,946,373,393,275,
250,085,758,970,627,759,381,928,070,800,492,975,653,447,366,281,251,610,578,
115,131,383,520,665,187,982,631,195,672,186,533,359,124,521,297,032,973,109,
199,041,916,257,047,720,928,290,889,011,278,913,977,655,049,200,004,168,314,
972,306,252,762,464,376,311,165,692,139,504,129,892,897,717,786,563,935,347,
591,457,354,200,693,054,632,407,177,466,729,136,692,866,202,573,745,089,054,
271,539,451,912,529,827,948,599,030,309,181,379,074,242,548,632,347,770,340,
686,012,646,099,548,576,228,322,086,050,502,801,952,468,260,488,772,427,068,
145,007,213,977,396,118,698,871,658,195,026,079,033,389,559,029,681,431,041,
572,746,663,038,113,856,206,901,107,342,088,077,991,149,228,936,308,559,768,
809,951,493,011,663,507,185,165,206,726,318,235,121,988,506,597,095,161,448,
089,533,976,664,208,792,026,706,917,147,635,266,011,298,130,023,323,745,982,
829,263,966,949,925,315,437,233,911,110,206,614,823,045,224,663,046,306,113,
101,094,703,437,738,546,379,470,869,531,335,625,334,557,024,499,656,352,990,
338,798,972,189,816,924,753,854,234,112,786,110,115,330,356,833,258,167,835,
628,059,599,462,953,762,747,086,270,320,288,246,481,158,014,360,790,291,977,
678,061,938,930,795,613,232,903,272,462,309,110,171,714,185,987,353,590,283,
971,274,794,812,729,287,017,224,319,391,017,226,273,377,837,192,821,324,591,
258,963,457,054,893,908,907,720,331,626,905,868,527,494,399,796,345,659,456,
713,395,952,275,862,243,942,533,470,904,699,184,539,817,375,386,528,725,710,
980,190,374,272,048,526,015,831,564,924,491,760,666,353,866,027,535,139,776,
094,565,043,409,138,559,081,917,616,759,542,385,844,180,340,007,488,188,372,
840,816,957,867,961,911,733,163,054,531,662,480,895,388,266,304,182,748,350,
026,769,581,738,070,808,656,917,383,942,210,691,873,329,754,884,006,582,905,
861,147,813,654,598,156,387,097,857,780,280,436,357,052,932,469,983,829,653,
368,855,436,476,287,969,120,862,381,919,542,174,775,595,014,707,908,224,718,
651,525,636,309,474,187,512,038,688,971,591,599,311,700,228,658,750,553,685,
018,640,578,885,944,129,113,629,446,257,402,887,296,617,923,951,360,300,306,
053,285,968,431,932,433,668,436,691,032,273,337,518,519,415,606,229,579,229,
364,792,343,620,587,326,989,041,543,555,093,771,366,082,473,229,400,983,413,
390,234,333,690,125,248,359,783,160,096,585,647,366,859,900,248,038,867,679,
285,005,423,623,264,740,644,539,084,155,854,176,633,792,925,978,672,585,026,
128,655,582,070,105,844,347,075,221,735,152,634,528,792,959,136,218,131,349,
599,568,767,137,098,630,044,401,639,841,946,459,258,858,243,681,146,897,772,
027,785,633,725,775,775,861,382,733,675,883,827,908,171,358,284,284,608,163,
776,552,075,384,088,417,920,957,284,475,912,451,089,000,614,785,026,368,074,
249,520,230,034,306,081,759,540,578,521,717,951,866,347,765,387,934,887,126,
154,884,593,850,754,199,841,709,140,037,848,821,289,654,711,119,585,499,223,
644,964,548,329,301,434,808,450,645,637,052,647,609,843,653,017,157,264,322,
094,035,325,791,336,840,589,897,512,429,024,660,408,997,854,388,875,334,791,
234,186,622,150,911,705,800,245,240,697,919,429,760,839,547,211,355,381,343,
143,306,738,662,691,285,445,209,397,897,017,912,423,105,382,269,426,138,618,
990,204,887,619,026,110,564,362,233,469,873,045,498,865,388,919,371,649,918,
368,707,323,577,654,709,147,244,375,016,910,525,887,272,229,766,538,927,769,
203,670,984,925,556,273,926,863,573,188,405,581,876,464,040,848,237,238,661,
451,968,734,204,019,487,494,546,326,402,669,693,668,298,936,072,231,893,576,
630,624,852,736,804,671,673,624,883,510,301,881,341,354,779,169,127,719,299,
089,112,720,996,704,113,415,722,221,942,513,483,376,336,855,791,610,724,519,
983,673,181,258,612,898,461,192,132,850,845,375,150,763,770,211,750,337,123,
972,918,108,784,095,558,427,837,280,733,623,969,956,463,860,592,822,698,027,
105,682,766,389,199,618,349,514,584,123,806,055,205,393,147,839,877,839,202,
151,889,018,306,900,795,975,963,255,135,869,277,866,549,759,071,728,876,290,
385,868,485,035,576,703,396,401,348,231,366,743,755,259,919,661,153,555,217,
755,167,090,414,326,875,223,290,889,707,913,097,928,712,315,257,318,191,120,
775,448,988,786,836,842,055,933,873,744,413,734,072,624,722,882,916,907,937,
797,605,229,258,483,795,182,560,468,965,046,687,699,854,543,412,627,530,954,
435,426,037,256,460,128,268,448,484,536,740,490,844,856,805,844,037,103,649,
378,513,860,215,514,581,740,455,973,736,793,144,452,605,729,101,441,054,013,
334,599,095,921,127,234,817,812,464,889,871,630,081,393,368,454,103,393,490,
267,844,331,884,563,910,049,625,673,821,438,993,791,795,389,860,997,404,971,
024,658,956,873,913,322,289,964,605,539,210,820,255,314,211,427,294,450,170,
581,302,501,846,238,437,311,324,384,229,008,022,403,857,287,160,900,989,002,
802,913,101,096,379,343,952,767,911,917,774,614,560,750,885,721,826,481,282,
662,808,278,377,994,320,351,412,024,335,759,605,176,190,883,395,950,054,413,
611,943,223,777,980,301,825,137,224,402,156,727,531,441,719,692,682,967,806,
968,538,970,498,717,130,057,834,671,270,021,090,154,769,587,600,151,117,751,
296,675,604,177,364,040,749,318,981,160,909,752,174,978,058,231,691,985,580,
005,695,344,832,693,347,269,972,206,990,343,735,869,504,716,404,111,139,669,
705,420,865,232,496,558,812,486,484,008,411,514,268,330,747,164,877,783,330,
831,549,731,925,954,359,265,368,080,642,537,169,112,769,874,071,788,516,039,
777,230,363,672,265,664,800,499,007,263,884,866,620,660,799,016,296,012,685,
788,757,736,738,550,980,953,438,945,331,815,107,796,792,654,719,386,994,847,
705,942,278,132,581,628,264,019,256,363,979,610,953,762,211,046,818,834,574,
494,724,359,474,819,265,244,373,872,101,735,404,184,946,963,099,497,501,637,
177,274,904,578,250,345,819,381,113,186,550,402,884,947,097,097,216,669,846,
326,046,094,731,733,780,475,010,688,200,223,736,948,954,419,429,175,871,686,
068,150,435,805,095,027,189,793,607,851,646,462,770,714,329,851,809,280,144,
951,838,303,696,727,334,039,243,378,471,362,263,543,872,196,850,561,652,139,
849,211,870,126,887,556,710,494,802,711,316,701,216,825,277,535,491,687,614,
791,450,406,788,783,380,047,299,476,934,910,151,857,562,312,861,425,933,377,
780,618,601,030,863,338,698,453,941,385,806,504,290,872,218,323,958,663,431,
225,860,798,119,780,889,712,181,596,061,304,199,521,166,449,423,888,387,604,
625,605,764,934,220,509,630,747,629,831,619,032,619,256,622,298,218,260,609,
885,913,229,795,119,266,538,964,991,335,925,878,832,958,046,151,881,215,825,
748,818,898,559,231,025,333,826,131,004,061,792,240,106,326,172,902,350,859,
457,053,682,858,683,340,439,376,648,644,772,368,459,887,367,052,336,254,171,
777,326,868,875,275,150,863,851,005,599,674,183,632,443,731,612,242,690,553,
932,314,333,517,538,122,466,764,446,178,009,319,193,133,333,591,983,067,552,
823,078,326,287,120,474,023,184,524,299,980,752,186,986,146,940,010,414,203,
282,091,351,326,319,962,724,039,979,118,498,470,191,824,031,887,886,890,598,
262,982,853,804,780,105,544,146,319,164,474,413,752,955,929,269,619,292,331,
226,313,670,851,842,885,418,935,184,325,327,812,794,332,244,473,604,499,302,
302,728,059,861,746,392,367,006,950,750,475,249,406,182,398,122,057,579,325,
292,873,920,131,580,280,574,581,723,985,399,115,131,768,833,402,075,190,264,
227,687,301,563,080,611,712,308,623,709,156,505,859,590,434,847,809,041,262,
637,765,239,010,028,389,293,231,009,098,649,310,627,354,907,832,501,543,611,
471,666,167,652,634,252,147,135,508,909,836,535,591,180,386,688,690,547,768,
555,879,355,503,425,623,122,147,070,989,079,557,780,900,157,849,813,629,106,
508,221,852,752,360,543,524,848,551,919,366,170,911,258,836,676,256,498,358,
959,207,143,046,973,037,041,885,492,847,571,682,672,093,067,144,844,593,478,
719,554,885,007,859,792,283,269,119,076,900,058,418,441,595,849,781,782,282,
608,427,898,297,277,229,113,629,447,636,002,210,399,937,404,254,344,378,271,
450,302,201,455,259,680,038,295,078,625,917,750,799,952,220,773,770,113,534,
218,660,535,380,511,664,678,062,671,170,200,726,408,637,293,708,146,076,951,
931,907,128,078,564,743,276,122,232,773,327,362,222,479,291,875,375,565,546,
546,583,746,278,201,007,372,353,504,852,563,099,103,858,794,729,976,667,593,
731,204,747,039,874,069,936,953,631,465,863,820,912,117,557,882,605,654,528,
930,561,849,516,706,416,479,673,845,502,782,078,450,820,990,056,583,422,977,
872,795,454,033,007,479,023,606,306,640,557,684,268,646,488,454,277,408,351,
273,126,955,274,447,575,644,473,355,429,188,630,435,131,867,223,993,681,182,
275,654,420,082,672,113,819,948,649,235,955,128,173,812,851,269,561,786,365,
935,606,842,622,615,377,450,104,962,444,137,959,769,326,582,806,748,415,177,
935,811,760,881,394,509,617,302,195,754,692,744,550,233,843,723,424,466,289,
785,241,421,014,393,108,498,403,804,883,291,564,916,203,930,985,570,384,441,
367,365,166,961,446,801,469,618,457,866,800,429,234,284,715,789,240,024,498,
593,668,300,846,425,732,296,992,445,974,502,544,668,681,050,461,197,078,197,
050,865,154,424,807,498,218,613,398,600,472,523,824,261,208,495,359,120,096,
852,035,573,525,883,219,940,105,682,387,746,106,879,898,453,423,602,724,606,
260,208,091,846,083,313,587,410,558,170,846,182,696,471,404,204,430,768,965,
046,496,881,312,944,141,951,274,971,128,315,237,823,360,617,847,723,627,861,
540,038,769,830,498,039,835,137,678,820,628,100,986,687,583,620,158,638,793,
781,262,649,137,431,681,993,368,686,699,202,400,234,179,885,008,878,124,325,
507,853,325,960,044,303,756,152,017,004,419,953,744,446,324,084,728,816,922,
681,626,394,389,159,813,450,375,905,026,541,520,292,574,108,722,782,744,862,
379,583,037,727,080,237,843,731,045,716,165,541,583,739,009,252,318,164,432,
972,871,494,617,148,606,114,878,387,401,360,801,923,682,503,746,878,805,895,
609,532,161,481,254,793,931,431,939,853,500,383,964,834,340,868,706,593,347,
490,604,866,750,149,110,500,698,631,678,940,503,956,575,904,490,754,722,677,
661,662,693,588,276,546,299,493,166,300,560,103,987,216,905,135,214,253,067,
602,674,062,534,606,793,536,476,967,179,996,634,763,122,932,889,376,748,386,
710,375,100,258,535,671,121,910,889,328,929,606,930,410,194,621,011,521,540,
920,315,956,218,119,290,036,659,940,984,432,755,324,489,515,590,592,679,538,
760,735,895,097,954,845,152,967,719,413,481,330,535,191,767,686,499,851,253,
400,167,405,548,958,347,061,237,864,578,058,439,367,538,979,982,352,464,309,
741,399,953,217,600,641,433,956,851,736,940,873,176,018,028,239,518,630,708,
702,634,929,993,720,795,451,975,920,085,506,857,329,024,052,432,968,155,669,
121,055,420,252,265,107,078,503,795,467,881,738,794,979,992,254,660,162,733,
288,567,325,679,450,307,911,112,822,173,089,653,067,924,285,101,711,726,439,
921,987,437,581,352,219,296,541,674,676,461,356,313,995,205,568,746,813,352,
312,391,084,505,196,540,710,427,720,479,302,871,187,172,029,807,589,009,187,
658,753,460,169,845,800,975,911,201,087,234,448,884,093,645,827,926,454,601,
916,864,616,959,095,226,199,573,140,287,988,574,208,584,665,101,911,314,958,
758,714,908,887,875,931,578,159,983,855,661,260,273,750,540,547,810,379,970,
519,416,535,406,297,109,123,139,335,107,557,840,472,229,302,233,088,580,940,
537,429,213,000,973,052,474,295,691,294,614,164,431,429,940,548,055,504,859,
873,588,915,180,410,752,238,407,227,237,588,901,709,650,098,834,449,696,219,
698,694,965,703,287,154,760,885,942,995,707,318,792,113,058,565,240,069,286,
203,916,063,464,816,084,758,529,228,553,425,679,601,987,825,184,274,815,195,
862,573,257,634,027,437,536,567,575,516,437,747,053,480,758,557,423,798,750,
531,893,917,591,673,340,489,975,145,415,071,491,978,796,988,764,978,285,048,
826,817,069,456,625,219,736,946,996,763,318,159,556,942,273,785,778,023,876,
626,255,937,513,230,787,455,527,026,078,295,386,672,493,816,616,195,495,166,
280,943,523,955,557,324,951,242,203,732,917,612,467,643,368,410,700,804,281,
711,747,781,685,220,826,031,078,067,318,788,220,666,990,695,620,798,576,985,
665,615,339,093,895,666,855,309,579,305,178,516,688,565,720,493,895,795,917,
381,860,819,566,005,460,647,271,774,686,086,433,963,730,877,615,907,468,509,
318,275,061,063,553,028,724,122,122,297,103,453,637,582,469,065,315,216,242,
653,560,234,507,493,579,088,853,862,598,320,591,009,533,839,093,524,450,103,
737,361,825,135,467,174,694,602,643,235,586,585,538,770,565,400,683,697,536,
382,226,431,359,048,641,073,531,010,926,070,456,867,695,086,409,230,568,474,
337,767,364,650,338,180,408,713,626,393,455,481,506,464,289,182,015,034,623,
282,252,324,884,500,616,476,357,312,744,858,428,317,258,086,274,062,604,582,
490,673,807,702,104,005,159,192,472,997,156,272,281,263,942,849,227,105,312,
305,856,608,042,789,429,362,891,277,304,597,077,034,955,224,823,697,067,936,
634,800,973,256,406,529,744,353,064,167,090,190,396,638,370,976,514,387,326,
076,428,124,289,325,692,522,976,491,981,943,801,037,305,791,702,828,638,741,
533,104,030,897,473,793,818,068,655,381,916,035,227,918,401,071,037,881,008,
966,006,818,002,054,077,828,109,619,684,992,520,199,512,913,110,597,392,019,
392,727,233,930,995,071,389,884,585,748,049,188,928,672,504,442,984,594,305,
744,267,062,460,567,323,011,455,187,378,895,759,494,030,859,663,138,270,219,
769,717,846,648,739,910,689,878,235,866,391,928,934,895,197,282,090,397,809,
988,324,260,748,779,205,738,117,810,592,248,480,554,067,505,793,330,839,194,
305,486,777,478,595,715,111,812,180,696,734,651,658,987,981,805,961,846,629,
541,302,038,055,042,713,763,136,509,878,786,889,372,817,312,147,088,825,277,
861,413,175,191,970,235,965,835,276,356,733,116,767,684,579,033,835,238,359,
412,339,327,239,772,451,606,652,597,191,205,089,807,412,386,269,255,925,452,
929,800,899,560,129,618,251,844,271,709,420,194,611,018,119,576,239,894,010,
402,717,955,596,827,451,778,119,929,031,755,429,482,978,289,404,607,264,841,
583,967,207,721,876,225,273,687,514,670,220,155,470,708,972,950,699,007,148,
013,285,955,088,980,485,489,062,357,207,680,089,319,235,787,469,675,168,194,
777,147,597,924,697,694,153,159,026,389,481,375,227,572,353,137,053,608,945,
414,396,136,240,397,375,001,923,246,759,694,576,245,233,406,022,921,383,077,
184,124,417,496,640,332,126,679,486,687,892,721,313,075,259,827,552,694,803,
457,601,366,659,991,139,916,834,464,023,732,154,894,255,474,611,346,205,770,
613,237,478,734,054,237,075,440,907,308,966,356,967,388,352,544,871,559,501,
605,241,300,957,617,577,288,481,307,294,408,679,650,204,153,536,288,222,519,
337,066,727,679,692,020,612,743,278,533,687,490,870,257,797,791,029,124,783,
073,639,417,573,456,517,765,539,273,257,771,654,875,852,686,879,156,712,692,
426,609,996,716,672,211,324,081,077,844,864,852,268,432,323,545,865,644,901,
035,574,145,164,859,993,587,177,082,365,080,350,135,815,504,957,234,553,315,
031,047,665,362,623,232,872,876,202,185,668,562,314,781,606,931,546,147,919,
594,491,362,470,724,189,368,027,742,365,969,080,463,215,138,907,216,994,117,
967,463,875,440,400,494,134,604,498,064,782,535,545,005,345,564,044,784,554,
079,633,053,238,121,503,572,733,586,435,785,998,500,109,223,236,189,690,453,
226,767,717,917,550,846,158,812,011,894,336,618,799,378,516,958,262,441,307,
536,078,993,979,929,333,285,601,685,217,928,238,026,538,667,252,348,450,098,
111,803,627,795,323,284,350,851,067,210,425,031,841,065,618,802,252,727,446,
638,774,981,770,276,136,200,738,141,990,534,826,018,331,227,935,215,054,407,
368,797,317,937,421,750,328,838,385,802,927,792,332,677,226,841,748,321,818,
703,131,882,579,815,818,962,550,844,862,075,089,500,123,073,487,828,597,896,
187,657,477,054,811,722,427,399,843,281,452,647,682,735,613,109,476,136,755,
309,864,652,068,050,890,349,430,122,158,539,801,593,461,481,374,146,900,903,
681,823,497,674,269,265,690,720,637,915,671,126,592,775,079,667,802,600,221,
846,169,772,068,143,238,555,424,578,083,782,610,978,102,172,926,068,074,901,
260,825,224,333,798,361,796,251,443,372,569,150,403,127,069,687,798,085,431,
945,015,665,571,911,727,498,399,318,884,798,662,549,074,414,454,975,461,010,
571,642,165,016,476,676,580,701,706,448,735,735,617,248,976,343,450,000,056,
021,642,746,879,468,945,201,325,036,392,703,919,746,054,519,551,379,597,324,
451,615,471,975,916,537,141,908,689,194,376,307,977,670,335,190,541,451,311,
706,064,954,923,428,736,592,813,847,331,218,667,942,223,921,315,835,622,035,
781,018,632,181,725,655,241,377,448,919,683,367,349,158,170,562,145,681,530,
553,393,369,834,594,275,574,901,354,991,960,540,342,169,438,311,890,637,802,
683,064,779,054,115,347,002,373,575,492,079,365,262,480,756,021,160,499,176,
986,690,425,321,877,846,588,449,401,454,952,675,169,453,741,896,142,035,107,
491,901,015,986,308,239,768,028,890,720,192,222,463,085,872,918,011,153,423,
800,339,149,325,520,629,871,938,875,880,956,635,635,225,781,035,565,805,770,
339,666,003,589,791,089,279,253,796,130,833,538,512,004,791,914,690,056,361,
234,532,306,720,475,676,215,881,873,923,937,673,634,001,442,567,207,512,143,
225,095,862,510,702,537,419,086,970,796,428,987,641,101,168,012,689,365,113,
211,998,050,935,711,387,681,007,381,597,869,263,567,312,889,447,585,693,383,
094,190,986,308,000,522,371,508,748,012,792,119,011,349,911,571,211,775,649,
566,673,843,217,780,757,355,101,827,148,016,949,143,235,989,892,343,984,510,
459,586,108,022,527,678,001,242,501,310,682,763,876,214,044,629,467,225,037,
209,797,667,663,063,108,694,249,596,974,190,229,326,812,317,111,780,495,171,
851,577,516,310,622,404,997,390,236,476,937,485,617,712,838,202,181,782,217,
261,249,849,255,564,937,249,542,294,582,449,682,284,530,365,295,424,187,179,
222,814,573,727,319,570,097,103,594,149,561,282,742,182,638,156,668,556,984,
433,835,482,478,283,476,246,828,838,837,285,404,835,509,324,522,369,762,150,
473,932,822,747,797,137,988,911,912,210,542,759,172,982,898,641,277,535,890,
446,693,542,502,221,517,704,105,660,236,290,806,116,428,795,914,029,662,148,
071,951,006,285,698,503,097,333,096,437,125,983,647,150,921,270,615,043,507,
426,646,967,319,070,187,703,230,811,599,325,550,101,816,316,252,670,168,732,
563,831,971,847,793,217,350,249,256,042,136,864,209,380,692,537,445,497,949,
928,860,416,196,112,430,605,274,654,153,705,760,355,339,541,007,176,270,464,
408,688,977,499,772,982,026,561,351,379,331,731,561,008,507,789,950,634,607,
550,854,122,679,522,303,329,613,324,402,013,209,666,788,847,670,566,570,122,
023,479,059,680,692,786,639,584,880,568,125,179,746,349,778,798,038,827,094,
552,424,549,675,278,726,367,614,737,168,073,619,055,379,286,938,243,353,906,
574,985,453,972,965,190,386,599,860,079,236,467,720,160,303,621,101,114,008,
015,441,219,057,098,852,934,004,702,705,250,288,290,311,544,412,151,867,686,
791,698,802,592,963,907,177,194,358,121,021,742,478,461,905,841,532,883,559,
143,764,391,412,383,650,079,060,478,440,673,017,664,072,556,556,909,458,371,
788,598,106,566,928,742,762,364,754,189,082,977,849,359,181,711,824,003,109,
317,622,921,164,258,094,004,265,098,011,074,365,517,727,246,762,804,976,460,
880,794,487,627,245,931,322,059,368,424,326,465,998,505,739,410,843,896,378,
706,333,284,094,118,523,754,804,997,980,039,351,547,468,950,841,932,646,467,
659,861,109,034,767,451,328,483,106,479,815,040,983,253,462,613,258,044,668,
141,344,541,636,872,402,198,792,261,106,028,500,135,492,452,004,598,204,426,
995,783,847,146,539,036,481,025,750,973,140,111,248,963,138,683,215,001,756,
009,520,551,310,403,950,056,897,470,655,420,531,922,709,803,491,081,579,385,
744,705,935,707,722,097,699,604,456,127,856,726,691,005,202,801,202,972,613,
981,871,920,591,785,229,554,791,078,541,525,210,726,913,359,027,575,150,838,
660,935,925,032,884,919,117,482,485,393,023,201,530,512,691,453,855,879,435,
919,877,112,666,123,528,631,725,390,115,056,272,500,322,665,003,102,941,541,
064,593,692,780,227,707,691,109,734,757,270,910,318,117,329,712,952,032,975,
871,223,913,344,649,360,345,549,861,602,068,924,843,290,992,160,797,645,829,
997,039,550,422,004,924,403,012,008,416,585,850,339,160,549,426,420,048,611,
979,947,093,201,023,236,872,648,201,679,460,645,177,538,670,393,278,426,229,
223,303,806,477,906,323,118,196,847,601,098,994,357,021,973,281,163,419,548,
062,724,413,332,916,931,128,133,667,461,911,825,187,658,436,289,118,711,083,
124,086,824,868,997,615,862,209,914,516,481,935,018,147,982,265,280,619,727,
403,561,636,959,686,714,756,403,437,797,160,008,558,376,152,342,093,419,597,
549,498,227,072,566,422,688,104,865,457,524,518,383,831,986,365,453,860,804,
641,357,358,556,769,172,759,873,416,657,846,058,042,688,409,850,640,807,684,
846,422,507,740,025,497,880,698,157,562,345,859,714,531,072,519,109,669,754,
867,101,315,443,837,612,097,107,152,893,792,739,253,487,901,803,539,768,221,
912,597,916,292,404,544,419,788,023,787,765,734,760,404,364,571,448,732,588,
079,952,009,661,973,770,698,693,058,498,618,241,386,989,935,983,706,314,708,
251,112,358,930,437,850,235,159,978,004,197,007,232,128,985,919,969,864,742,
712,862,744,463,741,884,223,937,139,451,527,379,739,428,558,041,532,088,037,
775,874,478,746,803,256,744,661,818,345,046,654,908,842,986,897,974,417,460,
995,290,012,544,219,943,576,355,843,640,999,554,946,859,622,943,395,265,624,
929,593,210,006,311,817,767,877,743,059,538,403,661,906,811,258,644,849,091,
458,438,195,859,836,081,666,108,838,943,736,550,496,164,164,629,231,292,155,
265,103,753,549,529,276,778,524,057,235,037,419,199,518,461,945,627,410,803,
266,386,931,756,280,146,467,064,107,579,390,411,562,774,486,514,835,834,850,
478,160,267,986,759,713,975,085,529,081,233,342,799,323,191,613,960,658,570,
198,529,859,342,468,925,821,741,189,700,177,033,262,701,090,400,431,783,518,
801,242,904,469,688,489,929,851,831,239,923,940,104,135,407,629,978,113,066,
634,474,206,310,316,391,011,695,081,091,236,706,307,790,801,672,102,230,294,
513,847,104,618,220,252,365,982,435,518,808,016,506,027,380,871,513,791,109,
755,398,186,807,662,676,749,823,780,768,599,282,288,534,976,901,343,006,947,
915,504,529,543,375,689,728,914,103,467,325,240,835,380,989,337,372,757,617,
587,572,391,207,655,209,541,760,703,718,964,726,966,292,384,729,550,648,671,
027,360,157,728,167,913,813,145,510,827,173,902,140,512,322,654,375,346,594,
787,215,621,464,680,547,781,726,095,738,905,500,136,840,924,582,516,415,231,
345,701,864,249,917,137,008,848,069,284,318,119,928,521,555,290,891,852,229,
812,339,436,752,243,211,864,530,818,081,159,653,829,152,172,547,013,287,363,
060,834,924,638,983,108,301,097,031,011,980,047,257,780,124,706,284,954,370,
278,419,782,706,934,952,165,164,770,006,342,859,557,461,994,530,634,405,556,
516,028,939,161,234,451,866,884,436,527,180,424,376,157,766,061,304,068,387,
870,326,400,862,331,023,115,835,416,066,169,936,299,144,067,635,155,674,664,
581,722,813,508,679,074,624,802,295,986,687,886,419,784,575,859,268,019,407,
537,929,702,482,078,083,397,215,945,579,025,366,126,693,612,327,516,054,811,
067,696,476,398,169,444,040,939,533,443,405,380,162,640,754,598,424,299,979,
776,351,810,957,354,507,170,658,921,632,653,659,303,352,109,740,355,273,322,
048,430,519,497,956,518,277,801,010,929,065,062,699,193,406,157,446,464,012,
080,955,114,681,598,084,773,665,158,498,366,947,380,511,526,064,415,697,638,
304,787,831,395,984,519,709,223,266,152,932,922,809,642,087,762,476,440,338,
831,873,489,005,217,803,722,535,676,680,747,285,703,550,381,119,107,611,930,
403,858,213,471,922,904,662,198,556,394,059,837,351,108,448,911,444,787,883,
276,231,837,231,982,364,022,491,468,283,868,280,479,329,005,204,037,016,429,
101,499,776,895,849,888,030,477,279,738,014,865,422,714,070,208,465,050,542,
391,588,355,416,454,211,872,999,114,821,933,657,647,996,670,487,492,764,940,
618,337,611,280,444,626,463,536,093,846,788,200,106,009,319,222,159,156,180,
827,918,880,792,388,268,912,100,123,187,113,366,259,829,735,681,067,114,826,
194,613,144,749,579,611,874,750,378,628,309,141,542,660,825,353,469,997,137,
164,946,118,440,424,739,133,569,681,462,227,422,551,019,034,047,837,360,124,
039,122,140,841,695,567,950,794,605,573,283,731,977,237,747,877,763,366,629,
820,821,613,251,468,563,757,627,763,582,422,148,498,375,069,670,914,370,965,
934,859,426,268,738,321,964,562,517,598,490,144,449,975,344,815,647,631,995,
470,030,906,538,595,182,676,561,225,080,602,629,002,122,986,239,843,227,944,
034,634,098,036,574,700,269,481,277,700,280,106,728,864,135,154,305,623,455,
513,920,247,157,008,259,123,281,792,612,837,602,139,397,777,812,406,822,513,
198,857,733,847,669,022,992,820,867,148,813,830,496,532,967,033,981,520,648,
698,159,617,691,073,853,817,302,708,215,046,692,321,532,164,075,227,903,539,
140,171,919,222,639,075,839,640,389,480,239,099,086,406,962,738,840,024,351,
867,214,347,039,780,774,924,442,852,144,582,189,541,808,488,869,235,732,517,
679,679,832,133,619,422,240,817,167,333,815,664,737,879,442,026,238,872,790,
751,600,989,378,657,562,168,418,034,821,636,284,892,879,845,398,822,544,839,
143,433,158,739,349,449,144,173,984,872,964,979,958,324,470,242,863,980,401,
254,227,645,184,932,820,485,049,882,120,624,573,324,945,411,610,730,257,154,
318,703,894,651,335,516,290,615,298,551,388,871,850,736,698,364,636,128,299,
758,328,713,656,529,192,974,260,379,385,814,002,270,569,844,479,783,390,068,
356,729,402,147,425,040,314,370,970,299,095,282,144,481,912,288,724,989,868,
292,977,729,793,713,094,131,894,483,497,694,206,086,744,592,582,245,340,488,
814,256,341,365,742,419,341,428,179,538,679,792,908,896,479,871,549,802,016,
100,538,033,407,313,738,302,595,842,050,443,691,143,554,000,185,112,510,822,
039,728,792,738,999,431,284,197,687,741,442,715,766,661,442,785,471,605,008,
128,910,636,390,181,467,586,213,648,848,878,876,900,377,462,662,260,124,621,
810,501,441,287,645,733,142,447,589,087,118,256,403,577,293,493,901,892,993,
586,558,784,818,242,618,948,233,758,608,768,432,666,888,700,553,922,850,740,
137,012,336,935,942,636,037,430,805,810,768,293,530,846,680,433,320,438,640,
446,532,033,663,421,243,769,446,842,401,594,162,447,002,667,160,279,285,595,
431,063,451,709,992,281,779,066,822,322,082,327,242,897,103,222,557,873,313,
928,357,747,358,994,868,668,388,070,026,157,625,722,489,904,846,491,380,070,
756,908,768,023,347,104,925,136,803,953,358,557,012,473,038,166,562,220,615,
303,688,897,301,366,688,353,422,195,455,462,301,811,639,920,694,416,786,875,
022,023,142,042,916,490,155,366,012,899,007,448,614,047,677,847,951,418,856,
471,824,778,524,663,593,996,442,091,278,930,880,126,713,100,671,506,340,563,
641,847,173,174,361,753,716,876,262,511,678,157,633,826,946,705,086,463,704,
729,661,504,727,617,675,126,119,952,557,782,209,130,878,301,706,324,024,139,
888,317,588,448,850,251,677,475,511,443,642,474,439,218,511,686,469,831,834,
812,058,093,807,697,294,029,889,198,242,124,978,765,170,929,519,653,890,779,
318,225,871,039,188,124,521,441,300,178,483,772,960,693,389,449,586,570,181,
053,345,197,726,059,707,620,626,017,910,096,476,955,990,293,490,254,784,744,
337,352,911,408,389,124,254,554,645,479,226,879,526,202,689,977,441,353,233,
734,859,842,735,566,028,394,209,763,162,860,275,531,647,083,867,387,174,106,
057,425,011,873,613,204,024,657,825,084,199,394,742,949,008,132,729,189,048,
181,767,478,501,561,856,904,138,789,760,861,805,076,934,404,507,169,145,666,
407,018,514,421,787,511,294,639,899,171,457,755,031,053,687,788,664,264,425,
727,643,830,965,479,338,246,930,875,421,480,031,537,586,413,049,968,817,828,
367,670,502,455,098,227,528,075,682,599,310,132,628,351,703,237,318,726,608,
816,563,775,142,806,887,630,483,351,908,879,332,833,675,513,178,602,097,022,
025,420,706,452,773,299,503,026,959,778,253,058,563,453,086,698,726,088,926,
706,346,615,589,940,759,684,935,234,554,993,849,189,350,821,556,620,912,214,
978,796,248,357,849,701,000,274,742,575,500,369,342,156,025,212,624,864,724,
777,586,866,486,537,967,347,414,162,853,080,021,396,452,349,733,065,740,163,
676,033,187,182,055,556,832,728,524,950,081,602,371,573,719,746,170,019,201,
330,879,653,646,358,435,637,214,875,591,755,949,969,830,163,194,188,196,450,
669,499,698,592,601,833,362,648,640,378,998,422,300,428,713,915,220,524,709,
576,080,086,956,592,557,541,667,033,862,805,793,136,766,031,709,614,731,294,
919,264,699,420,929,221,687,233,799,839,855,385,085,644,192,245,565,754,679,
676,766,546,984,680,510,722,142,000,892,836,714,404,660,760,872,730,708,664,
664,646,012,346,039,383,619,414,062,652,537,839,914,864,581,697,501,785,883,
445,010,575,828,330,819,580,780,911,549,797,627,006,633,141,248,903,229,576,
844,347,701,948,906,491,158,424,550,729,190,527,311,568,280,154,927,309,669,
463,863,069,301,562,666,635,092,743,098,587,864,759,151,294,675,394,558,546,
094,269,650,452,530,696,640,311,357,895,757,385,211,880,989,058,668,474,292,
621,340,935,138,030,487,204,888,732,491,778,530,642,474,688,250,123,793,839,
781,579,781,777,513,145,557,190,433,376,704,990,830,354,034,027,616,709,023,
218,830,066,049,095,763,068,584,663,848,879,026,283,016,070,560,058,465,374,
234,883,167,852,876,703,601,614,989,199,661,501,396,455,931,722,145,131,200,
248,123,656,661,388,184,973,321,409,981,781,987,092,703,910,031,291,247,777,
964,795,384,489,403,725,058,774,399,338,142,902,383,818,751,414,170,576,592,
498,873,356,238,960,042,609,432,624,289,251,847,806,384,292,719,293,969,268,
742,924,143,927,219,769,900,539,800,864,198,877,709,637,000,561,024,185,312,
472,981,927,360,964,344,466,926,614,210,760,420,132,185,807,305,609,794,773,
265,565,853,070,219,487,848,415,294,003,519,428,204,763,706,721,770,597,333,
968,517,681,511,740,438,405,575,785,785,667,889,979,493,119,015,142,492,671,
315,265,136,377,155,162,871,071,318,362,573,544,009,965,029,254,474,708,121,
046,229,262,282,924,512,934,142,918,045,919,134,537,106,317,753,632,011,064,
405,417,587,668,938,672,203,475,246,734,339,529,625,826,170,203,692,371,786,
239,742,163,474,258,277,170,103,247,518,147,259,944,430,042,049,745,666,939,
668,114,017,518,492,072,330,682,923,773,857,051,851,664,201,866,511,553,962,
362,160,202,310,609,137,615,749,941,490,473,676,197,183,026,202,860,560,156,
769,803,214,509,003,293,666,699,389,805,274,450,452,787,698,856,793,765,945,
043,804,824,592,638,694,251,478,184,358,643,987,064,432,117,440,142,653,370,
000,740,506,874,229,868,289,736,336,865,840,842,266,142,173,257,139,533,044,
235,254,135,479,638,013,578,838,864,215,653,175,156,910,974,101,697,571,143,
140,833,300,145,330,930,475,854,380,831,049,616,060,385,056,078,625,762,760,
963,844,249,963,069,564,780,121,936,312,006,664,882,549,253,772,803,236,687,
045,728,348,604,691,318,492,178,398,425,134,232,837,318,530,612,502,270,087,
142,173,806,218,338,121,216,503,905,915,491,359,556,685,880,786,952,841,408,
850,646,428,162,300,632,626,995,854,159,987,907,305,545,558,395,701,632,636,
128,647,045,705,360,285,886,784,452,787,764,721,990,013,841,953,364,719,090,
897,779,157,571,133,093,883,945,654,597,689,214,785,281,657,100,063,739,010,
859,961,150,686,779,065,053,541,238,322,812,055,410,970,232,116,749,629,443,
001,784,822,119,825,145,813,318,610,636,685,618,410,446,088,374,958,099,046,
861,859,774,709,763,378,327,209,711,440,139,549,882,553,278,972,718,228,696,
525,722,910,106,287,320,207,298,164,000,687,357,833,418,774,487,801,340,461,
653,550,200,824,674,149,386,642,487,285,398,433,899,182,962,860,446,847,163,
264,884,154,613,760,365,277,539,464,909,394,398,039,403,123,363,992,121,805,
988,270,886,532,237,737,574,506,541,497,646,653,847,945,804,816,880,642,525,
909,488,424,267,064,916,021,510,103,680,121,787,777,673,841,169,686,139,637,
589,797,854,050,876,315,701,116,664,533,597,214,716,987,484,646,412,630,082,
075,801,353,853,103,297,273,061,858,357,525,731,515,899,400,888,193,029,449,
095,166,999,030,042,559,019,190,022,495,099,884,241,273,683,301,713,457,007,
477,231,955,247,602,366,345,124,650,759,384,255,816,646,716,265,748,202,453,
344,456,187,068,855,649,295,948,898,876,673,130,802,595,899,420,324,488,441,
087,042,352,350,383,932,542,871,974,129,831,712,398,750,367,599,581,962,554,
651,498,052,803,477,852,289,027,067,127,412,404,750,097,583,466,199,506,383,
189,499,276,263,103,197,833,531,865,971,181,784,489,877,508,762,425,313,418,
112,505,880,592,059,533,865,937,958,461,417,511,069,234,100,271,656,844,922,
652,286,144,210,526,735,448,883,931,615,407,686,424,613,653,029,792,494,213,
492,174,616,007,669,355,756,900,183,557,082,866,947,869,374,995,867,394,279,
994,848,980,116,986,856,707,436,914,338,678,700,229,563,718,964,117,840,178,
824,952,880,615,516,337,393,683,814,643,910,540,200,464,275,530,221,018,686,
070,362,703,407,247,679,485,935,010,845,252,040,021,419,064,301,809,204,000,
226,486,176,919,252,030,066,115,784,088,029,821,400,649,135,492,739,366,678,
159,247,993,249,508,077,247,303,352,174,714,933,301,306,407,225,175,026,120,
450,809,010,960,229,451,380,428,628,337,496,595,152,540,270,494,667,860,143,
521,382,305,752,930,793,810,759,907,370,920,094,967,899,828,367,398,517,782,
328,257,224,033,919,641,495,812,121,064,526,149,245,689,943,841,544,379,647,
556,470,272,751,586,364,119,819,381,489,567,601,459,758,246,977,508,214,514,
691,457,007,522,725,011,011,297,193,356,838,482,262,344,221,473,820,725,009,
412,926,062,030,574,051,986,845,485,961,783,659,267,370,269,820,612,824,965,
904,346,585,236,356,529,682,366,187,184,087,271,334,348,643,031,626,517,857,
846,753,238,613,446,845,029,636,325,217,616,624,324,215,110,247,543,291,756,
120,898,909,054,852,507,754,953,738,936,828,062,390,487,514,993,347,555,979,
738,267,456,965,603,558,953,243,717,224,281,936,047,748,486,421,150,629,753,
453,842,470,009,156,682,436,500,251,592,794,860,656,901,647,892,031,263,324,
983,212,115,601,504,525,468,277,073,501,430,941,969,692,848,539,884,895,551,
897,576,550,060,730,889,432,509,367,567,002,939,525,723,051,124,732,222,006,
238,540,179,520,433,888,506,898,513,989,741,574,948,509,366,751,951,302,310,
661,355,726,464,193,068,189,031,824,763,779,751,838,031,333,477,269,737,620,
027,109,313,690,679,855,737,795,485,267,929,643,374,990,889,500,823,303,092,
348,782,726,869,943,350,575,892,122,920,349,289,901,908,720,471,834,159,052,
597,954,341,922,706,616,579,551,382,790,668,169,814,007,541,556,296,060,344,
870,177,892,131,692,526,163,299,577,534,222,966,292,608,670,450,140,050,523,
452,310,248,361,016,507,875,657,100,053,992,110,142,417,788,256,112,854,441,
019,346,532,234,445,621,140,391,538,564,603,634,058,129,728,569,700,459,923,
254,103,331,382,684,871,998,686,008,003,654,254,195,279,379,123,544,000,010,
549,382,838,767,887,070,332,029,891,606,624,637,799,427,218,543,958,493,020,
856,759,114,917,362,402,917,121,893,773,615,915,751,812,492,407,419,271,986,
866,575,854,361,775,563,587,029,014,954,522,616,330,625,716,194,163,589,116,
322,897,573,443,254,088,811,965,696,099,664,251,954,894,557,788,056,320,403,
197,481,470,199,974,203,775,810,664,559,148,956,808,423,458,242,508,702,486,
396,419,587,369,477,619,499,159,992,080,927,122,919,619,713,806,371,353,878,
659,663,375,727,458,038,555,782,872,016,774,539,752,420,279,925,560,792,594,
369,368,166,694,534,813,839,733,663,183,974,670,287,900,391,902,164,555,005,
305,077,012,413,107,547,396,914,133,377,528,083,641,426,263,318,382,838,198,
054,448,779,621,523,499,663,739,591,309,656,833,117,629,146,356,153,590,626,
098,071,372,064,389,048,561,468,912,183,750,914,134,115,188,010,706,978,964,
275,170,489,343,205,299,096,575,786,235,097,579,661,464,723,646,001,218,606,
812,819,038,503,232,460,834,969,532,085,412,501,336,633,115,368,988,508,874,
633,066,079,247,349,623,393,157,595,649,534,873,522,842,540,784,637,410,328,
840,456,695,180,779,624,523,794,219,696,397,042,476,240,060,108,766,842,941,
893,731,223,397,388,698,651,914,644,507,370,070,134,932,782,805,886,949,429,
878,544,829,345,169,397,833,162,417,098,468,510,984,511,473,834,214,353,568,
241,513,769,189,477,667,352,178,389,910,786,172,861,007,881,461,069,728,612,
100,991,112,566,035,034,299,129,113,692,571,311,375,142,949,186,948,166,561,
306,069,115,291,303,979,079,031,716,978,092,298,419,695,518,000,643,800,916,
194,384,066,221,854,156,597,504,423,006,972,694,165,868,081,567,967,131,369,
819,407,447,661,803,488,885,353,584,225,706,193,533,665,752,856,906,796,717,
604,499,472,924,353,460,177,274,043,932,765,621,454,616,575,635,274,422,673,
459,569,458,247,347,849,567,461,891,094,086,695,512,955,669,211,072,542,940,
393,822,477,371,514,167,747,095,534,277,475,304,737,110,241,228,672,718,985,
623,164,508,874,060,962,510,810,358,210,315,718,857,096,130,152,807,097,669,
239,426,008,724,366,526,635,074,830,650,525,191,514,716,222,738,823,544,295,
535,123,795,205,876,081,763,672,042,670,545,504,201,311,400,695,345,393,144,
978,133,509,222,856,449,493,654,759,897,055,006,265,022,711,101,408,542,427,
762,000,380,723,337,453,238,144,703,785,425,840,721,436,437,887,849,822,002,
918,081,392,935,800,004,241,544,166,812,812,805,783,738,379,346,182,372,112,
935,342,716,452,929,252,243,899,716,427,215,591,080,569,349,081,473,919,994,
083,643,437,768,174,812,139,599,584,619,378,483,115,465,686,194,111,720,660,
318,840,718,004,213,380,791,973,575,422,620,099,520,805,762,888,281,598,128,
016,055,410,790,389,976,144,246,242,913,061,077,291,724,823,432,191,155,460,
138,841,240,789,888,653,301,520,194,718,321,947,065,064,989,010,895,299,058,
457,366,672,781,857,278,973,327,778,449,375,504,021,042,859,935,199,623,800,
855,687,940,388,966,855,150,670,604,272,837,881,840,714,842,714,671,405,355,
698,521,453,743,959,961,256,158,604,084,100,584,038,880,494,832,184,052,786,
111,548,945,691,426,204,584,727,835,147,339,375,411,632,005,498,856,175,090,
390,293,799,333,106,118,775,333,199,793,023,181,099,003,872,439,582,749,775,
070,684,261,434,731,135,994,116,916,772,570,558,503,109,302,819,707,503,662,
297,575,034,345,742,916,634,237,085,282,911,752,807,525,562,841,865,372,964,
495,012,335,936,257,830,395,597,686,655,912,017,122,048,707,131,081,096,436,
635,187,946,318,935,063,924,145,731,387,545,624,094,561,598,004,496,802,940,
030,779,777,170,468,083,078,162,863,333,472,024,501,183,220,253,397,432,453,
969,840,720,553,510,472,741,878,540,155,927,648,514,146,755,809,706,555,754,
482,354,684,004,265,026,688,192,372,504,170,416,849,250,197,524,082,218,560,
775,474,595,102,720,066,385,034,705,086,736,643,676,727,944,387,487,163,431,
115,759,204,857,112,933,494,907,130,257,422,262,978,599,825,822,802,345,252,
318,563,043,168,526,634,051,095,909,835,648,925,294,538,434,657,503,691,368,
290,588,196,865,303,444,741,136,287,841,890,643,752,863,121,577,950,512,701,
651,602,983,426,790,771,616,832,001,956,258,814,441,872,555,447,177,654,201,
360,026,714,483,354,063,287,741,794,852,931,846,016,435,567,915,410,842,436,
350,897,384,724,344,224,521,630,152,932,323,655,931,986,648,892,647,139,464,
422,382,829,123,976,153,725,807,401,980,537,319,257,206,789,539,775,329,430,
633,290,182,276,443,455,518,833,567,000,900,547,546,714,732,526,085,953,283,
543,580,635,516,475,079,395,412,379,681,419,002,807,036,592,612,418,948,118,
013,532,677,111,591,336,695,910,497,772,835,564,569,583,005,707,318,502,558,
693,725,819,700,405,274,012,143,358,695,066,209,537,225,356,880,985,269,712,
352,934,989,378,101,926,921,687,024,146,431,196,221,955,294,498,128,861,830,
066,484,591,377,728,903,883,718,349,199,108,230,271,711,016,949,926,608,921,
465,642,664,380,149,843,161,870,267,481,663,032,580,781,317,395,362,044,328,
433,278,710,245,893,876,597,719,336,737,361,260,367,895,894,410,559,649,092,
224,995,398,388,817,700,055,943,994,517,579,068,468,250,907,773,101,054,566,
777,170,363,288,899,667,099,037,446,948,894,199,448,637,177,723,391,018,475,
657,605,048,198,046,495,944,898,187,245,506,866,188,661,960,989,081,973,078,
501,996,711,506,688,297,825,679,398,732,961,131,322,378,317,923,301,075,881,
643,060,377,486,645,274,777,851,983,716,121,023,944,855,618,498,228,656,621,
500,438,893,832,158,881,388,463,088,695,660,359,310,147,722,500,085,528,683,
696,198,123,615,456,953,194,041,805,293,759,307,558,546,211,254,934,194,301,
511,883,280,803,894,895,581,613,928,345,362,492,371,578,204,191,160,591,847,
913,721,211,228,235,852,328,705,268,537,519,806,671,056,514,023,064,216,230,
571,408,871,357,843,365,555,374,988,757,081,830,369,805,781,066,661,500,222,
838,694,104,114,259,056,119,369,622,789,330,735,753,762,209,662,781,279,118,
948,981,413,727,603,054,978,892,467,234,916,608,057,032,547,130,483,702,812,
205,684,645,572,421,010,426,112,120,806,733,781,628,074,725,623,819,661,605,
794,664,061,616,992,902,801,422,141,839,316,661,098,603,767,866,960,698,972,
320,810,681,754,772,279,228,838,053,898,777,465,028,446,646,888,022,401,640,
545,764,586,481,171,844,164,572,741,944,281,985,644,972,666,322,165,231,406,
593,352,653,403,693,446,307,972,276,848,273,342,475,823,917,297,523,155,381,
055,639,597,073,848,859,306,094,978,447,889,946,474,475,454,156,822,355,223,
942,072,066,865,433,072,467,096,928,749,655,268,205,968,953,393,074,515,641,
081,023,823,565,042,432,031,457,031,507,562,205,216,613,261,389,166,486,240,
397,589,888,164,426,241,446,135,766,089,821,588,075,637,275,238,173,111,848,
022,751,754,073,919,020,992,081,932,719,251,169,954,392,756,419,717,521,894,
292,810,641,128,061,689,912,196,973,560,384,689,862,606,330,187,244,175,844,
761,257,625,860,944,288,406,779,174,046,309,511,892,499,495,539,299,335,537,
251,413,695,660,751,259,203,552,043,791,196,652,177,771,871,356,418,448,886,
138,417,526,726,987,082,489,908,057,635,190,131,937,987,906,565,776,288,655,
935,749,593,838,243,800,745,367,114,752,468,064,844,165,107,979,809,837,125,
651,539,822,628,312,887,721,034,484,288,008,917,851,681,599,354,326,383,445,
021,008,034,228,597,799,091,368,584,347,677,164,746,847,111,911,382,512,692,
776,630,259,670,221,901,837,391,589,297,608,262,191,370,859,530,575,622,672,
118,157,394,506,066,491,670,146,230,456,495,213,415,665,288,477,729,425,091,
850,719,175,523,951,010,587,788,759,332,566,191,227,462,186,829,900,950,255,
757,557,508,944,849,008,947,306,413,550,313,452,683,796,720,476,144,256,074,
031,374,306,874,618,194,325,902,992,270,720,301,458,552,266,880,968,033,022,
294,093,738,785,823,632,242,382,002,420,939,327,026,212,305,873,678,858,422,
720,478,650,058,379,794,289,442,524,561,889,622,598,581,791,483,324,764,050,
823,863,704,275,613,291,589,799,569,409,208,381,447,516,078,349,797,151,684,
394,802,694,259,285,901,568,424,731,882,685,428,205,598,514,194,617,807,574,
423,402,077,665,477,553,191,375,991,409,087,471,483,348,480,634,746,101,123,
929,223,734,003,264,082,964,405,122,377,070,260,286,998,460,661,857,747,373,
519,556,347,017,628,370,873,894,939,622,864,000,033,988,747,375,116,920,320,
951,266,270,236,795,943,681,738,647,681,131,750,093,662,661,429,141,947,374,
279,598,634,972,118,491,788,926,559,820,015,351,591,330,024,831,506,996,057,
440,739,667,199,320,587,588,085,154,517,966,751,259,631,051,443,809,503,665,
195,005,331,883,172,742,913,455,801,666,031,028,450,036,032,748,871,405,904,
900,242,515,661,458,302,168,850,224,052,174,965,700,054,615,504,219,329,964,
024,429,002,226,895,401,151,248,928,170,439,041,241,646,162,328,125,546,950,
595,384,760,713,119,668,130,782,598,371,215,144,547,916,605,108,651,829,007,
540,611,782,919,716,031,404,159,148,003,075,859,064,839,247,883,657,288,455,
086,838,659,077,047,457,240,222,360,901,675,395,029,322,495,961,129,663,130,
230,284,353,586,070,054,554,932,774,577,239,520,161,615,746,761,953,869,635,
983,172,768,096,695,618,877,984,033,181,578,948,272,514,663,521,925,648,260,
563,168,212,833,649,979,154,413,495,886,399,077,024,985,142,941,861,885,381,
969,777,453,152,874,450,449,788,147,606,466,936,776,003,696,536,215,130,610,
427,544,553,516,983,224,428,618,374,753,669,609,466,128,005,088,926,123,983,
118,030,421,254,942,487,099,600,946,214,440,997,195,849,674,488,591,875,669,
579,744,928,362,242,921,519,598,638,064,707,072,174,512,507,560,160,205,791,
203,684,711,197,918,248,807,860,424,548,664,242,434,279,615,775,377,790,018,
978,447,537,885,064,935,359,904,728,017,199,797,549,461,929,439,963,218,858,
958,552,669,875,299,603,032,060,525,296,433,729,350,044,117,156,793,574,655,
443,946,120,020,798,713,794,152,993,098,751,186,861,826,925,557,646,881,780,
207,613,515,680,714,178,505,064,278,266,681,573,823,606,061,147,566,501,077,
160,770,236,306,231,002,550,521,826,386,547,744,433,190,740,652,187,456,056,
760,076,842,404,266,578,121,786,580,875,886,476,276,891,059,985,299,222,649,
343,806,723,279,226,236,261,921,800,923,642,314,824,210,792,425,263,555,952,
417,973,457,825,430,937,664,845,167,893,038,547,262,349,559,058,309,221,359,
127,436,430,254,837,679,417,015,792,256,642,244,792,970,969,362,511,912,976,
356,704,025,769,218,823,835,673,729,315,095,143,667,753,348,801,681,242,861,
242,212,558,925,625,683,510,092,917,890,282,281,730,318,041,293,255,907,941,
046,411,354,202,626,440,235,161,799,572,372,957,458,768,390,253,726,091,270,
608,412,115,412,268,817,313,484,049,781,997,297,841,903,801,368,099,220,944,
789,880,812,508,359,429,140,224,818,921,571,549,223,080,355,978,789,081,668,
674,962,691,041,337,376,299,619,526,765,884,738,409,488,904,173,624,235,943,
901,398,140,149,179,936,765,350,145,054,825,002,292,981,359,512,891,218,947,
454,045,885,982,624,162,857,713,125,370,099,125,004,868,580,309,682,250,629,
760,714,411,268,321,247,230,297,497,464,203,232,312,905,783,750,270,082,405,
569,622,447,563,348,949,192,925,833,210,133,523,037,182,274,207,814,625,586,
298,547,131,049,110,568,465,794,148,264,459,045,050,776,409,849,470,601,654,
340,397,984,556,748,166,937,808,419,400,390,591,388,461,567,270,857,833,624,
281,803,085,868,443,900,743,292,523,267,152,025,426,082,212,360,594,924,375,
847,944,740,981,259,059,380,211,919,759,902,829,123,168,900,462,686,633,437,
609,108,565,580,520,244,641,122,021,955,401,056,370,600,040,892,250,319,134,
505,438,855,286,940,363,045,892,859,022,276,115,838,459,350,360,921,410,244,
483,767,443,364,102,782,276,688,495,687,959,141,849,904,596,047,855,417,860,
369,067,924,646,512,074,010,268,165,866,419,635,567,593,581,688,171,605,449,
158,641,106,655,932,517,766,136,854,727,477,445,568,564,807,576,305,055,056,
884,349,965,499,247,899,154,118,889,186,879,555,494,014,265,910,830,139,078,
977,450,407,400,972,869,401,529,196,814,906,702,320,579,232,653,270,820,227,
586,821,268,128,718,846,853,856,777,246,179,807,470,040,302,246,608,666,963,
340,816,367,282,890,221,344,868,366,805,621,636,654,010,383,357,916,819,102,
012,748,320,823,154,136,759,337,589,157,572,296,335,256,814,080,533,348,934,
387,603,210,667,556,580,014,772,716,459,055,873,494,258,268,399,748,378,314,
082,353,376,903,604,860,657,774,131,908,469,160,352,577,545,992,059,989,939,
288,660,978,095,022,571,529,532,333,603,352,664,692,556,912,387,097,593,699,
534,670,706,845,840,194,507,491,559,175,501,798,436,262,023,354,965,057,913,
295,311,414,355,664,926,698,737,710,507,887,892,309,692,626,677,534,119,865,
486,964,556,623,370,975,669,530,562,179,872,611,215,442,187,202,478,593,234,
893,467,492,626,988,324,830,812,174,872,413,790,406,966,093,139,989,238,571,
195,094,764,276,637,539,185,407,776,693,378,231,797,009,094,900,907,381,064,
780,937,971,514,124,703,109,629,811,568,607,232,990,467,724,199,127,405,334,
621,148,106,357,989,671,281,380,633,961,809,251,064,896,190,421,149,465,242,
593,991,022,731,050,756,859,032,884,619,751,955,826,747,662,028,151,522,672,
803,220,648,302,655,760,040,745,112,221,401,576,612,627,694,048,045,593,116,
430,065,402,618,272,385,409,341,143,137,438,203,794,939,646,893,667,828,345,
536,094,727,741,033,572,156,290,028,083,841,160,650,010,516,967,799,191,358,
832,645,584,221,257,384,233,975,433,211,688,281,045,763,358,382,724,483,673,
529,859,229,794,692,465,585,384,098,206,866,652,999,340,946,851,206,179,506,
441,706,074,238,033,534,010,863,525,081,926,234,167,807,355,919,756,611,888,
917,784,774,646,173,051,621,384,127,298,414,762,884,374,165,433,835,981,960,
158,824,823,226,576,981,378,650,532,145,970,473,811,959,377,246,862,467,764,
220,732,761,906,938,100,230,557,425,860,538,654,717,789,117,879,628,634,372,
947,197,835,455,540,878,703,835,737,207,803,669,971,799,544,456,142,298,926,
266,478,802,553,075,676,542,130,854,884,159,102,936,719,324,209,254,847,418,
327,223,897,966,346,601,463,445,613,905,842,873,000,538,747,716,092,702,388,
846,903,753,427,995,074,326,876,424,216,630,224,052,051,774,468,373,803,600,
137,309,735,913,323,554,245,459,785,461,847,142,585,292,071,312,039,234,717,
694,262,751,850,539,000,188,010,960,116,471,645,706,078,227,833,531,729,346,
133,904,148,482,694,608,757,475,241,873,115,765,766,841,465,721,458,248,705,
753,095,023,908,657,189,095,012,662,390,727,130,686,990,540,378,469,314,171,
641,549,708,477,974,119,229,015,294,262,784,672,114,359,270,285,362,185,830,
354,289,320,883,606,273,073,342,727,228,494,311,880,405,986,148,386,711,768,
411,033,413,357,734,985,893,052,354,787,121,279,667,755,800,131,105,961,537,
407,374,541,091,637,409,679,724,478,407,189,413,225,770,228,999,018,418,985,
003,351,338,871,787,407,531,375,599,824,741,186,466,646,702,766,370,932,270,
230,115,891,932,609,457,244,882,814,688,705,889,395,710,233,326,398,326,966,
653,179,008,729,651,711,206,107,231,858,511,676,176,330,137,486,653,468,668,
897,371,050,636,339,704,104,655,097,219,681,167,480,845,989,759,818,697,850,
367,465,421,335,786,153,447,946,250,228,531,531,984,264,956,230,245,023,568,
871,968,136,591,468,679,988,474,297,102,851,978,561,005,107,064,277,413,214,
812,828,652,815,352,790,797,541,485,234,351,838,646,000,885,192,627,364,036,
544,460,698,862,015,225,801,325,299,006,214,037,860,661,884,617,846,744,181,
686,105,624,178,665,514,850,834,273,611,839,951,414,113,932,954,898,094,020,
775,526,588,859,222,968,330,619,069,437,222,305,705,020,099,608,298,685,769,
100,363,297,395,533,787,244,493,605,870,056,318,270,680,873,445,467,614,056,
773,664,948,716,783,451,022,528,912,537,393,188,217,798,314,612,445,403,351,
668,182,895,029,496,437,743,059,041,605,014,753,508,392,977,377,494,129,431,
307,278,217,377,952,219,740,654,589,705,521,938,183,714,953,293,324,173,234,
811,174,674,520,266,942,043,506,331,000,932,593,600,852,627,245,187,648,647,
534,617,067,174,187,165,903,353,471,349,710,182,972,143,687,401,369,977,054,
680,290,179,312,805,525,300,863,622,276,439,629,485,409,801,901,828,270,008,
786,504,280,411,947,855,622,749,019,118,450,048,579,416,938,195,623,197,302,
636,335,657,098,846,593,846,812,656,505,376,405,022,460,666,950,774,524,510,
688,746,048,643,079,249,167,836,151,891,469,016,791,443,123,221,556,932,089,
191,753,851,027,187,500,350,233,057,311,775,580,042,435,932,144,152,923,439,
533,482,074,097,366,213,351,878,574,229,753,320,586,136,515,096,023,222,420,
889,486,045,271,455,005,845,757,203,669,291,796,537,922,060,379,752,515,698,
480,173,672,090,065,245,950,472,785,317,262,211,474,648,336,655,324,984,781,
395,764,567,747,126,120,148,151,511,020,933,092,716,138,300,401,172,122,106,
004,265,886,964,272,793,522,291,958,857,229,289,650,036,569,742,402,633,571,
722,423,061,898,682,352,468,666,757,484,835,325,831,202,860,140,048,245,143,
165,613,455,237,406,825,836,556,476,789,832,611,818,412,896,905,202,064,515,
110,982,341,631,510,669,786,018,500,981,756,590,598,774,697,542,470,700,898,
229,563,405,274,216,980,169,130,928,107,797,098,115,890,414,929,413,600,237,
558,833,663,103,023,749,574,681,287,865,221,502,552,013,250,777,109,874,386,
899,803,637,037,751,281,797,440,102,875,139,385,670,556,078,674,455,847,105,
493,659,143,978,046,862,441,269,555,267,130,890,131,287,304,206,896,015,233,
723,801,749,478,870,256,281,693,719,968,458,681,189,876,779,270,248,705,700,
455,187,866,041,342,154,882,442,832,876,828,427,504,135,608,436,233,481,460,
489,180,423,234,766,020,049,689,822,584,467,158,537,496,296,906,745,721,329,
325,074,417,482,533,360,137,439,057,604,857,796,657,712,226,900,782,591,933,
459,012,986,559,030,369,578,564,691,926,663,778,230,028,470,842,740,404,201,
771,420,915,331,580,341,479,823,594,727,803,214,819,638,558,621,256,270,033,
940,079,484,821,287,151,313,313,595,436,791,118,851,035,065,790,172,199,904,
018,183,130,163,455,672,262,146,813,820,037,693,877,400,338,871,992,706,469,
375,184,506,919,512,650,880,651,585,317,932,341,874,486,037,294,417,461,797,
073,390,691,285,560,366,262,644,874,176,046,656,825,728,010,801,385,043,971,
748,657,128,503,194,394,685,890,002,263,573,554,704,255,198,208,776,719,182,
311,145,500,819,677,955,383,396,763,977,451,044,130,835,702,068,641,627,568,
479,862,989,995,878,311,341,699,350,035,475,441,239,065,511,317,254,684,971,
665,999,346,317,513,978,930,435,055,636,793,225,397,181,542,829,205,741,948,
798,287,802,514,825,438,280,171,420,300,883,295,303,317,801,399,060,254,194,
073,301,590,068,130,445,007,536,398,693,742,987,998,502,192,557,111,016,247,
572,681,151,495,770,434,775,280,159,909,295,373,618,731,112,097,184,053,238,
837,789,225,234,170,719,597,465,059,981,142,557,212,014,540,999,232,550,987,
806,440,719,619,826,188,199,982,329,249,954,987,593,912,216,135,870,690,749,
981,286,236,911,268,413,649,686,870,826,578,861,649,749,897,551,379,884,464,
995,174,845,063,750,260,129,536,786,678,250,154,341,958,222,130,847,389,040,
643,390,261,178,770,136,671,679,759,752,975,436,828,764,721,490,959,700,803,
927,199,768,840,630,276,223,881,092,186,171,329,900,934,273,945,557,672,281,
839,149,052,464,670,973,791,710,664,171,392,205,833,040,286,427,689,902,833,
878,110,971,570,073,515,504,752,182,245,351,821,819,295,967,402,576,116,746,
116,315,280,881,938,218,113,152,503,538,816,429,723,573,480,154,634,900,069,
329,844,450,613,839,622,607,173,563,776,019,815,999,383,723,716,988,954,228,
988,938,426,922,473,679,262,739,802,067,235,886,600,910,313,797,828,265,746,
788,015,420,693,823,249,092,407,406,547,054,978,744,010,121,541,906,381,074,
842,591,096,758,166,191,285,589,742,023,730,305,304,505,047,905,571,860,575,
160,057,250,990,608,789,014,571,350,071,276,673,962,650,851,181,121,636,606,
134,329,141,384,976,441,251,840,433,513,221,872,421,020,600,677,404,486,411,
286,834,701,353,083,308,030,818,276,214,193,123,553,713,551,629,580,175,602,
532,888,846,840,285,263,954,723,602,522,346,703,144,976,288,207,478,117,763,
959,554,803,989,033,568,903,772,677,015,701,160,553,042,310,574,786,886,522,
332,355,419,232,210,716,506,550,738,933,107,137,202,549,373,482,372,543,491,
199,244,021,744,854,358,265,462,494,574,854,763,767,491,427,269,407,871,724,
727,919,853,147,851,832,555,228,198,226,083,718,737,572,473,460,155,284,712,
691,408,507,172,986,429,995,406,790,478,033,721,341,903,686,193,422,159,537,
615,196,530,883,042,394,253,831,943,195,726,728,959,285,633,540,184,277,986,
369,923,530,159,963,539,531,164,133,905,879,525,472,467,757,822,021,442,587,
619,794,753,825,093,769,099,786,516,392,367,181,894,181,998,570,643,941,579,
575,684,063,821,323,583,988,557,940,485,231,454,432,451,318,993,016,626,944,
040,790,492,063,147,314,040,069,980,260,124,927,312,311,947,233,446,850,682,
695,585,946,838,141,276,640,104,067,400,701,521,948,366,155,485,454,753,771,
732,293,526,882,248,825,722,946,886,812,020,291,794,595,980,126,167,098,359,
996,215,751,636,120,841,112,789,436,249,936,826,182,463,743,807,749,677,808,
238,862,536,813,117,119,607,788,631,145,151,710,058,315,448,250,747,541,404,
169,327,564,651,889,990,024,805,992,313,243,637,058,669,837,842,940,181,461,
295,864,486,211,272,562,058,687,075,121,324,873,866,098,717,516,776,109,492,
699,862,247,169,371,885,997,373,582,074,822,810,218,784,594,670,747,374,568,
715,338,668,159,530,861,710,451,998,216,438,664,838,103,286,690,807,368,481,
822,866,875,050,694,068,797,914,484,840,051,910,374,692,243,633,677,425,802,
481,049,629,942,567,389,201,585,853,403,982,467,840,522,551,402,626,240,946,
453,473,563,612,613,179,281,599,797,110,790,382,540,353,609,582,725,415,806,
020,737,123,177,138,322,076,535,520,715,404,146,327,801,198,352,312,133,957,
042,215,278,504,338,433,119,491,701,614,922,757,182,199,212,416,801,233,006,
927,887,111,641,362,999,920,823,362,174,471,631,640,381,498,735,734,718,882,
739,947,657,477,215,843,555,360,870,010,714,886,394,127,323,182,278,794,023,
948,831,004,091,731,493,194,596,050,048,391,887,544,961,788,990,005,123,800,
252,721,278,132,324,096,666,920,646,842,029,161,484,042,042,419,602,745,234,
898,467,942,610,043,024,874,687,178,045,372,770,980,513,890,734,356,572,852,
154,846,923,527,523,971,468,145,826,246,615,624,545,938,187,702,874,755,646,
589,183,956,962,396,746,815,416,905,552,809,831,604,366,092,498,198,273,603,
845,085,312,155,908,531,883,853,520,637,150,615,363,418,596,736,275,901,470,
749,153,346,037,197,669,279,114,994,953,794,911,588,674,417,009,154,898,146,
872,565,878,263,088,134,698,577,324,458,784,932,757,489,059,550,366,601,718,
442,130,740,846,159,159,038,456,155,379,564,558,121,212,560,857,020,297,386,
259,169,696,769,398,909,969,382,216,601,367,954,906,644,961,368,786,906,493,
690,445,231,121,387,588,172,187,383,544,665,303,849,072,766,747,849,856,560,
400,410,099,093,605,792,101,739,085,769,536,639,213,507,778,091,568,845,367,
149,999,104,931,340,019,046,285,511,679,181,760,152,791,448,509,500,205,339,
775,411,353,689,819,433,098,618,268,719,331,234,586,189,384,244,072,160,664,
483,062,552,569,123,895,483,145,388,477,484,587,547,381,411,844,800,950,918,
824,560,828,125,650,468,050,902,536,207,791,625,026,437,354,419,016,717,602,
483,768,971,722,022,300,757,765,128,891,843,546,727,082,510,247,016,090,273,
230,923,570,860,911,027,988,573,825,640,893,918,860,318,261,775,478,404,415,
331,729,309,998,954,234,752,038,633,784,978,577,171,425,548,333,772,976,028,
965,834,000,283,988,355,618,688,422,790,866,185,091,057,588,259,038,496,761,
919,198,677,688,657,554,403,562,785,982,027,255,766,078,923,794,244,457,001,
301,060,018,239,146,016,111,797,398,027,882,942,999,498,705,044,950,442,419,
263,643,435,558,918,209,729,748,362,086,970,038,153,767,502,363,539,804,791,
385,192,530,988,208,424,106,223,324,153,583,075,180,790,858,824,439,070,648,
262,517,762,909,489,610,329,612,781,976,775,210,530,676,814,565,315,865,301,
609,880,659,550,537,083,148,122,197,221,280,386,393,706,303,864,193,457,191,
101,447,662,028,039,092,835,826,285,254,876,751,813,983,888,420,365,268,235,
516,010,713,691,374,900,110,834,619,128,466,077,444,689,955,584,503,735,649,
039,257,775,384,407,631,831,335,549,269,650,119,240,961,746,643,337,434,229,
722,661,578,571,194,907,980,219,108,546,470,321,975,793,644,909,043,475,424,
017,858,434,420,573,633,682,894,595,520,431,831,611,917,963,152,453,751,453,
897,908,500,881,664,100,485,761,067,663,674,015,080,233,109,355,013,893,947,
582,444,785,804,670,819,134,539,726,795,193,115,723,280,837,565,155,327,311,
655,562,739,825,751,892,721,561,335,217,548,497,710,416,430,319,698,664,616,
177,687,253,185,399,200,192,460,454,235,990,055,469,920,955,437,551,091,115,
408,493,731,218,826,115,026,150,064,067,400,209,276,415,391,517,332,724,267,
477,347,029,664,210,193,421,172,633,999,379,187,104,776,762,044,039,061,200,
981,109,203,985,221,578,181,013,876,175,700,020,614,941,466,411,529,354,946,
555,417,971,294,454,166,773,630,175,463,680,780,656,871,139,602,333,778,053,
801,355,382,123,002,847,656,420,789,268,418,276,913,125,596,238,556,004,424,
191,664,918,547,270,643,099,122,804,006,434,270,136,535,304,347,065,992,326,
030,355,793,550,648,746,189,668,584,156,948,588,542,966,171,975,273,401,721,
552,586,400,432,935,255,886,906,823,126,588,608,336,381,188,372,283,355,021,
735,832,041,254,832,977,468,872,196,572,235,820,174,578,354,833,040,699,818,
222,278,611,084,971,656,294,104,994,555,935,873,312,259,964,308,377,072,066,
486,411,925,888,204,160,093,887,090,788,285,809,597,818,027,788,409,380,216,
647,970,027,917,600,386,682,039,670,591,025,095,253,815,939,937,580,121,015,
311,060,695,117,824,874,012,398,256,808,553,859,189,194,642,516,626,752,137,
071,178,118,400,405,631,258,199,742,273,952,874,221,902,920,707,483,432,382,
702,586,123,771,598,244,873,899,820,352,210,298,773,703,027,734,963,442,343,
383,360,561,119,159,989,627,696,959,740,369,611,152,752,192,988,992,981,442,
798,013,386,459,208,025,604,950,800,176,919,267,034,601,023,549,926,519,427,
969,495,167,251,631,443,010,184,424,012,789,760,993,642,065,670,940,781,772,
811,200,039,549,814,935,951,999,328,579,916,571,349,890,767,073,294,692,505,
942,546,592,565,225,619,315,636,053,199,415,642,331,468,074,393,354,906,270,
887,440,042,644,507,771,954,919,764,741,290,567,976,697,648,249,333,178,060,
387,155,911,727,947,265,770,080,696,128,912,822,471,236,312,456,580,535,839,
101,869,725,191,693,345,979,470,964,291,589,926,724,623,352,965,610,853,637,
355,287,003,110,486,254,209,315,087,413,042,685,212,489,745,144,736,037,067,
403,133,921,809,961,246,331,670,605,718,920,281,638,816,579,472,755,202,366,
277,369,285,332,871,593,883,207,546,355,317,583,304,012,882,163,633,985,835,
072,817,439,399,923,376,580,462,111,893,251,854,636,077,971,195,033,070,843,
008,139,448,602,189,252,688,351,151,551,871,090,576,806,217,075,550,410,566,
914,770,235,685,114,903,562,349,576,928,684,032,175,822,657,051,697,517,487,
140,255,568,001,673,266,449,197,341,702,599,351,711,328,747,739,238,992,505,
615,957,127,846,779,398,616,637,252,471,908,629,673,369,673,323,046,747,446,
097,833,899,103,229,646,071,203,908,023,852,592,920,896,378,114,075,054,599,
467,311,690,934,760,193,373,150,308,237,260,797,281,553,594,221,171,110,464,
682,951,836,417,782,605,018,651,638,008,216,952,829,455,300,669,117,489,020,
958,722,255,659,194,654,451,660,836,031,264,252,756,882,148,594,386,225,383,
477,842,175,911,160,865,303,461,052,808,084,011,194,115,506,136,923,090,830,
666,743,339,679,660,947,537,890,356,177,404,957,325,041,887,599,495,089,616,
751,296,017,353,658,182,575,221,735,425,000,053,264,515,637,362,653,098,159,
737,378,390,948,110,264,298,510,231,604,634,412,152,095,713,161,697,738,299,
038,668,533,098,151,275,814,122,846,282,442,001,790,615,681,705,147,524,245,
849,293,894,958,978,302,564,986,295,894,350,373,590,075,458,300,215,198,995,
650,692,933,667,369,672,824,405,161,854,287,617,393,142,275,447,573,361,011,
151,770,764,731,311,252,489,544,335,347,438,014,723,034,672,205,959,301,183,
616,406,149,146,667,244,455,493,510,058,659,149,962,197,090,477,653,703,260,
931,354,021,127,057,943,219,153,003,307,357,085,306,914,668,570,438,937,843,
344,392,842,994,114,084,385,597,773,730,675,333,285,200,809,434,016,120,627,
802,604,303,622,154,710,903,626,814,945,460,485,410,498,754,404,294,590,720,
231,776,546,863,818,071,350,405,830,007,525,630,229,788,186,588,479,256,747,
086,725,022,550,603,036,893,538,914,219,904,301,653,623,815,905,927,572,529,
227,886,132,607,762,702,814,779,603,467,803,770,790,799,338,671,435,780,234,
804,545,474,119,323,487,370,651,962,985,993,397,184,334,881,822,571,012,985,
879,697,036,179,660,744,118,503,675,071,763,596,674,266,972,396,776,884,274,
576,895,420,730,503,734,752,889,197,558,654,141,558,290,851,827,846,388,429,
616,680,746,732,048,630,793,037,061,751,314,969,987,388,855,322,578,083,954,
026,044,391,964,565,100,421,491,673,438,428,785,153,165,354,762,009,800,153,
242,523,878,295,637,957,788,232,391,841,149,192,242,370,512,921,825,610,019,
302,883,253,039,823,757,101,077,778,810,112,736,710,060,785,941,237,717,336,
495,229,978,922,329,645,995,093,965,026,877,594,969,604,747,720,548,121,756,
195,162,230,574,925,120,611,269,036,248,833,851,152,905,989,319,869,706,707,
711,694,049,423,921,991,706,893,571,364,349,985,590,074,985,596,401,932,428,
580,442,781,135,476,495,273,335,488,815,042,499,244,659,993,909,395,226,077,
348,032,585,022,073,712,923,083,120,646,382,777,188,135,852,493,984,772,639,
616,327,036,611,357,938,642,048,353,823,724,130,398,052,327,593,477,802,338,
201,740,300,014,928,587,203,532,371,082,928,804,354,434,794,563,106,849,079,
700,047,041,176,435,522,312,411,814,045,581,118,044,975,035,254,880,113,178,
287,043,412,900,601,743,895,078,436,568,509,855,862,694,584,762,914,517,621,
377,042,807,067,145,385,683,291,982,617,049,402,549,476,291,298,249,156,425,
325,543,616,788,727,277,106,245,779,639,396,791,186,156,328,148,196,164,320,
109,381,893,922,624,162,185,657,951,436,544,736,887,723,680,310,526,260,423,
095,271,141,916,544,870,915,382,513,465,591,861,521,789,962,887,659,755,299,
502,850,730,208,990,746,329,221,759,542,900,438,861,609,104,010,485,322,442,
125,720,381,807,936,963,257,558,384,787,174,683,955,547,690,226,215,378,790,
339,369,161,357,774,519,794,799,774,750,977,888,146,360,433,030,039,078,722,
366,809,694,904,328,977,192,097,820,772,429,155,944,248,231,111,757,185,609,
306,832,699,242,287,752,017,754,706,836,203,299,990,907,286,947,087,864,270,
773,174,564,485,836,824,554,733,725,078,528,614,125,642,117,851,732,239,917,
348,194,338,845,277,886,836,763,418,878,387,776,215,927,258,966,411,687,591,
733,878,060,949,242,412,954,935,644,775,535,018,018,983,184,663,207,110,958,
029,673,919,222,544,967,595,050,845,621,715,253,339,063,652,560,349,769,825,
214,098,650,887,602,803,904,324,424,792,759,633,118,515,953,188,460,398,658,
576,240,287,637,562,184,911,502,953,285,996,851,708,213,681,588,751,238,466,
760,301,463,580,736,375,588,817,743,452,370,616,132,041,984,293,337,240,423,
936,880,408,801,643,142,898,867,254,175,452,902,442,881,160,063,282,071,995,
216,759,186,864,191,941,054,170,994,324,405,966,208,902,310,660,502,670,999,
498,163,983,372,167,441,927,844,286,541,007,617,546,109,482,958,743,976,559,
589,581,763,496,959,596,887,674,593,939,651,453,036,945,286,681,679,871,410,
229,704,707,821,817,564,520,435,049,651,942,021,694,623,540,130,606,624,968,
514,692,445,370,716,138,813,092,657,837,589,327,283,116,825,366,549,892,895,
704,908,467,291,307,807,841,998,665,478,611,381,049,905,053,191,842,649,333,
229,863,555,099,310,632,965,192,223,937,927,988,318,263,795,443,310,168,037,
828,944,786,328,278,478,577,903,263,802,339,859,974,380,722,121,553,566,430,
401,718,290,669,104,505,472,932,421,547,479,158,072,692,357,090,118,027,468,
410,015,263,720,050,730,358,925,517,442,553,701,275,935,284,400,254,364,025,
211,598,728,836,120,818,988,359,936,017,387,233,331,558,113,896,909,190,353,
492,206,941,138,625,568,429,185,616,037,562,429,833,170,748,376,637,010,685,
808,007,102,282,967,119,325,315,256,783,707,224,163,303,624,756,704,910,043,
732,533,209,155,401,008,323,157,214,357,775,247,865,680,178,718,686,117,318,
472,615,293,391,192,487,985,127,863,732,771,493,090,534,954,471,922,774,286,
665,714,249,750,285,029,937,243,532,812,831,076,313,702,482,374,126,591,143,
223,820,291,473,689,682,211,982,489,830,098,168,697,902,174,098,925,044,681,
056,910,759,364,869,402,267,485,489,327,340,793,595,943,395,650,769,959,816,
176,189,282,803,732,118,556,017,120,359,561,292,504,003,717,728,585,522,843,
330,661,082,190,082,040,933,344,198,678,786,827,128,316,939,873,130,961,897,
787,810,126,498,450,115,569,011,380,576,961,525,345,963,382,696,936,799,463,
584,184,269,567,823,463,196,777,038,920,512,942,545,899,834,277,032,633,530,
046,820,082,794,188,204,732,206,350,909,305,843,354,605,892,568,041,881,629,
023,545,314,297,350,236,251,812,916,666,036,006,689,612,262,860,531,189,191,
535,028,113,834,116,013,280,429,305,357,845,673,244,987,779,864,179,010,289,
343,753,815,692,100,041,883,036,483,486,656,885,695,440,133,096,837,885,242,
579,769,606,351,994,955,182,176,003,255,532,641,607,316,334,579,301,282,294,
330,452,553,023,975,538,714,818,368,903,480,071,283,351,471,098,423,416,671,
522,999,538,880,379,781,119,662,575,294,594,400,262,581,341,749,924,833,553,
171,343,783,091,597,333,581,752,793,954,437,329,545,736,353,302,161,720,155,
078,454,119,647,617,865,862,337,679,115,071,445,026,959,759,601,171,588,977,
929,338,886,750,294,686,399,533,237,819,584,485,606,938,569,614,176,851,986,
476,391,813,422,801,764,181,055,304,293,135,751,119,159,763,325,694,983,021,
069,201,672,780,813,242,065,754,753,697,659,401,374,225,577,542,862,213,350,
132,278,801,806,636,216,219,267,972,684,047,390,419,110,550,508,860,744,433,
208,548,835,898,862,704,836,627,762,327,832,879,090,960,387,771,657,707,918,
862,780,071,956,843,433,144,761,328,132,922,550,310,362,131,201,069,838,080,
452,406,468,459,396,350,569,505,430,638,709,734,993,266,268,182,974,788,370,
336,340,226,169,662,974,428,420,213,283,783,661,294,936,578,021,788,531,254,
265,534,403,246,078,847,484,304,863,889,477,907,388,760,354,088,260,418,440,
787,880,469,028,032,811,477,751,786,073,980,194,156,757,024,382,379,230,287,
090,027,194,691,839,859,801,921,952,773,042,673,655,439,434,924,758,165,884,
376,281,427,053,790,725,571,541,488,677,184,572,882,730,735,913,017,577,174,
317,510,667,902,471,015,421,073,321,600,634,637,579,868,920,651,912,564,454,
383,782,193,305,039,046,872,967,834,153,596,882,378,990,586,817,712,072,311,
049,214,511,562,030,948,662,366,633,802,827,907,615,259,342,557,520,345,177,
792,766,302,929,130,465,466,348,661,370,353,645,451,192,649,849,757,367,579,
564,818,046,722,154,454,477,500,870,811,301,916,201,753,328,112,414,741,284,
512,635,762,535,006,813,777,094,624,832,575,703,843,321,031,822,537,793,042,
039,178,244,889,811,303,582,195,553,493,717,190,653,338,713,401,179,017,135,
522,213,130,422,272,999,038,752,052,203,204,913,527,964,481,379,889,551,287,
519,311,862,042,943,527,031,731,697,575,048,358,989,025,992,185,240,389,245,
499,705,082,845,410,445,775,433,733,862,860,521,701,721,169,477,108,308,314,
237,996,993,883,181,254,909,742,526,323,652,366,203,975,381,284,186,691,065,
375,100,640,099,374,932,072,167,064,020,892,992,816,512,035,798,882,690,932,
924,789,282,052,937,573,293,445,417,120,618,860,214,811,333,163,352,986,367,
317,656,961,544,620,915,043,009,992,426,530,025,770,923,610,262,698,980,540,
709,497,078,722,326,078,522,822,875,934,579,183,908,482,780,828,331,551,748,
850,179,737,072,383,283,752,065,701,002,474,487,684,073,924,605,086,134,259,
074,947,318,004,585,519,227,922,277,484,004,481,512,156,951,765,789,064,232,
605,371,334,942,944,955,583,882,086,551,096,368,018,450,191,484,922,269,108,
271,218,133,659,052,639,438,224,091,207,349,642,620,288,555,760,341,706,771,
064,891,264,963,701,408,080,652,873,113,306,844,692,956,592,480,262,223,784,
730,448,610,883,481,107,071,009,990,278,633,750,388,898,638,019,756,275,380,
229,513,079,249,261,206,106,615,220,457,134,594,812,312,212,807,369,377,792,
131,979,945,771,045,635,659,519,555,502,162,102,142,035,360,828,697,677,787,
736,029,732,073,263,223,189,533,891,016,850,038,959,463,237,442,461,958,915,
072,538,212,484,824,537,548,478,245,990,060,468,016,706,966,998,280,084,659,
139,346,480,883,324,692,630,043,206,748,993,884,051,209,730,717,086,744,289,
107,990,451,800,606,508,944,135,842,259,356,608,333,908,060,679,147,140,274,
652,990,437,578,584,371,703,394,167,566,389,541,665,263,388,202,926,333,205,
617,166,827,446,567,316,341,775,789,875,343,272,750,255,417,700,620,730,224,
316,240,249,982,992,341,142,640,773,655,998,267,060,047,747,979,971,178,590,
468,822,328,169,253,239,366,950,004,499,726,774,065,055,102,684,835,834,397,
163,112,361,931,617,585,553,134,551,169,892,064,158,356,518,403,678,607,266,
164,386,819,843,013,110,823,110,924,790,912,383,014,344,653,540,223,810,016,
592,988,461,311,031,831,177,028,897,929,692,040,220,563,327,800,380,451,964,
789,859,240,058,821,470,132,109,923,630,076,221,154,231,015,973,914,723,124,
173,058,169,518,360,061,548,058,850,634,878,958,494,168,182,689,313,399,043,
387,786,444,045,508,097,341,925,037,202,288,025,825,582,531,792,457,307,862,
447,770,533,638,265,889,566,695,778,091,936,312,085,972,268,625,554,848,515,
542,520,190,543,323,494,937,909,636,020,391,672,845,233,874,503,811,145,362,
870,788,633,117,085,784,258,999,334,504,521,054,323,352,609,216,325,762,075,
499,763,290,350,292,270,911,277,558,290,287,266,567,780,661,717,587,073,322,
344,583,712,429,061,082,899,989,783,184,706,341,035,150,141,494,849,946,280,
277,815,688,393,349,437,036,159,701,107,711,603,408,177,388,686,685,124,270,
197,035,306,418,140,472,234,529,542,353,935,724,944,330,652,709,782,310,840,
803,273,924,765,380,893,876,724,444,285,936,469,867,495,690,810,102,903,397,
806,058,698,807,704,709,983,679,533,634,295,293,808,107,838,427,563,752,033,
371,385,522,255,522,970,625,128,006,746,399,714,873,705,679,828,122,125,638,
081,615,591,199,368,430,846,808,363,304,059,229,107,273,553,648,653,975,506,
370,338,374,688,183,771,793,196,064,315,187,533,562,513,275,396,211,141,382,
145,205,851,683,635,498,689,196,238,322,446,069,332,858,585,602,516,127,273,
383,051,487,257,252,724,461,653,607,641,120,879,165,599,216,395,364,836,162,
023,470,663,760,446,757,926,071,895,302,476,729,359,579,886,133,691,788,216,
190,853,711,507,234,409,640,717,206,225,068,571,908,030,678,700,296,300,334,
501,078,085,795,754,309,085,134,048,307,694,984,943,597,337,181,720,687,918,
815,635,544,238,028,383,864,556,565,609,783,139,479,510,450,050,682,916,374,
690,062,777,918,936,975,355,088,104,148,137,171,243,771,029,203,705,261,747,
594,397,232,460,490,280,287,305,370,901,455,917,729,411,152,991,693,100,458,
585,629,227,997,207,494,476,996,149,549,557,478,860,113,071,397,994,899,603,
146,685,706,111,795,902,733,037,849,755,856,923,519,048,615,435,706,806,629,
743,569,041,188,791,352,878,461,714,015,713,264,955,552,271,974,071,309,792,
096,130,347,435,008,402,330,598,314,058,784,234,902,036,607,546,258,467,817,
167,154,291,162,370,126,538,520,532,575,544,454,199,151,237,733,926,628,077,
726,172,332,087,347,976,258,856,135,751,469,093,981,277,062,327,289,019,344,
853,181,351,424,033,108,595,712,797,901,742,878,655,441,439,186,029,534,800,
597,230,112,938,828,976,885,528,697,989,749,593,122,406,914,380,465,072,085,
201,383,791,416,742,856,024,847,614,805,203,259,959,069,021,799,403,743,141,
304,239,573,032,964,003,446,216,823,046,798,982,209,043,204,901,783,401,964,
223,267,206,625,042,098,673,508,678,477,842,511,061,262,178,113,805,512,919,
491,910,435,107,550,935,856,086,962,291,081,884,446,985,551,412,430,769,590,
328,784,987,102,458,412,720,230,990,834,616,637,496,653,986,043,466,461,108,
477,754,138,039,281,320,945,958,359,073,400,797,756,188,849,464,168,262,561,
300,324,313,618,450,458,247,792,227,517,290,381,573,616,255,699,227,686,545,
798,199,759,471,268,169,063,802,488,319,700,810,442,959,526,255,293,937,769,
965,882,619,416,440,809,501,289,679,175,978,305,867,048,550,288,832,708,281,
650,996,244,403,398,677,587,503,909,752,293,723,103,198,961,776,291,427,106,
985,745,299,678,208,997,834,471,853,839,738,738,567,524,514,079,006,131,170,
785,594,313,378,582,881,779,793,078,074,817,029,172,159,477,098,086,588,851,
364,697,446,981,127,928,761,044,599,723,152,072,054,403,190,852,400,061,241,
886,016,814,623,006,176,893,752,381,013,966,952,419,501,811,722,376,329,957,
172,192,551,062,076,583,598,478,924,512,903,464,570,186,822,153,254,371,688,
154,283,193,346,796,422,592,061,787,633,767,837,488,584,356,590,259,554,139,
113,570,206,021,701,190,013,963,789,906,353,722,555,297,843,079,788,002,794,
858,097,002,831,721,892,095,225,255,727,356,155,332,629,598,859,384,365,772,
441,781,732,046,355,958,361,979,630,310,699,987,475,908,838,772,867,080,254,
509,597,146,091,221,338,414,142,520,938,303,405,781,134,842,402,512,131,221,
929,476,052,996,325,568,482,381,578,737,967,661,058,357,863,471,805,102,638,
073,946,022,245,203,259,935,716,449,873,510,611,860,249,984,980,734,777,974,
908,010,034,436,987,195,748,399,765,572,403,618,666,002,609,627,433,282,820,
133,861,683,378,722,593,346,881,613,246,509,138,916,655,918,258,957,110,890,
157,072,057,820,851,180,771,944,609,518,851,452,672,433,784,219,995,352,470,
793,398,077,180,671,814,135,754,515,826,652,130,479,860,794,086,217,840,630,
223,139,054,574,095,095,716,972,348,593,787,116,741,002,644,862,741,265,634,
172,415,380,024,186,412,343,948,088,740,346,915,013,976,700,618,431,382,836,
042,595,564,771,864,373,700,467,318,705,714,704,477,736,673,323,027,147,089,
714,175,593,556,477,645,134,191,132,362,924,780,306,775,854,869,881,972,151,
528,179,864,408,277,888,952,770,702,799,012,641,169,630,894,526,905,561,991,
439,662,270,879,762,815,345,154,991,100,943,509,362,699,292,074,243,205,493,
500,384,275,746,925,713,350,178,310,356,738,896,715,982,945,987,808,408,940,
502,496,559,823,412,690,580,612,212,020,678,171,143,602,348,826,885,915,820,
059,973,221,534,970,810,621,323,176,688,304,781,288,021,850,010,516,998,909,
511,283,806,529,620,383,161,219,013,188,957,903,323,121,016,616,731,623,124,
054,140,320,694,482,831,745,222,889,893,677,052,973,176,403,868,351,186,643,
193,856,047,161,634,453,201,869,639,756,041,380,897,254,635,222,499,004,623,
916,265,733,405,888,090,715,557,978,790,591,457,519,097,637,131,033,698,325,
404,036,692,111,986,845,221,455,412,445,479,545,944,394,664,161,159,772,333,
988,195,995,277,746,712,532,365,721,462,046,522,336,142,112,664,636,293,108,
576,084,507,063,928,563,193,216,600,402,853,528,364,455,805,063,029,092,446,
023,500,615,797,385,654,162,486,744,336,513,367,675,200,351,600,122,223,646,
771,119,147,883,863,880,454,711,409,493,789,990,375,907,640,611,492,535,229,
687,635,914,518,099,096,163,784,686,550,468,399,140,147,834,362,711,363,371,
835,044,889,165,828,503,032,901,023,604,073,173,481,949,135,973,562,717,595,
846,669,564,948,506,220,568,974,723,354,636,690,476,632,856,545,769,653,684,
634,716,585,710,889,322,008,571,909,319,709,690,034,241,294,015,422,927,754,
362,271,058,919,694,425,847,676,924,767,157,551,661,806,807,529,782,826,294,
122,611,355,017,602,612,883,821,060,401,433,333,603,958,165,141,069,017,921,
604,179,978,333,556,511,823,382,658,633,281,496,829,878,633,174,731,503,173,
205,012,659,835,812,727,444,664,286,060,791,475,638,025,710,100,559,233,298,
463,470,838,349,193,977,279,189,311,468,164,845,519,444,758,725,191,409,372,
249,437,571,083,762,841,503,840,094,270,056,056,933,117,921,877,839,940,416,
456,777,064,664,148,640,321,793,723,466,392,814,219,312,808,089,321,291,246,
672,401,712,757,616,551,351,625,461,982,744,044,517,066,120,054,657,660,733,
312,482,115,223,030,707,044,528,580,136,561,366,324,323,306,731,064,784,874,
780,060,926,543,317,885,374,664,476,922,438,012,090,216,429,306,857,287,040,
192,548,442,877,449,558,462,104,626,928,839,548,868,763,963,602,206,191,030,
933,664,504,436,564,792,971,210,175,036,384,794,827,137,044,549,862,392,609,
179,837,336,768,379,426,475,500,172,066,129,593,392,280,289,582,947,625,476,
110,053,896,956,230,790,001,781,168,582,995,070,740,837,573,301,997,331,939,
044,544,589,458,658,419,705,272,279,418,858,473,416,248,911,769,552,841,213,
900,444,616,856,904,198,037,321,721,253,740,564,767,039,445,657,409,004,416,
792,166,137,119,319,732,518,364,150,974,306,162,660,236,722,008,532,976,500,
193,008,839,716,118,101,544,157,563,883,193,858,181,027,236,282,704,413,771,
058,724,545,109,675,973,591,423,118,067,572,233,137,473,451,092,093,905,420,
646,261,629,741,542,964,184,199,813,350,285,742,201,264,424,823,033,262,633,
828,564,982,247,719,264,827,112,673,802,295,570,479,880,436,690,523,902,494,
870,754,421,386,813,223,158,619,230,630,393,144,432,853,364,840,489,945,467,
378,583,403,256,174,999,530,815,219,048,239,983,704,527,287,482,759,162,632,
780,796,045,723,156,672,120,612,537,474,926,331,472,863,413,077,201,357,684,
040,628,034,995,154,612,336,890,065,696,200,038,418,540,953,951,790,121,336,
009,868,634,350,370,235,611,659,248,189,724,410,603,042,302,805,931,803,114,
245,823,502,675,516,245,356,614,232,155,706,868,925,482,207,115,003,198,845,
706,836,090,490,306,336,100,861,361,482,220,698,262,804,643,222,704,024,974,
051,217,095,475,676,525,014,053,638,929,549,601,034,509,196,825,178,780,439,
623,978,508,537,452,520,258,077,110,817,605,322,417,629,740,842,451,668,225,
322,699,972,183,844,832,613,409,643,622,583,029,667,828,952,878,949,304,116,
910,648,343,095,571,714,998,627,148,413,438,439,532,354,325,762,975,790,859,
886,810,224,544,048,742,844,761,662,906,457,778,195,863,099,743,993,837,400,
272,263,930,921,689,239,947,402,753,220,148,429,889,042,945,313,871,031,046,
722,426,258,967,261,399,658,673,576,252,637,615,814,244,293,402,960,909,258,
983,760,945,053,651,630,466,323,903,087,728,152,205,780,793,967,794,500,747,
119,490,018,995,099,434,164,127,988,579,260,057,964,777,730,646,849,046,015,
805,650,632,383,970,053,932,942,870,274,840,492,740,396,866,435,134,641,916,
033,487,591,131,856,202,511,371,135,184,038,809,482,693,909,145,013,358,918,
713,210,472,091,556,032,810,632,749,284,763,415,203,437,903,325,487,156,647,
246,984,748,919,702,538,755,837,991,902,485,703,656,183,966,941,421,776,469,
419,795,913,804,477,973,126,494,203,315,155,267,817,682,015,460,565,530,235,
708,280,474,227,507,451,578,541,383,359,459,090,472,069,804,458,863,435,375,
828,276,557,687,058,783,398,125,145,139,482,628,993,749,019,055,254,548,767,
691,634,009,485,668,316,291,458,780,245,516,354,842,288,383,556,078,022,811,
297,794,499,604,227,273,301,371,373,066,041,128,227,703,468,412,549,918,146,
027,030,318,311,466,150,380,988,941,792,641,592,450,731,359,289,800,703,183,
664,619,229,913,116,097,597,909,526,501,354,899,284,658,160,198,956,293,892,
987,768,507,883,796,738,971,704,261,107,211,583,024,176,241,051,723,278,307,
961,885,889,871,653,508,274,613,475,773,503,505,998,986,596,628,859,125,401,
191,344,952,429,794,692,098,050,487,556,392,422,835,992,763,500,694,206,068,
129,683,378,544,698,581,215,425,807,228,761,902,544,458,424,124,709,097,688,
755,675,638,551,912,524,832,122,760,279,534,111,215,528,801,689,982,001,799,
120,915,841,365,212,488,583,424,567,049,208,995,071,422,886,761,130,985,846,
103,200,927,900,532,266,590,003,208,299,108,151,221,544,842,123,401,662,546,
946,773,223,055,026,878,508,071,778,516,882,422,392,562,253,645,852,763,161,
735,576,466,353,390,489,685,617,562,823,803,946,487,129,780,592,856,774,616,
026,601,414,544,037,959,918,252,392,539,808,547,428,377,256,488,637,178,182,
652,774,095,251,620,989,654,571,135,561,229,787,481,459,971,368,876,306,440,
674,992,653,749,974,403,151,007,862,645,758,173,399,798,587,935,749,666,203,
482,660,766,476,154,277,271,643,551,725,923,898,657,231,964,869,966,572,987,
539,707,054,655,076,010,858,825,683,927,883,827,865,503,493,558,247,549,916,
655,000,297,201,908,273,015,929,379,273,537,351,287,095,440,535,899,859,889,
818,501,147,943,104,554,560,814,581,190,498,783,631,297,228,816,845,674,584,
114,345,598,116,032,836,987,320,530,297,149,877,736,059,495,757,399,558,895,
837,423,329,198,845,763,699,355,223,197,371,460,466,161,305,764,116,458,880,
912,282,810,805,670,533,826,321,189,005,142,890,353,482,705,111,446,851,719,
255,621,451,590,616,910,651,943,789,642,198,327,532,344,739,403,643,553,917,
312,418,550,364,747,425,004,227,768,690,634,748,129,138,854,508,907,040,888,
075,930,496,074,553,018,398,521,183,095,461,355,965,829,348,344,472,397,526,
289,004,861,792,985,273,844,747,919,633,997,048,042,540,271,571,253,756,643,
790,649,900,770,023,160,742,228,812,095,473,150,381,814,269,248,478,166,248,
962,616,942,355,903,678,501,491,159,482,151,643,631,507,726,785,901,871,089,
380,577,271,851,708,134,595,710,983,348,210,506,773,646,809,230,230,237,936,
056,792,791,082,681,283,911,061,064,139,196,101,232,853,915,623,984,961,622,
522,174,974,851,365,813,452,482,515,136,764,945,187,022,480,059,707,691,303,
936,586,283,692,190,155,738,032,812,240,426,432,806,270,401,552,009,902,952,
582,644,038,254,634,775,117,812,985,348,956,182,725,877,934,010,191,510,029,
766,669,671,458,659,410,851,296,148,558,740,306,801,529,051,952,576,032,152,
333,411,485,952,527,453,045,774,380,846,095,987,216,687,005,274,846,849,795,
188,821,550,374,828,328,056,086,931,860,557,760,678,488,718,986,439,648,599,
077,791,240,863,287,030,009,625,030,679,609,583,713,643,656,834,570,367,440,
480,538,192,757,373,114,372,322,705,401,948,305,703,992,424,051,672,195,947,
533,762,106,743,924,628,345,133,826,672,972,714,115,490,189,455,106,801,863,
926,357,378,676,474,652,607,902,556,539,074,370,417,275,950,548,294,217,730,
199,017,836,632,549,039,818,165,352,603,713,911,589,371,978,878,036,777,073,
541,773,570,544,566,372,106,910,270,183,440,350,903,970,861,326,433,704,251,
705,884,785,115,101,458,642,178,072,791,120,319,930,851,772,760,312,377,119,
364,338,712,304,215,569,662,622,099,976,045,504,254,029,756,875,686,136,911,
830,144,820,026,282,120,167,902,521,974,391,823,215,600,841,163,559,141,335,
966,195,044,355,166,027,044,279,536,201,391,582,614,802,891,327,740,983,631,
459,673,225,690,457,409,900,605,846,157,151,233,301,629,181,306,947,226,991,
516,745,573,863,727,275,685,779,815,035,197,429,556,726,176,495,232,300,898,
130,530,829,268,206,197,157,369,347,482,181,319,429,353,453,561,167,131,533,
234,358,905,926,351,095,726,911,282,249,109,025,821,062,103,585,441,261,235,
338,487,938,801,174,263,776,680,788,354,981,064,307,280,003,937,138,258,111,
206,264,783,925,287,756,193,675,663,784,928,307,457,117,356,452,989,281,596,
366,580,885,569,822,302,282,711,313,202,420,631,166,870,390,522,458,024,965,
916,560,047,185,747,199,776,957,569,043,429,285,036,497,019,192,278,380,512,
375,660,630,948,130,629,308,853,784,946,169,966,807,476,743,990,991,857,211,
024,815,591,698,631,214,176,610,248,451,914,220,683,345,001,344,786,446,907,
847,207,004,181,257,742,838,452,616,589,814,829,534,493,106,764,087,550,754,
830,512,551,041,249,523,403,531,365,240,694,252,107,580,311,641,465,303,880,
056,440,404,481,573,700,754,978,485,203,496,070,822,635,551,939,085,289,664,
521,012,485,597,867,164,250,735,678,294,033,931,584,754,462,929,260,275,691,
657,363,313,621,587,259,882,194,583,522,631,000,150,724,809,970,409,350,630,
934,977,001,960,121,465,222,467,873,917,158,439,923,775,124,946,592,292,201,
914,227,284,531,710,133,144,897,444,613,966,874,469,523,091,349,349,953,787,
235,850,754,008,937,199,367,500,483,691,132,063,084,655,806,991,835,792,160,
657,033,033,716,973,943,874,820,364,899,582,073,885,033,624,839,398,104,059,
221,763,296,470,413,850,843,675,378,161,218,881,329,743,757,414,439,856,439,
466,882,151,154,469,056,554,752,391,345,578,269,090,487,099,148,891,405,711,
802,903,483,587,270,755,191,986,079,524,806,430,016,103,383,447,956,505,184,
938,819,665,952,428,160,607,739,263,215,360,867,818,197,100,158,874,644,849,
141,918,590,074,607,250,737,346,806,438,795,946,217,543,503,091,475,392,950,
457,371,291,246,867,661,882,006,186,140,989,863,873,538,376,674,719,925,847,
510,951,556,392,712,259,487,271,409,580,583,463,784,511,137,122,116,585,682,
064,593,130,638,259,723,439,680,221,523,768,725,828,627,663,552,113,353,200,
484,309,733,996,820,456,934,530,454,714,758,857,334,464,325,938,233,205,565,
147,081,670,214,550,818,666,979,606,042,308,274,042,497,492,327,765,704,854,
227,168,875,118,293,889,493,749,013,845,345,574,121,947,899,762,323,306,010,
480,696,292,918,634,395,224,544,898,989,078,177,091,064,717,733,911,537,727,
685,512,800,676,641,700,233,029,790,205,006,501,955,393,185,813,233,415,294,
516,079,636,128,329,108,595,717,652,534,892,349,564,488,816,806,940,368,236,
236,395,410,037,848,024,547,602,028,353,982,509,767,448,364,796,507,189,178,
761,301,771,394,129,904,840,083,489,851,476,472,069,170,706,687,160,529,363,
139,311,700,224,215,043,918,883,265,313,456,398,583,965,336,566,024,787,719,
366,360,903,684,824,406,540,147,874,273,179,998,480,614,546,578,598,080,884,
718,364,776,047,840,564,675,242,771,152,957,201,494,577,896,722,600,565,920,
872,017,653,888,435,042,416,819,741,570,739,385,228,529,564,918,660,069,600,
974,326,512,244,574,312,241,061,980,939,840,151,686,815,278,285,367,400,233,
389,268,412,984,379,373,438,316,445,087,658,146,581,657,093,600,912,752,296,
910,493,267,179,267,221,904,151,710,993,653,891,958,429,396,115,364,252,517,
450,935,592,295,493,475,396,364,051,939,873,244,425,610,077,160,859,446,717,
754,039,743,379,576,091,000,511,727,431,681,103,710,049,558,372,957,028,875,
891,799,555,030,829,499,782,432,442,541,609,574,383,850,298,695,319,455,771,
432,207,647,949,329,704,856,449,838,468,733,907,880,315,073,440,295,624,022,
460,301,217,475,145,436,429,107,561,795,783,880,920,191,236,972,307,879,080,
574,369,432,689,832,559,547,842,257,986,685,099,881,277,398,790,413,991,167,
619,831,044,021,910,144,634,695,961,013,650,751,073,774,216,170,591,509,311,
632,203,752,500,470,665,832,874,633,112,577,589,567,098,411,316,878,831,800,
786,185,499,698,231,671,797,875,700,483,270,425,646,575,413,639,697,616,251,
548,003,412,569,599,462,837,618,834,657,231,189,759,221,803,111,512,825,942,
367,092,263,024,530,575,605,431,330,051,832,351,744,308,757,318,455,804,076,
677,513,606,768,332,496,188,954,773,458,591,837,173,171,116,021,929,451,574,
512,418,036,815,719,310,031,287,111,755,441,749,480,737,546,764,919,250,221,
012,325,182,606,332,395,053,068,524,728,388,673,196,137,675,683,635,708,263,
901,544,716,022,716,878,006,105,986,539,668,356,287,720,869,798,596,574,452,
919,930,021,440,977,008,205,825,937,915,579,111,754,806,326,776,600,251,321,
985,997,590,025,378,156,775,426,018,021,923,632,230,009,972,497,828,413,446,
135,205,506,676,231,293,706,222,852,953,476,308,678,441,447,222,703,809,785,
090,213,862,608,180,397,631,729,138,001,083,947,130,284,841,326,051,356,488,
753,348,361,163,783,505,203,539,197,928,828,670,884,083,731,772,198,762,788,
332,693,181,501,955,112,562,517,877,966,580,325,441,701,154,404,344,670,194,
571,313,188,086,502,758,449,579,138,372,599,802,359,005,802,204,270,471,247,
434,692,056,939,302,784,330,351,040,779,206,446,436,641,969,137,481,879,209,
780,017,118,385,421,212,052,178,741,114,154,776,190,584,456,102,399,794,972,
348,987,102,423,636,744,655,826,220,968,885,423,228,903,100,645,618,948,421,
023,983,080,973,414,370,037,727,370,497,851,402,854,371,621,495,444,167,152,
319,181,747,962,796,779,953,016,310,675,105,942,579,973,473,273,913,817,620,
987,889,930,512,059,138,471,060,886,180,915,381,504,219,317,372,677,202,059,
915,907,242,063,001,579,312,105,752,718,152,617,118,078,773,148,628,352,785,
644,906,941,823,886,700,658,747,532,168,564,366,801,067,013,150,684,076,377,
093,364,665,915,379,557,622,051,161,332,958,686,938,321,366,146,847,860,385,
841,529,925,585,346,785,516,483,410,014,228,651,932,099,065,649,055,453,870,
242,786,834,575,455,540,123,494,450,656,983,214,703,192,973,699,105,842,940,
160,312,269,563,182,885,926,342,116,739,833,238,017,933,765,493,004,591,946,
863,514,383,619,003,708,024,963,570,840,142,819,200,418,131,945,067,307,435,
955,179,916,407,533,094,879,539,217,044,982,718,104,906,994,288,499,351,098,
072,363,503,985,943,572,949,075,123,126,532,567,277,096,463,485,068,883,964,
546,428,168,172,308,189,533,294,113,247,774,341,346,599,418,113,159,668,680,
711,171,153,001,975,741,029,071,208,077,343,615,003,262,338,571,061,991,729,
333,695,640,554,958,655,220,137,220,411,513,282,937,221,493,235,846,294,269,
533,083,524,574,132,270,822,909,361,148,846,938,940,517,829,321,284,291,364,
915,464,277,437,846,872,913,664,544,832,474,736,808,707,772,232,235,210,215,
518,969,284,877,848,086,280,336,865,389,376,834,245,501,798,488,155,563,657,
851,168,116,945,420,253,770,592,359,312,729,110,466,450,573,606,311,234,488,
303,283,487,141,601,858,551,798,895,768,570,343,920,317,594,281,525,845,846,
015,693,125,379,204,789,907,447,633,271,665,505,630,428,996,106,970,584,768,
702,027,060,730,437,366,863,590,834,366,553,968,544,698,029,534,760,413,293,
599,690,364,526,737,728,550,568,633,949,698,460,806,480,743,924,110,204,127,
779,827,563,217,392,243,859,720,712,718,514,247,893,119,944,913,990,107,870,
977,500,425,746,795,103,093,798,430,976,656,005,530,149,559,981,489,314,326,
861,807,352,489,118,013,101,843,055,091,710,777,072,501,610,316,741,391,549,
542,726,235,915,344,819,789,506,867,084,594,440,554,176,345,887,857,601,769,
028,445,161,208,590,742,462,344,974,491,637,377,084,426,146,860,316,395,369,
775,451,338,696,016,660,249,441,589,007,342,879,182,449,276,117,388,807,468,
506,402,802,379,754,983,095,086,824,950,557,026,783,592,915,558,345,450,390,
994,379,562,791,885,902,534,229,146,687,741,358,956,116,263,707,658,819,535,
044,891,022,200,520,418,547,985,810,140,145,838,019,858,229,244,737,933,106,
423,591,164,755,530,891,501,926,427,403,951,442,159,711,434,802,702,745,405,
038,065,811,115,683,684,347,101,108,970,693,509,973,763,134,043,719,941,088,
108,659,496,054,110,272,221,507,473,818,799,451,419,035,514,779,278,068,368,
861,973,237,632,964,037,055,921,455,117,546,816,444,196,312,301,130,952,115,
997,137,220,422,469,002,296,182,828,654,408,508,386,292,163,387,247,390,510,
185,793,819,260,023,812,489,812,287,986,268,219,500,418,088,984,250,418,165,
693,032,916,679,919,054,879,048,425,761,414,505,722,294,910,488,893,265,550,
373,092,205,479,479,995,846,791,238,821,416,647,770,859,453,783,446,899,535,
933,782,247,518,497,484,951,669,089,696,431,127,764,429,485,108,846,376,712,
768,384,255,214,728,318,743,016,570,074,457,349,058,509,613,126,142,441,113,
202,571,276,856,283,394,298,957,588,501,256,037,383,501,563,523,869,320,880,
762,878,768,139,168,441,122,818,553,589,299,166,656,156,637,701,033,765,520,
813,550,370,069,941,998,375,884,647,176,530,784,653,021,792,572,796,675,123,
308,974,648,543,453,304,320,482,496,128,780,302,200,354,029,262,432,012,871,
687,528,233,648,486,202,658,978,984,856,025,809,101,004,468,813,604,074,428,
905,022,970,490,098,891,031,837,195,825,349,988,894,341,503,369,374,541,799,
289,371,241,943,771,301,963,804,319,604,489,726,624,312,745,966,996,858,710,
104,979,301,293,609,909,535,473,395,267,409,989,717,190,193,372,827,998,550,
101,645,661,256,443,924,494,254,520,982,619,563,932,737,770,421,338,773,936,
684,233,732,557,437,219,437,013,642,259,943,757,231,348,028,982,655,418,339,
440,220,917,368,059,346,002,769,872,453,324,844,112,130,804,476,751,071,232,
650,819,403,183,811,661,710,474,565,925,793,968,369,482,145,492,499,034,947,
416,577,728,040,602,368,920,584,645,448,371,370,853,373,460,342,215,494,960,
039,807,612,057,186,912,251,721,065,285,476,501,783,582,004,180,158,663,975,
509,504,968,322,567,485,007,451,022,986,322,928,532,058,559,384,330,952,491,
152,020,635,808,353,471,155,942,489,082,815,998,814,210,200,899,877,328,212,
785,015,755,920,042,952,467,972,576,774,635,193,488,976,073,379,264,491,209,
839,738,518,200,684,323,274,706,065,914,002,711,579,696,366,303,962,952,317,
068,137,990,649,105,003,843,512,437,222,188,055,613,559,658,460,892,059,261,
323,827,032,555,487,343,245,819,962,552,802,053,754,302,923,925,195,488,078,
029,200,445,251,766,459,151,323,288,026,570,677,651,713,146,808,554,342,867,
311,360,611,829,494,896,434,798,534,239,177,901,328,463,804,532,356,939,946,
833,870,619,644,071,720,106,120,400,909,163,818,961,841,243,156,170,827,215,
573,495,967,938,140,677,547,046,659,580,527,123,643,163,472,162,116,340,554,
174,947,317,414,602,458,192,035,125,531,301,810,257,800,751,672,596,038,780,
073,737,650,015,108,294,606,808,960,095,242,915,526,581,175,903,227,709,233,
466,340,416,014,187,301,666,842,509,350,015,732,477,723,693,638,802,479,433,
260,253,522,438,651,765,946,897,923,620,320,592,974,668,357,394,262,467,002,
971,497,852,151,163,406,335,697,495,261,165,165,220,196,771,464,833,042,398,
073,325,000,926,585,526,195,538,297,984,034,797,735,000,345,623,053,422,702,
802,674,447,682,600,848,725,963,131,536,247,566,080,708,816,901,655,479,630,
479,586,367,059,191,478,525,011,553,181,566,294,799,752,534,944,349,617,390,
373,098,350,807,256,863,593,456,518,653,664,349,897,056,284,491,476,681,643,
488,289,983,928,375,465,038,405,258,934,603,111,005,698,808,420,810,087,444,
300,873,837,684,638,642,125,914,180,365,263,747,494,490,290,600,443,181,565,
270,101,146,891,248,591,385,645,205,536,837,838,854,771,980,551,195,042,226,
721,886,895,031,639,762,820,093,439,903,297,956,622,791,111,370,024,016,074,
458,608,752,174,927,464,344,546,511,747,467,322,465,767,276,860,395,127,709,
644,483,401,709,457,284,548,705,925,630,935,835,834,145,304,495,848,132,929,
214,732,449,692,889,639,279,182,311,999,235,366,171,339,135,069,849,801,970,
244,052,356,018,100,071,379,101,755,019,588,767,517,321,221,908,939,916,656,
872,560,429,749,620,537,561,449,210,025,356,903,809,989,218,656,727,794,570,
721,412,580,257,471,679,230,167,144,775,279,490,199,726,152,311,792,017,613,
341,138,609,248,799,478,861,215,621,935,775,021,134,808,964,590,414,233,400,
033,405,298,304,337,460,268,127,640,089,816,932,811,786,370,377,936,661,993,
266,803,222,785,306,673,829,520,103,792,968,251,517,525,891,004,801,203,523,
239,638,126,725,342,148,228,401,034,822,371,253,793,482,633,052,939,197,056,
824,762,587,374,230,576,988,431,205,508,775,864,302,267,074,253,297,499,789,
682,073,397,161,566,939,109,993,970,667,209,261,684,697,619,333,632,736,848,
756,156,854,367,603,307,801,389,574,541,716,478,111,724,519,707,143,200,113,
066,073,390,840,241,256,957,394,798,545,477,647,173,256,107,778,881,819,431,
603,520,357,623,140,863,477,761,822,004,020,393,361,374,449,963,311,783,657,
218,372,586,804,934,756,695,474,473,553,359,621,848,331,172,898,731,119,251,
026,404,289,282,154,352,719,026,147,890,833,573,053,883,190,002,339,702,080,
876,027,502,026,893,167,785,956,191,781,931,613,464,410,791,609,084,688,746,
851,314,292,355,236,115,981,746,887,828,087,086,607,686,198,740,345,802,369,
794,468,044,463,585,806,572,171,131,500,861,680,068,986,099,503,773,844,624,
061,141,282,720,507,302,185,524,470,723,551,999,909,557,079,292,883,172,460,
940,539,919,838,107,862,527,410,964,580,262,296,757,106,596,608,180,770,518,
718,937,359,132,972,822,842,268,405,252,101,614,294,996,886,762,616,593,994,
279,656,957,426,971,244,774,516,341,385,716,244,269,052,480,270,737,641,963,
893,345,802,164,842,917,259,731,285,120,942,606,682,952,878,981,680,574,230,
506,848,019,773,104,289,785,196,241,107,901,207,871,261,435,275,380,216,801,
382,535,014,304,895,112,613,160,035,327,707,974,193,893,540,146,284,301,514,
281,391,266,349,899,210,563,215,155,741,857,170,876,777,455,339,951,178,524,
068,482,409,192,992,818,711,949,937,716,160,849,229,111,310,367,427,308,532,
291,359,511,824,692,627,328,183,573,023,856,040,699,097,416,820,502,315,041,
033,438,799,748,537,688,061,195,499,804,250,862,171,693,011,015,840,012,323,
252,882,926,607,210,211,327,762,670,366,006,954,077,126,612,324,171,608,562,
077,762,240,602,559,766,094,725,363,070,344,118,854,833,852,759,437,302,228,
824,334,169,940,482,370,893,257,812,229,857,772,762,853,639,312,696,878,588,
875,858,324,617,535,881,594,995,116,863,516,202,550,638,997,547,478,991,539,
874,000,332,515,451,671,424,544,470,331,686,577,423,197,281,223,647,528,760,
800,056,397,168,559,550,770,346,271,367,692,690,331,242,156,425,221,204,397,
754,005,438,117,341,583,585,381,678,385,507,376,049,245,033,212,407,454,538,
644,831,300,418,792,923,049,854,007,232,592,582,973,162,821,786,738,739,847,
691,957,461,838,121,742,670,395,051,344,697,499,378,188,243,909,163,269,570,
329,569,583,167,229,337,721,237,005,739,475,071,114,010,795,623,255,440,846,
127,112,363,661,389,387,462,630,311,189,812,924,643,731,905,502,569,858,857,
789,218,925,765,705,874,434,527,407,595,602,174,655,911,824,582,168,133,390,
684,916,041,132,904,948,036,602,574,869,113,189,728,907,273,476,876,534,167,
166,593,844,744,616,202,361,505,106,556,804,689,019,600,971,688,513,415,225,
627,088,218,920,036,161,910,236,653,091,976,895,499,135,095,542,658,524,005,
744,805,651,130,353,075,789,190,885,709,533,962,218,905,241,244,275,645,677,
403,368,661,570,661,704,934,208,405,480,205,171,440,329,360,552,944,578,118,
656,539,119,587,001,888,886,719,059,226,027,647,747,120,130,320,094,074,507,
988,332,493,400,037,742,696,899,933,059,668,187,482,574,197,538,065,996,732,
800,391,374,534,244,957,988,513,713,954,765,321,733,247,019,213,147,324,491,
430,315,008,475,984,928,123,068,113,824,235,947,175,167,556,508,043,664,690,
910,978,123,468,731,775,961,565,837,305,099,186,605,320,609,808,098,259,147,
459,911,360,747,653,989,434,863,944,416,801,497,294,425,307,025,403,426,268,
818,271,192,798,950,457,560,740,560,687,866,392,813,874,610,869,597,251,567,
180,952,197,610,958,127,371,029,552,379,113,151,074,053,488,094,062,315,823,
650,803,740,873,641,240,855,500,270,004,873,265,827,153,950,275,934,886,662,
030,874,318,789,632,948,583,562,440,631,439,633,564,846,981,099,213,351,182,
410,348,289,088,221,330,435,131,394,451,889,434,416,103,494,614,952,402,857,
993,377,250,701,017,776,921,378,798,545,749,543,824,537,955,113,754,514,810,
484,202,144,474,390,078,690,772,268,637,820,623,147,545,590,656,736,242,221,
481,743,810,245,422,766,391,425,559,143,638,928,888,498,864,814,087,324,605,
701,337,874,336,432,550,370,770,603,744,473,489,052,673,281,998,375,785,322,
627,424,746,278,511,746,648,921,086,341,322,594,273,974,948,344,143,300,845,
444,418,721,402,718,104,119,133,012,853,448,770,151,847,684,859,969,342,481,
286,501,549,060,899,305,896,369,530,526,997,454,416,603,576,344,896,122,172,
919,005,346,620,761,314,883,227,445,482,308,107,430,009,795,668,986,034,120,
680,765,928,221,100,686,300,964,268,576,618,103,087,883,951,699,948,909,713,
761,540,135,658,027,209,493,128,149,216,008,901,275,678,440,438,874,268,375,
472,886,213,370,238,897,680,320,854,035,690,277,838,739,286,861,875,182,851,
533,930,909,251,385,463,857,853,457,002,402,114,716,438,261,153,436,382,961,
414,942,664,170,898,058,403,137,645,526,088,551,311,672,348,371,278,150,751,
017,706,080,965,753,885,795,207,077,063,458,199,669,595,357,933,841,349,117,
189,551,886,938,246,729,456,550,224,195,577,120,759,266,737,200,549,328,816,
270,750,918,311,686,467,421,671,482,708,759,762,439,011,488,715,968,180,795,
051,435,263,937,598,758,424,796,373,229,441,386,661,736,096,464,809,794,011,
391,314,247,360,250,281,640,451,488,423,004,830,263,742,967,881,935,604,966,
808,902,601,949,349,961,960,698,235,237,625,196,008,476,711,317,925,606,494,
652,402,561,587,390,199,410,207,276,961,880,604,057,641,531,870,317,153,390,
278,651,311,660,564,878,368,682,604,840,031,396,180,896,793,415,222,831,177,
394,469,624,718,675,085,115,355,454,923,443,950,742,329,593,203,186,965,748,
774,575,592,688,830,703,716,148,571,931,711,812,634,791,808,200,723,786,548,
411,668,833,357,416,876,981,497,497,813,291,702,611,398,622,778,163,357,419,
286,072,818,144,998,331,126,814,255,112,668,449,247,666,412,140,462,569,380,
932,216,924,629,265,413,992,791,875,638,354,553,497,745,382,956,182,314,386,
454,309,065,744,456,573,439,510,375,062,403,437,318,904,050,051,285,455,539,
206,010,518,412,034,785,973,092,444,157,355,671,487,337,582,102,265,507,389,
912,418,304,196,812,991,157,033,397,773,259,596,446,017,202,615,281,240,175,
090,683,819,111,187,738,067,520,238,312,614,666,300,158,855,075,588,606,225,
035,267,462,724,476,680,441,295,173,343,945,813,027,872,352,179,091,153,350,
298,800,167,310,611,528,365,868,900,105,657,105,913,552,000,273,561,381,162,
572,988,610,410,366,390,610,592,292,767,399,411,983,665,997,771,281,430,807,
900,653,225,648,361,554,305,427,945,190,105,343,963,065,005,073,846,349,242,
012,505,905,888,821,052,236,943,426,490,776,200,252,042,803,094,189,123,117,
187,292,979,294,130,309,060,379,777,085,224,279,127,090,627,893,180,695,489,
388,649,746,477,546,550,633,680,969,852,172,334,289,109,242,240,123,486,764,
710,267,974,973,554,408,849,393,198,873,343,268,754,843,093,520,425,251,012,
005,207,971,999,164,906,665,462,581,123,244,725,436,929,590,881,725,794,727,
596,837,914,455,897,613,753,211,507,589,958,971,690,317,264,997,235,242,917,
618,433,691,195,815,120,211,486,580,487,189,416,560,536,802,440,141,579,408,
303,407,174,729,747,572,920,748,444,172,489,200,659,205,889,504,134,663,817,
621,518,458,454,778,567,301,744,740,339,887,569,240,042,595,916,485,378,784,
869,549,714,555,287,926,302,196,660,916,548,274,664,871,919,014,961,328,217,
988,087,973,664,849,465,885,838,956,920,847,796,263,412,812,450,999,432,590,
903,002,215,149,594,195,985,937,253,306,276,015,748,049,263,990,076,466,591,
832,194,759,196,965,379,835,154,414,234,748,327,269,485,095,009,132,235,476,
190,339,012,793,546,693,887,403,674,772,681,527,623,944,366,413,974,586,634,
302,754,354,866,398,051,020,840,256,030,039,448,607,243,196,181,126,383,599,
177,131,938,379,033,150,678,863,038,246,082,265,942,473,080,085,134,351,735,
916,848,558,989,795,669,768,419,482,437,856,982,675,212,239,497,884,119,771,
529,987,607,687,772,249,503,259,894,143,580,065,274,232,109,674,634,319,423,
270,474,156,133,402,648,473,071,977,441,527,836,415,135,968,266,792,262,915,
369,916,928,120,091,638,174,130,719,242,354,728,956,779,410,910,504,570,756,
005,005,296,622,020,810,018,693,205,918,120,720,469,138,836,344,620,553,516,
901,360,602,518,968,852,169,493,473,489,695,873,304,111,518,845,733,561,336,
207,450,815,127,314,326,768,193,474,785,075,504,591,351,145,088,418,930,025,
077,380,943,163,417,199,424,312,495,615,130,605,333,400,333,363,115,469,452,
543,808,026,159,286,567,294,384,825,700,570,225,380,732,977,022,638,634,026,
172,552,863,385,289,296,237,085,016,442,526,920,609,747,862,239,312,860,815,
876,565,468,022,867,274,863,489,660,524,135,289,581,338,133,924,761,659,805,
662,871,602,935,422,251,627,531,851,949,290,614,487,232,655,532,727,127,911,
354,462,476,807,740,782,402,764,118,116,245,062,208,710,339,775,739,321,430,
025,009,856,588,511,234,300,651,299,866,349,843,718,206,794,631,045,468,538,
949,458,360,318,568,430,735,390,410,588,441,095,478,556,790,589,793,057,494,
252,018,202,870,110,946,524,583,527,320,172,662,016,706,648,538,581,649,726,
907,741,364,418,175,629,240,964,052,788,812,640,814,160,987,622,628,795,926,
545,375,573,757,333,635,092,786,841,714,252,676,936,096,083,213,825,513,978,
195,483,449,915,052,973,429,998,280,670,807,966,720,059,800,090,018,034,740,
163,915,792,158,022,187,822,069,832,006,329,105,113,456,426,622,160,539,966,
278,052,804,196,951,898,356,234,818,240,380,588,823,967,613,543,086,245,210,
264,758,179,786,282,348,248,669,405,502,768,902,572,803,683,141,906,245,182,
467,802,878,860,476,527,412,888,495,783,867,323,173,674,446,194,226,669,476,
516,540,440,907,690,914,335,365,035,919,104,419,040,234,784,130,574,091,200,
458,545,738,969,747,142,236,381,486,506,505,074,887,605,863,602,223,821,977,
917,999,572,441,951,428,639,343,140,639,407,645,541,964,179,247,627,042,672,
354,346,021,344,281,987,221,193,090,889,747,734,993,140,341,764,233,957,036,
000,305,188,565,464,866,292,970,463,632,962,074,650,145,205,048,757,046,471,
506,691,846,124,163,868,592,157,116,068,302,287,436,880,457,381,589,040,449,
822,323,692,208,168,422,007,663,161,535,115,650,586,945,315,989,288,386,526,
169,988,810,902,313,708,953,910,428,834,140,930,408,413,253,767,304,181,715,
668,118,259,140,150,938,476,404,788,968,020,466,807,041,563,510,879,246,847,
450,099,028,050,506,926,560,127,357,577,013,450,511,027,631,273,287,402,541,
674,124,470,289,819,237,425,873,460,281,388,928,091,752,377,672,154,808,098,
764,845,086,108,614,071,159,940,969,621,699,785,626,721,184,332,170,153,953,
430,800,229,964,086,092,370,385,318,364,135,488,586,403,038,682,097,032,452,
503,325,616,976,817,306,892,745,026,288,370,157,884,283,501,016,813,106,496,
037,774,165,935,920,355,414,433,057,171,769,786,832,686,016,275,425,041,905,
477,949,242,505,108,793,268,971,906,058,492,013,018,277,956,547,108,185,418,
300,476,217,792,374,195,808,603,558,840,861,198,738,941,235,925,709,149,310,
148,709,088,134,112,486,981,602,006,929,978,864,852,196,563,135,629,805,483,
043,787,540,887,811,404,824,988,475,827,066,688,808,468,201,808,259,455,437,
939,451,634,094,744,861,792,584,622,536,122,732,558,254,161,804,547,915,277,
570,712,678,613,400,777,293,114,137,396,478,379,370,199,985,548,746,600,519,
475,209,071,562,102,468,843,421,397,693,564,111,475,917,353,311,918,035,175,
233,503,497,462,896,959,192,534,656,830,085,121,356,668,136,086,024,367,384,
491,382,652,581,010,494,022,799,235,156,896,834,012,079,919,828,643,221,305,
418,219,125,959,797,198,024,612,152,607,115,004,133,579,530,897,200,692,950,
077,609,702,173,222,354,062,810,133,635,269,447,427,559,085,902,852,863,327,
334,902,204,740,225,897,125,057,187,527,321,191,270,957,097,842,482,369,741,
486,257,679,697,828,698,833,626,961,036,284,733,316,062,179,940,887,732,672,
108,913,710,454,783,989,792,565,745,963,583,256,203,103,378,386,019,481,719,
670,372,157,023,527,848,356,509,882,746,001,339,308,856,760,088,811,012,563,
195,488,682,874,532,977,648,125,276,135,430,705,230,940,316,486,570,700,275,
775,843,459,635,988,950,368,474,820,463,144,582,533,594,479,402,974,829,608,
608,286,730,764,764,692,698,126,665,670,997,602,597,558,852,414,844,077,339,
120,666,213,997,490,103,241,800,613,429,548,392,619,747,852,194,001,547,943,
555,543,371,874,356,652,561,803,416,964,721,242,195,222,717,084,030,081,998,
828,135,063,695,759,696,519,511,782,937,209,712,073,818,196,741,289,792,865,
755,134,847,828,280,342,465,546,546,422,063,735,310,612,060,468,396,482,356,
959,358,485,948,038,400,783,187,044,372,733,316,040,755,165,882,749,204,778,
941,328,191,049,946,868,159,076,186,048,927,411,382,021,945,198,305,875,683,
778,606,117,234,448,651,672,614,488,620,236,030,700,689,412,800,289,225,690,
510,392,943,753,979,543,882,186,685,392,626,180,170,030,270,443,255,713,404,
588,659,416,565,580,081,234,051,224,256,354,777,014,260,938,484,411,031,140,
451,961,268,330,689,534,663,863,236,659,606,462,551,574,354,658,189,461,670,
248,625,819,800,319,573,178,141,070,239,693,874,987,311,734,499,651,577,945,
721,218,538,823,831,210,402,467,245,501,550,795,965,024,436,250,934,718,102,
394,975,173,654,116,762,223,415,408,594,060,074,202,497,752,516,368,112,702,
436,462,865,868,807,810,937,741,003,395,130,799,437,321,112,284,562,576,834,
429,126,902,858,008,398,598,950,664,562,644,942,956,975,232,465,583,398,941,
716,005,050,817,125,174,375,136,358,665,525,381,882,149,822,009,019,358,378,
901,284,625,741,746,186,132,549,550,930,890,715,988,053,340,951,759,515,550,
780,496,472,821,925,277,990,977,223,143,112,105,753,829,829,721,712,564,718,
526,750,128,900,211,187,416,205,846,726,868,538,919,465,710,555,722,340,770,
376,044,863,024,274,503,542,314,786,422,496,258,948,178,361,470,324,205,448,
573,828,101,272,299,757,245,333,793,768,647,609,558,932,711,102,699,007,290,
344,270,683,907,724,285,200,957,700,651,083,564,428,427,630,109,256,381,783,
984,175,959,569,147,777,199,619,811,520,150,480,907,404,358,770,276,912,392,
060,491,522,670,855,237,702,623,803,353,287,041,858,541,842,597,017,988,725,
830,310,011,987,678,526,364,302,174,798,632,640,169,038,454,635,487,196,211,
971,631,181,152,482,475,697,062,792,243,841,443,678,526,640,610,573,761,495,
886,313,716,916,138,342,940,849,804,516,127,964,133,231,999,634,878,659,057,
417,927,627,787,007,219,430,833,886,276,174,574,589,315,859,130,366,925,554,
507,143,258,587,007,363,707,177,327,344,183,410,740,240,337,334,720,942,175,
522,816,427,941,653,851,162,282,836,194,893,886,636,622,607,252,574,377,529,
407,304,916,841,471,358,406,505,700,619,090,070,693,336,323,582,933,658,242,
466,104,253,842,706,392,921,481,897,795,074,762,339,196,722,367,410,311,218,
190,134,048,712,583,815,064,311,115,718,079,588,530,639,241,126,774,933,395,
734,924,909,177,940,778,284,029,601,851,734,252,571,371,617,638,092,336,034,
152,561,919,021,523,119,176,176,709,806,527,924,815,351,437,286,765,089,330,
983,741,328,693,671,387,404,608,476,940,600,201,571,885,400,997,680,522,886,
143,751,593,016,089,877,166,081,058,895,151,931,449,728,357,683,402,707,616,
837,878,472,962,343,877,843,897,738,862,021,037,712,746,580,035,009,865,573,
266,849,743,190,458,039,554,795,928,856,351,625,096,244,987,464,882,301,193,
278,169,646,246,359,808,398,172,408,760,790,471,413,985,402,624,126,830,934,
380,837,674,814,301,156,547,615,938,454,852,226,545,609,642,149,948,654,273,
305,561,012,544,765,777,872,365,294,673,956,622,274,708,471,067,483,933,009,
387,245,677,590,520,470,704,746,377,528,421,173,131,595,216,273,205,318,804,
324,932,781,818,086,641,783,533,746,138,018,943,757,531,283,901,506,800,564,
154,894,753,205,787,561,155,869,028,516,574,730,635,636,856,940,977,451,305,
054,118,612,509,518,783,887,295,617,415,791,243,178,554,081,162,992,715,190,
285,321,565,750,710,513,947,713,220,355,371,946,629,635,336,131,239,670,489,
932,868,862,684,287,126,258,879,948,183,118,794,898,035,097,360,823,721,038,
588,744,414,781,218,371,286,111,525,794,470,770,604,796,670,458,579,045,208,
891,243,976,613,568,929,141,881,401,871,812,124,336,413,914,071,652,623,416,
699,304,652,528,815,817,716,424,706,929,107,256,541,157,009,929,773,176,069,
596,445,655,752,260,579,677,964,624,013,871,364,433,575,824,878,131,165,024,
108,443,889,365,693,571,213,633,056,789,403,592,644,978,902,009,995,048,150,
613,058,980,340,275,704,896,940,562,600,538,542,411,962,419,093,170,532,324,
449,104,979,018,544,815,068,364,275,199,672,713,399,374,451,775,441,942,850,
382,305,463,942,184,189,830,208,445,022,534,729,433,257,903,159,250,563,858,
621,479,350,628,846,199,632,278,111,129,941,609,491,856,642,612,885,522,776,
373,640,748,636,015,910,487,920,322,923,261,381,105,485,551,385,529,597,060,
458,251,122,486,482,719,904,368,478,368,688,311,959,282,269,142,678,951,143,
045,720,426,248,050,025,343,402,684,656,431,778,599,518,918,839,146,076,154,
405,323,882,489,399,762,373,063,818,162,482,780,295,207,007,768,330,604,799,
792,997,187,392,537,089,931,812,421,109,316,517,577,945,104,110,139,019,459,
171,260,775,443,820,171,089,779,511,798,970,029,369,667,831,513,856,907,023,
458,978,839,642,318,700,867,289,996,742,245,985,759,342,204,649,526,466,254,
262,716,605,896,272,304,727,814,275,140,982,313,633,994,513,062,779,289,542,
627,388,847,480,926,783,621,543,787,146,213,794,217,262,922,813,096,015,723,
178,409,024,395,783,095,444,067,788,872,521,247,884,292,217,042,461,738,535,
411,883,078,211,941,257,032,641,662,156,788,425,121,152,669,364,561,637,019,
879,507,413,655,639,978,694,545,798,071,734,407,029,217,516,689,497,895,292,
380,078,616,449,527,998,099,447,993,956,887,852,423,361,296,494,385,567,910,
632,461,135,742,190,327,761,334,727,312,382,572,945,449,687,123,918,179,208,
690,791,858,889,395,477,389,649,282,378,528,878,240,992,233,851,429,004,964,
852,020,491,991,826,607,573,309,447,648,000,933,169,797,776,917,144,908,255,
771,186,876,868,383,977,700,925,433,904,480,123,977,186,422,662,161,811,833,
574,986,256,004,732,790,026,030,349,519,935,261,442,116,813,550,111,442,475,
394,433,481,194,149,551,996,915,125,259,827,951,144,185,674,204,786,071,996,
634,227,304,791,486,117,180,677,635,790,659,108,810,912,770,298,737,532,354,
240,937,711,312,667,388,618,273,990,332,342,201,613,767,453,607,388,285,630,
600,554,038,937,986,016,961,027,910,517,237,742,588,991,452,162,416,655,105,
611,161,995,696,789,065,649,093,640,585,309,576,801,011,218,708,809,471,198,
831,161,969,810,205,785,659,605,590,302,502,191,321,813,366,546,505,962,793,
086,741,577,103,238,279,246,985,873,939,471,738,063,931,058,797,994,323,964,
709,859,412,869,860,182,321,890,067,240,031,960,478,138,735,590,755,293,749,
132,026,020,777,307,229,906,834,710,725,838,890,548,339,020,150,108,708,005,
211,340,760,687,035,939,378,256,948,678,943,648,010,002,000,962,607,225,553,
252,695,613,004,593,255,913,800,737,974,630,431,055,412,738,838,806,955,219,
606,035,258,212,986,470,875,095,371,228,184,942,153,054,475,567,894,138,170,
119,321,505,745,446,581,074,054,763,176,774,234,433,196,258,347,894,481,545,
470,924,940,189,551,887,585,239,865,619,616,081,566,400,957,797,545,399,676,
992,063,088,756,271,156,650,581,831,433,269,110,555,105,723,130,230,713,172,
384,910,005,304,023,523,930,261,200,053,861,707,984,131,429,120,679,192,624,
884,272,240,585,541,018,709,834,483,660,527,418,652,365,579,748,574,861,893,
790,466,752,358,188,978,756,113,482,903,244,223,121,232,288,612,388,474,557,
472,870,194,043,315,536,267,346,175,894,376,038,946,573,766,888,657,521,391,
091,198,087,775,889,329,053,866,958,048,902,216,657,296,665,224,048,939,856,
859,608,599,428,802,639,220,619,295,606,388,976,201,814,824,768,272,730,093,
344,982,668,477,910,161,870,944,727,972,455,004,561,743,841,911,344,316,566,
764,507,174,197,872,540,043,966,145,417,209,953,591,031,004,539,146,952,484,
647,687,636,127,257,179,139,510,320,063,436,584,488,901,624,321,388,123,762,
802,796,276,076,071,020,185,248,455,255,720,536,692,831,899,793,720,311,048,
245,445,080,083,097,815,857,456,556,393,148,275,845,743,781,261,801,859,964,
973,999,020,490,359,548,807,306,699,026,151,751,284,739,930,406,678,233,516,
734,996,351,320,077,233,098,830,988,335,680,662,441,550,402,462,149,789,620,
700,786,156,600,819,440,222,962,284,095,661,128,560,776,981,218,606,461,005,
745,009,991,790,302,581,780,923,357,578,792,457,641,687,062,352,703,601,637,
121,759,472,514,345,197,137,325,520,684,219,546,248,332,800,754,420,332,463,
216,325,691,227,588,951,178,237,447,561,938,479,115,702,185,268,470,628,241,
751,783,507,502,828,963,497,564,066,023,979,491,847,528,340,680,791,213,417,
262,530,651,595,338,843,284,401,173,626,692,497,472,669,297,824,751,160,821,
556,911,198,949,438,262,102,088,361,837,250,552,228,490,496,302,057,263,250,
305,931,579,426,597,278,579,237,449,650,290,882,198,397,816,484,359,623,317,
155,362,249,022,840,641,343,966,927,708,611,326,760,606,348,388,192,144,473,
896,226,720,209,500,991,304,146,463,746,843,000,300,361,538,048,622,200,454,
496,334,051,752,881,627,572,912,072,622,672,874,101,485,988,977,496,481,218,
271,598,362,883,719,893,047,669,116,180,778,360,291,114,082,312,943,616,764,
098,113,068,956,240,093,005,219,805,729,123,973,375,960,740,372,486,983,899,
741,056,491,015,840,052,594,074,171,555,059,872,539,041,724,664,546,511,224,
462,682,683,938,685,648,096,627,006,306,854,742,296,107,139,197,961,083,304,
880,110,478,518,957,035,903,550,539,364,851,483,785,157,626,812,324,939,656,
836,715,253,917,203,303,795,837,938,006,121,310,662,547,697,735,964,844,317,
535,132,681,360,337,334,070,337,852,585,316,448,338,786,867,080,618,289,055,
862,008,406,723,473,379,057,046,464,305,347,476,434,642,104,026,136,992,946,
326,673,259,738,589,568,303,040,913,589,525,013,860,136,203,135,695,929,334,
006,357,592,346,530,899,184,874,474,525,658,607,846,637,217,874,343,472,128,
429,392,458,208,771,933,975,778,690,186,295,755,555,217,765,134,420,493,352,
023,749,544,445,126,395,174,092,732,363,492,065,380,535,362,441,749,915,687,
743,709,583,547,991,591,250,120,314,984,324,881,225,238,048,539,728,424,289,
350,987,507,949,217,392,965,605,955,394,657,179,269,283,176,289,614,031,321,
583,788,548,969,965,340,685,082,586,522,456,528,213,723,434,229,170,212,256,
802,627,170,866,281,162,539,103,935,385,582,197,733,672,811,537,294,548,004,
388,865,100,778,450,712,914,538,947,350,222,981,735,865,710,168,211,577,473,
552,399,121,197,215,485,582,917,833,870,644,717,324,054,505,372,749,903,739,
320,412,686,409,309,354,607,941,600,985,353,796,620,432,384,376,216,084,998,
225,509,226,573,742,253,060,698,281,136,204,232,075,628,572,628,648,724,220,
063,063,336,505,122,582,149,018,658,170,794,999,973,167,094,178,775,127,637,
574,437,334,162,540,541,070,535,171,949,825,107,285,218,829,854,943,581,937,
993,311,936,418,295,313,490,951,300,089,072,337,064,212,018,492,487,470,041,
807,786,179,518,880,907,339,711,868,395,920,041,628,648,661,289,655,471,052,
850,240,358,724,504,728,628,011,396,023,900,191,895,014,075,047,167,013,368,
494,808,132,676,714,972,960,759,203,000,101,775,516,347,745,149,479,488,799,
266,084,445,008,291,806,228,505,300,484,567,749,990,748,034,521,010,601,734,
879,485,713,313,786,424,864,350,741,155,698,518,022,051,043,091,053,613,958,
692,264,168,678,395,459,324,375,217,520,375,308,272,601,647,790,747,396,851,
268,737,434,294,350,018,005,582,475,234,070,022,266,781,669,886,273,833,040,
288,493,627,522,166,911,511,633,133,212,211,345,317,442,060,462,927,277,612,
405,942,380,311,617,146,748,869,449,040,590,597,326,395,655,323,601,041,327,
394,448,782,653,332,920,840,526,480,172,295,599,241,641,201,327,487,332,012,
949,370,584,029,571,648,756,449,274,138,902,637,613,831,514,063,254,074,333,
527,799,678,027,484,642,325,350,746,807,546,156,488,714,868,158,369,953,965,
753,039,568,586,638,512,388,084,889,205,421,760,906,148,145,324,703,881,137,
449,148,687,353,213,401,226,333,834,488,323,758,919,480,037,660,320,481,213,
916,785,683,206,701,038,738,391,850,613,850,027,129,807,319,716,116,079,250,
593,587,860,483,455,405,309,623,164,427,861,934,963,322,179,504,335,971,379,
142,663,449,462,064,103,450,039,516,277,228,188,063,124,319,400,699,075,960,
426,870,779,256,437,131,757,493,396,048,107,951,966,539,669,997,269,668,268,
077,995,611,951,440,452,786,622,588,112,904,746,614,302,526,698,291,769,682,
656,565,528,255,302,061,977,617,443,451,594,662,015,508,947,449,952,566,795,
133,703,354,568,199,493,230,818,149,268,422,155,739,062,885,338,926,685,938,
505,536,062,990,524,927,511,604,361,320,336,749,732,536,584,336,039,974,854,
583,799,549,266,054,525,681,934,655,892,090,094,226,510,766,526,622,208,296,
540,504,646,515,617,511,311,854,738,933,425,361,659,485,025,199,501,038,484,
402,005,320,369,428,696,746,046,753,848,417,875,728,407,470,689,800,317,102,
187,316,708,071,375,505,735,875,994,542,627,580,241,675,228,722,481,434,251,
873,108,170,101,855,908,509,340,639,656,589,537,291,808,549,961,468,976,977,
071,993,658,144,509,490,238,939,457,367,870,577,601,045,040,825,310,656,070,
234,780,337,929,278,803,458,302,560,305,300,070,941,264,078,204,300,284,175,
407,849,368,313,746,038,153,001,035,673,365,507,362,667,778,885,758,850,648,
662,532,559,072,046,361,662,302,392,793,402,073,828,679,702,348,053,031,327,
911,158,674,055,946,376,821,107,219,733,743,579,274,822,695,417,366,169,579,
875,685,555,704,718,102,217,290,692,788,426,265,392,527,219,391,465,022,541,
610,722,103,757,169,140,287,007,149,183,986,846,352,914,433,655,450,584,821,
472,785,738,318,801,832,055,910,522,537,507,854,415,738,793,653,997,967,327,
893,108,766,384,523,675,254,154,767,463,041,233,937,259,664,839,679,782,820,
354,608,672,892,720,033,952,445,125,416,365,274,235,169,709,349,869,639,751,
005,553,944,656,503,152,319,954,140,986,769,915,788,298,016,100,340,951,240,
441,293,535,241,686,395,133,586,906,578,650,875,799,619,072,375,649,598,466,
701,999,796,048,457,497,508,379,796,279,944,094,160,997,303,113,132,718,142,
496,214,159,145,037,215,881,786,033,028,376,962,016,068,091,506,597,794,080,
579,780,562,889,949,510,711,047,357,994,299,934,259,212,061,235,152,986,034,
507,254,587,275,571,131,398,266,104,957,702,249,973,392,977,184,439,039,933,
785,501,675,253,282,680,449,497,357,282,772,707,445,656,356,209,004,731,750,
595,330,642,996,064,334,884,066,416,265,501,102,858,245,879,086,762,819,997,
768,629,129,846,185,931,804,907,568,785,447,330,457,712,459,766,248,607,949,
680,253,925,669,244,580,185,005,864,025,522,230,446,148,129,421,979,629,426,
785,115,187,804,154,260,001,712,583,889,781,060,818,948,296,646,567,044,169,
403,965,725,994,686,110,446,594,901,791,064,279,632,054,159,661,699,867,498,
488,661,754,117,471,499,731,577,743,977,826,510,950,458,758,967,700,174,343,
398,477,265,086,872,909,643,158,295,809,600,375,864,508,606,228,107,213,747,
096,214,563,727,776,198,618,282,286,877,676,916,138,183,327,903,490,303,437,
635,634,332,582,896,987,718,668,469,524,735,967,359,782,813,322,228,727,258,
774,087,948,192,532,463,209,950,491,281,115,009,267,972,768,293,937,724,959,
607,774,142,718,148,626,146,421,344,823,315,063,307,515,402,000,216,928,933,
442,080,836,316,608,838,484,797,883,338,114,096,767,774,571,165,310,729,100,
693,641,576,947,586,431,279,321,785,026,882,230,614,530,252,294,078,155,613,
603,701,235,207,240,993,257,709,655,019,704,237,029,189,808,166,532,255,476,
616,793,603,415,579,660,528,783,233,655,878,809,663,900,970,049,718,886,412,
430,576,969,775,765,218,766,972,029,450,727,132,451,989,319,157,974,754,795,
141,090,156,494,171,152,030,383,290,652,427,490,063,205,793,999,372,655,512,
871,601,669,844,047,476,392,854,151,179,803,852,358,242,820,951,448,343,357,
500,478,188,189,041,332,800,121,459,190,980,139,219,541,623,164,805,403,534,
587,194,798,745,525,255,394,519,737,095,478,093,509,214,242,349,073,810,834,
076,955,978,503,666,972,375,398,313,017,660,431,150,803,944,105,336,638,308,
464,364,810,941,968,746,883,216,817,586,591,118,353,354,374,351,394,392,002,
156,797,923,343,944,159,695,645,386,241,990,374,102,820,650,315,967,649,314,
762,712,071,263,353,228,881,196,134,828,676,202,302,049,339,961,032,414,944,
949,550,760,307,533,268,078,982,400,065,203,619,725,267,041,099,059,294,067,
947,738,813,097,857,141,407,861,205,347,490,777,653,916,068,525,666,805,192,
403,154,957,760,768,794,100,680,371,874,237,722,744,321,484,422,570,448,988,
972,332,359,077,864,060,501,351,889,072,951,534,331,292,832,043,669,164,524,
622,394,980,122,362,826,603,430,586,706,247,157,390,657,193,308,904,117,271,
946,279,958,396,265,738,908,577,958,708,737,877,170,978,929,066,806,853,652,
958,943,067,001,919,768,275,800,981,113,782,797,651,882,140,087,064,741,519,
979,597,607,637,243,631,356,978,742,255,370,285,086,797,973,688,801,560,722,
874,051,649,852,656,187,658,566,316,869,902,223,241,233,053,288,999,151,375,
439,813,638,084,595,618,364,716,316,784,848,449,058,508,610,233,487,732,970,
971,636,545,365,557,575,984,808,485,013,128,994,824,286,830,971,170,209,127,
392,352,913,298,038,167,462,624,743,696,946,114,808,221,297,216,558,865,873,
118,364,450,876,860,807,233,399,552,457,986,980,536,758,782,749,607,304,354,
334,265,394,980,654,162,774,377,518,008,517,747,082,879,211,264,105,063,303,
076,146,090,729,413,014,541,651,226,084,053,070,726,361,408,457,489,040,419,
845,598,103,205,159,872,107,027,787,020,429,910,959,214,678,448,191,445,152,
981,656,949,547,836,777,762,364,571,424,932,811,072,073,223,955,454,820,729,
291,906,932,052,740,490,160,030,695,418,124,842,212,029,809,965,707,823,857,
546,547,306,419,964,185,707,445,510,891,775,170,556,361,224,152,751,134,210,
610,354,668,105,880,366,004,120,132,267,373,137,870,479,525,349,933,767,587,
413,768,350,896,565,252,121,946,065,625,704,034,145,419,084,924,665,570,415,
083,201,873,009,870,534,299,822,775,744,977,706,037,722,726,353,332,907,770,
157,111,936,181,329,598,167,009,878,321,935,267,180,101,739,716,419,949,823,
055,829,065,264,809,844,726,825,842,525,253,043,423,856,805,077,163,326,446,
891,672,421,333,998,349,413,258,087,524,562,513,554,879,001,814,791,642,142,
768,631,484,651,811,213,694,262,984,574,246,623,933,066,608,432,069,200,884,
546,619,789,080,575,433,848,062,793,940,833,262,411,720,344,977,210,177,717,
161,041,583,628,849,676,070,564,309,992,116,875,448,741,824,268,438,567,209,
996,658,094,101,560,063,365,144,968,211,421,453,933,565,923,371,165,555,575,
766,346,815,468,351,092,905,513,644,801,895,049,853,743,518,467,368,768,655,
037,342,617,386,198,783,788,137,860,188,585,297,929,313,398,575,536,092,525,
465,221,426,257,573,171,814,402,475,600,118,701,771,338,787,377,420,502,185,
712,254,313,022,308,352,804,872,474,009,845,355,873,857,447,796,184,139,906,
378,639,568,726,047,162,230,436,121,264,010,556,810,890,733,607,825,523,719,
232,603,200,912,749,976,172,091,259,014,792,706,262,466,127,448,798,216,153,
416,512,584,973,134,662,774,917,405,883,916,939,968,828,899,751,769,781,086,
047,643,085,046,407,039,314,895,050,537,392,653,348,968,583,082,343,331,017,
982,871,553,602,189,265,154,123,118,559,992,995,156,189,404,614,578,879,815,
067,404,374,166,344,769,654,693,689,632,538,396,606,788,442,043,577,989,758,
135,217,293,320,893,179,465,669,349,061,982,883,362,492,406,987,435,850,691,
823,467,937,035,797,250,867,617,346,595,846,654,195,972,583,410,200,786,301,
498,154,658,390,910,016,442,439,979,118,030,367,813,187,661,203,769,411,930,
974,375,872,564,696,492,942,236,525,135,218,371,818,227,347,877,647,312,308,
593,467,517,066,364,314,087,792,424,661,411,380,905,910,852,180,140,156,513,
358,595,486,048,525,824,343,378,781,009,748,541,703,323,302,480,110,294,390,
377,452,381,330,466,523,195,334,532,237,829,822,520,661,339,011,625,144,732,
852,461,631,014,158,005,665,410,086,668,319,402,391,906,957,952,806,594,145,
937,958,107,831,914,631,009,157,079,680,395,270,337,141,874,387,766,400,726,
336,489,679,102,018,049,773,839,743,185,923,760,250,511,955,754,788,743,196,
473,629,242,118,627,537,740,559,123,873,263,588,506,098,601,812,170,204,273,
161,358,868,190,934,235,636,783,943,933,004,773,633,871,258,496,951,172,934,
167,776,875,987,776,933,223,387,105,334,858,051,398,233,726,606,949,907,817,
687,694,669,220,315,167,390,055,564,402,215,307,769,765,525,010,103,900,766,
795,373,264,717,952,289,671,872,826,582,721,376,918,194,078,699,139,790,963,
516,637,381,108,360,162,592,083,551,517,290,782,515,635,077,339,068,880,645,
841,600,551,996,548,848,520,238,211,437,181,119,851,260,902,913,189,198,118,
871,038,724,724,445,802,691,526,902,083,266,480,221,183,087,950,921,933,254,
760,487,469,988,863,818,799,442,246,211,406,728,512,570,269,326,638,990,501,
974,399,774,464,028,364,558,202,671,266,669,704,349,490,657,281,659,851,447,
148,103,883,489,540,570,324,290,426,597,030,325,719,594,663,188,283,477,177,
282,457,089,584,141,049,895,654,995,949,358,525,974,534,568,469,516,059,901,
469,764,085,529,300,611,377,511,156,379,218,341,652,547,387,322,863,233,894,
185,993,162,557,853,486,167,228,591,367,513,484,562,307,964,590,706,005,191,
937,841,849,854,798,673,981,822,456,649,609,289,914,539,080,554,883,499,250,
716,898,063,489,778,831,551,536,143,088,787,649,456,080,288,296,814,059,247,
337,765,601,874,146,757,229,915,223,911,242,512,314,905,015,303,076,461,453,
765,880,992,738,280,620,344,551,890,710,202,902,619,568,249,289,555,778,363,
317,550,945,307,579,074,951,062,635,101,102,786,468,147,736,661,037,199,218,
102,549,454,011,866,854,086,662,975,444,565,171,391,341,701,000,852,970,614,
197,264,232,925,010,343,207,306,538,271,259,652,468,182,807,658,332,246,688,
621,437,474,707,803,283,548,088,491,737,477,001,899,104,769,208,651,870,388,
509,731,626,788,417,618,092,082,447,447,270,842,510,492,626,106,039,881,990,
187,126,680,149,008,200,694,229,062,528,369,239,833,526,831,861,845,764,298,
485,926,618,584,644,915,644,518,632,450,076,026,649,008,063,795,895,075,183,
917,097,888,860,701,194,213,925,954,327,485,704,980,907,213,756,733,025,554,
850,083,386,877,577,695,920,098,264,179,432,112,031,721,638,840,985,768,528,
931,531,040,721,528,196,394,714,022,117,512,504,504,027,535,938,265,478,193,
356,531,435,340,353,261,713,692,187,606,278,279,079,565,038,857,456,491,586,
566,622,473,475,870,983,398,221,547,438,263,800,877,104,724,511,342,027,744,
762,739,986,056,065,438,350,150,056,586,186,133,465,048,188,503,855,913,473,
645,516,200,449,335,643,705,746,943,284,862,225,707,665,422,469,500,058,268,
666,557,847,761,955,313,223,703,136,857,871,551,209,604,969,556,603,527,438,
051,333,378,206,038,977,725,801,000,477,084,225,096,699,054,001,857,316,174,
573,305,621,605,467,586,503,073,787,333,356,157,573,018,331,806,956,700,493,
569,722,532,275,432,147,803,895,333,959,404,514,099,705,650,808,797,606,176,
058,058,311,109,472,148,876,928,344,692,003,840,904,118,861,885,935,548,297,
358,864,931,545,730,126,258,387,370,736,749,897,784,594,828,467,218,680,417,
565,595,078,558,909,988,755,396,630,266,075,440,030,825,079,887,288,921,618,
598,845,872,622,326,705,116,761,963,561,680,270,015,692,826,414,762,989,623,
931,250,798,742,442,331,569,005,200,720,456,170,387,624,466,939,373,857,238,
814,526,571,330,164,152,167,342,628,629,878,426,207,451,359,046,819,622,432,
348,688,193,744,277,254,777,486,002,193,817,640,303,105,113,774,778,755,793,
547,795,795,582,993,253,041,466,727,790,890,507,687,220,095,194,739,268,183,
403,520,859,402,256,760,952,128,100,125,472,054,445,464,475,358,096,750,159,
684,793,450,779,802,677,012,468,628,360,855,935,681,978,543,806,402,423,214,
761,322,754,357,533,593,745,722,223,798,432,258,492,467,601,486,033,347,774,
014,161,250,982,224,545,569,740,986,288,344,138,700,633,200,967,307,649,565,
727,908,116,731,688,387,208,655,525,135,108,885,656,838,084,879,919,407,739,
349,043,045,467,491,428,107,780,068,818,439,576,673,777,312,090,699,909,802,
367,088,007,326,675,024,643,627,064,286,898,285,462,293,324,370,677,482,270,
372,173,388,602,321,326,490,403,761,409,679,070,922,726,742,390,616,803,849,
255,160,642,160,360,330,138,490,640,057,350,368,402,711,614,889,464,552,948,
795,241,540,312,269,222,893,900,020,826,889,545,767,538,802,095,209,517,550,
307,960,836,905,668,728,226,069,336,251,494,269,695,576,210,332,824,755,626,
605,363,111,625,055,721,113,124,720,091,797,039,893,109,749,229,894,218,335,
479,089,283,857,514,559,133,408,501,332,949,744,350,514,748,267,608,714,670,
763,446,205,824,631,991,673,983,953,193,950,502,431,030,667,139,884,045,935,
896,419,058,522,351,460,251,519,641,000,309,059,800,283,265,675,289,151,580,
174,867,941,573,961,334,782,448,477,277,028,422,664,980,434,355,466,126,618,
623,439,552,593,994,104,053,230,181,252,695,938,630,522,273,985,086,184,293,
512,283,798,088,429,849,228,385,503,584,580,945,294,954,672,829,092,879,060,
826,294,791,296,058,153,705,436,247,014,617,843,955,251,682,403,459,148,605,
442,011,822,231,767,773,049,556,455,822,326,870,223,070,488,873,270,489,853,
720,146,999,111,408,756,046,428,940,087,926,426,286,592,308,311,127,140,178,
533,474,703,421,732,663,231,783,962,199,764,308,379,544,116,783,340,892,241,
756,210,390,259,830,803,519,544,662,631,526,753,375,377,159,313,624,488,268,
135,778,454,192,922,339,159,868,157,076,015,348,036,036,692,294,155,037,506,
644,460,914,369,184,230,710,322,364,644,701,369,772,302,975,220,580,684,404,
549,413,524,321,292,712,574,796,088,058,018,773,830,259,151,631,608,671,116,
165,357,340,211,720,205,918,172,455,686,668,336,346,299,812,585,837,656,414,
686,587,832,399,169,820,532,337,607,931,646,638,883,360,558,737,438,148,654,
568,216,873,367,837,765,533,384,386,354,585,931,525,768,780,740,265,459,279,
256,919,920,322,675,568,355,960,186,993,134,730,630,424,942,953,232,618,073,
888,426,911,896,018,702,794,559,436,729,771,649,846,413,080,408,970,821,611,
057,709,447,502,723,425,413,584,772,602,839,412,170,504,149,113,796,315,598,
945,857,211,291,390,209,484,836,084,925,301,747,333,286,208,027,259,977,735,
652,947,881,176,535,593,591,092,153,820,105,354,866,839,105,941,281,067,380,
308,769,957,023,079,345,198,605,822,502,376,021,402,871,936,942,737,541,248,
906,413,552,836,875,971,739,313,339,383,793,727,306,011,998,024,270,531,629,
435,256,538,412,531,941,873,286,472,712,853,634,883,231,528,971,132,878,461,
032,388,180,274,115,369,745,520,596,461,634,558,939,855,418,493,689,815,238,
301,162,268,647,724,487,120,778,226,343,351,300,624,400,540,752,635,406,408,
112,135,570,570,236,516,590,788,015,586,132,936,407,603,698,571,306,736,914,
686,791,698,615,448,999,761,424,768,614,656,684,315,258,444,497,101,772,512,
058,901,746,496,646,914,136,980,460,420,715,500,712,811,271,969,201,750,580,
914,641,181,337,068,007,508,342,999,673,267,226,407,410,270,306,208,176,179,
482,356,479,773,724,814,727,196,463,250,371,274,695,028,699,513,828,338,817,
068,704,387,968,456,882,366,202,260,245,770,620,581,054,917,406,953,409,138,
883,147,981,571,210,498,428,824,431,259,078,706,648,477,413,459,166,353,636,
912,479,326,752,423,070,887,249,746,642,934,506,381,243,549,356,899,156,705,
312,986,670,701,823,332,869,113,367,288,057,962,885,248,805,295,478,023,215,
318,208,916,496,015,416,408,986,019,669,855,998,720,689,676,796,595,164,968,
783,198,408,328,571,029,118,806,093,723,030,768,165,010,271,129,596,873,043,
921,293,319,274,767,620,548,150,915,599,716,504,235,410,034,732,677,554,132,
117,379,213,149,109,553,870,121,635,665,392,316,695,126,313,210,240,466,071,
856,085,384,534,740,699,598,428,858,349,228,853,569,912,475,685,219,640,450,
619,654,170,434,594,365,385,158,412,715,667,694,886,450,999,615,971,785,835,
959,592,529,775,621,702,893,892,576,186,579,839,053,139,675,446,012,354,787,
582,483,192,067,521,165,719,093,863,298,925,508,587,564,164,502,643,001,799,
883,695,930,099,715,692,328,210,557,548,941,841,332,547,047,547,680,053,301,
501,914,584,629,978,554,696,004,589,367,423,875,870,068,314,483,534,787,390,
993,854,199,513,663,143,868,179,337,936,872,361,621,516,114,193,060,651,060,
588,379,850,503,413,729,756,526,398,300,984,392,083,592,165,419,270,909,676,
356,969,589,605,311,406,937,027,502,230,072,342,658,947,463,216,389,890,076,
503,619,631,087,888,071,260,686,052,869,630,423,288,323,498,339,317,456,844,
652,425,681,759,524,200,087,988,104,502,967,802,313,746,357,120,615,905,003,
582,568,391,143,178,059,028,627,150,213,009,861,593,910,191,974,397,839,396,
304,393,009,376,785,207,388,771,630,636,998,495,241,500,750,225,713,182,761,
181,277,981,866,540,665,897,869,010,312,332,946,333,150,154,091,927,792,127,
869,605,604,031,132,357,508,111,386,582,512,610,675,257,739,945,332,363,371,
876,022,537,255,562,119,659,526,024,385,196,690,218,042,553,264,818,966,704,
609,610,942,981,110,691,692,653,686,224,801,821,388,379,382,609,229,072,905,
293,824,347,731,909,274,300,552,529,948,116,135,621,282,799,349,049,660,850,
397,990,177,110,697,374,224,020,386,921,730,246,179,453,342,253,695,982,688,
370,965,241,621,138,081,813,980,526,359,976,808,914,568,222,684,840,157,554,
983,619,703,259,338,074,908,311,958,681,858,626,702,741,874,938,137,956,193,
344,428,541,266,101,536,636,494,514,928,853,719,910,426,267,840,169,664,275,
418,577,229,411,272,201,502,510,973,938,672,553,936,173,215,430,769,055,978,
250,875,358,252,262,378,627,379,448,158,606,852,624,778,791,009,906,378,268,
775,958,558,125,994,328,634,481,141,480,655,653,128,279,629,466,101,655,349,
397,529,727,791,395,716,228,326,151,278,737,340,662,465,706,258,009,849,780,
052,279,087,637,063,037,814,925,853,719,306,021,020,072,922,852,650,738,928,
247,526,329,816,634,050,441,678,782,551,813,658,410,049,134,763,958,328,480,
828,414,258,612,935,105,526,359,749,337,896,467,968,312,725,269,121,241,903,
033,706,009,591,477,169,530,601,549,887,727,491,917,403,063,087,400,676,252,
312,403,017,485,689,470,197,273,023,738,435,285,271,314,731,305,809,653,087,
707,346,165,920,995,201,183,056,631,328,713,372,863,343,298,342,581,198,631,
613,198,535,530,619,473,144,608,363,860,705,227,641,502,253,136,750,017,207,
888,355,645,893,476,732,289,563,340,701,496,876,012,620,814,281,483,256,437,
512,869,217,906,499,953,838,417,326,142,350,116,961,079,174,719,950,342,872,
800,086,491,303,473,022,140,508,893,555,221,294,642,958,019,842,320,512,172,
233,271,101,952,992,801,214,225,152,465,241,543,958,539,201,951,231,753,350,
456,834,573,508,915,204,657,475,574,073,620,400,115,708,097,188,519,092,190,
681,950,539,065,665,261,121,864,932,859,657,555,105,499,433,412,352,020,762,
464,699,390,903,351,820,603,094,817,678,615,546,599,761,520,708,775,342,564,
387,742,463,115,615,707,291,678,920,335,315,692,593,243,987,420,338,628,575,
567,073,508,928,879,817,151,718,490,669,174,006,901,687,946,925,010,482,390,
446,817,493,686,719,922,831,716,435,312,739,422,038,488,486,854,490,372,093,
686,806,734,913,203,654,058,358,663,234,467,811,438,951,601,388,046,899,138,
667,208,770,866,724,304,173,771,951,195,910,454,632,819,024,188,369,098,424,
049,192,664,177,043,440,810,887,394,193,851,135,178,432,161,710,955,213,296,
253,667,534,879,567,384,373,939,492,055,915,315,188,869,548,499,623,596,133,
095,142,672,221,178,525,582,844,332,965,021,864,788,242,113,198,207,075,244,
079,015,171,758,677,861,784,892,572,978,697,586,455,949,915,646,825,643,691,
436,416,928,151,201,803,038,370,146,375,725,790,764,836,822,397,514,565,529,
512,963,884,478,765,758,711,390,197,508,914,675,241,839,587,395,391,702,017,
336,883,572,400,170,815,862,043,963,593,128,201,851,748,353,352,341,856,737,
798,742,652,056,243,588,977,634,436,761,537,268,703,026,791,396,703,740,454,
560,660,027,871,863,588,994,169,433,520,221,833,576,016,479,347,036,044,660,
562,302,904,825,190,837,991,363,835,595,418,551,698,076,768,967,435,044,697,
968,248,317,398,624,805,560,706,859,477,480,980,761,940,955,062,318,301,198,
889,620,758,813,871,337,782,448,747,940,612,791,976,159,078,426,885,175,124,
075,174,146,506,514,786,455,610,625,750,096,304,004,103,966,307,926,253,887,
090,453,899,167,807,567,014,478,903,044,277,935,729,994,037,877,172,756,549,
975,998,871,936,530,008,593,946,261,902,751,582,599,870,903,970,393,410,274,
174,858,532,126,918,762,419,564,114,331,896,436,556,441,998,166,808,682,277,
398,305,345,106,504,245,483,291,178,633,012,089,986,870,213,029,090,518,045,
936,052,582,556,370,096,714,297,523,296,893,641,866,375,510,060,369,161,759,
164,073,804,306,185,732,912,621,041,555,184,567,113,682,116,321,021,927,782,
943,077,100,036,980,937,216,126,884,175,486,373,805,267,191,725,188,584,900,
938,284,735,451,966,454,202,521,364,982,217,125,434,712,290,088,140,568,095,
932,255,243,252,660,420,333,060,778,450,054,321,024,727,888,332,275,111,581,
288,514,346,919,694,039,989,577,348,483,847,739,515,208,946,649,876,496,240,
477,707,353,304,606,612,414,496,279,032,998,877,893,348,297,425,506,920,473,
991,522,155,068,819,878,138,027,396,824,450,807,632,202,152,406,335,529,568,
182,786,237,593,008,758,247,099,449,755,857,914,792,880,578,878,195,257,462,
313,852,058,744,006,092,973,581,402,801,515,375,259,555,949,002,646,796,652,
579,665,901,410,838,595,168,015,383,495,203,191,886,221,348,569,275,176,649,
771,810,639,317,430,181,841,373,293,895,024,733,938,850,062,691,289,541,849,
391,628,528,226,616,914,827,447,238,698,245,293,457,850,092,865,414,360,780,
525,621,726,521,707,950,655,981,597,214,733,540,510,972,587,130,790,889,018,
707,998,911,292,033,475,703,687,261,589,400,493,709,549,369,684,167,892,720,
126,623,078,907,920,735,105,239,509,276,724,006,199,819,800,021,078,384,967,
729,816,494,792,948,980,919,005,204,653,239,750,765,774,184,156,157,460,249,
783,570,326,128,549,622,014,850,409,344,741,140,768,959,034,154,358,021,030,
651,031,456,299,198,423,108,918,574,309,074,547,731,628,133,889,745,693,770,
230,443,030,741,077,535,958,376,028,833,045,233,701,385,706,334,222,859,305,
860,056,080,294,184,509,818,603,731,132,925,879,763,022,020,016,774,628,274,
485,744,666,507,084,318,440,595,750,149,283,573,465,707,576,049,034,365,985,
441,655,749,253,433,833,739,994,150,720,902,378,019,238,702,188,832,717,191,
469,614,367,346,135,628,770,110,823,431,554,045,949,426,480,132,347,106,556,
358,611,305,446,015,925,541,476,475,633,577,641,652,720,213,309,514,768,168,
991,731,640,108,273,548,779,758,029,577,233,473,423,753,207,547,432,231,791,
153,585,781,241,775,056,372,189,016,503,370,854,282,439,688,678,787,348,872,
615,818,269,708,872,113,650,921,985,012,247,528,793,092,395,062,486,340,183,
843,397,038,841,996,230,660,521,716,062,935,613,301,748,992,619,576,772,366,
032,220,922,435,162,789,478,008,746,608,837,253,450,338,562,709,755,650,654,
180,753,993,189,320,436,874,820,523,456,661,205,070,202,124,676,076,710,320,
539,378,536,531,487,510,215,654,129,254,397,931,850,844,292,832,017,578,267,
162,923,631,303,804,319,767,581,443,266,329,453,161,939,860,907,221,158,299,
729,707,329,554,339,002,452,614,542,488,638,600,479,268,420,704,467,477,487,
455,351,766,807,659,822,614,822,330,156,635,900,275,305,621,705,988,638,047,
182,385,739,000,526,302,310,296,290,529,674,007,572,602,208,363,508,893,794,
856,271,271,919,400,484,431,009,307,696,826,406,064,268,437,285,597,632,578,
346,174,299,977,822,532,876,954,353,274,401,685,489,377,866,916,388,904,188,
120,812,283,668,535,550,190,152,354,466,922,150,236,100,237,681,560,230,478,
341,745,615,438,720,241,361,335,701,385,792,845,106,783,543,399,733,771,143,
221,463,687,977,620,827,487,906,367,081,476,065,642,993,541,076,554,993,504,
180,199,942,297,798,018,875,951,148,435,403,854,798,350,053,801,874,593,223,
377,117,996,420,590,157,989,866,348,838,651,889,242,402,410,445,161,272,008,
209,822,309,082,635,386,789,039,376,156,654,251,074,867,668,196,047,191,189,
298,027,086,727,071,759,682,766,033,418,342,780,666,410,019,300,341,425,908,
155,502,405,059,909,691,921,716,832,624,941,437,378,397,462,712,560,619,956,
679,468,108,404,320,467,182,555,620,383,857,066,312,537,679,837,969,144,367,
543,399,731,342,430,386,421,388,480,494,860,149,201,603,297,113,584,435,233,
025,340,867,860,544,286,470,475,092,904,444,710,830,829,345,723,028,114,855,
713,611,200,622,090,847,531,742,456,101,037,827,762,563,808,276,052,185,440,
656,758,933,813,679,157,205,633,089,115,551,592,176,542,017,209,153,598,555,
493,981,544,942,768,520,436,282,172,166,075,650,095,710,464,174,453,981,462,
392,113,857,730,411,667,279,683,909,524,064,469,277,520,297,275,888,869,203,
030,994,978,283,313,244,306,179,566,336,023,346,629,814,458,617,790,178,567,
736,491,922,380,336,513,714,176,804,258,412,033,577,439,302,425,360,543,449,
966,019,458,271,630,273,789,272,427,277,357,542,503,846,669,326,461,189,970,
217,308,228,023,573,630,612,222,158,596,886,949,681,768,071,428,647,317,987,
811,792,009,177,764,002,163,938,198,290,358,197,379,433,452,400,427,384,265,
852,723,909,455,898,557,271,665,520,764,944,118,262,697,999,573,292,207,834,
078,220,503,586,543,497,174,781,546,638,572,414,051,330,147,921,294,912,027,
568,730,663,827,381,833,939,633,115,378,385,880,086,704,490,976,946,042,535,
376,578,131,335,783,598,293,131,458,928,928,368,807,304,860,474,506,757,135,
875,150,680,368,048,615,784,364,389,479,534,536,411,749,171,509,393,826,520,
575,153,343,513,667,247,684,625,939,992,331,327,916,845,895,400,189,980,501,
755,380,920,708,081,165,029,383,044,083,058,858,328,401,439,898,648,203,384,
480,229,657,259,302,036,052,838,616,225,519,162,917,780,630,761,895,796,639,
565,129,771,728,892,404,444,030,358,753,858,999,230,638,113,230,457,543,278,
030,868,673,076,122,759,522,569,609,266,412,601,148,687,601,112,646,973,978,
027,213,893,098,546,600,282,297,413,865,261,494,926,361,815,302,140,152,118,
363,242,092,274,395,260,031,486,590,948,177,345,919,571,247,131,031,630,530,
996,688,630,466,798,148,622,440,955,514,527,543,327,493,778,587,930,501,714,
986,163,880,545,103,712,505,296,564,799,751,310,662,023,362,770,554,462,457,
262,623,257,630,873,076,463,810,214,426,642,868,140,654,535,110,750,277,282,
463,245,891,426,139,013,974,418,903,905,674,381,504,463,426,549,251,783,148,
402,654,083,727,643,810,592,398,164,694,424,029,039,462,245,350,486,124,958,
474,030,780,151,411,941,923,945,617,448,700,962,952,046,822,941,709,505,468,
316,196,306,840,196,603,686,084,284,920,048,552,795,788,207,036,950,736,650,
577,368,274,691,365,589,923,574,361,505,597,164,533,820,451,277,757,436,032,
838,298,786,893,395,267,880,423,272,691,048,040,759,937,678,228,773,944,598,
746,798,182,560,660,939,763,075,042,269,414,253,858,009,994,189,519,200,924,
377,510,438,413,069,676,144,865,368,791,448,493,781,266,997,564,317,714,695,
594,377,961,255,472,095,729,470,135,723,961,910,237,445,747,507,374,984,627,
739,711,616,419,818,087,833,852,451,160,551,204,403,253,946,327,129,475,428,
249,620,036,833,081,553,941,102,124,852,943,777,797,538,248,223,439,686,984,
416,348,635,277,224,431,936,618,845,883,765,769,318,452,395,003,698,745,459,
714,059,005,353,701,929,635,739,382,941,561,693,080,294,872,904,379,374,848,
674,949,880,461,798,426,960,846,577,396,211,484,519,511,815,429,274,565,457,
171,343,232,538,970,582,327,036,039,511,565,421,393,661,025,526,856,681,926,
727,306,920,429,662,149,772,744,806,461,639,175,394,869,225,198,609,114,984,
276,849,658,105,189,923,330,596,134,926,643,039,015,072,359,761,309,073,568,
673,654,858,442,737,147,088,861,237,859,089,293,485,532,502,966,097,918,656,
041,993,954,946,405,027,253,423,955,820,157,310,702,428,968,814,470,383,150,
189,701,523,474,253,211,933,647,781,196,737,140,718,649,149,385,555,598,814,
703,244,082,203,698,168,331,036,862,168,826,067,940,729,627,743,921,198,133,
763,418,291,167,362,817,735,612,544,518,998,775,793,297,633,310,652,653,668,
025,523,330,044,940,852,164,218,054,463,787,291,138,390,705,589,505,153,847,
777,886,958,362,779,567,726,759,768,304,990,762,479,442,769,771,072,866,257,
134,137,721,922,545,045,699,351,465,045,875,907,348,506,233,609,027,868,208,
477,186,943,464,166,603,120,756,053,543,641,928,059,248,807,728,167,293,811,
791,080,126,976,421,173,205,938,634,354,225,227,512,371,522,871,306,470,369,
283,101,281,711,186,192,440,960,396,780,769,142,325,569,414,806,892,625,956,
278,174,441,492,701,326,455,853,304,951,009,355,385,827,523,860,590,749,696,
691,151,241,820,845,320,614,006,192,634,566,871,072,378,699,800,503,510,983,
416,628,279,997,515,964,990,608,815,621,195,398,852,755,604,118,117,995,657,
445,821,120,962,296,861,174,904,375,399,215,493,505,574,769,759,632,576,537,
295,720,473,458,295,861,089,813,128,034,243,230,536,181,839,656,275,966,773,
676,232,002,198,378,547,938,766,889,403,189,070,113,117,332,501,872,125,014,
970,607,819,729,633,935,673,000,356,031,795,925,641,068,107,682,611,387,914,
297,288,243,673,751,818,805,567,190,456,438,228,718,657,638,201,398,409,543,
086,079,550,958,928,619,757,288,494,774,439,172,303,348,726,992,031,916,231,
515,248,639,540,435,442,152,318,327,696,926,036,569,245,175,992,211,003,888,
401,629,959,244,512,136,702,722,608,273,680,512,377,129,386,699,403,637,249,
342,257,910,557,784,067,846,998,234,920,912,615,516,543,195,422,940,209,847,
970,444,495,407,925,026,242,813,761,254,276,992,692,016,395,046,336,985,219,
470,987,027,024,736,364,503,672,760,152,872,603,128,496,289,591,771,856,893,
539,642,472,612,460,829,495,024,082,677,181,985,774,242,449,398,506,854,304,
086,837,696,843,501,739,142,252,954,328,385,331,341,699,190,188,446,386,585,
342,051,491,161,361,055,402,862,602,868,931,743,958,082,059,388,644,636,626,
777,920,272,131,765,211,003,067,238,742,015,980,177,074,870,642,718,266,229,
463,861,396,274,402,803,814,165,532,918,076,044,545,162,662,033,744,766,856,
860,326,025,735,451,550,769,701,201,633,100,572,054,897,852,710,359,933,963,
052,426,959,039,761,453,492,332,964,864,937,807,842,002,752,242,998,914,235,
644,152,291,606,291,754,743,457,070,422,535,971,771,148,825,299,096,642,579,
650,208,518,668,151,453,154,069,211,594,054,070,415,942,347,387,989,949,703,
189,768,718,261,366,880,421,269,626,346,640,692,545,853,118,301,300,884,645,
245,391,852,175,873,807,689,726,837,833,757,839,374,962,307,319,342,952,466,
536,134,861,137,340,438,714,226,279,287,195,741,864,555,752,106,813,169,376,
485,303,990,518,529,916,555,832,176,883,015,077,832,251,098,010,409,039,985,
928,907,619,820,820,219,936,997,793,504,152,738,546,497,939,498,659,315,556,
656,043,221,744,446,316,078,030,664,029,895,602,519,417,054,643,127,328,299,
820,027,869,730,520,655,308,063,603,453,499,090,648,429,145,921,698,673,645,
276,111,550,961,411,157,689,819,628,703,082,415,994,214,898,440,794,599,035,
014,663,305,017,728,084,191,570,322,804,338,936,406,201,733,004,685,237,879,
939,115,022,326,733,540,739,091,245,515,952,859,746,826,655,955,289,472,591,
047,281,020,388,730,119,378,584,163,168,643,162,748,036,104,484,322,312,778,
322,032,034,579,916,505,419,915,935,694,759,572,790,868,660,803,946,216,845,
355,282,182,554,590,318,546,972,807,607,324,941,546,666,227,522,923,522,774,
787,260,034,675,555,440,021,675,628,101,018,104,113,640,998,938,923,140,400,
386,881,618,058,123,000,405,258,382,277,395,250,983,222,496,268,724,541,141,
895,269,325,465,337,980,420,666,418,393,983,599,825,755,723,750,649,908,427,
838,462,223,618,133,892,100,162,395,885,656,801,585,652,639,907,644,859,595,
246,571,396,155,234,806,841,979,759,703,593,003,529,550,920,771,829,887,273,
702,922,897,477,582,097,682,069,895,943,371,144,611,819,407,933,050,440,859,
174,127,787,124,813,097,130,365,953,042,807,998,281,385,234,116,196,129,165,
557,319,919,062,819,056,831,565,429,375,973,751,569,896,700,475,547,282,622,
827,091,990,039,618,213,900,181,554,747,061,111,615,364,084,475,666,819,325,
971,268,725,707,080,501,284,530,705,320,911,111,686,178,788,520,431,232,803,
586,744,477,287,236,215,225,406,644,760,643,132,989,783,308,301,108,076,733,
327,611,223,614,958,241,206,727,693,251,775,839,859,549,161,274,314,320,214,
715,408,009,195,010,992,987,769,357,472,531,991,811,662,905,960,816,188,517,
578,768,739,514,760,711,125,517,424,682,377,986,441,135,245,199,939,746,824,
607,221,648,773,931,846,574,473,721,916,925,956,489,233,514,636,659,922,152,
252,263,716,230,252,674,717,077,835,283,124,019,006,152,529,878,900,072,946,
099,974,037,628,361,580,953,029,094,930,017,530,335,849,018,627,361,032,142,
364,290,222,702,241,675,518,849,627,935,044,548,080,641,303,453,266,127,625,
931,866,754,168,147,684,291,821,745,245,669,337,910,137,835,736,651,476,522,
707,558,775,294,296,354,805,886,694,921,029,624,359,117,384,435,046,013,139,
311,136,504,495,655,231,522,270,363,527,062,997,822,142,293,468,835,645,257,
777,385,989,956,713,242,154,510,431,365,186,702,712,789,574,712,627,701,435,
623,333,192,803,991,578,481,038,319,731,536,312,563,792,542,194,360,907,838,
152,476,886,217,237,605,327,902,078,617,886,222,437,797,353,556,068,292,099,
600,107,709,120,927,557,744,575,906,244,622,516,875,984,037,626,100,066,284,
308,429,854,781,387,905,217,604,118,198,588,645,507,601,902,277,896,362,309,
689,948,224,820,212,520,784,825,099,702,463,097,886,055,307,772,597,848,380,
516,518,920,421,479,589,287,903,233,015,566,899,239,463,467,140,767,323,707,
573,805,881,504,162,717,163,364,277,069,323,910,774,712,348,824,427,522,218,
762,987,594,141,138,332,900,389,850,984,983,783,746,014,900,780,963,355,144,
734,386,477,239,101,174,308,171,469,153,618,759,899,225,859,872,363,014,198,
297,062,025,633,131,129,171,702,616,028,422,489,921,113,035,427,539,519,384,
703,948,065,204,553,397,791,893,732,398,467,448,485,312,239,969,570,107,057,
675,107,979,914,028,862,984,022,968,570,484,403,991,024,965,765,690,524,418,
926,657,421,351,258,366,434,836,586,477,024,749,329,148,690,998,838,563,167,
237,965,191,464,211,610,388,279,392,758,409,870,005,281,263,266,358,191,673,
043,782,532,905,568,129,218,989,065,610,737,746,523,808,275,874,910,126,337,
817,266,497,020,573,302,101,232,678,450,472,746,629,585,679,870,877,916,793,
535,728,263,429,252,313,807,251,392,672,404,754,369,478,608,934,654,133,756,
163,930,267,494,055,024,313,685,198,581,603,492,261,347,953,506,812,075,046,
395,468,644,603,369,053,007,694,022,799,740,969,611,875,231,381,479,447,202,
044,297,688,083,479,582,102,200,780,530,786,300,741,434,921,529,706,988,385,
909,987,691,642,398,956,959,230,797,450,731,391,100,889,272,577,070,483,838,
607,344,081,973,390,951,917,388,445,252,813,163,063,924,545,447,368,150,555,
649,431,478,553,192,564,083,515,921,979,497,672,100,879,450,187,103,260,557,
827,250,638,631,747,397,520,761,028,499,020,127,869,095,594,760,066,042,452,
609,069,231,727,479,506,224,006,940,525,467,906,259,380,301,671,368,693,967,
046,105,218,138,486,836,490,163,092,407,777,756,634,961,719,080,092,849,802,
834,301,354,112,832,625,733,455,539,439,264,120,706,614,466,541,353,515,545,
440,707,636,300,990,203,878,567,031,005,525,280,200,095,468,860,471,579,042,
476,895,682,587,903,665,087,374,463,728,314,825,856,634,888,395,243,710,213,
062,762,902,016,825,091,672,859,126,697,251,049,267,632,116,768,769,313,369,
790,388,808,314,039,118,011,218,169,592,484,800,390,161,331,358,185,115,785,
995,562,294,327,269,541,935,734,140,008,196,373,326,233,649,551,389,396,824,
494,960,865,889,299,440,510,556,042,593,442,269,145,818,667,965,557,393,482,
778,080,838,861,445,679,036,532,090,029,068,726,406,704,973,862,183,986,284,
500,383,200,447,689,903,348,976,670,356,567,369,388,202,603,805,160,909,105,
913,994,350,924,545,442,809,199,274,200,025,516,118,291,074,416,021,152,194,
139,729,144,401,283,824,354,340,141,036,194,020,468,424,965,759,485,842,003,
199,163,825,335,521,551,501,670,989,950,146,739,127,656,494,933,057,078,463,
597,792,944,988,179,482,323,449,290,296,082,231,868,032,755,526,916,873,967,
913,206,624,268,351,193,661,470,542,917,109,516,367,051,638,851,533,679,704,
548,532,833,538,625,570,987,679,815,388,233,343,147,951,861,392,071,312,252,
271,480,670,647,387,693,076,761,779,554,086,475,783,650,572,332,450,342,207,
600,547,189,116,632,779,316,746,870,999,077,502,965,033,395,702,315,965,814,
567,024,174,436,034,449,484,993,355,356,084,772,073,045,238,218,637,134,839,
897,206,540,168,526,503,910,598,495,659,065,196,101,183,315,348,457,979,483,
000,738,764,701,792,179,000,996,718,460,647,533,967,035,169,642,001,927,759,
354,287,293,375,259,098,346,117,574,122,821,974,189,830,927,605,227,485,833,
461,554,224,867,619,921,107,939,829,266,446,767,414,050,581,336,152,970,324,
864,775,959,692,212,657,784,894,215,620,512,087,324,588,932,941,935,207,249,
610,111,604,616,315,297,237,235,096,141,355,119,670,206,609,812,824,346,165,
243,063,693,231,917,819,401,169,876,370,387,498,169,703,355,732,127,663,369,
116,032,863,200,746,753,276,575,269,779,791,682,123,612,847,074,640,540,008,
479,518,610,161,017,070,033,098,004,641,549,173,184,023,974,482,748,356,450,
328,584,546,205,799,072,228,510,298,677,148,141,547,268,605,210,123,855,589,
543,161,442,740,175,749,714,263,527,488,688,831,964,458,037,077,817,715,542,
114,160,739,163,175,827,327,057,535,082,740,733,486,399,662,558,379,496,320,
036,826,348,420,942,950,218,607,603,182,260,880,143,706,227,512,737,497,214,
630,751,518,492,415,103,303,048,229,426,356,072,560,274,546,765,066,767,658,
329,366,104,055,213,147,623,119,407,820,566,449,990,910,421,552,004,294,319,
552,317,562,134,827,409,475,733,780,541,009,463,880,959,358,951,370,499,262,
685,705,341,222,451,463,446,889,723,300,705,078,959,947,023,503,544,649,572,
320,971,878,091,408,962,710,509,719,735,569,698,414,874,884,564,959,681,989,
979,927,904,488,162,247,549,674,792,294,347,569,856,174,828,259,275,164,114,
691,554,245,121,517,787,719,996,848,433,080,045,037,633,761,864,965,095,623,
607,373,484,221,470,969,718,334,413,102,925,289,683,597,185,383,730,025,789,
032,580,759,423,672,144,060,797,994,206,312,809,340,229,420,137,667,643,809,
058,191,744,999,218,747,881,795,526,339,891,224,754,676,652,496,221,855,211,
282,999,670,858,459,157,517,472,992,287,012,068,339,345,692,887,698,701,784,
280,641,441,885,973,155,308,605,419,240,128,286,037,236,915,802,573,747,621,
289,150,987,975,370,366,563,607,741,711,858,248,629,159,087,127,794,473,187,
932,646,186,493,428,215,196,462,269,328,300,604,405,577,665,379,105,884,162,
763,467,747,251,285,640,720,015,144,504,302,167,410,449,554,677,265,451,958,
467,176,812,007,734,307,885,505,376,500,884,440,221,643,726,975,028,407,680,
965,716,764,325,250,308,045,077,262,658,736,208,539,175,149,062,908,860,745,
820,961,755,707,048,761,598,876,086,171,185,050,721,325,932,390,767,279,153,
092,642,859,418,152,084,042,615,605,315,576,912,860,479,092,154,690,269,246,
844,426,044,462,124,480,242,621,254,244,112,379,101,717,144,976,933,829,249,
750,176,683,449,155,408,715,810,771,737,665,043,039,673,511,718,029,523,796,
022,074,671,450,719,167,973,414,715,908,954,236,642,757,136,381,310,696,707,
559,001,028,320,108,557,618,771,444,134,165,497,762,605,833,971,502,513,497,
189,658,807,074,279,998,074,566,847,088,710,710,181,887,583,106,399,024,577,
012,040,452,993,612,554,196,330,490,720,793,920,890,296,203,232,540,357,205,
246,373,590,956,570,058,021,454,014,179,833,453,440,404,539,728,603,155,604,
973,427,841,702,578,220,009,287,530,615,646,115,855,014,535,275,064,525,947,
655,531,338,963,653,904,297,459,658,887,800,186,573,106,805,931,390,077,106,
421,474,475,576,803,491,749,462,794,256,938,162,455,301,196,828,868,616,279,
062,240,700,621,566,324,484,433,900,586,022,999,214,738,662,420,481,859,828,
961,730,648,986,403,444,104,930,574,137,393,184,065,129,729,067,320,552,200,
391,397,113,451,058,196,401,407,220,671,037,708,787,283,978,163,485,514,994,
774,514,493,702,078,271,781,648,145,397,170,593,384,154,508,663,838,485,251,
673,575,111,135,748,814,731,627,612,406,776,090,590,239,167,246,721,432,820,
610,327,561,242,077,456,548,006,716,535,292,085,110,713,246,209,460,516,303,
637,277,592,384,813,248,222,235,048,444,617,160,128,252,718,132,414,204,092,
221,892,666,188,373,299,722,143,234,348,945,531,878,213,072,170,711,982,551,
381,795,955,934,660,912,397,894,553,064,601,476,483,607,221,296,785,286,751,
218,063,370,936,270,818,493,626,135,765,188,592,679,288,615,995,863,677,043,
697,325,759,885,225,956,413,133,268,577,770,183,127,763,273,952,063,747,957,
454,078,370,937,218,204,252,680,479,365,667,272,766,283,838,942,638,023,878,
696,187,035,108,321,462,429,032,936,560,763,174,419,920,218,211,660,512,669,
116,836,746,453,944,178,878,911,744,640,325,690,583,865,997,486,751,703,181,
474,478,297,585,132,494,273,823,886,642,992,924,730,505,908,714,114,573,977,
545,013,557,673,444,476,883,817,819,045,444,164,600,016,235,184,280,621,114,
010,793,452,114,381,392,137,969,269,807,370,050,888,698,285,033,883,747,882,
868,510,929,174,885,011,222,895,970,321,653,685,993,745,475,022,194,526,489,
405,321,943,860,178,698,405,319,785,527,067,445,741,826,872,612,518,714,553,
557,155,414,933,492,226,055,525,580,375,262,535,010,560,376,081,580,505,147,
050,576,768,663,463,619,788,574,168,654,097,682,907,552,631,550,223,696,439,
670,327,755,014,191,677,210,481,372,978,603,287,785,766,678,215,613,886,623,
279,903,263,522,688,508,467,588,209,035,619,824,605,577,122,218,476,251,083,
225,311,032,068,176,315,628,836,787,454,479,400,702,561,685,723,070,206,047,
661,403,030,426,176,276,299,368,774,792,143,969,965,078,996,339,609,537,667,
723,694,291,781,694,065,591,771,613,787,701,991,856,998,437,248,495,039,721,
741,914,247,253,744,644,796,628,846,546,984,096,474,539,704,268,156,719,564,
042,773,286,848,939,036,481,725,844,084,302,690,369,770,599,800,223,450,578,
860,577,209,470,262,020,990,456,064,755,863,769,668,256,030,557,829,302,982,
320,153,820,757,256,188,161,322,933,509,560,056,975,636,502,085,767,073,008,
547,826,705,962,154,327,272,174,112,531,387,663,554,345,258,484,256,749,016,
193,926,777,471,197,755,110,557,770,852,920,756,141,533,363,183,391,852,315,
891,007,363,711,524,664,718,560,629,059,153,785,179,852,727,401,828,199,571,
354,995,210,219,926,886,791,833,969,728,046,683,572,730,448,138,358,845,577,
264,305,457,214,331,397,575,582,872,845,622,057,245,632,486,453,775,216,615,
608,176,401,813,988,113,561,435,769,041,805,483,087,292,478,981,414,057,619,
069,118,817,488,626,347,433,970,812,303,549,600,906,715,345,122,809,912,331,
618,977,512,164,473,765,894,702,239,295,405,354,631,119,516,168,947,989,627,
453,052,271,915,147,170,934,588,770,377,117,904,188,792,143,095,923,257,833,
618,840,223,498,268,506,603,340,640,482,999,927,255,287,487,717,623,053,449,
643,581,375,875,531,130,936,128,711,248,429,076,051,454,098,497,107,078,828,
657,912,449,803,036,570,141,107,773,519,463,794,648,461,445,629,532,132,211,
834,354,741,300,705,040,818,318,245,792,862,198,265,705,681,119,360,862,003,
499,137,725,882,979,840,579,708,132,189,468,146,797,080,239,380,850,233,285,
365,823,741,165,733,400,763,768,322,450,773,535,856,484,783,625,576,301,631,
879,772,476,653,983,047,394,869,583,868,526,823,271,681,762,693,081,024,087,
792,179,895,309,254,401,786,787,066,151,550,212,806,692,931,242,243,231,146,
756,035,028,510,377,666,218,361,480,288,151,211,861,134,667,741,157,957,785,
984,977,505,435,519,047,155,084,991,278,731,335,452,375,243,301,146,095,510,
010,650,894,271,185,511,319,103,968,624,277,931,543,599,732,594,198,242,339,
143,907,957,279,862,907,846,720,094,713,457,221,661,576,234,831,786,735,062,
598,416,016,649,286,386,890,752,834,356,211,295,741,924,347,632,580,872,729,
463,646,336,742,389,213,709,911,142,589,498,584,320,970,917,021,665,794,574,
555,472,462,364,329,538,845,731,474,204,723,662,791,251,710,380,878,306,821,
476,994,997,408,832,184,270,597,988,461,309,798,577,810,286,486,243,924,570,
995,782,111,976,128,953,691,640,069,252,607,000,889,544,955,180,948,102,628,
214,163,417,535,503,335,999,250,355,194,448,362,499,351,245,534,593,535,602,
589,605,039,148,684,133,157,483,147,430,703,083,134,741,695,370,575,958,768,
487,083,755,277,937,838,789,720,704,123,253,662,193,731,109,924,816,084,056,
413,015,783,277,559,643,128,317,329,706,062,744,873,774,693,163,788,301,424,
252,431,496,230,523,216,798,490,764,271,378,014,664,202,301,383,735,542,516,
847,798,822,464,575,985,833,807,041,267,066,332,914,063,033,818,491,491,813,
470,786,735,777,003,487,506,359,992,412,089,642,989,945,976,631,938,222,457,
722,437,370,786,960,585,815,799,394,674,432,518,158,621,660,559,775,071,988,
816,695,568,211,637,751,395,033,192,358,299,975,938,154,507,468,032,083,024,
737,848,200,195,606,832,951,354,618,399,062,437,722,933,350,354,708,920,164,
552,251,665,848,892,369,319,614,393,666,074,505,866,627,393,886,795,251,311,
428,014,698,948,091,878,905,920,933,577,859,692,224,068,296,408,338,418,245,
817,528,920,807,912,882,780,128,618,528,451,245,944,257,133,999,170,700,295,
580,514,008,431,664,673,916,166,647,049,300,703,228,553,233,489,968,414,632,
037,318,624,614,724,464,987,044,184,812,203,241,346,070,198,218,844,715,969,
149,823,946,913,517,467,418,436,551,614,578,402,976,344,778,513,171,251,797,
551,001,334,737,651,124,294,321,657,047,101,662,171,903,478,596,332,564,866,
873,633,552,870,691,859,120,668,492,356,186,256,167,444,155,052,211,442,738,
090,508,148,664,775,458,010,068,888,218,340,584,960,201,439,021,398,792,369,
858,540,062,891,969,708,715,148,111,850,825,830,437,345,136,230,519,131,004,
080,026,254,320,167,179,151,667,095,498,770,972,160,043,354,913,871,503,602,
847,971,911,563,878,192,783,699,588,308,549,590,866,292,496,054,485,239,051,
139,093,514,559,725,981,276,723,025,795,872,959,979,238,114,516,197,721,675,
400,369,875,557,737,385,838,779,038,549,324,426,391,556,993,651,757,704,278,
203,309,920,418,621,035,527,706,725,892,600,099,044,892,450,407,284,011,275,
475,963,084,011,182,427,196,484,442,018,361,055,535,574,722,110,281,665,654,
268,060,487,842,930,901,222,306,033,946,651,533,313,192,787,522,189,584,453,
074,871,323,440,642,687,614,030,057,444,749,299,567,558,436,811,168,333,188,
646,421,027,692,663,090,245,074,502,046,719,839,022,184,806,545,879,573,420,
515,202,863,925,056,298,474,508,339,779,243,403,866,779,012,912,079,446,016,
467,696,386,500,006,309,579,974,947,979,216,953,761,089,502,130,101,884,549,
452,323,153,184,301,544,535,211,544,607,749,710,245,834,219,256,659,553,969,
937,664,080,442,884,416,619,628,377,900,284,901,968,434,752,523,516,800,760,
160,183,727,606,441,892,491,121,257,955,551,963,347,420,491,278,149,424,096,
948,751,357,340,709,609,674,321,245,189,549,123,337,149,249,790,194,781,929,
726,526,531,181,715,317,346,198,502,351,765,156,214,182,162,314,006,322,948,
565,079,802,960,901,988,310,757,917,840,194,683,013,277,011,011,177,873,805,
141,065,754,249,513,611,793,214,783,419,177,792,371,553,496,742,370,937,690,
260,154,072,880,704,301,670,027,574,322,780,674,924,526,625,386,306,370,627,
876,233,450,283,476,570,499,813,576,447,982,691,639,148,458,251,783,702,922,
338,440,017,201,429,690,933,670,474,338,369,851,815,423,515,645,577,726,188,
039,559,313,752,420,629,935,239,293,964,009,949,751,318,370,890,949,965,994,
915,055,769,048,054,172,790,703,244,156,701,130,446,110,843,214,189,219,568,
966,323,647,659,449,140,730,316,947,175,791,926,915,761,847,973,508,828,083,
228,855,887,800,018,568,009,997,138,673,417,446,122,521,854,579,219,685,951,
955,476,590,273,378,426,856,286,276,178,994,481,154,258,478,617,443,186,828,
107,555,977,898,446,651,573,816,636,888,919,659,627,333,375,583,082,024,307,
766,847,448,678,795,204,895,091,065,535,126,019,060,818,070,312,911,129,022,
286,926,023,073,956,251,961,153,935,323,728,109,100,458,373,526,098,959,560,
298,776,183,590,581,065,021,246,887,610,067,234,356,838,268,513,448,647,765,
733,881,252,034,040,084,256,822,985,955,029,870,472,081,688,826,905,660,238,
582,500,363,623,846,311,757,811,977,239,644,079,173,122,595,967,229,267,277,
249,779,158,508,723,060,850,171,164,764,778,500,462,603,504,983,853,254,959,
732,418,529,888,316,912,979,118,226,926,303,618,580,174,612,557,855,964,588,
969,366,811,899,040,309,051,847,331,325,396,075,085,715,699,164,594,941,958,
073,488,970,752,606,490,838,313,356,704,386,225,597,610,303,932,197,848,727,
680,143,438,930,419,646,798,433,181,484,160,373,761,623,637,567,167,624,233,
234,068,967,376,568,994,381,902,452,720,719,510,433,202,065,063,483,880,229,
221,528,925,210,550,230,338,572,538,635,950,341,037,486,172,645,458,192,043,
527,516,140,780,327,051,210,243,796,473,172,737,587,271,250,943,537,811,857,
645,211,773,240,411,305,091,460,984,761,661,958,283,954,444,087,263,804,632,
042,523,659,741,275,088,641,575,606,418,721,268,370,792,285,985,911,264,788,
262,957,691,046,189,473,774,054,428,875,902,450,432,053,087,588,256,826,999,
484,129,480,957,895,939,370,633,502,986,695,434,484,270,744,445,657,444,014,
400,593,750,153,805,788,472,825,666,792,889,269,029,089,735,402,957,136,728,
134,460,949,054,536,110,741,255,522,010,441,391,952,801,052,426,112,056,529,
216,348,800,575,038,108,247,891,740,503,461,419,242,130,392,998,250,997,072,
381,002,588,414,357,077,681,862,278,311,968,309,813,042,781,920,346,038,003,
698,955,973,245,659,842,802,980,153,740,529,970,187,170,222,568,481,984,434,
875,253,526,407,768,154,343,966,439,677,077,800,357,199,996,921,114,199,274,
966,504,539,993,590,192,744,526,366,779,365,507,737,292,595,410,932,162,562,
904,294,537,916,707,311,322,324,062,152,814,830,183,976,555,543,837,510,809,
121,806,135,967,288,680,723,020,801,810,634,767,045,108,479,656,565,991,870,
189,472,187,023,943,009,733,851,348,142,670,560,549,757,428,647,805,924,401,
093,154,267,819,548,212,128,938,998,988,856,775,504,697,255,772,332,377,105,
472,139,944,128,751,996,065,519,332,080,998,318,777,954,662,549,814,169,971,
141,421,598,012,447,546,178,683,911,413,259,231,073,999,658,408,278,048,718,
685,773,584,048,213,140,332,360,806,501,027,607,577,142,665,268,369,886,133,
407,772,996,653,810,894,445,783,758,011,509,309,200,094,712,258,338,964,746,
208,848,259,723,142,117,833,018,600,327,307,709,129,550,592,902,652,544,548,
545,744,497,375,448,410,128,218,318,926,024,599,046,889,643,915,156,482,831,
620,873,871,138,588,590,393,878,055,170,070,292,938,577,370,101,426,143,562,
913,217,277,936,098,111,525,290,637,453,802,590,952,419,202,933,641,172,814,
214,928,608,717,662,997,505,117,390,984,625,550,904,718,545,199,018,727,101,
297,516,018,200,777,982,888,407,217,363,205,310,585,193,638,479,535,597,346,
039,671,549,182,875,518,392,704,210,166,550,145,719,301,648,679,027,813,856,
035,099,549,506,432,899,649,919,297,394,749,213,742,656,105,818,308,501,003,
959,113,402,010,400,043,764,850,453,589,751,242,940,852,996,156,039,752,923,
824,414,642,673,025,544,641,794,341,726,707,005,538,171,786,400,365,908,096,
917,258,157,105,678,370,492,923,805,375,389,704,185,674,993,211,865,296,482,
304,988,809,979,776,850,471,024,063,496,279,018,305,795,734,354,475,875,433,
762,652,910,516,842,130,112,162,011,416,638,386,345,927,152,058,030,132,926,
036,597,970,537,109,793,343,207,812,177,620,192,751,776,550,435,352,877,218,
610,753,363,668,116,449,455,430,920,445,703,867,533,852,864,139,846,570,613,
833,797,522,273,945,000,017,084,321,547,168,926,988,024,533,752,702,565,086,
952,313,846,723,204,846,491,867,039,537,499,841,969,206,504,988,501,452,502,
410,326,754,388,920,160,600,937,329,497,877,298,602,077,298,019,206,805,705,
826,686,787,727,780,070,526,976,972,981,933,502,793,587,804,550,993,062,432,
887,060,357,399,700,142,332,556,909,592,677,786,050,567,367,670,317,468,481,
900,989,800,205,082,800,147,042,252,724,473,378,105,109,553,056,846,046,452,
581,664,140,198,234,997,284,308,111,544,375,613,403,780,548,275,041,010,477,
963,061,322,252,978,135,258,762,012,190,695,875,257,151,922,921,624,170,679,
246,939,550,746,408,480,596,643,434,039,566,546,475,362,382,158,954,544,747,
224,701,136,414,748,085,296,845,042,583,753,019,167,291,171,832,469,717,989,
862,223,981,141,911,293,681,503,103,454,509,923,426,592,642,478,259,773,487,
101,981,357,721,555,530,776,458,178,078,028,165,078,614,015,532,621,560,354,
579,893,409,351,754,944,637,540,725,729,216,064,598,168,303,096,032,430,844,
560,194,188,794,904,579,159,643,024,012,162,580,368,649,319,301,230,906,781,
812,560,282,282,001,847,863,067,866,880,571,138,502,405,979,887,023,750,813,
890,214,452,091,895,753,372,883,528,562,129,021,411,064,134,641,808,511,950,
674,981,481,105,076,349,504,219,795,058,508,541,508,939,092,514,532,309,081,
913,119,358,317,748,179,528,099,416,104,515,023,102,024,201,565,922,674,954,
397,692,103,586,355,732,189,499,207,247,848,997,916,041,667,542,651,487,139,
713,305,175,397,318,063,827,342,429,373,464,307,849,347,875,938,739,288,903,
018,885,265,675,908,067,574,241,527,096,463,929,583,147,416,046,910,950,621,
694,253,243,447,525,487,517,028,232,471,632,713,153,585,490,796,347,081,274,
506,834,578,863,790,999,384,528,326,163,929,993,962,094,059,529,072,930,482,
541,221,731,623,464,966,457,393,253,601,273,828,776,621,506,170,538,462,331,
759,312,789,825,259,073,015,290,442,631,687,440,321,182,204,220,551,602,058,
080,634,378,122,084,544,591,241,152,007,338,976,050,980,165,140,514,946,800,
517,150,096,587,999,570,333,281,607,428,329,403,155,446,227,968,411,255,943,
943,885,043,200,238,554,809,892,371,267,665,443,709,777,691,982,333,303,124,
385,026,748,545,170,990,532,470,923,298,186,319,395,307,634,574,260,969,303,
380,890,570,475,015,727,033,483,717,559,355,826,057,295,777,359,736,281,848,
344,345,089,690,942,346,598,776,765,013,995,092,929,193,431,055,028,565,843,
178,346,927,018,683,518,979,919,647,447,798,161,825,693,892,736,330,956,908,
801,090,667,076,396,014,720,784,211,989,194,219,486,103,751,789,169,103,866,
960,543,742,045,527,372,557,209,395,615,994,197,680,826,850,774,495,875,348,
605,508,696,479,677,188,668,246,620,303,823,649,030,573,038,870,527,426,954,
726,319,691,201,407,354,814,240,136,345,753,433,056,769,000,967,463,317,743,
682,290,715,168,328,365,292,129,825,093,550,706,825,938,899,863,776,483,240,
078,064,519,565,670,868,688,567,117,204,812,039,997,412,872,877,997,970,034,
852,565,129,906,086,172,945,598,415,849,048,667,966,249,151,636,520,653,997,
407,057,699,427,392,662,688,532,826,759,190,151,186,824,949,204,277,498,887,
226,278,508,447,300,709,894,972,998,369,679,194,612,769,840,301,625,876,218,
365,951,990,983,192,636,822,651,297,370,180,696,118,880,015,231,217,278,080,
898,706,063,024,690,861,193,561,480,988,921,161,940,728,077,521,428,525,750,
058,135,425,387,699,695,896,406,101,360,956,545,269,608,549,363,609,633,658,
339,228,420,451,638,614,538,840,686,227,862,385,542,934,222,356,882,363,310,
153,252,873,875,021,365,970,912,088,416,166,212,941,347,467,405,961,476,445,
348,350,521,168,624,673,159,625,558,106,758,431,313,857,063,758,767,876,737,
139,254,615,184,762,173,137,073,054,422,302,101,616,858,794,567,418,304,057,
070,631,470,626,116,586,712,286,669,745,006,892,181,958,486,579,596,572,254,
641,941,449,169,282,421,458,474,425,729,902,673,845,956,378,374,044,452,903,
006,161,310,420,976,772,444,585,048,122,185,433,477,220,064,261,631,713,479,
820,963,243,337,049,219,182,921,024,367,622,913,180,014,358,778,668,090,415,
044,978,865,752,515,600,311,732,933,497,748,119,099,337,094,892,512,086,981,
326,655,176,855,653,771,692,124,114,270,460,189,106,103,747,875,167,920,468,
298,925,964,331,381,075,754,807,338,622,722,684,947,801,790,580,100,170,238,
298,536,637,386,605,047,740,578,202,752,676,522,939,225,932,292,553,700,398,
077,264,873,191,348,001,780,706,050,689,897,571,674,467,348,751,602,142,534,
075,333,472,269,786,251,295,212,637,594,446,257,820,518,075,987,004,690,962,
575,106,560,501,964,476,903,707,925,602,793,165,432,288,654,894,157,570,992,
260,882,348,468,853,772,504,632,631,987,726,828,079,180,817,841,142,418,714,
693,819,043,847,495,162,521,621,028,978,462,538,370,737,272,926,576,759,960,
290,579,766,672,450,139,541,330,923,670,169,096,515,618,105,722,791,337,445,
964,662,058,060,780,281,357,077,659,334,159,809,617,286,353,130,115,976,916,
333,073,506,778,688,055,923,182,937,210,541,054,905,612,966,517,177,907,318,
308,545,637,844,788,282,286,322,735,349,571,612,155,569,188,298,312,930,663,
058,111,434,121,213,382,801,824,836,868,964,156,553,412,549,096,558,974,526,
232,924,133,933,049,232,088,554,500,719,953,132,004,349,314,035,871,153,881,
431,164,836,565,599,627,024,803,830,213,399,946,062,325,372,285,691,079,365,
213,765,197,497,878,618,260,274,302,446,159,469,892,500,907,897,085,593,487,
815,110,839,631,956,754,592,774,993,461,643,280,602,775,236,157,720,672,508,
193,023,025,631,004,667,664,709,614,147,563,880,756,718,532,470,747,137,049,
332,000,908,308,078,200,176,403,544,237,758,460,412,383,321,607,438,154,352,
536,118,581,487,180,109,715,833,511,884,615,157,247,522,094,038,674,133,357,
662,985,195,840,624,635,482,284,261,811,244,107,603,822,276,789,539,703,271,
626,210,981,503,959,535,720,008,852,553,904,990,002,873,592,742,975,629,174,
333,168,082,625,360,795,292,311,714,097,483,071,408,590,014,447,981,393,496,
561,835,048,498,765,809,271,370,230,908,117,377,469,440,082,715,065,062,604,
323,128,111,564,634,360,792,051,002,898,645,902,965,170,872,121,879,055,681,
122,855,156,900,041,448,136,547,942,194,275,997,316,912,556,658,218,512,393,
990,412,013,437,670,714,009,782,140,182,403,641,283,044,887,026,446,387,249,
603,353,841,029,453,752,487,296,408,314,543,474,786,587,285,729,221,876,694,
460,653,486,964,710,561,175,142,826,326,896,432,338,386,160,485,606,424,657,
527,174,820,967,752,034,509,198,536,000,028,732,850,111,730,210,231,332,561,
833,827,801,026,067,385,921,321,821,259,709,857,782,077,906,368,416,016,993,
787,257,431,499,037,293,368,985,216,838,522,629,805,979,802,862,246,378,317,
408,945,599,164,475,659,320,555,346,261,754,909,904,994,756,973,685,444,991,
760,725,302,664,606,379,190,709,886,664,102,743,872,705,652,174,780,461,308,
174,398,264,172,574,347,951,620,817,698,924,823,274,084,774,024,701,348,998,
304,291,284,518,395,434,903,547,076,634,096,218,602,170,920,986,912,020,673,
755,014,343,878,358,109,894,462,627,386,891,465,883,346,433,279,940,998,183,
526,609,663,879,090,895,826,896,418,333,525,787,713,268,429,019,370,903,463,
295,809,952,219,679,220,736,172,090,494,695,350,227,605,638,312,945,935,698,
577,879,151,320,240,836,463,470,758,260,047,418,297,264,307,589,413,504,460,
235,863,499,980,228,695,499,586,486,096,498,214,974,463,386,253,146,864,774,
778,522,513,844,280,010,528,630,381,823,985,951,916,743,134,447,796,526,935,
160,497,476,352,463,123,379,295,314,420,774,548,485,146,592,321,029,898,361,
597,774,446,229,291,026,597,837,897,569,197,336,351,442,920,011,402,632,063,
293,980,845,502,972,957,294,720,870,720,304,316,480,490,398,517,504,792,638,
133,946,296,447,068,989,572,816,984,856,507,190,431,445,124,748,049,558,284,
694,977,751,415,526,084,577,760,077,887,568,830,376,379,657,921,570,312,892,
276,761,316,158,207,873,023,660,228,942,756,740,280,072,932,819,161,549,692,
972,322,342,442,265,801,649,603,632,750,684,852,005,615,940,003,774,853,274,
430,185,630,998,772,479,680,250,347,347,745,456,943,652,873,935,720,357,137,
232,833,222,779,316,370,940,904,679,414,336,271,359,137,436,658,092,854,897,
735,229,568,908,387,942,143,975,944,900,142,151,643,419,309,522,412,397,388,
430,438,381,489,569,427,656,910,794,298,633,671,549,566,524,046,536,536,469,
821,262,045,147,817,014,967,232,675,927,011,979,601,989,186,219,436,719,580,
798,683,114,431,231,176,488,315,505,315,666,761,371,279,449,986,110,026,861,
022,410,474,203,672,501,372,679,615,730,830,866,407,215,568,739,507,942,033,
566,318,574,128,608,112,874,308,392,812,145,704,077,558,225,270,453,821,543,
261,110,755,326,533,601,475,878,254,642,104,318,966,996,754,053,058,891,890,
028,294,649,564,759,942,931,606,554,650,214,794,442,791,277,275,947,425,450,
735,772,684,070,870,784,919,562,582,392,519,630,215,686,988,473,944,734,825,
888,586,199,332,180,196,248,838,132,024,607,648,116,002,663,284,126,543,652,
929,975,071,676,580,736,100,351,946,455,254,034,149,393,874,768,433,460,142,
408,882,145,487,848,504,790,993,075,074,569,065,862,392,331,675,894,382,563,
866,494,353,609,870,792,022,994,331,192,619,485,206,489,214,121,106,693,632,
576,470,769,336,615,457,529,311,454,375,012,986,495,292,227,622,421,795,924,
533,307,230,615,064,066,674,400,009,183,400,543,587,069,792,422,026,806,641,
653,671,287,493,380,081,654,707,431,207,059,668,608,224,963,429,146,415,633,
969,827,016,640,165,083,722,750,270,947,469,933,568,220,827,175,627,142,588,
003,244,129,524,940,969,932,131,300,357,646,902,773,762,016,743,412,121,290,
268,103,281,679,427,517,226,798,050,408,017,884,666,338,802,540,042,648,098,
659,238,357,580,796,613,524,074,036,964,757,225,999,384,731,578,966,268,732,
015,831,819,137,375,811,109,045,019,737,766,689,125,557,765,996,667,196,860,
937,865,287,363,774,178,034,468,025,368,564,263,017,981,482,426,741,701,751,
075,836,030,625,467,931,943,002,481,411,727,650,031,703,047,253,471,432,231,
932,531,723,953,946,504,398,543,508,182,603,929,406,312,386,168,713,832,585,
242,803,974,484,375,709,023,771,310,456,848,033,719,010,361,883,761,197,349,
054,692,081,980,325,556,704,224,886,026,726,964,727,589,306,624,299,462,749,
194,233,694,030,512,246,440,518,073,839,161,758,962,586,884,290,444,610,478,
879,455,355,937,726,100,505,784,450,804,782,807,186,519,750,073,061,407,649,
976,292,702,450,842,547,865,494,220,622,013,406,621,952,195,944,480,599,542,
940,693,087,372,966,188,259,812,431,428,244,495,729,476,433,649,785,140,942,
346,290,572,957,799,594,768,509,863,623,713,371,399,413,295,739,007,183,203,
042,700,161,105,388,321,777,431,366,022,398,152,455,225,871,947,865,377,354,
536,359,163,448,083,812,326,154,404,022,936,577,115,342,518,607,713,629,345,
479,029,476,967,711,059,422,985,871,437,103,780,773,388,093,984,479,639,627,
894,489,165,662,322,686,151,195,158,324,130,840,567,747,628,990,761,941,673,
202,504,780,779,985,935,101,794,359,297,272,673,763,548,585,382,410,361,067,
952,619,339,205,813,183,855,079,015,701,249,241,297,991,944,436,489,485,863,
123,355,291,387,221,678,697,833,476,995,273,960,683,381,031,116,965,834,908,
041,406,619,153,063,451,436,036,450,101,736,333,953,384,817,644,216,149,475,
680,331,607,425,068,483,937,467,807,803,836,030,049,721,424,129,925,638,477,
515,513,399,738,434,984,795,328,147,407,953,202,535,302,603,459,752,129,392,
903,253,080,267,661,335,282,935,628,016,220,108,224,855,841,501,241,862,974,
166,626,848,376,728,071,156,739,782,073,005,161,313,435,534,463,897,687,414,
883,942,251,818,343,200,470,690,327,103,701,674,174,772,123,504,832,770,212,
877,581,318,084,518,778,877,010,277,824,692,670,151,633,268,428,569,017,797,
947,093,587,146,876,350,947,254,374,474,864,495,256,202,485,968,697,335,925,
648,585,592,641,479,100,202,158,780,936,010,782,385,752,836,502,300,485,408,
565,130,539,364,926,833,198,944,403,692,337,816,669,730,345,998,189,892,540,
408,853,729,787,591,110,102,999,999,815,577,394,502,270,573,266,345,078,885,
746,404,281,476,474,137,574,998,862,829,897,973,121,495,495,428,642,925,547,
819,202,276,072,239,911,467,902,298,672,117,279,392,368,524,504,511,787,514,
911,594,026,151,949,277,783,840,647,659,435,680,427,770,437,610,908,050,526,
500,828,532,556,968,718,988,163,440,291,829,535,735,985,336,280,053,375,962,
282,266,979,242,395,460,878,071,366,196,575,656,538,735,370,123,307,975,061,
004,961,137,618,466,905,801,140,177,828,828,683,218,133,434,508,138,678,177,
072,367,227,922,855,799,113,312,329,909,555,983,155,632,929,086,544,387,196,
165,771,025,996,238,064,840,527,310,327,445,461,588,267,433,416,903,538,060,
039,545,105,889,506,845,187,477,808,033,251,181,108,556,363,842,701,525,767,
203,767,834,209,134,931,641,824,648,271,501,239,836,162,668,755,147,308,000,
515,168,362,404,281,477,805,161,945,630,527,556,698,524,937,757,554,729,362,
029,874,915,931,349,755,197,892,128,606,892,901,862,419,788,206,122,814,046,
647,760,201,386,167,976,618,573,930,575,933,120,563,408,776,362,163,461,069,
821,515,532,741,228,802,596,601,237,467,531,232,886,684,038,516,281,175,398,
647,976,303,506,424,630,142,440,474,626,731,528,710,799,357,372,730,731,230,
371,174,445,632,556,275,023,852,573,562,547,237,957,397,426,842,637,210,872,
455,255,009,325,611,396,748,782,920,669,878,921,249,327,972,167,475,862,341,
332,732,583,493,801,446,781,331,302,984,222,560,896,234,359,430,978,864,629,
301,927,175,070,141,539,976,726,038,637,595,814,965,848,498,616,389,477,317,
638,885,846,105,529,040,864,674,161,059,007,799,926,430,277,945,824,753,484,
150,461,006,359,464,507,101,431,674,786,238,906,688,249,798,650,661,678,739,
872,059,318,296,060,083,995,926,787,961,915,013,139,309,126,134,683,487,617,
387,808,658,522,364,324,367,962,918,736,771,844,903,723,220,600,041,998,973,
853,019,848,282,117,627,142,781,501,025,904,115,234,296,924,411,872,034,977,
244,090,250,753,162,787,151,796,580,369,339,471,499,518,448,127,979,254,077,
695,972,904,009,908,697,910,342,251,026,479,848,392,190,886,010,251,118,866,
050,256,877,101,739,256,734,364,310,663,857,689,668,428,562,829,027,375,827,
142,852,159,436,857,070,891,921,232,982,931,462,424,825,023,011,964,424,822,
705,708,809,787,994,295,389,000,235,088,632,647,914,282,413,734,129,056,052,
699,346,565,174,293,728,905,707,121,985,523,154,812,614,482,564,175,968,645,
084,300,961,287,580,168,012,023,289,223,180,992,319,122,551,086,053,079,310,
923,807,331,916,389,462,612,773,717,420,214,587,510,586,263,818,318,179,574,
449,019,805,441,490,016,119,140,163,421,217,506,334,037,769,147,131,447,939,
324,799,150,351,208,952,146,285,743,483,480,639,296,081,836,552,116,685,618,
694,293,891,086,013,462,720,395,905,182,548,890,806,564,448,700,344,508,843,
947,979,079,691,141,782,600,689,887,234,867,462,189,525,603,477,848,496,477,
999,105,050,564,450,406,623,226,252,700,681,619,241,224,917,989,493,384,673,
249,820,610,160,891,393,387,492,359,949,386,849,164,654,597,550,182,287,601,
429,116,335,948,351,648,589,327,828,272,678,510,251,227,034,707,520,804,815,
345,649,435,536,708,922,810,183,210,322,629,192,548,967,840,631,120,771,554,
150,601,805,603,965,355,476,361,525,324,088,058,612,052,190,542,533,439,249,
093,327,457,305,281,291,575,150,639,642,357,706,843,501,016,915,374,402,492,
521,427,118,204,306,440,130,046,872,853,133,794,581,448,651,237,354,254,217,
923,480,828,933,452,818,759,039,895,510,799,735,443,506,319,653,670,378,917,
217,252,950,972,131,816,310,282,815,759,106,422,270,163,243,889,709,832,230,
627,286,755,810,633,869,928,090,381,391,359,359,705,925,515,632,818,155,700,
473,830,717,057,206,324,042,111,666,592,320,965,725,783,655,578,317,073,844,
446,679,534,426,605,488,778,909,289,871,349,723,894,078,364,319,198,785,864,
569,131,572,961,488,673,568,458,425,991,763,979,480,550,967,590,663,347,321,
443,419,980,684,363,586,304,191,810,060,419,292,588,974,972,003,564,081,955,
165,411,275,081,882,923,779,960,097,105,299,821,222,194,002,675,807,619,801,
953,274,759,084,007,939,302,744,819,223,785,900,216,874,667,321,405,170,025,
792,327,077,710,692,145,163,877,879,236,557,364,645,916,248,741,454,890,659,
006,775,889,552,816,480,099,230,497,801,150,187,437,323,722,977,429,064,009,
956,934,890,060,155,952,196,648,490,387,244,909,183,503,241,112,190,066,962,
416,938,032,948,446,670,973,581,171,842,145,868,735,268,054,662,328,419,088,
762,856,328,704,161,566,471,146,169,171,455,929,455,277,801,900,032,488,815,
374,161,237,748,771,195,225,318,565,702,359,083,757,493,381,154,383,688,718,
369,818,671,659,844,328,587,951,448,404,617,955,570,114,005,409,584,546,782,
204,344,157,757,278,810,132,402,148,144,635,968,801,550,008,081,588,994,120,
473,013,013,309,202,662,731,130,806,081,751,024,864,942,458,154,474,383,870,
031,084,139,778,549,324,732,871,075,950,001,236,830,023,629,943,253,409,242,
294,563,897,533,693,999,082,457,655,841,654,461,227,091,066,659,171,777,257,
082,627,461,869,988,878,804,848,975,485,305,583,770,951,952,746,535,719,903,
969,223,332,052,327,893,990,825,288,733,166,332,016,480,613,262,475,514,014,
376,436,676,976,388,446,696,088,082,134,214,209,841,535,891,529,389,980,991,
673,925,673,701,947,148,802,430,411,042,087,788,190,322,820,369,267,976,530,
399,325,216,261,056,656,754,130,177,949,972,074,715,250,736,700,180,601,120,
870,510,698,803,823,247,367,177,814,006,942,254,945,027,869,855,464,717,202,
967,405,100,600,353,253,682,700,041,633,515,908,807,993,388,780,966,453,704,
630,279,667,966,735,296,319,149,620,824,700,468,030,737,011,490,404,545,857,
215,292,919,174,639,190,049,410,024,383,805,704,561,954,404,606,179,723,448,
931,228,141,413,115,683,128,109,694,905,529,439,685,801,127,817,311,858,272,
943,176,283,102,637,725,514,809,929,174,998,308,464,373,969,073,333,829,605,
620,496,487,254,989,964,525,825,149,075,261,605,494,370,029,239,775,970,615,
474,506,456,876,372,661,347,400,422,613,105,797,435,365,772,615,907,334,433,
480,677,205,930,060,663,531,198,498,578,950,774,700,504,122,339,992,601,670,
983,393,909,321,118,408,282,958,461,430,872,994,030,738,814,597,130,588,324,
416,140,588,956,096,815,053,619,891,702,901,513,117,961,066,227,129,756,570,
293,641,187,515,464,065,967,019,983,474,088,771,518,684,907,674,306,755,962,
475,676,063,529,149,046,309,008,232,571,543,045,371,094,302,402,400,845,273,
300,348,616,549,167,870,925,112,434,890,531,711,510,428,277,184,269,326,217,
568,323,009,963,069,524,865,087,959,099,772,568,590,954,662,633,701,766,741,
572,105,684,318,677,008,034,265,369,161,296,427,251,982,555,441,321,104,149,
449,069,979,740,588,848,839,672,975,874,226,231,954,671,293,604,669,750,581,
192,350,269,897,173,785,565,392,395,381,838,612,935,170,121,154,135,338,395,
903,768,475,929,078,216,489,206,999,487,166,849,932,428,318,553,387,278,394,
939,501,298,036,314,461,770,889,293,467,638,024,658,546,491,669,255,158,211,
837,412,082,241,184,019,377,408,475,776,449,618,866,704,443,381,619,108,035,
696,251,704,126,728,910,755,344,013,565,575,538,896,236,944,324,033,890,227,
459,289,234,438,328,032,322,055,881,216,019,931,207,675,642,428,160,763,479,
070,442,550,345,688,092,396,690,678,687,956,568,764,777,328,705,671,234,303,
110,745,507,320,985,571,879,085,701,802,310,146,566,446,038,710,332,408,967,
777,870,790,743,250,965,453,085,942,354,563,962,876,696,441,388,120,269,748,
910,535,252,558,967,393,092,605,474,107,395,241,621,930,112,554,952,321,800,
227,085,502,728,062,274,186,579,483,336,162,936,101,463,351,034,118,462,690,
354,018,219,131,262,098,544,023,471,972,264,069,942,130,160,948,149,942,468,
853,439,186,825,356,769,950,696,227,094,727,674,065,440,066,121,670,147,248,
753,314,017,427,294,656,503,400,165,794,860,231,341,605,345,676,710,625,955,
510,807,521,888,361,482,786,929,823,404,280,527,093,333,320,095,208,099,637,
290,590,859,129,711,451,549,562,377,177,364,749,343,289,768,488,954,698,061,
429,811,379,357,276,115,906,959,488,554,058,877,001,784,081,375,080,431,057,
073,155,404,863,817,986,660,858,265,513,797,182,567,239,124,668,365,845,730,
942,780,311,604,795,730,274,626,671,325,475,790,625,590,276,824,503,100,906,
681,918,899,065,771,409,504,832,386,592,474,119,040,218,462,716,794,035,009,
705,974,160,536,503,838,093,310,446,829,851,993,854,787,121,197,630,603,014,
668,280,509,649,913,974,479,338,843,980,423,849,860,813,024,795,476,392,733,
918,624,957,523,421,529,707,887,248,370,041,028,823,338,339,099,512,074,403,
549,636,154,142,342,891,787,778,394,423,417,766,271,592,369,417,776,234,179,
810,210,021,687,912,284,676,907,612,724,824,573,258,821,593,719,878,638,184,
755,175,011,391,905,468,915,769,852,311,199,158,139,647,917,721,229,224,789,
068,933,330,155,940,985,396,437,239,515,100,820,840,354,468,454,938,270,679,
343,729,216,159,952,888,990,709,615,791,529,397,789,743,665,514,289,174,817,
854,440,946,593,776,225,567,841,289,342,568,260,339,566,710,059,079,913,303,
320,589,439,531,228,316,281,195,543,396,034,708,829,150,687,342,034,252,157,
075,784,832,400,247,740,452,147,124,560,847,779,680,753,599,626,067,734,692,
286,220,941,675,557,018,180,800,204,831,607,435,200,339,273,791,298,009,793,
319,670,336,249,436,209,423,931,784,404,001,499,878,947,583,673,382,839,179,
995,463,374,624,719,081,783,329,540,620,521,749,106,265,667,044,098,623,815,
842,458,718,245,525,394,537,308,003,773,350,300,799,861,226,558,874,967,990,
969,434,517,926,050,209,794,259,838,258,435,542,019,767,407,538,126,615,010,
853,032,461,272,041,139,761,109,339,359,150,586,553,613,500,947,528,050,640,
828,803,279,530,885,446,886,475,324,787,320,692,913,008,978,850,036,902,609,
630,650,107,683,488,309,384,600,780,469,896,353,455,506,276,473,839,164,298,
458,688,008,900,824,851,639,298,024,875,233,249,471,316,644,741,916,270,646,
548,260,400,714,048,018,445,852,064,166,188,629,973,297,641,821,750,899,858,
031,775,101,756,685,564,584,777,739,422,122,518,713,301,385,602,374,918,755,
495,236,989,068,772,664,503,391,264,427,882,036,274,068,841,141,220,382,088,
464,408,567,283,652,144,036,354,507,794,408,687,462,662,568,460,582,408,626,
097,936,231,047,851,614,838,095,335,294,965,145,125,785,373,489,955,144,779,
249,826,955,364,397,805,392,591,274,826,442,837,261,969,665,258,814,961,077,
943,698,351,125,166,339,791,644,925,130,877,773,430,268,082,850,917,225,007,
341,872,453,072,357,938,504,195,692,681,095,545,227,719,750,637,727,984,603,
338,069,406,604,054,819,990,069,595,379,274,930,658,008,488,815,648,815,943,
723,680,470,056,858,937,347,016,403,091,431,596,413,161,544,689,635,849,930,
270,712,918,506,124,016,623,476,432,535,663,737,671,831,193,081,435,573,833,
586,557,285,758,292,939,868,568,256,076,681,173,642,874,337,317,849,863,800,
162,642,851,349,420,996,147,479,124,616,092,962,957,741,231,177,497,549,927,
127,822,268,693,907,277,140,519,714,748,086,167,476,221,926,438,794,809,692,
570,709,856,674,766,316,998,069,957,351,580,089,175,889,245,956,772,678,519,
141,813,863,349,675,270,674,641,231,612,503,449,370,356,715,777,886,095,135,
720,760,984,575,321,289,636,362,802,419,641,458,684,341,867,291,544,061,576,
321,233,345,214,576,521,280,795,755,793,484,482,573,364,731,244,101,618,040,
384,037,736,519,436,940,073,115,062,829,757,324,296,208,722,202,126,409,813,
537,769,377,621,730,385,221,762,415,080,152,981,666,358,840,089,885,464,144,
537,973,241,131,340,200,680,956,548,219,248,233,778,651,568,348,062,872,299,
841,910,633,769,228,509,807,483,180,245,033,827,091,295,414,248,217,177,296,
250,746,843,555,801,998,722,988,141,126,091,820,021,171,316,501,639,717,183,
952,022,846,993,046,433,753,640,167,078,295,656,050,297,323,216,958,959,610,
281,826,562,451,468,002,704,633,038,474,018,111,140,476,736,025,959,504,063,
519,862,971,815,325,621,637,289,150,567,670,392,024,930,650,278,484,773,904,
767,778,152,471,002,460,389,881,805,711,227,599,697,605,083,464,122,258,818,
596,232,644,141,497,021,633,047,229,242,623,590,428,562,094,850,896,934,797,
990,131,964,719,018,050,774,740,485,697,515,153,215,334,154,369,687,318,206,
099,556,021,941,038,605,532,058,577,100,704,759,981,269,197,960,075,488,658,
105,403,270,297,113,696,759,603,695,418,426,818,520,869,594,846,407,789,322,
325,872,005,403,462,884,783,014,866,473,886,818,206,090,783,520,154,384,788,
173,563,436,816,715,488,584,843,038,727,140,133,275,585,845,924,022,440,853,
478,126,317,498,520,589,625,070,025,395,450,936,434,580,176,983,366,929,991,
419,750,770,830,524,506,933,651,207,066,814,811,777,538,118,910,333,782,938,
612,205,580,366,428,953,511,581,655,541,453,756,368,515,773,172,857,615,198,
483,524,644,009,747,421,676,306,987,844,679,027,586,234,315,990,127,227,972,
582,205,076,542,194,191,099,468,553,600,607,591,199,561,889,940,541,015,197,
769,508,784,243,478,114,914,788,583,349,476,624,064,915,931,185,269,668,682,
008,524,327,667,964,047,011,880,058,327,694,397,765,827,991,248,798,797,170,
101,198,017,076,450,742,249,665,327,718,387,680,482,993,214,509,599,775,714,
082,292,731,491,799,480,476,680,510,988,613,209,917,126,738,677,066,667,984,
705,590,317,467,584,449,573,030,346,096,817,500,317,116,013,202,594,895,655,
430,618,469,649,428,282,171,123,428,492,650,826,700,796,470,523,044,833,581,
037,221,696,242,185,840,487,886,662,973,149,348,955,083,833,151,375,474,859,
658,101,334,316,633,305,216,386,279,256,715,346,291,654,320,241,536,949,024,
174,223,157,819,165,771,955,271,254,323,946,734,905,790,254,271,489,151,506,
757,015,523,638,134,258,739,038,546,187,524,987,983,531,995,722,304,041,758,
703,429,861,532,007,036,992,809,517,294,357,496,209,831,319,878,183,016,419,
881,208,447,945,235,066,885,678,762,688,913,023,805,958,840,227,873,321,791,
789,886,530,995,639,263,551,867,622,772,364,539,665,268,168,405,620,490,655,
200,769,365,121,774,941,916,480,339,060,976,407,737,171,422,511,184,737,401,
137,178,277,539,812,049,093,158,506,955,254,668,312,427,460,663,379,843,487,
933,045,921,723,060,664,728,941,748,833,762,863,697,695,812,274,969,554,392,
153,308,161,658,206,689,766,044,356,680,433,973,869,664,007,186,380,093,568,
328,233,823,775,157,617,609,699,012,111,789,862,002,654,452,249,786,754,130,
827,019,523,651,882,336,122,403,726,815,458,195,475,703,014,022,177,078,431,
596,113,906,965,710,499,481,168,627,192,578,667,492,818,860,667,066,964,099,
031,020,899,606,384,460,563,627,402,263,812,218,002,702,129,608,537,901,929,
371,259,065,754,532,016,736,062,518,815,749,126,185,830,391,769,347,003,302,
086,282,390,724,895,333,446,392,976,574,043,921,287,160,762,432,125,232,316,
388,495,747,649,184,888,786,090,294,680,589,390,044,298,998,587,967,214,492,
510,597,968,714,157,814,976,386,389,172,540,158,198,101,547,309,919,800,125,
850,892,243,325,047,781,913,203,565,121,602,536,275,729,718,492,768,297,167,
768,319,349,471,927,230,736,451,294,058,438,501,077,918,073,826,460,295,656,
950,717,877,935,203,857,550,206,140,202,286,726,011,010,349,001,780,342,974,
319,989,504,797,012,441,202,850,171,467,137,652,307,790,839,152,871,915,281,
726,075,096,347,756,702,085,332,578,869,591,189,781,765,963,211,812,913,592,
329,186,070,782,024,138,027,869,540,315,264,150,449,318,171,990,938,243,964,
866,728,122,821,349,802,797,408,147,067,403,913,112,484,710,362,642,943,163,
925,886,371,874,669,961,725,702,031,842,728,305,333,778,110,462,779,359,244,
853,943,115,787,653,392,050,220,447,568,818,789,323,783,086,652,400,891,694,
446,129,746,497,270,058,675,920,638,281,539,697,485,919,789,093,067,668,091,
276,630,391,644,609,459,637,227,246,563,182,322,360,739,818,913,407,665,168,
009,595,211,371,813,940,272,170,611,466,758,002,246,010,068,009,020,942,733,
433,797,524,905,873,391,323,636,017,019,065,019,885,874,965,628,993,923,182,
999,849,492,958,654,534,511,683,611,774,644,122,051,943,816,380,062,901,508,
331,018,464,571,290,063,941,638,939,231,509,032,398,999,005,335,595,447,571,
589,871,396,710,748,794,525,460,038,608,986,790,635,406,986,927,873,814,767,
646,684,533,391,533,917,012,291,970,392,735,663,477,977,223,577,677,823,336,
738,830,654,794,252,868,694,293,174,220,627,710,247,752,704,486,551,375,253,
546,570,569,276,064,890,954,846,496,002,633,827,891,728,381,505,153,964,272,
018,435,276,261,968,612,727,353,950,354,858,498,698,388,917,756,114,677,327,
680,921,578,194,869,129,744,913,071,798,080,894,927,742,676,715,695,970,682,
076,569,826,870,821,052,616,403,933,511,659,018,405,633,218,108,472,454,892,
814,633,700,137,275,955,155,455,295,528,253,012,617,295,153,812,340,124,136,
575,659,355,585,074,942,477,153,423,987,464,111,801,362,310,801,351,506,306,
693,663,466,136,932,407,980,705,743,690,234,947,508,279,941,262,623,149,305,
645,098,512,799,537,907,179,405,480,749,148,201,076,280,634,715,321,164,172,
160,372,088,947,661,654,212,169,390,160,113,433,030,781,341,996,295,949,253,
790,158,954,488,851,900,299,186,773,471,199,423,272,781,578,399,279,548,317,
595,805,449,228,654,867,216,657,812,363,170,467,216,338,633,583,186,269,847,
802,218,587,476,436,628,451,219,664,072,188,124,012,298,189,578,551,875,134,
895,888,999,778,832,066,292,656,807,536,447,426,259,906,608,099,598,824,614,
630,674,921,133,394,778,138,139,066,023,254,518,601,819,881,561,328,231,519,
345,446,367,029,252,797,020,724,002,584,865,250,772,524,308,940,179,060,588,
207,336,882,944,660,460,122,792,524,168,135,090,939,605,679,135,374,594,044,
899,633,572,993,330,932,563,668,991,589,640,562,923,659,092,056,122,265,904,
374,906,052,727,105,132,135,970,175,222,880,512,060,483,594,771,211,708,668,
822,104,888,622,444,625,950,775,392,814,571,353,609,034,538,722,563,205,999,
361,158,543,029,293,762,268,690,022,200,332,579,399,068,590,482,005,101,645,
143,565,316,370,799,707,726,626,988,420,684,714,884,518,756,999,805,018,358,
513,152,669,972,526,716,853,176,118,585,177,733,758,322,687,584,860,012,512,
715,235,434,605,204,931,257,391,429,595,879,115,985,435,135,345,738,148,905,
830,313,961,550,739,261,894,868,905,887,982,420,250,737,822,259,396,298,226,
128,094,304,571,248,063,389,914,497,132,546,653,636,428,959,211,029,390,539,
899,031,453,547,309,484,446,657,010,149,595,153,549,242,926,342,217,037,178,
361,259,302,957,436,541,940,580,564,005,366,315,822,997,576,270,193,057,149,
846,401,261,782,282,173,485,339,692,190,874,713,527,663,709,353,438,520,635,
480,558,981,729,581,269,262,864,137,675,082,669,871,448,362,772,319,406,579,
706,457,846,016,285,144,644,580,846,876,331,169,453,152,866,765,227,153,955,
359,697,469,159,589,896,397,846,219,996,482,262,107,132,825,005,853,625,189,
623,126,197,456,839,322,861,940,860,007,170,361,628,908,297,999,751,607,524,
754,292,572,993,250,617,683,456,212,253,147,080,698,598,474,926,917,812,933,
209,695,036,277,854,285,946,145,362,451,028,309,060,831,385,640,466,678,043,
918,099,247,374,859,851,380,890,095,075,420,118,937,291,052,662,700,383,289,
549,944,362,057,199,055,808,271,966,059,566,524,785,588,714,233,307,196,725,
248,166,982,500,826,292,183,448,297,150,220,478,121,741,311,493,383,019,230,
971,989,852,482,668,361,401,152,511,824,967,230,686,790,873,641,459,953,503,
175,873,234,259,842,357,741,909,557,743,651,201,897,349,599,934,898,886,269,
782,608,374,573,254,372,497,738,250,422,526,718,585,271,883,999,587,304,038,
175,196,161,758,979,680,727,835,862,999,910,856,075,145,996,207,205,893,880,
630,987,361,436,668,266,628,273,005,366,162,526,824,419,136,349,560,250,964,
073,016,668,888,001,888,423,475,171,493,576,095,727,467,503,265,046,950,780,
289,247,799,963,888,078,025,886,219,044,135,606,127,076,949,809,479,018,683,
098,825,251,628,631,997,054,494,855,999,564,725,057,286,879,697,661,739,590,
790,715,048,807,601,111,976,880,795,507,785,880,231,585,469,959,517,752,690,
598,748,636,810,215,350,568,426,644,999,989,681,997,283,440,129,115,146,543,
738,612,645,231,656,124,858,610,792,491,856,916,022,285,208,897,186,988,797,
158,974,891,385,335,274,461,020,928,538,955,319,818,178,524,328,674,182,801,
565,598,550,582,682,417,137,501,807,749,961,089,399,050,545,339,426,846,367,
885,947,367,795,223,064,739,938,159,844,448,672,919,935,292,310,322,530,412,
029,272,907,561,840,453,547,527,317,375,514,153,356,472,054,424,805,555,978,
328,631,454,799,379,859,026,540,968,641,828,183,175,445,145,011,061,111,171,
184,966,347,707,740,396,176,066,430,394,084,221,228,738,816,061,835,892,581,
672,300,070,266,879,914,715,794,462,583,947,850,226,652,667,259,627,610,349,
449,393,259,211,890,604,381,377,882,612,348,703,398,329,739,433,996,024,973,
282,947,095,927,616,590,793,208,883,599,128,628,163,342,399,165,246,539,390,
493,155,110,825,219,714,193,366,403,957,422,482,412,205,209,056,784,782,552,
890,097,562,184,947,584,297,154,062,702,046,888,027,840,759,978,458,053,082,
777,176,248,345,229,796,635,901,453,872,635,257,955,500,746,359,024,404,082,
091,647,406,508,959,848,135,288,736,194,583,761,142,369,606,501,409,830,464,
737,153,761,876,721,135,006,166,648,174,238,680,260,646,021,666,291,374,978,
360,900,251,868,032,360,851,324,240,642,901,040,589,143,345,154,811,775,266,
136,769,166,839,605,530,776,359,729,803,071,802,982,624,875,553,517,395,104,
641,660,823,112,252,135,283,597,745,104,548,202,060,803,821,832,652,075,963,
728,644,854,010,529,678,074,590,359,076,515,828,050,306,816,991,465,249,521,
833,366,781,158,670,158,675,667,963,940,792,156,463,078,211,010,917,439,512,
990,504,395,958,935,829,045,425,075,254,778,648,888,058,566,076,649,040,428,
522,346,987,327,663,329,528,485,476,522,680,621,111,147,847,699,577,279,362,
006,065,681,545,101,882,414,163,859,323,320,765,503,004,140,739,479,128,907,
410,535,574,344,442,360,392,546,013,767,724,489,427,434,561,563,174,797,722,
640,948,581,176,627,188,595,397,243,154,013,234,442,815,479,966,181,204,249,
330,040,418,397,240,758,020,660,802,101,386,356,867,392,505,696,216,522,097,
388,412,006,837,020,436,965,063,074,903,418,199,936,541,843,156,383,604,010,
862,614,018,615,846,552,900,292,009,777,283,933,347,093,425,708,523,381,031,
082,700,066,286,197,684,904,934,483,306,526,822,208,190,941,259,610,234,725,
945,225,655,211,513,235,603,748,990,511,359,281,660,569,869,550,007,767,942,
100,958,979,306,412,583,007,799,042,515,099,429,143,881,792,844,369,012,745,
211,673,284,517,021,989,799,275,438,868,738,799,867,529,571,195,892,034,902,
584,133,302,755,028,120,237,906,877,589,818,610,397,860,170,074,974,433,593,
923,372,082,918,090,534,845,540,388,990,457,330,992,099,787,360,891,190,876,
191,079,167,472,870,144,460,012,894,164,784,817,506,481,988,968,411,471,678,
937,902,057,239,163,590,198,094,639,122,350,616,101,763,082,850,721,888,440,
142,590,115,677,797,252,826,479,934,514,825,646,420,785,718,681,204,773,110,
216,850,623,165,420,330,184,981,414,924,550,911,207,141,707,527,902,894,291,
492,040,246,096,069,384,524,838,948,402,227,516,750,595,994,220,467,816,463,
942,181,394,513,645,440,706,643,582,950,255,629,484,163,887,129,248,642,898,
312,977,850,649,610,560,389,317,591,873,775,034,473,080,686,302,274,860,454,
199,935,161,663,386,780,541,929,187,040,734,139,894,732,443,952,527,481,625,
328,384,704,953,178,822,500,038,047,955,548,578,472,502,425,525,879,657,760,
749,358,498,967,378,922,996,446,650,448,822,083,951,584,179,425,568,797,486,
354,384,988,064,642,908,495,713,630,971,827,839,340,318,643,439,868,570,377,
870,768,928,100,253,645,847,324,477,234,324,952,802,076,776,306,602,751,689,
975,695,025,247,714,273,717,866,931,521,381,435,401,076,795,250,023,563,573,
844,273,691,983,828,563,484,415,738,984,550,153,148,216,179,884,379,634,627,
002,241,778,970,696,217,251,556,340,664,906,307,330,878,445,312,214,938,291,
996,999,890,618,289,373,182,034,818,137,134,370,296,655,415,991,163,585,322,
227,827,480,393,923,764,683,511,575,131,297,962,054,511,028,789,355,760,210,
359,662,980,094,054,865,109,491,786,771,755,882,823,591,600,757,639,490,081,
098,523,614,684,191,086,774,965,758,971,166,403,916,501,220,327,563,481,699,
287,024,884,182,500,968,378,755,767,815,457,424,703,257,428,541,497,616,525,
707,917,548,516,159,278,695,441,312,840,513,172,911,112,150,420,726,735,291,
005,233,367,518,127,320,106,133,926,300,131,215,715,426,838,374,400,280,001,
587,187,788,180,289,110,708,870,466,637,536,905,801,323,528,683,877,508,368,
302,836,880,442,408,673,775,196,694,064,118,054,372,786,544,338,709,664,620,
459,213,383,552,918,445,637,093,062,362,008,432,995,383,817,860,103,008,250,
948,041,193,397,375,789,586,453,759,433,822,225,431,391,930,584,549,849,578,
290,648,256,556,539,919,020,313,426,580,265,988,199,733,200,668,172,837,272,
691,663,837,208,892,291,066,620,934,480,812,410,088,502,627,600,730,671,140,
194,810,729,565,755,815,814,543,857,610,755,559,608,547,917,298,383,369,342,
075,471,451,344,357,088,662,980,296,951,180,705,015,304,323,919,802,638,003,
313,139,831,089,334,664,989,272,169,178,602,017,858,839,852,012,196,597,722,
226,235,879,254,689,194,915,801,287,782,838,010,509,850,617,346,959,469,447,
810,600,122,031,788,998,100,258,481,581,099,543,590,032,083,454,636,228,859,
413,674,784,341,126,389,686,179,563,144,955,582,553,125,335,764,339,445,822,
292,987,683,925,391,333,852,879,695,262,096,533,425,378,159,312,875,635,394,
890,195,395,078,561,781,435,505,517,416,220,264,345,166,287,075,249,027,677,
750,469,021,216,809,877,742,426,574,566,054,352,052,479,751,032,743,486,320,
333,203,216,898,731,129,017,825,815,837,659,483,852,244,318,413,651,299,858,
745,075,078,563,030,721,140,142,583,201,626,755,158,609,370,491,395,688,803,
560,216,998,163,510,652,660,822,074,618,612,305,527,078,974,348,178,563,965,
974,157,096,851,553,393,119,754,784,405,028,486,119,718,492,339,853,098,250,
210,884,618,294,592,937,053,809,065,103,274,198,431,815,264,394,971,796,203,
931,939,232,145,400,992,076,281,191,285,988,632,474,188,597,089,513,564,449,
576,323,977,114,654,272,822,294,695,792,252,042,162,669,769,854,468,183,963,
541,687,912,048,982,431,393,408,856,274,465,842,171,769,941,794,705,127,636,
333,566,518,835,437,740,860,656,857,977,209,607,768,744,566,598,221,618,016,
578,737,618,091,762,234,221,813,408,532,906,692,904,044,567,331,023,794,443,
064,028,917,179,935,310,132,457,967,227,092,167,655,801,396,008,806,685,961,
652,889,014,253,864,528,041,426,688,436,718,210,098,344,375,064,292,588,257,
280,145,579,540,850,757,103,705,298,721,405,061,229,335,483,876,281,984,934,
394,132,366,601,435,590,888,054,321,956,979,156,073,832,874,282,911,019,094,
624,846,804,699,789,337,515,338,966,875,739,634,508,348,846,770,424,192,291,
251,407,754,595,903,797,255,840,477,071,662,444,941,255,457,291,842,123,545,
853,418,032,075,171,697,059,826,021,367,232,748,583,899,478,157,213,027,204,
683,301,572,731,611,651,209,128,106,638,098,032,485,527,041,433,994,008,682,
800,691,097,797,752,687,302,971,033,017,338,133,490,108,797,192,620,690,855,
427,956,344,424,927,506,433,227,411,647,981,793,812,665,704,734,265,439,700,
882,596,723,529,191,595,127,021,947,579,863,716,460,259,321,799,233,057,509,
240,936,380,506,571,732,439,837,269,675,452,144,776,906,498,136,020,107,583,
714,056,523,068,515,648,394,408,937,237,141,191,223,191,562,768,879,355,138,
683,640,532,444,769,221,013,336,298,286,612,092,111,408,546,433,242,014,324,
685,131,005,632,401,096,520,534,398,371,380,080,738,360,757,265,542,139,259,
052,654,308,777,893,362,034,984,349,388,822,961,091,099,932,182,288,566,089,
725,203,196,468,821,584,696,451,690,009,722,507,130,213,068,936,887,484,636,
982,549,484,214,836,698,569,631,281,526,835,411,999,100,980,392,479,510,873,
247,591,174,770,864,322,040,220,918,244,475,412,673,665,118,155,566,753,921,
870,634,672,312,139,829,573,364,793,404,165,822,163,164,040,443,706,414,381,
525,122,319,889,205,707,631,493,012,227,299,482,240,631,901,864,859,730,407,
568,146,321,013,215,605,444,389,600,736,020,927,168,418,072,552,952,234,964,
001,935,002,673,410,893,092,496,972,223,424,859,825,654,607,052,319,127,654,
661,830,472,575,917,010,555,904,282,638,036,416,433,758,876,667,558,147,967,
549,758,952,061,906,167,462,725,183,052,995,345,830,253,271,963,493,278,188,
098,500,534,506,709,198,580,906,903,619,125,767,510,426,098,451,541,508,081,
610,144,072,959,367,520,399,204,995,182,500,231,013,281,924,190,022,961,870,
914,158,804,883,703,974,476,340,255,941,891,834,260,194,205,424,897,686,573,
431,376,840,774,328,693,405,424,656,910,000,089,301,323,484,703,495,619,080,
112,228,657,160,627,344,631,049,792,883,038,538,279,102,590,261,669,976,216,
158,077,787,929,159,271,344,707,640,097,735,051,209,712,064,598,801,518,593,
230,531,214,776,377,383,307,233,424,690,261,258,277,610,306,593,926,225,271,
792,894,215,798,936,909,573,225,845,294,675,320,956,506,795,295,475,997,185,
520,067,728,162,173,926,212,745,943,730,790,080,449,943,503,833,792,749,355,
153,580,646,411,584,230,412,943,410,835,984,968,648,709,040,053,829,721,700,
388,361,120,273,143,435,959,124,333,493,963,371,474,907,808,361,946,803,738,
727,934,718,699,946,095,060,622,592,930,098,605,654,335,001,108,233,572,589,
054,070,360,150,240,375,647,426,740,838,258,177,073,945,255,984,392,238,478,
347,476,809,310,130,386,867,225,144,656,702,935,097,350,652,433,702,223,586,
916,472,026,783,321,246,503,215,821,034,050,544,521,452,582,694,337,595,048,
570,439,078,357,183,776,988,628,289,839,870,167,669,031,983,031,214,124,419,
118,052,663,498,401,195,576,703,676,060,609,023,335,182,460,036,507,484,461,
277,613,792,297,689,972,233,365,814,327,368,891,681,678,927,226,765,939,538,
591,957,085,415,316,170,641,354,215,690,008,410,358,549,113,256,799,263,748,
807,896,258,600,378,664,143,600,128,703,388,695,141,355,905,903,168,698,129,
508,094,011,443,792,190,468,749,587,156,223,351,731,755,643,611,664,996,902,
348,664,095,233,533,906,810,566,501,849,128,348,760,182,539,392,691,722,252,
216,909,099,125,936,895,491,757,691,505,410,264,513,467,122,313,312,245,102,
969,104,367,504,065,511,449,766,942,133,247,129,826,025,282,302,032,902,871,
241,722,671,499,618,895,784,361,090,067,215,002,151,023,000,079,454,437,673,
216,196,416,425,905,692,695,900,017,995,358,846,183,394,750,271,405,377,591,
585,993,272,161,061,427,956,003,874,224,300,875,404,695,235,633,731,107,037,
769,141,760,653,693,350,205,560,955,742,365,481,929,889,390,584,058,848,172,
654,004,061,559,920,080,441,010,070,203,851,125,852,137,008,404,370,197,533,
046,744,743,457,328,184,640,487,277,770,511,102,598,143,340,634,144,472,820,
399,620,933,590,603,644,040,192,325,342,905,631,649,194,140,490,026,631,455,
087,513,584,442,684,056,355,350,805,805,518,783,285,135,914,532,964,830,109,
526,632,650,872,188,758,556,354,427,264,955,882,425,581,776,655,875,834,088,
917,134,414,912,685,956,807,062,860,507,546,202,551,166,588,313,664,294,574,
272,469,430,379,529,189,546,572,161,089,721,012,193,749,199,529,685,440,739,
646,947,758,722,973,101,612,784,450,161,473,912,441,438,259,661,117,873,878,
481,068,698,413,136,416,617,505,480,633,277,574,404,449,828,400,076,269,455,
818,766,160,223,544,337,996,697,583,251,340,541,328,835,710,925,677,041,525,
538,037,406,901,235,257,697,034,819,305,416,039,664,373,848,939,568,446,039,
037,179,930,424,083,031,890,001,178,360,583,214,397,825,057,730,322,129,288,
221,387,096,679,072,298,707,404,790,049,971,156,497,461,881,968,771,260,234,
709,575,386,699,087,304,776,099,638,486,219,986,544,992,173,039,080,152,828,
566,869,379,027,809,002,760,614,888,984,930,604,682,867,692,705,892,802,182,
606,500,257,973,816,239,746,564,908,788,814,355,324,633,844,792,838,403,245,
426,065,792,687,047,216,247,345,141,992,269,649,019,346,842,274,982,997,282,
695,346,887,492,065,153,246,029,499,937,619,107,175,839,726,805,161,637,528,
401,486,566,734,644,221,999,810,516,494,921,553,845,884,959,464,564,074,570,
440,437,637,549,597,282,604,618,816,950,092,131,487,204,371,268,232,574,416,
732,615,708,662,278,335,514,160,054,888,444,860,552,432,909,261,904,931,811,
571,326,797,643,222,691,854,791,002,349,607,632,099,651,035,970,936,663,251,
811,040,227,249,402,500,125,405,464,380,128,632,951,450,099,422,759,590,474,
229,044,188,179,117,633,163,441,681,623,456,531,792,766,756,265,445,434,404,
068,892,664,696,075,386,678,983,794,574,213,298,832,037,284,197,667,459,106,
119,542,371,614,071,369,120,842,900,601,631,458,932,958,029,486,816,207,621,
031,133,792,196,948,046,985,958,302,524,337,706,682,131,022,752,345,045,305,
125,399,305,772,603,141,620,948,327,033,877,926,373,643,726,152,647,232,158,
018,296,266,247,731,743,569,742,368,416,280,754,194,973,433,422,835,114,181,
314,253,475,980,094,275,734,526,787,325,797,745,916,222,471,147,059,917,282,
454,847,185,598,115,036,864,876,522,735,058,979,142,386,602,641,729,318,511,
826,887,871,168,484,675,353,214,206,123,198,164,004,725,850,083,048,137,418,
611,779,831,948,232,533,048,975,289,123,058,971,433,869,011,214,289,137,841,
848,625,808,194,568,826,317,250,599,293,489,443,406,153,760,331,979,120,123,
034,022,049,928,606,751,178,991,383,529,614,712,221,415,616,062,455,342,573,
140,815,693,760,597,027,325,227,228,571,819,581,276,333,637,164,640,560,762,
453,545,241,282,524,193,435,857,357,320,872,113,785,425,707,194,934,906,060,
094,522,032,368,674,462,378,413,891,712,692,269,901,859,461,715,774,911,371,
362,425,938,506,416,964,297,497,424,225,928,738,759,947,474,398,448,209,984,
632,806,248,815,583,839,978,671,608,766,172,150,182,864,282,184,156,574,538,
426,452,439,716,100,909,855,976,098,606,270,200,129,966,108,699,487,560,027,
113,611,997,588,663,276,579,530,526,254,352,321,380,745,930,346,260,468,228,
494,581,916,550,773,365,140,514,336,380,459,346,494,935,471,099,773,033,494,
302,259,665,297,471,112,113,835,515,902,171,279,780,132,607,618,256,467,521,
893,611,720,546,638,610,109,435,946,380,428,833,400,910,050,223,441,841,840,
340,130,452,393,733,159,637,982,481,353,870,597,498,059,386,414,104,118,141,
620,711,708,209,188,385,483,696,383,369,319,110,021,282,363,644,676,946,998,
972,641,983,177,916,764,566,176,135,155,277,381,106,507,673,288,226,499,099,
998,143,366,020,622,167,209,494,557,616,197,998,046,658,221,660,849,813,699,
501,009,990,760,380,550,764,365,434,326,189,299,446,735,345,271,834,109,707,
036,509,106,296,951,651,003,498,205,004,512,931,494,458,142,785,684,326,542,
379,551,739,686,567,929,012,202,657,919,916,856,976,465,133,407,858,452,275,
609,275,583,408,216,861,446,196,634,203,517,151,705,357,303,240,573,650,849,
620,836,315,727,681,424,882,607,217,684,742,096,396,966,763,966,317,528,536,
369,072,267,827,123,176,847,074,332,925,640,771,230,505,871,825,897,740,297,
599,213,467,846,103,419,608,552,753,082,219,617,130,991,654,605,341,238,232,
597,017,420,868,834,133,023,172,678,992,932,085,401,805,143,414,004,693,286,
012,553,984,538,328,082,351,442,607,406,431,746,609,775,559,005,441,436,702,
709,815,973,225,870,671,682,205,223,232,519,444,473,450,235,749,382,048,813,
626,505,067,755,579,165,160,149,441,298,438,274,545,764,256,098,809,575,501,
395,565,285,296,482,642,848,576,144,857,161,129,438,022,227,368,975,796,622,
771,650,387,642,426,762,984,800,877,186,340,992,246,422,054,707,831,219,821,
233,047,910,529,638,492,546,017,781,290,536,215,085,348,192,218,468,199,263,
461,750,321,509,476,490,531,193,667,811,277,902,999,880,105,073,679,288,471,
069,328,071,985,213,792,683,087,442,462,703,775,315,588,243,369,247,920,955,
671,617,901,737,677,259,176,628,341,425,072,702,556,810,735,317,194,008,388,
019,620,358,893,243,033,515,836,199,119,414,868,951,894,715,104,696,195,888,
026,937,787,740,445,025,004,104,156,384,388,538,398,676,693,471,712,151,434,
781,914,848,937,351,271,065,034,638,702,161,942,424,602,243,247,202,608,464,
591,700,187,851,262,414,096,486,843,742,858,761,643,413,072,066,058,116,464,
388,422,279,251,979,852,515,894,859,985,684,491,719,685,977,029,197,249,723,
572,408,768,994,457,729,144,392,358,414,424,556,882,883,502,867,466,668,021,
537,228,727,527,168,004,344,309,439,854,599,896,104,039,659,011,411,080,550,
442,396,939,218,325,907,832,398,068,811,589,145,377,279,863,904,649,144,913,
393,166,213,228,781,925,213,262,038,836,115,178,454,618,530,596,837,146,400,
880,906,224,306,921,218,961,491,682,054,001,913,854,526,724,744,818,699,368,
423,766,119,243,567,021,423,972,933,785,803,476,498,167,632,166,477,380,613,
211,057,531,040,227,168,175,749,027,329,820,631,653,780,664,032,863,162,942,
136,534,294,417,152,796,570,995,545,193,681,865,246,680,969,895,183,892,936,
009,727,269,560,775,660,304,798,728,533,917,105,979,588,799,342,379,324,543,
959,325,819,690,503,447,458,727,004,043,334,354,071,378,309,811,462,234,292,
768,556,030,398,884,467,225,568,613,076,404,709,880,792,056,053,792,554,202,
122,525,671,957,324,394,158,363,119,501,328,097,547,287,493,141,017,950,456,
840,539,909,082,403,458,216,676,484,746,915,540,809,166,706,523,509,487,041,
247,515,940,160,054,118,476,883,395,520,376,183,654,665,847,015,228,105,161,
291,894,677,499,787,299,555,080,106,761,788,132,432,041,785,480,245,175,651,
996,273,225,337,072,122,159,371,742,189,097,275,806,158,231,852,760,828,528,
323,896,605,301,316,392,567,469,459,086,330,173,072,840,076,322,690,372,891,
436,989,321,659,713,610,860,108,390,502,112,870,753,398,434,363,991,569,113,
472,738,953,887,207,295,023,526,981,829,376,727,662,873,177,838,753,491,683,
749,941,616,895,321,048,438,004,622,185,048,132,598,774,906,571,565,312,402,
845,997,502,190,819,843,626,206,094,321,464,154,552,362,381,902,190,888,558,
760,821,736,774,925,127,290,859,878,158,299,081,456,162,413,289,933,030,143,
328,332,220,436,265,567,768,042,184,240,616,041,590,674,854,324,536,372,330,
215,055,805,885,032,621,512,415,004,507,158,297,506,353,095,643,429,929,536,
647,714,762,101,880,263,708,257,295,859,529,103,570,347,745,236,947,300,070,
045,525,013,272,024,326,665,479,109,465,592,862,219,530,745,029,043,246,557,
344,801,673,292,507,505,525,212,086,828,740,558,970,576,178,389,401,481,071,
020,081,301,559,235,719,274,640,287,979,690,110,487,142,363,924,698,264,280,
025,000,726,982,244,159,356,005,932,922,269,210,527,765,195,635,203,096,342,
541,951,538,173,417,766,859,336,740,690,378,541,717,618,514,734,201,297,954,
142,308,610,782,172,660,043,811,227,333,487,178,236,616,907,107,639,962,267,
121,853,434,549,422,670,275,918,302,480,707,247,037,670,046,657,390,164,271,
881,231,315,345,322,913,534,164,187,783,639,593,231,242,638,750,176,025,294,
024,207,099,628,376,699,724,374,391,647,212,018,877,058,758,444,884,195,540,
568,548,279,827,168,447,705,418,271,381,464,258,878,976,660,341,472,827,661,
011,986,473,697,322,638,258,286,370,298,258,531,918,980,957,589,478,363,517,
622,166,179,056,555,245,603,102,027,265,147,950,467,864,785,678,946,427,148,
649,347,874,736,505,447,021,260,164,850,995,663,127,805,357,063,160,616,488,
104,280,227,941,287,609,256,474,945,356,844,129,665,052,493,683,302,448,471,
750,399,271,183,455,631,872,780,614,943,269,505,263,631,039,927,113,465,647,
798,320,230,972,768,555,161,365,524,348,672,817,985,627,564,119,837,067,418,
368,330,907,190,599,375,781,530,513,601,844,482,958,457,106,737,030,308,854,
181,509,627,488,471,775,365,554,567,318,596,408,456,007,406,384,213,442,257,
576,481,367,546,842,738,882,432,991,670,303,100,597,815,800,641,407,316,292,
814,738,569,185,963,646,924,875,762,570,021,113,045,106,929,906,421,745,128,
886,869,339,686,668,638,150,019,957,404,413,665,637,226,939,604,905,640,161,
284,029,095,049,247,481,494,729,253,875,550,201,920,800,986,945,989,917,265,
171,534,845,437,534,824,999,555,665,682,203,470,933,445,524,520,804,928,969,
198,593,353,444,655,466,068,797,756,517,755,005,481,343,858,010,453,778,526,
225,229,733,361,171,711,360,414,516,476,175,442,770,409,344,563,928,782,718,
186,882,080,787,208,162,662,187,505,850,018,314,993,425,857,545,737,988,633,
610,706,590,377,078,537,857,152,366,252,333,227,058,929,548,442,905,872,885,
986,245,544,614,746,791,258,036,302,689,226,280,252,541,818,070,758,497,111,
243,452,020,367,534,842,879,107,143,964,035,849,655,805,092,949,037,361,642,
205,976,747,152,764,561,486,656,875,353,349,025,446,050,381,576,346,105,355,
886,235,740,198,297,380,322,525,448,080,963,645,023,057,938,758,181,047,509,
253,595,005,698,683,842,931,684,134,404,880,832,855,770,557,758,116,113,719,
317,335,544,386,005,905,887,419,647,542,730,090,635,488,140,067,522,853,712,
363,820,953,085,817,047,567,124,915,528,531,544,832,761,831,779,283,485,269,
035,267,556,611,753,127,629,873,099,475,275,104,518,109,887,615,502,657,995,
744,254,339,602,636,174,736,212,237,330,617,749,973,536,208,251,902,169,184,
331,061,409,123,472,140,630,791,023,230,931,901,633,577,544,951,248,361,602,
247,560,033,258,213,841,178,280,704,191,344,653,451,041,872,791,998,110,878,
247,969,455,708,377,924,556,457,103,309,109,388,827,971,734,258,340,029,411,
066,951,178,623,901,111,047,084,776,446,654,631,834,812,721,181,943,814,892,
563,152,718,640,901,971,499,477,328,715,168,476,882,285,900,086,246,445,878,
622,563,879,190,170,808,617,700,581,793,408,012,826,239,602,855,669,690,708,
771,280,929,206,156,803,925,213,941,104,596,853,629,487,893,381,466,838,987,
852,169,022,728,666,840,482,615,946,858,719,013,185,356,099,420,499,554,823,
709,486,489,957,185,830,772,471,633,235,868,650,613,827,599,914,356,213,546,
346,835,720,641,760,294,145,096,386,827,420,955,996,622,661,768,496,230,080,
211,198,478,015,049,423,417,850,026,249,583,784,370,267,008,657,669,375,492,
780,363,639,091,726,207,782,099,162,247,871,426,583,277,723,930,335,783,269,
060,120,178,891,566,726,519,898,241,570,194,293,040,863,246,374,907,410,211,
065,267,249,542,454,086,058,158,159,992,748,519,527,908,328,079,339,429,314,
791,580,770,185,466,580,834,945,338,116,320,463,100,209,620,910,457,951,561,
548,893,044,948,562,111,616,146,246,520,599,868,675,378,554,371,087,954,513,
453,970,288,580,351,357,859,303,332,644,590,776,990,696,976,728,280,194,283,
752,249,880,036,825,260,314,284,216,514,517,224,666,965,939,574,931,075,723,
550,133,084,500,980,208,921,546,688,598,810,443,505,028,991,330,481,944,838,
294,977,305,984,979,678,118,601,661,693,456,612,599,790,840,752,106,930,751,
049,730,927,756,182,726,204,999,189,216,679,356,804,503,758,421,913,156,532,
542,875,930,611,937,081,685,747,271,145,778,427,639,438,370,260,098,178,343,
539,655,913,146,800,677,835,496,187,863,438,767,756,515,696,522,548,953,933,
923,655,425,310,936,615,574,935,087,598,652,873,429,164,447,369,147,083,868,
599,148,874,429,434,111,678,570,260,895,962,079,045,873,651,542,095,024,363,
908,660,723,657,859,310,171,451,029,229,831,267,227,829,675,017,213,731,047,
920,482,760,311,050,396,960,205,230,095,827,332,314,681,758,310,762,207,630,
621,909,884,717,675,106,637,159,058,892,991,998,690,415,615,319,475,238,482,
932,535,820,226,713,313,625,833,147,044,793,325,490,324,154,362,798,218,873,
904,139,591,750,732,722,192,550,447,356,497,361,520,543,775,155,127,470,474,
600,616,984,494,930,143,240,950,710,648,841,432,111,224,413,697,102,429,206,
011,485,103,664,733,367,599,161,996,685,013,949,351,476,389,452,501,968,908,
698,779,923,453,847,129,585,274,459,857,873,280,528,569,053,540,359,020,025,
228,024,091,834,731,072,034,965,629,181,820,248,119,449,507,947,474,524,487,
499,490,002,441,255,355,795,111,146,003,632,852,478,575,165,566,723,094,780,
334,791,623,728,257,862,307,782,662,977,193,072,917,752,156,924,571,058,041,
880,411,224,370,848,700,722,032,425,500,511,913,766,357,327,398,928,368,663,
537,660,554,432,249,676,084,074,888,589,787,634,801,086,292,111,386,725,586,
096,506,552,499,887,350,872,018,011,898,188,546,560,047,781,075,539,235,738,
465,869,748,290,903,620,808,250,668,383,760,911,681,297,709,952,407,324,105,
162,025,645,463,347,672,220,578,529,143,252,502,586,558,276,386,493,771,662,
529,708,481,795,809,104,834,752,182,439,479,626,767,261,683,978,779,968,796,
833,313,751,258,203,717,608,485,579,459,041,369,386,687,140,947,312,989,145,
759,072,973,743,950,343,627,945,021,466,864,850,940,987,358,155,781,264,015,
597,943,670,462,531,309,278,087,554,500,211,455,834,348,585,969,196,375,103,
675,481,220,237,276,437,208,902,154,468,477,369,302,653,966,782,973,495,518,
665,429,070,095,096,069,354,713,877,636,827,722,222,847,907,982,862,452,928,
946,786,212,237,680,286,497,219,547,638,729,689,190,520,987,433,109,791,220,
710,714,059,153,543,301,825,794,588,325,002,336,334,341,922,527,458,384,970,
618,029,374,258,009,114,020,270,953,241,261,478,024,748,231,586,919,132,022,
376,109,348,842,828,657,697,808,621,418,716,266,663,217,290,094,949,762,083,
237,436,579,664,078,208,061,260,941,805,085,771,006,007,798,944,255,278,874,
839,054,306,070,474,477,958,886,756,750,292,989,265,216,261,788,708,869,878,
593,823,871,132,450,789,004,033,657,527,288,808,561,733,283,817,110,889,518,
097,003,491,700,603,236,209,159,630,106,004,390,385,964,918,827,107,035,983,
099,627,297,467,166,195,391,302,805,467,965,178,531,975,361,244,095,198,786,
809,343,214,082,254,192,828,745,920,596,987,444,173,047,047,328,586,671,485,
797,123,588,462,452,544,122,122,568,175,164,396,332,002,904,769,864,644,788,
959,948,277,618,764,844,774,907,277,630,566,873,418,480,890,759,570,631,862,
249,371,719,361,838,994,226,882,831,787,029,910,495,903,515,963,317,010,946,
888,587,217,512,236,597,607,391,000,396,436,061,862,825,235,140,692,675,938,
967,789,224,813,797,769,989,457,639,713,824,693,485,938,657,732,299,628,224,
144,985,161,206,467,927,187,192,079,641,743,802,025,221,813,154,190,370,165,
063,454,747,428,263,085,226,570,151,156,093,427,460,511,530,853,205,911,987,
084,554,987,616,121,224,994,165,195,373,815,947,318,460,604,033,478,046,814,
557,031,471,760,417,197,326,206,952,060,597,905,491,099,646,193,235,269,692,
237,429,540,009,494,871,234,635,250,640,332,975,020,939,930,855,289,807,927,
397,178,579,122,100,093,547,186,169,853,191,498,128,148,866,964,510,277,760,
242,452,092,587,119,910,041,653,484,053,929,528,858,100,676,451,556,921,774,
404,352,531,229,018,321,810,051,542,755,852,431,232,556,051,344,780,769,420,
318,306,309,280,085,128,188,006,111,145,723,727,856,574,664,088,844,017,621,
344,306,194,414,310,211,543,458,337,414,793,216,549,216,879,499,834,612,506,
038,623,689,529,844,545,074,808,344,490,291,724,767,097,853,427,597,036,719,
066,710,470,845,443,078,260,540,483,414,322,932,070,526,410,134,468,782,588,
216,115,957,577,059,073,963,189,765,655,123,814,941,574,073,381,710,392,847,
204,384,942,820,695,255,831,262,948,160,639,883,360,053,161,674,266,135,853,
150,224,275,053,907,986,511,152,426,510,571,166,542,309,758,385,655,151,441,
028,426,810,736,635,095,179,314,730,079,718,325,852,874,773,398,891,707,209,
426,157,135,727,434,826,696,558,216,561,180,883,497,567,433,944,036,485,180,
245,855,160,016,424,257,645,423,784,397,681,952,028,998,720,102,326,045,382,
771,683,043,847,713,982,973,302,304,264,525,241,482,108,436,062,540,681,235,
117,418,321,537,034,398,825,823,781,512,121,184,718,271,766,034,186,197,562,
419,676,475,060,279,478,290,448,247,804,024,165,674,578,478,667,606,292,446,
506,148,643,500,749,160,597,827,865,349,251,189,050,724,056,456,561,594,226,
956,783,120,367,675,105,542,799,600,793,341,735,265,336,726,166,582,521,049,
025,522,618,568,284,285,591,313,406,789,916,482,506,299,172,362,440,073,643,
305,588,361,570,789,327,530,800,104,842,183,880,010,961,044,091,141,410,687,
838,066,133,672,426,618,611,002,231,306,230,228,163,221,593,396,491,155,956,
485,665,140,733,265,499,133,637,358,703,678,042,964,641,146,372,521,297,208,
371,886,353,884,989,540,467,488,194,999,037,128,473,149,480,768,466,049,097,
034,883,096,853,218,790,874,516,345,859,669,986,012,945,290,925,122,401,430,
712,274,983,548,977,254,580,154,195,034,308,349,541,786,770,533,380,489,721,
167,024,559,549,624,634,538,521,027,609,911,637,193,982,689,111,879,954,434,
230,013,320,843,489,119,909,286,516,851,961,989,108,449,090,697,189,482,000,
445,933,446,126,066,711,308,385,086,322,894,912,768,223,116,847,366,167,716,
119,802,211,536,010,551,720,114,749,201,194,287,154,429,037,826,863,225,742,
695,260,760,154,800,922,284,648,968,859,627,515,956,547,650,563,365,652,530,
845,180,353,131,212,705,480,098,439,472,558,270,972,419,329,983,163,371,432,
394,150,552,653,203,759,852,786,109,306,193,960,937,635,198,833,609,708,267,
108,282,957,290,915,719,247,086,475,815,681,447,274,664,205,655,262,360,506,
383,555,601,965,896,428,219,606,792,373,855,434,458,670,558,792,562,884,096,
206,497,996,840,026,009,157,037,466,910,473,593,216,091,242,719,169,168,145,
398,321,579,334,050,315,432,973,849,450,986,630,104,303,647,687,956,205,637,
874,522,238,195,911,866,873,991,187,099,324,854,958,832,116,247,446,946,807,
458,017,565,239,832,268,820,822,517,609,092,699,606,434,427,428,725,119,217,
805,113,223,978,857,051,419,966,360,346,128,572,227,529,996,827,337,521,943,
854,207,050,656,109,786,429,502,951,446,632,606,007,998,099,583,437,660,230,
603,352,853,918,953,814,379,735,723,122,483,943,130,124,116,427,092,826,268,
698,507,059,347,346,579,950,700,027,674,887,738,539,553,686,376,198,214,108,
544,981,146,241,483,275,091,356,791,380,241,827,975,194,213,063,547,104,298,
408,502,565,788,934,361,465,202,722,881,306,858,328,726,438,083,372,269,282,
741,175,550,792,499,241,402,271,226,150,108,866,272,102,999,034,866,241,045,
404,036,900,413,211,787,934,967,616,202,681,143,360,824,225,325,128,991,838,
258,054,151,003,360,345,511,375,675,201,302,429,730,305,771,089,292,734,041,
030,288,991,352,615,468,845,717,396,162,841,898,368,565,817,009,330,669,029,
917,159,607,468,860,141,013,917,746,839,699,471,257,618,923,251,176,828,061,
749,071,015,215,443,777,807,950,980,045,980,249,364,289,556,940,203,807,264,
586,586,026,781,302,730,662,685,499,534,700,786,258,322,867,365,573,636,451,
447,397,043,882,494,028,739,771,315,561,370,322,532,736,527,053,990,618,218,
832,306,198,674,327,742,611,795,477,312,250,087,905,838,494,831,187,388,773,
539,658,985,761,192,124,857,633,707,568,527,689,612,537,897,801,461,470,562,
705,796,841,029,689,772,114,085,558,972,094,824,256,255,086,312,064,109,462,
627,404,529,727,305,597,149,375,033,574,072,600,723,602,970,794,867,949,484,
458,737,974,765,641,143,813,922,383,465,629,340,419,948,383,804,001,249,987,
627,169,959,252,118,851,918,979,006,490,174,128,042,433,582,268,100,806,585,
135,319,591,164,466,299,349,483,518,741,132,569,657,954,941,416,187,781,918,
236,132,961,648,518,891,556,232,959,239,924,062,327,020,114,986,423,195,710,
013,606,165,136,848,175,749,564,882,202,482,678,377,387,293,716,990,671,644,
179,560,920,212,572,393,503,866,117,195,291,710,673,603,665,374,945,597,652,
352,037,331,473,945,773,771,358,091,556,931,912,308,176,090,312,212,695,379,
135,430,243,964,570,029,415,041,333,273,339,473,161,133,551,875,311,940,535,
503,550,096,185,298,014,346,610,330,287,160,104,381,604,451,593,755,495,712,
987,208,735,099,251,774,712,122,747,749,461,477,024,910,817,636,881,970,856,
292,018,498,016,344,960,450,480,597,794,127,607,170,917,631,290,801,028,895,
163,868,012,909,303,792,639,806,355,220,937,677,269,067,472,743,700,565,272,
495,496,087,866,443,226,676,085,962,205,975,743,733,521,701,010,759,788,118,
708,825,684,308,641,867,380,184,136,595,359,777,128,399,551,649,625,695,419,
619,902,731,026,059,742,676,747,329,228,292,750,343,749,336,559,237,590,220,
986,161,879,504,206,354,262,542,577,341,797,002,588,329,339,482,499,537,619,
847,426,505,276,878,342,292,394,911,716,353,314,613,911,116,915,572,115,857,
230,647,537,507,998,301,898,049,057,361,912,963,235,425,312,999,844,929,655,
919,157,493,616,523,693,377,793,171,741,012,924,199,571,092,851,229,514,762,
834,735,935,468,212,332,604,547,104,070,408,991,538,168,712,371,310,190,988,
961,218,323,407,641,539,928,918,376,787,572,019,967,389,149,424,746,906,382,
191,930,720,813,567,887,793,881,345,711,671,320,338,679,464,275,789,464,117,
762,667,904,525,145,082,020,268,856,741,038,424,609,301,718,184,757,957,679,
689,261,336,626,316,740,382,151,874,241,397,275,809,689,110,351,656,024,286,
644,280,051,033,564,710,443,198,970,902,235,685,773,709,986,233,899,869,488,
324,859,987,154,389,278,664,059,272,846,815,804,085,571,827,179,695,314,313,
387,822,595,721,142,932,182,029,925,097,693,704,600,654,729,537,731,271,264,
368,791,312,664,896,734,708,581,915,659,288,887,576,303,425,008,634,138,576,
531,496,866,469,276,399,726,620,526,993,985,742,708,210,399,937,886,105,235,
564,075,864,269,551,707,949,297,088,593,559,915,253,296,604,955,617,146,774,
214,200,639,012,671,353,977,441,700,805,886,745,953,189,573,274,972,370,375,
700,664,280,256,791,238,207,612,716,065,836,470,847,416,167,484,677,563,298,
953,973,580,550,098,651,564,481,445,820,988,768,353,369,652,973,985,855,839,
978,584,607,354,981,120,837,368,187,722,504,657,569,904,663,240,802,024,626,
868,234,671,440,427,195,947,112,837,577,624,625,566,169,458,803,940,981,011,
484,641,113,992,528,600,326,417,409,729,727,301,603,880,118,272,623,927,906,
578,420,049,100,527,618,155,515,671,476,650,097,873,344,166,914,132,985,763,
271,264,374,097,521,261,915,589,792,887,006,889,777,668,061,307,206,924,882,
592,473,886,735,716,158,303,858,609,777,307,508,702,472,915,538,489,288,850,
478,346,995,197,956,955,918,604,546,725,009,386,390,463,763,158,925,918,477,
865,731,403,467,861,763,477,264,985,762,660,846,234,107,081,477,747,789,879,
813,837,034,561,683,357,515,105,594,833,090,489,407,977,822,518,635,309,320,
446,685,212,416,431,962,785,806,478,731,221,338,110,109,781,420,424,920,121,
978,223,263,880,707,407,197,369,168,055,204,310,193,005,395,062,289,893,222,
807,237,178,628,719,587,696,857,762,228,122,747,149,244,885,504,556,321,626,
821,283,185,088,021,704,580,065,793,250,730,027,588,226,879,842,828,844,250,
302,067,496,088,255,990,703,889,390,894,708,070,448,045,952,079,921,483,392,
649,092,072,565,351,224,867,764,584,932,227,359,743,606,923,574,226,598,176,
468,580,258,452,698,047,551,236,745,033,099,726,940,863,268,459,638,819,405,
063,389,797,372,648,508,497,107,296,473,601,311,355,835,472,071,427,133,383,
321,940,805,067,884,004,111,575,691,916,129,524,511,156,574,444,585,189,856,
749,494,821,610,985,115,556,660,314,818,446,763,706,293,681,714,180,103,101,
760,320,934,481,574,547,204,558,581,895,723,719,807,653,880,019,874,560,058,
799,163,140,037,107,834,582,461,597,526,482,279,403,858,650,279,756,175,696,
158,384,175,238,137,524,767,066,534,333,853,245,480,272,937,245,628,223,876,
214,132,756,409,150,307,076,977,015,878,888,523,651,956,456,490,224,405,306,
579,682,478,937,228,340,589,820,171,182,725,341,790,655,426,314,120,712,923,
805,471,449,759,834,109,647,850,933,686,891,986,833,104,235,007,905,917,299,
514,660,790,244,849,469,829,357,400,388,690,667,359,347,574,982,179,204,807,
367,738,111,727,023,870,248,293,815,961,240,663,678,263,395,068,668,758,478,
605,133,620,349,576,584,684,009,385,605,546,988,198,803,690,460,705,278,589,
542,864,048,488,220,277,980,840,103,932,676,467,945,922,270,987,140,921,827,
593,992,218,078,434,038,298,902,906,867,676,809,248,020,320,663,507,971,385,
739,652,197,205,362,972,748,814,874,132,618,767,860,861,923,295,441,921,467,
594,023,175,078,182,599,424,497,941,721,151,983,615,321,610,439,560,607,337,
155,323,167,039,783,582,001,360,192,989,515,259,035,421,819,790,898,949,559,
961,608,092,034,641,158,328,506,074,774,652,678,027,353,768,420,221,507,403,
342,236,251,684,618,881,409,129,086,249,829,825,555,857,037,898,511,140,414,
138,529,235,389,241,964,892,793,800,141,813,259,292,965,418,272,373,259,732,
194,632,393,949,387,983,646,051,264,448,621,045,012,242,374,368,203,173,877,
377,049,065,126,136,384,794,405,448,428,820,940,049,914,999,612,569,250,361,
776,484,746,900,549,109,670,830,662,250,485,852,132,284,974,594,711,644,354,
394,873,249,040,157,246,691,670,966,773,676,432,952,519,720,946,118,272,148,
441,077,306,577,148,667,915,358,109,847,991,656,581,768,347,844,280,770,796,
946,597,902,678,323,561,105,424,936,922,957,340,305,437,159,509,960,528,364,
771,317,599,244,446,875,526,667,023,085,270,676,316,197,519,619,251,568,016,
548,879,449,526,266,063,043,561,885,426,004,244,576,386,925,961,152,903,598,
383,501,053,620,509,272,586,728,648,240,560,327,856,814,892,599,370,601,686,
443,503,096,723,238,931,884,941,721,044,366,166,563,763,199,830,150,680,747,
457,621,373,945,713,737,240,590,511,856,737,994,475,466,189,537,678,096,103,
811,468,631,553,973,517,562,636,451,297,007,489,946,368,181,638,240,092,161,
536,983,516,983,150,606,315,503,131,035,784,262,863,194,573,667,136,236,746,
470,526,046,510,036,268,672,487,312,649,215,726,642,143,272,515,754,421,063,
246,943,204,438,010,646,118,900,958,127,100,764,229,004,263,346,733,451,459,
181,699,518,433,627,861,701,710,028,604,062,041,976,351,855,677,917,352,734,
535,944,769,745,268,539,275,913,527,653,394,930,497,537,108,998,585,195,537,
117,516,559,277,224,702,593,141,486,609,784,495,257,773,020,545,405,586,968,
442,042,601,127,395,904,099,066,022,344,916,843,250,233,106,234,824,998,217,
062,363,997,311,097,898,354,096,263,664,693,152,824,277,546,409,352,748,205,
729,568,328,317,470,572,733,433,192,119,009,302,670,885,944,262,214,055,588,
905,485,636,299,782,745,044,146,917,917,483,921,790,452,059,289,401,759,919,
491,186,793,047,464,874,987,712,180,000,295,846,387,762,021,196,622,486,403,
292,665,831,027,292,267,394,238,257,094,829,530,368,013,035,676,137,319,958,
289,403,078,122,526,720,422,451,627,729,158,318,629,065,267,643,591,936,510,
021,000,878,785,783,838,703,697,113,923,209,187,654,416,678,389,856,268,615,
951,533,200,550,196,307,321,168,998,687,355,822,134,404,203,768,218,022,593,
853,295,327,460,825,952,968,682,042,002,075,579,415,342,925,261,899,169,993,
360,457,247,740,254,819,276,172,933,778,741,896,427,280,471,370,755,593,670,
479,042,685,609,045,713,738,407,678,046,679,930,861,620,748,642,611,730,969,
080,517,709,323,653,381,604,946,768,674,566,974,315,637,049,037,159,032,070,
184,711,197,793,671,828,991,671,011,427,095,520,624,536,786,552,975,302,983,
562,107,206,961,939,471,707,978,105,173,944,603,889,411,213,463,663,125,013,
172,290,319,132,220,179,116,322,394,359,668,053,358,431,564,349,610,942,505,
809,516,429,395,623,602,001,988,009,747,724,324,618,545,902,407,761,367,649,
266,640,697,778,771,746,196,307,565,538,763,407,727,972,273,481,658,866,743,
719,944,826,232,118,807,920,475,971,500,672,200,800,349,303,786,037,904,104,
716,695,259,923,812,317,509,590,963,299,428,910,925,880,560,554,727,960,174,
452,175,260,259,238,919,647,276,318,680,242,216,312,456,183,169,725,055,388,
809,889,522,898,094,355,397,174,202,685,993,907,567,733,430,025,174,467,702,
086,575,540,104,419,516,404,190,497,910,083,477,747,023,381,003,389,260,471,
735,467,680,833,804,436,307,674,068,968,796,734,955,583,253,141,545,703,248,
651,364,679,627,370,073,735,725,360,562,794,774,116,818,405,502,684,306,066,
478,585,182,535,709,369,705,754,838,432,500,886,985,090,527,201,611,535,795,
504,577,428,071,311,550,013,032,348,402,598,924,300,554,833,749,504,497,573,
455,426,112,318,494,351,899,746,740,954,948,473,869,755,050,607,672,864,867,
630,107,851,401,450,858,588,262,362,731,867,248,915,945,266,969,774,562,062,
160,264,801,333,355,486,930,479,171,881,776,483,275,683,427,056,407,190,737,
313,499,274,149,254,690,281,546,640,658,083,860,367,788,758,592,546,312,511,
262,076,449,984,666,819,236,626,145,553,625,918,655,313,590,258,028,522,683,
937,114,945,655,318,774,789,713,457,007,131,445,246,704,784,070,077,452,997,
836,776,310,672,687,026,500,812,997,419,416,292,909,352,814,659,754,677,367,
387,697,078,704,691,144,234,521,120,984,994,264,139,925,108,738,443,314,841,
489,705,120,339,605,023,191,322,901,910,449,330,121,843,038,314,620,095,569,
280,184,233,266,849,720,984,638,022,286,898,670,641,901,605,944,016,874,310,
787,781,335,095,828,299,913,866,295,296,294,415,244,944,351,503,477,927,995,
212,441,430,574,012,131,638,503,925,660,507,072,102,009,610,903,468,443,363,
434,026,287,681,747,115,303,982,254,982,880,504,630,180,772,344,028,687,363,
018,350,743,878,584,619,206,309,354,896,665,556,785,084,956,951,431,493,905,
312,596,174,265,746,448,814,494,437,468,494,420,131,381,899,317,553,615,470,
275,046,480,273,382,679,650,526,585,688,783,530,139,771,588,406,296,196,800,
598,061,896,356,813,208,652,607,241,645,693,242,557,898,816,867,625,348,000,
334,695,649,504,033,615,936,334,653,920,454,320,888,392,971,187,194,838,489,
733,408,707,477,300,381,841,530,737,037,342,250,491,617,149,157,247,658,748,
539,250,534,216,100,777,647,014,982,046,491,447,463,919,400,777,254,392,380,
136,237,673,729,405,706,252,785,111,265,035,631,737,376,785,887,459,417,248,
355,775,008,242,589,337,183,012,621,795,805,200,290,437,409,441,608,056,230,
424,584,469,961,181,710,851,955,979,651,144,226,164,720,222,172,985,087,311,
475,837,637,083,064,556,473,331,581,520,824,309,098,586,452,297,981,849,771,
271,071,320,174,866,268,874,396,781,301,357,598,302,840,860,704,650,894,747,
751,619,963,246,933,576,399,968,034,580,083,885,798,375,250,584,256,100,045,
782,532,370,857,786,407,441,511,458,377,801,956,357,774,193,749,100,622,425,
294,548,964,806,169,782,652,445,453,405,540,948,791,502,321,169,305,565,233,
404,742,375,035,891,501,340,852,322,069,932,379,456,866,759,385,021,489,291,
813,858,478,483,389,220,722,188,392,491,502,573,637,078,885,424,965,347,242,
979,102,360,799,568,245,551,441,145,989,340,665,562,380,366,010,581,658,294,
419,408,443,732,661,173,367,176,250,261,761,977,960,293,752,308,561,448,432,
696,953,720,722,716,750,579,236,055,876,884,279,166,449,450,809,971,850,523,
470,090,315,376,986,804,013,975,565,744,668,040,455,931,731,539,095,289,691,
382,195,427,403,783,387,994,871,636,585,682,947,555,313,984,863,813,690,776,
930,962,247,397,530,830,287,223,500,795,170,400,134,421,472,124,316,259,547,
575,093,260,340,041,808,815,572,669,585,471,552,936,865,128,628,666,400,823,
048,734,654,700,563,133,428,348,156,998,382,270,395,925,902,338,272,872,203,
036,480,097,352,292,831,747,069,344,493,207,828,411,891,942,429,281,575,839,
326,492,998,874,936,837,664,087,445,447,391,338,871,764,053,551,281,534,593,
075,788,381,176,325,683,492,895,180,377,890,018,624,397,641,725,899,213,078,
582,227,173,353,953,706,032,758,781,970,233,931,126,466,814,577,790,006,736,
094,152,897,738,157,650,062,967,381,935,537,798,007,270,836,082,376,700,675,
637,095,656,547,660,936,942,066,476,427,687,029,027,973,092,433,975,710,170,
126,328,071,209,956,308,941,460,034,029,650,506,995,461,681,053,636,241,591,
978,201,122,087,138,595,999,442,151,876,047,592,932,711,192,431,458,874,252,
624,567,844,656,015,972,475,038,046,365,874,678,047,663,773,100,123,489,101,
452,156,191,058,086,993,432,412,053,693,729,466,082,397,829,664,641,623,413,
771,589,399,677,814,260,051,992,597,591,002,122,245,947,300,114,067,791,722,
848,368,298,568,386,923,408,407,928,395,556,963,088,594,555,966,163,768,042,
536,099,184,743,741,091,220,616,774,433,894,563,024,485,648,480,175,659,344,
000,197,786,594,430,860,214,546,165,441,798,399,729,988,148,346,957,184,008,
739,057,115,907,093,723,917,001,103,411,993,791,400,943,693,303,899,782,454,
793,431,964,171,319,829,371,982,893,219,727,763,307,121,187,468,870,571,583,
369,612,610,156,196,488,553,085,207,288,951,029,221,267,471,620,813,294,594,
746,033,304,451,524,260,650,146,803,899,841,815,589,651,419,189,568,068,242,
142,998,925,654,453,041,212,964,038,041,169,396,375,708,209,548,876,983,655,
408,675,418,454,693,965,253,304,672,867,662,502,153,124,867,765,017,199,317,
076,743,516,719,574,990,824,373,342,469,960,407,652,444,848,516,717,805,951,
981,463,897,749,493,951,765,272,199,292,892,902,498,135,445,153,306,599,284,
341,445,833,778,750,567,047,083,781,405,345,596,505,889,895,601,781,257,161,
230,398,521,976,963,334,878,523,985,090,274,365,623,001,095,071,672,010,997,
364,552,120,117,808,919,688,546,843,217,361,977,688,558,759,099,526,697,165,
300,027,179,845,957,983,294,951,743,539,554,565,465,994,653,716,718,099,674,
210,963,936,430,322,212,217,915,175,192,992,654,234,750,799,135,633,169,147,
615,861,531,445,619,557,137,642,551,494,588,925,531,161,470,648,835,970,074,
000,747,976,447,022,123,127,950,485,596,038,299,926,405,236,975,581,459,543,
200,307,638,877,365,975,356,252,784,378,623,467,109,416,265,338,394,262,909,
205,563,343,812,325,792,865,484,417,959,383,593,707,085,278,866,537,303,447,
016,024,847,556,533,550,137,757,602,322,177,252,613,513,898,971,666,042,827,
094,956,044,077,363,226,519,928,913,543,285,389,794,553,527,627,904,991,624,
197,459,440,277,460,426,359,180,341,014,129,500,533,897,471,358,792,450,814,
842,584,086,578,178,175,788,367,742,254,944,016,395,697,786,880,619,351,762,
991,404,800,284,284,777,410,582,184,379,355,172,380,688,136,104,658,553,462,
053,547,598,893,029,706,816,943,145,478,046,766,066,784,571,423,335,442,700,
752,037,209,590,223,507,555,829,417,401,990,247,623,679,258,770,088,503,759,
424,750,454,210,020,913,016,392,656,536,700,660,280,061,802,712,231,533,975,
255,519,883,118,225,711,216,292,779,236,744,721,062,491,049,289,690,109,200,
041,237,063,017,978,875,328,387,024,911,341,257,887,660,264,575,943,906,601,
879,455,947,424,890,398,621,800,384,737,020,173,195,615,373,434,861,253,403,
045,459,420,183,969,291,552,328,839,663,379,038,573,929,652,071,501,906,016,
475,865,818,639,942,175,063,655,166,841,370,905,511,747,522,741,897,349,160,
803,031,908,597,727,183,871,588,428,006,692,403,328,138,682,964,335,568,181,
475,991,234,818,203,707,536,426,090,496,874,322,630,746,029,807,544,272,735,
224,031,930,185,352,409,536,054,596,756,660,384,325,286,515,648,138,737,573,
903,750,423,204,517,653,383,583,984,854,771,805,109,575,494,782,703,727,815,
869,603,719,502,817,545,604,226,057,539,221,741,745,090,088,494,626,407,798,
788,986,598,586,895,086,789,708,127,650,182,729,559,940,603,868,305,629,432,
815,753,842,035,173,493,648,728,206,123,034,399,951,655,657,743,447,004,698,
375,627,571,748,982,409,131,878,883,610,852,612,474,697,053,280,062,986,913,
589,706,736,591,093,764,297,174,441,816,329,193,035,053,033,643,730,511,963,
340,124,878,650,607,486,047,886,082,324,547,059,313,815,081,167,776,661,593,
042,632,077,333,742,784,806,434,359,280,808,412,339,411,518,985,402,743,287,
861,937,640,786,151,991,990,013,504,931,818,556,329,169,351,472,813,483,158,
298,422,996,772,032,392,339,195,986,169,268,384,641,209,617,677,613,218,274,
505,461,614,447,770,935,586,491,976,977,060,420,004,379,824,141,137,025,231,
928,296,236,572,349,631,696,903,976,633,876,187,852,502,829,096,111,307,982,
841,404,327,732,255,318,917,921,423,579,570,937,908,294,427,999,056,843,456,
813,699,932,406,644,075,934,120,527,061,939,421,384,790,682,558,994,267,749,
232,114,470,383,343,119,752,036,238,746,631,955,253,066,022,842,027,418,435,
090,379,261,235,437,719,606,984,401,915,446,585,365,463,364,510,178,338,476,
752,100,359,890,026,242,587,271,711,359,911,926,442,571,925,185,720,581,301,
884,668,397,546,644,068,442,247,787,107,614,510,078,315,172,512,947,792,425,
943,691,802,327,474,958,184,050,465,905,086,279,472,798,184,608,849,591,364,
642,287,146,860,972,484,307,169,550,954,978,214,187,292,283,239,821,438,807,
994,062,564,849,285,076,951,559,281,479,382,309,015,214,491,343,119,405,647,
060,341,014,719,017,215,183,454,009,872,514,561,500,477,092,536,783,418,925,
532,786,101,122,442,624,844,631,687,213,696,490,397,945,838,106,051,190,208,
493,269,519,351,270,143,000,849,569,101,759,434,091,467,127,958,231,405,260,
626,060,685,170,110,137,074,520,473,929,372,760,069,971,123,587,832,549,972,
743,726,214,815,509,571,465,196,463,683,487,647,138,550,058,570,554,568,134,
856,003,477,361,341,983,458,683,910,371,597,167,008,962,774,668,802,504,476,
724,057,771,184,190,627,018,028,877,642,532,619,708,607,002,271,721,377,364,
847,897,132,605,102,876,831,698,404,375,438,264,250,282,572,915,681,779,922,
893,008,035,911,171,525,825,331,683,618,277,504,168,717,856,688,133,374,703,
498,950,084,763,712,510,987,291,382,659,728,329,108,048,319,342,693,925,918,
589,743,748,308,858,540,791,158,735,100,265,638,742,821,609,180,649,754,955,
037,845,223,129,575,113,804,406,878,177,505,101,297,976,152,609,672,575,467,
677,203,060,536,614,129,694,810,636,193,017,922,261,462,897,105,769,612,124,
545,754,398,175,742,774,147,299,592,905,927,998,168,018,494,072,257,301,098,
799,187,992,772,241,133,344,040,360,520,034,187,638,245,227,636,503,767,360,
973,954,243,038,604,715,253,436,106,368,140,913,808,825,224,115,587,319,541,
199,028,260,045,584,215,555,870,942,189,207,842,867,888,144,068,929,567,955,
215,907,391,762,473,549,350,159,442,856,674,702,838,929,337,283,282,476,503,
283,055,737,379,175,939,998,209,994,867,315,661,163,595,960,664,213,618,649,
067,940,602,560,361,378,623,283,659,872,823,000,401,313,418,471,884,827,796,
999,486,727,416,736,005,041,987,165,213,373,655,872,824,065,313,893,622,163,
419,199,871,330,364,476,107,901,931,651,318,725,559,806,045,567,431,385,325,
062,280,914,594,537,823,425,653,607,672,534,272,265,715,801,744,002,420,650,
001,858,021,181,500,193,602,258,128,648,948,731,231,301,908,929,222,722,978,
109,485,898,897,657,797,482,740,112,162,546,231,380,533,725,315,832,129,445,
724,073,805,554,957,528,241,576,771,868,608,406,589,952,498,627,028,415,911,
211,691,602,392,761,722,350,796,994,493,960,090,969,723,659,676,954,051,167,
529,381,710,643,069,652,740,289,398,935,907,556,682,276,722,335,544,182,561,
147,390,757,639,504,029,961,413,625,874,386,477,661,031,959,690,434,478,898,
789,444,101,630,330,222,127,516,463,594,678,223,708,838,874,148,111,252,266,
079,026,652,121,214,827,140,195,788,181,159,046,124,777,450,456,512,242,378,
810,163,830,390,983,330,867,439,831,647,747,348,780,889,444,321,476,336,035,
064,991,928,529,012,207,910,413,222,365,520,164,932,363,142,862,652,551,096,
139,003,805,972,549,120,268,846,368,104,678,384,189,936,920,076,780,345,928,
446,218,732,580,766,254,993,305,171,145,901,393,825,119,319,412,816,815,933,
908,799,050,031,818,430,729,354,209,774,355,968,683,172,300,096,357,238,467,
090,841,690,017,090,578,459,065,374,409,977,951,199,314,822,808,291,117,454,
527,468,440,681,999,596,634,607,377,574,490,171,904,367,970,428,844,710,854,
213,783,048,265,306,871,571,186,317,709,158,218,327,803,911,445,919,475,074,
215,173,066,784,145,831,500,317,198,795,923,244,322,394,172,619,283,748,474,
960,621,904,971,196,836,187,388,830,382,748,941,746,382,605,184,332,108,066,
017,117,375,143,830,396,282,455,745,533,537,772,518,498,920,265,083,569,276,
171,668,766,527,139,718,469,688,976,916,344,093,810,674,023,145,097,285,744,
457,178,992,404,016,392,607,267,344,274,098,715,746,679,852,519,093,456,857,
169,642,994,139,506,161,237,286,027,668,439,050,181,293,461,451,276,040,523,
062,659,403,066,220,859,816,935,491,219,992,764,205,949,368,678,124,487,762,
532,011,542,614,532,331,234,232,337,669,465,014,432,896,229,565,495,748,037,
302,774,591,115,610,603,450,142,522,023,412,034,022,051,230,139,323,662,688,
932,138,343,850,985,391,257,493,296,784,212,185,668,008,327,567,426,336,744,
687,982,209,303,886,311,924,938,966,483,252,779,300,107,889,645,158,387,305,
776,108,415,947,304,221,507,591,820,666,333,014,637,038,125,626,790,276,619,
285,132,238,395,010,149,465,686,322,739,112,023,017,062,909,753,174,459,403,
634,427,866,128,545,953,089,191,901,744,419,273,825,855,762,365,019,536,682,
166,868,615,085,791,833,543,190,204,683,958,801,902,298,440,277,683,245,015,
534,935,195,647,007,153,357,594,517,566,059,971,913,219,550,701,976,419,676,
787,471,332,296,254,005,081,416,364,815,691,049,755,874,363,311,027,403,755,
451,430,968,601,156,823,410,530,740,164,057,074,241,630,256,628,666,422,514,
883,870,205,757,722,945,036,761,278,691,099,602,337,199,401,122,586,939,474,
962,032,405,935,592,960,981,032,089,881,069,815,309,267,768,364,093,059,235,
263,697,270,104,193,430,931,796,539,809,084,411,379,943,777,144,869,796,719,
490,678,256,973,258,020,102,081,285,230,083,540,001,339,269,924,397,951,532,
035,651,342,301,898,762,581,834,536,821,430,297,964,906,741,976,334,338,698,
100,489,873,366,349,339,002,013,540,912,176,187,791,785,984,078,031,624,244,
845,804,400,722,779,771,810,783,829,203,331,962,818,631,842,361,217,750,224,
375,371,057,456,013,161,225,863,295,053,587,849,830,122,786,029,257,913,596,
804,718,367,474,703,350,794,619,227,969,476,615,069,333,451,380,685,612,490,
045,724,495,719,009,641,984,846,976,982,074,325,594,609,120,633,323,186,967,
121,688,779,729,065,027,837,995,472,135,712,695,342,482,329,207,039,527,736,
833,430,359,063,651,869,840,620,086,493,626,500,228,286,665,871,054,988,041,
021,044,896,691,392,812,736,197,474,288,629,101,087,512,812,732,625,343,704,
070,696,329,250,589,028,055,839,270,980,404,730,263,202,692,399,034,187,503,
103,060,537,443,588,974,118,900,148,220,086,652,843,246,582,881,056,478,096,
150,421,033,509,118,042,888,177,040,222,225,343,119,263,356,329,192,397,082,
773,460,945,430,436,686,342,465,830,016,117,084,965,675,905,893,316,246,718,
656,531,185,979,907,304,515,800,546,187,303,551,805,973,226,381,226,581,201,
346,246,615,235,153,227,961,586,827,743,324,829,264,619,334,593,872,981,877,
376,377,459,787,790,157,132,660,121,224,016,087,677,905,920,214,126,590,538,
401,825,725,243,339,152,199,230,545,038,206,704,901,016,874,820,756,560,408,
692,995,490,576,159,393,445,928,010,839,712,767,755,067,250,652,880,762,827,
172,923,159,413,180,155,510,046,114,635,717,333,917,154,842,097,325,319,422,
038,064,802,591,290,672,975,070,008,760,617,117,059,076,876,048,066,989,906,
236,185,764,019,352,176,684,942,015,555,560,516,012,387,825,196,046,473,882,
958,543,671,373,961,153,927,893,073,150,596,525,444,308,384,536,999,260,218,
199,717,937,428,248,614,309,774,651,104,967,308,468,114,365,727,445,770,495,
943,209,491,817,795,742,315,826,219,813,050,105,950,460,502,508,530,197,258,
461,801,630,847,079,785,600,227,060,232,482,908,356,418,053,253,911,493,008,
912,109,600,521,371,363,005,413,144,671,045,906,593,059,054,138,006,933,922,
538,835,019,901,517,459,415,640,511,034,060,736,264,811,352,488,767,529,076,
641,256,036,551,388,356,994,524,124,596,197,055,244,640,519,155,402,718,731,
773,531,938,471,196,787,327,541,677,886,249,050,589,557,687,032,393,694,417,
738,926,132,675,434,158,787,789,903,015,196,559,995,952,024,488,941,929,267,
677,376,816,479,258,060,188,393,370,514,322,429,303,741,535,617,913,481,489,
193,175,656,659,863,397,852,409,182,785,320,157,980,217,412,585,292,352,002,
700,896,981,627,618,506,842,234,736,183,174,506,020,457,356,576,910,105,021,
413,498,782,165,624,053,663,873,894,221,058,983,509,756,104,068,214,829,970,
617,908,043,201,463,680,333,493,645,218,783,860,482,557,221,666,234,206,122,
372,609,696,570,240,600,310,553,912,609,068,324,253,904,124,972,214,312,998,
910,083,458,875,175,359,502,358,359,156,215,576,609,254,231,095,794,069,372,
592,462,603,639,202,024,269,022,494,040,951,108,154,618,641,822,014,802,030,
721,280,662,130,513,595,145,350,682,367,583,702,957,620,550,742,612,904,930,
805,357,341,262,481,359,319,150,913,222,215,998,952,158,374,428,511,969,049,
093,896,571,625,131,598,693,563,645,704,154,144,540,219,473,973,936,006,025,
897,468,013,394,222,844,197,739,129,379,580,398,330,331,468,181,629,965,344,
196,965,307,654,372,176,192,749,696,423,548,788,248,262,176,297,258,201,756,
733,883,732,103,258,228,617,728,273,812,552,372,019,916,896,850,594,581,862,
121,097,535,381,356,609,981,456,610,501,601,187,929,281,346,903,810,212,708,
653,861,600,763,349,742,780,191,066,921,357,091,547,095,221,513,111,465,909,
159,870,612,842,703,517,468,466,916,904,597,973,583,639,896,019,327,712,777,
299,257,497,432,014,968,387,054,937,235,570,138,385,125,376,017,847,201,606,
549,491,543,637,543,144,260,384,337,543,321,113,023,754,825,082,135,619,432,
445,096,369,573,544,446,429,373,271,353,811,533,689,304,225,710,667,617,744,
607,627,968,212,702,085,527,021,457,288,226,411,130,986,240,109,033,455,321,
038,869,657,141,972,742,040,850,131,356,312,182,272,401,943,382,067,445,935,
931,171,062,060,019,969,316,643,113,748,691,468,950,598,272,761,776,337,957,
728,870,227,403,154,205,000,563,577,571,582,870,971,503,811,107,711,033,766,
943,334,837,380,167,522,508,569,015,478,699,679,071,607,262,849,513,168,516,
068,384,132,705,192,086,778,853,716,494,042,536,131,894,052,261,324,415,951,
271,016,937,564,415,477,606,561,294,135,602,385,282,947,562,967,507,667,617,
599,944,773,846,156,827,660,638,044,927,990,450,785,988,867,688,858,956,178,
211,733,503,697,390,217,298,581,710,019,539,200,484,791,459,945,692,692,162,
700,082,171,491,457,220,835,579,381,811,238,365,374,643,150,452,281,068,605,
447,607,213,895,950,247,952,322,320,494,557,491,385,107,626,299,285,708,357,
122,851,295,465,334,895,577,444,881,600,357,466,455,517,747,008,360,713,180,
673,238,738,486,221,018,876,471,085,710,956,869,364,930,056,917,119,405,319,
972,162,859,228,710,823,158,161,449,411,637,127,449,173,492,750,421,804,362,
995,973,545,819,955,503,250,850,879,607,853,552,800,962,044,828,122,544,663,
623,406,499,320,615,121,717,700,041,781,097,682,491,794,051,008,163,341,500,
783,184,973,204,762,447,163,164,870,813,816,796,864,851,865,086,397,335,687,
879,449,613,540,720,892,981,026,798,976,267,051,469,590,604,228,737,319,089,
501,932,145,853,299,321,028,338,616,460,522,657,231,364,342,917,450,383,903,
277,452,866,874,432,941,552,411,970,001,263,077,342,489,474,979,946,016,393,
925,358,958,805,568,452,384,218,990,282,655,864,740,529,538,217,580,539,114,
270,794,347,424,917,658,165,079,730,642,773,143,137,204,626,372,064,150,875,
210,390,622,856,261,392,845,158,313,125,213,157,563,634,620,892,092,957,028,
917,617,291,482,579,502,914,712,358,395,678,294,267,954,125,424,418,860,449,
278,758,940,667,007,869,213,486,235,878,033,553,330,790,825,659,401,828,272,
900,063,290,025,989,791,689,765,673,948,239,114,258,275,832,544,946,935,574,
492,294,019,269,452,052,102,873,740,334,003,524,784,631,476,737,290,977,585,
391,952,325,455,276,100,639,766,061,673,018,389,348,510,008,720,718,541,621,
555,666,220,802,830,664,297,752,761,027,901,752,795,953,806,106,255,184,310,
186,173,736,537,586,086,478,594,657,391,772,108,128,904,665,912,733,814,654,
539,159,874,457,815,792,649,767,647,163,583,687,636,866,746,704,704,019,774,
754,652,474,631,219,631,667,877,634,314,607,964,206,745,292,946,038,373,164,
405,833,806,998,250,803,679,710,000,501,804,302,216,814,517,918,517,356,840,
339,670,518,110,850,522,140,283,934,683,013,823,648,751,450,609,950,390,259,
137,487,763,465,118,440,471,143,663,237,332,310,952,612,694,361,897,518,374,
233,825,678,930,727,446,506,113,350,764,775,389,742,268,042,019,563,998,291,
278,226,624,479,279,078,180,914,476,845,796,890,875,197,978,524,228,881,405,
851,366,851,639,385,420,939,104,365,117,198,765,974,002,340,685,338,671,898,
928,996,857,438,208,773,710,654,597,804,640,720,141,559,529,767,794,827,317,
078,374,462,182,111,991,087,272,709,295,082,202,154,154,918,884,099,763,342,
435,731,112,137,809,275,550,273,358,962,187,999,618,408,484,852,470,846,808,
822,876,586,738,143,050,415,958,111,817,768,486,622,884,104,623,079,701,655,
539,661,275,821,693,860,718,264,846,120,783,523,751,880,689,959,401,333,627,
281,712,287,185,929,653,468,379,569,814,782,919,339,632,430,242,040,138,119,
717,339,320,979,090,594,173,890,071,746,895,150,136,012,800,903,785,733,687,
514,640,404,042,357,810,895,057,800,784,030,065,635,818,072,749,778,483,642,
493,700,200,114,066,892,651,435,975,231,727,600,626,554,545,683,371,680,896,
141,896,764,248,088,491,515,420,525,024,702,700,312,320,577,108,218,684,929,
349,530,333,041,616,679,285,421,566,574,909,557,385,296,636,059,526,928,601,
269,374,854,419,443,010,989,732,422,955,142,087,037,842,907,542,840,587,140,
347,959,066,603,942,315,993,939,382,013,722,758,846,995,585,642,581,680,959,
741,836,741,802,726,906,273,331,534,011,303,023,932,626,518,465,905,983,921,
789,170,339,705,605,579,008,349,924,614,817,595,634,584,412,285,741,383,384,
128,780,811,747,668,138,548,783,132,512,864,660,290,439,400,446,020,135,320,
363,290,710,424,854,682,598,909,387,373,497,281,245,551,632,794,485,984,507,
675,373,437,548,243,732,314,773,119,321,131,464,056,171,134,992,703,593,693,
790,554,370,370,375,415,386,989,831,387,552,490,461,031,110,987,656,676,976,
423,275,992,418,419,097,093,808,375,492,505,479,666,888,521,766,455,111,464,
249,787,946,940,522,621,069,190,429,798,463,129,357,646,579,118,707,230,958,
371,087,525,405,577,635,198,948,240,585,975,988,560,655,934,533,542,654,100,
896,005,282,319,544,015,351,531,365,428,671,473,476,877,844,249,872,661,626,
132,122,965,902,610,999,856,213,144,500,226,699,371,472,885,562,321,234,720,
769,281,241,603,683,835,034,643,359,692,455,499,837,989,004,112,552,340,617,
944,427,660,463,672,309,585,572,481,560,657,362,893,359,777,011,886,117,166,
901,110,967,715,518,327,144,942,080,870,517,293,565,785,212,251,832,594,223,
243,745,181,231,807,730,330,363,859,882,646,391,972,635,785,824,214,712,751,
282,796,208,817,612,718,479,628,992,094,585,877,984,083,629,030,824,543,929,
424,377,012,132,853,231,325,972,495,574,467,777,018,247,535,627,145,220,635,
578,342,477,283,530,614,425,637,918,113,949,527,756,226,559,326,417,619,033,
555,893,716,963,120,860,928,366,299,684,910,839,069,548,132,959,305,320,530,
605,327,433,197,304,877,294,316,317,234,765,129,908,100,249,491,558,669,001,
780,231,825,809,132,508,964,638,852,075,901,630,764,346,025,443,859,481,667,
150,456,788,433,326,959,499,665,877,863,544,655,373,116,459,058,220,604,716,
965,069,226,803,638,507,812,381,838,248,126,144,621,415,949,002,710,974,162,
265,431,019,582,123,460,368,532,210,016,541,754,078,555,308,436,773,120,349,
749,242,581,420,216,609,816,169,121,838,343,969,635,956,946,953,446,971,045,
358,913,475,451,442,651,285,837,336,603,695,999,844,915,373,966,605,065,157,
691,533,073,553,654,162,682,789,600,540,160,390,237,180,536,536,806,492,655,
554,858,545,736,781,812,624,476,956,529,997,344,679,426,463,360,746,810,151,
120,213,791,022,733,520,227,033,516,720,590,242,875,256,236,971,521,535,878,
952,868,688,835,506,126,652,884,232,547,132,885,891,251,621,378,504,514,564,
673,589,088,269,356,882,292,217,559,011,847,042,571,491,601,887,449,942,153,
717,215,633,644,368,992,471,071,196,992,675,509,911,172,568,686,999,902,555,
545,148,910,946,492,425,623,138,069,381,726,326,118,028,463,153,822,804,611,
618,258,605,372,733,653,743,302,297,370,858,423,861,337,963,778,598,200,616,
176,944,802,417,280,950,953,794,769,215,711,108,092,241,708,081,163,898,308,
358,159,379,714,858,079,261,647,551,765,582,244,489,984,880,631,292,283,458,
409,561,523,964,066,507,245,220,088,683,587,834,683,142,651,848,080,267,508,
815,323,135,823,854,107,358,169,762,972,131,790,804,763,584,576,790,866,124,
627,043,527,082,523,874,173,330,872,568,768,558,488,018,716,441,009,148,276,
895,718,624,861,578,016,660,582,161,771,891,607,604,988,692,317,572,563,379,
668,188,243,232,052,114,355,467,260,440,454,969,924,591,603,148,968,908,907,
966,562,422,337,432,671,967,968,460,154,897,632,799,030,327,144,945,084,874,
169,429,558,002,499,687,679,742,479,452,944,495,538,262,520,085,857,195,388,
723,769,145,222,883,032,321,977,314,404,168,790,195,326,260,303,388,514,185,
454,847,029,073,115,756,900,518,268,733,993,641,073,678,114,963,586,048,719,
986,406,975,526,079,697,609,943,993,657,620,987,751,654,252,687,286,109,656,
958,489,066,603,956,101,044,855,071,030,347,535,230,448,406,168,923,541,518,
802,032,024,893,375,988,466,942,617,950,771,721,346,126,141,883,507,172,284,
200,727,071,320,438,731,317,773,010,937,575,016,377,795,508,454,253,293,540,
037,248,370,879,208,091,906,242,917,774,588,219,239,760,866,167,602,608,387,
187,932,504,199,747,120,456,056,971,213,652,112,126,153,596,514,507,882,190,
724,545,746,625,441,660,010,078,406,324,044,553,523,270,395,173,651,880,312,
385,081,221,802,945,727,992,398,047,574,144,978,923,945,531,248,298,915,723,
580,409,196,148,015,567,675,646,297,863,840,273,805,707,179,309,923,047,524,
047,228,921,519,221,851,469,165,220,129,910,884,821,537,372,862,335,930,159,
040,157,825,824,733,584,333,798,475,338,074,367,253,090,191,393,342,487,804,
231,859,734,916,768,639,387,426,841,484,559,577,118,028,375,337,315,559,794,
713,821,256,226,616,225,834,314,373,980,994,757,822,138,691,365,313,878,967,
236,125,696,394,661,612,016,101,466,676,174,624,421,052,011,497,374,243,274,
484,884,101,791,932,632,495,349,703,465,503,327,120,550,097,601,814,211,081,
776,373,494,839,965,759,148,023,305,470,986,879,763,584,084,183,171,370,666,
279,416,788,428,599,421,342,053,430,966,024,052,566,801,518,176,815,332,416,
239,375,079,330,906,090,205,962,035,194,561,883,575,353,525,991,277,236,471,
641,614,805,745,269,780,368,831,889,127,225,645,545,143,695,115,595,510,620,
836,666,365,200,523,098,584,885,450,122,885,627,181,527,546,706,729,863,104,
984,260,259,629,263,605,449,364,138,336,688,829,039,341,186,271,772,665,197,
120,887,322,645,799,046,923,956,028,107,322,313,493,716,229,418,001,663,920,
231,266,692,746,013,143,905,701,546,343,357,493,784,678,526,404,500,585,962,
595,136,721,719,085,732,166,835,100,994,418,412,150,742,222,185,767,773,975,
475,761,094,173,898,612,331,534,818,500,798,360,348,258,534,264,261,453,189,
848,617,383,135,915,164,454,216,062,240,280,973,736,747,092,213,180,491,934,
833,565,450,261,895,536,231,917,718,810,049,305,020,470,550,970,299,332,395,
227,871,575,158,323,631,400,975,103,061,140,997,221,992,091,801,746,452,828,
229,362,744,900,905,396,986,149,574,983,129,230,710,265,815,755,612,068,142,
061,464,423,872,605,982,901,682,858,349,833,616,357,540,750,571,458,616,344,
608,871,877,155,370,319,899,728,014,500,538,085,731,925,654,736,744,642,274,
205,666,916,090,466,900,639,514,651,335,693,627,929,129,024,259,983,936,452,
934,053,939,805,529,910,600,416,310,110,676,941,218,637,536,774,403,106,671,
893,712,580,899,398,637,551,604,729,611,646,946,048,816,364,862,469,638,209,
396,192,534,468,027,650,823,456,090,730,123,091,013,982,090,793,107,805,296,
657,519,131,036,779,646,993,862,990,796,406,863,761,684,679,133,674,785,358,
554,425,592,091,431,099,247,943,064,814,532,081,247,705,989,784,205,381,366,
117,555,557,957,239,555,793,054,943,353,253,962,049,970,091,960,803,116,346,
002,896,708,765,250,487,331,085,043,958,914,498,352,349,725,153,148,996,539,
411,801,244,768,124,450,604,951,828,438,355,635,054,828,385,392,435,847,604,
557,571,904,812,029,400,950,521,516,487,604,130,487,339,670,937,463,616,219,
912,355,575,417,623,991,849,574,624,972,539,951,802,981,516,643,530,772,913,
783,609,719,478,713,523,624,445,188,438,925,970,405,583,883,325,474,389,292,
603,576,185,310,348,563,096,768,259,851,551,069,804,075,085,696,426,777,617,
004,554,407,922,233,523,907,110,882,470,843,811,214,316,558,119,357,531,570,
491,703,043,376,716,443,380,362,661,622,716,219,264,240,036,117,328,249,056,
322,384,069,273,493,191,938,734,132,694,146,360,513,815,956,056,561,076,234,
069,699,387,862,356,165,358,771,747,022,386,120,372,789,600,693,254,117,284,
073,259,651,774,331,419,355,969,460,493,608,045,374,295,157,642,733,969,656,
718,636,552,191,641,807,406,679,114,016,243,129,200,525,567,238,255,819,242,
156,239,470,548,094,978,929,701,804,619,858,774,366,174,575,006,422,455,344,
458,945,141,758,902,702,715,040,197,176,742,844,642,878,402,812,188,830,501,
610,836,043,796,892,493,834,316,381,586,866,317,031,657,935,525,357,586,902,
985,863,493,384,809,413,051,886,659,082,524,629,722,992,563,605,168,550,531,
446,379,995,747,867,603,367,966,708,780,601,301,770,045,435,581,110,103,835,
950,833,719,558,091,722,211,373,316,490,168,013,621,267,843,205,601,920,592,
683,695,754,748,903,959,381,575,687,375,955,788,666,247,529,731,363,831,350,
795,615,639,082,680,087,399,503,025,539,894,619,692,811,382,714,996,868,134,
886,924,229,805,691,572,912,360,942,694,725,520,016,101,699,205,021,365,379,
044,744,815,976,645,308,294,155,786,926,933,621,705,370,711,474,030,802,127,
866,833,795,179,942,606,613,437,615,710,012,095,651,201,081,049,112,173,477,
888,003,711,183,859,788,649,230,001,552,262,084,898,055,764,984,084,549,576,
413,512,509,788,496,904,471,529,503,323,268,127,086,409,413,840,879,666,444,
278,969,678,243,032,816,767,013,532,499,967,843,600,039,601,504,436,890,764,
571,686,156,697,956,955,919,977,075,678,069,120,515,731,882,393,357,225,504,
566,088,175,975,841,020,753,250,048,877,537,144,019,097,838,445,336,802,120,
457,819,504,064,270,407,182,717,337,200,207,233,839,946,347,820,970,284,883,
187,207,770,392,202,930,270,632,886,020,155,541,942,338,405,601,142,043,139,
701,887,356,361,446,915,333,165,664,048,689,349,723,313,084,683,315,422,541,
229,703,515,894,551,370,471,842,454,708,898,450,661,351,562,376,835,431,700,
599,841,377,615,343,067,402,906,031,515,290,340,159,676,792,674,995,138,662,
918,015,997,165,064,912,287,734,950,625,770,505,864,376,381,369,802,920,401,
734,805,131,666,924,862,301,853,494,385,765,199,736,459,877,182,562,918,420,
189,319,839,668,475,121,958,024,755,127,972,966,195,193,281,433,214,904,058,
596,076,446,602,353,955,670,936,159,832,222,968,142,788,993,168,364,972,755,
537,073,121,044,605,778,186,158,434,997,460,758,512,469,849,776,575,443,759,
457,864,830,466,164,627,501,519,357,000,486,307,460,287,714,826,884,207,414,
081,816,315,941,768,825,909,870,617,102,496,465,764,400,561,374,881,059,346,
217,597,075,095,307,048,277,203,648,138,769,167,976,224,160,520,303,436,604,
923,951,139,171,080,466,529,825,408,058,648,816,927,628,263,210,577,932,831,
419,987,710,748,818,142,164,809,384,064,257,305,590,077,843,824,717,536,334,
272,100,888,058,606,895,171,213,104,938,848,517,909,084,326,938,766,268,656,
496,045,693,424,002,541,508,152,631,401,272,400,801,010,694,012,383,756,520,
063,549,134,954,717,112,732,175,223,513,679,884,571,632,353,481,375,941,876,
398,511,306,096,689,492,591,784,400,360,304,428,523,155,568,982,590,670,039,
984,590,284,761,662,406,327,814,390,635,124,943,609,162,263,932,750,401,638,
663,830,648,869,839,743,298,275,949,387,993,917,432,720,698,771,978,096,263,
270,812,923,941,781,255,303,604,571,188,925,773,793,406,464,115,861,987,002,
590,142,265,383,174,110,436,259,353,969,149,568,378,717,151,556,524,826,929,
347,576,731,003,479,575,648,432,772,570,845,338,569,456,958,004,007,058,164,
781,201,617,487,347,124,257,518,751,228,857,062,551,717,316,919,969,536,826,
856,951,784,300,242,644,581,044,700,825,813,135,215,360,712,595,264,211,183,
220,554,613,194,883,520,835,131,949,110,090,532,680,500,577,596,889,915,637,
781,092,634,127,196,469,097,844,483,891,576,913,449,058,228,510,971,976,047,
810,713,968,082,594,756,444,065,142,185,293,866,296,229,817,538,768,841,968,
926,925,907,691,236,947,914,243,945,125,888,303,406,608,319,460,477,653,944,
537,006,359,791,842,599,596,482,032,075,929,093,324,231,774,112,879,050,303,
531,291,421,249,854,746,297,991,224,074,517,547,372,194,877,744,626,226,260,
327,417,116,755,848,291,022,215,917,529,133,892,899,618,063,774,117,630,867,
899,657,751,438,938,740,477,022,789,418,022,937,815,052,586,854,330,806,949,
279,286,815,434,628,175,486,359,419,807,921,771,207,714,513,811,499,622,752,
698,495,257,105,296,287,536,338,881,997,246,249,603,501,773,950,447,687,562,
690,416,394,400,956,462,539,639,841,882,029,196,685,258,259,347,380,414,101,
006,484,933,930,725,406,182,319,764,853,425,063,569,312,986,064,494,180,917,
786,712,289,490,726,789,015,145,084,954,227,207,111,453,576,390,993,116,523,
736,705,295,417,429,026,147,635,206,719,097,316,456,137,671,278,228,187,301,
220,133,979,334,430,726,978,928,006,423,480,836,643,760,715,560,916,123,353,
947,096,380,279,259,853,255,877,552,040,120,974,480,110,827,862,306,811,211,
511,870,794,040,402,311,196,984,307,357,873,347,333,968,859,645,010,165,193,
858,291,720,350,275,289,202,027,402,555,874,897,745,220,586,049,005,426,019,
352,065,724,503,921,638,618,948,225,657,955,476,489,741,629,636,819,128,803,
087,122,974,097,143,961,227,806,757,984,485,641,703,657,187,736,581,183,264,
995,755,067,271,032,605,609,167,601,799,457,608,595,257,228,740,145,399,554,
724,450,299,154,840,181,944,919,485,072,320,515,722,664,992,841,920,020,307,
228,817,193,631,590,923,237,403,490,635,147,690,281,359,604,926,082,746,020,
163,749,358,762,071,823,561,585,964,414,526,465,414,224,019,883,466,734,400,
900,780,039,225,684,834,567,965,393,836,471,431,303,166,261,322,814,698,051,
711,498,531,961,880,224,367,521,320,553,798,280,799,326,764,155,488,319,150,
337,142,271,564,217,889,517,579,536,376,451,662,504,614,219,461,290,636,529,
397,968,770,529,168,010,045,733,807,915,188,526,620,967,903,746,750,581,532,
092,392,228,739,967,669,986,619,263,001,707,765,290,678,024,826,754,387,010,
370,262,298,653,681,077,595,044,802,302,327,181,288,222,268,454,363,145,427,
073,486,523,945,334,475,276,977,336,438,353,917,934,157,888,051,277,448,402,
275,325,154,946,847,249,832,377,834,020,383,349,772,332,420,985,422,442,797,
622,605,897,906,375,251,972,014,172,136,800,948,816,611,749,760,470,552,928,
561,736,794,346,610,178,720,816,322,014,446,133,625,437,002,792,354,290,937,
037,490,392,414,460,535,665,153,191,311,012,448,474,060,042,884,697,550,126,
960,306,353,324,416,619,188,280,973,939,907,770,212,795,662,269,910,180,627,
551,467,615,789,321,054,729,811,262,920,723,264,204,627,749,707,521,209,447,
118,527,835,360,472,796,168,902,287,619,470,012,111,093,290,145,599,398,328,
494,940,517,091,577,749,830,421,701,200,979,082,308,950,913,494,423,094,907,
881,990,972,514,061,326,414,144,154,600,996,905,026,101,743,308,849,901,033,
678,356,009,273,341,510,113,863,699,315,183,743,616,448,163,065,399,650,021,
981,172,632,697,196,447,668,415,902,624,535,837,044,198,335,601,815,213,627,
299,320,690,620,130,338,073,160,414,919,059,106,877,473,592,662,420,915,922,
943,791,932,775,138,601,247,254,951,340,561,948,211,137,026,026,433,590,981,
171,022,389,253,247,849,650,361,687,480,448,645,140,521,825,386,695,326,153,
173,568,021,950,272,435,487,737,145,844,233,513,706,871,588,254,243,581,398,
741,776,733,030,356,793,723,447,310,492,936,966,133,561,434,775,362,495,608,
740,457,943,307,775,258,872,894,961,408,770,132,207,192,223,373,553,283,222,
758,282,630,778,119,838,755,364,307,569,266,809,982,332,126,991,755,822,236,
495,473,190,701,868,418,619,221,672,778,891,743,278,914,926,668,880,885,585,
771,981,445,580,487,138,617,578,354,222,670,701,865,384,544,371,451,667,382,
267,910,948,071,258,238,726,856,125,865,379,171,412,717,840,358,067,521,125,
819,686,658,232,034,778,824,533,394,884,324,690,468,564,852,255,771,255,071,
953,690,279,748,195,007,739,920,883,647,339,987,652,920,007,043,802,406,490,
761,666,292,443,624,920,539,987,669,031,670,801,560,228,080,247,843,985,568,
859,826,967,518,227,117,176,833,130,915,946,657,958,991,850,159,973,880,129,
951,600,644,972,459,838,206,563,711,813,360,839,198,116,838,860,500,525,569,
977,921,707,274,008,759,682,972,100,281,754,441,367,175,765,563,519,039,757,
263,634,466,882,908,889,754,882,044,040,131,608,578,231,529,288,736,159,404,
651,849,020,602,248,310,940,559,926,216,354,272,393,189,802,752,109,826,607,
296,320,854,201,982,375,239,292,475,042,127,679,270,333,315,029,994,563,521,
767,595,614,424,543,745,954,555,837,847,279,936,478,219,507,071,528,202,836,
162,661,853,916,764,615,145,843,841,241,571,135,901,587,813,316,517,442,701,
168,401,912,636,665,610,150,850,851,799,148,282,686,611,485,474,743,602,210,
425,058,269,901,323,822,514,260,583,407,355,665,882,330,548,403,216,099,194,
337,327,249,152,267,336,551,372,563,064,730,424,781,435,996,507,438,002,370,
903,101,093,630,155,757,390,297,552,855,936,057,438,818,994,894,704,159,655,
711,512,529,240,374,836,883,092,090,725,984,156,562,880,326,551,619,255,898,
591,468,615,636,139,991,664,227,226,626,223,646,628,026,511,408,457,492,917,
783,059,372,115,622,801,798,189,451,637,345,322,572,221,616,743,548,225,020,
110,916,964,098,704,201,963,081,263,361,029,625,571,496,412,762,518,036,956,
248,964,261,336,416,035,393,758,640,816,621,980,901,697,432,576,966,595,145,
288,486,287,166,766,429,497,030,497,149,233,260,606,572,545,266,380,741,130,
771,140,787,571,360,969,160,825,664,667,336,164,348,623,367,598,078,700,589,
046,365,005,509,905,044,107,431,749,491,139,150,950,165,793,545,641,682,389,
671,291,689,437,571,299,423,408,674,025,995,564,546,179,558,776,074,179,608,
565,330,773,444,241,167,408,654,696,346,678,126,366,896,656,542,571,523,313,
461,222,991,373,584,867,891,275,637,299,408,515,022,493,780,989,017,406,474,
592,223,940,621,080,491,719,225,678,969,792,222,473,273,332,768,680,438,350,
067,275,142,675,101,600,609,442,805,710,530,541,483,769,426,650,255,589,622,
934,765,806,635,614,887,827,373,019,876,836,093,082,415,765,238,130,238,932,
077,764,847,644,902,806,741,445,112,527,063,336,383,426,162,307,560,462,141,
025,112,954,648,307,883,707,413,210,175,430,564,912,332,810,614,875,382,520,
391,904,245,150,070,203,430,171,395,484,875,083,434,522,678,707,459,639,613,
235,465,162,559,268,724,793,320,959,688,605,530,433,454,270,861,810,577,707,
287,653,229,422,068,156,418,650,687,643,424,142,546,908,122,743,369,032,727,
456,856,814,160,887,292,197,389,617,559,894,381,472,224,414,322,530,520,649,
411,478,849,563,943,281,653,899,119,761,881,970,735,521,918,493,551,025,390,
231,843,240,842,262,377,581,487,509,666,505,537,234,240,581,147,337,243,460,
486,034,969,487,241,690,611,362,390,667,496,141,030,160,970,328,904,516,175,
331,827,542,039,895,035,333,981,567,272,502,663,765,613,457,872,224,713,378,
979,703,801,985,979,862,116,430,865,789,911,797,883,730,510,837,797,959,429,
179,477,415,595,031,755,578,868,454,433,595,141,285,120,552,721,488,647,947,
641,583,769,613,234,823,012,623,683,885,239,071,521,231,952,516,440,102,164,
886,844,844,419,647,024,266,257,823,297,700,569,720,299,526,503,462,486,379,
344,488,247,386,715,706,896,877,038,490,689,236,252,102,328,927,138,574,784,
266,364,618,986,379,711,332,794,291,774,713,925,908,029,685,623,774,090,022,
230,171,151,363,910,797,824,093,653,383,029,488,710,816,785,269,899,021,202,
320,291,363,301,781,438,435,563,296,408,986,459,921,011,606,024,606,710,355,
177,121,846,875,848,017,678,021,461,364,547,369,411,134,218,949,613,590,315,
514,805,129,689,893,536,706,288,002,540,670,796,205,056,390,103,395,892,280,
036,419,786,191,936,008,609,577,671,902,058,300,295,344,501,062,586,066,557,
974,971,420,382,274,967,114,165,893,050,904,515,521,880,040,064,444,425,841,
504,367,265,880,676,227,915,324,607,565,071,650,100,908,488,885,018,383,364,
436,653,707,530,831,383,322,361,076,699,004,109,855,563,078,031,097,280,927,
579,176,038,408,159,738,442,788,152,534,882,628,471,720,117,298,463,379,631,
383,583,462,381,543,072,271,439,422,309,250,234,753,562,672,519,560,472,939,
980,021,949,879,042,465,322,839,833,064,549,773,180,165,693,052,574,403,643,
617,189,366,725,279,597,324,318,148,743,547,951,023,797,450,073,840,800,051,
879,573,223,524,150,598,362,484,588,122,896,728,210,866,883,213,311,063,385,
756,627,287,105,666,982,818,183,218,838,794,823,706,042,860,819,804,753,219,
025,468,002,557,489,055,181,248,263,909,197,544,105,478,829,272,177,003,891,
641,048,998,991,300,850,475,981,143,339,528,673,581,693,180,973,890,866,988,
046,837,509,373,750,214,246,199,754,894,595,512,957,328,372,646,644,954,167,
225,816,509,039,708,173,516,840,670,067,966,206,286,975,904,430,285,112,862,
353,284,601,309,501,278,519,830,131,464,870,519,524,061,453,836,521,674,901,
141,656,215,413,798,401,520,418,880,889,498,513,610,965,220,905,761,423,213,
948,789,156,740,148,361,514,723,746,886,995,374,483,247,416,186,845,019,199,
233,568,043,854,113,274,387,470,833,880,433,123,810,765,356,400,719,167,343,
013,376,468,773,355,958,415,764,326,141,728,539,432,763,528,502,423,161,134,
194,787,223,049,214,252,881,206,533,359,191,507,882,206,711,803,134,877,681,
840,036,783,785,424,897,088,939,503,620,434,701,296,100,974,460,904,983,465,
231,672,816,174,998,927,646,008,250,898,520,632,257,088,339,710,849,535,413,
329,417,274,487,872,835,886,234,443,808,650,369,991,698,304,004,715,761,833,
483,675,413,253,607,961,122,018,199,547,129,333,435,724,450,949,947,939,524,
900,722,239,191,894,470,730,764,287,668,816,252,720,977,497,699,896,490,890,
254,997,710,086,787,642,460,658,428,887,359,680,856,296,361,052,271,514,583,
706,448,227,835,653,505,246,881,465,894,754,671,439,430,110,365,107,591,128,
192,042,404,902,751,903,707,246,262,703,406,748,454,758,746,021,025,743,171,
600,844,755,299,870,266,289,460,940,462,353,477,434,049,616,058,437,297,048,
033,853,056,777,509,323,804,193,801,811,722,183,994,185,419,170,015,505,117,
390,204,129,054,849,736,502,521,179,084,127,610,579,637,353,970,778,611,511,
092,514,005,563,079,026,358,332,320,524,428,184,558,016,863,951,048,476,860,
454,618,833,232,559,732,608,899,703,130,495,127,468,601,463,016,337,215,317,
572,840,862,915,713,255,119,303,639,344,622,881,308,294,120,598,972,050,469,
513,086,459,946,852,538,526,003,945,920,399,201,037,481,727,670,782,748,508,
109,079,284,734,773,580,779,622,270,605,396,555,423,606,159,552,050,706,965,
417,599,621,321,204,358,423,426,013,605,972,044,532,832,591,259,107,039,834,
519,971,817,483,527,630,266,827,143,291,647,800,860,391,508,779,810,075,314,
782,761,580,467,093,133,671,796,970,048,982,153,859,787,647,998,087,265,085,
239,428,224,443,642,118,763,468,838,724,165,551,059,482,615,770,697,466,668,
451,932,379,585,008,993,262,007,042,047,488,697,529,638,288,780,036,013,081,
653,471,232,983,151,617,682,393,117,279,492,061,612,017,964,357,664,502,446,
933,950,955,631,886,326,677,026,916,785,890,885,051,431,095,118,871,082,592,
973,941,455,016,143,167,076,012,929,184,869,871,206,335,773,557,311,328,712,
914,623,964,199,740,586,628,123,811,511,617,874,198,661,903,844,867,181,678,
384,971,315,202,458,720,182,115,214,770,041,822,253,543,291,025,879,423,156,
536,965,582,838,381,573,350,554,166,066,479,124,219,516,780,679,595,321,889,
914,029,949,300,615,296,132,481,523,819,490,511,659,156,206,957,269,403,677,
504,267,905,921,592,088,614,735,574,636,396,098,101,952,619,515,496,077,293,
785,275,897,376,942,682,364,651,885,796,897,100,258,653,524,044,336,957,451,
649,211,137,444,589,576,348,381,750,891,463,099,053,362,972,453,371,203,970,
065,894,137,899,870,612,427,750,966,457,316,739,838,628,943,102,157,919,840,
588,672,018,142,305,600,031,108,429,193,514,342,853,746,094,245,194,914,804,
079,743,257,128,762,227,663,133,161,799,407,325,014,785,289,088,583,072,455,
507,078,189,170,867,261,188,105,878,240,675,883,192,751,170,580,696,813,661,
976,955,783,008,660,832,790,084,884,137,540,620,187,360,222,493,948,993,380,
650,723,905,544,186,025,680,532,830,528,679,380,529,846,649,258,570,744,464,
097,210,351,565,601,012,159,254,600,007,573,950,446,113,030,501,075,521,642,
668,436,151,904,353,724,100,318,976,661,989,795,932,409,116,069,821,003,064,
086,517,278,239,823,595,096,185,540,642,515,378,401,843,268,807,910,275,759,
792,551,663,082,833,190,871,490,538,364,194,490,509,285,103,790,265,497,288,
119,831,778,291,171,876,996,309,969,156,233,233,313,365,348,849,253,751,521,
237,491,003,934,355,276,619,795,319,574,871,052,570,713,210,789,166,783,149,
868,835,157,293,290,115,340,303,382,810,641,136,658,632,384,823,614,993,300,
178,921,199,002,826,717,543,414,050,667,195,428,592,607,001,906,638,261,616,
239,445,665,988,982,239,941,722,904,101,077,908,853,249,537,932,381,198,684,
961,233,024,498,787,865,022,434,738,313,556,287,748,298,083,780,318,338,879,
951,287,910,206,420,271,550,716,286,026,719,904,640,176,993,193,344,975,144,
115,957,414,066,340,493,670,668,471,747,583,084,771,888,292,775,946,997,634,
839,561,781,834,107,884,220,542,912,354,148,767,342,566,780,934,167,167,438,
749,179,408,349,769,364,498,086,449,268,522,387,095,717,168,391,083,152,594,
580,306,407,597,461,593,967,635,788,675,198,468,174,315,447,309,217,440,079,
222,009,777,318,763,635,386,437,143,125,355,287,937,612,091,405,224,019,826,
094,522,320,372,173,627,676,537,584,779,596,919,211,571,598,799,773,280,261,
412,942,822,141,164,133,366,259,017,881,003,412,044,171,832,460,798,502,658,
258,198,844,206,932,972,859,924,663,412,767,231,004,502,182,407,654,785,077,
983,119,947,825,101,934,296,472,644,260,101,546,247,294,440,973,710,747,470,
158,366,842,310,584,484,450,138,783,804,017,643,912,932,853,495,464,131,987,
106,652,978,657,633,782,507,118,083,020,164,405,780,344,302,020,063,376,522,
104,444,453,851,061,491,514,915,201,373,747,798,841,209,524,875,163,970,645,
705,492,780,103,877,398,559,035,103,812,546,061,128,937,401,004,302,167,923,
879,029,717,275,788,663,156,536,647,861,163,022,294,690,450,826,620,838,476,
637,037,475,153,063,009,461,797,652,190,921,415,845,286,094,903,822,521,406,
315,884,503,366,543,280,015,925,637,269,475,160,677,843,959,189,393,930,008,
612,456,182,635,016,452,800,343,601,468,823,599,130,176,108,432,227,245,843,
471,684,338,343,536,537,582,846,253,836,953,251,604,503,101,188,287,576,432,
691,395,603,039,745,557,717,189,448,661,212,437,559,004,377,554,508,131,925,
735,499,447,219,121,897,042,228,282,247,249,890,533,718,121,904,698,301,800,
926,511,809,359,106,638,146,811,003,627,994,101,719,455,497,638,887,129,048,
585,160,010,568,879,963,756,601,169,586,185,383,718,601,760,064,189,814,093,
553,200,381,295,233,429,974,905,815,943,778,539,171,632,527,255,435,376,358,
226,776,894,323,269,886,869,308,397,903,530,287,998,856,308,609,571,743,175,
291,753,813,001,590,986,986,479,433,287,238,539,979,442,157,172,512,852,929,
616,711,341,550,545,466,821,997,433,128,195,186,608,788,399,306,613,356,267,
637,659,567,704,801,814,406,568,838,998,974,568,621,295,451,173,373,017,051,
085,281,289,238,329,423,362,810,399,946,502,672,646,509,151,661,628,770,342,
482,552,316,849,223,385,764,787,019,468,255,437,779,814,233,999,811,849,955,
811,733,089,150,072,981,115,224,011,908,870,657,261,489,194,348,428,572,909,
856,208,101,936,731,209,076,035,565,332,855,918,042,465,064,722,211,595,911,
503,143,087,571,486,052,821,343,023,327,925,648,593,191,181,053,069,870,402,
762,601,849,806,802,064,295,361,129,583,480,100,540,001,202,811,432,355,420,
752,092,878,452,122,708,349,367,631,755,323,867,734,855,990,571,336,020,069,
380,406,481,682,167,878,704,596,695,333,681,951,597,023,657,874,811,185,192,
427,824,015,666,740,277,197,799,755,496,399,663,984,838,388,279,841,535,198,
247,992,919,105,569,724,964,675,021,698,767,110,058,671,294,843,021,527,910,
600,470,250,887,835,262,226,738,485,495,223,775,457,471,382,663,821,776,116,
331,523,796,212,250,480,365,955,069,217,952,716,672,202,133,151,498,550,849,
356,352,171,430,089,534,489,633,334,730,096,200,602,620,713,484,800,115,411,
684,737,398,091,271,580,339,431,662,486,671,556,315,880,452,618,552,351,932,
391,261,652,324,829,099,878,873,292,966,523,575,759,148,717,494,505,819,160,
207,273,363,128,144,169,448,627,805,203,468,162,886,558,617,373,450,796,060,
036,434,262,963,710,900,658,310,487,494,279,262,714,336,749,593,549,141,978,
878,709,464,533,547,261,546,962,988,018,860,327,923,609,668,224,791,337,559,
398,615,950,887,176,235,680,822,681,505,738,294,793,222,703,825,639,104,829,
740,096,789,125,290,333,327,432,239,358,333,388,006,272,344,033,821,279,914,
046,697,848,142,005,073,105,730,019,435,219,207,778,892,325,726,055,019,738,
962,035,085,748,854,600,087,518,519,080,623,809,085,709,468,812,978,460,406,
799,762,805,048,108,113,132,750,378,612,887,499,637,382,697,934,290,882,200,
881,999,464,000,105,919,443,861,809,957,854,594,808,888,307,253,275,831,256,
070,075,649,212,468,716,716,066,257,311,556,559,597,141,749,605,452,324,560,
641,173,100,585,410,475,588,407,221,091,270,326,814,147,733,253,813,902,613,
049,274,205,882,666,190,059,833,549,043,736,581,063,414,925,674,747,589,749,
867,999,459,311,343,981,341,453,582,254,002,650,053,949,087,529,347,825,580,
974,080,918,838,608,953,582,605,916,321,533,002,686,593,351,627,579,120,831,
191,758,625,458,866,947,187,336,090,342,373,754,640,374,719,676,883,285,707,
376,875,569,306,665,953,443,343,779,217,465,826,364,490,684,871,993,810,498,
212,660,763,653,921,735,377,587,399,382,509,290,549,276,207,036,342,565,850,
623,512,125,959,414,193,738,327,810,117,635,052,214,291,623,224,079,779,183,
483,721,800,043,157,393,272,820,789,595,449,529,925,111,148,494,569,962,579,
037,700,412,343,522,803,008,612,920,635,499,397,177,741,842,296,486,249,352,
369,650,448,465,897,900,409,763,199,362,560,539,246,692,368,078,068,637,011,
719,623,449,867,578,393,230,499,367,652,407,768,722,191,238,736,845,438,235,
908,560,058,014,853,701,247,673,024,698,369,149,816,207,277,433,051,673,344,
178,568,689,634,490,393,976,310,126,830,203,166,102,466,096,133,561,263,221,
114,961,859,513,820,555,138,890,551,204,647,460,126,738,167,507,832,873,176,
826,968,157,445,755,070,083,318,767,840,056,611,218,393,789,033,621,825,444,
484,444,000,274,589,797,738,597,327,627,817,659,294,134,176,462,590,082,110,
394,188,915,219,719,025,136,324,758,689,081,214,224,103,921,090,350,722,178,
990,129,521,483,807,925,160,054,536,344,393,613,308,452,065,152,875,191,204,
252,898,837,863,142,812,114,842,657,780,978,148,774,050,095,386,339,791,483,
065,550,057,473,567,319,798,751,998,790,216,516,537,557,699,276,102,343,723,
700,249,858,322,333,075,653,867,181,160,785,529,847,955,427,589,889,300,582,
668,647,925,318,216,942,550,582,919,554,578,615,708,273,737,094,317,343,839,
236,588,577,844,050,455,481,062,568,576,448,953,716,694,395,787,441,044,923,
247,839,742,302,557,222,108,689,309,854,510,073,931,252,276,613,462,499,473,
858,390,764,854,410,913,746,052,936,124,043,656,182,023,928,490,931,497,189,
144,964,836,926,710,721,401,471,602,910,885,142,258,071,105,337,440,960,641,
793,365,970,174,600,357,111,136,538,771,596,174,412,334,970,743,552,423,037,
358,496,079,668,297,123,260,803,703,735,237,790,457,373,983,352,647,271,713,
810,419,893,097,301,338,429,084,357,335,626,642,153,757,317,658,580,802,649,
576,576,304,445,454,005,983,966,375,688,075,178,380,335,193,479,059,687,751,
158,071,644,092,906,529,945,504,242,600,321,474,391,748,514,639,688,799,979,
344,141,834,958,017,250,791,636,192,569,967,744,403,869,282,092,278,127,136,
248,291,021,742,962,348,177,784,835,254,747,345,356,649,920,521,672,616,712,
621,144,389,224,313,519,396,780,067,933,212,098,660,431,526,782,652,626,007,
479,714,891,530,800,986,149,080,327,565,853,088,883,996,465,244,658,176,562,
209,295,863,076,256,325,296,278,794,868,534,555,508,413,623,013,471,427,840,
068,969,681,354,849,708,637,702,457,168,154,861,208,697,545,257,902,519,690,
276,691,152,827,208,734,061,637,928,488,871,893,820,673,323,597,183,339,774,
140,999,058,965,086,146,949,450,538,256,643,282,180,097,113,695,820,638,115,
327,858,271,804,930,598,709,608,889,577,185,362,206,660,758,146,385,001,768,
105,895,390,814,506,756,575,755,168,193,209,694,232,619,950,562,305,382,901,
032,062,684,520,608,011,334,806,307,475,062,158,591,443,612,464,811,691,048,
590,398,510,057,036,011,980,583,690,666,679,318,545,230,404,321,886,402,432,
803,599,840,119,536,709,504,503,640,055,918,457,438,903,110,723,043,161,129,
322,431,768,173,706,610,197,948,728,295,989,074,315,587,540,947,046,354,162,
686,655,654,833,624,003,821,272,565,247,151,262,162,585,938,507,313,905,230,
950,520,982,485,751,395,090,014,742,715,362,850,466,482,836,338,088,664,356,
595,577,986,971,368,560,849,430,856,946,066,684,321,093,488,552,444,049,554,
286,533,250,091,843,597,796,395,118,433,623,880,415,328,927,894,282,540,130,
048,630,643,878,287,820,643,284,264,580,596,086,105,200,703,289,306,498,245,
324,505,209,887,158,881,256,115,712,926,355,891,749,166,994,496,252,894,071,
808,615,419,051,681,707,731,905,147,732,568,270,862,302,258,702,401,513,606,
895,676,189,404,903,113,333,740,790,428,646,584,412,414,257,289,099,612,745,
938,681,297,008,126,421,835,044,429,838,799,884,029,856,121,907,567,733,520,
408,647,904,132,142,218,615,224,962,911,799,109,449,407,718,194,668,266,973,
109,122,838,949,047,323,874,388,624,303,913,420,390,224,689,294,164,035,358,
222,842,856,124,567,915,342,218,572,123,412,858,391,283,132,235,226,077,508,
014,205,881,551,431,964,345,971,851,129,046,950,058,850,362,490,960,045,448,
539,064,722,100,990,392,755,043,146,520,612,417,184,494,489,613,266,901,416,
740,675,830,296,229,683,655,270,204,903,805,681,909,864,231,963,222,798,674,
054,887,008,118,019,465,190,178,380,204,659,792,172,469,192,998,342,356,969,
714,153,882,786,694,232,930,140,406,636,915,492,261,250,136,983,108,395,786,
383,154,463,266,480,374,433,660,920,265,707,564,223,651,664,306,846,281,048,
865,888,480,130,646,651,094,836,174,369,528,811,778,160,721,522,940,658,486,
486,431,191,112,772,227,574,955,863,759,692,081,864,402,939,892,624,031,668,
271,661,130,224,694,557,059,950,031,842,664,886,256,420,184,286,509,855,557,
583,638,875,718,321,483,086,970,301,570,610,740,072,076,172,357,687,354,386,
982,652,329,589,913,275,109,171,904,275,507,397,017,106,170,865,476,240,696,
257,447,732,949,010,269,693,840,547,247,234,526,863,016,487,588,153,737,780,
622,581,193,100,984,722,039,810,235,974,769,401,726,900,341,456,616,516,339,
286,106,714,935,493,103,922,608,662,279,541,078,693,745,769,409,760,950,283,
671,240,018,368,238,936,498,453,101,582,663,211,377,592,573,555,403,036,615,
352,852,507,860,569,432,718,937,625,667,763,966,288,556,758,227,324,771,269,
670,871,181,196,028,636,659,123,579,748,820,081,833,976,474,452,488,774,557,
306,617,253,349,615,553,136,424,248,810,943,675,793,980,308,516,327,175,249,
936,459,236,088,948,357,766,197,025,352,270,169,370,242,181,389,976,356,936,
034,868,442,862,682,141,420,363,113,462,093,679,149,512,676,139,555,174,950,
124,836,421,326,870,073,060,542,708,822,152,625,394,637,631,838,114,033,136,
779,916,238,182,548,257,417,389,682,300,250,087,692,574,655,206,205,231,316,
268,001,533,698,664,199,078,388,805,391,612,534,091,840,270,556,048,472,904,
911,468,975,122,163,895,912,149,185,895,726,249,537,772,488,926,066,681,938,
117,411,854,270,750,028,893,801,245,230,805,435,920,208,899,287,189,280,172,
177,193,320,240,134,089,892,456,446,210,851,810,713,021,957,060,688,830,620,
585,677,664,098,593,113,412,464,125,444,325,621,107,988,114,083,497,606,157,
485,071,518,822,373,991,349,860,495,677,061,750,378,164,199,017,123,649,550,
823,570,023,831,982,516,639,296,232,133,202,125,202,777,858,892,519,248,133,
179,773,855,185,720,317,601,549,196,974,387,874,977,024,823,856,128,557,443,
452,952,463,886,759,913,934,782,330,377,558,171,262,862,463,925,827,846,218,
894,515,647,427,833,722,161,492,208,986,960,027,835,017,054,529,930,178,811,
170,343,391,721,043,250,296,332,760,626,640,450,080,213,088,840,407,779,432,
756,514,114,262,128,750,645,120,680,776,995,260,496,412,400,008,400,277,687,
273,536,078,087,347,812,556,481,817,446,216,823,962,979,314,833,074,367,791,
111,494,161,348,601,185,568,042,461,298,381,585,876,592,386,294,756,399,772,
546,904,368,692,614,487,306,019,213,827,353,451,583,415,780,721,263,473,584,
082,086,031,923,180,240,531,316,210,016,488,789,234,725,501,797,744,502,573,
125,337,798,503,796,859,319,177,986,432,043,853,948,389,248,932,299,510,993,
929,724,329,839,529,504,609,858,592,987,360,291,750,430,821,250,032,514,061,
510,091,477,548,458,158,885,438,991,184,799,708,646,080,174,328,649,213,220,
483,072,590,671,750,870,328,218,676,418,023,663,534,274,921,648,474,324,671,
145,814,055,311,285,781,848,253,235,832,297,549,510,405,106,199,841,985,944,
982,542,337,719,965,525,452,516,616,256,074,547,467,982,643,567,886,219,057,
642,157,679,760,576,368,880,561,608,484,698,185,257,401,590,530,282,519,156,
196,931,788,159,903,368,528,180,296,025,327,042,255,501,719,116,245,731,429,
621,810,043,738,483,146,578,404,370,726,095,410,733,680,038,068,494,552,265,
979,843,322,325,607,576,988,636,740,393,016,164,656,735,188,236,377,721,960,
299,556,926,209,588,879,254,963,182,302,643,942,346,578,411,331,757,029,404,
800,089,608,967,752,578,134,070,890,608,400,201,080,679,781,924,135,601,882,
256,998,024,507,452,154,244,181,153,437,303,013,614,071,250,848,874,130,321,
754,743,622,248,161,728,706,940,387,048,361,678,860,332,890,764,446,749,886,
878,873,547,976,344,583,970,429,782,861,789,547,356,966,776,536,966,534,715,
474,095,971,376,578,701,766,586,249,177,802,507,625,869,559,437,030,572,713,
486,454,494,185,281,282,557,161,837,678,167,127,160,156,817,602,436,681,617,
001,199,088,162,514,678,002,933,307,232,001,037,352,058,563,546,306,763,829,
816,151,967,237,423,034,119,880,771,724,117,830,653,565,118,481,588,638,172,
208,488,615,725,822,606,532,488,698,169,267,794,536,030,124,520,086,796,168,
139,894,384,690,947,383,795,799,294,055,248,176,239,976,056,653,117,336,768,
237,646,428,348,499,949,540,765,811,693,594,177,806,703,563,927,370,656,184,
770,822,808,655,966,814,738,707,972,846,165,940,169,414,242,384,890,674,853,
831,816,788,301,787,841,982,140,865,590,249,995,585,372,869,348,883,270,170,
689,884,312,047,159,124,375,176,569,514,856,374,538,783,822,777,137,844,158,
601,410,745,943,917,926,405,266,526,714,185,312,284,820,886,190,441,640,616,
061,523,605,582,616,031,642,273,778,847,449,175,958,053,142,025,867,903,118,
601,183,863,649,010,558,548,137,629,226,833,393,108,948,018,959,978,090,793,
255,965,877,416,218,246,524,017,238,907,755,395,513,834,036,610,266,172,851,
005,949,884,180,379,624,275,127,226,771,553,157,004,058,380,344,795,209,643,
806,708,436,228,046,611,668,971,762,632,142,646,433,527,322,262,412,060,479,
867,743,737,037,035,454,152,717,766,508,670,154,788,569,852,038,905,262,167,
956,618,294,459,429,184,460,600,228,107,815,858,717,833,762,264,071,975,289,
908,126,800,158,663,920,713,696,222,938,631,931,364,126,698,835,905,422,156,
076,750,639,192,503,625,400,078,538,860,465,723,500,124,432,398,357,158,330,
127,447,272,534,395,412,831,692,225,105,451,101,039,928,474,991,306,199,214,
503,322,544,534,605,964,300,427,726,493,310,766,145,068,278,962,571,434,368,
929,222,338,355,878,223,082,645,438,640,205,873,558,094,886,176,748,452,705,
739,924,141,463,408,870,311,404,737,685,327,112,544,060,058,382,985,755,890,
765,453,744,952,543,129,458,754,886,520,170,870,150,564,973,158,915,193,647,
465,776,307,577,765,382,016,576,943,178,628,408,485,674,278,842,966,128,151,
874,159,500,546,261,926,384,566,562,504,081,194,405,349,245,551,102,708,722,
500,865,711,860,033,403,290,243,386,178,111,920,370,095,629,278,295,237,346,
967,212,339,877,011,578,610,371,810,692,609,866,455,224,531,173,880,067,878,
878,758,504,831,195,828,692,622,931,000,836,904,815,587,953,483,680,439,643,
081,110,033,392,931,775,387,985,527,957,707,979,341,171,853,232,290,536,744,
045,843,497,436,211,727,248,819,347,511,542,467,245,295,199,230,235,945,763,
940,355,541,850,287,549,268,236,594,696,641,172,873,288,275,188,313,269,173,
887,898,668,706,814,691,332,914,696,929,330,386,539,459,834,690,367,062,740,
295,674,031,731,362,198,737,954,964,395,012,907,971,875,462,108,191,845,989,
024,315,273,920,202,082,517,414,625,823,235,478,819,870,287,969,349,894,670,
496,158,867,543,615,889,482,993,412,776,900,759,152,903,354,654,033,342,200,
506,250,202,123,311,571,870,612,492,520,941,771,370,881,273,041,006,081,103,
045,035,675,515,904,464,065,293,554,815,853,187,231,146,369,947,038,802,413,
014,377,205,969,378,933,454,396,593,900,168,302,294,757,321,591,396,446,985,
123,208,971,044,825,708,897,158,734,449,631,776,022,755,199,769,779,473,697,
288,625,655,370,516,229,140,749,657,655,284,804,864,181,287,288,212,887,917,
477,182,017,253,047,645,017,986,928,929,095,125,053,596,669,791,909,109,727,
045,914,849,157,615,770,324,683,560,979,948,550,344,561,122,424,366,634,356,
793,801,693,266,968,167,803,552,502,870,418,425,477,305,235,494,090,116,185,
439,562,727,880,701,557,423,892,542,436,284,431,490,131,941,331,795,179,901,
965,816,128,426,952,173,931,357,401,558,761,685,074,664,716,099,163,355,952,
661,990,520,802,259,741,514,157,040,226,350,973,156,805,791,512,349,762,441,
709,388,708,358,961,750,723,155,681,519,772,318,297,238,108,324,432,719,455,
804,340,097,371,118,748,074,659,968,889,038,675,342,327,259,793,993,160,570,
902,578,642,151,026,884,201,862,367,108,406,448,689,097,686,426,241,464,909,
474,348,210,829,013,123,084,623,437,418,196,836,584,821,639,667,155,760,684,
508,875,704,517,973,748,975,429,204,810,452,348,077,037,803,495,102,650,836,
164,878,371,631,799,363,303,479,115,351,407,415,175,761,733,199,646,239,414,
138,654,431,476,329,726,053,002,137,161,651,879,635,155,520,134,880,188,231,
706,710,727,955,557,097,537,057,106,572,641,695,073,413,044,105,687,186,864,
171,163,955,382,589,473,034,731,027,599,999,353,813,784,426,914,219,061,080,
131,155,092,332,048,511,537,662,958,311,172,341,012,714,611,857,938,187,438,
734,653,039,117,305,762,823,575,322,255,686,829,668,535,353,692,861,404,622,
018,145,584,614,444,747,944,770,139,264,754,356,812,742,064,479,323,088,028,
659,234,425,586,399,019,007,479,446,274,224,127,882,475,372,666,077,697,039,
478,834,186,188,805,602,484,501,127,977,135,022,181,236,731,920,746,447,400,
490,433,010,879,366,823,560,769,946,266,211,558,339,310,239,584,458,657,599,
869,908,736,853,174,804,461,022,990,106,300,409,694,684,542,678,692,740,090,
219,473,086,820,506,357,022,605,230,955,916,864,383,062,787,676,797,297,802,
578,830,053,445,725,633,405,411,259,732,507,980,202,923,662,838,997,550,060,
689,756,912,953,561,125,246,894,366,933,023,307,313,660,916,212,164,722,040,
666,633,433,448,483,655,428,706,449,076,915,566,163,496,777,576,719,697,114,
815,522,423,734,287,739,201,291,224,936,752,475,824,965,032,957,720,343,447,
199,734,046,390,719,130,320,055,956,142,656,883,349,430,772,539,416,384,190,
421,947,221,652,148,710,566,634,960,878,011,246,456,023,437,007,142,966,806,
560,382,856,464,106,471,335,347,671,094,122,085,577,981,049,291,165,540,198,
739,716,658,725,906,889,436,147,318,648,977,050,666,631,963,989,003,392,600,
058,792,547,568,206,661,745,569,728,761,026,254,528,429,793,840,665,713,165,
109,561,143,769,650,512,987,853,331,227,104,602,273,618,182,909,297,487,007,
709,250,605,117,302,614,420,026,140,868,781,879,891,764,337,386,967,758,071,
679,675,253,448,497,456,850,148,039,381,414,480,467,406,454,769,168,566,640,
939,301,043,154,176,609,832,926,439,208,803,769,269,315,698,012,068,126,566,
276,209,916,388,922,368,837,642,075,608,278,323,955,418,771,850,854,707,901,
106,263,825,828,368,040,141,927,905,648,203,912,847,862,760,565,393,104,103,
237,017,882,471,404,658,273,831,868,089,428,564,912,415,526,678,084,697,163,
268,026,231,871,176,593,602,045,713,482,320,270,252,672,821,288,536,902,839,
186,889,750,182,746,937,315,081,579,108,732,386,730,787,510,277,421,956,103,
139,646,286,866,035,659,055,714,427,212,113,454,811,346,852,983,149,345,494,
573,171,700,730,072,985,546,003,311,090,074,908,533,772,255,618,125,953,905,
311,646,679,417,073,292,221,007,900,917,719,373,256,173,168,667,558,975,634,
621,062,756,353,239,480,420,611,513,595,215,311,672,327,682,050,070,056,780,
390,389,707,204,997,144,903,634,882,773,848,842,835,657,105,655,417,228,105,
205,157,165,563,722,644,776,191,166,454,363,249,666,412,373,027,962,177,096,
452,170,442,679,538,905,960,047,048,871,521,519,587,532,223,385,938,978,021,
289,149,359,874,993,338,091,754,149,378,017,686,327,472,038,361,585,550,376,
259,699,730,349,593,168,017,628,780,667,305,404,143,018,788,417,188,595,245,
125,421,638,288,224,968,112,712,465,242,809,493,422,664,739,178,755,492,284,
567,339,242,133,253,017,846,712,869,309,402,984,074,257,114,131,824,972,088,
110,789,331,507,793,675,603,216,240,217,247,591,923,721,402,242,040,429,084,
104,667,908,983,220,008,739,226,012,851,753,621,921,833,649,579,139,243,079,
794,245,838,513,075,950,427,962,810,339,640,548,530,820,794,707,021,795,713,
233,718,165,725,109,321,448,731,919,248,458,903,040,886,684,810,431,273,841,
616,735,700,971,731,638,325,329,704,379,171,986,025,457,716,201,636,602,279,
930,662,081,474,502,503,427,202,063,805,265,530,765,283,756,299,819,266,006,
086,272,250,748,202,067,716,878,607,893,682,019,329,326,993,427,975,077,365,
217,169,818,887,300,854,628,117,976,986,658,292,797,203,404,599,618,349,202,
293,138,097,517,485,578,977,796,043,005,757,042,457,915,336,266,899,306,324,
170,453,765,957,203,060,007,602,955,143,754,399,020,535,668,301,399,424,464,
036,681,076,312,760,268,670,741,075,333,693,706,948,062,886,345,646,805,777,
444,961,541,578,601,737,771,142,273,964,770,896,908,255,491,636,744,309,787,
137,961,627,504,912,851,400,759,838,358,312,240,354,350,758,079,212,332,027,
939,662,061,914,172,339,557,777,055,961,224,330,704,028,822,205,425,851,138,
823,012,610,434,875,955,821,515,690,143,001,806,295,370,232,101,499,790,255,
359,122,823,608,176,224,479,667,114,869,502,891,165,732,170,613,195,672,555,
768,190,945,186,093,040,259,574,326,593,680,602,859,265,776,879,910,462,978,
246,192,927,201,450,507,480,326,607,433,802,468,641,427,292,972,966,707,099,
757,891,633,167,808,981,064,173,644,736,109,677,795,300,098,996,395,929,510,
900,117,204,987,911,089,054,501,947,518,510,298,872,463,377,119,235,195,577,
215,840,009,593,956,709,721,422,547,694,840,266,184,357,908,838,570,532,605,
469,476,953,183,398,459,427,656,579,152,632,991,371,120,795,226,153,781,563,
732,124,838,254,116,977,182,290,605,085,720,640,503,988,346,917,284,788,935,
375,268,888,463,804,991,895,656,905,044,665,213,326,880,386,775,898,470,192,
668,313,740,737,198,576,416,826,262,092,670,773,588,627,825,186,151,044,126,
200,585,377,699,252,229,212,972,029,963,831,508,292,449,204,908,308,993,824,
559,302,703,840,663,814,423,867,782,739,007,730,734,527,578,142,160,570,858,
157,075,211,003,116,890,063,017,699,402,517,713,874,650,838,038,578,356,561,
753,005,565,854,302,102,680,131,435,088,793,026,889,812,586,975,896,362,427,
792,506,640,658,166,240,874,291,577,525,674,572,582,230,637,984,015,872,651,
193,948,511,850,244,265,585,099,820,690,250,173,230,295,276,581,086,597,115,
112,695,356,913,399,148,751,366,132,115,719,867,387,766,530,480,299,406,528,
801,977,107,097,043,690,612,161,909,096,342,207,654,630,811,354,380,757,030,
521,316,517,332,962,987,065,890,309,217,490,184,165,757,669,129,823,367,411,
188,503,844,848,618,168,005,210,711,974,959,805,911,205,305,446,671,083,559,
263,232,133,720,325,312,251,276,459,493,646,237,261,949,076,395,253,901,449,
477,136,195,413,372,120,600,460,760,085,008,116,599,185,821,342,258,024,890,
882,271,298,523,337,871,201,519,922,306,400,349,945,493,368,367,759,099,131,
884,386,504,974,252,017,955,731,085,475,565,199,330,533,341,685,391,852,561,
409,143,156,975,020,606,585,178,895,511,033,786,761,543,111,856,139,345,786,
491,168,990,093,751,271,197,903,746,474,936,400,392,384,397,257,936,281,473,
552,667,661,304,026,952,834,907,892,231,368,201,355,748,317,659,945,631,603,
807,761,736,669,726,942,467,264,806,122,697,857,319,919,126,375,415,610,192,
687,108,568,852,474,785,808,880,544,655,297,108,915,217,267,981,822,708,329,
241,481,179,078,657,738,663,602,404,669,081,111,764,067,148,981,976,330,687,
761,814,021,179,226,647,346,656,139,837,939,574,742,186,029,378,482,656,281,
240,290,942,599,453,098,775,037,550,786,160,462,637,083,037,953,534,911,159,
564,099,526,869,776,563,491,647,149,157,323,441,827,235,201,411,695,624,087,
386,423,808,509,521,624,340,525,951,446,983,545,173,645,698,599,718,929,436,
308,778,657,722,499,337,868,400,122,570,523,553,965,746,055,799,586,793,564,
948,609,407,538,647,773,142,787,005,142,847,978,356,967,823,091,791,363,882,
624,519,851,458,169,348,411,460,273,720,529,717,103,062,472,281,863,626,111,
022,471,246,569,422,802,956,553,254,534,196,323,991,342,495,084,958,963,580,
348,143,955,644,828,247,191,073,195,859,634,354,818,014,343,605,061,219,945,
643,238,917,668,293,465,081,012,138,962,942,369,133,255,869,236,374,377,835,
581,870,151,129,721,569,520,027,604,709,352,723,968,010,556,686,674,326,151,
301,019,500,157,821,005,159,901,063,341,107,927,647,785,238,318,882,263,030,
313,738,926,694,814,054,842,057,973,815,215,082,959,696,121,930,156,723,938,
828,271,594,276,412,090,589,037,413,722,454,460,992,771,912,655,272,447,670,
036,984,354,508,317,909,095,026,100,224,419,298,907,853,164,321,376,495,540,
428,969,678,620,376,609,609,015,649,354,272,738,617,653,475,761,781,044,880,
775,719,077,750,312,655,619,493,613,616,565,391,027,387,041,377,913,426,052,
309,400,599,035,544,461,681,673,590,956,267,570,424,465,889,921,721,077,784,
201,252,938,661,475,424,264,637,795,220,278,106,175,136,840,108,871,975,186,
006,022,967,723,816,190,811,768,140,712,849,232,779,550,315,071,494,760,428,
213,180,450,327,611,739,459,881,398,860,597,056,376,455,551,665,822,334,093,
357,040,153,243,108,782,007,837,730,320,127,884,752,442,846,493,424,310,842,
892,196,186,550,061,788,163,839,560,148,639,017,337,592,602,536,788,834,187,
179,995,376,389,668,719,683,679,713,212,471,034,840,496,438,430,421,597,540,
755,105,489,459,379,952,030,692,930,622,353,582,068,968,102,973,913,336,808,
258,350,672,220,751,630,839,884,022,367,275,171,514,387,954,104,727,702,585,
326,465,797,656,695,838,737,094,021,842,124,426,502,235,988,670,779,355,936,
061,612,512,278,872,602,702,105,423,990,386,574,245,526,045,735,410,822,241,
527,806,504,513,502,457,431,332,876,396,058,124,575,863,943,491,950,462,771,
040,631,617,154,732,495,769,355,017,697,184,149,665,833,439,405,596,911,010,
362,462,180,121,171,945,637,802,232,099,322,491,533,540,470,603,182,470,833,
281,524,635,797,628,967,223,175,979,648,830,904,146,610,652,247,834,598,824,
836,122,676,568,053,982,674,695,530,678,225,437,437,148,979,428,142,826,918,
682,079,900,817,215,778,736,366,414,457,056,281,261,335,879,242,772,161,728,
854,003,880,874,277,896,820,370,981,519,784,907,962,545,334,808,833,565,331,
554,449,930,566,690,350,732,701,977,815,464,865,992,031,636,993,770,729,066,
353,427,335,750,555,150,320,910,986,362,208,698,623,527,638,981,683,801,861,
329,489,368,069,683,545,411,928,521,144,568,272,809,761,126,884,668,460,566,
527,828,142,329,093,401,706,482,944,282,163,477,201,741,730,872,507,148,510,
009,232,577,572,726,273,995,611,162,248,365,740,439,568,326,365,165,604,759,
120,396,152,939,199,209,195,365,669,856,461,227,088,632,048,995,386,767,932,
742,294,655,670,340,752,172,983,863,815,218,971,547,661,665,431,008,445,793,
846,498,665,798,250,917,178,726,288,908,069,518,930,974,186,998,727,723,249,
703,309,820,963,411,303,316,243,445,580,235,513,268,758,045,824,709,973,958,
192,559,053,764,443,016,867,881,809,463,540,424,420,685,877,589,570,762,684,
950,872,835,814,349,303,624,222,499,766,046,116,957,560,003,834,788,429,179,
225,814,136,349,773,355,675,649,740,830,019,805,315,378,094,621,927,447,762,
256,989,217,112,818,019,236,378,988,271,709,387,202,307,543,671,026,652,598,
260,568,859,771,893,909,266,178,826,439,371,830,305,647,763,435,580,889,314,
479,310,432,645,589,132,646,877,489,062,332,172,243,577,385,819,844,138,855,
389,785,959,828,153,504,372,138,267,757,649,606,666,176,296,156,498,895,576,
344,442,636,032,920,878,357,299,061,831,287,323,641,132,271,633,234,239,487,
928,123,363,327,559,749,489,754,902,617,232,600,206,295,449,691,385,421,104,
903,086,429,093,769,054,770,265,494,061,116,031,707,315,297,384,667,495,819,
834,945,166,445,302,432,793,378,219,806,185,891,858,852,178,204,995,435,884,
476,112,224,558,956,739,736,410,644,010,687,215,888,745,120,409,859,406,700,
559,111,343,643,415,838,441,253,461,428,494,260,005,381,349,827,689,124,708,
029,754,333,729,132,432,920,146,108,893,382,852,042,266,247,743,815,101,825,
851,234,642,868,827,574,688,293,776,988,652,986,350,102,306,768,741,977,611,
897,356,967,125,242,862,167,135,380,223,564,133,372,512,140,077,250,034,062,
422,128,296,714,088,790,645,187,753,431,698,501,631,910,086,316,918,224,733,
584,657,753,501,525,570,665,128,025,471,291,680,199,246,193,962,961,442,251,
984,333,119,010,618,629,330,550,209,954,326,184,949,925,670,007,340,778,656,
290,234,008,221,677,114,986,168,281,802,881,287,979,198,198,550,059,953,156,
021,906,833,156,225,273,023,280,914,863,562,367,771,658,806,757,295,981,516,
555,404,508,431,221,454,486,713,978,670,545,769,460,579,109,363,357,642,566,
814,391,712,675,244,180,433,781,670,440,956,796,879,741,363,866,422,085,968,
847,557,630,930,014,193,332,987,544,171,170,055,988,240,016,369,789,656,023,
383,687,968,389,515,628,055,940,287,519,315,938,955,395,037,912,024,298,623,
724,372,808,175,579,340,460,836,905,271,518,859,877,073,411,410,461,158,600,
256,099,136,454,354,068,986,824,033,222,765,453,636,406,942,795,730,206,024,
695,407,238,988,939,403,662,492,737,775,083,718,961,809,505,583,821,711,219,
160,262,521,957,967,430,794,914,235,874,389,288,158,745,354,880,048,199,338,
178,756,478,230,258,664,774,818,129,200,382,340,051,045,200,761,505,778,478,
839,961,247,275,755,248,896,987,385,791,930,539,876,134,148,529,150,382,454,
213,587,601,816,035,223,354,554,749,261,816,356,760,122,891,958,349,345,070,
402,637,727,854,903,447,397,222,478,325,877,625,228,095,831,604,858,368,880,
843,062,775,400,544,036,392,106,238,736,064,324,520,390,459,661,638,038,317,
214,102,510,128,837,560,937,408,075,864,534,493,717,266,567,059,020,832,801,
374,961,367,310,836,816,551,649,274,237,856,305,200,926,767,720,137,579,329,
390,302,919,105,462,542,077,798,043,728,078,853,714,551,653,503,807,168,053,
988,818,509,367,235,139,973,709,887,288,908,365,860,247,684,719,749,313,305,
604,148,038,475,371,840,020,380,811,293,298,645,637,098,631,530,899,596,851,
363,422,067,821,421,286,659,748,213,244,390,833,788,167,824,760,255,881,800,
566,345,571,729,031,679,339,000,686,309,146,536,260,049,911,884,369,682,523,
859,100,876,811,284,794,978,513,961,381,608,310,683,486,944,184,094,397,905,
182,046,342,722,303,002,576,710,971,924,532,040,900,095,576,750,664,700,882,
935,144,971,136,498,914,072,876,521,640,090,092,220,354,612,477,628,850,992,
862,271,153,789,697,196,656,714,426,879,383,289,157,242,386,512,720,948,532,
618,957,018,612,791,822,894,092,035,588,442,764,960,568,560,640,182,753,980,
100,169,695,600,179,624,982,829,756,527,360,909,037,341,039,914,354,774,085,
171,915,108,587,778,135,315,855,206,598,434,392,452,179,825,301,564,404,995,
570,939,843,811,877,228,131,532,288,788,837,007,020,657,576,769,042,379,871,
905,393,094,324,050,068,103,714,970,108,448,995,852,769,744,982,507,718,577,
824,285,161,835,717,147,675,397,229,975,338,098,505,605,745,245,771,283,088,
279,086,737,877,850,172,662,711,274,547,987,524,994,455,952,763,748,252,539,
022,077,293,078,665,464,167,884,047,013,281,765,208,007,150,911,339,163,546,
464,238,172,120,561,772,307,963,348,423,441,136,192,380,842,460,299,739,917,
454,868,490,556,520,390,925,796,074,299,130,141,913,443,638,617,267,080,642,
284,769,938,748,911,607,902,046,758,680,144,507,339,702,791,782,712,133,041,
295,547,510,073,605,484,690,016,569,430,875,357,256,522,448,061,304,853,416,
474,563,597,376,658,870,585,297,896,428,259,442,507,845,908,704,396,447,571,
392,716,695,009,198,877,070,800,803,195,017,700,353,908,893,753,593,264,985,
683,284,957,989,093,108,184,909,899,397,226,015,932,073,232,561,181,407,265,
338,584,339,419,821,901,266,174,191,603,568,125,921,146,382,505,956,695,759,
734,138,286,132,815,972,604,949,755,476,389,155,815,891,061,543,386,255,754,
859,380,132,287,740,099,407,034,068,322,649,347,033,986,745,352,563,837,218,
265,772,208,260,745,382,080,963,188,447,895,595,888,867,144,518,448,059,817,
871,453,063,678,256,758,971,157,016,631,341,261,528,684,668,529,012,454,230,
579,267,507,874,081,507,209,238,523,612,856,215,278,532,117,794,458,827,956,
264,240,700,418,290,677,543,331,863,307,315,213,640,023,900,687,257,211,388,
753,125,050,164,242,646,596,264,094,878,037,808,875,273,541,387,328,166,384,
561,902,723,266,728,524,926,433,061,892,461,427,488,729,353,388,136,900,965,
809,827,419,720,261,699,426,129,949,408,711,213,591,367,618,834,292,610,568,
367,296,281,095,526,439,124,344,795,094,528,688,885,838,256,209,229,571,331,
414,459,063,154,746,950,003,328,414,179,911,028,467,646,687,372,714,331,885,
266,332,550,752,930,199,646,500,807,473,098,303,936,704,690,912,551,998,478,
114,431,205,666,171,675,920,765,414,884,910,417,070,167,240,728,527,831,505,
568,865,467,653,524,221,491,853,274,100,830,962,151,512,087,135,301,267,446,
504,670,316,335,690,124,651,192,593,079,039,077,397,816,357,926,880,562,790,
523,954,837,501,055,262,772,984,671,704,044,475,687,308,489,514,675,187,119,
007,204,479,131,875,160,607,819,279,432,223,384,618,045,827,335,362,924,681,
769,384,788,726,690,218,135,874,450,858,060,138,949,967,753,130,156,791,401,
938,405,705,774,394,763,079,275,469,275,880,547,719,473,850,951,347,219,320,
378,344,563,672,166,002,761,918,937,064,624,551,103,901,160,761,893,524,870,
960,001,459,721,307,728,615,903,579,369,190,229,835,370,676,515,419,809,866,
363,781,437,921,130,997,952,323,088,031,987,052,701,079,061,523,105,550,199,
465,364,088,903,926,843,941,489,633,959,340,387,781,090,650,164,076,587,896,
158,423,975,362,518,376,391,153,595,403,211,316,067,988,908,811,845,273,227,
434,488,693,421,809,545,091,165,784,388,489,413,962,685,597,134,984,568,667,
563,760,696,928,552,585,269,976,543,346,599,681,856,184,226,222,362,149,975,
429,626,138,122,314,051,635,202,753,304,427,746,942,887,811,274,240,580,664,
415,694,608,379,672,208,108,704,401,790,521,876,591,364,096,800,193,402,165,
039,126,991,356,258,668,713,808,637,579,477,217,197,679,689,564,868,495,548,
678,244,705,115,512,329,241,632,487,465,263,234,280,545,648,219,201,392,269,
693,473,245,738,186,735,262,860,587,149,423,777,731,727,751,825,111,165,744,
989,583,316,518,333,312,827,736,361,994,824,892,139,510,844,852,321,030,487,
306,452,796,098,241,400,048,688,535,543,475,630,004,265,828,963,026,808,673,
138,942,604,333,109,106,475,137,381,710,431,721,201,188,917,680,072,934,999,
426,119,289,088,074,988,665,883,322,768,083,776,644,750,822,642,144,963,200,
922,959,001,655,688,271,680,970,055,856,292,420,439,813,575,248,453,694,437,
897,787,480,619,392,736,294,261,856,051,696,541,008,838,124,605,442,962,244,
393,220,494,154,685,724,330,779,206,838,826,817,689,990,787,396,365,331,784,
579,199,471,612,271,548,708,638,419,724,834,118,293,659,370,632,608,467,595,
554,871,445,013,923,901,420,823,475,724,294,235,396,859,199,669,134,131,985,
477,425,643,327,447,023,496,238,187,740,722,616,220,306,784,320,643,149,642,
424,728,440,409,301,038,238,393,770,664,836,595,920,918,438,603,631,414,346,
055,136,609,404,880,893,539,188,808,663,633,042,875,807,221,380,605,915,220,
113,694,739,316,251,977,969,465,959,872,183,921,578,292,202,545,570,897,886,
395,068,672,975,355,817,631,968,771,190,885,808,642,941,474,264,397,355,283,
827,430,982,207,934,945,905,440,298,096,844,366,355,827,045,831,073,402,523,
136,694,983,762,892,279,193,116,442,792,744,112,765,913,531,560,085,956,444,
683,513,475,178,319,649,691,024,274,900,181,155,939,301,517,771,827,384,199,
524,486,664,503,544,290,405,911,755,404,102,054,719,348,901,100,144,737,384,
772,699,981,845,715,177,093,693,681,270,674,795,377,468,700,004,144,307,348,
098,414,462,573,406,884,804,165,806,224,578,156,480,459,527,856,262,176,075,
049,081,690,720,306,085,958,533,737,459,080,443,993,804,817,535,200,164,438,
540,597,321,604,416,319,859,574,769,699,532,285,902,747,784,231,560,973,640,
657,262,103,266,758,740,207,188,596,028,084,022,552,707,148,884,806,972,679,
563,023,839,121,886,082,756,310,707,729,704,800,892,402,436,928,546,594,425,
466,796,143,347,125,128,031,699,558,969,898,695,039,948,393,262,792,490,934,
023,033,566,529,394,770,031,434,745,296,586,565,117,716,806,014,380,502,599,
702,437,485,331,778,518,425,360,502,312,404,334,805,237,001,174,916,018,714,
509,909,690,910,917,741,185,208,499,962,039,067,707,041,241,488,972,633,256,
069,359,291,231,755,726,023,119,999,057,134,984,947,208,592,921,468,400,087,
207,735,800,033,049,264,007,719,135,819,413,555,414,222,342,446,311,723,093,
144,827,050,446,859,312,389,300,595,470,360,978,253,759,646,394,286,604,266,
897,784,466,420,743,971,656,099,663,835,049,179,492,155,104,883,128,699,147,
281,223,670,861,539,893,062,771,224,557,718,513,869,403,324,080,351,155,572,
149,776,034,051,428,224,595,097,671,492,373,005,967,596,129,781,788,521,171,
910,071,565,664,671,526,880,558,250,141,879,322,370,427,347,536,678,775,270,
742,401,395,036,396,093,437,897,446,670,031,858,034,276,624,028,746,908,044,
874,724,548,616,972,720,364,160,785,432,312,400,623,693,597,663,184,799,743,
547,160,146,824,914,808,737,858,682,197,726,274,693,576,491,071,314,744,898,
483,889,430,658,493,809,480,752,872,942,866,843,391,461,120,942,062,418,945,
680,573,521,014,325,743,389,523,776,773,416,202,852,933,267,291,405,429,944,
407,532,485,550,807,363,803,764,656,881,826,067,332,705,209,696,098,219,293,
471,179,884,586,452,918,648,882,916,630,745,841,646,063,344,808,597,869,463,
183,516,337,122,328,546,123,844,046,496,171,869,577,079,369,559,173,950,993,
472,288,088,907,352,859,956,178,979,078,389,321,756,256,664,582,508,622,319,
720,211,468,188,553,493,129,502,408,041,804,634,418,236,825,534,230,497,544,
700,502,580,872,498,800,958,207,600,945,101,574,106,995,649,574,528,201,291,
527,166,531,325,874,625,664,601,045,510,932,846,842,920,172,427,577,211,441,
367,433,460,596,072,334,430,722,460,889,741,030,026,729,344,977,933,641,491,
792,403,550,238,254,235,752,175,766,226,421,310,128,321,151,667,928,057,971,
425,526,181,270,609,194,411,224,330,118,231,509,404,604,662,829,579,985,542,
484,640,835,910,699,827,515,399,171,313,729,766,544,994,177,469,996,501,055,
312,447,897,365,150,099,274,006,543,373,923,366,078,712,530,565,831,675,017,
521,167,210,818,027,006,369,452,759,937,457,086,101,157,866,715,279,263,965,
759,985,850,116,868,178,488,924,442,763,647,455,054,741,043,121,255,023,139,
309,349,880,527,384,181,874,921,902,255,414,310,059,179,005,278,986,764,859,
494,282,174,210,002,752,462,228,474,722,049,671,901,383,626,846,654,304,501,
677,380,048,939,986,882,227,182,399,012,356,576,794,019,521,679,895,675,333,
973,902,607,849,422,962,466,994,751,447,795,989,920,174,017,504,069,590,559,
938,035,010,778,632,400,014,142,220,933,593,128,743,929,361,859,973,701,920,
016,602,883,952,568,587,355,417,156,234,929,515,712,836,622,013,333,934,296,
365,816,655,719,394,789,648,292,789,943,802,049,355,474,170,093,626,381,410,
109,762,163,546,003,837,980,625,003,200,339,495,667,073,276,136,562,365,169,
187,251,327,166,082,369,074,269,555,016,484,513,976,139,820,809,509,585,941,
428,313,149,371,656,307,932,682,132,343,010,342,750,434,033,799,679,435,416,
674,941,910,828,438,021,053,323,019,726,206,455,453,536,834,954,123,442,580,
103,269,501,782,300,992,214,990,799,830,326,554,827,845,060,226,206,913,926,
957,071,650,089,322,093,296,646,276,813,949,458,623,704,543,454,540,389,619,
984,164,478,879,922,557,924,009,341,137,322,521,156,214,354,631,278,858,850,
173,864,405,422,278,928,904,722,828,823,761,373,263,240,556,712,815,614,017,
477,400,016,171,367,417,862,556,037,203,260,836,090,207,291,631,810,132,819,
247,037,646,883,911,572,956,527,451,633,060,134,478,330,715,211,615,064,714,
425,335,235,995,627,331,449,944,408,110,131,549,794,813,243,771,814,120,994,
091,229,035,199,597,551,076,505,625,784,850,657,467,394,864,091,692,948,981,
009,745,692,327,808,672,269,270,089,250,286,753,755,020,942,277,438,918,062,
650,374,273,200,080,369,473,799,444,287,950,290,566,718,482,916,392,840,610,
492,471,291,804,828,589,922,337,474,366,407,708,628,430,575,787,442,439,443,
382,156,846,052,994,408,479,819,456,223,376,838,458,884,427,911,835,570,650,
645,034,514,450,841,434,481,976,258,243,480,886,444,345,901,469,965,009,052,
550,016,845,578,176,431,311,214,790,612,572,589,962,431,029,797,368,230,505,
578,072,638,663,709,255,535,029,780,097,432,312,967,214,971,435,432,824,292,
871,333,004,249,621,032,073,575,625,873,608,738,422,633,307,658,163,263,369,
267,886,922,608,188,966,260,247,924,327,602,486,295,092,345,134,125,169,238,
903,383,991,171,844,853,163,736,065,791,508,259,113,320,228,564,668,447,456,
407,738,435,912,044,610,094,007,192,764,981,029,520,228,812,071,909,663,082,
358,235,729,390,836,399,958,894,118,335,258,464,377,763,197,734,914,506,885,
194,408,936,550,567,592,843,293,283,630,598,062,511,657,470,898,736,386,399,
641,342,908,846,684,001,096,717,680,238,719,693,643,429,381,009,125,043,297,
110,970,040,483,875,963,395,571,416,180,251,823,858,104,509,843,640,392,115,
107,439,954,977,925,533,996,909,380,812,834,963,467,501,525,244,017,664,139,
033,131,439,575,741,727,888,413,893,706,994,754,256,861,890,164,883,039,022,
154,571,885,519,209,946,584,978,391,967,970,964,628,135,364,453,884,591,377,
280,170,393,108,604,306,427,870,492,699,280,902,868,363,246,598,074,442,001,
754,851,750,227,992,237,702,474,872,145,457,608,023,336,431,866,133,486,123,
266,083,075,395,634,812,195,869,906,047,180,403,251,307,197,644,015,290,465,
671,342,742,264,691,660,894,486,870,419,498,085,480,797,924,971,986,718,426,
660,666,162,838,359,792,781,539,708,879,707,924,979,809,347,478,323,356,446,
765,731,424,786,050,086,374,266,671,261,769,558,042,955,024,174,285,800,594,
151,340,802,582,634,450,916,034,482,487,546,889,327,496,010,658,160,913,626,
956,232,658,886,562,139,577,791,940,774,953,210,693,430,167,531,888,381,552,
974,266,724,605,223,894,235,219,581,999,764,853,233,281,565,553,550,961,506,
738,891,112,746,527,077,827,043,877,523,867,571,285,885,682,216,492,699,123,
546,339,277,041,885,865,254,934,874,331,701,484,591,304,200,003,310,073,743,
392,012,313,635,630,719,113,658,980,237,766,531,880,848,543,801,950,994,247,
358,807,313,712,004,781,383,743,303,524,479,127,985,004,665,731,651,000,141,
214,145,304,432,339,914,165,550,824,023,396,034,507,247,651,700,852,085,590,
863,124,751,860,855,269,059,322,542,543,768,095,591,211,672,286,456,222,965,
635,975,097,025,216,639,575,193,167,709,438,624,504,782,356,873,401,052,277,
657,600,472,017,614,405,799,369,696,938,373,644,404,513,022,264,199,167,011,
802,165,643,439,850,842,875,824,816,751,545,032,896,684,423,816,713,428,294,
112,796,883,897,476,917,834,800,187,572,617,450,267,738,689,188,371,779,204,
477,047,358,943,734,275,887,014,224,528,280,289,393,893,627,968,273,921,171,
900,221,033,473,993,104,291,018,095,579,427,930,769,263,965,340,043,789,793,
296,020,710,211,854,980,451,932,736,522,094,560,270,964,379,979,034,125,748,
542,351,865,002,488,220,440,712,857,538,961,092,725,835,565,507,491,696,842,
252,581,703,133,643,523,954,498,641,159,486,068,814,076,941,031,769,135,409,
481,841,261,205,271,911,379,554,132,369,531,860,977,816,575,239,673,243,113,
528,319,809,627,863,162,207,989,757,859,004,607,165,936,077,319,382,339,462,
414,723,759,066,752,501,955,313,464,405,564,289,577,615,847,371,781,158,482,
746,193,375,100,826,603,304,427,613,447,513,798,485,106,831,008,782,773,958,
545,301,992,872,351,144,020,786,581,723,247,578,862,094,069,564,104,569,706,
176,649,813,084,437,576,832,804,644,721,064,763,448,187,376,565,382,218,913,
797,877,299,895,877,827,915,198,556,570,576,092,243,403,585,810,168,745,440,
588,866,083,113,240,405,406,304,776,001,829,905,868,238,270,274,673,825,507,
947,013,521,209,120,140,073,701,992,342,084,230,789,548,407,206,844,696,652,
420,473,222,266,186,272,528,314,965,772,443,641,763,832,668,474,374,624,817,
670,993,789,472,945,235,568,349,151,531,056,336,064,548,059,062,376,620,412,
360,520,764,538,141,138,780,229,615,998,895,971,206,984,692,932,721,367,883,
757,173,039,538,286,462,265,460,672,841,311,091,506,977,139,228,982,791,259,
785,857,633,343,785,405,475,911,065,704,543,171,972,112,862,181,490,222,949,
137,650,222,959,684,332,794,903,479,149,720,104,491,311,553,638,684,011,576,
091,375,654,427,666,928,548,548,976,768,463,152,711,259,288,316,305,339,729,
132,712,721,807,382,693,407,159,909,887,189,972,536,264,980,288,026,863,658,
837,779,007,643,602,232,619,576,782,485,328,217,688,523,565,203,628,415,000,
558,175,359,235,672,058,648,955,436,920,806,794,103,693,119,253,708,913,676,
599,543,462,369,034,202,534,694,016,847,091,566,042,026,700,348,887,060,280,
002,273,912,053,637,111,684,122,245,854,575,749,321,334,778,693,738,760,280,
075,592,625,742,389,210,137,332,162,174,713,977,307,442,102,808,012,837,076,
023,217,065,582,251,489,851,473,729,069,246,869,073,347,520,211,977,163,496,
808,842,258,750,773,841,084,114,853,184,513,831,928,631,941,151,426,154,943,
465,099,951,980,060,519,747,184,721,566,350,290,613,307,679,256,408,007,840,
005,454,308,498,280,743,620,631,574,847,825,342,437,053,735,575,505,834,004,
339,714,446,790,799,423,163,598,764,908,787,662,241,467,553,502,013,668,595,
994,714,725,529,222,760,061,630,313,053,031,638,650,718,286,818,578,417,360,
439,136,469,628,938,517,044,741,596,886,954,324,209,462,654,067,678,840,608,
116,837,354,608,609,197,853,940,221,621,523,725,883,852,386,923,568,730,695,
166,257,357,057,194,758,067,369,918,856,108,407,685,523,549,296,175,954,934,
281,376,411,113,746,948,214,932,143,360,943,662,109,834,696,617,704,900,281,
402,291,009,320,533,367,931,071,783,099,720,632,768,582,708,109,319,473,083,
651,408,343,333,998,676,056,292,327,081,142,669,542,299,279,572,889,280,981,
990,116,232,600,306,923,920,060,133,094,668,378,178,543,840,431,324,456,721,
569,069,184,342,424,810,223,552,461,463,072,536,153,554,165,520,958,572,530,
270,413,900,619,221,060,779,897,983,163,434,846,255,987,611,102,267,209,732,
544,050,512,170,498,994,146,662,113,689,796,092,946,857,942,415,043,279,116,
606,833,800,383,273,265,761,447,727,923,404,537,502,391,662,946,387,325,346,
023,517,582,412,143,737,689,551,838,213,394,496,410,715,271,601,683,813,962,
522,205,918,485,970,418,802,366,520,193,071,980,333,379,106,396,827,101,525,
800,624,653,213,443,925,729,930,322,337,275,932,358,586,986,652,581,869,080,
139,228,933,039,829,680,341,886,835,155,367,830,866,719,626,031,899,740,344,
517,026,622,277,480,714,207,413,740,332,371,597,384,168,952,422,015,022,879,
698,765,755,403,470,888,771,635,081,070,103,646,919,452,853,298,706,835,621,
011,861,931,772,688,147,772,274,693,107,175,724,112,184,024,611,715,226,676,
320,165,980,997,494,409,857,598,198,832,690,358,110,391,504,928,141,387,087,
618,851,200,587,967,701,238,783,471,566,570,611,563,755,670,772,461,050,692,
777,677,421,390,543,855,078,440,900,745,645,229,189,540,880,898,398,889,731,
026,424,096,469,352,366,968,441,782,005,511,860,585,446,779,802,164,937,782,
313,224,458,999,174,604,078,135,024,171,248,302,962,345,842,421,334,707,245,
382,700,870,525,702,387,999,721,290,618,508,453,096,239,045,810,415,630,816,
844,139,802,118,960,959,496,762,053,874,423,301,617,575,840,599,409,143,756,
574,486,565,972,560,850,838,277,380,866,408,066,376,729,180,043,043,667,981,
397,805,285,469,928,179,155,224,177,487,652,694,840,748,469,774,167,757,817,
728,734,502,660,145,892,134,412,188,379,442,547,278,479,702,760,841,275,022,
811,842,109,497,557,555,544,178,544,651,371,705,235,545,889,420,983,120,045,
885,839,527,513,171,585,317,251,622,532,458,222,341,579,010,753,639,296,329,
761,254,955,661,874,355,094,343,886,414,792,245,068,373,105,181,254,106,684,
579,257,489,045,087,974,353,891,025,091,718,312,091,037,493,422,962,976,292,
209,571,389,787,327,007,703,476,442,968,153,754,037,064,912,644,094,480,426,
575,238,715,226,925,712,178,989,119,089,751,407,700,363,672,913,508,437,333,
147,875,801,969,754,280,830,363,818,399,383,789,925,366,872,816,440,073,903,
783,498,383,442,271,938,423,426,733,118,639,218,403,516,669,116,589,316,307,
934,101,589,788,395,797,284,450,539,260,089,026,156,133,641,551,884,544,417,
724,938,008,235,163,526,232,642,754,354,382,106,484,117,728,417,278,324,873,
663,248,429,761,613,627,337,054,481,294,813,750,467,867,356,556,935,692,439,
001,213,539,894,780,415,695,925,543,361,351,478,489,474,003,443,470,960,950,
092,219,441,931,287,994,961,297,528,161,071,795,927,382,784,954,806,590,080,
931,159,330,438,882,273,703,427,382,552,293,944,947,501,498,223,483,364,107,
858,964,681,107,896,231,015,770,573,540,745,393,267,641,399,338,029,989,726,
717,133,231,404,440,518,184,404,534,404,630,574,592,022,831,126,166,178,948,
093,595,404,596,403,983,574,420,797,586,018,813,113,433,172,571,005,328,113,
800,848,821,143,815,638,397,841,816,128,218,693,686,896,597,199,720,412,482,
427,885,540,097,754,220,289,291,866,639,211,336,555,159,325,635,628,223,696,
620,512,886,149,378,561,990,433,635,820,476,094,026,963,147,609,565,620,095,
835,729,801,058,443,877,554,111,133,272,991,942,929,775,215,407,495,659,826,
328,645,067,190,351,155,840,989,772,894,080,967,655,901,073,808,831,114,098,
388,979,929,789,518,020,774,837,012,627,481,767,692,233,778,147,415,098,558,
873,064,823,267,145,292,348,253,716,015,512,374,722,580,828,225,282,963,577,
733,367,393,120,103,865,821,053,290,321,790,263,760,786,000,110,899,371,370,
893,779,527,626,479,550,517,859,384,372,166,063,484,024,748,349,900,809,939,
749,690,256,061,319,482,705,355,723,872,040,236,963,495,808,440,440,385,772,
647,154,105,670,196,463,675,050,865,048,929,198,104,855,143,157,703,104,495,
276,485,289,705,068,044,917,044,365,024,298,201,975,551,020,533,968,332,283,
423,853,702,449,895,785,932,853,757,721,299,216,039,346,995,500,467,596,144,
262,780,312,072,046,233,643,580,687,734,481,312,349,945,259,384,409,477,336,
433,154,803,585,719,119,442,780,150,966,943,235,079,982,850,384,974,454,443,
866,208,108,594,262,449,203,067,000,910,015,577,481,432,809,747,050,432,511,
346,346,379,568,866,602,939,908,550,851,433,688,849,173,810,943,076,900,035,
043,442,927,479,894,115,257,368,837,092,270,598,135,213,613,413,071,932,003,
819,775,948,137,660,709,936,442,558,487,108,405,073,101,740,895,580,023,642,
728,861,622,406,104,741,379,912,498,529,815,511,072,014,181,971,295,572,107,
093,331,989,153,734,670,106,630,636,545,103,586,864,502,648,523,111,555,879,
493,853,634,254,395,285,952,697,410,228,032,365,334,318,907,341,349,853,870,
825,580,832,619,199,673,671,840,383,170,647,642,961,398,372,853,930,373,026,
340,788,499,063,510,143,050,361,257,576,964,633,625,307,821,251,849,051,084,
309,463,618,489,934,763,172,624,802,884,151,485,580,498,437,184,378,500,416,
572,386,299,451,226,809,364,134,618,645,135,324,464,034,704,990,606,622,758,
501,458,895,173,682,673,908,836,974,604,115,864,804,996,887,258,371,093,770,
720,221,414,594,739,618,674,976,045,106,940,549,975,572,014,643,616,636,965,
786,301,957,655,693,614,092,475,235,868,562,155,760,115,929,280,462,152,683,
218,993,934,448,789,467,550,101,828,791,940,020,409,950,759,122,882,045,315,
859,813,967,181,219,047,055,385,119,937,651,737,283,356,419,702,568,723,929,
299,231,148,204,163,683,942,781,627,689,006,042,372,372,699,475,067,525,423,
014,693,023,734,829,501,572,331,851,989,957,038,466,879,317,442,627,883,254,
353,318,486,200,824,684,060,226,365,323,256,518,775,147,957,717,238,013,577,
721,285,373,257,661,381,815,795,586,218,380,070,547,841,197,072,830,703,058,
888,539,227,292,754,244,968,654,304,523,825,289,961,286,049,649,943,115,131,
920,242,607,119,016,090,186,456,235,187,722,102,120,972,084,691,053,044,536,
962,018,970,742,494,000,222,927,323,643,229,052,714,883,066,092,267,854,380,
609,933,797,990,725,223,444,406,587,851,980,258,489,946,721,740,419,421,476,
189,695,194,141,895,945,499,835,135,374,284,871,229,181,400,931,865,382,234,
480,868,988,654,682,131,568,752,975,985,208,079,011,114,082,109,341,351,170,
608,126,569,397,870,162,379,638,603,161,005,243,880,502,005,031,644,211,475,
241,317,419,173,930,272,763,170,469,623,543,529,019,841,020,318,782,579,660,
590,650,494,560,434,863,572,894,547,356,125,049,627,131,884,384,797,201,503,
132,413,314,348,067,230,732,811,059,080,925,054,752,852,318,228,406,329,639,
892,260,628,153,623,341,027,559,363,562,834,376,553,935,517,921,547,320,164,
804,685,886,749,436,768,111,562,583,313,702,476,043,804,061,459,282,535,458,
299,016,803,059,019,590,354,665,796,924,472,022,986,394,948,579,784,981,578,
905,110,541,946,864,252,075,538,085,812,782,827,939,566,345,580,310,469,820,
510,756,971,216,048,445,236,470,133,943,346,439,406,642,181,886,912,517,737,
155,482,953,078,128,784,273,530,546,766,342,796,291,588,803,089,201,502,855,
994,495,031,906,976,638,817,922,263,281,218,720,821,933,532,270,203,416,059,
764,738,711,762,533,315,832,105,751,509,537,346,146,309,988,573,865,743,402,
938,125,137,609,040,174,161,705,517,603,469,940,719,334,897,643,466,962,639,
555,653,729,444,929,165,917,347,335,593,193,960,015,286,146,157,330,335,268,
967,009,041,479,711,859,053,469,871,068,516,278,509,902,676,695,626,156,585,
972,327,619,530,203,861,971,080,592,770,722,596,403,324,915,786,203,959,098,
590,948,156,276,612,020,242,173,730,078,448,775,769,005,619,637,285,489,970,
124,954,059,787,149,203,063,406,881,983,461,070,422,232,981,035,737,311,167,
075,397,409,320,287,328,356,508,295,429,815,484,082,180,634,552,201,945,355,
233,630,141,044,946,239,482,756,472,216,884,447,683,948,700,969,428,592,800,
827,704,251,854,236,576,218,625,694,699,006,123,397,856,971,751,393,801,555,
619,532,703,342,833,253,432,416,470,273,183,030,405,122,524,909,893,162,907,
929,164,576,790,955,921,448,047,591,267,873,380,685,484,346,359,873,509,444,
476,984,725,059,656,887,018,232,643,820,231,987,929,281,121,710,344,769,755,
624,686,115,909,899,011,036,580,719,065,109,886,577,363,702,448,670,020,593,
093,627,877,242,190,037,991,031,738,245,825,436,503,070,275,998,298,685,509,
744,585,347,816,939,777,133,864,062,212,326,434,237,359,468,811,336,055,573,
980,250,787,954,255,151,439,970,638,129,929,750,277,435,312,024,862,204,078,
974,959,195,948,080,799,118,940,571,664,751,716,036,808,916,926,069,837,662,
140,636,393,369,652,974,540,900,434,822,374,634,035,538,711,540,524,421,747,
387,107,927,929,983,582,473,156,690,109,340,157,524,381,371,813,023,189,479,
579,863,322,677,780,136,204,823,796,976,908,699,248,105,139,378,541,723,887,
898,602,756,610,591,465,983,027,209,931,163,812,851,836,432,662,181,924,172,
569,833,159,804,695,546,795,971,448,873,996,598,341,108,805,877,254,373,174,
298,134,653,755,382,480,212,583,195,228,540,368,003,397,860,463,216,709,057,
328,444,222,409,385,521,749,493,839,352,689,249,941,153,206,024,794,935,742,
647,779,054,206,142,976,223,276,243,151,225,659,710,766,588,093,737,925,156,
586,516,167,766,423,430,288,018,532,341,436,432,987,351,921,121,448,279,701,
312,671,175,790,694,280,499,364,411,309,930,036,144,097,462,146,682,285,486,
265,177,013,596,594,070,972,439,581,210,067,723,660,038,407,378,632,652,321,
518,652,839,855,148,551,524,462,126,748,233,042,936,448,244,397,068,482,973,
093,380,467,401,731,111,493,551,289,190,867,243,759,327,297,449,375,777,020,
426,150,053,983,183,497,092,771,241,046,079,122,401,602,554,713,407,275,424,
475,727,401,786,913,027,079,806,933,669,461,526,096,576,226,113,658,215,008,
781,739,819,663,430,938,081,391,144,260,561,229,306,701,555,317,168,829,077,
344,532,695,800,568,871,630,789,303,710,718,052,765,299,038,869,890,311,232,
200,720,275,235,875,089,366,754,860,100,635,213,415,636,133,082,055,158,506,
351,123,029,839,554,189,934,557,318,185,945,892,396,517,221,200,473,125,535,
940,747,758,398,484,478,514,685,040,357,080,814,691,190,791,944,264,961,181,
324,293,960,049,192,666,051,059,806,181,047,110,912,293,276,193,453,909,064,
544,223,805,011,193,446,917,381,667,450,531,390,570,724,961,509,325,891,918,
807,621,491,300,039,570,764,317,904,504,568,082,945,048,244,359,328,910,105,
680,052,547,101,690,248,981,135,129,660,098,640,100,823,115,116,381,146,643,
164,496,538,090,660,028,559,272,968,983,663,358,151,230,771,816,288,173,051,
452,297,829,729,423,691,861,441,861,173,039,256,773,742,626,128,681,928,257,
186,386,060,367,552,655,942,397,188,945,533,470,088,051,702,831,336,385,538,
586,199,849,353,837,379,194,339,566,809,450,309,454,324,135,066,193,824,282,
836,057,827,572,447,848,459,446,505,083,874,616,038,086,364,234,316,308,490,
560,176,267,618,650,737,784,015,991,219,561,470,184,211,292,895,201,376,468,
949,221,099,170,616,100,158,279,395,083,096,790,428,153,039,126,827,783,481,
690,205,813,335,469,155,024,041,952,617,395,890,888,408,901,763,117,071,161,
954,077,421,045,306,154,604,244,298,522,277,476,047,583,249,473,026,029,540,
283,592,423,056,888,584,353,649,451,928,345,747,287,357,484,574,484,995,392,
874,270,138,310,581,136,414,527,706,555,070,764,541,265,646,160,670,082,061,
596,025,798,840,828,303,027,985,246,254,013,703,867,881,250,297,092,562,258,
982,408,408,889,513,142,674,533,712,235,254,816,473,109,037,294,930,268,461,
566,845,619,827,085,847,543,797,181,708,803,211,941,517,073,026,249,549,228,
690,163,473,156,812,869,547,054,644,136,058,221,874,471,287,697,673,272,012,
503,917,164,874,275,631,706,538,112,323,695,080,585,172,687,412,766,932,837,
692,982,034,433,797,028,057,231,921,834,722,544,169,794,728,410,489,875,124,
784,531,692,969,873,945,635,596,274,858,402,652,027,358,136,726,653,128,553,
299,454,115,556,382,697,744,930,414,141,512,029,868,695,277,667,500,055,254,
195,827,029,768,194,285,414,248,634,317,926,634,871,227,376,074,371,570,337,
867,997,671,126,626,834,811,841,626,460,850,621,597,114,134,609,944,103,475,
653,844,493,975,986,581,804,079,951,609,422,949,754,122,872,170,079,654,672,
127,855,925,294,535,120,732,168,217,825,730,477,377,673,790,223,770,157,516,
809,123,075,410,646,743,024,164,631,554,161,908,591,797,437,071,821,062,965,
539,036,471,578,361,245,956,656,257,720,523,354,558,585,633,295,070,475,915,
129,273,071,519,326,625,340,189,444,439,897,167,722,600,422,199,058,728,875,
285,247,787,051,623,407,811,938,303,213,456,850,546,580,172,740,086,343,198,
308,309,068,152,860,167,059,565,295,204,197,734,171,861,835,259,256,212,643,
052,155,312,952,843,820,297,286,690,067,199,461,144,286,524,988,382,262,982,
836,120,222,163,247,629,110,124,118,165,726,760,352,783,470,938,129,741,882,
309,002,751,333,366,699,766,280,416,188,387,560,067,337,526,185,530,506,778,
556,000,250,594,903,680,770,147,520,967,084,366,566,371,256,605,788,740,443,
715,815,461,194,460,829,044,548,276,076,894,006,061,184,040,254,243,808,016,
514,680,893,028,700,638,439,847,497,318,034,483,782,053,550,308,391,918,745,
262,248,865,513,376,053,402,311,470,624,830,605,156,033,527,946,028,319,606,
235,267,152,350,099,687,781,282,588,122,388,599,882,938,935,057,891,646,431,
166,373,131,926,889,130,378,534,102,486,213,348,016,493,415,955,029,251,372,
272,657,102,049,066,763,132,537,409,306,168,642,590,312,056,987,952,645,943,
600,912,341,451,239,749,946,793,808,971,912,810,354,792,942,030,724,279,304,
848,300,685,021,301,053,306,583,551,450,314,478,847,399,926,047,607,811,170,
054,205,547,510,648,826,424,079,788,597,461,158,761,548,709,566,143,609,823,
663,282,531,442,482,706,201,329,795,700,880,219,630,282,655,230,745,078,369,
737,549,042,607,787,321,135,395,839,433,348,325,153,443,890,304,466,058,248,
267,320,676,074,542,959,955,206,550,352,576,524,373,988,145,835,595,372,575,
726,740,998,979,142,137,920,754,825,485,100,360,864,461,579,594,228,135,980,
604,172,627,757,770,800,378,018,404,401,476,479,170,980,987,219,441,906,253,
806,878,341,933,000,717,140,743,327,032,886,812,281,667,038,433,502,718,901,
719,149,726,714,908,753,512,636,195,112,515,422,515,249,409,197,835,632,027,
307,800,355,581,392,214,735,416,818,658,671,149,186,051,541,360,288,415,339,
382,667,804,058,814,807,797,670,026,250,640,119,457,522,048,793,483,403,733,
319,476,930,858,438,123,708,795,028,039,605,794,224,034,167,332,108,855,822,
472,660,336,091,816,868,284,095,793,735,538,629,696,233,078,132,169,861,488,
165,768,408,158,666,991,738,888,769,425,454,010,971,104,688,673,504,874,415,
472,600,480,662,905,174,671,647,465,988,432,241,678,144,304,127,925,272,633,
835,652,150,036,228,412,006,398,057,068,057,854,538,585,248,797,012,087,824,
879,217,992,007,385,910,625,350,810,480,693,365,673,595,428,932,079,253,809,
776,277,237,421,888,392,172,214,190,249,203,954,804,664,661,146,140,350,332,
540,724,281,816,034,729,344,421,419,875,841,110,435,929,975,021,614,186,932,
254,142,284,245,775,094,807,298,312,417,607,058,953,873,455,210,945,527,848,
524,379,770,317,384,818,541,806,173,583,553,886,622,196,088,234,228,929,730,
341,606,745,163,822,689,659,236,254,533,782,966,012,639,988,146,871,259,547,
985,985,428,625,401,517,961,896,480,393,191,172,912,429,557,054,189,943,545,
071,479,594,474,527,224,796,521,292,882,415,602,047,628,237,260,162,016,212,
038,456,493,129,839,233,496,676,886,470,557,987,620,562,066,922,560,475,610,
980,087,818,553,785,701,175,132,099,369,211,191,360,322,798,603,598,144,884,
648,244,178,253,578,313,235,846,821,764,159,830,283,618,448,603,967,686,420,
879,209,267,253,943,952,683,230,948,918,219,645,527,986,095,893,256,405,956,
880,819,476,029,686,027,592,969,231,343,204,283,969,331,735,610,827,804,241,
371,433,444,267,185,075,360,342,325,175,739,498,789,400,937,565,744,933,107,
917,435,729,821,303,145,713,953,389,315,734,624,470,605,605,338,879,824,137,
656,934,516,203,296,300,546,146,109,167,077,040,467,112,641,165,133,877,237,
503,663,467,489,185,109,030,552,949,625,307,133,111,228,191,523,052,445,611,
689,508,732,459,572,084,599,745,433,781,471,656,001,175,505,777,066,922,038,
021,613,502,298,527,112,206,646,617,362,034,948,872,004,829,628,874,365,328,
229,167,547,204,337,668,898,867,075,811,300,570,551,480,101,373,363,698,393,
550,188,318,606,856,586,664,481,751,055,725,174,975,004,462,271,798,048,125,
856,709,383,494,646,289,670,864,902,053,292,425,146,944,788,218,314,836,780,
212,512,318,556,829,592,365,895,788,399,861,729,123,932,393,374,726,964,530,
502,601,997,926,137,652,272,054,808,585,721,928,147,610,922,609,633,338,821,
512,878,410,092,804,857,812,218,092,617,188,719,217,463,388,673,037,472,223,
705,235,190,273,893,483,665,785,642,708,133,707,730,254,576,064,082,918,690,
316,027,375,237,556,674,445,313,017,790,557,258,242,466,759,494,701,741,782,
139,907,545,130,591,150,057,742,726,014,687,819,092,377,103,090,506,857,338,
938,517,431,104,988,749,026,258,984,221,236,735,053,474,507,128,160,359,122,
549,702,516,710,740,973,129,921,148,992,164,471,537,009,309,158,794,168,345,
423,036,728,611,621,774,898,963,080,670,037,415,346,066,772,957,219,903,265,
853,249,735,610,240,205,957,744,924,980,497,603,223,604,520,989,338,763,401,
184,877,997,281,662,167,878,548,001,050,887,650,479,693,816,658,579,380,574,
730,060,423,360,198,099,383,348,230,235,540,049,902,889,450,393,730,105,626,
925,124,506,177,392,524,086,030,125,410,768,120,985,858,783,350,400,079,264,
627,632,867,930,926,969,263,108,856,412,854,352,273,924,222,052,734,186,428,
312,790,379,505,122,577,136,116,890,866,583,056,318,491,976,392,505,572,582,
945,489,238,799,857,019,111,141,709,611,886,692,748,351,621,248,672,873,425,
785,194,015,479,140,567,836,169,178,807,993,009,914,241,022,587,797,493,784,
371,082,338,323,688,702,156,267,341,296,827,415,185,702,702,947,101,193,827,
940,031,024,884,160,423,177,823,804,761,170,741,675,675,450,469,082,025,553,
675,670,521,559,240,935,997,836,371,573,699,888,893,112,055,793,197,149,654,
870,246,181,451,245,920,987,374,529,462,673,268,060,231,259,986,685,012,674,
886,939,444,431,535,039,576,288,591,642,526,259,420,125,220,151,168,060,388,
362,468,113,546,478,346,723,581,314,707,853,399,788,357,186,322,944,364,981,
616,297,580,718,385,205,719,264,357,309,853,222,737,256,345,961,187,588,905,
167,377,020,405,372,273,769,705,191,418,312,243,866,164,626,040,467,938,976,
008,137,361,657,959,665,333,322,080,330,432,876,480,001,904,884,621,186,400,
637,030,859,383,686,046,094,637,439,368,575,524,711,938,519,618,573,824,577,
334,908,064,079,015,016,705,903,117,425,301,780,333,997,440,470,844,166,389,
152,246,511,051,062,998,228,281,196,375,701,719,319,064,515,478,407,137,310,
149,722,519,248,389,911,873,157,906,273,247,631,285,796,621,827,040,792,067,
924,230,178,189,710,672,784,203,771,568,366,470,258,031,153,536,360,587,998,
255,265,625,323,585,185,567,801,879,657,102,488,098,465,392,394,932,752,585,
563,412,123,476,168,502,709,258,269,318,883,552,941,612,435,481,444,390,925,
492,483,559,893,442,756,918,156,292,237,623,385,775,996,611,946,730,170,180,
297,710,002,015,625,337,873,661,096,250,525,299,232,022,139,386,664,192,153,
563,392,685,413,742,963,919,614,123,499,914,482,434,216,909,947,477,876,516,
309,091,184,275,983,662,916,068,295,018,702,611,859,002,465,596,514,004,336,
716,871,560,129,729,155,797,684,994,020,234,691,125,026,135,635,403,795,922,
400,251,033,194,796,504,926,036,777,923,133,512,820,533,215,705,116,383,492,
283,588,594,822,535,182,669,784,583,912,008,219,962,378,981,645,391,585,400,
976,775,569,227,896,394,235,057,629,142,398,688,554,470,810,805,327,001,173,
314,344,349,639,166,241,116,422,327,903,656,812,063,773,942,331,214,689,827,
153,278,775,683,753,689,876,309,504,204,077,773,360,859,128,542,077,138,660,
200,752,003,409,792,208,812,428,407,789,488,440,457,255,281,976,720,787,724,
770,942,006,710,438,787,625,006,102,276,795,765,079,217,385,246,381,944,340,
488,829,951,010,535,606,972,973,284,826,883,348,054,801,887,457,442,813,663,
475,562,189,379,986,692,459,504,185,548,725,870,016,204,584,163,312,327,159,
859,832,461,614,432,623,630,261,324,565,192,078,941,085,484,554,702,882,435,
103,805,646,711,383,407,247,520,203,941,597,403,487,033,941,190,744,159,946,
158,504,379,030,950,684,287,055,088,135,838,935,010,757,720,320,737,826,665,
600,877,343,102,396,785,057,503,094,652,444,210,945,766,640,383,776,045,106,
442,740,686,359,353,747,085,832,459,496,842,974,480,366,702,581,039,689,533,
566,377,475,095,427,832,994,238,919,124,948,355,674,558,149,369,488,460,070,
966,070,965,636,356,174,447,669,795,725,735,670,789,108,022,156,915,336,285,
493,220,911,343,523,200,627,324,380,625,596,645,082,605,647,915,417,020,099,
425,639,046,369,619,902,994,034,316,308,432,486,330,360,936,277,832,802,298,
253,992,094,801,150,492,608,483,656,168,847,179,120,666,856,302,769,786,285,
077,171,883,063,425,936,588,913,416,325,996,543,750,402,691,997,748,810,923,
863,708,203,569,475,762,086,921,124,086,872,174,583,047,430,478,805,868,269,
242,816,792,836,615,649,243,024,647,781,883,154,498,025,328,350,201,102,721,
173,841,920,099,888,061,524,539,279,011,864,025,273,897,508,641,442,464,691,
213,274,749,794,410,168,500,997,975,261,237,511,278,292,295,898,159,957,853,
608,170,193,521,755,143,906,610,232,073,531,822,530,800,529,089,484,120,188,
967,073,175,666,272,012,300,844,429,029,624,746,282,209,129,627,239,329,083,
867,396,906,772,359,108,633,323,789,454,984,764,755,569,754,351,816,024,523,
613,588,839,605,459,187,687,285,351,820,074,155,494,790,423,797,413,734,593,
085,328,064,128,802,761,890,709,403,235,820,388,793,845,628,450,786,204,836,
513,285,975,111,697,794,582,647,678,435,136,127,733,438,562,998,121,265,491,
182,007,013,385,736,153,180,503,461,896,698,419,119,141,025,823,576,612,606,
578,512,850,817,821,047,560,245,647,997,609,900,205,863,059,125,288,463,029,
943,282,454,157,464,534,128,855,973,372,768,220,860,894,248,619,297,363,343,
823,135,486,962,790,398,579,108,062,342,749,999,544,831,175,461,965,596,255,
537,661,174,785,836,345,985,172,438,707,404,536,191,917,058,739,225,852,256,
751,656,060,704,757,528,211,477,210,081,181,324,174,630,062,196,846,519,620,
578,418,949,108,955,048,311,912,606,979,521,385,195,991,752,709,876,914,067,
136,193,140,935,747,672,978,077,631,385,441,686,675,145,453,867,421,220,143,
394,229,636,340,294,069,969,195,685,001,628,864,372,539,307,515,121,784,331,
342,312,120,491,438,696,385,825,562,709,010,739,683,578,112,982,188,518,479,
083,297,660,070,968,736,427,702,761,393,009,147,783,966,568,693,351,980,168,
623,247,385,022,364,521,368,677,141,240,597,523,255,482,072,676,153,834,566,
024,894,001,058,194,607,692,002,452,028,877,279,794,257,078,752,536,282,391,
924,239,037,320,032,157,728,708,474,275,187,804,233,657,156,282,666,433,356,
845,513,872,671,784,204,276,325,029,730,635,088,763,232,153,569,494,104,026,
334,086,637,414,223,020,927,883,792,798,521,756,843,288,303,529,758,880,884,
638,751,726,966,192,334,063,435,229,416,168,097,648,990,333,628,992,442,224,
796,403,647,515,824,115,465,156,184,471,407,090,020,775,809,065,328,172,186,
700,037,253,121,480,292,978,690,348,128,559,634,775,634,580,275,443,387,202,
682,350,066,387,750,602,026,923,475,722,097,282,225,993,433,757,507,900,301,
837,227,198,436,634,494,533,972,933,492,287,913,046,945,540,314,479,419,235,
796,394,802,358,386,387,069,993,747,825,843,889,621,579,472,225,361,760,669,
842,985,051,882,428,550,387,151,368,439,723,188,113,289,865,878,504,310,856,
447,917,389,692,419,316,612,830,542,055,916,472,937,861,844,289,313,235,855,
696,253,399,700,966,301,602,414,401,717,438,208,351,392,542,265,914,450,076,
553,755,737,896,556,234,222,901,084,864,063,450,207,255,425,492,345,477,990,
412,849,971,414,653,403,666,247,846,671,153,376,841,276,261,311,186,581,755,
536,654,974,184,391,996,327,471,980,982,590,066,394,441,645,372,067,446,690,
919,685,848,197,193,608,780,120,037,719,380,775,031,800,195,434,191,022,362,
793,241,456,494,516,819,722,447,027,249,800,210,044,194,021,947,251,915,051,
785,847,488,524,865,040,460,300,625,774,398,121,137,222,200,973,124,512,338,
210,956,520,786,087,603,907,415,865,204,833,388,722,318,711,172,032,575,218,
278,546,614,046,868,374,451,350,889,105,119,810,866,650,102,231,137,080,345,
148,502,098,362,993,890,391,710,337,098,378,886,224,993,564,755,311,971,246,
890,892,173,006,952,794,685,758,187,177,407,596,027,509,890,627,944,201,125,
746,793,437,415,055,990,967,793,717,333,097,257,533,749,032,585,339,432,244,
594,026,975,322,480,871,481,903,521,733,860,769,218,381,046,935,048,332,961,
665,831,893,622,434,658,631,238,767,355,939,187,938,064,647,656,825,429,945,
773,272,616,095,146,474,359,806,220,660,350,778,161,081,667,510,524,027,108,
296,334,642,126,257,074,146,191,447,970,544,112,302,210,700,304,949,648,900,
625,482,325,440,899,669,491,892,678,302,916,053,914,283,283,818,566,610,498,
416,975,958,356,342,949,196,850,871,611,400,224,765,014,587,006,150,791,435,
681,468,827,087,883,872,351,805,619,800,532,647,454,790,340,080,511,518,469,
278,747,438,732,865,992,841,862,352,121,834,609,628,855,386,989,824,673,919,
510,579,610,929,817,685,081,035,073,646,512,145,101,494,154,262,319,833,442,
458,010,113,498,106,176,727,169,656,362,565,048,359,072,818,926,252,579,043,
926,632,597,551,369,927,903,245,614,156,907,029,649,828,225,030,935,876,455,
179,286,129,025,974,759,491,039,175,308,882,972,359,770,284,448,073,935,045,
806,775,998,841,300,660,985,484,927,068,888,368,595,042,260,696,425,569,092,
086,814,269,570,527,798,431,709,968,119,319,771,369,596,787,036,695,111,917,
070,171,682,976,533,880,947,667,967,071,670,740,461,912,579,052,787,843,128,
381,142,794,342,583,073,365,862,437,886,703,317,912,164,875,883,668,905,408,
749,130,981,877,661,300,790,305,641,314,015,955,455,104,718,844,570,408,929,
884,189,808,834,763,153,208,328,800,540,651,559,457,030,731,476,857,677,581,
855,608,897,719,495,760,202,067,322,161,829,985,267,499,651,675,532,350,008,
892,864,473,548,293,029,467,924,110,661,327,656,869,911,849,675,441,811,108,
762,900,123,524,265,980,938,237,294,619,253,026,000,627,844,055,896,547,955,
776,256,027,883,863,307,023,565,984,370,606,625,039,707,055,774,187,351,035,
195,454,590,629,766,556,995,158,239,007,972,309,212,745,449,234,647,056,038,
854,482,616,774,346,258,042,904,473,391,408,681,680,032,697,371,597,332,911,
413,087,136,009,977,833,447,024,546,067,395,489,151,687,754,119,933,689,704,
310,094,729,084,980,156,854,749,016,328,799,753,812,967,826,571,915,401,972,
161,528,596,175,535,214,719,957,487,656,151,360,839,076,829,138,348,625,436,
453,472,203,791,834,307,265,278,577,478,260,277,661,458,738,070,801,207,386,
666,651,825,075,982,710,327,932,613,369,877,358,676,814,114,960,661,617,024,
776,896,941,673,199,764,034,755,533,139,431,604,412,317,497,017,807,024,640,
561,543,133,757,883,448,728,372,192,037,939,341,690,751,433,584,519,401,437,
167,941,923,519,854,582,549,594,606,499,837,805,785,369,609,507,472,754,695,
739,078,739,238,774,106,367,595,330,489,845,006,634,494,415,269,790,810,394,
829,542,770,866,513,126,970,778,434,983,949,135,213,463,404,206,772,560,692,
214,534,506,964,537,559,396,805,088,556,552,863,237,085,561,355,053,930,123,
708,589,537,148,937,907,234,162,898,569,655,566,470,935,684,022,690,530,165,
174,499,771,496,834,036,885,147,530,939,180,525,682,464,316,053,176,721,173,
838,535,421,240,509,621,700,559,218,511,703,513,293,284,237,233,202,367,274,
742,497,786,870,168,135,637,089,016,436,367,479,376,406,752,934,168,914,619,
251,538,180,001,057,905,326,156,185,170,456,324,091,388,135,983,525,402,135,
304,461,074,663,351,889,327,743,110,867,843,689,448,983,958,090,551,543,672,
378,289,212,971,561,922,808,287,766,051,963,104,477,347,514,466,354,043,983,
821,816,758,056,121,446,681,437,731,130,995,299,442,017,338,811,466,576,477,
937,976,894,186,945,426,597,169,178,043,847,282,286,653,326,006,344,159,508,
159,142,773,918,903,247,398,257,482,893,041,873,315,144,452,270,654,560,825,
517,400,964,656,872,452,463,321,748,325,707,809,694,801,857,068,756,148,083,
685,797,138,323,964,351,998,427,264,156,591,851,268,926,809,556,436,132,608,
771,452,223,184,809,678,663,224,299,857,991,357,411,123,916,265,172,168,359,
675,458,400,212,013,567,755,178,644,036,486,344,154,891,111,284,433,152,087,
903,370,969,123,229,382,804,106,812,042,299,813,629,075,610,088,014,947,513,
647,041,547,894,577,744,771,774,839,031,915,887,670,785,536,249,444,280,537,
927,381,416,746,697,396,538,821,240,124,179,730,140,498,688,829,798,411,621,
831,415,312,724,634,538,110,109,988,270,834,443,878,447,793,445,403,511,909,
490,326,033,595,149,217,533,082,612,457,097,162,480,087,744,755,756,224,683,
773,152,246,763,961,778,961,022,714,480,436,962,902,760,541,136,890,882,355,
603,653,503,568,721,203,317,568,352,599,773,581,441,667,365,825,266,540,818,
581,612,806,368,853,696,420,661,681,436,061,780,917,895,454,129,774,279,786,
985,429,213,916,675,958,589,931,815,582,425,149,348,943,470,179,361,046,896,
863,325,396,984,986,600,445,589,934,858,236,439,708,091,691,478,294,006,274,
565,173,086,030,361,849,846,638,586,984,301,051,985,161,645,615,558,400,434,
833,533,448,953,668,452,045,367,824,039,156,303,046,973,250,208,703,228,137,
507,518,403,906,302,279,636,590,567,758,068,485,163,074,233,589,747,856,510,
085,135,459,914,346,659,432,128,668,988,533,502,452,168,939,350,523,837,780,
664,895,555,332,109,279,008,095,960,614,150,799,802,771,637,735,361,182,552,
334,087,455,167,736,669,394,188,458,994,707,736,101,817,219,880,781,224,017,
241,346,588,665,044,351,657,976,851,365,491,831,882,092,094,666,285,539,145,
231,876,902,511,475,614,279,910,338,564,019,572,563,473,304,327,053,150,062,
365,993,371,812,182,098,438,211,810,417,736,383,525,634,232,151,699,370,249,
845,988,213,940,550,496,695,479,892,071,470,929,225,861,961,827,648,933,792,
480,749,477,677,137,857,518,854,257,233,456,375,088,666,684,500,134,555,093,
724,910,986,567,898,346,471,912,635,447,986,054,726,169,101,201,267,595,836,
246,791,822,887,332,732,037,726,091,716,044,455,399,105,768,499,940,576,719,
542,324,436,789,426,274,693,667,156,762,175,415,626,187,760,976,044,370,248,
547,563,009,222,854,936,327,630,581,859,115,838,717,052,304,694,055,245,751,
250,581,053,272,434,972,439,681,669,777,468,427,408,806,959,486,443,892,780,
745,882,245,643,489,844,323,076,272,448,870,508,725,258,399,062,999,700,811,
556,312,076,276,224,493,600,809,506,936,424,854,435,304,332,954,925,671,726,
614,529,060,803,413,774,364,812,712,270,039,070,811,928,407,400,076,548,713,
754,051,523,698,767,439,556,204,085,875,452,051,522,901,460,404,148,781,480,
008,226,494,897,435,489,346,384,501,055,390,410,239,260,863,678,069,164,993,
280,352,569,229,644,115,923,684,492,934,609,690,624,749,313,182,603,678,816,
053,961,531,682,267,210,749,253,542,154,748,001,300,808,727,813,499,885,777,
387,094,085,067,012,381,204,415,914,162,687,124,367,632,145,101,687,845,234,
969,211,866,981,719,044,632,821,677,291,183,030,963,460,351,165,710,930,944,
617,768,777,153,861,553,529,907,543,386,207,879,140,927,965,531,877,977,682,
137,064,850,051,764,593,006,125,322,943,480,395,730,972,078,511,138,168,901,
514,223,405,080,845,702,815,461,821,155,698,269,552,392,399,873,262,698,306,
182,056,409,820,268,338,309,241,448,261,269,695,281,656,774,295,171,248,041,
714,812,210,599,635,346,200,199,283,311,805,685,881,833,662,345,792,137,264,
041,546,838,141,821,851,972,112,850,947,012,461,068,100,481,241,056,862,391,
301,105,226,345,960,370,332,785,658,091,471,645,225,691,710,448,400,532,589,
885,183,207,910,086,116,002,989,281,109,857,242,331,710,298,551,284,144,073,
980,203,333,854,216,888,666,001,511,097,232,356,236,078,326,739,352,930,172,
734,732,065,094,271,450,088,202,237,036,707,011,249,362,168,415,585,665,190,
785,221,319,417,114,357,801,674,852,825,627,029,925,803,714,660,367,404,430,
551,990,999,401,959,264,758,345,689,347,621,546,133,254,107,626,919,324,872,
855,829,422,557,128,505,346,785,718,926,479,945,668,971,768,205,976,262,686,
422,393,066,580,571,206,952,332,343,984,235,939,220,929,015,621,455,315,436,
538,117,415,278,908,914,947,137,154,407,233,547,057,179,053,394,194,944,314,
684,704,458,097,666,837,802,680,615,888,455,011,572,861,679,128,085,904,202,
137,622,684,642,191,677,669,602,895,290,369,923,644,187,091,982,788,226,381,
519,130,442,693,478,501,068,193,131,878,569,751,627,829,709,592,193,580,635,
793,820,352,092,889,897,423,682,240,897,102,107,942,421,674,867,624,257,958,
434,126,792,501,585,712,538,089,179,466,929,845,115,969,145,256,759,483,087,
756,669,520,573,400,640,346,142,691,026,162,406,959,901,493,889,139,913,858,
671,034,118,243,391,701,873,948,582,664,881,864,301,846,521,812,837,027,571,
841,104,111,637,347,334,667,366,885,237,296,548,348,073,808,619,667,639,550,
828,703,583,534,537,207,260,003,204,450,892,848,766,587,769,952,493,999,322,
280,214,916,543,880,170,451,745,672,328,026,056,092,465,335,542,393,048,142,
876,075,681,847,794,328,699,542,744,125,462,093,247,440,017,261,194,798,590,
998,471,487,964,156,915,909,440,944,168,726,289,448,221,064,041,259,654,510,
664,230,205,149,212,326,160,940,280,901,804,028,710,171,636,629,745,466,310,
616,457,604,185,046,546,697,107,872,449,562,678,310,727,734,221,252,415,663,
153,161,033,689,323,615,894,417,810,288,240,603,743,773,281,132,053,621,696,
343,477,163,407,266,979,237,156,552,890,815,836,030,092,371,565,296,621,400,
376,093,436,503,810,027,455,248,108,868,503,251,029,801,133,118,091,379,040,
600,338,272,370,730,011,018,054,359,670,573,739,274,547,648,384,467,858,332,
789,113,422,846,360,501,189,603,853,142,970,685,496,653,324,660,961,372,081,
041,537,915,571,406,317,495,065,678,300,532,704,854,975,050,840,544,610,806,
027,602,998,609,742,218,640,736,802,386,641,073,156,834,919,293,677,544,094,
336,335,501,415,710,377,214,459,339,574,848,378,768,331,871,204,709,771,838,
721,214,741,117,385,503,286,877,457,823,356,092,143,183,149,005,050,211,437,
311,186,249,199,623,786,928,600,917,624,911,408,073,379,965,514,239,467,675,
986,847,779,518,465,471,581,680,868,156,552,576,527,663,559,226,980,997,798,
854,662,072,818,133,566,193,366,558,436,779,209,418,604,173,490,543,109,791,
840,965,314,552,193,977,899,946,996,147,488,898,575,838,526,089,308,205,633,
009,075,133,998,211,625,145,213,087,444,143,335,653,565,960,182,042,849,415,
875,171,442,168,905,971,380,424,422,003,643,113,216,739,541,219,078,367,815,
568,163,327,429,843,736,405,869,129,614,712,185,825,521,195,834,993,411,775,
773,314,421,228,809,185,716,873,257,199,834,093,975,897,648,929,785,321,804,
034,684,583,506,992,263,083,351,178,126,631,154,552,810,474,589,323,092,043,
004,979,396,131,683,264,357,563,703,935,043,905,662,371,024,761,606,125,615,
907,265,161,343,910,784,049,513,437,733,662,482,213,098,787,709,775,077,598,
937,840,029,561,732,599,304,469,893,470,086,185,955,303,713,068,076,104,213,
709,347,519,759,293,772,707,840,156,825,763,865,385,668,205,310,972,739,327,
554,993,674,815,524,879,194,989,857,291,767,354,592,517,916,076,461,214,578,
222,126,718,042,458,858,814,292,075,766,248,384,414,195,767,683,229,987,751,
097,080,360,374,121,726,745,158,866,646,013,867,509,828,754,464,620,010,327,
473,961,799,647,305,317,977,077,217,243,353,728,405,027,396,124,956,848,028,
629,391,381,014,533,924,672,604,381,441,297,585,409,242,413,708,100,856,789,
922,755,693,128,940,735,517,033,739,777,234,572,393,016,541,033,469,836,299,
996,797,151,786,975,497,516,006,127,255,689,167,610,791,120,802,561,311,876,
993,634,983,573,142,841,471,604,142,051,978,371,308,809,571,868,342,309,776,
516,704,698,337,119,375,895,663,241,107,336,071,765,597,428,067,975,483,759,
082,053,757,454,558,049,265,210,860,836,479,310,448,209,288,006,124,238,004,
957,821,967,980,306,518,752,133,654,919,548,537,515,248,871,977,007,561,124,
116,120,558,441,460,600,874,702,790,570,277,910,692,989,326,996,888,732,632,
439,125,107,780,704,072,195,872,256,315,746,498,860,202,087,824,955,610,419,
125,969,833,336,599,892,088,662,689,297,185,260,986,182,410,536,687,487,652,
334,554,847,272,702,465,214,495,572,848,284,933,599,422,309,534,784,613,999,
315,232,863,041,136,265,109,984,917,570,822,228,743,836,812,570,123,127,748,
914,715,909,140,290,052,893,282,084,868,998,749,341,392,231,110,245,657,814,
255,582,705,977,500,620,498,676,531,986,065,810,903,621,099,976,560,439,325,
997,903,335,224,743,451,506,780,850,536,629,388,188,270,327,247,999,764,057,
615,862,072,336,194,614,023,486,856,754,419,158,267,120,463,158,186,070,545,
004,709,417,689,147,102,527,739,732,731,492,702,396,726,546,599,868,893,778,
825,751,600,767,564,919,265,776,029,397,062,680,069,529,162,077,540,512,853,
810,021,721,979,454,999,422,708,680,299,972,683,853,380,648,696,662,006,348,
021,145,896,278,481,934,200,025,751,115,194,835,767,344,034,585,637,406,679,
768,403,078,372,723,001,993,985,642,887,308,146,053,315,433,030,915,481,033,
094,473,750,617,314,351,790,263,396,421,899,815,758,432,795,408,069,883,379,
607,232,318,540,159,506,684,668,200,806,891,320,417,222,708,662,937,846,505,
782,951,181,610,826,764,566,186,081,489,802,147,127,644,754,254,141,010,813,
868,328,804,423,329,036,660,098,466,596,028,249,667,777,371,456,905,799,171,
421,546,401,535,505,577,518,593,190,833,874,473,560,364,069,012,172,889,985,
951,162,722,211,094,666,747,576,186,383,484,570,367,700,720,285,629,442,371,
322,213,079,839,790,422,989,085,636,078,990,885,845,326,899,334,106,321,957,
628,877,072,239,097,466,418,887,511,573,188,995,862,531,079,598,735,626,146,
507,390,768,682,162,773,292,313,714,601,005,531,102,489,437,767,256,639,056,
146,089,727,256,745,828,535,546,136,539,952,303,777,843,334,852,051,934,837,
178,179,812,499,695,958,579,246,116,157,501,485,593,985,034,795,683,446,644,
388,044,062,039,730,989,317,195,682,790,229,738,436,924,091,571,299,739,391,
299,630,106,885,593,710,203,173,706,095,269,128,778,325,559,674,721,665,966,
080,682,320,745,461,315,122,792,040,229,037,466,507,013,092,736,558,121,402,
372,324,203,066,413,278,170,960,838,572,257,800,046,590,357,755,884,678,697,
535,044,024,709,477,157,810,337,874,214,225,791,784,279,544,868,765,463,053,
989,666,995,443,033,396,722,119,757,715,634,930,677,393,998,883,072,649,230,
300,310,153,309,044,704,011,067,840,902,360,265,656,002,664,004,497,792,456,
488,938,878,086,060,706,759,021,622,382,557,466,998,586,899,620,590,725,626,
824,681,819,557,109,553,617,720,077,134,692,451,648,194,597,966,694,021,469,
660,457,505,651,969,351,350,577,096,804,656,864,048,288,360,948,944,749,611,
569,373,900,027,344,611,495,218,438,820,243,414,693,188,240,882,831,038,026,
116,040,055,921,680,781,990,166,610,295,948,251,789,021,721,665,322,187,555,
428,787,135,734,331,937,530,469,102,150,218,860,079,420,866,540,812,665,982,
115,247,650,012,401,205,481,196,465,913,431,488,445,171,893,966,614,265,655,
178,819,485,065,110,431,016,482,279,323,344,080,218,551,998,531,915,063,240,
475,510,647,711,970,955,341,972,582,225,963,139,125,422,445,969,425,270,249,
510,026,208,085,795,964,491,282,425,616,523,553,126,802,315,303,831,624,067,
393,347,660,077,035,298,375,779,620,870,780,135,921,803,075,315,692,326,935,
109,233,496,957,144,061,041,535,861,077,815,026,676,851,423,402,369,545,298,
307,889,477,864,417,603,510,505,865,924,264,010,533,360,746,771,718,025,269,
041,536,464,669,342,708,167,043,053,815,365,256,531,216,916,354,732,534,914,
080,728,125,010,300,933,925,308,483,812,925,986,923,869,771,785,937,127,810,
956,016,819,905,868,875,797,904,713,490,831,580,091,057,105,254,664,596,948,
358,017,504,034,536,557,687,874,878,505,224,567,507,887,683,501,760,052,458,
253,056,540,680,279,511,591,707,363,816,152,807,370,627,472,256,945,061,786,
957,005,697,675,450,344,353,048,841,755,380,043,952,826,937,087,226,692,172,
397,931,570,568,144,106,508,148,753,243,242,708,918,188,376,316,052,438,086,
781,479,542,920,319,904,872,463,238,625,609,460,171,126,377,257,861,414,633,
121,046,808,328,665,174,725,330,200,136,334,725,635,506,497,991,737,012,506,
575,594,562,437,813,708,781,072,412,657,809,733,125,079,601,988,629,896,052,
854,380,282,449,737,230,496,460,993,681,649,276,524,490,987,409,599,041,957,
547,931,244,530,296,425,544,923,928,037,489,291,577,990,688,209,068,086,818,
878,128,894,328,642,681,100,764,956,501,642,068,568,290,694,926,784,701,343,
696,338,756,009,340,221,482,682,509,022,226,831,224,620,451,857,472,080,325,
199,278,138,432,781,427,621,917,566,363,614,458,453,703,940,777,580,884,643,
396,351,081,535,916,868,525,485,204,484,879,593,268,788,035,471,741,718,985,
755,058,953,334,447,990,451,598,217,728,427,418,443,361,477,243,650,810,035,
872,044,965,325,813,471,775,173,953,653,252,664,638,416,452,842,283,924,610,
133,740,294,296,087,205,554,343,907,210,040,377,709,398,486,108,149,077,439,
071,879,964,396,673,682,981,325,998,103,720,354,652,506,698,709,277,912,021,
133,281,087,618,424,787,425,747,686,588,409,516,878,749,594,383,790,110,400,
282,775,660,723,719,296,819,327,122,874,558,574,679,350,567,920,162,927,696,
903,270,402,946,379,252,829,922,935,558,211,670,052,193,496,449,771,729,000,
972,505,676,199,949,536,624,632,381,752,889,871,366,711,815,279,111,410,323,
048,305,950,821,360,284,978,122,297,458,319,701,015,090,121,811,768,056,264,
371,584,620,895,029,436,452,902,022,787,896,634,667,310,719,371,521,393,936,
374,497,097,709,217,812,654,564,243,091,849,497,068,553,842,293,406,362,067,
744,620,958,368,152,645,692,344,206,413,253,915,522,293,703,097,272,479,954,
980,218,837,720,566,068,274,787,046,122,274,597,953,230,968,395,060,049,473,
823,930,470,955,204,836,442,874,021,071,624,543,810,159,812,753,409,083,567,
746,681,768,064,630,066,672,512,929,976,993,700,868,763,881,470,405,587,294,
249,309,526,235,689,604,086,411,830,424,910,608,956,390,363,026,805,119,308,
244,136,708,894,628,546,622,710,206,211,190,628,511,402,168,463,037,183,341,
693,937,630,929,351,385,950,942,382,046,938,155,373,216,919,445,049,688,398,
861,711,473,702,723,888,771,268,530,522,964,420,569,708,162,628,411,914,714,
997,518,820,603,387,092,129,771,286,137,760,774,032,384,981,394,330,861,362,
221,750,703,093,340,705,554,011,649,646,359,195,832,445,244,552,281,495,135,
767,240,532,725,362,276,240,999,986,733,394,693,383,731,543,052,246,596,000,
420,711,705,413,873,733,706,389,969,489,090,830,234,772,336,370,552,199,686,
909,539,267,147,336,210,867,607,192,504,373,643,737,908,151,839,419,092,846,
970,981,195,696,898,133,128,596,169,068,881,171,377,393,138,813,138,810,114,
323,252,059,970,363,749,498,544,253,632,945,285,468,861,662,374,473,253,328,
252,434,564,322,100,289,721,698,395,825,511,174,288,362,887,815,798,498,801,
285,645,616,737,160,073,175,906,079,378,024,620,448,970,600,244,161,116,498,
796,711,753,793,148,546,104,103,633,047,371,966,776,337,944,380,698,960,486,
424,916,712,629,235,768,685,571,616,097,178,576,142,608,472,350,597,385,839,
180,112,233,204,931,678,134,878,665,345,767,138,414,483,842,254,417,573,053,
662,488,509,882,824,051,861,983,644,300,414,685,009,613,420,963,966,151,612,
493,830,828,197,909,631,925,825,069,899,622,174,344,085,211,711,063,258,034,
389,181,831,853,846,447,342,628,441,762,011,657,079,233,543,592,684,164,711,
716,474,003,913,426,730,372,317,811,549,591,211,172,861,259,789,836,170,222,
604,446,385,215,944,293,150,298,478,162,034,653,221,591,390,592,829,686,955,
914,696,405,568,082,263,913,810,717,173,402,334,562,745,329,374,118,055,529,
412,111,814,341,089,938,869,123,987,544,726,372,940,305,124,550,333,793,696,
436,270,351,885,656,820,167,812,476,585,993,439,030,453,259,058,129,130,669,
393,290,116,357,009,127,986,371,990,235,700,030,049,986,509,851,099,301,940,
863,414,758,594,893,430,452,385,628,155,988,797,996,266,298,238,418,254,846,
698,767,787,466,258,522,895,015,940,881,315,971,910,571,498,510,687,274,555,
448,531,151,237,844,647,550,611,471,613,576,470,973,124,370,864,446,404,060,
775,963,079,897,239,200,458,892,500,291,070,530,163,241,004,740,487,027,176,
836,012,792,116,897,502,598,973,492,759,012,037,901,242,122,602,168,664,651,
254,135,752,200,557,974,972,264,499,725,128,325,691,714,524,451,012,008,685,
312,078,025,480,431,509,731,036,170,967,570,465,065,042,233,574,436,889,107,
261,570,911,374,287,029,856,915,256,447,360,124,052,585,474,972,953,934,097,
484,937,326,063,618,123,978,933,563,635,343,484,718,049,449,031,747,576,997,
066,779,661,765,136,774,338,678,516,993,188,735,621,940,181,581,929,186,293,
636,576,092,345,106,196,617,203,530,338,327,843,884,844,351,164,991,348,836,
204,170,652,963,003,392,941,477,838,264,917,327,005,374,310,627,443,583,966,
124,371,846,461,735,705,854,425,010,060,756,258,398,797,136,682,420,590,271,
033,849,380,717,151,670,108,669,579,274,937,215,295,938,624,058,617,625,663,
109,001,590,973,495,460,150,994,433,997,503,280,892,823,127,441,567,603,977,
256,229,192,340,713,452,043,586,876,674,518,877,870,651,808,421,704,708,011,
296,061,198,627,970,649,460,472,620,640,090,078,242,810,251,907,929,227,973,
845,529,583,176,916,213,265,359,217,546,808,499,807,654,024,901,194,129,995,
862,959,722,082,956,691,867,694,539,417,457,947,206,167,637,336,033,875,012,
568,135,741,390,316,882,269,213,196,363,347,899,443,315,978,269,063,983,639,
498,826,282,315,790,340,388,556,705,938,125,400,438,033,557,770,655,704,868,
278,845,810,401,987,366,196,997,158,637,160,124,470,758,153,178,422,668,105,
949,126,145,253,124,971,820,015,862,380,280,845,351,319,205,635,451,961,944,
427,064,686,989,200,010,309,841,062,381,389,284,941,152,195,257,357,522,472,
735,433,309,319,881,857,459,954,412,959,121,602,393,662,924,632,110,880,575,
278,087,679,426,249,241,567,308,234,571,849,917,913,210,046,099,674,657,173,
380,862,028,947,275,951,501,907,809,784,148,178,361,004,341,306,963,549,093,
226,141,642,230,135,885,744,975,930,663,531,813,570,504,860,583,937,914,237,
500,888,575,446,266,635,342,374,783,642,980,279,822,227,461,846,462,441,736,
667,819,700,045,568,202,131,576,298,466,265,571,789,021,866,683,015,546,498,
963,670,447,868,502,708,512,424,650,666,325,549,910,063,919,586,972,199,215,
111,446,087,131,358,021,208,159,061,886,935,994,992,631,536,165,103,789,962,
701,643,887,057,536,746,157,139,590,769,893,930,631,524,354,812,560,464,285,
477,155,335,625,319,918,393,952,265,885,893,267,664,275,517,762,021,383,279,
517,565,644,435,154,791,514,850,698,117,852,179,097,777,531,049,948,950,102,
955,676,546,471,051,514,022,408,114,012,293,969,510,970,498,833,962,352,518,
413,273,408,347,995,650,654,377,451,236,230,282,289,306,941,940,135,022,220,
039,663,922,615,056,270,774,024,534,465,730,935,400,901,854,518,314,484,866,
189,793,477,299,907,624,451,428,078,390,600,466,355,332,754,326,328,197,971,
441,309,383,291,358,980,539,725,382,182,960,115,286,749,607,953,506,330,699,
269,885,845,257,535,140,209,127,058,707,779,781,853,362,029,792,654,342,747,
678,319,916,455,793,248,449,700,639,032,259,520,301,481,588,519,965,635,652,
021,082,543,108,582,808,596,958,112,346,835,820,004,462,176,758,609,314,043,
666,768,261,117,680,669,247,493,835,179,073,671,532,387,115,323,869,863,875,
508,897,319,921,568,666,640,302,806,513,523,916,635,433,713,778,102,417,518,
455,035,511,897,224,083,457,514,619,417,416,200,214,720,426,479,132,564,695,
819,054,923,431,780,405,847,999,306,566,046,991,138,561,748,717,814,168,003,
429,835,460,034,907,773,474,354,678,854,838,540,389,716,543,065,616,576,596,
027,878,470,989,046,028,264,839,918,078,335,326,462,396,882,702,961,912,816,
688,568,715,812,245,696,412,666,199,944,185,023,681,813,977,837,404,886,598,
493,632,615,661,761,221,654,991,614,218,104,671,722,293,615,468,860,534,641,
564,599,256,413,614,031,559,702,494,461,780,774,987,039,672,126,809,952,527,
392,523,191,512,441,546,805,961,947,250,646,208,354,711,011,280,702,737,263,
085,219,481,233,429,256,938,225,465,834,541,573,751,798,929,995,373,173,603,
339,450,673,412,762,696,612,858,768,352,531,765,234,107,994,635,323,441,484,
865,635,786,974,822,115,969,200,269,043,823,723,455,330,205,134,513,769,776,
329,856,449,970,632,576,485,273,305,284,880,916,575,081,748,927,071,319,047,
870,163,833,878,710,937,529,168,854,686,451,636,186,190,794,569,416,049,843,
373,435,839,282,385,817,919,081,752,733,245,814,960,763,338,767,460,956,211,
772,410,894,337,040,454,101,466,526,214,394,605,857,998,445,054,803,187,276,
941,135,843,682,692,475,168,842,881,879,444,418,795,782,296,493,682,725,910,
484,274,444,646,796,801,809,757,223,412,238,820,138,521,071,211,162,231,779,
503,255,377,162,004,839,718,547,293,831,603,801,947,455,487,473,592,034,112,
156,822,714,416,669,241,231,341,864,863,737,305,015,885,745,723,901,778,252,
953,151,735,092,785,782,698,587,378,628,141,426,316,082,986,760,132,125,142,
142,453,975,138,784,054,391,860,176,607,311,510,600,088,049,620,781,249,823,
330,172,087,019,765,265,793,039,847,347,690,796,285,259,365,849,573,091,901,
453,022,967,944,485,225,101,236,271,861,697,963,988,240,423,139,307,360,829,
563,628,610,042,682,697,653,268,847,767,413,757,202,830,474,753,191,856,646,
789,209,440,948,630,480,779,521,107,198,895,075,227,976,108,904,667,416,712,
798,843,327,978,209,556,164,965,709,117,037,737,857,699,917,616,097,236,715,
322,453,685,152,898,895,032,921,510,028,826,142,810,918,693,626,838,607,381,
312,678,871,907,831,551,022,661,520,767,297,294,924,221,676,976,798,471,451,
821,270,952,877,148,788,907,480,691,226,552,373,905,391,261,686,023,305,396,
210,528,580,725,297,886,938,663,917,598,255,402,530,828,058,392,713,245,689,
642,865,122,586,039,490,944,889,000,271,826,763,286,464,193,017,467,175,595,
224,014,656,445,408,875,544,795,969,962,577,050,316,027,270,318,023,218,230,
641,646,058,355,261,747,024,779,817,994,606,529,484,738,274,319,756,982,014,
612,724,206,928,545,947,520,888,266,914,878,856,438,255,961,506,841,667,996,
988,133,400,080,555,842,878,821,465,585,634,331,832,029,165,265,974,001,662,
301,700,661,026,081,125,287,994,701,403,585,296,135,694,974,022,538,726,786,
212,906,716,954,514,258,081,651,240,865,284,206,932,323,822,399,779,426,656,
409,816,051,929,867,979,054,743,713,414,969,342,482,090,436,412,897,764,093,
201,006,464,055,167,293,471,290,509,439,244,022,745,660,107,343,412,272,370,
111,218,419,500,704,357,732,267,805,286,128,178,108,386,512,856,525,876,284,
868,788,225,419,159,103,348,443,853,420,840,614,317,520,006,864,716,790,871,
914,976,383,717,329,696,803,822,284,753,199,828,328,485,466,942,265,205,372,
930,425,470,666,882,289,680,072,409,385,297,761,627,755,185,869,375,775,355,
383,562,578,303,593,285,495,090,615,111,539,958,658,471,560,641,392,619,452,
763,108,289,181,331,554,773,107,997,054,912,422,214,421,496,644,547,519,724,
847,896,059,088,383,800,612,157,393,693,910,755,347,756,185,058,601,760,620,
016,192,648,011,891,077,839,305,537,818,810,098,896,009,434,726,930,784,624,
338,470,037,570,170,467,721,603,496,810,223,304,151,373,580,521,263,081,483,
906,937,712,275,026,882,666,095,034,091,152,015,027,342,445,774,222,565,974,
128,005,612,438,201,433,477,401,497,443,538,797,801,223,972,152,588,597,804,
562,118,290,765,439,828,000,909,562,295,732,764,962,495,657,574,931,753,908,
441,976,905,591,389,342,652,934,167,569,361,553,224,877,501,537,023,498,482,
143,796,040,186,297,039,076,437,138,573,185,342,904,873,301,493,552,126,934,
231,458,712,266,034,639,211,566,348,004,158,682,447,033,172,146,928,984,009,
601,203,170,280,448,369,477,889,399,201,810,794,063,730,959,350,611,933,984,
151,365,799,027,213,123,471,270,039,004,553,380,358,198,686,841,390,289,448,
135,221,621,167,505,635,766,674,539,481,297,127,888,298,739,293,914,111,066,
015,619,505,053,016,073,648,052,316,140,349,168,986,024,768,449,610,016,425,
625,117,509,964,335,095,501,210,942,489,990,829,068,092,344,001,593,172,881,
314,498,149,637,649,318,075,949,617,306,173,779,845,676,470,447,465,163,491,
177,409,776,556,163,190,647,512,375,396,666,999,302,586,573,311,755,044,218,
467,887,286,536,796,417,312,173,848,783,324,849,072,451,026,247,453,465,361,
991,455,361,630,571,798,693,430,057,419,379,868,006,053,531,409,288,784,988,
396,588,550,380,338,915,461,576,455,639,804,692,906,487,566,249,500,558,792,
776,920,251,132,647,367,112,199,474,366,850,827,594,385,928,326,926,208,737,
655,878,653,185,043,786,641,910,306,771,518,761,009,026,495,234,014,811,824,
006,962,667,097,093,843,988,234,481,659,896,221,357,753,560,277,601,492,110,
870,429,547,070,883,960,642,859,487,537,084,931,140,134,077,607,189,035,757,
761,463,445,204,805,199,699,483,466,643,077,700,554,517,026,717,429,522,462,
388,268,462,271,046,321,939,015,030,226,164,779,498,429,080,791,932,110,869,
211,964,010,799,187,844,343,503,375,908,055,763,166,110,203,637,668,360,759,
341,652,099,005,719,587,461,855,765,442,596,162,055,524,195,965,953,372,052,
220,557,244,116,103,308,563,353,191,830,838,836,455,309,610,947,745,184,470,
284,638,499,563,765,265,390,867,468,015,071,406,754,786,387,550,581,479,770,
573,029,026,779,733,991,668,036,174,643,212,901,089,653,834,800,397,367,607,
462,607,825,440,149,525,336,352,989,255,598,250,887,264,343,492,667,256,208,
055,694,553,871,528,786,021,315,372,652,264,135,975,920,290,416,382,386,557,
133,598,403,168,026,428,311,827,139,656,911,507,210,662,455,206,767,020,348,
369,242,451,315,743,203,248,355,010,553,117,703,289,504,416,148,517,634,865,
675,100,584,525,382,203,507,034,008,368,941,759,254,374,904,731,520,622,073,
948,938,462,985,415,904,552,316,508,560,687,527,865,623,617,200,621,476,911,
901,220,238,819,580,254,769,755,644,027,351,757,376,128,322,195,833,129,799,
779,309,845,401,948,651,789,066,653,973,162,146,169,549,179,208,463,924,416,
912,412,316,372,618,940,021,975,063,158,518,181,680,437,926,111,889,031,709,
977,825,235,978,660,343,833,816,188,068,201,776,562,198,562,586,508,169,311,
159,409,118,449,330,054,374,468,738,686,497,814,903,514,571,052,471,172,972,
638,786,423,075,174,053,512,163,306,662,482,789,415,530,394,838,361,682,603,
353,213,336,190,681,505,813,869,138,124,550,951,959,845,585,166,859,833,132,
496,306,398,679,767,007,115,675,068,449,853,712,860,132,393,852,115,296,406,
839,363,028,123,395,758,903,662,391,147,917,057,563,807,907,060,541,347,577,
867,215,559,778,750,426,319,121,254,404,883,912,553,497,514,587,233,472,393,
654,354,924,848,353,957,419,560,765,198,279,937,220,371,406,546,721,716,296,
648,322,582,581,148,125,763,353,505,131,073,997,120,371,809,730,348,610,962,
570,913,171,819,786,053,264,017,141,973,927,919,147,296,442,899,200,065,104,
269,699,049,054,062,713,573,995,430,208,855,778,541,421,336,765,143,848,441,
115,423,294,545,056,173,752,371,638,532,042,612,995,232,188,645,991,323,135,
402,949,113,842,588,367,637,915,088,433,104,817,891,824,643,206,940,948,621,
892,633,181,078,365,694,037,328,769,999,549,732,916,607,414,592,652,755,928,
643,627,151,058,967,299,208,875,490,904,386,491,875,880,843,110,630,890,069,
810,781,800,159,955,492,876,172,338,463,235,107,176,697,513,656,547,772,316,
849,507,389,992,764,481,315,538,713,150,795,792,595,324,107,866,094,588,236,
853,036,084,496,597,967,905,992,056,125,313,294,480,949,877,413,337,437,326,
663,014,535,354,066,770,901,601,206,537,248,094,639,874,299,857,583,621,008,
415,387,570,552,869,049,123,328,749,634,738,358,390,196,167,285,018,797,602,
689,880,360,299,062,046,532,076,601,723,545,169,415,190,014,725,970,615,434,
439,678,078,135,141,993,187,938,084,528,535,574,976,285,764,607,965,825,691,
472,151,867,460,693,889,243,958,683,209,418,905,687,160,228,867,454,157,123,
783,751,095,551,622,400,539,739,621,456,820,958,172,886,339,622,304,990,077,
633,055,944,157,109,064,755,357,642,443,509,270,335,274,111,225,000,452,400,
433,433,934,991,004,687,805,252,851,165,736,282,871,898,700,605,878,165,802,
711,896,442,165,161,942,600,238,399,671,231,794,655,407,810,165,978,282,205,
405,215,822,343,795,811,810,406,530,697,383,007,680,345,871,425,052,154,345,
566,249,797,428,630,694,845,097,473,173,154,824,336,909,367,182,620,352,675,
809,086,187,930,185,177,146,592,779,984,606,075,589,553,050,478,133,787,347,
476,270,338,588,680,040,062,370,665,730,110,414,445,026,068,335,268,502,438,
987,796,262,105,106,259,073,388,946,155,500,001,130,176,897,019,668,106,476,
432,121,016,899,911,097,228,140,914,783,881,020,484,068,834,653,301,915,077,
774,360,405,862,937,400,236,159,829,360,374,012,999,943,155,713,250,344,778,
075,089,148,691,119,715,902,147,736,395,163,667,970,659,420,955,158,702,102,
275,479,759,472,622,942,791,461,540,983,301,434,254,051,043,552,455,138,652,
299,113,569,205,210,807,199,415,145,865,138,634,357,604,888,161,393,624,657,
751,111,985,562,331,324,331,311,236,126,615,315,281,841,616,188,293,200,462,
918,287,074,465,608,994,193,458,129,021,232,996,031,913,979,785,580,688,036,
814,861,610,947,157,660,300,731,698,163,851,524,587,840,466,016,234,444,615,
312,552,709,160,559,763,429,352,933,751,209,685,013,432,010,029,166,813,533,
143,921,707,526,390,247,753,939,449,405,681,831,850,594,180,745,461,603,301,
428,624,833,959,647,126,662,794,446,329,242,846,759,010,350,184,366,651,497,
620,567,511,905,792,292,542,621,471,442,838,291,824,488,664,382,294,916,721,
457,736,593,692,037,741,192,155,600,017,679,217,313,861,445,816,444,959,416,
469,126,665,153,807,650,957,360,909,495,811,182,497,521,111,954,983,319,569,
842,729,740,501,441,019,013,035,475,110,574,737,259,547,842,886,658,905,852,
046,977,330,668,000,077,819,322,453,301,637,288,084,314,372,829,225,138,555,
219,064,870,890,044,357,165,088,822,323,909,843,090,876,242,412,818,471,080,
405,978,194,189,328,948,392,432,442,299,863,474,749,963,351,258,831,046,337,
596,648,337,743,283,583,569,728,259,843,351,680,091,225,700,813,798,884,460,
504,216,394,361,771,103,909,358,723,119,201,016,879,966,604,804,582,132,783,
457,299,595,464,571,529,142,432,023,893,131,239,767,930,069,331,265,154,769,
600,913,330,570,301,301,034,014,186,875,235,712,114,601,471,615,953,153,151,
895,797,682,720,572,212,897,233,743,391,111,608,697,315,266,968,876,787,200,
466,695,461,879,458,308,968,472,133,206,584,922,398,406,921,585,387,568,358,
591,030,934,185,648,269,713,593,547,242,132,310,157,339,056,517,241,788,381,
295,785,243,663,098,249,939,738,371,555,340,956,797,847,170,379,107,593,200,
009,208,184,742,921,663,669,646,903,970,610,937,737,023,443,377,649,457,054,
498,323,898,582,847,888,371,369,189,448,536,571,236,893,458,196,888,532,776,
967,186,444,739,028,038,506,064,695,992,748,117,262,329,442,318,181,058,332,
248,961,991,111,305,377,445,909,008,958,620,319,936,964,340,369,566,160,239,
327,646,475,867,282,505,512,307,129,455,326,168,880,736,503,844,129,441,951,
512,234,958,970,108,806,938,547,145,907,306,203,822,069,330,639,480,119,637,
141,854,208,193,570,816,362,601,187,936,419,063,516,825,801,667,547,200,765,
363,227,594,153,419,329,619,589,584,971,064,545,640,877,132,424,168,902,387,
948,200,163,938,599,465,114,184,189,171,561,432,394,886,580,476,377,360,750,
269,541,774,791,019,933,026,237,806,772,074,108,021,720,436,559,725,633,061,
914,919,275,801,226,144,718,216,910,177,704,419,777,771,161,557,672,918,634,
893,550,918,620,753,526,406,448,195,565,298,617,033,613,683,075,790,606,863,
870,612,659,069,080,573,844,044,865,567,231,327,539,699,378,369,467,748,588,
975,408,604,264,931,004,164,359,168,979,826,346,789,163,683,575,064,609,844,
561,165,994,386,922,713,889,434,918,829,672,763,033,118,922,037,831,734,333,
823,907,704,899,784,045,897,189,421,918,978,997,583,349,325,604,598,739,753,
620,324,420,373,801,249,438,622,692,580,964,146,033,704,623,036,203,386,077,
371,323,922,300,681,091,393,080,931,342,604,494,373,371,759,696,632,844,137,
924,602,746,554,095,524,718,479,738,165,497,723,761,584,594,170,181,286,891,
878,426,386,029,759,461,933,878,023,073,339,258,557,696,075,406,408,082,358,
609,935,504,273,383,337,128,784,581,677,384,601,080,382,565,510,166,100,275,
456,983,341,250,415,430,649,876,888,370,592,789,368,229,406,433,826,756,578,
341,728,535,006,772,645,115,224,791,889,865,484,106,555,938,895,434,763,211,
904,735,660,800,150,350,007,220,104,758,257,028,841,050,006,815,722,698,574,
420,228,489,883,069,007,773,333,217,602,605,599,187,516,545,277,166,119,584,
375,598,126,262,988,481,913,946,857,533,459,549,143,750,746,081,539,396,156,
381,270,637,753,085,044,072,981,308,818,377,365,012,754,590,128,025,292,071,
452,060,514,645,439,032,838,982,733,062,704,215,371,032,628,424,341,745,877,
911,793,413,185,309,132,594,408,899,502,992,046,752,102,170,568,258,912,557,
499,039,921,279,890,079,391,565,276,573,194,621,548,680,111,752,578,838,130,
166,977,891,358,688,492,294,032,057,274,836,390,451,182,533,447,770,416,172,
978,657,454,677,148,332,168,050,807,313,588,602,734,567,209,610,702,440,766,
273,775,290,484,689,176,031,620,359,508,811,027,483,796,739,081,685,753,193,
406,223,017,772,689,822,953,878,035,838,727,483,935,436,924,986,753,925,613,
681,864,478,471,270,493,170,823,302,279,925,152,573,668,240,058,041,723,336,
528,351,468,413,885,267,251,775,779,565,136,119,386,793,830,070,894,393,023,
003,524,631,453,772,800,607,528,749,158,647,427,701,081,144,910,030,875,748,
113,396,070,555,387,267,507,761,977,131,610,299,678,687,302,059,909,775,740,
202,725,114,535,646,194,997,068,257,366,191,795,176,103,275,268,420,865,072,
975,189,419,682,909,896,465,522,286,922,670,386,032,542,499,880,587,995,376,
217,409,181,850,007,411,873,324,158,860,918,894,155,366,817,297,969,362,596,
604,849,133,730,142,641,978,207,217,134,390,628,794,329,319,563,188,371,704,
741,209,345,629,867,564,962,135,361,538,490,644,247,785,977,163,950,461,906,
374,470,477,452,650,487,749,650,395,327,100,036,859,909,192,356,796,725,568,
556,932,656,251,278,435,701,765,491,313,347,156,725,537,470,026,520,472,877,
786,582,236,167,264,686,271,711,121,696,986,371,482,425,163,189,975,759,794,
699,586,449,074,641,492,902,238,019,797,881,164,243,641,336,240,377,639,866,
945,730,726,758,204,603,223,153,564,330,241,243,541,169,688,289,573,652,902,
232,020,116,272,769,104,087,102,952,301,431,983,260,601,205,081,909,625,067,
767,807,868,818,687,568,889,752,102,648,290,505,586,981,268,841,777,397,194,
857,849,186,194,203,400,317,700,337,937,629,407,978,860,941,392,343,118,782,
527,951,270,736,893,948,531,892,451,581,587,520,109,247,480,415,468,394,785,
716,276,465,486,557,381,248,193,915,397,990,191,363,014,307,489,762,734,012,
171,346,042,784,856,817,230,199,606,396,181,145,713,190,036,083,721,500,626,
637,888,918,892,467,270,777,436,813,128,129,997,760,570,354,886,485,659,423,
900,903,533,306,436,948,438,338,344,928,579,613,050,380,108,303,089,122,137,
256,054,510,243,711,930,499,441,511,489,580,377,335,479,403,813,715,852,477,
617,241,156,161,606,195,814,848,895,639,340,825,146,265,468,149,868,464,940,
814,282,767,390,092,576,469,818,509,022,551,413,455,731,262,076,463,469,167,
526,587,374,634,844,207,123,194,280,286,988,543,972,904,298,875,865,477,268,
557,848,867,675,334,087,968,469,209,383,942,776,855,960,930,427,232,502,241,
098,503,079,833,743,363,159,707,605,279,517,199,845,315,818,934,925,830,456,
094,956,328,995,662,218,394,791,323,022,498,204,830,346,709,926,651,751,493,
126,340,080,308,891,931,265,122,407,417,100,199,602,547,275,894,190,102,359,
594,905,739,066,466,056,424,494,947,348,926,880,959,181,231,991,197,617,121,
022,381,522,406,710,385,481,019,083,136,364,599,310,465,928,668,031,133,913,
471,883,878,592,423,991,377,679,488,851,360,999,879,426,123,260,778,456,403,
460,686,339,383,465,965,019,033,478,317,164,492,822,446,423,770,363,280,355,
557,190,418,448,165,945,089,826,672,526,068,468,335,832,824,851,433,913,130,
660,343,159,887,851,640,032,798,598,331,911,712,871,641,543,963,126,441,523,
962,402,235,079,174,697,647,372,344,198,782,959,442,562,207,143,858,370,891,
027,480,904,749,608,343,161,501,736,550,445,679,844,344,025,292,189,581,925,
187,793,421,947,340,806,565,844,655,782,996,292,893,509,906,730,424,381,984,
317,467,236,528,851,175,272,589,783,818,077,564,742,347,727,409,757,620,783,
378,644,952,204,535,186,672,780,063,030,263,805,393,733,113,304,685,490,981,
823,056,540,549,483,532,642,054,976,925,577,069,562,158,820,099,406,117,404,
085,448,617,955,373,170,260,026,780,490,496,710,618,985,863,350,951,756,832,
887,510,720,927,240,658,471,486,722,199,353,087,055,017,564,956,092,024,689,
196,513,023,752,348,727,355,310,672,756,909,575,618,397,141,525,923,420,022,
533,499,860,453,095,035,287,809,039,867,735,564,231,638,165,304,401,792,893,
889,573,824,466,950,407,841,447,807,330,047,158,869,670,678,236,898,900,671,
702,460,434,198,756,672,044,825,781,913,311,597,623,825,894,636,261,194,351,
771,642,344,657,412,259,022,920,900,605,314,422,411,137,546,650,802,141,232,
269,385,247,591,604,501,931,811,371,607,964,167,600,922,742,471,638,392,928,
533,516,887,886,485,214,966,026,952,610,621,105,595,937,915,926,887,556,824,
858,254,156,772,719,531,406,506,876,977,016,289,268,257,892,300,917,279,506,
970,196,413,728,598,948,537,828,843,029,289,458,150,941,295,479,245,963,095,
755,037,152,989,615,732,964,695,717,181,536,718,038,318,205,303,752,548,583,
211,237,393,934,100,597,634,811,168,548,491,278,832,695,486,049,423,025,365,
606,540,261,797,310,467,026,090,036,511,255,483,844,644,395,457,918,809,136,
808,842,492,047,917,413,349,110,044,233,461,048,619,049,816,889,385,854,591,
776,654,354,502,863,780,978,207,461,354,024,958,651,589,851,205,198,515,000,
045,004,086,173,862,647,935,786,044,468,487,904,026,247,154,456,450,616,932,
474,274,262,079,047,285,703,185,934,742,262,684,369,622,758,224,846,873,910,
616,126,304,657,926,873,293,545,815,843,974,996,482,530,457,648,725,710,274,
261,736,950,816,929,866,324,228,924,060,591,063,033,083,114,422,111,117,564,
433,054,610,776,608,041,040,292,876,068,310,170,678,556,516,153,244,386,656,
995,606,081,444,093,985,875,946,960,215,022,186,708,075,026,034,820,258,580,
376,785,124,274,307,588,223,297,055,064,888,873,028,972,572,058,162,957,246,
190,678,849,237,423,029,256,084,907,555,713,873,912,496,499,690,403,704,622,
919,958,312,119,940,869,560,534,106,011,186,762,167,991,149,283,083,186,269,
055,199,406,639,910,814,913,773,677,837,940,565,579,626,517,736,932,987,632,
297,542,039,918,845,322,360,335,935,865,891,457,652,033,238,701,356,852,805,
247,035,423,960,869,241,696,005,920,224,111,789,352,579,247,385,412,983,909,
708,545,420,601,589,764,164,688,159,583,741,951,418,832,729,280,353,015,928,
554,211,543,656,183,499,109,096,316,730,754,080,934,790,302,858,142,620,941,
010,164,099,750,849,537,831,465,321,824,620,806,234,356,983,158,317,181,430,
828,893,135,610,974,093,504,962,227,130,488,565,614,057,243,779,965,046,551,
723,402,892,697,719,479,690,324,752,471,061,717,336,383,992,131,581,263,793,
828,530,124,277,511,277,579,638,174,361,720,873,623,539,805,131,712,441,611,
027,272,889,389,600,091,816,261,281,901,118,072,323,959,096,185,093,184,895,
786,656,310,963,206,994,903,503,858,869,761,004,669,788,624,757,265,037,915,
889,662,483,067,933,007,215,355,439,982,523,241,317,019,007,602,109,658,288,
944,100,292,294,785,972,208,798,166,629,188,143,365,401,673,327,880,016,922,
960,089,050,883,175,604,525,456,862,066,051,094,316,218,332,401,592,269,021,
956,436,188,222,484,305,152,983,112,560,054,807,963,612,546,416,562,452,277,
721,931,775,993,809,443,903,236,745,573,282,338,636,391,555,672,411,086,983,
598,220,501,822,165,049,868,097,319,901,330,090,254,442,834,771,125,253,071,
228,667,190,707,039,127,634,390,080,257,484,186,319,926,231,725,744,234,875,
397,059,623,473,697,746,826,007,989,101,295,929,776,883,932,200,552,027,683,
130,795,159,216,047,928,244,921,138,522,309,495,885,420,792,966,865,889,136,
385,341,704,492,071,215,519,887,832,555,439,243,728,921,286,630,617,061,519,
080,807,983,666,379,169,364,394,375,552,330,295,130,821,391,629,964,834,978,
191,120,053,326,728,109,496,438,576,525,305,753,605,857,773,300,579,097,781,
424,512,968,165,928,978,708,632,417,589,283,482,695,167,666,404,530,858,789,
039,185,178,105,794,652,831,535,796,484,029,969,112,850,746,619,770,085,550,
615,213,606,275,181,976,431,945,069,995,108,240,190,485,912,461,197,281,127,
718,611,365,695,858,332,798,317,836,534,500,265,578,781,068,250,062,043,327,
393,754,442,456,971,698,525,468,740,626,049,522,831,208,394,836,529,245,642,
042,945,104,897,643,825,169,262,233,466,400,902,295,753,626,189,711,375,943,
947,372,967,051,818,679,478,570,618,968,755,642,631,849,729,109,305,303,751,
007,234,341,578,363,608,705,104,645,567,964,045,582,553,258,103,897,294,428,
436,807,638,930,063,386,429,307,406,716,463,212,208,336,096,481,587,448,880,
414,620,878,224,228,847,681,897,567,719,466,707,691,162,103,780,176,866,840,
905,344,965,894,862,926,066,076,246,873,329,026,998,133,319,528,418,444,160,
322,954,621,161,869,702,696,477,795,731,250,643,043,946,204,235,474,291,098,
423,137,326,546,794,413,921,804,178,351,087,203,577,493,125,209,278,386,907,
812,678,557,552,056,593,066,759,544,639,199,354,819,311,397,068,508,312,574,
200,242,684,441,585,331,783,215,567,325,426,468,755,199,585,928,271,896,194,
881,993,659,506,029,983,904,625,627,744,750,192,289,388,811,325,479,346,659,
168,468,407,766,094,005,704,761,701,151,677,494,809,226,008,927,736,139,190,
862,813,697,049,154,964,294,978,766,934,957,338,034,693,986,453,867,294,942,
374,736,454,532,485,775,721,331,613,702,150,226,426,534,252,344,505,356,259,
655,011,430,906,833,773,873,721,625,022,098,820,292,147,255,152,260,713,467,
083,096,626,304,705,787,376,450,298,797,549,156,366,159,454,641,296,888,855,
739,974,640,115,471,142,495,085,181,654,784,820,202,328,605,013,597,735,419,
322,970,170,662,519,412,890,554,611,080,573,909,634,280,720,772,684,633,374,
030,414,657,548,655,214,879,412,423,768,635,662,175,889,281,672,566,751,238,
748,575,509,136,127,362,271,051,446,911,745,414,937,843,420,947,452,884,327,
782,731,828,054,177,002,114,325,871,669,690,185,506,354,339,515,061,425,116,
901,895,730,682,989,234,874,952,975,607,569,463,840,375,997,934,794,634,880,
315,258,118,379,175,589,264,341,347,089,621,628,553,871,663,751,205,472,064,
110,453,026,742,788,011,663,103,597,945,542,343,141,180,845,162,482,582,982,
115,948,582,608,938,206,860,317,742,437,678,526,731,184,199,431,590,724,177,
744,398,919,929,842,859,954,485,309,305,357,125,570,734,869,990,756,637,156,
565,704,161,776,896,384,535,079,052,886,922,240,934,900,398,630,788,405,052,
474,794,818,441,127,355,172,906,438,256,468,597,518,151,666,787,604,716,940,
355,689,215,621,606,752,850,127,107,273,712,660,891,298,683,264,476,285,466,
074,082,672,221,506,677,764,674,000,828,056,175,254,320,199,176,946,704,130,
738,135,140,634,866,356,596,075,903,439,638,007,226,683,298,121,402,291,431,
455,914,789,214,517,136,905,307,972,597,227,673,572,601,772,009,502,929,611,
287,334,130,928,940,906,490,586,538,520,450,208,494,973,852,862,781,320,486,
237,273,521,199,875,408,012,161,983,545,289,799,441,093,605,337,780,013,077,
567,811,562,442,958,376,731,555,149,211,518,301,635,755,317,191,428,917,422,
077,265,205,939,608,933,790,695,815,917,505,643,345,175,104,237,695,437,653,
241,688,258,911,942,863,964,829,312,302,396,093,085,034,104,633,047,892,010,
934,248,328,551,378,412,652,822,858,018,261,599,671,766,211,288,634,132,720,
415,294,424,852,861,772,278,449,944,030,007,025,750,990,308,838,580,381,472,
494,310,969,300,871,766,685,265,463,969,136,768,207,404,951,035,690,977,171,
785,679,401,249,146,624,453,855,624,397,368,610,023,969,032,638,624,683,749,
463,818,084,050,916,664,363,586,631,917,665,119,686,209,951,123,001,999,320,
829,145,004,339,360,512,480,334,955,646,595,359,170,351,446,849,166,259,754,
756,318,968,675,369,958,526,919,391,865,905,232,091,283,286,173,727,544,504,
526,833,489,083,910,358,149,564,819,416,242,109,563,406,784,871,708,407,307,
822,200,431,597,560,042,782,246,092,628,302,614,662,471,963,399,843,667,910,
056,077,966,564,247,870,084,326,462,020,459,244,534,698,591,688,888,763,685,
530,498,803,471,136,053,332,963,443,665,762,826,410,400,734,393,113,795,941,
788,453,687,005,567,786,381,117,703,220,212,853,388,380,505,694,145,650,209,
422,872,693,310,456,722,657,453,776,484,804,787,392,026,156,713,388,959,107,
588,058,171,254,117,965,670,160,000,351,518,805,217,908,927,071,047,177,392,
070,357,593,668,464,133,752,256,274,142,661,859,841,617,904,132,224,186,421,
584,259,382,692,521,641,154,889,804,815,029,918,119,672,372,435,185,932,727,
514,316,269,935,968,385,492,124,284,545,249,101,330,802,817,563,885,875,355,
269,778,530,053,943,226,867,807,982,800,366,232,291,796,006,555,173,885,573,
921,622,350,806,501,520,709,866,237,883,882,646,050,449,987,350,375,137,333,
013,763,809,956,312,299,480,501,497,017,786,544,604,373,386,871,060,562,417,
669,269,511,363,226,747,933,886,318,097,015,748,282,792,023,173,371,883,646,
566,743,163,783,408,130,789,371,685,956,551,499,093,105,656,190,417,786,305,
975,465,471,138,413,758,075,933,444,010,665,762,300,494,807,678,091,530,273,
769,588,478,150,826,311,582,106,462,902,182,334,323,060,902,151,673,640,948,
702,078,273,374,289,441,084,852,366,398,412,930,259,019,505,765,415,474,092,
536,692,540,125,746,619,634,110,597,261,908,687,262,438,231,037,258,948,022,
256,955,864,008,620,182,733,074,708,662,854,160,209,255,253,922,869,515,100,
812,404,485,187,448,199,153,995,504,234,812,900,737,339,176,828,205,885,007,
395,049,445,633,573,371,444,544,802,318,346,387,022,413,400,274,627,503,034,
643,143,465,866,453,322,914,191,903,195,577,838,018,675,381,778,984,629,969,
290,800,059,692,619,754,554,401,739,182,790,047,087,060,860,279,517,107,111,
064,119,876,905,087,966,844,038,481,168,887,053,987,397,767,032,362,981,016,
201,379,859,135,899,861,218,246,882,286,392,075,489,520,177,156,515,722,353,
045,647,904,194,039,306,636,547,580,365,480,727,932,031,075,624,155,834,993,
200,950,222,120,720,006,040,096,616,894,206,363,872,159,705,040,548,414,922,
063,278,618,801,503,860,853,272,791,620,029,923,872,082,920,014,383,942,336,
751,973,151,756,342,423,494,585,084,154,365,362,703,408,435,676,161,968,994,
475,555,710,061,114,636,524,039,983,520,646,017,509,484,364,268,023,154,174,
311,800,186,917,765,696,005,183,814,696,268,323,665,784,682,797,890,801,025,
697,477,757,128,120,267,941,484,425,512,268,934,261,059,520,276,920,684,676,
749,819,219,670,961,864,719,015,110,312,496,701,173,288,985,215,748,763,085,
488,072,571,984,449,208,061,488,260,313,669,926,728,415,400,244,691,193,120,
762,462,433,886,181,957,856,364,618,445,892,855,411,516,811,611,250,365,345,
722,456,748,099,135,650,459,965,349,094,245,212,390,794,305,251,968,371,417,
630,557,152,931,589,667,228,128,067,544,999,480,446,587,282,424,748,403,378,
741,395,866,452,322,033,205,227,803,471,436,326,287,462,763,030,386,014,093,
774,025,557,671,375,954,612,158,221,585,277,090,302,412,036,411,819,065,004,
316,805,839,450,754,938,463,810,533,507,024,216,492,403,224,650,149,369,116,
397,278,386,511,181,329,324,379,147,710,597,005,632,332,411,603,310,074,253,
932,323,699,485,698,249,842,941,863,594,046,210,679,255,993,548,877,902,840,
152,797,883,892,551,643,382,271,583,389,044,816,466,975,147,185,621,006,129,
132,901,236,991,993,980,467,491,271,375,784,842,110,174,330,029,727,560,626,
969,702,718,537,788,399,945,829,404,402,124,506,988,134,275,583,322,017,794,
724,341,627,301,492,023,235,255,298,612,236,151,912,092,700,619,346,294,479,
550,847,878,511,999,291,237,115,477,365,144,627,159,423,736,527,199,283,407,
074,674,052,216,337,592,605,308,747,852,137,533,509,457,334,925,318,526,132,
228,029,560,250,733,881,123,044,123,492,212,699,923,092,483,808,733,494,230,
154,488,140,277,834,454,787,171,119,344,585,948,122,351,987,559,627,369,909,
202,363,108,181,283,516,195,627,142,374,848,985,491,730,844,366,128,700,721,
225,998,498,133,953,542,148,928,203,050,593,608,243,777,792,713,270,271,702,
493,884,862,351,867,644,312,777,812,088,807,005,674,219,447,674,023,284,836,
803,860,807,177,170,654,596,353,664,730,732,820,934,582,415,581,029,834,022,
445,439,611,262,373,777,694,681,760,284,426,353,847,187,079,527,827,299,495,
983,903,185,238,478,898,769,285,180,188,057,375,696,683,019,010,115,321,541,
094,326,130,829,673,565,479,268,955,804,085,080,274,915,972,949,657,944,492,
428,615,810,330,102,689,963,605,511,144,142,262,823,738,248,707,335,491,633,
012,888,966,662,550,216,778,987,009,714,362,641,204,778,129,857,170,785,803,
664,034,432,049,346,606,511,433,566,378,650,682,106,307,087,956,350,435,482,
553,664,977,469,567,470,482,920,404,510,010,682,147,413,418,902,285,701,004,
732,726,441,028,969,306,697,965,451,965,272,528,506,491,860,214,933,834,392,
676,464,527,656,014,129,404,377,248,217,927,196,930,199,745,058,087,671,975,
684,024,792,274,067,737,699,289,559,738,364,001,180,431,184,921,799,475,339,
593,291,695,990,956,564,529,530,765,766,011,716,547,434,227,022,051,045,924,
851,535,942,676,289,482,554,410,713,967,725,966,553,164,662,271,047,358,505,
518,745,803,113,731,949,473,198,296,759,487,176,540,302,529,698,410,613,348,
561,741,761,911,410,841,015,888,195,627,901,794,821,775,654,714,776,449,245,
916,408,656,283,004,146,180,404,699,102,098,810,382,517,503,256,530,889,354,
569,502,368,347,406,251,492,562,279,449,221,096,218,272,775,279,813,213,052,
990,415,604,368,627,596,795,785,158,829,380,790,285,967,845,163,852,453,047,
229,972,410,179,604,564,164,527,429,720,750,019,089,633,322,895,786,083,694,
279,038,384,986,798,565,422,631,349,462,162,568,885,580,959,182,331,533,779,
414,312,079,000,329,709,832,942,316,846,869,353,222,697,919,906,446,312,095,
630,636,567,974,338,602,130,680,925,665,220,420,341,686,378,314,262,931,677,
165,423,421,935,447,631,819,086,077,033,203,107,086,913,454,950,002,365,400,
562,121,601,670,528,440,071,817,527,366,832,866,124,510,862,781,687,099,660,
937,954,647,717,396,141,120,009,520,972,939,578,216,136,985,041,986,608,649,
839,385,877,170,894,127,734,290,241,720,652,538,902,395,423,817,351,181,617,
398,765,328,322,936,074,705,511,238,505,515,123,597,962,327,950,522,994,270,
730,816,557,740,313,685,920,395,923,484,188,888,055,752,101,832,696,745,574,
072,488,719,382,001,639,059,176,237,057,336,139,692,999,915,049,235,872,566,
903,728,282,541,938,987,483,571,282,276,217,579,075,805,689,423,944,344,273,
491,711,039,166,852,435,848,931,727,441,665,413,148,046,720,699,922,616,946,
192,820,057,024,884,205,285,541,258,711,418,844,607,593,617,977,559,902,948,
167,247,356,337,801,092,645,930,827,948,151,666,821,805,112,647,424,846,307,
561,632,387,818,272,924,898,487,246,315,522,975,482,765,476,361,481,662,272,
896,410,934,239,804,779,787,830,742,500,439,303,760,517,910,960,343,677,772,
336,650,884,619,809,404,990,377,441,816,987,540,513,017,073,586,036,612,569,
594,382,956,165,209,243,428,377,553,779,563,427,088,808,537,404,892,882,442,
052,698,528,043,929,216,732,007,421,532,758,921,736,665,033,650,203,928,083,
232,710,098,212,950,979,022,275,236,567,093,114,132,013,710,182,481,212,655,
682,998,418,104,588,489,243,275,679,739,254,268,221,599,118,973,856,986,894,
123,743,240,182,524,642,288,250,304,802,802,111,607,742,188,626,566,291,928,
393,305,029,987,032,155,948,419,955,622,666,838,582,669,067,412,268,748,499,
949,279,326,728,870,677,513,541,140,111,460,137,419,208,796,357,166,487,460,
357,344,075,654,654,417,015,595,367,403,454,316,260,710,056,721,230,878,225,
167,791,064,512,075,620,549,927,608,777,079,822,751,845,752,842,140,323,905,
747,259,790,124,343,381,859,008,140,432,765,443,619,631,615,117,215,960,257,
933,737,551,653,357,116,234,154,975,464,750,716,231,921,834,510,449,336,045,
931,941,655,542,845,216,579,182,505,201,789,151,049,826,338,534,999,745,760,
054,912,544,416,893,636,191,151,431,830,334,666,308,577,727,062,439,696,410,
287,789,137,756,259,083,014,092,874,049,601,113,850,809,324,448,554,090,365,
472,805,707,782,979,617,855,472,905,070,477,337,092,994,335,298,936,559,576,
883,118,718,528,436,091,592,228,307,919,835,611,353,115,695,210,604,766,170,
113,394,535,381,968,616,668,947,799,969,463,603,673,580,216,366,906,653,914,
278,517,315,483,161,453,680,281,035,052,233,738,222,352,430,407,439,943,043,
442,723,897,908,398,213,733,590,738,940,019,973,226,329,818,539,927,204,842,
658,620,053,160,012,849,179,597,063,710,177,036,773,824,945,505,469,998,529,
549,460,228,201,893,268,149,596,041,924,470,979,297,190,733,309,733,387,940,
474,203,301,751,310,871,783,389,198,962,263,497,392,699,346,952,974,572,445,
977,228,497,677,912,703,176,583,544,966,481,563,769,483,102,622,135,846,610,
027,735,504,560,827,454,349,659,590,729,965,131,922,618,394,610,723,766,862,
705,271,481,493,451,534,445,123,654,013,824,979,651,644,876,414,069,546,849,
812,880,572,838,519,849,767,618,757,524,391,657,787,226,365,888,414,471,069,
894,876,293,026,621,614,198,290,212,605,322,987,319,746,713,669,522,036,150,
408,024,362,594,707,901,611,192,365,925,526,792,055,105,342,953,129,148,273,
498,264,781,663,593,987,985,566,105,052,786,706,378,682,906,973,644,663,438,
821,450,395,860,626,753,933,880,909,568,663,377,242,079,822,989,581,797,382,
481,553,577,271,898,512,553,429,255,894,184,927,515,126,913,499,455,181,991,
204,497,990,392,530,490,332,525,363,837,130,784,603,877,680,819,839,567,261,
497,100,886,571,463,148,266,298,883,470,014,494,489,759,343,231,903,421,300,
170,463,306,362,125,796,457,423,294,781,316,458,812,738,746,778,708,921,235,
493,753,514,356,129,038,398,470,456,614,115,379,437,768,179,958,441,082,297,
796,732,044,136,537,042,826,965,531,599,561,799,713,402,566,097,244,871,614,
323,058,352,715,340,487,076,355,167,924,294,820,918,205,527,829,902,920,110,
120,975,790,669,352,941,861,043,791,748,060,515,529,293,994,552,003,818,359,
547,553,773,374,169,738,679,573,343,837,401,586,280,097,879,475,055,573,001,
373,603,338,968,760,076,785,196,704,507,560,519,426,509,546,169,628,183,183,
106,246,997,006,203,358,107,699,237,851,651,355,815,002,512,957,982,740,336,
727,995,737,538,347,292,760,945,419,220,306,796,903,894,255,247,651,063,641,
349,238,814,352,101,163,134,053,082,926,359,198,827,363,195,341,080,863,923,
858,515,246,874,985,550,927,421,984,231,935,175,280,323,930,309,710,564,296,
990,945,209,191,999,888,897,688,309,418,787,400,702,722,861,792,812,493,384,
507,355,141,088,079,718,346,617,994,941,121,130,380,719,214,977,207,386,908,
755,678,044,333,310,270,890,466,082,956,330,687,040,497,186,745,800,894,885,
835,604,998,063,618,228,591,937,909,811,509,636,981,183,266,278,711,593,623,
927,400,995,997,047,870,455,183,341,236,703,936,302,193,625,964,804,756,043,
432,785,735,271,840,568,226,120,982,243,080,323,874,276,356,932,553,028,078,
043,253,235,185,988,305,709,262,003,377,064,489,407,626,714,531,875,950,407,
459,965,286,665,204,300,118,861,956,041,713,222,509,066,135,668,248,111,228,
539,389,158,446,887,685,214,946,427,162,944,461,451,876,370,523,029,857,189,
196,016,827,618,108,857,573,119,156,423,351,840,393,244,309,029,904,265,675,
515,797,091,359,511,821,416,592,137,158,261,890,715,225,979,619,402,759,820,
083,453,235,065,232,129,519,835,096,903,004,296,487,918,414,777,883,742,336,
774,484,428,550,288,314,075,012,748,655,336,867,598,311,175,555,909,820,679,
641,089,300,160,602,727,135,409,368,083,102,032,769,614,573,108,541,336,138,
730,238,820,618,300,931,934,481,382,744,795,961,378,480,553,708,751,944,039,
244,414,882,288,290,862,615,004,041,443,596,145,387,307,888,370,484,046,578,
914,201,064,656,915,266,374,786,222,843,467,258,452,930,683,637,881,688,233,
672,170,187,708,050,053,011,129,026,037,014,498,060,935,461,814,960,394,116,
868,522,942,163,059,145,400,259,320,026,032,551,774,925,212,412,599,166,894,
752,728,976,854,165,606,672,533,358,109,809,625,841,040,374,170,333,159,623,
201,684,466,738,629,317,652,628,891,827,626,740,702,417,911,291,110,242,723,
318,737,936,105,718,269,299,805,418,382,084,936,800,420,120,992,388,642,635,
916,276,899,225,759,349,284,032,404,228,699,018,324,409,447,271,882,783,894,
856,512,739,711,850,307,447,650,109,969,755,146,816,237,608,077,865,911,463,
597,706,662,991,361,289,596,446,436,286,876,567,448,913,817,775,182,365,923,
318,145,730,614,331,689,260,926,534,773,988,255,941,630,441,273,042,942,295,
344,244,487,902,674,727,915,204,761,292,309,629,358,159,061,051,724,459,533,
696,056,386,900,983,811,018,911,261,842,475,100,265,651,742,737,458,908,668,
782,963,404,991,334,501,781,668,223,890,360,131,169,544,933,670,079,489,096,
925,024,599,419,273,627,141,634,812,700,251,545,805,768,994,211,625,580,366,
822,463,167,403,954,444,485,530,865,431,269,733,781,495,167,184,366,301,799,
031,434,429,482,237,220,317,054,145,549,530,161,001,456,383,389,931,954,640,
615,690,320,910,221,668,650,165,112,016,527,351,304,647,820,310,466,946,055,
555,863,217,862,983,665,756,249,904,855,294,292,488,175,060,722,475,879,026,
255,759,876,799,966,902,982,763,757,277,501,771,595,938,936,025,485,302,975,
952,621,355,435,350,050,205,367,764,077,562,659,012,561,994,587,704,956,074,
077,710,337,645,598,098,669,490,361,202,504,065,563,463,614,573,949,952,771,
336,234,497,083,793,249,522,497,772,110,993,105,867,947,257,570,934,801,496,
247,636,253,528,818,965,227,013,094,019,019,155,693,355,275,010,163,237,826,
966,525,602,014,343,720,224,837,225,458,479,980,512,255,991,412,299,113,368,
077,556,131,365,834,241,238,436,546,941,660,419,353,026,543,792,689,234,129,
469,416,086,095,712,530,175,033,255,799,336,338,017,962,760,480,085,164,666,
487,905,246,756,892,688,019,746,653,495,073,296,431,843,879,129,932,348,119,
199,649,674,817,875,971,156,989,913,552,281,533,423,599,113,026,952,444,147,
584,700,925,278,457,650,799,712,507,883,882,069,302,679,688,982,441,085,389,
926,726,890,441,311,061,106,769,032,001,484,481,860,654,393,304,606,926,527,
073,069,695,174,912,288,435,890,332,108,139,807,869,486,158,456,367,381,688,
561,874,221,639,752,103,935,579,864,092,802,015,830,254,278,779,106,926,421,
840,236,179,488,581,209,924,513,200,792,691,844,377,431,492,530,633,980,744,
738,823,986,387,812,408,150,961,403,415,859,795,750,435,901,419,052,178,006,
010,170,185,888,944,152,132,439,201,898,436,501,720,585,191,295,101,845,855,
180,799,020,946,206,684,866,307,609,174,076,882,687,536,081,325,481,220,596,
551,171,629,730,957,897,454,518,078,040,413,831,597,654,260,226,190,129,855,
942,408,795,429,793,079,873,128,005,924,671,731,289,775,999,753,627,280,171,
109,034,780,961,433,324,369,144,041,604,390,096,858,082,464,038,692,786,257,
336,481,476,916,940,702,661,673,083,581,432,131,352,776,363,212,978,182,385,
595,396,086,300,630,975,978,761,347,347,279,512,224,760,196,489,196,021,016,
801,661,146,325,857,859,416,591,407,108,924,184,771,045,768,228,709,110,757,
087,634,246,741,911,862,155,640,673,447,664,025,955,621,296,691,664,326,063,
384,266,268,431,706,646,408,221,184,235,060,906,896,240,399,587,083,180,135,
568,374,097,420,262,215,222,811,997,037,787,940,168,866,237,578,431,301,064,
156,486,114,486,193,672,989,258,115,280,758,301,903,241,387,407,290,581,866,
345,935,133,961,204,624,963,704,614,971,191,014,013,932,913,271,197,332,842,
523,100,731,568,799,345,777,042,461,626,532,762,504,858,102,318,204,512,191,
151,340,511,690,665,654,722,773,781,283,925,991,725,427,938,735,422,243,771,
069,786,787,370,918,460,189,244,688,877,251,727,986,155,444,841,309,339,791,
159,790,171,820,743,995,123,555,240,245,702,651,601,514,681,427,946,341,319,
773,309,953,321,745,134,681,848,712,805,893,216,008,259,231,336,295,961,182,
714,844,234,856,085,275,442,865,038,643,028,366,894,668,867,175,961,115,428,
514,287,588,255,103,054,254,925,280,365,640,232,295,896,973,199,668,056,793,
494,939,473,799,052,892,296,115,309,308,863,190,806,201,894,816,569,911,376,
902,543,372,189,186,554,330,699,482,722,958,649,403,539,034,830,411,166,329,
934,770,793,200,853,156,371,314,221,401,948,949,426,351,677,993,556,467,211,
724,186,060,253,483,503,049,187,427,148,294,180,321,169,956,657,819,373,535,
133,707,503,427,957,776,006,888,361,938,865,630,309,258,827,296,633,920,801,
491,283,576,643,563,105,042,160,528,141,744,033,414,766,536,473,866,550,274,
836,544,898,928,689,069,593,990,505,106,273,053,036,666,846,916,210,216,359,
662,313,313,274,725,794,074,341,447,107,399,910,249,368,704,490,152,797,249,
572,496,556,148,330,911,074,151,978,471,823,500,639,643,379,797,863,385,637,
511,640,808,766,972,922,755,279,540,007,273,228,863,180,891,731,371,693,961,
713,702,203,894,533,401,099,159,773,002,214,543,197,078,338,293,818,806,088,
892,188,820,073,798,136,468,176,330,045,107,793,342,735,437,323,059,690,004,
757,931,709,694,711,356,175,971,126,839,617,146,990,593,088,698,649,688,945,
694,377,513,102,592,970,571,681,510,421,984,514,401,901,383,020,555,436,810,
973,269,903,016,788,840,039,758,853,789,726,716,932,552,056,153,470,950,740,
748,770,582,465,519,727,160,066,165,279,036,543,218,945,769,617,931,602,218,
421,713,384,936,647,245,989,488,860,514,416,314,619,117,219,508,191,875,512,
554,681,355,953,501,286,010,590,948,298,246,530,875,699,950,677,821,726,963,
270,198,026,812,872,738,790,669,396,217,653,015,645,775,529,752,504,669,864,
164,380,068,279,685,020,245,602,615,154,117,859,634,829,174,439,144,674,066,
157,543,803,948,322,795,648,373,129,073,204,269,968,800,217,012,094,507,920,
013,384,725,707,807,519,237,637,654,846,683,264,095,183,677,849,788,212,078,
684,369,948,522,501,892,853,074,790,725,738,497,289,930,077,295,583,040,502,
073,220,172,694,785,014,689,988,860,167,641,039,955,738,349,925,662,885,396,
245,571,162,992,667,067,161,799,111,522,224,726,072,683,812,625,397,724,245,
617,225,375,649,458,043,529,461,067,477,512,711,289,268,449,211,047,427,237,
667,706,874,844,517,272,773,707,500,414,680,172,703,917,221,173,059,313,771,
461,524,390,348,505,229,512,001,715,729,074,343,795,916,826,215,539,133,714,
646,651,877,629,273,430,062,333,093,229,988,231,710,401,456,109,025,802,413,
268,884,924,612,913,752,043,001,252,233,467,462,037,421,186,374,817,688,473,
957,303,795,589,581,106,137,670,922,344,986,943,362,386,160,318,224,790,982,
534,882,276,440,724,101,555,686,391,790,628,971,530,652,254,404,298,565,576,
851,310,325,690,196,290,708,265,321,948,481,071,847,765,920,144,206,845,595,
126,621,288,789,474,674,042,661,371,311,991,949,725,974,667,728,261,128,286,
512,529,437,081,592,919,703,489,809,983,748,102,559,829,443,958,714,686,822,
707,135,934,129,970,245,344,269,624,042,809,576,887,379,353,375,303,986,139,
116,189,393,267,288,401,011,501,785,427,385,931,674,777,904,346,175,137,985,
400,113,815,666,687,530,153,661,869,022,861,860,308,923,038,115,899,944,916,
825,604,869,972,718,055,704,321,533,990,344,459,686,523,442,157,713,580,862,
374,764,728,784,877,666,410,764,897,219,979,680,313,692,872,163,989,383,503,
044,391,794,642,860,237,623,861,353,392,131,158,030,911,395,324,402,096,832,
871,558,096,749,331,337,729,113,812,232,044,298,297,578,383,181,417,661,265,
499,198,666,487,355,516,274,622,181,906,465,086,922,891,296,994,338,068,689,
543,300,973,279,849,898,633,865,371,701,765,635,238,045,770,498,601,562,747,
384,460,043,006,431,694,930,238,423,736,843,252,253,406,857,844,720,839,680,
499,764,446,718,791,089,294,297,033,405,864,135,187,532,414,533,106,192,019,
030,602,352,465,925,453,807,984,742,158,712,781,729,174,045,035,434,803,401,
409,317,813,379,131,903,336,164,203,917,306,972,726,518,025,344,226,576,324,
449,852,153,141,943,740,916,140,344,282,540,987,856,697,447,320,691,097,331,
459,334,101,989,367,036,678,165,691,680,436,094,794,664,006,875,941,662,591,
216,559,356,616,774,934,530,474,690,212,236,714,950,002,752,983,504,653,268,
904,584,275,279,889,911,949,607,468,569,383,454,207,629,920,854,094,393,826,
766,637,922,148,458,169,398,919,556,759,812,972,493,089,020,430,763,685,208,
573,670,723,255,073,870,491,739,211,325,729,106,559,166,763,417,135,556,623,
218,723,900,938,032,214,005,379,301,687,964,041,138,460,749,930,853,465,689,
175,857,264,610,895,129,346,351,630,947,334,108,687,185,005,754,817,372,843,
539,319,097,171,416,816,375,599,367,008,175,013,221,435,414,646,506,623,799,
381,328,599,439,832,191,148,040,273,437,718,727,327,143,608,150,372,388,911,
988,090,955,644,975,474,861,783,809,474,760,887,874,365,131,080,269,095,655,
103,512,677,064,315,458,685,427,713,554,395,558,821,643,082,121,747,195,565,
391,778,296,749,727,752,901,464,631,192,287,343,021,548,154,351,916,180,859,
000,453,768,032,391,210,139,076,517,580,604,274,438,900,489,074,726,758,437,
068,950,609,985,471,241,759,509,429,966,956,047,271,323,981,611,369,965,441,
072,100,678,008,831,374,494,714,368,772,644,265,455,185,020,147,098,961,484,
491,621,343,210,182,426,147,841,473,381,001,420,766,112,349,051,859,378,307,
207,911,695,629,687,241,113,692,336,148,805,557,142,874,278,348,926,109,611,
913,283,829,279,998,590,454,713,042,509,036,487,253,000,696,510,549,508,673,
203,393,654,186,730,807,071,471,619,742,415,451,035,184,823,899,153,710,672,
963,732,649,287,572,492,080,422,685,134,134,794,811,323,096,809,165,374,032,
131,177,305,989,953,655,329,486,867,232,021,003,942,031,311,724,774,208,224,
554,532,750,667,121,588,317,656,166,648,900,184,060,367,727,981,046,916,069,
284,425,400,937,123,864,549,065,534,871,570,988,557,690,252,057,063,620,833,
013,678,303,329,679,995,408,475,430,460,514,029,344,117,855,542,443,357,912,
971,082,949,728,800,829,750,278,356,208,694,539,596,921,225,420,186,777,427,
966,875,342,711,069,608,487,230,614,431,201,010,138,861,092,784,749,137,512,
748,817,896,120,675,929,607,643,027,183,575,447,339,244,440,450,352,113,641,
133,918,787,794,701,564,085,511,003,607,272,231,235,709,026,270,515,187,799,
500,934,810,759,927,737,502,269,557,139,313,060,202,454,168,017,510,917,555,
433,830,710,431,167,084,261,946,263,480,223,787,618,609,428,509,437,044,524,
491,205,580,422,280,169,915,970,479,393,769,148,029,837,563,116,054,860,009,
496,840,891,148,048,775,889,079,945,522,545,290,974,188,945,809,383,147,592,
492,459,819,975,045,691,772,336,108,849,881,101,664,958,893,037,134,116,269,
252,277,716,197,229,009,158,503,033,398,878,133,085,752,410,797,486,306,949,
436,502,862,258,369,917,397,346,688,279,439,725,243,944,577,941,600,421,706,
765,832,399,883,028,606,248,288,043,216,981,001,013,723,045,814,755,215,036,
731,731,240,945,604,290,917,395,641,755,309,778,177,300,354,024,557,033,812,
999,196,888,307,226,504,017,468,220,178,463,253,561,962,844,130,200,161,911,
381,457,841,237,602,301,382,439,956,726,701,160,285,504,060,373,313,532,683,
432,879,489,011,968,901,014,231,253,452,731,371,392,937,136,415,299,885,182,
246,723,739,792,911,039,491,481,130,420,509,265,848,453,906,110,317,385,222,
294,532,930,884,177,488,086,308,661,466,249,541,229,805,917,028,376,889,479,
845,746,590,865,166,471,562,244,176,492,319,506,078,879,444,699,443,938,011,
513,490,094,184,350,531,799,945,033,948,368,126,625,473,000,168,882,065,009,
701,679,430,761,166,692,076,571,301,717,509,719,268,820,272,450,102,983,960,
919,709,333,423,400,493,484,277,497,374,925,921,533,835,393,455,990,152,533,
192,349,922,686,493,025,937,911,165,190,516,756,447,495,563,752,366,474,496,
989,664,951,948,791,320,960,147,945,212,243,363,178,046,098,213,213,037,509,
405,010,468,835,727,820,092,107,690,763,438,189,479,152,044,845,950,879,855,
916,385,567,391,243,122,340,760,541,462,527,117,303,051,214,740,580,030,546,
550,087,601,571,069,198,519,067,668,374,778,192,575,067,861,897,511,691,836,
892,689,419,971,236,935,407,948,916,013,509,239,771,938,456,697,507,100,164,
907,966,254,692,157,413,534,342,299,193,737,541,038,667,768,266,118,542,698,
705,049,594,325,691,025,552,476,737,502,751,162,209,861,982,610,150,414,673,
108,955,326,705,365,266,994,231,039,800,562,750,848,976,712,034,288,892,179,
625,761,158,303,982,708,046,540,643,349,264,602,904,769,976,985,290,599,965,
132,523,093,696,626,890,726,293,454,587,924,611,724,332,398,648,025,763,817,
977,451,824,786,600,249,707,398,386,220,789,808,269,800,861,315,563,840,450,
567,683,341,623,589,805,302,404,967,625,612,411,188,994,175,680,426,143,508,
772,849,184,731,246,949,588,226,719,843,146,420,374,356,423,603,995,974,249,
370,951,484,993,366,404,332,259,046,484,805,467,697,893,973,742,289,032,601,
736,074,566,863,792,496,896,321,963,829,568,553,861,325,218,996,288,859,190,
920,603,207,805,974,139,909,144,258,625,466,073,456,063,755,303,870,353,177,
089,725,877,254,363,622,600,764,531,994,791,712,813,364,825,112,903,324,768,
310,298,778,570,427,929,260,461,494,959,125,149,548,242,105,411,735,945,836,
778,717,169,052,081,904,344,173,915,330,537,438,019,068,577,359,168,462,867,
970,665,558,835,218,149,644,917,986,283,935,029,636,415,927,067,101,633,085,
091,136,789,932,121,691,915,081,910,550,781,066,502,007,197,083,400,879,587,
190,527,300,673,525,288,698,809,650,508,176,316,211,827,875,468,311,450,593,
750,877,971,742,323,600,944,240,057,551,220,366,787,687,223,790,468,796,416,
848,259,952,817,227,948,051,974,719,791,085,030,537,875,179,400,603,085,585,
920,023,801,440,508,327,072,097,153,340,804,113,426,225,860,016,033,575,235,
115,244,987,821,698,602,529,578,160,321,505,753,604,012,219,971,749,230,767,
870,891,337,970,696,137,107,984,253,748,553,598,731,439,087,155,900,118,853,
478,887,624,882,459,142,409,858,675,931,373,745,142,037,563,179,300,493,964,
953,456,717,164,715,944,994,364,004,794,405,003,732,023,610,690,711,362,163,
222,823,707,116,425,983,577,021,222,072,466,900,795,605,049,937,759,078,876,
802,186,872,251,985,774,669,670,676,981,057,904,862,806,738,525,467,913,664,
003,821,373,778,333,253,997,949,295,489,665,851,745,383,955,781,963,387,295,
232,228,280,390,336,532,364,620,552,151,477,357,737,913,749,817,327,347,115,
454,814,239,006,036,662,651,831,395,690,735,901,373,010,047,664,911,011,966,
233,321,863,543,253,793,790,361,975,907,263,229,040,287,985,034,159,648,926,
978,934,317,915,241,103,322,648,220,246,778,998,030,221,277,956,557,108,433,
804,357,435,500,352,918,089,822,598,911,077,895,526,604,661,170,115,525,415,
324,343,255,442,652,877,433,898,420,846,969,323,335,270,623,610,209,920,552,
948,231,475,833,743,468,053,458,134,661,265,282,485,028,089,512,809,263,894,
003,112,285,014,223,832,385,301,488,561,855,422,008,116,962,440,923,766,906,
425,759,168,394,884,033,451,388,667,785,672,722,034,034,344,451,299,458,098,
166,920,295,516,247,827,335,164,671,472,206,414,756,895,278,421,994,030,425,
048,080,410,621,044,007,280,657,471,414,530,504,340,748,634,515,352,378,207,
796,087,962,214,249,288,538,789,821,296,157,871,225,365,128,049,490,494,876,
835,849,007,037,573,191,190,278,816,825,575,045,423,597,671,261,912,031,371,
415,209,190,286,707,261,371,676,598,299,135,958,831,067,334,072,602,928,790,
902,827,731,457,191,588,538,313,652,765,480,020,035,762,541,506,467,662,175,
990,366,817,742,990,407,843,252,903,360,869,398,989,334,238,561,399,996,390,
312,145,162,408,692,108,099,987,539,522,236,940,928,004,357,818,524,095,448,
339,145,095,628,992,605,462,452,984,746,560,653,913,285,199,182,839,428,653,
830,048,534,391,186,172,723,938,228,047,066,490,523,850,457,930,063,736,572,
865,802,350,462,931,539,230,484,756,318,849,412,940,929,121,862,718,796,389,
059,080,037,775,266,915,379,667,525,568,901,686,738,092,099,575,538,107,622,
375,823,519,034,700,782,189,827,718,762,373,994,045,504,860,304,538,729,794,
839,438,462,819,146,812,802,973,011,825,386,681,038,116,602,671,160,251,476,
241,202,724,806,696,275,217,405,197,993,958,037,313,863,283,655,826,153,824,
225,069,092,961,728,909,512,916,640,229,075,252,846,690,954,266,963,718,741,
612,451,706,164,271,786,723,318,214,686,651,757,591,153,463,161,483,090,371,
049,506,042,651,743,567,192,136,450,553,471,185,734,781,463,657,479,135,987,
736,086,659,971,903,370,211,451,439,879,575,717,239,230,325,638,592,361,024,
167,487,308,301,552,607,501,772,759,668,777,363,914,908,180,158,246,957,821,
864,869,357,569,894,753,498,239,654,564,612,906,251,761,172,442,227,330,796,
385,563,503,297,014,708,620,758,423,142,602,974,200,863,709,624,954,904,177,
048,669,199,767,152,961,303,831,918,660,157,728,817,578,504,574,663,723,952,
692,700,695,486,598,532,058,559,464,523,406,596,487,222,361,947,775,188,540,
904,110,044,317,021,612,956,286,012,741,626,195,527,785,804,377,518,949,202,
626,656,548,476,754,123,514,516,622,172,579,187,854,465,873,047,578,765,061,
634,341,941,268,239,758,302,232,863,082,892,682,363,794,442,780,378,461,955,
993,896,534,861,638,463,272,264,230,143,483,185,204,766,858,327,168,871,801,
807,509,884,509,382,269,234,395,378,688,454,923,299,008,283,800,116,322,850,
216,871,376,722,099,173,949,075,888,963,573,399,593,800,223,001,781,964,897,
938,161,280,576,300,373,403,961,255,946,811,098,806,913,929,230,133,497,400,
924,321,007,147,186,915,358,536,103,224,170,524,788,161,031,169,777,159,294,
198,953,402,137,853,001,954,332,799,112,998,614,200,920,464,588,744,802,958,
008,210,987,510,249,653,488,743,841,931,251,366,111,327,669,828,575,497,316,
968,540,903,781,403,173,022,889,722,489,358,762,763,638,084,937,174,453,863,
319,838,108,039,020,799,065,297,885,867,319,491,786,871,842,746,616,315,554,
663,074,351,856,311,329,186,754,079,692,144,858,189,924,716,954,433,305,773,
111,802,833,744,773,086,419,211,062,591,742,700,223,648,654,051,239,091,142,
201,343,408,729,474,933,817,989,351,093,796,884,966,222,508,144,406,746,308,
096,918,868,623,363,604,418,083,395,798,375,547,510,914,923,102,616,777,644,
855,600,686,973,487,405,556,659,500,324,608,909,691,621,237,062,734,392,148,
253,115,911,760,083,977,797,064,046,267,911,173,634,551,333,472,045,069,883,
657,630,852,686,226,496,312,498,180,182,032,223,997,341,556,231,640,851,554,
723,848,708,007,873,069,319,429,665,376,499,822,004,246,724,678,544,484,992,
578,414,183,753,039,785,697,964,212,635,195,266,327,208,941,676,998,681,719,
910,354,309,661,388,157,867,275,735,716,152,655,898,006,839,695,195,348,162,
424,507,438,699,067,655,541,637,789,538,587,899,470,339,955,848,140,719,199,
101,347,712,234,007,346,388,485,830,320,883,876,395,731,735,976,586,311,403,
153,947,823,998,376,434,687,542,875,771,800,090,321,723,409,255,173,873,412,
659,120,167,487,858,782,172,116,158,080,808,990,812,423,022,071,934,068,502,
332,503,447,012,620,401,719,103,426,417,881,290,958,133,345,415,640,786,968,
796,286,446,257,125,408,639,323,095,268,661,073,487,835,859,909,238,069,870,
568,381,985,440,131,913,631,949,393,440,237,110,408,173,235,827,944,179,291,
117,312,444,010,012,214,387,170,921,213,537,604,830,947,472,318,362,943,139,
108,531,562,954,796,620,888,150,578,483,790,791,568,782,218,834,448,789,465,
839,254,041,751,905,560,791,584,226,573,672,468,676,669,792,040,299,522,070,
546,510,315,510,588,597,748,060,536,358,196,844,519,690,771,494,728,564,634,
583,044,049,850,500,407,350,970,545,944,731,689,552,883,638,034,102,184,296,
376,978,511,303,190,836,132,054,154,818,407,897,399,993,442,058,526,958,416,
459,761,505,265,916,349,506,207,187,413,932,899,008,251,163,546,270,280,506,
679,700,025,379,780,957,172,454,387,740,602,471,115,569,815,239,339,626,598,
728,519,186,654,283,246,023,140,573,452,189,501,653,233,882,881,034,481,926,
840,424,598,981,462,469,792,188,596,665,907,083,019,588,225,546,178,898,641,
496,773,166,590,992,963,316,517,470,032,185,308,392,384,758,676,784,999,065,
581,106,794,482,561,722,751,829,879,417,279,906,669,614,743,504,722,063,640,
530,703,012,578,840,166,204,828,847,198,572,972,049,234,732,965,824,047,424,
477,243,320,181,121,801,669,503,197,655,125,074,040,343,328,790,712,229,959,
476,376,538,095,503,520,700,044,868,618,835,045,043,776,398,386,161,783,920,
869,986,542,044,710,859,999,859,032,695,591,424,740,020,044,736,914,696,019,
354,910,495,808,328,462,499,392,399,103,343,064,642,729,513,949,659,385,008,
425,422,477,208,575,799,101,564,042,113,336,821,850,598,786,978,332,757,007,
849,706,173,451,664,276,957,482,923,357,355,992,400,231,636,394,135,457,830,
764,171,867,096,369,883,994,883,616,135,439,333,876,613,865,347,024,372,137,
229,927,742,271,676,421,724,868,953,983,276,147,060,528,673,234,981,620,865,
627,143,937,813,612,128,673,037,119,097,858,640,203,341,181,112,965,568,173,
933,186,564,710,428,112,217,636,564,155,076,120,861,531,543,160,341,705,619,
838,272,587,568,223,493,801,908,157,090,647,435,387,893,432,077,992,151,693,
139,496,423,116,698,845,109,466,720,132,877,670,525,100,904,689,124,599,358,
501,254,490,561,148,092,720,581,011,931,926,903,436,169,880,864,148,116,562,
694,934,673,447,661,013,600,873,424,257,951,403,643,827,043,125,897,176,265,
827,877,699,618,700,445,827,329,457,957,852,076,179,738,117,129,016,038,972,
901,838,992,075,158,491,568,317,145,848,677,754,948,623,073,125,399,143,907,
194,851,785,077,079,015,525,305,897,145,877,580,153,693,748,057,700,723,782,
855,639,236,979,276,409,019,649,084,731,607,405,221,392,404,168,308,131,622,
668,204,045,047,942,803,511,541,233,120,191,886,752,416,635,438,613,873,820,
517,996,278,724,607,168,612,127,914,888,763,764,283,949,522,611,216,949,885,
991,184,437,826,863,557,607,152,894,099,291,163,499,863,488,044,103,371,106,
059,115,803,452,229,493,864,397,288,854,834,447,186,981,784,849,828,692,723,
238,443,141,178,256,241,555,890,843,171,734,235,873,263,760,131,608,404,156,
211,027,192,815,839,461,327,576,672,901,597,954,619,424,692,886,660,997,111,
926,017,091,155,471,302,331,729,278,336,873,784,388,943,420,037,164,253,688,
690,745,212,438,624,374,817,977,358,469,627,281,039,919,229,931,193,124,322,
918,544,140,368,768,148,062,759,590,668,161,600,728,627,574,653,748,752,072,
431,245,193,764,168,284,312,809,575,620,351,774,526,965,360,383,800,624,553,
967,244,688,504,269,667,353,477,738,951,910,927,609,067,493,912,166,244,996,
123,756,268,749,359,712,067,681,010,067,531,364,021,541,069,173,127,318,542,
571,472,633,084,337,836,947,993,010,021,941,919,384,958,334,241,128,316,920,
200,385,325,470,686,739,161,971,794,659,627,362,753,564,243,486,030,956,631,
398,466,465,518,842,252,889,165,534,081,245,038,778,460,232,770,634,222,358,
299,748,279,546,811,035,611,270,294,421,144,356,600,307,089,878,116,923,598,
333,561,315,822,698,821,353,965,426,361,510,356,810,089,278,505,529,803,867,
300,419,128,776,200,286,490,395,139,216,409,075,902,623,367,330,713,719,536,
626,647,359,006,425,476,040,113,766,457,987,564,006,938,814,434,463,660,202,
599,380,277,553,522,912,377,071,385,479,428,644,200,943,313,766,350,224,284,
719,312,426,236,485,193,766,350,271,743,871,252,304,732,981,267,462,085,042,
043,970,673,168,962,693,164,979,032,710,449,480,760,438,665,698,329,875,497,
940,596,616,680,502,979,598,705,423,770,060,871,318,228,312,820,434,857,438,
536,767,917,199,744,250,906,763,133,646,238,090,079,785,909,614,153,541,604,
024,475,131,772,954,767,774,717,102,847,755,717,585,251,129,080,113,860,884,
985,922,845,449,814,746,965,597,384,752,195,229,934,077,641,402,169,743,232,
416,461,785,827,967,395,046,730,810,377,716,866,395,183,802,760,602,696,095,
521,154,875,059,874,824,573,037,776,296,468,904,701,460,383,232,418,158,695,
788,195,150,900,527,706,798,506,799,533,362,662,508,939,700,945,113,695,190,
528,824,031,024,314,821,702,094,416,804,474,551,206,235,388,716,538,870,731,
945,282,147,754,729,664,488,239,205,444,537,878,102,057,985,377,364,207,198,
846,642,930,491,641,573,230,864,518,895,677,577,320,737,095,052,861,205,173,
877,633,475,757,061,722,321,291,240,775,307,157,552,044,133,244,190,435,787,
561,303,461,677,740,356,121,542,147,685,908,133,108,547,331,833,167,398,297,
111,586,247,371,541,199,477,960,268,931,042,088,050,169,777,422,570,894,230,
463,473,525,729,743,368,808,116,681,684,611,681,395,618,044,169,251,037,140,
871,665,105,232,357,109,283,182,746,111,881,008,112,298,902,966,034,365,264,
520,872,126,802,507,500,675,103,346,654,856,134,122,156,557,601,747,292,789,
285,219,463,584,855,394,904,358,006,032,888,699,204,603,218,152,012,733,927,
857,100,269,027,881,421,427,852,124,887,845,092,057,820,669,363,870,540,207,
659,518,277,015,858,202,623,661,048,418,474,080,106,029,238,009,087,952,509,
602,298,243,581,064,122,458,464,108,817,672,868,461,192,456,505,820,558,922,
981,720,236,640,878,388,848,733,995,042,401,071,205,183,914,744,575,532,892,
490,732,935,747,895,426,759,928,878,736,138,535,000,458,667,446,186,404,256,
806,243,200,340,489,548,019,781,360,325,894,737,404,176,094,067,431,998,324,
766,682,455,897,003,540,426,112,906,840,019,363,647,964,298,384,654,481,185,
389,789,530,748,225,342,965,911,027,271,122,487,066,215,458,005,834,012,188,
816,979,581,375,663,962,966,589,509,796,336,926,105,914,533,328,355,937,122,
663,053,099,702,220,720,216,772,274,642,732,743,833,818,531,985,454,308,002,
319,845,076,161,358,131,547,053,065,389,777,981,563,152,683,661,899,858,804,
557,932,282,905,947,836,441,385,390,764,895,941,645,839,974,588,963,664,196,
000,217,895,059,586,457,255,165,857,575,266,750,996,591,005,066,459,560,320,
947,607,080,428,817,419,467,299,613,777,394,541,757,374,689,510,867,068,443,
274,967,663,735,613,684,894,033,580,573,962,690,823,151,435,124,211,916,704,
303,685,786,208,477,218,746,347,157,593,699,662,637,251,297,516,052,332,229,
042,217,342,895,743,223,856,751,490,861,523,876,287,356,342,061,224,249,985,
041,070,822,053,930,182,705,088,695,456,390,937,567,342,164,407,816,796,443,
348,353,853,618,699,073,622,297,232,380,290,283,956,043,308,365,554,168,339,
888,599,226,771,325,588,318,430,174,296,829,180,430,008,852,705,627,839,128,
482,846,003,428,879,337,848,536,979,165,695,506,197,899,574,344,870,038,483,
029,269,243,755,616,039,550,192,992,731,374,170,240,773,525,456,168,161,133,
712,568,024,670,230,578,295,479,454,992,194,374,417,172,716,902,288,421,071,
344,261,917,297,335,943,273,293,560,784,269,346,285,597,580,044,310,411,012,
977,587,548,654,385,504,577,087,272,326,613,312,594,644,826,945,956,163,379,
911,326,145,637,507,920,432,566,210,311,457,063,556,894,179,200,616,245,171,
637,729,316,836,596,843,755,872,725,720,297,713,175,593,403,998,846,619,220,
948,256,605,529,413,349,100,812,218,834,440,887,162,725,323,093,400,510,566,
778,721,999,571,914,754,272,168,953,980,055,336,947,944,208,075,458,959,507,
139,102,662,734,174,338,251,836,752,106,297,308,639,572,027,692,142,433,801,
929,687,744,758,626,339,660,373,646,077,034,111,134,961,561,327,272,069,091,
957,804,187,242,264,930,869,652,798,735,099,141,910,720,194,962,216,065,368,
284,003,637,782,670,087,874,713,419,028,353,575,452,940,493,032,422,055,001,
705,482,104,971,616,408,956,518,162,289,346,448,952,335,284,786,870,520,143,
418,267,396,515,704,586,493,487,974,195,538,440,621,674,654,776,855,877,700,
831,858,762,899,126,746,580,588,473,243,903,574,112,751,227,564,571,315,544,
063,635,717,512,936,741,731,792,529,565,050,274,517,428,418,099,612,032,826,
265,065,418,667,860,498,614,108,743,861,488,001,721,893,621,911,868,696,714,
185,183,129,991,819,978,510,541,315,938,982,297,161,141,702,946,730,450,001,
882,798,559,449,393,014,437,436,545,875,140,512,472,914,532,734,970,476,566,
041,107,439,494,632,820,309,863,506,160,575,209,927,628,233,557,429,350,013,
692,422,601,721,580,576,538,392,241,100,648,126,098,053,677,710,584,570,374,
092,128,522,990,926,119,030,353,817,875,638,705,316,212,517,628,167,786,053,
179,227,695,313,098,458,033,914,720,146,401,122,895,276,323,855,538,672,273,
316,424,969,341,671,719,838,265,192,183,223,697,039,624,518,951,388,370,550,
326,498,696,558,705,615,860,243,181,211,763,410,238,041,388,599,919,053,481,
311,240,653,201,934,294,217,863,154,732,090,106,065,684,219,988,954,669,652,
220,709,574,623,443,206,957,981,899,462,366,002,273,845,532,377,261,182,818,
978,061,866,043,877,018,209,389,054,072,571,972,113,746,115,791,819,063,815,
883,879,352,869,041,026,719,206,561,513,386,185,609,176,581,053,822,424,427,
896,825,979,954,291,381,559,319,814,951,287,319,866,310,221,623,585,376,367,
938,086,532,024,387,130,823,805,525,527,784,215,595,571,948,008,605,636,688,
737,269,642,954,640,887,828,360,543,420,871,147,488,805,360,828,905,286,034,
823,957,788,892,217,236,960,879,526,121,074,511,353,325,724,180,012,283,741,
601,069,774,786,636,576,611,144,942,045,338,961,911,698,207,565,701,781,983,
603,687,335,718,800,178,593,739,424,977,106,528,774,429,850,105,177,793,786,
382,377,042,104,950,304,916,773,758,381,581,304,646,352,437,349,129,323,634,
492,051,722,308,783,554,546,608,543,886,802,970,044,857,729,544,353,314,308,
153,932,221,158,966,306,077,936,339,996,327,005,497,400,619,804,398,534,568,
291,759,029,078,718,474,522,283,367,634,241,799,762,411,838,316,353,633,319,
789,274,628,844,979,300,650,089,745,288,877,436,711,939,730,761,102,136,574,
808,739,544,732,186,650,807,355,781,666,954,559,059,544,334,879,292,209,224,
249,954,097,767,528,263,969,739,446,683,606,594,855,766,523,568,726,951,502,
108,688,123,080,149,928,647,981,500,612,350,856,831,975,968,400,995,322,828,
685,360,628,888,750,801,376,848,965,699,213,656,151,383,102,501,538,845,601,
095,065,570,802,687,435,912,631,545,159,019,560,687,133,805,034,405,550,871,
905,329,184,192,676,386,837,540,367,003,711,924,790,726,248,383,556,987,756,
616,677,214,495,741,152,327,033,322,779,734,288,926,238,485,968,764,359,115,
205,293,256,423,498,227,693,536,956,494,207,402,943,255,543,410,337,599,082,
348,302,980,083,751,089,506,700,726,116,174,713,014,231,752,826,237,966,999,
537,308,754,657,672,784,587,106,605,988,404,517,999,758,506,274,042,281,583,
916,140,012,701,440,386,854,669,145,299,543,046,411,859,912,173,267,937,381,
150,203,596,826,167,462,780,864,635,089,366,856,797,904,343,479,732,993,148,
054,578,505,702,182,866,041,579,078,447,494,765,616,336,251,575,013,236,380,
023,552,568,456,961,647,422,119,679,223,443,492,650,963,539,740,548,943,523,
403,771,930,717,960,525,225,429,524,893,165,779,515,837,744,239,350,893,632,
529,040,156,832,070,160,581,301,691,903,596,431,757,632,702,389,751,137,638,
845,732,249,556,092,019,324,707,029,196,313,288,012,597,744,887,834,889,827,
108,656,934,613,847,271,188,899,026,304,743,300,064,302,337,843,926,525,670,
572,439,516,391,571,012,612,344,837,995,745,892,679,510,509,199,104,011,680,
405,980,362,754,343,830,850,762,742,177,112,279,188,066,469,032,841,779,001,
367,113,550,966,251,806,487,522,502,316,136,653,334,632,325,278,520,194,571,
424,519,382,301,095,398,518,683,432,252,455,162,478,539,919,660,801,263,176,
430,465,455,621,519,450,349,446,749,250,565,187,706,190,717,597,481,497,093,
940,126,904,331,656,111,146,857,832,545,361,403,094,623,412,197,121,193,174,
997,460,583,447,549,250,064,495,285,999,297,286,255,546,887,810,851,617,372,
735,924,624,971,911,950,221,998,144,826,285,321,901,625,065,663,167,434,348,
305,501,399,636,853,872,526,746,816,340,675,655,890,348,464,892,958,796,728,
151,748,437,432,615,005,278,612,280,514,019,134,613,055,438,620,653,612,176,
479,495,727,496,413,803,234,858,605,336,462,990,663,847,366,422,773,467,953,
958,264,527,978,310,041,153,250,940,089,362,581,290,142,747,629,123,679,363,
110,313,253,850,150,776,245,762,941,535,140,352,720,591,745,783,908,376,901,
080,601,070,294,596,863,622,806,047,503,877,945,775,055,981,496,976,712,048,
304,351,291,525,206,921,854,157,128,060,262,589,900,514,100,070,094,459,463,
266,179,943,338,316,001,235,015,910,825,312,360,855,178,667,636,553,832,069,
667,772,062,115,015,873,023,533,247,774,706,278,949,212,412,611,781,481,375,
414,287,527,901,742,767,227,680,465,233,699,172,089,923,672,408,950,884,582,
061,052,083,959,215,755,163,241,846,809,365,536,773,924,862,489,053,774,083,
875,580,151,285,996,358,983,866,961,661,425,058,739,399,986,994,924,887,665,
123,036,264,311,715,732,492,286,420,020,999,678,862,739,832,452,097,957,222,
027,194,853,786,719,353,526,654,665,195,227,056,173,763,637,881,151,170,223,
595,905,264,035,983,894,699,801,092,000,354,493,244,545,699,025,294,422,071,
489,993,393,276,442,635,720,834,594,297,194,147,654,276,886,758,446,225,069,
027,720,018,247,133,720,064,637,935,741,117,299,567,702,180,439,109,451,988,
505,332,818,951,104,932,531,608,527,807,830,578,487,605,100,495,639,405,145,
540,163,535,408,983,840,492,526,631,420,315,345,224,793,830,781,773,554,287,
933,118,255,643,853,146,915,959,486,815,456,716,583,883,927,436,340,637,823,
651,806,564,444,130,990,958,592,090,652,808,928,417,749,876,790,889,630,449,
433,436,558,073,981,236,505,228,724,047,497,984,309,606,586,104,377,397,679,
810,001,886,945,257,115,755,909,855,337,704,913,533,287,498,721,843,539,020,
990,486,680,370,052,944,377,710,087,927,905,793,210,208,186,046,661,183,799,
042,139,952,937,945,498,563,352,705,458,313,365,813,444,552,344,943,055,108,
264,091,927,315,696,804,546,711,070,858,754,195,536,967,713,651,206,816,974,
428,240,626,838,564,539,971,028,722,238,658,397,951,501,192,723,545,015,210,
980,887,161,658,277,120,125,054,808,888,265,693,331,508,546,383,270,378,855,
082,323,664,588,465,878,911,226,047,028,705,359,566,437,952,125,211,798,473,
121,828,202,797,087,162,985,364,369,913,606,258,084,136,663,973,769,928,572,
423,043,009,818,534,824,714,326,122,885,503,293,845,942,998,395,419,522,351,
952,631,777,607,300,487,347,545,556,861,049,709,579,922,285,893,338,674,008,
668,390,312,839,421,592,303,595,723,833,014,419,252,927,528,570,314,290,786,
762,254,564,620,229,049,311,299,032,289,956,659,883,979,369,773,144,692,576,
536,460,821,576,308,980,078,471,620,706,498,548,214,431,609,305,907,643,854,
208,863,501,220,929,481,136,643,596,594,257,172,218,431,553,913,084,670,161,
973,954,454,149,207,545,575,424,891,101,736,569,241,624,219,865,192,559,631,
978,691,452,138,933,549,251,205,047,621,085,067,896,413,585,145,259,786,351,
145,180,995,235,851,961,727,811,634,344,976,278,707,634,740,082,287,925,064,
131,474,961,160,303,799,449,897,638,727,890,641,871,080,944,018,044,246,093,
280,552,472,541,434,034,933,964,455,548,670,787,900,038,084,774,247,405,340,
976,084,044,580,793,722,818,929,096,865,236,522,088,537,830,311,544,694,805,
090,555,915,509,799,409,009,900,096,051,921,365,556,028,126,303,958,895,996,
084,865,819,642,458,482,025,602,702,473,052,292,494,992,448,885,234,704,507,
338,419,775,801,875,552,297,479,228,300,557,925,279,511,549,371,681,859,898,
368,006,602,482,053,718,822,308,222,610,761,674,862,026,505,507,600,928,817,
398,357,030,671,008,128,896,277,300,691,031,747,048,614,490,243,717,096,081,
958,243,605,585,062,603,010,619,514,921,819,297,050,703,186,004,949,886,664,
420,872,532,981,941,778,814,503,640,222,651,537,548,325,574,108,256,199,670,
952,487,513,283,971,926,516,549,453,621,960,734,011,368,407,090,970,153,839,
918,766,589,718,285,588,190,012,085,707,353,839,340,709,663,674,964,089,549,
542,453,736,610,620,827,792,700,047,985,616,793,608,604,014,266,616,338,140,
404,361,177,172,148,843,596,254,375,759,110,442,684,750,070,850,751,579,021,
411,085,595,697,434,359,143,985,249,843,242,501,923,530,835,403,011,808,705,
054,766,087,141,038,181,389,852,569,103,127,488,353,746,093,929,475,896,881,
877,072,782,700,643,622,621,614,499,967,896,596,436,468,192,960,510,467,335,
303,666,956,548,831,696,426,707,321,674,160,940,459,296,816,814,770,965,134,
981,756,766,124,966,339,726,055,972,441,666,429,718,835,346,634,001,179,458,
083,347,181,858,913,039,317,466,706,739,164,577,496,924,866,449,917,755,928,
535,866,401,828,183,767,136,655,350,342,982,541,838,333,885,291,506,198,544,
521,559,808,306,079,585,514,765,992,425,003,254,602,718,005,995,779,845,351,
648,738,145,038,705,433,050,738,439,967,843,452,944,716,711,877,522,457,594,
326,135,665,696,309,542,892,809,856,802,129,406,779,614,180,321,925,037,036,
062,313,365,655,002,992,782,795,699,360,411,570,508,473,524,655,007,298,993,
086,398,699,558,342,996,474,261,796,699,836,484,591,878,566,305,862,133,445,
900,753,957,935,432,723,396,861,174,913,797,373,793,393,356,359,816,082,933,
762,191,793,355,368,929,188,336,252,436,073,891,510,108,254,025,847,412,799,
060,271,136,384,126,303,024,096,750,517,934,775,941,205,497,196,122,236,111,
851,577,197,940,986,649,574,765,075,567,996,299,672,970,980,584,751,203,448,
699,462,870,001,791,029,983,213,470,512,115,054,207,059,517,700,064,940,942,
059,537,583,345,241,056,647,389,405,143,075,099,862,052,985,475,527,669,576,
035,473,496,797,034,600,942,189,563,380,287,558,800,839,674,407,829,365,645,
023,160,991,285,662,148,747,051,674,185,097,950,682,730,650,685,971,043,829,
190,437,044,680,946,763,095,366,750,346,456,237,298,331,770,133,169,764,804,
978,870,223,544,707,081,952,356,045,636,556,419,880,960,103,724,413,577,572,
169,678,165,161,267,814,358,207,918,532,923,359,297,796,018,362,170,961,809,
199,761,816,832,974,138,023,105,176,244,637,532,955,672,853,261,807,097,736,
212,324,678,144,143,123,770,023,095,989,417,493,991,658,935,113,173,292,875,
682,998,041,031,330,528,760,286,138,366,841,623,393,833,579,572,056,050,800,
109,424,485,690,127,878,091,435,766,063,746,601,074,534,071,775,514,909,629,
812,372,939,965,579,260,153,281,817,620,312,855,499,048,879,795,798,487,593,
674,501,223,114,661,570,510,381,733,142,670,230,569,610,492,994,743,676,767,
449,755,445,716,439,746,186,182,272,684,375,422,149,475,808,145,070,391,260,
240,458,756,600,301,020,183,557,619,707,011,245,454,743,656,039,483,167,986,
311,891,353,893,773,808,315,434,885,738,961,899,074,536,304,909,103,271,688,
952,065,093,431,990,059,311,493,654,758,740,973,638,180,368,280,669,197,680,
419,694,226,758,578,230,435,227,503,855,675,597,061,885,730,293,692,653,210,
057,836,945,848,126,075,761,620,770,013,989,896,175,734,453,571,063,602,384,
685,341,001,721,604,332,522,101,756,532,609,017,449,913,073,389,164,369,956,
917,726,091,920,464,178,336,576,675,223,030,190,296,680,611,894,714,591,134,
719,857,361,472,485,994,586,459,328,714,217,252,444,352,593,210,591,928,747,
498,191,336,228,846,730,199,005,231,008,229,661,762,891,934,819,536,758,811,
783,879,890,915,542,356,316,375,802,295,743,368,541,543,344,781,463,634,539,
979,382,952,979,768,185,276,006,071,722,982,529,137,379,499,061,515,987,838,
540,634,049,697,641,522,114,583,964,366,242,886,986,158,672,225,185,456,061,
313,607,895,358,223,716,186,454,606,897,181,445,057,036,070,713,460,760,653,
644,841,867,538,500,992,262,779,654,083,760,811,154,510,917,489,964,691,660,
571,880,459,519,808,146,917,210,242,174,028,157,470,276,257,591,731,818,284,
757,892,449,930,450,196,992,159,065,341,413,360,934,116,330,758,234,753,098,
142,699,538,933,516,598,623,489,706,496,333,089,701,141,797,970,401,518,547,
552,073,348,273,422,047,659,614,456,151,519,495,441,767,306,227,327,999,383,
124,105,169,042,308,990,366,295,285,557,442,243,192,989,007,620,735,072,083,
690,038,589,742,270,759,312,626,447,453,167,944,572,605,210,047,289,418,748,
597,471,791,355,111,217,930,440,652,787,039,796,624,285,282,410,462,853,371,
486,850,530,580,964,917,973,789,767,977,180,080,446,528,104,287,552,074,537,
968,284,885,190,011,444,581,236,228,528,238,482,047,409,345,328,606,956,631,
278,079,369,822,803,195,980,696,636,459,415,477,767,986,496,319,525,501,133,
048,526,213,018,081,339,214,732,672,221,124,334,562,837,859,743,444,172,111,
611,224,002,853,633,621,407,650,618,081,377,670,357,295,021,317,159,156,431,
337,616,465,119,455,489,137,398,559,899,800,469,019,940,069,550,065,334,478,
553,624,850,652,624,794,809,574,535,955,161,955,090,762,130,019,605,546,450,
829,034,227,342,055,604,185,040,890,119,915,495,568,226,247,056,338,544,227,
916,553,951,723,799,864,101,865,006,707,307,073,600,261,442,409,202,662,214,
989,094,445,985,015,008,271,496,774,620,301,925,356,725,455,625,844,528,582,
874,253,324,282,620,686,746,122,825,071,833,337,155,591,667,464,148,180,010,
767,183,021,951,082,234,319,519,649,902,821,267,717,843,150,629,876,607,815,
462,333,675,929,075,945,504,294,548,135,072,413,503,790,906,458,306,019,568,
793,841,231,698,666,753,684,773,692,321,990,192,298,393,219,600,099,850,062,
793,611,678,497,547,569,839,900,103,545,274,258,239,731,872,070,007,275,023,
466,853,553,982,909,861,945,127,732,044,144,071,219,330,265,347,959,441,152,
932,855,013,438,583,322,410,892,196,398,633,742,930,609,239,577,538,741,650,
618,391,387,533,853,443,735,661,477,380,095,175,933,613,835,124,215,575,784,
515,920,926,233,880,834,533,518,018,158,525,279,936,184,244,473,076,764,092,
216,997,308,304,785,023,711,471,649,487,309,928,295,441,858,785,794,208,097,
103,881,161,154,932,627,707,685,765,826,386,822,074,567,345,928,896,074,801,
501,572,377,820,660,704,387,997,461,421,771,685,414,605,415,064,862,194,462,
527,503,985,402,938,102,662,796,639,469,842,727,084,268,574,809,128,004,910,
592,792,532,817,680,283,508,982,742,180,464,915,456,853,797,956,061,100,149,
456,621,976,444,862,097,440,919,808,523,632,722,445,383,724,939,379,335,907,
150,123,390,979,040,892,937,307,240,301,587,844,759,571,701,286,951,601,976,
864,846,754,351,705,617,077,250,039,157,424,290,640,120,509,970,911,605,268,
039,215,382,275,101,207,182,775,887,354,892,264,900,946,595,875,015,465,858,
039,044,322,910,548,351,758,527,487,500,235,079,920,027,305,284,815,536,000,
341,798,746,746,361,382,795,877,390,272,759,936,417,029,319,126,388,926,732,
768,040,012,000,372,979,692,602,112,800,373,904,442,687,980,436,959,650,311,
651,160,454,148,764,095,685,551,640,635,002,494,274,757,966,993,867,535,360,
345,892,161,086,862,591,859,851,803,947,216,264,765,424,257,525,448,129,148,
788,247,348,933,221,927,984,313,928,260,448,128,586,359,477,670,179,573,858,
808,536,533,894,607,530,965,641,932,739,870,834,648,162,557,133,243,136,889,
338,073,411,696,731,285,834,937,911,080,447,279,192,952,945,579,193,958,116,
149,057,781,934,648,414,102,699,128,641,743,030,191,591,681,143,496,253,870,
971,989,773,626,639,799,823,117,183,300,057,592,041,863,454,269,505,322,091,
202,285,438,825,176,619,372,286,823,730,578,818,243,514,568,550,449,992,208,
295,645,005,902,534,208,936,867,331,008,948,278,001,289,879,755,483,470,220,
155,179,290,932,352,991,194,456,664,422,598,352,025,179,724,108,032,241,920,
768,244,492,209,368,460,240,469,052,261,020,717,021,296,014,714,329,369,039,
327,808,187,491,279,365,859,012,288,131,566,380,645,864,149,276,770,935,148,
958,569,914,242,821,301,260,767,056,695,785,460,424,457,461,500,611,961,223,
809,718,228,266,561,223,586,279,943,484,021,040,574,098,419,902,302,752,128,
102,445,535,405,380,277,465,676,158,626,233,500,844,247,924,513,908,605,350,
932,899,111,035,398,173,939,689,857,306,138,417,966,553,410,712,280,773,941,
371,788,790,018,271,149,657,498,667,568,731,168,500,428,175,099,768,095,597,
603,372,413,128,579,433,348,128,002,092,553,125,089,913,185,566,253,837,888,
577,171,976,591,073,187,752,100,352,076,138,594,210,609,650,093,403,199,128,
144,288,767,569,601,347,647,969,126,481,503,661,792,422,976,908,419,570,408,
949,593,932,200,384,664,087,936,217,755,231,626,464,389,688,112,659,596,752,
800,299,250,333,498,519,481,781,022,826,787,348,129,568,818,419,596,138,147,
105,887,552,989,616,455,328,709,187,961,884,657,010,800,791,676,314,612,790,
916,967,815,676,816,299,400,612,161,866,967,560,060,655,996,303,255,461,040,
843,401,987,029,169,448,624,838,126,922,523,644,687,191,100,159,014,792,419,
203,593,844,677,826,666,479,753,559,666,509,374,523,472,498,422,583,427,090,
354,593,231,723,782,961,790,072,802,232,634,809,670,907,495,521,338,054,784,
051,895,035,047,229,540,108,749,857,199,921,074,527,484,111,476,772,660,927,
879,155,698,917,902,464,384,263,195,239,208,639,160,531,978,728,267,521,038,
586,242,389,395,657,954,914,850,146,699,453,565,317,873,958,331,477,329,451,
693,628,431,593,154,592,669,966,020,175,727,205,953,062,009,186,821,022,723,
147,566,801,050,133,085,422,338,133,971,067,566,942,567,344,048,863,892,260,
386,764,498,855,153,893,049,044,450,966,749,226,070,994,557,877,143,765,796,
665,971,848,254,892,989,255,356,045,104,947,103,780,848,362,698,262,290,695,
440,363,137,502,707,250,907,858,394,884,556,246,572,107,256,014,848,379,353,
067,774,070,918,389,002,625,880,449,711,334,390,467,226,834,011,864,503,872,
922,834,402,397,357,260,134,835,099,436,108,676,612,254,252,950,359,926,064,
345,034,231,718,870,026,629,862,790,006,348,658,674,232,726,537,273,037,755,
806,961,902,008,097,412,339,013,200,440,379,291,397,570,719,912,632,576,838,
541,402,754,029,403,485,047,473,933,528,074,473,368,776,462,737,869,235,609,
871,327,629,204,574,617,518,745,294,299,604,376,313,907,070,041,102,159,435,
909,208,774,054,860,362,284,727,354,662,755,667,508,132,729,777,429,832,113,
350,928,706,354,826,639,846,093,201,793,226,458,970,766,097,686,992,664,854,
945,081,519,013,492,618,620,543,049,264,302,305,780,627,630,672,810,093,267,
268,934,917,511,955,836,858,298,749,455,216,832,596,643,792,707,445,823,827,
806,652,997,049,961,741,542,697,555,120,090,293,235,667,715,876,523,921,564,
322,842,117,959,519,163,453,507,775,335,271,025,178,106,055,694,927,091,149,
063,564,361,869,516,919,412,208,617,014,024,137,878,468,210,674,213,643,467,
108,691,967,180,473,102,619,761,671,862,827,797,541,607,010,036,354,451,240,
264,730,087,779,150,939,638,153,483,819,075,391,209,563,354,988,338,790,587,
714,661,421,415,658,499,554,971,913,087,467,806,775,541,967,511,909,493,217,
714,004,565,560,059,759,025,089,707,322,999,401,913,626,543,764,843,029,815,
081,460,301,041,828,878,440,624,933,018,598,138,226,884,183,069,886,650,691,
484,973,734,351,580,701,125,610,975,658,541,244,641,171,049,773,833,330,575,
916,373,406,729,300,197,860,581,354,957,536,930,899,865,653,264,318,113,515,
446,305,552,013,022,206,981,553,215,567,362,211,730,750,138,155,560,516,247,
508,444,551,420,698,529,159,038,297,615,961,743,063,516,596,359,628,922,535,
101,512,571,584,709,172,153,231,954,188,206,996,197,916,851,607,222,044,664,
359,227,871,511,277,786,404,550,276,998,670,450,981,542,071,303,779,896,835,
025,839,771,161,775,289,145,966,681,934,155,501,906,216,816,463,209,341,858,
559,489,334,597,818,076,508,564,723,533,059,219,733,001,012,787,983,309,502,
722,389,964,947,400,655,245,818,573,753,640,571,794,192,859,814,624,472,407,
370,869,612,257,752,495,344,323,733,745,911,751,962,997,569,565,216,560,195,
808,812,711,923,530,771,604,817,029,809,132,664,592,780,561,692,373,786,936,
082,164,541,737,779,010,956,256,567,414,378,441,363,198,610,746,055,292,824,
413,103,797,454,558,545,876,421,759,194,148,925,629,218,157,444,424,644,825,
402,043,685,853,423,205,883,860,077,917,752,584,021,837,932,767,128,450,038,
514,370,218,052,332,648,542,998,074,696,124,726,893,476,811,573,053,843,841,
333,702,643,148,806,042,267,354,186,192,626,933,545,289,574,325,637,298,325,
675,736,889,916,120,844,813,585,965,062,622,683,821,362,340,082,773,965,487,
266,635,517,284,738,123,979,009,079,317,581,940,799,114,159,752,862,338,212,
079,580,510,903,617,023,194,242,051,018,480,723,339,802,748,555,579,707,456,
350,079,448,330,305,154,951,592,958,145,976,355,803,714,342,067,408,708,758,
743,170,865,767,716,466,390,532,176,379,981,394,030,095,429,144,606,065,912,
932,484,626,282,650,571,492,413,601,155,235,151,967,223,672,451,975,771,004,
596,413,633,001,316,414,776,900,119,541,987,727,150,878,231,887,486,507,071,
652,419,636,239,304,422,441,052,657,286,786,187,593,716,774,170,348,864,377,
146,170,194,349,266,705,525,466,223,802,343,493,917,426,815,805,795,722,357,
871,412,963,369,112,079,081,141,905,156,127,855,318,765,151,488,992,850,126,
565,192,006,504,783,185,851,584,362,004,691,823,997,827,618,183,613,374,592,
335,826,667,645,349,231,201,976,187,819,792,646,939,755,915,940,739,831,894,
032,293,335,290,214,090,920,102,752,487,170,425,015,755,524,978,461,845,889,
245,653,498,729,582,591,236,361,981,840,976,018,719,223,032,359,491,048,895,
003,800,864,340,154,926,399,525,572,898,226,735,557,840,674,336,685,332,190,
295,182,285,782,523,096,043,193,379,398,817,234,635,024,141,917,683,491,398,
034,781,465,571,046,902,565,904,980,282,788,287,499,590,857,772,887,508,595,
490,163,218,994,320,934,806,247,881,569,415,396,396,939,146,503,690,089,630,
153,220,639,290,877,155,261,335,034,627,677,994,646,400,102,893,068,799,600,
106,198,258,446,895,640,734,911,995,066,265,172,687,727,948,793,827,623,223,
866,009,779,757,854,259,086,618,263,294,649,480,974,394,663,367,012,684,335,
282,096,215,657,576,012,713,678,156,656,285,493,264,312,587,778,089,866,439,
652,993,343,859,368,418,236,392,008,161,164,475,760,938,426,625,185,388,940,
612,066,525,957,325,366,877,646,231,801,324,040,361,602,007,516,277,187,348,
042,020,073,678,833,920,285,413,326,464,132,489,867,025,952,726,285,857,591,
059,664,585,556,184,609,077,231,982,973,294,056,213,444,573,782,630,693,937,
117,126,697,892,449,161,982,878,875,069,964,329,826,412,680,019,705,197,941,
864,057,799,307,305,445,889,527,201,656,797,639,767,682,578,087,914,881,347,
010,549,956,612,701,502,782,075,097,039,733,881,513,861,089,440,224,083,282,
775,759,714,938,264,642,204,440,149,162,356,871,496,666,205,026,506,721,664,
596,517,950,767,156,887,611,524,946,211,305,202,634,694,032,380,850,162,659,
827,327,579,583,873,268,813,550,623,441,993,003,276,272,679,646,052,392,581,
758,174,170,967,575,232,207,182,913,867,261,743,375,493,282,065,495,066,304,
396,509,475,219,685,291,754,601,536,184,181,195,268,058,562,419,906,368,677,
164,667,144,959,663,579,724,820,637,585,304,030,141,214,391,471,956,435,003,
966,027,774,620,997,153,000,349,838,503,436,608,726,642,297,419,880,764,556,
151,403,566,888,406,832,334,875,553,608,586,305,790,355,539,244,133,624,759,
316,246,950,785,973,795,415,473,347,338,429,489,400,784,346,846,354,580,409,
456,997,690,078,163,327,837,350,950,809,423,525,381,342,256,649,339,113,756,
844,260,359,078,548,589,840,167,884,306,159,858,677,612,184,400,625,348,686,
658,780,105,201,872,229,494,779,416,297,988,433,954,747,442,715,512,172,889,
282,243,923,364,687,805,751,164,808,469,043,940,430,849,271,018,076,930,223,
869,315,887,142,528,815,018,545,461,205,652,506,106,804,360,053,404,064,830,
951,982,767,202,456,653,226,420,630,336,497,683,737,965,539,043,546,304,768,
375,080,100,896,436,156,337,530,930,512,872,921,283,817,447,740,015,739,764,
217,304,787,995,395,458,243,520,467,800,771,012,543,194,187,257,553,612,897,
893,689,114,918,053,991,288,444,660,700,816,041,523,255,114,464,746,754,536,
143,324,873,853,050,788,195,114,640,786,172,812,380,062,060,101,139,705,802,
854,141,426,157,516,496,781,299,932,188,790,055,538,871,938,514,578,105,768,
408,436,612,313,699,595,938,678,850,326,415,659,685,927,066,257,995,503,398,
671,225,909,884,006,618,626,507,534,317,748,498,737,972,656,516,730,174,342,
548,546,346,504,135,528,879,218,006,295,301,685,543,484,880,170,872,707,722,
625,483,009,258,512,459,676,971,654,442,138,363,296,185,978,706,124,898,289,
180,820,977,620,308,880,342,254,103,121,074,524,326,802,607,672,952,625,397,
056,775,352,282,244,232,656,079,021,786,139,072,022,368,226,519,530,086,487,
184,626,036,126,489,336,861,340,813,746,482,616,868,054,424,288,752,720,118,
610,373,825,221,353,706,061,803,254,861,743,601,479,252,222,544,919,643,449,
983,864,085,448,010,392,127,463,191,737,749,972,639,856,293,041,630,651,574,
645,932,283,481,333,463,971,082,595,299,177,739,193,417,039,740,129,345,435,
027,090,590,727,037,010,702,797,182,453,278,878,290,673,143,012,090,473,097,
333,676,016,625,494,264,430,542,209,040,055,863,002,404,458,592,733,299,541,
251,755,721,476,475,392,959,718,402,064,053,611,003,167,437,287,830,820,658,
320,853,830,755,120,148,467,198,619,951,841,694,468,902,018,527,070,888,982,
918,169,447,327,367,242,602,154,973,147,104,465,040,622,590,380,783,692,110,
590,583,529,922,024,266,727,730,571,047,616,887,848,846,329,421,339,852,671,
443,404,646,107,820,235,354,642,693,266,350,419,576,300,302,652,294,590,186,
974,505,706,374,141,897,042,814,080,576,103,515,291,398,178,395,850,351,731,
215,378,675,489,082,843,749,269,180,141,770,092,549,745,150,470,407,232,934,
800,345,533,671,281,426,175,446,865,213,759,831,957,247,998,665,460,864,828,
092,002,547,531,951,685,994,963,863,044,631,907,482,845,114,553,074,829,559,
960,298,522,177,727,743,117,540,376,946,215,561,261,999,810,644,495,306,678,
087,240,778,034,449,313,531,736,878,454,293,315,880,024,033,957,966,076,904,
016,908,307,354,190,030,737,314,859,602,512,959,911,538,632,902,634,384,772,
857,941,831,925,486,670,327,870,311,884,714,657,905,734,191,817,209,698,789,
121,110,648,782,393,211,987,609,702,487,037,254,825,125,234,652,115,348,780,
150,075,752,616,226,135,436,781,211,650,958,106,421,275,981,400,418,607,846,
528,628,524,697,249,878,293,006,428,435,921,024,076,493,224,161,545,992,378,
703,584,499,567,474,928,491,808,167,561,810,652,406,835,603,838,577,370,985,
816,446,853,502,703,549,949,330,104,833,479,883,445,039,811,778,387,941,868,
465,167,129,157,128,800,385,816,153,072,737,141,037,258,705,913,842,950,901,
589,088,258,383,019,698,791,110,097,450,292,537,928,512,545,395,169,923,837,
336,324,067,683,895,063,188,465,499,463,466,661,210,008,153,231,060,647,251,
820,611,695,326,504,634,402,065,084,977,595,096,964,979,538,576,350,725,181,
161,642,060,622,205,100,115,266,130,894,599,167,504,933,162,707,507,627,004,
550,494,453,847,201,689,894,574,847,641,724,265,511,348,545,939,227,456,931,
027,655,989,374,950,694,882,456,290,144,069,443,884,657,363,915,062,873,405,
041,957,717,008,362,370,719,930,193,649,043,977,300,240,815,042,819,242,245,
209,391,215,633,517,382,361,167,993,366,883,246,636,135,032,312,023,802,885,
172,963,655,853,132,388,655,831,236,562,019,314,947,310,428,457,105,262,263,
411,679,631,893,337,267,909,870,633,317,596,719,392,800,597,130,223,776,515,
772,653,384,271,383,216,750,775,072,224,177,172,936,640,752,893,553,356,516,
852,938,649,029,571,769,872,343,946,563,248,056,644,026,038,114,596,505,468,
787,599,900,252,423,768,588,789,329,040,564,038,505,441,363,081,888,470,398,
586,217,468,530,549,808,272,868,404,903,102,357,188,389,582,354,857,816,706,
443,420,739,547,544,581,567,505,127,721,243,319,599,031,848,478,754,370,207,
490,632,098,668,009,010,104,317,925,060,823,115,137,364,467,097,278,709,939,
330,733,270,065,080,682,839,479,680,964,399,599,660,546,742,360,524,056,043,
668,333,628,009,808,076,645,769,775,794,697,545,238,895,254,300,016,351,136,
492,415,035,350,990,077,536,232,990,535,321,322,759,692,273,908,784,412,228,
142,017,034,856,474,327,996,474,985,047,192,994,819,326,781,322,815,812,552,
308,820,818,142,291,039,996,766,852,564,965,614,998,192,246,411,927,608,860,
648,835,540,711,012,754,630,837,147,599,864,340,904,893,078,956,911,000,423,
823,828,138,529,614,438,857,051,762,481,443,270,287,166,293,064,832,360,167,
102,146,419,691,112,047,418,592,467,183,334,550,374,470,577,065,344,254,448,
704,090,144,901,026,504,246,501,530,974,247,209,572,309,186,155,208,864,835,
828,280,477,094,459,204,438,466,695,621,528,193,468,129,055,090,325,516,173,
626,778,089,503,069,849,547,201,304,746,691,939,335,522,723,555,142,355,133,
578,444,004,509,806,911,833,608,310,904,916,080,240,904,538,172,346,325,734,
666,895,894,810,146,081,081,431,120,582,598,361,728,264,057,841,159,787,941,
986,355,299,464,584,162,082,273,330,873,468,437,979,647,485,664,296,334,658,
003,471,876,991,888,906,531,335,687,966,011,945,051,211,883,322,637,938,687,
787,706,927,820,191,202,559,042,532,142,950,745,743,472,909,336,944,748,510,
214,986,487,456,329,546,295,798,440,827,403,621,061,200,410,455,248,095,401,
880,348,404,029,800,859,478,713,907,804,328,985,312,745,164,706,267,763,988,
344,492,173,194,954,664,260,641,095,060,991,604,204,185,387,179,743,095,510,
467,106,370,619,346,286,305,894,079,457,766,919,723,305,027,488,355,443,638,
605,933,493,871,298,906,211,587,591,673,332,218,481,128,000,210,383,224,505,
061,402,606,700,867,402,791,487,125,161,799,801,996,446,931,563,274,436,780,
610,516,978,713,307,096,477,507,226,190,289,863,445,478,107,105,420,776,762,
160,125,505,432,959,882,470,026,321,885,735,775,568,545,036,228,561,328,508,
516,724,804,067,198,115,737,391,391,485,130,929,166,862,465,084,641,310,423,
510,895,597,131,196,618,265,802,524,406,828,165,949,394,891,500,437,738,527,
296,934,131,813,167,999,265,610,398,995,963,135,212,656,446,658,146,334,922,
281,252,432,585,318,421,945,388,724,929,467,794,854,736,439,516,312,082,320,
422,151,931,475,972,977,268,403,078,336,616,183,059,259,560,225,104,587,005,
456,955,161,512,171,645,800,707,032,825,648,211,380,780,143,925,486,516,006,
585,305,964,983,999,109,148,263,210,035,550,809,130,415,513,634,121,809,201,
014,282,311,721,592,632,504,997,537,280,490,887,201,372,781,836,558,638,225,
574,710,573,370,627,158,835,927,496,957,960,245,456,868,379,215,672,523,682,
941,789,741,342,308,540,338,584,078,056,372,395,260,934,476,996,524,030,742,
679,055,383,191,427,765,834,724,522,749,592,041,119,570,091,260,928,103,386,
932,602,595,234,353,640,431,678,642,338,583,161,904,758,895,178,069,668,468,
803,475,777,123,040,517,950,487,361,597,775,893,129,593,626,120,688,928,961,
862,229,397,644,481,354,679,154,487,019,053,628,191,565,041,074,120,782,630,
691,474,712,622,066,882,670,315,570,500,703,425,631,982,370,618,512,501,337,
943,316,757,277,621,821,496,497,339,736,279,180,376,099,435,311,896,405,566,
036,198,318,101,457,600,707,732,816,163,336,637,854,351,622,643,054,885,154,
842,586,655,398,501,504,374,843,085,213,547,973,760,098,957,357,269,165,604,
468,712,834,142,661,507,487,144,446,265,894,832,919,127,626,315,327,414,090,
351,374,760,718,558,606,623,098,775,073,216,532,456,912,271,276,399,910,208,
941,261,803,350,889,635,761,143,058,420,191,191,113,554,083,589,870,583,456,
940,175,680,941,738,262,096,620,965,812,322,925,486,984,121,010,838,793,271,
445,357,464,632,098,349,963,701,914,779,260,361,703,604,535,956,394,237,172,
790,508,687,194,539,999,956,056,475,403,253,173,626,536,146,508,018,299,290,
615,427,727,132,671,778,174,435,708,044,823,769,607,035,229,929,652,651,205,
886,012,773,890,884,763,647,905,094,250,149,852,809,654,225,121,028,321,641,
663,445,974,541,721,349,269,565,727,310,083,933,690,200,148,034,795,310,056,
048,271,448,634,892,373,099,152,038,581,025,596,567,765,551,479,483,963,717,
753,121,714,383,185,213,220,783,362,308,913,689,029,743,102,567,135,484,169,
972,434,579,576,181,505,927,181,125,534,644,775,494,350,138,319,847,149,371,
540,162,414,092,932,465,278,851,808,766,531,890,534,321,009,461,037,756,952,
752,889,137,391,584,867,568,981,079,461,279,957,164,853,652,230,390,676,288,
141,252,919,841,805,152,746,271,581,970,194,255,895,326,819,477,878,275,512,
610,359,217,825,677,036,802,241,157,779,742,267,688,035,600,476,781,309,814,
993,168,317,369,360,480,139,079,314,348,285,149,230,934,309,703,845,427,607,
873,079,686,861,931,297,758,592,119,685,602,040,783,702,937,050,594,713,830,
756,768,178,455,522,718,522,725,473,298,851,841,349,296,057,459,338,090,334,
649,012,781,255,980,752,130,820,066,448,394,003,944,210,924,079,761,552,371,
995,674,039,877,265,112,273,323,203,335,818,518,633,610,571,076,469,950,700,
880,359,214,470,430,354,458,131,681,184,290,589,983,622,750,522,757,467,176,
808,098,449,295,531,255,764,797,408,617,064,469,399,744,743,435,242,891,816,
180,402,502,800,472,696,314,758,463,337,378,369,166,616,129,786,627,672,575,
687,214,787,450,210,120,808,858,857,615,210,100,813,967,435,097,014,452,315,
282,459,532,136,747,024,613,852,309,387,689,812,055,140,991,665,748,425,160,
532,515,878,304,071,525,195,874,481,406,241,309,663,387,927,826,181,342,914,
598,631,622,613,717,422,635,401,231,046,571,654,314,942,799,180,237,211,813,
024,073,394,842,458,199,758,240,326,882,435,090,588,235,923,682,977,191,485,
140,883,396,226,528,399,489,398,702,828,951,211,797,752,552,894,307,590,435,
610,768,089,184,580,632,563,522,124,469,407,599,174,463,186,444,415,738,837,
734,999,850,422,271,009,329,559,477,453,406,290,952,181,497,556,803,674,902,
078,347,704,473,770,915,952,632,115,550,058,106,150,517,863,321,531,122,421,
146,194,102,347,052,623,819,689,763,609,433,853,329,481,253,570,610,200,062,
362,227,418,923,602,561,641,434,181,874,708,361,434,352,702,377,421,898,520,
876,414,694,295,415,421,918,844,032,977,419,262,122,065,791,678,352,058,701,
166,348,947,713,396,295,756,971,644,775,092,704,122,771,177,672,585,434,324,
048,951,037,709,845,020,619,438,817,128,785,339,753,555,754,069,409,817,948,
880,370,285,060,879,249,042,648,558,607,386,287,723,732,555,386,819,931,035,
991,828,476,587,335,558,044,875,242,029,891,616,598,370,868,129,839,661,659,
496,570,417,914,295,893,583,432,799,073,845,325,581,090,546,900,433,131,475,
819,967,152,015,603,119,934,685,420,143,672,682,409,158,922,719,385,224,393,
811,735,853,140,655,444,492,351,100,532,738,115,488,564,888,268,832,129,997,
905,943,888,710,173,063,272,246,696,676,591,839,203,870,034,213,904,026,161,
587,426,169,430,080,380,834,445,877,252,086,543,270,089,985,005,367,556,202,
873,561,563,502,026,440,500,672,032,458,033,578,646,355,134,865,689,385,630,
604,289,024,165,981,524,878,839,662,849,517,867,000,414,244,018,622,415,421,
099,010,409,564,124,406,333,287,676,318,094,926,834,265,872,558,001,803,158,
046,618,338,798,476,664,583,448,244,850,990,384,063,223,207,602,507,656,634,
994,005,150,226,570,635,786,255,637,669,881,572,084,426,666,048,593,146,640,
252,076,696,966,446,989,182,773,161,949,283,276,134,719,712,523,828,364,223,
975,321,595,226,074,298,978,068,900,736,426,922,253,183,197,540,047,894,448,
933,739,311,721,669,630,973,430,669,564,440,419,966,848,252,738,489,113,925,
184,130,950,285,530,998,512,261,144,361,202,581,443,533,349,335,007,169,333,
556,289,576,209,967,985,951,387,606,801,510,635,656,079,004,534,032,763,436,
887,511,653,671,802,101,713,736,921,633,052,423,194,568,985,220,498,047,870,
423,564,329,490,151,303,235,094,321,307,182,486,885,899,963,716,215,883,474,
340,316,839,210,024,235,332,880,391,922,592,136,762,696,924,710,895,301,995,
510,958,827,845,749,013,184,751,938,544,004,810,278,924,506,281,564,981,147,
024,544,404,627,996,044,090,370,983,485,367,619,634,398,073,416,714,783,381,
164,043,514,429,157,343,899,504,006,687,428,200,557,064,550,251,599,677,268,
761,421,336,641,977,159,281,988,888,671,536,363,528,916,450,618,199,656,407,
286,632,874,868,407,285,639,284,463,775,249,097,949,172,349,689,738,721,651,
898,463,009,324,049,895,531,307,868,137,145,015,406,904,761,553,318,450,889,
687,819,313,573,902,235,031,372,793,349,123,240,762,228,141,576,110,885,809,
139,573,102,867,261,961,207,703,696,272,176,059,065,010,889,009,969,700,451,
443,323,367,536,291,653,709,143,895,225,280,446,782,710,734,970,637,633,592,
913,433,080,625,003,905,988,845,455,158,192,328,423,803,696,322,178,544,586,
860,475,228,464,955,956,303,859,659,722,548,977,929,928,801,305,482,432,515,
023,845,091,975,160,407,797,738,944,987,035,003,548,849,817,338,035,974,391,
652,769,242,533,142,732,678,420,729,268,539,303,823,622,270,696,395,776,171,
434,389,214,692,036,550,352,124,770,388,866,354,358,038,101,796,438,210,870,
353,038,934,256,387,420,014,813,059,870,073,714,618,448,234,813,115,312,044,
209,945,862,419,132,228,773,824,882,315,706,572,580,090,465,955,844,731,029,
489,148,619,618,121,724,933,899,532,883,432,009,826,134,706,528,343,857,408,
585,213,398,575,365,396,700,771,040,663,041,502,487,918,502,304,635,862,042,
096,611,602,871,802,708,953,689,956,733,970,197,654,735,922,014,948,909,856,
290,075,055,027,361,368,299,099,177,148,195,811,187,343,779,589,601,099,756,
828,382,700,845,100,271,501,841,937,074,462,227,375,432,210,034,906,913,131,
331,420,256,850,936,277,472,266,062,483,142,858,239,683,379,015,198,695,399,
962,121,859,901,079,469,386,430,181,372,323,892,917,626,479,584,732,518,761,
723,740,820,897,928,579,728,986,676,326,461,559,397,354,112,308,131,909,868,
165,626,331,412,694,959,020,328,172,882,944,277,245,950,856,028,784,238,209,
352,035,532,031,264,471,343,389,179,419,931,785,064,602,438,802,629,950,922,
198,218,457,103,820,971,095,893,359,750,682,952,841,432,144,163,363,426,558,
700,031,502,845,890,571,262,995,832,636,940,484,646,593,523,752,013,747,108,
463,672,731,762,873,776,347,597,502,725,191,185,632,161,879,049,917,001,192,
700,653,602,791,762,211,738,578,063,003,669,008,241,394,629,956,124,692,018,
580,528,486,600,542,191,159,006,849,139,035,104,895,411,294,900,374,721,695,
232,909,261,695,433,649,336,240,243,371,442,976,623,825,428,418,827,728,299,
903,514,886,128,361,088,940,428,268,313,793,723,469,446,839,502,729,951,717,
900,125,789,636,060,000,713,205,610,175,906,402,181,395,361,227,055,024,738,
210,471,098,362,393,933,645,066,051,191,570,439,280,364,035,637,738,225,873,
279,952,296,047,845,372,312,284,648,406,410,152,964,627,595,920,796,289,136,
189,110,191,768,654,738,711,325,418,641,678,890,564,068,199,020,561,258,999,
251,697,529,261,219,572,276,009,878,914,118,675,146,147,607,666,053,921,721,
516,045,839,831,892,880,393,539,085,983,315,406,478,408,597,586,576,482,201,
976,133,396,802,916,140,484,374,430,872,877,105,228,549,285,567,339,186,125,
009,096,523,183,660,086,510,754,787,773,460,505,642,304,411,654,140,157,782,
240,706,060,592,548,982,654,638,826,988,973,124,638,022,876,459,391,304,615,
442,641,044,039,483,375,994,773,167,560,443,718,125,687,204,586,817,071,963,
607,397,223,098,900,636,115,487,430,642,234,596,467,136,043,384,756,275,578,
505,134,070,542,760,362,526,899,945,465,354,526,398,057,638,597,638,586,061,
562,335,499,682,087,993,738,856,842,046,808,021,547,114,386,351,677,547,782,
717,867,380,500,234,713,437,943,284,035,372,421,727,520,793,924,368,664,137,
378,481,396,470,291,317,824,656,644,264,935,809,561,713,317,552,059,853,434,
939,531,750,391,955,650,211,022,726,404,587,564,430,558,401,699,643,861,930,
872,685,066,539,080,447,078,252,428,119,631,906,942,189,669,376,961,663,995,
494,467,391,597,238,328,320,036,169,178,242,824,147,042,367,824,293,193,559,
956,987,776,370,029,739,182,582,515,259,075,300,307,991,973,507,234,576,190,
491,559,231,489,329,418,400,233,380,093,032,655,312,949,904,261,797,694,523,
567,844,024,323,926,462,456,729,858,995,486,413,775,681,150,663,741,638,787,
625,694,257,446,900,265,502,337,154,321,752,127,504,434,081,998,362,218,939,
278,403,123,745,568,150,611,099,059,973,553,328,540,311,322,498,602,186,452,
093,328,570,434,408,415,388,539,210,568,089,094,583,933,504,817,065,974,959,
368,591,156,009,379,818,077,547,902,326,275,954,404,084,261,279,657,873,547,
270,491,079,146,167,600,361,711,256,939,761,905,439,089,735,485,436,531,632,
576,043,778,033,506,013,688,250,957,078,601,317,256,681,526,918,455,371,084,
864,812,177,241,228,667,748,207,274,453,227,384,035,748,139,851,809,361,095,
361,063,486,540,067,805,357,448,940,313,073,305,913,339,958,949,375,796,865,
634,005,007,706,092,662,553,590,631,935,133,657,537,925,949,337,473,027,585,
948,931,962,663,062,053,424,680,847,623,653,877,858,220,435,609,977,661,984,
404,220,245,572,350,759,699,614,971,712,374,719,137,972,474,720,914,643,490,
183,966,886,676,754,880,888,832,042,442,098,504,321,122,216,197,996,998,098,
470,369,584,524,610,023,095,874,657,123,641,440,565,083,672,133,645,484,086,
397,493,878,478,399,400,467,248,078,495,643,207,594,311,028,182,638,609,700,
876,129,199,221,525,363,750,719,576,446,535,955,123,827,990,577,136,292,537,
291,943,510,065,133,919,946,541,342,952,473,632,219,363,329,927,900,119,610,
327,855,504,026,100,714,666,224,364,714,327,365,861,782,474,133,437,661,325,
001,144,861,661,373,147,658,679,649,205,413,911,244,900,678,188,763,171,550,
731,611,345,890,283,259,749,659,280,942,342,456,896,214,619,431,975,716,693,
889,914,190,491,335,170,668,924,807,792,799,575,858,831,108,696,587,380,550,
355,075,742,852,867,779,446,769,057,290,931,114,926,658,497,670,384,761,101,
951,708,616,058,100,996,723,239,478,104,591,756,962,750,676,622,326,994,879,
469,764,521,904,210,264,725,845,520,749,556,355,064,342,370,856,863,415,081,
137,071,496,695,470,319,765,960,694,373,016,830,590,490,053,557,026,115,500,
795,214,095,472,443,527,569,357,530,690,486,470,832,767,784,465,580,578,528,
087,196,328,391,585,642,487,674,403,733,698,638,635,608,658,599,437,272,390,
830,365,365,964,700,462,934,101,675,251,464,802,922,570,182,845,758,646,431,
487,644,079,172,044,664,416,611,794,210,137,268,720,667,170,924,589,613,699,
349,586,421,182,516,504,057,703,743,501,224,274,816,561,713,412,086,812,169,
982,440,395,888,246,807,312,509,873,043,765,581,511,682,139,701,943,747,680,
036,517,948,452,250,504,264,198,577,267,821,849,147,749,336,741,635,557,791,
519,941,318,949,050,328,365,481,821,962,707,719,719,863,003,191,690,789,896,
004,437,978,650,584,101,164,924,663,715,310,083,282,248,006,521,115,203,044,
748,867,550,565,723,203,956,367,224,596,695,566,739,933,161,077,008,850,132,
628,917,092,075,764,294,035,720,474,451,517,380,934,738,991,981,318,709,443,
900,731,381,922,247,790,864,456,650,892,343,786,587,742,344,249,383,080,237,
851,432,144,652,961,979,812,651,296,618,880,698,821,561,557,635,108,488,819,
049,439,356,250,715,520,253,766,310,750,433,866,277,574,825,493,209,550,637,
693,162,053,263,963,445,438,172,284,021,852,461,682,882,119,984,959,077,822,
531,527,926,594,787,514,551,233,928,573,564,097,009,442,635,182,949,348,808,
546,620,173,192,470,739,202,650,392,406,204,778,295,819,839,257,295,301,404,
880,896,481,472,213,831,808,501,031,156,506,822,737,479,914,884,713,948,513,
769,837,824,797,449,470,139,509,726,612,011,861,183,373,928,841,082,259,270,
058,108,582,163,601,336,504,371,228,923,930,199,112,601,435,939,206,161,260,
499,664,657,190,903,071,670,913,420,170,080,647,467,639,497,034,368,660,564,
804,197,817,955,737,504,913,253,534,864,800,160,716,319,214,463,879,225,669,
120,208,602,952,470,797,061,032,173,916,810,022,596,148,507,297,791,514,401,
231,694,102,310,303,004,024,865,432,264,682,640,755,148,203,684,787,432,085,
140,896,052,638,138,094,734,258,942,265,256,809,676,537,721,175,510,801,917,
409,224,734,251,889,536,544,016,912,247,098,305,176,592,454,121,506,804,634,
801,198,500,839,221,724,589,110,674,860,934,258,785,821,769,885,449,593,276,
356,152,481,925,144,325,069,792,009,674,428,418,536,935,966,053,269,069,326,
201,671,831,347,461,692,144,750,209,350,446,940,567,327,424,526,017,077,487,
944,727,373,023,733,132,739,645,538,878,080,922,218,438,394,054,784,624,780,
541,332,552,769,099,131,088,822,748,443,427,389,910,630,307,709,905,382,408,
944,838,206,167,707,902,013,375,911,215,058,669,308,314,459,865,838,198,256,
898,104,740,238,525,156,799,274,584,052,214,950,413,313,793,090,756,961,766,
341,091,737,739,807,029,670,636,127,145,506,926,328,037,169,608,765,476,611,
821,188,774,174,536,776,684,939,679,708,519,836,215,519,765,015,297,679,781,
875,741,105,809,373,198,439,140,869,380,600,783,184,938,716,537,495,494,444,
057,065,936,392,308,067,057,537,491,761,926,762,813,062,826,429,278,620,582,
188,381,137,433,115,106,194,121,329,555,029,862,997,391,659,497,455,040,123,
456,185,128,604,133,844,998,985,474,703,787,867,207,101,731,015,185,467,329,
124,925,431,616,538,743,258,273,864,036,445,979,598,875,948,065,170,080,282,
690,935,258,399,615,238,366,951,300,516,885,657,446,261,889,945,154,554,721,
638,303,863,190,822,081,333,380,673,890,596,974,312,778,569,610,591,729,452,
605,635,052,704,149,148,956,649,638,916,966,370,832,360,901,482,114,571,354,
530,183,535,987,568,634,118,352,178,743,985,507,550,590,258,587,569,945,609,
278,209,467,294,440,200,935,931,951,843,583,731,622,983,989,738,091,473,914,
026,556,176,131,262,250,814,879,732,958,205,956,560,238,213,807,208,054,209,
863,387,999,340,337,172,671,576,990,548,729,853,580,694,194,285,713,353,860,
537,430,583,784,123,825,364,226,969,564,716,077,752,095,700,163,739,938,961,
119,080,114,302,333,608,290,760,618,364,861,233,253,814,750,077,300,862,589,
560,003,145,976,046,735,994,864,201,112,747,224,360,894,201,323,789,208,842,
338,074,522,040,955,699,471,061,355,947,306,940,571,528,702,300,155,461,343,
261,501,487,164,704,355,135,537,277,742,279,484,393,470,284,290,296,048,558,
122,041,304,732,932,499,287,417,790,167,168,102,675,193,154,644,671,719,794,
001,218,250,715,344,060,058,812,007,709,840,181,351,673,182,616,228,060,848,
403,014,102,142,804,364,381,636,411,022,635,002,925,192,777,138,535,513,441,
069,877,246,560,805,363,622,775,837,945,928,340,061,308,209,304,988,916,454,
878,962,686,355,100,443,999,540,701,640,725,436,767,900,925,568,821,473,931,
043,022,101,884,079,737,164,269,337,765,138,424,059,374,770,541,761,495,497,
003,156,637,031,122,295,653,365,388,614,389,872,643,320,740,960,280,269,529,
439,675,620,760,641,094,063,502,395,812,617,017,558,654,154,931,599,281,933,
345,815,857,278,774,735,116,619,338,665,398,353,087,447,812,680,247,375,189,
600,694,379,862,126,694,258,706,536,004,074,175,683,872,982,804,737,775,314,
000,343,433,770,211,977,519,081,905,284,580,765,852,376,371,151,686,928,200,
776,582,469,806,030,366,018,713,460,349,776,898,226,768,268,611,942,361,436,
174,308,426,392,757,478,712,001,657,954,105,987,197,407,963,658,627,187,064,
342,693,525,906,688,614,251,577,073,508,855,844,020,485,256,724,803,353,060,
004,665,399,833,250,046,558,784,333,751,798,122,269,819,054,651,861,367,029,
575,352,634,698,077,000,111,696,179,011,228,300,264,879,564,794,259,063,574,
980,554,671,998,866,023,524,837,635,236,395,194,491,467,317,952,115,186,313,
825,223,729,906,361,509,717,859,569,328,869,470,074,890,031,157,473,234,968,
586,433,805,666,193,418,849,558,965,866,961,140,608,543,380,397,166,168,015,
582,017,791,703,534,819,762,342,242,060,525,938,653,159,864,334,017,981,775,
332,749,549,249,799,417,934,675,239,957,471,002,179,314,826,518,102,234,993,
392,165,547,929,766,420,446,363,272,289,798,653,305,751,177,913,589,548,362,
078,430,015,125,909,239,299,605,661,339,270,637,549,308,280,246,152,232,274,
099,995,683,159,738,607,930,147,844,575,174,177,176,068,193,871,956,508,734,
152,424,086,268,783,846,556,625,605,908,346,573,098,122,087,099,262,484,565,
498,775,624,963,139,890,041,840,690,519,508,779,585,299,720,180,098,319,978,
501,869,506,802,101,699,697,186,267,636,083,628,210,925,850,295,608,355,251,
364,439,087,011,527,253,916,568,555,808,639,218,920,190,985,694,559,450,560,
371,824,075,035,777,493,032,306,021,735,906,214,151,951,141,422,142,742,577,
516,070,911,649,314,132,048,365,805,348,201,276,124,746,114,285,177,334,769,
324,628,945,791,873,520,681,825,885,119,289,978,748,266,718,563,073,462,004,
071,873,505,063,438,162,706,848,364,607,375,317,788,570,264,616,743,429,325,
273,512,287,172,253,073,270,695,687,970,949,332,075,889,150,164,573,030,355,
289,183,455,281,372,487,412,260,737,145,103,808,611,483,701,646,198,626,864,
265,452,879,762,298,912,296,340,682,856,326,393,632,383,568,213,580,051,616,
282,046,874,103,807,122,412,973,838,542,101,930,718,207,244,750,079,457,636,
820,528,793,228,113,398,266,412,268,213,454,893,030,081,242,314,035,322,845,
416,338,692,678,019,771,151,161,497,950,448,059,029,045,386,378,259,324,933,
696,815,371,585,825,887,532,287,174,357,600,023,269,565,685,272,848,983,601,
460,949,002,998,161,721,207,356,118,922,036,089,545,179,184,805,491,580,824,
364,833,549,565,690,630,605,871,733,653,621,028,801,095,190,876,967,069,890,
342,472,934,347,185,042,374,233,226,750,901,100,198,110,943,697,326,068,426,
522,246,060,605,564,154,109,789,902,205,856,102,208,239,742,673,800,606,017,
050,457,735,956,563,688,758,173,702,741,904,111,538,880,531,862,567,488,838,
757,397,268,340,570,448,689,590,770,361,886,299,200,968,135,813,293,666,922,
057,030,279,825,944,384,032,318,386,821,719,231,947,504,263,744,620,988,970,
759,589,997,936,352,877,992,525,517,768,986,921,764,444,610,176,068,742,469,
278,564,699,980,828,835,700,844,763,440,598,351,000,048,400,664,542,245,298,
249,589,681,065,080,820,577,575,024,497,140,588,278,732,051,601,326,898,213,
961,105,394,045,204,543,275,762,772,698,460,618,017,151,749,822,046,523,467,
782,995,312,962,179,977,535,883,054,370,611,200,709,898,641,196,517,263,575,
469,768,071,459,324,988,487,166,155,844,625,987,416,350,669,193,833,247,358,
678,039,155,283,829,855,642,321,868,547,456,900,259,314,885,673,258,756,345,
388,039,502,541,121,984,244,194,762,559,236,104,061,532,923,168,934,139,195,
698,057,456,413,569,662,333,227,371,578,539,309,619,725,218,062,539,061,923,
425,581,264,307,183,049,380,746,658,070,595,161,839,937,422,913,931,581,295,
549,235,261,751,953,281,877,002,681,947,774,231,059,595,333,142,411,677,917,
190,141,671,878,417,236,208,005,132,612,371,410,628,261,379,984,716,182,828,
608,088,811,103,020,216,786,288,937,701,747,615,253,968,860,044,573,123,527,
358,626,124,970,753,223,823,149,864,627,555,186,458,884,435,816,205,454,018,
119,342,118,704,646,156,873,079,637,173,874,414,291,281,759,767,908,531,466,
484,589,819,511,416,049,747,048,560,397,082,931,321,223,154,244,941,089,657,
007,851,310,882,477,613,885,339,479,811,566,240,676,127,451,693,176,793,217,
421,385,781,880,025,584,694,217,447,628,266,040,870,921,386,280,250,656,460,
177,246,808,027,649,441,102,608,406,500,056,205,846,213,021,287,203,315,799,
072,462,066,077,508,443,330,510,345,153,711,933,085,404,190,964,077,879,843,
638,725,167,233,984,347,173,028,323,390,475,018,945,957,927,129,226,952,931,
240,742,219,759,333,904,021,832,992,817,352,735,727,290,606,881,613,745,740,
129,364,293,514,992,478,661,792,210,775,305,656,383,438,513,158,577,829,772,
868,720,556,275,410,379,672,545,666,055,277,364,616,777,435,826,474,864,641,
850,564,969,128,786,406,620,491,645,391,965,181,649,063,852,973,263,722,678,
738,996,555,503,145,239,942,949,285,527,835,905,438,246,366,798,787,736,932,
057,678,326,105,485,511,284,328,496,509,061,563,834,776,366,163,734,644,050,
891,275,914,129,073,733,833,183,734,681,528,215,697,426,016,499,804,857,821,
942,214,853,620,998,074,604,419,181,229,794,009,310,257,444,731,263,408,450,
603,295,842,597,632,997,237,272,742,148,340,585,707,217,170,221,286,463,822,
353,324,795,624,919,859,416,411,112,232,958,564,018,667,382,201,836,730,323,
498,919,970,521,795,312,853,606,258,286,114,736,272,760,396,605,749,535,554,
104,727,542,405,591,754,577,329,237,022,184,174,395,973,348,318,630,165,418,
733,634,359,963,080,328,756,256,335,640,220,440,382,980,326,533,144,585,265,
211,518,007,450,770,596,104,306,984,104,982,984,171,130,201,081,094,734,786,
006,871,212,193,536,469,441,305,562,596,661,250,067,894,919,912,351,288,638,
316,683,162,790,285,471,757,516,081,027,450,816,534,181,577,880,220,420,748,
610,339,739,630,238,552,694,768,823,573,041,206,406,686,673,384,085,502,345,
407,817,227,491,963,325,808,050,728,440,766,478,683,701,715,316,850,168,574,
635,448,206,847,504,041,979,995,151,212,427,892,774,115,497,352,976,667,890,
551,787,756,272,750,667,362,469,892,029,770,316,265,088,284,475,065,259,748,
974,157,124,576,068,964,958,555,551,681,597,752,610,089,166,681,746,325,374,
636,954,345,336,536,710,555,676,500,426,541,168,918,622,584,368,654,924,053,
428,645,814,612,030,355,274,359,288,102,798,388,318,772,779,403,024,536,499,
524,333,654,818,168,057,651,477,215,826,452,559,403,453,448,089,125,397,267,
949,308,739,981,127,641,915,599,157,637,337,517,190,636,645,355,797,206,270,
215,802,989,682,012,659,111,454,127,580,546,552,664,887,758,654,865,852,700,
224,645,960,893,326,415,723,659,861,527,790,584,053,045,526,840,441,466,761,
326,237,622,396,754,926,259,719,075,341,927,200,239,676,541,810,884,014,187,
451,230,698,430,913,803,142,103,563,408,765,298,992,854,141,498,069,764,591,
926,434,960,074,409,815,873,774,112,756,850,502,567,737,974,229,766,155,341,
990,621,666,004,743,961,678,002,302,252,056,646,527,092,695,879,062,745,927,
595,837,713,608,356,525,683,988,979,852,228,849,937,271,118,784,032,571,771,
181,442,679,289,612,823,715,792,992,615,981,909,083,261,281,296,933,806,290,
376,343,689,401,125,155,730,382,507,927,692,866,729,144,803,993,652,884,699,
455,689,271,035,625,272,796,728,197,227,910,209,758,312,345,302,699,395,681,
100,327,753,251,587,907,849,651,834,597,691,599,626,369,192,343,004,781,023,
238,690,639,218,655,214,606,212,450,626,740,714,112,854,078,899,328,122,312,
326,376,837,795,791,986,142,168,923,917,849,884,134,524,092,300,250,100,406,
761,396,038,662,375,020,773,703,404,735,424,461,411,687,996,790,596,755,529,
036,894,689,516,288,072,012,426,662,566,403,120,655,742,709,974,182,804,051,
049,635,958,513,626,346,084,258,107,193,832,614,275,704,102,624,460,740,401,
708,291,454,197,540,374,865,089,968,537,656,850,800,760,070,169,813,860,830,
323,202,227,095,855,640,247,129,194,237,285,974,916,745,195,459,897,049,809,
298,449,934,665,815,190,752,827,898,886,001,285,796,226,291,542,010,123,588,
026,763,135,666,300,673,195,061,753,008,943,444,584,997,474,653,226,830,838,
305,447,645,433,933,332,403,732,843,289,863,398,371,115,372,287,183,537,030,
494,547,156,502,937,219,677,102,995,661,650,694,458,594,203,332,652,281,269,
420,723,891,117,049,423,844,030,129,673,415,416,508,809,915,288,985,008,550,
496,248,579,161,818,993,322,846,733,329,546,115,622,275,607,405,565,098,768,
385,170,611,004,554,975,323,600,212,716,430,113,317,312,114,923,306,319,982,
320,476,893,153,270,076,512,586,291,168,889,245,172,629,897,791,092,650,690,
735,706,648,419,189,356,516,093,448,415,681,015,930,698,794,704,720,788,901,
321,437,447,954,418,652,780,293,627,084,589,531,707,793,726,454,312,117,275,
107,139,806,196,894,511,632,593,099,726,631,376,833,610,521,047,699,558,206,
247,655,212,608,407,604,118,967,447,692,645,596,033,011,983,697,084,436,146,
725,407,792,834,828,233,760,951,017,938,919,343,313,933,282,965,476,190,048,
340,178,936,645,906,617,472,725,761,965,157,462,725,360,156,620,340,172,216,
361,629,838,420,490,338,540,962,877,435,191,553,707,881,555,459,303,489,933,
545,772,537,682,528,690,518,695,960,205,808,762,601,945,574,069,883,064,377,
605,981,092,063,778,036,190,085,169,008,618,039,892,520,214,741,374,061,611,
569,554,996,560,214,756,648,531,303,274,121,493,894,075,144,931,039,212,359,
560,545,893,379,059,310,271,449,969,916,649,981,136,228,262,446,919,473,980,
903,229,877,161,304,353,735,238,336,244,576,283,081,387,477,297,018,774,251,
239,384,132,992,135,471,546,292,242,862,087,883,027,706,344,129,924,026,334,
157,037,838,031,550,023,182,527,524,814,017,847,630,916,762,555,778,330,113,
237,738,583,493,417,596,857,596,771,329,900,199,145,341,690,283,498,395,115,
203,918,655,998,446,581,473,009,208,150,236,588,615,318,737,862,484,262,978,
491,413,445,034,526,227,315,221,795,305,780,676,210,463,069,144,740,136,033,
698,466,928,588,417,212,996,333,088,594,833,298,266,014,727,269,523,094,727,
180,956,726,879,338,268,805,566,889,281,544,570,867,111,046,467,984,569,282,
788,371,568,587,706,266,601,481,612,043,086,129,584,852,402,686,300,319,603,
643,718,683,016,642,958,004,446,213,178,380,673,810,434,812,789,869,944,525,
995,251,760,494,710,493,676,761,874,335,104,823,875,371,495,984,354,158,292,
722,481,564,849,754,245,495,471,900,818,594,574,319,258,461,906,644,647,429,
150,097,213,772,904,104,080,650,975,311,104,415,909,586,053,528,501,146,642,
268,358,730,609,910,269,408,240,828,012,069,373,964,652,017,353,123,835,938,
711,540,607,362,991,690,152,120,002,543,662,389,499,518,350,729,767,088,164,
975,862,792,414,851,832,384,278,152,303,571,224,145,484,059,948,528,679,722,
313,361,898,360,024,853,741,555,568,576,344,739,433,351,824,987,222,838,167,
330,874,198,618,414,422,524,743,082,488,683,987,747,474,307,803,695,746,117,
105,615,410,701,653,959,254,584,676,694,982,828,828,113,068,870,480,511,157,
111,677,861,001,655,532,052,800,620,146,631,601,457,660,892,586,843,126,612,
966,095,820,524,969,880,647,995,739,063,817,589,146,229,128,245,621,571,878,
391,089,800,328,770,541,291,428,340,653,953,484,403,401,228,857,825,042,304,
952,295,772,420,656,014,071,980,322,222,464,800,354,627,128,413,167,683,855,
703,944,006,461,841,864,501,152,829,509,768,757,492,907,989,709,714,493,331,
349,770,073,414,069,126,581,189,096,944,980,150,383,060,888,926,679,523,306,
722,696,802,408,709,163,606,979,904,699,042,963,724,757,391,517,325,825,445,
133,679,521,608,685,132,407,120,535,191,422,796,790,640,744,401,549,843,714,
242,968,542,243,366,235,634,581,467,605,027,862,229,738,885,499,830,910,149,
327,947,404,670,444,917,416,097,813,048,348,797,690,080,657,402,383,552,229,
280,930,311,241,424,901,451,114,067,135,228,801,164,837,224,788,672,820,237,
364,445,490,844,108,692,175,150,714,744,163,859,409,409,976,071,116,463,663,
941,856,942,663,829,028,551,350,744,652,509,615,032,362,508,595,524,437,455,
782,603,102,288,199,203,047,636,520,779,300,964,693,558,824,917,134,312,500,
532,640,878,302,650,495,524,041,048,313,737,672,179,674,805,181,635,527,637,
046,272,063,671,160,207,767,723,808,791,455,365,462,703,620,622,059,070,987,
860,984,152,961,648,822,398,837,097,022,105,763,360,869,624,445,644,945,534,
308,506,062,739,878,329,963,319,227,606,329,731,422,840,758,372,674,973,211,
842,216,073,725,722,577,532,356,932,012,945,461,734,802,384,727,896,915,511,
385,965,459,419,649,105,070,596,951,150,218,322,833,585,159,241,883,016,535,
177,059,909,395,664,419,918,912,785,285,221,277,068,467,764,380,116,724,964,
564,723,490,592,821,442,218,750,831,334,674,129,265,729,451,719,913,680,038,
643,227,846,675,030,699,571,395,504,048,341,127,999,236,036,930,997,395,724,
377,032,730,215,493,454,022,539,152,856,278,194,043,987,429,175,704,406,148,
053,768,967,977,747,852,911,444,747,758,261,018,343,558,330,671,079,948,614,
788,807,238,406,579,471,810,452,777,609,838,847,559,158,787,929,873,902,305,
911,469,381,452,004,839,022,478,211,098,097,946,892,165,463,671,716,194,102,
797,866,718,201,821,447,692,861,563,355,317,006,695,470,457,590,244,845,600,
963,515,553,846,338,475,827,980,469,463,193,773,478,744,505,869,770,340,203,
434,242,222,343,506,290,626,119,398,578,665,613,033,337,081,013,798,842,768,
702,940,932,851,750,809,796,889,916,830,739,113,583,934,351,365,637,800,756,
773,373,829,223,716,202,144,531,683,428,287,541,763,844,859,990,944,219,936,
552,610,502,368,019,825,108,528,363,159,087,907,686,506,777,097,482,691,523,
318,594,465,146,574,797,430,439,124,960,205,445,752,755,729,127,392,101,784,
291,030,340,160,842,331,963,363,630,097,741,428,688,947,195,189,404,491,412,
101,144,076,493,670,820,492,707,539,534,471,239,857,489,304,886,897,152,340,
804,126,976,206,131,461,189,882,702,505,267,543,191,002,091,757,142,166,701,
588,455,938,995,161,262,392,105,747,376,097,000,816,923,654,657,864,620,893,
022,951,584,777,890,592,252,932,809,379,358,825,893,713,590,805,105,851,038,
609,382,452,790,475,058,164,636,977,908,112,960,105,169,435,946,598,651,453,
468,288,352,482,275,448,154,620,810,447,454,638,034,409,791,692,125,014,855,
518,616,823,808,737,131,759,268,849,860,724,289,269,614,706,913,639,942,240,
456,482,391,104,732,905,029,696,584,701,975,888,717,338,835,024,595,888,776,
975,371,521,671,729,017,539,191,379,353,890,099,416,227,690,557,186,253,683,
784,906,644,087,780,171,183,085,595,376,590,265,743,671,770,729,111,808,653,
046,026,859,307,524,694,633,110,084,045,607,665,731,504,340,151,647,364,228,
950,318,221,314,272,457,387,046,060,989,127,283,820,336,404,926,033,210,606,
567,579,864,282,835,642,891,486,803,850,785,351,255,961,112,333,675,356,243,
390,122,472,206,915,878,963,103,241,716,361,206,223,810,975,808,954,551,515,
241,706,493,787,025,516,005,738,979,651,715,636,441,500,485,412,686,517,161,
441,431,393,246,833,923,376,500,357,660,919,389,458,575,264,628,917,367,993,
023,288,009,323,468,766,726,408,464,053,757,830,687,828,189,222,937,920,567,
150,985,116,435,358,815,218,503,003,917,098,666,272,428,947,825,098,036,979,
369,354,866,514,749,661,632,509,106,104,600,905,321,326,791,560,598,266,851,
281,552,165,579,010,852,113,276,583,627,183,382,995,680,158,916,726,704,772,
122,625,275,226,861,090,767,979,967,850,040,177,430,252,457,197,335,482,198,
581,335,487,960,261,845,245,322,535,461,281,429,878,556,302,770,826,381,353,
309,623,512,552,996,754,482,936,642,830,729,896,417,693,724,180,226,997,471,
979,195,871,718,109,757,681,746,581,839,499,084,800,928,738,073,205,013,761,
610,063,016,800,192,507,963,856,170,423,070,518,895,890,583,454,347,602,548,
620,098,679,559,960,114,111,442,673,148,097,675,955,973,581,162,420,802,583,
097,586,502,525,498,358,374,290,377,247,613,085,754,801,142,572,274,448,412,
267,154,999,602,242,321,252,440,947,870,051,749,974,317,721,834,806,976,339,
799,738,671,854,611,615,238,194,551,619,551,950,927,746,203,818,183,933,243,
275,105,651,325,585,478,589,509,222,887,461,848,954,646,073,766,050,046,653,
377,756,898,548,207,855,216,809,360,850,835,924,122,085,324,286,304,030,314,
075,368,948,207,988,327,217,825,013,931,697,931,974,928,371,238,833,218,975,
897,366,582,427,980,461,246,181,493,610,488,262,749,370,356,353,472,093,203,
963,435,839,704,434,994,122,059,867,997,316,623,601,819,096,650,534,296,583,
575,127,657,164,366,201,541,257,393,927,056,732,592,474,579,635,053,020,101,
891,259,112,454,565,413,977,858,782,554,841,527,794,501,659,041,417,067,807,
661,538,951,810,135,341,259,719,096,079,462,046,517,665,291,916,100,502,314,
102,925,493,998,277,527,835,048,251,733,236,300,909,722,775,620,394,855,207,
720,197,518,390,121,230,446,374,454,472,711,595,908,919,571,374,586,811,200,
538,872,946,432,203,723,289,671,861,908,516,147,924,210,185,883,461,383,528,
423,407,628,257,049,367,621,839,439,048,274,217,542,214,157,544,406,748,241,
218,904,742,767,161,754,083,655,016,886,818,995,852,115,852,638,798,486,365,
509,553,165,412,978,415,525,142,206,471,346,432,651,693,796,287,824,906,935,
053,039,938,045,216,796,494,378,194,739,553,404,514,760,376,942,043,459,867,
826,647,184,703,102,040,174,428,282,868,686,237,708,108,189,340,714,413,649,
830,190,242,035,012,686,480,169,480,784,547,438,787,860,503,055,236,173,648,
390,656,897,963,183,278,805,237,912,371,073,345,936,270,058,511,685,579,524,
939,621,971,553,205,796,439,043,352,267,074,364,795,611,446,610,558,831,783,
669,013,699,571,802,452,432,473,067,472,064,647,713,048,867,735,348,709,459,
949,992,122,037,110,137,613,111,866,281,240,685,454,452,760,421,629,495,861,
859,405,680,911,497,075,835,851,617,786,222,286,205,881,639,515,157,309,630,
885,136,553,756,948,554,846,225,222,191,608,237,190,186,060,546,895,404,943,
729,611,517,270,361,472,069,906,150,272,950,759,203,841,849,369,891,209,735,
121,629,310,862,054,809,479,289,953,982,618,497,625,447,390,400,364,467,697,
133,732,804,417,557,949,717,201,915,614,708,517,544,703,159,891,055,386,367,
589,371,205,468,486,005,083,369,483,935,822,038,093,524,797,235,778,574,682,
310,504,053,991,725,969,888,286,259,069,248,555,921,893,117,205,551,681,027,
966,304,050,038,358,088,701,204,274,476,457,695,838,589,037,288,679,899,426,
511,945,553,755,712,273,405,637,244,006,025,603,988,387,671,965,665,974,145,
715,199,540,322,426,999,749,724,668,939,506,406,277,530,704,290,789,392,075,
730,976,645,907,841,399,968,883,561,258,519,201,422,229,561,732,346,727,862,
527,073,646,965,292,481,179,827,806,105,275,928,112,092,104,553,873,698,395,
815,561,446,093,456,905,001,349,849,728,715,574,394,506,497,564,092,603,841,
111,259,919,707,262,876,208,916,454,758,305,734,432,620,371,536,700,780,258,
144,127,753,722,343,313,006,397,569,217,961,456,368,699,255,761,175,865,316,
762,381,494,267,706,516,345,419,021,523,147,326,422,857,648,797,573,408,997,
464,946,705,665,171,781,434,884,816,849,948,671,958,357,885,548,295,051,009,
600,542,065,456,018,671,947,835,437,692,057,957,354,086,210,377,249,010,589,
551,362,479,525,443,221,741,302,638,159,314,890,791,309,351,722,647,982,804,
484,050,822,338,386,192,291,990,060,942,775,654,401,760,799,934,683,259,225,
374,642,557,357,717,038,947,996,054,025,207,988,581,841,430,954,773,458,181,
104,447,016,703,137,188,721,099,531,452,818,837,498,957,389,254,920,260,247,
576,162,001,326,509,872,063,973,561,708,908,383,210,290,500,614,485,921,971,
458,779,151,595,773,447,663,765,232,002,983,188,523,690,304,511,060,623,705,
476,076,965,483,865,168,490,311,535,735,956,488,782,918,616,987,841,598,245,
809,053,749,097,128,759,891,873,856,817,504,349,834,500,580,304,868,849,612,
253,384,242,190,006,054,671,557,297,105,990,275,245,387,639,306,097,309,371,
141,038,359,624,093,081,205,299,817,318,948,550,660,399,080,332,677,206,102,
868,583,563,452,665,130,029,330,848,294,221,205,996,655,711,822,168,385,455,
825,152,736,605,486,786,041,218,881,281,740,245,610,985,647,696,376,154,320,
887,636,933,214,573,242,788,551,876,711,677,033,875,183,878,640,091,987,124,
485,246,704,667,659,271,246,052,164,391,988,707,092,851,511,301,315,239,890,
009,453,247,130,990,327,836,769,671,435,528,608,682,706,665,994,061,460,787,
577,271,375,492,807,667,578,433,327,784,797,317,749,371,095,432,080,167,407,
668,486,667,609,176,007,485,947,398,214,093,615,990,742,501,585,566,671,688,
648,564,913,774,619,734,334,382,449,484,337,270,526,437,320,189,208,646,496,
873,749,085,810,983,422,411,114,262,392,472,820,842,638,842,168,745,781,931,
989,789,479,908,222,096,244,851,553,498,913,111,099,509,533,517,733,723,602,
337,456,063,915,665,352,445,341,100,709,252,207,109,372,526,189,971,483,867,
657,339,642,388,767,920,746,489,472,143,212,212,636,651,357,947,601,458,839,
605,042,959,488,860,259,488,279,652,964,638,370,638,045,118,914,575,226,795,
008,486,168,508,861,350,495,178,563,057,928,313,363,449,793,200,802,487,642,
741,795,447,950,802,925,575,365,533,549,740,124,811,675,258,471,685,816,370,
777,749,803,424,155,598,532,988,666,016,749,688,539,793,938,329,866,055,798,
424,055,877,765,070,007,647,963,760,748,010,248,000,477,124,808,612,121,376,
446,887,740,684,691,563,397,716,862,853,128,942,258,290,814,180,836,915,132,
370,623,365,028,164,244,700,631,920,305,612,626,961,404,911,990,026,549,134,
716,741,558,747,374,950,637,287,877,537,096,292,214,310,796,751,152,083,166,
140,023,969,732,562,943,694,129,393,061,052,596,482,679,837,267,147,379,975,
901,169,398,221,532,024,076,481,042,675,049,309,881,647,040,155,948,197,196,
493,856,887,298,214,139,106,031,367,799,771,315,826,486,291,892,278,036,428,
956,509,771,762,785,234,661,444,927,142,767,829,488,056,789,644,707,137,761,
608,561,113,440,765,470,974,505,848,426,948,899,705,490,071,602,705,035,797,
843,022,030,844,122,832,316,763,292,566,841,565,066,907,703,507,790,985,946,
430,364,607,036,991,052,935,119,472,075,925,241,693,753,193,769,760,811,213,
161,780,359,760,407,640,997,404,053,008,394,040,696,295,604,007,581,090,875,
272,699,806,896,264,312,720,712,058,953,268,968,622,498,228,573,409,686,031,
521,845,961,580,573,696,312,372,485,343,757,100,160,005,294,835,013,689,629,
519,770,486,369,574,753,006,223,155,973,740,167,192,940,665,743,705,373,238,
607,383,727,952,346,021,932,595,076,518,187,616,774,193,159,143,214,865,182,
597,823,369,346,143,196,305,491,557,388,598,078,040,840,577,044,529,711,928,
930,756,493,904,235,935,487,794,518,112,995,244,400,808,672,546,901,948,736,
246,338,555,700,640,185,703,303,465,938,469,181,668,311,582,968,365,514,549,
354,069,985,315,915,349,345,936,317,136,670,152,923,286,897,059,573,350,617,
492,719,751,023,815,517,706,076,118,964,922,770,017,838,558,628,435,786,691,
339,156,887,497,624,760,414,004,645,494,439,674,194,448,971,314,247,572,102,
186,841,901,780,456,829,478,487,114,972,446,725,062,663,165,790,100,658,071,
537,878,147,669,534,257,606,731,960,833,109,414,353,976,823,837,586,442,494,
765,210,791,698,405,192,085,209,074,878,497,000,306,229,599,894,414,522,411,
129,755,657,304,626,492,298,402,292,522,849,792,603,766,148,534,990,863,826,
973,238,955,380,911,805,818,459,862,730,028,371,603,761,548,490,630,683,771,
540,328,433,371,591,270,425,963,023,115,092,083,440,861,047,967,672,228,616,
671,324,333,520,346,144,525,037,862,239,503,183,363,196,317,168,269,220,640,
004,337,345,635,280,480,249,791,369,192,492,389,960,079,751,622,200,870,589,
999,034,192,019,030,070,251,486,097,290,652,502,242,495,821,641,238,102,614,
623,728,915,582,241,439,209,586,997,637,950,463,720,350,358,422,783,019,458,
786,435,673,558,758,867,554,560,237,254,850,424,438,586,714,138,428,514,966,
004,495,292,940,352,413,815,517,233,457,549,880,848,693,446,526,745,078,936,
513,968,643,621,763,145,253,555,230,163,380,543,624,626,891,182,185,119,083,
291,236,679,329,423,966,384,100,763,970,707,547,401,491,606,317,214,245,272,
847,641,845,422,161,981,814,004,691,897,040,555,652,183,712,446,950,249,797,
977,342,227,479,536,665,873,359,399,454,508,981,709,221,866,740,070,842,378,
221,853,148,964,041,374,737,828,814,045,226,814,062,015,494,218,918,795,442,
752,103,368,343,644,433,255,289,065,050,964,432,005,545,455,953,532,617,328,
836,360,632,226,624,094,592,604,571,601,976,086,103,586,215,060,074,097,851,
871,128,491,042,491,735,778,299,687,740,147,619,651,540,947,628,551,294,017,
433,405,450,570,728,963,062,999,583,133,085,910,773,783,938,132,032,318,303,
448,147,275,642,999,557,711,286,098,992,374,626,491,264,908,263,611,390,866,
252,507,299,357,842,584,316,083,618,651,192,121,633,967,665,873,669,626,755,
763,410,131,464,445,461,624,639,640,106,989,809,455,351,346,262,085,410,964,
793,832,894,784,201,373,888,990,432,245,638,913,183,399,681,238,614,207,078,
407,223,326,797,323,042,094,864,090,927,994,363,675,314,603,327,855,163,040,
912,120,725,903,435,374,298,913,756,709,841,527,237,470,994,676,101,278,907,
972,004,529,232,119,147,884,981,999,865,930,198,605,603,356,584,547,821,208,
595,694,272,998,387,731,803,014,658,645,008,599,467,381,560,432,721,175,362,
431,781,135,283,012,063,112,295,871,219,789,917,174,226,359,147,099,418,871,
295,778,491,063,282,902,510,726,186,700,744,814,311,387,930,276,776,994,688,
928,070,862,591,159,225,996,222,181,442,236,848,222,437,661,378,698,820,182,
326,734,075,410,665,001,789,155,012,332,795,104,036,103,608,478,869,114,637,
550,617,286,733,510,866,562,990,450,326,565,006,391,214,438,096,600,869,145,
385,373,018,068,639,823,902,264,726,430,104,753,853,214,237,690,244,660,199,
112,419,316,728,276,931,326,861,843,892,578,622,161,180,066,157,511,412,534,
025,612,226,964,117,058,328,981,575,181,374,721,468,514,337,623,100,159,960,
659,049,196,798,773,179,284,194,464,616,924,670,126,831,128,242,346,110,999,
088,741,643,728,109,423,907,775,045,997,349,079,856,184,734,247,660,616,945,
140,540,472,443,528,272,140,762,209,395,907,711,238,182,782,199,085,529,259,
629,609,062,089,808,246,609,829,521,107,631,520,082,680,024,528,665,208,102,
517,034,939,598,930,161,545,923,915,331,406,922,044,197,695,283,183,866,761,
331,765,630,901,923,267,025,264,805,266,528,134,275,730,502,876,026,456,696,
603,548,858,267,538,069,739,126,455,244,563,877,386,138,992,137,949,121,522,
180,485,212,179,889,002,547,990,429,316,832,804,132,260,688,201,860,429,948,
465,557,510,557,069,766,003,469,116,488,300,148,634,526,878,608,893,261,607,
465,494,789,482,614,721,838,898,430,970,746,816,044,418,392,021,661,983,909,
338,669,321,072,867,297,019,560,516,487,365,275,632,979,137,650,343,329,576,
344,230,897,390,512,404,618,737,950,652,237,933,052,456,955,203,810,730,760,
329,627,480,303,896,308,167,489,004,135,422,238,980,795,301,467,518,460,708,
207,766,621,272,332,882,638,049,693,963,321,481,641,934,336,237,336,077,019,
762,577,939,907,266,446,447,549,422,892,937,046,529,564,644,760,514,583,875,
322,699,175,504,218,241,611,362,051,751,543,667,776,118,607,269,451,790,667,
638,093,088,569,494,390,958,725,558,441,096,718,529,998,248,402,242,685,827,
260,257,024,127,263,188,994,331,418,446,629,728,015,184,934,359,119,834,872,
292,103,479,157,547,263,730,157,098,636,891,505,475,703,296,022,867,882,450,
169,001,616,518,010,578,233,145,241,401,537,010,204,840,748,144,256,510,816,
448,486,741,307,689,045,659,222,083,051,131,368,018,352,531,636,685,710,158,
112,158,626,636,713,123,399,235,475,038,888,685,380,488,680,547,303,891,580,
164,941,933,373,487,200,812,423,841,935,262,106,594,703,786,450,980,565,486,
582,909,677,531,816,313,503,425,208,708,406,219,250,336,593,598,331,331,823,
143,612,206,556,009,790,171,838,379,043,627,774,131,277,341,911,343,621,832,
462,406,003,865,610,293,981,124,747,384,819,966,412,066,037,743,448,978,769,
918,171,445,123,382,835,680,101,680,530,425,038,186,241,879,585,555,006,820,
208,711,163,917,682,249,046,959,126,504,534,601,888,494,337,292,519,288,197,
669,806,185,738,117,315,008,303,054,330,837,637,702,168,479,665,145,673,699,
269,310,688,209,821,352,017,344,775,240,502,154,538,825,569,618,294,906,642,
274,727,045,195,447,300,226,294,126,413,321,257,039,003,273,865,668,797,712,
806,562,041,325,920,693,712,321,082,366,657,343,641,351,008,333,607,147,889,
287,309,602,841,066,628,215,823,733,692,371,508,395,457,319,102,483,241,693,
403,303,953,927,632,998,795,437,105,757,243,771,124,560,683,203,316,921,857,
049,294,321,799,008,699,700,992,486,382,262,945,993,427,591,919,796,392,378,
588,201,119,513,644,513,731,301,071,565,431,313,632,349,521,758,362,852,661,
767,098,958,065,429,550,963,541,164,496,260,599,368,647,520,668,770,637,543,
422,139,557,356,227,936,084,632,010,878,644,688,469,935,867,192,452,302,919,
341,335,773,343,119,706,859,710,210,276,795,283,280,049,005,791,878,591,056,
514,797,294,481,310,247,882,274,908,198,778,235,484,693,156,715,365,281,614,
991,421,455,383,361,410,958,735,397,902,312,503,180,749,688,526,320,562,870,
608,357,756,251,147,686,975,992,032,306,121,257,245,497,038,302,768,855,571,
151,745,625,488,861,745,406,592,306,729,111,422,183,091,520,168,584,395,593,
717,975,545,968,913,833,358,641,798,400,943,722,417,135,995,774,646,574,453,
311,585,978,723,235,644,657,096,159,221,036,473,098,100,415,085,544,162,313,
475,930,819,345,586,088,058,705,687,328,579,011,520,332,095,660,859,880,140,
761,610,803,830,278,147,646,592,607,529,796,785,046,448,551,599,158,558,897,
667,837,718,494,602,903,892,479,512,480,648,198,932,523,686,648,166,494,315,
146,113,087,291,290,459,381,323,724,796,498,000,840,212,596,102,755,203,215,
171,711,281,215,501,228,153,338,592,320,984,213,078,604,545,376,171,030,290,
807,612,373,348,531,582,115,562,718,008,808,611,252,298,724,953,913,039,849,
771,212,361,988,023,618,971,957,170,563,576,685,594,157,890,723,615,844,180,
374,766,121,238,399,049,077,152,860,073,433,548,721,995,973,776,661,567,288,
729,295,706,494,787,159,604,259,682,791,895,854,826,413,056,146,763,693,780,
663,965,032,541,956,519,379,405,618,521,795,955,059,585,659,806,431,579,063,
522,776,158,394,079,461,996,699,710,352,306,455,762,443,952,669,454,364,994,
256,773,702,883,636,724,575,492,440,877,104,047,497,871,151,931,440,039,164,
541,822,663,998,702,204,186,203,731,894,604,865,672,696,428,131,537,313,738,
874,680,004,954,962,165,554,455,080,145,574,205,126,443,182,420,152,698,640,
029,918,946,354,861,366,412,543,973,608,793,521,035,898,230,890,965,069,125,
663,694,084,353,650,395,273,199,464,387,169,455,849,616,896,796,319,970,663,
782,806,749,012,774,785,991,782,943,124,434,147,975,447,261,541,894,157,400,
690,564,564,436,863,351,108,947,126,061,098,794,568,451,768,980,645,554,651,
210,855,374,121,356,333,900,867,578,345,401,030,863,003,655,828,944,370,044,
819,130,921,356,793,839,769,839,409,467,414,166,744,935,908,636,172,269,098,
812,351,426,906,404,499,300,832,585,553,259,495,268,742,725,392,730,065,771,
449,005,173,341,299,641,934,838,517,252,103,765,822,346,290,013,893,292,326,
565,579,073,171,884,607,359,358,479,592,089,922,094,757,559,294,030,839,741,
273,669,724,509,139,032,966,284,409,413,915,876,328,874,607,052,682,374,421,
959,747,323,244,984,024,444,400,194,714,287,046,083,485,689,737,212,933,748,
286,199,200,881,646,693,668,787,315,444,826,155,868,831,849,797,570,931,973,
776,591,237,760,326,479,477,706,532,647,352,799,745,327,497,312,602,922,996,
177,810,728,535,187,584,470,136,786,336,024,219,134,162,502,913,480,618,863,
107,962,082,863,925,433,928,713,805,157,112,756,685,517,922,654,670,727,980,
957,728,457,205,728,849,328,554,634,938,338,486,344,561,397,110,207,678,846,
841,272,452,291,431,824,801,501,130,257,108,464,309,463,554,412,277,761,383,
602,332,269,921,589,091,340,318,868,376,687,904,559,470,233,193,375,138,558,
827,572,994,440,695,330,198,353,338,679,330,391,498,561,235,495,700,424,495,
659,158,335,877,315,959,080,971,017,875,092,299,589,183,439,408,439,240,077,
433,559,534,310,762,174,189,583,049,565,026,770,303,142,491,880,062,412,503,
106,559,542,172,022,290,478,697,597,176,098,419,572,729,089,237,742,565,960,
511,715,142,780,042,848,742,195,969,554,703,346,244,743,444,349,538,933,593,
789,455,017,964,846,793,459,075,546,366,718,817,969,839,147,466,629,469,419,
011,315,061,844,197,346,342,574,327,804,829,374,846,901,458,346,824,231,436,
359,671,167,381,812,218,108,886,336,785,188,772,141,002,396,670,669,768,661,
491,692,121,449,251,940,819,613,878,406,852,376,525,557,450,847,051,931,435,
136,943,738,998,554,845,748,749,270,348,643,629,772,477,986,217,713,337,128,
265,455,621,152,139,841,989,424,718,091,330,085,779,212,324,398,231,582,535,
410,170,551,944,889,477,611,544,656,374,174,487,471,423,669,647,808,330,529,
705,340,269,097,234,969,906,903,260,317,906,557,215,740,369,503,235,304,354,
751,035,050,793,534,881,614,675,656,721,801,359,051,554,743,063,904,307,680,
625,178,086,831,419,756,478,279,739,825,946,585,683,423,977,319,335,759,623,
031,639,349,065,575,459,401,912,034,396,227,683,783,431,869,458,722,531,276,
920,689,312,800,082,123,459,621,201,237,338,916,674,705,436,253,143,235,544,
497,164,608,959,013,703,160,698,418,439,863,217,304,240,913,831,206,215,820,
825,282,649,020,666,174,341,159,080,263,838,136,017,601,842,108,146,240,067,
456,782,881,895,014,929,145,440,045,007,475,444,825,352,768,293,265,526,404,
086,918,247,390,392,893,833,668,219,623,177,414,524,083,873,474,388,846,511,
509,389,169,740,475,485,718,076,138,981,323,677,928,593,997,438,299,661,810,
177,153,845,434,787,680,748,742,966,557,553,274,031,868,176,281,719,608,167,
445,937,826,736,451,124,343,662,305,345,524,480,103,246,466,744,491,520,280,
363,709,547,888,768,082,564,390,464,811,214,293,921,716,600,972,321,564,443,
072,907,955,431,216,254,329,130,613,017,523,399,857,510,072,804,663,400,740,
203,411,473,461,232,632,035,178,527,012,677,373,291,211,842,967,406,663,519,
781,574,063,895,661,964,309,154,873,056,683,668,557,044,328,233,899,028,678,
357,234,387,261,172,649,366,199,951,308,912,838,306,936,582,474,862,443,199,
178,503,722,822,430,941,233,614,836,322,179,197,437,350,215,738,995,453,722,
075,160,839,571,795,642,762,217,713,702,796,666,006,410,354,898,898,391,688,
236,191,225,282,527,213,496,993,833,908,088,073,711,083,325,684,172,217,160,
958,426,438,837,666,563,182,328,311,794,584,175,775,240,883,269,238,654,668,
193,666,878,812,788,552,301,664,161,449,743,213,274,372,508,163,016,353,455,
498,360,670,045,945,887,672,398,688,764,224,501,678,116,650,081,173,962,541,
808,134,483,263,300,954,076,696,035,837,648,468,219,281,791,256,554,358,387,
996,481,982,897,720,296,715,750,577,413,543,261,358,695,220,840,346,626,933,
628,111,889,903,353,632,041,894,734,751,466,107,702,205,491,234,021,832,009,
035,916,088,080,189,810,704,237,573,650,217,881,754,050,590,102,989,434,541,
291,080,645,267,197,257,357,805,211,619,713,094,052,553,626,861,035,673,977,
218,660,456,463,349,294,345,579,304,605,573,236,998,445,619,749,362,009,445,
453,435,079,013,374,562,444,223,263,616,889,644,377,010,310,388,360,016,516,
868,148,110,427,896,074,931,413,361,997,984,945,791,723,734,000,321,873,435,
400,237,488,358,313,387,196,172,095,906,254,374,399,363,715,566,783,493,168,
853,230,177,397,673,340,852,346,638,665,734,558,841,472,232,874,847,490,679,
642,844,480,349,287,681,668,064,360,701,238,744,649,614,870,367,316,200,852,
553,444,484,707,661,575,613,882,493,103,972,708,276,000,678,342,193,585,613,
878,255,869,656,556,273,626,916,522,787,828,426,009,180,521,595,240,916,163,
119,219,113,056,787,810,896,711,345,788,807,313,638,418,446,598,847,338,797,
265,337,011,673,318,828,611,034,166,582,264,504,839,609,254,599,993,457,220,
870,981,338,282,906,889,706,793,895,492,178,966,246,982,033,644,544,297,610,
280,257,329,338,990,930,558,750,610,162,019,055,229,906,682,327,081,378,362,
305,500,381,640,097,414,844,365,238,945,030,822,436,400,491,816,579,503,360,
131,274,428,943,219,429,461,994,110,983,922,517,851,948,167,276,449,183,864,
416,032,836,295,338,578,961,417,733,414,095,800,825,922,095,922,821,220,693,
771,073,034,322,529,479,149,927,722,490,943,606,252,096,019,131,058,463,863,
600,863,991,599,286,961,797,742,502,296,685,598,455,300,846,813,751,111,584,
767,780,030,617,078,622,842,781,789,587,098,562,884,598,107,653,425,832,491,
442,891,540,497,209,548,604,283,510,936,370,222,851,795,577,580,131,098,270,
320,269,949,845,522,368,471,681,034,849,611,712,704,017,035,189,372,180,089,
941,297,334,262,509,530,352,575,474,847,938,474,176,810,189,189,530,203,157,
621,194,099,256,814,370,089,745,697,557,782,651,621,049,805,254,237,999,071,
660,073,081,484,867,900,890,055,330,278,105,547,695,714,210,450,753,724,646,
837,311,047,574,471,390,871,210,484,128,825,375,970,012,711,078,121,768,140,
000,726,702,001,113,835,904,978,026,297,574,403,461,417,150,559,538,454,482,
243,068,722,745,108,574,916,687,279,139,459,273,510,114,093,860,388,183,189,
257,820,119,993,185,753,822,861,214,998,944,995,175,112,174,659,029,430,936,
211,759,049,551,405,864,197,705,719,815,852,969,510,627,365,324,753,638,778,
621,766,271,238,725,060,576,084,244,660,525,938,721,756,107,679,930,678,634,
729,494,261,640,237,894,320,995,852,360,645,523,657,391,168,093,962,960,385,
123,610,952,012,340,310,038,984,762,300,967,756,066,272,817,461,391,250,733,
409,273,966,439,921,468,068,024,521,713,044,616,308,937,861,226,331,547,798,
010,621,707,414,252,405,327,084,404,561,000,545,097,437,525,564,515,734,692,
312,356,401,880,615,833,970,390,096,776,816,936,111,390,561,192,308,786,297,
886,684,890,420,479,634,853,384,881,644,539,955,712,226,063,404,634,882,866,
969,532,603,218,651,319,861,985,577,380,899,415,319,109,959,757,477,975,279,
953,100,600,118,107,484,907,127,009,339,154,439,218,418,078,571,311,664,211,
556,820,039,452,050,035,258,417,064,525,457,334,419,430,206,528,175,067,674,
866,328,906,075,553,171,547,724,259,969,362,329,039,720,489,008,770,744,479,
106,937,316,932,294,878,908,487,681,511,780,859,445,041,261,257,410,539,724,
314,107,237,794,845,502,726,040,311,597,567,458,684,407,179,802,649,132,671,
999,594,890,411,331,980,699,959,769,689,789,688,157,601,395,943,517,215,561,
503,304,580,067,334,840,653,978,522,808,176,006,057,868,358,542,241,313,960,
986,147,669,301,901,801,884,009,469,367,995,385,452,750,455,097,482,246,653,
037,595,782,588,771,830,509,069,215,040,709,223,704,957,213,137,289,449,211,
147,400,088,151,635,612,453,254,690,961,199,311,726,656,648,460,833,288,903,
443,073,487,475,994,865,262,947,796,640,067,428,050,568,749,959,412,440,888,
032,571,404,402,290,065,939,507,287,244,558,922,095,015,647,447,444,084,674,
258,420,736,713,831,595,848,814,781,450,377,357,887,737,596,161,686,164,065,
455,786,892,225,474,793,665,698,300,234,480,477,405,260,561,044,590,201,143,
172,067,198,617,975,070,564,876,510,719,514,273,301,274,921,163,568,839,710,
679,155,064,312,084,229,806,474,240,332,119,234,806,928,919,234,427,564,233,
913,215,176,090,831,725,940,508,713,127,512,003,529,328,942,492,945,564,980,
613,314,562,436,978,260,952,799,648,799,241,924,234,611,951,234,020,143,345,
478,120,881,525,094,223,362,386,943,476,599,858,837,369,936,126,690,621,223,
448,757,788,920,019,633,130,807,807,775,420,600,378,374,760,660,971,370,015,
125,144,373,522,525,729,406,529,818,380,131,715,394,052,391,849,873,392,436,
818,250,384,845,189,504,013,641,424,321,278,895,306,129,398,420,955,647,733,
894,016,736,842,836,164,005,711,978,213,686,071,588,459,888,954,033,191,094,
712,913,294,150,625,008,717,527,742,767,317,452,847,473,247,307,989,711,810,
929,276,924,517,462,812,159,705,937,564,685,780,296,855,476,928,156,377,739,
681,862,224,016,897,488,909,550,880,024,480,253,777,293,233,816,476,041,896,
433,716,677,207,201,598,471,739,756,978,827,071,320,022,703,839,088,080,530,
568,301,990,262,484,150,380,452,727,886,658,608,465,132,294,001,555,171,748,
347,165,633,312,771,128,271,816,506,876,253,205,698,113,796,904,048,445,044,
928,033,885,782,163,280,883,110,719,509,550,404,133,657,379,894,473,581,677,
358,563,882,515,184,053,360,893,201,201,890,879,495,616,570,548,144,544,478,
076,416,060,565,227,060,922,280,329,924,879,936,503,553,007,612,438,994,374,
270,031,417,345,739,093,821,189,182,069,740,003,532,863,973,346,241,593,132,
165,521,173,861,775,135,744,083,708,783,026,974,712,725,087,861,794,422,466,
110,428,940,108,484,952,719,640,124,786,413,252,485,733,287,107,188,258,162,
298,645,529,826,423,578,778,640,047,794,902,362,363,434,024,322,501,354,864,
741,936,789,566,245,574,137,756,543,011,854,663,326,692,518,949,887,485,979,
221,764,761,183,922,865,119,357,693,454,405,087,002,143,469,975,276,517,543,
075,968,094,885,486,123,415,003,024,389,120,249,338,487,394,026,328,988,719,
029,734,558,593,152,277,500,116,172,565,319,439,521,804,490,083,930,078,853,
113,645,612,166,069,637,689,544,831,450,886,103,292,300,336,812,589,944,742,
411,720,896,306,765,064,260,761,281,549,177,476,427,596,857,283,687,944,506,
935,047,885,577,172,375,549,512,684,006,355,623,219,541,579,192,301,881,403,
857,049,316,895,760,064,641,984,411,038,921,570,968,790,076,150,184,861,146,
231,560,682,342,964,979,263,255,392,261,446,362,125,660,686,165,665,876,102,
933,732,352,455,742,239,009,051,403,077,071,896,747,211,387,368,999,847,828,
006,991,586,100,656,945,215,474,764,970,098,212,125,410,971,989,064,803,450,
652,689,097,185,695,078,642,373,065,093,491,982,330,491,879,740,228,943,440,
001,740,844,582,783,992,709,326,202,989,408,249,532,717,398,962,113,596,522,
538,481,968,932,265,385,824,113,957,378,155,332,085,945,931,117,214,950,124,
577,276,366,235,999,399,271,645,898,249,704,799,574,481,979,470,723,300,844,
532,121,150,043,377,962,831,601,580,429,135,112,132,252,144,995,573,733,660,
122,662,908,598,843,278,221,648,638,828,749,116,924,547,852,759,937,153,908,
066,379,593,639,923,435,682,859,157,953,708,437,319,817,430,220,793,910,559,
135,219,324,470,213,382,309,715,542,393,067,548,754,036,072,419,303,675,025,
815,482,207,004,051,434,778,140,540,087,008,319,272,326,477,205,186,980,258,
897,203,874,182,508,409,524,791,377,054,618,022,409,657,125,002,210,612,358,
850,775,218,913,658,529,678,430,510,751,657,018,242,425,863,902,376,239,528,
074,540,350,219,854,180,596,362,370,217,949,586,897,835,536,529,984,250,101,
833,664,192,834,646,619,933,130,965,093,158,901,551,148,086,259,122,574,816,
906,471,769,379,738,925,484,126,310,155,940,875,937,560,375,297,388,542,095,
201,850,331,790,508,939,104,706,058,441,638,546,158,112,824,685,763,954,419,
711,241,347,043,850,350,490,491,022,742,485,086,184,292,042,114,493,052,585,
921,255,558,477,730,975,645,061,522,826,681,765,760,279,270,518,035,157,485,
029,416,670,438,882,232,501,943,459,746,579,092,243,999,787,967,833,489,520,
952,264,484,054,393,781,112,677,167,036,714,412,549,265,436,128,878,237,015,
993,522,953,893,436,719,621,531,954,070,866,840,237,795,678,298,721,586,839,
867,618,112,267,667,529,049,280,287,578,220,006,543,311,574,920,221,645,055,
971,224,619,916,226,084,310,803,255,239,337,312,890,002,703,075,798,411,536,
080,266,679,944,286,763,533,442,112,020,767,033,568,137,496,211,275,924,592,
341,808,449,588,635,570,645,471,813,694,811,134,009,682,524,600,530,915,283,
010,049,830,559,997,467,988,741,647,688,078,986,770,660,254,682,771,345,131,
670,892,221,435,982,800,477,685,941,880,151,944,663,300,114,348,453,636,923,
740,460,994,909,990,580,986,415,668,376,112,093,601,157,198,892,074,941,306,
618,202,362,182,428,933,446,112,750,601,042,613,956,809,084,254,025,043,539,
696,209,196,097,221,121,630,607,429,660,361,487,354,500,593,152,196,177,895,
367,336,561,127,110,727,801,318,485,380,710,851,025,759,322,285,008,044,108,
795,471,566,459,250,137,738,435,974,648,323,735,443,478,627,438,746,497,475,
936,845,897,191,281,843,255,649,311,209,896,779,113,212,147,649,201,673,723,
275,597,211,744,143,122,158,299,662,126,030,302,721,847,953,478,541,956,728,
747,266,184,514,858,529,274,677,617,179,531,049,295,467,005,088,283,916,211,
012,652,041,854,243,316,690,142,156,578,557,227,398,890,784,833,606,298,452,
213,264,949,066,422,656,282,696,747,067,382,918,039,510,227,063,513,289,135,
967,649,103,051,723,121,465,710,687,903,758,037,257,601,885,037,286,068,739,
486,148,284,945,895,758,335,062,262,899,610,537,777,917,808,522,022,127,288,
622,256,090,082,894,408,772,962,822,104,345,720,966,962,106,391,407,482,943,
944,731,744,918,556,231,936,453,475,366,049,173,429,968,115,840,369,305,033,
921,135,254,638,659,507,654,247,176,683,310,746,007,093,737,432,538,148,847,
014,787,257,800,675,804,146,711,762,772,020,105,229,118,296,381,638,411,134,
502,948,797,936,941,613,800,915,533,053,298,074,709,310,268,035,694,118,846,
011,803,132,182,617,481,162,384,115,025,167,051,601,347,945,581,163,393,930,
967,351,212,935,477,553,239,518,344,936,381,169,119,334,521,314,783,434,225,
706,772,174,240,946,048,584,466,744,017,035,973,380,987,852,467,314,803,605,
287,497,985,349,894,847,758,647,670,333,723,238,006,852,303,338,985,225,860,
230,763,586,773,949,207,565,782,710,222,514,975,648,655,945,292,237,564,119,
666,942,717,877,374,690,071,239,038,973,468,545,640,466,290,693,508,627,572,
032,348,603,365,297,191,632,100,831,259,874,115,677,927,412,404,589,564,216,
671,627,652,189,382,155,990,791,499,961,260,316,381,739,155,306,715,379,931,
929,742,263,226,580,711,514,701,564,146,924,825,933,751,192,610,537,030,562,
898,726,067,985,567,358,582,538,976,690,611,293,955,547,527,205,487,194,832,
525,027,970,821,944,675,047,590,975,588,183,841,647,719,143,913,294,399,441,
265,636,955,197,486,963,511,053,375,765,923,255,938,883,022,313,800,268,961,
185,950,181,183,088,834,996,207,954,441,720,955,369,391,043,212,526,019,103,
195,959,501,423,005,925,885,217,538,950,026,518,600,363,022,565,253,452,303,
989,575,480,323,713,518,699,818,487,121,115,712,046,225,286,886,756,544,251,
828,920,860,209,169,106,144,902,754,948,889,492,184,006,623,254,641,564,060,
251,814,298,394,675,671,819,192,718,889,144,987,512,981,580,928,975,113,927,
721,565,365,199,771,267,724,420,503,898,423,499,414,152,583,643,533,517,773,
190,148,211,926,068,005,097,931,959,240,209,323,413,856,161,550,840,374,155,
361,198,074,121,338,538,529,424,639,395,745,791,728,227,507,558,349,661,283,
481,164,689,553,994,493,639,732,601,562,664,433,548,085,802,369,367,013,615,
674,233,775,397,736,528,055,081,581,134,293,600,105,650,830,775,258,138,811,
698,529,467,345,873,814,997,278,685,179,218,186,209,061,158,751,162,150,710,
900,821,455,656,999,329,391,196,361,101,329,775,396,733,517,028,749,132,340,
471,887,654,955,889,957,260,530,061,464,505,090,369,369,910,591,962,820,175,
742,794,983,773,253,598,719,539,591,034,265,301,948,581,641,583,656,360,779,
393,051,628,978,431,755,299,155,962,131,023,271,438,741,558,985,760,555,600,
264,190,293,945,611,316,596,137,954,050,331,624,777,202,425,139,638,477,873,
593,063,403,844,969,363,569,501,600,477,879,781,285,861,248,296,671,545,651,
746,783,270,748,272,539,550,283,230,943,575,118,741,093,238,978,636,017,807,
842,587,054,506,744,592,729,499,847,480,401,213,483,010,099,098,202,450,356,
086,342,203,628,258,357,851,695,375,307,100,681,935,390,296,230,052,490,907,
347,993,288,598,853,161,423,834,040,151,765,031,158,631,798,257,795,171,869,
273,143,605,928,930,872,091,820,532,508,786,892,952,076,363,686,391,132,416,
638,479,250,731,553,758,167,709,381,143,604,065,580,451,178,315,851,317,135,
754,760,734,030,932,557,049,097,535,213,808,551,379,436,336,902,264,680,347,
051,729,315,826,000,450,371,593,239,975,775,322,540,146,754,751,634,879,173,
431,170,380,071,467,869,890,768,950,784,041,618,020,361,588,033,829,543,948,
392,059,915,072,694,703,543,333,540,410,506,752,526,004,633,418,584,019,603,
622,015,216,558,104,164,078,357,759,605,434,654,478,471,844,583,528,100,157,
320,020,081,756,165,865,966,266,712,662,854,033,535,991,209,007,824,966,692,
071,834,477,260,003,171,598,179,067,576,719,583,050,098,881,721,342,819,540,
201,832,370,673,905,041,923,103,718,640,145,595,252,389,184,977,642,341,932,
425,126,001,494,874,886,010,002,112,256,504,193,249,830,305,828,628,608,250,
600,882,377,442,621,226,296,867,640,062,122,311,894,943,910,419,069,579,244,
053,512,217,012,530,256,734,285,665,655,288,971,559,385,500,590,452,431,907,
560,723,883,848,705,087,079,478,351,019,658,688,973,833,983,383,291,794,335,
481,132,400,691,666,727,299,453,770,465,219,232,926,829,116,832,149,473,704,
537,111,506,547,851,235,543,839,541,065,970,465,010,503,588,353,037,212,903,
542,156,752,558,331,530,448,751,428,377,077,562,196,989,581,692,505,480,011,
020,879,676,233,366,499,548,797,258,711,186,411,713,754,521,397,340,348,959,
810,200,829,895,134,635,334,402,095,221,640,458,046,572,738,758,856,288,518,
918,675,479,749,766,206,784,898,043,429,015,330,921,560,881,180,357,660,990,
129,355,328,398,484,755,675,171,864,080,392,796,252,991,327,135,953,266,250,
429,223,411,670,861,010,849,443,558,956,987,611,845,279,931,785,350,945,656,
647,423,746,606,544,575,822,294,955,066,027,864,923,704,917,724,026,160,405,
201,429,748,976,864,699,638,514,086,697,900,629,888,045,284,490,712,991,355,
097,801,276,675,722,362,047,858,291,320,456,560,167,490,087,383,784,028,650,
106,434,909,515,084,807,791,421,972,778,077,868,923,842,941,825,040,298,888,
915,335,527,235,741,116,313,268,600,112,544,890,802,944,788,183,558,474,766,
506,291,037,822,449,815,528,663,329,859,264,491,035,635,456,295,437,201,014,
158,424,197,689,070,546,868,289,807,931,449,956,150,212,408,558,002,788,018,
620,138,583,215,586,381,466,446,331,319,181,230,661,873,955,248,587,003,811,
827,922,594,648,478,679,276,897,300,388,547,970,905,658,667,309,164,966,280,
793,819,757,058,899,505,116,466,755,198,784,189,546,885,503,851,030,083,390,
047,194,628,966,805,727,129,748,734,228,789,387,293,130,682,192,047,899,119,
700,838,683,698,268,415,670,090,728,363,911,263,425,819,045,390,046,271,638,
035,681,551,726,917,730,683,095,918,749,875,591,932,297,843,270,816,609,117,
086,072,076,480,435,362,794,326,940,449,247,078,706,016,495,995,451,155,368,
934,496,970,278,352,713,179,307,024,668,435,324,577,254,603,266,658,852,326,
707,504,694,104,625,787,474,667,252,152,660,178,897,429,862,567,522,190,203,
939,288,053,761,236,860,321,909,476,610,189,913,686,096,452,705,912,002,584,
189,904,020,602,989,251,037,455,718,650,988,473,895,935,882,837,982,119,098,
794,403,997,117,317,146,970,014,998,710,253,539,348,703,605,335,912,453,124,
686,261,851,534,141,963,067,154,712,721,070,766,060,845,695,917,070,195,932,
041,663,872,750,942,409,188,990,046,371,116,091,329,967,243,463,830,379,180,
148,871,886,714,725,485,035,226,363,194,598,622,698,394,467,934,196,240,957,
948,484,130,367,832,707,625,213,481,154,232,219,655,557,529,520,790,011,452,
765,972,331,629,776,645,359,222,286,492,318,577,933,758,423,844,696,381,587,
333,804,358,189,444,554,041,624,860,774,284,038,323,998,747,339,265,742,067,
527,377,766,063,741,085,658,556,873,968,495,419,792,795,258,395,433,111,126,
655,384,445,592,700,749,731,008,408,729,937,911,020,703,561,829,984,437,970,
097,649,790,614,429,625,868,586,690,775,219,180,329,646,666,749,586,725,992,
771,184,251,434,690,637,322,368,094,478,390,104,589,849,152,676,902,320,412,
577,011,217,833,454,834,264,362,152,314,073,684,649,402,403,058,008,323,982,
457,098,711,863,426,920,295,976,329,042,947,919,595,236,533,407,427,666,762,
232,260,652,758,409,677,725,227,791,672,827,332,604,679,265,930,106,662,637,
382,342,559,435,431,407,086,630,888,569,932,640,661,499,380,750,431,691,514,
252,330,333,154,477,127,647,431,329,605,826,613,953,085,137,942,266,299,672,
957,237,904,259,452,636,159,449,118,558,438,843,141,283,731,247,250,042,199,
513,603,155,485,925,345,644,198,506,698,515,764,318,354,415,185,180,306,521,
379,177,793,405,039,756,587,250,776,540,483,966,067,434,105,117,473,790,666,
735,995,294,485,859,315,101,131,882,888,325,213,154,963,193,343,314,889,901,
276,303,548,082,525,305,716,081,161,572,671,866,688,023,647,295,336,727,692,
629,506,930,825,491,591,954,026,860,196,253,293,513,939,667,656,117,954,596,
473,033,493,451,964,821,327,968,002,375,920,513,494,797,462,787,662,381,361,
699,544,915,131,197,765,066,825,236,914,531,123,536,409,952,226,121,966,976,
249,488,106,046,767,318,713,846,088,957,983,851,650,356,843,223,875,118,403,
699,553,300,004,816,140,734,603,252,982,443,530,064,153,341,882,296,738,710,
720,235,958,644,706,721,131,532,922,255,193,600,956,090,965,340,663,526,919,
763,431,099,096,767,585,031,498,785,991,219,628,046,851,922,828,698,745,352,
049,899,529,695,091,208,840,098,962,508,383,990,347,139,849,140,726,099,330,
907,389,959,696,422,235,461,955,715,554,734,512,118,338,469,554,704,473,320,
076,735,192,118,662,689,052,937,682,355,877,954,235,829,913,124,096,871,582,
308,290,455,489,807,153,989,594,535,833,590,659,750,611,929,966,174,067,024,
479,586,654,739,464,175,187,754,780,535,355,805,595,931,152,046,806,417,711,
163,047,243,617,859,869,871,095,916,145,297,227,876,612,134,056,202,764,693,
397,428,608,456,325,383,062,951,145,842,851,669,061,732,592,989,767,800,293,
509,455,210,318,106,550,441,177,025,478,324,438,420,943,112,677,436,204,475,
218,697,385,142,525,805,628,913,131,657,663,691,546,424,710,786,987,420,223,
083,760,492,075,675,397,344,115,181,435,747,817,459,254,865,329,359,551,503,
718,315,266,688,966,093,792,040,737,074,026,852,260,168,588,066,764,723,776,
874,843,724,054,137,279,073,871,417,125,448,301,440,830,843,493,561,918,322,
032,635,588,340,955,693,091,481,097,546,824,453,323,617,630,521,806,641,244,
189,361,179,589,812,288,993,203,053,309,210,695,403,184,697,539,401,749,607,
920,549,831,793,504,292,182,461,197,074,783,375,879,015,993,859,804,189,839,
709,797,262,604,451,056,109,656,067,009,087,792,630,675,294,051,303,904,482,
460,205,641,871,675,252,402,404,628,284,108,706,824,462,786,994,655,048,934,
750,112,092,445,387,863,598,590,874,478,875,702,618,516,909,861,197,985,319,
413,897,748,319,036,987,707,774,204,377,051,878,440,922,728,780,100,365,445,
426,453,236,228,103,733,389,949,767,736,104,403,849,934,373,583,271,071,007,
218,053,491,284,005,007,417,488,945,441,646,215,396,236,721,569,751,899,013,
350,837,125,003,838,774,361,621,188,911,890,397,032,867,641,745,687,326,939,
749,144,165,627,149,632,941,741,348,830,042,013,470,064,186,799,747,737,105,
081,015,540,542,955,489,932,415,599,858,029,649,653,261,942,035,552,311,430,
432,171,608,195,382,329,206,188,864,968,624,567,222,503,134,552,813,606,866,
349,913,802,973,084,425,370,321,777,022,598,348,809,686,831,407,046,748,737,
683,782,994,236,009,342,535,847,193,640,373,530,863,225,593,526,374,617,862,
761,805,439,422,511,768,590,622,527,373,145,242,451,567,675,552,242,257,367,
966,800,377,899,965,055,063,443,548,010,155,025,717,981,811,804,801,887,020,
584,485,779,201,306,256,469,908,573,198,763,824,086,660,351,063,204,110,547,
396,977,437,731,427,212,190,669,686,546,410,952,718,098,331,123,491,061,756,
410,435,791,401,389,423,086,094,828,380,109,014,339,298,377,301,291,923,550,
229,044,340,936,740,861,829,771,917,128,366,035,025,052,128,690,582,889,050,
591,619,514,841,322,406,318,856,441,812,125,853,793,843,042,329,611,510,541,
987,433,302,722,379,919,111,721,758,695,535,688,988,773,826,243,509,868,363,
909,079,176,998,453,756,657,572,252,849,378,087,468,113,952,898,459,548,589,
221,842,927,975,994,008,231,252,762,503,335,783,468,226,943,862,219,666,058,
786,004,774,351,092,291,723,452,484,155,873,022,364,651,140,178,415,753,404,
859,513,000,142,511,777,122,560,172,600,838,796,546,523,164,737,257,821,198,
409,418,406,175,812,781,948,678,452,259,400,501,238,294,573,524,751,629,514,
171,470,215,632,253,058,470,264,818,941,644,519,330,235,980,222,118,339,128,
515,486,576,863,544,063,824,356,123,324,664,484,070,659,607,501,818,236,578,
488,202,195,112,471,501,954,321,359,013,982,363,484,358,083,026,643,112,873,
890,706,470,707,066,160,542,687,296,793,763,188,855,582,276,527,637,432,558,
070,872,353,293,530,418,212,694,435,638,415,949,940,464,081,945,120,978,251,
771,807,662,108,538,824,032,451,255,586,986,648,439,697,123,288,089,116,131,
878,818,119,773,744,624,331,329,108,107,814,830,411,110,525,866,502,949,687,
739,411,839,604,345,936,203,712,687,132,191,428,986,137,792,677,711,239,858,
871,815,286,106,874,415,536,410,967,048,769,354,140,261,310,432,839,923,589,
040,973,156,856,738,735,902,590,951,489,120,173,039,216,558,345,203,367,704,
099,594,620,624,854,660,675,802,551,140,938,528,374,236,831,208,029,339,712,
024,274,282,770,858,444,794,986,624,764,294,019,508,543,161,380,638,353,601,
829,319,542,995,127,053,265,207,256,767,625,844,493,365,150,967,385,594,128,
639,877,726,946,838,244,066,155,938,442,855,336,470,494,946,763,867,100,252,
967,107,459,030,256,638,785,976,335,115,212,999,518,248,472,331,346,752,200,
625,687,255,179,688,355,428,255,337,160,850,094,882,106,239,131,774,481,319,
061,961,144,560,580,912,217,090,988,829,763,042,347,454,364,367,824,554,316,
554,039,814,954,855,929,659,626,825,669,614,524,568,996,738,459,176,490,942,
740,151,626,650,212,956,671,976,278,930,697,673,747,963,681,314,362,361,309,
444,046,375,720,595,393,432,583,689,208,342,418,853,659,194,573,383,629,743,
751,180,022,133,412,235,670,302,520,833,613,973,874,465,508,657,035,647,552,
107,843,824,450,988,924,004,136,338,942,061,454,989,852,846,312,790,348,499,
688,952,774,482,425,735,692,680,967,246,802,134,802,024,966,948,194,607,869,
516,167,901,172,345,014,368,092,291,479,227,803,764,352,378,146,856,177,838,
093,719,301,304,742,088,630,012,060,852,795,593,061,572,525,029,998,997,475,
951,837,146,632,185,189,203,160,589,058,406,420,509,645,495,175,425,129,986,
543,517,059,751,338,626,391,527,364,966,090,948,324,346,185,813,784,453,435,
842,958,851,426,110,129,186,887,629,327,997,223,574,198,739,950,341,711,026,
444,286,467,624,235,680,169,919,351,790,732,623,969,058,755,084,921,146,563,
505,083,736,890,281,722,870,302,665,332,667,326,719,244,751,368,800,573,455,
929,166,083,665,983,171,143,980,561,798,149,406,625,037,361,399,206,211,745,
715,228,067,229,008,324,636,333,045,971,464,556,803,265,530,593,549,777,706,
599,542,695,907,909,173,251,482,577,026,895,656,239,775,964,875,232,701,712,
706,712,532,808,209,083,629,944,229,779,867,885,609,682,715,975,019,891,333,
753,838,305,231,920,594,942,171,435,102,598,161,492,266,104,778,902,220,161,
057,407,483,428,023,632,077,867,754,654,629,716,880,181,118,292,059,379,560,
248,292,921,706,506,672,071,636,779,207,176,153,371,258,557,865,484,234,834,
546,244,159,136,076,730,608,783,249,426,448,574,958,488,411,671,753,844,299,
649,523,586,440,010,615,993,874,200,533,861,512,228,908,073,018,587,638,309,
754,409,871,422,990,213,077,661,916,991,706,457,733,990,059,561,483,607,118,
586,599,585,939,542,347,482,372,901,786,241,040,495,634,365,514,534,583,578,
876,799,387,108,507,649,682,335,486,039,238,750,011,057,074,265,296,236,578,
326,177,984,608,491,669,128,788,699,211,892,740,741,235,600,677,741,446,626,
267,882,036,998,493,517,383,527,441,390,681,733,538,052,805,357,857,692,188,
273,490,445,325,315,521,333,471,503,760,795,898,636,467,254,661,305,714,350,
448,028,469,764,055,972,365,461,925,739,596,478,699,373,643,129,624,175,769,
419,466,453,367,465,453,238,516,633,679,970,003,397,501,219,941,183,579,240,
157,934,579,233,028,033,075,593,864,373,832,280,220,131,115,657,856,411,727,
865,892,711,020,747,561,339,728,494,237,311,885,563,246,170,448,198,630,494,
346,226,449,312,714,029,258,423,147,062,994,310,801,641,746,554,947,309,359,
243,958,056,307,158,942,452,052,960,124,530,367,497,725,811,577,778,780,051,
590,513,436,777,020,793,010,176,634,904,920,992,317,087,066,088,983,398,171,
605,678,325,271,481,260,439,860,879,873,517,162,672,003,809,074,073,664,386,
231,014,927,039,532,750,369,426,116,994,654,558,706,336,505,848,025,293,843,
115,268,575,112,277,376,812,694,842,075,586,069,673,419,444,955,236,975,610,
054,185,894,307,213,324,490,291,077,603,405,497,128,479,554,969,062,071,872,
212,396,989,604,586,897,791,918,308,708,430,167,814,809,654,154,458,715,741,
878,187,324,851,729,835,528,115,203,331,922,530,150,156,074,594,317,788,556,
444,607,672,816,940,022,504,930,956,731,940,461,368,689,301,989,096,215,927,
281,514,281,843,764,320,948,406,230,366,427,697,321,831,222,204,527,527,983,
630,758,740,622,270,816,964,978,576,954,760,656,738,800,742,551,378,885,052,
144,620,683,262,326,887,868,789,165,948,918,150,423,878,323,620,112,033,357,
042,996,147,060,538,654,650,251,783,414,895,999,523,610,413,154,556,176,474,
281,159,244,298,021,305,609,805,373,133,260,464,512,866,107,615,615,839,394,
659,303,042,883,559,184,490,416,261,759,576,196,326,862,270,451,302,520,324,
309,134,893,323,114,537,992,629,305,875,723,645,385,139,604,926,463,721,181,
474,443,882,231,950,244,806,743,627,073,149,616,421,724,147,472,021,359,263,
715,058,491,429,287,907,430,527,837,136,772,957,731,240,255,574,545,125,647,
525,948,917,579,616,140,098,888,003,414,060,514,950,634,741,495,829,338,251,
121,095,047,859,200,541,907,560,053,153,494,490,857,338,250,342,134,229,109,
458,580,169,691,260,794,990,764,935,923,414,197,184,635,408,726,352,570,454,
759,909,769,391,057,291,490,770,086,100,613,567,455,492,736,791,006,831,525,
379,225,265,844,206,657,716,772,743,494,113,499,505,654,840,876,375,647,560,
183,232,774,352,693,179,562,898,294,187,726,227,985,909,998,426,329,968,385,
497,402,205,360,287,930,457,668,001,620,067,143,754,466,998,508,091,648,198,
008,592,410,512,900,601,408,277,110,581,800,060,435,397,247,581,930,265,213,
051,354,966,702,855,828,188,626,574,428,738,194,907,733,253,314,491,865,260,
434,222,524,092,432,501,840,002,773,660,306,121,844,052,623,532,921,573,972,
778,634,385,480,157,059,986,462,116,558,345,694,976,981,869,283,293,536,997,
010,154,693,527,319,782,463,298,527,816,942,634,791,814,194,596,492,520,087,
315,186,456,884,746,222,132,417,583,698,514,578,731,318,692,356,668,349,195,
098,330,135,193,281,540,863,079,436,464,251,626,473,696,985,927,463,689,739,
787,890,655,096,692,008,972,924,020,756,026,286,443,658,826,293,346,314,465,
598,279,726,442,882,306,208,234,203,749,900,603,592,033,152,677,663,075,080,
087,043,529,719,481,644,380,381,534,832,872,047,796,233,807,172,442,451,237,
380,645,696,778,718,489,452,150,756,549,141,674,429,220,677,001,878,654,794,
126,575,140,477,162,434,403,937,356,001,859,162,639,667,186,823,439,901,723,
045,300,222,431,324,749,421,496,947,432,417,724,536,221,771,861,599,260,310,
353,556,689,839,975,434,284,056,734,889,656,721,912,417,319,305,284,356,390,
829,410,260,234,838,655,134,456,957,138,063,808,041,636,113,937,556,615,537,
421,714,063,181,329,393,127,812,095,516,607,335,172,994,602,204,331,478,934,
145,236,216,930,052,979,820,274,034,844,218,955,383,218,087,813,510,926,092,
548,011,067,503,506,788,277,912,297,202,964,756,476,663,453,930,144,501,980,
402,974,288,088,309,706,194,652,266,791,790,339,560,390,372,086,239,187,782,
225,628,940,298,664,106,857,930,389,060,440,194,997,039,216,209,463,360,337,
232,078,830,114,711,915,333,088,711,872,068,664,045,504,382,271,564,189,720,
857,238,442,507,636,303,511,644,386,569,151,377,225,975,604,070,025,726,137,
071,259,046,292,300,918,605,684,595,261,725,984,277,184,424,940,186,774,644,
807,549,971,174,087,993,945,370,173,783,081,752,929,513,621,839,943,640,008,
510,884,380,125,150,476,824,816,818,749,331,268,148,489,700,114,140,276,554,
539,863,268,778,423,551,146,785,374,897,889,100,359,330,145,167,612,478,756,
502,547,684,812,791,422,821,404,083,197,107,189,667,043,864,164,431,934,799,
475,387,230,489,721,126,381,217,595,207,344,998,434,739,959,254,364,161,169,
028,086,589,404,675,860,226,848,715,025,023,599,795,333,621,741,011,996,537,
452,825,867,910,996,831,643,266,164,846,029,539,523,151,681,172,004,212,888,
700,350,956,627,915,212,225,737,069,497,621,812,445,749,149,565,491,552,767,
248,363,008,979,613,016,211,651,543,143,042,801,659,430,651,992,785,795,773,
846,477,792,504,100,503,935,612,126,632,644,497,133,585,117,464,232,592,612,
835,946,602,743,416,263,713,376,057,010,639,072,211,221,790,446,409,549,339,
910,710,179,332,304,116,847,097,420,735,151,414,043,194,077,889,516,277,227,
341,277,367,509,229,386,956,972,556,818,048,563,301,362,017,601,183,616,592,
391,638,564,677,305,983,337,764,284,746,833,867,028,857,530,575,956,019,348,
427,194,023,836,584,658,932,144,190,571,446,254,352,315,614,033,467,940,621,
583,008,219,760,318,196,389,338,652,648,916,285,956,096,881,596,064,498,932,
140,170,732,077,967,711,818,950,698,057,451,400,933,810,921,013,851,718,910,
324,612,704,082,488,404,099,219,462,718,308,749,474,160,900,487,975,294,558,
990,558,453,514,174,573,513,124,917,429,747,639,502,588,399,565,539,048,513,
658,975,113,302,439,355,449,271,107,711,297,403,352,658,935,040,400,716,328,
696,250,793,903,086,900,207,093,058,446,730,803,398,219,247,793,602,084,276,
464,163,315,687,471,183,054,607,108,911,732,521,635,711,099,462,517,737,846,
095,480,000,608,757,935,879,454,917,285,744,884,995,851,705,134,676,625,737,
017,439,331,471,617,180,963,960,121,065,402,276,608,137,578,124,138,038,529,
831,214,517,730,858,338,004,641,074,691,588,613,101,331,561,804,215,616,723,
279,275,446,465,554,272,894,552,172,199,054,855,794,084,370,086,772,407,707,
791,387,597,343,007,809,715,645,347,648,900,135,844,913,318,001,990,853,937,
539,722,303,429,742,414,314,808,416,785,331,990,841,321,814,252,634,868,284,
588,157,534,277,625,437,486,156,286,846,567,794,103,620,912,888,831,115,463,
782,881,588,580,719,044,609,511,307,642,775,947,626,453,835,294,327,441,254,
678,835,307,066,096,150,094,772,740,889,943,246,465,181,463,229,564,485,034,
834,192,471,130,951,018,920,169,029,442,799,122,013,653,149,759,215,810,460,
048,240,968,803,298,425,820,420,260,671,993,995,987,467,362,818,317,601,624,
927,401,341,418,100,221,052,974,188,509,595,774,825,444,502,751,757,764,313,
353,032,997,707,958,715,975,584,663,986,731,753,469,564,991,580,751,797,796,
755,704,689,514,380,116,793,105,284,986,867,646,490,522,597,618,367,054,628,
607,439,394,193,728,925,677,428,729,927,768,468,309,055,802,129,091,236,910,
502,788,954,012,498,172,509,064,112,901,719,075,612,209,738,473,206,863,114,
954,746,972,246,279,831,148,830,616,440,579,117,571,695,866,416,695,332,827,
570,652,718,603,391,168,987,483,407,745,003,866,746,314,131,982,990,718,405,
656,928,338,709,494,303,001,576,322,358,091,752,750,567,161,811,877,016,310,
025,104,867,727,695,246,763,801,823,396,923,114,684,627,405,765,305,673,973,
416,146,096,182,789,243,467,430,388,839,445,120,823,882,104,813,719,160,060,
195,313,084,274,260,909,789,124,664,727,178,758,470,148,149,486,478,542,781,
163,441,687,692,864,449,514,991,011,557,095,852,854,416,561,191,722,852,306,
762,348,432,864,343,104,663,954,396,360,446,307,618,405,861,172,383,886,857,
214,070,369,174,980,775,601,008,566,564,462,335,798,277,043,835,852,598,111,
480,203,864,890,822,571,658,786,933,235,162,697,347,985,483,919,917,816,550,
353,470,605,384,941,042,236,457,746,945,076,349,133,799,999,402,595,364,157,
297,376,329,436,257,138,312,975,247,443,218,771,539,937,762,000,191,138,974,
766,604,853,965,514,107,094,241,538,233,995,500,263,012,306,854,472,765,654,
204,034,964,336,187,351,204,558,447,532,172,690,143,230,619,192,356,969,713,
175,123,418,694,133,996,132,573,177,535,910,053,895,136,123,828,474,143,286,
906,352,141,997,548,117,193,758,399,975,852,446,626,421,552,336,449,343,743,
208,006,299,025,179,888,419,095,243,716,682,448,760,879,045,726,685,147,498,
254,782,670,233,643,187,487,270,579,876,127,727,866,077,609,610,814,264,203,
317,422,331,807,039,850,683,441,406,917,313,160,777,618,259,622,493,011,141,
615,281,624,911,042,044,262,183,611,021,930,746,744,108,922,350,395,468,022,
139,448,887,469,449,365,605,806,793,162,889,800,967,373,606,512,232,781,779,
564,191,072,255,521,372,817,185,693,303,512,184,612,410,904,690,120,567,763,
071,679,875,906,851,195,953,119,145,442,757,836,294,400,980,433,269,333,419,
907,120,143,482,930,514,572,907,469,818,865,859,272,289,420,965,009,797,172,
011,287,722,472,194,722,216,268,974,878,522,798,846,100,440,360,426,361,944,
137,009,450,370,848,686,204,529,407,872,824,458,889,743,022,391,178,224,970,
641,204,839,904,909,167,989,335,250,988,143,305,849,150,206,340,867,370,448,
000,371,717,929,350,606,378,318,975,807,664,531,471,540,255,103,812,226,957,
458,927,202,885,161,718,915,918,804,226,141,047,274,664,794,916,142,309,660,
383,381,012,528,407,968,260,267,343,341,218,482,437,542,322,049,520,755,908,
539,176,345,788,946,472,598,217,989,283,964,121,390,295,797,883,431,006,450,
222,978,002,961,189,232,799,638,974,132,060,347,734,314,966,566,076,991,434,
311,476,323,620,288,971,958,413,823,593,808,329,407,970,365,347,579,394,104,
962,720,571,410,917,067,163,134,206,877,697,160,477,852,888,856,288,105,632,
098,435,334,929,570,012,033,960,003,125,535,711,209,945,988,364,408,158,771,
986,532,366,132,614,804,812,651,590,253,095,203,107,891,998,816,222,792,772,
066,604,632,441,554,614,722,752,408,366,419,622,777,916,451,327,741,572,817,
263,893,319,332,465,882,658,457,908,637,600,304,150,085,744,399,971,136,963,
587,702,149,087,407,445,145,130,964,807,098,161,209,461,293,360,063,812,561,
981,314,892,230,990,607,289,370,288,848,518,346,479,845,193,366,649,788,432,
594,654,313,612,476,415,877,028,953,997,605,942,391,646,445,769,966,036,808,
799,379,158,770,630,036,756,594,541,214,293,099,340,939,273,394,459,074,777,
426,187,480,309,159,964,321,723,960,954,979,483,962,138,883,809,387,291,026,
358,973,719,768,109,187,068,774,864,258,528,052,883,339,309,646,153,082,972,
948,123,159,285,929,423,436,165,891,873,840,783,702,258,953,818,989,213,931,
715,567,259,862,097,531,244,918,609,341,823,512,563,149,516,780,519,158,838,
787,181,334,373,230,692,088,300,107,448,904,040,720,607,715,133,468,803,510,
115,954,345,742,347,145,562,899,507,800,083,344,413,172,642,932,001,793,239,
859,620,427,536,671,343,370,339,432,435,777,120,519,831,740,071,803,049,225,
178,175,101,540,163,083,496,149,949,562,459,670,540,570,601,218,418,941,252,
608,900,741,226,228,318,902,473,619,630,325,928,309,886,210,805,864,734,306,
887,356,576,916,535,040,461,984,036,091,955,441,063,383,245,807,906,953,311,
188,225,238,186,029,707,901,969,253,523,660,941,855,644,615,970,945,313,528,
729,997,364,434,279,471,743,414,799,321,423,544,247,624,750,065,613,236,243,
270,858,352,507,153,545,441,643,549,351,323,989,881,827,991,770,504,091,072,
755,389,045,407,353,969,318,737,893,246,806,171,212,343,522,913,766,482,448,
072,993,741,250,122,463,079,274,093,881,462,717,971,807,540,569,228,306,145,
987,684,478,141,307,875,208,115,377,198,920,420,563,109,737,701,514,320,038,
397,138,578,574,702,333,186,606,348,395,408,867,502,925,341,057,891,890,480,
258,623,153,621,292,511,857,492,059,926,479,071,783,424,711,133,578,361,588,
903,319,720,640,740,691,407,136,584,152,307,889,857,851,434,493,541,991,010,
735,062,189,627,140,099,949,824,572,438,051,339,825,482,375,408,468,893,913,
345,727,060,844,109,104,567,195,181,593,331,087,161,490,388,286,227,233,210,
125,208,877,476,058,123,299,727,280,411,732,352,084,494,272,622,205,016,778,
740,826,313,283,288,210,532,985,595,046,180,893,282,109,640,295,180,897,963,
442,419,547,793,782,033,541,044,828,703,643,607,231,850,372,001,568,296,349,
286,298,436,675,125,776,484,890,194,565,702,211,971,480,355,169,328,237,965,
473,254,236,392,446,972,207,878,658,072,597,745,558,749,956,526,259,821,629,
082,261,993,136,312,102,560,239,927,340,514,745,001,483,117,107,615,349,330,
297,573,003,530,680,356,837,431,577,790,926,325,332,784,945,204,639,651,397,
179,375,428,653,408,417,746,751,546,701,452,176,506,756,224,370,947,445,248,
639,279,791,273,535,916,721,894,345,152,718,137,005,553,549,142,183,818,108,
476,759,568,701,946,025,262,145,658,258,254,518,421,411,100,379,577,449,114,
561,088,391,950,916,139,970,691,570,398,169,631,013,535,821,104,812,102,454,
982,867,771,328,145,527,404,080,685,279,507,019,616,777,991,131,380,994,713,
300,440,184,660,560,565,948,481,868,804,103,489,017,995,388,379,503,666,434,
069,122,821,707,527,486,418,844,894,383,644,640,009,226,306,284,493,019,263,
749,330,538,185,365,335,086,148,122,753,025,153,859,642,282,805,224,913,427,
049,499,850,988,036,763,933,447,606,686,344,822,805,998,307,994,470,002,366,
633,183,371,910,149,592,542,787,753,461,605,214,328,724,167,177,636,800,366,
471,643,755,979,982,949,017,055,316,003,839,257,334,629,315,206,599,270,710,
186,955,286,827,421,686,779,523,628,094,644,757,278,015,450,710,114,240,196,
252,326,005,481,647,510,437,657,421,398,265,072,824,749,569,535,583,498,964,
194,938,193,760,763,122,375,313,221,128,474,550,100,973,814,521,121,920,779,
977,305,963,113,649,335,687,611,227,021,985,987,579,218,681,098,062,575,515,
020,733,801,690,404,251,721,654,964,930,643,233,995,203,978,592,774,770,142,
950,609,885,428,731,795,714,149,604,853,342,361,873,959,264,517,716,629,147,
613,643,944,378,816,194,823,834,760,940,018,685,540,454,516,620,268,409,915,
632,403,959,932,067,368,858,539,709,398,647,694,388,158,030,742,044,832,219,
956,346,683,944,562,916,227,853,142,644,855,345,891,131,540,327,099,831,843,
014,507,618,153,291,531,242,386,723,673,374,385,960,186,799,481,578,688,379,
225,803,673,636,052,400,082,142,542,498,693,601,941,682,236,900,428,939,374,
866,316,635,324,852,096,866,425,349,770,168,169,162,200,312,535,479,263,715,
740,638,380,645,003,595,396,473,717,426,581,726,144,194,588,062,312,518,356,
385,600,213,958,289,861,980,013,994,772,309,412,544,359,587,895,987,926,789,
944,950,200,958,830,084,351,819,482,810,238,269,045,401,716,896,672,030,756,
587,128,138,944,639,842,419,598,857,506,035,203,074,919,737,551,623,450,418,
424,089,870,707,897,437,115,396,304,500,110,365,923,549,168,746,123,346,910,
655,333,675,915,244,541,023,433,609,535,710,672,642,138,107,916,161,570,308,
700,208,596,104,874,682,151,985,918,182,457,410,378,008,368,327,519,315,591,
686,736,978,253,566,051,141,592,281,575,364,926,660,481,743,424,680,851,402,
668,036,829,497,457,155,631,320,331,132,060,668,159,375,820,673,438,249,256,
489,342,230,656,303,927,809,511,593,355,332,408,060,014,085,144,098,764,312,
448,083,935,425,857,422,238,838,199,985,253,185,774,812,365,086,713,651,032,
461,884,234,499,774,635,517,916,777,944,566,147,836,743,652,974,559,778,391,
032,997,376,095,953,484,673,264,183,935,075,119,843,184,440,762,304,985,931,
012,115,087,296,612,510,027,380,685,078,377,428,993,428,994,908,594,470,154,
442,022,272,984,747,848,738,809,080,000,493,971,569,549,777,135,726,859,782,
836,981,484,810,887,532,568,546,143,962,364,405,190,702,884,236,691,126,323,
084,970,450,614,929,199,174,434,881,117,744,497,872,054,964,465,697,938,098,
398,526,720,101,237,850,332,536,412,639,315,534,679,777,938,682,027,646,399,
384,082,504,865,014,087,859,058,281,514,197,332,969,162,483,893,671,230,426,
117,321,914,554,909,520,018,399,222,247,193,790,627,036,845,891,562,997,358,
880,509,324,743,028,306,338,505,682,730,767,372,403,404,880,018,612,683,774,
534,243,373,529,692,269,752,626,398,704,944,178,997,269,985,723,542,559,707,
603,896,231,506,548,258,408,786,854,157,580,580,405,810,740,922,664,131,769,
458,205,676,148,494,703,793,626,832,330,457,624,119,236,610,797,574,714,598,
615,201,312,809,158,801,858,128,068,909,563,345,396,521,470,520,381,759,362,
551,357,961,938,271,805,261,282,531,537,753,043,564,797,102,698,135,517,727,
489,230,577,095,280,391,786,346,059,466,322,402,799,938,837,042,190,680,643,
362,185,417,303,931,142,345,655,378,549,867,445,972,913,490,789,035,173,864,
974,376,967,786,288,013,531,128,713,933,640,480,737,404,003,175,951,561,622,
931,601,296,894,219,710,725,950,100,860,385,949,551,374,503,957,565,158,777,
623,409,547,589,893,121,210,678,155,319,714,405,471,068,366,007,256,020,944,
091,860,512,293,650,517,339,510,867,690,983,796,970,990,114,185,749,539,623,
249,928,520,439,124,738,860,420,152,223,273,242,499,482,979,610,057,168,212,
761,325,276,774,272,431,561,487,937,186,060,109,590,867,646,391,954,551,571,
290,753,086,818,201,588,165,469,015,215,735,647,108,978,758,909,996,327,246,
089,904,497,466,363,967,545,143,147,342,086,253,773,291,331,167,692,362,518,
203,705,813,389,139,115,900,942,497,952,443,868,760,178,829,486,173,997,649,
499,457,034,827,261,662,815,193,601,575,083,534,677,916,661,497,526,172,624,
295,223,814,618,437,280,595,741,287,043,839,588,902,276,413,928,892,548,477,
431,873,380,847,434,633,467,527,515,431,274,722,276,520,304,897,757,345,607,
317,050,296,365,240,492,087,835,278,525,698,802,410,924,014,036,799,624,039,
701,915,423,279,496,383,480,927,742,751,698,781,809,657,169,616,368,563,466,
876,348,960,978,463,713,309,702,216,339,845,372,665,664,797,670,567,971,292,
501,759,786,264,650,308,473,424,728,789,163,280,743,586,163,197,086,254,974,
150,110,947,236,469,296,904,949,801,408,822,324,418,301,936,974,645,527,918,
337,077,325,502,159,463,391,041,762,007,885,970,151,719,837,611,903,790,052,
917,261,094,074,744,348,109,135,265,782,938,896,693,243,533,984,485,958,090,
713,244,742,154,951,677,373,337,115,433,768,951,362,786,117,977,278,263,177,
399,258,988,007,997,351,308,242,888,326,907,227,118,175,149,924,389,282,362,
413,323,686,509,616,931,053,968,484,076,290,393,890,393,312,390,433,581,359,
554,085,078,054,232,691,742,799,686,181,565,163,618,637,101,274,751,519,583,
671,190,826,538,009,359,140,815,813,086,763,926,912,578,800,000,766,929,088,
580,427,751,658,118,810,057,821,738,487,959,195,408,808,988,382,188,113,932,
544,906,272,805,130,226,836,293,178,508,314,629,006,001,456,666,156,636,596,
268,903,269,287,702,009,103,732,452,836,959,244,308,456,004,542,778,993,132,
694,535,296,632,568,062,006,323,089,453,183,455,700,260,432,920,540,148,454,
255,339,497,862,568,415,355,368,642,889,476,903,681,342,121,147,114,844,090,
494,401,393,732,397,466,926,634,677,927,830,844,572,320,102,691,842,875,154,
061,298,403,139,385,307,459,106,117,511,374,679,807,384,818,605,644,193,128,
944,574,762,897,538,765,445,128,556,675,107,563,848,400,760,796,816,932,091,
728,548,477,881,864,231,597,120,789,222,177,382,731,664,173,354,621,716,132,
403,866,388,410,980,526,709,319,323,518,006,095,930,051,892,892,720,711,157,
305,428,050,160,433,905,218,816,006,686,623,433,500,397,173,396,391,414,761,
253,269,491,385,896,822,780,674,895,545,919,306,801,492,819,794,159,332,952,
431,343,188,109,097,700,344,917,665,357,167,620,156,550,512,025,012,817,332,
042,006,535,524,689,174,174,990,696,412,306,816,379,327,499,121,975,054,543,
798,986,877,149,549,164,266,547,516,225,931,764,808,482,649,948,594,987,000,
996,635,644,123,258,334,348,723,244,370,820,745,100,129,455,125,966,186,962,
116,405,388,578,932,165,260,131,077,317,532,154,617,841,676,214,434,992,102,
813,636,319,703,385,350,293,891,027,605,329,610,569,534,063,668,508,603,713,
460,669,343,745,896,796,433,841,847,190,598,588,477,322,466,108,225,623,359,
103,734,492,960,578,914,378,589,307,343,745,478,581,693,677,678,203,866,842,
600,176,723,958,317,229,422,357,256,381,550,118,753,379,506,185,049,403,637,
424,072,371,252,784,350,871,370,802,882,156,815,753,183,176,305,306,429,660,
069,858,596,282,958,786,038,532,228,309,420,699,861,171,797,421,316,514,310,
016,957,154,447,006,177,939,929,072,581,497,914,143,362,435,032,234,605,202,
237,489,327,548,005,576,013,665,478,919,973,692,385,131,524,626,647,665,857,
424,127,466,988,071,066,654,919,207,300,301,843,304,017,545,149,705,928,730,
176,533,507,943,895,804,903,602,733,273,138,062,229,756,355,636,791,715,185,
924,306,481,148,135,738,134,044,362,926,551,374,138,384,635,533,903,334,552,
760,374,526,415,768,389,571,678,188,679,591,257,979,422,624,324,676,339,948,
144,400,974,734,244,310,953,122,425,559,791,933,985,248,093,576,139,179,705,
872,085,806,962,545,986,652,368,509,772,247,956,195,011,593,625,469,163,263,
108,527,321,980,945,053,566,649,685,228,945,844,908,566,826,775,561,210,346,
937,619,283,661,117,518,955,641,700,522,076,387,624,830,475,084,894,937,883,
200,512,849,487,113,965,115,180,807,936,141,722,957,029,956,487,600,341,744,
030,239,224,906,053,804,664,539,701,674,100,152,582,868,627,488,045,317,200,
932,271,814,776,500,243,521,549,501,697,592,384,680,148,050,668,396,194,399,
502,391,846,746,354,342,165,065,613,988,034,707,747,187,077,607,835,090,586,
517,549,937,007,826,602,417,053,553,853,770,610,504,226,366,269,364,055,101,
652,197,941,473,586,936,843,866,820,355,291,205,216,284,646,201,506,754,030,
147,517,532,958,894,356,833,825,582,707,071,763,368,550,027,957,174,998,591,
879,851,113,499,141,482,212,640,775,284,332,010,611,788,870,133,545,431,754,
884,776,547,888,104,497,491,281,180,384,632,503,110,618,313,393,993,423,445,
621,670,178,784,805,452,770,395,776,593,417,203,731,844,249,110,696,684,221,
760,357,907,885,660,439,945,306,338,203,016,623,782,613,237,721,423,818,796,
402,671,335,396,772,753,285,310,484,697,944,717,273,277,996,829,942,167,577,
272,457,576,997,335,145,692,639,140,847,088,391,587,218,727,822,654,491,592,
626,655,408,814,064,392,271,972,903,356,374,465,221,018,912,800,214,670,382,
467,114,328,994,616,130,664,886,930,985,530,363,023,412,298,459,298,466,511,
459,534,400,763,873,395,372,399,510,154,216,817,471,610,621,581,107,485,849,
235,967,393,493,029,294,042,246,646,775,432,795,381,932,279,161,290,538,816,
835,023,092,643,662,396,508,386,453,900,952,977,174,147,052,405,116,859,171,
641,036,570,974,982,885,323,748,963,073,280,139,063,350,401,638,169,328,259,
711,304,721,461,878,979,151,887,571,995,294,027,968,395,794,056,039,098,549,
983,216,810,893,337,839,975,329,490,294,717,901,857,317,574,945,279,672,150,
520,068,479,215,730,485,333,906,549,392,818,372,378,642,551,418,087,852,824,
358,836,313,690,072,000,097,508,134,971,103,724,603,935,701,900,448,867,351,
558,398,981,516,483,678,681,700,191,365,184,862,591,180,460,787,240,134,318,
971,328,841,036,886,348,387,398,503,835,186,907,858,142,451,103,438,065,252,
906,404,569,473,636,542,563,879,475,364,015,710,912,828,514,560,891,742,905,
199,092,942,157,362,289,367,633,758,724,017,048,770,945,382,926,140,243,262,
840,786,481,865,059,036,748,804,530,202,793,776,125,521,210,699,143,038,717,
475,643,494,625,954,191,055,186,961,812,537,856,830,729,389,502,700,091,262,
599,639,425,442,969,994,905,574,088,547,019,419,001,740,031,351,990,742,462,
683,355,826,095,068,734,481,739,631,818,405,185,449,221,343,862,123,741,733,
421,692,672,060,250,372,784,773,748,500,904,524,762,928,096,826,353,559,299,
234,357,321,240,906,612,466,006,012,997,357,924,911,823,861,288,447,459,165,
475,537,974,444,357,684,147,228,746,970,332,551,941,025,945,919,725,301,491,
172,619,160,034,207,705,903,251,332,467,244,841,042,445,045,049,225,642,443,
388,927,587,686,149,935,750,762,072,279,292,996,825,536,310,211,679,033,939,
834,818,306,552,566,682,120,227,335,716,886,454,248,783,501,536,339,181,320,
585,811,610,615,824,760,630,571,445,616,018,089,831,527,386,739,322,097,479,
424,951,192,766,288,513,518,632,218,631,786,648,679,279,277,804,087,550,369,
389,904,566,568,649,167,414,169,642,847,415,813,718,444,174,067,504,718,797,
566,767,852,759,455,230,873,761,898,480,154,293,861,675,466,397,973,201,685,
091,441,057,543,584,193,818,982,044,465,647,587,534,169,098,093,477,452,206,
696,687,636,500,117,781,655,047,934,227,588,695,547,509,203,283,891,625,535,
161,798,666,628,340,051,281,271,492,348,156,628,412,269,458,474,450,005,094,
419,243,297,586,025,417,703,429,214,932,129,632,602,499,586,860,981,108,893,
211,821,812,762,526,158,778,335,786,429,075,135,458,113,717,770,439,758,285,
798,876,758,705,976,151,434,934,494,114,017,835,213,128,346,356,837,086,864,
992,031,176,267,715,911,923,209,969,258,242,294,568,815,090,012,428,101,789,
359,655,137,074,512,231,945,608,709,256,472,990,058,692,966,305,618,265,688,
217,079,528,344,493,938,052,694,009,752,821,434,032,936,706,179,937,947,474,
463,375,295,029,192,541,376,653,080,994,327,759,249,550,121,415,748,388,718,
643,623,088,849,408,231,946,565,318,435,514,500,571,676,457,611,246,048,788,
190,043,701,472,046,298,383,870,276,211,363,951,230,619,497,355,708,478,113,
636,031,808,511,677,701,197,002,394,221,132,203,014,801,448,943,496,907,517,
057,284,174,698,576,440,487,678,154,912,820,135,071,877,711,881,531,557,487,
616,475,256,820,396,772,824,003,007,754,681,292,699,364,894,452,635,388,562,
960,426,762,254,051,287,993,377,667,382,857,432,479,657,506,316,928,865,435,
490,151,198,801,956,037,944,397,237,165,031,526,153,259,244,543,782,957,113,
699,062,123,748,582,497,238,123,221,786,932,606,528,702,743,171,025,138,359,
079,976,494,687,341,759,025,088,349,147,592,769,998,161,580,635,363,323,256,
720,206,255,419,706,477,933,361,510,427,313,665,525,258,041,212,152,522,008,
740,278,428,301,649,856,190,312,108,801,693,663,937,917,628,915,311,897,871,
740,292,886,499,427,737,417,160,349,250,398,426,615,626,701,789,545,767,421,
257,895,610,196,717,690,620,976,771,253,733,545,539,308,214,552,758,259,226,
712,328,611,189,649,808,603,762,531,956,548,656,369,899,917,593,766,547,973,
539,235,920,463,866,679,537,282,432,141,077,292,829,346,572,027,052,303,665,
240,573,106,042,521,079,904,252,899,121,037,872,663,963,318,492,416,343,178,
828,247,291,593,741,963,644,453,650,454,064,842,569,857,922,851,658,582,282,
532,031,635,111,758,211,673,200,173,364,751,038,368,585,370,894,090,552,147,
073,308,978,873,567,844,234,564,220,786,600,645,120,668,082,609,836,349,009,
472,470,133,321,071,006,373,342,726,250,833,550,939,298,192,531,193,275,923,
374,051,836,904,490,632,582,006,756,922,186,642,021,407,282,223,127,670,947,
775,736,577,782,019,570,623,992,978,600,044,306,383,766,015,164,636,660,641,
257,671,205,470,861,824,773,346,571,800,281,642,561,378,735,425,791,338,364,
295,994,221,173,956,695,236,262,047,184,014,278,930,273,381,947,892,280,227,
505,635,831,327,267,002,746,822,528,667,627,932,673,234,993,923,331,850,798,
065,106,724,426,488,831,375,732,497,157,378,572,680,187,508,520,690,806,069,
878,380,660,500,241,415,023,291,680,931,838,603,620,903,284,152,656,504,317,
690,163,232,871,711,017,065,702,030,449,955,207,379,309,510,474,591,858,887,
139,634,070,799,251,868,268,041,578,457,680,862,446,918,398,824,754,004,409,
133,377,785,933,594,857,350,724,913,555,635,809,376,837,807,727,920,807,286,
207,051,080,001,651,472,461,127,276,257,016,671,567,022,089,531,050,626,932,
242,616,831,087,481,761,442,985,963,548,912,600,080,489,511,780,266,790,437,
800,498,818,283,446,525,682,604,544,371,559,181,499,183,823,292,458,719,640,
921,121,126,781,102,311,122,714,771,697,749,467,570,794,918,839,095,132,542,
620,841,613,125,004,728,645,767,323,758,558,827,512,822,168,894,074,189,291,
967,033,458,968,881,699,804,819,747,363,884,922,640,564,467,672,540,899,100,
177,171,873,516,260,213,494,196,285,204,358,752,832,912,063,851,072,067,072,
778,251,770,713,323,001,612,004,610,403,839,241,146,353,603,349,082,143,560,
061,060,967,303,631,986,692,198,330,899,959,883,808,529,903,385,552,095,345,
153,699,389,000,424,833,939,160,384,293,482,197,505,723,020,504,130,226,125,
791,654,372,662,919,174,290,492,795,771,843,950,655,435,882,279,984,925,184,
398,218,703,827,062,122,598,060,096,035,810,117,339,975,598,466,257,976,032,
930,308,998,767,056,316,369,215,280,261,728,157,960,545,316,267,172,774,059,
612,699,715,697,550,662,071,563,783,940,867,638,601,616,197,103,500,212,048,
446,521,523,285,512,821,681,731,948,523,129,908,052,390,607,105,760,436,104,
749,320,959,376,474,790,053,639,298,300,982,612,337,961,295,663,188,021,175,
602,584,267,283,103,038,318,786,785,707,047,789,343,261,592,998,498,958,295,
159,975,424,539,595,607,490,737,370,232,162,332,749,474,025,338,100,202,330,
822,491,989,636,629,532,556,568,269,640,548,130,546,798,161,076,691,118,116,
117,875,125,832,534,021,654,408,764,007,132,106,882,470,254,152,635,816,657,
506,824,787,377,648,333,303,118,796,780,569,750,308,120,216,766,830,823,305,
315,522,035,667,575,459,156,779,751,559,549,038,784,260,992,385,263,663,689,
588,287,905,382,056,703,515,314,572,828,922,191,533,622,092,481,300,145,332,
576,605,547,240,708,763,109,935,208,340,923,298,883,762,274,685,282,801,466,
832,064,612,864,864,956,175,031,301,705,656,603,943,939,250,506,628,280,154,
984,965,128,264,067,890,902,677,115,222,851,708,697,177,797,116,517,079,293,
940,803,085,315,964,802,505,903,463,498,186,242,648,478,891,857,544,775,548,
456,969,556,737,417,450,397,903,787,963,331,858,351,138,155,229,471,228,348,
583,922,041,432,923,772,936,407,212,491,124,447,910,900,525,321,141,521,640,
403,974,712,281,955,968,755,407,216,846,775,756,968,348,495,200,121,683,747,
858,092,322,332,694,453,166,987,562,066,912,656,507,651,082,500,797,224,972,
812,400,798,790,171,424,480,172,574,189,138,001,695,223,598,535,082,941,327,
887,136,918,069,768,128,174,275,009,996,584,133,301,728,634,988,024,936,677,
060,856,940,839,075,576,497,682,750,531,100,044,187,453,759,502,194,005,266,
782,458,551,570,569,524,425,517,635,674,897,177,970,456,898,726,545,864,169,
246,523,544,294,582,486,120,552,053,154,759,151,477,610,019,096,102,829,256,
913,704,358,124,262,339,357,620,703,639,621,343,754,559,221,429,614,799,154,
029,499,018,481,591,369,107,919,251,214,247,538,868,593,169,456,332,376,468,
229,267,983,424,067,473,882,723,754,947,881,644,528,760,199,300,913,507,637,
264,966,034,221,588,476,009,020,268,244,716,969,488,619,395,359,465,050,024,
968,305,808,989,012,766,838,070,770,718,293,199,892,785,619,735,352,206,146,
227,679,565,440,597,463,023,923,316,651,534,992,807,288,327,650,753,543,118,
969,601,862,354,733,288,647,581,629,532,523,526,855,295,817,682,461,570,947,
477,759,223,930,876,160,459,479,590,938,341,879,163,846,188,297,679,347,137,
384,036,909,794,567,665,782,491,806,087,827,616,357,584,559,817,995,103,743,
265,982,403,294,588,242,343,924,559,190,780,770,788,266,518,922,160,945,760,
054,633,050,880,875,923,807,475,169,484,161,121,879,413,848,587,755,981,244,
998,013,937,481,454,323,233,318,759,773,824,681,465,120,995,971,285,063,873,
256,387,387,026,154,172,812,672,364,483,176,464,837,069,098,276,665,203,228,
416,927,243,712,360,006,745,085,033,001,036,919,676,786,510,325,533,143,495,
551,708,406,443,685,798,760,780,740,063,741,588,771,771,476,885,851,274,186,
368,659,181,081,380,121,580,377,602,005,981,474,655,421,505,504,250,084,736,
270,205,956,509,237,032,118,364,038,254,668,543,513,694,662,102,564,893,986,
720,026,034,518,995,031,116,736,776,669,970,573,332,098,590,729,523,731,015,
137,834,923,013,511,068,330,395,995,576,368,445,210,931,110,860,376,021,958,
853,884,944,554,876,688,977,769,966,792,562,321,700,720,577,945,655,424,224,
831,078,780,458,662,239,526,650,027,282,279,109,249,526,490,661,620,523,966,
980,598,354,523,442,478,197,599,093,879,119,095,836,219,170,130,512,829,187,
148,264,964,374,191,044,638,422,377,702,621,312,798,794,751,874,889,911,862,
541,406,326,638,905,002,582,426,814,629,281,212,718,949,331,012,359,002,726,
736,443,203,349,779,438,497,444,092,193,943,544,856,414,057,875,566,931,704,
033,761,789,014,126,811,043,805,404,234,164,397,455,830,894,774,901,994,117,
467,101,267,869,137,295,348,214,804,319,104,236,310,168,379,884,509,583,524,
710,477,876,062,079,264,050,071,118,744,860,105,036,944,601,195,461,802,184,
975,640,848,400,283,639,950,971,112,138,955,827,054,437,739,830,494,265,191,
968,253,304,723,910,295,628,326,999,885,128,580,458,734,223,996,073,516,061,
558,292,749,335,717,343,351,920,466,460,890,349,890,673,587,123,523,641,446,
846,343,043,338,171,813,618,754,040,889,907,010,190,136,575,754,403,536,858,
834,310,031,022,290,144,407,362,894,650,494,268,501,075,163,784,285,335,006,
097,578,613,932,063,123,317,540,229,126,216,352,302,985,817,897,527,224,772,
581,518,884,639,752,420,463,207,852,815,444,160,774,268,875,897,177,348,374,
818,423,216,691,231,076,229,820,013,767,192,893,969,801,871,433,554,333,392,
666,368,507,384,145,879,620,282,601,240,631,134,815,763,903,842,337,461,212,
158,695,485,894,749,472,033,340,278,104,521,263,796,857,528,990,377,525,776,
269,454,148,992,171,128,955,751,229,325,016,870,657,905,468,760,738,764,607,
097,734,792,536,750,792,408,465,142,769,501,810,649,201,617,468,129,810,601,
658,745,881,478,886,759,549,412,077,583,439,089,722,961,005,206,797,336,609,
981,522,308,025,226,600,111,716,022,897,274,512,159,822,167,767,972,566,994,
788,612,103,889,881,924,706,818,813,520,228,780,290,183,855,841,859,785,527,
426,173,126,015,372,943,572,903,039,157,216,862,633,197,359,092,699,844,342,
705,185,502,483,051,541,924,963,524,352,681,271,831,095,531,208,273,838,632,
034,498,354,430,861,026,560,640,686,039,834,341,769,856,994,607,085,884,532,
251,417,845,803,791,598,308,211,197,311,518,982,069,819,999,297,244,909,738,
591,499,301,822,483,392,193,749,599,480,596,845,453,713,742,668,490,288,777,
759,052,073,417,950,151,493,245,118,880,269,923,175,155,635,715,323,979,180,
155,544,480,575,184,974,861,397,677,464,075,905,448,590,838,359,436,883,479,
360,037,367,393,120,917,736,196,533,794,595,823,542,474,753,165,269,046,875,
311,287,278,038,410,520,240,291,908,783,147,275,406,756,379,037,756,786,271,
153,462,293,918,580,655,454,929,664,844,973,198,518,947,097,119,880,688,218,
492,673,679,163,463,571,705,861,723,581,080,040,432,209,045,880,114,150,983,
323,914,002,461,713,748,892,552,112,344,655,711,980,980,852,764,444,964,152,
666,754,736,658,016,819,531,422,957,141,156,019,319,077,798,812,397,492,396,
905,758,991,475,072,490,183,757,322,290,113,249,435,769,118,788,813,207,589,
461,675,428,553,411,488,983,832,022,773,318,867,488,875,612,180,079,847,098,
654,444,514,473,697,528,454,658,168,765,550,867,194,743,687,783,992,220,057,
525,452,177,391,127,918,230,975,980,070,354,045,325,212,022,890,652,429,273,
057,930,856,081,989,225,730,564,410,794,504,845,083,309,759,973,121,528,381,
509,974,305,165,332,475,121,933,930,778,674,204,620,268,498,542,641,132,249,
911,649,683,251,546,857,332,217,888,537,729,536,209,601,590,823,695,760,172,
813,709,375,737,663,367,497,714,377,938,258,475,857,076,750,014,225,294,557,
645,613,835,204,553,125,770,179,467,678,817,997,294,927,279,831,618,441,727,
001,521,053,870,891,467,862,576,575,644,037,609,774,286,639,286,387,587,384,
312,789,105,300,443,774,977,471,871,762,851,782,174,623,826,291,460,432,803,
849,492,053,150,436,274,722,644,049,318,745,313,940,051,771,889,567,726,827,
236,979,692,178,657,336,565,791,823,285,733,928,777,912,623,928,526,875,784,
598,840,657,252,375,658,204,370,159,497,901,348,138,844,932,764,292,210,185,
678,318,323,466,601,333,671,608,225,450,800,829,355,346,541,465,020,583,556,
393,900,896,428,969,217,817,175,664,656,264,082,151,429,474,047,872,381,890,
558,190,413,535,498,308,339,294,828,654,446,977,705,062,410,959,318,886,389,
374,541,067,696,553,322,652,899,615,902,382,358,399,623,455,348,208,184,801,
672,059,882,263,774,809,215,951,653,403,623,395,674,300,735,298,080,334,655,
821,133,843,635,494,184,414,960,170,001,865,412,930,813,270,131,964,758,125,
009,142,677,280,444,707,379,870,428,775,651,827,878,280,889,599,530,145,669,
605,624,535,501,296,094,383,608,927,183,721,693,897,266,669,957,854,996,920,
719,570,181,995,808,236,580,432,247,701,256,800,195,893,208,752,737,951,040,
564,258,674,378,088,782,030,094,024,379,515,949,458,230,099,800,843,570,725,
489,620,124,005,405,328,954,593,660,519,024,657,495,214,661,058,866,448,926,
643,505,849,449,638,339,515,308,107,249,341,897,825,906,016,957,608,194,158,
850,602,941,362,817,058,928,042,609,584,607,310,671,192,710,820,949,372,831,
703,554,360,065,122,277,911,060,593,539,969,481,563,731,010,731,803,644,363,
501,737,760,641,854,182,232,479,820,033,542,469,420,560,534,335,060,730,649,
352,804,368,952,096,442,232,131,941,735,486,966,610,011,165,392,801,123,472,
133,382,638,010,001,986,473,304,644,213,987,166,236,849,405,841,933,447,073,
811,799,001,140,268,688,988,530,234,781,568,363,511,036,339,243,715,052,453,
633,536,423,209,129,050,988,166,465,504,322,105,396,449,306,193,340,718,954,
454,919,505,255,422,453,892,907,591,331,079,762,160,123,435,115,626,138,321,
371,662,436,314,783,767,038,639,294,109,667,001,365,578,000,150,345,024,726,
482,145,428,976,835,807,052,869,749,986,261,591,442,148,031,840,368,653,262,
030,672,901,681,939,689,674,363,828,479,193,307,428,560,565,570,272,544,913,
239,067,558,362,006,347,258,620,624,441,354,688,725,163,649,325,677,187,883,
374,571,116,797,261,188,410,562,804,254,048,357,629,953,677,110,428,509,717,
556,551,688,765,851,011,933,552,652,744,751,370,626,919,797,884,551,659,025,
066,582,291,438,097,055,464,730,666,100,814,642,740,211,531,460,617,277,833,
644,659,783,434,615,380,839,948,000,661,723,951,931,550,106,863,212,656,748,
425,603,543,461,597,858,746,526,158,839,580,635,363,106,012,667,164,200,715,
699,819,734,666,422,429,828,490,167,862,692,346,079,494,216,437,406,725,744,
072,328,374,793,830,907,569,450,573,265,270,380,544,516,018,265,730,732,217,
089,489,497,758,124,028,238,458,904,666,775,504,304,580,661,200,558,344,174,
252,716,861,021,130,989,691,068,287,442,736,941,655,778,794,410,074,335,559,
967,899,296,334,353,313,971,933,638,120,254,017,498,035,613,898,385,846,432,
398,478,093,333,785,567,299,551,495,133,059,826,982,725,067,456,540,487,122,
794,904,487,291,712,008,253,207,849,142,802,941,387,273,374,470,747,246,051,
428,532,647,576,267,497,223,938,933,720,657,591,952,476,451,522,843,737,548,
522,108,748,631,911,653,829,407,781,696,560,699,808,912,652,270,754,473,511,
416,215,863,450,312,178,293,746,862,704,879,115,161,758,503,160,812,655,158,
213,438,340,418,042,883,145,754,872,947,133,145,191,110,746,024,022,501,759,
003,207,869,262,497,935,213,993,622,643,818,650,153,229,841,532,378,986,354,
085,839,395,330,702,678,536,757,557,063,215,256,114,935,128,674,689,070,910,
697,831,034,716,218,690,114,922,092,745,370,781,794,322,462,766,894,960,461,
492,051,462,745,608,654,387,550,040,585,518,059,898,710,621,247,502,314,523,
927,980,167,969,847,850,010,428,695,080,849,335,886,420,237,103,138,140,326,
450,912,232,486,250,249,292,021,255,253,392,001,907,199,076,673,632,800,797,
186,546,069,595,172,077,391,405,068,880,550,168,305,584,752,970,126,338,928,
584,716,982,243,920,831,183,193,175,628,222,842,941,013,025,904,895,791,613,
763,118,352,415,938,125,061,518,211,686,172,300,027,770,804,195,435,275,278,
654,478,902,576,601,392,417,897,677,724,011,039,873,240,647,292,224,605,701,
614,109,616,921,524,929,323,976,657,326,877,242,588,602,846,431,352,617,474,
299,843,420,557,185,461,583,878,153,738,052,720,679,856,899,407,354,681,710,
644,450,006,616,927,752,990,665,574,738,660,568,559,602,653,604,536,237,508,
237,331,195,184,056,350,086,588,504,381,374,172,765,089,739,474,102,718,124,
437,089,154,643,902,551,254,855,465,457,286,939,408,505,591,660,349,214,562,
880,067,532,179,170,243,559,374,560,567,769,707,237,783,949,331,828,517,626,
719,697,578,976,136,683,749,604,004,027,034,326,063,529,109,530,372,903,542,
023,103,536,664,451,770,727,887,161,945,362,441,977,214,991,807,586,344,866,
550,718,382,097,480,953,507,205,223,340,822,140,501,314,685,576,893,542,392,
286,529,208,571,855,801,616,177,150,842,227,987,597,038,472,342,961,328,447,
815,122,098,661,855,039,349,063,923,924,675,626,055,499,161,796,665,693,262,
738,355,770,324,529,103,782,101,372,479,999,027,232,070,738,577,821,949,130,
951,452,391,641,595,753,310,489,688,736,320,774,255,709,067,319,688,299,917,
005,172,938,014,656,434,439,871,797,996,832,262,509,058,168,204,138,430,934,
131,441,997,239,816,936,075,545,786,450,569,220,803,232,377,863,301,077,821,
656,815,610,858,373,327,293,032,366,127,209,933,203,951,184,679,291,971,590,
134,888,154,470,714,539,844,469,229,509,531,087,579,554,329,137,827,185,106,
168,354,965,854,227,988,168,072,642,364,292,297,839,692,694,420,709,143,645,
950,985,777,910,296,677,357,469,521,068,855,761,939,502,142,333,473,617,531,
799,706,886,528,438,542,423,920,278,991,780,600,387,965,237,380,330,750,911,
740,604,396,956,006,255,853,124,959,846,016,914,455,953,023,757,118,192,820,
062,473,441,583,261,087,247,604,564,830,893,271,467,849,340,160,387,735,256,
877,087,856,687,446,193,964,977,337,472,142,895,227,425,666,026,384,311,597,
803,291,769,280,585,309,311,198,002,789,082,123,166,038,514,827,266,151,763,
417,190,197,447,079,998,043,731,645,969,845,764,198,843,053,749,699,578,478,
048,697,143,580,724,375,468,877,230,204,632,664,717,920,457,215,137,898,153,
959,096,762,085,489,693,436,904,038,476,484,298,525,779,081,627,257,398,347,
875,725,945,572,365,920,270,087,624,296,307,170,000,987,529,892,287,593,610,
515,482,812,676,568,766,895,815,996,423,622,751,912,533,818,782,245,691,067,
450,965,440,350,004,193,923,212,273,296,469,335,230,931,797,824,561,846,582,
906,927,122,614,590,017,696,250,206,839,586,993,469,866,723,210,589,551,605,
506,916,411,918,367,154,835,661,900,414,038,088,756,616,059,664,198,752,119,
332,992,472,737,486,183,562,158,492,551,062,318,680,620,845,554,430,267,587,
718,142,063,661,678,546,649,780,265,288,834,241,931,826,474,829,948,714,938,
397,988,059,866,942,512,399,616,747,270,089,112,512,749,528,132,993,816,985,
136,320,351,884,253,351,525,378,058,098,234,327,710,624,921,926,368,928,967,
228,152,440,308,018,577,163,093,906,462,544,582,202,827,206,470,085,814,223,
181,088,459,129,154,792,651,732,153,830,859,495,574,230,513,197,552,323,765,
913,433,610,282,906,831,490,659,703,748,835,599,698,077,302,556,065,060,198,
388,186,706,068,888,431,264,365,255,634,803,381,389,261,244,417,462,659,398,
691,849,099,154,242,953,753,334,178,229,361,544,028,970,569,480,930,645,468,
997,576,218,162,904,893,750,743,261,886,301,423,549,336,907,329,527,471,196,
458,696,673,759,241,277,325,174,583,954,086,015,441,847,823,996,634,198,357,
532,018,971,381,717,103,568,201,244,528,316,136,294,832,542,761,663,441,778,
448,134,618,771,121,764,026,340,076,130,718,285,328,547,783,739,827,230,995,
661,928,134,546,868,819,495,520,276,080,328,828,792,233,751,009,817,188,141,
946,791,261,553,893,163,003,860,516,769,682,742,340,766,194,554,856,602,068,
744,849,421,814,656,281,793,583,969,952,293,169,490,059,337,317,298,095,135,
107,935,950,349,126,369,924,401,786,883,367,289,062,103,804,620,711,624,990,
342,927,544,727,827,307,843,882,726,179,129,729,294,235,950,829,373,971,262,
318,919,766,707,612,852,266,983,160,841,182,295,766,559,469,061,439,211,058,
536,281,992,476,535,976,578,729,785,245,984,294,902,351,010,919,411,176,132,
144,123,604,333,692,453,464,429,722,463,949,850,715,093,690,854,475,219,273,
615,151,056,114,108,888,634,074,288,500,415,376,254,187,992,962,625,355,212,
656,786,416,569,188,626,145,521,700,797,317,163,509,637,630,603,637,399,222,
986,299,799,814,959,057,961,822,296,152,362,640,699,680,189,546,468,137,584,
719,107,069,201,854,159,614,148,511,541,160,910,108,627,577,067,929,603,491,
984,218,231,861,800,363,211,328,547,705,529,998,482,245,410,944,836,306,632,
714,037,043,942,373,064,003,894,192,689,502,464,009,901,007,464,579,942,099,
419,956,666,219,743,098,470,569,762,102,086,177,417,257,936,934,187,512,831,
609,699,243,536,150,112,777,978,399,834,248,665,252,229,313,090,391,346,105,
134,509,451,235,857,376,612,591,487,659,968,751,509,527,956,235,285,069,628,
160,464,984,348,966,205,244,715,153,294,081,574,028,642,474,480,806,402,994,
828,935,326,834,888,975,483,230,026,577,049,850,348,207,221,385,678,539,232,
248,393,798,928,139,289,518,080,675,538,702,603,807,528,442,115,875,481,822,
786,885,038,229,396,601,037,764,278,849,227,404,588,919,814,298,406,307,333,
634,444,868,325,155,779,294,149,993,641,948,680,434,218,648,160,888,326,677,
530,554,310,101,656,973,373,158,109,710,542,387,980,015,530,889,096,682,241,
913,072,567,832,144,421,458,696,765,571,536,755,360,132,468,100,820,788,553,
093,110,629,636,238,196,177,401,155,076,989,089,112,274,558,236,372,870,693,
568,643,035,019,510,160,303,382,626,272,757,169,995,000,572,725,434,668,912,
211,402,540,831,645,439,603,766,705,217,878,939,836,734,368,139,386,420,065,
015,847,450,433,032,717,873,159,724,459,117,053,610,981,644,955,170,265,990,
995,173,527,761,890,773,190,375,462,918,705,213,198,297,976,918,987,353,298,
486,652,609,323,831,806,442,607,073,657,718,880,661,441,463,215,082,116,754,
448,616,841,769,597,136,959,359,317,599,192,200,484,858,575,747,574,183,464,
061,149,794,001,689,363,228,606,735,704,005,085,086,871,157,153,393,647,829,
335,545,100,389,284,951,197,263,842,481,485,140,581,806,745,860,943,801,426,
488,152,184,553,666,856,778,985,303,488,800,982,452,227,534,849,301,238,403,
620,780,247,779,427,775,374,022,035,663,532,707,582,232,031,721,707,262,948,
900,519,655,582,995,879,447,824,040,378,974,407,386,828,754,818,735,792,160,
596,068,163,559,075,596,400,027,331,701,342,819,493,176,201,749,055,852,873,
415,312,245,938,665,492,301,666,555,798,104,126,298,360,105,483,730,099,218,
103,500,173,018,517,707,549,474,515,368,071,694,123,605,430,709,856,280,250,
087,092,180,868,595,161,184,855,483,315,650,606,768,404,274,273,505,372,131,
752,574,717,976,305,122,171,284,387,339,118,852,009,322,235,541,717,474,519,
774,439,648,115,011,726,022,224,736,429,009,943,165,235,440,874,501,640,930,
748,217,944,427,418,654,103,062,460,693,324,623,343,518,856,960,898,902,903,
672,809,615,910,587,025,453,504,558,780,898,757,980,811,665,172,564,998,291,
766,848,492,552,492,344,139,621,650,143,006,886,622,943,512,258,430,534,085,
188,893,723,596,505,908,078,004,742,766,232,535,983,245,936,588,272,584,364,
831,044,485,972,586,807,734,008,933,533,557,929,833,410,877,948,017,157,246,
497,207,214,564,664,819,651,161,024,756,865,111,924,232,021,217,769,163,335,
736,063,603,043,790,217,030,948,108,757,705,973,329,407,085,103,713,275,315,
234,474,850,295,790,924,273,852,386,851,934,121,362,492,282,805,176,004,999,
961,724,862,097,740,991,893,057,122,474,442,976,605,109,608,441,071,970,178,
786,902,027,008,316,108,059,193,780,178,687,172,659,457,834,413,336,245,345,
483,777,683,912,920,441,135,011,282,868,012,528,810,212,284,211,697,728,147,
719,635,128,333,341,133,944,858,858,780,846,476,885,046,275,956,918,883,657,
592,948,797,273,165,103,843,531,800,206,953,546,753,589,650,918,014,026,209,
864,386,444,297,097,500,909,854,187,840,917,436,833,679,019,217,339,940,617,
098,763,209,949,341,811,304,092,820,048,721,590,227,983,388,556,900,732,357,
635,245,595,287,224,417,172,563,663,103,401,010,248,653,436,496,197,989,948,
948,313,662,722,101,753,512,503,198,322,910,288,610,280,002,801,271,052,797,
131,985,607,852,199,945,081,709,834,459,617,129,805,186,685,704,866,589,865,
048,672,302,658,676,404,166,976,588,669,907,683,980,246,647,910,831,974,980,
684,075,546,291,818,011,609,036,626,113,212,279,623,279,393,114,050,896,863,
368,538,337,990,659,291,757,810,751,360,331,124,214,322,462,974,347,385,794,
494,671,239,876,829,541,373,761,848,753,674,598,790,025,612,789,577,539,832,
455,360,398,945,228,271,502,574,167,319,574,066,781,060,036,807,250,853,151,
692,185,830,945,970,352,437,701,246,351,451,626,523,424,376,527,615,886,686,
126,085,194,844,568,306,360,396,109,026,828,859,776,924,226,768,274,658,513,
360,780,834,974,634,852,402,421,359,510,224,868,463,357,250,753,619,276,066,
364,385,604,649,050,431,724,572,564,927,663,684,817,210,356,838,941,449,048,
623,899,387,324,330,538,752,968,889,784,598,566,935,893,223,424,633,676,939,
622,249,902,806,355,641,836,426,068,413,180,785,661,130,646,122,922,312,919,
601,997,384,701,479,044,602,890,394,053,146,157,481,635,139,734,597,415,986,
738,042,118,009,809,570,547,428,641,621,668,155,448,191,132,733,387,946,096,
892,824,705,444,923,427,913,237,675,287,324,581,830,440,956,034,204,928,859,
580,034,202,348,948,726,044,531,791,182,314,355,845,711,066,997,280,221,404,
600,821,255,557,446,085,740,854,092,147,617,213,913,058,180,377,269,300,302,
031,741,313,462,616,077,949,253,651,873,883,693,366,389,339,192,048,403,324,
365,526,194,949,901,930,734,281,295,600,675,758,591,833,560,530,731,191,368,
247,535,831,687,183,702,054,686,371,326,965,711,372,805,280,991,079,666,762,
600,165,270,065,790,279,094,861,944,514,620,472,373,962,905,757,118,734,671,
849,057,987,116,651,155,122,479,702,935,741,497,307,730,798,294,988,363,126,
177,760,876,088,331,710,942,670,543,732,601,387,563,191,997,325,144,144,153,
600,830,026,005,764,014,972,218,854,091,218,506,594,173,069,520,932,078,959,
975,701,919,585,384,666,732,861,935,078,751,253,423,448,501,441,501,918,905,
391,139,854,702,768,300,202,502,448,450,419,354,171,932,549,218,124,727,823,
133,083,234,124,874,419,889,910,083,176,461,517,645,244,328,224,540,478,739,
781,112,675,275,133,665,227,018,484,131,993,696,246,234,252,381,528,117,158,
969,426,943,703,628,529,536,629,624,646,883,022,743,425,467,006,587,339,789,
766,259,645,368,788,707,110,290,531,335,669,082,607,355,857,804,025,003,104,
415,799,742,476,560,291,205,363,772,993,270,245,127,974,610,572,144,222,648,
326,877,100,535,579,504,861,175,760,809,522,176,719,976,524,392,454,225,185,
428,611,838,938,457,931,937,269,845,455,737,734,460,194,814,368,861,853,983,
508,549,642,367,393,800,027,031,446,356,311,530,439,048,115,196,725,479,224,
037,488,959,220,525,438,209,925,627,493,908,626,421,710,623,558,839,057,195,
944,084,984,285,071,275,324,251,381,381,837,247,951,426,129,448,705,331,774,
910,560,948,752,589,098,269,570,489,451,245,871,828,609,107,163,270,812,155,
508,415,660,911,824,464,450,832,992,149,671,587,919,949,592,052,577,748,890,
721,626,588,275,129,015,983,175,489,175,657,635,543,091,240,275,831,370,164,
364,532,604,742,229,451,989,342,179,187,519,124,769,067,757,525,753,475,367,
775,081,438,885,654,996,594,631,078,486,321,191,197,399,932,571,278,604,468,
606,310,825,367,727,148,337,498,633,740,717,405,040,045,193,647,871,549,139,
952,427,566,895,360,341,901,997,967,400,109,788,818,995,126,157,257,140,001,
207,390,933,737,497,320,697,286,459,415,583,713,553,538,726,018,366,722,160,
260,800,544,724,796,169,334,174,503,472,202,714,653,458,023,141,272,346,801,
494,890,987,907,642,705,033,897,361,745,586,277,243,645,986,093,286,105,203,
609,119,332,480,956,096,232,819,826,689,527,336,694,368,518,842,197,811,825,
170,341,543,262,776,492,100,920,790,937,953,912,230,222,706,145,163,545,752,
013,308,886,617,328,327,939,631,031,273,135,017,422,511,184,898,020,842,768,
140,866,077,781,684,659,959,902,912,616,162,183,524,406,978,156,391,146,939,
110,010,261,579,985,695,915,364,470,222,357,105,413,617,390,638,141,177,343,
110,641,904,532,585,759,948,460,450,208,688,945,470,332,297,590,367,117,715,
508,233,869,712,120,529,956,869,138,529,564,186,854,444,018,311,576,759,510,
433,787,415,228,180,211,062,852,227,658,623,026,610,768,808,106,137,698,383,
495,482,227,351,217,258,890,483,716,835,720,974,898,029,331,091,227,698,812,
782,520,943,577,027,216,075,819,589,263,462,846,677,462,025,220,183,550,794,
920,686,515,264,550,664,244,501,329,731,702,542,229,310,018,278,013,612,030,
884,794,079,790,129,730,672,739,257,016,601,999,817,468,239,548,350,998,066,
865,448,291,292,624,728,013,159,483,504,717,170,254,555,498,793,228,660,997,
881,516,564,559,716,262,372,047,007,208,235,897,206,109,403,646,831,121,896,
940,604,492,274,081,714,533,559,857,842,282,396,822,735,689,242,350,287,312,
572,849,011,365,175,264,961,422,924,578,531,860,296,981,041,828,542,543,071,
668,133,057,881,147,929,166,658,111,395,911,157,117,950,991,039,960,920,660,
093,221,155,296,433,836,089,891,083,615,090,430,770,340,649,869,001,248,714,
826,676,732,075,600,974,119,761,893,674,593,594,518,235,846,009,329,838,349,
755,551,446,318,756,017,321,919,225,911,548,655,929,633,012,565,868,774,087,
331,828,516,095,877,438,757,131,499,306,661,983,714,483,993,518,255,473,136,
199,008,302,507,527,940,578,963,981,444,750,531,956,675,905,979,131,144,680,
400,288,331,979,443,815,573,976,210,128,158,013,056,305,653,730,551,313,880,
643,782,536,384,862,371,421,331,600,859,468,461,182,117,811,868,093,794,976,
829,170,062,369,017,245,659,238,169,094,899,216,082,771,309,511,816,781,511,
372,153,733,291,493,009,483,430,117,649,339,935,996,553,385,410,191,795,047,
097,176,478,612,063,590,039,887,500,522,380,603,569,369,764,677,822,366,221,
778,672,147,553,088,932,884,805,267,197,623,387,327,058,525,830,663,358,085,
155,818,698,137,013,465,694,247,660,725,445,478,628,532,968,943,794,837,307,
411,101,818,777,551,350,625,804,117,366,633,096,585,925,038,735,196,111,862,
153,533,252,360,944,925,811,886,061,908,111,450,363,334,206,548,308,083,876,
886,471,358,132,697,064,669,574,741,893,300,305,855,428,713,369,143,539,863,
291,244,682,404,262,477,445,289,902,087,157,184,987,283,596,622,288,455,819,
918,033,407,102,654,266,659,957,300,137,815,413,927,486,068,640,857,219,976,
713,861,808,949,568,184,374,109,225,074,324,463,762,297,824,354,980,422,052,
784,535,363,915,157,318,835,164,514,261,540,757,673,468,069,431,603,138,833,
406,116,190,686,455,013,996,746,823,105,431,321,958,238,072,067,419,431,988,
767,818,087,179,349,897,665,126,970,132,853,792,584,690,114,725,704,956,507,
709,875,131,278,469,704,676,266,771,148,590,158,683,117,395,083,928,265,049,
895,526,217,519,699,071,633,056,044,652,822,186,253,253,116,315,375,851,484,
410,136,820,055,602,255,790,529,079,736,839,920,518,298,526,081,745,002,608,
124,895,204,609,064,014,228,025,541,711,647,886,414,230,826,959,196,823,951,
612,199,362,321,652,675,355,083,071,872,621,535,124,483,279,815,831,496,081,
389,286,576,867,600,126,008,373,493,489,128,837,973,786,591,632,795,908,916,
014,468,191,541,843,780,578,523,921,953,274,831,433,873,740,183,008,785,496,
545,439,048,556,525,445,202,921,949,129,542,003,085,580,580,972,739,529,632,
024,914,659,268,374,392,348,744,254,034,117,128,421,336,962,692,313,831,520,
986,529,309,517,670,765,156,018,981,096,366,882,073,153,598,898,252,103,373,
870,286,058,190,054,212,094,617,991,266,070,814,299,269,651,430,941,025,049,
462,612,737,946,310,051,527,099,614,841,120,432,667,743,544,383,506,761,131,
194,528,143,816,164,478,894,909,283,375,798,551,746,640,646,109,037,526,048,
724,415,116,245,398,862,197,491,504,835,246,440,506,960,875,704,377,096,446,
164,296,018,096,219,662,183,451,870,091,719,471,802,903,471,567,264,577,499,
324,141,164,721,856,875,088,915,571,080,859,935,568,595,186,181,874,958,368,
824,340,527,855,105,522,366,092,704,541,061,839,355,766,562,970,946,594,554,
277,927,232,900,437,870,092,131,006,560,150,616,444,015,025,373,420,519,925,
463,786,487,992,156,260,133,955,286,504,354,514,175,208,990,574,598,340,186,
312,568,859,819,676,235,795,048,835,745,101,443,331,607,245,112,416,139,949,
958,304,739,937,983,301,805,963,404,832,651,562,680,147,521,875,757,412,785,
770,894,242,189,102,426,423,549,154,834,603,131,537,015,149,852,588,297,534,
889,768,283,637,051,764,796,672,762,607,589,600,544,000,148,233,788,461,559,
659,557,128,183,377,922,451,036,814,357,385,376,316,920,294,308,753,641,457,
230,901,502,415,824,134,025,163,631,149,714,033,764,296,886,643,942,379,329,
798,452,221,555,006,177,831,191,818,697,920,795,205,547,378,663,919,852,698,
441,645,664,433,951,375,689,874,962,056,952,065,998,654,183,374,548,985,541,
937,977,143,342,707,475,776,852,668,102,713,420,902,326,130,073,428,902,521,
992,586,831,701,735,301,202,874,741,333,628,244,977,545,261,870,836,374,522,
171,358,266,614,342,030,202,681,157,376,011,775,098,478,279,832,759,004,406,
764,413,396,386,299,767,697,471,009,949,505,588,634,038,317,432,606,033,391,
833,763,510,095,317,952,309,863,355,716,761,751,334,105,194,888,798,993,988,
160,064,991,334,601,793,097,260,291,377,988,196,174,510,732,788,052,482,686,
577,009,620,601,476,354,831,543,367,642,893,384,579,796,396,872,277,693,868,
066,782,929,003,242,476,236,370,492,801,646,494,334,411,264,523,769,389,760,
866,259,652,953,965,315,187,272,760,667,181,697,832,026,262,173,915,911,360,
781,667,040,847,833,308,954,461,727,399,987,517,698,711,150,983,799,113,675,
620,321,296,608,686,917,929,166,506,590,865,788,224,712,240,777,082,642,427,
821,123,922,229,891,725,496,672,590,847,041,231,411,624,116,957,980,681,863,
415,724,077,981,309,295,224,477,223,183,958,918,539,554,010,407,608,954,358,
308,696,240,138,526,426,886,353,221,788,065,785,274,548,695,374,381,299,371,
617,914,217,596,223,941,160,849,496,122,476,171,613,832,174,427,598,341,914,
645,051,351,778,232,192,156,087,356,864,354,866,814,140,335,602,353,110,408,
767,360,155,136,805,789,513,428,322,301,780,335,343,800,037,347,815,998,257,
698,801,302,195,790,968,263,751,214,471,765,272,291,079,913,352,346,978,321,
774,650,789,580,110,510,168,739,281,038,508,418,700,084,326,014,312,504,280,
344,636,461,248,749,465,335,007,112,832,381,235,518,722,293,058,600,159,231,
668,959,618,600,892,880,588,573,940,638,432,758,225,575,511,667,638,651,196,
605,478,581,021,131,044,688,549,635,862,017,384,888,600,948,542,398,246,423,
995,002,013,786,006,670,062,757,033,391,532,882,567,145,520,946,318,115,336,
479,090,056,940,315,287,651,934,051,238,656,600,517,071,848,102,058,083,642,
087,500,002,293,603,081,053,829,379,226,090,586,146,621,330,967,650,770,182,
035,221,144,283,225,971,409,380,095,002,412,709,832,152,792,670,303,037,991,
228,069,852,129,551,887,684,730,990,161,797,949,695,576,315,071,083,476,613,
059,135,217,079,048,721,770,837,585,010,941,801,409,170,886,540,300,564,961,
048,960,300,244,513,851,999,459,902,357,497,092,005,613,918,708,448,605,907,
498,580,934,757,698,974,087,861,033,481,798,806,653,745,482,228,593,729,382,
783,897,713,840,807,207,986,629,142,273,113,310,672,960,767,890,841,298,894,
666,794,770,594,945,266,706,908,050,376,750,271,967,285,989,602,198,047,037,
206,652,313,380,302,692,039,239,356,056,600,992,638,089,567,805,251,819,738,
770,515,147,266,857,166,661,439,904,354,032,540,865,361,685,856,695,900,899,
090,856,271,353,161,749,287,284,206,592,461,038,484,475,280,483,039,883,893,
410,729,844,591,447,722,459,539,241,760,431,955,631,208,440,004,335,250,080,
271,424,916,072,745,135,838,293,846,527,150,411,798,178,093,099,808,176,061,
223,177,260,592,024,312,061,879,089,988,157,884,503,915,936,360,035,241,420,
707,316,993,659,774,927,568,147,619,052,477,717,831,879,923,911,350,357,531,
747,943,061,333,275,109,561,784,223,607,112,235,688,654,330,707,842,286,630,
736,836,114,058,591,941,791,901,094,220,237,968,563,846,338,309,065,621,848,
765,637,548,562,172,100,161,137,803,425,712,454,070,291,564,013,961,953,269,
923,101,391,606,700,821,952,012,528,110,112,368,677,727,333,781,379,942,111,
405,746,846,138,817,667,586,508,009,227,403,282,046,457,576,882,471,714,558,
779,094,145,507,080,588,544,465,792,901,506,930,197,791,928,402,367,928,226,
064,028,470,150,903,550,271,639,452,545,909,376,895,592,885,922,130,988,097,
271,138,260,532,535,311,654,892,883,533,540,872,785,498,420,182,483,068,017,
400,678,180,508,142,029,817,516,476,217,887,438,117,087,584,345,022,389,751,
755,612,940,930,105,847,833,683,271,135,810,514,388,185,947,922,287,288,911,
546,487,655,553,187,954,627,502,813,071,177,381,319,330,893,274,253,932,226,
702,694,937,092,911,773,553,138,908,267,040,443,820,886,133,304,448,984,016,
365,040,054,186,356,236,170,145,686,258,439,218,604,333,141,140,577,643,500,
188,058,530,931,669,774,776,877,344,006,567,610,398,676,083,770,652,393,241,
732,182,101,961,006,862,439,667,397,793,720,520,477,183,641,625,191,622,913,
053,865,188,663,523,773,723,751,781,162,894,733,804,499,813,460,627,568,903,
048,032,622,666,942,112,120,272,564,560,863,127,887,088,471,176,204,022,816,
209,574,718,494,212,545,802,351,112,272,872,741,352,579,748,403,207,181,780,
355,401,475,520,833,714,816,767,376,646,664,948,119,299,596,255,270,200,527,
653,182,584,619,294,760,611,877,048,414,828,512,103,248,384,570,310,023,248,
831,613,433,807,953,017,057,301,038,317,899,428,440,287,713,813,347,680,752,
520,465,609,822,875,801,726,983,883,330,252,276,478,090,621,759,061,045,331,
557,861,683,756,654,673,458,992,871,464,427,137,211,386,401,064,064,466,482,
499,799,449,563,521,262,183,069,446,343,902,246,312,982,636,376,848,014,745,
564,231,617,107,484,122,838,822,717,665,601,984,339,544,630,646,364,758,397,
332,609,250,934,582,191,147,243,987,603,020,285,778,304,901,522,418,059,781,
932,846,780,483,831,781,875,253,369,735,833,563,503,923,612,866,515,095,996,
311,690,943,991,121,916,587,485,165,676,122,777,044,784,575,608,967,820,617,
685,856,776,989,171,930,946,067,325,502,353,276,881,256,604,819,579,275,230,
476,602,981,223,659,557,615,854,789,034,779,573,446,655,978,491,429,266,562,
250,546,790,239,886,255,447,885,718,465,621,772,708,514,883,601,757,219,051,
882,211,496,411,260,236,463,172,432,696,986,532,773,694,463,174,032,321,612,
291,424,092,810,118,928,120,622,606,329,405,851,607,852,077,498,787,818,936,
278,400,971,869,349,956,214,238,799,650,078,434,110,331,944,908,431,152,042,
400,365,891,637,725,002,221,640,978,350,628,395,506,476,303,608,491,732,560,
316,029,007,014,654,712,719,018,570,005,235,121,642,731,552,387,944,831,375,
194,416,935,964,665,252,904,894,656,273,483,326,102,093,338,466,539,850,626,
951,563,780,522,965,060,348,543,975,586,186,122,018,600,098,179,647,737,706,
504,852,318,156,047,852,830,715,880,795,009,212,124,758,692,540,386,234,834,
506,910,573,144,694,993,886,609,068,392,047,063,672,289,040,614,182,792,799,
965,149,346,553,963,434,674,587,194,193,988,304,549,287,831,827,013,227,774,
127,030,183,330,407,110,007,732,098,119,511,879,203,191,556,481,393,010,365,
107,607,514,558,762,110,914,960,154,053,104,208,649,024,463,139,044,983,499,
908,482,565,776,277,282,565,828,888,035,872,661,815,778,397,786,221,979,020,
351,635,412,578,606,098,383,002,522,171,883,672,030,643,889,015,804,229,277,
768,529,425,564,991,805,398,954,342,588,166,114,690,402,338,365,386,652,452,
322,821,860,089,648,263,749,303,185,942,568,157,982,853,539,635,255,194,605,
391,312,706,520,716,117,909,317,616,524,171,777,291,213,637,665,229,364,689,
961,747,111,388,494,321,441,170,280,976,631,081,091,133,295,969,935,637,737,
931,769,149,742,091,824,013,303,129,825,641,120,371,827,606,951,796,304,789,
655,004,049,571,204,657,968,693,352,528,631,739,794,578,169,742,700,863,215,
696,193,608,249,907,592,930,460,780,661,835,255,279,667,772,167,005,562,144,
883,134,508,061,375,106,854,805,326,697,722,074,526,748,683,853,264,622,188,
800,501,437,504,804,299,278,136,826,950,945,248,770,319,563,368,186,878,587,
394,816,055,288,588,434,064,575,632,358,707,496,375,570,642,595,853,412,187,
136,895,365,287,069,443,978,157,361,639,410,780,114,393,623,612,990,203,018,
219,899,217,621,554,235,824,677,964,723,423,434,087,011,292,145,362,585,149,
393,952,522,193,836,620,743,970,666,425,933,542,028,967,816,728,739,358,211,
927,096,816,066,665,401,085,181,759,500,784,805,813,966,749,318,008,994,101,
246,235,491,261,862,661,793,260,362,287,091,944,601,952,917,845,518,998,075,
845,249,530,724,114,961,449,780,826,615,531,227,612,776,589,729,952,876,842,
810,391,970,409,701,939,980,414,472,604,521,062,465,994,974,857,324,263,312,
341,213,187,164,994,632,328,994,096,986,854,366,938,490,234,296,368,386,064,
814,539,939,013,569,511,428,762,585,942,073,054,411,883,370,005,671,264,400,
050,688,229,347,253,000,120,027,634,337,280,010,567,248,747,722,571,907,547,
911,702,987,958,334,643,904,035,693,147,798,544,288,765,286,077,023,257,402,
750,127,164,856,525,652,647,606,954,270,795,917,007,859,338,181,672,017,985,
510,436,472,707,581,126,808,510,646,544,047,370,099,273,403,807,681,110,440,
613,755,256,582,566,910,457,138,357,247,930,585,679,997,592,652,075,955,507,
257,727,575,287,069,744,728,407,289,030,409,862,238,078,705,634,295,243,344,
985,529,353,124,043,839,945,288,625,319,689,898,367,750,110,076,168,815,489,
450,348,243,677,267,437,980,705,270,132,384,920,002,052,664,490,221,105,565,
562,908,485,160,958,417,878,273,177,638,473,888,703,499,983,470,824,928,880,
271,115,436,839,848,176,692,538,349,754,507,183,459,785,232,587,333,723,559,
876,738,309,938,103,784,092,912,994,536,884,895,076,154,220,006,695,419,646,
331,894,679,976,344,714,611,945,504,417,504,147,506,354,240,357,680,571,157,
044,790,825,490,824,821,573,260,413,264,475,899,287,036,950,656,914,419,314,
273,542,624,691,750,874,552,185,489,635,589,685,282,817,579,822,165,637,826,
944,959,386,025,732,432,941,475,863,410,603,615,080,915,484,581,696,244,641,
215,534,509,603,777,431,981,656,242,373,345,139,921,600,306,622,309,161,759,
365,684,071,445,370,767,396,387,785,068,145,644,730,494,591,455,831,215,012,
019,201,575,277,676,852,217,130,868,709,017,537,840,186,706,822,439,893,650,
135,831,053,901,596,553,852,019,127,093,917,909,869,754,907,253,644,730,652,
304,216,969,082,810,391,208,497,436,222,308,410,461,666,822,216,408,037,932,
222,388,819,877,690,433,764,848,990,862,455,059,769,846,279,906,018,390,213,
628,950,785,646,436,164,512,580,381,614,560,923,552,396,400,873,970,560,643,
678,782,027,915,771,416,216,346,226,960,915,747,128,863,502,405,004,045,019,
686,377,334,415,493,100,810,625,319,495,210,811,082,402,102,944,087,216,144,
139,480,063,945,618,761,725,339,362,070,858,333,011,373,853,098,122,773,722,
085,173,207,703,975,763,205,644,462,038,441,560,820,560,107,447,948,664,172,
482,110,176,666,897,448,343,188,684,837,123,391,051,135,615,167,006,385,694,
317,520,622,441,021,228,878,269,032,728,399,615,797,824,390,941,307,613,818,
606,450,197,773,087,981,998,200,090,542,704,707,237,698,571,700,420,379,540,
942,090,735,783,566,807,752,347,107,939,745,160,594,379,494,551,139,165,922,
465,973,046,669,042,573,189,756,111,780,639,082,630,310,318,379,026,764,408,
019,323,343,943,459,399,683,673,412,224,235,689,125,746,697,675,947,027,199,
250,434,318,222,976,583,498,338,829,101,115,156,352,351,271,795,961,461,364,
034,055,385,409,740,115,978,097,687,419,161,120,013,330,790,462,305,965,705,
197,041,325,714,667,214,604,884,363,480,844,446,301,211,087,651,008,610,599,
258,480,721,834,823,835,310,760,013,247,019,559,614,471,042,374,702,499,585,
867,114,200,513,786,803,899,042,026,944,141,689,902,584,913,682,361,383,697,
564,639,890,389,642,133,399,366,750,807,526,251,733,625,821,172,651,827,511,
302,825,045,887,009,289,875,848,254,571,619,049,081,618,492,598,444,445,031,
390,602,428,039,567,873,062,540,408,513,438,741,688,475,548,639,921,828,253,
260,182,301,227,550,646,290,327,594,909,682,457,835,324,015,515,194,300,300,
944,632,432,956,867,685,309,253,908,201,370,367,412,274,149,631,558,305,202,
137,005,465,099,680,523,227,669,917,650,224,756,015,594,342,986,641,634,699,
726,394,536,210,598,165,403,009,687,422,338,755,320,594,545,454,790,704,061,
628,013,658,034,586,124,057,993,396,301,863,344,497,547,584,047,798,182,663,
337,870,939,994,193,606,641,296,651,536,061,104,316,603,326,820,432,434,724,
869,015,924,917,084,790,045,945,544,218,855,249,828,796,324,220,027,659,813,
832,519,909,853,377,332,803,751,198,138,735,161,027,913,338,325,671,507,117,
777,043,311,906,445,542,095,876,147,657,114,700,871,685,572,848,594,433,388,
811,440,479,338,085,260,872,022,304,908,864,860,905,174,296,726,492,103,083,
474,355,402,101,471,844,032,264,178,762,623,415,982,980,524,701,414,292,908,
810,263,837,788,234,694,905,271,108,820,805,456,575,163,153,732,068,924,389,
452,361,013,815,163,869,229,310,617,770,084,373,579,127,240,888,320,118,297,
078,762,419,676,817,637,757,995,074,636,815,109,032,222,432,066,577,830,665,
749,626,606,388,223,947,313,246,810,669,840,535,136,625,725,786,277,910,022,
643,507,632,186,223,052,473,359,956,133,835,392,559,237,402,623,367,054,736,
397,059,742,842,088,527,959,038,825,161,417,599,495,067,522,532,235,373,821,
001,525,691,176,341,251,405,078,232,509,414,792,555,427,938,294,768,623,854,
474,235,566,408,631,015,385,720,100,402,378,146,911,183,549,453,160,747,317,
697,402,578,057,509,466,561,705,070,036,230,350,711,279,287,935,400,661,466,
164,797,250,808,171,669,760,324,986,544,051,428,363,119,928,889,148,271,417,
255,796,383,015,224,258,572,389,892,201,067,015,288,095,219,613,401,978,814,
098,887,992,603,723,312,303,280,369,656,451,285,648,975,201,729,348,755,835,
606,047,460,359,861,465,104,063,843,216,112,436,716,121,302,010,746,421,963,
070,952,683,022,190,616,176,397,956,339,109,533,656,801,234,462,703,816,332,
503,179,616,064,565,458,502,651,555,485,589,230,924,582,388,189,694,813,549,
751,368,989,654,877,739,037,935,296,077,361,921,604,812,767,270,106,244,936,
366,336,149,610,921,489,864,768,570,644,911,553,209,665,579,014,147,463,868,
438,153,954,138,544,852,547,597,307,806,549,244,805,461,485,284,088,557,724,
359,816,600,695,388,772,657,657,632,367,249,849,844,573,633,265,513,445,140,
855,329,758,422,648,148,755,554,835,755,938,494,052,980,663,759,539,721,947,
408,687,459,624,127,695,950,474,709,332,797,122,634,442,246,906,009,740,489,
534,085,862,967,954,287,725,148,019,272,039,414,740,453,244,173,738,963,567,
007,553,901,831,635,416,251,799,536,203,703,453,062,330,420,846,413,397,698,
697,420,629,956,831,398,223,255,231,500,036,037,554,031,605,224,109,636,205,
934,682,424,917,574,182,092,240,566,276,786,935,732,687,363,755,327,933,518,
508,694,330,159,116,518,158,782,898,937,817,800,184,400,835,645,121,272,106,
117,067,081,563,416,911,194,767,121,612,093,234,671,101,306,397,607,890,370,
384,185,509,446,203,395,086,088,009,265,861,493,480,150,932,439,820,580,601,
693,160,574,507,544,407,105,422,220,441,976,496,842,266,887,137,806,978,928,
267,162,645,125,493,800,394,224,627,208,242,417,489,307,778,773,591,079,950,
261,302,293,289,361,010,415,383,885,015,058,431,103,415,579,795,269,452,692,
115,462,586,615,767,903,736,494,323,006,717,571,091,281,677,654,303,246,367,
392,874,150,040,431,764,194,882,094,365,203,088,770,298,772,385,365,420,316,
864,742,609,872,644,679,206,196,227,375,262,701,213,176,472,761,311,706,114,
170,786,133,436,466,913,117,494,963,922,702,826,412,882,898,497,455,971,516,
942,370,317,327,964,115,392,399,491,083,695,068,844,553,691,874,970,426,050,
706,581,265,923,488,496,114,592,503,247,527,413,400,135,003,357,620,296,351,
826,605,106,994,737,044,183,991,420,578,986,553,323,486,137,442,491,312,430,
521,267,429,333,945,864,364,929,439,054,013,923,986,672,563,176,843,583,644,
913,712,193,934,107,080,535,878,128,819,374,087,423,940,388,824,010,438,141,
460,865,160,618,751,405,621,910,994,081,555,280,702,750,948,162,462,957,800,
765,483,414,095,911,620,901,497,636,048,209,142,846,557,997,400,973,019,638,
863,927,586,606,372,453,674,762,735,677,122,346,018,932,655,266,289,182,365,
633,803,301,775,898,269,573,138,450,529,432,556,110,608,476,790,957,703,354,
974,635,623,472,165,227,572,877,958,973,227,442,922,070,408,840,583,208,956,
833,593,292,916,548,146,552,573,658,884,807,047,456,212,801,794,079,516,843,
241,451,636,134,426,424,329,659,332,956,524,935,033,131,894,766,042,836,225,
601,185,718,209,664,887,004,190,555,477,739,032,035,611,983,360,289,121,153,
948,039,262,492,260,191,078,433,939,069,757,842,924,826,130,201,887,442,990,
613,099,459,832,054,470,662,887,612,335,397,789,797,621,200,349,475,079,539,
611,995,266,657,027,569,848,663,395,036,115,137,736,387,554,334,534,162,497,
814,922,394,674,150,167,174,929,449,437,062,257,820,888,487,493,334,371,495,
661,458,500,913,093,192,415,004,093,185,616,884,969,714,238,556,619,278,314,
028,056,823,906,362,069,448,072,477,168,131,776,850,396,089,788,229,911,182,
266,635,280,085,127,981,669,974,500,010,408,813,443,225,119,789,063,884,898,
065,678,597,462,673,667,614,423,884,219,509,492,033,065,625,929,885,474,130,
681,665,067,596,260,251,988,666,028,211,187,194,134,116,644,614,042,192,211,
914,896,719,032,383,461,390,264,470,573,220,674,984,914,717,575,927,789,173,
539,606,962,361,123,876,444,979,419,429,521,164,653,205,859,168,846,160,229,
962,635,715,668,602,450,352,889,550,518,335,217,367,892,359,818,477,471,321,
383,660,248,773,032,418,743,346,877,111,077,646,033,254,686,072,316,534,336,
650,812,436,594,470,217,136,669,166,289,452,769,981,992,040,584,952,240,063,
769,002,923,952,600,974,760,515,497,525,711,088,969,382,838,351,773,713,939,
590,435,355,835,627,622,298,241,201,081,025,944,711,618,986,518,982,010,087,
189,649,622,697,339,820,379,050,354,171,500,006,245,091,746,915,212,573,919,
380,726,400,145,426,720,922,499,657,430,072,606,714,282,657,029,026,435,220,
428,610,583,718,299,120,611,972,307,252,649,906,389,032,548,103,860,028,720,
276,570,911,587,935,946,730,087,506,486,311,048,053,089,790,880,896,134,029,
411,958,277,019,386,144,825,563,686,838,948,102,355,625,096,932,179,535,967,
734,549,797,092,821,923,967,482,279,889,616,108,541,359,323,840,947,623,671,
060,609,091,802,152,030,801,133,516,429,286,384,582,838,835,030,072,637,633,
834,338,257,275,401,475,109,053,240,807,848,025,088,742,658,624,912,424,054,
183,393,798,954,530,518,977,889,417,281,482,128,905,074,184,997,421,863,004,
510,943,849,967,777,607,299,801,372,781,475,246,836,024,288,382,803,856,611,
124,621,561,189,858,196,612,669,321,079,499,893,180,874,985,377,353,356,633,
488,496,077,824,003,023,243,294,536,068,560,106,924,714,680,897,071,748,048,
179,313,920,772,611,994,297,661,930,780,351,188,570,838,907,174,393,308,571,
472,823,068,663,162,841,012,932,240,036,131,270,740,784,670,350,594,622,815,
209,796,993,944,504,271,491,204,939,163,903,998,013,003,626,555,171,097,160,
508,733,704,441,144,294,941,474,817,719,712,857,000,784,919,229,374,030,451,
547,422,490,998,261,534,710,551,658,893,357,763,494,179,659,914,108,902,446,
058,663,602,318,148,431,728,356,061,428,087,170,500,848,425,536,972,183,401,
293,310,328,577,120,660,862,610,116,702,456,785,989,648,305,317,439,346,054,
198,400,174,803,807,351,452,200,297,980,772,578,485,702,307,094,315,496,244,
703,566,645,407,429,383,988,399,100,902,735,285,032,111,920,009,735,127,349,
250,554,433,231,661,025,079,802,489,632,064,171,199,870,056,288,460,968,256,
375,514,206,181,158,691,709,603,406,094,029,473,038,137,301,050,767,770,230,
528,115,356,196,101,470,937,564,138,723,973,994,177,732,870,325,143,165,594,
098,447,295,801,416,231,411,526,716,275,851,526,728,406,612,813,378,697,246,
108,791,774,054,636,087,201,697,657,122,871,726,606,192,652,479,867,309,419,
233,455,747,634,674,828,329,208,662,744,749,087,816,548,460,724,940,412,771,
504,522,281,923,188,134,093,575,692,731,589,210,153,951,516,633,243,034,593,
408,874,071,341,731,761,063,497,680,127,846,746,513,964,085,797,210,133,728,
975,307,187,974,731,888,129,069,146,236,456,116,917,817,381,671,686,931,350,
579,067,779,005,479,525,513,209,954,366,937,017,702,935,550,025,349,521,774,
969,539,823,324,254,725,013,446,255,783,675,029,979,217,488,063,699,656,001,
656,535,014,760,231,145,642,054,850,565,707,205,925,403,833,619,039,169,713,
338,289,971,620,463,463,940,530,010,748,299,554,609,009,106,689,918,886,099,
748,458,767,243,178,654,591,058,544,737,066,216,867,238,019,506,719,775,521,
976,420,688,357,983,235,809,252,263,709,039,107,567,919,832,967,147,727,402,
189,508,324,800,933,367,815,850,144,791,255,293,014,846,754,778,493,780,196,
233,298,611,281,501,561,914,577,611,547,998,336,631,373,873,418,958,322,107,
174,320,304,002,316,751,580,339,778,166,475,949,408,379,190,563,599,496,590,
197,721,632,123,788,028,237,308,593,751,460,312,774,077,206,703,401,374,008,
583,948,379,928,663,177,225,964,830,275,105,279,704,541,050,910,943,774,035,
922,341,586,721,305,888,842,572,822,811,382,622,235,046,012,384,285,407,397,
049,193,197,274,059,899,538,275,339,645,599,779,043,389,939,723,791,360,870,
217,282,011,323,801,281,554,637,552,682,232,994,542,975,005,849,405,001,081,
805,178,477,297,838,968,444,182,326,211,757,441,427,752,343,174,368,181,613,
505,344,248,154,821,311,251,868,640,158,893,815,107,158,008,056,095,756,186,
605,339,686,867,438,206,636,174,859,258,176,748,828,704,248,749,865,207,051,
134,698,791,172,694,175,079,791,750,913,739,071,475,516,783,132,371,526,554,
995,181,994,779,298,797,789,364,784,215,679,363,731,213,963,797,831,036,488,
051,625,465,808,565,999,990,543,480,109,760,535,488,097,098,340,827,805,992,
329,997,871,041,537,750,237,694,605,401,429,086,182,456,964,371,778,476,273,
214,630,168,475,932,452,371,070,331,623,381,986,582,929,360,611,511,705,754,
786,858,862,888,706,669,829,358,086,554,312,440,774,917,512,996,569,040,855,
612,033,633,451,743,000,345,880,220,079,087,135,200,208,475,915,104,313,400,
691,097,804,179,023,832,231,910,816,846,532,809,195,645,411,695,620,534,386,
922,097,999,855,547,857,588,834,984,348,104,706,144,091,517,988,295,467,672,
512,172,008,449,271,862,968,306,471,075,240,440,864,548,766,319,435,368,825,
969,287,991,080,353,417,008,803,936,607,704,282,064,354,329,948,214,010,569,
334,327,713,979,074,070,396,875,514,709,055,644,478,786,823,905,751,113,942,
598,655,095,919,501,434,890,739,798,175,146,274,089,851,086,392,260,683,887,
494,913,717,192,613,135,796,690,965,402,064,957,802,148,782,625,087,009,853,
297,381,214,066,315,880,639,671,669,288,168,394,380,076,757,011,047,673,703,
500,569,329,211,327,907,197,372,196,208,096,461,123,456,227,034,065,218,863,
108,574,785,966,561,304,297,503,377,280,967,637,538,869,794,360,429,926,554,
328,083,084,269,323,119,098,635,894,756,342,571,433,280,059,800,620,300,051,
856,266,653,414,294,813,781,936,810,026,248,810,655,533,190,205,658,753,889,
698,601,854,922,779,355,528,611,309,451,773,142,951,329,210,760,439,424,613,
783,309,921,165,555,874,094,680,034,461,457,207,748,006,358,085,216,916,355,
360,204,602,686,566,766,209,314,861,198,238,707,963,731,350,635,962,573,340,
431,555,798,572,713,643,860,736,617,715,584,073,499,217,208,314,978,103,526,
957,393,577,530,764,641,472,235,984,880,447,827,742,306,011,664,065,192,573,
688,755,962,557,573,846,348,430,598,210,732,537,079,040,900,493,813,409,523,
068,943,136,508,787,541,991,798,575,762,694,163,623,266,667,762,913,462,318,
308,044,869,870,183,758,639,520,427,376,271,571,786,720,521,084,349,289,818,
411,900,649,782,043,324,186,079,426,663,017,939,065,328,788,652,376,967,337,
650,521,621,850,519,682,591,655,547,334,791,708,508,492,950,958,835,988,414,
890,343,596,467,369,007,202,620,332,769,422,628,173,585,900,856,860,036,831,
020,679,807,027,351,574,394,520,768,088,187,122,568,971,708,324,117,086,312,
525,771,450,238,783,133,158,435,502,990,289,911,093,277,887,662,065,607,142,
592,156,413,431,904,313,093,998,280,192,223,770,414,631,966,482,910,990,685,
621,092,666,900,512,294,574,204,841,920,182,985,969,158,574,128,527,515,176,
524,337,564,806,442,371,611,460,322,984,646,347,588,564,636,896,618,745,069,
533,089,146,367,552,849,411,352,285,467,827,770,237,918,254,528,802,769,350,
544,578,629,690,372,571,754,345,119,189,435,288,444,691,437,579,897,233,358,
637,588,923,324,257,543,090,154,120,473,021,595,017,033,954,799,693,262,919,
572,033,927,796,684,040,600,375,732,990,966,217,075,325,418,163,514,908,719,
062,221,411,036,780,393,178,900,408,569,750,195,838,911,391,554,747,088,613,
318,484,420,553,469,192,788,649,643,618,512,223,792,191,830,604,729,797,225,
501,345,345,426,709,453,418,623,066,627,344,150,772,311,669,017,533,479,154,
862,694,978,606,564,795,246,246,431,591,411,513,925,608,560,712,577,110,625,
504,952,661,305,362,067,758,229,070,720,734,995,023,763,576,071,583,652,763,
004,270,283,118,501,598,264,623,993,068,075,267,060,216,004,484,639,848,172,
561,935,368,854,243,135,114,057,138,118,358,939,248,801,200,088,557,974,339,
600,889,696,834,154,517,709,340,662,816,469,874,321,138,396,165,737,659,034,
912,242,753,595,001,958,050,048,993,876,787,476,664,571,396,177,236,442,096,
374,983,738,484,594,294,092,989,067,152,863,050,926,437,554,392,031,994,316,
396,371,021,395,094,719,803,047,580,197,432,986,221,569,798,142,202,928,801,
857,940,240,389,070,953,285,905,097,850,992,503,586,341,985,889,745,894,543,
990,598,472,134,771,619,862,677,661,022,142,425,855,117,138,270,077,860,728,
307,052,058,237,815,671,248,724,404,998,682,677,568,315,990,453,841,602,679,
501,485,074,771,328,739,505,504,684,376,100,820,679,660,767,508,183,869,096,
261,828,432,795,957,803,485,571,647,186,727,320,779,543,064,929,296,011,315,
292,239,464,850,878,827,555,176,998,145,447,651,680,718,855,424,234,586,451,
641,665,149,075,303,565,003,671,140,595,211,281,310,046,544,136,269,859,515,
968,130,012,618,272,561,999,147,844,639,078,892,850,515,611,174,055,387,670,
133,944,677,503,177,140,820,808,028,444,034,437,736,956,071,213,413,829,180,
381,861,265,911,722,902,342,944,514,958,836,511,685,389,466,703,127,971,931,
173,916,328,539,967,319,897,966,489,905,995,802,372,673,248,544,605,596,666,
727,129,760,581,864,649,858,972,239,643,171,484,698,550,239,273,625,367,277,
295,532,044,512,443,126,387,890,293,699,868,028,641,600,331,405,528,512,810,
921,346,571,239,610,493,101,014,739,730,411,151,615,736,337,059,246,738,600,
464,435,766,886,147,316,891,878,296,925,138,322,308,441,193,847,000,110,137,
148,891,016,432,931,656,839,930,905,792,344,263,029,193,459,438,679,145,420,
487,358,719,469,779,312,913,368,833,552,572,493,340,893,686,306,936,673,334,
778,342,249,728,242,635,872,347,151,865,008,842,669,335,944,676,797,002,123,
609,874,474,053,094,855,149,461,567,132,962,089,386,723,858,905,664,420,143,
882,812,911,693,506,608,497,168,219,156,908,132,944,480,422,269,153,764,669,
347,986,340,327,606,348,736,803,672,100,748,985,528,045,388,997,924,246,676,
712,862,020,261,124,724,218,642,151,163,211,746,159,575,738,296,800,996,508,
826,429,859,385,044,998,719,189,964,346,101,985,215,099,900,719,471,015,733,
020,456,714,974,165,458,379,561,255,682,408,732,709,126,961,026,891,299,503,
901,251,016,401,468,311,463,909,418,995,044,353,193,092,060,343,916,573,045,
178,438,384,003,261,179,721,478,788,840,768,725,140,698,617,387,668,503,959,
904,566,886,902,050,829,644,477,029,516,432,380,568,396,750,666,595,914,783,
102,753,159,797,708,636,189,166,804,172,829,912,237,990,105,726,797,077,892,
961,908,755,196,424,797,003,319,034,760,954,797,077,918,912,629,766,236,090,
708,480,020,768,731,558,708,606,583,744,813,125,476,572,018,088,711,954,561,
037,844,375,210,006,903,682,753,902,355,062,367,714,725,847,218,299,728,518,
970,198,643,914,808,043,438,358,126,382,576,931,836,235,029,497,962,201,671,
208,426,996,717,576,683,239,546,357,080,615,396,860,144,483,402,328,558,810,
649,850,863,243,648,994,675,792,868,116,836,136,387,004,324,225,845,664,762,
634,917,186,935,663,437,780,276,312,290,116,674,915,509,830,680,269,889,202,
278,975,033,121,890,137,575,220,546,719,038,535,841,548,620,482,649,392,281,
721,509,157,645,022,909,997,633,590,452,666,914,564,728,512,069,084,946,693,
967,794,234,330,492,053,831,184,477,264,120,330,814,384,698,258,000,734,252,
760,136,993,927,209,497,719,769,455,128,061,129,018,577,028,244,406,589,611,
497,664,126,013,801,169,780,198,060,158,039,446,520,021,937,072,122,492,426,
049,436,149,650,361,560,151,184,988,089,881,331,043,083,298,652,889,433,309,
776,722,365,421,590,761,404,863,336,730,835,647,597,056,885,016,958,311,617,
893,673,393,268,797,600,055,880,971,251,785,324,227,097,981,867,245,608,380,
950,584,549,071,201,518,903,586,851,047,485,958,982,116,624,645,111,298,367,
396,649,767,163,100,868,145,240,267,426,432,132,750,869,427,540,122,239,620,
725,518,332,996,668,182,039,930,491,114,224,360,713,857,912,437,913,313,298,
493,268,616,396,489,956,703,514,483,709,992,237,754,264,418,117,068,258,255,
769,592,678,507,311,355,423,645,136,471,157,327,378,064,822,128,323,900,451,
903,220,704,137,490,607,804,605,962,312,556,600,946,443,507,170,573,033,931,
026,472,551,235,276,350,704,326,377,982,453,454,796,943,271,015,336,131,282,
138,926,459,809,609,982,588,223,164,026,279,131,427,978,362,865,259,764,626,
014,431,327,559,214,586,193,206,018,663,327,166,661,539,459,530,464,386,203,
123,178,928,937,938,329,518,372,594,499,892,892,771,545,811,468,599,142,621,
092,324,430,349,126,192,782,309,062,732,663,259,048,509,996,970,005,243,415,
634,508,522,180,479,746,627,428,136,460,467,412,759,537,528,620,891,574,086,
311,664,643,707,653,705,450,439,290,561,415,759,713,539,276,967,323,496,886,
912,064,592,884,488,366,922,599,107,353,487,030,779,369,867,547,361,269,673,
995,630,863,919,521,528,214,157,831,952,641,611,100,218,006,990,124,238,373,
819,854,849,524,664,708,591,309,611,045,052,322,015,434,633,720,572,105,340,
271,999,052,798,476,762,662,596,288,624,459,812,817,890,281,976,364,101,754,
262,668,516,615,143,789,474,052,665,932,987,018,285,430,668,165,267,792,316,
156,754,082,931,008,655,774,676,329,981,455,212,411,870,450,633,547,671,972,
018,532,760,027,777,066,041,133,139,742,255,967,941,361,922,130,390,133,746,
619,736,935,402,626,749,472,481,029,825,993,794,049,542,990,387,961,904,842,
056,937,130,703,409,492,099,716,370,274,307,219,903,947,042,498,926,748,651,
566,306,427,205,048,638,237,198,579,567,968,862,959,824,194,789,314,015,871,
274,130,163,268,434,595,827,298,883,993,252,778,247,757,875,853,637,484,473,
037,673,326,715,636,108,964,422,065,173,502,342,141,470,334,039,409,349,499,
414,946,311,414,170,427,567,552,894,410,920,724,788,499,216,375,116,671,797,
398,506,487,105,405,941,554,211,411,102,888,242,065,863,327,038,232,556,258,
551,279,883,330,154,706,308,525,123,823,535,543,524,245,741,477,667,895,723,
414,826,541,688,144,833,357,383,591,750,389,880,417,858,251,225,792,558,754,
902,847,928,135,806,040,580,756,310,932,671,842,779,346,423,039,523,494,952,
322,478,970,824,915,726,058,271,871,995,588,217,320,892,766,206,201,073,604,
217,969,395,918,982,031,229,079,296,156,964,097,015,456,268,017,935,712,594,
208,705,589,530,252,706,876,679,493,070,767,329,395,400,507,489,753,308,075,
800,867,133,023,233,893,625,847,340,745,453,198,410,056,924,438,090,589,003,
791,995,877,140,213,795,776,323,492,920,034,630,268,931,971,593,865,803,212,
183,908,763,609,722,622,349,638,520,346,485,209,044,291,584,690,917,268,209,
966,354,896,680,840,040,475,803,990,796,413,279,687,436,500,705,345,617,180,
915,499,462,157,858,903,196,128,777,161,939,434,892,550,950,787,042,709,336,
621,092,263,214,448,523,280,797,677,343,564,001,098,263,682,746,316,612,131,
383,601,986,554,587,257,693,955,695,779,619,024,601,064,090,978,909,417,766,
853,624,801,232,706,005,464,333,381,372,961,233,219,915,185,855,665,783,359,
737,477,518,394,837,415,422,285,933,635,203,487,680,985,266,384,261,967,072,
599,487,778,563,011,482,552,259,368,423,652,450,211,231,311,518,615,954,908,
179,474,165,019,413,540,586,071,709,616,855,943,936,669,820,148,894,486,736,
622,262,471,220,593,835,100,650,730,858,390,205,949,259,570,686,323,737,923,
731,668,762,444,179,077,572,391,746,940,258,450,536,234,710,882,914,600,301,
523,049,731,897,581,682,608,837,944,466,249,188,147,578,216,770,279,205,302,
134,584,374,681,425,630,212,696,193,898,189,674,519,084,726,900,041,114,122,
139,688,440,531,068,168,707,226,452,500,253,929,490,541,036,158,228,913,876,
760,603,159,852,892,490,614,155,233,473,072,000,156,848,800,281,884,592,555,
937,520,952,050,439,105,508,555,519,759,577,085,183,705,365,262,369,323,020,
055,944,851,874,465,521,073,112,527,219,390,939,679,826,112,187,104,805,520,
950,209,656,327,490,948,998,991,540,742,704,971,627,048,736,011,436,150,605,
883,616,653,221,861,986,154,255,828,984,654,985,083,079,661,041,707,979,506,
202,032,561,970,279,760,512,499,038,921,158,915,121,153,962,413,628,503,606,
621,669,451,871,826,101,225,678,451,358,037,912,855,779,384,777,232,639,119,
732,688,089,923,716,566,680,679,590,363,874,245,938,744,784,352,203,231,008,
233,990,572,376,068,536,299,802,100,448,581,391,396,901,364,399,706,369,263,
606,909,873,924,623,405,383,145,111,856,730,899,252,012,993,384,380,805,608,
221,001,945,921,648,196,254,675,856,103,441,637,708,615,555,156,406,737,581,
311,504,636,848,927,150,060,221,389,680,487,694,093,536,067,965,416,156,583,
708,529,273,940,368,065,619,813,481,871,133,436,135,700,137,346,150,315,299,
378,621,657,590,128,757,156,620,310,286,429,058,665,210,710,361,678,352,537,
830,838,597,976,389,425,596,443,743,435,542,699,815,734,792,238,077,920,075,
142,713,829,224,196,714,867,609,987,600,585,269,409,970,757,576,459,262,215,
900,567,838,794,712,858,296,631,653,980,983,157,816,617,098,691,688,612,254,
458,536,888,930,925,837,951,411,394,926,228,970,703,701,432,964,845,020,894,
721,708,913,056,336,183,176,124,715,849,524,105,546,733,711,863,176,465,848,
362,847,499,735,353,101,079,999,130,648,912,484,079,770,658,342,207,562,645,
358,845,025,325,526,224,110,554,880,412,164,636,963,191,538,376,353,926,965,
887,577,971,468,075,422,437,597,907,868,948,914,612,596,568,469,246,919,084,
634,203,055,448,454,881,903,755,080,454,816,951,837,413,474,058,332,160,088,
136,385,108,281,143,579,932,325,132,421,564,864,933,173,359,043,751,012,667,
962,219,802,144,224,493,623,686,614,743,000,643,195,038,280,756,641,095,014,
270,432,471,572,010,025,170,510,467,889,276,348,705,961,220,337,284,991,957,
493,601,738,287,579,854,588,406,627,574,243,222,317,725,550,389,747,947,348,
792,093,709,123,805,073,402,650,998,599,791,958,288,321,265,890,558,567,719,
169,539,605,893,929,925,382,505,939,870,963,937,086,046,971,875,174,875,386,
082,629,841,072,538,279,460,404,785,933,249,683,348,186,918,278,120,442,427,
190,743,365,677,229,628,686,633,601,679,002,867,689,618,314,012,642,899,291,
092,484,316,867,405,339,543,261,294,041,367,887,999,304,303,769,622,671,582,
777,577,104,412,630,706,944,077,485,877,216,520,681,320,450,102,125,374,756,
951,091,223,644,755,339,085,469,094,121,744,055,350,987,244,400,337,986,660,
996,056,510,897,437,118,930,478,207,207,038,826,426,984,239,261,573,295,558,
505,296,978,571,599,220,008,142,755,330,739,671,197,611,149,499,532,223,442,
535,531,240,177,250,862,816,600,733,424,659,597,874,720,665,635,687,715,969,
630,187,615,584,513,452,351,329,375,346,823,306,733,469,374,310,332,976,686,
393,101,374,037,974,710,665,220,629,082,779,016,058,596,100,762,298,219,343,
875,866,687,270,022,616,562,530,617,140,595,612,679,969,517,386,255,797,712,
213,299,429,980,774,698,599,948,574,886,990,124,531,979,682,378,169,381,139,
958,021,342,351,330,382,434,703,409,133,721,397,826,571,073,648,845,866,809,
270,306,049,515,506,227,257,994,503,634,436,612,455,764,619,024,450,296,129,
206,098,820,137,710,591,813,131,859,448,046,570,077,708,332,032,536,331,239,
825,977,322,300,688,335,282,453,045,603,954,259,613,920,699,464,800,184,363,
174,511,821,929,544,488,454,981,781,933,047,582,262,054,917,465,746,673,662,
850,073,339,876,415,367,354,023,102,024,918,411,006,699,861,205,680,828,542,
263,249,853,939,126,497,959,362,195,869,186,444,396,389,774,698,309,351,575,
962,170,312,689,989,436,233,471,399,494,953,580,497,227,742,531,124,392,537,
412,441,407,427,208,855,224,755,802,480,016,819,818,416,906,105,642,559,476,
862,327,988,276,891,335,894,889,118,869,705,676,703,069,836,722,615,324,138,
229,116,011,636,828,342,028,087,891,712,893,114,444,237,046,482,602,616,953,
713,535,279,803,466,095,516,103,351,118,809,525,178,087,703,309,183,529,447,
891,115,955,389,778,865,749,175,989,737,050,483,113,888,738,518,560,631,925,
783,702,392,253,561,819,554,057,428,933,772,241,798,743,795,094,601,735,589,
318,597,641,937,728,947,318,236,168,707,657,477,913,118,569,339,731,429,920,
285,190,382,250,783,379,751,361,813,752,706,695,722,838,770,464,119,083,516,
208,369,877,678,401,947,110,522,669,658,374,339,668,926,198,683,983,039,724,
794,260,109,408,861,643,760,226,122,354,404,022,768,012,815,456,502,552,456,
243,180,071,911,039,339,987,625,011,833,435,888,968,054,470,503,929,730,519,
222,613,526,042,292,175,801,449,733,938,118,580,350,974,387,359,991,221,073,
769,601,433,182,297,994,188,449,570,201,780,492,803,348,911,190,594,434,735,
347,907,144,708,569,749,393,576,095,757,833,904,979,658,823,733,154,221,323,
486,401,277,421,902,616,689,998,086,009,741,042,846,056,979,155,137,933,159,
056,435,062,491,063,274,890,809,510,643,909,655,466,133,057,007,651,938,119,
908,124,051,206,232,948,402,329,493,355,494,040,822,678,110,153,250,293,160,
914,729,447,035,994,619,328,242,938,163,791,978,037,228,010,475,535,126,060,
117,357,901,459,395,810,653,137,067,981,454,917,281,878,344,084,900,962,663,
229,736,347,013,026,963,539,967,793,178,962,273,635,519,436,257,591,801,220,
168,229,836,748,743,941,254,392,472,814,135,326,451,593,551,023,542,798,176,
794,570,130,639,879,348,531,733,752,987,040,145,781,187,601,402,828,184,729,
563,318,870,297,683,752,802,185,249,631,008,452,820,494,999,425,035,452,375,
003,934,493,095,037,179,189,197,358,569,297,446,344,291,712,010,739,800,808,
222,281,417,501,976,603,722,870,822,943,350,997,316,756,282,268,281,659,667,
288,252,665,024,896,590,519,032,906,272,259,403,986,551,711,648,548,773,245,
548,268,390,256,913,382,295,644,764,934,703,391,315,157,921,203,813,637,552,
952,926,984,977,879,426,360,981,651,254,193,223,415,675,887,142,397,549,375,
192,151,715,117,171,122,155,238,024,666,311,329,391,687,107,112,288,634,421,
528,425,600,206,991,958,416,157,647,971,407,855,515,683,247,065,471,035,005,
990,427,098,251,393,192,807,982,279,038,752,511,932,993,692,078,942,421,262,
048,314,779,289,305,033,087,616,676,145,239,040,939,785,299,373,531,365,648,
559,159,380,130,655,257,589,305,689,528,258,814,209,944,705,450,291,640,667,
445,320,051,163,931,833,790,860,913,224,851,697,525,996,845,234,792,582,731,
249,339,373,529,388,907,674,514,763,769,064,022,656,130,157,522,548,611,905,
793,947,212,988,377,164,598,099,094,184,287,131,433,581,836,084,785,615,047,
848,104,082,555,595,209,972,519,243,633,529,862,733,740,290,663,694,907,267,
667,405,128,636,380,317,256,372,106,680,711,971,286,538,395,508,984,271,727,
405,997,499,683,990,493,155,863,789,220,011,053,057,457,473,545,567,014,570,
225,753,432,455,653,887,333,841,191,037,261,092,849,194,571,061,900,521,731,
651,680,168,323,186,428,600,664,133,020,384,340,466,196,618,409,503,577,607,
233,905,736,288,107,083,147,661,561,847,447,385,033,444,652,316,655,303,193,
428,842,599,147,418,988,409,479,364,955,177,797,562,689,925,402,863,372,202,
662,883,731,500,838,428,872,212,640,017,880,568,005,956,952,133,712,308,751,
512,771,753,852,726,698,667,420,214,121,367,099,783,845,069,733,900,592,444,
983,878,307,486,830,538,242,186,591,632,246,224,287,625,068,924,449,431,021,
441,671,090,964,562,550,416,470,509,338,494,947,482,562,622,412,189,145,590,
361,380,171,820,472,963,261,295,302,702,580,907,923,747,726,086,526,161,527,
375,847,859,465,428,905,710,400,719,576,571,593,361,314,542,715,701,059,910,
455,008,274,709,615,284,108,410,302,989,839,775,157,057,829,358,357,259,824,
320,106,874,183,335,723,591,328,283,965,810,851,192,929,367,740,312,226,789,
870,958,345,861,684,006,652,122,986,795,044,200,663,534,626,759,186,267,163,
282,303,161,434,322,730,843,676,951,704,460,091,090,812,278,457,884,477,493,
194,383,676,523,399,380,646,587,094,970,377,996,230,989,580,764,191,695,641,
300,592,156,812,812,503,390,937,714,163,600,172,766,770,354,330,044,985,165,
234,510,521,921,117,476,943,931,404,250,978,088,352,825,526,153,738,319,119,
518,295,748,981,709,754,655,860,156,287,077,779,169,461,642,814,297,730,144,
842,572,536,697,463,078,446,709,337,034,630,092,327,567,402,425,013,261,240,
216,817,511,658,276,528,994,282,988,901,181,391,939,153,758,493,553,660,285,
529,389,764,662,237,010,100,430,744,933,660,353,617,931,263,640,227,348,457,
330,755,593,195,492,145,853,656,604,047,140,731,922,333,322,505,644,147,536,
797,714,185,865,987,276,374,995,781,749,822,105,920,048,598,706,269,913,380,
947,229,267,820,702,478,293,585,542,325,869,828,182,113,950,029,733,118,727,
739,986,707,511,946,003,185,481,911,414,831,062,510,733,591,873,629,024,165,
646,267,104,106,277,405,768,313,061,327,311,854,017,721,346,551,854,200,960,
287,966,173,317,943,512,729,545,901,715,706,043,691,797,858,095,928,741,847,
340,491,655,230,014,789,146,719,327,884,762,294,174,022,081,899,222,548,989,
888,846,963,674,317,819,145,478,240,699,663,991,224,465,252,836,756,327,614,
961,127,614,631,581,976,854,730,910,651,329,793,821,745,018,630,906,500,366,
968,897,561,740,792,210,385,483,450,831,859,472,189,983,027,292,246,813,932,
172,462,217,863,141,669,688,509,608,000,399,679,298,509,671,266,351,964,846,
547,169,841,969,461,119,216,347,250,820,745,921,762,608,219,328,304,468,489,
920,385,063,776,300,138,827,682,411,351,978,167,419,318,070,000,462,886,896,
536,732,661,176,783,690,509,770,814,628,394,448,876,185,633,448,062,560,686,
055,495,269,233,487,251,876,523,764,689,815,802,130,509,698,303,756,477,489,
970,504,365,162,671,038,630,908,824,376,598,111,565,188,256,360,568,626,336,
144,603,216,944,641,025,635,220,129,007,909,175,959,343,938,835,817,522,981,
414,461,805,694,155,802,043,614,864,844,474,937,292,037,272,751,309,628,049,
064,551,435,828,896,863,872,835,841,094,078,497,552,414,469,922,698,190,931,
936,549,489,739,655,154,924,430,358,184,270,298,220,433,542,815,258,746,185,
223,056,643,727,073,726,687,871,059,046,974,156,046,758,813,644,930,241,848,
818,998,311,928,810,183,876,062,462,218,248,774,990,185,306,511,994,430,190,
876,636,787,845,135,868,020,856,417,661,088,812,611,715,046,827,140,422,431,
122,676,886,364,257,491,709,246,700,911,330,761,008,472,241,833,534,091,187,
809,136,787,559,286,459,466,255,084,421,063,687,984,227,421,765,438,040,113,
940,477,133,386,427,362,287,277,833,615,168,423,164,159,741,261,154,657,580,
003,284,556,673,346,228,813,298,639,353,767,622,728,876,054,970,065,794,881,
833,379,468,897,513,510,488,635,352,566,036,309,296,243,437,585,947,344,541,
400,342,447,544,719,313,564,378,114,986,935,183,383,615,541,006,421,136,523,
165,045,751,888,802,463,485,991,556,661,819,031,928,526,274,977,253,037,839,
209,862,359,816,379,621,203,342,960,185,132,116,818,412,961,843,153,560,824,
779,371,275,842,373,982,802,614,597,082,658,135,341,121,556,989,528,257,550,
705,999,389,865,007,395,540,918,672,108,071,034,209,427,308,443,253,692,089,
418,549,514,290,927,600,990,588,099,937,902,747,672,562,207,802,437,536,012,
717,514,241,993,063,875,323,776,612,430,598,939,485,224,182,283,883,916,328,
848,140,662,536,761,385,015,358,806,827,632,083,096,444,524,902,562,513,389,
250,376,281,774,775,301,511,795,624,051,803,808,518,724,640,475,406,790,717,
559,025,375,341,832,924,189,793,061,650,418,871,027,984,887,335,194,396,398,
949,637,234,918,808,681,757,246,367,476,759,563,020,489,279,245,633,913,476,
189,785,015,241,843,756,487,230,711,440,590,361,136,673,081,714,091,927,759,
740,138,459,119,217,188,766,968,118,034,853,205,626,364,515,320,188,811,558,
089,919,369,682,390,469,374,980,875,360,334,811,572,077,789,146,058,273,804,
664,499,791,355,943,202,836,688,441,568,062,890,063,558,495,902,332,012,133,
936,880,525,245,063,117,529,681,753,630,237,905,212,877,750,725,370,829,728,
355,143,539,550,593,330,288,624,754,085,778,849,122,876,597,813,308,287,283,
484,522,336,971,248,015,122,766,367,888,783,236,354,571,257,376,586,189,985,
594,891,249,256,564,644,854,504,592,121,467,339,822,906,917,060,464,551,736,
853,661,681,534,610,731,849,646,805,118,212,003,428,522,807,478,815,490,077,
874,536,266,311,759,087,842,559,569,596,414,196,756,229,437,765,001,223,666,
228,015,382,088,081,085,415,846,807,100,138,088,262,869,096,822,665,143,123,
234,759,259,045,514,244,751,202,627,617,014,823,219,555,163,752,555,488,976,
331,586,099,921,575,433,940,687,981,523,385,325,502,726,439,087,330,910,808,
321,238,083,379,769,426,176,739,523,814,045,428,894,913,566,868,272,411,804,
897,637,855,771,998,040,891,183,549,061,720,288,824,629,003,878,881,943,793,
767,503,641,710,813,166,646,871,266,493,313,884,856,211,254,916,725,707,819,
257,872,854,317,936,666,764,519,276,683,825,848,570,732,966,790,484,229,268,
739,004,897,540,450,892,635,450,234,687,140,469,108,633,225,642,857,429,925,
974,997,452,343,045,584,283,282,700,122,198,073,399,254,682,164,024,115,183,
245,397,577,671,721,971,194,890,936,588,208,477,897,853,696,477,159,956,796,
269,162,855,412,607,744,948,465,184,752,850,716,147,619,643,138,293,906,406,
216,896,971,851,156,128,688,606,842,299,960,134,773,146,913,016,939,992,050,
157,453,961,413,093,496,129,601,298,171,942,731,123,721,066,559,352,015,303,
022,563,558,268,781,716,311,855,060,730,668,573,190,423,491,600,632,661,743,
471,399,201,875,465,838,584,322,023,015,667,371,272,589,352,461,428,776,324,
633,111,075,804,492,156,110,006,347,991,689,749,654,624,569,713,171,125,171,
945,363,782,869,402,219,301,048,740,606,534,192,926,574,638,802,153,561,430,
633,145,328,983,996,272,729,972,324,359,211,482,994,078,445,725,470,558,221,
638,580,360,255,184,882,242,140,641,972,819,677,411,342,276,629,484,281,946,
585,459,559,237,694,228,079,587,686,236,290,199,562,814,224,271,280,166,319,
309,628,844,670,483,161,512,091,197,826,323,238,113,689,960,205,784,349,998,
694,433,194,941,347,946,498,453,620,687,477,486,248,789,038,865,147,216,641,
461,889,982,834,537,943,412,414,777,218,100,629,666,815,765,282,914,020,809,
444,311,554,200,350,324,830,766,028,435,297,554,825,724,993,690,509,574,171,
200,076,228,800,489,176,452,358,297,967,834,591,613,728,295,306,449,813,212,
385,859,267,254,679,176,292,159,143,069,266,577,383,591,554,309,299,705,915,
617,608,489,760,052,157,069,431,807,717,652,624,350,301,582,441,357,830,915,
868,529,446,415,141,839,674,479,727,014,368,669,486,682,793,551,682,345,580,
046,953,106,342,190,328,722,478,006,831,859,085,071,262,922,804,647,463,978,
609,960,727,909,896,754,327,991,163,783,138,396,171,541,390,567,749,642,286,
555,120,233,138,706,272,347,639,866,283,165,392,050,132,527,853,056,329,908,
787,159,553,922,906,774,483,985,865,800,331,398,300,909,496,424,128,095,614,
495,361,352,767,158,499,562,332,265,224,027,046,766,789,498,695,598,156,816,
746,894,361,212,705,247,871,229,645,393,662,593,356,317,243,550,442,002,220,
549,473,009,745,020,134,269,854,105,908,911,372,973,574,618,077,529,639,100,
628,760,231,025,838,706,971,602,990,664,148,450,964,593,063,467,380,886,438,
936,446,516,399,752,997,465,967,154,190,027,980,073,497,904,009,110,757,996,
062,251,723,156,104,434,820,286,716,073,985,187,808,667,194,929,160,883,605,
095,054,748,702,663,647,383,941,824,445,807,510,456,338,445,596,131,026,615,
265,040,006,507,775,685,642,131,343,979,991,778,215,354,322,333,141,969,360,
316,774,570,051,918,680,132,509,402,872,106,874,546,300,811,006,954,227,596,
616,321,732,457,490,474,828,579,279,944,742,618,642,048,829,746,823,465,761,
032,912,729,392,861,462,988,442,763,450,495,877,135,100,971,006,761,713,243,
787,466,149,796,807,755,622,488,094,816,062,221,544,670,560,767,309,301,684,
301,652,012,658,506,476,385,524,885,124,261,544,603,255,795,691,706,823,628,
591,198,427,247,221,814,573,382,839,214,038,782,025,050,492,061,238,957,530,
743,616,335,375,321,517,256,755,680,665,070,695,991,442,006,191,554,915,344,
213,628,402,036,964,527,137,544,604,990,324,267,824,008,749,651,713,221,342,
478,253,842,004,983,051,682,888,791,893,016,867,248,358,553,667,827,019,507,
622,590,811,003,129,963,685,022,634,176,266,096,898,526,746,040,881,531,663,
080,412,147,706,945,387,006,300,620,980,199,675,639,807,306,076,291,855,416,
362,423,974,513,250,499,187,803,882,672,973,668,192,235,344,423,356,580,908,
289,023,583,498,583,084,695,291,386,479,332,986,217,017,156,320,270,291,410,
570,337,136,845,150,896,864,166,302,921,621,301,469,297,705,433,710,983,675,
654,914,350,496,971,499,739,720,038,726,522,427,337,210,167,946,175,026,369,
789,599,426,304,301,799,522,081,471,382,952,736,749,151,118,771,305,831,579,
129,188,293,399,719,911,617,170,167,133,570,799,067,720,320,738,127,270,591,
990,523,628,710,518,122,319,001,168,631,865,944,205,801,367,709,331,437,685,
953,137,329,204,735,419,089,178,064,562,903,112,198,773,883,547,179,227,205,
739,982,265,561,179,235,635,528,000,834,135,781,720,971,239,676,634,172,335,
288,538,414,573,331,491,784,467,337,546,618,121,499,649,699,594,182,918,846,
160,895,316,538,351,949,764,961,632,841,742,944,752,087,600,314,021,322,134,
674,247,514,606,556,283,720,764,981,682,008,667,677,159,842,090,640,815,639,
766,994,775,406,372,426,473,934,409,497,556,531,007,435,222,638,674,668,961,
286,495,902,775,863,694,825,083,555,712,757,493,798,860,017,652,702,425,460,
834,757,516,739,087,063,312,526,926,322,503,562,228,307,387,994,805,990,765,
264,695,442,759,414,873,324,297,090,651,519,281,515,381,379,709,534,617,739,
804,964,769,504,768,862,159,626,021,271,816,473,040,343,769,543,730,252,377,
388,225,880,634,767,064,780,605,649,752,736,069,519,930,658,058,944,465,428,
562,176,148,134,427,488,809,287,490,309,399,326,206,704,980,293,776,311,083,
708,869,887,581,188,237,111,770,982,888,069,450,327,545,115,812,884,401,513,
056,432,371,344,212,693,726,712,722,396,162,585,837,463,758,298,205,738,841,
085,037,862,998,786,566,056,870,081,828,206,264,526,829,490,284,659,030,195,
836,228,987,488,349,012,579,763,445,628,995,418,461,664,526,165,162,246,368,
647,569,761,139,784,018,689,203,188,216,626,519,640,630,656,582,074,142,744,
960,062,637,330,660,584,754,232,088,742,870,738,837,985,188,349,168,234,949,
484,347,666,702,127,853,052,093,892,996,237,980,474,550,558,219,201,228,251,
543,945,390,938,650,605,824,650,991,702,632,132,682,711,778,049,963,323,871,
578,344,481,415,231,475,578,627,326,517,046,825,277,590,683,811,476,860,484,
954,174,793,859,158,291,055,534,456,239,837,198,401,679,023,242,269,510,512,
905,557,363,597,680,725,141,515,034,270,076,684,714,616,684,186,750,563,994,
194,321,165,489,815,862,819,988,015,199,065,424,289,042,346,726,258,679,527,
911,847,513,759,135,782,716,784,621,403,583,672,513,883,202,480,364,023,453,
632,234,162,031,130,282,669,349,945,467,136,732,343,060,085,064,458,601,712,
617,834,612,493,737,210,673,624,247,877,761,240,716,022,370,167,487,715,342,
305,421,530,930,958,122,953,562,261,714,913,662,005,622,427,821,542,798,511,
424,097,234,933,932,208,571,210,288,378,767,903,438,815,119,485,226,831,384,
259,757,895,134,525,695,958,535,362,738,731,369,243,817,799,875,060,893,093,
112,287,765,206,820,415,577,078,394,368,956,915,747,650,543,106,254,740,641,
642,405,959,768,501,161,882,937,938,184,819,477,584,347,869,019,865,641,917,
359,207,509,385,954,611,753,155,951,084,288,703,058,935,367,147,247,609,935,
172,015,401,346,680,450,106,897,907,064,080,182,225,871,930,030,925,575,976,
124,850,354,055,224,393,993,848,959,369,591,648,488,122,565,972,589,693,870,
983,550,798,507,985,148,522,447,987,548,301,532,799,749,346,231,885,139,697,
390,996,840,549,178,116,025,738,814,827,265,177,779,568,989,823,976,830,714,
966,917,135,539,174,874,734,583,820,958,301,824,834,429,466,290,174,295,915,
360,252,314,093,377,581,867,212,061,372,674,463,753,817,252,057,291,700,871,
430,757,127,948,977,722,920,082,971,932,255,874,616,987,434,156,889,575,094,
683,592,558,314,579,844,433,538,578,934,011,762,276,129,678,507,711,900,989,
611,997,978,746,844,031,396,828,526,183,366,746,410,477,820,741,425,025,866,
842,399,376,529,908,247,142,236,182,107,418,332,625,260,779,326,302,494,103,
346,119,053,422,688,852,838,209,764,207,276,682,131,748,251,480,784,295,389,
556,764,031,502,632,105,840,379,915,964,795,514,049,695,309,918,018,539,647,
924,923,177,331,983,768,627,999,753,924,910,955,368,480,992,127,757,577,183,
173,877,483,297,944,567,006,356,596,860,242,193,035,622,514,627,744,518,129,
265,910,379,799,878,770,358,046,206,165,183,952,981,849,891,908,397,119,530,
598,188,072,414,500,877,102,136,856,016,709,415,297,719,014,388,843,938,349,
165,984,573,303,464,293,787,508,897,792,291,535,510,673,620,699,471,425,451,
106,298,892,386,185,635,249,884,448,274,867,777,455,176,161,104,633,790,313,
895,643,438,901,506,927,354,955,783,949,963,927,050,283,963,069,653,951,270,
864,722,276,788,883,413,479,619,006,640,233,160,748,571,830,338,744,152,367,
636,209,787,249,306,395,134,387,852,021,606,801,410,003,841,616,625,083,977,
675,741,151,255,274,143,600,582,433,413,090,589,458,144,806,190,538,424,573,
311,764,382,549,868,947,471,433,977,973,445,559,412,355,432,585,059,809,022,
291,116,041,858,784,905,920,930,264,858,274,781,417,086,482,556,926,353,144,
444,401,455,333,172,383,606,843,953,172,640,479,298,817,395,226,383,951,896,
657,510,767,958,116,350,272,264,518,297,013,875,185,112,537,872,064,957,822,
124,880,726,602,803,070,906,963,392,566,705,059,801,048,068,669,041,054,464,
148,955,477,777,030,861,098,923,808,206,634,931,395,861,971,321,714,774,642,
236,654,374,437,305,746,356,192,729,219,519,826,348,885,252,842,803,529,014,
909,113,727,013,178,913,870,982,724,731,712,822,408,237,299,560,053,777,321,
544,314,535,947,825,487,829,866,901,929,576,136,492,365,523,723,893,402,376,
609,957,982,580,723,715,082,477,707,044,675,905,737,541,363,862,204,915,407,
208,797,582,805,594,899,405,389,643,650,570,986,174,760,224,688,267,636,870,
185,486,212,919,764,128,465,023,438,146,934,157,797,035,935,568,825,654,983,
338,530,570,664,399,008,336,941,381,432,044,463,244,044,091,075,834,239,704,
570,830,297,688,425,036,443,803,598,747,368,824,716,478,208,040,168,847,807,
777,417,370,271,112,470,685,488,975,247,502,310,023,267,356,712,753,971,531,
435,382,275,781,608,387,400,253,161,325,796,057,895,893,674,553,326,307,566,
493,422,579,213,459,003,170,066,643,169,345,773,621,185,901,636,445,983,890,
456,337,942,361,205,463,556,951,599,973,072,270,861,492,550,341,858,515,351,
445,798,045,849,303,836,799,876,995,196,255,070,553,522,971,029,949,946,071,
869,736,251,091,218,914,642,309,427,126,027,599,582,397,031,586,663,194,142,
199,909,253,209,767,356,339,265,072,833,417,580,629,677,969,570,974,414,657,
687,184,209,519,614,216,924,745,537,894,166,631,013,166,804,754,204,707,609,
393,326,709,242,511,684,691,813,154,942,763,880,142,148,798,654,080,305,291,
813,270,792,690,073,967,813,515,421,306,452,062,257,774,646,859,106,560,560,
983,235,127,319,594,773,923,087,679,752,978,978,101,369,818,979,198,671,421,
830,960,227,053,905,021,576,375,000,770,524,935,513,691,263,983,225,934,119,
697,073,293,002,713,578,870,571,566,970,527,317,898,601,906,873,270,591,463,
257,284,825,388,248,710,858,096,671,106,237,406,100,722,263,662,337,867,417,
319,104,510,883,389,825,212,184,984,493,196,924,336,712,793,188,273,003,809,
854,696,105,581,060,857,902,454,877,597,110,042,993,893,549,227,221,512,360,
292,689,990,238,869,657,801,584,281,762,203,484,099,570,615,752,838,611,655,
521,456,004,272,232,998,699,173,522,259,467,271,697,636,841,429,623,477,832,
402,908,756,075,361,090,571,447,355,893,097,735,262,362,723,999,669,079,980,
391,284,997,911,231,400,628,434,074,944,023,975,688,467,645,316,860,438,549,
416,480,616,398,163,972,233,162,341,037,346,798,953,256,994,520,867,061,576,
366,364,091,726,860,551,019,304,671,418,007,390,035,680,354,280,315,872,931,
187,439,876,104,143,297,999,536,038,935,775,599,103,049,664,011,943,537,328,
803,232,081,576,917,282,748,940,995,711,651,313,893,893,351,130,426,094,618,
850,382,433,354,137,797,590,939,788,427,383,330,197,526,393,602,607,283,956,
986,472,533,108,524,619,892,811,987,157,355,343,699,362,802,378,414,860,154,
809,764,964,258,608,297,924,557,522,432,547,781,015,701,264,022,592,734,909,
378,129,377,979,784,543,259,665,100,698,008,933,621,133,480,316,770,690,916,
765,810,273,300,202,491,912,227,094,309,144,734,912,779,222,260,467,390,198,
007,403,286,289,710,150,051,347,522,543,986,696,627,586,029,312,034,682,186,
377,493,887,468,724,542,078,766,833,601,611,042,408,295,910,926,033,197,077,
299,102,896,216,379,583,378,698,792,591,740,313,571,108,437,701,099,230,609,
537,135,492,212,388,856,136,177,879,812,731,007,070,542,511,511,560,390,682,
467,159,923,650,655,459,757,021,966,258,157,827,644,999,631,182,968,027,307,
252,386,315,831,913,917,931,867,150,308,883,237,828,269,528,419,410,402,574,
367,406,442,305,359,804,234,070,214,850,757,127,608,579,426,994,908,615,687,
233,728,684,530,999,591,218,240,157,614,065,649,850,970,510,911,102,283,294,
648,885,149,692,792,300,413,066,825,989,475,088,138,892,739,828,950,041,909,
402,043,142,633,455,661,445,141,679,212,442,050,265,974,129,416,038,205,587,
937,169,159,830,167,557,292,229,427,591,519,726,344,582,203,823,418,168,231,
911,907,180,219,861,708,080,797,571,275,810,044,677,861,250,683,314,485,601,
702,141,036,977,629,133,525,586,330,625,046,232,669,337,642,681,214,109,316,
907,547,075,461,464,976,123,544,564,943,661,016,569,902,273,336,383,500,030,
358,095,276,360,877,627,369,784,985,992,151,284,006,896,813,729,171,111,065,
877,818,505,276,360,664,337,093,811,466,539,696,796,006,963,896,296,648,444,
476,163,297,271,467,608,082,151,674,737,825,235,299,810,974,441,926,808,472,
377,643,579,554,325,517,955,327,751,953,155,330,030,100,506,240,785,980,006,
941,959,462,591,495,509,261,502,716,841,611,003,304,780,365,496,230,295,238,
037,193,894,299,378,904,946,073,603,915,800,389,294,317,290,205,671,672,355,
312,662,065,721,358,254,069,478,716,252,905,097,598,875,214,356,550,629,398,
831,217,255,483,537,845,871,163,462,140,117,298,776,575,509,326,999,470,480,
485,340,961,107,951,622,299,403,267,112,523,519,428,871,850,621,643,443,836,
671,490,883,257,525,034,861,940,834,329,394,393,842,962,540,948,815,967,590,
537,009,624,304,247,234,341,889,418,961,137,862,217,564,258,785,067,685,825,
974,186,768,868,161,648,683,748,487,043,101,512,268,928,969,323,102,916,921,
081,621,296,123,632,067,660,045,920,207,215,987,307,659,523,006,852,807,452,
826,180,491,986,951,724,531,013,335,184,829,393,031,597,468,943,407,222,671,
342,522,101,837,913,242,200,990,525,897,840,551,654,532,076,672,463,333,977,
023,486,063,021,326,488,480,601,508,585,103,707,061,686,075,366,506,679,711,
273,932,956,384,593,709,668,059,055,248,821,751,366,555,052,765,235,878,906,
027,729,046,528,671,021,669,055,148,879,986,468,033,101,691,397,665,650,977,
185,686,650,812,879,986,253,151,411,388,458,913,133,282,007,823,714,959,865,
929,946,169,125,088,298,835,976,182,715,413,142,063,875,235,181,088,302,648,
373,019,063,729,795,969,269,848,372,865,766,597,470,668,652,104,714,180,512,
240,881,091,099,647,990,617,195,980,690,394,262,038,864,263,350,033,150,456,
944,601,048,615,689,658,617,016,914,502,368,359,773,139,457,141,945,574,298,
872,132,644,160,062,413,571,841,187,778,697,495,935,781,208,574,830,685,759,
188,045,803,287,806,460,413,333,106,561,481,666,247,761,935,443,562,637,351,
124,089,459,580,157,702,180,427,778,290,861,783,520,062,101,129,904,859,136,
702,498,640,646,396,184,164,473,176,011,372,467,644,670,200,851,498,674,056,
059,919,786,112,189,941,906,626,097,582,730,887,235,913,108,096,401,106,218,
090,584,585,419,581,709,078,024,557,598,201,499,786,456,519,188,738,298,749,
080,483,191,083,064,300,755,011,586,309,737,775,337,673,986,310,450,094,298,
944,777,060,279,980,819,590,495,657,214,469,757,295,679,365,540,850,687,989,
320,548,434,735,212,730,401,321,150,543,927,523,435,251,632,971,538,246,832,
814,188,360,078,494,264,886,569,818,684,983,416,455,554,807,959,760,503,852,
427,609,327,356,971,295,900,095,595,442,087,209,983,017,290,058,309,003,185,
812,934,603,749,737,496,353,747,729,294,417,874,446,026,637,207,234,476,461,
759,857,632,317,593,979,085,847,070,861,333,907,428,005,505,315,039,901,169,
905,712,378,715,358,941,193,918,237,022,479,434,608,307,588,796,819,357,934,
154,673,200,341,816,015,709,517,455,719,454,958,680,001,549,985,301,582,541,
287,707,466,224,025,715,496,959,287,605,915,649,983,952,459,774,954,585,376,
389,359,991,711,103,549,564,935,570,286,743,534,918,788,364,532,242,946,790,
981,275,953,190,454,708,216,733,041,988,349,586,656,459,354,178,816,136,598,
567,937,155,682,890,587,202,145,608,978,737,342,655,181,491,079,486,060,240,
970,658,456,936,268,181,696,962,528,127,899,511,327,673,885,313,000,001,849,
149,680,516,773,644,124,314,978,790,055,951,496,547,828,126,744,617,722,153,
055,180,547,839,521,822,927,111,302,177,215,596,710,541,831,530,829,449,150,
399,923,859,118,005,240,165,548,504,003,037,529,287,219,182,181,823,831,464,
264,256,236,561,120,286,665,497,187,672,724,701,354,025,279,430,117,562,395,
985,703,682,214,038,314,733,941,279,425,538,833,382,494,288,544,947,721,711,
796,492,563,547,274,348,047,660,148,240,897,300,288,827,479,440,396,526,403,
634,344,464,528,397,522,499,429,214,467,165,627,393,477,617,057,345,467,981,
897,954,554,192,093,969,832,541,230,148,585,306,657,106,139,448,951,075,561,
953,764,762,985,962,117,872,593,656,310,154,057,986,197,073,898,076,287,443,
210,620,467,987,500,230,441,314,622,620,626,705,236,384,661,982,149,530,275,
159,583,385,484,248,522,600,638,796,895,390,589,212,326,098,767,328,033,058,
042,614,868,406,784,584,885,287,000,023,434,207,914,434,019,949,207,044,461,
966,876,245,101,423,074,011,949,170,439,975,957,815,318,991,716,760,149,360,
032,578,044,480,601,670,238,370,419,316,512,494,041,600,636,656,745,146,986,
098,735,232,044,919,752,964,840,793,387,710,716,482,294,039,394,659,678,637,
133,076,140,371,984,242,974,557,490,300,085,516,788,064,732,167,970,709,776,
415,603,806,009,123,454,728,638,952,215,039,733,071,904,639,073,587,932,461,
167,623,353,958,082,351,684,075,140,070,751,300,757,722,579,438,388,621,426,
813,118,800,984,272,695,252,913,293,273,111,285,777,766,492,937,575,750,120,
401,722,086,138,051,370,113,664,771,421,445,421,379,600,924,847,423,198,099,
318,302,973,632,790,765,909,200,226,708,290,885,074,437,744,806,964,887,490,
834,878,172,011,388,367,265,781,767,922,379,818,789,649,995,930,757,222,388,
936,466,391,526,143,849,066,268,779,825,840,953,353,446,740,396,463,257,464,
036,514,128,593,900,242,214,086,380,804,210,800,008,356,227,535,277,269,800,
262,547,874,306,993,200,571,625,102,649,967,357,885,653,317,393,023,921,531,
941,257,954,624,792,677,614,916,910,532,429,839,854,273,413,309,645,590,087,
389,486,433,045,085,743,767,133,464,667,991,098,737,570,982,901,697,475,221,
889,251,078,426,980,791,887,063,650,834,320,525,644,401,788,988,941,919,889,
158,461,206,449,334,735,345,205,979,272,858,548,277,087,509,767,841,054,376,
376,708,221,530,467,621,709,104,429,621,367,358,034,969,218,517,398,399,735,
898,003,951,580,338,842,069,196,880,707,680,125,812,584,345,468,016,011,086,
189,518,775,174,156,430,301,322,501,472,284,955,980,689,722,187,219,225,336,
389,918,939,346,109,879,012,928,569,082,690,073,484,096,566,662,724,650,831,
625,190,749,959,910,502,859,103,267,540,798,325,907,402,141,292,948,942,202,
083,509,395,422,103,072,979,396,184,346,394,572,547,674,720,182,879,916,124,
636,971,061,335,249,200,938,080,339,408,014,043,090,241,475,377,964,697,723,
109,682,211,159,165,392,383,105,639,879,855,934,855,713,215,581,056,895,635,
226,142,895,314,424,483,120,877,318,634,970,039,998,388,502,150,814,773,176,
938,468,819,795,460,323,272,688,231,810,317,568,160,533,539,717,002,826,626,
153,250,849,576,273,785,455,440,351,265,294,856,487,773,152,781,230,086,274,
320,154,124,945,202,766,741,185,115,715,575,705,065,760,136,085,315,785,845,
651,669,329,908,702,363,815,297,173,573,133,119,051,614,508,561,509,932,678,
145,419,785,277,396,000,937,912,442,471,746,434,992,057,119,312,107,200,961,
219,029,662,185,605,038,509,967,669,755,907,548,936,236,555,881,271,727,926,
937,709,011,588,163,965,960,695,786,580,916,756,172,781,978,456,468,440,914,
612,010,345,899,704,838,008,425,487,532,817,246,817,551,953,881,381,594,961,
941,502,076,133,466,002,510,276,912,938,297,191,641,961,096,551,188,060,982,
655,402,034,251,298,162,597,336,990,494,638,719,377,178,659,357,607,765,860,
671,929,378,533,901,659,523,145,463,555,066,209,609,390,283,543,302,853,814,
509,444,068,800,980,998,028,433,481,161,777,756,599,492,451,822,392,382,317,
950,810,354,441,090,864,123,295,897,610,270,997,095,358,912,577,571,826,154,
767,450,989,702,188,209,572,205,346,333,300,960,213,351,608,060,121,667,968,
677,539,296,526,044,695,083,211,844,825,526,172,766,985,420,833,350,845,266,
979,588,116,571,167,484,449,155,621,986,202,713,442,782,057,862,763,296,427,
242,772,149,501,674,276,123,157,788,450,046,747,760,262,248,580,350,537,783,
805,662,532,130,176,307,856,135,346,882,280,385,938,336,316,454,000,794,131,
680,480,578,903,736,164,139,494,519,509,113,099,727,586,585,459,915,841,706,
904,719,862,866,278,540,108,053,499,432,766,579,522,997,216,320,634,154,631,
283,802,251,610,584,145,711,490,560,557,634,508,345,715,714,519,578,642,603,
507,420,298,249,068,651,950,531,169,608,216,260,659,128,623,315,968,162,825,
052,123,201,189,171,885,131,136,370,727,152,451,279,484,125,638,750,784,438,
363,648,224,029,066,807,977,896,019,007,996,649,988,605,525,179,328,173,986,
489,615,819,497,646,969,343,902,573,522,931,494,875,744,932,557,660,742,909,
135,311,783,478,048,869,360,309,304,294,893,900,425,802,610,309,777,222,031,
581,502,919,157,282,261,026,975,474,820,261,697,863,530,426,853,669,715,432,
900,747,324,771,331,213,885,728,086,512,575,532,759,270,322,566,883,590,677,
243,610,975,581,000,583,895,568,871,084,486,740,684,151,121,666,410,995,402,
121,869,848,565,582,774,353,334,670,500,859,349,863,391,980,926,027,366,479,
620,747,913,176,905,573,056,703,909,807,405,881,701,917,257,625,199,793,688,
721,115,283,628,036,525,983,536,476,490,374,055,034,305,111,794,199,161,409,
532,634,319,917,776,874,841,185,194,169,496,359,277,518,938,256,831,379,356,
412,481,546,208,472,854,407,280,052,877,391,705,108,682,520,725,255,110,819,
541,605,915,142,389,982,043,648,988,121,104,412,153,086,200,245,246,917,584,
066,465,947,516,932,489,852,826,863,098,295,395,706,868,476,258,703,630,778,
977,668,342,802,856,426,403,878,647,875,535,809,091,991,699,814,854,075,657,
471,793,918,221,223,241,448,419,021,996,042,442,433,598,625,609,976,939,082,
038,585,541,416,544,482,858,118,817,398,509,698,478,604,051,253,473,229,837,
244,585,613,490,137,112,972,502,163,070,970,419,519,424,305,012,692,558,822,
746,979,527,317,055,056,535,788,415,046,801,271,423,659,679,448,717,887,835,
804,331,862,989,964,585,220,294,839,539,572,259,960,127,760,608,648,769,190,
469,326,276,152,975,189,013,825,317,004,495,427,626,476,396,863,941,050,348,
151,108,388,938,512,676,233,713,904,062,444,383,386,209,175,442,681,283,969,
316,842,273,537,809,371,556,060,262,253,673,397,848,002,452,377,713,784,672,
741,471,321,456,456,582,562,902,321,826,684,976,436,740,747,864,861,973,684,
375,358,622,139,428,577,513,735,767,575,649,385,342,430,033,182,426,806,237,
231,871,683,141,506,835,002,607,955,892,691,046,985,113,025,654,128,706,438,
567,570,053,542,626,455,932,852,661,898,397,966,941,275,116,771,701,868,746,
834,386,201,659,949,900,660,796,196,970,023,213,550,577,638,455,325,838,166,
582,126,290,648,266,745,958,726,901,329,377,542,840,623,336,412,727,669,359,
845,219,972,199,806,937,937,672,902,917,036,665,766,532,843,894,285,601,587,
076,244,841,779,260,065,985,584,420,423,616,409,914,754,700,945,743,340,706,
036,017,269,289,743,411,234,730,785,514,382,604,914,730,103,577,027,392,176,
539,783,855,713,238,412,319,939,776,378,002,597,030,209,273,818,154,497,183,
576,831,961,467,998,852,249,221,520,441,098,016,581,153,250,458,737,762,113,
853,643,869,354,180,172,408,754,734,950,759,474,637,625,453,321,154,044,550,
891,055,738,903,265,065,587,026,327,395,514,081,918,628,235,436,765,086,512,
867,888,070,721,424,597,356,565,569,368,175,573,720,678,861,724,196,619,182,
744,044,638,056,873,457,819,331,850,361,812,235,022,022,210,569,834,902,688,
268,800,114,940,376,510,033,220,293,546,727,119,740,965,453,699,452,832,144,
340,248,125,087,002,475,132,427,615,880,833,589,975,729,760,284,494,959,918,
856,114,914,935,345,282,204,609,498,542,108,256,914,198,145,778,431,245,934,
457,180,284,748,209,800,058,286,568,628,593,919,254,726,370,073,066,298,506,
238,743,238,170,024,120,720,874,431,805,145,770,207,771,805,457,295,548,185,
931,279,096,758,049,182,840,862,573,691,535,916,000,079,944,786,767,671,749,
444,023,550,665,164,831,538,207,851,274,624,371,317,849,858,379,181,715,649,
014,686,816,110,429,784,543,470,529,472,631,924,069,030,452,868,059,745,681,
252,781,626,438,049,719,518,454,125,898,601,675,000,328,371,097,981,704,076,
366,361,653,276,738,553,328,090,046,654,336,263,382,764,639,947,726,937,997,
076,382,144,760,922,776,812,133,476,330,559,508,413,891,357,857,798,669,805,
942,138,086,067,533,956,137,248,313,991,871,745,631,909,647,880,906,433,383,
703,224,023,206,122,119,025,422,696,585,653,989,273,977,327,774,321,205,827,
591,752,710,528,651,742,098,013,305,225,464,979,012,960,078,096,988,444,638,
640,979,768,598,818,326,805,573,210,059,458,947,359,080,648,260,115,932,060,
425,128,752,828,956,992,882,718,882,084,688,449,579,553,569,413,056,183,265,
117,605,189,803,038,857,078,434,872,727,410,677,396,839,720,817,871,168,528,
600,725,027,554,503,017,844,252,238,482,969,388,903,429,055,642,153,794,400,
737,492,977,038,972,109,288,050,339,611,148,596,307,083,974,973,731,572,613,
891,812,150,451,550,068,020,672,262,350,117,438,245,253,606,680,563,294,990,
567,344,807,005,463,471,488,560,928,187,511,654,029,738,180,089,714,928,062,
466,015,072,579,753,036,161,715,855,493,105,136,203,331,484,230,997,235,319,
050,793,211,467,795,794,666,019,469,263,236,936,948,554,604,679,294,300,875,
832,400,200,763,709,226,047,461,335,023,252,956,556,056,482,852,803,765,397,
034,378,591,964,279,899,296,792,012,892,779,626,928,784,312,665,883,883,545,
861,960,353,354,099,075,078,949,078,853,967,793,035,287,765,005,401,743,384,
383,994,995,989,577,776,269,847,324,192,625,514,253,622,335,759,236,912,459,
222,939,530,491,120,681,097,344,063,476,742,246,779,856,422,741,994,692,228,
483,405,160,095,543,258,861,301,429,444,496,835,455,975,598,114,039,615,467,
345,450,749,140,431,346,075,978,775,676,843,940,596,813,345,108,230,943,933,
073,627,253,088,236,951,622,927,962,991,330,096,385,769,538,698,835,659,225,
116,422,432,940,720,732,574,891,655,269,052,367,491,324,214,284,732,446,574,
514,547,568,659,085,725,389,973,438,227,130,327,380,890,631,199,027,328,790,
225,812,916,130,629,587,938,843,194,210,448,386,178,418,199,553,228,743,815,
526,797,693,801,030,456,954,751,142,922,715,432,984,075,631,518,143,733,376,
346,654,390,498,331,851,424,909,370,308,800,556,398,399,181,735,393,133,998,
868,061,484,369,407,273,239,051,778,172,144,720,506,423,369,978,008,167,807,
155,151,161,835,184,747,608,760,350,932,329,593,054,818,438,588,749,886,792,
566,706,736,320,825,165,330,288,134,156,318,844,471,864,159,895,019,290,632,
647,098,513,676,771,074,237,575,023,504,658,871,834,344,829,917,795,004,087,
882,915,941,566,768,581,679,358,198,582,627,206,286,172,764,172,089,363,202,
803,266,227,780,934,779,057,133,216,034,582,238,771,189,112,086,707,482,792,
090,787,328,220,699,329,139,906,846,151,526,918,348,018,768,186,559,351,922,
041,763,725,667,494,959,214,649,056,886,816,379,736,574,384,024,412,085,318,
665,408,639,301,905,206,807,381,734,897,766,691,795,605,210,577,635,610,236,
264,429,769,458,937,309,717,251,911,817,027,423,295,674,987,906,789,662,990,
032,108,390,730,551,225,204,622,764,830,734,744,201,040,090,705,399,259,627,
378,460,481,033,188,001,965,480,028,544,160,801,712,164,453,095,563,883,431,
491,038,711,096,885,307,311,628,173,731,795,203,127,377,910,245,367,625,083,
074,974,705,121,408,013,787,573,387,848,913,508,203,562,461,737,820,581,956,
862,477,250,670,638,204,098,246,066,052,481,112,144,744,209,715,761,912,256,
861,529,363,877,878,773,123,998,590,183,476,400,756,730,148,952,062,576,911,
506,900,782,094,359,625,648,689,932,191,273,315,084,213,850,767,105,836,752,
648,929,093,468,631,368,817,693,091,058,177,035,771,069,909,619,659,999,387,
419,238,176,533,263,890,122,045,135,521,332,973,067,916,976,617,993,681,005,
232,846,142,809,778,297,099,448,181,866,250,865,616,534,393,568,845,816,612,
305,392,794,533,384,755,530,684,611,637,060,902,601,076,731,093,441,759,469,
408,284,226,451,581,024,901,126,196,995,317,602,911,338,306,195,577,057,479,
108,169,700,498,763,705,800,088,824,497,341,784,871,992,151,658,485,266,209,
690,848,035,220,182,986,335,341,543,669,825,985,584,540,160,932,908,987,447,
285,288,346,760,268,711,988,297,034,855,176,078,027,370,763,203,366,715,368,
062,256,231,662,222,052,918,452,778,032,882,021,030,692,872,789,464,997,696,
956,194,023,495,962,643,704,275,664,280,368,600,934,612,482,217,593,535,412,
254,107,418,163,504,461,372,029,024,095,534,517,472,116,087,474,077,387,735,
186,046,128,473,423,337,319,838,751,384,933,425,677,566,044,148,248,252,468,
608,435,259,966,461,550,366,356,749,595,126,203,847,257,091,103,808,887,183,
111,421,812,339,125,136,246,627,021,486,723,179,478,755,381,625,904,995,230,
634,585,663,239,219,158,506,753,447,308,560,814,880,398,945,593,675,008,501,
887,184,013,211,427,991,944,780,938,830,289,367,852,163,273,707,053,827,841,
103,534,692,824,818,698,217,872,950,038,413,580,549,284,220,882,096,005,153,
125,010,726,144,030,185,019,219,260,469,099,485,785,398,952,985,347,236,434,
782,920,216,816,413,932,786,506,720,574,303,280,316,185,327,720,916,808,759,
296,453,242,935,509,448,625,783,489,867,526,420,638,451,581,625,826,183,676,
514,074,403,121,995,261,079,878,330,049,583,610,415,544,147,672,151,288,200,
695,897,113,157,264,082,313,477,921,072,146,114,809,318,597,384,390,754,216,
059,130,929,140,935,132,822,505,843,662,441,267,254,012,464,634,914,924,383,
866,277,431,153,596,291,572,822,265,033,379,766,038,543,254,144,013,032,840,
598,619,021,283,225,799,350,679,191,423,256,779,845,387,384,043,420,146,284,
286,989,488,379,776,454,738,887,378,955,285,061,173,712,748,369,825,186,349,
226,373,944,781,349,969,949,367,319,698,135,062,917,690,137,024,881,349,283,
067,416,398,636,028,797,100,256,078,084,822,678,874,718,076,023,790,593,290,
466,181,090,140,140,028,653,988,939,094,133,282,369,343,670,529,035,405,390,
519,160,295,641,239,104,884,855,937,034,984,388,935,925,297,325,603,253,018,
971,752,773,274,414,822,644,908,801,549,637,922,328,987,488,645,006,316,902,
856,935,679,087,877,446,668,311,346,558,168,688,445,833,579,386,084,623,942,
694,329,433,609,231,471,882,741,790,757,175,121,897,776,644,340,915,045,267,
860,151,417,151,951,283,910,507,694,497,399,021,734,150,947,934,526,338,475,
506,535,549,395,331,169,427,950,989,376,971,938,280,200,674,257,999,950,280,
444,967,752,506,771,178,485,167,861,305,419,527,679,364,876,194,960,935,596,
733,426,612,905,139,116,487,287,252,142,561,235,074,275,395,179,402,231,868,
661,419,496,806,875,076,033,143,436,111,215,491,969,253,381,899,783,569,677,
170,373,964,247,600,681,645,703,653,305,986,107,901,195,279,628,769,933,423,
478,719,305,581,697,482,890,337,941,366,373,184,795,323,941,733,232,179,577,
143,123,416,497,219,400,885,228,401,047,425,774,697,425,539,799,633,424,135,
243,942,551,478,869,104,722,896,710,682,348,098,320,296,918,366,386,594,583,
857,761,122,422,699,437,286,057,706,972,122,754,157,614,920,859,602,365,780,
417,158,505,515,132,279,961,350,061,959,037,424,645,315,093,831,287,339,286,
674,628,112,590,418,083,032,033,801,003,614,311,291,861,052,347,448,110,951,
180,192,247,494,168,582,567,897,747,977,575,899,729,580,874,790,894,861,467,
427,693,437,687,409,151,779,942,302,581,777,380,928,967,804,898,852,273,806,
040,364,431,447,709,861,766,654,523,389,389,093,568,352,117,379,596,640,634,
554,709,761,133,411,353,120,374,577,177,855,807,330,783,903,179,691,209,908,
502,898,291,113,734,406,731,131,212,461,495,634,736,542,262,016,848,101,337,
571,346,478,327,106,030,860,791,136,108,895,910,021,854,105,919,311,228,570,
808,964,468,489,636,907,369,578,707,615,485,521,254,678,342,262,775,041,758,
694,159,538,293,949,403,236,989,121,535,464,652,013,544,964,327,682,374,607,
736,295,395,648,909,526,801,949,245,840,559,373,843,202,746,744,924,037,902,
836,691,463,733,033,152,383,018,770,986,616,043,861,434,429,784,523,201,493,
049,252,651,288,107,604,546,670,139,334,832,383,756,826,331,363,315,287,294,
932,725,315,580,323,256,270,007,741,738,855,487,878,709,895,596,441,116,929,
264,082,554,211,568,288,817,031,237,845,617,172,410,875,173,043,504,799,205,
330,408,679,231,439,907,519,525,549,218,863,181,227,468,173,819,979,674,984,
820,900,009,859,231,394,552,156,738,460,655,274,255,965,008,775,169,485,963,
423,819,902,883,248,971,232,151,844,642,930,250,429,222,530,707,043,678,646,
969,625,230,262,808,507,067,057,993,161,643,778,790,678,064,583,240,632,119,
373,063,930,748,551,367,502,665,003,974,875,648,519,678,916,302,305,469,276,
529,860,253,478,125,375,999,374,546,143,594,680,565,189,612,514,032,420,094,
784,695,916,738,410,502,803,560,539,994,969,908,597,658,926,247,485,901,718,
722,220,055,750,431,827,667,665,108,058,112,830,735,663,739,124,515,777,573,
929,759,119,237,746,279,033,015,625,464,887,617,733,098,582,171,929,671,879,
663,936,080,990,932,757,960,061,109,618,523,466,422,366,526,648,725,181,332,
132,272,162,623,634,876,768,956,363,785,573,700,065,542,714,070,754,867,716,
406,142,309,177,500,001,292,474,013,434,603,888,230,342,365,956,291,509,786,
931,034,770,281,318,467,926,860,777,429,174,564,821,364,051,069,091,051,964,
687,473,175,036,705,526,043,905,485,258,999,614,247,962,729,212,095,109,782,
639,100,601,631,273,324,553,373,058,224,611,788,927,370,288,333,675,208,780,
156,174,296,685,393,344,805,468,888,335,938,130,302,289,181,815,568,894,700,
071,141,422,480,818,253,497,523,747,998,418,524,488,277,740,736,503,095,522,
861,285,876,469,932,772,763,707,269,217,866,810,266,883,597,864,930,482,874,
118,197,598,278,857,862,479,444,959,246,043,118,942,095,842,921,590,380,567,
606,274,659,703,176,962,383,055,130,834,833,458,854,610,948,142,987,872,054,
936,040,753,874,607,857,492,558,295,151,311,216,555,435,049,404,556,025,144,
415,203,943,059,649,790,156,068,023,107,862,696,499,872,127,010,441,833,348,
587,904,986,979,159,506,645,983,553,419,645,817,559,474,012,069,909,336,946,
830,685,181,595,411,854,406,591,143,814,870,774,120,617,182,935,027,707,344,
036,908,235,666,819,573,891,670,598,211,782,542,844,590,824,156,867,878,136,
389,847,587,471,990,902,021,894,480,347,319,936,816,468,027,793,381,308,812,
913,250,659,664,086,466,759,627,520,997,852,089,921,289,981,972,458,215,778,
512,357,359,565,775,730,956,541,243,538,628,436,400,796,386,083,785,935,967,
894,330,056,803,165,626,889,454,921,038,798,752,775,810,996,513,377,442,029,
540,965,351,362,302,724,152,606,326,161,690,394,937,419,979,058,971,198,320,
731,394,343,623,742,555,082,399,639,557,601,182,022,703,896,257,208,379,304,
553,207,503,308,780,369,062,391,764,955,158,330,493,034,272,518,442,403,351,
955,147,090,369,116,616,949,457,311,882,110,716,347,110,208,587,091,283,123,
678,940,393,685,371,571,736,282,132,347,043,163,566,697,518,035,669,521,394,
616,000,522,721,724,294,602,775,140,929,642,686,867,728,557,319,390,490,117,
204,131,388,527,307,594,917,031,331,456,164,841,335,180,802,242,729,030,529,
265,040,718,468,314,032,254,198,323,092,845,054,216,052,465,593,953,142,313,
857,073,659,063,209,148,324,003,633,031,753,344,136,286,536,057,076,038,730,
889,804,824,645,733,534,930,186,778,350,678,966,201,296,579,035,210,835,514,
028,118,157,734,260,460,714,884,421,983,725,057,140,994,873,341,582,766,003,
647,085,926,567,109,693,184,000,957,111,661,335,836,307,488,815,518,619,500,
695,853,882,441,044,355,325,128,493,677,422,241,250,750,972,148,967,054,373,
653,254,013,746,900,490,988,678,266,093,669,614,123,209,735,077,607,753,499,
210,371,278,819,724,135,490,630,969,074,017,014,212,106,657,405,502,404,190,
495,098,399,314,474,199,845,122,371,185,631,874,119,346,304,673,334,642,492,
382,306,098,040,187,121,017,113,212,760,803,147,272,809,729,435,736,910,458,
616,928,557,277,029,023,584,910,125,828,967,873,895,541,178,791,943,208,742,
053,299,330,314,332,814,092,051,343,759,541,027,172,255,215,302,016,553,117,
369,004,377,309,016,745,360,388,334,957,147,557,160,968,049,423,199,855,170,
344,194,910,138,760,466,776,305,072,868,186,039,124,068,088,506,957,844,630,
089,667,844,635,945,620,951,269,354,429,238,525,237,189,026,078,220,835,514,
546,988,414,456,204,732,883,733,297,220,915,823,135,306,983,417,210,609,383,
254,105,460,572,747,552,865,283,618,867,744,107,118,897,402,885,392,505,715,
818,902,839,568,798,438,081,719,562,429,401,058,547,974,408,366,726,413,969,
168,369,249,942,567,667,509,028,488,041,456,810,532,768,557,343,710,235,525,
561,848,128,148,161,909,932,561,737,531,580,065,176,144,965,379,581,958,178,
399,873,631,545,227,349,177,968,522,569,575,248,204,440,587,547,572,962,999,
765,063,798,317,899,826,679,349,950,052,447,659,625,738,975,452,085,351,970,
850,160,725,683,274,935,894,868,937,502,139,313,558,472,668,492,928,723,302,
182,379,123,500,595,286,292,085,118,559,650,182,572,684,650,861,471,759,320,
739,199,872,297,922,777,321,941,317,531,023,260,400,985,152,275,026,392,294,
424,898,731,127,960,102,152,661,355,137,680,995,721,974,632,315,288,282,879,
596,861,294,754,540,765,589,106,379,547,564,303,720,082,161,297,438,793,491,
720,849,723,201,776,555,304,663,946,215,031,280,785,100,025,071,446,094,775,
866,030,722,647,708,116,032,521,221,895,923,815,684,111,204,985,895,343,252,
596,144,316,112,244,152,978,958,638,956,273,267,994,600,273,927,946,457,829,
084,373,699,723,758,042,367,067,292,683,236,798,964,580,861,588,493,319,807,
152,037,906,676,840,266,941,304,926,199,698,635,207,630,828,745,527,001,932,
599,890,441,624,275,551,864,684,936,726,737,614,446,990,491,983,532,833,964,
220,355,708,760,356,483,567,295,030,674,561,424,384,916,973,560,846,561,170,
370,427,338,631,181,867,974,900,993,759,040,689,713,908,153,679,313,632,579,
573,997,246,860,173,949,591,847,264,030,782,632,735,185,891,840,882,487,411,
688,964,850,103,116,505,428,262,673,753,349,411,526,708,847,998,663,936,348,
454,499,654,230,939,586,573,474,789,187,574,342,577,799,018,147,602,365,628,
579,243,947,392,145,856,982,282,967,652,959,509,515,559,687,476,466,191,466,
850,893,377,054,793,386,620,617,833,117,928,455,265,660,655,734,362,777,562,
365,537,879,245,430,933,189,618,732,938,302,930,070,995,923,594,683,582,426,
143,682,040,850,137,594,935,540,657,877,617,408,234,564,863,270,876,461,802,
020,841,632,361,065,745,200,942,912,106,455,807,113,068,810,740,161,352,964,
833,179,816,766,210,913,248,806,836,221,981,602,684,020,312,661,964,590,748,
143,171,253,110,737,684,243,090,385,411,391,466,454,948,604,703,972,201,658,
548,354,742,681,368,045,396,767,726,012,471,843,640,563,630,442,565,694,632,
325,312,512,492,430,560,057,126,530,581,793,600,573,319,320,798,915,184,631,
278,335,889,852,205,723,094,974,511,609,590,802,278,046,231,828,875,899,311,
408,716,338,984,666,336,274,744,216,137,574,718,624,297,661,504,153,163,186,
847,832,839,520,162,583,746,287,987,695,378,331,292,539,957,425,434,257,673,
182,127,066,489,231,230,197,386,000,602,037,716,343,035,565,605,852,923,643,
134,446,592,193,889,144,277,681,069,862,043,639,510,730,150,977,200,836,046,
305,690,005,464,441,575,963,598,627,685,409,674,384,154,922,990,509,971,560,
045,911,196,950,609,493,721,070,945,068,662,977,012,592,191,999,021,174,979,
100,515,756,925,228,837,740,394,906,788,939,999,569,644,541,757,838,819,137,
674,482,835,001,720,993,158,991,639,617,617,100,387,615,898,690,164,890,047,
989,412,636,919,975,241,215,308,561,281,099,279,285,280,884,186,300,597,415,
024,366,029,917,396,598,075,033,241,108,987,613,087,651,820,497,515,769,241,
907,009,545,672,358,060,411,908,840,655,349,356,451,970,218,076,717,461,416,
480,060,130,278,534,127,271,400,438,153,649,762,926,303,681,284,761,917,370,
002,144,923,392,857,458,176,145,676,811,295,934,157,143,819,953,993,837,056,
563,106,466,904,223,212,849,298,667,301,932,142,857,001,318,912,355,190,189,
452,568,915,319,376,848,291,968,203,114,221,533,710,386,635,894,591,753,576,
198,181,815,586,266,106,126,993,182,658,060,235,703,976,405,077,112,528,639,
153,004,212,425,097,002,020,496,913,383,962,908,287,571,877,031,408,026,741,
948,390,526,964,432,419,390,828,514,439,190,717,675,196,702,948,410,546,153,
650,007,285,833,864,181,783,366,315,319,521,912,974,932,762,849,865,136,845,
644,304,569,953,146,310,616,814,457,236,476,583,366,252,934,703,343,623,038,
773,557,623,591,872,796,908,869,666,815,389,630,801,189,669,462,283,355,381,
027,196,262,562,766,771,134,688,905,237,763,628,871,896,685,441,525,498,452,
125,363,922,152,268,716,495,470,768,497,164,735,023,361,853,946,174,283,783,
112,226,157,285,667,879,068,646,786,436,043,564,223,102,735,681,489,306,529,
783,360,875,205,852,667,261,206,882,557,758,235,222,795,174,750,435,982,725,
104,912,493,325,080,104,351,306,798,184,410,095,672,382,926,983,343,014,553,
246,979,034,312,072,928,326,460,242,856,480,693,199,740,318,490,180,596,115,
595,237,536,765,267,616,398,472,100,794,136,211,318,375,072,245,210,808,143,
046,526,037,895,222,011,637,752,042,876,116,769,881,487,768,102,853,393,245,
687,154,898,617,506,632,556,495,984,587,014,785,371,453,118,865,825,370,912,
924,561,633,139,419,269,143,928,816,993,255,726,627,036,380,100,305,396,499,
917,416,226,508,095,944,334,986,026,607,276,897,581,720,346,073,156,243,678,
341,045,925,772,469,142,265,609,919,232,812,535,497,381,194,677,780,728,540,
851,224,631,004,543,568,838,439,435,901,986,528,152,134,926,252,666,424,605,
791,591,680,589,677,135,713,589,741,307,740,172,394,766,450,948,074,098,057,
859,750,221,301,511,982,688,919,432,075,565,033,005,725,532,674,701,728,116,
483,749,122,882,507,455,530,969,068,658,186,990,033,925,884,480,537,782,065,
787,572,443,305,039,751,450,367,125,997,694,874,297,324,473,748,315,429,023,
602,788,642,226,115,624,229,671,611,421,597,349,906,514,188,787,131,365,413,
237,739,483,009,946,220,474,440,177,502,773,415,387,901,228,085,402,729,563,
232,724,006,034,131,718,537,312,517,265,196,615,752,644,505,568,005,912,227,
244,863,996,435,355,822,519,852,053,758,261,487,372,526,427,019,514,799,203,
044,915,699,138,914,336,636,757,437,556,317,935,767,746,793,115,062,216,208,
754,019,319,707,464,950,420,320,455,255,104,586,763,731,593,062,113,829,649,
557,829,744,260,716,243,748,500,304,337,594,364,696,083,600,593,644,929,606,
493,966,255,293,045,950,134,962,413,728,931,115,719,887,848,651,535,851,857,
296,555,766,371,143,984,633,400,282,100,282,338,499,087,273,310,914,454,170,
394,356,932,695,416,282,175,327,360,837,429,709,053,279,206,596,441,254,557,
740,920,604,190,169,513,278,295,910,824,637,392,096,825,740,671,797,078,286,
713,512,417,970,153,781,587,660,825,980,554,588,086,538,959,173,023,352,896,
221,292,745,949,138,580,746,568,670,877,559,885,969,944,153,791,854,980,544,
864,009,140,936,120,458,057,320,186,591,689,180,945,309,003,181,734,627,929,
572,255,978,022,717,721,987,561,348,203,246,079,983,554,331,974,148,532,159,
359,585,687,779,742,631,192,415,107,270,241,816,549,988,468,179,893,027,446,
370,152,616,485,343,991,913,373,607,280,513,758,885,092,420,510,552,276,115,
020,358,551,424,433,675,202,898,312,822,501,845,972,857,008,711,674,214,402,
756,493,365,144,390,174,742,791,564,033,452,750,979,164,180,022,011,696,161,
311,089,759,927,142,844,770,432,369,390,196,849,005,234,285,595,861,982,799,
898,696,287,037,604,614,428,923,456,300,238,244,228,258,684,037,443,823,732,
686,276,412,517,699,845,128,401,947,865,074,961,718,422,713,537,692,004,861,
184,615,760,865,179,691,129,297,670,909,382,208,671,222,893,262,177,527,451,
609,222,072,725,813,835,742,979,216,512,824,126,151,906,722,650,501,330,419,
645,282,229,150,670,755,448,177,935,615,894,539,184,413,294,024,940,037,826,
065,982,895,870,285,296,882,931,185,120,206,186,753,322,885,435,059,654,224,
910,945,868,950,826,000,115,630,760,783,736,437,841,004,826,836,275,426,971,
819,704,745,592,515,332,127,328,727,824,708,284,825,263,346,879,917,144,207,
834,945,616,318,442,156,213,902,899,019,435,624,195,352,135,991,501,074,090,
797,473,810,881,863,213,866,628,255,242,324,153,107,074,783,361,854,055,585,
114,046,028,626,008,981,329,844,857,964,134,276,641,150,248,032,895,458,220,
273,683,921,891,566,164,292,544,968,207,652,554,473,704,151,963,337,980,499,
245,701,615,042,544,768,694,452,738,888,643,306,873,724,016,900,206,619,550,
276,382,180,284,112,600,977,787,623,116,271,235,830,156,423,735,536,846,429,
895,815,682,156,015,588,907,784,474,799,540,277,092,666,158,874,504,896,489,
600,116,087,343,340,314,458,291,148,884,924,647,593,229,628,256,562,506,413,
497,228,711,536,318,575,680,581,009,370,956,991,654,881,053,929,899,699,834,
307,189,833,712,911,987,534,572,711,643,834,525,650,257,499,642,140,767,499,
248,989,589,985,169,458,807,346,331,186,790,580,568,225,215,909,198,655,753,
156,156,997,848,636,936,385,325,221,245,247,267,953,308,778,720,088,154,550,
118,531,101,836,440,956,071,415,499,597,142,296,514,289,148,690,145,929,178,
306,202,132,871,724,565,953,411,169,083,904,804,467,663,410,608,234,467,759,
449,586,715,879,133,796,695,535,616,520,031,571,777,856,813,800,147,347,550,
864,572,762,287,144,374,858,750,575,159,779,700,794,462,072,205,260,355,410,
888,049,547,290,796,956,505,003,820,681,878,630,211,837,735,973,591,230,973,
562,013,666,110,072,519,977,935,213,704,728,204,101,533,015,659,182,088,231,
194,481,414,153,638,151,801,624,662,953,100,685,642,983,029,206,424,011,490,
327,492,871,217,776,247,296,079,167,285,236,673,138,281,352,949,078,011,407,
354,281,285,713,062,581,128,666,624,014,272,209,269,629,383,742,936,204,642,
795,099,647,607,875,251,929,730,674,817,674,311,607,032,278,706,467,984,917,
724,304,934,235,842,018,841,862,630,751,380,943,815,715,340,594,765,969,313,
684,061,858,866,675,791,701,688,696,877,699,358,393,212,657,115,549,037,121,
596,437,733,299,671,139,549,421,367,173,654,704,977,380,977,059,330,042,718,
713,062,921,429,978,218,916,329,039,047,680,421,024,157,537,265,495,162,615,
045,391,555,082,728,242,138,579,293,836,364,777,134,664,520,869,388,567,485,
151,486,679,634,092,366,754,876,368,437,375,165,332,729,118,031,866,662,257,
256,085,973,646,816,027,175,567,599,553,672,672,168,783,321,832,750,396,862,
412,238,900,865,947,576,321,691,643,857,003,991,246,862,701,255,245,143,328,
664,810,289,530,571,175,000,250,914,091,534,483,462,071,479,177,083,314,560,
418,502,868,833,489,107,488,160,468,103,187,622,420,662,137,245,379,505,439,
555,249,443,241,410,825,291,965,193,667,484,113,580,578,039,851,631,869,603,
896,290,682,112,033,590,079,242,758,490,723,079,946,477,401,689,855,452,292,
894,220,004,685,490,057,728,538,817,866,207,281,828,947,416,963,417,642,643,
643,103,997,402,849,760,105,341,669,805,766,619,291,866,630,306,183,613,158,
891,175,269,267,456,332,889,291,512,259,343,061,194,531,404,221,218,758,125,
070,070,347,106,579,487,092,212,736,582,584,084,140,341,425,458,238,904,233,
731,490,204,928,158,430,240,535,574,704,432,181,464,095,905,975,960,594,400,
978,659,822,708,617,086,782,171,855,377,605,456,497,329,076,075,191,323,662,
644,085,478,882,506,209,341,431,410,404,841,304,011,493,092,388,523,545,486,
715,397,039,914,102,437,580,084,116,014,103,835,582,028,618,417,288,830,952,
113,672,028,878,174,057,919,659,362,643,383,531,586,228,687,005,656,348,726,
366,912,965,401,814,040,573,425,308,121,501,589,531,367,071,280,638,626,930,
906,940,052,810,474,944,904,086,457,031,092,216,342,534,759,472,866,294,550,
074,211,642,678,518,264,300,097,966,985,454,305,550,226,605,934,506,252,292,
325,137,325,531,912,328,196,200,375,543,019,610,514,164,042,932,406,914,060,
489,285,728,282,108,234,669,547,103,083,094,525,009,177,251,029,323,219,076,
758,458,411,244,808,058,509,676,678,662,976,659,557,644,984,618,835,860,625,
276,600,260,632,829,023,875,249,302,531,139,534,518,171,557,399,815,094,792,
072,263,865,340,795,269,343,226,850,821,784,134,890,864,849,061,347,571,678,
593,163,017,223,207,754,317,806,034,031,984,413,565,677,890,889,064,942,798,
660,916,320,523,754,804,329,815,079,038,411,771,184,737,612,078,219,465,870,
567,111,983,631,275,073,940,292,839,421,586,724,180,658,665,856,645,590,031,
559,330,463,853,897,706,268,253,412,592,248,184,882,285,923,318,759,904,998,
332,584,364,377,267,537,438,717,631,929,995,821,708,230,189,553,921,560,869,
113,080,376,939,738,430,806,723,055,298,784,069,434,411,039,993,705,912,502,
587,706,926,332,093,430,978,824,667,696,356,830,467,237,013,392,418,671,007,
464,454,934,164,317,917,732,488,724,097,725,879,808,159,461,431,191,906,550,
805,760,558,047,158,202,551,713,515,283,963,964,039,246,476,958,345,335,578,
204,145,403,637,026,408,531,789,557,985,261,191,910,568,115,539,323,478,997,
139,665,717,081,834,431,660,966,918,103,352,406,180,134,459,229,470,290,671,
345,257,194,988,216,831,886,130,497,761,167,185,153,694,786,448,369,288,584,
649,748,383,224,692,425,238,858,410,198,167,802,190,481,893,392,060,057,739,
859,928,393,510,440,816,990,068,489,309,617,770,857,143,066,280,134,773,590,
433,962,814,155,893,912,226,981,072,676,429,727,503,176,640,921,794,295,890,
639,838,272,151,174,757,849,589,212,455,231,752,355,208,415,118,989,309,461,
032,010,505,143,912,701,331,006,690,194,797,903,910,700,920,975,266,541,455,
774,201,623,285,582,884,985,051,238,239,748,787,743,711,174,968,653,967,983,
107,384,783,774,854,879,966,970,647,890,029,335,003,850,498,531,632,715,707,
767,885,111,207,444,060,437,309,263,596,486,837,342,474,447,104,674,743,190,
608,140,743,539,286,114,943,244,568,576,444,572,989,754,668,746,715,458,797,
830,996,015,948,293,330,645,328,478,778,265,976,247,458,046,751,884,526,392,
316,056,513,485,800,607,141,006,470,026,274,585,325,779,893,999,147,964,563,
802,618,366,587,656,787,327,124,620,937,460,046,822,087,446,405,799,605,112,
625,806,254,635,850,729,936,296,930,331,336,434,583,130,453,203,627,590,424,
702,879,854,212,303,490,862,114,448,288,363,161,989,987,854,471,615,528,751,
660,777,128,418,842,014,452,035,053,003,811,235,909,193,729,699,018,020,052,
001,180,755,570,356,031,841,542,164,642,871,841,163,416,022,773,263,297,162,
466,665,359,872,655,206,462,682,375,264,303,855,422,491,308,395,841,115,097,
042,943,888,086,001,229,301,126,284,767,437,896,250,949,326,657,436,155,506,
167,619,799,046,641,762,565,837,764,062,907,502,952,587,004,821,983,406,189,
568,236,623,517,140,347,433,312,344,124,392,738,505,964,294,945,966,415,315,
204,597,034,237,093,746,026,405,853,434,988,048,163,466,741,201,327,659,525,
847,642,289,499,128,965,927,834,118,788,706,773,966,909,051,849,829,489,670,
632,297,770,834,328,599,974,534,544,422,776,697,061,222,087,760,434,074,182,
801,197,186,779,659,255,679,377,243,247,028,235,907,137,001,523,632,901,381,
726,962,967,137,364,069,231,095,314,762,524,763,136,230,538,105,259,069,282,
860,446,970,476,482,793,115,439,353,052,750,973,494,696,861,095,907,210,673,
387,451,003,161,828,738,423,919,997,189,605,989,328,536,779,933,695,025,919,
166,435,504,590,176,816,659,722,017,609,424,401,857,213,437,159,889,162,305,
933,505,952,420,113,415,162,066,774,634,517,286,847,959,256,309,791,845,021,
792,332,519,232,770,459,508,257,534,562,820,318,296,359,992,808,456,767,210,
541,075,634,906,794,400,515,486,817,819,204,860,766,860,496,345,131,795,314,
441,572,447,060,397,222,507,952,273,595,611,046,805,805,941,471,697,759,511,
198,144,236,124,223,275,696,965,145,792,093,869,756,460,172,257,827,073,383,
477,139,077,254,967,474,183,663,199,041,084,667,016,101,967,027,097,423,709,
024,969,079,721,590,268,549,855,343,570,163,680,534,165,248,463,812,164,883,
853,917,428,087,101,109,062,390,190,300,929,886,809,519,086,963,415,322,728,
565,689,239,148,981,732,488,545,241,809,923,656,125,721,473,916,136,746,473,
897,847,786,950,397,217,372,300,979,379,739,950,393,582,602,206,831,971,762,
573,314,255,098,899,057,591,918,996,884,978,904,827,220,982,601,531,763,146,
585,803,639,574,454,526,285,669,618,409,651,733,505,147,850,167,509,612,409,
825,335,669,648,777,427,684,322,593,177,585,719,671,402,990,869,437,165,815,
454,285,223,807,115,453,466,030,995,963,237,492,100,913,950,388,481,904,612,
003,143,515,102,840,979,181,430,496,963,539,696,046,964,908,055,644,661,519,
560,391,055,867,911,360,125,729,620,331,660,931,304,056,235,428,709,315,221,
301,404,602,751,577,192,251,887,955,397,506,564,123,533,474,057,240,536,856,
274,822,839,804,488,750,101,936,183,458,373,002,316,868,801,258,217,902,017,
201,468,042,481,345,774,906,250,017,692,987,776,805,132,987,252,564,615,090,
847,500,016,272,059,329,921,591,504,799,997,644,504,887,916,331,633,220,169,
055,971,216,442,407,704,606,080,747,826,023,693,378,188,297,137,590,569,277,
851,545,454,629,963,013,104,094,447,875,283,269,314,351,147,659,905,601,655,
482,249,287,722,264,403,515,721,066,089,168,174,517,059,890,445,239,316,939,
824,125,097,956,099,904,098,778,660,342,478,447,596,051,429,856,364,158,639,
382,886,989,300,607,539,079,780,184,887,125,610,290,458,306,806,905,336,681,
252,234,834,405,253,344,784,087,599,048,806,133,588,653,846,349,518,688,894,
808,249,530,173,772,815,177,339,075,929,893,879,642,391,481,951,038,241,565,
457,212,424,169,207,926,412,705,435,021,157,732,786,731,597,263,744,407,233,
321,384,081,919,072,825,488,229,964,041,365,780,771,340,014,004,679,228,034,
528,722,054,109,314,116,203,445,554,718,496,331,384,862,848,765,026,510,400,
658,754,767,833,588,223,044,039,842,889,844,402,717,064,343,376,131,311,004,
390,362,814,983,272,338,864,663,948,191,850,351,790,031,889,033,962,202,505,
476,940,320,629,029,625,817,496,930,314,793,247,013,399,402,209,996,090,786,
278,287,746,728,847,324,625,889,394,643,322,409,348,482,491,290,521,321,660,
367,739,343,289,969,555,104,148,808,315,042,144,980,579,402,446,984,806,519,
054,799,410,794,531,447,059,731,996,965,492,700,278,450,411,440,546,915,271,
800,446,425,652,034,704,829,993,545,614,385,575,162,493,061,234,366,690,014,
936,456,659,967,524,368,994,859,736,268,048,895,398,257,423,330,456,681,524,
846,772,131,745,478,030,643,992,455,420,516,534,371,353,368,395,167,238,785,
189,588,525,530,178,934,230,274,788,708,985,358,406,467,069,297,747,166,075,
991,317,810,311,715,300,442,871,860,923,233,476,737,393,520,834,546,741,755,
285,476,026,730,372,606,538,572,720,590,573,826,123,419,871,950,467,771,915,
378,004,565,013,010,859,525,874,483,301,938,340,173,431,908,818,219,493,211,
461,294,840,948,243,579,045,303,793,544,125,083,454,324,287,100,060,211,568,
859,917,310,080,884,492,561,412,272,738,860,477,157,145,914,536,869,641,968,
698,359,889,142,705,017,051,890,716,945,711,916,930,960,911,618,261,420,666,
571,628,008,574,902,887,951,514,165,361,445,562,254,515,699,267,309,426,822,
943,290,382,279,176,480,918,750,379,289,892,288,949,044,384,064,094,123,822,
392,379,690,295,274,807,532,247,130,748,356,716,137,038,541,977,054,861,380,
106,277,031,984,171,698,391,874,707,280,410,811,201,287,292,712,804,702,456,
440,399,733,329,118,523,053,666,326,564,004,306,598,810,316,981,972,979,060,
794,545,134,962,574,311,329,918,257,209,261,185,522,706,598,150,093,033,996,
318,000,627,667,174,402,223,495,289,617,033,534,596,386,973,254,407,791,342,
691,072,884,003,606,507,192,004,452,715,208,575,040,332,398,411,865,191,658,
009,134,922,167,379,453,142,893,718,842,092,760,993,350,865,148,664,093,551,
403,295,695,731,658,764,253,819,941,282,497,838,240,839,829,420,473,833,938,
713,953,584,450,197,677,334,001,290,935,733,151,309,542,963,388,919,651,129,
140,287,187,208,083,205,396,420,032,916,452,596,046,458,944,496,905,950,342,
637,716,104,419,126,584,515,916,618,018,268,789,753,179,759,536,126,489,910,
504,295,030,849,928,210,716,801,576,514,345,862,379,503,456,315,373,632,230,
253,195,781,161,791,336,921,016,296,354,615,968,594,272,098,374,956,687,310,
837,773,606,787,227,399,494,025,952,338,142,904,018,358,161,956,585,345,257,
251,587,071,125,153,210,694,332,063,602,729,759,674,834,471,398,697,794,606,
137,334,198,588,948,954,892,887,799,457,725,902,781,268,250,581,476,204,585,
133,655,351,314,248,704,766,791,964,852,061,798,301,756,439,403,870,919,475,
504,736,412,668,458,695,103,043,174,760,629,940,365,668,605,265,201,478,616,
065,957,602,395,215,197,763,954,722,908,424,291,607,963,536,348,325,004,637,
294,377,010,988,387,740,739,460,101,696,146,720,767,195,939,021,646,635,319,
362,384,911,266,178,631,547,410,322,400,621,198,394,422,507,559,299,669,723,
712,464,303,378,323,494,211,173,779,290,430,776,778,377,060,675,039,041,147,
980,765,962,414,022,599,345,664,536,231,605,449,994,108,775,374,028,208,210,
763,664,548,502,453,430,639,545,769,052,865,722,790,741,440,672,419,277,645,
849,431,650,634,215,194,654,937,868,658,306,180,727,073,472,531,185,409,786,
842,214,201,446,487,205,958,270,413,224,880,938,697,844,497,793,384,964,437,
593,732,655,657,371,072,907,164,555,189,143,177,968,680,204,758,099,920,492,
568,277,600,625,495,935,364,530,645,024,515,530,764,934,125,300,015,230,672,
699,201,902,698,379,045,324,820,675,357,885,881,026,102,090,977,658,952,643,
088,053,104,903,606,994,031,031,911,217,402,766,616,944,395,266,898,114,941,
801,211,584,992,035,164,138,556,811,941,488,332,158,323,343,801,920,639,695,
515,518,396,711,991,853,796,923,045,609,621,953,354,159,217,819,149,904,393,
698,144,523,867,422,303,481,764,773,744,241,330,582,677,584,981,039,960,263,
059,259,334,874,641,378,139,725,214,760,287,754,159,455,244,758,360,049,958,
450,543,038,638,837,035,983,923,898,109,740,291,447,638,556,746,679,828,713,
000,286,888,054,829,256,778,666,941,349,154,725,809,747,725,745,708,057,599,
497,459,405,417,767,576,702,359,610,160,914,055,379,273,018,500,814,478,018,
765,801,072,749,682,231,434,315,689,814,034,500,460,386,453,590,954,421,385,
947,013,193,937,165,567,201,453,089,479,269,545,561,135,629,102,284,582,294,
092,222,871,849,769,500,784,076,845,601,396,732,537,232,196,709,685,159,978,
047,914,925,276,616,007,769,164,104,731,987,704,075,876,237,900,643,648,580,
666,178,386,405,971,636,184,144,035,253,404,614,171,278,820,554,543,365,034,
219,901,364,905,763,894,467,850,927,252,205,800,122,096,436,135,804,822,027,
586,249,256,247,881,801,754,596,050,591,970,168,085,759,429,551,942,218,699,
005,053,993,705,393,759,486,962,563,358,924,232,727,452,211,754,699,351,157,
643,875,363,854,363,498,095,890,895,418,159,179,712,106,537,130,298,615,301,
379,973,777,542,485,920,067,764,550,484,395,703,763,775,060,179,056,711,818,
383,289,083,047,089,775,206,915,862,053,283,744,498,047,095,217,339,669,724,
871,615,986,232,734,572,758,167,156,353,767,912,497,932,894,754,089,453,522,
922,322,251,412,037,683,639,461,517,074,467,558,067,817,255,593,071,520,074,
445,687,119,355,863,171,295,353,880,526,298,873,174,460,996,138,698,743,122,
970,481,132,755,610,410,163,589,073,084,347,311,581,264,750,686,089,079,542,
912,371,916,591,671,430,652,182,743,721,631,008,318,478,844,932,551,640,958,
513,977,390,030,671,323,338,792,216,374,543,853,318,673,052,015,685,920,867,
664,253,264,787,890,896,474,767,992,673,302,616,683,885,996,847,661,245,808,
920,112,888,617,577,750,274,623,094,080,812,986,295,152,687,690,676,254,752,
249,152,545,320,311,877,580,442,881,426,654,314,836,687,131,526,382,602,704,
170,190,552,403,759,476,668,261,957,990,299,996,184,671,230,204,500,672,713,
500,967,264,259,735,168,924,392,208,037,406,218,369,687,246,418,303,373,958,
458,818,755,994,927,726,259,043,999,906,063,671,336,550,364,664,333,918,046,
909,588,660,489,750,928,240,729,178,190,208,385,762,064,612,793,695,902,618,
808,395,751,479,229,339,828,058,711,209,964,805,232,973,977,834,296,398,235,
688,859,774,405,772,832,972,369,263,604,858,560,794,151,835,871,331,580,527,
889,739,641,888,601,591,302,080,763,106,064,947,966,232,723,342,548,704,114,
321,807,324,862,703,042,490,064,070,817,919,432,029,389,253,644,018,151,222,
635,576,759,934,725,613,302,072,929,703,513,597,780,398,720,380,294,544,364,
611,249,543,176,198,164,128,078,767,665,984,873,498,667,622,088,245,842,755,
924,035,190,261,347,484,524,914,417,522,482,293,001,149,463,261,261,345,066,
239,800,439,636,108,085,572,495,663,789,235,047,521,012,390,610,686,798,586,
284,624,757,036,501,121,540,915,814,011,793,152,863,461,104,242,458,174,692,
231,419,681,717,087,349,137,164,965,399,004,760,053,319,957,917,512,482,656,
989,311,360,692,666,413,249,069,240,780,536,101,256,566,792,121,179,367,518,
709,567,456,905,588,769,452,394,339,933,486,504,432,796,637,784,176,204,357,
788,988,524,006,526,941,070,669,761,291,472,205,056,752,697,233,311,369,282,
965,393,343,178,125,103,999,380,684,310,775,142,538,344,841,498,408,081,941,
686,600,816,012,698,281,842,843,078,144,266,017,319,733,066,469,006,542,175,
539,171,114,284,133,478,955,586,011,220,710,798,540,352,096,620,315,764,460,
054,597,639,123,659,989,863,476,043,344,479,106,628,854,194,440,867,962,755,
401,383,523,905,646,128,930,417,344,959,643,033,057,556,447,585,211,743,443,
501,804,858,805,944,690,210,078,581,656,943,706,084,966,419,334,057,894,362,
525,543,690,901,630,493,062,852,922,506,286,270,691,793,561,577,160,205,248,
251,867,815,395,286,565,277,284,277,664,394,341,966,357,031,474,735,459,662,
396,989,003,511,392,526,404,649,524,248,653,842,358,659,634,431,680,030,110,
507,849,536,753,349,790,945,795,453,522,467,372,240,834,132,610,764,271,142,
787,032,313,118,912,185,672,668,344,007,191,551,410,675,295,715,124,222,037,
884,203,451,601,612,196,000,042,798,703,052,212,921,818,002,352,554,148,527,
707,061,044,594,783,745,181,758,354,503,574,534,269,580,939,143,178,275,467,
735,381,072,852,320,134,014,437,125,298,768,440,483,200,492,398,786,205,492,
202,518,480,162,124,385,665,925,465,552,517,850,215,283,028,462,580,493,876,
137,108,655,386,916,056,030,278,248,567,313,799,739,997,752,427,791,309,263,
829,260,705,851,358,555,818,612,707,529,076,120,374,402,239,334,580,909,219,
976,218,110,591,570,634,008,021,872,292,720,405,090,782,765,985,128,638,789,
629,986,804,740,943,219,106,270,795,852,289,888,129,471,163,969,757,375,267,
887,753,685,051,938,610,431,007,424,703,817,955,264,720,440,268,400,396,925,
307,658,832,443,952,778,193,431,295,216,590,590,422,337,323,472,298,836,823,
406,207,443,924,500,262,487,356,422,538,007,544,578,450,727,648,247,598,588,
149,427,528,417,846,518,855,019,288,103,753,967,799,423,721,559,636,464,813,
987,765,827,130,929,232,494,100,988,467,310,311,841,350,363,759,515,290,342,
341,871,947,724,411,836,751,574,938,880,955,427,025,449,511,543,095,741,266,
322,188,370,034,183,591,004,444,632,057,307,137,437,163,923,085,659,238,082,
348,068,198,095,557,458,989,780,549,055,260,721,535,971,578,389,342,343,174,
178,082,694,056,672,281,671,048,612,574,909,449,317,993,991,653,317,652,867,
584,501,399,099,316,779,542,109,992,486,952,437,133,788,590,554,096,530,978,
086,480,189,113,039,545,499,305,889,686,744,031,101,472,463,227,492,003,782,
815,977,593,040,476,304,379,887,875,154,366,553,600,183,195,885,977,661,932,
657,234,331,611,351,275,930,685,087,983,718,335,758,696,727,239,672,889,535,
441,601,106,518,973,856,680,254,836,077,155,299,534,827,438,588,282,225,333,
792,590,356,580,139,715,858,879,700,684,284,180,152,973,292,771,359,506,958,
003,690,329,627,497,724,477,202,111,898,029,242,413,940,958,633,562,626,846,
005,794,335,746,143,327,798,169,389,220,738,721,792,010,054,663,131,864,760,
450,966,481,734,119,795,442,425,198,682,931,158,037,180,120,281,745,383,654,
336,051,398,118,805,509,742,999,573,443,734,369,342,496,288,777,773,638,640,
800,080,803,883,377,368,949,433,182,718,908,584,130,148,141,372,835,682,139,
618,426,641,044,464,426,429,551,007,448,839,916,745,605,390,575,582,273,766,
296,602,502,465,148,555,932,284,628,285,428,603,097,304,984,712,969,765,528,
471,619,111,046,507,740,076,596,369,254,951,572,540,022,450,202,109,926,592,
566,839,016,293,062,856,877,708,992,228,844,710,852,704,896,640,442,444,680,
935,239,064,170,267,870,050,497,258,448,872,101,794,511,723,880,266,236,953,
426,891,586,870,639,725,676,644,056,973,484,363,743,770,249,290,378,145,465,
463,718,613,048,313,700,665,953,282,586,555,214,284,597,100,746,796,685,906,
641,961,203,389,039,965,968,014,234,692,855,646,269,378,543,606,495,221,015,
055,456,438,896,155,965,439,775,920,191,522,390,095,858,940,232,935,096,657,
853,950,240,831,277,631,129,039,887,772,203,844,462,245,329,231,942,413,604,
533,584,563,887,678,994,223,474,731,240,269,549,620,961,853,926,758,584,515,
683,936,720,371,220,504,817,660,378,073,749,903,510,480,019,932,859,887,456,
734,400,732,850,701,658,069,613,904,193,028,123,254,320,715,514,818,058,871,
216,992,673,252,399,293,012,988,201,595,459,274,913,727,115,689,934,276,965,
134,388,606,478,207,900,424,184,373,230,215,081,582,117,890,079,819,628,300,
017,258,723,516,432,752,952,307,637,356,340,672,196,379,187,405,372,317,112,
071,371,823,220,689,774,979,020,911,714,681,980,777,827,412,500,773,178,993,
325,900,207,525,317,060,327,812,961,762,451,028,577,120,699,455,288,159,584,
433,751,180,974,755,126,582,195,257,654,370,049,509,715,700,027,862,500,796,
477,923,634,899,565,888,544,334,146,086,797,607,025,928,934,107,555,888,592,
775,468,505,955,780,390,237,092,333,088,000,503,822,013,646,635,327,816,381,
773,359,845,317,275,548,657,179,201,355,770,591,742,208,047,255,020,298,855,
852,197,778,534,029,920,797,782,713,365,588,596,979,454,053,260,149,728,004,
298,455,256,913,878,197,560,296,896,610,937,397,450,709,474,252,805,366,608,
816,722,508,286,626,934,651,366,788,580,592,334,052,528,175,799,407,657,947,
296,581,638,116,434,990,970,057,308,800,280,260,423,471,305,537,054,091,177,
886,685,238,647,128,320,166,404,340,549,822,908,638,896,800,621,842,377,636,
163,538,740,280,200,687,864,195,476,411,794,069,442,646,149,495,747,698,856,
793,534,017,598,713,124,892,018,137,034,638,246,431,017,727,057,368,238,643,
500,419,467,208,681,646,285,285,343,479,640,143,782,233,261,594,672,864,110,
933,913,727,646,402,146,999,205,953,700,793,897,650,888,641,782,905,285,833,
160,087,823,213,187,026,339,024,081,129,331,375,749,967,597,856,174,069,472,
107,437,496,053,312,504,470,867,030,856,608,644,629,276,520,274,682,156,689,
548,242,194,034,081,600,154,552,919,153,408,100,644,052,637,078,388,565,482,
519,831,883,856,315,377,400,562,531,040,010,879,554,271,064,266,927,216,364,
086,442,466,400,557,652,504,746,871,428,160,992,479,843,174,837,306,904,341,
912,305,361,065,984,629,858,346,760,932,444,170,317,098,572,352,335,799,556,
968,581,703,469,822,243,825,466,733,475,314,322,932,052,543,876,984,542,933,
160,100,883,823,311,323,092,447,772,752,231,955,982,806,466,701,698,305,509,
193,156,110,854,905,707,771,564,136,394,228,822,842,880,378,205,502,888,100,
096,511,341,294,396,508,834,502,088,361,319,655,101,195,962,303,383,147,950,
101,866,231,942,095,996,870,117,260,668,057,243,717,451,746,899,985,142,981,
057,682,561,965,896,973,639,642,511,650,860,418,439,411,158,520,879,049,504,
855,255,144,346,412,826,530,152,014,911,218,783,958,018,371,139,438,097,967,
590,553,814,791,931,627,037,995,643,349,247,157,917,382,447,237,666,536,140,
513,576,277,147,226,464,799,069,198,535,262,742,771,732,706,512,662,642,829,
647,341,255,410,197,755,227,763,708,090,634,413,023,889,165,476,329,434,783,
558,135,015,236,593,973,558,707,010,885,698,013,787,800,271,749,130,264,264,
457,236,414,950,778,849,094,633,922,490,031,243,925,390,320,419,830,946,025,
265,823,283,693,079,218,239,821,302,219,264,800,219,587,733,591,497,655,843,
193,078,926,401,645,028,680,005,224,276,888,190,862,576,392,984,943,186,564,
658,789,038,653,178,492,342,367,882,748,041,035,907,049,843,711,830,922,438,
573,053,607,094,539,912,999,841,931,743,323,578,409,438,321,635,687,698,452,
926,860,313,310,691,744,670,127,381,020,746,297,732,264,591,975,902,369,550,
150,436,625,357,567,926,720,937,911,638,439,118,451,490,170,245,660,609,425,
511,922,665,334,939,041,323,146,517,968,374,102,745,436,222,438,449,515,161,
828,372,196,307,517,240,467,862,256,590,846,763,497,580,449,926,369,452,616,
571,760,898,896,096,868,339,731,213,913,041,959,398,233,167,311,985,509,639,
144,751,415,567,980,634,970,267,527,578,257,173,143,238,931,242,382,626,554,
411,441,600,106,787,355,454,095,136,722,820,057,489,887,202,230,053,589,629,
613,927,522,017,678,022,608,518,324,335,205,981,777,356,615,422,294,215,873,
580,468,818,634,484,780,318,937,229,477,146,042,462,687,682,065,589,936,318,
457,837,670,022,670,025,321,161,095,145,665,884,412,026,030,285,257,066,717,
046,369,624,967,223,111,767,262,206,791,135,280,852,468,551,239,494,715,603,
598,501,212,205,989,985,150,905,123,738,527,727,208,855,397,627,779,826,190,
436,928,919,282,357,971,023,904,495,930,458,480,045,090,934,427,840,568,520,
873,322,937,426,812,153,768,985,796,147,695,881,124,588,255,492,045,510,068,
915,966,197,819,596,584,248,999,355,970,919,730,020,646,088,693,783,982,553,
285,514,302,812,095,391,575,716,445,345,445,191,835,100,491,305,061,034,042,
534,860,471,107,391,830,936,864,545,753,525,206,760,954,116,038,480,679,226,
934,517,662,572,875,029,308,112,691,320,457,058,897,165,863,165,532,615,240,
121,595,923,951,477,062,492,058,588,603,303,352,162,204,993,260,993,110,658,
994,741,487,762,061,272,040,916,561,884,666,044,479,512,588,591,123,015,606,
576,114,971,765,470,713,329,785,468,322,650,108,363,764,475,213,392,680,662,
673,311,522,600,919,563,631,687,469,949,640,281,034,318,700,376,712,744,924,
791,078,686,470,562,807,416,568,578,740,003,983,717,662,163,609,863,322,204,
787,637,148,448,920,880,444,596,685,005,001,115,664,729,872,678,469,909,144,
519,636,707,664,229,677,440,403,905,607,005,069,411,093,329,807,915,242,477,
066,325,155,008,295,844,017,660,514,919,940,273,847,680,958,627,889,297,297,
568,882,547,554,817,260,156,392,359,845,064,710,880,785,386,821,543,256,726,
233,021,239,219,469,380,246,786,031,410,113,371,735,787,886,772,432,614,587,
111,634,415,086,124,859,200,208,342,297,823,816,279,813,094,974,277,660,891,
969,661,158,569,498,611,754,410,689,953,484,388,494,822,480,880,637,174,327,
104,739,299,157,544,731,134,266,612,750,726,051,485,791,151,500,434,073,344,
994,642,197,919,423,990,815,919,800,977,995,919,373,718,167,908,558,087,891,
646,253,216,398,262,222,943,547,599,974,132,297,954,680,385,419,866,772,316,
334,831,533,367,224,654,147,188,748,002,402,223,829,404,511,101,635,267,148,
692,878,687,078,701,099,798,270,217,234,861,947,315,259,015,587,215,389,670,
589,541,718,868,812,971,096,495,361,978,284,904,266,643,828,348,186,182,135,
697,049,834,886,781,770,683,452,717,561,054,980,015,339,829,091,425,455,945,
007,389,835,330,367,088,027,815,756,801,046,021,497,864,534,073,698,575,305,
651,011,750,841,781,200,754,447,466,881,646,508,382,327,039,452,620,016,426,
515,551,787,896,793,970,991,679,412,882,700,238,644,403,872,378,378,334,063,
469,297,762,306,805,616,730,050,492,665,518,935,553,440,066,265,268,536,899,
844,833,070,756,523,572,519,956,113,148,497,181,651,452,892,551,347,858,222,
821,638,158,869,730,158,818,972,680,096,368,871,539,435,445,056,010,604,131,
009,203,588,270,549,410,170,285,690,965,963,243,553,949,467,650,697,374,064,
475,128,107,930,102,626,881,107,335,226,146,854,673,291,545,643,938,127,373,
153,300,672,502,761,933,878,560,400,864,345,564,580,553,827,482,730,194,591,
136,424,458,550,862,557,017,170,461,741,556,991,655,378,408,704,265,833,267,
296,129,046,867,544,533,795,063,832,581,496,533,495,544,219,357,477,456,124,
097,751,326,609,528,545,132,036,512,115,835,190,632,772,475,521,123,617,282,
564,468,969,390,724,181,176,915,248,660,085,180,948,469,419,760,410,612,625,
857,580,914,772,856,184,788,959,211,112,531,221,641,008,723,289,142,347,787,
295,095,858,291,108,810,213,093,179,839,708,678,028,874,536,917,631,061,785,
631,374,194,942,002,408,984,414,677,046,144,940,829,097,068,286,102,237,249,
322,014,699,580,135,858,411,568,305,102,224,891,922,773,624,427,116,705,569,
444,873,191,258,734,244,055,460,860,312,890,462,586,171,430,173,516,973,042,
200,733,365,729,357,283,281,156,613,796,944,453,127,948,966,724,574,482,394,
304,562,266,364,198,795,211,103,667,537,236,309,271,159,220,744,694,754,387,
471,835,526,207,220,633,961,518,212,108,034,406,313,632,637,707,743,844,647,
817,962,104,760,812,650,639,219,091,701,174,231,901,381,084,359,581,676,403,
471,260,118,254,353,495,715,600,580,072,438,906,324,684,758,726,920,711,267,
213,576,640,295,180,815,569,061,401,227,208,920,899,240,315,431,186,070,539,
752,544,139,519,245,254,712,297,523,263,987,290,240,356,326,154,103,636,061,
514,968,902,010,374,729,021,601,759,727,042,792,330,679,305,392,424,777,218,
799,642,877,932,196,541,531,867,403,013,525,112,600,284,441,669,240,038,266,
157,933,266,181,050,542,120,670,667,333,448,458,970,238,125,370,393,861,968,
437,973,145,443,892,911,508,486,523,302,706,290,243,349,620,268,464,972,475,
952,164,322,663,384,691,251,502,077,682,780,381,298,359,614,780,347,085,741,
531,087,581,121,624,432,611,121,003,941,601,916,387,305,640,229,467,274,682,
480,698,131,660,192,452,519,222,331,480,775,659,881,794,229,962,107,170,014,
940,412,916,835,398,501,832,408,928,452,936,160,429,565,753,949,819,014,501,
457,409,069,362,506,973,315,871,729,184,909,807,992,700,444,395,522,020,292,
638,468,206,419,526,979,261,406,204,910,970,952,354,572,916,307,308,232,654,
293,629,603,658,888,662,722,944,517,462,505,999,042,543,865,755,196,805,525,
489,804,565,848,756,267,482,878,735,235,551,705,702,803,591,106,765,073,939,
026,908,494,350,562,928,809,057,302,882,177,560,599,648,458,459,167,186,233,
148,903,980,078,312,466,149,780,083,586,350,125,372,575,824,855,131,655,553,
618,704,804,716,921,170,974,335,846,695,199,023,204,195,616,391,613,205,889,
432,116,820,693,926,509,247,177,096,288,026,829,078,621,626,036,938,837,873,
164,261,708,388,514,707,485,604,414,696,012,759,685,943,486,461,725,292,355,
125,939,674,627,598,566,163,570,819,159,891,178,244,366,918,662,939,344,401,
527,153,077,020,405,896,053,893,977,929,469,398,327,332,494,214,753,336,709,
832,996,900,844,311,983,795,608,369,882,319,377,036,168,479,026,575,881,169,
405,784,844,834,198,923,044,743,914,812,406,339,104,722,374,287,791,108,695,
212,130,941,579,839,888,096,737,383,693,624,969,410,935,563,313,016,978,713,
563,277,723,259,125,588,782,369,490,054,506,136,852,646,931,952,530,256,697,
012,111,780,915,511,774,568,936,521,037,617,934,027,736,121,462,048,424,913,
553,733,100,489,312,174,365,667,874,007,994,679,567,697,606,267,488,464,172,
162,220,190,605,322,376,773,992,546,203,682,370,330,146,566,174,495,143,554,
338,886,496,987,966,059,094,764,028,251,864,355,528,906,778,745,311,445,114,
195,130,621,691,717,992,685,244,145,892,010,427,411,894,358,484,937,820,354,
463,845,563,052,072,046,682,516,903,099,099,877,060,908,607,344,657,743,831,
786,513,580,193,557,384,506,782,808,577,843,807,219,257,210,753,600,859,232,
843,653,385,304,905,351,123,931,226,453,268,144,630,511,920,066,411,415,873,
802,667,092,414,977,427,636,435,213,049,770,874,758,160,798,451,175,721,099,
877,183,538,842,498,862,246,564,418,224,627,104,380,916,849,594,517,678,911,
301,475,429,116,535,988,028,414,919,585,959,609,227,776,442,317,324,624,893,
707,038,046,214,906,583,585,585,115,002,501,789,932,375,211,664,281,299,307,
791,104,835,566,239,955,461,620,686,762,366,466,010,882,469,666,126,363,597,
835,761,939,899,461,281,058,506,794,100,078,741,560,166,185,731,849,566,412,
796,695,846,914,853,290,391,071,299,274,979,304,198,590,733,688,469,591,615,
843,370,250,561,069,824,223,142,938,205,160,506,617,510,612,184,997,164,188,
856,914,012,064,848,607,336,124,514,718,522,612,312,631,846,745,774,322,801,
998,926,709,264,971,135,263,164,146,266,160,797,577,402,736,402,081,885,075,
122,813,198,575,164,808,767,475,517,278,540,771,148,128,320,334,111,523,335,
694,787,782,472,716,015,595,635,345,757,132,529,301,724,434,192,666,264,263,
405,361,594,142,879,110,605,565,305,969,312,260,915,331,444,309,889,341,574,
715,705,880,913,586,609,040,145,812,789,051,857,882,152,186,823,297,301,290,
382,047,359,072,045,143,008,743,578,299,152,647,960,462,990,927,342,540,474,
918,990,815,218,137,040,660,483,948,664,491,154,093,805,467,122,194,354,426,
806,221,898,709,137,662,885,244,876,649,643,343,869,765,252,292,401,886,142,
415,215,872,157,766,234,619,963,491,959,272,643,813,948,394,340,225,800,664,
732,702,970,159,535,616,782,775,844,301,063,418,343,993,628,367,648,262,480,
229,855,550,232,569,182,099,329,125,846,167,311,842,126,621,624,920,966,978,
676,041,622,793,109,101,713,373,635,069,820,688,713,014,552,622,913,165,932,
299,666,228,767,733,145,691,191,408,654,496,571,019,550,711,425,549,980,172,
936,329,731,988,402,240,320,669,259,433,584,884,040,411,174,815,789,933,660,
544,806,335,486,716,166,797,150,740,097,176,820,300,875,037,487,288,567,203,
526,630,588,869,023,633,319,266,780,970,835,562,994,148,792,686,797,058,539,
467,598,324,610,815,457,696,917,152,025,313,481,655,782,167,130,444,426,674,
242,694,179,398,160,196,694,276,968,877,062,435,118,338,531,229,224,731,843,
931,870,710,956,801,179,198,545,220,495,363,842,958,315,479,431,694,887,365,
659,885,557,615,668,371,325,770,664,250,036,091,868,392,869,285,724,701,630,
768,592,759,935,671,126,223,683,498,866,757,389,389,629,259,732,715,453,189,
098,829,542,807,147,859,654,489,298,748,346,256,053,395,558,301,786,417,578,
269,076,973,000,225,434,252,872,610,210,013,823,629,197,517,654,646,479,841,
735,904,713,853,394,738,298,014,535,239,950,524,089,917,651,584,445,601,558,
993,681,487,821,825,398,282,308,959,002,343,659,130,466,120,584,152,828,584,
488,921,653,449,598,668,331,536,956,128,949,217,744,465,406,746,326,492,789,
462,161,557,292,363,521,257,384,818,747,928,286,224,399,784,155,315,015,723,
615,468,228,149,121,098,214,038,075,818,949,989,710,155,842,041,062,162,908,
626,557,783,432,732,371,854,292,756,778,863,510,144,062,247,932,955,521,042,
811,562,106,463,858,203,266,411,199,596,641,411,258,913,650,549,679,366,825,
621,240,487,547,409,792,604,629,659,041,608,436,367,981,198,222,356,319,592,
709,447,136,560,273,799,229,295,300,446,515,908,976,083,470,224,288,472,982,
205,759,774,632,058,844,022,629,313,286,508,672,440,232,863,537,684,153,813,
840,077,126,144,790,253,888,506,434,830,274,379,440,113,154,025,081,668,312,
853,227,516,740,355,746,642,423,730,400,125,590,963,522,215,219,203,611,828,
853,715,017,656,001,069,808,754,358,323,509,703,270,316,771,850,857,271,846,
714,284,835,404,599,280,820,628,797,867,769,100,250,072,395,097,235,126,648,
568,634,939,246,591,434,452,839,555,325,975,263,672,760,103,335,766,269,876,
398,282,892,270,833,693,417,331,908,059,004,714,920,671,332,686,045,764,856,
708,198,526,458,466,612,041,355,656,414,620,726,078,157,774,568,265,057,795,
365,149,063,473,680,448,156,438,426,472,396,715,115,105,637,990,386,026,583,
016,157,857,050,539,906,526,430,353,574,316,403,232,424,578,041,079,876,670,
143,256,317,475,726,315,332,715,968,017,591,515,794,301,462,719,963,635,727,
670,902,987,863,030,882,697,524,341,696,770,440,843,075,858,219,300,691,295,
116,949,488,744,321,695,536,011,757,738,959,827,103,153,618,613,636,127,922,
720,197,942,487,359,374,741,807,992,751,451,431,752,780,719,161,703,596,645,
605,217,175,833,595,460,019,320,112,760,695,758,733,449,064,821,688,507,812,
683,614,707,018,389,423,917,060,713,884,180,429,026,832,918,151,864,290,366,
432,460,266,284,405,502,218,342,877,196,090,777,375,712,300,480,174,800,764,
714,583,956,974,133,011,201,162,699,780,293,205,478,702,011,591,622,433,147,
889,295,064,132,748,786,302,828,054,879,093,148,476,022,451,959,391,781,638,
538,500,981,492,713,511,703,837,302,740,353,687,718,083,863,296,061,203,640,
383,035,921,369,185,358,424,198,393,606,206,375,290,594,375,346,625,532,376,
881,634,784,533,922,522,909,139,706,772,003,854,516,386,933,668,593,524,332,
547,476,375,988,954,864,937,791,399,970,067,910,980,066,398,973,445,222,864,
799,790,426,037,149,901,220,183,489,054,748,237,951,234,210,571,426,150,139,
412,961,952,341,243,183,849,481,876,133,407,120,256,697,229,085,879,538,873,
071,612,633,903,087,476,489,935,078,168,889,105,118,610,698,019,321,433,365,
022,858,832,444,320,583,240,355,435,375,147,131,360,650,499,453,022,717,405,
755,448,238,794,282,598,745,933,696,813,669,974,234,447,073,020,892,390,639,
141,502,733,695,275,776,031,169,471,805,952,456,185,115,613,568,387,545,649,
890,944,916,097,771,690,401,651,501,061,945,205,064,901,836,111,802,018,006,
561,618,985,274,988,200,678,943,342,233,112,814,141,779,036,953,277,473,427,
649,416,293,959,072,995,105,392,514,707,887,523,024,262,140,466,420,460,824,
897,211,503,662,184,337,489,380,346,468,963,766,784,254,669,583,780,765,240,
626,338,464,161,916,282,154,976,148,449,054,075,543,685,350,355,441,960,605,
969,251,768,725,353,456,580,030,767,088,566,897,457,296,676,214,270,666,052,
416,752,360,789,193,799,452,577,218,688,254,974,079,327,773,229,374,360,045,
978,594,792,732,161,145,022,620,352,215,431,190,822,703,439,029,329,474,814,
276,295,229,473,582,745,977,884,336,883,965,124,546,668,780,885,532,634,536,
417,928,715,633,557,897,884,293,738,689,496,310,746,624,521,309,827,115,531,
842,507,167,581,537,375,932,587,605,403,439,860,120,659,014,895,024,607,185,
166,401,759,061,944,677,085,509,841,361,576,391,273,896,407,050,849,230,837,
323,642,121,654,750,313,442,296,792,757,488,573,845,607,101,735,563,009,800,
760,552,027,305,918,060,890,335,214,383,840,935,938,894,502,833,604,240,676,
882,428,782,269,503,113,391,959,814,317,371,816,185,624,992,207,776,795,161,
233,020,802,130,164,335,453,782,896,632,799,803,796,575,861,568,314,369,132,
644,034,041,388,821,453,195,061,054,668,550,437,452,363,722,676,246,809,267,
320,549,275,823,749,669,240,317,566,862,279,138,148,330,081,953,942,596,702,
010,442,401,182,150,489,771,571,827,592,800,638,040,192,191,939,362,298,804,
479,829,276,799,553,987,406,954,089,744,507,167,700,399,480,777,278,252,259,
665,610,845,236,682,641,877,484,380,691,376,286,152,019,443,129,995,550,139,
796,895,456,765,100,761,114,592,671,394,804,466,075,343,004,167,690,549,010,
833,696,494,022,794,696,049,548,556,979,626,957,752,289,209,605,665,450,119,
877,631,924,606,900,765,527,122,865,113,690,567,746,501,083,886,027,824,123,
298,229,618,837,741,853,285,508,646,368,185,329,955,319,775,863,268,054,120,
990,903,710,163,041,126,914,910,884,684,316,097,847,340,288,642,354,056,144,
970,651,889,688,779,725,484,334,714,553,225,618,359,271,445,588,070,817,815,
931,393,387,679,497,239,393,207,572,043,658,328,064,263,246,073,735,151,533,
231,530,830,983,786,684,064,438,730,343,618,892,745,393,630,196,291,292,192,
801,521,150,959,910,602,512,631,623,691,548,071,747,068,549,864,841,006,377,
028,285,832,184,212,833,397,317,744,477,853,147,457,116,761,573,169,470,509,
061,567,108,318,402,361,247,584,108,354,749,271,339,460,178,935,627,742,564,
290,824,912,629,602,523,775,620,325,979,125,973,075,500,814,619,231,344,395,
566,251,092,860,485,316,443,012,553,011,836,546,787,540,291,469,674,272,023,
169,662,104,723,091,685,311,666,827,896,614,221,171,235,092,982,176,351,758,
469,953,207,640,486,931,572,342,789,855,087,812,410,601,506,048,433,256,473,
266,568,978,475,811,338,192,912,185,172,710,864,899,299,484,702,882,598,158,
835,184,996,925,795,862,187,717,129,840,417,355,387,585,339,991,770,391,187,
487,280,452,818,747,232,435,958,452,137,990,784,884,931,914,393,656,202,297,
994,372,897,017,755,918,246,542,888,893,602,921,897,456,060,841,597,690,999,
489,471,716,456,020,137,837,745,816,884,143,500,131,788,848,711,140,019,542,
351,930,709,721,729,186,518,190,032,011,037,937,793,989,281,648,674,085,507,
633,084,362,321,488,094,649,063,799,279,159,957,171,706,946,416,937,662,313,
888,857,145,616,705,021,361,194,235,024,078,231,620,783,067,988,578,469,613,
426,382,962,556,804,951,150,510,409,164,270,264,397,717,832,053,939,314,388,
580,811,402,156,268,306,866,228,434,419,976,073,787,643,745,838,917,467,989,
134,496,912,698,572,080,992,745,700,602,232,747,579,964,304,623,747,468,850,
823,373,193,946,261,626,690,997,877,596,796,873,554,630,229,956,952,907,436,
932,468,948,118,024,305,171,283,317,108,189,516,069,223,662,550,973,836,790,
025,345,016,212,060,415,773,636,961,524,446,294,818,751,920,750,984,054,691,
484,918,489,399,835,096,930,807,392,069,480,803,168,715,594,370,298,358,759,
493,825,769,195,290,667,428,345,992,784,727,410,612,749,141,601,513,525,229,
070,867,665,482,521,732,188,874,584,946,434,454,568,623,270,984,920,995,858,
225,099,860,138,860,711,521,480,425,283,523,605,521,055,662,397,598,497,006,
870,070,927,649,113,979,263,124,712,409,148,005,703,999,513,021,605,311,680,
650,224,991,803,283,226,476,167,535,538,974,126,158,974,334,916,365,196,113,
919,395,286,881,616,362,760,431,815,586,060,909,687,639,517,543,177,385,785,
062,531,781,055,347,462,641,931,460,117,186,267,650,998,149,958,549,958,021,
301,129,504,804,411,706,823,845,853,452,206,580,088,340,400,239,136,738,085,
353,082,622,374,653,105,715,997,786,258,871,190,842,582,097,213,063,257,392,
522,328,652,080,640,513,772,691,551,804,568,878,973,179,812,165,639,237,012,
944,744,144,510,486,495,765,096,091,827,822,503,669,928,540,004,455,517,906,
973,665,200,848,687,166,221,146,935,655,936,480,853,496,188,721,641,110,529,
035,697,490,488,704,227,264,812,766,353,323,161,493,416,051,169,060,205,161,
125,656,305,819,370,241,939,478,343,843,193,871,856,960,013,413,552,134,150,
648,294,571,386,878,579,875,046,488,173,559,088,720,382,614,750,468,616,576,
536,242,890,058,012,362,159,094,865,003,576,308,319,713,883,001,768,878,526,
020,809,909,007,063,699,431,771,698,714,214,469,252,384,044,165,414,072,662,
672,771,945,370,948,421,058,445,671,822,000,560,133,945,767,651,179,834,025,
079,188,040,354,229,689,049,058,419,773,359,006,389,560,514,354,570,291,527,
660,988,084,683,881,368,998,147,570,283,024,631,061,347,542,620,315,744,580,
626,430,706,353,030,073,752,606,529,353,005,293,560,808,613,632,851,109,914,
614,970,544,229,067,312,312,864,448,281,571,575,759,099,571,461,639,870,778,
015,859,870,742,476,306,379,066,734,487,262,404,641,483,618,823,836,378,511,
474,463,382,741,905,321,231,661,814,736,928,165,289,942,981,222,538,942,205,
447,374,071,143,712,165,361,996,994,408,288,389,911,467,583,430,443,277,675,
459,061,336,625,105,848,536,859,125,630,675,158,458,855,383,391,605,206,184,
399,692,970,870,370,600,958,309,320,831,317,684,942,498,213,779,601,663,797,
732,296,911,763,229,650,442,897,555,322,011,349,793,342,912,828,413,487,722,
018,777,780,446,917,505,164,655,784,579,887,096,176,766,524,814,804,156,570,
077,986,702,701,174,579,314,025,624,648,968,580,449,578,705,498,431,075,527,
685,276,576,311,870,973,417,547,047,902,350,294,930,403,519,381,597,791,672,
519,581,487,570,061,152,663,943,994,522,765,485,401,819,184,902,162,811,644,
467,685,680,837,583,243,786,501,210,139,605,242,759,238,293,018,521,103,092,
484,605,455,718,638,378,109,734,307,197,954,119,719,092,328,423,660,373,744,
950,933,767,833,216,957,735,109,098,125,294,141,176,880,982,105,327,826,401,
354,256,187,993,992,463,696,506,861,369,108,910,372,746,460,721,263,455,858,
786,410,451,889,097,406,970,308,012,554,213,824,239,861,862,056,049,751,264,
976,510,424,726,422,100,133,945,833,155,392,098,105,322,815,411,659,511,745,
028,976,597,334,661,985,902,269,326,261,415,026,926,589,258,528,486,718,978,
854,843,396,471,596,356,307,306,192,731,244,152,934,696,236,707,661,268,680,
378,536,976,579,267,714,585,077,050,745,729,371,091,639,672,773,345,066,466,
009,962,372,939,771,558,911,504,492,680,906,062,788,666,692,749,935,352,795,
954,088,690,305,511,406,180,182,530,053,218,046,733,181,685,446,511,874,532,
941,290,894,811,388,850,579,972,802,514,821,467,851,220,942,112,476,357,381,
454,213,511,379,884,894,515,316,546,333,175,360,455,660,460,965,206,753,794,
354,224,895,971,502,344,983,620,905,364,951,421,796,163,916,891,563,129,167,
279,473,496,516,764,299,625,841,036,061,404,189,384,501,734,749,766,594,855,
684,609,559,715,547,404,165,938,927,068,764,697,519,382,634,856,585,084,166,
549,712,294,866,831,316,913,192,438,684,664,453,377,846,578,876,709,823,171,
212,520,959,357,316,123,790,131,334,853,087,316,831,444,792,237,317,521,968,
862,891,371,815,357,739,284,841,422,723,642,780,593,043,085,499,182,881,513,
189,179,028,584,258,463,179,816,143,277,751,323,488,485,652,916,455,793,771,
361,851,753,579,401,818,923,365,252,787,985,616,769,836,205,912,184,939,802,
585,343,181,687,322,258,877,009,989,586,843,071,055,403,162,958,458,359,338,
084,416,591,727,225,262,157,355,170,445,673,284,259,815,924,528,873,494,857,
576,427,589,010,133,970,291,974,582,042,726,189,470,328,974,671,862,869,972,
217,625,518,103,258,403,187,610,676,671,503,956,177,822,807,853,523,764,680,
892,448,972,805,048,101,311,466,410,621,361,249,807,688,476,534,181,853,245,
141,078,450,737,672,661,066,423,839,002,365,285,961,571,291,224,319,282,726,
072,084,733,232,212,265,104,302,590,304,603,013,707,459,346,950,397,154,687,
067,804,283,065,422,420,749,012,316,445,677,624,692,580,122,342,966,913,373,
329,441,395,806,402,058,907,760,771,469,836,707,027,744,486,718,703,733,170,
896,914,677,191,416,155,062,825,090,810,956,844,250,490,293,256,423,041,328,
601,388,663,136,871,882,103,416,296,680,771,052,981,671,924,633,189,272,659,
987,986,425,930,161,304,402,347,801,668,793,134,707,818,234,624,785,467,588,
369,175,030,702,122,772,428,302,953,026,673,475,662,139,150,889,928,687,181,
418,550,523,377,452,170,813,693,534,912,482,378,135,740,124,402,988,974,708,
120,505,822,404,195,700,502,284,288,246,352,671,451,181,906,651,704,212,274,
254,417,218,248,807,180,071,921,143,055,234,708,017,248,944,073,693,207,221,
675,839,267,472,513,168,843,141,919,792,778,467,010,033,954,141,764,192,202,
485,886,047,329,176,727,649,605,369,953,308,600,237,281,885,561,283,766,205,
922,034,482,422,108,799,991,620,849,545,732,999,969,919,529,329,573,616,684,
977,041,231,286,945,783,326,829,497,164,889,156,053,002,546,758,104,828,803,
762,975,859,667,748,288,052,379,836,049,747,160,929,914,337,365,828,155,587,
176,518,255,347,558,845,921,379,225,067,991,994,424,254,428,985,857,484,854,
648,676,528,185,348,034,072,360,317,439,810,935,867,986,461,935,791,099,952,
278,821,666,982,784,793,304,524,869,740,607,480,663,692,106,722,358,471,522,
404,666,342,417,495,901,287,909,273,505,012,186,136,196,043,549,013,040,625,
800,782,144,401,763,761,023,501,111,480,885,644,042,727,271,108,357,609,585,
723,152,745,523,138,963,842,902,850,729,423,808,789,234,332,926,616,561,479,
497,811,957,220,127,067,118,529,014,588,268,621,960,404,035,843,564,850,391,
557,339,334,384,849,363,358,038,369,773,003,569,080,961,462,683,955,134,135,
646,903,889,088,616,363,738,850,272,401,693,995,647,104,393,532,085,188,229,
699,077,357,766,196,992,304,083,860,326,907,951,185,657,550,632,794,478,298,
729,066,879,550,986,798,497,070,191,726,256,412,512,193,412,115,636,115,559,
894,859,104,741,357,623,740,620,903,360,516,379,730,596,598,032,612,410,814,
600,114,514,368,468,688,838,553,369,337,846,231,151,638,687,842,379,341,027,
049,966,412,039,839,664,064,996,172,933,638,898,068,699,861,802,095,338,015,
065,099,112,404,934,725,350,055,093,127,139,968,124,374,184,585,158,722,840,
365,536,658,975,936,725,650,800,622,290,434,169,185,362,415,845,789,399,864,
387,230,297,096,523,696,837,394,490,313,135,982,357,593,273,143,107,570,265,
867,810,234,004,166,374,242,010,152,240,494,986,745,829,970,895,124,082,309,
442,685,684,694,539,536,362,824,375,619,919,106,534,750,931,672,851,574,450,
520,474,228,829,518,666,826,429,199,219,367,304,724,912,440,363,469,679,241,
633,683,826,891,798,485,684,409,976,512,042,649,107,986,861,513,709,760,347,
387,731,449,060,129,464,101,111,868,389,232,744,288,431,012,719,007,887,190,
773,545,529,243,893,470,671,545,786,086,210,530,603,741,341,951,060,942,771,
684,602,904,408,898,147,278,708,701,753,382,121,110,187,796,431,715,219,508,
559,753,699,809,959,460,123,533,244,417,315,328,233,573,500,255,125,750,112,
099,362,769,802,092,055,205,683,405,658,764,329,752,505,851,177,113,083,980,
898,344,356,016,735,529,870,338,971,866,966,420,042,717,514,901,567,332,736,
845,671,403,192,517,994,541,430,904,513,956,111,736,359,400,198,878,037,301,
935,424,604,614,194,234,779,994,554,263,990,743,496,598,067,852,368,686,334,
948,476,226,057,937,898,817,366,476,118,645,663,468,612,171,411,524,302,798,
409,149,090,339,861,329,405,367,237,755,167,951,540,663,432,389,135,436,541,
144,296,863,057,622,671,404,969,201,272,726,391,930,599,215,685,203,734,660,
843,204,078,768,362,883,971,192,468,586,329,476,921,754,577,008,918,112,557,
347,167,616,869,143,640,050,896,232,153,400,070,826,859,881,976,065,125,440,
939,429,986,996,929,560,638,106,741,430,729,922,954,605,605,788,700,222,309,
750,501,041,928,272,347,159,620,764,521,816,345,291,689,741,821,987,432,357,
430,489,671,035,942,378,799,983,974,024,533,537,798,434,780,896,193,984,391,
911,578,886,409,143,451,318,362,851,487,612,142,589,258,473,817,173,271,573,
258,660,103,973,662,916,202,714,058,219,981,536,073,320,638,583,766,279,803,
315,162,408,330,364,540,299,681,359,677,258,865,638,143,941,334,622,361,921,
360,804,756,141,596,727,373,698,661,870,684,402,588,234,384,349,556,740,810,
052,002,229,877,536,333,062,786,351,385,572,641,834,652,733,147,713,070,028,
179,810,003,973,877,229,797,067,195,746,591,398,477,770,276,357,222,188,258,
409,146,191,656,596,879,376,893,442,631,760,474,531,366,068,641,507,309,182,
283,388,161,943,282,037,488,389,621,377,343,461,670,436,135,171,940,733,745,
192,296,829,095,380,904,316,060,148,284,754,688,773,274,208,630,415,073,638,
781,350,786,172,808,527,612,358,526,814,107,406,207,791,520,085,780,441,156,
903,418,175,363,685,741,681,621,348,505,182,183,701,215,108,970,458,806,746,
796,340,780,889,278,139,908,304,148,306,878,608,582,194,521,552,256,890,950,
163,196,418,058,916,149,993,525,829,634,821,085,795,202,649,270,903,515,713,
678,754,747,570,307,293,161,487,631,116,467,923,558,693,779,027,756,769,830,
750,432,009,000,290,383,265,516,083,637,806,804,677,360,559,994,978,393,376,
941,780,147,776,531,277,530,798,732,858,187,907,922,219,851,879,929,393,772,
362,964,476,359,510,674,877,938,896,492,604,394,167,922,790,474,071,217,945,
587,343,107,337,058,467,510,483,352,367,552,222,233,291,080,434,012,697,430,
497,190,446,091,330,930,278,983,669,587,604,731,703,777,468,281,030,679,185,
202,110,866,951,187,197,586,470,794,026,249,863,407,617,711,703,411,190,844,
680,361,917,386,292,205,304,059,001,191,987,469,392,734,285,218,858,967,718,
421,302,471,628,425,597,576,981,887,551,226,755,529,387,680,728,365,850,932,
490,305,701,449,386,070,469,971,965,921,354,333,140,075,609,158,846,983,160,
438,611,916,262,945,160,508,196,443,525,090,725,260,493,425,948,043,475,061,
875,139,109,404,885,412,455,555,091,166,494,234,389,082,161,108,797,213,926,
735,392,298,916,919,820,052,047,313,069,321,678,063,899,457,666,360,109,870,
173,092,489,978,178,646,641,754,308,639,233,348,532,782,017,900,103,397,238,
991,447,901,724,568,910,990,046,502,238,348,311,086,689,292,381,818,763,278,
273,114,355,473,168,507,835,227,383,317,188,602,021,272,576,756,553,880,551,
065,558,348,952,179,503,563,566,883,672,748,164,093,632,630,085,532,738,205,
429,677,585,983,767,172,011,676,921,273,695,647,823,680,020,384,388,759,881,
290,141,021,988,370,925,051,686,728,389,247,354,936,177,676,943,186,083,595,
320,431,527,079,919,200,381,442,676,771,233,152,329,675,121,370,673,116,993,
581,103,636,179,446,132,950,853,637,674,151,523,021,362,581,377,074,397,140,
546,796,771,025,113,450,572,677,207,186,473,803,155,626,352,232,964,084,736,
298,421,012,225,264,279,577,064,625,529,635,975,115,089,270,609,812,701,474,
236,389,194,693,133,584,801,806,176,162,746,133,865,770,919,944,815,112,450,
218,268,635,416,835,541,879,895,688,700,952,654,229,636,120,874,881,004,607,
289,149,974,631,251,390,290,891,163,929,255,247,601,776,103,988,782,423,562,
292,914,955,162,923,655,127,998,320,430,569,223,150,652,844,446,027,968,689,
062,267,470,674,448,775,832,293,332,689,709,473,390,946,458,982,581,397,860,
351,776,171,274,765,194,050,676,128,137,048,373,742,890,241,121,448,969,827,
656,544,043,189,546,345,440,608,618,397,902,080,049,504,513,810,539,821,505,
842,991,736,799,722,936,257,982,207,156,421,921,749,739,498,376,150,513,980,
619,331,906,212,368,103,701,330,168,630,530,098,271,443,849,916,295,826,588,
786,175,776,785,228,123,383,423,370,029,770,338,070,701,401,201,539,997,945,
923,457,741,214,642,714,594,698,536,779,643,108,617,480,208,925,196,323,482,
621,338,865,200,268,925,665,387,393,084,028,393,108,081,917,435,409,353,715,
248,713,649,682,648,290,055,358,794,050,650,968,440,242,548,676,439,339,079,
772,101,640,005,105,590,371,132,466,888,618,120,447,433,304,917,909,944,481,
471,405,675,471,763,167,025,220,095,076,502,197,165,342,910,577,989,498,870,
720,787,813,942,186,649,037,922,184,884,948,584,759,527,616,414,633,228,008,
673,247,835,024,000,721,917,189,567,041,632,054,592,599,829,835,563,795,944,
003,556,877,606,312,373,093,988,027,569,389,476,658,728,161,687,889,073,608,
127,036,591,477,463,980,746,899,898,387,749,789,370,949,084,356,810,150,837,
522,088,886,802,826,817,774,926,012,233,464,255,872,669,980,766,023,850,563,
861,815,753,305,455,984,067,983,538,816,978,402,147,972,745,342,569,660,007,
218,431,010,755,369,745,731,287,411,772,057,650,849,572,730,952,268,242,515,
351,342,836,761,402,854,431,475,444,663,245,617,797,569,450,509,873,614,943,
136,124,018,052,757,196,355,575,771,759,304,383,730,762,796,779,889,860,033,
797,877,905,035,372,550,683,691,226,712,259,256,984,745,199,924,826,377,379,
107,691,060,524,598,820,232,786,590,222,551,838,514,962,782,588,469,274,185,
599,228,169,285,597,132,363,500,294,855,925,104,055,599,444,352,802,129,493,
907,639,360,334,319,230,139,967,265,869,209,834,564,603,213,468,746,258,321,
232,899,043,651,971,164,799,970,583,953,415,735,005,480,209,458,986,203,674,
700,926,126,450,412,766,324,756,159,654,369,298,545,492,825,844,983,829,687,
796,929,484,716,006,324,627,755,412,557,113,404,716,829,244,107,929,784,050,
034,320,310,685,837,727,800,756,933,916,646,297,773,430,044,749,475,685,344,
883,474,345,941,680,103,121,701,142,828,697,763,193,345,020,977,843,379,266,
325,427,416,312,245,472,219,780,730,482,500,111,273,395,908,942,459,704,667,
254,682,038,714,490,317,599,442,531,345,000,176,194,490,337,864,750,340,803,
227,032,622,686,995,892,097,314,316,356,616,143,658,269,188,443,217,640,256,
187,447,050,608,256,521,694,508,427,646,039,331,353,706,944,766,117,320,102,
358,367,901,877,836,242,586,972,376,931,169,590,136,592,454,052,950,058,630,
325,264,793,604,147,850,971,618,698,393,293,420,090,812,914,311,761,168,622,
905,386,560,534,812,320,763,565,083,314,687,737,491,574,919,490,192,971,362,
245,539,667,009,756,303,125,559,118,695,369,276,651,976,869,240,961,845,315,
815,206,299,135,333,258,992,500,304,952,566,535,216,351,556,164,037,690,021,
631,196,223,267,118,056,287,187,425,637,696,233,179,335,359,136,447,385,970,
744,978,486,782,041,468,022,831,534,847,141,163,148,327,362,034,435,298,531,
296,075,335,954,474,832,172,433,495,958,202,811,867,285,781,446,311,548,024,
169,517,529,178,552,392,786,545,217,741,416,146,493,194,652,002,144,623,997,
387,165,724,321,097,385,684,054,595,636,456,384,881,007,533,247,633,249,642,
853,646,105,620,135,764,892,347,020,188,391,504,706,876,764,923,562,608,520,
100,599,026,637,020,062,858,542,783,984,334,252,040,973,479,669,372,021,679,
056,802,336,574,800,102,884,832,433,258,498,008,010,359,615,947,557,485,596,
408,071,568,159,185,042,970,564,778,482,204,845,920,412,324,090,547,787,797,
970,536,626,799,920,039,319,718,608,754,839,829,513,743,569,840,960,516,732,
556,629,326,823,817,684,215,840,574,099,809,897,621,782,797,533,357,013,551,
967,069,064,571,537,975,347,866,981,810,508,820,319,921,600,422,060,466,819,
505,038,122,636,605,353,556,489,315,452,209,576,032,251,544,794,707,025,247,
232,602,809,162,738,610,218,781,506,029,936,900,539,047,429,447,682,053,620,
478,423,769,019,646,776,739,629,114,048,491,968,407,396,353,249,526,603,753,
232,719,037,970,759,055,764,751,431,823,989,436,269,533,395,309,527,612,057,
136,760,341,594,196,624,666,475,397,735,684,802,716,509,199,366,508,672,699,
188,739,493,758,043,993,702,307,764,934,275,334,917,220,710,961,239,123,804,
472,443,331,210,296,441,353,816,837,717,966,581,077,409,997,376,432,877,027,
462,164,056,305,525,674,102,040,966,166,757,618,634,456,787,999,336,483,726,
845,023,345,815,780,572,670,517,159,796,117,985,321,527,282,588,022,581,171,
890,653,732,299,032,031,621,184,972,679,872,459,682,391,406,212,496,356,116,
162,804,204,385,626,638,204,806,387,996,738,058,036,520,970,449,138,631,088,
775,891,307,555,682,385,735,825,978,715,265,499,557,318,947,674,767,479,448,
806,560,999,296,146,597,220,502,173,964,560,916,624,246,959,587,855,193,190,
919,265,124,976,604,388,186,611,020,467,944,108,923,165,199,310,699,219,375,
276,847,309,607,514,310,575,495,193,097,152,658,376,596,494,996,021,408,442,
275,687,211,680,769,700,797,928,927,539,448,856,955,261,799,734,145,460,371,
616,456,822,124,724,002,475,351,260,363,400,293,005,796,175,792,593,302,145,
897,548,030,816,018,561,057,475,319,053,898,803,947,228,795,801,708,253,455,
314,398,375,661,680,539,075,615,201,773,460,863,632,638,752,241,823,363,317,
719,270,102,836,887,052,818,146,655,049,174,577,992,291,580,406,555,889,967,
011,771,517,447,210,094,250,133,044,020,348,995,940,785,492,639,736,035,728,
561,133,060,746,507,728,187,253,237,785,688,868,936,329,365,809,703,811,249,
780,810,214,652,912,284,630,363,956,866,261,516,477,745,571,752,292,435,617,
827,986,981,083,592,781,547,055,897,487,113,487,075,476,903,995,656,241,864,
467,758,023,503,519,959,476,121,112,360,040,125,674,261,661,062,755,912,706,
201,381,758,928,178,597,205,099,694,575,696,248,436,982,199,635,937,731,865,
830,884,494,711,736,332,626,590,836,432,987,004,227,743,544,902,589,136,062,
313,495,091,406,564,326,512,830,108,878,310,138,136,447,572,428,819,539,067,
724,693,366,313,505,868,384,269,309,938,285,104,715,042,152,806,150,949,731,
379,716,802,551,410,269,742,784,387,471,027,134,480,375,630,082,305,708,332,
225,141,446,805,519,033,713,528,665,501,488,368,498,540,108,671,780,109,409,
603,511,765,185,831,240,620,173,962,141,397,068,682,979,990,526,114,602,436,
135,683,648,672,483,400,091,063,716,062,762,555,215,028,138,705,734,002,192,
954,063,633,416,399,464,769,701,879,680,097,596,985,159,426,172,581,518,912,
327,534,326,260,635,930,702,202,847,229,984,205,660,099,373,923,700,948,759,
294,117,235,127,465,131,403,042,415,885,100,984,969,162,516,922,177,863,169,
263,977,249,036,525,347,492,639,955,812,610,179,475,692,465,310,346,430,632,
406,254,243,399,070,463,612,742,553,732,932,317,195,318,194,490,883,058,050,
034,726,082,747,953,452,371,814,363,532,321,814,380,375,210,739,503,379,710,
161,584,728,441,698,289,677,354,249,884,387,140,424,387,745,251,044,988,977,
003,061,663,636,563,999,239,943,262,260,686,995,611,834,682,436,432,710,944,
787,575,308,053,700,325,888,903,791,105,020,818,038,644,783,167,839,444,089,
352,256,634,871,836,549,784,747,588,425,267,494,675,471,935,243,734,983,428,
570,109,781,268,730,343,841,040,173,275,466,503,587,807,397,169,212,999,672,
769,117,900,337,335,778,948,293,328,105,570,496,605,964,573,691,226,409,004,
035,023,720,477,621,138,717,378,296,033,905,429,234,805,897,736,874,013,152,
472,004,708,868,140,827,557,524,565,958,824,516,488,861,611,985,993,475,117,
556,409,050,906,652,383,108,742,284,651,140,718,809,759,848,658,946,508,574,
755,547,990,387,254,667,736,242,764,864,025,941,978,660,741,223,658,623,231,
437,334,622,850,088,068,534,804,690,025,462,535,632,659,687,370,459,140,109,
844,872,276,017,979,735,230,274,412,680,790,705,912,230,206,863,807,053,790,
440,826,446,044,423,743,245,649,317,494,872,770,314,040,411,920,711,591,259,
514,928,723,872,143,611,638,727,719,361,497,804,924,251,090,270,971,433,586,
468,782,724,894,812,831,513,976,240,141,828,744,131,716,062,348,328,814,461,
608,263,717,400,300,571,983,220,671,589,535,759,675,820,619,694,782,418,152,
176,650,980,573,317,311,284,422,924,323,059,077,882,852,264,030,380,026,139,
968,676,375,625,242,403,545,932,351,900,493,542,719,511,852,630,587,789,616,
688,058,763,760,165,985,918,506,213,253,973,427,046,150,053,747,550,695,045,
964,771,967,446,082,053,137,127,352,716,115,319,536,737,710,600,545,703,882,
201,579,496,906,468,269,988,442,177,328,602,563,645,507,488,796,165,062,847,
387,658,462,937,178,880,835,336,055,219,421,895,193,332,787,706,634,076,377,
446,604,727,660,034,539,171,974,409,310,296,805,372,954,224,921,485,080,298,
207,480,621,960,165,727,037,355,771,051,555,622,161,738,505,946,360,829,279,
704,918,631,747,057,152,647,646,565,161,255,903,529,829,769,200,058,705,053,
112,124,381,884,739,062,798,143,427,190,970,846,080,236,201,287,286,621,908,
887,713,111,223,249,014,499,138,272,019,910,892,020,074,154,886,226,532,099,
089,348,213,556,114,697,454,075,321,665,385,337,581,242,730,039,119,315,817,
954,343,062,697,451,056,188,819,709,406,424,431,825,835,284,267,941,014,540,
208,368,004,382,083,517,836,072,062,279,221,558,218,619,897,523,153,266,092,
403,567,994,341,240,218,120,238,524,605,391,790,094,744,046,918,086,061,768,
929,288,007,379,866,658,885,606,906,523,547,555,523,442,679,438,932,436,483,
265,437,413,740,479,607,204,204,384,031,892,143,108,515,539,054,374,217,819,
337,834,768,614,890,216,104,689,160,026,679,141,053,390,511,090,084,717,582,
149,379,780,794,354,064,606,880,945,096,212,382,668,541,956,722,771,271,800,
700,384,035,294,854,395,763,286,363,038,176,410,578,450,329,276,962,752,397,
456,598,232,564,583,221,196,035,848,151,727,062,546,574,543,219,152,795,582,
938,195,684,736,897,013,512,090,551,097,089,291,431,878,566,215,575,080,042,
756,811,572,683,364,929,881,720,818,293,062,444,035,959,761,412,165,242,665,
370,355,682,992,491,607,417,757,938,492,469,098,874,150,917,851,600,669,622,
648,191,448,489,444,635,692,563,037,645,689,101,708,534,861,866,547,622,115,
849,564,900,968,164,342,836,509,795,859,970,335,248,987,715,442,169,672,307,
027,995,971,309,582,810,568,364,460,298,847,375,626,911,662,400,887,432,187,
095,358,580,341,856,049,548,792,969,412,222,402,213,978,058,073,002,501,726,
657,375,638,428,919,934,527,660,948,313,545,778,677,512,712,158,600,819,447,
709,986,811,663,097,119,225,640,362,864,749,718,827,980,959,392,017,595,265,
110,967,496,574,832,206,130,063,250,020,996,921,199,087,869,571,860,697,519,
236,416,387,559,794,651,202,473,885,305,900,034,337,199,753,853,907,159,774,
953,042,627,065,659,958,887,259,419,693,753,698,710,370,892,470,047,220,205,
758,506,495,904,635,907,571,913,123,074,852,332,695,952,439,948,665,940,537,
245,061,730,343,294,672,912,072,626,960,811,279,591,717,659,357,950,978,807,
873,004,143,805,651,611,048,550,366,261,163,268,315,143,958,276,710,294,615,
867,300,804,798,110,995,926,759,794,581,335,928,392,077,498,484,073,211,926,
624,652,995,141,089,887,370,596,131,572,194,513,092,210,620,702,324,290,021,
618,224,602,419,225,606,891,874,123,293,127,411,608,680,904,904,848,691,143,
157,430,511,167,021,770,081,803,854,673,135,325,148,727,891,792,912,943,895,
906,598,062,030,316,141,736,046,332,295,134,249,456,806,345,161,242,093,253,
259,726,489,621,100,477,514,990,270,615,694,113,308,231,974,463,946,213,514,
329,510,293,432,407,083,905,104,229,895,129,263,935,580,721,443,128,102,794,
027,121,269,180,768,700,164,455,870,700,972,271,406,644,842,081,861,157,544,
234,598,764,588,775,080,388,354,251,995,563,362,194,196,393,821,984,526,945,
113,404,550,155,119,015,843,189,214,922,429,437,180,025,565,847,054,027,633,
277,796,477,961,585,257,846,542,136,050,064,799,318,826,766,188,403,408,420,
049,686,103,284,214,970,449,984,599,143,697,279,478,559,639,339,742,449,946,
988,355,598,996,507,695,434,851,268,408,586,944,634,404,184,010,765,422,593,
298,592,396,774,419,346,443,534,752,014,755,844,986,136,740,668,158,242,996,
812,924,803,791,263,877,417,489,990,069,603,312,854,084,807,530,881,497,752,
682,722,728,655,224,520,771,417,752,439,972,549,116,256,096,704,217,095,235,
757,843,699,557,957,949,098,564,374,974,214,570,348,908,708,227,363,313,529,
728,535,486,155,414,380,881,558,920,555,686,973,164,642,300,707,656,496,295,
894,597,931,802,083,413,852,013,083,461,704,079,934,309,639,096,095,924,668,
023,091,509,419,837,933,822,671,160,538,936,979,307,670,848,929,740,095,721,
931,765,634,323,612,191,087,068,692,364,574,177,117,891,306,153,770,914,722,
082,209,643,362,411,158,840,057,962,380,167,672,279,670,487,387,463,180,696,
112,364,151,891,251,507,078,191,563,499,290,053,454,749,600,516,036,530,952,
263,516,687,212,198,241,546,052,812,545,140,902,098,605,861,431,424,053,075,
883,577,905,464,309,735,338,154,713,999,098,327,019,027,903,964,961,269,543,
390,574,357,152,222,919,318,401,739,826,262,100,692,446,446,399,432,887,673,
523,510,860,583,385,063,942,171,256,522,622,035,347,493,091,624,624,201,124,
189,938,153,592,169,553,087,541,080,377,319,015,548,260,738,637,513,374,994,
904,407,866,249,868,444,779,492,923,089,891,971,223,542,585,578,926,503,061,
878,968,287,009,473,078,305,981,854,980,593,843,466,829,037,173,704,360,972,
734,755,781,050,344,171,383,041,394,616,513,191,592,715,855,556,857,358,579,
871,578,085,044,199,271,564,306,651,345,417,850,028,990,547,597,348,246,914,
387,328,560,361,160,407,196,584,296,062,537,518,918,186,643,218,411,610,823,
799,310,906,843,784,588,157,856,368,096,409,529,110,126,167,831,305,609,698,
848,698,264,012,651,580,459,063,048,615,185,908,525,256,027,878,886,642,239,
563,085,147,378,224,241,468,112,305,931,272,202,988,300,590,283,586,926,370,
575,978,204,011,345,737,577,863,380,149,485,236,985,396,806,499,619,334,390,
635,925,920,829,797,818,052,057,356,844,767,709,067,550,989,269,820,141,214,
830,040,168,188,661,555,678,881,882,983,944,667,899,397,563,291,972,967,604,
462,312,361,491,898,506,368,465,712,548,886,561,783,614,977,207,960,985,498,
826,519,271,433,399,952,588,123,784,481,519,554,468,604,901,003,415,449,634,
072,482,039,059,695,937,844,615,967,204,287,593,425,474,553,133,031,468,840,
779,724,753,465,076,469,350,402,513,523,079,248,424,871,147,597,995,401,479,
836,213,542,447,348,383,956,610,680,109,839,086,006,532,787,023,553,706,441,
091,039,095,852,508,976,756,063,212,479,792,318,608,593,754,751,458,780,672,
400,429,192,258,215,741,199,255,069,304,968,136,632,827,011,926,067,420,047,
022,746,939,079,648,819,857,204,271,869,188,697,614,554,567,607,579,028,986,
462,925,893,449,239,504,093,274,952,789,253,325,381,339,148,137,165,532,720,
156,657,024,714,923,713,812,095,102,070,587,346,755,812,491,170,203,121,974,
338,846,963,135,800,691,517,571,011,201,312,571,658,179,947,680,032,050,696,
155,278,402,124,450,611,347,698,665,812,125,556,029,597,202,966,118,859,738,
041,930,170,562,498,634,416,512,954,173,709,699,615,240,262,662,440,166,600,
618,928,231,817,247,348,351,771,164,161,704,706,522,507,872,247,805,178,728,
893,729,221,146,014,893,593,367,680,308,005,575,798,679,333,590,785,782,128,
776,430,752,857,463,626,216,045,452,723,432,564,290,735,787,131,625,836,876,
876,087,674,481,503,301,214,007,819,879,744,126,189,790,340,772,825,989,451,
436,390,080,833,559,377,043,676,692,905,118,224,996,716,626,342,191,023,442,
287,147,095,647,465,665,259,322,706,790,846,632,118,958,513,315,032,867,385,
264,786,564,852,295,460,572,190,546,815,956,554,352,807,345,275,596,708,234,
354,149,788,804,662,846,625,865,629,654,766,549,036,900,307,043,889,895,851,
293,414,461,548,115,026,032,628,146,287,899,626,542,439,046,977,899,648,742,
781,889,349,607,625,712,912,304,329,297,222,220,303,225,125,260,766,112,375,
332,092,459,588,500,238,120,496,922,034,484,601,134,828,189,842,511,088,010,
139,082,855,220,181,229,899,193,289,971,939,399,471,400,007,342,669,386,269,
417,239,998,101,514,782,703,487,419,489,585,952,595,134,758,523,968,833,447,
505,357,031,990,577,755,645,273,414,019,842,532,535,502,413,950,102,335,754,
031,376,839,416,242,451,514,527,288,386,779,839,947,168,677,295,974,882,993,
881,176,589,602,569,359,247,871,417,606,081,718,177,542,108,284,240,215,017,
434,022,268,565,182,854,532,008,678,504,915,513,877,627,534,054,052,885,449,
666,280,312,154,717,642,259,302,833,016,059,952,472,108,544,513,848,978,213,
538,431,050,658,903,077,290,241,780,065,679,535,361,958,525,903,946,810,194,
768,003,784,247,568,259,548,426,179,958,692,345,619,132,043,428,884,058,423,
327,068,466,482,145,074,207,603,489,774,900,922,029,745,035,478,816,311,779,
997,935,892,973,800,950,349,025,780,259,957,131,875,070,536,543,156,438,843,
056,674,301,298,432,448,270,762,955,490,681,492,414,866,212,016,172,125,049,
722,641,834,109,042,279,205,708,906,686,591,742,577,102,329,953,238,568,367,
013,854,888,141,059,966,417,366,026,760,293,333,639,727,179,782,902,102,099,
745,340,392,616,889,541,528,697,554,719,228,084,053,167,790,718,276,190,896,
174,886,831,890,197,459,163,461,459,139,473,057,177,156,256,236,781,203,111,
607,252,504,001,966,354,989,195,098,628,877,612,247,461,724,038,205,770,244,
680,761,350,396,136,213,963,512,071,124,965,959,692,787,619,943,777,351,764,
184,995,586,186,781,418,550,824,388,806,900,593,092,630,375,600,173,896,555,
539,017,832,958,927,229,208,299,578,758,955,046,642,664,042,947,937,000,895,
428,733,016,398,164,302,778,175,605,397,248,421,802,627,587,863,584,635,753,
512,630,111,592,133,765,144,071,724,948,495,167,264,392,616,558,861,048,992,
192,691,436,137,780,470,434,828,873,780,162,259,325,480,397,462,540,728,391,
853,144,918,808,938,444,999,166,491,343,385,705,869,424,966,948,477,706,904,
384,765,823,295,522,110,589,110,885,380,619,899,106,739,831,680,021,400,692,
448,815,618,895,756,884,001,986,867,201,117,728,854,500,005,733,873,878,516,
374,949,296,097,982,072,537,805,268,356,770,513,857,620,154,325,645,886,115,
920,726,014,827,142,207,291,231,765,201,959,172,753,423,740,019,741,067,985,
228,404,487,333,864,402,767,105,671,101,030,099,743,524,828,604,686,127,128,
876,406,385,405,168,509,831,390,146,381,886,769,351,290,220,971,110,171,960,
327,328,861,607,766,533,878,498,733,159,560,065,955,749,278,872,843,958,901,
484,968,812,909,463,233,681,780,169,116,631,545,768,421,336,060,724,654,316,
436,810,993,853,158,976,103,055,266,421,291,154,204,962,626,871,305,840,184,
786,379,092,602,770,723,490,643,139,539,429,762,550,231,241,826,443,767,231,
262,249,579,368,069,287,444,038,518,568,898,998,814,103,676,515,407,395,294,
417,269,653,464,970,631,601,987,982,222,814,696,628,321,831,069,279,362,463,
552,453,093,093,294,070,753,516,370,125,254,247,927,556,260,506,361,368,682,
820,188,703,335,367,065,354,727,005,138,829,774,362,390,434,643,490,114,078,
210,420,482,761,397,176,151,476,126,149,231,488,615,142,227,688,843,089,410,
060,554,777,959,175,841,560,845,558,420,877,519,678,122,977,271,899,467,388,
126,852,636,370,804,268,895,108,037,921,925,883,323,393,134,153,499,508,441,
385,729,957,209,360,831,420,945,175,398,805,665,833,237,408,763,851,062,800,
581,916,017,625,288,270,698,207,292,501,538,521,674,690,294,274,805,626,659,
029,885,733,100,563,291,462,237,450,508,301,360,026,144,808,811,051,050,904,
690,662,538,659,364,846,046,808,508,680,251,433,737,137,299,790,006,680,730,
448,543,846,449,873,598,084,270,697,650,005,361,797,239,040,131,470,989,026,
747,847,194,686,084,189,296,857,170,749,054,508,241,488,209,300,243,099,257,
943,404,598,076,996,435,910,315,028,598,803,845,637,203,967,116,693,932,825,
249,734,626,471,178,917,838,182,378,253,771,665,429,048,563,873,085,413,783,
620,689,929,807,922,626,615,775,836,379,317,038,225,777,593,847,850,166,692,
853,012,410,122,846,239,332,617,578,593,589,090,565,006,111,205,099,223,127,
890,463,853,515,463,859,394,382,748,825,563,653,530,960,671,154,286,316,815,
685,147,120,720,354,361,230,296,048,215,978,357,663,843,810,171,005,904,758,
404,550,151,842,096,719,516,512,406,537,222,779,154,205,327,664,891,636,236,
463,843,911,789,756,993,768,064,138,799,852,401,112,027,905,850,056,715,778,
058,254,949,949,396,783,651,532,096,367,632,082,123,750,495,446,067,978,138,
136,821,198,515,079,241,923,646,221,008,437,466,354,579,377,625,901,599,532,
124,842,470,636,870,617,968,838,243,711,079,310,767,294,239,763,176,606,377,
338,066,862,969,152,112,690,247,575,843,785,709,562,172,649,094,511,159,920,
062,710,972,552,998,229,807,158,217,562,337,190,684,731,412,778,745,993,401,
858,696,804,988,406,815,527,520,398,993,348,858,651,098,458,909,945,912,939,
433,759,225,167,425,855,552,936,410,479,648,189,714,746,836,742,929,635,063,
585,520,972,555,379,402,848,033,415,520,309,004,191,396,768,336,679,912,166,
571,568,928,510,713,561,846,786,058,611,713,899,669,432,876,740,043,000,827,
777,301,404,810,687,348,810,516,734,936,934,767,683,917,202,693,637,643,664,
634,882,529,345,439,139,718,023,677,161,785,109,550,463,176,944,527,489,806,
860,433,115,894,899,503,889,258,794,369,388,780,485,607,084,217,480,763,653,
206,976,969,802,267,799,046,364,325,503,598,099,306,872,866,830,594,843,213,
476,394,388,319,802,872,798,133,855,388,092,458,801,455,110,489,231,885,361,
502,965,508,487,565,711,283,230,049,910,616,461,973,654,567,359,031,338,790,
230,210,224,810,949,786,916,244,359,552,257,762,818,679,866,416,556,107,888,
673,219,854,136,971,830,270,683,769,009,279,896,312,610,009,245,172,352,937,
813,571,335,515,098,883,046,030,379,399,064,251,128,620,434,789,139,886,993,
129,941,224,015,661,079,588,077,211,109,063,914,837,834,560,388,278,178,794,
146,263,382,482,277,706,966,261,329,266,740,800,178,539,429,737,383,958,472,
896,282,896,461,924,092,988,955,760,385,348,996,071,761,475,282,106,835,679,
787,900,803,998,488,380,060,670,097,142,710,186,469,819,996,449,995,571,320,
323,006,722,235,768,312,746,717,690,886,672,489,932,984,755,700,816,292,484,
201,367,300,997,629,076,086,869,435,883,503,228,068,334,033,865,239,491,891,
417,998,979,677,430,889,770,911,414,549,310,066,843,729,494,674,513,754,036,
316,985,245,666,143,511,875,024,961,220,009,376,982,152,295,870,760,236,195,
337,039,956,594,510,105,536,965,839,569,891,192,455,491,765,506,414,468,351,
680,193,723,773,224,383,957,655,725,085,798,256,741,524,542,163,891,346,981,
588,622,570,375,533,527,256,662,321,605,428,934,138,802,812,369,371,948,347,
739,646,786,179,542,133,747,498,207,505,679,856,924,386,146,523,451,654,444,
715,590,406,963,655,194,723,936,684,905,980,391,695,771,775,100,053,783,079,
771,622,470,279,151,941,290,460,250,236,336,228,536,209,686,351,340,397,302,
484,007,811,205,005,727,698,624,611,492,663,786,662,680,243,513,547,480,167,
876,581,869,856,441,818,675,835,671,340,575,540,571,274,429,725,058,816,835,
304,549,786,264,178,592,578,091,550,893,815,856,373,811,213,843,916,741,736,
838,571,678,320,983,895,221,878,955,591,341,019,969,360,680,871,816,674,174,
202,961,572,042,587,739,716,057,007,146,608,479,012,433,166,390,963,992,873,
484,593,026,157,501,576,096,284,962,895,595,967,855,594,408,501,964,065,989,
393,211,910,697,682,297,428,528,617,771,885,851,042,390,033,208,179,341,868,
991,125,649,284,836,835,283,570,105,184,241,085,499,217,860,055,084,745,344,
745,381,126,782,579,610,204,730,747,954,586,375,208,379,693,991,602,196,219,
295,912,649,573,111,862,692,496,290,890,350,482,786,620,825,663,625,032,461,
578,537,268,663,107,206,172,671,632,699,546,388,537,603,971,150,245,433,132,
328,740,077,481,753,832,938,835,997,095,230,001,570,430,610,336,051,200,543,
477,975,270,154,387,302,002,323,221,967,662,976,041,096,818,589,452,884,294,
588,757,481,941,424,838,914,789,062,238,683,946,374,376,396,679,157,020,549,
413,837,646,108,638,106,404,894,480,929,838,524,743,932,338,973,857,060,674,
009,449,490,566,377,230,340,810,483,833,403,154,554,253,093,446,581,179,233,
800,783,688,212,326,406,194,345,320,418,386,703,320,911,892,910,810,296,890,
318,684,076,818,385,724,176,359,585,901,147,770,924,791,629,828,870,352,456,
208,105,107,227,472,107,073,891,594,625,424,388,993,471,905,599,638,069,101,
052,037,529,623,173,307,715,895,878,945,887,435,111,872,081,531,353,939,421,
242,765,460,773,112,010,055,759,761,775,522,660,500,756,576,194,818,267,071,
536,789,649,279,046,593,570,595,374,281,229,220,602,844,777,357,708,421,971,
893,762,341,592,818,023,567,638,011,494,079,466,044,500,285,871,004,956,711,
819,290,328,644,269,352,551,379,765,485,158,347,569,419,679,109,241,923,184,
508,244,665,381,129,606,458,799,840,797,586,291,709,346,346,582,979,670,169,
628,026,110,131,369,094,338,143,962,572,308,499,901,517,377,772,323,543,716,
584,539,617,122,247,359,578,824,856,470,688,860,651,316,718,044,425,761,954,
123,123,056,593,703,587,085,598,674,534,956,792,895,936,339,710,806,191,682,
325,650,664,877,809,101,996,839,974,418,147,701,418,754,926,626,561,692,207,
136,021,566,353,943,320,449,424,678,157,292,631,118,839,538,879,255,763,966,
541,600,889,612,275,105,278,538,543,930,150,563,412,279,880,934,475,758,173,
449,193,260,699,728,630,295,469,292,740,694,898,812,883,573,182,491,326,087,
824,115,733,901,890,858,102,284,234,680,354,530,297,559,642,480,485,645,228,
207,305,154,083,149,574,409,226,411,316,929,404,971,562,778,217,614,417,675,
512,197,240,508,662,367,290,386,205,535,552,143,574,911,428,417,790,623,199,
287,267,386,082,865,385,065,935,415,793,745,473,451,580,819,431,161,208,270,
263,397,171,203,153,855,062,613,073,178,357,648,148,492,461,472,361,101,421,
798,965,718,836,540,006,092,603,519,274,858,924,302,336,845,863,585,134,002,
336,604,243,818,259,468,011,338,345,250,369,552,789,790,892,858,729,475,396,
297,252,782,526,879,240,065,727,419,270,248,876,814,732,162,669,217,336,724,
281,048,212,688,582,839,922,934,344,650,353,976,153,828,481,883,694,296,661,
070,573,597,042,444,224,584,215,362,287,871,018,695,808,526,801,519,273,075,
255,652,394,269,221,448,908,336,725,137,267,509,364,759,673,077,207,963,587,
290,511,700,277,757,294,495,876,570,547,972,738,777,268,660,253,840,711,166,
748,495,633,014,763,954,915,574,124,254,783,641,049,570,617,007,843,362,397,
025,596,915,247,582,615,401,856,836,423,858,248,213,888,731,985,799,513,284,
075,824,117,319,953,579,441,922,191,242,914,479,642,645,772,424,953,623,071,
146,415,093,346,857,792,134,378,057,188,133,513,116,018,012,698,412,698,650,
097,865,205,172,715,305,654,369,876,668,909,114,132,462,104,431,395,720,875,
631,253,760,826,748,070,728,982,853,224,700,483,159,741,912,148,252,322,916,
580,617,860,344,316,666,532,621,405,219,538,873,535,130,214,556,675,064,232,
131,837,505,962,488,088,476,055,567,142,963,013,250,650,399,222,464,440,193,
516,759,439,257,286,258,702,401,203,383,395,270,359,782,402,104,100,083,897,
093,804,793,460,809,671,133,355,948,231,579,853,720,309,962,169,927,377,100,
899,001,168,044,443,285,268,829,438,237,969,344,256,116,929,590,260,572,163,
869,571,030,091,042,937,735,420,431,284,519,185,675,355,343,856,046,706,626,
805,459,957,633,507,202,987,372,091,665,791,065,252,728,327,503,578,371,964,
644,972,560,812,195,308,490,531,982,326,045,369,928,420,058,544,229,075,633,
203,050,044,860,035,123,578,527,204,148,093,363,053,472,891,386,646,326,246,
712,045,880,481,033,551,648,619,502,396,475,703,237,469,527,350,044,505,886,
867,223,113,728,996,148,043,664,170,798,369,679,871,788,137,451,947,150,002,
076,791,947,162,274,667,330,601,542,098,032,566,306,028,585,677,441,549,327,
285,762,853,020,841,002,231,281,712,718,578,449,648,069,353,603,865,617,096,
580,843,112,464,981,110,872,405,210,177,799,067,763,573,336,594,611,602,389,
806,733,732,288,529,639,225,823,042,481,421,817,681,960,991,425,078,481,008,
480,960,586,784,788,093,801,780,955,552,765,312,548,989,801,616,691,669,082,
808,565,945,587,726,846,637,624,041,092,139,052,145,856,360,545,570,139,996,
714,142,085,461,102,548,452,024,048,912,395,442,071,309,912,197,002,855,335,
075,519,554,101,554,837,268,519,470,358,121,784,611,720,648,553,160,685,507,
193,026,613,848,285,745,520,545,387,119,109,194,884,461,398,283,652,298,853,
557,309,858,003,042,258,779,913,981,245,857,652,236,760,162,485,637,171,723,
851,521,951,942,649,859,191,199,406,883,252,101,795,308,311,928,874,320,406,
712,502,578,722,214,055,761,527,234,071,937,874,531,853,301,474,323,456,471,
590,615,652,401,682,494,953,767,638,394,480,282,242,019,729,127,221,707,935,
540,348,466,444,358,542,829,558,278,922,873,878,390,142,399,510,954,879,719,
395,535,410,978,158,125,839,672,259,920,367,508,838,588,758,233,199,926,470,
003,004,912,165,853,621,500,533,253,598,659,276,299,374,557,610,498,800,118,
322,270,421,148,646,685,835,993,494,010,884,733,257,467,022,728,281,482,046,
941,267,038,710,256,876,389,078,751,880,266,994,735,371,021,775,313,327,204,
352,544,227,984,620,615,073,860,293,836,249,519,942,248,003,572,274,643,897,
668,592,758,634,632,576,993,521,548,395,953,153,765,789,763,915,293,269,659,
509,509,060,571,965,067,980,321,760,557,853,127,109,997,509,953,787,635,387,
072,120,528,830,635,836,093,403,198,224,009,401,741,767,516,199,046,732,658,
378,013,893,581,072,581,910,518,918,683,579,510,484,211,448,549,225,479,913,
656,262,540,663,853,395,984,661,898,744,505,156,532,687,008,126,006,261,959,
658,017,880,726,823,332,823,497,762,711,126,456,551,712,172,509,696,130,368,
380,822,287,224,842,199,312,644,145,629,791,822,738,894,591,836,330,771,329,
946,617,276,531,372,143,553,217,631,511,525,558,783,003,518,369,809,939,708,
940,434,643,578,285,422,883,610,775,376,418,722,593,307,060,893,031,163,390,
633,874,275,373,991,391,156,353,469,262,080,695,795,551,508,598,756,559,021,
957,989,096,527,583,563,404,280,534,564,172,239,529,412,482,930,984,281,684,
690,736,441,043,287,123,440,567,496,923,535,050,187,846,145,862,363,276,698,
293,019,363,082,366,520,855,915,413,534,210,615,293,970,219,237,046,136,120,
693,479,346,488,377,468,146,437,389,127,420,589,177,813,152,184,629,235,991,
441,003,025,045,189,623,145,061,568,768,600,580,875,881,900,341,132,612,497,
563,317,571,218,998,049,251,202,757,208,099,465,579,085,325,629,183,796,176,
861,347,546,566,078,674,159,714,870,657,360,578,376,211,451,589,803,587,189,
853,680,447,105,363,328,118,778,647,156,058,982,290,572,672,175,848,592,420,
993,703,606,811,004,720,844,446,706,219,964,886,622,956,711,396,661,997,659,
492,828,087,628,908,109,902,746,827,666,963,016,727,582,502,188,170,836,451,
635,400,304,697,876,813,899,406,062,354,330,641,491,479,317,971,550,050,639,
666,026,263,894,098,518,624,123,376,072,994,607,427,646,855,931,919,039,423,
066,683,689,450,062,458,510,494,475,162,503,410,865,872,049,429,589,992,803,
633,995,795,901,316,299,408,874,794,355,498,691,320,097,939,684,130,264,430,
255,206,569,625,028,690,978,710,590,437,040,644,182,098,387,228,089,339,050,
751,494,511,168,696,746,481,518,467,166,103,477,123,677,040,541,367,655,211,
307,834,233,317,186,194,180,346,409,863,261,684,516,262,116,355,877,130,332,
973,741,409,265,512,149,269,065,268,445,198,546,748,253,759,849,515,460,792,
967,672,736,913,815,688,422,704,740,179,532,190,341,312,533,156,113,958,545,
469,310,147,952,184,947,603,985,407,325,657,300,353,315,690,185,818,808,931,
033,010,428,426,212,395,546,535,412,265,153,088,864,303,651,119,988,031,376,
687,376,736,339,162,994,876,432,623,183,717,626,609,177,652,913,752,444,621,
923,822,609,917,180,455,120,777,332,544,577,582,675,950,568,575,727,771,573,
779,250,363,402,406,873,129,565,640,593,533,842,360,818,398,904,545,677,609,
384,424,048,650,128,947,087,795,160,854,879,432,378,433,887,902,023,307,125,
846,083,945,544,217,835,039,576,497,049,869,427,037,980,350,277,608,670,787,
867,821,035,555,639,514,483,959,174,517,639,860,405,815,139,048,078,344,326,
722,917,461,636,331,960,329,344,129,928,264,330,143,383,376,576,835,820,441,
515,657,277,203,248,204,816,900,477,446,261,977,015,262,042,581,399,708,492,
734,001,313,006,423,759,545,440,411,907,130,846,142,899,735,788,521,976,709,
210,608,003,422,979,384,139,504,862,311,847,656,426,763,918,936,244,468,770,
143,438,050,146,033,518,205,713,080,541,416,804,727,228,316,136,441,700,399,
008,027,319,740,302,328,851,058,384,664,855,467,241,560,166,712,968,228,940,
355,587,721,540,639,533,029,853,111,571,291,312,662,812,574,779,565,490,659,
560,638,635,093,149,761,871,847,633,880,375,465,718,452,199,930,572,423,412,
538,478,216,376,453,746,220,837,589,557,938,853,570,648,871,017,002,890,641,
823,294,747,988,539,629,544,225,105,291,840,674,728,867,575,143,285,639,556,
446,677,225,201,826,525,628,619,620,444,229,832,051,665,328,360,972,801,874,
250,642,310,764,768,148,703,041,509,678,256,504,122,972,938,390,609,196,065,
358,103,015,379,417,384,149,557,092,183,909,938,083,770,325,021,547,692,839,
852,938,154,213,122,674,176,229,325,506,061,837,353,480,422,883,671,944,686,
420,767,633,133,155,594,791,692,197,909,156,597,386,006,675,247,171,977,813,
717,367,747,557,082,255,566,290,734,601,722,144,312,585,879,257,180,736,528,
957,425,953,450,500,448,290,595,289,511,632,659,458,051,673,985,430,777,722,
615,882,612,364,010,180,994,096,553,987,376,601,648,625,666,641,468,047,850,
073,079,295,238,063,661,459,770,523,217,546,298,699,909,071,315,799,907,572,
519,947,744,488,431,982,140,719,651,184,156,161,583,991,909,646,482,137,415,
931,923,224,460,049,018,517,418,653,393,292,061,731,635,697,146,541,301,649,
291,860,369,899,981,336,926,375,503,944,813,286,996,793,285,399,846,720,178,
303,316,362,962,861,722,623,554,796,497,895,267,009,234,098,610,999,313,971,
417,808,786,088,048,753,889,906,987,555,069,084,809,368,367,343,059,493,251,
393,991,239,108,949,932,301,624,471,980,608,109,505,530,196,657,805,650,705,
644,302,434,156,055,835,670,389,479,792,080,790,517,323,142,559,537,355,247,
121,049,531,762,253,907,156,508,985,592,571,943,463,776,605,446,282,651,213,
368,156,782,784,065,008,717,389,645,574,211,940,683,802,540,770,576,694,551,
209,401,376,763,871,660,898,773,110,968,751,372,650,242,732,430,479,473,445,
007,660,314,435,342,116,470,081,417,690,091,239,173,557,044,463,920,443,165,
204,562,611,293,834,067,549,161,757,035,526,259,833,844,130,696,559,295,444,
670,251,700,996,300,575,182,233,617,009,818,582,893,021,793,526,237,340,299,
242,361,116,800,778,159,012,236,635,290,983,157,039,186,202,026,486,890,856,
140,331,746,955,921,869,451,841,998,073,773,361,811,685,807,196,716,585,405,
688,558,557,510,572,962,598,554,988,797,196,614,870,286,272,331,237,635,735,
978,054,404,471,350,762,934,441,726,699,806,153,444,092,259,524,592,045,156,
398,645,260,527,804,794,094,382,782,396,644,219,379,179,375,007,747,820,963,
114,690,709,055,733,198,991,015,264,090,106,546,440,483,290,166,077,715,118,
440,706,375,291,968,764,455,574,786,201,315,159,246,594,845,579,186,903,893,
425,443,585,207,626,928,522,127,927,208,686,011,548,440,683,082,152,052,737,
029,266,098,149,717,051,374,512,819,735,340,165,037,585,515,631,496,844,975,
766,041,078,073,721,395,191,418,444,391,064,615,827,491,336,164,560,136,869,
834,213,140,419,596,734,213,319,246,615,071,710,877,817,465,611,100,314,825,
031,729,858,082,373,134,633,527,641,497,112,995,270,973,228,435,670,934,130,
161,466,243,427,723,981,986,412,660,241,159,074,590,611,369,189,510,809,452,
238,532,118,493,314,486,718,630,032,661,123,070,506,110,850,239,608,514,042,
310,315,366,186,600,210,050,854,792,494,803,575,204,441,875,426,569,855,633,
410,700,412,142,001,051,979,367,342,752,450,322,001,815,315,489,638,349,936,
745,601,083,313,750,034,859,693,894,073,322,312,746,102,234,909,887,024,349,
862,879,565,002,011,358,123,284,877,971,098,309,699,260,682,084,429,630,525,
543,285,324,099,572,117,141,373,898,577,598,149,087,316,679,820,147,301,264,
850,958,745,842,206,340,729,806,917,762,332,478,576,116,795,071,857,819,788,
524,293,119,043,930,579,192,257,905,404,444,290,675,628,393,689,252,991,755,
653,853,642,760,804,958,662,008,451,889,446,337,248,745,371,497,805,244,377,
416,226,450,586,136,441,852,633,701,235,507,978,515,961,076,812,510,892,642,
260,860,235,779,213,469,156,142,727,808,242,548,297,298,879,867,576,059,896,
955,468,683,120,134,368,906,417,088,767,089,112,746,661,531,135,036,713,704,
374,416,562,255,179,396,694,792,368,894,469,233,898,451,448,062,583,013,375,
964,616,629,401,921,469,617,057,046,960,198,525,145,408,659,052,872,900,650,
943,460,035,010,309,217,106,144,907,966,333,392,136,522,042,501,167,232,727,
630,249,617,738,799,454,156,981,621,845,550,237,497,254,152,661,263,185,100,
752,862,736,245,889,426,726,012,777,265,128,279,107,386,252,378,016,351,458,
353,463,736,501,676,364,956,809,342,335,527,133,428,430,061,319,924,350,922,
945,069,707,462,469,024,695,386,335,993,549,457,114,783,147,217,757,137,595,
622,555,101,064,395,667,690,602,885,692,570,620,915,139,149,654,997,948,162,
643,943,325,048,767,604,888,784,813,898,271,592,620,363,242,070,035,122,929,
129,523,384,674,063,362,821,186,206,497,786,351,614,161,767,980,067,886,692,
307,886,851,189,288,142,507,359,402,928,229,623,148,519,097,689,716,269,674,
315,806,078,759,627,310,354,978,973,446,681,684,512,115,368,149,713,305,864,
731,519,955,019,646,462,860,811,306,567,075,078,739,083,934,573,468,425,992,
737,973,642,097,199,876,767,949,176,507,599,908,483,004,796,868,253,740,914,
612,734,139,477,861,997,934,311,904,300,371,803,481,050,647,999,899,877,918,
874,357,164,028,729,705,492,750,967,259,463,540,281,338,498,501,022,112,100,
615,105,069,664,750,387,572,988,097,385,376,311,332,215,802,551,942,138,207,
335,089,855,643,806,895,182,051,611,295,594,965,337,721,028,786,385,293,824,
435,671,612,041,471,138,942,520,106,317,800,795,092,611,251,377,808,459,645,
577,995,816,822,041,360,504,682,156,788,264,120,190,487,154,332,988,522,562,
712,787,415,955,081,638,353,736,182,653,577,187,921,198,116,595,318,203,399,
104,595,749,177,343,166,829,403,084,479,225,172,805,852,104,242,930,640,651,
992,365,730,232,542,341,125,685,008,765,915,855,257,293,428,843,556,750,321,
046,965,269,979,123,335,182,364,678,633,783,244,297,178,150,427,263,965,726,
783,882,796,996,870,965,436,750,455,483,423,446,914,366,170,720,606,817,738,
843,358,375,437,550,525,386,037,934,281,700,732,614,605,685,300,486,255,712,
016,518,255,054,673,241,727,968,095,225,908,054,659,711,379,757,083,116,169,
047,345,523,948,288,787,965,144,444,686,580,591,489,316,309,312,831,402,030,
388,020,780,818,864,597,591,441,981,436,449,791,841,942,475,463,583,859,676,
881,611,241,572,000,467,622,778,196,039,330,679,277,355,329,219,869,416,807,
147,016,853,754,894,088,291,497,185,781,884,272,467,238,329,898,566,755,556,
259,927,899,045,183,423,455,106,703,887,002,753,393,948,667,175,533,665,949,
519,834,980,624,382,408,135,532,931,789,833,959,400,427,467,246,012,186,361,
435,857,609,547,534,260,932,745,306,422,788,879,693,647,471,259,312,102,530,
533,405,453,422,151,761,155,113,293,696,702,698,158,753,511,137,744,802,879,
852,894,657,979,129,086,989,967,271,395,660,118,829,831,615,125,820,821,390,
332,218,902,508,878,039,910,986,504,078,212,919,523,883,210,440,368,748,945,
132,301,415,911,335,688,961,385,614,985,427,285,173,007,979,084,706,441,443,
864,221,030,064,127,191,494,357,361,309,944,488,965,578,200,622,445,773,330,
194,479,640,529,407,314,796,902,256,778,884,099,963,403,257,685,352,051,862,
206,203,226,838,012,238,677,896,037,938,706,457,041,057,711,117,854,782,963,
309,445,756,759,286,834,173,695,918,645,421,114,188,006,633,530,076,977,651,
520,350,491,524,271,515,450,999,860,185,176,952,313,196,250,899,295,697,738,
660,669,867,850,742,074,468,624,031,681,077,235,816,384,785,291,009,568,006,
007,548,854,957,841,303,668,770,701,688,284,413,546,328,403,634,947,729,069,
253,123,175,474,337,727,291,661,878,462,477,794,666,114,040,854,991,128,490,
966,783,782,612,729,038,332,751,957,618,337,612,494,676,402,242,760,602,607,
126,601,322,508,564,222,935,744,945,230,515,915,311,790,276,112,012,629,489,
012,360,035,103,178,222,434,141,811,172,077,924,315,671,009,287,979,854,942,
020,404,987,177,965,869,927,820,510,501,642,595,920,653,810,052,207,422,458,
597,824,831,340,493,565,102,905,287,700,316,303,016,822,298,979,620,211,357,
164,816,511,754,157,161,772,415,994,296,567,562,353,809,975,732,147,338,757,
120,532,385,705,555,310,473,890,187,734,704,062,316,942,340,845,897,554,806,
191,382,035,790,868,092,888,560,698,146,554,732,179,874,825,120,896,323,530,
074,831,054,395,875,056,804,510,738,140,780,419,480,012,969,500,980,370,718,
612,457,547,069,236,181,850,815,756,620,057,688,138,792,025,153,513,950,807,
479,713,267,765,472,937,081,031,449,225,672,942,272,734,640,226,965,091,432,
306,057,734,657,452,326,254,271,440,997,250,355,452,070,519,571,970,172,761,
350,770,010,812,965,009,943,759,481,068,291,152,626,226,585,836,565,520,647,
776,267,984,656,378,890,943,586,089,565,931,634,805,190,858,238,371,332,760,
885,101,627,927,290,588,746,214,928,821,584,644,124,171,545,867,032,738,533,
688,969,934,406,878,419,184,571,501,761,818,043,201,352,471,767,368,377,592,
043,568,268,789,706,424,836,136,290,732,193,172,426,347,348,604,353,129,776,
646,309,087,872,125,333,929,013,187,504,705,118,285,692,710,227,956,593,165,
526,002,645,672,535,083,269,319,358,164,783,823,408,615,931,001,751,053,791,
636,503,910,608,172,948,744,473,798,072,901,345,422,300,759,005,861,479,837,
826,179,612,216,098,374,081,491,150,159,459,703,437,661,876,209,592,442,499,
753,481,961,900,915,483,501,993,789,721,109,178,831,261,768,401,981,911,337,
884,306,927,474,090,326,033,285,709,307,535,167,791,227,239,110,188,937,431,
510,079,611,854,039,753,460,061,191,962,484,940,738,232,416,745,701,866,032,
352,979,722,779,809,486,144,356,399,431,167,923,601,741,032,346,862,053,538,
140,902,666,305,984,717,046,525,385,521,035,567,255,034,040,614,397,111,069,
585,755,877,663,029,158,129,909,648,057,674,036,481,605,876,012,218,824,820,
723,713,667,673,005,675,158,045,718,543,141,170,429,773,275,657,122,751,611,
034,442,715,112,885,025,648,466,435,785,591,641,028,189,041,922,856,152,249,
754,848,619,644,638,610,130,955,510,963,175,926,359,084,560,561,854,919,498,
766,042,531,922,794,943,884,537,247,048,725,964,168,456,259,565,722,650,562,
672,744,040,393,812,440,365,805,350,565,627,554,115,063,033,544,666,234,913,
008,168,139,474,774,869,092,882,494,352,749,102,873,684,397,906,082,673,645,
600,322,586,571,189,959,498,351,545,217,549,112,584,649,732,608,873,427,754,
230,001,475,224,304,468,600,626,162,854,461,730,328,028,883,730,891,493,605,
282,791,868,249,868,594,423,041,302,844,824,176,209,983,268,248,796,557,922,
886,819,063,775,572,570,086,178,598,064,064,617,656,559,155,596,362,028,475,
324,794,454,508,712,916,219,279,243,668,315,620,882,319,818,252,570,441,677,
805,051,571,920,180,104,548,174,355,946,211,290,994,239,157,886,252,602,070,
439,431,726,947,839,583,606,140,334,509,754,605,562,379,646,406,011,030,511,
435,739,704,563,633,931,002,445,214,151,061,368,663,197,119,845,097,738,102,
167,002,987,612,224,114,187,896,586,795,704,970,477,880,685,747,063,759,710,
021,043,664,837,369,795,042,876,273,031,419,755,100,162,305,559,180,058,641,
199,072,759,341,167,184,100,086,843,815,381,057,390,452,576,321,486,034,822,
082,971,586,121,592,031,907,900,283,636,877,786,381,721,144,296,077,503,692,
741,514,733,313,824,603,826,666,248,432,210,274,750,274,453,812,007,874,631,
945,171,918,012,495,308,037,541,790,029,414,438,739,002,508,804,582,783,224,
771,724,169,315,657,860,938,597,710,266,104,952,468,113,219,085,321,175,132,
784,609,483,350,935,780,480,968,363,208,147,639,584,388,333,106,836,070,712,
394,414,136,409,086,716,198,308,481,623,549,578,823,230,817,961,663,064,479,
529,305,392,809,042,424,581,905,464,370,691,975,261,582,789,229,153,624,629,
896,352,561,524,087,968,113,805,228,060,474,016,590,999,278,573,043,360,679,
483,134,493,550,527,729,983,376,182,003,937,548,335,724,889,739,940,696,634,
161,389,234,297,934,838,561,679,550,022,504,823,825,759,560,588,706,037,978,
844,509,695,525,239,120,782,944,802,493,875,652,346,070,823,106,528,862,730,
940,121,582,268,761,174,850,812,663,456,780,876,190,343,242,062,718,225,957,
844,546,869,321,395,443,896,596,274,605,930,154,505,757,523,601,590,605,836,
435,168,329,044,782,269,906,189,922,880,558,925,934,632,145,066,209,976,849,
749,938,155,660,970,528,394,107,660,001,589,458,706,813,604,932,592,999,280,
685,760,058,085,939,885,718,354,832,222,288,983,852,519,698,283,188,235,123,
849,841,155,189,478,205,693,463,377,654,644,559,413,787,905,902,805,809,472,
948,650,061,816,176,956,932,957,927,776,440,259,971,174,318,955,649,928,855,
029,268,428,414,892,401,802,336,071,530,130,799,590,115,136,349,796,782,613,
252,334,385,660,117,654,457,160,705,063,666,288,903,118,367,044,948,100,499,
187,343,619,934,149,135,222,781,850,634,944,308,379,425,269,661,907,823,490,
578,555,778,471,524,884,310,624,206,256,920,990,131,892,215,995,879,880,247,
515,356,696,586,675,943,756,385,859,609,664,013,190,581,914,302,808,297,299,
461,997,802,579,381,528,753,688,566,007,385,224,643,307,232,907,280,606,017,
281,914,539,050,181,677,787,971,456,454,754,913,085,368,151,478,326,274,060,
798,185,828,212,915,353,429,508,853,815,741,339,083,258,442,072,754,780,985,
803,587,944,171,580,957,124,996,524,990,082,950,716,828,430,458,585,496,447,
162,513,997,247,012,138,577,022,001,904,134,714,464,737,765,891,167,092,075,
108,712,098,751,174,500,937,132,224,357,617,224,300,847,637,421,719,814,960,
418,757,307,738,438,684,837,083,746,042,417,178,890,546,235,430,394,537,090,
632,285,886,478,252,477,497,572,733,636,598,140,561,815,721,708,362,011,510,
003,644,057,238,234,490,974,129,125,586,645,717,785,351,319,976,982,458,439,
609,075,425,569,825,983,250,130,757,347,526,957,375,602,529,384,024,247,308,
984,195,408,225,864,583,441,553,467,043,454,604,436,583,179,186,947,683,731,
993,833,859,084,542,738,307,193,329,911,632,086,864,988,975,737,257,402,115,
471,390,361,776,236,699,256,276,836,319,948,301,566,225,909,697,240,258,086,
763,900,180,640,265,765,439,615,071,436,123,594,729,609,320,882,079,378,803,
840,742,618,144,889,700,829,738,773,083,763,446,360,971,940,763,987,371,480,
395,511,497,105,075,820,941,647,737,384,048,105,217,054,931,841,802,145,901,
344,865,808,854,491,078,699,543,428,956,836,023,105,858,712,592,130,937,242,
018,171,582,539,497,443,738,045,685,264,228,872,977,444,502,499,459,222,851,
681,808,281,473,122,531,055,468,730,142,105,544,623,093,808,222,060,151,415,
033,411,865,380,644,299,947,650,052,952,455,760,230,746,323,524,004,593,458,
918,193,201,183,156,494,921,522,960,386,691,280,147,520,122,297,275,454,103,
417,957,583,433,602,482,910,965,630,999,159,234,578,074,699,025,476,358,358,
792,471,309,502,412,174,860,978,426,144,262,328,651,549,075,864,165,724,537,
711,171,842,224,699,187,191,217,388,985,749,872,459,204,945,623,222,418,397,
509,626,514,619,154,302,689,397,408,531,205,643,821,684,971,857,744,220,174,
372,818,736,552,993,270,158,752,362,934,630,004,573,308,147,405,589,298,493,
427,503,759,022,124,585,069,199,614,510,773,292,590,085,337,960,616,016,170,
418,136,327,474,926,526,023,977,515,721,553,603,870,120,332,213,825,344,271,
116,354,121,081,887,001,590,677,169,981,914,427,362,672,493,377,253,763,201,
122,060,997,525,866,809,000,428,054,424,332,861,034,113,569,369,125,882,534,
020,599,251,379,118,451,822,569,632,308,557,107,790,691,982,948,544,254,546,
017,670,760,448,679,541,570,378,094,049,240,030,923,130,154,958,830,554,913,
371,581,011,132,162,829,056,777,679,539,427,416,269,585,890,153,699,882,173,
389,276,675,049,776,850,249,855,446,580,624,348,231,529,642,384,375,514,858,
862,914,274,946,147,711,071,115,780,028,101,662,674,786,057,695,128,220,392,
415,660,322,469,048,982,764,606,383,431,143,738,408,038,210,911,363,078,066,
689,823,275,046,161,636,489,778,634,125,555,279,802,226,104,230,599,214,874,
162,803,900,073,493,043,297,826,083,723,121,643,884,039,231,102,278,958,768,
726,541,047,404,610,205,020,070,108,453,723,840,216,092,483,444,921,254,020,
992,373,695,739,357,382,589,258,183,549,096,223,269,145,880,848,994,842,021,
726,450,241,278,251,915,386,487,139,702,930,420,974,125,970,148,778,098,401,
414,997,304,266,075,184,175,898,970,274,543,532,957,664,075,165,775,915,574,
510,835,321,736,198,993,167,505,627,593,953,165,161,478,119,252,142,308,486,
591,224,190,752,398,410,581,031,279,742,169,275,580,351,684,740,872,692,424,
907,166,298,155,343,366,058,379,395,248,569,781,098,591,752,384,220,181,188,
593,778,997,871,898,587,223,399,220,090,909,828,160,116,012,855,967,265,266,
254,764,015,598,418,478,177,949,066,019,564,160,245,148,709,269,455,671,728,
407,179,097,136,364,286,767,223,222,987,052,161,267,712,306,358,089,868,099,
069,777,852,421,457,461,559,651,952,510,579,826,494,794,124,115,964,900,551,
102,326,149,045,347,655,314,105,029,156,421,027,553,408,821,127,134,817,373,
816,170,127,098,158,284,861,950,968,872,467,748,911,941,314,022,148,810,724,
779,811,747,859,165,882,137,763,365,631,575,160,036,573,890,572,213,378,877,
133,524,804,189,217,811,973,394,480,501,047,113,090,788,092,130,549,530,615,
593,598,076,288,330,342,340,985,961,403,432,398,062,568,423,605,567,824,463,
844,892,746,577,427,810,019,375,846,042,966,188,858,086,139,161,611,471,979,
429,955,533,777,957,349,617,723,088,303,021,411,135,444,214,266,935,321,664,
932,543,346,235,659,323,632,533,019,014,782,738,498,685,332,429,668,937,203,
666,132,717,209,387,926,570,464,884,447,540,739,990,165,236,719,124,660,704,
920,158,919,649,113,196,591,176,292,007,895,712,873,220,825,770,801,497,193,
961,523,595,073,170,669,019,582,420,140,676,299,728,297,021,211,858,042,958,
227,346,443,641,271,371,178,285,245,068,318,413,555,833,188,885,862,106,388,
309,348,407,080,149,871,604,788,792,114,158,381,430,315,183,899,002,777,056,
723,558,325,815,016,151,823,884,628,689,391,916,394,001,180,548,143,009,478,
395,759,101,275,709,179,575,414,084,965,470,254,683,191,204,501,532,507,722,
521,246,424,244,641,053,485,921,398,514,096,018,006,453,882,660,369,807,217,
262,491,344,760,720,631,468,920,138,192,960,562,151,156,994,064,600,984,991,
815,006,772,708,597,611,903,114,920,188,920,597,071,176,893,646,778,942,960,
124,329,858,291,239,496,714,950,724,819,531,333,399,800,808,637,969,059,391,
606,396,973,368,710,002,229,823,178,283,846,383,128,462,554,401,932,018,052,
285,727,746,601,657,135,791,273,764,580,761,587,566,796,359,355,221,542,694,
459,678,493,314,500,447,120,728,710,165,411,606,251,497,256,755,395,766,424,
482,816,256,436,601,576,107,230,492,492,517,881,235,817,009,355,451,359,192,
457,571,106,629,077,636,025,565,050,213,414,194,441,976,585,137,414,471,175,
528,777,168,549,775,129,249,307,901,985,015,965,556,745,936,568,009,850,839,
034,077,440,554,575,008,202,589,990,035,688,293,903,289,416,217,092,232,043,
096,039,631,121,286,712,877,631,042,667,836,360,865,423,192,398,729,354,632,
900,063,086,839,878,870,716,824,750,515,856,306,624,154,257,154,600,868,657,
588,855,633,409,019,957,513,250,668,931,783,867,668,071,190,116,561,975,827,
598,078,307,889,590,450,773,721,796,464,067,162,438,847,843,258,940,083,035,
005,124,399,711,432,395,791,379,985,410,935,484,876,848,683,229,957,207,942,
311,692,331,605,055,053,499,543,216,167,567,129,038,441,977,235,437,047,352,
819,616,861,154,694,953,558,383,422,738,594,567,084,606,375,888,269,001,839,
973,251,217,015,656,114,312,068,687,069,988,878,268,687,060,905,601,352,196,
524,416,488,260,146,352,678,523,605,426,204,658,338,453,894,199,708,702,047,
286,951,905,664,355,685,369,623,243,185,857,357,843,084,380,760,368,788,183,
060,043,902,286,945,408,733,513,492,375,440,850,999,506,950,197,405,744,346,
912,811,103,885,085,149,622,747,361,683,620,431,127,638,540,739,635,474,704,
991,572,413,592,753,803,762,675,004,094,885,622,531,312,448,330,470,762,754,
083,073,174,928,831,288,821,856,494,016,619,476,568,424,330,034,129,115,633,
864,795,943,634,564,739,369,200,086,088,755,094,281,155,584,616,029,848,886,
995,463,896,455,354,676,372,799,722,921,373,986,963,783,204,487,933,995,476,
541,873,675,838,314,939,575,763,162,328,220,834,586,150,983,341,127,036,520,
681,541,502,554,117,323,151,972,856,632,632,754,879,750,765,583,037,091,811,
301,539,076,248,532,527,232,786,945,481,300,521,392,785,671,339,139,171,611,
859,204,297,640,231,803,236,381,605,116,267,790,051,921,702,944,399,563,606,
995,277,197,068,815,584,282,209,181,482,899,864,519,323,616,615,245,057,460,
361,402,063,325,725,523,582,276,908,257,603,145,266,677,129,665,689,084,973,
974,937,030,812,377,592,753,727,652,289,051,907,539,189,668,413,014,514,351,
444,934,346,605,123,893,824,475,889,145,647,333,956,570,737,516,558,047,353,
400,626,052,833,072,198,065,815,923,340,724,886,434,357,661,442,498,438,319,
594,659,292,231,882,107,966,907,320,203,589,746,458,095,867,940,436,438,309,
375,125,715,209,415,931,808,643,777,908,190,835,181,199,780,557,035,271,760,
488,585,651,422,626,724,532,191,040,938,949,642,112,032,738,162,961,868,830,
466,456,628,226,925,018,318,811,271,117,140,484,558,956,827,545,830,961,021,
738,515,030,278,171,524,560,666,382,853,484,313,870,545,955,325,684,089,247,
965,307,707,269,849,582,924,159,250,648,466,609,945,137,412,803,904,633,924,
595,934,547,844,068,618,268,515,796,663,255,316,443,661,976,415,478,701,799,
039,654,762,407,448,823,730,579,293,581,241,977,219,199,183,100,674,237,824,
419,337,015,574,293,957,886,895,558,443,771,425,485,992,782,474,761,856,254,
733,756,926,180,168,518,871,878,148,648,301,761,692,917,400,538,908,961,563,
961,702,779,063,910,345,131,960,757,690,374,244,139,894,861,762,998,736,113,
963,371,436,537,277,978,368,677,293,750,167,945,520,403,831,548,461,568,751,
217,493,013,865,055,009,576,692,697,055,220,024,614,280,623,149,881,813,098,
334,308,671,290,622,767,238,266,294,997,712,401,880,273,824,883,001,644,027,
941,482,061,058,158,772,650,623,786,838,341,711,675,148,557,828,985,608,751,
949,839,049,121,340,695,800,961,379,579,831,271,272,185,915,384,860,178,370,
314,539,846,000,055,250,152,169,041,776,566,085,327,520,160,880,652,665,150,
655,077,420,687,289,469,809,481,545,445,700,430,884,053,439,803,126,627,553,
977,578,522,425,417,466,332,420,153,036,406,102,913,077,074,616,018,180,959,
266,180,990,180,405,083,638,905,734,762,828,355,121,798,087,506,654,460,224,
113,503,233,642,809,750,341,434,688,318,737,253,451,829,888,479,090,887,672,
901,929,501,173,092,038,361,690,075,575,097,588,583,517,953,120,466,742,211,
435,140,868,459,033,492,457,822,691,414,527,522,290,419,274,381,471,312,040,
574,525,514,511,820,919,164,886,161,530,933,013,766,570,327,895,054,432,137,
545,620,255,194,339,187,413,790,411,815,458,369,444,612,231,134,423,859,905,
523,469,075,137,126,944,840,322,576,965,188,652,234,664,566,461,974,005,504,
024,599,942,773,331,974,556,372,504,685,900,818,633,913,416,243,755,151,392,
673,772,989,115,099,708,575,982,195,532,649,984,608,289,743,503,904,325,837,
841,370,867,153,183,264,763,130,232,611,759,038,134,150,134,493,221,481,175,
455,630,574,306,919,466,323,609,043,550,351,463,375,344,356,058,236,411,683,
686,759,078,718,942,446,411,529,421,255,922,897,339,473,235,290,486,826,985,
345,816,492,044,624,714,461,045,972,777,174,215,185,676,517,010,228,228,758,
168,381,528,607,797,129,298,664,185,285,858,584,862,452,457,272,404,039,425,
324,955,773,863,372,791,459,748,449,994,875,406,129,879,954,042,839,139,742,
758,175,293,280,285,172,302,924,875,628,585,059,921,073,018,241,319,323,930,
468,670,319,999,249,024,144,425,239,697,427,915,047,134,237,554,054,822,699,
632,825,391,816,048,664,502,543,802,562,050,503,871,592,117,967,215,134,506,
311,356,898,938,041,051,330,495,122,055,161,247,405,240,605,450,271,667,055,
869,087,683,738,491,842,931,568,909,951,803,058,726,432,690,613,025,310,647,
177,039,839,607,105,772,248,717,705,776,252,107,503,213,288,038,110,706,169,
587,576,913,807,874,657,113,877,203,733,296,619,073,413,342,032,537,386,798,
446,425,110,150,341,725,026,442,380,628,288,994,547,980,570,931,605,882,640,
449,886,921,564,560,332,139,716,844,923,620,732,296,204,222,814,467,268,144,
928,114,049,595,952,973,379,112,564,848,760,089,076,684,284,568,442,122,376,
572,652,029,390,296,491,875,760,772,567,247,275,832,855,365,778,937,446,519,
798,060,094,535,885,651,554,568,916,713,410,795,001,394,564,904,040,778,825,
336,030,036,397,868,062,561,577,439,191,201,582,869,109,323,846,569,508,186,
064,231,010,368,866,729,017,377,745,015,358,752,571,752,510,962,110,930,964,
788,673,910,066,817,239,234,933,878,814,478,490,076,901,827,716,941,098,859,
088,839,340,879,290,537,691,010,729,516,885,507,641,638,803,881,830,830,615,
948,946,431,310,890,801,799,953,957,599,539,589,531,126,209,486,815,226,115,
730,057,378,162,393,073,493,061,302,986,664,571,180,523,681,753,311,376,536,
077,734,927,807,297,952,496,397,907,365,583,787,942,488,784,778,555,889,247,
198,206,223,071,239,670,561,038,493,533,179,668,125,859,900,016,926,722,920,
723,048,404,298,320,759,365,494,315,669,731,339,179,875,712,319,741,111,719,
576,089,158,547,468,616,734,401,018,470,289,342,706,572,286,359,093,012,364,
981,757,344,441,310,760,174,896,839,706,725,061,228,878,312,897,190,622,276,
269,791,261,529,876,260,173,643,337,837,341,208,716,076,016,808,815,007,842,
019,409,488,384,031,490,949,035,295,324,898,173,672,550,568,433,713,799,302,
344,722,811,828,202,436,864,710,002,118,389,108,642,488,503,653,450,573,488,
649,038,668,057,240,608,653,324,206,149,296,032,089,857,859,495,377,020,231,
539,141,316,937,859,574,910,165,918,714,939,637,819,332,557,299,464,029,441,
959,736,565,739,298,862,391,132,978,741,989,785,551,671,480,682,335,495,170,
959,407,279,134,977,577,888,568,917,235,986,993,495,186,811,756,298,397,169,
698,656,906,698,204,614,416,132,030,018,047,674,073,519,566,445,437,555,868,
947,587,988,241,671,651,224,856,361,828,863,203,077,357,937,160,229,128,753,
319,428,637,466,179,640,683,474,858,976,439,329,710,200,909,592,257,152,742,
535,113,815,785,124,191,987,740,708,402,904,224,087,658,814,126,618,139,817,
158,603,189,181,187,468,108,923,955,980,132,924,769,761,365,988,980,945,192,
411,056,563,515,879,653,964,863,642,201,361,784,550,557,930,858,691,275,250,
660,700,520,915,586,584,585,643,957,147,855,584,176,199,673,798,143,052,415,
618,195,497,231,683,311,869,793,379,799,016,099,085,271,589,179,925,230,324,
566,525,159,334,274,138,854,829,268,603,864,020,892,530,836,162,956,412,822,
207,959,731,773,765,340,553,650,530,090,836,886,500,042,578,436,113,700,338,
002,033,138,637,547,634,740,268,449,351,469,454,478,322,471,776,292,520,165,
486,377,035,775,348,961,235,461,612,310,880,329,380,640,320,236,922,434,490,
199,883,173,609,938,921,730,228,764,087,051,143,203,850,777,482,956,256,241,
060,035,743,894,846,578,997,391,582,948,704,227,647,172,568,403,879,804,530,
539,801,955,589,235,821,011,667,358,800,904,767,861,837,173,826,021,548,637,
992,546,984,140,483,139,296,466,784,420,984,427,292,727,098,029,155,876,663,
246,565,391,374,556,720,896,808,009,824,556,018,061,243,035,448,211,636,056,
615,195,335,962,408,147,211,452,815,565,109,235,195,029,528,170,928,826,336,
499,888,753,024,616,499,839,195,050,270,185,690,472,530,769,707,397,146,772,
357,300,956,388,540,401,118,205,298,061,579,572,011,346,074,158,842,751,073,
844,752,671,042,456,891,358,490,563,724,293,570,885,823,999,946,950,824,773,
994,509,999,438,337,717,107,244,988,045,101,226,318,635,610,645,044,501,904,
066,401,012,777,836,401,512,286,718,100,689,666,125,652,512,738,121,737,410,
305,842,784,271,749,668,502,847,355,740,863,827,169,583,131,617,629,895,191,
408,919,053,694,338,600,806,824,647,680,291,809,785,554,991,832,155,752,510,
112,553,421,121,213,678,405,527,028,910,064,119,262,298,805,428,231,370,577,
299,877,842,946,071,019,923,086,444,406,663,863,311,597,087,177,695,214,451,
682,337,164,976,093,566,106,291,779,981,077,524,819,938,074,454,542,761,147,
581,210,005,714,493,632,996,240,877,612,455,702,461,933,991,105,956,077,272,
372,606,145,989,631,325,447,738,552,520,694,564,167,368,227,917,824,990,911,
694,443,825,596,427,427,344,547,209,566,817,243,473,744,154,971,072,247,031,
225,836,731,441,444,506,681,992,346,222,266,456,477,311,940,826,791,184,366,
837,844,906,848,438,370,009,489,475,731,469,888,252,716,125,525,911,884,574,
347,536,380,139,697,570,654,852,766,673,699,310,069,354,648,628,859,689,143,
503,015,443,944,912,137,013,336,269,609,786,500,352,631,178,506,825,256,363,
419,038,272,483,252,086,223,256,757,626,730,407,976,196,330,507,381,574,144,
761,978,137,755,900,623,511,854,394,168,818,290,614,410,007,082,968,250,508,
011,281,039,494,541,986,536,847,383,994,283,393,159,647,103,098,512,614,794,
519,225,273,441,703,052,790,134,511,272,409,775,274,261,704,602,311,166,012,
723,110,710,778,537,884,277,974,914,344,780,204,684,465,797,014,912,352,009,
061,069,881,438,355,479,120,724,575,981,542,372,934,586,789,418,531,508,100,
654,026,469,418,166,591,015,779,649,142,373,834,951,946,499,417,847,005,327,
019,008,494,153,720,084,416,833,392,098,600,738,025,905,082,295,926,876,575,
351,855,637,672,659,059,993,344,382,709,924,380,013,533,533,725,583,471,229,
155,917,655,911,368,708,904,764,693,566,766,891,028,847,609,972,214,397,800,
312,874,819,835,315,225,941,990,419,546,002,671,869,873,438,461,169,251,568,
538,790,799,172,518,129,114,272,531,651,265,783,355,795,444,153,361,471,709,
194,472,659,270,204,197,287,208,267,145,597,881,988,350,585,630,650,870,731,
664,755,592,826,961,523,240,926,189,180,470,613,784,134,246,510,905,686,587,
280,394,149,359,731,148,293,071,034,764,273,924,089,972,065,196,858,247,368,
099,755,325,015,468,466,264,359,521,966,647,672,558,805,054,036,021,113,005,
965,507,980,649,693,597,930,116,181,011,961,479,554,520,509,815,650,197,604,
086,515,227,523,028,036,562,152,113,899,152,805,947,899,233,260,674,794,064,
277,498,749,985,589,946,714,847,885,475,740,390,714,124,841,875,206,982,852,
344,949,386,819,099,857,889,968,149,743,860,097,140,031,511,679,756,344,696,
619,627,790,738,407,612,647,553,915,018,757,170,241,567,455,518,000,642,147,
235,127,777,912,107,214,262,020,839,550,803,263,367,299,199,925,398,136,600,
209,787,026,543,414,916,525,131,719,489,137,171,353,303,757,095,518,754,394,
593,958,363,910,257,318,814,096,413,380,985,618,806,611,431,270,391,793,871,
319,982,186,449,816,469,749,352,262,777,586,897,010,766,485,685,448,076,091,
747,455,774,405,589,450,453,450,718,610,200,082,728,864,395,592,272,107,395,
651,535,815,379,612,175,471,995,197,515,956,154,251,309,166,957,396,241,660,
379,523,480,922,902,631,376,842,259,621,381,939,063,133,338,709,648,904,693,
842,084,822,985,807,520,087,794,010,051,526,518,726,399,686,568,086,687,060,
892,294,393,489,645,472,623,240,408,057,873,933,898,088,789,344,667,791,982,
077,897,663,390,093,573,354,797,675,704,797,570,302,828,073,212,140,668,627,
073,609,878,438,061,778,333,537,649,307,532,776,658,873,565,203,831,461,389,
362,663,908,626,545,016,155,882,469,638,746,202,424,716,018,583,178,739,753,
852,118,070,854,559,659,624,940,130,949,385,285,038,998,910,236,456,489,357,
593,932,562,731,031,152,852,170,553,050,333,602,027,179,371,052,000,965,938,
794,557,290,414,653,034,186,466,755,083,697,267,378,791,231,487,486,119,205,
991,911,339,150,352,568,894,071,234,023,622,854,041,246,816,735,699,306,669,
726,696,361,180,976,769,445,090,967,721,992,778,662,697,660,490,709,769,303,
620,605,896,036,456,376,583,759,488,347,406,510,058,916,037,742,757,403,837,
263,045,897,177,844,011,729,749,402,574,151,971,273,913,229,732,536,292,583,
114,884,203,570,183,032,439,402,098,733,425,938,651,044,973,590,699,644,063,
623,141,993,984,985,536,933,936,085,787,939,504,817,556,651,345,798,970,817,
547,337,803,270,018,658,541,118,190,310,682,737,544,830,286,175,419,320,441,
119,924,896,491,804,122,577,697,382,443,917,993,399,269,374,424,094,921,477,
350,139,756,099,614,569,872,044,955,473,063,702,214,373,801,824,213,532,997,
298,755,431,864,572,249,408,547,158,591,267,673,764,355,415,757,530,070,854,
316,926,893,273,329,023,805,054,320,396,120,042,717,419,938,400,956,463,338,
626,455,946,137,102,148,133,504,265,212,409,034,688,043,514,296,934,100,517,
670,396,998,312,701,312,326,414,775,142,432,868,950,289,044,076,426,006,573,
752,004,905,403,862,553,723,509,153,172,089,999,851,999,829,513,614,265,003,
358,533,097,823,703,299,443,567,967,167,084,996,043,442,512,948,644,460,788,
938,546,052,879,957,394,334,710,425,294,169,534,523,690,325,726,108,116,947,
643,550,906,091,100,815,157,914,345,761,549,337,337,143,831,614,330,056,647,
282,435,984,653,744,925,375,659,396,682,670,331,382,093,450,986,686,489,827,
007,435,826,398,126,758,411,919,032,397,719,150,816,674,900,567,864,487,351,
461,035,592,836,174,988,104,686,166,185,929,053,270,598,317,560,567,226,944,
461,010,422,397,123,027,462,138,030,692,821,458,961,874,435,145,250,464,639,
655,761,678,754,014,338,417,254,348,307,182,202,529,286,271,093,013,144,416,
528,105,768,147,677,821,239,144,962,152,191,998,783,150,469,464,145,103,988,
324,548,686,773,196,244,245,246,252,904,099,907,809,062,782,175,312,897,980,
610,292,182,075,924,392,552,200,988,093,614,174,465,784,660,202,862,918,634,
706,149,643,109,558,660,088,289,852,003,040,076,641,534,622,809,251,646,573,
653,891,575,796,151,598,618,377,811,579,644,677,605,242,523,412,388,411,296,
054,443,913,391,807,757,979,510,917,029,727,713,757,315,964,890,249,061,619,
448,265,928,845,610,495,868,653,454,508,832,580,573,257,380,409,659,380,773,
088,067,587,108,896,580,827,013,233,277,157,777,831,765,629,290,030,769,333,
623,775,823,615,013,073,018,266,731,949,332,045,556,026,676,676,521,296,048,
666,304,949,239,813,093,234,188,962,293,605,943,564,184,524,117,909,476,855,
505,668,107,208,579,095,160,217,629,193,824,617,044,240,832,449,740,952,536,
113,339,973,466,229,285,770,597,603,304,487,979,297,301,739,685,694,755,764,
761,326,548,475,667,259,238,067,303,168,503,944,236,039,911,127,773,557,838,
098,176,041,166,094,704,810,414,250,075,551,501,456,471,382,786,372,460,158,
178,827,164,788,934,451,677,139,899,175,171,969,422,530,007,697,787,189,073,
841,588,464,258,454,128,361,030,138,756,927,847,129,946,039,459,503,907,557,
373,039,411,169,052,848,251,856,140,841,616,636,301,908,246,586,116,448,908,
727,926,412,924,978,533,392,574,209,367,679,571,297,020,813,523,241,591,517,
957,530,872,378,716,932,898,091,598,007,291,072,095,754,790,765,170,827,573,
164,375,748,125,693,520,600,931,311,672,850,604,342,405,641,469,884,281,115,
038,441,353,525,214,784,341,628,370,380,817,174,289,475,415,855,034,225,182,
618,557,119,860,361,777,038,211,625,584,209,636,018,864,339,129,205,035,866,
290,707,403,249,390,481,801,107,767,000,766,901,909,177,062,589,551,706,410,
790,655,253,605,017,113,649,386,468,165,136,940,829,581,022,802,508,091,783,
946,197,674,287,178,310,548,087,684,297,328,137,010,372,627,408,496,622,585,
342,200,063,037,509,253,667,368,168,255,022,516,355,813,120,636,132,336,419,
459,804,028,237,480,163,045,534,972,178,619,331,587,004,745,573,967,979,171,
642,272,293,484,537,388,683,010,814,972,396,307,565,323,508,378,740,237,827,
044,581,906,909,954,854,045,455,903,234,832,842,890,442,160,685,778,171,278,
955,909,662,781,324,256,090,042,572,451,674,731,457,342,111,368,320,701,887,
558,084,800,734,548,193,318,495,931,789,079,398,589,177,883,649,023,907,076,
135,688,993,200,610,651,040,045,201,389,936,703,729,322,674,405,490,905,755,
276,730,235,884,212,395,949,535,714,171,880,568,566,892,564,779,074,647,500,
722,893,173,008,806,030,096,768,673,078,689,241,028,785,643,023,509,683,676,
756,695,781,423,280,786,533,188,758,855,505,575,203,902,301,100,448,132,347,
128,704,232,135,779,156,523,206,698,283,212,964,791,303,380,158,975,241,212,
261,973,324,594,248,423,350,676,072,293,518,158,567,597,393,211,237,211,943,
338,454,517,969,943,802,753,629,550,559,318,092,885,544,240,532,946,461,023,
092,116,083,835,614,188,047,206,089,652,607,900,274,162,353,531,438,253,465,
098,277,679,581,385,209,705,292,686,255,732,859,499,540,144,580,008,549,147,
176,787,901,674,529,247,104,223,329,610,166,560,998,890,353,661,962,309,934,
290,541,553,145,373,830,412,571,437,924,826,438,339,051,002,743,294,973,185,
354,852,028,614,512,320,209,283,744,563,323,334,669,050,256,593,293,301,805,
711,282,458,017,949,372,411,038,271,716,597,695,951,785,201,075,281,679,741,
738,926,698,887,580,272,976,008,206,652,334,686,472,211,691,964,046,778,841,
897,184,381,289,679,638,135,502,133,108,761,393,608,633,468,358,074,484,542,
330,240,406,491,005,882,438,803,908,341,343,850,417,986,699,930,402,480,279,
982,908,141,285,127,266,867,706,836,783,735,590,064,169,527,430,007,756,355,
800,570,510,171,763,550,679,887,322,880,088,248,034,195,478,622,468,817,008,
514,720,921,245,184,328,586,344,873,012,575,913,850,375,364,182,656,955,491,
853,298,964,020,180,077,098,151,625,479,906,208,107,324,635,966,338,080,558,
820,395,255,050,448,061,218,675,999,537,456,561,451,745,823,197,234,441,602,
237,284,778,590,261,123,938,655,922,072,164,597,667,467,101,418,124,952,144,
137,182,627,216,765,403,685,167,124,931,798,989,636,668,841,953,578,321,800,
641,673,607,052,790,897,849,329,955,917,834,248,477,917,782,333,725,207,190,
776,724,289,609,696,981,081,167,851,280,835,846,476,706,771,697,731,406,393,
599,014,521,839,370,546,092,579,386,287,338,429,632,716,507,810,129,612,250,
178,311,728,929,728,116,852,152,233,130,730,495,502,262,772,795,317,319,374,
995,316,033,843,792,455,261,601,220,705,774,523,664,601,430,353,705,475,931,
552,942,811,219,068,066,735,897,871,246,432,260,627,035,923,732,170,002,550,
332,324,359,125,568,018,383,930,521,405,016,210,121,243,933,367,544,908,627,
815,578,775,950,044,733,489,152,236,000,872,318,280,562,574,923,263,338,793,
647,398,154,387,364,416,167,267,245,948,516,755,035,299,787,021,273,864,528,
767,713,471,311,726,409,155,157,467,666,421,412,788,871,609,507,310,068,917,
626,241,027,365,057,982,177,642,140,860,411,865,064,675,771,989,829,358,365,
468,137,894,615,545,818,562,959,673,729,199,048,655,453,300,622,553,366,815,
847,402,766,600,564,110,833,367,751,911,736,590,777,360,811,263,271,986,650,
436,035,264,966,503,895,028,074,090,749,788,186,842,975,021,344,574,104,041,
386,516,881,052,311,784,961,784,995,204,722,172,252,705,198,713,275,371,115,
052,793,923,788,291,135,476,014,443,871,839,624,699,977,822,013,200,422,212,
637,456,824,727,563,848,578,265,293,388,088,444,358,849,140,554,281,729,835,
283,281,298,705,413,218,870,363,214,565,785,484,840,443,812,641,055,578,515,
104,821,741,896,015,795,139,678,167,215,948,896,460,257,789,974,593,475,348,
276,256,703,872,019,616,694,481,700,029,726,521,695,005,374,164,497,006,178,
536,545,725,638,357,892,282,588,828,562,248,704,193,147,095,027,895,465,969,
072,510,399,456,414,161,238,337,856,823,658,635,802,949,896,943,782,735,283,
959,079,204,951,085,142,863,482,266,215,023,716,482,797,206,830,293,299,395,
404,144,996,237,532,510,818,540,145,969,563,945,937,936,453,506,992,506,420,
100,762,124,981,947,105,058,948,328,157,597,116,251,270,875,310,752,056,451,
342,308,115,729,679,126,397,045,964,917,467,615,298,079,966,277,639,255,790,
315,545,955,920,495,028,770,885,727,414,799,215,489,076,268,196,909,204,428,
183,652,412,064,738,918,429,371,207,906,600,226,345,635,563,719,686,882,733,
361,872,024,245,400,197,923,630,163,712,489,631,878,762,945,848,135,634,414,
738,188,318,573,327,052,914,376,649,530,231,165,220,296,120,594,851,652,106,
707,489,129,404,781,708,353,372,426,934,525,398,544,506,369,675,298,835,402,
551,066,811,260,347,383,861,681,510,699,399,737,488,510,876,828,965,170,537,
078,866,936,915,582,266,998,294,739,611,036,566,090,007,198,078,635,548,101,
013,638,079,840,648,105,663,922,092,371,350,999,931,274,216,829,273,004,955,
602,924,601,963,564,790,292,462,121,065,951,668,012,377,819,161,786,552,003,
994,808,412,355,194,016,914,730,077,090,708,737,059,162,968,726,093,132,836,
461,212,939,908,016,415,478,772,466,435,826,413,289,089,224,582,135,140,767,
635,133,906,366,594,746,573,670,471,001,844,079,530,441,968,338,168,154,600,
856,833,679,046,676,762,303,132,939,436,132,388,988,995,660,618,030,578,618,
310,030,515,171,113,543,584,669,803,384,864,861,131,490,589,051,382,629,097,
687,374,599,644,598,297,975,645,642,447,643,335,144,490,833,304,648,196,762,
981,234,065,368,429,666,510,137,832,678,003,837,759,068,814,217,142,723,547,
959,609,204,161,565,073,271,337,189,611,818,869,246,866,219,696,235,292,247,
152,106,279,052,811,168,017,801,948,256,707,080,721,623,611,646,608,897,511,
329,452,912,372,146,637,460,924,041,045,952,063,777,801,292,945,909,748,527,
187,367,616,787,550,324,989,801,881,307,152,195,470,736,521,006,694,592,228,
256,298,382,933,478,259,556,660,608,223,370,211,807,908,605,372,154,490,470,
042,116,013,007,946,522,262,102,136,612,155,569,500,693,147,308,242,796,250,
024,598,686,725,075,185,507,386,244,994,576,338,924,831,505,772,930,366,907,
145,391,221,158,574,796,001,918,069,806,987,924,582,909,323,723,076,432,068,
984,330,123,833,326,179,222,046,434,351,546,816,890,513,992,698,941,953,714,
537,770,443,099,905,945,543,153,955,692,364,444,238,746,937,644,277,714,923,
489,027,483,577,655,824,241,772,881,764,586,807,527,792,517,907,886,423,601,
428,869,986,519,721,687,228,081,219,000,369,551,604,473,693,414,019,674,354,
719,942,228,614,136,977,840,320,722,144,129,104,374,133,324,914,135,162,850,
067,949,040,264,282,508,800,906,140,045,290,791,515,805,594,875,869,014,207,
996,455,495,305,000,014,067,506,387,512,429,007,108,338,480,215,236,860,249,
743,293,607,430,600,573,458,423,196,658,293,007,048,570,214,141,274,961,898,
156,214,444,002,858,444,177,719,553,572,584,806,310,865,574,015,228,232,883,
744,576,433,275,475,750,859,077,143,390,959,014,165,890,110,695,960,230,703,
788,836,742,024,148,099,254,893,507,672,573,067,116,678,144,759,816,773,685,
705,161,999,508,549,727,979,172,954,943,938,612,203,556,306,508,795,718,945,
712,121,741,368,967,450,100,691,171,476,161,077,631,375,500,139,284,085,026,
370,711,861,267,157,366,113,980,841,161,226,192,953,512,132,637,909,809,385,
318,163,647,744,859,634,539,240,824,076,001,689,435,980,878,403,380,919,583,
052,234,967,880,579,432,103,379,674,872,536,619,841,950,344,773,075,278,700,
555,339,693,702,809,526,750,681,400,321,365,854,111,879,037,618,356,331,298,
490,813,014,748,582,153,332,516,679,250,938,465,307,828,698,959,359,456,975,
752,038,340,776,624,086,665,900,868,281,168,224,763,630,609,968,193,505,217,
894,132,444,218,766,985,235,159,560,636,653,805,931,324,150,695,801,728,399,
894,836,320,988,539,737,185,483,381,958,226,380,210,743,559,809,397,227,914,
575,781,532,717,584,661,483,382,585,968,816,343,082,110,168,685,650,695,743,
813,244,749,628,967,457,795,891,527,834,865,444,888,240,554,085,249,010,460,
536,128,566,191,265,123,196,143,786,385,355,205,071,028,426,999,922,163,144,
041,165,829,388,766,063,038,340,346,347,708,331,953,085,718,905,365,906,920,
489,686,087,251,454,961,841,771,400,952,292,373,711,137,596,720,083,808,349,
805,828,299,787,324,494,634,904,229,699,791,877,867,944,501,046,344,883,755,
746,741,315,692,968,904,759,191,701,051,557,340,117,434,483,587,381,673,154,
834,168,974,725,262,290,621,857,703,743,336,006,778,743,148,396,176,799,306,
359,580,776,842,619,149,390,593,093,566,327,315,137,550,262,495,790,066,448,
591,018,841,355,805,630,098,476,372,387,535,176,710,000,929,288,600,072,326,
179,178,878,046,413,054,908,809,823,576,695,604,174,816,949,397,381,835,584,
487,964,968,846,090,159,198,871,912,516,179,639,577,604,807,581,501,568,889,
843,487,220,348,663,442,157,583,186,044,714,591,119,260,756,552,991,151,723,
754,627,751,696,437,840,358,769,511,856,130,554,344,741,069,738,940,226,035,
548,785,283,825,683,184,246,745,378,688,015,807,243,157,309,786,703,870,270,
554,042,472,495,018,487,130,679,987,214,055,351,139,141,623,234,583,894,429,
465,892,044,045,814,657,910,095,987,325,063,710,267,691,333,563,356,784,962,
891,203,938,027,847,150,675,104,823,653,750,805,866,728,161,437,513,469,163,
803,525,770,450,581,270,241,668,385,278,137,250,588,147,702,520,038,199,947,
875,376,199,697,191,928,941,581,831,049,883,147,247,898,856,523,063,899,528,
500,198,870,825,338,390,573,729,263,219,727,578,116,763,800,523,986,258,244,
567,510,602,530,878,805,356,901,582,707,138,495,541,932,871,708,166,875,300,
501,926,775,849,820,163,777,506,030,366,666,985,113,803,340,381,599,735,043,
989,133,788,884,037,315,330,490,850,133,109,103,361,485,392,942,766,470,487,
503,914,431,693,680,816,746,493,039,068,951,696,997,649,287,142,830,332,352,
682,252,250,592,470,721,483,572,234,046,164,814,672,952,671,571,208,293,572,
287,714,123,337,035,048,842,870,464,071,703,291,634,647,048,565,387,757,915,
309,658,873,432,299,794,651,920,152,855,087,846,821,380,080,816,061,606,991,
341,136,349,429,038,491,875,053,839,319,172,648,412,203,011,816,175,454,105,
867,346,434,583,505,754,553,242,858,928,123,324,130,516,885,080,413,114,735,
107,198,307,768,450,026,821,035,943,822,737,886,181,871,154,044,173,582,545,
931,449,601,703,737,671,357,316,237,557,399,692,493,229,885,602,635,938,110,
890,252,399,674,048,115,481,869,360,044,623,807,242,350,499,926,330,517,584,
020,594,010,984,636,438,543,128,785,302,376,645,710,054,028,559,900,942,228,
373,381,185,813,882,165,719,624,109,235,436,759,985,873,304,469,721,865,854,
983,067,155,285,050,881,593,670,657,950,576,003,701,725,396,641,398,358,038,
916,724,895,078,035,092,343,787,544,214,978,939,452,337,794,300,190,514,188,
807,492,523,046,902,532,083,588,766,575,155,212,100,672,843,279,631,243,940,
904,329,101,555,011,486,209,008,924,295,166,309,475,400,633,703,159,725,796,
109,254,156,087,364,579,957,471,188,235,614,193,939,729,511,490,523,295,217,
221,412,525,402,055,176,147,354,155,081,443,244,369,278,697,822,611,884,115,
584,681,501,586,240,182,137,089,071,442,741,190,483,906,283,505,387,550,187,
635,330,117,997,871,216,003,228,741,555,951,468,214,598,887,522,897,767,093,
383,358,168,788,324,695,052,695,896,025,600,599,156,222,833,953,280,656,997,
817,981,232,113,271,906,408,724,235,241,694,205,380,255,201,290,866,801,619,
441,284,832,646,109,187,940,424,308,899,165,304,937,764,504,956,333,151,293,
988,127,949,765,579,687,941,108,965,272,833,944,725,416,360,006,004,634,640,
242,776,533,726,740,978,313,416,157,335,344,709,496,481,952,559,005,250,366,
094,724,932,900,818,187,592,446,184,367,458,847,433,301,783,676,189,976,821,
971,264,681,834,607,582,980,716,818,166,765,691,001,097,657,988,444,699,452,
605,414,639,320,586,765,937,306,112,768,742,896,005,788,306,287,034,108,685,
335,265,980,666,453,948,651,870,716,269,263,181,120,043,459,153,130,385,926,
611,926,569,855,536,220,696,029,878,396,204,468,466,103,848,681,012,810,379,
635,370,043,569,592,442,672,461,824,749,218,816,465,169,227,070,772,887,350,
900,814,753,452,595,614,065,539,851,521,387,314,858,055,228,916,221,753,388,
445,629,722,344,382,647,274,458,926,552,143,151,360,600,027,104,182,068,395,
861,741,182,303,444,093,209,404,207,316,570,011,313,848,939,432,736,204,472,
580,099,146,239,504,548,252,903,725,583,680,924,530,499,526,927,604,792,196,
212,625,404,562,896,497,423,840,113,310,827,088,850,390,369,689,801,973,533,
228,484,300,261,348,934,166,717,621,454,924,682,549,643,424,051,296,197,891,
161,172,667,152,829,481,142,034,942,891,667,064,480,886,398,406,264,530,709,
281,568,852,077,660,403,096,196,121,367,022,182,814,603,916,138,919,459,543,
911,719,024,269,928,470,300,211,652,430,786,561,564,365,759,253,032,481,960,
904,026,510,649,500,206,257,244,741,858,150,021,868,859,677,188,059,999,539,
029,673,459,409,871,802,756,518,729,026,432,302,356,785,347,901,676,738,005,
065,268,030,203,989,775,603,813,277,961,446,144,692,480,501,265,819,517,804,
711,552,344,846,176,408,440,136,357,572,260,383,308,361,620,149,700,793,929,
468,795,659,118,863,734,928,957,925,923,185,023,472,182,660,013,247,370,085,
203,128,322,279,291,955,096,739,153,493,373,420,668,921,530,108,189,686,404,
633,311,001,717,467,239,573,771,055,724,025,110,145,858,692,029,836,284,607,
167,704,514,328,853,756,576,688,513,208,106,894,922,743,468,865,351,765,907,
311,793,952,320,903,714,755,594,425,939,315,161,959,407,753,522,515,349,947,
276,823,744,743,527,598,009,329,114,782,753,557,738,656,323,474,693,879,938,
471,639,732,652,011,892,064,383,955,344,432,799,444,711,520,682,903,185,130,
055,720,620,136,550,251,667,387,975,775,468,580,647,672,684,771,621,900,736,
507,408,593,521,578,259,148,809,902,201,491,048,683,642,899,027,089,153,421,
214,346,007,367,624,082,592,482,839,336,331,979,685,641,657,818,843,309,367,
435,957,546,198,917,758,151,287,496,391,041,342,084,394,656,440,524,714,507,
236,100,897,034,521,936,336,992,993,342,901,546,640,653,954,277,010,586,265,
231,643,573,849,671,141,420,631,012,442,571,657,340,929,798,671,322,788,469,
942,876,589,761,560,335,330,997,090,237,885,899,486,544,773,571,420,288,666,
373,663,459,311,937,899,334,507,447,402,708,234,472,260,371,401,128,894,067,
100,552,553,084,720,579,965,497,991,665,871,678,444,157,566,657,021,548,126,
831,582,963,188,156,665,737,903,142,042,114,214,040,511,873,503,668,073,847,
549,471,068,555,687,829,445,901,240,802,549,542,566,363,696,704,961,866,438,
128,890,602,965,153,338,989,614,619,786,202,050,517,781,049,438,886,234,334,
618,719,476,031,671,217,556,283,003,246,821,190,184,682,381,201,846,706,493,
805,738,341,755,449,183,472,438,272,242,053,315,149,550,396,587,512,439,419,
449,137,565,519,330,150,297,934,602,334,318,119,611,582,891,166,941,102,600,
287,115,146,404,198,211,211,095,332,937,432,217,395,587,570,251,822,083,948,
277,300,553,277,928,208,136,951,792,065,942,883,633,294,194,955,382,565,708,
663,608,402,274,833,502,259,161,472,225,741,631,699,853,842,733,707,379,464,
104,345,510,935,834,149,766,439,531,494,841,656,588,760,602,513,699,536,636,
478,542,571,882,408,338,120,726,901,998,599,521,085,711,599,965,023,183,262,
743,905,847,321,767,807,335,880,891,766,059,550,293,380,595,029,311,706,014,
082,666,457,933,466,443,443,903,773,061,161,795,448,727,143,410,844,465,868,
069,738,687,308,983,366,016,466,945,767,852,718,008,284,319,684,983,338,233,
687,653,725,163,115,798,386,239,352,322,857,041,369,452,842,089,790,868,084,
419,098,716,711,905,789,919,121,289,718,032,584,632,991,632,304,510,499,781,
549,511,425,123,534,852,350,099,838,307,809,675,472,787,327,914,186,844,208,
935,056,525,990,755,724,483,726,034,054,026,308,645,795,485,716,691,575,678,
580,017,701,047,575,753,615,211,850,834,881,620,073,019,784,643,979,574,029,
759,152,930,718,671,390,244,672,201,499,685,697,423,954,456,892,655,359,134,
381,719,808,469,590,866,683,560,520,448,894,471,440,048,575,652,113,644,770,
161,166,216,347,180,638,196,381,203,031,811,488,822,041,840,772,877,026,378,
719,528,942,056,095,079,615,472,490,898,661,732,521,842,314,713,924,806,372,
095,172,505,818,057,034,765,071,587,453,145,508,187,476,760,223,691,909,515,
898,082,479,877,282,113,052,715,044,271,480,652,840,817,916,524,792,949,561,
807,548,797,463,622,397,309,074,227,574,934,494,421,378,685,276,151,931,990,
313,837,327,071,067,945,378,259,457,897,738,369,248,687,687,295,393,449,569,
401,442,737,509,862,747,146,261,955,612,197,657,375,473,523,958,007,865,673,
505,590,849,478,618,293,231,685,272,281,305,087,187,183,760,083,449,295,128,
827,212,667,290,375,440,891,387,744,412,831,784,843,145,942,397,502,794,047,
825,202,558,318,032,624,857,131,597,593,367,358,535,350,823,574,390,731,185,
586,539,709,828,284,788,561,158,481,163,789,438,452,046,521,822,059,557,128,
895,259,202,953,324,147,792,006,768,633,302,084,503,374,073,381,309,345,244,
146,719,943,860,164,750,497,109,350,862,952,900,889,342,953,270,851,450,197,
872,463,903,142,706,074,948,529,841,994,368,565,741,496,261,015,875,698,549,
378,275,346,866,528,922,416,064,839,943,937,363,067,183,699,874,635,269,822,
457,995,092,230,803,453,184,210,002,981,122,403,768,528,059,244,029,547,493,
139,219,562,444,167,265,768,153,058,066,849,720,682,394,318,862,434,938,071,
489,443,288,547,018,118,198,867,803,454,971,650,018,917,610,565,402,334,459,
622,319,895,176,115,168,269,770,052,926,493,245,575,961,932,057,180,658,442,
652,679,704,002,506,315,938,523,378,176,178,373,375,838,126,731,452,186,281,
360,716,366,686,029,295,428,128,628,346,813,307,250,508,656,584,966,861,474,
725,853,212,143,595,091,503,810,991,680,865,614,389,916,297,271,932,142,642,
284,450,486,459,432,613,382,144,640,425,847,316,384,893,915,156,573,019,772,
927,589,002,115,254,548,171,328,881,501,707,646,360,677,997,707,016,764,407,
460,333,175,642,773,123,995,326,395,681,195,158,929,657,766,714,185,942,801,
539,606,408,838,427,294,353,799,789,279,693,642,060,242,297,774,209,357,053,
377,470,000,368,536,691,428,381,253,857,950,264,973,176,172,435,202,712,487,
891,779,384,685,732,627,902,941,539,123,603,120,659,771,298,000,180,401,652,
313,609,174,143,562,173,251,137,446,408,959,301,625,054,846,059,152,840,109,
697,932,940,934,619,870,285,713,138,453,978,027,256,452,438,887,203,322,673,
033,782,012,027,766,562,927,262,454,704,340,181,547,219,825,536,327,143,176,
966,167,938,873,683,631,064,607,705,695,684,383,072,757,791,154,357,643,566,
961,687,634,099,455,084,734,870,633,625,888,552,179,119,393,445,116,592,450,
993,279,113,093,291,185,793,829,688,517,905,021,709,793,418,293,422,295,602,
128,710,321,063,643,568,208,233,106,560,268,873,207,281,451,040,048,823,303,
602,785,204,879,535,901,107,608,994,006,212,222,095,053,877,530,582,071,964,
808,795,331,577,243,722,246,194,142,444,446,038,837,554,325,125,505,419,071,
168,227,084,041,753,687,720,520,411,072,739,406,613,631,491,485,433,271,171,
906,117,132,620,518,290,237,511,354,730,641,527,966,852,288,320,015,372,173,
622,991,165,384,076,986,229,688,919,320,320,710,612,830,495,380,650,284,961,
123,003,669,275,450,144,534,603,656,364,803,277,344,494,723,226,352,984,937,
012,088,544,854,980,693,821,983,937,056,414,473,808,714,315,572,542,040,912,
815,535,904,897,476,550,065,093,499,773,832,591,664,333,674,059,647,402,237,
631,247,538,599,009,590,745,131,557,236,330,726,732,914,366,960,606,863,842,
512,434,807,918,446,070,923,189,411,063,728,383,956,390,386,920,430,405,147,
477,946,287,516,278,744,013,041,505,681,421,598,960,530,446,021,134,288,780,
438,500,469,886,383,538,433,744,731,894,813,292,071,677,799,027,135,384,005,
461,142,607,304,124,244,680,851,046,445,425,308,199,331,092,850,710,640,411,
557,323,653,774,043,109,629,452,134,490,476,639,046,019,844,080,477,274,719,
131,889,244,607,382,478,858,489,030,040,640,690,261,268,977,531,765,023,354,
025,510,971,866,687,066,038,617,414,320,490,871,683,012,496,777,397,670,521,
628,358,144,668,499,868,152,883,713,957,688,422,883,721,703,526,887,418,927,
020,221,310,256,463,764,888,053,029,112,063,315,206,638,826,910,882,088,753,
983,731,823,666,884,952,451,612,173,118,212,722,972,262,107,319,959,888,041,
107,817,564,955,346,317,823,177,213,406,239,149,639,339,612,993,666,458,143,
583,547,630,444,296,105,509,256,850,435,562,598,791,876,388,250,841,513,838,
412,902,513,552,115,728,707,981,984,220,057,640,222,222,275,844,208,868,013,
575,126,850,151,641,069,788,410,063,383,808,694,686,750,375,727,829,910,270,
371,329,152,817,773,467,666,746,639,200,816,047,676,485,805,682,335,281,505,
826,600,598,074,572,969,669,651,496,778,648,327,189,819,387,502,259,006,217,
644,563,190,171,207,505,690,043,270,197,613,871,236,961,251,967,791,384,748,
104,376,183,153,730,772,488,813,250,363,194,140,936,593,969,710,470,230,840,
379,074,670,359,863,534,154,994,479,741,951,972,428,981,443,380,934,470,374,
958,016,382,333,345,481,784,147,083,523,253,414,555,295,299,065,223,742,584,
466,545,899,898,242,312,855,364,095,809,489,529,199,285,467,183,763,138,941,
600,728,786,753,560,633,153,430,139,199,798,930,547,417,772,819,667,148,709,
082,520,319,545,748,904,085,295,999,782,219,419,376,217,136,647,011,885,975,
641,455,096,471,889,833,167,156,125,648,461,547,330,886,414,822,974,023,970,
631,302,864,947,968,663,326,041,810,479,597,976,622,623,085,925,186,608,638,
281,257,361,609,560,008,493,687,361,454,295,681,383,862,721,443,069,925,335,
217,921,542,614,408,735,373,186,752,582,177,121,847,737,013,698,536,364,325,
013,727,935,765,837,636,413,021,586,919,216,616,024,972,883,195,002,834,928,
441,909,448,190,605,259,744,243,240,773,372,127,011,451,121,751,908,446,586,
725,487,773,587,484,741,469,517,177,826,546,927,727,524,938,883,439,403,303,
997,076,867,430,706,422,647,267,384,816,646,815,056,087,163,852,041,123,004,
748,307,817,133,659,444,293,308,027,030,810,510,608,543,893,250,065,596,690,
698,653,725,639,162,690,606,806,647,743,734,633,992,984,162,801,137,573,539,
727,364,002,278,963,918,651,219,902,230,412,193,371,619,510,620,405,357,021,
941,606,134,746,645,314,162,159,439,612,745,256,135,923,007,666,874,625,230,
110,526,096,215,635,398,029,843,275,485,691,551,206,649,779,669,996,061,761,
486,535,122,891,905,573,036,684,277,367,968,196,973,849,941,873,424,641,878,
548,952,264,102,223,892,499,586,991,308,072,167,338,786,355,273,789,130,577,
861,598,438,168,826,201,640,260,533,395,879,199,394,718,233,735,492,622,885,
534,913,894,732,254,448,593,370,887,444,049,520,180,327,165,305,383,958,365,
951,274,393,918,836,127,402,962,737,549,399,006,650,760,163,080,404,123,514,
988,065,618,021,355,492,676,820,163,983,026,223,759,832,534,831,718,538,151,
516,127,908,411,188,948,948,994,914,574,225,983,651,494,481,517,690,186,428,
191,671,550,973,593,190,430,283,318,264,561,102,549,738,927,529,766,794,687,
964,914,088,450,159,733,117,556,467,518,100,668,397,615,970,141,497,641,751,
030,793,813,628,947,661,297,174,854,742,042,625,011,826,240,506,481,322,823,
348,641,913,950,337,172,920,726,153,731,652,329,548,842,900,534,144,015,787,
876,412,945,410,516,864,417,194,447,593,005,709,531,756,610,354,208,201,009,
026,542,438,014,088,143,810,670,975,856,179,329,951,741,253,846,939,444,904,
867,208,046,009,795,422,009,055,494,486,254,957,727,815,914,962,923,704,932,
728,414,058,872,352,446,719,339,552,660,774,047,470,429,763,830,352,349,764,
518,546,655,406,185,567,157,197,530,260,961,257,505,099,202,414,454,805,655,
462,199,092,647,770,166,845,816,243,935,741,224,760,051,972,915,047,151,702,
031,811,944,302,183,019,788,650,057,778,343,155,082,419,686,851,658,174,423,
071,418,733,715,821,304,014,679,649,376,061,330,996,131,211,153,954,640,772,
454,036,878,362,961,085,059,135,591,793,957,205,033,192,896,390,105,551,299,
365,347,159,996,481,128,006,714,587,121,811,243,467,800,487,042,469,905,953,
632,518,902,957,618,969,732,324,024,216,790,835,221,773,444,621,038,847,178,
040,107,906,825,103,657,041,859,844,459,435,813,986,768,728,527,100,645,013,
781,161,622,728,929,421,432,673,223,029,619,008,885,435,931,975,641,879,496,
362,211,069,964,028,282,547,619,275,332,246,986,340,603,889,596,116,078,742,
850,635,622,810,714,839,098,721,132,211,763,672,707,443,321,604,908,835,180,
645,876,112,914,094,306,326,445,500,030,640,489,473,090,818,242,600,103,383,
268,768,237,298,118,685,490,492,311,167,838,387,763,181,559,215,396,473,614,
731,303,959,330,429,771,658,658,705,174,331,291,929,605,817,387,744,123,483,
675,722,932,263,166,041,776,419,263,343,597,291,692,922,037,693,450,460,848,
907,705,016,545,698,514,492,499,908,143,775,252,067,036,044,712,472,840,304,
046,926,555,930,392,427,594,869,283,196,327,749,234,283,598,979,977,492,238,
153,728,996,823,643,060,311,200,945,396,387,682,703,880,574,909,111,060,565,
157,062,029,614,705,585,006,160,280,678,320,897,000,444,126,742,717,636,799,
617,967,545,603,482,833,939,271,756,197,059,960,862,557,804,331,092,410,208,
516,379,666,544,785,450,201,752,842,780,742,136,913,924,790,220,795,634,259,
995,327,919,817,522,438,952,889,255,784,318,768,100,576,185,367,853,552,025,
375,500,976,895,401,896,242,412,656,479,897,149,252,612,331,290,232,966,277,
659,413,905,744,162,590,481,100,254,309,352,145,590,636,874,889,207,118,456,
334,661,223,413,327,154,037,478,745,012,740,298,760,387,443,341,561,711,807,
146,775,484,391,894,132,802,536,140,643,158,367,716,556,967,917,635,056,233,
786,945,451,307,395,322,682,866,654,162,657,816,200,918,251,709,414,807,419,
904,121,242,360,376,795,900,620,995,368,782,545,132,559,525,112,511,387,006,
209,445,654,996,991,892,286,918,406,283,760,346,760,590,745,933,025,097,555,
176,581,428,993,724,433,646,074,785,382,059,848,618,793,522,997,324,374,300,
138,769,614,364,308,027,817,569,240,427,493,189,259,800,445,044,231,355,544,
180,742,886,446,981,015,071,494,623,778,466,375,275,377,863,838,037,005,882,
555,820,253,274,190,911,675,452,675,265,979,842,157,361,657,690,163,647,606,
858,098,898,880,048,158,784,920,574,347,643,698,779,907,897,573,194,181,084,
751,375,781,522,569,760,525,673,324,294,849,348,171,069,941,047,539,328,365,
195,796,934,986,484,152,190,752,135,722,748,224,999,610,160,101,963,483,600,
563,218,227,459,516,494,533,434,402,479,409,429,730,200,562,855,693,946,943,
345,548,999,777,485,973,899,619,406,447,242,543,197,479,944,936,668,885,066,
439,113,152,585,871,699,758,816,604,533,735,567,328,484,497,378,712,620,966,
680,061,075,055,871,641,363,596,125,331,748,864,020,521,471,664,868,899,231,
535,244,579,069,181,742,821,433,916,818,411,008,070,952,732,852,979,588,174,
133,688,667,556,434,246,901,847,473,332,277,528,972,383,125,699,380,087,275,
231,717,026,530,253,227,069,439,718,177,000,119,795,444,209,585,757,401,397,
517,126,532,933,796,549,897,928,939,795,515,430,270,437,995,903,145,014,797,
391,083,937,366,319,146,549,355,517,195,537,908,343,320,899,780,195,556,438,
126,174,809,073,644,946,565,307,462,140,034,067,222,030,637,965,603,088,736,
445,106,433,500,654,047,469,653,389,193,755,760,465,435,077,176,456,995,618,
547,271,451,185,514,710,429,995,623,550,378,846,925,740,003,641,521,539,269,
956,804,427,419,874,884,390,985,590,309,596,472,583,449,694,366,910,544,436,
832,624,148,540,214,414,944,263,918,397,121,159,196,862,217,061,337,854,482,
826,419,584,786,242,756,456,909,419,628,775,662,868,491,102,139,753,406,015,
105,631,955,756,173,253,089,092,253,156,901,263,814,683,074,061,777,099,337,
842,983,950,363,982,634,958,738,643,708,654,903,026,118,109,069,657,409,571,
879,372,696,198,350,214,092,380,574,882,195,257,410,558,903,989,626,309,804,
417,549,643,038,187,515,422,313,670,446,269,875,991,132,636,603,624,474,440,
182,296,040,495,109,315,915,362,362,753,053,590,604,470,670,838,083,847,001,
933,205,313,693,920,850,515,081,367,940,425,043,455,066,788,612,108,601,568,
206,788,832,204,608,052,192,179,657,790,000,243,592,705,238,912,368,119,683,
757,048,151,185,191,213,441,507,089,381,789,547,403,935,389,564,648,290,147,
087,420,447,412,317,633,084,816,685,944,052,916,448,841,796,447,632,841,780,
266,815,804,933,469,369,459,759,623,824,338,141,658,208,201,415,794,063,332,
586,437,025,119,423,419,217,695,306,583,531,328,140,473,170,348,989,533,903,
019,917,460,548,584,187,134,108,646,407,870,930,381,814,605,677,139,533,125,
569,710,238,161,962,212,844,991,198,652,028,329,978,676,077,323,395,131,876,
380,642,033,752,666,588,275,709,955,870,610,365,416,495,831,161,612,116,683,
900,746,135,188,117,638,836,339,682,398,675,566,170,834,622,888,839,155,968,
304,353,924,876,513,606,235,533,206,747,062,357,553,017,345,541,805,220,945,
163,657,587,067,480,112,888,073,928,173,264,191,147,806,980,647,463,093,596,
576,182,370,092,338,649,864,403,135,367,127,192,783,626,620,686,879,345,749,
652,152,178,908,296,741,815,379,298,170,572,195,760,240,896,401,797,523,067,
565,915,289,724,136,337,963,814,858,209,372,912,992,315,816,075,353,970,760,
582,295,207,655,282,361,088,138,154,022,224,969,376,702,443,814,629,481,953,
978,469,513,342,252,812,654,870,724,314,592,340,525,850,082,787,621,620,993,
488,664,047,145,668,086,442,342,229,843,403,867,563,219,269,621,894,788,698,
187,596,001,261,791,951,815,658,270,726,801,150,992,757,651,775,774,782,848,
644,754,163,506,327,400,919,845,363,521,129,891,891,722,367,817,101,664,279,
369,427,417,523,585,494,670,069,520,180,467,242,971,100,145,483,062,264,297,
145,277,984,402,252,031,594,910,204,113,294,191,074,348,586,362,916,067,702,
410,525,290,817,881,821,944,926,932,709,512,416,910,283,333,364,323,032,027,
956,090,569,458,245,714,601,122,685,776,113,265,090,289,426,415,529,248,739,
191,733,259,093,382,259,134,539,941,117,809,835,723,455,675,790,249,602,031,
537,818,077,338,615,419,207,386,530,405,943,965,010,705,814,487,140,951,591,
401,413,477,806,736,399,730,712,156,421,453,001,020,756,817,986,514,940,934,
603,581,551,018,875,091,960,193,794,201,231,357,432,038,059,753,641,396,086,
362,091,720,916,414,969,754,265,065,099,010,598,030,894,548,005,023,097,895,
513,998,137,964,892,321,901,809,672,991,210,989,658,347,934,356,774,392,270,
859,511,912,586,368,785,673,025,505,237,822,644,818,376,201,461,194,058,892,
785,081,179,373,692,191,705,369,857,389,466,766,851,070,564,897,142,997,319,
013,793,659,261,339,054,724,154,331,947,216,806,515,668,984,290,831,711,947,
721,910,658,200,785,237,595,007,604,299,062,006,060,948,191,546,265,394,302,
542,745,003,144,969,781,739,114,922,512,131,871,047,375,529,693,381,803,237,
270,762,746,447,545,831,085,362,020,816,956,205,754,559,929,405,879,924,133,
687,803,568,348,069,392,380,446,905,722,933,727,774,361,504,216,418,474,345,
560,183,041,106,239,324,029,356,340,221,613,933,052,331,138,111,773,524,335,
559,783,045,826,140,736,967,765,244,170,764,208,339,636,903,038,223,103,258,
583,973,353,062,912,732,384,023,783,806,783,741,789,084,570,299,725,373,812,
330,377,281,998,888,124,482,784,078,442,325,383,627,015,668,476,739,896,983,
265,184,263,032,356,631,672,126,341,915,010,368,646,788,528,087,586,594,409,
506,672,746,634,377,285,215,225,953,781,568,108,323,316,060,082,220,441,001,
376,840,120,248,749,626,566,248,872,981,189,918,210,808,666,859,544,097,145,
353,684,472,342,437,007,687,846,845,235,450,046,830,350,346,598,166,869,941,
790,335,327,974,910,884,212,256,295,542,848,907,864,763,335,367,089,474,547,
128,721,140,191,311,260,956,020,710,446,988,477,768,556,289,019,589,735,146,
099,293,133,365,655,249,827,463,128,398,116,791,015,521,036,088,024,002,861,
550,640,206,722,005,333,963,189,803,409,495,983,870,875,195,770,074,640,365,
565,964,724,704,167,760,789,135,334,921,171,290,861,832,323,398,645,386,310,
878,979,150,175,581,292,999,666,381,388,664,669,564,556,192,693,106,060,141,
457,830,286,399,340,356,991,989,392,625,903,657,896,232,508,742,877,145,590,
218,917,267,768,339,143,601,205,020,922,647,329,366,091,647,614,079,017,168,
943,236,145,423,326,434,623,025,767,740,608,591,581,807,838,443,040,569,561,
764,237,224,387,953,484,117,052,938,108,258,559,785,488,311,441,948,051,724,
037,883,740,158,052,066,322,505,092,951,290,467,485,131,611,936,527,042,857,
629,914,472,771,007,071,741,361,186,389,208,561,865,364,048,141,480,603,010,
463,820,710,123,353,295,215,385,079,163,546,180,752,031,163,742,518,506,571,
720,545,090,042,561,919,581,674,384,488,077,878,863,645,895,024,503,518,119,
848,193,746,322,738,260,733,428,980,931,095,811,038,558,539,872,897,216,152,
533,353,582,238,849,869,334,939,487,418,912,875,594,663,379,468,083,099,799,
838,503,701,635,718,698,526,670,726,105,588,696,334,861,511,840,330,863,166,
529,479,061,113,362,436,013,781,599,620,161,486,892,907,558,138,484,798,499,
078,269,276,732,894,792,479,347,068,010,180,652,671,886,684,446,574,641,751,
367,047,826,619,205,386,925,801,256,089,753,312,071,421,268,135,461,222,029,
088,535,995,097,479,642,972,442,153,021,713,770,314,926,443,257,659,569,592,
129,591,917,731,053,424,828,589,288,935,998,968,591,239,036,452,767,174,424,
296,600,634,551,473,389,553,319,447,149,675,517,579,119,652,803,077,015,423,
945,853,083,317,356,878,400,876,993,436,176,724,197,057,454,402,100,052,632,
409,495,973,077,419,080,278,602,255,401,173,988,640,417,352,685,843,648,277,
895,007,166,950,608,884,181,057,424,900,763,468,190,840,564,938,054,340,721,
070,523,000,938,268,918,357,922,672,596,934,389,011,886,128,245,858,830,550,
387,951,738,823,833,228,846,259,753,761,642,022,666,244,401,905,104,669,276,
317,248,304,016,478,258,012,051,184,031,933,832,947,150,677,839,096,800,456,
290,044,117,767,928,829,977,154,309,527,628,405,994,327,749,788,202,307,738,
831,533,902,606,282,579,085,830,910,587,890,810,636,579,943,849,481,098,792,
345,670,903,909,334,619,099,481,337,901,072,126,433,165,616,174,655,332,497,
260,799,818,455,709,916,003,152,557,122,630,328,569,563,132,913,944,800,152,
926,617,684,568,185,943,124,009,137,309,532,774,546,400,250,466,857,473,824,
089,670,264,022,596,823,444,990,552,646,535,697,098,129,592,894,745,565,298,
899,098,143,931,593,735,877,302,159,484,728,570,140,663,089,062,964,136,158,
541,563,077,315,263,519,296,368,648,874,105,901,333,440,925,908,725,829,289,
678,988,696,050,259,440,987,241,488,118,698,045,516,448,012,511,907,962,688,
671,902,682,585,606,120,975,991,705,036,516,335,735,866,058,371,988,600,178,
531,571,809,085,270,307,337,216,380,216,962,489,092,241,041,514,362,468,668,
212,452,414,251,152,498,685,707,397,227,891,795,841,600,980,570,876,345,108,
028,543,711,362,625,750,509,306,659,110,530,737,394,586,389,774,782,951,904,
378,885,686,379,917,563,217,714,696,827,470,525,456,039,298,277,679,187,637,
446,368,428,413,848,066,614,260,048,973,352,364,495,630,641,281,642,076,509,
635,057,545,647,410,243,730,681,170,451,057,244,515,398,307,073,639,938,184,
736,476,955,613,131,784,373,516,126,776,654,726,194,380,925,243,863,183,163,
944,155,589,320,368,661,907,235,881,857,334,698,096,511,430,204,220,269,582,
275,564,281,994,847,961,303,561,018,127,683,312,962,344,357,628,602,240,290,
630,050,074,775,020,514,037,085,852,764,747,474,396,624,228,759,214,077,427,
713,021,223,656,292,346,243,402,308,525,533,014,796,243,726,598,683,604,428,
534,118,957,087,612,676,641,768,287,418,735,808,704,214,427,077,249,262,422,
420,858,907,697,582,130,134,964,497,127,563,822,392,092,244,394,234,057,429,
535,111,131,871,936,090,071,551,436,859,677,968,485,002,702,724,559,173,919,
742,104,910,885,876,917,414,126,659,558,920,141,734,372,806,507,881,745,487,
149,122,429,058,714,295,963,180,169,980,852,892,282,147,616,374,301,873,263,
678,163,059,820,890,530,370,734,131,623,632,888,021,118,318,068,983,904,411,
759,039,235,727,044,219,091,813,296,848,458,687,145,225,862,574,229,043,856,
031,989,670,169,667,295,386,383,231,951,344,821,267,681,964,488,812,692,385,
150,072,222,129,198,647,225,601,736,697,230,454,081,113,212,915,294,640,267,
085,328,474,215,822,744,403,840,046,440,513,991,900,707,121,185,491,554,546,
506,731,918,147,422,319,013,028,418,678,856,064,036,982,111,978,666,505,426,
038,451,834,093,110,964,960,131,017,326,005,004,497,034,176,248,526,457,503,
819,435,608,125,702,375,263,534,504,587,179,543,796,215,372,708,855,387,831,
032,366,548,262,189,448,150,500,977,703,177,835,325,991,312,585,059,877,209,
347,075,097,801,458,740,574,600,022,559,243,431,044,817,904,178,855,822,203,
343,553,443,572,104,085,183,562,259,629,845,708,660,365,735,569,603,886,548,
634,589,502,786,830,148,944,539,348,493,878,371,917,392,148,766,804,569,757,
132,134,103,764,011,047,492,081,928,901,055,774,410,785,432,827,077,048,702,
643,128,632,221,008,701,011,898,460,653,146,674,646,938,949,210,282,531,897,
473,677,895,372,195,752,624,939,985,345,600,902,815,888,058,142,919,893,060,
417,232,366,524,106,291,293,726,795,290,143,262,502,955,673,421,442,600,947,
415,545,885,872,113,084,849,314,554,851,984,864,415,576,604,195,749,999,256,
005,635,173,275,550,455,455,201,565,342,564,618,876,869,966,299,506,694,852,
549,015,228,838,987,781,242,789,103,773,129,252,074,428,116,281,119,947,558,
200,446,284,650,146,518,414,880,413,076,840,838,845,785,379,005,669,166,444,
917,423,636,027,879,783,957,604,335,246,563,487,316,897,963,245,535,524,811,
207,439,802,404,679,106,782,385,826,254,741,153,076,100,197,670,201,734,307,
103,043,762,578,166,423,804,619,469,712,872,021,701,086,597,761,795,971,882,
619,929,822,803,378,836,147,534,975,078,316,764,610,400,916,367,965,533,377,
484,882,822,009,590,070,060,905,127,455,614,234,349,438,660,262,862,554,912,
178,584,397,797,483,581,333,765,141,123,141,145,059,987,227,804,572,717,222,
067,861,721,187,913,537,011,682,789,422,245,365,180,885,708,107,141,389,513,
048,757,522,790,981,109,432,274,135,518,043,536,591,862,399,049,532,567,979,
804,160,328,452,507,401,229,698,027,654,796,363,833,119,231,170,485,869,180,
884,869,936,890,099,393,914,463,597,337,796,484,243,133,964,491,057,746,370,
438,368,513,149,233,088,024,353,785,027,474,293,782,851,758,761,840,263,250,
084,952,687,908,339,824,502,784,499,950,316,960,295,011,518,023,771,087,323,
392,808,396,320,671,362,167,128,535,639,579,555,955,550,483,819,909,442,989,
577,829,398,677,948,788,496,363,557,421,807,458,183,878,088,677,107,058,625,
986,301,900,572,757,040,318,049,966,028,487,028,099,696,221,248,045,737,078,
741,455,033,252,671,101,055,959,685,033,169,824,705,764,654,499,450,797,214,
289,860,340,190,020,151,460,825,889,310,147,940,273,880,220,558,347,400,951,
426,269,030,717,443,078,467,628,617,644,527,166,420,491,802,828,055,750,946,
801,828,690,015,088,917,595,383,385,339,831,306,864,182,740,421,975,145,737,
555,201,849,175,964,339,757,568,732,802,353,359,729,100,548,483,186,547,942,
292,575,066,533,984,167,169,062,693,615,114,153,857,978,748,046,752,578,937,
848,524,367,051,605,318,867,821,131,235,207,650,246,665,860,588,879,459,554,
704,901,451,341,033,380,885,612,518,811,786,040,146,000,676,289,708,924,971,
856,389,256,173,329,490,670,759,872,153,950,379,847,635,843,514,531,304,535,
594,915,813,755,370,931,085,496,801,663,424,533,334,382,623,072,110,702,037,
511,002,890,782,667,621,949,771,569,932,240,666,547,456,247,309,338,568,967,
626,530,886,904,938,133,273,793,415,650,595,635,519,613,843,808,578,301,047,
624,594,079,575,253,096,341,890,375,166,163,121,719,168,284,510,586,120,654,
931,298,766,999,745,255,918,360,056,546,211,913,074,621,044,374,059,673,109,
824,800,864,453,777,177,266,434,082,422,728,093,233,461,348,447,522,213,516,
989,094,101,933,850,974,675,640,429,098,251,005,797,083,009,441,486,360,918,
833,089,571,566,976,891,877,282,500,319,667,415,286,892,525,766,074,704,676,
955,667,431,072,863,874,530,060,043,540,267,721,829,122,853,145,824,683,651,
939,267,083,249,626,462,431,433,260,000,791,254,314,549,821,759,895,844,450,
161,871,503,110,231,879,195,084,581,308,847,872,752,846,388,156,897,369,417,
344,028,127,749,916,813,276,796,053,406,178,086,988,716,339,876,038,192,112,
035,244,720,590,317,768,862,568,443,810,447,685,907,388,911,325,077,842,621,
878,742,267,156,472,624,656,395,534,050,893,348,357,161,839,819,403,566,570,
367,428,440,522,944,950,701,428,855,857,162,889,863,662,615,910,020,683,959,
576,700,274,976,150,215,125,405,414,686,301,521,858,493,631,409,725,665,584,
206,033,005,436,998,865,780,530,626,394,933,679,987,789,253,387,631,365,382,
939,024,412,623,593,810,084,131,424,489,486,975,092,746,316,730,044,133,173,
077,441,541,125,401,134,856,905,816,343,971,881,619,015,509,591,702,334,982,
815,355,323,264,572,261,783,277,077,597,971,027,821,372,317,740,707,326,082,
400,078,004,908,754,844,106,808,319,438,491,692,854,298,324,665,127,437,935,
524,887,809,635,799,932,841,782,244,922,252,242,671,501,813,826,932,728,104,
514,392,205,383,887,519,471,213,990,603,931,670,292,515,863,368,908,952,981,
708,210,970,289,447,377,907,397,204,373,560,070,309,756,187,590,044,695,693,
989,171,750,971,656,951,615,337,973,665,439,451,090,845,728,965,970,236,724,
760,097,054,253,558,405,489,992,657,380,847,660,336,957,622,914,940,163,329,
145,045,504,953,932,560,489,751,141,657,623,587,905,017,707,961,721,855,974,
152,834,545,298,737,627,109,949,076,950,409,845,702,690,051,472,772,508,618,
887,097,154,445,274,529,355,692,814,353,440,536,238,768,353,720,222,157,259,
699,132,387,580,769,896,590,908,610,456,079,243,120,278,624,171,988,463,252,
668,195,487,832,474,642,783,397,519,604,885,960,311,530,108,372,017,227,680,
753,307,993,394,552,285,524,739,452,772,903,898,835,532,098,623,661,403,095,
923,514,111,499,293,528,969,694,313,742,992,791,947,969,971,850,718,107,013,
821,239,980,063,076,667,555,021,642,111,621,383,723,793,487,036,292,994,517,
068,278,099,299,660,620,509,984,785,615,623,898,645,953,784,635,933,145,010,
127,087,152,824,397,899,325,790,823,865,859,339,173,711,934,261,494,021,221,
821,326,242,990,462,449,758,653,260,753,212,824,044,288,753,327,373,817,678,
877,342,007,782,514,432,548,018,330,343,936,988,938,734,963,224,178,042,078,
741,551,007,996,575,270,121,703,657,464,946,357,786,884,427,702,829,277,664,
348,322,115,128,745,713,957,441,465,069,945,967,332,257,948,668,332,825,717,
956,767,616,104,729,277,275,367,992,240,170,492,282,969,919,780,921,576,552,
589,061,514,847,756,819,174,232,624,824,100,800,219,836,311,894,710,742,026,
897,308,295,607,855,581,933,072,611,547,608,464,047,592,361,390,480,737,370,
481,987,715,215,097,278,575,463,179,401,734,240,088,880,915,134,620,946,958,
409,255,666,805,118,689,647,613,409,724,481,461,290,767,633,912,089,640,165,
314,169,443,087,828,689,654,384,946,961,609,082,958,876,478,163,433,490,952,
620,264,278,872,784,416,530,949,706,521,352,216,310,127,409,378,573,281,996,
183,204,341,937,441,025,249,132,493,835,710,076,702,973,568,851,172,847,623,
836,532,977,601,319,059,540,457,376,348,852,937,187,009,113,235,805,697,123,
115,294,456,842,416,827,794,773,178,151,662,881,293,724,567,628,429,900,644,
135,025,524,942,706,891,208,075,965,559,183,664,502,877,442,852,272,954,461,
168,390,259,327,994,237,014,124,927,207,168,393,964,823,931,972,686,458,343,
670,333,904,136,060,711,169,015,142,666,674,111,844,214,764,433,504,492,004,
580,272,688,244,014,140,036,861,830,319,677,910,587,757,474,482,267,032,614,
668,544,779,026,717,791,506,870,924,656,790,987,793,675,763,244,382,408,413,
624,191,963,516,785,842,443,706,341,875,319,344,227,344,845,827,067,891,200,
030,131,744,424,253,310,599,599,556,044,353,828,702,017,672,291,583,458,086,
121,699,676,515,156,510,815,633,070,758,761,170,371,508,490,826,165,808,924,
485,265,912,046,134,052,451,005,472,525,557,858,111,355,673,308,323,464,330,
595,826,954,489,702,265,623,615,348,837,963,737,894,882,743,646,306,138,076,
258,625,876,862,313,144,731,313,862,690,078,177,007,572,101,430,431,247,299,
944,185,731,327,907,777,249,302,133,211,918,935,585,270,252,446,628,981,270,
243,661,698,756,915,400,074,339,483,079,030,315,645,910,853,462,255,534,063,
282,948,034,148,895,642,038,721,254,991,527,740,089,811,032,682,956,520,704,
661,510,954,684,207,238,286,051,564,179,306,311,510,860,500,709,782,063,689,
957,039,159,892,520,962,176,723,826,936,936,253,335,663,950,166,378,730,854,
385,397,284,816,577,129,492,003,435,471,664,850,168,210,328,943,686,388,917,
255,908,495,542,664,544,261,376,038,926,806,693,524,765,122,538,283,037,871,
135,637,585,978,368,781,038,829,224,946,477,939,945,567,575,583,189,409,052,
576,071,945,080,493,938,103,169,610,902,628,424,465,540,977,730,091,887,747,
398,283,083,596,419,298,298,594,147,665,547,095,391,923,206,424,022,820,800,
656,061,176,141,663,567,372,903,791,755,748,020,105,287,028,219,601,791,814,
496,488,450,651,668,759,599,614,018,831,410,074,955,643,385,770,515,512,139,
738,010,027,762,366,101,893,700,052,694,316,739,894,883,636,622,897,450,214,
083,050,869,925,498,145,337,507,727,677,434,117,756,496,211,909,205,638,233,
983,330,515,413,117,735,081,746,669,340,389,394,256,378,093,286,181,558,794,
355,819,672,382,219,488,241,054,476,794,005,177,738,849,267,893,555,974,422,
773,300,169,221,333,947,936,225,650,404,354,443,191,626,439,093,902,955,205,
412,009,161,359,499,268,485,859,057,419,458,791,601,988,055,836,037,745,363,
209,812,633,552,691,294,438,591,265,398,921,646,279,705,801,319,245,580,382,
467,273,630,855,636,746,624,866,686,853,172,130,137,182,246,113,476,586,649,
523,898,367,042,653,063,791,915,263,967,780,321,397,908,687,383,188,506,720,
387,305,906,248,606,853,102,926,593,723,823,597,039,481,023,248,463,524,104,
815,001,322,784,455,287,786,156,734,064,901,385,679,774,594,582,162,529,770,
865,257,979,352,309,110,003,525,018,423,990,205,181,524,224,738,388,368,517,
270,051,398,123,380,181,766,430,227,957,615,403,434,079,819,405,643,627,392,
214,538,271,316,968,516,224,380,667,547,043,097,837,759,821,404,036,267,762,
856,343,833,981,679,080,661,350,698,773,812,273,061,295,568,745,007,702,503,
895,900,401,468,586,241,580,195,233,700,621,814,870,174,940,589,298,313,651,
355,198,691,428,032,083,032,960,049,400,166,959,853,849,848,974,440,774,253,
994,165,114,591,093,841,322,824,621,544,526,964,059,734,241,095,630,753,151,
446,904,349,868,752,717,107,969,231,010,369,108,462,218,641,515,602,894,868,
954,653,610,206,805,551,490,691,254,461,327,318,940,819,752,109,301,494,665,
198,365,144,453,669,261,772,173,649,102,939,764,972,104,258,747,937,802,817,
162,139,408,581,921,119,436,012,087,530,636,132,192,650,950,113,062,912,156,
022,094,582,260,250,494,528,023,145,573,569,964,650,168,683,137,741,631,489,
819,098,065,590,198,649,405,619,409,500,388,681,140,503,688,724,488,813,569,
701,852,385,674,426,463,605,906,654,001,731,553,222,400,220,668,759,974,085,
430,737,246,130,106,966,467,555,855,565,408,253,244,571,075,714,756,007,390,
311,867,908,591,045,419,239,643,087,506,133,785,294,875,785,757,352,067,736,
383,148,953,427,738,580,754,519,537,735,817,747,544,001,008,053,150,699,131,
688,082,264,874,088,886,428,680,821,152,811,940,515,792,788,608,477,007,550,
869,916,315,792,657,920,509,098,531,564,156,235,504,922,805,130,024,583,063,
225,911,131,241,893,419,549,294,706,994,836,020,182,941,954,258,261,775,946,
754,114,580,911,292,695,604,692,542,864,481,442,170,400,618,727,690,706,724,
599,951,035,936,351,590,180,571,885,218,609,576,321,401,618,915,765,599,535,
600,928,467,145,893,855,109,362,681,009,233,696,873,919,401,729,859,964,845,
720,283,092,366,590,375,436,021,756,041,145,998,522,480,909,846,564,314,950,
486,221,388,395,343,678,960,405,909,384,524,160,729,438,068,310,538,841,357,
808,296,082,093,013,404,072,229,533,564,396,999,113,446,352,702,682,904,887,
256,087,124,484,731,810,721,042,418,565,393,250,591,696,420,907,144,411,281,
432,246,659,556,723,641,702,407,404,185,807,933,613,437,613,306,596,899,267,
928,095,384,648,275,965,387,407,909,669,738,138,157,902,485,942,785,672,556,
667,253,882,440,126,118,676,971,317,866,887,524,981,931,449,514,594,888,531,
054,826,754,040,526,806,293,822,961,344,266,831,292,330,492,317,053,059,940,
288,245,584,887,851,477,837,205,676,783,603,580,898,789,803,077,627,625,094,
997,848,894,719,179,768,595,862,404,854,019,131,739,404,260,153,104,995,833,
802,756,473,628,827,806,897,266,813,235,710,609,230,695,824,822,314,573,748,
070,936,040,879,224,105,673,687,287,740,501,867,972,598,147,704,714,712,564,
216,913,481,709,414,337,383,590,958,734,180,967,492,070,762,007,460,771,717,
963,459,780,113,390,416,527,651,938,784,009,481,723,721,501,973,538,012,164,
332,655,244,805,705,569,881,523,141,736,992,040,244,686,084,679,235,722,734,
002,896,638,206,292,597,866,232,741,984,989,696,237,046,098,680,670,357,898,
127,792,095,269,367,874,487,507,587,538,884,925,710,019,039,748,508,269,445,
852,545,360,718,458,140,859,637,755,171,828,559,476,233,250,005,367,148,622,
661,070,119,489,227,456,412,123,924,033,959,066,166,910,061,357,528,393,784,
280,334,066,799,125,643,322,300,035,828,493,145,643,130,344,867,708,653,595,
393,677,607,660,684,480,761,111,976,441,591,430,027,654,284,532,323,297,028,
332,893,221,534,780,359,784,999,086,741,135,877,283,655,597,242,728,149,761,
808,189,441,842,361,088,092,796,665,864,831,014,041,000,491,705,631,001,690,
672,174,285,436,414,170,931,453,805,711,579,189,994,540,679,856,764,971,229,
160,362,833,273,052,990,819,600,974,525,440,550,195,730,359,079,551,241,959,
067,122,846,532,676,343,694,596,077,375,761,575,980,960,236,387,766,429,250,
472,036,029,445,656,636,865,453,886,095,550,741,757,583,261,384,389,778,864,
499,806,918,241,883,472,730,466,673,916,198,424,007,917,164,385,930,860,482,
823,222,639,566,171,168,463,984,970,602,278,848,494,098,373,873,233,339,859,
989,159,963,294,480,132,150,820,149,733,950,110,316,298,230,140,843,553,242,
244,262,842,520,822,084,680,649,221,541,806,684,090,821,296,658,946,772,626,
935,609,879,007,469,513,273,697,438,974,850,898,789,387,827,872,744,360,966,
769,792,465,452,830,960,028,261,555,642,550,738,467,397,221,730,294,228,805,
110,797,035,738,064,345,064,450,900,221,803,612,152,009,532,947,560,611,666,
110,043,496,172,594,820,094,708,654,126,788,966,226,869,087,057,053,511,838,
407,375,048,109,593,042,928,233,937,988,596,592,396,488,900,516,671,453,405,
349,595,064,962,015,021,407,247,472,685,487,356,891,399,199,601,161,729,958,
411,805,559,874,094,973,893,868,663,958,441,512,308,319,241,613,528,731,277,
102,343,809,157,208,040,242,256,890,609,358,047,856,191,865,617,917,410,408,
763,930,653,095,872,256,687,715,899,596,615,367,715,818,876,535,850,346,191,
616,542,866,227,101,151,475,673,456,718,999,247,636,148,476,283,009,411,521,
821,820,885,379,041,094,637,064,685,455,803,748,945,698,165,080,457,196,066,
443,943,724,901,719,784,202,955,999,241,087,710,880,671,185,742,855,670,455,
275,597,003,134,820,977,057,845,528,288,954,547,710,807,518,374,311,230,059,
408,332,755,801,988,075,411,399,039,389,147,799,060,005,215,031,261,369,927,
821,185,461,356,066,127,565,086,423,739,490,450,197,211,510,139,701,132,801,
938,208,925,774,585,596,555,573,204,647,755,496,533,325,986,767,356,510,543,
687,260,550,740,323,257,164,096,824,546,747,912,916,742,304,828,833,148,910,
322,681,071,186,952,936,015,897,607,524,626,944,093,213,236,206,968,155,063,
207,296,431,644,406,708,417,641,368,598,459,496,608,061,230,226,007,586,688,
198,658,381,067,949,507,726,834,032,705,000,388,999,234,470,513,516,444,343,
697,115,881,416,141,758,360,001,203,741,946,492,560,142,401,422,998,424,727,
413,344,973,543,005,675,912,478,780,896,258,389,218,256,207,790,806,699,058,
919,976,802,411,605,280,190,924,994,569,204,278,852,145,966,876,541,328,060,
908,780,160,512,324,420,508,865,198,848,645,581,871,134,979,252,351,673,566,
872,657,015,235,410,081,267,044,600,061,872,564,492,610,211,991,448,793,675,
881,883,559,777,317,459,926,718,042,104,416,327,831,690,825,484,693,755,610,
132,790,425,203,426,143,878,928,144,600,924,779,292,036,261,974,824,563,232,
241,694,383,820,804,098,899,965,752,748,492,653,167,490,236,420,320,723,486,
387,413,120,184,319,466,891,100,701,698,871,357,578,711,710,067,942,213,652,
924,360,842,624,405,244,276,310,935,292,758,224,681,523,472,202,125,871,018,
787,667,666,946,202,038,846,158,248,769,379,119,134,727,390,338,810,042,085,
943,315,622,937,798,704,007,770,580,635,284,838,760,962,892,667,485,676,906,
008,784,281,020,005,966,590,143,185,237,960,275,798,827,733,250,956,814,262,
020,583,268,250,647,099,075,905,791,939,893,565,716,562,527,144,365,320,690,
381,504,738,127,943,781,463,222,328,667,190,119,130,547,311,495,712,683,697,
407,424,681,413,548,288,569,860,329,076,582,216,054,885,009,766,431,098,412,
877,215,374,187,184,537,860,336,574,564,758,194,168,924,813,349,052,481,447,
952,659,103,284,750,356,844,933,490,024,730,979,784,333,081,205,563,423,148,
573,998,649,572,777,254,037,315,034,430,746,092,573,641,531,597,360,060,718,
246,710,456,215,741,163,517,350,251,140,135,392,159,297,059,232,882,068,611,
259,057,805,369,349,230,624,351,574,776,545,787,524,515,439,227,014,979,571,
477,976,128,298,545,808,282,517,791,556,854,865,578,690,567,005,045,869,652,
211,343,485,534,839,119,953,923,826,918,529,338,269,947,353,240,094,680,905,
156,159,989,174,588,723,221,331,123,522,058,525,686,789,055,324,554,945,680,
209,306,127,095,129,612,787,252,861,843,483,925,534,441,769,424,135,164,974,
338,088,423,431,952,960,427,997,751,580,787,608,148,687,230,253,948,519,747,
734,808,157,798,769,227,410,640,495,374,166,513,464,937,230,288,953,932,812,
825,105,494,397,875,544,117,467,564,632,761,120,742,162,721,179,569,761,669,
247,332,753,194,755,535,074,600,588,432,584,709,666,163,733,925,100,731,087,
957,185,990,626,370,765,808,452,163,213,859,659,124,957,946,805,315,115,762,
669,589,442,733,904,896,130,290,632,387,840,419,676,246,183,881,864,538,488,
767,583,806,177,347,660,103,950,620,766,728,154,596,806,270,654,455,555,280,
990,394,012,133,015,423,135,161,053,451,481,762,713,713,076,764,818,654,249,
572,290,087,976,311,056,123,001,600,454,089,541,622,634,872,584,207,629,509,
108,989,713,120,092,523,776,179,498,230,903,976,587,396,473,942,272,311,251,
404,608,194,129,174,271,100,208,744,738,314,677,997,719,965,294,422,274,633,
144,186,723,485,785,659,357,391,574,387,171,415,566,539,376,938,256,350,446,
366,853,969,168,626,280,423,498,354,926,289,820,356,297,802,475,424,884,168,
706,433,442,465,926,056,237,069,976,540,648,539,129,384,720,953,062,956,468,
162,668,337,835,141,677,053,575,173,936,310,310,597,928,138,928,971,605,360,
335,630,391,938,402,721,885,812,360,548,661,070,791,118,719,193,743,495,874,
540,044,880,039,862,306,247,095,272,627,904,074,599,320,377,958,031,785,692,
344,491,996,072,195,970,677,236,601,664,695,493,590,266,690,561,022,144,480,
416,757,214,789,948,726,122,763,325,062,323,944,262,652,399,850,217,924,923,
051,757,525,504,921,167,271,654,015,390,704,824,599,258,179,390,606,570,522,
946,380,595,132,760,543,828,041,601,409,376,729,838,897,157,533,363,531,838,
923,929,574,238,116,410,687,017,058,205,645,567,170,905,410,116,347,008,044,
610,859,542,711,754,507,360,845,615,915,556,262,358,269,813,047,121,641,990,
532,904,217,434,766,690,937,342,007,417,138,137,129,725,824,668,779,198,532,
665,881,503,232,934,491,131,625,805,092,133,696,343,093,922,784,498,708,289,
399,031,759,895,952,866,621,500,207,711,831,852,392,664,541,359,757,706,612,
917,775,587,115,023,400,004,699,146,333,844,387,095,377,061,869,480,866,436,
532,615,647,975,191,549,850,434,471,518,685,010,191,333,894,003,284,562,314,
431,782,537,318,499,376,696,609,079,613,283,506,446,695,567,346,395,100,938,
358,030,338,845,851,709,035,659,657,762,947,230,656,448,143,307,126,630,289,
918,896,057,972,280,510,455,548,624,672,665,964,131,515,197,584,229,688,834,
358,585,325,256,241,639,210,121,578,593,261,661,346,754,680,935,503,131,936,
183,319,616,543,023,916,607,009,628,143,523,228,460,180,663,185,297,062,859,
550,740,465,158,788,362,332,196,433,138,424,154,309,518,876,460,870,010,974,
575,769,880,704,851,590,522,651,775,231,889,835,060,935,774,356,298,192,752,
930,670,403,664,131,277,804,291,603,334,770,776,652,446,315,461,825,584,122,
109,489,386,149,532,666,998,576,136,868,944,772,940,893,541,508,787,728,437,
588,101,715,778,761,263,463,224,900,967,602,781,703,298,526,887,730,257,144,
905,584,685,823,540,230,849,051,574,243,587,257,476,253,321,859,690,466,575,
830,653,535,193,015,792,289,516,993,266,932,619,587,997,297,617,884,378,855,
868,705,720,503,139,325,382,823,350,926,450,174,421,020,302,901,992,737,055,
035,972,895,237,722,349,128,500,997,748,439,321,668,230,855,029,667,151,690,
834,248,428,530,966,714,581,286,273,662,207,213,519,166,713,639,477,749,413,
626,331,043,227,853,229,267,226,703,648,084,509,081,707,408,232,581,968,926,
350,395,322,976,746,753,737,124,045,140,251,906,877,053,781,190,828,943,018,
281,419,006,387,068,828,672,988,614,357,571,102,052,557,874,480,709,252,748,
344,757,311,472,697,090,316,665,539,668,693,766,421,077,599,141,932,008,849,
984,164,264,453,035,820,815,992,645,651,023,021,550,701,555,961,241,159,995,
059,037,545,236,781,881,032,419,443,840,023,081,260,270,756,898,251,252,527,
702,871,937,476,834,814,055,919,463,112,633,812,756,807,115,296,387,560,936,
782,904,700,516,466,418,932,166,930,030,526,291,653,752,748,006,117,243,007,
577,969,426,719,989,549,208,454,553,900,581,638,481,115,872,515,608,118,946,
152,441,430,740,651,581,542,197,023,938,649,253,306,203,522,909,625,395,485,
733,318,951,797,742,969,755,340,624,475,606,157,980,583,787,547,483,252,561,
679,858,183,047,700,396,033,007,437,291,237,424,425,686,005,654,201,982,560,
829,525,334,251,079,148,208,247,726,574,577,386,024,129,080,058,072,192,660,
783,056,956,979,191,006,589,825,640,932,709,595,058,542,136,088,463,982,584,
266,516,415,998,428,595,335,587,816,668,087,859,452,186,882,423,017,723,464,
097,738,390,108,832,668,286,962,723,447,817,482,163,149,936,030,910,927,856,
974,388,124,177,326,378,455,480,122,840,452,633,970,946,474,458,488,205,979,
698,978,947,704,478,509,302,014,276,693,978,888,943,621,155,076,740,557,892,
958,018,576,923,414,438,216,374,073,889,050,620,220,519,843,474,856,480,732,
819,854,093,859,822,032,850,239,908,519,650,519,782,062,492,220,895,412,153,
857,744,746,338,354,323,774,635,647,911,241,032,528,358,212,530,052,640,591,
920,210,138,289,426,868,613,968,638,184,644,306,886,711,776,151,238,984,331,
009,203,169,380,811,855,353,598,596,191,462,728,717,293,912,460,397,998,916,
626,830,854,001,292,012,011,016,684,484,963,195,358,820,480,610,222,085,939,
843,570,651,263,569,966,175,876,834,854,840,216,825,465,020,562,874,930,793,
385,392,450,270,340,217,713,803,086,240,142,113,101,560,565,770,422,304,395,
560,520,721,609,018,081,216,589,270,725,171,006,922,024,026,947,843,873,925,
610,575,016,722,669,856,687,106,871,318,687,852,853,160,078,498,045,700,429,
772,379,674,612,615,788,981,548,584,654,277,996,914,901,717,226,607,693,791,
434,679,089,619,770,270,882,071,343,658,258,716,678,608,802,891,673,103,502,
531,876,791,642,444,303,049,406,834,371,655,239,625,598,416,316,542,124,468,
287,566,129,471,958,497,209,402,236,335,618,164,431,103,618,240,270,388,318,
970,103,983,123,317,396,183,288,029,026,616,501,749,317,976,478,428,503,619,
200,050,332,162,709,247,035,043,787,170,082,383,234,374,285,506,559,848,999,
035,123,652,014,371,976,668,282,300,875,234,903,730,671,555,554,795,862,835,
878,058,593,381,422,545,985,843,273,993,721,671,976,456,985,263,812,200,122,
441,979,242,699,011,438,919,806,521,542,483,690,518,901,618,686,500,266,652,
747,865,485,134,770,308,884,479,465,696,131,112,271,970,006,958,355,192,942,
875,624,061,134,778,251,415,478,882,044,623,200,851,925,605,245,496,040,492,
999,181,887,946,253,410,176,041,462,818,630,937,887,578,890,755,415,579,605,
077,697,540,951,675,472,675,001,115,494,458,080,839,522,657,726,986,581,815,
980,877,776,071,547,455,087,149,629,182,114,074,698,710,549,565,230,286,251,
971,097,746,395,038,435,774,700,258,825,018,220,319,498,130,039,149,013,008,
600,952,194,095,618,001,318,152,482,528,698,526,491,472,709,857,782,629,154,
942,221,563,554,558,550,771,337,947,179,907,802,138,383,922,971,027,402,501,
034,742,214,522,661,322,874,208,068,895,723,334,594,507,803,913,903,435,172,
406,602,312,727,220,393,991,660,176,978,945,023,850,311,898,564,430,210,492,
631,105,644,597,347,958,241,422,346,514,893,463,063,071,977,601,495,702,298,
288,232,077,576,392,018,790,049,894,782,638,045,750,837,921,176,473,969,316,
350,498,711,074,770,775,904,997,022,983,351,606,405,128,344,771,351,931,809,
370,349,776,303,073,758,717,625,623,795,371,405,434,470,406,125,477,649,028,
849,415,101,937,425,216,643,122,816,476,038,089,809,038,855,150,577,038,767,
317,676,702,341,435,393,323,995,241,260,242,159,437,738,279,614,163,839,677,
894,643,531,227,933,784,130,549,673,717,054,403,735,724,674,636,621,846,502,
597,087,912,040,258,428,938,188,273,898,844,806,866,524,108,978,430,163,182,
293,725,110,773,343,087,657,667,222,989,588,526,261,087,742,919,986,100,811,
222,039,188,323,941,089,493,405,299,410,611,807,513,442,509,536,835,517,875,
902,040,752,992,528,788,326,608,277,484,176,680,705,824,607,224,468,992,189,
181,405,571,122,487,549,367,218,462,135,956,100,813,496,837,966,023,496,787,
054,236,337,883,430,494,094,187,525,210,656,943,596,659,282,589,590,143,392,
801,642,420,658,348,529,366,303,524,770,495,779,440,907,521,828,656,750,992,
374,619,202,414,614,799,285,295,667,992,923,695,236,320,838,290,052,807,906,
693,350,755,488,537,271,138,995,269,975,069,478,950,540,013,511,826,815,715,
164,446,808,586,052,044,930,408,021,915,036,983,458,310,052,880,618,902,992,
320,320,668,444,325,984,454,223,003,412,953,303,295,768,396,497,559,434,600,
102,034,562,763,832,005,203,119,210,872,009,219,051,575,321,910,636,495,807,
032,280,693,923,615,551,888,800,697,869,601,049,897,965,913,585,180,553,155,
769,914,590,157,609,661,964,794,091,772,953,322,891,805,511,979,328,779,414,
047,505,016,491,868,864,085,648,024,883,454,590,149,681,153,330,485,985,673,
445,249,542,924,743,714,665,146,446,930,575,530,053,738,801,764,115,747,818,
366,125,938,163,719,127,472,890,049,817,099,583,165,367,332,515,322,791,060,
787,931,697,569,104,645,807,017,178,330,430,621,117,989,602,494,336,815,477,
080,882,162,618,926,816,220,579,629,996,406,006,738,368,060,388,475,725,020,
513,707,373,195,539,844,395,731,549,525,191,881,465,961,912,914,924,002,789,
234,461,328,773,372,808,657,301,320,552,005,983,806,134,487,157,569,184,086,
825,815,031,253,715,766,575,559,231,873,254,149,499,961,869,890,414,245,383,
517,305,021,012,720,742,187,241,186,120,151,318,534,193,265,563,909,322,960,
741,586,044,558,313,445,014,419,256,113,466,994,863,825,164,011,867,904,526,
850,105,614,447,468,688,798,108,160,717,283,767,173,224,070,804,152,902,251,
816,244,069,384,406,180,707,117,439,309,615,108,491,744,201,002,359,581,252,
420,423,863,750,959,900,041,438,599,945,106,284,870,513,421,129,521,978,795,
015,104,679,334,042,791,679,004,184,103,357,279,397,099,882,643,196,078,322,
479,459,069,795,579,249,526,876,643,892,089,765,076,625,770,493,135,217,241,
416,560,910,579,632,218,687,902,551,058,030,930,494,581,407,096,643,265,614,
786,498,925,024,758,890,679,279,826,420,251,490,619,363,885,583,130,428,266,
228,991,163,214,031,513,244,142,987,947,201,274,309,142,085,489,454,186,661,
962,682,262,176,507,276,402,855,307,494,180,280,882,728,955,522,277,717,119,
336,695,499,997,992,732,922,894,975,948,106,852,218,416,101,526,255,863,331,
805,665,237,918,930,597,260,765,713,705,972,820,917,692,489,329,810,813,418,
949,112,945,733,556,068,142,596,669,189,190,526,498,796,620,212,077,632,868,
937,873,209,719,412,403,030,881,021,056,834,585,709,373,973,422,710,489,210,
183,715,844,715,546,000,944,290,723,645,562,358,555,282,063,278,608,285,411,
525,644,068,173,988,637,516,921,488,142,731,652,344,575,546,972,449,192,959,
703,781,494,485,250,996,481,377,729,491,334,085,894,248,977,647,794,391,087,
565,427,563,713,882,421,982,649,773,576,721,470,847,717,900,928,746,010,560,
267,284,582,425,582,862,257,841,086,784,458,138,373,952,586,926,433,892,125,
608,556,558,836,562,725,231,650,058,225,830,711,035,951,264,792,949,436,395,
460,895,763,148,941,854,802,224,208,157,253,185,894,324,506,664,314,977,603,
919,434,331,783,008,713,387,133,346,510,443,687,900,436,761,868,273,070,465,
721,460,246,062,251,242,043,971,521,391,943,046,146,130,373,077,190,347,192,
334,980,492,209,887,910,203,031,062,021,773,412,914,392,727,807,490,187,768,
508,267,613,860,883,107,646,113,885,990,435,668,177,002,038,022,284,664,139,
888,215,843,766,538,825,515,068,567,152,149,154,935,475,605,861,903,252,291,
936,420,121,994,816,715,498,129,977,854,820,065,678,988,746,167,549,910,230,
581,955,501,364,955,637,189,905,410,863,555,480,003,925,844,792,162,364,860,
485,169,920,826,648,229,542,132,180,456,260,392,563,969,374,149,239,028,661,
802,062,330,517,853,075,066,963,589,663,268,604,897,798,912,424,587,992,446,
297,601,125,616,995,347,546,672,806,442,299,211,317,938,205,701,915,565,290,
426,166,535,625,316,176,247,091,843,097,971,388,749,492,826,109,703,808,709,
526,295,585,666,063,608,805,835,964,607,473,684,539,748,391,388,288,341,980,
173,915,068,275,138,081,434,013,086,705,349,298,983,099,551,532,957,207,598,
358,078,350,398,203,485,785,448,424,402,495,920,483,927,837,689,077,926,528,
280,911,195,674,558,108,373,062,237,189,147,456,651,096,023,504,531,347,653,
258,172,112,261,993,056,000,948,185,670,599,195,545,516,241,910,813,675,849,
369,286,358,242,937,624,269,926,044,240,042,807,372,751,297,583,838,385,413,
597,924,780,929,319,358,626,002,250,066,602,725,279,917,615,875,673,004,748,
394,872,754,764,324,579,285,750,605,328,724,604,011,772,276,811,707,574,646,
599,685,390,091,256,199,676,859,929,441,407,152,652,205,354,119,854,011,125,
943,035,706,826,962,654,078,553,090,526,570,465,333,632,545,460,240,778,110,
106,689,986,725,832,666,720,865,388,075,422,102,208,118,777,785,273,023,127,
154,605,028,585,068,569,297,189,824,369,211,787,930,288,312,745,570,504,131,
860,229,148,322,082,372,067,879,346,711,940,446,791,399,976,153,940,723,762,
605,269,361,409,810,896,052,107,007,781,896,536,058,160,589,833,767,462,184,
115,362,607,291,137,274,991,536,171,639,157,816,565,832,944,515,883,535,236,
877,128,386,201,519,500,503,543,420,608,516,868,414,170,861,187,239,423,455,
538,880,023,556,150,261,554,928,774,630,936,419,352,495,569,629,972,406,491,
953,298,705,003,570,090,063,983,870,778,273,704,502,715,636,527,210,095,834,
235,441,722,982,201,385,502,609,683,006,600,352,643,309,147,244,527,098,589,
555,480,241,332,454,864,398,800,345,282,317,727,912,059,446,759,817,878,382,
869,901,966,253,969,425,148,490,921,857,915,936,291,370,285,187,813,912,930,
887,043,473,432,720,801,327,837,328,746,563,846,371,150,107,501,126,519,858,
906,244,617,566,903,923,741,105,585,239,057,522,513,023,884,781,090,936,689,
281,565,042,895,858,547,490,779,038,973,620,594,129,733,676,350,301,169,991,
363,364,936,763,896,872,512,233,270,480,568,366,156,361,914,910,703,352,227,
073,136,549,115,287,431,981,345,958,195,617,578,796,113,898,569,314,055,883,
334,144,801,054,467,924,819,504,166,631,187,295,193,377,433,821,954,173,375,
428,213,761,390,533,719,020,415,053,197,603,227,915,673,784,023,707,756,018,
093,324,840,493,006,902,020,045,264,601,376,741,026,076,099,780,318,281,413,
753,383,124,415,477,351,669,119,807,874,491,202,030,530,896,840,395,263,569,
559,653,984,246,439,167,293,401,123,789,788,556,601,724,899,355,766,358,872,
313,947,266,978,303,680,875,627,799,824,074,754,393,271,531,421,601,369,016,
784,672,531,348,374,149,644,136,499,958,452,640,594,089,632,404,019,692,620,
697,752,780,923,754,246,277,612,959,279,378,795,081,762,671,474,372,645,801,
102,858,724,265,027,979,926,812,892,296,654,081,467,122,052,827,818,741,953,
597,439,738,102,622,244,959,822,682,473,716,245,858,891,893,599,599,947,948,
627,275,775,507,345,884,035,307,338,940,377,616,039,884,441,828,856,203,256,
004,997,823,589,737,406,659,297,999,731,851,300,035,535,467,225,929,853,607,
925,721,635,596,711,571,320,165,022,468,509,632,894,019,858,443,716,611,017,
771,851,297,548,084,189,948,851,227,365,532,688,615,892,184,599,222,558,899,
411,032,157,152,783,097,860,127,428,605,012,599,919,661,868,674,087,371,525,
749,281,531,852,054,235,498,760,353,499,581,264,689,703,837,951,864,133,119,
765,169,677,247,870,069,936,108,740,761,291,130,367,678,498,344,334,758,018,
242,399,128,382,955,523,228,953,150,266,957,804,253,625,750,843,055,117,047,
826,754,699,016,500,983,406,472,356,999,978,164,328,456,876,319,697,220,878,
649,024,557,768,542,397,167,443,181,319,480,057,977,606,483,243,877,242,405,
925,561,117,998,111,638,313,165,161,220,035,004,675,912,071,166,118,117,431,
940,166,895,423,977,498,769,582,629,612,231,596,349,568,869,741,077,684,392,
462,436,288,607,380,423,668,190,789,516,074,146,977,318,239,901,180,401,504,
025,162,415,233,316,190,104,860,956,437,209,701,329,326,431,340,429,523,910,
566,295,256,204,690,292,675,424,161,613,136,800,485,280,609,977,260,162,815,
975,045,174,957,024,240,854,752,662,138,764,883,978,855,681,485,524,637,461,
925,278,911,871,691,656,003,740,739,716,285,005,176,588,964,095,704,530,459,
709,385,946,030,860,082,100,483,049,764,067,402,194,855,175,402,728,295,899,
116,088,232,374,678,677,427,088,507,988,147,355,218,847,769,327,528,445,841,
122,648,286,754,577,516,705,094,328,789,802,684,367,224,975,253,400,250,036,
964,562,890,613,869,856,063,851,286,161,987,670,750,325,356,106,807,934,434,
720,405,800,089,265,105,547,560,459,096,776,719,042,357,066,259,343,264,701,
620,128,779,834,778,840,075,361,799,088,483,549,341,570,121,245,799,355,133,
666,916,665,239,991,794,401,569,522,731,633,068,101,222,483,175,312,400,555,
970,262,363,266,394,246,468,701,594,737,602,361,123,312,628,206,519,811,401,
428,031,111,660,172,986,631,276,566,038,611,601,448,631,946,068,985,978,787,
879,002,113,721,700,912,544,969,555,422,791,843,109,134,762,617,901,117,528,
341,054,647,367,183,269,822,573,368,946,026,661,047,017,832,320,910,218,637,
648,161,049,273,671,511,324,296,194,669,937,261,222,930,716,393,332,339,686,
730,745,945,566,720,313,840,256,040,206,484,358,666,674,428,072,623,631,217,
116,796,360,373,978,272,435,183,126,164,087,957,936,599,690,873,424,612,856,
064,169,528,928,616,027,311,208,849,617,991,223,933,918,045,696,405,626,995,
871,297,530,657,941,018,058,077,744,207,587,946,457,251,474,710,945,996,794,
409,850,072,731,505,312,981,032,452,022,720,677,503,095,271,523,100,804,037,
594,257,307,957,012,718,569,271,739,779,659,990,395,098,112,066,352,592,133,
300,904,835,910,397,877,658,095,230,087,590,181,725,028,014,977,703,007,685,
854,834,681,163,279,331,716,408,565,888,045,432,379,854,206,610,932,933,568,
841,021,970,182,802,225,905,250,382,247,004,355,835,186,330,795,902,495,915,
928,147,210,398,643,210,001,422,590,375,011,898,877,330,533,152,648,459,928,
245,757,869,811,665,430,826,989,969,113,380,197,296,840,848,104,691,451,630,
534,678,895,274,154,895,532,096,500,733,013,362,789,319,659,467,611,332,871,
329,435,121,038,890,741,845,209,729,663,573,076,983,933,660,385,245,465,279,
269,434,443,701,293,904,386,114,063,604,710,963,094,246,404,869,415,012,431,
015,065,070,216,190,344,757,396,197,819,074,310,065,672,757,425,172,937,903,
124,064,166,433,599,175,058,099,488,571,272,934,911,016,719,597,574,729,213,
145,478,438,401,536,910,386,117,168,583,540,348,641,112,586,282,740,513,678,
501,901,465,721,996,170,912,484,262,414,107,891,478,448,126,967,140,467,511,
216,277,488,948,908,771,517,250,704,253,865,835,200,589,502,254,610,694,071,
470,971,061,498,374,415,158,872,865,646,294,870,853,251,207,534,698,994,193,
123,159,078,883,264,884,685,893,937,912,214,406,777,688,210,054,066,741,834,
808,542,445,459,757,652,810,758,644,620,063,854,980,565,986,907,151,193,614,
175,574,522,472,910,609,777,560,305,068,809,943,481,901,637,638,124,501,807,
867,322,868,175,899,142,216,854,520,856,549,083,634,071,933,062,935,632,484,
089,392,813,831,349,840,173,409,647,234,857,955,691,925,148,211,718,070,013,
783,858,977,415,249,169,219,125,238,420,457,845,090,883,796,114,483,763,224,
730,724,990,632,603,830,560,777,171,230,988,927,041,812,506,250,858,213,429,
128,022,653,433,338,549,868,146,836,463,223,409,847,301,757,031,629,930,428,
605,297,206,653,214,355,380,034,402,733,890,440,752,392,595,092,742,133,305,
689,060,543,104,333,650,487,668,236,006,414,393,543,427,516,662,962,754,726,
406,521,561,786,229,353,046,626,191,113,527,568,386,319,032,156,159,354,177,
243,033,022,178,273,465,703,040,845,364,037,501,453,133,689,785,377,283,539,
456,063,997,000,868,573,848,217,021,594,327,297,845,086,917,270,918,302,640,
558,960,575,330,781,096,331,882,572,243,881,388,494,189,706,650,237,105,113,
156,963,815,676,334,905,194,467,692,749,343,326,623,911,724,886,785,908,651,
986,238,215,070,630,307,727,313,203,422,890,011,866,137,378,958,390,480,828,
262,337,784,902,980,018,897,927,530,291,788,851,605,459,974,263,685,327,442,
128,419,544,475,272,096,202,951,484,847,592,847,580,276,381,046,718,677,132,
785,389,738,559,580,584,265,139,827,686,884,256,017,946,691,097,994,143,164,
423,451,856,360,829,274,749,391,988,973,853,618,731,019,930,917,611,613,802,
033,324,389,555,905,498,508,442,190,190,510,040,390,370,173,480,239,039,797,
734,045,498,029,722,980,577,287,846,813,364,076,256,031,128,111,958,217,096,
390,843,942,915,219,133,499,057,426,038,223,422,894,479,282,148,526,796,373,
788,981,206,963,380,314,737,608,576,980,758,268,416,454,341,525,282,197,506,
020,463,839,003,110,531,998,326,794,372,177,282,852,233,671,204,424,084,350,
471,640,414,755,688,562,660,245,289,187,269,226,581,430,174,255,546,718,420,
271,378,331,775,397,615,185,052,378,181,578,632,471,305,874,959,838,937,781,
050,792,659,929,540,450,989,355,842,478,612,361,824,431,767,088,716,197,450,
683,727,895,767,898,444,349,589,787,473,539,885,066,373,250,301,215,624,399,
996,649,109,015,469,600,057,437,842,266,516,667,995,601,521,581,401,618,501,
883,187,384,871,173,415,050,783,977,666,583,825,889,994,954,370,705,199,581,
950,380,351,310,815,986,974,847,544,777,296,213,788,888,867,213,113,476,549,
188,814,664,688,063,675,252,004,346,960,660,023,655,324,177,399,560,617,199,
147,025,949,604,097,590,199,543,677,767,373,412,864,010,932,787,695,876,175,
080,736,255,374,192,360,052,367,688,112,842,488,858,799,403,881,188,263,140,
703,682,653,235,579,089,534,553,354,461,026,862,925,615,539,518,776,719,652,
716,271,823,687,018,232,882,662,432,328,189,142,424,285,706,648,533,534,890,
096,415,775,730,220,456,855,574,091,119,907,874,613,829,624,338,047,957,270,
829,136,877,529,547,546,111,581,434,317,837,386,495,090,788,832,151,570,120,
249,097,585,259,054,416,043,708,538,165,038,442,564,362,526,532,956,863,120,
212,970,908,300,206,995,706,169,899,015,099,171,015,068,360,466,920,898,436,
045,135,524,484,747,342,192,610,529,854,678,265,418,626,754,525,173,954,199,
810,415,691,076,579,750,193,481,721,827,166,525,477,146,968,841,916,019,684,
350,859,307,179,432,319,641,132,246,467,177,539,442,875,579,337,810,399,222,
184,820,597,517,466,254,339,152,859,611,865,287,452,778,434,068,858,800,062,
424,101,460,929,174,466,338,851,305,587,999,912,559,560,452,253,557,802,651,
727,205,940,611,600,630,972,367,617,323,514,627,076,274,787,593,564,417,863,
864,490,378,029,139,406,526,363,720,171,331,173,373,756,432,713,433,310,789,
423,668,014,636,429,563,931,171,561,598,449,561,353,009,809,904,052,328,032,
462,892,042,027,228,628,619,514,951,029,541,330,134,403,589,176,820,179,511,
707,939,809,594,356,041,871,554,473,125,020,230,297,132,878,420,835,698,406,
208,490,398,795,319,909,562,659,381,644,189,887,672,786,197,362,664,231,882,
869,617,550,686,558,095,842,704,536,079,398,046,071,812,605,898,767,405,051,
741,788,051,061,896,866,951,338,242,359,941,098,630,891,176,608,695,926,969,
753,540,754,440,693,379,482,833,421,906,750,121,347,581,458,409,114,296,243,
714,892,118,854,325,823,036,480,269,914,316,200,173,612,468,194,517,413,044,
052,181,115,584,512,240,732,815,272,347,878,547,322,950,880,812,264,075,527,
958,854,993,135,662,890,288,553,149,879,311,671,698,104,100,263,515,008,327,
699,067,673,190,110,679,801,759,326,541,659,443,467,481,982,922,098,353,364,
788,229,986,940,189,644,462,419,095,323,697,091,657,040,257,163,442,722,761,
974,571,714,187,331,778,485,747,427,098,183,582,316,498,371,062,175,689,657,
909,704,660,288,000,306,684,450,402,148,463,395,467,730,807,486,514,490,156,
243,355,397,274,577,098,207,869,067,824,265,504,877,225,278,024,613,006,664,
288,198,922,580,498,581,216,114,434,651,621,080,511,409,145,240,619,620,203,
586,002,244,597,850,958,813,350,618,955,970,326,585,327,440,519,512,027,563,
745,485,812,129,530,899,871,359,273,391,874,164,450,639,586,447,574,737,678,
042,026,658,441,840,831,206,347,143,521,405,173,754,421,690,691,237,113,691,
366,444,085,527,552,342,263,008,445,040,399,247,947,716,582,604,048,250,285,
606,363,678,900,498,217,306,342,314,062,199,588,380,150,918,640,410,721,245,
411,236,315,057,179,286,928,627,814,192,896,226,493,972,206,901,296,221,507,
999,532,648,513,783,565,751,898,689,842,981,069,736,638,314,594,480,208,945,
125,804,535,112,028,490,107,702,822,829,469,306,589,254,256,816,260,525,060,
714,579,903,439,295,294,074,662,244,695,628,058,586,354,016,541,285,518,228,
988,547,440,503,487,110,238,428,046,511,791,381,744,131,098,224,212,737,845,
252,910,606,489,474,688,021,735,144,041,945,456,329,985,698,148,175,541,868,
397,878,907,445,697,370,913,477,466,433,968,042,301,076,393,841,584,557,236,
324,038,867,744,030,942,140,494,903,087,808,295,781,263,870,150,896,879,282,
071,342,124,994,402,337,559,991,923,776,443,198,499,399,993,277,531,839,322,
700,326,631,659,148,109,721,251,340,494,602,224,240,784,609,013,101,301,029,
116,286,363,985,432,138,941,379,317,103,667,840,306,743,994,074,322,388,941,
165,274,742,083,868,944,653,631,481,919,057,612,846,836,633,252,615,462,568,
276,321,630,852,708,752,728,516,343,890,200,947,177,501,124,291,784,904,241,
503,096,341,580,635,675,318,846,838,455,589,164,561,778,162,242,780,350,176,
869,157,896,169,379,065,807,702,616,437,956,667,931,040,073,351,131,500,799,
043,711,037,414,633,220,676,401,232,329,862,288,620,386,026,553,516,677,876,
576,544,365,656,522,829,185,974,353,226,404,129,925,458,954,528,439,592,041,
758,198,234,808,638,980,166,643,657,524,246,590,498,794,565,487,093,661,471,
949,511,962,543,154,435,535,092,467,579,027,210,157,446,229,397,750,056,529,
779,720,333,246,982,830,800,891,983,128,928,331,766,463,404,433,521,928,349,
502,449,320,368,139,369,154,625,048,251,976,714,824,738,781,747,263,238,442,
340,294,390,348,269,685,847,688,027,989,445,433,538,376,938,035,924,284,224,
452,752,278,241,205,260,351,911,477,142,392,396,682,883,052,177,874,606,216,
843,699,657,777,197,667,537,824,997,526,341,684,946,175,107,381,646,305,879,
996,385,654,452,981,652,033,619,544,882,458,494,345,126,504,994,327,481,021,
840,103,601,700,685,659,850,566,127,743,944,301,974,746,092,605,016,349,297,
625,791,956,326,711,610,060,191,819,012,194,271,788,849,971,808,360,582,543,
673,363,196,296,379,621,205,832,954,458,982,462,308,979,687,250,536,014,915,
757,939,864,169,145,597,429,127,151,708,668,089,170,806,985,258,127,916,734,
680,713,304,550,700,874,960,094,987,763,896,678,204,383,444,895,796,573,382,
525,879,076,599,556,156,312,948,324,359,827,898,881,571,480,621,806,363,296,
282,757,350,040,417,297,770,452,518,561,515,831,006,646,426,903,015,214,999,
203,871,762,514,716,142,443,409,009,723,585,243,439,780,116,047,837,856,687,
769,679,582,646,198,680,287,595,202,575,405,331,267,813,322,293,200,453,596,
241,276,535,858,372,821,421,921,649,840,184,345,564,340,342,472,527,919,836,
514,966,468,031,967,546,010,569,137,616,790,919,415,139,540,431,751,237,528,
262,470,719,019,914,967,796,594,262,741,917,161,802,020,986,273,038,731,328,
768,285,329,748,010,414,080,789,418,586,976,165,280,036,706,603,255,766,362,
170,253,971,897,957,228,220,877,559,400,993,480,813,457,836,122,307,124,738,
266,887,319,403,973,070,495,947,937,270,711,600,097,836,505,885,406,489,598,
222,537,716,756,292,818,643,721,125,720,879,257,155,040,233,011,782,551,473,
352,459,416,882,419,153,316,143,473,239,578,441,051,688,506,893,354,437,723,
753,564,713,806,954,132,557,439,598,740,970,375,250,132,907,570,135,162,387,
838,633,187,932,951,376,147,261,821,270,608,635,729,677,058,211,585,604,584,
091,948,244,530,064,247,232,678,098,176,366,026,359,765,557,785,018,641,704,
217,694,377,309,855,055,476,853,560,987,589,770,522,636,167,758,648,338,055,
842,432,422,039,207,856,653,747,361,499,808,077,981,353,817,279,150,101,709,
745,769,629,086,566,255,817,145,288,304,074,111,684,084,045,372,986,514,428,
910,177,544,379,645,697,790,303,457,124,809,880,719,698,863,185,755,431,683,
520,895,290,059,710,519,858,790,794,386,505,161,921,673,603,080,258,250,342,
002,954,824,925,424,393,398,414,840,410,597,742,582,249,825,239,462,654,522,
848,315,171,864,463,703,665,389,737,362,778,682,701,743,374,597,128,598,894,
985,364,865,459,603,853,335,741,820,064,437,754,066,506,851,003,497,975,689,
268,229,345,854,929,717,699,101,855,069,934,440,317,414,616,632,866,864,068,
457,933,660,499,950,923,313,917,336,033,559,029,922,599,404,907,444,524,403,
001,742,125,660,993,735,678,788,360,055,646,539,725,905,945,865,826,961,069,
330,969,173,641,656,785,399,297,814,153,332,710,311,770,466,248,564,423,027,
015,005,039,781,398,023,194,342,348,505,904,825,214,277,473,176,012,339,886,
968,449,465,682,261,068,376,048,718,812,651,206,992,884,494,160,231,297,339,
082,211,099,710,341,338,419,157,025,480,174,637,484,647,693,454,210,384,601,
029,811,772,089,591,687,053,428,146,906,118,423,396,912,871,668,436,739,238,
410,680,435,755,916,444,018,456,709,122,357,703,037,276,003,994,617,993,713,
572,071,724,525,820,679,170,115,218,345,777,942,327,882,405,585,136,096,707,
465,195,205,288,743,885,291,827,874,539,354,135,821,702,752,573,351,306,867,
191,117,509,857,172,864,593,513,734,982,021,688,141,221,109,737,609,475,489,
672,192,284,962,700,179,425,707,530,051,020,260,174,233,701,607,341,900,333,
515,020,937,058,211,691,751,730,633,123,652,181,572,594,531,059,619,320,191,
607,797,209,609,869,284,891,270,383,150,984,231,662,635,583,074,305,624,207,
596,673,586,838,679,477,329,728,561,824,837,956,923,504,920,460,294,789,252,
548,358,427,138,052,192,158,797,344,828,768,983,460,788,928,091,480,722,772,
216,944,471,996,204,846,888,520,353,423,209,936,594,105,552,883,013,130,181,
986,045,364,056,855,787,775,969,244,562,551,372,026,734,294,965,912,468,678,
173,916,882,484,957,046,853,424,832,973,682,088,440,800,122,995,447,088,074,
388,402,017,301,131,406,179,510,359,655,184,851,161,582,492,929,888,217,532,
506,530,420,928,874,091,929,010,326,695,371,964,593,457,690,983,947,931,578,
537,974,967,365,597,166,637,030,425,566,362,016,876,339,178,852,608,002,075,
551,218,363,440,824,375,620,084,255,119,465,512,678,850,881,683,733,295,557,
076,956,253,420,728,017,277,211,174,282,991,750,409,966,888,125,088,437,834,
347,327,806,389,493,582,914,411,971,985,931,709,078,471,295,892,599,126,712,
441,810,206,077,759,580,863,570,665,006,115,079,471,215,882,850,103,117,466,
763,251,512,459,836,286,745,744,267,936,931,616,883,176,906,029,048,748,226,
956,807,010,590,814,898,027,029,143,035,918,284,452,874,441,430,838,435,268,
570,476,592,244,574,251,895,365,251,317,375,155,443,085,924,685,834,970,954,
179,509,650,498,655,422,097,597,032,193,080,647,809,096,166,099,742,137,688,
400,902,590,392,658,670,881,257,933,202,761,917,097,849,944,980,901,616,953,
580,901,122,716,666,806,552,748,785,507,577,606,471,415,368,471,578,062,143,
474,829,252,898,422,362,871,671,135,198,055,568,444,335,142,524,000,972,488,
340,817,604,285,072,122,400,889,921,215,482,851,052,409,530,360,677,218,392,
432,850,091,210,502,643,147,666,186,841,646,476,537,831,128,796,241,564,758,
211,599,572,333,631,583,262,150,159,842,988,159,474,427,502,685,281,850,294,
112,084,079,967,625,744,584,756,876,948,594,375,567,321,262,656,892,077,722,
617,756,742,420,751,114,042,397,490,651,129,020,892,685,510,740,676,371,824,
172,003,320,397,878,847,641,960,932,814,128,145,662,047,333,380,191,275,923,
995,281,235,744,651,178,178,941,507,486,677,754,119,262,715,550,669,490,731,
221,083,943,361,532,478,578,640,122,626,933,243,336,138,623,945,537,104,324,
976,761,382,464,401,166,394,415,736,226,976,583,714,083,535,450,872,615,743,
686,204,923,848,411,079,803,922,085,465,114,957,905,288,150,133,971,631,075,
183,560,509,145,015,294,503,482,961,548,869,185,972,148,817,097,233,755,681,
875,879,017,577,075,966,327,937,761,141,220,006,794,460,301,571,287,109,589,
057,529,423,921,017,788,933,119,065,929,885,265,705,607,007,257,725,922,138,
842,793,643,936,987,952,063,838,383,287,682,119,706,805,810,011,425,227,975,
537,897,812,466,174,832,148,833,786,642,553,191,501,681,443,599,089,277,266,
439,990,477,344,212,903,165,280,582,340,390,800,265,533,090,517,715,185,028,
780,003,576,318,393,406,328,911,982,738,828,676,222,239,130,162,987,345,188,
420,151,885,565,078,761,213,004,967,234,531,690,845,320,374,129,949,301,932,
285,049,950,046,096,794,986,140,563,432,073,498,829,682,029,168,693,956,159,
706,734,168,515,400,147,821,832,238,072,027,073,569,727,424,838,308,721,167,
833,673,856,269,358,196,086,201,497,409,178,654,603,837,602,376,653,388,605,
518,009,898,290,273,686,578,568,001,503,075,469,311,850,119,550,711,037,714,
109,071,432,162,612,166,244,506,177,461,851,067,314,144,440,977,107,463,374,
167,119,681,633,544,129,165,000,469,561,990,048,813,253,187,107,961,943,347,
855,132,516,723,771,518,939,388,457,275,983,185,197,133,018,304,363,916,163,
656,643,894,593,130,852,068,850,816,459,953,368,211,381,318,105,240,214,577,
092,147,477,855,419,083,477,324,091,574,234,980,955,607,299,236,562,739,223,
550,921,783,160,283,433,241,034,866,604,469,081,981,593,112,948,041,006,804,
272,277,536,863,344,944,145,336,559,354,726,830,633,940,968,172,741,229,800,
134,046,770,892,338,174,441,059,829,220,196,314,399,805,937,538,058,535,699,
337,525,982,861,221,097,574,811,175,115,539,745,560,547,676,900,611,263,875,
382,236,634,200,352,878,689,873,187,265,712,251,196,513,009,453,282,282,311,
756,530,326,383,993,001,312,102,150,953,100,606,709,827,299,134,676,509,860,
148,165,241,463,061,774,822,886,742,785,883,851,545,486,021,269,629,093,996,
010,437,686,107,086,540,901,076,054,329,641,531,945,584,264,929,383,469,465,
360,665,768,326,560,114,872,228,771,753,059,570,875,119,120,530,198,158,568,
607,772,017,252,132,084,291,548,149,424,874,522,608,961,830,951,699,882,391,
242,121,474,030,995,259,973,885,132,649,177,139,729,081,892,910,371,981,580,
470,526,591,072,643,326,877,828,445,209,254,086,660,200,460,947,672,374,531,
943,007,395,328,204,005,894,135,805,512,733,441,091,781,042,946,415,251,453,
252,904,006,332,010,612,472,828,121,052,088,151,293,226,862,725,030,081,232,
965,869,840,173,670,719,334,504,357,134,413,840,318,704,763,542,790,066,315,
463,882,793,974,640,339,447,147,965,395,138,196,921,841,018,331,588,130,739,
572,253,016,900,569,818,040,651,157,856,003,988,351,805,440,493,512,430,785,
580,107,888,347,437,178,879,453,056,023,688,561,120,017,029,753,776,456,305,
670,501,285,576,430,821,727,711,788,627,760,785,196,710,839,215,947,438,609,
788,530,160,636,853,522,326,005,266,156,821,191,957,621,191,177,353,516,882,
958,501,461,899,152,495,405,199,655,468,814,186,775,738,634,900,163,415,548,
703,203,314,735,769,832,398,840,143,770,249,035,418,642,849,067,437,705,674,
834,759,353,799,538,966,156,104,084,965,391,713,129,291,534,932,785,284,518,
271,045,056,770,660,242,802,887,861,639,716,704,867,365,819,819,622,491,464,
499,129,942,335,306,423,317,438,804,073,574,735,677,234,778,129,367,121,486,
454,411,752,745,017,921,927,135,725,642,619,226,665,690,454,415,335,779,499,
061,836,351,121,447,289,915,762,837,073,300,438,042,074,792,002,658,109,825,
528,060,646,292,107,176,790,326,933,962,046,629,631,323,579,314,455,879,556,
754,931,507,368,749,477,556,661,170,103,046,427,329,314,923,614,889,455,918,
255,717,789,008,482,333,237,428,723,261,127,895,404,185,483,031,712,736,306,
581,417,805,300,725,121,246,749,114,134,000,987,699,625,891,761,438,970,100,
589,539,345,801,601,942,712,036,820,653,972,789,071,451,752,455,958,385,947,
024,693,942,185,071,372,727,742,785,302,781,622,785,590,866,549,677,616,065,
829,218,865,564,127,970,691,800,965,480,650,483,613,573,760,383,005,607,523,
945,921,537,077,772,212,177,887,076,819,964,610,129,919,640,623,922,350,949,
392,617,042,952,320,090,714,270,413,480,313,277,884,530,408,140,017,243,381,
967,173,102,987,064,024,745,543,464,486,894,102,572,534,957,660,316,517,020,
705,698,870,334,802,631,754,762,659,116,717,136,392,176,500,243,825,853,164,
045,033,303,269,775,961,987,074,792,614,874,045,488,904,757,060,057,895,948,
256,250,717,498,537,706,314,810,760,624,353,768,546,215,517,011,766,438,736,
173,376,000,770,972,400,238,609,010,544,150,543,289,058,182,955,727,982,064,
461,696,071,485,903,766,258,984,083,262,046,592,756,277,702,768,589,578,400,
423,729,165,277,935,846,872,922,043,097,131,885,319,768,499,453,218,441,585,
180,945,813,848,225,963,713,402,248,074,972,637,668,715,831,918,700,758,682,
887,515,940,698,833,482,491,355,539,955,106,565,694,215,423,559,515,744,651,
784,167,408,608,580,125,137,086,812,085,499,009,897,207,434,213,654,419,956,
412,144,754,888,319,241,668,358,032,774,968,512,467,761,627,261,405,829,543,
734,417,635,955,907,477,062,299,918,354,728,223,734,012,472,598,436,502,128,
293,294,226,822,275,957,035,886,172,668,446,655,093,654,724,090,056,771,936,
003,579,012,002,281,037,190,513,400,969,700,912,941,633,782,266,000,392,870,
138,547,047,426,854,394,048,643,447,521,698,691,189,386,169,666,583,192,152,
814,020,777,894,923,685,026,953,263,904,654,817,241,595,611,943,733,529,831,
410,674,377,366,122,540,892,373,621,916,831,459,040,338,273,581,722,158,896,
363,653,958,668,901,846,600,641,464,561,571,249,122,313,240,166,441,718,270,
671,982,995,087,781,525,553,313,167,227,186,071,049,813,786,902,335,756,528,
506,076,895,088,113,008,983,093,612,640,352,382,600,548,408,933,713,854,229,
774,964,004,425,802,794,262,819,706,017,704,459,774,414,857,645,311,601,876,
957,900,441,418,934,632,648,049,270,754,928,734,776,192,046,615,000,951,736,
226,437,420,780,506,462,866,181,833,772,326,737,243,959,384,174,589,876,291,
759,751,121,189,509,766,849,281,072,843,750,625,222,478,826,314,277,795,633,
565,841,045,718,794,915,122,485,517,084,398,297,094,373,871,460,299,467,581,
483,791,976,820,506,534,970,509,845,776,177,835,509,838,898,297,894,630,443,
612,629,741,556,430,100,316,828,562,863,303,467,966,837,104,014,999,875,126,
817,801,867,589,452,074,429,035,029,438,957,688,561,895,898,039,096,552,455,
097,180,567,752,893,284,387,168,412,317,880,138,949,477,146,674,335,727,384,
155,616,260,628,074,633,270,487,277,091,727,125,792,631,742,093,880,028,091,
428,475,036,984,574,479,003,988,050,401,582,921,447,446,048,630,970,326,245,
281,088,755,732,716,332,581,404,075,673,494,275,523,286,419,315,371,070,921,
761,266,747,226,877,303,168,859,930,507,660,089,287,646,864,624,955,141,108,
556,053,548,716,394,535,769,552,148,443,579,645,630,593,093,818,315,560,580,
536,570,048,503,513,337,089,109,217,093,014,104,334,983,837,478,637,329,285,
475,157,147,165,135,714,831,383,361,834,134,336,195,977,229,922,278,275,070,
863,549,314,838,768,847,402,262,559,351,504,861,247,129,319,380,902,919,090,
023,869,747,752,404,949,129,370,933,796,102,742,750,497,150,249,499,738,498,
350,091,220,178,685,245,027,585,196,008,232,317,160,983,390,226,211,653,050,
118,219,404,767,901,215,087,540,718,970,110,506,125,692,752,674,739,767,681,
004,439,882,027,352,235,482,449,976,378,084,064,014,257,356,242,117,434,310,
004,400,801,588,103,560,436,387,651,853,847,093,043,030,915,586,456,935,468,
608,479,453,754,059,826,944,730,981,065,677,627,997,185,318,629,253,309,288,
134,621,496,835,729,018,259,750,060,628,886,798,081,269,994,479,510,570,550,
965,704,716,995,739,361,970,607,810,171,855,794,562,330,594,312,972,452,860,
371,493,324,909,278,727,835,123,727,361,365,495,825,120,911,483,207,700,171,
632,674,305,708,083,980,112,335,305,523,112,994,251,704,513,301,645,093,207,
820,522,925,249,500,134,322,636,577,405,851,435,301,814,851,672,813,296,180,
275,697,836,438,980,445,357,235,102,125,063,701,043,321,148,964,232,553,133,
080,345,648,003,068,947,881,489,341,995,321,630,857,610,485,494,161,738,850,
236,765,072,854,992,628,964,668,991,811,745,408,118,772,864,688,019,864,210,
593,463,364,283,220,950,372,743,580,305,467,977,292,691,422,599,235,563,896,
322,395,326,756,350,820,563,636,680,555,882,239,065,093,430,141,497,777,972,
112,026,952,926,722,346,065,393,536,543,241,958,776,024,122,348,598,548,373,
172,253,215,097,789,756,706,862,909,548,523,900,744,000,892,717,231,007,381,
691,373,446,577,171,444,829,396,921,209,898,486,187,252,035,758,130,926,726,
967,284,020,555,916,597,356,553,821,696,357,435,057,511,151,000,369,015,754,
004,660,501,159,609,705,600,070,602,633,061,282,570,869,239,182,835,469,767,
990,745,327,342,831,984,652,445,952,678,994,538,120,640,499,053,693,102,788,
636,011,835,417,452,590,417,967,914,715,421,793,160,741,165,001,353,694,307,
452,893,808,772,365,610,752,086,943,801,632,459,070,641,358,013,151,935,254,
974,673,205,595,957,615,391,903,987,805,941,389,717,843,060,505,443,938,921,
410,450,041,047,451,383,281,867,037,050,970,131,627,160,353,736,447,836,068,
315,455,662,975,215,544,283,943,757,970,515,591,566,529,921,617,225,475,100,
959,995,221,394,519,846,555,876,528,857,012,155,448,838,878,055,243,979,655,
647,063,818,549,140,893,651,971,911,941,575,435,956,668,226,984,590,390,496,
808,843,996,239,004,560,749,721,693,910,336,600,257,382,248,483,785,387,991,
147,235,026,946,249,398,554,723,008,244,207,650,972,313,068,773,583,479,722,
401,847,275,768,454,808,512,930,515,260,432,217,280,736,488,789,023,254,116,
237,309,818,320,222,246,551,913,548,019,652,527,337,512,081,625,201,597,339,
742,719,511,620,442,181,925,411,549,423,171,843,112,698,547,450,830,328,361,
339,903,970,033,695,447,504,231,544,722,023,040,616,138,124,869,157,722,068,
796,233,921,476,098,825,471,577,061,871,655,992,301,741,732,270,803,664,251,
518,075,018,102,950,524,115,413,966,583,018,786,440,679,290,798,746,179,240,
649,877,002,923,041,666,009,403,027,763,447,121,245,766,953,084,122,993,464,
435,492,801,771,662,399,699,104,257,156,948,199,966,059,418,533,158,879,120,
288,739,895,801,034,372,275,218,395,592,884,781,691,670,803,370,216,987,001,
565,888,174,075,690,726,063,364,083,493,992,882,645,390,243,189,037,357,940,
682,998,851,391,683,667,173,833,679,429,582,152,663,091,994,865,318,192,777,
251,798,903,421,280,408,128,141,958,403,605,902,365,819,185,387,700,963,304,
233,443,746,713,979,810,473,918,871,267,645,523,281,803,906,088,365,748,623,
704,770,048,171,813,858,885,149,876,061,449,510,763,843,244,905,647,851,783,
828,307,872,000,136,255,919,437,182,928,936,895,426,923,150,588,605,744,947,
615,704,911,611,326,600,418,700,692,125,960,710,321,496,610,464,222,176,320,
164,874,329,086,630,222,346,641,518,148,018,454,961,752,609,292,337,239,964,
186,777,824,811,453,188,119,415,559,845,878,509,436,597,929,209,090,272,645,
512,614,600,890,506,348,303,553,525,310,814,500,530,824,476,510,735,018,751,
284,732,191,276,717,589,608,547,234,600,504,616,774,797,164,793,523,377,984,
890,839,011,651,453,806,160,050,431,917,876,809,461,886,468,179,436,142,252,
752,372,879,886,192,982,052,903,585,071,191,475,196,518,259,915,576,639,603,
410,998,211,480,730,316,313,582,374,460,600,549,485,587,339,904,023,431,223,
400,824,003,136,704,944,536,434,721,885,200,531,817,663,424,881,835,132,064,
719,084,961,352,007,199,611,443,408,460,274,346,107,077,168,143,034,475,174,
151,897,710,370,899,356,906,383,724,889,172,569,527,700,363,961,471,596,764,
376,732,612,513,995,354,167,536,194,756,003,303,372,231,459,595,687,227,678,
553,767,970,595,346,777,062,673,529,794,686,101,370,249,095,723,940,023,749,
042,178,783,328,563,393,108,004,778,849,271,761,418,043,117,428,567,583,811,
088,217,876,521,198,966,385,368,684,816,259,501,276,410,747,819,431,302,310,
454,594,263,001,757,411,274,135,211,382,121,426,322,858,718,577,776,463,135,
205,070,615,519,299,591,540,101,968,670,611,704,635,292,697,442,877,982,004,
270,039,997,147,519,094,261,753,403,485,943,857,659,371,704,542,103,005,317,
550,396,689,174,401,688,901,305,861,982,310,808,268,997,698,061,330,987,687,
718,342,368,858,879,745,657,627,003,712,392,414,170,694,949,439,925,799,433,
309,113,216,191,011,425,060,021,170,312,348,236,372,819,922,566,821,471,997,
286,998,344,666,671,361,168,328,300,873,486,590,398,599,563,656,160,738,345,
510,524,818,151,126,545,549,580,421,658,066,798,388,987,064,882,764,969,693,
270,787,653,632,143,080,125,347,653,294,113,246,696,075,000,132,101,972,778,
175,561,958,585,168,887,335,675,202,481,003,260,386,166,341,423,313,458,206,
907,970,732,130,860,785,796,961,850,480,296,952,134,717,461,750,571,513,849,
403,251,391,410,570,321,773,507,584,215,294,700,515,492,283,677,472,703,351,
977,940,771,139,472,072,039,085,592,525,619,440,604,328,227,826,523,745,103,
811,321,292,486,466,231,258,732,750,824,830,186,017,242,654,781,786,166,458,
037,552,392,056,259,612,352,952,161,449,488,890,674,729,697,231,418,548,055,
211,396,158,007,792,433,980,066,495,551,372,345,832,620,523,620,483,721,333,
206,386,674,403,086,593,910,740,331,077,525,346,531,772,944,658,937,505,216,
961,356,116,594,136,649,244,073,360,385,147,184,608,557,175,419,824,744,837,
721,580,727,931,297,866,712,631,680,375,438,855,530,687,789,476,155,162,184,
654,925,351,459,239,100,593,177,958,922,556,300,951,010,359,354,566,624,040,
654,513,070,393,285,147,840,008,201,441,576,331,826,467,141,085,154,684,875,
373,879,138,875,909,567,468,466,666,211,785,438,440,816,068,279,734,449,054,
752,765,750,647,824,854,946,756,036,874,394,058,892,001,067,164,742,989,578,
246,663,943,583,896,409,690,000,154,848,179,463,362,414,395,525,334,414,232,
668,568,108,289,782,474,830,012,610,419,426,110,365,615,049,497,777,551,593,
884,042,460,624,517,977,316,369,752,721,408,261,352,848,044,703,257,242,468,
029,138,233,521,867,154,334,660,581,461,972,324,378,372,037,247,085,713,755,
915,117,903,784,048,619,380,735,246,528,494,099,575,864,600,437,336,376,224,
701,175,511,350,451,516,400,997,375,404,232,292,629,070,178,230,075,191,592,
429,275,084,254,481,073,745,843,633,152,190,603,492,290,819,701,850,669,948,
045,115,737,265,295,748,839,567,003,337,458,804,213,309,199,787,864,656,098,
510,979,707,804,904,883,716,862,539,198,426,760,630,333,453,689,076,170,523,
631,979,570,914,204,120,311,495,760,716,196,892,389,360,283,636,473,950,020,
920,629,620,091,758,688,101,456,884,388,137,988,088,465,057,970,996,474,081,
646,328,351,430,407,720,758,308,918,078,200,543,987,983,141,055,780,254,744,
856,760,183,579,793,013,523,899,424,701,324,661,939,874,608,695,427,807,740,
534,284,656,575,231,374,466,614,302,387,786,294,539,929,799,008,772,674,067,
739,158,841,687,025,358,367,705,185,603,884,559,858,071,532,406,966,317,361,
688,897,268,798,265,257,338,410,468,509,491,800,475,456,912,793,714,825,690,
571,363,929,835,082,975,390,213,720,197,313,049,878,651,085,049,321,061,114,
478,936,926,715,015,740,129,263,395,228,563,100,410,217,110,234,600,285,964,
653,114,045,935,815,103,823,390,875,443,906,469,528,445,451,936,661,239,002,
968,178,565,535,203,859,486,994,356,367,341,084,460,793,128,714,601,640,733,
324,339,058,135,258,819,942,415,117,817,775,634,699,860,220,670,249,298,970,
577,408,540,709,460,285,599,475,969,579,110,089,344,402,620,794,622,762,671,
195,855,389,482,175,514,397,720,746,108,047,553,809,502,111,193,039,470,666,
619,841,938,661,432,670,744,219,840,127,365,867,585,807,079,902,522,332,854,
206,629,377,538,802,694,535,861,380,390,284,923,864,822,006,559,442,645,084,
918,014,096,817,174,849,262,385,092,144,667,752,120,478,962,718,368,425,160,
869,946,218,447,413,710,963,883,467,110,926,138,873,666,109,495,210,690,257,
851,630,987,946,512,779,940,271,397,338,460,433,263,934,039,796,680,142,038,
404,932,498,661,520,288,510,477,956,201,637,878,942,592,945,297,796,697,134,
253,583,947,717,159,509,433,726,358,728,816,854,655,134,536,357,287,972,013,
378,969,440,792,663,407,983,598,736,541,394,970,526,851,707,253,181,884,213,
085,879,743,667,916,181,696,348,201,956,626,637,133,050,534,835,226,889,937,
012,632,705,870,923,784,742,608,511,796,004,616,892,284,997,700,091,900,368,
035,241,358,044,941,711,820,869,424,377,226,882,376,565,754,359,442,025,504,
407,299,806,106,386,259,531,338,129,700,496,183,153,536,455,371,848,243,336,
036,977,535,675,979,783,653,646,406,987,195,651,953,983,318,536,820,394,660,
783,824,941,260,682,757,890,396,658,504,203,057,229,527,717,793,883,509,055,
498,720,506,632,301,928,735,839,159,593,638,753,530,816,923,277,809,672,946,
613,046,517,408,904,385,916,910,748,134,943,525,497,499,760,720,055,928,793,
428,306,166,817,245,159,969,317,360,647,968,112,636,638,250,502,743,922,293,
594,181,801,423,148,963,756,798,503,865,980,443,910,330,440,923,273,834,559,
570,677,344,134,525,760,058,270,811,727,190,037,588,935,016,027,460,709,496,
385,043,766,555,803,278,866,643,276,366,235,682,754,713,302,286,057,007,216,
818,623,002,285,005,577,419,382,195,688,898,164,714,554,028,340,454,912,539,
734,232,546,158,161,967,269,019,915,998,517,781,917,414,769,306,691,021,231,
159,705,072,894,894,985,174,684,705,773,117,490,263,768,062,778,243,102,768,
155,416,061,672,976,213,607,038,538,675,926,275,527,448,181,304,484,470,859,
867,450,423,890,393,980,161,085,721,504,394,056,163,582,425,926,633,040,216,
299,750,514,114,027,043,586,703,201,643,951,219,004,553,110,604,173,971,246,
285,235,825,634,083,354,149,175,773,256,411,515,768,768,240,260,980,148,971,
971,750,713,263,590,806,568,011,545,138,727,578,709,678,122,983,742,580,186,
978,989,075,575,935,980,733,050,137,371,740,205,427,989,205,410,152,778,912,
853,251,496,019,087,577,090,587,809,730,214,539,487,381,610,940,829,948,235,
879,268,006,387,425,414,797,163,332,104,034,776,570,334,212,332,714,472,025,
537,557,880,743,433,656,072,741,088,477,649,499,132,529,491,920,671,221,531,
620,069,680,784,432,243,081,242,533,993,889,950,208,292,251,826,642,355,431,
554,569,448,244,666,075,831,340,520,238,037,693,948,483,993,377,049,127,455,
474,603,433,777,223,617,969,014,553,042,605,023,268,186,053,230,050,378,914,
335,732,195,708,418,569,314,064,016,099,930,800,940,997,133,644,584,492,148,
996,332,249,447,077,800,063,587,270,438,562,523,835,107,544,667,845,537,016,
624,598,883,583,726,541,397,250,396,176,760,392,050,908,782,055,552,414,778,
581,792,584,172,987,873,652,336,228,365,123,402,672,152,229,956,700,055,472,
890,949,854,461,738,872,218,291,232,456,198,548,708,171,040,805,150,009,468,
050,796,560,043,838,597,278,592,170,035,879,251,135,233,640,507,065,415,635,
333,654,754,482,415,766,914,408,671,438,217,403,315,594,361,336,656,242,368,
547,507,935,842,644,859,568,306,474,215,933,736,233,023,193,775,206,919,884,
979,688,608,385,766,462,066,328,405,830,995,408,990,092,693,662,300,108,991,
233,499,770,573,148,424,588,547,749,052,909,281,288,210,965,356,070,258,548,
401,630,050,342,359,221,271,595,044,602,982,982,820,492,296,676,264,042,494,
740,245,367,023,632,512,824,555,192,385,423,565,371,848,644,739,274,876,115,
042,988,474,133,402,254,599,317,469,056,028,455,743,904,062,694,742,385,572,
022,786,500,932,283,137,314,951,059,211,095,660,797,135,283,037,143,143,233,
398,266,094,324,891,648,100,171,988,485,692,756,454,491,981,479,066,235,668,
617,953,361,978,657,748,007,048,838,083,734,098,702,686,850,382,182,602,218,
015,685,463,875,847,105,539,739,867,009,634,618,270,685,912,851,330,408,173,
525,775,055,880,279,999,135,374,796,242,611,134,928,594,340,743,300,544,629,
650,623,971,701,392,814,451,084,767,641,803,294,273,345,560,046,670,870,428,
392,841,475,683,164,378,032,127,429,507,743,797,669,393,599,163,075,322,278,
773,272,705,745,226,484,506,010,757,503,765,873,184,381,067,020,865,552,526,
440,754,444,493,204,076,884,746,532,139,878,140,071,603,361,185,845,239,104,
265,866,571,273,106,282,558,492,620,705,537,653,767,684,502,488,038,550,643,
067,819,697,034,173,352,965,329,191,156,985,542,524,972,477,865,647,143,593,
307,127,899,055,729,629,538,696,097,132,466,029,811,765,131,325,656,960,294,
051,906,983,511,679,946,454,528,261,614,972,865,985,852,405,697,333,314,844,
949,785,841,989,288,136,589,592,420,483,787,024,589,335,700,517,854,036,939,
572,913,394,160,895,531,323,576,715,095,272,107,981,569,559,719,067,404,291,
333,915,856,624,938,992,983,962,966,764,368,227,423,531,643,463,136,736,695,
006,615,284,475,578,753,856,521,713,858,302,902,334,709,670,330,222,568,010,
150,732,704,631,628,483,895,310,124,191,031,056,678,840,187,893,623,086,816,
041,845,769,395,427,952,454,913,211,159,332,032,963,736,872,224,483,436,440,
529,751,823,882,783,068,801,951,962,598,342,951,090,243,199,487,001,502,876,
274,880,094,859,864,363,523,576,239,674,148,057,836,144,309,681,382,573,558,
580,413,288,913,149,449,105,291,217,722,772,537,516,406,563,694,417,390,800,
348,614,738,991,114,443,261,224,872,575,600,771,118,033,246,703,015,884,753,
581,560,847,230,104,631,595,597,829,205,389,080,018,753,066,302,535,719,203,
418,547,573,712,595,185,773,751,346,898,564,187,887,735,362,762,532,592,746,
834,690,234,467,112,535,698,109,399,493,495,021,486,145,907,487,791,513,653,
766,216,864,838,464,655,303,205,595,305,213,883,158,459,920,823,792,691,533,
300,368,452,243,563,882,261,678,949,864,249,785,261,264,564,036,539,925,273,
642,866,839,886,637,432,725,722,268,263,562,595,290,953,809,550,516,276,292,
469,527,708,265,895,142,703,326,355,659,003,262,210,044,135,770,537,114,743,
320,292,441,252,054,217,279,524,135,417,757,818,322,935,278,458,925,803,003,
899,981,452,458,498,589,079,511,967,907,015,638,277,142,704,803,488,398,995,
158,064,808,369,812,319,235,936,568,574,070,194,807,036,774,348,869,647,483,
872,665,311,823,110,608,167,137,438,691,724,906,101,800,055,489,007,811,885,
082,449,046,118,592,709,958,340,805,166,424,596,850,745,707,795,937,785,342,
596,522,357,442,893,256,752,828,004,612,231,158,688,114,399,278,928,229,910,
265,359,597,953,677,462,437,514,114,673,285,632,280,397,248,968,262,458,089,
454,748,830,224,849,146,346,620,694,818,584,873,782,550,965,676,802,791,013,
288,262,175,304,706,615,610,693,714,516,467,841,207,816,216,464,748,390,582,
046,806,094,384,387,753,505,475,549,609,761,052,858,154,546,059,922,254,967,
086,153,593,373,563,907,048,910,569,478,768,216,346,399,574,233,713,626,572,
268,887,939,796,808,523,104,531,213,010,221,868,512,078,247,326,031,550,816,
113,089,698,783,354,018,592,642,325,378,332,256,775,907,458,014,648,260,352,
132,523,177,109,187,235,858,484,135,827,568,394,776,173,913,827,368,636,952,
922,540,076,192,826,805,756,865,184,807,341,169,065,588,381,780,622,243,661,
670,801,993,706,594,791,068,711,216,929,475,391,160,855,863,031,668,248,702,
197,871,503,103,354,822,844,432,048,386,732,862,395,061,531,070,610,202,537,
985,408,008,344,080,358,783,677,662,843,076,525,860,402,100,900,127,716,389,
820,976,493,801,569,321,863,248,820,753,526,031,864,502,752,315,196,611,657,
731,390,559,859,794,706,658,383,679,659,963,330,630,750,784,009,349,339,831,
372,505,020,508,234,357,602,951,732,223,273,908,008,131,300,768,456,834,344,
279,536,685,109,199,265,302,642,649,508,497,514,052,838,361,518,997,961,438,
317,976,404,314,769,420,389,038,997,905,504,183,568,369,618,629,634,622,411,
174,496,008,410,380,679,789,931,637,798,571,028,965,461,017,288,026,081,561,
372,503,149,568,615,783,347,653,155,287,489,654,250,923,040,848,856,722,762,
020,251,051,054,677,667,806,097,807,121,828,936,596,393,312,803,957,710,806,
199,159,423,181,190,375,222,677,182,966,544,827,800,020,508,775,802,786,501,
406,000,360,443,869,369,624,088,588,171,174,892,512,250,874,658,252,547,750,
883,355,411,905,597,084,712,444,187,947,766,234,340,537,212,622,192,302,039,
101,656,010,915,885,954,728,882,042,438,817,754,959,657,882,408,935,587,035,
482,420,043,634,634,402,414,401,190,371,993,850,604,423,547,665,968,438,795,
604,987,999,383,514,794,483,997,799,802,092,064,045,510,658,456,365,251,710,
933,908,403,563,130,332,098,788,891,544,564,583,847,181,590,472,788,620,997,
781,976,838,387,354,116,748,673,452,236,108,099,928,936,724,076,530,272,728,
284,807,220,983,052,486,865,632,259,720,300,990,907,782,528,575,238,987,831,
108,519,880,511,920,302,260,300,041,577,568,494,263,517,540,428,630,550,061,
316,803,125,113,185,196,305,067,904,798,660,623,708,090,600,742,900,481,794,
743,340,322,241,736,188,217,020,605,818,435,723,191,039,706,931,086,771,486,
788,755,447,322,208,253,268,947,969,304,312,078,584,042,784,895,528,018,665,
741,739,085,951,568,201,351,308,111,470,772,401,787,556,102,127,037,919,311,
405,801,682,410,333,136,338,133,340,492,367,234,843,041,054,772,310,909,399,
571,815,732,482,721,674,700,665,426,691,203,398,095,189,397,565,283,115,530,
365,802,883,851,667,091,921,119,496,163,739,960,644,479,048,384,379,477,900,
615,431,476,431,862,986,770,176,811,454,089,650,522,750,125,036,137,533,460,
864,550,770,508,793,724,479,048,997,113,027,011,150,598,207,126,540,431,232,
644,771,360,419,815,998,678,718,413,857,464,573,590,917,984,513,907,279,774,
990,156,185,422,057,060,959,189,663,844,599,219,932,827,486,075,768,840,890,
280,037,756,649,542,448,419,536,532,594,699,437,585,691,785,781,206,666,038,
620,423,032,846,689,571,744,343,984,664,400,234,473,958,041,763,156,651,658,
690,106,987,455,061,953,103,656,132,784,792,974,422,013,410,555,371,358,915,
532,794,935,372,473,328,049,705,949,042,198,795,654,378,748,198,141,693,291,
390,110,681,767,400,903,462,637,649,722,866,967,523,591,378,766,257,416,355,
282,700,710,345,950,944,383,198,157,278,253,023,507,095,048,190,305,071,930,
771,460,819,871,230,177,539,512,908,870,324,768,621,372,652,446,179,213,668,
334,522,252,615,058,121,754,517,980,748,556,026,196,179,621,272,688,725,571,
536,542,518,609,892,259,599,953,481,630,923,738,047,198,845,779,809,404,645,
566,782,844,988,638,826,062,902,706,939,366,292,904,166,251,304,054,950,838,
168,103,331,306,331,865,769,561,221,388,386,819,946,009,268,602,369,308,338,
404,873,152,675,251,568,609,388,179,034,712,466,803,118,311,556,806,633,184,
678,522,861,081,454,348,685,635,431,825,030,507,397,702,769,717,785,688,761,
237,730,890,401,016,754,584,882,193,146,031,565,017,424,436,277,309,277,913,
719,231,782,240,995,353,229,396,088,862,316,480,530,075,165,093,357,432,879,
670,959,357,416,399,251,877,214,305,522,637,482,924,810,105,234,742,304,482,
525,059,926,146,663,564,297,050,921,505,726,485,015,031,860,542,385,691,615,
886,539,381,870,131,198,387,412,266,715,197,453,016,601,047,051,140,288,412,
805,137,380,014,428,993,604,552,984,318,213,309,421,281,072,311,543,226,248,
435,402,521,867,515,004,549,813,945,565,215,887,820,254,231,155,507,345,094,
964,536,703,994,163,955,023,896,785,781,211,624,965,010,423,440,458,996,964,
879,818,281,796,692,635,430,760,893,678,118,906,617,407,477,488,996,779,341,
851,793,395,658,258,866,317,646,184,766,104,208,133,077,681,111,054,297,061,
955,519,999,948,809,413,144,471,743,439,091,104,724,720,411,529,046,076,994,
384,283,455,034,507,370,136,949,657,041,757,857,021,659,467,033,349,951,762,
493,889,589,183,611,048,443,543,017,853,971,464,995,238,220,577,011,354,842,
904,802,929,741,270,020,877,298,277,044,087,187,839,622,102,806,285,233,583,
345,317,583,923,437,112,025,500,278,120,006,273,637,389,538,222,530,727,546,
035,431,068,718,012,684,368,301,723,240,831,426,570,518,212,453,407,938,581,
311,957,305,044,867,452,800,253,570,010,940,336,146,602,804,658,601,977,401,
925,741,664,681,589,118,897,202,638,381,952,102,699,034,457,654,903,420,566,
516,076,223,168,459,146,677,019,353,741,230,963,727,014,794,028,532,784,882,
371,839,685,377,340,545,789,908,272,515,799,173,069,704,196,943,762,041,795,
006,630,954,932,291,033,592,108,247,599,551,752,994,076,269,771,861,501,170,
323,320,693,016,089,065,284,368,013,704,780,358,415,732,061,113,783,096,878,
014,190,882,582,090,814,068,970,309,120,375,277,245,524,014,584,267,455,221,
503,332,449,080,601,895,711,773,006,589,323,508,860,740,650,117,743,879,478,
753,122,944,716,916,060,552,938,959,265,327,226,513,517,264,910,730,296,073,
920,743,931,088,218,419,265,075,578,044,269,614,434,700,411,404,405,486,571,
279,902,481,420,960,161,082,441,881,360,766,709,677,031,058,882,183,539,581,
745,881,148,600,579,267,984,843,469,556,407,467,495,438,593,275,295,414,833,
050,443,971,112,104,918,501,298,400,654,243,901,487,972,238,386,677,743,265,
125,145,959,785,473,992,533,134,576,463,537,540,842,688,526,806,859,304,462,
536,299,921,996,731,372,076,207,955,558,290,239,498,636,729,672,801,548,026,
413,988,396,565,117,370,792,802,720,033,089,356,929,342,190,359,201,885,584,
781,939,581,103,159,978,943,903,582,320,523,528,855,892,291,625,023,382,077,
783,338,536,004,930,768,344,036,160,057,904,563,177,059,671,753,884,526,248,
117,757,693,595,188,756,099,312,873,471,159,225,559,255,812,218,891,767,781,
368,028,530,648,840,440,775,551,820,668,755,142,308,923,205,528,707,986,770,
458,056,368,276,206,375,113,972,702,429,117,449,291,427,974,910,966,040,900,
015,231,846,261,213,737,786,956,325,818,145,207,666,522,884,635,171,182,786,
185,462,395,486,752,747,803,234,011,947,217,702,585,988,236,372,614,193,049,
840,799,482,237,252,358,096,268,735,936,610,077,651,221,564,397,888,668,792,
478,946,821,275,279,540,669,358,581,575,683,909,598,733,959,172,815,997,570,
725,099,333,111,175,231,907,893,008,426,892,857,883,523,993,321,062,818,538,
144,183,268,690,352,316,645,137,221,150,323,516,912,911,340,887,837,209,558,
270,570,454,332,164,213,689,203,451,111,679,599,485,745,213,528,744,418,244,
168,178,473,911,133,361,207,585,425,368,456,500,598,481,694,754,834,517,520,
516,566,426,881,995,185,735,592,737,988,766,226,414,842,065,476,032,757,466,
221,352,248,723,901,251,722,505,771,491,356,737,983,657,938,249,345,406,651,
636,855,363,656,738,746,325,157,135,665,310,619,705,349,789,077,410,286,049,
420,840,831,072,906,926,889,680,585,396,842,347,123,327,733,503,735,723,754,
878,688,951,086,148,011,296,940,668,550,025,332,629,512,965,989,231,595,606,
143,925,620,744,858,689,113,739,454,175,864,576,431,816,766,130,849,116,185,
270,236,886,437,635,197,010,557,070,915,529,134,617,511,676,627,609,169,680,
045,106,316,674,020,132,410,202,755,425,116,002,778,936,119,922,247,993,292,
383,184,442,882,200,537,317,769,710,918,853,386,734,634,493,965,324,770,997,
534,293,678,371,839,642,169,041,577,438,462,276,554,299,824,162,563,564,340,
591,038,170,643,684,757,387,390,425,895,541,952,427,498,050,810,300,053,203,
684,434,708,583,881,932,353,133,468,694,585,749,258,132,733,010,805,652,949,
127,597,103,163,143,833,944,964,044,194,683,653,451,270,131,359,211,938,524,
133,061,523,222,424,463,037,038,888,007,623,118,109,140,739,505,045,305,695,
481,558,906,483,979,753,454,997,567,937,768,127,726,935,899,223,676,815,735,
231,998,914,891,210,795,625,805,725,662,586,540,315,469,131,050,832,133,845,
994,363,931,993,967,693,563,715,727,314,722,526,822,705,871,412,742,536,542,
145,170,361,049,242,422,594,634,275,581,206,624,868,333,410,075,205,927,429,
189,188,354,122,994,596,038,258,369,156,956,090,026,497,227,824,156,302,327,
704,718,302,543,292,719,762,566,846,057,812,627,586,162,570,182,574,615,955,
031,583,457,644,780,084,559,210,849,862,061,773,696,598,547,219,623,548,232,
895,950,944,624,342,444,509,376,720,571,712,784,923,785,812,015,266,204,152,
675,446,900,342,961,689,917,011,816,189,122,452,204,830,085,668,404,703,515,
043,352,216,675,790,223,782,177,282,818,488,417,834,276,262,518,751,250,305,
017,393,479,412,366,668,665,839,004,645,473,996,401,187,599,565,020,641,314,
114,907,884,397,102,127,461,127,843,420,373,956,613,411,422,614,960,086,279,
615,718,940,597,150,932,814,992,895,993,026,377,088,328,333,332,975,598,914,
924,565,858,212,136,712,796,512,969,382,944,066,449,458,141,163,878,696,982,
042,697,368,911,474,578,410,580,471,588,974,946,216,728,573,459,227,929,632,
684,109,680,547,515,589,246,960,365,263,870,625,826,382,922,209,131,346,202,
987,987,483,227,428,278,435,552,555,245,863,038,956,706,387,764,018,373,018,
351,130,159,986,582,823,567,340,584,725,651,189,061,602,174,113,817,923,415,
312,249,650,550,085,837,435,988,788,884,754,586,272,144,603,167,677,111,992,
574,700,831,775,477,483,872,498,369,204,600,592,619,732,079,378,048,637,420,
379,178,186,444,309,317,494,025,205,277,163,742,833,019,113,848,906,846,392,
813,868,299,559,225,870,208,933,458,005,869,595,371,484,991,342,354,356,364,
235,180,194,457,405,501,111,796,802,415,081,490,392,951,432,725,850,054,128,
099,245,794,788,530,542,996,996,557,893,159,243,312,962,044,392,776,443,145,
171,197,345,973,979,605,957,615,596,136,852,371,942,009,244,441,277,856,692,
103,862,107,372,604,926,188,599,477,597,033,464,023,179,547,487,382,187,894,
490,676,349,091,976,484,240,512,751,320,441,670,059,708,660,014,924,893,431,
391,988,060,969,764,489,737,205,853,411,514,104,354,493,270,068,717,997,247,
956,469,760,141,481,208,378,184,141,107,941,742,184,568,318,018,711,860,925,
587,546,355,610,442,007,025,310,548,273,188,676,741,276,632,921,908,357,415,
239,618,608,666,630,962,361,846,865,892,306,545,291,479,710,079,322,777,063,
437,084,323,027,003,363,545,116,885,924,864,668,953,108,851,583,251,388,506,
025,584,987,604,244,053,880,447,969,621,167,391,704,165,823,840,854,394,954,
049,898,018,667,509,776,993,438,155,623,317,016,244,235,554,518,385,868,045,
154,705,892,848,295,156,086,541,494,223,639,657,160,151,378,892,414,045,584,
136,151,676,469,903,444,268,267,419,427,275,277,347,454,859,314,753,165,700,
114,442,337,966,207,060,303,053,922,051,963,857,399,949,333,519,935,900,017,
891,685,005,521,358,672,523,919,631,618,440,987,225,469,207,973,401,352,274,
785,982,641,331,436,747,000,404,966,699,035,985,241,588,560,399,613,754,034,
471,080,441,875,266,412,334,922,196,776,446,900,111,651,748,341,762,513,382,
263,570,252,128,780,872,810,715,530,357,050,764,751,467,209,642,811,319,315,
333,575,227,682,666,369,016,819,772,025,941,773,200,931,548,650,771,935,586,
704,201,161,333,585,520,599,308,343,957,115,698,163,660,581,982,443,309,276,
754,506,663,065,446,161,061,551,425,899,922,119,732,980,785,542,979,417,321,
917,870,659,452,491,491,522,063,900,866,962,563,655,367,420,807,482,865,889,
050,147,527,942,072,933,097,525,756,342,651,703,213,578,724,550,908,010,468,
333,068,467,881,789,235,792,397,977,633,348,485,277,906,764,003,346,355,321,
188,149,955,976,257,155,104,782,439,227,920,329,880,529,101,061,613,027,914,
662,546,553,421,571,971,276,439,478,177,835,674,988,659,455,843,318,570,797,
440,299,377,684,665,079,844,594,850,239,521,605,968,636,426,326,820,664,082,
638,803,912,093,678,776,793,873,710,287,833,956,845,679,566,798,147,640,991,
251,098,383,891,967,841,220,735,715,750,748,129,221,177,600,515,193,347,290,
191,915,569,960,880,120,260,747,575,431,527,875,448,306,833,878,140,863,650,
468,871,870,340,139,897,501,987,501,262,443,334,224,603,600,176,502,439,468,
000,484,288,268,235,556,396,855,089,401,340,428,963,089,191,264,868,132,697,
932,984,823,538,410,818,740,783,589,645,158,103,962,739,781,464,388,138,366,
585,711,678,051,284,231,146,429,458,472,400,058,418,373,867,462,598,326,954,
871,845,453,443,325,947,679,559,730,450,949,061,853,035,841,303,407,241,812,
785,267,919,175,203,344,002,236,607,610,132,315,220,287,768,006,170,354,212,
785,256,163,564,616,195,538,820,794,753,839,893,304,431,886,432,472,512,844,
280,297,641,400,629,821,129,341,788,686,933,595,816,541,913,393,926,982,013,
161,166,874,694,830,307,240,270,677,333,267,795,682,356,685,406,446,732,625,
566,747,768,847,901,422,091,397,556,394,141,360,364,463,109,144,771,417,341,
288,236,628,142,559,535,371,423,043,279,992,023,751,141,331,491,531,585,458,
014,129,218,588,569,977,016,268,347,421,641,787,993,434,302,509,097,460,098,
229,692,366,961,512,392,182,501,871,415,422,392,865,343,929,193,389,685,036,
937,212,347,508,306,453,698,545,145,804,879,980,230,217,060,948,966,183,663,
825,869,390,032,142,872,913,850,086,171,228,035,227,448,755,167,456,160,789,
718,138,733,778,682,469,245,622,828,206,028,057,247,430,654,394,090,135,441,
542,482,651,764,760,444,936,167,513,087,928,921,551,692,665,117,752,995,593,
366,448,856,306,975,196,463,195,979,786,715,879,083,448,715,524,052,218,968,
148,514,649,912,569,311,634,489,520,035,467,113,737,856,115,244,623,341,217,
580,938,884,198,814,825,527,270,557,097,538,616,798,824,631,229,923,350,906,
320,902,815,019,089,971,728,328,807,382,815,385,146,122,095,982,379,262,800,
686,240,313,381,453,925,893,454,767,936,850,753,553,008,050,246,080,625,959,
970,332,821,514,847,154,956,852,920,447,411,895,177,292,873,946,942,904,402,
661,228,993,163,682,391,405,636,873,918,621,703,159,310,630,968,348,803,180,
569,989,252,410,739,216,843,976,392,403,093,045,258,765,113,551,416,346,046,
013,952,779,989,240,286,435,390,622,738,857,116,191,280,933,596,556,058,664,
901,992,768,527,126,624,973,804,690,047,631,385,530,531,760,026,543,297,274,
251,903,399,877,750,832,152,522,309,858,846,614,937,204,001,471,449,275,923,
425,223,798,868,832,569,249,193,358,440,637,168,742,842,211,947,832,856,926,
720,629,676,299,105,338,241,808,923,695,471,675,025,529,927,825,249,687,637,
836,101,651,402,217,232,907,436,889,129,131,984,454,131,914,730,009,832,966,
413,279,535,729,439,243,174,916,716,078,405,480,077,216,154,344,279,928,634,
500,182,628,926,629,684,787,861,783,541,038,534,286,132,260,705,157,383,714,
631,396,753,817,368,418,881,008,080,079,784,143,350,407,754,873,192,309,416,
835,201,745,885,149,297,370,680,754,823,420,146,796,095,392,565,787,265,986,
507,789,474,294,760,061,151,400,108,954,929,414,716,764,573,473,631,344,338,
888,697,139,804,852,361,686,578,536,804,429,227,990,068,605,332,331,002,225,
855,402,540,762,697,789,280,149,196,093,047,241,411,134,356,005,111,585,880,
390,919,335,126,474,847,849,860,617,191,599,510,957,044,435,948,623,877,388,
404,872,708,822,009,406,130,280,678,250,709,073,335,252,085,760,032,452,431,
335,436,106,697,466,359,741,053,292,645,952,440,042,929,497,121,566,689,567,
321,770,003,859,664,951,794,430,908,047,376,339,635,849,361,200,414,555,844,
440,753,617,375,495,863,606,160,728,108,755,267,198,977,862,170,185,271,473,
236,081,571,599,505,577,866,577,508,115,236,363,906,850,775,888,422,259,357,
048,473,274,473,994,549,868,299,044,821,815,350,842,929,681,873,982,487,729,
241,291,542,381,706,465,648,398,322,380,210,445,186,384,347,645,450,895,727,
320,749,874,001,237,729,293,023,836,135,297,337,492,997,373,798,448,579,283,
467,417,777,334,209,518,451,937,444,134,258,111,491,428,643,453,066,444,057,
071,998,826,575,256,957,608,358,410,129,817,464,970,479,755,927,763,034,028,
651,156,437,260,047,770,419,590,987,498,990,829,344,968,822,869,840,949,736,
345,192,132,128,538,918,937,218,276,468,397,986,523,941,143,004,573,912,196,
703,580,376,636,151,642,005,275,678,900,509,619,552,241,640,113,651,677,685,
833,678,225,083,338,058,640,498,110,259,543,829,271,869,851,129,280,684,205,
157,829,516,687,292,129,093,502,193,897,841,623,705,408,636,951,868,826,996,
297,239,250,940,482,363,617,610,886,869,290,407,693,388,047,397,454,735,594,
228,785,647,065,070,161,417,233,881,625,508,931,087,096,717,150,735,622,116,
287,755,573,805,507,142,500,023,217,018,117,178,875,138,648,894,225,503,806,
090,961,699,097,642,677,511,190,209,760,964,216,301,568,337,229,740,911,861,
140,385,987,763,489,956,604,606,831,885,470,157,145,220,743,194,249,696,919,
492,687,166,587,562,182,585,363,302,915,474,371,146,243,433,452,877,680,653,
066,440,310,026,518,529,226,341,044,422,070,695,880,724,823,239,859,952,837,
158,760,983,105,254,793,995,482,834,204,802,848,364,423,358,911,492,775,532,
665,834,756,771,540,232,798,391,208,022,271,889,587,997,660,837,003,032,173,
873,488,382,739,067,324,748,915,641,293,959,368,577,442,166,649,173,067,061,
328,392,452,293,907,737,897,897,458,402,545,520,875,988,324,345,455,851,649,
111,452,280,682,437,541,212,863,041,639,520,164,171,013,926,748,137,450,510,
796,985,067,186,234,335,422,347,128,241,013,819,650,683,159,160,614,283,372,
172,460,553,370,388,429,853,168,196,119,975,614,143,279,716,371,817,288,153,
195,657,968,619,414,798,744,738,370,559,521,646,555,768,880,844,492,625,012,
945,589,042,189,938,597,657,974,493,799,999,430,991,354,220,833,234,721,119,
415,914,413,664,758,367,709,933,909,140,846,238,130,814,486,538,250,012,314,
126,460,170,374,349,363,923,672,249,552,558,419,137,991,746,927,582,400,016,
583,724,643,762,027,558,450,796,222,709,220,958,844,743,642,127,521,811,485,
399,599,190,207,735,425,394,881,817,947,369,520,443,192,981,425,553,560,524,
389,744,327,073,433,650,508,115,822,424,253,231,240,444,222,186,041,951,177,
740,021,947,756,794,557,357,482,047,799,091,651,751,306,569,225,984,756,180,
445,543,345,390,161,541,287,723,198,745,804,449,138,141,738,104,215,377,369,
414,767,288,196,467,500,272,818,075,346,964,506,686,035,488,089,550,496,667,
787,700,272,430,880,708,126,133,290,058,131,513,332,054,918,802,427,770,389,
391,998,142,896,240,477,515,244,204,205,073,937,076,686,816,681,520,628,927,
694,151,458,896,121,752,808,438,198,544,996,631,644,723,511,401,105,560,102,
922,795,569,801,081,175,436,677,415,861,809,524,164,312,862,749,718,590,025,
921,949,717,128,458,332,227,544,526,016,118,325,772,315,349,700,320,492,075,
627,556,051,446,701,319,290,948,944,962,944,264,371,366,974,138,344,779,576,
331,763,153,199,964,381,702,470,716,545,780,081,543,258,608,570,830,630,903,
692,860,325,775,127,103,598,947,679,492,059,927,610,557,507,869,426,355,037,
858,061,455,997,911,188,027,965,525,493,119,219,758,010,474,590,623,590,401,
748,545,431,954,450,963,470,861,692,010,884,699,722,146,382,224,648,365,347,
598,971,250,538,427,498,044,864,092,273,968,087,354,083,618,246,756,890,429,
648,477,408,884,192,798,283,742,616,696,107,534,821,963,952,792,886,929,155,
737,672,738,662,570,604,443,046,543,004,825,179,140,798,713,941,604,762,960,
700,814,199,616,059,273,365,674,796,563,992,869,962,755,943,738,985,951,877,
458,457,930,026,075,512,892,824,765,250,585,442,504,578,556,643,636,441,522,
835,632,323,111,426,034,098,366,743,250,758,310,343,887,745,396,262,321,107,
066,227,415,039,749,670,665,094,419,010,666,727,784,919,878,232,472,811,826,
522,758,603,106,695,308,411,690,319,510,062,019,332,460,486,574,982,310,521,
096,642,042,386,357,298,867,034,375,023,109,094,454,541,457,189,550,992,621,
677,662,964,608,203,016,423,550,835,107,751,922,797,050,844,604,298,900,308,
028,296,404,592,351,276,608,237,495,695,990,668,224,929,390,473,751,507,285,
453,326,283,493,553,263,090,551,172,412,329,024,011,691,254,253,195,764,610,
232,981,489,283,446,054,824,323,898,323,560,260,085,243,847,449,373,128,581,
474,656,071,582,793,150,371,462,401,105,004,405,703,138,375,242,855,428,195,
990,899,210,902,332,797,426,889,117,904,640,068,069,949,524,361,012,005,587,
738,373,864,591,151,218,441,571,368,942,951,147,026,875,173,758,500,061,876,
252,305,096,834,073,910,884,164,862,447,757,305,861,232,023,255,211,799,210,
994,509,187,605,284,087,353,596,497,951,537,047,944,103,822,967,483,697,674,
363,624,940,397,440,951,521,077,801,999,877,785,686,978,612,462,283,522,427,
087,732,999,233,671,705,175,382,525,539,007,048,281,266,497,039,557,354,594,
616,774,005,083,645,430,740,966,544,492,185,791,806,764,441,939,426,349,818,
840,542,815,204,467,177,456,029,887,107,477,169,995,886,596,660,037,572,458,
373,906,364,330,912,778,162,631,683,809,547,902,148,291,414,721,347,697,400,
721,565,906,420,975,622,210,549,351,560,720,940,636,775,773,245,549,130,502,
261,810,415,113,282,904,963,040,099,219,132,872,843,424,347,132,784,526,513,
008,484,897,266,261,123,719,941,749,483,167,844,954,593,051,103,136,352,895,
758,067,912,467,189,471,518,126,388,388,564,898,327,558,248,072,598,946,370,
533,137,024,493,502,723,286,373,357,353,737,072,802,017,115,191,947,466,922,
672,532,141,286,512,488,799,498,534,265,170,645,652,993,627,120,639,885,124,
237,889,795,560,296,920,259,137,107,334,411,504,353,828,404,740,528,007,763,
770,023,180,795,770,768,077,621,309,539,205,701,041,436,880,652,584,819,854,
910,258,949,691,454,004,908,203,475,392,515,918,306,638,872,434,142,690,271,
792,932,478,743,664,715,185,672,363,944,414,977,407,800,845,764,734,069,570,
276,110,959,782,705,207,604,011,389,229,013,664,163,303,478,939,275,304,624,
707,119,855,691,668,865,982,366,766,780,447,113,872,843,389,576,003,050,358,
358,257,070,716,471,058,942,900,160,235,451,651,760,806,526,699,864,563,751,
939,497,189,145,643,247,949,592,034,709,899,613,321,737,743,478,993,396,494,
743,629,406,740,216,984,822,891,133,932,566,820,542,469,695,781,117,708,081,
653,753,119,549,316,972,359,496,460,084,390,384,598,743,692,833,079,340,652,
767,287,656,938,849,243,143,760,362,726,365,191,629,939,574,120,705,739,406,
640,967,052,139,781,744,853,664,621,848,217,355,229,000,303,909,645,822,812,
494,202,292,246,377,379,518,913,459,395,177,556,614,269,456,909,624,305,915,
414,921,244,277,347,374,040,858,957,140,988,844,375,677,795,455,937,687,424,
526,918,268,490,005,586,871,560,317,273,862,262,876,376,030,914,794,503,548,
564,507,916,130,272,713,880,053,180,482,832,554,756,452,119,698,490,603,372,
034,535,745,957,702,151,253,329,150,560,916,031,886,298,294,405,908,097,909,
421,371,124,042,585,758,741,439,294,085,266,160,227,038,525,985,831,654,310,
060,459,756,281,743,590,592,887,490,338,427,464,241,514,329,849,235,122,496,
060,956,725,473,699,077,779,471,325,828,924,941,243,523,494,917,718,274,162,
690,818,436,769,734,245,797,463,546,872,925,158,407,520,221,682,616,010,208,
521,465,820,233,925,594,482,934,571,604,920,381,928,576,368,670,814,266,157,
316,146,289,401,798,204,675,557,178,295,318,438,544,433,919,862,195,748,633,
549,547,882,267,232,232,556,437,941,639,535,526,747,694,366,286,145,689,076,
709,414,265,277,403,077,889,849,725,036,480,430,566,536,086,275,492,689,451,
222,802,335,024,082,426,514,874,607,404,894,590,455,153,934,892,473,409,070,
268,579,889,688,258,028,706,461,919,873,124,785,283,197,003,035,080,153,277,
623,561,166,324,360,428,139,565,379,646,321,064,195,331,589,619,629,494,075,
562,726,839,688,374,574,198,148,394,867,664,757,126,587,722,589,981,896,439,
552,101,427,635,599,013,642,398,241,479,299,251,709,186,797,019,372,082,857,
776,334,012,100,977,779,889,213,489,428,113,581,568,965,748,208,462,891,211,
062,899,977,098,414,424,812,762,168,172,467,665,738,658,770,765,931,607,829,
777,277,916,672,792,305,868,892,193,865,710,141,065,689,014,907,331,282,949,
345,636,996,081,312,914,779,505,842,652,602,120,208,239,851,948,089,377,726,
329,007,583,551,198,754,900,580,502,140,943,077,187,305,151,516,836,529,507,
406,362,489,544,636,254,105,890,356,464,206,807,553,265,700,558,790,861,081,
475,206,653,449,541,060,085,312,948,571,508,690,215,464,661,705,386,393,673,
522,147,876,405,985,572,306,066,651,055,645,723,268,307,434,448,503,290,993,
579,093,115,696,540,981,563,434,350,050,765,240,802,589,252,907,824,380,397,
695,150,846,934,765,994,442,490,960,443,747,992,707,092,181,770,464,143,042,
087,272,670,084,539,434,278,917,458,129,129,846,716,127,613,566,664,389,187,
183,789,136,505,177,115,876,462,471,826,376,148,602,993,410,037,419,371,946,
578,542,907,933,393,522,888,367,197,112,673,481,893,396,063,418,133,136,663,
779,351,781,358,839,899,736,848,946,536,691,416,987,751,435,661,469,540,195,
539,571,213,448,575,580,612,260,125,870,389,048,510,492,230,549,365,815,639,
564,217,310,710,911,836,003,190,311,828,546,355,296,717,645,880,098,425,501,
670,117,043,960,126,533,640,895,286,473,189,192,982,728,112,612,073,904,689,
727,675,727,860,542,209,840,363,174,974,723,705,639,382,563,469,611,287,282,
035,171,839,069,143,042,564,104,589,728,663,096,792,515,012,978,715,217,039,
615,998,886,507,468,175,905,051,213,993,460,263,438,571,905,463,933,778,621,
240,271,046,736,954,465,133,740,255,346,965,208,000,870,415,718,678,100,840,
768,904,309,864,237,503,829,764,766,227,437,299,247,485,572,482,498,333,219,
412,205,547,682,592,137,948,011,481,630,107,800,711,886,819,994,379,450,997,
078,939,027,150,533,503,084,101,715,137,998,517,328,999,233,089,957,946,375,
353,957,630,282,199,271,107,819,062,243,262,452,756,206,869,009,307,931,636,
462,633,837,530,441,514,072,464,302,012,163,411,779,767,276,348,333,668,064,
315,560,805,426,126,383,642,130,115,100,239,405,919,653,237,030,883,394,850,
519,821,014,229,358,979,786,624,104,929,012,057,750,267,018,987,428,715,468,
095,215,034,162,864,092,698,353,612,991,417,526,733,440,639,403,894,750,477,
313,058,045,346,447,697,085,068,807,575,722,456,979,688,254,159,314,899,165,
831,656,726,144,657,460,913,874,477,237,810,678,812,394,587,543,087,141,520,
812,629,408,879,965,699,337,460,116,212,501,963,323,634,596,753,150,983,496,
633,269,689,493,387,882,794,461,841,622,941,446,193,909,999,165,984,355,684,
153,745,525,976,439,831,746,721,049,207,661,846,367,647,626,826,113,314,024,
781,518,430,197,926,259,688,618,465,266,298,245,664,907,664,227,897,477,550,
681,698,989,431,240,070,655,021,955,685,799,136,024,025,571,861,399,806,719,
988,412,319,596,223,551,516,845,577,019,539,489,077,814,563,342,825,435,584,
623,716,989,314,420,759,009,486,197,333,459,604,627,088,632,088,839,458,365,
360,919,213,201,698,866,914,370,877,252,663,761,356,304,554,543,035,795,782,
050,726,050,530,505,773,359,792,026,152,948,544,281,940,275,006,744,426,941,
731,293,212,499,945,595,581,024,996,984,075,645,639,801,317,634,666,922,385,
664,776,958,763,156,429,441,308,074,366,673,435,793,187,552,228,540,508,897,
838,088,466,208,675,533,170,112,974,357,686,769,170,105,516,822,346,866,984,
638,588,829,389,231,965,128,286,967,985,624,002,511,198,060,169,567,090,957,
019,674,221,523,472,118,405,909,053,635,852,109,327,998,427,292,143,784,506,
685,798,434,109,263,839,269,544,712,825,190,546,000,695,743,881,579,113,407,
970,512,610,823,862,286,234,138,941,620,938,939,337,434,885,338,193,387,202,
133,039,804,678,844,846,879,040,487,969,075,067,527,594,399,173,824,206,566,
916,217,720,102,526,609,091,401,564,909,349,713,121,998,293,342,415,722,467,
014,286,628,031,618,655,934,214,207,889,738,319,988,381,399,756,947,136,001,
399,644,059,514,163,268,811,629,742,769,050,580,365,936,064,857,975,831,067,
231,207,339,177,376,738,969,517,891,263,163,214,749,978,928,158,069,153,545,
856,872,079,217,893,505,484,307,464,783,551,309,813,606,782,992,017,142,013,
231,361,687,930,442,388,545,850,911,249,598,719,245,765,431,581,604,758,313,
120,167,207,482,231,425,131,783,500,481,446,605,069,443,616,987,047,389,817,
142,549,852,381,275,673,672,133,937,811,503,016,479,897,835,975,028,132,037,
620,976,192,164,418,033,631,524,644,027,887,317,294,132,423,147,208,665,198,
610,244,966,223,508,671,050,362,573,608,705,352,689,512,999,840,108,863,242,
118,923,574,178,704,368,516,171,098,161,386,881,615,195,989,547,900,840,693,
389,654,693,890,311,105,029,710,437,913,104,447,199,484,492,693,737,392,166,
887,234,990,997,199,607,704,209,281,069,154,719,920,037,390,583,617,147,955,
194,325,268,962,284,851,672,894,168,543,669,425,364,435,172,984,873,626,267,
952,208,777,972,216,351,075,641,422,582,371,098,003,348,537,342,526,914,796,
418,095,560,693,548,026,647,142,137,867,595,389,639,928,917,907,204,568,867,
192,359,357,426,453,782,267,281,969,856,585,798,083,089,309,983,340,471,410,
661,112,188,962,316,915,760,425,150,587,743,747,282,825,862,888,764,884,252,
944,214,328,558,160,236,349,170,423,589,519,025,882,526,826,375,396,284,443,
141,447,240,055,825,162,637,478,362,792,673,463,818,902,920,270,378,429,824,
875,999,024,270,864,741,510,151,160,682,027,270,010,177,828,554,999,258,368,
601,665,041,513,387,759,963,453,833,187,085,190,014,954,488,140,799,908,102,
212,341,586,402,715,078,203,583,954,729,509,128,271,064,833,075,410,130,424,
666,159,501,796,477,175,311,474,679,603,748,436,757,769,989,623,983,007,873,
736,983,080,695,998,135,591,034,992,034,662,191,426,294,410,831,186,350,907,
075,839,656,933,946,078,280,486,912,809,166,495,580,528,033,664,752,360,837,
985,284,274,011,564,149,064,977,892,290,421,447,005,766,999,351,585,853,275,
268,150,430,393,063,817,670,319,573,120,982,360,947,405,978,948,585,276,460,
529,234,083,024,159,265,685,596,606,133,318,701,169,843,096,322,599,109,825,
200,982,087,569,842,403,821,698,528,385,286,566,178,681,729,983,821,982,796,
458,276,528,451,960,231,814,225,598,637,361,579,820,093,263,090,983,999,342,
622,132,505,722,206,495,007,472,191,483,566,411,520,885,699,506,482,847,909,
358,685,750,890,726,430,480,920,946,934,910,090,542,590,463,725,541,106,213,
069,165,362,811,090,753,499,204,667,288,349,047,720,508,002,247,279,359,955,
981,942,029,348,746,421,630,691,755,050,724,819,809,602,235,533,536,990,876,
103,055,324,470,434,341,308,865,559,667,318,471,482,595,593,818,348,509,982,
562,856,764,187,344,304,194,133,961,706,594,083,730,934,025,464,687,369,452,
810,243,462,779,957,693,452,990,179,875,327,571,568,662,588,074,630,900,587,
497,536,564,306,543,252,169,327,192,420,854,217,026,456,524,014,090,324,855,
200,818,420,529,826,178,671,506,514,850,435,246,870,030,809,348,428,252,743,
312,272,144,373,794,690,984,453,423,949,963,272,812,406,476,216,572,398,696,
564,834,641,722,851,729,177,412,543,665,907,275,344,910,144,363,418,361,554,
206,078,385,358,945,398,323,072,509,578,205,470,006,378,547,390,945,931,350,
855,698,560,650,827,656,712,893,654,712,299,211,995,311,792,934,772,501,144,
779,135,678,685,936,490,502,741,571,614,768,640,584,810,676,703,100,822,127,
076,757,934,121,938,735,514,259,308,855,514,648,133,792,121,321,655,814,950,
530,976,291,078,824,949,370,195,730,635,753,135,770,446,519,089,108,677,720,
784,124,196,848,766,241,300,491,066,332,106,849,297,247,432,900,032,000,694,
648,255,546,287,457,158,319,016,817,836,226,579,692,675,636,285,260,199,862,
583,046,335,299,997,441,605,402,436,939,270,991,774,197,485,776,707,929,604,
497,803,979,537,600,889,616,592,829,484,041,985,251,517,020,102,355,087,777,
064,042,593,600,967,166,406,975,798,377,250,218,622,584,464,052,122,516,308,
201,679,295,051,924,635,259,299,482,412,546,313,585,736,887,407,972,710,891,
297,795,068,305,466,700,489,489,065,524,789,602,087,595,909,991,870,599,074,
340,349,669,233,638,545,595,005,585,672,655,296,894,750,846,997,152,648,169,
205,378,726,675,910,521,360,111,921,554,853,343,104,416,919,718,354,288,056,
201,435,075,584,329,674,473,209,367,135,533,672,837,047,998,928,904,827,929,
088,556,275,362,222,242,552,618,002,798,529,014,125,548,292,858,254,873,130,
487,557,851,413,435,655,451,464,844,669,323,411,174,951,095,421,274,048,517,
928,916,425,305,881,607,681,272,696,411,669,668,618,685,365,383,516,183,030,
573,773,045,815,850,259,522,509,734,936,857,123,884,746,940,770,713,754,308,
622,716,010,732,276,746,171,780,302,412,833,688,038,476,572,568,365,057,692,
631,516,454,189,276,004,699,755,245,173,069,613,487,828,340,756,797,794,560,
306,713,748,126,572,634,825,227,747,828,856,019,050,721,633,857,280,933,758,
236,397,692,091,955,570,487,966,016,382,216,939,975,472,491,377,183,712,538,
231,574,881,343,109,228,650,600,966,832,658,149,977,146,890,248,546,712,925,
092,567,068,465,940,908,285,259,864,619,694,779,070,062,178,997,432,366,816,
888,360,200,532,946,202,928,236,972,144,321,221,286,510,702,216,788,379,983,
938,209,610,628,350,705,774,205,440,750,334,528,339,999,171,272,568,164,577,
252,738,578,724,673,255,954,235,025,524,675,896,947,863,415,943,373,127,624,
841,737,484,978,917,611,898,346,956,540,883,197,724,330,496,614,841,736,240,
447,306,853,188,760,428,027,408,611,336,486,798,908,990,721,277,806,033,541,
147,792,860,004,704,646,962,261,463,457,319,844,125,830,672,991,029,186,795,
934,753,464,221,355,025,286,908,977,271,402,177,838,779,980,505,660,143,273,
997,187,991,103,692,680,761,453,948,920,577,935,894,110,492,530,678,057,570,
699,057,560,373,243,876,801,493,638,381,533,709,486,995,511,958,074,735,621,
689,515,281,445,694,151,958,636,632,798,408,223,579,470,692,944,348,699,212,
810,028,682,021,451,310,539,408,647,112,119,485,505,430,504,615,286,616,285,
761,104,518,893,907,760,354,586,550,087,854,702,500,035,727,940,024,603,222,
084,684,172,765,809,162,196,427,631,344,223,275,480,689,529,629,899,502,168,
210,549,164,613,182,835,326,822,830,496,810,238,936,643,646,910,038,928,348,
403,721,606,084,164,109,799,208,521,354,952,852,048,831,529,922,840,260,282,
749,595,342,134,392,388,483,461,739,748,934,763,394,145,913,240,474,037,373,
287,694,701,926,582,894,325,615,525,431,659,871,645,967,226,951,803,734,926,
523,609,233,735,005,872,760,219,492,692,871,941,783,308,649,967,344,245,056,
064,804,731,731,340,058,912,573,899,836,173,130,764,968,955,708,892,251,422,
381,538,025,915,453,693,148,747,956,710,350,672,675,312,487,048,423,975,657,
802,997,149,182,380,960,787,331,194,765,151,130,101,146,332,389,223,932,307,
021,375,655,192,276,981,492,033,021,284,906,869,338,527,206,305,849,402,375,
438,242,929,952,428,050,203,345,385,528,902,144,827,982,832,346,964,703,334,
533,488,949,664,592,353,985,358,219,899,605,989,424,342,340,659,165,256,210,
150,120,665,154,604,489,016,572,106,223,233,166,106,106,760,465,742,138,070,
095,453,283,272,443,707,884,790,979,617,572,569,769,996,966,053,985,002,405,
608,081,773,695,393,357,669,113,357,687,974,906,412,778,155,172,279,717,279,
605,887,265,751,069,361,067,144,232,620,915,664,652,579,844,548,480,671,861,
045,591,828,088,584,510,733,869,415,071,256,551,244,800,668,178,525,225,292,
515,505,408,378,873,628,823,117,757,181,064,130,488,392,780,940,415,847,969,
655,783,119,271,027,807,805,710,624,446,921,829,564,099,551,794,174,991,210,
104,720,305,895,020,277,362,428,696,236,727,807,379,494,982,848,294,358,049,
144,736,471,428,346,670,417,272,885,238,505,712,756,983,852,756,137,019,985,
016,885,401,864,553,008,791,370,085,244,873,613,282,473,340,513,113,408,474,
433,376,026,808,851,832,497,299,269,988,196,374,804,951,687,644,027,573,185,
620,072,023,176,470,017,983,457,818,921,380,120,667,713,261,600,186,800,580,
383,417,813,106,693,196,161,557,532,576,489,336,791,818,353,981,498,528,478,
679,198,425,414,187,586,256,644,807,904,795,887,319,137,863,104,981,741,251,
688,081,835,202,228,648,846,010,917,687,654,799,188,596,056,006,679,337,966,
515,595,300,351,701,197,481,407,853,428,230,314,736,933,955,128,233,358,100,
557,379,266,711,616,914,143,848,076,554,571,002,112,503,530,615,291,561,580,
608,182,705,007,267,449,694,694,610,955,587,934,641,249,251,186,470,348,151,
315,243,888,673,528,120,703,448,664,795,882,381,726,781,789,438,716,978,030,
914,839,480,562,250,715,038,975,689,076,920,000,332,969,837,571,332,483,484,
631,410,389,001,012,851,935,797,365,939,531,868,887,614,995,626,032,971,366,
278,339,921,785,337,523,762,594,001,017,193,097,733,961,359,872,501,157,404,
374,834,142,283,075,967,060,381,173,427,541,993,179,943,221,133,669,603,072,
848,242,242,642,145,936,323,354,181,898,214,145,421,068,748,990,605,340,816,
614,588,433,884,348,555,602,743,315,204,595,986,967,483,680,223,752,276,690,
708,815,384,837,488,875,910,113,999,399,927,412,056,613,789,855,865,548,106,
424,110,155,303,470,132,710,840,130,841,629,649,949,418,140,191,284,930,548,
140,458,224,253,504,593,354,762,129,410,221,015,412,490,160,735,867,085,334,
846,378,495,831,335,355,928,699,081,274,534,136,164,850,337,375,815,667,222,
053,648,624,423,512,915,702,772,594,501,773,428,695,392,412,718,745,890,796,
731,069,562,860,481,580,361,094,657,993,012,275,027,793,996,944,548,645,754,
652,538,496,659,958,530,577,776,194,867,170,074,179,194,024,527,126,487,478,
455,405,051,569,163,052,254,476,228,224,314,290,083,269,121,370,606,896,783,
288,270,507,462,209,660,270,292,123,872,069,926,559,901,374,061,177,770,312,
349,303,860,590,140,080,738,374,856,416,725,254,252,176,703,905,947,095,711,
170,752,595,078,199,467,157,504,671,034,036,674,532,218,075,530,427,869,405,
062,123,594,098,175,284,407,866,152,159,081,355,696,734,030,480,085,683,737,
913,779,905,176,154,692,970,363,065,650,261,978,122,343,363,742,115,638,446,
533,117,681,852,223,314,230,133,402,753,352,903,127,304,352,741,690,584,938,
293,446,511,453,288,804,803,503,729,716,563,336,563,448,875,082,625,175,145,
114,688,883,426,043,266,355,830,899,934,448,726,575,735,917,823,818,867,643,
597,971,486,145,608,502,732,500,078,532,631,688,839,230,950,682,492,030,025,
983,818,766,518,134,142,542,015,231,186,939,022,259,405,159,801,108,973,640,
550,999,505,106,426,742,217,248,334,128,073,642,830,685,857,638,564,463,396,
085,269,817,487,952,280,849,875,182,651,856,723,948,914,054,613,011,500,566,
608,683,467,523,300,627,386,505,587,958,282,074,771,064,492,045,683,353,665,
554,524,586,188,328,786,662,343,929,350,614,582,689,216,877,093,156,926,815,
252,426,562,890,563,123,541,883,117,593,200,693,725,786,691,483,143,794,619,
662,084,501,442,079,604,910,155,860,087,438,755,017,893,481,820,081,512,474,
499,152,097,716,808,096,686,145,922,119,488,836,322,442,027,527,031,849,307,
474,203,317,205,880,485,891,425,657,455,882,731,599,386,436,393,602,226,823,
157,508,304,705,407,577,153,889,380,498,444,383,608,350,546,692,446,862,640,
900,116,389,835,759,937,286,715,056,459,675,811,396,811,666,182,886,491,228,
102,706,273,224,304,263,668,343,018,776,123,963,634,983,053,378,849,642,804,
413,063,583,286,682,219,819,565,430,550,041,983,268,229,568,527,223,015,979,
375,002,761,109,741,796,417,301,700,280,670,127,158,211,658,957,076,536,673,
600,423,249,577,949,057,225,939,793,712,457,050,858,123,310,272,538,685,064,
693,587,242,536,151,377,716,231,664,098,401,847,914,242,783,436,438,822,699,
196,770,192,735,407,328,119,246,899,452,819,951,252,764,496,795,878,682,843,
148,003,162,207,279,959,759,678,831,000,047,780,574,304,563,029,261,795,309,
309,159,049,460,005,666,666,875,592,371,529,442,748,594,794,573,802,753,008,
358,508,755,738,444,195,258,494,075,988,680,490,315,125,431,668,949,348,472,
039,426,170,998,017,828,998,097,048,107,926,035,587,511,247,148,462,733,403,
780,210,663,634,148,601,112,744,009,309,080,517,059,934,334,271,915,078,655,
062,790,832,907,913,814,435,263,749,494,220,187,727,619,342,028,555,466,602,
910,741,323,835,163,187,986,728,652,987,055,061,904,299,832,173,590,593,012,
379,434,953,310,723,774,017,727,875,559,734,279,710,770,349,867,784,105,470,
322,868,486,600,555,410,755,020,945,272,233,515,480,232,051,053,294,018,664,
107,112,520,871,249,255,988,745,820,883,871,235,269,394,034,595,652,003,989,
755,883,969,409,249,993,113,819,971,853,448,865,896,919,782,622,628,851,094,
239,428,600,591,014,910,977,221,559,563,991,709,425,282,979,395,908,857,071,
555,955,073,802,204,577,610,155,529,717,637,656,095,099,514,829,944,427,724,
955,646,930,904,958,632,223,245,527,190,528,895,337,506,550,663,929,552,559,
028,256,428,326,076,350,621,617,333,462,763,753,389,040,913,682,872,382,079,
931,842,472,902,417,222,286,761,740,523,666,540,056,931,717,693,614,970,591,
353,092,546,076,293,503,822,993,476,871,180,933,758,716,621,516,276,636,540,
372,791,011,746,634,956,187,434,596,201,127,060,507,043,202,599,113,101,752,
432,283,721,514,402,393,632,167,394,670,742,318,087,247,894,833,633,992,342,
164,196,693,963,221,034,195,851,762,895,501,723,681,536,535,339,029,217,260,
375,743,718,489,740,286,911,783,303,484,073,106,892,099,519,790,437,895,123,
215,346,269,710,247,124,285,820,153,487,733,545,289,733,483,277,802,434,639,
213,034,715,434,802,238,916,135,462,794,615,856,702,217,006,748,552,439,522,
976,175,258,424,579,306,360,336,905,078,611,726,318,398,123,061,926,733,577,
732,618,042,127,903,452,373,432,385,105,370,959,693,998,080,468,638,472,234,
170,087,153,905,982,140,343,626,635,191,007,795,597,336,772,916,178,931,859,
551,653,716,030,473,351,020,094,859,722,205,249,948,160,895,997,115,086,205,
689,720,754,980,660,704,667,028,221,505,488,273,645,515,378,468,113,372,639,
300,195,058,976,032,959,269,608,143,112,963,876,529,680,463,862,502,443,116,
175,476,977,936,100,882,781,532,540,813,311,124,099,535,126,264,693,797,543,
924,230,324,316,603,052,594,343,353,674,850,724,692,201,729,567,173,781,308,
027,512,593,526,632,901,731,283,519,315,011,090,921,917,088,944,615,177,238,
118,446,459,378,743,737,467,711,998,584,564,312,901,602,977,634,188,822,936,
768,897,049,279,391,165,708,269,146,136,186,908,861,749,817,840,198,520,385,
218,025,813,902,673,170,786,513,901,815,889,011,035,624,895,279,898,673,312,
151,831,320,606,705,281,384,540,686,786,655,052,923,448,440,417,662,343,061,
414,872,311,022,172,060,552,831,366,621,250,781,185,487,895,464,215,697,845,
467,392,974,604,359,796,526,787,340,338,127,032,269,160,283,636,166,560,382,
892,400,580,111,412,937,335,987,919,971,922,872,025,554,883,456,652,242,720,
730,332,001,160,762,636,333,435,399,361,766,572,964,416,154,344,166,338,085,
451,835,465,239,513,990,337,672,070,610,957,015,028,336,588,183,345,968,055,
572,210,070,894,360,139,866,242,422,322,548,782,531,405,065,407,982,603,574,
624,059,511,256,054,395,418,064,239,925,728,038,054,181,251,074,043,359,570,
125,648,789,816,408,019,271,784,590,331,474,860,854,813,455,136,533,902,010,
749,683,102,913,162,999,361,886,344,963,384,598,275,912,667,977,642,775,898,
906,586,046,491,824,777,394,547,374,543,413,104,772,959,625,423,202,715,963,
453,154,724,960,198,932,353,335,206,194,425,364,748,466,266,704,647,258,381,
054,094,149,871,891,747,045,544,283,757,695,605,418,104,601,426,895,742,538,
649,794,662,071,027,272,170,753,262,869,421,587,742,124,248,067,398,009,621,
186,276,491,698,229,142,495,648,587,005,849,393,055,920,152,962,238,779,630,
452,267,632,240,778,034,815,002,431,971,048,146,850,692,639,540,207,875,273,
521,725,363,802,095,563,972,492,924,540,720,298,238,257,583,766,754,449,794,
055,582,262,575,705,633,800,092,949,384,221,583,999,693,324,069,687,465,600,
381,195,515,960,653,624,728,146,653,278,048,573,115,032,935,815,311,286,547,
339,365,923,764,516,885,156,057,718,708,806,105,896,992,302,065,367,674,940,
051,586,515,928,886,802,372,498,596,922,377,427,644,375,927,616,922,640,245,
604,524,516,161,091,387,373,302,308,360,102,369,336,405,350,756,542,136,143,
510,496,002,560,907,527,248,527,231,780,548,561,917,142,962,186,674,062,473,
645,986,317,835,093,141,068,943,477,856,873,193,039,502,949,946,595,541,861,
438,143,574,980,741,752,839,791,379,068,223,371,746,834,489,013,945,671,164,
128,090,364,508,573,660,886,702,316,908,501,846,566,144,701,417,692,004,487,
364,563,289,179,624,963,366,219,429,814,366,200,626,812,520,460,072,588,331,
511,632,281,299,757,093,658,819,534,598,252,605,581,662,855,001,796,583,290,
226,933,654,830,839,588,770,442,849,377,690,041,708,348,669,312,476,678,967,
816,839,240,165,686,893,859,912,967,476,763,704,515,969,980,458,206,529,545,
285,640,110,387,814,402,435,230,560,969,501,648,935,846,377,805,186,244,538,
072,651,401,367,081,955,075,200,634,993,407,120,462,428,950,800,035,843,084,
893,281,420,947,300,612,672,574,295,027,333,767,997,594,362,822,511,239,329,
828,207,422,720,097,083,715,268,563,980,113,988,123,211,422,538,816,642,523,
318,862,069,698,978,655,234,160,416,012,764,722,288,194,922,297,139,246,732,
958,935,116,537,537,108,666,384,123,702,611,147,979,488,934,077,878,813,532,
695,791,833,140,253,872,294,330,200,153,292,771,257,321,465,484,276,445,598,
592,288,325,177,454,453,496,065,617,384,098,582,254,192,127,043,624,169,875,
256,299,922,916,277,539,709,331,865,029,918,591,436,188,059,636,667,421,025,
479,667,441,952,018,706,180,132,209,822,645,317,358,325,174,489,503,807,173,
589,460,835,536,441,568,276,826,548,201,803,118,266,148,638,353,769,534,350,
054,264,797,186,145,320,587,610,993,442,317,629,227,631,071,043,634,037,338,
252,064,782,400,656,236,159,858,849,734,847,719,289,443,109,405,774,441,378,
185,337,230,128,281,446,884,280,921,756,467,325,977,050,948,482,926,539,593,
572,168,224,453,124,956,651,434,899,622,106,448,237,461,779,206,255,482,578,
323,366,018,160,680,631,876,591,486,102,009,492,553,367,298,678,075,392,198,
571,331,535,555,930,061,854,031,914,892,373,359,057,708,291,610,063,722,922,
351,508,237,563,819,297,222,434,429,424,064,578,139,653,830,582,265,622,177,
997,067,164,872,333,832,361,552,048,711,062,587,274,685,454,532,206,121,951,
662,662,129,193,403,360,634,546,589,317,865,051,801,790,998,756,647,809,427,
757,368,103,310,799,446,407,416,984,801,147,423,815,686,679,405,485,208,617,
207,888,371,911,979,259,609,535,994,349,403,655,000,542,659,495,180,567,048,
821,132,870,486,631,016,883,012,607,812,124,516,533,994,100,052,317,390,541,
809,859,154,657,285,149,134,612,138,196,802,823,127,027,207,148,451,589,030,
235,303,904,869,778,212,556,896,046,263,680,603,826,772,324,356,491,883,056,
195,022,404,968,139,058,443,424,130,751,436,256,907,272,204,013,645,406,622,
765,583,810,130,566,861,025,824,301,968,412,255,468,896,767,146,300,959,222,
374,679,476,101,884,886,961,887,345,953,719,556,093,225,216,002,543,474,027,
200,116,051,976,442,014,366,011,060,233,666,407,489,680,158,685,000,005,729,
168,321,195,467,232,606,803,491,941,860,397,977,914,338,359,070,100,782,321,
368,367,884,788,174,520,492,747,224,466,304,838,864,332,066,045,295,637,160,
486,457,471,012,590,069,377,321,514,586,829,518,728,447,372,623,013,261,519,
451,497,769,668,075,639,332,403,351,291,398,371,796,432,224,616,634,662,355,
312,269,219,141,777,815,410,585,226,166,466,113,447,149,361,157,529,430,587,
166,924,347,264,354,933,240,041,460,435,967,533,321,527,050,564,510,267,920,
673,261,096,722,506,663,647,286,995,533,506,691,621,939,825,813,514,964,200,
014,762,941,893,736,486,566,623,755,525,350,715,103,268,477,981,148,758,460,
742,204,163,030,432,459,170,791,432,571,489,801,061,739,502,570,138,777,410,
907,350,588,503,050,376,068,791,794,060,117,068,388,687,972,200,730,667,262,
331,735,769,858,728,454,203,391,205,858,350,169,060,703,385,766,374,636,276,
087,917,945,396,493,332,762,926,776,398,532,320,228,604,079,639,379,437,749,
508,434,854,712,490,694,852,528,177,343,017,408,848,267,466,065,437,787,223,
791,112,369,524,954,934,564,565,663,797,193,512,122,400,784,211,327,380,084,
593,575,164,119,526,914,639,265,163,896,948,313,470,163,712,837,105,064,998,
705,967,178,114,777,883,987,031,472,145,546,313,542,101,201,664,714,007,715,
436,822,582,625,014,845,807,120,770,392,040,479,156,401,587,698,519,479,118,
471,604,122,054,461,496,007,499,707,849,690,637,794,725,296,851,848,683,343,
538,108,275,718,082,236,039,867,441,765,097,275,097,109,383,238,566,444,880,
521,376,650,943,808,999,561,070,450,308,478,981,216,861,013,780,906,283,431,
058,498,488,319,424,124,496,667,169,897,044,790,776,736,523,125,470,873,963,
358,968,349,672,978,673,437,231,875,052,791,519,196,616,268,640,326,742,679,
133,854,027,526,470,584,861,989,980,025,920,970,683,235,440,773,481,398,044,
087,899,464,143,404,531,592,966,964,959,408,864,788,982,414,053,883,129,092,
079,715,667,215,077,665,755,181,911,469,600,617,641,733,952,927,651,548,156,
681,068,483,506,695,480,112,592,957,098,596,857,208,918,792,954,401,601,528,
272,284,644,905,641,468,544,673,376,021,613,741,345,927,629,415,223,115,535,
343,813,196,709,478,978,795,673,081,669,404,625,014,146,263,458,651,924,176,
708,707,457,543,354,063,607,735,459,351,613,936,259,890,068,983,032,070,749,
705,651,546,612,625,818,996,452,653,780,950,383,240,527,077,723,174,710,036,
485,723,319,979,921,793,115,632,039,907,376,428,087,543,091,980,043,937,552,
698,786,602,808,766,433,233,868,444,349,610,353,340,337,562,362,533,571,174,
381,130,902,343,687,413,131,724,392,157,289,196,326,969,606,363,976,996,260,
066,090,212,884,606,287,510,029,107,314,936,569,721,574,614,537,141,849,282,
786,734,348,196,850,794,420,684,663,703,972,482,214,480,119,629,189,064,762,
149,417,315,133,158,118,287,326,261,244,332,027,252,636,320,460,305,537,939,
260,905,806,811,917,183,155,496,427,616,425,920,422,584,174,328,059,136,653,
921,262,893,522,122,187,170,112,889,515,936,743,547,531,565,486,352,073,027,
772,547,304,370,601,863,020,814,055,983,071,956,470,074,384,717,933,244,913,
788,706,141,769,191,461,439,395,094,022,125,118,463,523,465,980,384,593,123,
775,836,776,975,185,093,872,119,602,613,049,164,071,986,226,122,406,497,205,
695,292,555,071,931,994,542,607,306,170,552,616,108,767,454,573,746,551,324,
680,900,335,674,775,614,954,556,851,354,167,553,178,843,921,676,215,368,324,
674,483,866,314,275,528,424,822,783,751,951,754,773,532,043,183,552,278,347,
541,264,008,070,920,513,488,090,787,708,838,305,737,021,413,448,240,416,114,
827,395,564,253,188,902,490,728,273,484,093,906,946,909,771,697,736,942,156,
892,519,977,374,464,686,379,466,468,255,460,874,338,478,459,531,750,313,802,
140,969,419,682,220,833,034,206,585,857,796,273,172,076,824,177,312,154,355,
406,317,852,594,502,357,951,460,920,430,468,535,498,632,720,790,826,397,906,
473,399,599,602,009,963,961,022,745,296,684,181,047,078,487,838,225,218,465,
956,666,672,475,509,880,665,789,845,790,881,250,257,381,533,796,005,760,397,
562,500,198,875,990,541,088,890,336,840,249,906,530,982,638,763,761,682,631,
936,186,077,463,345,193,949,117,346,912,095,813,076,156,345,574,581,318,477,
885,708,491,443,517,327,899,213,454,392,902,651,228,495,614,519,276,551,245,
091,645,583,201,449,165,114,692,519,151,713,844,427,461,548,059,727,619,398,
994,029,526,218,518,394,832,507,509,649,882,442,119,055,237,972,452,161,906,
217,765,710,552,314,995,864,831,558,816,334,419,151,130,038,395,440,186,177,
499,323,980,421,408,845,902,557,701,517,970,015,010,923,246,456,072,491,188,
654,450,945,090,034,530,931,331,316,065,601,858,688,149,390,829,264,550,001,
046,765,390,009,699,366,600,274,198,924,457,636,571,626,515,785,974,250,127,
942,418,187,284,701,786,268,806,128,533,976,300,646,250,008,922,889,152,984,
787,377,680,097,902,788,980,359,370,887,639,397,451,785,403,467,453,703,477,
695,940,325,262,056,479,493,638,219,416,614,878,295,718,999,194,369,236,213,
797,943,884,106,736,143,148,517,578,450,565,841,288,120,134,862,321,629,457,
188,637,392,797,560,058,433,314,322,834,772,931,360,861,083,696,631,276,405,
621,691,575,261,908,125,611,595,837,656,659,692,110,584,286,440,169,259,713,
415,371,915,493,827,340,469,108,049,986,008,305,092,731,621,960,632,637,195,
906,626,496,944,441,547,560,113,504,627,827,885,445,968,496,150,284,800,073,
376,531,607,922,583,184,153,166,876,584,089,141,844,048,469,903,538,986,786,
762,003,720,373,899,543,014,862,379,135,098,804,765,719,295,348,298,121,656,
917,585,423,219,807,851,650,278,104,612,222,565,707,638,009,421,842,655,510,
245,882,439,286,703,217,683,181,601,497,213,456,648,853,546,048,910,901,844,
254,548,167,564,142,214,558,471,023,377,516,296,509,621,878,551,198,845,051,
583,264,508,040,744,755,236,284,173,137,760,235,808,465,996,788,725,349,624,
014,442,907,276,351,148,194,253,697,129,639,170,824,136,922,630,662,974,541,
788,796,963,493,503,892,314,593,407,934,945,494,839,744,394,532,162,135,565,
238,488,319,589,826,386,138,841,145,376,029,412,168,898,620,540,147,908,351,
874,361,946,190,956,946,597,562,964,702,010,930,937,440,569,727,992,883,664,
524,066,027,415,251,622,300,380,850,155,988,955,857,471,722,561,621,692,722,
454,165,738,327,675,285,325,737,117,004,225,126,424,635,751,604,542,308,976,
724,242,151,168,043,910,741,650,763,814,798,434,910,855,336,251,983,494,069,
408,713,169,912,804,469,162,210,494,886,468,576,810,279,801,471,689,558,130,
324,081,289,126,515,842,394,689,243,667,159,119,137,062,859,575,620,576,097,
667,093,355,834,782,258,968,854,973,333,868,847,577,899,544,623,795,744,450,
372,933,474,885,177,817,195,087,701,167,939,168,760,816,722,757,295,875,968,
564,514,388,259,186,736,835,639,344,429,702,508,681,965,312,511,625,915,763,
788,432,706,737,574,460,929,354,433,840,062,558,341,980,585,480,509,778,701,
983,959,996,588,734,550,223,528,877,129,473,218,831,082,707,459,326,403,801,
328,496,263,072,053,699,805,672,349,066,996,803,597,744,881,892,772,029,429,
448,805,425,515,417,629,014,578,317,928,310,976,571,380,784,607,110,776,036,
884,656,682,227,550,854,599,503,711,014,958,594,191,694,512,418,537,681,958,
536,849,172,887,860,344,160,053,013,638,975,893,534,272,568,129,025,397,052,
069,951,945,449,658,060,520,585,087,078,737,524,372,357,368,450,061,599,325,
369,175,467,956,533,095,921,967,582,966,040,470,109,539,850,314,359,607,691,
786,909,599,016,090,480,494,295,064,536,510,889,518,201,746,016,517,757,385,
542,473,999,064,806,793,914,749,516,256,421,836,852,998,515,209,746,104,143,
619,771,066,034,126,077,713,278,498,106,790,505,100,732,446,221,549,834,579,
058,329,286,058,037,873,184,901,519,093,786,124,667,226,461,591,194,740,438,
298,667,863,282,249,365,193,572,047,959,158,180,395,707,548,969,667,872,383,
692,668,564,792,318,315,729,366,521,564,577,502,232,734,141,563,758,982,556,
022,485,427,616,529,395,213,825,682,557,090,245,659,373,934,040,169,044,324,
569,133,188,922,012,151,260,218,397,424,312,189,527,504,248,246,834,373,241,
453,402,479,566,350,791,998,705,141,148,807,741,575,337,238,500,806,807,871,
823,676,185,740,267,521,902,003,976,022,717,484,510,594,723,338,595,671,407,
582,344,383,611,518,440,106,567,368,947,143,315,346,077,054,149,612,829,425,
551,395,179,930,390,938,645,485,276,035,179,011,093,578,555,870,755,606,602,
701,914,827,755,256,623,367,457,260,905,636,341,588,187,650,939,261,460,212,
370,109,900,066,962,422,949,924,372,675,247,567,700,225,884,688,545,925,932,
556,689,599,764,378,379,878,951,905,140,895,784,150,325,305,740,567,476,337,
724,928,257,146,710,944,095,653,056,584,516,803,441,501,696,488,589,531,707,
211,001,530,622,279,006,118,368,558,622,413,198,641,659,349,864,539,107,521,
901,872,200,506,702,276,155,487,617,412,756,862,808,352,851,861,421,747,328,
245,838,205,251,490,092,708,556,544,256,206,878,323,805,721,857,543,768,000,
635,059,779,994,718,422,535,648,635,115,219,924,739,823,189,020,000,903,324,
585,287,752,049,333,506,053,368,610,280,729,016,086,420,386,861,153,367,676,
395,790,360,577,127,927,915,860,734,190,475,314,724,779,335,926,534,134,076,
147,726,294,235,426,553,876,820,113,272,255,415,304,498,384,936,363,531,483,
950,578,227,390,233,367,340,941,051,694,099,053,534,736,328,109,474,639,973,
642,993,813,328,887,388,524,534,317,850,813,766,690,016,145,024,632,388,607,
835,593,946,581,789,882,518,074,021,903,960,906,408,293,548,504,661,480,118,
685,391,923,157,529,044,357,714,186,154,580,505,716,348,216,773,898,506,935,
742,371,320,295,390,463,359,998,123,662,882,472,424,509,234,294,831,385,154,
408,319,884,225,532,258,425,887,269,393,786,226,043,274,981,705,461,885,169,
357,549,265,606,684,211,390,243,448,509,036,852,194,396,181,334,108,327,731,
545,624,595,276,519,322,515,016,537,714,744,489,411,026,807,183,470,734,753,
760,553,777,772,686,633,184,024,175,358,561,808,259,085,603,754,468,068,876,
221,521,598,858,341,825,868,728,045,084,158,250,181,426,368,304,174,208,025,
106,731,913,689,387,069,644,146,111,186,107,814,027,775,949,455,968,652,739,
995,642,468,146,660,681,360,539,257,733,648,056,195,008,933,230,315,974,091,
409,689,528,677,394,221,024,403,687,464,127,795,149,885,906,980,367,942,012,
983,904,966,979,776,458,361,171,164,443,244,310,921,353,846,239,519,603,804,
218,819,585,008,260,687,497,477,835,168,986,327,122,465,921,394,172,819,866,
969,154,908,862,334,336,520,563,661,073,390,503,166,849,524,585,532,472,375,
853,394,388,225,084,592,427,253,731,363,787,088,115,486,723,175,110,467,470,
080,788,121,984,649,827,270,526,224,636,467,946,420,518,008,030,616,894,641,
436,894,433,812,652,317,244,224,420,411,743,684,172,477,166,988,028,487,940,
277,192,806,660,005,393,194,330,801,461,896,926,467,641,453,260,696,712,143,
902,380,520,317,485,058,754,493,190,879,343,067,596,210,054,964,926,277,104,
066,107,985,231,718,016,662,772,325,962,629,901,275,041,288,604,565,318,286,
140,200,813,472,218,864,071,617,854,130,757,839,020,432,109,921,783,750,406,
429,637,931,310,131,354,299,012,655,669,979,447,372,667,486,597,063,263,400,
370,410,644,716,272,446,826,395,041,472,274,452,964,666,342,105,008,312,533,
114,496,864,487,528,139,528,410,091,235,375,270,229,740,172,690,945,824,584,
307,319,995,410,125,355,101,634,687,582,335,423,865,922,386,032,076,602,915,
616,389,861,553,610,679,451,326,251,570,824,055,269,155,428,498,629,149,515,
969,789,417,098,716,855,676,427,769,732,461,393,606,025,136,880,324,677,564,
138,535,138,428,871,527,651,361,594,802,921,366,143,943,359,049,498,432,880,
670,910,650,879,122,479,564,654,322,096,511,308,482,526,814,362,402,499,537,
514,311,997,138,053,078,171,764,168,073,516,931,657,841,499,809,801,303,191,
691,804,789,729,226,062,992,183,862,622,338,079,017,499,917,084,435,309,808,
511,653,267,295,206,964,055,319,883,991,635,843,357,560,468,900,227,538,847,
860,079,410,903,618,304,214,362,930,851,987,291,942,358,425,214,822,794,139,
690,382,424,090,913,832,564,414,483,333,401,939,552,479,368,574,606,478,244,
058,117,990,232,602,326,724,153,511,243,116,531,605,468,161,136,104,550,186,
981,418,100,521,311,019,121,125,730,805,397,979,342,953,320,017,416,909,631,
801,262,549,079,457,509,684,972,946,350,264,552,757,025,705,440,847,772,893,
513,128,395,915,683,077,175,346,855,195,612,710,339,895,956,731,512,701,508,
968,892,969,900,494,858,133,297,233,789,114,470,261,279,525,963,840,250,216,
881,615,701,012,220,159,661,324,401,099,704,437,996,612,537,607,125,336,838,
753,150,474,706,962,490,696,278,605,926,304,481,963,454,660,572,156,761,262,
514,942,710,193,828,452,068,660,721,275,778,402,773,527,727,805,572,154,241,
722,465,012,030,891,107,546,230,570,985,438,504,835,692,431,436,855,999,248,
166,154,512,633,616,039,217,658,464,564,678,962,580,894,291,194,399,522,150,
304,601,219,935,029,311,132,077,198,797,694,421,426,135,425,988,837,554,216,
443,712,398,017,593,514,784,058,799,986,244,058,445,323,251,811,657,996,831,
516,380,442,955,207,928,554,524,464,287,257,743,429,546,321,953,412,135,764,
232,058,500,124,040,204,965,597,420,982,811,564,599,271,399,019,361,507,315,
710,733,285,929,269,311,256,812,703,325,344,449,800,265,453,068,382,121,052,
255,169,532,068,316,517,477,270,191,532,966,927,033,875,853,056,333,086,571,
016,197,310,150,461,025,230,275,174,066,631,411,685,172,584,659,981,403,541,
951,285,424,123,562,636,945,717,406,949,538,388,186,002,046,706,230,317,425,
667,494,747,796,875,101,912,581,238,909,587,851,641,406,098,786,581,773,077,
475,857,666,891,174,177,380,928,578,109,856,955,082,479,879,651,324,510,681,
022,309,663,721,359,371,001,626,222,219,837,755,429,122,946,175,348,819,422,
634,358,209,462,894,591,812,634,046,913,199,932,624,055,509,364,810,504,705,
786,698,197,775,312,093,342,567,703,820,030,655,083,239,979,498,139,439,437,
596,690,325,155,086,806,953,336,264,047,934,856,894,707,603,131,730,610,489,
704,838,861,429,582,485,638,491,108,684,059,735,851,779,231,818,803,400,036,
910,215,975,521,674,473,912,288,057,303,710,079,396,538,001,659,982,245,630,
852,110,921,091,874,923,076,627,323,663,724,053,861,689,642,338,220,214,721,
612,033,148,949,102,694,271,915,434,431,346,247,682,964,681,795,661,173,207,
732,005,903,998,983,491,314,017,778,841,515,775,568,621,799,437,594,188,351,
309,006,586,450,503,736,130,350,650,367,264,943,821,472,866,819,510,036,159,
242,873,081,064,034,060,747,122,998,725,471,792,951,364,712,991,934,007,755,
371,608,796,512,567,309,120,302,899,171,441,612,512,517,185,304,704,051,896,
964,879,203,718,699,071,341,883,058,011,745,508,664,709,365,811,645,925,071,
540,271,376,586,821,941,716,416,931,638,045,914,692,521,475,042,510,436,815,
403,361,209,725,314,108,349,883,172,448,201,576,093,280,614,137,064,669,109,
619,169,249,079,754,447,689,457,625,057,053,196,356,562,893,913,276,535,219,
465,763,510,340,800,954,308,120,727,857,548,876,526,192,869,576,278,662,815,
861,415,599,745,475,041,833,763,445,810,505,328,357,966,106,067,440,228,669,
954,054,147,683,184,292,411,191,191,608,412,477,180,386,924,635,688,498,065,
459,710,260,543,127,173,292,300,567,104,963,010,195,897,046,927,768,528,754,
630,184,018,175,867,882,736,131,603,992,021,791,361,560,794,139,805,644,866,
363,249,705,374,078,875,072,648,090,586,442,273,168,612,553,783,807,782,335,
605,491,151,296,967,090,083,603,274,535,844,749,197,769,302,575,456,872,811,
905,873,260,145,508,016,069,061,420,682,861,725,095,339,195,162,067,502,017,
517,707,018,569,706,500,625,438,591,211,288,343,789,073,610,400,843,539,768,
675,554,306,995,187,724,132,754,706,895,005,919,083,709,131,246,486,092,663,
775,376,795,465,314,637,407,585,463,560,975,360,075,002,365,484,662,283,774,
428,846,435,751,676,763,109,756,817,366,867,742,457,542,529,476,646,285,946,
468,915,656,292,168,448,361,867,400,279,727,389,609,827,505,126,669,652,274,
652,329,628,028,329,109,547,231,983,515,928,401,191,094,471,797,577,827,010,
797,476,790,406,721,133,268,364,315,364,780,121,644,775,684,566,443,619,855,
983,107,189,428,732,274,520,203,624,676,535,581,587,019,138,088,895,465,376,
051,216,927,780,515,170,776,481,391,015,504,984,589,462,559,514,501,856,045,
135,258,603,626,441,622,441,985,936,580,197,514,006,325,648,038,562,579,296,
302,678,951,106,098,373,832,864,435,446,350,651,685,698,934,625,557,698,070,
248,972,696,704,779,249,771,445,360,110,792,927,845,233,387,638,699,092,279,
791,384,067,880,693,804,260,572,247,683,866,369,001,727,872,064,985,539,096,
520,340,398,091,690,104,974,308,019,911,340,068,042,442,179,044,635,990,308,
077,527,250,165,378,434,795,587,161,492,623,122,933,089,913,995,144,073,962,
135,339,919,800,825,046,821,848,654,459,654,961,349,854,689,149,623,953,943,
239,036,417,822,560,006,904,089,700,709,291,977,311,940,958,513,768,473,913,
134,960,757,371,826,240,754,928,272,442,233,730,476,737,771,670,346,764,358,
749,735,213,925,590,978,017,268,057,647,832,821,547,868,678,907,036,638,806,
846,011,939,372,642,153,490,470,412,040,023,933,278,962,524,688,106,828,738,
180,235,196,207,990,942,559,129,127,567,979,051,227,656,284,902,858,849,817,
282,601,596,529,902,045,172,756,769,239,907,138,656,012,129,889,969,369,272,
052,265,972,701,354,130,461,677,411,959,358,854,992,886,196,938,314,834,207,
154,892,181,992,193,349,145,209,166,397,820,507,315,917,363,644,812,123,809,
147,006,320,054,393,331,167,475,887,048,370,255,747,469,430,198,688,171,504,
408,176,642,851,897,036,829,161,360,564,355,300,010,240,193,381,934,399,585,
058,739,418,652,024,091,962,639,330,533,077,118,012,178,562,903,002,539,367,
237,016,922,768,267,979,657,530,014,850,059,842,455,607,193,726,507,323,299,
548,639,806,416,828,539,638,100,150,901,815,444,923,107,779,014,284,838,793,
440,274,248,799,285,039,265,802,906,864,651,280,842,231,721,012,210,633,475,
874,838,337,916,987,842,571,089,837,672,221,667,361,051,788,834,446,306,253,
257,567,742,404,774,142,128,062,793,980,644,017,364,191,061,929,636,605,268,
279,722,653,079,923,211,334,026,745,825,302,499,820,533,932,381,085,704,934,
708,047,165,748,680,848,281,874,167,596,948,970,106,117,234,148,074,187,566,
490,223,533,780,583,974,150,284,354,553,779,708,448,854,728,434,110,531,790,
500,480,060,292,655,234,592,759,453,003,330,032,758,631,843,328,498,148,374,
171,976,990,148,194,599,662,115,098,209,287,396,954,887,938,504,809,239,948,
404,449,603,100,476,418,819,719,402,409,759,047,829,205,077,030,068,858,462,
959,737,368,723,348,655,815,276,645,826,677,714,973,915,739,919,110,663,122,
380,698,599,574,126,778,639,266,787,648,398,521,039,585,600,261,608,703,450,
282,568,254,860,408,637,324,080,103,102,262,399,745,761,406,846,586,397,136,
186,443,904,061,722,241,602,033,161,109,237,708,596,852,904,573,125,006,045,
837,193,809,681,758,586,637,856,312,347,015,615,364,143,978,541,183,584,546,
849,892,692,810,156,356,395,705,760,581,020,194,984,526,779,131,454,509,823,
277,815,560,725,135,944,803,487,457,892,091,601,524,372,124,650,290,647,163,
978,537,338,516,744,251,976,223,930,171,201,150,833,137,145,362,378,209,216,
111,132,776,686,689,088,395,972,102,351,045,024,176,936,740,906,177,250,235,
763,715,194,733,902,166,700,797,227,684,858,366,557,215,324,571,162,046,684,
850,589,979,870,102,001,620,816,189,335,349,360,213,944,216,029,425,702,332,
726,000,539,719,292,512,084,703,599,702,674,262,093,588,003,290,657,976,581,
306,159,189,265,016,618,747,218,263,279,355,328,925,225,805,230,399,733,094,
913,726,199,751,176,691,546,465,866,965,597,975,029,359,578,037,568,579,107,
409,446,779,442,759,518,208,201,666,399,110,926,501,989,207,755,066,811,467,
346,356,113,556,189,143,953,857,614,483,495,295,222,278,012,534,859,414,945,
429,430,497,226,514,673,950,945,135,855,484,564,323,592,725,240,310,800,503,
691,805,405,727,711,301,740,552,804,709,236,670,334,866,263,663,734,114,784,
666,977,525,354,109,657,199,216,544,630,221,932,530,183,984,685,773,673,652,
439,667,200,444,344,774,112,624,379,223,184,165,617,272,415,797,970,737,830,
649,607,107,145,909,557,574,453,951,078,116,360,275,072,206,153,258,889,303,
177,919,961,916,933,383,046,986,689,750,038,499,884,683,138,707,366,809,601,
153,012,677,221,152,870,627,484,824,496,085,617,372,103,376,472,939,601,834,
559,026,402,612,094,225,544,019,332,860,046,431,023,300,777,091,599,919,182,
205,640,898,834,947,299,177,620,589,872,967,719,844,387,389,414,375,418,476,
109,046,910,576,868,342,599,782,168,845,185,269,981,854,209,916,062,666,567,
301,171,720,573,866,230,771,267,898,372,847,122,197,095,075,197,681,004,480,
071,686,780,671,570,002,975,230,127,975,394,791,466,285,832,851,203,407,092,
226,963,466,751,184,543,835,268,970,196,828,090,717,713,373,971,368,329,769,
289,115,849,710,179,983,712,425,526,336,318,537,137,629,590,323,228,953,047,
883,477,126,844,785,251,059,284,955,855,448,274,156,697,135,173,712,741,620,
200,794,521,572,571,206,935,635,219,188,213,576,758,807,420,314,586,975,766,
227,272,061,310,837,005,573,614,048,632,400,051,857,537,464,439,211,360,718,
557,851,712,170,563,706,810,464,288,211,545,335,557,432,205,332,685,736,336,
123,109,398,313,004,167,513,425,994,069,944,217,826,853,869,290,576,420,129,
817,827,649,961,198,782,626,386,179,425,595,527,991,726,022,166,279,444,659,
142,482,025,101,462,132,471,943,236,049,085,615,517,912,073,106,311,483,213,
044,513,723,184,554,140,919,647,253,159,573,330,176,635,723,642,079,660,778,
592,676,870,768,001,884,658,122,221,476,687,962,057,290,489,100,373,635,137,
050,997,260,821,155,202,422,866,139,036,171,208,679,726,601,899,156,144,738,
781,501,119,698,996,324,852,798,963,843,718,754,881,038,205,780,238,693,434,
864,971,587,651,596,623,520,869,595,466,276,354,884,206,920,124,592,336,296,
883,529,864,971,103,600,953,363,895,019,325,102,147,527,159,413,033,104,286,
937,991,974,116,201,313,076,919,795,830,146,015,552,133,687,374,128,826,105,
080,520,688,827,224,703,241,119,494,335,400,214,409,490,049,976,760,172,219,
368,701,083,897,484,478,671,626,800,299,567,249,730,724,041,311,732,075,345,
795,013,569,630,229,756,029,484,749,305,387,975,856,263,569,847,119,657,733,
613,057,257,226,168,516,568,340,102,556,621,253,852,971,742,357,681,964,587,
775,557,645,718,039,791,834,758,049,483,436,489,937,147,011,594,487,319,098,
291,141,040,408,534,847,477,381,041,598,569,190,381,824,960,177,558,083,391,
886,387,737,829,530,380,412,504,185,837,512,219,455,129,160,816,459,583,811,
314,762,557,274,283,157,103,762,209,083,583,712,193,403,055,459,053,888,623,
395,931,736,563,102,948,314,463,895,227,142,827,344,343,815,788,684,537,901,
020,025,235,821,718,865,670,097,660,842,014,797,647,969,405,390,351,825,855,
102,226,342,928,160,536,135,730,937,943,092,853,909,370,722,532,467,364,608,
215,375,044,832,863,325,496,004,446,343,963,371,929,956,232,820,631,405,946,
773,656,578,038,677,609,589,266,335,335,273,447,157,567,797,092,039,864,945,
493,851,873,262,076,869,441,323,663,947,607,541,847,828,414,118,792,315,797,
968,433,781,451,713,256,275,047,786,612,677,815,212,399,868,906,653,322,304,
055,989,913,238,334,615,713,756,769,155,937,684,426,022,606,661,571,165,347,
849,194,107,981,016,910,422,693,902,180,163,942,750,427,106,216,026,383,431,
666,428,208,702,733,781,255,982,135,082,659,427,730,701,045,890,988,869,796,
868,926,100,123,822,491,386,763,025,806,580,550,860,029,824,997,780,263,127,
800,650,201,338,564,092,840,637,937,581,269,395,566,390,146,026,612,937,771,
830,967,308,887,091,893,394,255,815,178,758,009,034,554,599,630,982,585,318,
969,851,777,718,556,441,942,725,451,772,687,795,414,571,420,730,224,570,533,
960,365,852,960,944,825,706,199,933,319,426,710,956,821,482,257,570,925,854,
844,708,342,553,737,920,031,149,521,716,109,294,505,778,643,786,361,045,140,
346,853,452,082,303,254,299,912,690,044,421,951,535,649,794,897,827,669,762,
390,329,854,731,480,860,630,122,762,327,859,349,192,859,058,864,559,552,922,
017,560,085,104,489,333,053,324,523,407,473,090,813,344,095,824,215,107,292,
304,545,676,169,519,216,378,291,349,878,515,051,613,445,204,358,547,516,714,
660,037,143,538,903,298,798,264,307,992,770,243,574,307,819,947,045,013,079,
267,080,636,086,416,555,370,567,728,275,309,506,715,178,745,759,656,266,272,
186,737,306,386,607,153,622,388,698,373,870,939,081,512,714,961,444,691,262,
982,672,943,456,315,077,823,197,227,531,578,791,258,244,728,801,454,498,618,
331,094,512,830,587,078,323,893,283,466,617,227,244,291,036,447,251,471,006,
924,829,058,442,088,491,662,397,156,978,838,273,357,152,575,119,625,957,253,
151,941,886,135,610,685,327,980,589,997,045,738,745,102,324,268,465,625,794,
054,311,801,724,090,321,697,604,920,541,279,026,670,467,209,976,036,290,456,
450,526,983,184,797,993,075,779,732,080,730,144,054,874,335,206,553,495,240,
562,038,065,320,316,825,864,507,394,569,957,049,186,222,064,605,224,089,373,
180,627,341,516,055,379,666,501,291,010,313,593,551,583,609,170,005,796,714,
890,125,914,134,039,835,296,641,667,353,531,294,747,019,169,012,703,159,668,
891,491,264,777,414,585,894,526,995,963,933,252,095,139,268,425,124,281,106,
465,326,306,976,071,394,164,291,718,439,493,610,438,246,449,249,525,540,010,
091,014,837,871,220,522,672,048,631,371,151,230,185,306,176,290,432,272,316,
207,529,518,333,280,168,767,179,718,789,811,767,595,719,210,201,743,267,646,
010,805,391,663,409,745,952,050,548,793,533,139,232,008,092,567,382,833,868,
240,394,828,464,117,720,160,809,548,818,625,967,702,455,722,956,847,288,186,
168,073,987,174,588,281,215,044,795,223,616,299,635,764,146,335,631,327,153,
747,829,132,765,165,439,943,281,612,812,805,283,122,041,891,771,960,048,443,
989,159,865,606,175,621,233,416,196,755,535,585,376,860,793,890,163,142,691,
868,645,971,384,062,881,271,093,916,894,807,833,509,954,844,874,382,359,677,
629,682,933,925,240,034,917,191,654,742,459,400,859,659,415,072,808,785,525,
999,463,173,801,240,927,316,178,004,080,877,204,385,273,975,926,523,316,138,
261,020,296,046,033,671,655,297,774,142,793,723,045,127,166,202,537,851,015,
759,725,899,331,199,618,950,761,614,571,955,971,604,484,946,860,938,173,810,
645,401,364,256,163,359,109,847,281,808,228,247,496,835,577,808,883,715,524,
221,656,493,820,424,996,882,363,112,028,198,265,117,143,257,645,548,299,938,
911,836,839,028,998,619,992,975,283,409,766,789,861,407,396,087,246,181,099,
249,454,708,758,406,421,351,321,930,303,392,482,558,758,114,140,773,530,735,
916,655,832,034,222,879,315,944,084,337,469,123,607,013,377,274,421,790,548,
762,182,393,197,373,225,996,487,040,378,503,340,355,016,496,721,426,258,914,
573,167,305,199,923,852,195,673,724,092,428,504,173,868,008,786,795,004,016,
948,383,798,423,432,094,197,219,510,493,994,514,808,561,605,984,638,102,884,
082,455,092,053,270,658,621,946,733,053,434,224,167,036,762,134,853,455,690,
842,717,154,691,911,815,328,785,679,718,807,411,861,865,304,537,091,756,933,
061,141,351,370,918,326,212,192,820,798,989,285,419,671,282,782,139,952,994,
410,346,368,440,432,345,476,516,231,337,587,278,720,574,343,331,840,363,691,
381,777,495,806,936,864,726,992,495,489,562,937,561,558,439,038,650,781,351,
943,390,372,191,120,630,109,891,160,898,825,658,777,624,651,306,660,210,308,
274,662,846,446,966,884,318,789,637,423,039,775,123,671,661,913,388,032,278,
126,206,087,508,592,182,480,490,472,457,284,517,688,701,512,741,657,736,915,
208,002,598,979,448,149,205,572,341,094,003,001,601,529,441,967,164,517,482,
874,337,975,195,558,948,270,668,560,161,284,762,305,824,963,107,525,019,520,
503,072,371,457,230,349,536,370,047,736,426,573,971,812,332,568,601,451,086,
849,256,353,922,143,420,593,323,385,467,093,004,823,301,086,793,088,161,177,
631,178,968,115,697,170,997,649,921,032,193,869,964,236,185,286,130,767,200,
978,935,631,281,187,141,720,058,862,447,471,556,933,791,535,088,599,021,362,
351,242,178,712,535,918,136,208,150,491,032,898,088,483,961,443,137,774,659,
308,140,160,865,939,114,727,829,471,512,808,462,555,351,793,081,670,402,475,
853,456,805,890,544,623,483,813,113,759,896,292,727,037,866,478,408,927,869,
703,228,188,605,329,280,473,662,004,910,119,086,601,442,075,762,829,729,850,
635,078,419,058,096,727,379,143,263,704,226,639,817,572,210,827,532,867,788,
206,594,632,740,548,128,740,492,304,554,938,441,132,767,513,147,403,109,712,
139,907,148,725,375,493,945,229,478,899,169,854,905,868,781,645,991,588,904,
161,848,016,352,822,172,913,104,367,506,048,970,628,056,548,388,705,608,574,
865,359,740,719,187,699,803,019,970,921,757,944,378,028,619,823,505,143,543,
789,609,209,006,074,838,219,581,042,799,916,490,093,850,637,692,462,136,612,
132,063,984,852,418,325,255,462,687,596,190,175,495,731,942,783,007,911,188,
552,511,665,760,974,500,716,785,575,752,205,835,210,259,070,445,999,127,657,
808,805,157,243,074,307,785,924,910,946,684,185,579,910,757,372,365,164,833,
018,365,382,437,677,439,960,214,864,810,860,761,193,869,309,514,358,489,260,
753,391,646,658,802,616,544,026,687,683,985,882,046,913,314,552,092,180,487,
893,982,114,559,579,839,402,482,801,777,046,316,409,337,626,658,561,730,368,
737,739,255,589,550,014,664,642,140,240,252,094,874,924,343,968,196,940,008,
763,954,668,131,371,956,787,888,930,665,691,676,428,696,721,334,509,390,605,
450,396,941,635,834,820,846,257,476,462,591,165,457,475,948,181,938,544,153,
087,195,299,113,934,066,950,008,259,492,901,047,310,581,701,459,074,440,780,
457,455,099,532,551,813,074,947,566,533,070,549,509,046,620,586,581,483,684,
389,940,009,111,524,370,916,914,698,020,609,305,042,286,635,197,479,769,659,
468,104,854,437,748,531,668,612,316,727,778,810,675,545,650,264,543,399,087,
824,220,807,254,242,475,436,431,833,571,333,949,198,097,707,077,944,671,481,
913,984,554,641,450,774,509,931,783,084,224,310,786,082,956,648,557,334,667,
512,319,978,947,346,703,316,953,086,514,071,746,691,881,438,569,616,952,763,
047,319,927,820,501,262,814,998,214,769,883,740,222,308,594,479,636,021,598,
195,652,863,600,081,130,159,306,773,606,450,858,967,640,550,257,128,940,629,
149,886,666,896,720,239,717,690,324,531,068,254,585,261,880,425,071,195,177,
670,800,821,655,226,293,445,531,586,904,652,264,506,439,706,454,620,406,061,
923,033,679,435,804,339,348,551,477,701,559,984,823,524,921,358,871,805,279,
873,025,170,974,563,246,941,617,733,837,792,760,435,467,780,419,457,692,520,
466,344,680,883,763,803,923,710,900,797,279,431,713,833,109,624,839,994,328,
604,219,315,798,061,829,421,495,564,469,200,644,176,254,434,426,658,133,345,
668,546,576,053,150,128,168,597,051,273,404,477,362,763,849,395,560,870,391,
869,881,159,929,566,734,169,002,261,894,498,343,588,485,203,595,565,815,674,
708,068,952,626,135,733,358,358,636,116,189,124,574,158,278,780,261,376,716,
919,294,597,786,955,356,434,957,166,061,532,775,032,553,036,404,678,825,681,
924,122,455,094,702,956,151,040,431,718,490,342,924,121,987,780,590,581,831,
614,385,820,906,581,927,566,057,564,425,998,540,967,211,910,873,075,941,920,
810,410,376,696,513,370,721,335,407,253,375,118,385,880,193,887,175,381,917,
914,706,978,943,669,201,714,393,845,694,900,984,161,802,421,910,181,867,018,
121,608,425,759,063,275,456,586,525,810,536,869,759,806,038,438,203,776,569,
071,296,976,462,551,739,164,111,963,242,349,399,313,199,873,998,701,694,472,
882,652,942,371,774,970,879,730,283,878,280,072,153,623,432,644,391,975,908,
931,723,275,236,382,387,800,652,763,830,681,011,503,964,823,068,053,077,689,
998,962,511,043,040,333,666,122,807,672,118,649,625,701,445,065,834,327,271,
061,684,961,454,573,793,188,820,631,261,347,193,348,008,367,327,696,842,395,
930,142,485,815,444,570,024,924,222,759,037,858,986,324,982,776,715,015,333,
708,366,729,712,580,621,413,617,806,380,333,344,233,744,626,269,714,923,330,
748,378,424,010,637,528,075,542,817,646,839,931,078,916,296,578,571,097,713,
870,972,079,643,381,213,010,004,620,146,772,957,547,220,746,052,145,468,937,
441,004,512,030,784,728,527,894,563,873,098,827,990,780,723,465,682,422,460,
132,076,424,487,490,283,309,221,316,948,325,365,614,162,436,549,157,745,075,
210,770,891,858,301,171,463,225,694,212,467,741,995,599,483,666,813,188,166,
602,980,206,872,523,613,924,620,643,578,334,803,794,708,587,810,223,105,854,
649,185,675,929,249,374,143,345,082,618,427,946,876,489,280,992,973,248,708,
114,530,107,838,111,436,181,796,092,470,288,134,944,934,878,270,543,558,171,
553,738,655,093,192,426,381,542,194,553,647,510,289,316,612,833,765,200,681,
162,942,547,724,368,199,775,463,328,921,872,998,543,347,896,406,351,757,433,
884,930,266,440,426,769,512,482,986,175,729,192,632,852,028,087,168,082,416,
890,315,805,894,640,687,017,946,485,967,794,968,046,684,902,515,133,222,115,
508,983,511,753,417,099,664,745,231,914,601,989,434,566,687,203,805,734,042,
451,961,181,374,565,113,230,105,685,539,506,505,330,982,546,842,364,129,042,
297,844,326,378,781,244,137,649,980,374,163,828,310,968,543,253,195,039,204,
037,445,566,356,226,472,952,048,111,291,461,424,753,663,905,624,647,432,046,
048,269,746,334,420,864,791,905,498,422,693,155,671,035,948,830,943,610,012,
784,308,602,696,293,124,212,225,273,562,830,863,921,453,621,247,983,282,804,
515,914,735,505,126,799,375,978,832,867,772,306,724,848,631,451,014,483,737,
360,237,844,853,504,061,376,789,650,978,328,252,491,527,274,292,283,859,661,
633,730,927,531,190,986,348,582,588,743,572,719,337,690,886,218,313,881,995,
299,553,014,213,057,678,413,730,112,382,685,276,464,529,290,524,908,070,687,
054,179,136,796,098,913,135,436,712,660,116,863,479,112,715,252,033,743,203,
133,896,779,542,014,317,481,177,093,338,086,882,187,393,682,057,848,425,450,
174,515,411,659,709,880,529,083,618,122,743,925,438,512,588,103,557,617,122,
125,998,577,556,570,451,159,111,817,583,934,375,796,378,549,677,401,874,319,
060,704,035,990,746,757,247,726,424,440,699,282,316,926,278,651,743,004,668,
785,150,994,024,977,432,512,508,401,537,924,666,835,660,929,277,201,885,418,
787,878,546,225,549,564,773,038,735,418,034,977,532,697,199,018,218,973,004,
500,895,527,974,025,481,854,485,356,398,448,972,129,943,475,065,467,231,758,
770,119,842,439,467,288,896,096,116,279,406,469,113,718,482,766,368,767,416,
920,337,933,110,926,312,724,407,818,822,373,807,743,150,808,099,750,026,216,
862,290,309,314,803,437,690,609,694,025,383,435,936,639,992,394,567,386,240,
165,976,417,704,635,828,271,131,750,617,073,508,075,226,790,148,374,821,886,
767,133,709,427,312,719,083,235,307,248,883,792,110,685,557,527,603,164,120,
720,771,977,850,450,221,445,973,965,915,672,970,325,423,833,444,164,340,199,
397,679,685,183,622,260,620,560,436,072,478,212,759,264,383,836,691,015,895,
862,140,720,684,556,788,439,612,215,291,950,953,090,184,223,540,798,726,025,
913,041,499,166,432,054,032,128,650,389,725,585,385,030,283,597,494,300,803,
516,021,629,076,641,460,085,379,135,054,490,292,522,293,480,431,310,377,157,
936,151,682,649,496,842,753,513,086,212,617,169,361,984,038,354,144,692,628,
239,658,333,679,367,395,662,988,465,680,984,105,607,982,524,420,208,002,771,
125,681,996,282,810,842,147,964,186,879,584,487,012,728,097,950,076,004,364,
263,739,405,320,428,043,482,172,400,007,179,948,916,416,351,857,723,808,858,
801,379,265,708,356,330,467,599,766,664,626,605,439,698,573,381,986,140,772,
043,810,092,943,415,963,896,827,847,563,263,606,894,050,197,700,811,969,425,
904,233,010,462,187,557,212,546,953,288,604,996,107,748,390,038,628,541,443,
917,666,696,567,175,224,139,592,546,507,115,427,850,391,350,895,186,808,663,
398,274,759,798,510,964,853,061,788,688,881,104,188,063,372,714,065,336,321,
575,003,089,446,481,879,502,249,706,904,575,921,884,118,770,043,685,133,003,
467,040,907,181,822,366,989,502,722,359,343,533,936,374,189,569,421,678,131,
742,028,360,140,334,036,461,048,012,332,044,383,333,678,199,138,984,357,929,
014,133,423,560,165,626,656,737,094,341,266,892,388,365,849,185,112,908,254,
749,738,236,771,631,507,807,093,627,258,307,203,206,173,178,627,464,098,494,
451,243,873,126,458,181,492,774,382,605,038,334,765,191,037,848,657,364,962,
751,686,504,282,289,426,015,711,497,953,641,638,381,741,714,655,935,066,797,
575,335,775,342,932,593,387,156,932,900,324,141,398,261,107,807,742,624,745,
154,172,463,319,341,582,360,254,500,802,070,271,595,949,800,650,594,937,582,
240,170,620,602,222,763,155,158,305,224,366,418,485,724,907,284,577,725,531,
265,729,077,386,019,487,895,962,597,515,551,246,450,036,650,400,882,770,796,
293,731,521,505,078,938,989,247,958,081,215,173,984,319,535,096,386,494,440,
821,454,013,480,041,905,690,345,943,916,282,708,747,274,971,410,406,536,278,
096,002,157,345,290,261,520,686,549,680,395,153,206,147,184,937,658,145,991,
108,234,440,603,964,360,310,746,509,067,313,418,946,579,408,044,592,768,329,
655,400,124,277,294,645,015,105,722,485,387,501,891,804,292,047,165,154,880,
943,106,341,648,614,858,991,834,107,994,776,716,191,713,234,596,355,030,289,
114,413,091,440,607,251,418,053,834,213,573,866,441,410,864,352,311,927,272,
046,894,350,123,143,656,770,557,040,829,338,455,791,217,900,218,980,296,052,
867,230,787,815,233,957,270,798,163,682,406,727,639,932,760,172,331,555,094,
685,675,258,887,257,906,349,306,307,607,267,018,444,018,156,831,331,369,008,
389,921,742,038,617,931,856,947,230,490,130,265,158,568,668,599,887,667,747,
273,459,332,719,483,998,311,057,036,503,913,533,663,790,487,354,576,257,706,
717,678,890,621,720,943,914,410,268,586,587,052,225,824,695,488,558,762,606,
457,607,161,804,298,422,789,795,353,704,913,804,452,502,254,531,765,856,445,
678,171,677,311,715,366,030,202,972,148,712,300,899,810,822,062,262,650,848,
125,436,611,641,250,742,221,077,957,080,996,640,563,335,988,985,822,760,797,
731,771,646,989,134,472,438,605,077,209,037,311,417,246,101,648,889,212,763,
806,043,261,110,631,382,689,620,673,087,619,960,113,335,932,605,334,775,209,
219,404,294,599,536,844,708,757,977,650,838,505,484,051,743,849,725,927,182,
041,448,508,261,993,298,966,934,360,830,009,106,972,666,334,053,769,390,622,
107,540,723,743,874,095,652,840,211,624,414,420,524,578,493,759,935,784,324,
072,197,075,567,807,182,685,172,385,983,032,145,561,284,060,170,752,540,012,
276,023,193,859,593,012,251,682,179,472,532,106,569,948,330,263,411,157,387,
214,365,017,139,110,948,976,683,595,605,189,522,147,836,047,435,425,140,133,
507,060,261,890,433,315,269,814,952,739,029,976,013,650,855,400,152,914,695,
531,025,364,266,010,866,589,584,614,565,691,596,954,631,055,327,952,990,263,
324,480,448,168,531,463,158,448,488,899,290,537,859,349,080,784,256,276,890,
484,754,229,453,070,111,672,701,299,927,203,258,134,272,055,045,252,168,015,
653,957,069,369,306,750,840,481,211,171,645,217,113,275,881,698,185,445,597,
422,320,019,650,200,228,085,131,625,139,231,965,196,709,481,064,320,583,628,
643,386,969,021,859,747,110,655,575,028,958,041,589,963,469,111,411,177,634,
231,417,630,289,258,032,206,366,679,391,059,957,512,199,346,990,145,396,288,
912,864,693,943,981,239,245,651,486,308,259,119,277,379,354,178,322,116,865,
365,692,217,863,635,614,756,657,136,115,638,718,062,419,183,646,115,525,202,
881,629,914,299,401,670,207,424,033,080,290,972,925,412,213,002,965,284,834,
970,999,875,559,287,859,629,965,077,649,285,863,563,508,284,160,123,065,315,
872,231,397,199,800,986,797,540,752,334,133,711,299,609,442,915,297,221,135,
967,668,902,866,659,619,884,701,315,449,348,563,956,249,685,351,227,783,484,
509,504,753,490,115,920,680,664,340,259,982,133,698,162,433,347,424,939,809,
045,794,247,236,062,741,513,452,632,622,721,100,402,681,307,879,274,307,266,
996,462,899,741,827,963,693,139,349,050,967,386,152,287,964,599,889,832,935,
077,728,382,870,689,491,502,762,202,768,446,582,287,587,526,465,162,339,810,
309,929,454,738,767,153,610,033,601,456,354,774,943,300,437,645,557,961,455,
162,634,760,469,669,258,939,384,140,747,488,476,218,752,961,844,828,482,965,
266,997,910,185,892,843,709,374,457,230,047,460,540,812,015,663,451,528,904,
260,272,601,477,322,396,150,623,445,542,964,589,343,662,544,537,177,633,005,
711,618,249,710,702,712,089,013,448,124,523,887,529,943,146,403,859,636,161,
332,889,963,555,259,097,337,653,688,856,218,569,021,807,331,563,736,375,949,
145,213,551,063,416,432,383,778,124,914,558,719,279,948,645,979,986,393,223,
441,030,516,161,463,163,293,434,037,075,744,265,618,354,589,326,167,461,431,
096,662,866,967,892,342,491,086,241,853,606,347,436,767,597,469,219,875,888,
411,261,326,221,365,195,973,834,710,748,122,021,810,839,439,378,184,576,405,
927,159,289,915,695,201,900,335,258,862,385,543,791,815,275,058,095,340,272,
608,882,966,380,401,846,160,513,829,792,570,604,886,755,481,706,521,014,830,
639,156,621,757,995,926,707,485,938,658,613,820,280,791,720,733,087,673,196,
556,405,981,298,673,727,713,210,465,423,952,495,444,092,562,083,868,805,028,
557,899,680,343,708,578,565,440,373,190,396,247,956,392,764,720,232,509,530,
936,908,779,823,954,581,970,686,057,618,732,328,058,502,811,996,888,476,500,
490,937,268,818,703,410,433,548,797,834,105,974,787,361,353,439,787,004,388,
459,178,491,036,048,841,684,740,571,363,674,151,275,901,684,877,889,030,512,
215,233,907,394,009,310,856,021,832,152,791,534,363,379,539,631,306,798,923,
391,564,347,745,217,237,806,448,736,067,243,314,809,587,112,470,549,406,189,
333,012,424,114,420,390,288,678,641,464,372,019,057,818,350,263,496,236,693,
416,435,647,364,808,886,156,486,539,218,787,475,339,050,030,432,416,938,923,
611,728,982,903,191,114,639,491,854,424,701,542,069,416,102,940,612,748,572,
270,065,365,647,152,595,994,426,186,809,683,636,096,146,591,139,182,512,317,
098,610,714,684,139,732,001,966,209,445,160,600,202,097,623,406,532,326,615,
190,993,993,349,060,599,492,388,029,905,168,181,522,911,343,329,394,433,658,
614,605,282,919,285,340,697,729,157,136,216,028,224,440,556,584,653,832,950,
526,115,702,807,944,331,852,266,909,268,213,556,884,781,542,808,500,631,488,
952,679,669,649,169,848,337,313,078,110,896,334,134,217,915,938,752,130,027,
771,172,631,815,551,500,865,501,348,573,358,147,382,283,498,896,002,242,941,
450,981,542,790,393,209,436,686,128,734,545,736,871,186,967,395,768,414,811,
866,576,709,976,006,987,669,623,673,911,959,516,967,628,373,389,449,742,003,
152,721,129,838,406,094,966,080,593,457,409,436,874,092,726,390,908,372,242,
459,560,156,847,219,036,170,812,323,258,607,384,133,410,421,036,506,939,818,
053,267,332,467,309,107,232,215,563,629,755,627,104,420,529,939,584,766,846,
072,794,488,395,785,445,739,654,462,841,259,128,196,564,033,342,868,359,618,
211,266,697,299,272,151,920,286,700,182,684,092,251,326,132,460,054,092,484,
002,861,781,651,267,279,888,780,208,563,599,259,612,380,408,458,825,150,604,
798,130,027,169,394,504,165,524,577,155,964,770,934,670,295,622,628,528,248,
735,817,269,976,622,831,728,379,267,002,844,873,915,070,546,853,600,673,520,
989,640,608,477,560,708,324,304,721,510,393,079,736,921,825,580,317,230,215,
387,234,972,879,971,339,756,552,788,464,373,100,158,514,099,177,262,798,142,
378,806,450,312,301,802,874,560,412,642,090,964,845,728,713,151,841,321,108,
606,914,717,975,675,035,493,149,555,663,665,079,510,618,765,316,454,684,993,
612,172,155,633,716,590,993,566,299,439,954,329,423,245,069,523,809,129,672,
540,129,360,013,520,866,762,612,318,628,448,692,391,429,946,478,261,799,790,
380,442,891,396,139,441,553,881,470,693,993,659,522,504,647,751,164,085,388,
775,512,490,536,040,147,129,356,027,461,802,391,806,064,177,221,015,957,589,
586,615,406,617,428,103,205,769,882,180,150,165,204,935,499,373,607,594,634,
103,425,226,345,274,793,033,757,981,448,456,409,998,419,246,346,871,765,743,
083,200,866,887,421,073,077,289,315,438,027,191,779,245,197,492,069,784,033,
639,025,927,012,213,363,450,508,453,592,162,156,672,702,840,426,532,390,116,
515,539,731,252,232,825,394,513,283,099,235,498,850,534,440,082,627,566,947,
194,236,198,670,361,507,121,796,097,216,413,025,267,188,745,926,009,230,456,
613,420,455,778,415,211,150,256,430,847,473,332,063,314,077,553,730,310,766,
690,878,770,317,423,931,968,756,630,696,830,732,901,705,940,409,500,989,857,
384,476,874,254,694,662,769,023,458,910,846,496,769,867,516,614,868,622,116,
053,498,168,014,743,751,951,394,621,768,666,932,795,452,357,249,417,422,790,
780,075,654,678,569,436,235,248,452,501,743,643,751,132,303,684,153,889,854,
425,794,641,430,762,963,732,763,951,445,414,581,292,316,745,894,936,388,337,
918,769,359,951,471,704,144,201,059,478,909,761,864,341,428,904,756,317,979,
660,261,467,332,259,372,024,503,646,403,316,942,673,720,475,025,615,503,476,
347,456,611,455,862,644,374,524,268,723,886,126,489,792,677,660,854,909,252,
532,185,344,757,357,551,773,841,273,514,933,661,200,263,183,230,470,315,476,
125,492,678,806,029,183,754,886,774,329,884,117,065,272,203,018,168,509,298,
861,335,413,100,044,902,632,159,248,557,515,139,462,647,951,243,186,878,625,
214,504,268,577,593,206,345,794,901,129,512,448,420,190,989,440,499,521,034,
862,898,408,814,755,195,801,216,126,679,045,349,374,392,850,224,049,049,988,
398,968,803,087,543,029,332,665,349,246,038,385,558,795,539,481,993,483,243,
216,733,336,644,676,923,272,043,466,300,050,633,156,653,477,747,561,536,217,
837,190,744,910,303,076,240,029,126,352,000,377,579,873,681,070,313,183,568,
025,998,485,158,659,077,502,848,329,088,569,632,769,756,569,482,836,833,453,
729,353,001,002,747,305,037,200,972,821,245,933,451,930,578,506,997,668,897,
136,331,253,485,205,206,359,558,839,062,245,809,744,374,476,121,100,316,569,
815,601,584,689,615,642,029,122,447,916,834,535,826,298,241,538,424,577,830,
983,530,188,968,280,249,098,668,441,679,546,368,310,865,936,394,986,316,679,
570,367,201,922,660,320,495,539,192,793,632,609,861,157,471,690,591,029,708,
923,616,953,037,296,290,603,428,994,874,654,574,490,071,253,600,222,023,751,
113,708,801,881,955,228,262,238,072,540,705,805,500,241,924,891,418,591,446,
915,948,123,890,144,713,345,360,934,636,078,790,519,697,973,768,879,392,794,
257,302,144,405,538,905,810,336,471,940,403,503,062,533,343,349,419,275,402,
040,331,767,373,604,134,469,765,049,961,943,444,855,913,820,327,851,673,848,
983,510,381,809,662,190,938,470,603,716,045,362,252,686,213,868,999,070,833,
627,541,615,618,145,011,600,542,388,656,763,909,752,019,778,218,686,176,689,
795,177,400,780,854,287,589,156,171,430,177,119,171,922,950,174,412,915,523,
817,870,640,476,086,838,117,300,004,707,921,898,977,491,311,359,149,167,595,
424,248,211,641,827,578,880,505,366,521,343,599,159,547,454,412,210,277,393,
896,885,556,648,100,006,982,785,813,139,369,947,628,169,216,174,644,470,642,
191,467,509,107,835,856,592,219,410,781,742,747,221,980,279,477,714,471,247,
901,423,515,451,705,058,480,530,000,750,089,374,550,903,390,810,215,291,923,
156,830,746,220,501,088,413,920,835,653,358,354,823,160,063,082,752,414,252,
598,735,136,527,081,756,219,931,073,841,225,625,168,476,141,137,096,817,405,
131,598,646,914,991,696,454,090,837,628,313,332,192,771,474,458,589,857,656,
368,894,945,917,295,608,388,838,532,317,429,386,010,564,404,915,046,944,090,
953,215,336,619,745,406,785,440,151,996,795,690,036,423,875,942,518,660,234,
452,487,107,398,119,012,915,748,335,233,880,438,211,375,617,389,625,740,436,
806,418,124,525,572,685,554,004,666,330,436,407,588,599,841,500,392,405,192,
167,152,212,457,032,832,158,816,343,592,553,351,261,581,637,025,082,054,706,
144,629,313,559,682,163,563,084,531,744,466,629,124,712,997,412,936,256,030,
479,700,347,533,793,199,803,731,323,658,000,687,147,062,431,588,255,355,095,
974,755,962,676,063,049,254,385,252,932,412,511,285,993,394,490,753,175,580,
976,776,317,944,055,882,738,644,669,493,632,724,595,841,096,150,549,688,077,
586,085,174,819,775,539,246,320,219,718,615,805,483,246,522,925,050,936,104,
285,012,328,010,427,638,894,072,290,827,582,537,335,377,672,650,746,534,944,
296,086,311,602,950,440,404,074,909,496,861,554,182,394,628,785,390,840,279,
115,889,743,326,901,798,915,171,940,099,941,904,944,518,325,358,615,049,919,
579,412,728,788,549,611,017,834,240,249,362,093,678,429,020,570,948,715,845,
868,758,703,148,600,872,314,904,636,440,958,408,689,262,057,957,295,379,429,
307,202,628,916,050,891,737,324,998,900,023,915,569,645,314,639,643,457,850,
020,778,957,523,878,843,346,175,094,313,818,679,564,538,403,754,152,039,025,
520,291,321,743,776,055,900,925,281,959,566,976,506,663,102,435,899,221,518,
918,547,108,898,393,646,124,733,531,662,547,588,240,703,932,672,097,990,437,
227,356,743,204,474,665,337,071,222,093,430,706,957,512,308,346,417,135,570,
519,915,642,376,894,766,809,479,589,284,890,322,491,980,653,187,796,823,981,
885,312,769,665,815,006,008,490,197,177,871,812,394,033,432,041,813,198,155,
452,713,531,167,403,845,698,204,221,382,828,052,321,953,974,725,185,939,420,
523,337,134,482,545,139,242,406,409,976,886,201,977,472,047,107,844,458,069,
159,651,519,948,525,382,201,563,960,831,342,902,807,342,291,735,001,963,889,
470,099,567,512,796,818,168,622,557,881,410,431,777,278,029,202,434,567,849,
642,760,787,810,821,558,688,560,339,929,849,554,810,923,683,622,819,322,175,
406,734,279,365,614,539,264,394,078,420,511,999,841,186,708,541,444,888,517,
650,363,379,879,957,339,113,852,478,568,083,725,165,254,483,641,337,222,428,
883,422,414,427,838,119,214,581,428,601,442,437,935,637,531,606,005,490,885,
561,377,394,421,913,450,514,052,338,352,967,874,919,605,062,236,110,370,913,
562,719,400,503,242,037,922,453,026,521,495,128,578,042,751,929,533,797,097,
276,290,336,500,952,249,016,067,951,497,223,559,524,067,513,402,627,441,432,
677,957,185,760,418,777,659,298,191,358,269,831,497,072,506,909,440,806,260,
446,596,460,898,400,152,519,700,994,317,973,410,700,630,784,571,169,171,467,
829,699,811,412,806,663,734,469,149,238,850,255,886,384,862,834,852,510,574,
150,181,653,551,575,628,433,099,554,438,038,672,698,599,884,084,171,989,011,
085,587,082,732,013,051,339,169,987,327,166,244,574,147,877,012,163,927,648,
833,830,192,943,673,165,179,299,351,339,998,779,297,753,638,376,160,928,684,
387,495,140,881,301,830,334,683,217,306,141,652,707,594,113,146,606,206,547,
861,976,805,993,977,763,952,298,401,683,735,453,174,788,640,480,455,498,690,
658,256,832,885,539,972,983,366,520,527,056,374,763,519,121,726,341,787,978,
175,639,081,269,074,267,277,524,343,589,786,292,590,801,291,920,592,564,719,
899,926,827,369,606,665,802,018,326,149,605,720,720,739,560,858,975,532,272,
029,456,405,580,165,174,093,827,890,894,771,102,538,106,299,616,831,304,644,
068,717,328,632,270,824,749,093,211,041,403,809,298,749,040,820,152,632,512,
404,803,307,401,830,801,101,571,051,974,913,194,582,964,936,270,888,173,556,
936,629,143,220,428,725,872,203,070,237,230,781,613,516,475,025,603,043,090,
797,838,444,197,135,007,276,250,628,786,141,989,226,866,740,152,878,431,836,
201,098,703,286,310,908,073,749,183,295,802,601,265,497,027,405,726,733,484,
504,712,210,894,952,840,469,569,445,561,699,552,929,428,105,597,385,520,880,
532,392,041,590,536,407,068,947,078,496,590,603,705,843,018,506,751,651,237,
561,343,824,560,701,991,924,270,651,010,822,350,145,401,744,428,234,043,649,
998,560,998,255,183,939,574,945,833,020,600,517,934,571,171,529,012,453,556,
426,141,808,635,618,755,531,118,259,869,414,801,299,789,207,816,360,938,773,
098,307,972,424,973,280,406,019,887,049,549,547,969,509,159,695,770,836,411,
041,399,051,865,519,354,847,828,334,675,961,623,395,125,767,341,337,353,481,
460,372,678,734,641,055,322,288,219,082,911,325,859,873,598,103,265,039,048,
208,541,669,028,713,870,379,934,337,039,554,956,868,785,678,312,057,778,692,
180,434,670,480,558,396,950,334,157,260,640,722,278,393,278,206,220,312,854,
811,113,960,322,832,502,865,578,443,793,751,765,676,970,631,923,244,825,426,
800,502,287,027,422,665,269,790,845,559,361,934,481,483,239,657,334,530,661,
905,411,399,758,360,463,976,067,639,276,573,316,291,172,564,162,330,860,170,
763,851,155,823,907,772,427,478,228,086,486,749,895,991,834,416,834,482,475,
293,243,239,394,116,753,131,450,416,636,402,374,187,854,034,314,389,640,812,
367,940,813,459,458,135,853,171,432,725,637,982,738,643,060,057,131,426,542,
629,311,215,266,830,453,575,218,359,645,236,218,782,027,866,915,536,896,672,
486,099,989,435,820,687,165,673,331,283,259,843,668,523,417,043,763,082,301,
247,229,042,578,973,812,275,231,680,574,476,494,281,132,652,461,663,465,447,
914,359,408,593,264,922,619,199,562,563,865,322,409,099,413,071,087,533,709,
589,426,878,221,205,249,277,697,076,294,189,104,145,883,286,036,972,840,213,
932,859,462,660,883,090,050,121,965,686,130,306,334,850,024,102,523,954,853,
106,937,568,006,620,589,493,674,606,734,887,687,126,150,010,607,862,707,550,
045,734,482,018,563,273,882,281,730,464,345,661,616,949,215,514,050,644,772,
367,610,983,723,455,919,269,544,874,098,357,050,950,996,804,894,889,368,044,
637,314,674,487,884,837,410,086,604,772,541,815,164,387,859,420,393,217,482,
706,165,091,127,678,339,213,567,186,366,634,252,930,563,316,767,933,253,720,
139,526,410,316,763,555,869,246,938,805,769,486,181,748,683,043,904,776,892,
320,847,504,271,891,476,472,160,139,644,821,935,464,202,181,190,910,722,045,
491,364,201,279,238,472,295,569,684,174,962,543,459,415,515,689,510,998,726,
936,398,330,437,193,290,452,164,490,019,117,737,751,611,145,092,500,110,704,
535,660,621,244,758,660,865,302,347,801,946,166,728,576,315,390,797,963,461,
285,869,086,272,851,608,073,418,226,178,539,804,235,654,473,063,458,522,466,
306,226,912,983,460,641,809,958,126,726,177,611,894,396,456,127,583,727,318,
674,018,211,165,687,929,174,983,176,068,072,486,708,615,004,900,516,634,099,
071,987,385,581,775,254,599,002,129,381,894,270,349,919,147,792,430,909,464,
459,231,767,577,197,042,743,583,919,923,306,225,051,349,958,290,058,871,779,
161,827,679,862,315,910,387,709,115,864,221,969,371,945,349,617,128,472,312,
336,637,423,288,402,237,696,473,073,270,770,883,391,367,141,605,065,507,636,
189,444,655,272,693,019,108,797,175,794,156,782,408,438,703,954,779,906,898,
426,862,539,076,882,181,479,345,554,261,861,330,639,036,190,084,162,676,829,
791,424,974,098,404,810,929,503,501,943,454,203,504,329,606,361,360,695,679,
706,161,850,294,934,035,723,847,272,685,200,265,285,044,672,732,410,147,022,
096,166,088,222,209,405,006,699,777,338,246,848,728,196,817,761,482,065,206,
940,856,808,134,469,202,958,912,679,480,101,413,274,245,759,736,957,222,918,
915,709,546,590,671,075,924,480,345,128,488,380,901,711,637,903,658,409,574,
068,224,412,107,805,593,041,372,554,542,211,938,327,249,804,523,369,475,090,
003,520,584,504,233,797,733,510,558,827,327,981,354,639,578,321,826,346,957,
033,731,360,032,735,491,788,967,964,658,504,841,310,682,777,265,789,142,561,
453,750,219,000,458,697,053,936,920,472,245,882,942,257,701,954,675,340,545,
214,421,061,446,307,653,071,635,731,591,752,397,636,009,800,614,202,301,312,
701,946,292,092,238,200,548,769,358,896,048,127,886,965,946,934,561,420,915,
861,842,920,110,821,462,621,148,696,804,599,018,420,969,187,118,233,876,863,
436,298,254,767,785,423,353,704,268,530,214,284,103,683,439,536,042,100,677,
400,103,576,634,774,708,051,612,750,118,504,272,675,251,111,782,088,160,953,
116,332,226,286,145,645,469,470,461,443,818,368,965,203,850,715,516,879,112,
112,508,075,091,441,419,180,069,736,794,510,567,133,135,455,253,757,213,851,
642,598,449,057,977,944,326,385,439,743,041,061,688,435,582,315,458,147,676,
096,693,506,101,929,622,504,148,718,804,960,825,773,052,494,457,307,397,839,
727,626,608,402,846,328,993,114,278,889,780,374,196,937,388,670,724,667,695,
573,477,721,973,014,686,382,016,810,815,474,226,724,506,583,495,257,965,431,
032,177,001,736,726,261,227,610,830,709,816,052,113,187,331,980,622,071,106,
357,632,095,873,781,566,640,821,657,819,416,409,051,199,697,920,475,279,153,
506,526,447,003,494,849,431,500,633,077,325,729,269,113,381,161,546,334,686,
561,590,237,431,818,061,343,809,377,014,438,191,687,206,196,977,284,566,064,
732,866,864,714,508,099,064,820,899,594,714,979,472,790,569,939,240,133,644,
350,308,668,927,600,064,143,925,511,411,739,041,321,537,288,597,620,437,241,
427,586,333,904,206,644,272,193,189,401,928,811,543,874,873,418,895,699,629,
139,085,134,654,033,006,480,559,514,734,630,831,380,593,479,909,786,394,273,
168,074,838,457,563,995,417,365,669,405,024,831,893,312,703,356,170,766,655,
137,039,393,624,125,692,614,630,026,432,925,848,530,266,903,661,404,313,645,
800,685,596,013,012,245,973,082,438,347,601,255,204,642,735,711,029,672,140,
718,218,950,256,667,996,388,315,394,135,126,737,749,675,927,705,915,493,959,
072,177,531,281,146,315,134,837,785,378,341,646,264,262,425,052,390,043,234,
914,306,592,895,475,146,403,110,243,839,205,925,584,832,935,569,428,595,474,
007,589,363,973,618,432,674,376,314,563,187,934,044,565,252,099,588,936,723,
222,206,658,813,788,577,461,585,264,731,246,392,702,814,614,956,094,131,087,
927,291,037,202,553,126,805,320,176,191,289,002,813,791,220,758,181,431,667,
469,627,860,452,473,472,071,759,881,003,193,139,306,765,712,556,132,735,463,
009,824,862,170,525,305,823,528,434,810,456,487,705,522,913,600,755,497,002,
944,150,497,567,154,452,517,511,372,180,644,888,736,810,247,942,030,981,064,
041,590,387,784,725,366,404,044,264,825,550,104,735,000,008,913,210,773,705,
034,711,024,299,284,856,344,775,399,336,812,379,432,232,419,838,474,539,468,
041,044,204,702,507,117,946,228,424,555,388,587,518,343,963,143,679,707,804,
620,553,061,766,734,701,776,850,415,699,454,815,506,038,644,039,422,006,918,
332,427,309,360,953,732,367,067,888,399,007,355,406,362,981,257,215,522,538,
651,437,884,724,358,245,345,254,074,163,578,889,247,067,719,417,555,372,927,
951,031,099,002,416,235,072,370,628,549,204,732,862,986,944,972,286,943,464,
425,881,295,154,395,692,260,637,859,824,377,379,978,922,390,057,242,643,777,
071,548,455,206,807,884,488,028,267,929,267,411,378,733,205,625,575,387,692,
121,606,532,747,365,082,889,210,512,280,492,126,515,138,797,046,284,641,682,
318,099,221,723,888,187,736,233,238,767,306,856,324,715,857,126,132,592,398,
290,674,194,231,242,280,172,764,478,834,092,042,026,983,056,432,368,680,669,
786,345,938,046,139,183,164,133,220,988,593,384,777,025,393,414,497,300,996,
384,579,976,179,206,995,573,887,161,730,044,306,129,520,934,535,217,061,119,
220,248,838,959,890,322,323,592,067,668,509,219,137,911,243,125,342,088,681,
189,908,287,637,913,203,101,748,498,820,282,689,270,821,408,750,714,997,333,
663,547,495,297,447,446,421,091,759,723,032,226,453,149,672,324,153,885,244,
777,977,412,733,074,427,698,763,928,705,444,938,543,753,280,014,759,479,391,
313,555,872,010,939,280,674,022,652,230,231,993,206,216,626,248,835,377,397,
657,692,999,315,995,779,598,103,592,329,453,421,361,794,958,435,419,473,218,
449,440,860,500,545,823,303,905,562,909,852,346,705,335,861,022,873,929,944,
341,301,801,717,765,588,573,797,330,505,353,446,450,231,951,015,206,038,737,
662,826,147,753,350,257,008,697,233,645,498,252,689,597,961,724,659,119,338,
190,231,169,476,581,002,386,380,845,193,330,639,611,225,615,519,537,858,661,
690,842,543,658,974,367,657,903,338,603,769,212,831,532,781,266,401,484,831,
829,558,706,131,950,711,935,714,492,096,994,579,125,082,732,751,533,359,091,
098,166,949,448,371,431,307,815,626,560,109,476,897,674,973,816,071,190,727,
177,893,141,757,864,392,026,782,695,375,780,582,956,177,231,590,821,593,348,
560,114,550,337,680,107,649,122,578,836,154,930,132,445,216,215,397,974,644,
835,303,100,321,436,322,805,523,119,162,035,986,310,431,458,509,868,556,888,
211,259,879,968,018,011,167,018,068,115,673,364,099,076,964,030,174,553,591,
422,978,726,625,747,156,748,431,080,521,183,746,109,505,917,383,269,230,358,
952,752,059,799,803,974,008,124,996,452,376,768,304,116,997,540,097,111,367,
282,930,177,919,624,244,183,669,937,501,287,988,158,148,749,144,002,181,484,
436,864,261,679,005,610,456,051,964,020,004,307,178,009,860,689,216,203,406,
298,661,855,510,244,348,190,739,644,473,882,666,113,894,589,126,371,773,291,
275,020,173,776,992,490,220,507,720,514,449,138,185,924,170,804,217,827,069,
972,185,672,135,069,400,724,097,892,073,847,929,355,581,111,730,475,541,512,
345,321,503,897,972,977,391,722,488,976,769,959,126,036,012,839,366,495,057,
696,562,948,326,134,262,337,018,920,699,435,595,827,239,825,257,207,005,910,
118,623,052,262,308,339,265,958,513,580,513,803,091,143,145,574,985,526,069,
001,693,491,564,555,748,741,758,823,112,904,821,310,855,854,280,388,590,475,
294,050,528,336,879,628,874,502,535,602,770,339,830,984,448,441,578,156,251,
946,679,277,475,267,489,922,952,379,728,491,587,631,519,228,986,474,281,382,
764,728,011,619,409,827,815,725,447,953,289,855,080,796,470,192,135,289,513,
338,934,471,238,892,618,429,445,326,388,496,423,942,088,795,882,848,726,002,
479,661,788,831,926,539,471,652,867,098,381,005,287,323,190,036,881,564,257,
147,288,345,054,565,237,584,355,720,507,223,027,323,291,708,613,932,245,638,
795,745,430,022,330,039,285,321,611,029,918,625,150,751,197,522,532,722,981,
383,757,248,765,088,367,524,458,716,488,548,378,808,127,553,103,853,174,391,
843,753,736,937,729,563,682,047,325,328,729,138,644,565,253,121,426,717,955,
592,237,327,492,874,722,402,161,716,405,046,773,804,901,706,478,971,541,354,
710,260,192,518,995,238,100,793,180,394,034,167,977,689,837,016,582,322,786,
115,341,143,610,282,820,343,555,182,985,358,382,207,294,842,043,549,595,449,
330,826,297,630,950,623,660,769,660,552,462,314,547,642,935,291,066,621,538,
033,736,914,615,225,652,543,430,930,891,544,233,984,131,004,020,424,895,327,
517,404,654,918,481,500,018,195,372,692,031,670,912,093,046,367,349,621,138,
743,954,551,373,069,768,538,963,302,562,582,706,101,172,232,577,195,331,936,
147,696,632,933,511,969,255,230,254,534,013,280,935,475,924,480,860,924,003,
314,418,837,349,944,554,103,992,377,230,103,762,749,294,430,031,460,378,918,
747,247,357,437,682,914,594,857,059,180,329,148,977,401,396,502,973,742,845,
270,412,347,411,135,730,992,400,298,117,832,853,779,626,631,120,543,282,321,
228,418,432,404,549,195,784,710,011,654,165,827,465,308,740,878,036,686,908,
878,457,852,020,448,646,129,765,790,545,517,031,050,537,591,590,329,713,758,
302,924,117,685,104,064,367,804,446,400,010,376,375,038,088,821,258,983,707,
772,383,036,706,390,460,231,853,594,923,060,544,260,706,444,847,874,399,254,
245,062,188,511,622,500,734,540,891,554,381,153,306,262,517,119,486,245,242,
889,293,577,583,097,376,239,162,660,875,821,887,900,652,846,055,458,816,983,
484,243,723,862,538,725,657,127,101,754,518,320,850,847,375,723,188,692,232,
316,426,902,738,152,443,681,220,038,175,397,598,453,392,655,188,386,309,627,
717,308,008,870,611,771,221,459,270,504,833,465,707,821,851,294,895,384,069,
850,350,309,623,964,346,426,320,130,170,647,183,727,733,385,302,816,420,632,
465,310,416,991,842,831,390,970,888,370,924,598,866,641,067,335,079,297,733,
439,264,467,558,050,551,650,057,499,664,847,935,629,708,879,169,340,978,800,
554,153,820,996,856,919,466,243,377,065,522,080,537,638,226,294,277,339,185,
199,191,885,995,704,383,932,302,804,551,187,786,346,598,869,722,518,714,376,
439,879,209,460,160,388,718,734,174,526,557,139,778,333,989,170,471,445,061,
881,131,751,540,063,240,831,388,405,715,688,361,665,067,016,475,168,887,980,
138,423,327,343,721,664,198,552,558,361,800,459,948,910,592,243,791,296,402,
551,555,701,661,128,125,023,490,961,139,233,366,902,771,214,388,734,211,782,
356,360,460,418,694,889,558,202,640,292,169,442,771,024,503,412,391,075,562,
147,749,879,455,350,943,519,606,847,016,052,972,891,824,194,688,022,743,661,
444,188,238,098,661,713,615,688,066,631,646,878,836,150,022,164,933,279,420,
910,530,450,986,624,648,185,686,548,193,754,098,794,003,735,360,491,416,285,
828,204,498,711,074,463,784,138,945,022,578,832,103,125,171,712,441,590,710,
034,463,927,578,360,428,884,077,397,182,667,672,749,845,247,788,806,872,775,
844,066,133,478,674,392,062,703,012,732,935,370,880,724,761,065,833,911,383,
720,578,943,484,576,384,582,930,902,884,280,757,174,485,926,083,248,912,516,
466,795,421,280,288,265,764,362,986,948,029,447,721,150,515,692,430,586,616,
389,335,529,688,926,533,671,615,299,856,138,752,825,659,585,005,228,315,199,
317,803,053,772,567,979,772,035,483,533,859,267,385,730,667,771,619,146,182,
360,516,149,916,575,425,557,496,861,968,776,539,243,302,472,432,827,972,489,
391,580,136,441,121,951,665,944,954,206,417,997,112,321,468,998,514,208,068,
241,249,810,174,517,059,225,631,097,409,077,207,393,408,930,056,086,471,311,
036,844,423,044,338,731,327,133,933,100,700,714,028,755,505,014,187,212,990,
964,322,622,851,683,706,733,358,006,183,430,451,407,404,702,434,659,943,049,
530,094,792,839,815,015,064,143,720,390,091,880,252,842,842,712,698,064,467,
011,527,632,643,540,466,818,789,155,329,700,930,497,624,486,020,674,205,667,
210,893,798,912,667,553,209,429,604,623,634,872,336,571,314,848,559,274,660,
155,079,448,702,702,202,295,488,221,799,890,603,151,568,348,770,215,137,001,
567,210,466,165,336,126,666,716,047,233,394,507,213,450,744,814,802,280,412,
786,920,584,941,849,026,834,306,325,155,686,649,050,080,962,031,522,616,708,
261,787,225,407,214,944,690,215,590,741,394,703,497,526,725,923,780,777,225,
546,773,506,432,706,002,341,957,595,932,501,194,651,380,057,716,906,315,255,
437,130,270,266,052,672,020,508,142,379,383,256,265,936,284,125,039,049,515,
919,451,092,932,000,106,124,873,216,301,985,161,189,313,839,770,497,370,490,
743,261,263,056,547,559,137,705,124,982,958,369,565,755,319,533,898,765,655,
725,633,255,542,496,648,289,185,090,370,659,585,218,182,731,634,296,722,932,
777,017,439,692,470,884,957,526,689,803,321,291,008,561,007,977,448,161,313,
775,971,408,046,702,930,824,501,239,086,337,570,013,212,720,050,650,871,396,
325,329,016,205,726,373,132,347,740,193,101,688,052,137,622,965,387,617,749,
194,591,631,988,811,936,893,733,190,277,758,650,571,676,580,555,028,844,260,
368,106,101,034,649,053,213,112,122,734,972,358,059,783,193,498,366,787,490,
794,877,554,241,148,046,887,573,706,984,754,653,479,786,485,496,959,000,754,
738,896,204,515,606,245,096,361,954,623,945,831,396,883,623,899,373,264,818,
188,841,902,030,467,870,314,205,595,556,771,423,914,263,717,107,096,175,173,
790,966,252,702,196,625,738,955,034,057,930,763,076,520,351,337,952,214,665,
620,389,229,614,124,595,586,670,651,252,310,365,108,417,190,914,978,665,998,
157,976,380,204,204,498,683,387,153,865,647,615,638,536,135,917,089,011,005,
599,774,556,874,141,932,746,553,963,798,658,158,160,138,061,025,146,125,948,
190,310,515,285,851,649,853,870,429,838,546,871,680,393,079,832,263,730,440,
660,090,301,401,503,846,779,673,914,904,611,310,606,556,545,211,108,397,984,
827,585,983,242,123,061,027,572,337,189,069,555,541,390,721,133,399,471,561,
448,445,169,296,822,932,659,511,662,954,191,092,626,147,677,409,999,258,482,
621,603,099,377,467,338,013,121,166,099,039,748,266,912,100,488,806,326,378,
763,540,830,608,406,900,722,381,063,797,049,970,446,381,487,038,202,718,484,
719,269,877,906,045,407,750,839,357,461,675,807,934,358,329,943,040,155,283,
461,165,930,201,575,060,284,336,304,629,023,143,548,874,034,505,681,253,411,
228,661,868,357,900,478,516,783,422,208,515,940,093,780,040,680,110,943,367,
136,504,080,967,568,795,713,388,855,171,495,369,261,610,126,972,225,925,901,
844,018,388,490,730,837,265,514,569,353,898,808,786,440,089,119,417,083,019,
152,492,286,019,267,722,003,883,871,174,957,198,803,703,989,733,279,702,702,
730,543,804,941,176,390,541,700,624,573,221,524,209,497,313,417,151,985,270,
368,448,780,632,705,174,819,372,488,107,418,255,797,352,053,038,168,024,375,
838,914,500,195,231,823,555,027,274,153,829,089,492,494,661,954,851,738,924,
434,276,725,110,033,080,513,245,553,546,499,571,318,492,068,516,731,781,542,
401,864,036,062,833,075,545,159,480,229,865,887,504,290,692,746,221,581,367,
382,796,156,527,877,464,650,966,994,181,892,175,894,130,014,272,161,916,430,
809,324,448,584,624,579,753,706,744,222,363,926,868,416,079,341,361,096,327,
091,286,866,008,262,114,707,697,586,733,775,505,952,440,170,817,888,476,402,
833,509,591,962,149,587,525,296,548,171,666,295,623,367,963,952,981,600,975,
644,274,045,460,931,388,791,425,062,317,384,266,698,850,613,127,131,167,980,
442,442,140,664,476,902,028,897,286,522,480,108,565,001,533,714,231,360,608,
144,819,169,464,135,949,810,661,170,318,583,996,882,309,162,223,194,621,080,
001,967,820,222,796,674,157,520,425,743,639,731,838,744,334,261,041,579,527,
111,649,601,248,370,137,383,317,593,349,323,860,250,248,136,439,466,615,503,
129,912,565,680,596,478,434,792,787,837,816,272,404,535,391,048,611,823,468,
402,466,481,046,303,350,425,523,340,121,940,132,882,929,165,062,469,101,601,
516,150,080,400,057,798,964,206,590,358,942,090,351,785,393,336,282,904,872,
132,482,876,013,668,296,099,200,894,493,723,714,710,785,108,443,069,660,873,
704,635,030,343,507,837,244,040,929,265,248,048,120,129,356,923,216,252,821,
105,292,856,922,852,361,547,339,252,713,837,593,145,132,136,228,632,418,732,
900,964,089,147,028,835,323,628,232,547,696,207,997,195,095,301,224,343,889,
954,834,314,305,944,005,960,309,389,120,241,331,004,187,993,690,640,312,268,
525,478,538,990,990,123,071,906,854,273,455,632,069,708,915,731,398,623,498,
968,662,122,210,136,008,097,824,086,962,010,042,111,007,875,051,155,355,811,
106,830,606,555,217,605,294,713,932,914,862,616,577,173,109,869,213,816,858,
828,757,439,567,699,246,210,591,004,255,440,617,029,483,032,552,334,637,843,
393,959,433,808,249,506,948,880,677,068,299,517,915,155,782,069,297,595,729,
533,235,633,223,339,635,095,136,874,060,784,378,474,131,467,356,727,320,459,
409,316,974,890,875,083,712,149,434,165,185,027,811,012,109,763,287,153,080,
422,575,663,039,005,185,806,595,190,365,197,590,950,849,957,838,880,279,680,
153,074,897,871,070,846,926,728,428,276,629,252,054,557,010,400,950,287,852,
998,765,216,207,532,151,963,427,131,830,103,316,136,158,642,868,241,822,026,
785,542,111,722,662,855,929,537,093,479,349,292,319,977,435,948,998,085,235,
066,726,294,467,539,349,299,717,481,068,703,096,901,168,407,344,736,568,124,
240,975,394,857,113,717,364,422,344,573,408,270,830,484,816,424,007,313,023,
869,222,869,247,481,541,035,948,375,526,292,453,942,333,532,043,491,578,834,
696,859,317,814,019,958,626,167,314,477,149,053,629,113,670,661,986,609,957,
157,516,512,365,311,442,676,149,088,969,824,377,546,003,361,623,553,966,119,
124,561,191,946,906,375,237,951,086,795,459,131,651,439,649,919,989,085,599,
178,110,811,652,935,905,738,554,007,707,407,676,867,619,279,261,731,868,866,
925,439,672,163,019,553,255,340,059,305,097,011,328,407,352,255,348,765,094,
384,444,756,570,772,367,053,438,971,970,383,267,904,246,051,690,569,702,897,
951,525,109,851,822,593,383,594,998,365,567,907,679,716,286,131,650,975,971,
951,758,656,479,869,576,135,377,213,757,234,848,910,047,954,694,771,397,704,
003,750,218,086,434,806,167,822,085,689,816,855,114,632,709,632,077,867,993,
866,813,305,759,766,100,425,292,733,205,838,430,436,425,873,146,295,378,563,
715,857,018,545,496,359,961,321,437,927,232,090,984,186,958,677,313,212,157,
210,645,139,812,546,842,428,795,647,579,257,277,539,778,130,173,251,836,048,
508,725,742,205,834,232,317,111,906,045,706,384,506,645,653,330,576,107,087,
539,793,372,953,866,806,630,822,348,034,837,560,610,156,770,868,692,417,437,
721,849,132,229,876,886,347,951,769,220,518,574,898,311,486,886,706,026,865,
670,172,533,626,025,180,146,702,615,627,239,668,376,463,620,454,445,780,804,
670,254,693,784,496,091,226,952,110,006,544,052,550,611,391,709,905,492,118,
918,578,233,192,508,842,283,268,052,372,359,925,569,545,589,539,618,039,487,
124,990,204,625,653,420,453,834,349,498,627,700,703,231,884,936,591,759,325,
223,299,813,667,074,211,746,623,281,790,466,841,103,199,719,703,255,396,125,
647,320,468,059,920,626,821,835,793,364,420,271,150,669,272,238,523,634,380,
649,827,170,333,951,557,278,621,171,763,131,183,514,853,709,907,146,496,838,
384,387,505,940,644,765,653,227,864,681,534,141,611,822,581,170,735,799,793,
174,431,684,333,599,389,630,353,104,056,405,281,366,864,466,657,668,523,866,
340,589,642,907,914,534,639,757,087,499,104,850,808,851,296,012,808,297,517,
361,409,720,577,120,017,249,694,612,343,922,041,719,503,230,191,666,479,712,
833,442,783,100,262,147,310,966,812,284,664,800,907,552,456,866,284,138,638,
174,506,684,762,116,773,938,894,339,211,273,300,988,540,924,577,324,016,860,
360,651,595,266,515,497,123,762,959,128,587,226,701,428,584,999,179,761,690,
901,444,462,374,185,541,725,250,839,129,815,509,202,860,535,291,080,798,499,
390,239,299,331,248,955,454,996,320,815,906,957,089,251,580,924,441,948,356,
502,277,371,284,688,969,647,898,367,069,224,059,105,138,076,126,255,937,932,
054,730,870,385,766,092,406,084,008,633,459,715,655,182,450,338,606,701,546,
672,031,637,862,760,417,206,590,012,053,488,095,518,914,501,741,620,711,317,
155,253,705,921,001,009,932,368,219,499,824,231,310,110,489,407,051,785,406,
353,880,024,267,714,599,565,541,158,144,033,995,393,781,363,370,882,229,875,
381,681,404,426,483,209,687,231,379,823,083,240,772,700,953,196,235,691,441,
885,192,059,772,358,989,529,571,633,823,496,247,343,077,166,724,868,903,087,
080,073,126,459,003,944,978,933,216,433,710,882,944,061,377,320,445,304,698,
579,398,514,887,105,852,793,114,362,957,604,034,036,714,874,920,216,710,456,
482,928,486,992,819,021,237,530,980,421,309,486,753,804,838,128,985,702,394,
063,179,422,330,230,198,462,476,690,193,754,952,984,161,111,498,282,973,916,
319,399,700,978,809,991,874,371,283,054,528,415,598,213,099,835,885,701,067,
216,249,691,401,128,720,021,727,931,369,263,289,359,709,162,893,009,239,461,
148,838,712,952,422,751,318,182,052,542,279,785,364,627,007,076,376,636,283,
341,532,261,427,074,740,881,863,793,552,416,933,149,582,802,225,867,807,849,
214,764,904,378,280,111,136,251,328,460,244,028,523,205,950,826,949,116,377,
209,733,825,497,155,505,678,205,459,849,653,794,092,310,652,885,227,829,274,
380,667,101,392,306,096,490,159,537,584,240,089,297,358,471,635,648,384,024,
570,617,094,275,305,367,453,282,985,574,525,684,193,651,012,714,820,904,220,
406,918,651,491,376,392,379,752,775,902,569,342,824,787,907,291,305,216,805,
561,170,884,773,300,499,984,731,816,199,592,006,197,680,043,157,443,036,701,
560,433,836,344,623,081,440,631,153,272,425,390,531,578,590,223,235,225,105,
481,269,891,494,239,783,448,001,877,640,642,361,444,928,075,780,704,410,492,
809,586,932,467,003,836,326,950,335,079,838,008,294,479,160,427,750,871,441,
744,446,540,886,628,307,556,403,836,803,646,888,350,163,225,300,327,387,325,
842,025,260,200,661,943,880,886,916,661,697,463,482,362,408,219,460,923,804,
317,352,807,240,484,793,158,843,373,455,379,245,218,884,749,490,295,739,439,
486,257,528,507,059,044,429,335,482,566,095,777,722,792,846,505,684,926,750,
430,726,843,111,890,026,139,495,982,342,138,531,851,855,694,534,821,354,063,
515,575,444,212,050,491,457,266,505,620,400,991,665,508,776,481,351,520,777,
901,498,358,100,895,804,117,888,661,106,335,758,009,624,293,673,869,769,844,
208,698,128,082,626,515,550,693,844,331,007,083,658,387,680,402,674,117,281,
567,415,736,182,420,457,055,445,079,259,788,853,873,065,317,885,922,664,871,
554,960,942,700,584,083,358,057,359,802,289,606,111,232,472,313,214,949,265,
065,244,494,967,379,308,159,001,539,824,537,220,380,978,937,521,328,140,568,
525,876,850,143,739,308,365,920,206,913,206,396,052,796,347,721,213,019,364,
848,809,892,411,593,217,991,204,972,647,050,122,844,247,375,644,058,912,086,
408,294,178,792,802,530,518,999,972,631,737,441,498,673,928,943,743,552,031,
132,878,138,976,701,743,222,329,165,999,491,877,469,989,458,811,291,690,377,
565,360,128,072,646,221,880,574,596,442,482,571,488,561,353,404,950,241,641,
066,593,358,892,819,633,768,032,700,802,568,243,964,943,503,857,612,081,929,
865,661,062,783,635,226,969,243,073,415,679,027,140,348,007,571,182,780,697,
454,694,510,127,396,867,560,203,388,909,455,554,249,233,861,806,566,728,280,
385,622,407,821,952,283,176,242,478,379,502,311,475,725,174,489,386,312,001,
564,076,794,302,582,978,968,724,839,622,966,330,523,102,587,517,694,667,537,
328,676,759,166,174,101,838,996,933,066,631,187,581,958,662,827,484,648,291,
187,587,057,111,459,820,631,866,898,002,322,918,004,645,067,846,058,015,301,
133,196,153,878,228,581,953,333,104,530,319,814,588,003,921,620,893,951,236,
265,157,714,465,739,357,876,216,769,942,319,476,970,719,185,735,139,959,585,
070,201,881,236,054,205,944,563,583,493,523,950,349,312,694,485,578,257,496,
447,505,737,064,808,883,797,568,430,652,887,816,830,936,468,757,020,307,057,
000,099,934,243,507,111,217,460,621,527,278,692,226,442,545,077,960,721,597,
008,647,038,699,453,425,168,180,148,078,294,595,262,671,018,292,120,764,619,
648,411,255,043,095,698,518,582,248,901,977,628,124,908,232,645,325,381,182,
223,465,422,654,047,117,925,705,885,732,896,924,667,368,448,103,349,420,670,
746,198,089,452,588,954,737,687,387,205,094,099,117,902,186,463,974,819,463,
828,106,909,068,204,063,091,227,985,697,216,480,466,144,666,625,482,321,473,
638,887,454,272,048,522,497,392,704,591,812,173,303,400,655,791,248,226,580,
895,667,751,266,459,437,443,427,370,988,674,948,177,183,420,491,129,783,840,
503,328,310,455,335,729,181,206,681,189,086,876,715,567,634,151,652,476,525,
047,426,355,351,082,577,672,488,718,987,054,116,449,932,527,358,452,359,722,
084,282,604,728,453,975,247,135,011,371,223,448,776,717,280,792,144,125,174,
686,536,866,227,777,402,441,640,321,949,678,957,241,127,024,092,525,453,268,
693,744,109,179,689,547,822,593,926,301,572,456,163,367,301,074,528,220,922,
247,237,933,705,371,032,908,367,238,495,283,679,486,940,221,008,906,425,754,
713,878,046,763,988,040,273,877,878,205,532,194,969,384,265,140,205,139,615,
900,744,044,978,535,167,865,409,827,474,782,733,495,364,871,835,886,110,006,
764,445,614,870,046,052,926,533,400,271,159,810,910,527,508,795,470,527,345,
990,574,344,913,881,403,624,055,867,330,921,177,884,778,004,981,452,287,980,
819,161,947,667,193,761,653,138,415,295,572,694,482,679,877,198,725,103,818,
886,429,646,762,031,805,408,811,303,506,122,106,061,442,343,239,409,589,578,
585,042,901,527,126,572,713,280,128,787,306,029,746,656,901,219,961,352,643,
639,931,028,116,544,930,645,242,707,193,552,096,391,808,693,605,927,303,867,
745,263,803,770,521,586,287,302,810,902,168,134,892,006,063,698,017,327,220,
872,727,126,067,020,020,753,964,248,839,439,434,265,190,170,762,922,942,466,
277,438,328,003,849,949,248,792,262,518,053,814,458,697,557,800,985,521,822,
043,021,797,838,900,640,963,288,216,238,838,555,586,129,147,376,211,766,994,
055,754,760,666,822,127,943,566,516,346,038,803,723,045,250,190,796,040,618,
336,048,993,915,177,692,163,077,016,341,125,475,375,277,745,379,872,355,997,
533,545,244,072,129,557,413,561,015,253,720,041,662,977,676,736,369,252,599,
591,970,101,366,596,842,565,135,592,707,691,979,066,647,235,744,549,387,880,
969,736,781,518,417,280,453,138,603,888,469,527,343,297,574,895,072,576,948,
212,705,342,954,398,848,920,091,067,980,170,704,836,066,174,671,838,297,862,
675,755,796,672,600,825,361,471,700,087,064,265,708,252,541,896,137,719,087,
319,434,629,963,853,720,259,058,419,029,131,519,825,418,576,622,205,779,598,
723,691,031,935,687,383,933,564,786,625,480,341,455,343,753,040,004,069,701,
828,169,021,460,579,370,478,161,310,384,786,487,344,646,292,610,632,514,334,
527,047,247,775,569,648,806,614,668,112,056,978,593,771,047,421,284,267,969,
678,254,337,456,170,074,017,646,684,527,335,390,595,169,065,532,650,570,085,
943,766,074,947,414,946,263,412,978,139,778,156,111,231,062,851,855,136,204,
133,373,098,241,670,043,364,154,787,727,633,237,961,465,497,953,322,236,587,
675,392,808,855,081,495,305,952,246,287,598,431,310,972,591,679,822,056,811,
547,855,009,745,674,266,252,773,448,580,604,454,412,924,758,313,548,666,221,
479,010,846,318,839,791,969,770,468,375,947,215,570,230,302,661,163,251,383,
325,790,285,878,406,418,666,378,293,882,432,825,463,346,209,236,983,278,431,
304,600,595,955,454,411,148,722,494,159,249,637,810,155,260,361,608,845,881,
983,567,596,490,377,644,941,516,273,399,140,897,599,828,799,167,111,013,509,
145,225,716,760,890,530,750,499,712,298,052,243,657,412,224,736,043,400,848,
601,238,608,483,614,565,188,553,233,371,236,071,919,635,153,892,823,680,772,
421,536,372,291,926,920,982,451,927,380,770,384,778,289,641,257,505,914,238,
110,329,807,005,767,480,041,168,969,953,239,338,772,241,502,131,033,825,745,
033,602,558,655,760,722,977,686,954,723,683,278,875,660,069,578,695,089,444,
492,470,364,073,109,228,194,852,877,588,251,497,948,002,876,045,262,519,179,
549,797,156,072,988,715,178,340,983,066,649,362,315,936,354,272,654,805,667,
347,660,542,252,166,016,488,963,516,380,940,936,268,798,976,304,455,286,950,
627,149,875,174,057,049,096,279,478,919,204,420,177,837,085,819,795,578,851,
915,601,203,897,184,916,532,961,371,232,314,948,652,437,054,433,180,896,892,
162,675,465,866,823,080,266,159,123,678,084,990,388,517,944,488,692,120,377,
540,702,645,268,839,926,005,531,340,002,857,988,309,087,048,736,924,946,630,
538,170,966,150,446,367,015,542,664,076,679,737,704,666,624,389,298,135,499,
751,505,037,566,442,580,388,937,820,797,823,335,549,764,550,471,963,253,451,
515,990,759,330,570,939,850,481,151,840,755,547,641,081,806,130,141,911,433,
256,210,353,486,187,500,071,517,389,753,641,490,526,780,301,264,276,622,551,
662,050,963,640,952,734,481,091,188,066,002,618,285,033,651,374,457,470,642,
691,351,053,900,367,905,830,068,904,429,738,034,077,331,310,613,584,056,866,
550,003,175,211,118,838,036,238,415,025,962,873,501,273,614,011,723,796,986,
614,364,510,010,857,699,446,966,996,120,097,137,205,505,337,052,467,179,671,
749,164,135,293,457,370,772,443,716,010,863,754,237,826,222,291,671,301,642,
372,132,727,185,417,967,067,326,390,696,400,086,954,166,240,572,294,750,435,
983,984,823,861,199,741,910,381,827,038,853,703,770,882,672,995,230,126,037,
403,610,230,305,476,547,659,150,202,435,848,301,437,080,463,989,289,770,940,
014,318,472,750,399,891,648,190,752,276,356,457,083,980,126,586,460,891,999,
676,432,810,424,073,152,068,596,535,213,695,806,273,920,965,434,489,254,733,
991,461,002,899,811,550,094,802,235,272,271,902,495,923,360,014,878,530,471,
554,200,945,122,937,248,570,229,454,566,091,974,183,594,992,198,375,844,295,
691,057,047,835,527,225,986,900,648,560,026,897,494,892,540,836,007,717,325,
123,968,795,553,251,497,700,472,119,688,238,037,267,581,003,897,327,747,853,
079,452,072,343,875,429,288,906,218,904,271,997,301,410,969,047,158,559,040,
277,638,646,090,731,595,637,142,582,455,040,666,633,193,342,994,664,037,219,
762,494,324,143,020,144,467,132,215,027,984,662,063,376,795,507,100,977,624,
428,771,207,784,700,064,425,125,120,131,220,520,141,773,224,503,602,152,603,
858,308,809,580,245,029,246,950,889,159,008,622,798,750,367,043,239,596,001,
461,559,433,890,620,114,793,510,118,691,893,728,492,557,575,475,579,054,826,
296,570,580,760,437,543,869,909,128,928,839,430,777,950,699,241,610,390,895,
852,583,833,697,882,295,534,362,883,127,490,824,803,290,352,411,264,301,749,
562,308,070,656,514,903,904,994,090,042,280,595,563,102,734,927,125,416,193,
669,024,336,043,891,068,938,359,838,434,727,702,136,291,372,101,158,509,584,
023,954,797,288,135,150,009,354,399,128,128,102,085,668,045,722,975,695,921,
197,271,307,337,789,604,867,410,335,883,135,393,793,945,944,097,598,113,600,
594,212,418,841,939,247,879,598,651,279,965,813,388,112,146,422,458,979,938,
197,660,318,559,754,534,089,525,158,846,442,989,296,826,610,592,400,847,423,
275,201,598,388,307,539,114,679,223,258,855,463,065,181,055,180,636,041,046,
691,891,876,131,819,774,911,293,224,652,255,129,473,044,611,304,029,036,976,
722,565,441,101,601,754,581,782,375,937,399,328,356,023,843,204,042,794,011,
528,698,996,618,891,889,427,309,216,566,297,063,249,183,082,294,818,446,127,
460,301,260,377,775,693,077,804,960,013,008,292,432,135,775,914,317,688,692,
518,557,514,547,821,038,822,209,785,686,126,594,604,731,656,078,897,829,075,
993,779,181,941,510,162,438,774,485,086,222,913,391,628,785,979,128,552,598,
529,047,127,379,383,269,597,716,192,187,580,523,649,060,862,853,665,354,110,
588,871,487,270,386,655,920,322,033,895,960,361,830,765,744,091,721,417,774,
836,537,584,841,572,840,156,731,092,607,868,140,520,101,581,768,222,615,490,
351,257,588,771,004,840,541,008,117,598,838,152,514,034,828,736,541,378,293,
971,417,581,600,952,824,227,536,110,414,737,999,078,301,151,158,338,807,144,
484,921,334,274,643,872,939,298,222,627,422,631,884,375,906,447,902,215,112,
897,345,030,890,806,694,216,680,721,912,089,822,778,666,863,296,968,109,920,
067,255,089,773,224,720,001,710,937,986,866,187,400,392,293,671,574,155,916,
914,166,365,104,930,073,239,407,949,452,264,731,580,685,456,013,079,457,445,
885,682,272,597,220,611,793,627,876,397,933,792,695,885,249,675,293,953,380,
247,984,524,403,308,253,517,438,313,430,400,881,540,074,347,702,548,773,636,
870,230,150,964,851,714,316,759,723,765,480,255,581,084,483,408,563,216,527,
008,246,898,314,554,006,392,845,182,624,478,482,167,499,134,305,823,267,182,
699,512,285,739,108,775,108,329,120,915,757,363,354,725,101,308,479,401,037,
989,044,576,908,959,515,802,484,676,196,411,668,802,681,422,654,317,524,826,
548,051,747,964,485,641,786,157,064,715,294,764,697,548,705,846,141,584,711,
820,277,153,620,351,878,237,398,890,043,085,685,741,797,805,829,960,160,403,
169,970,827,715,835,538,231,429,542,479,261,154,743,080,013,652,355,034,940,
233,242,222,883,938,324,681,291,045,253,462,754,592,833,649,231,021,845,557,
213,963,197,300,717,768,186,112,532,487,675,951,064,221,271,324,768,835,243,
111,924,214,907,631,608,386,849,693,401,943,826,374,437,638,252,671,534,066,
493,555,403,743,822,609,805,328,515,965,463,185,506,708,605,535,760,645,829,
235,908,193,339,469,478,344,963,856,945,584,400,549,993,963,748,029,786,049,
040,905,199,461,740,622,127,654,757,993,086,536,696,796,524,621,488,846,537,
911,207,347,268,029,862,316,935,750,926,747,539,798,500,049,567,722,227,737,
765,668,995,468,365,220,139,889,880,336,478,752,448,779,887,657,702,838,790,
227,323,986,058,529,169,289,341,567,791,606,708,636,001,400,051,482,257,300,
080,173,888,460,989,471,457,007,805,489,919,381,678,541,554,343,468,426,407,
602,874,174,567,475,277,819,652,935,663,392,450,520,541,835,509,748,551,462,
502,270,630,574,266,905,405,847,316,305,516,157,917,119,796,912,321,111,254,
805,188,221,588,067,321,987,395,396,832,164,610,884,882,280,420,153,481,043,
170,778,867,069,192,794,698,079,772,965,146,902,187,166,570,229,738,325,673,
693,832,301,706,005,568,634,544,843,376,167,015,819,752,857,057,086,881,970,
565,001,135,474,078,075,971,751,268,611,086,435,054,066,789,480,102,156,689,
818,489,801,041,073,422,429,988,573,380,827,442,455,856,333,284,415,648,402,
797,739,066,129,975,200,055,939,225,151,338,145,517,058,701,347,991,848,570,
362,352,937,209,584,273,615,329,700,957,016,294,053,447,746,550,157,460,993,
216,129,675,454,195,536,664,184,585,324,728,010,046,027,813,731,320,861,847,
704,063,191,919,626,438,062,049,193,453,686,895,788,493,331,977,590,280,200,
986,877,269,924,782,983,236,827,401,298,422,658,592,521,380,978,849,608,802,
094,947,736,864,681,180,021,638,648,036,841,987,305,335,393,242,489,050,699,
927,632,005,152,479,739,468,940,397,426,887,604,206,772,770,867,683,628,221,
685,320,996,480,301,023,179,853,463,422,419,000,327,600,544,531,821,637,626,
474,391,443,112,206,361,063,745,954,772,385,254,825,406,456,144,139,052,007,
576,074,380,383,503,845,662,963,587,140,061,656,248,055,171,600,917,849,569,
238,929,267,218,476,652,381,848,126,318,917,055,215,458,541,125,958,597,644,
748,916,240,381,807,116,392,587,229,640,849,642,372,082,677,595,895,068,218,
323,557,493,725,034,895,660,893,856,118,797,761,397,534,855,618,263,761,187,
759,646,285,281,856,188,973,249,150,741,123,894,667,961,091,446,844,461,788,
870,704,269,207,047,076,505,057,501,466,198,839,890,123,927,064,500,846,076,
039,650,392,176,333,340,758,605,734,936,498,266,544,727,808,380,446,945,342,
730,293,785,967,347,727,326,009,355,238,284,773,604,555,263,721,764,544,631,
690,167,652,005,010,987,702,129,383,048,936,511,165,980,789,481,089,736,109,
139,085,977,841,830,467,985,031,526,348,390,691,158,016,047,978,036,557,535,
154,770,020,439,434,215,048,216,700,536,447,532,346,146,187,723,755,627,263,
150,537,992,532,098,487,590,683,894,304,197,150,558,377,406,005,188,371,443,
669,244,734,062,367,491,258,194,348,033,421,382,276,219,028,044,053,676,818,
862,246,254,017,695,933,496,381,799,801,731,369,590,951,212,404,415,471,860,
977,965,143,459,293,973,815,696,460,062,180,412,546,595,276,572,059,019,670,
952,528,632,083,694,301,246,136,712,562,107,569,911,223,039,011,292,359,170,
808,194,240,335,186,214,359,778,868,040,189,118,320,874,945,490,315,001,451,
584,886,253,057,227,054,582,091,412,107,404,175,347,112,164,838,892,836,292,
683,858,761,515,639,462,322,653,986,509,128,235,887,204,913,572,247,109,669,
591,908,998,318,714,900,292,703,948,989,350,380,232,298,096,160,294,681,114,
187,972,822,180,640,948,766,148,371,666,186,495,896,307,687,357,295,667,474,
926,000,468,001,834,919,693,771,589,282,957,720,069,915,528,902,755,169,326,
510,328,187,293,731,790,010,418,214,040,690,643,370,365,210,714,502,998,373,
059,391,741,338,458,893,896,318,553,324,304,739,125,897,872,808,918,089,452,
349,498,333,265,727,938,702,066,194,801,424,770,426,986,979,563,927,122,292,
057,960,738,453,180,124,838,703,314,200,918,986,165,951,639,014,868,292,679,
628,399,657,343,617,517,845,398,804,058,653,170,243,375,009,566,637,458,544,
471,402,685,899,978,843,810,987,768,857,876,416,232,717,743,485,469,331,863,
385,950,039,321,954,512,262,678,709,866,175,517,552,298,417,962,599,258,439,
383,294,315,043,271,639,316,345,815,473,968,610,580,994,337,407,824,499,014,
906,375,633,735,527,553,084,050,090,589,584,298,039,269,602,958,838,074,296,
259,422,820,775,233,659,068,087,885,221,892,088,156,873,225,266,055,944,462,
917,336,804,066,864,095,439,629,495,375,484,967,813,373,595,859,627,139,017,
500,176,610,687,191,860,490,429,204,050,650,861,564,487,865,158,442,879,421,
576,229,624,986,377,174,951,752,485,217,211,846,981,805,259,831,050,502,064,
081,363,543,233,418,686,806,986,493,321,650,792,983,581,475,237,610,877,396,
588,113,044,442,430,882,158,543,697,122,942,650,021,015,641,430,506,792,402,
485,559,507,626,299,570,267,792,099,215,688,854,841,178,179,093,031,439,035,
814,488,965,327,154,434,383,077,843,122,178,763,126,401,376,465,652,614,184,
514,202,653,006,600,647,966,952,318,553,525,182,699,351,850,559,296,181,304,
998,027,001,789,800,463,245,946,809,847,407,943,919,371,134,483,532,034,546,
806,752,638,945,058,776,836,050,839,803,307,631,242,863,919,351,718,309,257,
841,306,510,994,311,557,862,073,407,205,854,115,364,790,238,308,469,249,910,
183,989,774,257,523,495,506,942,741,061,747,089,760,351,616,575,170,374,008,
409,427,948,436,150,964,065,243,374,918,069,773,552,490,733,976,606,454,524,
210,544,046,590,115,294,831,659,832,171,029,235,675,584,874,904,374,768,643,
018,125,659,839,236,910,749,085,942,050,109,664,487,640,203,524,110,208,936,
450,698,857,845,874,703,504,352,822,298,226,528,167,466,086,867,812,819,098,
041,495,798,711,264,189,626,784,188,988,121,692,483,357,660,376,339,870,304,
479,652,945,639,870,727,537,721,233,239,407,400,338,513,500,732,763,559,491,
295,662,837,796,983,150,161,150,313,624,788,865,002,888,328,706,228,862,062,
154,990,875,434,352,743,988,371,176,354,946,954,626,485,647,366,624,003,024,
875,644,601,083,248,143,773,571,492,256,864,175,270,081,635,215,484,352,078,
864,811,302,478,623,565,042,555,628,161,060,435,356,312,627,921,424,624,585,
639,298,585,547,674,939,135,810,551,518,459,005,610,855,284,757,069,003,934,
232,035,417,691,910,129,860,493,048,031,374,824,413,660,786,594,679,111,280,
206,293,870,979,532,647,061,573,588,331,224,343,713,376,490,237,229,251,195,
725,202,326,080,584,916,746,956,344,473,344,309,369,590,660,904,734,898,818,
889,551,544,549,989,022,724,688,535,893,113,176,802,150,169,741,894,794,021,
556,293,182,278,111,173,536,913,818,392,775,793,350,726,456,389,772,319,915,
556,803,882,102,422,514,629,017,519,024,674,547,143,549,253,150,380,706,009,
949,683,638,474,760,766,882,666,571,712,471,278,029,068,050,411,717,647,408,
900,394,709,730,814,815,965,208,094,269,197,019,374,008,363,085,509,195,548,
508,807,302,930,488,268,191,601,459,053,651,682,622,162,715,700,721,896,310,
655,078,757,041,569,293,721,603,352,680,247,115,914,694,504,837,619,575,872,
814,000,609,703,201,027,027,841,369,542,362,427,071,295,228,593,647,471,365,
812,797,087,793,652,457,570,589,494,837,249,799,112,283,294,841,322,206,761,
048,757,134,162,881,240,442,016,632,504,249,957,296,779,735,053,511,683,912,
143,313,936,964,792,689,906,763,049,861,234,172,936,457,312,748,323,480,678,
837,648,651,165,775,988,962,792,199,916,040,086,113,944,235,809,779,022,913,
482,927,078,232,601,957,656,909,396,971,809,065,146,550,866,196,993,478,495,
236,962,778,728,871,045,048,071,682,235,797,911,734,061,103,366,140,600,528,
728,051,177,406,364,464,073,588,946,147,564,073,025,739,760,734,982,369,969,
689,463,261,253,380,335,982,813,943,916,019,044,199,978,016,776,101,384,980,
790,000,790,984,826,055,150,369,815,742,852,291,167,074,805,477,016,676,675,
262,519,916,867,447,896,090,886,765,742,266,527,172,537,107,160,161,490,036,
787,136,184,392,908,097,313,287,373,476,429,224,263,802,193,329,499,797,550,
896,667,351,453,354,888,224,421,326,010,735,030,604,745,273,068,553,173,817,
566,524,436,925,886,399,159,647,693,751,267,279,428,606,974,237,723,662,313,
821,217,473,505,006,381,168,026,455,579,501,731,233,829,352,690,440,615,500,
909,933,824,116,131,711,867,121,670,400,532,820,175,389,515,712,143,929,637,
376,239,925,270,716,707,414,782,223,494,532,942,210,272,810,098,167,265,809,
392,929,546,999,886,001,914,270,936,790,572,127,893,629,196,311,116,733,131,
848,250,456,666,132,198,150,609,876,649,739,697,262,670,988,821,585,927,366,
238,759,455,345,458,927,333,217,729,904,611,694,698,969,210,281,444,419,670,
490,369,939,954,596,477,774,871,360,882,414,605,055,029,331,460,416,683,660,
845,495,404,105,904,412,054,618,598,245,885,000,647,217,085,004,496,669,199,
276,064,094,416,583,386,199,813,985,954,296,342,353,464,833,740,041,913,708,
628,564,856,038,744,591,065,002,114,112,740,686,714,746,506,942,605,807,145,
412,790,494,898,851,036,334,832,424,842,360,663,054,741,149,322,415,253,635,
822,973,488,725,117,204,702,975,375,541,705,824,135,509,695,508,429,925,663,
976,954,040,001,961,593,644,527,993,167,658,536,366,130,705,942,386,959,009,
596,682,645,447,862,990,775,058,247,133,214,877,274,662,603,044,947,399,093,
606,880,426,014,698,483,547,996,220,645,278,953,682,078,842,576,935,976,708,
769,411,902,578,652,044,783,259,541,865,060,965,061,445,291,490,471,944,339,
674,240,369,698,010,531,467,675,394,800,111,312,045,210,555,937,105,187,545,
330,640,160,274,962,301,297,669,889,648,090,893,987,904,006,900,301,886,208,
184,387,034,370,888,711,358,417,739,115,820,445,526,009,433,614,414,988,970,
130,168,131,649,848,656,571,037,723,807,891,937,018,314,813,698,546,693,206,
365,307,268,576,231,758,206,187,786,853,793,062,560,893,923,058,604,311,728,
457,327,144,673,161,138,869,327,666,905,574,929,212,744,350,630,042,811,415,
526,240,634,797,989,798,388,175,396,956,122,756,424,995,719,985,615,129,407,
926,936,619,937,404,404,764,553,052,465,140,296,167,444,151,763,663,114,844,
880,399,193,680,986,927,122,131,486,748,345,988,521,561,754,437,272,233,223,
154,769,214,187,636,538,667,451,165,779,317,379,561,396,876,956,171,091,342,
128,014,760,083,142,089,179,668,463,410,913,962,097,263,617,861,118,011,398,
631,818,505,342,045,927,700,066,342,888,179,797,801,845,813,034,018,838,591,
477,493,953,831,505,132,753,296,000,831,838,649,531,559,224,960,617,150,734,
269,307,800,103,089,584,840,045,070,785,037,288,785,777,034,989,779,603,050,
606,373,849,539,154,884,777,926,510,786,504,291,680,891,630,737,798,932,923,
942,918,746,735,090,045,087,064,147,167,581,096,411,553,381,327,979,197,221,
120,415,380,514,339,663,173,311,085,779,037,359,208,628,911,278,348,595,707,
832,490,421,200,490,151,493,234,256,735,402,283,618,711,826,140,687,122,958,
590,371,782,259,867,177,105,561,126,071,827,443,535,426,044,090,013,656,804,
113,129,511,474,691,616,036,677,376,781,868,206,122,029,687,912,947,215,828,
759,868,122,545,079,321,635,271,851,227,813,327,187,190,322,510,658,218,495,
687,450,322,217,654,647,564,999,810,368,331,749,529,575,389,912,878,207,691,
590,974,327,209,786,462,366,088,881,960,923,595,399,188,610,787,298,867,406,
657,991,455,301,018,362,125,392,562,359,448,338,904,160,768,307,818,430,747,
050,942,004,274,407,717,566,404,347,642,684,986,792,010,987,198,190,433,897,
816,600,165,794,270,256,892,411,668,867,485,910,553,069,019,345,242,847,916,
263,416,760,013,021,092,275,620,638,227,697,267,349,266,026,955,384,595,175,
924,527,238,675,708,831,006,281,578,085,724,163,089,903,719,306,101,749,020,
336,354,599,496,637,262,363,852,257,443,024,263,779,837,355,427,550,490,174,
393,055,661,341,466,498,673,041,683,137,569,032,444,864,553,994,976,311,297,
311,725,100,936,515,099,248,672,665,742,593,083,588,063,386,971,544,463,802,
136,387,514,865,122,050,672,827,487,700,090,307,998,689,090,730,171,047,656,
466,231,416,356,197,187,830,541,865,113,653,696,256,141,428,757,516,966,868,
512,300,161,709,581,348,669,090,787,785,992,181,540,393,437,433,576,278,510,
782,540,705,029,148,627,481,014,576,568,391,606,464,632,517,659,386,017,979,
790,285,163,995,641,944,460,313,418,769,995,468,984,403,868,756,118,830,408,
335,585,513,938,897,563,493,897,439,431,322,174,016,982,583,044,859,791,340,
785,983,847,894,353,653,032,659,791,088,130,590,576,746,664,245,425,839,150,
345,936,270,501,950,403,390,201,896,618,204,681,848,543,244,696,433,411,095,
364,171,723,055,578,553,298,093,203,737,724,920,930,028,932,987,572,598,566,
021,953,301,368,310,845,473,697,672,606,903,431,404,889,849,720,493,722,837,
736,764,868,518,350,087,727,904,585,021,026,374,722,463,794,226,307,053,652,
927,156,443,280,525,098,355,992,450,897,818,975,827,574,400,919,891,407,839,
297,479,775,323,623,245,578,212,724,562,533,732,506,011,126,401,912,553,810,
333,026,256,017,702,574,456,676,070,162,175,474,312,342,044,189,181,243,728,
543,215,705,630,963,969,049,174,367,550,473,028,539,153,101,264,875,585,273,
123,163,712,601,504,225,596,238,747,053,282,565,431,717,061,305,275,039,345,
722,008,640,884,095,592,615,763,122,590,726,131,117,619,042,428,094,274,161,
539,179,787,008,211,089,065,166,728,603,638,631,208,741,699,580,846,680,750,
501,873,974,064,227,302,935,566,037,251,451,146,591,801,624,282,894,325,396,
391,024,427,822,285,473,849,019,515,133,420,810,414,139,433,660,872,340,912,
046,369,547,778,419,762,436,038,028,401,648,405,954,376,159,801,165,081,912,
089,668,504,982,371,288,915,219,630,140,821,034,780,182,915,617,905,107,227,
410,146,006,411,237,813,324,574,480,511,270,922,601,112,066,610,495,339,622,
548,601,997,038,171,678,095,596,537,530,472,845,746,145,514,610,016,815,287,
384,459,710,395,354,727,494,559,687,186,110,366,105,480,609,297,031,377,442,
531,820,467,498,252,126,511,746,598,576,975,705,719,845,569,085,788,648,525,
452,036,198,497,630,670,213,334,961,670,760,324,048,899,913,985,452,552,014,
966,130,820,193,685,582,524,077,208,270,656,283,426,343,277,371,426,021,798,
235,194,693,547,081,585,164,303,239,662,785,425,703,906,093,777,664,630,893,
316,508,739,696,835,962,868,951,881,326,315,560,051,707,792,900,498,674,504,
298,001,899,112,767,343,200,675,757,894,469,604,058,882,373,859,748,463,158,
884,573,678,961,653,165,517,130,399,824,716,359,655,562,966,155,222,960,559,
525,815,987,153,061,290,464,864,111,433,480,079,903,760,128,689,125,535,364,
024,994,068,694,718,120,170,071,501,954,977,397,605,646,465,905,002,830,797,
178,804,960,430,910,209,923,495,153,976,857,229,353,279,779,884,213,621,111,
078,981,195,845,415,731,785,804,995,549,338,821,726,728,964,706,732,694,890,
056,293,687,761,352,615,376,999,538,340,025,623,289,733,466,735,335,464,529,
137,334,117,560,623,657,660,731,460,560,278,058,725,658,894,949,669,655,018,
837,852,760,385,548,968,068,259,888,444,718,849,733,596,315,480,321,570,442,
804,299,027,792,431,846,252,200,044,131,398,797,261,393,954,063,606,338,226,
184,644,908,691,665,773,603,642,984,604,768,553,168,529,920,250,650,906,715,
978,280,455,111,546,041,919,281,016,873,068,881,616,272,174,949,026,312,588,
495,353,131,077,884,314,539,206,358,624,113,010,292,992,261,997,464,699,280,
839,711,031,721,993,281,183,657,494,250,909,856,487,657,081,523,457,119,080,
919,592,380,746,455,867,023,123,137,571,124,787,290,286,335,825,410,067,665,
226,287,769,172,116,772,219,250,630,387,853,749,673,304,000,326,636,156,429,
362,742,329,616,342,294,218,394,950,301,305,054,428,438,163,723,379,591,592,
259,183,289,092,935,866,333,025,598,893,979,757,402,508,769,050,628,284,113,
970,024,680,526,892,072,612,664,868,952,884,022,975,773,577,057,867,199,279,
629,168,014,165,550,673,063,877,339,720,810,049,823,221,725,114,264,479,441,
284,644,503,758,276,975,519,235,331,360,503,287,156,293,196,619,431,884,648,
532,902,163,091,559,468,798,026,453,919,597,044,015,937,865,973,014,442,152,
047,631,954,692,538,334,387,968,105,568,288,190,956,239,129,522,428,796,376,
729,312,033,886,534,036,568,852,183,168,516,582,978,327,211,092,272,571,512,
897,039,992,308,635,334,144,423,476,953,607,660,857,521,625,118,899,421,430,
040,273,423,095,716,850,559,226,651,874,708,730,734,217,337,368,522,032,180,
995,701,191,461,056,707,752,720,923,204,880,940,272,866,789,459,842,757,298,
995,231,808,165,257,884,366,968,717,135,475,974,004,958,781,121,913,632,854,
669,270,651,551,944,335,991,303,756,168,308,795,011,786,977,953,317,800,712,
294,688,942,253,744,572,865,817,457,232,516,376,038,774,622,805,488,264,779,
887,672,688,393,058,168,763,935,728,915,115,624,625,640,704,044,923,873,752,
558,467,601,241,586,733,008,433,588,460,614,139,768,715,525,520,707,136,977,
047,465,703,319,001,945,877,885,550,943,089,468,428,135,937,901,691,894,441,
241,788,436,024,486,809,895,069,422,620,416,052,562,560,294,769,723,208,214,
177,724,821,905,804,418,392,320,229,457,278,850,172,210,436,182,125,627,600,
072,831,556,574,608,706,582,083,211,823,806,479,723,072,415,197,677,209,431,
651,782,502,397,086,230,226,992,849,660,216,441,561,556,968,254,635,090,109,
718,826,046,850,738,342,380,225,705,538,822,216,002,416,289,030,818,744,081,
781,203,563,015,823,649,882,298,160,522,762,473,267,684,014,949,578,838,289,
421,162,083,326,143,758,644,069,606,919,972,520,480,123,442,923,420,667,085,
016,884,702,907,408,232,257,058,521,443,728,411,002,326,342,806,205,417,921,
824,942,851,126,387,581,256,724,258,942,956,447,486,662,517,420,764,067,618,
661,858,425,906,860,918,633,522,388,646,566,814,628,088,053,561,656,202,461,
884,588,202,394,340,343,542,132,059,678,857,072,205,247,478,914,998,499,591,
415,241,274,307,654,556,644,769,503,816,675,764,100,832,623,860,119,526,662,
630,256,753,207,498,819,702,469,472,861,790,605,540,747,607,417,157,000,402,
290,144,070,537,862,389,082,302,099,743,193,653,749,345,694,611,392,108,840,
822,515,194,106,684,060,817,035,353,649,767,768,497,827,729,974,386,317,068,
407,514,621,989,331,531,096,351,025,067,291,855,017,608,052,481,565,250,564,
609,522,037,935,674,557,455,804,414,599,122,635,710,649,156,189,622,748,702,
210,753,680,666,524,317,350,916,732,209,351,636,688,804,971,787,948,018,620,
911,134,542,305,573,136,113,983,622,897,620,574,204,749,754,263,301,363,305,
903,300,156,997,559,545,446,210,471,157,015,916,770,119,437,546,177,577,670,
012,049,096,747,315,035,263,466,604,004,909,705,572,668,402,051,344,618,930,
824,953,533,309,040,626,460,676,536,781,438,587,434,030,506,622,973,793,758,
446,854,308,382,328,373,410,861,996,148,805,280,635,267,740,657,557,604,097,
404,494,359,516,940,449,858,290,660,222,523,536,442,150,862,090,717,167,745,
094,085,648,583,570,337,967,222,056,935,432,070,148,815,280,818,765,805,608,
317,864,347,995,363,371,798,863,829,207,667,226,854,531,511,363,905,191,916,
098,540,910,161,638,860,142,347,294,441,738,633,674,604,528,991,067,171,686,
371,160,130,975,564,944,030,256,407,843,661,735,734,904,547,279,796,253,669,
019,072,075,272,672,782,840,189,302,464,528,714,498,746,563,674,973,084,446,
437,418,322,369,180,548,761,785,597,356,833,423,699,182,125,244,048,966,666,
863,647,614,454,545,899,109,737,458,732,014,331,431,116,333,099,596,014,922,
922,749,471,832,209,720,898,814,593,761,355,262,241,815,095,645,737,750,932,
502,762,345,151,383,257,321,870,789,973,869,164,797,979,844,612,384,853,379,
576,670,451,939,720,369,313,335,093,365,428,627,801,982,820,563,385,206,270,
206,451,421,044,095,826,153,253,545,329,263,953,697,956,228,419,506,231,314,
826,087,119,372,816,709,702,783,365,072,242,637,765,369,825,822,626,367,013,
366,416,880,542,793,915,409,507,283,981,542,254,280,043,381,349,473,167,977,
731,788,380,393,107,271,165,392,967,014,108,003,033,859,010,170,000,097,485,
834,863,028,244,379,351,353,431,662,823,886,864,292,396,571,287,477,446,327,
816,121,020,528,515,279,515,854,010,330,189,764,586,685,450,441,896,821,400,
989,725,239,184,140,907,068,138,871,793,289,104,278,165,152,794,394,652,963,
544,117,811,036,848,944,758,072,495,248,422,995,007,711,833,806,482,984,736,
908,343,140,641,927,802,560,527,670,237,267,603,853,075,249,583,126,450,134,
524,797,426,873,836,985,458,165,892,895,507,247,347,102,410,492,678,959,963,
945,603,366,310,160,000,284,710,964,415,642,565,646,641,651,090,489,336,087,
579,866,763,817,774,551,125,789,998,304,301,411,249,681,119,583,674,982,976,
485,551,631,052,349,409,287,825,612,936,220,480,565,555,923,409,152,266,908,
642,232,092,026,111,417,350,108,685,590,191,070,989,649,166,114,528,636,340,
017,595,711,405,242,864,489,404,502,815,591,938,796,625,324,220,952,373,250,
924,752,217,365,243,131,330,428,641,481,065,794,234,935,949,956,827,255,183,
342,202,156,366,466,913,950,124,418,567,168,236,835,857,338,751,625,425,577,
055,112,836,912,284,799,988,402,283,402,616,121,017,392,919,564,595,136,802,
437,180,907,898,453,080,438,034,155,356,296,298,743,552,447,555,822,222,424,
324,777,434,904,692,867,328,432,254,598,405,575,309,825,701,794,751,569,782,
691,771,002,700,975,641,091,070,776,945,400,779,511,451,957,230,779,604,453,
392,921,522,195,758,558,940,323,243,181,031,320,311,656,091,973,224,253,057,
412,393,350,687,341,991,277,656,341,903,037,193,268,078,162,378,739,330,719,
503,973,216,213,136,615,732,767,794,908,720,937,206,659,961,894,613,633,734,
437,517,887,967,406,655,069,366,054,695,663,795,121,377,485,350,496,073,132,
540,865,909,970,169,927,655,249,905,593,266,168,906,606,712,685,396,379,782,
819,643,625,012,353,293,042,565,727,766,041,028,435,770,128,381,311,088,572,
809,089,199,836,198,032,633,784,583,457,988,237,957,699,214,069,407,155,805,
054,426,117,829,534,306,552,061,629,595,229,815,978,995,639,898,832,193,346,
187,943,662,823,100,078,745,716,522,015,181,440,040,274,812,634,739,318,925,
250,403,756,598,091,144,011,529,908,939,940,397,351,202,611,206,127,725,317,
992,317,380,257,898,186,228,081,187,418,369,225,814,271,810,206,145,503,209,
502,976,467,733,975,641,441,235,779,826,173,682,159,380,224,286,316,647,870,
431,548,046,917,917,969,244,801,492,597,002,454,521,619,415,371,996,454,166,
314,544,135,294,632,057,014,859,482,555,520,629,741,249,425,915,293,402,290,
342,508,739,006,936,969,900,260,888,328,761,640,653,616,620,649,521,944,371,
127,715,061,709,101,554,213,314,719,677,920,593,231,972,216,141,172,551,368,
411,480,671,481,982,921,264,858,527,668,392,920,368,498,818,844,254,368,664,
077,290,669,645,868,819,311,410,580,430,716,851,263,660,508,496,856,284,178,
706,603,894,631,788,593,447,415,401,370,328,612,033,257,552,757,778,159,897,
255,083,970,360,217,638,830,649,622,787,130,430,101,000,883,698,936,085,138,
186,681,540,697,425,216,462,424,414,393,010,239,120,369,090,082,078,927,982,
258,332,518,510,819,986,351,026,185,445,165,336,264,939,240,094,934,536,117,
335,609,672,452,649,537,961,026,608,377,247,928,790,689,742,793,506,533,138,
667,611,998,718,781,496,400,615,465,603,025,111,142,538,848,951,285,615,202,
180,933,094,748,890,588,902,282,759,841,103,700,918,993,860,101,510,741,660,
658,257,131,275,633,833,663,559,954,949,966,290,548,317,043,695,836,113,257,
462,738,963,366,021,350,892,109,460,541,759,508,751,145,708,648,451,163,515,
401,085,462,554,153,355,155,399,514,359,038,347,820,570,860,024,901,511,416,
899,624,422,031,161,789,876,504,557,357,777,109,848,640,553,100,302,221,172,
485,733,713,903,921,953,692,711,381,602,177,112,594,038,451,697,489,797,944,
780,294,871,753,266,340,566,677,190,245,865,749,292,884,176,939,187,108,403,
164,837,124,361,592,313,266,736,618,391,838,003,434,148,272,762,043,907,541,
093,900,389,038,373,698,892,260,884,865,893,408,290,644,853,808,318,802,026,
764,329,225,602,231,366,697,836,462,497,778,094,349,604,144,086,256,887,586,
175,580,184,484,443,400,324,557,806,730,488,746,850,658,784,028,111,663,250,
296,948,260,890,497,215,936,267,028,369,343,651,927,803,737,860,917,539,673,
945,312,521,041,595,188,049,368,603,726,441,986,511,485,443,269,626,034,797,
665,667,960,526,160,905,753,600,056,983,962,948,482,791,006,385,198,152,897,
594,183,796,565,624,047,859,433,854,876,421,613,262,507,605,664,459,230,427,
690,170,328,610,583,416,541,152,682,799,093,182,553,829,755,861,308,347,097,
442,525,205,547,699,532,967,071,359,720,320,917,645,391,297,271,900,896,198,
037,883,616,993,645,891,365,391,024,973,440,837,352,492,949,844,930,280,951,
448,931,682,519,640,404,550,470,560,332,063,021,806,548,747,775,288,540,325,
409,980,515,923,956,748,122,468,684,132,630,112,193,252,516,224,712,350,634,
509,007,426,712,646,105,666,243,912,198,732,820,610,940,618,211,316,462,741,
837,493,288,018,143,088,011,786,533,991,255,206,683,899,218,020,783,623,674,
115,964,133,094,160,487,876,082,069,891,169,007,492,814,645,838,304,311,345,
741,272,022,014,481,767,644,601,521,700,319,350,074,511,187,528,478,241,958,
177,727,678,684,416,386,446,940,328,148,307,731,268,787,312,393,639,276,668,
404,093,869,721,338,639,614,036,535,296,200,795,644,203,416,735,986,635,100,
791,845,022,670,495,782,645,898,062,669,657,692,728,235,405,232,699,966,815,
358,066,307,036,934,356,018,601,183,596,049,060,856,414,492,630,665,896,341,
770,160,344,438,297,557,212,207,634,804,175,250,121,839,587,176,982,180,132,
013,025,580,708,979,934,328,626,741,060,652,077,392,271,246,346,503,248,851,
867,648,498,400,689,730,330,514,187,031,406,008,031,108,563,581,742,074,444,
175,423,371,481,842,848,455,008,924,909,613,981,017,751,703,452,983,646,140,
261,908,737,903,915,744,790,878,811,608,237,111,214,395,296,384,539,899,144,
485,479,175,642,675,489,666,805,203,061,403,193,323,576,196,850,555,893,200,
622,959,327,622,522,606,259,889,438,849,275,233,368,656,590,585,274,949,038,
048,931,751,597,304,578,847,329,269,278,807,836,875,446,082,469,579,136,228,
261,245,314,853,969,721,323,861,776,424,334,326,176,854,988,024,581,201,576,
731,154,208,653,237,753,060,113,094,505,297,016,954,133,993,501,619,925,661,
085,810,993,282,079,752,056,941,351,243,616,103,843,897,777,323,863,210,776,
410,961,118,644,338,441,237,381,688,211,018,819,541,014,382,149,328,057,995,
251,688,098,383,623,181,618,471,480,261,837,261,303,464,376,074,417,374,583,
527,041,052,445,434,267,524,656,225,470,040,216,508,606,809,859,052,054,125,
397,485,376,370,455,610,272,376,880,673,056,585,136,612,580,638,778,958,835,
643,470,927,104,536,428,902,402,001,148,637,324,593,623,973,775,849,352,860,
430,790,104,531,829,809,695,851,448,286,795,665,007,599,592,281,526,796,189,
861,097,374,042,898,747,462,763,593,003,673,964,581,369,499,537,840,314,246,
013,017,096,443,938,364,560,560,751,830,796,798,406,050,599,320,398,399,297,
024,254,357,703,362,319,621,015,423,295,667,209,585,689,589,538,306,804,530,
502,468,595,431,932,120,808,270,686,556,428,224,479,128,070,910,917,317,423,
730,058,765,495,093,448,679,976,104,231,631,285,056,960,870,943,519,252,911,
095,507,587,916,794,872,972,429,498,923,816,634,611,449,235,090,395,533,327,
727,379,802,736,799,157,960,557,533,747,104,099,731,789,456,999,762,426,065,
864,808,289,766,884,205,629,874,445,744,750,247,427,111,543,931,510,904,466,
902,358,782,418,661,359,213,853,101,988,297,627,115,600,443,649,954,010,174,
488,640,303,187,581,742,490,646,218,409,764,272,870,729,406,399,317,859,962,
454,482,456,370,019,031,088,586,374,870,205,258,931,546,352,402,128,516,349,
847,974,037,915,635,393,220,066,494,531,125,666,379,576,832,775,401,389,710,
479,341,720,020,979,357,565,613,440,323,707,698,437,659,930,677,871,412,092,
720,901,057,109,936,224,580,305,984,752,866,233,188,340,402,898,342,089,440,
380,966,073,464,240,342,017,732,650,696,776,788,998,329,203,177,259,736,201,
047,164,836,486,008,569,946,613,723,532,617,520,750,665,381,552,568,953,571,
616,478,086,378,983,887,999,976,525,370,649,916,272,011,739,749,477,486,231,
561,498,615,200,733,335,157,964,335,743,424,599,951,078,418,552,191,692,396,
337,251,935,736,135,373,927,057,905,910,869,596,243,462,297,941,877,913,867,
125,610,256,027,456,586,536,792,792,970,401,593,860,871,801,667,981,212,335,
180,304,583,316,486,140,535,910,417,447,916,419,590,454,205,433,039,638,517,
213,197,940,614,556,749,137,134,110,708,879,798,784,295,323,180,388,762,965,
314,341,805,447,625,069,417,422,038,376,540,611,374,343,735,488,836,602,414,
621,676,940,912,788,175,004,584,549,381,505,633,347,472,877,845,181,199,623,
403,079,442,076,857,075,899,957,595,293,917,900,453,633,614,824,085,743,921,
534,204,148,447,532,479,938,946,049,481,482,951,612,162,464,108,499,903,358,
793,402,377,396,134,377,332,471,047,147,671,994,951,279,572,662,097,723,383,
257,090,831,908,298,216,002,255,266,622,138,134,702,420,961,302,206,802,556,
690,304,528,412,947,772,111,126,170,376,784,110,189,607,022,660,408,008,113,
296,015,449,773,818,088,630,058,432,757,970,381,506,639,912,564,124,139,966,
566,976,531,553,893,252,182,936,733,008,271,925,053,382,441,773,260,738,816,
443,947,593,301,575,033,245,027,474,129,310,359,022,781,840,378,587,769,865,
153,355,933,879,759,498,378,420,614,398,637,117,132,316,720,856,447,212,745,
063,564,425,090,044,492,481,862,676,153,613,183,574,037,640,089,783,128,948,
742,208,911,152,395,351,067,099,800,084,348,443,775,790,789,145,825,529,317,
590,001,793,479,690,708,710,232,876,258,435,062,665,933,945,960,551,724,804,
909,493,111,539,276,728,227,908,731,098,942,367,161,313,081,908,375,262,008,
638,383,470,992,735,621,779,627,550,713,810,021,881,175,499,642,783,377,426,
190,437,346,529,708,941,560,100,567,131,041,534,598,549,828,802,538,293,155,
550,371,675,406,615,653,661,458,829,146,100,071,965,640,001,999,007,816,472,
873,270,852,755,616,542,806,585,766,823,584,547,465,646,106,310,244,152,328,
826,916,777,007,046,902,798,162,608,262,552,881,212,428,699,303,960,812,130,
357,191,158,987,459,936,964,553,983,213,882,632,206,238,014,560,705,408,493,
341,496,531,849,599,582,560,395,250,429,198,110,814,897,526,949,937,235,477,
340,456,580,546,023,456,083,653,504,240,244,179,863,463,909,540,569,853,118,
148,545,237,462,927,082,718,755,184,103,181,661,206,839,256,237,649,459,742,
545,261,166,739,038,984,543,429,228,596,428,043,072,101,803,665,539,909,248,
057,387,587,024,238,770,625,319,134,017,729,756,145,222,103,243,915,809,273,
752,760,948,511,632,195,391,874,284,134,023,298,648,629,717,343,991,828,037,
522,389,151,460,327,807,120,549,040,998,185,503,129,240,285,968,824,438,804,
769,653,670,317,722,679,227,155,804,306,442,656,927,815,284,119,978,462,792,
917,289,364,805,862,615,652,946,219,820,426,168,444,681,037,987,081,889,499,
663,676,045,261,503,057,686,831,330,380,239,670,186,875,080,470,358,883,146,
103,568,760,940,823,500,229,947,562,593,069,357,709,898,018,935,989,086,100,
899,003,945,266,245,890,176,075,869,067,972,857,937,311,547,901,687,416,094,
715,743,732,922,270,630,309,171,997,420,910,344,455,622,958,016,122,864,671,
374,684,012,608,055,951,248,122,283,672,420,425,797,923,049,245,338,475,564,
952,162,504,267,377,659,702,755,587,461,646,803,680,428,769,625,437,680,908,
636,864,211,659,834,891,808,892,865,277,476,500,111,317,117,770,507,157,900,
668,588,282,531,165,309,946,136,815,144,907,772,672,387,311,408,682,121,861,
707,340,085,279,585,620,150,124,566,111,114,015,690,123,301,792,188,972,600,
758,011,758,760,919,915,731,799,661,008,253,793,872,541,350,074,514,139,841,
266,946,165,104,911,853,571,640,765,195,971,837,622,680,712,054,100,469,335,
156,081,911,684,154,330,350,578,714,421,638,518,810,008,989,141,242,738,539,
348,468,086,242,148,299,383,638,504,694,713,531,850,972,303,018,779,039,107,
117,405,753,025,163,974,977,101,956,581,243,080,638,953,223,069,620,888,325,
882,757,097,988,453,680,773,669,279,746,588,655,951,780,825,518,068,687,862,
891,357,373,200,230,922,989,595,264,340,694,812,106,858,232,501,213,615,068,
467,288,978,644,574,630,142,022,921,737,003,332,172,943,581,396,032,327,048,
846,077,649,617,843,802,304,422,957,177,371,102,426,504,406,634,940,104,666,
096,593,266,975,377,291,855,595,625,233,196,641,762,957,228,423,684,815,869,
104,418,620,098,212,763,373,786,057,467,162,833,300,569,595,529,272,854,611,
562,360,794,642,023,335,479,186,872,190,801,796,168,601,919,136,160,494,721,
165,473,824,363,666,549,844,183,169,549,518,759,972,315,056,880,734,888,668,
635,717,695,356,951,319,286,544,438,524,428,873,456,035,543,210,766,587,935,
046,630,954,941,541,996,080,046,363,278,181,800,202,764,059,243,410,393,149,
268,511,521,869,130,817,168,217,129,124,917,157,788,588,835,074,323,042,093,
769,245,482,729,579,944,268,199,457,020,223,455,170,962,688,332,114,954,927,
169,228,925,221,121,983,012,532,041,904,418,560,452,259,586,399,615,114,995,
778,892,113,804,167,052,529,567,926,105,779,189,195,613,194,155,977,797,195,
940,233,811,011,733,060,045,485,735,907,472,117,130,387,738,272,922,238,093,
592,866,906,490,667,810,168,023,420,856,092,614,443,988,105,414,161,423,584,
751,883,928,513,150,514,933,594,843,397,802,217,016,963,842,079,777,667,966,
921,395,990,957,690,641,357,309,940,699,280,738,934,518,612,639,615,246,544,
586,729,494,984,157,635,900,770,796,773,270,760,432,852,261,206,957,464,943,
873,021,819,927,112,962,762,724,665,817,191,579,015,831,936,395,839,652,470,
412,202,896,701,837,660,399,453,749,286,418,256,491,322,529,152,696,062,624,
928,221,662,041,626,845,281,979,255,970,473,999,726,259,928,343,236,878,406,
957,717,939,940,731,964,031,480,082,000,136,758,120,372,570,079,596,751,451,
217,815,522,034,913,942,232,630,535,979,800,785,863,356,630,066,941,224,160,
040,390,031,364,362,361,059,347,486,134,877,496,998,987,533,215,697,963,957,
393,209,842,573,596,331,654,459,493,814,178,061,682,187,112,424,623,512,273,
778,802,010,903,815,742,280,814,846,150,478,616,679,793,028,372,704,566,795,
359,320,661,167,661,422,481,755,979,634,121,978,301,170,334,967,355,549,560,
033,447,421,864,467,147,589,023,920,178,666,371,236,769,920,048,829,576,453,
527,186,018,040,044,923,376,207,263,562,541,388,876,115,282,560,255,921,913,
638,006,363,417,262,274,281,784,111,899,219,933,875,253,415,965,338,112,930,
006,057,849,354,637,903,967,628,513,997,467,193,816,001,290,378,981,342,541,
748,269,054,746,797,063,939,962,057,754,224,594,826,623,536,093,860,024,888,
124,759,796,400,464,056,798,695,619,680,697,828,152,191,966,063,116,660,703,
539,052,293,578,724,012,556,458,303,658,993,244,048,305,875,188,906,829,289,
269,976,850,122,193,906,510,991,364,419,593,452,682,987,325,325,992,851,375,
000,408,717,862,665,482,412,021,557,984,582,551,276,006,304,272,516,061,848,
456,618,248,594,995,448,164,047,794,766,272,040,955,175,279,510,727,513,027,
225,732,005,094,402,086,633,573,159,118,303,753,990,446,308,511,663,183,864,
501,377,417,625,047,848,501,622,599,289,852,515,330,394,673,346,991,843,455,
219,638,724,162,713,560,294,618,755,189,999,354,419,049,028,174,481,145,883,
524,462,890,062,923,870,996,728,095,721,761,963,976,705,969,218,013,284,127,
543,221,140,909,776,407,577,017,707,979,687,645,942,535,750,035,197,867,502,
527,025,158,293,324,831,122,893,120,925,334,359,647,526,361,375,033,074,309,
830,357,331,047,792,266,445,560,477,728,410,777,994,323,467,899,022,564,280,
796,619,802,237,085,056,379,114,359,165,262,301,430,466,257,647,282,275,963,
786,802,979,017,908,769,394,939,501,187,421,545,264,498,897,063,927,032,576,
512,797,359,532,013,039,335,968,398,506,842,461,327,653,651,788,103,690,171,
371,317,392,508,117,083,430,314,667,522,703,377,709,162,009,858,223,070,922,
334,209,664,375,425,867,627,392,279,748,401,798,924,653,534,798,476,115,774,
728,479,896,403,833,229,055,507,831,873,105,624,824,293,171,414,255,389,173,
856,643,056,628,614,267,747,608,928,459,422,454,833,189,984,003,170,766,771,
067,368,283,546,368,429,742,107,072,232,872,326,471,239,211,024,967,508,857,
841,465,002,442,832,066,944,435,035,497,479,027,409,600,480,714,989,838,465,
376,113,517,472,135,529,608,359,292,494,136,296,196,876,567,131,752,598,558,
038,883,943,718,869,612,323,599,432,818,235,830,025,912,465,592,588,529,817,
014,596,974,501,620,720,695,436,029,491,372,633,976,687,920,478,880,069,353,
937,361,367,182,966,354,997,322,162,373,181,881,951,661,963,531,429,844,645,
196,927,710,599,696,340,718,097,327,207,233,412,011,505,501,436,442,406,183,
425,504,466,341,949,106,336,567,482,103,911,706,298,190,411,695,639,291,275,
218,033,017,797,023,458,490,761,459,015,176,809,400,486,464,947,001,498,218,
475,340,465,161,783,892,502,796,317,260,720,080,532,222,819,700,506,618,761,
833,251,608,234,487,743,275,411,975,652,245,533,379,225,708,605,430,221,634,
936,649,824,856,920,043,052,558,733,600,786,789,895,039,042,638,715,365,971,
042,229,315,737,142,322,006,757,951,464,761,774,254,252,720,519,469,772,518,
611,621,546,066,813,827,770,969,971,099,840,526,929,994,201,189,255,769,363,
200,734,071,159,332,824,142,440,440,763,640,574,242,423,848,598,898,285,168,
906,823,281,392,382,630,047,435,675,310,167,584,087,190,508,920,117,629,611,
689,021,783,785,351,724,354,833,705,503,338,124,728,930,538,066,936,399,225,
205,254,535,229,169,825,117,160,034,529,641,099,385,924,629,143,199,828,914,
285,086,697,801,848,578,303,129,245,668,397,336,800,396,421,323,269,925,921,
054,453,905,134,629,865,498,491,858,224,682,286,266,322,942,120,139,816,476,
669,434,590,035,746,392,239,553,219,506,100,554,772,802,844,208,273,546,152,
321,532,867,620,152,016,583,609,940,627,524,001,944,041,076,354,236,437,844,
918,875,311,156,572,345,792,896,341,432,849,341,092,555,041,073,740,820,827,
810,199,107,477,153,252,278,913,274,288,518,388,093,599,249,672,043,659,753,
811,298,771,329,719,858,876,973,223,175,207,631,479,547,349,203,154,467,182,
029,646,028,645,142,880,476,602,854,250,360,190,053,831,712,100,881,941,169,
260,176,440,829,828,466,948,910,720,750,945,975,917,424,693,475,126,276,698,
620,278,459,445,352,040,764,886,689,302,921,384,269,145,076,371,159,958,207,
487,468,893,280,206,151,220,521,978,090,321,970,817,907,439,537,190,473,098,
234,925,853,326,209,796,099,453,295,459,494,849,910,257,883,866,781,729,331,
916,722,787,173,537,217,714,147,017,114,818,176,458,527,071,123,240,778,168,
463,861,117,131,616,855,366,612,046,779,177,726,370,994,400,936,917,184,423,
549,601,539,621,840,083,182,692,547,907,538,462,361,051,083,314,970,672,820,
472,893,780,329,583,692,076,483,786,902,922,402,453,971,968,748,222,393,309,
399,504,614,845,231,803,648,186,686,257,364,169,545,312,157,387,192,110,797,
986,561,818,721,674,639,147,521,134,380,622,407,709,573,999,695,249,261,805,
190,304,609,039,237,350,254,202,680,908,102,683,352,025,661,603,673,637,581,
459,970,218,431,026,094,991,814,635,658,672,648,211,752,866,122,999,831,864,
242,647,641,539,263,539,149,888,203,942,947,302,248,025,534,071,526,029,842,
041,094,643,936,373,948,471,593,749,218,104,353,527,354,674,831,632,584,100,
991,898,205,707,566,375,826,174,811,591,139,168,756,050,055,035,861,910,391,
822,755,016,283,623,231,666,272,862,862,370,762,226,466,225,978,365,383,886,
181,411,142,132,361,885,380,461,259,904,656,562,958,822,999,440,352,617,656,
094,371,945,798,054,499,846,744,063,544,844,221,999,752,058,760,586,037,017,
875,295,270,041,450,321,683,247,341,959,759,108,939,622,758,754,519,003,591,
811,253,723,769,324,706,351,367,929,146,844,107,002,404,967,959,527,028,859,
102,256,040,606,864,514,942,202,679,183,977,003,976,143,153,770,838,695,131,
581,106,832,808,619,138,286,596,784,566,931,474,774,848,444,417,556,059,604,
530,468,502,994,930,834,572,176,053,088,577,935,866,124,607,046,732,613,739,
524,088,504,456,951,828,574,579,133,377,483,551,862,135,675,104,680,808,726,
175,113,005,667,634,116,611,853,499,446,616,676,001,320,727,380,814,343,131,
721,068,409,277,441,279,098,685,756,352,687,679,556,771,252,984,087,738,866,
751,861,633,762,189,935,993,203,760,616,152,849,504,447,365,073,288,412,298,
675,844,474,979,306,923,518,850,512,265,802,762,180,997,218,822,665,606,076,
400,258,534,889,859,185,546,938,391,443,478,175,914,655,079,800,967,324,081,
755,404,181,137,142,871,116,910,726,565,987,986,933,851,313,762,021,488,643,
273,350,070,672,322,395,994,305,730,420,041,930,971,518,166,315,219,592,158,
009,335,155,634,566,545,153,602,298,661,637,566,256,457,950,417,820,309,844,
373,929,662,051,072,714,679,800,772,608,337,204,032,546,085,935,318,024,811,
029,754,926,098,932,299,773,050,794,499,229,403,830,282,796,819,316,509,103,
498,524,417,193,867,976,942,424,302,395,759,102,058,066,781,397,903,421,087,
668,285,069,914,788,296,483,028,059,048,192,183,884,604,617,767,939,102,544,
157,252,578,807,512,630,944,308,494,341,916,258,186,187,370,914,525,703,739,
421,112,435,525,554,827,809,731,760,502,679,050,729,511,343,780,771,608,388,
073,000,960,039,434,980,508,141,437,410,266,240,351,741,162,506,868,888,229,
666,058,656,106,775,403,738,404,380,696,104,453,161,069,950,712,888,068,683,
753,183,828,916,068,209,813,723,282,986,580,945,656,844,371,489,996,189,100,
795,830,862,134,303,995,011,279,509,173,166,032,874,194,459,109,976,505,212,
655,448,283,857,740,239,233,638,232,547,695,023,378,115,722,959,398,986,049,
118,644,838,595,881,336,509,702,985,747,699,984,572,497,469,446,484,104,676,
463,413,564,985,394,213,412,701,344,790,221,696,465,710,430,527,798,466,686,
168,478,245,885,912,952,542,518,792,230,877,668,149,822,739,684,973,050,291,
444,958,828,917,288,867,834,971,842,879,164,616,850,293,446,641,926,878,593,
375,995,423,858,174,911,588,827,724,589,405,700,191,459,875,079,815,951,269,
710,943,073,868,857,816,556,211,906,947,338,500,116,510,343,321,561,418,187,
336,177,486,505,767,948,849,242,658,462,701,299,934,750,494,067,358,222,178,
213,756,050,923,482,644,472,645,494,163,033,837,344,360,093,048,124,696,299,
154,475,019,407,104,648,382,090,270,926,997,264,520,530,205,814,865,866,184,
081,425,002,619,475,561,170,235,024,048,491,883,378,127,667,028,950,821,357,
420,415,237,676,842,584,653,298,072,501,526,975,105,757,555,658,728,618,072,
814,349,793,576,352,381,299,636,032,233,836,850,764,605,861,080,278,151,789,
673,355,146,167,086,175,958,744,170,273,523,197,081,677,669,810,709,546,593,
936,194,602,533,806,019,184,977,953,617,423,592,105,054,291,200,965,927,843,
803,654,975,908,546,826,894,661,759,467,356,047,430,606,741,879,720,779,834,
279,220,093,782,908,391,568,580,378,642,697,462,429,763,785,055,037,089,268,
931,308,078,506,770,175,107,066,881,177,286,457,596,078,231,958,993,803,362,
793,257,800,702,577,330,929,484,101,668,821,775,652,530,706,642,665,906,998,
496,333,313,196,110,595,760,570,898,904,980,877,379,316,502,160,879,471,906,
815,628,604,161,284,639,835,289,986,960,691,492,588,880,106,362,624,918,804,
018,392,750,188,611,304,395,952,519,881,780,732,430,779,294,936,299,870,337,
691,167,915,994,942,617,823,227,995,352,779,211,452,769,512,743,315,746,992,
857,724,865,278,450,160,492,338,222,519,602,459,765,806,689,066,268,338,212,
463,668,118,291,423,362,305,303,459,566,795,127,078,220,998,212,693,044,172,
015,850,536,399,566,394,533,007,469,175,507,302,341,508,053,326,799,128,089,
195,709,572,590,176,281,081,792,701,460,603,601,347,305,765,333,898,024,671,
181,594,978,118,423,242,533,513,985,572,425,522,655,653,584,506,794,167,072,
339,898,173,435,885,336,252,617,942,678,132,189,987,457,958,006,257,775,703,
025,482,431,634,779,910,621,523,117,814,643,420,615,923,502,967,215,762,456,
688,318,145,590,169,147,782,197,133,510,337,889,561,150,561,557,681,769,339,
945,469,839,431,149,039,524,323,816,411,619,095,256,932,695,281,190,407,149,
546,872,641,937,333,600,595,156,316,480,227,089,618,470,272,594,089,180,903,
242,303,687,858,998,281,366,754,848,404,194,771,192,215,794,209,740,789,554,
825,462,359,874,040,446,953,193,787,608,165,885,886,285,740,631,951,746,587,
050,624,966,999,308,999,089,009,503,593,228,104,575,007,120,942,217,731,469,
000,975,819,704,293,295,298,295,692,481,907,338,936,152,742,042,966,339,221,
402,991,145,806,123,413,839,029,457,558,405,530,003,897,858,060,706,251,848,
970,759,630,283,492,280,722,004,651,510,088,453,790,394,775,012,284,348,808,
372,533,250,435,244,642,186,004,867,887,030,914,703,378,547,311,862,245,683,
713,786,788,613,195,335,804,369,293,056,946,161,166,492,202,133,664,006,515,
041,707,349,596,925,317,894,716,589,310,775,772,240,117,720,159,449,814,614,
250,411,565,786,427,149,218,723,654,965,822,655,672,329,763,346,973,277,402,
680,684,432,588,786,873,968,302,184,718,620,615,917,914,319,337,874,972,294,
420,711,308,179,726,849,738,788,341,717,783,382,352,237,115,647,487,198,786,
117,983,283,251,831,154,726,519,970,073,058,500,578,036,549,227,534,812,347,
953,964,049,633,668,296,297,643,727,026,552,604,430,028,105,712,545,634,734,
729,405,756,048,115,355,596,415,755,428,918,381,920,131,899,751,266,538,455,
605,237,454,834,241,977,446,273,614,326,082,046,636,543,675,649,044,079,257,
715,392,071,295,662,554,854,366,469,678,018,761,131,830,512,715,396,823,987,
634,825,089,015,380,225,492,972,529,638,496,073,230,174,021,272,436,944,204,
828,026,176,606,643,986,154,213,813,595,931,202,309,950,404,846,073,352,708,
595,579,666,647,809,189,359,941,100,708,373,929,255,295,203,468,665,375,174,
286,196,056,140,562,375,199,702,927,942,312,949,304,726,423,055,017,392,761,
902,389,804,726,727,630,016,294,011,797,293,799,521,925,598,437,079,888,910,
813,198,620,691,550,456,954,340,966,280,394,915,220,634,914,190,949,595,963,
334,933,087,562,941,312,137,369,115,519,612,260,191,620,618,707,372,892,967,
809,004,411,894,008,592,903,021,059,855,747,033,420,885,632,597,260,150,339,
074,830,314,329,385,407,844,772,191,667,966,668,264,447,567,566,111,586,781,
312,457,018,957,217,646,489,681,429,383,511,635,181,769,173,957,598,782,712,
107,308,715,707,164,580,129,468,829,115,889,392,457,314,788,117,270,696,018,
479,644,817,680,603,069,847,871,665,896,328,865,936,391,156,339,292,197,783,
017,838,483,150,405,137,761,693,303,335,413,225,271,394,383,850,588,101,543,
585,250,550,370,952,319,640,664,919,595,357,875,278,182,106,849,177,065,719,
090,172,855,294,741,678,077,334,177,137,747,114,365,800,133,737,917,408,405,
314,522,774,554,316,624,687,528,562,089,265,483,489,345,766,930,655,167,796,
553,000,758,421,637,731,743,499,974,143,509,956,930,429,271,626,678,060,133,
612,418,024,957,417,974,871,423,891,353,224,200,638,394,554,088,104,820,540,
030,950,969,593,656,147,268,742,245,604,817,804,429,409,476,830,151,978,652,
952,848,609,752,654,703,978,345,317,741,256,579,494,136,346,733,478,915,938,
075,900,729,070,923,394,374,354,540,954,525,829,094,141,917,316,241,428,085,
596,234,875,589,881,952,303,503,486,647,623,700,016,867,810,389,299,934,583,
629,155,063,905,706,031,890,887,868,311,017,105,206,541,977,256,905,486,159,
484,671,812,714,905,999,074,639,643,206,455,515,702,688,353,964,778,395,304,
847,975,838,285,893,194,557,363,901,709,319,001,901,996,401,804,646,280,952,
521,316,115,047,269,961,537,581,086,652,064,123,715,286,029,810,227,367,629,
878,632,377,557,511,426,059,802,317,783,660,525,734,599,017,940,961,944,368,
717,253,961,873,854,663,737,969,387,655,603,124,597,930,549,363,754,178,274,
302,703,978,995,328,082,411,530,685,481,449,029,386,779,904,483,422,331,913,
973,366,566,177,171,829,495,123,064,762,819,932,516,311,702,696,308,533,855,
790,531,149,212,673,261,722,992,575,331,769,510,571,032,450,114,480,707,317,
300,078,643,326,129,944,658,447,784,036,402,202,944,402,094,791,693,601,156,
663,533,223,687,517,152,311,850,380,257,978,967,035,774,541,895,830,392,034,
162,192,206,400,688,330,216,063,629,509,451,243,144,594,313,840,775,961,063,
141,789,733,077,551,155,690,856,827,930,242,175,528,873,281,653,491,077,887,
289,772,684,488,638,022,981,725,761,233,168,333,373,948,852,057,731,066,238,
261,722,311,482,809,074,202,922,532,457,920,981,409,735,172,276,224,533,602,
464,710,755,476,446,903,578,092,314,086,450,842,065,345,146,954,319,695,903,
314,958,519,096,428,151,319,556,127,448,174,504,245,765,065,564,351,367,051,
379,351,635,366,011,670,710,491,612,472,850,014,230,936,151,331,269,293,202,
855,751,385,740,607,600,772,496,852,273,044,326,048,725,896,481,160,936,776,
274,329,969,879,564,823,266,056,071,970,743,969,132,757,895,994,411,671,596,
390,749,793,553,168,872,931,063,439,650,413,592,837,871,061,501,224,968,965,
783,667,612,035,203,362,481,651,035,783,950,084,589,686,755,310,790,232,874,
941,488,123,933,155,778,498,931,843,240,677,182,049,245,912,507,743,046,497,
375,504,261,777,443,797,905,167,280,450,667,516,022,433,820,163,293,795,309,
860,249,217,064,025,186,264,622,231,778,919,940,940,773,638,143,960,225,725,
888,671,147,282,244,792,250,511,847,512,987,779,174,394,526,952,436,752,336,
242,790,428,721,055,423,733,575,125,416,356,754,873,919,388,863,057,688,735,
648,379,848,175,903,591,007,581,200,148,061,413,611,979,357,567,864,386,952,
476,803,467,344,627,276,373,452,994,350,755,365,266,774,773,354,407,925,375,
327,520,594,839,195,179,363,402,145,317,244,259,452,267,107,782,719,550,297,
257,848,899,933,613,233,514,157,977,815,531,906,512,211,519,271,207,665,577,
248,701,866,732,146,154,373,590,834,619,615,741,005,603,000,655,056,267,095,
742,578,173,684,973,604,922,785,010,351,090,199,557,853,512,732,560,835,723,
908,565,053,028,796,422,276,300,881,541,021,123,028,588,859,009,045,471,951,
754,942,412,745,483,611,296,673,398,768,778,080,333,205,999,328,112,408,260,
878,254,678,247,220,542,344,099,943,976,056,951,489,522,391,704,152,889,914,
435,996,675,577,164,780,031,327,459,287,017,379,451,689,471,360,041,900,512,
858,160,489,724,922,980,159,729,040,517,354,744,027,510,774,223,791,576,155,
186,659,530,227,288,702,095,094,734,476,041,126,822,830,947,764,913,519,265,
571,221,977,913,079,641,397,682,439,883,000,406,183,499,814,618,725,326,436,
166,452,510,831,420,673,708,454,212,075,241,104,437,599,605,850,920,396,405,
076,792,964,137,913,605,684,867,173,337,895,951,496,662,980,718,187,238,602,
802,266,617,945,238,416,339,326,630,323,531,761,156,102,410,300,989,711,284,
223,494,096,624,855,895,846,975,773,611,571,374,668,568,045,475,929,363,849,
133,718,444,154,496,118,670,725,820,383,442,488,257,307,616,934,358,756,009,
949,375,349,266,816,014,447,624,024,450,342,766,950,045,050,865,667,155,558,
427,557,476,752,304,478,988,173,346,401,011,079,600,494,399,946,778,058,105,
985,042,209,351,347,837,239,540,709,170,465,910,050,699,482,851,209,647,285,
582,772,715,219,548,135,682,664,997,684,155,823,973,804,158,552,777,037,731,
730,474,076,651,986,889,792,510,655,147,501,521,072,702,539,486,142,013,529,
017,512,093,116,648,090,793,041,974,294,747,310,253,522,662,415,995,310,715,
264,112,628,678,745,815,921,510,787,858,176,524,889,146,825,156,450,617,035,
494,730,175,064,124,110,728,154,349,596,722,340,894,833,045,653,748,985,176,
136,427,009,346,317,703,594,566,991,855,995,752,221,536,036,026,647,440,678,
925,039,973,775,281,596,795,950,383,397,225,824,386,471,225,313,759,932,059,
941,411,698,895,176,170,451,531,140,557,585,565,477,870,028,665,136,240,349,
955,177,640,170,481,371,670,373,808,465,431,482,596,798,603,830,797,105,533,
494,871,209,557,593,109,227,701,219,216,319,839,127,500,751,661,557,865,058,
012,429,885,339,139,216,383,025,858,959,665,333,627,892,374,468,100,396,733,
122,070,732,817,391,286,056,065,913,546,075,871,576,101,886,948,159,260,021,
396,664,341,780,807,628,155,127,256,483,012,384,593,383,430,462,074,351,460,
570,314,280,965,442,693,099,464,971,602,761,603,965,663,091,843,892,960,467,
093,282,416,946,275,675,660,842,320,488,715,922,701,582,598,512,550,713,138,
480,579,324,037,936,429,425,563,724,173,463,043,345,487,958,635,335,813,552,
372,764,722,195,629,122,663,163,012,331,579,981,314,999,318,727,113,179,294,
058,566,887,468,862,726,931,357,540,023,047,932,281,996,216,550,403,676,795,
434,149,742,999,948,257,759,594,505,558,998,583,173,458,777,604,330,066,088,
718,229,581,539,383,679,524,062,057,784,268,798,210,189,828,580,485,231,072,
716,587,540,003,751,920,144,092,126,000,236,675,974,493,770,567,612,038,142,
732,231,909,157,950,476,118,069,843,896,234,575,707,050,785,615,760,499,230,
542,766,032,552,967,298,116,679,418,260,133,807,273,306,430,721,761,500,587,
781,899,321,961,602,991,390,944,433,956,509,485,793,605,825,173,967,696,353,
749,986,739,525,951,093,756,096,409,342,276,274,169,411,626,390,047,106,141,
735,477,398,819,946,599,812,035,777,546,259,906,026,421,742,016,103,327,441,
825,101,541,206,964,414,027,610,681,071,812,066,817,620,637,026,935,277,820,
706,507,818,973,166,778,548,698,003,346,322,151,005,026,764,534,448,944,599,
862,429,458,425,969,701,770,921,568,073,029,556,366,019,800,494,280,778,232,
929,613,393,632,904,387,348,733,678,457,214,696,193,227,807,083,154,330,898,
946,275,294,420,230,618,240,597,091,745,894,708,299,703,708,592,935,780,932,
474,482,528,148,703,634,347,748,986,106,008,381,445,361,199,227,091,049,245,
002,310,790,325,538,851,410,798,329,137,377,005,484,518,530,646,083,796,257,
173,236,870,451,806,106,128,749,365,011,135,833,271,285,158,921,734,761,364,
940,415,979,391,084,254,609,274,239,646,078,300,880,264,722,563,405,584,590,
126,211,642,822,409,886,118,390,152,665,144,456,911,984,928,739,924,064,105,
635,137,860,075,264,958,870,354,019,278,824,044,338,208,319,002,373,537,109,
730,732,851,064,140,486,523,798,139,504,607,378,376,696,807,459,408,899,731,
114,575,212,309,038,249,310,908,711,692,893,608,689,337,975,431,051,323,621,
541,130,992,387,164,594,648,058,039,409,124,372,944,153,984,671,219,775,154,
706,708,780,773,104,490,363,240,432,129,759,051,539,305,361,866,537,765,398,
223,569,803,853,934,061,296,995,609,351,761,656,075,954,168,822,653,213,792,
537,346,632,692,617,582,430,497,822,853,598,612,616,640,969,789,577,126,696,
224,016,293,596,200,640,555,093,149,182,765,271,104,371,234,443,080,372,707,
312,478,447,864,083,834,154,020,794,359,077,962,082,287,653,404,938,179,864,
808,231,284,775,961,297,043,782,753,547,280,079,765,208,982,617,334,695,145,
616,238,578,162,695,322,834,245,704,839,548,239,862,709,601,931,622,544,136,
441,009,998,004,175,760,799,764,636,162,938,430,945,713,974,706,243,139,287,
995,124,684,450,703,405,521,166,306,640,360,746,031,344,382,181,719,462,515,
116,336,955,951,506,940,057,420,868,574,066,298,576,485,494,705,609,775,534,
065,459,064,442,192,890,222,314,834,696,506,068,184,848,216,253,603,616,070,
083,360,996,600,510,222,351,946,085,186,065,218,805,109,101,458,666,130,446,
582,879,837,127,993,947,459,653,236,294,572,669,822,395,164,713,596,750,342,
924,890,660,364,143,375,521,089,520,149,927,539,069,230,543,973,631,869,817,
548,863,545,403,831,242,649,081,829,139,464,715,311,221,042,739,481,965,378,
773,804,632,006,684,057,765,710,793,634,529,506,454,560,893,842,929,209,694,
037,321,749,798,887,861,853,216,924,078,112,906,815,672,900,832,851,461,463,
322,728,294,630,863,488,851,087,005,695,230,497,373,788,498,487,548,751,987,
208,420,193,285,268,764,326,457,027,103,951,664,793,638,211,102,529,967,271,
672,585,900,866,744,876,195,900,807,565,926,287,669,735,466,425,032,637,963,
812,560,389,715,307,971,058,202,330,029,381,418,037,203,298,921,288,346,572,
064,890,679,352,634,722,999,338,650,831,972,345,024,284,523,916,983,332,604,
858,831,751,730,930,211,186,466,781,453,986,937,870,904,538,676,935,944,339,
258,579,444,605,182,601,205,148,254,722,322,188,986,355,108,014,329,933,129,
834,451,562,879,749,534,831,001,688,817,897,675,215,357,878,771,062,826,177,
765,910,357,448,434,719,397,036,291,849,088,109,387,779,862,920,711,572,515,
068,304,904,270,061,514,096,870,708,265,142,134,155,750,499,281,261,497,468,
156,741,581,042,583,120,200,092,659,454,485,498,698,918,214,382,609,749,649,
866,645,985,243,741,155,890,209,235,168,203,669,678,397,331,652,272,524,632,
216,291,739,413,689,783,714,491,179,637,138,606,745,040,685,903,407,972,684,
301,997,053,817,905,169,400,945,809,964,183,933,377,668,211,746,783,296,128,
238,549,403,197,829,726,067,485,380,343,924,509,275,587,167,301,579,097,632,
311,703,294,895,737,736,346,301,523,302,479,712,761,843,914,863,765,837,371,
106,536,491,567,442,042,443,920,568,140,207,715,608,568,298,888,762,556,105,
938,892,743,648,044,767,275,082,690,646,948,538,290,114,078,803,851,340,515,
949,384,515,261,219,740,419,674,770,663,330,641,666,498,138,875,389,595,566,
090,985,194,314,981,162,010,605,443,016,781,986,085,222,831,827,681,671,754,
075,194,871,465,555,788,787,608,464,490,350,476,469,623,665,123,484,522,801,
719,407,364,840,470,212,554,346,233,131,699,606,139,925,290,237,651,652,663,
420,909,318,505,416,507,691,759,745,490,946,707,953,165,059,270,682,115,726,
773,110,417,399,876,256,066,606,387,041,534,205,890,592,175,489,192,932,699,
301,788,335,781,677,953,024,736,662,397,275,291,094,412,081,381,897,777,548,
626,661,033,802,626,705,577,408,250,453,575,732,328,227,211,575,307,970,002,
122,619,922,413,161,786,973,536,577,975,468,830,834,679,278,282,809,039,482,
710,441,585,516,089,162,379,256,337,706,065,297,041,020,099,518,282,249,881,
506,414,537,329,541,083,149,191,856,225,172,037,683,516,844,881,443,574,970,
033,821,687,751,863,945,976,521,808,493,239,268,179,793,252,893,362,913,823,
869,679,269,471,535,226,163,527,116,377,523,108,957,252,597,440,720,175,007,
966,271,990,725,556,669,892,801,099,423,956,106,663,778,017,226,366,115,115,
929,379,010,260,536,136,389,954,527,600,908,019,813,318,286,423,691,152,385,
577,886,135,888,626,078,097,939,326,258,872,996,879,415,550,763,714,422,378,
993,854,472,376,684,302,836,306,422,132,766,976,142,973,847,325,738,347,160,
377,339,370,673,714,359,892,235,098,101,810,415,343,474,733,969,783,327,870,
082,640,650,462,571,549,279,674,151,578,335,357,363,316,243,368,751,025,322,
580,847,784,031,941,873,465,673,816,846,822,713,195,072,245,386,942,218,728,
688,775,025,773,928,617,998,407,492,957,256,972,365,780,643,110,179,216,944,
540,686,595,654,076,696,867,558,011,969,626,331,421,978,840,078,997,126,064,
236,580,123,170,321,247,602,059,563,805,188,340,809,555,583,707,116,057,334,
887,636,533,603,828,632,938,553,677,759,989,784,633,763,965,480,509,892,025,
730,091,655,739,976,564,575,453,998,446,416,474,683,558,574,245,157,701,713,
980,020,210,383,663,859,518,326,508,500,283,756,152,585,320,449,820,907,899,
385,660,247,573,169,125,380,559,060,220,601,363,088,463,384,099,155,382,721,
168,346,050,870,361,531,546,239,510,955,652,781,393,337,170,958,186,639,336,
900,354,494,753,962,719,706,628,916,785,626,325,771,924,228,359,601,227,743,
753,009,139,990,521,340,420,614,912,830,578,947,998,544,876,306,200,627,541,
410,220,488,693,301,313,752,986,194,867,089,258,380,814,707,148,163,592,641,
293,904,299,059,918,792,301,131,931,417,812,210,019,321,598,499,675,755,791,
699,645,925,304,138,609,987,914,810,312,428,558,849,937,084,927,472,743,454,
924,548,875,057,589,557,827,605,663,059,320,405,048,685,165,203,185,900,122,
722,051,133,178,003,975,516,376,134,216,473,025,720,790,682,548,472,262,814,
055,935,037,909,197,720,498,908,722,944,597,710,729,092,200,626,954,822,540,
716,621,070,279,107,091,606,563,161,180,108,750,625,741,958,180,541,638,325,
235,398,724,120,963,587,922,075,725,107,646,083,962,865,596,609,074,276,935,
239,505,778,610,726,218,924,692,071,301,643,937,663,564,116,303,649,522,020,
625,498,262,243,263,147,293,499,476,174,951,986,942,205,792,707,132,485,498,
991,088,445,759,378,634,309,879,523,577,999,689,057,832,591,419,912,987,055,
833,293,098,788,269,712,764,491,447,006,530,678,899,385,942,034,951,585,829,
735,148,640,933,174,784,943,426,764,899,965,746,456,121,851,333,233,077,749,
737,317,014,889,367,586,814,124,902,927,155,593,697,234,637,900,233,156,083,
593,893,787,224,401,163,299,640,570,414,751,021,094,735,024,116,416,432,527,
117,390,681,237,732,014,854,234,117,473,128,308,083,885,312,766,508,757,859,
232,174,071,436,340,230,612,883,790,103,859,969,133,953,765,399,561,915,709,
657,474,264,408,474,779,722,600,887,374,478,458,425,515,314,501,792,474,307,
339,295,389,887,225,191,330,714,066,500,968,680,049,330,591,024,386,038,680,
012,907,579,656,121,702,433,604,052,417,374,793,119,803,418,913,729,197,728,
256,998,756,946,583,436,935,571,151,866,816,253,391,978,781,586,778,059,043,
333,502,878,030,816,625,168,044,097,317,755,822,309,913,356,585,802,252,266,
657,335,171,915,788,906,788,049,894,374,599,806,061,487,613,356,075,440,140,
325,468,860,731,611,850,479,515,825,001,543,729,838,116,446,750,393,873,070,
455,359,937,853,514,632,779,135,355,253,888,072,052,110,443,251,774,189,545,
040,905,079,112,699,252,925,481,502,907,121,596,958,890,785,395,624,697,601,
163,963,230,613,742,526,055,842,114,013,042,751,607,658,690,313,243,674,861,
545,467,586,314,714,383,815,361,500,976,103,465,456,802,278,433,273,040,357,
401,007,142,651,430,034,112,675,233,296,023,860,944,492,870,917,533,314,234,
863,931,183,814,319,196,569,633,616,556,654,620,447,615,839,096,697,445,725,
135,941,620,011,874,497,324,157,253,486,933,008,411,087,675,455,884,672,649,
417,514,359,531,471,416,626,946,874,325,041,392,997,544,887,946,665,519,570,
720,210,988,188,309,731,035,845,270,471,615,181,036,271,553,063,226,403,267,
772,908,763,050,813,224,444,549,226,224,763,297,492,393,574,890,544,055,009,
404,878,650,330,114,006,925,036,764,480,575,498,850,811,506,974,130,338,564,
172,495,625,336,039,953,712,090,813,233,171,940,969,422,567,819,677,682,927,
972,519,538,241,414,624,164,581,556,869,411,297,631,902,215,198,000,783,068,
590,426,911,870,907,392,917,322,811,496,834,436,468,865,780,907,434,711,946,
630,739,176,022,657,405,162,105,794,501,611,547,612,674,838,254,566,788,614,
169,282,506,917,867,508,698,503,598,101,021,041,255,709,758,032,208,033,823,
728,576,377,766,491,045,674,714,996,800,367,203,739,280,640,023,931,496,023,
615,315,165,186,927,742,970,790,795,290,422,699,865,276,418,800,589,016,323,
530,201,190,718,925,597,961,234,523,202,435,571,046,299,300,939,664,959,237,
853,773,941,174,207,356,827,613,281,251,227,503,685,380,122,541,425,437,619,
060,755,957,697,499,267,738,982,158,793,519,536,912,502,936,715,201,951,573,
279,998,836,605,963,514,242,311,341,438,300,049,779,185,522,146,596,593,080,
074,315,276,748,286,653,627,758,486,576,881,488,061,502,964,764,425,563,911,
935,822,556,359,444,575,152,692,615,491,267,934,859,187,621,847,184,987,965,
031,286,402,173,617,851,411,729,237,211,200,517,700,680,824,026,011,052,631,
057,208,174,335,007,000,442,893,002,255,108,004,935,779,238,327,506,853,361,
837,726,543,526,859,513,207,268,306,634,567,853,993,296,847,166,901,503,156,
733,777,294,944,692,076,450,999,786,470,713,989,761,004,487,177,853,016,829,
040,320,715,358,830,690,824,197,421,428,729,697,291,336,729,931,739,980,481,
861,974,846,836,010,048,316,351,615,415,520,428,691,819,255,771,489,820,512,
031,954,550,090,321,204,598,621,864,413,393,338,011,324,658,241,786,049,747,
676,488,298,920,021,865,738,743,772,570,330,913,916,500,157,726,948,882,454,
097,226,936,687,924,198,260,923,277,721,444,392,409,371,908,999,715,992,329,
814,247,112,960,391,584,540,448,061,962,743,886,440,698,190,529,310,845,859,
433,531,602,622,546,667,057,443,094,747,577,432,811,303,895,540,387,119,056,
569,170,792,309,882,221,835,077,002,630,177,711,634,189,356,058,419,669,019,
610,014,387,081,311,129,001,251,228,953,474,157,877,157,573,906,375,715,739,
797,566,762,175,830,127,876,233,463,235,774,547,918,763,329,230,787,292,916,
380,236,240,267,818,963,148,709,900,778,177,065,543,547,437,441,296,341,216,
031,655,319,667,714,368,641,701,760,369,815,578,236,393,573,242,669,130,418,
789,325,368,131,393,996,220,179,163,527,446,378,845,044,538,704,261,647,915,
400,257,794,495,550,448,970,893,282,160,257,220,705,052,208,400,507,094,063,
003,650,058,922,296,406,182,280,586,063,706,271,121,944,762,479,236,712,337,
049,272,164,108,333,601,671,201,538,270,562,354,863,201,168,234,239,446,601,
683,407,536,722,684,793,502,188,033,829,892,394,177,605,314,162,032,278,001,
528,188,162,274,158,200,927,688,423,934,492,518,029,337,518,838,185,054,487,
825,484,029,416,274,580,144,866,993,017,424,659,419,296,123,530,556,433,940,
596,646,659,264,922,177,573,164,473,970,170,613,667,974,155,233,604,654,152,
110,269,290,832,585,249,140,006,942,739,116,094,093,266,564,907,775,094,859,
558,825,493,942,098,543,640,351,443,294,371,953,530,157,633,060,901,093,479,
767,282,634,538,601,312,935,124,882,215,679,839,164,249,240,238,149,599,669,
013,870,269,008,029,949,747,509,339,001,960,880,386,745,561,462,559,111,369,
213,487,078,736,087,570,032,638,752,692,600,446,845,614,896,331,387,292,611,
075,908,609,266,743,224,326,539,562,232,407,192,638,610,931,589,374,535,959,
356,148,172,074,841,946,616,892,370,773,119,047,208,348,947,972,799,221,947,
762,475,557,884,627,503,519,715,666,853,106,583,289,114,428,189,263,336,681,
261,951,022,576,381,440,794,636,692,581,803,064,387,506,423,187,773,626,171,
775,970,537,454,928,508,041,555,772,823,089,330,255,136,914,926,109,483,673,
363,358,508,676,674,341,662,917,361,198,838,437,728,644,599,494,787,241,726,
357,738,698,675,052,222,305,484,763,047,851,655,999,248,213,089,150,298,608,
190,762,205,665,911,482,496,922,380,305,785,916,479,674,933,264,772,748,807,
365,495,600,147,138,878,987,289,694,151,651,139,416,620,069,980,557,797,993,
667,250,506,233,164,076,873,641,281,461,648,649,993,178,081,429,625,285,428,
088,440,698,568,415,085,038,398,709,607,594,456,956,905,835,560,475,123,813,
174,664,221,695,135,421,283,326,944,319,970,360,585,373,892,878,989,473,532,
203,581,244,893,962,641,131,316,227,956,092,624,875,376,604,997,252,595,144,
482,635,799,257,818,857,064,389,896,894,001,916,117,045,911,143,077,538,272,
775,997,249,891,519,355,068,706,670,264,300,233,656,218,279,847,242,379,207,
229,901,490,208,473,531,343,552,968,289,485,021,461,748,968,890,372,180,742,
083,330,057,194,446,515,994,496,619,517,821,218,418,331,443,841,428,783,125,
450,144,282,835,180,119,595,828,221,824,759,569,729,994,341,047,662,445,667,
959,131,395,292,940,012,410,136,382,218,265,571,013,904,069,393,237,106,249,
860,425,564,749,212,179,781,494,944,801,703,331,991,568,449,504,294,429,675,
247,077,413,305,359,285,832,627,656,677,353,010,839,151,841,470,489,744,941,
523,768,420,178,987,792,455,154,399,643,691,592,554,762,847,574,200,491,995,
286,164,736,348,379,642,185,565,785,613,748,492,854,457,671,818,649,258,211,
880,276,986,842,285,193,739,202,140,934,230,994,688,669,669,878,197,122,206,
307,732,622,359,608,778,150,223,689,558,873,302,639,318,092,635,586,093,210,
757,449,903,569,571,777,065,636,232,204,745,558,463,972,473,503,084,553,094,
744,830,963,433,046,901,326,486,002,017,281,918,587,171,059,267,664,643,006,
436,384,400,138,749,503,161,788,630,893,059,243,703,090,543,005,471,890,307,
932,838,411,434,138,056,759,691,182,166,312,600,991,617,351,072,656,613,897,
843,088,786,883,713,527,171,292,025,859,903,824,659,516,989,070,617,766,305,
659,766,107,919,082,342,752,563,285,468,505,314,474,200,934,753,367,499,132,
448,164,862,157,478,270,672,110,650,236,790,454,148,986,507,114,313,274,632,
209,125,027,096,258,490,157,947,449,381,145,662,937,088,044,032,618,146,279,
225,504,171,863,450,803,671,220,486,072,380,132,216,915,293,965,380,487,142,
999,903,252,362,167,752,468,057,076,222,930,241,520,852,623,163,070,195,383,
245,833,128,321,613,597,245,194,551,961,940,879,974,690,642,958,227,364,735,
492,584,650,981,416,690,912,064,524,683,078,066,265,465,268,808,965,207,894,
366,068,278,833,630,182,705,578,041,477,441,132,901,448,320,772,839,591,064,
800,173,962,882,586,445,325,885,591,334,953,327,276,426,634,389,317,122,513,
352,709,204,790,731,188,797,501,675,691,136,332,044,456,872,665,143,889,196,
663,091,621,638,708,895,248,756,075,531,969,356,647,223,752,462,729,709,942,
744,251,819,446,557,942,073,577,662,389,218,966,068,527,478,568,650,083,925,
423,167,919,227,527,329,292,130,312,941,694,772,291,063,415,790,764,012,791,
129,459,509,890,527,953,685,826,617,737,933,695,153,731,802,966,967,626,339,
905,423,395,778,228,581,294,337,198,618,016,379,527,986,242,991,359,413,435,
447,831,800,748,455,568,468,481,458,859,682,045,304,283,927,975,229,343,162,
160,882,816,802,368,926,291,856,961,700,326,543,383,246,417,267,857,406,288,
660,368,831,294,080,361,552,390,727,696,286,715,885,086,086,987,873,329,353,
224,929,070,045,985,450,432,968,178,007,695,853,718,310,658,853,304,625,460,
715,865,410,442,825,063,533,187,844,712,634,193,655,410,467,539,482,399,953,
302,731,850,482,811,011,688,683,356,726,003,445,968,537,290,400,242,641,402,
275,658,852,543,770,800,586,644,384,829,996,928,135,277,582,467,858,069,775,
703,501,443,612,533,450,717,616,435,687,189,732,884,730,182,200,548,526,004,
358,595,956,155,834,105,395,281,186,100,720,675,471,696,305,255,882,280,254,
013,247,480,935,536,326,168,754,578,050,661,313,228,447,398,440,465,120,256,
913,514,662,942,153,046,678,547,100,641,516,360,124,561,536,540,473,380,459,
129,221,219,127,064,263,999,335,880,239,883,032,441,477,698,475,598,272,992,
270,373,366,073,227,283,306,041,329,767,231,819,448,835,374,812,488,225,616,
661,188,984,389,188,881,548,301,164,623,839,915,934,834,077,036,447,913,595,
799,522,640,910,755,588,626,804,027,057,493,667,925,204,346,952,825,763,470,
675,244,522,130,335,447,128,487,718,137,678,130,398,018,285,699,762,643,272,
790,762,126,184,459,536,090,683,276,651,980,438,208,273,439,470,206,798,457,
714,422,363,640,546,159,761,642,214,638,806,765,018,281,029,913,176,715,125,
263,964,757,134,391,407,831,190,302,663,918,666,166,059,194,752,690,732,748,
119,031,367,474,854,649,242,943,048,540,987,365,805,611,115,716,742,857,150,
675,944,336,662,883,401,992,903,795,660,416,422,915,700,237,247,467,616,818,
652,692,135,580,579,853,815,950,407,864,946,733,208,906,039,281,211,939,796,
087,882,758,105,253,892,964,344,756,037,104,370,367,505,557,057,461,449,249,
020,251,614,435,598,828,621,165,663,718,969,271,352,759,445,940,816,103,787,
872,971,976,343,911,350,448,653,772,246,844,257,976,735,072,551,515,997,465,
386,155,187,454,185,468,968,638,077,451,857,550,857,910,416,308,594,856,827,
599,765,750,657,976,312,768,624,875,274,616,521,933,431,761,074,467,180,887,
085,473,861,695,280,183,134,703,338,358,105,164,709,543,838,683,320,757,113,
564,045,324,147,491,066,545,301,286,446,391,041,741,552,118,658,944,953,105,
767,317,126,776,019,443,597,940,297,491,821,510,164,758,200,482,505,890,842,
182,972,436,034,515,560,330,911,695,583,886,300,948,085,155,394,928,190,570,
170,534,056,464,701,144,326,579,113,588,306,779,217,966,466,816,630,149,086,
710,424,986,285,490,204,890,336,207,441,736,435,051,314,027,775,520,922,286,
462,712,683,786,805,488,859,262,814,606,211,130,070,108,257,888,240,860,653,
647,889,690,837,049,102,880,616,912,053,669,843,887,216,260,082,620,640,179,
486,755,714,007,681,048,453,098,168,337,913,317,736,610,921,484,280,123,114,
639,797,786,788,023,744,388,594,798,739,028,954,315,554,424,901,328,859,637,
313,765,276,218,451,134,166,348,135,945,856,603,586,437,158,927,345,114,323,
607,378,114,345,299,900,106,498,542,570,924,416,082,680,312,964,497,402,185,
518,364,141,696,879,062,775,979,781,056,120,915,226,381,865,974,271,434,403,
927,702,156,075,705,024,973,840,406,689,975,518,348,740,921,043,722,319,876,
225,648,972,965,642,446,334,506,800,742,034,278,898,810,057,635,161,175,557,
286,634,123,614,706,211,433,497,081,086,271,602,725,132,462,108,042,066,557,
125,743,767,429,007,459,737,374,000,777,311,454,266,611,034,928,486,972,967,
110,752,747,715,914,685,245,547,380,781,123,569,407,589,344,589,602,383,250,
769,822,984,497,406,657,622,069,422,780,684,654,647,687,983,639,832,259,704,
945,556,139,379,264,094,467,493,564,217,676,436,774,146,565,775,500,155,713,
942,612,793,950,244,776,516,095,076,703,640,806,105,149,768,455,645,033,404,
149,294,776,040,350,316,386,416,498,263,315,067,099,652,262,299,232,664,729,
219,705,700,702,603,576,720,321,067,875,853,807,639,679,697,507,135,469,793,
396,452,846,527,331,187,623,999,854,231,189,413,865,073,044,641,106,598,689,
005,059,172,129,598,062,173,491,950,817,572,212,105,156,489,142,368,018,293,
213,229,719,397,657,690,214,874,757,016,766,269,938,439,605,856,162,312,199,
875,790,505,982,439,443,102,996,591,081,989,707,215,016,263,732,658,058,760,
659,544,912,356,744,318,696,012,685,288,913,698,012,913,393,012,485,808,960,
978,100,367,052,200,080,702,183,870,205,680,887,103,478,665,206,828,385,859,
799,224,939,276,992,945,470,643,724,259,662,605,334,419,787,417,906,844,413,
977,935,126,946,471,101,276,024,732,268,959,489,134,663,898,582,457,084,593,
838,413,423,076,246,358,088,390,759,109,543,911,860,690,984,763,891,713,297,
973,428,567,750,223,605,920,777,906,926,582,493,048,937,728,842,009,556,204,
909,606,561,296,253,163,145,869,607,543,248,061,949,679,093,608,514,302,978,
237,888,187,730,021,440,338,375,081,515,407,436,694,551,855,607,018,213,616,
560,737,683,136,888,148,195,139,586,422,588,260,750,376,552,915,586,661,156,
597,383,530,405,033,308,646,230,012,321,988,834,571,576,343,791,388,021,336,
022,284,297,961,860,437,557,045,080,756,785,296,420,945,076,303,572,579,829,
270,711,222,467,209,544,475,154,381,858,782,411,826,488,610,703,684,168,848,
026,669,879,269,994,599,349,280,634,704,247,729,152,249,405,226,402,369,827,
665,845,296,646,936,094,329,949,952,295,682,912,395,477,403,587,617,168,560,
979,636,518,339,853,716,991,244,365,313,500,245,425,396,574,953,037,402,165,
391,893,181,196,557,827,660,469,671,385,782,772,692,494,104,698,002,089,015,
348,341,844,568,059,731,993,973,626,910,728,339,810,757,975,497,439,178,797,
018,492,982,576,830,931,593,174,265,717,080,401,228,166,737,535,796,998,010,
575,734,714,118,056,705,489,408,108,461,182,696,064,983,002,722,126,884,240,
446,714,834,306,132,763,702,480,178,594,291,640,915,081,412,328,170,828,241,
846,527,867,061,729,710,810,039,187,233,435,992,062,811,905,090,455,404,491,
720,291,296,693,530,310,541,384,385,397,651,133,053,964,868,664,067,819,928,
362,985,079,855,789,998,974,147,915,853,209,247,943,082,095,364,779,452,123,
171,408,998,087,465,443,171,590,139,463,731,580,899,939,045,488,861,140,915,
008,525,157,793,597,926,094,820,889,524,857,799,239,496,489,653,393,599,096,
961,380,523,399,673,462,500,937,162,856,051,836,916,561,781,733,585,521,369,
141,208,290,406,377,792,824,920,523,430,929,954,323,781,100,747,465,686,964,
553,822,812,806,086,585,100,035,419,685,410,407,795,088,224,855,964,447,926,
744,099,852,226,383,843,786,910,926,641,086,213,160,264,060,222,193,196,916,
595,717,575,704,112,399,501,410,470,532,323,350,364,501,197,052,443,651,131,
090,348,862,233,826,925,311,575,226,825,934,580,568,545,283,621,618,012,545,
154,478,271,272,599,447,398,233,779,169,836,675,218,896,614,223,864,539,926,
963,833,269,466,661,297,711,593,051,097,388,018,605,782,777,663,684,187,030,
904,851,550,613,862,312,041,502,264,897,305,483,109,952,018,909,018,437,316,
503,464,010,182,944,725,305,053,798,015,209,823,034,904,030,132,103,077,726,
495,219,075,770,972,796,815,346,989,114,653,615,205,147,749,026,742,418,763,
558,638,735,875,609,156,283,054,895,406,371,109,648,605,528,209,301,618,465,
999,568,367,007,472,003,594,775,993,180,189,504,117,601,972,435,158,684,391,
989,999,177,920,877,487,627,893,964,486,784,237,343,034,770,837,774,537,526,
237,887,811,299,128,127,605,772,749,543,380,507,170,112,610,629,017,224,908,
904,452,816,647,310,184,411,210,636,488,934,653,210,096,222,334,970,959,628,
951,949,260,061,782,156,763,969,388,679,547,085,726,960,695,158,025,977,992,
663,238,198,314,714,564,405,946,693,273,155,991,924,530,738,193,147,397,561,
771,616,808,751,881,481,313,387,930,586,115,808,327,633,839,929,814,299,070,
436,558,288,553,110,747,957,783,960,888,996,679,918,207,602,867,545,295,620,
646,932,672,790,085,015,897,578,201,013,065,104,392,359,531,540,686,408,054,
859,812,003,549,395,144,018,429,757,174,542,033,029,703,645,371,394,619,494,
716,758,617,874,136,741,533,386,802,840,452,513,220,166,771,553,905,535,402,
183,723,526,412,147,100,817,445,434,823,332,014,956,236,339,457,801,555,997,
699,452,671,533,841,892,527,246,959,765,766,491,527,375,543,115,807,449,370,
649,984,880,863,512,437,718,134,240,914,616,108,662,105,439,508,076,456,953,
355,774,875,896,432,651,469,503,535,166,958,300,654,245,988,514,646,518,389,
420,975,456,914,621,249,334,825,299,350,285,340,114,746,640,002,710,673,517,
732,267,780,490,236,835,740,792,331,059,575,447,927,568,873,698,608,892,214,
568,635,322,617,117,225,151,387,302,200,800,146,114,026,839,543,297,763,706,
420,750,590,679,905,108,579,413,417,334,548,324,475,202,453,028,709,143,720,
850,538,222,583,403,605,934,804,144,773,049,105,384,349,121,378,047,272,988,
484,547,378,796,905,417,249,954,635,926,466,612,422,326,309,110,515,466,998,
166,083,221,626,207,193,568,610,240,410,236,358,670,058,609,588,531,450,607,
089,618,401,247,229,828,598,409,797,922,245,808,537,923,134,668,565,529,978,
127,928,366,588,295,989,560,683,267,403,536,110,353,177,643,783,922,324,689,
487,885,391,965,361,097,938,806,532,053,897,943,504,139,930,087,892,514,233,
059,939,860,278,030,358,412,605,087,373,566,694,463,013,224,063,896,010,018,
234,104,589,514,146,682,348,019,768,187,221,249,222,979,816,637,200,882,224,
527,489,490,013,476,967,224,053,749,443,928,222,422,528,047,680,497,094,570,
756,435,626,387,546,307,929,517,851,996,084,967,684,331,008,810,671,109,285,
838,652,971,514,330,324,369,739,356,292,000,284,903,667,962,451,395,573,010,
511,780,618,755,017,392,668,868,342,182,314,089,537,156,543,573,519,561,284,
247,036,391,633,465,256,874,066,785,579,539,223,789,204,553,377,075,271,589,
217,743,801,616,494,247,605,132,716,063,428,590,164,096,291,260,565,065,678,
331,581,869,690,342,211,820,136,849,593,488,271,219,208,537,872,380,624,841,
290,075,187,042,370,489,737,819,578,549,164,516,378,185,494,620,072,937,718,
407,999,952,138,147,798,757,038,051,356,191,571,880,030,475,873,927,712,032,
304,284,201,171,149,756,577,331,511,994,104,280,555,384,060,061,034,283,891,
837,950,759,110,824,347,063,909,534,248,641,216,642,493,739,428,338,228,740,
985,160,843,301,521,101,083,920,402,446,158,687,853,854,902,983,629,763,958,
966,238,666,421,259,836,036,515,249,896,886,745,781,883,256,471,150,071,302,
851,629,705,149,016,563,714,479,800,400,710,684,903,741,878,029,703,024,530,
454,950,754,405,116,560,561,549,233,260,092,097,561,335,316,841,940,655,408,
795,230,946,614,633,623,745,746,414,105,221,195,009,099,174,681,685,279,501,
050,266,929,587,992,335,303,442,619,576,469,132,453,315,439,094,479,252,871,
905,222,475,195,624,817,256,512,320,026,779,322,894,691,457,975,085,255,806,
133,676,001,841,930,285,304,792,580,645,363,302,054,021,067,836,176,929,939,
900,949,638,431,442,155,130,911,658,661,486,724,309,835,832,201,447,697,411,
123,432,711,137,185,508,397,724,269,186,381,496,430,169,701,076,635,460,265,
581,987,239,539,102,610,371,483,268,778,956,170,453,957,319,140,217,632,933,
314,432,107,849,364,123,782,987,675,133,064,081,547,381,650,456,108,797,599,
745,463,821,339,653,000,232,071,496,844,886,631,221,689,815,692,056,507,062,
315,711,978,807,387,153,729,013,717,658,078,902,479,448,119,660,232,176,991,
689,682,827,283,493,896,939,406,343,579,999,314,025,281,264,411,899,341,539,
465,206,296,852,100,914,484,978,225,371,703,898,299,693,700,542,559,045,291,
132,145,293,725,022,120,860,177,156,831,059,507,163,700,196,031,132,937,293,
242,179,587,193,798,615,145,826,574,816,867,970,352,582,284,853,435,956,182,
261,806,928,353,980,213,391,768,306,434,432,246,520,630,423,026,382,397,055,
747,494,984,031,967,260,189,868,093,427,381,964,167,073,789,341,779,584,328,
985,485,885,695,157,065,725,514,653,883,118,016,236,403,501,871,257,680,340,
125,153,956,843,180,380,101,742,120,971,573,143,024,561,816,976,739,355,884,
470,859,383,241,895,919,498,572,743,298,071,718,612,462,058,841,552,625,433,
690,315,272,649,206,781,387,489,676,264,960,652,749,176,845,821,331,633,282,
114,580,339,932,485,175,566,387,723,010,319,052,144,246,679,329,861,188,525,
317,185,079,474,812,009,242,387,045,266,905,604,824,880,975,959,959,306,602,
071,772,777,286,899,370,430,252,007,128,448,062,349,939,334,612,115,599,482,
087,054,165,688,463,772,638,408,100,912,448,750,709,941,970,139,732,454,072,
998,000,281,134,636,181,381,910,430,013,584,067,829,073,116,989,317,450,049,
755,747,205,313,930,290,703,626,398,899,917,264,132,981,168,308,544,305,550,
833,373,114,208,178,611,424,378,323,409,568,625,545,169,779,901,943,627,579,
404,574,087,508,093,664,384,116,392,736,045,252,408,907,007,313,470,343,098,
299,231,436,215,622,678,267,905,192,257,889,252,686,820,909,498,367,106,793,
492,723,924,542,005,554,656,585,935,555,192,532,208,710,955,205,056,143,107,
738,028,878,193,363,895,282,589,343,980,888,871,134,403,688,111,125,470,613,
715,266,594,946,745,231,305,207,994,087,154,697,509,397,937,294,720,944,239,
630,734,210,745,190,837,304,154,401,002,968,962,452,454,082,223,546,385,695,
937,286,214,444,609,298,740,907,794,575,876,924,669,957,159,311,513,633,633,
860,681,316,959,447,393,145,615,414,151,123,708,601,519,624,013,285,410,308,
716,080,051,990,994,889,316,825,847,687,590,852,698,637,407,771,554,708,873,
815,710,645,793,247,038,966,551,180,931,527,442,643,890,010,934,411,904,554,
798,789,407,450,802,863,575,201,340,540,589,525,783,202,461,508,038,269,866,
464,433,379,317,134,871,866,584,010,351,273,130,523,252,607,773,210,026,832,
310,658,958,445,861,948,134,326,496,042,786,963,452,548,048,581,925,487,721,
126,681,264,763,881,169,162,011,708,648,305,772,270,748,462,975,015,126,236,
114,685,501,667,955,433,140,824,630,939,436,531,481,364,101,561,619,258,743,
115,958,945,965,824,090,021,075,311,461,069,582,152,781,725,492,977,846,147,
581,413,359,183,305,306,446,250,237,692,021,804,735,458,551,940,503,973,314,
839,704,574,906,707,676,816,900,135,450,252,490,281,327,064,474,474,695,008,
617,745,760,151,361,563,654,825,010,079,544,245,931,974,293,241,250,543,793,
104,471,709,716,543,218,291,447,371,550,178,181,868,315,733,004,046,081,963,
676,707,534,348,236,016,584,098,308,443,421,700,562,093,164,656,378,876,219,
051,694,902,161,960,049,939,393,698,297,668,270,930,005,762,987,951,482,432,
410,535,159,984,944,163,157,296,834,389,777,383,892,066,627,817,721,000,636,
885,190,048,527,487,547,177,319,325,616,002,960,876,031,488,092,535,867,694,
149,523,933,284,630,444,517,477,421,493,239,923,104,490,874,309,731,359,804,
867,238,291,121,577,906,066,092,938,388,769,119,982,714,167,714,910,437,801,
578,016,478,504,723,022,364,391,575,718,825,957,325,109,105,702,669,081,599,
929,867,632,958,370,096,421,367,332,448,646,492,912,688,764,359,132,958,007,
719,900,362,198,006,481,832,878,263,635,666,091,054,009,262,406,565,369,823,
316,028,877,858,638,539,859,050,901,155,716,729,997,281,877,749,285,933,699,
302,442,096,838,302,047,725,688,764,221,277,475,641,783,704,725,246,799,224,
457,178,547,684,941,365,440,696,945,220,777,659,949,269,833,902,583,563,066,
457,308,570,557,447,247,930,455,275,577,903,788,903,696,664,888,046,867,385,
549,098,208,849,877,289,982,590,074,300,599,167,875,361,799,079,053,962,704,
048,957,015,397,732,457,443,112,149,877,879,777,201,148,363,672,934,536,771,
619,012,833,805,889,709,875,503,420,053,218,156,900,221,579,044,923,667,151,
801,641,398,442,127,095,735,918,411,609,496,896,502,050,308,325,029,805,115,
640,155,552,387,085,968,009,290,729,346,814,466,482,569,526,692,016,008,135,
339,933,139,846,913,966,126,745,318,683,126,280,205,147,985,643,930,756,201,
633,274,913,916,649,836,743,077,036,114,990,834,409,031,098,736,299,564,277,
538,809,811,421,352,158,438,373,453,725,450,641,107,612,934,965,276,974,035,
695,275,724,832,393,438,807,095,345,111,108,251,768,654,644,260,188,207,748,
296,576,995,535,829,485,541,915,922,396,388,725,996,965,886,608,858,997,681,
740,486,564,651,306,579,096,198,782,676,116,681,189,632,182,935,074,843,512,
896,079,995,072,903,319,260,246,639,491,224,589,848,476,291,396,024,527,920,
565,595,661,242,894,169,921,775,079,455,360,914,337,511,824,172,651,253,831,
133,108,095,840,554,284,359,927,266,186,073,126,753,822,745,624,063,286,378,
619,617,389,418,938,100,871,762,897,282,576,817,806,226,487,020,689,507,881,
368,033,199,259,378,966,135,461,506,493,015,222,545,454,769,717,311,466,068,
512,826,769,017,630,716,583,532,676,027,735,412,491,550,444,980,451,325,693,
481,695,931,732,555,565,045,653,966,336,894,756,521,101,494,008,875,968,273,
394,618,475,106,484,065,016,891,688,642,521,157,956,982,874,869,133,550,121,
778,352,735,437,464,562,745,893,463,893,962,511,855,602,737,155,147,656,038,
224,975,406,176,069,783,086,144,897,487,327,970,395,381,776,915,659,432,741,
086,787,590,668,477,749,094,083,683,370,902,670,420,985,362,043,482,076,361,
199,213,325,828,261,461,869,138,671,616,604,674,374,230,050,977,191,063,538,
152,868,381,947,190,499,466,659,520,806,542,254,912,890,495,440,689,800,823,
863,544,731,224,464,528,105,441,101,380,092,303,038,293,306,712,191,728,461,
656,351,065,108,887,020,902,356,886,113,028,894,788,270,432,794,442,176,398,
455,086,650,536,859,923,817,611,175,810,077,894,720,362,197,839,778,524,656,
254,902,899,475,343,664,173,390,564,584,921,101,767,017,011,419,423,864,172,
405,629,445,568,480,317,518,516,218,590,743,282,710,315,740,383,954,982,109,
086,548,899,338,486,276,816,968,965,189,589,389,455,793,495,563,657,253,222,
638,988,897,361,939,619,089,918,165,207,346,289,056,555,180,464,033,950,691,
157,513,524,949,490,884,280,078,983,172,502,939,641,195,954,638,562,825,841,
900,503,845,876,613,349,290,045,657,978,466,359,170,215,930,696,259,511,089,
807,740,614,431,095,204,617,338,198,452,024,216,080,475,978,392,054,327,739,
866,120,151,635,549,911,645,141,506,376,699,589,484,432,084,655,735,549,197,
849,690,334,041,960,107,850,466,569,742,935,400,886,808,212,675,054,919,891,
293,252,729,711,581,240,878,361,251,502,423,221,957,250,747,431,763,627,595,
760,104,087,961,950,797,031,037,914,669,751,715,639,507,169,825,390,693,434,
126,299,370,287,048,996,859,603,632,000,082,161,958,474,756,178,667,992,289,
835,084,889,144,378,761,183,564,211,740,067,915,720,327,216,292,560,655,098,
196,559,997,199,477,562,477,685,264,786,917,819,946,728,784,972,896,823,500,
549,557,928,389,841,440,903,793,665,776,309,252,279,012,578,887,338,432,203,
331,174,099,496,857,407,335,433,424,469,245,599,649,378,738,666,829,858,366,
073,169,774,946,673,816,838,002,552,949,993,009,365,663,788,356,810,918,817,
395,033,339,483,524,876,272,567,686,745,897,739,935,636,911,640,872,495,877,
833,092,241,906,775,884,647,904,033,606,878,057,757,901,125,974,429,154,169,
895,753,442,104,557,291,337,072,436,054,637,719,184,254,405,817,288,119,183,
548,273,522,268,097,326,665,421,892,727,426,170,244,641,947,893,421,469,503,
625,251,363,631,966,311,848,956,505,421,711,271,164,054,522,277,938,391,629,
837,126,879,697,503,378,774,554,636,139,233,610,811,175,584,776,894,725,741,
655,978,633,774,771,467,221,262,632,310,438,357,387,407,817,630,999,823,287,
538,350,607,956,113,789,129,045,799,135,818,850,687,760,490,385,611,950,869,
168,221,433,061,624,661,427,798,177,167,013,982,396,978,996,133,334,884,013,
812,538,345,148,736,243,988,652,423,615,128,417,459,108,475,206,679,256,136,
619,566,824,419,902,314,134,587,843,571,061,342,000,428,341,874,113,301,211,
571,573,959,860,632,171,980,885,626,207,606,445,924,054,948,614,321,897,434,
393,651,915,665,831,394,223,717,564,950,418,604,310,040,290,241,365,827,250,
673,013,372,764,739,327,293,608,202,137,244,881,167,117,975,239,408,044,551,
802,564,960,111,854,000,385,581,609,163,088,743,399,444,832,240,265,945,139,
142,224,080,488,326,943,857,291,068,344,928,457,975,495,915,910,939,056,239,
530,261,239,072,570,201,066,676,221,423,670,753,251,766,925,200,640,472,327,
814,622,088,018,189,261,014,289,076,900,706,441,846,415,191,049,507,255,689,
792,097,714,286,083,523,757,142,685,945,170,699,396,515,086,378,753,417,604,
018,138,370,987,921,605,748,308,246,840,239,487,041,793,797,806,812,445,680,
213,785,920,418,895,654,930,345,293,899,812,975,946,131,026,999,993,132,783,
144,973,304,615,708,380,373,772,978,396,390,117,857,901,098,722,515,249,411,
090,322,637,059,421,644,490,613,067,778,298,719,841,685,789,865,078,955,972,
644,206,272,470,159,221,082,269,767,201,378,244,826,209,474,296,933,016,520,
445,394,468,698,059,595,252,901,785,438,728,344,292,317,482,946,399,114,937,
460,850,746,507,239,197,018,384,888,821,175,729,034,578,033,877,725,823,116,
982,792,027,066,324,710,181,781,971,206,459,685,882,299,637,951,134,604,934,
039,807,872,895,164,404,950,659,216,818,945,005,766,592,312,636,563,375,355,
067,706,038,904,633,729,171,362,716,620,696,189,206,556,522,592,163,598,995,
522,483,451,890,220,329,366,744,491,379,865,806,393,831,209,263,520,606,807,
762,592,135,687,523,642,503,764,471,526,475,909,855,300,990,630,905,731,006,
751,001,267,432,969,653,012,496,340,728,197,095,122,883,221,379,805,541,842,
827,111,703,171,326,109,889,213,899,872,466,625,693,552,862,365,108,458,616,
090,598,356,392,244,670,948,021,371,902,701,371,387,734,323,333,273,427,314,
127,150,470,440,736,545,886,792,108,769,051,364,568,344,011,761,759,736,196,
796,040,515,567,061,106,525,696,145,059,258,324,049,530,778,602,395,717,253,
641,380,601,710,723,617,209,223,169,387,795,795,368,660,785,058,306,379,519,
775,438,449,345,931,994,536,937,383,781,088,301,776,718,314,222,291,639,852,
762,001,555,364,098,372,499,533,741,998,331,164,061,709,925,461,894,558,540,
939,844,666,756,761,761,697,241,141,893,642,918,879,125,588,198,827,695,971,
336,179,973,087,223,408,971,093,910,016,923,988,965,857,173,727,760,305,994,
969,240,001,069,176,557,591,346,789,036,270,032,026,200,855,478,606,915,409,
903,444,687,122,267,138,669,587,681,883,295,542,674,716,589,521,712,113,581,
226,672,141,720,635,221,672,995,398,139,954,221,545,403,068,196,680,497,529,
856,460,629,190,964,287,566,983,978,909,681,547,332,256,307,963,072,302,283,
419,588,087,520,273,198,916,864,525,557,443,507,337,539,301,252,762,446,271,
926,612,923,696,361,921,728,482,972,461,805,018,682,467,776,775,622,054,039,
987,516,377,742,880,486,326,629,414,396,088,207,317,744,484,126,383,325,092,
199,924,377,822,412,710,206,130,527,112,649,691,240,567,002,256,949,335,888,
503,734,665,665,754,274,911,198,603,581,288,382,848,129,049,099,936,355,000,
947,991,528,677,256,483,329,261,369,836,311,154,343,664,740,886,943,846,814,
274,994,826,864,696,684,643,146,974,210,048,649,076,304,241,199,789,086,896,
129,618,899,903,255,647,250,241,535,240,552,070,321,886,180,478,216,429,848,
927,711,174,501,799,616,892,537,332,485,892,846,801,777,838,472,823,871,133,
171,018,421,183,093,834,616,527,757,834,723,959,717,530,095,897,088,163,549,
267,289,297,121,160,188,489,748,603,881,541,795,152,779,052,421,559,509,093,
327,474,464,114,778,035,183,198,310,783,896,558,131,219,202,167,941,110,530,
520,385,891,269,688,719,531,942,860,225,122,735,932,589,006,467,820,937,587,
636,679,328,567,045,633,915,553,899,803,139,545,206,256,859,824,197,361,948,
037,980,321,381,287,882,848,949,966,439,844,757,161,306,895,402,785,425,465,
706,589,953,110,805,643,268,455,880,215,982,358,976,433,795,216,218,088,403,
008,208,936,596,141,471,578,520,748,867,560,902,241,561,734,838,977,135,863,
205,088,056,744,787,693,862,661,347,900,968,450,673,808,717,150,612,866,164,
189,875,272,870,839,732,014,133,819,790,755,699,321,908,044,626,167,940,169,
595,960,469,742,716,662,727,624,031,120,291,123,941,094,484,105,315,968,314,
821,859,104,079,085,955,144,460,504,409,672,047,441,336,632,971,729,875,393,
505,454,337,624,647,039,307,927,335,290,499,164,562,112,164,706,496,984,104,
072,105,388,613,418,525,784,890,221,405,733,325,193,634,975,949,238,642,138,
022,690,414,689,552,529,683,809,880,338,085,876,747,433,363,199,335,773,609,
478,174,345,917,782,078,714,254,118,570,636,155,130,605,573,966,364,874,608,
643,821,573,685,028,677,398,053,933,505,453,334,572,549,046,218,449,929,560,
572,451,584,175,042,239,440,218,426,900,933,856,296,895,755,758,298,814,287,
613,238,254,463,945,164,210,445,578,941,067,865,612,422,209,463,566,282,350,
968,187,587,385,132,431,380,633,738,259,407,085,723,617,520,102,308,669,030,
888,550,763,322,719,861,794,127,231,501,377,018,497,741,140,596,886,951,813,
370,073,609,648,602,385,377,224,566,748,555,054,167,992,640,206,515,129,459,
781,749,937,087,414,662,696,414,330,867,670,784,850,552,621,306,637,650,561,
085,329,206,533,525,221,195,104,901,277,920,133,774,043,488,801,186,367,437,
516,805,055,442,397,679,821,636,828,140,028,365,639,708,030,723,238,729,384,
632,306,168,630,857,068,749,390,282,904,176,536,437,509,065,517,197,328,392,
726,603,367,630,458,899,964,982,849,832,263,313,776,139,670,633,026,572,458,
724,340,743,413,509,516,209,142,782,495,251,536,502,860,459,364,621,167,434,
237,324,797,925,150,560,688,507,228,200,228,673,591,530,223,238,040,560,973,
614,671,169,094,115,447,069,462,899,841,514,552,015,909,092,826,991,894,293,
573,970,405,965,677,082,246,108,047,201,580,270,907,147,340,412,504,255,868,
347,498,641,967,565,025,315,388,233,081,000,324,228,487,769,326,620,563,833,
116,805,256,781,166,793,596,174,898,990,658,544,211,391,918,691,232,425,428,
881,240,434,616,641,252,303,201,361,194,991,209,632,105,778,491,300,662,467,
114,190,990,544,294,787,327,950,229,684,293,167,633,259,481,397,175,749,365,
936,728,585,815,745,060,891,124,898,829,204,184,507,567,781,606,152,615,466,
208,996,631,407,052,845,835,511,305,971,608,221,046,065,477,337,198,914,731,
877,193,447,251,181,660,511,335,770,520,628,226,849,749,906,213,469,463,650,
580,775,948,955,010,938,156,139,542,919,604,108,538,635,475,736,072,612,956,
571,032,192,266,487,700,687,640,237,670,383,277,772,473,900,757,129,274,959,
302,085,071,243,615,522,592,888,798,010,514,236,459,857,454,951,507,007,324,
953,965,182,007,382,375,228,243,162,577,558,095,201,783,188,369,160,949,856,
047,790,459,682,344,020,944,022,816,800,401,516,553,417,284,978,739,843,357,
088,866,345,016,964,750,149,347,154,696,047,138,056,848,902,454,316,086,544,
634,828,067,248,386,378,031,471,459,040,572,783,726,253,300,100,284,139,230,
612,478,219,470,186,245,084,099,630,196,599,416,162,319,819,913,566,656,524,
337,498,988,077,926,383,059,689,657,945,300,632,448,349,717,806,548,288,435,
382,731,109,168,889,257,042,059,019,761,960,188,510,085,309,104,409,821,893,
681,509,447,318,093,244,108,608,399,616,975,105,663,691,478,244,396,153,383,
543,291,484,308,946,929,179,886,637,669,754,170,265,253,112,300,527,991,019,
044,169,449,770,717,885,248,982,161,605,608,340,092,357,569,168,049,846,554,
769,500,579,906,345,336,149,399,809,943,628,779,633,666,104,165,152,344,764,
519,621,670,222,060,108,423,428,558,973,218,299,661,334,217,201,185,013,873,
538,910,214,639,032,171,280,564,468,653,919,174,796,753,932,866,963,374,965,
003,015,021,632,164,988,496,622,702,105,871,594,057,183,638,868,497,185,842,
477,106,156,463,528,593,802,526,116,777,811,625,452,727,465,440,774,973,643,
735,387,422,084,907,798,330,463,878,854,510,012,034,501,446,054,972,384,116,
582,895,326,436,968,428,707,120,359,371,845,290,172,040,521,672,131,158,267,
699,238,710,294,750,395,862,787,334,369,252,734,130,136,472,421,449,474,415,
114,516,388,664,291,885,287,503,851,898,245,473,949,377,337,791,191,794,417,
012,748,346,828,437,055,620,840,501,118,438,042,663,371,083,927,033,673,404,
360,207,605,067,318,780,437,248,852,424,723,561,246,085,784,367,792,965,435,
096,495,212,969,837,152,589,398,089,352,544,402,110,050,126,757,437,820,426,
787,333,214,856,456,052,520,013,143,531,421,987,685,915,729,378,774,266,341,
843,195,341,740,718,992,402,953,956,743,377,205,733,626,818,986,558,748,351,
168,979,536,194,306,731,702,957,601,009,935,007,316,906,468,254,995,848,767,
119,607,188,011,830,874,180,600,899,528,521,523,587,669,505,423,217,812,122,
047,219,442,552,123,424,426,011,269,609,715,208,210,888,672,319,745,210,998,
793,723,692,240,849,331,889,228,439,147,326,422,026,436,656,138,560,466,538,
791,189,235,244,902,973,568,290,416,318,125,075,354,154,345,547,180,200,596,
020,309,948,918,077,560,009,100,509,433,658,412,536,921,178,437,513,617,394,
156,026,835,883,483,057,286,804,457,427,505,733,669,836,444,670,377,019,288,
713,590,373,923,580,063,513,651,916,068,888,650,380,736,930,063,266,040,518,
597,421,472,266,079,874,810,131,922,379,274,621,293,452,326,641,478,011,789,
837,175,411,391,336,544,730,670,761,727,255,438,420,308,305,548,638,256,787,
521,435,155,278,628,472,495,521,535,923,845,344,926,042,324,617,989,830,898,
740,401,674,525,986,338,494,704,839,458,327,950,980,893,014,878,639,370,464,
739,047,509,338,548,068,309,002,574,244,988,712,923,520,350,189,325,790,284,
905,436,979,878,795,764,270,671,265,552,194,758,067,900,659,564,712,709,255,
189,071,190,145,356,718,716,248,092,513,489,483,883,211,149,900,520,629,677,
683,897,197,840,421,315,966,162,094,030,931,293,982,101,778,653,573,422,720,
391,150,254,751,877,784,211,383,474,908,722,389,171,435,743,397,848,617,375,
093,502,432,553,268,490,476,031,856,897,304,090,722,915,099,472,329,885,449,
338,854,930,974,181,718,001,808,951,625,743,530,397,235,684,635,176,625,831,
783,808,294,070,015,533,428,535,598,821,109,152,288,507,469,298,748,051,988,
959,645,104,451,597,731,132,668,350,016,303,021,933,724,464,806,009,479,771,
015,113,849,366,593,658,449,489,532,836,502,189,058,880,567,620,238,640,454,
735,614,928,732,671,928,828,053,888,190,138,881,732,737,952,027,435,382,663,
597,802,135,986,473,724,821,415,152,453,205,358,188,716,161,014,446,643,553,
148,905,200,526,208,167,647,806,017,400,661,589,610,368,621,971,843,678,620,
664,687,225,061,355,144,968,393,926,350,839,174,152,284,556,093,657,766,579,
456,083,638,030,085,034,962,291,399,545,504,933,875,076,706,641,932,050,337,
116,401,856,351,642,608,173,878,962,492,342,898,653,700,942,975,023,562,076,
055,383,949,044,120,722,254,875,344,402,253,549,820,764,174,512,326,404,542,
413,552,510,315,577,291,779,631,836,278,162,225,561,918,640,793,690,590,025,
965,182,274,715,450,858,067,085,756,600,495,483,959,636,576,252,692,227,168,
196,284,277,305,090,117,003,702,863,669,696,966,547,423,083,397,711,388,214,
333,004,446,685,933,724,399,688,252,092,797,795,006,906,175,183,811,910,478,
457,748,455,821,481,460,700,043,557,312,805,969,561,514,141,512,940,026,448,
116,798,010,887,809,119,135,463,528,167,353,200,174,297,757,762,214,855,801,
926,332,777,374,157,092,844,107,753,529,415,264,776,350,891,097,664,606,200,
471,634,250,832,460,552,783,030,548,981,270,018,389,659,470,330,260,005,895,
678,172,226,299,895,729,522,123,298,161,251,283,467,149,152,256,384,865,967,
373,526,251,753,574,603,996,835,933,086,387,473,724,431,777,056,585,630,643,
237,650,043,027,110,497,072,322,138,973,484,124,718,535,882,186,950,177,549,
377,503,217,930,516,870,165,221,232,092,740,533,861,603,901,121,248,705,347,
229,371,856,032,771,471,722,362,119,385,605,321,707,156,972,222,858,777,468,
491,282,266,291,552,506,290,971,517,998,080,903,049,228,798,149,637,771,057,
745,416,153,036,892,551,162,703,419,495,176,402,476,507,809,952,502,280,610,
554,353,999,636,103,946,383,048,131,536,155,553,591,898,460,330,818,698,844,
055,040,281,247,784,035,239,566,901,416,833,773,594,163,650,589,198,559,720,
549,496,767,191,186,404,866,630,457,036,243,809,908,529,888,273,316,933,177,
447,090,142,800,358,013,714,683,506,690,065,512,176,796,317,455,164,811,651,
522,630,454,972,819,688,738,147,469,900,908,094,540,230,270,644,505,030,322,
379,088,626,158,008,962,522,606,319,942,204,282,284,552,426,681,294,633,406,
539,092,095,918,629,309,499,627,110,027,303,346,299,072,305,059,865,006,612,
207,853,660,985,713,435,112,502,495,010,945,181,164,226,189,211,819,932,664,
592,919,213,751,219,018,636,255,327,470,296,434,092,833,766,963,420,453,933,
519,310,455,610,576,768,539,337,328,971,913,772,890,405,569,106,024,221,114,
925,154,770,734,567,898,417,460,280,350,833,333,496,618,187,045,939,148,894,
305,776,084,558,734,818,894,192,018,788,517,140,711,160,394,181,492,656,262,
980,973,384,016,643,625,613,061,634,925,777,091,859,816,464,529,877,146,523,
608,429,352,793,806,272,831,457,881,094,427,679,214,472,791,930,612,031,741,
178,898,825,701,818,167,474,769,236,600,343,856,274,852,677,568,144,869,002,
142,349,078,699,986,437,399,939,584,148,480,338,690,240,442,697,663,088,660,
519,908,488,055,585,534,764,900,735,784,763,886,422,482,922,573,413,970,339,
222,814,112,023,064,680,699,010,510,720,771,749,711,954,423,215,576,637,914,
076,157,763,002,180,436,163,329,011,058,354,849,214,640,806,137,822,948,060,
532,683,994,867,347,543,523,345,916,446,245,992,042,756,742,726,780,992,491,
637,161,437,969,463,701,856,265,196,166,599,638,548,601,797,719,625,189,417,
679,235,842,154,760,808,890,655,640,578,597,378,043,847,705,960,920,733,550,
503,230,741,025,452,595,254,344,479,242,729,272,399,123,781,636,662,140,801,
916,836,373,931,384,525,548,651,598,676,013,170,025,463,800,709,166,017,894,
807,983,639,255,023,783,926,055,983,936,392,145,816,530,892,285,557,241,243,
622,547,379,303,033,410,335,099,710,892,028,937,512,687,811,367,364,434,785,
617,206,282,709,811,248,813,421,286,672,517,248,546,512,660,317,342,328,658,
834,731,693,230,336,254,887,093,480,483,920,425,765,768,705,413,925,513,564,
820,612,508,617,190,100,391,124,523,344,369,655,333,768,233,325,349,480,199,
543,892,701,619,910,537,085,465,705,372,994,270,210,611,959,742,865,415,240,
054,498,889,698,264,915,804,029,291,701,004,405,222,912,396,440,245,339,530,
410,913,235,605,851,519,475,295,554,647,136,404,840,195,910,737,997,180,894,
633,745,939,935,875,958,562,661,691,469,223,177,665,617,297,371,976,089,738,
570,310,878,258,141,599,832,677,545,016,475,928,444,266,047,375,744,938,357,
194,834,347,469,428,035,849,645,548,630,349,320,598,818,756,607,520,566,146,
596,017,357,772,543,635,362,408,853,390,696,606,627,704,116,649,223,763,392,
545,197,246,014,886,214,152,304,370,525,476,251,819,868,774,330,527,343,138,
680,125,767,183,567,784,102,685,076,614,214,335,302,108,502,554,192,345,529,
982,023,156,690,132,665,197,331,163,122,725,047,081,512,611,084,358,012,953,
411,171,093,342,841,866,281,780,865,688,371,526,625,580,808,838,040,763,834,
744,806,707,536,202,190,970,410,516,071,011,325,549,730,916,871,942,287,676,
801,924,802,692,989,882,920,107,745,105,036,808,937,331,914,241,193,144,266,
392,413,546,630,418,327,571,114,181,881,179,292,103,842,821,909,885,769,985,
990,253,362,631,477,347,463,214,435,858,052,550,704,920,698,438,965,787,581,
948,395,389,258,528,634,304,077,566,460,933,923,933,949,547,501,816,462,963,
432,295,685,112,007,468,944,143,290,717,194,246,339,025,150,453,802,445,918,
618,187,200,139,959,075,648,844,600,298,299,183,250,312,359,059,174,458,379,
805,559,331,392,625,796,545,481,733,884,194,685,406,626,161,358,756,651,909,
491,402,216,957,762,829,649,453,712,927,433,519,883,837,423,677,703,370,837,
139,138,036,683,039,970,575,917,086,581,447,923,704,634,623,439,035,422,887,
837,930,403,480,169,955,000,199,309,006,372,360,599,849,446,361,098,023,869,
007,534,442,372,848,483,610,882,797,792,498,652,854,634,463,127,754,900,384,
232,530,354,509,489,548,490,413,559,544,978,447,453,390,458,100,650,713,307,
848,864,406,560,169,326,434,420,114,450,058,773,112,919,273,342,747,113,964,
123,900,278,086,467,015,042,537,702,086,474,466,666,714,533,565,603,020,493,
916,103,002,090,045,545,533,648,340,429,433,172,098,641,043,101,812,896,739,
020,438,186,307,330,670,791,934,238,080,943,410,437,493,820,548,539,366,431,
708,853,196,457,792,988,217,121,473,736,289,686,588,816,220,619,662,333,188,
405,449,369,359,578,235,423,817,414,072,133,104,059,302,972,172,407,257,525,
428,438,829,073,094,665,148,522,676,022,411,580,845,374,373,826,423,670,954,
484,880,176,135,590,365,926,435,278,184,232,816,985,093,663,093,915,729,714,
991,497,315,278,943,980,660,446,454,242,105,235,103,846,802,228,143,193,993,
063,729,658,615,076,145,110,979,486,966,076,118,489,847,938,918,228,304,197,
596,955,772,094,305,871,329,595,894,994,845,549,960,060,798,636,694,841,417,
916,177,028,947,633,228,263,004,420,884,414,170,784,241,444,375,181,056,484,
168,124,479,722,400,862,967,830,848,624,673,674,242,744,816,577,540,210,270,
809,149,766,406,626,845,877,175,261,048,754,974,307,709,153,509,083,408,223,
887,870,238,089,583,704,100,156,766,635,770,615,761,844,934,616,233,897,235,
858,821,928,421,029,033,256,386,334,289,961,391,440,272,287,367,893,274,661,
899,324,891,495,769,782,900,051,058,704,047,897,849,034,631,930,787,137,521,
593,682,681,346,058,630,121,651,371,446,507,493,104,125,401,834,630,863,734,
849,233,988,416,198,399,532,609,646,968,036,467,322,189,423,284,814,767,069,
925,706,898,751,654,273,310,589,088,900,419,584,504,867,578,869,940,517,470,
832,466,434,612,629,966,524,047,567,716,869,033,565,988,614,978,292,438,873,
026,939,421,484,716,756,607,254,361,244,126,459,363,690,395,702,645,434,544,
726,484,860,066,004,290,794,178,164,433,340,266,409,495,735,363,941,091,731,
569,366,590,815,714,566,530,029,752,288,054,064,205,840,984,878,723,377,517,
549,115,861,188,555,470,369,465,128,423,308,365,015,605,623,231,739,971,715,
260,268,106,485,266,671,167,130,956,422,705,664,353,125,574,484,249,569,794,
765,052,240,851,515,249,501,093,928,075,613,896,466,851,573,271,485,908,921,
450,937,112,477,276,695,733,411,401,199,721,182,774,181,870,234,942,405,404,
512,413,415,658,221,109,247,141,013,320,020,617,947,061,883,887,579,329,345,
836,449,776,345,974,249,102,143,933,433,584,480,849,170,883,170,042,386,055,
766,832,370,178,069,535,145,455,682,476,641,799,968,917,816,104,958,615,664,
344,162,608,214,701,978,749,258,460,400,674,035,928,564,240,828,533,506,939,
127,356,206,148,773,254,135,213,605,282,342,894,030,139,865,834,311,580,330,
811,945,371,648,555,680,164,127,677,856,678,552,507,122,863,771,012,603,697,
327,378,342,757,712,152,997,381,438,596,600,592,028,426,600,393,713,030,558,
137,280,764,300,974,756,734,397,487,781,872,044,044,354,376,300,157,304,281,
045,344,362,840,263,477,703,528,157,713,686,598,594,604,834,397,658,381,342,
061,209,714,588,669,675,994,504,019,423,495,158,531,970,677,919,880,467,427,
823,175,364,493,507,086,399,816,798,929,403,822,993,618,980,876,151,388,241,
411,012,219,364,755,247,764,126,493,148,264,602,371,713,701,644,910,821,914,
131,061,802,467,392,158,605,170,038,167,383,508,484,077,884,555,548,303,206,
978,854,520,748,995,609,290,939,915,890,157,936,984,807,543,877,773,146,290,
336,098,202,523,992,965,837,102,287,898,561,961,544,029,632,829,013,716,547,
050,392,446,648,485,395,124,786,434,413,842,659,243,988,818,966,058,229,996,
932,913,845,237,272,485,824,986,066,600,025,656,140,709,949,682,287,104,590,
423,259,717,932,576,172,254,358,890,404,346,375,770,741,673,121,389,767,812,
072,566,348,551,146,226,750,453,242,274,923,664,279,056,803,070,107,042,111,
873,468,009,065,706,293,695,333,062,362,398,463,029,886,186,957,153,577,050,
664,126,295,497,658,867,373,181,350,231,075,337,579,632,228,709,908,958,086,
059,171,670,845,434,257,594,123,798,174,451,446,965,908,286,097,932,890,595,
722,299,197,554,454,188,130,144,060,612,800,702,968,159,640,370,949,005,095,
668,445,626,214,873,069,274,266,604,873,686,971,422,387,587,885,404,286,107,
900,868,548,098,623,481,298,086,869,776,277,301,609,627,884,184,541,763,634,
233,258,243,409,678,582,351,580,692,426,585,852,998,398,277,804,582,257,387,
376,027,185,982,378,402,204,743,535,007,466,307,170,299,045,708,900,044,679,
849,571,242,179,139,432,009,100,943,149,086,325,216,112,516,454,772,346,994,
540,362,405,428,923,919,063,026,456,491,058,615,498,674,580,828,446,048,111,
485,178,198,006,402,794,720,859,698,576,474,563,491,050,635,958,483,982,851,
399,956,880,961,181,926,650,337,783,605,610,144,525,340,981,671,083,243,802,
595,368,958,469,338,480,327,985,524,783,317,436,334,017,368,407,414,008,836,
750,886,121,793,773,228,252,408,776,416,241,023,845,707,934,043,209,235,760,
189,600,190,954,886,087,565,619,141,139,186,481,441,669,204,673,547,613,508,
473,473,859,932,294,960,894,216,743,772,500,477,563,260,175,799,675,624,879,
999,820,976,653,980,335,535,210,879,326,061,988,456,440,757,706,094,355,979,
626,040,522,341,092,014,250,724,415,667,805,010,379,348,886,074,638,195,788,
036,690,311,866,615,187,379,623,643,040,707,296,776,445,043,451,475,261,962,
794,645,685,343,951,710,030,659,258,437,337,550,715,406,086,789,007,403,514,
709,352,326,001,771,759,144,382,435,828,548,635,064,948,415,485,367,119,862,
218,468,804,223,947,147,402,208,831,555,238,936,304,894,741,036,878,269,723,
363,825,175,141,418,811,837,105,563,189,063,283,805,765,163,990,398,167,224,
621,428,195,987,181,261,644,067,750,576,094,613,510,189,441,894,589,923,902,
524,210,712,958,072,834,535,200,901,798,296,543,482,708,233,886,809,948,982,
663,409,949,380,332,177,551,258,837,283,587,674,950,715,182,756,947,265,533,
869,145,615,868,870,399,373,429,495,977,010,773,903,544,120,078,451,776,728,
600,456,310,113,857,730,955,882,800,087,085,369,376,719,723,325,016,881,570,
657,679,942,898,282,665,356,906,274,935,607,780,528,579,082,566,858,231,587,
423,138,589,660,666,841,526,880,798,236,373,482,788,015,617,426,366,706,980,
719,306,044,401,349,448,132,905,093,133,977,653,116,300,319,865,186,442,385,
115,961,302,782,951,007,957,434,562,222,918,779,048,254,705,237,828,828,056,
301,431,090,153,884,442,123,467,780,885,925,553,876,700,842,883,209,548,943,
505,637,092,124,067,565,242,732,709,222,291,606,179,097,831,178,523,724,718,
323,464,331,956,316,300,231,331,905,986,182,631,287,789,973,310,143,813,923,
014,810,571,615,314,661,174,176,678,764,609,648,082,682,800,788,143,144,295,
209,975,007,351,131,721,543,425,427,637,916,514,174,139,194,971,091,291,265,
037,104,543,141,559,663,113,698,689,506,488,811,208,671,955,393,914,133,395,
534,642,298,143,588,264,260,189,733,266,744,008,792,558,774,361,198,584,488,
284,742,400,121,628,818,951,680,243,863,822,747,578,267,562,263,513,495,034,
181,896,709,868,609,551,448,309,746,078,003,339,008,386,249,343,222,375,495,
260,836,935,901,907,562,840,747,230,264,117,100,639,638,780,342,433,105,737,
894,516,941,468,529,045,409,474,451,275,175,775,118,051,237,580,207,253,152,
164,930,138,987,226,618,751,525,690,874,435,655,461,217,840,430,048,652,075,
170,144,017,675,129,835,498,102,257,439,747,296,813,170,274,931,174,062,525,
858,259,836,211,149,594,007,561,749,114,784,899,678,534,577,273,920,139,498,
683,697,268,194,713,246,864,504,703,403,265,330,971,879,275,147,043,471,630,
679,431,330,497,172,293,429,458,479,279,464,205,959,556,012,660,787,916,962,
972,596,346,646,445,403,319,606,053,972,170,610,982,949,007,632,835,533,495,
292,537,902,073,918,351,472,136,638,064,996,240,804,933,475,229,056,288,728,
085,574,628,973,865,673,810,624,795,383,610,477,920,431,017,642,815,009,986,
086,066,610,797,989,132,916,470,695,760,925,578,297,522,018,687,100,617,061,
851,764,642,645,487,411,721,263,193,705,881,849,625,230,012,993,016,416,956,
391,931,146,626,665,840,774,850,467,494,662,832,573,235,926,391,611,891,356,
124,418,902,888,031,884,552,924,484,868,427,061,597,114,675,584,927,952,450,
186,243,311,371,161,926,332,764,936,096,472,430,315,397,547,354,536,524,240,
337,552,105,296,901,936,505,361,995,703,542,672,769,722,293,531,309,924,560,
560,668,243,570,725,986,623,702,090,286,748,006,614,083,349,407,935,530,564,
785,401,304,692,029,175,448,830,947,346,700,498,918,543,623,217,553,004,018,
483,314,919,654,971,499,497,338,864,941,939,779,443,913,738,311,998,853,683,
193,507,261,952,732,571,031,660,323,381,030,063,055,354,746,015,778,003,443,
102,238,302,944,273,306,426,310,364,659,447,867,378,187,036,243,561,575,946,
050,913,322,022,794,129,067,679,341,310,174,295,433,938,903,294,206,504,374,
477,512,173,483,003,810,955,021,624,463,615,340,866,967,582,993,137,143,148,
743,777,562,518,236,350,608,369,853,691,807,061,903,482,143,822,189,720,489,
353,141,825,034,662,471,380,670,870,056,561,233,250,888,512,645,231,707,783,
484,995,447,880,769,040,545,788,805,775,504,755,638,017,148,790,724,811,421,
527,612,758,411,203,808,741,948,179,649,092,495,474,640,867,757,156,820,501,
447,609,111,650,859,568,389,066,564,116,127,063,638,989,846,972,602,290,901,
345,457,161,357,197,692,014,234,389,738,354,021,784,202,637,243,219,977,308,
132,805,196,915,874,366,587,478,760,474,360,592,467,721,112,760,167,555,562,
744,663,845,037,371,046,865,943,388,284,890,022,015,169,406,834,140,779,626,
280,389,691,344,568,766,379,728,007,516,440,828,632,393,089,985,166,063,855,
716,886,150,486,247,177,931,750,648,590,535,983,124,428,915,581,739,919,216,
299,248,057,529,029,444,913,714,763,899,634,537,023,044,051,490,645,037,519,
967,156,183,471,322,022,400,591,294,521,682,749,834,726,563,305,478,302,469,
475,602,736,750,242,219,597,956,102,065,365,581,816,675,315,967,596,899,599,
403,332,912,601,285,509,306,912,631,468,532,251,235,903,388,620,765,082,470,
428,531,716,707,380,229,971,515,720,789,630,367,193,408,045,023,037,952,660,
892,606,978,696,977,168,157,908,247,107,635,235,221,408,902,675,622,515,097,
697,082,402,585,322,240,829,245,836,650,531,992,483,206,508,833,243,248,859,
180,532,674,487,665,564,465,729,467,742,397,200,066,818,257,532,861,210,595,
167,966,548,194,405,358,351,339,446,241,168,906,298,508,945,147,150,703,768,
494,319,208,020,533,205,691,639,407,931,536,026,189,671,366,737,137,162,532,
406,507,657,981,835,339,076,664,866,239,815,752,792,775,240,132,061,765,925,
700,055,173,511,093,529,072,621,166,397,932,301,598,814,916,412,270,210,453,
675,414,562,673,638,549,712,146,974,568,411,234,361,370,916,353,003,265,866,
718,842,582,643,444,406,673,677,328,058,265,301,350,688,217,243,456,069,669,
186,097,211,567,067,137,213,956,261,637,158,445,956,529,652,975,899,013,145,
829,552,804,649,904,746,220,935,459,985,959,585,691,919,058,926,874,951,206,
280,490,974,123,011,592,084,957,002,923,835,910,453,041,006,006,529,377,152,
732,126,353,793,294,885,980,331,434,615,753,157,840,719,776,511,661,260,745,
051,202,218,030,423,640,653,541,474,960,624,168,214,468,422,607,047,394,857,
041,406,985,808,321,657,399,246,565,159,918,345,914,765,421,615,340,764,114,
935,540,617,586,327,386,231,391,124,695,034,629,690,239,502,385,733,040,775,
160,501,948,367,270,882,055,614,566,847,550,206,039,616,770,256,802,382,681,
446,054,372,650,633,077,352,397,850,771,843,428,767,539,607,747,944,046,400,
149,743,156,100,203,619,188,454,869,825,504,514,874,790,016,132,172,623,164,
178,486,982,536,060,602,162,945,199,405,962,293,336,580,887,386,315,506,587,
128,904,594,030,247,993,306,018,297,660,000,827,664,640,502,298,765,923,705,
141,718,214,408,361,399,064,561,183,885,803,878,789,626,280,371,379,601,610,
633,985,998,018,746,305,705,940,626,694,412,073,171,009,704,813,320,217,769,
159,024,820,460,910,003,706,563,564,995,406,853,519,502,299,838,170,369,762,
180,173,516,498,992,929,255,327,632,636,421,862,738,373,241,181,424,150,954,
208,809,556,052,305,861,742,142,149,912,467,965,259,064,899,338,196,893,659,
389,142,552,539,364,804,028,457,350,934,726,481,561,101,116,080,750,276,386,
115,670,644,267,567,051,960,227,997,540,743,313,821,621,340,031,302,633,511,
224,525,715,949,875,968,308,837,698,684,741,215,686,689,519,437,247,155,840,
105,689,421,762,256,914,137,151,485,905,698,685,588,722,317,563,641,778,753,
233,628,385,605,451,833,733,621,141,390,765,932,549,445,863,829,595,013,683,
114,125,780,974,014,764,812,544,233,274,949,952,167,679,009,644,144,199,151,
798,784,000,823,916,733,632,755,910,593,214,435,268,297,107,702,918,545,058,
192,890,326,382,330,678,199,478,836,978,991,823,359,018,455,814,427,225,160,
646,815,055,085,780,512,048,422,457,510,707,442,704,458,802,214,704,759,291,
723,553,737,618,380,720,511,008,251,673,256,774,789,539,696,698,450,283,752,
079,169,156,151,019,513,568,303,507,657,173,091,406,801,512,407,476,292,563,
346,780,803,846,994,267,417,690,864,090,546,481,375,939,913,363,272,089,266,
519,361,395,431,971,869,723,147,905,125,747,433,829,985,793,052,838,089,143,
181,569,787,968,131,980,554,742,247,131,598,661,515,982,147,292,795,874,317,
356,306,477,099,501,978,865,718,872,774,982,468,013,039,291,612,379,403,416,
009,953,956,563,725,424,318,816,032,957,638,728,118,012,029,876,267,246,644,
259,117,624,489,362,905,239,933,203,571,660,399,524,372,571,545,801,769,327,
918,859,043,180,713,752,197,153,685,687,049,390,858,914,423,478,017,752,790,
258,572,136,605,295,393,588,244,422,924,088,660,871,517,107,795,062,391,264,
472,389,402,972,698,689,358,059,013,080,038,381,230,041,990,433,036,841,534,
757,801,368,489,159,942,778,204,513,117,847,276,579,612,851,896,912,498,812,
845,184,873,600,170,100,160,175,403,868,466,319,105,967,204,325,166,122,548,
474,908,084,490,692,690,922,105,272,631,125,215,855,759,695,482,658,332,683,
637,084,857,913,238,716,086,797,952,076,589,191,306,050,037,271,950,153,993,
545,581,209,195,131,242,241,524,093,418,530,523,406,071,245,280,727,050,590,
710,697,253,136,449,958,566,975,345,484,031,119,551,265,697,484,287,968,158,
074,713,759,452,111,583,628,340,194,188,703,748,706,689,461,686,001,344,626,
966,530,887,368,655,577,358,832,632,613,994,828,239,063,652,287,505,298,268,
188,869,992,900,603,140,426,522,791,400,309,312,579,043,547,463,698,405,007,
287,093,273,463,439,777,404,536,554,593,362,166,961,278,918,520,018,504,408,
596,690,443,721,162,357,815,232,800,475,812,081,292,354,016,633,370,511,882,
371,973,492,229,814,143,224,291,148,370,017,571,324,805,432,006,783,724,143,
396,691,697,224,871,973,081,253,888,406,660,149,436,310,551,559,219,164,060,
457,909,860,893,200,356,795,953,703,254,960,440,193,489,028,586,238,471,317,
027,151,990,804,908,351,124,477,405,691,539,666,208,978,261,538,052,331,708,
906,231,046,001,099,452,398,468,266,353,955,979,739,075,153,344,864,583,961,
558,087,263,263,072,116,665,618,521,065,258,814,517,750,517,952,963,507,435,
664,312,655,158,471,657,281,426,539,495,453,450,519,635,057,943,803,286,288,
084,067,045,256,664,205,834,212,176,850,247,665,638,068,367,248,525,347,977,
510,538,528,072,585,297,908,700,539,023,425,147,586,315,528,204,527,755,239,
634,760,194,543,861,975,136,764,646,230,949,152,049,820,951,594,029,920,179,
937,978,231,523,947,017,289,113,421,148,011,559,219,366,103,303,074,364,189,
409,866,271,955,155,061,363,142,053,630,965,771,376,652,615,945,961,087,362,
618,138,695,215,978,729,006,684,296,583,392,051,121,828,096,965,269,138,458,
807,718,924,522,176,676,641,325,852,802,588,009,919,328,196,610,909,846,826,
209,047,340,857,503,873,297,435,080,447,332,583,259,152,546,164,524,710,943,
309,803,251,775,475,776,852,199,916,100,004,700,653,856,537,649,135,880,956,
665,215,220,654,087,505,465,468,710,321,852,764,966,936,176,159,056,404,709,
414,007,677,604,621,227,480,302,603,381,178,216,140,199,524,385,415,273,024,
727,505,329,133,122,387,767,774,074,305,857,050,533,737,664,570,209,672,927,
308,230,780,116,081,837,724,618,002,928,113,069,551,810,570,360,413,167,737,
549,734,707,222,536,931,500,322,670,510,299,770,217,518,286,824,126,383,190,
936,367,789,363,863,045,815,969,417,858,921,269,131,299,003,530,828,189,836,
044,693,593,929,294,707,014,285,784,946,463,444,660,129,086,255,560,882,172,
311,486,374,500,052,601,484,711,748,326,418,672,011,540,359,947,986,219,733,
250,049,543,653,289,523,326,287,084,530,292,511,459,615,288,207,202,861,755,
250,409,385,210,582,108,222,234,468,715,246,663,393,576,236,272,498,109,687,
286,985,522,519,333,200,286,895,762,894,555,080,305,776,826,471,880,610,302,
693,883,385,439,346,863,188,441,077,296,261,974,282,834,584,905,335,429,514,
053,740,449,785,243,458,890,570,872,057,418,029,010,263,127,868,138,795,598,
356,317,860,257,659,418,263,533,595,224,142,933,129,313,215,090,575,453,717,
787,357,576,347,532,635,525,095,235,600,994,353,943,351,271,513,876,796,908,
893,094,885,838,676,733,706,825,012,739,064,943,679,982,725,037,423,603,392,
908,567,453,672,603,982,538,892,106,640,733,607,719,209,248,132,833,192,193,
569,207,036,997,600,216,977,261,756,942,519,223,194,700,094,501,786,254,353,
132,725,240,644,119,791,961,891,564,294,395,820,882,131,437,933,867,611,359,
211,802,652,315,201,348,753,212,280,037,439,610,425,544,588,425,470,898,713,
802,297,520,082,333,449,147,997,003,223,624,370,464,242,009,125,921,331,687,
254,552,578,481,065,431,645,259,677,398,922,067,231,390,806,079,287,288,483,
285,753,131,060,615,263,921,758,053,512,293,106,750,929,015,990,698,930,888,
988,817,553,220,095,686,863,815,321,362,632,012,796,080,783,049,345,195,021,
135,316,624,016,302,007,495,927,983,944,794,784,432,651,628,719,995,779,989,
570,965,725,788,848,686,427,083,150,216,679,904,385,632,079,387,144,559,734,
496,028,725,298,946,264,612,605,390,013,027,388,840,497,575,617,172,895,584,
938,071,504,413,726,210,214,068,710,841,825,857,228,768,077,292,562,904,095,
425,158,682,472,637,411,272,950,012,707,720,997,825,975,471,250,558,954,490,
712,609,749,604,097,244,312,843,654,678,325,115,759,138,620,348,856,434,115,
788,052,907,415,271,132,473,039,214,366,075,774,843,323,129,609,477,470,108,
340,324,929,492,198,867,227,995,542,736,183,041,536,373,815,875,424,509,772,
892,154,946,233,178,028,044,124,488,371,882,571,152,476,533,851,116,892,287,
939,806,192,760,819,276,884,140,600,192,211,161,546,946,748,400,341,811,346,
445,076,026,647,314,373,505,755,665,675,624,368,957,684,546,622,594,743,206,
935,444,131,077,546,972,179,345,097,348,684,881,426,758,044,931,316,552,865,
074,757,286,752,986,451,866,838,688,965,759,636,868,564,121,311,492,801,948,
955,106,941,951,610,070,172,879,381,156,997,131,181,571,326,750,244,507,507,
691,355,137,087,570,417,981,884,206,569,283,712,336,098,066,618,927,235,048,
590,198,910,361,140,265,846,398,286,799,168,454,109,848,104,361,915,154,095,
903,423,174,238,492,823,401,566,054,476,890,443,150,314,349,568,155,945,413,
269,301,410,003,950,566,534,065,662,605,336,923,972,668,631,385,429,855,142,
665,337,633,110,831,536,859,538,434,482,979,977,096,781,244,513,858,615,372,
499,726,429,346,745,587,987,998,471,107,885,581,125,559,672,086,514,347,905,
959,136,548,677,847,684,304,944,255,642,149,511,293,538,413,777,589,882,596,
559,090,001,371,712,849,249,644,863,677,692,828,001,016,145,500,004,857,282,
615,060,157,292,943,388,249,607,366,631,848,418,443,532,257,275,755,702,410,
773,543,343,084,609,884,332,919,665,645,673,190,050,701,386,871,517,004,845,
393,601,459,396,746,808,096,352,484,650,376,543,617,127,884,676,664,339,666,
991,401,430,310,647,565,002,198,775,142,888,789,170,104,418,497,553,921,121,
338,639,569,031,511,849,259,508,662,907,567,190,208,181,381,137,217,071,270,
989,507,913,852,308,111,095,723,532,233,191,938,149,664,709,083,413,297,063,
987,956,879,216,265,010,586,356,958,964,551,483,255,002,592,886,970,369,765,
364,635,549,574,575,606,598,894,639,849,531,074,601,563,033,295,105,184,060,
170,066,501,608,258,461,245,563,175,726,195,386,025,996,635,476,945,489,641,
072,090,093,212,081,084,544,311,321,582,991,082,329,301,444,702,014,857,988,
150,346,132,620,715,288,143,492,927,602,745,732,634,138,271,749,952,279,597,
111,005,103,634,103,925,469,072,569,111,565,370,754,262,612,773,426,465,162,
809,410,846,589,077,715,072,355,076,754,532,640,188,809,781,378,812,090,488,
825,842,738,296,693,331,647,989,524,691,956,972,557,508,117,761,236,215,209,
459,979,988,265,616,896,973,530,625,719,668,919,106,014,306,085,694,696,858,
761,076,190,173,506,237,674,969,105,421,419,662,064,522,351,655,812,848,683,
263,911,124,077,413,089,094,464,094,793,043,242,929,643,421,326,345,867,580,
533,356,540,921,699,852,299,332,217,872,242,403,017,954,666,259,003,100,501,
884,755,517,635,638,739,668,319,334,444,768,747,037,481,834,251,550,948,601,
933,480,319,001,082,817,956,686,713,766,479,182,750,756,693,116,787,859,284,
649,567,539,554,530,333,719,037,908,949,228,580,040,892,818,213,762,630,058,
939,525,755,656,223,234,476,952,694,497,503,483,164,379,802,592,998,859,877,
618,680,581,819,494,608,988,460,809,829,291,810,591,824,634,767,788,469,563,
313,060,045,891,929,213,895,581,566,306,542,943,943,705,255,033,040,971,281,
884,841,079,630,452,907,310,123,576,002,256,889,283,829,459,368,718,831,712,
934,591,817,579,993,339,917,113,768,665,257,686,826,433,175,825,792,472,534,
016,935,522,908,951,729,751,065,686,479,404,151,775,904,553,319,213,520,244,
969,765,860,244,290,477,468,516,162,698,804,783,328,839,021,793,956,392,238,
670,258,505,323,403,065,267,878,624,964,715,535,008,497,259,286,174,803,300,
173,240,948,825,760,798,694,569,974,771,419,490,301,661,049,806,379,809,036,
053,913,608,794,471,900,420,077,674,573,181,864,324,482,956,639,387,460,773,
744,235,153,273,583,297,645,112,209,914,058,255,332,281,427,239,458,951,684,
981,594,197,888,718,539,237,036,912,967,664,770,545,959,103,752,601,358,316,
823,700,646,356,747,542,457,970,152,119,788,092,089,572,611,185,081,804,464,
886,463,230,812,212,795,875,064,002,337,070,364,623,922,263,521,921,539,450,
941,594,354,375,730,760,659,584,257,016,412,902,766,817,490,885,335,993,831,
638,864,765,023,527,542,668,624,124,892,535,892,776,434,954,642,767,376,702,
839,718,096,610,213,126,137,418,120,406,745,990,071,254,974,585,774,879,867,
923,082,038,893,210,443,117,180,911,290,303,526,795,050,855,623,352,047,396,
739,786,909,926,088,194,644,087,866,701,496,988,607,372,392,153,202,312,528,
724,869,843,257,010,961,951,938,532,355,839,213,214,944,072,309,115,295,448,
475,381,765,051,039,790,907,803,239,446,778,172,228,736,126,273,192,679,388,
079,478,227,656,395,274,762,656,326,915,396,532,474,030,701,863,627,950,339,
336,557,117,171,282,074,437,110,930,965,515,061,801,544,700,729,046,654,653,
581,292,730,327,831,993,215,617,125,243,031,825,108,093,141,118,979,698,645,
051,322,708,348,968,601,815,078,573,760,483,277,988,284,059,207,061,347,030,
586,388,104,588,102,547,873,427,032,434,970,216,058,043,798,812,203,743,609,
587,756,006,836,962,851,148,630,269,107,192,538,836,893,491,744,513,586,804,
463,030,990,620,665,474,619,040,240,324,140,055,583,050,878,250,780,664,749,
693,705,971,519,825,116,813,565,122,731,007,439,006,429,836,509,630,511,216,
722,097,563,564,546,469,186,190,762,115,107,842,207,329,774,014,922,326,906,
624,484,920,973,648,693,535,322,970,388,047,222,721,304,254,922,406,680,308,
234,587,174,232,854,366,460,591,002,857,929,128,849,559,445,937,530,208,467,
603,038,784,083,485,490,763,679,655,707,058,254,080,551,528,393,069,297,951,
733,282,130,269,927,063,684,962,096,767,396,288,533,389,290,847,045,903,573,
844,631,701,231,833,168,026,922,048,429,679,228,896,388,981,586,157,075,991,
340,174,836,063,149,881,501,491,464,275,442,498,827,253,638,207,397,976,149,
463,006,984,600,999,261,693,240,702,556,502,518,817,852,318,934,850,887,871,
375,972,989,264,201,436,864,500,434,090,020,480,623,035,986,470,557,356,446,
910,045,654,727,531,588,947,003,268,684,182,071,227,783,660,506,037,397,221,
420,023,149,661,359,301,549,456,248,379,426,750,620,235,148,587,191,675,998,
546,230,660,204,759,084,935,182,456,272,607,463,773,223,911,163,384,273,201,
708,361,567,277,252,682,173,649,063,094,526,157,402,390,926,147,876,434,742,
874,933,794,541,639,989,512,835,884,852,016,805,880,707,287,798,847,751,695,
844,895,302,842,796,545,852,705,379,869,045,916,342,999,950,318,406,409,584,
311,105,833,592,234,507,570,090,556,852,027,185,161,379,218,727,429,231,416,
844,623,420,698,757,381,124,211,049,595,047,264,693,060,146,614,118,856,255,
778,377,064,560,284,473,837,513,541,991,858,161,696,247,284,006,164,770,689,
952,489,835,671,753,699,744,959,699,197,329,615,358,633,199,732,923,089,865,
540,803,260,398,003,362,893,294,466,804,469,516,392,513,808,868,597,470,089,
415,809,088,725,070,963,797,422,695,140,482,193,592,952,931,789,910,649,822,
599,184,597,597,714,426,599,252,522,809,097,459,049,414,907,761,588,676,586,
964,972,874,764,510,758,672,398,935,427,447,096,270,287,719,097,777,513,592,
244,805,237,006,193,019,621,655,106,308,147,365,979,033,300,232,746,019,463,
651,600,508,564,861,637,443,379,300,936,731,221,785,452,192,735,114,965,406,
331,530,478,482,336,977,146,759,410,001,826,876,911,337,285,029,375,017,767,
413,125,579,591,814,226,388,584,514,439,376,558,277,409,054,435,307,412,205,
487,380,546,948,515,436,586,618,816,909,644,626,628,603,478,918,035,575,367,
037,495,762,308,772,308,578,685,014,979,951,539,256,699,299,292,163,612,889,
781,557,366,106,341,725,704,677,020,708,162,534,766,905,351,576,614,706,342,
071,111,082,459,531,611,909,055,209,365,475,587,750,397,113,564,076,026,335,
628,723,267,270,443,286,795,534,705,899,471,225,975,744,905,962,748,367,855,
385,656,773,003,995,596,027,803,780,485,100,684,946,958,042,073,647,160,453,
494,847,127,774,504,860,223,500,779,129,830,455,226,600,225,972,839,087,705,
050,535,970,383,705,767,674,777,342,292,321,595,211,811,128,797,953,577,289,
704,044,013,380,920,552,399,468,262,533,623,148,111,833,513,794,188,786,075,
882,955,155,844,753,089,138,423,197,806,347,954,081,629,266,735,677,359,503,
010,051,709,891,675,522,093,055,928,731,662,101,050,359,340,241,676,606,955,
131,743,387,699,384,426,576,080,749,254,718,045,052,984,829,415,382,875,941,
930,577,684,686,554,041,377,698,644,812,578,683,986,436,763,019,871,611,526,
088,170,560,129,039,265,330,812,208,714,730,332,332,914,324,941,251,560,840,
899,908,964,696,107,638,709,075,389,899,633,423,268,354,699,427,423,003,706,
867,574,195,027,967,515,822,251,827,954,261,975,109,503,100,882,549,075,288,
427,677,948,051,321,022,893,686,051,403,372,575,293,667,379,916,487,939,886,
981,377,044,040,186,032,913,022,446,877,313,778,296,015,071,219,667,776,390,
310,501,579,602,694,643,241,010,755,956,734,216,015,128,096,166,794,165,233,
446,146,129,655,792,785,234,436,837,510,225,889,127,262,021,230,827,934,478,
321,908,422,517,845,044,814,750,838,849,765,827,473,499,994,576,352,700,876,
433,053,750,991,269,418,184,023,797,780,962,177,983,935,755,954,239,633,055,
327,852,549,836,083,846,463,283,638,730,934,938,314,744,491,551,835,417,878,
192,806,728,670,997,478,017,228,979,791,710,558,736,508,932,883,472,074,492,
951,542,176,110,298,804,367,211,197,197,058,559,296,137,927,591,694,669,341,
319,288,358,444,610,000,750,687,565,576,776,810,632,960,373,382,229,439,643,
489,120,960,941,709,010,699,115,268,446,846,693,152,971,339,776,762,768,598,
304,325,406,436,689,336,997,903,395,959,085,785,468,749,755,240,606,282,735,
171,582,435,525,093,130,278,147,568,836,257,110,619,041,857,223,980,893,842,
664,367,813,323,701,735,528,716,645,392,052,743,712,927,312,562,930,762,560,
197,870,573,732,385,589,726,772,392,607,267,654,861,452,387,830,774,995,744,
221,259,311,375,356,268,121,067,715,029,752,596,915,747,498,926,043,635,635,
777,051,451,813,381,694,233,501,522,054,773,898,802,783,677,826,569,267,412,
554,498,839,867,823,467,326,809,922,357,738,788,170,666,009,233,258,866,730,
732,013,939,295,869,295,634,606,868,168,814,011,745,444,622,846,704,776,468,
694,915,508,489,402,827,145,764,776,295,604,104,391,593,842,628,451,106,282,
626,334,463,033,885,040,495,838,865,627,334,780,240,036,877,749,071,260,030,
853,197,926,234,543,829,107,650,686,880,158,989,879,922,128,673,438,112,719,
128,959,711,568,405,174,689,932,578,459,165,963,114,108,956,441,525,290,332,
353,948,956,437,053,424,685,442,696,346,820,341,019,039,184,249,545,863,025,
575,372,615,161,192,903,632,229,094,857,034,504,848,231,590,930,124,851,558,
543,291,382,170,849,369,835,766,572,750,773,535,525,259,516,655,246,859,970,
534,955,323,415,048,946,964,656,297,382,003,871,563,040,795,261,230,106,906,
862,322,316,014,343,892,207,871,847,424,390,050,985,289,875,371,251,800,850,
059,527,932,715,173,666,545,913,672,099,438,244,291,727,393,817,457,643,972,
969,933,568,869,337,777,451,093,077,614,329,447,713,829,347,295,852,741,639,
649,576,654,310,360,526,539,409,587,488,051,625,027,166,451,030,418,670,157,
403,682,631,606,566,089,531,989,363,436,048,239,612,019,935,243,688,358,877,
784,291,504,857,607,230,794,844,332,873,496,415,827,646,859,956,640,120,039,
203,636,297,503,916,930,007,422,199,251,722,731,151,759,929,186,763,881,681,
867,567,156,622,343,793,480,495,703,395,186,784,658,971,776,630,649,437,528,
661,008,255,411,794,049,138,398,987,905,051,539,194,957,963,191,852,702,722,
571,244,877,436,111,264,092,719,374,190,537,022,888,734,049,838,049,094,484,
287,367,414,646,022,573,775,422,974,517,765,805,931,116,161,975,101,686,116,
903,845,654,171,648,287,613,627,547,015,502,965,419,733,868,290,788,738,904,
645,031,492,166,489,714,040,496,576,189,589,668,550,828,274,714,351,571,245,
470,044,371,371,620,115,652,450,337,732,317,776,697,556,382,512,602,875,703,
517,943,881,409,673,912,586,485,560,044,168,714,343,604,345,004,276,263,256,
506,592,605,962,960,865,701,446,666,165,647,629,103,643,336,675,657,301,013,
037,961,182,962,607,105,692,650,983,005,700,190,194,177,263,495,897,427,842,
627,153,843,227,143,280,617,806,956,969,907,802,804,708,601,758,377,854,890,
957,192,312,593,614,382,532,816,480,839,785,197,327,973,595,238,881,691,820,
798,340,273,734,899,139,894,908,371,951,705,624,966,221,764,324,721,528,116,
247,479,590,271,657,538,372,878,128,529,634,007,269,400,535,246,942,596,167,
401,823,885,269,872,762,458,227,682,679,701,620,655,157,772,829,167,606,041,
184,164,590,031,547,861,690,598,564,069,766,766,044,869,217,708,290,519,729,
342,757,934,098,837,020,592,131,483,445,475,555,022,475,475,228,373,420,055,
093,542,006,446,835,301,986,569,705,241,380,071,537,209,097,153,978,144,355,
954,259,639,613,564,917,888,776,745,621,258,055,613,405,610,669,105,635,782,
938,079,743,977,155,503,062,891,174,607,956,990,260,074,898,465,398,766,958,
818,107,738,657,692,224,151,018,605,945,120,230,473,768,922,893,259,623,238,
083,512,403,356,848,270,382,216,648,779,037,909,997,962,253,764,091,209,606,
948,440,444,956,577,923,303,883,410,472,128,573,136,738,924,746,195,625,027,
506,143,885,718,825,334,965,849,997,096,660,727,084,491,080,591,309,233,231,
727,207,180,324,944,420,414,198,400,433,551,446,408,038,620,616,713,972,504,
311,950,539,641,954,117,445,907,159,343,332,044,611,197,338,449,001,420,873,
039,939,800,138,506,479,095,870,632,544,327,239,139,880,425,207,096,541,322,
624,716,354,422,390,652,839,737,025,775,880,504,334,014,941,576,625,000,003,
439,123,966,155,691,184,941,253,252,100,935,669,565,309,999,863,676,932,936,
154,755,276,209,994,186,531,785,752,539,965,557,168,919,542,002,413,582,713,
217,724,109,912,927,560,751,929,157,988,086,818,323,646,819,088,810,257,980,
183,824,504,420,204,062,463,904,154,669,858,074,640,254,400,639,661,145,672,
399,178,258,578,553,786,161,248,585,931,235,000,737,555,280,589,591,103,938,
326,804,697,367,549,591,570,417,582,894,451,215,282,656,706,725,635,824,724,
755,498,902,159,530,038,047,638,289,890,978,972,309,205,009,025,922,636,985,
094,213,655,962,292,629,997,399,237,036,192,428,414,427,992,614,831,277,842,
240,854,585,043,602,760,802,950,457,966,438,747,300,506,614,441,705,998,006,
963,450,892,838,592,998,356,700,947,483,218,487,652,225,975,423,740,140,978,
174,501,869,257,404,187,954,349,315,813,921,739,633,521,571,617,874,555,311,
307,371,794,427,097,416,353,161,168,178,613,744,740,254,930,838,716,449,018,
251,298,531,100,269,364,392,853,070,357,692,722,903,019,943,065,858,213,227,
375,271,816,037,063,269,781,140,028,144,050,138,268,254,410,533,611,121,954,
027,316,404,839,989,441,526,279,251,252,818,758,534,178,620,443,856,626,727,
776,945,352,566,313,849,315,799,725,864,513,604,647,448,903,742,687,746,815,
283,934,523,419,054,101,338,892,808,285,625,011,662,969,268,477,184,028,842,
890,065,165,482,135,595,880,793,854,620,256,716,953,880,739,544,920,086,641,
764,552,304,107,413,921,326,996,616,985,331,539,872,466,866,886,783,560,812,
138,042,465,518,090,943,748,085,559,058,283,053,746,615,086,619,656,012,842,
468,583,586,983,069,460,697,050,001,106,448,305,576,668,742,034,351,445,958,
020,541,500,330,286,394,960,739,437,948,020,815,926,460,886,793,094,780,980,
352,939,206,972,935,092,963,534,764,617,569,812,642,797,395,015,658,726,492,
871,913,714,949,363,005,073,778,818,736,492,073,489,084,427,474,781,852,903,
349,942,797,921,734,585,893,226,095,322,691,405,199,202,323,940,247,231,730,
732,053,779,079,965,403,175,156,558,664,441,805,940,919,484,760,428,451,519,
154,415,244,165,700,212,076,591,268,431,574,559,925,081,956,703,666,126,883,
525,467,573,400,136,186,786,382,149,753,008,543,079,821,195,573,427,595,239,
766,923,427,840,494,017,456,728,132,120,560,943,907,843,994,951,247,090,568,
491,716,712,207,947,520,510,295,999,342,143,199,331,335,482,144,305,697,277,
108,115,249,096,483,202,942,782,495,701,563,639,462,433,634,847,729,510,452,
820,948,829,974,011,165,926,919,910,486,588,313,747,063,699,092,386,576,083,
711,369,202,552,390,639,852,682,633,236,013,387,782,945,182,703,525,634,816,
434,899,797,949,430,704,704,244,287,676,987,246,851,401,531,344,088,546,556,
343,056,881,935,356,110,882,587,279,312,675,573,722,622,387,748,045,907,171,
778,185,771,720,420,989,613,623,812,666,741,364,085,684,021,361,758,968,379,
158,041,404,761,290,817,403,691,134,016,048,041,341,397,497,663,854,556,283,
529,947,412,969,780,409,286,404,061,489,019,269,581,145,927,017,529,871,471,
536,641,991,338,704,725,073,384,617,651,413,217,507,504,608,861,437,529,826,
120,011,018,927,549,354,999,428,489,902,989,348,886,322,726,008,921,873,040,
440,104,950,918,941,115,724,611,388,028,758,687,695,492,191,052,657,202,032,
405,390,407,251,243,109,565,829,667,038,847,606,254,513,280,120,011,510,290,
271,262,514,525,288,340,056,651,684,568,052,376,554,767,212,910,351,935,309,
589,888,531,533,761,378,176,031,085,903,623,651,849,520,436,027,335,974,251,
292,026,891,641,115,653,133,909,539,817,583,412,011,663,609,822,026,483,998,
802,780,280,472,626,708,409,021,064,601,652,186,588,868,226,289,498,467,081,
359,727,511,420,221,404,483,349,056,916,361,408,000,870,330,443,330,356,816,
968,596,184,596,753,965,679,546,220,664,404,733,640,732,838,414,861,088,732,
642,891,876,120,000,371,143,369,744,223,511,483,444,806,103,718,963,181,871,
509,690,137,227,929,906,452,858,747,095,131,693,707,843,683,624,208,932,013,
906,573,726,159,351,930,013,171,764,811,139,266,357,847,252,494,487,336,271,
129,027,477,820,535,323,246,169,361,538,488,980,046,811,520,379,570,933,146,
382,783,230,495,834,611,174,727,206,902,253,255,402,129,571,853,936,108,514,
474,042,792,223,930,270,024,907,022,071,531,703,685,020,791,318,339,201,410,
195,006,235,452,008,211,629,565,851,456,861,573,585,457,874,398,306,771,803,
316,717,372,887,380,511,149,502,318,005,643,451,232,583,680,401,268,076,514,
201,266,300,237,741,885,210,596,567,384,168,583,702,993,343,266,578,097,882,
480,034,867,847,607,694,690,865,067,004,929,543,245,609,892,514,031,414,401,
127,735,121,255,983,845,106,134,290,266,207,332,096,986,034,980,089,969,903,
870,920,312,757,743,017,664,671,741,158,143,511,961,296,403,637,585,630,962,
295,046,155,853,967,599,750,714,685,544,756,226,712,590,061,310,742,926,200,
843,703,323,880,297,338,764,811,732,067,868,509,710,853,455,640,048,966,624,
670,966,818,957,167,933,381,064,253,010,907,554,901,245,221,162,284,215,994,
516,417,062,163,132,305,429,408,104,606,897,999,718,519,917,730,133,462,948,
442,106,412,468,559,988,547,999,394,965,958,389,537,846,539,305,104,316,742,
425,710,211,151,399,893,398,582,019,076,598,592,641,405,968,545,376,978,659,
412,027,139,225,002,227,761,267,372,751,729,903,142,007,630,744,482,643,720,
345,213,873,624,744,097,588,269,421,621,961,187,001,007,456,973,822,006,623,
497,806,969,499,310,108,059,724,101,430,903,094,539,658,884,741,295,895,770,
623,657,446,635,626,210,582,034,016,307,028,788,160,438,715,522,756,377,902,
277,117,402,684,750,000,689,142,606,213,026,122,369,919,406,085,455,438,659,
312,107,164,590,281,982,527,166,937,861,782,636,262,003,015,512,941,618,529,
640,060,674,772,834,480,851,822,911,702,985,515,431,450,214,908,620,595,873,
306,476,482,298,991,251,899,071,713,376,881,157,640,442,578,773,340,925,832,
267,983,089,905,918,241,695,801,653,457,453,953,233,645,801,862,373,760,794,
946,696,001,015,891,150,173,572,579,749,724,521,746,699,766,880,024,384,815,
934,519,469,565,376,789,094,000,160,871,370,234,086,553,382,138,136,900,887,
607,626,856,736,793,489,562,284,982,638,408,181,879,130,257,300,817,240,685,
769,424,535,329,475,673,808,914,448,946,574,326,944,833,582,183,875,954,247,
028,257,260,494,239,938,905,908,998,227,670,252,039,520,561,303,990,782,468,
657,756,002,480,856,764,140,877,954,680,476,845,917,876,601,066,287,611,084,
127,475,823,578,457,823,095,488,129,496,660,638,001,555,255,726,199,588,345,
238,097,511,079,559,163,133,156,138,481,420,159,061,358,124,822,572,711,662,
807,959,527,532,624,185,191,464,681,705,251,538,621,192,313,667,997,488,340,
973,975,669,759,734,418,155,627,890,890,337,770,044,847,306,478,998,025,194,
599,197,800,272,087,869,689,339,467,204,240,536,078,868,173,610,123,174,539,
979,376,403,012,492,287,280,397,664,447,528,479,686,182,375,228,414,178,009,
802,360,957,134,264,339,134,598,479,572,605,500,607,576,991,621,513,858,790,
733,967,503,010,317,713,688,410,389,895,199,510,540,059,291,511,313,099,762,
081,510,937,610,861,560,349,148,992,462,126,377,883,992,684,483,846,646,633,
252,384,341,416,162,411,857,151,742,523,465,813,483,344,114,865,757,711,569,
332,932,636,078,764,803,109,043,484,147,814,683,677,315,300,971,440,478,579,
225,925,733,696,934,101,147,942,611,596,603,469,367,180,789,439,122,952,181,
397,673,779,014,726,108,286,134,869,853,375,217,538,597,229,802,078,446,372,
824,303,827,995,207,184,782,653,862,113,878,823,712,476,034,006,587,185,198,
810,558,175,731,071,068,862,980,856,747,754,844,898,968,719,869,223,508,563,
385,079,297,976,140,354,763,453,966,076,824,895,529,924,034,868,047,840,752,
601,661,903,087,594,437,331,376,266,691,287,615,243,524,998,967,478,234,535,
385,963,832,701,644,880,248,796,944,761,046,340,764,832,012,523,940,311,103,
304,099,114,801,389,713,695,681,617,567,329,983,575,083,726,144,370,810,268,
889,701,434,380,019,705,090,074,536,540,019,451,201,160,156,530,501,716,421,
491,380,131,775,755,646,345,043,111,047,838,989,330,985,307,694,103,731,749,
598,921,952,710,900,100,262,509,705,567,696,423,235,494,175,146,413,559,884,
877,628,577,055,866,007,556,822,810,805,352,519,263,477,824,021,437,657,267,
827,320,060,166,363,974,194,389,969,539,367,296,478,039,462,286,111,882,462,
149,415,563,457,094,768,057,204,454,789,741,270,600,239,902,589,619,132,535,
015,175,879,390,176,205,675,242,240,593,617,100,863,271,136,712,975,996,725,
873,782,043,597,262,372,541,245,729,822,172,325,509,638,012,287,748,344,071,
912,079,803,505,284,668,906,161,581,427,554,295,896,389,336,405,753,590,654,
051,287,213,040,350,392,822,966,182,162,971,698,274,020,872,374,401,438,937,
834,698,269,480,797,860,655,479,528,389,645,695,577,309,551,866,931,813,828,
241,252,447,982,808,606,131,966,707,049,679,910,302,207,266,370,271,408,965,
617,969,028,633,683,119,068,706,306,230,668,752,364,545,174,737,551,363,919,
747,843,853,214,314,669,074,352,281,667,985,051,579,033,461,414,609,743,404,
977,642,444,722,148,495,433,686,723,929,601,589,102,633,199,687,925,040,822,
189,500,015,804,136,226,822,993,037,142,845,216,249,225,555,093,248,605,699,
822,412,186,175,963,686,703,078,778,593,187,111,689,892,183,409,527,590,076,
687,243,827,942,368,945,087,053,723,291,605,907,667,638,908,544,638,865,558,
668,966,307,750,526,372,866,138,677,654,721,200,441,710,475,282,040,079,948,
362,334,989,812,165,778,296,969,300,484,350,749,366,591,437,979,530,838,135,
124,904,147,965,254,599,846,503,917,048,630,786,323,827,516,176,056,099,349,
110,306,002,024,925,412,802,318,589,270,898,710,048,385,572,985,253,544,787,
487,825,967,842,665,459,772,503,804,464,642,395,280,551,222,300,520,499,027,
925,032,222,222,147,218,319,401,750,829,633,627,149,279,142,616,412,482,179,
636,175,646,220,411,355,574,777,746,957,861,272,760,250,556,647,918,491,084,
730,351,938,758,958,340,026,490,390,305,566,083,783,728,250,680,434,527,201,
055,279,118,710,499,124,769,471,569,379,544,228,508,823,367,631,004,367,725,
347,172,413,186,897,253,203,103,427,316,321,405,316,225,261,619,202,395,804,
880,757,764,083,508,151,056,782,864,475,221,068,450,241,837,020,934,111,103,
244,057,435,653,944,888,016,978,179,969,995,665,732,467,966,480,048,792,459,
401,876,568,914,729,850,558,816,037,677,748,458,739,194,115,587,976,779,207,
226,860,952,224,660,378,924,731,208,564,583,494,005,241,737,496,377,147,622,
368,467,036,797,735,157,754,191,224,353,806,952,298,015,929,364,824,881,386,
387,907,188,860,807,250,446,431,158,470,732,268,530,264,987,395,539,921,265,
038,919,038,648,924,696,036,078,169,228,067,296,370,633,810,907,098,177,875,
211,161,966,304,398,057,074,920,823,527,089,384,797,436,164,063,918,388,397,
070,248,958,379,816,335,772,531,070,541,129,571,819,958,509,362,562,684,235,
890,064,021,380,727,735,539,323,273,737,975,761,379,009,125,813,149,034,659,
090,266,781,594,471,827,315,854,293,774,238,020,457,880,100,405,555,740,209,
100,180,478,519,441,469,365,859,316,642,320,945,273,913,297,607,136,442,884,
496,075,858,846,858,676,384,833,021,984,635,727,063,677,623,317,941,138,356,
014,691,070,497,888,301,439,397,351,443,786,780,819,010,114,813,357,896,145,
593,685,486,824,283,629,974,771,377,473,595,984,526,340,879,853,267,603,038,
385,757,138,462,926,293,830,210,160,682,980,580,430,788,649,059,369,307,331,
368,631,104,041,968,006,846,057,489,486,043,449,238,891,347,907,765,251,535,
520,443,320,424,193,481,834,399,721,039,107,263,379,562,995,685,522,762,078,
197,363,767,401,556,148,996,617,628,647,862,947,060,237,721,505,157,460,789,
624,766,446,250,461,661,222,523,685,161,998,837,690,175,671,499,042,456,299,
033,527,271,841,836,458,500,464,309,601,276,116,499,184,901,755,240,672,701,
464,606,294,844,360,574,741,956,052,431,720,212,538,070,876,137,191,043,463,
874,515,033,588,288,821,429,226,958,565,281,465,679,416,903,704,151,612,356,
755,495,419,842,110,603,231,732,891,287,294,170,547,596,419,452,027,330,021,
268,445,336,769,315,200,675,207,452,544,531,704,287,734,923,597,746,516,591,
378,668,492,924,227,246,993,317,907,083,799,027,469,187,755,780,025,897,761,
913,751,646,506,850,363,866,977,680,241,504,856,747,659,466,878,489,388,168,
904,905,120,523,455,076,783,577,676,919,770,875,628,905,482,572,954,652,692,
964,403,571,478,762,896,580,296,395,170,218,370,400,209,014,006,000,947,612,
235,028,492,414,355,967,419,089,124,128,395,695,871,696,106,893,021,906,185,
581,120,679,384,047,130,495,663,590,881,881,699,797,444,428,135,071,785,884,
216,325,541,753,210,214,325,578,761,447,360,989,279,961,524,388,161,877,830,
197,370,907,569,089,882,527,484,733,097,050,233,139,333,291,836,525,312,807,
692,216,059,302,612,977,242,816,688,485,175,529,890,003,041,267,910,892,629,
040,334,831,134,382,715,871,754,323,164,170,236,958,778,421,897,985,629,164,
660,089,358,274,588,461,651,041,501,855,350,266,812,447,341,542,245,010,363,
532,238,644,897,808,317,057,315,518,390,591,233,896,118,069,526,962,421,459,
410,921,185,508,652,868,517,747,976,472,885,444,119,953,150,279,624,954,290,
249,259,430,178,720,807,354,483,583,760,680,906,009,051,592,589,942,647,995,
842,306,987,506,215,788,162,291,214,219,432,080,929,685,362,782,158,680,894,
274,796,117,792,238,079,841,551,240,171,969,393,428,474,002,215,107,789,777,
929,729,101,659,861,596,903,097,593,238,252,152,845,672,436,053,839,567,164,
142,626,344,435,992,845,522,315,958,366,391,842,185,358,303,142,607,031,057,
662,262,033,948,016,978,605,917,063,332,238,406,419,113,078,965,392,680,334,
493,616,398,371,526,116,523,736,039,717,847,910,878,622,916,478,496,007,160,
235,107,564,237,722,856,074,613,609,100,660,355,470,001,341,195,156,875,447,
419,287,026,149,621,885,141,425,497,151,709,690,369,414,061,034,063,135,266,
379,383,578,932,674,424,285,952,080,473,374,176,786,673,090,222,953,685,767,
016,208,456,297,494,800,843,950,791,449,546,643,467,329,159,510,876,162,280,
739,965,572,198,164,049,563,499,365,038,701,490,807,922,147,996,898,324,335,
619,308,828,029,557,500,605,039,768,876,436,525,598,196,096,685,646,028,701,
554,802,409,641,357,925,793,986,508,098,523,251,809,952,994,700,308,075,886,
061,976,842,768,336,409,151,920,847,101,069,190,229,850,806,398,959,682,079,
566,241,338,401,737,533,895,546,909,682,043,857,428,994,268,637,987,964,000,
453,158,700,468,665,283,798,160,870,240,779,710,952,334,166,919,082,172,157,
775,309,054,001,453,094,908,245,836,628,019,898,767,619,657,182,630,767,405,
605,602,130,431,942,188,897,988,753,865,761,661,423,550,486,195,069,656,691,
193,751,720,502,187,942,750,234,930,303,043,122,483,417,138,407,033,561,052,
569,763,843,043,987,286,310,545,884,621,116,156,683,890,561,935,886,842,239,
923,547,871,008,187,285,028,378,222,052,630,887,308,184,977,526,754,205,331,
855,868,802,772,537,360,344,928,922,316,208,931,874,026,196,699,822,059,224,
514,816,019,651,507,254,509,228,115,499,758,559,398,927,781,274,410,586,684,
358,314,578,096,571,097,235,342,089,917,097,384,722,895,958,396,055,790,895,
841,852,058,448,038,091,485,289,807,784,708,904,671,936,303,223,414,822,229,
230,506,553,646,056,563,428,336,420,097,684,151,500,011,417,449,686,719,713,
445,255,782,586,523,286,980,286,652,158,785,281,863,586,067,382,058,309,897,
604,740,693,691,995,604,232,233,321,201,343,280,419,031,061,170,133,922,830,
657,423,625,032,493,817,525,629,506,751,444,845,883,623,377,303,466,180,922,
638,239,803,691,228,001,560,075,347,451,321,523,915,690,185,989,896,275,723,
714,740,856,891,243,950,458,280,206,966,331,761,480,014,297,883,405,666,823,
065,616,866,165,622,178,318,346,392,104,278,188,033,372,954,906,703,527,298,
067,121,430,084,602,523,102,318,297,340,431,546,146,123,219,580,204,991,758,
798,685,824,143,482,930,926,773,256,085,199,760,058,986,646,934,158,213,853,
345,909,469,475,513,169,540,541,427,689,475,097,363,088,353,287,070,188,220,
073,572,728,003,367,746,275,428,578,401,183,238,091,617,201,956,917,181,070,
623,971,959,288,698,171,531,030,379,537,226,065,041,904,095,807,334,950,082,
102,002,171,350,775,109,965,899,255,278,985,219,743,230,302,399,945,652,971,
942,650,992,451,788,867,704,767,707,662,067,027,122,818,175,049,110,445,068,
456,865,739,814,763,367,378,786,059,646,541,953,085,360,410,675,184,854,204,
748,897,768,657,968,994,324,527,027,704,666,188,448,721,397,951,035,536,207,
056,425,173,203,886,154,441,196,780,933,564,643,180,357,473,608,127,960,792,
410,038,023,449,865,986,382,565,614,172,312,866,527,484,691,055,488,424,903,
978,335,304,420,521,477,515,358,504,638,774,106,441,164,479,829,826,991,193,
379,929,726,834,143,808,732,703,929,837,700,489,203,764,967,286,124,817,530,
912,616,754,165,003,915,095,046,284,438,558,277,370,369,444,900,692,210,717,
853,413,474,382,541,810,229,980,435,638,869,773,201,546,988,225,010,843,768,
099,368,672,010,941,758,903,460,351,081,983,558,523,232,648,439,129,995,170,
925,770,602,729,994,252,500,134,163,798,479,995,431,915,856,358,123,544,708,
110,396,094,026,782,772,015,284,314,031,668,687,129,729,748,072,994,260,946,
215,302,344,711,401,002,296,482,216,843,772,604,109,697,708,634,811,032,051,
840,411,836,506,305,428,845,261,117,908,482,417,923,303,547,088,827,923,817,
243,444,802,696,428,040,027,486,789,936,431,982,704,446,746,232,370,787,488,
797,954,478,702,848,483,172,919,563,471,842,622,145,900,520,419,805,558,572,
208,010,227,998,329,511,550,671,937,135,487,216,505,504,612,041,341,871,066,
403,394,870,116,217,891,503,845,938,407,382,900,513,702,072,650,086,777,221,
971,412,817,112,422,683,362,292,267,510,807,555,901,284,430,904,463,272,435,
838,253,310,459,161,243,546,969,548,951,319,521,927,492,061,001,310,254,975,
446,322,054,894,978,502,912,699,965,693,829,733,547,438,994,151,896,745,425,
460,887,789,914,825,890,358,200,505,665,451,705,456,196,531,413,043,473,478,
464,090,458,846,297,298,652,761,505,800,822,271,871,421,720,824,713,450,507,
918,324,703,184,485,169,269,305,949,484,595,976,461,215,826,658,758,850,158,
868,574,861,943,645,706,047,245,681,959,557,868,397,355,079,689,039,997,012,
896,389,656,244,835,017,658,689,631,729,958,931,061,176,204,505,695,712,636,
516,088,770,134,081,374,408,123,264,027,316,856,340,652,990,706,726,547,335,
439,343,590,702,114,043,304,257,267,247,513,882,346,201,351,939,366,855,379,
463,901,933,761,613,335,263,740,624,695,954,146,648,970,239,413,194,365,445,
568,765,657,538,243,706,592,193,101,832,956,646,179,678,685,341,630,329,297,
616,426,865,582,931,394,708,952,601,323,336,944,708,353,644,720,798,761,340,
303,457,988,593,221,917,874,217,356,524,960,574,784,096,378,685,203,482,609,
346,094,553,482,090,087,094,292,572,595,265,832,581,202,307,139,295,227,495,
523,879,211,514,027,688,658,957,810,537,939,936,087,883,542,144,069,532,229,
245,066,613,465,940,699,650,901,480,108,989,908,107,936,118,400,747,410,049,
525,777,553,093,669,329,674,471,604,625,722,886,818,326,653,376,926,443,980,
766,696,967,275,547,887,250,814,008,673,694,124,012,003,415,578,947,404,160,
395,394,552,986,482,833,970,749,328,190,253,157,955,350,013,414,282,066,327,
854,878,803,642,067,601,365,234,564,749,640,701,143,093,490,648,252,961,300,
269,617,606,974,910,347,936,234,288,159,150,461,368,116,006,277,338,212,164,
192,784,602,371,575,806,873,993,074,592,204,689,079,912,484,415,814,875,566,
299,317,633,879,392,610,285,589,151,699,392,787,882,076,344,672,455,639,056,
889,481,431,651,501,550,109,689,500,289,709,336,347,836,239,495,011,651,188,
121,500,600,690,007,467,050,782,750,952,113,297,456,162,088,915,474,868,902,
818,658,910,131,455,086,754,012,723,091,786,494,753,846,285,941,556,866,187,
904,048,634,350,083,001,517,106,501,927,467,160,748,198,664,327,856,932,418,
139,603,637,257,491,996,821,940,877,192,521,164,858,903,883,861,585,265,393,
468,002,407,100,830,167,994,083,722,435,217,173,130,097,041,895,241,622,788,
861,550,117,319,182,467,440,302,676,741,928,528,866,902,216,354,954,366,373,
359,100,294,527,706,125,801,902,635,095,172,544,259,119,979,633,056,039,389,
465,422,731,677,522,294,408,862,726,927,249,305,690,827,784,142,672,357,089,
686,252,961,977,028,231,563,012,080,415,365,390,631,864,403,979,376,118,501,
384,781,770,610,136,644,581,195,208,329,612,251,180,481,203,737,010,383,201,
148,412,345,559,720,646,485,470,395,919,217,536,046,846,230,844,697,710,179,
560,792,704,942,226,457,805,274,244,313,944,226,661,999,698,219,631,235,308,
679,667,625,452,230,153,534,535,387,273,763,199,684,111,730,688,194,632,426,
660,451,802,025,811,557,812,028,274,307,020,680,665,363,872,626,680,152,475,
652,259,671,896,835,900,646,998,076,754,571,224,166,048,291,374,001,456,579,
482,931,328,582,042,621,470,280,541,325,583,263,365,906,346,600,015,274,617,
099,914,059,026,041,057,833,529,652,677,216,284,966,590,815,463,032,773,439,
645,808,809,483,629,597,093,209,555,885,116,125,853,407,647,580,878,010,324,
575,100,600,093,080,211,703,471,053,583,203,438,959,602,721,456,131,697,358,
719,464,653,562,163,554,390,846,044,437,348,112,655,596,719,561,438,058,352,
276,416,422,286,823,274,118,459,265,659,788,944,821,367,997,578,113,315,342,
761,303,062,317,288,306,552,762,930,317,989,604,205,125,649,643,614,995,916,
915,247,784,239,032,320,783,408,428,026,031,833,845,783,569,399,694,227,129,
171,734,538,404,522,645,545,993,568,055,789,134,226,196,723,850,064,679,394,
934,176,047,686,260,642,105,067,942,830,748,916,548,907,187,940,415,114,191,
954,408,282,690,629,154,837,384,854,283,071,337,956,119,241,595,236,072,728,
664,497,733,759,092,245,485,296,515,340,177,782,912,302,578,428,880,905,789,
856,449,247,055,700,611,262,795,042,782,585,087,615,346,609,349,159,120,819,
138,429,303,594,547,883,290,116,811,665,687,200,335,695,843,251,725,495,238,
033,771,169,197,630,265,139,278,078,924,264,189,346,889,846,152,607,856,069,
984,856,149,131,116,906,067,670,733,293,097,118,891,725,231,634,167,837,420,
317,269,588,011,805,621,738,629,284,472,664,453,906,225,658,430,754,140,577,
985,034,925,059,045,716,923,184,367,711,239,812,262,788,995,050,478,358,570,
992,102,411,527,096,899,565,073,098,524,055,543,082,632,302,143,698,796,414,
448,451,217,652,432,106,918,082,430,844,723,360,235,449,743,241,891,968,498,
311,480,118,630,255,598,980,137,393,162,884,542,110,213,830,631,399,697,034,
333,153,645,218,845,925,811,758,705,649,978,908,278,215,975,029,497,519,168,
182,153,529,602,896,216,046,506,020,774,497,859,257,780,349,593,177,690,750,
500,169,183,307,369,864,906,996,882,355,617,374,760,778,769,540,190,729,617,
556,417,455,808,978,866,131,254,650,231,608,278,481,856,196,828,530,768,919,
547,972,648,703,833,749,954,937,090,963,934,272,306,515,211,546,352,458,158,
806,228,516,613,341,173,533,825,370,287,655,953,462,103,011,429,976,611,602,
884,393,949,684,347,187,306,050,980,914,721,081,665,495,045,724,273,151,239,
271,927,298,399,055,312,133,436,386,114,571,273,067,545,672,870,914,222,398,
081,505,180,416,327,429,574,609,056,259,544,598,344,171,151,714,998,638,855,
434,037,637,955,324,280,612,784,494,024,822,643,384,428,114,250,207,114,062,
054,559,890,597,377,361,294,404,140,659,195,965,816,199,970,851,830,735,288,
211,785,639,605,060,377,954,669,228,558,715,708,879,494,168,480,123,581,844,
592,471,501,044,284,778,610,898,724,490,569,253,781,291,127,804,685,405,940,
223,214,404,167,453,961,048,597,609,006,419,012,561,009,329,950,423,369,247,
204,660,336,183,464,269,833,764,391,502,958,265,858,143,341,774,380,821,073,
773,397,841,272,608,552,267,672,408,596,560,838,143,561,198,907,791,057,064,
230,850,039,278,159,322,746,914,719,025,308,112,276,900,757,475,235,911,437,
155,350,751,812,521,121,085,156,206,606,145,858,031,978,108,318,232,372,116,
948,004,167,269,970,359,621,091,657,000,562,924,784,879,118,159,803,330,138,
312,297,127,050,266,163,240,208,866,905,121,304,950,290,851,002,335,600,252,
750,584,704,704,893,816,955,964,488,012,748,494,204,476,154,185,698,167,988,
910,321,055,015,806,697,518,368,526,786,751,056,414,669,945,207,725,556,513,
064,882,002,806,207,077,247,042,244,488,209,535,283,625,953,655,040,536,318,
747,070,891,866,556,231,860,623,420,098,134,982,445,339,378,302,580,312,651,
718,161,888,306,140,177,033,794,510,232,797,452,688,368,154,769,782,426,641,
796,165,711,448,317,012,755,000,429,529,770,562,313,494,666,696,166,599,318,
355,161,358,444,346,211,987,417,255,283,356,379,482,746,163,282,017,878,781,
008,882,408,638,470,504,206,562,677,424,088,338,601,719,145,553,493,488,344,
663,973,008,790,121,036,451,221,162,153,058,702,550,226,311,149,078,315,555,
713,310,694,559,568,067,483,760,791,023,717,695,042,883,935,268,293,185,164,
408,213,119,358,579,433,406,055,280,078,478,785,626,964,508,184,034,615,498,
185,772,868,912,596,497,763,997,474,189,162,980,447,321,917,573,450,926,989,
856,714,828,831,914,631,909,733,053,439,507,534,463,143,787,042,348,083,561,
483,589,393,153,085,839,899,307,648,619,420,324,035,347,403,045,613,240,279,
308,854,313,994,768,964,355,834,733,015,550,767,964,314,492,580,367,242,421,
363,969,622,901,416,360,469,992,092,474,210,794,490,066,272,609,106,716,679,
729,880,526,005,415,693,694,724,069,624,393,721,491,642,207,315,873,116,834,
946,067,277,510,258,439,490,546,779,485,061,878,815,915,317,757,775,882,236,
521,567,292,225,614,561,999,199,326,921,047,669,429,315,900,850,591,303,141,
331,912,023,684,066,405,898,752,098,172,342,015,590,029,339,720,248,367,314,
653,574,660,853,503,666,208,212,813,078,414,944,589,017,282,161,687,138,816,
081,152,605,894,083,194,116,887,747,014,402,512,884,389,000,241,514,348,793,
928,574,501,095,990,450,482,733,485,965,577,127,387,608,502,079,563,399,035,
785,940,967,339,579,899,237,561,590,410,999,653,341,379,254,346,554,170,290,
676,988,584,026,305,802,504,494,164,233,746,732,212,997,757,341,779,448,303,
118,162,974,299,336,968,234,893,319,413,389,003,020,973,922,670,548,685,317,
564,813,463,852,775,256,539,302,208,103,409,516,143,661,530,014,727,938,833,
875,160,824,011,695,667,715,751,070,041,259,621,167,106,471,062,839,532,716,
617,285,955,014,332,025,062,663,583,965,536,262,317,272,223,337,068,752,500,
670,851,583,323,738,763,396,830,216,262,594,045,281,235,463,309,750,906,347,
575,705,819,171,401,613,158,120,131,852,461,925,463,878,603,112,761,933,149,
257,544,155,133,268,945,655,843,019,255,638,978,710,016,034,337,273,734,541,
317,745,639,109,631,430,593,397,216,309,647,465,983,086,432,027,267,938,093,
287,392,783,766,631,103,790,817,616,772,077,420,902,392,846,398,266,307,754,
127,080,667,294,555,197,583,966,147,087,568,317,342,638,138,691,827,332,751,
752,863,094,717,602,499,573,062,354,088,605,128,859,056,722,593,022,784,622,
465,217,682,595,624,758,292,795,750,343,970,674,696,356,433,284,556,692,160,
844,956,155,942,447,448,631,417,815,097,914,999,269,746,936,627,330,478,514,
125,203,403,798,378,702,062,259,099,883,616,490,787,566,182,971,911,691,609,
565,463,536,729,229,998,814,304,534,722,246,083,154,852,644,277,885,785,107,
697,408,053,327,172,841,176,033,461,844,332,825,401,868,369,723,387,040,606,
238,526,687,692,552,710,162,677,180,055,744,117,678,343,268,997,776,675,160,
299,917,130,915,980,015,033,913,175,940,610,073,074,701,616,711,163,238,607,
016,203,238,600,976,118,636,701,437,439,319,728,272,480,358,248,551,353,435,
068,369,687,362,724,057,214,492,220,266,779,350,205,113,694,920,129,847,076,
969,304,784,702,524,063,873,765,373,075,270,105,495,980,068,403,120,269,459,
442,398,442,009,870,140,225,559,809,411,681,215,010,535,209,379,719,618,167,
618,846,694,280,271,511,305,858,359,231,976,913,606,014,918,797,521,751,241,
636,764,662,603,915,720,405,364,457,642,071,169,589,503,904,789,691,612,841,
696,958,313,256,251,789,816,384,157,418,760,878,264,014,123,020,870,247,356,
971,222,201,586,134,486,687,712,275,440,842,557,097,941,341,759,374,083,676,
299,216,883,814,033,394,874,415,647,159,381,967,805,468,817,842,622,312,657,
797,058,432,894,281,030,465,463,033,031,362,075,756,638,845,738,196,228,099,
028,969,112,952,456,718,457,649,959,786,198,260,926,750,350,105,760,233,252,
605,327,613,743,244,938,982,998,872,212,876,770,655,377,782,960,625,605,290,
920,095,860,099,855,154,334,233,968,623,318,299,262,004,702,810,076,272,465,
469,688,973,132,232,916,670,032,332,028,093,284,615,576,004,100,637,622,646,
402,850,759,447,519,192,470,471,788,511,673,546,098,418,060,860,220,316,690,
314,255,858,917,688,168,110,511,648,821,103,597,641,446,507,879,862,542,790,
253,493,050,181,390,444,898,668,340,084,911,305,133,865,236,547,987,815,193,
072,205,007,447,391,080,516,422,563,044,444,964,068,007,188,423,946,874,596,
541,913,808,371,268,523,824,432,165,780,015,756,009,050,395,232,473,501,013,
895,912,584,898,473,195,296,944,718,632,510,160,775,093,354,174,983,942,671,
813,796,542,529,354,047,620,070,762,291,733,740,406,867,410,953,286,098,703,
473,665,550,351,204,352,081,461,474,693,206,099,821,124,863,585,960,230,994,
736,028,139,649,843,138,271,330,330,061,585,889,615,342,672,509,014,879,216,
609,571,405,907,791,169,580,467,322,568,898,142,201,261,755,826,337,403,487,
766,894,823,615,031,276,769,879,311,327,196,899,683,716,572,056,657,073,522,
619,817,364,802,057,316,511,007,305,147,485,656,187,072,080,003,596,536,132,
050,523,061,781,389,223,368,209,178,355,273,996,921,843,168,713,500,976,022,
051,698,422,379,369,844,921,226,061,458,536,724,952,854,957,994,245,104,917,
761,165,845,062,727,023,542,566,821,818,694,665,925,276,894,149,123,399,056,
432,393,571,235,642,041,504,871,780,530,819,147,526,801,473,103,132,547,107,
013,984,822,929,087,256,443,329,917,981,818,515,748,604,061,360,357,520,376,
144,742,849,941,976,636,440,912,578,060,650,489,781,834,277,161,792,490,170,
032,047,522,382,945,793,380,452,947,793,543,973,404,380,633,789,234,720,557,
309,533,556,493,459,330,630,161,070,324,132,102,605,708,511,087,240,898,947,
853,086,804,301,462,934,492,082,786,920,071,607,246,784,671,432,634,189,024,
416,826,699,322,551,495,846,055,788,179,671,403,593,172,372,585,361,248,994,
874,741,472,190,555,289,157,010,877,626,007,205,541,850,480,783,759,733,043,
147,444,930,724,122,168,951,199,336,909,331,823,225,052,836,574,990,988,110,
567,029,247,757,908,649,224,256,994,762,128,034,677,963,008,084,600,888,721,
022,126,316,638,803,891,023,267,531,700,712,272,350,910,089,277,850,222,067,
706,993,710,648,442,044,546,303,783,748,314,246,431,157,247,846,127,913,063,
220,387,173,407,957,802,925,018,365,309,872,522,066,486,805,831,116,193,522,
069,460,570,774,415,598,759,746,056,925,428,552,553,750,474,162,054,698,119,
213,216,053,798,717,588,761,730,587,040,483,760,668,060,955,769,523,573,156,
076,503,081,940,805,798,345,138,341,250,318,972,315,867,078,018,773,349,333,
881,105,264,496,858,179,826,169,423,947,009,567,746,494,104,693,112,331,078,
444,893,019,257,251,624,220,079,967,187,747,891,668,056,433,651,557,008,361,
135,540,177,190,889,764,409,737,395,545,772,180,378,113,252,937,329,618,653,
267,834,947,119,586,070,241,668,645,055,705,661,898,858,791,009,804,625,972,
709,339,682,709,337,056,452,493,600,391,632,226,068,418,477,172,384,303,608,
880,250,384,884,389,399,009,251,761,506,401,629,836,504,033,017,584,936,293,
640,594,838,119,755,396,856,389,429,688,949,910,794,458,954,523,216,737,975,
210,116,480,724,295,204,119,063,728,719,798,402,204,777,103,103,823,826,826,
314,070,457,584,065,428,042,256,609,379,727,932,452,697,171,500,718,378,149,
145,509,346,829,262,253,007,783,830,066,247,448,012,104,532,830,661,764,339,
118,118,633,071,257,925,140,448,537,558,703,252,444,889,873,345,161,959,964,
542,796,478,242,866,262,414,861,273,630,319,428,371,419,519,326,804,198,893,
487,125,993,887,878,143,672,733,081,905,922,109,627,499,095,489,358,078,698,
403,625,288,130,838,338,931,445,968,110,214,662,627,796,372,349,701,600,395,
480,485,204,586,976,500,879,182,919,783,816,703,311,211,306,675,878,495,495,
145,960,417,484,796,821,068,852,064,163,936,936,015,936,845,773,898,463,343,
747,829,568,909,717,012,984,452,178,331,912,782,726,285,222,590,823,541,788,
264,128,656,764,742,839,341,760,042,016,230,378,593,861,399,822,962,477,011,
107,153,067,799,785,637,275,366,574,817,758,122,288,421,930,299,879,327,230,
240,323,736,595,552,563,497,688,954,403,788,785,109,310,518,748,672,186,536,
735,284,600,677,189,073,559,970,689,866,758,129,300,112,941,182,674,413,822,
399,070,249,573,126,527,463,401,137,057,823,312,002,041,278,166,076,394,090,
276,766,455,719,921,282,729,872,394,768,900,920,308,029,233,345,593,329,243,
480,080,936,694,777,628,509,781,245,823,155,500,965,362,449,377,912,810,654,
336,431,488,146,632,322,183,697,750,432,361,078,334,151,117,276,719,543,258,
345,500,797,194,381,251,009,290,894,675,800,924,988,282,120,888,178,637,460,
877,051,450,893,470,578,015,581,412,842,535,797,229,511,193,411,047,260,463,
962,115,026,319,483,022,941,801,463,161,617,156,453,956,391,455,943,623,717,
064,271,397,198,601,234,231,142,234,198,095,418,667,131,081,621,875,862,916,
685,544,943,764,640,599,058,592,091,717,458,725,531,291,588,197,783,631,247,
835,641,563,152,519,934,430,714,239,848,101,918,229,367,801,595,953,162,366,
507,860,271,923,143,182,556,387,695,409,645,278,316,516,312,101,785,581,482,
789,557,291,615,061,269,136,550,553,205,144,438,603,422,917,636,879,055,599,
082,236,487,763,154,835,114,903,307,027,871,205,875,663,017,771,536,779,488,
102,736,559,019,299,429,880,661,630,220,251,879,671,435,382,717,701,581,620,
697,301,144,987,374,887,952,362,390,762,425,439,830,519,820,068,739,399,238,
574,069,513,318,011,158,015,387,142,263,188,098,894,271,636,258,736,355,964,
337,898,186,602,994,797,506,609,720,796,444,840,785,976,229,513,542,687,409,
114,431,949,170,660,081,546,188,843,356,713,746,220,091,566,180,083,119,647,
735,786,694,811,904,891,107,979,281,279,558,298,023,023,866,868,093,888,162,
292,913,620,125,314,915,946,805,593,850,766,119,103,327,364,574,910,673,791,
658,576,751,370,176,045,889,321,149,172,583,359,135,877,999,557,921,791,941,
679,137,491,810,255,772,744,137,281,329,148,825,572,309,541,086,852,926,800,
822,040,684,380,991,249,815,286,304,922,172,426,355,765,699,428,789,856,191,
809,555,722,400,324,119,242,313,814,162,406,300,209,509,784,198,909,559,701,
878,041,458,307,309,897,160,276,511,869,276,847,480,954,537,886,035,806,786,
966,799,488,297,530,688,084,084,869,146,011,767,414,595,394,046,687,778,162,
100,485,556,491,768,987,664,452,006,552,396,897,945,118,832,500,799,814,347,
066,944,386,486,475,659,273,711,396,136,065,875,550,404,835,358,155,068,741,
802,023,505,682,639,687,714,975,124,428,185,993,679,247,681,679,687,963,898,
279,389,928,078,319,162,704,267,508,499,465,081,095,441,195,776,692,945,887,
702,178,886,182,970,273,346,890,304,769,749,227,852,858,612,339,046,792,502,
356,974,435,545,262,415,148,053,508,444,693,345,338,217,709,235,567,121,231,
429,389,768,029,448,859,391,552,536,145,555,905,257,065,981,620,246,233,063,
246,316,325,232,887,272,575,840,196,212,459,174,260,360,787,939,110,878,207,
845,561,748,155,433,829,391,788,396,184,750,304,512,675,630,537,667,147,542,
451,807,857,518,976,232,376,117,146,733,468,674,370,459,378,272,721,886,267,
204,698,817,133,712,411,021,449,839,827,110,935,499,299,075,877,068,618,520,
700,086,589,622,511,341,939,846,253,371,006,103,374,197,257,301,895,640,458,
348,058,502,717,623,800,164,673,871,249,970,513,397,811,986,353,215,305,379,
916,615,418,592,071,012,308,152,870,627,739,541,241,841,829,303,175,489,174,
271,014,054,761,802,158,785,136,390,589,090,729,992,324,743,828,679,064,567,
983,684,867,121,391,019,326,826,273,486,613,092,708,634,458,719,864,612,491,
520,164,437,866,075,680,746,433,214,222,838,288,083,725,832,704,096,390,979,
399,173,176,029,781,115,360,397,158,854,875,705,604,541,059,364,027,813,472,
759,541,247,917,831,338,245,757,133,903,024,663,731,487,562,847,920,371,559,
646,590,886,155,067,593,219,691,675,513,692,610,541,077,528,501,037,059,090,
166,133,307,592,542,959,156,037,268,432,030,768,321,957,605,465,933,493,407,
767,786,983,322,012,338,458,909,585,196,227,870,386,803,099,507,525,220,363,
813,336,389,803,717,524,661,004,461,937,225,382,417,111,751,628,064,710,022,
703,027,270,730,917,638,233,500,817,701,012,727,778,414,498,457,880,320,065,
380,759,128,072,653,054,985,379,690,600,032,706,415,653,678,152,225,230,729,
012,693,940,248,753,953,805,479,692,348,053,357,077,467,260,690,586,100,558,
423,815,707,964,778,863,925,124,910,004,241,871,797,843,512,460,542,345,966,
250,258,092,446,793,257,064,325,166,773,450,785,716,659,453,256,403,616,740,
951,876,865,554,281,599,373,393,202,285,178,043,804,841,782,102,738,931,789,
861,644,165,459,216,656,363,426,116,830,772,849,412,905,557,535,153,542,062,
213,486,216,375,317,389,881,394,999,635,401,829,400,900,640,488,600,370,457,
790,394,195,212,252,680,681,322,136,895,911,834,176,541,203,107,191,075,270,
743,727,041,355,311,626,023,726,709,606,298,044,402,928,855,851,564,546,209,
799,688,513,183,970,997,106,537,012,638,814,205,474,463,537,342,622,539,421,
912,551,981,222,728,193,061,529,854,818,152,210,509,081,817,081,995,773,518,
645,649,898,827,654,884,680,974,792,311,396,489,001,351,348,167,162,309,105,
622,765,360,410,960,716,412,350,270,544,727,225,582,411,844,819,215,779,534,
928,080,942,209,300,293,346,976,183,476,128,416,538,622,051,290,023,239,222,
440,045,052,569,268,030,493,319,786,968,088,850,388,861,443,572,805,999,639,
297,210,184,849,723,808,626,572,528,601,828,088,423,182,510,282,510,850,843,
396,808,129,751,017,436,640,344,663,931,945,990,183,778,389,747,367,280,715,
079,858,082,299,649,762,028,827,409,605,494,186,769,511,968,023,992,082,110,
337,683,300,712,755,030,314,056,015,819,016,625,047,934,813,554,814,266,064,
052,662,442,994,447,296,892,789,147,867,156,898,495,050,638,545,943,158,457,
899,661,954,531,111,908,899,077,970,696,379,008,569,038,343,092,609,772,312,
134,337,957,843,167,854,581,834,468,899,438,532,292,591,283,435,663,738,911,
287,559,869,138,737,647,087,149,283,249,336,084,211,821,810,858,078,237,572,
756,365,657,594,813,648,367,624,667,637,227,976,093,261,715,055,965,378,679,
360,206,731,117,863,195,450,054,494,634,053,816,360,452,808,073,286,251,261,
104,348,084,946,854,590,664,463,578,537,574,452,757,089,436,909,078,985,410,
861,777,954,360,510,859,923,703,757,566,370,592,124,949,468,184,846,455,619,
698,668,297,282,383,956,996,148,145,186,798,707,360,842,544,450,496,887,445,
621,843,574,070,658,456,336,107,023,998,997,983,950,920,105,639,895,289,397,
811,551,144,396,381,912,922,968,800,471,029,012,576,568,621,361,638,972,355,
065,366,813,827,901,685,536,254,152,557,418,946,474,010,661,341,302,647,760,
198,553,225,028,328,976,178,236,927,614,304,338,438,759,854,732,194,683,783,
154,427,163,600,776,393,150,065,956,975,401,551,253,065,790,130,541,454,017,
926,102,763,149,087,823,065,188,701,684,225,046,403,038,542,780,046,621,252,
583,290,671,194,382,680,321,049,268,435,680,961,829,674,284,922,225,151,602,
437,057,672,851,202,703,727,600,047,193,299,450,950,301,772,529,132,798,860,
958,183,710,317,307,190,610,356,713,958,562,651,667,655,946,638,954,518,247,
893,050,047,051,323,849,597,448,834,427,071,022,452,360,576,052,564,080,158,
140,345,314,577,782,330,163,820,612,745,115,178,199,093,220,940,163,435,637,
196,338,002,969,414,321,116,603,910,415,153,097,947,372,678,272,425,488,433,
345,392,087,278,040,545,384,075,944,265,172,928,772,460,262,276,646,807,498,
470,457,634,216,654,772,946,537,299,507,540,395,538,927,222,369,274,430,617,
066,282,560,922,855,659,336,341,533,076,519,790,697,393,001,519,269,131,812,
159,979,777,060,961,170,818,457,885,400,443,931,058,588,879,202,109,783,772,
760,611,196,061,148,989,876,435,013,698,221,383,654,269,095,625,658,155,646,
042,560,083,411,187,798,054,739,593,577,222,495,986,961,822,399,723,983,933,
379,978,969,901,999,369,480,242,326,133,688,973,094,447,450,257,469,223,589,
399,217,899,719,145,531,302,055,019,541,680,325,613,203,552,487,835,223,002,
583,717,943,949,306,202,680,724,596,711,610,424,656,821,953,439,780,288,957,
951,198,298,932,900,505,644,345,843,186,383,682,969,224,234,503,424,358,583,
421,195,052,103,788,156,253,089,461,859,951,729,841,140,834,110,002,115,868,
723,335,192,838,389,830,992,360,678,816,865,993,236,612,479,383,316,877,070,
904,536,502,503,194,060,557,287,462,953,525,201,241,448,179,101,540,714,420,
917,317,746,301,815,901,559,961,740,860,779,139,504,978,422,207,409,230,708,
954,510,289,844,766,504,618,066,636,017,394,343,253,361,782,592,800,887,834,
093,244,051,133,099,193,363,889,347,605,696,787,045,280,310,575,166,956,647,
921,441,276,509,240,659,038,913,543,644,515,939,453,984,922,218,880,660,358,
899,696,688,511,217,753,400,204,692,838,800,762,966,665,249,516,389,307,784,
636,545,178,944,079,849,410,276,564,309,994,542,539,687,757,575,833,625,756,
755,638,027,440,319,285,327,083,291,374,889,206,217,445,353,819,689,646,784,
315,320,001,030,958,063,452,052,195,331,268,823,205,399,388,457,692,381,977,
838,703,781,399,395,808,459,316,003,711,924,165,801,747,415,563,608,444,223,
689,864,403,500,021,825,081,717,760,484,448,261,212,810,530,211,464,033,276,
023,626,773,363,224,022,684,555,945,677,436,728,877,615,111,477,877,137,649,
552,173,609,182,181,650,759,168,163,397,612,654,095,254,171,517,155,035,163,
124,692,775,375,233,487,650,624,107,058,529,451,994,822,371,369,749,283,495,
332,432,965,535,103,230,511,308,403,172,163,365,642,298,195,087,094,596,171,
027,822,305,658,722,074,026,817,371,283,427,511,505,072,261,604,441,333,279,
120,095,361,838,507,699,921,356,751,899,970,268,358,607,023,890,967,476,274,
182,608,707,778,067,830,182,466,685,276,215,720,426,251,714,769,821,179,480,
982,725,210,809,165,549,312,097,707,003,576,145,343,680,696,999,580,159,739,
160,050,458,043,836,692,598,936,824,119,787,798,885,789,633,429,627,397,450,
555,122,435,522,120,729,538,995,974,699,348,864,202,442,227,846,389,068,600,
657,197,491,646,960,733,781,687,697,578,810,821,836,503,992,368,903,074,401,
341,208,539,225,568,300,251,962,124,000,546,300,988,406,921,777,625,946,886,
435,865,335,224,153,180,842,857,339,765,146,666,822,691,758,987,943,977,948,
885,107,418,207,278,888,930,368,867,791,971,753,245,922,725,756,076,881,636,
126,612,806,023,874,703,414,543,762,372,531,432,293,770,920,942,055,650,443,
106,019,852,892,403,461,022,205,300,468,380,252,983,912,370,759,644,110,453,
804,377,892,341,085,843,488,983,575,466,612,369,102,278,987,209,683,069,549,
151,760,113,310,200,921,707,606,961,087,506,864,048,777,979,820,647,333,649,
182,116,976,110,327,868,844,776,786,921,721,646,150,067,429,430,629,074,844,
470,989,046,796,942,324,110,636,825,516,725,397,905,327,220,958,230,042,568,
582,823,974,454,504,317,955,618,426,067,029,651,847,625,637,154,598,967,152,
958,498,007,636,543,896,355,740,834,361,673,147,873,718,009,149,797,152,367,
299,667,903,224,880,884,740,834,782,422,280,286,576,121,897,458,584,632,194,
701,437,214,890,179,218,787,084,919,989,143,429,664,090,870,071,675,590,767,
487,978,531,954,456,586,209,912,593,470,475,554,133,463,261,754,519,976,313,
684,778,588,591,808,811,489,979,502,275,818,378,643,347,560,336,261,521,040,
559,441,374,473,254,334,768,024,030,504,399,684,391,946,689,853,796,512,002,
257,423,915,904,883,624,105,100,459,869,998,996,991,962,293,382,662,733,681,
011,976,523,608,445,846,308,304,956,507,809,237,621,946,472,100,402,695,125,
389,196,681,269,392,532,740,109,023,896,938,997,200,899,214,957,638,511,877,
485,003,901,339,694,570,125,081,148,854,461,139,081,602,553,016,920,647,268,
205,429,042,610,256,419,922,420,390,420,595,966,308,074,631,491,602,997,815,
268,583,539,437,516,803,671,167,371,216,259,005,922,416,405,910,997,939,896,
705,087,622,084,826,147,059,080,823,097,016,090,598,435,802,535,769,708,057,
118,616,060,521,753,516,516,587,177,854,737,143,906,994,493,779,903,410,697,
083,492,758,308,909,044,805,774,134,889,048,950,730,681,356,643,391,535,055,
367,612,565,284,808,328,138,490,249,077,421,534,980,200,088,977,361,256,733,
397,548,167,967,799,371,514,059,401,563,339,817,670,409,119,546,956,255,603,
643,812,825,474,793,219,417,338,982,935,721,876,854,477,413,995,840,627,295,
066,373,338,162,615,455,763,537,547,678,940,031,244,892,316,261,935,132,304,
320,167,066,840,954,720,683,176,095,611,078,900,341,646,299,103,071,809,495,
434,941,322,850,036,083,412,978,265,313,159,008,388,658,630,926,050,714,595,
872,496,080,377,030,750,001,137,273,377,251,982,695,365,025,923,095,803,637,
805,254,662,242,345,421,414,132,698,926,954,783,323,887,300,335,347,841,871,
322,422,025,749,232,264,784,125,044,966,024,394,004,856,003,261,660,720,607,
649,205,494,115,208,709,823,080,005,088,387,111,182,356,546,800,114,002,366,
509,794,056,494,888,294,250,874,659,009,514,039,063,193,551,587,341,430,261,
248,082,517,952,787,319,274,368,368,019,456,434,231,186,552,232,337,769,989,
072,679,270,317,202,684,822,781,531,775,135,236,216,292,324,159,895,840,169,
840,253,441,860,294,524,018,959,283,944,683,901,494,226,338,774,715,499,798,
221,273,614,730,626,216,913,828,171,819,224,502,868,183,576,675,783,890,874,
717,779,050,521,100,333,390,408,010,457,678,009,740,245,388,103,971,560,847,
424,648,757,065,260,437,683,898,679,907,826,635,906,180,674,564,531,493,728,
072,734,816,760,821,830,517,260,694,476,897,209,731,102,359,994,393,636,364,
728,485,369,907,195,833,153,356,059,390,030,805,970,149,671,810,228,260,829,
615,408,148,279,766,057,969,697,271,115,501,641,022,347,114,815,547,099,474,
977,809,311,785,277,143,049,468,221,590,050,548,373,035,866,433,496,545,492,
664,893,461,795,208,431,692,061,016,256,732,748,162,713,057,015,010,608,841,
375,935,733,980,266,296,062,880,086,565,218,818,086,524,123,387,832,085,892,
431,481,221,721,594,641,163,067,802,279,960,686,779,533,397,429,823,131,641,
458,572,227,373,781,731,144,945,007,489,057,120,216,119,508,504,311,458,213,
852,338,595,650,632,774,320,468,282,176,847,730,833,460,281,123,868,808,076,
164,399,958,192,806,941,235,745,145,971,957,265,845,785,271,136,760,255,816,
451,032,477,123,645,689,928,549,572,531,033,442,094,090,876,866,110,766,165,
843,596,322,653,119,132,293,468,392,003,780,569,973,127,908,101,870,218,460,
184,932,271,327,298,137,231,433,513,223,550,078,482,815,643,406,940,045,891,
901,035,468,249,482,291,714,868,499,507,830,890,706,545,208,009,985,299,477,
423,114,108,044,729,653,205,888,730,352,865,888,848,490,679,107,748,326,274,
687,642,770,058,417,946,314,652,681,826,388,036,122,908,319,089,488,837,400,
162,191,113,797,899,662,284,112,522,537,669,941,654,715,602,045,773,401,367,
381,507,796,818,171,909,360,525,327,481,378,361,143,776,298,047,330,853,225,
306,305,199,586,435,728,840,417,321,687,115,503,937,541,790,988,188,347,643,
213,357,194,318,153,618,951,920,901,974,628,610,057,254,758,761,619,337,450,
286,405,781,835,336,715,202,836,499,356,901,623,407,350,726,284,327,239,897,
244,015,364,055,822,094,762,100,513,878,995,887,461,716,342,363,910,830,089,
056,678,859,896,945,512,256,843,090,818,019,991,670,982,514,314,929,202,195,
885,834,965,383,249,982,986,849,921,914,111,574,512,574,161,559,325,950,400,
445,820,098,856,999,701,251,065,432,451,317,360,496,025,001,647,244,804,491,
748,794,515,051,429,424,408,870,791,757,963,128,537,872,060,240,762,922,768,
023,482,977,742,205,156,062,601,146,594,007,481,942,954,049,678,889,633,848,
975,377,163,024,513,203,893,513,170,784,157,723,485,095,014,973,733,393,763,
564,095,539,441,931,107,545,738,984,726,276,931,230,647,519,344,270,185,765,
534,353,652,817,387,733,196,292,358,735,905,591,348,080,243,523,602,578,962,
079,463,363,513,817,979,767,179,661,958,624,442,361,968,020,589,982,820,717,
029,056,673,312,475,499,106,076,713,653,785,917,181,071,189,161,367,746,620,
154,126,165,834,394,594,988,116,535,024,595,526,684,485,520,627,547,307,908,
554,046,111,196,325,440,178,067,334,733,022,835,886,208,079,395,139,250,931,
664,310,263,014,823,051,185,974,434,434,589,865,560,346,571,484,458,338,874,
579,252,277,854,481,307,264,697,328,906,603,543,645,162,498,566,690,772,065,
741,542,347,437,821,951,652,338,085,335,808,850,697,214,271,537,710,186,543,
567,642,384,175,868,273,902,269,352,729,800,824,213,669,985,489,782,183,375,
044,368,019,135,166,855,266,624,313,715,709,558,127,172,075,972,578,731,908,
880,482,694,264,041,687,257,282,083,951,803,672,080,089,204,282,616,438,242,
629,705,324,474,932,692,254,187,720,244,346,971,012,970,472,134,557,327,122,
397,370,904,798,812,737,234,235,615,398,581,286,927,748,339,869,979,776,076,
592,959,917,148,493,602,832,806,128,337,579,799,992,695,068,443,285,352,420,
756,972,568,148,278,902,169,399,784,203,485,383,236,373,477,777,763,017,368,
219,942,692,582,291,671,951,298,974,355,991,419,248,952,934,011,535,074,550,
089,176,361,153,526,030,650,529,862,970,726,574,565,511,644,414,212,457,817,
157,529,500,609,742,856,471,183,254,674,357,608,858,747,883,471,577,540,158,
559,131,488,147,332,630,560,769,583,401,028,268,289,959,890,775,899,649,537,
834,734,145,120,678,750,834,885,924,877,110,388,157,803,309,664,298,909,404,
382,042,071,264,290,192,153,359,344,491,759,151,508,373,273,738,113,230,165,
143,598,352,634,101,361,049,654,470,122,487,129,610,425,239,648,464,941,957,
446,189,683,883,981,770,536,251,901,465,729,950,788,581,041,201,211,494,229,
465,054,920,551,040,865,432,378,650,300,554,361,269,900,148,127,543,368,155,
688,765,734,032,090,868,233,355,061,441,491,227,794,155,739,459,747,054,656,
166,619,108,881,737,772,663,146,162,211,451,218,442,663,811,528,200,503,023,
408,928,355,524,762,479,874,640,450,161,156,730,741,666,689,459,036,221,328,
840,751,847,069,681,941,286,438,041,233,815,667,493,497,820,515,150,249,726,
184,648,714,302,233,099,588,596,503,018,857,117,668,835,027,856,293,644,230,
352,913,612,967,110,065,577,959,168,139,104,779,329,962,110,367,016,197,932,
713,036,881,888,126,509,013,807,201,288,207,535,720,872,800,194,043,429,644,
988,574,765,930,895,514,769,081,885,401,910,984,480,077,510,203,097,854,399,
991,038,027,619,592,359,635,762,231,427,581,015,908,491,255,803,715,726,976,
532,827,648,775,991,310,157,209,597,108,843,382,063,451,494,782,456,250,349,
489,950,373,683,581,024,436,843,801,031,550,149,937,795,940,487,504,408,681,
633,615,561,166,737,723,140,108,639,464,750,046,860,764,268,073,528,745,130,
953,608,270,526,888,279,924,137,887,232,597,833,394,956,613,276,188,140,948,
481,597,663,451,904,429,288,447,108,418,236,744,829,311,375,127,521,301,298,
718,900,124,013,278,156,976,788,151,987,537,850,969,573,816,861,452,286,046,
587,428,754,203,056,354,772,417,269,443,200,099,155,224,125,451,523,394,946,
063,825,671,233,791,806,045,203,392,555,380,440,100,856,350,151,262,979,920,
912,341,181,149,360,314,328,605,639,264,180,851,627,539,185,720,424,442,324,
419,757,560,917,753,903,718,869,190,903,448,037,395,339,241,876,182,289,351,
514,091,832,858,880,852,044,368,121,212,015,180,003,116,848,208,056,235,407,
866,854,809,549,198,627,760,068,318,485,853,126,117,223,169,576,993,726,764,
022,791,350,845,073,330,122,065,953,644,518,889,572,664,646,924,971,405,294,
771,907,156,469,755,290,107,218,946,268,409,588,110,050,490,660,451,176,983,
702,653,699,050,427,843,332,238,259,984,054,423,481,699,086,702,422,261,851,
378,031,713,529,235,762,042,031,645,613,281,556,335,199,745,241,476,186,953,
057,142,605,859,235,901,493,036,117,812,276,939,471,722,130,741,634,558,713,
239,991,812,072,555,694,028,110,060,121,315,910,634,141,616,753,430,006,650,
576,292,391,196,141,503,359,073,460,101,563,863,513,471,752,120,777,175,274,
945,406,624,075,697,050,151,949,385,229,848,220,826,926,734,026,726,492,083,
425,911,658,841,793,841,536,503,484,427,609,783,765,767,402,613,002,213,989,
946,779,052,004,717,091,875,669,381,022,582,682,419,411,268,891,792,604,738,
466,695,062,998,999,613,395,658,117,448,946,603,848,085,302,347,524,487,669,
489,619,771,959,487,079,827,507,160,406,241,493,061,642,232,002,293,390,094,
390,609,786,344,830,639,437,887,621,934,858,371,897,712,929,323,268,756,676,
946,265,115,465,489,824,004,281,886,237,776,567,075,034,972,875,033,244,642,
009,503,576,447,109,524,569,052,828,749,869,557,613,653,738,540,393,290,829,
725,321,887,954,295,823,654,225,237,153,927,634,029,557,290,022,246,234,569,
070,132,390,879,094,893,263,359,179,728,051,483,427,495,464,761,069,447,689,
540,308,489,322,146,111,052,406,629,522,439,501,627,886,031,535,110,028,172,
978,252,194,029,271,660,737,255,697,480,224,725,887,600,443,130,366,141,916,
042,852,218,358,595,601,855,825,900,360,943,831,060,113,932,235,988,593,877,
589,477,306,503,113,873,700,110,430,476,824,698,034,556,529,130,673,551,040,
492,631,232,248,478,401,876,528,415,644,332,309,196,997,551,931,752,334,538,
666,954,593,446,263,468,565,306,051,198,009,886,372,190,231,605,652,708,673,
484,168,379,809,689,379,165,521,295,238,741,166,791,271,174,992,385,887,153,
118,605,244,787,938,070,388,923,678,689,725,058,565,594,456,681,738,987,384,
203,412,731,584,273,149,127,156,033,458,175,818,933,649,311,797,963,130,880,
569,546,325,404,562,289,768,811,949,503,073,729,910,384,978,314,496,048,207,
235,585,264,817,657,180,130,680,022,784,228,639,932,091,606,499,859,298,096,
582,081,413,401,100,022,336,246,100,487,396,524,428,283,969,018,412,440,731,
352,520,942,484,249,911,871,775,428,898,401,274,265,604,821,832,583,652,142,
164,445,127,498,189,774,055,382,556,148,356,432,833,441,059,652,284,085,857,
094,055,999,070,340,038,050,117,075,372,419,735,110,190,140,012,862,448,247,
080,843,211,826,745,790,014,802,790,074,058,090,481,005,300,063,299,667,133,
728,036,510,069,752,430,406,322,684,943,693,009,119,127,660,840,033,684,014,
700,931,496,564,283,678,271,210,003,000,944,799,751,334,403,680,004,088,783,
904,879,100,071,706,855,128,752,293,012,792,641,858,103,650,081,379,529,604,
056,790,680,058,278,249,711,534,251,040,382,118,027,337,877,829,825,877,187,
816,114,249,306,027,316,390,629,828,096,209,379,618,055,005,783,209,382,485,
470,544,373,211,963,709,404,330,248,290,965,516,699,699,092,138,239,754,190,
767,703,833,475,617,019,792,948,670,094,524,221,086,286,314,053,802,998,200,
822,099,671,448,393,299,898,255,671,403,190,299,049,904,798,545,009,763,665,
057,069,721,335,140,700,433,527,832,229,807,801,615,334,946,552,986,235,541,
159,446,772,538,839,993,623,451,950,428,016,137,071,429,425,382,739,838,950,
646,402,052,956,954,640,715,752,922,119,869,813,741,079,986,438,525,440,468,
261,553,403,816,409,986,147,237,690,167,196,014,918,495,319,806,787,198,703,
491,441,356,176,356,976,789,534,845,595,163,878,040,041,812,211,595,520,537,
032,112,320,918,801,047,320,428,981,538,307,650,643,643,692,865,867,575,859,
281,471,674,505,240,404,279,227,587,809,463,407,376,688,914,105,400,169,916,
374,272,909,419,560,354,429,262,975,457,785,865,232,914,863,383,766,600,892,
139,627,635,500,213,490,803,191,946,179,526,783,986,390,539,074,347,583,579,
535,716,355,978,129,154,374,306,480,670,911,360,515,068,171,739,920,515,132,
636,192,234,219,927,028,458,406,253,395,820,356,092,866,628,833,263,599,627,
322,735,751,045,122,335,682,607,176,712,496,299,204,045,286,475,378,840,157,
200,593,995,322,057,290,293,816,390,349,211,215,850,047,183,001,297,108,747,
389,033,041,500,333,199,095,709,417,682,324,424,593,985,639,669,312,156,531,
217,132,000,018,191,203,304,160,810,333,536,732,103,184,403,714,695,605,668,
273,648,706,917,445,494,889,669,749,193,975,342,371,489,020,108,530,055,288,
431,107,792,967,812,726,666,062,006,933,913,982,776,987,516,898,629,336,128,
440,406,515,514,348,979,258,117,273,097,734,672,028,914,849,279,402,677,951,
076,358,370,887,107,443,295,320,754,426,750,861,092,464,750,852,919,709,893,
312,177,114,559,413,915,145,440,733,893,778,394,764,006,886,382,667,224,373,
362,541,786,268,143,097,387,777,135,430,377,841,361,223,982,357,037,014,153,
249,503,681,694,251,071,535,079,055,708,994,419,579,845,847,872,612,844,846,
312,672,468,390,182,622,598,653,650,530,071,650,824,876,623,983,826,278,920,
071,946,222,024,791,990,532,755,776,042,655,792,799,580,489,116,382,248,331,
023,011,969,929,469,447,004,429,976,218,147,512,829,210,210,022,944,890,333,
791,820,179,182,815,169,772,597,262,251,823,386,554,509,224,272,117,880,418,
397,326,090,203,296,046,862,875,003,177,268,652,331,748,562,078,279,978,767,
242,178,690,977,864,754,784,571,254,780,977,575,949,409,947,325,489,140,105,
649,705,888,093,279,636,845,314,177,735,603,686,728,934,258,000,501,899,354,
026,755,369,517,026,322,803,584,382,496,504,710,648,361,112,906,778,296,134,
078,128,029,524,830,161,439,658,478,462,422,454,716,462,065,284,028,424,442,
255,695,576,053,905,618,370,005,172,470,217,877,893,938,349,380,749,302,354,
658,440,553,634,767,509,864,786,036,964,382,046,844,928,456,571,790,411,688,
310,506,889,137,069,211,388,790,445,442,867,873,638,393,611,474,102,480,106,
823,603,765,309,418,589,408,066,962,584,331,738,263,893,864,664,391,018,722,
951,834,784,615,124,286,835,992,129,590,130,244,917,151,174,845,656,684,169,
623,860,593,572,831,620,939,864,571,482,295,215,962,184,575,107,930,839,931,
622,828,057,958,863,812,061,772,591,419,280,054,281,312,002,524,584,639,462,
210,232,800,359,825,699,226,128,007,330,942,938,968,266,770,758,820,515,700,
744,440,674,137,811,210,211,373,028,851,465,969,912,360,956,203,074,632,507,
424,401,066,286,985,449,994,285,380,951,912,640,612,308,669,268,923,471,595,
114,747,920,615,483,154,395,901,873,426,076,125,223,125,603,326,275,201,091,
768,519,921,253,104,144,533,761,674,092,620,716,108,631,167,623,054,566,870,
628,841,362,395,071,445,260,124,778,111,962,471,726,165,885,749,964,312,834,
126,780,806,188,001,094,001,174,793,493,555,659,122,676,374,143,305,556,276,
591,825,538,825,081,474,875,379,409,866,606,470,987,565,879,670,542,061,842,
302,113,552,922,449,805,315,713,114,185,035,938,390,770,488,314,544,527,220,
099,209,684,461,881,047,267,326,079,664,206,100,503,301,508,103,301,971,910,
452,761,231,191,103,797,510,450,175,060,467,876,542,043,754,444,825,700,976,
541,969,553,803,054,824,146,391,222,152,192,102,647,972,837,021,208,378,009,
203,701,393,566,857,776,068,248,993,737,810,281,938,687,362,513,061,316,591,
597,575,013,164,290,788,606,605,077,372,390,889,841,650,283,621,097,623,369,
860,132,049,185,303,458,289,769,804,705,789,789,851,240,586,209,173,946,938,
194,778,718,770,500,949,866,989,221,230,673,620,356,652,256,171,661,304,122,
936,849,968,338,175,510,208,982,731,567,590,826,920,776,085,468,347,964,562,
419,088,330,612,072,305,878,326,746,986,055,249,898,987,655,166,814,893,218,
047,000,594,613,269,158,082,483,591,176,687,047,338,894,737,695,267,375,774,
971,746,699,835,349,331,267,555,006,406,293,034,577,789,886,937,707,177,949,
797,069,519,918,934,556,198,829,720,745,659,325,924,197,345,975,268,640,790,
716,761,624,020,878,691,755,787,196,057,282,724,270,096,702,623,149,372,030,
809,518,810,423,293,172,275,130,548,729,152,155,113,650,247,195,215,436,287,
040,836,719,620,991,767,670,094,940,524,684,999,023,021,116,138,608,713,199,
628,154,376,893,470,788,530,786,863,565,701,512,269,569,382,668,209,398,271,
258,660,406,897,383,843,721,953,885,671,585,081,340,908,664,098,023,617,506,
104,990,038,813,135,458,311,014,165,616,067,474,530,467,027,171,126,467,812,
782,332,454,261,557,553,137,507,400,106,037,361,592,558,083,831,376,589,847,
326,437,684,487,011,936,577,869,675,341,529,305,640,218,198,720,110,544,166,
334,256,041,941,971,540,340,090,069,710,542,780,762,859,590,810,862,007,650,
903,012,678,186,026,342,054,319,974,039,005,159,784,529,849,838,257,308,483,
843,281,642,163,015,076,501,877,348,670,979,779,305,404,014,665,177,819,268,
343,760,201,875,264,579,190,583,000,579,121,949,266,645,910,543,624,367,593,
269,846,495,065,766,674,072,704,335,252,164,738,720,607,268,549,094,071,962,
875,241,212,220,197,981,737,106,527,610,467,447,307,630,287,162,657,334,189,
727,512,606,326,830,713,917,786,831,400,890,309,979,085,039,884,041,737,985,
548,415,138,856,345,436,743,582,043,612,032,210,222,260,582,469,859,852,418,
436,228,040,304,737,410,744,949,988,249,125,753,025,780,180,407,483,420,478,
408,952,257,187,916,481,034,722,801,644,639,905,463,670,813,024,467,789,915,
007,294,609,323,636,862,032,984,121,993,138,813,800,091,126,805,470,613,533,
723,570,239,479,696,745,752,736,532,534,370,627,361,338,276,364,653,254,922,
506,817,312,279,821,894,147,157,705,366,396,848,006,052,503,766,433,809,589,
842,785,123,295,099,052,005,148,384,626,324,900,730,392,929,329,607,763,951,
849,799,117,328,556,161,750,993,196,627,200,643,843,039,659,105,007,187,477,
500,373,433,710,299,312,176,397,949,326,950,184,445,879,265,354,294,712,006,
498,041,324,938,894,561,951,525,867,458,143,721,430,745,975,670,329,190,360,
918,695,046,577,823,474,346,030,636,784,881,322,059,109,924,279,403,518,046,
832,899,736,279,347,535,811,105,087,869,467,150,382,584,301,782,499,809,402,
768,604,572,598,299,759,479,547,444,452,244,898,834,049,037,009,553,520,379,
490,945,447,978,444,441,207,962,938,756,098,805,119,677,293,324,847,861,237,
415,843,562,624,618,146,739,899,193,612,655,150,868,524,600,850,614,589,151,
464,930,419,310,771,052,514,087,674,249,768,655,829,177,508,099,655,570,831,
597,820,381,768,380,092,598,189,529,289,265,604,918,641,147,171,458,529,817,
618,152,471,370,437,058,377,084,520,665,347,647,537,304,651,642,461,975,705,
049,685,198,390,303,217,438,074,055,582,069,411,991,161,303,327,529,048,336,
842,050,242,975,989,303,466,777,040,841,242,108,213,879,126,596,596,011,813,
430,859,635,378,872,666,003,653,810,972,474,336,507,395,366,240,500,134,680,
861,647,427,031,139,892,655,057,566,574,217,958,331,235,338,957,405,189,936,
898,838,886,487,351,735,111,222,748,076,763,983,944,362,710,703,791,612,408,
346,966,330,667,544,763,620,310,496,454,040,346,114,610,253,198,517,559,714,
510,256,507,600,040,328,792,513,396,197,315,868,511,447,935,405,317,698,464,
810,647,881,216,044,053,840,256,689,610,906,631,274,565,357,452,192,067,572,
429,624,998,029,434,369,248,107,451,461,079,616,263,290,473,557,335,617,917,
577,779,212,048,287,755,544,852,691,649,426,652,088,168,642,432,132,815,106,
553,587,891,530,805,373,050,619,719,176,240,505,230,166,895,262,202,481,074,
069,288,821,795,801,153,079,188,251,687,389,790,850,219,846,298,178,091,633,
078,520,519,850,369,515,974,974,585,292,801,337,203,826,654,665,113,110,348,
648,386,210,733,128,705,007,962,246,923,416,531,037,186,275,824,292,869,507,
400,994,673,343,236,499,864,907,743,902,637,539,496,568,702,095,710,247,975,
917,104,846,378,936,413,311,044,304,695,599,708,548,412,866,546,355,872,750,
603,140,930,480,673,866,345,322,270,598,520,008,918,485,298,699,285,948,659,
350,384,537,259,472,159,974,521,131,892,323,033,030,458,302,913,661,734,742,
649,983,221,960,813,716,721,930,497,812,773,486,719,219,157,847,604,339,727,
378,501,540,435,669,064,704,054,849,266,470,156,994,305,886,258,756,881,103,
117,682,122,784,867,651,574,572,614,172,885,368,356,890,005,618,036,359,713,
556,369,287,587,613,226,260,386,599,440,792,739,135,230,850,407,136,434,248,
553,148,233,387,821,793,233,884,796,283,575,280,776,282,034,730,106,036,473,
623,303,947,979,264,361,611,778,905,315,139,222,573,235,590,352,854,533,116,
364,633,870,581,495,255,084,507,423,019,897,667,992,369,484,936,393,424,374,
137,476,744,412,326,837,067,978,521,412,445,116,273,436,862,788,552,540,661,
940,529,890,723,399,318,217,915,373,333,682,863,279,980,923,851,821,081,971,
400,402,640,591,489,520,747,239,720,536,743,397,051,341,322,610,802,744,192,
813,168,528,292,824,904,888,250,787,772,938,691,216,913,539,870,919,119,805,
790,525,299,179,615,574,383,841,614,957,045,432,868,151,010,689,846,093,589,
770,104,651,275,189,252,873,226,174,446,049,078,320,485,987,696,936,221,581,
631,493,908,987,232,191,321,580,771,690,657,501,341,740,157,352,014,232,069,
067,269,540,014,676,505,564,913,484,004,232,728,229,918,347,571,007,774,182,
355,130,759,428,774,752,047,509,230,130,809,264,855,380,807,358,166,073,025,
705,803,829,731,652,575,837,775,647,083,879,246,535,358,318,254,975,132,592,
632,699,847,835,571,593,610,967,962,017,732,814,582,926,771,551,575,488,526,
326,759,370,716,105,149,352,248,778,304,028,838,834,514,807,661,867,875,538,
775,504,974,208,880,798,727,763,597,101,615,719,318,814,172,415,426,704,194,
835,658,985,141,152,732,773,232,848,414,964,181,494,378,938,259,536,015,684,
319,479,749,281,531,100,725,178,510,478,532,214,171,245,255,871,407,446,082,
693,964,217,594,810,534,322,371,016,815,516,581,051,403,718,175,842,918,732,
827,444,602,854,734,187,510,109,213,322,363,425,991,122,865,222,511,109,535,
378,502,432,363,744,746,707,072,106,314,517,232,860,343,334,056,651,590,919,
113,430,029,592,934,314,198,126,679,953,207,453,646,725,939,904,064,296,840,
680,228,028,621,404,768,085,378,709,270,494,422,064,610,878,319,382,171,998,
291,332,623,970,218,060,349,657,767,656,797,028,821,768,994,977,152,427,208,
475,326,991,173,898,537,655,706,762,748,648,439,248,380,098,034,073,927,978,
006,010,545,809,080,151,465,450,422,236,873,402,132,083,718,082,127,833,183,
802,589,772,400,184,188,357,315,279,258,809,336,601,721,453,075,506,781,473,
032,906,751,036,198,338,723,001,073,316,371,201,313,121,123,225,728,185,947,
896,200,314,244,395,870,741,287,061,582,340,580,151,841,282,507,165,263,939,
885,067,834,704,929,621,647,749,893,035,283,256,946,609,475,512,281,797,621,
525,360,533,084,468,231,838,156,052,823,812,038,545,380,114,350,332,626,630,
746,179,615,055,354,277,803,131,953,921,492,918,539,046,288,272,847,325,014,
935,292,300,117,379,188,656,365,777,474,253,589,363,151,043,216,759,679,002,
630,799,685,057,504,154,455,123,052,534,735,493,046,072,064,015,745,151,168,
979,567,904,199,043,571,920,682,832,702,844,225,230,388,435,610,843,460,144,
452,912,370,835,939,475,894,994,573,279,746,995,766,837,957,728,067,057,506,
313,293,371,832,442,862,732,029,867,969,091,038,319,041,149,337,442,413,870,
506,947,186,226,652,065,208,008,875,791,604,059,539,755,993,928,063,387,778,
156,219,135,019,673,762,543,339,426,787,747,394,564,692,935,452,989,241,882,
691,911,616,581,803,608,671,708,810,029,161,984,123,688,114,226,794,355,240,
724,177,062,885,716,350,062,015,617,606,823,834,639,829,312,723,592,041,772,
823,556,615,566,720,702,833,008,407,712,900,354,329,590,838,802,775,233,871,
756,249,136,521,814,438,069,345,659,199,038,883,330,776,928,713,248,921,242,
727,912,089,573,120,878,669,697,776,385,494,796,786,341,969,777,518,895,155,
004,616,046,219,155,205,074,173,435,399,504,402,669,660,891,805,530,014,308,
838,713,689,983,640,490,409,274,437,878,512,393,734,635,781,633,069,165,440,
270,134,737,274,374,217,939,159,832,721,068,263,854,931,331,002,531,974,262,
150,690,784,912,317,395,377,138,474,849,091,108,289,494,951,307,345,011,866,
170,500,605,791,016,412,964,401,457,208,082,967,328,581,664,079,586,980,497,
300,136,186,060,261,763,386,657,196,029,568,414,885,563,109,717,833,204,910,
082,582,578,558,846,622,874,645,450,236,827,627,374,706,945,903,642,293,171,
434,187,752,405,660,168,639,740,115,195,969,239,057,666,060,707,487,812,086,
446,081,934,646,627,056,288,478,327,515,088,388,072,238,525,622,158,427,835,
468,408,365,320,673,697,336,942,593,996,249,998,648,607,624,862,928,099,748,
095,547,766,099,484,961,090,252,591,836,647,551,875,678,300,765,664,652,651,
076,729,881,543,959,050,399,234,030,376,627,686,168,228,034,198,477,308,882,
397,465,199,768,758,891,965,068,716,251,194,787,019,327,653,688,557,215,297,
539,913,451,343,291,579,724,697,323,501,941,934,633,957,908,853,786,255,210,
373,655,085,070,704,492,006,808,342,933,156,491,183,753,056,516,416,157,005,
039,507,491,921,543,113,198,369,861,549,285,048,123,884,045,961,525,447,074,
973,173,651,258,178,354,273,015,581,184,540,031,066,918,367,384,132,612,631,
768,381,296,454,386,945,438,629,904,042,930,747,454,551,694,100,113,709,631,
708,499,145,590,784,308,528,186,468,159,855,071,723,551,344,754,312,832,552,
580,428,618,586,388,796,363,100,402,646,855,799,343,049,804,380,467,789,794,
488,896,152,130,825,309,322,898,565,161,157,995,673,108,945,316,337,667,411,
991,369,528,163,239,796,173,551,652,719,200,685,735,955,651,856,188,683,201,
642,255,617,537,960,279,159,637,234,862,231,010,910,035,203,017,385,786,705,
801,338,946,919,000,308,477,920,456,026,446,642,576,734,882,734,257,253,700,
011,506,805,005,883,384,432,711,922,840,629,967,633,156,822,669,323,746,005,
798,060,926,272,239,897,766,799,548,626,888,584,191,977,073,038,561,717,551,
887,063,415,454,662,731,421,780,959,527,239,343,767,352,258,174,444,731,374,
101,076,806,589,014,493,391,726,145,122,678,255,742,048,825,262,154,436,796,
775,545,057,493,074,527,476,641,551,869,919,565,484,576,389,622,565,727,520,
029,828,903,817,028,965,484,792,097,778,964,245,937,453,643,090,390,758,397,
608,891,312,642,085,089,233,201,380,207,295,939,697,060,353,397,454,987,173,
456,414,577,860,728,861,136,184,818,522,261,687,002,272,595,337,465,887,454,
769,861,196,789,116,399,781,104,286,868,055,705,681,629,908,868,343,102,180,
331,527,282,649,167,593,268,169,124,991,018,279,105,571,291,555,491,713,129,
033,672,300,618,483,140,948,069,394,138,559,976,151,710,356,142,657,322,686,
821,538,961,687,831,708,337,200,783,738,828,859,359,439,517,518,245,321,619,
794,601,620,986,433,450,438,328,355,103,041,870,067,039,293,227,936,086,952,
522,165,178,795,585,784,892,026,980,173,147,979,298,743,837,860,854,541,526,
222,150,934,394,865,928,915,286,522,528,692,968,601,077,849,721,994,120,479,
969,399,357,345,624,566,847,436,569,669,988,161,538,180,329,013,900,260,344,
080,662,610,524,152,520,392,285,744,185,943,016,640,505,723,403,145,783,828,
282,116,906,947,271,531,406,165,174,683,478,699,744,334,275,208,385,744,856,
338,031,670,449,303,338,722,622,278,748,450,073,172,167,782,479,613,285,554,
824,316,161,252,879,646,036,976,386,192,175,357,263,609,782,103,240,533,374,
363,394,681,053,934,775,770,430,517,231,230,407,223,237,205,471,920,867,000,
441,048,310,513,125,953,761,157,446,373,253,521,248,979,023,630,725,998,496,
878,341,868,650,579,956,694,808,121,870,814,960,007,159,721,260,029,356,739,
180,344,800,968,519,192,303,751,788,840,542,018,894,461,387,793,790,993,176,
362,493,055,468,230,405,909,891,744,445,519,956,773,082,359,650,825,772,299,
030,722,038,323,279,484,656,300,017,156,555,803,694,860,851,631,934,983,416,
783,383,870,598,338,639,210,862,053,846,531,746,224,944,694,652,764,697,590,
277,344,983,244,376,055,906,390,655,008,574,062,301,014,929,948,452,213,077,
299,994,656,451,114,559,452,272,069,236,349,023,718,703,925,514,842,651,579,
793,067,360,351,275,635,870,545,123,175,110,994,066,972,560,658,947,213,288,
717,082,649,430,897,022,857,804,133,167,977,480,522,657,855,940,987,758,274,
115,643,207,258,802,545,140,635,579,104,204,188,469,363,447,135,525,480,460,
283,140,047,635,473,497,714,343,078,403,677,330,335,766,698,258,238,743,907,
530,447,545,166,700,367,050,421,643,813,037,426,564,937,144,171,438,612,350,
310,669,885,177,995,150,104,775,910,702,690,769,750,169,715,067,865,038,538,
155,119,240,402,043,813,889,069,110,628,517,007,913,788,437,994,857,610,870,
555,015,771,836,470,608,743,341,743,828,924,247,836,975,940,788,479,251,536,
828,842,865,369,324,544,940,900,259,911,962,868,574,019,748,516,035,664,581,
047,372,761,660,342,140,063,685,043,263,621,743,985,712,674,220,659,259,770,
353,756,072,570,669,381,073,122,349,287,860,385,930,897,098,942,211,588,843,
682,367,315,636,635,225,020,029,753,069,687,757,035,811,875,916,076,197,308,
941,003,255,674,017,661,338,998,859,115,664,448,811,892,448,283,253,555,673,
489,084,183,038,020,763,770,155,196,543,873,549,715,727,600,900,993,281,501,
829,002,140,866,949,954,159,230,756,258,246,069,289,588,955,779,425,581,773,
350,883,179,218,824,078,830,046,889,090,565,232,775,889,146,895,528,462,747,
139,779,052,841,924,118,192,668,698,962,821,016,626,635,902,977,129,336,258,
138,696,205,160,303,765,446,555,980,138,534,653,260,668,480,084,336,259,883,
682,206,123,753,354,084,056,094,177,031,577,172,563,358,348,740,745,658,499,
674,862,438,579,703,663,937,592,076,712,954,662,935,436,520,306,380,541,708,
032,258,056,332,151,094,425,069,869,718,306,661,925,947,612,310,307,933,387,
559,117,310,055,731,723,646,304,312,426,938,864,950,661,230,710,408,991,913,
107,865,050,533,718,313,578,607,956,527,758,466,812,070,217,514,260,140,958,
352,887,607,426,486,703,212,487,363,515,661,514,159,477,145,779,195,263,102,
494,805,718,436,511,859,577,719,985,264,833,665,904,635,251,762,884,146,225,
597,291,894,574,898,103,758,006,925,113,181,239,727,501,323,800,281,352,828,
971,550,748,733,917,174,789,490,493,618,121,685,930,908,234,630,133,704,041,
831,594,279,745,270,155,643,885,145,575,621,839,115,664,051,054,078,486,015,
862,760,996,633,488,457,345,738,506,522,097,231,470,832,569,245,085,143,307,
986,907,686,507,527,680,312,558,028,593,530,330,296,017,999,197,245,863,664,
139,856,929,524,153,443,704,473,655,936,611,527,770,526,721,748,891,858,515,
698,155,806,503,714,295,231,540,566,506,757,963,287,548,726,953,506,365,734,
237,689,611,382,865,413,788,114,195,430,851,018,415,882,814,330,153,610,227,
430,974,376,047,063,623,623,218,112,455,236,007,200,199,241,462,322,960,233,
853,724,938,480,759,811,009,916,260,032,365,508,733,724,114,381,365,873,936,
274,875,557,258,471,497,690,026,470,062,184,385,425,548,771,528,077,568,243,
464,990,151,165,885,094,164,098,064,682,925,444,536,507,755,925,951,997,452,
167,160,548,702,732,837,395,375,987,451,223,331,404,801,238,806,642,564,172,
211,809,675,547,537,063,982,515,578,101,489,333,394,329,234,726,407,630,552,
139,372,040,209,638,879,420,378,266,464,383,110,881,886,253,843,629,745,079,
914,111,116,774,094,919,434,182,223,203,390,427,339,639,152,760,278,381,675,
253,113,008,259,650,982,667,696,213,945,733,311,761,138,358,751,322,473,596,
628,627,311,749,319,885,579,525,680,006,101,605,428,919,267,243,066,626,830,
222,006,903,319,822,894,640,168,670,201,289,891,474,942,461,648,659,383,992,
187,243,896,604,887,415,321,836,652,304,959,341,238,913,709,655,220,359,692,
620,721,538,591,873,125,702,396,075,886,936,369,368,071,346,319,398,354,748,
265,882,326,738,080,733,797,032,611,874,889,956,927,179,995,237,120,219,541,
186,202,099,206,421,195,668,851,541,470,272,931,657,791,816,874,072,366,262,
295,286,878,720,510,125,455,894,154,489,796,245,742,131,715,274,317,761,255,
767,347,550,164,497,757,737,739,355,493,177,230,853,485,123,165,883,769,401,
763,372,787,157,414,225,364,202,365,153,359,305,196,629,233,367,317,637,596,
302,915,374,437,578,765,652,594,505,015,093,704,970,869,692,513,754,290,670,
616,388,370,403,947,083,225,112,655,585,191,828,500,591,803,991,144,358,013,
811,898,140,630,789,115,182,630,448,568,755,437,509,104,354,329,829,594,316,
135,833,268,626,596,972,098,490,158,856,347,633,744,326,468,993,465,061,924,
114,104,474,491,068,421,564,001,949,497,694,981,272,869,874,475,112,895,744,
268,822,406,665,501,334,807,763,324,780,442,615,309,300,943,095,352,827,165,
563,564,631,437,372,067,137,166,409,415,745,122,486,560,583,243,362,981,162,
376,470,706,216,995,796,341,567,923,471,712,652,876,834,806,719,938,521,997,
452,988,768,710,327,443,983,180,625,602,985,005,884,898,468,645,531,741,147,
928,698,813,546,567,437,196,422,683,769,225,490,145,768,957,635,557,609,414,
301,501,059,907,147,694,528,417,786,546,837,981,767,025,443,602,852,602,024,
104,163,729,773,500,838,466,532,429,593,517,022,416,054,556,899,763,934,823,
898,279,064,646,141,760,915,877,862,457,269,677,042,113,225,141,531,386,041,
507,097,934,099,744,919,056,362,545,208,800,301,438,959,289,984,022,368,373,
220,537,860,437,334,145,989,826,799,559,974,949,536,644,291,410,715,157,820,
127,465,799,640,886,507,968,143,979,547,511,518,714,655,436,330,707,713,997,
531,535,915,945,320,077,490,412,239,123,149,885,675,946,337,305,151,104,774,
766,324,315,108,162,805,508,164,782,516,355,447,005,513,956,912,314,286,785,
861,946,738,462,923,640,455,613,374,260,307,030,458,109,256,889,020,500,754,
355,065,691,022,332,037,939,135,887,136,752,756,784,247,959,008,027,208,492,
447,949,554,157,112,735,124,854,980,515,794,221,614,964,806,398,374,224,350,
034,657,802,322,981,131,142,897,003,106,538,549,446,683,085,099,566,677,544,
789,084,205,382,095,479,895,337,845,009,921,251,175,305,721,550,990,190,323,
331,810,740,840,344,224,452,360,252,420,591,628,534,127,411,702,544,220,866,
996,621,067,181,428,846,797,603,734,953,781,509,791,590,473,748,895,149,562,
397,048,979,539,251,815,845,791,598,521,917,138,107,484,199,779,201,265,587,
131,071,008,445,462,168,810,190,203,217,993,262,530,188,354,767,222,608,538,
593,930,052,464,077,266,574,466,987,525,544,206,468,120,792,638,679,806,616,
003,381,854,398,794,139,434,704,992,429,930,128,544,131,925,268,793,360,466,
604,132,476,924,816,576,555,883,974,579,353,730,937,889,984,240,513,211,433,
393,929,021,066,543,180,742,623,899,287,903,464,281,530,145,510,921,004,167,
149,098,475,855,983,143,148,362,257,981,008,750,114,557,318,999,339,155,295,
849,818,621,857,660,297,029,145,107,727,614,487,118,475,168,161,630,579,736,
230,896,335,998,221,041,909,990,160,159,678,306,521,839,790,180,730,426,907,
764,471,245,502,781,509,072,279,919,079,336,158,300,939,475,156,678,708,063,
278,947,274,236,964,197,356,689,068,804,263,549,559,946,243,240,451,280,083,
882,789,201,219,576,050,197,742,266,876,576,654,111,619,130,648,892,005,442,
604,383,315,193,263,318,407,394,200,830,676,585,957,031,898,061,467,652,597,
916,864,624,805,257,614,122,037,571,408,845,509,949,268,620,279,863,300,333,
902,400,444,095,281,582,526,253,336,465,764,030,044,283,631,376,142,976,337,
032,634,852,851,010,891,247,076,468,073,448,444,528,254,784,252,291,550,320,
273,391,718,299,427,582,264,661,272,381,712,557,883,874,786,337,038,476,789,
466,371,249,953,295,448,530,134,235,850,246,658,038,805,295,433,091,672,136,
314,840,651,500,742,580,467,784,650,338,423,935,358,651,947,502,905,450,824,
440,040,305,418,492,346,898,959,535,951,602,619,229,420,578,992,433,571,345,
212,447,621,745,478,854,781,933,769,172,663,335,439,542,847,176,876,775,700,
664,149,403,584,964,163,837,841,999,346,355,308,726,975,566,080,008,738,376,
892,992,669,743,744,158,829,344,567,093,234,891,462,205,530,383,250,036,598,
019,180,829,694,042,027,707,511,850,402,860,183,613,296,164,666,985,441,699,
818,638,002,250,026,474,189,579,394,230,608,192,687,440,134,856,979,961,108,
855,538,100,874,483,511,247,585,381,179,145,274,606,293,418,395,040,592,835,
554,254,086,101,405,981,131,637,366,324,525,822,737,927,556,752,741,792,386,
123,013,103,324,292,580,459,713,534,256,502,736,271,782,982,675,991,546,561,
465,295,897,253,903,962,771,511,217,175,951,255,735,557,854,394,549,892,737,
835,387,717,169,787,361,456,006,676,712,908,082,357,541,379,525,123,007,812,
411,656,976,734,961,776,004,253,596,782,049,829,125,715,401,860,662,695,469,
229,723,779,246,584,211,267,023,035,652,269,702,894,283,743,007,518,346,025,
528,122,740,325,730,504,274,342,410,464,454,738,481,503,182,846,643,913,545,
852,244,911,204,745,292,145,948,665,202,825,256,706,748,690,973,839,263,477,
681,860,060,868,029,515,244,651,044,970,464,888,743,644,191,712,505,937,839,
570,579,667,999,209,562,731,985,989,893,955,980,575,430,681,867,286,140,566,
505,516,280,020,271,672,898,015,875,919,440,464,017,498,043,328,892,528,249,
567,099,004,942,041,885,961,922,466,472,872,053,527,968,091,985,387,355,317,
746,565,661,229,233,513,330,022,613,295,543,642,345,453,409,276,620,563,288,
098,074,299,617,638,636,831,421,713,238,687,713,678,502,568,237,139,397,598,
058,408,485,317,111,334,695,157,183,493,229,927,706,233,769,639,807,688,571,
760,722,000,878,726,383,865,487,406,721,990,677,736,131,268,959,203,119,978,
543,607,275,969,400,600,625,497,067,509,641,574,117,131,609,026,557,959,274,
391,477,165,677,274,882,346,876,681,682,639,212,892,690,301,510,677,345,606,
932,626,919,239,646,388,337,009,953,721,960,963,972,230,405,587,399,810,834,
145,536,519,143,252,568,766,904,470,232,241,952,731,056,866,199,055,235,393,
432,593,510,773,771,830,388,570,223,760,974,362,761,138,663,747,518,317,258,
676,884,873,878,230,882,740,514,622,685,385,251,422,417,698,890,335,345,373,
034,715,248,303,134,856,890,336,921,121,437,453,067,786,771,045,670,899,400,
432,132,577,658,143,043,259,176,809,755,455,920,577,064,233,159,500,654,725,
968,660,554,046,657,153,688,537,481,184,657,917,809,851,431,477,543,855,191,
622,899,723,159,667,948,327,770,640,861,821,724,321,185,040,931,184,741,701,
598,026,653,714,347,044,351,404,178,272,371,473,346,852,436,405,775,224,490,
717,966,991,626,192,951,745,787,086,683,577,046,120,749,303,510,879,707,033,
992,757,080,211,845,430,200,302,511,690,595,663,927,718,286,445,033,998,049,
254,571,723,599,824,099,324,574,706,062,750,380,867,711,369,604,476,466,364,
586,898,644,215,414,173,953,578,737,324,484,033,715,388,627,521,651,527,874,
264,500,058,733,157,295,176,746,713,778,456,051,957,064,674,623,478,191,761,
459,418,543,194,547,253,607,564,910,473,900,269,931,295,029,027,138,509,660,
533,681,099,808,665,283,330,956,873,946,834,266,812,606,407,438,022,757,431,
229,108,387,114,306,513,894,558,133,043,887,442,796,689,060,232,968,723,006,
467,348,424,104,338,927,178,481,236,242,685,022,398,766,265,319,971,876,575,
375,868,208,728,061,303,955,451,216,096,244,174,883,572,532,720,994,323,898,
861,750,884,230,517,471,508,523,281,697,934,190,654,410,055,060,347,319,458,
444,864,723,121,607,432,179,642,765,853,900,856,416,845,256,386,050,183,551,
688,324,207,855,940,836,112,349,264,552,210,574,264,858,410,247,937,334,820,
818,617,192,803,412,968,972,880,208,232,675,717,095,818,408,713,795,220,910,
899,454,884,270,552,349,967,791,043,962,903,897,595,681,041,634,469,033,994,
649,058,614,520,522,486,259,320,235,230,257,151,118,924,211,207,683,085,478,
726,863,466,090,853,281,466,569,389,971,098,376,117,891,258,067,675,477,205,
759,343,313,694,265,846,074,454,561,764,271,195,575,211,738,784,025,307,127,
099,859,442,459,747,423,750,549,181,313,883,569,181,074,993,566,982,412,055,
087,042,407,828,570,107,131,704,123,505,927,968,991,068,888,980,338,968,552,
590,995,386,728,577,760,699,300,614,242,961,712,520,026,616,521,415,738,100,
874,944,946,392,154,727,278,517,023,282,928,233,992,100,457,753,223,603,883,
928,168,911,555,811,964,217,874,376,946,904,712,293,369,127,814,840,753,135,
136,119,405,203,562,661,225,347,908,632,422,608,804,364,516,465,248,306,058,
860,350,609,819,445,756,029,696,686,838,075,304,790,417,183,080,849,929,363,
562,446,785,079,278,466,947,860,141,329,881,649,715,150,304,274,173,158,082,
186,177,130,572,677,946,727,854,050,770,444,173,574,939,010,331,974,697,220,
437,580,552,172,518,845,259,163,371,292,060,782,322,680,915,784,853,875,285,
738,340,610,426,236,661,385,485,939,106,745,649,790,144,954,026,484,631,597,
301,004,020,530,871,861,291,137,553,580,703,592,695,129,718,887,092,864,071,
912,233,970,017,338,169,122,634,637,450,375,656,558,876,455,556,225,014,366,
809,346,564,905,030,273,694,441,191,263,446,100,435,337,967,610,426,315,365,
469,017,601,324,583,385,749,043,058,353,450,149,206,616,148,714,463,891,478,
889,179,511,355,424,973,467,084,606,620,673,746,103,133,522,895,148,863,089,
672,784,013,887,235,039,357,498,583,205,238,668,953,025,862,620,051,790,114,
637,809,485,892,634,638,499,841,114,243,084,754,022,115,912,969,176,049,177,
880,851,576,797,907,210,733,189,211,834,273,662,546,137,002,304,221,458,026,
363,549,266,018,929,472,628,770,831,371,458,838,261,902,516,579,554,072,473,
112,566,182,979,670,272,715,296,851,105,798,629,332,482,977,806,881,317,496,
507,997,447,373,609,903,276,478,494,419,910,057,988,007,906,710,266,519,523,
257,781,677,745,269,824,736,001,097,001,280,500,308,321,957,000,960,852,642,
248,323,108,228,532,041,314,384,239,969,314,733,745,663,554,105,788,001,576,
087,000,319,075,392,032,067,202,992,228,836,268,652,294,915,952,418,769,957,
046,100,151,446,334,911,308,605,822,332,167,021,386,244,479,315,258,353,228,
145,396,072,492,819,004,896,329,610,119,979,518,292,470,280,220,458,492,564,
165,332,583,546,425,301,124,732,257,428,993,948,139,424,850,002,016,364,416,
528,163,040,797,678,867,697,758,911,354,333,210,736,294,254,102,880,396,541,
715,767,450,694,926,947,638,539,658,345,057,920,547,722,153,346,477,746,911,
598,050,781,522,840,125,788,554,427,449,574,960,221,845,364,891,742,503,004,
027,156,820,718,157,734,391,486,395,796,270,508,620,521,287,094,040,010,545,
053,354,692,199,386,249,115,621,764,473,787,111,147,787,722,854,731,661,672,
439,365,166,763,305,265,209,550,253,632,804,539,807,308,103,233,623,243,377,
843,549,278,790,361,922,236,631,439,636,161,138,816,401,088,496,004,371,276,
461,985,616,698,561,557,421,435,069,719,665,840,314,794,542,637,796,088,945,
690,275,704,958,716,910,667,125,164,160,441,079,635,559,806,438,401,702,780,
511,512,219,766,249,782,313,878,673,264,471,606,995,415,204,431,322,414,483,
556,300,109,575,778,193,407,299,335,731,398,877,233,013,222,911,201,605,875,
394,451,745,375,113,902,841,840,092,739,828,018,883,472,275,727,149,135,229,
478,892,443,313,823,281,919,720,336,074,529,870,414,024,116,705,659,391,721,
942,451,349,318,840,371,980,133,258,721,695,943,070,446,923,593,157,392,201,
514,813,415,145,558,347,905,388,434,886,122,883,882,803,913,587,764,478,749,
287,035,401,635,866,815,081,678,249,089,083,658,846,472,271,172,807,272,075,
491,028,147,539,727,026,664,721,431,237,783,744,549,120,756,221,603,799,754,
282,384,637,964,192,949,204,111,042,588,092,260,295,880,927,836,950,339,123,
815,311,084,471,452,265,419,503,308,419,104,469,869,465,400,532,724,588,233,
734,962,525,485,756,700,558,176,144,255,272,663,215,760,169,654,334,322,685,
221,255,930,776,650,746,577,593,992,497,705,486,442,083,576,562,176,479,711,
774,187,010,184,144,273,395,907,791,792,796,128,220,233,917,923,239,787,983,
513,936,952,762,178,169,158,020,415,529,542,263,420,173,541,256,116,752,146,
839,910,437,025,204,532,099,662,301,660,894,219,012,624,120,797,203,738,437,
098,514,455,537,855,788,628,155,256,368,474,312,061,947,283,455,621,855,393,
331,132,975,659,565,627,329,850,190,490,313,748,585,348,074,708,569,477,933,
699,451,245,743,360,105,199,722,709,575,280,176,447,953,719,523,686,148,327,
821,440,281,252,474,063,303,506,990,064,204,898,340,368,396,882,998,306,740,
507,996,486,425,041,743,723,666,797,519,058,013,328,540,587,826,851,582,840,
861,545,699,272,214,239,126,107,880,838,635,434,960,099,152,435,136,379,801,
426,034,801,775,187,645,607,674,462,917,122,229,779,270,811,470,569,464,192,
932,439,214,961,391,530,357,881,645,782,920,430,343,116,734,316,663,368,227,
487,411,585,433,791,949,533,324,134,770,281,201,298,067,474,099,006,030,436,
985,642,179,395,374,401,014,961,550,647,074,555,981,746,600,592,547,315,981,
547,210,028,411,200,136,424,072,371,227,555,731,561,409,226,595,497,146,079,
486,634,010,530,792,928,686,666,002,011,236,211,336,443,801,308,916,897,402,
893,055,314,005,760,495,879,879,075,259,976,026,245,579,595,633,923,785,873,
889,566,603,107,217,766,346,004,479,176,937,706,185,239,226,518,438,620,712,
836,632,057,371,618,158,545,437,179,833,801,043,588,658,939,709,139,577,862,
252,043,144,058,323,129,992,453,481,615,948,888,681,645,009,964,001,608,955,
945,439,787,436,489,741,864,354,002,643,456,892,576,487,438,711,312,886,528,
691,575,873,601,362,858,627,484,767,777,277,084,366,229,981,644,900,237,490,
301,951,765,969,647,931,468,233,665,911,623,298,554,529,604,562,955,922,653,
538,578,250,347,596,063,617,313,177,036,632,679,187,653,085,710,913,812,724,
034,673,404,325,618,439,293,843,011,429,897,820,129,154,077,357,619,873,472,
463,920,410,340,882,824,352,688,279,870,239,987,114,809,130,688,449,932,371,
207,040,643,841,692,235,321,526,657,723,127,291,425,050,187,763,704,608,564,
606,517,821,280,268,700,398,669,549,722,811,472,222,936,208,145,293,799,309,
244,670,448,152,011,727,936,781,171,788,053,864,789,513,240,284,601,364,800,
881,506,571,799,389,920,605,314,521,089,092,409,772,428,216,334,391,045,477,
849,421,429,123,951,650,716,011,375,966,820,993,680,070,204,022,111,847,416,
686,989,203,736,769,361,473,057,836,238,605,315,238,828,660,486,496,559,400,
847,966,251,125,780,659,459,363,660,951,036,921,296,936,127,258,613,348,624,
226,722,964,869,727,413,702,120,810,847,804,468,207,793,334,002,071,314,057,
939,859,783,914,785,460,886,018,580,718,933,945,286,549,080,504,394,134,140,
758,046,257,919,372,337,800,820,570,482,535,376,139,289,719,218,536,803,699,
886,946,787,495,121,014,622,858,818,312,927,109,622,711,825,883,852,435,724,
021,991,800,289,569,357,070,263,845,701,978,446,313,493,218,337,446,295,324,
259,414,694,246,879,196,725,956,631,641,906,839,922,882,662,038,843,407,561,
402,855,470,651,079,670,708,193,063,812,867,170,078,866,518,922,880,955,014,
902,188,377,193,623,649,831,634,548,847,778,780,565,078,019,640,166,880,619,
132,719,122,309,753,977,198,522,535,475,648,416,970,989,313,484,719,442,727,
472,613,813,663,429,628,020,293,874,568,874,014,466,519,036,827,705,985,690,
353,675,670,562,374,543,411,208,283,470,413,269,155,796,157,488,954,791,649,
023,526,858,813,142,640,108,889,968,418,445,923,153,310,156,037,378,375,139,
665,280,294,104,342,037,329,527,764,932,804,350,765,422,102,760,033,616,015,
521,160,104,044,574,590,019,691,750,072,180,534,970,615,637,056,384,161,394,
965,834,638,302,566,493,993,264,680,731,226,045,548,158,894,510,749,860,093,
564,705,097,840,713,228,183,561,086,250,523,009,147,102,677,696,397,734,600,
751,066,332,924,622,344,262,149,525,299,832,549,590,173,026,423,529,810,663,
711,693,069,740,742,312,199,410,830,556,218,323,265,873,972,481,794,438,856,
171,210,749,631,914,203,053,853,957,880,478,641,869,196,411,272,137,945,187,
574,247,712,211,796,991,395,831,377,336,904,494,245,809,533,972,631,388,359,
525,538,017,775,606,659,597,807,726,026,958,619,698,935,241,811,029,010,722,
945,956,730,490,570,495,709,246,130,943,760,390,125,750,486,120,736,310,489,
573,613,653,802,912,282,956,224,427,134,344,279,902,682,974,956,419,049,185,
528,032,969,016,739,819,988,664,494,703,416,671,683,528,937,272,896,971,232,
147,869,243,734,999,899,879,808,293,264,482,017,608,282,203,956,467,967,912,
957,810,013,899,965,686,860,354,878,037,205,351,885,954,669,626,139,557,274,
843,460,886,979,617,444,480,156,880,744,858,043,088,814,072,048,006,294,129,
953,150,822,680,478,598,462,894,847,852,371,452,470,977,160,781,700,015,459,
257,760,072,044,324,156,935,146,337,470,398,171,533,167,983,550,270,908,808,
515,511,680,471,689,577,901,555,391,318,946,817,208,534,721,457,885,720,654,
295,502,293,948,763,210,569,138,469,547,438,897,191,343,982,480,674,224,310,
277,403,780,970,391,430,536,495,988,680,137,529,498,560,305,031,321,962,920,
865,991,947,484,504,905,657,234,963,986,705,241,038,949,427,992,997,800,610,
355,937,260,886,234,859,705,098,147,023,635,280,580,209,603,651,886,693,012,
046,180,278,312,880,358,748,554,602,971,059,445,266,130,102,743,790,206,521,
890,555,320,756,881,031,642,073,765,863,737,638,022,816,463,258,282,912,337,
537,853,134,848,325,919,277,656,957,031,833,806,771,051,839,798,736,275,342,
706,927,658,992,868,889,495,089,851,454,314,107,179,753,246,210,107,402,687,
692,638,435,749,587,507,437,913,194,256,678,605,584,888,042,088,712,299,057,
034,953,952,213,232,046,928,446,000,924,446,035,474,852,217,229,047,962,419,
733,793,765,761,323,074,958,256,421,364,034,598,113,106,407,600,656,225,871,
463,970,208,653,367,843,107,821,563,113,142,203,155,920,955,992,912,788,761,
889,919,137,135,883,221,126,201,685,909,417,422,800,320,514,104,564,900,987,
987,747,144,755,515,035,790,232,979,842,589,338,469,161,551,172,035,181,651,
901,622,041,922,091,387,093,692,289,562,057,023,471,677,053,550,371,004,632,
415,611,724,434,346,003,696,145,398,705,541,751,563,602,242,713,100,092,249,
024,227,285,662,736,702,112,283,363,498,531,423,819,417,342,399,558,988,464,
277,473,381,483,656,076,201,984,855,530,447,269,313,528,161,925,431,452,639,
647,095,575,791,585,440,476,535,871,196,917,520,505,111,516,671,536,606,477,
878,757,285,942,019,231,730,745,360,416,897,256,197,922,477,799,352,101,123,
949,283,474,931,409,185,510,775,646,393,726,197,110,169,357,669,791,439,199,
944,436,024,594,114,318,549,640,412,389,178,524,754,991,294,062,264,982,015,
660,337,252,419,552,334,062,028,420,324,031,369,285,921,513,934,761,741,117,
103,770,919,117,091,620,945,061,909,886,323,579,938,170,849,460,552,574,027,
963,127,520,681,245,845,580,595,077,057,303,345,895,620,018,914,223,402,205,
679,979,076,531,451,727,364,881,231,583,590,810,275,553,916,597,760,090,922,
298,751,895,800,094,860,722,220,084,822,689,664,311,663,204,955,626,250,727,
883,212,663,417,562,976,624,608,120,337,508,740,071,744,287,871,677,759,221,
598,302,843,131,287,184,187,113,563,971,924,382,686,359,029,253,452,736,752,
978,493,477,955,144,379,999,087,910,258,042,827,840,964,753,925,145,948,891,
017,109,836,874,111,774,618,313,573,516,132,560,809,661,347,738,382,942,852,
769,110,035,785,552,623,457,564,337,331,301,525,499,803,204,426,160,052,961,
652,081,583,801,201,018,788,842,285,756,473,732,632,233,904,110,873,451,951,
305,511,454,194,259,423,810,649,864,242,091,262,986,570,843,293,365,518,708,
959,752,171,328,181,842,408,566,972,023,681,244,666,820,847,302,666,468,559,
802,168,409,614,534,253,425,202,387,629,186,169,456,816,026,476,483,136,110,
355,655,658,673,964,406,222,984,918,105,774,931,317,118,261,907,732,965,018,
563,241,967,502,388,028,030,567,215,679,279,431,252,077,453,999,493,746,529,
272,146,796,728,364,299,300,949,174,629,492,865,180,239,145,588,616,151,170,
305,535,166,136,454,793,074,838,469,466,685,535,922,610,086,108,529,092,978,
458,456,331,989,274,620,242,734,522,339,000,339,354,429,297,285,515,366,001,
798,777,328,488,621,193,386,305,991,947,746,145,622,970,426,404,900,764,778,
323,647,727,265,679,949,516,071,782,499,428,168,983,417,008,203,924,651,584,
215,934,517,598,202,377,844,540,757,553,389,702,078,694,238,747,978,662,793,
134,586,998,655,455,439,445,471,101,113,072,963,767,412,488,962,915,688,026,
955,038,578,898,426,150,438,418,304,891,589,864,885,727,910,439,149,906,126,
683,827,672,806,924,042,015,364,100,428,054,830,348,088,861,375,557,861,545,
787,293,638,811,028,018,094,223,246,071,777,543,298,358,408,012,984,561,050,
440,155,732,099,473,421,729,116,897,847,145,516,378,788,943,676,716,461,151,
390,796,561,400,164,947,712,298,768,182,771,906,831,786,205,863,576,286,790,
776,774,012,080,852,605,114,434,067,862,248,073,520,172,362,583,070,887,196,
473,687,451,518,682,994,495,181,116,184,073,431,440,909,512,751,254,010,288,
801,856,142,543,216,677,107,341,872,698,108,584,151,159,187,575,190,025,011,
390,663,796,846,363,175,432,908,233,306,708,443,022,749,207,142,257,795,564,
230,946,137,116,130,080,088,456,834,362,803,633,184,747,306,096,019,081,022,
815,598,902,576,686,093,811,016,934,447,432,265,290,374,873,163,550,432,856,
943,128,330,041,993,135,973,615,618,864,862,748,562,135,452,270,536,880,264,
881,280,371,462,592,352,094,318,124,002,756,371,515,081,804,148,356,038,997,
767,649,047,269,348,443,056,995,832,236,360,683,677,357,504,460,457,740,250,
570,618,297,521,662,413,224,220,540,534,618,018,423,190,550,066,297,051,163,
831,378,185,792,124,787,680,636,918,050,845,822,169,731,118,959,081,236,800,
512,360,993,433,550,736,812,027,932,274,178,084,968,753,467,906,753,315,836,
175,231,929,801,661,026,817,407,167,027,782,619,037,177,009,280,161,147,415,
937,769,746,593,026,245,759,320,942,896,507,530,985,668,039,874,234,004,260,
659,227,505,711,459,388,636,755,853,931,178,895,833,613,614,718,963,118,444,
511,387,283,071,103,544,416,315,682,231,456,442,175,054,434,449,791,753,423,
266,133,960,636,117,431,600,232,520,880,829,696,049,263,080,325,343,376,982,
167,322,900,495,050,874,118,632,605,268,569,232,449,583,466,800,926,650,340,
722,052,767,809,052,471,727,847,864,418,629,587,049,220,068,519,647,310,904,
056,772,989,130,492,146,710,930,866,537,120,549,618,683,166,135,637,050,431,
625,923,131,221,223,881,759,780,665,865,494,589,225,492,122,539,562,556,686,
639,103,678,411,299,794,907,503,157,807,175,202,588,893,771,165,181,929,147,
515,775,749,621,756,020,307,808,204,237,510,368,439,653,536,985,483,752,414,
895,844,874,701,171,414,301,318,580,395,748,414,612,136,853,170,253,884,127,
118,624,219,983,062,060,926,948,630,141,386,345,735,131,680,533,202,158,834,
246,623,673,201,807,830,188,967,644,580,229,279,519,974,622,207,657,840,127,
671,576,645,763,034,596,190,561,436,908,480,716,199,329,637,486,859,721,724,
627,317,521,517,108,677,069,776,776,742,285,362,607,319,073,768,519,563,187,
751,459,875,235,793,253,609,263,012,036,875,130,527,120,610,770,617,791,493,
483,738,905,959,787,929,613,291,961,247,416,189,109,860,337,933,759,350,592,
559,118,540,650,180,015,698,710,457,307,934,066,232,147,658,964,593,183,996,
621,666,828,670,814,380,810,314,154,096,545,848,596,514,867,952,699,728,848,
524,805,641,621,250,623,839,080,559,514,950,053,023,129,370,753,022,719,253,
828,695,668,599,271,800,755,862,063,735,455,412,404,590,445,859,017,117,384,
587,983,801,702,038,529,122,449,093,009,928,466,260,015,912,624,833,052,009,
251,170,124,202,617,596,650,919,929,117,255,651,348,479,429,958,553,049,073,
979,557,106,854,047,543,702,407,144,651,884,677,993,376,199,912,612,661,630,
235,031,373,265,280,852,934,375,718,950,486,617,711,917,544,700,395,547,254,
900,622,518,640,616,658,790,053,318,804,423,361,447,412,916,099,501,395,620,
860,416,823,938,250,301,089,876,490,078,913,185,613,594,976,697,611,506,673,
004,505,601,595,563,544,215,628,999,778,926,944,901,982,482,639,283,481,246,
146,974,815,868,550,039,028,121,190,621,590,518,123,827,331,727,594,352,525,
072,696,955,059,157,389,919,114,468,239,108,028,034,919,449,173,912,644,955,
150,037,372,894,846,471,668,087,242,859,987,593,890,520,421,055,210,151,807,
490,865,092,301,099,207,671,840,975,780,766,523,944,308,884,845,122,520,487,
466,400,290,171,456,164,931,705,417,658,309,552,228,601,937,314,958,012,925,
138,849,487,561,860,261,742,686,271,387,517,881,934,614,155,688,376,144,368,
956,250,096,619,005,568,302,029,340,574,886,875,476,231,187,374,335,548,164,
875,028,469,361,970,418,967,045,754,386,705,401,062,494,138,430,110,982,009,
302,218,985,747,233,066,581,387,222,603,867,579,929,765,841,123,820,336,143,
746,615,420,727,688,355,455,362,513,417,740,314,001,450,013,652,110,388,359,
338,113,293,948,555,996,886,460,490,975,070,783,716,022,994,670,268,224,515,
384,541,025,639,202,034,241,588,307,563,684,700,722,466,672,494,957,312,683,
550,268,888,321,762,758,507,060,295,052,279,435,408,504,470,988,599,156,797,
425,660,436,114,734,513,523,085,579,121,092,023,057,417,306,405,081,046,724,
644,519,992,300,549,869,341,388,198,144,783,698,135,875,690,301,174,344,600,
095,325,209,215,438,398,045,111,066,187,375,737,605,407,332,635,640,151,468,
643,750,272,336,973,089,398,694,392,007,459,906,341,723,062,180,654,021,561,
927,069,195,482,536,616,010,215,157,569,152,521,434,333,625,777,263,077,544,
013,046,625,869,723,053,671,392,695,274,328,906,463,130,162,670,440,102,314,
786,174,760,889,491,361,316,167,653,089,286,925,585,753,562,614,326,844,409,
679,559,843,231,456,710,367,737,599,202,929,684,334,552,167,710,863,190,105,
671,882,280,924,415,716,004,982,717,817,599,884,912,587,811,759,844,969,880,
787,031,533,909,575,610,553,055,690,193,289,712,126,805,921,873,219,337,111,
241,482,771,160,946,306,747,623,370,585,904,770,066,129,857,219,308,184,608,
130,459,530,011,877,169,176,613,344,627,064,228,230,773,647,730,387,183,736,
894,142,450,767,724,111,189,306,079,434,338,309,369,524,944,715,151,908,067,
002,201,073,366,235,745,863,466,396,190,252,102,838,206,171,997,629,956,265,
906,282,393,232,800,066,551,115,833,930,438,364,310,543,465,834,540,457,804,
754,665,571,466,133,242,963,376,573,239,266,874,244,465,625,193,757,512,239,
597,512,931,689,792,303,783,906,770,235,477,658,242,674,063,251,056,427,387,
511,037,085,175,947,477,139,794,493,257,293,283,754,648,264,488,411,718,916,
388,241,261,527,284,591,042,950,587,958,440,577,173,369,229,312,994,401,281,
917,053,264,042,032,301,973,282,685,605,403,216,417,670,026,777,901,991,845,
944,291,492,109,646,033,605,782,192,618,658,476,761,374,944,396,596,899,256,
909,795,349,184,969,615,071,180,120,433,729,842,130,056,573,480,537,509,366,
139,876,193,562,304,498,860,089,216,518,973,992,636,896,856,656,569,570,763,
817,863,687,854,477,027,456,507,248,663,719,727,683,614,204,495,481,468,962,
401,671,792,089,775,685,738,984,287,431,769,465,275,111,519,304,149,216,193,
190,824,380,284,618,787,108,004,153,636,857,654,668,002,946,437,209,713,619,
958,825,450,704,618,809,897,488,378,004,676,953,112,325,856,442,579,570,264,
579,729,087,489,810,249,177,595,947,342,139,208,906,850,132,641,059,291,884,
691,431,107,222,347,535,559,529,186,575,509,611,096,898,790,842,344,059,689,
073,785,995,156,496,619,427,879,973,949,917,017,636,498,495,813,168,660,331,
745,202,622,243,236,892,192,782,879,922,298,313,016,510,832,897,288,518,334,
325,362,771,734,776,595,186,732,995,812,147,081,639,012,007,439,877,378,496,
543,754,600,845,699,123,427,408,312,999,184,966,714,514,198,388,797,978,957,
350,402,253,878,818,323,138,415,601,712,441,509,157,387,646,835,287,347,857,
399,752,204,562,058,051,411,516,352,308,972,808,116,520,294,158,024,659,827,
624,360,733,783,973,320,633,861,305,822,588,709,161,198,326,826,673,468,761,
900,502,992,289,961,388,599,255,331,516,019,680,797,400,018,727,050,910,362,
470,687,169,353,999,381,998,462,074,155,874,020,739,751,334,201,414,377,547,
907,324,827,793,032,658,591,984,464,581,421,586,676,208,986,755,348,360,387,
612,233,730,340,755,072,946,519,179,754,080,453,722,515,942,796,049,895,864,
872,246,296,765,514,099,094,658,701,371,790,547,568,010,690,314,964,450,527,
382,816,778,133,988,910,328,809,866,008,430,368,148,418,606,951,080,868,037,
539,981,416,242,623,718,074,982,803,396,842,231,591,146,744,408,422,009,903,
791,536,718,034,796,194,109,717,284,281,913,977,236,297,864,280,736,382,424,
288,417,536,558,167,830,085,783,818,986,693,762,693,820,247,852,897,727,736,
969,087,456,274,757,526,878,746,186,165,347,546,424,562,724,268,212,602,111,
939,538,427,244,787,055,572,423,926,862,337,618,974,518,878,189,270,093,284,
044,489,315,950,954,861,722,357,486,656,682,680,191,261,997,374,090,676,088,
454,529,696,389,824,636,861,961,212,118,493,269,584,868,309,892,282,889,150,
796,547,065,533,545,994,162,270,677,313,407,938,803,021,914,844,662,200,850,
988,008,120,824,548,885,115,096,089,131,207,074,231,037,101,795,383,247,376,
531,427,560,536,231,149,499,486,174,099,517,711,912,975,112,712,088,045,270,
337,111,758,627,975,819,190,102,775,473,814,376,780,713,421,205,552,600,499,
810,664,315,026,857,603,697,198,238,426,015,001,030,602,707,229,156,534,331,
413,624,631,673,147,354,820,817,701,615,525,782,863,900,502,400,606,970,373,
964,515,638,396,977,207,492,623,253,972,640,782,969,905,192,133,804,304,143,
787,159,156,738,410,801,725,536,332,381,992,505,108,313,502,914,346,665,366,
975,782,710,690,643,044,151,941,281,993,764,507,554,051,389,772,264,171,888,
845,224,622,446,661,708,793,621,840,448,158,661,795,060,627,783,135,534,681,
618,678,263,070,978,712,395,812,740,408,003,560,012,864,733,968,675,347,032,
405,961,079,717,030,917,458,306,810,306,650,114,976,018,038,997,096,970,316,
767,438,858,370,526,740,708,754,599,206,831,565,643,267,466,304,732,021,479,
625,377,206,091,453,434,461,494,532,058,101,455,570,005,727,675,129,673,389,
056,709,751,311,470,827,146,285,460,030,054,318,946,569,821,651,136,197,350,
888,686,541,702,824,051,640,270,309,333,783,572,099,207,465,070,195,464,885,
988,855,940,257,040,963,103,743,232,161,768,372,691,184,578,872,658,538,109,
754,986,176,970,321,913,077,833,062,556,057,446,297,048,900,160,334,293,030,
102,229,082,026,814,012,044,582,982,642,306,930,337,779,516,715,506,788,757,
179,442,667,329,569,893,009,248,122,408,629,270,772,594,863,109,039,878,356,
166,560,480,988,962,828,748,377,276,832,222,284,519,185,047,435,115,377,217,
995,358,101,887,713,165,971,755,089,029,654,108,248,965,303,947,875,267,695,
875,559,894,657,907,612,552,215,821,333,706,791,096,980,366,290,317,545,130,
648,760,553,263,735,783,388,688,431,789,780,000,187,891,800,976,045,037,391,
817,496,328,942,041,555,431,050,876,618,715,181,235,109,502,235,716,539,001,
464,292,968,810,295,528,387,558,829,557,404,564,442,040,673,101,755,321,008,
541,643,153,734,232,324,038,757,482,640,542,011,591,073,105,219,615,316,602,
815,834,679,947,081,463,453,289,073,528,242,037,189,282,181,508,487,353,061,
778,007,955,736,086,631,764,710,684,113,618,266,495,244,685,946,841,768,704,
145,818,252,289,326,307,412,494,878,488,819,808,074,169,199,921,231,991,892,
322,321,122,144,255,772,248,349,096,427,933,276,765,613,829,351,604,117,926,
878,550,817,802,807,611,213,938,330,807,507,936,885,680,872,532,304,350,201,
590,866,981,678,417,132,346,053,031,784,136,807,438,102,037,687,853,109,245,
634,251,463,791,990,619,242,630,880,385,665,325,131,603,534,625,265,448,314,
915,234,897,530,880,615,772,868,027,961,874,864,243,321,892,008,919,012,301,
466,353,770,649,477,195,072,800,796,582,962,705,127,130,950,653,796,597,920,
164,838,399,532,522,220,301,565,483,915,664,834,660,975,996,468,863,389,438,
279,781,064,624,189,527,163,517,786,694,974,963,904,670,747,121,837,161,712,
697,043,756,761,893,178,047,775,467,727,796,097,155,647,648,354,930,949,481,
615,488,676,677,420,355,075,907,272,839,771,625,594,141,400,122,964,882,412,
697,815,726,681,267,808,039,423,233,312,987,725,183,196,188,017,991,392,573,
008,970,098,002,565,124,697,983,996,095,770,535,125,005,744,587,051,485,416,
354,090,115,697,086,829,275,104,502,436,493,079,184,589,457,497,732,086,255,
848,767,544,611,707,839,254,041,312,776,022,675,224,337,805,453,516,889,007,
472,874,788,194,542,851,271,766,657,917,252,478,584,169,979,648,127,124,712,
069,760,130,735,093,327,441,056,588,921,884,613,655,628,001,859,604,391,955,
638,645,025,892,117,748,075,928,925,932,762,834,260,838,014,873,631,880,404,
448,594,264,943,403,601,676,389,943,926,766,388,512,432,555,778,443,136,647,
278,726,545,704,125,072,960,363,737,308,180,672,200,700,948,746,491,275,787,
736,459,552,135,613,334,905,167,993,464,558,065,318,376,101,404,096,641,174,
050,596,271,603,214,405,955,485,912,332,339,733,864,158,743,273,803,638,303,
559,106,011,601,522,653,106,349,527,904,595,831,135,579,965,433,409,407,934,
802,803,051,953,583,231,562,161,818,697,254,516,689,677,547,300,623,994,699,
118,877,488,700,169,282,896,713,183,816,201,212,929,744,828,674,631,272,553,
936,765,114,393,824,394,791,751,089,145,260,249,241,441,526,561,727,339,720,
618,920,299,558,300,161,807,614,860,993,875,639,292,394,552,810,904,440,421,
091,251,643,719,900,164,095,099,649,147,781,318,399,100,662,449,847,620,658,
996,487,908,893,044,156,015,527,676,073,228,651,787,618,379,975,311,389,322,
977,957,726,076,944,378,810,493,423,842,453,078,117,350,925,205,658,664,623,
914,322,464,780,718,259,904,090,715,835,774,807,311,433,429,334,865,587,809,
557,820,531,736,025,968,707,773,676,117,261,566,491,186,918,193,259,008,066,
352,213,214,486,327,381,241,776,969,785,231,837,722,768,271,547,244,792,614,
048,304,920,230,654,773,975,181,531,002,031,381,441,742,564,331,162,274,388,
946,187,849,969,068,142,113,614,002,822,327,977,134,267,804,495,154,749,719,
626,862,374,626,222,818,763,489,618,861,881,986,530,994,887,367,387,044,723,
216,922,786,784,619,199,820,932,961,857,242,737,790,725,673,779,808,404,757,
252,986,319,883,907,788,319,461,794,636,527,766,792,464,129,589,160,132,026,
888,100,440,937,297,235,217,833,243,496,271,930,207,240,883,159,636,198,715,
147,679,654,327,559,653,695,810,457,697,819,225,927,832,461,128,089,011,378,
885,735,946,644,563,694,969,182,170,507,804,289,428,931,453,886,586,060,950,
409,601,027,503,992,320,852,230,151,035,875,797,157,727,545,831,841,740,224,
408,549,933,469,082,876,299,864,490,696,543,311,920,497,807,839,404,955,253,
888,052,251,183,404,381,100,862,971,487,513,462,402,679,308,159,066,314,040,
679,296,107,470,649,261,722,195,848,147,030,997,935,396,318,791,909,824,192,
182,084,156,069,032,235,038,996,097,613,861,492,214,078,608,563,183,055,114,
155,267,092,540,071,684,618,831,219,837,266,137,717,846,018,396,377,215,867,
901,606,852,325,565,559,387,036,801,387,417,605,877,460,122,080,279,032,458,
621,961,635,536,105,535,973,018,866,266,504,043,562,978,416,586,578,575,150,
788,207,553,951,695,428,017,530,232,509,928,426,749,852,260,156,156,979,481,
069,983,186,134,459,305,576,246,965,240,104,883,791,813,195,386,614,667,637,
807,489,117,741,640,842,698,594,489,465,921,302,529,310,917,529,432,400,252,
848,572,707,403,293,891,077,495,778,443,108,358,646,546,009,657,685,015,244,
964,123,840,045,925,003,874,071,814,046,338,254,294,232,495,720,310,465,504,
339,769,053,945,787,264,092,366,522,612,392,901,502,062,057,449,876,737,349,
379,069,461,088,179,735,072,509,170,399,262,915,056,045,306,619,831,500,173,
973,889,368,055,698,017,072,986,007,981,420,603,434,156,392,526,630,519,198,
197,649,016,032,358,986,591,095,164,710,642,005,749,911,592,615,297,114,888,
781,126,049,342,305,536,177,871,014,498,347,547,690,293,964,878,143,240,728,
289,469,298,902,235,972,906,615,787,997,345,620,517,925,275,641,113,095,269,
848,226,107,141,640,061,200,686,546,997,311,759,064,602,655,217,766,490,690,
577,143,657,620,034,290,371,639,418,627,876,581,966,865,712,774,656,497,233,
139,194,195,521,057,721,676,445,044,667,598,356,596,598,373,129,527,948,677,
924,168,175,839,750,673,950,908,708,580,768,201,235,633,190,750,710,904,906,
834,021,260,237,724,102,229,903,569,710,434,018,190,501,785,742,179,541,915,
706,352,056,129,857,623,784,232,030,288,715,345,738,385,364,355,370,425,650,
018,812,046,366,756,508,177,106,743,191,460,478,658,693,519,101,668,628,949,
712,330,623,325,325,480,669,877,692,948,087,942,654,609,129,825,350,988,952,
459,451,266,193,370,891,821,423,194,989,798,774,943,068,811,860,811,312,717,
230,233,586,765,915,207,258,758,541,356,778,590,030,958,574,952,901,071,607,
258,134,472,191,895,333,544,198,984,887,670,841,686,097,687,448,891,102,654,
952,017,787,135,404,150,630,483,938,632,117,888,077,532,387,630,498,088,736,
117,002,295,955,855,770,734,696,597,698,589,179,090,899,258,942,366,874,224,
911,355,488,016,891,624,883,675,839,512,757,416,805,039,054,392,153,510,584,
288,636,519,974,558,836,242,062,645,280,968,843,904,998,600,385,789,554,459,
841,231,720,189,200,583,579,423,568,101,848,463,992,287,938,478,610,915,072,
631,040,944,379,538,480,581,949,056,447,094,107,120,888,457,821,562,609,395,
589,384,328,014,462,457,359,498,404,114,319,156,123,587,246,259,417,825,395,
199,346,850,205,802,068,379,819,538,343,949,672,713,679,321,497,728,076,879,
520,855,916,753,811,897,360,721,111,764,600,088,058,485,880,449,824,267,472,
717,344,675,073,490,600,698,929,763,119,339,359,551,662,866,868,281,398,988,
571,699,931,803,620,286,686,875,411,120,837,690,544,952,963,146,804,328,642,
699,938,282,796,714,321,269,082,420,245,893,129,952,861,300,514,649,239,339,
930,236,220,156,052,399,041,373,567,461,223,620,414,203,274,210,054,746,861,
006,440,840,976,670,298,025,307,013,969,952,375,715,967,445,837,234,600,011,
528,603,472,923,709,395,784,000,312,498,500,513,184,572,051,519,116,080,783,
932,421,884,061,630,391,999,169,184,724,554,455,635,773,310,976,063,752,755,
183,234,825,538,839,434,703,678,314,231,917,608,895,055,443,786,514,731,012,
165,387,024,543,842,606,982,653,871,009,979,790,344,437,546,080,298,029,786,
347,116,798,445,609,511,462,050,647,224,983,567,279,230,518,589,544,829,556,
948,870,067,411,532,569,509,947,436,262,863,092,273,546,067,737,687,209,187,
512,477,314,981,409,184,388,159,740,874,977,401,908,299,310,348,808,216,676,
417,894,311,173,463,863,603,933,557,009,662,741,509,387,740,540,912,330,814,
689,169,415,835,739,307,346,585,351,851,797,309,615,517,197,056,948,125,421,
910,753,650,459,271,850,179,844,962,587,754,276,318,291,838,549,333,034,651,
196,678,889,151,057,286,855,146,594,820,200,954,121,847,112,196,432,534,501,
672,138,880,205,312,655,229,762,892,371,652,946,128,674,197,466,804,595,223,
155,543,631,760,250,702,991,243,716,211,103,887,925,737,663,612,526,503,156,
263,550,557,326,645,241,991,333,342,835,227,287,575,902,683,156,274,572,452,
533,049,105,442,207,469,026,243,394,162,471,231,518,569,308,567,651,632,287,
927,873,418,507,390,257,089,967,020,756,636,111,209,869,391,423,066,558,476,
196,831,989,203,065,717,564,162,869,807,847,595,638,798,045,917,845,520,643,
806,298,325,790,380,530,218,810,316,551,945,127,796,613,818,318,017,310,529,
485,612,174,365,182,486,530,099,846,518,768,747,827,175,189,955,116,125,461,
350,523,681,691,972,723,044,081,074,551,543,284,146,015,107,311,462,268,375,
513,816,478,109,270,616,891,289,670,808,013,548,369,464,072,328,632,387,945,
557,172,670,136,135,255,530,959,969,601,100,545,354,966,445,006,848,544,275,
659,050,537,972,401,042,976,784,026,902,022,644,920,198,856,935,330,989,568,
647,216,690,493,510,551,634,472,797,322,108,562,176,501,028,260,031,039,692,
130,674,625,613,453,695,180,522,065,352,200,560,638,748,748,005,618,888,821,
760,282,920,206,554,340,701,381,414,385,178,023,345,660,114,519,182,149,326,
997,700,662,769,016,000,796,257,174,071,047,265,491,169,433,493,264,915,446,
535,532,834,144,517,648,574,841,334,137,318,731,708,790,691,765,287,187,463,
496,491,914,684,452,382,250,593,514,830,411,516,143,701,752,923,967,531,643,
707,772,266,554,591,607,995,282,342,032,900,854,558,981,246,551,000,323,710,
318,525,170,043,061,608,031,874,975,281,247,488,565,135,643,618,008,590,667,
537,839,759,361,061,200,120,229,034,461,741,906,167,757,061,291,735,075,666,
010,368,617,440,602,679,558,333,517,164,899,961,804,249,881,251,672,211,028,
067,019,929,314,263,188,520,479,723,244,120,055,967,226,342,912,769,255,010,
385,577,893,639,524,779,414,154,739,225,933,729,033,439,489,023,241,617,264,
954,541,640,075,456,071,537,622,950,391,036,049,231,722,875,113,462,784,919,
533,268,140,567,697,061,845,878,039,389,758,318,013,903,727,459,617,237,063,
100,078,574,538,617,239,165,352,117,364,320,961,711,534,638,198,780,446,753,
241,884,079,507,343,842,211,124,789,273,550,761,415,797,068,468,330,933,406,
350,016,324,614,201,745,151,030,717,380,666,363,148,159,043,387,575,144,842,
886,809,801,125,194,055,532,910,884,156,399,478,570,557,734,358,488,789,563,
019,909,144,209,745,454,098,811,946,863,716,659,022,806,333,493,327,873,164,
192,503,691,126,381,984,891,375,306,144,775,066,964,572,174,425,786,405,115,
375,790,441,664,602,212,903,170,898,621,600,740,551,725,418,586,087,994,035,
071,730,479,052,952,827,412,773,325,635,192,827,379,572,653,594,186,285,876,
440,500,800,271,532,696,365,685,155,723,733,906,801,127,330,081,864,927,433,
712,749,450,226,888,172,601,134,406,950,754,347,233,447,256,756,808,377,779,
850,917,425,231,758,943,794,090,721,590,198,704,607,738,399,382,447,001,816,
324,222,299,514,041,991,926,904,251,430,728,713,779,833,711,230,052,413,579,
099,944,790,616,200,096,834,346,497,511,925,157,657,847,188,910,384,047,978,
134,387,667,751,019,688,793,568,652,711,623,532,761,522,359,155,200,187,985,
489,584,217,263,258,880,382,797,872,138,423,929,762,747,257,442,599,152,877,
922,535,788,988,022,132,700,252,105,932,298,775,661,795,198,338,762,510,872,
251,730,629,794,182,225,166,735,843,523,599,722,808,949,742,045,116,441,066,
704,215,395,251,182,995,291,741,492,051,175,437,205,885,560,663,553,303,977,
605,758,509,591,579,500,486,900,765,494,824,469,468,004,012,388,880,948,359,
041,877,997,370,979,337,476,482,944,627,780,484,196,782,347,096,093,938,540,
384,839,295,227,529,640,781,192,679,993,084,508,011,946,798,764,004,106,815,
840,254,093,079,822,106,275,876,430,498,173,027,630,885,377,121,385,571,697,
283,087,739,940,595,597,188,836,271,970,565,152,063,010,125,272,273,270,143,
030,037,226,256,043,618,647,870,298,605,760,971,692,790,645,248,355,156,851,
024,999,913,969,509,346,864,330,034,821,703,031,159,879,068,435,333,387,321,
453,978,845,729,710,943,423,535,748,277,796,588,991,746,293,197,846,713,179,
036,938,846,951,727,083,455,662,363,291,681,086,410,324,588,414,831,915,306,
116,995,966,360,915,387,531,620,331,068,627,814,901,440,823,182,078,429,921,
273,265,702,154,309,501,795,221,385,055,941,699,192,911,787,043,987,926,784,
782,944,515,389,755,155,731,793,829,323,680,357,313,160,505,306,247,192,066,
792,396,528,160,087,106,079,145,517,299,196,328,439,882,089,563,672,900,858,
820,285,089,905,043,457,760,455,531,088,503,906,352,538,273,270,974,510,533,
736,414,008,943,707,285,004,631,911,688,747,000,627,471,246,478,025,492,991,
282,082,695,603,539,356,418,294,480,991,315,675,358,107,827,251,303,756,433,
861,172,621,399,460,567,656,123,136,866,705,856,029,062,810,083,405,956,836,
831,034,071,382,150,609,714,444,095,932,476,029,947,065,158,341,743,108,449,
466,827,600,778,882,132,966,788,650,393,658,757,707,887,686,407,341,898,499,
671,868,425,552,305,164,599,122,794,252,214,197,267,035,442,194,981,952,587,
491,092,953,824,365,715,193,998,703,449,655,300,584,203,449,842,562,632,134,
433,453,849,091,689,687,753,154,224,989,996,385,973,600,935,430,727,697,123,
403,140,641,341,362,240,704,913,880,242,775,148,125,413,717,639,670,995,242,
694,778,178,637,822,098,095,066,702,687,966,973,456,256,299,002,933,848,505,
402,777,407,668,239,232,151,641,905,742,891,418,917,570,886,356,389,938,350,
399,827,042,911,010,274,930,021,462,417,740,642,000,875,430,292,821,049,436,
608,105,849,365,927,149,751,411,029,577,767,969,359,924,481,398,710,822,057,
362,744,025,144,884,630,869,679,568,243,046,860,664,939,148,005,494,271,590,
573,872,996,704,097,566,762,879,662,666,227,728,941,783,678,984,930,075,587,
224,610,168,407,449,765,663,915,778,905,355,929,946,803,260,137,101,474,880,
715,188,705,852,002,541,344,150,832,389,913,284,954,927,182,257,250,780,156,
924,675,654,561,696,529,359,154,304,765,911,166,473,061,430,237,753,523,111,
741,075,164,467,981,500,758,320,488,704,627,562,533,346,086,890,657,350,997,
364,217,097,721,060,301,306,235,399,444,119,248,354,025,014,462,317,767,270,
447,415,575,201,801,040,457,908,358,828,903,869,493,723,357,739,893,827,182,
856,387,447,712,319,713,084,591,398,388,769,833,452,985,065,754,455,143,783,
054,966,186,695,245,585,979,464,532,984,416,731,421,146,247,903,522,494,351,
059,591,699,088,402,609,073,905,165,202,266,007,368,550,292,952,633,647,341,
872,447,738,124,602,818,130,552,483,451,459,814,329,732,601,535,811,954,277,
278,478,363,618,140,850,246,609,119,010,731,781,229,218,037,882,432,834,075,
722,857,783,349,863,434,833,101,529,289,931,403,249,190,745,511,486,851,563,
516,728,846,808,399,491,134,334,049,804,178,314,251,164,291,931,668,565,897,
776,475,063,407,132,181,482,922,371,049,672,086,097,100,555,598,315,192,172,
013,713,736,365,579,724,542,754,537,522,363,784,266,320,011,193,061,919,804,
270,703,187,388,218,233,081,467,780,398,223,259,684,692,384,762,658,863,467,
290,420,560,197,077,719,998,128,272,864,901,538,817,043,018,787,129,294,265,
507,790,700,793,768,512,472,369,287,629,936,650,260,295,154,544,241,685,446,
050,533,784,257,449,921,374,675,966,356,328,152,469,425,283,769,058,505,723,
079,101,164,567,533,913,564,171,483,959,947,700,375,768,430,087,279,346,983,
842,690,643,949,344,637,983,707,433,601,267,568,095,167,173,158,916,831,841,
973,346,967,271,456,022,111,420,829,490,507,221,325,753,130,889,732,646,922,
645,890,351,643,449,913,168,446,189,404,240,207,004,995,406,188,544,435,530,
608,648,915,210,405,585,621,264,057,461,196,464,300,191,533,702,327,417,303,
991,691,379,369,837,715,437,253,569,854,931,812,091,591,118,097,364,791,928,
002,617,646,425,007,451,202,011,355,492,035,072,827,956,134,000,541,994,380,
021,370,131,471,593,246,274,110,223,234,626,600,276,633,028,345,359,644,109,
606,187,335,924,550,908,354,393,458,052,219,025,763,355,433,319,994,298,736,
390,288,802,279,376,784,652,150,447,458,178,745,204,830,939,851,309,463,353,
067,586,214,942,420,165,413,787,642,054,940,684,024,503,484,399,162,538,696,
395,146,860,416,144,190,101,444,020,800,870,091,523,354,044,952,248,148,190,
577,000,439,458,227,602,559,248,121,169,799,933,890,943,754,192,735,776,771,
437,528,070,705,909,543,790,661,992,239,171,526,355,710,848,707,025,322,997,
164,099,343,680,024,856,495,714,140,315,590,858,430,139,703,533,892,053,727,
723,817,240,212,941,502,107,021,807,298,403,588,024,083,042,828,564,261,309,
856,733,910,367,920,357,982,341,427,299,899,588,165,765,977,232,066,501,885,
506,710,503,719,079,919,337,626,214,890,627,172,926,192,792,976,098,074,903,
333,140,715,677,440,591,870,715,390,335,818,524,597,622,790,866,899,652,620,
153,400,942,475,733,470,086,751,301,254,857,287,310,380,086,677,753,357,604,
603,639,637,095,013,665,165,684,514,436,273,505,748,969,268,694,913,308,084,
743,275,878,736,730,159,808,290,270,922,265,649,066,778,515,921,164,521,048,
133,065,044,227,168,744,832,978,195,058,639,307,128,454,780,614,725,354,963,
419,796,213,800,790,906,055,165,879,847,648,905,481,177,494,965,697,412,593,
835,506,197,467,128,262,508,102,631,160,817,815,190,325,856,152,992,711,051,
063,236,731,778,866,165,443,954,337,995,011,120,663,815,853,641,479,195,556,
874,888,213,250,981,741,007,755,408,623,948,622,605,214,727,145,333,614,809,
590,742,297,921,081,944,354,789,112,664,049,275,186,192,791,100,248,445,176,
664,367,194,192,448,800,295,770,276,265,792,452,030,491,594,222,850,723,256,
427,804,467,480,708,377,218,633,047,084,791,297,679,421,223,162,306,249,426,
241,960,483,419,380,492,341,697,337,043,711,108,161,129,770,068,724,180,166,
717,665,132,923,616,746,074,247,688,899,892,170,240,964,442,184,788,059,654,
374,675,704,049,776,536,128,952,234,425,908,600,772,949,408,263,599,340,562,
659,752,857,066,215,172,283,847,390,161,828,890,667,201,240,448,660,226,034,
100,811,891,464,494,608,882,126,554,653,803,308,242,048,309,964,439,927,354,
393,521,851,783,459,781,159,184,310,403,034,559,625,431,895,550,705,315,228,
929,198,870,292,441,156,404,706,175,685,617,912,357,098,061,859,442,481,823,
271,607,702,681,323,372,247,733,704,724,509,524,519,402,802,250,915,233,006,
837,837,001,884,531,093,078,224,802,484,396,151,618,117,062,436,521,986,947,
881,628,462,877,495,539,376,286,194,778,526,725,099,386,645,939,851,987,169,
760,686,757,719,330,001,986,463,613,571,419,029,306,341,487,234,608,936,158,
414,169,747,654,795,860,549,529,224,554,388,115,814,582,767,401,485,911,076,
422,318,644,032,479,398,836,954,299,810,422,597,821,154,936,806,079,424,214,
958,879,563,061,727,360,111,812,006,088,480,362,198,023,099,735,475,822,664,
438,504,591,273,139,621,754,046,810,880,484,296,418,005,123,588,996,166,893,
251,572,205,239,115,871,884,658,758,486,342,518,733,342,276,209,142,037,278,
939,583,175,309,195,251,815,739,321,529,737,144,121,773,513,507,286,223,457,
691,740,610,989,954,182,599,411,128,987,960,969,851,192,090,807,183,375,020,
134,090,709,076,059,917,075,138,864,375,798,699,936,077,294,557,657,273,102,
750,815,155,367,409,088,172,373,277,359,456,661,003,945,812,860,505,485,200,
129,158,122,648,779,139,939,940,733,186,363,478,144,200,955,849,766,055,568,
354,517,602,830,937,879,113,128,792,849,831,581,650,481,934,580,293,362,633,
664,657,676,211,928,169,072,510,614,660,662,399,379,396,740,675,673,463,610,
772,784,595,125,056,860,053,446,708,441,402,979,634,936,905,148,575,025,996,
538,258,162,509,788,677,175,305,866,096,892,494,565,211,761,989,566,812,391,
335,935,045,798,609,316,192,543,782,073,836,053,786,451,083,248,910,784,885,
179,981,360,120,718,421,826,545,337,786,112,716,999,683,609,871,109,240,112,
104,453,429,999,471,227,910,570,154,939,207,799,611,617,005,353,659,011,710,
232,087,377,430,487,541,050,453,882,846,945,603,514,429,821,569,602,289,887,
283,048,446,762,321,687,948,300,691,028,254,857,636,225,630,086,140,155,700,
007,172,140,085,444,594,023,924,163,859,860,263,982,518,952,013,894,683,949,
441,730,274,129,714,404,308,102,363,263,348,939,384,433,568,136,249,630,065,
857,582,414,455,812,086,367,126,203,089,574,952,680,332,659,920,012,456,002,
120,730,199,786,336,778,640,751,309,793,680,886,044,708,765,183,948,013,669,
237,182,799,812,573,485,390,254,695,574,100,796,301,985,735,981,673,041,852,
793,002,507,090,869,351,772,398,397,020,570,079,518,576,990,852,529,395,082,
470,561,493,093,085,384,329,728,932,529,260,790,561,677,034,212,508,623,229,
270,972,382,903,424,893,988,497,933,145,793,714,809,612,736,819,685,878,111,
673,542,226,848,030,318,918,184,768,358,121,492,251,643,239,043,410,088,596,
157,727,984,687,125,705,272,334,495,745,956,855,891,839,327,829,703,153,109,
939,688,544,432,738,036,509,049,919,929,669,605,499,372,008,132,085,687,738,
059,926,684,223,146,817,306,260,709,394,373,586,064,835,286,633,137,664,150,
704,523,893,161,269,369,424,238,364,863,174,824,273,165,494,332,065,820,506,
871,534,623,458,000,051,856,940,537,348,070,631,501,531,884,820,710,027,681,
600,748,511,918,596,814,243,831,782,595,956,810,170,554,523,797,113,795,066,
638,601,669,698,712,361,964,918,325,477,800,894,537,835,496,066,763,228,432,
610,302,533,132,125,896,674,169,115,422,769,765,896,023,638,311,110,239,264,
465,173,784,940,668,649,540,924,544,810,229,033,937,685,631,079,323,412,931,
018,848,850,819,511,074,739,414,191,539,812,301,781,906,005,754,920,239,597,
394,470,041,145,474,252,293,055,411,990,096,077,865,522,755,159,049,827,645,
481,570,502,763,461,681,324,128,452,654,124,683,751,441,783,888,730,721,316,
704,190,271,631,700,223,430,496,427,926,198,150,030,793,757,763,418,201,452,
197,457,110,395,664,960,804,078,098,355,148,919,394,612,059,044,107,473,811,
906,573,773,828,500,275,290,470,609,021,709,064,150,307,023,608,832,215,737,
114,733,131,273,420,795,462,196,872,213,474,097,913,870,931,374,469,871,565,
884,692,472,537,180,297,916,433,481,627,476,155,126,898,070,460,472,768,461,
428,156,576,369,484,611,194,942,962,408,922,758,802,048,701,680,538,923,130,
658,309,667,772,816,186,146,332,509,229,078,296,670,645,112,762,316,367,745,
183,905,500,615,842,474,095,165,642,523,271,979,872,055,855,968,918,934,186,
555,579,277,375,959,394,100,724,301,277,090,936,297,166,629,725,439,719,545,
719,647,789,195,376,673,808,956,924,051,800,895,930,297,719,490,327,875,075,
305,263,784,804,045,421,842,303,276,899,370,528,870,955,894,030,796,369,315,
202,762,479,553,297,241,984,729,777,141,643,318,051,211,525,234,043,614,600,
288,858,104,318,403,823,696,843,954,515,034,171,509,434,412,648,619,995,557,
797,571,868,816,305,262,090,847,687,765,086,882,002,856,786,485,418,630,351,
324,689,924,157,903,107,667,989,867,903,832,613,977,853,050,106,189,849,289,
270,233,713,939,579,063,141,087,286,863,262,984,537,776,648,937,997,758,659,
285,555,245,627,681,088,140,897,757,124,519,080,141,954,987,486,737,479,752,
415,197,780,053,569,640,383,685,762,553,881,549,322,351,341,323,054,845,002,
404,794,060,440,639,609,720,667,050,134,461,347,836,971,586,355,488,126,522,
178,468,118,462,564,260,183,718,359,511,665,499,816,708,488,062,560,806,943,
832,523,147,590,857,785,379,052,201,584,019,721,588,485,305,130,870,732,138,
133,757,697,643,115,232,925,545,445,856,906,945,172,842,569,354,217,060,276,
882,727,678,857,342,563,799,476,387,749,164,762,924,488,461,926,224,176,644,
322,343,004,263,992,888,637,305,170,177,947,703,858,004,471,841,750,901,290,
559,854,798,687,179,206,236,908,109,544,905,557,942,372,727,268,590,520,946,
376,916,658,942,029,496,808,956,285,567,623,987,727,232,161,487,425,851,232,
336,158,490,136,445,711,788,224,378,568,261,375,903,899,212,152,775,938,698,
864,728,355,410,280,102,877,561,555,214,696,654,244,759,529,101,359,000,603,
081,453,552,155,126,060,926,848,888,776,634,675,732,547,522,174,003,041,422,
194,352,149,955,662,260,625,261,659,910,541,263,278,249,868,884,255,036,000,
687,497,132,537,512,122,248,010,068,213,234,122,897,546,730,889,611,680,103,
010,860,053,739,032,504,174,019,904,997,101,116,986,964,612,815,372,907,818,
763,001,928,740,588,378,965,595,130,169,993,346,430,350,044,122,784,021,064,
671,449,902,671,427,566,531,812,764,020,592,593,602,711,781,139,378,730,572,
384,363,474,934,019,566,664,867,659,634,305,479,540,181,418,394,465,717,711,
804,424,398,940,629,790,102,156,890,069,387,094,588,110,863,006,168,345,370,
053,650,745,157,199,775,234,918,663,393,046,685,638,538,266,029,906,195,619,
019,534,196,366,662,175,586,666,900,979,111,777,135,505,547,911,789,913,351,
313,250,177,213,358,162,912,219,430,727,323,987,569,262,721,512,332,178,172,
635,600,089,339,233,055,672,497,766,863,883,732,854,641,151,167,834,645,923,
106,356,001,734,274,768,337,360,957,102,042,426,309,288,285,032,402,785,922,
546,878,567,483,769,986,818,090,747,199,965,969,087,361,075,112,896,694,340,
985,792,955,507,873,559,139,537,360,827,882,865,908,507,706,398,603,784,000,
870,238,001,482,957,717,258,174,839,201,531,559,055,060,513,011,732,809,625,
481,484,394,558,071,421,846,378,637,682,565,586,609,482,643,634,815,710,824,
502,739,899,537,018,037,302,619,910,329,347,306,291,908,558,303,269,795,049,
224,683,726,850,672,264,939,202,052,746,784,615,530,489,951,054,985,616,104,
256,561,454,023,022,909,266,610,133,427,008,559,492,329,126,137,866,092,013,
266,399,832,524,332,524,368,791,785,568,989,934,952,255,747,852,709,277,661,
702,916,117,941,145,837,535,493,139,504,108,033,126,815,431,326,314,751,677,
949,127,095,123,464,781,108,022,491,650,283,325,392,878,286,443,962,832,522,
342,261,419,835,809,057,721,176,829,446,674,987,493,450,129,734,728,862,497,
712,429,114,648,709,966,264,462,624,792,025,264,925,433,686,366,089,831,013,
758,181,563,300,062,783,273,230,665,708,107,565,874,459,112,092,016,214,470,
257,112,753,785,525,166,836,058,183,249,019,132,925,261,628,618,107,857,365,
770,507,636,075,750,645,794,417,152,793,913,612,200,307,378,550,889,239,854,
997,423,003,451,269,107,243,107,095,803,578,835,217,022,338,433,258,649,646,
676,358,296,360,341,376,440,324,999,936,961,924,555,158,284,153,864,016,936,
979,653,874,076,963,808,788,658,711,546,858,030,217,678,638,157,085,698,608,
757,773,976,411,831,738,166,734,145,635,228,681,188,516,571,402,573,879,244,
038,510,223,422,632,008,649,102,330,579,583,007,205,523,685,277,874,763,188,
436,584,735,444,300,705,321,405,842,891,756,528,161,996,908,477,264,794,917,
364,253,755,712,977,964,559,277,089,930,483,562,962,497,767,745,547,834,737,
391,682,421,379,116,692,042,534,465,883,168,063,164,573,683,030,194,123,305,
287,969,472,005,149,374,625,926,829,199,774,572,655,890,184,359,796,951,261,
368,144,678,167,932,827,814,924,333,527,250,025,039,531,936,047,448,096,720,
362,202,425,506,482,051,254,073,571,415,428,148,754,935,104,097,075,100,556,
578,765,571,741,218,549,127,802,349,508,753,441,464,913,895,788,795,631,064,
714,496,223,835,610,093,101,752,693,034,142,008,558,296,164,430,558,318,385,
953,487,209,390,069,391,956,164,336,114,380,721,377,051,132,008,296,453,186,
479,023,338,747,469,090,000,459,305,325,918,224,534,331,442,837,970,974,178,
079,396,000,163,349,794,658,818,886,110,859,503,539,711,668,070,398,276,853,
597,132,999,912,915,741,472,313,218,855,430,133,477,880,345,820,406,316,774,
954,856,427,508,380,158,350,195,704,245,362,584,307,966,308,521,204,133,009,
552,990,577,704,086,325,167,015,098,131,657,336,681,134,741,683,765,778,359,
815,425,117,690,282,539,234,890,689,679,665,640,547,812,435,035,006,545,867,
342,244,359,707,472,456,120,883,235,813,260,068,157,943,917,620,270,104,919,
624,840,339,300,713,299,582,602,228,148,233,915,867,224,434,111,053,828,975,
999,450,616,342,925,340,344,965,889,686,148,722,270,920,743,857,591,247,126,
125,431,545,706,197,107,504,894,369,799,922,109,524,060,281,457,302,471,793,
212,900,882,283,535,166,313,729,383,291,561,782,563,477,706,831,514,803,672,
570,443,623,452,452,168,740,975,056,827,393,742,169,113,756,378,493,297,749,
234,130,262,219,947,710,732,868,881,532,945,792,450,518,182,296,030,689,953,
367,618,970,175,057,243,239,124,017,189,084,980,982,586,813,181,182,134,251,
378,426,063,499,602,849,166,400,938,284,008,891,145,777,032,006,386,291,322,
110,329,516,568,637,411,502,037,878,372,977,080,985,801,146,820,142,187,990,
468,822,804,251,850,796,781,974,322,459,924,277,357,141,148,289,819,803,045,
796,493,132,643,194,305,323,711,783,141,900,628,002,889,503,317,657,802,523,
818,445,805,975,645,814,138,200,804,761,873,396,632,167,731,390,831,803,493,
815,632,996,520,200,182,015,634,399,036,218,255,281,775,677,205,229,113,808,
166,510,384,822,508,164,969,672,634,336,309,152,996,859,103,463,203,785,761,
559,188,123,728,844,310,934,993,391,033,075,306,515,986,343,629,534,204,150,
160,576,961,256,272,413,513,210,024,507,889,548,477,592,504,044,698,178,063,
382,224,576,843,844,235,091,796,579,284,342,152,492,694,369,223,946,633,578,
964,090,110,071,681,667,080,199,276,580,185,690,786,708,561,467,803,162,059,
665,529,279,383,480,674,214,500,708,028,984,022,636,976,904,159,271,880,021,
150,345,941,649,851,281,966,360,671,708,841,814,347,668,472,923,854,827,944,
741,602,027,436,654,427,677,785,472,078,551,021,987,381,317,196,375,877,639,
740,280,687,102,193,920,520,393,542,573,304,144,522,552,126,963,340,529,840,
618,176,982,346,350,695,151,735,825,252,254,725,836,025,823,864,126,582,457,
153,032,538,286,569,169,378,931,616,474,800,282,438,777,753,678,503,824,358,
335,484,823,138,465,512,915,666,425,550,408,080,473,252,565,661,968,722,879,
475,580,577,830,686,936,261,610,782,459,912,431,462,398,871,686,303,207,483,
111,336,100,629,287,219,237,148,883,860,446,189,854,210,999,391,826,308,761,
542,171,998,538,589,554,905,348,396,053,553,550,688,499,731,020,610,722,181,
117,895,057,576,990,713,331,766,666,231,975,842,924,959,196,380,093,605,003,
661,145,548,846,422,589,255,772,563,594,838,791,125,086,462,432,697,499,860,
077,354,782,171,704,922,590,050,584,860,471,710,365,742,343,372,468,290,979,
905,445,147,858,026,698,469,400,973,565,687,850,636,968,265,218,438,154,678,
884,714,944,981,126,492,058,446,718,785,231,910,892,859,858,940,803,599,184,
672,971,945,092,054,906,283,070,962,876,377,599,702,148,865,617,699,402,103,
809,924,777,028,906,156,739,985,326,261,006,710,985,324,096,272,828,474,282,
754,916,865,148,138,412,491,026,893,313,608,206,308,914,965,972,710,467,850,
633,243,308,906,068,138,317,912,150,994,369,846,963,530,007,462,375,225,172,
450,805,453,249,028,893,275,897,192,145,113,952,610,217,402,567,753,221,778,
478,910,798,210,321,864,786,012,665,178,006,876,708,288,322,023,033,026,802,
061,672,273,711,944,237,032,710,088,730,718,201,541,411,293,239,798,498,035,
412,299,080,705,931,209,873,016,367,207,994,959,333,112,368,602,738,940,464,
674,933,857,625,789,605,158,909,066,113,621,816,303,162,207,905,388,839,049,
212,386,764,496,981,013,059,217,223,959,815,932,514,218,489,741,317,824,227,
544,584,218,159,258,427,559,295,888,779,144,502,418,488,542,580,896,790,375,
774,041,017,982,985,895,629,728,268,940,814,164,150,340,067,138,839,426,669,
398,571,014,325,726,368,715,892,633,189,196,405,989,606,725,299,836,953,845,
652,147,168,434,960,903,460,519,202,670,114,310,011,456,043,966,803,744,893,
426,945,948,483,237,911,592,357,525,110,833,846,586,535,264,185,806,939,297,
574,884,154,009,144,440,549,761,372,800,704,934,259,399,357,558,296,583,706,
513,196,470,837,932,865,907,817,752,198,383,303,677,409,964,354,443,423,799,
903,764,753,557,952,275,641,479,448,309,746,263,938,034,894,918,773,324,343,
868,579,811,161,621,996,549,928,646,043,249,955,003,093,418,519,392,989,154,
959,226,706,862,817,620,130,594,246,251,935,873,659,301,700,546,445,412,689,
483,913,676,965,796,349,575,975,153,290,458,044,864,253,137,434,068,801,368,
938,744,653,687,498,722,595,699,791,984,972,564,965,510,993,998,354,341,668,
324,153,661,173,754,984,596,441,286,817,373,063,321,897,215,603,064,684,071,
861,360,534,671,861,558,162,577,363,823,128,279,815,840,910,002,991,917,951,
287,464,134,720,989,290,603,468,231,375,010,852,821,388,123,872,493,609,240,
228,019,974,693,613,573,732,280,547,579,320,455,487,375,507,341,546,124,306,
896,982,257,299,544,053,871,465,297,296,094,831,357,907,863,156,723,070,026,
704,228,284,614,216,307,176,210,174,193,054,629,595,915,480,103,410,574,900,
233,535,762,206,450,891,996,785,906,340,169,307,319,820,533,032,041,907,481,
999,008,902,765,057,555,041,165,375,924,730,911,506,903,742,542,177,204,820,
592,217,375,060,440,033,216,498,298,494,888,687,637,665,077,816,610,053,509,
170,841,006,610,435,010,806,549,567,748,606,711,093,504,423,437,997,477,663,
809,584,600,646,219,468,933,123,399,840,660,467,279,745,198,689,027,844,333,
773,769,216,058,803,916,669,488,557,557,536,119,396,122,697,054,437,355,294,
866,809,379,163,002,832,933,439,363,952,710,344,588,429,603,793,458,616,590,
616,200,663,231,544,657,329,948,319,836,430,469,389,931,995,285,758,021,714,
332,000,425,302,896,832,370,110,833,199,018,513,678,293,647,364,186,243,397,
793,714,938,397,463,956,446,853,375,738,580,935,415,430,088,740,535,545,522,
216,810,569,980,192,730,972,073,150,068,301,849,190,540,057,580,543,052,761,
319,529,341,843,756,091,322,935,775,602,496,609,171,942,498,041,665,235,071,
238,332,116,156,540,892,498,013,323,655,316,871,782,230,695,096,003,718,436,
982,471,853,592,169,720,611,339,626,038,640,923,138,159,539,252,075,593,265,
946,107,387,137,141,760,375,308,532,976,099,882,327,131,705,907,730,471,480,
773,558,057,211,291,933,780,601,723,189,714,353,236,946,613,744,859,489,898,
386,447,187,046,938,417,425,827,268,591,709,516,945,900,804,459,300,042,385,
364,870,731,314,037,280,712,418,333,352,577,539,978,324,765,302,991,540,299,
808,010,480,505,576,038,932,069,309,637,791,901,588,587,665,768,974,064,525,
312,729,751,259,385,646,445,772,336,108,812,907,577,660,727,135,346,015,414,
447,104,058,054,291,817,009,039,811,112,990,835,603,450,937,684,361,600,481,
841,348,933,255,818,581,179,670,344,619,431,072,237,189,992,020,489,207,391,
857,635,110,966,882,008,259,780,720,595,819,302,146,002,985,406,875,515,438,
544,558,921,397,617,284,575,978,700,724,236,312,496,253,564,928,881,362,860,
330,493,501,723,428,262,549,439,559,747,191,668,273,728,451,323,503,649,946,
534,450,696,337,265,268,029,782,231,094,023,797,441,680,369,975,314,745,725,
508,971,208,107,760,194,607,858,783,925,746,188,473,044,242,959,931,290,164,
113,198,111,399,897,764,150,094,481,420,403,166,031,972,406,673,047,270,100,
614,606,708,562,251,374,489,981,577,795,580,280,073,388,689,539,108,897,730,
499,957,983,624,382,062,578,267,995,286,519,429,700,635,220,933,824,180,803,
700,128,181,247,769,751,652,109,730,803,793,903,476,540,024,354,537,312,474,
759,625,270,201,276,712,568,163,150,383,849,304,656,070,266,031,204,944,879,
099,043,923,506,126,253,808,198,904,979,369,396,000,697,424,785,080,391,976,
105,087,580,170,890,714,559,469,731,372,624,180,540,966,514,591,566,166,183,
273,264,254,615,016,129,246,043,714,653,303,644,970,911,174,285,096,554,436,
839,370,883,578,038,671,509,344,533,643,589,444,643,353,710,587,653,899,210,
309,411,585,424,538,911,834,723,358,195,268,099,677,797,510,382,955,949,509,
760,130,893,957,748,329,318,654,196,251,668,699,705,047,125,601,228,112,422,
291,129,461,127,168,138,926,549,634,576,012,958,022,092,871,769,298,920,864,
071,433,079,632,468,397,757,243,549,691,807,632,206,382,590,975,755,454,638,
202,288,286,595,319,197,312,555,748,745,904,741,067,935,361,937,083,047,969,
256,239,170,537,633,023,575,517,798,542,246,082,281,654,308,338,761,060,295,
061,342,116,727,286,838,483,380,123,347,324,215,645,396,744,887,685,026,848,
922,072,949,525,944,652,947,556,913,299,868,632,161,767,906,939,734,430,928,
924,231,116,151,239,055,997,851,535,567,906,649,294,904,700,437,664,217,610,
446,717,190,634,115,493,858,733,520,701,092,012,473,730,576,972,765,787,744,
900,487,096,529,783,270,288,290,269,656,895,524,674,133,394,528,852,895,036,
126,391,570,907,908,244,409,989,308,551,358,363,486,184,442,598,106,909,381,
508,953,153,218,933,150,069,719,879,667,423,663,005,841,509,430,670,440,914,
230,837,783,395,197,299,320,317,430,453,424,549,068,089,699,214,881,087,705,
084,652,731,239,973,061,068,108,086,023,902,472,476,351,892,775,531,172,443,
850,804,475,243,061,490,633,562,624,846,431,751,051,074,907,935,162,541,089,
950,502,979,967,682,897,973,706,660,250,523,372,301,822,917,627,852,425,895,
404,495,841,964,483,402,588,817,544,326,872,653,999,836,457,657,065,465,907,
602,683,277,816,202,456,207,276,834,505,364,758,247,723,416,478,647,882,345,
988,852,065,562,729,531,689,899,499,976,739,659,008,338,634,673,412,106,693,
740,571,595,295,163,658,518,172,178,667,158,958,525,177,367,810,977,467,885,
632,780,349,911,690,402,375,779,941,534,104,101,601,884,318,024,854,558,079,
275,276,589,374,532,235,358,020,416,515,004,552,376,855,549,235,142,338,134,
106,511,532,250,931,984,128,141,890,535,171,032,213,119,335,486,997,178,689,
908,099,232,259,180,542,179,483,192,064,044,869,595,729,742,754,165,744,638,
621,191,384,601,460,004,368,370,131,638,012,013,519,091,058,566,114,613,256,
121,021,821,742,169,875,597,275,927,037,225,746,386,319,123,138,722,119,979,
223,075,722,637,175,284,695,815,906,224,907,811,028,624,152,805,367,242,126,
948,835,944,249,235,254,892,394,917,560,095,122,977,609,607,340,320,655,344,
074,785,679,504,562,655,163,933,245,916,586,606,196,649,164,576,475,482,741,
725,998,893,614,495,195,149,335,668,395,853,116,925,110,317,915,163,549,065,
658,959,581,381,781,584,072,393,779,874,034,071,067,070,950,255,128,330,720,
909,316,005,110,909,990,543,001,483,068,011,035,010,146,423,550,228,876,697,
366,505,806,524,882,855,720,950,192,273,845,432,963,987,666,166,767,145,634,
611,893,834,271,001,186,876,075,425,872,407,436,803,775,357,882,290,907,945,
381,643,443,282,300,132,005,718,286,266,912,033,195,019,875,009,745,351,950,
285,489,048,895,879,394,441,055,649,501,176,699,077,179,741,970,943,173,450,
965,561,822,708,552,434,320,873,903,673,939,425,554,903,289,630,255,584,450,
365,363,370,704,556,070,376,901,974,172,764,458,384,560,690,318,672,268,312,
592,034,340,490,616,338,356,073,817,459,875,301,116,651,868,426,931,554,230,
366,443,878,767,258,157,039,141,965,033,461,769,575,400,695,128,119,834,186,
781,435,345,964,079,024,899,346,771,418,738,259,270,913,804,481,164,487,306,
946,346,394,840,989,271,979,062,429,129,639,031,314,218,055,939,271,378,122,
344,256,694,366,235,472,423,869,875,413,938,672,081,326,509,286,875,426,801,
409,583,672,890,877,731,164,342,705,723,914,101,763,145,332,247,856,095,627,
479,887,338,066,494,542,302,614,388,604,316,020,528,507,462,129,484,315,982,
516,268,858,041,197,256,363,788,087,407,449,953,744,280,513,339,209,099,363,
742,581,569,960,583,181,935,108,238,986,289,107,422,400,635,300,911,253,562,
566,376,387,571,364,622,768,231,658,066,045,023,958,830,883,842,335,761,765,
720,449,438,284,223,041,822,280,491,907,008,333,878,043,664,471,170,871,526,
618,220,759,255,628,972,827,057,242,111,501,368,876,483,458,304,482,361,811,
792,573,534,959,294,087,880,830,257,603,119,640,167,884,200,143,167,553,896,
642,927,120,492,425,456,767,630,627,752,649,412,544,920,596,607,222,285,606,
650,482,319,591,393,218,801,402,356,725,993,535,455,222,140,819,085,989,026,
241,675,432,813,080,426,999,033,538,399,118,069,807,615,805,910,513,188,452,
741,216,864,312,226,650,914,629,483,264,872,845,527,107,865,602,541,789,883,
922,709,998,081,463,356,060,348,353,282,549,346,937,520,347,454,322,155,194,
365,181,589,711,865,261,664,948,853,306,595,667,007,076,555,751,605,279,991,
966,077,084,794,207,744,659,907,478,543,172,802,570,341,410,307,784,356,905,
052,666,549,147,410,029,489,250,211,616,491,832,621,813,724,436,177,174,042,
160,824,623,435,460,674,559,743,954,164,537,408,441,024,468,669,820,704,244,
571,374,375,879,174,056,753,188,184,751,133,825,187,800,777,639,666,260,524,
772,050,122,266,780,898,499,585,164,137,987,442,367,498,117,264,941,335,930,
146,380,839,743,492,162,583,946,127,137,269,675,716,779,344,473,269,945,179,
007,793,385,667,895,767,138,027,662,330,283,831,593,253,824,845,577,118,576,
201,594,321,965,815,108,235,626,781,710,004,112,684,043,095,306,863,903,218,
794,132,197,521,537,807,284,210,963,843,475,126,600,091,122,244,317,874,160,
025,763,240,834,714,655,528,301,150,692,594,428,213,668,671,342,796,845,616,
661,305,007,136,717,573,891,772,798,416,590,324,570,819,152,699,701,299,191,
052,432,968,759,092,549,180,845,158,632,111,741,956,669,818,342,908,263,202,
231,114,974,292,159,606,969,997,729,007,640,158,056,369,652,828,282,806,939,
870,512,882,638,471,500,307,599,581,967,822,706,484,439,660,641,862,475,651,
653,429,872,073,583,524,413,195,958,773,368,319,158,319,195,684,561,757,945,
172,144,268,894,762,040,232,137,283,939,588,298,644,638,819,992,284,012,550,
725,114,239,145,711,069,785,657,432,361,144,560,507,237,832,661,939,171,874,
232,062,640,042,841,488,343,186,120,166,131,107,140,436,043,808,993,900,666,
567,999,217,489,502,902,652,750,677,452,357,112,591,198,761,731,182,944,927,
162,898,046,928,406,289,101,225,594,999,318,305,207,939,803,581,203,958,845,
983,107,314,135,770,866,655,615,307,004,074,003,026,689,084,253,649,679,648,
496,992,943,274,780,421,336,672,672,960,205,139,506,726,997,232,815,623,399,
689,091,218,998,720,519,568,427,130,974,920,341,108,642,853,658,080,478,671,
104,064,882,295,233,273,571,586,450,333,707,948,988,031,016,979,246,332,993,
852,963,417,901,911,321,864,021,355,880,045,174,329,500,600,877,470,864,677,
987,749,834,923,043,757,321,630,288,290,415,546,965,239,379,534,267,718,692,
092,874,772,396,621,966,853,070,344,767,686,652,168,638,383,339,969,669,584,
472,698,049,519,646,272,547,993,882,465,208,953,637,777,474,320,833,268,591,
674,939,299,282,502,397,214,919,830,863,278,175,865,271,859,691,264,859,274,
623,591,197,488,189,688,520,228,076,188,890,518,079,231,742,510,703,753,137,
240,189,424,351,636,479,446,238,052,897,720,570,972,997,832,039,679,042,675,
426,074,874,285,116,895,020,893,391,930,211,706,540,121,403,036,446,613,297,
567,124,696,577,871,897,759,600,658,358,772,138,565,496,566,056,583,743,176,
017,211,803,236,765,923,053,627,065,800,713,461,406,955,110,767,119,638,739,
786,065,532,091,420,066,859,560,952,301,195,904,665,232,889,237,645,893,469,
866,916,608,457,378,537,793,299,938,934,872,723,685,094,939,814,062,227,441,
014,202,375,293,886,104,682,674,712,011,102,391,267,676,558,026,511,936,492,
145,855,329,377,810,439,209,882,475,840,640,728,655,386,195,990,905,514,031,
163,321,156,735,151,048,818,658,256,927,124,448,758,163,809,122,229,417,882,
001,787,273,426,382,723,060,937,054,532,638,709,434,359,495,487,190,451,196,
010,515,148,066,588,850,657,022,993,013,021,885,685,791,764,665,892,661,944,
077,521,758,024,250,031,848,546,203,213,115,122,162,529,217,838,198,499,234,
378,441,622,066,348,188,816,610,748,297,323,633,766,288,317,905,681,009,273,
180,435,726,500,433,173,099,475,800,142,075,002,966,501,165,079,240,246,234,
954,416,409,855,302,588,776,310,899,566,478,539,132,245,164,284,400,410,620,
937,778,650,024,672,473,678,115,798,891,471,178,150,410,052,689,071,047,458,
914,294,214,341,393,118,086,427,332,422,409,884,213,624,136,965,337,302,703,
184,249,613,053,527,490,287,501,109,732,188,223,040,243,292,012,755,257,024,
085,363,028,367,493,949,832,397,172,135,780,890,824,136,300,908,326,742,701,
252,058,117,274,911,092,442,578,001,272,068,662,057,562,036,101,941,395,714,
897,064,550,800,787,513,590,918,608,402,093,529,710,471,906,486,387,302,285,
428,668,455,656,756,112,662,139,360,244,266,908,196,461,837,478,326,624,420,
519,858,035,120,183,330,673,220,675,596,111,901,288,663,265,179,009,095,448,
888,702,645,805,949,721,109,679,428,303,959,361,145,996,725,700,383,240,983,
008,988,739,806,385,262,253,491,652,322,717,133,258,684,239,946,319,024,101,
190,452,760,212,426,736,245,085,414,811,205,583,439,601,181,535,482,432,949,
345,871,690,537,026,889,234,232,651,549,682,579,744,001,405,522,315,197,794,
051,688,858,791,891,100,622,906,501,169,628,430,388,661,861,607,431,688,061,
130,734,882,891,041,292,697,039,595,266,701,173,117,849,088,817,440,600,305,
473,048,153,470,935,034,132,267,581,752,813,241,489,327,693,214,407,058,331,
956,854,555,740,864,614,727,034,529,589,777,967,187,032,347,014,010,123,582,
226,949,606,490,524,801,099,420,835,009,996,436,312,586,986,296,048,973,640,
057,070,832,128,565,645,702,486,711,563,468,000,371,119,670,633,900,080,543,
993,729,365,337,624,012,702,882,131,181,052,786,759,554,067,604,396,283,483,
700,264,549,629,374,508,625,988,520,543,808,032,928,302,645,295,100,385,726,
483,122,192,620,967,228,351,882,149,229,209,381,861,652,751,971,279,533,522,
061,165,450,711,218,500,452,186,047,743,675,249,626,307,987,417,811,626,906,
791,981,228,955,234,405,923,636,028,519,864,708,435,358,294,056,754,788,082,
665,700,249,345,741,161,201,179,547,384,385,382,263,275,048,884,932,086,700,
454,812,498,792,064,576,357,572,546,182,018,368,025,464,116,726,030,352,687,
488,713,040,690,030,046,023,679,843,746,365,510,303,905,302,752,743,480,152,
656,105,768,673,490,181,475,404,213,163,680,898,103,174,200,744,444,153,939,
289,247,649,122,664,813,632,271,138,752,915,617,781,517,487,156,956,392,247,
385,329,264,479,754,862,706,999,738,019,013,880,913,038,868,297,786,511,391,
681,066,291,989,636,102,585,880,701,561,744,163,364,671,493,083,353,421,438,
524,226,378,166,486,472,238,587,661,438,138,128,997,073,709,470,424,500,360,
697,389,656,442,334,088,802,815,344,972,305,444,077,602,259,361,579,226,605,
496,371,687,138,962,273,759,702,049,562,324,300,293,624,940,725,778,729,087,
437,652,909,779,137,314,313,254,392,101,068,687,298,855,821,744,348,091,242,
573,340,784,601,883,690,594,112,671,906,502,845,509,923,322,343,332,572,088,
372,485,886,987,869,489,099,785,791,887,532,296,950,158,846,363,544,657,660,
797,545,185,769,512,693,267,525,312,204,015,811,427,991,009,471,994,291,158,
303,704,478,149,787,912,294,138,982,938,294,795,943,912,174,583,256,166,382,
076,386,411,098,231,143,017,878,060,497,868,210,182,054,810,384,875,956,911,
040,207,381,296,783,777,782,360,296,331,035,324,793,603,255,243,503,655,241,
984,176,152,187,114,704,021,867,864,079,023,036,342,446,935,911,836,898,666,
103,771,582,808,989,607,561,855,070,005,265,509,864,631,850,943,757,669,405,
677,501,243,391,413,775,241,844,078,115,145,044,628,758,299,801,936,554,884,
448,061,408,878,744,898,952,760,664,251,191,026,250,475,251,786,837,595,858,
917,757,814,337,551,595,003,363,024,646,301,246,653,608,938,090,642,600,927,
961,852,738,655,672,576,599,367,537,968,256,020,195,502,641,602,103,689,205,
507,568,289,932,410,956,864,173,203,262,298,700,236,279,309,844,371,086,575,
259,293,622,453,109,363,183,700,990,747,304,227,876,625,232,241,056,214,047,
964,315,266,579,650,141,224,676,500,157,772,645,101,961,898,737,381,580,859,
040,809,120,769,141,230,868,774,396,709,261,320,467,323,367,257,370,453,925,
485,883,431,982,552,924,196,565,939,284,918,557,446,824,801,070,156,697,889,
484,210,383,447,894,927,051,528,999,182,680,996,841,007,596,766,313,617,100,
354,026,927,724,191,101,261,151,230,455,473,831,998,308,115,316,719,141,676,
932,598,218,867,395,218,247,180,410,387,443,778,472,097,187,481,244,365,162,
307,224,021,960,669,130,271,844,890,465,983,587,914,067,589,245,048,577,925,
070,744,246,041,722,468,890,634,936,363,883,328,572,458,435,720,448,747,982,
250,739,019,824,826,010,357,344,025,540,690,651,273,029,121,689,110,571,625,
462,360,609,458,169,786,450,838,813,680,048,777,991,129,605,004,708,830,565,
009,461,322,863,840,570,593,250,957,024,542,796,861,109,442,763,155,713,949,
937,855,677,480,102,444,793,801,713,800,084,717,609,825,179,750,916,175,122,
950,776,159,711,738,262,508,900,113,592,824,282,445,734,539,418,443,697,274,
084,438,946,745,851,128,097,175,120,306,454,189,771,415,818,680,723,383,327,
076,644,557,291,930,805,822,957,392,870,685,399,091,344,890,653,169,273,669,
477,530,124,400,714,923,043,313,338,913,966,275,179,101,391,372,014,893,194,
378,456,031,323,490,932,877,080,408,082,724,736,705,147,702,074,848,366,055,
911,435,575,901,577,497,237,169,254,875,451,789,758,314,677,816,756,658,910,
275,807,532,489,405,898,598,606,431,251,848,835,121,310,372,443,867,543,215,
823,673,433,542,007,593,406,374,108,299,089,727,358,218,263,995,951,434,178,
495,411,779,583,114,483,411,353,292,553,055,476,718,043,226,266,594,225,999,
503,004,487,541,361,358,911,000,966,473,730,634,966,828,942,401,579,592,056,
665,266,589,825,709,938,702,458,973,001,801,120,808,899,672,661,432,189,675,
431,020,623,904,287,735,506,642,251,578,656,445,468,125,618,329,399,581,366,
519,883,344,702,706,169,631,941,259,849,622,386,282,148,817,513,739,166,556,
031,150,443,094,346,446,171,087,975,655,436,592,188,041,889,062,270,061,529,
482,642,349,837,174,901,980,854,666,169,827,086,800,128,613,894,488,128,232,
442,793,178,017,696,158,879,930,515,218,894,765,787,582,954,236,942,649,672,
447,785,169,798,769,549,999,707,746,033,202,677,050,437,299,983,761,150,619,
142,711,210,448,240,721,476,753,984,671,099,634,734,935,562,216,870,981,312,
401,421,976,745,256,097,552,962,542,741,923,079,130,355,899,906,386,959,479,
209,399,777,470,620,982,244,564,586,571,059,931,708,384,574,304,525,476,272,
918,748,964,979,328,470,732,433,442,490,403,215,083,219,843,292,000,227,501,
871,333,390,904,139,272,114,107,223,428,213,358,364,443,158,629,429,456,503,
417,296,854,136,846,781,947,504,599,352,225,048,045,228,101,081,912,792,049,
698,018,589,632,387,814,506,916,856,264,745,650,061,352,957,989,185,369,260,
847,923,303,707,824,264,000,568,150,930,139,159,684,723,977,801,738,955,966,
877,970,794,690,160,850,633,511,039,746,557,320,620,807,099,494,993,251,091,
597,947,529,164,272,633,044,597,677,350,340,690,352,496,127,098,793,531,001,
096,586,744,202,432,355,405,142,872,323,210,667,148,885,301,184,137,334,549,
355,221,460,183,613,615,994,985,717,350,194,863,199,481,877,877,243,828,560,
478,222,930,168,829,182,217,288,423,455,251,076,003,615,343,548,823,786,098,
229,468,452,436,579,702,203,653,560,894,891,405,110,628,088,625,163,385,749,
835,240,266,078,564,351,440,056,358,021,760,097,449,659,786,596,594,779,566,
633,548,725,391,989,509,895,868,215,702,203,081,157,531,254,628,787,308,767,
866,052,993,057,468,871,736,142,743,341,775,458,997,774,187,206,097,705,353,
030,471,336,427,294,545,505,540,026,375,953,044,130,999,049,565,882,600,229,
400,900,551,796,492,709,839,049,116,971,324,569,590,955,343,358,420,460,409,
737,999,319,810,929,901,670,921,979,968,246,014,939,046,818,579,706,394,057,
218,595,321,823,270,040,568,500,544,090,706,786,666,013,646,492,166,635,593,
839,193,837,982,911,833,760,753,746,517,305,264,638,617,155,483,669,598,324,
217,976,079,779,133,655,572,883,587,317,889,349,156,499,510,279,597,766,671,
282,913,701,234,958,049,603,748,017,870,878,213,044,547,301,217,121,313,125,
209,849,244,749,091,773,270,504,488,683,222,304,945,882,158,159,472,131,736,
362,220,628,405,736,695,362,126,924,165,804,621,915,908,239,512,786,378,171,
851,296,954,987,435,791,666,716,797,854,498,148,173,456,691,357,552,727,822,
082,451,454,298,101,643,141,074,047,969,939,368,555,445,108,818,440,220,985,
764,979,611,398,441,146,487,440,816,954,427,899,262,072,794,964,721,384,587,
963,230,194,514,241,321,836,026,019,404,118,674,482,141,870,216,266,195,421,
973,703,940,655,710,575,714,789,154,711,149,659,118,971,737,322,163,780,607,
458,920,555,094,336,187,464,383,346,122,455,642,886,683,630,660,475,420,141,
384,468,321,676,831,458,195,961,170,441,302,442,216,806,392,164,799,853,574,
251,314,755,921,342,804,950,295,506,749,678,839,581,610,045,827,868,073,424,
290,335,305,738,440,362,416,260,554,047,911,478,936,982,717,616,402,763,577,
684,840,000,000,578,589,007,930,253,112,726,242,576,649,804,639,422,972,094,
003,377,344,696,430,329,245,649,931,728,491,560,862,536,647,103,135,628,994,
177,987,133,263,864,593,595,194,993,234,622,815,414,354,598,841,494,925,972,
665,434,005,944,194,276,601,351,627,257,229,967,300,442,808,465,962,959,994,
235,486,064,519,285,092,130,879,763,104,064,330,891,256,480,950,468,075,002,
913,341,464,460,630,854,984,581,637,106,085,535,664,336,726,550,211,179,007,
807,232,548,429,179,002,007,400,101,398,889,331,869,737,344,719,769,550,264,
965,661,258,886,266,783,555,916,679,845,956,635,927,205,737,537,726,844,794,
708,124,736,082,671,664,882,105,462,875,550,967,182,602,021,410,598,002,841,
645,165,227,325,226,324,311,382,933,686,099,416,644,743,263,150,617,062,427,
330,387,794,220,514,423,948,913,330,595,746,437,536,499,814,371,261,977,315,
271,610,544,303,218,126,333,245,841,057,007,338,629,529,987,576,203,574,515,
484,007,504,996,742,069,905,913,914,390,882,643,658,697,553,233,669,409,334,
051,471,514,400,982,871,204,283,199,403,927,737,153,243,228,619,830,054,938,
611,399,441,110,857,780,979,938,506,241,943,565,023,810,110,464,455,491,903,
095,375,836,961,169,509,139,702,627,684,310,875,186,165,407,076,203,911,843,
792,546,905,019,058,439,682,844,982,857,097,080,241,975,805,862,739,359,245,
885,549,984,279,489,856,254,449,478,589,558,533,526,981,920,034,094,963,900,
164,206,145,912,178,539,809,835,311,135,088,645,878,338,285,978,032,596,826,
621,136,327,301,525,582,384,697,774,980,477,571,762,286,836,466,654,241,806,
635,629,413,982,652,440,582,308,184,031,689,757,786,129,835,676,674,617,276,
018,074,525,274,466,765,056,673,331,493,373,746,135,540,984,946,377,474,493,
341,586,911,425,639,958,576,574,118,662,284,309,616,474,717,716,086,686,136,
059,771,193,248,957,180,727,874,653,371,556,842,775,887,613,573,621,829,903,
710,596,506,272,873,906,815,916,446,554,512,792,110,110,956,457,376,691,731,
753,390,600,315,595,140,069,199,528,436,807,047,760,747,240,015,060,302,706,
978,484,408,123,735,393,918,673,156,248,372,973,144,434,357,746,997,112,572,
075,827,585,068,290,393,156,846,142,002,628,928,053,774,772,535,740,077,372,
152,128,045,527,612,212,137,186,375,877,207,623,346,268,991,347,424,774,336,
217,591,339,439,493,794,252,164,789,515,218,743,987,513,576,723,038,360,704,
420,826,869,059,243,149,555,285,841,864,408,911,830,500,185,420,245,088,091,
492,720,627,367,788,370,051,912,288,560,500,687,113,729,945,492,965,877,785,
529,620,136,208,006,619,300,340,642,783,061,028,245,946,998,056,139,238,991,
192,389,607,176,177,553,178,091,658,493,904,194,850,701,414,009,233,131,729,
436,056,250,999,949,685,232,505,258,908,009,742,473,215,950,901,457,675,893,
523,310,171,192,153,586,633,054,938,048,613,527,534,540,856,898,590,428,828,
952,016,856,016,354,508,474,854,534,921,636,425,265,778,486,929,677,423,691,
466,824,429,865,553,868,743,304,155,821,199,688,329,833,487,250,258,703,311,
166,197,051,239,382,032,775,006,632,830,952,984,766,943,814,150,123,886,981,
462,980,355,965,637,743,457,652,068,132,180,888,477,175,448,686,678,012,461,
956,596,304,124,187,276,588,348,934,115,144,664,474,489,372,091,133,423,637,
788,737,283,801,188,105,107,679,680,578,140,182,712,458,670,845,765,177,682,
665,532,171,183,426,409,030,832,824,169,437,559,605,419,131,675,706,929,458,
439,501,629,743,727,010,464,752,223,953,948,767,404,174,680,238,097,651,449,
745,626,064,489,308,736,343,859,155,003,289,788,836,634,467,976,328,272,808,
416,340,403,469,034,450,721,326,880,818,613,464,906,483,819,507,389,554,501,
505,135,645,226,305,730,882,030,688,035,860,450,167,636,132,872,550,052,421,
600,546,654,944,274,361,050,076,119,930,417,437,816,895,363,126,060,056,812,
636,371,591,355,041,693,182,035,231,834,338,429,727,605,754,562,336,041,071,
286,582,494,663,183,898,479,949,287,653,750,273,596,908,363,850,164,737,774,
440,676,469,225,482,238,791,281,992,027,878,418,598,212,599,311,374,893,841,
760,610,170,478,501,047,419,194,437,502,796,280,491,481,190,474,197,282,796,
356,524,382,227,601,699,956,435,355,448,926,900,043,862,971,924,852,646,923,
616,877,202,011,841,990,140,707,541,988,488,315,466,305,723,245,807,708,452,
819,981,292,713,420,171,081,251,501,724,819,391,447,638,765,730,630,456,364,
947,917,777,142,053,087,153,998,130,674,780,460,537,431,751,661,522,825,966,
560,924,551,570,035,775,159,708,789,481,504,644,042,159,477,480,354,843,951,
200,607,244,973,177,046,425,077,239,111,530,973,957,342,973,049,411,508,864,
894,162,623,997,541,997,622,935,646,126,152,099,336,759,074,055,159,864,806,
845,035,360,335,012,784,304,559,122,862,147,410,625,482,292,473,545,211,233,
389,777,521,480,944,543,452,762,468,084,970,472,519,407,732,411,315,066,981,
377,202,378,170,352,718,036,585,394,930,992,391,565,664,230,945,500,321,854,
302,990,780,469,875,082,113,729,857,381,670,060,940,795,808,831,980,220,698,
841,521,248,495,108,090,498,528,760,178,788,480,536,958,167,155,646,374,671,
730,492,072,831,310,999,184,230,762,042,756,931,303,807,336,024,341,265,141,
532,860,937,718,912,881,452,663,172,836,034,810,789,821,608,620,901,253,307,
732,701,123,375,460,070,316,824,578,987,322,197,099,800,219,739,790,356,360,
442,953,374,672,309,251,880,611,344,739,542,689,164,987,515,747,216,962,753,
567,213,317,325,599,310,856,729,370,841,289,325,660,055,490,114,650,873,021,
660,348,510,092,722,578,913,476,752,023,117,477,339,897,832,458,068,004,478,
242,667,169,622,130,346,001,864,079,966,188,749,398,903,819,965,826,090,553,
568,950,686,287,918,320,535,678,680,842,843,414,997,730,163,716,643,532,721,
889,703,995,090,912,381,819,859,457,741,358,302,633,249,726,306,688,746,733,
661,734,634,877,514,477,071,723,852,558,535,010,595,398,724,836,466,047,639,
886,320,783,252,229,978,339,506,356,074,048,335,752,880,776,649,639,920,393,
227,391,606,493,080,885,097,911,963,964,773,897,128,470,554,375,488,510,987,
116,740,963,949,791,800,588,188,094,903,715,183,372,047,039,075,449,969,546,
234,670,652,031,971,963,863,364,260,588,204,673,709,998,792,362,769,990,073,
179,579,299,757,148,375,900,996,324,892,036,485,314,340,026,911,695,722,832,
252,936,204,351,397,467,543,265,261,874,792,022,674,453,634,309,313,131,073,
908,594,098,671,656,767,666,310,552,307,147,185,036,278,893,670,985,594,798,
265,520,720,198,066,641,355,380,223,182,549,699,703,581,612,433,764,717,969,
900,962,313,312,343,148,038,570,450,654,574,125,628,388,629,046,839,389,312,
928,509,528,217,033,273,170,095,137,129,802,575,717,698,024,267,774,466,268,
562,745,673,235,121,310,986,557,829,001,809,377,665,184,951,807,191,791,451,
770,974,742,116,595,426,284,140,069,534,640,571,956,281,118,877,254,876,262,
484,490,869,531,718,230,364,050,663,617,253,400,401,806,658,084,191,870,925,
372,509,192,675,848,456,693,002,521,136,396,207,296,480,817,210,053,691,170,
285,842,269,694,588,775,178,693,792,134,862,881,697,360,613,217,401,743,221,
443,006,744,007,201,156,072,989,998,323,929,515,437,233,849,160,314,777,375,
596,224,273,609,501,966,434,396,384,923,785,066,622,285,923,892,164,414,325,
543,079,043,355,341,520,678,361,923,858,672,604,465,351,310,183,660,009,010,
084,034,752,413,625,715,109,592,334,611,009,095,613,795,792,299,672,763,113,
893,227,910,341,663,981,781,161,933,451,493,684,843,437,849,735,178,049,247,
984,097,366,557,353,258,926,104,540,272,772,539,439,636,596,489,130,654,472,
544,654,263,516,849,113,115,428,176,137,080,131,923,550,654,408,657,088,343,
826,060,558,763,846,311,361,711,004,984,845,814,618,661,413,307,593,352,961,
789,721,298,277,009,240,181,249,662,253,300,008,357,528,693,006,851,173,963,
048,356,788,248,861,355,996,461,525,957,329,701,907,488,553,585,030,923,219,
476,472,454,721,124,701,937,262,153,605,096,025,373,315,514,437,584,820,415,
433,810,738,378,868,933,354,574,523,307,385,325,607,779,956,030,641,758,725,
336,311,455,884,388,592,030,502,025,954,134,623,222,640,396,304,193,050,112,
110,654,571,783,031,552,903,285,132,376,168,223,472,255,484,942,478,341,006,
521,460,369,379,246,271,799,366,983,492,970,304,539,225,822,915,768,238,312,
396,582,467,437,519,216,689,212,034,721,381,745,923,178,899,822,479,053,726,
424,498,438,340,302,841,521,695,155,876,682,819,953,256,296,851,034,997,776,
360,626,529,362,382,530,934,526,121,395,752,741,847,060,719,742,638,995,732,
325,476,635,209,132,666,178,877,359,204,662,162,627,073,383,907,996,353,849,
362,021,167,759,669,956,929,971,121,106,090,459,691,318,250,242,518,866,733,
855,794,535,765,213,410,599,205,374,921,130,591,501,520,317,493,113,162,065,
627,153,382,646,226,638,575,805,874,279,035,518,569,568,828,724,975,710,005,
542,058,661,805,754,010,448,029,953,708,654,712,241,929,548,793,208,825,719,
520,142,825,376,077,064,681,669,845,278,824,052,917,041,576,221,381,539,995,
532,547,319,518,139,536,128,933,547,744,035,010,487,300,170,152,118,666,368,
096,318,030,429,849,133,807,376,434,820,404,504,028,973,525,933,571,400,261,
215,598,262,209,038,891,262,072,845,797,892,388,383,813,817,256,726,389,248,
416,899,143,791,481,764,890,073,883,792,145,911,472,044,974,679,665,686,561,
742,581,522,683,678,757,032,072,446,839,457,120,853,213,851,298,740,479,534,
561,239,597,302,431,984,455,078,391,303,191,319,430,455,097,219,323,264,379,
425,894,949,330,226,085,845,376,134,972,000,922,735,911,401,842,271,931,485,
051,314,479,825,894,401,227,918,348,038,121,780,561,129,879,444,849,309,396,
930,356,720,372,677,017,589,768,343,692,705,285,921,380,987,478,743,313,839,
657,395,547,320,997,336,496,993,362,142,315,902,980,312,024,651,994,086,923,
413,900,057,817,388,324,590,017,718,444,996,486,072,443,839,922,942,683,401,
297,032,146,858,156,578,554,681,520,871,849,244,756,139,404,158,266,528,197,
598,015,004,842,073,903,542,557,327,374,907,601,212,896,447,800,243,927,557,
198,871,808,854,658,554,842,952,841,507,884,811,086,836,455,488,073,211,305,
045,863,913,160,284,090,444,438,548,462,931,290,247,957,437,218,553,185,384,
186,538,888,728,232,168,318,455,111,829,354,913,669,573,530,320,196,711,747,
100,914,197,555,923,215,488,102,598,650,928,072,094,320,383,105,272,305,289,
850,553,432,401,321,525,775,557,705,282,379,762,130,319,633,662,723,658,832,
390,199,302,438,511,119,381,367,412,096,593,587,753,316,438,040,997,254,621,
273,481,846,969,622,343,184,210,336,172,820,730,313,422,121,493,215,578,334,
610,065,486,722,258,902,601,120,487,129,955,785,716,843,378,052,082,378,672,
029,400,097,982,623,236,745,145,298,841,693,550,906,863,970,774,440,906,977,
923,823,700,027,476,779,987,194,764,350,988,540,851,169,784,757,729,410,719,
646,492,192,130,990,445,671,773,101,686,847,959,364,603,302,082,203,447,272,
012,415,808,291,576,773,225,941,399,316,021,893,648,546,558,658,693,144,101,
683,917,368,759,530,491,306,032,196,113,965,479,574,366,104,427,642,697,172,
945,223,902,196,388,126,036,704,001,740,436,052,403,341,316,779,427,213,384,
688,977,357,526,458,690,080,740,951,990,583,178,886,932,777,586,800,753,879,
800,088,634,547,619,698,831,024,969,365,851,194,589,705,752,521,899,921,653,
030,747,457,910,675,671,947,225,965,965,915,800,181,266,753,919,762,890,610,
904,215,902,663,430,835,440,976,984,881,375,167,059,444,173,154,252,174,213,
224,070,881,842,574,614,452,308,381,094,822,219,589,515,043,103,720,148,200,
476,653,382,764,242,256,350,938,503,344,279,910,259,699,886,680,071,712,549,
614,855,446,980,127,843,981,361,402,940,235,500,442,156,586,595,265,405,496,
362,992,948,789,561,280,938,400,765,010,579,837,479,969,210,431,447,582,460,
460,486,880,821,753,052,754,456,720,849,387,845,525,264,097,170,275,145,081,
221,551,800,360,893,349,731,239,702,013,644,678,610,080,957,689,433,284,690,
001,936,430,535,643,139,211,774,064,875,075,010,011,540,559,306,762,220,512,
685,204,870,739,496,294,296,926,749,624,233,769,814,220,956,242,691,495,623,
752,325,466,135,829,164,166,874,272,116,608,823,213,071,490,945,205,813,404,
873,389,715,262,646,997,528,529,851,621,260,515,147,218,356,632,648,684,947,
554,102,138,395,212,376,492,921,855,783,100,806,144,532,143,288,116,119,856,
558,697,730,497,785,645,294,719,323,551,246,361,729,997,245,378,944,159,527,
823,530,163,359,535,393,861,367,015,778,564,339,544,725,075,944,483,172,548,
136,772,777,394,237,994,874,768,322,434,253,317,667,223,271,096,808,349,902,
471,103,792,270,827,419,000,751,551,344,597,013,084,459,447,896,457,130,420,
262,079,417,570,581,436,658,315,743,723,314,350,996,514,094,778,958,239,026,
407,171,043,022,714,756,099,904,893,712,423,476,837,071,582,820,955,427,333,
755,824,326,223,370,167,536,609,611,281,114,007,097,584,768,520,191,890,501,
454,722,276,163,458,632,739,800,314,989,806,533,369,643,645,939,159,785,402,
889,441,344,737,287,611,147,345,839,963,007,788,383,120,966,447,499,227,158,
329,040,008,880,791,670,032,750,872,787,174,643,941,783,917,518,206,102,854,
021,130,354,624,503,422,613,992,856,071,802,959,410,307,710,736,791,072,764,
345,370,485,482,654,281,898,009,421,236,010,198,428,545,510,822,326,520,411,
928,352,431,884,390,686,187,285,697,981,082,327,641,013,283,749,864,045,195,
022,767,238,575,002,025,843,670,940,777,233,284,747,242,805,240,968,575,838,
629,865,015,185,984,437,981,970,646,596,525,257,714,608,840,029,195,309,516,
641,720,057,139,521,223,585,795,918,116,104,408,783,317,712,942,090,739,246,
277,977,429,338,085,242,867,098,137,782,011,888,506,637,699,057,206,427,487,
746,542,409,799,692,118,428,002,156,740,496,531,754,570,033,775,970,495,306,
673,824,613,828,552,809,577,838,278,973,686,363,603,623,824,612,799,949,480,
378,388,520,167,001,375,384,103,352,346,686,479,332,341,651,532,846,580,009,
516,609,248,617,785,474,175,376,965,389,282,219,939,125,695,966,047,019,912,
245,350,484,857,585,327,407,100,378,450,532,723,135,623,613,973,315,826,378,
598,060,077,325,910,378,908,452,751,261,940,118,706,401,299,914,854,749,810,
700,088,511,390,200,848,357,463,196,649,563,348,592,001,721,436,049,611,576,
696,099,168,635,463,150,666,741,686,660,986,418,124,038,907,756,709,675,976,
153,224,834,910,370,026,043,743,309,415,338,857,274,224,813,128,824,082,847,
282,707,993,450,671,326,786,126,057,023,651,998,409,985,463,765,222,801,508,
442,098,542,969,086,714,770,564,611,380,409,085,583,628,743,440,587,052,705,
334,746,867,600,966,746,698,780,909,540,718,118,466,209,780,576,304,081,007,
664,688,046,752,179,960,807,013,920,939,038,113,931,095,304,843,942,536,002,
532,807,668,298,252,950,695,112,434,213,556,805,417,139,803,261,867,722,213,
328,963,603,200,564,269,770,160,732,489,004,416,987,090,972,119,048,232,108,
822,443,259,292,820,877,640,158,133,392,386,578,481,414,444,238,070,797,215,
751,402,293,824,422,167,614,262,721,141,842,131,778,801,331,690,240,426,155,
598,331,669,330,302,073,448,433,088,145,319,350,582,007,258,638,930,853,797,
533,587,130,799,645,857,624,136,248,769,827,937,059,573,958,820,318,488,374,
729,935,701,502,359,222,328,369,288,462,406,054,684,857,533,257,326,629,775,
888,530,300,168,774,648,557,781,780,633,577,878,125,253,051,157,680,472,351,
197,068,642,956,581,275,237,453,464,348,785,069,038,093,161,054,372,659,405,
684,598,225,968,717,558,632,392,942,565,542,264,970,721,629,576,831,227,884,
698,263,543,572,362,909,621,788,627,286,894,680,095,917,957,458,192,096,192,
443,343,123,561,944,076,387,410,219,225,350,026,342,534,121,105,176,617,643,
148,286,258,739,702,152,653,398,024,603,842,394,420,795,790,118,842,959,867,
972,882,552,258,246,882,704,793,752,083,392,404,627,347,039,629,105,888,362,
571,807,369,184,352,592,387,317,272,011,697,493,739,089,090,971,699,155,653,
248,205,439,431,866,941,322,441,228,786,593,536,159,723,763,517,769,290,009,
369,394,420,227,866,294,664,059,230,814,932,872,323,271,582,015,482,022,125,
114,367,839,474,479,404,693,722,332,781,560,078,407,704,757,683,718,498,571,
698,924,843,115,840,147,432,803,790,908,619,839,941,223,206,151,061,510,471,
275,955,061,751,262,972,765,842,591,199,713,883,213,181,327,441,596,235,304,
620,960,965,216,604,916,599,268,945,468,043,068,802,802,718,161,672,754,247,
832,694,298,157,241,272,915,992,021,589,168,036,720,474,766,120,256,572,732,
646,134,510,641,190,023,398,905,402,801,841,591,966,242,304,142,273,356,300,
891,004,661,811,925,282,701,353,891,552,135,170,092,599,617,226,531,010,561,
967,494,383,123,042,598,228,310,763,726,378,200,407,114,497,409,520,955,557,
892,207,334,699,650,238,596,940,459,210,704,140,306,819,184,959,527,267,508,
472,287,248,206,375,469,760,795,676,830,727,001,721,219,556,808,828,598,905,
238,918,119,194,096,034,290,735,723,426,768,092,428,531,580,395,716,450,957,
298,520,315,048,348,394,830,310,553,056,620,986,219,786,925,037,610,130,115,
310,207,836,312,116,897,253,549,381,731,555,749,107,231,713,377,424,301,005,
635,047,610,124,467,501,810,940,211,618,294,012,144,698,292,952,960,119,951,
550,645,904,835,407,905,993,652,001,445,647,336,483,363,205,864,857,516,482,
440,336,924,106,496,277,835,213,219,374,431,793,225,839,095,970,570,952,843,
909,247,861,294,411,641,519,749,941,622,724,760,510,688,898,738,011,851,276,
213,952,767,065,392,300,196,523,889,442,475,954,612,893,206,432,979,124,209,
427,555,357,149,313,231,754,778,073,138,228,272,529,900,844,455,725,907,673,
711,529,346,872,793,583,248,879,440,671,645,893,713,999,271,209,895,241,772,
846,581,995,926,418,058,360,084,753,735,808,172,229,925,512,344,887,781,778,
495,334,715,913,582,601,767,107,236,708,277,096,777,336,640,025,596,379,999,
587,877,873,553,095,596,015,949,533,428,848,629,465,217,155,093,379,723,768,
604,724,657,479,261,364,887,688,565,831,423,400,356,019,047,096,010,774,095,
978,565,257,972,241,252,940,893,369,883,677,707,595,537,444,080,720,686,421,
779,252,964,390,636,043,863,438,035,849,203,119,446,048,406,428,308,712,270,
390,882,365,347,927,848,687,582,407,296,358,646,993,678,628,165,306,400,296,
782,296,712,945,951,310,792,118,727,962,331,992,815,294,342,120,694,311,026,
147,538,465,385,167,841,329,781,840,660,784,840,255,770,121,910,982,916,334,
633,114,247,747,294,847,285,086,433,338,255,672,210,305,145,265,719,677,095,
555,829,002,719,722,620,419,933,815,275,272,075,044,420,987,121,102,483,549,
539,320,705,976,335,209,723,893,425,803,822,342,776,532,659,761,774,279,247,
260,523,316,556,343,673,857,150,229,136,627,990,611,015,876,855,177,807,535,
371,433,146,402,188,736,472,382,366,792,764,034,632,236,344,628,119,550,155,
683,255,425,147,215,858,632,568,860,795,797,016,883,239,932,096,227,270,234,
453,566,909,564,783,850,317,661,723,293,073,606,061,810,010,025,449,942,204,
726,756,032,775,901,922,010,647,398,100,905,225,317,684,215,292,495,910,808,
722,915,981,566,183,926,609,327,513,728,368,955,402,510,816,073,860,253,335,
082,879,586,195,557,263,983,821,851,333,790,845,338,949,977,174,987,742,776,
695,052,757,856,175,266,762,093,561,220,793,579,783,061,570,441,155,556,458,
222,968,934,758,669,690,682,866,287,708,943,928,813,586,514,319,819,367,349,
413,820,732,807,667,028,284,440,922,657,962,974,338,178,580,562,636,349,760,
050,595,898,770,370,952,127,727,437,292,771,528,654,668,573,865,879,390,034,
536,194,584,973,099,677,458,657,642,296,437,831,683,021,485,506,361,870,749,
315,545,746,899,354,662,124,427,918,611,120,128,278,983,365,255,351,127,917,
365,485,646,638,275,182,737,794,650,408,716,951,383,699,235,574,694,946,019,
842,063,274,823,222,160,276,108,192,581,919,725,695,029,352,179,804,086,714,
514,099,922,153,288,423,817,743,507,034,860,011,110,746,645,674,568,858,319,
353,471,474,728,827,568,042,585,464,370,728,281,524,363,072,663,521,130,904,
081,490,239,390,154,797,266,811,337,028,377,688,544,626,553,854,064,637,321,
448,965,213,112,362,334,312,268,210,870,810,404,119,031,179,828,517,050,089,
690,571,691,677,627,067,437,633,042,868,667,556,839,048,963,548,239,612,624,
810,748,414,828,738,246,859,938,727,887,583,671,450,347,542,871,403,947,986,
391,275,680,691,945,627,720,446,894,862,386,864,379,527,137,525,019,916,391,
955,785,179,610,419,809,826,765,491,227,749,337,947,035,279,369,279,906,114,
156,611,607,186,829,345,666,573,986,196,354,074,706,105,414,374,591,841,719,
348,971,817,784,135,367,767,799,437,928,900,230,806,399,192,133,754,781,522,
572,866,006,760,666,900,028,505,033,133,927,609,103,760,310,184,900,080,038,
190,405,401,639,869,438,427,150,514,793,066,284,141,264,148,466,295,265,331,
647,225,294,117,724,098,671,924,418,860,233,550,787,960,578,398,278,453,372,
836,703,510,386,264,926,158,360,284,099,949,765,573,404,769,719,915,982,797,
488,312,434,761,243,773,422,215,892,951,897,773,791,884,601,564,080,681,378,
870,200,153,981,491,389,078,937,586,390,044,456,847,765,576,759,629,306,231,
358,590,149,776,316,279,688,644,025,682,199,304,074,328,362,973,780,651,130,
642,717,764,317,744,469,895,482,129,114,624,657,832,879,956,168,683,390,928,
827,245,525,007,937,133,405,912,648,538,833,739,439,472,378,579,206,464,636,
055,030,986,095,656,264,686,814,614,232,420,314,110,556,265,108,772,550,614,
215,213,895,782,385,468,464,252,377,053,961,841,567,370,150,856,867,729,612,
616,941,073,783,996,174,942,185,544,675,402,948,157,002,926,140,745,668,121,
009,619,688,842,240,500,446,227,382,110,418,978,736,444,821,712,335,136,248,
266,218,306,363,404,742,124,673,885,860,109,214,997,627,382,785,728,881,043,
274,139,837,624,994,757,212,221,505,919,265,460,142,941,825,574,027,905,452,
145,964,032,092,531,465,332,960,647,435,921,849,078,539,322,755,814,288,636,
558,178,686,916,642,208,814,888,448,689,928,169,903,747,448,637,371,756,000,
901,077,386,614,562,733,874,473,116,375,527,756,023,775,547,960,730,951,441,
565,581,758,285,741,134,745,071,661,039,541,421,574,847,589,544,860,567,219,
751,310,297,908,586,137,646,413,682,799,885,351,916,133,870,183,751,803,016,
412,727,721,325,217,710,402,285,818,854,679,332,327,638,996,813,014,367,845,
048,578,462,134,878,504,555,488,268,407,902,464,015,411,544,999,285,222,370,
918,564,033,289,151,448,474,635,393,065,785,915,301,062,272,757,778,043,866,
087,352,493,746,091,942,563,155,199,759,939,516,030,813,117,939,162,817,838,
352,616,383,035,698,961,695,960,970,181,648,473,517,291,120,444,395,031,210,
232,258,414,628,321,898,637,070,240,117,199,927,996,150,390,299,615,735,291,
013,938,889,929,351,225,410,356,284,477,587,933,106,943,674,289,285,339,519,
460,964,335,109,712,395,303,875,118,798,074,144,521,559,719,347,746,671,116,
430,589,598,843,696,778,981,736,735,773,869,574,727,218,008,689,957,585,330,
588,560,310,159,395,779,613,417,961,548,141,329,780,124,254,280,876,089,121,
352,427,275,838,856,745,863,826,158,456,009,057,009,844,694,430,941,347,283,
982,598,577,729,724,011,876,693,219,864,574,321,564,060,830,338,778,426,902,
325,561,163,368,280,121,607,573,968,719,851,681,434,008,893,874,292,959,357,
951,310,542,788,262,522,258,569,238,993,601,890,334,198,099,782,607,168,797,
532,400,688,064,848,042,799,304,406,313,959,947,275,476,632,626,033,520,056,
292,671,217,220,987,209,843,435,517,641,207,433,670,098,970,223,037,441,368,
025,702,583,347,279,128,442,422,032,289,828,263,897,513,367,656,666,622,983,
438,463,100,930,119,478,768,629,153,507,873,151,279,198,107,627,544,983,650,
480,201,622,090,364,596,927,923,473,833,602,635,315,928,881,848,519,345,036,
025,681,974,917,020,613,260,153,892,563,164,747,343,526,236,524,258,119,671,
333,354,878,750,732,826,646,195,511,254,697,766,731,980,544,306,528,167,442,
834,419,995,693,612,667,361,953,706,426,655,858,507,932,307,755,506,614,982,
418,198,143,828,352,830,906,300,902,390,098,046,846,276,055,346,945,061,648,
167,243,140,035,498,742,579,824,539,489,056,490,186,585,989,346,556,246,749,
874,589,414,916,996,488,783,510,999,071,088,872,596,097,062,293,261,175,270,
645,296,842,244,207,936,628,528,972,694,927,903,401,968,144,362,746,036,813,
369,330,518,734,646,166,180,582,080,008,126,559,418,998,462,469,030,847,754,
596,196,894,243,491,854,874,505,997,580,693,462,408,521,654,351,144,809,663,
286,009,300,700,433,105,874,062,326,012,674,962,745,481,955,533,178,233,228,
061,647,293,066,806,953,294,530,798,435,217,907,233,787,024,278,239,370,499,
628,470,378,272,752,509,707,289,492,657,267,446,489,282,926,197,331,506,821,
506,509,047,012,243,412,891,922,698,478,786,070,177,928,046,655,759,006,890,
727,036,923,619,305,218,691,911,319,673,283,422,633,876,449,829,949,431,918,
033,159,066,980,090,932,637,388,079,285,909,780,985,750,405,506,228,662,719,
391,091,028,372,072,938,038,454,540,569,400,929,804,869,128,964,084,024,417,
385,945,158,241,205,127,727,487,122,299,106,297,020,268,551,757,138,342,155,
062,212,658,715,165,882,074,842,763,173,465,954,892,058,668,223,742,960,205,
328,640,119,077,099,498,939,939,374,729,519,119,385,368,421,712,316,948,034,
240,598,810,792,894,219,736,559,213,639,459,915,597,988,328,802,884,415,677,
177,954,685,706,386,449,290,251,849,474,612,591,977,854,024,534,658,629,676,
716,687,994,391,926,417,411,769,381,520,815,006,645,630,226,059,435,426,683,
605,644,292,229,497,786,157,932,058,428,365,207,666,978,634,659,190,569,084,
436,602,691,094,574,563,957,967,854,304,538,230,164,278,741,572,158,711,733,
668,535,647,851,967,620,891,893,516,641,482,553,769,324,956,216,845,188,444,
228,744,764,343,023,112,684,223,008,730,522,262,817,083,559,846,802,766,334,
604,767,852,716,815,733,418,309,423,750,309,602,916,187,723,398,124,748,164,
106,760,779,718,171,008,304,121,191,399,144,267,957,000,867,064,215,013,010,
078,519,423,503,825,324,265,963,794,115,005,419,172,801,051,043,650,308,123,
418,975,595,488,352,199,668,935,463,140,971,271,795,844,853,779,412,698,735,
719,891,028,266,990,426,295,888,220,652,605,415,198,463,779,398,510,985,221,
097,263,730,863,409,754,347,996,458,399,625,650,275,863,113,852,041,776,571,
430,878,881,303,408,636,817,946,111,720,493,544,072,360,595,516,980,148,320,
688,096,318,733,900,803,164,376,463,656,620,466,330,521,834,752,282,088,855,
180,720,613,477,242,926,995,909,426,814,823,150,713,456,528,354,560,193,441,
636,733,542,026,863,420,233,458,715,330,511,232,763,520,843,756,598,408,125,
126,851,090,527,945,732,821,259,248,974,463,003,533,722,359,094,110,234,984,
309,256,255,916,572,279,189,675,784,932,244,246,040,026,878,566,057,146,973,
186,452,879,393,161,545,704,654,371,363,686,532,904,468,800,019,221,830,570,
420,565,816,847,642,075,741,209,342,929,261,330,447,844,829,045,746,969,796,
642,115,005,645,388,049,390,459,899,101,813,011,751,363,799,509,830,227,840,
961,719,623,194,046,727,404,643,556,131,575,358,584,603,995,529,057,303,459,
164,876,783,466,154,893,259,559,218,284,608,233,804,380,716,026,786,874,227,
897,228,022,600,240,362,998,418,003,450,876,870,756,286,294,967,365,795,454,
292,851,246,325,036,086,383,889,439,414,802,476,059,535,744,532,142,207,000,
101,181,334,653,416,340,515,280,381,004,738,780,504,437,102,596,082,323,074,
323,052,436,039,990,363,916,060,445,865,077,034,038,213,535,593,986,561,798,
625,130,347,213,815,889,752,786,578,436,225,064,652,651,340,880,352,824,128,
388,771,806,674,745,387,835,467,241,657,794,827,941,260,353,240,931,025,097,
135,020,241,969,431,444,376,024,587,793,560,849,574,067,126,770,175,146,949,
258,800,792,774,218,785,860,670,456,035,000,289,214,444,386,889,609,572,512,
067,286,839,249,907,057,281,487,505,552,894,004,417,370,810,107,833,744,430,
210,286,695,577,792,688,532,020,387,378,632,012,096,257,903,328,605,672,093,
633,891,245,743,619,808,833,866,731,361,226,445,655,784,046,758,780,621,189,
422,562,703,818,163,130,114,714,818,821,246,080,693,715,739,107,253,298,292,
866,635,446,417,458,008,863,807,053,213,177,944,174,659,059,210,867,606,681,
039,634,173,369,790,314,396,852,223,282,715,722,759,241,912,854,389,847,426,
539,420,297,337,816,980,812,223,572,023,895,355,489,948,644,445,492,253,719,
470,515,677,767,270,099,363,541,496,084,359,035,723,107,756,263,566,568,876,
509,918,779,610,951,295,021,724,777,832,107,737,841,121,377,628,213,328,138,
088,521,082,130,055,025,583,857,813,988,070,246,155,915,878,179,698,475,646,
266,097,773,556,838,940,230,024,178,632,359,889,085,803,699,754,543,339,760,
976,145,519,166,164,396,145,913,495,314,173,316,709,662,084,310,031,880,902,
653,453,001,192,393,278,058,459,765,799,150,501,686,188,054,216,551,031,630,
247,933,102,544,926,912,597,555,049,586,994,244,825,563,592,658,929,975,023,
950,204,651,169,683,416,194,988,420,270,430,542,187,934,899,229,559,760,632,
390,708,584,653,284,224,034,104,693,677,215,525,720,122,257,358,947,509,136,
219,262,282,648,672,005,154,843,275,774,780,849,528,224,027,920,146,699,507,
560,851,715,003,008,492,346,443,304,162,516,691,287,424,428,959,462,618,158,
479,639,890,988,791,994,738,639,248,664,843,399,276,435,218,254,956,750,348,
500,172,168,000,855,876,272,189,125,075,539,804,262,294,239,052,890,778,240,
788,539,230,086,905,580,978,421,929,467,752,807,682,482,581,163,227,124,725,
165,105,438,097,649,981,873,026,030,492,247,298,587,103,538,200,010,502,753,
860,049,668,771,739,845,192,050,195,244,957,245,036,848,246,401,911,556,044,
684,057,988,218,314,839,521,809,076,945,459,631,593,085,751,588,833,404,457,
144,259,400,331,360,847,772,389,590,539,532,829,273,611,385,838,848,811,531,
801,293,305,381,201,443,608,739,914,911,902,909,432,400,522,882,991,108,047,
169,718,382,344,509,201,976,480,993,095,118,165,663,984,108,583,113,717,876,
001,794,146,857,134,558,039,585,445,957,249,730,200,645,631,509,327,423,330,
331,671,730,015,562,966,723,784,803,292,344,634,475,123,252,071,464,480,408,
051,900,705,004,433,859,650,366,232,242,363,416,871,955,864,757,595,865,608,
181,763,453,316,552,670,718,867,114,436,725,920,061,368,451,569,717,714,068,
253,457,579,849,091,488,455,999,797,262,767,705,061,607,195,600,839,118,930,
127,396,254,620,342,860,154,374,935,429,327,665,054,592,067,104,000,166,266,
281,191,829,374,052,891,768,056,499,755,764,088,754,421,946,459,548,437,400,
720,198,787,942,162,914,774,064,796,291,586,043,647,905,946,552,503,123,503,
251,889,241,716,233,196,148,004,474,475,594,506,475,020,268,396,064,769,086,
600,801,297,587,532,833,856,674,596,981,927,794,754,047,309,305,105,117,247,
496,064,846,747,264,214,383,113,054,881,741,214,078,920,782,065,561,037,718,
888,851,161,862,559,788,221,972,900,965,479,235,397,054,844,052,817,928,839,
642,751,492,861,406,483,259,016,465,865,256,253,410,591,727,195,603,458,064,
385,735,029,419,750,628,650,279,430,918,285,796,909,102,602,378,054,612,926,
704,649,626,318,337,119,148,559,003,294,175,271,690,075,593,173,907,424,901,
760,881,013,711,835,805,204,000,071,287,388,025,409,679,031,608,093,024,025,
811,921,727,507,945,957,045,359,608,483,283,933,752,470,288,735,067,680,882,
239,500,419,642,164,404,450,810,408,822,972,055,320,123,101,184,736,285,649,
834,827,255,159,586,708,533,383,065,832,394,530,273,506,675,468,241,974,045,
793,775,068,184,241,877,405,548,593,518,353,602,173,343,618,350,871,229,941,
032,432,743,961,315,113,683,511,482,180,898,703,324,995,137,160,498,357,488,
781,539,043,367,996,885,166,715,930,980,508,317,534,483,483,940,459,528,000,
299,917,363,591,067,374,548,356,317,163,752,088,524,268,113,929,484,296,567,
494,242,377,073,972,147,885,975,705,960,500,829,762,020,474,985,261,518,266,
138,877,144,062,988,495,349,351,693,343,060,201,463,018,666,783,039,241,310,
784,342,626,430,701,962,627,386,448,570,737,505,387,537,337,508,465,880,440,
512,376,298,422,746,162,070,971,785,348,373,732,341,517,387,030,878,135,800,
007,112,243,874,701,016,956,670,266,677,018,605,757,146,189,671,402,262,425,
497,280,463,865,083,879,734,147,732,407,819,548,354,666,087,544,007,297,273,
075,566,830,915,991,159,823,182,493,793,475,700,273,359,523,985,255,471,880,
710,024,587,528,782,968,185,847,406,023,867,396,148,902,014,414,853,669,137,
577,072,160,558,785,269,744,576,133,971,320,749,026,695,535,998,814,865,764,
539,039,870,678,104,022,769,403,782,241,368,570,043,094,397,491,713,001,992,
124,717,977,261,812,378,884,547,102,156,098,593,998,637,554,012,392,838,378,
735,137,796,331,866,576,344,775,288,775,991,143,903,732,546,183,024,631,642,
310,483,966,919,313,769,716,630,140,175,877,518,886,937,694,939,446,771,901,
741,075,256,876,606,862,163,927,427,371,082,786,690,604,663,478,522,882,864,
790,094,559,791,086,871,508,922,167,017,133,470,633,611,386,724,700,684,937,
975,248,567,072,260,160,724,941,201,162,404,109,215,309,145,803,173,247,931,
707,252,605,445,567,194,957,478,619,204,302,613,136,848,716,345,270,548,217,
589,226,053,785,567,632,902,942,646,618,827,618,394,063,802,241,222,866,921,
281,403,483,782,233,793,838,453,351,491,090,494,363,245,214,438,655,459,711,
500,465,481,495,531,672,029,992,118,690,218,194,965,187,683,502,634,936,834,
364,631,541,563,405,650,015,231,449,980,551,588,040,987,090,563,462,507,774,
871,138,584,559,443,375,036,383,978,155,779,342,096,455,275,580,029,434,339,
626,967,929,300,822,185,311,003,461,777,265,367,443,483,440,520,005,979,929,
988,014,684,235,330,011,049,225,382,272,273,904,942,034,543,572,491,240,659,
396,547,768,270,768,259,672,132,124,363,687,903,174,683,474,921,276,812,949,
797,803,698,550,333,891,668,049,047,156,119,299,984,445,993,470,443,962,236,
377,397,673,347,633,758,071,470,636,054,443,881,319,003,705,731,306,455,852,
490,559,194,314,105,929,062,686,907,091,183,238,729,846,927,134,880,945,089,
660,249,775,723,888,177,493,855,397,034,987,631,476,050,625,540,736,244,869,
223,424,505,406,106,872,032,254,485,165,311,000,156,504,312,692,203,913,412,
804,224,336,298,213,940,238,821,964,215,735,128,759,580,778,211,882,577,951,
632,896,545,298,119,979,856,829,193,489,658,739,413,106,360,817,015,656,513,
732,227,542,990,988,018,801,506,818,472,319,178,712,120,391,714,150,970,255,
169,475,872,018,058,819,056,840,670,131,408,617,749,749,534,252,198,510,978,
828,702,695,459,350,454,381,478,155,122,119,757,412,225,886,726,957,477,495,
552,104,705,480,221,909,958,004,634,464,010,699,761,611,146,457,888,026,686,
489,658,873,799,141,711,660,501,804,811,743,861,092,572,136,261,625,993,087,
928,167,781,905,500,808,106,600,493,276,105,451,691,940,026,198,577,697,241,
191,644,317,217,790,070,064,573,820,975,321,689,882,470,667,457,096,435,304,
487,920,272,018,391,198,408,729,999,513,475,648,863,903,721,941,491,912,243,
127,580,325,453,496,489,359,707,708,419,575,505,452,412,184,685,474,134,944,
251,753,062,550,920,873,619,013,672,686,513,928,190,475,449,125,972,316,169,
640,975,628,375,135,243,757,773,114,953,996,402,675,982,723,005,443,215,328,
192,113,867,858,793,105,880,298,986,154,033,558,582,174,747,707,675,608,159,
419,949,156,386,836,966,176,955,876,090,331,388,747,642,431,981,535,372,109,
434,354,583,590,088,095,105,913,093,694,025,849,174,368,587,961,020,237,588,
068,989,052,482,668,286,457,872,573,477,751,516,430,263,273,894,008,325,741,
203,573,520,992,803,230,876,348,608,577,229,144,904,023,708,990,439,839,393,
334,213,811,119,702,953,867,818,065,365,708,570,858,994,259,257,372,690,834,
840,921,594,300,031,469,867,019,235,226,163,264,275,914,769,243,516,376,574,
716,976,885,193,627,977,779,859,290,625,804,927,927,096,937,711,203,829,825,
742,563,420,586,625,399,202,231,183,779,731,198,687,322,494,121,080,197,875,
115,994,561,162,531,003,759,747,320,330,637,843,901,076,979,415,491,624,592,
198,805,138,144,570,053,276,861,969,279,786,790,698,478,892,528,793,151,171,
692,118,090,326,325,573,292,201,006,207,329,551,811,144,871,744,874,873,587,
794,082,710,469,602,756,597,983,286,604,968,265,081,013,903,698,331,375,008,
543,667,680,218,529,754,577,942,508,762,604,567,328,900,534,467,311,940,535,
074,275,392,633,554,991,573,389,354,272,459,737,018,773,426,551,406,138,812,
830,520,098,035,990,776,242,093,120,648,869,369,546,797,451,858,489,294,120,
633,499,711,646,587,493,058,632,737,522,015,889,092,259,617,341,791,528,303,
093,417,259,201,490,848,968,575,762,067,709,321,681,865,656,535,919,998,234,
499,761,487,988,202,383,118,396,060,388,052,171,821,735,049,985,219,648,766,
075,711,792,814,627,358,431,404,416,666,262,415,851,326,382,543,912,983,594,
206,782,125,397,280,263,383,277,590,935,827,091,920,548,659,065,355,680,313,
236,681,595,403,912,786,071,029,310,002,844,882,940,111,674,225,261,960,652,
745,188,336,829,342,271,635,498,688,749,270,567,234,395,536,565,268,218,806,
409,367,381,297,226,900,480,424,232,067,102,838,287,336,066,760,260,759,742,
635,426,889,775,512,179,926,156,402,841,269,435,534,026,008,800,727,813,645,
604,326,234,990,010,738,431,864,745,348,619,654,096,718,024,196,763,388,735,
871,182,797,990,094,034,594,189,266,641,382,230,652,360,125,739,326,866,797,
106,887,378,234,368,129,633,334,742,800,677,668,324,257,606,133,709,637,242,
034,604,061,376,270,899,327,417,513,798,074,775,313,404,661,059,910,951,005,
599,899,967,202,237,339,849,565,561,367,858,675,418,958,062,838,703,537,620,
648,825,346,806,521,546,079,896,940,956,701,830,396,118,811,106,994,414,799,
163,778,294,324,580,182,483,355,474,518,909,863,304,426,921,889,868,624,212,
129,028,457,206,519,224,955,247,156,579,063,279,303,987,586,697,885,119,213,
745,154,583,930,278,230,981,526,640,511,087,934,303,921,128,311,284,930,198,
996,330,146,932,603,523,060,458,818,355,356,660,735,784,288,749,637,794,257,
320,340,022,230,893,423,159,974,591,021,032,604,625,281,945,896,742,661,690,
270,460,650,503,917,892,877,322,403,950,922,818,425,979,935,191,742,361,130,
695,829,659,689,739,838,210,869,242,159,999,717,611,455,141,166,192,858,084,
725,347,362,552,366,572,083,394,524,481,752,296,401,443,503,748,482,715,409,
733,291,076,410,924,643,489,938,186,914,246,165,341,935,426,314,943,665,953,
266,727,999,978,818,349,360,575,286,532,924,187,018,107,211,611,673,021,557,
393,177,900,092,842,830,585,382,326,293,397,357,178,765,600,434,182,422,802,
300,742,909,420,094,639,700,432,743,328,313,361,534,169,773,603,176,060,099,
825,504,272,752,141,532,762,918,450,552,073,834,071,497,980,372,034,153,984,
314,451,281,426,442,471,994,633,926,935,345,201,369,733,479,058,196,556,422,
928,566,697,261,242,370,864,615,495,072,365,974,108,144,278,604,694,850,955,
722,880,453,133,475,885,717,065,084,975,475,613,917,970,466,506,789,110,810,
527,062,449,709,385,162,394,702,047,673,621,572,782,027,391,536,890,356,325,
374,969,906,251,611,198,588,140,325,169,425,661,726,109,388,818,987,334,173,
903,302,051,631,933,137,683,789,389,191,874,614,713,340,541,501,196,346,001,
708,727,320,324,834,837,769,751,358,285,511,824,165,422,135,397,608,089,156,
799,510,829,428,710,015,983,720,169,930,207,635,625,358,603,355,591,838,283,
384,914,280,782,634,340,895,551,201,565,643,302,235,435,514,609,193,140,547,
857,885,162,762,194,903,266,042,861,285,286,418,499,495,819,206,367,669,309,
182,761,725,057,237,109,445,047,550,272,917,725,986,542,103,750,436,399,725,
296,855,683,870,288,388,405,760,593,877,684,886,225,422,287,269,988,283,077,
837,829,887,499,260,908,120,347,140,992,170,771,465,050,155,271,108,814,360,
392,479,469,231,315,014,679,323,767,603,459,429,994,034,888,233,591,689,053,
352,807,130,528,450,556,064,115,905,613,452,288,711,491,412,835,118,683,051,
024,747,346,890,966,234,244,801,056,714,293,127,016,536,595,752,497,511,749,
291,522,682,401,565,671,830,599,670,896,242,826,732,872,561,498,451,537,150,
641,132,494,549,045,415,745,879,664,761,780,983,309,526,988,618,124,613,966,
238,525,613,195,749,711,870,361,949,690,762,644,420,189,121,715,010,437,788,
273,168,333,066,830,220,052,389,894,818,516,635,764,869,132,094,317,171,361,
939,687,068,369,911,519,055,875,625,132,607,575,604,870,966,146,738,674,600,
760,955,141,431,918,420,508,727,845,119,805,165,971,751,325,757,258,986,578,
617,371,038,848,975,425,287,383,705,627,933,304,420,620,260,379,189,565,499,
189,105,264,025,405,248,659,876,074,641,869,179,703,847,270,541,856,022,628,
663,211,213,384,420,565,921,848,325,474,166,755,759,702,438,205,026,484,285,
631,176,756,850,488,367,386,062,176,133,965,990,659,411,185,941,930,545,529,
788,092,770,138,514,412,666,187,793,289,697,672,791,622,367,284,975,556,992,
042,837,194,171,776,876,509,961,319,931,809,792,946,569,886,415,535,396,364,
383,577,419,209,520,143,016,088,245,322,096,479,945,811,099,928,443,573,795,
573,951,062,358,783,884,626,117,858,594,706,024,201,487,950,562,231,811,763,
031,175,839,056,166,567,800,699,889,133,033,464,742,812,491,831,009,575,302,
545,685,208,995,728,947,747,301,838,689,486,585,821,360,308,356,113,421,016,
212,979,112,186,046,695,071,315,207,966,559,503,608,696,963,094,040,752,762,
321,243,756,854,555,011,661,470,297,071,066,467,120,653,460,486,205,103,515,
368,265,360,213,987,462,882,577,098,883,495,443,397,449,454,854,984,659,580,
076,637,710,658,729,910,193,309,162,802,289,354,852,081,376,679,478,455,574,
181,773,959,222,872,507,875,590,195,470,425,350,973,451,128,668,561,217,966,
220,881,401,849,882,562,539,221,233,283,574,362,169,192,873,501,156,753,728,
917,717,519,735,379,476,762,136,329,429,896,442,478,358,018,377,147,636,815,
880,307,070,339,340,055,800,834,246,660,175,448,838,009,583,537,595,912,817,
812,463,682,902,502,680,290,756,233,721,339,853,099,187,270,287,989,992,529,
282,553,535,979,211,379,968,480,455,312,623,515,212,930,327,765,309,546,468,
267,562,686,867,189,354,098,233,008,263,459,995,355,955,023,728,151,918,821,
609,914,247,281,610,769,260,852,568,390,306,423,336,557,875,436,165,372,895,
395,988,721,930,988,733,000,330,893,697,165,202,660,118,503,245,590,828,659,
152,042,037,829,206,150,077,097,757,449,796,492,305,166,317,539,668,587,851,
404,455,012,801,558,019,866,999,536,037,074,357,910,891,508,540,950,273,450,
113,786,028,197,704,337,435,510,518,536,246,516,500,662,908,720,524,440,682,
466,311,797,934,554,397,894,250,298,317,664,279,352,019,629,911,579,441,048,
002,818,272,754,770,987,910,228,581,689,045,589,357,752,482,900,060,763,971,
043,779,930,737,189,864,122,809,739,792,143,547,278,332,382,576,438,615,090,
059,303,495,634,564,166,824,087,013,232,332,770,377,289,334,826,592,148,083,
103,705,616,633,849,496,563,122,790,861,420,934,280,445,345,859,723,905,402,
732,236,838,566,273,208,292,200,994,077,266,290,667,409,980,836,007,906,749,
760,181,261,493,819,573,582,750,333,895,888,087,205,830,848,130,309,634,022,
796,168,830,945,618,027,895,599,085,079,820,259,975,477,580,290,647,112,845,
669,613,293,403,527,395,967,611,585,845,044,785,717,774,569,623,013,812,847,
961,748,918,114,521,413,005,836,273,238,851,578,004,730,433,058,097,595,406,
766,549,482,054,626,999,484,742,731,707,799,364,327,262,548,457,298,372,185,
875,183,729,400,261,667,863,311,313,513,042,371,575,393,816,259,809,362,356,
310,912,613,571,032,910,310,615,149,605,605,319,215,334,625,978,928,150,040,
322,658,001,013,203,559,276,737,776,218,260,088,990,071,626,017,217,366,087,
721,116,074,913,121,991,700,302,821,071,846,741,428,200,997,993,832,957,659,
972,242,389,528,111,856,019,275,830,714,114,308,520,933,026,582,932,671,582,
939,308,709,595,407,757,288,324,242,378,366,346,797,493,628,904,822,237,765,
345,169,162,046,424,590,660,808,779,137,205,029,367,188,304,648,812,649,958,
416,093,478,891,302,556,033,808,720,642,257,446,518,820,502,125,416,544,431,
526,670,881,228,852,991,197,437,075,484,297,288,025,054,369,178,328,508,909,
474,134,110,938,419,248,341,341,211,726,029,208,582,841,667,907,422,489,191,
482,006,454,080,268,830,338,018,178,265,679,797,985,420,863,107,187,971,189,
499,761,237,790,574,516,756,786,350,041,429,676,887,749,959,619,609,915,454,
727,149,833,268,072,326,516,747,755,969,357,345,326,895,440,135,157,737,813,
028,830,442,495,278,756,252,800,021,799,090,139,856,227,695,482,528,287,371,
733,447,032,775,485,139,760,647,364,385,349,119,026,610,797,862,470,331,720,
857,773,713,143,529,458,297,141,249,939,530,178,445,831,319,046,674,214,426,
375,151,551,734,397,076,886,711,878,225,822,284,051,729,394,714,829,779,322,
341,946,909,930,148,121,897,206,461,223,536,906,388,465,600,387,104,297,042,
861,299,037,207,472,140,531,746,557,572,715,886,193,117,838,576,473,422,397,
866,158,206,332,500,005,921,434,468,223,707,961,659,671,404,211,484,624,263,
153,106,952,362,215,095,706,029,609,697,558,313,485,422,009,339,022,638,030,
134,651,683,727,417,564,362,974,532,270,326,040,537,247,571,265,808,642,507,
515,339,222,768,404,058,049,344,276,906,311,725,503,911,050,082,669,123,896,
260,033,236,401,090,221,117,617,420,190,822,562,520,178,767,735,897,249,049,
327,907,947,907,951,777,858,448,559,426,549,621,439,612,491,474,309,347,784,
949,273,576,200,659,408,170,945,302,710,493,945,988,324,807,611,803,179,980,
219,643,824,916,335,495,229,608,746,934,003,328,504,757,891,213,774,201,640,
308,506,713,445,602,349,429,953,890,253,508,889,792,171,808,189,296,656,103,
705,424,766,017,060,144,062,168,750,096,664,276,469,487,753,318,817,833,509,
266,312,675,311,029,905,160,923,478,262,495,691,922,412,189,923,977,447,662,
413,632,684,784,001,028,608,788,267,639,569,527,342,206,578,434,434,641,022,
168,218,305,108,002,582,409,659,838,058,314,077,022,493,385,023,885,262,933,
495,858,566,410,333,474,099,002,963,326,475,622,369,363,974,362,555,186,317,
487,219,003,251,100,972,272,857,738,594,168,932,761,683,932,322,625,131,355,
088,800,441,361,613,365,579,365,895,414,030,662,474,862,128,041,454,486,788,
556,382,479,377,469,391,749,185,561,836,158,132,779,413,976,935,482,753,328,
053,310,954,581,342,792,065,474,808,671,170,347,593,086,158,029,230,317,688,
283,096,032,612,427,455,985,856,444,886,522,958,802,663,851,450,663,286,232,
029,541,644,849,768,298,597,110,624,711,210,043,650,507,315,558,997,293,214,
764,802,221,243,297,943,625,897,402,406,812,289,319,513,184,644,660,986,866,
532,952,242,244,323,757,342,752,037,332,004,565,517,182,567,168,698,560,720,
508,329,300,360,435,045,856,026,748,376,084,005,998,985,718,327,629,054,608,
223,618,006,999,393,419,486,032,600,152,227,874,273,404,844,179,309,051,790,
420,507,821,133,866,321,520,542,806,060,618,123,458,139,834,797,880,683,955,
961,658,802,737,022,055,784,477,005,918,602,155,513,878,162,769,941,925,366,
583,118,332,338,460,227,815,692,360,822,636,960,397,872,783,240,305,791,698,
182,133,754,232,749,487,032,672,022,305,512,542,308,144,637,862,585,146,240,
269,769,203,297,200,048,536,000,860,415,504,285,920,464,045,801,323,749,667,
888,612,787,294,948,008,673,983,196,685,380,330,269,336,048,700,927,549,590,
211,942,820,687,522,254,905,670,427,857,317,374,127,333,496,618,677,335,513,
410,173,547,366,895,174,010,101,434,858,772,844,725,969,888,740,112,766,293,
525,949,158,604,894,013,937,666,700,732,639,209,995,305,627,381,209,769,203,
973,683,095,553,784,921,584,011,704,714,083,089,361,834,131,131,675,269,401,
049,653,641,867,314,465,847,603,086,265,995,425,009,904,520,480,227,712,184,
943,410,645,660,569,788,645,235,166,851,364,195,479,349,076,714,863,643,940,
417,423,893,634,215,317,882,965,765,229,131,252,762,370,099,253,227,650,037,
839,799,313,356,268,048,911,388,027,248,651,740,840,182,462,447,211,212,429,
017,623,280,432,680,429,398,653,194,191,496,277,022,698,061,725,394,810,522,
324,788,902,780,045,718,551,765,381,391,253,016,797,773,789,782,368,606,032,
187,325,602,851,841,472,449,433,444,663,569,942,604,201,811,126,709,348,720,
654,117,366,164,142,537,614,669,213,866,776,256,068,419,629,195,733,482,781,
732,810,737,169,453,927,206,980,691,504,348,396,936,026,697,128,504,902,404,
245,625,014,191,921,511,508,233,383,278,360,061,634,947,820,174,282,974,901,
447,374,820,033,573,786,623,150,502,580,843,241,702,593,091,968,963,135,227,
106,633,328,992,222,501,966,047,879,378,286,307,852,176,786,576,311,069,409,
195,491,723,243,199,243,955,390,972,078,594,281,996,476,914,869,437,121,084,
251,998,268,894,079,839,783,394,164,110,717,209,936,412,393,114,647,761,684,
195,897,546,036,505,960,349,278,182,746,241,263,852,949,019,349,047,860,025,
052,949,182,799,155,323,006,581,310,191,869,900,956,444,652,114,756,358,168,
350,987,254,808,271,344,441,184,347,388,605,134,626,553,452,243,327,653,534,
361,698,054,526,137,530,078,938,705,464,636,380,315,931,473,290,256,821,199,
917,919,375,984,243,344,424,017,453,917,032,218,871,685,196,325,726,495,979,
003,823,479,782,912,982,613,089,874,278,927,175,010,777,340,942,701,589,745,
164,790,495,967,443,006,664,365,689,020,048,412,106,636,048,745,376,459,593,
077,114,157,704,772,996,203,512,011,079,155,109,420,693,172,111,904,180,724,
663,265,284,549,232,566,132,421,536,613,460,045,132,041,114,679,137,903,446,
542,179,332,024,401,539,903,795,353,860,687,856,752,206,092,084,433,525,218,
257,590,589,926,699,563,331,635,058,473,195,022,378,470,885,759,765,441,328,
468,782,084,683,063,035,326,548,626,205,210,283,632,705,806,734,077,868,516,
696,917,457,759,039,206,441,663,377,096,987,863,990,198,671,165,585,794,838,
138,230,483,507,587,277,618,695,707,834,556,790,456,756,810,530,540,874,099,
797,925,809,196,950,123,018,449,468,112,483,278,256,551,299,310,104,739,128,
687,391,850,327,359,202,060,818,887,324,631,565,838,947,258,155,607,246,614,
054,318,607,183,076,480,272,305,218,636,619,212,551,632,212,453,369,520,784,
202,661,684,888,869,708,908,437,026,037,823,148,336,331,666,857,716,840,060,
271,070,293,236,266,374,958,496,806,091,618,112,505,436,690,664,714,570,079,
068,509,258,579,853,984,888,585,881,851,213,925,549,173,563,234,606,420,880,
439,199,883,971,756,516,246,949,798,338,121,209,630,695,167,661,017,181,295,
977,921,833,634,576,616,284,003,482,411,692,879,284,539,966,292,801,694,059,
482,076,341,353,509,317,329,328,465,140,404,803,336,975,293,093,991,614,667,
858,345,967,042,142,630,899,731,872,707,952,168,991,268,360,676,145,038,341,
532,878,628,789,387,879,188,345,848,578,702,016,452,802,477,426,921,262,213,
058,896,635,820,423,064,705,917,490,196,929,710,573,243,481,958,845,985,054,
528,449,594,657,217,119,102,723,177,184,796,547,930,828,386,079,063,804,340,
194,881,078,951,756,116,142,975,420,135,458,666,787,924,363,429,097,617,663,
005,042,735,976,025,294,743,078,650,232,004,490,123,386,628,818,030,277,514,
711,924,832,072,121,292,230,863,009,519,371,397,781,765,664,172,560,780,186,
999,695,193,824,454,725,598,682,819,430,709,245,753,330,636,768,154,250,187,
360,583,204,084,754,090,373,989,485,745,618,587,172,536,239,227,715,947,560,
725,733,367,731,852,676,611,676,358,244,197,451,647,641,356,094,679,428,193,
972,235,362,029,928,311,889,942,821,833,714,132,692,120,645,961,787,416,118,
925,312,284,655,942,412,945,731,220,860,610,319,830,810,264,966,423,057,441,
080,672,192,012,559,006,151,169,547,199,933,338,948,700,269,808,979,171,301,
121,886,595,871,114,903,629,272,121,982,104,574,292,105,229,322,358,543,436,
701,497,727,006,468,820,322,372,507,650,168,058,037,032,411,709,782,126,809,
639,652,954,543,727,849,970,507,764,778,565,287,080,198,168,330,866,730,017,
607,696,355,085,622,144,735,936,551,696,970,738,306,568,977,025,957,745,371,
580,961,891,732,890,960,406,711,570,786,306,444,599,184,777,803,158,793,740,
197,856,329,504,837,530,629,725,498,792,233,810,371,794,829,334,887,787,405,
597,960,488,401,304,213,052,439,457,628,671,894,191,441,527,804,626,233,782,
212,769,360,116,280,311,617,488,988,752,709,196,181,568,895,832,696,737,922,
134,030,251,877,855,271,193,922,367,509,637,067,806,047,469,834,850,326,820,
105,724,494,386,689,581,435,444,594,778,907,839,896,476,509,565,038,410,710,
422,000,315,977,056,857,863,617,453,497,856,271,017,614,224,813,821,261,443,
941,475,532,471,912,689,184,714,992,957,766,640,780,740,539,407,528,015,600,
694,445,161,684,724,158,791,441,762,891,654,940,399,486,697,694,932,508,610,
477,147,577,396,506,653,541,668,423,077,614,895,235,334,955,433,416,731,048,
181,944,055,000,904,514,746,786,973,694,587,497,833,517,253,675,844,468,090,
729,581,390,790,759,563,552,941,539,525,771,656,252,141,369,124,094,978,006,
916,603,450,701,707,325,667,548,869,102,382,869,697,341,702,037,353,387,488,
317,159,342,460,193,309,410,677,815,744,041,131,568,828,890,510,200,807,772,
556,668,886,595,918,501,659,714,343,847,597,245,717,878,233,365,545,261,640,
800,432,061,565,637,515,016,703,568,310,473,231,300,306,469,346,980,116,722,
496,130,607,301,470,828,416,914,007,854,810,928,508,886,197,734,353,608,422,
606,251,904,865,153,730,722,449,389,527,975,542,669,533,102,438,145,575,707,
640,456,039,578,911,256,121,387,346,427,082,754,663,837,007,366,223,098,734,
238,425,526,978,502,237,562,505,589,948,841,734,182,273,738,165,763,904,518,
699,172,836,849,119,911,700,114,552,003,786,246,288,564,182,115,776,102,211,
504,552,755,694,249,508,439,110,629,290,152,909,863,039,649,806,429,821,933,
379,918,158,845,801,243,089,273,345,926,922,188,231,452,640,004,876,568,381,
905,213,432,728,685,566,467,088,421,957,632,070,592,048,366,682,695,984,241,
302,363,026,990,610,985,181,417,307,750,735,004,089,977,203,526,492,493,794,
757,716,196,196,245,197,085,640,476,522,573,556,029,317,366,861,664,956,762,
950,638,134,741,589,494,867,623,938,256,554,360,024,259,943,761,882,384,660,
386,172,522,730,532,846,233,831,442,671,317,398,819,608,862,157,785,155,668,
610,498,839,092,409,952,867,546,605,968,040,861,048,760,736,306,651,517,030,
432,113,186,538,769,840,296,843,082,915,591,582,648,904,842,160,963,287,832,
703,391,424,993,671,476,437,902,134,093,221,074,322,150,435,693,143,013,928,
964,239,586,703,935,602,429,573,349,784,035,792,345,256,655,844,644,387,403,
582,640,996,212,744,582,567,325,317,566,969,161,516,762,786,787,032,982,514,
549,103,361,857,490,335,443,766,270,341,456,627,311,845,514,851,124,504,059,
966,411,986,448,382,477,797,765,575,618,276,882,884,110,690,082,713,564,734,
401,124,222,561,138,526,609,097,407,339,875,662,527,935,153,266,364,466,322,
629,141,180,804,482,979,918,627,315,164,644,244,596,576,952,243,604,844,581,
489,220,881,226,859,621,787,375,048,276,942,249,387,800,506,636,748,266,477,
355,559,044,252,366,608,417,528,268,047,934,344,765,249,819,843,910,193,612,
936,805,456,234,358,593,093,725,867,707,457,776,563,943,202,684,073,692,574,
066,602,336,566,669,510,349,978,066,851,150,551,765,008,644,813,857,671,910,
282,020,415,549,327,483,402,265,205,388,318,859,585,090,377,253,866,407,989,
885,007,117,077,248,054,100,594,750,866,908,247,303,694,134,106,808,944,435,
618,593,546,996,408,253,079,181,284,679,227,149,267,630,856,420,501,592,452,
164,117,334,805,661,046,878,538,809,643,260,650,301,015,106,093,297,778,443,
296,516,502,677,178,087,042,973,450,178,876,565,712,564,634,160,208,070,240,
303,214,773,416,814,069,050,238,144,319,481,077,401,811,773,016,213,602,660,
394,781,853,825,450,609,737,430,138,770,486,416,986,364,349,966,170,956,665,
316,052,728,438,003,259,909,333,770,611,088,813,392,568,380,284,204,207,267,
825,694,648,168,367,035,866,616,963,043,189,883,812,960,711,894,316,315,591,
256,181,421,862,926,212,585,337,231,426,566,227,629,667,088,408,136,411,014,
137,727,833,707,954,101,380,449,546,721,191,420,506,731,113,409,385,777,476,
139,302,188,299,390,726,301,825,931,080,940,032,082,856,100,570,026,102,056,
578,148,186,438,624,663,973,198,871,789,756,417,965,044,174,487,581,059,524,
218,252,852,639,767,641,320,124,359,185,986,907,090,192,994,336,620,953,638,
438,797,762,149,088,161,111,461,600,273,909,954,509,415,815,280,666,017,549,
285,837,328,382,581,307,948,068,601,012,070,937,015,331,951,790,378,338,205,
869,037,015,864,336,469,870,263,366,583,692,972,337,117,993,079,664,483,492,
487,056,946,823,496,772,728,004,862,287,077,099,974,434,641,646,112,205,211,
211,105,379,468,225,982,394,732,021,748,594,437,389,675,637,381,044,589,599,
312,584,647,441,640,355,889,395,684,756,181,056,071,401,158,675,958,876,436,
312,203,076,389,846,521,266,632,834,784,954,897,809,199,311,879,073,967,814,
385,331,903,514,664,789,825,920,099,302,079,109,086,897,037,551,861,863,544,
955,059,885,861,806,709,440,475,282,704,169,291,514,292,444,889,757,175,073,
052,751,325,231,355,680,167,384,761,543,474,768,548,143,514,203,993,569,086,
670,781,748,665,114,633,360,791,157,528,445,380,810,062,516,341,232,459,954,
709,063,464,186,165,099,264,668,762,120,502,314,546,921,960,617,121,813,752,
098,455,255,135,463,303,420,648,487,725,341,287,780,821,300,097,851,003,383,
641,558,081,222,055,735,422,256,556,742,276,877,408,244,876,802,686,712,930,
260,054,806,798,636,182,902,362,541,617,934,711,130,158,520,275,045,073,076,
953,917,419,455,689,340,913,060,041,511,437,894,847,198,879,189,871,581,600,
163,605,320,906,143,353,875,846,576,541,416,456,755,701,631,188,108,193,577,
683,811,674,321,494,481,071,926,885,049,877,215,680,565,445,540,802,214,782,
960,421,367,997,518,044,237,971,704,114,798,506,727,251,855,944,661,324,321,
291,371,935,041,133,544,270,635,203,125,402,037,036,925,531,056,326,248,314,
073,687,549,172,363,619,980,034,287,192,497,673,168,284,938,005,432,679,958,
446,785,393,726,045,044,281,332,478,572,936,942,814,157,894,180,114,693,563,
897,972,094,326,334,116,523,186,180,907,918,281,695,275,220,187,960,634,384,
329,535,974,878,211,914,396,815,408,359,221,062,110,312,943,713,722,521,452,
001,251,585,961,305,217,318,899,424,071,661,972,700,432,979,010,019,521,424,
785,944,834,650,867,496,406,298,221,087,460,441,412,526,966,094,541,443,234,
520,881,068,719,970,098,741,404,054,631,196,594,482,519,292,680,951,647,061,
656,840,110,009,303,180,122,305,549,101,333,703,598,606,109,990,949,224,952,
516,592,946,004,799,107,532,820,368,995,168,527,338,175,360,908,822,375,114,
419,617,416,378,435,936,276,597,522,387,181,474,188,358,594,804,105,682,902,
335,713,123,381,700,161,094,123,655,643,349,163,184,784,787,179,234,296,976,
201,592,529,718,454,929,673,951,171,319,248,841,755,746,171,012,587,548,756,
293,700,834,768,020,891,641,237,816,623,725,841,317,630,642,415,961,907,886,
903,829,628,206,697,705,217,252,106,553,971,332,131,921,273,869,747,799,748,
568,224,453,689,846,346,379,626,576,816,310,549,296,181,678,742,751,131,398,
581,147,425,441,732,492,823,499,881,248,031,312,027,155,718,367,001,822,998,
707,906,909,026,137,254,909,898,740,345,739,940,530,132,599,752,100,738,846,
581,047,266,738,433,285,617,500,070,038,818,721,118,978,487,922,916,451,915,
401,940,485,839,839,081,626,922,479,198,580,453,486,952,201,539,559,130,076,
587,881,369,025,516,295,800,774,836,774,210,853,255,167,718,080,786,390,208,
156,875,163,122,724,597,125,875,702,359,573,032,302,719,206,595,826,762,385,
746,670,563,276,284,069,424,938,265,099,836,597,302,100,568,161,078,708,395,
342,086,243,643,833,686,907,080,390,675,730,102,328,109,761,723,239,371,337,
687,963,195,790,539,132,834,182,326,173,164,279,677,860,230,564,916,727,045,
282,452,240,854,785,684,367,406,040,609,935,042,191,204,691,035,140,733,701,
957,305,117,369,764,451,121,453,283,628,861,858,749,518,459,515,696,498,235,
912,489,975,610,117,892,456,311,835,439,714,267,471,208,969,894,789,067,873,
992,081,261,542,874,615,118,663,944,598,346,481,516,449,398,130,554,358,110,
863,768,411,419,153,982,582,793,344,359,480,457,270,543,381,418,956,378,620,
839,723,418,725,405,309,141,368,595,317,799,740,701,773,583,849,659,579,467,
520,454,514,152,605,492,063,588,858,399,701,043,798,146,278,483,929,351,636,
902,560,319,652,892,589,093,150,767,095,089,728,413,122,054,175,096,133,094,
487,395,784,396,998,815,935,883,309,003,946,945,034,946,956,938,822,955,407,
128,864,509,292,464,300,805,457,355,596,913,274,991,802,417,580,482,759,027,
972,727,972,957,861,479,414,485,334,160,636,603,415,192,346,757,432,080,209,
709,806,451,789,905,635,306,108,852,010,144,043,400,068,042,904,304,308,672,
317,423,141,331,169,234,947,093,309,887,969,682,873,467,232,544,551,746,337,
126,428,682,318,896,265,566,526,889,062,951,515,081,318,189,024,701,843,372,
499,484,715,895,661,652,205,121,465,620,997,433,665,755,115,711,997,353,703,
643,477,213,433,559,567,218,456,423,946,003,231,137,612,722,009,983,629,446,
157,808,212,795,076,430,225,683,662,876,159,669,265,780,587,265,447,246,583,
489,814,868,016,539,454,252,423,653,731,058,753,279,530,942,072,474,417,958,
459,519,891,978,963,366,506,635,479,095,582,453,806,488,295,166,130,807,839,
599,623,079,595,338,215,865,216,228,941,593,884,820,054,628,433,715,088,227,
164,303,218,640,690,594,490,159,150,599,417,879,612,669,392,326,840,980,298,
786,537,565,128,807,500,074,725,390,112,875,910,275,211,241,978,930,428,035,
215,204,173,523,004,727,540,104,489,319,646,805,974,112,571,025,023,730,425,
133,645,708,492,571,056,266,302,103,274,272,437,987,880,181,657,086,904,603,
894,627,870,998,539,522,822,439,047,970,234,457,673,140,635,340,841,311,990,
011,717,944,722,063,874,387,434,714,646,336,404,364,069,821,272,872,336,814,
943,692,841,012,865,384,951,552,711,748,189,346,900,243,950,465,848,610,856,
471,912,283,328,447,222,419,214,220,561,257,765,475,169,349,637,104,920,185,
781,458,441,608,248,942,063,821,454,398,290,276,730,819,666,678,527,651,181,
916,709,781,709,887,770,670,073,068,216,092,655,230,494,123,546,784,940,692,
556,058,564,015,647,595,168,778,508,137,896,810,974,887,808,514,595,654,797,
328,185,876,397,762,871,543,344,163,007,960,390,276,110,517,506,171,166,022,
525,063,948,246,412,054,774,755,329,436,162,025,620,766,581,176,500,113,769,
628,625,919,369,621,715,875,395,022,945,605,717,288,712,865,438,705,029,349,
815,928,462,394,691,718,929,067,985,648,414,416,370,488,917,967,702,913,471,
823,942,516,946,831,572,545,028,998,227,694,314,187,113,794,001,767,633,235,
098,263,877,846,601,403,014,097,961,569,082,877,696,917,423,256,231,267,670,
468,537,143,250,863,039,531,378,129,798,404,308,148,388,417,148,938,139,331,
649,952,830,963,994,218,346,644,774,289,530,489,434,836,861,979,838,582,457,
941,830,808,358,109,243,899,573,945,243,148,707,258,169,793,949,665,192,113,
880,561,209,276,459,393,019,634,663,871,507,279,021,384,493,214,886,716,095,
772,192,198,089,846,312,544,773,704,798,553,409,368,460,736,420,520,961,986,
874,615,892,154,708,662,230,721,746,435,499,318,046,316,543,940,088,194,449,
177,066,553,922,897,103,866,859,995,446,863,255,009,253,944,666,887,165,382,
116,233,990,720,456,833,070,924,983,968,358,075,526,869,606,790,149,304,309,
894,135,241,376,724,683,848,827,369,018,885,673,436,330,641,045,264,741,709,
598,548,012,986,675,165,090,668,605,546,089,473,231,497,615,997,805,524,246,
804,566,662,159,075,449,374,311,983,168,134,560,026,174,746,202,495,295,694,
602,763,015,185,590,547,512,643,683,602,547,149,497,256,923,838,637,792,814,
954,929,508,011,742,682,714,456,958,739,322,364,326,596,663,180,178,392,733,
298,110,910,149,061,022,532,226,070,820,154,137,247,842,725,035,526,346,349,
050,223,598,248,061,443,541,145,550,706,159,372,149,922,811,456,295,280,869,
350,076,608,168,637,121,530,437,914,954,296,611,571,715,222,993,241,998,347,
377,191,683,556,411,388,905,175,286,488,232,775,172,590,620,404,187,052,180,
710,058,154,556,358,118,664,574,998,591,542,116,481,891,562,042,978,149,061,
816,749,587,281,344,645,511,567,084,056,857,497,661,948,261,554,425,656,905,
894,647,903,903,321,962,085,190,847,160,722,956,579,536,762,848,413,570,870,
561,484,158,384,292,635,207,249,727,142,697,989,097,094,073,154,246,944,310,
272,935,567,226,173,600,456,739,455,469,398,276,627,857,196,614,628,115,695,
549,427,864,039,302,819,177,587,260,949,551,125,552,746,299,683,121,502,397,
094,743,040,028,208,713,897,490,279,660,058,528,102,155,928,603,027,760,120,
574,403,028,673,241,616,434,575,166,255,137,269,867,928,323,452,129,676,491,
370,308,554,119,443,280,917,026,830,790,906,715,238,095,476,682,156,072,063,
339,306,851,868,766,038,655,543,250,302,879,786,443,893,055,930,032,795,176,
209,901,247,249,905,402,349,480,834,915,946,387,284,650,637,118,083,877,885,
293,905,416,194,961,344,941,137,482,957,269,769,033,365,076,417,742,013,252,
759,380,876,668,418,811,462,666,273,225,470,177,570,660,297,347,959,594,241,
049,570,095,818,355,843,992,195,117,201,532,915,869,954,735,143,566,448,086,
454,995,716,922,321,721,561,942,462,588,789,022,480,047,649,931,175,257,138,
169,843,047,748,435,341,462,899,901,314,146,122,578,807,186,984,046,675,262,
501,357,123,218,516,763,479,049,769,013,090,139,044,652,596,854,838,059,784,
826,126,558,796,010,012,140,491,057,923,364,369,887,218,165,916,439,960,026,
466,732,893,284,124,124,686,521,053,613,895,111,329,907,657,277,032,073,529,
106,363,671,442,315,891,800,090,840,131,804,149,228,524,726,960,268,004,304,
361,126,384,236,368,395,447,276,016,950,479,468,523,995,663,603,738,573,064,
214,515,472,837,314,127,878,280,667,746,796,663,139,579,338,168,515,040,403,
474,159,282,128,083,486,244,180,733,792,985,337,339,188,224,167,055,407,762,
016,940,233,603,342,508,087,044,827,026,417,556,374,199,205,130,023,128,541,
638,032,155,528,961,739,774,579,175,862,849,841,589,502,917,190,071,836,765,
926,852,994,229,002,516,078,421,583,002,940,376,393,834,883,130,703,834,402,
913,526,384,444,123,546,870,217,749,141,046,212,648,223,894,100,228,448,667,
829,472,918,195,750,347,384,587,239,066,538,466,657,356,453,388,125,808,256,
496,066,770,409,902,986,324,091,269,237,084,948,431,739,277,120,156,264,782,
462,366,797,354,301,122,845,898,912,267,371,639,306,091,087,637,060,945,851,
154,478,256,595,932,667,358,651,877,061,048,966,652,128,580,635,270,232,449,
841,936,418,741,672,134,587,298,526,866,297,570,017,407,794,430,065,321,326,
277,653,007,580,251,221,576,659,902,663,131,963,927,392,568,658,031,043,490,
353,576,646,678,260,347,879,373,708,320,310,257,400,629,957,703,402,320,039,
525,071,993,741,928,765,791,975,820,559,446,881,833,058,788,180,865,804,221,
251,232,751,597,025,576,031,137,379,866,093,984,861,551,280,104,554,271,879,
484,384,301,836,040,178,875,327,541,222,742,010,974,457,753,826,765,771,314,
313,747,084,027,552,301,586,775,171,987,762,483,728,349,923,017,632,584,963,
390,311,453,591,652,352,792,298,506,430,785,088,713,309,391,847,661,961,510,
709,922,913,761,600,452,824,424,396,620,157,988,802,464,049,330,067,268,706,
932,091,002,971,536,502,832,915,846,013,970,111,244,710,167,847,671,653,948,
447,526,074,624,061,380,912,922,204,846,916,312,226,831,656,666,648,759,186,
735,559,534,934,039,426,625,391,140,198,866,113,466,489,263,483,214,378,785,
250,208,987,284,294,736,554,987,555,375,895,714,510,740,402,752,679,561,693,
346,044,186,297,488,222,620,648,386,816,598,348,839,501,540,101,646,428,309,
928,340,703,611,947,563,689,169,072,077,701,375,456,228,185,324,178,413,816,
846,502,818,666,709,701,551,591,614,012,521,618,123,465,683,497,832,769,617,
894,311,274,246,428,717,041,272,224,353,481,756,817,104,269,072,667,571,160,
862,069,158,870,755,387,956,081,800,250,780,299,713,227,254,818,188,898,290,
547,428,655,900,986,794,360,402,096,031,071,594,058,386,446,260,323,855,467,
503,852,492,978,241,206,620,529,932,377,090,065,238,853,425,856,228,433,617,
837,530,712,820,357,103,145,777,556,415,328,196,214,392,002,863,925,252,883,
028,709,245,777,474,444,667,436,526,099,388,521,308,205,426,234,005,850,192,
974,299,966,947,999,646,222,111,298,619,749,345,053,546,763,699,518,105,749,
450,048,667,365,555,863,651,987,375,928,645,465,736,551,682,735,786,114,721,
641,847,118,362,061,265,068,929,745,815,820,775,616,834,997,441,997,697,811,
474,725,310,065,853,569,503,183,830,168,848,725,628,012,663,142,786,277,705,
799,405,715,216,509,620,591,976,297,948,906,510,327,668,245,226,828,153,288,
720,795,630,159,146,907,233,921,661,148,596,493,595,527,743,813,129,060,308,
642,742,489,497,218,872,000,820,353,589,893,888,147,790,548,723,384,699,741,
706,367,420,778,288,625,353,223,136,670,258,781,594,206,266,098,309,718,078,
336,189,979,232,759,629,408,305,875,163,486,301,828,527,362,645,343,603,651,
304,883,142,607,201,506,354,677,692,235,146,430,392,653,309,555,243,443,856,
651,785,275,584,957,067,744,544,711,125,172,767,942,033,528,437,143,103,773,
140,041,027,094,184,779,594,660,139,061,921,208,467,206,890,340,762,698,948,
952,950,371,327,992,472,200,925,502,174,954,919,463,241,650,128,777,327,445,
667,288,403,412,861,762,087,612,293,612,005,354,026,809,855,232,159,840,948,
941,697,615,088,911,190,368,504,666,861,805,771,737,900,551,749,102,228,500,
355,012,753,928,012,684,748,055,284,600,530,771,482,201,146,327,238,609,777,
291,372,520,275,285,747,199,647,414,305,346,658,233,348,468,161,668,388,153,
046,684,246,683,108,993,514,131,756,925,753,304,977,543,558,164,540,009,766,
882,210,350,945,828,392,224,623,494,422,249,932,933,432,536,712,858,156,242,
258,759,028,800,313,477,891,062,845,239,868,809,131,556,037,428,526,286,279,
313,892,748,896,740,606,411,910,031,108,497,118,281,841,782,832,135,113,265,
142,209,510,036,710,407,756,870,210,517,282,937,857,949,667,005,202,129,298,
117,143,324,849,519,593,066,321,834,374,845,109,645,756,106,064,435,378,525,
104,685,537,864,090,557,957,724,893,246,681,364,872,973,685,769,994,023,654,
157,156,502,490,648,242,578,943,603,995,275,191,175,755,207,284,890,956,308,
560,435,930,327,089,847,218,455,178,156,741,894,992,126,958,964,868,871,415,
191,814,976,915,409,101,151,293,890,042,050,315,996,204,367,588,919,420,407,
827,362,067,163,693,749,509,932,910,737,659,296,982,780,880,229,111,602,678,
314,503,438,691,458,421,174,397,231,693,280,654,537,534,127,681,042,562,802,
918,206,060,807,109,267,980,161,176,827,525,183,693,228,117,488,892,169,458,
358,937,805,259,383,815,311,207,806,821,374,622,509,327,267,538,190,698,357,
429,429,872,853,732,880,696,108,637,808,998,150,123,003,823,349,992,864,546,
070,995,028,621,155,391,738,062,608,458,580,431,652,088,248,403,814,924,511,
828,586,624,851,704,035,845,087,377,648,975,620,809,551,939,554,089,436,645,
907,312,819,822,782,205,225,381,621,610,485,061,945,672,069,582,746,637,802,
447,208,873,756,106,932,824,901,390,920,634,207,219,252,084,093,946,087,046,
146,893,066,461,665,264,562,599,245,078,498,705,626,327,922,273,433,422,909,
812,994,089,127,939,146,878,573,283,881,718,092,090,646,587,809,922,649,971,
582,968,537,069,306,614,167,627,251,843,772,515,412,645,171,977,303,028,375,
001,879,419,548,762,425,870,706,820,713,496,641,291,988,607,572,596,146,092,
498,724,408,292,734,313,622,281,272,344,495,111,540,253,719,769,422,746,475,
373,515,295,215,740,949,868,040,434,188,807,888,658,077,595,095,177,676,633,
105,937,302,471,979,221,940,949,274,496,157,293,500,180,954,855,339,219,164,
534,553,973,869,433,227,093,375,359,075,831,525,729,391,975,116,756,090,494,
196,018,267,725,519,974,924,514,416,710,835,957,137,531,840,300,800,379,072,
652,891,051,969,935,173,191,588,149,956,040,018,074,609,478,612,111,405,005,
205,382,572,481,967,889,305,702,696,494,682,068,887,758,336,505,333,462,536,
258,255,259,783,038,016,168,818,775,056,464,942,321,906,013,710,363,236,262,
074,796,955,451,611,958,475,755,070,745,584,382,631,135,180,264,100,356,879,
405,416,248,720,043,343,989,803,966,525,885,828,211,577,772,559,691,583,249,
448,212,276,707,061,240,379,364,725,740,723,551,322,337,289,178,170,917,070,
308,877,181,839,774,336,869,914,866,146,203,489,228,115,122,792,813,180,385,
690,689,832,767,004,741,211,548,040,306,750,177,773,859,730,149,691,578,876,
765,154,529,780,281,985,888,725,431,478,469,599,839,638,659,374,646,464,012,
294,743,207,131,569,551,500,705,537,960,386,329,677,739,631,655,304,688,852,
074,004,748,292,530,625,039,482,336,818,960,542,336,319,312,423,710,887,840,
948,973,769,380,177,826,641,103,755,465,132,464,907,949,236,533,378,816,451,
406,155,513,725,035,534,087,474,127,676,904,961,322,696,995,891,534,579,993,
305,734,554,992,460,772,347,725,886,674,808,072,282,507,554,335,387,405,525,
793,419,482,366,885,212,365,284,744,087,779,009,872,704,638,548,579,649,389,
350,080,172,581,828,114,923,265,547,420,224,324,333,556,983,142,284,699,137,
800,593,427,878,169,873,516,992,840,600,734,265,644,852,672,227,706,174,769,
588,687,784,140,554,112,493,709,032,984,127,541,081,547,311,374,919,322,196,
646,147,762,219,952,154,480,664,777,164,101,052,309,057,672,329,795,097,014,
682,138,768,870,406,346,504,590,169,088,895,373,935,083,502,735,582,728,685,
181,424,243,569,522,521,802,408,446,121,104,005,246,095,544,808,277,602,729,
479,912,876,011,648,016,258,265,228,232,790,131,726,527,997,955,366,358,512,
465,866,704,578,465,245,393,231,680,395,893,640,178,608,866,654,590,784,648,
480,303,546,978,945,119,116,398,421,001,286,453,749,457,026,019,216,503,830,
082,104,242,224,066,112,576,039,368,493,560,150,689,739,780,313,116,649,128,
416,650,607,798,224,342,395,067,894,760,214,952,972,998,099,590,995,249,546,
669,917,246,041,064,939,133,849,503,779,036,078,776,072,294,301,090,307,410,
893,051,626,778,539,695,746,070,002,774,279,281,500,703,881,029,391,371,566,
192,220,552,186,427,917,045,484,218,275,372,524,802,288,009,207,714,223,154,
565,243,663,756,623,392,094,604,515,336,166,542,870,952,252,350,093,582,903,
026,469,584,708,093,306,706,149,228,278,078,019,553,138,112,601,449,433,245,
921,006,035,368,234,312,395,569,394,998,650,839,512,424,711,955,521,491,736,
874,414,918,978,852,613,075,292,044,797,785,123,961,631,499,148,599,624,701,
470,467,619,381,154,787,742,202,865,635,321,907,179,732,278,752,499,760,442,
369,550,263,301,660,926,303,433,520,870,623,885,097,896,532,126,988,521,093,
772,408,383,485,330,051,444,656,494,205,833,202,074,672,159,077,949,922,413,
179,057,519,504,240,994,453,491,456,547,768,367,186,048,521,371,228,953,537,
720,538,803,406,394,512,389,673,324,272,044,469,016,093,538,474,217,912,258,
464,737,516,093,051,097,844,071,452,023,888,330,967,160,147,211,553,101,910,
053,646,703,362,965,051,193,731,426,396,015,732,565,895,193,019,026,996,860,
358,219,733,449,352,821,534,400,115,989,592,304,397,458,156,951,383,295,661,
951,163,589,909,204,790,233,336,711,525,883,993,025,588,239,471,124,979,651,
944,162,297,578,108,432,446,514,427,748,340,018,358,870,777,911,246,515,195,
241,120,392,217,738,971,641,475,955,052,335,706,468,467,469,408,252,083,639,
658,734,638,968,195,353,068,789,864,468,198,012,931,530,486,519,168,534,419,
989,710,817,688,372,019,637,836,458,900,361,834,513,654,127,156,551,330,915,
344,183,216,004,263,152,665,811,088,904,255,831,976,808,626,836,012,637,604,
638,898,565,043,548,344,707,112,159,339,997,773,920,798,951,611,081,059,292,
706,556,160,208,845,291,589,061,068,355,361,161,466,459,561,287,821,300,696,
432,746,195,610,108,390,095,739,778,874,919,638,913,535,717,240,134,048,601,
013,163,993,310,808,869,978,012,781,190,011,846,817,702,924,015,607,219,948,
170,552,069,284,487,004,931,124,009,758,570,139,208,480,526,619,955,369,326,
637,338,340,135,734,175,017,327,409,997,144,430,242,147,540,603,408,700,146,
142,616,892,152,865,290,643,462,228,399,301,364,382,277,033,224,510,647,799,
686,364,834,142,003,084,182,853,695,928,513,880,413,608,423,658,406,756,584,
527,671,924,416,863,962,867,368,445,789,245,563,019,898,702,805,259,633,576,
509,310,278,446,734,357,085,686,284,847,307,361,449,030,505,695,841,464,121,
710,582,919,547,060,182,020,652,326,104,130,459,603,294,660,340,896,002,294,
390,547,409,983,790,009,563,489,064,572,615,260,685,767,912,208,231,151,282,
493,938,036,254,043,678,539,210,406,077,263,106,936,663,152,924,845,800,735,
072,553,924,561,115,642,657,289,078,814,479,542,672,000,674,986,348,863,416,
982,000,521,187,298,026,107,182,735,178,160,785,974,000,112,412,980,516,399,
522,843,933,729,051,569,552,470,958,794,447,368,389,542,162,757,698,964,032,
884,271,068,873,442,728,633,065,777,798,554,590,428,046,477,338,294,105,631,
894,462,213,413,260,816,200,006,571,409,456,100,190,702,590,971,944,612,758,
814,172,325,605,592,810,607,815,446,694,127,380,633,508,206,736,424,324,313,
201,448,316,902,158,155,797,030,224,106,416,752,367,663,351,285,864,303,655,
857,254,279,900,009,241,594,536,252,369,692,309,071,524,718,270,305,420,475,
514,898,617,870,830,763,134,907,698,814,910,556,737,195,317,099,904,624,773,
815,862,366,235,996,852,132,220,713,828,161,971,252,936,781,087,805,841,612,
980,603,905,815,768,509,806,325,503,777,381,158,227,934,188,083,553,418,306,
917,809,302,867,236,782,195,426,257,816,163,606,546,341,252,541,503,288,343,
192,359,617,833,938,638,396,051,460,009,541,210,263,454,749,767,750,656,020,
563,640,256,590,723,208,855,507,455,216,465,614,445,992,390,568,711,906,971,
907,925,366,675,435,413,838,932,850,600,891,753,594,614,209,916,427,803,904,
340,555,860,936,372,698,637,207,824,897,350,128,095,120,696,786,114,819,165,
253,239,831,645,066,942,281,476,314,203,128,468,438,440,967,351,447,978,634,
764,574,658,285,088,635,599,149,160,191,299,849,028,762,554,599,865,160,199,
449,856,960,716,951,201,475,513,062,781,016,910,717,805,847,632,020,848,788,
012,523,058,496,796,624,819,279,583,808,908,157,034,977,033,244,582,869,425,
632,397,596,598,508,319,313,756,135,601,950,627,347,373,337,023,613,259,892,
755,274,595,990,513,587,876,025,859,454,748,545,830,423,013,427,178,113,507,
070,398,857,861,309,169,720,251,087,574,204,113,000,914,460,130,298,097,738,
146,227,573,317,808,205,491,484,160,622,792,639,149,103,654,958,970,597,582,
862,381,002,018,152,712,343,480,461,766,764,721,712,924,106,318,577,041,068,
836,231,612,871,209,938,058,290,403,239,676,413,448,565,660,714,912,757,072,
610,156,248,387,308,549,303,177,146,971,112,216,816,463,679,034,926,907,305,
738,831,971,349,500,979,660,140,626,181,109,067,014,995,493,709,075,010,685,
040,740,630,967,820,789,293,070,857,390,458,983,745,271,415,023,324,704,970,
109,846,141,896,160,506,657,987,882,918,484,885,129,548,592,015,447,587,310,
418,968,256,905,906,305,726,775,954,722,623,482,408,747,533,864,904,472,637,
492,375,358,240,603,958,703,605,717,662,299,980,993,338,475,543,374,975,742,
692,838,020,510,366,050,696,096,246,007,348,185,651,443,609,146,725,951,886,
961,219,345,056,286,178,329,982,698,605,284,081,390,981,625,363,143,850,783,
753,356,698,288,209,328,430,552,319,365,802,228,787,264,156,558,712,392,081,
832,030,875,635,250,036,148,592,059,685,970,652,520,702,123,606,697,733,015,
246,333,020,059,956,774,552,989,516,712,651,489,020,261,396,461,306,965,193,
984,047,556,042,936,927,412,730,923,731,704,227,120,981,760,493,294,702,525,
980,765,051,298,731,336,010,678,813,676,206,271,411,458,680,470,455,367,508,
083,843,567,716,054,959,893,934,863,022,951,456,482,902,596,771,386,675,420,
192,339,640,974,259,323,240,076,023,752,797,982,298,261,967,773,781,500,493,
639,574,865,735,126,125,442,783,371,457,099,334,494,100,115,775,093,230,105,
820,941,445,954,000,792,511,516,399,511,073,132,670,446,416,733,006,067,962,
388,933,990,645,901,735,272,283,385,032,284,154,319,851,815,147,537,811,850,
150,703,951,390,389,520,447,386,599,444,295,896,164,908,456,964,250,417,910,
476,952,304,806,063,864,159,933,847,802,278,395,152,437,912,465,624,005,617,
089,098,381,004,716,964,561,384,997,276,182,289,405,739,432,694,315,020,532,
871,816,349,648,025,226,468,414,352,729,451,377,698,242,618,483,330,266,624,
624,877,642,330,629,079,079,503,814,812,443,655,647,151,371,705,103,174,680,
486,093,851,076,854,703,989,947,643,175,409,578,936,950,638,133,560,217,240,
070,473,707,231,295,642,262,084,936,668,563,820,394,323,044,043,033,508,596,
861,938,078,816,123,797,316,201,186,899,037,067,649,499,493,997,449,052,594,
879,555,747,315,481,461,015,524,830,148,634,638,501,014,674,494,871,018,883,
791,778,108,589,201,106,555,483,797,654,424,059,043,007,299,552,995,972,270,
244,630,726,859,546,140,370,990,168,958,283,057,571,726,242,934,666,671,505,
799,089,116,137,648,045,997,117,564,696,678,258,631,114,089,163,454,295,860,
607,003,370,213,047,160,938,790,449,954,599,610,666,354,075,040,081,602,997,
038,902,328,198,277,940,231,993,201,176,897,303,052,211,990,755,698,515,351,
970,181,643,719,768,414,260,739,920,820,587,177,984,392,615,341,388,725,547,
588,637,285,567,840,193,920,852,718,405,324,578,626,446,338,792,037,520,867,
165,973,409,514,733,538,937,294,725,064,786,422,045,270,165,036,413,819,066,
367,614,551,572,582,632,913,796,778,022,014,193,934,309,004,347,293,898,564,
169,007,511,085,044,006,923,792,970,455,477,144,195,441,703,647,411,424,962,
822,578,211,714,440,751,471,153,688,201,338,176,405,907,839,256,872,461,258,
159,073,155,356,898,251,188,369,765,005,629,308,074,664,634,346,307,558,441,
703,232,618,485,190,763,919,927,362,499,576,419,633,635,073,781,540,233,941,
864,616,700,105,736,327,417,374,597,288,020,471,183,460,067,315,365,960,041,
319,037,057,365,322,069,804,167,793,596,222,407,800,796,186,448,840,194,993,
512,639,425,792,933,120,268,522,688,120,935,641,417,662,141,547,704,824,114,
641,573,403,424,566,926,359,431,152,890,970,706,040,455,296,529,420,763,323,
119,550,848,625,469,230,548,742,062,784,854,201,586,131,795,790,804,320,351,
675,083,865,670,174,616,321,255,574,692,627,006,090,502,220,132,489,550,712,
930,861,473,909,468,023,376,359,275,840,195,656,312,293,594,036,185,198,196,
153,065,373,984,456,456,257,117,751,853,808,391,510,661,795,912,449,441,104,
874,285,048,377,925,644,724,475,341,475,799,071,196,517,968,794,763,646,730,
370,278,253,840,239,698,140,531,788,497,918,932,096,109,925,583,790,649,798,
343,911,685,036,211,051,103,443,637,315,253,653,954,656,427,829,239,143,978,
565,671,975,509,791,527,695,913,990,049,341,145,946,433,213,426,268,131,410,
284,660,123,239,933,450,153,187,870,270,822,658,205,241,169,057,763,646,054,
587,114,465,115,819,718,161,048,339,123,784,681,468,275,537,459,043,271,286,
937,890,067,183,123,710,819,789,706,133,329,423,682,229,451,973,947,999,939,
268,855,889,861,861,569,843,683,208,225,708,760,929,552,044,981,552,431,942,
740,696,607,267,015,778,261,189,757,196,315,821,053,360,311,030,360,085,923,
850,470,776,187,451,533,004,661,756,047,631,626,110,579,032,234,044,518,552,
297,408,834,682,512,156,348,426,545,636,214,529,225,043,898,776,357,955,940,
546,102,020,066,633,040,097,897,481,889,227,489,241,037,870,094,488,758,494,
685,555,681,542,685,995,179,185,964,523,252,842,574,961,346,888,867,087,198,
877,880,093,571,969,645,536,536,881,528,258,792,742,035,784,429,305,957,310,
792,097,292,347,020,114,485,648,231,265,757,929,274,618,312,578,013,735,455,
147,654,887,627,528,883,191,465,667,965,490,960,760,087,883,779,451,919,337,
533,390,702,003,940,330,423,577,436,193,880,763,834,973,020,264,340,744,604,
208,046,967,688,892,643,328,478,142,588,540,053,774,971,281,315,877,773,400,
199,017,569,444,748,101,443,582,529,312,164,807,933,206,939,839,706,505,997,
917,899,835,019,155,473,871,085,977,037,194,955,152,598,154,173,736,677,567,
686,827,309,673,394,401,864,092,499,997,297,369,327,250,413,811,129,390,785,
298,949,310,174,198,696,292,508,302,600,041,372,875,650,582,845,594,420,288,
225,508,969,622,494,080,038,195,290,147,667,442,191,646,285,507,455,387,272,
620,393,460,915,115,007,061,795,759,252,456,630,255,609,600,984,191,252,118,
735,051,237,611,050,430,202,618,131,142,034,678,179,331,445,980,380,145,163,
635,517,329,528,882,799,208,451,303,501,704,521,157,760,871,423,245,453,456,
086,058,869,555,857,345,574,676,159,346,059,556,657,334,276,377,556,525,173,
254,763,447,509,794,922,359,092,526,175,449,394,811,003,470,838,533,803,708,
240,334,943,854,306,538,678,716,383,641,156,096,137,354,586,138,174,836,296,
777,851,794,125,016,211,448,255,582,249,226,614,847,786,062,284,950,056,269,
344,743,416,479,263,208,418,546,243,034,551,893,889,499,672,970,047,444,133,
727,738,871,502,031,041,929,400,285,021,031,073,511,724,897,259,921,705,558,
205,403,221,538,887,542,501,339,030,707,994,622,634,824,556,961,541,417,031,
081,563,625,042,910,581,512,291,706,064,960,060,982,734,756,715,451,811,796,
592,087,502,621,047,695,074,298,256,624,024,479,478,700,913,316,832,287,306,
605,161,326,880,490,652,549,721,474,013,786,736,445,990,058,969,403,667,394,
201,008,709,783,111,143,172,343,021,275,628,662,183,207,146,454,816,391,355,
291,804,637,703,573,061,848,978,255,365,743,225,812,683,955,456,543,641,924,
433,519,581,179,843,049,465,776,639,906,067,837,675,281,003,767,387,299,850,
449,285,853,137,238,680,439,431,249,004,766,475,946,054,029,333,994,265,876,
767,896,164,007,050,710,078,370,901,902,201,348,935,176,937,799,693,016,678,
963,908,353,428,062,489,673,255,857,016,428,144,247,946,562,030,252,818,144,
072,675,697,139,055,470,107,463,130,889,361,370,177,538,133,895,600,181,925,
313,195,624,437,889,211,665,175,926,067,798,517,594,149,277,921,336,170,943,
410,155,012,811,975,322,519,494,851,595,597,534,460,784,726,491,877,125,364,
027,727,954,987,087,487,179,969,755,486,499,688,452,614,324,229,338,622,991,
050,033,865,314,380,624,767,786,542,391,643,493,132,221,512,398,056,136,050,
149,244,445,206,145,385,009,799,077,303,785,970,368,563,819,797,449,909,948,
964,090,556,103,888,479,326,231,808,907,275,323,498,510,183,329,118,964,434,
404,283,914,953,573,224,696,037,432,433,005,519,171,433,024,629,083,251,788,
372,000,001,039,088,397,063,759,829,451,312,874,356,745,447,280,316,980,652,
805,177,159,449,957,882,873,559,303,883,380,780,990,861,697,556,008,927,926,
377,839,489,836,145,954,618,361,609,994,092,647,638,064,948,464,261,970,737,
404,593,563,633,548,126,700,959,253,499,328,190,500,557,934,916,777,625,072,
298,518,338,922,393,052,525,687,743,258,070,048,305,578,816,330,061,143,940,
664,057,614,867,641,295,074,884,185,383,589,389,963,654,796,776,636,642,964,
203,077,605,538,766,279,752,587,876,532,884,670,994,003,160,965,614,406,620,
725,190,524,720,830,058,873,305,534,480,084,703,872,589,752,819,641,532,325,
574,979,854,593,461,122,555,045,073,355,064,656,355,910,319,751,944,456,414,
714,524,390,753,389,112,766,769,393,396,090,330,309,845,371,241,656,476,963,
739,814,824,761,843,053,376,076,942,957,401,681,688,733,331,683,464,018,076,
256,575,827,669,627,422,818,629,576,671,591,222,962,601,724,379,854,110,068,
816,506,078,037,348,888,078,202,647,451,579,988,876,971,873,872,156,763,994,
005,008,552,829,090,668,560,404,183,677,671,003,420,281,609,911,488,028,321,
007,022,057,933,673,276,838,731,486,856,754,163,874,772,300,322,971,661,714,
107,279,509,829,527,722,837,459,893,250,337,388,548,746,267,269,632,129,444,
038,082,154,652,730,445,535,377,836,112,272,095,124,873,319,616,192,053,987,
053,902,667,371,082,423,324,774,014,461,145,926,787,115,174,199,559,972,485,
265,921,815,943,675,368,075,690,344,516,823,268,831,289,635,239,682,394,824,
897,585,993,249,105,057,584,750,032,027,791,812,662,666,950,565,106,277,807,
721,094,012,869,255,964,195,579,714,685,463,362,900,961,028,002,943,071,338,
695,076,040,504,949,478,780,112,831,788,994,837,144,839,206,198,957,767,318,
413,087,048,827,433,043,384,724,104,075,214,315,376,216,325,250,932,005,998,
741,180,695,367,411,955,767,168,106,076,892,978,843,248,341,133,957,701,770,
111,091,085,583,563,381,964,591,243,248,555,704,921,870,036,633,250,897,035,
258,383,281,099,873,562,045,026,022,492,657,050,034,058,691,089,962,750,359,
243,241,788,842,376,519,935,110,978,729,632,496,666,594,548,582,838,810,020,
987,252,654,005,502,700,711,212,671,532,900,692,242,043,769,801,532,975,729,
645,635,818,487,537,488,923,079,088,620,371,977,533,003,260,495,250,720,904,
791,584,152,672,805,230,796,069,219,214,336,512,953,036,323,220,180,878,988,
997,973,121,278,285,002,796,868,517,804,162,968,125,807,599,441,826,583,290,
421,458,137,824,075,694,084,869,439,209,403,837,643,123,228,601,883,725,650,
331,360,621,628,964,339,663,736,393,700,029,516,692,202,983,338,395,903,993,
297,148,651,566,983,506,006,563,068,418,495,508,146,462,145,999,248,197,180,
506,468,252,181,898,329,208,504,124,535,838,599,790,342,709,005,164,878,882,
099,824,865,222,821,018,569,185,887,285,995,690,290,421,077,431,966,174,088,
671,061,208,170,146,952,887,502,691,722,064,939,183,242,805,840,373,471,643,
440,612,675,379,923,314,853,221,135,050,604,926,950,679,200,198,410,948,037,
498,415,388,379,785,667,986,687,645,294,749,655,770,604,946,841,581,154,691,
489,331,825,501,578,864,630,378,007,587,083,018,569,724,022,335,237,313,840,
760,519,363,254,105,031,109,015,185,726,829,868,426,345,315,175,416,370,928,
485,743,915,136,141,267,306,952,240,661,686,476,846,756,878,259,827,016,466,
761,597,080,165,821,415,772,043,955,533,378,485,991,406,642,664,612,648,410,
324,370,228,500,588,197,661,677,449,458,788,719,856,135,309,076,530,941,943,
476,370,609,237,789,829,660,092,891,221,790,286,488,285,677,068,698,287,656,
699,125,482,590,755,462,795,214,112,959,017,045,481,457,819,021,009,965,078,
100,236,908,190,138,091,039,481,656,624,473,353,624,337,312,395,869,859,052,
424,839,266,940,300,077,954,425,767,841,662,266,895,688,463,704,899,628,774,
442,454,600,104,603,094,199,172,280,177,796,210,617,070,793,594,113,954,263,
560,904,039,380,555,102,977,889,255,298,357,122,076,143,379,260,120,597,455,
536,522,258,511,078,095,491,561,571,344,224,253,169,587,364,014,354,293,346,
971,119,020,350,140,300,430,914,516,683,939,151,752,056,657,041,844,555,566,
083,807,187,554,086,531,775,930,843,837,886,322,673,634,953,807,097,633,731,
030,142,574,757,357,190,720,523,534,100,441,658,461,406,363,171,336,599,352,
361,168,371,870,975,015,997,389,242,339,313,811,597,505,832,438,904,545,892,
247,703,284,706,162,036,909,671,137,655,109,270,969,546,637,495,838,283,594,
434,803,905,669,977,309,175,129,631,019,798,155,164,615,658,014,188,051,359,
849,817,267,936,768,969,491,657,887,751,977,531,169,802,040,729,189,554,858,
404,851,595,753,740,923,120,642,401,653,588,552,772,089,826,991,264,383,348,
855,863,255,473,270,497,217,256,195,673,046,864,876,542,444,876,794,352,339,
624,353,979,425,228,703,337,122,766,736,166,050,798,827,166,823,524,769,634,
944,601,851,201,724,241,207,446,041,868,240,907,296,824,143,722,815,699,032,
960,833,460,623,084,833,309,908,196,423,761,746,958,460,820,138,818,904,169,
207,208,635,527,608,475,252,621,097,007,175,014,404,129,415,566,623,396,658,
492,843,920,879,058,208,492,230,053,896,485,323,593,870,259,746,528,830,864,
100,336,963,546,657,830,053,420,830,478,881,730,073,041,379,342,623,394,786,
609,114,230,137,487,195,811,414,969,279,291,781,428,512,091,285,212,847,134,
568,434,976,558,853,653,994,499,365,940,903,697,658,886,554,931,647,774,051,
010,730,061,210,440,245,292,714,755,773,223,656,830,766,405,169,467,444,165,
081,799,866,140,924,977,776,604,057,926,629,571,586,156,374,135,973,095,637,
894,899,936,894,147,086,211,179,044,436,545,345,160,226,669,176,456,813,429,
698,067,100,746,672,563,458,156,070,224,945,124,081,140,626,526,922,622,013,
033,202,848,278,344,415,432,403,496,572,382,187,882,802,760,582,701,636,830,
128,479,248,880,106,738,895,738,887,619,280,294,574,954,150,526,145,198,947,
675,284,731,471,107,015,022,994,484,044,075,724,491,274,623,094,266,647,101,
425,838,002,079,957,155,517,556,946,183,311,233,502,129,704,238,761,044,635,
535,012,586,844,882,972,188,411,716,589,819,701,886,200,473,282,551,626,067,
044,598,897,370,541,211,290,264,548,407,189,625,623,000,617,163,992,366,123,
549,327,922,942,362,059,190,505,600,063,768,877,298,895,070,180,329,346,580,
310,704,574,348,414,353,152,218,712,236,587,455,814,318,786,085,275,644,754,
672,149,694,645,394,919,268,241,028,104,678,337,886,420,141,051,046,806,604,
612,711,424,425,839,606,909,616,099,161,302,455,837,495,164,425,993,478,381,
365,214,037,824,822,511,349,000,118,304,820,140,727,868,417,397,543,105,783,
797,540,081,951,770,226,440,796,080,294,866,292,049,375,007,982,706,756,707,
537,233,959,120,748,868,593,120,875,807,881,960,756,631,988,428,246,645,148,
004,309,727,694,333,984,206,402,377,805,461,478,219,573,161,682,076,416,692,
174,924,953,786,475,120,501,095,199,743,636,126,473,956,812,457,117,137,354,
494,621,705,375,743,844,707,216,344,362,068,776,009,215,347,591,418,240,103,
631,826,929,068,439,757,181,317,439,473,630,720,304,481,785,160,509,466,208,
065,627,513,185,779,162,466,365,352,773,598,623,409,422,394,627,013,084,414,
459,524,932,383,587,783,564,014,587,875,594,826,168,091,011,540,616,353,983,
314,562,518,190,508,364,958,664,574,644,282,806,655,835,365,230,621,463,496,
389,627,919,109,716,076,054,690,608,043,880,112,359,807,673,140,629,550,887,
732,398,391,955,178,053,932,980,179,863,098,731,410,638,803,194,862,816,052,
340,093,118,626,288,826,921,767,709,910,890,374,991,714,001,294,595,700,226,
476,158,621,008,811,770,231,116,876,316,499,516,662,179,245,319,191,670,142,
907,754,271,035,279,425,345,040,456,498,806,479,005,409,504,276,553,333,466,
280,771,187,933,139,231,516,120,208,746,710,651,411,052,109,026,176,186,697,
352,424,114,233,300,252,836,365,804,182,318,862,916,097,307,841,785,644,361,
373,253,398,272,461,496,716,560,071,224,081,739,817,189,438,034,378,456,918,
870,090,637,566,027,441,796,805,190,133,228,342,412,164,369,217,345,978,938,
573,874,113,649,505,469,926,277,251,843,375,862,166,656,854,220,141,306,094,
605,217,791,358,475,900,905,506,827,393,860,506,131,429,174,962,250,074,141,
508,432,896,583,993,317,801,645,016,807,652,977,156,178,180,143,211,433,483,
601,688,094,486,878,849,749,689,166,134,678,314,792,606,800,383,669,284,371,
144,399,030,888,580,422,184,918,544,015,329,059,519,376,623,571,901,250,188,
573,868,507,977,112,853,402,300,383,295,140,754,598,819,041,783,411,625,778,
173,502,983,108,695,653,300,778,319,231,635,078,366,088,395,477,321,388,748,
693,581,960,372,255,028,294,813,268,963,207,702,979,191,613,659,833,609,240,
895,933,677,266,438,010,512,939,048,822,666,832,501,616,271,588,511,175,210,
991,322,748,151,537,889,275,280,459,925,943,634,937,951,955,429,170,883,384,
997,860,894,501,873,591,097,307,247,096,174,512,926,956,419,898,869,602,156,
658,980,872,543,996,030,560,228,410,381,298,777,773,940,681,754,960,664,392,
988,741,963,132,673,724,163,322,939,213,350,299,398,071,896,753,766,905,376,
288,305,015,695,013,651,758,968,508,270,313,636,232,323,069,570,939,009,506,
863,712,325,161,566,218,526,010,539,933,720,303,420,065,565,012,381,323,122,
634,162,155,432,675,213,833,972,308,334,570,472,956,700,770,927,772,602,409,
146,153,552,322,222,406,649,658,906,486,705,144,775,869,837,109,878,519,158,
737,554,033,921,258,408,348,864,581,633,311,859,663,900,868,432,957,057,484,
595,094,291,389,986,691,888,515,916,028,250,623,635,154,360,529,215,962,433,
888,314,627,951,127,563,730,488,454,540,146,591,600,999,366,283,705,898,940,
689,865,019,752,267,903,693,067,679,549,578,210,750,415,575,769,430,192,932,
679,588,420,114,423,610,374,937,569,590,656,993,706,918,211,560,778,043,387,
525,116,629,231,596,452,638,170,564,385,208,145,917,009,142,220,127,703,445,
681,410,769,982,678,763,701,831,457,975,654,630,349,013,452,814,989,565,648,
480,179,189,921,084,011,802,450,902,517,011,857,439,175,660,599,063,097,674,
563,803,342,561,907,069,466,664,502,292,536,868,210,612,177,681,620,572,872,
111,454,032,822,663,480,221,507,932,008,174,550,789,809,227,373,522,801,466,
318,658,530,446,788,660,963,909,503,731,671,705,968,075,405,805,899,740,511,
662,883,968,842,871,461,887,320,809,529,221,804,624,842,903,143,020,876,130,
947,804,303,494,082,923,786,232,739,411,842,837,474,670,906,314,136,766,078,
486,796,437,244,768,048,129,461,592,201,499,821,462,828,822,058,965,887,288,
466,450,111,518,424,499,903,374,272,719,791,762,619,680,128,631,831,155,148,
121,332,353,127,244,484,746,381,055,861,966,100,917,642,233,524,735,997,923,
703,839,331,748,949,047,782,016,612,427,884,168,166,923,956,164,785,500,699,
624,592,181,564,966,303,396,121,110,757,138,342,673,409,970,051,714,622,840,
269,292,152,502,928,731,800,911,042,399,131,915,645,968,644,521,667,846,180,
884,682,871,907,031,784,179,499,375,332,231,253,654,060,018,078,505,822,541,
930,958,838,839,630,968,447,870,558,797,194,798,586,281,798,252,044,803,226,
998,425,425,800,163,154,473,257,095,233,051,602,829,657,828,323,750,965,805,
565,641,833,740,565,777,533,646,789,861,592,249,972,688,079,148,462,707,171,
902,919,856,257,918,270,924,308,448,775,348,441,808,190,723,356,235,343,184,
956,027,283,546,470,938,704,440,591,028,860,716,226,174,234,774,975,663,423,
734,030,922,177,577,921,357,342,633,501,567,712,812,002,531,683,586,670,344,
080,769,028,512,845,918,759,306,583,628,556,001,650,517,407,876,672,292,745,
225,852,149,408,481,463,861,053,652,577,123,983,917,423,311,188,017,165,201,
166,626,171,505,626,207,918,236,882,815,491,902,260,086,881,257,610,131,071,
387,238,802,831,082,656,718,666,435,774,416,691,084,635,047,783,716,826,558,
898,772,124,389,551,389,311,809,965,515,463,344,774,605,435,457,280,065,434,
997,769,214,296,970,564,761,775,736,974,834,540,010,327,161,385,279,798,024,
581,826,689,298,910,456,943,641,001,809,620,529,870,264,280,409,645,860,966,
533,324,296,099,609,862,880,299,136,130,170,527,748,491,961,233,824,724,730,
888,653,568,817,286,797,542,318,821,328,386,746,519,652,233,547,352,679,748,
618,915,408,856,822,137,517,210,226,005,930,613,137,698,291,236,773,067,303,
664,116,644,539,524,197,508,612,913,815,246,098,876,162,900,852,962,767,781,
768,993,550,872,039,991,665,514,931,783,427,915,068,595,179,523,812,537,496,
208,526,821,208,909,604,462,302,351,322,441,640,777,876,980,926,035,589,902,
855,004,075,383,933,288,696,715,474,076,064,844,227,464,363,918,761,319,525,
054,818,052,626,536,478,970,589,568,126,601,698,047,643,161,268,253,768,402,
644,290,463,855,560,031,722,517,198,292,093,338,034,407,331,960,864,191,642,
407,313,484,673,352,514,102,098,080,564,712,898,836,475,584,624,688,968,131,
797,233,291,136,973,618,000,706,667,953,120,238,919,961,589,757,015,153,080,
573,532,760,988,238,761,691,830,603,623,034,509,610,288,889,029,562,842,143,
898,011,888,776,015,259,447,143,724,266,556,606,107,375,634,011,317,690,331,
731,705,634,305,736,263,434,493,856,337,966,329,204,508,250,151,696,933,519,
988,092,391,944,390,476,662,893,237,364,447,066,506,582,212,459,669,579,194,
538,925,016,364,025,049,581,970,987,338,186,489,437,571,697,135,474,338,529,
523,174,573,097,925,753,595,999,967,846,306,013,346,843,732,530,698,061,567,
175,318,945,892,402,052,832,713,721,999,076,397,976,761,607,407,611,368,297,
749,135,283,666,341,813,588,578,462,425,324,131,756,668,070,979,887,666,674,
204,018,514,813,237,391,034,960,345,915,361,374,361,973,379,044,782,104,869,
773,179,038,220,589,071,654,280,295,986,038,780,903,880,774,022,185,529,737,
849,494,900,821,118,765,648,185,253,298,375,972,866,952,707,062,493,898,511,
138,645,113,216,499,430,246,287,980,824,028,471,533,122,739,994,808,329,307,
092,341,445,801,494,719,143,815,914,648,001,033,740,966,389,589,087,135,325,
622,747,112,124,451,672,672,039,147,595,298,448,218,575,845,005,690,571,517,
838,976,064,430,135,349,249,586,084,683,873,111,011,799,848,593,479,539,437,
886,570,746,678,757,829,097,630,666,072,506,727,420,385,256,669,855,940,026,
078,443,094,016,130,613,021,299,273,113,019,017,027,248,393,065,548,279,493,
164,124,003,009,097,819,269,109,654,599,869,897,685,478,285,000,180,501,311,
318,769,387,575,182,853,803,910,243,974,357,877,929,454,284,956,220,645,978,
259,908,559,132,828,922,520,402,369,978,984,396,743,608,249,881,706,104,627,
549,673,585,241,478,830,844,442,946,727,369,518,526,710,565,374,638,877,293,
298,640,295,752,214,012,488,688,272,919,175,425,367,891,008,365,350,846,699,
667,158,639,450,884,326,059,346,316,244,560,430,294,323,324,741,373,329,236,
901,537,345,201,673,696,630,601,999,847,693,255,047,092,451,530,050,884,021,
494,652,578,529,452,986,147,682,731,845,167,584,843,082,815,913,750,996,243,
955,388,563,231,623,877,499,421,786,503,181,914,153,607,726,891,129,472,535,
592,793,987,073,442,185,586,340,278,390,450,863,266,982,768,933,149,467,044,
761,278,024,755,849,829,545,306,974,583,136,448,726,210,623,393,690,671,932,
245,443,862,355,757,621,759,163,416,225,379,599,371,424,641,885,073,146,902,
237,001,999,584,421,928,535,011,016,551,164,312,368,896,118,269,557,201,588,
442,242,920,420,373,485,077,328,138,077,058,301,967,802,445,877,285,523,765,
990,724,824,620,850,990,952,541,167,857,260,130,368,644,485,987,195,811,632,
284,150,749,495,879,928,310,781,152,965,650,086,360,851,844,134,865,194,176,
914,150,579,419,097,770,507,550,191,740,803,029,968,901,070,066,409,012,234,
704,993,268,009,596,509,702,458,337,387,072,676,493,591,007,155,937,819,780,
096,652,623,638,070,008,553,287,772,165,503,312,998,004,566,727,351,846,452,
469,149,113,113,671,933,035,102,933,208,027,955,241,503,331,465,739,221,470,
721,683,176,150,879,878,067,411,156,864,179,238,434,890,729,303,506,022,514,
613,561,692,568,221,120,379,771,438,622,646,658,902,323,198,710,641,746,525,
344,261,245,598,187,456,127,819,785,178,916,642,993,630,657,915,054,322,918,
152,171,661,032,709,438,335,959,605,909,637,818,956,737,045,124,334,827,795,
151,094,023,375,316,243,407,159,900,652,311,830,433,502,966,700,689,678,505,
973,157,304,801,568,578,228,768,243,694,110,398,315,244,400,075,833,157,052,
623,957,564,873,731,370,482,477,461,918,843,030,112,137,455,824,868,650,939,
871,926,207,310,613,638,840,384,566,835,547,363,962,100,658,793,735,799,925,
850,864,545,163,444,226,448,114,920,766,786,804,564,698,610,085,119,232,257,
761,183,871,314,762,581,310,102,323,039,452,686,163,781,176,507,624,690,691,
263,342,175,519,661,112,333,446,926,969,914,987,236,344,815,292,155,743,909,
831,933,741,397,580,480,859,451,787,646,935,271,435,690,651,337,805,366,587,
582,581,064,599,887,764,413,632,659,278,511,645,984,940,247,276,474,920,366,
939,043,033,823,430,714,548,797,956,351,746,050,858,352,490,750,172,175,224,
456,476,368,845,328,374,355,642,561,068,693,152,981,128,209,414,432,188,880,
125,072,323,935,523,702,387,354,963,095,361,025,316,166,222,061,131,432,670,
152,926,212,350,277,665,154,981,544,005,421,964,584,919,893,699,952,681,259,
691,156,570,466,259,877,131,346,673,728,008,101,661,424,084,190,907,782,189,
763,684,996,816,108,200,679,192,068,509,987,491,184,096,016,906,898,001,749,
738,374,536,279,373,837,413,847,601,904,272,494,471,887,603,756,078,263,178,
414,998,211,518,067,322,151,495,125,389,195,298,181,581,291,824,201,436,944,
937,351,909,234,296,279,908,541,155,218,442,948,710,131,870,544,202,991,496,
678,195,089,727,840,921,808,256,201,551,240,961,165,205,810,562,127,924,060,
939,927,852,251,761,832,184,732,134,919,531,704,987,550,253,381,551,535,857,
644,017,538,816,428,176,699,204,129,240,324,141,861,238,625,817,132,451,581,
657,459,720,837,275,708,641,276,954,279,886,808,962,988,868,874,932,936,715,
589,595,293,047,945,384,281,011,343,484,604,062,190,327,394,104,663,862,585,
108,273,635,446,878,254,856,720,417,437,287,412,548,211,475,467,054,947,182,
337,299,996,601,984,375,979,851,389,491,462,211,616,856,718,009,032,584,907,
892,650,042,819,459,751,158,946,642,918,822,102,896,244,797,964,539,285,659,
547,918,760,898,309,994,510,776,193,710,153,711,874,266,475,208,315,403,275,
021,797,525,462,074,420,394,207,551,044,400,887,444,129,707,816,887,809,002,
116,512,401,109,443,874,361,396,267,068,632,670,720,563,478,107,996,662,496,
076,348,360,014,638,587,346,530,015,413,459,570,169,599,364,482,964,458,804,
168,849,667,876,634,211,376,909,189,604,288,553,530,378,078,478,880,106,577,
489,317,945,840,197,641,713,616,684,903,970,605,297,896,305,193,328,938,112,
814,694,142,940,460,581,658,365,491,783,915,460,851,975,937,516,084,833,313,
346,213,782,879,171,059,877,929,136,602,321,384,595,037,273,278,874,313,620,
941,447,230,488,484,637,870,456,937,776,161,274,079,629,684,345,051,206,409,
634,498,310,118,933,480,179,973,952,012,847,530,502,587,553,625,031,642,677,
495,234,051,487,416,591,091,694,337,528,422,791,106,484,343,384,677,029,152,
365,308,793,638,782,728,116,644,443,642,412,344,827,364,956,718,521,230,221,
937,636,794,248,806,569,061,644,595,831,882,361,326,923,448,872,317,820,631,
284,389,485,555,151,547,136,945,085,210,560,591,747,720,369,650,432,428,146,
621,389,101,734,537,763,184,299,171,219,591,482,087,637,200,621,557,773,057,
481,675,061,252,178,343,547,396,613,331,420,494,954,821,357,607,443,701,772,
236,365,725,345,557,389,951,925,672,244,257,632,688,319,113,708,373,705,417,
330,080,116,526,104,803,130,044,827,613,065,305,813,612,569,075,077,956,490,
144,060,010,500,571,056,695,730,218,843,060,251,198,804,691,802,286,469,271,
011,244,375,035,643,931,496,449,276,566,584,018,432,868,364,009,078,785,295,
563,183,600,855,582,164,027,076,558,658,409,425,623,048,578,565,957,701,491,
818,774,260,838,077,125,967,303,615,578,916,907,149,740,955,270,343,076,030,
210,349,145,333,724,246,945,155,140,988,452,484,768,873,435,341,448,188,957,
573,683,152,417,027,342,433,581,376,280,599,944,320,889,677,459,793,827,727,
922,143,147,091,042,802,671,050,348,358,028,268,069,716,283,387,962,030,455,
697,312,212,404,816,577,762,135,898,403,716,365,237,418,762,461,300,458,517,
057,608,521,155,318,316,939,275,897,463,549,421,035,284,186,415,710,149,280,
881,073,199,609,928,542,996,214,415,086,876,614,493,235,438,648,823,849,421,
569,923,991,967,698,569,114,600,935,663,697,104,362,338,898,442,374,937,475,
923,671,429,560,702,230,633,917,091,315,459,684,182,404,747,789,935,962,392,
044,441,701,463,646,291,696,058,638,367,060,776,921,931,075,394,356,696,331,
095,239,880,667,514,325,377,215,883,987,065,756,053,774,776,177,793,629,605,
858,405,594,385,436,073,591,246,378,097,695,752,993,086,531,707,013,295,491,
987,777,401,222,609,522,966,712,922,030,020,018,619,110,277,324,580,261,551,
566,011,126,549,458,570,497,241,494,842,116,031,300,733,820,424,934,112,393,
297,145,786,377,411,448,431,485,018,925,088,562,639,791,141,907,258,290,278,
316,759,907,651,087,516,497,161,883,488,012,174,795,848,746,097,679,252,170,
228,753,876,596,455,595,556,352,136,626,667,001,639,168,746,311,110,022,505,
859,047,842,815,279,179,823,965,579,775,060,916,090,381,591,911,679,160,301,
860,044,825,172,617,899,319,678,793,647,635,600,139,208,330,845,022,330,477,
003,280,137,786,186,724,500,363,516,358,294,567,967,112,290,924,442,784,933,
853,352,135,556,364,045,349,316,131,608,561,366,233,717,562,789,933,475,345,
879,583,865,169,473,094,529,643,747,258,908,479,801,838,460,801,753,967,114,
712,172,414,470,016,914,339,719,697,313,022,068,551,594,249,615,331,291,245,
578,053,970,856,192,256,470,715,001,768,341,002,116,852,319,617,687,439,245,
589,071,354,270,817,621,782,947,116,329,295,597,755,246,079,440,316,993,850,
385,024,923,256,726,123,639,795,767,163,856,519,849,552,099,853,677,186,967,
895,389,672,248,613,015,541,575,676,996,748,955,848,000,974,280,620,542,345,
952,931,193,524,846,148,518,104,658,879,811,556,509,434,341,005,796,402,190,
997,371,760,612,974,478,213,237,886,806,302,481,922,419,210,436,148,439,319,
940,292,201,216,870,217,607,467,690,389,351,444,796,312,424,113,150,539,533,
101,416,937,068,406,490,082,681,433,402,516,691,866,656,633,630,344,280,420,
646,915,395,443,617,797,434,853,255,202,772,626,977,301,549,791,005,155,062,
811,265,552,198,987,993,316,722,945,224,612,037,186,479,066,656,735,859,610,
934,638,417,354,581,286,845,513,113,728,052,033,836,529,120,663,690,915,408,
382,798,647,019,145,449,920,607,755,246,839,343,420,909,734,710,263,977,810,
137,174,418,106,116,231,253,137,732,511,336,382,139,258,173,612,155,384,054,
777,770,206,404,859,420,607,955,886,520,991,529,656,920,807,785,206,482,546,
303,745,168,548,340,572,455,033,959,846,438,226,582,878,179,918,137,384,631,
689,763,582,169,554,034,507,704,547,970,949,527,636,955,757,656,797,403,796,
938,597,431,432,999,438,721,129,315,677,629,893,449,382,129,758,465,665,174,
467,959,683,452,767,814,053,371,364,751,129,487,739,847,327,127,990,609,936,
302,077,717,468,694,096,080,248,405,620,202,134,555,180,420,805,230,744,489,
483,392,909,225,371,749,525,249,041,200,044,036,994,895,832,830,695,047,164,
769,197,621,083,599,553,561,254,668,558,810,931,944,137,503,197,942,937,389,
467,753,294,087,533,897,590,754,620,287,834,390,047,999,322,973,369,438,733,
364,175,162,196,414,050,945,605,001,073,886,263,771,492,083,408,729,641,222,
311,653,752,933,967,140,381,692,097,848,630,016,954,347,639,573,065,541,331,
370,782,614,990,768,450,205,131,383,507,782,369,341,372,882,285,432,236,215,
551,301,047,435,148,196,577,621,617,420,104,032,147,142,818,889,712,941,263,
171,391,168,284,607,753,419,845,297,463,846,588,064,294,169,146,911,211,742,
913,379,188,156,474,445,785,796,359,614,843,505,147,914,706,824,691,271,735,
432,575,320,540,724,234,731,916,106,760,204,869,000,146,628,888,136,944,253,
805,103,957,807,331,541,104,669,147,473,425,278,812,787,143,940,012,896,822,
018,594,123,711,175,556,865,621,805,737,355,233,479,395,559,216,138,094,411,
119,484,201,344,163,203,263,406,847,685,484,867,672,876,283,065,926,378,396,
922,792,645,386,259,911,757,756,957,176,400,482,013,631,582,439,202,170,925,
095,784,654,142,932,043,717,134,791,000,473,367,836,756,068,829,314,875,150,
857,579,038,075,142,283,218,171,669,284,528,462,372,740,789,336,194,683,635,
688,238,239,277,812,123,481,725,642,093,848,486,158,368,237,034,172,673,425,
499,658,642,501,542,595,386,870,595,439,805,659,622,198,965,709,114,597,628,
326,409,195,092,565,135,324,987,516,311,000,552,218,427,376,677,990,969,949,
132,187,483,501,785,812,234,628,698,134,062,667,228,589,125,051,426,889,706,
158,224,552,720,007,130,027,846,673,519,094,704,130,341,077,070,028,737,436,
315,261,607,783,355,206,123,485,043,479,480,796,810,903,623,886,625,876,790,
795,642,651,988,081,472,434,254,108,486,972,228,371,691,293,499,627,128,152,
039,615,134,070,505,916,177,832,263,500,867,366,199,322,126,526,041,594,421,
720,810,335,136,722,637,006,418,155,338,554,139,720,290,896,779,592,340,458,
085,563,604,583,508,607,165,783,913,686,832,738,316,490,418,580,659,187,586,
467,612,541,115,279,325,952,470,259,406,863,076,547,648,355,600,416,998,082,
842,726,835,671,593,205,351,244,359,918,180,115,630,806,721,819,532,553,637,
089,379,424,673,856,740,791,871,757,858,409,410,368,771,439,638,638,645,201,
767,469,743,915,985,861,821,546,691,218,968,393,684,328,612,945,826,050,437,
102,263,768,474,639,988,671,223,758,781,097,975,712,312,345,332,287,892,890,
883,932,114,363,136,315,551,116,048,553,201,256,700,961,379,963,484,485,595,
859,086,181,191,045,756,356,275,566,243,255,980,338,490,130,564,423,038,487,
828,110,811,820,907,247,836,719,639,362,063,835,209,450,821,246,422,870,045,
018,383,497,715,854,917,966,936,637,675,092,238,943,967,094,458,990,063,903,
405,720,544,222,689,717,371,750,731,177,107,232,114,948,597,227,298,200,544,
131,061,356,622,759,160,454,864,935,322,912,625,657,746,660,622,154,609,423,
730,666,486,404,516,214,362,046,038,146,991,334,458,465,709,815,996,493,638,
087,871,018,143,230,469,234,544,837,234,986,882,820,974,717,037,786,338,656,
453,050,316,577,577,762,754,754,533,041,391,415,740,674,607,323,547,023,982,
645,800,282,013,838,853,447,614,624,286,969,976,106,617,064,136,419,586,970,
875,121,725,858,762,989,677,253,241,044,903,964,668,107,399,978,458,507,859,
023,733,422,613,872,689,169,994,247,886,856,341,773,423,810,319,437,863,667,
606,058,366,111,486,052,684,594,995,944,869,732,059,108,798,852,325,665,729,
882,437,951,422,185,124,554,496,195,108,347,201,608,160,811,808,148,187,506,
612,059,222,447,799,542,190,595,170,159,562,201,594,072,412,177,125,442,620,
610,505,798,616,300,810,818,709,974,863,502,839,207,019,612,736,059,887,627,
345,811,663,460,857,810,484,178,917,627,949,261,193,019,818,272,260,169,047,
872,534,093,651,212,512,616,528,094,615,776,311,521,749,767,558,570,255,824,
557,527,289,323,662,262,716,604,282,697,116,715,794,158,253,371,251,015,051,
367,436,077,922,878,032,072,601,005,243,864,499,979,731,160,843,676,355,483,
697,700,920,260,479,407,135,162,523,484,924,219,270,414,483,411,934,981,453,
441,831,784,503,540,999,380,145,625,266,193,649,787,062,757,237,294,982,377,
176,060,747,032,002,029,053,072,958,159,805,569,196,756,054,129,175,516,166,
651,251,258,253,692,910,261,520,871,173,836,140,808,970,999,549,808,072,011,
447,799,549,407,009,017,575,061,965,071,338,597,610,819,411,126,659,388,676,
896,521,070,271,254,875,028,159,154,620,815,200,479,807,864,712,781,098,023,
454,431,423,072,291,262,949,308,980,167,625,391,073,975,829,362,659,722,486,
915,693,313,150,053,547,061,230,218,120,620,448,977,157,367,592,185,404,467,
564,831,785,430,718,400,260,545,669,409,555,415,294,750,569,965,596,666,883,
888,427,617,007,715,872,332,809,616,102,991,370,212,589,273,527,730,459,523,
702,705,279,028,341,283,737,375,101,689,169,708,215,701,488,503,592,246,577,
538,059,537,415,229,919,796,081,879,808,623,201,503,598,707,423,702,919,124,
178,206,783,731,485,601,783,430,792,058,646,337,754,214,255,611,596,086,279,
733,369,159,415,990,517,722,807,331,154,764,875,931,420,264,667,618,992,038,
334,733,147,535,015,303,905,478,704,224,379,878,013,588,291,573,063,432,874,
992,339,117,006,190,556,267,211,971,193,855,984,868,076,455,230,856,971,233,
045,478,631,377,772,812,779,648,670,708,613,705,059,636,739,802,655,491,443,
571,607,640,054,392,074,976,112,922,464,751,640,464,407,288,573,172,766,963,
628,642,719,242,730,909,865,817,866,343,775,400,374,514,419,307,575,257,276,
259,596,526,282,596,758,125,519,945,437,708,630,565,179,069,043,719,297,641,
143,653,162,887,077,296,179,566,653,833,435,782,398,202,858,350,261,115,848,
567,066,340,831,232,882,834,163,314,959,231,127,135,165,399,813,606,514,268,
333,312,323,985,690,107,925,054,743,822,014,177,845,438,829,552,577,509,202,
359,100,176,047,518,559,089,109,124,042,377,825,549,651,950,117,991,869,551,
100,439,516,224,387,848,866,853,608,277,256,379,093,154,147,229,397,741,040,
501,012,876,435,530,127,799,576,445,381,911,318,647,963,590,501,075,109,491,
610,337,814,090,359,289,992,868,520,784,136,711,268,352,027,475,099,748,204,
478,316,021,277,312,105,534,558,089,417,950,248,768,117,833,053,716,074,739,
658,304,457,531,134,514,237,709,023,597,790,870,089,125,299,615,921,101,019,
540,709,273,105,827,290,909,507,035,346,341,379,060,508,332,248,083,555,453,
309,118,776,169,977,039,075,943,878,916,287,163,218,625,253,239,220,079,787,
230,105,468,020,509,500,284,011,687,613,695,131,920,745,787,347,717,964,053,
026,100,545,236,720,023,259,141,745,719,880,665,259,900,905,933,721,316,607,
593,821,700,316,235,460,304,981,906,425,173,917,808,321,008,687,164,990,732,
527,333,855,589,893,640,901,552,949,422,453,130,140,083,471,892,985,497,298,
224,929,666,007,015,816,908,670,241,685,550,398,432,327,194,138,905,190,007,
397,139,077,493,639,169,316,720,983,956,337,260,219,152,680,579,711,958,491,
485,091,379,553,811,775,830,972,944,140,548,979,298,716,968,128,970,482,978,
988,384,287,703,520,027,073,701,921,985,662,663,045,190,233,259,653,771,321,
938,350,001,217,682,722,588,084,268,901,800,379,256,141,201,815,897,007,282,
646,912,171,489,605,866,667,792,289,959,552,155,458,381,661,398,903,278,074,
528,342,687,080,134,547,057,654,178,002,397,273,345,323,635,259,616,650,643,
462,621,589,393,527,711,118,682,768,929,006,478,304,577,476,471,345,463,907,
252,051,863,380,911,625,691,473,534,684,342,177,794,868,918,958,345,380,129,
216,398,121,709,884,137,688,176,841,166,222,450,320,419,908,019,939,893,254,
160,093,929,416,928,691,340,641,449,348,624,824,011,549,756,143,081,224,755,
115,615,575,445,440,833,136,702,805,832,971,945,709,511,616,973,167,185,505,
548,146,423,014,809,719,890,899,158,542,278,582,218,526,649,569,722,327,064,
183,871,031,799,268,082,406,277,849,170,182,820,636,338,091,520,410,718,448,
354,363,850,801,588,024,183,660,196,397,439,508,218,162,444,751,626,049,927,
864,039,621,345,958,351,899,745,240,030,002,270,982,659,262,031,206,273,438,
478,816,514,655,391,339,137,803,312,579,751,930,437,963,266,179,234,032,638,
509,743,049,021,627,927,480,477,726,137,604,321,098,951,218,655,265,731,501,
248,127,460,250,546,722,208,758,077,968,650,340,056,633,608,411,368,860,003,
158,234,363,421,511,650,965,324,778,317,947,285,812,710,598,804,890,207,335,
166,783,782,581,013,959,812,381,531,541,253,746,739,817,841,122,597,990,125,
970,027,997,417,043,820,979,663,900,887,966,742,821,355,493,710,070,448,621,
008,364,882,456,497,515,931,438,645,402,167,026,181,106,451,151,187,790,459,
539,485,343,220,373,640,712,871,622,260,741,379,157,298,168,086,578,791,792,
337,814,653,670,935,064,957,479,893,947,433,375,074,385,259,797,362,170,829,
600,576,986,738,343,772,786,018,068,084,187,437,427,031,642,985,923,284,915,
110,486,566,924,353,787,185,251,775,219,483,968,483,462,427,101,334,401,351,
091,702,984,348,205,568,139,741,817,273,953,483,003,876,892,715,699,116,195,
816,834,156,519,946,993,648,274,959,674,056,648,747,103,943,101,172,811,908,
773,031,955,368,542,123,452,110,281,134,076,193,568,797,897,332,257,970,721,
236,179,369,374,564,711,394,035,544,070,896,887,229,387,753,545,297,869,374,
014,786,499,872,788,386,087,346,495,690,939,478,777,679,876,651,036,834,487,
468,548,712,133,832,777,172,767,837,859,346,497,988,032,599,109,458,694,181,
090,408,828,909,781,503,015,903,892,066,717,288,684,943,095,034,531,441,361,
415,140,368,323,907,550,341,343,466,650,945,866,076,609,395,139,895,202,014,
129,884,668,780,873,409,365,507,868,624,723,251,204,772,255,190,330,828,526,
123,043,777,530,742,988,201,196,421,722,934,081,334,952,509,548,274,610,967,
968,868,669,924,387,741,963,132,358,634,673,271,483,239,775,715,913,803,924,
112,678,001,511,933,457,294,789,113,165,047,831,048,240,185,560,716,551,674,
275,292,052,014,442,392,551,419,830,188,795,335,035,413,538,319,731,410,852,
865,143,311,743,599,825,585,560,593,570,347,509,671,314,396,865,042,725,913,
157,029,067,220,288,383,919,503,249,305,015,681,622,591,363,073,457,702,193,
491,549,771,330,637,886,671,442,863,967,613,232,735,915,420,317,995,399,248,
046,334,240,072,164,353,884,310,475,371,708,565,099,275,512,633,012,969,174,
873,171,219,161,329,153,221,505,603,920,488,711,387,039,952,998,304,139,110,
759,902,758,715,952,196,178,393,914,240,439,563,370,415,239,504,572,661,578,
348,965,905,501,381,807,670,969,638,353,170,021,064,129,399,429,242,895,993,
457,033,764,393,321,218,602,119,047,057,005,784,951,063,636,865,040,799,673,
883,622,378,388,747,424,022,026,989,372,759,857,090,234,387,155,520,281,043,
604,574,712,711,586,732,371,688,944,557,866,237,174,221,685,136,282,122,225,
080,439,589,325,284,449,064,056,063,373,392,248,270,272,738,744,484,070,566,
584,152,440,377,209,854,545,496,314,502,079,005,728,285,312,310,890,883,845,
094,017,012,224,358,973,254,683,512,237,516,299,441,276,195,475,100,761,534,
073,412,519,435,750,146,971,938,092,739,972,530,038,136,017,736,625,379,136,
206,523,213,388,591,408,621,544,096,342,150,879,356,219,897,926,087,422,390,
307,036,752,886,131,829,177,338,640,034,559,751,299,348,646,159,914,365,030,
334,219,036,597,219,460,020,759,585,200,288,320,478,767,275,047,127,166,143,
464,473,630,231,043,609,948,026,414,832,877,925,446,303,287,183,922,418,063,
989,726,954,127,939,134,638,913,401,862,790,999,005,163,543,516,750,791,247,
541,672,942,499,114,928,484,250,677,345,102,493,227,524,678,034,560,101,656,
312,192,387,688,344,107,455,271,979,279,638,280,631,965,961,704,851,795,270,
745,439,845,079,505,997,645,516,240,615,088,803,082,662,325,014,913,520,721,
218,417,320,351,928,472,090,474,605,153,547,619,619,635,307,391,382,310,335,
562,223,714,643,103,071,284,135,724,580,103,117,974,301,726,622,111,421,883,
652,315,793,184,584,048,786,511,076,132,932,340,926,887,287,199,928,423,585,
967,416,974,899,823,772,525,060,375,206,291,933,940,174,661,664,888,639,257,
043,730,987,599,712,305,438,621,025,961,154,444,463,897,221,917,630,608,371,
070,797,134,397,677,341,149,344,519,446,569,000,041,727,271,490,111,543,610,
947,435,739,488,166,804,241,324,473,597,609,489,452,604,989,955,758,858,879,
201,341,337,283,608,564,406,522,931,646,739,903,230,021,508,091,972,576,289,
603,984,380,944,729,628,768,671,891,955,128,356,743,479,280,340,669,952,657,
568,739,797,790,521,592,450,437,287,728,919,433,732,838,573,437,387,975,036,
502,497,343,471,122,267,717,556,267,391,333,795,799,323,086,163,586,378,533,
467,091,515,241,653,756,515,682,731,710,250,590,728,580,066,521,309,350,015,
831,733,901,038,296,860,402,321,952,753,814,171,846,060,948,748,794,133,880,
110,251,389,053,916,234,339,144,448,613,229,456,591,549,679,259,598,682,465,
919,128,965,265,266,913,813,802,828,045,802,648,475,627,000,979,307,388,168,
798,321,665,318,011,361,951,641,906,742,728,221,041,013,956,027,112,282,209,
265,599,613,203,418,085,932,558,113,611,146,565,832,628,710,386,071,528,599,
149,199,323,033,262,687,771,928,250,943,028,356,809,478,534,844,410,661,576,
289,962,953,391,584,578,590,808,560,762,449,103,684,796,652,669,423,636,282,
441,991,310,952,964,673,693,074,405,814,005,630,334,423,977,781,814,276,146,
103,997,526,768,209,173,957,512,651,326,469,883,202,939,035,099,705,236,625,
755,416,941,052,001,389,347,450,673,885,838,192,784,296,246,712,182,464,471,
337,017,435,472,839,385,998,753,876,329,696,889,399,022,964,986,044,426,554,
651,974,896,273,650,944,935,292,169,591,076,397,799,206,779,627,674,259,259,
034,809,154,831,690,707,675,787,454,850,503,729,384,311,132,838,033,546,721,
937,456,324,689,028,230,175,980,044,213,269,547,552,128,807,967,566,795,581,
955,453,948,590,223,192,254,291,506,052,179,458,871,224,076,210,619,874,308,
826,206,264,591,162,584,436,368,283,085,248,321,772,934,181,788,378,905,156,
570,257,525,297,512,370,194,659,665,604,858,777,877,989,012,025,693,147,447,
913,449,943,341,566,143,965,247,937,145,651,522,606,696,005,747,678,480,212,
194,051,228,533,402,412,368,215,145,237,725,927,446,238,708,114,358,266,244,
644,303,125,140,888,766,429,842,082,753,316,111,900,378,315,759,891,239,926,
368,027,636,179,668,756,035,528,306,607,914,041,205,503,806,493,724,066,512,
036,082,208,122,606,534,026,763,528,166,442,998,416,409,009,041,313,593,078,
531,032,712,417,533,334,850,570,790,921,474,359,852,540,783,537,577,757,680,
444,137,679,770,653,146,639,529,572,139,811,655,914,502,465,478,188,349,634,
370,415,052,913,062,029,013,567,607,750,835,730,116,656,498,668,522,813,012,
550,520,196,852,344,487,953,188,376,300,380,220,569,885,145,375,732,345,434,
885,710,326,204,878,564,048,913,804,122,107,983,141,610,622,876,089,551,431,
820,159,022,129,105,298,825,489,850,243,830,426,398,375,873,104,245,230,713,
944,349,826,602,447,066,648,528,190,056,885,741,997,802,481,319,532,163,295,
004,755,711,715,125,201,416,364,217,722,133,713,957,467,015,296,820,293,591,
335,437,104,808,235,646,892,767,302,500,463,328,514,591,082,140,143,586,262,
148,263,309,858,023,295,127,445,414,625,784,424,117,727,350,206,956,297,933,
386,223,699,872,968,502,375,045,808,136,445,369,982,641,448,669,772,537,123,
157,131,579,387,504,210,686,872,201,077,682,918,729,147,589,941,825,189,551,
789,995,352,410,598,939,832,651,375,421,474,222,801,584,250,153,925,642,893,
918,471,795,562,733,273,639,884,566,930,790,800,726,320,487,970,926,488,155,
862,212,627,616,792,524,254,993,642,217,752,828,441,762,734,241,548,288,395,
718,880,932,811,233,759,353,606,645,530,385,730,746,253,357,166,313,083,751,
352,852,707,192,082,458,193,454,392,102,213,326,493,909,874,063,640,643,054,
250,493,500,374,354,667,350,693,215,827,887,023,187,424,986,295,994,037,269,
792,682,721,337,169,231,017,940,213,791,396,881,045,623,789,687,586,108,849,
233,190,474,171,668,752,349,638,932,420,679,768,769,473,218,879,586,677,985,
730,163,731,607,555,173,352,743,310,385,002,191,480,231,804,032,411,204,298,
667,501,049,251,110,682,329,183,969,307,937,471,496,170,458,264,362,568,679,
202,684,285,922,558,101,651,692,373,344,092,773,758,343,229,413,800,684,649,
122,367,121,029,188,275,914,024,608,892,731,157,712,132,451,113,024,934,781,
079,004,825,748,772,177,852,303,774,804,372,253,166,437,582,501,105,976,724,
071,051,689,364,473,704,494,841,393,180,508,633,944,163,013,971,184,613,478,
187,470,428,184,368,902,108,561,660,564,765,466,699,587,864,650,871,506,270,
116,482,208,581,176,710,728,826,848,833,358,959,971,435,840,573,010,233,521,
843,960,060,054,069,773,879,211,311,123,018,486,935,592,521,128,135,096,732,
503,720,774,231,204,752,526,717,317,409,208,556,195,233,317,890,047,418,308,
117,296,465,513,531,499,019,947,894,596,676,807,335,312,555,021,215,768,885,
203,353,973,206,193,484,410,366,003,115,562,787,322,340,862,535,854,106,646,
034,662,737,151,908,458,831,949,619,509,620,065,983,374,921,885,005,000,795,
992,658,250,493,211,003,332,953,901,424,127,319,180,594,315,603,188,635,824,
015,195,706,062,775,817,662,505,911,095,245,478,367,541,583,840,454,631,233,
206,192,552,981,155,623,231,990,915,641,347,886,106,757,104,861,348,475,221,
610,868,051,573,495,686,503,063,374,181,460,811,486,957,120,301,731,113,141,
293,702,615,160,378,653,511,687,708,828,645,358,320,626,729,398,414,076,623,
424,342,062,830,552,816,290,330,639,030,284,171,089,532,914,277,883,278,345,
130,779,489,813,700,523,718,699,517,820,471,897,997,467,370,397,393,195,057,
908,182,175,567,531,050,197,115,301,781,525,857,830,452,380,511,773,950,943,
123,547,579,225,879,792,546,589,109,175,182,409,697,702,267,846,320,859,154,
682,053,613,878,404,480,270,216,070,826,836,690,002,143,305,918,579,910,563,
355,303,095,779,668,004,868,427,510,842,139,338,658,049,830,677,281,264,464,
754,679,333,840,522,772,541,077,878,347,651,506,553,371,105,109,731,073,488,
611,022,545,664,625,208,157,632,189,024,729,056,444,272,200,398,223,586,588,
539,876,779,993,256,963,856,930,615,124,487,121,928,774,197,820,235,562,612,
968,597,510,757,980,577,459,201,429,474,002,989,963,229,647,417,994,434,806,
317,265,044,287,166,532,304,852,889,918,679,597,460,326,914,729,418,522,438,
623,052,964,605,955,064,619,971,970,122,467,206,184,797,247,428,622,135,387,
327,360,327,201,416,552,371,390,826,202,016,235,118,288,653,127,682,292,648,
364,763,030,484,503,552,687,967,747,194,296,038,065,846,494,742,969,254,231,
059,045,223,600,420,276,237,570,407,883,128,932,270,504,200,134,864,987,049,
321,449,962,844,151,327,606,418,934,752,408,414,687,665,808,626,258,392,593,
233,958,206,476,044,729,447,876,957,584,621,662,567,558,015,334,895,723,028,
574,925,393,455,574,192,398,565,338,295,441,129,586,652,970,726,334,049,607,
122,062,023,582,472,252,211,895,070,320,646,212,599,396,402,678,765,870,095,
590,973,186,909,985,375,314,321,645,168,480,796,910,946,405,489,234,135,432,
976,743,079,325,954,565,523,394,288,971,785,860,110,301,120,551,454,385,057,
429,716,092,410,486,914,123,210,629,307,972,747,657,182,734,553,739,542,799,
365,430,568,467,111,940,637,744,646,592,473,054,045,451,622,548,156,850,615,
645,868,705,528,471,670,689,272,397,705,180,925,052,986,675,070,274,599,070,
425,389,172,079,141,972,836,490,989,992,524,353,713,002,152,473,431,765,855,
431,712,414,451,512,816,401,576,111,353,886,868,689,312,795,249,849,442,753,
242,253,041,116,287,186,304,899,378,705,404,353,204,186,591,744,588,234,793,
192,361,810,695,601,929,047,659,971,093,321,471,056,004,881,530,820,318,659,
073,155,762,953,158,335,403,248,365,923,884,617,807,434,313,699,407,452,400,
064,977,461,530,171,932,074,559,755,335,819,585,615,920,038,994,104,423,108,
821,080,302,154,005,414,936,645,598,711,161,012,473,757,498,645,908,733,774,
866,902,806,549,572,059,377,946,399,089,362,265,559,325,623,930,667,937,051,
743,684,293,766,184,196,568,619,085,253,680,803,113,345,583,734,773,997,574,
984,686,043,296,786,891,457,559,824,393,233,760,285,122,323,634,653,364,376,
332,487,569,696,353,767,713,143,094,909,972,670,962,568,590,685,954,127,360,
007,466,032,993,884,532,564,024,293,198,253,540,331,503,557,758,259,453,142,
533,036,632,088,991,433,990,178,826,877,341,903,255,476,601,295,054,167,280,
236,684,072,682,652,007,938,105,603,076,683,807,008,017,517,036,527,222,580,
113,735,714,384,705,193,917,585,275,366,940,266,437,410,860,577,815,542,985,
066,703,196,748,621,786,304,820,947,122,244,492,280,269,261,596,863,546,292,
761,683,802,953,247,858,483,671,377,928,626,574,513,841,698,906,976,239,887,
716,305,073,423,136,939,163,323,505,333,896,149,201,618,519,438,979,444,360,
935,481,786,079,763,602,530,878,132,236,562,688,881,217,805,270,080,295,001,
040,531,721,203,331,199,080,409,590,358,030,039,870,253,077,605,069,129,219,
355,709,309,876,882,354,038,036,670,844,093,628,858,295,270,230,457,100,539,
688,597,980,464,096,894,679,490,496,083,702,480,823,105,258,741,844,210,944,
159,738,299,470,023,538,455,079,115,565,360,565,874,236,133,388,461,898,591,
581,071,405,625,017,642,783,681,268,248,583,686,836,709,561,377,929,704,162,
396,424,897,675,109,711,655,269,893,530,779,353,647,316,549,941,173,467,067,
653,537,881,143,263,609,467,777,873,615,732,339,922,340,069,819,214,181,777,
727,953,590,798,782,121,826,784,277,475,802,951,929,339,919,958,020,039,823,
434,692,370,060,105,795,915,509,499,013,711,244,823,133,916,555,469,420,743,
624,927,382,926,851,387,440,259,081,176,449,175,089,866,099,085,371,085,553,
950,468,592,238,210,937,919,793,920,902,133,063,381,243,467,511,996,856,147,
096,546,297,280,776,294,792,109,720,581,577,599,056,053,551,475,847,742,318,
152,928,792,259,898,550,829,422,733,107,756,637,245,261,532,632,566,157,940,
903,347,525,928,707,718,130,100,762,385,051,576,981,645,907,054,282,458,600,
443,452,818,124,327,660,356,348,074,482,165,518,916,306,417,100,595,814,099,
583,315,260,991,087,513,329,283,096,236,086,019,154,503,866,710,277,813,749,
697,668,915,263,942,900,119,368,078,453,864,292,115,386,206,375,390,242,534,
217,384,824,902,448,801,298,158,804,678,907,087,518,783,100,969,098,214,630,
586,628,440,502,013,878,449,629,110,419,870,955,373,456,948,461,377,879,965,
688,991,563,337,001,851,288,405,030,082,528,743,550,289,337,963,905,254,448,
992,586,014,405,414,239,305,732,303,445,939,380,717,291,868,427,888,592,695,
058,653,799,112,188,074,648,191,421,643,061,989,056,886,639,722,390,351,414,
461,283,502,985,928,740,610,731,171,020,071,190,248,982,455,365,079,989,852,
464,244,383,032,878,941,109,839,265,913,571,069,091,976,007,275,888,716,782,
413,205,634,620,828,501,387,130,771,853,228,384,370,039,088,654,911,520,910,
795,535,382,062,055,012,533,257,226,777,194,248,180,796,839,703,331,527,094,
390,109,586,278,748,706,949,918,761,128,374,969,204,186,440,189,389,825,369,
766,954,223,312,143,047,854,361,868,672,392,676,355,203,786,202,226,862,438,
236,766,987,094,670,660,447,780,607,947,443,903,440,661,512,084,066,703,721,
333,570,918,382,134,146,896,652,766,877,649,580,218,049,348,823,578,990,159,
462,879,051,547,806,811,855,625,253,130,460,260,000,118,445,944,780,793,201,
096,857,563,415,580,309,903,432,647,288,351,840,899,767,987,362,263,203,421,
641,278,891,036,648,447,091,269,850,182,144,920,221,507,817,896,714,439,092,
309,029,458,006,892,424,037,883,828,090,635,942,550,173,488,624,310,150,461,
660,475,227,907,229,147,800,973,371,150,521,440,066,461,808,754,711,646,138,
204,588,007,856,794,126,483,308,814,015,994,289,712,288,144,745,714,342,627,
524,109,397,257,934,271,676,600,178,423,309,103,945,577,996,354,103,717,693,
758,337,422,034,803,794,859,499,039,765,693,527,927,046,670,030,620,091,186,
753,210,310,639,151,967,051,153,779,726,722,001,720,589,828,686,297,421,627,
829,812,560,218,525,313,515,997,311,552,113,034,789,782,444,796,311,367,054,
096,761,022,018,297,942,731,981,931,763,807,388,923,864,854,637,129,668,435,
033,514,463,109,932,284,926,170,084,902,872,937,630,989,501,627,951,784,895,
196,603,811,726,854,404,309,009,529,311,841,584,577,659,568,547,034,107,260,
077,447,795,485,724,045,085,773,875,260,404,025,268,801,201,819,596,854,964,
620,047,885,347,324,012,306,183,399,463,899,552,953,045,433,214,125,247,021,
905,323,415,918,037,552,142,978,656,499,999,153,734,480,663,325,341,115,452,
579,925,382,694,512,467,998,058,950,688,503,463,212,522,236,058,194,473,594,
546,732,587,922,295,381,746,789,686,090,251,286,142,753,591,672,698,335,403,
295,178,924,205,920,353,253,561,567,410,325,220,706,003,378,473,062,622,004,
464,130,521,348,687,914,579,823,927,011,944,576,381,543,189,861,072,030,316,
291,919,986,940,603,640,040,569,883,419,288,486,228,037,454,192,108,645,246,
417,543,996,359,880,499,406,527,208,976,886,731,482,563,219,526,061,305,648,
212,517,098,865,595,734,807,243,588,730,754,128,501,756,474,115,585,441,182,
014,478,581,704,037,073,488,433,819,548,824,690,939,704,773,470,883,394,128,
571,520,979,341,874,396,691,150,474,601,877,659,954,228,916,309,331,350,986,
619,383,527,920,616,036,576,869,443,979,189,120,319,445,313,200,644,889,330,
822,233,611,585,054,200,787,272,528,390,267,369,803,666,109,131,470,995,373,
106,959,368,182,161,172,595,588,402,081,880,629,677,143,461,606,748,153,288,
901,398,486,258,911,023,016,162,873,100,877,306,978,487,405,546,151,165,676,
009,392,715,136,428,649,467,078,363,136,351,251,450,153,676,949,707,477,089,
298,924,180,387,289,718,816,692,871,365,401,142,619,704,878,008,163,364,530,
410,039,673,013,195,988,171,634,807,682,020,315,278,468,311,718,190,194,820,
036,377,478,404,900,298,677,405,547,481,694,990,495,268,388,498,585,094,963,
124,402,905,281,422,943,915,088,146,881,220,562,962,549,558,967,819,622,713,
477,505,515,309,936,566,777,086,078,233,271,536,874,118,152,855,875,150,743,
258,112,307,735,608,846,091,208,852,814,724,969,243,596,118,407,877,899,106,
834,556,029,468,127,736,448,875,864,792,094,921,342,978,253,521,545,424,022,
362,180,542,472,460,974,546,934,999,334,521,261,827,613,933,073,549,603,987,
008,483,040,426,516,071,708,977,392,929,492,954,154,551,870,269,834,818,709,
991,963,703,764,644,512,520,793,461,831,064,761,970,834,184,077,654,772,823,
421,116,289,839,340,785,274,364,238,574,163,518,331,937,945,842,501,150,269,
123,909,643,927,348,053,206,981,452,274,389,109,289,067,582,965,928,225,306,
980,458,228,234,083,679,203,409,065,939,655,500,047,137,803,241,712,273,450,
035,643,737,226,317,200,610,061,645,056,511,718,864,279,011,650,790,424,395,
493,661,305,159,380,766,078,825,827,261,580,770,511,967,765,194,921,084,335,
311,445,041,129,171,010,493,371,062,355,114,587,922,731,043,131,101,009,063,
261,495,459,705,853,134,172,600,690,872,622,846,125,762,997,861,551,436,155,
247,417,804,745,113,641,932,073,574,924,857,551,657,778,840,179,071,759,075,
148,317,603,023,160,566,113,225,379,236,130,044,077,332,197,992,770,742,027,
110,068,783,367,165,266,188,788,977,972,422,346,299,361,205,655,536,172,278,
626,995,683,634,149,558,134,878,938,602,620,652,234,213,305,151,527,636,989,
714,100,661,421,693,199,182,455,100,431,172,530,789,434,533,054,564,793,506,
768,429,327,847,573,425,143,658,929,343,759,730,153,392,151,376,187,813,439,
062,858,771,123,650,319,544,550,799,743,522,334,350,922,068,767,358,098,369,
284,385,815,689,686,857,372,469,611,578,765,039,956,947,333,406,634,927,365,
718,023,887,414,675,247,505,553,577,176,011,477,644,487,404,222,753,047,954,
549,228,710,570,058,185,826,094,243,994,692,202,833,255,771,136,235,031,297,
740,137,112,706,567,890,061,457,636,607,887,713,379,916,085,064,365,054,237,
641,888,897,080,577,778,969,897,224,271,334,931,489,653,270,840,384,957,006,
297,035,979,974,407,122,802,138,280,567,201,815,290,716,482,057,325,420,760,
212,979,737,748,879,244,360,993,106,576,968,252,831,640,431,052,097,738,143,
889,187,138,512,326,322,916,389,501,116,600,234,952,816,902,058,169,669,827,
209,803,280,832,800,830,652,497,019,383,913,027,750,444,399,151,626,985,629,
828,052,688,740,073,500,336,477,930,283,796,596,300,474,887,678,057,820,980,
287,483,987,134,285,270,370,078,683,457,608,077,442,911,453,413,207,650,247,
904,158,782,236,131,599,942,016,603,993,908,290,056,538,504,605,392,842,637,
606,013,466,812,448,130,371,750,878,299,209,692,161,084,597,283,732,977,387,
457,726,777,970,766,915,371,447,208,959,638,342,242,523,897,825,005,976,088,
593,478,276,736,503,549,135,552,143,569,804,592,542,762,407,128,113,119,964,
646,661,605,870,322,778,853,712,585,101,371,076,792,384,545,045,241,154,230,
081,782,961,750,261,475,395,510,065,279,512,475,836,547,840,982,791,092,125,
178,683,569,029,302,056,459,310,538,564,149,676,494,248,736,460,934,310,451,
224,043,953,741,263,231,156,289,693,072,183,259,576,324,171,632,465,784,981,
535,995,033,469,182,814,662,546,674,365,037,139,780,795,090,127,684,612,802,
914,631,919,383,385,983,215,036,415,260,248,592,038,032,411,785,850,355,485,
508,198,068,776,001,745,995,157,087,496,778,254,293,152,986,846,224,370,378,
286,944,105,538,794,283,434,712,262,638,107,692,553,760,436,652,120,805,079,
543,423,606,761,315,846,706,459,905,247,621,764,723,117,769,335,068,367,639,
335,721,409,899,060,608,703,889,665,683,384,551,708,390,624,117,752,543,336,
213,109,573,139,509,150,754,890,369,639,022,058,168,404,140,146,386,733,373,
765,385,316,904,014,083,550,723,109,905,228,469,256,710,472,303,296,802,398,
540,043,611,413,964,399,116,265,798,742,104,974,040,914,472,686,070,246,886,
642,138,709,128,547,121,137,421,613,504,589,649,253,010,135,328,086,075,138,
319,362,965,629,461,475,572,311,006,265,165,536,085,819,983,690,491,982,748,
210,068,820,598,885,610,830,806,761,861,512,974,363,014,204,109,336,053,863,
217,445,617,974,461,234,275,176,768,214,065,568,840,953,183,506,259,388,948,
665,078,941,452,445,896,280,712,442,156,525,089,666,311,514,636,106,341,273,
865,340,125,118,283,734,318,892,866,415,575,224,789,876,653,087,088,089,355,
266,624,206,855,705,436,112,073,834,710,923,140,136,008,438,428,091,195,671,
267,520,327,226,034,352,860,916,612,746,648,788,852,610,126,888,776,900,630,
713,476,357,756,955,889,521,810,790,546,388,634,502,754,405,243,950,387,207,
318,635,214,879,587,971,946,340,455,212,988,986,645,387,804,519,706,857,648,
773,410,034,079,339,247,489,080,117,074,312,615,977,437,723,584,329,074,981,
673,204,673,170,416,279,455,498,610,715,600,395,857,959,205,418,596,458,158,
075,092,949,057,943,090,305,440,200,242,916,891,333,706,658,224,535,218,390,
004,493,580,159,801,234,602,237,854,377,720,087,288,598,241,858,204,491,039,
253,143,305,927,698,946,416,390,659,794,005,314,717,597,043,714,802,479,325,
628,837,226,113,257,875,326,092,042,580,486,872,735,193,384,889,579,147,968,
489,219,102,822,538,807,119,521,106,507,059,465,162,566,001,748,500,262,419,
820,355,917,727,381,301,528,697,122,711,899,247,793,795,067,922,545,303,198,
102,358,611,466,588,783,599,886,495,607,679,341,011,048,993,602,242,631,558,
879,388,692,412,809,155,845,368,222,104,975,316,512,645,684,812,222,862,637,
316,495,648,605,934,851,872,439,583,988,141,359,854,884,760,923,053,748,655,
114,738,309,127,364,022,951,731,408,973,335,591,377,602,890,945,192,416,873,
727,095,335,377,961,904,386,213,141,466,036,916,678,393,057,710,885,330,046,
686,421,737,603,314,216,681,243,546,271,354,695,556,938,955,263,298,327,134,
046,384,481,436,364,297,651,561,357,764,197,768,589,998,549,731,945,107,867,
833,664,395,693,725,229,866,961,715,527,509,792,601,678,304,550,996,853,048,
751,938,448,645,278,185,399,928,053,422,820,808,859,331,093,565,492,182,890,
148,452,001,547,849,429,062,901,250,517,161,165,069,276,618,746,663,376,330,
030,720,168,560,579,815,054,745,772,496,427,246,910,042,157,880,496,159,147,
094,820,602,320,748,385,194,628,743,126,378,784,002,557,107,977,935,622,451,
779,197,939,511,439,252,253,003,344,156,360,484,267,062,284,094,131,243,999,
262,864,059,753,200,340,665,298,292,460,291,088,427,844,475,794,031,649,610,
122,300,447,535,795,447,438,239,624,760,554,183,243,320,109,845,489,338,938,
581,086,411,248,758,037,009,556,262,787,609,226,636,802,872,827,338,241,312,
428,063,191,483,199,615,227,643,805,415,793,416,479,288,657,336,323,458,423,
788,254,371,473,737,175,303,113,904,753,825,029,280,010,095,550,416,625,776,
142,727,812,168,531,881,443,451,779,970,546,866,221,432,429,994,804,754,410,
166,810,864,963,398,435,692,463,953,684,381,907,289,996,084,793,749,244,048,
569,188,023,273,770,704,576,114,633,446,048,757,004,409,730,912,125,310,870,
727,463,374,562,812,111,768,246,359,515,785,358,636,604,812,866,233,572,829,
594,413,290,696,308,372,108,340,115,105,953,387,636,269,987,779,463,048,506,
259,115,369,607,052,472,861,207,231,285,853,665,807,643,866,901,402,988,686,
064,549,595,932,938,623,227,832,209,619,661,577,215,415,565,770,088,499,022,
198,707,835,263,978,114,147,060,000,678,108,592,619,495,461,984,382,358,415,
518,033,648,955,946,811,680,293,006,713,573,068,713,047,114,866,336,042,903,
865,457,986,333,424,826,255,870,376,584,216,455,187,486,023,649,402,020,557,
876,667,420,655,204,923,706,392,360,625,114,933,205,771,921,859,734,513,469,
348,092,898,426,992,957,811,515,928,690,482,313,352,849,667,478,963,006,062,
612,896,504,242,616,206,909,769,756,954,634,881,258,103,675,241,132,041,916,
665,348,991,763,081,256,727,457,130,713,740,667,680,453,260,189,650,615,176,
031,122,236,802,876,719,585,046,340,048,573,086,275,150,047,710,251,481,780,
522,030,000,555,895,681,669,251,448,316,731,276,850,141,861,649,993,605,516,
847,126,401,089,927,685,993,803,274,393,854,512,896,677,010,238,912,186,836,
374,818,408,343,976,013,470,020,763,722,265,254,505,487,830,498,543,365,271,
042,476,057,791,472,412,785,308,506,465,061,431,736,676,897,525,986,300,938,
030,558,290,072,856,706,257,595,774,956,138,759,488,241,394,189,045,826,823,
985,808,850,508,943,375,315,204,091,775,606,925,609,063,988,730,292,738,950,
015,975,441,365,403,142,158,967,721,676,649,254,196,170,258,583,970,769,781,
266,678,176,005,030,182,125,323,197,133,056,591,119,470,453,403,765,878,972,
879,364,158,055,967,495,858,299,190,125,521,391,649,757,313,782,752,570,972,
187,414,670,101,371,266,188,769,032,274,348,254,421,702,946,936,224,258,912,
927,350,435,560,155,969,889,425,432,621,170,258,967,790,231,734,855,288,975,
732,581,243,015,861,603,349,642,682,745,989,378,814,619,491,148,798,373,556,
265,402,758,376,399,446,427,433,464,484,460,292,251,089,389,470,299,773,194,
310,437,520,252,596,251,750,791,777,385,853,185,244,827,765,991,349,476,129,
799,294,773,158,912,897,590,465,242,576,215,950,661,375,016,641,150,025,840,
181,055,096,673,662,575,619,591,534,337,139,651,977,712,447,754,332,793,953,
275,798,668,137,966,128,319,938,737,776,277,613,613,303,689,166,489,845,772,
470,388,326,223,798,055,573,917,770,583,785,510,667,606,839,869,588,018,719,
693,867,457,030,905,485,471,001,634,391,109,586,957,036,362,023,673,499,709,
659,175,593,952,376,801,643,580,184,448,940,770,423,467,186,967,143,410,665,
724,765,199,195,062,224,080,241,834,480,113,539,196,548,720,888,039,405,496,
354,314,319,633,441,612,157,703,220,105,402,167,892,031,537,376,080,233,435,
978,590,102,778,900,747,744,384,190,841,873,944,021,579,233,550,930,055,162,
751,811,091,669,473,001,165,707,159,164,021,197,416,494,512,938,045,387,120,
808,192,409,087,303,965,730,260,183,815,349,358,795,525,703,011,127,909,729,
603,444,388,419,884,309,968,602,696,136,138,222,956,560,807,093,853,680,363,
106,747,058,238,347,377,592,872,916,869,126,361,950,205,281,538,259,662,129,
175,337,554,089,285,744,319,784,054,796,375,278,180,473,411,987,576,452,542,
447,979,530,945,941,047,035,247,069,308,073,340,901,542,678,064,265,630,898,
550,130,745,169,345,194,588,832,844,568,110,248,837,431,132,274,875,846,549,
884,925,796,437,781,838,404,043,887,379,514,086,177,655,836,039,277,666,897,
316,307,557,759,404,881,565,360,981,020,484,796,776,319,102,675,674,943,250,
750,018,212,726,217,618,572,924,555,594,134,917,662,445,566,273,598,730,661,
207,657,862,646,700,300,561,934,649,828,763,432,095,038,726,368,667,569,728,
129,599,119,659,125,661,943,787,101,388,474,365,786,834,711,984,309,474,356,
462,081,632,343,640,323,247,361,515,377,093,735,487,977,328,902,189,195,144,
949,072,804,971,415,104,764,845,439,952,342,870,197,418,494,401,580,461,134,
042,451,012,811,780,699,517,461,741,694,026,805,421,344,799,352,848,825,148,
309,362,644,539,206,386,349,643,931,633,516,933,669,218,038,042,510,865,975,
411,793,284,924,828,221,402,786,801,745,278,692,667,686,897,097,541,203,530,
370,547,517,169,109,398,348,273,018,850,944,616,767,125,954,182,321,517,082,
355,128,181,438,671,622,512,564,608,117,665,700,395,456,290,595,615,047,281,
795,685,128,154,978,448,419,655,172,375,178,629,088,338,492,912,048,451,201,
492,685,502,070,159,584,784,393,544,621,020,619,166,522,964,817,895,623,454,
647,779,334,079,214,342,209,029,894,351,392,669,769,957,192,928,329,484,202,
605,135,246,704,923,676,905,106,490,306,225,036,335,613,059,735,434,332,775,
830,310,198,249,194,674,137,094,574,657,587,922,637,927,841,019,635,457,061,
007,697,004,730,042,996,954,631,997,315,248,421,785,592,655,213,153,691,582,
447,147,893,638,869,368,837,434,493,002,363,653,321,185,674,552,214,677,922,
478,878,875,316,994,764,318,563,817,234,966,275,362,121,323,525,489,542,475,
932,483,048,134,544,813,056,786,692,706,627,171,168,834,474,859,672,530,318,
402,170,117,002,545,885,854,015,079,034,965,094,959,430,781,212,485,788,537,
366,976,900,078,127,788,321,188,245,737,874,593,239,849,936,912,084,613,913,
829,796,865,720,542,361,462,313,858,835,144,062,583,447,295,557,956,903,933,
011,726,326,368,307,927,443,454,789,174,961,607,195,257,582,459,955,841,774,
792,553,013,765,383,898,222,799,648,827,431,364,564,725,972,390,464,071,005,
614,528,487,320,913,715,745,986,996,720,768,780,756,579,715,828,081,812,294,
784,131,755,081,833,515,575,999,812,859,823,114,450,592,629,700,393,417,504,
923,610,902,205,401,858,596,890,326,183,963,269,947,859,721,743,890,940,910,
027,814,904,140,328,855,423,444,632,417,315,221,581,682,429,880,778,010,635,
312,224,030,343,127,554,961,549,658,832,520,189,949,116,347,513,070,978,945,
444,174,779,807,181,529,901,816,053,406,365,390,434,366,311,934,488,598,069,
494,093,869,866,058,824,777,840,399,761,004,809,427,405,441,096,724,359,817,
912,524,719,459,491,442,737,821,307,020,607,923,015,146,799,599,795,349,631,
978,042,033,341,764,261,778,059,861,713,377,210,026,676,902,179,390,824,562,
397,604,229,035,484,799,736,384,880,269,567,687,094,773,514,405,147,913,173,
567,894,480,039,620,984,555,369,062,462,820,463,242,171,197,897,447,226,619,
060,840,608,998,542,957,827,894,338,832,313,448,670,404,014,808,912,328,952,
755,614,661,064,435,585,063,827,861,420,658,835,182,446,123,815,351,504,893,
822,553,496,737,041,356,790,263,790,623,087,273,042,988,490,659,295,160,131,
160,829,746,065,831,794,891,967,919,850,752,841,374,027,431,910,111,339,224,
569,247,530,599,782,506,354,143,127,367,755,980,108,520,344,709,492,688,943,
346,397,486,282,119,233,802,622,877,812,016,210,767,835,542,910,342,125,229,
093,637,912,737,883,952,165,291,511,647,632,078,644,581,458,829,734,341,179,
518,212,541,569,903,853,668,649,990,510,273,593,099,662,488,511,483,555,305,
512,275,637,062,661,020,139,274,065,303,980,434,341,058,146,204,125,890,613,
957,317,934,436,338,236,101,345,642,422,746,360,538,264,484,832,016,204,235,
073,918,500,793,810,434,009,784,050,407,710,415,920,752,935,623,683,131,593,
024,829,990,544,967,913,139,593,177,607,203,656,518,690,959,446,258,520,468,
086,581,866,924,000,379,852,194,973,228,529,883,813,976,884,043,906,426,579,
361,987,719,465,143,106,544,658,329,354,501,237,201,601,214,495,112,620,828,
948,235,903,602,475,202,002,034,460,620,072,766,107,551,159,851,753,044,659,
320,404,637,346,046,047,726,931,045,292,351,842,354,182,800,841,679,181,762,
661,931,584,976,488,067,050,644,477,950,596,649,419,666,818,452,614,497,976,
278,612,428,104,476,706,891,280,774,282,851,283,141,990,859,602,528,649,594,
624,818,097,984,305,269,009,731,773,408,761,102,183,276,420,776,119,601,676,
904,610,699,052,405,585,458,547,097,808,946,904,097,092,904,685,574,640,408,
546,698,811,121,313,276,257,691,319,110,909,904,582,809,297,618,605,462,960,
493,532,083,194,306,653,312,016,369,705,719,299,255,451,927,984,736,665,476,
760,025,419,995,000,775,027,097,466,621,533,497,399,421,059,511,006,793,105,
386,192,894,281,104,193,874,600,932,441,774,090,341,396,646,888,948,190,448,
892,450,373,931,397,622,175,558,151,479,571,183,728,976,822,058,409,694,802,
591,839,843,038,752,760,765,777,802,096,961,104,909,828,710,349,582,439,086,
763,544,427,905,093,360,765,334,522,140,683,365,107,204,620,658,999,361,077,
122,046,509,996,031,990,621,220,707,450,653,067,073,220,000,702,663,479,056,
684,113,795,605,615,582,840,063,327,935,024,489,750,941,280,432,867,430,837,
052,419,914,401,059,953,173,701,313,705,238,072,025,135,472,147,115,089,505,
883,009,940,399,964,207,744,624,871,366,614,198,195,879,110,114,962,887,809,
714,185,001,530,793,915,276,054,198,129,904,734,550,201,443,008,418,086,975,
162,820,663,692,009,836,201,155,913,440,940,543,620,015,541,674,063,870,842,
411,422,386,918,816,121,917,775,541,735,393,366,771,387,811,910,822,655,922,
104,707,665,033,591,499,327,594,045,421,515,574,897,750,983,275,285,829,536,
065,060,745,862,744,178,656,273,866,703,607,932,060,061,033,677,389,173,612,
608,548,917,259,837,355,313,747,083,835,479,827,786,731,472,091,609,215,015,
884,410,123,344,463,104,329,627,811,565,075,056,247,086,047,292,389,761,460,
847,816,140,500,545,192,992,185,262,043,691,707,653,883,792,808,380,749,914,
282,585,461,422,748,144,834,939,021,863,056,921,002,139,082,107,657,609,480,
213,719,028,148,091,440,910,463,077,848,240,871,677,653,917,220,095,038,089,
809,177,759,954,567,804,860,770,912,607,514,983,365,191,159,959,633,174,756,
199,850,265,152,506,254,867,578,798,045,693,149,222,882,825,458,109,061,125,
459,366,986,915,786,037,378,701,349,789,544,313,773,070,368,981,262,360,137,
985,922,519,513,162,249,557,398,329,083,965,430,636,012,900,589,579,608,663,
949,799,117,030,656,258,720,371,726,910,204,975,460,969,046,089,526,985,749,
799,165,816,446,158,466,109,929,580,808,801,029,374,403,321,442,622,232,612,
693,029,389,537,958,447,178,732,003,315,829,650,300,585,263,557,328,372,381,
869,048,151,217,152,569,143,965,600,357,631,069,274,492,891,210,386,675,991,
483,741,207,667,317,863,495,633,670,816,029,935,020,733,866,732,826,459,193,
147,347,407,903,193,317,426,646,948,828,682,784,079,303,779,373,129,849,726,
945,136,020,192,455,352,400,836,202,433,041,932,270,150,317,049,994,116,813,
415,970,879,164,974,705,251,276,575,267,467,540,443,401,202,510,717,925,599,
801,753,155,223,891,472,105,465,999,198,658,695,197,695,691,487,490,517,034,
406,736,676,635,778,521,240,778,423,992,819,763,658,141,021,362,922,306,722,
422,099,914,151,797,465,180,420,739,090,076,906,664,651,118,746,670,242,349,
759,999,489,017,799,114,793,036,414,947,159,942,037,251,845,926,928,929,781,
232,856,290,928,262,383,793,939,930,127,149,551,345,594,728,210,771,037,500,
943,756,109,224,865,682,418,797,565,052,057,570,858,784,389,846,814,637,267,
672,223,433,622,213,921,290,288,297,519,522,617,259,050,974,345,034,928,911,
032,473,192,199,766,061,545,650,287,069,188,619,268,798,976,371,693,284,349,
464,731,142,501,218,501,291,249,756,033,020,004,588,674,114,886,047,985,532,
290,310,486,380,418,379,558,424,174,597,706,787,105,390,346,237,069,435,843,
080,987,715,738,467,015,654,186,346,052,886,100,004,535,230,841,878,111,497,
250,549,955,147,956,890,218,359,831,400,853,905,551,769,306,777,374,553,257,
843,450,315,985,056,140,073,579,138,582,114,639,049,742,348,151,073,853,675,
576,198,719,539,518,884,140,041,981,886,806,444,394,258,481,392,262,398,035,
523,279,452,734,506,176,918,874,284,735,934,744,124,364,791,195,763,651,469,
869,088,509,310,913,311,331,610,471,857,969,826,725,156,777,588,239,742,980,
882,833,569,600,212,860,434,346,675,958,896,159,215,809,065,645,291,784,893,
816,453,196,295,437,383,689,324,428,071,085,059,557,865,957,379,576,283,513,
498,229,848,533,461,700,492,382,879,545,875,683,183,227,037,630,132,983,186,
738,353,124,606,437,912,185,487,060,617,588,057,404,082,647,548,473,444,680,
270,784,606,931,456,238,092,832,644,769,910,823,856,276,985,588,570,077,334,
368,468,951,528,288,905,058,305,846,704,596,079,063,358,281,422,408,471,883,
621,753,579,623,008,425,576,856,162,690,740,757,047,446,739,439,181,786,646,
277,719,820,961,952,186,052,051,292,081,560,225,857,457,325,329,405,524,205,
862,062,510,430,221,597,910,565,140,286,110,088,647,514,837,779,576,279,669,
075,455,508,509,141,364,496,420,186,436,467,099,199,936,527,537,500,928,929,
522,610,143,560,884,177,093,146,482,557,971,902,173,843,610,061,044,297,305,
544,754,934,712,542,288,222,935,383,555,475,332,875,818,186,598,206,054,921,
604,612,386,734,674,084,851,350,039,496,316,087,156,363,386,362,740,111,297,
495,699,114,515,081,833,266,527,714,464,283,780,473,444,453,903,849,391,354,
018,458,020,559,360,006,873,724,172,048,592,616,650,747,775,851,359,721,395,
526,184,965,784,991,796,795,057,251,669,800,716,053,985,632,216,198,776,182,
654,393,706,374,785,380,699,338,113,954,297,852,799,221,391,711,481,843,134,
144,454,638,471,793,305,451,977,747,858,128,798,964,962,095,033,669,673,309,
554,268,094,597,786,504,351,588,802,269,554,910,169,635,364,158,578,075,283,
362,937,202,360,180,674,218,242,142,235,480,518,830,063,649,089,349,911,562,
962,299,005,675,302,497,681,724,350,463,014,416,513,888,490,146,090,470,632,
933,860,700,776,378,912,250,645,890,535,392,872,095,398,730,781,921,480,125,
279,179,847,533,719,802,231,973,245,373,856,888,336,548,818,725,429,586,822,
840,065,598,877,158,702,365,633,616,390,587,831,656,951,770,963,686,053,794,
733,740,838,608,828,038,130,143,927,864,888,086,215,204,523,755,133,018,193,
915,463,866,418,064,629,044,718,212,474,143,829,625,033,075,161,946,225,164,
559,144,455,648,972,108,118,209,459,227,100,762,179,037,422,715,998,900,394,
472,155,321,902,305,326,155,097,222,850,835,397,740,578,187,325,546,007,657,
036,331,013,142,629,627,603,197,200,630,532,894,638,013,353,567,141,252,413,
489,040,700,908,831,482,422,152,696,471,828,448,371,427,459,152,963,327,382,
047,114,315,643,610,024,534,677,483,871,124,827,371,639,981,550,496,905,557,
549,897,898,434,518,676,380,165,767,952,787,813,915,984,803,661,588,550,632,
447,142,995,909,991,233,774,423,199,121,422,954,676,737,621,446,965,390,208,
761,052,423,160,905,870,182,324,062,805,792,722,160,000,019,224,460,377,850,
028,905,747,917,428,846,463,045,007,963,244,069,662,486,827,612,501,959,369,
468,187,417,024,096,527,918,536,394,363,995,942,310,444,784,552,994,737,904,
734,825,315,602,125,858,458,271,819,467,092,910,704,831,583,190,435,634,730,
014,122,932,203,697,338,318,972,571,375,101,599,642,639,164,958,478,307,439,
537,605,773,792,609,699,484,314,727,862,971,815,505,487,626,346,271,214,405,
230,097,393,610,441,067,408,014,623,652,111,403,812,523,991,457,648,081,372,
885,923,926,422,581,622,950,587,184,595,777,967,084,809,933,995,813,719,347,
761,254,849,700,324,967,158,854,836,340,120,197,088,112,651,980,763,468,550,
092,047,060,846,705,957,409,390,651,672,918,566,004,289,490,987,715,261,050,
995,551,664,598,516,383,686,033,386,341,969,249,801,647,631,172,631,939,192,
122,661,047,256,500,516,931,456,319,541,741,413,180,459,551,974,450,347,455,
880,011,384,204,621,149,494,858,557,287,813,111,607,740,623,669,748,871,048,
079,234,934,269,024,252,670,875,254,153,691,539,244,811,494,905,941,377,009,
434,550,008,993,210,096,026,830,659,333,786,141,570,307,743,635,012,072,224,
463,797,036,632,736,000,511,702,371,700,595,503,630,253,467,939,780,320,039,
939,839,638,181,108,055,181,967,410,592,347,503,858,441,433,266,666,998,902,
538,343,187,030,589,083,207,972,114,362,878,097,242,917,011,322,657,568,003,
653,898,000,581,014,718,864,191,383,893,739,008,916,826,439,747,850,723,427,
357,128,625,187,261,292,069,792,798,681,976,995,699,587,468,047,101,670,568,
939,379,224,696,144,382,327,441,956,819,839,943,160,744,767,445,015,394,422,
896,490,025,189,485,650,282,873,816,347,089,840,804,024,821,103,257,945,366,
633,026,502,828,664,092,680,695,642,072,868,510,089,333,448,951,816,498,976,
756,052,656,863,670,521,209,735,520,348,111,925,168,590,560,381,312,987,835,
516,273,180,808,993,331,842,162,696,867,817,511,837,309,759,769,151,906,512,
917,773,457,402,901,737,299,323,846,755,471,075,447,203,105,509,285,875,524,
781,780,196,671,686,336,413,039,983,633,262,563,719,567,826,236,816,619,637,
265,070,357,799,071,680,704,271,094,936,061,074,110,923,678,271,204,282,379,
059,237,107,603,105,973,494,839,071,975,689,176,146,671,775,246,425,541,861,
367,767,633,713,815,059,953,434,241,002,616,724,408,311,873,256,547,406,924,
950,666,317,994,330,455,571,576,604,811,334,034,015,827,304,752,647,889,532,
814,679,848,744,443,708,822,175,229,100,076,375,693,115,117,999,064,149,649,
786,612,912,853,066,003,239,281,644,153,247,342,064,390,962,927,429,337,822,
713,778,538,972,125,401,055,846,283,253,175,845,772,332,179,468,830,440,851,
253,390,285,174,386,649,407,839,363,791,340,052,615,533,077,622,270,562,224,
585,211,332,242,243,339,184,581,488,430,177,941,127,582,297,245,884,732,783,
115,575,374,893,558,949,960,549,687,151,428,629,640,452,564,782,748,943,168,
720,973,656,779,989,520,349,181,646,731,232,103,842,454,457,202,334,442,671,
082,365,079,152,433,925,435,475,276,020,432,548,682,026,581,293,375,953,566,
278,959,684,356,101,458,293,905,263,215,667,125,754,377,014,979,084,796,161,
780,194,586,732,183,368,635,643,884,477,550,019,491,647,410,334,138,375,224,
925,231,107,779,899,053,606,022,928,230,730,276,680,499,938,487,476,933,588,
868,366,273,267,825,265,401,570,700,293,100,021,167,012,472,621,719,807,891,
071,713,197,122,118,056,085,883,255,849,483,982,556,654,135,371,074,622,284,
411,006,398,307,471,838,213,256,953,724,078,770,505,962,542,088,411,768,562,
208,122,397,456,159,826,094,191,895,796,624,406,483,565,949,819,224,699,870,
073,837,536,223,093,621,409,404,231,853,128,944,435,642,447,404,352,903,483,
524,559,618,246,257,446,808,119,377,790,957,623,947,100,060,110,353,523,953,
512,050,642,842,428,863,965,081,454,314,343,234,301,812,613,849,510,440,450,
382,422,640,105,480,415,526,420,352,713,544,803,164,873,922,910,257,471,642,
567,986,965,203,801,861,375,789,569,789,232,009,691,590,710,559,889,748,567,
739,248,581,710,907,113,813,324,921,914,953,511,334,208,314,653,047,234,071,
547,292,351,591,840,872,404,843,652,787,968,395,713,832,628,084,376,530,720,
466,807,402,710,410,481,675,746,844,623,226,795,335,110,012,954,518,533,848,
087,559,868,387,791,937,012,649,340,476,011,970,201,978,999,613,192,114,212,
238,259,450,376,164,388,048,343,832,998,585,256,093,625,207,625,171,503,526,
170,379,362,629,210,610,281,129,548,353,542,199,157,552,626,535,174,002,393,
169,622,157,140,236,861,139,130,713,258,532,715,746,113,794,665,221,914,072,
298,009,553,804,326,061,377,162,182,384,401,507,520,902,818,497,990,657,810,
724,435,317,742,958,436,350,585,050,083,841,776,357,867,130,886,948,241,427,
563,162,812,600,922,880,126,502,294,574,672,422,076,715,334,084,260,616,842,
759,364,521,093,229,947,238,270,541,286,383,180,909,200,640,657,386,015,113,
648,319,305,197,322,867,329,334,053,670,551,155,381,163,468,711,360,263,169,
830,357,995,020,850,712,549,719,113,214,852,122,296,507,412,564,544,055,158,
041,014,700,276,975,460,625,453,253,621,543,959,967,106,872,364,823,576,669,
870,945,044,406,998,168,854,419,762,135,570,291,105,082,184,356,953,067,543,
720,961,916,870,307,172,696,852,986,386,370,517,316,122,222,431,937,953,058,
187,890,687,943,324,992,357,448,765,750,983,570,371,774,766,644,198,863,167,
819,764,717,909,582,947,202,789,437,134,917,363,271,212,056,738,787,776,881,
251,808,682,342,566,016,639,415,398,485,934,234,835,834,285,336,359,193,069,
833,113,908,861,833,478,395,987,079,434,837,468,519,113,000,644,504,970,107,
493,096,472,754,903,290,206,645,524,044,642,488,771,917,151,273,088,523,524,
606,610,104,976,609,244,554,489,777,252,958,672,836,456,170,192,742,395,294,
328,956,476,434,119,705,922,245,073,076,000,778,454,593,192,760,217,765,694,
397,002,004,994,471,633,526,074,861,554,508,374,108,310,837,418,154,081,070,
942,542,848,782,470,824,955,993,239,859,837,119,776,593,376,637,082,561,607,
617,481,640,494,242,031,093,501,412,006,294,530,524,502,781,114,533,906,768,
697,872,640,465,333,186,019,622,118,829,093,741,606,550,547,994,702,343,245,
800,594,884,430,926,356,418,751,095,620,968,078,283,587,389,470,401,480,118,
607,347,215,382,421,030,462,832,106,769,337,410,930,535,651,701,815,435,239,
485,091,073,371,018,746,507,264,443,852,167,048,094,253,100,104,182,966,258,
472,716,748,883,757,697,919,968,573,710,233,419,677,344,706,025,265,548,974,
593,769,068,245,273,819,010,507,278,751,041,643,578,526,370,786,614,471,938,
486,767,677,273,410,733,286,554,769,135,379,833,930,620,798,536,291,306,112,
755,001,677,995,775,723,144,885,336,013,153,004,803,346,644,273,231,442,770,
365,995,006,302,440,664,282,341,312,775,219,890,770,006,294,213,917,250,047,
637,482,483,859,295,632,255,764,706,254,283,396,017,989,095,513,721,852,064,
331,831,055,507,056,676,493,240,399,408,924,636,094,395,179,495,807,825,186,
295,599,677,544,904,661,156,203,110,885,533,496,299,645,615,299,201,898,820,
468,525,722,957,538,936,899,914,800,305,606,909,779,814,118,633,092,890,405,
208,312,370,541,132,576,013,746,263,760,036,356,624,582,556,272,734,254,478,
591,813,261,618,650,073,366,842,711,794,816,719,175,805,606,567,966,943,769,
139,439,648,322,314,196,109,469,174,072,757,058,522,441,339,825,143,313,893,
371,766,827,298,301,434,881,263,911,232,512,386,659,215,451,809,630,807,323,
559,837,615,804,651,286,178,241,170,441,290,681,243,256,337,890,429,509,108,
797,272,051,596,081,485,375,110,291,335,138,052,962,723,701,729,755,125,634,
325,741,143,452,737,385,677,255,956,533,827,054,306,981,454,728,067,159,676,
167,620,017,361,416,524,585,263,018,285,671,796,612,017,508,667,693,573,259,
851,461,842,554,237,084,913,214,760,891,147,200,247,188,097,227,651,898,312,
691,746,488,080,986,401,240,601,652,515,329,073,605,871,020,382,422,472,808,
996,899,729,269,383,860,436,426,360,278,114,722,579,009,928,663,405,332,560,
032,796,165,712,630,651,373,915,827,852,717,972,179,007,454,285,133,460,214,
179,955,284,860,159,903,985,545,567,275,412,262,672,958,834,777,054,850,798,
976,064,157,113,816,965,650,212,987,412,983,987,331,512,034,089,848,874,896,
457,258,346,012,025,049,922,045,298,884,289,085,213,915,022,092,197,143,079,
617,160,394,137,162,373,192,628,081,211,405,085,483,554,338,696,116,250,507,
804,587,224,046,877,133,968,219,626,806,013,006,043,361,808,455,398,438,433,
556,829,368,440,514,736,015,770,973,946,999,929,370,064,494,751,113,600,396,
694,330,702,222,871,375,605,591,396,604,932,725,745,273,772,831,040,653,877,
316,125,436,714,458,618,624,669,372,335,381,331,455,567,243,785,124,934,349,
386,022,946,737,475,215,477,164,709,144,504,465,668,201,875,477,925,110,370,
552,383,996,462,219,351,607,665,091,289,601,810,270,004,185,373,272,696,737,
053,551,612,304,880,211,906,423,207,018,214,092,056,314,206,746,892,786,430,
427,935,506,972,736,712,880,473,759,522,478,055,300,776,023,851,327,427,929,
213,736,711,116,141,980,012,870,067,345,517,379,530,233,297,683,348,516,491,
734,930,099,083,286,926,297,033,552,920,210,300,709,086,825,497,747,594,654,
129,683,583,552,612,418,126,681,991,918,034,122,534,715,340,779,528,179,027,
599,304,003,023,638,886,441,816,292,814,003,750,843,587,448,709,010,224,211,
704,611,558,739,867,507,810,306,500,869,959,428,364,616,643,441,121,430,089,
379,275,343,180,688,265,337,800,987,227,074,263,668,396,423,109,310,899,945,
428,220,350,950,460,671,478,456,062,573,913,807,438,526,338,438,049,236,915,
247,759,762,625,211,448,804,067,247,987,576,245,467,192,810,990,927,014,868,
842,164,227,694,826,480,577,902,495,376,833,484,655,424,419,003,085,556,044,
027,734,834,195,713,927,165,282,081,668,366,659,001,073,008,033,944,449,400,
219,285,030,084,345,717,638,901,190,630,672,849,286,258,548,893,416,142,254,
621,262,232,035,736,791,764,645,457,060,597,621,549,415,909,158,327,369,385,
433,213,218,885,654,424,192,744,090,383,964,210,198,027,234,725,184,201,370,
406,036,849,395,650,460,321,968,997,197,307,288,375,785,600,035,362,588,375,
727,721,331,219,999,033,200,028,711,081,992,016,149,647,056,335,019,264,240,
741,527,670,862,942,183,768,894,622,699,711,745,205,609,289,954,146,350,384,
449,088,597,810,355,158,143,833,103,618,733,185,544,109,075,290,771,769,298,
608,090,217,570,131,801,977,917,168,549,445,008,094,103,802,074,021,929,376,
030,424,622,168,125,669,456,841,911,419,316,821,553,314,990,014,859,007,103,
188,840,319,186,834,930,960,517,021,945,909,816,317,204,618,218,342,856,315,
114,165,656,568,281,680,809,704,670,454,154,338,763,324,807,489,471,930,588,
847,059,658,397,149,819,062,685,624,473,940,098,713,842,833,615,499,759,235,
838,756,842,091,319,360,268,557,229,653,120,298,758,102,572,672,089,836,268,
697,371,674,636,893,375,655,447,796,270,078,024,840,674,607,669,661,312,088,
082,175,107,053,132,258,969,505,701,837,777,317,992,186,762,370,782,978,966,
647,062,960,793,399,876,440,620,307,848,877,456,990,238,301,580,868,896,458,
752,233,204,942,931,087,959,550,819,943,467,269,314,496,814,777,981,696,457,
350,562,083,359,761,543,635,733,935,930,405,259,789,959,014,224,487,910,651,
030,927,281,499,476,439,080,343,770,897,807,315,473,544,327,388,304,009,405,
743,900,353,999,612,910,488,654,407,512,500,559,952,658,867,627,366,713,024,
881,829,285,500,104,341,366,388,561,020,077,018,276,808,417,591,791,167,087,
545,516,000,774,387,896,452,987,122,987,481,797,531,829,884,530,104,058,372,
014,791,668,337,246,558,923,322,925,908,753,249,404,986,461,088,717,681,280,
510,029,601,800,185,771,472,880,050,003,489,725,701,705,515,162,644,357,726,
897,803,493,584,237,935,876,938,025,709,398,363,459,544,776,907,164,390,976,
966,623,830,499,239,734,822,611,817,149,853,102,571,679,739,423,154,660,140,
691,435,100,322,830,413,580,456,253,751,659,213,176,176,526,823,242,332,241,
886,732,009,082,356,211,730,604,365,478,092,907,282,391,528,519,012,125,917,
912,774,547,545,069,444,633,886,222,038,631,302,582,104,127,409,299,153,889,
425,736,384,098,460,707,547,108,560,193,011,225,530,421,742,202,563,696,145,
849,168,951,414,696,077,982,329,149,096,375,528,029,705,743,356,100,079,532,
155,170,084,092,459,112,272,582,331,564,251,932,025,336,453,366,306,763,795,
617,628,402,525,910,138,278,082,232,627,287,176,040,873,968,744,909,668,536,
913,169,473,159,671,602,899,255,463,159,004,226,298,490,523,369,702,540,236,
584,090,310,399,884,814,263,723,753,347,581,398,186,722,554,612,344,707,545,
356,233,178,368,574,111,375,563,349,889,457,860,368,030,761,751,972,169,834,
251,808,816,520,545,799,522,852,562,768,546,066,144,840,831,007,090,308,446,
944,843,403,165,950,820,765,607,610,281,834,662,189,501,786,845,611,218,658,
148,855,177,128,671,866,435,173,695,786,245,290,558,015,159,574,790,083,230,
601,755,493,039,751,626,979,102,925,410,483,430,193,924,728,229,813,975,781,
656,040,220,145,514,446,314,890,425,643,838,803,872,935,647,920,232,784,292,
747,006,847,898,480,889,158,324,598,328,002,830,431,905,285,901,310,141,676,
409,661,365,851,378,807,840,393,304,060,435,101,210,666,444,835,590,484,560,
555,551,214,885,433,433,502,980,066,696,115,815,038,538,644,704,528,688,035,
096,170,684,231,229,021,184,041,425,113,521,264,574,775,418,014,548,980,494,
749,628,451,033,042,319,925,310,600,835,105,248,042,980,080,442,467,052,384,
929,492,864,472,777,453,520,447,331,158,359,419,155,533,046,748,733,086,744,
492,065,191,074,656,654,366,954,685,101,446,609,170,851,476,410,959,399,392,
948,149,282,967,659,478,198,584,274,612,530,521,527,459,808,471,401,094,092,
666,095,612,903,463,333,615,869,405,122,350,728,600,734,600,969,570,903,407,
078,834,012,048,706,110,613,544,340,334,751,111,452,859,876,225,322,067,647,
351,612,517,298,258,297,733,125,600,065,334,824,095,042,161,058,202,257,701,
574,900,676,008,629,336,578,968,842,701,649,141,408,003,303,429,929,350,545,
118,663,232,388,278,139,149,770,323,600,642,808,077,670,167,032,350,939,028,
436,050,848,915,690,180,648,409,785,746,786,951,941,513,477,507,659,319,775,
820,489,166,054,209,567,571,125,462,062,931,313,397,039,194,309,957,121,121,
087,811,731,721,756,618,637,712,632,637,685,520,766,113,724,833,762,792,403,
811,335,167,956,966,369,500,627,121,713,028,690,595,148,062,142,552,502,987,
288,397,901,233,775,545,931,561,016,024,946,738,827,996,801,631,865,925,396,
120,249,438,889,524,444,138,492,072,539,422,264,733,821,478,090,954,101,894,
761,794,894,729,515,956,665,061,760,145,653,204,143,239,458,721,031,073,718,
560,121,680,206,268,234,142,385,146,010,355,742,683,942,845,278,041,648,155,
921,426,048,354,743,240,104,531,302,386,970,846,546,200,679,985,677,315,545,
511,043,400,813,116,019,549,418,007,759,832,509,688,346,175,713,668,345,628,
284,832,118,527,937,497,177,966,157,735,408,450,274,081,059,636,816,993,588,
414,486,697,990,515,111,426,832,676,467,548,918,321,711,629,351,679,497,893,
471,211,888,381,314,123,990,213,007,038,648,752,814,010,051,440,014,114,048,
683,471,095,216,442,957,107,079,912,017,773,053,877,895,299,184,529,098,116,
195,668,989,644,241,262,871,873,626,460,501,241,691,335,018,973,845,748,461,
253,850,003,640,183,097,808,862,840,469,851,789,120,179,899,195,446,681,597,
964,756,581,363,326,488,414,772,272,387,468,116,535,399,157,515,948,419,432,
193,780,970,175,693,380,275,716,966,260,526,273,660,996,245,265,846,511,082,
820,559,617,004,764,472,852,248,420,484,811,271,273,707,932,789,346,770,722,
611,164,799,098,581,462,168,325,137,078,156,127,800,410,326,139,617,387,961,
942,630,409,687,119,887,885,550,191,862,760,136,397,722,276,844,821,713,365,
610,567,238,650,716,475,535,769,469,836,722,718,526,324,261,702,042,153,681,
608,679,283,426,773,449,719,177,823,588,998,395,825,983,496,412,861,428,827,
866,927,311,760,342,755,174,733,324,197,361,851,225,270,861,298,271,502,222,
209,041,116,323,535,471,388,669,437,059,722,708,088,886,666,905,380,113,832,
547,328,936,454,738,836,121,234,225,095,044,585,772,997,284,217,723,601,865,
102,452,094,179,389,609,879,001,559,238,295,367,679,274,400,504,242,314,810,
449,228,548,383,230,542,975,438,585,929,987,262,195,870,711,905,766,009,162,
466,340,013,561,074,334,278,250,183,335,185,425,482,077,559,300,136,366,766,
200,695,166,315,696,173,139,478,708,938,838,524,404,595,748,688,978,971,599,
737,150,210,549,368,153,205,781,548,488,241,732,354,063,995,684,103,896,338,
396,059,681,527,209,328,869,965,196,982,525,992,856,662,761,162,307,755,973,
477,763,110,540,732,558,670,430,268,134,139,221,140,729,726,037,273,577,711,
578,298,720,180,665,962,885,190,684,137,675,216,513,613,410,086,703,420,923,
130,233,308,308,555,258,338,279,737,558,076,968,584,693,586,254,393,337,666,
709,131,378,048,884,421,073,919,729,104,769,901,118,959,339,956,230,588,492,
285,231,926,909,737,723,066,553,660,527,356,626,062,480,707,423,896,711,376,
546,306,274,974,018,603,104,483,265,235,326,205,379,418,988,593,503,348,196,
063,994,585,146,046,154,254,037,451,636,644,235,759,043,472,223,094,573,066,
369,644,045,707,714,467,908,845,818,846,477,472,816,715,829,124,979,609,442,
740,667,527,373,395,016,776,516,926,795,152,480,476,167,834,217,904,396,983,
982,804,997,461,603,058,189,452,369,675,893,947,698,918,709,685,858,458,073,
757,154,305,506,566,478,276,470,663,292,528,399,031,211,273,730,483,363,762,
473,601,227,298,652,106,842,428,656,264,186,628,694,795,224,129,406,706,141,
918,693,591,655,158,649,668,690,156,450,540,908,360,051,370,196,570,185,054,
426,796,161,180,710,566,338,508,412,031,843,985,342,031,213,005,531,064,810,
957,255,304,577,150,907,502,594,469,117,895,640,180,816,715,104,613,028,329,
465,117,462,928,224,217,698,866,818,725,777,451,570,862,723,180,574,539,832,
272,598,079,439,553,505,137,692,745,439,240,860,823,577,948,619,662,338,115,
130,750,681,155,055,860,099,744,626,469,786,596,887,325,122,108,910,917,241,
869,299,830,580,318,293,291,421,836,195,075,929,812,623,089,928,567,257,510,
446,078,742,078,560,841,272,860,720,593,689,906,616,765,442,411,848,349,349,
582,417,179,156,759,777,046,637,809,728,917,688,078,373,942,994,821,939,553,
740,590,629,159,861,280,187,267,001,719,124,311,532,198,941,266,467,068,032,
415,016,518,780,736,690,805,986,524,987,543,693,649,893,480,644,894,424,183,
065,091,670,365,773,085,157,327,959,015,192,415,833,672,039,421,010,194,168,
285,758,863,149,430,189,711,978,344,536,863,738,092,355,023,363,882,754,396,
927,557,886,096,949,921,907,637,565,873,848,288,604,053,468,754,920,628,369,
536,850,518,324,852,222,079,274,944,019,864,067,862,687,842,250,113,417,771,
204,192,075,096,219,939,372,739,313,516,505,104,983,296,603,281,634,685,998,
693,527,188,607,856,525,262,522,691,049,997,564,046,330,264,164,231,085,151,
278,854,071,940,865,646,977,117,362,345,629,407,399,112,358,366,481,273,767,
809,965,385,308,166,689,706,592,487,897,400,846,737,765,056,054,874,423,461,
775,588,554,994,200,037,371,938,294,264,733,055,000,323,223,649,831,158,966,
508,033,958,562,149,657,594,419,912,033,977,701,692,881,038,717,409,536,246,
120,409,738,666,603,600,633,029,016,217,958,222,805,558,126,067,498,092,347,
132,435,706,057,466,060,116,794,842,770,085,787,068,261,691,689,694,262,087,
389,059,298,044,250,099,706,976,550,372,762,120,577,908,335,101,960,694,945,
609,140,052,783,972,297,564,448,910,673,014,673,296,470,362,605,437,086,762,
925,443,470,151,819,574,211,451,352,901,042,447,639,496,664,212,807,819,939,
426,505,488,944,573,075,828,826,687,218,186,241,334,071,134,139,389,415,551,
282,096,325,787,314,367,174,858,670,110,230,071,156,702,997,165,447,321,672,
521,597,961,110,106,959,988,166,327,318,530,206,827,398,127,526,752,846,455,
604,489,682,386,072,551,487,553,389,233,909,020,910,822,332,773,639,288,273,
697,608,746,509,248,971,937,945,992,323,394,353,371,691,876,079,081,472,073,
983,990,284,999,007,024,292,105,275,526,132,672,597,676,639,301,034,516,165,
293,225,761,526,775,515,900,860,556,065,753,389,431,951,916,620,894,622,193,
133,688,966,040,336,577,448,258,653,447,147,651,914,058,221,417,639,026,928,
402,664,036,492,311,739,251,122,173,693,977,978,478,343,284,050,386,706,736,
642,801,570,359,534,825,573,810,260,931,398,262,760,621,848,853,461,905,257,
067,198,089,262,457,961,906,016,624,069,651,001,529,608,836,457,149,083,513,
187,911,096,936,191,087,259,326,998,036,824,389,276,799,324,257,034,788,330,
691,567,559,473,557,974,137,255,453,597,209,684,383,626,795,430,133,174,438,
966,975,811,938,103,343,180,286,820,832,980,857,850,253,226,579,411,662,376,
150,778,547,811,304,801,390,249,499,276,318,354,854,666,718,719,681,804,986,
010,927,957,595,930,393,682,435,656,044,430,812,367,435,647,280,435,738,204,
543,241,083,606,454,346,813,946,475,779,990,408,803,412,659,054,512,018,437,
442,527,180,844,997,182,398,529,868,266,753,910,652,857,019,906,945,010,332,
167,103,735,329,487,712,135,255,279,116,945,549,504,295,188,956,838,581,334,
721,676,189,997,807,889,322,728,244,060,065,702,670,389,305,800,611,743,220,
897,045,805,408,553,598,179,774,681,522,711,210,036,584,022,063,916,005,009,
996,983,297,159,451,408,740,896,901,372,195,867,383,084,817,146,967,050,517,
079,010,789,427,806,923,598,171,059,215,329,342,921,011,033,767,622,593,895,
245,376,534,673,691,543,582,078,964,404,038,653,577,088,836,337,777,638,628,
007,141,702,433,386,064,358,744,678,298,044,071,555,000,964,172,650,312,028,
901,809,895,966,873,354,771,029,159,878,908,341,915,995,302,666,166,087,271,
166,620,929,833,786,721,256,432,747,410,668,620,319,133,621,997,256,544,467,
664,505,443,415,682,298,824,295,140,760,096,276,243,275,031,436,165,637,067,
035,599,535,750,074,356,099,407,163,068,257,380,623,523,239,570,394,174,149,
802,306,853,765,731,779,495,078,589,562,063,590,017,150,520,584,161,413,995,
847,279,056,947,077,086,531,277,196,978,034,628,745,325,503,241,977,392,004,
536,852,245,136,733,796,960,879,550,856,888,096,184,896,658,068,010,294,310,
715,913,216,227,939,736,088,935,941,161,207,425,498,690,235,823,987,456,320,
009,981,341,776,208,355,003,284,113,406,306,787,865,936,410,993,762,009,779,
612,446,096,697,919,465,664,366,047,199,502,189,643,970,839,623,300,492,686,
084,497,123,153,826,551,831,279,299,114,517,337,910,305,470,601,691,183,479,
017,082,479,814,445,188,700,280,318,664,567,265,517,000,192,598,072,293,447,
264,717,555,573,904,652,743,070,576,454,572,774,420,661,986,807,530,605,129,
037,652,705,105,939,707,375,850,956,969,199,185,024,174,851,174,895,699,173,
074,903,723,756,354,059,587,742,116,469,255,534,690,375,057,493,981,411,891,
819,657,193,815,361,092,644,364,686,191,468,482,406,528,899,171,235,121,811,
732,594,585,688,537,563,349,597,709,783,834,913,232,914,071,607,033,277,214,
974,009,244,856,765,505,420,588,401,869,218,962,875,275,640,198,552,019,015,
512,145,533,291,396,284,631,079,452,619,014,683,222,697,892,139,746,653,665,
844,814,412,243,968,025,479,220,954,389,458,991,995,309,272,780,663,315,128,
360,433,325,303,802,572,677,340,996,217,623,675,335,358,458,843,004,852,621,
597,621,388,742,172,516,637,080,992,641,740,389,823,792,794,809,386,128,120,
755,822,168,612,074,146,197,513,188,201,453,703,837,766,572,822,885,955,276,
404,014,682,828,003,804,063,089,551,233,376,984,173,223,157,353,338,932,731,
345,366,318,480,432,808,554,835,475,496,969,550,614,146,181,001,505,136,564,
102,980,559,822,019,266,185,821,955,327,841,256,007,887,022,334,938,109,784,
667,510,271,627,279,030,802,894,426,171,495,756,304,874,741,061,408,841,078,
128,218,025,332,978,588,897,183,951,636,071,770,775,220,095,408,769,435,529,
386,549,918,481,934,778,019,624,463,799,935,694,647,982,608,073,609,699,988,
052,080,630,209,408,235,432,233,114,141,758,324,449,842,414,631,064,150,020,
459,463,980,547,871,968,678,123,995,707,649,367,097,848,963,953,847,668,842,
781,315,192,734,038,032,624,928,468,919,129,837,890,507,441,313,524,719,546,
538,434,245,620,061,771,581,636,541,818,929,936,068,237,649,396,685,149,681,
033,493,773,576,344,532,567,933,523,412,186,093,041,454,111,183,651,283,175,
958,520,627,894,461,010,771,320,844,180,675,149,134,256,897,302,126,720,300,
689,207,767,649,687,379,395,209,829,862,109,332,801,309,623,917,996,554,004,
111,837,349,023,424,152,600,913,647,020,708,395,512,046,873,227,868,170,192,
998,990,159,627,191,830,053,473,519,211,582,798,125,670,955,118,207,741,874,
320,859,339,922,065,640,921,423,274,207,314,771,485,384,263,652,246,524,056,
729,018,963,772,377,207,208,468,247,530,568,903,597,679,743,643,387,158,169,
205,236,384,122,240,538,428,261,877,604,133,260,038,800,856,870,328,841,122,
338,965,176,493,988,501,284,443,424,998,629,687,816,844,087,748,837,572,395,
422,087,428,578,241,258,383,019,691,747,229,916,072,178,766,547,750,223,823,
272,599,770,207,661,009,253,418,352,143,730,527,374,204,160,293,465,114,104,
834,565,367,082,954,169,599,685,188,079,043,547,579,376,089,795,488,338,066,
069,460,884,292,123,443,401,422,670,251,320,604,337,011,517,804,855,858,961,
632,956,509,139,725,287,003,723,405,531,721,548,052,850,836,451,798,496,189,
719,711,592,716,505,060,155,612,032,559,270,675,813,815,944,856,854,327,156,
126,494,630,694,716,574,944,562,727,957,235,508,477,992,598,212,591,968,283,
324,220,300,513,127,279,059,729,477,134,377,858,046,361,252,229,078,732,255,
170,724,747,329,767,332,244,680,780,792,167,316,648,823,873,798,912,152,138,
246,046,146,374,329,925,656,593,470,093,701,131,652,199,423,709,702,177,739,
993,674,167,576,200,029,694,618,419,408,458,815,246,700,330,562,634,414,119,
552,671,105,169,934,949,421,490,099,025,427,489,003,862,274,691,790,712,566,
109,782,309,315,220,683,199,489,852,752,033,847,097,371,429,625,665,604,632,
585,133,048,214,310,778,935,476,734,988,959,952,117,577,052,249,762,580,777,
649,040,546,352,282,977,971,340,869,252,188,468,872,448,202,128,085,392,237,
789,380,817,600,290,755,502,261,303,749,187,536,088,632,428,140,528,464,717,
828,072,630,873,466,163,928,966,111,787,398,851,090,112,212,868,656,725,046,
280,597,089,106,845,193,206,523,483,719,539,141,004,045,054,322,878,920,546,
997,084,590,490,554,721,099,852,092,448,022,100,442,167,197,175,916,106,639,
085,093,349,755,210,707,821,249,991,861,373,730,272,414,485,788,295,610,701,
003,698,662,832,831,228,414,547,728,006,877,011,301,677,502,466,489,195,206,
062,812,218,340,972,480,771,912,458,414,832,098,509,814,157,964,489,110,376,
501,958,258,603,146,146,628,824,455,192,490,911,954,275,420,891,572,470,915,
120,195,551,796,643,046,043,025,859,602,786,238,733,796,865,387,852,124,433,
614,828,821,909,904,876,191,574,372,331,185,906,716,455,971,766,809,260,549,
603,347,918,408,686,948,758,885,575,608,413,637,090,722,525,541,475,924,232,
466,045,498,136,086,398,832,288,717,539,184,288,670,285,153,987,395,946,257,
094,823,556,026,716,367,107,576,944,116,920,850,949,817,552,434,916,031,979,
922,206,789,663,066,103,877,259,610,946,309,637,652,727,012,348,850,434,871,
338,392,116,336,850,357,444,893,456,263,952,763,297,913,235,380,653,032,473,
116,483,030,106,988,902,062,517,561,284,320,037,352,506,322,299,041,094,652,
072,491,726,556,420,906,619,355,801,135,865,510,857,189,945,900,953,845,002,
503,944,065,326,681,721,359,349,061,064,237,355,081,712,359,071,566,009,447,
783,547,615,617,635,164,385,971,507,652,234,948,074,339,423,712,438,819,520,
743,462,970,911,944,139,130,153,375,880,759,385,347,871,093,838,935,788,711,
832,075,334,029,660,532,974,589,270,066,142,072,079,193,713,235,468,452,513,
766,808,497,596,628,827,351,908,922,904,043,945,452,983,414,924,843,580,847,
324,204,092,926,975,033,105,416,926,767,888,071,784,063,329,571,033,587,201,
211,543,773,862,641,649,873,399,832,015,708,395,859,226,242,604,023,726,218,
677,041,237,845,844,621,716,910,918,833,359,173,869,220,415,595,267,181,648,
254,816,366,137,677,220,163,558,320,104,644,845,764,155,585,584,616,923,519,
501,986,785,911,888,007,907,029,717,135,125,711,227,752,268,141,314,765,149,
673,278,837,176,792,323,272,314,905,462,967,466,060,308,334,351,804,625,523,
757,075,327,104,408,967,049,416,917,458,948,395,856,036,173,886,630,202,895,
771,515,539,596,856,771,015,661,819,860,428,612,501,152,919,950,382,627,519,
743,060,138,945,002,744,677,309,800,414,764,454,131,455,324,727,993,171,780,
693,999,329,897,016,677,304,176,894,102,802,330,314,057,833,777,955,270,804,
578,770,842,836,063,282,940,007,374,177,966,514,612,821,763,325,689,976,290,
009,738,508,133,301,957,147,096,278,724,400,083,794,176,414,560,320,801,034,
636,351,717,013,221,044,687,630,573,194,884,573,674,690,627,502,012,046,025,
098,609,852,068,899,814,008,574,603,851,775,453,925,428,607,501,781,931,638,
281,693,821,319,246,691,641,751,822,958,783,831,075,269,541,911,647,989,346,
823,031,272,126,488,075,742,023,100,608,576,191,494,665,858,804,787,857,126,
976,031,912,576,303,495,472,454,272,733,607,582,066,887,775,779,752,052,222,
542,918,365,217,912,044,867,869,636,684,497,395,091,693,961,185,902,951,034,
054,433,403,348,125,034,685,826,657,258,480,035,446,053,689,042,619,637,645,
416,420,284,757,234,201,361,399,432,860,357,613,237,781,052,727,833,503,939,
406,831,342,484,405,013,021,887,325,196,358,175,366,014,853,847,154,022,817,
345,262,917,521,878,405,135,710,651,484,693,749,502,067,248,511,717,026,534,
013,338,773,781,228,556,234,029,768,274,219,399,779,870,354,309,387,173,069,
791,808,927,523,989,047,721,078,296,795,979,735,930,458,135,654,739,059,161,
819,359,855,945,875,757,745,547,859,186,321,116,158,748,059,218,376,762,649,
416,355,858,531,046,416,405,512,018,776,175,585,003,525,348,932,024,814,054,
891,830,838,424,968,870,237,043,467,666,955,013,267,651,047,242,565,444,352,
771,868,585,046,102,939,132,736,898,547,501,950,672,492,662,779,102,912,816,
601,994,586,876,851,229,649,497,495,180,505,476,602,053,366,125,729,019,684,
461,665,659,635,190,289,545,240,134,245,145,468,583,206,025,366,506,406,795,
995,326,954,265,833,319,268,005,072,765,630,384,147,534,591,202,352,055,783,
184,722,801,585,487,446,798,536,368,086,535,934,265,042,609,707,833,652,826,
162,029,218,860,730,410,733,151,498,050,932,080,862,481,772,199,412,982,740,
263,673,311,369,979,737,302,200,437,061,138,925,811,201,585,692,927,616,138,
695,930,458,235,397,441,083,057,844,327,146,225,526,537,658,911,953,751,417,
572,854,665,450,104,915,424,321,151,924,920,133,101,884,220,850,076,023,742,
378,171,040,203,992,422,490,021,374,280,595,229,426,749,529,993,809,043,214,
430,548,536,465,996,914,593,877,802,091,290,783,129,938,134,142,424,792,271,
039,680,070,581,026,565,890,028,260,547,973,532,020,799,799,441,497,960,408,
696,112,829,044,258,242,609,648,468,824,890,948,747,716,006,090,136,407,525,
953,621,146,434,326,754,802,180,310,582,870,492,592,352,816,379,094,614,015,
855,001,473,343,682,397,120,915,716,147,761,039,797,102,800,489,579,808,152,
510,842,200,872,419,231,095,030,411,348,799,819,962,506,439,017,528,311,207,
561,616,727,414,810,691,387,040,235,672,722,837,378,908,608,181,140,842,241,
688,533,390,562,457,782,176,278,120,475,305,381,567,714,237,283,472,648,474,
843,217,792,907,406,676,950,651,907,849,837,753,800,959,808,629,849,480,534,
894,675,276,549,175,727,768,606,053,189,609,931,742,417,363,406,780,050,113,
829,641,365,258,704,579,429,420,470,611,556,753,300,909,204,559,567,971,018,
517,841,740,312,887,531,640,111,353,550,765,978,979,690,842,181,815,724,288,
248,167,047,989,973,334,447,005,308,187,985,375,040,098,525,196,554,908,698,
717,136,579,334,557,208,257,199,396,060,683,320,629,743,380,939,154,075,162,
893,927,886,476,245,420,533,953,580,450,586,609,867,479,380,509,634,174,426,
876,343,178,874,678,947,864,484,971,634,095,125,774,917,981,603,472,044,256,
794,959,334,455,538,297,897,484,048,720,343,828,455,406,655,225,297,347,367,
959,879,888,472,647,669,813,978,071,924,608,489,664,189,368,315,788,379,997,
383,232,456,265,287,428,103,147,366,177,001,085,485,115,436,355,610,834,036,
459,819,842,398,561,997,088,807,173,268,232,814,712,531,064,777,147,052,479,
739,777,271,713,918,547,464,156,733,234,416,048,506,409,187,085,970,559,819,
743,203,782,675,707,314,523,950,246,912,261,090,364,712,785,906,998,989,859,
857,097,394,193,646,591,846,993,511,681,075,697,896,144,222,265,118,957,650,
016,908,081,940,891,039,143,561,550,690,269,545,132,578,042,176,491,377,939,
574,912,725,726,640,213,855,521,709,099,481,336,399,403,531,481,564,260,255,
387,398,539,404,485,519,482,030,800,806,818,116,491,208,945,635,663,872,764,
503,352,710,805,526,170,881,437,020,260,597,236,107,844,146,639,686,891,389,
434,980,465,972,925,539,084,994,256,056,182,494,102,634,058,031,029,886,553,
077,721,257,506,352,731,734,941,562,389,346,724,297,819,441,085,029,003,880,
026,570,456,160,571,976,367,780,353,799,167,345,805,850,074,598,004,211,306,
496,528,243,686,527,497,273,411,075,605,687,168,688,538,106,481,767,037,703,
257,432,643,285,782,092,486,706,210,779,731,720,134,834,832,942,397,500,839,
807,862,103,106,982,363,114,665,786,851,166,292,783,259,310,598,509,756,604,
335,489,078,058,377,859,900,758,535,127,371,524,248,133,175,769,955,146,913,
328,470,108,020,411,393,809,912,454,432,174,614,773,832,474,000,889,740,130,
281,968,495,817,415,579,826,393,152,709,462,674,218,154,551,646,249,052,487,
402,852,585,434,322,611,944,320,923,893,875,012,066,012,907,034,908,357,578,
030,645,902,837,428,710,784,414,806,457,953,186,753,596,192,438,528,199,207,
722,528,325,205,280,536,081,837,368,259,746,501,086,864,856,855,401,341,821,
331,778,557,191,092,330,499,843,757,495,280,468,980,000,896,872,186,477,735,
164,327,507,400,990,631,475,373,476,204,561,803,514,778,786,286,145,695,936,
427,734,562,849,425,326,989,335,684,570,614,871,141,219,901,801,261,697,036,
229,515,437,545,746,758,792,559,821,529,952,144,862,343,486,444,023,139,891,
582,979,139,597,832,108,628,904,289,435,807,698,832,107,074,191,564,646,329,
398,400,171,056,349,343,015,806,683,830,737,037,099,940,366,967,748,118,528,
663,467,604,879,326,755,486,468,113,709,103,564,521,799,771,881,836,321,824,
741,661,992,851,248,886,798,207,557,594,148,983,055,948,062,831,153,996,628,
250,984,840,678,961,750,148,757,233,727,367,279,271,538,544,035,763,619,263,
334,714,472,161,631,130,065,890,777,911,775,292,404,458,618,609,446,439,249,
974,701,337,457,688,035,671,840,764,413,051,614,797,596,793,862,181,567,875,
822,412,157,295,546,290,045,774,495,075,043,859,637,816,892,015,568,028,952,
297,595,273,529,157,697,624,524,442,938,749,716,826,736,588,526,532,014,302,
562,817,435,673,764,270,211,814,800,604,827,886,242,947,755,011,761,169,222,
807,505,772,631,643,900,784,628,297,512,688,100,082,391,489,342,592,499,373,
992,836,431,334,905,245,482,024,126,779,909,640,917,413,672,106,926,048,882,
538,623,057,003,032,396,451,932,627,391,099,855,600,464,450,935,799,156,109,
296,461,571,820,657,652,402,465,739,851,038,611,325,892,518,254,025,237,065,
892,195,258,105,064,672,779,901,409,345,998,422,038,908,754,324,922,889,802,
482,858,100,419,530,959,603,827,007,430,599,733,759,519,069,066,669,692,398,
438,615,608,702,579,548,589,616,566,582,733,610,551,187,534,917,183,644,318,
070,882,432,731,271,956,272,933,660,872,766,380,043,194,810,487,476,334,408,
818,401,767,752,753,038,193,221,852,967,012,500,104,593,851,130,910,142,382,
340,399,018,859,976,968,912,715,546,944,842,619,554,377,232,794,243,059,474,
039,387,164,209,705,933,387,794,639,413,622,558,883,584,975,201,570,433,228,
062,102,754,899,613,665,968,071,543,859,640,096,410,417,444,352,811,323,836,
497,565,291,277,864,350,246,507,790,918,268,810,471,892,215,837,337,010,091,
242,988,286,743,212,775,194,901,684,627,564,920,623,588,028,006,964,920,528,
423,276,441,612,086,457,048,730,850,161,806,880,581,877,651,866,385,812,618,
880,131,351,966,603,625,000,691,272,239,586,296,939,224,339,516,013,095,131,
407,726,280,866,430,331,015,008,543,433,886,566,822,466,296,225,534,405,732,
840,135,268,692,889,707,029,557,826,051,795,647,055,942,393,776,353,290,736,
052,249,213,983,751,107,614,888,546,930,943,125,609,819,914,991,086,601,669,
467,699,942,888,865,819,859,715,916,676,196,472,370,729,248,240,809,398,995,
379,144,017,154,434,214,104,360,919,830,901,304,979,618,287,329,492,084,414,
960,534,733,165,286,990,930,969,772,054,580,975,834,648,055,946,333,746,384,
937,967,576,449,182,760,001,720,066,863,871,615,362,379,178,230,524,263,393,
255,558,191,317,114,912,872,744,941,078,027,180,110,936,497,395,493,206,262,
278,107,440,784,450,480,960,357,023,677,831,535,186,915,008,104,093,253,646,
794,886,646,452,505,479,632,713,357,860,793,355,900,223,778,640,212,294,679,
731,052,811,819,151,931,923,405,029,958,025,848,069,940,018,418,720,619,932,
559,060,450,312,559,035,333,320,732,676,618,601,757,044,979,503,290,237,839,
232,559,582,391,450,114,090,374,731,491,886,632,377,646,875,735,534,031,072,
905,802,579,587,354,565,037,263,336,637,352,053,097,450,183,202,442,695,922,
107,801,770,281,952,737,505,828,038,082,743,547,085,816,143,841,036,712,694,
338,746,657,687,111,000,793,828,830,789,098,150,245,294,361,991,768,872,011,
931,564,561,818,844,489,669,061,657,636,741,514,732,969,281,393,977,454,448,
171,624,148,435,290,841,452,584,198,294,524,418,229,059,133,132,473,154,381,
396,585,486,386,570,366,866,275,450,344,431,762,155,989,568,779,894,490,315,
229,094,881,197,783,853,766,571,062,686,460,010,805,802,718,125,292,766,720,
679,547,563,579,410,425,599,492,800,542,867,347,321,695,950,289,787,863,182,
975,020,971,146,350,426,545,670,277,871,631,449,660,437,900,107,065,499,213,
667,115,962,555,939,461,310,607,872,085,300,111,890,715,963,993,279,882,219,
594,121,932,800,613,776,725,199,971,389,328,252,880,055,489,522,356,414,238,
411,569,173,703,681,771,484,037,329,807,259,044,585,178,725,066,716,931,123,
824,936,422,899,659,662,871,250,404,575,537,213,614,654,573,352,684,593,055,
419,153,087,748,213,182,374,250,456,950,517,724,120,994,309,517,554,380,975,
437,721,330,742,097,820,755,563,203,747,591,288,232,425,161,922,872,152,239,
169,679,470,443,828,926,807,301,962,326,219,059,961,262,540,396,120,408,904,
917,721,930,685,477,910,081,263,176,244,945,615,512,172,270,542,341,798,017,
733,127,234,387,987,166,845,232,973,890,953,236,596,412,913,305,636,381,024,
843,946,976,899,440,781,983,570,771,286,798,663,405,935,239,413,353,264,314,
588,223,998,338,157,076,929,003,959,040,746,826,864,833,424,422,095,110,215,
543,721,607,494,555,241,107,126,571,845,425,454,033,123,398,543,718,185,601,
235,593,656,287,349,096,193,442,367,949,146,140,572,687,141,591,939,506,248,
701,872,388,259,195,707,503,515,544,750,984,496,709,246,216,327,709,684,215,
374,261,648,071,283,172,214,120,416,783,756,541,102,675,809,912,589,480,018,
325,277,421,979,042,620,674,259,457,087,678,245,511,978,101,827,326,849,530,
517,757,046,933,783,326,287,006,345,322,646,566,386,841,528,469,865,980,004,
079,972,500,902,997,071,838,872,581,474,940,607,723,701,042,779,795,646,337,
464,613,859,423,860,418,186,410,266,288,230,459,684,482,036,701,258,005,185,
377,095,920,500,376,103,915,878,844,984,479,064,211,757,553,081,985,597,144,
535,865,079,314,589,057,858,689,619,297,452,359,587,221,620,590,867,303,634,
894,915,685,423,703,635,436,659,930,624,250,549,645,496,050,928,859,300,079,
782,755,198,365,605,605,393,613,365,032,058,843,438,460,367,820,013,958,986,
105,737,526,852,898,112,803,688,203,242,341,676,031,837,398,129,863,420,514,
778,095,145,902,701,887,123,034,424,925,208,611,347,190,305,523,804,779,320,
496,374,172,662,694,218,619,008,671,723,336,784,147,209,789,006,774,452,685,
070,159,340,649,294,234,046,769,487,236,282,361,971,221,375,115,588,390,680,
083,811,226,206,305,614,140,948,899,343,846,894,865,640,676,663,997,394,556,
259,180,413,511,914,768,463,142,889,745,967,942,650,981,186,972,195,304,027,
464,787,718,742,697,857,958,969,005,561,198,864,056,270,893,214,218,688,480,
038,647,536,753,717,417,868,494,914,808,469,461,676,184,592,902,173,673,498,
463,654,816,336,581,612,184,639,273,968,385,751,687,090,027,418,226,262,869,
862,071,616,181,194,629,191,393,935,660,870,116,151,101,397,730,771,379,053,
572,327,748,727,491,825,155,733,988,982,410,768,080,939,566,254,819,570,309,
353,980,720,171,121,996,693,797,833,852,057,220,970,775,694,374,326,058,554,
373,529,543,828,311,026,671,224,218,931,205,430,939,128,176,274,561,420,329,
641,351,775,514,824,105,886,094,339,630,256,291,228,559,317,038,675,699,488,
663,487,528,671,730,971,021,983,864,110,236,146,485,033,037,079,732,270,355,
370,497,018,060,025,691,661,938,854,924,755,476,512,350,472,592,088,198,700,
852,925,314,286,970,571,307,231,681,451,927,350,694,835,070,332,529,132,099,
540,815,668,158,348,493,999,197,407,443,893,964,370,344,651,447,181,621,396,
733,908,417,849,460,077,107,803,814,298,837,528,844,350,090,229,368,501,815,
710,818,484,778,832,276,418,083,479,294,973,733,319,924,025,107,168,399,543,
960,557,582,652,822,055,629,723,680,917,964,585,172,279,526,503,225,236,795,
328,563,197,612,762,149,994,325,544,519,193,634,723,542,544,273,351,266,467,
525,999,180,166,231,008,507,198,812,019,846,179,690,696,312,259,960,376,499,
386,211,414,385,916,288,001,810,735,379,130,948,188,024,267,664,024,751,503,
445,015,608,060,134,904,297,989,662,366,539,157,419,592,786,808,047,056,919,
502,548,417,821,304,781,016,913,361,574,399,779,596,022,732,367,337,692,927,
512,996,982,982,779,483,975,464,951,764,081,304,915,880,742,646,167,041,374,
996,602,894,952,564,775,627,790,756,372,222,934,911,830,001,928,094,919,044,
815,873,973,389,923,308,026,133,506,251,434,161,396,593,233,568,681,647,185,
044,279,744,523,740,617,396,446,430,041,343,672,459,490,285,266,915,857,136,
561,587,191,328,447,744,882,512,746,519,944,765,968,299,381,609,687,124,672,
807,447,441,844,159,112,843,632,415,981,627,532,304,904,100,700,279,430,901,
587,795,423,436,510,515,918,785,255,721,528,176,637,608,148,734,320,079,718,
955,980,175,524,239,613,092,937,784,116,625,848,342,702,525,608,329,848,245,
498,158,107,798,279,686,759,071,999,012,096,295,314,278,094,212,137,211,684,
688,793,110,664,603,581,964,200,450,735,723,421,623,668,062,592,312,271,392,
727,069,656,761,715,143,354,806,484,916,965,738,925,672,624,703,554,826,359,
331,817,843,066,698,639,160,843,991,844,248,907,209,999,605,752,050,321,777,
826,734,918,387,150,878,957,377,684,911,549,584,516,987,734,432,779,200,004,
082,875,035,116,282,521,243,386,771,932,312,797,770,764,434,175,710,730,569,
938,232,194,224,848,303,147,040,247,021,859,485,050,826,499,480,237,307,948,
390,825,354,299,315,104,712,793,485,670,049,761,693,097,589,697,259,350,691,
136,252,257,336,049,486,752,502,623,605,605,410,662,625,517,573,488,037,186,
828,303,138,015,342,056,741,208,667,348,417,719,602,336,327,866,662,101,576,
911,315,913,933,666,617,712,638,184,263,588,728,439,502,979,219,460,799,647,
229,152,178,266,741,871,154,074,865,027,731,017,238,711,299,191,084,291,948,
984,582,425,600,817,302,745,867,331,910,777,877,325,875,092,390,420,383,790,
953,861,808,965,619,788,602,417,266,089,793,028,282,348,633,282,160,551,401,
082,567,308,261,252,024,581,060,887,318,527,552,334,850,790,141,064,256,164,
438,749,903,602,290,737,949,314,067,961,261,406,263,435,859,661,779,080,936,
831,395,469,662,621,685,541,509,927,664,948,649,424,650,752,538,832,919,110,
383,588,111,580,305,264,427,998,930,550,830,831,720,092,672,974,825,265,237,
394,086,605,816,884,367,670,969,839,039,744,906,738,426,859,929,556,286,661,
720,161,677,845,736,335,827,019,216,405,195,970,790,660,277,483,237,902,391,
354,103,704,096,977,665,396,405,076,829,032,293,595,588,430,962,249,523,670,
375,314,795,665,854,935,187,540,086,592,349,637,380,573,541,367,244,737,403,
313,471,765,204,648,579,753,046,637,570,494,314,905,849,699,615,946,885,078,
152,236,788,226,215,566,705,430,776,948,143,503,686,164,247,258,720,081,046,
473,380,743,191,529,933,056,443,612,910,909,562,071,559,919,639,316,856,713,
404,844,627,510,449,359,269,253,463,490,206,907,366,174,788,173,178,957,385,
441,550,475,741,803,273,002,229,408,244,095,325,329,195,563,499,478,721,193,
817,177,386,657,697,820,484,944,708,892,085,148,064,373,544,210,713,638,991,
653,814,854,020,536,845,345,483,599,718,286,933,779,702,928,207,568,531,457,
739,333,617,307,973,959,109,516,860,514,696,387,652,774,635,850,194,485,434,
930,056,655,739,856,126,206,122,131,518,826,005,063,875,537,584,560,302,610,
752,648,184,411,791,011,837,178,338,029,444,988,217,980,226,116,387,286,721,
078,486,362,329,322,590,767,955,061,769,579,021,929,766,313,634,248,329,293,
460,155,465,231,685,850,600,635,060,873,023,482,465,105,317,711,034,939,322,
729,782,494,896,937,511,100,731,341,140,833,362,582,510,393,411,352,765,383,
573,869,454,884,417,506,885,723,885,062,456,585,642,253,806,835,962,373,674,
522,590,011,605,399,146,051,429,961,056,943,340,447,346,773,068,053,865,114,
993,860,755,762,082,348,723,141,469,824,432,697,967,397,401,211,997,900,736,
467,394,455,082,676,370,149,315,144,760,663,172,055,525,853,217,346,377,463,
183,366,340,401,996,687,173,902,681,132,861,503,869,683,889,845,197,951,427,
137,886,786,077,013,946,716,694,102,843,599,340,978,158,052,711,343,522,579,
548,955,663,766,380,563,958,727,232,165,236,486,625,829,419,515,990,791,683,
578,902,486,254,418,175,576,829,691,817,613,174,068,899,864,434,026,237,497,
897,709,760,751,532,672,346,108,716,172,789,282,708,568,338,067,707,076,617,
716,802,569,792,010,936,093,884,259,745,028,126,429,996,521,040,149,850,086,
179,741,399,062,899,428,663,636,887,955,468,674,312,960,539,021,574,666,231,
303,605,829,628,109,636,784,143,524,238,453,140,516,957,776,322,216,398,379,
030,785,333,893,122,650,762,546,983,002,092,708,101,828,253,248,072,545,995,
957,546,013,162,235,935,295,889,583,816,713,046,351,230,219,969,811,024,122,
903,983,660,382,124,325,459,455,065,866,088,689,768,943,066,646,988,135,917,
102,004,140,723,083,348,834,493,709,301,606,918,631,200,599,126,147,339,529,
562,312,614,963,785,004,300,491,025,373,145,552,588,476,808,859,507,800,472,
951,608,741,769,426,328,912,249,134,909,977,929,755,177,017,504,539,749,659,
090,349,055,490,927,906,056,925,938,934,273,931,082,045,904,765,675,911,742,
462,441,609,099,519,465,490,379,697,002,692,164,265,919,150,781,629,265,794,
489,783,781,592,500,017,095,487,158,141,726,893,751,470,269,895,230,928,106,
683,263,162,652,989,991,807,073,573,431,293,296,802,181,519,677,770,917,952,
357,994,438,880,806,076,084,519,567,222,485,780,330,697,812,802,370,443,849,
620,537,265,572,530,435,593,245,679,523,300,743,081,003,237,634,039,533,112,
092,984,255,999,799,017,399,489,947,619,891,862,318,725,865,486,763,053,778,
553,939,065,420,672,909,340,779,107,178,615,268,276,186,469,834,140,671,207,
368,250,779,716,009,633,970,790,648,489,080,527,111,458,822,295,330,303,970,
158,702,629,528,349,772,342,348,846,947,145,919,271,300,130,426,064,273,798,
624,288,184,208,495,727,011,473,186,557,013,861,021,006,357,775,177,693,440,
545,008,144,267,243,595,828,900,471,838,277,845,110,584,988,598,807,025,476,
859,538,944,926,099,591,551,074,849,809,123,873,577,038,888,267,567,471,178,
787,937,590,405,506,601,627,087,995,869,967,678,040,309,690,678,916,511,766,
335,850,731,461,166,425,247,692,438,226,351,228,262,720,075,192,216,068,523,
584,956,012,021,370,101,248,053,129,187,686,454,191,307,338,948,768,340,329,
281,600,779,035,816,425,816,972,235,444,679,731,422,375,403,801,505,192,972,
299,536,005,189,726,417,259,109,446,824,987,132,255,413,037,553,079,834,432,
357,129,458,668,556,716,630,042,086,654,694,490,044,808,083,298,884,725,629,
219,605,582,910,236,083,887,338,564,395,387,351,522,349,333,725,364,386,555,
630,063,337,907,888,503,180,412,338,147,950,927,956,427,349,799,514,308,996,
812,130,471,269,573,419,141,281,136,326,983,646,469,394,240,190,536,002,517,
330,028,899,463,406,211,176,276,225,579,382,318,853,537,293,744,075,523,678,
286,030,165,444,334,331,264,528,929,794,358,212,285,683,274,323,572,190,177,
056,198,766,267,560,475,747,957,384,015,354,432,034,830,042,108,564,361,486,
645,505,583,921,011,239,679,789,218,420,946,846,913,650,958,471,103,640,238,
562,382,162,369,087,185,039,339,380,599,708,771,482,287,023,187,060,451,865,
011,692,078,434,072,252,817,612,928,321,560,561,587,952,774,493,394,391,414,
840,014,565,090,702,582,093,542,301,034,860,291,417,915,231,052,769,852,660,
262,521,100,823,496,175,375,018,725,348,185,109,581,044,926,893,871,935,641,
359,300,601,287,679,738,169,378,347,803,626,824,053,648,447,534,556,436,888,
661,407,018,102,515,785,906,115,670,491,656,469,299,276,746,301,893,067,850,
884,092,970,503,058,055,192,709,379,208,181,591,201,985,000,467,024,963,964,
060,362,714,025,013,193,492,170,484,739,876,909,121,128,971,559,629,286,765,
935,224,399,393,388,985,297,958,563,852,655,354,860,811,314,737,092,648,705,
033,001,510,496,702,619,520,183,089,039,112,328,937,436,348,631,077,117,629,
472,840,589,973,780,959,274,479,355,713,967,519,047,999,633,848,633,115,902,
233,987,243,158,078,511,085,310,880,808,686,791,449,271,104,808,429,380,238,
873,864,312,440,902,004,163,061,532,392,225,297,153,718,977,891,390,003,072,
461,298,399,100,755,065,713,467,548,391,145,798,303,120,865,087,880,924,166,
487,596,656,782,885,688,843,416,329,665,400,075,180,565,553,043,432,640,358,
250,130,957,630,742,022,669,370,935,720,672,010,893,716,145,101,263,463,991,
604,994,891,380,556,553,642,749,889,973,702,436,948,412,886,828,109,091,266,
200,880,466,147,696,429,610,610,886,639,080,451,936,911,660,484,345,612,543,
405,752,051,835,649,775,922,427,926,997,638,078,070,993,058,542,432,931,582,
528,280,460,774,088,864,934,967,222,697,239,660,531,500,095,643,717,995,320,
900,916,374,636,780,980,647,048,865,337,018,166,154,183,143,948,910,006,263,
183,236,030,787,365,336,225,966,533,717,432,397,521,680,366,461,572,705,477,
198,130,734,514,625,224,057,237,812,243,422,208,356,354,045,659,669,628,691,
548,317,106,978,584,829,208,587,409,722,333,777,024,905,450,333,459,605,128,
935,121,989,137,634,391,308,901,063,642,203,169,597,481,286,472,392,478,620,
399,469,200,546,216,040,192,264,609,956,214,844,333,454,757,509,960,070,501,
548,990,359,938,712,512,804,342,973,974,409,753,384,839,896,404,220,026,894,
584,485,637,443,012,437,409,404,576,976,900,632,256,623,558,545,975,347,939,
674,499,547,174,671,614,389,762,728,546,560,419,679,883,518,203,550,775,186,
738,411,133,062,876,326,062,313,035,894,326,839,726,030,344,697,996,184,405,
526,758,966,494,181,101,965,110,489,166,783,414,799,636,614,507,174,250,705,
956,464,474,315,236,100,867,355,386,746,472,538,637,972,878,178,032,753,883,
121,050,991,384,174,962,253,965,164,096,445,736,034,130,567,466,660,096,182,
390,313,338,347,063,323,344,905,528,188,587,024,349,716,511,329,132,374,375,
416,451,785,511,563,325,604,133,677,790,697,762,666,098,506,834,643,364,981,
539,110,948,865,780,800,437,001,341,232,752,949,902,998,841,883,961,350,538,
226,877,965,883,297,837,747,852,004,893,791,212,710,737,504,827,121,204,295,
129,966,822,974,650,641,664,737,959,788,876,890,917,609,211,632,008,096,633,
301,501,856,419,391,121,618,788,514,690,118,247,636,018,739,465,794,599,615,
042,962,094,571,176,933,959,422,138,952,445,196,305,822,805,918,576,814,724,
952,903,198,582,185,157,084,700,110,696,051,413,979,487,630,141,044,971,318,
030,513,157,813,242,193,795,922,216,119,366,233,980,984,904,963,871,346,887,
498,845,446,884,183,537,048,199,720,578,314,240,748,345,087,522,896,982,140,
679,786,121,887,359,330,220,325,968,675,344,705,477,604,747,159,718,216,697,
080,186,218,831,065,522,423,710,920,204,658,229,995,956,008,540,569,333,112,
672,834,037,460,676,721,916,110,596,026,071,150,574,227,203,420,613,624,041,
730,968,607,411,452,396,842,966,419,629,507,964,579,961,311,042,141,338,762,
834,080,027,615,797,140,541,543,374,316,460,073,210,157,442,323,040,983,609,
782,376,615,314,675,017,466,695,286,152,087,428,335,388,081,455,339,115,076,
804,274,974,317,186,766,780,721,525,024,566,250,222,552,623,139,656,502,800,
054,902,207,196,616,785,065,201,424,005,898,114,692,277,526,485,455,974,913,
844,689,065,084,331,259,925,598,492,121,413,891,668,445,584,469,466,738,429,
897,282,639,732,912,121,980,949,858,737,782,515,029,072,600,286,090,717,848,
389,121,932,584,372,754,404,566,404,835,616,224,881,527,130,949,144,245,694,
290,393,074,868,006,059,570,077,887,614,122,242,044,325,137,650,964,364,234,
149,929,296,134,491,494,030,141,619,633,025,281,309,550,684,899,143,887,110,
803,814,063,299,856,174,295,077,317,646,137,777,037,194,177,730,388,694,699,
392,330,887,884,365,220,573,875,983,563,232,994,963,822,248,212,626,081,243,
183,794,785,130,264,739,721,342,924,763,371,893,249,079,559,314,649,143,692,
350,836,730,423,177,568,593,549,143,719,262,267,621,609,008,221,962,354,416,
916,527,287,776,539,083,446,327,624,316,394,078,672,396,223,421,330,379,735,
910,686,536,990,273,405,572,568,771,199,730,280,411,491,672,647,491,126,547,
341,227,843,277,799,199,131,712,908,179,516,721,147,867,444,812,067,660,014,
250,598,191,831,275,659,465,966,997,058,421,115,009,749,498,989,103,353,484,
749,363,044,134,768,638,933,220,256,787,077,741,551,834,637,036,317,358,669,
803,602,551,454,813,479,381,339,132,626,028,304,316,476,041,170,336,155,535,
269,028,023,596,828,866,870,897,342,970,079,428,989,292,663,041,992,789,435,
509,307,189,315,232,419,711,594,933,777,062,196,103,276,179,894,453,410,207,
600,956,249,552,090,918,648,595,833,685,816,276,556,003,761,111,612,804,889,
960,942,378,177,122,009,376,136,848,150,783,848,268,936,139,455,931,943,846,
809,168,072,581,113,648,928,134,014,453,539,448,741,146,643,222,310,660,829,
377,289,153,433,011,317,325,967,003,974,299,098,601,654,295,063,675,883,314,
040,842,275,583,853,224,820,180,076,726,594,373,789,257,317,938,370,184,355,
177,743,765,680,858,768,656,787,263,266,063,260,576,132,677,289,969,381,860,
460,864,220,571,321,587,239,835,905,993,612,505,005,911,765,852,085,149,320,
159,565,608,502,034,393,651,895,281,294,897,076,810,832,682,600,598,078,198,
927,525,337,564,224,967,494,661,146,712,834,487,598,070,745,973,341,613,270,
135,053,379,213,534,148,768,082,156,208,871,765,028,928,506,164,487,301,054,
360,746,874,637,539,139,775,850,518,822,999,148,714,849,844,919,957,006,183,
525,148,318,202,968,928,637,203,431,481,048,340,908,033,092,022,810,018,487,
256,903,572,466,429,156,529,284,709,286,995,912,456,665,789,644,135,012,928,
085,015,843,562,083,747,179,441,443,122,648,554,555,804,671,568,677,885,893,
484,699,101,926,376,824,743,182,869,069,324,078,779,792,912,959,244,874,730,
612,769,187,028,865,976,420,126,808,191,422,206,891,720,361,398,868,514,464,
509,794,027,638,255,185,374,211,655,702,197,392,448,319,645,100,806,165,440,
432,341,728,283,544,335,769,264,831,259,486,283,546,420,393,359,939,756,531,
856,738,733,978,760,265,204,063,232,320,480,398,020,651,062,304,198,673,063,
460,823,009,045,742,833,363,223,151,696,213,405,030,421,649,344,928,949,371,
674,386,749,995,494,118,782,705,972,307,590,572,491,259,497,700,909,953,851,
808,666,309,622,112,832,323,885,770,514,404,109,173,271,068,734,920,126,646,
641,076,537,024,902,186,560,607,073,409,058,211,352,690,576,292,393,727,053,
648,151,756,504,453,529,706,009,014,922,955,351,713,512,757,841,393,482,374,
173,560,833,724,653,640,649,167,094,956,457,859,697,199,597,749,652,338,170,
885,954,137,519,565,696,782,567,890,309,215,270,208,763,023,851,997,350,923,
123,935,560,727,538,139,252,809,024,349,698,779,576,884,239,841,816,546,595,
128,295,208,561,707,148,343,974,948,087,391,500,689,205,346,078,410,368,717,
453,205,552,405,085,619,247,879,029,678,024,409,695,758,164,022,536,078,171,
784,615,869,849,812,259,267,005,589,948,025,445,776,716,560,994,424,199,394,
486,327,864,505,822,208,725,572,019,922,382,443,835,657,484,302,438,269,819,
457,142,053,255,862,251,081,765,234,445,043,304,968,475,332,499,858,886,608,
243,108,098,560,235,517,261,583,370,162,153,336,071,401,897,725,315,284,756,
441,704,798,770,446,399,108,162,838,477,661,823,566,985,109,357,894,374,715,
175,343,627,438,571,177,002,155,408,180,406,390,729,207,163,538,424,805,818,
606,137,994,276,262,034,969,585,991,555,562,850,907,728,775,020,162,077,966,
888,497,359,836,954,697,694,810,532,441,424,347,106,671,293,889,227,485,187,
792,874,086,359,529,774,574,972,068,519,440,719,902,926,272,959,307,975,498,
684,255,866,135,420,959,794,079,804,964,810,660,090,727,413,837,222,086,336,
959,110,152,980,050,525,661,830,192,029,090,363,033,824,293,518,029,466,147,
556,110,650,597,124,551,990,278,221,655,368,042,930,469,837,804,088,070,472,
712,522,147,367,482,889,354,685,942,642,648,143,717,311,025,992,435,194,575,
397,457,252,258,762,832,257,087,237,652,542,707,792,180,137,723,650,440,803,
579,344,920,355,380,306,053,266,408,902,096,276,195,054,500,731,945,663,061,
261,825,699,414,584,743,063,574,499,250,307,230,788,490,394,459,316,686,319,
399,665,882,242,339,735,771,209,706,676,570,681,513,163,344,664,807,516,671,
187,680,911,134,406,511,142,631,108,629,777,209,744,857,099,975,122,915,995,
918,032,768,567,081,781,309,615,406,109,148,864,527,838,893,194,955,694,659,
359,125,104,030,691,627,129,668,090,108,828,231,886,736,849,521,460,522,284,
266,993,894,629,714,146,678,679,198,490,114,982,594,484,030,381,160,040,046,
983,312,238,449,133,008,269,053,968,372,902,896,588,305,900,258,387,761,185,
785,722,892,466,986,501,693,543,326,242,239,056,109,228,802,796,033,028,229,
258,017,948,432,661,080,602,913,111,652,289,276,813,650,228,474,388,832,628,
012,282,578,074,672,984,371,811,302,282,801,048,346,657,418,595,330,484,088,
155,469,335,960,753,550,335,675,398,320,059,130,153,437,872,447,286,656,114,
895,454,920,065,733,545,439,311,126,839,751,748,464,572,973,373,276,776,134,
516,643,477,751,533,573,284,104,417,515,264,415,124,474,559,429,560,671,213,
943,872,778,522,230,453,879,929,940,931,317,473,420,928,190,886,081,689,365,
216,681,394,701,395,378,707,909,689,496,511,057,027,454,318,686,117,060,249,
406,810,691,122,927,749,861,957,119,823,590,871,276,972,223,271,016,222,329,
107,433,504,390,489,838,165,026,347,154,917,627,875,404,388,234,675,611,565,
526,715,353,478,162,303,511,863,658,859,567,715,636,694,396,817,871,604,170,
633,730,354,405,646,982,342,218,750,668,899,548,210,571,182,908,144,811,526,
943,956,365,352,358,197,282,636,666,368,904,599,983,051,056,136,468,107,768,
366,836,700,677,667,791,595,754,610,516,770,563,520,495,892,830,358,930,547,
278,311,492,386,128,870,538,349,988,343,932,572,316,036,495,911,650,214,943,
361,226,140,470,029,498,272,600,798,010,747,952,196,349,017,806,283,430,682,
717,998,424,747,008,397,767,752,004,315,190,075,400,662,073,815,229,788,205,
588,553,207,395,389,734,127,441,490,901,942,323,751,440,996,638,982,320,564,
289,434,822,506,077,791,346,183,294,572,402,583,790,017,288,686,910,681,365,
814,727,411,976,651,999,090,858,298,289,140,472,299,981,912,337,776,270,237,
573,247,903,773,590,231,675,786,491,104,585,186,207,566,876,881,323,639,694,
041,073,313,156,648,651,565,130,925,919,652,184,659,864,410,750,442,875,402,
102,500,312,755,806,530,015,091,690,125,164,499,944,421,784,078,511,893,439,
089,621,923,682,484,537,611,491,333,185,699,951,666,499,469,941,691,256,553,
625,956,456,420,052,525,442,042,464,337,518,515,263,172,475,047,326,642,724,
400,616,500,958,921,710,861,699,571,182,423,336,770,667,452,396,168,781,852,
432,476,008,473,892,747,629,339,156,452,064,042,790,210,520,773,619,673,205,
556,590,321,380,388,542,342,449,252,894,353,668,552,762,559,628,398,256,167,
481,747,228,282,438,019,836,615,212,519,439,329,469,617,457,797,000,220,396,
869,007,648,563,739,365,271,699,025,651,271,683,905,813,515,010,801,045,915,
961,564,583,476,146,101,383,788,897,336,292,013,609,101,851,490,417,261,530,
397,852,402,330,837,404,219,312,170,872,794,177,816,735,422,516,822,788,941,
477,475,941,868,796,846,617,965,250,405,822,568,723,533,932,523,989,657,084,
975,130,172,055,242,981,967,757,071,813,785,222,197,408,611,844,015,619,496,
026,690,431,526,618,237,098,593,769,998,302,353,293,419,480,572,142,152,345,
939,503,655,413,626,016,055,471,205,853,375,080,859,895,240,553,602,449,691,
858,217,783,134,256,533,383,987,305,598,891,080,073,145,155,310,178,353,469,
790,986,193,336,435,076,591,080,258,065,913,839,524,151,092,842,851,717,008,
939,313,958,011,934,027,457,086,289,544,484,980,190,699,961,319,872,505,533,
027,582,079,237,457,546,124,129,822,791,510,632,976,906,451,203,667,678,692,
563,722,982,637,648,062,439,816,336,128,947,976,486,500,865,131,242,615,472,
710,316,090,908,448,990,525,373,699,977,617,727,552,590,609,568,027,331,026,
289,509,900,328,735,216,560,648,491,771,214,462,330,336,317,746,396,539,831,
484,346,407,016,271,515,851,321,146,056,301,479,178,334,387,286,738,122,377,
192,217,598,862,271,219,009,438,773,466,597,858,158,532,053,511,049,197,931,
737,073,694,777,983,265,747,230,631,372,040,264,331,178,043,560,240,292,379,
963,306,413,480,872,875,260,549,126,483,810,304,187,012,461,238,501,005,928,
339,354,841,277,942,655,188,341,839,918,116,097,361,024,759,176,129,411,496,
551,477,300,977,119,009,843,806,401,724,684,853,049,865,703,032,758,989,608,
719,314,808,351,459,552,879,254,792,382,214,573,222,859,926,886,667,207,893,
653,289,101,049,143,275,097,774,220,952,040,922,151,659,728,252,121,362,324,
028,236,242,999,476,804,332,860,486,890,466,002,383,446,392,437,952,786,462,
296,984,120,778,149,950,973,660,367,136,165,329,395,268,374,186,902,809,646,
290,214,045,062,853,970,968,178,890,336,592,512,749,827,928,887,013,056,285,
840,542,106,762,127,434,336,792,389,563,269,597,205,392,344,076,802,695,114,
833,078,845,518,366,822,404,840,153,621,496,917,970,465,203,030,687,007,011,
310,290,335,226,902,190,959,513,416,176,444,506,222,089,995,648,580,332,686,
669,912,915,812,846,731,184,804,091,126,369,012,040,696,240,415,338,091,554,
405,776,611,282,809,400,013,001,405,766,281,401,871,046,629,611,966,900,092,
808,554,269,672,083,987,781,772,227,015,959,905,411,703,289,605,623,169,011,
339,009,863,619,906,554,245,131,539,815,272,324,070,012,886,159,844,993,999,
662,678,598,763,108,198,318,938,883,526,198,370,407,427,308,392,683,490,782,
830,298,742,845,508,502,258,264,684,749,588,421,067,114,111,552,301,729,093,
473,483,724,499,778,263,170,765,963,106,062,444,305,732,446,198,836,413,692,
208,155,398,236,800,695,888,937,607,542,847,299,069,532,047,932,199,406,622,
178,496,981,412,521,230,565,607,297,642,215,487,808,688,008,788,203,877,255,
990,402,471,439,097,644,406,254,065,892,414,493,165,823,619,426,042,808,941,
183,554,538,414,456,128,632,252,771,886,934,878,831,952,891,623,299,353,324,
965,219,419,448,231,472,088,735,490,317,170,898,837,119,190,088,621,693,146,
618,974,483,784,069,995,466,195,658,649,188,762,379,774,803,456,227,464,659,
176,635,545,519,845,518,338,327,176,236,853,337,825,326,110,368,534,310,819,
552,502,167,247,958,589,384,863,356,417,397,775,815,251,232,108,249,631,684,
213,401,002,145,897,698,546,068,901,008,077,645,934,495,177,597,557,071,245,
090,450,988,593,342,204,172,868,136,050,821,155,125,058,811,827,386,246,538,
405,868,103,274,231,617,719,361,564,956,179,723,468,832,609,873,052,187,184,
465,933,118,786,414,777,046,054,591,966,917,897,632,332,127,995,253,062,226,
958,725,428,208,719,976,238,184,474,214,909,289,458,005,226,413,405,961,647,
732,267,566,309,095,466,146,648,709,919,586,278,590,257,016,352,864,142,854,
822,481,173,954,481,880,330,939,961,436,233,185,185,916,156,519,875,812,224,
380,232,496,398,166,906,442,568,259,552,012,528,109,495,881,504,342,226,459,
869,479,111,364,207,577,437,326,744,727,660,049,432,398,694,329,275,726,944,
286,028,596,716,540,003,961,710,002,570,981,523,367,220,386,104,244,360,141,
547,763,917,364,694,254,535,773,791,656,178,661,712,477,905,572,802,352,264,
907,984,200,891,516,560,466,938,181,758,627,719,152,399,583,596,243,243,372,
134,546,425,108,341,142,970,888,287,519,243,185,071,547,135,420,390,040,684,
519,066,294,043,077,988,424,027,117,196,846,762,799,724,151,133,148,034,725,
432,492,459,044,859,298,030,706,617,948,818,301,807,349,521,094,499,103,473,
237,472,394,771,444,749,391,576,727,615,858,298,842,915,302,315,282,436,021,
451,201,642,852,832,887,636,929,883,520,338,962,632,862,738,476,342,596,650,
348,517,753,098,819,398,321,638,846,857,703,272,229,769,181,755,023,233,158,
395,419,954,086,218,113,062,529,421,283,511,129,985,829,490,137,183,803,065,
840,593,003,352,665,285,362,797,803,144,883,768,037,485,624,551,177,828,411,
539,888,786,698,717,755,490,484,619,918,368,576,130,774,478,538,918,622,745,
892,837,304,831,272,984,053,805,526,082,829,211,883,595,204,660,309,129,352,
308,085,487,199,278,055,802,269,565,246,817,486,876,777,936,268,100,689,197,
822,159,999,285,034,670,002,618,049,616,305,397,389,317,999,094,109,021,518,
356,504,736,899,305,449,260,651,878,782,369,091,470,722,933,505,679,103,550,
479,738,022,991,979,503,004,881,449,375,873,754,845,585,825,299,842,329,417,
949,166,608,380,473,298,216,267,053,051,176,155,660,263,175,691,736,778,670,
910,255,226,080,539,091,293,343,465,016,275,247,083,821,662,945,279,986,462,
590,204,217,522,416,286,676,366,264,147,641,655,117,505,635,246,832,068,361,
323,346,507,898,429,152,498,861,503,711,216,142,315,180,400,147,624,036,991,
038,370,468,581,057,396,711,763,843,323,123,444,618,445,763,971,437,069,701,
064,669,744,254,431,297,389,193,538,434,926,676,637,946,657,223,296,355,050,
268,594,377,646,510,804,280,999,848,380,647,022,806,007,507,264,806,741,378,
019,000,406,200,400,051,832,757,948,987,838,183,142,327,060,297,136,447,732,
755,574,431,742,812,679,380,427,215,778,662,266,560,790,269,430,066,799,469,
763,312,572,239,105,604,494,287,693,757,495,936,283,480,349,300,626,038,110,
485,284,019,322,634,383,222,386,505,890,254,721,698,463,186,868,864,291,535,
098,307,777,065,802,723,096,189,806,338,599,460,282,764,015,659,076,384,622,
454,074,576,857,053,349,570,906,172,394,645,130,614,289,777,117,594,212,313,
669,832,455,808,824,288,255,199,743,482,540,996,854,350,151,983,767,587,240,
803,981,075,534,577,572,520,767,602,688,938,998,588,336,434,384,147,498,658,
402,723,308,809,731,395,698,318,363,411,789,222,236,667,782,631,255,870,506,
925,816,087,134,298,982,742,869,880,771,483,620,111,826,322,108,090,269,889,
417,272,073,107,450,513,307,991,052,636,427,909,923,660,660,629,835,864,808,
485,864,299,911,044,540,909,996,550,260,387,553,280,847,397,876,550,877,409,
984,191,502,002,353,204,268,651,151,515,162,063,888,853,941,798,447,555,984,
332,641,089,474,096,792,834,986,953,542,270,179,007,184,657,017,138,021,654,
476,214,528,761,872,957,393,084,768,240,040,297,249,008,813,889,232,605,271,
325,094,838,605,427,383,674,833,366,903,813,256,689,377,096,603,840,072,717,
533,731,205,917,855,905,771,752,187,024,896,475,104,664,587,462,554,945,612,
818,717,977,622,531,933,043,450,101,562,778,152,453,279,780,097,904,684,868,
212,078,564,561,810,277,410,132,841,942,522,876,618,210,965,383,223,456,730,
812,977,095,515,233,183,486,572,877,703,203,913,293,623,891,750,595,275,777,
742,823,950,462,086,120,840,976,681,667,960,986,466,206,248,750,135,330,426,
403,720,503,720,015,860,529,597,872,227,472,921,807,961,437,471,832,400,542,
094,662,660,337,176,113,714,569,554,961,788,078,722,136,536,098,752,810,665,
673,096,250,321,783,339,956,054,022,954,561,568,629,768,310,585,572,332,600,
770,259,997,852,675,443,531,614,546,081,437,875,884,918,536,384,407,472,608,
466,165,153,231,878,767,301,792,237,885,980,866,811,336,898,327,197,745,747,
142,969,341,700,442,455,237,401,435,835,523,333,522,146,819,948,597,413,904,
678,396,428,884,854,064,921,207,162,576,251,511,930,976,867,976,163,736,851,
739,964,967,727,672,463,459,012,262,805,760,190,047,961,811,715,223,279,236,
483,351,098,857,978,238,833,561,530,837,626,226,486,403,295,073,239,328,826,
481,811,566,724,652,482,232,987,946,645,821,101,637,062,610,709,559,104,812,
833,758,539,875,696,494,321,772,318,563,489,827,283,837,263,356,870,760,446,
042,099,593,971,027,652,575,848,678,509,186,721,335,577,129,973,184,358,347,
431,273,142,697,971,349,795,212,009,346,686,492,024,836,653,198,776,593,095,
016,072,263,807,705,699,726,366,205,315,929,782,723,760,693,206,684,521,619,
626,510,961,502,597,694,305,962,580,023,543,718,079,840,229,398,510,068,226,
864,358,109,638,856,681,836,208,619,042,295,647,044,766,815,741,029,175,068,
405,083,609,716,562,261,348,193,663,512,847,678,744,172,579,881,472,949,137,
034,109,823,421,830,830,025,026,393,180,931,986,758,094,509,879,762,914,329,
059,422,357,833,592,191,357,213,257,601,872,333,678,164,455,954,507,286,482,
811,462,712,084,084,516,561,709,705,341,159,218,343,092,342,544,930,084,367,
996,074,529,571,691,075,584,782,448,942,019,893,927,361,977,190,996,016,238,
121,583,770,783,349,394,292,594,295,731,159,988,403,036,187,566,850,056,583,
955,190,926,573,094,137,425,796,907,242,937,059,454,095,360,093,790,210,806,
246,228,957,489,560,131,385,925,862,881,774,275,058,008,574,785,497,789,472,
820,429,616,961,120,283,985,375,650,441,899,257,303,933,969,601,206,615,245,
541,447,381,618,629,050,762,189,725,332,577,967,771,537,527,742,441,682,625,
562,021,008,812,216,853,866,216,206,058,626,899,450,695,553,977,690,729,498,
845,156,565,764,022,093,777,268,792,191,328,125,874,835,676,355,179,314,338,
922,791,978,086,094,286,357,767,502,071,119,528,093,191,348,392,680,415,677,
208,269,878,965,564,899,805,988,940,997,984,113,006,606,381,612,580,948,682,
422,339,561,639,259,538,110,767,222,307,159,232,052,968,096,977,525,048,344,
696,819,191,069,100,356,423,605,933,664,387,190,162,345,620,474,238,108,255,
295,816,810,481,833,686,299,496,116,769,615,723,990,756,094,095,515,142,373,
403,633,559,785,063,344,599,169,639,427,825,862,023,027,274,227,787,240,390,
305,636,594,808,955,143,531,699,542,993,540,831,112,116,997,440,028,282,386,
510,267,413,332,960,854,294,257,868,861,152,449,677,495,236,123,616,958,456,
924,847,058,598,898,429,558,154,427,471,597,315,282,603,819,780,266,121,512,
948,199,873,304,575,884,021,468,568,686,280,047,674,149,021,093,365,211,190,
747,160,852,627,236,096,693,436,262,599,388,637,441,559,765,561,796,101,554,
179,565,620,864,339,549,755,534,094,042,765,796,720,373,535,690,634,713,057,
103,089,808,062,932,890,881,785,397,408,818,562,464,310,990,955,844,191,200,
205,055,939,687,094,140,664,212,836,005,841,526,763,275,098,043,650,458,760,
373,103,781,513,309,555,140,346,151,862,424,807,117,484,088,484,016,612,302,
527,992,315,328,635,615,457,411,744,636,668,198,589,712,188,787,362,838,566,
379,966,421,235,011,564,753,842,666,017,647,774,337,091,579,108,021,087,803,
785,825,983,823,279,687,119,112,098,247,486,522,542,378,957,409,023,470,658,
603,961,746,731,877,891,292,653,110,213,990,433,645,344,377,600,309,536,204,
947,544,465,033,003,094,768,018,331,650,315,554,547,002,399,542,957,999,404,
908,004,937,866,584,168,580,460,763,563,368,053,475,302,127,536,257,894,746,
425,373,095,813,537,334,592,007,935,098,911,643,544,873,081,082,919,383,641,
423,727,544,025,690,706,371,710,910,997,692,932,295,527,323,396,552,628,758,
119,150,951,929,239,355,655,447,954,606,264,973,274,319,279,003,995,479,026,
596,712,557,708,832,434,031,159,248,351,293,291,084,826,109,603,420,753,041,
451,514,886,967,419,853,432,272,115,935,538,088,335,202,698,943,544,582,184,
231,732,745,515,043,500,851,975,828,401,886,294,646,892,109,313,636,444,117,
803,254,562,753,178,611,924,219,559,912,893,177,135,908,790,596,307,556,913,
874,491,420,091,551,852,372,158,925,535,761,032,370,084,237,978,022,251,853,
715,591,226,579,974,253,266,771,965,332,122,714,903,817,749,409,336,824,621,
957,452,802,556,808,011,107,343,721,702,685,394,896,543,034,249,455,878,504,
334,637,893,238,528,264,800,211,477,050,786,697,205,992,274,116,965,739,076,
781,282,200,293,159,662,565,803,679,699,294,187,634,096,453,699,712,020,324,
795,731,615,623,413,058,039,439,506,942,646,030,649,768,250,327,925,093,675,
852,325,737,676,671,425,965,398,971,799,558,341,091,410,949,173,825,686,196,
527,453,004,965,756,720,471,015,533,316,551,016,629,734,441,165,785,774,698,
924,158,774,378,543,204,051,688,510,593,462,121,597,932,145,868,799,378,273,
642,096,557,801,894,070,366,563,625,425,418,098,611,155,299,998,479,522,741,
205,569,261,323,163,405,969,875,410,181,209,948,455,615,427,889,281,573,196,
087,588,027,352,797,976,966,829,933,776,594,255,160,173,241,852,819,430,703,
654,060,418,950,017,246,113,395,413,154,895,269,575,114,960,650,741,079,496,
122,595,384,316,385,299,868,436,184,498,764,837,145,025,266,525,148,100,411,
067,810,976,453,997,345,520,262,178,726,423,812,582,844,685,085,806,197,282,
601,365,143,557,430,474,292,427,029,697,330,342,381,460,294,483,589,038,357,
296,030,092,509,298,584,782,220,713,484,737,791,231,034,062,549,289,858,575,
901,458,781,607,238,094,091,584,353,757,320,708,559,011,026,456,229,541,220,
501,796,800,542,939,228,338,609,282,282,011,047,641,576,443,913,504,455,055,
886,238,807,874,180,505,627,857,914,292,685,757,654,160,633,616,125,810,551,
000,579,687,946,685,635,641,084,049,988,180,761,237,158,612,549,559,739,767,
709,277,859,467,993,259,774,232,873,125,283,376,767,117,705,228,830,103,027,
585,559,976,681,449,058,263,010,732,090,519,985,206,151,369,462,736,923,327,
836,794,755,245,852,677,374,107,904,182,077,647,559,701,692,755,519,546,646,
393,848,196,221,378,202,135,453,176,940,515,297,063,228,034,363,139,059,633,
419,945,332,132,567,849,287,195,083,053,222,250,292,366,263,657,226,837,646,
331,591,949,684,240,403,309,766,968,540,068,642,625,317,741,561,407,515,935,
541,490,100,467,680,391,130,218,980,343,892,731,719,826,418,741,093,726,325,
286,557,361,079,846,076,797,915,041,483,468,883,055,492,542,959,943,063,778,
999,373,795,448,916,663,028,489,529,864,099,593,016,811,369,363,284,353,677,
140,107,559,158,368,091,317,727,409,885,809,477,733,915,096,079,755,322,379,
774,044,588,264,471,325,933,141,300,882,667,883,314,462,731,490,355,471,509,
906,080,484,413,059,259,391,127,285,712,623,908,970,286,852,218,027,151,329,
307,691,916,786,452,609,105,123,431,710,393,128,943,600,571,531,766,428,418,
224,770,772,045,487,881,888,082,169,621,569,756,912,026,245,003,866,185,133,
503,645,228,106,625,948,249,260,794,892,301,450,698,145,304,637,525,787,782,
899,377,463,856,425,670,913,964,446,408,656,309,806,706,684,112,299,141,764,
429,100,581,065,343,555,632,778,787,913,005,689,137,760,929,533,307,360,181,
469,917,330,774,088,717,775,500,674,290,219,408,710,690,850,777,163,559,181,
082,240,129,178,348,972,571,458,443,218,537,778,130,903,106,659,488,856,115,
945,947,139,826,431,730,896,990,969,595,064,016,262,584,304,054,012,627,434,
981,048,377,855,014,997,744,599,540,790,514,645,789,259,224,086,181,803,734,
979,862,310,097,611,627,008,250,333,550,831,819,276,297,316,272,091,674,349,
853,499,525,654,219,307,147,634,705,290,097,946,894,286,834,770,917,744,158,
278,892,445,424,044,661,979,206,046,384,648,574,569,357,556,165,250,902,492,
815,638,925,402,134,443,554,373,599,561,030,828,516,716,486,375,631,314,708,
375,696,317,975,490,662,504,068,752,109,288,656,929,825,595,104,012,884,386,
551,056,454,056,008,188,175,927,787,546,095,034,521,554,298,712,877,785,374,
018,729,610,296,834,637,914,920,356,933,818,601,227,293,832,995,179,127,221,
992,476,737,070,209,046,987,145,652,750,872,760,838,300,777,657,019,384,415,
557,588,784,098,658,351,915,819,777,545,323,181,173,366,858,489,221,274,293,
620,576,859,692,143,584,575,307,693,009,072,253,009,202,365,499,315,973,200,
951,786,027,294,701,105,680,752,509,820,020,136,850,329,149,404,996,067,723,
999,428,044,820,811,952,711,873,915,622,387,549,136,243,021,934,955,569,430,
871,025,738,171,656,366,084,945,034,001,679,278,657,796,656,944,476,260,385,
162,995,925,202,181,865,115,430,704,552,165,914,039,344,509,141,223,637,577,
409,140,643,463,029,785,432,527,113,007,263,942,428,105,084,375,302,530,483,
915,474,624,846,381,742,138,376,152,262,287,740,012,593,299,373,979,957,566,
214,274,288,055,429,050,667,752,128,421,924,334,618,319,882,423,118,588,378,
695,749,893,242,683,229,919,823,516,909,225,701,159,456,129,289,050,994,475,
837,240,186,905,370,010,259,768,799,129,816,224,997,724,269,647,492,493,928,
138,276,122,711,836,974,010,587,122,588,435,261,316,428,088,147,698,922,421,
595,172,804,718,024,764,441,313,184,984,018,360,279,587,066,154,029,973,521,
451,238,542,191,139,509,337,519,155,824,163,300,926,291,295,908,968,804,839,
925,746,912,499,686,127,305,876,206,394,207,022,818,240,026,633,352,225,775,
257,235,122,006,324,297,922,783,419,679,918,071,579,142,278,884,738,006,112,
007,923,309,001,150,059,953,467,181,402,202,776,825,449,074,389,877,314,996,
341,474,772,956,182,964,239,096,404,699,720,400,595,244,420,810,415,884,127,
318,553,040,704,821,762,904,585,834,646,841,405,463,823,375,102,086,750,781,
903,215,389,073,555,224,728,920,522,801,309,515,298,893,770,479,559,327,449,
534,362,101,145,955,128,421,029,336,137,640,289,750,131,755,154,954,828,205,
059,669,136,098,736,008,722,861,712,728,248,432,252,794,805,953,197,078,264,
597,567,700,382,924,684,085,323,653,854,133,342,335,523,101,606,018,478,172,
059,206,335,766,999,132,876,143,268,314,534,573,202,353,046,448,255,500,506,
859,469,607,864,264,710,652,266,837,534,414,692,075,070,762,244,251,204,295,
836,669,847,978,917,555,053,276,430,752,247,808,821,201,878,199,257,047,704,
970,751,541,642,835,067,963,915,370,332,231,377,451,112,987,367,474,753,209,
577,120,163,784,768,009,756,300,250,431,447,340,772,818,890,631,180,021,757,
968,772,834,932,219,745,344,229,800,939,684,610,702,261,750,910,686,068,449,
790,439,137,757,786,467,322,343,394,636,254,479,392,229,652,217,644,288,243,
419,388,780,410,129,939,442,005,599,503,239,551,247,108,922,388,091,631,842,
642,530,218,811,996,389,362,646,897,761,137,634,638,745,724,019,441,818,129,
064,050,368,273,998,867,005,392,415,126,434,950,952,468,522,591,506,148,449,
416,529,009,774,875,854,625,460,908,012,884,404,281,122,319,347,120,756,426,
102,036,432,572,652,272,992,126,452,459,912,879,951,176,179,557,852,522,943,
884,879,161,685,605,960,289,258,575,222,686,011,894,499,739,069,723,173,031,
181,878,921,419,240,983,141,071,003,679,005,630,134,828,069,024,208,709,897,
351,130,479,579,098,831,616,964,297,516,395,245,912,330,498,525,055,404,168,
510,305,192,571,963,604,345,840,058,244,915,953,480,082,361,465,955,867,568,
864,207,314,652,676,346,677,359,503,900,375,047,500,907,918,700,804,865,280,
876,468,469,234,153,581,737,400,390,749,536,453,422,800,686,069,289,168,246,
608,742,585,430,652,172,859,879,040,508,307,502,382,220,049,555,670,076,489,
212,958,882,616,235,048,610,239,253,951,887,526,699,020,616,668,789,451,023,
442,324,013,891,437,633,868,041,646,529,398,538,392,879,625,117,829,857,730,
253,583,719,702,970,563,744,179,782,217,231,732,444,993,350,171,399,962,102,
995,889,233,559,824,404,149,677,987,481,662,579,157,166,585,334,404,471,020,
870,022,376,810,382,106,123,777,086,634,156,483,730,249,594,438,721,476,338,
734,361,697,366,992,549,837,762,198,452,673,725,082,114,972,459,810,949,918,
034,412,604,562,217,375,981,610,895,437,433,678,345,672,895,425,291,686,232,
502,764,839,019,882,081,313,628,761,680,486,288,122,519,360,206,626,961,574,
022,368,749,808,167,721,089,741,484,214,035,813,631,104,887,948,240,437,440,
537,213,821,557,389,580,051,864,875,203,860,472,280,840,211,828,059,239,704,
776,239,562,009,650,516,702,843,599,647,943,853,497,612,269,994,207,331,060,
588,967,502,074,181,577,675,951,726,210,538,869,871,108,402,699,704,031,555,
637,871,673,059,508,636,422,461,095,450,790,704,379,099,345,764,691,612,363,
695,666,613,831,938,578,480,467,081,687,591,797,101,772,201,867,681,634,266,
736,731,060,233,320,157,793,829,207,694,349,007,907,118,589,624,929,160,831,
244,527,914,004,083,704,755,423,834,045,437,981,698,455,379,498,923,403,413,
319,934,311,371,099,934,420,280,722,757,070,830,427,843,351,015,503,830,426,
240,707,194,329,521,520,849,127,668,114,161,478,970,897,168,432,130,892,240,
310,258,021,133,718,538,493,578,009,765,493,273,600,424,347,711,711,835,495,
021,711,345,509,517,184,252,572,556,926,003,618,217,829,268,229,606,115,802,
438,034,764,130,031,105,996,497,441,798,637,579,653,841,188,741,315,439,010,
191,553,604,830,936,727,402,539,858,930,448,456,919,394,027,762,542,797,390,
166,074,071,112,683,688,120,919,734,339,750,178,835,647,787,439,857,013,760,
605,652,881,572,623,685,016,391,680,867,187,167,438,989,279,006,007,900,836,
127,227,336,070,514,642,116,966,266,918,728,984,231,079,343,801,176,194,395,
679,188,365,478,886,039,646,189,690,654,441,673,080,729,863,237,402,271,851,
391,603,332,517,301,427,471,947,354,182,954,276,635,554,442,960,543,685,472,
294,598,675,863,287,966,433,970,715,766,840,617,793,954,177,543,991,917,457,
928,302,254,856,645,544,861,226,667,773,443,837,509,474,625,596,576,697,529,
278,356,046,207,995,210,789,652,027,895,430,543,110,759,112,903,966,967,933,
281,052,347,634,320,272,565,487,656,355,753,220,742,397,566,239,099,520,578,
587,826,347,742,044,672,460,759,293,893,080,690,369,940,118,015,918,386,823,
712,491,784,788,534,047,490,544,631,659,851,226,072,236,430,098,922,853,713,
905,381,402,190,603,001,365,217,469,529,450,072,149,225,541,757,969,294,471,
400,535,260,714,110,866,410,054,193,545,120,805,428,923,950,140,969,602,178,
338,881,102,574,553,922,150,833,860,877,962,133,339,079,024,599,577,849,473,
573,096,781,128,628,463,929,275,645,440,126,810,284,095,912,319,440,961,958,
288,913,834,279,105,787,894,095,485,890,652,728,545,050,998,555,329,066,938,
009,172,062,938,931,468,634,510,173,055,318,000,346,745,598,186,791,307,340,
555,676,784,462,351,956,172,834,206,975,037,291,297,198,005,692,016,697,650,
145,619,327,771,275,105,793,936,422,707,431,733,511,972,781,188,164,200,375,
276,783,156,942,528,827,499,536,861,090,893,102,398,768,485,476,790,742,831,
293,828,406,937,840,119,987,221,651,722,289,112,232,855,404,975,795,352,655,
207,225,475,221,759,679,936,030,491,268,006,749,611,971,952,634,642,680,686,
544,712,324,043,654,199,578,565,484,330,849,290,578,653,747,532,752,598,211,
773,655,012,168,096,410,269,221,025,200,744,971,720,037,511,608,069,258,830,
836,499,421,711,833,668,188,920,378,312,425,900,702,417,556,100,078,236,006,
381,460,227,947,046,331,442,654,172,093,189,390,374,416,683,246,661,675,136,
033,610,096,825,986,929,449,301,253,696,845,830,978,305,056,565,952,081,415,
100,542,453,086,726,545,659,616,171,775,406,978,645,217,367,983,536,707,391,
692,322,351,541,208,353,492,368,361,751,434,848,646,100,200,580,374,076,925,
577,850,054,029,454,351,362,982,842,801,334,673,461,717,796,021,051,582,768,
981,420,093,220,289,606,545,506,870,509,315,985,705,762,138,273,024,123,784,
965,060,283,370,239,049,557,692,837,037,379,668,218,927,695,993,231,687,850,
360,271,888,472,445,046,764,215,800,355,079,080,756,814,638,009,719,563,666,
389,359,331,457,527,570,619,914,185,183,111,110,598,986,725,063,245,738,577,
062,403,502,600,702,387,231,859,161,805,988,619,419,252,592,094,919,167,291,
041,129,051,218,467,380,578,923,958,208,140,426,138,789,256,303,828,439,584,
842,697,639,116,731,370,626,771,962,525,492,429,770,932,377,573,155,731,558,
045,435,576,205,423,336,566,383,920,931,577,470,844,379,007,122,234,212,859,
209,741,119,682,176,226,859,893,449,491,268,861,418,540,320,470,184,114,461,
378,098,289,303,542,044,878,759,776,952,068,432,990,386,016,389,246,860,649,
959,244,924,146,168,221,474,168,962,868,816,616,422,259,456,112,610,218,043,
428,536,680,271,442,672,971,815,938,372,002,952,482,921,434,864,975,945,149,
498,216,255,019,650,938,931,107,638,484,870,095,166,620,387,769,103,606,292,
400,561,548,972,268,619,450,359,243,450,093,763,332,246,477,076,959,516,436,
575,668,559,905,762,544,066,877,211,331,385,457,528,431,168,135,747,344,990,
621,126,882,486,729,631,852,656,236,628,599,377,844,911,892,264,420,898,600,
493,326,905,091,574,202,402,330,682,722,679,334,975,226,010,953,734,283,108,
877,973,754,165,690,784,536,513,810,219,928,004,748,045,239,285,173,564,438,
172,263,826,759,012,793,386,010,655,121,844,642,218,970,161,065,126,636,101,
478,276,871,797,071,166,445,349,860,749,139,059,617,566,779,302,677,680,996,
591,798,122,383,744,734,025,094,878,909,751,955,168,179,589,063,534,296,398,
571,398,984,203,902,423,474,314,973,681,127,640,861,381,598,756,162,410,800,
634,996,745,087,995,760,667,380,400,241,056,843,060,069,965,629,007,048,861,
005,579,605,946,548,002,554,466,587,897,058,484,391,002,872,706,284,456,650,
889,316,781,531,067,720,096,600,017,665,007,254,938,058,984,916,089,024,086,
031,058,065,761,324,250,814,861,611,264,541,802,248,477,356,765,755,928,592,
754,373,080,704,271,801,485,529,211,046,746,438,149,987,125,390,644,208,074,
881,506,867,763,189,568,779,209,678,624,301,628,492,146,313,771,819,072,118,
233,123,199,182,341,102,361,177,829,533,006,330,748,194,503,610,056,477,371,
995,254,915,774,605,080,611,761,567,420,671,235,249,576,162,230,997,921,108,
805,177,294,219,911,237,949,359,667,431,014,593,478,137,988,291,837,859,860,
673,593,759,974,508,133,180,584,632,064,761,633,899,675,104,698,226,256,485,
332,614,874,518,663,629,105,172,227,181,877,712,092,282,833,039,786,035,919,
410,754,329,393,149,180,888,959,318,684,623,993,359,511,455,954,125,081,169,
408,288,198,331,169,361,982,509,164,888,326,489,936,634,131,607,783,065,833,
248,557,765,084,514,133,645,516,473,758,774,493,191,837,335,123,660,751,242,
054,292,098,940,594,640,962,134,157,072,728,025,140,241,010,273,900,077,113,
976,198,854,805,424,465,853,148,412,310,184,691,666,445,612,773,264,580,572,
878,578,186,540,028,546,221,872,945,902,929,102,880,941,827,748,914,243,769,
194,130,044,150,202,981,576,193,178,351,809,253,537,417,930,813,084,106,675,
970,785,683,978,168,357,998,239,201,146,810,836,250,290,052,265,285,912,123,
542,447,240,020,118,738,137,235,079,573,747,967,695,041,654,422,494,895,512,
554,925,201,482,244,577,337,796,460,331,233,008,730,454,697,266,019,157,573,
901,112,120,680,983,206,120,001,289,921,331,987,039,503,020,831,833,389,961,
265,726,950,844,153,275,859,406,484,290,362,650,569,263,605,595,525,306,133,
043,845,769,365,240,480,355,081,784,322,551,724,449,447,299,262,714,939,482,
349,566,534,145,716,186,488,866,528,461,535,694,513,502,892,856,104,842,969,
325,618,696,289,367,541,907,257,295,826,372,299,003,166,266,198,490,530,674,
031,842,664,235,989,265,459,771,544,613,816,014,525,284,923,084,772,747,529,
771,677,376,140,889,584,185,436,379,485,618,221,470,507,617,010,677,291,757,
156,420,465,608,499,742,979,739,831,106,354,228,773,955,447,153,382,949,075,
816,030,471,591,772,847,563,937,748,868,758,535,808,725,803,585,594,576,528,
014,037,278,698,031,531,109,311,083,896,917,357,654,214,533,486,277,085,778,
098,330,407,613,952,520,541,422,891,520,777,940,442,056,621,486,228,525,338,
731,169,478,987,100,109,506,944,413,152,964,660,038,279,290,332,098,506,718,
522,194,619,112,533,965,718,597,234,825,183,382,444,795,071,300,079,188,053,
388,830,384,230,540,395,406,867,294,422,258,646,120,802,889,670,055,515,075,
063,411,165,123,346,568,004,362,852,429,138,314,448,423,067,852,611,314,810,
131,344,146,412,626,765,474,000,912,582,654,854,861,349,111,945,552,550,118,
984,012,684,499,015,836,635,052,621,991,420,376,689,049,518,752,255,533,439,
173,411,779,722,769,911,275,284,576,808,253,541,819,000,344,052,745,442,523,
570,901,666,074,210,203,460,114,339,100,912,492,834,280,465,222,637,726,309,
886,043,949,505,497,811,988,899,547,892,626,928,200,639,005,924,495,959,782,
586,377,974,420,055,109,684,612,314,774,562,099,405,996,351,328,788,107,612,
875,974,180,438,978,693,902,013,981,260,379,331,354,902,904,219,676,871,042,
844,930,320,802,761,816,993,250,776,480,379,847,365,438,887,580,505,845,581,
878,627,378,555,081,638,922,133,114,224,441,316,288,280,166,458,515,697,955,
671,913,441,909,157,987,043,276,779,036,986,480,843,836,635,405,415,154,716,
434,994,346,262,376,395,270,821,034,877,760,502,321,189,623,463,136,641,114,
951,027,062,438,840,558,680,871,245,221,971,803,250,444,035,065,610,302,042,
116,108,050,036,834,974,144,312,334,594,690,948,822,249,385,883,838,995,673,
551,900,062,847,078,200,920,006,015,882,327,586,934,040,250,655,959,007,871,
681,449,015,206,942,155,595,767,526,386,489,418,881,213,441,518,446,347,647,
974,246,751,238,675,544,676,529,140,341,856,220,140,984,503,938,555,289,021,
357,209,326,975,771,896,774,133,561,221,767,069,797,774,550,061,566,599,221,
834,148,238,131,952,902,638,384,059,128,389,160,694,716,091,221,450,227,835,
481,863,317,987,932,384,451,119,887,819,997,151,362,869,050,239,649,541,492,
803,647,578,083,525,783,168,212,597,364,102,087,125,275,332,269,452,197,777,
766,110,049,939,848,577,340,377,362,950,307,730,899,539,152,145,469,286,404,
050,045,874,294,502,834,141,896,097,906,692,617,364,883,134,284,028,710,622,
934,640,696,592,699,353,571,057,001,087,577,596,863,570,918,612,033,076,417,
697,288,661,235,479,392,522,491,356,176,743,270,479,146,025,359,565,030,210,
442,968,586,702,256,998,119,192,790,072,978,432,228,138,932,359,456,052,604,
361,966,783,764,507,446,270,314,228,319,062,269,813,383,580,722,259,455,763,
345,458,674,684,716,891,975,311,662,913,475,895,970,339,941,962,967,693,906,
896,862,406,529,333,469,257,784,676,278,938,194,422,710,730,202,233,517,282,
056,963,267,917,572,670,061,867,621,294,076,160,330,021,353,568,944,380,743,
362,025,679,869,748,581,722,956,322,988,454,792,506,028,525,113,951,852,123,
877,872,865,176,321,003,494,680,894,323,345,218,531,918,405,897,623,242,781,
494,628,748,208,937,123,166,248,826,041,294,146,001,742,549,360,690,709,888,
634,994,306,178,005,766,672,193,049,057,716,867,353,507,363,978,484,293,455,
225,967,541,405,584,733,806,387,258,456,549,955,384,232,531,756,075,480,455,
129,450,651,732,423,933,163,449,166,286,359,983,160,164,451,002,808,475,371,
645,655,929,717,554,557,712,310,933,520,835,613,401,288,875,119,308,331,145,
341,365,644,501,246,599,995,495,062,534,282,620,818,371,788,126,060,443,109,
275,185,591,551,770,494,688,257,998,188,796,713,925,949,871,796,214,308,015,
645,617,137,662,096,859,679,917,975,932,325,636,196,464,301,826,696,228,236,
920,957,857,817,005,069,233,613,055,238,778,729,886,087,863,770,436,297,835,
666,001,913,076,075,990,847,673,901,493,238,614,555,093,330,808,646,963,019,
603,076,341,662,408,108,393,673,338,919,391,611,634,054,024,044,609,172,013,
149,327,668,902,953,170,521,551,587,949,260,230,170,435,076,472,947,205,894,
394,905,383,263,474,462,699,499,525,782,668,573,663,544,177,973,953,066,748,
145,953,927,282,674,150,000,044,818,709,150,628,943,102,277,984,965,394,719,
938,152,893,128,602,778,102,259,828,769,065,022,807,427,729,593,836,186,396,
209,772,011,226,981,995,616,963,266,403,395,204,703,568,877,355,182,861,818,
215,974,086,633,318,123,816,082,326,148,530,580,347,034,545,106,206,661,383,
339,571,280,052,470,243,689,445,285,908,988,462,442,857,524,138,103,864,503,
082,757,154,342,828,107,773,347,038,243,950,295,366,699,118,640,354,339,399,
099,843,689,638,688,336,228,194,740,731,276,239,016,091,668,926,024,728,708,
150,020,354,847,089,930,465,419,608,378,403,442,809,559,818,769,279,452,667,
042,960,853,333,716,947,459,421,233,262,945,651,149,323,860,519,692,801,055,
256,767,483,359,472,372,266,521,966,673,217,813,846,042,519,633,245,364,262,
311,045,995,239,345,810,863,217,222,249,394,206,271,869,567,534,753,729,987,
620,756,803,398,497,568,307,928,887,395,565,695,562,058,606,911,239,932,335,
859,338,691,079,361,659,144,857,260,159,354,197,587,972,371,817,653,800,599,
446,785,955,587,938,381,868,887,151,793,716,557,836,338,037,335,921,282,713,
878,074,464,283,172,454,955,032,507,580,271,138,603,349,284,954,371,774,972,
705,363,013,939,349,554,971,583,484,724,289,828,456,738,186,328,808,436,168,
431,787,768,936,606,613,185,698,529,100,790,751,202,567,185,353,640,680,408,
800,063,595,621,635,638,451,620,253,624,313,235,157,111,927,641,661,469,493,
055,812,540,770,084,597,643,465,503,702,270,408,157,123,134,199,618,707,806,
994,066,753,578,992,418,120,472,754,711,076,698,313,886,433,014,276,032,229,
058,345,184,266,515,336,077,767,563,085,172,197,432,895,783,490,413,116,483,
746,530,805,169,625,227,267,561,539,349,257,125,566,607,828,865,936,977,414,
011,279,480,695,151,297,278,988,667,211,361,675,689,287,768,571,587,062,329,
591,498,331,430,066,518,771,513,364,112,798,684,726,052,125,242,964,243,526,
069,920,603,420,351,456,202,149,657,815,528,046,769,123,334,865,837,097,185,
009,382,112,417,747,436,565,638,906,372,831,870,783,554,701,166,291,091,230,
068,027,888,320,064,980,585,914,517,338,481,305,567,586,585,379,094,911,411,
892,968,998,448,364,693,290,105,710,615,794,286,395,283,744,465,332,670,271,
720,977,901,894,982,175,695,153,456,794,340,438,142,480,250,848,359,706,655,
439,974,375,346,503,153,997,504,751,878,849,325,173,203,647,912,797,307,628,
786,684,531,478,173,015,754,636,705,523,817,929,865,817,312,760,897,220,391,
055,270,271,920,806,450,429,602,480,883,337,118,485,270,610,544,395,189,158,
389,078,959,937,690,446,652,425,568,045,446,140,832,116,487,150,410,395,116,
754,931,172,634,929,690,732,445,400,358,757,866,340,840,083,535,759,313,274,
067,266,354,427,342,794,799,126,152,929,277,034,901,186,919,801,094,050,731,
323,417,500,622,352,242,090,686,943,288,629,763,968,096,566,212,509,982,281,
585,680,082,200,044,849,947,839,210,825,385,643,655,526,148,782,343,627,204,
425,603,793,648,183,711,936,986,214,956,418,233,691,474,699,637,437,539,230,
424,901,660,417,735,063,155,643,621,783,210,363,753,173,638,649,160,282,050,
626,645,161,677,695,406,243,060,291,135,519,094,160,468,990,049,207,285,621,
876,198,023,430,277,152,901,208,860,639,374,384,418,970,715,442,458,006,608,
881,971,568,414,611,918,605,527,599,781,078,261,820,194,494,481,522,111,685,
316,282,757,191,318,553,455,431,842,963,128,224,458,511,561,783,546,921,850,
514,776,708,364,696,458,880,782,050,074,887,965,768,865,908,907,756,996,055,
194,388,933,255,048,684,908,103,645,480,177,784,864,544,514,049,227,545,639,
247,181,036,533,100,465,101,172,324,366,899,054,938,705,547,301,505,803,938,
598,790,487,818,687,936,760,244,409,662,292,048,225,492,989,170,199,207,077,
322,651,931,225,197,034,313,821,614,078,458,574,137,788,450,866,506,363,271,
017,412,130,293,739,952,379,328,691,807,408,529,282,900,606,082,821,091,612,
760,911,275,101,090,646,268,646,826,171,693,716,168,393,285,747,672,624,738,
290,898,537,544,639,752,063,012,230,823,589,982,905,419,946,860,816,857,151,
704,577,156,683,052,947,070,072,643,896,685,811,458,317,869,248,390,898,714,
037,679,700,229,895,609,800,175,767,743,438,909,265,922,648,529,310,148,532,
791,059,105,706,796,034,411,384,197,365,940,276,329,940,957,141,121,530,470,
422,379,601,569,260,219,877,940,022,089,182,691,555,431,995,126,573,044,004,
457,896,414,296,797,965,613,644,454,708,667,420,047,609,941,718,354,407,609,
511,847,012,482,504,072,313,024,520,329,210,944,901,914,776,322,542,458,253,
154,608,501,190,692,134,143,838,794,557,407,591,525,486,700,714,838,050,761,
512,342,501,757,468,885,365,109,971,980,542,491,766,962,619,229,071,623,699,
003,591,436,145,724,923,685,376,541,467,613,548,215,296,089,064,671,466,330,
199,248,201,445,573,720,829,609,994,683,844,743,164,765,066,618,704,162,791,
278,969,745,548,733,374,062,569,506,486,448,047,219,067,091,691,651,473,615,
558,241,632,026,050,405,119,197,607,626,162,618,316,472,042,646,018,198,492,
535,262,173,145,456,693,611,499,114,247,580,466,459,640,174,720,323,249,212,
366,257,579,772,637,147,755,056,406,770,476,952,526,691,068,412,920,471,072,
217,927,217,748,530,706,095,327,208,917,276,857,086,059,765,349,750,693,970,
384,872,162,456,523,280,076,571,281,353,441,860,076,769,230,298,319,461,963,
426,976,468,590,269,569,000,235,651,648,639,008,592,929,049,544,014,548,527,
016,969,522,392,519,736,254,436,038,251,441,167,935,998,385,420,060,418,642,
573,270,094,807,056,691,929,905,398,350,132,189,640,578,525,623,472,294,160,
304,850,245,619,649,573,062,980,321,732,493,089,561,515,744,266,045,496,786,
874,905,575,483,832,357,654,851,100,867,402,536,828,589,797,784,162,174,317,
602,140,034,824,004,791,510,955,577,669,350,399,985,630,571,987,908,850,501,
744,402,051,113,594,680,897,014,620,163,359,135,301,553,807,978,310,918,915,
074,128,837,832,002,483,685,948,179,614,660,927,747,604,444,263,643,249,293,
181,619,608,879,882,016,559,790,685,700,034,286,011,767,395,251,795,982,869,
389,736,542,122,821,412,866,366,803,764,329,093,118,126,374,091,220,904,718,
691,388,731,676,520,737,240,668,815,173,058,844,118,006,533,256,683,553,927,
450,256,222,790,196,994,716,284,912,418,038,970,083,409,464,466,442,397,862,
628,536,676,724,591,756,803,403,464,897,435,011,040,526,550,368,770,144,255,
618,223,274,781,796,871,660,767,941,349,822,978,089,718,477,227,553,012,120,
527,793,209,635,170,054,957,095,603,809,844,603,287,461,904,198,491,192,696,
763,113,109,864,763,978,774,369,338,955,061,355,145,424,901,974,571,280,311,
608,396,204,595,389,621,534,329,679,852,953,691,015,419,576,916,747,833,062,
612,941,804,058,454,214,887,130,259,748,737,607,722,727,491,901,257,516,328,
179,847,899,038,296,708,019,821,999,579,082,559,472,371,807,769,095,735,224,
777,936,221,199,188,500,319,361,956,497,025,903,574,145,571,580,325,920,634,
079,638,426,244,792,950,428,184,972,887,454,823,134,284,458,186,139,742,524,
584,407,512,884,407,611,247,213,518,307,715,740,575,400,327,610,454,473,471,
497,059,676,405,544,617,647,545,868,202,529,676,528,969,037,231,413,762,897,
115,993,630,992,373,612,338,076,500,244,689,768,990,014,703,721,948,730,502,
963,388,291,040,031,689,566,585,755,446,112,171,083,573,264,907,054,493,306,
389,251,989,355,330,999,470,222,702,351,098,881,922,626,372,532,428,469,966,
437,595,091,337,167,231,312,058,989,784,870,041,442,907,479,933,243,191,777,
950,038,528,647,860,363,728,105,272,771,453,299,969,151,612,423,634,834,870,
078,896,563,740,683,934,028,299,773,539,080,113,556,723,426,887,602,943,735,
336,360,466,657,618,230,442,495,170,665,399,774,254,845,029,423,120,712,014,
965,723,802,566,275,633,455,631,921,197,773,770,655,292,022,742,320,057,273,
124,293,688,910,034,996,617,449,325,347,069,267,314,170,108,257,531,723,486,
254,343,392,185,546,067,291,624,682,011,246,915,691,576,591,352,055,789,815,
383,404,547,451,854,509,162,388,014,347,177,599,417,268,007,112,336,978,506,
559,838,604,722,967,920,498,788,392,502,467,012,169,293,664,494,582,630,381,
306,640,284,333,655,560,543,736,954,033,251,390,425,563,758,956,514,316,587,
094,328,946,580,912,560,508,147,376,833,632,760,386,069,293,094,491,617,477,
883,681,133,476,458,592,365,619,759,638,909,480,664,267,075,069,811,201,402,
987,486,027,995,946,479,398,412,813,971,633,425,331,127,277,500,181,759,796,
201,750,510,669,430,617,556,554,146,333,097,561,930,024,643,012,181,581,588,
538,220,512,594,722,582,825,823,701,747,367,313,884,146,688,369,367,366,419,
409,948,633,477,158,572,716,069,905,760,600,660,324,036,976,157,815,225,768,
457,292,200,664,487,529,660,923,433,463,718,795,635,874,689,367,965,635,814,
367,468,214,418,628,503,805,481,429,002,891,184,089,239,013,779,172,057,200,
148,151,877,596,514,045,546,444,881,094,207,946,969,618,835,549,289,154,339,
560,806,765,049,511,983,484,432,239,403,676,476,015,883,925,709,811,415,720,
053,953,916,038,119,590,153,964,543,963,923,552,105,885,850,214,680,225,846,
040,911,298,853,944,875,493,004,316,409,788,557,067,084,803,355,346,165,858,
615,453,899,617,100,361,066,007,369,181,619,076,313,032,229,190,331,508,056,
244,535,102,772,571,488,671,458,885,038,521,481,658,307,898,171,126,786,195,
775,615,152,456,776,602,949,230,804,376,504,340,503,569,529,822,163,022,650,
421,691,378,313,484,592,068,612,246,746,207,472,045,370,350,800,918,312,984,
476,366,673,785,928,036,103,522,083,459,606,064,649,214,102,387,142,325,353,
310,060,075,393,240,402,289,561,853,318,846,502,297,251,163,391,256,248,338,
339,736,547,771,938,294,366,369,091,297,200,888,903,261,792,102,041,668,647,
791,288,919,762,769,447,169,716,780,413,947,505,579,302,245,153,415,332,676,
588,166,874,536,808,134,517,302,312,877,434,566,087,788,284,197,139,227,851,
990,497,381,773,464,871,272,243,891,491,893,298,986,992,630,154,988,705,290,
360,024,470,917,827,671,392,049,857,583,569,234,827,484,612,885,806,856,531,
507,467,632,865,392,197,116,389,746,881,460,563,898,049,063,765,926,509,685,
829,823,633,858,140,999,950,051,597,462,882,617,235,053,086,164,107,224,529,
387,825,975,556,884,559,777,647,211,134,806,459,247,131,777,825,565,947,566,
951,920,462,964,484,148,578,130,705,813,806,778,986,668,540,685,107,329,928,
034,242,832,271,700,900,983,569,574,896,979,676,463,553,066,947,288,832,804,
012,622,125,378,993,868,002,296,344,826,515,111,339,389,799,976,892,644,872,
985,752,166,143,646,151,737,899,734,550,380,920,730,732,341,731,811,396,481,
772,374,227,828,881,456,569,232,270,882,919,671,689,205,330,847,097,203,911,
740,905,312,530,665,421,441,572,498,650,132,917,014,976,028,784,889,486,575,
232,466,227,894,600,854,847,876,192,258,013,343,295,783,863,810,561,221,685,
377,606,195,920,062,093,059,451,659,792,048,883,092,856,788,610,996,800,633,
214,552,613,902,136,994,766,991,183,359,771,203,957,712,606,887,748,954,260,
491,121,090,968,959,920,817,269,675,972,623,614,006,704,670,440,206,134,528,
057,583,940,801,000,311,839,533,963,433,076,877,789,690,176,472,108,423,699,
197,639,530,180,121,439,871,602,327,140,757,174,128,200,526,324,487,270,572,
869,231,360,838,342,937,507,214,339,620,816,218,029,894,858,903,420,201,808,
531,632,954,146,669,779,172,459,826,513,934,684,268,378,359,012,003,406,196,
094,260,179,963,918,595,971,723,500,749,709,195,729,582,941,770,789,482,732,
631,815,480,871,538,204,995,840,153,712,958,840,464,711,884,961,269,323,725,
408,097,307,609,773,411,267,130,238,458,895,107,871,705,823,414,882,211,760,
817,633,853,686,502,720,097,823,089,377,890,769,206,666,604,066,686,365,197,
644,235,953,667,281,778,242,273,464,818,739,185,667,101,639,086,698,909,147,
422,266,406,171,888,842,385,322,043,400,225,186,476,190,848,128,137,141,098,
411,642,629,174,347,336,151,522,642,037,443,292,930,074,787,861,132,237,289,
976,177,477,258,797,061,865,146,969,697,141,206,421,111,492,741,354,370,484,
545,328,256,650,669,997,017,882,431,969,033,037,570,208,518,330,752,554,517,
644,898,454,498,689,702,048,871,534,859,112,470,374,309,623,653,296,175,414,
116,094,903,356,477,561,393,377,484,433,229,780,823,909,255,958,413,701,667,
208,763,550,352,470,428,743,567,972,930,762,910,204,682,260,433,705,888,460,
580,177,035,475,930,570,065,653,381,247,897,886,511,956,455,355,909,276,552,
840,880,755,968,125,205,448,955,238,398,962,156,112,192,768,066,365,432,823,
277,792,047,271,466,758,819,381,171,619,606,899,193,609,663,844,677,278,002,
539,984,332,702,713,661,758,458,609,719,131,244,105,988,032,159,474,868,886,
388,094,039,855,262,403,067,840,019,752,824,572,150,348,443,483,089,621,837,
381,372,762,350,559,694,767,618,030,809,402,954,214,003,857,201,018,982,742,
060,105,428,403,065,395,732,117,098,298,554,955,468,834,720,941,449,150,651,
120,277,736,580,822,849,551,837,018,040,551,944,563,982,953,573,630,003,226,
878,860,793,319,724,272,976,706,072,010,025,347,764,181,478,810,179,461,001,
509,795,412,039,200,837,217,249,677,981,572,831,502,925,709,066,476,641,149,
332,371,547,992,109,553,570,640,093,222,149,349,779,814,342,048,881,918,564,
756,120,157,059,317,180,357,159,333,662,851,667,465,857,063,789,159,763,312,
994,339,989,785,596,812,151,904,600,874,464,621,740,531,592,279,625,156,395,
774,975,298,341,838,741,213,164,429,501,615,191,508,186,807,841,296,757,955,
926,012,762,104,139,829,751,136,646,410,855,330,755,573,179,902,367,166,789,
420,499,944,192,853,871,911,344,403,427,839,211,892,820,885,345,691,861,223,
656,247,476,657,104,826,516,816,167,506,181,365,157,391,000,912,666,421,159,
821,600,714,929,608,784,611,026,922,719,163,230,513,199,364,178,476,298,441,
268,396,531,197,889,782,150,181,570,383,097,941,687,395,250,690,260,112,309,
824,025,266,622,844,114,829,397,000,728,985,556,657,429,899,005,145,856,586,
557,656,559,849,592,568,879,401,838,279,615,756,984,877,994,134,209,580,683,
823,913,482,554,031,533,179,267,309,735,537,619,612,359,790,749,438,517,947,
452,519,333,083,670,350,425,612,232,922,577,162,127,105,592,464,909,207,739,
491,133,603,783,794,588,707,974,822,481,784,792,447,299,288,717,378,144,641,
356,505,098,954,985,911,085,838,513,921,226,019,515,487,132,649,875,243,473,
198,940,847,671,454,802,554,216,611,484,519,537,653,711,518,992,963,971,001,
278,627,128,544,905,594,028,745,670,828,142,884,610,412,958,131,518,240,530,
191,680,667,365,955,341,938,790,773,788,808,337,359,591,513,133,939,807,774,
075,887,453,732,540,027,468,418,973,167,658,649,084,645,393,526,269,161,396,
404,748,809,068,366,679,066,645,806,451,763,877,475,120,746,476,350,896,990,
170,378,854,953,516,485,899,300,797,523,892,610,655,840,598,633,073,488,969,
064,124,060,681,946,993,506,759,227,467,998,646,459,845,724,242,133,964,846,
582,218,895,127,895,647,843,796,087,702,649,272,342,889,775,565,724,593,057,
640,929,041,555,627,470,621,363,768,631,631,521,363,372,652,302,741,606,621,
475,846,465,831,080,729,645,756,482,430,018,499,088,850,103,665,583,330,042,
027,000,181,796,773,356,253,172,102,197,930,558,580,475,186,108,810,811,930,
193,251,061,544,421,588,099,777,330,146,281,587,607,039,236,277,316,466,275,
419,023,764,929,137,579,735,414,160,264,096,795,465,656,138,899,440,856,675,
060,140,804,156,323,404,710,096,027,069,709,356,205,047,443,675,831,248,671,
428,380,509,013,446,662,685,327,912,619,603,848,102,158,077,904,426,107,875,
914,456,880,802,216,135,145,110,260,779,777,284,249,873,910,616,153,067,583,
331,429,863,520,928,012,315,244,741,045,628,181,685,051,244,742,773,970,651,
665,731,193,456,727,394,756,661,755,699,506,357,357,353,773,348,166,606,961,
985,992,816,493,256,455,203,766,691,862,676,852,832,548,052,127,323,254,084,
494,959,776,490,675,302,491,249,712,035,302,857,573,590,719,860,991,316,710,
513,378,308,034,856,373,338,009,857,927,739,261,208,766,610,023,856,277,935,
497,949,462,488,070,945,240,307,189,101,546,716,449,995,951,256,929,232,455,
535,703,149,216,111,633,316,060,519,062,917,317,714,068,833,723,864,001,479,
404,273,421,562,630,606,373,643,118,485,150,441,216,456,543,527,726,000,955,
979,011,763,053,560,973,039,817,571,048,616,812,735,944,033,233,476,003,447,
076,106,314,503,118,606,487,621,296,274,907,129,070,296,653,421,581,081,032,
989,194,798,282,616,582,781,137,463,139,719,350,953,275,555,411,909,690,892,
290,822,625,065,637,762,376,294,213,616,265,873,788,364,309,260,727,474,870,
273,676,563,700,687,803,438,130,843,698,683,730,276,053,591,104,581,199,487,
953,729,803,444,118,654,759,410,253,774,265,026,853,434,441,008,435,016,828,
166,429,060,365,606,036,564,659,104,533,947,864,767,172,674,958,657,407,245,
842,943,812,313,456,613,999,999,884,391,200,650,100,715,369,443,792,617,707,
663,978,615,055,660,730,135,320,249,316,720,642,462,390,329,232,672,185,508,
713,696,785,702,696,469,690,082,582,465,503,868,378,215,017,776,362,763,367,
751,650,523,250,743,754,706,206,974,378,308,821,958,422,655,936,786,495,789,
554,098,504,705,143,042,812,871,460,503,613,842,734,663,232,153,098,314,255,
649,361,246,922,948,090,101,197,488,015,576,467,859,828,682,260,316,490,936,
677,394,840,331,502,668,243,520,612,880,831,793,269,918,258,869,047,996,358,
023,798,014,456,013,503,488,744,772,589,623,764,281,519,541,106,332,816,295,
605,391,961,615,710,827,147,682,605,293,543,546,922,423,133,029,972,823,819,
236,610,377,367,500,376,831,409,744,361,120,609,905,209,916,652,661,823,994,
693,454,757,866,898,051,073,746,271,105,067,253,955,232,431,521,255,022,216,
927,078,045,094,205,217,053,174,628,440,330,295,880,306,253,741,319,341,562,
445,477,734,959,067,661,382,383,607,543,169,631,235,592,580,299,396,731,773,
936,948,428,638,764,371,064,723,513,781,678,734,252,826,697,387,264,770,539,
974,757,941,655,672,258,374,350,347,675,095,609,431,353,593,299,856,920,363,
945,245,441,865,530,927,299,237,205,076,034,092,441,553,623,374,627,044,279,
951,380,784,380,357,831,460,404,146,826,231,795,257,032,634,140,049,807,984,
378,994,771,629,074,142,395,569,426,324,328,768,569,432,139,513,510,229,874,
207,228,957,672,351,701,949,174,825,118,418,638,741,877,267,673,392,698,338,
823,663,886,089,975,314,716,926,535,853,226,978,272,210,163,456,504,451,413,
092,656,127,883,693,508,574,581,337,668,755,429,887,141,533,312,505,926,965,
275,449,155,269,453,374,126,664,361,017,774,626,327,001,471,958,879,991,400,
709,191,854,045,479,340,773,548,347,434,286,952,494,100,439,793,166,152,962,
756,809,039,613,872,735,007,236,831,670,298,808,630,698,782,944,616,458,717,
154,434,668,457,915,601,624,020,542,665,243,411,730,102,517,871,172,250,751,
205,331,220,779,900,934,721,765,132,660,757,727,052,471,689,242,258,305,348,
184,411,045,539,828,330,549,015,160,088,015,490,484,189,576,725,974,686,461,
026,022,704,655,015,896,692,481,456,387,885,226,218,012,530,034,678,343,249,
099,657,236,343,541,062,594,675,085,641,221,628,939,459,838,309,441,997,123,
449,290,162,072,776,421,709,969,848,199,967,937,432,447,274,329,382,373,027,
739,731,826,099,167,128,905,625,080,565,114,123,411,580,058,301,247,595,031,
708,721,386,825,535,978,439,805,249,022,582,335,495,613,060,842,414,914,797,
579,737,408,275,703,251,009,976,995,337,259,458,699,497,889,032,383,348,201,
690,941,779,188,696,381,162,832,423,693,941,795,217,863,117,361,661,438,943,
892,104,381,010,094,695,001,555,198,008,276,017,322,905,006,407,794,732,299,
750,900,839,370,387,943,695,908,957,146,421,331,496,511,509,731,732,917,559,
027,011,294,920,192,565,819,476,391,595,899,438,290,443,907,474,458,743,294,
381,230,356,246,215,208,105,755,234,909,652,216,459,514,387,103,012,222,896,
994,968,684,461,881,003,818,774,949,210,891,045,220,001,670,822,020,079,580,
803,459,883,719,980,906,185,698,419,507,279,360,300,268,118,047,726,469,424,
617,167,979,784,471,476,833,956,074,953,627,316,646,287,586,814,183,623,296,
906,592,250,984,405,279,867,669,494,469,068,596,151,020,463,705,819,719,611,
301,714,969,088,969,362,309,143,794,620,758,668,852,000,903,776,172,383,782,
475,353,555,974,126,023,371,829,895,955,512,917,853,758,044,596,711,305,181,
999,615,178,448,790,305,692,076,840,508,590,464,832,996,902,162,629,521,271,
325,319,963,305,875,069,580,420,643,353,786,779,279,920,256,118,618,047,004,
785,358,283,244,379,943,154,597,506,432,812,972,031,949,827,339,730,138,588,
156,313,326,605,310,625,703,777,250,463,366,456,850,102,696,035,732,343,887,
384,805,975,900,136,907,744,701,726,250,930,767,807,591,794,617,051,088,325,
738,770,392,924,038,826,386,870,404,078,618,103,306,176,439,289,583,245,589,
015,263,577,322,774,907,644,176,439,998,224,314,662,341,699,876,210,049,207,
286,745,222,413,277,462,916,905,174,591,452,420,744,399,833,117,563,220,598,
890,578,472,867,856,805,743,191,568,034,144,103,503,800,377,607,255,314,845,
346,353,442,461,043,647,351,266,167,718,328,683,799,713,361,969,622,551,272,
416,822,649,570,061,424,134,665,215,729,862,450,191,293,565,123,308,192,752,
067,041,719,110,406,891,494,128,102,321,059,799,804,502,010,925,322,953,767,
264,235,224,247,666,596,496,425,371,536,004,909,441,909,074,399,360,803,821,
322,374,499,371,768,408,075,645,346,971,496,421,816,782,182,504,703,563,896,
604,481,403,713,182,157,978,362,161,662,868,596,859,945,463,707,242,612,560,
079,335,152,908,837,923,278,087,215,109,757,565,666,519,049,404,645,687,196,
682,230,899,262,235,393,955,950,057,725,269,313,537,883,748,537,535,895,255,
820,030,653,516,934,095,403,335,843,209,594,686,156,216,394,120,079,086,053,
459,849,149,497,879,029,933,825,964,292,727,844,271,337,357,211,376,226,820,
119,232,935,191,835,036,448,842,788,022,364,184,301,460,243,572,974,812,770,
217,144,705,699,514,185,300,179,489,658,922,899,615,491,847,582,012,834,886,
825,514,638,573,991,386,062,057,282,644,375,809,703,173,771,339,663,243,468,
634,738,464,699,405,510,420,417,161,932,367,498,075,495,136,419,785,798,483,
508,651,410,828,314,284,667,006,224,644,315,135,842,176,809,583,640,746,505,
012,593,125,719,539,891,592,940,232,977,747,392,886,841,847,557,646,070,645,
053,102,230,546,453,976,699,558,520,652,794,614,093,584,441,051,862,719,352,
566,553,301,634,636,173,684,694,201,204,226,412,448,837,730,880,515,929,764,
347,361,184,923,268,939,900,515,347,132,246,238,465,015,307,670,931,197,397,
331,947,510,621,499,198,540,622,483,241,036,265,840,916,659,564,088,988,295,
747,965,647,440,181,773,721,562,133,484,460,373,160,619,101,117,476,649,857,
409,179,028,237,838,027,534,721,672,984,476,092,238,472,775,778,660,048,125,
254,453,804,705,516,825,903,757,642,304,499,567,341,826,389,671,618,662,512,
177,285,024,380,298,500,708,483,366,923,997,946,190,266,853,657,242,977,417,
936,450,813,225,796,666,193,141,961,079,885,201,702,753,045,335,180,474,639,
343,919,695,349,244,393,397,623,991,264,824,181,608,114,093,601,178,461,439,
418,050,693,337,852,674,650,250,663,215,921,422,205,780,586,792,658,871,242,
118,118,175,230,119,577,317,729,766,147,745,066,151,424,230,186,758,055,044,
571,421,520,925,100,244,304,612,978,587,855,475,705,727,373,089,141,195,304,
089,382,707,667,133,344,210,752,576,146,385,446,352,111,133,491,063,088,724,
926,381,698,343,159,592,783,829,830,740,766,872,517,405,723,081,969,010,633,
435,560,848,299,813,873,301,365,987,152,733,428,097,533,362,888,056,388,531,
305,589,232,662,575,719,036,216,422,750,655,007,458,154,948,912,385,379,838,
851,905,989,162,211,659,380,675,664,339,822,670,300,418,015,064,056,875,157,
497,489,205,525,066,579,298,466,328,809,097,025,919,432,784,760,010,784,134,
871,916,168,145,677,173,138,901,286,344,606,753,979,442,990,401,454,178,188,
105,092,873,929,902,374,045,548,826,384,885,725,749,379,822,215,276,865,362,
937,885,349,984,349,159,052,687,454,898,835,698,522,104,734,628,541,091,217,
524,812,744,165,987,077,472,187,113,297,493,418,194,771,135,578,337,126,640,
424,360,529,772,714,446,540,915,331,783,086,745,937,489,485,969,520,125,861,
406,796,983,115,829,115,730,674,313,430,132,409,293,157,266,584,149,640,027,
462,353,494,498,602,474,057,338,282,922,066,203,821,729,918,386,552,529,820,
625,386,173,559,571,020,262,446,265,856,101,544,547,907,152,645,323,945,351,
307,872,957,698,701,881,008,307,878,076,117,761,468,293,189,661,356,569,681,
127,013,992,756,268,599,131,681,552,990,169,889,416,937,326,726,167,021,901,
677,373,011,089,561,075,973,827,472,342,806,113,374,996,999,826,935,805,639,
542,527,644,383,312,571,746,419,183,933,672,146,113,495,351,345,494,873,716,
571,892,786,823,614,534,786,551,836,727,042,358,125,229,094,239,014,690,958,
717,158,195,308,895,205,026,617,938,778,856,151,794,469,815,781,665,607,637,
660,928,681,524,544,324,548,515,356,144,042,489,068,444,514,539,098,330,119,
569,098,314,885,465,622,701,281,335,969,145,600,166,032,998,791,401,519,583,
799,836,880,702,371,740,912,631,717,675,272,583,548,096,855,120,108,143,336,
531,669,837,188,350,187,853,527,708,980,626,391,939,669,476,304,754,975,522,
922,412,322,100,791,064,824,831,710,353,052,969,094,550,979,443,742,014,221,
396,442,289,965,621,332,285,497,717,230,271,213,459,980,416,166,446,832,328,
672,732,529,882,688,465,762,123,970,857,863,691,332,669,311,123,333,857,604,
465,486,964,641,337,998,080,464,445,042,846,273,090,351,129,230,810,272,409,
498,714,565,648,794,698,255,364,280,656,438,295,729,507,971,080,651,691,797,
501,281,219,186,403,638,589,786,729,916,791,413,005,388,641,742,909,201,650,
622,595,195,189,466,966,503,332,048,162,284,595,308,175,517,911,808,985,737,
032,027,096,684,209,324,974,654,951,012,102,354,562,492,938,598,104,881,454,
396,163,079,631,023,367,551,591,259,835,973,370,817,872,974,856,625,577,837,
204,276,582,087,735,948,720,322,714,102,203,202,389,170,436,487,683,875,282,
378,872,366,349,503,088,800,380,373,165,716,455,115,647,955,437,397,716,556,
382,921,487,957,996,758,685,665,150,957,149,206,229,878,220,122,800,854,187,
769,164,311,858,082,715,441,221,249,192,521,692,949,279,907,350,628,075,301,
849,799,855,425,967,353,973,214,460,895,502,219,621,935,968,080,461,214,474,
864,704,357,719,266,815,937,047,328,192,135,712,684,366,642,050,582,015,179,
138,352,090,878,028,268,862,955,818,714,143,440,648,722,251,371,379,701,740,
317,827,597,612,592,908,365,979,148,420,082,912,401,787,678,275,416,434,619,
736,639,650,906,310,413,249,800,800,853,053,615,357,714,218,596,949,162,760,
301,855,678,773,734,535,526,803,166,210,445,949,467,625,897,583,665,931,766,
907,987,158,882,104,714,933,505,606,590,702,815,307,310,620,535,668,022,181,
218,507,509,347,092,716,303,384,280,858,581,848,881,073,081,515,893,081,931,
213,381,829,991,481,663,920,213,184,349,805,258,903,348,823,903,040,148,605,
192,471,442,867,710,238,514,319,100,403,134,996,393,327,574,718,145,405,435,
496,451,294,905,304,377,590,566,806,868,830,237,741,931,629,910,552,342,308,
472,466,850,007,319,965,304,432,662,824,807,926,149,159,067,077,049,414,423,
445,555,248,077,615,306,994,818,931,922,650,559,797,750,027,855,307,561,966,
263,005,680,832,905,012,210,754,905,616,736,650,966,368,971,077,380,355,023,
942,726,636,003,027,573,083,809,586,472,060,661,398,075,202,769,461,618,456,
192,687,526,807,292,448,677,429,633,645,967,565,729,937,670,875,525,716,753,
870,341,498,538,481,232,531,896,555,723,410,866,763,232,043,736,679,451,648,
627,449,176,106,155,477,039,891,378,245,233,960,432,235,879,790,615,590,145,
685,356,127,226,465,743,222,132,647,862,075,233,935,246,305,423,250,202,252,
127,468,869,453,719,564,653,583,387,158,289,316,464,330,789,628,720,499,664,
782,470,295,095,125,081,431,770,412,581,532,586,549,262,419,283,918,865,354,
046,806,505,554,588,391,999,380,652,763,538,877,712,020,474,367,300,535,243,
375,018,110,080,035,253,487,140,314,799,355,725,324,155,043,605,218,441,012,
236,233,721,730,771,766,057,319,282,340,885,030,808,288,003,565,712,512,536,
492,887,277,513,973,685,237,538,793,761,709,201,218,206,480,754,014,789,630,
809,884,875,493,382,045,753,916,074,665,344,339,180,003,872,322,356,680,231,
599,869,701,330,536,833,976,372,479,691,953,903,019,049,909,885,796,279,459,
351,898,732,905,875,827,173,344,955,454,757,570,064,255,678,853,227,507,744,
660,853,639,388,493,775,353,498,686,496,922,414,832,150,572,377,205,627,254,
420,153,564,160,407,925,835,997,909,200,089,634,942,165,860,466,309,825,560,
134,037,108,912,148,643,254,855,300,228,137,620,834,599,685,990,102,998,174,
715,401,505,294,429,331,672,465,690,507,828,696,629,830,952,151,230,492,107,
848,785,333,705,659,746,086,794,179,081,118,642,778,380,947,074,598,761,332,
848,668,983,127,076,072,725,663,118,579,185,791,879,486,141,132,017,980,700,
077,231,073,004,383,114,290,623,604,981,120,487,069,032,208,024,897,876,443,
053,575,348,689,928,232,609,878,223,336,532,196,624,855,233,625,542,958,607,
624,665,347,829,174,624,604,469,055,394,247,068,476,968,061,571,485,003,189,
591,132,329,224,975,084,233,107,034,971,357,713,166,287,832,956,187,087,511,
843,700,702,158,035,851,236,089,725,301,756,544,715,905,760,728,513,356,481,
584,755,519,024,983,797,144,401,384,696,232,567,061,760,093,064,571,016,992,
978,587,102,347,331,458,981,249,179,796,622,713,379,441,353,015,680,489,674,
104,671,272,426,302,029,419,534,698,997,893,948,131,359,145,560,779,693,568,
521,722,684,410,397,095,664,909,175,848,076,057,951,469,869,596,720,675,765,
146,781,033,877,736,776,189,965,413,605,119,425,060,209,580,825,112,123,374,
174,528,994,740,909,276,754,949,050,428,791,197,747,158,727,409,879,981,791,
198,372,856,518,978,664,481,372,245,383,350,190,142,955,635,464,702,720,512,
510,089,455,240,671,668,033,444,629,279,476,052,674,549,721,685,444,255,817,
488,634,490,096,853,249,994,794,745,786,619,655,429,896,263,478,118,884,447,
620,405,994,421,564,415,635,442,418,875,412,580,458,968,089,847,910,642,055,
515,230,441,474,805,250,468,907,475,737,809,986,224,031,514,982,716,389,915,
359,119,250,124,550,076,593,902,310,086,860,242,366,179,608,238,303,737,823,
640,146,910,889,588,490,865,334,179,500,665,792,592,399,362,172,858,817,651,
018,621,847,721,412,634,786,582,235,499,527,325,984,310,698,304,786,190,642,
182,895,093,010,443,450,348,374,246,850,619,333,497,908,863,617,913,837,695,
581,998,705,013,489,505,463,802,644,683,845,878,114,649,988,966,564,908,105,
100,133,799,697,764,387,641,348,756,538,998,567,036,956,119,842,033,891,485,
529,120,750,116,045,498,961,807,465,891,265,849,433,228,063,345,305,139,161,
045,191,283,166,289,132,227,103,015,067,075,454,206,681,555,043,477,099,256,
298,894,332,960,792,229,116,293,667,163,561,260,921,069,155,418,995,318,405,
239,581,584,908,773,068,819,715,025,581,119,058,605,885,182,005,242,658,650,
191,997,274,852,090,469,560,731,549,824,696,292,209,775,874,794,933,515,120,
041,771,443,624,796,307,611,115,002,539,203,334,866,738,164,124,959,178,952,
231,440,490,358,459,399,915,772,843,014,692,962,462,498,843,171,007,203,193,
184,451,875,930,714,222,680,832,578,537,748,711,480,369,967,877,259,105,938,
447,754,002,102,600,390,170,872,183,257,129,229,344,783,490,278,389,512,426,
608,551,719,932,857,786,709,727,370,850,362,568,110,003,384,938,615,966,576,
764,255,037,416,986,907,925,798,221,236,113,467,095,914,691,805,401,766,598,
740,746,071,157,803,832,703,004,419,054,611,752,283,624,709,836,214,700,467,
458,558,742,629,091,240,791,471,556,808,912,500,741,007,153,113,961,311,271,
135,006,186,972,329,318,809,141,581,660,860,596,323,147,446,853,355,951,255,
188,203,942,636,832,336,306,309,151,722,580,006,232,044,159,379,516,388,282,
729,968,954,363,603,579,093,882,066,482,301,046,106,780,193,667,573,895,941,
480,667,580,200,053,942,695,413,273,782,241,842,250,003,305,606,745,803,186,
223,232,279,963,666,498,958,002,673,741,799,985,962,049,940,457,443,224,109,
929,599,176,394,371,635,073,465,667,490,474,886,284,019,895,001,641,375,117,
916,357,130,551,485,448,969,047,839,328,153,068,544,867,043,788,979,947,605,
629,956,964,917,009,256,661,320,874,440,747,543,479,229,041,295,996,419,318,
655,848,901,133,773,160,478,383,240,142,564,452,396,785,969,411,575,306,370,
514,036,254,064,052,303,152,188,739,787,010,950,646,366,413,574,241,870,040,
271,337,504,302,933,060,645,344,463,792,569,230,443,164,741,735,412,628,804,
068,649,398,129,243,543,471,998,006,388,034,329,530,698,737,170,446,994,763,
622,683,699,161,616,696,528,605,157,774,707,116,322,465,546,708,880,276,868,
223,669,030,266,465,359,209,196,419,604,617,365,557,134,792,894,022,993,803,
524,502,248,790,302,196,502,496,047,837,059,518,466,572,498,452,485,356,387,
870,287,544,151,329,962,441,608,220,492,594,021,576,329,756,171,985,114,792,
582,731,682,073,873,195,522,817,176,625,230,230,370,452,449,696,203,372,320,
317,649,405,891,789,627,285,181,321,695,757,349,493,915,097,667,262,978,537,
124,993,228,992,940,642,388,012,950,197,603,449,823,799,669,075,100,926,157,
103,550,819,276,566,887,070,842,520,572,458,892,866,537,357,915,290,769,295,
019,101,063,076,106,278,947,585,005,250,485,535,982,655,635,372,215,691,889,
768,930,582,606,840,970,705,187,767,368,947,082,411,397,288,428,907,905,192,
201,863,526,721,549,585,102,231,535,685,112,103,054,085,127,456,332,647,065,
138,183,845,505,342,191,699,506,595,066,783,962,094,553,526,901,352,581,791,
774,107,416,885,807,091,551,549,903,483,355,314,219,276,358,978,054,861,761,
181,200,937,606,048,759,227,670,938,197,049,743,044,858,120,837,314,915,329,
933,669,705,962,396,120,842,060,763,947,730,245,089,160,566,293,202,675,697,
932,178,708,226,072,555,348,193,324,994,081,482,831,118,631,380,752,634,570,
671,103,031,789,497,010,556,765,737,702,135,153,814,309,131,392,825,346,585,
964,224,790,515,565,685,679,020,748,575,408,362,808,816,055,739,762,830,840,
092,010,061,384,729,485,988,391,274,718,129,585,544,104,878,559,477,822,237,
551,856,301,226,860,675,897,795,966,725,578,149,856,486,273,854,829,050,885,
048,597,031,041,029,328,710,294,168,407,711,872,158,003,778,661,479,315,414,
227,677,233,800,992,723,535,437,617,565,231,583,006,163,380,279,804,138,602,
270,336,454,469,063,995,183,699,433,659,991,781,879,259,128,134,614,384,128,
950,670,523,126,000,548,237,608,293,942,386,211,391,870,860,692,167,829,894,
747,192,387,196,301,275,424,430,086,593,554,914,822,464,871,683,006,806,793,
261,234,420,735,514,755,707,034,438,594,582,363,309,469,673,378,564,877,621,
380,430,902,567,368,328,741,242,774,489,786,061,415,547,919,999,666,490,801,
855,701,685,058,261,170,703,843,900,161,282,260,318,607,744,962,257,296,690,
762,072,309,664,088,223,248,224,169,123,929,686,565,084,032,057,124,149,251,
924,746,164,239,024,567,954,292,148,145,909,512,689,001,498,263,232,904,311,
979,339,324,227,001,044,651,706,551,696,876,831,680,694,762,509,191,860,405,
178,456,763,601,805,905,114,322,063,963,161,852,558,226,445,553,523,415,283,
044,518,173,032,811,951,867,288,958,792,118,596,014,732,868,817,927,551,230,
104,881,810,035,062,295,751,333,811,193,339,795,864,543,126,442,221,138,929,
658,067,222,196,279,012,409,760,757,826,342,305,810,894,461,674,350,359,773,
438,120,219,434,299,762,618,091,015,687,707,349,076,378,567,694,974,352,365,
826,028,550,122,339,577,301,411,527,142,675,566,484,402,197,333,367,966,844,
920,755,835,841,303,503,282,503,919,442,832,029,020,408,112,559,907,309,320,
167,254,304,525,675,161,025,347,928,393,870,226,945,922,797,132,737,680,033,
650,429,473,893,434,947,942,222,933,653,595,674,725,508,304,809,561,764,178,
075,694,667,268,953,111,453,780,633,537,464,598,048,489,404,671,452,987,190,
549,979,166,663,526,681,341,754,487,623,920,776,482,232,145,789,639,841,139,
841,444,832,467,078,399,087,642,484,654,829,455,615,397,129,342,576,419,285,
544,606,187,145,296,837,968,036,727,310,078,496,103,657,034,571,802,237,035,
751,583,074,907,217,136,343,312,866,857,481,038,742,579,077,800,142,351,776,
354,904,674,536,017,959,035,025,331,601,755,681,567,116,384,366,230,050,818,
439,309,205,837,896,885,850,778,853,600,116,344,093,358,030,342,015,526,665,
030,913,909,936,248,859,491,770,822,817,005,669,574,311,016,156,099,065,933,
721,158,120,566,801,842,208,127,896,464,349,958,875,096,118,024,379,411,079,
171,091,834,066,888,719,799,528,382,287,159,264,013,682,969,786,597,252,043,
805,675,408,225,364,302,281,216,773,924,911,295,078,276,099,044,367,460,565,
745,406,545,425,576,652,297,961,239,932,641,382,621,303,811,150,409,036,569,
100,260,089,929,006,810,470,114,705,801,084,151,581,106,118,852,590,237,996,
194,145,934,265,114,529,798,938,474,462,821,159,414,402,173,790,595,561,296,
849,765,109,048,159,720,025,938,995,774,423,293,661,118,632,728,140,525,812,
584,505,924,953,564,987,961,183,068,206,243,335,201,535,324,770,197,955,818,
843,447,212,172,432,247,186,454,442,276,274,742,942,397,077,409,703,871,374,
483,517,199,621,775,497,641,685,507,361,214,380,231,438,596,878,269,480,844,
447,738,141,081,867,296,939,546,885,040,515,516,650,819,852,132,420,607,133,
751,719,686,663,480,725,552,580,120,102,095,735,355,955,935,405,701,890,583,
512,221,053,029,951,617,951,728,515,742,561,344,354,827,684,142,221,748,948,
145,779,861,319,789,967,744,456,199,790,932,940,951,056,857,882,167,120,068,
504,689,034,410,849,502,296,305,691,046,986,609,228,206,458,288,793,783,967,
445,304,081,674,524,314,739,163,305,394,301,409,713,162,429,070,710,825,448,
752,345,504,945,523,647,355,325,033,039,035,031,729,545,569,285,837,809,088,
822,918,827,716,473,348,903,581,730,983,295,016,394,937,494,880,242,652,541,
891,396,397,553,599,493,312,013,301,098,494,368,271,048,150,165,037,031,587,
328,699,219,392,747,213,606,982,737,779,754,116,648,183,140,125,265,415,422,
449,397,413,142,264,277,344,809,157,090,851,934,588,940,955,732,029,887,425,
133,033,532,288,977,107,186,552,197,164,356,644,938,204,052,911,898,281,423,
855,750,830,468,613,617,127,811,452,194,666,035,888,649,664,458,952,659,132,
749,729,076,185,614,189,624,032,815,274,955,682,439,607,894,309,996,903,815,
599,429,466,034,465,807,117,811,407,997,964,679,129,136,373,938,402,713,155,
544,251,771,910,449,862,413,868,963,505,951,256,173,051,832,763,374,208,987,
926,685,455,681,612,507,225,586,414,232,919,799,573,074,387,246,503,038,956,
100,312,504,219,999,144,881,810,190,382,220,040,241,783,515,409,828,826,068,
019,225,354,570,133,228,590,055,336,351,697,673,809,778,915,990,820,250,709,
631,563,466,217,987,964,155,876,547,604,881,013,637,300,842,897,659,153,306,
445,337,403,444,642,406,064,372,368,104,429,828,069,607,552,339,744,444,978,
967,660,398,264,850,258,121,613,012,216,273,690,160,356,523,345,842,123,063,
542,873,500,204,123,350,457,850,044,097,729,640,556,855,719,060,820,202,481,
273,715,102,813,730,437,627,310,593,614,501,136,073,012,862,180,148,974,832,
325,937,783,714,253,933,931,191,717,644,427,555,111,111,256,344,596,012,289,
060,328,210,203,550,993,905,188,089,223,719,323,663,073,510,926,708,407,001,
712,023,164,182,357,419,376,505,789,942,775,446,167,459,076,717,987,963,852,
592,550,803,421,738,685,783,909,349,856,166,116,748,360,844,525,214,859,139,
561,616,032,070,223,272,531,493,180,224,478,253,895,666,572,890,430,415,581,
401,251,494,177,201,655,084,189,468,806,823,798,914,030,813,154,182,934,396,
030,727,238,330,554,900,777,107,667,556,471,740,902,429,312,523,288,465,197,
831,227,612,127,983,495,364,746,757,133,396,540,375,853,163,051,919,021,298,
708,298,903,010,045,806,210,564,659,214,310,297,742,815,658,538,529,307,455,
229,067,192,254,163,480,837,971,937,013,671,430,297,857,192,866,570,700,638,
782,363,542,021,052,658,137,855,609,413,126,348,430,295,432,908,105,072,907,
151,273,808,029,059,833,033,770,954,705,201,368,532,418,592,023,005,307,741,
094,278,283,962,476,714,646,351,564,359,812,342,323,623,194,541,901,518,148,
095,226,363,017,361,842,498,294,297,574,215,019,528,955,965,538,814,565,468,
378,135,343,798,433,780,125,897,995,004,318,693,781,283,721,377,780,844,321,
483,138,114,703,854,897,438,099,570,674,507,810,685,927,578,137,952,228,375,
650,755,224,733,671,403,861,415,942,895,144,479,358,302,255,507,318,674,418,
911,648,809,313,873,124,904,944,093,649,719,104,633,058,050,783,669,635,036,
787,922,512,274,439,074,814,088,584,254,650,631,869,434,680,017,142,791,711,
021,957,184,106,965,703,269,453,859,355,942,520,608,518,490,359,571,487,195,
112,536,865,258,174,252,677,826,685,645,201,728,383,993,257,654,775,982,103,
833,417,272,885,850,084,173,242,471,057,190,187,864,333,875,842,862,014,629,
723,838,764,616,561,528,821,654,538,036,191,854,944,056,476,690,038,423,105,
205,176,050,669,248,949,572,983,171,986,026,954,022,456,841,147,899,536,190,
766,006,630,490,250,906,095,768,161,405,440,332,325,177,014,141,801,957,325,
501,592,522,669,642,332,089,101,005,055,348,334,168,876,794,469,291,507,888,
894,704,899,267,748,784,545,077,309,313,199,720,513,578,790,002,019,967,999,
221,494,547,221,963,271,796,665,198,582,105,099,055,326,048,993,062,581,624,
257,533,696,402,302,750,405,819,941,654,960,311,166,537,832,109,498,550,872,
763,757,803,821,651,650,984,137,713,158,667,290,904,091,025,140,402,724,449,
059,173,138,078,567,152,376,739,117,012,692,037,417,756,396,778,425,801,433,
059,782,687,859,436,438,272,744,246,538,320,925,184,354,965,112,553,594,697,
823,622,416,727,702,779,983,898,139,102,686,657,958,937,999,534,801,511,873,
288,945,066,788,411,007,775,589,788,801,082,594,395,874,463,832,216,802,763,
580,891,071,075,539,401,199,305,200,368,099,655,906,143,382,184,104,960,747,
364,252,840,484,972,697,465,481,878,496,821,779,485,602,280,075,890,185,934,
785,115,344,792,581,758,661,538,036,546,629,871,000,039,885,307,658,309,390,
546,462,456,502,169,638,394,881,297,014,353,609,440,735,127,660,450,908,422,
346,293,230,360,638,936,819,665,000,049,639,921,041,902,219,517,170,107,164,
068,615,955,431,647,325,575,438,153,959,057,335,900,151,283,927,176,077,679,
425,053,335,158,418,515,085,332,382,384,474,654,920,769,127,542,128,850,810,
037,660,768,086,268,760,223,503,405,206,996,496,166,157,646,817,408,625,731,
052,425,123,400,964,437,317,530,587,159,705,718,045,952,106,614,190,850,306,
525,472,363,550,620,022,494,634,159,404,404,865,007,703,294,299,145,986,976,
582,893,728,394,546,798,308,371,686,149,969,037,650,238,333,893,950,028,170,
519,689,936,199,370,432,794,396,910,850,481,982,524,388,511,265,164,986,780,
468,311,783,632,810,888,617,362,980,837,160,903,727,278,494,879,282,335,966,
357,594,896,615,136,802,703,880,444,976,781,908,781,489,021,707,730,590,387,
344,545,350,085,103,006,885,457,872,331,873,137,595,255,540,236,631,047,100,
379,734,823,880,645,650,127,947,227,035,088,533,788,805,463,988,376,590,496,
922,264,744,192,397,487,463,841,450,369,508,653,651,624,601,180,537,450,531,
205,725,587,768,178,603,059,210,482,377,665,106,634,514,663,447,360,711,446,
095,579,026,147,140,462,337,090,693,876,382,621,002,204,474,912,077,723,035,
761,384,024,799,871,330,160,673,537,904,597,304,239,431,392,668,507,251,834,
458,890,420,685,361,508,266,189,464,981,307,678,068,329,846,262,809,831,969,
483,563,964,157,573,822,342,868,845,698,294,568,873,226,607,607,414,138,407,
127,420,474,856,092,745,323,137,587,002,686,354,837,904,092,795,270,664,349,
070,207,722,005,622,753,742,481,679,312,009,651,770,826,157,951,874,317,098,
255,717,711,285,024,673,742,212,021,556,556,100,249,598,608,486,201,502,751,
209,505,191,175,723,195,379,855,370,027,979,978,067,071,920,823,672,376,859,
605,713,883,602,162,745,503,822,378,885,428,706,489,250,128,404,006,320,631,
098,625,301,755,232,568,548,895,904,520,814,716,834,905,959,541,441,025,641,
424,282,576,239,402,168,444,964,543,934,393,444,887,046,565,711,768,316,933,
047,350,163,152,728,384,279,890,783,533,258,917,513,058,038,166,559,212,355,
160,403,669,913,601,653,141,439,462,819,209,262,514,448,500,874,831,201,402,
936,865,055,273,632,201,549,738,272,389,427,642,158,225,712,735,868,549,731,
459,949,243,880,091,477,873,619,603,950,276,953,753,725,101,536,699,044,715,
666,427,862,940,304,794,358,255,152,067,447,009,905,364,137,162,719,109,204,
774,455,741,064,390,295,774,298,166,419,494,218,082,372,950,738,101,590,321,
656,535,721,484,551,425,879,132,707,371,443,551,694,650,752,870,785,769,364,
114,807,314,379,731,024,186,702,825,595,262,529,463,323,547,210,168,980,103,
421,160,030,622,279,894,766,827,343,034,592,436,955,839,766,931,454,633,078,
150,161,074,776,608,757,229,991,940,825,358,539,204,342,745,846,620,723,580,
242,914,377,951,653,318,938,962,998,571,321,477,496,023,639,229,122,068,199,
518,782,209,217,704,498,293,734,318,847,004,108,934,778,942,387,575,517,071,
515,917,341,272,089,708,187,467,286,895,226,791,206,860,050,333,935,904,969,
302,418,336,170,129,617,732,427,858,130,767,578,271,995,713,836,984,014,411,
994,497,663,450,806,803,558,096,371,991,883,372,827,658,324,188,713,451,164,
270,013,589,973,667,937,641,306,800,221,754,153,104,621,483,661,990,699,016,
089,181,951,706,207,507,755,193,272,750,587,038,851,451,240,096,824,362,746,
154,036,694,035,807,187,737,961,212,348,039,725,425,199,853,227,010,642,962,
258,074,302,535,683,549,845,530,164,953,958,092,928,484,231,342,161,938,222,
341,749,459,057,583,603,637,473,633,399,130,390,924,881,610,228,325,474,459,
011,375,955,307,552,166,648,512,594,077,961,682,079,697,554,163,451,109,434,
402,704,664,972,106,631,005,331,403,627,539,006,455,722,002,479,281,718,657,
722,990,098,065,401,807,750,701,419,873,640,973,316,116,211,742,923,436,010,
227,390,148,380,785,071,321,035,180,083,057,292,009,652,512,291,375,834,517,
462,635,361,724,426,057,420,174,171,805,625,218,587,056,433,989,334,540,845,
443,730,687,084,190,493,131,816,427,997,949,831,501,080,435,896,758,416,575,
107,684,398,051,644,828,888,759,650,426,990,783,469,637,821,206,237,600,259,
818,217,230,547,363,679,015,928,406,695,533,641,304,059,608,204,182,192,360,
905,372,244,842,220,078,007,385,687,708,131,329,599,078,577,186,444,354,844,
462,026,231,665,573,590,748,409,679,135,999,572,954,649,813,749,164,891,199,
385,851,779,999,327,397,508,769,629,811,162,725,763,537,744,011,474,402,833,
743,361,865,706,837,602,257,695,020,464,301,143,787,242,606,902,772,115,158,
945,237,227,820,016,043,917,306,599,975,321,138,461,980,089,077,673,794,005,
536,243,276,008,576,343,570,493,011,651,929,136,469,369,663,911,043,528,320,
947,036,238,900,151,358,033,490,890,372,917,725,620,549,530,041,887,374,958,
748,954,324,959,097,819,848,320,118,084,904,377,048,583,424,352,301,020,957,
749,241,961,710,578,302,602,094,396,075,879,829,538,646,310,044,298,575,721,
224,565,045,457,006,302,414,732,031,143,619,842,246,096,316,145,060,903,487,
971,950,202,736,900,005,448,206,797,663,123,025,802,953,855,908,877,114,314,
340,843,361,490,976,586,471,831,011,223,076,090,133,249,978,119,369,476,288,
485,915,346,902,291,479,813,812,700,577,093,028,294,895,366,611,128,411,769,
679,378,857,679,858,910,754,407,080,391,612,514,986,840,347,930,105,727,466,
033,713,360,710,903,426,777,886,120,379,905,583,803,205,345,696,104,260,490,
762,165,238,285,909,705,742,116,298,812,468,683,162,374,932,261,279,885,853,
337,848,495,295,213,870,889,691,284,019,724,552,590,208,458,101,779,273,594,
345,907,457,255,660,357,050,554,820,740,076,725,377,230,068,790,717,184,749,
056,351,308,563,568,926,569,797,233,694,625,409,950,279,384,951,474,971,051,
072,680,263,559,586,286,662,089,473,788,424,711,189,735,999,668,728,770,931,
655,622,882,777,346,016,024,354,882,238,279,928,450,634,472,082,640,314,407,
834,732,765,585,853,982,649,172,095,218,531,516,794,642,977,961,251,070,282,
742,604,279,718,121,255,483,584,640,971,255,938,821,306,204,414,831,465,238,
846,661,689,299,638,080,903,135,936,833,518,443,264,162,388,228,174,272,831,
040,446,199,250,852,173,592,021,868,153,536,050,599,057,418,496,008,149,396,
381,187,797,819,597,111,959,319,318,691,912,265,155,425,681,047,123,975,678,
341,729,344,428,745,012,623,744,490,528,848,507,631,879,599,647,229,522,467,
374,413,745,010,374,901,025,760,785,665,782,947,735,210,197,613,626,626,394,
837,974,969,102,394,385,522,591,248,058,325,603,233,406,131,486,224,437,727,
638,328,881,775,539,226,521,937,319,825,625,538,412,252,727,464,108,922,730,
028,179,607,700,085,256,713,636,552,353,533,550,393,587,855,141,973,076,962,
735,427,071,298,800,049,634,068,587,205,361,691,183,366,284,710,228,404,547,
075,710,953,358,916,841,812,980,849,324,658,010,613,803,203,342,445,192,320,
037,683,307,064,917,136,905,811,818,913,655,375,472,241,347,745,258,338,651,
544,103,103,583,708,837,172,416,718,222,018,597,232,889,757,820,807,212,494,
533,103,697,260,445,461,092,903,124,856,487,901,122,879,930,263,403,750,289,
059,077,079,683,793,112,009,214,115,176,486,659,761,615,111,985,639,982,211,
281,831,492,465,274,986,669,095,235,137,301,971,388,823,631,457,104,960,908,
356,563,060,212,209,312,914,878,872,804,097,217,584,254,373,779,157,683,116,
384,965,061,513,385,701,070,939,325,565,475,316,622,381,627,776,933,334,946,
798,738,807,759,948,765,876,773,633,801,409,941,431,545,795,669,513,879,298,
387,794,906,974,824,713,677,913,980,066,028,624,177,698,444,492,383,624,647,
870,817,756,523,842,041,476,198,525,642,973,134,370,521,329,090,100,977,442,
691,025,262,331,851,531,030,652,168,043,251,688,051,865,457,559,731,297,925,
369,391,025,000,342,176,677,680,760,976,433,143,105,484,743,426,087,149,124,
953,289,497,667,412,935,055,784,220,290,590,481,476,987,560,297,194,721,712,
438,752,375,262,389,892,608,355,577,922,096,415,397,114,729,399,794,420,955,
149,508,281,936,353,692,717,322,649,378,062,441,601,658,598,487,926,915,946,
984,309,383,938,157,461,308,591,486,022,161,035,313,759,848,238,170,070,601,
300,253,676,254,948,609,056,585,088,944,475,915,035,908,460,465,170,758,777,
666,094,854,048,033,336,959,216,071,338,398,761,495,818,568,409,960,187,516,
984,612,503,646,590,454,427,595,132,519,435,480,389,428,610,230,288,658,470,
384,819,194,127,543,115,509,658,945,574,952,836,584,060,885,018,183,603,441,
185,925,688,206,609,322,430,240,896,043,917,972,646,887,398,975,555,208,138,
212,842,489,740,478,656,750,862,869,322,168,928,933,839,949,823,747,350,309,
092,753,554,307,607,245,889,838,147,573,370,978,990,678,869,086,965,480,376,
637,594,192,520,087,272,863,247,938,662,715,980,842,630,283,167,520,970,884,
603,548,387,984,059,576,864,809,650,838,387,909,352,030,167,609,902,334,437,
099,596,487,838,636,035,759,045,783,258,486,883,605,743,804,808,042,272,853,
387,268,936,493,576,852,818,699,747,450,204,468,622,220,805,943,293,490,016,
116,295,245,003,150,678,609,761,487,990,003,665,813,432,334,451,071,680,441,
524,835,174,187,456,173,284,712,703,054,210,846,027,280,453,377,798,723,507,
903,287,076,170,202,492,968,498,826,460,920,870,567,893,430,373,380,198,608,
360,178,623,787,598,282,512,246,839,656,218,209,215,255,109,670,006,951,997,
945,888,720,257,279,179,371,096,950,994,484,291,820,368,778,724,635,843,713,
661,128,723,660,899,855,960,037,280,818,871,889,586,794,898,314,464,911,594,
927,965,127,584,727,376,951,357,560,135,563,953,211,704,873,182,158,077,662,
848,764,302,075,983,584,413,034,415,419,237,545,174,698,138,060,979,302,468,
210,970,877,328,192,932,528,840,140,615,018,629,764,018,118,242,409,700,027,
099,321,018,627,351,266,045,013,456,812,993,759,262,647,137,751,881,020,499,
699,031,637,728,574,621,272,093,236,223,013,618,247,240,128,002,384,037,629,
471,571,787,604,747,554,066,089,175,969,452,197,101,673,631,167,113,083,199,
600,270,259,439,570,246,986,394,309,883,620,486,658,146,042,375,382,871,131,
760,736,695,654,773,632,239,549,182,489,229,578,274,832,331,810,002,947,479,
427,294,583,584,486,251,547,731,296,404,584,873,207,195,454,967,145,538,743,
755,374,939,555,121,799,867,888,762,631,887,080,652,352,776,221,800,189,359,
561,306,466,612,837,321,237,205,686,694,490,585,558,708,932,560,624,616,462,
522,860,052,385,460,198,657,643,123,640,925,594,359,981,152,448,383,556,015,
091,331,282,934,265,016,127,424,308,969,867,863,372,452,875,846,516,271,770,
124,046,281,133,891,750,422,167,111,933,177,711,292,851,340,017,403,434,540,
816,925,185,042,183,561,738,478,228,660,667,898,071,478,573,827,852,713,983,
833,793,283,233,007,648,024,031,013,398,057,246,393,364,146,226,105,655,636,
946,328,130,535,622,310,576,525,364,744,111,210,962,030,445,513,188,536,067,
518,830,639,751,105,435,592,523,763,333,686,148,222,372,413,201,015,727,036,
094,028,594,165,241,907,436,430,732,868,217,797,968,526,120,729,835,580,790,
846,485,540,931,792,043,621,174,923,973,651,803,848,544,866,088,523,952,165,
759,760,162,805,579,231,224,864,468,182,477,003,508,222,704,130,694,160,910,
073,511,515,766,399,292,553,634,427,171,876,707,610,604,659,693,682,334,268,
130,071,633,887,441,725,178,308,672,643,319,787,734,659,008,750,618,205,533,
931,642,883,620,182,130,634,271,592,715,336,151,750,386,936,295,671,500,311,
012,008,226,557,797,223,477,912,015,010,779,959,531,675,495,472,979,327,362,
182,274,127,004,552,433,859,285,748,466,761,593,060,600,843,789,096,841,106,
091,871,792,716,550,795,112,580,488,278,449,363,118,043,322,841,806,878,438,
478,717,189,587,615,300,445,111,748,050,124,005,808,727,604,830,171,946,340,
792,899,981,969,145,670,080,876,811,579,736,068,510,870,975,562,206,052,719,
965,659,037,773,038,786,927,314,270,435,632,211,331,789,049,923,872,085,656,
222,214,361,366,288,800,638,682,393,708,427,564,041,877,273,229,597,516,538,
305,931,752,642,388,937,764,039,510,812,985,716,454,654,470,329,483,532,366,
583,335,010,997,842,301,644,827,271,137,619,073,907,019,976,261,410,202,799,
811,312,877,155,127,260,979,977,055,006,686,493,810,897,465,038,439,153,559,
453,765,149,228,244,649,301,318,588,353,567,700,190,483,496,611,398,555,845,
310,760,131,637,830,830,264,765,825,998,002,381,810,100,659,658,382,463,178,
515,672,810,743,266,707,514,412,185,485,010,150,737,719,123,125,025,334,019,
080,065,824,979,620,171,699,900,404,966,206,826,216,427,950,119,454,311,252,
075,952,644,770,424,883,179,113,376,817,073,260,325,085,406,071,649,464,856,
106,601,512,704,970,226,536,880,826,802,929,489,765,795,346,811,944,772,380,
287,015,991,896,981,027,461,414,304,527,114,234,249,278,962,637,846,919,738,
358,559,918,866,282,422,100,208,711,700,531,704,096,914,044,212,711,975,395,
109,561,156,603,980,607,489,251,295,876,031,021,551,817,463,606,001,486,653,
335,976,642,188,723,078,964,239,538,505,955,570,027,123,964,233,361,037,070,
089,877,835,916,426,977,140,887,340,007,969,232,962,953,530,717,021,164,420,
869,331,549,956,962,569,475,834,328,285,999,575,223,072,008,104,627,105,767,
562,177,849,220,595,518,863,848,211,776,284,309,808,108,318,573,070,769,105,
894,010,101,778,319,258,590,788,253,513,207,168,236,230,592,645,501,595,463,
158,317,374,414,007,943,417,046,537,812,726,254,929,036,860,063,846,080,755,
431,372,668,416,891,112,792,644,047,077,140,048,794,309,259,768,089,781,143,
559,045,152,465,405,694,583,045,453,355,675,690,116,590,537,242,805,170,194,
836,047,791,547,949,684,595,838,694,176,456,026,599,514,865,792,204,509,239,
728,556,227,909,470,678,655,382,506,427,503,091,404,762,777,194,373,906,303,
722,407,142,750,737,724,641,701,979,333,799,444,311,483,121,381,375,759,237,
843,438,174,177,640,226,580,042,009,018,957,910,537,166,034,615,984,435,118,
116,157,393,237,088,221,784,244,235,978,373,830,331,676,254,632,287,451,092,
173,113,971,803,012,027,158,786,446,603,601,497,908,502,497,969,016,615,125,
821,282,668,514,565,613,469,708,360,321,482,796,797,625,169,873,004,388,783,
718,544,194,204,476,888,871,718,985,751,930,916,661,177,941,272,779,766,573,
277,060,126,830,251,867,667,252,526,376,891,201,018,724,201,569,915,188,829,
155,479,548,376,194,181,642,054,373,605,148,175,218,408,137,246,622,830,096,
536,059,458,191,974,702,633,791,498,203,411,331,630,378,194,985,432,060,364,
067,004,654,006,254,322,680,660,442,067,722,159,519,904,571,394,678,535,385,
452,767,958,648,676,460,252,060,789,861,836,231,422,844,337,578,911,781,472,
485,288,077,849,116,977,273,362,868,587,737,365,402,359,162,036,237,650,792,
445,744,412,462,545,806,855,006,786,655,091,208,691,845,187,430,939,065,794,
040,528,313,100,001,063,771,837,827,855,019,162,663,636,420,717,698,425,787,
962,333,908,401,549,476,582,158,611,904,908,961,717,303,175,727,363,805,099,
814,620,360,833,009,017,293,536,936,559,228,242,262,046,618,666,660,001,200,
954,670,257,577,305,266,307,811,078,491,527,529,439,496,828,075,153,959,368,
204,621,553,685,848,793,619,981,072,465,778,127,791,717,377,922,791,713,885,
200,912,346,024,689,797,545,310,485,139,243,257,819,275,510,868,023,112,940,
503,110,254,594,922,564,315,139,413,639,513,537,737,015,082,656,631,654,314,
951,680,578,269,129,542,158,407,622,636,803,017,275,951,753,046,136,122,460,
830,607,380,330,163,705,545,877,712,859,075,325,821,593,782,304,144,363,395,
205,797,991,922,847,446,665,530,391,680,901,018,484,331,819,232,861,404,353,
795,099,249,703,583,694,386,178,877,638,277,371,897,506,062,295,837,399,708,
455,298,792,418,937,591,689,591,300,621,761,972,470,053,839,234,189,288,687,
329,649,253,700,259,058,034,091,508,805,352,922,384,289,366,997,762,561,840,
962,634,187,855,434,491,484,827,254,584,638,927,242,904,023,393,807,978,453,
423,398,678,424,706,462,922,641,920,633,229,542,380,751,497,224,369,170,911,
677,469,797,021,476,147,898,657,085,605,115,762,391,030,484,233,267,113,287,
553,809,958,517,465,880,184,324,483,007,730,817,165,253,969,907,256,095,170,
836,514,761,261,122,398,114,387,865,180,000,047,741,452,407,938,004,389,808,
161,981,455,231,718,583,156,312,970,501,648,069,005,494,952,589,815,267,867,
277,382,183,196,009,196,248,864,469,327,571,901,513,081,157,828,892,972,987,
316,855,746,664,443,913,830,336,416,443,548,287,399,811,420,939,639,768,946,
103,995,843,158,109,570,006,305,343,575,172,056,655,756,416,157,795,499,049,
542,157,618,928,839,981,161,355,580,367,695,492,663,448,527,134,318,242,076,
499,851,959,154,774,519,573,324,800,421,032,974,891,011,260,350,701,718,547,
375,787,260,181,722,024,754,764,609,170,067,516,839,399,229,235,092,040,780,
154,078,082,732,667,853,502,464,798,706,045,875,261,151,778,705,447,866,661,
366,984,416,117,326,132,478,657,078,892,901,627,401,712,192,071,218,210,223,
856,458,823,407,487,620,983,717,544,507,514,995,845,469,287,863,418,055,876,
998,327,762,793,721,065,187,547,570,097,125,103,179,509,480,510,207,614,960,
060,612,429,468,350,359,579,955,244,907,374,576,036,471,193,826,496,003,534,
017,973,590,049,366,008,760,292,152,573,363,236,834,793,578,837,017,801,331,
106,635,040,257,227,544,619,354,179,727,701,517,580,133,812,169,966,026,247,
859,644,729,273,580,088,753,360,754,206,296,904,326,084,089,949,970,894,148,
885,166,554,632,287,216,394,212,051,700,169,279,264,216,926,191,024,650,154,
045,692,387,913,330,529,609,490,117,161,332,369,956,469,072,794,623,604,273,
539,389,430,511,302,108,060,348,513,430,571,128,706,827,336,441,245,817,223,
795,776,859,208,547,037,954,560,988,655,141,430,013,611,196,359,768,412,987,
628,243,725,137,035,742,045,719,015,768,225,197,379,969,441,699,920,985,900,
964,097,771,898,639,414,770,487,791,416,481,152,570,648,672,650,648,050,286,
782,874,113,564,535,210,222,204,271,896,014,137,359,443,380,591,894,498,377,
303,824,326,914,063,209,125,676,146,197,520,371,288,700,730,661,851,244,496,
870,371,979,278,549,687,267,757,225,488,521,970,583,669,454,555,214,022,272,
543,389,001,786,421,805,628,296,828,938,151,424,520,092,227,645,040,402,547,
376,927,512,221,667,422,251,636,695,190,094,708,640,645,561,418,397,161,632,
976,406,327,494,648,244,027,706,952,524,222,348,150,312,085,849,979,816,724,
726,934,748,168,694,282,946,091,643,108,069,983,368,693,083,820,431,356,678,
154,192,506,715,938,681,991,232,913,971,071,410,447,484,378,885,039,818,438,
200,309,361,648,608,579,826,769,091,827,137,987,260,187,083,807,299,860,367,
598,577,247,318,918,172,971,809,589,301,501,632,949,606,072,230,378,866,923,
297,556,871,260,160,352,576,293,956,830,761,757,040,428,161,770,089,018,366,
627,229,884,177,125,176,212,644,344,795,721,430,050,638,836,605,734,837,722,
463,774,765,177,826,358,048,546,173,092,290,843,177,936,609,733,128,081,334,
959,872,869,291,513,322,493,958,209,090,729,175,185,741,359,968,926,273,898,
680,532,874,339,600,625,436,230,646,621,333,438,544,678,785,806,864,488,980,
660,225,397,836,409,004,043,138,526,847,609,944,358,549,010,230,009,112,799,
026,514,256,019,313,843,267,820,992,553,037,154,829,477,044,794,230,195,012,
119,762,932,322,873,798,119,123,494,832,471,664,246,496,988,379,246,569,242,
151,816,185,544,669,621,763,849,204,940,914,873,308,425,737,592,283,882,550,
479,511,729,018,070,170,170,895,353,760,905,330,704,420,825,680,945,255,565,
981,856,252,833,192,581,734,994,025,428,988,719,327,346,145,323,108,068,499,
942,978,296,726,558,851,937,646,731,899,721,363,204,931,612,822,708,890,864,
504,760,080,435,863,828,886,126,144,717,351,691,086,015,163,947,450,105,601,
271,569,878,272,381,637,521,334,267,712,126,537,995,495,565,957,870,912,973,
914,045,046,713,609,269,830,063,585,668,302,238,993,716,567,200,351,939,325,
130,765,677,198,485,250,020,593,720,638,161,242,399,904,237,012,010,166,584,
692,639,611,613,990,970,213,251,948,743,823,339,877,657,317,495,500,956,574,
539,295,537,858,542,896,285,624,521,310,258,568,433,768,251,729,450,264,827,
924,881,105,497,324,156,080,228,455,918,884,040,081,006,440,405,273,808,662,
104,266,511,209,084,720,178,195,297,050,253,225,980,900,087,518,940,624,200,
764,106,099,977,026,408,577,896,170,487,981,935,490,215,124,634,457,559,992,
550,126,418,553,551,098,160,081,105,654,962,331,872,774,352,151,359,771,166,
256,884,441,932,739,903,951,058,655,256,170,299,272,578,040,230,755,226,716,
723,813,311,459,937,311,256,251,064,927,530,720,373,526,624,587,535,959,229,
152,559,467,294,348,917,677,221,141,311,685,834,263,611,253,738,279,271,502,
457,099,953,207,979,008,721,520,454,651,712,526,824,492,773,802,970,347,999,
464,122,531,163,284,165,727,577,137,545,586,074,081,503,966,296,818,349,481,
181,709,876,384,534,781,364,357,868,818,920,654,856,239,049,732,745,008,971,
587,870,811,223,894,580,339,265,480,700,083,894,409,810,887,766,749,487,636,
684,817,227,102,293,273,818,979,601,948,705,562,713,297,519,273,462,688,644,
862,886,000,668,345,865,098,631,722,111,291,600,413,660,534,012,717,094,223,
991,431,616,963,641,883,674,357,005,074,008,056,052,495,403,966,376,365,785,
140,450,060,192,541,053,192,561,553,833,654,033,356,229,597,312,844,560,029,
078,450,160,067,169,110,679,847,736,159,165,222,261,365,640,999,565,582,877,
076,463,951,455,921,110,127,456,739,956,168,183,763,804,075,966,458,162,079,
800,891,427,222,878,628,482,399,667,589,536,629,553,267,360,623,091,536,721,
762,091,615,311,119,342,382,447,099,662,271,148,068,159,518,156,185,836,151,
291,674,839,986,417,095,968,166,655,448,658,496,370,398,626,805,106,115,687,
904,708,052,422,210,814,635,196,220,977,316,470,667,904,027,757,641,645,732,
173,249,377,849,077,365,772,391,943,247,382,470,964,882,048,777,000,535,195,
716,537,839,118,766,632,356,987,122,076,038,924,665,514,861,857,522,051,024,
055,680,874,106,048,198,239,785,991,643,574,004,471,651,619,150,203,418,864,
004,410,331,731,053,452,956,274,877,615,526,798,841,437,022,455,842,836,046,
290,468,626,682,036,236,588,425,306,478,248,227,132,611,182,904,535,090,967,
623,047,703,362,140,738,696,124,315,811,417,866,111,381,230,455,738,545,310,
511,046,302,336,446,373,487,614,168,630,495,244,970,467,153,768,538,340,021,
258,130,712,140,322,239,271,432,804,509,293,828,474,761,326,993,526,882,226,
508,577,433,225,454,493,964,257,830,489,302,549,970,717,699,567,327,326,307,
982,798,628,848,405,424,921,963,020,472,572,451,562,103,083,852,517,872,738,
109,860,601,259,248,722,049,133,036,268,148,245,773,916,369,377,113,296,959,
171,463,223,178,378,890,191,212,097,785,939,288,488,290,686,786,014,300,803,
839,741,196,651,999,129,403,228,349,564,356,582,179,164,297,712,283,509,895,
659,177,760,333,525,765,355,641,952,355,903,432,048,658,991,043,600,176,339,
574,490,349,884,365,823,741,337,205,229,917,813,470,707,829,878,542,257,543,
221,742,641,417,129,947,858,477,337,399,716,590,008,021,294,684,209,098,756,
641,753,296,057,149,901,048,288,497,559,916,703,366,896,645,353,085,024,653,
454,325,403,858,392,928,737,626,424,048,753,794,780,271,539,819,119,866,312,
498,186,720,991,728,864,960,293,547,373,953,643,495,028,592,085,570,202,010,
779,049,487,231,698,134,053,703,875,288,577,835,627,983,028,158,624,414,158,
732,679,432,383,260,569,980,071,200,819,340,609,834,866,786,621,529,253,831,
600,894,866,403,668,343,970,746,382,365,686,166,043,651,504,021,290,008,302,
001,099,970,292,010,702,120,487,964,707,802,150,247,144,598,670,928,494,086,
180,334,940,012,412,154,029,967,669,616,948,044,217,638,416,500,955,442,430,
393,141,613,252,224,579,346,052,471,763,068,930,027,911,960,473,894,382,218,
520,245,221,030,208,417,507,432,829,769,821,794,894,397,930,619,719,064,452,
462,140,011,763,703,122,207,548,789,234,510,783,185,597,610,015,895,307,211,
832,628,919,976,862,975,527,019,184,191,770,220,970,628,880,317,095,112,751,
977,882,253,095,009,840,484,165,381,294,136,702,279,253,596,912,720,431,466,
285,772,003,154,845,575,662,159,480,402,430,029,055,745,888,899,726,719,556,
071,819,355,874,372,968,382,095,628,729,898,572,837,383,320,078,297,891,207,
771,507,401,722,652,517,511,104,205,082,793,193,719,894,494,528,611,530,131,
884,559,686,916,474,762,116,009,686,516,900,508,762,026,399,940,439,005,568,
847,490,147,700,298,402,760,980,393,146,794,048,117,723,934,238,168,042,049,
419,669,745,027,134,696,577,281,309,406,798,299,983,008,260,171,961,393,330,
997,289,134,728,709,280,766,316,629,083,957,578,452,946,463,000,507,873,630,
866,477,359,091,845,714,032,662,320,819,802,850,421,564,189,338,014,380,200,
603,975,870,065,269,572,540,469,974,097,357,155,380,610,635,796,761,650,105,
481,445,761,508,141,385,061,845,301,882,001,025,633,124,180,274,398,950,322,
505,176,970,392,717,349,998,036,055,555,203,501,177,206,910,019,935,692,969,
380,736,609,331,363,960,198,351,401,474,814,004,803,501,438,247,452,117,932,
363,481,908,622,505,780,247,222,294,166,149,636,315,108,901,217,553,496,656,
729,426,680,721,755,119,111,366,202,255,274,732,588,617,467,552,663,338,469,
046,087,191,474,279,553,569,799,833,602,035,924,807,302,858,639,093,876,905,
825,895,440,152,943,462,441,039,690,183,246,450,542,533,217,437,134,395,019,
174,629,864,388,310,752,895,197,293,446,122,470,107,030,310,164,212,912,522,
779,167,815,405,040,104,328,793,189,842,586,891,098,521,384,280,893,795,982,
437,483,404,408,012,899,603,156,848,392,718,735,381,013,391,732,236,107,076,
364,736,580,396,500,422,612,803,147,449,056,964,617,299,298,695,152,185,883,
511,287,647,848,191,940,268,555,425,879,431,801,373,571,580,284,336,551,270,
756,879,112,002,553,108,282,898,078,220,929,814,538,993,724,239,732,849,501,
945,039,266,194,431,416,132,747,028,373,259,032,019,648,688,296,323,333,097,
240,657,426,925,972,087,713,549,710,226,672,442,106,172,219,956,847,020,245,
492,852,684,036,921,128,557,723,321,430,421,913,318,422,837,624,896,582,711,
249,541,671,951,033,970,230,593,591,385,281,429,336,893,649,082,264,643,988,
540,904,667,371,475,482,330,442,123,074,071,546,964,920,996,099,608,656,516,
401,413,375,586,829,444,912,782,012,671,705,970,422,881,135,599,098,358,727,
484,603,063,260,435,385,029,421,658,526,665,770,100,506,045,469,429,637,549,
254,932,406,536,154,356,994,214,976,007,284,155,432,418,283,560,498,645,758,
062,108,491,577,775,418,933,558,032,212,386,754,882,904,253,862,348,095,871,
346,015,662,591,765,164,937,123,821,220,945,069,937,127,169,016,454,476,546,
682,303,218,655,809,801,420,448,055,641,185,060,684,686,126,937,197,071,363,
595,084,800,195,359,607,870,652,407,246,464,791,876,842,647,920,867,405,807,
638,079,300,781,058,350,965,494,776,074,015,116,594,599,284,217,974,984,255,
725,878,951,192,910,269,137,516,468,047,698,092,160,803,489,436,303,045,580,
572,918,295,330,226,897,288,519,103,616,336,612,332,968,930,766,634,505,140,
474,449,875,453,160,908,874,435,290,898,649,990,728,365,587,186,821,486,920,
445,845,993,323,529,217,345,218,336,693,859,481,855,801,131,982,328,352,262,
477,407,880,917,610,365,258,082,016,589,568,627,328,021,613,930,677,825,174,
572,769,240,841,587,402,812,201,371,315,101,271,509,514,664,287,403,646,846,
705,559,323,552,812,167,628,184,004,044,522,991,941,548,691,629,968,490,167,
232,074,915,851,346,867,315,858,999,058,399,574,470,012,867,804,993,941,464,
526,345,507,604,594,971,471,881,973,099,782,060,601,542,981,325,892,938,252,
951,395,469,121,419,513,660,619,752,921,870,000,892,306,070,365,748,823,052,
294,146,525,842,793,380,222,874,690,248,834,946,938,320,896,178,035,283,722,
290,776,350,591,980,356,975,895,272,696,336,007,487,682,842,091,470,364,442,
720,081,929,210,511,571,571,695,595,552,112,729,495,760,561,582,572,172,084,
217,094,142,086,801,378,050,905,317,220,870,110,856,699,469,147,734,467,485,
049,294,877,057,190,723,439,833,383,444,236,965,007,732,685,355,666,303,711,
272,317,455,702,656,122,262,655,792,275,096,110,140,432,847,018,421,190,111,
332,131,378,659,504,398,005,592,713,010,331,367,543,790,361,643,134,948,973,
840,714,556,703,528,963,041,952,929,466,693,644,490,308,972,958,532,898,383,
162,705,727,225,057,960,263,994,356,127,971,091,910,662,854,434,807,723,291,
967,676,663,109,161,311,575,824,805,434,048,406,734,199,857,404,917,634,829,
127,961,375,228,530,282,537,133,791,977,045,580,352,976,850,390,194,050,377,
843,382,450,858,819,516,930,905,599,841,039,575,517,658,606,729,387,054,254,
686,485,141,253,538,094,509,436,105,049,559,065,803,092,015,948,155,803,535,
414,673,960,354,991,580,466,667,575,171,356,634,787,712,441,873,385,264,932,
865,493,826,523,948,848,246,659,589,428,850,195,871,915,496,098,340,605,127,
515,181,122,575,432,898,497,725,177,033,115,782,016,994,216,595,931,580,635,
573,725,395,823,592,923,171,915,140,843,715,726,925,742,439,151,334,892,166,
666,730,678,051,439,727,570,286,345,199,337,740,778,848,422,693,763,023,582,
940,944,522,157,460,168,548,735,831,166,550,145,335,623,590,703,146,396,910,
413,519,841,291,678,663,746,986,126,001,200,409,955,893,033,631,432,896,224,
683,163,749,961,244,553,436,365,855,834,791,282,179,487,672,887,316,643,952,
817,026,292,408,896,968,377,021,743,038,110,630,259,083,898,342,426,866,726,
805,392,185,632,739,044,392,072,418,279,847,650,913,281,277,261,311,992,195,
741,245,208,333,575,622,777,980,543,494,724,962,702,502,935,637,328,069,898,
290,678,712,401,743,219,729,063,157,014,289,077,109,877,086,794,960,732,941,
236,922,415,690,971,364,864,658,544,554,730,318,942,379,117,389,777,431,864,
148,732,309,696,266,179,716,154,861,948,396,855,477,584,651,033,725,544,164,
424,883,548,490,229,883,178,911,574,628,713,351,780,106,861,213,102,095,067,
898,557,614,418,938,364,395,054,319,124,236,757,731,527,370,445,437,195,790,
430,795,245,629,116,448,430,947,527,914,357,936,420,380,188,046,091,064,389,
447,498,710,430,835,244,759,909,839,930,891,350,202,060,107,676,467,304,741,
715,785,121,426,257,027,846,231,620,396,606,912,627,167,689,018,339,343,726,
397,388,756,272,479,615,295,491,661,533,030,956,117,718,986,864,813,559,712,
596,165,475,917,392,273,407,921,344,456,519,826,887,010,860,555,412,840,211,
744,859,752,139,572,770,132,112,026,835,638,528,841,183,855,569,468,691,719,
794,055,863,919,091,485,552,103,790,999,313,490,261,561,039,673,116,154,435,
377,242,022,886,577,118,734,309,704,122,637,156,132,884,616,993,894,492,403,
053,640,413,104,818,616,713,086,166,153,110,550,748,955,067,338,550,752,872,
268,481,496,894,145,400,440,450,202,559,566,346,994,416,075,340,139,591,494,
645,161,785,649,006,131,695,205,521,831,638,811,869,749,639,239,590,360,194,
976,411,421,587,746,095,512,968,861,047,099,807,486,494,257,920,554,933,149,
551,398,396,181,640,491,436,599,710,641,786,773,454,924,350,509,369,718,313,
635,775,428,926,859,071,399,389,125,292,771,543,279,183,245,470,087,869,399,
807,382,923,115,425,425,980,310,508,489,573,196,164,694,590,896,802,921,174,
172,674,054,429,794,776,872,737,060,338,422,230,521,693,069,180,276,112,187,
387,775,140,544,965,694,958,205,133,165,732,229,534,144,655,134,712,085,459,
641,073,072,308,196,694,894,230,870,624,119,800,875,471,662,197,471,585,934,
779,363,311,571,895,253,670,232,594,416,699,483,990,545,938,962,289,608,660,
002,177,693,468,519,127,421,530,837,189,757,337,216,065,446,221,422,464,959,
446,233,380,675,790,745,349,512,554,549,649,820,450,271,577,764,972,397,880,
848,037,353,439,234,323,517,990,593,749,010,354,797,911,447,338,499,980,958,
088,462,365,789,941,921,439,092,881,662,082,005,215,835,179,455,409,504,953,
194,614,404,760,390,945,433,974,910,081,411,743,535,346,338,915,267,326,223,
128,400,175,039,285,485,842,165,077,328,601,443,109,108,569,324,221,666,033,
111,986,664,410,777,898,620,686,391,416,784,089,685,285,152,496,779,445,250,
367,707,202,743,774,106,596,739,111,355,771,914,919,370,545,342,846,157,370,
415,693,233,509,587,279,043,099,737,082,299,384,957,994,282,252,926,657,948,
882,536,249,009,552,504,531,191,676,885,975,112,088,899,738,417,699,561,349,
583,305,882,969,829,008,874,150,876,208,242,901,810,500,575,792,206,442,311,
365,515,264,046,098,085,546,182,356,782,207,328,511,982,966,630,191,965,919,
257,395,577,201,393,691,983,442,357,057,400,107,166,708,860,488,644,939,635,
121,723,178,497,871,776,167,787,919,796,644,361,239,430,721,617,188,955,119,
064,520,171,957,910,070,242,541,367,774,232,443,247,239,242,349,003,553,533,
956,705,918,566,667,461,285,379,300,000,662,230,707,331,804,316,046,421,992,
262,493,415,805,543,338,292,460,772,544,231,695,402,600,494,977,424,622,505,
198,313,893,459,745,879,634,466,345,876,867,344,740,055,566,728,669,365,054,
826,139,456,809,406,222,626,393,697,191,932,104,773,957,390,220,839,472,224,
392,563,722,036,084,753,600,662,594,923,286,216,295,147,380,362,691,071,890,
208,810,158,028,734,384,981,320,729,001,711,685,377,801,185,417,960,048,047,
926,667,582,340,071,763,155,622,915,565,119,594,074,315,226,446,870,336,482,
494,703,373,013,196,141,642,418,100,203,456,242,803,524,445,804,571,544,153,
517,155,475,650,885,506,148,338,403,798,605,528,396,137,215,735,414,400,331,
962,802,405,584,379,297,779,344,097,873,772,710,006,387,798,545,779,073,100,
277,965,405,598,305,901,396,331,751,554,190,284,070,701,138,569,757,749,148,
996,676,172,632,798,207,608,100,254,310,962,244,783,237,872,474,898,955,914,
264,313,403,223,273,352,510,555,023,805,495,111,860,836,856,420,075,027,368,
557,992,856,704,717,870,637,167,821,513,591,878,594,732,725,965,304,821,225,
886,106,405,975,768,097,521,317,004,126,514,345,187,068,174,945,020,179,272,
030,617,728,602,896,690,243,311,066,519,222,757,059,016,931,443,309,472,467,
316,673,739,142,126,758,708,004,153,429,881,466,559,676,645,915,496,158,447,
190,101,830,243,088,010,197,547,378,347,647,869,076,813,409,453,596,238,485,
751,890,961,518,816,317,341,036,626,158,760,008,120,807,797,582,505,567,659,
181,363,940,461,579,474,187,901,475,262,029,676,475,743,539,285,307,468,057,
693,685,334,873,871,924,693,845,043,211,085,752,154,112,670,082,323,969,637,
950,404,376,274,335,179,968,982,352,876,139,362,974,039,181,478,493,652,474,
140,032,950,081,878,177,603,171,454,806,691,720,928,820,796,748,071,660,234,
148,660,117,259,714,693,091,608,893,791,553,942,111,333,894,882,345,143,927,
470,382,472,967,165,375,328,986,347,551,839,256,722,883,174,026,575,039,399,
968,436,433,573,416,427,060,606,069,791,919,261,865,149,071,578,239,334,807,
571,400,463,031,095,049,116,434,485,736,762,166,637,606,363,805,732,117,968,
115,133,483,798,482,087,989,512,109,761,174,074,153,918,458,381,155,885,426,
515,825,030,554,333,243,549,747,884,792,801,841,427,281,882,525,832,819,409,
430,054,383,753,894,515,163,015,430,957,619,501,494,575,846,196,799,002,144,
614,455,014,676,311,209,485,519,516,192,823,379,332,427,790,316,736,231,858,
382,744,274,133,545,097,201,582,248,670,231,900,005,202,302,796,917,104,046,
791,049,991,430,578,412,718,728,538,530,966,665,208,379,626,910,150,479,380,
665,791,135,920,422,074,233,903,429,004,022,884,207,093,058,270,888,469,814,
698,711,670,399,337,757,202,180,884,823,052,202,439,188,712,155,582,258,613,
743,627,714,071,006,868,317,851,665,757,484,355,629,413,633,326,884,496,290,
677,026,910,287,463,315,620,968,419,238,667,133,499,795,768,049,167,504,889,
843,244,111,929,322,394,827,682,908,302,722,046,013,287,875,429,020,987,264,
112,431,537,726,794,582,241,400,999,123,967,977,274,821,041,444,622,387,369,
480,795,422,899,710,494,456,676,709,803,294,060,247,242,965,793,905,903,803,
486,574,362,730,701,237,676,626,798,466,019,206,988,221,540,708,983,984,163,
945,570,329,473,108,941,614,018,786,521,748,867,863,019,621,854,879,377,990,
389,477,075,463,867,091,476,497,886,965,311,662,481,252,774,027,748,103,054,
455,674,629,312,639,150,040,525,787,138,217,177,369,244,433,610,104,338,811,
535,082,355,913,642,719,389,195,165,676,205,813,596,690,795,648,904,741,099,
361,182,127,674,014,281,644,555,308,104,535,698,038,592,649,608,528,489,452,
349,827,901,552,928,121,631,414,556,547,738,044,484,272,620,764,858,777,804,
112,469,684,917,259,871,023,228,172,364,510,480,402,551,902,051,468,810,215,
110,870,752,456,591,091,285,947,669,645,914,385,203,664,141,595,667,813,748,
335,528,049,626,139,113,613,185,029,115,284,962,333,370,957,174,682,931,434,
738,387,344,929,993,488,853,475,032,855,470,632,374,648,971,077,546,131,647,
409,900,324,888,092,849,131,527,827,347,515,966,081,870,906,933,534,832,009,
491,501,739,263,377,504,760,273,686,634,851,057,612,925,283,771,671,687,261,
562,844,275,933,037,797,081,357,722,194,602,103,697,406,924,744,774,933,927,
154,310,443,587,466,472,539,571,382,622,018,989,960,724,511,376,285,356,120,
961,856,524,679,223,449,527,350,040,093,212,500,245,457,406,114,556,532,610,
610,211,527,883,956,571,974,468,073,700,229,143,470,373,051,124,589,027,634,
681,482,205,217,706,095,588,847,511,429,791,787,100,404,755,274,548,260,762,
315,347,583,000,725,094,511,318,401,799,524,912,033,425,013,239,510,505,041,
229,921,358,239,154,882,761,267,919,384,448,753,551,903,359,749,011,932,972,
409,533,726,972,125,401,303,209,286,977,143,920,889,751,177,400,906,595,961,
193,276,650,218,429,813,797,651,310,879,359,563,676,915,454,824,026,473,496,
818,622,709,657,267,162,686,904,687,971,643,699,658,197,110,748,564,646,042,
187,338,779,533,935,207,348,945,204,116,141,746,675,116,038,386,496,772,299,
041,123,237,969,456,164,201,241,585,788,416,786,636,878,009,021,450,984,545,
134,889,012,062,453,032,252,609,005,937,202,377,438,679,761,500,882,814,107,
068,166,693,933,771,846,304,226,240,067,184,816,477,900,935,347,401,614,585,
946,779,687,412,322,555,506,943,502,914,510,071,149,031,602,482,630,266,704,
239,702,060,637,010,829,861,676,996,784,894,492,540,706,476,483,898,129,625,
203,602,448,001,389,722,252,387,834,457,832,702,984,148,653,263,460,673,401,
963,197,064,844,826,835,449,118,575,847,928,622,719,615,188,646,468,539,891,
204,924,709,194,478,702,811,458,895,583,614,789,875,336,568,272,937,015,600,
588,360,572,764,759,838,526,536,394,600,284,827,494,056,254,320,929,190,314,
926,565,000,583,017,595,130,536,068,553,277,484,683,504,363,255,360,794,005,
581,092,284,734,424,821,547,864,393,896,760,722,946,964,148,841,252,573,698,
832,532,588,026,871,511,169,472,300,308,732,258,025,532,672,357,570,155,009,
457,178,279,048,601,940,518,361,297,026,179,001,633,091,478,583,817,931,146,
034,503,963,455,208,577,431,069,307,485,942,887,036,351,317,974,123,117,489,
230,113,904,116,875,368,798,727,938,838,345,919,801,279,198,280,705,605,201,
221,074,128,047,314,982,478,390,277,056,759,807,346,082,028,874,272,933,719,
400,171,094,126,733,037,622,557,563,171,505,041,538,809,789,047,304,324,311,
325,941,547,716,890,458,886,522,414,044,970,379,057,022,891,315,316,955,124,
913,847,407,816,424,205,870,985,303,746,127,844,720,805,130,897,296,652,635,
693,893,120,362,681,558,379,550,741,001,641,169,552,188,466,201,301,170,029,
405,057,227,195,260,961,329,950,903,080,278,739,392,894,845,283,471,061,939,
184,214,614,538,092,496,007,750,740,954,293,971,804,616,424,367,805,510,599,
377,210,239,812,654,316,406,943,649,538,947,763,883,207,558,993,294,758,396,
930,469,304,375,956,090,983,506,285,487,130,979,526,233,626,796,030,891,828,
319,680,982,591,445,224,391,354,886,967,438,689,309,390,543,803,288,820,227,
099,828,868,454,919,427,018,538,547,165,826,882,121,962,172,650,593,269,828,
386,555,758,915,367,142,384,279,881,117,934,181,577,978,083,314,320,952,430,
672,113,484,064,199,609,416,023,972,851,203,298,163,607,958,442,825,646,598,
471,192,938,353,541,543,020,828,770,606,078,153,448,206,014,637,912,988,515,
571,702,702,451,833,028,339,653,825,070,901,520,605,680,461,081,918,487,158,
482,432,079,517,094,925,746,306,149,006,296,584,802,050,450,867,510,981,826,
420,535,354,635,739,614,900,516,457,955,990,346,266,139,176,791,485,462,906,
967,885,195,334,690,065,197,879,002,201,775,985,892,438,518,292,321,226,213,
880,600,508,039,161,054,206,303,032,254,153,899,607,930,995,566,755,606,709,
407,382,750,504,059,718,853,996,132,643,800,205,728,364,367,332,409,992,902,
895,740,828,879,586,036,015,206,798,200,058,560,252,170,654,101,783,903,808,
869,234,039,392,838,434,523,788,631,693,758,945,564,435,728,247,928,209,290,
866,779,922,297,176,909,570,906,279,008,716,347,985,416,094,589,360,297,839,
339,396,285,236,181,564,150,657,541,418,196,917,943,555,346,083,418,107,068,
938,115,217,486,823,418,991,191,791,828,363,530,592,587,698,562,997,263,831,
772,315,006,693,714,604,871,949,506,462,927,417,336,354,905,319,658,460,958,
851,731,016,208,726,296,870,300,478,462,645,361,038,602,836,579,257,027,437,
629,579,292,369,012,488,909,872,643,941,548,492,029,031,870,812,710,740,503,
826,653,291,472,246,085,062,325,284,530,993,288,220,211,302,312,202,631,824,
557,758,925,744,533,458,619,109,097,335,182,787,235,321,070,137,209,444,207,
890,735,948,810,475,399,752,549,125,663,464,793,870,315,363,459,882,135,478,
692,291,816,417,563,854,866,833,125,513,106,864,024,488,615,035,286,629,552,
892,837,261,559,714,327,710,963,355,147,990,252,929,219,386,122,985,714,866,
581,836,517,041,648,646,225,153,221,792,229,781,856,918,067,590,581,330,249,
257,586,627,081,444,058,897,247,113,204,519,618,162,158,255,806,836,337,578,
204,005,660,964,678,795,485,385,187,930,335,511,172,351,783,066,948,356,507,
173,486,159,069,682,047,641,430,665,147,670,365,972,964,488,344,178,236,972,
709,558,012,725,431,984,866,956,753,742,091,128,442,539,136,099,330,849,138,
962,202,235,939,383,007,585,697,259,821,503,806,267,548,546,614,306,361,235,
494,927,251,396,085,678,423,342,056,654,203,886,659,873,858,597,162,713,614,
846,269,414,516,563,952,266,655,233,625,698,489,470,387,437,394,395,623,723,
641,284,907,728,678,687,300,012,103,510,399,660,632,964,346,209,462,644,053,
584,780,257,397,352,173,662,740,142,413,950,199,862,770,824,764,979,137,768,
437,313,908,742,783,714,408,573,629,188,236,227,959,877,487,939,429,882,864,
070,964,227,881,611,627,371,000,510,383,954,441,076,382,360,879,134,181,594,
736,924,699,841,285,041,296,207,286,443,323,042,876,402,417,513,272,806,589,
080,047,600,331,174,616,845,855,640,104,319,037,909,463,828,729,506,809,244,
458,384,205,592,934,539,206,213,004,536,716,073,404,048,359,278,594,075,109,
191,673,604,562,753,676,931,816,821,160,098,264,650,533,954,762,064,301,194,
897,456,354,874,404,879,250,048,160,976,424,847,190,768,033,154,231,086,408,
156,123,522,614,883,387,567,997,114,421,956,419,604,413,176,826,004,559,707,
355,831,361,188,192,097,608,195,277,865,282,232,283,513,645,311,184,226,930,
932,470,716,950,563,942,994,757,700,920,058,685,963,687,020,808,884,010,661,
276,080,490,767,272,543,119,981,865,738,338,501,148,477,770,735,025,764,568,
323,142,144,316,666,919,726,565,132,032,269,280,739,492,211,334,761,778,682,
096,057,787,552,781,541,872,452,370,752,744,097,416,597,480,695,928,539,295,
396,052,325,295,175,602,037,062,158,964,918,090,568,574,101,386,974,931,891,
948,865,103,709,260,844,371,526,630,827,761,624,497,070,367,269,147,205,564,
624,802,305,753,225,209,917,992,880,386,965,980,744,495,739,140,066,565,937,
678,451,079,085,752,413,010,404,900,287,555,839,082,397,177,937,499,290,376,
705,790,988,013,023,092,773,073,490,745,304,508,956,247,666,239,654,867,385,
029,260,416,798,668,316,387,840,638,260,302,939,226,191,361,694,954,718,630,
742,140,794,349,533,121,072,696,954,697,665,802,867,589,526,732,520,770,107,
096,985,214,163,995,022,892,640,992,710,875,192,674,248,884,623,441,244,087,
017,562,495,954,208,055,074,140,243,664,590,490,283,281,386,381,765,790,232,
562,371,876,240,384,133,140,239,084,612,264,563,052,563,719,967,327,508,335,
466,135,597,921,485,648,787,871,580,755,355,530,761,917,555,695,650,610,373,
534,896,657,446,822,940,860,782,495,071,375,312,122,478,928,605,709,333,619,
783,695,868,945,955,016,073,808,069,642,348,992,005,302,161,390,338,233,095,
973,009,976,931,485,193,501,771,161,392,173,612,009,264,735,447,854,311,400,
889,651,587,332,882,247,569,727,227,420,699,700,055,098,209,454,078,354,337,
308,233,010,252,686,307,663,452,557,079,633,959,041,446,511,330,329,996,716,
242,439,340,393,594,638,080,997,951,847,327,585,395,425,180,085,977,004,670,
108,457,623,630,908,053,529,937,517,290,547,886,158,763,285,937,115,734,942,
054,594,051,835,026,515,517,332,480,468,935,521,711,625,745,432,376,771,323,
996,682,438,248,096,815,124,013,730,212,225,294,117,060,193,430,914,089,789,
405,886,961,676,134,658,633,510,671,457,440,884,766,955,239,622,126,610,241,
811,205,498,980,217,647,550,143,110,997,442,398,940,230,034,458,614,879,603,
487,755,388,715,811,059,696,812,522,310,969,712,730,798,852,144,884,210,245,
730,916,808,517,201,046,090,232,288,630,276,406,241,274,048,418,310,455,803,
149,695,686,954,899,243,286,570,938,856,366,393,965,989,581,143,134,565,072,
904,150,074,139,980,977,659,701,906,498,056,671,486,137,764,527,019,378,813,
361,060,907,678,695,627,055,170,803,570,476,325,176,798,640,471,044,180,476,
273,394,391,591,286,754,618,784,609,425,260,042,172,946,271,000,270,901,802,
818,545,485,822,006,574,476,820,754,104,624,550,898,775,637,009,508,951,122,
040,812,273,509,268,867,169,547,422,357,229,804,539,711,969,607,330,212,150,
553,932,504,098,253,339,436,616,045,661,273,850,655,885,605,278,054,235,306,
185,872,900,781,765,148,059,690,952,440,094,300,979,493,522,815,226,555,360,
974,739,278,902,983,716,488,550,963,582,589,444,233,964,917,709,069,373,144,
529,542,133,091,698,768,206,790,583,066,242,326,071,052,467,882,525,627,097,
424,594,387,354,791,266,036,511,724,082,587,832,397,001,348,044,023,121,579,
090,146,804,447,433,606,411,822,685,910,708,664,253,883,935,351,832,616,768,
365,250,176,806,184,451,764,300,040,260,417,353,672,378,226,532,789,756,314,
742,769,356,983,967,490,406,478,002,558,435,459,187,557,365,140,865,347,088,
386,020,724,352,643,455,317,843,260,635,214,478,246,724,725,272,196,911,460,
465,267,732,977,849,432,364,670,770,817,619,273,005,381,570,137,451,005,658,
468,894,340,137,655,270,534,732,847,125,907,550,588,609,872,321,799,606,579,
204,388,992,753,301,500,256,315,073,985,281,956,522,789,393,876,229,476,708,
662,127,152,538,711,230,817,531,221,513,411,039,074,284,851,583,720,235,558,
568,201,798,934,149,931,955,754,110,699,390,930,220,450,699,227,534,711,769,
637,387,370,879,912,959,990,494,124,899,983,334,511,207,492,299,692,454,726,
285,752,447,080,200,065,859,174,583,092,982,109,598,616,303,493,735,197,338,
869,452,822,186,243,820,012,622,345,718,913,485,586,634,440,175,663,690,399,
639,033,677,834,074,033,868,785,767,023,928,687,325,561,788,827,637,308,833,
807,967,250,553,175,485,106,727,452,435,863,726,205,137,549,179,654,548,411,
320,065,402,247,623,082,490,538,983,387,657,531,886,379,073,516,148,320,227,
255,747,979,964,637,185,250,775,575,556,602,191,840,338,745,804,584,145,411,
983,450,740,718,907,834,715,206,791,463,350,131,405,792,225,082,667,040,964,
241,923,565,319,781,031,732,078,402,267,369,604,518,954,571,659,963,081,179,
362,677,010,407,410,138,207,737,834,688,387,964,188,879,340,800,743,574,801,
837,708,631,054,448,528,074,772,203,808,546,776,942,454,150,644,166,674,609,
994,736,445,700,207,335,192,273,128,500,962,598,083,218,335,584,492,230,997,
006,142,602,265,697,238,248,825,377,896,733,207,365,943,104,902,374,142,003,
320,966,687,459,221,959,029,005,832,240,644,362,862,225,433,459,984,012,868,
203,771,231,670,983,428,819,150,383,976,751,694,085,671,131,059,923,405,025,
672,724,003,541,380,771,126,041,704,172,049,670,945,472,321,513,078,832,993,
763,905,605,562,851,525,542,253,611,831,791,926,021,635,329,909,257,469,307,
268,368,183,678,384,195,131,580,179,153,746,043,902,935,356,141,298,146,987,
212,244,779,009,774,078,750,986,195,090,221,451,814,537,012,473,015,361,894,
396,949,561,384,945,936,412,749,970,015,520,693,874,612,064,992,905,967,327,
601,096,622,087,924,237,110,654,521,812,400,805,165,158,654,700,063,746,170,
021,608,374,274,023,146,912,529,474,769,927,000,674,690,141,950,830,841,399,
134,547,836,192,065,715,553,271,449,477,532,442,594,173,990,964,102,332,081,
251,825,941,981,586,243,906,687,259,561,142,233,283,207,692,061,805,847,181,
458,762,497,893,763,057,954,133,848,468,872,598,868,307,988,929,912,373,253,
660,963,378,866,058,008,031,135,013,210,733,948,269,904,782,472,658,201,715,
503,477,686,927,922,099,974,973,259,833,152,978,859,968,146,327,012,787,642,
178,839,966,254,772,899,503,295,989,496,325,190,223,050,048,619,468,262,282,
368,293,116,622,529,662,842,533,323,656,842,189,129,927,905,071,750,758,417,
258,749,648,417,943,745,126,820,639,479,490,915,135,229,028,037,618,483,739,
497,622,526,633,948,125,880,529,139,469,358,312,724,075,344,680,977,228,361,
915,479,276,203,127,844,142,319,148,600,811,734,822,855,083,693,007,296,581,
066,579,612,432,667,820,150,621,379,407,965,441,398,918,544,184,097,861,994,
291,218,549,573,563,822,190,481,113,582,814,339,030,842,697,582,471,107,213,
829,965,381,532,040,606,815,907,619,213,373,965,072,745,672,107,629,861,225,
987,064,093,966,487,868,772,779,343,900,035,129,404,345,008,754,264,326,894,
048,365,629,025,589,016,137,066,337,156,837,706,614,694,649,469,838,333,877,
641,188,528,209,376,054,958,829,049,276,701,230,699,136,962,651,082,327,662,
006,525,914,988,149,757,682,778,465,169,771,310,792,341,018,863,985,442,935,
468,030,139,782,314,550,117,443,026,582,754,881,353,062,195,468,499,322,506,
135,367,920,908,313,500,655,988,336,501,817,501,225,148,313,866,875,817,917,
521,524,848,328,040,075,225,392,742,412,546,226,738,654,960,336,765,564,297,
923,222,605,824,819,031,176,985,135,458,832,308,955,166,616,775,954,216,240,
830,359,367,949,157,988,400,544,211,081,636,755,139,241,898,296,941,951,743,
441,256,077,589,599,287,085,454,649,749,115,722,196,352,698,170,866,153,007,
720,394,983,364,994,792,718,890,331,633,738,500,942,834,703,841,216,645,657,
914,287,329,291,964,474,467,378,750,432,743,454,364,832,750,490,110,173,008,
058,636,582,228,271,373,513,422,566,253,388,461,083,493,279,049,086,919,617,
713,965,975,797,331,044,957,680,074,158,523,265,845,171,981,369,371,798,407,
453,176,220,257,791,244,444,371,770,882,620,305,903,619,110,016,575,178,785,
617,432,965,545,412,135,431,966,087,513,533,499,038,809,721,653,868,746,107,
234,156,612,545,511,829,575,857,503,015,946,485,034,982,995,611,016,663,828,
385,489,100,751,497,011,608,714,265,527,459,916,697,258,284,466,020,580,361,
313,324,304,487,734,568,523,553,186,821,660,866,665,229,367,532,206,814,593,
209,044,000,929,515,403,342,607,381,275,360,865,203,518,603,649,594,771,293,
027,369,248,074,982,415,060,490,710,651,473,899,978,509,693,238,987,267,424,
405,157,557,783,658,171,776,131,407,462,038,467,603,367,218,644,297,076,556,
442,942,668,005,441,554,195,877,137,285,380,554,306,042,407,943,091,003,619,
552,362,129,654,467,562,948,138,573,469,065,791,099,396,849,702,539,306,996,
184,167,089,825,056,840,934,024,873,219,257,666,687,355,778,065,212,795,983,
709,839,971,641,912,318,627,106,555,601,936,897,379,402,929,194,808,587,788,
819,619,632,994,415,962,171,665,835,434,186,043,500,092,543,111,135,585,111,
437,687,426,853,139,257,073,706,061,198,042,442,119,628,203,995,113,824,089,
145,573,692,797,992,866,405,028,880,824,228,076,474,084,192,605,478,594,919,
442,750,758,432,996,624,247,062,621,939,258,636,522,268,725,716,571,236,030,
746,091,750,140,110,994,825,485,315,131,341,515,547,597,507,114,761,121,062,
609,799,624,769,491,984,351,241,547,989,769,254,288,402,071,712,053,977,987,
174,386,435,774,132,401,109,698,258,245,927,055,238,190,886,906,720,677,884,
506,033,075,260,334,554,043,407,732,120,076,611,193,019,282,903,164,780,743,
736,223,303,972,453,179,414,501,154,002,384,069,268,485,433,577,918,717,176,
827,935,870,342,599,594,410,959,090,013,768,929,222,587,686,389,881,286,648,
421,020,668,822,527,532,168,304,550,500,479,160,811,689,642,724,438,036,392,
465,259,859,316,650,849,495,339,882,168,567,703,990,872,063,431,392,505,757,
823,744,642,828,244,784,733,998,015,032,528,345,750,615,674,803,029,895,404,
512,022,766,598,683,557,042,663,673,686,654,422,601,045,877,916,361,869,902,
776,972,555,310,818,555,368,323,276,106,396,699,904,240,788,310,041,137,799,
054,953,877,596,441,665,020,863,773,833,909,278,440,111,948,513,920,371,949,
327,687,788,433,770,333,298,234,227,609,415,973,321,212,533,667,885,350,051,
864,947,056,735,083,348,567,891,512,693,332,108,210,656,719,403,817,646,907,
306,551,438,749,497,675,802,635,366,283,764,839,811,508,782,242,881,055,646,
919,637,861,755,268,033,916,859,042,359,279,688,065,292,956,304,773,725,620,
347,816,994,421,590,429,226,829,483,673,238,755,196,865,445,234,861,823,943,
186,257,269,560,935,913,666,074,947,447,001,165,678,530,145,567,951,898,446,
204,853,103,900,973,328,864,048,627,211,814,447,355,412,148,397,010,967,281,
352,429,527,879,096,145,368,852,119,486,465,475,128,892,341,784,242,796,075,
223,479,799,990,924,913,384,373,899,044,002,206,433,658,269,491,683,954,657,
002,883,133,705,728,246,531,534,374,865,257,569,690,147,134,388,261,024,604,
914,323,246,371,341,529,299,931,871,715,486,906,561,477,649,273,684,538,518,
005,411,198,153,858,572,242,363,999,214,521,067,680,671,418,437,777,072,126,
665,025,607,197,728,762,679,860,928,593,845,317,854,714,881,619,258,360,006,
020,516,657,960,952,574,847,010,345,282,887,674,261,787,901,535,660,997,952,
643,406,867,881,253,077,579,600,019,231,546,887,632,178,352,574,352,535,179,
900,607,049,889,001,593,182,938,178,106,823,137,807,278,884,771,218,671,801,
529,981,566,831,872,615,491,957,681,639,606,255,790,225,616,719,209,525,475,
748,998,106,965,856,419,054,046,291,677,762,758,753,957,333,875,398,759,761,
627,163,473,357,048,752,610,393,623,147,007,955,694,333,544,579,730,536,192,
664,777,299,797,614,161,352,733,974,335,638,445,001,135,652,905,742,761,996,
546,189,495,900,425,782,813,812,028,009,640,044,160,970,423,707,304,513,266,
161,731,320,038,794,296,495,203,056,610,618,581,791,182,407,539,718,040,889,
711,786,902,036,053,102,338,604,542,603,536,134,571,486,526,577,564,975,532,
870,962,632,946,575,947,693,314,045,643,880,320,898,344,841,618,539,804,490,
556,181,939,073,408,999,812,672,766,635,211,438,951,047,531,852,759,421,040,
114,181,713,666,472,548,739,902,319,474,364,873,308,207,673,652,171,706,154,
217,491,983,671,083,169,562,515,250,898,340,907,779,860,875,460,748,779,947,
367,849,595,273,953,307,321,047,761,882,822,129,943,575,016,157,249,116,862,
921,565,580,804,373,825,095,882,028,516,542,888,299,622,381,001,990,910,286,
834,579,568,547,085,789,855,006,333,767,723,660,412,084,194,433,705,814,561,
042,608,587,973,935,651,632,721,698,954,294,815,657,335,426,109,636,802,813,
342,738,478,462,344,304,290,692,546,965,230,397,454,787,150,967,022,627,962,
418,094,426,409,086,033,293,812,291,676,638,013,324,801,448,336,113,176,376,
824,830,733,411,409,063,733,159,188,363,430,534,544,653,820,662,813,440,991,
832,099,601,804,505,351,081,022,501,017,684,064,679,181,367,267,883,556,798,
005,325,839,082,156,572,918,673,218,322,173,517,423,127,986,439,209,763,614,
158,660,255,226,912,093,457,328,582,787,653,018,813,319,428,233,329,480,670,
699,440,696,931,647,077,735,955,221,773,739,761,699,427,209,609,079,520,429,
832,650,272,152,012,093,642,875,083,017,369,324,008,709,403,567,011,883,852,
395,289,517,548,073,879,655,186,750,532,879,968,234,386,090,799,329,447,849,
690,563,736,296,212,722,408,317,758,786,452,804,456,430,553,312,868,134,753,
728,820,431,973,339,869,202,089,343,405,095,138,794,830,132,066,960,761,220,
287,143,537,645,267,062,074,690,879,857,866,906,028,507,060,006,886,025,926,
133,209,759,734,511,563,466,535,407,803,244,153,913,009,005,786,865,916,018,
430,491,263,188,278,416,809,679,397,348,170,796,781,701,243,122,644,724,290,
915,378,067,090,929,993,980,884,283,158,229,192,312,199,006,988,567,269,682,
501,838,759,201,655,281,448,695,437,596,944,849,873,686,030,292,809,377,729,
206,237,583,508,560,179,551,018,642,145,141,825,256,981,206,828,279,376,646,
133,920,062,917,721,784,200,931,035,005,969,782,258,823,424,352,332,826,062,
223,323,523,319,781,153,379,585,106,478,457,365,179,100,012,353,651,186,718,
009,999,554,628,741,189,659,306,331,487,901,536,310,321,447,072,262,950,167,
713,446,898,903,430,329,800,585,331,516,089,006,272,067,139,008,304,137,559,
055,593,537,189,543,122,777,836,341,200,089,334,904,777,167,429,765,365,676,
412,202,835,591,677,831,511,880,296,989,516,338,670,354,287,694,379,588,921,
189,331,403,593,965,444,635,992,073,495,143,539,976,420,355,948,813,877,790,
143,668,974,529,011,396,917,346,865,577,912,559,994,997,067,662,359,013,441,
686,981,961,389,062,074,749,430,989,471,985,916,638,457,099,396,692,432,956,
171,028,176,748,342,407,970,186,895,585,995,210,434,031,139,180,377,880,487,
335,856,737,781,648,082,926,299,381,346,453,458,691,841,257,892,676,976,996,
888,679,696,319,566,722,447,667,897,867,008,748,726,851,961,205,803,563,764,
312,285,180,997,436,274,298,541,678,336,111,538,624,500,335,090,871,788,384,
540,130,910,973,228,228,981,414,325,370,709,955,855,423,810,968,649,604,999,
699,998,361,301,991,415,460,383,615,126,829,468,752,948,650,121,310,551,146,
436,129,263,926,582,339,268,169,682,056,510,631,000,094,746,204,469,347,101,
346,566,693,018,883,841,949,734,928,964,242,167,579,350,817,770,221,272,875,
582,124,881,417,798,196,291,917,538,853,026,462,162,651,386,027,977,176,552,
584,534,516,300,395,276,655,038,121,833,902,212,429,197,805,174,938,661,946,
059,567,777,886,111,039,185,296,314,971,124,750,253,033,344,327,569,447,289,
829,385,322,771,253,694,218,607,736,595,398,027,650,660,214,831,534,231,342,
994,148,376,625,611,433,904,086,759,876,200,751,469,318,585,391,191,701,693,
938,142,429,868,340,645,372,481,926,437,579,907,383,592,618,634,660,647,637,
593,090,806,458,174,940,787,327,015,495,122,526,692,850,942,139,644,239,523,
316,023,805,617,251,258,780,421,093,861,354,609,625,298,145,726,658,266,870,
927,424,454,791,836,590,212,643,327,776,212,791,097,204,719,984,872,523,806,
439,774,716,976,562,108,267,715,617,520,800,860,871,624,520,693,999,531,362,
653,137,846,573,943,993,495,516,813,496,874,775,308,962,618,958,769,664,099,
441,687,000,106,540,771,305,474,877,866,908,614,056,668,761,533,687,385,222,
708,376,368,479,031,483,219,871,851,405,357,260,034,319,544,400,296,868,054,
451,131,847,797,535,228,228,798,979,418,675,858,660,038,461,564,237,174,275,
607,314,707,390,985,256,693,471,443,604,612,127,891,884,417,717,638,450,941,
934,330,596,134,065,575,838,969,169,139,313,639,486,634,900,339,372,240,051,
255,476,343,901,653,008,346,051,204,925,643,759,445,830,790,284,095,789,911,
550,103,910,022,670,490,845,529,668,525,933,815,475,987,985,786,263,419,230,
685,700,995,829,302,924,012,640,770,166,831,190,746,286,853,414,206,137,705,
598,179,338,569,779,004,136,048,009,180,251,607,448,688,617,365,753,145,044,
896,467,010,770,840,185,901,175,466,701,828,206,104,403,371,872,698,835,066,
870,766,403,957,069,907,866,092,232,438,202,250,303,199,385,092,356,177,943,
179,350,248,204,959,201,390,585,304,150,892,721,950,765,236,460,121,155,412,
557,052,179,665,741,960,486,256,014,138,162,964,671,492,912,385,070,377,110,
287,599,558,862,174,968,457,981,359,312,993,901,975,383,093,152,723,240,202,
976,341,710,665,127,093,077,194,008,347,085,129,900,208,913,593,912,457,442,
093,605,445,228,968,546,406,249,470,736,112,486,719,871,362,016,276,452,214,
166,974,456,586,061,921,731,373,496,959,902,914,092,553,146,961,218,659,555,
272,673,449,970,209,331,086,520,367,309,558,208,386,555,016,616,688,633,970,
312,037,114,298,027,592,849,127,120,943,792,436,354,927,542,908,027,183,186,
209,299,991,774,125,974,512,795,298,967,748,608,164,438,924,559,223,848,280,
270,102,998,560,504,230,955,219,380,774,229,931,013,211,710,583,141,414,916,
770,043,445,396,175,360,969,237,113,174,106,079,839,623,298,570,228,580,115,
481,860,441,459,843,916,978,318,084,428,427,058,663,227,106,777,828,741,442,
797,196,496,631,208,883,151,629,394,303,810,801,522,591,574,282,531,741,434,
196,467,478,752,497,846,953,765,741,602,868,246,200,732,121,940,268,907,601,
214,975,009,056,693,516,566,905,992,370,396,870,721,905,822,178,045,906,541,
792,701,405,045,832,253,578,445,798,131,609,118,454,558,868,400,426,255,294,
424,500,503,750,069,212,525,663,211,548,219,961,495,490,201,257,744,690,906,
534,240,034,103,598,602,618,154,306,630,077,462,504,749,132,438,319,115,117,
748,783,291,241,298,365,863,290,547,473,653,361,440,726,272,076,043,519,283,
270,158,603,891,656,220,743,643,381,251,386,887,508,673,545,034,339,978,279,
718,148,358,381,662,401,253,343,127,126,711,515,762,955,024,080,191,991,277,
062,565,290,228,564,646,498,990,047,949,205,515,016,087,437,106,455,499,034,
477,763,279,155,111,902,272,591,171,333,956,553,584,378,325,922,285,185,781,
595,808,979,367,445,512,078,071,176,082,265,679,721,570,936,922,421,616,853,
962,000,618,523,182,989,696,520,499,936,454,842,576,746,837,951,649,934,703,
012,780,497,317,585,534,943,804,007,842,726,026,949,054,097,588,284,573,700,
245,195,977,378,856,510,139,074,895,658,105,477,460,246,116,272,906,679,105,
048,837,415,861,679,290,636,509,421,530,433,438,326,670,308,725,111,663,854,
789,764,724,302,909,289,142,023,176,199,849,886,020,191,982,597,154,428,473,
466,020,867,385,791,437,738,301,269,395,073,519,744,785,289,245,674,442,126,
608,304,293,851,845,032,844,630,890,095,236,836,680,277,472,256,054,101,652,
228,470,265,068,286,701,074,837,194,062,461,754,378,982,751,049,045,525,727,
732,943,955,690,004,935,286,360,873,602,040,833,260,716,754,245,472,833,638,
218,093,873,385,027,549,374,874,333,726,475,668,923,614,060,075,764,316,545,
417,890,658,882,510,893,503,198,168,677,582,449,458,116,076,675,995,131,987,
016,124,581,780,731,942,414,612,236,335,381,811,073,609,896,451,591,670,362,
400,369,975,233,638,475,171,539,029,247,319,518,906,966,460,968,746,773,546,
634,211,484,308,655,027,831,502,697,919,117,575,690,421,182,360,487,173,126,
575,294,972,243,004,460,721,110,503,805,985,994,077,024,292,721,017,791,712,
838,705,063,040,971,600,938,568,503,457,018,899,164,298,358,713,983,392,241,
401,150,326,418,796,402,951,684,005,025,975,479,088,915,612,056,346,444,364,
187,685,115,852,745,032,770,400,929,601,919,836,601,431,909,948,259,189,834,
515,289,904,789,317,531,043,557,964,984,614,371,341,447,394,782,652,934,245,
381,304,750,578,261,890,380,912,019,029,854,505,278,987,024,670,177,593,408,
876,474,637,113,839,697,055,470,563,142,960,006,833,849,687,459,332,597,493,
256,349,804,812,698,648,536,806,841,073,598,657,545,579,005,141,994,541,099,
236,187,504,932,744,667,539,535,921,601,008,207,813,558,159,744,144,698,248,
692,682,536,477,049,760,596,981,635,829,310,609,798,602,311,810,452,344,467,
612,064,458,384,251,128,526,237,338,731,294,928,143,141,608,637,417,764,082,
730,510,773,043,813,736,881,207,018,272,829,453,036,956,376,653,810,489,397,
072,211,849,151,277,979,236,738,211,913,554,523,310,693,518,031,916,812,780,
335,168,188,605,032,929,208,701,169,819,655,179,617,624,767,200,564,651,040,
408,948,299,396,091,545,949,382,451,796,778,759,472,651,107,203,634,758,071,
677,692,133,754,022,430,916,233,939,376,698,063,520,949,951,366,268,311,713,
783,605,110,547,436,124,257,233,261,372,385,916,361,617,457,901,444,344,431,
437,633,591,634,668,442,875,874,938,691,397,261,673,117,696,191,473,495,324,
010,390,360,593,470,749,740,276,089,661,744,508,621,650,745,673,528,469,644,
897,917,439,382,828,423,209,955,216,746,339,727,633,526,247,634,615,597,524,
433,479,877,285,347,345,291,403,683,767,412,786,064,451,792,285,648,107,128,
061,261,150,308,106,023,540,334,846,066,876,251,554,289,449,588,781,419,160,
126,015,357,179,540,504,643,125,699,873,693,138,467,302,129,419,432,600,768,
060,298,024,822,485,125,715,104,899,261,556,747,312,818,514,796,658,038,501,
334,930,339,606,811,227,608,298,205,579,103,078,593,119,731,816,584,994,731,
094,474,556,322,360,550,793,214,951,269,564,575,984,569,095,752,922,621,220,
460,310,223,830,821,250,085,940,420,384,171,227,765,204,560,926,391,780,209,
173,362,628,881,736,036,187,415,064,771,417,047,466,413,774,425,686,634,761,
128,703,716,891,039,347,297,926,396,586,267,165,387,396,977,823,768,891,154,
460,804,305,884,711,145,718,453,365,199,726,963,213,949,252,231,420,482,565,
460,359,107,065,921,305,817,570,896,295,807,026,128,873,560,131,290,123,588,
788,061,107,149,424,575,397,203,419,470,479,336,702,720,351,749,335,233,117,
492,143,929,793,581,422,487,356,588,136,812,203,406,976,014,090,191,420,790,
931,650,212,947,699,529,325,093,237,421,626,289,070,037,539,609,597,405,071,
990,556,780,838,531,940,943,725,823,543,344,383,978,258,131,411,711,340,960,
146,853,684,951,805,538,294,295,152,882,190,623,798,063,311,592,120,934,476,
765,382,857,114,332,249,737,753,014,144,890,406,579,452,633,816,435,632,594,
484,173,164,543,421,505,350,698,178,702,063,223,640,217,254,274,467,672,718,
059,117,344,037,238,672,141,766,578,616,164,683,545,681,522,407,704,733,604,
583,168,608,176,199,725,265,037,326,469,347,671,395,712,776,030,542,763,804,
005,121,555,797,017,025,879,522,171,921,410,592,509,721,693,689,811,196,626,
631,463,872,288,858,654,946,171,409,319,493,055,810,732,852,611,413,540,794,
779,846,646,534,375,301,365,388,301,319,907,853,428,769,438,625,420,023,901,
261,545,429,824,457,283,344,254,742,117,955,559,486,338,392,321,202,624,353,
093,287,631,276,740,562,904,999,526,316,111,457,261,927,281,014,982,819,398,
406,124,435,981,323,445,478,214,419,446,936,095,069,076,880,504,231,869,490,
506,049,838,019,949,412,926,783,223,561,633,741,400,168,881,611,951,325,496,
110,006,000,783,776,116,939,699,954,297,346,892,077,906,121,073,698,245,286,
407,758,255,580,618,014,793,402,161,391,887,703,065,706,712,158,291,781,929,
732,196,823,685,963,736,867,012,842,406,443,561,214,425,566,635,139,109,404,
972,579,404,447,356,531,039,622,693,266,709,675,734,349,446,248,040,007,264,
692,106,601,747,676,674,210,285,608,379,743,046,620,156,800,769,862,254,381,
243,190,614,735,522,417,459,840,365,526,351,072,441,214,251,593,246,876,613,
132,347,387,243,589,041,757,637,679,157,411,604,886,696,636,807,060,017,111,
431,535,487,484,160,495,559,581,514,901,659,209,321,192,364,375,247,189,355,
337,881,762,917,479,705,248,381,044,889,782,602,004,175,216,385,052,709,740,
819,973,600,299,462,266,889,036,057,641,756,181,527,044,016,151,194,965,903,
923,688,571,091,153,962,717,335,999,196,862,117,503,192,702,211,115,679,338,
049,434,029,555,511,693,187,914,585,386,929,961,740,273,542,135,928,530,208,
014,078,118,336,455,086,331,465,946,163,421,101,244,547,519,071,973,537,736,
771,578,734,687,948,493,356,250,320,033,298,402,305,699,821,708,216,454,729,
872,045,448,598,763,169,790,367,353,702,354,378,106,241,185,357,262,760,480,
500,189,096,594,113,916,737,844,205,230,973,409,981,069,732,421,817,797,967,
943,536,726,731,435,848,157,824,756,785,313,190,070,682,358,119,733,848,131,
059,267,655,778,092,744,482,296,752,002,083,971,003,312,134,303,250,204,891,
089,831,877,915,044,245,853,041,347,835,171,539,678,716,418,754,121,819,480,
465,441,063,464,031,926,977,693,058,512,613,998,730,230,427,508,139,912,228,
295,597,994,689,433,915,194,813,814,496,287,960,828,091,125,522,409,768,541,
005,153,075,338,688,954,276,581,680,517,458,076,859,997,819,026,244,056,692,
482,492,051,414,435,669,197,756,540,745,755,189,042,433,915,101,728,535,966,
085,272,640,309,847,252,135,277,794,565,927,240,793,236,422,534,565,465,966,
744,450,911,058,421,358,546,336,252,481,764,353,458,079,852,958,948,639,279,
760,120,496,034,650,799,326,739,650,508,296,708,238,290,478,217,229,161,530,
579,405,709,987,878,565,286,239,322,902,230,024,284,898,110,092,418,972,585,
963,317,157,901,708,187,053,267,408,438,703,973,437,050,672,094,540,489,489,
165,880,329,022,380,101,628,825,025,957,731,689,241,998,030,262,595,032,477,
174,370,092,768,428,633,676,746,863,081,691,021,055,805,247,477,004,050,853,
290,356,751,627,097,198,482,256,905,491,276,041,372,341,943,942,130,409,660,
333,282,286,167,033,786,825,171,718,325,958,675,344,611,074,772,375,389,187,
769,568,608,563,622,730,533,064,348,777,360,210,998,883,244,755,360,131,292,
715,035,845,784,431,724,222,486,750,775,272,053,192,319,659,578,698,225,908,
928,737,323,172,708,379,724,692,275,462,537,460,256,716,276,995,202,724,226,
748,617,673,319,942,694,237,358,580,465,056,197,036,819,395,842,143,705,579,
802,778,874,052,289,709,861,557,980,189,092,085,113,568,144,724,590,755,570,
299,083,437,615,595,486,232,367,388,680,924,554,554,382,991,923,650,115,408,
793,178,092,724,519,647,389,392,611,848,933,865,085,914,075,729,707,662,691,
181,320,999,345,218,822,783,290,362,589,599,496,093,485,927,550,113,237,017,
065,022,347,752,986,375,122,456,317,988,830,306,630,160,100,381,313,573,409,
915,774,165,925,176,487,676,727,513,725,037,695,301,058,148,677,461,508,632,
451,979,049,303,743,385,686,917,492,856,955,566,649,399,332,942,323,158,746,
118,750,158,180,215,955,125,708,633,599,723,047,904,166,551,352,960,743,312,
325,858,452,678,149,870,634,215,943,334,796,248,324,383,088,638,754,622,073,
996,496,792,663,929,008,849,456,046,985,324,539,137,789,312,479,686,687,873,
106,460,078,579,599,579,190,093,554,606,729,202,560,275,605,538,302,660,878,
456,850,066,936,819,039,035,449,090,841,378,389,417,299,325,850,411,759,856,
037,273,246,394,979,469,364,473,278,767,689,373,617,972,459,497,130,078,154,
871,020,252,182,587,406,127,843,575,697,942,823,146,163,587,586,327,806,829,
164,725,867,150,419,948,976,846,511,083,018,676,549,554,529,389,894,668,404,
319,723,830,467,577,739,734,007,758,031,421,053,575,594,753,905,845,167,268,
873,756,435,818,132,800,137,356,431,596,125,276,142,719,991,341,888,305,767,
901,909,454,653,005,853,283,397,980,218,038,690,594,970,207,400,039,206,544,
122,121,614,276,541,489,376,948,945,515,003,227,789,403,255,929,689,011,777,
443,594,726,723,365,879,925,984,290,465,637,976,579,991,885,580,018,017,735,
237,926,528,688,289,204,213,649,140,070,688,290,810,495,482,073,664,276,826,
287,259,705,835,360,416,436,175,954,938,165,593,682,597,468,050,532,816,798,
193,444,086,721,559,800,063,849,273,094,344,427,657,067,388,736,219,293,206,
855,181,442,495,833,808,549,556,092,849,743,975,730,609,260,926,055,528,734,
036,494,483,235,519,882,179,912,771,523,440,364,893,521,342,007,346,799,848,
430,362,349,716,564,743,003,413,950,566,802,238,107,865,608,902,047,592,768,
099,309,443,311,403,765,488,816,310,482,345,369,859,949,934,127,987,479,864,
640,793,300,136,850,888,392,002,058,383,154,508,900,963,463,508,117,632,201,
327,217,309,596,399,673,539,230,301,895,869,120,935,762,931,837,651,246,539,
296,939,979,273,907,901,204,653,509,299,493,621,197,246,817,224,742,708,684,
882,884,517,981,947,773,747,503,441,682,994,172,770,645,944,316,212,505,463,
456,670,868,695,528,954,016,191,465,610,741,836,353,212,938,069,145,335,960,
473,171,512,257,152,620,483,743,997,280,122,783,241,330,113,833,774,920,677,
649,668,508,044,892,230,062,090,300,916,721,610,915,000,864,102,729,226,242,
681,734,582,254,719,764,860,771,717,416,706,614,673,319,825,951,727,072,842,
526,881,935,953,161,504,585,785,559,255,549,432,445,755,401,216,484,069,857,
606,500,395,932,030,671,232,409,688,843,043,353,510,183,443,919,921,033,998,
785,186,093,252,353,722,934,483,426,551,184,653,458,912,903,972,759,096,857,
913,482,442,747,496,985,744,888,195,966,216,430,117,604,445,116,815,165,386,
929,433,971,733,069,105,881,018,918,661,173,561,544,658,709,235,995,260,956,
010,766,218,737,300,651,778,004,276,331,615,114,851,632,916,385,312,875,955,
306,764,530,910,121,615,881,993,316,612,797,543,947,080,669,741,122,221,509,
557,024,528,130,276,838,203,939,426,441,143,954,057,903,489,384,116,189,671,
031,463,917,459,070,449,795,692,136,289,458,020,103,653,070,642,136,938,602,
720,065,323,215,906,084,874,282,767,157,419,094,168,283,684,897,441,805,415,
307,347,673,212,168,781,751,397,431,599,660,848,511,300,110,817,938,298,922,
569,522,596,015,695,671,707,756,599,052,361,123,374,965,921,764,896,478,156,
686,736,658,441,857,674,454,438,436,815,741,040,546,353,535,443,080,376,305,
610,209,465,345,495,192,339,143,120,900,561,802,082,659,182,318,936,018,846,
479,094,781,496,070,140,067,749,610,072,714,412,020,325,603,587,839,857,397,
629,096,831,858,439,643,142,413,039,756,618,592,392,558,679,224,912,895,056,
935,538,088,677,372,114,491,075,450,280,203,708,317,900,322,016,929,692,769,
949,592,755,586,933,246,714,954,349,027,895,369,862,700,063,414,936,272,700,
309,935,751,547,001,930,864,583,360,858,140,356,838,787,680,218,068,623,011,
308,862,825,149,470,584,681,919,534,674,336,323,988,870,391,400,376,466,362,
096,378,739,358,128,042,339,579,645,164,923,875,604,132,180,450,437,023,290,
876,291,592,521,523,390,936,205,240,428,464,712,085,914,444,671,677,541,669,
032,485,316,637,652,481,780,812,952,570,094,341,683,469,958,775,682,231,359,
750,399,073,830,974,303,856,245,505,134,285,134,152,870,426,322,239,313,638,
870,509,945,706,906,160,131,988,319,977,761,294,047,108,185,666,868,920,033,
132,487,636,553,119,082,256,152,674,203,138,526,843,194,906,476,989,318,921,
636,104,297,212,928,346,795,872,970,492,741,397,454,223,104,186,807,003,502,
723,941,352,507,033,751,917,232,117,260,110,766,300,293,961,394,965,407,760,
932,938,183,772,099,942,147,850,748,340,993,983,615,553,163,800,939,843,224,
956,251,990,888,824,926,060,115,793,363,678,291,914,330,137,767,935,265,925,
350,646,362,246,086,360,863,079,640,556,334,885,223,655,454,387,365,553,208,
825,213,437,334,647,573,262,322,793,610,036,760,343,519,617,100,879,618,195,
025,103,225,223,085,612,344,963,131,150,371,835,644,976,869,529,141,680,787,
132,122,038,362,086,956,587,631,907,271,903,776,239,181,817,929,562,704,013,
256,757,638,705,179,479,017,469,496,263,279,302,709,902,436,441,222,027,711,
771,789,956,247,308,644,998,012,181,789,365,416,925,448,784,362,648,056,843,
075,937,951,614,555,104,997,705,131,594,141,527,813,990,542,385,807,140,783,
733,833,686,577,668,103,013,016,778,934,334,304,272,078,246,424,649,995,798,
564,532,061,303,444,047,495,903,754,132,006,302,111,902,569,588,668,138,290,
664,582,734,622,738,975,133,408,031,831,644,145,918,061,546,269,862,126,292,
188,065,112,521,116,435,329,299,150,676,869,815,571,187,844,571,171,844,968,
782,292,908,131,364,538,990,757,096,838,630,971,655,261,461,552,581,631,695,
283,789,068,618,660,087,130,373,517,869,616,521,511,351,063,666,845,250,816,
938,942,795,872,878,537,786,835,927,104,600,274,652,618,307,179,289,285,066,
870,182,837,536,086,583,518,438,430,917,943,803,590,981,625,157,582,796,323,
409,534,988,290,781,505,208,552,332,708,250,109,197,891,483,656,485,213,908,
321,849,483,227,003,238,535,289,716,535,280,458,054,874,430,634,701,510,128,
129,313,385,463,305,907,314,049,283,738,952,481,074,068,374,582,773,500,061,
321,109,319,807,043,412,131,116,831,125,765,321,063,577,956,552,499,336,061,
170,999,968,289,998,063,025,808,950,988,724,868,653,411,086,042,037,439,984,
528,305,223,063,625,701,631,461,789,087,318,549,558,285,932,656,388,630,825,
601,719,608,608,600,923,793,918,621,682,918,694,142,938,077,104,301,323,853,
150,113,808,594,213,696,405,587,003,351,594,263,907,349,895,926,031,118,655,
084,612,943,664,657,696,344,431,381,062,959,191,051,690,747,092,439,141,041,
176,119,905,197,305,018,236,017,198,620,349,421,065,273,729,064,391,321,189,
192,148,352,728,820,331,250,408,022,655,903,407,192,948,333,479,778,771,377,
045,554,980,744,668,389,589,153,150,052,266,269,918,411,731,828,594,727,514,
714,103,663,202,905,574,707,824,014,669,373,775,233,680,295,983,373,286,387,
539,324,353,716,984,768,571,580,920,799,068,683,329,658,088,946,238,449,916,
382,511,285,029,387,134,574,891,717,535,781,110,389,627,644,608,525,257,827,
977,796,147,512,176,011,140,810,879,379,397,008,643,730,584,341,003,908,413,
772,457,555,240,677,975,116,304,702,736,228,439,953,701,809,559,926,395,995,
148,563,398,568,713,220,920,760,480,755,589,710,241,173,994,689,565,071,969,
563,821,871,120,477,369,915,983,536,652,488,059,047,106,735,511,259,394,715,
145,271,380,846,332,280,219,823,515,357,741,236,996,273,256,046,749,533,300,
308,155,731,847,172,344,528,414,319,921,512,170,024,923,250,649,252,652,242,
745,823,863,454,950,225,926,988,058,443,706,334,459,190,491,775,555,425,473,
792,399,736,507,870,722,004,008,945,648,552,817,568,499,468,034,544,880,255,
019,489,782,616,643,478,638,498,623,695,137,029,719,198,010,326,849,104,511,
416,508,219,780,561,602,186,067,993,491,600,578,865,810,563,692,355,020,953,
461,851,614,044,095,765,009,453,818,402,312,150,085,227,781,339,499,081,000,
549,673,386,822,011,401,969,055,363,625,903,001,638,207,385,950,259,489,486,
126,157,234,780,872,761,966,756,513,769,584,445,521,583,474,555,466,282,123,
319,944,873,195,544,943,373,043,214,733,761,593,240,394,706,252,458,500,492,
557,967,798,104,028,611,165,554,644,646,747,282,942,146,259,073,855,336,766,
693,362,022,888,274,623,203,311,619,440,724,823,271,015,939,188,810,521,898,
595,344,394,159,968,973,943,390,193,194,509,248,579,252,282,601,234,771,115,
882,856,572,861,832,097,744,667,021,046,285,360,175,714,357,044,226,723,020,
798,750,621,977,246,884,828,824,867,423,034,117,024,908,376,883,088,145,869,
088,114,989,680,010,663,447,205,381,827,961,543,283,207,186,746,607,081,309,
772,778,232,057,757,919,082,911,696,347,851,145,585,397,665,142,116,898,226,
180,205,655,837,390,374,879,371,726,990,693,000,402,511,890,648,866,015,603,
860,141,898,047,046,393,663,662,756,466,488,480,643,719,024,218,121,364,996,
464,869,154,171,422,305,692,233,698,107,829,232,724,038,932,972,418,463,732,
635,526,245,297,857,303,687,047,219,830,106,767,019,047,366,452,063,965,118,
112,307,807,307,464,334,786,513,010,138,069,558,783,287,137,373,511,875,501,
660,993,225,539,369,950,665,694,059,099,820,798,393,152,331,693,272,601,614,
224,419,729,570,269,424,393,205,806,023,541,150,439,645,709,727,709,680,945,
579,847,056,599,272,453,718,081,704,749,442,752,415,223,424,138,231,841,563,
717,902,895,045,779,129,780,842,239,518,405,167,747,293,213,777,012,582,489,
286,997,056,362,393,575,581,571,857,745,382,803,797,411,942,745,977,906,551,
420,542,548,149,700,933,842,471,932,227,289,598,612,164,525,578,086,863,204,
590,054,885,881,625,456,301,734,834,045,980,838,201,394,726,122,746,436,683,
264,735,272,500,917,983,745,854,848,698,240,759,372,715,117,867,111,650,344,
551,856,404,672,828,743,527,263,553,842,049,855,868,307,277,763,117,025,788,
254,035,909,297,295,072,785,606,553,238,054,612,720,990,000,044,064,221,364,
503,516,552,803,088,468,783,911,432,028,917,495,982,937,190,225,549,011,230,
819,537,164,263,944,352,481,455,121,147,620,028,204,418,439,152,041,500,075,
398,848,402,460,357,487,233,914,049,827,608,830,921,319,267,995,214,665,803,
734,330,174,620,646,771,502,150,878,857,181,047,040,609,200,949,259,232,018,
371,608,450,869,962,300,974,693,791,274,491,266,011,267,886,372,131,628,063,
244,308,372,782,881,911,502,620,485,209,545,031,968,486,651,923,414,534,625,
634,791,624,380,340,016,502,863,854,025,406,139,249,891,244,442,333,227,159,
011,892,050,441,767,841,604,304,839,085,610,988,588,278,236,471,745,553,515,
764,915,885,553,431,645,532,981,673,909,064,029,230,451,885,527,060,533,241,
542,753,558,934,052,118,809,598,429,284,600,550,530,323,194,606,624,523,273,
180,543,971,028,343,949,034,568,749,196,247,955,813,492,493,524,534,569,609,
020,751,545,210,891,602,867,922,374,777,742,362,372,365,327,552,749,426,561,
557,237,477,035,517,561,005,787,245,608,675,328,474,495,641,526,382,626,757,
299,905,081,733,605,402,089,560,564,904,402,452,457,043,510,804,521,316,982,
080,531,848,365,269,060,679,198,976,310,630,800,767,332,975,877,073,835,277,
974,850,257,626,450,455,788,301,750,337,364,112,392,857,551,543,637,943,872,
005,629,384,669,142,545,283,786,614,594,862,549,212,332,211,332,848,178,381,
468,341,184,825,486,004,329,704,152,941,489,958,179,931,813,117,346,688,635,
567,796,094,834,751,257,694,687,019,933,834,272,122,619,789,576,510,364,588,
095,243,527,813,047,286,676,736,029,723,768,699,733,471,943,014,886,238,903,
479,933,605,019,446,447,398,721,822,681,223,414,150,823,807,790,309,194,170,
979,063,591,986,601,671,746,588,107,948,766,807,787,098,051,841,882,001,690,
827,277,061,340,680,406,795,061,407,008,894,777,587,401,960,565,724,855,777,
446,742,141,621,395,065,396,048,321,940,753,005,424,111,215,740,279,721,446,
940,683,013,057,099,463,884,954,634,966,655,227,457,689,365,262,324,728,075,
945,254,836,046,171,579,894,450,898,169,711,766,143,801,806,812,921,034,466,
737,292,107,383,608,929,663,944,493,066,907,247,785,217,857,585,864,474,252,
825,638,884,336,352,107,697,977,457,083,741,204,412,320,205,529,770,182,408,
974,571,464,998,949,588,405,791,942,188,504,730,320,379,571,189,516,075,337,
069,259,386,187,228,997,198,744,337,847,500,883,214,013,099,641,510,972,667,
760,530,669,006,385,632,645,490,196,116,264,786,158,295,883,020,726,041,391,
997,682,034,501,827,518,382,782,902,836,757,559,270,251,468,970,615,703,588,
984,499,607,663,930,280,788,690,086,219,987,787,473,961,899,098,990,654,656,
470,256,907,033,521,308,979,715,316,951,950,713,122,612,737,415,687,054,504,
947,277,018,749,064,390,636,997,389,686,882,947,640,566,812,517,944,364,256,
022,126,083,912,929,537,135,538,225,164,416,429,690,871,423,252,875,958,179,
814,274,899,286,633,311,630,421,545,599,346,743,032,451,651,257,110,795,969,
430,187,233,577,686,435,934,251,937,884,703,673,073,551,579,796,225,581,501,
809,914,633,861,969,600,201,634,491,212,435,773,142,343,726,931,788,580,716,
560,692,874,077,650,717,445,413,083,082,590,704,331,762,147,086,306,087,068,
058,549,880,802,892,226,478,536,951,257,910,915,937,872,688,602,113,640,680,
456,293,872,124,758,329,060,895,445,826,310,996,157,126,642,968,400,950,408,
795,568,140,509,268,907,767,946,841,105,812,951,683,200,344,650,035,103,397,
202,125,639,569,896,498,076,174,131,449,553,776,950,180,793,803,931,109,317,
728,753,324,704,862,109,226,647,531,127,045,782,911,258,844,850,740,024,029,
536,060,146,973,379,561,811,749,847,779,562,924,842,502,485,442,521,872,734,
448,577,648,002,374,938,700,648,995,034,876,531,398,181,692,080,579,949,773,
482,871,183,724,736,442,755,951,035,910,417,297,257,607,900,204,636,339,865,
809,672,393,016,041,867,596,027,040,425,919,626,418,398,748,078,374,365,169,
162,353,985,922,602,266,378,777,791,488,200,297,286,798,137,164,219,241,020,
216,554,294,165,092,837,024,730,512,772,922,988,399,787,313,253,961,864,123,
948,292,256,436,544,473,258,126,257,948,621,617,185,485,371,628,072,625,249,
465,722,831,092,736,184,063,213,437,372,528,227,882,667,614,118,680,027,887,
161,195,144,234,948,297,794,432,561,273,765,410,865,157,936,583,256,151,754,
452,095,461,225,173,216,584,302,628,517,531,622,159,615,126,074,921,828,143,
666,157,749,344,672,889,931,767,933,145,164,283,063,671,936,810,832,782,921,
054,425,831,239,245,999,112,102,490,245,154,006,328,175,124,606,938,622,416,
458,825,286,985,139,315,834,719,019,386,865,087,774,796,244,703,885,128,840,
936,463,090,346,908,533,552,656,720,260,450,267,722,660,882,522,169,953,517,
222,271,529,722,469,939,652,852,796,037,258,787,583,622,957,791,915,005,604,
332,508,596,040,897,915,839,445,492,229,648,783,356,619,516,874,587,513,830,
860,408,536,095,494,219,998,462,806,158,245,482,977,034,737,275,888,207,955,
893,485,347,535,865,043,479,726,195,291,767,663,728,360,375,843,758,177,490,
025,090,526,577,165,906,991,023,390,535,092,043,111,518,941,021,809,203,252,
594,373,267,012,426,406,005,783,547,710,711,272,539,629,377,305,081,288,368,
298,757,119,743,891,718,131,492,701,738,295,442,751,060,647,280,467,202,854,
784,186,805,958,834,151,071,613,518,849,210,453,549,307,158,223,887,021,567,
540,589,000,985,311,606,623,264,372,747,766,751,066,484,269,441,512,168,636,
236,127,700,769,583,804,655,171,826,007,623,887,991,898,511,018,207,525,429,
759,698,710,341,738,836,341,208,343,204,096,402,464,196,552,708,676,320,396,
534,798,248,770,890,631,785,803,947,000,878,690,810,007,464,719,932,077,849,
307,914,450,811,687,855,473,059,454,860,235,837,020,524,649,573,387,098,696,
614,073,080,814,007,322,319,792,760,588,621,976,573,381,385,710,840,229,396,
678,942,672,391,584,403,573,911,442,870,850,076,458,914,479,267,714,077,206,
195,269,972,201,958,296,202,110,770,106,088,194,429,319,933,745,167,408,772,
725,161,662,639,998,523,055,023,052,892,307,306,157,787,000,929,893,819,645,
549,910,464,266,856,085,007,654,776,161,661,439,507,697,138,494,914,531,797,
537,710,022,238,364,608,766,211,875,586,793,123,693,645,152,631,778,767,070,
743,661,195,370,427,074,995,378,299,988,182,923,632,025,583,096,398,027,086,
108,725,817,803,441,516,456,518,746,104,328,224,843,047,611,156,819,624,200,
870,485,333,321,681,227,183,356,492,434,858,596,873,813,884,546,790,194,965,
497,848,707,919,065,702,874,582,615,519,884,101,607,834,579,346,567,316,235,
991,184,110,425,032,804,630,985,579,312,877,879,255,203,274,277,048,620,134,
258,905,609,430,219,323,612,088,978,995,005,592,533,092,306,770,202,788,500,
662,960,560,307,800,288,301,933,979,136,428,519,927,722,472,498,888,037,808,
325,073,914,849,078,274,927,892,381,799,043,942,014,006,118,632,531,130,695,
244,682,209,745,767,752,151,112,517,402,112,458,061,192,634,482,400,104,457,
581,581,083,245,002,397,243,126,179,836,908,648,220,726,717,236,406,458,554,
670,115,609,430,836,779,243,846,377,660,534,950,102,806,342,908,928,858,119,
631,720,412,235,791,331,172,738,639,369,910,638,342,997,744,602,947,913,398,
608,489,462,563,319,544,575,022,444,293,590,895,545,319,308,047,999,691,331,
295,472,595,352,897,591,732,269,749,481,013,637,234,297,772,815,322,865,077,
787,721,961,305,000,688,337,937,944,359,204,987,229,609,921,962,748,768,714,
585,950,258,512,152,277,937,506,713,215,498,834,104,543,451,012,220,433,045,
829,819,574,423,293,337,793,680,023,866,428,994,847,604,656,571,995,365,039,
441,179,595,648,972,724,499,929,467,635,840,383,634,769,007,337,815,930,032,
265,363,772,788,991,140,424,180,631,612,577,609,939,912,191,094,497,852,036,
952,762,664,455,217,206,835,768,382,316,639,551,362,573,256,365,995,968,145,
602,492,314,062,577,266,969,230,733,926,775,333,915,608,106,377,340,063,692,
704,148,929,054,377,482,422,050,995,894,804,495,913,965,587,963,210,141,268,
266,252,254,287,576,100,333,146,506,525,170,972,246,322,724,284,408,847,488,
801,541,614,783,172,978,886,501,330,307,794,052,125,853,089,216,043,485,594,
371,184,598,098,111,237,243,751,093,197,579,959,920,126,412,791,082,449,513,
057,336,754,952,733,689,832,449,859,312,668,252,382,696,285,354,042,632,106,
713,972,637,200,073,975,173,617,308,105,209,838,782,088,237,554,503,436,012,
394,972,303,272,822,983,793,216,561,117,536,720,046,879,967,309,120,621,851,
849,208,279,443,848,087,335,351,787,207,945,815,586,957,534,002,171,343,849,
482,260,448,607,539,947,463,608,974,842,578,378,350,506,177,003,119,309,948,
315,066,193,156,478,209,111,337,502,670,060,923,336,089,867,513,297,010,205,
760,423,984,546,088,611,603,924,999,841,914,647,738,876,802,658,541,776,293,
153,269,833,900,217,203,364,930,365,644,404,472,517,577,083,883,171,106,493,
280,768,064,367,398,153,724,338,937,971,056,246,833,252,392,779,164,466,421,
234,562,990,263,076,021,337,424,293,860,959,780,670,612,397,105,846,032,624,
494,897,051,342,054,746,063,324,941,270,774,811,086,934,874,486,386,872,901,
600,343,045,551,659,170,402,555,477,698,056,467,324,428,698,386,715,893,375,
923,100,839,989,519,593,380,475,285,935,583,291,812,446,991,586,652,483,045,
985,884,450,398,481,809,997,495,083,574,610,662,727,589,738,114,144,385,390,
237,037,003,356,480,706,050,790,553,110,805,737,190,335,174,708,197,528,758,
236,454,968,750,498,029,827,209,310,153,266,202,904,605,631,488,007,213,532,
220,632,328,325,812,509,267,548,944,305,056,597,361,596,772,085,824,157,353,
254,072,416,529,813,987,320,630,001,077,157,506,742,012,231,859,788,220,592,
210,056,337,990,607,796,638,307,657,681,915,998,029,453,265,165,944,684,511,
798,964,141,532,034,754,929,827,120,524,433,193,990,063,842,673,976,019,644,
942,466,195,464,534,417,706,299,692,988,436,921,247,026,853,161,377,621,030,
319,369,492,427,100,848,317,565,399,338,975,662,668,410,027,869,435,176,543,
168,503,000,033,725,718,270,353,606,498,024,120,274,301,053,473,494,620,640,
400,717,416,728,643,914,425,187,151,006,156,510,395,434,015,833,981,473,707,
331,829,955,451,606,161,332,781,490,998,753,645,342,835,575,288,847,632,756,
867,507,351,064,550,101,434,658,324,792,731,136,258,189,522,709,096,666,714,
788,187,550,590,154,466,494,223,293,852,078,694,994,418,963,322,005,495,672,
287,532,781,570,337,273,976,478,212,586,883,497,474,213,171,374,951,353,494,
031,088,557,433,310,290,452,584,125,170,925,936,339,948,538,057,986,563,987,
509,622,609,751,151,500,016,226,527,359,824,176,118,256,175,436,311,778,631,
742,526,948,872,425,538,048,236,024,930,941,621,215,501,389,771,576,849,089,
554,711,346,744,519,464,002,167,765,404,851,978,538,359,917,161,276,221,548,
640,341,182,584,149,297,536,364,771,203,467,201,690,128,087,138,588,686,713,
756,793,447,229,038,012,830,417,257,662,408,881,205,093,678,646,651,501,040,
533,394,225,938,784,466,302,382,684,916,101,916,884,495,673,249,169,208,575,
643,024,498,211,420,547,043,027,453,933,293,498,229,143,433,950,511,494,497,
307,092,970,306,245,567,695,398,309,488,318,344,268,862,239,764,783,964,208,
233,392,399,847,029,662,805,803,462,069,279,207,537,236,425,864,168,070,196,
664,962,186,938,731,001,093,075,902,580,641,008,348,666,858,176,216,734,693,
316,898,444,374,027,062,196,908,966,531,697,296,692,942,877,286,143,163,465,
702,254,745,352,762,280,105,654,369,038,409,770,429,725,089,640,478,640,906,
516,892,471,469,709,095,025,126,691,274,123,506,034,267,113,729,375,310,765,
870,485,403,511,851,421,546,834,846,283,637,338,860,621,878,134,581,822,490,
900,132,756,419,241,375,855,545,124,333,583,457,222,790,189,636,319,602,339,
255,258,588,366,869,521,706,592,519,423,750,026,266,826,107,602,483,105,789,
270,110,726,585,222,921,139,848,706,885,729,828,636,067,138,367,884,841,442,
161,388,926,489,961,669,260,659,541,676,490,105,140,528,384,578,164,212,643,
630,987,575,004,409,963,277,758,888,298,853,886,211,513,073,727,550,255,305,
807,380,638,367,164,651,530,678,827,119,188,328,859,919,870,119,131,841,663,
490,987,606,298,335,736,938,916,420,860,706,129,186,281,006,801,458,193,590,
934,866,379,641,271,640,552,545,361,658,986,765,095,566,191,622,209,807,628,
447,141,689,142,914,161,865,101,595,610,886,127,929,241,698,271,155,259,001,
533,692,787,413,810,980,382,455,751,698,885,736,331,449,032,001,635,497,869,
690,117,367,958,146,679,121,970,634,774,452,663,871,711,515,792,513,620,557,
209,570,150,952,287,978,801,467,268,698,425,582,664,071,807,344,788,097,140,
141,514,649,563,307,734,388,870,928,811,776,515,653,670,960,520,076,229,496,
306,705,510,703,257,615,521,143,751,381,374,799,412,878,132,658,717,796,835,
013,216,867,162,092,424,424,830,469,123,961,283,676,294,744,959,801,488,922,
416,333,078,286,630,672,388,816,835,152,240,130,866,487,279,916,360,130,182,
834,092,639,520,880,945,602,516,046,037,695,745,188,468,696,265,063,742,842,
502,941,604,547,402,188,760,287,122,994,543,358,103,777,638,044,878,345,777,
121,443,013,065,990,424,445,767,657,025,763,425,137,546,738,988,550,046,109,
727,868,370,441,520,869,989,147,174,850,454,094,176,483,033,925,832,000,748,
306,795,463,724,972,779,416,976,667,327,791,811,091,140,039,255,118,441,211,
418,433,385,478,177,978,505,215,800,611,800,922,130,665,272,794,248,066,760,
486,390,371,192,771,150,743,393,036,977,208,987,143,255,328,235,162,805,732,
428,797,455,549,455,052,645,406,963,818,050,860,591,462,602,533,097,027,349,
703,785,160,444,964,202,128,601,723,617,369,500,293,169,233,836,672,010,722,
787,182,292,469,069,039,229,472,830,206,460,501,132,678,054,712,779,908,187,
374,981,233,268,394,714,320,742,737,289,326,077,105,118,313,181,727,140,551,
549,328,083,892,345,189,802,554,494,438,635,137,021,274,361,560,934,048,653,
142,879,430,036,518,347,219,014,789,460,895,352,881,336,481,362,416,543,677,
573,168,600,366,327,267,702,754,189,414,850,908,104,751,443,694,396,938,009,
466,012,632,129,081,344,786,016,789,875,046,930,720,075,843,589,642,335,081,
296,777,625,136,429,659,713,083,585,301,274,223,679,863,715,295,099,431,253,
900,001,204,830,132,705,933,149,911,868,788,551,041,331,724,220,339,541,562,
383,387,228,822,063,408,275,064,675,146,396,284,428,410,321,869,212,707,348,
127,567,278,814,701,024,091,022,648,675,866,443,120,869,413,883,902,669,471,
296,653,161,074,077,223,353,182,152,802,780,725,806,544,256,595,005,210,363,
526,285,144,184,170,511,635,223,819,708,619,477,278,495,045,191,823,846,745,
450,325,529,900,136,251,694,881,652,432,826,908,793,871,767,675,439,336,366,
990,540,701,055,597,003,561,632,796,248,499,015,050,275,472,805,551,469,153,
533,228,407,092,366,066,436,816,951,680,461,979,066,887,046,614,878,240,009,
693,531,896,567,373,186,881,213,138,409,598,527,518,806,933,569,707,362,512,
309,288,902,012,410,058,188,975,183,335,464,064,826,747,270,647,530,333,981,
296,258,783,192,755,231,187,835,821,247,882,139,892,715,292,200,899,574,788,
570,052,369,931,649,090,441,876,909,115,022,381,968,529,678,437,632,850,925,
108,018,447,677,926,314,019,535,005,211,001,920,527,290,879,671,059,510,007,
295,213,244,606,618,740,131,235,179,207,906,799,724,027,648,147,320,297,911,
996,894,605,441,252,260,022,458,954,171,481,402,625,326,373,513,957,147,553,
750,636,587,788,400,195,352,489,960,069,544,845,095,921,612,677,710,685,009,
056,839,562,470,275,492,714,908,804,423,614,492,487,753,879,719,987,980,154,
600,601,349,616,762,860,524,265,047,776,378,082,817,499,504,700,928,494,762,
508,299,718,329,804,704,048,188,833,298,447,667,552,397,175,018,073,381,102,
074,231,204,635,200,765,488,994,671,547,303,257,461,710,185,816,427,199,736,
369,674,322,622,303,721,990,735,287,387,357,308,266,309,805,536,494,862,099,
360,696,095,605,979,919,771,936,575,088,955,117,404,243,776,498,662,349,466,
922,441,344,395,336,328,826,347,298,894,498,398,628,140,981,842,277,473,915,
262,392,138,334,700,506,982,865,849,325,946,553,429,215,838,135,262,098,719,
479,314,229,759,770,211,773,268,438,033,278,965,632,271,224,345,768,741,519,
130,863,492,909,743,194,933,577,158,994,538,908,568,934,051,372,935,781,281,
918,099,995,740,005,392,612,475,227,662,640,669,807,227,064,984,586,757,530,
474,192,258,332,549,994,525,870,092,291,735,489,516,193,030,943,165,062,973,
854,106,531,755,386,579,405,242,155,663,759,527,837,410,050,172,562,297,821,
412,165,913,842,674,140,671,697,441,555,782,679,697,450,190,434,612,541,302,
175,148,057,804,674,259,597,165,149,638,242,020,688,176,626,685,506,482,560,
217,630,612,385,730,087,597,820,686,575,440,405,728,661,345,462,230,879,751,
938,395,048,644,080,737,685,468,283,817,815,426,064,584,406,754,741,970,489,
588,701,829,896,518,400,760,898,505,462,144,080,777,021,511,047,919,358,812,
573,531,427,232,662,174,563,430,669,916,463,438,840,644,919,243,296,882,767,
107,232,643,354,424,684,537,265,611,527,217,584,095,752,531,466,689,633,828,
900,660,254,023,737,607,458,213,903,433,658,323,403,946,695,728,632,925,420,
845,031,811,521,761,121,487,281,420,935,759,399,023,820,724,937,128,772,411,
889,290,455,548,085,614,419,364,818,897,308,439,355,803,862,647,726,917,303,
334,826,714,895,774,080,295,753,168,111,413,187,382,032,634,881,697,039,601,
523,749,610,876,753,112,414,108,365,684,789,477,665,949,731,674,625,090,061,
652,727,983,541,255,292,132,112,136,215,799,720,282,526,491,480,733,904,548,
724,070,586,790,677,048,453,354,763,448,523,725,128,058,807,212,029,947,871,
124,387,994,300,657,483,791,573,331,582,064,565,289,641,953,482,432,518,714,
754,360,222,478,531,221,163,789,229,545,121,467,438,121,614,529,467,608,425,
332,940,683,929,837,769,581,556,315,391,916,334,274,070,643,988,389,457,828,
491,871,870,926,835,692,963,389,161,657,360,281,231,661,554,698,134,404,372,
979,550,774,659,444,367,502,334,402,509,908,930,118,217,978,751,711,340,295,
717,722,023,677,355,935,784,091,567,394,632,504,409,562,128,192,780,602,855,
033,730,471,618,233,396,838,589,123,020,817,947,326,063,630,964,833,892,391,
112,411,706,491,253,603,320,322,730,537,642,522,610,292,822,064,478,247,614,
688,037,885,893,334,812,267,044,858,225,259,347,174,701,663,549,593,084,088,
753,998,770,021,294,963,697,181,295,755,104,187,231,724,594,752,369,321,268,
800,983,986,342,391,684,033,469,714,467,503,857,652,945,037,877,336,876,769,
478,012,164,859,962,848,772,770,625,398,220,266,126,245,412,281,573,475,210,
897,457,839,243,880,145,344,630,953,304,852,064,249,462,535,071,163,174,389,
292,450,486,553,487,294,397,594,241,054,359,019,071,987,767,487,225,945,869,
361,579,062,600,115,263,837,805,121,859,074,290,919,955,255,331,351,383,538,
929,474,997,520,967,108,173,943,843,324,059,906,715,878,705,591,633,325,095,
322,767,408,202,962,310,536,009,672,491,756,474,113,651,054,004,015,016,178,
084,126,523,660,645,365,989,167,440,589,746,209,216,106,498,408,951,432,015,
720,232,050,563,045,341,914,120,510,471,365,590,207,170,489,376,103,296,790,
988,281,674,171,162,067,139,040,137,549,093,962,123,606,168,902,333,435,054,
225,267,574,858,394,977,419,927,368,418,145,437,779,486,815,061,958,929,086,
713,474,176,560,332,287,270,826,282,637,893,915,101,673,248,396,774,042,969,
568,102,334,095,174,114,932,539,374,166,369,358,582,221,094,861,333,997,256,
586,988,748,063,559,588,299,668,023,502,802,001,254,560,136,189,719,726,410,
398,934,847,049,052,819,336,029,140,215,115,777,383,507,837,059,620,913,533,
276,364,217,867,412,286,692,355,049,453,801,739,884,541,573,180,752,020,443,
719,472,430,873,459,396,870,519,550,379,793,688,250,404,158,452,702,334,307,
605,814,082,810,811,564,094,617,698,215,831,565,128,769,812,868,075,761,625,
002,175,147,574,880,068,322,060,562,293,488,408,928,098,865,612,973,328,749,
645,968,009,303,884,120,110,220,427,528,530,724,447,572,418,980,203,165,591,
258,589,915,350,424,800,098,193,021,063,958,633,335,214,090,698,322,646,862,
552,049,567,313,147,404,345,240,525,031,185,148,914,220,049,692,484,452,637,
956,482,538,975,918,234,629,125,177,416,053,643,162,326,093,588,799,024,824,
708,508,927,015,017,433,614,925,072,873,318,504,074,471,992,913,326,912,418,
693,597,016,411,602,965,384,000,627,836,214,415,210,832,850,527,019,396,396,
379,543,562,266,644,365,483,160,885,398,959,501,267,875,694,243,399,447,529,
996,693,278,517,677,542,666,451,070,567,857,015,892,461,755,642,698,561,602,
443,696,876,569,032,227,604,461,256,823,219,944,295,359,854,041,666,429,018,
195,046,850,514,508,264,889,892,899,861,711,326,271,778,151,103,049,593,268,
577,183,692,260,024,574,774,538,020,411,753,190,016,262,444,972,144,867,089,
766,176,903,556,084,444,847,144,787,793,912,536,945,413,114,933,840,726,432,
555,658,683,876,080,842,174,061,740,380,929,953,780,520,426,478,228,688,207,
812,826,010,821,841,089,327,324,739,332,966,097,865,595,776,698,670,521,005,
902,899,245,650,733,684,296,008,039,308,360,514,696,341,650,436,543,343,060,
045,930,855,770,391,416,541,888,538,262,140,396,676,365,425,662,621,496,762,
639,108,929,412,048,682,908,924,940,019,485,148,982,875,609,532,663,489,005,
184,660,366,102,852,481,656,129,672,512,733,450,995,281,105,766,962,109,109,
806,608,321,162,119,711,381,257,383,123,718,221,885,760,782,922,474,356,800,
888,186,561,442,903,045,429,413,246,541,913,916,085,618,142,286,324,634,324,
904,526,225,653,549,808,108,659,796,812,201,098,768,387,272,117,339,525,492,
796,961,798,792,880,998,337,377,241,177,335,072,174,110,880,521,919,717,434,
866,728,620,206,168,035,080,630,142,503,114,039,359,714,991,880,129,082,292,
067,753,564,553,645,877,518,148,483,422,269,542,595,552,034,399,403,845,346,
749,926,604,630,087,421,533,352,933,218,053,332,922,220,876,834,316,539,711,
601,593,352,897,110,778,370,056,492,856,195,179,435,093,275,799,647,196,153,
598,533,361,136,550,220,553,971,056,663,984,631,060,988,960,678,256,352,233,
851,615,270,185,779,914,651,754,827,249,783,039,652,900,173,079,619,014,824,
123,421,051,649,694,848,070,199,892,591,423,375,613,297,588,474,205,056,044,
572,551,323,563,094,033,423,793,154,551,307,546,544,622,582,276,844,003,703,
252,790,717,367,789,991,371,844,091,187,277,407,796,574,769,876,056,072,426,
243,551,209,982,240,413,145,872,108,022,944,031,969,001,218,691,462,028,513,
303,886,436,951,398,339,907,612,305,952,292,068,627,917,297,121,163,140,789,
134,788,547,328,794,183,887,639,701,274,941,611,045,023,848,536,926,128,047,
536,664,193,081,567,181,473,321,184,213,876,592,505,638,357,014,563,848,641,
976,709,544,767,196,653,155,984,830,529,032,458,879,545,816,450,700,161,250,
595,689,676,283,645,478,170,431,424,597,741,461,624,648,990,451,621,994,458,
071,860,525,379,345,896,991,369,072,714,473,382,692,456,860,631,707,307,900,
583,010,117,049,266,975,350,492,286,785,094,006,391,498,281,586,516,690,812,
373,366,204,382,112,158,887,824,029,136,835,787,262,883,309,571,492,589,825,
557,638,346,328,799,252,501,967,887,494,939,039,897,368,205,845,685,147,655,
159,174,212,249,890,193,378,592,409,929,298,200,529,809,503,644,344,186,839,
985,315,016,590,830,913,663,529,884,687,402,450,691,133,591,649,413,051,478,
204,738,622,215,563,901,763,663,470,148,040,673,452,476,790,050,854,946,985,
566,027,658,946,441,300,654,859,544,491,720,459,726,327,326,123,599,475,621,
302,177,240,453,374,394,026,240,773,193,353,521,131,316,115,038,118,139,660,
474,963,933,899,646,326,127,613,805,947,928,687,287,950,525,847,443,362,634,
412,252,892,422,966,816,535,156,864,619,461,795,244,437,596,947,304,197,799,
942,070,867,104,845,580,263,557,154,115,033,995,878,236,677,149,325,449,622,
668,866,512,248,215,566,271,614,608,463,349,313,614,890,688,865,929,496,866,
005,012,815,972,606,305,524,117,660,129,989,645,484,906,855,751,994,586,952,
654,115,513,971,915,354,121,918,673,983,826,811,400,350,664,244,694,090,939,
843,974,767,481,711,729,550,949,074,176,964,832,875,206,404,895,914,440,656,
179,503,207,362,447,686,758,892,576,236,840,885,362,620,133,182,481,978,047,
086,464,985,509,507,048,934,768,056,345,082,822,654,003,200,686,169,676,749,
628,846,784,164,899,172,534,542,054,381,996,686,986,522,667,728,968,469,228,
138,265,991,724,902,459,145,263,317,927,498,475,597,768,893,193,319,685,215,
570,789,738,035,813,824,373,213,802,424,542,082,993,527,049,696,768,398,247,
351,985,668,596,577,397,064,493,346,378,713,703,505,676,420,576,675,511,240,
403,587,179,668,779,761,893,815,992,033,526,002,561,887,641,375,459,670,752,
378,109,990,145,165,405,008,248,187,018,688,482,753,347,086,773,217,102,974,
415,801,840,654,726,389,012,169,275,803,740,363,639,768,400,942,623,111,874,
594,374,567,896,009,562,310,420,971,832,594,129,819,567,257,647,419,392,083,
853,157,103,673,509,749,063,015,151,606,187,093,991,489,625,437,394,720,725,
853,532,762,630,480,964,106,196,190,152,075,521,534,650,276,772,063,297,662,
739,600,629,570,178,494,023,047,222,942,293,694,985,689,908,764,430,154,459,
385,314,410,234,531,571,593,388,076,909,847,803,648,524,678,235,752,516,923,
760,842,981,590,156,764,331,890,824,891,045,933,257,482,912,176,371,366,395,
224,431,708,980,996,524,979,690,713,431,033,097,454,089,932,908,984,755,866,
579,074,867,529,680,138,141,560,452,782,875,218,561,638,466,084,847,682,997,
082,135,331,653,973,590,418,256,208,515,427,637,319,151,033,748,733,290,491,
484,039,804,612,542,342,154,724,671,272,525,467,873,790,523,096,153,260,952,
299,404,180,527,098,016,241,015,700,299,193,246,735,775,664,941,416,137,879,
492,503,085,452,032,546,104,103,507,580,887,711,796,178,303,556,744,070,578,
866,845,083,526,305,016,356,193,316,374,815,993,306,572,014,691,284,453,501,
909,936,719,472,299,638,570,276,076,953,525,996,213,726,677,554,023,046,805,
787,093,092,844,045,239,837,185,881,541,228,539,112,531,981,938,412,331,741,
612,113,275,200,423,969,888,987,193,842,044,926,541,362,289,330,824,481,798,
843,445,082,272,404,506,546,703,709,978,614,331,308,679,161,198,870,889,527,
002,558,617,966,882,918,217,500,730,979,460,247,644,502,742,018,801,712,420,
641,907,576,415,663,992,574,632,539,790,061,558,945,587,988,441,565,274,831,
792,635,819,609,690,771,367,746,465,918,526,298,582,692,688,853,224,701,393,
424,013,442,710,188,857,036,510,865,223,568,112,159,866,268,557,680,785,440,
428,723,632,627,492,800,601,302,878,088,512,971,082,540,261,423,325,175,919,
172,455,487,843,886,144,225,548,544,135,754,416,389,928,817,715,444,358,264,
628,931,238,241,254,167,695,015,948,585,537,396,815,268,503,128,365,046,903,
488,184,979,287,822,794,009,700,988,694,424,900,566,388,537,102,671,529,724,
183,972,329,819,354,163,868,163,489,306,912,292,947,417,561,460,007,886,396,
291,369,547,140,177,775,411,708,121,456,387,552,562,353,497,222,405,130,790,
178,726,043,000,029,599,924,972,195,404,046,368,385,284,838,214,272,391,753,
588,002,926,833,240,815,847,328,350,016,533,619,115,967,891,296,281,422,449,
032,007,029,259,986,970,965,899,259,646,040,610,933,234,676,334,828,668,977,
127,062,353,375,910,406,615,177,979,846,193,346,606,528,856,560,167,718,561,
411,388,636,850,413,221,009,986,435,526,686,620,161,610,953,822,661,355,807,
040,840,316,238,250,421,567,129,169,796,078,315,234,365,991,395,524,874,599,
087,583,046,509,706,504,176,247,750,412,320,718,751,882,206,166,334,714,314,
390,637,023,598,764,021,455,538,373,147,622,448,801,631,334,554,265,704,750,
035,143,649,667,267,295,490,165,534,853,601,533,507,519,723,963,882,366,468,
006,023,133,019,338,544,061,877,413,196,540,763,000,015,010,032,929,175,899,
774,484,846,880,318,394,128,872,261,920,637,423,826,320,906,098,946,322,143,
572,090,942,926,864,190,165,978,744,337,506,334,097,506,801,164,002,919,330,
105,565,493,378,423,090,592,538,867,216,507,503,844,784,651,767,643,332,507,
139,714,982,497,275,554,085,078,292,277,379,063,778,355,732,985,038,682,171,
121,953,238,170,667,293,527,763,227,716,177,955,408,092,838,091,767,021,709,
889,911,356,208,525,178,781,327,549,194,111,193,470,973,162,966,282,865,151,
621,404,141,217,587,382,687,156,518,717,198,418,035,049,823,245,544,538,473,
008,362,351,955,672,477,356,015,921,056,666,173,875,892,182,615,761,423,340,
289,602,060,158,213,015,660,243,888,039,075,537,010,101,637,670,544,360,466,
583,697,639,990,116,744,891,640,484,054,302,600,504,113,061,179,037,229,266,
659,607,452,259,904,475,364,120,762,558,224,821,732,634,295,174,681,119,099,
106,938,225,602,158,739,396,858,073,020,656,745,003,866,352,263,165,408,985,
746,558,429,454,409,832,212,663,141,901,145,846,168,425,790,864,823,259,383,
523,953,876,614,114,335,315,660,588,887,364,908,020,051,141,456,866,866,656,
195,029,221,329,024,042,341,005,211,784,924,530,257,151,612,586,337,037,101,
653,736,514,087,361,378,129,145,213,341,802,549,931,482,436,306,846,064,461,
660,668,896,563,111,141,897,318,123,638,612,747,307,638,668,114,334,262,654,
988,910,268,347,955,720,470,186,890,036,795,723,297,508,056,315,378,164,059,
210,842,295,059,471,263,462,102,840,713,806,785,859,065,233,250,287,038,882,
914,770,552,466,515,321,223,646,109,224,660,910,295,629,530,277,146,762,562,
613,495,795,394,583,924,330,736,340,273,330,504,177,860,713,833,913,267,020,
140,465,080,501,000,594,721,242,377,804,440,543,676,265,941,150,747,393,710,
048,646,940,389,959,562,334,281,870,656,041,374,200,664,675,765,051,849,664,
630,795,018,531,042,267,029,277,986,260,145,952,998,201,620,859,016,873,466,
689,904,191,877,697,598,115,537,261,855,990,008,930,694,695,135,749,259,127,
288,446,389,229,421,637,131,704,654,711,230,069,192,386,016,238,779,882,521,
356,024,716,817,931,965,561,631,546,467,254,212,618,218,692,362,496,277,585,
483,664,836,740,310,934,929,312,401,613,746,606,508,785,278,747,840,761,549,
349,717,759,683,847,136,546,857,789,342,958,975,991,103,715,122,264,562,927,
887,229,487,513,050,896,718,515,740,011,043,048,134,616,969,908,701,217,078,
823,982,900,388,641,823,954,241,635,828,611,786,800,392,017,310,773,327,522,
680,500,590,974,799,303,816,344,185,089,516,623,457,291,358,606,656,054,575,
159,954,507,300,546,556,747,115,195,487,808,895,580,171,321,781,355,354,647,
917,151,521,438,695,092,774,168,130,343,020,770,950,030,614,067,066,188,313,
099,384,685,707,549,130,186,118,602,765,740,532,463,950,337,255,930,941,348,
283,363,890,517,472,320,856,439,092,200,632,679,576,145,164,938,459,392,043,
772,517,665,679,559,010,875,549,145,836,537,007,476,908,509,920,034,921,885,
813,326,795,234,962,906,613,825,699,284,548,511,688,617,387,620,691,178,636,
322,582,181,556,198,063,743,484,201,624,349,129,490,779,859,951,765,866,654,
433,946,182,658,455,936,127,637,291,891,358,018,562,310,498,980,060,503,735,
369,413,852,709,322,278,447,925,850,050,404,178,627,648,495,490,249,393,459,
700,198,698,162,343,602,592,817,101,397,952,010,085,700,012,068,134,410,157,
955,850,537,648,921,940,423,025,442,716,366,284,553,098,177,826,892,971,135,
340,007,418,163,301,819,871,909,001,167,627,799,588,424,416,393,001,138,208,
875,028,144,983,879,366,170,920,626,218,839,915,561,813,294,745,400,547,940,
753,185,172,182,428,805,372,413,891,767,764,011,801,282,160,835,189,654,181,
934,501,448,744,197,562,425,958,697,580,956,472,547,846,150,091,980,840,643,
155,822,734,237,302,171,214,807,100,161,147,090,434,751,834,372,940,865,364,
411,782,902,816,437,760,159,637,958,550,339,450,922,210,272,245,244,953,539,
585,414,536,199,283,856,141,724,721,283,391,353,041,101,413,467,746,794,968,
068,531,268,116,121,139,512,185,243,540,957,403,369,765,349,020,737,314,580,
203,699,341,565,862,865,124,160,900,835,080,076,079,047,473,904,216,385,232,
054,924,787,490,035,290,794,288,686,615,317,990,753,841,789,918,149,621,100,
199,076,951,205,846,066,016,842,017,621,674,051,278,858,659,910,994,707,704,
983,769,985,265,856,419,163,889,396,738,307,508,790,626,444,950,278,795,465,
174,948,487,847,119,948,218,011,183,105,431,805,830,668,063,376,229,643,266,
227,189,432,929,462,807,109,240,166,355,259,729,739,578,567,376,190,060,964,
953,217,564,997,316,459,462,239,937,239,199,822,745,322,662,642,030,469,947,
687,757,891,415,717,091,005,680,645,530,790,243,153,364,970,132,254,762,952,
789,361,146,922,043,974,474,116,414,539,021,812,802,647,028,353,535,462,329,
513,166,575,832,015,531,500,008,982,229,003,856,149,020,153,328,466,779,064,
168,969,929,806,249,325,848,833,427,051,923,870,680,650,655,937,638,803,858,
518,318,076,416,457,213,318,503,652,590,610,769,952,081,633,285,290,668,472,
424,944,427,411,870,402,674,434,782,028,614,625,601,836,207,449,670,869,135,
126,309,140,821,418,944,853,639,916,707,341,364,028,533,901,214,696,985,223,
856,954,370,647,364,190,968,001,393,808,933,560,205,110,059,590,029,299,604,
156,117,027,151,599,081,722,943,822,246,338,054,205,987,699,272,220,069,183,
350,912,310,196,538,051,589,375,586,263,586,378,077,763,122,086,468,411,642,
532,255,868,456,752,413,481,707,080,375,887,677,638,026,267,709,674,951,487,
455,767,487,386,588,862,749,940,169,517,850,966,468,579,291,515,582,954,215,
593,854,161,969,909,719,328,252,169,746,908,377,243,098,100,390,595,691,875,
833,093,507,871,941,286,052,163,169,778,781,083,361,823,093,314,152,075,800,
856,871,010,708,779,882,451,748,758,521,694,627,894,969,696,945,094,882,828,
972,041,937,583,315,965,033,239,307,033,314,698,065,128,222,134,385,227,053,
852,385,696,199,000,201,525,255,527,791,661,582,845,265,320,497,432,990,821,
627,733,528,383,460,691,476,854,540,175,604,507,893,907,858,622,231,919,518,
114,347,709,649,127,694,544,124,878,592,486,924,691,544,939,150,810,537,377,
558,261,124,601,525,694,552,365,252,254,609,245,997,675,416,776,166,755,900,
700,440,326,950,340,819,987,120,800,287,471,044,218,978,136,413,821,820,520,
365,000,411,837,215,777,509,086,089,992,293,644,587,549,661,025,703,210,307,
234,573,618,879,888,018,243,514,929,354,027,094,626,452,820,443,042,079,302,
277,457,805,143,957,965,316,443,840,377,127,829,597,674,596,310,416,939,413,
704,164,298,188,507,305,676,902,537,712,801,219,955,126,753,109,645,030,513,
209,729,202,828,304,513,282,683,106,732,715,782,575,184,773,645,472,735,634,
258,622,623,210,179,764,246,889,681,489,891,557,523,962,405,965,755,986,694,
758,556,532,176,994,196,128,938,004,919,269,537,649,594,036,505,182,808,828,
215,916,972,131,206,284,630,086,728,395,520,518,009,397,603,451,449,794,717,
782,934,044,162,454,709,183,997,433,448,328,867,334,127,328,288,459,226,214,
500,928,743,447,055,088,332,924,306,888,464,035,100,462,772,406,929,730,637,
471,717,448,154,232,699,697,408,015,434,563,981,973,794,651,804,601,679,711,
963,524,636,166,853,778,995,177,041,918,503,882,332,544,731,037,770,569,276,
290,649,815,699,984,053,457,619,899,046,548,252,975,417,840,854,279,330,208,
441,466,970,346,986,886,722,313,056,020,773,501,070,986,907,765,699,717,413,
045,818,732,913,069,099,148,071,383,337,476,518,130,282,784,725,571,189,871,
911,836,920,064,803,592,790,983,660,387,542,051,210,586,485,605,825,510,553,
781,731,150,592,679,831,062,323,158,298,506,666,114,081,340,316,028,657,489,
275,197,931,114,416,319,159,779,456,878,625,508,449,236,075,130,680,548,217,
573,347,435,839,066,147,088,952,583,444,102,507,163,472,274,110,597,089,347,
019,173,602,021,380,924,554,451,924,279,079,125,047,330,977,929,331,088,325,
770,791,233,542,156,616,229,710,023,828,282,912,402,558,825,883,016,485,021,
475,496,964,815,972,310,924,049,706,046,096,910,906,098,339,339,790,346,926,
296,490,600,236,715,989,255,523,354,711,533,599,339,572,528,989,661,351,648,
193,504,120,108,506,716,720,787,529,364,251,953,226,353,864,833,958,477,195,
605,481,264,237,088,768,339,961,092,267,031,268,804,527,341,498,376,391,810,
770,928,724,898,671,140,606,659,503,551,763,851,476,928,667,736,190,553,320,
658,133,628,417,466,394,834,535,504,625,589,019,184,179,994,740,909,727,770,
736,929,358,587,304,830,761,202,108,039,432,576,676,548,221,178,943,340,888,
319,301,230,301,931,377,271,412,052,831,140,453,095,311,731,870,071,677,468,
859,696,318,146,325,447,179,968,809,574,806,403,827,413,028,877,550,491,683,
203,942,900,952,486,954,129,621,864,660,451,169,736,488,196,708,384,340,471,
394,148,365,707,974,058,946,291,949,710,255,813,798,192,734,019,221,164,037,
112,560,738,705,545,174,793,002,533,281,391,459,781,103,897,646,504,599,211,
622,613,033,540,719,315,328,996,562,070,947,232,769,628,305,908,130,308,949,
750,188,932,108,080,997,338,789,400,670,990,457,097,267,305,862,856,394,121,
637,752,297,597,865,423,639,340,542,478,851,961,274,093,487,318,026,737,797,
610,821,087,956,236,376,409,127,915,082,511,317,262,017,123,019,822,433,478,
227,737,869,127,582,296,937,538,475,644,186,539,119,577,362,192,806,751,266,
826,185,621,869,250,248,902,660,431,851,515,720,942,755,858,386,410,504,962,
923,875,759,023,029,035,351,587,715,503,363,813,161,337,343,960,669,208,704,
841,851,565,273,471,782,335,594,523,434,080,882,454,145,106,784,890,148,799,
614,156,658,371,892,729,276,432,173,802,366,607,416,537,417,645,326,496,752,
094,378,862,957,617,025,499,582,787,504,593,750,627,408,172,688,826,599,939,
890,631,755,787,596,214,455,002,856,827,818,109,614,260,219,537,860,123,368,
515,776,271,196,880,833,250,185,402,793,434,796,408,332,092,970,486,368,038,
676,797,004,651,059,212,681,377,100,761,369,374,200,012,387,275,123,635,962,
019,631,464,244,021,004,519,352,201,996,525,635,968,459,926,074,973,391,054,
440,623,578,184,038,095,043,689,753,459,602,674,131,660,041,586,959,134,785,
729,764,483,524,505,011,454,584,304,329,058,734,762,357,741,001,823,198,685,
736,671,096,468,563,625,955,108,024,397,938,997,112,463,085,661,479,466,085,
560,117,011,806,212,664,539,431,630,203,645,972,597,492,561,665,399,474,068,
620,604,802,955,588,167,479,953,446,417,298,993,757,408,940,161,429,656,054,
833,089,121,047,149,892,093,469,988,488,239,902,380,768,902,224,286,969,422,
400,764,924,960,400,387,513,081,223,731,965,200,607,867,287,946,797,008,757,
435,023,280,245,331,029,886,552,836,809,549,388,468,430,998,232,880,217,205,
022,327,248,154,103,437,304,698,284,902,749,544,970,672,583,282,611,315,862,
406,862,127,226,460,415,312,592,681,190,688,982,957,795,235,569,718,767,022,
605,094,750,440,114,077,205,734,892,386,531,362,920,243,476,369,199,867,411,
377,103,435,353,220,519,054,260,099,921,651,957,107,621,942,877,511,950,488,
130,566,090,828,853,766,829,398,309,829,772,880,693,390,126,145,623,953,244,
670,165,672,538,020,173,866,894,491,068,716,380,801,908,546,487,178,917,466,
149,604,727,397,326,757,202,432,453,728,719,785,614,715,867,317,046,621,959,
329,167,246,324,273,661,365,121,770,026,650,873,887,803,452,664,464,932,847,
653,947,114,557,844,440,980,790,422,154,267,534,901,721,321,842,989,722,568,
495,922,929,535,407,727,002,518,333,248,802,592,135,417,278,298,894,875,217,
742,053,470,109,570,700,079,216,918,897,009,771,347,906,052,582,332,185,776,
165,285,509,389,276,658,949,623,759,871,033,697,580,960,084,330,548,774,442,
918,122,365,959,806,166,926,008,788,702,501,351,585,602,311,612,586,334,889,
581,149,854,180,125,932,965,128,858,953,529,156,003,972,612,618,627,065,167,
274,796,802,914,351,694,910,371,716,031,877,104,575,661,524,500,968,826,222,
193,169,236,600,770,077,415,382,842,585,113,381,103,609,374,876,450,480,492,
383,596,416,587,456,772,913,330,964,346,970,735,370,779,524,515,748,706,080,
160,073,347,847,973,727,354,838,635,978,714,612,313,423,434,641,341,844,153,
847,602,761,793,473,743,097,933,291,050,536,674,454,404,128,690,999,638,098,
446,788,552,247,617,181,212,212,622,615,018,533,940,973,150,277,267,598,764,
099,491,000,056,825,095,647,009,867,682,973,154,575,160,961,103,441,413,830,
802,796,313,119,222,332,628,940,977,618,612,698,279,184,910,788,014,542,822,
810,686,945,299,178,323,133,103,511,984,655,343,867,029,197,609,072,235,961,
467,791,829,758,674,519,765,193,697,990,067,296,557,234,622,788,666,362,772,
556,090,508,222,927,029,857,553,311,225,854,879,496,800,463,144,539,044,741,
112,568,601,841,060,393,038,349,044,236,313,414,855,690,589,877,122,386,118,
149,651,822,208,181,496,382,236,193,665,877,388,447,094,934,413,733,064,908,
624,147,056,938,828,762,260,417,023,554,959,770,093,618,180,443,062,937,654,
012,595,068,077,797,963,286,670,708,371,621,678,304,970,659,191,878,584,214,
348,145,958,751,923,669,295,829,376,031,160,360,027,788,724,336,238,579,651,
126,717,845,755,425,977,444,925,628,944,398,117,076,568,304,017,397,114,183,
988,076,685,307,425,325,244,261,661,295,844,192,198,667,159,254,867,101,362,
933,906,528,280,444,756,456,324,652,394,124,983,140,903,793,518,047,472,144,
516,093,818,448,233,929,909,339,728,290,339,176,767,022,975,012,157,181,003,
942,673,764,285,057,571,407,359,922,207,359,390,760,522,064,928,139,349,225,
408,109,717,329,963,234,689,948,022,639,489,849,715,166,972,599,221,562,927,
821,228,196,846,860,673,423,994,999,145,559,084,150,330,723,681,210,458,306,
901,847,298,891,898,670,052,677,019,704,264,375,187,103,733,123,168,269,146,
436,811,553,262,873,782,650,747,646,695,097,887,686,228,711,849,444,388,515,
313,086,629,650,651,338,515,421,400,569,510,881,363,109,552,494,244,411,208,
899,082,018,833,020,542,830,992,811,266,942,672,846,421,308,765,182,332,146,
408,427,402,308,749,099,340,837,091,180,557,388,131,304,352,894,206,918,771,
218,503,061,605,514,305,280,801,437,145,736,724,373,731,178,937,044,510,422,
417,880,265,978,185,180,501,113,166,932,671,126,030,416,898,789,371,861,444,
502,979,489,890,976,787,285,341,545,378,701,439,874,759,081,550,793,580,929,
441,545,289,452,566,496,547,430,673,465,162,118,350,437,288,877,070,459,865,
888,672,455,797,350,126,796,313,794,174,029,572,795,344,178,340,248,602,228,
503,047,373,235,305,995,270,251,413,274,699,106,031,942,616,642,999,809,443,
449,040,248,634,686,236,247,357,680,072,195,564,546,400,599,671,813,875,205,
213,758,058,027,009,740,879,742,807,740,671,661,000,846,183,792,106,087,767,
173,537,823,273,568,871,508,550,276,810,658,125,032,928,405,172,890,621,989,
710,678,784,973,237,255,957,793,667,057,764,808,172,383,925,504,349,403,344,
863,134,742,348,919,974,869,726,191,390,286,057,803,980,147,944,615,235,065,
740,939,867,157,991,423,483,469,484,208,816,191,981,004,280,504,220,612,365,
979,205,354,054,018,676,883,865,481,748,879,259,550,657,582,283,331,255,125,
070,654,990,175,785,378,464,835,932,269,667,913,190,466,479,635,807,113,765,
933,957,704,481,719,337,936,126,933,223,363,027,811,119,309,236,989,407,123,
506,182,591,278,876,759,092,452,633,801,314,850,478,076,946,987,466,250,953,
908,979,721,948,660,208,774,903,191,084,688,762,431,115,073,685,372,973,656,
448,560,693,261,849,811,193,398,022,768,863,729,379,737,448,755,506,861,319,
976,237,273,111,753,020,564,775,187,683,349,229,873,701,745,103,885,753,487,
865,526,601,110,672,533,327,669,745,234,208,945,522,710,032,326,737,204,655,
250,128,902,617,189,765,350,995,398,221,628,455,507,744,930,749,805,767,226,
830,111,316,078,782,680,500,700,511,859,633,393,087,473,884,271,753,828,508,
720,851,749,195,520,922,344,690,718,874,672,244,419,664,061,416,575,914,507,
882,228,830,586,254,914,091,131,948,184,677,499,036,362,924,259,472,281,835,
797,420,980,841,272,760,780,452,963,109,721,332,489,837,395,096,915,180,799,
311,208,185,839,225,132,752,638,713,747,913,037,870,225,043,141,360,465,065,
904,583,906,400,491,678,507,155,734,062,636,501,790,563,354,126,883,086,910,
073,272,811,076,176,258,447,675,215,363,596,254,294,598,510,612,184,069,367,
877,230,033,403,799,078,557,942,392,457,306,141,894,282,890,965,806,156,658,
777,494,862,282,196,764,141,199,559,613,367,238,765,420,873,626,809,892,535,
034,120,149,923,861,763,605,578,956,566,134,598,953,315,102,962,914,169,126,
269,084,486,403,927,207,144,165,851,347,592,850,666,032,475,820,352,049,924,
613,356,152,049,543,522,828,026,018,555,926,219,688,884,523,865,666,024,740,
549,439,243,118,588,210,202,514,301,655,030,068,654,828,247,267,660,732,739,
849,724,714,434,695,757,874,265,065,189,605,785,698,830,276,839,199,326,419,
924,320,163,491,537,349,428,758,018,114,455,881,600,502,701,020,563,009,316,
315,311,376,467,083,413,976,913,776,940,036,526,451,813,516,695,158,899,260,
629,578,299,956,760,757,820,682,594,552,166,582,607,879,219,389,366,548,783,
165,038,848,488,213,171,835,490,087,029,012,296,558,065,211,027,583,188,600,
664,525,736,647,417,269,348,755,723,987,153,268,151,476,057,307,918,910,112,
038,087,574,859,967,344,531,865,011,685,987,026,720,100,392,936,334,851,737,
044,235,178,175,892,946,687,028,187,706,275,599,284,394,851,694,998,451,227,
002,362,345,385,372,558,419,287,485,703,440,827,617,138,061,716,538,333,397,
193,923,805,609,583,752,987,746,606,003,570,122,558,863,291,224,242,578,122,
490,216,769,083,338,563,551,949,251,268,412,678,763,930,792,877,824,144,118,
495,848,975,057,112,712,077,505,388,003,934,339,951,690,326,395,513,925,445,
262,663,939,657,177,153,574,155,835,781,316,197,755,643,929,217,574,317,591,
110,250,788,830,995,164,377,172,016,524,893,877,917,480,458,197,224,595,959,
169,598,359,087,820,464,598,427,550,600,106,382,809,035,295,038,296,347,683,
240,755,998,490,879,128,051,339,887,931,811,890,111,214,386,702,606,376,861,
239,892,844,165,095,145,584,290,180,358,850,080,620,832,888,213,088,291,074,
609,151,461,938,716,553,097,158,966,922,980,946,464,097,293,463,601,110,708,
036,412,967,538,135,201,952,784,817,280,562,592,275,443,339,336,187,039,343,
740,956,542,168,404,382,292,233,521,054,811,772,377,527,578,101,745,163,625,
507,116,571,191,993,364,438,276,786,816,993,621,079,668,702,194,464,876,602,
373,897,262,832,217,924,940,921,881,096,428,034,142,788,789,806,118,161,338,
663,822,213,974,441,590,549,400,002,828,760,099,900,712,136,924,886,354,945,
738,840,480,451,196,532,269,187,527,803,697,473,838,371,296,587,348,063,795,
694,985,080,096,650,231,733,234,829,972,525,238,680,190,797,339,455,159,834,
395,849,581,665,522,842,297,456,207,318,112,535,774,403,419,791,487,179,410,
073,855,838,925,699,360,873,565,975,845,838,213,291,911,986,994,626,138,377,
380,988,019,294,781,911,805,406,151,490,256,967,284,050,026,550,141,574,352,
534,634,317,271,457,849,519,926,831,420,894,859,621,136,704,382,355,882,730,
206,651,881,748,299,343,413,063,140,179,163,650,950,679,466,214,959,396,493,
551,840,088,368,071,347,456,335,720,704,423,070,588,157,959,266,730,602,726,
674,236,591,895,525,238,598,529,856,302,319,307,684,466,419,286,469,264,851,
529,577,966,206,378,095,418,016,145,912,431,584,655,929,891,104,325,866,207,
628,494,950,493,487,496,866,957,959,481,983,546,216,360,866,621,289,637,845,
433,354,849,299,734,624,884,527,495,238,587,938,621,867,198,908,576,025,487,
377,034,147,930,145,447,085,643,246,602,749,695,851,053,065,648,622,761,173,
447,074,750,590,084,644,683,467,152,014,297,744,509,583,408,790,170,024,030,
699,701,387,115,847,519,494,028,594,424,884,530,751,614,382,447,625,393,160,
320,543,552,748,640,669,525,746,134,241,258,326,272,399,729,694,263,513,535,
424,586,288,205,766,122,081,851,711,080,475,716,899,291,786,347,174,286,334,
862,480,324,579,756,284,126,385,007,838,782,165,621,099,526,358,010,947,005,
470,905,777,468,197,675,458,269,378,971,896,828,973,019,821,599,579,747,588,
441,253,854,781,223,573,206,328,909,088,528,018,536,425,517,674,790,580,572,
046,796,689,208,050,008,851,500,341,457,731,610,533,949,727,263,383,198,573,
219,147,398,945,630,622,981,703,437,897,944,958,085,677,963,431,021,390,493,
639,274,724,501,618,127,942,148,069,905,018,288,839,403,423,437,899,233,373,
486,931,353,622,164,067,534,644,342,236,451,009,274,362,873,308,540,460,068,
112,244,401,598,461,219,366,207,466,837,805,171,185,518,163,238,216,968,614,
075,513,644,522,326,240,627,418,921,736,726,137,525,171,617,046,817,681,977,
435,299,377,505,159,328,626,567,164,850,624,487,895,416,488,139,330,808,023,
280,394,289,246,023,545,950,484,824,283,641,156,977,209,488,304,341,914,626,
737,314,460,946,239,718,853,404,181,653,137,294,644,996,168,394,225,595,324,
660,104,849,282,944,132,673,619,859,450,526,466,144,123,489,510,654,479,508,
398,804,103,058,919,003,351,499,184,313,114,639,747,586,864,239,607,182,741,
436,118,631,707,701,512,891,120,207,231,310,374,003,460,880,815,887,388,438,
316,494,512,471,136,131,805,252,522,889,408,533,114,567,547,690,058,322,004,
233,978,638,874,342,054,389,081,627,587,892,713,408,935,455,735,199,634,786,
566,153,729,195,734,835,827,881,018,373,852,196,393,151,873,109,914,289,417,
070,484,224,087,077,597,200,762,585,405,234,547,310,505,918,848,119,984,309,
586,393,654,417,617,308,862,102,902,217,448,324,938,051,753,140,898,395,691,
409,673,322,644,805,253,175,917,326,128,064,167,826,194,510,324,439,872,967,
116,541,298,304,637,061,359,633,579,869,661,170,122,844,996,934,257,756,280,
498,469,436,052,851,865,702,068,710,302,296,111,442,933,874,970,727,486,635,
765,597,025,856,931,104,863,371,598,092,755,286,664,958,311,439,805,767,403,
646,910,499,790,889,536,752,721,916,907,522,756,236,342,652,478,359,259,083,
940,224,428,717,176,670,255,096,725,627,740,399,856,722,911,585,500,299,566,
621,173,984,399,170,431,693,849,905,926,110,449,080,909,635,683,690,880,357,
525,788,407,037,566,885,563,383,338,716,650,559,134,976,485,084,028,644,712,
941,823,792,585,450,532,241,487,640,232,170,608,323,127,254,334,798,655,162,
824,576,268,053,311,005,231,995,104,457,295,511,456,783,227,186,903,560,053,
539,928,962,820,491,433,201,200,759,428,473,042,366,396,680,743,500,963,798,
718,510,017,408,403,661,113,486,697,505,886,253,208,692,642,901,743,619,517,
304,333,772,439,965,550,346,294,201,237,595,800,992,699,745,730,239,870,729,
755,217,945,719,954,955,322,939,290,213,417,758,016,848,805,695,792,741,717,
449,761,466,156,428,992,288,537,310,312,444,323,964,663,637,720,684,674,144,
070,464,829,781,256,613,155,282,735,223,333,001,546,305,935,764,407,487,545,
691,675,693,812,735,465,974,671,544,465,431,971,347,899,190,442,032,065,765,
078,473,242,008,165,325,961,109,223,618,385,168,397,302,716,999,315,125,172,
663,272,020,460,971,063,013,734,258,254,661,022,407,201,781,101,740,097,573,
905,812,551,726,274,348,098,084,667,663,845,973,188,812,015,725,186,655,798,
946,780,656,700,909,549,221,492,684,283,576,773,724,172,461,761,828,160,278,
032,777,974,082,665,067,786,153,090,221,229,429,470,400,077,194,108,928,197,
742,877,428,014,961,851,958,557,196,832,504,771,188,104,873,346,792,435,234,
955,384,126,896,900,546,823,754,297,684,305,319,709,638,842,900,605,275,349,
547,965,362,556,495,382,032,936,092,240,044,644,338,347,690,785,209,014,978,
405,291,080,542,086,775,693,421,102,162,934,595,656,202,710,886,217,466,724,
893,881,466,198,318,853,359,349,170,041,043,182,772,392,795,472,588,530,535,
518,286,060,348,679,697,742,031,907,599,529,880,526,036,068,367,422,821,583,
458,098,201,561,181,755,745,996,042,284,663,374,914,431,404,496,148,588,842,
195,831,419,870,760,386,687,434,331,144,614,361,112,208,566,725,495,151,249,
747,523,412,710,171,433,611,737,379,458,354,522,172,658,208,157,246,921,856,
255,812,736,139,684,398,229,179,508,074,214,523,822,463,303,265,476,935,576,
619,470,847,582,638,204,137,424,852,699,788,021,238,106,486,498,650,514,840,
218,993,702,071,118,778,533,179,841,142,756,671,521,102,926,780,022,293,387,
700,496,088,502,772,839,449,817,221,539,709,646,901,070,338,155,971,214,966,
150,303,674,117,753,136,756,594,098,562,837,136,659,186,595,701,464,603,435,
352,625,666,731,141,893,668,929,048,982,705,857,615,649,369,546,514,115,117,
193,236,949,752,009,544,820,253,908,454,377,139,122,944,726,107,586,152,561,
490,209,887,497,216,141,717,726,322,505,799,514,714,076,551,595,055,042,753,
347,588,103,358,834,654,978,316,590,987,067,467,746,773,125,110,846,014,286,
893,953,684,371,761,015,923,223,855,347,957,938,094,359,066,274,365,844,555,
183,874,838,546,359,572,875,081,559,359,192,041,141,995,865,938,695,933,260,
396,454,198,031,698,794,059,254,435,093,906,411,284,604,090,454,957,681,599,
876,967,598,458,035,882,513,487,468,529,999,953,795,237,061,375,768,238,549,
500,103,681,976,019,153,229,676,705,311,344,422,985,627,520,731,736,727,457,
299,051,945,840,178,690,953,857,185,187,495,523,886,298,283,493,942,372,258,
989,314,402,091,973,585,802,599,508,420,970,647,838,564,766,990,006,804,741,
190,240,024,050,807,056,246,455,623,927,281,572,999,356,281,288,983,843,519,
771,531,324,050,558,847,700,311,771,797,306,108,074,180,127,545,899,346,293,
972,436,601,088,253,820,925,898,618,633,168,621,873,255,527,674,321,085,226,
918,752,157,342,676,630,918,737,753,804,104,189,463,665,530,638,102,762,380,
217,979,613,683,290,607,084,644,487,520,489,100,131,092,078,580,583,424,511,
881,574,605,595,638,320,557,939,788,712,816,666,453,952,313,730,025,074,663,
073,668,374,720,939,000,247,684,377,628,708,877,619,658,121,731,963,133,977,
727,352,597,573,071,384,663,161,924,974,598,547,601,661,403,317,289,743,607,
143,509,304,239,375,361,394,746,540,053,099,023,251,744,529,888,557,349,574,
742,438,159,290,683,706,607,494,328,602,434,666,268,114,478,818,276,900,499,
226,271,117,429,918,754,852,755,383,784,825,752,869,808,899,449,559,088,146,
060,095,156,305,442,559,027,292,558,861,935,676,929,655,650,111,280,086,136,
572,805,227,033,401,515,921,469,819,325,483,498,215,278,777,135,591,687,597,
671,691,954,123,346,015,834,803,660,792,264,048,031,003,809,556,225,818,435,
506,326,320,125,469,247,883,484,520,036,352,291,979,526,330,217,246,166,198,
153,202,910,896,102,376,179,342,332,391,706,230,384,007,911,150,217,119,141,
505,770,179,064,215,505,863,770,300,778,164,587,654,730,487,636,255,779,455,
401,950,634,336,839,367,595,480,608,965,927,712,796,425,318,723,877,929,899,
135,380,652,022,523,425,420,951,042,831,573,249,100,219,674,654,376,709,378,
009,014,794,368,562,767,867,176,873,576,748,346,348,665,272,974,272,599,712,
336,375,534,207,731,345,543,531,421,172,019,721,281,580,007,988,805,602,563,
974,130,008,515,958,093,443,173,599,491,945,872,532,960,727,302,736,630,505,
219,810,243,909,382,260,047,862,364,984,413,653,261,418,549,658,493,816,500,
964,061,859,405,336,006,747,230,108,558,471,315,751,435,456,453,544,077,449,
577,386,550,494,255,880,459,785,831,892,352,821,772,968,656,942,052,317,779,
373,421,847,160,172,120,421,186,355,377,428,146,679,867,875,775,235,698,236,
254,053,940,022,008,601,378,675,578,862,563,717,572,745,801,577,618,645,719,
036,798,374,457,746,702,548,188,051,167,342,025,286,573,554,044,867,461,699,
160,723,843,086,333,467,393,936,269,375,221,745,313,410,295,521,995,430,672,
330,132,374,199,973,841,926,816,702,211,902,784,906,597,091,965,844,878,232,
495,315,169,268,622,615,429,254,694,763,297,989,498,490,185,393,693,332,534,
215,447,702,744,044,953,801,609,262,898,846,056,897,579,082,184,874,828,793,
295,415,738,637,206,159,317,481,204,757,972,380,090,521,408,400,595,737,686,
885,564,470,475,993,057,928,062,919,322,582,984,449,720,139,927,227,134,941,
896,128,881,882,771,242,779,815,288,110,639,655,020,406,051,663,325,050,383,
428,359,773,840,608,521,998,028,511,050,063,752,907,150,473,592,169,427,372,
073,200,247,021,720,869,876,213,218,637,933,463,270,094,267,582,679,401,281,
998,764,900,990,886,211,254,685,646,546,054,505,132,582,443,098,055,341,522,
990,268,938,630,782,902,071,400,557,756,850,736,593,798,703,077,097,466,474,
052,715,233,920,932,315,462,291,525,549,951,676,687,000,646,048,974,778,509,
393,369,115,251,796,895,493,753,608,124,386,876,122,535,276,098,708,215,175,
812,321,852,121,085,793,006,030,862,843,937,525,590,358,679,566,036,218,460,
037,709,962,645,274,850,863,379,337,293,809,376,577,965,882,546,700,673,391,
882,689,237,312,368,468,301,776,879,050,117,289,054,246,614,109,964,776,335,
867,149,667,388,897,356,237,514,060,281,757,950,129,199,639,154,840,262,495,
112,035,629,443,953,969,943,395,099,104,267,104,261,118,455,395,705,145,198,
319,907,102,586,176,353,141,931,530,351,106,329,994,816,937,439,676,851,616,
331,721,101,644,529,929,085,260,113,591,298,079,283,367,065,001,262,999,503,
538,517,236,799,401,439,283,313,175,675,735,967,461,974,296,359,150,984,157,
125,150,061,019,988,347,453,266,597,083,207,986,828,110,795,305,922,393,927,
163,211,306,656,219,343,717,231,289,766,802,610,498,996,732,820,841,671,343,
945,611,423,943,494,973,233,661,635,037,927,745,239,116,541,032,773,262,103,
281,830,734,709,222,876,695,567,373,881,256,504,036,029,196,781,956,240,264,
326,186,093,135,187,714,921,918,897,384,696,710,816,956,923,472,960,964,650,
737,465,415,348,347,851,412,751,320,669,994,941,301,757,515,938,575,827,362,
696,071,145,116,408,825,799,635,024,124,523,150,839,501,166,446,458,407,175,
318,219,400,956,265,879,079,412,342,599,618,225,275,585,000,449,997,162,957,
773,312,891,300,801,493,989,485,026,364,655,301,544,393,737,569,610,218,602,
027,022,585,568,150,702,080,093,024,334,682,015,466,228,632,687,735,566,557,
684,718,865,657,155,577,500,539,976,904,252,046,899,893,773,689,557,941,000,
186,032,607,569,452,959,138,629,443,498,437,469,450,360,038,770,040,335,432,
847,305,282,687,664,440,651,259,007,524,351,404,483,471,374,767,957,092,678,
777,946,752,676,152,294,623,448,488,128,972,101,841,979,104,328,952,882,899,
791,145,039,653,819,632,806,390,014,296,612,327,923,046,057,480,368,110,857,
435,514,937,043,915,081,648,141,285,770,081,526,049,969,685,060,025,069,734,
785,526,427,805,230,272,098,203,240,241,420,451,475,542,674,587,260,350,779,
658,861,591,335,045,620,497,887,885,768,975,085,494,094,786,141,241,967,448,
687,895,490,422,099,312,497,286,477,608,266,303,929,036,287,497,300,899,913,
419,169,625,381,901,698,147,286,865,896,382,191,083,606,738,870,047,318,296,
726,945,327,257,500,741,395,687,684,781,146,611,892,138,802,213,565,891,655,
677,821,832,986,436,143,147,792,686,378,574,477,596,880,934,558,330,853,652,
287,070,759,965,609,995,782,135,589,812,054,346,700,358,791,063,116,729,350,
224,266,237,937,255,416,649,398,775,122,401,655,875,239,517,486,542,799,394,
870,683,478,200,489,340,633,263,846,742,091,172,043,722,002,303,029,901,968,
236,415,995,168,343,226,226,667,327,661,612,927,386,120,073,523,891,694,106,
829,016,501,985,030,134,098,216,324,612,900,639,342,679,914,848,048,590,245,
084,404,348,181,340,858,993,987,019,916,625,458,915,917,306,064,829,431,370,
687,175,288,308,921,696,017,727,516,968,419,595,998,654,904,111,596,518,724,
701,934,551,663,288,006,817,948,989,048,962,957,663,719,877,809,315,678,495,
909,555,464,815,166,548,816,108,023,404,878,055,248,353,736,481,735,092,143,
586,411,837,686,245,908,602,239,355,386,954,419,215,407,705,537,075,757,248,
428,413,813,920,494,790,831,074,049,710,372,235,982,145,655,790,248,896,586,
988,556,123,186,350,572,449,404,978,423,837,082,680,984,695,460,589,220,651,
301,819,182,444,329,313,100,733,650,708,889,496,418,810,801,808,408,448,902,
980,926,149,246,811,260,066,915,616,077,522,363,437,275,039,015,982,591,588,
673,956,614,819,594,050,726,958,973,936,426,184,405,336,857,380,206,863,518,
315,521,322,133,983,666,454,173,729,774,076,006,462,201,039,616,472,206,105,
370,025,398,656,482,143,437,499,772,215,177,535,084,469,136,548,456,269,551,
792,537,266,173,432,514,206,672,982,155,659,174,136,361,820,238,391,782,740,
915,917,627,100,871,683,169,520,239,371,024,411,197,349,139,115,311,597,056,
214,941,292,485,714,273,990,385,585,236,440,040,244,028,942,667,625,031,843,
550,048,136,526,798,175,463,111,514,721,176,064,106,286,195,343,759,828,730,
649,547,458,571,547,378,722,633,853,955,766,498,188,874,176,508,093,286,659,
324,083,317,649,327,531,629,559,801,022,757,503,354,219,062,582,319,644,277,
305,928,984,195,733,514,684,776,608,999,205,846,543,374,552,980,080,873,978,
168,655,501,559,768,108,715,094,950,146,400,501,925,877,246,457,299,921,391,
540,863,493,867,621,990,971,940,990,541,030,262,923,882,578,404,435,042,403,
792,911,994,682,984,311,342,188,978,718,907,114,224,307,504,686,572,123,291,
438,507,162,032,611,793,553,239,019,025,958,068,545,799,192,547,177,898,416,
884,767,742,932,473,235,203,859,135,950,036,356,062,172,269,990,230,567,356,
535,856,110,966,929,148,277,029,506,300,752,402,149,739,928,594,533,856,739,
215,121,108,876,901,295,400,476,959,723,683,965,656,165,617,092,464,391,870,
359,594,410,541,809,105,796,303,446,331,979,313,515,203,830,600,842,968,791,
135,495,548,224,858,069,781,029,577,809,615,672,652,939,010,059,726,574,728,
950,312,036,682,078,980,215,069,638,793,391,539,804,075,961,438,765,320,272,
497,332,906,504,359,872,076,398,328,217,199,300,939,397,037,293,188,601,494,
653,072,883,397,888,273,446,784,349,880,346,003,673,621,275,505,652,246,940,
440,161,027,815,923,607,819,317,977,876,188,301,747,184,295,461,739,850,524,
361,679,626,687,360,882,041,163,292,653,449,123,604,175,559,042,897,350,548,
328,724,234,592,776,427,379,565,998,007,433,523,697,351,521,644,235,941,367,
350,537,740,382,796,178,160,862,429,553,850,804,163,529,126,810,646,669,498,
029,574,294,283,879,301,533,946,797,121,684,431,977,456,907,601,172,793,609,
230,392,441,380,665,682,993,606,827,629,359,731,908,668,213,337,822,975,791,
853,542,826,166,656,383,447,482,700,435,322,881,661,813,813,449,270,105,541,
805,440,957,926,778,342,204,804,772,415,974,247,126,893,998,516,056,973,148,
935,501,423,771,660,643,752,985,229,166,054,627,853,695,075,522,904,164,971,
697,386,248,634,328,014,112,651,516,647,429,740,232,357,561,466,471,260,559,
089,275,816,822,851,158,802,959,748,356,530,392,564,909,281,144,721,277,172,
178,712,050,100,106,598,873,071,832,489,915,652,212,010,011,412,575,319,137,
458,776,578,756,643,511,293,767,718,202,682,007,877,673,258,109,240,519,184,
363,402,850,829,262,148,704,761,005,201,939,250,261,640,047,440,469,466,491,
019,045,946,396,045,052,282,847,208,148,013,695,762,239,124,755,642,539,551,
788,374,860,263,909,372,745,269,903,304,379,515,507,971,087,391,972,939,384,
268,416,944,917,441,191,119,995,155,180,550,476,072,957,200,855,626,132,859,
889,457,241,475,752,616,653,677,255,250,268,888,272,561,755,216,138,585,619,
961,576,843,645,104,742,510,758,532,685,326,899,214,278,768,539,340,763,849,
961,695,608,481,357,934,156,809,296,773,782,213,903,793,837,409,921,381,120,
100,688,613,586,393,403,587,885,465,781,867,489,329,861,510,265,438,201,148,
391,680,711,569,391,258,543,948,504,813,872,870,259,875,712,452,072,329,271,
741,489,980,472,588,512,760,275,512,185,886,336,849,024,563,571,638,687,653,
055,359,554,671,609,436,410,084,450,697,017,845,755,734,367,918,976,357,008,
133,771,312,313,902,900,491,427,150,093,428,338,744,199,401,259,862,111,519,
004,652,364,814,764,827,329,221,687,892,820,595,344,024,938,588,780,347,819,
522,814,754,636,468,134,944,263,790,900,836,923,791,865,680,655,892,940,783,
219,935,600,507,294,367,431,705,134,238,831,812,797,124,574,081,225,752,464,
952,135,220,680,065,586,661,488,298,924,656,914,483,313,375,048,337,454,188,
689,460,240,366,338,824,572,785,764,400,577,081,447,671,355,955,011,972,192,
336,787,564,667,967,142,616,526,323,712,231,231,499,049,308,660,355,119,035,
589,297,253,147,225,666,744,844,756,698,906,374,702,693,275,410,530,322,533,
351,927,208,320,803,036,670,866,379,257,833,890,628,455,688,501,124,515,113,
634,328,587,874,089,359,281,332,201,212,862,943,991,200,123,991,242,662,282,
712,889,842,754,760,661,954,422,238,610,073,247,397,694,587,769,008,956,507,
323,563,877,032,745,673,907,006,116,450,370,036,413,081,647,200,587,719,017,
308,997,675,931,104,463,220,323,827,847,081,033,933,579,630,104,687,259,656,
424,983,138,826,693,420,871,268,548,705,681,795,469,466,138,313,241,564,533,
198,491,166,801,702,766,189,768,214,148,690,988,101,217,113,123,651,405,039,
468,714,099,630,472,974,362,255,505,109,149,124,161,002,154,669,473,353,424,
802,383,618,878,618,263,993,922,537,409,872,938,369,221,503,135,753,066,989,
911,614,316,995,761,360,587,556,677,512,576,736,674,148,935,796,436,022,322,
957,864,700,730,081,022,615,385,829,659,785,092,744,735,418,012,171,387,164,
484,490,848,486,468,880,165,945,998,148,472,714,725,416,144,880,690,621,317,
113,430,424,335,786,149,666,804,869,111,941,520,087,601,745,797,341,044,608,
989,982,242,470,311,808,456,783,845,251,606,982,191,348,030,986,724,293,062,
725,542,325,823,786,794,821,507,410,863,119,868,736,974,468,286,436,224,991,
032,193,743,443,808,203,186,513,814,312,329,834,748,956,270,367,800,404,812,
542,811,129,115,784,944,063,637,702,194,161,079,488,113,760,758,408,821,314,
663,248,574,963,756,109,864,419,805,380,830,836,368,553,171,491,956,527,637,
117,520,515,080,753,116,637,101,847,815,360,491,906,870,618,296,889,465,044,
274,087,625,552,998,713,109,384,033,060,740,163,879,491,281,681,932,893,387,
905,150,570,127,881,063,371,331,964,690,101,609,508,787,087,447,250,143,920,
424,390,623,426,735,681,762,469,898,685,619,236,940,141,981,692,782,823,260,
922,644,414,581,917,858,665,187,719,632,261,669,744,582,300,631,163,507,660,
806,761,134,300,174,657,806,076,369,031,794,940,622,458,830,658,757,927,631,
059,837,614,706,159,494,848,515,548,772,165,895,180,956,792,354,639,493,575,
903,765,100,955,549,765,268,038,464,785,816,777,386,159,494,978,269,449,661,
346,878,830,608,746,983,566,106,467,592,166,585,883,470,563,989,570,661,306,
814,953,691,776,356,543,781,794,881,297,995,228,011,866,567,103,672,728,531,
094,670,300,487,829,502,885,020,181,602,605,669,121,283,329,972,082,654,843,
494,250,878,131,761,567,648,644,894,387,505,183,010,840,059,459,989,521,951,
076,760,513,477,853,114,606,332,494,009,046,914,579,053,653,221,745,006,478,
823,045,270,504,126,569,553,663,689,726,602,646,499,223,757,207,677,418,458,
475,490,595,351,345,896,993,579,105,957,690,421,487,037,411,104,151,038,150,
829,218,837,490,198,121,581,411,739,336,489,662,402,257,195,459,660,804,174,
711,571,271,916,692,575,796,303,778,297,572,199,708,943,169,373,078,639,435,
616,523,285,167,790,192,890,120,009,909,199,288,601,461,966,835,829,660,070,
487,627,595,852,147,845,093,837,756,134,588,315,787,105,996,150,507,259,506,
116,362,519,289,127,022,541,990,320,572,969,205,982,832,779,065,826,011,490,
950,697,820,349,372,769,539,561,403,835,447,194,963,992,688,694,844,991,142,
434,593,891,386,487,491,738,788,906,699,321,931,087,131,110,143,720,819,867,
260,976,520,130,942,914,023,737,688,059,564,390,422,300,440,412,192,310,829,
977,730,290,675,309,135,668,250,488,587,352,222,112,668,378,953,440,147,511,
104,049,395,947,035,174,336,965,720,689,154,143,260,154,671,445,582,612,329,
530,566,070,841,989,573,185,728,333,496,678,850,938,071,273,764,273,229,224,
604,424,150,037,656,988,628,259,906,886,585,114,813,247,261,515,268,256,162,
374,424,527,869,407,630,336,196,148,742,372,690,717,720,581,514,023,615,196,
280,180,819,012,690,956,285,837,702,953,232,045,432,042,745,238,660,933,788,
717,810,040,230,403,249,711,222,759,086,035,076,279,581,410,717,982,625,141,
439,003,497,581,674,645,331,232,920,121,445,162,412,224,350,843,051,456,237,
775,800,559,421,806,765,469,168,590,193,631,759,059,090,732,512,387,084,541,
456,502,600,151,289,254,324,280,555,246,408,768,082,880,393,821,155,440,413,
325,419,824,395,680,195,427,927,893,897,104,848,916,445,228,640,799,885,490,
351,672,519,433,163,498,617,282,215,984,755,229,065,166,177,382,721,643,008,
582,680,050,856,619,935,143,937,572,933,515,387,888,408,532,032,336,428,948,
385,039,476,957,896,097,930,808,129,632,086,926,878,816,191,697,502,040,591,
036,168,094,758,925,256,984,024,238,243,584,039,469,462,392,793,792,730,727,
612,888,644,882,061,911,008,754,623,207,724,184,368,933,616,391,837,439,472,
938,354,142,856,000,637,950,507,420,960,653,033,573,747,545,604,847,095,790,
675,177,261,060,512,969,358,477,868,104,161,908,957,716,545,285,476,156,323,
846,420,594,395,901,563,398,988,164,776,228,768,407,411,720,768,759,073,835,
611,089,597,487,982,275,562,735,179,663,786,653,163,797,901,833,010,058,254,
561,194,056,490,093,376,976,578,133,660,893,343,959,022,029,451,220,306,068,
767,928,471,328,493,603,297,033,911,084,987,208,650,295,384,660,689,858,581,
875,631,239,134,535,089,870,293,227,143,085,279,180,734,016,725,392,457,343,
639,913,034,358,473,943,483,962,908,492,278,349,639,350,904,010,220,104,382,
156,088,699,683,267,595,565,849,561,040,417,386,563,536,904,305,844,708,570,
924,911,265,731,226,481,699,799,457,351,643,816,760,541,240,330,597,033,751,
416,770,386,000,522,471,727,812,467,578,405,812,036,049,322,719,775,940,624,
966,770,854,700,518,277,260,284,242,954,410,034,888,459,120,505,007,016,662,
040,630,119,953,463,560,181,827,506,697,890,058,386,356,463,802,137,418,518,
523,066,443,195,554,321,785,085,306,782,728,039,564,170,959,120,083,844,175,
934,980,199,511,213,586,943,965,770,502,220,941,538,263,212,604,405,888,928,
114,739,638,087,118,560,231,364,954,469,933,581,306,516,699,589,084,184,304,
536,052,411,770,768,753,767,972,529,508,535,889,153,702,692,309,888,177,127,
140,511,811,064,482,315,598,186,775,455,138,803,955,199,309,699,996,858,975,
017,394,589,933,299,780,312,825,870,105,356,410,857,500,630,703,143,239,074,
783,181,944,909,772,239,903,001,532,185,103,579,338,229,011,713,699,432,227,
548,528,600,299,398,661,754,613,294,721,329,319,963,749,296,804,809,687,597,
369,149,692,356,494,786,641,207,784,206,935,047,758,154,337,198,669,857,399,
104,499,880,169,252,963,175,950,239,268,036,517,528,645,393,597,375,094,985,
999,386,134,028,678,455,684,857,992,816,361,397,135,663,107,540,921,896,121,
494,158,288,862,683,090,076,869,068,561,550,287,489,924,804,154,215,366,368,
440,017,786,394,082,361,137,511,255,335,939,201,354,028,001,536,024,377,661,
463,009,529,424,816,960,798,921,474,091,032,594,800,929,035,770,587,618,021,
415,305,655,446,968,905,957,077,130,643,424,507,746,327,783,704,378,693,126,
723,795,252,342,095,829,800,447,429,198,172,749,381,154,941,536,552,275,949,
320,047,069,561,793,976,338,153,133,951,364,823,889,572,411,101,042,690,677,
601,941,659,145,453,289,575,481,635,776,845,362,334,627,768,605,724,644,068,
698,596,705,479,882,897,007,887,750,459,430,625,669,565,641,229,867,959,374,
058,349,881,762,127,313,951,559,301,514,684,718,825,001,563,132,361,659,485,
144,661,755,653,959,388,278,225,992,208,982,982,185,686,964,370,736,331,710,
796,482,537,206,238,595,293,736,342,306,093,754,669,664,341,772,029,398,371,
265,052,947,704,686,869,276,694,047,263,308,725,328,635,951,515,891,737,914,
220,397,896,667,270,957,603,457,869,137,877,919,717,857,798,649,527,139,854,
677,229,961,568,754,254,303,485,751,749,674,632,486,304,172,209,830,899,210,
882,872,905,610,352,239,840,135,883,630,946,241,273,960,188,139,680,200,261,
346,877,209,456,905,375,126,169,940,087,528,854,941,519,508,825,336,407,196,
080,268,115,729,383,960,814,241,491,296,168,650,298,281,263,473,311,519,028,
681,120,891,060,915,626,700,552,531,996,871,512,390,408,014,369,926,819,786,
248,016,981,284,130,134,329,452,557,059,689,423,600,336,887,599,959,947,859,
723,077,849,011,746,717,038,312,301,486,174,737,034,071,066,037,326,924,488,
067,183,286,655,147,836,752,702,995,004,693,796,003,668,180,413,257,415,652,
540,053,355,440,830,459,942,079,281,771,837,705,676,595,105,340,710,847,869,
141,151,921,108,881,109,323,448,782,403,372,479,379,353,673,236,437,189,607,
904,856,732,870,659,923,577,855,315,376,768,061,449,831,249,009,917,217,482,
261,167,534,340,924,466,640,455,314,540,311,740,695,666,775,728,529,128,873,
768,297,100,957,160,844,396,402,446,650,210,576,073,925,780,419,925,461,062,
489,635,809,741,970,579,180,819,773,671,482,310,916,772,707,320,653,057,670,
155,199,981,577,439,027,949,585,253,942,009,294,905,607,208,550,472,237,722,
059,136,623,674,916,933,860,108,888,857,511,107,655,573,645,268,809,074,984,
115,711,612,947,850,225,870,786,686,694,477,786,343,023,442,424,631,735,532,
960,174,666,583,289,501,733,867,317,060,498,811,038,353,868,342,471,650,209,
388,424,958,242,121,109,039,408,660,667,335,666,146,931,498,269,063,927,818,
766,338,262,919,784,073,057,041,978,850,286,424,261,258,852,201,565,156,504,
906,669,825,151,754,071,479,133,874,004,500,068,994,147,639,551,409,942,531,
773,624,507,113,934,815,788,067,360,821,976,364,456,438,654,933,325,566,041,
414,008,430,191,152,913,457,234,422,697,969,937,677,979,414,786,677,818,134,
384,845,889,143,983,207,634,202,881,927,373,874,644,733,777,598,761,404,510,
352,353,467,858,908,105,538,840,355,752,325,318,263,362,041,214,065,146,434,
878,206,423,470,852,051,104,748,153,038,430,099,039,448,840,262,163,936,024,
977,729,917,051,371,005,855,208,251,315,646,901,515,529,627,516,042,787,254,
362,928,504,595,445,030,744,375,429,886,477,605,691,211,551,338,473,576,262,
838,111,669,098,662,719,932,015,078,678,879,884,967,929,800,147,340,109,643,
417,542,918,043,412,045,600,932,075,913,002,499,209,725,845,457,912,828,561,
317,913,863,102,200,645,465,572,110,481,827,150,661,996,212,493,631,329,565,
571,404,293,701,457,469,898,073,997,593,576,599,243,599,539,063,479,899,412,
652,597,460,448,066,696,233,564,705,477,265,292,281,517,666,123,779,056,864,
270,561,716,231,022,922,481,155,629,328,274,795,282,766,184,387,539,208,029,
355,371,050,745,262,954,070,726,760,098,699,455,950,402,439,010,752,503,339,
627,466,136,339,180,474,337,078,350,947,970,000,781,696,427,915,666,908,187,
145,527,607,632,855,806,957,866,878,768,115,637,668,604,767,406,173,905,535,
334,621,977,696,377,453,070,558,038,496,342,226,622,421,933,795,090,222,580,
947,199,611,154,110,632,323,533,586,829,119,262,091,598,916,991,501,248,577,
654,168,770,041,963,565,226,013,697,305,290,420,158,637,333,724,946,268,348,
222,782,606,620,805,090,598,018,839,124,024,694,525,467,329,243,943,416,765,
469,231,404,093,741,021,087,984,842,976,339,791,325,934,200,047,126,798,768,
908,230,189,058,753,349,865,780,857,538,183,459,344,158,448,727,873,301,338,
137,429,709,730,151,304,735,717,225,922,953,808,834,739,290,820,616,683,381,
772,616,166,254,873,277,710,801,735,602,467,787,016,327,769,063,072,820,808,
303,820,984,096,899,813,626,503,348,289,645,591,865,999,527,034,605,280,474,
249,325,988,938,579,779,328,045,573,111,443,193,068,409,999,722,453,920,877,
690,152,435,398,764,416,802,181,013,214,517,711,111,037,466,565,875,244,132,
756,631,134,262,133,171,118,043,113,811,152,628,406,085,613,928,955,255,867,
919,816,529,360,282,296,399,288,599,625,172,188,618,765,391,677,724,641,843,
893,543,132,074,844,154,762,149,977,050,144,692,328,359,447,793,699,615,856,
191,129,699,857,148,037,997,581,198,828,816,821,374,797,964,858,391,588,154,
202,235,408,669,708,337,472,074,088,720,055,345,532,883,281,795,190,690,731,
264,263,799,023,654,741,123,770,750,654,328,237,253,742,322,596,832,601,860,
770,715,014,358,620,336,551,386,252,659,110,864,011,615,255,103,894,259,612,
461,015,301,301,356,464,026,864,023,863,327,596,050,394,240,780,470,768,377,
684,691,583,003,222,486,742,117,395,676,667,537,879,894,287,870,380,578,473,
868,303,014,390,989,023,453,541,077,230,926,122,299,600,583,706,504,784,011,
357,016,430,889,135,244,250,032,238,592,296,894,370,091,207,695,940,459,873,
907,416,095,283,478,510,669,697,736,617,470,225,694,498,207,116,895,783,328,
523,390,035,635,506,742,322,032,490,200,119,685,958,662,448,489,290,613,099,
976,669,666,598,473,282,296,665,885,394,374,537,909,616,325,690,796,596,119,
310,797,111,509,492,099,518,597,345,385,753,221,625,920,329,606,393,077,048,
406,488,282,168,878,490,364,392,460,693,161,427,889,451,193,931,710,631,975,
655,618,458,790,041,542,380,067,955,622,538,184,331,105,124,937,596,396,071,
936,309,371,464,312,980,548,662,267,808,218,408,635,754,360,265,808,295,748,
078,426,937,060,915,494,205,790,192,621,536,044,418,661,902,131,313,990,733,
273,830,312,015,188,571,605,648,241,294,588,112,472,305,136,437,184,010,815,
456,280,887,867,635,310,094,908,021,466,300,474,806,569,454,347,808,419,623,
518,136,656,597,943,554,999,109,346,625,052,358,520,080,029,983,151,484,352,
517,784,616,349,869,388,917,503,797,626,698,440,688,384,720,925,032,920,224,
578,237,590,561,273,715,633,806,794,139,821,366,092,781,403,291,955,365,517,
137,414,941,268,657,853,917,302,331,701,730,255,684,963,871,135,848,107,736,
985,133,709,943,694,584,425,135,937,345,795,726,505,338,344,237,398,315,419,
153,767,465,004,005,857,401,235,380,385,902,692,006,791,257,626,756,048,847,
083,115,740,975,577,390,715,782,166,391,521,627,471,548,859,235,650,131,336,
260,505,831,026,914,043,338,123,686,308,776,428,930,747,658,929,434,698,184,
806,484,795,023,147,163,915,459,975,311,012,989,569,792,127,744,068,429,910,
509,416,706,382,633,529,902,046,454,862,367,021,876,946,597,392,504,259,730,
012,564,627,843,291,239,465,279,196,246,125,060,349,708,175,372,896,366,078,
319,479,308,819,137,241,282,011,095,634,549,693,981,190,083,887,891,005,680,
611,568,909,171,119,588,348,073,845,860,854,780,744,270,745,500,990,530,520,
099,084,151,800,968,679,517,496,750,580,523,504,953,498,187,488,314,689,963,
390,895,889,356,891,337,622,752,197,491,436,063,253,363,511,059,074,063,419,
227,618,733,399,447,373,024,839,886,312,365,241,564,711,834,937,203,505,221,
927,577,030,884,912,923,269,820,576,524,068,458,550,329,041,782,280,397,671,
075,591,563,194,892,871,364,177,013,834,241,160,613,071,837,713,645,161,160,
775,488,772,363,356,601,515,010,752,233,021,250,894,082,967,407,930,972,728,
053,086,031,761,681,129,276,255,891,784,544,874,752,600,588,017,505,247,108,
047,844,245,557,900,403,089,523,775,251,926,471,928,876,538,057,174,451,745,
881,199,515,290,469,771,271,010,496,001,724,372,278,875,546,276,135,997,262,
041,103,674,730,608,966,984,636,722,750,711,109,652,799,703,136,889,877,612,
487,088,049,050,037,493,981,412,869,902,921,351,470,986,627,407,025,765,238,
078,859,687,258,395,036,967,813,649,218,653,993,447,845,579,588,104,722,276,
402,603,667,867,749,239,550,546,606,056,898,819,008,298,411,441,868,641,202,
367,286,489,544,783,965,297,640,525,607,026,171,556,980,401,710,199,077,833,
011,754,335,162,917,436,305,744,180,160,142,484,489,550,120,788,344,546,367,
107,162,107,022,959,989,364,498,309,710,679,751,976,378,892,778,564,585,959,
503,916,915,893,753,562,605,093,416,066,128,302,202,454,602,441,711,438,774,
224,156,961,883,333,825,163,108,024,265,444,812,819,083,172,955,544,408,250,
012,964,026,551,071,183,941,631,955,258,399,504,112,318,635,283,085,972,277,
365,428,007,110,877,510,450,844,631,006,901,364,378,711,524,998,161,664,762,
672,162,147,560,774,481,456,912,415,279,898,551,454,184,165,157,892,404,519,
895,122,220,326,257,327,080,541,927,021,892,967,353,337,520,933,188,427,821,
569,640,758,623,562,795,050,046,986,847,643,395,254,763,058,541,620,412,781,
383,545,892,909,583,385,960,979,988,854,835,734,784,794,607,074,205,074,176,
002,123,976,250,267,496,212,389,129,721,435,408,721,312,381,764,376,373,601,
592,523,805,991,717,564,789,525,388,813,566,065,292,965,969,186,501,460,971,
094,892,437,073,973,617,091,916,662,067,348,683,077,693,356,104,129,910,170,
011,953,243,756,490,544,073,968,016,115,971,938,843,852,945,030,404,183,202,
249,832,436,202,521,750,346,587,411,424,000,868,396,323,911,002,008,521,411,
287,036,040,237,052,141,256,608,138,586,014,930,923,833,942,060,806,430,473,
686,760,935,919,674,338,116,420,652,744,353,776,650,191,230,877,315,923,620,
091,581,753,511,898,324,017,759,188,247,476,226,357,770,178,361,202,521,456,
135,649,186,966,348,740,896,537,621,781,140,655,795,543,021,158,490,644,408,
278,546,571,623,726,517,682,026,524,968,936,503,265,344,987,851,875,723,782,
930,709,816,469,748,330,409,348,371,885,178,728,254,463,998,155,128,682,161,
405,952,043,164,079,671,410,722,894,451,380,948,698,841,478,297,179,590,176,
004,422,484,347,101,018,694,106,349,187,379,989,343,014,722,066,214,003,585,
869,011,589,481,740,070,879,902,582,649,912,475,683,880,307,117,498,107,860,
583,419,876,463,874,266,322,607,380,498,780,591,604,732,533,521,812,208,521,
768,202,279,536,091,628,598,115,449,848,558,168,503,083,112,369,334,666,546,
169,900,507,275,288,616,642,069,253,414,317,656,297,287,387,977,356,124,251,
775,473,213,677,939,754,530,702,102,405,534,568,132,539,677,854,632,785,450,
120,981,246,909,672,023,638,275,444,977,761,556,408,509,003,565,628,871,118,
635,426,608,709,171,195,838,124,287,527,408,793,180,480,636,663,671,967,384,
653,074,691,839,143,896,640,749,953,345,415,460,267,321,875,650,609,829,772,
624,693,891,065,704,323,218,957,644,567,747,378,032,233,348,300,137,284,029,
337,883,888,943,202,080,873,630,328,350,004,232,127,818,304,356,416,118,149,
072,867,037,666,185,814,286,955,047,008,373,556,418,858,775,548,074,629,072,
775,797,953,572,062,592,094,535,847,423,702,608,385,361,438,592,287,792,138,
178,924,971,975,210,697,824,752,123,273,994,375,776,232,254,537,086,289,431,
588,136,974,840,791,744,961,436,108,340,655,401,621,686,961,347,898,459,664,
239,711,069,273,205,703,716,270,953,944,412,385,270,156,831,493,726,141,378,
212,939,683,621,059,537,885,435,260,900,539,521,627,266,298,073,078,456,904,
730,460,247,016,870,142,851,227,181,690,363,823,916,810,617,178,393,452,698,
792,394,552,261,623,795,895,934,339,574,748,692,257,807,117,481,798,330,754,
271,579,222,619,656,275,782,729,848,210,745,386,967,026,068,143,626,149,560,
987,838,056,639,970,257,507,914,560,223,015,212,865,436,111,061,054,347,236,
680,363,505,314,651,015,297,360,597,952,918,111,943,228,090,847,056,963,291,
790,884,460,657,076,036,507,873,577,668,957,371,760,190,055,898,288,649,672,
067,047,949,079,861,154,188,961,767,787,647,983,773,595,284,204,603,222,005,
115,807,740,693,037,312,277,283,679,186,535,861,227,432,536,490,247,775,347,
554,956,933,457,189,343,488,903,390,872,895,764,540,329,753,334,146,057,428,
274,295,655,431,306,552,726,296,303,495,560,379,074,944,485,578,064,708,582,
733,173,392,542,217,035,796,924,839,560,159,857,525,498,485,378,808,108,820,
159,913,197,771,379,538,624,800,647,267,357,052,598,989,369,837,227,455,665,
168,970,228,806,110,703,547,631,186,214,841,983,822,281,951,431,733,185,744,
293,932,507,759,268,609,386,335,943,448,429,886,821,285,650,237,506,795,108,
905,150,130,942,335,820,489,982,430,708,757,013,272,823,801,788,119,374,198,
488,455,389,935,880,777,494,635,588,898,691,092,423,106,902,756,202,539,361,
849,972,109,271,427,321,627,408,529,116,725,190,577,256,666,506,532,496,124,
078,991,651,010,768,535,205,289,770,187,875,394,851,273,623,824,771,451,998,
634,016,095,388,553,844,898,175,647,438,717,450,814,555,944,334,798,620,703,
659,608,305,915,667,005,563,598,629,466,866,136,250,552,262,718,929,136,191,
850,656,195,507,042,380,584,632,178,584,469,676,199,394,949,946,166,180,255,
369,808,031,063,530,928,375,946,278,805,508,012,448,075,923,437,169,100,747,
627,123,374,702,676,593,939,405,450,952,446,000,059,040,908,950,318,073,296,
130,776,709,317,101,099,898,235,620,346,694,562,745,720,751,161,279,887,073,
072,571,683,053,025,212,744,048,047,677,528,222,737,129,641,668,575,496,625,
545,172,771,148,563,404,608,895,888,299,785,773,946,610,762,932,794,038,228,
290,538,029,266,067,869,098,612,015,906,004,900,168,804,418,651,730,466,429,
422,564,968,402,690,135,990,818,925,292,947,422,268,876,281,830,501,189,881,
444,001,174,167,002,692,318,484,595,851,701,378,741,461,448,399,505,829,103,
489,962,396,482,667,287,421,761,451,135,216,162,325,724,086,735,858,819,338,
582,205,529,042,145,496,168,024,986,527,897,989,112,036,190,182,457,677,753,
050,015,570,198,219,918,222,378,325,499,378,805,928,100,919,061,579,682,873,
892,993,979,306,183,111,947,877,480,972,333,038,345,808,400,987,409,462,590,
422,869,591,639,632,321,382,392,542,546,329,056,441,303,836,043,154,810,450,
200,670,211,906,100,576,602,536,895,743,342,344,690,804,878,577,656,246,515,
151,494,400,128,517,371,171,829,793,444,902,503,295,738,219,900,419,589,087,
609,678,359,250,275,669,998,637,298,772,878,509,149,310,157,185,538,235,467,
035,212,726,238,928,767,198,460,939,996,808,481,903,757,596,512,232,271,265,
412,549,041,169,168,569,370,457,536,675,462,483,012,819,401,825,773,375,210,
930,419,862,563,338,177,059,783,999,328,105,509,424,436,802,234,279,763,356,
002,379,633,631,115,873,077,532,554,675,362,198,700,590,615,427,601,384,030,
223,163,531,110,827,154,080,119,682,512,181,421,179,059,254,423,348,278,521,
188,923,023,460,068,926,548,488,023,290,733,634,754,673,924,370,568,373,521,
452,501,389,814,969,276,548,002,300,907,621,095,224,680,393,576,345,755,599,
053,181,771,057,090,143,229,524,882,192,008,163,439,600,797,938,565,736,270,
057,675,015,217,969,416,756,948,166,405,821,242,127,425,292,242,207,375,230,
565,699,052,977,859,278,603,871,624,859,035,013,844,631,088,077,553,259,882,
479,555,332,880,046,127,702,537,980,697,998,876,611,025,380,267,864,287,512,
588,975,419,562,082,385,027,234,173,201,072,144,410,124,816,496,457,727,492,
032,092,988,942,190,031,089,431,335,973,011,545,689,979,989,264,784,338,136,
139,871,773,525,257,621,452,246,932,554,876,855,527,034,870,621,135,783,881,
082,857,894,901,749,033,282,748,361,984,831,126,663,039,945,140,036,842,157,
611,992,501,972,820,664,455,338,025,071,631,830,505,474,107,131,849,333,487,
617,507,929,368,707,270,427,959,208,568,323,930,922,469,980,353,159,830,478,
936,469,615,634,710,503,987,907,730,340,290,375,578,580,922,051,444,765,736,
616,966,151,555,505,769,400,229,263,365,077,489,146,921,212,160,903,298,435,
004,754,172,966,581,525,788,546,501,993,834,885,462,334,114,916,266,779,800,
408,845,327,064,302,433,854,371,511,087,085,080,123,820,723,941,315,209,956,
119,077,672,233,975,961,009,250,745,590,517,054,276,842,733,765,165,715,765,
243,569,470,818,982,145,963,210,165,782,959,545,809,645,096,659,979,116,730,
560,116,788,304,150,029,330,468,057,516,870,719,866,739,919,058,933,479,533,
677,579,243,796,429,824,032,499,782,771,061,241,066,567,509,560,727,398,096,
668,932,238,165,877,800,668,189,221,119,785,529,685,065,588,681,346,449,971,
954,636,248,074,598,669,504,479,673,467,641,996,074,415,288,556,417,128,154,
913,555,725,610,143,304,131,296,823,166,918,077,044,689,472,352,832,071,096,
612,729,344,101,469,852,338,069,482,547,480,271,005,638,116,642,903,746,848,
135,690,012,114,732,957,075,246,931,936,135,596,934,842,743,778,759,838,703,
761,769,275,670,409,641,522,533,200,168,111,464,986,408,583,649,594,434,251,
201,484,304,538,216,350,811,927,066,179,549,968,773,269,864,036,532,761,105,
843,589,237,242,921,536,169,831,767,513,410,852,121,108,622,180,095,402,761,
321,635,958,260,365,883,128,454,663,611,285,934,442,091,785,883,877,305,722,
616,277,983,131,582,549,514,625,058,131,463,347,461,007,646,572,145,630,090,
657,018,217,515,701,504,053,090,214,937,387,736,331,382,644,994,717,414,683,
621,685,827,838,305,772,231,454,330,337,636,358,066,995,424,780,733,703,618,
614,421,211,978,984,444,229,060,535,511,494,846,237,150,389,189,763,540,974,
352,274,312,609,328,319,759,272,360,762,483,292,793,335,426,870,465,098,737,
596,428,145,214,571,378,401,000,384,516,249,055,272,776,393,294,389,971,949,
863,938,123,993,395,515,134,062,051,242,141,250,489,286,672,216,925,337,981,
790,871,295,194,895,061,385,128,376,784,689,248,289,276,801,053,419,319,963,
070,690,545,634,557,988,411,703,084,753,190,729,808,171,987,331,404,984,222,
294,070,329,723,506,645,162,124,024,501,063,325,250,780,636,540,967,458,836,
213,807,632,776,352,005,556,445,373,427,144,809,061,340,482,294,643,010,988,
717,261,840,414,601,805,890,759,241,408,482,427,393,160,620,826,077,909,295,
495,013,390,670,752,633,198,389,716,740,803,880,033,158,539,367,154,007,463,
469,030,195,199,850,625,073,625,115,005,446,748,957,660,211,480,033,696,759,
521,955,542,216,411,157,781,488,325,852,465,379,489,996,207,406,114,273,384,
476,601,539,576,292,060,585,815,674,635,663,649,152,158,706,916,609,330,426,
943,654,370,309,955,418,286,569,343,217,351,244,446,510,814,244,876,370,055,
540,744,447,028,922,915,996,904,542,411,132,180,157,542,855,564,840,679,904,
418,877,552,340,600,515,273,796,104,589,509,115,325,850,795,999,391,559,864,
236,560,506,459,338,649,157,907,448,420,226,020,669,908,085,326,494,175,454,
843,161,000,648,554,144,734,103,273,460,816,005,952,690,866,084,408,426,701,
489,280,597,047,033,980,800,854,290,980,119,728,285,057,966,742,278,552,439,
107,045,348,830,512,326,736,581,236,970,769,225,001,010,498,255,479,213,050,
291,239,802,893,774,517,238,197,918,348,419,614,081,607,182,979,692,257,163,
823,030,656,955,840,745,437,535,677,864,738,473,463,298,696,525,419,653,883,
115,942,894,882,410,846,738,867,393,498,122,921,452,007,221,601,958,231,751,
994,557,556,563,998,011,452,456,930,315,070,392,031,913,532,342,040,845,293,
284,721,210,325,596,202,899,943,932,046,907,916,241,755,189,019,779,758,807,
048,223,255,943,431,986,045,276,235,570,518,694,936,741,195,243,997,036,668,
474,221,520,240,932,434,035,921,056,147,470,738,871,459,753,334,862,157,652,
392,648,135,077,942,167,616,941,513,670,570,722,018,141,821,618,646,304,305,
787,901,391,759,562,213,557,887,638,245,006,157,380,611,497,237,179,168,512,
778,289,208,106,087,188,747,789,967,586,707,424,934,759,720,830,268,190,100,
983,746,222,450,644,101,924,438,035,198,051,245,442,846,613,291,566,118,003,
481,687,482,515,492,289,370,435,217,655,548,336,537,779,823,695,811,197,787,
590,157,786,416,424,488,431,399,438,470,246,496,323,393,319,947,962,636,753,
144,356,258,442,524,491,328,620,866,659,425,827,324,717,529,792,544,562,453,
286,327,821,431,171,768,016,709,567,326,164,733,413,582,611,009,468,234,986,
826,148,351,216,854,846,286,152,051,893,301,003,543,002,461,398,872,821,253,
931,623,874,462,521,601,991,535,472,178,432,014,328,319,565,649,997,088,077,
941,669,078,002,568,159,607,236,614,261,035,657,081,621,030,104,852,345,957,
307,557,892,703,305,219,441,879,720,233,598,156,992,270,888,500,488,923,895,
524,462,496,155,382,568,084,112,473,864,742,181,575,271,375,065,898,210,675,
729,809,098,345,838,192,524,805,528,649,178,606,503,816,895,521,242,602,068,
708,749,040,871,293,275,708,961,022,478,340,341,703,432,168,094,527,762,929,
298,944,694,303,911,914,187,520,283,631,045,588,457,774,037,155,673,710,690,
830,716,695,611,662,245,120,643,505,778,466,396,952,776,313,765,472,012,091,
418,670,857,240,151,606,970,213,301,510,860,683,254,178,369,484,930,013,066,
213,511,533,014,536,144,549,178,365,478,811,895,982,440,801,811,571,555,910,
580,988,981,184,656,452,375,707,010,605,199,605,599,092,916,329,049,518,069,
120,224,525,824,632,234,868,314,706,418,355,577,533,561,597,381,377,649,247,
223,581,214,388,942,383,703,725,217,134,453,236,631,634,927,472,687,773,911,
363,498,652,404,464,091,874,028,000,161,396,036,449,723,962,333,472,943,414,
653,032,862,984,748,757,820,049,591,617,714,932,653,782,753,249,204,244,938,
427,989,452,792,306,360,532,688,120,037,941,353,501,760,776,975,619,502,600,
273,717,979,682,392,239,956,567,342,053,604,141,781,623,211,130,725,425,019,
208,477,806,108,553,992,429,636,177,298,851,066,303,746,948,332,610,809,231,
473,696,998,095,085,413,167,002,956,648,758,530,180,085,599,455,274,521,249,
582,083,774,477,342,389,506,246,787,827,482,038,495,438,541,673,094,154,755,
278,701,378,207,900,026,350,844,529,538,549,433,084,386,649,410,607,628,298,
800,676,749,511,708,800,927,530,823,632,566,342,898,329,772,789,430,686,614,
458,185,486,932,948,937,362,788,599,134,061,294,417,650,962,923,858,103,295,
482,235,598,102,228,602,114,427,348,965,822,262,741,186,876,434,482,359,020,
153,061,740,491,305,238,610,215,951,733,217,425,278,129,136,892,646,140,626,
131,205,140,962,609,921,737,360,803,047,469,194,268,866,075,245,455,985,921,
714,302,791,105,608,741,323,571,243,323,989,106,257,715,542,155,231,072,259,
464,564,398,858,119,915,159,512,099,645,590,520,632,900,129,997,362,711,120,
721,052,946,780,617,359,839,024,503,074,701,025,163,987,355,453,355,871,238,
389,871,763,771,477,654,469,424,234,324,774,796,598,347,061,264,084,008,392,
718,081,984,315,340,258,113,046,103,020,663,595,229,842,272,199,729,321,618,
052,547,543,357,972,958,758,794,443,297,076,330,265,902,800,552,327,572,088,
274,682,977,129,048,174,085,309,788,827,554,971,246,008,548,490,051,641,034,
242,808,034,869,915,975,677,065,849,779,206,777,714,366,974,297,983,085,634,
645,780,651,198,902,333,018,413,236,961,433,369,944,181,620,672,746,526,817,
250,564,314,968,378,846,622,675,354,227,947,210,742,602,614,493,136,820,503,
630,844,660,258,741,275,095,910,399,643,673,883,349,959,321,328,574,893,179,
022,451,529,481,741,838,311,546,191,798,500,226,290,234,368,088,043,317,715,
250,790,718,941,569,941,993,749,086,663,310,572,085,231,773,346,193,493,229,
022,238,102,203,299,199,494,089,687,108,293,139,069,842,182,305,914,695,481,
222,711,239,660,573,801,525,437,725,766,313,800,792,107,940,006,652,022,915,
404,487,914,975,096,140,796,403,260,943,311,374,585,175,599,062,242,070,718,
753,709,948,844,286,451,815,113,193,591,432,401,273,206,595,466,480,297,089,
798,775,219,294,975,081,781,474,768,120,796,305,369,706,462,511,491,962,884,
827,902,211,260,444,772,004,314,496,251,923,629,912,374,088,814,633,752,131,
225,853,678,528,116,664,618,749,076,702,705,974,558,659,259,757,584,047,709,
489,764,519,791,247,777,004,633,375,665,235,296,824,671,257,054,934,993,668,
607,031,553,731,095,964,406,831,142,364,397,320,586,012,391,846,435,677,842,
179,664,010,062,030,311,975,920,072,696,529,982,974,600,514,770,337,815,510,
896,487,505,074,294,244,494,194,138,413,721,933,821,260,975,223,697,194,586,
729,379,116,854,638,532,964,080,750,454,002,289,024,689,315,494,400,022,982,
217,369,185,640,679,425,756,820,550,900,110,290,309,086,539,764,974,612,236,
063,956,365,605,496,092,631,117,786,697,988,710,862,715,795,629,473,784,858,
689,780,423,861,461,726,376,158,684,807,323,707,169,998,318,835,786,421,618,
703,756,059,441,159,535,490,138,349,874,449,498,757,808,113,159,369,223,218,
379,678,787,734,691,074,521,845,237,007,186,583,739,832,034,105,066,377,419,
698,534,398,515,113,724,326,257,500,593,601,124,131,430,780,663,276,927,357,
048,335,125,856,543,692,160,036,558,606,171,455,372,310,502,788,616,281,488,
099,018,151,308,168,894,089,348,172,260,138,602,396,402,031,893,802,930,108,
937,130,080,520,735,440,159,956,696,772,758,855,437,706,244,405,814,117,105,
018,617,998,453,271,268,117,969,105,457,304,533,294,203,369,824,363,952,584,
098,898,055,161,607,497,220,279,033,356,719,476,632,535,117,785,998,664,410,
755,831,715,922,069,151,091,390,532,287,831,748,419,828,319,444,551,386,333,
153,471,929,399,033,367,553,866,085,810,596,501,076,505,206,624,766,879,798,
129,441,502,886,763,339,978,166,490,441,901,938,052,441,175,221,134,651,947,
854,085,485,529,738,878,346,331,830,587,189,305,493,274,098,218,014,091,501,
940,437,711,683,996,722,784,617,617,069,008,690,209,049,581,957,165,456,829,
533,519,255,862,034,115,824,326,371,214,931,269,735,256,013,709,940,550,891,
200,063,893,066,375,866,180,251,930,395,810,880,447,236,068,124,795,411,055,
083,173,301,956,626,576,179,577,042,568,048,552,717,749,443,225,894,533,795,
558,835,911,428,671,825,428,793,294,758,024,836,289,038,283,807,778,078,133,
352,786,972,287,455,141,255,571,970,754,656,183,186,572,909,488,048,690,339,
355,707,100,337,050,530,887,726,896,827,498,904,563,802,633,127,378,253,907,
223,947,569,544,650,355,287,483,079,511,757,229,232,060,610,807,660,963,531,
313,662,191,047,968,577,787,113,668,770,717,948,428,873,743,473,572,595,618,
527,180,852,642,813,987,492,670,257,141,547,565,896,517,509,749,415,174,026,
441,215,685,542,917,746,970,364,724,960,681,731,898,756,685,167,734,176,822,
757,810,118,162,298,034,425,018,783,419,611,153,853,157,510,278,120,587,298,
894,657,764,030,659,645,320,997,266,960,096,974,877,077,127,314,414,231,906,
135,729,647,876,134,425,411,503,319,557,363,090,508,723,825,660,432,685,616,
708,769,834,061,247,064,901,771,864,288,472,946,528,977,541,491,060,325,555,
902,396,422,137,765,612,635,185,752,716,579,552,650,598,923,014,854,529,584,
458,436,053,741,013,190,693,585,702,015,400,346,003,485,720,967,840,051,343,
186,248,421,141,371,658,187,176,452,226,986,613,550,904,783,947,967,751,610,
915,370,564,732,767,545,344,890,125,470,035,996,065,579,863,022,448,612,287,
004,592,597,797,330,066,966,756,280,884,184,199,963,156,501,377,938,913,295,
608,316,573,430,161,646,488,176,235,453,687,467,332,645,115,610,454,586,294,
245,799,849,813,934,875,229,789,289,777,205,674,698,900,337,895,349,517,555,
228,208,405,735,370,295,168,644,390,791,147,883,203,558,626,130,380,590,353,
149,062,247,625,369,889,195,282,857,486,904,678,377,235,809,176,632,362,556,
209,087,355,509,572,251,924,337,972,910,075,769,624,612,977,726,014,650,160,
519,340,644,529,541,824,679,143,134,485,116,814,841,966,948,281,752,395,130,
331,602,756,971,502,842,133,835,025,473,495,990,012,126,566,387,521,861,977,
001,620,241,120,248,075,718,818,236,882,957,625,850,906,312,889,402,081,283,
466,328,193,949,296,470,535,643,857,278,207,971,518,458,464,405,045,541,207,
789,384,259,385,764,522,150,638,054,636,673,684,701,789,549,734,899,935,351,
541,338,131,041,794,824,586,500,047,147,041,518,946,262,158,530,202,724,991,
472,803,405,679,474,725,262,154,523,542,591,434,418,018,522,055,242,073,978,
666,331,748,748,305,735,949,607,890,833,731,790,535,006,638,944,088,371,211,
642,130,371,761,076,416,734,212,841,034,361,845,048,542,572,397,862,896,092,
279,256,533,972,917,572,670,739,509,316,856,878,859,102,762,092,933,187,178,
264,227,811,980,095,795,563,152,367,716,351,297,053,055,694,119,142,168,294,
408,736,645,734,268,621,861,495,848,085,502,350,487,736,142,410,259,505,232,
870,770,263,997,342,581,329,405,305,077,449,134,048,858,812,725,600,362,070,
139,800,110,157,065,193,441,609,197,369,928,183,100,740,589,531,047,360,630,
846,411,273,662,947,831,854,399,056,925,749,008,899,290,487,482,883,928,071,
254,148,100,448,364,768,586,231,042,646,618,057,569,424,981,218,693,665,683,
674,864,043,748,761,688,153,668,316,080,185,596,560,607,150,506,981,357,568,
580,510,719,111,861,411,805,868,920,213,141,806,292,309,498,033,918,124,238,
031,668,630,735,862,188,558,827,642,180,267,448,604,818,914,261,682,028,778,
246,785,126,147,545,928,690,032,798,184,229,601,638,613,307,299,833,518,957,
092,083,131,539,048,141,125,703,565,932,239,656,163,136,181,665,442,181,894,
092,977,999,542,893,764,475,255,146,607,787,435,024,356,371,285,772,267,948,
934,811,638,634,164,481,325,370,828,359,730,373,437,479,197,383,005,480,612,
076,440,806,319,614,224,980,442,358,219,201,968,875,811,122,967,277,634,724,
717,935,730,073,729,516,056,077,243,140,481,805,240,211,800,305,128,369,416,
322,469,650,733,959,189,546,118,585,763,671,740,757,566,728,851,315,739,044,
395,593,517,293,510,813,065,483,593,246,395,009,841,026,419,723,735,897,443,
293,293,528,959,783,223,241,753,704,951,629,033,139,812,340,220,181,938,545,
668,304,367,530,347,225,537,837,836,777,549,955,748,534,814,311,888,925,869,
979,152,556,911,514,780,763,972,033,373,447,151,244,130,934,914,164,929,883,
294,193,282,889,153,072,716,892,227,631,487,811,519,637,605,851,896,323,265,
323,675,258,563,965,106,584,535,154,813,385,039,565,146,380,128,873,663,709,
248,537,929,634,431,051,935,589,227,001,611,957,345,330,835,933,804,509,354,
183,865,824,577,983,808,327,307,771,350,321,442,075,663,823,431,824,706,478,
850,872,239,551,884,294,556,235,180,826,156,796,509,590,082,155,762,145,080,
430,921,115,306,820,780,550,155,204,555,166,449,672,854,305,458,823,298,365,
555,527,252,231,230,162,429,122,349,621,748,142,844,978,714,267,559,427,642,
157,124,309,086,873,912,668,699,969,427,072,052,918,893,223,813,873,372,814,
172,487,559,286,433,210,798,873,742,794,770,696,656,911,418,746,381,992,956,
631,688,545,732,149,544,116,408,846,553,394,825,332,825,864,354,819,667,624,
745,117,652,133,919,076,001,198,193,232,228,202,987,308,241,079,867,428,467,
064,120,895,279,765,749,306,910,086,675,598,754,160,392,681,158,737,983,655,
902,197,455,168,622,137,698,462,923,163,845,642,801,898,430,794,350,476,587,
551,230,290,905,021,807,040,349,724,302,120,904,657,895,226,807,475,612,082,
823,450,595,977,224,495,987,397,228,348,149,817,179,127,149,655,256,968,286,
835,922,916,748,211,342,758,479,735,849,050,427,046,366,784,252,663,349,236,
786,640,966,104,907,662,695,064,773,314,225,985,307,939,868,161,320,761,306,
905,841,408,545,582,569,906,712,439,346,992,089,303,159,475,720,347,854,324,
747,383,247,563,595,024,496,071,656,229,701,721,209,531,167,509,450,005,597,
460,845,286,177,198,428,185,074,252,688,911,678,813,284,367,171,205,831,137,
682,188,534,496,993,583,962,692,974,240,706,349,596,674,186,807,423,232,918,
110,845,361,456,187,987,661,706,499,477,189,350,975,854,394,735,712,776,064,
306,052,690,056,198,586,633,235,688,146,734,585,053,655,592,146,268,647,353,
837,499,117,018,883,756,488,017,100,724,731,419,415,873,280,815,364,970,925,
340,900,393,022,106,600,893,026,529,449,252,841,078,672,114,706,823,505,072,
841,258,163,893,116,130,877,431,430,444,714,725,261,219,038,294,732,309,033,
061,907,154,121,832,360,238,812,370,997,957,868,373,486,586,150,726,876,547,
962,033,864,901,097,117,172,458,053,016,772,164,280,131,392,137,937,173,045,
807,390,880,801,802,658,420,613,027,814,318,262,178,612,882,045,378,198,891,
168,448,911,717,068,357,926,042,821,420,962,933,317,460,232,071,728,021,420,
310,426,790,659,865,982,786,254,612,967,087,191,915,245,887,460,239,707,366,
783,602,848,603,579,606,075,277,847,746,915,140,217,474,575,135,668,704,164,
434,051,141,548,280,677,463,738,854,838,541,530,516,832,888,788,729,733,360,
404,516,886,265,681,306,200,854,384,129,943,982,333,063,024,342,971,623,097,
906,894,222,060,506,774,789,523,932,589,329,728,093,917,727,765,170,916,662,
130,968,625,182,980,759,352,041,121,634,758,360,617,745,279,846,351,589,353,
084,915,752,621,273,338,487,310,816,280,487,188,854,995,419,952,548,707,586,
265,210,141,477,857,385,248,171,302,959,240,240,662,108,710,869,801,756,724,
524,841,582,534,509,332,143,227,979,363,759,385,988,341,481,281,238,247,740,
358,244,153,545,202,926,131,104,636,126,028,949,471,545,506,641,387,552,037,
210,394,497,819,809,682,770,324,965,463,253,157,897,337,551,679,506,904,718,
213,808,882,611,863,950,510,061,120,789,344,085,200,700,047,582,338,618,964,
684,193,972,230,694,931,911,972,914,759,219,657,458,872,590,488,661,369,158,
655,099,565,760,022,845,709,793,252,435,356,491,525,315,005,998,136,001,246,
599,224,808,346,940,006,029,583,376,219,412,407,425,447,785,197,778,014,002,
403,841,242,953,529,440,865,079,717,159,333,550,612,650,356,031,488,971,970,
550,737,666,726,629,947,310,773,222,514,988,853,445,223,230,991,867,865,706,
223,179,725,390,183,359,290,569,694,733,023,687,531,285,049,051,560,947,735,
039,703,516,367,085,178,476,118,864,266,265,285,327,622,731,261,764,679,474,
260,802,828,837,638,964,021,948,629,781,943,950,128,849,260,257,423,771,507,
106,966,117,060,313,483,180,693,298,862,946,214,835,547,028,218,019,092,691,
838,834,674,079,948,416,274,644,295,995,299,164,213,813,735,165,332,777,885,
599,637,708,239,662,939,464,333,140,618,745,435,783,617,031,315,094,996,376,
010,971,322,536,527,717,934,556,970,340,929,282,843,858,296,379,548,561,466,
193,655,775,099,753,202,970,989,391,018,770,703,119,978,538,026,934,158,229,
481,945,713,076,893,043,677,786,992,761,544,624,875,847,607,308,174,247,166,
665,128,071,518,221,953,729,464,794,800,053,375,886,607,881,589,955,723,398,
570,974,823,955,832,445,531,034,960,983,057,571,440,381,420,183,393,910,169,
298,115,106,483,891,984,032,707,589,456,398,283,753,210,618,553,927,154,886,
959,850,870,439,762,112,058,445,586,716,154,220,370,281,024,094,345,078,406,
081,540,786,973,378,378,506,235,008,074,818,645,375,745,912,060,021,528,146,
270,483,241,527,553,984,486,838,827,508,280,552,074,615,073,380,719,077,588,
497,291,787,026,278,997,466,700,400,276,718,216,424,270,948,354,034,297,901,
496,331,744,843,852,210,901,281,543,186,207,517,900,545,434,805,335,542,123,
220,010,848,907,655,306,142,874,887,749,941,653,370,690,836,606,439,990,765,
152,748,372,954,672,020,803,500,108,961,781,750,588,208,072,832,147,869,723,
129,183,212,108,716,422,110,521,226,567,507,762,210,141,812,878,608,911,094,
815,224,879,118,921,174,937,551,440,341,306,655,632,563,265,543,524,510,982,
798,806,870,955,187,213,818,225,402,827,972,131,998,687,893,343,290,924,272,
272,629,738,528,850,539,846,584,479,650,761,941,669,295,256,777,240,627,901,
580,322,122,389,244,183,742,420,137,442,488,591,993,676,597,641,196,553,375,
645,071,073,643,626,377,757,268,099,616,070,230,412,703,246,847,596,714,210,
685,377,305,769,434,741,414,967,383,895,976,713,973,338,545,557,914,946,594,
783,552,693,452,783,936,433,803,918,617,262,591,230,687,905,427,476,291,620,
601,743,189,747,002,009,768,458,908,749,413,342,168,021,334,012,568,502,375,
235,381,326,549,454,984,748,421,923,702,684,780,122,581,295,959,964,581,748,
284,095,554,020,870,641,261,989,753,555,873,656,149,810,934,317,696,032,337,
951,837,781,435,889,561,680,618,345,032,584,644,920,885,950,091,554,136,487,
898,376,763,676,113,018,429,307,730,439,504,689,257,504,289,612,720,911,765,
998,275,868,861,784,298,799,185,268,894,982,165,836,071,774,280,869,759,173,
527,948,316,248,175,405,911,512,572,987,898,429,274,905,092,571,191,259,079,
712,894,493,690,269,348,792,070,162,789,040,334,383,367,076,678,773,671,257,
902,844,368,115,359,640,212,974,464,253,378,567,585,289,636,154,076,432,508,
193,324,412,855,711,571,305,306,408,785,686,039,767,487,333,182,455,551,626,
632,999,582,712,220,147,980,578,908,057,570,054,654,803,806,171,957,834,592,
604,994,357,833,229,489,709,406,690,015,224,912,701,090,868,972,724,508,525,
203,622,938,519,584,756,093,398,396,362,805,334,772,689,504,242,581,459,572,
823,621,112,567,481,711,855,076,261,679,761,362,173,349,974,178,467,417,334,
836,251,154,397,479,287,705,446,532,140,133,849,025,623,457,203,215,561,278,
451,760,362,033,882,925,587,002,962,687,866,070,461,432,442,528,100,889,983,
046,715,876,551,702,193,667,507,241,509,855,402,039,838,923,637,093,172,425,
238,551,912,048,255,230,000,665,861,000,161,536,414,381,346,859,135,504,205,
363,593,242,730,207,051,788,598,232,305,333,641,897,156,641,706,025,902,984,
097,306,516,836,375,023,112,420,292,136,853,626,626,891,508,508,160,743,334,
288,647,350,087,179,990,188,300,719,142,627,594,904,967,608,170,228,305,302,
006,483,890,265,816,368,416,788,554,534,698,113,078,214,849,108,845,567,712,
889,204,588,517,191,589,702,351,000,765,478,155,276,859,720,247,383,053,878,
707,714,236,456,989,854,175,716,513,176,447,441,519,887,229,435,525,516,164,
371,208,862,704,035,031,366,637,209,070,685,245,889,426,432,707,542,987,699,
749,580,289,029,555,248,644,722,439,258,415,157,634,661,767,488,168,995,825,
656,833,968,184,843,580,082,155,332,343,349,768,850,451,572,456,600,795,376,
429,531,286,321,399,551,665,459,049,569,873,223,740,651,117,083,954,977,862,
647,256,229,307,956,423,302,269,739,044,685,262,665,863,058,694,897,799,778,
923,467,157,168,216,887,432,070,936,780,354,796,105,111,971,181,920,670,951,
745,239,346,283,501,693,911,578,533,665,668,690,513,853,469,283,709,101,911,
705,154,651,340,292,405,997,540,299,526,395,327,697,096,779,974,166,765,674,
237,836,785,468,921,019,285,622,980,822,269,854,384,204,164,806,612,864,960,
787,069,273,501,482,614,199,702,612,533,259,030,794,256,210,907,383,820,970,
548,928,390,205,727,786,309,859,837,144,266,409,077,580,494,764,118,803,800,
651,823,456,972,703,235,709,502,182,701,071,624,672,108,993,623,034,937,383,
034,163,032,484,009,097,094,953,480,939,696,837,789,816,998,153,490,350,458,
079,507,313,631,021,603,081,795,651,161,256,164,662,625,586,578,699,115,639,
009,856,760,234,087,311,790,458,613,985,992,001,364,897,237,219,852,985,191,
441,349,133,189,301,418,273,581,101,809,217,104,039,688,147,834,527,882,960,
051,085,675,706,362,677,708,911,816,364,600,264,622,985,597,680,485,808,202,
948,910,612,537,331,470,099,538,418,200,408,115,162,595,729,423,422,438,828,
541,977,295,243,649,228,282,178,070,649,950,108,486,303,899,410,884,911,509,
192,822,972,862,450,714,724,226,824,477,599,830,308,785,921,600,605,312,236,
624,015,765,657,834,888,268,307,011,220,011,946,360,957,473,648,240,524,723,
414,084,087,183,688,174,641,136,349,354,760,576,081,229,251,368,253,634,427,
084,214,296,788,173,137,756,709,142,159,611,724,033,554,251,647,998,379,757,
682,490,938,056,647,792,366,424,807,818,719,093,118,983,801,107,857,679,697,
329,184,155,961,329,970,500,520,095,789,225,724,185,241,398,955,958,082,906,
944,034,725,658,074,609,376,628,562,262,215,711,820,404,939,876,493,940,053,
741,987,945,305,264,136,943,931,028,888,671,113,464,028,344,005,530,335,442,
733,516,729,984,448,357,221,854,445,808,761,644,910,630,292,681,455,918,183,
762,082,309,523,229,339,276,026,821,466,771,219,005,911,765,798,838,693,135,
542,058,461,400,979,455,900,606,270,192,353,616,278,101,794,388,468,309,961,
042,510,816,823,016,796,711,013,167,571,580,561,688,197,425,295,249,429,642,
003,563,289,754,984,430,013,125,293,859,153,773,483,510,506,836,966,186,496,
720,331,786,940,095,301,664,758,936,792,467,931,686,579,573,413,040,140,610,
558,582,020,370,555,353,948,391,417,323,433,319,781,317,058,952,084,872,232,
774,244,361,727,730,735,820,222,721,808,505,889,192,889,837,016,095,467,236,
432,668,565,736,976,020,491,015,292,650,718,733,786,789,834,482,736,378,708,
799,162,792,944,204,138,307,368,570,954,810,863,345,466,744,390,987,895,155,
951,891,262,663,971,637,938,339,982,222,742,599,815,960,899,115,162,658,517,
975,625,575,823,973,115,180,680,539,625,865,267,377,263,908,927,002,226,491,
599,399,147,890,352,073,747,671,935,643,268,105,000,672,409,088,425,767,381,
039,015,097,339,882,177,219,448,290,306,543,588,091,238,875,571,280,949,270,
254,139,852,768,641,998,813,722,861,462,253,202,582,748,285,144,955,804,513,
887,692,797,013,138,786,692,785,655,791,011,649,296,651,119,446,026,019,137,
170,668,242,753,844,082,299,448,719,037,764,607,578,097,111,429,065,100,195,
738,631,022,900,267,380,624,603,351,744,368,133,273,849,590,061,495,203,789,
642,667,131,405,506,185,044,661,793,664,552,397,568,610,556,350,861,106,556,
804,541,439,551,896,874,552,853,917,081,297,666,343,282,995,002,299,310,148,
060,045,422,554,526,793,483,455,746,564,575,446,464,267,204,261,782,964,747,
918,576,022,818,965,467,288,899,032,923,458,669,816,483,638,615,966,719,013,
827,646,445,835,733,932,257,591,293,123,894,329,521,424,727,069,458,131,082,
175,499,755,585,656,914,230,958,108,178,797,976,357,650,715,219,736,392,572,
812,371,051,139,689,164,189,197,338,147,221,823,902,808,855,877,619,440,813,
425,075,505,837,798,202,120,990,704,536,036,011,400,265,916,402,113,027,758,
408,798,152,062,293,277,653,795,458,637,153,001,024,871,371,158,246,450,427,
760,932,290,140,413,318,679,579,951,005,157,511,456,959,175,706,260,784,671,
422,059,113,420,136,557,371,327,236,610,196,882,654,457,138,954,127,982,716,
860,635,129,847,576,091,361,706,637,401,145,637,073,139,035,985,914,948,664,
543,421,692,193,251,118,040,554,757,704,071,651,022,967,688,023,099,132,373,
515,797,915,623,609,526,463,260,054,478,351,053,643,093,184,397,640,418,993,
629,834,232,582,357,911,101,990,229,764,508,733,508,457,433,647,970,399,748,
716,448,182,729,355,643,720,091,009,032,663,444,271,756,822,245,987,820,651,
451,983,496,317,375,428,282,041,594,502,760,669,491,802,590,738,674,158,166,
306,356,419,313,793,420,803,129,057,064,789,176,313,035,839,387,341,884,561,
523,085,395,143,212,027,025,102,584,178,618,562,041,250,306,861,646,722,304,
285,760,708,951,620,920,232,514,926,511,421,685,410,732,038,374,424,433,846,
099,614,137,372,694,260,898,901,705,508,283,950,832,993,356,880,255,352,962,
274,189,564,637,978,793,869,774,183,672,586,893,408,248,971,828,147,670,938,
032,917,788,385,819,497,103,812,060,095,085,790,349,087,328,829,900,831,278,
962,399,197,800,882,785,598,585,271,635,455,601,931,672,159,890,214,701,292,
266,981,298,046,464,825,609,273,276,523,373,813,540,655,741,927,261,794,532,
531,645,584,216,128,924,293,177,067,759,961,179,697,750,897,774,756,980,294,
011,362,521,522,038,622,938,341,725,043,656,647,215,527,143,794,597,995,595,
040,553,687,175,149,035,011,528,042,086,715,766,475,348,400,399,457,628,094,
271,368,829,780,294,211,750,079,761,480,432,799,735,344,545,694,491,422,768,
345,421,672,625,179,441,628,118,352,154,187,970,728,252,015,641,994,431,414,
899,589,924,214,961,945,959,140,881,067,189,372,381,040,658,359,601,802,299,
080,328,482,503,780,058,150,802,500,445,847,859,512,169,763,397,042,042,991,
960,438,697,992,442,660,555,346,582,721,676,134,732,817,541,502,589,316,849,
287,057,001,965,654,549,031,579,399,019,492,424,209,848,571,646,197,350,503,
176,030,909,179,945,063,144,019,484,490,777,963,963,345,402,596,310,965,479,
798,915,832,119,311,518,886,805,185,620,781,163,530,336,699,353,596,785,335,
860,157,127,465,349,215,854,851,772,320,620,360,359,126,983,964,829,628,817,
255,475,544,858,936,294,273,282,921,294,944,765,788,392,819,451,451,599,982,
265,758,512,804,404,691,463,484,941,056,256,069,679,596,036,797,986,264,785,
688,912,490,271,589,881,943,627,506,794,080,583,564,789,891,919,035,207,251,
177,572,706,878,146,771,316,922,655,986,995,406,442,882,869,069,957,858,086,
644,476,528,923,407,084,355,523,805,296,097,011,434,023,443,639,657,942,615,
073,417,606,367,185,585,888,391,669,234,087,275,840,410,110,379,157,335,715,
152,949,799,963,052,288,457,516,858,922,847,789,477,505,979,656,743,892,068,
571,839,369,340,878,286,127,753,005,606,763,824,228,258,304,546,451,542,388,
523,734,926,375,477,734,886,473,258,480,728,889,605,027,927,058,992,262,442,
809,976,161,712,982,736,802,853,913,140,751,249,766,489,887,102,803,115,526,
210,261,751,352,944,776,047,948,894,738,960,789,835,213,313,587,368,741,834,
797,133,581,798,303,673,209,159,314,477,274,670,600,907,917,348,310,158,349,
006,991,184,770,069,320,206,559,308,954,876,803,909,632,813,109,964,372,354,
212,442,772,655,152,682,417,974,101,381,030,010,773,176,273,040,803,788,123,
373,661,697,522,493,311,237,741,003,371,085,834,465,149,019,579,374,691,519,
949,170,707,271,174,342,699,752,582,527,149,615,992,444,829,303,128,541,891,
771,903,645,029,397,575,396,858,359,226,720,890,771,741,369,200,652,211,570,
419,905,435,794,833,267,610,093,060,314,953,913,388,928,903,131,781,532,244,
783,626,059,741,461,869,940,362,541,336,932,897,301,627,814,010,632,660,299,
707,589,041,047,811,190,974,742,036,890,852,798,003,462,216,420,498,617,352,
048,348,238,673,335,478,645,433,697,146,263,122,019,813,827,922,981,344,694,
730,947,208,050,148,808,047,535,675,671,054,365,905,789,512,831,017,104,820,
193,934,202,565,565,107,627,432,566,025,047,524,860,484,714,506,473,583,647,
349,016,674,263,622,137,391,860,150,717,318,888,962,967,917,662,156,049,566,
244,398,767,073,677,889,437,081,162,321,155,891,928,256,080,876,752,129,045,
793,288,078,674,435,900,641,363,273,260,533,577,234,755,725,136,664,126,341,
252,100,666,797,636,568,768,691,988,819,415,944,198,341,698,950,609,631,969,
471,705,817,478,675,341,540,672,096,590,407,087,778,436,952,703,103,222,082,
788,965,617,293,429,080,045,663,383,654,473,625,950,403,884,395,710,745,713,
210,070,889,055,359,404,366,811,567,271,727,887,438,737,187,245,025,458,858,
639,476,642,196,114,997,945,081,310,138,978,891,927,508,056,741,700,077,594,
930,766,119,267,170,253,826,752,131,311,719,172,695,816,454,800,267,677,237,
393,720,976,390,641,399,433,884,223,635,160,542,137,391,180,712,001,726,019,
819,044,965,399,386,254,214,416,568,478,861,422,168,037,165,930,900,055,215,
693,806,211,623,701,896,303,274,163,499,555,888,208,562,400,962,175,864,036,
051,292,144,634,468,139,351,382,447,152,950,383,014,152,072,884,996,036,266,
909,143,263,375,277,050,388,299,292,624,367,874,474,625,187,947,006,312,948,
580,007,664,605,069,866,919,669,545,285,783,049,069,795,243,635,159,230,721,
119,333,709,237,447,931,378,460,728,349,241,909,501,551,141,886,855,753,590,
168,651,265,889,228,891,487,711,942,828,372,686,524,848,160,451,008,084,021,
132,339,804,853,709,461,513,533,126,078,691,704,179,873,132,710,458,170,500,
641,831,596,719,272,908,133,563,579,866,942,816,503,723,203,885,250,223,353,
357,335,519,291,701,711,461,647,870,020,728,204,224,484,100,262,985,880,921,
912,573,727,999,314,930,110,055,813,903,342,482,130,391,245,532,295,012,712,
754,055,578,817,875,419,165,945,555,147,587,540,962,241,999,645,234,777,811,
136,669,263,378,934,278,588,460,742,224,477,188,571,337,649,389,928,205,048,
985,972,070,944,054,614,416,834,886,636,654,658,836,116,516,867,693,815,173,
675,210,167,926,880,418,794,260,844,039,555,535,538,872,160,312,906,788,660,
995,687,204,822,056,982,249,266,415,882,800,952,822,867,637,213,438,734,065,
178,631,977,124,765,016,872,039,756,362,036,443,608,445,305,425,299,274,265,
787,202,081,076,433,956,624,339,390,299,279,023,244,269,979,825,126,943,543,
566,726,930,617,463,421,588,656,008,863,077,123,210,927,972,242,614,104,427,
430,662,236,060,880,530,915,148,533,683,313,555,567,832,677,904,614,037,844,
523,391,032,051,607,846,753,027,934,906,978,557,335,599,952,408,924,501,028,
351,525,868,179,674,613,451,503,150,013,565,880,802,154,521,260,492,307,190,
207,449,738,021,939,065,553,868,774,042,252,957,329,807,797,350,478,782,248,
395,232,658,855,673,994,122,224,213,384,439,637,564,201,782,313,731,586,662,
158,659,215,819,722,547,039,304,198,022,374,111,645,011,787,035,722,498,525,
324,969,079,062,163,768,973,839,985,557,668,542,748,711,221,965,622,637,122,
532,187,659,111,271,325,354,972,286,003,950,342,164,356,818,824,524,694,689,
068,278,553,687,989,451,438,643,232,768,289,638,666,382,514,079,263,259,692,
070,350,631,566,560,642,930,275,860,397,630,873,470,423,503,350,771,914,849,
901,393,073,565,308,059,409,721,773,336,281,160,895,358,905,929,631,575,366,
123,538,571,169,568,086,278,966,441,030,804,927,346,364,571,026,771,467,325,
588,710,276,958,692,306,920,315,893,243,109,129,340,385,480,855,096,422,164,
562,636,734,262,730,509,116,380,470,820,556,775,140,042,592,096,633,117,922,
570,978,655,236,708,846,907,225,982,982,834,182,020,874,028,053,445,650,331,
439,874,995,687,830,090,771,832,652,878,557,567,356,777,026,234,279,491,726,
783,667,843,004,977,121,553,200,157,497,267,978,039,610,440,938,894,404,611,
574,761,672,302,233,513,030,435,684,679,283,361,291,123,992,055,482,793,109,
440,346,868,660,024,300,843,924,287,412,245,206,609,658,277,523,881,877,904,
774,093,969,262,948,876,351,417,021,143,556,510,905,762,825,179,687,552,636,
957,312,607,369,580,464,677,386,685,639,174,853,041,808,132,310,169,154,881,
386,122,447,102,014,869,108,946,296,039,297,613,699,424,447,596,397,956,579,
447,072,136,843,570,032,135,889,095,324,527,588,447,016,109,525,642,734,580,
950,866,001,032,980,573,350,381,813,796,958,664,092,748,829,507,898,728,161,
266,243,246,166,687,855,460,965,858,522,382,947,746,089,066,118,050,887,603,
364,945,913,247,971,016,518,208,611,368,580,287,380,492,171,543,564,276,063,
242,603,981,620,306,638,960,059,141,635,587,080,652,048,070,309,573,644,960,
974,304,765,294,489,805,644,009,149,380,412,744,434,335,788,531,448,615,668,
339,639,224,504,600,753,391,112,937,184,514,091,011,409,592,170,046,971,014,
181,758,291,605,522,497,183,713,964,678,147,053,843,762,609,743,602,222,599,
173,267,597,030,618,930,039,871,795,329,290,695,126,504,035,796,207,322,872,
239,678,830,487,151,708,908,826,860,788,679,682,648,137,792,670,671,298,701,
625,543,725,192,168,158,735,500,185,228,746,974,766,728,055,020,873,990,563,
128,931,731,004,957,443,667,616,687,292,272,347,298,576,457,038,650,307,867,
579,249,621,148,771,697,360,108,829,979,405,629,339,135,172,713,248,496,918,
128,840,295,696,240,194,914,254,553,809,499,663,147,886,687,789,134,197,971,
533,221,571,613,513,601,249,985,842,877,998,886,880,388,633,630,783,080,714,
161,861,591,313,843,537,816,229,024,697,761,050,381,945,953,083,451,554,240,
721,325,156,776,224,683,474,371,218,003,564,684,825,675,207,319,788,770,230,
565,134,023,461,410,758,628,504,949,413,607,342,180,618,544,928,997,425,036,
739,488,502,646,188,691,476,443,535,260,777,298,389,719,945,679,664,652,686,
897,283,782,894,465,532,368,800,317,132,975,180,294,723,304,631,700,976,043,
556,132,370,719,723,824,367,598,047,370,292,030,711,619,723,160,844,409,697,
072,730,315,755,957,901,149,619,949,235,072,448,476,167,026,872,411,971,952,
427,522,518,987,177,005,093,237,385,130,508,246,884,584,955,706,078,831,589,
305,775,205,052,009,228,555,670,097,845,491,202,801,727,328,259,185,355,466,
639,047,254,827,811,330,095,199,161,518,433,943,608,839,798,222,241,445,371,
683,255,939,281,765,234,665,137,137,624,510,309,155,735,971,203,001,240,594,
416,471,252,263,627,310,120,188,551,477,100,158,378,654,224,830,234,351,017,
986,326,299,611,491,337,583,784,138,083,057,983,562,015,295,155,423,863,517,
791,079,781,919,955,399,895,817,274,389,618,296,485,753,667,400,558,243,600,
881,452,232,869,503,348,234,563,171,980,314,835,508,849,705,680,810,612,106,
296,803,779,533,700,929,735,340,279,152,519,097,983,729,531,383,569,071,226,
313,460,018,426,637,227,844,087,761,304,215,658,599,228,019,034,699,750,010,
462,262,913,669,227,841,819,619,103,542,858,044,744,685,698,062,680,292,929,
727,020,257,781,060,954,953,596,050,296,459,266,699,942,200,429,344,569,604,
263,470,791,134,589,983,262,986,088,446,184,580,785,594,461,386,554,072,011,
677,910,651,357,078,454,576,332,479,038,693,884,444,729,406,554,331,804,708,
528,391,467,286,564,268,694,507,585,291,027,359,861,727,413,609,176,825,611,
299,598,149,540,190,068,716,063,867,087,372,825,104,301,721,427,865,537,243,
686,780,803,349,142,757,989,200,123,323,668,884,267,141,013,808,567,451,438,
440,365,016,602,687,561,926,160,732,675,974,876,746,678,735,254,636,641,098,
581,802,430,415,708,115,486,138,091,659,238,708,475,664,930,240,848,415,363,
868,422,841,786,277,306,546,823,210,855,119,965,183,694,452,909,232,219,088,
325,351,698,109,705,379,382,513,690,765,571,188,686,080,096,896,910,518,483,
705,224,178,765,220,438,725,463,346,298,124,778,951,694,702,731,923,635,980,
910,540,211,886,267,959,890,270,989,241,438,555,624,728,491,466,609,286,722,
069,677,577,233,360,857,404,034,956,679,800,536,102,823,013,225,005,817,683,
068,457,687,981,528,755,602,989,387,886,185,735,048,724,789,388,923,262,218,
157,242,805,450,988,882,630,290,705,387,125,077,348,311,227,600,789,786,955,
764,581,820,426,055,861,879,266,199,240,929,837,734,191,263,932,125,826,697,
339,484,874,637,700,493,935,380,854,604,337,083,541,856,428,037,524,728,541,
097,145,059,175,243,450,149,222,811,251,571,985,566,745,599,092,071,697,205,
286,354,179,104,664,038,938,162,880,173,342,989,614,279,100,304,155,113,007,
039,745,561,729,356,789,927,675,966,060,629,859,834,319,604,053,871,639,140,
480,060,894,964,326,042,758,996,443,931,566,796,053,168,681,055,568,984,545,
064,853,794,406,911,349,052,037,250,189,734,636,683,269,841,241,597,555,285,
190,852,502,557,489,922,999,516,646,323,627,136,085,968,456,396,719,609,010,
287,402,379,687,526,879,602,665,824,760,274,888,041,626,737,484,080,438,966,
832,569,467,237,737,662,162,304,438,383,103,104,153,408,070,472,547,705,886,
748,905,691,726,627,382,367,198,055,502,210,284,788,276,264,866,553,977,304,
149,699,333,011,654,289,823,986,644,281,777,582,306,430,188,142,573,310,862,
982,821,043,713,315,073,639,788,012,762,521,887,010,080,543,070,304,012,796,
637,025,071,949,820,597,305,066,110,251,043,702,816,986,972,081,042,572,167,
726,070,371,495,665,464,998,172,395,308,031,762,498,120,016,631,831,639,770,
032,976,588,030,125,332,689,852,251,944,447,516,192,387,382,672,964,554,961,
202,880,494,712,795,978,133,929,446,685,620,861,778,516,591,949,122,537,270,
702,103,722,275,641,152,950,314,784,729,742,558,770,136,817,876,886,196,226,
303,268,574,076,095,841,037,230,252,855,597,675,749,158,924,209,813,279,797,
388,718,671,552,736,547,623,237,239,493,257,827,883,234,454,571,806,855,090,
657,655,394,927,548,037,434,269,725,132,034,611,981,530,062,949,159,565,024,
911,139,300,866,855,277,887,801,777,480,604,746,111,379,810,489,729,949,754,
190,615,117,035,898,731,452,529,204,073,745,313,763,926,598,982,371,328,329,
912,113,691,525,507,818,466,832,095,060,090,002,840,277,913,173,984,433,647,
935,723,193,502,841,812,806,659,704,407,066,430,976,260,252,996,534,070,244,
050,023,544,676,053,974,429,198,240,363,965,667,378,360,697,318,761,031,714,
086,584,985,147,364,434,242,616,228,538,735,616,396,007,167,610,339,415,418,
503,762,271,564,843,777,723,677,690,572,994,119,666,711,793,748,344,586,106,
612,785,053,291,103,659,247,356,438,987,981,694,784,901,720,446,327,113,384,
391,739,319,409,608,885,696,820,110,249,808,279,952,761,143,976,240,300,580,
784,446,617,817,487,561,678,273,225,475,752,201,536,908,738,443,789,232,503,
193,351,498,795,810,826,804,232,502,889,851,182,306,227,747,016,572,910,575,
449,295,676,431,379,386,943,861,321,674,843,429,937,421,025,258,359,407,196,
605,007,828,622,821,239,575,990,524,556,248,622,771,541,571,044,016,778,414,
922,221,267,263,992,134,052,469,983,689,311,583,096,640,381,641,545,868,478,
332,660,237,748,222,199,231,193,255,815,119,275,436,980,632,448,559,173,643,
076,635,469,365,012,805,221,072,239,146,615,394,854,850,947,018,846,575,161,
318,349,092,598,609,701,653,759,428,790,506,288,651,894,084,540,617,152,929,
271,073,685,742,152,765,123,042,359,448,791,617,026,798,951,247,917,187,717,
435,276,017,684,137,078,046,963,697,026,195,018,152,872,047,268,143,090,307,
626,329,188,800,110,926,424,621,214,546,268,224,680,378,438,052,202,110,686,
992,336,416,553,633,012,621,463,365,663,901,542,917,530,931,963,911,009,151,
963,415,171,532,541,572,883,052,566,292,399,247,724,881,490,823,558,726,857,
722,847,432,579,167,579,857,276,442,503,876,953,896,386,057,567,474,326,369,
508,625,477,231,618,296,783,171,908,071,419,623,306,074,210,650,373,608,825,
804,722,711,051,742,670,710,650,988,385,276,891,939,962,339,266,697,383,762,
554,259,009,713,239,560,822,078,596,619,920,542,950,347,924,764,632,153,837,
095,021,226,737,222,476,075,527,729,865,722,692,339,433,659,439,732,998,664,
421,640,274,455,164,309,286,522,363,135,332,062,956,339,709,223,005,886,764,
450,698,139,152,455,947,333,217,147,223,581,079,083,615,910,221,389,401,181,
388,664,706,079,087,783,870,514,924,349,018,582,513,615,630,223,482,110,069,
810,608,226,242,475,473,099,328,959,006,169,793,391,128,373,257,436,128,053,
588,291,953,153,460,193,404,271,143,100,595,517,288,803,543,395,095,599,053,
339,346,229,541,412,925,255,291,982,871,769,945,341,700,876,787,408,402,136,
031,565,868,492,052,479,203,338,322,254,925,075,613,083,319,497,059,557,188,
191,781,235,287,635,222,268,316,735,704,209,047,850,576,016,380,484,297,573,
606,027,388,416,343,266,513,778,643,941,014,660,559,068,526,753,938,818,227,
829,744,804,701,219,311,392,321,026,314,869,342,139,714,329,306,362,476,721,
674,782,176,294,617,575,841,883,813,106,775,651,450,885,329,233,230,689,866,
321,845,706,907,231,962,504,254,170,220,047,082,764,207,209,119,691,441,144,
240,207,664,903,944,650,259,793,844,857,034,530,408,773,673,766,908,512,236,
812,560,175,932,729,406,769,151,812,731,123,184,846,311,369,309,778,116,135,
199,626,924,803,297,673,798,417,403,715,907,357,790,733,861,005,917,999,174,
474,843,109,590,514,447,583,540,064,476,371,045,128,551,018,663,750,357,889,
874,424,356,843,133,948,427,441,024,690,086,855,949,180,496,374,055,720,022,
701,330,043,333,218,736,604,331,875,754,610,804,251,169,829,467,131,871,796,
958,195,064,047,966,873,318,827,533,999,670,233,483,058,079,025,236,097,687,
517,801,385,816,298,747,880,907,633,265,548,053,996,716,701,280,383,878,899,
692,669,392,719,277,137,729,821,670,081,091,131,860,709,997,511,403,947,322,
358,898,914,167,024,945,801,286,959,992,471,065,668,626,947,101,514,142,404,
424,179,067,931,654,740,271,552,238,043,692,493,219,699,051,347,421,527,058,
618,457,550,984,187,191,478,203,592,190,012,653,197,351,733,294,127,030,426,
370,836,561,208,397,496,836,997,304,406,754,781,147,503,562,978,979,535,718,
852,927,665,216,393,159,752,469,130,455,669,004,717,015,251,139,296,184,695,
947,611,934,620,044,983,123,722,405,056,870,934,050,938,097,631,776,823,444,
743,912,896,977,929,120,724,462,976,516,736,594,591,012,077,233,945,257,643,
234,083,932,496,857,535,884,730,490,684,517,262,160,272,117,388,063,047,219,
056,345,104,864,321,015,317,323,130,354,739,065,512,272,707,803,935,611,234,
819,381,239,921,499,002,707,665,919,613,025,903,816,736,576,073,589,866,464,
538,535,918,186,516,598,905,718,157,285,014,714,172,860,054,067,341,295,747,
303,019,919,833,275,442,256,528,816,447,171,840,351,324,105,719,282,519,938,
555,715,501,964,372,581,970,544,620,639,042,846,974,101,125,786,928,088,435,
948,364,424,219,136,115,956,388,340,836,730,384,039,822,940,678,274,949,565,
466,305,130,088,332,217,090,265,235,129,390,618,666,330,467,851,033,131,302,
523,500,660,738,253,517,633,236,488,147,371,984,571,394,423,152,029,671,626,
855,424,916,159,375,518,681,762,525,262,484,063,144,414,786,275,103,973,740,
138,915,239,839,319,457,062,796,433,828,174,572,969,357,325,702,429,947,901,
245,366,306,204,234,324,609,186,639,396,421,467,157,924,615,531,347,079,191,
862,479,894,777,324,533,517,246,857,157,474,732,906,058,590,573,595,099,782,
175,516,608,017,542,340,069,949,586,764,864,126,858,215,631,523,286,107,417,
179,438,812,554,552,025,405,078,710,387,212,527,812,440,266,740,412,406,127,
926,485,756,637,711,588,527,033,537,427,908,043,827,258,541,231,674,847,550,
512,328,767,568,362,187,093,855,247,253,150,102,517,228,177,419,120,946,555,
336,188,121,489,729,615,357,326,257,045,089,715,515,024,184,867,013,681,838,
184,597,422,957,488,466,195,087,464,452,027,746,744,038,037,590,842,699,897,
316,754,555,976,593,222,984,097,995,931,641,822,082,366,320,746,842,387,371,
513,954,546,381,562,357,528,796,860,242,428,677,224,105,857,118,115,958,215,
647,245,042,468,775,884,833,729,417,021,172,729,028,433,331,707,082,056,862,
287,413,073,327,520,211,709,924,306,504,298,111,517,042,875,667,853,097,491,
210,439,957,329,543,559,361,561,138,118,030,249,375,651,901,736,446,675,171,
696,169,258,664,356,089,131,577,235,045,407,811,624,789,452,081,059,549,066,
943,095,181,999,194,434,909,336,366,357,418,409,913,432,242,939,536,539,616,
413,623,076,576,077,015,240,076,274,313,707,473,326,993,275,750,757,188,203,
846,339,139,796,701,139,558,075,944,592,812,171,244,504,437,973,432,410,943,
838,362,281,663,138,588,363,030,043,677,668,268,487,630,315,429,492,194,765,
520,383,566,622,868,147,628,727,480,069,097,616,492,004,118,869,339,222,220,
685,595,686,784,079,767,421,849,860,883,581,376,561,773,662,688,920,086,344,
641,966,471,435,536,125,885,474,376,841,056,740,003,782,215,523,544,585,987,
329,100,281,093,262,369,448,511,856,843,377,160,703,853,749,928,293,508,025,
721,376,867,093,475,289,156,008,206,545,497,208,756,882,508,049,863,718,429,
478,589,235,110,094,854,857,261,707,009,645,248,406,407,611,227,702,657,950,
925,406,899,206,911,320,247,447,106,080,517,942,822,910,891,781,708,315,417,
901,489,600,447,251,389,527,744,568,743,638,815,363,635,222,090,151,374,205,
274,392,566,068,924,073,246,025,063,593,131,734,499,075,251,826,932,097,763,
111,803,399,565,320,757,424,593,915,903,987,958,818,685,714,329,678,121,602,
282,681,210,337,382,091,817,210,804,133,473,172,489,198,700,748,451,087,867,
507,120,986,505,890,841,075,777,762,679,720,395,313,566,738,051,396,910,671,
124,903,871,119,795,230,641,891,834,608,714,500,994,023,055,107,362,510,060,
528,894,261,966,525,892,116,325,235,998,597,836,556,543,333,211,412,795,755,
924,515,580,447,304,558,467,113,376,351,837,450,876,331,844,920,869,975,652,
073,194,170,710,529,577,840,667,122,267,574,046,674,672,968,279,667,929,593,
997,295,975,215,628,444,022,990,555,001,498,213,970,787,568,647,971,800,937,
996,005,906,896,445,120,724,822,379,042,452,933,839,261,231,291,790,542,172,
121,992,247,775,951,165,341,136,985,515,220,511,104,422,519,281,889,735,259,
233,348,750,756,595,859,286,969,443,896,789,755,370,330,116,700,967,488,978,
672,423,856,503,083,860,478,889,540,271,590,348,622,840,747,435,165,369,832,
275,048,491,113,236,054,270,783,716,224,761,296,139,846,373,359,633,576,482,
437,772,193,801,647,084,182,984,620,697,117,336,158,121,479,657,786,149,744,
759,242,502,739,831,843,060,248,900,543,484,285,656,906,722,607,157,323,731,
715,929,367,694,008,188,211,153,521,112,789,865,208,721,634,134,936,330,735,
374,595,867,619,523,189,815,395,050,085,801,426,109,021,906,242,586,531,869,
018,964,402,865,512,503,310,181,009,198,699,934,475,554,375,461,475,501,382,
044,285,407,696,282,596,879,546,630,671,835,787,171,965,969,640,971,730,283,
547,063,813,274,577,526,189,891,856,756,010,467,935,840,620,103,327,750,032,
459,905,768,004,592,903,763,504,793,751,808,084,368,819,951,967,818,324,759,
854,397,373,447,645,645,831,999,923,260,686,014,106,169,545,907,199,387,803,
535,853,205,797,871,366,202,991,623,024,618,290,927,970,305,550,528,941,495,
763,340,987,693,101,927,374,283,781,671,183,627,508,999,150,381,519,305,129,
640,582,148,943,739,644,464,692,997,100,403,855,379,232,609,066,270,492,556,
174,090,410,860,432,006,833,981,690,363,421,220,347,914,519,416,306,437,639,
381,254,964,718,101,275,638,297,791,709,471,360,413,452,409,001,659,636,980,
819,646,406,611,807,109,129,446,928,425,647,659,722,108,734,915,915,029,890,
071,022,105,153,043,739,363,834,970,478,506,833,561,658,532,568,368,517,971,
282,165,239,611,071,549,233,505,660,145,571,968,176,642,028,119,008,493,230,
769,995,895,826,031,373,967,955,736,488,953,642,562,057,444,222,133,793,224,
908,502,943,801,016,253,783,469,375,218,366,890,828,421,904,167,871,314,036,
667,873,694,120,433,414,050,071,852,521,490,608,946,755,935,289,935,798,495,
196,342,609,649,596,223,607,903,743,678,142,890,058,761,961,671,614,860,168,
682,128,553,254,009,051,001,002,402,394,659,525,855,347,683,754,544,327,672,
572,511,006,697,753,805,313,929,307,867,770,684,687,504,205,183,676,335,622,
966,703,011,961,772,212,890,820,233,444,233,426,180,919,504,331,725,995,870,
449,703,137,577,719,155,623,305,885,761,472,148,866,946,759,399,658,439,364,
353,995,643,331,325,658,007,126,742,260,137,536,153,090,642,668,357,458,322,
074,439,930,765,615,748,712,000,132,027,368,997,247,455,728,845,825,056,884,
778,438,121,710,358,612,631,848,764,206,134,003,951,968,689,004,087,811,833,
261,768,219,793,201,314,394,335,131,781,490,737,233,545,027,292,984,955,792,
585,651,621,525,842,638,322,374,595,188,545,374,830,975,118,563,301,610,600,
238,975,441,576,069,361,543,755,747,250,018,298,099,328,230,935,075,804,352,
647,026,656,928,716,384,668,399,116,310,564,616,359,085,455,328,776,866,175,
514,204,010,612,139,528,908,019,518,089,841,241,782,981,743,461,694,027,531,
998,105,988,527,320,589,416,778,208,001,753,109,180,478,058,488,025,209,338,
189,182,796,547,130,410,888,981,286,292,927,290,645,739,687,063,943,950,262,
867,503,600,060,201,649,248,706,241,374,748,473,789,337,889,031,040,875,632,
610,854,460,960,494,114,163,645,293,402,939,756,229,443,690,507,543,648,874,
444,511,179,739,145,642,852,754,083,011,535,808,389,162,758,608,905,853,340,
645,394,740,630,869,575,563,063,364,602,610,446,497,908,898,451,853,922,004,
862,967,320,284,395,852,854,906,426,534,823,681,491,851,776,011,309,961,678,
922,623,955,480,867,776,937,770,940,476,825,651,152,430,930,969,461,667,629,
436,222,842,981,676,658,153,424,941,797,873,903,650,285,024,419,177,110,690,
075,743,372,493,177,339,497,527,321,961,161,804,391,301,125,621,575,340,394,
891,949,371,355,166,759,268,210,486,854,807,835,088,227,115,877,586,960,452,
884,590,241,402,084,651,550,954,224,909,341,706,182,784,418,999,687,178,100,
908,606,238,354,283,915,788,487,072,977,296,551,405,383,200,890,515,318,413,
650,406,549,928,473,526,796,510,343,673,487,770,470,124,871,026,597,099,406,
152,465,421,032,884,696,565,916,976,398,089,798,526,935,047,145,561,039,070,
066,955,421,654,887,286,300,351,434,597,119,933,747,005,342,272,364,775,790,
827,850,730,591,731,905,368,379,067,275,569,839,213,371,330,887,079,897,160,
132,751,392,123,194,629,970,182,035,209,243,763,184,270,522,488,684,876,773,
355,164,206,193,802,040,417,490,777,717,389,852,303,434,746,214,241,869,399,
128,996,333,096,933,997,601,650,713,844,530,904,924,631,773,867,014,071,809,
849,449,425,064,115,316,217,292,731,027,686,111,060,809,325,597,478,295,079,
328,022,499,010,113,430,600,788,143,612,202,911,856,392,985,684,943,526,452,
898,571,549,063,603,416,242,054,863,869,647,934,469,841,511,239,690,778,530,
101,875,941,743,034,688,044,257,008,307,492,848,284,373,856,477,858,585,624,
221,000,496,797,059,231,394,585,274,354,115,189,237,621,435,169,494,626,924,
159,522,754,440,096,094,792,788,672,108,894,946,537,736,416,592,214,329,219,
376,809,935,442,446,878,013,825,975,622,597,461,018,921,904,486,073,647,357,
231,966,476,239,240,822,637,537,916,639,285,324,934,344,596,136,386,559,638,
267,385,553,253,974,019,009,754,264,286,225,691,662,899,167,342,446,546,293,
317,515,012,465,452,437,841,761,183,574,181,913,517,432,332,724,232,881,366,
035,842,839,820,474,142,260,478,488,592,636,072,192,469,595,417,080,533,846,
322,200,599,061,081,208,733,951,875,491,878,490,728,067,521,483,041,752,981,
009,362,703,114,950,341,142,233,833,276,231,533,934,155,162,631,948,233,608,
221,207,336,180,583,840,953,117,327,994,459,706,092,734,761,536,715,724,652,
046,140,042,990,363,136,936,652,711,264,914,056,204,163,675,345,955,507,817,
297,950,254,499,128,205,415,907,734,326,519,000,777,683,769,748,940,641,917,
190,766,522,630,584,390,014,479,100,176,438,820,882,934,468,654,029,998,440,
952,292,114,217,618,380,793,296,496,289,047,830,683,540,371,196,916,538,557,
788,400,234,000,901,927,215,071,496,235,932,736,998,470,183,804,639,877,951,
302,833,193,398,011,101,062,579,314,869,029,182,229,367,747,659,604,395,930,
914,951,034,542,559,508,484,689,536,491,118,662,941,739,326,934,229,312,221,
370,235,898,410,681,617,742,959,281,746,209,541,907,264,131,135,758,156,805,
955,837,732,902,972,911,732,013,154,972,581,281,076,792,008,614,012,201,916,
873,962,101,501,222,825,631,693,153,541,264,492,335,553,080,316,485,178,303,
001,582,665,644,492,647,366,377,016,474,277,467,966,103,678,395,936,099,862,
668,069,837,389,420,243,582,056,486,460,439,452,991,431,260,625,733,425,510,
936,234,236,966,576,505,740,522,594,370,968,358,764,208,897,092,841,204,489,
357,528,504,569,981,847,725,406,671,550,272,137,305,460,606,968,883,055,275,
401,831,936,594,671,714,745,454,354,507,968,124,972,224,264,081,258,303,432,
006,786,286,776,571,061,509,239,378,619,055,538,206,167,864,814,032,068,093,
975,135,982,254,424,152,633,233,142,565,854,250,745,379,744,437,218,181,583,
489,148,206,081,272,985,441,089,303,548,458,980,120,437,159,617,835,181,368,
436,722,607,506,926,097,806,186,486,323,816,418,026,300,234,349,923,451,403,
787,233,352,122,167,146,578,659,920,042,378,715,384,854,658,486,473,148,103,
498,534,350,648,426,033,853,240,493,969,758,787,970,475,361,900,809,232,974,
239,734,041,676,812,159,620,140,456,825,772,529,021,616,979,966,108,526,483,
347,783,803,554,323,740,796,434,319,326,278,840,461,072,836,710,375,790,150,
798,551,547,235,940,015,977,630,084,427,200,946,852,871,854,776,452,324,316,
299,241,497,037,475,451,672,906,167,638,164,013,280,589,615,689,837,153,184,
291,622,300,157,300,244,702,653,627,448,069,857,594,033,821,433,937,984,334,
376,049,926,415,436,225,313,409,488,850,363,762,734,810,068,425,680,105,450,
906,135,657,093,904,397,771,121,454,552,451,862,641,420,289,486,054,226,621,
974,469,442,698,033,452,531,623,793,046,186,086,177,040,122,560,269,417,083,
502,231,403,752,444,787,925,480,089,709,968,656,658,940,996,819,854,223,529,
484,871,650,567,683,103,114,821,423,167,843,004,015,426,274,587,174,271,778,
171,685,637,426,174,501,505,397,118,939,993,109,082,089,232,546,152,927,590,
385,537,595,959,925,713,832,187,770,354,656,337,572,232,944,580,824,559,469,
827,692,213,377,946,477,932,473,275,497,212,990,851,687,885,594,999,185,221,
156,154,620,287,722,262,727,272,387,056,028,853,301,404,141,344,939,993,594,
850,371,410,998,863,552,012,806,336,188,627,151,228,452,190,148,292,469,358,
366,341,750,368,265,399,124,528,270,574,613,402,546,432,965,046,202,474,337,
361,889,150,064,880,359,617,324,357,792,897,534,874,771,842,511,579,169,871,
925,865,806,017,849,116,517,168,087,341,546,580,773,631,780,617,346,561,782,
297,157,346,343,718,463,407,004,593,047,368,643,345,029,500,923,602,597,630,
617,168,541,771,099,538,124,942,434,153,007,477,400,824,821,788,201,243,909,
162,499,097,916,202,195,092,094,643,823,580,698,582,916,678,249,756,174,313,
065,033,045,586,470,523,284,672,652,871,716,226,499,967,530,444,353,144,122,
768,439,218,159,319,693,750,309,664,079,986,708,811,302,312,519,624,075,613,
641,938,502,166,441,460,760,444,958,734,767,097,941,568,969,969,980,191,434,
172,460,417,806,542,206,359,910,624,046,286,331,198,173,632,539,837,302,379,
038,464,013,498,983,288,595,595,589,735,736,831,402,985,420,970,345,045,925,
001,616,145,642,379,920,606,262,939,495,605,729,432,686,765,413,204,802,706,
399,408,109,026,440,636,465,962,600,217,619,762,324,829,464,467,941,672,497,
764,676,144,417,291,818,789,940,790,079,882,682,164,643,389,221,566,410,495,
921,380,267,870,659,627,870,567,347,371,953,144,317,144,225,502,726,285,835,
106,948,219,804,303,718,715,270,101,937,853,456,980,764,255,957,945,059,376,
019,253,816,105,534,721,081,126,883,558,688,605,897,244,436,849,993,808,816,
888,239,231,069,796,836,191,555,613,601,517,787,848,119,998,778,437,512,563,
365,872,928,733,528,081,386,755,605,632,295,103,018,546,732,697,842,095,281,
270,054,087,819,789,746,213,183,275,103,374,407,549,423,201,575,673,296,682,
296,752,031,936,013,428,731,815,204,608,863,672,636,333,409,142,973,002,180,
550,456,162,774,379,981,628,793,479,752,614,414,937,585,255,540,282,385,089,
933,424,699,699,821,588,585,835,379,650,965,840,896,537,869,728,702,658,092,
415,463,977,262,861,532,564,231,179,421,956,048,936,694,073,135,479,227,615,
626,897,739,392,318,861,716,076,400,192,367,067,166,890,228,504,838,515,143,
252,923,015,521,031,357,801,551,628,693,412,208,167,419,574,526,346,066,693,
918,316,571,043,714,057,005,998,249,257,867,428,870,419,147,068,566,083,943,
893,757,616,946,150,960,850,108,404,665,510,757,724,089,426,807,029,680,406,
831,601,973,688,905,448,096,689,868,559,640,856,307,678,537,987,811,653,024,
910,901,256,645,379,121,030,722,903,071,862,982,865,800,525,728,076,686,108,
622,429,172,204,604,435,000,200,451,434,721,642,348,693,276,468,619,480,613,
807,673,452,060,671,588,765,797,154,797,343,467,608,654,791,458,792,328,473,
542,929,491,990,472,170,266,812,207,463,496,379,966,000,828,596,320,861,687,
337,488,133,392,690,561,346,734,122,439,464,746,434,492,795,670,054,643,168,
184,775,856,977,303,557,063,242,137,157,227,084,908,853,956,023,129,178,091,
163,483,413,074,277,546,611,786,777,971,397,240,045,350,806,468,840,438,660,
121,840,565,896,695,180,926,228,220,216,208,668,024,429,438,397,515,417,981,
339,219,995,615,517,937,590,374,749,939,455,400,945,012,399,284,532,057,732,
663,138,682,672,702,783,464,232,142,052,001,195,496,253,498,023,720,987,796,
412,243,093,247,909,895,669,991,795,784,967,616,252,880,514,450,759,816,434,
859,945,808,202,153,980,391,318,000,125,263,221,110,363,691,100,283,873,581,
270,735,161,717,065,357,321,967,286,989,224,157,410,022,539,747,076,698,322,
050,609,981,675,105,586,954,122,468,641,512,759,362,938,113,118,482,494,434,
141,688,133,491,135,345,680,368,862,754,094,380,340,021,862,884,827,603,201,
818,361,984,952,166,933,046,231,559,712,647,800,517,294,295,103,640,772,608,
063,101,242,909,899,221,717,471,643,865,471,035,779,055,501,810,775,561,806,
797,826,141,616,584,521,882,423,209,991,127,247,548,078,161,552,316,211,520,
817,560,397,548,221,840,739,321,060,914,628,039,583,561,470,998,296,397,071,
656,431,727,533,511,980,529,030,914,280,600,598,649,771,050,435,637,806,781,
056,532,094,100,675,943,343,456,758,082,298,810,580,452,617,106,895,548,124,
235,478,045,564,995,433,429,114,453,307,921,757,908,072,255,357,809,640,645,
803,380,970,052,633,405,582,048,139,155,139,086,043,779,415,579,346,126,803,
250,774,684,645,888,051,372,020,079,817,734,159,541,706,631,943,979,640,932,
547,384,649,274,785,185,735,648,755,110,487,960,029,970,231,926,562,635,554,
745,161,299,658,303,051,705,869,494,815,209,909,658,240,105,812,482,532,901,
216,125,077,474,198,452,481,484,847,838,944,160,492,877,999,163,156,917,786,
758,588,457,329,281,251,135,639,401,528,098,781,192,828,147,337,577,887,184,
191,191,194,360,521,632,047,187,113,238,297,516,618,391,666,007,163,913,459,
509,173,548,487,493,377,063,389,268,443,877,105,280,382,383,667,244,461,870,
183,288,108,168,886,720,342,711,123,589,620,153,753,101,463,799,640,084,172,
627,427,927,597,120,441,565,128,465,004,444,083,058,311,751,154,230,478,214,
681,811,850,906,207,797,355,904,413,629,235,703,948,413,347,936,701,748,474,
306,491,511,596,831,974,875,273,196,595,507,947,200,291,125,355,911,475,350,
104,031,006,884,699,155,248,463,048,823,926,759,702,573,681,849,416,660,660,
553,786,054,877,033,613,370,455,052,550,658,365,685,986,481,350,068,988,211,
954,327,986,251,524,570,347,053,837,156,584,159,775,878,359,045,026,492,865,
936,523,954,688,979,347,653,440,506,332,972,175,885,888,377,182,631,490,193,
929,848,429,388,018,336,586,477,545,991,908,054,108,438,764,778,608,067,857,
997,343,276,681,414,123,054,423,166,038,806,563,992,933,271,475,049,368,879,
750,994,365,237,237,942,287,881,299,597,751,237,114,185,421,946,516,311,187,
814,908,407,692,856,960,894,478,923,117,380,340,022,009,901,526,838,436,455,
141,341,912,003,766,615,458,825,308,130,768,155,798,061,909,737,604,384,090,
442,935,816,556,109,781,428,637,244,280,621,402,453,383,496,806,640,711,133,
110,442,153,170,994,808,790,594,589,254,615,768,464,285,533,084,393,510,597,
811,590,543,104,180,132,394,019,634,115,603,450,868,917,392,728,248,557,927,
487,648,089,756,654,973,744,601,776,484,018,354,993,165,777,254,661,723,108,
679,787,605,262,080,253,671,683,323,471,004,257,858,308,334,339,544,447,461,
256,271,892,686,855,311,155,643,662,653,799,020,801,127,382,963,123,457,597,
279,084,817,947,653,163,287,621,578,988,844,716,750,205,758,543,449,330,959,
863,720,090,420,246,101,118,221,467,447,479,192,152,529,372,988,781,861,005,
915,172,141,309,574,288,631,248,846,982,599,043,912,484,587,253,648,143,891,
912,764,854,888,827,178,472,085,788,068,829,356,600,280,317,279,437,064,170,
709,549,421,319,263,649,791,014,454,576,728,711,751,982,062,593,445,726,133,
545,502,038,716,362,060,719,414,570,595,191,837,867,845,724,256,612,423,377,
152,955,297,706,582,184,775,011,237,055,100,902,330,584,786,629,474,294,442,
170,463,678,735,902,713,448,840,123,887,782,816,959,368,399,245,475,576,991,
586,815,861,562,523,089,737,392,093,937,626,822,507,014,376,171,475,148,423,
592,460,115,950,750,868,230,177,957,420,220,195,638,972,889,272,234,887,774,
706,229,480,861,591,277,766,546,227,562,325,835,384,957,010,491,090,703,371,
139,806,897,124,874,665,699,118,306,710,943,239,808,636,091,127,694,190,412,
083,631,974,559,192,458,309,914,246,156,950,134,248,105,721,906,493,860,136,
209,310,630,589,985,308,192,097,822,895,316,988,413,382,666,236,432,763,271,
914,240,172,904,896,212,610,765,501,440,707,850,498,740,917,885,764,439,997,
005,566,472,543,990,843,489,063,797,066,610,276,037,460,878,405,970,749,221,
905,666,015,710,616,179,884,289,393,611,164,340,173,542,673,821,192,445,333,
549,658,754,669,033,386,541,521,053,544,697,396,431,770,998,507,655,593,996,
038,148,327,966,977,057,433,985,445,043,359,668,867,031,949,187,007,453,861,
264,220,374,701,568,031,120,234,524,183,455,341,433,912,599,973,602,948,269,
521,794,972,757,584,568,173,397,519,280,030,654,726,872,766,536,902,350,487,
700,951,634,030,376,687,811,231,390,286,412,885,489,062,803,117,943,233,798,
165,792,750,077,712,671,350,708,593,697,076,827,361,218,883,060,848,764,297,
541,485,083,539,954,358,572,494,989,084,121,326,801,443,348,092,340,199,045,
468,849,281,769,676,821,888,898,098,692,278,288,403,032,767,598,958,456,825,
414,546,557,661,117,444,184,698,217,909,903,285,098,846,392,937,178,242,894,
304,660,793,340,677,807,309,513,008,884,649,731,598,050,264,604,789,518,308,
129,843,429,565,850,969,058,133,217,991,187,238,618,594,130,299,838,869,059,
518,806,980,491,355,559,837,411,984,708,665,222,831,064,754,695,715,870,576,
666,139,100,108,668,218,312,085,111,976,770,415,767,201,328,929,171,861,089,
201,512,910,042,587,040,486,531,940,766,370,515,723,278,145,845,761,876,715,
857,165,647,485,985,382,798,425,249,912,900,544,705,772,517,252,932,662,626,
493,412,900,582,636,616,715,851,390,968,375,258,279,300,953,421,498,050,997,
857,752,367,789,583,040,015,799,950,274,434,602,349,720,184,488,917,912,016,
336,900,976,674,382,411,776,316,410,193,242,090,266,624,802,008,825,178,321,
707,933,966,178,811,549,728,218,630,037,682,505,784,455,743,972,525,061,474,
259,954,614,099,716,275,466,741,024,582,718,174,959,986,239,333,809,799,437,
814,963,269,645,249,092,201,626,984,419,100,091,438,035,987,839,640,103,912,
197,607,947,742,849,283,071,571,796,034,362,271,125,021,612,190,129,618,038,
484,796,240,630,771,137,804,218,932,343,282,390,879,972,059,063,480,119,011,
897,505,881,693,805,328,854,676,644,429,208,129,791,992,961,458,256,755,623,
832,569,076,852,506,572,345,564,036,572,185,360,763,516,702,195,341,983,356,
936,550,379,258,880,489,702,101,879,049,038,866,685,583,374,221,188,190,766,
879,564,661,834,103,027,103,798,044,262,944,777,584,457,259,494,366,865,401,
951,027,208,146,902,748,520,766,502,529,528,038,085,076,374,675,562,533,636,
493,065,116,474,091,279,299,647,133,796,675,511,007,487,441,169,629,584,545,
084,720,868,950,239,716,867,346,913,347,969,359,528,869,303,045,672,014,665,
582,293,995,978,754,248,682,496,743,666,828,786,793,156,348,604,047,590,286,
819,990,219,843,508,291,882,292,765,398,767,980,863,209,183,491,373,379,351,
324,870,930,158,075,570,906,771,880,544,309,666,660,476,190,513,363,384,024,
546,224,094,097,964,024,367,598,541,840,714,027,822,089,414,213,085,686,934,
792,095,724,824,569,837,314,690,455,778,907,630,575,707,625,339,391,618,316,
114,675,725,738,578,596,822,825,994,080,347,217,313,903,672,965,061,124,699,
416,070,101,471,091,499,587,313,872,853,769,460,190,252,043,054,238,305,458,
731,418,470,512,196,422,438,282,260,453,294,904,312,007,337,181,958,300,316,
910,982,335,358,094,169,912,416,755,553,732,068,324,392,291,261,526,855,476,
702,717,274,365,248,728,521,375,079,517,005,049,910,437,524,869,064,891,258,
169,399,668,253,068,532,356,250,493,668,405,248,528,841,543,200,816,699,724,
547,969,397,867,081,685,529,590,348,197,583,097,753,280,043,194,592,489,579,
516,814,538,800,008,672,349,661,036,488,292,610,960,011,647,360,137,695,465,
989,512,739,311,291,871,015,514,878,820,046,366,202,763,016,651,102,875,298,
841,636,466,709,847,131,881,946,531,489,472,100,524,611,775,204,882,213,546,
476,392,947,647,812,820,015,164,911,489,584,559,648,367,327,852,481,152,077,
301,219,094,515,392,144,833,471,814,356,405,514,376,555,616,326,722,389,804,
734,382,683,145,299,788,346,957,835,336,670,003,674,381,155,541,466,700,047,
192,138,915,686,696,664,986,224,874,619,421,518,253,385,168,259,028,493,925,
708,142,965,801,241,369,183,884,669,804,087,599,346,412,345,578,983,382,641,
881,055,644,820,747,746,884,541,383,486,845,053,105,788,782,688,602,292,140,
906,278,309,691,349,438,347,502,850,302,062,333,468,928,105,311,752,873,108,
523,468,932,376,872,654,497,284,006,997,497,247,160,245,631,725,586,425,496,
851,311,974,269,207,379,122,518,102,474,647,339,498,818,637,037,634,814,472,
039,210,425,073,300,750,908,156,214,103,467,331,090,045,974,293,107,695,363,
059,682,489,948,392,792,376,633,922,082,639,796,252,684,808,704,648,040,922,
922,647,876,883,120,546,288,237,201,432,517,707,291,259,747,620,744,714,775,
909,912,169,493,853,729,374,831,150,113,079,328,448,533,234,777,120,785,328,
405,380,847,123,270,188,651,490,835,699,456,811,939,033,291,213,365,449,335,
237,183,074,560,890,677,904,630,817,355,319,171,290,877,237,204,098,518,460,
336,120,858,282,780,120,168,697,839,661,784,901,211,979,405,604,000,242,420,
921,415,882,626,844,901,795,416,806,708,721,224,922,515,221,236,453,099,784,
884,003,264,845,317,166,482,735,835,822,533,395,843,746,422,802,720,443,561,
875,284,930,384,914,169,964,377,684,955,845,958,182,948,499,063,908,838,870,
221,883,733,070,292,132,925,881,039,045,808,135,887,214,008,518,039,325,937,
470,880,524,848,565,890,562,836,817,306,560,174,755,733,882,006,736,514,464,
839,600,507,723,275,974,810,966,290,198,433,234,181,949,767,266,151,274,039,
940,014,101,375,726,264,613,524,639,539,225,298,737,080,975,956,839,646,205,
574,426,504,766,740,844,069,611,847,011,829,914,292,776,789,458,616,225,550,
880,485,102,864,740,447,263,383,759,992,394,641,076,901,941,938,478,127,269,
960,277,679,889,670,246,446,723,627,980,979,629,825,225,990,201,702,465,512,
045,501,116,035,053,779,282,962,660,626,232,649,639,106,959,319,977,682,857,
809,734,260,798,763,456,511,530,279,076,493,201,849,219,384,517,952,703,825,
993,835,289,625,021,601,918,539,684,077,371,612,974,355,199,093,873,998,245,
599,485,502,679,023,183,805,008,254,943,892,095,094,809,288,977,649,063,075,
878,417,406,037,286,868,850,741,016,021,564,113,718,511,964,447,585,600,323,
820,642,561,787,470,358,836,394,598,081,051,064,810,039,376,749,920,497,017,
485,009,696,168,641,826,308,875,340,109,772,594,280,126,591,541,538,304,849,
601,889,277,832,917,394,648,296,681,825,742,228,557,284,577,623,619,376,170,
946,497,284,301,829,714,755,300,927,875,596,941,176,035,964,217,989,308,628,
236,108,753,341,257,900,763,644,277,494,556,212,662,722,323,638,193,421,955,
797,517,401,873,065,460,584,991,233,977,043,418,863,080,068,919,332,762,530,
146,495,618,269,222,810,779,727,439,300,237,704,129,144,801,302,382,132,053,
144,702,007,296,249,271,273,139,481,595,822,293,029,993,228,810,205,097,434,
021,121,288,008,248,800,702,409,585,361,786,086,923,757,588,851,372,765,728,
852,829,583,798,094,214,707,709,893,351,794,650,507,320,406,488,325,077,867,
868,544,255,806,802,044,843,563,360,830,099,325,796,799,566,732,968,011,225,
179,833,568,956,345,673,451,595,382,685,226,240,389,564,865,172,481,195,205,
578,554,397,151,989,342,288,667,683,349,517,501,264,821,189,882,337,820,847,
533,777,731,706,579,934,075,543,767,062,435,233,761,321,609,651,878,263,977,
550,612,569,771,374,325,327,506,530,557,602,609,467,187,168,086,366,791,493,
460,253,021,523,627,914,520,808,044,470,569,154,621,851,619,600,908,796,014,
062,597,664,411,678,755,191,684,633,289,607,806,826,842,461,987,343,215,845,
300,337,984,900,913,908,583,073,343,671,142,037,326,205,615,397,997,102,391,
675,186,321,607,590,581,251,653,272,584,639,007,264,965,818,434,943,581,115,
959,643,250,614,430,140,359,493,127,165,452,766,986,970,326,624,477,074,848,
828,449,913,709,401,634,404,300,549,291,826,827,832,693,842,762,224,258,401,
132,694,102,717,434,256,375,055,504,063,571,025,454,586,534,326,328,003,205,
920,970,928,854,456,591,404,607,556,240,063,879,382,549,832,572,877,280,124,
441,054,809,231,217,159,765,800,341,922,423,555,920,592,630,775,337,733,970,
546,314,895,978,672,633,817,893,712,229,554,724,246,698,626,464,954,665,542,
267,084,525,774,797,877,719,056,700,445,709,605,700,095,342,241,491,683,502,
288,580,813,260,494,350,787,355,210,182,250,414,454,381,520,905,678,707,436,
055,758,640,833,468,164,194,940,230,293,441,754,595,460,551,741,214,801,617,
803,354,207,848,609,436,729,480,411,313,978,524,396,892,015,221,616,813,556,
187,039,319,812,985,093,064,912,359,479,264,857,828,668,178,571,470,508,588,
176,039,374,554,266,414,403,269,455,121,306,964,336,303,596,596,127,988,825,
879,150,183,518,132,864,852,570,970,670,648,036,383,018,111,877,066,871,055,
442,893,547,884,122,211,346,143,782,245,054,707,778,439,674,581,598,673,998,
382,996,793,795,384,868,286,313,978,287,814,759,870,235,029,781,651,350,752,
235,009,078,594,853,567,329,466,529,854,918,509,345,245,444,691,024,819,807,
026,156,299,902,937,421,147,286,288,782,141,032,150,470,410,390,434,410,535,
026,617,567,058,737,496,891,922,682,826,212,128,421,340,982,023,403,788,814,
180,955,449,216,757,054,097,157,626,715,199,165,050,222,663,500,142,610,297,
229,602,438,134,489,728,054,565,882,098,206,078,471,530,795,353,564,848,694,
459,577,412,384,573,243,531,273,296,298,360,497,909,075,502,580,826,635,048,
031,662,507,832,781,575,902,343,521,087,831,658,347,797,004,506,142,815,061,
764,833,126,267,169,650,699,870,091,892,154,936,957,532,871,063,787,516,870,
234,800,492,492,074,912,889,050,958,502,896,487,755,704,415,074,281,699,133,
212,149,880,356,407,557,995,570,899,860,397,695,518,800,276,773,838,344,154,
287,406,337,916,011,577,681,116,055,816,369,860,267,867,540,597,838,182,213,
423,361,888,389,199,590,494,103,381,878,664,127,384,146,202,285,674,137,990,
895,834,855,196,952,756,509,081,298,071,127,024,214,474,455,792,663,334,900,
777,705,973,061,623,044,265,185,216,258,252,203,000,294,387,951,723,229,598,
871,624,708,506,315,462,362,660,046,006,006,380,496,199,343,600,378,404,409,
964,680,505,896,071,287,816,951,451,090,042,247,303,420,262,990,091,393,339,
141,494,524,137,239,315,569,773,620,563,688,524,961,628,567,486,958,732,324,
587,014,149,664,665,195,963,547,390,100,069,629,348,899,372,404,069,636,844,
930,988,102,383,027,277,224,375,616,317,907,985,899,619,396,584,901,743,511,
649,552,727,378,176,395,363,055,983,299,646,649,268,671,544,726,209,305,387,
054,497,626,047,871,720,744,769,135,859,257,109,001,552,266,588,991,161,972,
646,619,376,912,271,254,540,700,715,312,409,990,735,503,526,434,767,152,559,
459,024,835,455,742,270,311,210,457,273,047,336,390,671,736,318,469,047,234,
835,026,400,141,819,729,981,151,312,688,442,610,659,111,303,780,679,325,063,
966,579,139,913,141,348,109,390,917,757,374,652,071,545,287,440,972,924,139,
724,504,065,573,085,121,304,070,582,745,344,521,933,863,290,054,506,587,816,
751,327,982,044,492,528,203,292,644,102,168,270,270,304,211,994,143,046,763,
700,119,317,844,272,376,976,486,363,502,223,216,848,562,191,496,582,278,810,
490,194,450,276,246,690,715,419,822,280,202,275,939,502,383,009,563,484,367,
852,149,085,248,896,112,141,933,735,676,911,889,589,223,693,597,234,512,948,
193,508,979,333,646,932,791,029,967,247,805,846,615,699,522,002,545,830,119,
949,542,583,526,046,308,207,342,733,028,311,195,032,389,184,960,953,590,753,
528,623,808,286,185,879,291,383,241,939,503,096,291,731,654,910,540,454,538,
093,647,652,609,907,258,656,091,239,866,410,979,322,506,600,917,444,650,225,
334,300,861,156,628,586,818,821,811,674,680,920,831,887,547,876,288,143,913,
624,056,762,843,544,923,495,106,713,489,581,241,545,602,137,469,604,858,289,
875,300,071,421,595,910,170,772,297,612,379,894,687,834,127,658,970,421,057,
821,773,652,590,774,156,585,421,951,553,276,262,351,062,933,132,402,730,381,
811,290,252,344,595,193,516,005,586,960,873,390,401,715,852,221,093,430,763,
005,512,479,734,584,548,353,446,682,896,040,585,331,163,943,012,848,381,339,
572,943,055,555,327,595,395,546,253,480,175,751,561,833,755,839,727,539,371,
076,213,588,643,251,547,211,368,809,642,079,457,193,911,341,116,097,815,733,
358,243,576,337,540,951,158,569,154,303,963,981,825,556,609,996,127,806,553,
607,835,165,496,225,413,543,273,316,902,765,018,814,584,260,143,834,523,993,
759,377,120,339,949,490,545,329,008,002,032,254,870,824,399,225,759,756,858,
805,291,978,461,515,230,861,553,450,037,028,718,797,372,885,616,230,988,437,
405,361,854,190,297,833,407,429,241,885,738,537,547,848,074,007,087,553,067,
408,587,186,853,643,517,466,570,897,312,726,691,038,359,962,484,194,478,807,
467,047,528,100,909,446,496,885,903,825,333,904,355,818,646,354,823,474,781,
005,198,454,653,980,246,505,433,086,723,930,861,450,991,300,278,293,568,627,
319,266,383,847,026,117,051,129,067,522,975,825,888,771,227,355,561,825,446,
617,356,693,466,080,205,122,377,616,630,918,827,024,700,626,691,658,037,604,
602,213,037,593,476,811,688,635,448,966,582,785,652,131,493,356,075,709,396,
699,256,394,978,779,374,855,537,767,890,123,077,374,243,770,361,417,242,369,
698,335,850,100,710,470,698,501,127,601,587,443,002,755,436,666,061,920,769,
918,600,657,723,546,848,016,287,468,002,825,129,708,310,227,255,927,459,714,
384,401,813,154,898,234,452,467,114,268,986,594,028,831,473,897,156,447,260,
857,727,114,466,409,586,222,610,406,897,105,852,205,073,946,910,401,017,080,
982,345,612,840,233,196,781,148,528,351,840,082,697,547,832,308,156,997,987,
130,738,817,844,311,029,754,730,628,534,340,934,702,527,591,818,461,327,676,
121,518,168,006,330,442,040,374,271,623,979,936,934,084,067,020,185,307,171,
298,377,701,319,883,783,221,990,943,065,853,866,967,697,922,621,836,171,835,
942,260,109,978,546,862,337,834,754,370,093,676,985,370,943,741,874,970,869,
662,188,750,802,742,084,718,609,698,954,750,333,319,653,086,439,378,158,692,
745,334,109,958,870,351,345,519,496,021,508,326,180,926,881,827,549,544,113,
066,884,085,655,091,342,885,216,709,286,091,110,012,054,667,059,900,654,939,
677,730,042,602,650,636,389,107,251,469,104,458,453,508,014,834,171,829,291,
851,607,860,865,211,313,568,231,388,726,178,724,693,386,248,187,182,167,940,
350,091,489,256,915,957,116,902,560,879,007,380,925,253,745,522,591,506,663,
213,992,848,749,298,836,345,757,098,980,360,421,150,972,717,157,198,597,437,
659,238,076,568,060,509,712,379,146,923,404,509,384,221,844,663,046,944,899,
537,753,494,530,932,698,029,229,641,438,958,353,786,194,337,056,278,535,687,
806,708,417,293,969,606,699,296,347,047,227,682,970,294,794,414,858,984,140,
361,821,841,237,681,913,883,248,392,677,273,215,629,128,666,478,501,804,925,
109,096,837,889,817,191,065,627,404,491,889,499,497,998,867,563,195,678,523,
290,697,271,892,866,350,144,736,535,139,217,943,490,528,473,025,658,122,525,
085,580,820,994,892,445,564,672,001,282,843,529,395,462,753,211,448,514,297,
434,128,010,074,274,065,847,364,928,807,347,718,747,530,489,000,401,297,362,
687,022,120,538,519,177,535,962,576,482,238,687,908,468,337,638,485,711,603,
552,225,781,435,586,033,364,113,826,380,687,962,052,333,422,981,820,950,952,
429,044,395,238,187,986,396,681,032,517,829,554,905,845,822,111,968,553,839,
957,987,579,939,240,073,472,261,578,182,890,667,562,667,470,648,689,091,643,
241,514,592,932,917,025,215,001,792,717,396,468,457,839,348,686,600,890,767,
130,514,521,821,999,893,801,147,399,837,993,586,768,031,633,830,286,993,465,
696,245,242,777,195,028,275,191,464,384,512,458,720,569,617,298,673,027,201,
058,022,648,570,335,198,552,713,489,925,977,786,130,198,901,239,546,829,788,
630,784,854,180,726,748,013,027,506,819,315,295,794,554,124,496,381,175,365,
912,378,755,342,758,023,880,394,857,210,930,561,218,273,194,497,027,324,403,
269,639,796,613,444,007,403,484,746,263,832,812,795,677,454,706,786,116,030,
285,612,865,670,816,045,974,793,614,169,257,204,510,280,734,451,897,048,748,
255,148,884,004,628,441,255,794,471,908,162,872,237,126,382,175,519,831,993,
207,797,556,463,461,294,752,857,485,337,468,347,923,749,945,852,632,410,266,
555,430,690,558,220,632,284,540,946,132,080,037,235,318,341,347,168,541,079,
529,020,380,216,081,312,184,508,441,999,436,558,892,745,642,922,536,124,546,
041,447,685,260,742,731,884,018,958,005,297,718,749,889,177,438,919,733,290,
520,819,840,163,169,256,586,977,416,608,134,482,629,635,703,995,998,529,093,
315,727,262,731,474,949,664,299,164,641,353,183,800,233,307,708,338,411,782,
252,863,561,773,155,125,914,708,543,798,408,703,803,603,273,123,995,978,936,
572,939,702,095,731,477,640,891,480,656,433,207,696,520,660,637,354,121,043,
668,765,316,109,303,382,124,150,917,356,815,307,904,248,275,414,318,797,563,
400,469,255,698,783,485,434,733,822,652,588,722,283,993,344,938,013,518,975,
382,701,730,395,968,594,234,274,488,798,579,897,100,076,705,067,140,576,038,
593,256,401,408,962,733,874,624,506,425,731,285,290,750,110,026,819,139,357,
508,462,707,659,122,690,454,162,485,476,180,676,254,659,116,004,716,990,466,
926,601,212,011,922,337,955,956,404,425,882,755,248,525,209,674,159,968,346,
356,022,313,647,909,825,820,084,700,083,626,721,592,708,296,220,910,159,143,
074,644,352,122,245,348,446,801,506,949,494,789,538,703,511,936,448,404,072,
749,212,294,916,677,014,872,189,396,672,777,228,555,012,927,096,645,219,420,
109,723,339,775,114,303,489,294,219,302,952,223,307,710,602,068,785,168,421,
855,849,597,528,813,556,485,824,569,401,681,188,223,825,948,210,590,644,148,
977,826,539,988,937,932,331,442,770,798,157,016,256,788,450,221,533,308,007,
820,517,661,607,475,775,094,449,640,433,064,552,862,834,340,591,141,502,933,
781,159,702,769,117,453,729,822,987,649,466,838,968,664,148,573,261,912,089,
294,850,406,664,479,049,415,202,814,010,464,873,296,657,469,197,088,920,675,
783,627,252,721,153,427,849,646,955,151,967,821,464,839,236,682,616,594,991,
751,189,932,427,401,776,180,191,738,490,901,255,941,461,561,203,928,182,262,
585,825,957,078,369,371,003,195,903,403,949,718,374,228,847,834,543,348,599,
063,431,908,168,633,470,276,784,054,517,529,375,253,510,754,240,996,763,174,
002,431,416,600,624,602,548,347,760,648,043,341,949,802,697,341,347,294,043,
917,871,760,251,684,550,418,485,720,170,289,714,557,631,191,053,159,421,956,
315,076,000,279,596,739,252,765,850,344,354,397,212,642,205,167,590,581,930,
434,870,709,787,825,951,124,937,458,717,250,707,405,752,710,939,372,843,518,
439,776,086,766,083,496,988,180,425,659,424,448,737,443,465,147,626,052,223,
494,403,105,116,725,009,208,528,690,224,169,767,304,794,765,353,495,663,298,
370,856,182,535,760,517,914,810,153,411,731,135,271,362,612,092,067,556,698,
176,604,049,723,739,894,348,592,979,645,888,214,860,833,964,167,154,265,006,
289,843,099,350,217,858,767,129,751,238,010,309,630,069,576,991,815,832,681,
905,100,070,868,216,872,843,814,167,019,278,585,097,196,887,852,648,714,304,
827,509,844,144,554,785,475,646,654,365,798,714,059,185,337,484,135,858,184,
117,872,454,205,284,175,428,342,687,674,394,672,341,446,301,275,376,767,381,
045,334,244,430,457,611,162,041,976,231,285,577,414,546,973,465,746,289,027,
858,257,499,035,312,351,810,849,887,831,958,420,271,388,434,055,474,386,904,
997,593,195,903,689,979,188,043,883,849,959,874,956,861,416,217,714,554,813,
839,765,382,573,928,212,860,293,541,852,463,185,212,371,538,336,517,162,770,
842,113,150,862,400,328,940,649,450,492,654,213,082,217,338,385,818,487,838,
781,296,783,438,046,472,695,387,583,559,692,011,449,447,828,389,632,389,257,
836,683,035,406,198,295,650,978,295,432,599,188,951,814,356,406,550,292,162,
666,424,071,322,222,855,727,621,378,132,497,710,470,130,686,291,454,333,408,
325,905,916,355,865,906,889,293,533,394,716,372,088,753,002,458,222,898,844,
582,043,280,758,138,134,719,441,110,313,367,239,166,412,866,794,555,096,465,
513,169,987,407,610,799,422,186,140,091,405,194,117,493,879,825,241,929,395,
933,763,383,860,605,024,307,330,702,013,516,488,440,312,746,898,919,427,351,
944,213,605,806,397,442,191,401,035,276,350,794,948,115,477,018,146,073,077,
029,920,117,674,330,194,538,394,003,284,757,276,021,101,594,611,766,517,607,
477,027,866,067,026,080,939,924,965,739,100,011,104,670,580,611,619,130,720,
344,160,717,489,528,952,463,901,380,416,603,801,232,859,757,602,859,742,235,
256,644,714,786,068,777,616,684,638,787,874,757,920,907,958,831,012,605,961,
747,896,925,415,998,882,843,101,242,197,234,051,100,525,224,469,797,381,981,
842,999,840,640,223,682,988,787,584,265,660,584,544,153,840,698,410,539,997,
662,111,133,310,060,955,080,856,154,831,453,310,963,035,861,634,331,853,948,
633,524,287,103,963,011,901,449,569,971,510,470,723,402,058,167,550,031,139,
089,749,097,196,846,343,024,691,350,905,916,676,561,221,505,623,293,069,848,
870,394,293,718,334,408,856,413,990,546,622,538,519,104,750,329,138,943,416,
146,766,313,408,433,906,624,457,127,145,582,217,601,968,781,890,486,196,946,
014,121,327,751,969,566,598,295,953,229,074,274,580,765,308,277,714,145,950,
536,772,714,868,711,248,321,808,502,587,959,777,506,444,528,783,272,193,465,
504,460,804,733,533,841,445,713,142,859,531,343,545,174,934,467,723,664,356,
764,080,121,768,879,252,770,739,988,611,590,201,118,038,528,034,330,631,118,
846,902,504,632,306,684,165,199,972,979,206,135,395,425,206,692,884,466,207,
413,445,941,414,119,431,326,648,140,855,401,255,195,271,018,583,597,837,370,
560,252,289,959,079,081,740,544,079,493,794,323,021,224,007,048,541,166,542,
609,485,467,036,557,070,907,954,710,522,508,087,166,977,609,405,375,856,138,
305,490,079,204,931,676,956,930,580,937,081,441,250,400,117,054,839,019,736,
255,170,257,685,193,410,209,671,728,189,556,917,285,959,391,245,716,390,230,
590,155,204,013,312,617,674,520,371,648,411,778,196,741,549,513,481,332,539,
756,861,208,808,328,683,237,821,797,083,801,164,335,604,794,319,297,910,140,
863,193,617,351,502,101,794,667,325,078,193,570,275,965,858,657,014,335,617,
872,753,292,393,799,997,319,099,173,762,617,593,161,408,412,467,068,109,649,
791,655,269,291,355,300,259,971,465,197,513,124,897,694,450,966,698,900,644,
135,684,059,324,030,276,715,576,670,536,414,255,105,657,892,938,683,041,545,
699,991,920,261,727,831,433,013,220,300,517,546,370,986,259,481,134,297,702,
054,763,416,397,633,277,227,975,217,778,371,185,999,969,456,362,112,808,559,
753,648,239,068,005,333,138,818,284,334,315,304,565,203,505,384,648,210,714,
556,910,730,938,360,555,835,876,055,970,091,166,042,632,135,354,789,947,089,
712,122,689,882,499,412,479,380,506,763,027,070,239,622,710,416,339,741,873,
495,407,067,851,074,831,987,120,778,937,921,922,665,267,878,654,981,054,170,
174,111,300,832,076,403,096,289,396,562,523,494,532,415,030,843,417,226,484,
919,233,107,320,984,521,225,896,230,019,658,827,968,483,130,612,853,747,831,
719,467,416,074,262,084,155,063,021,924,627,811,307,073,710,754,029,265,438,
826,980,060,359,891,148,907,270,944,040,971,724,151,961,834,045,999,747,668,
120,236,062,631,198,107,737,874,049,806,356,283,533,142,952,366,351,099,618,
693,391,478,488,822,594,547,976,492,019,466,877,305,121,952,146,841,358,890,
473,313,137,761,134,962,713,606,891,578,769,936,979,066,645,104,183,189,556,
122,663,405,109,034,783,816,284,293,347,696,567,414,096,578,495,809,975,940,
306,300,004,777,393,628,814,957,608,226,770,474,145,506,681,186,855,035,220,
267,050,902,786,404,834,550,662,110,417,921,865,350,483,043,075,978,789,670,
801,188,715,997,002,926,856,841,315,620,098,080,786,563,664,235,239,956,845,
219,265,035,932,811,516,849,650,385,808,489,706,974,130,624,546,502,333,243,
927,267,744,130,257,613,937,415,445,230,046,069,025,571,537,797,867,634,306,
178,408,221,934,575,683,807,751,127,770,154,349,157,709,834,155,986,785,145,
444,717,679,437,267,856,398,790,295,753,329,042,280,286,251,154,025,585,482,
548,628,826,526,303,058,841,954,143,546,109,224,923,047,298,171,732,489,167,
417,523,211,856,864,664,134,072,236,172,012,289,455,470,975,004,195,873,318,
277,164,698,928,695,148,873,088,569,891,305,087,711,427,812,251,188,423,561,
892,354,136,873,475,904,706,285,175,903,875,518,772,504,985,925,609,935,865,
345,482,839,620,843,070,369,709,142,798,943,512,916,779,402,441,756,634,103,
404,282,950,452,855,672,439,238,099,281,431,232,116,808,317,501,378,719,630,
273,831,055,621,799,666,592,859,401,462,044,643,721,354,254,119,542,794,985,
152,343,360,127,430,509,777,082,195,276,552,977,381,910,000,020,875,044,141,
690,536,606,223,913,408,199,481,951,988,943,250,287,379,751,218,648,030,166,
506,413,739,142,931,905,220,531,344,481,578,822,848,988,923,731,280,103,840,
536,020,556,422,914,795,895,233,202,868,289,450,119,402,700,402,841,881,932,
745,016,248,125,195,295,868,853,845,258,281,872,980,120,082,753,842,501,962,
329,467,468,836,134,793,684,914,226,310,543,046,203,760,422,183,542,799,347,
597,039,097,350,176,742,949,610,909,228,782,511,748,942,004,270,485,151,515,
321,607,565,589,358,959,372,432,551,314,686,837,577,584,296,038,957,739,569,
033,252,532,290,387,509,969,232,858,630,163,079,094,914,991,957,717,404,825,
781,601,484,587,482,852,213,887,613,328,702,512,224,124,935,627,492,449,691,
037,531,231,156,136,873,268,379,213,366,469,671,016,465,258,770,475,571,637,
367,650,665,642,294,317,516,317,285,400,921,240,704,100,404,162,297,152,304,
452,317,515,184,466,046,313,280,242,869,133,306,482,626,072,702,824,013,690,
922,214,372,553,029,249,338,814,883,704,406,121,992,022,236,554,999,582,599,
450,611,055,905,189,100,492,059,141,887,459,831,787,068,950,111,636,217,161,
943,095,161,123,643,655,995,189,634,256,715,606,836,990,574,994,592,361,302,
906,338,665,562,187,960,242,484,445,500,880,979,426,077,623,416,870,942,891,
234,001,473,744,314,759,870,150,996,078,351,813,625,259,218,007,060,958,376,
158,956,184,037,787,448,063,126,168,639,285,235,134,937,173,992,083,344,539,
037,773,985,028,138,810,222,247,395,974,951,468,853,791,832,359,022,623,542,
999,572,572,428,474,323,799,877,400,297,612,471,958,775,732,948,958,710,727,
418,501,573,147,956,246,833,543,485,093,065,700,386,414,941,889,013,537,764,
784,933,679,453,858,466,935,055,115,904,612,710,773,404,155,985,253,950,979,
351,999,848,013,975,082,235,152,001,608,264,184,663,927,426,935,766,421,481,
143,253,243,135,451,760,344,167,421,088,272,879,268,151,983,172,335,487,106,
233,281,986,470,369,625,658,938,692,443,673,054,794,431,072,110,126,408,686,
822,395,169,509,332,125,184,509,653,229,600,334,601,793,358,729,880,622,221,
192,673,725,661,180,205,144,898,759,025,102,455,136,168,601,986,186,679,353,
482,670,181,034,415,327,150,710,500,929,682,137,838,116,454,216,984,796,032,
798,787,079,494,444,633,926,679,875,111,848,466,709,743,915,124,825,509,699,
386,757,565,307,521,523,128,337,188,619,392,241,565,342,479,229,291,678,565,
527,147,440,527,197,136,758,574,594,334,464,071,601,748,294,266,514,888,764,
421,571,372,579,396,474,612,697,875,178,414,162,895,024,319,703,410,377,596,
870,956,491,131,061,427,807,550,785,514,433,432,546,906,923,612,378,951,923,
452,552,433,023,689,614,755,417,102,018,030,627,125,047,912,975,062,628,366,
794,582,542,866,317,395,941,483,999,830,003,955,595,094,420,956,327,396,364,
744,476,162,006,233,118,620,366,537,495,370,544,257,971,880,394,896,793,219,
445,377,756,442,794,717,359,980,299,665,403,482,299,551,388,937,039,411,770,
911,815,870,664,605,001,297,244,174,965,218,139,368,991,007,363,762,681,344,
296,150,665,171,348,847,681,234,205,608,925,498,210,789,039,978,696,376,028,
001,395,567,727,877,642,499,137,330,137,934,975,865,643,631,626,560,570,650,
768,458,809,189,690,352,341,198,583,210,235,906,338,541,372,958,063,883,554,
643,659,623,455,815,260,114,724,086,697,529,883,713,211,012,967,963,735,751,
576,194,357,786,644,028,747,482,989,591,453,815,170,779,078,631,855,061,638,
945,894,299,591,336,339,624,575,026,320,523,075,537,544,161,369,055,261,624,
852,151,680,953,046,314,693,851,936,132,873,225,390,356,278,691,888,442,763,
041,429,140,758,964,503,182,852,253,529,232,759,606,833,814,926,291,609,391,
295,246,293,781,279,157,332,169,640,168,175,941,234,216,017,987,336,055,754,
880,329,457,426,283,920,387,333,367,538,384,337,138,049,700,584,397,032,241,
434,867,015,653,573,559,406,785,769,427,800,158,720,933,125,432,413,804,132,
929,935,007,145,702,174,844,287,027,779,359,129,314,221,381,375,359,972,275,
619,707,154,642,781,036,592,098,480,638,626,120,754,705,644,864,691,952,227,
802,179,775,068,227,809,899,037,204,734,625,516,207,035,621,721,672,178,475,
622,189,706,139,236,531,604,273,653,640,003,424,594,392,988,029,935,679,497,
948,708,510,310,314,222,578,325,332,675,766,601,424,805,601,015,960,597,626,
089,135,444,934,035,708,655,951,048,420,687,047,724,250,111,486,284,385,615,
699,692,752,343,470,807,347,679,465,167,716,511,181,749,868,460,030,684,804,
034,394,138,434,930,215,873,787,839,980,801,121,581,260,223,184,938,381,729,
142,760,599,932,771,225,067,456,289,535,095,151,097,866,294,388,498,205,500,
517,608,071,334,914,303,025,758,159,493,882,056,684,660,671,478,020,762,817,
748,878,554,068,222,408,781,833,701,682,884,016,213,219,562,524,430,579,901,
072,044,752,854,481,605,464,454,862,029,261,051,066,268,815,637,338,262,010,
308,274,851,936,147,188,439,181,688,590,380,886,915,184,285,080,863,525,854,
220,761,559,971,538,728,709,749,608,927,826,589,592,280,888,506,303,175,700,
933,812,885,089,349,891,072,582,156,656,401,832,689,187,485,375,361,724,067,
116,545,810,413,789,295,980,175,178,154,103,935,876,555,791,365,429,599,413,
252,784,390,800,565,434,972,390,469,156,039,250,581,010,774,691,861,527,758,
579,414,899,893,503,558,258,311,650,999,897,142,793,560,315,292,938,116,690,
311,729,394,884,445,838,628,095,668,283,814,580,082,277,365,618,662,526,729,
461,422,906,511,924,650,440,739,909,020,009,839,112,086,198,501,268,525,736,
645,148,714,653,705,479,602,953,439,645,196,040,608,453,173,293,179,368,758,
023,941,225,164,619,122,162,604,860,001,017,265,489,344,035,627,820,558,508,
718,294,526,648,471,565,610,271,556,482,059,544,043,322,181,303,023,668,302,
329,423,478,547,371,046,713,877,007,422,334,942,862,115,792,943,588,718,582,
540,983,228,567,495,054,405,342,490,272,374,173,296,183,975,476,068,322,194,
965,596,476,540,235,837,002,217,417,101,520,051,553,742,042,784,641,021,532,
318,868,818,721,200,307,581,736,750,643,580,348,288,968,778,385,950,647,632,
958,958,068,265,376,429,023,918,828,855,743,677,090,668,960,444,169,149,631,
716,166,989,939,033,782,617,402,004,452,966,967,250,088,563,137,095,606,973,
832,280,965,555,506,451,111,407,274,618,786,971,255,939,346,757,920,249,348,
063,291,521,158,380,748,120,272,001,531,149,089,944,635,048,483,023,147,735,
391,966,708,206,858,110,697,421,160,234,433,966,260,052,264,168,580,755,115,
342,279,676,818,275,049,742,471,659,833,618,500,183,726,895,668,599,389,372,
943,367,220,787,289,814,755,955,945,254,908,797,618,497,274,405,835,241,480,
098,421,550,494,744,153,478,290,655,573,111,191,198,886,333,267,660,838,923,
059,072,702,605,499,196,414,419,735,432,374,290,441,529,143,403,711,503,986,
954,314,681,975,093,796,983,032,370,002,032,779,128,346,828,315,007,137,107,
774,522,653,450,002,464,559,217,324,323,029,881,934,713,211,853,297,533,569,
917,874,510,616,399,756,586,299,764,417,831,809,630,106,655,977,752,335,826,
854,129,083,487,901,585,698,406,379,903,984,486,565,898,659,207,612,119,455,
244,322,983,530,955,522,590,153,156,445,152,165,081,054,406,019,981,404,312,
170,595,485,375,281,908,015,649,447,147,157,827,855,500,279,293,911,310,904,
305,027,895,463,866,011,178,430,616,120,442,627,588,594,395,442,218,788,369,
098,605,538,315,808,425,294,001,548,418,871,551,889,471,727,470,983,821,088,
207,273,733,447,973,543,923,820,772,173,385,326,046,813,621,602,292,899,690,
713,723,462,752,806,445,932,299,161,014,674,478,152,105,280,522,735,150,721,
919,396,915,604,978,184,953,759,260,098,268,591,195,997,241,086,419,048,505,
834,204,705,540,374,540,586,471,294,408,641,036,093,167,294,493,445,455,221,
079,762,874,681,352,121,818,839,291,505,439,540,543,591,818,158,630,534,752,
629,590,940,895,394,394,656,964,329,672,273,952,954,426,415,740,497,560,128,
594,583,637,541,012,343,080,526,031,057,123,011,182,174,205,619,511,086,845,
785,218,052,300,368,224,750,334,041,434,169,574,785,413,136,741,505,827,080,
150,342,301,197,144,935,502,659,790,126,363,652,691,548,403,918,073,260,740,
256,759,630,708,709,156,474,589,296,640,912,802,252,009,673,427,573,062,553,
211,527,603,696,333,029,701,796,509,538,248,142,008,544,308,616,452,195,852,
378,874,566,649,235,363,881,156,986,159,110,298,345,382,893,924,342,035,415,
661,099,181,940,283,084,960,499,441,746,959,532,445,815,858,902,156,071,476,
017,215,280,372,181,844,896,276,296,428,013,309,528,594,776,329,677,073,596,
434,829,966,355,970,353,333,630,500,642,218,779,012,930,185,008,269,982,457,
687,806,970,030,724,605,135,582,997,200,590,731,481,064,607,003,118,751,753,
595,022,934,831,493,835,270,125,541,101,338,604,456,311,177,399,674,590,031,
821,352,060,815,632,622,705,025,371,574,157,359,503,015,378,992,257,263,914,
341,933,757,210,116,312,504,847,190,771,456,440,818,034,321,643,531,659,643,
639,175,978,456,222,645,772,601,773,586,328,649,128,741,487,901,906,953,123,
959,801,693,826,683,067,932,910,335,932,332,090,264,348,069,994,876,796,157,
937,049,583,737,504,653,721,906,412,679,258,302,633,065,208,382,619,586,497,
236,587,042,391,129,739,967,509,280,434,115,948,333,226,048,593,115,193,109,
915,297,774,463,575,014,434,215,039,561,453,718,426,348,113,265,101,608,726,
610,286,939,884,014,124,560,729,647,594,095,298,840,915,257,565,696,619,772,
983,647,333,279,738,242,590,125,141,484,444,906,585,700,670,252,765,593,066,
006,851,794,805,839,479,526,455,307,886,235,864,895,401,945,934,280,816,735,
038,748,633,301,502,944,950,757,321,329,840,696,751,525,287,665,111,708,134,
763,351,713,050,719,357,021,657,751,352,590,858,251,199,167,288,100,980,749,
810,581,554,241,185,214,902,893,732,493,382,108,576,412,382,372,403,850,101,
615,524,607,380,349,411,895,301,937,007,763,821,616,564,044,048,015,003,784,
935,205,008,342,003,981,606,142,616,634,642,766,751,778,517,481,391,982,342,
332,725,891,421,194,520,995,984,741,546,356,845,246,158,155,344,948,019,760,
832,768,178,792,446,138,338,939,917,617,377,625,919,585,240,413,133,739,744,
475,838,803,289,275,021,609,075,697,065,398,882,541,356,871,321,138,486,202,
274,066,351,238,841,377,426,173,060,574,767,518,509,024,400,422,164,434,112,
303,975,973,596,855,227,892,675,683,579,059,355,277,351,119,316,816,114,860,
000,388,245,784,909,111,167,162,232,320,812,252,907,619,425,511,698,167,267,
726,610,665,204,591,908,350,364,624,880,874,217,918,636,142,087,392,448,951,
536,562,118,859,434,342,984,991,801,571,590,794,417,962,008,977,999,295,734,
485,972,168,260,145,963,126,421,233,149,701,249,436,581,764,969,608,787,839,
699,670,129,927,118,959,236,802,063,814,733,422,511,822,076,208,517,379,302,
034,332,403,821,869,610,689,075,697,621,572,487,595,661,992,559,124,108,465,
637,563,977,238,722,531,629,056,733,996,001,062,914,303,226,004,067,854,383,
322,701,020,669,071,397,287,671,038,021,651,023,501,808,998,787,020,167,211,
604,729,699,515,238,314,857,454,715,396,522,661,095,280,459,511,103,490,825,
522,186,622,939,935,993,733,339,564,438,839,759,661,053,913,851,965,388,189,
744,015,174,772,497,286,327,011,890,815,415,696,165,258,119,322,593,718,889,
059,820,374,914,616,108,528,154,771,720,869,677,201,318,193,501,675,522,044,
640,098,116,588,498,742,874,568,477,699,046,471,756,965,174,175,146,494,731,
014,223,748,902,301,223,411,458,427,557,845,804,173,245,160,823,581,617,577,
848,739,303,979,069,970,838,472,908,658,446,792,887,724,226,802,261,198,348,
831,141,172,285,184,212,045,740,506,422,892,305,112,133,766,988,461,062,131,
237,777,937,552,626,959,417,081,669,379,770,049,633,857,966,483,251,193,266,
367,687,957,599,814,166,676,147,977,353,580,393,520,160,088,786,062,793,139,
836,486,774,069,116,106,793,092,127,412,670,333,521,529,475,791,485,564,033,
130,975,432,529,662,305,381,614,641,977,318,760,482,935,970,006,779,314,145,
785,331,956,098,601,376,875,789,054,163,752,870,141,545,863,963,721,347,035,
103,788,188,377,099,414,975,195,970,477,110,837,098,477,418,274,147,289,635,
592,727,647,368,505,731,679,028,566,924,400,432,305,878,714,184,951,249,120,
170,993,792,076,852,802,138,071,898,271,854,956,906,149,393,128,634,347,890,
185,818,626,390,745,030,771,182,747,750,246,322,699,256,644,725,594,187,241,
302,954,896,676,502,570,187,659,697,986,763,351,890,865,377,096,351,672,409,
853,626,377,897,577,633,657,750,006,105,604,069,182,196,518,065,780,734,894,
938,190,572,977,987,088,027,119,180,363,378,901,511,501,748,216,039,209,203,
860,553,415,665,829,436,112,289,874,793,755,356,105,878,765,066,679,053,781,
037,572,530,209,348,526,625,699,435,844,573,168,429,919,431,457,251,371,133,
490,457,234,004,831,048,667,763,789,548,878,578,032,189,626,149,418,593,728,
492,742,861,946,621,458,897,976,371,315,380,852,245,877,980,500,300,300,539,
356,344,594,773,562,496,011,484,438,484,979,122,792,730,774,715,060,181,047,
820,028,728,411,991,839,470,507,406,101,379,268,684,418,623,172,494,708,534,
176,774,179,801,454,157,735,220,347,987,539,724,373,901,242,855,590,829,959,
699,094,322,395,935,608,848,644,441,245,411,880,853,622,845,175,000,670,849,
481,142,605,547,892,253,894,277,482,038,468,330,292,741,504,128,095,112,300,
643,843,427,441,434,734,940,452,424,725,546,750,551,443,737,353,833,292,457,
480,078,908,366,848,565,980,675,056,948,351,321,563,478,516,117,939,098,666,
507,851,850,570,578,901,919,907,805,070,050,609,133,112,107,694,048,408,115,
846,865,985,135,822,482,325,087,865,293,110,372,774,762,289,119,125,660,660,
774,436,104,506,718,374,851,572,572,384,619,120,669,594,760,835,312,377,269,
046,008,362,235,033,635,144,722,573,910,195,025,476,024,212,641,039,384,603,
995,154,592,581,967,117,126,417,700,790,866,484,211,086,671,117,640,497,128,
473,783,519,813,402,823,904,094,937,929,317,252,915,716,713,050,407,948,494,
569,660,187,371,529,145,615,584,783,243,732,875,210,121,734,448,709,243,892,
404,290,081,390,990,342,170,778,248,924,193,401,217,801,694,927,536,949,749,
672,502,083,051,065,345,674,096,725,610,470,222,968,087,623,355,663,291,939,
024,262,420,931,946,975,616,649,584,872,864,216,493,789,460,685,239,118,513,
960,182,977,448,528,976,839,184,455,988,391,294,103,957,498,171,304,515,076,
188,323,359,565,381,530,464,389,806,984,923,836,743,252,537,872,310,616,914,
737,192,986,181,319,903,010,665,626,526,867,809,449,562,451,520,278,612,448,
571,299,692,505,269,047,448,178,801,101,540,866,793,715,192,282,944,901,096,
603,404,641,244,421,507,550,063,453,595,802,443,540,819,714,581,742,338,537,
255,609,644,788,992,207,303,843,259,187,860,073,057,777,236,262,805,012,827,
639,255,795,167,770,551,686,703,369,736,515,204,292,292,151,089,466,342,136,
078,026,666,761,374,032,498,118,317,489,670,982,896,280,590,136,507,241,104,
541,214,652,253,963,177,800,144,169,712,873,044,318,307,205,788,093,804,314,
856,074,610,867,789,109,367,595,040,541,358,605,271,014,105,648,186,437,397,
137,430,247,624,622,235,653,398,186,770,082,071,905,182,709,914,252,993,780,
373,166,230,120,689,099,272,250,390,730,351,586,199,012,287,911,186,278,585,
884,592,024,377,637,504,818,418,022,776,785,375,981,504,507,317,228,229,829,
522,769,700,775,802,763,745,582,435,431,887,981,340,830,236,842,075,659,891,
085,784,459,529,785,086,159,939,618,668,112,356,722,365,505,907,752,589,272,
546,784,868,516,314,524,214,980,750,964,737,077,986,363,726,297,695,189,641,
828,005,908,938,490,479,839,326,499,876,812,547,054,290,273,208,727,229,157,
848,521,260,497,199,665,712,521,094,221,456,109,005,377,305,949,488,049,125,
254,627,286,544,280,560,736,755,346,011,633,664,369,099,066,490,843,673,260,
660,759,363,522,138,800,231,845,386,862,659,347,184,862,129,725,858,725,558,
166,565,585,215,226,739,383,490,887,176,560,432,690,543,566,041,733,892,840,
875,050,994,232,773,531,521,124,962,575,376,203,602,742,507,931,896,352,642,
649,264,451,890,828,216,970,289,932,395,671,291,672,176,571,438,125,626,715,
531,903,162,854,597,456,470,756,968,165,973,477,795,052,016,977,658,981,894,
540,725,480,892,606,316,738,457,784,893,613,213,604,754,542,470,519,104,460,
070,550,667,743,209,929,654,186,188,952,671,994,746,111,807,516,893,370,401,
597,586,777,364,055,304,198,568,546,248,584,772,640,223,600,644,161,100,327,
718,068,206,699,368,237,574,822,384,654,592,694,124,275,653,045,410,133,538,
181,036,516,180,739,595,547,641,808,970,977,942,241,359,417,294,392,218,309,
106,866,687,265,595,852,764,350,881,325,356,753,239,395,011,595,573,311,733,
875,980,902,452,301,198,209,681,728,038,988,255,716,244,113,142,027,455,080,
723,122,548,758,628,082,124,932,804,156,925,976,927,363,041,705,142,683,984,
158,167,147,389,606,469,013,909,486,810,107,000,992,492,428,140,799,051,872,
255,772,281,165,096,569,599,861,362,973,656,123,623,441,539,939,432,490,753,
513,692,558,920,546,913,531,649,526,140,564,546,881,050,823,639,587,475,053,
787,487,124,589,520,695,027,916,476,723,120,603,210,583,061,048,775,844,648,
795,923,460,382,129,793,925,444,263,794,645,642,901,669,278,889,205,614,989,
418,286,248,646,114,955,006,277,147,653,313,664,909,278,051,839,791,515,561,
408,235,577,354,243,113,506,114,914,394,085,312,004,719,740,610,148,199,327,
436,603,871,876,308,142,293,231,173,723,002,526,059,131,044,193,019,567,163,
428,327,127,527,963,853,430,653,322,609,846,668,600,287,407,194,024,875,395,
683,157,167,569,195,359,427,030,520,085,542,919,122,422,023,830,676,649,869,
753,563,486,837,697,895,542,720,512,868,435,993,047,084,032,080,348,771,122,
862,915,181,443,828,675,090,429,168,071,579,952,791,730,477,549,451,949,068,
885,099,292,411,768,157,499,438,046,403,738,822,544,665,217,051,198,771,454,
108,562,578,253,847,678,241,862,091,278,020,495,884,789,489,942,959,418,017,
047,837,569,209,028,933,143,002,828,591,059,903,342,361,334,010,797,218,211,
859,282,319,494,881,290,394,852,069,550,116,617,497,510,638,173,526,745,012,
547,238,891,618,281,692,703,328,302,590,013,380,293,942,099,544,307,119,342,
114,053,268,375,476,648,735,459,961,787,099,698,839,031,047,759,528,183,202,
949,803,646,276,824,170,205,770,507,268,704,156,645,081,446,925,546,577,698,
700,936,086,779,606,989,552,316,279,595,041,366,470,819,288,076,039,391,353,
129,031,000,893,564,506,167,981,111,487,455,250,718,565,080,175,660,733,494,
532,494,461,731,464,170,628,973,370,034,618,146,175,462,152,296,607,014,023,
994,776,968,296,908,051,396,525,865,717,183,684,061,103,599,382,643,394,756,
936,336,000,867,955,755,758,969,916,574,736,648,719,697,552,488,054,762,294,
703,750,569,539,446,673,002,030,028,086,879,630,961,759,160,755,254,863,780,
432,219,482,767,066,240,861,255,212,368,419,644,653,834,882,340,057,026,726,
025,489,792,877,614,725,024,886,088,312,526,444,039,152,158,455,960,195,411,
397,230,887,898,195,640,454,009,670,998,235,534,902,849,420,174,217,108,328,
801,489,477,763,811,131,308,138,397,834,081,727,115,890,683,070,287,964,394,
434,815,526,440,529,772,164,107,223,746,850,733,430,882,067,421,580,015,449,
939,161,885,206,993,058,550,646,006,994,976,632,869,680,028,771,119,496,662,
956,051,306,864,974,399,433,962,495,326,248,043,665,886,670,620,902,050,847,
923,283,608,986,605,742,816,288,034,878,876,822,787,289,400,938,860,094,383,
404,678,230,044,873,915,053,112,905,137,479,053,447,406,724,272,703,296,053,
419,427,632,238,145,265,928,586,410,188,498,720,702,900,451,683,409,930,180,
650,166,042,634,776,448,584,885,143,763,652,965,046,586,391,735,483,375,638,
644,914,815,073,549,829,747,465,016,342,396,475,884,452,595,970,675,392,481,
850,959,559,523,825,389,685,343,823,917,473,181,991,504,202,581,125,176,204,
248,832,989,695,645,967,331,005,645,747,100,244,097,838,293,051,283,607,545,
344,918,252,061,563,402,990,823,125,130,992,376,353,812,481,944,016,761,667,
157,615,164,252,918,892,325,890,689,685,486,747,929,808,315,475,727,383,760,
624,716,970,087,431,850,939,363,107,436,030,083,919,002,633,519,933,159,642,
563,904,958,804,115,344,991,372,617,551,737,945,452,194,232,513,663,938,983,
238,577,817,181,500,151,721,790,041,008,644,138,701,537,086,671,806,266,791,
729,775,641,164,674,841,752,116,456,441,879,145,334,011,680,163,003,746,972,
887,536,697,108,923,687,109,971,183,922,019,665,943,569,592,985,136,544,190,
955,692,848,484,224,973,310,257,229,650,555,863,805,405,161,368,109,479,721,
691,223,125,524,626,221,857,262,125,411,883,584,341,833,847,759,529,638,688,
596,095,706,011,897,879,028,890,334,618,369,219,843,281,430,642,151,665,294,
452,392,152,997,641,033,080,353,691,789,306,404,588,031,014,964,991,967,744,
233,691,966,735,678,305,155,809,249,918,487,607,243,653,718,363,790,556,634,
225,725,730,067,070,441,048,111,208,864,033,378,101,876,070,458,065,658,976,
507,645,281,409,895,576,446,206,830,359,376,752,036,605,566,704,770,935,166,
380,802,208,925,799,156,116,045,964,588,733,187,874,915,357,504,472,038,804,
193,415,757,174,317,210,627,618,366,154,134,254,190,861,148,759,129,264,453,
276,791,417,418,019,562,272,178,392,025,800,752,757,211,725,283,304,076,203,
963,073,544,512,632,143,918,934,682,856,070,363,750,576,669,643,919,885,837,
921,019,129,898,743,126,960,637,517,694,387,683,039,878,689,988,588,535,882,
974,735,589,780,804,301,864,252,523,173,810,372,466,086,346,427,710,591,213,
816,967,655,736,309,190,436,980,990,747,969,115,460,371,476,040,532,341,010,
899,617,274,423,252,033,433,469,048,057,572,340,769,791,429,659,025,552,017,
979,237,519,329,681,650,076,089,567,614,529,772,511,597,986,559,904,023,288,
667,364,546,797,090,772,633,126,463,332,533,136,255,204,620,660,695,025,687,
770,328,342,596,109,390,957,825,524,062,498,329,070,430,587,697,329,271,545,
887,316,494,840,347,981,689,758,276,684,126,921,650,707,134,287,788,927,559,
743,771,237,983,264,799,419,433,926,068,938,112,175,834,758,434,330,851,033,
961,708,038,967,082,818,326,210,537,715,217,365,455,816,805,823,338,621,198,
774,784,621,945,762,875,939,353,897,310,831,017,581,177,643,690,137,467,334,
124,002,000,561,613,924,166,094,022,730,767,956,085,244,819,034,922,679,421,
174,768,521,315,702,233,564,792,742,420,981,179,836,940,213,307,724,030,580,
919,230,097,352,624,105,095,866,514,602,086,818,545,533,431,262,383,249,741,
442,645,443,335,374,475,362,121,860,002,320,689,414,364,580,873,158,687,906,
316,852,351,756,260,538,993,287,709,746,124,065,876,507,290,892,500,720,161,
299,306,019,424,314,146,574,073,387,801,955,258,688,372,662,700,428,560,948,
683,803,910,795,313,103,865,844,656,867,313,370,868,962,324,546,384,009,301,
840,699,438,725,015,058,981,291,026,718,566,339,317,039,079,348,017,077,387,
001,316,517,891,804,975,799,670,981,510,107,207,817,268,649,034,515,313,093,
615,361,487,099,211,986,459,377,962,734,728,192,335,561,157,100,096,641,883,
712,881,003,134,324,674,582,029,918,142,135,917,405,361,658,456,200,808,558,
638,928,949,458,359,186,168,046,202,268,229,701,016,305,975,996,230,039,732,
001,058,482,485,660,186,648,622,657,751,440,426,602,335,418,646,546,303,658,
747,093,392,643,987,544,781,769,805,209,585,884,290,200,611,353,506,589,560,
377,856,915,212,907,439,661,379,148,254,810,847,981,202,103,415,088,256,314,
620,027,345,871,057,970,470,001,857,906,506,771,864,647,634,627,127,062,794,
380,747,874,089,714,268,382,333,957,084,165,482,452,676,138,562,967,992,021,
674,088,776,572,471,877,613,785,871,948,540,026,342,587,338,363,476,064,208,
486,911,837,354,639,693,284,221,420,155,988,673,528,064,891,975,418,286,702,
362,834,363,928,012,307,718,805,674,658,350,094,567,115,990,587,232,368,010,
991,351,951,466,867,431,567,750,298,788,249,348,305,450,886,257,008,731,212,
944,393,684,953,348,543,561,087,047,227,429,654,239,020,666,640,739,605,828,
516,319,176,068,402,667,597,203,370,532,817,030,258,749,365,997,009,334,053,
179,182,850,095,828,647,883,330,430,016,643,004,447,033,465,538,308,070,052,
815,464,479,728,973,031,159,693,396,600,670,518,292,805,530,150,002,336,535,
448,970,373,796,157,481,101,507,448,013,156,852,569,503,140,071,084,536,243,
524,030,231,612,120,705,344,606,149,474,128,878,760,795,618,327,292,329,322,
969,820,915,170,936,772,637,495,564,851,699,813,427,621,942,399,684,200,922,
855,545,539,229,015,415,993,031,063,188,860,503,194,596,605,875,118,793,178,
846,129,746,760,128,461,127,822,998,181,917,064,888,422,562,487,687,469,196,
519,146,535,735,548,501,135,338,581,741,549,217,364,794,678,603,064,427,797,
640,656,273,882,289,858,392,357,803,071,505,074,842,506,314,962,164,463,321,
991,495,284,477,760,251,419,907,721,078,332,236,130,927,692,417,208,463,691,
966,203,513,027,152,833,738,570,391,500,096,437,463,449,540,055,628,580,079,
076,637,131,843,658,816,189,130,155,404,689,996,215,680,598,895,641,269,855,
427,161,381,473,967,666,657,226,214,451,271,655,695,752,374,195,014,229,669,
265,527,457,433,265,370,691,023,169,477,722,800,608,713,427,190,954,710,693,
458,520,514,137,784,238,747,140,593,320,029,433,525,640,251,685,705,818,141,
990,147,334,482,216,955,224,349,764,597,131,761,045,773,327,057,040,191,756,
412,576,768,400,466,661,702,892,814,604,562,214,320,399,765,343,232,812,578,
542,061,303,355,693,528,522,302,923,921,489,686,754,138,177,746,841,052,768,
033,724,788,587,776,404,396,250,046,478,640,288,367,518,228,825,789,348,912,
845,055,908,770,418,019,035,837,755,556,728,507,673,576,348,924,857,663,693,
897,171,621,326,588,845,749,259,294,758,336,138,507,850,811,574,574,138,258,
292,402,988,045,112,826,482,807,568,339,054,313,872,663,586,932,461,220,074,
626,923,993,791,585,408,361,866,296,297,726,409,518,724,317,478,523,260,057,
821,144,757,734,882,852,058,479,244,143,407,730,154,441,915,366,547,405,453,
270,546,786,668,347,458,718,553,927,896,442,537,774,861,027,974,791,770,588,
077,172,450,228,715,964,472,850,821,769,688,975,850,850,688,566,839,874,842,
641,208,873,580,879,030,882,630,573,369,962,941,782,002,614,984,735,878,756,
719,418,970,934,874,244,992,032,521,042,219,873,874,093,137,614,447,039,210,
552,115,898,254,694,325,504,147,182,101,782,958,420,070,330,315,609,394,587,
907,810,502,319,336,114,594,598,124,109,926,858,952,711,856,581,387,202,035,
587,748,133,085,345,522,273,326,918,109,496,240,563,097,725,144,138,191,727,
659,624,261,394,051,566,795,622,911,115,163,714,478,894,008,079,981,964,382,
732,298,838,750,972,314,736,354,537,464,953,692,661,872,398,733,862,476,785,
563,481,351,691,501,897,401,422,220,253,137,638,186,700,762,083,307,091,526,
761,254,279,636,530,156,375,520,209,593,830,796,469,098,480,942,912,223,892,
137,524,723,323,950,871,820,005,669,882,573,069,071,874,549,584,454,131,961,
336,204,539,550,673,387,641,844,409,572,969,873,824,046,046,871,281,888,471,
462,865,673,047,891,572,825,676,465,484,628,774,488,962,085,862,654,673,807,
385,293,286,344,455,945,296,317,405,883,275,164,639,586,196,429,433,672,751,
208,842,289,466,302,539,189,776,469,629,738,324,538,896,619,262,618,453,948,
618,511,052,802,141,647,971,021,899,854,966,054,912,131,851,497,321,959,347,
276,179,842,607,815,606,375,584,069,830,113,350,423,024,543,255,051,441,793,
723,705,720,142,934,817,836,954,516,306,785,814,224,984,693,361,215,179,839,
971,183,819,345,839,948,861,337,248,689,212,414,539,528,245,916,651,277,683,
561,465,444,570,003,671,395,782,791,511,712,772,654,041,096,199,108,378,022,
131,231,867,418,384,979,626,370,815,300,821,897,230,310,749,219,528,579,626,
982,098,878,486,059,847,700,533,296,467,428,918,495,783,842,076,201,763,665,
597,892,739,458,525,017,583,572,869,568,631,812,884,143,339,124,459,982,780,
905,162,642,805,307,080,495,607,851,596,872,502,237,383,654,536,567,651,097,
519,339,724,797,310,213,801,778,113,012,586,208,124,720,383,109,661,279,432,
857,846,956,182,466,301,238,165,014,604,269,712,813,066,960,738,293,257,047,
965,962,295,850,798,773,448,382,285,181,732,110,634,520,911,297,384,990,507,
473,241,576,485,206,262,127,060,761,815,153,654,109,732,862,733,204,300,157,
372,240,248,248,423,584,086,634,705,564,861,393,587,108,564,421,322,817,765,
947,542,114,088,763,370,746,018,921,066,922,086,135,516,794,745,286,486,673,
543,155,659,318,825,594,533,393,896,355,485,974,985,062,292,573,842,724,133,
824,742,925,079,393,353,220,647,125,599,969,648,456,248,141,424,796,423,653,
386,206,638,369,141,886,327,314,601,752,631,886,873,337,463,719,790,553,826,
083,371,008,017,399,145,033,603,604,449,207,476,120,878,464,073,735,167,518,
392,455,511,762,900,243,482,406,673,577,097,270,528,538,466,941,915,198,152,
599,611,246,043,287,861,249,377,373,581,163,011,956,729,421,640,959,943,490,
424,001,387,761,990,103,996,522,713,855,535,154,160,971,155,895,661,815,577,
939,200,364,931,456,195,696,518,967,316,935,518,386,737,558,118,505,002,167,
971,615,279,213,664,450,538,937,003,384,233,870,632,552,458,146,713,674,588,
244,165,738,852,648,653,060,446,775,333,471,936,213,674,361,087,227,281,455,
103,954,401,316,657,145,244,271,070,897,287,865,300,019,196,693,828,560,932,
384,231,246,550,665,792,341,726,431,017,394,574,889,831,445,080,128,039,825,
226,338,283,663,038,475,124,359,991,175,319,810,498,956,671,842,156,053,654,
566,933,642,580,660,006,121,370,702,021,562,548,283,487,996,627,190,592,334,
713,907,752,845,283,659,228,600,813,951,532,947,222,406,133,975,464,895,554,
547,190,390,595,438,979,951,188,187,741,537,032,694,847,166,385,980,209,499,
359,130,666,525,407,210,312,341,686,170,715,286,109,295,628,326,539,880,021,
975,444,986,321,524,779,826,617,217,522,332,702,290,392,463,353,265,302,610,
343,098,092,129,530,150,932,017,146,288,802,891,380,173,872,727,003,093,686,
580,406,933,317,333,470,286,458,598,796,212,122,614,687,589,179,061,145,564,
096,071,519,648,661,218,155,182,409,467,781,171,052,687,832,703,437,725,541,
039,541,931,508,888,785,934,116,093,528,589,198,814,228,783,933,351,251,088,
235,719,644,879,384,059,588,733,318,676,091,654,931,295,995,514,339,238,359,
717,772,057,373,127,803,645,230,226,937,640,203,990,645,676,622,769,587,908,
514,998,842,781,117,062,531,947,292,668,805,351,875,263,747,947,693,473,295,
453,249,088,083,243,907,029,856,210,067,225,254,034,369,037,256,551,721,584,
404,502,057,939,635,621,557,446,782,607,028,880,854,576,915,215,770,703,665,
497,418,353,791,813,916,905,977,993,760,381,731,120,488,007,094,013,026,236,
228,951,647,730,373,234,496,852,232,413,977,230,436,612,826,528,760,178,317,
773,128,849,150,626,718,484,902,298,157,993,362,709,548,346,806,360,612,409,
567,103,969,315,498,684,578,302,788,645,721,967,522,590,134,831,812,092,640,
315,178,223,253,551,895,062,437,148,326,006,606,024,885,623,574,241,806,720,
083,609,481,339,013,242,153,384,828,142,761,330,568,658,636,675,872,260,501,
416,123,022,184,498,074,535,598,188,214,258,484,283,144,483,328,540,245,037,
056,004,227,228,642,677,789,888,777,977,808,484,071,240,246,520,291,816,110,
363,561,063,817,920,052,526,700,425,593,211,534,813,162,746,449,867,222,305,
784,366,621,718,007,785,362,299,608,231,938,264,864,843,789,400,971,575,288,
497,744,640,595,576,810,571,437,369,281,997,085,151,886,941,165,952,987,121,
018,008,385,264,092,369,478,692,173,759,173,277,909,422,561,960,518,698,359,
652,001,479,079,875,703,677,396,066,533,457,770,689,230,993,942,092,821,191,
678,516,395,723,402,391,279,258,919,664,835,472,973,888,984,376,056,219,134,
667,633,921,293,398,983,897,163,144,889,320,573,255,611,395,994,270,182,991,
571,355,329,798,848,497,937,882,837,274,239,156,830,580,216,216,630,548,710,
945,369,921,376,247,499,133,675,485,111,171,097,267,847,886,569,619,017,104,
448,096,859,755,409,750,369,072,601,869,537,817,761,186,170,460,238,530,726,
190,064,626,094,474,740,872,186,844,559,858,565,145,907,128,242,371,040,734,
078,617,842,455,809,921,323,110,722,330,640,297,387,351,920,244,046,405,585,
960,166,755,661,813,865,696,526,268,859,768,834,219,032,519,470,797,739,858,
636,893,506,936,703,870,081,038,344,105,616,562,211,227,572,409,277,745,182,
584,537,982,011,635,270,779,115,313,233,572,325,352,434,769,616,940,015,647,
949,847,623,588,261,921,444,544,137,896,034,419,157,694,479,255,325,253,174,
911,518,973,216,552,956,147,656,046,380,838,105,743,726,207,647,334,581,872,
498,172,283,303,763,917,474,127,380,292,893,855,430,810,525,166,376,617,996,
687,070,341,410,071,346,849,589,668,017,235,729,353,875,977,386,796,068,923,
247,931,851,229,003,064,794,061,104,352,712,646,037,327,098,048,344,591,543,
359,021,247,331,757,382,280,444,401,927,157,483,020,450,215,742,704,024,549,
950,070,836,493,505,363,971,215,592,413,462,940,303,034,521,523,649,807,126,
999,433,420,245,962,890,587,703,338,145,072,835,617,952,692,035,931,954,643,
024,871,109,566,977,895,949,358,432,965,194,373,302,234,436,444,649,099,683,
529,377,533,480,094,562,972,908,952,279,679,889,779,045,713,288,804,182,384,
553,121,517,905,391,310,744,583,243,858,911,339,742,578,182,553,417,516,204,
995,371,942,230,169,611,399,159,954,754,330,808,962,488,302,169,656,489,362,
792,242,500,050,756,353,041,698,384,878,090,514,611,610,977,892,058,507,733,
818,063,456,757,416,004,741,205,137,485,061,878,830,139,090,150,338,652,816,
970,564,776,753,437,340,523,319,330,409,059,114,848,971,919,149,324,492,419,
583,459,449,189,776,702,228,412,745,836,920,236,094,783,679,167,086,888,126,
743,680,570,082,357,470,359,131,075,600,151,235,586,468,608,123,161,656,934,
221,778,647,244,338,567,007,885,313,831,726,492,462,525,271,224,100,042,954,
192,418,201,218,921,348,910,350,023,088,459,664,277,938,526,853,470,590,604,
288,521,298,983,560,518,612,896,756,603,505,788,038,383,334,331,550,433,650,
142,859,787,044,635,326,720,249,443,804,566,690,462,282,847,000,767,728,964,
616,635,595,078,478,250,561,119,310,453,562,233,569,678,560,571,457,459,717,
946,973,142,723,458,465,701,375,774,004,938,278,359,781,740,790,896,804,888,
332,923,835,789,651,167,945,658,887,019,585,470,691,901,150,492,847,622,854,
035,359,321,586,178,300,060,469,347,037,878,701,784,288,298,227,247,901,930,
103,659,206,237,542,224,398,743,153,318,719,590,635,623,764,486,640,628,110,
488,325,306,920,371,528,374,629,461,057,963,712,654,031,473,664,851,049,949,
779,320,782,519,242,104,581,217,459,947,872,264,454,881,579,299,184,146,367,
863,338,166,059,738,696,565,389,800,395,430,332,260,984,296,569,701,223,864,
622,304,045,798,689,090,424,775,257,547,519,507,443,814,392,819,186,251,732,
800,481,433,915,185,801,648,413,573,179,705,037,134,760,070,547,031,065,104,
325,640,319,390,033,378,647,051,675,972,639,387,944,623,572,920,113,018,058,
669,217,461,214,603,915,935,369,466,635,413,499,372,672,751,533,368,187,940,
609,993,001,859,958,507,539,796,772,154,564,834,738,290,362,735,779,236,334,
507,792,553,362,653,334,184,453,194,499,237,177,905,664,970,436,966,050,057,
281,376,638,246,534,720,356,915,394,823,514,821,170,206,992,641,593,281,593,
039,248,740,110,645,617,880,094,689,299,058,367,506,088,981,221,227,099,934,
806,045,766,407,418,766,594,806,032,268,708,669,776,086,557,452,427,002,894,
706,825,706,085,833,010,082,688,835,809,006,922,416,899,221,125,040,162,123,
107,437,977,772,663,194,263,376,859,384,369,070,934,838,446,007,978,190,778,
866,739,192,784,309,533,422,092,505,373,139,924,587,811,668,414,372,362,718,
760,464,338,171,321,674,663,700,144,767,085,603,791,535,389,925,614,348,319,
671,491,337,047,876,315,716,134,743,402,883,798,812,270,552,351,877,881,560,
483,815,564,941,059,254,859,802,601,213,955,901,365,037,452,561,118,088,381,
845,616,735,931,869,632,517,717,612,387,309,825,992,328,885,021,161,003,777,
991,944,761,267,565,910,030,564,049,559,265,271,894,248,453,329,567,232,613,
531,815,472,604,003,215,167,441,248,292,856,840,591,106,145,842,092,961,175,
184,122,398,555,019,638,107,171,935,084,010,350,352,140,600,637,061,343,648,
668,534,982,095,066,758,035,057,803,779,889,195,058,959,716,289,041,317,928,
117,368,635,959,210,206,727,201,596,150,733,352,924,516,772,439,805,725,694,
664,294,522,007,015,439,487,584,933,061,657,773,763,853,797,270,253,934,732,
847,912,291,374,735,170,092,562,058,911,776,195,554,332,317,046,956,333,460,
438,415,940,637,915,806,984,250,919,712,483,549,737,332,667,177,481,316,008,
459,573,052,510,690,831,255,457,387,354,644,733,774,622,074,882,150,473,563,
257,617,395,466,009,915,495,668,316,268,259,614,206,084,584,665,704,258,149,
124,868,157,693,909,435,936,720,652,353,927,104,224,438,843,604,439,565,161,
099,179,979,047,081,413,756,257,161,853,499,136,623,780,102,564,175,454,961,
352,521,580,450,515,792,222,643,961,346,572,876,491,194,542,228,892,719,225,
146,491,096,812,421,473,167,880,359,821,321,202,516,848,206,650,272,469,135,
581,235,453,578,216,010,847,222,037,456,733,942,321,748,518,928,678,894,741,
845,112,552,990,221,117,269,087,899,941,526,472,314,404,313,135,730,003,945,
710,681,870,832,264,738,083,305,127,104,949,235,360,256,468,123,759,347,947,
341,066,757,500,175,588,438,545,592,137,972,198,731,727,053,016,185,584,414,
360,006,323,397,993,922,322,997,301,118,754,168,045,496,608,656,165,428,891,
699,416,877,516,265,716,185,961,700,109,140,551,761,388,651,892,623,543,431,
970,204,214,002,774,426,442,713,438,039,615,059,259,187,501,266,291,097,477,
226,788,306,680,191,675,682,939,745,427,084,614,858,327,090,072,934,232,335,
723,381,832,418,869,861,654,108,948,783,434,995,226,263,999,819,642,294,213,
818,553,448,296,878,288,734,254,329,467,981,556,018,580,040,951,212,422,238,
966,471,825,699,260,631,793,621,747,796,791,577,234,841,941,991,527,773,320,
818,452,138,959,962,268,307,607,842,302,660,306,074,162,979,101,551,147,238,
563,906,475,971,471,676,750,873,365,697,531,899,584,117,178,600,701,352,714,
123,932,697,162,614,791,895,293,878,981,176,279,454,153,968,136,461,064,116,
274,200,462,982,452,262,742,702,795,222,950,876,169,758,396,416,460,551,451,
855,302,194,992,048,556,466,501,653,985,041,893,168,284,939,818,481,219,583,
501,975,139,956,242,096,691,364,212,241,041,652,489,816,414,892,349,479,905,
290,038,215,333,385,124,269,204,194,531,988,865,107,680,370,509,493,501,387,
655,804,612,047,739,050,939,734,988,966,561,524,859,644,922,108,317,104,884,
712,072,642,710,165,079,218,555,836,595,897,091,446,436,950,805,018,653,433,
515,564,654,142,234,326,335,497,900,009,325,714,127,410,721,452,155,620,136,
324,140,311,421,046,585,624,089,963,246,829,475,849,479,666,319,394,938,595,
723,986,459,685,701,421,194,706,413,543,124,595,281,429,020,206,607,095,525,
602,948,430,807,683,925,328,799,681,421,482,576,674,922,152,900,663,633,909,
634,510,773,265,615,206,378,751,280,314,691,691,705,823,914,453,796,593,858,
284,671,015,075,707,600,657,604,982,564,395,073,197,102,441,321,088,984,088,
143,010,722,608,683,482,218,262,816,797,651,547,315,179,629,149,803,970,937,
231,139,707,767,150,240,042,121,213,644,883,309,950,870,271,745,555,458,997,
051,914,119,041,674,154,508,287,555,324,683,972,097,575,667,295,322,153,117,
521,295,435,046,655,537,395,964,138,727,930,283,881,563,816,444,514,732,312,
307,252,984,680,267,584,927,533,345,512,160,240,884,595,597,517,797,862,033,
983,014,869,376,223,459,024,090,349,529,824,035,461,400,432,987,216,784,602,
253,493,413,209,971,597,893,725,658,219,212,974,567,781,089,083,094,078,504,
837,501,596,415,478,218,677,888,219,574,593,003,261,714,685,368,821,022,489,
201,586,491,540,760,037,953,567,717,734,212,663,004,011,527,489,898,017,481,
649,864,489,370,273,107,928,087,366,029,571,028,514,980,592,947,423,473,954,
649,095,594,978,374,717,844,479,391,629,825,869,279,952,255,048,674,662,838,
884,289,504,887,810,473,565,824,065,229,904,661,199,186,672,607,724,844,657,
954,797,288,181,368,294,950,780,615,351,479,355,361,489,238,863,275,716,148,
603,657,932,019,155,264,158,759,500,888,054,174,993,475,983,058,122,250,154,
092,953,373,881,120,061,857,800,568,436,122,291,775,266,805,334,948,090,011,
410,589,652,327,397,277,628,220,041,051,906,057,730,840,460,468,495,381,952,
331,134,513,979,747,297,001,456,684,832,698,418,761,020,459,034,095,248,443,
552,258,469,078,668,150,251,543,533,780,036,901,940,619,517,863,655,975,169,
305,815,093,308,257,842,321,260,729,753,470,668,409,463,672,635,215,928,102,
928,698,938,354,231,493,826,362,788,270,609,838,995,030,811,168,501,564,208,
303,254,775,860,260,110,829,550,018,305,291,825,617,173,275,276,649,017,500,
121,241,299,959,908,449,037,798,799,068,929,723,343,822,441,441,360,947,280,
946,837,412,102,841,221,007,686,005,713,901,871,085,278,916,803,400,228,184,
639,422,422,263,074,197,260,977,411,877,161,160,495,794,459,938,051,015,483,
137,676,871,920,997,458,450,457,524,021,078,980,954,828,688,664,994,809,163,
621,773,028,474,362,223,963,678,427,562,842,696,391,022,938,199,244,329,230,
579,807,718,704,445,914,369,061,999,685,290,499,040,365,746,403,240,297,565,
430,951,127,993,130,725,597,355,861,278,653,375,751,430,597,192,697,051,992,
129,957,097,795,055,493,454,891,847,804,433,079,522,782,247,460,084,680,592,
316,010,712,739,340,700,317,945,924,005,494,779,662,477,765,370,299,488,992,
459,682,057,557,052,989,274,627,474,627,473,512,815,176,520,514,574,537,854,
847,638,613,127,600,388,728,103,492,061,471,778,685,161,081,953,516,775,973,
584,012,161,565,196,538,341,943,865,479,980,770,128,445,334,519,450,133,759,
028,321,125,618,998,476,573,296,690,109,010,875,920,402,797,152,495,474,047,
468,550,972,737,608,019,632,906,781,252,538,868,797,406,008,237,173,007,274,
774,263,665,020,445,075,373,140,001,345,928,485,340,317,554,322,832,190,607,
007,162,844,231,148,259,967,460,434,095,363,981,201,089,360,845,831,938,640,
542,640,349,646,006,707,139,552,936,754,165,334,372,610,401,130,590,573,076,
246,102,876,950,822,887,876,144,462,876,623,661,632,109,161,124,638,403,245,
562,769,270,899,165,480,119,730,926,954,627,356,745,879,249,175,273,551,972,
148,380,958,438,992,748,554,932,358,790,815,105,757,540,502,201,533,008,566,
262,058,391,960,507,159,463,526,606,776,649,475,570,799,216,794,936,949,258,
634,263,319,574,030,029,901,194,598,531,538,614,198,627,645,418,208,149,472,
074,549,088,968,045,148,838,056,215,656,587,832,542,655,034,878,329,146,926,
014,636,168,789,158,738,019,198,999,649,717,674,581,266,459,225,742,783,416,
195,051,502,403,794,623,395,343,756,579,007,329,453,843,153,341,504,932,603,
356,610,950,300,227,542,501,419,919,432,565,227,119,510,099,779,209,755,726,
799,392,517,668,868,111,331,232,767,381,184,563,986,695,928,555,159,011,987,
836,589,968,476,727,015,100,036,521,922,007,962,955,845,607,406,493,462,889,
569,847,705,662,387,795,709,586,326,349,578,606,835,318,004,289,257,546,505,
808,508,854,963,285,813,380,481,382,849,249,773,688,685,730,004,129,753,009,
701,364,152,078,534,776,388,462,397,020,828,639,429,648,672,645,902,620,417,
154,168,308,667,039,804,774,081,338,724,736,044,978,182,270,322,293,688,247,
330,724,039,360,489,147,268,144,067,585,712,031,074,211,428,894,591,409,971,
396,979,286,667,655,203,042,326,118,590,830,005,926,647,453,616,301,085,584,
195,415,482,932,133,170,374,586,470,908,157,149,976,705,980,327,607,498,159,
211,799,693,671,503,345,180,552,201,854,187,191,864,001,587,027,396,482,644,
549,722,248,950,034,777,805,419,255,924,102,711,839,564,858,838,368,151,224,
648,687,861,731,223,058,556,597,149,485,064,996,828,665,047,950,170,990,840,
386,412,391,502,964,370,253,838,624,078,247,822,290,012,732,901,000,180,959,
900,053,185,187,615,248,593,714,631,976,542,649,755,277,823,612,816,338,198,
707,710,306,801,068,928,026,130,744,855,789,454,695,391,273,133,683,019,119,
098,031,022,535,575,667,770,898,512,521,546,967,178,970,896,877,175,163,376,
515,661,767,870,611,594,274,149,837,967,513,788,844,786,809,248,152,574,394,
818,448,303,301,155,813,424,852,814,066,635,521,666,418,690,959,769,632,434,
957,610,916,977,856,816,529,382,400,275,413,717,119,799,270,960,014,351,675,
031,110,436,905,777,252,079,629,438,156,220,448,352,389,062,576,246,278,663,
448,004,422,734,861,969,476,226,308,505,516,573,564,223,824,453,906,649,207,
313,342,510,749,604,439,228,402,887,717,178,963,765,576,182,503,020,657,613,
381,770,465,533,581,970,771,303,683,126,828,565,306,421,031,678,389,286,227,
838,431,883,033,039,895,082,365,487,266,241,216,098,326,783,199,235,986,179,
443,681,034,785,213,402,055,685,055,133,683,438,397,641,501,702,716,186,043,
200,736,469,715,085,433,604,149,081,407,832,617,861,491,669,495,610,475,792,
693,481,332,815,115,803,457,727,811,511,656,587,985,945,880,579,501,002,751,
239,853,794,888,169,298,332,742,626,685,619,113,343,446,305,569,627,617,214,
085,998,167,383,619,887,498,873,543,528,678,223,963,209,400,203,355,199,894,
855,586,058,047,964,741,301,882,005,801,305,522,989,173,376,861,401,275,512,
327,782,884,333,435,521,479,358,494,203,552,482,195,601,791,664,869,972,063,
315,871,509,109,197,286,291,648,186,885,066,821,589,784,382,387,889,063,495,
739,997,808,550,268,163,594,255,923,950,961,843,132,023,655,764,726,018,670,
914,676,493,853,012,732,043,164,575,557,666,928,711,473,140,278,616,340,603,
634,139,366,342,733,332,594,479,143,197,238,570,220,027,880,029,598,354,323,
378,485,422,684,481,277,140,965,378,969,365,431,853,156,981,211,179,534,774,
288,180,134,890,050,166,687,375,549,481,939,831,380,239,989,144,880,711,334,
485,788,377,542,660,021,450,095,979,813,416,183,417,497,378,615,450,948,959,
183,038,207,159,024,303,134,043,635,459,971,890,748,200,145,927,546,895,353,
180,585,679,701,634,011,288,093,045,443,893,422,510,566,722,123,137,482,934,
381,044,299,316,702,689,698,178,710,384,717,964,619,357,706,840,829,895,126,
303,690,606,925,735,942,227,259,908,497,236,824,952,145,769,347,829,013,997,
785,813,625,358,993,880,880,024,763,605,082,969,186,845,317,082,084,293,276,
718,334,157,899,077,675,993,732,868,419,011,774,750,257,788,535,447,692,898,
864,334,978,111,755,093,765,466,028,191,614,623,837,577,976,790,267,328,860,
820,271,087,671,308,862,680,087,361,101,144,064,376,129,157,114,139,281,108,
371,258,170,744,564,677,018,999,406,923,065,233,819,969,876,141,554,590,827,
502,445,643,912,847,750,358,518,620,738,975,725,702,460,399,052,956,648,007,
595,829,866,933,596,727,745,487,414,004,284,669,802,002,444,327,096,392,107,
717,976,715,673,510,441,893,853,500,011,593,436,562,877,944,922,827,602,092,
334,136,942,401,471,122,128,589,402,821,690,232,746,155,757,985,781,836,012,
686,291,410,034,318,485,344,911,120,867,336,457,830,017,598,166,438,800,819,
196,847,556,047,018,261,352,648,074,163,968,523,494,966,274,881,439,663,794,
330,462,210,863,863,703,398,316,109,478,294,738,863,993,924,332,749,435,218,
619,159,554,513,601,455,696,402,397,223,623,288,840,060,984,936,851,850,966,
323,293,819,695,270,150,803,836,191,271,975,546,783,919,508,793,185,905,276,
520,018,887,512,949,237,579,522,425,898,292,334,808,013,029,658,977,469,215,
403,269,250,072,868,964,418,634,810,416,497,519,374,533,028,486,941,055,592,
358,623,182,950,162,583,923,589,287,740,191,330,665,514,484,335,944,794,550,
484,095,384,126,981,860,980,022,495,545,652,534,272,945,059,624,784,730,238,
802,513,997,712,785,902,703,505,517,062,575,611,437,968,392,180,228,758,504,
307,242,810,803,460,171,675,234,993,856,868,982,361,636,007,083,906,800,484,
750,095,328,747,948,581,155,500,703,270,132,060,903,341,742,464,576,499,965,
333,849,924,101,060,126,682,760,397,284,684,354,445,080,849,091,477,338,272,
310,757,726,863,905,452,983,023,916,268,877,559,534,631,058,259,122,453,005,
526,103,101,699,848,177,840,154,182,764,006,319,136,605,009,539,311,316,042,
620,764,798,229,377,755,536,741,304,283,434,968,399,502,376,378,118,094,802,
017,464,987,444,516,452,949,364,613,852,646,878,546,171,014,327,760,870,406,
121,693,534,514,867,357,736,406,296,478,138,988,753,914,679,827,047,283,130,
043,490,960,722,532,049,335,996,042,982,087,847,665,255,551,228,995,997,570,
328,106,881,832,905,902,278,850,487,412,942,382,503,579,485,037,532,189,975,
356,883,888,934,873,463,237,446,272,794,112,383,102,923,188,856,488,616,150,
795,001,794,697,779,793,852,167,609,140,627,682,868,612,171,528,067,596,021,
266,342,966,891,754,735,883,515,929,842,714,899,589,395,927,509,343,541,191,
269,072,110,055,885,653,155,503,962,243,145,764,524,359,537,024,062,158,884,
421,652,156,890,328,897,666,607,535,971,587,523,198,138,877,236,562,651,091,
512,007,779,697,213,694,643,059,895,500,844,909,582,679,033,212,522,707,505,
417,840,347,032,601,594,566,259,628,620,929,565,401,370,074,635,545,605,386,
501,956,476,188,915,655,189,360,227,973,059,336,863,138,611,022,361,432,650,
022,810,914,191,642,866,373,837,725,430,329,630,370,877,372,785,318,736,065,
206,374,304,405,491,339,301,633,058,440,728,773,715,003,811,458,055,979,985,
031,286,333,372,382,207,793,576,188,164,355,829,396,359,404,266,925,591,755,
920,676,118,286,138,906,966,559,438,176,669,234,102,390,877,254,811,712,325,
909,089,653,582,214,007,144,967,392,446,227,693,458,203,778,643,574,403,783,
168,675,197,135,538,604,066,336,734,051,543,637,499,908,705,619,790,870,490,
856,541,046,985,389,967,906,627,853,681,830,278,740,954,468,787,156,835,459,
576,169,966,844,454,190,255,297,842,760,495,695,054,870,557,977,914,164,935,
137,253,008,785,249,267,444,404,611,107,308,766,221,668,147,993,205,462,174,
877,964,960,038,045,191,707,468,344,948,507,701,217,023,643,010,452,243,278,
082,481,957,781,079,251,274,104,955,337,973,995,081,299,010,935,316,515,455,
811,270,889,184,830,383,319,269,861,454,642,644,448,168,907,424,809,288,934,
253,136,654,340,833,525,870,743,662,261,306,889,027,464,515,749,680,120,571,
017,934,140,949,474,105,023,543,315,277,936,773,110,155,368,748,770,839,643,
025,966,592,939,392,904,300,319,531,488,661,851,197,721,653,843,472,598,989,
446,017,545,143,789,481,586,921,895,021,906,457,582,678,757,507,441,232,227,
190,877,335,022,410,646,238,389,815,564,052,628,491,802,827,412,020,113,799,
434,159,787,892,261,245,525,784,843,174,359,655,555,285,647,006,804,450,867,
311,509,851,270,637,595,618,206,761,675,950,479,568,744,156,882,324,541,073,
271,879,760,451,813,742,271,860,288,143,628,261,594,890,516,106,037,460,539,
659,987,693,974,548,804,498,076,875,902,974,519,613,775,417,271,765,993,247,
048,482,650,268,492,255,518,917,469,966,426,256,228,671,333,562,413,702,921,
702,501,924,918,260,903,709,689,590,411,329,181,935,320,629,798,697,364,566,
971,174,836,811,888,227,108,456,580,268,316,164,235,233,064,308,721,724,228,
037,852,802,679,692,935,270,295,960,852,414,878,974,868,934,655,190,381,927,
745,310,800,242,389,981,387,900,691,859,966,698,673,524,533,370,408,752,973,
304,615,030,043,836,133,892,842,877,235,952,605,451,410,394,936,718,362,392,
930,329,033,879,437,322,210,749,577,628,149,764,142,490,017,732,638,352,039,
458,269,080,984,623,052,275,187,461,999,449,275,278,287,802,710,286,981,194,
293,685,194,820,146,777,529,741,883,190,609,461,647,633,509,152,147,613,650,
127,127,348,163,894,382,908,358,024,379,175,861,479,652,261,385,563,648,220,
869,594,457,883,007,241,113,169,386,929,029,298,864,451,373,077,919,198,878,
541,986,349,867,938,526,172,110,620,788,996,883,244,422,675,844,367,919,900,
311,814,947,144,824,367,810,918,688,564,199,799,441,885,456,670,051,590,594,
787,006,062,883,080,944,389,905,140,232,799,549,901,165,034,245,921,468,355,
494,049,818,785,849,562,017,155,621,562,387,793,943,942,639,887,873,915,046,
212,514,525,916,497,315,594,675,721,768,497,584,091,789,285,202,038,395,371,
634,117,829,254,392,351,495,737,337,215,007,868,012,405,993,051,011,905,629,
882,662,559,267,197,456,967,069,258,063,937,670,639,941,920,162,865,786,071,
994,485,526,044,444,101,626,402,568,840,456,328,423,530,600,113,110,211,727,
215,132,285,766,711,669,891,710,154,370,049,971,701,016,253,171,857,178,831,
503,861,091,060,244,893,219,217,855,894,243,747,224,340,519,439,213,739,837,
975,645,530,935,139,563,118,643,712,175,542,068,801,419,406,878,120,440,039,
535,480,133,738,568,353,442,939,249,229,371,097,542,734,774,683,031,507,899,
585,921,772,433,930,803,136,210,108,105,659,779,694,374,545,281,783,438,562,
277,527,984,061,113,510,305,341,467,977,069,183,675,515,756,350,442,379,851,
402,072,322,822,398,028,106,922,793,158,487,494,689,457,924,018,652,797,597,
352,457,481,808,933,268,734,738,593,268,736,327,917,077,954,897,349,790,886,
237,109,445,710,758,170,885,150,438,114,006,440,467,571,640,742,442,392,135,
361,673,919,133,196,692,612,545,896,361,038,406,420,194,740,712,016,178,904,
135,180,673,680,717,692,997,230,216,825,804,064,335,837,207,248,938,765,574,
104,887,903,775,082,853,947,326,659,933,788,247,909,767,809,758,293,279,076,
464,924,806,384,265,745,172,448,391,926,475,586,881,279,772,032,800,302,579,
093,935,769,803,817,072,393,113,403,203,196,049,032,212,166,476,457,639,477,
856,337,079,750,614,741,796,835,517,089,748,252,320,505,749,025,347,915,616,
241,881,105,816,301,133,218,748,282,876,391,714,169,163,161,215,088,263,525,
866,428,712,342,757,625,856,444,723,347,951,680,033,881,763,100,655,068,276,
053,532,280,363,787,505,635,488,533,176,362,708,896,408,163,677,887,902,428,
883,043,265,297,037,873,417,649,201,313,087,757,468,301,750,078,077,936,374,
233,963,135,989,556,762,828,338,371,920,970,186,963,150,622,842,631,397,732,
185,077,836,476,697,722,458,740,794,714,041,891,992,650,876,781,476,549,933,
910,438,959,712,557,888,737,578,099,657,142,484,225,860,015,675,124,467,880,
984,252,242,427,860,688,560,866,200,277,323,273,873,324,086,370,573,292,281,
772,068,587,304,828,722,349,137,406,860,884,331,365,038,810,730,869,508,408,
116,065,380,801,673,702,254,977,200,263,363,655,615,833,240,143,220,629,793,
326,018,500,917,359,375,121,291,752,894,087,644,314,443,948,927,941,896,212,
334,892,733,677,740,969,672,537,228,784,103,532,560,918,342,817,120,206,285,
456,225,191,237,071,309,232,725,431,536,974,098,052,160,424,751,030,541,426,
889,631,698,737,150,233,085,337,669,251,396,140,376,859,974,059,013,003,378,
187,597,276,262,359,583,845,741,572,850,711,045,396,935,249,532,989,595,067,
541,843,087,916,655,607,151,438,046,244,375,485,608,687,761,548,371,305,017,
133,028,678,042,991,142,548,048,276,074,508,191,905,341,215,853,663,297,527,
708,665,044,644,597,694,952,813,558,731,210,356,627,274,406,996,250,956,726,
617,047,686,317,459,538,382,162,728,871,993,591,756,701,709,694,243,339,572,
620,589,236,018,567,611,687,767,252,238,307,440,640,658,525,449,930,590,317,
994,912,579,925,305,246,490,138,600,816,080,615,728,860,888,810,995,168,244,
027,080,191,097,737,126,875,937,115,352,254,787,323,677,775,795,859,828,300,
155,937,310,948,709,933,567,912,781,977,291,082,668,245,196,114,369,138,730,
081,690,684,119,497,237,134,616,373,803,391,928,732,996,258,064,942,542,388,
023,852,989,895,998,394,915,582,291,220,204,391,162,648,260,278,754,595,915,
355,746,619,587,662,432,668,369,363,840,082,749,410,278,612,581,993,427,258,
465,569,914,918,719,174,182,280,815,201,096,953,297,067,737,103,290,436,979,
683,248,447,731,524,885,960,475,249,859,310,646,643,376,090,194,673,251,340,
044,654,496,432,229,370,419,780,194,390,758,552,329,985,042,211,775,696,623,
015,922,197,597,258,314,562,592,320,070,586,953,707,148,276,322,226,919,794,
242,085,979,204,797,504,246,006,524,971,953,883,772,233,584,319,834,736,996,
585,160,801,594,323,800,300,358,575,281,347,920,562,963,194,197,474,778,110,
407,856,093,961,949,181,591,284,571,476,793,005,903,000,062,301,097,660,791,
680,133,945,203,503,317,259,931,518,516,074,852,597,652,043,145,078,651,132,
494,832,937,247,236,423,929,492,519,965,815,944,736,144,410,176,151,166,695,
346,763,150,375,862,256,639,180,265,677,444,470,060,311,071,848,406,659,097,
263,401,418,074,886,687,671,073,992,504,278,564,700,640,999,335,668,813,015,
944,931,100,674,330,603,173,133,807,238,159,453,616,872,548,322,162,111,724,
516,803,080,308,282,244,591,190,468,495,213,893,094,629,316,048,975,646,512,
129,725,612,621,693,651,945,706,130,845,722,701,982,696,529,376,482,612,359,
099,544,029,049,954,187,941,175,626,696,091,646,369,852,521,010,892,237,491,
660,033,260,460,849,117,707,400,782,007,604,450,846,000,320,856,396,271,468,
420,825,765,584,506,188,008,411,792,181,099,776,794,120,450,002,850,134,497,
350,302,572,621,155,246,341,940,339,415,901,140,955,290,984,507,429,671,683,
461,598,328,223,520,673,590,497,962,730,761,288,214,774,473,515,197,671,184,
415,059,998,462,679,106,077,124,395,060,460,277,268,237,186,130,723,048,444,
852,472,952,802,734,604,851,085,746,723,959,696,924,469,017,422,172,298,832,
635,468,556,327,708,732,370,125,066,295,835,972,603,498,355,756,963,245,118,
036,500,022,472,221,364,367,433,806,753,616,223,536,838,975,242,246,749,038,
903,669,717,112,403,541,534,621,474,865,630,057,301,914,408,562,991,630,215,
947,410,964,691,143,257,395,640,061,728,488,502,639,017,346,640,832,411,523,
004,374,271,797,258,838,365,708,941,799,963,859,047,040,968,814,996,009,754,
360,328,637,899,086,677,064,149,637,674,865,898,791,589,410,597,512,812,343,
463,396,997,766,607,830,517,157,288,673,710,396,336,351,734,497,472,130,604,
207,386,063,153,844,361,255,932,670,508,899,293,208,857,955,119,279,920,956,
565,084,628,700,502,977,128,371,385,182,452,310,385,024,082,068,821,645,329,
007,370,964,900,616,871,415,528,560,538,332,485,494,679,825,030,363,155,061,
985,041,826,616,385,326,375,541,988,588,489,620,883,885,624,087,543,300,062,
289,662,138,607,619,791,228,504,509,388,140,348,791,112,588,515,924,167,912,
655,249,773,891,665,105,371,683,259,319,938,577,997,738,972,454,183,088,385,
808,030,258,580,149,894,593,892,250,405,175,842,794,661,592,059,802,456,516,
431,823,932,571,779,617,496,388,968,118,580,505,226,280,891,036,261,929,387,
472,324,459,359,495,941,234,445,824,171,545,071,973,811,768,195,923,056,937,
069,142,809,988,102,195,674,844,370,654,792,708,112,046,244,079,073,438,302,
554,444,808,162,921,995,095,539,056,207,767,756,174,540,269,311,959,701,422,
850,587,471,568,863,001,307,212,094,354,488,047,279,104,264,213,902,698,984,
035,221,810,951,505,242,342,480,914,937,769,002,200,723,946,321,957,531,833,
494,825,280,966,123,242,537,486,707,438,096,684,609,978,656,843,940,695,970,
427,782,490,542,448,425,835,498,508,905,528,028,214,033,107,237,709,480,603,
461,658,749,208,505,235,732,845,752,179,236,424,830,676,906,030,691,424,022,
557,333,144,316,759,755,308,933,524,192,065,893,832,796,315,386,552,404,158,
686,253,760,867,036,823,548,514,384,860,973,322,520,091,330,469,185,470,297,
839,572,310,089,042,839,596,325,313,708,417,208,232,888,935,714,770,810,824,
011,119,777,985,786,183,177,813,544,977,078,167,260,578,017,410,001,626,566,
149,114,921,842,684,612,433,525,881,134,802,754,856,959,824,414,473,712,280,
855,918,839,359,614,577,157,520,345,981,702,723,259,639,936,712,677,067,538,
754,908,429,641,945,375,373,624,238,692,997,838,420,368,586,680,138,747,044,
086,451,851,817,732,652,573,601,299,681,582,510,113,228,093,472,357,517,647,
033,625,458,064,677,258,643,864,535,220,268,405,319,606,753,149,956,724,912,
856,209,286,987,679,835,208,632,013,799,541,171,997,076,282,091,761,128,128,
745,075,132,316,090,970,699,491,322,576,465,381,558,706,864,546,663,353,872,
705,065,384,497,096,093,041,456,221,885,432,563,323,448,284,839,460,134,631,
794,611,160,783,045,216,486,664,627,373,329,509,093,983,301,817,897,594,797,
796,539,667,086,151,871,757,115,167,195,007,354,786,562,651,749,731,296,495,
786,863,715,077,119,806,915,533,886,473,103,125,852,419,783,939,186,897,613,
652,164,027,912,599,965,607,380,160,005,598,422,912,943,548,012,398,641,924,
185,633,085,669,285,092,579,839,439,732,787,665,861,541,216,807,862,963,127,
928,071,558,221,646,512,528,091,451,526,713,149,682,767,117,040,666,900,715,
801,043,505,041,775,282,483,088,624,694,624,614,379,598,242,258,481,564,975,
590,572,393,018,615,216,119,341,216,906,228,828,241,139,906,398,198,125,894,
233,015,809,114,068,873,739,561,152,978,193,822,675,277,031,715,125,934,206,
695,182,216,929,929,304,388,232,090,881,853,269,706,236,505,114,861,781,312,
286,680,312,143,346,348,007,292,758,292,723,463,071,173,902,741,142,998,922,
208,518,223,913,865,784,529,097,258,420,637,265,616,750,500,715,753,339,271,
095,746,141,280,865,392,058,174,931,778,319,931,303,954,549,028,523,199,834,
630,427,419,664,696,296,360,418,595,029,969,730,642,747,562,756,579,858,775,
610,418,806,982,167,430,004,618,898,033,172,708,471,230,800,000,485,793,796,
264,154,137,294,865,900,078,824,897,059,269,972,309,661,524,273,060,965,297,
912,697,714,935,515,130,709,097,602,248,972,044,865,212,778,896,774,944,339,
044,920,414,790,663,703,489,326,593,104,293,565,718,587,583,779,670,324,750,
245,294,029,720,573,060,105,550,516,016,615,007,555,281,368,744,418,186,531,
003,186,255,242,542,043,381,717,833,680,775,651,397,955,249,994,356,224,749,
577,583,109,891,483,191,133,953,976,594,346,160,414,252,532,780,002,415,960,
324,384,049,014,674,251,327,905,487,543,809,461,358,875,470,518,793,366,084,
722,906,501,887,908,008,438,189,773,450,862,004,006,294,680,685,186,048,352,
010,202,210,141,528,138,830,286,877,470,776,660,291,925,578,386,870,780,841,
893,965,879,195,926,260,835,352,349,873,307,286,670,828,155,956,903,642,189,
454,049,009,628,857,116,845,922,879,240,187,982,438,290,095,396,428,704,804,
782,578,839,046,872,703,278,066,413,571,027,563,971,118,999,442,385,199,957,
355,618,423,439,009,273,512,602,323,269,877,507,088,630,232,701,508,813,292,
708,574,967,768,860,729,367,952,175,553,442,677,648,413,516,833,591,121,349,
815,644,216,437,666,953,527,783,496,838,000,080,720,588,753,601,901,740,691,
091,690,701,024,976,572,744,822,030,017,820,370,553,258,237,774,866,190,445,
117,196,516,644,525,192,588,380,399,236,175,729,804,559,597,712,103,939,233,
302,143,402,073,093,806,716,270,210,011,872,414,840,644,920,265,841,899,699,
797,530,610,524,564,722,890,673,529,795,031,266,500,888,674,118,984,497,018,
467,478,048,971,831,725,500,356,549,841,835,703,095,367,930,263,547,201,952,
761,043,787,881,686,550,073,406,173,840,838,434,034,423,066,093,221,981,618,
684,306,434,057,646,866,665,385,467,371,157,596,641,758,696,830,743,635,006,
706,956,773,486,047,007,124,498,071,336,206,826,632,267,951,343,000,178,764,
823,778,774,317,212,082,066,912,413,661,449,860,916,650,317,050,857,873,915,
977,921,912,608,605,567,605,490,090,818,058,576,136,390,477,702,876,202,373,
875,502,499,237,463,253,558,924,260,710,434,766,975,121,226,759,016,415,205,
762,377,190,501,108,916,951,024,091,548,571,971,915,075,513,561,338,268,247,
259,216,620,125,684,762,793,776,614,466,664,831,127,860,665,616,592,105,819,
837,909,143,174,368,244,683,507,337,431,686,672,117,563,369,220,686,887,281,
541,398,066,473,348,684,200,955,058,317,662,341,879,798,015,665,566,241,360,
930,374,309,763,598,052,813,042,262,888,350,595,961,149,532,657,928,454,895,
092,631,331,817,272,985,507,836,699,767,024,009,002,723,788,191,329,177,600,
536,356,016,508,911,741,292,604,291,058,321,452,196,797,911,743,488,605,144,
332,431,836,012,585,999,489,919,476,134,221,227,424,762,293,416,452,644,161,
144,278,860,957,073,527,078,284,977,636,548,962,724,155,229,093,162,757,088,
178,612,383,915,289,578,749,751,315,217,513,799,694,772,006,607,729,366,688,
281,799,837,993,465,846,982,995,073,444,099,587,914,846,919,135,821,344,489,
147,296,376,219,038,692,892,614,804,377,545,978,888,695,078,813,192,713,955,
767,655,734,998,788,579,306,737,457,599,467,973,915,054,998,087,610,152,039,
349,890,765,582,018,923,959,666,908,832,720,829,643,892,712,719,947,197,126,
632,993,053,240,259,648,842,571,215,727,628,576,821,832,754,209,200,823,809,
059,073,650,737,175,110,611,970,492,417,417,808,564,969,164,876,216,757,039,
932,836,211,225,413,560,380,791,032,130,497,882,205,730,298,250,758,402,644,
022,408,747,644,312,283,694,903,811,048,600,226,591,764,918,752,810,371,803,
810,460,313,045,349,946,525,895,246,738,763,917,333,859,485,572,827,807,675,
806,380,113,647,187,496,589,688,821,919,799,389,829,750,349,602,871,438,546,
586,552,333,306,006,132,958,171,034,669,694,375,864,739,734,419,027,323,573,
376,364,898,167,258,930,545,430,608,000,028,275,285,435,261,020,923,485,102,
242,166,669,401,424,751,691,543,451,397,887,519,845,891,396,059,657,939,131,
712,084,218,246,961,673,788,629,625,592,908,623,478,454,392,432,271,722,575,
782,372,315,905,220,809,263,289,829,906,543,346,545,116,016,948,403,772,880,
518,174,104,184,468,008,142,579,937,644,537,299,944,086,928,982,023,802,538,
361,133,860,427,007,279,652,784,090,385,485,953,154,129,180,501,875,532,428,
734,768,639,363,336,140,701,553,307,799,687,504,694,064,616,393,308,543,062,
716,717,840,334,113,971,479,299,607,935,441,431,768,439,096,262,251,281,321,
935,943,644,385,849,973,452,966,440,088,285,739,938,278,253,930,067,094,922,
607,478,086,269,857,373,950,013,688,028,858,616,057,667,218,237,931,705,334,
259,618,705,447,695,613,555,829,362,788,330,488,504,776,534,295,409,094,072,
924,870,211,148,200,467,011,607,509,201,461,512,375,849,025,311,843,842,064,
893,511,588,744,546,061,045,474,765,602,103,258,543,375,175,341,160,621,850,
143,844,522,557,121,668,192,255,395,450,651,039,229,598,084,038,262,914,640,
603,783,670,965,320,330,181,598,517,793,706,326,180,397,534,841,597,076,748,
030,570,760,753,613,450,844,445,383,825,889,422,291,637,123,535,803,146,412,
631,014,699,856,545,611,720,162,673,467,126,918,275,303,271,169,838,643,938,
427,532,266,081,435,649,939,343,852,231,336,122,284,274,509,895,282,968,767,
626,324,456,970,063,113,922,784,016,014,795,176,906,172,735,337,175,151,461,
990,691,095,552,766,744,793,464,146,039,181,340,290,517,995,419,504,728,552,
519,076,010,314,704,967,317,315,421,780,214,930,248,263,550,297,499,290,760,
429,396,191,660,466,889,827,877,428,565,481,109,878,311,244,963,552,959,629,
237,840,974,062,210,013,015,345,672,447,337,312,226,706,376,300,415,622,667,
071,005,509,705,758,276,418,330,338,931,791,827,229,198,007,711,885,772,124,
164,991,435,533,251,725,885,463,709,328,852,210,588,815,131,117,951,732,420,
206,194,454,290,735,045,577,756,528,520,656,724,006,615,981,304,613,429,832,
325,477,950,299,693,170,274,680,518,280,167,237,852,789,630,532,255,828,759,
981,272,177,564,581,402,590,853,023,244,051,801,823,541,923,679,067,885,154,
554,172,508,560,341,784,908,406,987,990,800,894,749,559,648,152,142,202,795,
964,421,523,124,513,715,904,651,146,227,988,367,719,328,598,799,151,074,263,
227,637,249,015,051,294,223,630,638,758,694,030,509,133,987,877,859,343,290,
184,600,557,002,838,987,878,876,644,067,307,603,002,115,851,494,160,484,780,
458,942,725,444,176,276,341,966,641,327,689,349,376,052,642,851,281,929,834,
314,533,076,373,403,943,432,753,320,412,067,467,151,548,864,675,558,263,200,
722,846,590,320,100,148,923,071,949,960,503,614,162,223,802,575,879,552,566,
775,631,290,720,859,436,230,487,924,349,095,989,876,011,263,676,201,040,756,
023,628,324,314,285,127,323,824,240,604,352,888,074,697,566,062,875,964,784,
120,442,101,423,361,150,281,877,165,755,684,776,252,580,365,829,295,853,819,
983,983,915,850,661,567,963,391,472,595,875,764,918,858,747,959,314,227,697,
713,362,179,910,955,891,070,956,524,853,330,256,304,498,513,776,654,057,015,
602,846,255,867,458,922,920,898,667,659,709,521,588,367,725,004,134,181,814,
750,443,729,207,319,307,241,398,737,617,829,082,550,233,342,184,109,869,662,
159,744,915,641,683,919,478,126,476,015,871,653,387,491,143,815,939,440,694,
287,459,373,571,601,819,548,757,660,400,096,606,370,402,736,897,167,929,170,
719,241,378,324,030,299,625,622,201,573,098,614,690,908,008,905,387,276,557,
616,450,232,016,302,387,681,599,951,381,819,812,479,322,374,443,726,191,553,
582,119,734,056,114,464,664,257,138,543,106,154,343,805,607,506,243,491,813,
250,964,511,108,661,733,632,253,081,073,680,250,407,220,566,873,955,710,712,
067,981,128,958,932,551,350,621,801,067,012,998,634,200,985,994,694,082,069,
037,245,482,945,096,701,622,364,949,973,328,026,467,109,332,978,367,923,719,
198,617,485,765,214,761,466,383,145,749,250,131,596,202,587,511,353,676,709,
000,134,298,358,209,618,961,917,935,333,717,419,006,642,164,545,534,756,563,
355,516,865,407,489,204,226,172,212,061,719,288,413,819,480,008,454,791,784,
257,574,792,872,706,663,744,740,558,185,432,399,469,920,931,136,235,091,282,
641,547,773,644,894,703,129,398,674,820,111,817,249,797,439,548,036,704,086,
074,262,878,890,581,850,751,289,122,327,832,382,548,548,303,530,582,929,427,
654,043,195,754,278,019,607,200,298,029,637,746,112,516,120,826,035,250,889,
826,422,591,991,169,696,371,528,069,265,770,236,499,305,748,586,297,301,662,
482,904,723,190,067,372,809,752,722,632,646,209,548,019,202,918,268,184,528,
130,635,980,072,076,429,597,314,183,297,883,229,956,186,050,777,976,128,800,
410,391,859,190,608,308,835,218,696,122,974,428,001,950,686,922,515,150,720,
543,813,506,707,255,119,326,868,755,361,012,080,044,537,645,832,548,465,830,
564,932,927,089,462,521,999,156,211,156,748,396,473,942,509,740,480,178,449,
965,864,914,178,400,107,925,666,759,101,340,317,862,952,104,717,960,838,500,
044,595,607,301,795,674,325,033,655,223,059,270,776,819,570,842,490,280,089,
687,087,164,470,182,319,661,139,186,114,450,017,001,119,953,874,818,652,692,
661,408,951,529,814,733,239,119,897,298,673,669,548,544,670,470,650,711,468,
387,742,111,864,689,450,197,653,094,923,565,892,204,351,002,673,020,088,054,
589,250,813,002,030,188,885,939,780,217,676,062,248,272,866,268,751,414,682,
628,175,480,588,490,391,681,682,763,189,424,126,255,437,972,789,813,978,541,
604,640,402,184,707,631,762,031,304,190,299,901,512,255,153,211,019,553,231,
588,068,761,523,145,045,191,266,423,323,853,821,014,835,042,137,151,169,616,
839,853,023,365,334,597,203,932,051,673,605,195,740,744,756,112,109,106,564,
343,465,856,916,189,765,253,366,556,176,792,996,735,533,577,051,387,213,153,
997,431,128,372,074,775,119,010,134,061,209,708,671,957,584,138,676,927,595,
435,499,882,467,200,441,261,080,747,841,321,215,318,464,260,190,109,706,606,
477,601,877,817,764,239,333,410,228,027,070,337,660,216,781,864,882,348,561,
976,601,538,795,072,209,958,164,830,835,503,322,399,662,845,144,606,109,124,
243,900,714,319,866,978,043,408,883,121,657,296,768,995,014,350,291,127,474,
231,977,514,071,289,012,346,272,361,337,077,124,993,298,989,433,065,639,308,
635,328,849,736,546,278,581,673,308,776,353,168,371,441,294,011,110,506,136,
735,877,355,617,203,732,823,353,816,964,060,978,941,636,684,525,793,692,242,
064,800,103,966,226,122,992,469,720,658,027,232,325,792,221,136,123,196,711,
050,202,033,926,765,939,047,027,662,341,927,478,132,815,401,477,942,124,558,
017,995,602,852,299,274,609,173,533,231,778,322,531,299,395,710,475,764,264,
038,445,541,404,816,232,369,833,906,398,349,202,694,575,292,115,338,360,482,
486,805,089,502,109,376,786,527,056,151,732,144,867,352,748,929,258,112,510,
682,891,620,639,014,415,031,136,780,865,763,304,611,911,316,779,780,046,809,
359,552,182,999,024,675,997,260,768,236,994,118,432,308,708,210,930,055,940,
176,468,542,825,168,017,773,393,776,112,657,916,299,989,486,755,260,994,194,
390,373,207,738,957,150,437,621,103,894,688,575,177,693,803,676,721,283,857,
784,960,582,600,946,019,861,440,340,417,088,520,095,799,955,618,706,771,000,
186,700,044,509,706,233,643,388,337,771,551,353,132,446,392,383,250,163,394,
630,125,111,978,527,694,880,907,238,877,537,791,218,409,184,554,772,440,672,
681,989,048,293,880,603,859,312,520,236,415,603,343,507,026,691,168,261,069,
628,260,947,529,645,411,485,064,765,170,051,430,044,855,687,301,753,646,455,
077,842,147,475,574,349,290,813,526,739,490,412,167,479,831,046,217,268,988,
128,250,792,653,165,075,071,022,596,048,398,493,953,608,709,323,978,080,742,
872,425,347,289,756,597,744,563,962,457,270,481,203,323,389,400,941,748,771,
690,744,564,198,336,846,920,578,625,622,662,220,676,051,255,127,389,995,205,
767,178,458,502,112,201,523,950,289,360,326,194,163,245,767,820,286,579,314,
409,315,487,381,461,544,266,912,628,872,781,265,515,376,588,861,474,076,947,
985,602,480,402,391,084,668,151,886,647,849,812,363,292,678,170,619,840,637,
932,381,068,760,112,565,990,804,291,614,576,055,569,634,491,558,142,370,031,
897,211,853,950,904,290,962,107,040,860,978,235,800,218,415,598,367,935,878,
677,811,000,017,195,399,114,510,352,553,259,895,252,630,036,780,187,858,378,
483,381,986,891,601,756,000,363,978,910,589,027,011,576,215,539,006,905,223,
335,672,671,279,676,619,790,257,156,326,656,914,206,203,006,711,447,595,250,
924,154,191,496,468,128,561,753,630,378,004,212,121,296,380,707,543,798,757,
095,524,577,275,645,783,514,523,439,850,051,450,798,339,817,071,724,727,869,
086,155,525,684,920,256,033,586,802,573,086,847,354,437,342,452,596,672,017,
837,379,012,136,067,642,292,928,996,124,815,359,898,904,171,387,653,922,015,
123,922,405,933,990,340,678,302,100,712,106,921,211,183,792,664,374,587,369,
179,349,401,497,796,533,141,759,742,462,257,667,342,902,658,478,439,286,716,
105,117,048,755,043,126,433,221,574,889,585,240,172,673,900,296,894,476,609,
096,238,790,520,643,101,094,519,590,482,672,451,201,442,814,662,612,962,324,
430,759,134,306,511,134,173,231,542,215,557,035,558,002,313,315,716,728,374,
610,390,551,993,853,315,452,857,342,163,228,387,211,004,505,970,111,564,087,
925,051,995,567,982,045,216,030,405,448,767,884,396,912,200,279,236,679,115,
626,661,621,805,846,421,185,087,902,873,638,807,371,447,311,161,873,420,660,
894,795,780,999,203,626,652,009,339,820,780,549,843,529,639,942,827,025,939,
030,374,847,789,025,805,081,002,545,823,973,283,395,587,460,397,928,699,614,
518,880,623,939,349,832,208,353,146,406,581,253,766,263,898,675,115,894,597,
565,853,794,877,500,500,154,592,255,492,113,792,612,688,839,943,474,599,915,
527,393,182,185,917,097,348,447,834,947,928,125,619,397,250,906,110,914,886,
633,287,019,146,960,915,715,960,006,853,761,107,580,485,284,904,615,464,823,
488,433,779,404,327,584,159,426,755,894,220,995,285,736,297,524,102,172,660,
566,626,336,631,768,562,899,206,564,992,045,189,210,991,867,793,564,582,572,
362,699,210,528,176,841,212,638,406,749,192,930,152,747,826,718,739,886,335,
435,715,465,128,922,463,810,805,347,011,384,184,183,453,546,455,271,127,453,
870,509,805,007,255,113,242,036,845,350,722,910,504,634,222,017,379,265,801,
286,586,522,942,526,395,420,470,200,588,582,291,945,668,504,143,207,679,610,
597,613,086,204,516,397,534,718,713,259,388,703,844,210,929,727,043,282,490,
411,279,124,885,869,382,820,021,732,678,117,323,950,556,721,249,247,593,850,
043,748,031,113,669,931,240,973,047,053,008,031,537,702,761,921,449,756,617,
484,458,506,746,856,828,972,841,556,081,809,081,783,282,471,741,731,808,488,
512,190,551,349,480,353,566,409,387,081,133,835,817,298,355,168,214,835,528,
269,090,591,597,010,151,769,730,093,313,525,965,023,841,652,225,487,246,111,
811,436,332,848,198,741,443,129,443,638,211,885,802,537,959,001,443,761,465,
046,209,855,984,906,322,194,012,401,894,184,572,961,298,256,351,936,861,676,
920,045,080,699,118,277,906,781,944,107,586,291,691,733,717,666,785,746,164,
386,159,370,304,428,724,958,922,134,019,129,303,294,504,370,678,320,873,977,
149,409,550,110,663,209,425,485,518,037,892,104,074,479,069,951,991,050,739,
912,335,328,494,975,179,594,625,676,851,146,689,464,975,402,704,500,639,934,
945,784,633,961,806,924,745,182,465,918,639,556,839,162,141,454,041,401,236,
507,618,857,822,184,537,665,877,333,848,444,256,421,300,863,524,774,026,407,
033,877,890,169,667,329,688,361,719,065,437,879,260,472,283,343,507,646,830,
570,665,353,764,048,546,659,403,701,231,336,418,790,705,130,464,805,831,057,
133,103,067,103,177,648,286,187,268,623,522,643,469,439,691,746,716,330,233,
589,759,818,843,776,289,491,877,052,916,540,969,917,621,351,360,232,861,647,
668,535,094,873,418,601,579,329,039,127,141,162,569,649,790,020,383,068,160,
593,048,909,175,359,158,009,145,060,160,025,620,834,402,749,473,011,198,310,
368,140,279,767,978,006,414,073,249,682,851,448,759,939,774,683,815,198,847,
997,179,809,943,578,059,859,669,480,326,208,743,349,843,261,414,790,194,420,
468,374,451,506,267,411,233,047,956,533,382,332,270,487,476,527,377,477,603,
660,890,309,553,084,562,322,630,841,043,057,768,228,036,747,006,643,389,056,
286,386,568,818,136,336,596,677,995,492,170,388,023,006,117,723,185,246,819,
696,993,992,377,991,874,273,035,065,091,657,814,293,764,151,917,460,277,151,
291,214,964,202,090,286,205,821,035,540,655,743,280,047,581,225,037,234,138,
806,235,545,561,545,615,927,673,525,652,342,504,248,714,592,292,871,031,693,
221,172,737,130,491,876,764,147,998,099,117,627,904,026,078,188,736,465,290,
205,048,154,532,734,975,367,129,982,569,572,011,812,148,330,053,981,407,397,
247,292,764,776,887,211,150,053,662,120,826,477,345,532,802,235,373,474,197,
334,377,213,218,698,529,024,871,246,761,116,368,355,336,283,358,156,010,901,
270,182,066,166,248,528,364,775,827,339,107,126,444,543,572,109,826,944,694,
540,459,343,132,021,570,797,211,081,430,536,227,584,875,737,208,410,813,787,
636,687,005,385,948,872,698,147,484,293,606,983,786,054,998,981,134,864,785,
445,370,484,490,155,998,127,659,058,774,898,431,028,710,522,870,944,492,118,
025,967,632,262,674,841,588,004,954,723,123,020,275,885,623,834,682,220,075,
546,816,178,534,250,727,578,609,461,729,747,106,859,874,867,356,657,314,766,
930,777,323,447,706,279,434,401,679,505,378,531,425,530,879,690,344,911,554,
703,137,002,991,916,706,786,110,370,611,805,165,776,817,429,625,215,342,774,
885,806,244,039,043,095,290,927,872,319,147,205,565,541,869,899,122,647,756,
036,474,271,696,671,735,463,458,460,521,871,513,166,793,399,535,459,852,379,
670,206,586,421,004,400,057,036,205,704,081,196,842,465,645,848,215,445,406,
723,282,663,490,987,776,099,634,995,244,492,666,589,404,376,033,987,701,875,
286,765,819,943,319,217,649,916,246,721,904,440,741,215,060,845,597,803,901,
678,504,986,631,513,206,712,600,322,864,077,052,547,704,118,746,204,247,724,
192,853,793,523,964,452,268,968,386,117,789,935,947,598,612,862,818,541,077,
727,040,635,379,189,716,332,190,590,960,718,975,037,118,084,233,611,907,363,
641,148,099,470,485,346,408,102,352,647,766,613,425,579,971,638,050,709,327,
971,710,083,252,275,485,043,552,168,238,472,273,569,401,507,314,168,061,798,
200,576,689,744,506,890,575,709,984,251,523,363,454,680,725,740,992,815,861,
954,300,628,031,397,339,085,359,996,039,630,122,517,867,511,576,377,711,790,
955,360,842,088,914,876,995,711,566,103,153,112,290,736,817,028,971,956,920,
623,591,246,074,725,791,476,844,540,517,605,116,264,260,766,898,392,379,305,
690,332,073,301,819,613,058,635,105,908,003,693,284,526,481,005,813,166,300,
087,745,764,847,210,521,135,675,705,883,738,575,548,866,200,513,982,926,037,
283,560,526,869,998,852,235,465,325,879,671,257,837,666,099,991,417,662,230,
652,428,783,680,255,901,698,891,810,581,676,362,186,194,360,952,740,272,103,
074,618,020,030,351,171,427,674,693,345,661,354,704,851,148,376,634,216,685,
065,083,535,995,259,116,562,261,539,048,626,370,670,195,088,583,495,772,107,
897,348,341,444,491,019,940,682,030,341,465,050,272,038,763,693,192,747,359,
467,579,802,525,427,045,955,591,871,633,655,437,204,723,489,219,038,115,527,
606,543,597,104,644,066,433,891,530,287,431,729,395,011,821,300,759,352,994,
463,523,171,775,230,062,818,778,194,626,836,218,093,649,665,156,403,355,773,
591,081,760,226,917,671,109,697,128,171,774,312,082,347,309,914,126,597,293,
180,277,829,716,165,937,849,927,630,980,994,405,456,987,806,227,160,811,463,
039,182,224,677,361,936,217,615,367,128,727,167,142,333,623,850,073,127,162,
354,613,602,999,007,860,614,662,722,456,972,761,821,963,911,250,453,396,565,
298,429,903,743,367,755,182,962,440,579,242,459,956,299,605,208,526,019,969,
669,102,817,027,101,105,027,948,800,690,354,540,899,532,208,864,069,715,443,
075,774,766,107,097,562,480,754,347,014,883,109,731,051,729,384,386,055,930,
291,805,771,262,186,947,387,914,554,088,020,617,310,071,174,494,205,477,726,
425,006,522,037,809,625,336,902,741,149,638,083,966,417,172,234,080,044,517,
763,113,519,501,152,691,556,435,924,238,117,785,887,659,192,875,029,359,832,
112,054,868,794,918,792,184,339,012,084,288,632,067,087,993,666,360,108,879,
948,678,151,808,413,837,409,814,454,782,723,928,718,061,597,256,027,358,266,
715,583,590,714,087,297,385,476,289,538,434,823,411,884,420,364,238,282,255,
903,138,507,136,274,311,381,101,247,670,003,189,994,990,291,741,293,021,402,
087,437,561,668,235,527,304,249,739,096,253,988,132,670,570,099,931,994,787,
167,837,638,950,856,028,595,198,164,280,524,317,694,520,807,366,785,386,304,
883,817,178,182,867,297,859,570,390,427,100,059,392,886,077,888,553,644,856,
933,707,929,859,270,197,621,049,130,215,792,602,707,788,054,478,001,047,353,
300,901,943,863,164,741,908,261,434,452,412,866,743,479,002,916,986,010,146,
976,344,607,709,179,939,222,530,589,230,307,647,438,745,045,549,781,977,433,
415,420,264,927,514,183,788,122,533,256,672,528,955,637,290,452,211,647,317,
269,647,622,667,294,263,793,162,757,045,103,853,312,558,388,613,395,388,816,
934,042,419,483,418,764,321,800,742,829,856,707,662,855,781,076,259,648,077,
779,571,641,333,038,977,009,989,341,641,548,764,545,427,532,878,850,922,374,
845,680,543,756,481,156,953,266,949,807,441,919,067,938,932,602,489,192,041,
225,365,038,471,144,371,157,766,476,489,390,542,290,785,719,526,142,802,617,
266,139,294,865,353,652,545,692,230,836,928,608,705,972,010,969,447,657,429,
262,707,401,210,815,836,112,642,766,274,243,406,315,470,907,630,067,168,847,
001,576,131,784,498,845,620,444,738,757,793,207,019,098,415,103,712,594,871,
067,646,923,446,816,831,686,722,209,065,535,545,805,567,696,480,552,976,341,
596,597,939,419,836,753,869,826,786,489,447,713,193,150,625,592,590,977,320,
359,653,069,896,295,195,077,765,797,073,265,087,530,663,042,818,637,342,354,
218,111,832,848,877,468,580,587,205,418,746,518,511,997,634,823,348,557,558,
145,924,918,133,052,559,021,314,779,393,940,732,917,864,705,981,775,771,936,
668,343,698,621,795,821,243,345,721,741,407,196,049,852,285,534,819,369,868,
295,136,799,247,514,745,262,678,526,138,814,565,944,498,909,489,581,653,185,
949,629,052,283,303,034,717,656,437,800,364,545,644,211,275,765,004,590,282,
158,014,362,020,622,814,499,754,226,466,273,390,143,252,524,056,478,664,166,
538,431,827,080,980,164,793,460,909,020,671,193,554,851,856,525,356,890,168,
014,597,069,206,342,823,714,756,125,875,000,352,823,976,248,184,678,932,440,
786,960,228,821,978,237,373,482,997,054,627,703,613,613,852,066,082,855,880,
018,331,691,241,067,446,187,438,510,738,696,702,996,865,292,475,377,698,382,
889,401,894,619,244,399,160,856,705,120,461,995,200,085,182,913,605,539,821,
490,349,073,566,841,012,512,458,053,509,072,835,997,497,683,709,736,529,261,
176,636,529,047,994,131,092,167,927,731,635,557,143,381,654,926,646,139,037,
781,217,429,034,735,795,628,521,914,119,552,663,843,672,065,024,201,168,938,
822,108,039,459,339,574,904,043,547,819,850,806,685,744,511,967,726,579,486,
491,284,195,597,529,060,221,752,343,130,616,407,358,550,053,353,506,131,258,
744,948,073,622,381,651,661,048,651,175,335,063,102,327,258,836,544,609,918,
526,928,847,123,485,826,493,507,803,169,021,826,907,687,548,536,140,865,392,
642,444,864,719,890,676,304,914,624,141,564,398,748,788,037,214,362,465,004,
148,390,138,865,585,820,414,399,950,177,892,975,970,769,046,978,477,825,105,
048,651,330,538,267,786,220,113,463,200,541,113,617,990,035,010,972,947,669,
192,257,313,121,774,718,292,968,011,230,441,381,665,077,152,239,015,248,652,
705,965,095,247,986,362,775,105,422,042,091,562,359,201,932,410,528,658,769,
929,463,934,398,690,572,244,583,215,603,979,007,304,562,192,008,525,666,031,
838,076,971,943,997,189,766,686,516,574,457,888,371,580,052,507,228,779,517,
887,395,202,150,766,425,335,882,446,155,181,014,158,465,549,202,943,129,892,
890,895,567,920,855,666,647,825,981,464,489,781,011,161,169,968,173,754,638,
004,082,781,591,910,308,541,906,939,220,781,972,461,220,630,172,570,116,965,
193,018,990,893,863,387,886,176,349,998,698,585,105,355,454,656,255,987,705,
500,643,825,815,527,048,300,815,106,144,755,950,564,602,806,546,464,445,601,
113,967,439,926,027,646,169,641,334,223,019,076,062,018,545,772,857,808,584,
976,461,056,106,554,604,030,088,948,830,543,745,314,679,931,961,263,341,099,
242,180,928,148,858,383,649,809,985,029,516,563,475,824,559,341,934,799,786,
599,194,390,269,795,603,239,443,327,913,673,736,393,983,240,394,416,607,209,
051,744,226,432,657,364,744,411,254,981,005,390,961,871,931,707,484,363,971,
451,980,092,825,366,669,436,305,036,595,077,751,074,204,128,082,586,317,330,
234,816,787,843,202,911,218,340,309,384,867,094,622,290,615,029,670,902,737,
893,826,441,861,363,281,341,432,709,560,162,519,743,463,154,861,684,985,770,
851,946,486,449,729,927,354,701,101,017,389,859,204,751,052,996,358,562,665,
610,566,189,738,256,548,200,247,754,922,593,001,756,178,093,771,047,248,702,
332,975,547,195,377,247,304,525,584,677,806,709,348,329,516,705,194,629,766,
393,700,077,559,698,895,054,634,321,368,778,546,869,556,142,593,758,967,155,
125,670,700,534,684,550,430,856,073,782,151,419,669,418,688,721,327,100,816,
290,201,026,508,063,809,682,485,996,179,432,406,101,295,649,887,125,006,020,
616,375,991,419,299,008,309,793,021,853,913,628,891,688,826,863,627,153,212,
738,362,504,478,573,551,381,255,390,746,332,122,828,179,476,363,102,157,631,
516,506,581,017,414,675,556,517,553,205,509,968,009,912,721,442,615,230,934,
209,031,341,947,471,342,216,761,870,852,536,849,316,559,598,685,970,686,030,
074,970,376,925,374,277,648,687,973,611,005,078,141,860,614,817,652,971,948,
099,068,479,977,656,292,013,943,872,431,888,039,286,444,608,797,969,493,855,
823,080,192,626,589,925,560,035,696,496,856,077,979,906,145,326,750,565,283,
472,677,767,004,771,568,471,796,930,367,793,774,964,051,048,290,743,036,013,
083,581,568,412,369,604,294,716,740,847,552,605,816,033,500,060,739,594,986,
815,910,499,052,519,766,729,690,630,268,989,880,352,957,874,018,341,747,323,
626,051,751,161,187,397,775,528,029,528,178,878,176,422,202,541,946,307,492,
594,812,907,412,006,435,081,062,622,713,939,338,900,867,550,016,504,611,932,
902,576,610,318,854,560,449,578,786,898,170,140,435,301,633,785,575,835,996,
248,435,596,336,531,509,946,755,726,887,906,116,806,267,919,513,778,888,248,
520,045,789,367,439,610,351,290,893,135,804,844,149,211,027,532,231,051,415,
307,882,330,102,336,535,331,296,029,785,646,275,628,465,164,470,499,202,766,
962,171,443,618,416,391,852,432,734,849,350,088,354,922,271,186,042,810,720,
845,484,613,740,069,616,514,460,562,705,467,747,042,600,166,905,656,475,454,
758,223,298,604,429,256,383,184,927,510,731,615,129,554,182,511,514,778,235,
318,187,809,251,040,702,113,537,657,149,195,209,258,442,687,227,308,205,399,
441,160,959,344,014,069,357,368,757,148,716,715,002,731,976,794,390,857,805,
532,805,320,805,915,640,302,976,816,515,032,725,758,042,582,497,269,368,146,
209,316,877,992,138,663,363,899,444,731,689,846,063,029,502,822,452,972,058,
045,934,057,799,233,140,633,943,051,115,677,189,372,988,760,617,895,005,150,
643,322,893,083,028,733,158,455,771,540,550,908,154,685,131,558,634,015,717,
168,379,322,070,765,967,901,580,210,752,243,132,045,782,539,976,621,404,697,
593,290,568,875,340,544,106,023,692,018,134,091,082,639,411,916,008,490,632,
342,819,502,137,119,649,063,275,174,479,729,873,194,798,176,843,859,975,744,
440,655,120,227,471,442,657,467,307,605,585,065,282,500,973,742,390,844,791,
076,036,063,339,874,337,526,975,932,290,938,761,601,851,433,454,286,686,565,
966,398,133,426,233,861,539,201,527,238,178,344,191,874,149,511,532,146,236,
535,790,738,177,098,534,779,325,373,081,251,315,981,553,833,047,326,369,876,
217,067,914,364,167,985,389,054,756,129,056,200,261,808,758,145,122,717,324,
090,538,719,338,150,203,209,862,600,452,997,874,057,378,063,045,234,908,436,
675,253,448,724,162,600,660,590,160,004,562,446,140,737,540,959,209,132,669,
970,091,877,759,848,199,946,788,061,587,556,352,262,325,612,819,916,590,107,
095,901,241,218,367,243,038,449,239,691,555,004,042,561,905,521,759,256,544,
064,310,324,370,448,839,654,875,401,089,264,309,873,388,014,912,347,973,430,
507,037,203,702,908,357,458,125,405,562,329,530,577,484,451,070,204,301,613,
993,830,377,249,374,029,105,745,400,524,245,560,956,216,088,879,698,807,543,
276,892,072,955,177,275,675,617,543,032,738,951,120,643,507,305,985,957,991,
784,057,996,106,935,043,491,449,614,833,416,394,106,250,365,631,450,820,017,
928,753,929,896,639,613,360,480,436,145,300,473,355,745,957,124,317,594,601,
573,675,338,871,076,133,293,111,885,592,369,838,834,939,317,510,221,899,358,
380,365,190,616,513,715,182,732,852,212,913,603,973,833,457,111,767,396,295,
789,510,430,333,299,195,140,695,300,754,257,467,525,493,543,854,201,363,174,
303,249,906,858,157,521,987,712,059,985,154,495,020,279,610,132,314,124,653,
836,305,609,921,697,033,209,976,162,295,808,340,219,211,767,683,844,881,663,
600,639,116,999,350,610,688,247,993,881,629,493,939,971,014,221,455,613,831,
901,617,082,743,030,099,779,080,582,749,913,753,863,013,382,450,803,011,102,
464,511,244,147,291,558,953,440,836,289,797,113,784,663,176,296,879,263,615,
872,988,512,553,845,233,654,207,207,406,341,509,116,837,660,680,219,261,578,
743,812,794,425,849,254,005,572,561,880,388,485,763,626,641,518,445,355,407,
228,083,152,826,312,083,557,612,298,930,981,594,354,213,866,557,039,999,231,
260,406,074,208,677,972,459,861,140,973,526,280,047,714,912,129,715,852,401,
687,918,548,723,933,994,397,981,603,290,137,925,372,185,439,727,709,202,820,
624,219,493,900,295,722,244,928,841,234,112,805,648,345,043,142,536,546,338,
233,849,582,870,614,678,676,760,174,867,200,540,914,848,067,373,691,855,835,
438,769,739,074,958,641,214,228,257,108,279,921,626,864,013,386,144,514,730,
995,685,704,150,605,811,922,584,773,263,032,137,843,290,400,976,854,534,280,
424,269,198,260,251,782,771,799,487,924,130,740,861,545,209,932,329,696,629,
766,554,950,791,876,344,177,887,465,074,037,330,888,451,874,341,027,046,291,
682,575,366,942,404,303,421,510,548,303,542,516,564,542,230,032,180,594,292,
997,868,363,557,186,144,125,128,376,184,197,012,063,175,291,984,956,703,121,
685,265,167,529,957,278,424,013,953,502,628,724,772,649,336,008,815,569,623,
410,621,879,452,662,581,577,626,510,345,320,526,378,271,444,890,584,635,911,
996,936,823,440,390,038,388,210,586,161,536,919,290,336,207,167,458,746,758,
332,669,690,863,704,171,307,496,577,838,322,775,454,881,085,891,445,796,183,
734,290,603,120,607,173,850,353,782,132,503,004,227,198,253,343,319,525,954,
468,469,575,650,986,346,568,952,151,021,414,093,118,900,788,784,351,275,992,
112,980,782,569,951,220,926,056,267,740,242,358,530,725,662,032,786,234,787,
027,857,059,411,924,229,497,794,577,381,671,842,580,251,185,778,499,065,640,
640,464,330,243,946,938,463,860,271,969,233,867,389,137,739,575,588,482,407,
034,987,929,216,621,013,329,540,393,355,860,079,699,904,969,592,714,900,251,
793,757,860,785,253,390,347,099,420,132,138,144,738,478,078,162,391,035,461,
560,388,992,842,525,728,054,741,312,956,367,646,502,144,384,141,594,567,795,
076,476,711,605,913,115,351,670,856,980,337,060,128,123,498,284,025,364,290,
740,371,228,328,743,961,120,256,018,816,958,753,676,128,590,901,030,209,889,
572,700,337,224,704,268,657,917,673,920,029,419,807,680,210,365,486,722,006,
742,518,363,787,836,014,254,295,795,576,855,314,466,721,627,139,253,148,351,
327,846,503,088,297,820,315,759,858,716,363,397,780,118,410,167,560,758,498,
117,440,574,772,355,196,885,593,938,345,952,375,840,214,642,900,715,630,196,
795,605,718,617,627,191,486,122,377,613,580,823,781,442,443,552,371,739,920,
222,121,673,595,559,154,684,080,555,509,441,803,328,398,451,878,327,761,763,
550,002,920,443,692,220,034,804,686,122,612,022,565,156,255,085,079,461,856,
213,302,248,771,595,243,484,923,761,056,906,376,662,349,704,611,731,746,475,
441,501,949,470,553,447,109,977,382,325,360,890,883,898,361,036,141,177,266,
222,476,711,221,861,841,380,029,611,618,297,124,552,457,473,255,454,582,879,
543,232,805,075,157,839,314,160,543,798,524,162,214,284,614,296,305,714,353,
013,003,827,376,144,692,986,774,565,956,221,678,203,811,766,953,250,284,389,
035,620,692,392,042,059,268,636,747,016,215,337,244,898,417,906,702,063,759,
218,432,994,089,211,159,240,818,189,132,304,777,999,978,655,671,004,684,628,
712,165,873,950,930,513,793,173,043,027,122,984,987,918,641,082,956,886,441,
323,447,755,492,533,724,651,097,839,459,496,685,596,756,524,974,494,207,326,
137,228,926,665,298,650,925,588,016,777,398,650,984,306,844,136,844,556,984,
675,154,294,384,944,508,332,146,183,404,526,252,649,520,546,486,499,527,834,
648,346,756,236,675,452,223,059,543,602,849,181,544,649,167,521,682,430,286,
235,287,874,394,138,316,131,616,913,157,501,680,391,904,087,926,850,538,410,
997,441,202,321,901,280,823,950,286,942,595,095,740,257,812,105,799,798,565,
411,225,793,278,220,446,133,439,239,095,818,350,463,595,381,901,808,639,790,
429,386,157,544,268,254,786,387,012,795,228,958,142,790,258,234,215,326,931,
298,682,305,919,796,146,643,437,527,140,922,395,556,985,965,824,089,530,871,
278,860,602,033,418,374,075,531,254,477,199,482,916,303,528,818,618,107,587,
327,848,942,050,560,562,393,405,980,742,192,971,505,859,589,646,793,621,020,
197,102,261,341,007,085,674,066,950,202,482,686,028,558,586,421,965,002,192,
103,961,266,212,869,388,182,902,765,146,548,979,946,566,719,197,313,198,176,
560,844,488,726,496,842,626,307,056,509,766,758,472,887,386,834,594,655,287,
981,171,184,969,077,179,224,740,580,816,203,735,789,024,622,917,940,450,570,
236,546,535,385,429,777,735,082,862,577,044,190,169,363,040,424,441,472,490,
933,909,905,378,330,373,577,952,419,245,494,466,347,899,503,606,381,139,621,
470,741,427,094,809,753,490,354,057,147,929,167,473,554,981,226,667,599,567,
489,529,805,873,622,287,848,883,156,718,084,200,043,749,435,582,617,281,582,
973,144,591,835,718,223,748,487,815,256,652,269,979,117,830,833,890,298,403,
475,360,868,066,183,397,777,765,606,027,833,817,713,467,521,638,072,003,353,
439,674,186,204,721,449,179,482,885,282,452,653,873,576,737,549,273,047,736,
540,362,431,187,273,713,847,729,657,829,067,004,472,084,533,237,690,453,917,
463,773,618,142,041,190,294,273,673,606,887,265,295,045,947,522,793,403,451,
702,442,921,793,522,517,844,237,746,254,000,106,790,936,378,229,874,538,507,
815,812,779,850,475,457,485,402,298,309,451,841,252,294,042,589,563,963,542,
956,648,744,204,735,370,030,017,390,773,927,867,228,103,352,827,075,005,901,
024,388,981,353,682,900,289,139,089,747,744,971,312,246,483,320,050,264,747,
851,556,388,912,764,479,997,034,533,785,628,758,217,958,290,968,083,162,640,
422,979,890,522,554,216,904,018,479,397,514,112,643,666,947,798,119,909,359,
866,026,396,258,029,101,891,198,908,317,931,744,395,593,570,538,173,204,867,
686,722,810,495,120,692,925,314,447,227,268,130,723,471,951,605,163,255,515,
729,864,361,798,108,577,532,561,658,301,243,256,700,729,688,704,675,776,139,
057,232,765,073,501,117,160,585,801,772,270,927,865,422,761,674,048,446,282,
523,334,163,999,245,356,124,015,666,754,703,619,416,395,982,454,838,145,898,
554,356,121,326,476,509,630,768,349,310,789,267,470,572,463,259,509,239,767,
166,945,253,284,200,879,960,068,241,086,711,181,012,569,064,408,070,982,501,
552,635,311,765,829,229,453,584,781,193,013,679,194,618,430,280,025,127,818,
014,254,188,617,438,989,916,020,142,431,691,666,075,288,028,687,017,520,627,
901,014,395,738,438,143,500,611,714,288,479,973,519,772,924,512,873,899,780,
604,515,211,738,500,454,398,003,606,269,297,375,742,333,416,678,900,522,926,
978,625,618,627,578,241,783,365,651,923,330,973,840,674,959,287,755,297,196,
540,369,846,155,218,732,938,969,638,602,935,633,307,360,498,554,990,996,965,
211,287,315,760,240,042,777,378,586,402,305,972,317,272,557,345,795,336,659,
427,416,816,901,465,563,056,788,332,226,070,057,399,603,015,433,795,064,932,
948,444,254,063,452,098,736,090,710,796,947,969,116,121,916,386,571,965,224,
648,916,246,176,423,229,620,766,235,973,180,664,331,921,176,468,158,577,681,
937,738,593,572,484,567,665,963,698,695,121,445,226,016,504,958,032,889,644,
344,647,113,353,432,450,539,033,329,248,911,576,524,692,120,122,503,186,030,
952,254,938,599,054,173,566,101,277,884,854,933,955,397,144,724,225,763,863,
346,162,511,770,801,672,194,248,595,523,486,749,798,239,987,201,279,991,766,
235,140,150,840,649,458,039,434,478,108,986,549,855,048,714,391,224,214,248,
873,536,330,923,043,754,182,950,346,418,384,728,475,752,872,021,321,621,771,
699,905,365,681,771,116,296,678,917,589,912,868,656,825,701,395,487,719,546,
619,909,244,818,631,281,636,539,828,109,568,394,098,823,530,327,193,660,802,
329,318,764,339,455,896,910,486,460,740,839,933,892,302,967,937,739,955,932,
407,560,984,258,539,351,970,011,157,201,692,436,033,993,279,229,896,409,807,
512,640,910,275,164,170,958,238,170,589,238,116,966,998,786,227,007,790,807,
032,702,781,207,362,829,471,132,362,709,196,677,262,603,295,840,234,220,764,
907,539,884,365,362,271,720,170,964,162,737,660,119,723,058,125,805,421,001,
480,389,830,441,246,734,274,845,194,537,007,011,425,780,724,391,413,231,540,
654,071,066,443,711,556,696,711,940,143,079,514,391,584,885,353,824,219,651,
768,517,653,076,639,299,962,096,588,368,837,233,622,977,079,156,476,134,699,
412,993,737,602,216,997,073,952,478,152,091,813,961,441,569,041,158,247,531,
202,544,501,332,633,344,831,165,952,279,137,215,284,655,805,381,541,211,308,
762,638,141,556,430,343,473,650,904,297,766,301,789,934,050,238,452,719,669,
792,354,319,750,275,256,568,224,020,744,599,421,783,669,294,195,397,976,869,
716,410,071,957,592,890,301,635,445,834,309,175,917,673,525,369,521,617,845,
077,686,471,377,414,742,025,282,746,546,391,643,067,368,250,576,386,062,748,
538,484,204,047,958,940,065,713,630,037,895,094,342,512,928,509,881,363,352,
651,843,253,392,820,539,529,906,477,069,743,912,446,010,985,195,228,051,182,
334,535,746,278,228,578,385,115,751,290,116,632,311,004,915,721,477,181,027,
097,621,463,325,514,289,567,695,918,678,175,693,679,069,407,388,699,777,131,
586,685,094,126,879,068,154,956,394,221,762,122,684,126,395,416,097,714,143,
298,719,901,644,581,400,567,602,421,034,099,023,069,835,124,400,361,947,424,
687,966,925,783,098,494,166,284,460,103,868,331,428,139,886,837,431,832,015,
074,956,062,040,870,698,259,213,477,094,194,635,832,323,759,121,027,202,970,
651,321,040,808,463,837,058,046,893,612,915,331,092,116,804,071,339,150,243,
205,453,193,864,604,835,102,157,338,911,347,262,113,773,717,270,000,484,417,
006,125,739,236,444,650,832,178,495,373,585,082,213,783,571,580,352,976,615,
161,458,503,961,180,178,026,627,853,848,212,543,992,058,553,701,117,444,496,
350,046,541,717,723,875,770,692,944,377,676,356,431,776,493,682,713,359,873,
559,427,026,469,712,519,847,757,121,463,721,566,674,150,709,399,763,443,574,
476,571,099,998,132,284,750,172,242,735,066,299,245,411,308,326,329,358,958,
637,076,335,011,316,852,384,140,740,745,122,371,175,737,496,636,678,079,371,
626,678,093,578,402,807,643,005,858,319,464,115,156,483,106,322,320,642,498,
316,715,792,913,849,485,752,225,447,606,141,249,232,873,774,818,704,964,228,
189,455,175,444,885,024,153,629,166,772,263,534,065,713,360,991,512,594,696,
490,134,135,779,093,462,578,956,549,477,493,846,584,943,550,460,883,627,701,
748,847,237,529,826,334,136,494,780,955,382,089,338,124,732,522,677,869,084,
248,367,031,871,341,889,141,571,226,674,372,333,367,511,951,128,243,462,151,
371,669,205,460,470,805,463,119,514,541,852,335,564,335,979,297,720,706,315,
861,135,082,390,728,081,858,426,670,758,641,654,280,128,005,932,058,740,328,
964,441,120,457,444,903,625,698,560,618,645,910,068,473,757,180,095,420,486,
381,630,377,006,729,410,360,970,627,268,576,729,212,698,677,485,127,035,551,
313,248,494,517,678,053,269,281,659,592,974,171,577,919,238,753,469,681,360,
421,989,606,574,681,679,036,774,513,280,512,036,924,925,919,557,736,369,392,
796,919,055,983,106,594,963,349,676,525,759,680,237,926,600,331,926,425,344,
172,596,826,599,669,848,248,574,048,774,814,357,055,140,437,805,283,982,143,
982,073,242,574,585,500,963,878,177,061,044,915,458,329,170,111,005,607,328,
302,465,225,415,368,281,167,109,163,930,983,844,898,111,042,231,740,265,693,
654,348,667,054,314,536,739,074,255,526,383,314,655,355,188,153,613,512,634,
498,724,949,748,083,842,024,553,307,177,803,707,171,449,513,247,945,724,440,
766,527,486,876,128,329,702,947,229,719,616,051,404,814,396,797,853,701,848,
869,481,401,780,162,671,251,093,709,603,825,735,981,025,952,391,826,517,662,
835,532,042,343,794,680,557,935,439,386,604,527,876,147,722,893,138,186,501,
553,118,997,573,533,290,357,153,213,371,873,642,150,879,114,042,958,022,108,
749,771,503,890,266,101,804,093,594,933,575,247,259,044,839,226,040,148,087,
266,690,613,123,689,410,623,438,573,459,317,718,153,191,542,301,989,985,168,
950,429,182,121,475,306,605,617,419,649,006,502,214,786,274,835,545,253,408,
988,736,912,258,302,892,310,692,318,788,857,017,905,729,523,843,505,159,420,
403,384,420,622,338,261,286,040,771,784,900,007,099,002,252,789,966,993,247,
818,743,669,039,621,097,009,461,080,079,689,574,430,494,589,835,240,867,701,
608,502,729,258,258,166,277,973,752,534,559,291,420,410,897,396,577,510,134,
224,330,733,632,275,430,572,342,236,538,664,664,036,356,385,427,045,952,954,
519,547,901,582,899,507,627,975,431,090,580,279,185,854,919,848,271,943,739,
947,786,777,413,052,869,305,083,863,374,629,478,208,349,605,245,140,105,448,
030,199,523,610,973,754,839,973,513,016,746,970,157,603,642,120,566,309,686,
152,960,970,910,513,841,869,955,618,374,579,651,774,465,052,587,419,831,877,
166,981,332,686,228,496,256,456,809,583,820,099,392,261,351,432,918,353,496,
424,707,587,691,439,509,576,907,660,869,540,534,703,862,989,345,641,687,500,
702,540,192,954,681,481,561,244,646,151,195,274,291,605,499,721,551,857,947,
607,463,343,646,785,067,152,044,453,027,914,097,883,190,783,212,505,229,869,
680,878,807,480,511,281,299,751,597,772,526,754,344,466,451,881,960,744,041,
215,467,043,874,800,251,902,722,237,646,002,636,312,767,514,587,949,661,573,
055,841,412,962,230,212,973,532,471,395,557,098,801,572,500,408,418,286,102,
084,723,480,494,641,170,915,949,370,947,336,273,667,242,738,759,810,166,575,
564,075,174,745,739,259,036,387,208,656,546,243,629,923,880,542,149,854,493,
179,337,745,443,308,313,199,903,157,528,976,525,515,294,591,869,794,344,750,
713,079,555,466,631,960,353,431,934,006,063,127,240,836,408,442,079,007,888,
986,705,993,071,046,233,860,584,462,011,387,995,086,618,319,826,815,043,165,
192,441,757,891,053,819,584,978,926,913,342,911,035,927,913,341,603,128,807,
694,577,729,480,994,727,775,775,675,737,679,510,292,297,636,872,347,165,022,
354,970,589,259,601,704,815,486,832,508,910,354,648,794,800,409,694,668,209,
014,783,447,756,105,289,785,667,111,668,503,115,385,623,416,522,152,045,663,
619,937,618,537,718,874,552,504,617,268,468,719,085,866,507,639,193,791,667,
153,870,988,460,952,807,010,223,182,455,041,330,338,845,799,017,153,393,252,
834,652,248,576,079,547,070,469,787,090,868,153,098,789,306,491,347,884,354,
131,212,577,130,257,401,379,839,378,765,936,624,283,625,515,059,754,338,701,
171,417,752,465,490,263,541,997,964,408,917,537,712,183,261,247,398,493,055,
948,104,928,478,405,344,513,700,776,219,378,063,672,521,340,078,715,670,969,
840,822,753,209,262,302,543,607,429,743,422,895,470,730,596,304,227,939,843,
478,580,578,255,981,916,180,987,134,303,867,199,189,907,744,574,514,480,730,
301,069,588,330,109,346,894,703,136,699,749,158,975,126,226,200,962,292,905,
669,084,554,819,319,444,510,407,704,669,260,592,582,780,908,781,093,860,099,
823,064,386,877,938,071,600,313,035,486,441,903,593,790,736,942,025,782,461,
373,871,010,405,301,363,630,298,007,812,706,104,767,327,107,754,137,842,202,
368,252,579,251,520,653,302,118,818,942,592,906,578,804,715,874,727,980,196,
720,885,661,118,764,871,558,849,784,645,495,888,852,384,903,737,150,066,336,
377,397,026,522,483,439,862,469,041,007,980,591,693,000,503,723,187,347,632,
246,995,041,727,020,373,869,615,170,174,674,956,102,498,939,229,333,195,471,
646,667,465,760,685,565,673,859,319,194,509,047,067,679,229,034,760,324,565,
061,035,732,336,504,980,011,958,525,916,278,703,592,505,275,462,981,399,155,
744,256,689,233,869,039,450,490,136,263,473,098,041,354,500,243,896,858,279,
281,034,835,186,236,316,569,446,002,355,416,551,737,094,799,871,978,448,023,
634,365,531,693,014,726,051,905,487,523,904,834,066,829,334,177,987,379,185,
079,893,600,226,245,557,127,044,945,803,980,394,576,039,614,201,831,165,098,
432,246,966,225,093,560,034,800,326,767,745,573,059,379,631,252,266,789,149,
196,652,140,467,961,947,172,332,941,123,041,029,725,104,773,422,154,992,704,
911,819,335,493,659,425,029,459,032,049,673,713,166,548,047,373,807,557,060,
942,827,403,929,244,136,424,604,355,231,881,940,208,646,637,303,333,784,332,
012,660,897,770,860,686,101,725,568,863,781,779,221,777,166,627,660,819,073,
452,541,654,717,564,056,556,194,847,048,916,147,207,475,340,543,385,367,245,
829,343,223,733,853,000,293,873,850,881,071,166,612,179,105,346,815,477,543,
276,531,155,966,481,265,512,303,028,718,159,211,092,277,118,227,646,270,684,
227,316,445,536,694,679,241,299,644,628,658,238,555,215,883,892,265,788,740,
535,455,338,794,022,103,471,415,881,171,795,880,013,824,888,569,241,698,148,
825,429,572,710,188,913,335,009,069,972,667,896,086,213,207,561,725,073,251,
449,170,364,168,732,419,983,959,404,668,540,230,735,449,440,049,577,665,521,
430,456,587,408,635,396,476,890,219,487,858,563,417,274,014,881,006,423,728,
862,190,669,996,265,977,315,023,273,245,993,948,896,878,246,972,459,184,049,
829,101,961,782,650,011,449,460,526,442,389,208,045,892,882,067,119,793,187,
862,088,248,771,796,353,485,273,623,709,508,107,051,288,348,426,385,679,987,
086,463,143,881,747,913,074,705,054,175,476,022,561,423,376,212,982,024,891,
421,757,216,504,709,593,057,701,811,429,846,722,560,672,532,189,467,452,086,
883,583,851,608,232,392,238,925,724,121,056,270,943,362,769,001,998,740,903,
303,775,913,557,155,476,415,442,313,518,331,117,031,679,268,566,637,488,955,
698,427,510,974,288,627,217,067,986,409,855,368,262,724,596,439,290,747,863,
731,292,800,994,958,479,923,317,050,027,293,074,804,730,308,632,518,512,050,
965,128,605,590,020,960,340,269,767,210,378,033,777,386,879,527,553,762,139,
567,261,418,886,328,311,858,215,007,496,888,661,084,647,192,597,754,722,343,
229,258,578,237,855,284,769,508,167,027,670,089,139,024,476,302,349,664,025,
664,391,029,651,143,319,844,747,266,216,059,792,629,192,398,014,258,139,870,
562,965,411,502,376,795,758,331,617,106,196,719,001,865,395,894,254,069,155,
065,761,161,856,204,215,306,078,006,895,338,233,513,139,674,301,129,154,760,
777,790,119,777,859,966,334,014,186,072,001,435,038,887,034,521,006,621,830,
710,534,754,458,477,391,440,743,414,305,343,616,644,449,172,795,380,618,208,
740,824,125,774,301,856,746,856,517,680,861,719,309,071,939,371,456,185,770,
204,050,724,953,849,959,845,028,925,356,524,981,065,455,644,142,206,692,985,
995,513,609,349,476,302,360,178,011,312,534,366,537,073,082,718,443,895,320,
980,806,784,059,672,984,062,453,828,770,662,375,125,136,278,425,625,396,495,
464,700,044,283,323,660,869,374,118,599,770,275,530,702,828,176,750,496,809,
112,975,115,817,243,151,911,833,547,775,566,524,070,941,818,624,138,545,840,
206,224,335,754,399,154,309,098,692,692,748,393,157,907,124,032,617,304,547,
405,992,657,053,498,194,976,665,027,584,681,476,623,395,267,490,452,967,358,
412,353,764,044,196,676,317,351,555,254,123,625,728,963,690,865,237,904,092,
372,379,363,030,457,216,642,312,531,160,961,156,148,753,148,317,132,227,211,
034,000,494,342,419,224,030,416,257,124,232,478,840,906,839,638,399,206,881,
439,319,351,226,167,070,816,791,392,225,440,344,981,384,527,777,881,671,702,
329,248,283,445,945,384,917,161,464,703,949,075,120,361,844,525,345,707,691,
956,226,555,975,268,825,415,547,528,034,641,393,953,337,033,885,728,248,383,
244,295,299,472,194,757,874,867,372,197,113,845,475,593,569,612,742,121,888,
195,052,977,273,513,465,310,270,608,336,012,099,985,339,870,288,660,071,125,
155,721,465,997,287,316,989,557,681,276,669,949,034,904,575,765,646,586,841,
491,180,889,114,774,241,401,673,100,368,538,490,824,830,316,374,508,423,172,
853,689,586,010,797,884,123,092,885,893,446,858,031,292,553,936,318,739,893,
918,713,778,123,784,876,184,573,035,359,923,902,053,469,068,579,967,831,350,
829,857,373,484,644,726,084,904,995,147,202,084,722,583,027,689,254,867,699,
563,480,672,334,768,082,710,295,689,407,638,595,666,549,992,625,893,726,862,
429,696,264,557,992,636,681,765,401,185,555,683,908,891,905,727,108,774,673,
187,108,129,347,949,818,721,870,623,552,763,642,993,019,136,044,005,554,305,
577,311,350,502,407,213,363,832,589,135,517,129,068,798,161,097,600,222,958,
484,737,042,995,347,582,951,321,525,628,816,789,419,151,390,513,972,300,594,
758,446,377,724,260,663,451,446,665,587,880,491,991,522,239,431,441,345,348,
703,127,903,953,205,809,013,973,584,144,795,057,411,730,878,110,598,357,480,
400,712,247,699,824,736,406,287,514,846,188,780,306,819,072,349,657,667,044,
190,535,602,594,885,794,596,799,425,125,703,341,562,842,384,649,555,032,519,
073,796,345,775,129,570,454,406,523,090,934,090,284,945,686,324,389,247,220,
735,514,729,000,535,809,608,492,922,746,696,656,515,575,358,452,876,806,157,
838,089,132,737,837,817,365,286,621,843,249,387,337,829,781,915,238,013,874,
059,848,247,189,440,601,725,714,911,188,400,293,752,354,807,665,324,052,840,
761,726,828,867,042,328,214,935,813,010,470,945,858,180,846,984,941,953,945,
838,394,685,670,042,442,092,878,035,955,404,812,339,920,790,515,952,737,888,
450,837,923,788,777,801,914,295,261,734,313,288,511,701,928,298,049,573,827,
547,224,647,788,466,744,461,875,655,225,023,463,917,576,506,567,556,586,737,
789,222,733,212,620,593,202,864,983,777,646,074,751,847,970,512,868,531,314,
617,724,230,160,885,640,898,720,248,226,390,513,088,476,523,319,794,201,431,
013,230,338,115,971,471,330,485,158,577,755,955,422,030,937,920,281,144,352,
263,575,758,333,107,377,876,908,229,848,935,810,082,831,958,965,041,750,345,
944,670,929,173,063,972,070,949,081,613,553,432,243,727,945,405,692,843,465,
264,003,741,823,095,621,659,683,141,840,899,166,052,920,027,047,851,000,966,
555,532,389,405,511,156,134,487,508,885,679,360,797,987,754,055,126,362,829,
813,825,509,300,150,035,481,339,872,757,929,399,042,035,977,691,367,361,392,
523,698,581,259,059,311,263,664,133,196,590,748,704,109,451,876,591,409,442,
313,744,783,295,145,700,889,809,136,707,516,725,512,367,850,723,504,393,575,
059,301,110,118,110,921,906,528,526,982,401,384,161,767,086,074,670,275,926,
963,272,183,968,601,393,448,215,078,118,103,282,459,010,401,923,948,135,322,
957,506,789,169,649,556,105,256,704,599,388,573,306,861,893,718,563,368,732,
157,535,495,965,632,300,452,700,511,892,547,663,898,517,702,768,462,087,780,
746,130,892,011,801,396,229,784,259,865,846,422,844,742,137,571,752,439,256,
095,860,528,798,793,417,534,758,654,006,405,460,816,402,334,218,381,831,138,
090,527,548,285,065,302,749,089,291,175,476,153,259,055,860,471,675,850,334,
723,943,360,749,385,725,349,181,971,689,178,656,918,688,240,300,112,082,278,
567,186,289,219,209,230,752,286,991,140,124,390,622,228,334,908,883,014,189,
266,189,308,928,283,906,503,069,874,345,624,025,915,639,330,047,740,819,545,
034,396,300,368,640,527,683,803,572,899,124,584,316,844,412,968,975,621,124,
202,977,215,799,387,747,857,697,918,829,554,510,806,528,391,869,594,382,372,
714,274,783,699,579,802,376,047,747,012,040,651,335,180,778,820,829,961,147,
788,909,436,760,771,363,572,065,267,356,788,985,761,586,701,688,292,896,643,
348,758,147,098,657,342,976,138,516,634,495,063,921,801,463,134,400,552,483,
674,973,336,151,825,608,268,272,722,631,858,598,733,710,560,798,868,838,736,
409,371,948,377,159,032,356,528,839,049,339,584,997,660,508,558,564,115,975,
076,454,121,398,274,905,236,032,110,486,831,259,827,984,618,911,931,338,056,
067,178,414,338,556,541,448,468,256,006,907,562,179,693,918,814,275,421,542,
455,751,087,501,603,825,065,259,533,485,599,409,410,746,303,998,431,259,654,
343,106,585,044,050,238,738,482,681,141,990,419,204,792,641,475,987,818,795,
594,653,677,163,823,233,282,107,431,479,504,556,851,522,431,023,337,146,301,
851,355,213,958,612,914,279,427,496,290,345,979,229,201,976,534,056,852,029,
642,427,902,887,871,423,775,236,854,121,033,823,729,659,650,889,552,703,058,
163,214,262,788,521,185,070,328,451,187,443,962,004,991,584,973,555,095,171,
735,081,055,892,490,424,230,828,756,422,048,978,904,269,729,219,393,354,629,
040,084,135,992,080,761,199,703,361,415,621,763,541,857,455,261,465,326,793,
545,642,939,893,269,797,976,822,931,499,431,459,966,168,679,400,322,962,336,
509,072,426,712,547,642,585,548,833,038,731,995,615,338,813,116,370,803,988,
375,889,829,240,968,981,218,079,472,588,151,260,070,920,117,779,468,906,092,
384,826,924,813,749,069,292,072,987,424,599,906,539,318,344,293,218,802,421,
840,419,492,656,581,793,255,412,599,774,817,291,468,902,471,632,949,781,516,
124,197,038,484,281,326,572,613,534,317,879,999,531,308,330,199,852,989,367,
990,602,131,244,471,431,867,795,744,972,710,427,887,380,921,385,261,959,172,
405,093,858,155,298,930,616,078,057,913,278,059,381,083,343,365,381,972,978,
558,722,946,182,826,504,963,406,921,645,234,880,704,186,909,797,391,007,455,
268,375,696,723,653,940,781,661,913,096,195,709,270,879,871,603,004,756,640,
458,961,784,203,181,592,010,851,853,668,225,483,483,363,750,664,429,327,014,
693,454,275,063,999,683,540,662,023,780,573,770,710,202,750,118,335,978,420,
123,845,427,594,757,728,801,292,969,482,743,046,544,891,971,080,821,294,491,
453,941,364,141,240,310,165,250,343,148,550,130,420,527,750,688,034,294,785,
422,699,702,889,381,530,242,822,090,614,319,824,055,472,097,830,483,497,058,
633,668,755,604,668,574,436,111,465,995,664,728,585,278,459,274,031,117,334,
385,478,091,100,531,117,004,832,293,479,985,230,961,911,411,120,517,931,143,
167,411,791,995,636,484,527,681,947,580,087,848,308,059,533,951,286,241,752,
960,953,012,440,053,157,039,278,910,290,627,807,909,402,426,464,475,286,754,
891,935,310,846,541,830,482,145,956,656,734,532,924,010,042,122,759,232,686,
293,453,055,086,939,583,201,616,543,159,221,943,571,428,248,281,773,679,746,
211,229,965,470,197,114,823,955,548,664,965,773,013,142,817,341,447,076,278,
764,908,618,349,459,760,805,781,155,488,212,878,195,531,944,865,747,033,594,
257,914,882,059,424,519,647,106,340,720,784,491,988,781,385,724,998,973,307,
718,190,096,536,192,635,206,099,797,364,099,500,809,625,408,108,525,530,454,
325,452,963,228,039,520,235,715,572,765,190,564,356,929,034,394,338,848,739,
915,679,239,931,681,837,204,080,414,678,587,727,955,172,258,750,738,577,130,
791,706,528,486,155,681,705,139,380,019,435,536,333,808,399,940,827,770,734,
923,965,312,038,118,209,187,817,291,340,806,661,453,993,600,263,586,058,651,
264,146,901,809,881,660,280,330,750,939,501,454,164,718,162,331,797,123,751,
024,519,930,689,642,569,673,900,291,845,127,374,216,880,829,850,578,634,097,
146,942,609,162,009,146,089,309,164,471,544,265,385,417,656,761,904,987,224,
684,981,220,205,697,949,201,968,007,941,035,927,575,241,386,724,043,034,769,
692,631,523,665,603,719,853,663,821,622,926,840,289,327,127,471,735,359,043,
554,067,555,279,917,527,186,861,599,462,232,668,295,958,928,462,165,053,548,
850,835,828,821,496,772,587,049,777,667,415,111,376,788,608,937,217,721,982,
294,437,692,318,901,857,061,176,860,941,672,643,108,480,598,963,259,238,983,
251,400,476,792,307,929,706,829,723,761,959,400,955,413,419,144,259,240,525,
400,794,340,048,717,194,275,012,255,695,519,459,498,529,881,234,960,406,793,
307,056,848,372,519,397,991,919,298,754,971,532,981,097,968,520,482,804,370,
562,142,003,371,444,899,909,117,668,558,395,923,970,004,941,084,382,296,448,
491,680,688,197,864,968,160,889,557,613,987,313,296,180,476,030,578,300,170,
712,755,656,774,583,276,119,720,765,901,979,965,249,861,433,302,793,967,243,
613,339,779,721,212,856,256,021,160,931,975,229,679,169,022,741,216,595,229,
732,182,357,016,630,442,444,845,005,992,164,999,038,773,079,766,099,625,635,
689,703,685,232,446,016,576,571,688,072,299,724,605,965,191,695,000,724,002,
908,044,861,234,796,882,666,161,826,194,066,977,198,721,004,787,957,962,689,
638,884,177,586,681,434,095,397,800,012,439,196,051,228,156,906,009,011,634,
205,265,342,192,384,244,069,680,570,729,004,607,142,138,581,981,686,369,562,
764,645,114,011,349,116,048,355,789,556,894,435,719,858,984,155,141,977,001,
345,516,036,175,300,409,197,347,362,366,643,976,689,248,991,264,094,855,724,
218,420,540,286,555,546,348,088,201,680,781,191,015,025,915,110,200,046,286,
285,991,722,889,231,804,258,251,959,596,772,306,809,909,375,408,763,187,229,
365,725,551,312,629,324,405,315,031,615,022,965,591,072,758,124,658,437,105,
953,930,506,254,378,028,300,726,978,351,884,349,516,355,003,068,462,740,555,
278,238,151,582,124,528,766,398,622,720,764,665,021,306,972,289,990,192,711,
997,265,066,884,330,954,810,165,783,771,541,385,148,998,745,560,646,455,086,
639,893,544,376,306,304,539,942,744,229,315,282,825,919,541,395,508,359,603,
672,752,763,686,604,404,255,568,345,768,960,671,630,973,713,121,413,014,187,
470,083,228,260,952,084,517,188,183,003,328,247,917,222,835,619,330,225,206,
366,701,467,759,223,475,162,678,130,429,219,405,279,883,230,703,240,163,344,
809,059,689,178,498,507,416,092,345,754,205,403,264,055,042,244,578,481,960,
668,507,632,805,183,612,444,048,714,197,125,222,837,094,510,346,971,036,924,
609,180,854,600,937,087,214,978,511,705,481,021,062,090,981,828,392,472,908,
843,567,339,868,594,192,509,677,036,032,670,931,893,078,716,900,898,769,510,
137,387,753,883,329,416,812,242,316,628,599,608,085,827,101,611,699,671,608,
256,467,123,045,199,918,395,937,347,858,633,584,450,879,512,015,371,311,306,
670,427,387,216,979,322,369,519,914,796,553,999,024,850,382,950,765,948,462,
309,077,808,617,516,699,461,566,705,457,632,093,965,858,637,208,004,119,344,
745,560,749,796,272,424,002,567,601,378,945,793,278,682,855,928,218,606,388,
714,454,113,449,196,915,262,492,678,791,866,026,336,190,849,820,334,484,607,
377,228,722,953,745,554,623,068,381,554,029,747,471,441,248,917,709,114,711,
188,081,754,057,880,297,328,138,006,317,236,429,423,545,109,563,901,361,849,
087,157,180,475,617,083,505,566,942,409,403,568,788,901,446,114,775,225,745,
072,333,217,909,080,087,685,663,366,159,921,168,584,313,697,816,616,141,203,
891,882,140,138,366,418,196,489,554,290,354,192,923,215,589,695,232,965,042,
767,087,836,323,590,541,301,029,891,420,957,011,626,587,424,140,688,516,740,
473,020,076,549,845,157,166,804,136,262,982,429,879,568,598,603,002,148,643,
919,013,733,829,795,734,584,857,018,917,478,540,135,082,449,767,440,909,063,
830,551,060,623,392,630,724,534,601,111,218,482,704,301,068,678,983,465,558,
193,781,372,273,770,157,554,548,944,932,840,813,195,523,613,171,560,991,352,
489,051,986,668,789,155,334,496,431,928,721,275,089,013,316,614,947,107,153,
648,841,009,057,335,213,121,108,911,985,386,996,918,773,193,088,085,442,787,
415,247,919,400,966,388,791,364,161,571,943,523,898,284,375,216,285,259,653,
248,637,548,754,222,751,572,448,918,234,053,766,962,860,302,835,310,837,386,
081,571,289,628,460,126,239,212,658,882,103,244,802,741,330,118,679,356,624,
290,005,786,478,336,880,537,662,093,493,429,155,019,184,612,325,198,662,089,
291,790,497,405,274,684,200,165,543,136,626,261,988,509,739,249,256,960,640,
065,929,110,933,032,372,458,856,624,895,652,512,340,035,283,608,475,212,483,
781,201,039,987,824,000,045,589,907,549,431,916,918,107,488,413,400,043,072,
355,645,344,161,549,942,580,997,883,307,013,606,805,751,457,297,843,027,993,
790,059,920,840,086,657,285,444,115,047,518,660,659,030,671,518,289,540,186,
899,971,872,047,523,136,371,002,925,375,920,921,701,714,753,015,322,023,170,
349,361,702,298,020,568,442,380,650,345,877,048,343,194,483,697,622,823,225,
718,963,066,867,248,525,065,864,874,562,823,108,617,833,500,786,200,526,873,
075,808,777,117,047,255,544,843,521,830,077,933,552,299,254,658,545,039,122,
844,596,503,845,148,348,416,528,241,047,145,202,940,795,142,762,654,183,545,
955,022,764,545,284,448,170,762,970,748,631,863,755,192,395,363,665,702,164,
474,905,055,628,395,703,987,054,489,913,474,736,830,749,827,743,191,350,258,
262,150,646,321,849,128,210,141,455,720,099,612,515,232,588,261,030,579,684,
644,263,217,841,222,345,534,702,859,680,477,646,179,561,912,019,981,810,103,
444,881,535,287,668,045,341,077,793,843,792,507,977,160,143,084,719,755,481,
350,175,841,645,144,014,332,397,442,058,976,179,641,774,318,132,511,028,162,
710,723,150,113,280,344,156,615,699,341,477,375,411,919,988,690,269,792,712,
545,040,871,577,207,108,384,462,371,783,541,720,659,405,020,539,572,340,870,
472,751,222,592,850,803,443,082,359,292,714,817,878,851,140,815,213,370,533,
790,601,053,640,462,575,486,942,302,174,174,434,829,023,218,151,638,869,415,
009,965,569,737,953,422,004,893,149,601,810,698,355,806,231,501,635,712,039,
225,278,500,846,625,636,729,573,263,248,727,636,570,782,951,879,841,826,356,
122,340,340,700,549,908,982,862,138,662,931,511,407,818,677,793,015,876,418,
643,746,341,690,670,481,390,952,216,794,517,571,740,409,594,445,434,090,720,
159,208,655,856,348,633,015,963,443,951,114,673,043,243,883,072,096,830,789,
638,203,576,774,397,742,441,644,841,756,107,423,369,053,096,358,203,995,801,
212,519,791,508,398,203,927,828,553,149,907,570,002,424,415,090,303,288,764,
513,835,759,520,082,515,867,955,164,848,929,693,264,297,812,645,163,122,280,
828,110,477,459,927,903,950,420,887,730,746,749,575,447,096,816,495,686,005,
991,948,769,751,087,072,342,839,741,558,936,813,820,612,691,169,992,542,219,
779,715,486,844,751,700,567,827,686,007,288,455,576,256,329,494,673,444,136,
490,822,713,803,360,977,858,533,018,974,025,821,540,834,204,373,809,008,985,
245,902,980,586,880,336,386,903,818,767,473,488,550,541,826,240,072,010,859,
922,664,543,889,391,885,597,545,360,300,442,124,362,895,126,286,438,933,964,
230,761,881,383,612,906,810,989,129,404,372,824,131,067,192,042,067,190,316,
944,926,772,095,056,627,530,646,632,330,933,680,902,644,253,807,904,139,333,
568,538,713,080,678,300,094,718,751,157,841,797,395,736,865,954,165,818,991,
517,728,128,030,002,668,198,196,928,817,314,140,946,919,222,641,104,296,092,
055,737,358,340,719,355,551,749,792,643,662,116,974,184,368,645,985,813,819,
256,838,465,207,190,499,208,581,188,799,881,976,372,042,680,722,016,171,667,
961,002,156,118,039,382,214,058,444,816,472,069,991,636,336,046,964,461,163,
519,021,715,015,519,580,370,353,099,133,898,684,418,995,907,214,680,137,517,
956,191,282,049,529,623,848,699,388,614,521,330,673,086,029,370,659,834,429,
860,537,395,460,650,943,612,829,091,886,967,112,229,978,699,112,647,269,160,
727,642,939,302,836,528,139,487,839,171,245,034,082,387,327,899,264,801,929,
980,827,520,417,091,738,623,376,330,903,770,373,731,605,242,996,733,275,799,
250,946,610,533,429,203,478,327,144,610,741,864,645,838,962,253,786,331,539,
027,189,723,875,274,249,151,459,261,724,301,973,800,567,841,209,625,828,970,
491,748,976,027,058,768,852,403,207,884,862,921,008,529,452,948,407,714,675,
670,511,024,160,806,759,807,334,602,290,695,873,537,995,253,628,351,377,934,
945,367,526,204,793,681,014,016,871,191,821,847,729,324,503,773,288,361,763,
854,248,560,000,893,079,139,914,572,421,811,651,209,382,802,615,268,732,002,
729,272,730,438,608,983,481,312,906,614,839,043,388,196,849,209,798,869,033,
784,694,665,393,698,026,126,766,278,419,365,256,337,026,631,582,523,828,520,
516,154,317,964,522,021,121,892,370,522,921,538,496,715,957,360,287,722,263,
131,939,185,102,621,755,825,876,160,579,436,426,947,195,201,916,967,137,227,
016,802,552,229,105,772,178,533,587,031,528,386,340,811,750,514,548,054,386,
840,813,985,240,335,488,421,799,703,513,678,258,531,387,603,117,838,114,122,
295,995,143,320,092,430,890,033,897,578,416,617,915,352,839,641,522,632,283,
989,420,765,250,636,467,582,053,016,151,534,765,878,460,349,622,895,141,424,
657,200,071,778,130,089,320,404,085,119,102,680,792,462,761,487,061,702,222,
224,377,988,790,319,525,867,047,420,612,994,897,069,148,117,679,971,080,737,
139,414,259,327,236,080,251,859,100,950,394,148,645,623,683,275,910,901,606,
401,072,926,481,610,247,223,837,801,728,788,178,536,010,610,023,856,025,426,
748,530,530,935,015,470,842,288,303,253,984,065,580,590,001,627,580,550,939,
277,774,318,341,562,896,584,129,681,814,445,278,855,654,622,665,427,455,210,
607,041,887,984,697,113,769,813,895,711,508,353,070,942,848,725,665,161,699,
973,905,112,354,182,325,211,357,550,357,791,899,646,797,411,329,583,581,182,
332,046,775,989,601,225,114,854,401,870,685,718,047,304,095,559,057,432,864,
195,552,954,662,678,559,813,707,400,113,439,255,323,057,300,995,634,807,623,
034,803,467,751,658,786,471,738,731,866,368,776,112,503,237,954,297,464,124,
651,823,219,174,793,247,426,757,568,838,085,230,041,371,393,014,075,549,543,
885,759,291,476,767,839,482,553,868,128,541,376,216,762,690,458,555,395,148,
064,071,263,697,962,108,309,469,063,644,241,345,379,410,797,926,104,213,714,
792,545,069,460,264,987,987,340,121,543,727,453,504,123,102,511,387,185,164,
372,377,188,443,213,994,062,929,809,333,441,194,284,332,905,913,142,214,265,
778,462,671,686,124,697,667,926,033,917,174,963,364,377,579,183,182,319,448,
431,991,428,389,520,455,738,638,943,877,370,859,940,085,479,165,819,867,407,
103,190,843,819,913,474,278,765,965,479,206,597,037,339,443,422,173,969,634,
576,225,983,404,074,305,656,085,095,071,084,833,965,315,198,408,996,395,588,
792,000,080,607,614,201,817,848,160,587,907,738,264,991,818,521,454,155,539,
922,895,767,540,624,799,545,041,891,793,268,040,032,869,471,436,907,134,017,
494,308,539,951,138,181,138,096,175,030,941,520,222,523,888,155,298,718,759,
219,821,719,365,111,169,115,709,669,787,516,703,967,427,766,683,575,723,609,
370,786,540,741,052,250,436,703,156,606,094,441,105,964,594,474,989,328,741,
532,891,059,470,164,657,977,046,047,179,345,143,688,988,100,030,635,875,333,
542,046,721,071,288,939,715,176,224,437,539,249,888,198,687,392,289,494,658,
630,502,106,827,873,910,776,454,968,575,163,076,120,154,753,846,025,217,843,
550,773,364,979,234,434,174,186,585,661,190,354,023,418,034,444,574,838,575,
736,239,060,589,107,825,747,857,702,435,427,798,139,795,032,954,222,376,594,
146,407,955,688,774,814,614,326,122,369,815,440,039,339,296,056,929,449,450,
560,928,216,647,086,628,723,769,645,207,902,515,102,231,266,687,797,705,421,
793,443,147,459,432,763,416,797,187,822,115,194,699,375,323,035,710,382,113,
272,315,867,053,048,760,553,303,904,648,023,438,997,269,162,578,546,059,236,
189,890,124,463,925,615,083,116,584,939,559,504,156,436,517,343,047,500,818,
109,510,491,780,056,759,647,221,553,432,742,379,210,046,903,674,584,816,460,
658,821,454,373,048,943,007,327,423,205,718,630,305,017,553,970,757,785,618,
253,479,177,706,637,697,219,969,711,825,794,550,344,035,588,375,230,386,854,
611,820,675,163,837,497,495,248,490,027,529,868,176,622,221,125,448,826,217,
794,042,625,257,293,989,085,101,711,230,963,944,150,722,636,845,873,540,390,
335,309,090,556,035,509,214,808,236,702,999,387,980,322,966,299,992,379,458,
786,784,072,588,747,785,731,204,927,228,847,199,386,344,542,841,480,685,707,
079,394,554,542,006,402,771,285,919,663,450,501,547,030,397,293,862,389,727,
471,221,896,547,174,288,970,926,525,168,270,265,186,358,701,538,505,853,128,
819,697,946,436,305,489,694,116,040,388,047,151,988,127,635,876,281,912,263,
686,023,791,738,473,463,212,296,685,715,064,873,116,460,130,862,863,757,962,
164,117,499,050,259,735,680,220,023,894,950,540,831,312,372,471,597,331,487,
341,931,521,914,147,552,056,644,896,730,283,406,690,385,768,796,093,796,441,
952,587,889,888,803,813,819,238,731,917,770,310,488,920,431,728,018,872,050,
553,155,370,126,805,063,900,883,450,901,207,317,865,879,991,527,396,616,383,
941,891,587,810,134,426,353,894,571,293,877,436,246,165,557,738,021,675,269,
001,229,158,030,051,263,028,800,853,293,947,346,156,906,903,350,066,107,664,
013,329,245,805,309,446,981,818,868,723,404,529,404,715,543,322,076,366,360,
431,982,559,611,805,448,145,650,491,511,694,432,771,681,883,648,821,270,458,
843,282,473,903,672,040,515,528,315,998,630,832,009,639,449,736,579,580,319,
774,233,043,380,983,546,233,813,674,587,850,141,750,113,711,439,806,033,251,
436,303,293,035,002,029,914,746,027,249,400,017,915,487,360,969,511,958,280,
117,462,805,081,608,614,107,334,164,563,970,352,843,821,675,009,421,946,249,
630,794,061,518,184,347,909,628,424,016,199,456,584,062,718,473,976,341,001,
866,620,840,828,932,784,723,609,440,794,372,632,537,919,500,003,942,299,049,
579,635,816,796,168,557,308,286,485,545,102,603,083,357,864,082,356,996,983,
689,560,534,906,464,664,413,765,798,976,780,969,126,460,201,337,305,027,073,
054,579,273,596,880,852,635,050,837,526,253,136,649,166,641,150,552,435,540,
119,858,270,726,495,050,533,130,774,415,633,665,353,351,139,812,172,321,620,
666,037,811,990,119,485,143,112,048,531,103,095,860,517,122,923,178,483,898,
378,285,008,964,977,819,002,215,959,442,358,113,622,753,724,255,773,209,388,
839,840,014,240,857,351,331,886,435,760,460,569,410,523,735,186,884,110,040,
670,720,868,736,808,862,748,036,888,365,506,623,423,337,341,962,391,195,275,
469,811,449,275,804,463,704,644,390,931,191,180,075,852,576,120,389,039,303,
846,524,428,968,646,445,153,910,132,197,781,248,269,804,789,125,787,861,250,
290,505,507,260,763,819,319,162,933,756,745,070,660,696,355,897,424,549,253,
422,154,174,757,116,483,726,936,782,709,651,546,638,697,684,601,922,044,407,
067,859,986,771,801,630,306,303,245,099,423,193,678,407,500,295,436,391,465,
965,775,295,187,397,967,945,312,098,540,762,426,470,422,562,897,416,341,731,
006,775,597,848,406,934,868,475,587,528,289,676,700,167,222,480,714,861,723,
060,424,479,833,467,677,801,303,112,425,799,171,862,675,315,240,722,152,571,
338,172,172,710,660,281,869,689,960,389,653,432,728,433,091,234,018,387,244,
916,905,407,565,096,423,900,563,459,713,329,149,084,309,177,769,720,192,396,
649,437,357,781,826,098,221,109,518,371,846,469,914,289,058,403,951,618,781,
816,242,757,891,013,875,487,324,544,984,912,691,497,825,166,299,222,169,016,
838,008,353,287,039,006,244,078,705,657,192,295,074,847,176,622,587,085,777,
394,991,926,840,397,525,854,476,789,735,069,021,297,711,662,816,871,251,083,
034,422,136,394,985,759,151,338,230,899,020,672,459,200,692,171,646,808,241,
484,062,440,797,081,857,740,416,141,523,936,653,418,549,356,846,471,819,431,
958,963,329,973,472,138,299,798,958,533,673,070,905,851,892,393,985,843,225,
570,067,461,909,656,312,324,390,547,298,770,340,655,360,809,300,997,756,006,
464,786,034,486,656,859,105,402,067,562,043,185,235,354,229,580,776,814,715,
228,562,950,092,410,061,602,249,882,181,776,154,090,662,218,033,109,149,498,
202,398,785,358,712,473,102,914,140,907,909,923,789,822,778,278,923,645,969,
566,291,468,291,961,903,678,553,176,943,867,926,279,606,109,941,622,136,852,
935,619,308,189,391,158,450,557,465,408,662,073,260,458,072,800,508,519,131,
457,293,259,433,075,291,626,433,299,502,328,397,408,176,313,933,904,169,461,
127,936,912,974,944,215,923,150,013,786,116,435,583,119,207,023,375,570,900,
166,178,914,924,169,746,517,683,418,860,398,372,421,251,000,436,955,378,360,
776,371,150,311,963,447,436,427,718,194,097,537,605,310,961,584,105,806,784,
045,800,558,138,109,466,504,115,656,854,786,909,967,642,728,739,664,540,389,
240,418,673,954,833,889,890,603,148,176,783,203,031,478,218,345,789,091,573,
084,836,068,557,308,702,241,566,059,084,119,983,647,499,683,367,528,327,912,
728,592,859,300,250,400,616,835,352,409,807,360,033,775,979,756,097,402,154,
398,570,069,221,925,105,042,516,861,187,330,088,376,765,579,026,032,797,472,
165,272,148,080,137,489,448,486,080,469,706,458,977,775,899,280,272,370,756,
621,477,316,150,956,060,900,425,263,024,460,655,939,367,364,679,183,463,073,
846,088,910,615,003,184,555,228,869,938,151,654,801,095,728,904,718,241,578,
764,214,053,417,329,105,889,588,324,607,137,843,559,301,909,729,020,240,502,
906,715,420,542,165,552,839,747,863,983,061,291,296,528,950,060,687,331,703,
748,018,684,401,463,840,102,067,205,218,402,026,563,123,836,269,302,969,749,
063,805,859,205,203,042,422,346,250,230,919,949,918,399,698,311,801,903,552,
381,749,256,219,950,450,451,594,727,635,942,116,524,509,093,413,160,067,638,
712,582,729,862,627,353,439,628,788,390,215,141,755,064,309,011,486,558,980,
011,711,278,189,793,035,142,979,662,537,777,717,476,349,201,414,845,847,674,
182,223,338,091,760,172,981,063,165,021,855,918,693,178,333,787,811,532,716,
158,968,486,965,480,337,159,561,316,605,375,594,664,138,262,675,413,056,109,
996,817,420,308,479,885,573,837,951,539,388,088,311,914,266,183,502,326,394,
131,342,535,704,388,041,128,929,743,626,161,453,648,032,260,893,329,175,196,
948,736,414,473,289,881,105,238,869,178,020,280,496,523,994,991,128,464,800,
049,058,227,682,975,345,806,866,048,638,669,320,278,321,693,507,654,887,569,
159,973,592,553,142,840,724,938,424,472,024,732,558,165,208,784,853,142,734,
353,433,645,254,863,288,328,990,677,241,464,674,158,978,669,827,851,379,564,
079,171,341,077,456,641,033,769,678,422,816,452,381,244,576,404,285,720,985,
374,669,444,345,829,331,530,439,630,431,983,605,433,487,958,218,045,772,837,
437,985,560,440,193,051,682,152,936,484,489,664,312,288,453,112,910,954,693,
673,768,057,530,366,073,213,763,791,339,542,588,629,125,265,347,932,986,582,
991,190,250,235,415,984,809,227,810,443,674,614,573,291,281,921,366,067,527,
983,442,869,595,377,361,475,013,786,390,067,772,308,817,967,597,692,031,158,
303,925,927,661,310,547,971,795,008,464,188,521,455,463,298,652,624,086,037,
651,888,790,897,226,694,794,059,539,861,255,648,807,996,291,084,773,836,341,
413,601,066,846,466,751,357,292,985,569,048,668,460,423,852,766,747,354,974,
853,140,810,183,374,354,482,532,958,053,214,559,293,741,995,700,498,791,008,
686,854,555,446,117,641,536,787,572,748,550,701,099,124,585,821,189,376,332,
922,199,637,574,313,877,145,223,292,320,714,994,606,124,737,390,531,005,260,
493,447,165,698,627,952,318,975,246,483,100,160,659,899,658,262,030,843,925,
227,472,823,814,541,655,475,391,181,524,895,917,270,163,083,143,732,171,808,
679,350,581,319,400,177,658,176,705,677,812,601,422,020,209,043,712,165,618,
828,916,611,826,983,489,790,886,414,688,869,149,783,347,597,331,035,101,137,
085,404,686,720,483,049,485,807,171,996,111,350,159,094,532,781,391,272,158,
665,712,573,503,141,508,231,652,255,972,564,223,155,971,349,023,317,049,454,
608,543,251,790,800,640,992,085,272,353,900,021,855,559,613,755,839,406,849,
637,418,203,092,777,988,010,585,085,160,257,484,745,751,263,445,424,103,811,
901,764,949,808,772,201,625,369,674,341,186,275,613,906,884,751,042,725,142,
124,959,209,124,626,249,606,115,705,821,131,187,171,665,314,851,338,579,503,
491,394,413,831,160,243,688,410,325,964,765,753,931,932,795,120,099,034,203,
630,500,773,810,137,484,159,951,722,519,690,507,738,612,392,577,734,430,880,
982,071,843,184,240,056,024,664,111,828,821,178,128,232,926,402,602,847,037,
890,331,447,835,858,932,539,604,078,745,141,239,536,529,329,801,270,594,032,
248,456,713,870,158,898,556,527,310,607,264,138,075,172,966,859,701,364,231,
363,191,089,899,535,312,786,739,772,307,695,881,693,677,487,849,401,390,751,
681,085,084,331,740,337,524,368,251,368,348,277,750,719,732,526,556,004,173,
282,399,323,883,861,052,144,060,261,894,952,438,468,803,180,727,153,534,501,
820,213,345,034,717,172,711,406,106,790,907,358,950,468,703,268,312,732,603,
683,824,752,543,523,716,151,293,578,889,630,011,241,783,684,166,134,768,231,
664,253,541,669,678,469,662,150,812,901,295,723,875,217,165,041,884,927,862,
814,553,362,596,112,930,986,189,866,844,520,843,074,645,076,596,809,748,836,
530,161,753,169,853,952,016,194,352,282,961,624,912,223,775,524,994,077,314,
489,717,913,834,807,904,312,261,450,672,902,676,565,009,458,753,723,896,776,
892,155,473,421,260,148,630,216,931,459,650,084,921,328,911,987,547,895,465,
809,478,017,041,343,878,224,854,539,063,572,240,923,229,580,613,826,902,243,
908,377,074,259,647,240,612,338,386,114,712,844,438,633,674,608,592,938,834,
407,070,949,649,805,099,111,322,369,800,443,818,258,194,370,274,201,963,252,
147,985,168,290,301,986,532,046,061,070,871,234,822,407,488,078,440,914,699,
725,000,227,133,424,485,386,503,906,309,350,302,772,307,979,095,151,377,244,
970,752,238,863,525,705,465,034,303,663,622,656,059,816,911,563,041,284,700,
973,628,548,332,555,287,918,640,090,933,030,827,810,059,973,020,148,479,067,
905,819,971,199,753,150,837,116,887,045,183,441,938,326,603,840,416,175,265,
815,425,663,255,815,127,047,738,552,727,097,395,756,930,195,485,339,529,569,
414,831,344,747,047,601,144,120,682,253,520,933,912,249,011,440,541,521,459,
506,549,339,467,633,617,191,134,228,688,830,687,458,321,566,960,811,446,291,
489,068,544,523,104,021,084,819,118,856,315,426,503,060,283,403,616,117,514,
521,961,465,622,282,981,232,075,855,295,369,401,126,146,294,209,840,231,882,
873,803,360,708,037,421,466,504,573,675,748,203,224,682,138,274,401,411,983,
224,811,960,085,036,882,255,034,313,384,108,587,752,272,887,269,738,230,519,
364,004,653,540,412,590,494,951,526,891,602,444,276,255,049,145,846,687,412,
025,135,184,214,638,948,169,244,649,036,933,131,251,280,401,874,834,833,291,
106,380,391,968,902,250,436,703,305,267,459,816,662,831,112,759,444,826,489,
866,649,050,226,912,566,312,198,745,607,535,557,003,465,960,859,306,192,482,
948,043,651,607,848,376,789,491,747,828,445,327,722,194,428,762,038,438,378,
690,090,545,798,697,336,828,210,390,851,768,656,875,489,884,124,146,432,646,
314,393,962,381,130,290,203,156,593,484,472,793,265,846,589,650,968,804,516,
209,138,873,512,149,042,707,985,216,557,883,520,899,250,263,167,739,535,201,
088,476,306,255,034,295,313,450,948,221,908,871,006,877,213,327,619,300,312,
554,013,758,503,116,921,413,881,931,377,456,346,940,741,713,624,579,645,882,
354,091,576,274,398,431,903,288,454,075,735,196,401,812,743,211,480,248,140,
695,784,240,016,899,127,138,886,350,326,527,132,230,392,066,806,611,123,944,
140,248,394,516,376,720,943,152,451,173,762,785,039,688,084,437,192,911,433,
534,601,247,549,035,265,559,327,802,841,746,102,500,691,244,162,190,028,429,
935,515,986,909,414,928,441,562,878,285,960,610,171,245,692,506,814,680,135,
138,449,857,363,906,524,160,458,300,084,296,707,786,641,337,036,426,110,747,
032,314,045,928,425,031,887,752,847,981,951,747,000,781,369,292,314,084,646,
864,185,006,780,793,374,666,059,910,036,420,540,793,369,027,190,643,190,008,
350,860,860,961,007,145,925,459,870,188,274,680,432,988,716,453,981,093,796,
157,447,233,798,577,335,901,285,086,317,396,404,163,311,503,555,000,210,098,
194,445,109,423,425,392,570,611,436,964,374,613,338,485,342,219,381,984,349,
094,735,763,822,153,887,270,161,336,295,446,318,125,601,241,998,412,425,851,
567,526,638,398,946,352,818,907,125,153,451,394,057,710,130,625,698,754,099,
966,536,228,550,678,838,065,967,239,669,331,840,911,328,910,489,429,734,914,
350,092,996,523,326,022,839,151,075,140,086,881,821,899,851,258,421,221,960,
287,573,470,031,516,033,508,044,148,953,798,701,819,046,157,639,907,057,333,
610,086,111,187,097,348,668,476,600,719,595,339,780,978,241,012,397,487,650,
195,703,239,831,034,209,151,631,600,092,283,666,609,891,537,146,662,175,817,
013,584,003,987,930,311,635,814,610,358,280,631,691,880,547,482,580,915,961,
158,696,338,341,282,426,328,335,982,298,247,819,088,568,088,940,948,659,510,
975,077,321,750,898,608,152,051,901,600,415,468,683,097,209,301,127,997,322,
394,168,437,665,620,431,042,200,327,288,468,183,144,935,139,129,206,123,904,
637,978,560,968,622,707,075,477,496,526,007,520,276,037,897,901,885,973,088,
530,488,286,856,203,330,242,493,242,768,073,975,999,635,103,873,258,074,788,
865,923,623,588,789,852,576,793,139,693,223,428,871,197,912,538,276,470,284,
387,661,764,595,299,943,538,771,076,306,413,020,743,276,844,108,924,340,017,
203,805,380,023,867,741,993,189,327,158,762,669,621,782,174,812,075,811,601,
435,976,581,673,516,732,472,008,607,617,437,194,662,021,413,710,193,979,270,
820,735,777,156,639,112,061,606,893,105,176,089,884,700,992,911,547,918,219,
950,488,527,006,859,930,190,734,828,651,006,678,199,553,094,236,926,861,746,
190,813,132,872,400,255,074,922,729,164,321,566,215,028,024,666,435,874,217,
487,472,568,153,455,040,898,371,604,814,146,992,970,977,811,894,502,435,908,
013,608,985,823,926,648,331,727,093,713,033,271,266,063,857,578,507,779,082,
406,720,918,820,168,838,304,139,088,493,765,492,297,452,441,122,686,900,709,
636,067,299,267,111,583,761,530,500,274,294,803,469,878,847,329,673,826,112,
856,492,892,570,857,523,056,706,176,083,977,721,061,798,981,963,678,281,304,
415,048,742,338,649,945,336,139,646,182,967,597,742,757,631,841,929,276,907,
316,610,310,296,551,470,298,568,452,873,717,440,282,072,992,911,684,542,659,
670,821,095,866,342,268,457,180,144,831,964,836,190,941,520,314,423,118,725,
694,224,012,799,286,336,131,454,998,107,215,981,218,399,273,423,015,663,445,
626,260,533,910,638,272,484,154,278,005,744,967,766,428,646,790,093,622,608,
456,381,978,104,586,056,386,013,575,652,013,345,925,836,997,909,444,717,347,
035,524,283,098,650,072,236,411,856,564,953,136,587,686,771,564,234,169,529,
373,755,240,076,998,330,545,523,641,529,033,430,097,844,022,970,639,597,419,
844,408,067,907,959,839,572,681,791,906,007,207,034,029,538,735,589,500,182,
277,183,923,892,554,121,893,609,441,534,553,119,324,159,971,019,025,016,115,
519,704,035,162,732,947,749,272,946,773,149,906,047,990,088,737,074,499,689,
208,373,082,440,718,679,013,215,509,871,508,704,381,533,241,909,757,375,553,
771,902,969,588,240,076,227,195,948,849,217,190,758,376,036,374,646,895,891,
682,940,027,998,648,922,954,718,193,484,546,640,673,099,324,037,969,282,996,
008,150,435,612,841,923,192,263,715,911,276,066,179,565,435,700,295,284,360,
316,488,374,802,315,661,002,859,689,233,413,126,874,669,557,240,598,205,268,
738,526,652,890,472,302,539,414,236,018,988,966,662,419,421,410,652,710,036,
637,858,409,098,095,925,041,080,724,640,180,656,199,512,559,017,278,355,064,
222,018,592,598,251,715,685,901,082,492,075,984,018,253,482,994,457,055,799,
859,386,521,679,395,344,804,133,006,486,974,802,719,612,107,151,505,499,986,
075,728,911,352,832,118,739,648,991,684,865,071,679,022,406,432,883,654,221,
447,992,190,072,758,477,415,071,789,741,365,179,844,811,354,650,268,857,750,
620,525,343,936,097,242,758,307,884,974,659,210,960,212,698,870,928,265,201,
017,385,332,435,446,681,034,505,634,189,152,559,681,288,199,048,361,862,180,
427,168,289,674,545,600,729,921,562,400,979,860,975,277,157,019,657,599,341,
571,808,576,804,913,975,026,964,286,616,049,232,848,285,854,631,628,379,388,
224,228,714,036,498,911,916,494,008,568,132,374,922,584,459,391,212,567,438,
719,258,418,401,475,589,901,758,486,426,415,856,378,213,890,910,550,810,316,
696,167,130,101,140,617,597,201,097,761,542,338,069,898,459,198,543,931,809,
245,741,236,340,868,666,035,823,905,634,220,833,820,834,992,440,070,368,877,
917,696,875,486,053,135,099,815,376,750,562,886,951,537,408,456,335,586,666,
302,472,845,876,732,626,035,812,793,427,475,956,832,799,465,208,706,189,498,
563,481,871,259,519,239,218,154,055,876,045,092,695,905,298,218,314,448,206,
109,975,956,131,023,777,576,915,386,276,464,660,170,068,694,642,331,014,939,
400,441,063,973,257,320,003,981,868,853,176,873,025,776,920,151,925,560,264,
238,174,788,092,210,449,186,781,861,128,434,788,318,998,709,839,987,980,578,
092,369,819,699,374,965,456,055,889,493,031,359,905,304,950,182,163,292,867,
086,023,800,863,031,754,879,245,125,128,843,331,168,132,744,961,614,512,744,
402,687,860,164,325,012,207,784,843,906,155,872,863,503,765,078,231,036,510,
516,553,888,328,000,379,736,478,378,269,501,301,129,709,913,478,312,542,394,
194,747,057,446,308,585,139,457,875,682,648,025,771,489,758,377,585,271,596,
982,965,060,158,060,600,804,325,720,102,987,250,758,257,637,423,291,218,984,
908,276,892,320,602,730,004,152,068,613,449,039,732,955,024,925,066,090,608,
368,782,514,809,176,967,275,377,027,650,342,083,883,186,933,253,434,816,414,
023,919,148,809,066,964,570,681,565,976,171,677,002,875,378,067,349,504,528,
380,269,715,964,669,878,895,012,694,985,050,253,885,900,220,309,286,714,908,
106,550,898,170,555,733,579,925,272,867,893,432,269,302,108,565,504,255,272,
173,814,929,694,737,866,820,382,061,448,844,302,567,117,499,694,582,615,563,
839,950,023,374,031,303,500,688,637,112,353,876,896,733,912,721,729,781,555,
838,270,653,894,572,203,668,677,799,225,136,395,183,244,622,258,525,804,762,
479,475,960,035,927,259,773,614,870,219,126,178,889,534,423,750,850,823,944,
646,841,619,363,939,712,163,482,076,412,423,716,026,400,685,677,406,970,719,
281,465,913,262,419,971,425,543,226,488,183,899,158,674,342,132,708,396,865,
819,741,884,243,051,516,823,589,678,155,007,312,700,146,737,005,148,985,502,
000,604,786,933,298,558,473,493,160,413,464,104,150,262,603,197,978,297,171,
663,544,264,585,237,906,850,998,839,388,352,757,765,598,110,757,513,063,863,
421,038,954,918,536,693,570,682,375,974,340,474,895,597,897,697,307,922,453,
090,556,175,067,494,621,276,389,362,694,161,440,613,956,057,578,185,955,007,
453,839,632,153,290,294,391,637,617,766,692,340,814,665,776,441,674,571,237,
501,380,547,488,892,339,339,366,589,926,067,610,329,804,907,664,289,695,343,
323,323,250,546,140,181,978,470,431,146,878,546,809,245,911,650,019,633,119,
019,476,905,744,108,400,981,810,442,243,683,616,858,495,774,320,642,480,404,
130,361,532,152,170,792,277,188,715,008,836,963,964,295,156,805,471,258,608,
057,227,417,111,435,756,990,549,403,422,562,001,786,133,771,947,238,782,475,
408,223,630,813,296,113,690,153,783,331,093,318,015,261,235,831,822,511,334,
707,979,222,919,440,639,305,936,985,614,749,412,246,694,452,992,185,810,108,
477,326,084,744,229,334,144,841,543,795,000,817,324,456,641,661,120,079,781,
236,790,098,551,393,110,414,661,193,291,151,886,472,135,854,661,798,998,044,
406,728,835,846,306,070,398,248,458,548,242,408,769,213,649,584,993,630,971,
596,598,886,741,785,521,166,393,527,952,934,834,390,199,671,284,090,777,456,
968,205,705,232,488,145,194,116,773,863,385,277,737,621,256,585,516,184,262,
719,815,734,185,720,536,049,965,072,961,333,827,642,321,452,702,569,638,815,
126,890,625,491,285,417,557,645,565,861,853,629,480,470,509,285,670,396,031,
514,454,666,350,962,321,728,228,186,048,087,352,967,730,407,143,636,013,032,
993,038,675,777,106,877,884,750,631,992,103,034,522,990,923,923,124,291,272,
183,050,513,018,419,442,619,196,052,883,369,086,754,416,523,657,695,180,606,
222,402,875,328,849,712,709,066,881,898,878,721,624,900,299,018,958,939,237,
441,065,007,780,998,060,073,230,211,767,507,840,271,036,000,461,158,704,549,
824,942,888,999,725,918,642,172,532,521,249,369,059,655,846,800,248,369,294,
198,000,765,904,809,754,901,080,663,735,508,703,880,348,886,870,722,549,344,
467,129,898,509,987,636,086,756,161,542,389,591,869,976,358,258,450,511,192,
000,909,867,974,958,717,548,020,194,649,043,536,807,590,272,798,563,183,978,
115,603,853,070,274,188,164,918,645,338,841,137,004,827,208,814,440,782,204,
401,553,688,149,967,197,713,259,200,990,346,999,345,514,014,910,883,740,918,
490,568,505,649,801,721,995,600,800,021,681,922,989,719,615,196,900,118,110,
418,474,019,363,593,248,947,357,027,433,755,299,238,796,637,041,441,705,612,
030,076,840,988,985,212,880,702,814,254,157,337,931,083,377,192,355,804,893,
961,496,185,491,487,631,142,746,880,501,581,600,029,188,899,344,497,672,469,
483,643,890,137,497,138,638,772,106,652,104,135,538,495,604,421,350,397,982,
296,466,391,269,161,656,349,697,836,384,261,483,164,648,835,545,296,924,559,
419,092,628,830,930,450,562,522,884,188,305,633,068,492,790,560,196,848,315,
092,385,108,546,588,489,700,358,160,576,376,819,844,753,156,092,826,366,594,
714,957,202,484,270,620,103,852,106,651,558,692,924,178,459,686,787,699,563,
806,386,305,051,140,896,796,116,849,712,727,457,742,334,347,968,120,815,555,
866,996,619,645,282,489,489,945,124,532,397,721,531,360,891,293,682,226,880,
180,209,350,296,665,649,138,574,962,910,850,395,361,497,536,474,488,551,128,
031,359,273,867,472,143,834,875,864,242,766,408,935,210,500,113,607,737,351,
482,591,697,701,365,820,688,122,836,404,086,767,535,059,609,267,051,031,394,
997,525,844,147,902,860,318,534,770,833,032,733,542,218,096,561,938,646,931,
548,210,102,783,411,849,897,061,054,983,449,061,939,581,123,823,509,711,484,
298,852,566,669,332,611,606,516,465,383,815,201,569,126,074,601,408,540,222,
245,409,821,785,695,456,546,459,813,709,508,688,747,288,471,232,139,825,542,
088,146,763,019,769,589,445,723,505,586,830,341,839,910,365,921,715,884,172,
307,249,099,654,817,489,891,136,453,819,890,087,355,150,968,292,756,038,823,
189,021,008,685,520,617,749,579,957,592,675,755,362,641,662,627,667,621,595,
688,598,044,809,224,643,564,954,428,638,045,621,927,822,627,706,152,680,647,
445,314,638,341,030,560,441,781,502,218,826,257,311,250,440,798,023,382,213,
180,128,172,245,179,565,135,106,319,484,883,467,379,624,856,383,016,331,608,
686,377,987,475,473,887,189,660,570,099,774,289,118,837,253,981,183,368,934,
373,565,030,363,486,352,945,057,624,299,843,361,593,816,913,010,615,658,299,
433,337,641,744,135,519,924,440,938,241,798,607,368,683,709,996,479,939,547,
094,370,098,293,565,612,357,834,817,798,433,617,660,322,566,102,779,510,569,
583,812,467,119,736,695,078,685,008,919,496,345,088,577,048,327,381,150,195,
777,455,607,822,872,078,238,918,319,419,236,276,524,017,865,193,769,440,445,
047,544,256,390,681,923,151,250,547,465,200,453,570,921,570,652,597,163,767,
494,803,915,778,580,459,087,437,619,603,230,087,257,261,970,345,563,891,493,
553,607,517,087,034,638,162,826,845,415,877,965,521,682,441,660,559,259,243,
898,879,074,948,165,918,232,550,365,079,190,493,061,942,257,573,540,076,711,
358,221,633,431,279,941,464,194,394,743,203,324,657,167,774,381,710,113,347,
481,906,444,947,025,631,771,435,159,690,869,045,840,176,189,541,708,418,972,
386,948,233,334,381,262,558,429,522,926,113,681,579,947,596,912,319,132,231,
845,778,765,387,998,608,437,303,529,502,256,397,888,883,263,648,257,351,775,
002,622,011,413,990,720,684,859,170,674,462,974,100,671,093,113,486,755,962,
600,585,571,014,836,109,433,917,816,404,828,269,410,076,989,209,654,218,829,
038,488,831,914,540,775,953,709,329,284,694,188,515,442,944,404,862,250,289,
604,789,812,744,466,204,249,946,702,445,008,650,538,332,557,672,068,624,673,
745,247,625,647,591,739,901,042,377,608,111,253,920,729,583,590,181,469,196,
365,587,729,646,638,717,529,170,496,799,762,365,884,758,160,753,999,058,668,
140,417,445,942,733,717,961,948,101,882,235,129,317,264,022,656,907,742,131,
572,476,906,518,873,375,037,642,389,968,108,825,830,965,197,532,084,054,406,
078,489,412,489,112,459,837,604,313,626,077,543,640,366,609,745,773,671,399,
953,948,425,608,801,145,233,728,032,053,202,653,102,555,380,052,505,879,735,
007,989,235,217,755,038,841,610,412,205,908,145,460,576,512,738,334,293,657,
268,990,402,049,865,027,378,750,822,517,848,362,378,802,477,740,317,962,371,
538,692,433,891,853,783,730,693,686,717,245,444,903,698,578,361,459,132,125,
383,468,449,805,926,994,538,227,814,862,024,390,149,747,304,931,087,194,892,
758,323,528,648,271,908,642,610,681,578,236,103,454,279,809,510,018,020,882,
683,466,827,977,787,478,540,761,723,805,270,308,591,635,715,661,618,280,127,
316,855,163,674,542,740,425,199,780,345,844,224,630,334,153,032,581,883,058,
863,386,976,465,783,008,505,780,639,697,044,776,478,827,028,426,448,557,273,
215,398,762,670,794,196,308,557,723,915,486,415,195,851,302,908,888,350,553,
016,769,327,465,920,705,413,288,655,692,612,476,278,336,534,092,162,173,317,
019,230,182,314,376,409,255,090,285,480,610,995,004,997,709,880,634,926,282,
539,933,773,646,692,299,793,185,622,419,054,857,847,567,657,610,285,719,112,
034,506,644,236,532,106,209,900,044,407,871,168,830,716,899,223,206,292,051,
992,221,295,139,326,197,735,317,348,503,054,915,147,060,810,148,832,111,018,
193,220,256,951,196,124,252,787,120,878,112,886,795,135,395,393,730,156,958,
567,245,975,086,158,577,414,456,264,850,942,296,695,329,148,393,975,938,432,
494,181,024,283,449,293,130,842,237,415,117,293,665,174,791,889,318,266,975,
108,241,886,379,842,146,091,466,957,925,653,476,857,277,018,537,693,731,906,
139,186,537,145,281,934,911,136,720,438,450,010,670,399,443,868,717,018,899,
042,455,591,561,267,612,207,494,602,806,883,494,043,199,941,938,575,659,756,
691,436,908,121,257,283,040,210,755,571,894,664,199,819,536,881,413,943,911,
379,484,339,220,430,219,168,084,692,309,696,150,945,544,410,090,242,953,957,
127,276,395,786,529,012,567,979,872,520,296,166,161,749,391,339,149,250,295,
820,693,695,737,242,019,963,145,302,489,873,393,138,786,003,011,833,166,871,
409,728,908,383,297,364,518,092,359,597,131,293,751,002,703,186,074,176,562,
678,669,223,432,005,186,255,377,624,985,033,360,062,939,563,427,517,723,110,
840,178,773,254,032,383,308,704,058,037,307,925,660,825,092,977,573,964,225,
334,124,678,371,226,153,569,665,349,024,780,265,936,573,640,188,087,684,479,
151,678,694,529,340,698,232,392,620,607,214,574,430,418,258,851,712,615,894,
523,785,651,916,382,387,565,643,359,672,996,113,600,106,582,001,702,729,981,
068,700,498,950,914,682,997,195,493,935,751,347,907,897,186,990,160,736,932,
300,031,300,711,243,870,638,341,828,800,047,691,427,058,841,129,451,010,508,
497,161,125,869,672,713,884,528,326,719,972,078,524,154,712,619,740,101,700,
037,584,975,170,485,502,359,683,243,167,084,442,735,943,378,517,490,670,838,
706,615,945,850,078,274,524,640,078,124,495,178,177,023,111,707,451,997,943,
036,227,383,023,128,374,010,602,629,093,969,971,376,900,751,300,333,574,123,
590,568,353,320,232,160,427,709,296,160,096,727,576,723,037,815,422,412,841,
690,283,237,813,617,265,706,161,755,867,637,741,358,375,165,574,082,160,169,
330,839,937,185,447,710,756,096,431,218,508,116,968,294,299,955,020,326,235,
600,215,280,655,565,078,228,078,577,879,167,857,934,005,171,332,361,956,045,
126,420,673,623,690,811,259,765,923,940,969,167,427,536,405,153,664,233,577,
848,970,523,432,808,638,024,306,421,220,160,190,146,840,443,756,470,612,208,
104,298,595,226,305,607,423,744,664,987,496,348,194,712,014,598,859,808,450,
288,833,440,751,692,887,484,761,827,106,968,032,586,630,029,614,578,986,895,
498,413,160,768,012,574,082,434,672,366,924,800,389,261,783,313,078,472,957,
873,190,234,903,370,385,009,881,653,015,029,661,204,287,380,145,688,863,267,
161,204,131,555,188,935,214,359,333,465,900,180,730,994,781,944,652,235,582,
244,254,630,812,574,675,530,343,399,634,094,562,414,637,717,872,310,441,795,
355,356,004,520,852,508,797,557,143,494,863,061,946,033,233,667,022,054,872,
784,588,708,774,635,671,797,459,390,175,964,140,232,607,334,814,893,874,969,
221,593,277,985,545,442,492,313,699,927,969,945,077,579,906,912,141,359,455,
270,144,224,017,495,482,368,992,828,535,604,237,870,264,885,711,094,650,055,
051,445,007,559,335,202,803,082,223,647,141,667,770,121,930,441,991,341,382,
249,864,604,326,826,750,086,107,881,874,822,867,464,915,122,117,399,945,549,
916,249,558,390,286,486,222,441,436,897,546,707,539,549,710,896,825,395,079,
611,123,595,880,924,829,433,486,114,706,734,942,807,076,947,760,953,393,600,
974,067,539,709,284,423,470,847,168,867,152,070,974,444,877,712,820,886,173,
850,111,418,057,245,685,857,840,659,793,387,116,401,495,870,683,861,623,547,
429,362,833,539,339,623,047,283,647,038,537,926,806,907,492,340,657,600,729,
735,226,630,916,047,494,386,463,674,745,469,478,685,798,480,577,341,821,851,
951,665,314,280,699,479,903,610,555,940,617,658,234,672,157,254,384,619,899,
650,418,327,147,514,021,802,234,691,564,987,097,147,569,783,255,220,692,186,
902,200,444,102,550,751,486,059,813,092,475,601,497,791,826,578,219,753,926,
677,507,750,248,125,409,096,959,311,567,130,161,749,926,154,291,221,362,093,
171,928,313,438,888,767,582,212,094,727,365,107,677,272,527,442,289,648,346,
416,850,037,070,423,985,817,749,142,436,097,343,894,297,157,302,997,117,465,
861,628,684,603,567,202,671,729,242,932,508,627,285,033,537,564,531,782,145,
782,772,440,238,065,352,326,572,995,671,502,442,481,316,185,762,478,570,712,
917,192,425,494,272,573,742,061,052,571,592,185,707,967,379,278,872,911,792,
429,078,070,300,924,030,639,780,747,263,490,600,384,825,547,340,487,205,976,
722,591,614,348,728,653,553,694,672,110,380,908,013,491,369,235,048,056,373,
615,744,136,094,694,106,706,759,687,043,490,618,800,140,041,191,959,942,559,
488,004,793,684,960,535,352,723,077,933,887,611,862,971,173,698,346,038,983,
650,442,586,975,931,464,133,403,631,715,943,101,967,924,193,239,478,610,946,
897,434,429,233,195,153,794,951,002,132,230,777,888,969,399,046,387,775,093,
781,926,353,565,235,424,741,155,488,433,915,147,332,181,347,598,911,841,395,
273,152,587,581,657,220,611,155,881,464,865,600,030,156,153,584,330,685,502,
396,399,348,766,493,350,430,572,104,838,394,029,867,165,374,591,073,559,716,
146,225,115,762,181,661,154,194,999,337,133,452,857,132,495,662,316,767,766,
124,099,346,532,296,317,605,088,442,805,603,636,708,138,201,827,873,878,487,
908,460,208,038,615,648,818,195,769,536,882,364,083,107,635,565,844,994,074,
562,991,019,604,726,565,831,205,511,818,947,120,102,991,446,830,109,988,756,
171,493,436,174,601,575,165,915,685,582,999,288,613,496,817,563,636,779,784,
703,382,783,982,910,505,096,536,076,547,687,795,830,809,117,795,708,481,145,
200,395,950,857,585,239,455,157,899,402,558,042,312,097,949,928,268,935,578,
127,245,782,783,741,306,059,488,337,706,223,607,591,196,043,214,068,294,994,
231,975,844,023,763,199,906,384,769,223,145,576,177,431,596,164,814,719,747,
230,849,563,979,446,784,455,375,126,156,704,253,139,335,661,120,112,134,514,
515,035,144,245,451,705,775,447,648,393,673,755,496,770,074,261,537,057,311,
516,045,999,838,883,442,124,759,955,763,005,650,071,497,273,858,292,530,016,
438,555,738,152,575,730,629,852,729,866,478,535,036,332,048,752,142,338,018,
320,057,139,537,738,987,498,431,009,646,112,118,381,763,284,774,093,206,106,
991,477,850,527,501,467,954,027,144,698,679,377,362,339,130,244,804,438,989,
275,823,401,577,491,625,428,009,812,777,328,629,596,872,435,127,413,988,251,
873,760,895,360,781,360,314,055,454,921,443,510,426,099,231,967,828,114,640,
381,104,113,216,404,173,313,533,160,140,744,750,489,592,577,952,360,927,811,
510,209,691,621,408,385,308,052,133,613,166,924,973,645,756,738,053,552,490,
182,725,640,477,408,003,261,638,404,847,650,674,657,448,468,963,110,215,428,
918,621,212,237,610,982,732,372,934,094,288,415,662,675,516,054,904,825,587,
211,334,159,020,553,364,695,659,718,356,005,902,213,426,496,720,038,780,813,
060,990,616,441,055,195,409,993,659,746,729,360,694,457,928,526,312,012,073,
426,372,498,619,428,810,611,163,969,784,596,239,739,618,996,852,582,885,577,
674,951,837,629,463,935,161,250,692,675,279,763,825,829,448,565,184,356,690,
445,379,156,664,752,050,377,469,075,200,397,053,624,421,624,961,420,893,292,
193,058,160,141,444,002,827,630,461,048,420,706,490,722,221,913,393,910,152,
952,519,710,158,137,185,742,744,795,823,986,127,113,815,917,005,916,189,931,
514,210,081,708,747,202,883,224,368,469,873,628,927,008,333,580,670,694,477,
808,394,848,188,824,327,769,273,009,203,825,923,810,059,257,026,955,187,459,
891,884,603,466,284,864,814,960,391,394,522,743,767,095,619,542,636,000,764,
346,521,281,102,429,627,649,235,179,377,718,449,467,471,772,492,941,212,515,
897,572,473,727,469,929,708,937,411,075,786,892,654,983,882,862,327,771,491,
254,815,850,259,571,029,223,188,939,150,787,445,841,564,462,786,031,318,406,
857,627,485,043,527,744,800,757,828,947,368,993,631,204,597,833,838,640,610,
238,367,680,474,407,822,956,204,542,995,208,911,714,404,702,181,215,827,461,
856,800,460,033,109,918,432,751,764,064,470,938,565,574,874,116,577,812,371,
768,773,940,801,100,963,950,523,459,969,400,443,772,333,255,419,833,217,300,
443,763,574,812,967,874,238,388,050,958,174,740,995,719,200,009,189,701,182,
831,990,707,084,045,023,733,803,447,519,933,576,340,379,899,195,122,204,005,
904,743,472,351,924,399,500,277,760,304,168,649,781,380,830,939,205,576,883,
733,522,333,932,555,214,839,293,668,823,798,445,923,298,119,295,211,459,622,
709,471,049,608,469,435,832,804,607,306,907,992,634,316,614,162,579,295,906,
333,093,775,868,406,694,363,142,973,173,304,408,110,669,665,597,863,798,021,
959,838,781,562,809,685,644,979,318,406,405,434,692,137,476,721,518,448,142,
336,738,597,994,721,757,827,904,072,780,136,350,339,182,083,391,716,648,570,
128,394,424,536,543,507,323,797,540,640,171,156,105,699,226,722,411,524,018,
979,557,985,916,997,194,890,223,913,687,107,544,180,709,093,346,936,439,818,
494,412,364,985,565,622,792,945,673,416,215,057,990,701,556,654,438,882,754,
433,909,255,332,323,069,019,792,557,280,976,053,571,636,132,660,644,353,081,
769,332,121,370,915,279,784,161,321,046,913,858,058,268,417,261,604,004,968,
364,881,724,562,452,226,627,964,820,658,297,193,709,334,258,932,508,580,847,
113,256,245,419,858,860,273,300,938,073,112,848,915,357,685,000,487,825,364,
276,568,625,780,379,725,935,008,062,047,538,286,954,798,360,323,060,123,191,
645,150,322,764,427,198,599,489,680,985,771,537,007,421,528,939,201,858,260,
219,793,321,644,988,684,650,822,000,116,074,353,490,982,318,863,381,213,478,
664,168,970,492,778,758,966,285,744,848,203,780,580,931,723,776,304,253,133,
741,458,956,350,184,492,062,126,429,815,886,091,829,578,432,548,263,080,260,
228,622,144,572,374,755,119,157,234,496,344,402,996,474,669,433,394,050,786,
303,253,054,559,416,360,415,706,331,115,490,752,759,601,912,429,433,505,205,
398,851,317,424,855,143,724,532,436,271,873,312,408,158,485,274,881,967,674,
809,876,583,476,681,726,500,648,449,163,607,952,708,356,090,696,956,187,181,
136,512,452,335,267,774,462,163,055,971,578,216,958,775,354,607,429,327,723,
007,068,115,660,481,156,508,816,039,493,105,246,474,585,962,556,448,093,236,
439,936,046,731,752,814,155,476,989,822,139,084,700,809,588,772,521,634,449,
676,320,198,755,733,562,892,953,658,674,287,634,682,790,002,860,864,748,773,
577,417,800,835,432,978,585,464,578,795,038,400,778,269,235,380,231,809,954,
460,290,890,555,652,317,829,605,440,497,984,292,308,447,900,644,602,704,067,
893,512,803,652,690,794,782,758,762,275,981,199,271,128,543,914,046,027,596,
234,116,979,219,931,798,029,426,364,224,145,927,149,763,075,841,396,408,470,
290,337,932,929,812,368,559,508,862,387,116,849,239,448,448,238,464,485,864,
425,571,883,523,538,013,682,524,353,584,811,994,906,830,112,064,621,768,796,
026,076,480,654,082,508,634,728,035,170,403,508,394,955,248,950,558,666,110,
587,892,209,634,266,457,798,442,034,436,038,271,462,751,708,405,652,074,871,
031,277,501,052,850,953,808,948,208,593,592,246,387,283,154,370,385,106,719,
964,941,338,936,723,310,661,640,607,252,799,377,488,026,300,099,861,887,735,
273,025,246,320,588,704,079,471,437,371,016,070,115,336,040,866,644,836,674,
586,752,781,140,054,730,386,616,580,906,014,436,946,829,433,451,002,832,926,
566,041,424,734,447,748,381,013,708,627,398,924,624,284,306,100,375,516,453,
095,061,057,728,482,179,572,405,512,117,525,479,643,921,818,668,867,225,020,
705,414,396,234,390,414,375,205,283,629,627,600,945,593,296,071,493,776,170,
775,945,926,413,706,431,789,532,590,300,970,476,579,526,326,240,727,950,754,
210,395,172,344,612,508,341,379,943,922,432,750,037,810,305,722,104,910,459,
746,381,513,855,557,618,238,441,225,101,710,122,753,675,795,149,625,705,408,
240,746,948,605,339,132,418,600,505,536,299,601,184,519,446,602,746,050,204,
077,928,504,819,663,175,878,747,536,779,362,444,047,296,137,689,362,990,821,
171,563,963,700,783,942,146,814,231,613,979,089,790,119,270,415,042,292,559,
794,452,864,288,773,601,791,309,213,314,621,559,490,586,927,302,674,542,617,
038,930,344,341,177,850,012,321,161,989,728,868,729,162,640,198,295,058,398,
792,347,053,324,937,456,710,031,674,732,464,367,408,945,332,317,672,650,448,
554,545,575,546,272,298,452,933,182,435,322,771,717,455,128,299,619,893,037,
819,261,811,139,531,044,572,624,505,567,316,045,757,210,909,666,143,717,338,
327,246,313,447,488,270,544,701,033,259,803,416,053,274,546,482,183,343,239,
112,475,438,726,490,180,757,459,702,141,957,913,666,622,282,203,868,344,674,
113,439,419,522,470,772,781,549,317,732,566,709,449,980,439,300,052,303,136,
059,176,783,002,133,018,744,475,061,119,826,184,034,167,601,012,030,730,213,
289,067,223,318,800,846,184,766,738,813,656,065,702,670,310,476,941,005,943,
374,198,041,543,790,083,095,113,193,136,265,425,776,251,361,888,483,654,033,
459,655,774,358,867,010,598,343,077,818,312,801,908,435,106,942,030,327,771,
547,649,073,006,334,302,265,918,705,458,856,160,306,043,938,540,119,701,087,
529,235,560,106,917,008,255,241,252,817,578,992,816,476,544,103,236,628,104,
503,951,742,638,605,833,872,791,228,501,448,454,376,171,527,542,357,200,863,
752,332,102,171,266,339,850,978,168,010,611,451,698,770,260,786,672,778,689,
122,603,940,785,070,968,685,436,401,382,918,211,581,776,118,822,536,399,492,
075,022,443,454,852,942,479,327,546,295,192,069,944,142,149,322,318,945,850,
821,290,962,286,272,500,576,386,069,875,033,535,310,575,676,962,693,004,244,
392,224,230,004,483,887,240,160,552,139,399,250,128,471,195,266,017,254,880,
407,934,594,524,831,254,225,178,577,417,369,035,291,352,986,633,671,465,298,
400,232,564,478,592,394,700,972,453,475,710,628,217,697,237,323,946,740,754,
905,173,652,382,157,210,727,973,349,128,048,992,496,712,084,582,506,057,384,
629,678,604,324,772,230,720,342,879,995,043,615,190,089,514,998,318,643,895,
782,380,269,730,334,395,381,277,765,823,506,908,707,658,988,769,540,912,438,
666,155,090,480,238,303,429,324,294,791,590,339,186,371,392,287,185,744,308,
280,842,624,764,701,777,146,769,667,753,934,823,474,201,329,471,107,659,109,
588,864,743,623,601,070,602,635,115,227,800,437,415,650,401,105,480,737,844,
660,718,386,057,209,056,722,972,359,472,333,731,439,522,159,451,383,009,626,
573,823,528,976,799,848,605,912,350,058,796,515,729,177,671,973,932,205,730,
771,907,022,618,714,857,406,707,015,650,900,678,842,933,708,145,334,020,646,
961,447,314,366,723,582,715,570,061,664,925,785,824,617,553,039,935,097,152,
805,451,530,868,629,823,173,073,178,141,930,757,937,917,124,969,613,102,088,
970,976,569,945,402,132,689,195,316,619,530,089,170,896,193,667,410,867,941,
043,873,518,567,719,818,453,544,116,027,025,784,917,187,754,131,300,367,252,
426,235,469,023,671,639,663,499,829,043,969,305,758,211,274,066,025,286,878,
596,204,331,924,516,819,432,137,015,808,980,753,673,117,252,786,015,365,642,
963,920,876,540,050,230,438,474,018,927,843,003,907,484,437,942,510,372,269,
683,461,863,495,240,326,492,178,653,946,415,030,735,615,901,684,286,153,120,
646,098,013,494,097,502,499,402,997,904,654,426,646,875,006,332,166,085,235,
300,985,409,848,502,889,689,962,049,314,399,226,859,133,886,579,909,333,610,
288,531,001,057,502,393,631,532,558,570,754,721,475,567,724,574,343,240,044,
036,922,327,496,964,022,386,301,210,721,381,387,924,146,460,508,754,231,838,
162,535,697,078,258,513,851,844,234,817,429,307,310,569,742,834,720,149,081,
490,763,648,892,923,206,335,218,072,405,939,581,903,130,387,857,667,327,773,
808,191,489,870,793,006,872,183,912,206,389,966,235,624,286,239,601,505,667,
009,102,293,475,986,002,986,051,671,841,479,640,475,364,650,423,699,404,862,
954,224,311,604,874,902,466,369,925,984,356,032,829,086,433,091,027,982,200,
219,342,791,721,351,964,264,194,761,036,599,936,404,392,294,124,475,630,685,
622,866,115,221,949,948,399,507,518,012,552,174,797,339,074,679,195,059,697,
956,282,431,106,061,470,374,769,730,382,037,579,076,192,094,675,429,191,616,
753,426,229,059,810,454,436,515,374,039,939,445,474,660,379,598,724,026,642,
932,042,139,507,196,207,623,800,871,678,794,731,174,761,374,496,292,545,286,
153,666,178,767,841,548,205,136,623,864,494,926,007,938,903,714,727,463,346,
618,174,797,128,367,310,194,886,515,223,476,628,780,163,603,745,117,968,376,
522,492,654,079,051,058,075,372,940,759,844,925,301,790,189,896,224,830,333,
089,227,010,752,010,868,666,398,184,764,534,691,589,190,735,513,017,399,293,
909,175,210,282,304,062,618,174,041,976,493,690,053,185,189,130,405,198,873,
570,445,451,306,771,948,446,155,084,440,402,017,252,091,522,695,879,532,939,
774,986,672,441,371,136,919,353,840,449,690,135,714,895,871,907,127,061,287,
374,299,955,063,308,348,741,189,208,194,229,831,011,753,474,802,545,797,588,
002,690,927,499,319,554,804,454,349,480,327,118,183,620,428,720,854,620,634,
284,329,687,146,669,598,329,453,352,136,035,245,727,652,398,975,525,350,644,
033,329,460,836,459,117,524,483,643,139,841,261,538,426,935,211,949,946,232,
779,069,881,945,470,912,454,462,513,234,534,597,775,856,284,632,513,049,596,
426,540,047,104,042,126,331,569,450,578,938,445,197,763,374,750,014,801,652,
034,315,879,593,428,332,084,823,283,118,974,260,787,564,101,177,774,029,739,
666,064,775,207,353,619,577,316,113,112,356,223,874,902,669,832,357,624,172,
493,527,400,540,418,988,708,925,335,335,612,011,060,680,496,857,437,395,640,
276,634,370,652,372,968,952,448,388,575,331,302,114,124,924,421,907,481,892,
362,935,363,313,295,796,160,690,532,551,848,951,345,753,893,964,165,042,167,
286,105,317,186,628,548,115,012,168,974,521,032,430,001,297,536,420,157,007,
562,943,642,277,468,892,144,393,113,487,580,608,236,149,088,068,530,677,115,
554,050,803,112,804,526,445,462,548,073,100,147,799,573,893,698,064,691,364,
877,416,551,288,927,565,977,018,108,735,781,149,694,558,336,432,615,603,076,
976,658,852,236,818,244,537,722,581,454,273,729,545,592,227,944,013,285,584,
242,253,905,786,101,492,687,141,946,224,958,086,581,200,908,037,957,075,619,
781,925,413,390,957,615,598,002,958,137,235,621,392,796,201,533,518,806,195,
924,717,182,836,981,542,072,448,018,621,547,845,903,249,258,251,963,043,476,
537,786,194,880,575,933,823,544,819,127,229,003,610,566,076,999,332,935,119,
902,689,990,528,281,589,410,241,680,271,154,822,935,710,538,121,148,700,904,
953,445,300,039,826,221,612,141,723,344,082,044,214,945,059,651,770,679,632,
395,599,546,485,676,064,138,793,472,326,398,020,986,956,213,700,586,063,630,
814,474,046,135,660,460,748,173,031,697,010,498,898,121,686,312,219,536,934,
278,597,537,560,051,979,009,823,112,927,097,648,323,130,586,682,409,051,201,
573,502,737,173,653,173,787,022,513,933,342,710,710,975,206,045,796,519,380,
769,058,909,738,345,610,241,901,166,651,925,900,381,275,293,172,656,388,829,
343,227,096,432,806,060,891,466,332,338,603,398,113,792,780,487,043,885,230,
048,888,846,539,568,161,042,390,669,693,231,342,954,495,631,740,841,827,561,
494,404,927,520,485,156,417,367,631,435,965,935,770,819,263,460,281,039,195,
558,801,069,650,127,368,789,612,843,286,911,495,828,763,480,442,302,015,452,
539,350,378,006,332,771,134,285,989,146,104,562,178,881,271,002,431,334,453,
426,879,454,214,123,488,664,101,866,151,806,805,510,735,304,505,451,643,203,
459,244,063,033,684,903,968,276,452,061,059,296,220,937,448,739,662,257,673,
104,166,406,859,528,594,683,990,208,963,613,016,622,775,035,906,269,860,476,
541,823,404,416,499,074,929,753,069,407,018,773,442,207,868,175,982,766,247,
725,470,977,300,505,905,295,835,521,526,008,658,162,817,369,311,174,194,809,
958,980,559,468,374,207,799,316,097,392,800,247,870,004,178,790,183,730,619,
368,424,962,433,346,905,122,600,838,759,419,683,997,885,723,648,267,847,798,
432,392,703,661,769,952,690,123,255,797,392,668,711,632,759,857,163,904,079,
119,503,809,759,509,870,730,934,238,142,014,700,578,251,747,160,138,710,324,
024,788,060,776,015,155,235,943,539,452,145,340,088,693,451,186,726,642,306,
068,827,543,550,472,744,863,126,166,355,004,470,674,107,640,469,824,749,626,
636,490,431,318,971,050,529,026,870,403,958,574,089,846,238,173,646,804,274,
090,015,832,087,368,185,472,403,847,678,653,967,038,700,875,277,395,883,154,
183,372,500,613,899,477,191,691,606,596,523,721,245,117,697,812,406,496,412,
915,417,915,223,524,021,011,429,383,060,094,678,004,516,796,575,180,307,878,
526,151,553,036,215,527,710,846,612,959,477,415,026,376,748,022,928,245,632,
329,722,831,149,380,383,535,629,502,116,456,433,475,067,974,772,781,858,210,
844,444,104,075,023,871,819,010,265,804,138,747,799,810,436,583,252,700,158,
250,402,473,433,625,996,004,605,680,118,434,491,791,639,444,751,653,185,788,
940,637,870,038,830,700,676,318,088,083,683,364,646,242,180,859,697,317,265,
479,320,234,530,388,193,250,652,876,834,989,389,687,095,338,993,448,645,334,
281,825,757,574,083,191,356,175,387,043,581,131,256,169,064,475,462,980,569,
749,937,890,697,779,288,107,971,389,213,965,257,286,865,471,092,300,921,613,
954,375,216,644,336,969,702,421,067,190,380,470,689,301,153,603,610,562,586,
812,649,838,728,080,302,589,253,967,211,820,655,386,962,607,379,809,629,396,
020,468,247,861,132,288,019,941,399,793,148,299,917,525,199,044,530,246,687,
347,998,412,892,120,472,708,678,296,526,120,107,282,003,569,757,593,433,581,
744,426,007,348,710,922,163,396,171,748,890,810,416,748,265,616,238,260,196,
675,515,308,482,996,411,651,064,724,485,419,181,543,279,922,090,155,109,623,
818,836,423,308,701,512,439,418,189,958,338,874,837,164,697,712,294,342,746,
396,271,599,083,620,708,494,560,732,060,222,696,243,920,978,860,673,104,160,
435,882,804,280,756,544,049,917,223,251,186,061,513,111,220,864,805,446,283,
396,120,486,121,389,153,422,441,818,214,107,651,100,949,871,515,924,524,829,
117,197,955,498,703,465,678,520,544,215,731,088,730,526,558,207,198,359,578,
209,844,785,076,038,317,224,737,748,002,571,138,929,416,762,428,842,151,035,
572,483,627,059,595,049,448,777,063,530,179,389,333,336,828,143,379,474,279,
389,511,655,701,366,196,081,969,795,542,237,713,642,753,815,796,311,698,072,
650,207,102,530,426,454,998,202,040,790,392,524,056,463,530,399,118,091,520,
617,026,494,893,169,219,177,931,003,997,914,333,190,021,319,251,815,729,114,
304,892,634,897,718,800,337,368,108,520,905,407,685,611,949,868,192,162,102,
094,785,680,522,841,376,682,959,661,895,097,043,944,372,217,303,628,946,033,
961,700,352,400,874,607,357,696,396,922,616,454,751,089,766,792,626,361,970,
753,663,125,071,738,983,548,125,361,610,374,501,515,689,795,019,240,784,845,
481,930,462,645,819,405,656,290,035,064,775,238,181,011,028,007,283,516,154,
507,521,256,967,194,011,913,279,275,853,357,582,131,068,459,736,919,292,275,
440,142,242,263,478,893,037,614,394,960,206,393,615,306,764,586,272,279,170,
081,144,972,970,474,215,270,406,440,290,168,698,430,862,499,705,549,200,069,
266,996,980,495,734,301,049,373,569,595,818,347,127,019,157,537,832,482,643,
800,460,035,117,085,298,663,971,206,187,385,239,594,254,069,198,528,922,482,
986,337,737,714,197,887,094,550,133,315,998,525,046,766,919,389,517,370,242,
854,732,542,933,377,001,496,672,557,464,051,126,789,933,673,503,333,452,143,
343,414,725,016,078,705,846,209,104,483,421,908,763,979,546,227,083,387,334,
131,964,814,444,214,340,878,891,685,409,022,352,292,955,465,202,022,168,556,
602,064,233,122,291,086,899,619,532,709,903,261,743,480,949,575,484,953,839,
880,318,824,057,025,751,347,683,488,542,457,820,208,280,700,010,671,531,402,
590,839,184,473,370,928,459,764,187,538,104,985,241,612,490,799,313,111,829,
209,401,505,374,406,735,905,862,583,220,381,772,823,012,352,939,830,963,386,
081,945,912,137,733,780,937,511,828,630,918,423,055,039,877,360,368,938,876,
254,237,522,610,048,918,480,273,557,748,508,670,451,117,691,249,036,990,945,
520,116,459,040,970,452,141,697,974,109,291,769,749,788,303,078,090,616,307,
788,702,337,678,873,688,171,469,815,397,715,655,745,260,217,497,293,025,570,
581,278,237,304,769,882,739,340,421,842,298,060,020,524,826,206,058,080,878,
076,833,505,739,088,523,636,406,356,726,734,259,131,861,874,277,983,157,347,
636,812,604,735,697,148,208,161,149,541,966,224,832,089,459,787,528,203,459,
337,187,509,326,649,452,114,614,888,646,108,749,969,545,457,651,947,403,263,
292,322,919,341,372,578,544,447,663,998,957,373,509,893,941,564,504,873,508,
227,525,236,934,292,782,484,061,106,311,881,566,858,895,381,120,415,397,262,
408,460,148,160,666,955,679,589,323,499,917,526,920,980,867,331,885,876,938,
394,219,512,409,422,787,715,176,032,072,669,789,572,708,326,055,677,524,467,
548,488,270,010,325,162,472,063,673,609,006,950,985,931,762,451,875,041,551,
862,759,868,717,439,030,007,114,228,861,450,065,964,590,633,339,312,213,578,
002,166,787,834,456,392,613,735,425,093,658,009,750,497,292,725,983,224,418,
415,243,053,595,846,625,909,523,055,721,700,439,884,029,477,155,344,755,391,
733,228,643,416,965,522,899,465,301,571,101,595,858,286,369,595,411,021,274,
488,733,179,695,877,025,295,038,988,347,089,082,132,187,686,528,813,195,967,
711,655,539,026,190,840,259,780,592,118,656,355,216,550,931,800,599,962,850,
781,508,763,837,450,710,001,748,907,408,636,184,440,974,713,891,096,269,984,
208,373,094,063,485,028,281,549,749,885,322,408,313,788,702,794,684,317,585,
000,119,104,238,509,084,968,295,511,878,173,682,036,933,955,623,917,180,754,
098,463,072,959,411,392,644,439,928,934,906,751,318,516,419,715,161,867,493,
095,294,988,176,346,054,635,284,269,075,202,432,744,537,632,054,620,061,904,
546,450,578,760,031,590,047,824,025,140,536,464,315,314,315,751,894,879,795,
403,430,646,086,872,515,803,290,496,906,531,927,221,814,408,552,856,956,249,
705,721,818,369,541,873,667,166,740,535,009,758,833,654,917,482,028,016,554,
870,455,682,381,686,534,174,278,871,276,914,174,161,578,459,266,515,101,334,
763,922,687,114,399,447,376,024,384,706,615,618,771,996,030,591,044,881,206,
555,167,448,610,415,683,133,505,491,645,914,763,078,350,245,946,091,900,914,
484,763,738,393,597,372,273,831,941,730,956,383,243,863,107,338,508,389,804,
245,878,424,399,254,000,588,378,635,830,830,802,783,044,473,076,804,723,170,
171,524,195,128,835,687,279,959,176,562,049,961,210,154,710,155,780,832,300,
988,586,253,009,847,542,365,509,474,683,401,843,837,331,776,833,201,740,459,
876,944,102,533,168,408,149,667,966,144,068,846,733,465,294,296,031,340,384,
651,361,132,088,699,088,877,002,006,626,304,936,422,988,456,393,273,787,173,
317,715,749,360,390,930,045,154,354,259,316,225,842,444,335,572,226,452,216,
911,391,817,271,695,507,678,799,861,916,996,760,235,951,081,355,528,220,192,
363,336,383,426,993,329,053,279,474,067,646,437,616,165,633,380,105,821,447,
231,652,184,543,099,764,965,706,269,986,806,560,991,571,774,587,948,667,869,
568,479,826,370,705,438,461,678,194,928,904,598,632,277,460,341,675,800,261,
716,443,298,800,967,185,388,454,038,834,257,019,018,936,940,422,544,684,489,
608,653,999,273,400,179,023,348,402,129,842,754,566,602,910,224,012,992,581,
669,088,613,782,641,292,066,495,552,156,279,421,377,858,726,522,127,335,070,
791,536,009,169,867,872,921,788,244,241,255,440,189,466,106,768,088,870,258,
645,378,336,725,756,350,806,945,680,726,079,380,550,187,420,072,026,535,278,
827,428,992,917,285,802,264,060,037,986,858,129,012,625,927,741,884,712,579,
245,626,177,709,935,865,024,231,350,116,465,708,930,214,846,380,652,400,108,
137,231,992,156,131,622,303,935,593,389,136,413,607,371,781,332,567,431,852,
768,447,423,556,798,935,131,746,468,171,774,640,713,397,928,192,801,144,179,
228,740,846,698,322,149,030,761,261,747,278,364,795,635,172,005,174,994,730,
532,943,327,038,616,392,454,811,061,486,312,719,402,318,496,701,766,632,746,
927,371,683,943,155,699,382,387,174,461,324,128,084,852,984,204,991,039,707,
546,838,491,538,015,987,872,810,106,332,638,072,354,023,327,296,270,060,450,
664,314,937,481,692,760,485,045,857,733,276,484,824,839,572,196,058,010,936,
350,682,759,541,129,796,831,928,728,306,846,386,867,197,532,297,493,916,298,
237,775,995,248,770,122,934,517,241,970,043,987,567,114,940,529,368,533,930,
682,114,392,671,602,933,138,545,128,527,816,602,389,001,930,418,088,602,408,
076,449,065,112,694,247,593,250,032,498,908,949,703,954,961,500,500,015,834,
614,983,193,219,029,943,662,703,206,853,355,032,798,903,556,930,148,643,865,
732,762,883,609,613,385,114,824,401,373,625,470,932,777,327,453,120,463,223,
978,059,126,988,926,034,716,614,741,468,461,608,883,917,050,139,240,563,369,
163,658,611,134,493,978,887,706,295,211,509,415,777,784,040,769,806,946,082,
928,179,289,227,856,903,492,637,862,696,865,466,663,035,385,097,280,777,410,
052,506,869,277,490,664,301,136,811,902,107,343,068,552,838,500,265,827,955,
600,585,809,906,054,509,333,081,044,633,655,354,457,528,412,102,021,834,440,
701,653,079,556,902,419,396,932,047,523,570,742,592,905,347,750,678,625,585,
053,786,654,738,302,071,545,482,607,744,490,982,013,921,287,211,695,280,045,
667,276,592,275,441,458,021,819,066,395,420,498,117,827,970,872,316,166,998,
366,073,186,056,818,715,542,525,855,026,487,669,568,917,022,972,612,068,625,
309,381,374,657,598,252,907,967,222,737,202,873,504,981,687,344,126,830,602,
193,741,545,899,217,554,789,622,566,121,237,929,401,586,404,213,964,382,828,
855,691,956,799,720,094,556,983,811,559,947,540,661,922,112,127,411,180,035,
000,727,184,108,682,086,352,194,057,679,018,332,975,946,690,236,078,570,952,
728,510,314,519,245,509,104,393,367,972,374,522,144,136,916,137,858,170,992,
825,451,567,313,402,456,517,827,265,306,728,112,928,587,177,471,023,721,877,
674,887,518,606,894,083,885,010,558,641,056,512,465,658,856,365,465,395,490,
282,142,397,797,832,115,778,274,365,131,945,092,795,788,963,513,781,034,660,
700,674,118,912,697,474,836,942,873,510,639,995,808,689,497,244,642,064,336,
554,020,076,343,271,750,461,504,681,838,328,666,762,960,179,194,177,804,802,
339,965,243,271,596,973,744,390,009,400,995,720,959,859,575,939,330,582,463,
373,736,672,436,416,132,639,802,236,057,024,199,678,718,412,796,838,827,091,
361,361,252,380,196,013,224,828,501,945,168,021,984,898,724,193,568,434,316,
038,143,619,183,523,532,052,779,495,406,484,236,986,195,287,189,720,971,518,
989,558,866,476,299,413,218,128,143,454,621,712,218,987,078,463,060,160,584,
339,776,813,985,045,067,842,870,904,126,576,338,468,345,826,114,300,221,196,
300,698,081,945,855,272,469,159,778,379,731,063,121,032,643,392,987,395,254,
143,741,262,463,176,514,187,719,400,672,228,880,310,213,014,205,155,517,306,
021,600,435,048,369,858,198,458,675,725,373,056,828,587,544,031,007,848,502,
361,288,788,203,072,651,891,469,387,683,974,378,363,664,267,220,506,200,927,
885,569,487,586,554,616,006,803,266,120,934,634,219,145,585,246,659,263,612,
100,386,590,252,983,712,050,106,289,336,694,040,607,722,922,281,641,843,499,
988,516,725,749,560,735,487,985,896,134,654,718,770,421,737,460,218,173,685,
445,764,036,951,513,089,518,213,978,889,471,946,572,036,699,337,971,785,625,
258,853,108,516,382,282,512,525,786,320,433,359,011,365,691,819,274,608,630,
326,934,316,561,907,613,631,818,589,368,107,661,361,047,542,646,414,659,777,
261,071,436,313,657,906,069,535,894,880,163,557,508,488,328,865,402,412,670,
361,758,767,010,920,753,963,212,585,879,991,718,735,911,606,096,310,696,712,
167,825,369,766,450,383,615,610,106,613,602,887,251,773,204,717,703,687,983,
600,363,516,171,032,437,507,464,379,925,726,111,600,281,677,757,003,715,538,
291,793,467,672,288,160,898,971,350,538,313,205,593,835,713,065,559,483,998,
576,059,647,390,117,119,727,585,129,235,996,580,569,610,408,792,409,545,574,
254,811,263,129,760,739,852,201,576,694,503,464,834,550,195,243,492,285,214,
008,613,158,823,055,288,411,325,120,091,773,641,612,920,398,859,522,243,770,
739,304,913,749,019,516,758,764,225,780,669,401,258,053,272,764,861,154,443,
301,018,571,225,850,425,513,170,581,623,203,694,742,324,374,964,783,086,055,
758,256,639,204,208,872,638,607,905,475,764,323,596,740,089,802,524,795,282,
990,435,047,239,204,089,471,755,886,690,944,489,543,798,528,467,224,849,301,
647,474,518,782,247,548,063,555,268,717,695,590,806,942,070,133,476,876,688,
618,932,491,320,614,412,725,290,619,192,410,988,480,184,523,630,525,554,501,
895,989,171,949,080,121,461,922,987,565,000,893,109,178,805,523,744,989,415,
417,627,193,234,471,220,873,401,816,403,552,883,089,365,374,513,970,198,713,
519,309,877,421,235,674,346,394,982,187,641,498,461,415,240,289,864,139,552,
058,679,806,463,186,180,599,945,903,778,446,655,823,319,164,125,042,780,004,
689,612,388,187,217,463,607,713,240,994,288,852,912,929,291,093,254,295,100,
133,589,379,544,987,425,432,419,531,626,145,237,700,479,628,583,170,054,552,
812,329,394,223,644,796,968,382,929,502,265,118,050,825,884,071,246,947,046,
803,501,914,127,935,760,525,071,191,663,358,832,982,903,330,501,936,639,772,
028,539,995,266,418,197,350,965,217,124,238,838,513,703,924,314,965,437,157,
969,834,816,675,532,849,174,071,629,870,224,086,211,531,659,566,329,255,309,
493,508,066,771,442,077,238,148,378,213,945,472,932,927,547,346,227,654,420,
289,599,968,328,757,793,278,510,718,959,366,036,449,011,985,891,730,169,564,
470,327,632,144,632,212,424,228,663,664,281,294,946,703,303,784,802,407,402,
964,213,648,573,632,811,627,450,560,786,600,791,144,462,484,345,155,583,834,
120,471,540,245,982,877,581,728,633,445,667,438,288,884,650,054,204,626,867,
401,570,826,235,196,429,807,386,866,973,788,271,514,427,351,362,088,128,001,
496,685,470,002,707,859,008,836,468,462,321,279,213,283,320,048,662,910,280,
307,863,622,671,004,129,958,423,351,158,805,738,077,082,600,008,776,386,438,
431,999,407,337,341,404,880,376,157,918,790,733,080,523,822,209,282,452,665,
183,760,665,907,273,965,977,016,990,928,735,570,399,705,859,315,835,916,346,
156,750,314,826,657,223,612,578,055,263,415,407,000,627,075,080,115,553,376,
578,493,258,144,162,223,889,057,601,114,257,177,056,236,426,521,332,981,333,
043,480,458,978,071,039,449,616,434,749,467,315,303,363,769,547,745,263,237,
597,430,852,430,458,555,613,129,579,146,227,418,632,784,622,387,158,855,909,
090,482,356,549,934,568,088,522,928,754,707,908,326,869,338,321,938,308,358,
166,543,196,181,083,681,170,262,417,924,976,895,378,935,910,326,315,239,729,
292,356,188,383,323,628,480,926,739,566,522,336,169,703,343,268,593,787,664,
962,357,416,357,543,481,028,435,681,032,275,473,890,178,823,556,615,069,468,
839,739,305,222,982,925,007,652,837,794,986,693,971,014,377,611,381,713,898,
523,375,454,688,209,815,622,367,204,243,503,659,522,063,514,366,223,573,246,
567,828,360,411,176,117,454,794,459,854,208,642,117,414,722,801,626,650,869,
674,996,231,719,773,102,836,544,956,148,025,924,611,741,476,872,546,718,404,
221,114,161,480,876,565,005,823,826,881,117,437,519,673,403,463,374,431,729,
461,526,886,431,584,830,855,189,176,101,268,002,118,087,916,759,619,355,219,
602,176,463,799,483,263,183,400,430,892,942,699,396,372,741,577,193,932,763,
837,161,937,147,159,768,145,547,477,727,387,233,197,561,823,073,958,162,063,
649,806,580,322,669,382,086,990,384,540,951,048,247,088,296,453,448,177,811,
326,415,893,247,711,153,169,931,797,204,518,412,691,754,353,418,988,451,319,
402,169,697,001,539,889,397,108,033,295,327,078,052,194,466,279,562,019,334,
929,226,064,831,573,753,225,523,102,870,004,984,777,823,474,741,992,593,451,
477,238,856,152,533,885,791,219,748,494,718,646,695,874,946,480,564,044,651,
037,872,173,539,592,209,286,929,685,038,281,118,526,979,998,483,537,542,037,
760,386,346,315,422,341,314,012,510,258,456,134,486,258,828,071,626,165,564,
322,912,581,876,461,778,128,312,192,857,773,126,895,917,208,624,575,824,335,
176,287,540,522,894,257,659,567,933,177,957,778,998,192,798,915,251,226,024,
732,075,711,262,158,521,314,372,407,396,100,961,523,933,470,734,865,064,288,
371,384,760,733,462,019,451,549,992,025,527,876,005,818,162,979,413,034,542,
838,123,370,637,001,061,747,004,737,147,825,041,729,490,020,060,549,128,359,
611,981,232,081,911,300,444,640,166,355,566,296,601,265,445,044,494,384,465,
761,070,478,860,561,843,318,374,660,163,417,948,126,208,663,353,309,478,747,
683,491,152,196,857,715,132,356,051,107,525,634,470,336,601,876,334,271,833,
756,910,942,927,430,774,096,482,118,361,290,580,657,489,718,040,752,536,934,
016,916,711,766,216,512,027,076,591,142,683,983,540,381,286,312,090,120,768,
697,337,305,797,577,290,811,536,203,094,601,395,541,069,087,444,440,617,942,
499,804,713,846,044,013,094,609,328,016,479,497,445,378,362,934,077,113,141,
458,539,719,582,171,655,415,350,904,489,877,123,911,987,679,134,997,933,359,
417,974,598,052,772,397,423,868,547,794,264,686,330,103,808,044,710,118,540,
978,094,837,688,595,453,713,021,548,665,232,537,667,010,926,957,027,417,275,
017,678,625,370,162,684,954,647,116,653,431,578,410,173,748,123,170,508,539,
900,484,430,835,282,326,570,918,630,809,251,439,643,372,316,033,788,562,225,
140,681,334,331,951,356,522,212,545,323,317,371,486,859,807,282,302,506,389,
791,548,867,671,638,708,945,934,148,634,243,994,930,458,938,580,176,494,312,
368,983,515,725,831,612,966,838,694,483,397,009,273,609,050,667,098,129,166,
249,863,476,512,422,413,029,326,078,061,991,430,960,923,471,476,669,951,836,
045,815,340,640,879,050,418,257,625,506,333,512,027,354,085,203,123,036,942,
278,025,065,149,536,735,783,262,116,670,904,165,111,324,439,700,363,276,917,
722,015,078,313,936,440,683,713,412,652,369,532,704,126,795,081,976,063,701,
437,910,951,514,564,538,320,001,096,894,435,328,916,014,668,097,047,282,003,
765,196,814,803,754,756,389,758,989,622,915,341,949,994,973,679,001,295,427,
481,646,760,749,244,631,674,320,294,904,701,788,975,475,079,015,429,128,829,
813,803,794,222,310,071,483,635,720,823,175,843,721,661,784,141,275,525,203,
174,897,835,353,734,746,974,225,864,571,110,963,275,728,554,326,949,447,550,
584,764,052,156,375,877,841,391,545,412,922,579,619,224,973,503,121,642,424,
847,561,458,447,340,552,000,864,314,211,887,940,636,042,661,320,879,180,106,
580,079,394,493,074,410,306,737,874,924,005,697,421,976,385,286,380,351,324,
806,807,794,404,048,243,290,133,480,158,444,631,980,430,841,250,221,061,423,
768,274,382,705,832,802,989,657,061,489,162,962,042,998,430,637,559,030,170,
140,098,111,128,062,039,017,531,307,000,590,467,642,138,039,272,931,311,026,
156,021,085,956,426,408,218,312,175,484,894,301,480,546,135,947,436,521,148,
442,361,750,109,404,859,240,810,444,302,531,037,422,623,428,073,101,415,818,
870,549,212,391,831,389,718,265,057,577,548,714,401,530,886,013,065,031,938,
227,183,277,574,476,167,695,963,366,003,533,094,918,501,537,081,426,379,636,
787,214,003,802,796,892,715,897,920,131,014,540,676,366,399,884,107,381,114,
234,768,689,879,490,014,102,848,664,167,880,660,303,772,302,572,248,471,766,
109,447,500,511,405,540,358,900,442,568,562,833,705,148,564,196,966,352,846,
508,762,272,543,283,753,485,608,028,919,187,399,232,819,529,942,265,536,393,
584,722,845,662,841,086,766,310,620,721,571,543,177,150,062,215,296,060,583,
583,777,424,395,383,908,957,327,564,384,353,523,791,711,444,439,583,419,784,
994,970,912,991,390,285,197,285,317,183,571,440,695,769,870,085,514,927,420,
212,994,174,665,440,337,843,287,469,648,480,121,581,436,612,535,594,876,843,
513,299,406,487,265,957,909,531,980,180,499,123,389,951,731,173,191,088,084,
453,900,541,118,006,755,807,381,792,511,251,701,893,577,476,976,642,962,622,
199,145,098,787,018,300,206,579,814,121,553,798,096,338,800,747,957,768,185,
968,006,802,496,636,268,121,558,149,868,308,429,435,537,083,251,576,608,962,
001,815,185,069,921,688,333,214,940,075,034,398,110,618,703,076,359,818,059,
851,058,336,102,221,428,483,282,486,050,158,674,758,698,453,846,669,539,299,
665,915,849,365,926,028,092,623,613,090,282,539,682,558,946,005,920,430,715,
816,612,088,496,253,235,642,998,288,108,905,477,279,007,771,703,991,477,224,
971,794,629,481,254,031,216,609,827,759,229,657,386,376,472,344,754,726,729,
933,407,280,616,338,448,661,101,848,364,266,327,072,638,618,886,942,178,156,
779,271,957,631,202,283,300,441,687,341,063,215,836,751,991,911,157,494,253,
824,623,527,748,778,668,001,538,652,440,126,733,448,131,565,990,063,158,911,
222,535,745,362,672,804,894,615,688,894,687,291,519,729,336,815,292,408,233,
185,961,043,135,767,384,605,970,285,211,187,983,683,258,148,226,786,939,653,
438,383,697,837,179,540,287,197,281,236,257,792,397,398,990,448,116,518,240,
557,587,585,084,021,990,356,782,417,162,958,612,748,471,638,646,651,889,513,
086,598,659,615,525,385,844,603,167,068,264,101,287,302,606,641,363,204,973,
682,824,963,931,334,447,476,804,876,704,200,542,983,184,693,488,828,756,828,
403,180,069,174,761,448,507,783,094,421,971,523,289,791,022,391,953,450,684,
727,413,860,997,323,013,369,036,311,268,594,860,653,716,731,457,177,564,019,
777,123,125,391,168,058,714,009,023,541,113,457,394,918,220,678,476,908,400,
878,316,169,318,786,393,768,665,870,252,617,529,431,145,494,348,375,970,553,
173,097,260,961,312,315,437,851,420,918,320,472,305,077,028,886,769,392,554,
594,302,554,780,498,719,479,221,840,248,755,823,967,552,354,356,068,904,894,
627,630,840,780,777,574,609,992,291,711,327,866,431,121,565,412,405,917,142,
951,685,568,293,552,940,741,864,546,156,657,637,037,465,854,989,272,303,935,
962,535,496,670,672,008,251,692,336,194,591,661,779,238,396,500,414,771,640,
866,537,909,444,692,151,524,671,322,788,651,851,776,435,915,298,131,550,589,
808,210,517,046,820,172,857,523,660,146,016,453,361,779,619,422,324,439,709,
204,874,926,676,457,977,876,899,493,905,216,484,402,224,987,711,725,978,823,
108,259,639,033,977,790,625,273,694,800,524,032,260,996,559,407,772,755,990,
641,658,733,992,865,604,312,023,269,571,396,417,070,630,986,115,018,107,574,
030,692,329,015,298,894,161,826,657,404,920,720,227,846,365,391,364,482,233,
060,337,524,026,136,090,361,632,878,954,835,006,003,475,324,040,954,164,996,
539,045,072,567,161,998,368,697,456,745,450,477,491,717,489,874,315,676,325,
519,247,037,095,861,328,450,719,619,442,638,748,678,847,417,598,398,222,175,
544,648,821,724,058,081,189,725,448,494,525,039,680,917,976,938,030,333,826,
348,572,571,625,801,050,553,844,361,037,680,171,774,794,369,813,615,979,067,
979,648,263,983,324,653,777,425,648,334,860,927,929,972,602,780,714,588,528,
814,982,562,015,460,473,604,263,801,653,332,428,789,704,825,616,224,113,797,
173,862,839,862,953,720,965,593,141,810,039,174,266,903,501,799,581,100,887,
793,751,279,541,026,987,677,835,375,760,326,473,302,392,813,357,364,380,124,
065,167,317,753,306,120,780,983,963,270,673,622,086,183,789,386,934,167,204,
758,382,666,588,127,402,000,302,762,445,559,901,696,720,545,855,017,708,524,
475,760,774,687,054,226,666,501,159,760,909,502,894,662,935,258,027,894,350,
312,787,701,619,201,868,360,976,158,015,721,041,681,288,707,961,651,242,167,
975,632,091,358,880,503,873,741,035,036,190,346,704,449,078,409,323,109,242,
163,781,481,373,160,389,634,836,678,288,970,524,846,501,784,163,676,752,970,
393,843,105,826,423,442,518,195,117,489,428,343,812,488,765,587,455,096,974,
831,407,186,234,723,320,123,352,957,507,221,682,863,480,858,500,481,564,378,
703,581,623,957,829,379,179,835,206,186,062,233,910,141,325,312,434,854,020,
890,352,993,333,172,798,506,444,557,084,646,594,299,162,266,946,422,812,233,
671,661,666,235,982,679,152,777,455,175,660,237,651,247,995,052,558,264,628,
709,471,129,808,845,632,340,461,457,301,605,620,179,186,907,375,333,844,071,
396,537,902,202,634,335,851,488,073,279,503,285,807,462,420,969,348,745,950,
279,845,512,902,276,755,943,355,134,637,279,320,466,311,176,188,061,079,437,
525,742,623,360,240,891,326,845,478,109,061,500,709,243,427,334,619,359,359,
822,401,133,251,852,673,806,450,624,025,807,058,941,234,122,974,525,056,391,
791,396,034,086,599,718,389,357,265,044,706,796,089,049,954,810,940,062,937,
941,321,692,762,581,387,065,937,511,313,360,647,668,642,134,879,664,799,314,
259,974,668,451,859,790,840,927,818,066,351,971,839,610,505,415,056,682,693,
829,768,968,891,105,113,229,427,725,537,616,828,243,147,468,046,693,758,428,
882,393,749,550,314,103,816,380,052,621,742,276,809,588,707,230,231,145,788,
751,781,830,945,995,316,583,378,453,506,533,772,680,767,842,260,799,957,076,
610,664,956,911,999,040,952,862,386,146,597,861,394,181,501,635,552,947,997,
647,513,741,985,851,811,386,500,079,584,171,799,203,528,576,689,227,798,034,
384,046,788,748,180,380,257,246,437,815,448,482,030,645,078,694,306,111,028,
180,509,536,475,166,957,104,760,759,791,507,233,359,084,659,840,167,383,919,
543,606,181,343,229,230,985,881,422,108,360,373,663,703,279,713,404,372,950,
298,640,861,357,753,325,381,578,068,215,372,511,085,778,283,727,104,100,353,
198,304,274,203,753,633,247,392,534,451,525,520,451,977,258,707,376,255,524,
493,897,560,639,541,268,980,597,264,812,521,112,631,658,808,146,516,740,450,
379,745,744,237,199,852,923,821,038,615,873,595,439,798,158,881,693,053,221,
552,053,647,747,519,711,655,371,281,529,939,655,518,280,343,578,319,373,078,
483,791,721,580,958,659,079,362,391,499,937,061,649,038,081,678,278,865,196,
400,724,157,627,566,189,453,129,764,688,460,084,469,464,767,682,963,867,728,
444,171,438,938,345,651,653,291,357,563,915,346,991,701,042,265,020,969,358,
645,801,700,211,772,352,985,489,127,634,201,514,118,051,491,597,143,768,658,
138,328,241,164,866,130,575,813,122,254,629,353,396,009,071,643,927,804,710,
513,099,944,120,657,667,581,839,931,938,624,153,766,647,959,134,418,407,947,
031,746,549,205,051,549,439,956,690,753,175,836,223,388,716,903,705,492,519,
709,425,001,853,839,586,935,167,757,924,753,276,385,645,441,118,462,052,318,
828,109,793,374,328,878,565,063,204,017,591,920,489,590,778,519,179,101,724,
848,350,154,983,138,867,488,396,970,406,496,527,772,632,335,464,908,527,980,
213,899,206,557,449,266,967,390,386,188,654,956,676,750,470,453,358,817,181,
095,256,227,952,559,306,129,141,516,321,736,706,691,691,161,374,910,070,346,
199,495,020,080,189,555,800,764,285,993,092,029,424,842,349,968,137,096,726,
534,853,921,475,846,100,858,056,172,950,820,655,460,153,403,101,719,251,595,
303,456,643,603,710,687,557,606,467,749,096,547,110,870,693,521,032,696,754,
025,309,992,874,965,264,317,652,280,857,514,808,107,688,857,345,910,005,479,
383,931,782,267,917,487,265,249,682,339,351,268,157,549,902,573,867,857,356,
864,136,339,898,820,990,678,429,898,092,451,567,450,797,530,221,780,380,852,
643,530,393,591,021,534,887,222,978,687,649,120,418,119,410,179,015,432,524,
879,672,545,234,956,742,581,521,273,899,475,191,648,285,668,115,652,775,157,
126,532,496,939,891,234,256,021,275,480,404,731,068,388,388,094,772,536,993,
579,310,674,095,173,273,574,958,436,853,946,717,911,896,197,786,084,689,829,
089,601,023,891,488,423,004,016,432,381,969,147,755,345,808,460,650,520,442,
896,373,581,441,186,728,763,073,802,497,060,435,463,960,299,799,361,055,756,
468,834,908,067,813,926,172,609,545,277,722,652,197,142,122,059,056,810,693,
869,118,767,479,826,394,845,649,351,525,429,803,266,181,770,018,615,701,236,
608,362,343,645,899,164,342,979,993,533,021,303,721,230,291,792,537,410,280,
609,649,813,826,908,800,318,931,180,240,720,792,399,089,586,497,486,964,997,
098,512,262,755,683,952,816,701,383,477,862,973,328,621,164,598,724,997,593,
186,490,750,065,994,686,890,806,312,384,147,212,369,172,373,209,741,531,404,
342,242,724,731,212,483,438,047,874,001,354,056,612,310,418,218,938,564,574,
613,594,221,279,781,177,843,290,670,229,528,264,484,471,056,874,360,851,263,
801,185,883,935,876,268,069,615,415,539,688,176,888,766,345,643,441,259,643,
416,650,341,919,382,168,588,801,346,321,013,167,686,334,068,970,682,980,407,
251,379,555,616,483,696,970,816,087,541,597,433,629,926,107,959,013,941,591,
239,900,672,623,070,214,462,044,210,028,734,943,558,798,138,292,857,033,474,
818,245,968,996,582,312,091,742,470,838,553,862,572,895,314,834,989,977,158,
315,393,414,074,587,242,040,080,036,266,409,709,183,333,570,718,011,899,838,
745,313,485,814,040,760,773,304,070,026,387,567,359,802,318,274,422,031,015,
776,223,352,833,521,497,918,642,891,366,691,316,522,956,946,233,686,158,132,
367,305,748,099,200,575,193,203,478,771,738,730,162,663,972,088,050,881,460,
631,584,530,247,701,519,851,796,000,198,455,542,966,602,084,764,933,354,972,
336,257,476,075,578,917,159,064,611,078,923,344,593,979,975,436,780,293,617,
254,179,316,789,278,920,088,766,188,228,174,313,564,233,807,227,692,137,102,
320,845,529,237,869,585,227,140,560,551,470,996,461,348,033,901,187,859,796,
047,167,719,102,592,272,090,429,297,711,137,883,436,035,073,327,248,594,597,
024,146,964,790,442,994,170,387,766,892,116,023,178,462,727,839,598,277,188,
554,850,327,549,357,946,483,823,414,343,840,752,898,540,534,329,274,347,884,
295,921,840,449,100,292,398,197,493,299,154,935,058,188,182,875,939,657,650,
114,062,600,746,953,452,871,856,115,409,716,126,726,279,162,248,468,264,076,
503,256,738,011,037,428,639,639,390,002,779,274,660,830,507,866,238,549,122,
867,641,495,277,404,034,639,606,968,365,679,661,519,815,483,749,585,776,092,
552,113,796,794,265,538,953,061,694,178,416,560,690,891,985,180,230,268,630,
598,840,386,575,754,349,698,125,984,723,734,118,653,725,114,955,310,545,880,
983,606,079,267,923,316,744,563,104,579,348,631,502,318,561,080,647,762,256,
295,068,749,346,383,288,047,207,344,471,982,305,373,238,420,103,051,492,729,
156,513,270,628,497,624,359,282,809,741,891,718,832,924,858,642,310,069,888,
551,386,315,223,547,764,846,512,045,810,094,822,777,075,649,703,381,588,223,
519,003,844,513,106,304,266,629,967,214,468,256,445,317,752,634,689,690,917,
216,103,505,332,777,198,398,614,653,680,793,049,654,434,668,734,046,473,018,
136,311,730,931,951,571,311,266,141,644,275,763,994,691,098,343,012,669,428,
607,049,654,428,832,602,128,669,688,532,650,704,618,553,319,496,081,184,293,
453,375,076,901,544,823,429,458,592,844,826,813,972,169,397,612,416,943,095,
253,883,994,347,970,698,600,700,915,766,823,523,165,575,023,396,762,041,356,
931,828,212,963,524,780,606,169,226,834,763,963,839,841,036,314,217,940,475,
699,494,185,749,745,021,855,715,039,185,099,367,836,579,470,698,585,987,699,
330,209,933,488,252,546,210,521,622,712,502,901,783,347,703,007,718,000,636,
798,018,318,219,893,961,097,039,453,480,561,390,994,497,772,350,054,602,044,
128,368,600,139,242,678,876,077,421,997,612,610,007,138,211,523,684,028,290,
090,885,981,517,488,421,503,562,701,855,087,054,643,083,304,504,678,087,454,
213,272,903,408,527,038,560,907,107,440,823,869,725,558,891,795,569,578,617,
175,282,092,066,475,296,071,462,168,534,742,520,198,588,384,418,621,656,548,
380,960,380,547,451,760,197,939,984,442,279,112,954,232,724,514,960,207,340,
736,385,497,018,636,011,195,705,100,183,047,288,301,798,760,554,520,002,223,
034,104,406,073,929,084,154,349,723,468,411,274,436,556,738,154,276,559,341,
120,575,916,852,360,360,078,590,336,643,612,735,753,316,139,138,394,136,610,
108,867,878,796,136,512,163,163,354,681,844,472,746,552,917,531,932,763,977,
599,006,603,950,071,462,204,400,365,547,923,192,101,983,468,322,718,690,563,
421,413,282,177,697,574,448,286,095,660,893,042,580,234,284,004,655,893,385,
755,832,832,022,218,585,656,024,174,646,588,997,918,662,057,355,812,752,917,
369,761,247,923,155,618,462,330,885,230,962,275,569,645,840,914,377,920,384,
037,801,008,950,194,249,573,555,334,782,814,879,851,209,915,965,310,756,382,
183,101,815,129,154,731,914,066,204,229,526,654,276,730,883,564,715,646,272,
315,472,114,648,068,802,164,120,204,898,741,329,074,220,495,543,033,751,753,
752,092,026,184,293,068,204,761,235,523,831,372,899,799,437,083,087,424,835,
940,497,921,158,292,622,876,067,532,449,976,623,491,317,677,226,650,558,247,
844,716,170,413,898,540,075,626,957,063,090,652,068,100,245,638,078,743,904,
067,312,918,109,976,273,919,588,276,303,363,703,853,439,639,328,422,815,850,
579,485,966,456,177,277,618,516,837,630,703,764,277,169,150,254,370,437,764,
949,108,972,774,564,098,150,021,697,973,161,843,041,504,728,161,395,351,098,
580,125,930,672,479,662,689,331,740,246,316,661,903,540,241,321,413,730,788,
471,236,576,327,637,901,320,560,488,398,312,742,429,006,827,272,168,932,559,
013,160,304,202,541,646,935,020,268,679,611,260,456,861,831,689,555,194,839,
815,997,734,551,438,429,055,175,914,725,319,249,685,758,295,586,160,356,392,
930,741,574,984,160,169,310,732,305,188,933,019,192,452,272,470,490,503,540,
403,037,102,466,309,359,975,467,801,611,684,110,975,492,965,714,947,055,368,
363,929,457,907,947,010,711,316,817,325,370,577,327,139,056,276,626,371,804,
734,254,691,725,195,972,501,234,693,608,713,680,239,124,552,886,869,254,292,
052,636,289,215,785,393,283,820,432,761,374,709,266,531,133,386,429,197,132,
599,495,883,116,156,108,163,791,227,512,825,357,185,057,524,207,107,706,119,
485,852,935,466,093,774,314,779,140,455,010,057,213,716,385,969,727,194,849,
909,321,476,906,251,986,360,505,081,805,773,268,468,577,582,788,142,879,882,
148,805,102,629,924,665,610,252,511,352,644,059,694,443,815,279,470,381,510,
941,205,425,985,597,195,682,018,576,107,614,579,044,312,862,352,823,955,966,
549,885,852,311,632,286,860,780,314,170,779,435,020,309,032,205,614,831,721,
267,257,014,151,493,887,338,934,765,553,268,272,016,260,404,642,566,865,459,
648,645,141,285,413,767,385,088,182,026,911,705,447,179,363,201,719,015,950,
812,449,084,040,428,782,817,579,158,747,064,257,922,479,021,609,429,529,226,
426,304,974,774,324,724,704,546,693,028,524,619,755,323,931,861,993,351,008,
113,418,790,041,773,926,364,673,552,314,282,529,531,125,568,565,408,917,425,
756,627,937,605,996,813,820,079,255,334,248,597,337,130,916,470,922,368,865,
385,900,206,025,167,239,514,815,329,619,129,278,993,860,790,537,574,989,887,
311,581,564,730,693,599,641,104,519,365,150,307,282,519,827,638,190,235,527,
166,261,943,688,394,304,448,712,983,655,802,341,076,310,000,870,076,673,046,
475,271,374,500,012,918,814,787,847,269,439,911,127,568,404,838,059,879,071,
360,837,695,221,654,702,212,687,707,663,784,807,526,971,370,854,068,523,572,
861,019,798,791,261,600,399,384,815,462,373,415,998,849,858,434,448,326,400,
389,580,302,849,885,537,466,395,616,946,592,414,054,531,121,226,060,436,437,
072,646,240,431,733,280,937,741,606,655,676,855,824,957,996,674,643,669,707,
490,811,035,681,271,156,348,989,787,606,801,241,362,568,116,740,926,239,861,
134,386,098,357,374,253,937,875,634,353,595,427,648,977,493,965,180,591,580,
338,776,160,903,477,177,586,596,457,394,110,191,475,783,282,205,640,174,478,
236,047,865,275,655,091,732,651,745,929,190,120,454,006,249,402,228,803,199,
150,327,926,217,119,317,911,380,429,880,211,504,406,254,105,967,663,319,678,
371,100,345,273,159,375,843,782,533,145,249,043,415,788,297,185,966,992,657,
309,655,941,069,691,207,357,095,286,276,368,064,747,732,067,433,261,680,738,
025,535,711,679,380,822,902,461,158,568,720,002,686,540,892,947,210,794,012,
032,348,758,684,208,909,098,477,911,846,386,675,132,461,560,748,833,279,226,
571,697,968,033,265,845,508,896,401,790,721,895,568,948,616,635,715,837,044,
454,428,972,946,010,668,249,611,478,633,898,015,350,931,336,104,812,315,553,
967,803,743,894,601,194,479,229,128,432,038,703,332,225,941,013,228,275,687,
386,697,946,758,573,873,729,119,697,876,538,702,286,533,813,564,118,177,120,
307,700,247,246,912,906,071,517,782,197,022,002,164,780,863,526,018,455,637,
357,810,313,949,532,167,421,604,346,477,806,417,343,670,765,182,582,866,284,
485,620,914,089,366,863,683,365,724,702,941,865,944,828,191,480,198,354,166,
757,324,221,355,122,047,661,919,953,799,707,711,266,550,779,759,908,769,159,
846,512,319,625,740,734,952,888,693,735,120,366,441,825,661,295,212,075,583,
430,846,550,907,557,978,441,703,903,914,955,225,302,396,335,639,770,262,064,
177,566,999,313,950,057,327,785,516,856,062,917,801,283,630,667,895,236,553,
450,219,305,365,578,684,902,443,604,620,186,709,690,924,088,337,646,346,973,
858,058,265,144,177,479,483,951,403,550,124,590,631,903,966,853,661,133,402,
896,579,307,756,593,961,989,419,458,552,277,569,780,628,326,409,183,801,998,
256,534,516,986,340,962,838,007,865,610,587,471,839,930,268,012,694,817,252,
553,013,717,074,013,158,097,283,860,402,320,466,064,229,809,117,596,625,141,
897,079,977,278,323,606,659,935,524,070,155,580,628,523,336,305,315,949,824,
195,518,904,685,992,020,552,946,404,265,661,867,466,626,649,470,648,635,115,
261,987,389,766,167,803,384,182,105,398,792,942,299,295,650,550,463,137,357,
509,454,294,136,782,169,705,927,253,039,416,903,524,217,837,823,926,374,975,
036,946,000,228,393,230,080,598,204,283,530,041,754,700,667,907,983,894,699,
563,134,717,388,395,386,600,959,822,654,705,117,338,550,648,853,173,782,557,
876,893,355,474,665,703,014,719,115,390,977,507,173,550,675,787,693,366,257,
037,088,435,130,683,465,369,263,776,694,969,564,138,055,095,344,567,659,145,
353,981,250,890,786,374,316,137,559,975,564,932,285,733,181,870,638,739,110,
972,373,136,995,132,153,801,350,400,298,450,106,390,465,040,870,212,143,842,
779,767,045,681,933,616,927,148,032,589,913,731,758,742,136,668,798,887,956,
904,968,909,989,653,819,722,638,003,952,839,544,590,416,943,236,263,378,561,
473,261,012,453,924,252,247,670,310,205,170,564,048,878,788,985,515,921,234,
628,644,052,353,465,432,259,510,038,350,312,322,245,500,000,790,410,050,818,
875,742,782,549,758,478,759,906,431,291,176,670,058,981,280,258,356,068,202,
217,332,608,532,900,512,474,015,426,449,891,164,704,003,527,726,611,696,013,
509,817,307,213,163,771,415,652,991,521,447,703,069,075,266,702,036,464,238,
941,478,383,601,827,889,355,855,834,122,982,688,074,340,003,510,799,454,185,
393,922,357,279,231,886,000,977,940,535,886,049,313,541,147,227,118,970,785,
549,025,794,904,850,882,517,722,298,297,063,147,523,225,163,860,613,962,261,
428,201,507,537,006,416,273,997,795,834,824,347,669,296,969,156,990,052,382,
110,757,662,288,384,341,992,189,208,880,815,447,648,903,841,246,398,491,353,
070,630,329,483,120,509,938,818,709,919,446,595,471,841,341,008,816,946,663,
676,711,743,177,586,788,575,444,704,798,340,517,128,248,783,434,393,151,953,
387,311,484,949,464,936,908,278,037,978,317,248,097,120,007,675,955,337,969,
228,118,582,580,701,051,071,007,196,968,528,484,642,080,859,472,486,227,045,
223,690,971,591,842,721,410,693,150,092,341,796,906,146,707,988,057,709,327,
822,613,004,011,606,021,640,777,920,344,213,085,050,777,783,498,687,683,806,
307,562,095,760,905,036,785,849,584,047,893,153,433,104,318,154,418,082,074,
410,342,255,704,889,819,812,526,714,636,508,702,670,891,305,958,962,859,773,
707,763,539,532,112,842,436,497,185,074,078,120,440,033,830,283,508,314,118,
348,737,121,286,470,210,657,679,625,370,409,377,296,498,417,447,507,748,680,
277,536,684,363,197,773,967,136,110,204,541,489,746,383,454,385,265,238,178,
764,830,889,613,503,573,493,775,842,779,184,778,518,458,295,589,313,837,426,
847,905,120,849,371,748,403,894,034,372,539,617,356,207,557,551,528,091,650,
929,415,025,264,694,828,535,631,854,158,611,906,589,144,369,555,507,514,648,
144,564,069,456,346,872,910,078,131,213,874,909,529,019,004,619,484,478,428,
040,044,418,100,343,905,246,197,600,659,837,441,022,214,112,162,600,291,670,
566,545,922,135,716,113,974,638,486,726,932,334,517,795,152,213,292,648,824,
451,125,965,401,233,354,783,108,954,046,465,904,262,412,644,481,443,481,090,
171,516,575,226,813,216,097,164,393,403,099,383,786,406,699,918,383,049,822,
093,524,998,737,148,111,401,077,081,722,154,118,555,384,869,378,043,197,465,
469,943,288,405,640,496,329,318,945,074,131,609,005,803,976,250,713,054,005,
462,539,511,646,306,575,934,006,902,704,586,859,230,344,711,592,983,658,038,
031,796,409,899,045,149,778,678,294,473,560,001,828,500,683,602,747,200,519,
348,613,930,114,239,976,860,487,790,957,962,248,459,683,865,188,220,284,866,
203,912,254,694,397,395,122,440,172,863,399,441,410,660,145,567,595,661,248,
306,077,397,483,684,478,330,779,287,817,239,024,934,925,564,002,192,636,639,
531,266,052,417,742,054,124,399,861,233,458,737,514,844,081,174,909,862,526,
551,080,621,732,319,991,417,926,696,951,545,186,880,693,706,304,612,159,073,
338,205,608,875,391,797,937,600,314,635,736,746,884,371,478,645,317,558,219,
408,997,044,122,124,962,286,625,158,004,821,590,022,999,144,982,708,087,607,
403,825,340,999,634,917,327,904,821,311,726,746,286,664,877,998,771,291,434,
060,490,329,546,691,851,875,753,345,188,592,382,600,479,597,738,357,663,120,
087,003,987,778,212,350,427,251,549,314,376,033,578,131,665,468,547,002,959,
704,003,417,696,320,448,355,118,724,309,157,113,159,815,310,122,037,945,898,
105,839,230,620,584,534,687,706,108,303,318,817,548,309,357,420,657,941,018,
588,797,818,091,722,331,865,500,837,863,825,122,593,324,899,323,061,275,132,
706,432,290,740,829,063,663,848,479,181,189,083,886,701,159,701,313,200,945,
572,252,491,462,567,745,128,760,397,462,695,152,311,560,372,522,571,714,980,
569,169,490,614,765,503,408,198,960,246,327,974,722,912,795,767,661,376,755,
359,955,040,013,615,547,172,075,549,972,651,469,964,986,378,954,490,931,717,
197,160,849,904,036,367,071,208,297,313,281,500,642,957,658,105,425,799,227,
543,313,020,739,967,087,013,003,071,638,151,623,298,586,705,185,807,094,929,
349,011,455,988,121,758,162,635,476,180,397,530,799,716,993,037,206,650,965,
719,894,928,107,401,587,868,202,310,182,418,966,186,771,631,713,487,596,263,
878,588,593,467,096,657,733,652,761,420,710,660,659,019,175,272,894,589,875,
799,172,474,481,102,129,059,808,307,357,867,537,505,891,763,871,541,589,411,
063,971,500,832,480,956,659,639,383,471,407,207,446,880,764,193,080,165,605,
287,030,906,734,005,007,909,678,457,090,314,542,813,237,493,143,882,981,359,
608,111,948,093,643,371,760,400,044,309,453,126,510,166,848,939,562,174,731,
369,150,517,741,458,130,630,960,283,166,058,694,989,634,777,818,881,549,239,
790,917,074,588,811,629,447,669,321,266,719,862,950,096,349,214,770,885,962,
003,369,468,570,297,729,903,767,448,110,595,957,675,535,511,047,898,198,219,
717,936,988,166,032,444,921,283,246,743,708,144,900,458,112,305,378,869,563,
134,828,090,390,257,159,831,388,878,413,456,752,126,508,969,786,187,260,470,
267,780,236,702,478,340,602,115,481,009,456,873,363,986,293,677,023,816,613,
655,471,327,769,157,404,697,251,772,453,916,724,737,877,089,750,787,591,523,
661,768,513,736,235,449,385,889,640,224,501,938,462,121,123,161,748,074,559,
798,214,715,575,972,984,850,758,525,643,745,914,983,418,810,850,890,315,179,
095,822,871,812,223,982,396,568,570,669,622,084,159,570,811,725,121,644,822,
378,439,142,746,000,036,330,666,804,598,586,796,333,182,857,233,332,467,013,
700,442,466,734,691,159,968,067,519,512,405,077,236,476,435,192,637,233,233,
194,763,618,777,644,180,244,857,455,220,081,387,687,666,074,600,868,280,348,
646,815,896,030,312,226,789,491,099,060,631,706,960,710,214,300,892,586,503,
745,354,157,895,649,479,695,759,791,484,213,214,917,058,979,211,421,847,718,
806,031,100,675,779,477,669,323,171,408,862,696,357,740,287,241,767,312,387,
037,512,143,608,366,975,902,574,166,500,231,298,670,725,891,656,942,254,362,
385,143,507,750,032,216,152,976,121,107,838,712,343,971,944,852,710,580,687,
501,399,547,500,566,480,468,736,056,704,434,570,201,107,511,806,351,832,580,
298,201,672,312,760,277,763,943,600,906,626,465,950,435,939,230,853,988,665,
732,565,641,967,840,663,110,579,990,002,772,703,550,075,136,191,983,893,198,
237,694,581,693,414,194,021,982,660,636,206,613,103,179,417,423,430,303,254,
025,998,233,289,518,815,290,172,042,612,235,648,832,763,026,736,009,315,585,
613,298,195,701,050,423,178,607,524,190,387,495,039,149,037,601,922,610,744,
010,520,042,374,025,002,457,351,803,525,556,260,127,700,101,009,171,469,726,
442,056,163,701,721,215,469,963,475,796,780,471,398,364,616,206,978,187,057,
323,541,863,411,595,956,046,560,192,669,931,072,108,636,455,062,962,011,027,
998,783,334,131,023,310,764,435,996,340,998,823,962,463,773,687,459,724,170,
776,126,601,380,990,999,848,051,916,288,157,519,379,996,498,894,742,382,126,
156,639,478,660,667,638,549,821,239,604,754,039,429,395,598,389,125,989,204,
572,512,628,932,709,264,697,661,865,534,086,522,862,032,090,708,423,908,996,
931,220,044,767,263,385,260,599,090,784,016,044,962,983,571,104,678,838,103,
333,592,500,785,215,270,340,147,185,726,766,853,100,719,832,470,918,009,705,
963,957,901,061,095,361,165,197,422,220,921,315,165,234,923,549,674,430,044,
199,578,222,384,853,533,843,306,391,124,774,223,523,783,619,292,512,365,940,
295,440,945,170,748,858,749,832,213,668,488,496,293,828,155,245,948,412,302,
209,856,176,060,021,976,773,821,374,266,520,547,987,242,148,316,370,767,141,
615,062,461,986,448,468,468,321,151,788,577,365,371,935,279,449,630,497,553,
228,235,386,568,192,016,709,225,674,102,958,551,124,305,837,952,801,166,817,
618,884,896,378,750,910,648,901,458,611,741,195,398,021,567,437,226,914,740,
807,914,627,143,837,464,481,106,983,795,168,821,447,074,207,291,629,679,954,
678,820,079,711,566,264,694,791,216,322,143,168,498,665,997,095,103,939,467,
988,076,623,648,031,311,836,306,746,672,592,817,536,277,960,555,577,636,788,
345,592,999,879,288,666,353,254,851,875,693,075,250,337,803,980,380,788,740,
095,977,820,688,292,873,126,644,863,313,441,267,395,282,569,470,611,902,410,
394,262,770,884,097,204,824,616,687,583,956,459,350,141,421,160,833,353,229,
165,167,214,133,765,755,303,874,502,996,692,327,653,384,933,347,543,456,615,
103,163,821,342,646,140,738,877,370,243,749,353,533,575,150,351,695,209,593,
049,652,509,804,962,687,438,997,259,684,780,285,886,586,755,100,375,022,977,
985,485,309,185,746,368,251,682,555,061,666,041,299,286,862,698,068,431,323,
501,787,065,290,391,242,166,158,520,719,224,578,264,908,591,197,397,181,119,
460,761,459,983,924,455,072,581,867,973,479,177,302,833,613,216,417,958,457,
971,527,313,965,380,979,990,737,440,502,466,870,396,613,329,598,319,947,221,
205,873,463,941,869,536,339,792,319,877,261,396,982,725,915,810,101,320,857,
601,753,745,092,565,854,424,170,858,446,117,017,895,523,556,147,676,724,189,
584,955,533,701,769,331,156,187,834,839,250,161,617,769,652,686,463,030,498,
126,044,195,200,496,675,060,234,396,397,498,838,954,174,222,232,143,455,566,
072,428,338,290,118,663,365,321,178,152,691,306,724,210,853,949,331,745,728,
017,543,616,711,721,989,747,684,218,694,963,377,401,596,652,286,899,219,495,
008,518,115,075,379,460,589,824,457,892,247,504,660,464,470,372,932,204,364,
919,909,527,024,633,119,724,266,095,784,247,327,300,102,089,128,996,313,477,
629,950,325,839,438,038,792,116,382,823,626,643,979,857,714,835,681,170,943,
728,962,213,654,265,877,045,770,297,477,342,437,255,214,124,476,646,034,160,
334,295,414,023,301,615,023,032,322,701,939,589,414,089,495,001,945,693,446,
104,567,339,831,942,182,119,993,828,649,869,972,836,183,288,106,625,775,465,
135,537,613,338,408,346,230,125,984,357,975,139,099,116,553,474,794,532,272,
939,422,345,305,759,585,079,808,374,140,253,750,037,730,959,776,296,032,789,
949,953,554,830,452,964,947,374,957,434,442,145,025,298,374,768,801,708,247,
990,484,751,757,492,360,017,973,278,428,047,071,649,843,368,913,002,863,601,
235,109,385,251,319,237,606,690,205,844,530,855,627,876,791,478,423,047,492,
248,448,617,096,700,512,271,384,795,476,458,386,355,972,053,846,421,245,585,
755,513,806,804,180,528,542,058,072,537,313,293,079,819,310,790,906,688,745,
742,542,268,788,461,327,736,293,772,255,566,058,617,457,918,925,838,238,603,
547,753,162,704,105,022,713,890,032,824,078,399,090,569,002,924,878,798,250,
066,313,007,192,429,605,584,129,495,845,481,284,396,109,762,397,706,281,563,
018,153,209,459,958,942,375,899,182,105,290,594,920,817,292,387,772,852,048,
660,678,738,742,466,247,691,338,273,313,018,360,569,699,566,314,682,935,960,
210,653,095,927,373,867,318,340,988,714,125,469,168,107,990,159,031,747,346,
170,829,555,240,514,871,076,198,701,992,680,688,567,505,667,356,596,449,945,
071,509,043,434,658,936,083,946,434,861,199,833,829,052,592,636,854,843,806,
167,160,781,218,614,989,717,018,218,609,040,429,002,645,723,491,743,405,231,
737,790,489,952,271,382,169,055,047,280,451,597,237,906,005,901,581,209,373,
791,512,667,908,169,078,382,990,626,993,189,667,541,061,036,346,791,330,407,
242,839,578,743,707,815,188,180,823,608,810,303,138,292,034,226,629,255,668,
251,927,466,292,991,554,078,206,892,847,393,183,769,533,244,347,128,772,058,
679,696,912,793,239,891,005,166,880,827,668,384,724,614,300,054,343,465,214,
489,361,094,478,984,731,667,228,022,145,419,947,974,685,774,899,605,647,805,
952,838,702,545,442,334,758,453,601,348,625,065,935,590,915,124,034,386,689,
078,533,906,469,944,820,058,934,509,620,891,976,288,559,982,907,952,086,658,
153,678,304,597,163,854,897,111,611,111,524,664,192,216,928,681,623,603,104,
780,483,812,667,358,086,904,578,512,587,032,814,838,944,969,274,890,261,901,
865,904,955,860,892,207,969,824,453,298,217,769,413,614,325,035,513,888,469,
679,959,683,756,248,456,069,144,854,346,796,135,119,099,515,414,329,921,214,
210,838,005,540,504,901,270,610,186,040,991,721,776,777,614,694,535,185,454,
819,052,636,690,151,577,461,831,534,886,463,478,307,838,493,472,755,387,536,
299,664,956,106,373,141,425,440,091,131,499,311,159,652,485,691,731,057,843,
222,204,257,519,780,210,762,405,925,625,196,601,811,434,102,852,122,199,620,
832,042,866,669,152,008,242,146,236,454,792,498,948,122,425,439,240,313,012,
219,170,283,651,004,058,426,536,366,730,848,905,028,903,937,697,709,848,186,
797,787,336,878,069,787,882,487,059,998,772,795,600,987,886,405,620,139,831,
330,704,027,328,815,454,878,456,396,055,789,863,353,240,561,044,825,380,552,
079,872,787,880,756,025,763,025,150,393,297,161,328,238,486,691,870,519,932,
544,561,050,264,272,254,316,270,157,942,033,134,414,128,783,256,641,485,330,
555,368,568,451,515,919,731,907,869,546,222,290,525,676,706,650,191,880,546,
294,995,995,993,547,666,193,331,648,154,818,233,840,698,687,505,774,315,379,
994,673,507,806,977,718,198,149,340,233,873,466,522,098,987,382,405,186,125,
229,023,433,379,216,863,710,773,297,411,034,071,418,612,568,549,887,316,773,
066,789,047,878,921,944,142,857,414,924,072,744,566,076,426,474,040,721,078,
724,073,448,860,463,580,965,009,696,199,503,577,888,352,429,810,735,350,028,
437,305,095,497,560,628,047,947,832,165,178,135,320,916,513,374,450,622,438,
931,584,182,859,358,900,921,003,879,397,540,826,880,080,906,739,607,890,022,
374,698,789,980,864,010,600,195,042,650,866,020,575,404,343,402,254,803,290,
200,325,687,268,828,795,143,075,355,287,046,979,070,575,452,380,888,985,968,
753,745,365,338,057,955,482,877,467,853,579,673,281,463,320,757,637,129,675,
615,641,072,963,819,015,192,816,403,031,099,848,223,069,531,820,761,969,945,
445,460,286,469,652,635,432,400,934,132,429,766,474,999,333,756,294,869,865,
725,038,181,142,143,874,928,642,381,759,580,616,100,211,000,399,785,129,338,
578,881,659,879,125,640,395,349,900,666,452,586,098,919,948,647,602,111,694,
992,072,871,794,435,688,255,830,365,918,075,283,548,526,340,877,863,230,398,
824,717,820,181,012,828,733,289,623,925,374,700,118,535,390,189,314,299,752,
067,792,824,458,768,388,436,110,332,088,220,598,166,585,424,435,746,897,474,
972,310,402,698,764,504,646,334,651,923,710,482,983,141,103,506,054,773,098,
047,173,223,337,749,567,690,688,709,053,879,714,479,442,481,970,491,863,940,
639,062,413,058,023,888,422,325,481,379,740,836,704,902,925,810,423,537,449,
355,902,147,122,539,399,691,869,611,675,734,158,204,700,847,156,234,082,768,
270,293,169,641,103,999,767,814,388,316,978,529,020,433,456,770,529,238,269,
767,567,619,971,834,232,893,479,013,353,711,850,893,227,565,807,872,614,411,
888,523,355,654,012,723,065,026,368,607,438,640,506,038,507,824,006,388,347,
701,461,701,900,965,821,367,997,474,933,648,999,754,513,850,879,669,068,514,
593,228,614,024,318,812,471,483,451,095,157,057,732,265,420,436,456,432,451,
610,785,803,476,765,431,560,211,452,472,802,443,096,488,264,676,469,062,256,
547,868,176,775,725,480,034,252,969,833,415,584,159,725,548,596,936,040,232,
941,401,072,493,507,579,009,334,491,406,230,786,772,854,368,477,994,058,233,
120,524,687,195,967,360,522,558,187,945,582,059,451,615,743,248,701,914,753,
932,404,051,509,242,613,860,303,632,819,884,029,589,866,279,503,515,515,621,
549,669,292,870,896,923,814,616,538,987,687,288,888,272,049,324,816,423,161,
049,098,406,839,637,578,440,662,003,111,650,880,804,605,102,484,431,809,381,
556,677,173,287,771,311,929,734,282,075,568,198,963,991,453,610,441,886,690,
354,738,049,134,098,022,235,462,395,624,973,618,327,690,424,420,270,977,911,
318,314,247,038,418,256,699,311,654,792,031,767,326,398,767,242,710,351,476,
521,135,510,015,104,653,294,389,482,483,093,570,317,820,811,547,764,935,312,
259,269,515,026,988,588,372,572,162,959,622,031,860,576,667,297,156,323,162,
671,803,622,663,599,734,995,133,445,617,281,210,453,136,880,520,017,425,038,
213,239,214,452,104,813,039,147,221,869,205,948,516,627,443,042,148,974,776,
092,036,503,679,921,643,152,962,458,514,632,494,338,051,984,882,189,507,224,
114,196,742,893,383,339,027,849,891,232,178,803,840,075,271,512,097,746,772,
519,670,569,612,296,677,865,197,087,261,588,425,608,755,213,565,837,778,905,
302,882,260,934,456,092,203,188,490,787,764,618,926,696,221,862,251,255,344,
803,635,066,295,304,847,723,801,674,689,711,667,178,484,767,561,720,489,396,
097,019,647,969,459,110,413,934,867,194,198,536,059,741,306,126,764,374,170,
315,585,421,869,943,619,822,042,649,170,788,476,147,668,017,439,504,326,201,
735,781,140,818,421,308,423,250,721,990,558,198,254,715,085,679,993,419,636,
969,178,048,950,850,259,329,780,814,292,615,719,601,808,476,250,478,134,837,
180,424,815,780,583,929,681,453,431,872,650,456,157,553,951,761,274,290,910,
178,105,658,050,467,506,354,392,786,587,524,362,448,139,070,715,396,100,708,
508,268,421,293,614,118,456,866,997,667,967,542,805,870,527,121,077,799,105,
839,292,022,435,526,945,613,068,626,474,723,730,476,561,179,086,335,183,012,
724,584,861,295,299,972,635,446,413,962,329,140,287,401,611,587,237,199,000,
594,482,043,062,920,554,722,377,200,408,510,822,798,697,007,198,183,207,173,
944,266,549,373,144,345,821,982,079,346,915,015,532,663,772,268,970,689,687,
860,595,258,603,788,349,204,836,605,862,481,170,607,288,977,981,234,344,797,
864,912,834,606,621,437,576,283,018,777,449,362,443,219,859,306,076,422,633,
817,844,015,163,720,643,770,717,394,180,445,028,192,113,416,563,913,219,271,
001,328,941,565,999,162,656,123,711,081,490,897,380,469,054,794,787,139,410,
740,832,573,032,094,245,614,567,247,064,329,709,406,639,351,412,734,055,264,
395,193,215,609,396,277,113,233,324,224,428,634,434,822,768,774,784,737,834,
723,865,597,464,645,189,232,005,420,323,645,747,745,762,771,189,148,004,076,
279,821,025,976,127,714,361,486,908,837,217,804,288,370,601,936,628,128,946,
409,461,666,409,069,421,979,413,225,061,532,799,510,581,998,765,760,153,774,
851,015,131,945,302,340,312,324,528,906,480,721,745,949,326,426,253,071,536,
947,157,359,421,631,066,108,085,744,962,738,594,165,394,990,606,372,408,406,
792,485,057,777,347,374,983,169,547,347,190,015,339,695,398,159,867,130,576,
173,109,397,662,358,188,358,114,607,074,222,929,254,020,086,266,150,046,938,
206,985,005,650,718,197,806,967,389,142,358,003,692,261,186,405,451,005,174,
287,005,450,429,191,249,087,888,091,497,799,837,757,607,699,801,902,280,145,
945,338,258,475,122,285,198,096,609,873,874,941,869,505,936,535,065,170,118,
113,370,335,597,136,164,191,462,592,252,801,181,303,020,448,676,475,555,047,
350,068,361,907,529,226,718,542,093,448,856,411,927,213,694,328,349,623,784,
072,822,064,843,933,683,689,563,251,949,352,192,552,293,274,634,677,578,439,
295,300,819,154,811,775,025,039,671,815,012,612,996,625,631,911,417,099,544,
270,880,867,715,671,654,239,122,224,186,992,656,470,716,746,179,151,996,401,
389,217,761,305,706,607,951,655,039,453,547,836,606,658,818,977,704,186,572,
356,610,682,320,115,267,269,601,831,502,023,893,217,241,471,704,924,772,651,
995,226,883,203,082,771,633,342,027,710,040,878,363,704,280,070,146,824,645,
539,494,503,969,720,945,577,898,972,199,826,012,619,459,803,825,818,088,869,
570,405,869,726,586,009,966,620,181,322,467,517,862,848,732,406,853,456,844,
636,359,787,421,302,577,266,581,065,395,912,688,367,133,934,275,794,194,702,
746,046,294,153,558,968,539,512,592,269,744,723,964,764,549,864,886,300,318,
363,611,795,776,199,960,371,319,446,951,723,069,855,106,389,045,871,275,913,
886,449,899,057,154,540,024,125,402,425,530,839,641,422,173,984,494,720,578,
367,121,626,622,783,212,394,722,374,369,216,699,979,072,762,456,262,522,466,
730,884,101,062,830,030,802,325,777,065,730,003,851,711,439,536,464,071,427,
281,906,581,704,646,524,115,769,672,731,311,280,807,001,525,732,269,921,579,
882,701,279,092,295,959,315,738,994,689,030,543,989,558,776,465,136,561,616,
232,221,462,471,581,792,582,432,615,012,842,637,538,889,097,306,648,956,274,
094,989,842,287,628,360,786,425,112,744,047,680,603,844,240,858,722,650,270,
829,410,957,726,218,553,558,992,526,384,244,602,060,072,290,301,018,291,023,
925,727,610,972,336,199,391,398,520,214,737,462,367,948,660,380,173,555,838,
915,233,234,990,680,312,206,661,061,555,151,165,944,768,859,474,815,203,165,
504,733,297,094,069,314,434,049,706,796,699,614,515,274,743,072,709,369,089,
037,007,733,500,429,045,601,047,406,997,136,917,240,349,117,385,076,372,697,
726,460,177,589,026,910,033,187,405,674,046,265,893,531,674,732,118,942,252,
154,262,425,927,533,148,531,157,994,391,320,683,703,357,242,095,194,906,038,
090,674,384,030,139,345,319,387,369,749,826,133,523,978,520,539,841,099,775,
870,953,675,342,616,462,597,617,168,966,921,920,528,549,195,598,353,038,731,
843,987,991,843,251,406,170,378,654,177,275,263,975,644,938,362,022,068,880,
984,387,344,125,207,793,443,272,278,128,851,939,855,512,374,516,123,993,382,
424,355,242,906,038,677,406,193,616,350,573,538,604,829,856,373,437,800,589,
047,688,663,140,842,733,450,673,600,221,038,219,658,375,796,927,182,471,059,
869,106,007,301,060,900,724,249,388,561,660,543,730,964,711,537,701,563,405,
302,277,017,247,036,518,471,063,916,455,372,963,774,152,510,552,155,478,650,
602,621,129,158,394,417,239,369,965,901,073,805,616,050,799,146,611,802,056,
186,462,943,482,359,338,120,682,817,459,698,059,065,279,947,125,581,575,787,
502,082,884,428,499,790,784,722,774,978,223,535,938,580,679,537,516,975,664,
618,957,085,689,651,791,614,649,633,498,949,222,307,327,584,040,688,497,277,
360,750,891,035,106,324,071,640,250,964,314,965,344,547,330,877,141,173,855,
045,257,731,338,770,179,790,558,401,894,183,036,904,239,492,663,411,286,294,
286,675,337,387,781,991,951,585,769,036,222,232,342,651,409,880,204,541,623,
962,394,160,275,082,197,730,297,218,041,880,162,838,039,592,694,574,276,017,
221,966,127,863,944,799,796,768,779,234,173,643,984,903,194,167,947,005,873,
401,785,853,420,672,614,630,519,251,085,496,984,823,652,623,677,067,710,331,
106,920,332,780,494,915,699,848,157,557,748,544,089,626,789,475,130,954,233,
145,953,392,081,304,776,650,665,776,247,565,269,906,208,643,727,884,430,018,
816,288,533,079,817,333,799,147,525,644,392,362,932,028,379,650,349,498,919,
761,818,071,609,342,588,834,771,228,384,001,713,310,211,915,076,113,509,565,
334,236,267,444,955,046,954,721,996,922,605,061,415,191,567,030,559,040,179,
671,082,864,547,987,724,215,068,716,289,096,648,059,072,810,082,769,127,540,
035,280,506,129,985,191,052,225,979,625,134,541,282,754,730,247,855,244,575,
666,558,222,651,667,540,807,653,837,135,588,535,421,492,022,907,001,511,473,
764,552,387,951,201,810,082,751,777,772,312,778,017,326,140,320,740,632,454,
945,085,377,637,737,416,882,093,686,166,727,210,810,034,974,717,408,189,726,
969,878,381,384,707,251,538,434,616,015,330,766,482,868,027,727,849,770,542,
509,409,217,847,330,286,752,548,569,734,493,631,389,238,891,838,074,912,146,
164,712,907,145,857,332,606,131,075,181,450,944,193,329,462,245,704,351,976,
786,866,356,676,262,684,788,157,935,857,562,835,717,796,935,277,168,135,829,
687,931,882,512,542,384,201,819,054,191,526,007,360,848,581,859,163,590,658,
988,594,564,929,429,978,798,704,362,962,505,701,082,773,556,642,103,471,306,
022,371,181,861,415,139,937,834,715,700,531,776,043,499,602,888,061,429,173,
580,559,569,368,913,899,082,526,802,126,715,349,340,766,399,289,757,073,770,
861,981,206,557,317,667,188,588,343,862,278,601,532,434,377,800,245,126,209,
943,485,712,631,396,096,504,090,567,283,265,318,795,762,958,991,568,215,405,
319,076,114,826,279,883,647,885,037,181,981,615,725,535,244,974,125,229,806,
318,751,175,757,072,926,065,939,385,336,617,976,554,995,668,529,864,616,465,
713,409,014,691,974,662,662,963,694,826,589,920,639,590,771,009,968,556,891,
127,387,468,697,147,110,575,415,171,916,795,332,487,246,165,105,834,077,374,
319,488,980,614,869,238,849,605,481,872,416,220,061,031,518,775,402,851,243,
034,410,062,045,166,661,927,742,658,026,212,630,355,574,114,248,160,550,832,
405,163,557,905,689,792,366,140,266,908,081,091,265,537,758,039,500,788,500,
125,865,208,524,637,362,843,897,107,459,490,380,250,867,124,665,715,843,379,
445,462,886,995,652,729,390,051,740,701,976,299,828,706,004,740,592,846,701,
521,624,238,872,250,462,913,603,091,550,975,955,274,205,371,046,474,290,276,
645,816,184,614,043,793,969,836,211,219,456,978,801,265,759,799,122,886,455,
889,649,983,447,172,647,220,226,225,609,198,083,055,610,256,587,577,169,455,
840,660,623,767,122,257,900,682,801,929,297,004,801,394,437,643,461,163,486,
683,767,082,199,757,044,428,349,735,028,682,730,026,234,337,362,878,975,018,
100,973,192,708,677,577,636,780,510,586,598,591,491,115,181,558,708,414,318,
227,114,120,630,270,035,186,866,193,930,214,702,461,106,654,062,100,325,291,
888,040,734,757,791,028,550,097,508,947,818,174,833,691,429,288,636,925,283,
435,642,096,696,671,725,347,115,678,773,924,453,732,085,238,135,552,102,581,
092,702,066,463,408,653,178,559,063,442,490,895,095,467,952,449,595,933,607,
525,716,601,013,480,120,316,935,494,544,660,834,914,518,400,804,684,496,830,
916,640,143,356,172,146,789,981,336,995,379,188,131,771,422,694,281,215,280,
999,512,341,941,812,261,021,764,952,201,704,622,927,225,492,933,975,521,114,
624,805,288,581,288,705,740,543,255,135,647,197,318,928,574,943,242,452,504,
532,766,120,324,699,694,330,975,010,791,148,702,128,179,504,475,466,456,478,
705,809,766,774,913,265,575,701,991,339,597,609,015,200,828,940,027,549,199,
374,225,364,427,134,475,135,558,727,050,432,005,945,492,105,808,877,560,785,
753,113,695,542,721,791,313,072,606,293,746,781,380,430,580,859,589,642,784,
728,738,320,925,750,350,373,281,471,007,420,254,316,207,149,168,076,587,557,
381,215,701,373,383,187,102,039,361,847,151,673,959,720,178,495,106,282,084,
198,933,223,367,329,159,731,001,534,275,478,508,553,581,684,383,552,892,242,
821,310,278,005,086,283,149,002,882,837,495,034,524,728,823,699,601,799,798,
456,693,280,827,594,568,542,826,680,117,888,723,957,829,533,031,940,261,406,
996,269,556,389,985,238,505,475,122,993,798,160,624,596,945,180,338,408,081,
193,148,727,080,482,246,559,521,537,990,662,712,777,804,793,714,025,415,898,
491,643,455,679,625,656,011,485,646,851,394,421,453,054,001,628,834,797,166,
762,892,685,782,634,708,813,872,009,714,422,367,952,394,057,511,938,996,734,
069,141,750,265,146,960,986,463,087,041,876,394,779,500,993,071,685,399,289,
707,202,852,737,866,900,516,785,007,648,640,638,320,131,906,142,822,626,157,
807,444,491,132,683,621,736,204,153,761,240,009,719,136,395,853,845,253,875,
932,962,754,023,557,555,482,536,718,123,165,035,771,198,059,563,618,481,033,
299,470,024,517,420,357,090,355,551,340,682,691,153,511,974,929,261,438,555,
738,915,696,689,708,548,740,040,136,611,894,496,455,943,986,313,302,179,799,
344,657,263,829,144,602,876,767,434,994,529,341,385,059,105,012,130,913,014,
492,787,301,804,326,656,153,400,860,253,670,137,739,160,342,570,516,584,313,
924,125,698,579,891,053,765,762,729,930,934,306,552,760,249,710,672,022,255,
551,881,823,239,459,342,722,963,592,127,817,967,815,693,725,254,247,244,261,
900,204,078,518,904,283,143,159,120,818,273,219,707,238,714,095,105,827,818,
132,555,627,765,340,876,009,528,930,922,750,591,096,107,317,911,292,293,735,
990,218,049,203,430,903,772,680,779,943,815,303,297,523,639,214,026,648,440,
862,324,151,645,712,927,450,720,159,409,342,414,116,537,042,879,260,208,281,
737,038,464,412,042,663,212,273,561,145,576,778,633,585,481,361,033,707,913,
771,451,358,549,135,882,597,058,853,040,386,179,113,853,549,991,004,368,485,
796,202,596,926,490,164,451,725,962,334,674,849,252,144,041,670,002,678,720,
324,477,077,706,889,990,252,495,360,836,127,334,298,912,616,248,738,946,122,
995,975,100,831,440,489,555,721,623,428,136,023,905,084,389,394,319,429,279,
327,406,349,713,263,217,284,651,938,355,156,926,819,344,433,706,754,161,443,
204,283,870,575,814,908,294,550,236,438,328,183,827,739,389,014,288,019,642,
596,005,163,602,607,710,859,758,144,729,912,176,715,770,169,690,045,546,363,
263,227,615,717,766,007,524,258,670,246,607,460,356,274,137,613,860,397,036,
788,693,492,903,430,078,880,229,263,429,970,450,755,232,588,982,939,127,560,
409,351,587,428,394,093,134,204,944,651,130,111,067,756,762,789,334,086,380,
683,978,769,158,107,742,903,758,347,332,153,199,192,825,001,416,969,566,187,
524,223,992,804,370,466,065,258,927,500,543,669,369,369,149,497,036,491,489,
331,357,692,022,689,295,267,725,705,270,903,883,183,704,074,805,428,308,785,
990,523,432,720,797,608,860,460,506,676,311,299,047,862,383,331,759,200,169,
863,226,471,903,782,066,394,829,450,958,424,968,933,376,321,391,050,193,191,
156,529,898,044,086,964,715,104,940,423,311,359,536,496,297,133,529,375,280,
792,516,073,026,609,067,365,265,010,791,082,280,363,612,425,339,741,943,303,
945,248,545,688,450,845,945,975,549,258,338,305,403,793,048,608,728,103,264,
959,148,466,841,907,633,243,337,733,276,432,010,639,714,604,395,578,125,646,
713,328,665,402,548,680,593,208,888,373,095,080,532,302,714,317,087,857,205,
097,409,564,262,443,813,764,904,251,596,539,216,797,208,457,007,270,293,177,
012,645,918,059,292,391,442,982,002,029,209,157,628,468,894,894,792,900,750,
569,584,374,661,502,779,240,304,179,782,578,264,072,873,231,886,122,326,877,
598,599,903,109,547,686,578,628,573,738,977,359,360,910,800,985,458,446,947,
599,474,348,640,718,330,109,010,669,754,311,396,778,216,599,817,469,187,947,
474,606,072,225,727,304,813,837,639,974,368,965,123,794,576,595,791,821,996,
271,815,224,563,796,003,619,035,327,910,805,611,099,773,088,367,092,742,204,
932,420,128,651,315,058,081,112,241,324,896,296,499,334,608,957,552,046,153,
775,472,094,040,019,958,178,718,022,434,203,213,090,171,135,509,415,509,648,
870,846,142,666,643,536,830,137,688,068,276,777,964,617,368,900,261,605,210,
300,831,190,705,762,999,577,936,797,069,776,439,414,496,653,581,538,899,374,
077,144,978,241,379,737,988,138,302,185,550,193,625,562,025,436,215,660,719,
587,862,623,849,659,953,157,604,158,157,691,347,488,635,953,084,385,520,559,
409,068,109,014,650,913,639,685,721,943,222,420,305,916,868,932,374,199,332,
186,537,141,043,427,957,089,434,407,257,051,853,029,893,959,367,601,498,422,
224,477,498,398,757,678,421,539,941,669,584,535,357,234,769,200,582,156,177,
816,785,766,153,262,390,032,724,092,695,504,293,687,573,242,108,876,625,709,
965,335,798,478,531,170,106,782,729,545,913,102,618,382,768,081,404,249,015,
983,530,310,853,553,253,752,120,213,153,678,860,060,782,000,888,603,535,755,
171,412,785,148,017,217,278,467,226,268,221,720,270,306,812,048,697,589,028,
350,992,456,130,747,725,783,346,299,232,327,256,132,374,561,377,179,884,750,
707,553,957,978,535,532,183,144,792,688,498,842,233,215,999,621,464,609,226,
635,353,566,107,680,579,237,524,673,561,488,532,236,816,422,912,714,577,258,
775,385,910,735,494,645,579,725,949,018,123,516,289,536,897,700,933,200,959,
947,207,650,963,725,025,916,486,240,025,187,395,168,994,183,321,125,635,396,
033,561,249,575,463,082,231,381,454,302,051,117,938,493,487,509,750,951,369,
541,873,873,615,660,818,975,185,924,499,541,513,186,786,969,652,285,124,312,
101,265,682,396,330,380,341,171,371,857,891,597,654,411,748,435,767,454,468,
159,719,734,700,489,581,760,781,661,485,191,983,236,967,311,355,907,140,253,
908,319,005,782,873,819,799,669,273,722,348,395,413,897,348,830,735,680,797,
312,107,463,250,182,247,418,992,946,637,957,136,444,722,305,783,596,276,745,
724,398,997,834,870,086,625,689,687,856,724,665,524,189,820,381,031,059,133,
712,263,095,481,272,497,554,679,108,309,434,214,647,161,751,632,124,245,950,
119,239,908,708,538,944,871,484,004,044,316,325,508,265,816,063,037,380,182,
797,717,415,295,015,884,607,310,185,990,122,372,106,503,671,378,853,309,346,
314,532,103,883,763,043,410,849,249,859,967,769,944,338,561,395,040,288,385,
199,925,290,794,697,200,507,615,083,567,044,217,984,324,945,168,109,216,048,
097,812,885,874,816,040,130,749,317,857,727,811,662,058,371,884,644,526,807,
821,804,332,049,373,834,471,624,032,741,146,924,800,346,167,199,247,456,273,
937,981,125,941,169,061,781,032,589,560,085,903,213,163,291,091,471,520,480,
306,833,752,884,970,246,661,320,905,183,159,348,858,800,674,878,627,036,066,
504,933,149,618,348,953,759,180,096,295,259,050,357,597,089,682,589,507,233,
606,286,857,952,135,616,318,220,831,194,977,061,853,295,204,716,275,142,484,
054,078,851,822,473,135,034,793,176,571,324,667,281,850,839,830,318,217,694,
543,236,743,775,494,722,390,529,373,225,115,499,966,123,781,802,593,799,015,
468,410,325,655,825,212,785,324,409,034,938,043,133,066,623,113,313,356,302,
462,625,241,817,408,789,167,645,566,426,869,599,721,418,278,541,421,467,912,
976,707,352,816,182,208,832,890,366,134,663,251,098,957,047,980,334,980,795,
868,062,452,762,068,959,396,439,996,571,359,949,664,164,036,100,320,919,751,
852,497,908,116,377,190,498,106,280,958,272,903,623,204,224,947,022,877,065,
038,260,765,675,851,572,622,223,678,667,205,962,957,008,805,201,922,171,997,
860,740,766,814,227,907,099,070,724,718,567,658,133,896,487,232,270,507,263,
051,105,209,485,349,224,979,955,082,343,060,835,424,372,157,548,748,383,421,
626,261,267,961,938,005,453,398,342,256,324,518,994,831,482,770,836,304,896,
875,116,345,415,294,385,020,139,337,483,423,652,983,430,804,797,906,379,255,
535,207,150,409,904,249,514,321,483,330,118,410,402,952,090,170,292,439,851,
018,164,394,633,034,703,006,932,875,420,108,831,720,247,020,057,042,459,350,
118,020,921,134,473,609,160,279,336,037,351,121,233,667,849,121,337,008,968,
024,307,257,356,865,421,993,109,795,107,326,083,810,168,225,762,134,688,980,
842,379,508,331,363,018,751,337,537,698,112,336,085,879,211,980,875,934,332,
978,647,079,470,235,583,577,460,042,115,023,809,271,621,015,746,249,117,450,
381,325,853,309,277,172,253,111,982,138,771,987,262,606,484,798,257,957,163,
237,963,877,440,999,620,412,695,014,087,228,185,863,212,330,130,915,425,870,
422,651,039,856,650,066,023,693,083,128,908,272,325,950,119,308,730,369,012,
365,039,521,200,089,487,182,067,710,355,829,506,059,474,301,421,313,127,953,
850,035,927,060,431,671,231,781,620,353,537,806,096,784,206,675,491,622,705,
259,450,367,978,897,201,985,701,014,556,949,790,401,271,102,409,363,249,659,
242,903,520,351,584,053,348,625,868,362,911,300,268,616,840,387,093,577,373,
186,845,318,067,679,223,670,718,002,694,814,420,716,297,194,524,227,839,783,
895,492,814,628,766,054,233,586,409,793,624,749,707,751,236,384,347,140,798,
053,831,533,670,650,157,576,196,163,451,353,627,772,231,666,077,091,470,434,
848,314,007,909,539,976,115,468,640,392,851,592,472,714,133,857,099,110,101,
214,283,501,093,253,885,107,812,388,887,461,589,622,609,390,215,223,323,947,
177,389,914,940,565,794,558,017,054,100,871,984,737,596,908,281,278,102,383,
872,456,358,733,195,752,533,862,101,527,762,591,301,710,026,203,682,870,905,
696,220,060,895,772,416,084,750,047,622,067,838,949,671,862,937,011,243,019,
245,221,025,332,770,905,450,089,946,110,916,029,254,147,561,207,416,122,317,
898,934,770,541,460,935,563,179,191,581,153,188,297,074,932,626,037,014,434,
954,637,624,446,283,501,866,274,320,775,542,530,667,550,361,729,364,265,087,
225,527,257,071,642,684,006,742,894,829,094,001,287,491,194,591,670,168,337,
903,488,670,022,821,102,684,465,831,435,454,880,107,151,220,746,390,788,230,
456,519,437,943,190,555,171,485,082,703,606,300,139,049,543,480,021,845,047,
138,753,563,312,043,444,469,102,341,123,436,840,389,074,004,641,996,960,339,
474,030,528,875,412,247,265,803,765,996,969,535,899,896,540,401,230,105,285,
413,943,683,884,542,127,515,914,965,764,535,796,586,218,449,829,307,009,435,
131,465,630,592,928,769,584,396,201,133,166,135,671,347,448,359,150,394,246,
880,028,233,083,486,785,315,156,348,767,502,101,951,060,273,290,446,593,558,
819,847,398,454,739,841,743,482,978,451,796,249,614,954,799,346,616,667,790,
720,232,647,813,091,036,762,366,110,950,579,286,353,227,871,397,313,371,445,
836,339,000,648,276,692,961,403,297,974,172,587,744,645,414,798,050,322,229,
883,010,931,124,357,865,193,472,644,344,338,054,444,415,874,549,243,679,869,
162,625,163,961,461,978,642,395,337,976,153,343,640,813,668,326,445,579,626,
573,841,914,248,437,468,183,695,175,108,680,793,191,540,345,334,009,961,186,
256,240,099,828,917,018,751,816,755,968,480,718,500,628,110,854,586,910,223,
137,092,142,352,864,367,212,712,157,299,798,788,053,255,845,234,781,071,594,
414,223,871,296,239,902,114,309,484,312,672,027,624,173,944,564,904,464,878,
784,675,773,576,627,056,683,179,812,560,926,819,483,540,661,526,116,147,919,
446,240,951,592,284,462,770,558,028,796,617,268,683,122,065,138,683,985,725,
154,744,389,279,432,102,753,724,476,814,316,908,605,481,026,708,969,066,859,
288,830,390,545,858,147,136,096,810,071,432,249,365,352,092,799,414,825,707,
113,983,894,279,634,439,942,615,852,637,564,606,606,383,932,492,355,008,568,
041,817,203,842,627,545,616,185,934,783,807,979,323,797,862,929,839,391,736,
167,930,268,398,849,782,967,759,094,927,463,156,141,260,453,677,448,419,131,
022,915,762,132,204,865,095,325,041,466,318,776,892,772,022,648,099,402,902,
463,041,134,672,448,319,724,804,363,005,823,851,052,743,231,475,121,847,675,
699,254,339,404,875,025,273,722,752,084,093,403,199,430,485,165,335,561,898,
297,090,798,286,420,962,775,239,061,896,990,877,074,795,187,517,888,724,108,
180,056,108,347,829,885,305,412,246,510,702,118,776,628,532,772,686,739,129,
883,109,165,657,517,401,616,925,079,670,298,872,675,537,559,648,501,783,627,
834,720,664,419,094,508,406,981,975,767,748,162,811,121,222,098,664,013,980,
312,230,364,673,285,248,200,416,129,054,919,915,751,859,801,856,946,231,766,
937,158,924,043,952,706,730,827,668,269,457,174,317,679,974,473,191,342,420,
857,057,177,874,953,623,047,475,399,409,389,024,863,276,724,653,240,720,769,
912,380,334,720,147,704,985,014,756,687,066,757,892,209,915,642,771,605,514,
432,570,187,679,237,359,004,785,171,364,997,229,009,597,128,830,981,272,500,
148,560,330,877,435,682,549,832,362,475,626,032,035,751,874,432,959,631,484,
418,648,652,757,754,256,589,586,546,017,817,484,118,662,532,474,556,509,653,
502,634,471,676,491,984,494,894,179,095,244,622,379,215,433,490,811,572,433,
118,858,883,057,265,862,580,032,430,228,819,202,459,223,898,210,638,385,093,
396,094,453,022,458,075,047,569,460,551,122,268,718,322,373,402,064,293,016,
068,454,279,468,773,815,307,997,248,543,376,025,822,078,634,465,421,466,789,
340,563,103,367,822,981,597,835,009,239,614,751,656,886,511,706,643,896,959,
398,357,968,043,714,366,317,059,345,014,516,359,999,332,956,924,198,221,786,
697,574,558,029,783,329,137,906,864,131,834,291,539,843,947,463,615,449,439,
776,819,175,804,843,363,892,618,847,938,951,324,256,733,398,577,301,415,031,
566,978,407,901,318,760,835,243,427,079,239,279,814,470,240,893,278,668,865,
868,386,203,915,808,923,455,445,914,927,305,453,983,334,520,422,607,066,751,
824,727,323,867,389,040,509,319,487,843,123,313,841,748,912,136,371,066,371,
138,060,304,521,078,170,819,473,171,073,346,701,896,922,424,637,318,491,680,
725,460,304,826,096,826,453,275,918,866,664,673,210,904,076,108,251,722,711,
862,916,677,969,538,960,602,192,367,169,029,421,770,274,063,107,200,468,501,
315,345,284,828,969,351,352,465,713,586,438,350,744,788,559,325,900,491,923,
216,542,871,002,998,202,790,901,727,739,520,900,892,300,127,269,383,910,781,
847,009,523,389,755,726,879,212,361,475,185,276,569,500,108,435,861,826,543,
424,876,498,913,832,578,865,689,723,513,507,434,972,957,107,788,581,652,718,
485,436,559,587,226,759,369,265,471,612,901,578,308,928,363,915,933,591,246,
918,266,171,194,509,765,528,811,491,119,562,112,422,149,235,848,187,223,443,
500,036,305,751,988,365,433,897,071,780,071,379,027,413,908,117,072,035,808,
780,055,414,485,327,311,965,946,385,302,330,557,298,159,567,094,086,655,455,
999,866,429,123,451,356,285,979,614,171,559,870,583,191,150,995,626,605,791,
907,259,431,566,238,515,734,326,046,935,004,817,604,007,931,091,682,751,268,
272,218,091,591,731,506,717,180,568,885,373,648,644,276,802,460,660,377,958,
872,224,454,274,475,634,288,676,951,660,207,009,042,952,818,719,338,040,848,
822,479,373,147,802,766,240,574,367,857,575,460,060,956,002,015,300,954,888,
219,080,769,976,365,337,375,297,633,956,643,565,160,448,166,068,185,169,363,
194,105,829,306,715,094,206,420,651,737,061,543,812,897,507,135,120,288,479,
135,989,314,516,686,628,726,508,868,343,458,228,263,722,609,807,717,446,221,
050,662,817,735,830,141,740,823,920,913,674,488,121,869,708,133,058,237,126,
053,159,723,998,400,522,090,901,941,832,598,377,646,643,674,442,771,026,681,
689,942,232,200,455,233,819,889,287,156,650,266,537,429,780,399,584,393,088,
026,211,677,241,385,395,911,799,576,637,478,940,061,976,769,375,455,459,087,
699,881,821,129,823,284,664,272,787,442,769,564,442,425,029,367,508,098,782,
459,719,784,799,928,192,754,736,306,809,342,013,186,418,383,158,740,350,527,
113,004,113,248,426,305,222,165,497,903,429,683,349,248,484,468,551,708,280,
337,335,308,341,411,841,406,418,587,150,866,929,270,146,230,310,942,780,317,
510,580,807,651,372,597,942,064,837,277,056,416,634,955,124,459,987,494,370,
467,402,588,169,506,135,310,410,033,180,176,297,776,601,709,659,607,369,020,
930,123,731,745,375,699,362,049,682,512,003,288,220,250,764,529,744,882,918,
925,100,899,744,276,430,791,957,946,222,090,532,018,687,056,015,568,957,804,
640,355,861,684,094,395,818,263,561,681,617,555,435,509,566,050,361,983,346,
614,263,872,311,808,756,400,092,890,458,116,391,938,068,075,128,693,673,744,
374,931,446,278,830,518,624,588,380,094,057,778,135,120,487,795,437,180,388,
703,784,036,336,260,736,347,797,615,600,715,701,499,154,554,985,089,345,800,
260,839,282,283,013,157,229,247,379,341,921,640,194,086,419,547,002,846,731,
411,969,706,004,498,907,734,294,938,231,792,390,559,941,764,333,759,624,642,
176,374,467,932,273,946,545,790,883,807,487,930,200,957,791,842,784,891,764,
616,511,012,997,445,767,015,410,110,697,035,101,866,240,485,976,335,117,213,
543,498,537,936,788,463,189,931,465,370,399,827,792,825,293,383,458,415,769,
378,729,605,535,848,036,805,237,867,733,936,039,630,169,644,124,081,141,774,
918,358,155,344,600,836,108,400,827,313,842,857,297,359,179,829,265,850,885,
641,191,666,004,378,967,080,376,630,887,210,582,859,624,500,743,877,752,635,
956,308,548,632,636,090,556,876,353,383,703,614,876,224,002,589,266,102,824,
090,712,693,567,281,149,591,445,433,162,055,127,212,613,715,600,561,251,231,
848,828,610,855,316,520,582,255,513,533,576,714,988,681,422,130,696,428,266,
030,477,259,983,543,441,700,381,977,856,989,405,935,831,302,494,879,801,590,
877,003,854,959,744,952,112,260,709,592,430,747,698,142,161,608,697,080,628,
572,965,667,138,960,943,114,558,432,554,177,307,154,962,745,019,604,740,361,
399,619,160,760,615,808,093,342,507,042,029,135,004,865,299,459,242,240,132,
098,101,714,467,114,209,072,504,048,511,718,889,413,054,609,194,579,695,471,
319,450,019,974,119,716,231,706,239,507,062,626,468,858,540,905,649,071,462,
154,277,162,706,453,349,542,439,370,310,179,778,483,488,921,875,003,354,604,
263,867,229,631,687,443,557,391,067,170,203,863,958,399,315,592,372,978,449,
295,474,479,425,150,511,250,032,011,975,057,334,430,669,301,063,012,082,468,
543,464,060,323,293,649,744,565,947,207,022,454,853,475,852,666,836,729,350,
708,985,134,034,254,490,401,302,859,177,318,602,846,754,194,711,189,700,288,
154,904,622,842,399,283,846,903,872,864,225,999,110,270,888,104,903,033,354,
938,048,517,024,173,804,546,782,418,241,857,131,916,915,950,332,092,640,082,
076,718,534,933,722,885,153,530,112,671,763,667,735,699,217,715,735,245,353,
246,827,289,189,326,829,546,382,342,850,706,370,862,705,020,418,516,490,310,
473,382,391,015,447,662,452,385,221,403,384,274,762,502,613,480,773,948,127,
562,094,944,070,387,967,456,477,792,407,444,501,527,707,765,150,784,315,285,
653,326,100,353,418,618,056,147,551,331,002,049,548,129,093,259,039,867,499,
102,634,433,448,579,271,072,337,591,523,970,203,820,785,290,371,372,652,363,
350,699,196,774,864,418,223,314,936,480,257,790,583,405,828,589,744,897,306,
762,064,557,503,118,051,436,499,823,584,491,411,830,607,189,131,826,507,484,
429,572,019,114,311,186,393,034,382,144,816,706,417,037,848,046,088,612,420,
638,029,443,671,081,095,396,878,862,759,761,640,067,734,441,288,559,626,918,
601,125,142,484,524,620,727,503,891,083,115,882,073,534,719,293,778,610,899,
387,162,622,176,144,071,459,301,439,767,967,861,208,125,471,782,800,882,335,
805,112,132,297,042,409,464,760,501,083,290,219,709,883,746,489,190,161,603,
588,399,427,239,783,077,775,685,383,569,177,679,600,149,721,684,062,708,600,
952,378,320,712,792,116,166,903,039,271,305,367,866,429,237,694,684,157,136,
361,557,138,931,280,256,798,095,457,286,989,377,286,608,816,093,556,169,785,
435,420,599,406,675,258,537,852,871,979,715,764,959,713,806,617,026,739,800,
491,585,278,726,831,511,283,610,537,587,988,699,867,025,613,125,982,337,186,
053,106,360,511,441,114,727,396,401,594,696,103,490,117,866,027,991,961,877,
928,871,820,147,745,061,080,878,633,253,831,842,276,606,832,081,006,431,613,
585,651,603,414,405,866,693,843,652,515,505,824,794,376,786,108,232,995,734,
296,102,751,386,475,530,102,802,586,705,092,278,878,507,080,103,944,405,267,
096,401,771,322,444,302,840,050,748,093,238,814,584,517,014,967,254,516,604,
021,256,387,769,699,367,526,838,879,225,264,417,680,622,988,287,456,138,482,
588,804,963,526,403,122,792,085,081,355,652,899,131,480,374,537,934,691,720,
066,892,123,473,020,754,448,537,880,324,036,682,164,411,515,556,919,181,567,
233,482,807,021,989,658,326,196,326,754,113,731,442,869,414,557,773,849,458,
287,509,194,336,112,514,196,535,088,478,437,323,518,954,815,680,611,075,050,
129,128,998,074,073,866,015,107,251,420,394,490,012,706,842,194,263,911,891,
103,195,229,117,170,603,338,386,655,605,173,993,061,865,761,779,131,374,304,
086,948,429,215,040,188,411,708,733,527,647,861,008,993,010,335,074,139,226,
026,661,368,986,456,397,611,986,003,228,737,330,417,423,213,417,413,667,636,
347,585,500,511,533,633,875,046,378,608,945,713,731,069,203,375,164,974,524,
355,566,117,964,044,226,965,257,243,066,838,212,787,926,473,028,195,492,352,
752,074,936,722,126,977,000,864,959,358,829,496,991,721,147,616,612,009,877,
403,782,593,739,925,736,125,036,781,948,616,010,877,473,428,464,809,583,238,
664,463,229,419,253,243,917,213,152,206,152,288,636,586,693,482,869,348,635,
508,627,030,944,440,324,156,752,882,751,396,041,412,189,232,148,053,549,891,
795,823,750,637,607,598,468,029,920,157,166,521,016,695,289,421,383,224,633,
345,170,464,412,418,791,593,068,993,370,513,569,324,119,035,131,132,200,547,
271,156,508,101,330,154,714,338,269,964,730,278,413,970,109,709,685,170,768,
896,249,399,978,677,984,106,546,205,179,913,568,807,805,298,495,130,095,889,
423,539,117,920,578,123,562,245,544,630,547,751,821,991,477,872,689,902,511,
100,101,055,428,744,698,449,332,238,795,457,178,208,832,348,500,948,705,608,
938,912,912,620,769,354,260,636,964,726,401,601,625,909,738,800,326,085,224,
803,883,217,293,928,051,007,293,968,005,895,948,710,206,517,921,948,741,206,
073,605,691,327,750,247,613,833,973,716,429,639,561,701,146,001,432,450,933,
583,108,280,723,166,127,956,247,510,614,366,383,912,369,465,717,155,740,386,
942,918,251,623,414,642,067,110,957,618,752,814,365,391,664,271,122,920,580,
428,295,044,753,748,925,165,226,881,937,641,959,051,267,929,054,291,400,314,
857,357,651,479,054,018,623,330,057,117,026,310,369,243,247,597,564,447,428,
566,189,304,616,327,344,695,663,720,096,082,370,231,358,302,213,096,550,845,
363,684,283,240,127,428,058,348,385,915,658,640,256,147,222,017,337,260,871,
568,257,051,591,976,561,766,511,670,692,151,100,961,472,729,832,891,837,098,
453,692,057,151,705,423,131,713,413,696,584,039,562,048,306,515,503,051,370,
990,706,015,661,749,331,018,716,797,658,579,764,865,673,655,929,559,159,007,
694,394,519,401,031,171,405,571,397,437,248,378,398,597,710,528,799,825,033,
800,874,905,255,013,829,878,282,136,329,785,924,839,352,820,223,110,126,889,
261,391,140,308,903,037,875,945,513,108,696,070,926,611,506,729,204,092,480,
923,586,422,701,795,981,151,524,436,625,962,847,385,913,444,782,056,352,612,
111,606,907,811,270,894,281,465,538,101,615,868,739,110,445,689,629,535,103,
402,456,337,930,603,747,698,902,377,983,344,795,314,007,660,510,738,246,074,
162,668,218,256,667,558,733,488,007,259,446,699,755,770,483,852,724,404,133,
411,733,518,607,676,954,858,950,075,906,776,198,777,341,135,019,407,507,752,
347,977,062,433,115,318,129,043,716,186,764,418,901,082,288,267,252,343,560,
889,150,863,566,180,613,805,985,133,282,976,499,483,543,437,265,817,679,691,
254,932,858,454,610,094,849,326,618,420,351,227,802,444,479,264,813,532,169,
984,068,651,034,001,013,265,187,512,985,410,853,484,775,890,734,783,288,641,
295,623,801,410,208,869,291,265,215,691,693,765,569,406,195,461,991,455,259,
538,824,314,936,841,675,594,315,284,256,106,735,835,932,416,126,378,923,051,
000,532,198,647,529,385,290,186,860,081,553,214,317,683,197,823,417,033,480,
282,432,243,951,413,738,317,122,956,402,601,414,129,343,308,401,923,595,061,
461,969,990,749,886,489,496,546,602,399,383,467,265,831,198,756,584,284,158,
352,449,675,214,005,607,941,265,611,523,061,925,652,823,462,081,289,935,210,
543,346,450,838,837,550,206,543,423,012,642,197,586,688,227,339,194,945,912,
036,863,669,814,606,067,959,510,038,802,373,826,516,132,710,246,759,911,697,
258,091,643,330,567,880,151,091,136,100,615,902,475,998,745,885,140,829,531,
246,577,532,541,706,337,042,147,843,850,159,184,485,345,148,989,040,448,524,
378,445,653,847,692,000,150,626,307,753,354,466,605,631,517,938,832,584,277,
196,527,037,870,851,596,101,706,687,153,033,068,529,047,591,674,112,005,131,
529,293,705,224,181,837,323,534,938,822,600,866,805,920,952,253,931,750,536,
190,974,399,456,816,508,605,981,319,276,006,558,874,932,664,500,744,017,638,
717,830,925,428,371,470,647,002,719,249,264,576,832,895,817,831,935,580,310,
961,926,809,151,226,678,348,840,531,544,661,375,088,369,571,482,340,469,142,
768,933,621,757,878,838,416,698,773,477,002,845,814,020,150,117,337,945,403,
599,587,244,455,429,133,094,664,730,099,382,940,775,654,662,652,777,668,901,
107,289,540,093,826,086,564,415,936,059,412,036,094,977,189,291,476,319,142,
710,794,392,062,256,977,518,137,634,855,611,143,395,607,394,827,092,567,021,
918,343,916,733,316,049,599,075,963,996,740,872,055,481,724,869,596,084,437,
298,822,674,510,870,435,822,987,651,666,856,204,557,300,303,173,906,455,466,
995,601,308,310,975,098,302,801,119,126,669,743,970,854,405,925,495,927,504,
778,763,657,491,807,004,896,490,048,086,612,069,177,453,949,931,434,723,148,
929,775,173,352,493,100,987,108,370,144,769,523,705,585,425,297,473,206,430,
114,331,254,483,203,107,087,779,842,557,979,345,609,374,085,656,371,783,653,
670,832,657,255,558,464,219,677,396,136,218,496,331,695,260,173,040,834,042,
799,282,411,916,185,675,861,614,983,749,539,179,130,802,404,915,566,434,102,
959,228,597,135,400,048,722,716,133,263,828,554,445,514,117,934,822,746,612,
101,376,623,632,672,582,393,589,856,554,192,310,577,140,531,046,945,427,204,
489,657,718,398,508,698,748,772,719,787,791,592,960,139,866,181,356,668,189,
115,022,843,802,871,130,970,901,874,431,186,374,511,525,430,746,489,388,716,
636,768,171,429,963,850,237,399,347,069,069,272,863,998,325,412,418,671,286,
665,758,685,300,778,752,916,258,180,179,343,843,257,035,685,540,199,330,112,
640,362,780,053,820,550,287,792,144,339,076,603,725,891,738,510,243,030,487,
753,517,379,488,179,093,451,149,320,227,499,398,868,220,819,649,600,770,657,
122,148,794,577,769,422,010,544,566,183,187,203,280,101,290,980,333,471,394,
348,606,729,727,070,065,561,119,131,013,660,176,910,118,013,750,695,989,560,
034,348,702,628,106,467,796,594,804,396,598,338,326,091,627,893,533,965,017,
079,877,391,246,294,363,307,947,366,223,220,814,576,459,263,828,523,965,730,
729,142,939,462,393,027,769,673,944,736,599,613,315,094,002,795,925,465,813,
808,094,887,864,380,140,612,386,079,512,631,956,804,275,183,161,259,333,021,
280,458,883,757,358,443,720,938,495,176,589,570,194,856,046,535,857,226,934,
357,679,866,358,263,367,139,407,375,577,424,579,682,242,497,802,823,108,426,
705,968,248,101,050,123,754,853,429,848,338,895,685,104,849,326,890,058,611,
411,368,165,800,677,909,926,177,595,202,459,351,090,182,844,142,442,876,737,
379,672,410,398,479,647,177,887,719,667,003,831,080,048,870,381,121,578,141,
314,828,444,030,624,524,119,738,127,323,879,685,440,396,353,087,730,970,097,
632,156,943,051,094,466,585,474,262,607,720,034,438,209,341,946,161,646,384,
642,232,917,363,393,424,550,011,749,379,614,306,562,785,562,934,692,940,790,
837,543,968,002,290,463,410,960,831,833,046,218,253,844,371,840,768,080,403,
394,159,478,446,588,157,210,289,130,668,705,905,174,306,355,525,799,876,051,
164,160,019,998,258,543,684,107,777,138,319,680,027,803,805,412,462,973,627,
098,200,631,377,346,377,377,346,556,848,457,068,228,493,413,026,962,378,494,
481,933,889,078,117,999,512,425,817,925,669,658,615,583,656,784,604,000,070,
379,262,071,986,754,517,650,606,157,840,783,578,066,459,986,404,331,879,162,
408,419,247,360,898,772,911,193,285,986,381,325,276,248,879,392,860,698,306,
973,416,809,511,452,627,823,320,953,583,071,349,287,314,859,050,978,428,967,
387,627,149,870,523,400,282,890,287,807,500,126,923,154,024,322,046,894,942,
622,268,910,680,355,272,767,399,004,936,517,625,329,533,906,116,706,806,819,
430,211,314,187,727,309,138,163,670,552,483,996,386,164,858,313,187,331,800,
933,851,958,376,841,232,150,573,599,059,138,478,691,110,179,515,686,250,541,
173,459,271,111,622,090,367,698,609,136,308,914,584,971,903,418,769,162,771,
238,628,855,081,830,311,248,529,845,185,801,597,995,122,297,691,010,266,963,
107,353,145,243,567,709,613,649,917,555,243,606,458,389,652,623,187,170,684,
447,161,517,466,877,607,216,883,079,027,185,269,420,702,628,322,637,693,226,
914,657,049,112,823,275,217,393,983,480,535,901,516,495,211,114,083,372,068,
276,219,328,913,696,950,388,615,380,036,671,646,217,316,127,791,414,062,799,
696,530,966,579,334,671,486,358,278,234,472,895,238,061,704,676,742,642,268,
328,425,065,841,637,321,157,468,925,685,052,018,138,732,335,401,482,402,127,
345,338,347,337,407,846,892,524,745,973,959,685,667,493,878,570,018,551,473,
116,206,630,708,776,454,004,344,753,861,408,628,380,655,159,952,219,219,815,
546,173,964,348,638,702,884,673,327,821,748,766,193,929,325,669,793,423,608,
778,141,499,759,420,668,192,686,167,493,839,677,244,837,976,660,720,490,523,
526,446,751,929,504,229,540,505,932,554,847,990,772,106,150,235,941,267,786,
230,601,224,235,948,166,069,056,962,330,174,282,032,892,493,158,655,128,761,
195,080,015,792,350,305,302,098,930,158,990,462,267,697,188,588,778,732,179,
500,232,439,504,871,926,942,235,888,547,786,830,720,088,849,806,635,035,286,
506,829,939,375,418,546,458,806,880,574,293,960,074,500,136,371,833,593,222,
279,119,090,240,582,761,338,054,060,657,560,546,695,956,217,704,089,617,552,
030,683,771,606,502,911,954,405,155,227,812,335,612,627,629,211,575,239,579,
027,926,270,660,251,754,807,535,654,736,770,694,814,949,107,047,826,700,328,
958,570,797,486,035,298,083,602,074,765,360,595,257,016,267,771,652,781,219,
281,804,859,082,616,134,878,220,855,347,283,561,307,112,115,587,663,193,214,
656,618,247,918,921,020,388,570,608,626,831,111,670,072,225,817,263,200,485,
854,531,704,731,499,739,099,407,608,397,524,877,262,689,692,726,978,639,489,
796,313,185,116,982,963,595,467,863,424,468,084,003,653,673,770,538,677,222,
250,822,179,886,947,728,900,495,501,510,930,035,107,988,407,045,132,824,616,
526,307,024,335,761,904,760,747,192,732,583,450,659,548,949,972,367,366,827,
034,542,973,858,344,173,833,659,929,272,492,320,468,334,936,013,425,367,442,
906,167,527,652,320,361,611,295,843,247,319,348,830,458,828,565,804,789,104,
758,173,447,186,995,185,028,250,427,858,341,715,250,766,105,946,542,728,873,
101,030,503,156,700,037,755,748,621,105,031,699,341,830,951,501,442,640,135,
581,788,219,670,493,478,279,543,547,600,802,039,207,467,918,102,963,016,453,
850,411,096,925,372,641,345,845,434,634,793,150,409,042,694,675,924,535,418,
296,789,219,423,063,237,262,731,720,292,416,029,504,131,266,154,603,462,504,
312,783,890,963,439,725,840,124,766,362,518,104,746,120,109,504,604,456,455,
870,137,287,866,252,877,263,145,881,783,882,824,353,115,259,811,648,020,722,
895,358,394,329,011,526,462,944,765,024,562,567,201,735,450,065,083,691,514,
305,767,208,135,611,725,309,236,886,081,231,981,823,754,828,001,621,876,004,
809,587,283,993,704,563,761,832,888,838,768,955,100,031,796,540,987,014,065,
962,472,009,379,995,403,989,331,066,870,419,093,191,905,322,449,048,418,822,
542,543,835,588,663,978,055,506,707,577,372,979,301,481,895,279,166,937,579,
640,178,811,146,131,716,105,326,423,033,726,674,535,365,068,488,086,201,259,
629,037,336,027,964,232,181,798,604,888,759,653,832,689,942,238,990,275,982,
391,049,138,836,677,763,619,909,162,898,554,913,774,047,067,549,360,477,869,
886,128,967,820,236,715,097,150,907,282,591,723,333,946,025,445,680,991,464,
342,626,888,018,008,752,936,688,165,558,351,686,315,567,654,083,102,180,588,
924,753,573,962,124,534,961,030,430,012,373,688,742,634,642,461,671,803,192,
506,469,895,602,334,636,531,409,056,406,413,721,129,281,602,033,357,260,207,
861,641,699,257,129,906,286,823,690,680,389,989,872,889,152,294,598,754,306,
175,824,695,311,073,464,055,301,408,544,131,183,054,533,259,867,827,489,598,
736,346,291,889,896,928,528,719,571,173,841,816,152,309,027,637,105,688,144,
551,600,537,025,086,997,060,394,902,233,835,185,714,120,140,879,752,005,581,
402,444,987,908,059,131,842,346,355,715,135,655,304,954,558,677,172,658,090,
857,203,093,854,820,668,096,696,132,137,413,866,498,315,543,958,920,799,814,
991,006,917,562,719,557,329,376,502,248,768,423,619,565,233,162,816,060,475,
108,331,526,874,636,971,200,653,515,304,879,126,309,147,929,372,540,790,723,
310,107,786,890,936,332,752,689,490,061,900,015,195,657,712,147,744,378,182,
669,631,870,052,102,454,809,992,095,371,008,661,676,057,977,912,913,233,097,
950,882,809,715,743,151,632,854,967,164,608,587,394,690,873,746,497,768,251,
695,751,545,644,346,453,568,250,552,506,850,994,676,753,969,922,301,952,508,
394,777,250,479,470,892,122,352,260,037,233,412,395,352,933,038,112,392,850,
567,315,134,912,056,613,786,665,986,056,214,781,546,927,706,469,339,883,702,
929,773,946,172,545,114,583,966,269,016,782,097,526,037,009,453,526,476,880,
887,625,462,775,893,273,746,664,069,457,622,921,244,615,327,715,201,375,513,
596,461,661,468,638,782,993,408,084,772,315,577,844,519,735,430,417,877,871,
872,644,704,352,683,140,968,133,890,767,447,495,586,595,002,003,098,768,235,
283,568,995,766,749,922,273,585,659,606,038,878,491,747,020,350,735,104,386,
466,139,277,090,262,009,662,505,536,275,702,611,978,824,542,207,309,354,016,
878,180,165,005,682,655,715,122,942,922,412,144,051,329,952,008,463,696,281,
005,929,406,229,570,460,893,011,807,828,423,701,930,346,320,344,511,051,569,
629,563,771,203,412,096,079,766,986,999,143,529,737,001,629,312,989,803,453,
767,099,675,106,826,175,647,821,116,485,105,806,020,665,720,499,508,735,912,
001,875,734,601,519,542,916,328,088,881,568,225,372,874,374,570,308,466,679,
074,037,743,261,131,952,347,252,832,867,202,985,703,436,257,672,134,654,067,
863,265,191,244,797,546,130,939,845,537,997,165,909,618,350,881,450,782,686,
842,906,386,016,550,622,681,272,236,361,975,840,164,386,788,679,362,545,957,
921,948,765,273,784,330,083,976,286,622,806,453,522,872,965,153,071,347,120,
393,797,908,612,938,488,058,306,038,909,878,017,189,863,442,021,824,249,995,
991,837,612,207,836,378,996,495,434,352,939,982,359,635,876,057,289,866,341,
449,324,629,291,446,160,093,312,871,912,596,315,527,191,552,921,341,217,321,
797,552,940,906,905,257,958,333,199,725,452,832,696,286,213,666,217,299,842,
143,246,556,817,252,164,938,259,134,253,884,557,235,576,773,741,219,924,357,
668,280,258,495,450,136,695,808,918,883,143,851,647,837,582,096,704,227,732,
831,745,299,708,175,257,818,592,175,811,030,057,928,236,599,828,800,654,470,
513,861,500,636,109,341,067,705,221,017,485,153,196,986,850,289,427,889,863,
119,343,223,313,507,101,932,340,539,076,979,707,409,013,422,297,221,406,551,
226,604,977,967,938,279,598,502,431,400,656,138,064,435,420,361,541,764,955,
201,425,438,606,759,382,337,879,292,618,532,280,053,020,277,486,761,901,763,
718,924,689,636,636,451,194,449,561,301,894,474,998,525,889,299,691,049,055,
087,412,518,832,155,752,982,994,747,362,978,823,596,001,865,002,205,703,128,
125,970,567,183,734,175,801,461,833,180,393,840,310,331,757,253,178,122,721,
279,788,075,842,403,004,514,426,987,978,854,683,456,709,897,497,761,336,886,
329,336,710,320,380,918,222,624,294,572,814,153,697,682,725,443,419,408,799,
503,282,646,911,623,029,000,651,449,253,390,800,055,978,269,358,545,889,954,
469,413,546,760,459,182,087,123,230,603,373,418,093,387,814,149,908,184,552,
103,641,839,475,741,383,825,273,753,362,480,366,830,410,951,303,947,759,631,
651,165,908,161,008,445,348,977,902,306,907,022,407,262,123,999,390,910,012,
578,976,944,840,592,354,365,496,855,158,025,530,588,185,552,934,815,384,307,
055,819,294,358,139,551,906,301,058,589,467,766,037,177,435,457,647,124,189,
758,747,539,101,028,549,284,564,775,121,681,000,926,510,848,092,381,125,542,
852,169,938,410,869,999,344,535,615,836,157,216,300,707,489,034,346,196,216,
326,766,559,431,016,886,501,723,619,393,218,671,270,365,383,648,904,040,579,
314,121,046,979,917,418,045,316,101,948,270,855,178,867,442,696,886,330,980,
740,647,839,551,985,141,445,555,226,719,658,464,038,233,824,672,586,315,234,
446,046,170,850,064,615,489,115,522,474,594,661,528,653,646,121,428,899,757,
512,168,437,202,841,525,611,646,783,602,392,907,040,854,072,033,438,805,059,
170,860,241,171,574,727,576,644,469,449,517,980,834,131,929,132,831,968,980,
485,528,272,369,703,458,371,399,574,886,308,007,516,951,000,315,723,219,960,
376,647,027,595,528,072,700,818,737,638,905,220,820,976,609,315,831,630,962,
939,479,615,007,321,241,126,126,311,716,779,626,906,640,346,341,921,662,848,
518,659,993,079,430,860,532,969,355,846,719,123,907,546,955,037,240,560,249,
701,728,892,104,396,593,437,940,358,226,173,805,358,470,833,403,804,418,740,
904,164,857,596,629,259,187,167,134,110,656,405,155,676,667,931,748,799,901,
212,295,230,685,718,327,960,092,782,359,838,508,279,213,040,526,734,699,967,
952,790,013,659,224,697,260,762,103,497,000,012,484,661,779,807,782,490,454,
139,030,305,832,484,310,206,976,433,840,450,069,928,834,336,588,506,447,550,
088,173,109,444,908,108,170,979,865,996,591,359,551,779,784,392,778,664,903,
433,280,037,094,584,481,168,830,865,249,458,649,128,204,626,666,838,494,726,
892,735,761,412,851,018,840,733,026,049,945,748,177,164,807,062,028,271,105,
297,135,228,702,778,459,885,739,716,433,301,433,152,132,355,430,224,921,035,
757,714,506,902,967,938,157,998,813,386,752,406,790,103,984,070,858,383,363,
510,601,852,390,656,432,667,262,503,573,617,440,805,264,015,717,627,575,597,
673,193,408,848,203,161,302,522,294,089,217,719,910,160,623,261,839,775,115,
892,816,214,331,096,160,107,122,984,148,255,704,044,003,305,548,199,232,417,
088,711,751,388,884,895,758,798,983,157,823,259,076,806,446,273,661,696,995,
186,917,638,779,694,303,553,378,048,673,062,712,527,037,741,591,663,370,818,
006,976,683,431,171,575,160,505,381,176,149,918,601,749,423,881,687,194,466,
459,577,795,173,628,614,159,954,939,057,054,731,816,693,893,247,812,157,646,
402,352,009,827,539,693,005,234,683,013,704,389,360,072,087,124,910,728,801,
140,966,366,470,001,989,772,094,535,296,397,901,831,239,679,154,897,407,926,
762,768,263,223,662,527,909,737,200,149,872,309,983,282,412,891,801,833,009,
078,045,983,757,941,296,002,954,418,556,550,118,611,759,131,875,599,935,711,
756,251,201,529,203,707,288,693,150,555,143,917,266,162,464,034,380,625,002,
299,202,782,065,742,991,168,640,619,150,048,252,661,315,836,062,301,135,678,
168,506,838,256,942,583,209,455,078,810,587,687,086,195,059,902,606,582,347,
674,232,575,589,636,990,792,940,798,419,307,707,041,347,628,408,889,879,480,
526,931,361,870,162,627,834,261,921,638,913,339,442,424,202,993,151,737,035,
188,625,401,862,850,056,127,300,562,454,704,558,548,698,018,432,618,664,789,
320,923,843,871,377,637,371,120,160,217,617,887,209,611,647,263,130,283,404,
684,635,135,581,154,362,744,659,500,370,845,194,039,098,436,263,297,770,741,
554,420,328,752,260,136,456,424,949,036,239,460,233,970,485,922,271,958,995,
576,290,617,054,157,839,819,027,985,268,459,249,975,942,309,614,959,645,563,
620,535,604,425,870,550,839,226,070,619,545,135,645,654,516,798,663,830,926,
336,939,714,294,098,413,694,877,566,441,820,116,116,578,807,783,321,025,848,
998,145,378,612,714,809,485,300,017,959,583,893,416,101,391,397,371,979,679,
492,807,795,179,381,285,519,048,769,061,440,770,712,824,533,682,784,185,325,
199,321,784,919,815,539,718,093,020,380,368,782,845,412,020,478,074,123,191,
883,128,876,081,036,580,055,030,989,293,706,577,188,062,901,692,071,600,921,
107,877,913,137,513,693,983,411,349,610,014,766,018,236,772,621,847,953,814,
680,865,813,232,296,400,810,134,874,762,763,556,143,913,635,145,314,909,612,
166,567,988,575,957,929,927,464,687,368,773,468,447,456,676,529,224,922,830,
475,118,660,579,971,422,948,720,981,268,953,142,057,074,859,451,673,997,332,
896,267,535,717,833,986,131,815,671,676,032,270,692,627,792,783,851,538,551,
211,192,623,414,460,067,736,038,045,552,596,687,640,443,211,134,453,792,796,
195,842,148,540,019,246,984,763,373,627,801,970,510,482,559,155,816,677,044,
931,597,830,672,865,936,314,216,625,663,009,837,980,640,759,553,149,364,334,
699,663,369,063,533,500,369,651,037,914,916,349,935,802,182,375,865,789,517,
992,447,124,167,712,974,644,812,049,597,418,107,904,473,167,630,453,172,641,
649,202,461,557,362,850,877,083,871,841,232,515,924,840,360,645,192,427,950,
227,836,822,448,717,434,384,303,361,977,887,696,652,053,637,833,803,604,285,
652,883,011,031,868,889,861,531,457,062,066,982,965,238,598,241,423,306,444,
507,268,971,138,635,416,687,359,751,347,997,726,421,767,204,478,634,817,569,
956,717,923,634,649,848,304,282,013,197,005,063,760,586,469,638,417,341,381,
456,894,520,736,512,118,793,856,701,346,558,335,332,863,992,250,000,894,261,
560,843,648,255,305,467,742,366,803,679,873,479,560,020,592,276,947,183,034,
278,947,186,729,759,462,020,103,868,377,186,668,480,760,269,751,942,845,211,
690,669,534,876,753,853,060,904,324,812,276,359,543,927,457,278,237,740,555,
466,227,637,552,391,311,941,640,704,169,613,276,481,453,095,848,004,465,326,
342,259,685,425,068,004,633,931,320,155,686,216,704,861,270,334,494,273,026,
888,160,037,267,085,641,818,247,403,531,218,671,635,543,518,408,883,362,466,
559,438,144,910,051,300,826,854,858,890,271,564,172,348,906,791,895,565,164,
157,353,123,280,545,806,305,103,122,188,553,992,957,433,966,355,424,046,244,
497,660,739,551,947,389,569,921,277,007,023,690,612,645,336,124,734,027,868,
126,786,850,633,585,591,673,433,288,771,856,415,881,317,810,596,998,407,473,
287,507,245,863,689,992,723,278,852,746,099,582,931,193,528,613,252,384,340,
038,934,606,863,292,921,057,380,253,972,249,981,529,859,875,687,622,111,176,
425,179,714,294,395,064,319,765,326,144,307,276,494,340,833,262,306,671,639,
584,775,518,758,405,199,062,004,328,944,874,750,991,164,676,582,089,913,915,
974,542,626,849,591,164,799,696,246,611,586,878,051,099,267,146,201,922,482,
399,427,394,171,373,574,329,278,074,683,872,943,820,966,126,482,059,631,830,
541,826,684,642,662,652,049,794,765,544,942,051,410,586,656,288,868,428,574,
096,893,843,557,080,462,607,651,243,570,175,696,872,117,864,813,351,135,229,
229,746,469,386,900,544,147,975,902,463,978,545,236,966,433,256,914,705,898,
006,009,714,486,858,896,503,825,005,033,301,640,951,633,839,682,228,910,085,
533,633,556,355,405,082,824,205,586,728,666,400,649,209,538,833,861,649,727,
021,082,710,675,398,814,796,077,877,432,578,402,777,992,609,981,160,378,366,
428,399,441,058,745,384,592,166,722,523,907,967,505,929,622,102,989,874,038,
816,297,068,061,488,284,941,071,457,440,998,070,771,400,193,557,355,547,707,
936,444,021,699,877,206,354,740,452,301,794,439,524,382,631,088,186,595,445,
058,972,364,146,620,618,179,179,135,775,616,055,687,170,439,326,584,437,591,
175,945,360,028,248,125,070,329,255,136,640,789,615,638,334,712,714,774,426,
920,094,750,701,255,441,641,203,754,021,940,296,973,515,707,890,985,381,441,
019,322,436,374,596,481,619,301,004,121,658,905,663,262,053,760,779,842,764,
754,451,100,921,087,498,307,854,726,645,490,164,736,895,122,118,499,457,863,
515,953,724,728,331,969,880,637,132,223,303,039,314,892,538,585,671,208,057,
873,263,521,184,935,394,763,431,896,287,475,198,075,910,215,225,694,671,285,
815,858,364,551,284,587,420,867,974,721,770,917,955,057,049,847,091,945,519,
786,950,341,433,864,269,831,391,577,175,971,748,096,158,908,899,958,435,380,
539,659,740,032,169,671,002,315,813,868,349,697,893,680,195,353,448,642,883,
342,326,775,866,688,682,361,563,102,881,354,869,480,439,690,100,719,130,368,
773,934,437,879,473,488,896,553,262,520,440,790,541,381,501,945,678,230,230,
492,373,143,745,244,048,390,008,239,585,489,004,217,017,457,448,846,676,437,
087,964,885,506,039,521,902,337,177,488,652,849,811,798,307,731,783,249,402,
179,599,907,896,927,548,337,046,074,278,316,614,555,335,108,732,819,215,439,
586,558,570,264,768,952,731,313,082,417,973,031,738,757,698,215,690,221,265,
395,155,718,549,329,661,266,285,300,968,345,282,844,792,491,377,214,420,009,
942,816,345,449,516,250,114,455,298,989,190,839,311,325,349,969,249,585,201,
281,860,133,781,485,055,444,335,627,087,403,701,873,804,105,194,031,157,842,
127,136,295,570,074,408,395,908,181,822,317,346,703,747,687,536,195,248,969,
552,281,712,133,395,742,947,049,624,608,924,291,757,824,249,540,106,528,377,
218,148,795,605,915,766,050,625,908,341,104,730,165,749,872,550,313,395,465,
065,090,398,101,036,408,850,814,359,603,561,192,746,739,274,823,335,400,194,
218,708,828,588,634,700,845,096,409,877,327,788,288,139,135,160,291,913,554,
319,270,799,172,424,989,543,471,966,069,185,117,581,847,656,126,351,209,526,
604,045,202,533,056,438,150,713,290,113,046,887,962,447,087,225,913,041,056,
169,609,459,633,996,611,981,783,966,679,555,972,889,129,222,429,437,104,684,
198,825,132,203,553,253,387,444,298,360,049,659,262,388,605,502,489,989,309,
665,153,288,358,313,658,441,425,203,338,432,528,634,768,643,077,755,639,000,
024,120,709,228,791,196,078,090,799,842,729,380,187,932,895,243,517,483,885,
784,434,418,428,615,350,700,598,731,789,980,438,758,868,737,505,626,648,770,
859,538,651,244,093,857,665,804,544,263,928,509,316,641,158,469,031,272,928,
212,315,200,953,116,971,149,530,712,854,079,470,035,943,444,667,068,786,524,
267,728,137,159,944,254,218,045,451,655,685,570,999,863,112,385,034,771,809,
838,383,580,148,918,045,016,252,955,300,261,716,172,914,587,424,754,035,948,
269,397,930,625,828,686,925,925,646,929,573,170,049,350,704,433,813,496,583,
983,686,650,202,513,190,114,882,638,792,147,882,483,900,511,255,334,231,741,
677,101,661,337,344,719,395,531,632,691,998,517,100,285,364,016,587,233,836,
073,332,425,756,134,536,731,712,275,058,461,875,421,503,628,697,982,266,842,
736,560,270,137,453,229,724,362,143,384,285,770,609,512,022,948,625,150,110,
182,393,821,591,711,002,490,485,139,806,832,810,578,326,030,293,767,173,447,
680,601,129,705,239,800,195,039,163,531,746,748,957,534,456,734,661,398,927,
823,826,059,558,649,063,109,641,948,752,660,745,601,381,758,067,243,688,770,
711,117,926,450,124,711,249,037,003,224,437,851,247,103,550,575,521,159,711,
508,795,652,146,239,174,416,917,746,213,553,054,703,684,067,586,542,576,849,
640,031,298,214,631,366,893,094,189,377,228,620,484,814,057,889,596,705,513,
152,564,554,284,327,795,922,211,379,852,430,941,981,764,902,045,022,487,842,
427,812,571,660,558,355,976,711,211,841,345,603,596,771,541,089,727,398,079,
073,195,947,511,879,885,048,321,645,226,081,790,086,315,346,760,972,763,776,
953,875,356,304,865,117,929,035,978,403,096,998,005,641,798,942,736,641,223,
817,706,547,131,148,131,383,033,940,070,206,675,132,439,924,623,429,234,142,
158,501,462,860,375,247,746,541,207,080,250,691,705,385,082,344,274,085,739,
616,280,967,553,370,108,023,019,361,714,217,134,247,205,257,576,578,499,647,
772,339,517,488,528,478,625,776,557,366,106,698,636,029,936,546,720,285,432,
374,904,799,303,052,821,340,831,957,136,578,357,823,747,902,106,777,775,125,
684,048,220,137,895,458,678,304,340,374,227,487,102,098,664,569,882,035,118,
766,071,727,665,937,473,328,624,653,577,794,540,543,649,593,255,617,809,785,
533,128,195,503,520,752,491,246,585,328,381,738,093,069,591,164,911,336,568,
325,799,696,234,466,105,641,872,903,072,542,129,730,722,267,981,637,598,904,
754,229,488,465,845,548,558,629,225,068,306,974,649,689,180,671,765,595,564,
546,535,015,255,488,956,383,608,643,765,006,359,737,222,282,503,962,117,382,
798,189,161,169,284,551,591,972,304,167,401,508,006,538,476,420,194,696,424,
137,182,934,476,864,455,476,345,006,587,087,583,200,987,017,629,153,545,431,
695,412,699,451,538,465,507,066,018,242,625,013,971,409,502,624,304,866,803,
235,015,846,752,277,648,727,355,128,863,180,519,949,739,841,327,598,382,555,
816,390,464,095,443,019,289,044,973,276,521,912,887,056,742,338,486,770,753,
825,113,729,652,062,300,305,915,695,632,960,441,102,727,758,141,754,452,299,
382,089,158,152,713,780,316,813,825,526,252,240,641,169,684,112,116,110,763,
281,991,747,629,927,202,533,990,804,139,800,268,512,524,904,384,299,859,426,
695,202,854,759,267,886,402,698,302,243,595,713,781,653,403,453,282,652,017,
627,946,268,738,617,888,634,089,687,413,794,105,589,550,737,323,043,146,904,
618,193,573,397,985,540,169,296,280,162,732,743,309,916,885,990,978,429,300,
162,319,964,017,519,554,424,371,882,020,639,065,362,599,694,887,714,327,631,
190,704,064,568,823,861,774,963,365,050,926,960,633,793,094,573,706,355,254,
296,796,805,981,663,410,562,307,771,242,342,233,728,887,354,525,468,661,129,
999,037,795,176,065,357,943,401,903,898,049,919,421,449,002,803,007,348,584,
147,262,564,050,286,987,317,612,370,576,384,064,108,219,966,918,567,414,540,
862,723,393,688,970,897,302,951,985,688,008,939,764,233,673,108,565,566,867,
049,022,285,294,444,033,399,023,575,921,408,877,842,396,935,519,297,451,759,
623,291,148,989,332,869,176,121,980,669,330,246,394,648,749,360,577,260,860,
172,134,225,791,676,391,455,672,492,792,022,355,426,252,048,562,049,771,007,
114,713,803,937,391,198,349,443,086,662,176,760,576,564,061,621,213,278,764,
203,918,595,466,767,843,713,660,954,702,468,864,776,713,272,867,475,675,913,
984,473,150,101,501,267,372,647,630,759,476,360,755,175,098,365,450,832,842,
467,699,850,909,386,661,795,944,434,109,006,850,998,126,619,436,704,950,544,
425,086,884,885,762,302,869,075,847,804,945,258,472,688,211,110,875,108,261,
778,386,285,217,265,495,871,518,014,912,758,035,946,864,186,777,891,833,995,
702,191,292,936,172,506,393,156,954,399,983,857,208,258,478,524,588,354,491,
308,718,075,855,833,006,123,557,426,464,092,729,640,294,601,661,670,081,642,
924,378,920,723,685,162,449,168,506,229,071,823,121,480,148,993,095,296,255,
525,028,626,579,375,897,850,512,011,022,748,996,428,370,559,351,310,779,615,
452,734,339,099,474,799,060,529,980,222,192,801,592,726,916,975,444,843,438,
881,184,244,200,853,237,386,886,558,906,809,779,790,160,976,656,695,318,135,
873,371,916,864,254,406,793,598,716,272,591,712,600,659,127,083,206,717,292,
686,380,453,216,793,236,895,149,631,544,765,942,014,288,701,827,217,508,627,
055,072,677,586,212,185,410,423,384,632,547,755,860,505,583,390,089,204,596,
827,436,238,655,768,130,316,542,765,827,319,192,417,190,235,035,178,213,150,
320,413,113,159,949,094,157,774,585,920,311,941,956,490,264,863,720,169,037,
453,148,577,529,106,021,186,203,402,519,071,276,002,129,098,486,572,401,314,
030,743,088,696,787,436,073,289,175,610,614,554,054,699,119,338,663,823,377,
760,384,411,601,331,111,620,336,016,941,549,332,329,473,584,732,883,926,819,
124,542,901,102,004,887,655,392,619,751,823,242,873,445,669,832,781,324,196,
849,623,708,569,509,468,667,648,735,284,301,598,494,920,101,932,768,919,374,
872,541,252,444,839,151,206,987,440,524,325,801,014,323,563,518,304,721,467,
037,500,899,380,341,321,887,009,603,352,404,592,620,825,603,222,744,665,621,
822,232,661,550,120,603,518,284,199,397,695,289,629,078,795,413,213,174,081,
004,324,421,679,959,495,357,139,940,343,519,886,982,138,311,915,035,656,023,
491,840,818,606,218,744,713,919,537,164,240,372,868,364,214,388,307,119,224,
964,481,206,891,954,250,870,742,728,729,349,293,502,026,676,270,271,648,594,
387,203,191,888,618,260,316,306,097,864,923,405,257,545,398,048,428,201,469,
590,395,560,916,198,637,816,022,528,021,031,512,012,887,374,090,209,051,465,
874,460,296,825,352,662,364,197,089,584,665,279,283,269,022,666,037,217,198,
158,162,212,703,080,411,332,333,336,192,789,439,778,255,388,307,437,295,604,
722,543,431,044,393,795,233,477,983,256,862,510,808,121,756,477,992,137,847,
210,298,052,900,524,472,744,723,999,662,804,155,261,873,449,979,086,803,290,
578,239,030,654,677,520,378,894,757,151,532,071,956,544,977,813,057,856,532,
460,947,769,917,014,512,714,738,505,201,043,171,481,845,521,887,774,129,762,
978,266,751,550,370,731,863,475,621,880,771,820,694,462,346,170,823,682,692,
219,701,664,937,803,380,775,641,301,942,813,684,148,284,869,599,606,784,739,
304,103,309,888,642,771,256,266,498,220,361,962,528,331,796,094,024,913,661,
659,407,738,028,982,467,990,541,886,020,003,334,595,929,793,800,736,417,464,
618,033,095,077,101,931,287,916,991,418,883,410,484,306,906,362,800,113,588,
082,940,736,632,794,989,663,326,548,030,643,924,153,938,385,193,182,573,192,
390,156,331,225,666,033,945,454,900,334,315,436,742,416,281,453,255,206,439,
387,560,546,571,480,450,739,370,062,650,386,938,425,282,257,803,135,172,528,
422,447,160,042,728,759,519,550,360,336,817,734,282,110,255,813,619,025,995,
187,694,703,235,000,209,830,686,246,572,623,291,498,344,215,716,693,984,303,
806,310,595,880,024,710,362,890,878,488,042,992,687,055,814,331,377,541,708,
937,447,707,856,585,327,343,222,665,632,209,236,845,166,088,620,769,406,360,
777,853,359,958,441,562,848,730,214,031,343,623,221,513,695,287,819,231,570,
554,372,642,088,129,518,569,757,949,744,736,851,919,423,049,071,441,495,505,
867,077,479,628,094,743,045,813,753,199,285,753,704,067,705,329,275,688,828,
911,555,277,681,362,529,019,342,568,677,712,187,600,209,872,199,045,865,403,
245,014,261,520,738,792,181,248,412,568,400,356,010,643,517,015,840,939,813,
123,968,982,557,609,800,965,674,783,999,837,344,307,155,335,746,752,563,669,
474,870,008,921,910,951,533,291,599,954,985,825,287,342,285,753,983,497,756,
649,906,005,383,389,549,359,374,722,493,164,948,056,988,549,466,859,236,698,
687,988,955,043,115,241,202,741,308,186,493,995,009,912,450,178,524,345,544,
586,394,783,757,855,492,383,727,499,154,162,799,010,236,126,900,668,865,549,
251,227,848,407,044,800,149,713,089,174,978,393,816,156,834,322,554,709,247,
585,456,194,977,748,383,395,976,366,727,225,428,590,274,171,227,749,820,367,
306,736,972,601,521,286,013,998,000,571,347,937,045,573,130,812,050,125,410,
604,301,499,521,393,475,731,146,039,429,685,406,695,621,174,654,910,165,351,
704,038,765,436,784,189,402,345,154,498,244,024,567,960,506,524,113,605,737,
801,393,869,805,066,935,986,016,551,523,262,702,902,028,758,056,498,053,314,
262,039,421,463,398,789,540,599,199,274,556,287,356,165,755,515,595,140,644,
343,753,322,851,109,617,355,799,211,110,244,711,502,897,365,479,050,359,029,
956,856,962,845,134,398,999,348,385,798,706,769,434,387,263,420,825,741,121,
901,577,705,176,647,474,737,700,563,725,418,037,997,345,525,848,554,666,922,
365,649,426,450,479,767,077,315,620,028,258,581,663,690,543,103,643,431,891,
237,531,094,934,556,591,595,105,228,195,738,226,434,166,603,148,561,465,504,
511,991,112,857,100,721,846,423,096,535,615,100,440,439,255,746,678,403,386,
107,951,289,179,920,630,040,428,995,641,973,752,191,554,943,851,331,393,664,
816,940,247,284,702,301,320,738,814,056,910,811,956,375,262,495,244,340,176,
880,185,226,544,227,724,073,158,900,705,290,498,852,501,091,376,930,041,465,
151,443,829,899,136,086,330,704,376,387,116,107,067,976,261,604,613,447,448,
112,749,007,308,328,052,987,317,535,635,085,465,700,961,910,529,147,861,962,
617,087,197,513,242,430,948,178,991,582,316,610,394,368,629,725,132,639,814,
960,530,752,970,410,769,899,875,709,092,823,275,703,639,468,431,365,456,030,
258,470,352,473,171,176,616,325,467,974,695,012,085,333,939,918,780,587,520,
576,630,348,660,856,207,637,618,969,234,353,997,279,055,285,962,571,815,402,
488,326,492,589,761,981,202,451,334,372,181,919,719,140,401,282,373,762,123,
574,733,448,744,453,124,530,707,287,196,974,414,344,490,342,196,305,155,241,
329,321,985,250,759,845,056,138,595,947,617,017,915,866,271,854,869,413,849,
878,395,804,459,889,294,916,117,882,493,651,273,134,865,443,520,881,138,438,
998,389,567,267,526,464,559,106,450,938,855,226,658,232,644,677,815,766,408,
058,104,039,302,616,416,379,250,314,674,730,827,948,925,737,937,515,799,357,
041,791,842,299,627,018,068,859,583,659,979,619,663,285,426,940,510,361,325,
927,570,902,981,570,508,100,333,997,125,238,258,679,427,964,465,125,530,517,
589,238,659,235,519,542,220,965,765,091,279,295,233,642,442,747,300,659,096,
697,599,517,742,472,122,074,961,265,482,794,759,393,904,954,301,534,292,450,
390,135,212,024,812,928,459,874,643,717,367,927,551,722,012,284,451,954,547,
336,374,984,480,802,781,949,462,843,184,629,017,583,547,478,877,952,812,642,
665,376,778,416,497,845,666,419,198,475,860,872,185,054,597,979,844,261,024,
692,831,897,858,771,425,385,527,969,881,905,674,360,736,411,966,080,531,867,
915,340,911,023,392,788,207,395,846,929,943,771,557,993,585,231,242,399,006,
836,815,388,502,022,527,105,693,148,107,190,285,978,306,090,431,084,554,447,
002,626,217,559,811,347,202,502,873,750,179,162,547,793,263,475,257,021,576,
227,178,345,250,103,214,272,457,962,357,459,911,552,007,813,184,562,934,547,
268,421,300,739,700,007,421,635,609,550,790,136,265,753,317,338,274,678,692,
089,537,112,652,537,126,282,347,154,774,088,735,838,902,073,066,048,404,458,
982,646,917,118,607,257,421,782,858,531,398,646,589,544,290,504,996,790,897,
199,152,990,473,925,413,840,979,182,331,239,333,300,495,539,656,618,647,355,
851,948,390,754,869,754,353,129,448,545,198,517,953,353,071,862,379,695,582,
355,275,754,258,996,951,265,086,947,422,294,382,267,799,913,707,626,426,170,
703,395,127,682,297,196,088,798,990,056,354,868,436,396,690,838,095,329,889,
310,371,780,310,241,662,836,553,527,482,651,672,903,164,438,843,739,600,316,
415,520,084,933,719,620,445,344,782,283,181,285,470,098,811,627,136,093,330,
633,922,122,249,227,104,781,641,114,494,900,596,312,454,999,862,076,726,719,
696,320,755,746,386,798,158,585,202,728,811,668,741,403,178,927,076,335,244,
244,141,116,076,760,853,759,703,185,322,701,380,012,990,826,137,714,573,393,
552,052,387,625,574,237,468,213,151,443,525,124,494,867,766,503,922,231,511,
770,569,093,553,753,339,192,711,184,455,999,201,769,586,637,261,126,886,726,
991,192,357,592,338,498,850,448,568,425,184,967,632,413,543,171,065,813,137,
347,102,107,766,437,217,969,780,833,158,683,811,431,247,375,864,745,579,867,
788,097,048,359,704,188,350,537,695,466,468,200,293,489,050,646,223,697,063,
318,937,221,677,674,785,107,820,875,748,581,138,479,518,726,564,372,343,421,
368,161,218,458,254,136,618,028,013,536,821,908,562,522,843,038,086,831,563,
938,364,101,969,258,823,630,118,816,511,335,901,719,401,370,783,555,996,293,
820,537,382,889,628,012,746,470,255,418,115,979,049,206,897,008,126,008,403,
214,356,230,068,379,325,350,663,233,007,187,655,169,041,850,956,505,594,583,
824,598,062,309,139,946,104,847,746,584,914,892,207,267,221,778,015,204,098,
578,948,418,431,381,971,725,333,023,679,282,824,237,981,965,379,610,691,398,
950,570,059,328,788,476,292,938,280,721,585,499,826,344,473,616,544,624,141,
192,375,821,499,810,150,739,410,829,691,872,102,832,416,517,999,539,677,730,
438,686,457,754,752,129,100,316,883,507,416,481,688,587,515,944,322,417,336,
011,633,392,098,734,342,555,036,083,894,877,088,941,327,148,732,678,223,064,
435,776,433,527,512,368,464,312,432,135,625,937,702,480,583,767,977,558,605,
916,571,409,916,941,434,668,824,580,199,834,866,602,119,225,948,730,608,271,
581,042,988,316,036,954,817,275,578,058,467,584,488,497,732,472,073,246,344,
502,766,179,098,997,731,481,787,467,979,708,304,022,777,872,210,567,137,195,
924,829,193,599,708,584,771,566,830,371,951,183,363,552,621,288,985,242,306,
491,256,596,357,979,913,868,752,357,800,600,163,384,476,287,922,043,140,232,
971,616,459,149,943,528,472,303,102,707,188,213,339,631,179,827,530,018,815,
504,325,915,528,578,643,774,510,121,860,167,682,982,020,193,142,223,609,787,
422,101,114,513,739,202,765,767,819,085,256,891,787,981,832,741,298,552,942,
923,271,568,952,752,637,467,144,140,688,952,429,976,185,686,628,819,391,711,
455,200,567,859,618,685,829,002,395,191,633,975,787,798,372,064,936,926,943,
909,582,549,646,757,339,879,690,359,910,411,940,817,659,717,977,152,986,169,
558,222,938,409,154,130,099,018,205,852,112,618,951,556,038,698,163,117,765,
409,964,731,692,376,952,382,045,880,932,527,098,352,105,216,596,516,869,037,
288,187,587,006,747,175,199,874,926,325,155,262,590,763,595,899,698,753,308,
248,813,676,238,074,491,879,314,447,970,128,595,502,125,690,121,881,352,853,
936,629,186,453,453,239,888,393,929,372,737,441,202,309,838,275,679,081,826,
243,528,765,993,397,719,875,487,802,702,126,978,929,785,142,116,570,897,282,
352,209,907,842,823,766,731,692,344,505,300,970,087,381,598,689,294,362,114,
174,768,525,684,605,708,043,914,990,431,950,240,903,193,928,977,295,303,162,
380,956,330,868,499,202,451,658,254,481,469,084,601,979,502,629,938,615,768,
929,151,242,307,796,404,946,196,184,098,090,323,712,130,850,803,816,023,598,
575,728,150,982,345,682,294,058,274,341,022,565,539,822,852,340,468,945,682,
940,819,958,508,715,631,439,581,930,370,463,492,461,549,391,316,871,109,436,
354,764,320,383,980,697,019,143,904,541,415,517,112,938,772,147,260,047,942,
335,210,966,546,603,002,417,452,373,078,797,805,780,708,444,936,230,108,646,
701,113,988,489,351,256,388,040,230,974,899,340,511,302,120,157,627,986,930,
956,244,366,939,730,997,858,041,142,553,623,362,656,284,271,999,440,516,543,
305,319,703,409,272,281,026,263,787,003,818,387,686,638,687,874,911,799,430,
800,426,953,452,188,800,196,648,751,077,718,936,476,196,446,945,809,658,566,
979,439,859,716,816,308,402,136,003,731,051,799,111,716,428,323,709,092,118,
800,571,369,543,157,335,164,504,960,862,293,751,249,910,076,525,735,483,483,
935,787,865,872,689,338,949,625,584,670,303,043,972,853,591,349,843,916,497,
458,181,681,958,017,193,492,411,158,033,603,898,051,701,895,062,070,973,275,
992,845,471,976,575,545,165,674,346,385,696,263,515,183,015,798,210,188,787,
598,065,295,615,681,437,196,356,938,130,824,506,027,130,562,712,351,098,285,
107,846,512,707,793,665,483,447,806,986,793,455,197,762,685,744,558,364,291,
203,437,488,517,171,909,602,082,200,066,419,913,093,492,769,232,114,102,881,
775,971,607,028,653,724,945,717,093,057,446,982,698,361,872,887,633,527,307,
110,286,986,567,832,939,031,960,640,348,026,508,050,937,702,549,993,027,886,
023,341,743,971,122,541,423,688,050,277,815,575,609,816,633,906,826,887,727,
789,232,986,025,561,965,784,771,705,251,653,520,371,215,272,178,799,221,601,
940,333,599,487,790,914,488,806,644,914,562,656,887,853,004,861,380,736,067,
962,735,502,388,026,130,096,026,256,946,993,659,909,227,934,615,878,254,055,
072,477,232,903,522,399,213,018,757,074,998,860,909,617,799,993,077,130,775,
386,866,071,290,174,622,059,369,673,847,327,611,533,842,374,362,676,289,208,
609,377,606,012,742,857,343,561,258,884,821,050,982,134,704,029,386,272,482,
251,728,391,297,392,519,475,790,990,210,835,026,644,019,960,077,230,323,629,
630,962,270,405,420,638,640,012,422,174,410,163,871,336,087,296,399,944,795,
502,462,963,571,003,720,803,215,816,518,550,243,529,279,202,442,952,523,462,
753,959,643,988,023,619,304,282,284,539,658,988,372,757,688,403,105,864,883,
566,318,745,128,826,417,793,708,678,610,373,689,021,529,670,696,405,294,854,
925,748,783,906,719,427,344,939,300,386,096,132,091,497,165,343,872,909,826,
179,038,982,877,499,257,751,512,522,558,210,092,933,255,639,325,934,290,429,
547,660,539,696,361,683,555,700,452,381,794,819,483,079,153,980,549,473,592,
071,470,744,473,334,617,285,949,797,046,680,390,311,013,958,277,078,312,481,
146,842,332,448,376,730,233,091,202,700,996,812,334,071,432,814,905,024,105,
353,467,551,489,044,530,435,145,927,459,667,361,563,195,398,539,148,391,874,
814,779,802,034,524,546,102,481,991,419,610,436,332,767,956,718,681,371,807,
314,251,673,162,171,132,247,845,843,818,742,307,379,234,708,918,296,743,184,
455,376,856,320,621,463,358,337,425,289,101,896,080,898,329,344,808,114,159,
558,330,422,991,171,708,337,959,619,599,948,002,877,199,419,619,182,884,513,
860,329,257,160,877,573,660,167,349,065,903,804,667,656,008,499,457,444,481,
341,324,876,471,038,812,375,326,498,864,323,372,095,323,532,166,139,579,113,
036,673,305,735,384,375,382,528,705,875,138,655,700,282,613,564,316,240,270,
262,336,557,903,745,060,402,323,212,063,617,549,464,464,499,189,953,982,975,
935,876,826,695,647,058,570,171,327,053,046,765,668,829,484,654,687,332,934,
271,498,839,499,323,513,628,284,377,986,512,778,610,356,094,315,224,481,197,
508,427,812,024,155,138,482,492,660,381,478,078,384,396,127,923,530,526,091,
133,302,412,533,941,042,880,335,798,046,846,742,498,690,011,830,985,733,417,
585,036,791,507,277,099,321,030,373,899,395,744,023,457,758,011,393,531,967,
121,638,705,505,674,844,645,383,154,122,738,694,612,890,798,848,334,589,987,
566,937,610,021,670,759,151,366,991,517,216,858,140,715,272,673,543,821,152,
878,707,128,380,152,037,607,650,480,823,049,625,621,968,114,720,200,917,323,
115,785,042,610,473,069,409,425,205,051,998,761,466,603,950,878,948,153,493,
864,677,173,679,551,738,679,978,558,223,867,324,033,372,591,058,853,184,896,
597,933,185,697,309,789,448,783,931,931,646,615,352,809,553,816,338,061,714,
557,553,950,124,542,010,552,832,716,511,399,024,636,814,430,920,564,410,796,
308,527,148,584,570,703,139,730,303,427,079,982,960,257,157,319,812,047,429,
972,909,994,060,404,092,148,544,284,054,188,502,974,077,827,318,277,913,614,
275,459,178,823,364,470,205,512,516,964,840,048,280,626,534,631,027,367,733,
360,285,710,628,450,265,166,844,696,517,967,450,597,086,011,903,159,168,579,
013,268,433,303,316,506,524,329,776,061,060,161,693,144,462,812,691,454,151,
788,441,801,945,229,488,729,455,592,729,373,460,445,696,199,385,140,752,018,
006,744,296,761,504,323,745,707,580,474,679,002,526,951,454,609,082,338,721,
876,467,982,699,148,116,686,907,667,940,681,220,082,849,316,681,658,056,406,
206,261,815,200,398,189,537,853,465,460,788,464,369,436,351,180,993,853,784,
799,342,801,069,945,021,933,523,638,106,281,348,441,210,736,658,498,197,251,
018,056,884,978,884,972,075,969,625,953,573,423,003,827,959,543,363,926,471,
772,302,436,630,551,508,266,207,608,321,495,253,928,740,921,791,618,788,824,
365,158,227,217,940,875,560,736,788,041,152,423,197,981,811,172,603,872,704,
434,632,780,031,600,590,509,636,007,790,932,037,503,170,403,360,054,999,051,
278,991,016,344,935,078,509,358,721,559,516,180,392,800,260,796,797,332,966,
434,841,450,387,973,856,291,426,149,218,804,107,754,785,491,431,771,361,922,
143,298,806,266,666,830,863,584,099,560,481,474,529,469,812,573,725,491,238,
998,717,907,584,907,078,773,665,293,787,962,982,254,228,023,292,595,535,821,
784,493,508,219,111,514,872,095,414,600,318,123,713,221,466,120,050,375,133,
611,956,230,046,552,738,048,468,333,507,985,520,404,672,620,221,874,521,227,
337,654,484,384,899,536,374,608,975,228,375,556,657,167,870,644,021,068,102,
428,214,683,166,694,126,575,183,896,714,623,811,148,478,712,370,736,160,496,
355,267,260,373,545,399,974,825,715,642,016,763,726,476,697,965,079,364,499,
371,464,677,565,411,621,801,376,464,194,483,186,088,835,089,846,131,109,645,
500,557,823,596,987,615,334,319,930,527,671,896,622,648,449,399,539,161,571,
436,213,508,846,490,865,909,874,741,509,039,441,700,567,698,066,227,458,945,
456,224,500,422,135,827,418,181,519,792,123,710,362,344,733,502,025,214,959,
555,913,487,187,056,672,585,897,414,767,483,702,006,617,602,678,669,878,253,
552,936,133,138,040,044,958,693,131,764,914,398,045,070,418,631,572,665,461,
274,265,542,633,780,388,655,787,764,354,598,318,277,102,812,934,658,621,256,
717,737,236,579,856,183,335,310,372,967,936,626,225,891,604,063,096,770,298,
435,225,851,828,848,762,402,871,672,962,340,278,821,619,958,110,032,333,089,
641,527,596,846,996,924,051,396,131,869,212,704,621,642,522,804,436,569,088,
046,276,199,394,549,619,005,481,788,104,585,873,263,771,239,661,954,151,552,
175,686,538,087,024,574,038,932,828,944,841,775,756,036,512,076,628,560,593,
596,513,296,086,700,413,264,231,277,715,277,932,580,570,952,115,169,271,865,
072,868,379,036,311,884,564,490,489,196,358,293,834,638,983,724,989,327,747,
327,354,672,139,610,308,369,876,389,270,925,078,685,443,776,298,418,273,416,
594,309,585,019,833,903,514,953,490,514,488,633,018,486,563,507,089,636,085,
924,665,497,098,519,964,918,152,850,447,147,683,357,845,368,113,672,448,200,
244,842,628,155,963,071,747,313,090,113,971,316,679,681,782,865,936,040,734,
293,262,546,068,974,111,101,768,885,762,414,853,001,237,893,727,335,088,713,
082,321,003,293,031,484,473,189,138,562,610,363,360,916,701,093,972,177,917,
439,789,073,910,491,314,563,660,327,700,926,616,324,937,030,296,415,847,170,
225,223,341,958,915,651,199,741,443,653,615,335,391,371,540,023,280,733,966,
026,017,298,746,522,344,940,290,796,090,599,194,768,748,874,412,322,750,425,
273,236,285,431,845,197,658,756,198,547,949,885,313,186,485,985,141,294,747,
125,540,987,017,445,147,046,400,902,982,665,011,634,315,768,219,809,523,155,
039,274,058,507,009,988,404,079,431,612,925,334,426,279,155,409,333,190,463,
635,991,546,612,081,705,381,320,557,104,406,258,897,088,097,549,461,970,099,
937,279,782,351,612,099,278,415,804,847,038,438,703,608,308,022,373,912,084,
340,783,081,603,297,546,549,134,870,602,185,894,470,427,850,115,120,967,792,
589,630,203,544,219,596,607,488,695,382,546,224,712,465,689,560,243,164,673,
452,243,692,261,218,479,212,768,129,789,203,992,327,628,451,351,705,121,502,
320,880,981,221,879,011,817,423,690,718,847,825,697,278,633,534,307,367,941,
251,300,642,654,892,869,147,399,331,440,845,190,299,653,592,728,944,963,393,
577,533,627,857,769,561,973,805,245,653,989,509,771,341,230,164,972,049,199,
328,599,213,444,613,601,508,746,189,364,678,217,745,729,820,344,723,722,052,
533,577,590,856,448,165,258,277,557,780,791,603,122,351,984,710,806,948,264,
668,037,536,859,949,509,555,855,463,089,683,756,043,642,677,721,943,916,897,
727,799,210,530,414,304,767,583,908,047,287,581,431,835,473,555,127,589,032,
862,625,468,206,254,859,491,103,086,128,239,805,491,775,219,718,391,413,423,
144,010,329,709,793,914,206,618,847,222,171,464,394,563,780,070,522,948,423,
956,639,626,869,157,555,702,288,730,008,152,882,822,946,219,430,716,147,767,
888,638,780,198,677,550,519,244,661,731,806,565,029,510,277,054,186,538,605,
941,459,103,296,549,395,231,892,045,386,067,231,146,689,396,735,640,264,771,
842,567,452,603,191,545,473,923,660,106,591,885,614,838,146,649,138,119,474,
837,823,940,646,815,207,775,404,419,035,642,358,441,290,030,785,177,454,557,
187,745,155,173,101,591,944,598,965,586,320,484,025,109,088,545,087,205,614,
196,421,287,164,394,571,622,195,146,265,704,227,493,425,059,160,386,247,828,
370,741,293,116,874,140,671,926,264,055,746,316,066,716,779,899,542,206,836,
144,428,589,620,182,591,336,454,355,536,322,669,474,671,028,474,156,711,952,
246,558,103,850,477,213,387,650,045,485,328,566,107,090,873,688,222,782,460,
815,219,162,903,089,903,049,437,443,462,542,609,062,215,766,825,092,535,339,
978,342,493,891,086,155,651,394,585,203,639,012,427,531,010,776,752,379,569,
919,771,964,913,685,862,460,908,805,335,188,569,653,326,222,764,514,869,997,
687,623,431,923,306,533,165,645,433,681,491,132,435,761,114,902,561,698,788,
297,193,645,296,581,747,095,483,460,588,087,540,472,503,514,659,827,217,702,
723,021,037,600,420,952,124,174,747,571,115,503,312,235,618,623,094,307,645,
573,615,596,378,342,952,414,747,111,005,014,444,066,371,723,885,302,398,730,
850,428,882,311,434,310,999,712,048,498,088,115,213,817,811,563,545,917,504,
193,146,381,897,798,322,939,378,007,234,905,830,126,965,028,380,504,091,945,
460,431,634,617,879,477,945,356,060,016,566,940,061,068,086,123,558,025,217,
678,356,250,960,673,618,679,147,240,879,146,211,932,810,942,392,796,276,684,
492,155,967,407,212,158,364,255,400,254,960,202,411,417,338,050,537,281,371,
687,988,025,438,627,867,188,574,069,297,531,792,360,067,794,502,387,336,490,
092,982,918,079,152,996,709,993,316,510,138,081,670,422,527,460,154,851,958,
663,394,980,071,186,772,903,688,550,704,387,107,986,343,282,691,562,235,097,
968,144,044,882,959,779,810,491,207,557,310,612,513,173,028,845,242,382,697,
244,912,541,378,108,440,750,226,663,728,333,355,256,692,098,928,152,913,797,
998,430,644,434,489,870,789,891,466,697,621,141,676,162,204,930,904,012,245,
476,983,712,190,843,513,171,859,823,705,197,836,677,733,869,139,071,069,475,
956,403,845,737,763,155,552,078,552,454,462,341,422,798,287,023,167,306,858,
273,264,270,361,982,817,462,762,240,545,547,492,189,394,551,433,837,910,425,
137,211,513,134,069,924,651,827,692,293,074,242,182,090,498,201,482,338,254,
032,404,547,421,530,221,533,327,336,685,551,078,229,063,640,092,308,424,990,
261,547,463,258,927,922,237,670,558,481,202,657,013,158,313,812,568,303,627,
058,573,237,917,482,724,533,558,384,333,300,397,426,427,982,349,996,832,798,
106,177,119,428,047,318,417,281,116,426,144,811,609,279,421,392,098,275,392,
620,253,268,169,491,238,129,415,901,659,977,265,068,012,078,763,677,754,116,
547,191,831,993,359,832,485,170,397,672,048,270,742,999,306,060,049,331,746,
468,951,700,596,513,585,200,123,107,033,046,681,155,561,203,374,236,887,253,
623,153,105,278,088,738,463,918,433,578,553,842,469,302,118,692,667,359,751,
213,442,569,371,354,375,195,684,077,106,094,915,416,139,694,731,929,152,720,
197,858,102,689,777,127,232,460,005,339,261,414,321,304,369,970,459,079,072,
547,573,985,140,393,970,846,983,168,886,730,475,967,098,558,220,346,986,816,
213,532,396,338,988,857,581,005,909,763,171,865,446,316,065,114,360,871,902,
861,053,312,755,793,631,151,168,799,894,409,746,295,064,269,419,249,714,821,
769,699,512,800,797,352,609,714,912,841,603,935,309,640,878,811,197,166,782,
038,648,207,960,441,681,367,298,094,643,517,974,720,458,738,201,306,956,839,
971,048,760,211,600,003,948,692,273,299,484,728,980,847,193,319,563,443,998,
372,523,990,375,378,181,234,497,016,615,846,977,648,520,006,999,131,961,779,
497,521,394,961,630,318,619,411,526,412,610,420,891,759,107,282,645,739,725,
362,107,613,101,535,327,248,371,300,444,588,675,926,145,510,835,494,598,362,
511,119,715,440,528,050,256,140,328,209,128,710,943,241,186,008,158,269,803,
592,582,657,071,080,679,616,530,269,335,069,967,272,547,876,428,982,909,443,
662,226,210,371,802,777,803,438,955,635,536,288,235,680,213,191,787,377,013,
839,224,106,833,438,134,589,474,485,934,751,800,930,352,154,176,494,679,198,
692,252,366,467,825,311,649,204,107,705,567,960,300,006,379,781,044,997,111,
407,760,811,477,506,701,020,028,814,363,814,361,420,101,036,194,137,208,775,
212,385,105,606,469,017,550,080,998,883,827,731,110,900,484,553,874,895,254,
935,437,941,454,524,381,950,855,550,095,884,324,361,246,622,178,453,594,318,
912,916,797,670,337,795,531,262,876,299,048,427,962,726,455,866,237,103,841,
833,278,118,858,588,533,384,924,460,691,697,754,104,842,562,842,887,791,209,
093,273,157,971,019,765,139,205,665,988,136,997,280,814,045,187,942,907,674,
275,515,663,696,119,658,569,503,040,023,907,749,910,617,466,185,630,553,307,
421,483,542,666,762,329,377,286,273,457,650,536,026,544,750,751,768,652,035,
105,966,675,464,973,211,713,272,391,440,122,979,472,243,927,825,351,366,873,
090,713,372,213,330,781,662,328,681,759,723,315,911,767,441,348,479,698,402,
314,348,534,392,675,550,105,092,799,560,344,167,792,173,975,484,049,390,373,
978,450,713,855,331,021,301,101,372,574,032,688,400,998,355,482,164,759,925,
448,213,085,976,147,562,316,837,586,963,357,232,674,966,469,788,634,739,468,
392,564,564,148,073,716,659,832,938,063,871,173,610,702,887,487,273,875,362,
932,593,477,968,308,441,552,739,108,459,580,117,529,561,458,499,806,075,384,
225,109,034,515,231,874,548,724,085,892,444,300,337,039,445,970,270,715,273,
238,805,925,396,608,558,554,724,385,609,442,146,392,091,450,834,067,699,239,
999,161,088,333,298,433,874,004,110,845,175,406,118,886,200,912,382,447,283,
527,667,082,564,720,117,805,594,400,344,212,681,254,736,798,373,298,815,585,
735,060,236,440,771,678,894,994,928,470,115,787,386,779,144,015,699,009,403,
449,628,270,165,063,553,003,634,556,696,659,043,926,558,862,761,669,533,747,
753,689,563,501,288,339,659,947,086,133,473,106,952,413,031,130,758,684,845,
712,773,118,392,386,934,979,688,726,238,350,166,338,219,579,341,245,346,984,
714,888,771,418,954,127,514,992,529,540,705,370,005,639,995,882,947,321,336,
177,304,264,823,472,538,028,667,515,313,560,180,855,804,937,696,891,508,854,
260,031,153,209,485,820,343,047,574,476,036,464,295,798,950,394,053,067,250,
359,871,207,580,560,084,124,737,651,564,033,024,673,684,297,119,800,240,048,
295,714,565,633,324,394,094,184,730,393,608,617,539,292,991,350,783,782,218,
640,349,643,102,763,479,341,166,623,115,939,280,489,290,983,265,010,277,983,
281,969,270,821,629,941,335,458,617,880,573,192,199,600,805,291,305,322,361,
780,193,746,901,921,694,977,376,479,686,842,320,906,759,967,089,344,565,725,
213,108,731,581,229,154,559,734,036,755,676,135,596,285,939,619,414,051,326,
917,871,224,520,704,999,284,639,428,760,778,549,673,533,329,339,501,660,806,
149,053,624,727,405,907,385,485,761,336,392,175,910,101,492,744,664,763,787,
601,262,883,579,548,014,404,057,916,809,600,327,590,897,261,718,422,826,843,
462,620,908,277,788,074,156,824,104,918,358,779,429,352,200,245,334,207,103,
808,147,394,860,859,700,216,238,909,342,707,237,392,012,438,576,209,569,915,
110,857,221,367,800,563,031,967,140,685,642,224,799,846,238,540,762,520,281,
563,565,008,633,505,949,196,725,156,065,607,629,028,363,101,102,693,790,480,
291,710,979,232,349,229,954,745,560,327,218,255,849,413,894,807,852,151,970,
651,403,497,140,407,238,234,080,654,786,729,770,542,070,449,217,382,251,254,
326,339,091,074,207,077,508,873,778,773,242,397,561,412,021,826,567,392,620,
339,633,818,712,282,556,670,686,918,820,952,310,490,477,326,453,862,130,975,
312,530,162,239,896,699,089,690,368,431,991,043,999,649,591,768,669,209,289,
534,538,231,942,948,495,874,303,076,781,707,576,159,071,022,062,564,129,276,
047,035,343,030,937,968,147,557,702,691,061,241,071,960,125,071,935,388,347,
940,047,245,564,802,462,496,693,236,841,346,574,110,871,744,177,171,682,210,
751,123,047,553,807,607,150,864,180,270,060,995,387,265,413,275,867,764,791,
622,346,751,855,480,075,836,434,593,604,205,698,889,046,991,850,965,215,887,
816,067,624,188,674,099,783,601,781,117,070,640,408,885,670,492,186,193,770,
584,560,746,769,400,923,483,010,234,493,177,493,238,270,829,273,014,695,954,
710,554,502,060,256,803,076,143,079,140,718,189,098,857,256,480,966,138,080,
426,795,794,945,892,393,959,507,978,657,996,974,706,544,723,284,456,995,532,
100,968,146,156,506,055,262,661,505,978,375,005,044,234,826,660,190,169,341,
685,952,801,830,531,526,119,570,939,246,301,465,184,159,456,440,108,595,272,
082,942,069,808,070,884,173,746,627,571,626,364,172,376,161,276,237,053,818,
683,767,035,455,827,059,520,990,563,148,021,325,049,789,163,037,070,453,579,
606,148,907,968,005,018,614,952,830,436,826,144,190,427,308,237,175,546,115,
615,266,685,267,499,034,191,047,664,291,005,890,679,220,734,001,112,443,574,
765,873,408,696,378,474,443,130,066,337,936,912,126,286,085,648,656,287,126,
372,780,300,303,108,258,397,784,415,982,173,308,515,463,682,899,887,279,791,
782,902,403,203,206,647,910,756,248,761,478,324,797,448,635,008,296,056,802,
256,226,684,343,398,000,789,467,802,388,116,777,901,715,840,551,858,512,266,
112,489,141,715,652,118,306,127,639,465,763,656,928,706,579,634,505,799,801,
407,761,705,828,087,851,389,910,675,234,326,070,935,649,418,364,456,803,920,
545,536,655,801,328,567,265,967,687,715,019,573,602,106,220,150,061,959,691,
212,166,968,887,755,394,915,601,992,151,569,414,140,921,430,771,210,917,917,
109,749,318,318,169,233,457,349,067,166,671,615,709,842,612,249,510,469,579,
519,081,988,090,268,536,684,977,595,719,090,660,609,647,291,030,556,020,148,
419,758,268,761,066,896,850,471,442,726,963,242,855,103,477,256,779,193,918,
898,004,303,705,342,213,548,946,245,841,069,639,485,054,970,187,665,725,615,
263,814,970,388,597,516,072,306,430,164,327,328,717,315,294,886,008,908,404,
651,101,092,300,936,535,457,070,392,440,729,366,157,046,444,293,870,347,163,
720,726,590,961,475,437,890,489,839,478,451,204,645,910,191,861,644,240,980,
425,040,341,692,432,722,852,492,747,126,015,025,239,717,734,861,990,562,334,
985,706,789,580,694,821,647,497,959,587,333,386,387,553,872,400,997,951,590,
076,533,260,330,130,896,707,782,337,651,887,921,837,180,560,203,479,117,117,
598,502,936,563,865,799,443,288,552,093,222,769,739,836,872,714,690,872,647,
883,042,380,452,295,650,099,928,748,758,396,032,334,706,090,088,056,351,744,
182,290,372,062,841,412,863,366,323,787,848,774,254,230,116,843,256,911,165,
340,688,922,497,822,825,172,998,355,378,769,758,135,195,877,879,119,819,453,
973,172,292,096,032,265,300,768,287,737,847,034,322,861,255,519,121,247,697,
138,406,874,083,924,457,432,138,069,672,011,696,013,047,441,784,225,952,285,
272,277,650,654,172,440,211,183,866,652,974,646,548,130,807,877,886,292,684,
274,918,641,730,381,104,352,673,787,508,631,660,656,656,086,321,093,195,954,
218,981,724,111,703,278,330,365,823,879,458,925,075,065,518,903,197,714,979,
089,642,482,652,801,522,686,214,004,262,349,968,388,718,660,032,051,331,323,
008,100,623,323,436,340,957,573,330,969,371,668,134,693,348,494,908,453,340,
234,003,590,150,715,562,592,208,249,141,472,385,678,794,889,179,716,512,860,
205,358,559,147,460,651,477,862,989,786,109,155,551,803,490,937,967,800,489,
056,225,919,448,532,239,449,774,281,532,072,290,171,199,856,357,359,375,953,
544,138,688,179,973,862,410,874,948,026,340,667,735,790,569,902,374,292,374,
697,062,968,268,854,797,053,559,089,669,793,114,784,296,574,245,719,096,344,
450,386,034,328,512,810,803,713,325,402,477,793,308,689,823,790,430,066,379,
150,042,713,799,101,200,870,681,584,208,733,376,680,609,555,594,500,343,872,
366,916,129,960,790,523,951,902,655,182,726,700,169,350,369,769,269,741,556,
760,376,715,169,779,410,044,037,380,743,557,291,220,381,057,420,219,656,386,
304,333,403,321,817,020,720,125,577,887,340,412,145,500,596,157,695,103,463,
516,773,036,179,351,032,541,770,323,909,715,156,466,831,644,066,647,861,557,
717,785,392,384,727,579,540,883,427,187,268,081,773,360,560,368,793,803,768,
099,710,479,081,583,600,869,369,718,227,542,150,389,526,976,640,933,352,214,
901,345,960,130,927,970,726,958,505,124,742,907,094,119,864,676,618,186,476,
224,294,027,068,380,883,611,622,044,222,050,901,378,727,342,324,745,718,518,
701,837,841,186,914,100,437,422,696,714,507,454,132,561,457,144,178,096,180,
577,036,651,300,853,591,276,312,687,843,635,374,106,878,461,562,181,193,221,
406,227,382,048,806,083,142,683,753,025,971,078,636,212,906,828,165,832,182,
171,366,876,379,405,080,691,996,830,782,726,534,071,920,293,517,596,604,038,
360,882,648,018,945,687,785,175,834,704,813,955,129,699,002,716,588,173,332,
581,420,165,375,566,737,486,119,467,241,439,063,687,329,714,478,971,485,626,
088,331,926,292,442,989,792,534,901,113,278,252,490,955,099,157,633,777,990,
020,488,601,141,549,111,188,661,950,208,250,294,797,519,414,380,673,360,180,
389,956,146,596,851,000,141,604,603,185,557,307,726,224,338,138,099,476,777,
024,345,159,803,375,012,997,408,424,966,364,566,042,434,660,249,373,757,203,
276,138,390,093,879,887,993,584,854,030,380,064,392,344,868,633,417,880,234,
018,119,365,223,242,171,628,586,171,117,393,776,067,325,036,362,593,738,477,
216,021,719,571,056,529,421,133,233,278,831,390,404,606,013,974,316,729,574,
815,691,273,356,799,688,460,106,145,249,765,831,478,461,719,704,580,441,094,
219,379,178,115,637,249,763,293,913,334,475,953,290,295,873,740,455,085,905,
575,238,715,757,148,261,927,347,265,223,577,332,009,594,587,933,957,146,967,
132,717,274,789,574,482,217,860,511,851,889,407,919,604,583,816,349,085,066,
749,573,213,245,229,107,834,696,335,522,293,778,577,832,553,671,507,869,034,
341,165,218,830,053,169,305,537,567,906,704,952,573,570,045,007,487,832,330,
018,925,780,018,982,741,754,676,253,883,547,262,942,813,102,672,480,289,324,
760,242,365,475,128,753,303,590,693,030,796,719,432,185,788,778,454,426,718,
194,985,692,875,903,706,731,004,625,808,164,554,480,897,581,944,550,666,658,
139,041,642,312,496,173,072,561,759,967,127,462,904,725,244,458,631,592,264,
549,786,586,659,164,319,328,567,561,844,549,809,381,897,581,370,911,292,961,
539,768,695,384,284,467,557,409,170,629,263,960,355,510,368,162,569,509,379,
884,995,461,899,425,884,527,069,732,419,828,066,986,255,584,735,820,096,365,
128,173,291,691,830,703,626,445,704,957,488,151,797,271,974,973,882,384,299,
303,576,680,745,850,093,558,312,478,373,913,628,091,693,706,976,334,001,969,
452,631,577,095,701,324,203,033,490,716,423,808,977,406,644,001,310,067,303,
602,920,888,080,286,606,940,932,229,682,727,546,314,994,512,593,057,426,506,
958,070,629,294,178,034,029,981,864,254,824,040,046,468,994,180,905,745,017,
644,800,698,894,313,618,384,433,100,623,787,813,351,660,107,131,403,559,682,
360,872,336,805,785,628,669,148,313,693,316,871,554,795,080,085,939,982,232,
372,832,305,428,787,059,396,547,166,253,356,658,279,316,010,478,131,847,460,
277,881,521,907,672,469,380,656,616,636,395,601,459,898,674,348,187,237,806,
170,826,690,274,041,051,313,629,360,130,137,285,467,094,361,202,952,212,529,
876,286,279,982,790,353,563,087,695,776,499,766,927,731,508,284,696,836,113,
670,295,237,805,421,519,542,624,602,015,718,500,256,550,104,463,018,211,746,
351,505,313,771,707,052,525,527,014,515,906,304,458,244,731,841,699,309,990,
404,528,746,053,900,198,899,542,242,997,218,709,634,401,967,682,879,729,126,
499,945,629,596,003,740,009,713,774,599,876,562,116,564,811,713,210,455,422,
287,991,082,782,131,412,776,801,561,754,224,522,867,056,948,539,723,891,890,
598,720,532,543,145,126,175,846,932,031,125,140,856,656,307,084,145,486,586,
361,879,014,858,845,131,918,712,916,574,083,469,479,880,805,311,655,282,795,
194,214,789,697,954,400,571,400,201,534,406,244,848,887,397,003,859,318,666,
669,144,783,638,775,083,959,200,362,081,597,916,222,575,843,816,253,107,286,
064,827,673,140,851,564,023,623,034,700,663,954,375,651,265,910,350,306,178,
734,279,213,872,971,372,077,204,284,573,692,314,293,970,153,620,491,262,146,
553,654,977,838,625,586,326,645,062,913,082,735,470,774,546,761,632,485,547,
464,053,829,583,081,820,525,729,195,826,415,995,510,690,584,342,988,472,861,
185,124,546,708,406,648,983,017,217,555,323,773,435,308,784,826,834,787,878,
956,126,033,308,884,692,321,878,268,828,594,374,342,034,248,139,476,632,235,
593,454,875,497,547,016,690,463,956,165,089,798,444,600,619,001,105,978,756,
560,675,817,403,278,256,841,017,053,950,644,494,723,450,678,602,197,786,500,
579,719,770,708,984,618,044,034,751,188,612,634,418,591,171,920,531,803,027,
840,486,106,301,530,769,740,558,541,161,229,161,384,839,475,568,629,616,926,
706,509,641,875,604,468,184,463,598,173,336,490,961,946,724,794,499,840,486,
141,780,221,904,909,079,505,590,177,348,445,712,103,730,902,657,358,147,932,
380,663,297,252,996,141,166,627,084,578,787,202,534,112,816,599,599,695,611,
508,052,011,301,469,273,405,035,281,656,286,067,621,145,754,361,631,315,708,
385,112,283,317,029,038,101,303,870,370,290,285,029,889,976,895,927,793,778,
584,555,647,331,972,764,842,231,285,556,598,651,898,729,783,761,912,230,057,
810,669,581,730,545,935,400,822,619,849,740,360,891,507,942,130,663,324,644,
681,054,820,988,414,681,052,940,921,205,514,768,695,466,965,035,340,463,087,
252,192,206,918,665,356,799,444,580,345,545,930,102,980,519,558,151,085,561,
705,498,801,025,224,517,418,413,428,934,935,376,352,056,301,770,105,274,823,
072,308,106,349,395,708,870,126,695,172,158,202,075,109,300,326,584,041,717,
228,017,433,602,305,598,617,151,456,437,891,965,056,220,742,285,493,643,143,
168,089,476,418,608,130,584,611,193,771,066,195,413,049,656,231,158,289,509,
171,367,988,864,919,023,173,116,039,810,595,018,367,056,180,740,557,753,283,
197,898,343,377,002,527,748,364,974,179,628,562,305,706,830,637,190,219,967,
893,272,873,414,406,557,692,464,561,322,281,293,194,084,547,893,967,528,213,
195,842,569,754,195,080,289,912,395,874,965,689,937,042,176,468,409,965,739,
675,584,042,011,767,986,809,123,576,840,869,615,315,719,041,935,984,476,080,
493,854,447,515,691,894,207,711,916,397,001,178,375,744,552,645,230,190,952,
911,115,271,296,650,362,490,799,468,468,091,925,352,465,677,299,478,068,472,
371,481,917,894,261,732,045,137,859,535,796,793,223,063,387,572,290,528,007,
031,633,635,429,635,857,903,043,593,454,221,506,885,808,594,745,491,403,887,
728,238,709,312,898,533,554,236,078,317,833,039,486,321,655,767,849,676,934,
531,119,066,601,211,864,907,531,474,614,746,089,880,901,795,193,690,880,573,
511,385,348,291,918,591,127,243,263,889,996,381,443,870,918,540,540,664,342,
968,826,284,889,814,816,988,582,541,258,347,201,391,827,834,311,754,211,366,
581,622,073,541,897,748,374,536,240,411,677,949,991,245,912,187,276,382,701,
608,987,314,299,438,179,771,231,934,138,052,061,690,027,206,551,039,040,269,
839,462,417,077,914,156,020,249,382,666,453,093,440,494,618,363,747,891,903,
089,005,215,059,040,735,926,754,224,249,369,047,466,747,973,297,542,573,534,
292,061,995,699,291,081,614,767,513,038,486,181,647,774,796,113,376,476,954,
393,926,273,262,503,656,418,323,697,735,975,333,575,595,551,151,268,707,461,
470,241,000,935,457,573,954,957,623,359,448,651,129,348,760,472,244,230,192,
495,500,713,869,750,525,192,537,505,324,882,958,416,638,456,470,527,545,438,
348,354,393,953,745,108,027,323,069,335,097,023,965,183,070,225,274,349,432,
587,335,935,821,786,069,299,585,437,784,558,031,629,239,140,877,306,013,193,
114,356,655,288,731,874,609,530,146,495,995,264,121,218,761,196,485,844,601,
797,714,430,067,870,181,936,750,237,976,972,268,907,960,392,858,904,481,330,
266,899,381,905,334,141,065,207,654,813,647,337,446,150,534,367,020,730,392,
208,879,224,806,527,430,743,767,289,172,439,479,247,941,308,474,966,494,614,
855,679,333,733,606,949,591,480,569,371,411,727,902,956,785,676,078,716,449,
441,184,463,575,804,376,609,192,945,024,579,918,428,984,653,217,682,034,158,
802,318,515,307,853,598,310,846,127,715,912,850,983,793,083,790,324,607,759,
381,402,217,606,879,348,275,590,638,608,206,953,244,612,211,561,603,369,784,
441,107,225,421,405,612,050,853,638,794,283,601,024,116,186,115,059,580,958,
259,920,708,519,277,464,189,171,818,445,314,560,577,252,974,601,088,677,927,
227,486,105,903,937,637,576,427,055,678,117,874,166,499,223,972,260,593,434,
038,620,014,991,487,490,494,283,008,824,038,200,200,016,471,073,399,025,579,
479,747,090,203,783,422,387,329,585,945,100,036,761,543,230,190,251,448,375,
451,130,811,474,662,488,639,622,559,978,731,373,259,463,665,602,080,953,330,
507,805,950,444,952,646,115,480,311,783,924,530,282,851,049,952,477,047,712,
429,250,940,032,947,010,889,368,776,903,158,526,454,679,203,806,889,052,731,
259,947,947,179,134,371,370,525,225,499,479,139,413,301,721,530,136,639,558,
121,252,404,892,309,456,012,980,311,733,865,069,785,084,105,049,187,535,513,
507,366,559,193,065,390,715,508,955,856,535,915,879,338,433,781,008,963,262,
278,172,247,886,811,858,257,181,625,166,032,636,141,335,164,154,734,782,653,
400,559,835,025,565,584,892,591,502,933,907,771,972,337,052,625,449,589,188,
255,511,568,109,912,766,817,207,743,523,545,852,243,438,467,461,096,252,546,
894,607,423,874,947,155,379,472,214,336,306,587,710,112,984,290,998,539,740,
607,426,298,962,870,840,516,107,946,265,270,344,080,296,192,250,588,293,123,
094,710,452,796,592,458,858,241,700,048,977,469,136,734,920,084,762,364,462,
554,838,891,674,042,708,740,079,611,514,940,462,420,107,213,078,998,836,582,
990,606,227,429,686,876,824,000,615,635,066,754,508,211,417,906,015,084,654,
081,392,280,003,349,023,198,627,554,997,465,843,608,122,129,483,637,225,600,
433,891,006,041,917,296,695,393,743,168,022,557,536,780,145,459,040,111,513,
259,916,328,517,420,375,472,366,273,464,303,007,153,573,450,367,237,127,982,
572,933,748,273,125,124,243,241,248,446,049,919,648,343,544,132,477,998,697,
337,566,910,078,909,621,611,327,027,694,367,205,439,044,552,193,400,057,759,
778,455,959,283,391,961,560,847,972,416,576,009,480,398,607,321,475,606,559,
766,403,553,927,568,943,262,563,028,541,625,845,536,935,410,006,282,140,807,
305,034,362,454,080,905,451,982,725,176,569,111,241,119,064,626,211,268,775,
051,608,162,770,819,254,361,193,228,743,105,319,625,190,003,944,281,989,923,
000,132,607,648,721,862,866,835,400,027,288,881,723,770,590,735,611,044,412,
895,194,145,759,474,770,742,185,949,673,372,098,717,301,202,796,066,183,724,
682,767,075,829,239,861,674,906,234,599,605,309,073,887,051,067,299,264,837,
646,215,342,154,873,390,179,965,985,987,648,919,594,114,537,870,238,422,450,
529,232,988,451,711,798,344,516,955,005,111,472,013,849,417,603,129,951,213,
543,344,809,710,195,742,827,398,621,075,663,815,087,102,864,869,470,981,935,
572,139,395,599,086,957,916,704,307,644,592,411,141,048,543,405,931,618,876,
435,505,515,458,332,786,185,438,636,495,864,297,566,227,637,188,515,450,704,
005,774,219,910,572,878,361,898,228,014,858,975,734,135,905,431,299,110,411,
456,759,349,565,223,177,770,757,944,471,874,901,591,486,352,159,682,505,870,
001,444,270,613,374,672,521,582,087,248,305,562,687,606,638,750,564,801,805,
870,207,147,957,877,387,005,489,915,887,320,305,424,896,401,082,608,825,537,
543,906,972,839,178,323,242,088,984,943,525,267,653,276,652,523,264,017,406,
764,486,281,239,372,275,291,546,527,812,088,126,420,424,416,616,994,585,371,
296,488,228,303,072,553,862,315,568,092,387,363,639,930,026,266,505,944,611,
041,661,174,512,628,942,879,425,992,139,773,406,698,671,686,193,415,814,330,
870,565,353,522,228,380,279,266,831,445,052,532,100,132,977,587,638,724,955,
712,113,893,910,557,024,761,360,902,083,017,383,472,918,684,978,776,254,731,
478,316,487,795,496,411,322,677,703,476,048,345,401,995,119,147,899,546,035,
663,906,640,629,963,941,203,632,821,509,047,401,751,412,387,262,366,106,142,
038,044,482,550,860,433,207,360,073,187,182,579,811,903,715,260,196,258,399,
329,983,086,057,743,423,590,991,934,261,161,798,634,517,881,903,031,692,935,
636,350,432,789,709,456,333,625,658,390,583,240,169,273,716,999,475,872,415,
755,938,099,272,458,683,071,586,720,136,701,724,765,113,628,879,244,218,118,
633,706,451,582,116,986,049,836,598,845,198,480,858,368,662,043,603,262,208,
739,553,308,276,233,561,762,518,220,425,218,400,748,270,054,327,127,145,527,
739,678,563,140,819,411,374,234,312,015,468,085,749,605,029,963,614,336,483,
306,131,117,168,939,371,894,071,237,198,967,539,518,690,798,314,635,754,679,
796,570,400,430,539,387,703,432,785,300,884,207,744,039,195,927,098,102,750,
203,129,214,305,376,430,940,981,631,152,037,778,359,069,130,710,653,495,725,
318,997,567,756,777,781,949,180,309,364,486,151,948,595,029,256,620,380,410,
248,718,443,041,723,926,363,814,630,573,055,763,324,221,997,731,223,630,660,
623,617,349,065,098,065,577,757,156,986,300,471,700,497,972,232,664,217,499,
460,709,426,488,707,823,916,900,954,648,631,135,647,700,756,878,927,304,708,
276,100,575,255,465,234,215,912,038,779,960,159,058,850,526,996,449,986,632,
560,380,939,714,221,152,087,543,998,198,849,940,657,106,596,203,066,123,943,
690,862,856,968,591,892,558,697,068,503,094,245,395,633,459,375,917,213,197,
901,594,466,446,786,780,318,243,046,043,978,228,668,094,212,236,828,244,698,
834,069,413,853,924,073,599,095,812,551,477,735,272,434,570,329,471,100,577,
045,530,444,330,899,545,822,810,410,383,989,136,244,417,500,311,082,634,167,
661,359,786,801,982,827,365,152,731,879,042,481,606,231,097,640,110,988,313,
725,415,761,924,430,104,096,855,350,487,650,626,206,745,227,441,133,087,908,
339,008,208,061,823,185,192,120,766,084,313,144,702,213,308,256,027,579,072,
013,676,594,705,062,831,428,039,869,389,127,319,305,730,862,815,531,198,621,
583,170,978,540,795,333,874,583,909,782,656,436,884,349,082,652,476,722,519,
484,246,847,545,796,351,844,427,959,910,863,492,875,279,384,405,557,546,806,
857,176,901,246,492,659,262,503,726,893,137,062,835,795,319,805,234,182,944,
967,597,678,078,412,059,734,026,235,434,627,380,356,648,587,743,706,512,500,
606,962,313,293,165,065,218,983,590,876,616,193,604,734,303,248,266,808,570,
707,117,444,656,549,220,820,004,969,613,159,535,315,775,224,172,894,079,496,
644,660,362,896,385,850,409,096,174,607,590,180,126,973,330,477,995,185,128,
170,146,648,940,543,517,229,134,522,059,968,917,548,282,514,357,122,786,400,
065,485,659,715,955,848,560,408,794,761,122,670,239,059,205,682,550,766,730,
473,571,956,662,746,550,023,313,019,257,893,250,518,340,460,874,565,383,765,
864,085,674,338,696,630,336,014,077,828,980,276,612,334,909,847,571,987,007,
391,801,349,939,054,822,207,287,989,558,912,803,430,260,803,576,108,597,455,
113,568,309,546,668,200,609,296,587,126,185,274,389,128,820,508,535,868,672,
407,493,953,762,583,896,255,004,357,395,545,741,507,618,185,969,007,217,109,
700,029,586,906,970,147,863,418,453,645,794,735,104,163,613,641,302,592,483,
010,461,863,391,387,426,721,046,714,991,679,237,568,379,678,380,425,507,952,
876,125,486,296,491,734,006,697,626,116,042,065,297,935,516,468,557,848,137,
509,367,240,725,628,936,818,022,252,282,809,401,773,226,775,873,292,371,775,
882,309,920,560,802,021,964,042,671,238,960,787,552,473,696,552,462,410,907,
462,827,133,696,736,462,770,245,131,723,108,186,985,322,073,701,658,436,889,
079,054,479,849,463,892,407,268,268,511,530,593,149,941,950,984,448,450,860,
719,483,849,744,260,267,457,974,810,160,274,406,106,920,281,943,610,709,450,
628,376,118,534,053,727,481,281,720,962,551,501,007,461,806,968,530,761,778,
766,309,091,314,033,082,183,961,009,434,214,227,692,815,460,899,614,632,844,
440,846,103,003,792,598,805,000,689,907,862,286,353,795,751,388,743,471,628,
456,063,839,059,328,816,974,933,063,177,153,874,992,773,754,131,076,246,119,
758,509,196,843,771,400,154,397,432,954,126,755,801,452,817,271,262,956,170,
555,567,566,251,941,910,375,837,840,373,859,502,279,315,950,665,824,158,737,
367,366,122,491,653,612,192,531,620,884,437,688,325,985,384,280,850,306,917,
803,597,768,902,118,617,629,960,304,714,880,711,482,403,519,089,826,760,027,
585,376,108,974,074,626,383,368,877,885,803,721,467,979,154,150,643,699,518,
933,663,482,440,023,618,955,912,290,030,636,896,765,512,937,840,539,551,156,
325,549,410,849,755,407,247,123,787,044,966,755,513,696,939,411,031,556,822,
826,864,301,701,488,831,965,180,052,637,132,399,981,636,085,683,133,531,553,
568,583,028,821,127,644,784,475,421,629,974,642,104,081,575,105,101,632,591,
000,910,809,520,332,837,512,342,211,511,185,620,695,509,691,754,145,299,815,
574,546,702,135,614,780,089,425,709,204,471,431,057,354,777,417,629,824,616,
026,980,340,353,393,518,017,294,235,581,762,351,801,276,548,677,761,058,879,
929,198,889,912,615,407,691,965,626,039,983,524,565,667,071,735,577,303,158,
230,588,103,930,687,345,946,159,683,295,031,269,232,800,163,739,906,792,081,
264,843,312,163,036,754,200,675,232,290,118,200,549,128,468,071,254,173,422,
291,006,269,677,675,527,519,945,972,731,725,127,586,263,607,360,161,321,005,
552,121,671,166,583,112,773,295,528,415,690,857,233,753,849,831,388,822,669,
971,732,525,867,200,669,986,719,536,887,630,639,559,172,221,497,279,896,505,
697,633,230,110,958,950,124,366,413,097,986,798,501,741,506,407,237,166,321,
426,601,584,569,577,869,602,423,980,416,097,233,929,100,577,018,772,041,607,
050,338,673,082,837,245,666,293,759,997,412,042,109,689,601,273,474,042,915,
522,781,031,140,651,742,086,378,078,221,025,508,268,499,526,491,148,593,747,
542,934,552,831,314,485,292,709,581,466,131,168,663,037,698,689,009,274,024,
247,177,120,849,043,208,857,445,316,700,794,724,375,508,390,428,841,966,860,
154,896,787,674,526,251,498,994,518,337,199,525,734,248,527,278,788,435,132,
511,011,402,381,057,024,661,862,228,104,049,873,004,730,534,992,469,804,466,
135,251,362,390,342,173,679,854,928,492,160,409,159,023,501,257,249,133,128,
797,236,683,441,110,830,203,534,263,297,053,577,175,846,571,347,301,044,470,
159,183,572,302,423,579,893,544,880,716,682,712,095,398,961,312,043,458,512,
941,591,353,241,570,467,135,530,113,755,889,933,797,433,052,206,950,634,299,
880,937,465,126,643,435,543,425,923,447,709,955,694,353,018,723,353,672,444,
911,426,417,148,198,221,273,983,643,076,499,317,872,433,550,735,094,774,631,
713,050,604,914,561,575,161,052,272,056,768,723,174,374,943,493,286,937,660,
730,846,333,229,634,261,367,206,103,313,062,943,123,136,686,354,273,423,509,
687,553,427,725,147,439,264,523,139,530,482,820,581,892,683,185,573,366,572,
936,499,008,207,988,314,091,240,631,284,592,948,670,545,979,879,401,431,522,
779,882,122,541,004,534,621,426,701,393,298,562,934,342,649,609,247,137,146,
754,467,497,586,357,478,722,520,580,438,404,203,403,375,266,346,370,285,493,
100,702,082,411,894,465,951,868,908,760,329,271,168,076,711,993,948,862,940,
812,039,802,533,664,325,152,926,214,682,491,960,241,249,569,290,208,522,529,
776,866,549,189,900,424,822,038,004,926,888,961,506,749,919,428,076,652,411,
236,066,460,300,098,619,750,416,534,346,328,498,084,600,306,975,651,086,522,
671,729,294,233,098,021,961,077,660,344,132,896,500,153,718,098,406,834,637,
448,351,735,284,567,913,965,911,913,282,182,384,648,008,240,675,051,303,930,
575,020,253,375,365,767,753,351,137,757,119,741,458,617,964,276,456,678,983,
307,768,126,064,943,315,831,538,184,897,926,249,217,282,943,747,826,462,748,
521,498,631,727,821,923,191,458,366,926,728,944,090,964,013,942,837,802,751,
145,051,763,795,952,292,040,363,362,349,794,345,353,238,459,242,377,327,563,
283,869,941,400,869,006,813,995,126,654,946,398,623,732,583,540,707,766,121,
441,534,827,059,211,101,559,441,304,522,111,578,058,676,352,942,440,175,041,
250,834,728,370,156,272,977,391,051,187,094,430,391,059,011,198,200,687,538,
812,290,253,303,335,860,356,501,220,463,187,939,504,054,255,430,321,035,613,
245,169,611,374,435,251,035,929,985,809,024,797,305,575,082,528,611,312,579,
369,795,621,943,607,424,321,925,096,827,649,820,161,439,711,275,737,122,390,
189,890,442,448,522,894,664,624,983,663,956,864,424,137,201,150,933,379,141,
225,215,247,239,998,334,252,280,879,250,869,288,181,602,980,485,384,903,671,
591,528,103,181,103,096,903,220,072,734,161,921,212,586,674,251,499,403,714,
899,209,103,451,785,872,285,077,801,616,697,672,282,944,382,906,441,151,600,
235,734,158,285,981,886,614,553,824,940,438,760,522,291,031,380,317,507,871,
192,535,192,274,475,113,334,851,430,718,053,037,562,754,729,174,680,823,922,
435,510,261,734,587,631,989,747,678,062,622,560,764,148,671,978,787,157,246,
779,986,232,671,828,368,920,019,807,609,002,944,959,551,585,955,004,097,372,
774,645,095,912,999,170,614,980,173,365,661,252,180,874,191,632,553,726,849,
335,339,921,525,830,925,724,227,647,012,526,104,021,850,746,142,514,512,822,
107,217,874,282,470,013,493,740,820,798,100,198,726,466,657,834,137,894,038,
165,755,494,439,045,099,288,293,149,704,172,268,964,564,719,439,501,545,993,
292,757,911,425,773,599,083,141,088,061,560,866,480,655,651,096,489,884,529,
698,679,538,726,658,650,643,726,611,987,493,637,549,657,049,174,366,321,209,
540,627,922,798,661,983,211,179,295,182,519,880,446,427,706,174,205,976,879,
833,289,010,465,152,623,740,185,227,499,103,596,901,839,240,931,667,082,013,
546,596,413,677,898,630,725,036,204,107,407,896,179,419,951,469,527,164,003,
480,702,560,717,109,822,877,204,498,014,881,362,594,205,309,344,893,098,737,
098,298,353,026,711,275,548,248,836,391,875,965,967,127,388,668,429,803,340,
749,901,522,399,379,165,296,222,940,866,092,137,337,121,422,099,650,619,787,
927,704,777,777,660,814,023,944,794,603,001,834,984,458,154,304,475,808,227,
011,762,111,775,316,463,438,012,975,777,868,375,247,274,694,559,989,864,907,
767,387,109,034,041,274,019,999,668,517,531,679,341,094,073,937,448,691,629,
928,468,891,849,004,014,700,455,538,817,623,750,542,020,699,341,818,501,715,
368,487,763,761,620,479,757,505,522,628,134,495,628,055,926,179,644,994,124,
823,763,326,418,350,726,510,672,471,334,913,314,710,390,969,458,412,764,774,
455,578,603,744,603,333,454,268,353,552,727,643,144,085,090,609,605,343,844,
785,745,572,510,279,459,968,905,057,509,526,413,282,858,829,181,995,891,090,
496,465,099,341,139,976,635,649,798,144,224,342,642,039,899,394,621,980,547,
742,241,289,213,596,917,735,942,465,552,118,180,334,974,211,694,158,334,962,
804,210,446,177,588,653,145,151,824,232,257,551,552,501,703,303,175,544,346,
832,412,189,630,479,442,607,869,021,020,950,588,462,634,067,049,143,360,546,
390,007,846,626,913,320,857,103,717,600,719,149,192,544,035,655,824,458,572,
935,406,231,908,324,775,023,318,559,638,887,806,360,506,946,455,292,337,702,
014,516,131,131,285,360,190,461,160,903,854,643,271,873,001,940,250,902,888,
994,438,649,677,651,722,996,932,955,123,122,164,458,490,373,864,423,371,842,
353,213,448,301,172,223,357,142,327,083,643,517,166,382,986,397,724,966,958,
795,344,153,078,663,066,310,462,006,911,340,789,207,636,972,018,402,295,705,
998,344,042,801,082,983,078,222,547,748,949,857,687,537,250,608,143,605,570,
551,357,435,454,856,720,681,048,293,822,815,838,750,282,626,842,718,722,837,
704,364,452,086,962,489,944,163,291,923,418,837,948,401,391,894,307,264,609,
599,969,434,952,433,673,376,875,962,918,786,201,965,466,747,881,958,487,386,
695,821,730,379,507,778,377,693,289,743,865,561,677,076,523,663,110,599,601,
408,407,475,055,007,497,780,370,240,840,274,290,061,097,797,873,722,102,546,
455,582,592,560,738,008,435,180,871,377,561,529,497,901,185,091,837,495,129,
667,772,600,180,549,599,902,335,065,439,072,810,827,594,648,723,210,602,069,
661,850,085,884,665,841,991,043,217,948,146,481,778,799,447,150,704,643,271,
926,520,713,002,204,506,673,972,233,419,457,367,976,891,914,235,281,419,674,
695,321,162,991,499,543,310,821,273,258,889,050,563,183,050,009,521,030,083,
225,240,824,010,765,547,364,423,597,069,360,721,160,898,059,449,129,120,264,
904,562,337,119,467,324,403,691,450,341,286,773,175,387,183,536,028,966,531,
019,329,083,747,895,384,317,573,173,904,008,768,511,721,145,234,272,612,849,
040,168,228,004,627,043,742,345,252,849,269,823,817,441,849,096,718,401,668,
645,069,249,199,316,669,702,516,331,640,913,313,333,627,536,334,024,981,054,
164,344,887,518,348,287,421,592,362,173,137,499,443,032,306,530,643,791,230,
487,794,171,602,527,425,171,890,202,200,732,819,371,799,861,192,081,792,950,
382,140,543,116,537,254,074,085,375,160,364,329,879,860,711,514,937,564,546,
648,005,620,278,251,431,102,842,719,741,368,036,766,198,916,429,088,881,078,
504,471,390,594,064,335,163,755,035,912,704,416,445,971,638,644,499,961,300,
867,434,396,750,137,416,876,082,753,192,196,694,340,030,396,133,362,653,880,
322,851,303,243,556,324,562,761,554,366,568,443,802,944,417,316,939,487,951,
685,445,056,280,264,310,341,470,410,781,617,043,948,512,880,958,030,829,787,
454,172,521,546,744,234,186,174,818,859,439,832,598,646,483,915,589,796,370,
174,712,025,836,638,041,425,051,309,114,830,883,310,836,228,196,650,286,364,
695,851,542,300,908,252,092,845,496,404,322,319,078,569,009,651,613,570,227,
431,770,908,094,589,967,336,924,273,460,057,731,822,448,786,937,640,543,147,
751,410,945,740,811,914,529,969,809,628,982,284,003,584,169,193,825,980,526,
823,422,412,327,521,311,150,228,321,147,416,644,280,499,433,284,245,232,014,
635,103,878,713,039,305,081,826,680,114,580,150,052,869,418,814,063,580,957,
028,149,898,259,517,433,305,759,126,493,122,758,331,663,124,540,493,688,193,
917,270,288,426,074,913,320,405,433,813,340,348,449,890,333,651,454,100,039,
222,561,405,679,908,240,646,410,835,585,752,684,284,277,848,518,652,878,130,
616,285,451,592,865,121,182,179,567,053,831,817,946,718,763,132,761,963,431,
724,839,994,481,170,252,058,908,872,358,088,931,847,678,987,471,689,145,412,
482,383,012,306,879,578,713,370,983,806,529,342,474,772,298,586,277,175,890,
286,266,468,676,162,247,595,795,255,183,491,852,032,886,784,200,776,234,569,
978,622,965,536,107,630,758,532,361,424,013,295,044,036,341,775,627,884,713,
818,067,527,364,521,943,594,774,512,737,278,480,995,519,338,123,690,541,123,
114,781,138,187,885,775,839,567,520,982,403,729,417,531,874,285,406,675,560,
906,699,413,058,771,046,373,789,976,638,676,567,689,210,998,024,552,258,571,
893,493,954,419,033,140,597,535,419,797,374,169,257,252,153,316,443,763,482,
242,086,153,940,587,484,915,222,062,111,545,968,483,140,464,069,229,785,073,
341,846,172,860,972,163,772,444,498,941,029,602,267,092,933,867,075,704,870,
016,413,576,428,384,871,440,681,790,396,722,366,660,546,787,689,797,735,191,
884,584,235,259,852,847,234,051,809,529,351,981,832,492,485,138,859,490,387,
916,867,442,362,916,645,485,001,267,091,916,957,051,245,399,260,417,568,725,
089,067,884,219,686,664,302,622,107,780,315,931,196,934,584,607,724,545,680,
273,178,991,835,508,396,388,828,180,624,120,516,349,243,024,157,002,290,412,
209,896,642,528,524,364,660,313,152,108,298,542,604,285,092,737,388,086,087,
659,888,018,552,219,121,886,942,866,889,180,641,346,477,751,241,900,086,568,
728,068,472,799,442,866,985,743,635,624,539,947,667,164,119,710,722,472,016,
825,202,034,679,308,212,086,441,113,703,762,500,686,491,986,712,363,565,169,
516,855,464,908,040,722,946,484,236,791,366,847,658,382,061,992,411,140,205,
335,132,674,409,498,620,294,102,291,884,698,222,164,275,486,790,778,081,193,
960,677,487,598,866,805,512,920,397,891,067,873,077,896,569,532,279,206,472,
755,155,196,096,431,593,617,660,562,066,737,742,735,562,122,634,496,494,022,
698,641,978,642,386,463,649,753,943,456,857,377,589,751,106,367,055,643,865,
081,009,341,640,255,825,629,798,028,059,174,077,437,052,488,780,615,820,519,
509,971,060,787,989,410,636,900,718,215,416,517,861,435,736,386,102,307,902,
825,904,051,587,355,248,461,450,555,359,474,189,206,138,613,936,623,982,055,
953,238,344,983,618,058,638,615,495,457,982,609,390,753,388,402,713,496,741,
666,796,161,779,212,878,598,525,322,247,737,875,244,686,445,069,537,825,447,
169,748,479,452,295,287,512,992,567,895,544,315,041,790,330,719,848,859,685,
045,761,606,683,302,451,417,273,163,357,276,748,279,640,696,847,819,508,378,
270,856,574,593,118,216,376,328,585,604,805,290,061,187,678,840,358,776,973,
882,497,145,960,215,721,902,744,976,591,068,394,515,187,788,643,392,692,640,
630,484,557,104,292,686,860,595,020,897,199,585,338,661,604,549,608,502,318,
647,507,187,156,333,937,772,947,835,669,354,308,633,155,989,823,313,269,617,
152,938,365,112,119,564,414,182,420,575,526,185,973,052,470,360,501,381,362,
215,645,006,384,014,125,539,724,758,625,868,748,806,585,830,636,130,360,639,
081,117,222,299,552,296,511,953,423,148,875,814,308,024,727,318,966,740,089,
361,733,767,890,919,981,291,816,504,214,228,349,390,399,751,510,108,168,478,
729,762,830,953,523,072,164,641,192,769,398,646,324,992,140,272,264,562,894,
479,531,528,654,841,838,834,973,394,184,060,223,518,920,941,299,004,779,742,
819,353,090,481,254,652,383,169,437,426,739,122,845,326,512,231,479,358,938,
111,328,078,064,237,137,939,840,132,592,996,905,305,203,706,297,931,381,733,
674,101,156,573,161,260,145,984,166,319,938,438,665,177,162,792,955,870,579,
544,144,132,585,223,691,516,432,615,435,185,168,055,644,408,296,220,775,871,
754,688,492,958,378,877,711,341,833,230,549,421,404,335,244,161,040,053,676,
112,864,403,795,540,502,129,761,276,784,864,159,935,247,250,511,100,496,378,
517,552,254,210,696,265,555,237,736,269,709,204,316,116,159,546,270,782,696,
768,030,755,158,607,454,300,084,669,108,781,129,437,199,598,654,695,381,763,
664,909,977,768,251,604,937,442,064,586,863,051,207,454,228,899,553,658,879,
121,162,589,877,830,545,083,020,220,970,593,523,536,959,506,198,725,816,137,
448,458,361,183,495,851,452,735,744,306,685,185,660,906,215,654,723,411,989,
065,061,668,365,993,046,283,671,645,063,014,444,983,328,799,441,686,448,998,
903,218,550,101,333,377,929,974,714,579,963,417,398,820,853,706,494,664,713,
884,341,176,019,211,228,135,208,888,978,993,969,215,523,759,411,063,082,355,
435,489,994,339,260,295,478,303,092,369,461,398,801,248,273,623,110,867,391,
446,087,517,776,141,311,586,032,945,898,521,616,537,577,244,968,714,352,971,
106,674,362,649,616,931,281,300,351,617,935,628,070,593,928,414,313,145,507,
115,348,669,540,597,248,781,740,943,127,404,814,559,821,303,185,404,578,987,
563,787,156,235,833,677,443,442,631,911,381,027,315,515,309,870,938,446,126,
115,175,569,353,742,767,969,073,305,554,426,607,421,363,437,681,878,683,677,
915,575,311,138,682,422,656,110,394,683,089,759,445,477,007,999,524,727,795,
933,470,375,746,790,402,412,779,647,161,013,954,049,128,316,252,042,352,064,
086,994,383,134,643,853,360,015,912,061,855,416,424,062,300,119,685,839,070,
668,641,202,331,990,370,110,208,285,533,525,373,363,202,877,903,936,165,072,
732,117,722,719,327,078,002,880,713,221,659,192,230,272,182,094,809,331,678,
375,427,185,732,041,476,748,348,091,150,382,236,442,660,885,928,576,012,234,
976,006,665,475,119,042,861,813,600,317,606,408,152,046,889,195,204,025,297,
831,524,325,175,138,801,549,893,880,378,017,039,045,688,226,454,393,905,745,
816,587,387,630,715,033,472,940,659,296,860,587,161,324,851,355,947,335,878,
509,578,360,785,044,211,434,399,866,918,753,168,745,249,146,662,519,548,721,
401,170,667,730,200,800,905,743,483,904,749,226,416,903,312,246,046,786,881,
538,116,516,838,055,662,559,596,004,454,094,262,539,269,717,854,913,914,990,
629,088,012,843,799,651,867,401,415,053,109,355,566,856,530,010,648,286,237,
326,696,190,490,098,945,133,057,039,943,680,221,985,410,646,017,946,176,125,
992,165,790,693,323,565,331,596,711,717,348,010,495,031,513,333,734,983,604,
146,932,237,669,376,515,323,338,946,212,950,061,168,670,735,628,237,552,407,
192,640,604,587,781,441,130,597,995,327,955,088,687,493,740,539,549,966,030,
655,212,426,785,783,714,661,760,637,275,519,452,233,763,303,976,228,302,678,
393,852,725,036,848,928,180,085,915,138,818,434,654,806,196,994,517,959,977,
962,696,870,186,774,935,213,862,748,315,386,068,756,689,820,878,021,741,531,
911,274,534,723,147,672,039,434,994,023,056,227,377,632,408,894,035,855,039,
942,565,275,464,076,775,473,753,754,881,892,189,253,125,128,619,218,203,581,
503,208,236,211,469,449,237,845,234,913,113,002,914,015,470,632,484,528,107,
460,253,484,226,549,591,125,286,012,096,235,091,173,140,711,909,341,981,990,
216,096,215,705,094,432,357,204,086,891,848,567,674,637,910,183,047,119,191,
580,392,054,841,152,101,490,550,960,174,673,217,199,357,315,547,677,147,812,
603,749,031,001,614,794,092,528,924,203,497,434,255,534,759,236,090,605,404,
079,926,813,648,082,500,468,437,837,588,663,771,805,409,445,903,860,215,184,
173,939,057,448,854,541,602,611,750,854,097,419,627,965,604,731,413,280,075,
360,722,211,685,120,920,036,127,930,211,931,512,523,151,756,056,891,685,829,
689,024,537,061,879,431,558,208,415,140,118,181,649,418,650,440,983,695,201,
920,419,047,691,666,826,304,705,644,036,147,509,041,705,470,052,908,995,394,
096,068,561,420,230,633,465,937,592,549,469,648,961,650,368,191,048,128,841,
344,242,285,803,638,255,947,405,417,531,229,632,144,951,922,823,578,524,273,
203,960,373,769,595,928,023,641,549,905,316,792,711,508,036,532,412,257,604,
432,920,870,789,567,723,772,221,853,088,846,855,422,526,456,924,848,991,333,
763,942,574,063,205,600,404,241,869,554,420,992,708,590,984,991,201,206,900,
450,928,043,375,829,177,686,540,300,634,675,638,291,626,245,045,432,587,491,
080,848,533,319,336,330,232,352,360,715,213,110,202,284,572,672,576,799,362,
142,540,634,431,758,847,180,065,730,179,485,236,935,192,015,401,704,869,268,
290,499,310,240,703,473,097,319,839,147,601,615,128,488,802,270,084,179,843,
800,826,371,334,363,040,961,426,600,084,099,142,405,847,021,024,971,826,501,
962,841,939,831,768,959,613,494,351,702,947,049,257,191,847,256,856,644,797,
244,172,050,916,668,191,236,595,710,514,268,462,025,422,519,331,820,131,877,
463,272,125,795,281,294,523,630,827,978,860,909,786,142,355,314,427,233,088,
174,124,573,536,204,207,718,691,839,524,493,750,505,438,091,511,407,504,833,
905,944,343,863,459,609,875,549,074,038,720,296,551,949,378,293,014,410,704,
286,387,488,115,737,729,742,748,031,529,439,058,921,274,242,687,352,185,960,
472,012,183,885,357,041,839,768,762,585,100,456,374,848,161,127,592,184,653,
186,497,497,793,585,581,634,565,735,461,279,343,624,183,271,781,008,319,323,
835,357,460,491,394,723,171,654,566,568,964,043,466,026,174,188,709,719,434,
656,914,424,183,240,774,998,854,191,284,507,035,910,371,390,428,914,862,707,
306,124,165,599,695,479,888,952,298,594,729,452,327,975,527,909,638,487,949,
013,561,133,532,755,439,335,854,107,311,526,533,140,934,964,234,601,412,366,
263,843,550,552,302,518,429,013,207,353,798,027,399,131,714,925,047,213,507,
441,109,859,428,633,741,835,643,579,325,127,427,352,378,174,321,603,219,747,
746,548,236,297,224,710,291,592,351,901,504,259,624,163,482,702,698,886,784,
558,622,367,010,994,845,416,467,911,599,688,258,093,407,082,549,707,554,908,
438,700,915,348,696,995,886,132,334,268,364,722,471,574,394,248,493,100,027,
987,176,040,896,712,101,615,497,216,769,857,635,317,589,389,481,490,010,469,
597,458,644,701,261,422,780,504,602,948,248,311,251,655,709,709,859,079,089,
663,263,038,913,377,218,130,046,992,604,178,192,022,636,310,235,559,681,246,
507,195,399,006,465,436,588,539,444,089,170,498,668,176,074,558,088,218,633,
668,414,268,771,024,832,728,860,511,766,218,965,857,120,982,317,578,816,819,
248,116,352,261,348,667,561,946,747,298,369,483,164,698,776,996,776,492,266,
812,992,381,400,288,889,020,209,825,308,097,871,613,168,680,451,151,110,953,
236,139,687,302,991,879,859,045,774,690,529,667,925,415,131,872,033,495,670,
402,990,519,125,874,842,523,249,116,898,231,872,691,427,053,719,275,563,089,
979,305,591,813,819,273,198,561,126,114,646,951,543,192,463,701,146,808,309,
713,554,595,984,813,205,841,555,550,420,342,302,700,606,655,409,848,412,161,
368,265,356,495,750,001,012,604,168,104,869,027,267,873,919,552,379,334,560,
171,421,344,807,841,348,079,147,439,604,595,993,562,167,529,235,338,605,166,
981,323,833,742,786,774,697,142,425,112,821,297,354,619,091,752,023,368,672,
505,531,923,746,604,877,930,721,197,681,928,125,218,141,196,143,265,661,261,
467,798,909,642,422,232,649,864,004,965,167,936,585,749,796,286,208,089,520,
603,058,172,983,850,004,766,502,427,255,376,202,400,818,302,149,677,434,455,
056,351,378,417,969,382,973,770,998,933,860,396,555,659,249,948,650,103,083,
250,330,083,201,857,455,457,986,429,577,269,443,443,162,097,642,966,951,600,
773,143,153,730,134,144,194,736,986,148,557,890,288,638,522,367,554,386,724,
094,236,511,903,703,488,936,400,351,752,080,807,134,657,210,685,031,871,289,
024,267,809,478,554,683,600,589,257,171,004,832,814,309,257,301,477,294,302,
020,912,270,506,413,005,040,231,017,046,148,604,015,958,011,191,133,912,840,
910,979,805,307,049,027,105,994,113,654,812,513,544,273,826,921,888,785,962,
084,958,612,741,742,736,536,084,818,797,259,069,573,994,447,117,312,837,417,
264,630,234,609,600,404,447,686,850,351,256,632,720,907,853,237,696,731,426,
516,167,749,150,284,128,558,542,514,333,501,391,890,902,552,994,356,770,767,
317,788,146,270,650,483,859,576,326,879,080,663,912,423,194,872,647,927,455,
123,060,497,988,059,352,630,846,997,372,359,151,329,090,464,721,601,920,979,
296,666,530,572,461,478,816,493,385,233,608,943,344,116,268,432,759,478,510,
500,006,880,864,495,330,426,146,327,736,324,607,211,167,357,834,085,603,514,
893,499,872,206,868,120,599,234,515,164,377,900,372,121,662,774,695,091,508,
951,522,119,496,914,527,195,661,275,126,481,294,563,628,236,480,336,971,786,
753,177,761,006,867,303,929,932,469,545,045,633,443,042,716,013,903,533,705,
230,965,579,529,670,347,581,539,187,261,460,623,343,101,023,866,988,112,712,
862,514,693,862,547,546,131,466,438,526,736,970,497,697,300,686,305,527,113,
883,704,910,953,319,293,016,028,457,008,371,940,552,395,642,706,462,048,557,
584,482,459,593,408,297,869,194,836,621,323,191,862,685,529,160,782,592,795,
625,598,179,674,343,860,673,243,808,826,582,083,153,447,499,643,832,996,565,
345,625,815,798,681,863,029,098,563,668,180,027,650,911,293,077,263,901,888,
515,590,690,307,032,944,950,864,541,357,781,613,277,804,336,145,848,382,160,
469,524,227,752,819,978,947,818,795,502,257,241,914,694,816,359,941,015,628,
085,980,460,869,517,406,016,024,220,888,935,376,595,540,770,723,488,042,108,
080,175,894,643,870,538,657,325,403,489,117,015,785,524,429,421,244,925,316,
229,200,364,271,634,589,761,195,911,341,576,807,995,022,810,633,671,439,086,
423,082,551,044,291,565,543,974,904,927,224,353,063,253,816,498,714,625,263,
190,584,996,976,305,612,310,720,087,120,739,875,698,871,276,169,923,503,309,
884,336,932,464,305,422,962,121,369,169,092,399,938,619,255,299,011,251,584,
777,023,233,291,557,152,060,780,168,093,366,669,553,107,383,119,666,494,908,
488,675,090,268,101,049,260,570,663,636,737,692,542,837,544,712,835,982,193,
161,768,682,908,458,457,534,977,509,825,703,578,641,860,096,579,269,233,023,
126,936,432,627,883,503,437,077,463,151,297,199,983,604,875,335,350,282,908,
438,085,984,153,115,968,720,621,156,288,176,728,674,552,682,779,683,884,100,
371,015,298,727,336,272,801,097,798,306,850,750,996,685,273,306,398,973,661,
961,308,931,295,504,301,112,574,190,038,602,312,866,985,075,232,684,370,599,
430,925,317,591,388,616,942,796,466,118,559,282,115,133,598,174,194,261,203,
111,875,299,469,665,694,921,760,855,351,949,999,593,535,383,812,205,608,735,
529,722,047,732,216,240,625,913,289,209,973,750,210,341,581,638,335,713,757,
327,528,864,760,934,213,183,002,908,528,725,935,180,146,403,683,187,741,860,
062,069,552,213,211,168,902,688,817,059,220,683,419,420,771,131,005,372,965,
883,096,906,385,843,948,919,433,823,057,521,244,392,104,194,605,556,449,344,
497,192,665,715,827,229,092,206,151,942,924,235,932,531,999,525,595,410,565,
038,920,544,589,025,497,608,165,587,244,289,736,667,343,341,134,651,970,698,
252,105,561,823,754,207,558,420,772,275,568,998,943,573,124,258,819,276,203,
949,898,150,944,430,404,021,097,921,968,623,400,311,163,866,261,589,356,303,
627,880,464,397,571,476,564,324,273,816,443,350,713,725,880,290,162,349,102,
301,128,673,464,685,540,464,166,733,041,952,189,212,952,263,359,733,517,661,
028,182,248,470,323,862,561,530,079,956,365,810,856,260,682,137,016,239,093,
359,856,787,585,941,625,997,793,659,584,043,808,560,266,861,197,594,063,207,
344,063,170,104,544,804,267,625,518,912,789,888,751,732,006,443,513,291,510,
682,546,777,813,692,557,432,389,377,013,358,276,675,686,602,174,571,906,048,
652,213,163,966,987,646,097,058,844,565,717,089,980,457,423,994,573,995,090,
916,542,521,581,077,282,594,178,322,088,378,497,334,064,072,184,946,729,541,
009,334,874,595,716,134,042,225,285,526,323,460,948,953,281,447,091,892,936,
993,010,196,303,570,898,581,192,980,263,126,620,179,557,238,964,869,964,009,
887,182,539,323,618,628,824,432,210,897,208,841,940,716,180,395,418,225,161,
215,162,036,693,572,102,366,251,967,242,320,664,429,553,661,055,397,239,806,
837,964,477,455,670,220,737,965,519,779,731,566,421,430,483,365,154,460,896,
562,188,783,468,501,156,247,583,840,982,672,263,408,889,327,687,898,484,655,
600,223,420,257,284,683,314,604,307,942,002,855,103,635,007,542,894,291,813,
002,141,310,319,099,888,388,662,911,343,007,714,748,892,256,691,531,330,427,
072,676,456,929,590,077,671,629,598,517,072,124,158,646,044,794,809,929,021,
207,543,134,045,133,189,042,952,709,287,865,133,433,411,948,354,871,389,327,
973,508,911,411,013,423,617,461,404,596,973,740,547,598,326,500,654,763,652,
565,653,765,161,482,384,751,881,211,420,930,212,807,944,394,652,828,347,283,
122,464,391,930,317,457,261,741,379,972,470,153,975,190,170,290,637,738,347,
956,515,650,699,225,392,333,657,419,786,846,571,160,763,044,960,245,679,512,
647,502,554,510,370,734,921,790,993,239,295,019,752,605,000,313,256,091,945,
129,581,140,939,568,845,784,072,180,956,377,350,206,684,758,573,674,193,891,
545,818,943,525,961,310,892,869,580,076,355,891,723,902,484,546,161,357,350,
971,640,501,766,441,324,636,495,155,601,210,942,486,467,868,651,408,767,008,
474,102,471,993,754,080,060,992,986,218,054,095,199,896,871,797,214,067,297,
667,262,460,218,213,124,538,844,091,912,249,529,765,278,031,410,595,306,820,
547,709,478,962,909,748,996,606,277,562,742,209,233,553,745,114,501,922,707,
850,186,890,447,614,137,150,479,890,652,426,233,345,692,486,483,912,063,092,
866,440,432,659,892,374,012,386,318,083,516,213,059,574,262,235,717,732,881,
840,256,135,087,417,815,350,280,358,827,160,378,796,183,893,720,470,292,886,
874,752,615,036,236,583,268,808,308,706,787,505,559,205,314,272,925,739,046,
198,931,163,452,052,434,647,767,060,858,963,679,316,287,455,105,617,430,704,
713,549,882,905,154,103,079,293,753,052,438,468,356,542,800,939,506,524,967,
076,438,676,354,379,398,596,363,815,459,101,625,447,820,430,956,257,736,810,
169,013,157,456,980,608,359,049,388,677,754,149,677,982,211,144,032,946,092,
420,269,036,010,646,504,203,312,258,169,896,476,996,475,725,833,424,191,472,
128,816,473,975,387,904,022,108,591,893,334,821,375,619,948,390,439,703,946,
124,528,896,884,703,703,611,317,404,826,983,054,831,938,452,698,773,352,924,
516,356,218,170,892,398,792,704,026,772,623,865,171,967,060,651,501,693,779,
452,725,469,663,033,468,031,436,365,334,235,034,714,115,396,175,952,073,654,
423,480,770,828,933,850,007,627,677,904,539,912,513,816,308,094,990,717,988,
872,384,178,448,888,186,025,956,129,365,373,716,896,441,277,527,995,472,005,
742,730,543,907,880,335,348,515,844,850,161,938,281,060,425,988,878,567,076,
783,821,652,841,832,122,063,891,970,318,983,614,835,344,350,927,713,931,636,
840,214,091,849,808,033,312,178,898,599,016,514,393,197,104,665,779,998,552,
428,076,205,435,397,780,788,996,287,352,093,251,953,224,608,472,336,711,395,
271,449,322,686,597,111,809,827,802,312,256,810,088,636,951,867,578,058,744,
924,270,279,380,400,700,589,509,414,502,353,607,242,976,095,397,457,807,287,
462,865,153,477,370,858,423,307,293,489,629,729,011,227,360,026,746,130,124,
855,694,644,392,545,452,530,186,544,894,759,003,824,705,219,585,229,015,546,
025,242,539,996,238,669,103,381,600,528,962,806,304,859,626,509,027,962,076,
793,318,512,180,895,161,265,703,768,945,673,800,362,918,008,590,349,987,435,
769,708,463,255,042,048,914,449,076,250,670,598,574,029,434,104,621,404,393,
884,354,479,177,258,013,047,551,318,053,313,823,197,276,133,727,816,241,308,
716,567,902,838,485,634,861,046,073,641,233,847,802,068,898,822,051,278,532,
736,407,357,405,697,684,598,536,174,390,520,281,041,120,160,152,668,217,316,
638,576,068,984,702,111,411,381,650,566,485,568,308,848,127,968,704,780,298,
577,069,790,065,006,294,151,663,237,790,449,620,156,762,409,610,053,392,840,
192,069,961,045,843,743,829,098,742,077,561,893,074,407,181,260,290,901,853,
539,311,986,551,229,805,721,092,114,416,776,959,051,478,685,873,465,560,138,
958,257,479,294,257,336,941,778,125,178,080,922,996,249,809,802,446,417,202,
605,819,414,310,797,018,138,756,439,040,396,785,291,286,793,573,701,416,394,
928,650,228,895,644,785,787,974,254,313,925,958,523,519,711,305,055,060,805,
423,588,401,596,597,023,748,329,710,133,870,283,102,654,498,815,845,112,231,
917,692,460,377,856,746,734,197,134,649,980,128,674,512,741,583,179,154,000,
935,228,422,522,974,071,986,943,506,364,706,346,143,850,115,152,196,472,622,
828,222,625,116,479,507,842,957,902,292,014,754,065,113,371,600,093,110,254,
280,030,611,023,583,344,862,045,019,332,972,124,090,032,849,847,489,910,009,
853,462,977,291,229,242,142,081,670,480,991,095,109,589,113,358,304,625,762,
784,499,937,693,582,401,342,092,565,491,954,717,644,000,232,066,657,652,834,
974,372,775,299,304,513,649,630,313,102,158,674,928,752,940,804,166,065,311,
987,035,899,616,160,610,331,488,715,072,487,025,361,746,543,661,002,440,374,
565,468,986,917,019,626,662,321,480,528,305,737,015,811,716,862,669,362,147,
096,829,394,790,672,273,320,961,137,297,809,507,819,243,142,300,145,991,667,
551,255,010,859,490,893,364,878,326,310,008,762,821,776,765,342,972,549,732,
783,165,869,394,661,594,030,966,669,191,572,114,444,402,331,817,637,827,876,
656,802,790,043,330,422,982,020,516,865,023,412,533,150,719,401,769,822,480,
952,215,347,643,645,694,219,938,853,895,008,479,154,961,695,520,177,846,803,
734,494,292,570,652,561,461,648,021,003,209,463,861,924,030,037,544,892,982,
506,366,753,874,019,262,990,001,400,532,507,352,294,853,345,000,015,632,369,
025,675,198,730,920,030,918,388,974,319,550,995,269,896,817,178,479,300,850,
158,812,127,348,645,730,290,860,804,481,739,307,680,031,729,432,036,676,252,
557,563,755,574,113,216,647,021,263,252,145,805,022,402,131,808,318,821,946,
032,977,405,873,668,894,757,299,127,029,850,133,344,944,456,242,011,945,845,
012,771,544,496,672,009,839,219,455,415,613,507,121,911,186,466,821,811,970,
275,526,960,351,521,528,957,309,710,252,268,023,717,884,136,612,977,917,472,
113,113,593,469,728,344,319,584,092,232,458,668,741,125,142,984,542,950,556,
574,535,316,895,772,304,319,616,882,787,482,908,138,765,664,789,892,904,259,
794,793,193,529,898,833,650,878,947,186,812,800,734,495,790,475,311,897,193,
492,827,602,366,102,454,104,248,429,494,831,341,407,560,203,788,744,383,608,
637,899,298,048,015,699,493,833,404,856,027,394,458,169,919,987,804,188,457,
355,034,904,763,615,427,015,062,434,600,950,651,024,021,736,236,148,308,404,
950,837,784,581,691,556,628,820,612,691,274,264,446,568,570,700,429,186,373,
474,392,342,028,519,779,604,725,414,062,609,744,917,384,822,793,201,023,769,
639,452,852,570,475,279,066,366,660,871,420,700,704,569,618,706,734,467,561,
292,790,904,766,639,464,377,100,032,920,471,887,040,549,458,914,650,302,554,
502,804,836,494,174,105,038,267,225,760,226,169,822,830,572,326,091,650,910,
675,277,824,916,724,376,466,884,654,062,628,127,795,718,835,698,869,669,865,
127,413,763,924,965,981,301,979,262,668,908,564,446,066,577,418,746,444,822,
319,282,634,741,758,571,415,251,203,719,346,667,506,965,051,859,236,831,434,
849,753,260,083,604,641,691,090,976,584,642,640,756,080,067,835,633,991,937,
438,257,133,426,286,024,307,016,722,035,539,314,880,603,138,352,785,691,439,
823,949,447,628,698,859,806,951,487,667,368,565,835,522,600,956,184,545,898,
593,352,110,234,932,101,501,314,471,376,996,677,659,693,608,155,728,956,153,
726,463,696,849,567,994,660,393,073,126,181,096,563,093,402,889,838,053,335,
407,524,870,351,964,026,069,581,976,152,213,310,251,858,442,266,204,603,359,
850,840,961,325,232,894,609,227,807,202,134,187,556,865,592,957,600,175,445,
836,745,750,525,297,257,261,923,742,753,762,277,043,219,822,791,310,782,499,
861,905,397,007,375,691,864,193,575,005,856,168,906,375,237,078,521,254,580,
163,726,145,086,965,706,139,451,754,749,824,831,708,771,222,872,386,330,968,
563,041,129,296,409,309,743,303,821,398,315,198,611,018,474,228,308,018,725,
222,544,367,456,667,487,623,884,110,535,266,755,874,068,843,749,582,273,651,
446,500,953,909,340,280,702,008,463,938,086,520,940,777,883,863,919,192,940,
559,684,191,090,972,360,415,437,595,691,972,543,387,535,936,478,305,495,933,
076,323,698,400,646,558,065,665,842,846,611,223,594,476,475,178,502,747,048,
134,510,962,057,093,808,496,082,665,290,996,907,740,988,179,659,087,864,894,
441,551,873,047,149,810,898,624,531,761,037,945,253,206,118,385,325,708,994,
135,602,440,919,410,525,066,336,057,444,493,661,276,680,142,269,237,932,847,
134,672,689,745,711,253,020,334,999,413,498,011,375,922,400,512,446,012,786,
888,193,065,674,149,517,356,178,610,575,099,064,150,797,018,926,414,414,935,
593,728,806,224,426,077,927,567,743,518,027,789,497,545,990,278,313,107,244,
342,504,794,728,665,272,881,875,743,863,817,854,126,586,693,593,475,792,120,
164,952,411,010,036,662,028,634,652,784,849,254,758,459,492,846,590,385,032,
111,108,497,738,311,074,335,770,483,766,190,135,200,749,428,819,359,969,450,
660,833,744,577,581,302,890,483,557,025,061,559,249,949,800,874,772,604,955,
134,906,921,680,153,999,176,821,145,690,833,459,332,508,996,195,888,541,804,
085,748,482,283,889,357,562,995,734,186,386,492,751,360,170,364,960,418,944,
863,411,063,038,977,538,461,673,288,429,505,052,213,742,030,325,468,255,666,
820,786,231,623,602,383,214,600,973,217,549,805,772,443,665,529,945,416,549,
440,711,844,312,268,545,285,619,736,314,092,728,522,771,184,317,176,655,262,
328,997,462,732,899,670,650,392,252,807,592,608,212,641,168,074,696,367,357,
949,635,669,372,906,033,927,241,665,939,556,697,032,034,603,982,888,571,178,
982,049,313,590,117,823,514,256,503,259,832,631,556,617,099,252,566,869,555,
158,652,395,722,065,067,524,217,453,916,847,225,781,375,201,680,074,668,182,
614,737,551,898,063,952,368,551,692,926,780,756,356,058,732,212,135,171,830,
892,200,026,122,064,299,402,493,694,597,098,244,466,858,469,314,415,741,669,
745,937,579,511,625,506,594,445,141,419,413,139,449,384,225,954,036,936,112,
293,890,262,792,595,544,974,409,511,536,551,795,145,408,423,727,940,405,564,
708,471,181,911,180,632,409,945,741,999,629,248,794,093,508,135,206,113,873,
299,460,026,125,581,967,263,801,265,184,098,969,899,758,737,667,427,123,033,
082,433,616,098,600,351,615,223,663,518,555,481,570,413,750,000,182,611,701,
313,941,351,010,119,993,377,662,274,887,247,137,236,588,970,388,527,212,154,
992,892,554,202,342,395,808,955,349,602,481,623,627,035,723,773,716,224,981,
478,291,070,597,298,661,878,051,873,723,731,221,501,214,882,500,707,315,778,
837,818,631,278,045,712,107,391,051,076,750,234,630,464,774,927,794,710,750,
672,725,003,407,705,062,931,234,243,058,991,410,240,069,594,535,098,389,534,
332,662,105,818,830,051,459,351,149,641,829,448,076,987,579,871,094,446,720,
887,438,789,486,738,655,747,458,464,022,525,453,994,167,150,929,641,059,231,
469,154,736,360,217,811,362,261,574,854,974,950,179,661,187,992,428,248,863,
043,944,079,140,185,420,364,666,717,485,768,409,498,088,376,275,671,597,515,
317,011,161,870,900,080,501,161,052,287,189,283,230,244,487,418,378,241,435,
198,499,720,701,188,489,500,317,588,900,415,318,489,816,156,191,388,202,328,
422,121,081,947,027,020,406,032,056,434,307,166,205,850,053,953,600,801,442,
292,697,608,023,801,963,089,628,130,496,512,023,116,129,157,508,578,835,885,
448,585,233,685,795,276,709,742,888,613,362,262,174,604,053,658,071,850,474,
755,928,485,892,361,929,018,585,215,428,961,433,921,471,411,526,815,063,736,
889,700,705,435,370,640,177,434,037,399,235,612,010,373,881,223,175,729,448,
563,798,751,033,027,192,169,567,057,133,230,999,660,324,465,940,624,102,045,
015,418,729,928,173,456,906,501,810,640,088,631,023,516,233,516,010,268,590,
691,806,005,654,292,196,439,203,528,524,917,654,392,366,268,733,005,656,751,
038,848,085,599,263,651,421,986,375,557,087,111,228,109,234,990,124,055,230,
655,528,456,269,419,404,678,099,850,450,725,833,801,136,961,148,355,476,827,
093,406,324,075,878,301,051,789,527,866,243,059,755,809,812,881,373,420,462,
775,790,075,058,666,983,942,146,091,734,620,755,756,573,610,421,913,637,403,
001,561,531,542,923,321,307,412,752,726,700,833,926,298,217,815,814,695,675,
541,307,280,089,177,177,376,600,739,341,382,243,986,142,147,960,686,157,177,
468,517,161,565,040,423,001,947,151,928,388,726,421,544,523,782,065,450,899,
328,400,875,121,035,630,242,597,537,055,051,076,166,838,040,698,652,182,212,
142,167,625,819,083,266,866,784,205,298,724,974,666,633,883,204,209,804,493,
563,208,642,895,548,625,813,457,045,792,090,140,600,384,607,066,056,001,093,
664,687,055,325,931,115,134,407,540,100,344,601,875,619,572,989,968,449,993,
400,765,171,902,359,216,953,767,646,729,022,837,827,809,447,651,696,926,256,
876,603,313,567,736,835,452,217,020,717,783,939,945,593,239,364,532,889,724,
038,402,551,773,392,251,804,099,684,571,964,518,260,236,808,285,568,129,999,
090,509,527,627,150,656,181,380,967,017,625,913,758,852,044,688,673,578,155,
442,883,112,521,164,827,537,684,790,969,922,119,746,220,763,540,377,061,976,
219,586,002,965,407,920,865,901,281,808,345,426,487,916,734,007,755,080,971,
073,403,024,925,139,932,084,105,432,625,021,848,285,920,824,711,951,228,785,
378,893,445,157,480,192,965,842,459,977,610,811,256,182,558,660,584,713,497,
267,747,835,316,979,544,827,493,701,674,191,483,206,732,791,074,194,493,808,
289,638,200,203,970,279,850,419,517,892,157,200,097,085,401,431,327,141,212,
685,769,098,049,870,435,212,295,057,887,156,986,494,838,484,653,469,726,416,
362,221,229,336,762,056,253,399,379,205,675,556,679,112,750,073,888,255,648,
973,244,277,335,795,451,616,721,872,718,229,188,915,147,547,807,715,403,379,
179,940,222,176,561,770,581,964,490,801,431,990,601,469,049,487,681,705,220,
762,600,538,293,108,926,292,042,209,481,508,351,591,762,771,556,147,512,908,
577,340,998,196,488,954,888,353,106,639,318,301,296,878,778,958,751,413,649,
306,046,986,385,166,278,840,317,511,065,436,472,788,941,598,895,245,982,469,
158,226,711,199,563,515,485,722,406,412,239,962,550,121,243,360,107,981,356,
537,836,890,542,003,965,025,213,701,788,861,705,847,679,563,373,957,460,188,
355,693,110,431,953,919,610,236,374,010,826,495,257,881,394,061,621,111,615,
529,178,701,016,041,562,774,964,345,659,869,569,953,433,860,798,862,608,799,
015,640,449,373,592,106,618,732,603,196,917,001,411,685,615,141,235,902,308,
984,849,014,717,009,705,432,447,817,899,899,752,342,733,772,172,299,723,857,
643,572,125,659,571,641,861,319,128,722,703,687,007,784,242,252,322,554,457,
283,463,907,863,618,386,296,176,223,992,363,367,094,912,718,699,233,760,890,
322,605,638,928,352,977,548,917,622,657,986,917,325,131,224,601,067,386,638,
909,262,691,618,556,202,057,389,807,982,746,107,726,006,210,799,052,246,237,
550,185,813,773,544,103,625,229,741,446,159,752,077,173,083,787,560,023,102,
450,834,421,738,916,547,521,351,352,048,047,411,056,802,522,911,267,751,292,
947,082,534,158,795,278,610,055,979,219,934,923,262,516,160,221,813,866,160,
440,154,500,132,836,255,146,463,242,178,852,227,090,488,508,466,407,806,644,
244,539,893,846,360,085,050,869,967,053,857,121,663,050,040,317,815,196,604,
926,019,540,705,989,329,073,833,967,339,129,882,483,599,241,019,936,201,823,
449,577,158,406,643,792,878,344,038,582,967,197,238,991,506,561,370,361,686,
394,270,591,811,198,345,708,132,017,973,361,761,940,730,579,935,744,313,804,
654,752,599,102,338,923,205,279,448,092,354,268,993,184,119,533,253,937,473,
147,331,353,695,160,633,177,892,757,572,162,901,687,259,225,523,838,352,021,
860,224,378,522,052,935,558,755,021,098,911,572,581,629,022,627,892,824,874,
657,441,116,303,672,874,862,020,115,995,418,212,394,359,661,350,749,711,749,
912,773,195,926,313,160,621,309,170,370,379,743,179,493,076,742,360,125,651,
778,752,058,547,134,237,291,693,776,822,197,803,610,015,822,835,112,759,582,
417,923,243,940,925,344,494,181,830,870,320,368,949,292,144,276,638,920,672,
493,051,084,585,289,949,890,283,043,740,934,667,703,813,104,100,041,208,844,
063,916,468,212,385,425,176,504,374,671,471,493,654,700,645,674,385,068,280,
040,579,209,026,245,595,989,275,311,611,325,334,508,675,024,840,273,885,203,
486,071,922,156,629,161,937,411,942,133,172,269,157,186,492,756,592,923,851,
230,722,276,777,282,931,413,344,726,577,248,288,286,132,688,328,156,803,249,
069,429,996,367,985,183,741,341,183,119,441,292,426,008,742,303,345,441,040,
977,500,468,037,569,999,865,074,192,287,721,511,016,532,804,307,579,799,690,
917,346,302,920,859,475,183,178,009,965,681,723,135,529,636,364,077,807,909,
759,145,326,068,436,981,711,141,656,250,706,585,868,070,632,697,529,942,371,
307,637,387,596,115,184,636,007,944,685,830,963,056,111,852,352,821,058,154,
745,882,505,508,064,780,108,391,421,319,077,981,300,764,449,242,643,538,809,
384,227,288,319,955,526,570,182,135,264,768,920,059,751,612,115,700,131,870,
826,164,747,482,423,184,735,911,989,295,464,260,845,469,980,989,367,068,982,
365,389,628,027,013,756,175,747,586,344,230,567,237,042,390,734,420,526,679,
728,089,236,110,800,717,551,525,298,960,624,949,283,028,128,695,327,420,125,
520,654,591,897,350,927,265,532,710,550,434,850,311,050,750,357,247,684,998,
561,232,313,353,563,508,253,032,482,152,993,029,595,902,528,352,081,763,813,
305,964,401,332,085,876,842,485,538,518,134,516,704,772,345,956,085,511,678,
356,717,136,334,737,280,320,215,957,211,305,544,879,093,476,766,270,534,281,
116,206,708,282,922,972,677,213,651,016,999,198,167,150,108,303,549,617,592,
868,145,602,778,328,416,888,982,040,890,266,709,425,527,815,607,090,715,720,
718,428,332,148,811,794,064,374,023,033,936,620,481,748,781,749,422,372,697,
220,971,920,268,314,683,571,889,808,765,112,952,150,507,083,208,220,159,109,
224,771,535,706,254,275,481,438,223,269,706,687,102,832,422,802,785,656,085,
847,438,279,112,730,042,355,618,913,646,011,981,463,631,990,931,891,681,898,
469,673,003,060,406,521,285,224,022,287,865,525,770,920,747,604,684,472,466,
623,149,985,554,343,344,030,953,135,884,351,510,450,266,993,947,917,017,348,
020,786,429,436,876,117,480,973,680,258,175,640,285,809,640,375,898,451,425,
322,231,638,840,022,728,031,531,812,049,260,444,867,092,005,971,944,263,035,
475,861,244,973,467,386,176,734,464,305,728,592,410,906,646,867,683,640,380,
629,105,277,532,434,598,717,219,821,594,261,493,358,304,971,511,572,934,818,
696,895,887,879,170,892,146,334,213,338,810,863,335,653,599,693,832,527,574,
020,237,128,988,604,182,977,127,510,478,048,792,685,021,714,801,036,061,611,
566,595,491,118,006,591,768,295,173,566,834,469,554,394,796,808,046,367,192,
717,926,323,353,283,761,165,232,649,896,477,370,815,797,064,670,724,396,764,
378,696,155,367,620,058,452,361,336,970,897,554,995,062,675,362,593,832,870,
522,499,236,984,305,738,871,836,745,430,810,880,940,238,629,692,901,677,288,
948,608,735,118,907,507,691,652,543,984,304,926,219,897,922,395,638,144,625,
594,434,165,837,036,711,449,985,644,155,899,592,403,082,460,978,311,133,707,
941,521,664,812,784,618,777,836,266,120,529,438,784,530,381,010,523,461,521,
103,756,048,860,860,262,075,749,347,858,838,698,154,362,385,989,267,229,992,
697,114,570,327,082,684,230,878,422,886,192,331,634,894,702,230,404,388,577,
409,568,692,037,201,408,575,595,854,662,006,764,417,637,574,580,668,859,011,
865,054,752,063,374,475,983,216,945,874,217,391,458,460,791,403,885,668,437,
737,553,118,018,583,595,096,087,709,045,429,199,195,241,035,589,453,368,857,
354,803,241,633,377,965,400,535,220,705,343,706,958,107,506,043,664,372,201,
965,101,458,854,932,188,325,240,180,749,097,835,755,563,138,565,445,559,646,
098,222,509,488,427,023,449,536,991,143,080,901,225,213,488,677,584,315,470,
477,122,142,519,592,665,480,758,239,172,161,939,222,277,344,795,053,836,210,
353,342,453,899,263,072,005,096,222,663,232,353,122,779,548,307,833,440,313,
323,946,889,993,549,358,906,969,233,432,648,008,099,871,303,361,205,018,574,
851,292,854,790,324,896,334,054,972,667,233,962,735,775,769,572,268,888,050,
595,045,021,121,278,093,793,702,299,559,419,952,160,965,796,532,327,553,446,
792,913,228,092,478,192,617,995,261,701,080,106,800,350,612,930,485,975,155,
426,268,038,285,011,513,833,968,100,868,448,394,022,261,612,464,456,335,392,
530,128,067,621,095,905,674,780,473,965,322,145,549,893,965,878,794,656,380,
081,710,652,999,619,501,740,644,737,959,455,327,259,749,278,977,397,267,327,
048,522,977,824,898,917,174,319,757,761,631,666,474,491,114,581,498,795,081,
666,358,034,758,402,627,383,655,902,146,135,290,507,912,255,233,128,749,206,
790,253,459,702,920,340,895,951,852,500,635,640,086,874,130,040,244,304,742,
145,881,538,151,802,935,936,205,855,071,062,728,402,286,873,291,294,632,660,
247,020,593,306,854,641,881,800,565,664,459,898,219,913,458,368,077,025,012,
097,867,359,211,684,162,892,122,437,637,289,615,342,171,362,832,075,811,420,
024,698,003,077,262,729,572,664,661,620,974,577,966,041,728,147,657,742,334,
023,562,578,093,766,899,350,284,178,944,779,614,891,522,999,198,277,992,847,
226,090,787,924,991,057,152,931,105,010,124,817,168,604,313,850,415,553,699,
920,323,638,516,002,020,666,675,626,688,891,174,651,308,177,571,882,784,084,
994,077,890,230,039,503,347,139,053,986,490,648,348,668,702,437,309,781,755,
172,734,695,241,238,129,889,703,177,309,454,575,443,545,978,018,416,018,496,
057,399,889,477,982,543,745,305,417,731,012,006,394,711,299,637,487,439,795,
503,576,215,351,548,417,425,336,900,408,366,311,157,994,951,456,962,397,864,
208,668,218,210,902,357,238,646,197,420,268,073,551,230,668,473,064,790,127,
969,309,632,993,833,316,180,394,512,450,760,587,168,972,558,761,570,398,032,
180,387,424,634,004,449,475,285,324,440,367,349,484,264,994,542,008,079,388,
289,055,676,854,230,777,982,233,470,006,353,925,473,788,216,261,305,496,225,
407,191,723,719,336,190,930,691,389,619,843,457,808,748,407,170,452,710,797,
556,119,577,030,698,411,062,144,410,579,736,339,502,631,126,365,426,495,343,
079,185,828,605,970,308,335,807,386,968,911,115,949,219,968,242,937,563,529,
260,735,856,554,454,653,865,727,720,268,244,250,183,122,729,362,261,972,634,
439,984,522,066,204,974,277,364,854,562,665,830,663,387,695,489,505,384,312,
675,960,298,141,736,422,791,983,345,788,387,822,594,551,954,716,777,384,384,
554,611,706,457,952,690,168,449,916,071,083,430,165,398,111,915,737,395,908,
003,347,707,788,143,621,856,676,518,103,152,305,018,610,821,925,279,188,154,
644,238,775,066,132,623,925,091,295,412,669,894,606,543,482,935,437,598,562,
811,193,849,551,902,057,565,359,620,200,879,301,264,392,362,037,957,159,009,
930,995,903,559,766,621,174,833,441,525,494,052,685,592,009,380,263,347,089,
207,542,613,437,195,456,414,475,418,364,016,489,225,510,370,362,962,243,282,
178,825,315,481,932,517,535,620,183,487,284,896,886,221,560,233,485,294,627,
997,491,240,440,569,267,607,839,220,991,868,706,333,182,631,037,454,776,670,
739,449,762,507,439,656,780,069,258,673,845,266,435,154,011,563,904,129,077,
361,352,716,719,395,106,268,413,851,236,882,790,069,390,665,335,422,143,149,
347,422,874,541,506,618,218,615,045,565,708,516,341,710,018,064,740,104,580,
589,663,513,664,721,618,201,089,097,609,945,224,585,553,444,163,785,372,754,
873,410,889,182,130,254,383,326,375,817,911,154,452,514,155,215,913,953,851,
360,968,153,727,180,618,716,374,392,227,846,526,763,475,421,149,466,888,336,
700,997,015,717,609,119,468,401,105,837,499,616,407,940,671,921,850,454,880,
492,123,183,005,965,180,723,054,162,522,075,913,046,774,670,076,439,209,642,
992,090,404,874,656,111,958,360,367,277,383,132,673,399,760,177,894,197,013,
969,161,451,990,244,783,948,198,038,441,869,478,159,978,321,156,559,620,517,
645,017,958,682,877,387,210,422,931,905,611,544,938,576,927,371,103,852,652,
400,757,978,174,817,105,947,392,241,653,691,372,490,468,537,670,319,013,488,
945,766,887,795,498,969,970,439,247,872,646,431,489,257,133,349,925,964,079,
533,238,076,411,141,963,865,449,982,269,667,438,475,718,003,692,410,942,434,
219,441,870,707,481,583,755,749,751,779,082,313,068,539,809,729,138,044,949,
634,685,394,683,445,645,651,799,824,994,012,149,472,528,379,990,512,434,559,
499,348,521,871,924,134,939,896,762,262,969,308,753,411,219,317,270,912,762,
782,471,168,835,165,425,211,397,793,609,232,246,901,744,838,367,790,865,055,
803,718,030,878,374,407,898,892,857,281,159,172,908,229,943,201,356,857,819,
015,581,859,389,630,785,808,971,336,582,114,892,101,778,546,458,442,891,935,
886,531,742,627,556,930,159,111,330,181,637,688,420,742,599,261,338,429,135,
247,872,385,422,295,992,634,569,304,315,345,249,749,292,581,856,567,010,652,
773,518,513,046,099,347,335,969,898,533,053,746,664,842,729,992,906,793,075,
130,745,926,622,318,906,889,607,853,320,390,330,795,576,655,179,047,042,167,
177,148,805,577,898,509,797,693,327,101,534,381,928,827,084,901,510,726,314,
337,223,160,613,034,892,953,436,621,989,374,006,410,961,666,026,201,113,456,
166,604,474,407,311,825,085,382,663,056,686,589,644,163,305,382,608,363,771,
358,227,240,518,686,970,236,036,675,318,753,085,822,730,678,825,704,543,255,
007,044,432,535,417,212,111,349,043,558,670,993,965,470,060,843,693,776,394,
988,217,306,043,272,295,926,017,514,923,098,028,283,985,694,266,137,952,034,
732,127,142,072,187,417,967,080,141,934,353,467,216,609,202,923,128,276,046,
237,148,297,416,274,538,809,689,513,733,538,143,616,533,781,006,600,340,084,
972,889,851,005,042,922,839,803,653,925,396,234,099,052,774,935,284,751,032,
691,491,743,031,350,279,216,932,008,444,852,973,170,186,984,222,118,520,113,
818,421,405,952,839,794,217,824,451,538,316,563,121,658,202,097,665,543,890,
404,833,793,506,151,703,416,823,715,700,008,566,833,234,688,975,461,782,657,
838,904,763,828,278,192,082,747,149,101,171,354,027,895,483,902,785,126,251,
825,093,249,003,590,558,735,027,217,174,835,605,538,288,997,747,171,243,672,
457,556,308,274,040,047,995,393,592,448,502,794,892,529,910,086,027,559,895,
566,970,318,156,945,290,723,432,135,947,561,371,583,958,293,106,640,510,247,
465,979,374,577,661,453,147,129,964,499,958,997,878,882,623,833,322,486,998,
399,070,503,149,636,799,399,308,830,388,869,034,510,885,569,910,931,985,242,
499,844,516,569,192,490,980,742,234,087,711,245,411,023,731,570,788,981,797,
983,965,709,876,200,043,558,737,049,998,630,750,572,221,191,914,136,691,145,
078,969,745,110,024,518,597,388,956,657,584,864,154,950,456,343,620,274,789,
006,855,113,144,040,129,989,199,488,090,166,395,514,073,732,231,350,958,116,
251,939,901,982,824,030,770,790,238,800,471,402,755,600,981,198,959,796,782,
484,646,728,063,081,986,704,718,143,331,088,411,363,152,686,024,792,835,520,
970,037,538,554,733,170,288,398,858,470,985,165,050,537,378,059,677,198,254,
984,861,752,560,938,317,139,410,379,801,102,943,733,711,699,692,278,041,952,
958,146,207,571,846,073,952,459,711,387,142,705,899,891,239,562,620,363,539,
092,536,127,903,161,204,252,220,287,154,645,436,693,113,804,846,232,594,338,
656,027,180,026,865,064,853,568,004,715,447,141,001,690,156,049,741,506,655,
830,150,366,484,566,354,037,347,183,711,485,226,720,298,177,615,732,084,247,
380,576,006,448,041,790,015,265,167,788,406,384,191,186,217,522,999,378,550,
543,421,412,968,708,660,345,225,735,758,957,053,173,515,436,070,324,578,407,
854,645,334,028,033,893,148,247,805,303,247,052,741,901,367,839,479,383,247,
319,013,372,440,902,403,674,963,951,993,286,943,364,089,816,509,872,204,919,
739,943,932,674,984,854,314,886,942,457,859,651,816,466,949,288,008,148,466,
299,460,240,742,737,754,882,528,959,680,194,779,692,338,360,540,276,853,272,
306,115,067,234,954,910,107,156,308,936,138,938,168,843,851,511,903,847,828,
712,615,820,997,998,184,544,454,339,875,660,302,152,262,202,241,857,137,548,
775,495,756,421,315,666,296,575,254,588,672,509,290,633,025,661,876,536,104,
111,006,148,189,174,226,989,469,875,190,142,324,944,860,608,806,463,590,824,
426,962,325,175,225,327,947,377,159,159,116,936,770,728,445,531,138,867,436,
561,966,588,934,480,531,300,481,359,752,201,906,208,216,827,498,330,105,689,
457,169,543,035,908,293,765,261,832,917,620,497,618,620,823,828,972,398,228,
351,963,586,684,022,450,816,787,034,179,275,134,778,605,988,180,398,986,311,
474,285,779,653,031,194,653,524,135,424,073,255,164,314,977,740,708,086,914,
508,541,310,444,311,424,860,429,049,385,417,534,617,275,154,441,103,415,358,
792,014,238,916,390,358,376,775,064,231,370,192,870,933,535,368,228,521,896,
255,445,874,311,475,291,152,766,956,802,986,889,873,362,553,519,392,600,750,
538,771,186,419,266,650,083,537,029,894,473,341,153,414,538,106,340,704,894,
030,561,986,396,180,038,201,714,114,729,339,321,906,844,387,097,886,659,935,
128,439,953,559,571,923,367,272,832,738,278,601,163,413,991,669,114,188,376,
497,482,160,906,965,127,748,393,334,668,129,472,152,480,380,245,948,244,243,
531,543,422,297,804,557,180,383,300,847,826,682,282,453,667,539,670,391,852,
933,575,141,915,541,168,601,186,666,854,448,575,750,170,996,034,405,384,135,
861,049,592,594,258,802,961,146,218,508,033,428,480,810,024,799,974,183,569,
284,696,441,675,142,819,967,765,432,318,876,333,130,250,455,801,026,820,974,
646,621,233,048,177,453,937,187,758,045,134,703,206,008,412,562,241,020,408,
013,686,740,927,523,665,234,360,184,819,979,296,204,846,317,764,849,599,778,
679,410,224,392,408,551,246,065,055,522,295,625,311,240,438,185,637,264,154,
570,227,591,935,939,478,598,085,458,414,975,164,146,226,427,645,149,711,014,
889,261,205,098,599,979,359,418,113,737,140,187,797,337,192,688,556,568,603,
714,857,278,442,600,423,228,354,410,180,588,365,248,038,804,029,766,291,825,
932,138,498,642,629,968,048,508,915,424,642,819,706,844,510,610,766,990,492,
508,916,813,758,811,581,009,429,351,538,702,294,697,958,145,945,947,642,343,
821,706,488,728,767,120,983,482,649,079,512,716,240,679,412,476,717,387,877,
231,943,296,760,363,833,477,044,862,920,349,649,312,025,374,754,651,343,782,
673,687,134,623,633,659,104,457,408,552,049,021,328,758,180,945,621,563,215,
167,426,870,343,886,459,044,955,499,467,094,245,896,473,876,180,080,161,968,
297,708,529,318,232,226,069,750,710,115,117,729,302,805,269,846,276,168,815,
832,094,122,489,584,162,423,785,085,832,741,246,708,899,487,591,886,184,875,
185,088,687,293,146,777,152,615,304,274,344,717,814,410,452,090,260,194,948,
676,449,304,533,991,321,249,643,430,398,603,942,993,763,610,364,808,479,592,
027,734,711,400,713,481,780,111,134,810,684,053,936,383,729,282,898,661,557,
093,572,292,383,907,529,490,499,445,037,272,049,437,229,576,015,036,697,926,
406,434,968,379,249,841,765,695,652,137,015,490,626,442,390,454,278,193,259,
316,879,611,307,167,113,790,930,366,326,423,377,003,291,546,117,754,190,970,
231,521,842,065,214,872,007,847,669,698,077,644,589,978,937,581,038,583,208,
236,351,074,976,310,787,567,480,829,070,391,325,970,027,975,870,265,672,833,
592,393,489,760,863,380,439,120,094,883,411,111,898,704,749,162,741,643,944,
151,288,513,939,249,888,244,932,664,965,546,145,061,932,326,580,187,390,355,
572,858,481,646,823,334,975,575,839,503,965,866,983,729,798,692,701,132,889,
240,433,977,310,409,212,479,217,437,793,249,530,828,950,067,292,505,348,995,
886,134,202,179,034,280,966,998,689,791,357,141,799,940,272,662,037,486,766,
843,450,141,880,605,262,531,353,964,593,891,833,562,812,330,925,476,084,330,
750,323,590,326,368,222,188,545,862,793,406,600,769,775,682,059,657,038,537,
808,801,787,852,541,385,869,807,381,953,799,967,071,435,453,836,501,786,616,
094,279,805,656,213,100,756,904,034,227,203,203,380,685,357,449,716,447,397,
151,757,263,702,354,270,007,851,797,671,597,679,905,503,684,240,441,109,722,
067,669,969,624,777,007,408,675,944,288,953,990,351,373,982,543,338,210,054,
949,857,010,368,248,254,421,104,535,380,340,422,713,227,754,246,163,005,308,
899,732,035,969,721,238,758,226,166,676,264,221,119,763,154,200,921,671,312,
849,984,405,258,242,107,527,975,510,455,927,481,874,167,279,593,518,587,401,
053,907,168,500,392,648,013,316,388,463,158,361,764,830,764,996,414,276,740,
029,687,687,319,293,493,905,312,354,666,521,120,708,760,213,015,691,001,782,
052,620,398,594,931,288,961,824,666,027,346,424,469,269,295,152,436,126,455,
899,013,754,017,109,586,858,477,374,137,758,574,105,458,624,107,697,740,579,
057,229,770,678,497,283,354,936,590,656,678,010,159,669,117,400,738,638,513,
818,912,578,956,962,596,219,853,767,298,903,149,574,208,243,825,504,987,186,
880,289,635,721,124,822,602,201,415,514,598,735,960,415,300,317,697,916,696,
424,940,226,986,483,190,553,650,325,104,504,744,169,053,324,626,026,032,047,
061,149,733,945,009,516,082,908,859,495,168,739,566,334,257,671,915,137,913,
265,510,257,914,719,017,014,247,597,965,812,525,662,426,561,823,573,405,400,
582,195,388,075,677,545,761,463,376,170,569,995,139,642,850,773,920,412,436,
709,620,715,826,573,129,304,981,243,834,363,760,926,556,873,068,850,643,997,
542,472,943,821,244,695,847,042,803,474,242,610,099,694,016,634,082,393,593,
112,013,034,729,459,160,614,012,116,751,198,377,139,257,635,060,598,225,403,
583,666,471,660,332,727,706,115,572,857,193,064,419,854,119,054,284,378,895,
135,043,976,491,898,524,859,858,504,125,307,393,451,241,466,036,755,384,522,
571,846,234,082,976,613,879,607,381,526,602,508,134,228,442,892,186,053,614,
406,292,360,994,775,331,018,318,295,107,129,625,128,247,069,715,675,629,468,
706,630,427,620,064,090,646,499,882,809,643,948,447,246,404,885,019,107,509,
459,656,837,613,239,470,855,335,701,766,057,798,083,888,341,005,810,715,254,
766,641,419,364,414,396,788,005,168,789,902,627,849,686,426,399,648,023,161,
152,105,364,547,963,096,797,279,949,979,381,399,544,084,484,556,896,752,531,
654,668,875,698,064,862,568,035,609,549,342,130,283,144,044,583,382,626,339,
333,140,752,416,485,764,268,029,747,582,591,294,001,095,354,685,936,028,226,
193,570,339,165,762,418,846,500,230,451,464,002,983,040,314,198,020,708,454,
377,657,274,138,072,114,048,569,972,937,477,480,552,675,485,612,587,185,438,
253,668,827,247,599,752,115,782,048,890,930,476,885,700,409,919,018,629,574,
921,016,989,226,452,328,414,566,647,762,691,353,072,688,492,112,556,213,567,
395,309,733,442,771,444,286,368,361,098,247,743,569,287,842,144,487,797,150,
730,867,087,324,116,481,159,804,034,502,079,996,432,234,269,846,163,147,428,
506,427,445,696,174,973,825,334,870,978,279,059,505,257,860,512,308,063,735,
268,328,471,642,626,427,152,759,687,665,513,424,172,249,522,479,187,293,383,
799,159,946,194,714,154,453,915,309,149,652,575,523,921,894,601,401,642,328,
243,286,114,635,730,498,200,374,388,831,636,854,432,664,170,252,265,425,087,
940,933,091,987,323,692,347,772,899,112,725,126,317,047,327,915,034,599,270,
175,702,169,346,534,426,516,816,388,777,505,261,484,257,991,016,849,151,888,
513,435,473,939,166,743,109,784,730,355,784,857,607,597,666,093,879,219,049,
304,674,775,711,222,001,036,954,678,570,694,574,564,396,435,813,991,085,055,
030,437,879,041,081,689,772,794,209,970,796,497,942,169,063,523,712,705,643,
050,638,568,776,120,504,631,468,249,361,598,319,807,423,351,260,752,442,656,
914,238,389,176,022,485,254,081,523,506,842,697,139,982,654,154,148,017,721,
524,316,435,408,093,812,624,936,884,035,074,242,994,187,124,106,724,205,425,
882,205,740,888,763,170,339,526,222,168,962,109,447,057,555,482,196,884,868,
016,950,430,486,791,159,709,942,287,974,194,360,723,561,902,350,247,327,940,
155,848,783,984,056,791,433,444,964,008,546,724,821,126,518,721,385,974,291,
776,784,410,409,986,093,888,549,217,366,320,697,062,047,377,708,986,166,970,
599,486,889,722,611,869,547,565,996,496,632,377,003,078,811,651,317,818,370,
504,174,634,485,604,830,344,624,606,528,143,063,450,109,708,147,545,761,816,
701,684,020,835,590,506,568,285,560,808,250,356,891,592,088,366,646,207,138,
262,187,950,632,339,820,140,320,020,424,886,026,797,123,618,250,255,092,906,
626,245,087,704,663,084,623,158,638,604,147,120,743,111,793,165,774,055,936,
097,469,105,355,247,012,117,702,263,937,686,112,753,530,918,268,447,836,085,
989,929,357,304,122,543,244,488,845,518,282,233,780,645,404,171,660,424,817,
868,087,479,106,600,147,011,353,203,756,888,352,957,736,018,766,854,744,310,
307,128,435,042,243,692,902,421,978,048,358,457,528,689,467,892,327,327,694,
343,890,219,876,790,851,769,135,857,165,794,385,482,057,209,620,776,081,689,
744,527,222,010,613,529,022,832,967,488,639,965,987,042,936,154,352,215,777,
718,481,777,184,252,353,916,165,764,333,013,631,676,800,180,567,107,346,169,
578,220,997,782,774,636,362,058,951,295,728,196,120,919,532,338,311,629,085,
784,504,719,574,685,974,524,535,777,442,135,999,758,313,152,034,748,895,992,
561,025,911,574,483,419,517,551,009,322,632,642,255,704,434,325,340,590,605,
400,296,857,816,545,571,897,157,692,989,652,437,670,828,072,979,583,713,545,
904,201,635,718,734,309,824,632,238,076,236,508,308,411,530,750,224,688,329,
248,087,384,702,439,490,417,422,282,260,203,340,132,615,145,035,191,729,523,
497,472,960,044,353,131,198,823,012,328,780,540,009,343,153,368,045,860,683,
785,869,334,857,709,634,383,271,765,588,195,019,138,558,737,536,521,200,677,
398,893,124,629,030,702,320,480,977,975,001,667,104,814,657,024,081,372,061,
862,719,595,994,357,833,894,102,728,498,083,393,177,538,878,187,069,189,457,
315,398,144,448,059,504,754,999,798,690,024,713,454,366,663,341,007,220,488,
415,165,126,045,856,687,029,628,407,939,133,620,289,486,245,587,191,815,752,
040,821,263,625,793,096,837,433,832,480,109,400,139,706,717,926,465,244,204,
136,905,854,134,740,318,741,504,359,344,913,036,921,363,656,631,249,142,579,
907,514,480,313,073,830,553,570,931,374,883,395,647,489,512,832,908,739,906,
754,527,497,742,703,442,389,665,996,622,059,196,296,474,624,161,797,641,354,
087,109,709,423,032,364,936,537,514,329,349,617,423,244,537,281,058,343,499,
981,691,457,387,992,293,181,979,145,151,425,668,396,187,373,077,326,068,477,
869,653,760,869,396,303,321,375,766,480,616,878,006,354,409,313,346,419,377,
000,358,824,756,521,732,867,335,451,135,837,304,666,790,338,755,422,397,263,
342,286,377,593,651,839,578,819,486,421,825,817,368,732,090,653,086,642,504,
273,788,707,684,791,059,145,475,179,843,858,645,232,416,887,607,000,303,352,
719,606,739,639,931,717,945,112,348,188,753,221,614,335,474,773,415,191,585,
388,738,059,698,712,365,268,421,024,730,678,017,562,577,512,206,054,922,976,
559,671,927,501,291,087,855,237,478,631,024,336,460,043,339,095,972,653,876,
673,808,584,928,032,048,093,722,154,024,650,439,780,046,557,099,241,876,667,
819,905,686,749,204,888,759,931,426,271,264,220,345,567,363,311,981,363,984,
322,059,225,557,416,741,780,984,823,393,662,760,301,533,734,312,287,231,197,
390,469,401,258,233,162,930,029,791,470,247,120,523,043,527,388,050,872,907,
490,583,196,134,170,738,685,608,009,281,025,047,626,345,133,654,741,411,548,
132,058,200,245,352,379,229,341,854,679,890,852,619,551,090,375,744,160,753,
610,763,576,592,091,424,649,422,701,512,845,843,290,278,248,689,720,787,966,
341,617,005,632,876,116,760,973,026,609,130,383,390,190,720,221,139,692,837,
284,415,387,925,364,748,786,991,363,383,381,686,232,896,530,917,617,463,594,
281,283,359,869,245,853,826,235,196,549,148,451,464,307,806,702,992,751,537,
668,431,063,961,939,611,698,198,386,133,047,245,735,904,662,611,309,371,785,
204,921,908,830,859,037,173,242,507,424,438,120,397,296,051,425,464,312,493,
436,653,575,148,120,139,619,075,535,552,709,717,960,095,188,888,538,908,295,
021,629,987,960,400,972,342,577,211,793,427,047,016,799,965,686,191,257,709,
019,132,271,037,558,228,893,730,398,674,074,817,928,425,725,181,783,255,322,
229,797,325,854,416,412,188,539,505,053,604,943,838,575,267,092,868,749,914,
553,872,715,729,212,400,828,818,521,618,881,075,969,441,877,807,363,607,793,
057,169,428,173,624,609,935,449,422,425,797,013,013,650,086,015,851,414,127,
343,592,808,586,991,626,217,022,965,070,641,383,703,070,865,254,589,204,253,
739,931,180,958,737,756,365,348,573,594,449,736,928,069,421,036,695,551,063,
737,197,038,429,068,400,364,078,101,322,191,552,077,852,098,769,388,136,326,
052,271,949,170,553,424,672,397,089,904,233,144,244,233,844,191,789,756,073,
534,607,122,569,440,937,681,695,371,865,964,596,131,727,789,658,886,166,396,
392,551,372,817,265,242,511,774,145,982,946,505,442,279,045,804,592,762,085,
990,276,311,740,433,554,567,533,588,864,015,323,107,303,248,456,638,594,115,
527,509,057,079,981,344,812,211,936,588,228,723,430,264,901,870,395,848,678,
108,634,811,088,620,505,593,988,273,009,432,257,776,527,011,012,501,203,652,
281,125,761,225,728,550,236,159,089,087,012,677,005,471,355,014,883,185,306,
046,213,935,383,629,109,187,885,644,187,570,963,594,596,317,682,740,861,589,
785,461,994,455,290,812,771,394,510,070,042,657,091,527,232,761,466,704,760,
325,613,120,422,538,025,820,210,329,525,804,573,402,480,398,515,619,960,188,
314,971,843,548,344,627,171,939,152,595,396,223,991,787,751,703,318,043,901,
346,528,786,223,308,772,049,271,690,381,199,555,067,214,050,218,612,897,915,
716,190,654,133,640,998,720,881,047,476,685,849,568,281,748,349,207,872,460,
971,967,237,829,851,418,479,886,517,964,678,835,697,449,216,693,977,603,224,
400,164,742,812,133,377,649,784,110,352,130,174,394,565,165,296,356,677,512,
162,850,613,028,138,566,379,103,208,578,496,626,208,822,805,462,848,331,861,
875,203,608,220,959,035,104,056,843,730,022,324,228,278,962,143,932,995,888,
075,057,883,350,231,583,614,688,003,567,408,024,501,951,338,354,878,864,788,
062,870,363,191,871,856,548,958,762,849,129,534,528,097,279,888,775,559,865,
805,983,759,987,925,181,440,428,888,970,777,275,968,505,630,429,469,674,226,
564,684,122,593,975,939,614,076,383,346,381,915,455,208,722,667,829,837,424,
981,082,091,711,736,973,872,684,318,200,441,760,429,546,997,893,574,283,417,
334,593,012,961,246,984,914,495,424,881,977,791,985,996,756,489,461,655,433,
907,656,797,291,011,584,683,433,650,705,317,766,149,686,389,944,437,830,494,
421,672,915,120,516,161,775,773,197,012,129,303,619,654,157,189,364,093,709,
111,114,427,813,416,176,526,587,168,965,731,705,761,696,278,879,959,956,020,
268,920,267,563,961,065,540,243,743,316,686,848,260,479,616,810,372,146,147,
080,179,728,056,163,451,240,320,914,521,792,590,933,148,670,839,542,521,193,
568,278,768,255,198,502,216,657,173,943,576,324,783,435,290,517,405,265,941,
393,292,221,910,562,143,604,886,085,305,211,447,356,670,367,819,005,664,768,
144,050,490,917,482,369,813,762,855,924,448,162,496,942,415,696,021,620,983,
280,667,153,606,312,184,282,169,172,966,147,983,537,472,225,489,304,203,065,
170,759,867,780,429,799,022,683,430,403,264,612,760,734,795,920,066,099,300,
049,615,756,987,364,761,853,654,346,024,227,768,181,440,247,536,875,610,610,
401,295,852,202,580,536,405,934,410,080,692,401,075,304,978,676,601,571,237,
913,696,663,816,226,459,600,877,077,642,425,536,876,382,805,442,162,468,912,
235,244,449,558,940,881,103,253,070,500,662,340,067,434,827,033,821,195,320,
445,956,364,126,078,956,214,420,794,575,565,618,937,944,809,481,326,254,278,
912,812,911,290,594,495,189,468,236,312,021,627,496,693,017,219,450,086,311,
330,114,205,597,523,977,136,242,936,975,290,882,949,308,492,580,365,883,861,
618,566,728,577,117,268,646,551,921,961,213,725,243,559,434,605,033,058,322,
384,564,243,897,262,373,456,871,694,932,842,517,813,165,937,915,909,483,955,
368,366,861,453,312,396,470,930,547,259,651,069,689,781,662,523,169,323,582,
625,844,128,173,676,411,954,870,495,795,886,561,836,499,105,358,458,682,291,
337,993,217,971,478,942,832,949,391,077,776,274,209,852,702,210,788,415,017,
070,691,158,856,849,066,162,175,780,068,765,223,681,674,295,853,690,582,534,
249,742,440,165,669,027,005,490,032,900,244,020,672,849,956,934,213,001,429,
618,404,743,981,595,514,782,571,594,520,814,637,131,366,476,563,401,058,284,
247,228,509,799,984,776,905,562,628,149,879,971,227,750,061,546,636,200,297,
052,527,538,067,940,595,200,060,078,519,152,071,552,497,054,363,459,391,935,
168,142,358,762,356,011,916,984,128,723,082,784,323,372,247,476,542,338,556,
204,280,317,862,773,397,885,767,119,904,768,010,963,591,440,303,258,376,936,
468,800,834,229,719,167,280,853,418,828,099,407,862,521,888,446,471,927,118,
632,645,521,450,738,799,452,916,746,286,004,822,805,640,003,189,759,404,825,
681,582,005,751,721,069,410,188,713,996,195,560,659,659,075,396,011,628,489,
122,659,078,924,693,660,903,495,710,584,063,322,543,212,353,781,932,338,880,
605,862,123,134,670,501,960,872,964,729,086,139,752,801,261,205,215,348,515,
571,256,869,287,347,083,529,999,689,290,313,403,480,706,299,777,524,854,176,
281,935,395,207,507,056,454,098,149,294,031,725,809,002,421,943,469,252,441,
390,724,185,244,325,799,349,184,131,157,592,176,691,260,732,657,735,170,393,
403,870,289,055,068,034,699,312,790,210,432,621,999,913,048,902,235,260,841,
702,270,413,997,879,190,876,759,447,710,158,888,939,657,023,942,956,283,321,
925,550,704,375,777,307,169,114,827,284,350,664,157,557,950,859,213,009,576,
999,670,316,217,484,225,813,192,357,112,450,289,611,927,976,830,650,457,486,
486,819,578,014,428,023,920,734,297,196,259,701,944,476,316,004,539,058,025,
894,982,654,809,070,074,431,431,944,333,128,981,928,157,850,186,519,436,146,
757,067,024,222,702,706,276,030,441,881,346,171,994,598,612,849,281,607,540,
537,280,320,026,065,845,372,069,876,192,105,293,515,915,422,981,517,596,558,
295,961,993,627,814,250,080,722,108,501,927,805,220,241,369,210,750,576,808,
542,014,252,647,033,012,842,953,126,531,614,734,420,422,342,266,478,118,200,
876,260,659,534,999,000,055,928,890,843,401,550,497,406,267,244,281,379,098,
419,113,587,885,857,275,836,759,309,859,834,913,456,714,413,092,070,073,625,
668,127,151,186,299,619,334,214,865,132,169,717,609,502,192,130,983,500,640,
341,479,199,471,759,377,148,195,771,928,008,699,435,027,506,460,032,679,103,
644,627,038,326,999,550,430,989,881,296,951,019,324,676,530,432,925,539,351,
731,994,631,769,180,967,754,056,856,872,411,973,143,831,802,405,014,706,565,
953,860,051,206,042,349,757,826,367,175,215,311,731,180,407,945,381,843,098,
868,350,182,396,913,484,208,372,238,153,345,233,851,959,425,899,734,975,323,
135,880,708,796,741,275,644,361,320,757,511,106,756,886,964,711,392,373,691,
781,478,908,213,822,296,635,198,997,396,570,276,248,690,362,068,225,518,089,
876,654,357,190,589,084,049,382,896,223,673,011,004,281,740,059,753,756,688,
740,508,865,933,000,178,803,410,634,198,395,349,714,382,442,311,811,356,875,
744,847,066,455,762,199,774,892,425,479,022,058,819,092,091,902,417,111,304,
156,342,815,068,891,733,935,040,714,404,526,329,989,392,658,302,813,726,365,
740,819,499,615,415,096,441,660,040,504,532,134,510,476,990,320,163,382,941,
996,706,319,723,425,201,909,008,304,490,427,126,688,601,059,674,050,134,277,
325,377,341,436,959,250,847,775,416,246,929,474,865,568,737,721,148,124,284,
558,598,981,647,949,613,140,982,518,022,104,490,549,460,121,580,649,080,556,
899,024,972,894,025,756,835,165,327,429,855,959,328,975,647,426,768,173,445,
758,418,862,273,247,304,279,333,576,107,329,069,486,156,995,303,252,695,513,
166,120,439,095,250,111,685,510,439,306,704,647,316,842,257,413,974,016,141,
011,141,521,062,388,216,892,888,054,253,836,063,507,820,821,860,738,643,410,
857,843,228,822,038,271,915,397,343,708,750,005,248,957,525,345,992,761,866,
033,855,875,919,077,473,080,927,353,401,174,176,033,146,819,811,299,231,404,
363,754,357,452,322,231,601,828,037,490,877,476,240,247,535,234,649,929,250,
019,238,974,227,638,413,174,356,091,625,542,063,801,669,079,303,804,640,637,
179,874,540,273,511,647,384,510,737,508,521,229,961,155,894,694,014,345,031,
807,169,082,199,538,783,700,516,823,795,126,438,084,820,247,504,818,319,696,
147,079,431,886,634,719,671,211,601,436,232,661,621,813,762,739,716,001,125,
663,558,111,757,051,223,151,516,864,927,369,717,681,378,508,543,254,424,030,
934,663,587,779,511,515,508,114,685,308,583,954,693,166,623,294,171,867,606,
243,708,234,255,405,272,996,050,735,171,973,275,221,936,210,460,216,099,974,
600,499,576,650,918,690,105,550,506,167,525,944,375,032,632,567,019,841,305,
274,550,830,579,942,802,274,739,336,965,948,170,493,010,773,434,328,240,579,
045,248,380,167,092,726,323,902,152,003,863,173,919,250,207,702,142,588,076,
869,456,746,257,213,387,067,840,072,104,211,770,120,364,076,878,245,306,615,
096,515,035,039,889,170,954,556,159,089,388,213,944,324,297,948,305,748,502,
405,510,870,234,582,954,797,913,344,266,835,504,731,254,279,299,853,248,554,
072,742,643,033,174,733,543,815,588,819,454,858,320,017,173,104,230,168,782,
095,638,333,592,562,173,181,855,423,312,315,671,248,181,055,281,479,489,384,
814,120,673,794,006,118,021,768,044,869,224,774,711,283,418,666,048,660,474,
346,764,070,257,712,368,253,156,115,042,374,925,219,997,700,234,588,157,931,
935,146,230,657,157,880,537,097,168,094,687,056,669,231,007,680,663,784,556,
570,947,796,162,253,803,017,293,005,837,906,912,011,271,927,397,054,724,378,
081,090,181,565,428,914,948,438,366,052,649,635,461,042,273,761,096,656,063,
364,122,653,178,214,520,926,252,936,216,860,364,422,682,430,034,075,105,127,
273,857,082,449,026,942,520,868,127,037,103,216,957,845,300,599,291,552,649,
744,164,305,046,341,725,552,307,773,698,439,915,146,969,886,526,799,358,886,
055,687,939,638,967,577,506,447,583,081,685,548,797,394,638,617,256,830,733,
735,063,092,990,898,714,502,302,222,668,552,224,525,505,743,762,362,950,670,
996,152,350,181,156,616,414,325,651,453,177,626,941,345,063,458,659,464,812,
509,486,124,251,652,053,596,416,979,757,086,063,009,762,444,517,822,109,820,
513,997,851,445,539,204,201,513,637,107,416,100,352,197,730,150,417,549,654,
056,153,455,873,059,470,047,783,393,418,922,361,399,957,512,760,517,201,966,
314,955,333,146,985,976,551,987,807,035,109,140,218,419,760,524,402,302,573,
308,760,201,394,935,813,421,227,407,590,140,490,673,494,163,126,481,873,960,
972,670,923,923,639,339,651,358,509,960,112,996,597,476,101,301,770,783,352,
029,730,470,599,864,577,579,356,039,803,332,423,297,163,350,060,030,117,773,
472,217,279,641,261,986,921,956,541,581,808,212,405,203,141,565,036,498,639,
631,389,902,939,250,470,970,319,967,057,778,941,396,322,883,602,250,098,355,
609,728,961,525,579,389,343,689,873,886,311,290,030,080,701,887,590,790,757,
114,226,474,264,665,418,803,712,756,187,258,227,883,002,783,658,125,355,594,
001,653,249,847,338,349,430,864,112,504,767,505,222,957,852,111,298,467,543,
017,901,954,014,426,263,028,076,874,653,122,971,720,355,075,896,493,921,446,
214,744,873,031,406,944,910,049,383,369,081,221,839,741,376,693,364,805,670,
496,191,152,504,574,550,044,261,512,558,794,375,356,329,212,277,814,384,793,
281,675,775,679,482,329,467,676,926,040,698,350,632,009,324,426,248,428,239,
197,972,125,555,463,628,791,936,736,819,519,102,336,039,229,675,584,426,786,
326,923,811,195,900,332,935,232,854,780,743,031,477,296,952,216,710,306,595,
585,560,707,200,774,687,984,029,261,971,876,799,255,819,251,921,561,742,826,
304,515,261,753,385,323,934,232,941,449,213,291,454,950,167,534,666,931,873,
634,757,433,560,358,680,809,904,906,819,958,198,511,920,546,488,153,493,827,
863,947,319,942,024,853,298,076,267,766,786,645,186,617,230,873,536,239,707,
775,898,615,792,395,158,201,828,706,347,964,630,389,808,733,527,017,946,516,
214,252,718,168,736,516,681,338,817,944,598,515,104,525,569,447,140,793,970,
492,824,080,691,930,933,872,659,158,438,136,986,090,252,070,815,379,587,180,
720,796,784,409,664,537,782,456,729,644,621,316,968,920,380,338,923,585,641,
274,337,645,840,789,859,212,794,923,751,289,000,843,135,248,317,640,225,241,
951,350,080,247,965,387,995,257,062,062,890,231,442,516,678,563,342,705,483,
379,700,438,229,511,247,578,992,589,267,455,778,314,376,325,888,612,190,784,
686,955,320,945,264,464,291,371,772,444,682,420,102,799,187,673,509,125,534,
241,697,458,439,456,187,193,261,024,143,675,856,552,280,363,420,573,679,443,
699,372,092,826,945,945,667,656,989,732,228,952,882,945,800,542,525,606,869,
027,526,729,293,957,630,470,279,063,794,486,846,098,210,207,447,903,196,561,
913,399,710,346,765,103,025,870,370,758,821,862,415,333,853,212,088,911,428,
815,932,365,973,482,152,397,737,119,167,942,921,622,012,454,793,346,363,776,
684,703,683,706,401,164,332,074,615,804,727,288,378,785,933,527,441,306,257,
363,679,449,223,825,522,471,354,593,207,209,660,465,235,060,716,461,942,636,
365,874,253,533,035,295,913,246,146,993,000,498,469,309,367,172,623,350,873,
081,980,439,786,754,642,505,555,953,621,952,570,283,412,068,324,658,220,720,
103,180,764,542,156,171,096,027,045,220,072,122,914,484,985,059,082,586,204,
110,536,445,891,552,412,585,985,222,363,745,121,899,489,175,729,684,505,368,
112,220,920,772,344,208,744,044,066,476,551,981,181,982,823,605,712,099,660,
417,964,064,535,592,396,092,668,135,995,195,920,800,227,341,072,662,208,012,
381,231,000,548,005,443,343,109,184,701,316,533,352,343,131,490,653,661,393,
103,876,472,535,493,719,023,688,614,235,946,477,334,761,954,179,776,310,823,
158,398,714,885,942,997,303,286,903,689,032,555,323,004,431,119,031,345,826,
575,556,621,870,902,727,534,413,892,784,101,390,992,627,892,801,545,005,328,
517,688,333,789,508,599,501,496,119,179,292,824,914,920,778,671,735,776,676,
274,951,374,830,610,568,171,650,065,887,033,545,456,708,975,322,805,202,357,
735,128,150,482,497,162,616,282,785,636,221,532,251,892,294,973,597,308,762,
963,646,531,339,025,793,230,196,439,067,336,115,769,409,905,650,052,835,738,
094,250,528,737,491,045,151,461,809,490,767,957,241,589,105,336,821,396,495,
500,372,872,593,236,066,898,056,813,708,906,235,376,461,916,436,763,777,653,
482,997,733,618,176,549,502,292,264,508,951,494,163,741,006,516,129,399,983,
864,554,149,663,269,754,443,042,214,964,982,121,267,538,196,261,801,740,776,
428,021,006,791,875,217,635,900,191,026,449,254,210,335,607,862,468,366,421,
044,623,930,407,114,352,601,427,827,247,826,269,281,463,942,554,300,848,505,
217,757,768,377,301,679,732,423,414,329,664,797,227,279,194,597,014,259,839,
148,145,105,112,677,186,255,836,398,789,229,032,302,645,919,663,541,723,532,
302,222,772,565,210,584,593,484,490,682,311,470,130,902,852,154,299,288,203,
827,761,282,709,849,270,093,767,913,031,462,222,235,187,683,433,440,575,015,
446,039,148,062,636,120,215,496,954,573,000,973,249,069,761,084,733,230,041,
155,421,905,611,645,217,434,588,630,500,843,218,507,503,952,070,555,795,851,
601,549,407,300,811,195,947,501,970,651,663,258,017,138,679,579,310,238,417,
943,986,045,142,744,521,660,922,625,192,798,731,106,009,621,994,500,030,958,
801,794,028,636,684,822,897,310,781,343,937,197,506,115,204,235,026,257,972,
047,810,738,021,570,629,368,157,915,778,821,553,490,048,494,838,566,599,504,
240,046,074,470,703,579,974,926,216,954,547,253,654,229,956,282,234,808,726,
804,270,870,406,607,702,237,276,037,743,061,551,135,966,209,754,812,292,176,
567,163,828,596,122,694,193,399,853,601,814,254,107,136,407,369,262,430,061,
731,741,592,629,385,475,536,953,658,130,487,925,592,845,922,882,677,250,020,
994,491,462,761,194,704,209,451,619,066,662,780,391,213,543,077,792,402,328,
790,722,659,596,212,610,176,212,740,997,049,228,706,599,669,127,930,969,437,
750,795,055,260,611,815,123,933,155,161,443,484,739,238,850,558,854,780,006,
166,219,365,283,869,466,382,973,838,983,280,142,937,349,584,118,586,554,058,
235,120,855,827,495,844,216,811,114,125,036,849,275,042,479,938,993,659,211,
699,583,779,359,968,864,300,998,859,910,673,712,283,059,323,530,156,687,963,
207,833,165,204,936,434,464,288,410,368,942,853,198,059,847,673,098,746,895,
372,009,068,581,407,483,958,918,829,406,985,267,290,973,382,963,918,103,730,
206,639,996,947,735,850,093,439,359,527,484,572,919,231,897,558,656,002,758,
689,366,687,127,284,626,710,853,672,565,048,084,016,201,658,001,718,628,772,
490,693,714,716,563,560,777,672,989,244,111,083,273,616,655,727,689,590,507,
493,446,811,658,840,620,149,418,987,061,094,023,977,733,135,959,742,177,998,
220,598,645,862,894,751,127,496,076,637,070,887,126,168,164,437,164,738,197,
207,690,846,037,952,986,450,256,992,095,119,714,673,529,520,572,702,487,531,
070,166,923,880,799,946,079,641,120,248,968,805,111,848,256,317,643,766,459,
150,566,297,343,847,509,346,773,463,566,592,714,178,633,381,636,918,836,781,
428,425,852,997,585,574,512,604,208,105,205,160,421,014,492,073,841,297,546,
827,946,402,583,254,312,866,576,040,764,224,464,026,299,101,122,390,220,873,
361,472,668,633,870,024,957,006,446,367,876,946,891,986,162,230,036,601,617,
107,685,069,465,922,553,046,658,807,660,577,647,085,129,550,738,744,173,622,
125,791,600,454,166,426,846,540,833,276,199,321,440,264,044,127,245,111,455,
549,812,916,941,735,645,712,346,703,319,951,202,528,422,714,389,660,852,822,
048,805,089,130,202,208,596,627,311,231,550,696,231,120,662,961,374,071,776,
920,313,463,659,426,546,916,699,824,302,984,934,546,712,475,754,130,083,109,
763,740,004,321,853,707,771,978,538,239,336,735,662,530,595,834,980,680,558,
371,083,195,202,933,067,457,183,037,356,732,205,117,647,429,155,837,307,676,
245,375,543,824,067,374,720,440,770,387,051,522,222,347,185,877,776,640,435,
585,818,494,590,871,103,780,278,327,053,591,132,599,953,515,732,211,930,490,
505,317,170,396,566,350,417,582,787,890,463,306,232,123,291,588,588,148,210,
586,445,779,591,539,908,996,183,438,082,519,027,434,662,892,375,769,516,665,
739,575,894,094,534,781,039,664,720,247,883,948,184,999,198,926,154,154,588,
138,349,097,694,058,245,306,562,426,325,417,380,277,813,104,436,160,105,252,
128,613,545,024,325,942,700,798,347,169,343,216,384,955,176,550,256,010,649,
882,090,125,900,131,990,933,513,060,098,342,019,579,774,151,859,441,293,066,
659,580,149,983,811,197,759,607,875,700,088,530,830,910,985,549,746,904,097,
185,479,548,234,901,223,954,658,057,725,906,257,522,859,189,992,768,518,037,
469,838,404,324,923,528,969,136,459,187,818,961,045,950,231,719,474,405,381,
372,622,324,120,683,026,179,108,425,955,883,362,852,071,711,271,335,894,226,
066,655,247,662,783,340,404,130,948,493,944,039,120,316,452,647,925,502,638,
667,553,350,830,456,111,292,482,747,218,451,072,012,795,741,408,559,572,537,
852,873,533,735,785,517,919,342,468,129,051,103,039,137,487,740,393,343,387,
508,634,017,459,277,732,087,415,406,579,931,050,397,641,291,461,386,259,563,
451,236,568,742,570,240,752,608,283,199,075,905,063,348,638,759,836,463,085,
546,625,730,139,781,569,129,868,271,377,210,545,407,900,566,064,579,266,685,
236,843,195,209,316,643,185,174,577,006,902,580,696,084,548,551,631,652,277,
301,589,632,761,855,256,267,524,602,831,086,645,362,175,403,620,558,869,865,
437,913,388,723,508,958,430,801,692,928,755,121,409,142,981,103,038,172,463,
753,088,942,700,584,898,735,310,824,347,068,728,817,593,548,409,921,697,671,
767,340,047,263,804,161,067,645,025,355,573,819,019,258,205,693,103,522,467,
101,231,667,270,305,670,688,653,738,658,347,872,071,490,598,787,020,397,072,
539,709,969,346,993,079,843,197,513,199,333,554,575,288,429,011,421,543,931,
124,489,523,198,966,371,260,093,991,899,736,992,023,185,210,390,239,465,229,
608,182,718,521,231,170,911,334,440,663,586,667,833,677,587,813,732,072,346,
275,961,652,022,589,023,862,432,335,047,708,674,905,228,607,353,921,972,586,
229,240,675,373,636,504,791,702,088,479,432,753,525,508,396,237,785,110,800,
728,517,451,589,608,866,429,617,972,351,023,782,954,890,389,618,411,185,325,
078,267,491,869,777,645,540,118,281,297,374,649,177,254,109,425,238,196,102,
636,893,892,428,566,834,954,907,587,719,068,839,892,499,411,323,972,836,681,
200,921,912,574,688,462,497,335,974,461,510,677,594,472,754,853,192,730,728,
895,909,780,412,517,893,004,759,138,676,899,009,248,389,306,195,119,382,227,
556,893,469,038,259,016,439,666,251,368,516,708,595,067,474,535,234,481,660,
575,765,387,950,231,805,635,710,876,792,126,224,139,090,743,306,462,151,120,
782,288,887,512,677,031,927,638,604,577,736,959,004,288,067,479,250,286,359,
172,533,604,417,258,450,126,706,282,376,735,977,883,020,078,340,697,164,450,
012,242,534,576,036,290,232,562,511,515,640,532,068,183,247,948,177,721,737,
662,121,485,265,267,373,101,711,078,962,931,188,047,135,333,894,005,333,582,
020,820,268,039,214,387,853,225,490,983,778,595,645,597,690,661,136,645,361,
499,182,395,910,934,620,246,507,766,463,863,704,547,058,619,771,634,067,299,
810,894,298,526,231,319,596,971,599,600,392,103,788,978,573,214,694,468,834,
796,414,680,962,337,998,568,130,024,876,709,219,162,085,053,691,436,337,791,
199,865,516,181,678,244,339,795,546,905,766,537,187,167,471,518,626,744,798,
280,656,596,920,235,292,468,233,215,297,001,422,874,966,725,349,237,769,749,
140,655,665,438,646,298,613,450,027,704,384,599,904,895,318,951,725,807,957,
299,015,110,421,098,597,839,470,223,751,897,008,476,740,893,820,124,535,951,
171,050,210,460,717,933,791,896,601,109,288,638,587,208,532,825,164,744,019,
652,874,133,057,417,756,874,328,595,629,329,841,770,545,836,146,295,075,911,
721,264,067,488,464,030,371,179,357,748,646,762,731,550,603,899,837,987,350,
965,973,177,761,521,594,847,268,654,059,983,747,473,534,813,828,325,709,402,
976,272,707,375,545,630,884,266,352,994,694,939,569,234,290,290,485,166,179,
427,714,168,365,680,897,864,419,134,667,791,734,016,061,124,069,520,806,855,
319,741,421,316,104,802,686,954,535,579,163,990,881,188,507,258,335,489,443,
889,594,334,831,917,640,643,036,869,777,146,468,776,890,827,852,962,112,793,
357,450,898,776,379,272,318,020,393,315,407,533,827,302,083,287,627,592,067,
542,719,642,072,267,978,980,131,427,415,506,641,822,569,817,499,991,052,287,
898,003,979,686,372,074,697,779,994,347,465,882,141,004,904,463,438,583,381,
181,728,777,664,319,955,684,367,694,934,801,326,596,163,127,704,082,475,835,
345,052,536,038,469,806,279,622,109,503,345,786,136,975,620,023,011,502,444,
463,958,249,802,831,324,933,331,294,205,593,604,301,408,562,495,705,012,137,
515,518,773,140,695,401,343,730,621,982,446,960,902,216,930,858,703,133,824,
625,410,599,870,592,334,087,699,012,473,245,068,026,289,242,048,808,055,689,
061,652,875,889,253,758,757,911,597,517,855,117,609,210,521,924,257,532,799,
508,094,206,845,696,429,785,888,945,277,128,807,297,011,531,413,385,219,947,
135,459,890,843,733,541,512,386,915,260,881,451,647,441,998,920,091,883,861,
580,291,026,303,209,907,081,694,271,723,939,955,951,988,222,023,276,674,633,
172,167,546,779,307,012,020,961,011,190,984,516,846,104,946,251,371,450,479,
919,261,084,809,235,964,472,125,542,320,646,569,745,398,121,974,488,684,279,
198,475,108,740,335,673,412,833,930,092,426,514,352,602,067,362,673,902,713,
762,299,968,486,921,247,301,268,805,767,933,183,383,548,234,790,744,156,640,
467,693,293,111,159,248,234,640,181,144,526,577,603,694,332,318,696,564,209,
311,650,524,963,219,476,476,290,137,240,522,113,005,260,504,355,654,822,300,
907,012,997,836,974,729,806,231,644,768,842,800,446,126,104,562,279,384,983,
944,667,281,835,529,087,768,446,588,041,678,685,563,689,736,641,225,315,632,
733,446,385,834,408,437,902,266,280,522,184,486,339,933,633,176,746,817,121,
400,334,054,420,562,525,031,873,041,954,316,303,902,119,252,727,384,280,666,
542,527,715,731,732,507,750,153,545,371,392,706,139,122,472,668,260,323,303,
293,786,941,013,319,319,487,867,650,776,791,157,903,217,730,540,491,282,551,
060,653,964,326,726,354,361,266,135,681,924,811,605,770,683,068,698,736,128,
776,384,484,967,820,624,659,220,931,439,156,297,491,089,720,900,188,460,986,
555,572,942,285,150,335,972,942,977,655,016,538,103,491,045,029,277,013,568,
365,756,568,204,188,615,986,656,458,641,360,731,425,833,184,697,961,635,449,
355,211,072,100,775,994,945,721,386,642,404,809,104,198,939,829,758,456,265,
383,436,659,340,415,242,422,973,951,391,449,006,672,760,762,183,362,681,565,
634,214,235,743,365,883,093,104,792,370,914,010,103,232,437,356,713,970,716,
506,772,109,231,765,307,588,136,021,915,248,435,221,004,534,292,801,721,344,
948,037,371,728,393,869,469,614,536,397,351,207,236,794,266,128,768,857,640,
953,481,951,403,002,279,940,882,308,248,528,214,210,263,860,627,965,327,299,
478,625,204,391,739,427,392,128,706,848,172,960,167,606,212,657,060,074,957,
984,892,331,929,783,037,523,687,780,582,393,381,043,613,393,509,231,348,762,
378,215,531,973,471,245,224,551,010,378,330,984,722,154,748,207,664,068,113,
067,803,373,948,104,612,375,335,159,337,185,997,008,770,606,499,061,256,835,
797,344,056,439,095,258,098,506,714,012,811,923,360,512,164,861,208,358,441,
483,719,927,127,952,420,049,986,845,419,324,816,257,064,335,996,510,442,628,
040,526,508,294,777,745,518,858,521,853,455,445,699,921,913,563,193,454,193,
700,645,666,977,991,377,300,680,621,568,212,653,585,422,387,155,619,603,372,
378,134,864,283,347,252,246,667,747,016,673,939,446,481,718,540,335,106,030,
957,901,460,204,531,098,546,595,077,710,132,595,552,310,199,422,392,075,548,
605,571,448,456,401,688,019,201,940,016,327,548,228,926,592,915,751,776,582,
427,047,688,942,901,178,316,098,704,420,912,351,574,201,128,437,018,538,642,
789,957,515,454,134,742,809,665,317,258,014,263,964,910,345,298,021,643,435,
449,679,205,307,081,140,113,966,949,676,543,797,036,207,204,123,640,943,753,
283,521,849,052,584,908,739,936,815,472,428,323,499,145,596,242,859,511,826,
365,731,245,335,297,255,849,431,883,398,821,038,262,302,940,064,904,715,409,
486,220,870,703,472,311,278,556,521,686,050,406,696,450,203,672,243,445,867,
051,999,309,651,687,881,390,120,776,996,448,555,547,560,827,232,559,633,552,
666,403,083,387,098,123,765,530,416,153,766,929,480,628,151,659,565,889,649,
337,900,939,641,827,480,909,310,218,138,301,165,797,240,614,128,590,757,431,
007,250,280,266,503,129,496,286,818,357,529,031,726,665,278,143,247,960,216,
031,406,781,838,719,441,407,359,436,244,756,811,483,013,219,383,254,513,683,
652,266,457,117,392,824,567,006,808,996,902,212,373,045,909,601,981,559,410,
665,149,122,306,052,045,605,432,830,261,569,581,936,199,621,303,384,520,223,
788,167,773,411,113,157,861,874,179,861,596,922,930,489,444,613,531,636,932,
317,329,603,153,311,036,074,672,176,233,659,049,667,513,366,036,918,453,811,
043,539,744,591,921,805,615,484,368,386,928,746,004,830,397,654,580,251,696,
498,308,528,544,958,259,812,226,481,123,164,753,501,406,859,089,168,970,099,
518,582,916,344,262,991,036,141,317,312,657,304,598,561,706,771,555,144,107,
440,061,672,343,047,831,787,166,889,460,009,059,654,582,695,105,465,355,088,
704,514,008,843,016,953,991,092,569,525,783,781,763,323,095,985,539,307,273,
029,070,423,205,349,574,749,316,048,631,810,874,804,262,664,903,996,160,173,
822,455,256,571,078,479,732,401,839,161,063,345,653,893,214,749,914,692,325,
624,716,924,597,877,743,304,819,814,393,138,748,661,132,067,580,500,340,334,
444,465,243,280,733,827,226,701,892,034,260,021,901,160,143,379,284,684,437,
332,502,940,289,884,042,946,904,877,846,658,017,644,000,321,137,471,163,498,
448,765,903,256,766,144,304,571,244,106,540,011,807,374,066,099,465,755,726,
198,140,058,904,418,992,650,007,380,299,696,162,099,661,895,875,672,236,234,
482,359,216,307,252,672,043,262,848,663,390,857,488,602,663,827,642,232,908,
982,920,692,577,617,423,809,024,666,338,666,873,404,849,180,397,131,157,809,
417,548,585,545,956,005,508,858,827,495,920,578,528,361,940,269,744,105,095,
835,264,892,193,525,675,208,191,568,463,268,655,213,670,946,251,145,570,560,
499,573,473,457,233,927,579,428,365,798,007,245,935,344,032,293,508,849,102,
410,982,919,826,065,050,282,576,981,107,845,020,749,539,418,298,511,851,082,
263,643,417,861,942,591,469,924,764,869,637,147,181,829,759,267,093,596,288,
777,134,513,665,375,148,054,434,400,092,701,860,034,783,569,831,716,241,321,
152,170,434,351,979,933,144,672,566,178,507,414,604,068,126,785,201,228,963,
835,246,720,197,351,840,488,573,818,106,125,344,629,325,909,298,384,470,264,
831,951,222,564,322,015,222,843,046,844,897,586,353,816,322,496,941,277,177,
810,613,082,892,988,242,979,082,505,329,490,035,435,801,442,635,662,473,307,
218,471,854,204,115,439,252,344,932,051,619,801,554,680,205,420,710,597,501,
648,058,650,530,774,998,448,013,747,648,308,010,713,241,498,671,026,540,119,
478,186,865,160,092,412,654,713,735,439,177,541,774,266,285,927,058,975,685,
350,438,751,806,933,924,063,371,860,065,336,979,389,867,467,473,432,431,941,
062,505,080,205,693,599,468,775,440,366,407,959,701,602,783,316,354,354,776,
949,341,827,090,824,530,063,867,572,823,468,691,706,005,244,265,567,995,298,
788,687,023,450,492,119,835,363,768,957,479,642,491,042,454,261,409,259,111,
108,685,561,470,240,925,181,040,647,129,865,945,412,117,379,165,271,789,301,
079,731,793,898,124,744,965,049,912,981,532,769,915,223,425,710,014,129,042,
557,363,990,725,832,087,267,285,662,839,420,167,342,515,510,962,058,610,890,
362,937,538,344,399,397,324,329,570,871,602,273,842,561,404,192,453,863,723,
706,256,068,067,304,746,631,224,575,957,579,378,038,949,974,380,393,757,639,
146,248,504,742,341,788,330,019,601,975,155,410,645,708,664,862,863,284,115,
273,784,096,110,603,777,765,587,757,798,790,237,842,754,326,986,796,030,573,
893,757,054,858,945,469,427,624,820,451,791,913,058,229,258,822,913,445,905,
971,061,336,157,611,631,878,816,527,425,692,117,042,586,930,125,799,674,446,
595,741,964,401,118,346,761,568,252,244,911,926,573,746,848,108,412,741,031,
663,645,803,355,185,836,509,281,177,709,026,457,718,399,000,729,000,847,017,
205,543,405,100,461,484,513,293,146,835,437,180,218,180,908,053,444,411,933,
799,098,503,048,089,107,121,164,538,947,807,205,265,758,987,110,701,544,352,
938,596,586,836,604,715,025,597,094,927,749,446,340,399,551,877,262,625,822,
306,151,414,017,972,336,176,414,494,823,773,487,350,826,109,627,431,027,930,
727,933,261,539,089,028,094,706,224,608,274,850,195,830,461,313,928,000,005,
866,550,937,828,393,822,514,935,550,691,566,944,573,651,915,050,439,362,447,
232,899,531,360,453,307,027,345,905,090,143,414,484,500,035,418,320,203,071,
405,767,701,222,401,509,314,413,927,528,842,277,442,978,694,817,036,581,528,
659,166,748,731,581,822,096,900,493,094,491,371,859,623,434,250,551,563,653,
762,807,417,984,976,679,033,552,049,429,417,469,433,774,173,460,100,032,203,
190,138,261,177,638,299,248,919,332,864,924,842,135,399,914,761,671,725,683,
634,220,583,639,607,958,626,515,347,855,606,910,143,636,886,523,023,938,292,
156,637,576,823,253,094,162,989,689,554,650,000,561,532,048,799,287,020,576,
172,574,967,510,199,589,911,754,261,878,798,982,188,503,855,946,771,940,544,
386,664,572,029,366,432,571,316,740,408,607,241,414,404,686,723,937,843,550,
021,707,435,083,732,591,561,932,879,378,612,140,122,846,610,550,240,831,944,
881,735,251,859,221,749,183,000,794,564,392,829,259,736,081,374,532,882,381,
154,473,822,638,568,546,579,530,671,297,591,782,924,051,425,986,805,194,487,
244,067,272,662,751,741,920,058,549,380,407,383,988,807,070,023,416,725,804,
251,986,186,177,313,515,974,251,188,452,609,259,624,879,233,722,193,945,569,
137,904,249,272,906,065,223,096,753,608,253,364,519,662,821,362,389,171,222,
714,520,337,132,979,289,780,907,047,716,924,978,689,456,336,446,061,443,354,
925,882,698,119,322,987,064,186,218,782,493,298,169,691,960,988,922,240,134,
208,322,039,265,358,474,880,723,368,968,315,231,842,340,568,251,165,492,137,
572,325,861,873,512,179,445,369,101,944,190,199,247,457,008,246,680,035,533,
947,426,086,301,977,282,265,643,486,750,888,381,199,420,724,975,433,311,514,
066,850,243,467,600,636,832,633,932,661,241,368,729,052,139,821,493,093,247,
630,045,950,718,349,306,320,955,628,100,131,572,623,064,264,284,137,013,874,
123,479,239,467,823,605,590,144,820,572,121,063,807,009,316,904,080,452,743,
740,147,956,398,816,269,832,663,516,871,934,281,392,272,420,685,562,816,067,
581,391,184,897,586,268,101,189,598,802,628,711,150,049,139,941,006,961,067,
320,472,494,943,589,815,738,081,756,491,477,738,527,898,217,942,778,987,901,
595,768,265,812,212,614,763,013,001,133,141,439,556,823,780,363,585,307,643,
631,555,043,275,639,167,695,526,190,315,493,462,888,954,896,800,374,817,596,
375,559,591,340,804,446,852,625,228,198,302,030,847,935,670,708,080,144,431,
507,384,527,309,313,732,512,730,379,447,777,154,306,918,353,520,611,478,108,
669,214,954,832,399,491,507,991,541,800,361,371,633,433,771,377,511,962,419,
015,503,667,467,166,841,718,128,150,924,697,744,039,896,931,455,066,340,709,
879,665,548,553,666,815,233,970,079,772,695,316,740,775,812,023,952,743,269,
965,561,766,296,214,147,214,816,342,775,126,596,385,541,065,270,532,641,175,
075,241,342,049,632,715,272,186,539,366,748,637,560,018,932,122,706,332,762,
387,127,462,195,463,221,923,229,204,953,793,687,084,925,116,312,358,249,266,
403,282,336,091,875,773,470,658,546,638,552,619,459,740,915,365,551,499,423,
643,046,225,661,291,536,847,061,382,449,168,542,102,716,144,813,531,769,290,
960,527,029,690,829,896,368,502,936,758,886,508,413,324,579,753,253,455,016,
974,576,703,284,635,228,097,864,106,510,670,736,802,671,759,805,187,420,146,
679,331,429,613,725,474,283,693,482,118,726,262,058,668,049,153,258,988,939,
002,351,975,063,442,147,684,314,707,264,010,895,155,124,101,470,577,901,607,
990,711,829,782,986,805,352,188,533,292,801,645,680,357,868,310,162,570,296,
962,244,792,983,876,455,137,153,348,740,830,964,058,152,042,127,758,822,624,
245,133,642,129,306,932,607,555,067,712,490,764,305,435,482,808,679,064,113,
929,128,822,797,734,113,293,250,965,208,182,852,013,745,695,955,886,152,507,
181,142,781,366,576,040,913,369,424,162,369,554,425,391,182,374,144,007,273,
554,424,315,216,863,190,375,587,099,758,914,398,535,510,972,500,700,293,256,
851,361,678,400,261,625,632,826,541,685,483,051,960,176,031,071,459,989,603,
902,174,993,566,097,692,643,753,241,678,220,642,040,335,948,805,431,428,067,
544,422,447,807,366,325,225,604,028,656,128,584,914,045,786,454,459,920,891,
462,600,721,684,267,879,338,269,063,075,900,903,648,089,932,200,137,119,905,
287,977,676,984,165,442,371,233,689,222,701,292,583,987,975,460,385,499,780,
558,184,745,218,485,770,648,671,138,825,547,830,964,708,171,412,960,773,398,
000,128,009,265,958,963,651,102,271,578,302,485,268,968,795,527,668,041,458,
948,798,302,057,963,442,556,407,136,221,644,560,083,069,620,745,509,465,300,
056,773,251,827,597,112,778,669,707,664,000,285,108,229,794,692,904,718,842,
548,275,402,837,885,133,152,776,558,038,524,669,065,902,941,924,257,303,852,
230,705,608,250,768,132,433,282,018,857,698,128,030,996,145,375,706,013,054,
601,819,748,171,962,986,422,343,240,489,111,076,611,466,504,264,038,488,348,
106,657,244,489,900,313,206,041,407,036,448,182,689,126,206,788,819,364,554,
398,253,650,742,470,193,347,052,068,922,980,964,921,496,277,140,735,547,253,
592,588,336,711,864,056,769,525,465,146,933,067,872,281,186,436,211,645,233,
674,798,433,392,887,464,650,248,912,820,151,468,749,226,184,201,523,300,305,
068,112,096,536,387,517,612,170,173,609,962,639,236,107,785,708,419,296,223,
900,625,395,762,608,247,600,132,580,042,794,504,360,724,481,077,506,198,734,
418,605,833,455,312,163,458,739,629,192,904,778,062,012,914,921,911,378,244,
107,383,852,165,151,095,042,503,255,585,970,529,490,345,550,966,801,767,781,
171,162,079,980,396,850,095,213,511,277,915,871,287,696,102,247,277,815,255,
958,686,935,314,513,263,210,208,808,041,907,350,092,270,063,180,026,571,962,
320,486,168,282,209,998,360,545,988,471,824,711,758,775,702,235,926,224,690,
349,824,425,188,155,156,737,957,983,309,893,609,939,041,644,943,482,101,675,
980,451,534,022,645,469,288,612,157,050,554,992,789,086,902,082,964,688,697,
455,634,919,026,152,538,652,635,929,295,189,794,730,516,453,264,859,829,218,
014,859,858,631,168,769,390,742,527,870,326,315,139,055,835,043,578,238,255,
620,139,834,557,367,611,943,269,868,329,844,422,986,978,466,807,741,825,523,
378,531,684,090,287,332,970,571,864,624,356,497,514,122,211,083,665,955,598,
222,326,102,319,900,956,805,607,550,403,530,567,224,448,242,404,808,389,544,
759,348,425,321,483,604,509,742,807,058,969,370,195,389,948,905,793,077,139,
951,896,673,407,576,684,489,599,247,123,151,428,058,017,038,207,139,153,638,
182,865,243,724,298,993,418,971,274,611,881,881,817,875,707,459,030,862,558,
904,649,859,892,622,488,498,306,305,895,526,444,116,810,803,592,788,914,627,
494,663,730,137,623,742,971,222,928,793,591,538,250,582,722,451,665,312,403,
396,286,933,610,414,977,220,001,981,372,285,270,607,609,561,714,957,428,112,
952,977,353,960,897,064,939,050,939,916,851,669,234,154,695,300,704,964,486,
784,238,452,029,395,919,207,919,068,467,508,749,656,090,952,683,409,817,690,
558,817,856,839,278,570,938,693,410,196,727,342,395,057,717,466,242,638,095,
934,870,194,382,751,740,570,890,788,115,236,311,513,963,111,198,835,246,127,
218,745,920,243,284,643,437,681,530,545,948,346,177,188,826,309,540,978,699,
662,465,613,195,731,359,731,855,910,592,708,954,000,423,926,583,353,572,848,
898,494,049,519,882,493,802,158,440,388,588,070,979,532,872,376,722,053,136,
347,365,530,874,373,506,293,911,489,126,186,789,200,110,730,981,701,421,202,
461,130,700,830,230,968,214,164,709,969,103,679,457,325,113,060,223,586,813,
432,817,367,934,919,807,008,768,420,076,513,510,527,788,760,828,066,105,720,
943,119,128,494,751,907,300,706,664,139,372,758,851,571,501,001,649,126,484,
912,334,391,584,904,618,448,082,978,774,133,221,117,498,312,480,867,838,027,
926,319,623,860,798,742,474,413,785,775,213,506,078,131,665,751,095,345,463,
206,277,188,752,461,880,647,910,396,096,102,665,546,786,232,325,640,738,843,
574,755,865,512,636,551,088,192,532,354,161,050,007,737,025,308,615,670,265,
012,418,848,809,603,479,840,880,640,579,360,601,258,666,440,569,117,753,559,
690,014,705,566,205,309,870,041,112,892,563,325,506,397,981,874,102,302,706,
957,811,223,824,199,724,990,055,256,520,413,243,826,137,543,286,777,280,884,
968,713,538,963,295,413,769,253,563,336,338,282,589,483,375,352,531,639,527,
822,223,080,390,452,402,761,112,131,982,148,406,731,308,212,479,226,662,766,
567,351,337,850,325,280,609,200,995,746,722,001,561,473,432,537,431,005,495,
326,811,684,496,851,766,574,877,068,210,543,612,590,262,719,569,762,712,632,
986,067,209,180,558,728,107,157,723,426,645,338,338,460,560,515,845,535,924,
147,889,571,557,172,066,252,882,891,616,223,503,361,911,314,226,858,499,963,
286,184,130,101,323,621,619,238,505,454,684,862,760,757,118,474,014,773,836,
431,204,282,151,175,330,315,346,720,152,627,838,336,763,763,247,437,454,094,
218,032,070,050,400,137,310,505,507,597,079,557,627,375,237,759,393,297,825,
584,639,362,555,649,548,714,255,166,349,807,088,591,298,429,265,161,164,483,
255,232,550,643,728,047,479,722,591,864,156,196,191,718,197,483,340,309,072,
020,104,600,042,940,388,193,804,229,563,433,598,132,772,202,394,987,453,961,
165,234,919,726,221,000,809,925,347,573,838,071,186,413,595,829,519,634,069,
923,251,768,399,300,951,085,454,370,039,639,062,211,336,057,884,857,383,271,
037,312,072,585,426,054,332,067,404,047,666,131,995,657,208,131,139,875,948,
645,088,748,449,914,294,289,815,168,760,856,820,486,936,190,349,774,855,735,
657,231,035,081,971,221,876,944,957,044,446,024,649,626,085,641,900,284,514,
496,607,204,356,437,606,512,230,108,647,255,676,626,397,952,519,435,925,855,
294,190,978,970,879,148,734,702,468,281,603,878,762,576,663,310,943,910,407,
950,009,646,664,306,058,405,363,978,005,274,008,326,492,868,832,091,578,878,
976,923,820,483,106,099,140,333,176,916,226,081,961,152,106,789,526,187,786,
189,981,249,480,279,138,480,214,521,896,240,923,339,138,324,324,097,050,899,
854,731,736,310,969,554,152,484,435,287,724,803,345,868,844,491,799,562,808,
833,498,867,046,907,692,826,315,037,730,263,098,760,593,349,691,404,665,077,
243,225,241,537,003,423,760,970,694,449,794,763,981,915,494,290,533,545,014,
709,509,721,405,911,639,339,158,571,063,346,720,056,756,516,210,190,654,522,
547,867,530,304,872,001,596,440,177,854,634,289,407,218,968,142,532,787,955,
290,797,292,152,994,205,605,065,663,460,008,296,236,297,738,957,687,450,028,
410,108,168,863,590,997,911,470,594,291,355,570,867,854,292,391,810,747,463,
866,816,766,642,651,929,939,011,619,957,760,451,934,468,121,931,741,147,907,
181,395,043,276,804,792,345,134,170,053,567,008,575,731,955,222,956,480,505,
903,998,278,730,739,522,016,859,787,789,065,958,295,232,650,620,772,096,479,
125,679,657,565,655,914,897,684,201,391,332,475,847,068,573,018,799,717,256,
327,238,683,607,872,244,072,468,390,431,831,650,510,405,221,036,327,458,389,
901,058,332,281,589,773,872,113,422,755,151,283,837,155,264,325,826,342,434,
720,068,815,193,238,863,578,263,404,302,634,305,324,966,471,619,972,393,518,
483,856,506,802,137,645,757,951,299,292,652,496,330,732,327,146,911,822,510,
449,715,831,016,888,879,672,014,400,870,787,383,454,745,006,791,407,445,948,
529,956,805,491,526,809,011,937,055,575,636,079,961,776,862,012,377,941,835,
248,513,480,193,316,830,936,084,439,379,260,104,888,009,720,354,737,576,955,
423,492,315,451,412,331,733,954,448,970,211,750,207,787,671,284,384,029,201,
318,678,085,577,415,578,038,832,992,782,673,048,207,947,492,033,220,921,578,
584,546,417,140,253,558,872,405,999,692,476,924,015,077,792,686,018,897,352,
362,316,549,272,338,802,764,604,878,145,900,458,795,602,974,969,234,492,735,
971,512,001,044,265,080,465,775,507,551,765,772,477,639,060,856,491,871,638,
317,387,478,474,287,389,347,828,309,093,771,662,785,381,779,990,529,445,920,
757,822,323,317,812,334,736,760,092,854,557,122,210,198,190,183,314,901,201,
467,628,173,130,618,693,821,715,081,880,129,733,500,125,752,107,696,075,843,
676,947,947,170,580,373,547,925,790,427,434,264,772,304,872,005,579,677,175,
628,075,168,749,502,633,053,974,631,123,843,256,908,164,761,637,643,668,257,
380,517,308,505,422,240,309,646,027,559,184,619,856,704,897,959,403,631,863,
878,608,106,569,637,873,741,714,715,116,210,881,271,332,770,289,983,599,318,
146,961,007,899,594,378,224,432,603,900,540,521,683,702,177,070,565,654,760,
407,996,532,627,404,614,668,620,776,724,199,433,844,271,351,814,457,458,881,
918,667,039,623,062,672,580,282,844,529,363,948,213,811,939,211,344,922,934,
452,129,904,893,179,834,377,956,827,849,530,180,770,007,242,848,898,877,725,
464,399,944,261,191,034,122,806,085,353,973,865,911,986,950,760,134,788,514,
217,242,440,490,943,404,920,211,175,193,695,305,487,740,735,818,501,250,109,
408,021,501,003,692,363,925,284,411,104,285,212,324,360,845,045,496,359,452,
257,860,778,089,976,635,319,880,094,889,054,872,438,061,589,884,428,950,268,
975,456,409,292,350,777,833,932,759,256,585,228,263,604,101,349,256,815,215,
735,944,539,990,566,575,227,556,989,924,364,675,840,962,821,073,196,004,187,
380,926,396,035,354,069,857,890,850,613,922,222,762,303,080,482,980,580,215,
715,686,162,655,105,362,026,892,715,171,771,755,686,063,047,978,632,481,467,
708,455,916,039,346,989,718,217,913,686,466,862,299,062,954,961,787,210,505,
230,580,301,252,743,041,962,044,000,703,095,805,489,090,521,728,704,706,041,
051,233,500,333,626,122,515,613,268,470,360,384,379,853,232,794,746,900,972,
597,321,698,846,953,197,088,625,746,980,362,045,128,444,015,435,402,780,731,
871,543,214,479,069,598,344,749,364,825,129,311,242,436,222,720,918,849,790,
243,753,575,478,129,098,085,917,678,757,495,210,281,966,056,876,360,588,194,
159,253,494,361,997,065,036,726,111,355,994,508,866,000,794,360,688,573,438,
702,097,175,092,783,683,948,240,928,111,505,551,522,866,853,551,161,685,096,
873,460,600,334,972,658,233,028,987,559,425,141,232,110,803,462,336,432,774,
915,142,128,008,855,017,394,172,087,368,938,827,480,615,835,458,994,037,335,
310,523,028,688,000,694,583,748,042,785,115,396,448,661,501,405,008,268,651,
079,835,774,435,633,598,985,451,556,497,932,739,150,179,751,879,858,016,799,
696,293,540,052,498,274,968,581,218,077,105,788,144,803,857,373,097,636,654,
663,254,342,461,130,175,687,363,972,738,118,485,301,394,596,918,232,195,601,
597,699,953,547,970,306,002,319,927,023,727,745,283,495,734,603,229,596,168,
378,539,786,900,629,435,258,783,908,499,973,458,304,592,756,547,457,798,754,
648,226,444,267,468,046,954,542,335,572,709,050,091,282,261,674,683,625,236,
165,476,483,343,078,244,318,927,097,846,318,946,095,969,385,818,032,362,173,
302,380,994,790,844,636,496,989,843,532,958,965,586,240,794,387,511,993,569,
624,640,768,285,470,685,646,392,318,612,867,856,921,552,755,197,246,060,320,
089,454,255,574,459,754,959,531,092,870,550,445,171,114,234,987,277,824,672,
257,719,320,137,533,092,608,593,939,087,153,046,691,871,814,987,748,961,064,
143,820,749,958,836,655,638,519,435,456,463,597,957,588,853,411,049,209,074,
139,096,123,065,710,415,733,021,288,462,164,497,054,065,694,384,851,156,975,
009,207,857,629,099,548,263,070,574,857,734,402,801,595,709,630,026,957,050,
457,159,913,285,539,813,802,520,923,057,190,314,376,324,680,445,880,821,113,
664,304,043,315,915,717,041,514,723,978,227,088,440,641,383,661,850,472,554,
645,810,606,949,011,102,920,914,969,627,251,769,387,227,158,702,160,204,158,
940,207,490,179,918,982,749,821,945,792,038,767,948,870,304,180,996,553,171,
074,534,633,702,318,613,468,071,928,862,304,409,916,691,144,582,097,103,275,
230,904,298,366,523,956,439,917,656,916,748,822,146,604,280,051,683,944,979,
608,734,628,121,388,831,319,332,239,658,002,151,387,950,521,493,286,588,088,
582,080,206,002,272,327,470,501,742,737,906,261,832,039,779,276,450,763,781,
658,418,204,317,079,021,669,138,552,658,193,351,002,880,040,283,535,714,855,
538,253,874,701,411,555,874,267,357,500,094,845,437,416,293,733,070,288,554,
497,621,320,103,958,354,454,992,179,266,540,288,037,105,271,376,389,558,920,
920,055,999,296,578,151,213,381,923,792,507,897,698,480,428,586,203,979,954,
567,778,103,559,274,524,653,848,549,090,226,250,313,761,645,051,735,337,892,
971,765,381,842,703,216,523,164,409,312,997,537,477,345,146,368,239,725,271,
407,360,208,143,614,226,049,128,847,537,353,776,987,546,605,735,231,665,206,
601,351,669,899,981,505,455,263,976,219,926,032,193,189,057,484,907,304,849,
721,001,782,299,506,509,360,054,943,779,739,693,834,305,137,883,612,797,147,
030,771,899,276,150,075,667,543,860,004,454,273,197,497,308,535,624,751,225,
533,333,839,396,508,717,367,135,442,660,110,375,308,428,051,774,472,568,919,
397,574,496,240,903,691,182,774,381,975,640,029,704,855,068,203,980,800,201,
384,822,661,962,352,938,107,498,588,962,589,504,646,367,031,154,674,663,528,
160,930,537,058,433,866,563,375,635,107,244,514,754,339,884,774,371,326,265,
182,497,871,425,219,745,889,494,849,740,889,680,804,546,761,523,434,929,065,
344,673,614,528,076,764,411,944,659,577,654,329,879,994,789,103,638,737,715,
382,455,670,853,152,981,329,329,822,887,765,568,902,246,455,131,189,737,898,
677,454,561,475,519,664,696,600,010,045,230,626,853,023,233,248,331,425,447,
468,232,678,023,055,118,618,129,731,315,745,125,956,988,492,439,054,127,774,
455,335,741,255,980,980,446,080,830,099,479,469,927,747,815,376,419,284,737,
027,512,054,420,151,790,802,704,457,657,850,826,187,428,589,928,334,700,392,
277,689,502,050,475,460,183,684,412,166,249,534,668,471,028,254,935,789,901,
133,603,273,789,022,700,489,533,324,557,149,313,432,945,187,080,469,839,526,
516,938,936,222,764,789,340,003,759,751,663,139,751,330,069,283,282,976,700,
066,547,114,167,634,543,250,184,915,917,076,574,607,298,403,971,678,146,385,
118,191,518,453,695,849,234,926,809,066,550,575,937,248,512,723,521,105,489,
474,691,974,853,057,389,096,919,030,871,257,175,251,945,958,627,683,463,539,
054,244,686,059,704,994,129,845,611,696,805,600,716,743,114,819,203,271,811,
024,470,390,353,646,352,170,761,129,249,084,138,155,041,752,595,068,101,170,
890,591,328,136,948,935,829,239,247,858,501,351,171,564,482,842,282,252,057,
660,106,023,520,467,848,821,319,371,924,625,161,280,925,766,836,504,527,491,
676,107,631,715,961,412,409,419,095,838,839,414,857,839,145,412,302,316,419,
254,379,166,302,985,338,886,007,120,906,580,396,132,866,486,472,879,357,502,
653,367,646,076,293,557,329,457,762,211,503,479,995,718,867,963,446,063,887,
245,744,729,364,453,885,380,648,459,911,237,294,977,075,589,391,521,977,634,
670,480,159,308,386,321,383,693,945,977,847,850,296,784,417,711,344,056,594,
022,423,874,449,533,613,913,003,240,173,380,721,666,573,101,179,574,982,518,
036,533,100,742,191,601,517,215,914,450,791,097,016,371,015,067,815,218,406,
323,875,709,217,245,675,574,721,601,984,586,921,084,695,888,903,614,907,456,
407,776,419,574,168,373,156,040,718,450,850,634,843,442,048,246,358,244,300,
322,990,029,588,753,468,639,292,428,030,637,808,286,461,599,863,589,610,281,
075,288,690,075,168,226,721,732,688,224,351,270,847,997,180,775,590,641,764,
311,753,035,759,739,855,761,916,893,739,491,625,901,163,891,372,145,794,063,
746,925,182,931,363,528,459,118,481,519,882,231,953,588,843,490,661,104,886,
301,307,028,538,257,014,606,192,466,167,241,201,292,097,239,103,844,118,513,
036,087,030,275,844,968,959,049,336,300,633,279,551,376,174,789,334,294,523,
626,368,098,125,309,411,955,092,811,178,296,517,882,784,329,232,419,835,973,
250,683,581,821,507,245,007,807,607,395,361,371,101,917,823,343,703,324,186,
015,496,569,149,724,626,560,597,462,348,248,603,450,326,155,751,483,228,643,
495,783,549,127,686,882,957,335,346,322,559,547,092,165,499,619,710,020,605,
988,607,288,202,339,210,040,584,876,417,590,696,523,530,236,287,660,769,969,
531,908,951,078,918,770,979,964,408,621,652,340,614,666,856,678,849,637,489,
667,424,382,898,703,933,176,130,931,087,111,351,393,632,888,187,857,245,934,
933,762,705,575,653,305,299,659,706,541,287,812,875,016,710,617,648,730,515,
827,735,606,472,139,053,786,548,236,410,498,648,755,244,257,596,006,525,752,
176,184,119,035,564,008,852,523,794,734,094,248,036,749,333,836,037,389,569,
255,095,405,192,463,987,140,107,987,252,550,016,994,780,653,170,794,754,444,
040,915,983,434,531,774,297,137,184,269,272,302,639,693,760,637,174,576,318,
215,229,037,527,361,348,097,155,711,093,966,238,278,422,175,605,529,980,277,
591,635,110,515,505,062,756,244,506,566,042,599,849,777,773,377,094,641,701,
397,459,795,835,816,947,809,896,940,439,347,255,589,878,604,151,693,334,017,
726,716,861,588,435,958,843,129,505,566,136,228,575,005,093,773,820,534,142,
526,798,432,979,395,544,330,100,640,294,238,123,472,564,019,498,483,296,275,
377,729,605,815,104,800,164,180,703,821,359,022,824,554,080,417,279,573,815,
736,459,827,371,439,292,109,671,345,310,975,404,894,757,136,241,116,660,756,
965,816,090,237,132,001,741,069,575,667,531,321,554,092,852,849,805,232,765,
332,483,048,501,071,567,305,144,778,706,900,797,677,999,203,382,827,370,957,
608,911,375,202,071,082,199,725,423,951,924,301,208,340,359,172,115,112,023,
570,955,921,101,517,916,770,884,380,872,086,634,448,046,556,502,391,734,922,
204,369,397,242,525,126,596,288,673,843,350,674,185,614,187,495,941,454,734,
144,034,792,440,953,403,052,030,963,649,673,177,281,667,384,709,993,739,317,
085,920,840,633,562,282,258,257,720,822,452,672,079,897,119,850,161,787,472,
942,616,023,786,908,394,612,727,762,977,401,921,392,028,998,857,794,024,196,
666,118,060,988,644,383,702,097,560,619,922,415,697,749,622,171,744,182,260,
323,297,184,302,978,989,501,710,322,599,370,508,667,553,495,098,192,372,583,
880,362,939,642,706,015,917,336,431,807,113,204,478,209,072,645,460,428,935,
326,855,664,215,592,068,759,835,371,016,011,136,605,576,342,190,905,590,083,
868,786,205,379,792,511,390,844,032,937,112,140,448,079,144,051,503,144,152,
153,931,704,968,636,603,407,760,799,194,977,336,198,040,308,144,935,656,291,
853,857,860,191,666,134,818,370,455,291,186,441,808,267,560,902,430,536,139,
272,899,166,220,775,757,952,452,039,670,197,778,115,210,509,781,808,611,835,
507,657,838,835,413,153,014,770,286,130,781,587,809,326,472,469,693,434,773,
914,221,348,408,543,135,120,232,232,075,067,116,892,036,437,149,024,090,501,
570,926,434,368,969,149,525,725,947,136,956,679,945,917,241,779,446,495,239,
884,257,839,384,373,540,929,879,205,986,066,980,742,085,247,385,516,014,021,
823,873,587,451,580,883,240,470,984,517,205,750,225,490,227,614,531,180,399,
548,416,865,547,687,453,756,645,862,454,731,235,236,137,400,019,321,143,358,
753,424,639,655,319,713,923,149,974,074,933,885,839,343,141,988,662,167,315,
097,840,172,336,294,401,180,443,872,550,410,705,819,764,097,641,515,068,531,
313,580,182,660,520,427,423,936,712,666,093,033,824,053,186,441,043,644,544,
756,519,139,676,060,324,205,157,026,156,633,298,175,575,344,481,701,598,323,
867,527,731,766,426,170,926,721,365,453,797,023,437,176,959,816,644,681,484,
367,636,487,204,563,929,205,529,644,393,016,481,862,288,735,008,628,502,850,
816,455,748,282,162,919,643,109,918,128,608,141,685,767,805,948,517,097,339,
062,941,917,475,343,624,502,029,359,989,436,065,219,584,431,553,763,913,496,
495,895,843,710,635,408,508,164,561,667,347,271,427,663,753,446,395,503,978,
496,648,771,978,584,553,344,318,465,475,132,496,103,268,502,622,749,540,684,
315,566,064,080,082,714,646,870,340,215,197,928,354,970,711,883,741,511,071,
905,004,319,813,363,896,890,013,654,147,123,829,164,101,658,436,360,011,673,
146,237,077,876,101,262,186,037,217,305,524,746,704,244,180,033,170,468,391,
722,570,358,138,763,511,548,592,493,853,259,118,963,052,019,002,476,372,143,
220,086,395,174,277,961,502,845,965,969,307,507,351,901,525,856,191,692,525,
017,152,568,926,500,709,404,460,018,700,177,438,890,525,381,392,142,879,326,
988,437,176,768,396,322,626,608,789,988,186,770,773,782,655,120,364,533,972,
010,763,559,448,968,657,617,186,564,277,689,831,430,243,807,339,340,090,766,
941,298,747,869,078,938,707,707,521,305,453,906,904,663,952,544,064,068,507,
841,228,092,202,033,306,606,796,803,906,651,658,455,644,145,822,774,832,802,
164,226,645,782,639,163,758,400,439,109,477,135,744,612,182,617,790,358,997,
073,210,836,361,951,718,192,406,316,767,504,480,144,604,383,982,701,754,770,
346,879,902,615,524,525,625,316,179,171,217,636,931,196,824,738,960,709,115,
409,754,249,213,919,674,818,991,503,248,590,621,024,776,773,046,884,759,985,
187,642,872,124,889,434,810,576,234,006,376,826,976,051,699,668,136,615,788,
625,862,448,916,863,251,334,681,307,217,425,405,732,575,875,243,727,360,335,
440,377,167,840,490,285,662,088,736,876,792,907,817,746,869,379,714,215,566,
586,397,025,677,460,430,324,349,045,332,350,863,129,081,766,269,504,923,262,
239,551,181,077,569,402,027,416,123,640,837,991,009,365,325,887,439,452,571,
714,317,123,793,996,496,356,058,177,818,029,795,127,635,108,274,265,309,126,
334,714,584,050,033,556,473,671,898,182,497,798,120,005,425,660,960,023,352,
825,700,627,809,033,107,334,369,803,789,200,791,941,197,861,852,154,462,317,
777,294,986,914,276,497,078,622,182,358,760,537,885,689,601,109,763,349,000,
758,506,239,342,584,607,484,583,561,995,121,124,846,376,010,649,862,011,939,
615,500,690,935,260,392,304,732,035,567,052,247,317,028,430,726,806,131,487,
066,036,609,198,505,593,568,082,029,841,174,501,283,899,368,688,948,831,734,
893,860,260,391,094,677,812,268,934,143,045,844,069,783,315,526,866,444,038,
305,062,459,314,012,754,299,851,054,912,999,895,698,843,190,699,634,242,840,
644,550,648,088,151,709,568,469,336,738,556,563,472,543,678,586,476,677,802,
099,860,211,968,602,213,890,535,612,287,620,157,708,380,897,832,783,285,137,
553,133,260,071,149,234,217,650,341,016,790,562,524,592,596,283,934,366,178,
713,405,137,249,332,981,346,240,891,919,157,137,290,887,440,826,852,791,436,
052,931,577,709,400,187,112,818,215,059,567,775,651,143,768,534,975,535,190,
494,407,880,945,980,999,938,244,300,457,296,231,689,696,456,102,769,913,015,
785,324,325,162,850,189,111,254,503,948,586,014,020,628,782,286,947,857,859,
398,341,544,415,610,613,427,411,647,520,725,087,499,684,915,159,002,151,793,
987,823,897,368,973,628,808,408,993,109,099,268,846,357,043,158,904,255,351,
572,577,007,571,925,061,318,031,106,244,922,745,449,833,511,294,084,867,587,
422,132,782,820,679,025,411,447,016,108,363,666,248,667,559,693,706,067,846,
639,024,777,640,802,336,236,098,862,186,511,056,574,186,880,626,396,475,375,
381,871,636,392,959,891,357,100,146,628,946,681,904,637,445,793,166,860,589,
202,442,361,642,232,363,356,554,486,226,180,796,826,966,926,089,084,543,879,
148,822,378,471,257,201,626,108,498,803,340,423,308,449,766,935,509,293,525,
902,857,396,482,578,463,887,452,812,973,057,271,151,407,393,445,198,555,002,
255,125,785,542,414,600,214,372,279,419,150,181,147,553,753,230,099,252,404,
103,923,781,232,667,078,326,890,281,585,036,860,226,772,113,323,774,588,969,
881,502,266,696,731,381,079,994,103,857,747,578,856,661,249,908,413,660,307,
406,397,298,410,285,769,096,871,946,728,500,289,962,392,472,208,735,180,950,
201,570,713,259,658,035,821,354,919,794,957,286,529,511,936,555,089,634,498,
775,635,776,704,207,168,440,988,542,110,428,337,041,499,657,580,559,817,170,
427,289,594,635,469,705,668,121,882,395,313,060,222,544,296,552,568,418,233,
150,360,428,951,091,394,739,501,027,008,314,424,469,992,828,029,875,746,764,
480,912,340,509,225,506,986,949,756,300,512,398,403,964,870,190,950,889,574,
567,148,489,573,240,278,757,769,978,746,595,258,843,384,299,078,728,778,312,
349,746,978,280,344,356,944,513,368,332,389,955,912,593,932,256,255,854,238,
822,153,036,926,592,999,077,552,861,659,972,022,756,305,643,398,984,175,169,
911,886,279,377,482,697,953,266,487,395,137,391,999,551,571,685,601,134,021,
487,237,536,301,586,171,060,988,125,185,943,847,396,259,915,513,095,488,281,
004,647,093,675,510,334,633,218,346,104,263,825,881,257,272,279,875,328,026,
685,196,528,410,438,772,444,565,522,745,239,328,242,072,803,687,234,559,661,
514,918,756,116,755,036,330,262,044,345,068,914,089,749,460,064,545,662,329,
135,710,017,798,201,429,043,051,162,252,405,850,374,319,338,497,218,680,693,
585,717,576,723,963,902,747,869,457,294,018,311,782,498,363,542,751,972,019,
957,376,123,422,739,462,821,291,144,733,413,555,920,566,344,679,685,119,644,
422,943,436,775,821,401,312,265,431,073,344,986,008,723,316,983,550,669,349,
030,842,195,567,109,321,803,551,134,112,995,241,159,711,124,210,751,289,146,
588,782,100,197,198,933,185,336,449,206,652,354,481,253,492,476,470,089,211,
517,942,656,794,695,448,673,107,689,281,648,136,397,620,851,190,400,026,026,
847,188,421,254,714,444,280,938,651,067,923,029,351,851,863,224,363,633,487,
029,209,884,923,003,991,721,844,358,475,977,545,756,258,690,088,121,255,891,
649,031,150,703,258,172,725,660,361,082,091,247,678,837,475,218,145,322,590,
681,977,594,940,471,351,230,639,064,567,975,681,143,805,242,060,898,603,354,
520,487,433,231,129,264,555,184,465,325,634,963,076,324,969,034,696,472,292,
428,373,222,942,021,119,706,085,176,509,975,722,254,636,893,105,126,251,811,
708,236,991,198,880,641,786,731,500,156,352,671,358,141,592,568,154,006,899,
806,601,067,805,845,559,086,396,086,269,791,821,689,852,848,986,783,986,380,
125,167,880,597,719,407,284,604,471,878,008,642,446,218,075,743,239,200,540,
414,127,107,064,995,799,340,245,925,330,548,507,742,489,507,541,601,991,079,
388,954,769,097,008,680,209,206,449,743,798,859,669,921,627,479,096,646,202,
265,785,291,366,584,504,757,048,610,579,246,235,475,821,229,900,920,757,388,
816,497,227,331,041,428,404,435,823,433,434,580,598,803,516,840,672,174,367,
181,971,179,389,936,589,044,354,662,014,534,222,147,012,313,359,912,890,642,
959,864,956,071,054,276,099,616,966,948,083,610,381,081,357,522,119,792,143,
760,518,147,344,975,786,512,630,237,858,140,150,630,735,986,625,150,523,708,
192,047,459,150,264,504,072,972,790,723,652,609,345,892,332,489,706,711,012,
053,016,132,439,222,935,369,837,063,903,705,633,333,750,710,213,759,070,799,
570,926,623,991,207,901,523,852,273,279,854,947,254,155,118,106,554,969,442,
842,087,937,712,865,281,918,656,237,723,306,219,983,435,901,561,196,670,580,
935,333,472,838,628,585,664,338,794,169,005,716,949,692,605,508,776,428,868,
938,188,982,659,521,739,922,487,704,263,643,223,244,109,474,526,550,773,470,
501,361,966,000,042,635,579,293,685,882,534,629,079,795,759,017,210,189,822,
890,310,595,500,120,576,822,213,637,074,250,775,300,932,584,728,346,104,030,
731,705,249,010,944,160,688,849,402,772,451,941,440,622,787,514,246,444,961,
543,751,775,666,586,515,812,143,620,188,543,516,253,842,534,675,624,128,871,
910,125,132,237,679,198,423,886,369,429,872,645,572,146,458,456,426,008,006,
890,614,438,097,835,433,922,704,684,129,999,530,398,392,958,658,987,505,258,
537,376,176,907,200,987,115,905,966,892,337,862,888,423,128,404,570,855,773,
893,737,056,319,107,853,045,044,945,299,936,954,442,959,837,104,100,459,239,
739,341,825,295,046,087,976,890,315,452,490,823,814,114,406,041,549,243,345,
690,629,685,429,896,746,984,218,983,641,118,163,877,515,271,118,391,711,082,
331,233,030,082,697,279,429,572,114,084,467,362,501,669,867,745,784,600,606,
331,232,636,619,490,036,781,660,954,644,437,005,366,892,467,647,750,033,951,
871,653,182,529,005,608,826,483,961,070,738,483,880,082,661,893,921,077,482,
564,733,347,373,473,388,659,692,586,994,956,196,036,091,001,053,735,243,937,
959,750,663,803,268,783,306,385,732,607,625,225,615,605,418,971,354,395,827,
425,563,915,961,454,791,934,003,343,241,206,832,552,466,178,254,144,824,016,
465,131,135,631,185,653,962,502,091,137,019,176,531,304,486,749,454,150,541,
548,068,732,100,803,912,346,848,355,666,997,266,836,352,581,738,777,822,990,
250,905,374,213,873,801,577,564,084,128,143,853,413,543,572,386,138,456,548,
310,393,920,252,835,999,256,527,706,817,466,752,750,680,880,796,468,550,343,
835,494,927,192,646,423,062,593,807,418,295,656,012,635,186,528,438,234,215,
535,736,851,968,805,912,811,351,924,101,759,511,686,388,530,048,035,418,068,
496,057,659,650,340,272,308,316,240,244,332,966,875,607,609,058,840,239,324,
927,595,322,849,331,455,415,778,935,576,355,128,924,685,056,161,214,359,699,
324,416,729,821,156,095,782,988,108,021,502,504,890,420,437,429,312,535,192,
978,854,990,723,589,172,709,751,767,046,802,542,821,985,149,248,177,866,921,
725,902,993,164,447,738,718,696,205,387,731,024,085,245,483,330,369,902,723,
814,580,913,476,451,501,117,516,760,550,394,506,307,588,111,705,847,662,223,
556,466,227,909,478,253,200,404,559,620,424,089,638,142,154,877,839,395,385,
497,683,389,342,012,312,802,241,160,278,247,156,101,168,133,258,725,527,865,
502,867,242,946,189,126,796,887,817,071,966,073,584,877,759,791,115,242,490,
713,341,220,178,204,453,504,106,412,663,041,322,224,572,450,564,508,564,098,
499,396,274,191,929,911,035,064,322,975,865,588,397,767,881,055,015,426,426,
174,187,846,797,387,236,023,506,704,749,806,233,367,623,090,129,149,990,004,
910,874,143,352,264,991,984,760,179,954,711,136,509,735,652,185,773,836,369,
402,823,538,605,503,820,858,096,527,867,107,903,798,147,961,523,974,103,087,
045,696,177,576,794,038,119,585,405,486,062,337,976,587,609,841,900,246,350,
805,159,665,414,369,727,182,361,852,802,980,100,192,075,746,760,469,749,899,
967,950,408,919,834,609,936,930,743,511,784,178,857,357,990,219,897,869,159,
567,421,087,433,187,082,624,032,238,559,367,419,878,358,180,825,662,777,356,
904,674,961,451,147,722,622,873,030,848,215,157,038,270,287,289,545,790,769,
074,516,400,471,412,961,749,854,192,262,309,945,788,408,538,370,010,168,248,
464,094,981,762,685,117,825,577,124,666,767,505,010,924,027,549,675,334,504,
068,218,529,912,650,512,224,842,930,843,843,925,500,830,340,928,889,349,459,
527,974,977,058,054,210,480,007,801,922,935,209,111,613,687,335,376,274,997,
060,925,613,558,503,232,541,985,047,210,476,762,040,369,587,937,346,628,829,
403,083,319,813,850,643,511,483,169,263,683,910,458,408,978,883,054,361,002,
205,482,553,343,779,504,059,103,132,193,290,025,906,983,701,492,048,244,041,
033,211,058,360,610,207,403,979,781,859,584,700,537,836,801,043,394,646,961,
924,489,951,997,651,315,647,704,478,251,455,603,361,566,926,355,777,731,890,
621,029,588,985,934,012,956,514,179,304,027,158,488,633,550,575,927,693,993,
558,904,830,350,696,711,438,285,958,269,524,290,210,018,954,377,978,446,475,
818,055,170,061,513,569,211,490,673,663,892,454,285,385,077,105,069,860,291,
930,401,525,096,648,825,858,654,949,900,561,159,141,139,828,260,242,576,274,
742,253,168,493,052,863,912,491,429,814,653,212,536,631,037,007,840,323,819,
485,291,685,896,623,760,224,970,309,168,694,703,562,396,505,534,626,313,268,
315,581,182,438,777,021,478,178,354,186,448,685,912,303,211,846,094,616,951,
186,467,583,792,240,151,041,884,446,310,890,103,459,479,268,894,912,252,580,
573,133,560,665,723,752,761,760,808,395,530,980,303,671,413,135,214,029,074,
952,529,203,872,138,368,611,894,201,142,490,354,367,685,856,339,099,766,629,
456,040,268,336,916,445,115,246,476,164,072,779,490,572,994,693,621,279,730,
498,396,261,471,425,976,338,071,751,728,184,062,975,882,238,285,957,616,710,
642,022,287,481,424,564,678,328,015,652,222,291,723,320,765,038,450,178,925,
408,579,722,462,479,905,008,614,982,547,894,304,525,284,271,120,297,911,958,
397,497,756,316,312,373,553,151,628,821,386,393,330,851,043,181,040,848,672,
058,929,094,837,654,961,461,748,773,620,515,032,057,263,950,515,523,987,020,
865,431,217,207,407,073,235,365,576,231,181,318,034,505,687,679,240,780,428,
247,416,297,727,053,647,821,837,688,146,938,333,984,149,381,408,887,554,142,
334,014,357,991,850,105,648,816,444,354,577,020,054,969,220,206,922,646,388,
042,186,815,290,260,123,735,222,785,771,212,530,820,508,172,332,188,869,300,
243,753,730,755,317,185,857,012,161,172,564,125,442,738,502,032,529,227,689,
043,136,490,893,934,417,720,613,004,197,229,915,180,660,775,781,074,350,449,
431,030,986,406,997,794,376,666,948,822,342,219,044,567,497,295,384,598,915,
593,345,635,393,187,887,164,477,275,363,460,165,700,596,188,928,997,836,151,
091,049,860,816,742,845,731,861,070,689,180,855,604,261,189,108,950,152,335,
391,998,125,565,083,670,550,322,501,687,651,303,798,539,498,846,675,505,141,
744,994,057,092,727,127,063,782,895,234,486,488,052,691,491,967,881,879,940,
046,760,695,535,791,791,768,783,820,220,545,145,169,768,434,799,156,621,221,
986,300,870,772,491,699,304,501,511,251,043,353,901,611,275,320,361,854,523,
455,832,180,418,681,791,012,088,831,465,159,308,065,465,445,489,094,236,193,
355,385,226,519,557,249,978,522,715,638,885,018,415,666,604,790,763,227,811,
910,890,465,379,190,425,802,672,688,266,361,102,638,252,431,374,197,803,814,
871,077,124,816,591,038,360,703,781,981,651,170,967,158,721,989,763,630,059,
256,541,325,942,557,740,688,659,615,731,319,725,114,192,677,079,762,445,752,
030,708,448,405,366,427,447,949,814,656,063,008,272,828,192,358,378,569,522,
190,540,272,401,082,402,879,297,196,891,373,336,418,552,078,306,981,194,732,
614,762,288,955,509,868,021,155,870,645,267,704,005,681,500,760,848,865,455,
351,878,760,716,095,698,116,960,553,008,898,907,224,099,020,465,575,670,405,
677,464,039,963,928,172,912,193,841,383,073,070,330,001,971,746,537,308,636,
377,610,172,924,342,551,586,252,973,741,665,075,134,598,403,122,296,264,912,
084,517,790,831,767,097,765,750,155,150,732,888,281,342,780,467,416,649,626,
421,149,246,966,375,125,732,773,176,116,911,838,288,849,585,879,507,835,705,
560,238,604,151,740,283,574,725,018,732,671,179,711,739,726,884,758,674,605,
046,232,931,860,583,646,192,839,999,526,557,676,822,044,600,586,728,634,623,
540,205,600,146,535,295,540,909,577,788,778,295,634,520,465,733,423,556,350,
095,861,197,277,566,754,495,822,538,064,098,789,474,999,797,690,273,739,579,
817,878,326,387,149,651,317,363,581,337,816,833,184,484,024,697,748,731,070,
430,105,073,263,824,501,679,931,177,934,361,897,558,399,211,579,701,439,450,
792,778,403,887,645,453,416,825,327,802,818,800,939,475,953,644,283,229,051,
794,136,719,433,826,697,463,993,656,923,180,495,646,217,893,085,652,396,870,
204,790,541,738,586,564,682,149,688,116,734,924,756,284,375,189,905,619,321,
120,312,660,910,269,195,607,672,595,162,189,318,684,045,049,000,822,719,734,
487,962,027,663,805,198,400,950,976,336,459,002,279,753,677,699,419,323,275,
715,086,966,332,000,550,517,096,511,662,186,681,720,001,987,982,178,692,820,
936,092,624,150,771,778,852,729,662,166,053,145,161,116,117,341,043,475,725,
288,966,972,872,978,276,165,218,830,205,022,086,259,052,553,292,067,359,630,
449,183,230,678,415,770,738,012,137,794,474,042,639,725,784,404,818,321,757,
911,165,215,027,183,906,641,309,491,593,739,893,758,348,305,568,939,545,452,
349,301,728,828,277,282,678,688,212,916,441,673,401,711,243,906,919,994,320,
006,848,354,466,479,221,651,174,335,075,477,420,039,017,222,731,728,447,689,
738,077,801,155,795,902,171,727,135,241,382,900,315,082,551,353,980,591,473,
762,720,909,584,613,936,086,233,976,048,753,763,404,377,803,504,716,390,410,
312,606,103,784,922,074,603,924,452,251,836,361,916,963,179,774,926,671,494,
755,654,080,701,390,969,881,576,639,725,902,061,071,990,468,080,157,773,567,
091,625,778,884,622,376,330,693,930,985,535,581,317,483,024,093,751,966,573,
547,759,173,132,112,190,656,815,611,833,869,039,983,447,356,573,108,386,112,
027,832,551,973,918,746,879,020,795,721,951,523,285,218,282,105,021,786,541,
582,233,036,382,753,360,005,819,437,176,201,928,646,917,550,644,706,025,470,
902,228,401,849,122,305,682,297,712,690,138,769,342,614,158,704,917,906,174,
803,322,506,238,363,289,001,998,500,014,641,248,862,210,800,200,946,300,320,
457,651,159,199,401,195,443,995,379,559,087,014,627,661,450,745,325,046,143,
302,159,176,654,230,872,439,974,661,474,522,859,830,324,044,520,313,895,636,
073,422,942,522,770,161,619,322,876,907,297,973,770,506,619,188,853,854,599,
223,932,293,359,330,038,710,895,773,600,573,888,373,471,580,644,024,959,759,
158,031,245,895,640,425,862,934,988,673,374,198,460,192,282,511,632,654,038,
059,463,707,757,954,165,270,432,062,481,902,274,017,062,423,331,461,311,160,
890,172,819,586,438,040,117,197,783,098,759,945,654,761,934,718,677,799,763,
483,473,904,294,449,885,113,191,270,902,946,886,005,411,847,368,659,835,731,
284,770,339,901,074,246,324,746,688,982,193,466,639,962,241,998,651,339,789,
160,901,400,061,655,231,935,311,839,228,495,864,054,799,769,140,736,456,344,
733,663,710,640,103,458,664,236,571,913,544,055,021,937,456,525,112,456,486,
493,103,502,880,317,747,335,908,210,878,982,202,194,940,036,805,931,309,002,
370,400,587,918,949,872,018,137,505,024,039,369,877,629,626,986,051,053,039,
450,817,098,651,671,232,486,682,733,518,749,362,630,463,857,803,123,673,151,
153,851,892,246,728,347,582,654,402,088,247,038,793,059,268,170,812,567,292,
861,621,706,611,416,281,576,775,793,823,670,242,307,451,492,033,394,027,102,
525,063,169,578,744,004,439,195,010,617,077,819,411,107,082,953,602,220,210,
859,157,754,120,756,729,263,445,209,013,974,933,856,580,072,409,268,040,031,
414,645,130,019,544,510,767,052,915,490,387,982,156,397,285,135,052,087,542,
941,895,766,705,668,144,562,152,415,426,362,187,704,987,225,488,397,574,709,
018,934,067,487,287,268,880,087,279,256,943,796,874,668,665,676,824,376,726,
319,194,228,955,300,361,703,337,543,140,361,899,879,950,809,124,738,310,914,
545,607,962,257,831,615,524,207,639,302,038,358,587,738,831,137,795,490,077,
862,761,899,597,493,652,284,801,637,571,604,980,995,221,872,194,228,783,632,
316,668,363,181,755,115,503,048,957,689,595,813,594,377,149,529,270,861,998,
327,062,082,186,494,614,801,974,888,924,420,398,284,278,918,151,501,259,483,
493,536,178,129,175,060,134,876,336,553,659,084,090,396,649,003,530,760,185,
336,783,119,607,670,295,689,532,450,547,659,994,846,969,484,249,153,153,295,
317,751,559,594,975,606,054,551,998,802,203,293,610,850,879,587,077,978,253,
679,527,137,621,630,539,839,855,042,025,976,801,068,053,097,098,295,107,616,
649,136,797,044,621,226,482,773,077,277,215,729,077,890,580,744,620,809,315,
862,743,887,401,491,641,093,079,050,769,676,321,926,604,723,439,738,533,826,
379,961,304,934,336,812,011,964,742,779,789,337,271,604,081,293,567,756,810,
771,676,605,987,492,415,830,797,530,883,519,462,182,701,482,028,028,847,529,
916,568,428,021,994,806,850,610,429,346,105,182,611,880,199,975,781,190,042,
768,089,243,568,331,625,699,203,265,727,993,667,867,614,233,255,715,736,919,
727,789,986,037,366,656,191,629,627,611,966,871,719,988,646,243,249,361,554,
512,923,413,030,161,313,189,191,583,881,894,904,179,466,951,178,515,901,074,
550,872,854,501,536,805,573,962,675,964,893,567,689,983,219,148,297,004,364,
293,785,384,190,453,980,803,751,825,033,942,746,604,313,875,167,159,981,429,
085,242,549,172,230,081,413,623,737,187,273,574,022,115,293,441,809,640,509,
573,110,245,447,148,304,165,442,982,895,671,259,612,464,941,306,799,332,865,
373,473,433,429,135,822,351,153,701,842,361,809,587,386,597,099,769,151,745,
129,594,911,356,681,415,605,737,372,785,173,760,464,661,869,031,600,373,612,
561,439,847,665,462,472,867,880,063,189,214,667,538,517,234,142,583,612,087,
621,789,819,768,495,920,989,360,570,279,766,723,405,804,849,121,563,516,920,
623,287,649,080,021,720,559,099,708,394,802,974,616,242,275,115,317,398,929,
586,533,986,237,325,638,581,423,304,063,993,142,183,233,906,925,295,706,974,
739,568,873,679,528,678,730,118,211,173,166,644,438,907,781,908,018,794,568,
917,092,554,575,647,309,524,297,977,721,406,308,828,564,580,188,043,653,260,
628,027,821,047,971,613,945,627,950,117,101,963,157,323,899,890,150,360,499,
569,435,046,685,734,801,776,822,377,925,104,765,206,540,300,205,999,527,318,
969,929,079,187,592,318,009,059,468,360,853,624,294,504,838,067,321,545,432,
751,781,643,617,109,402,465,548,869,018,922,189,372,133,140,318,164,587,610,
274,892,290,213,395,108,537,922,147,104,008,359,753,320,952,648,655,612,134,
629,637,952,292,184,772,364,484,903,094,379,044,907,365,244,619,305,805,832,
069,821,769,180,522,186,087,813,346,428,008,387,545,775,171,449,200,207,360,
212,613,784,578,818,196,923,891,340,422,692,983,585,909,059,499,239,195,171,
572,150,634,500,257,671,803,037,548,700,399,492,536,146,841,112,900,069,645,
376,814,995,295,378,643,525,423,437,740,095,751,682,367,839,609,935,000,069,
465,710,033,501,452,228,067,043,421,024,082,920,362,282,197,211,965,231,933,
056,700,206,818,435,055,262,400,632,444,243,935,440,268,096,527,586,348,116,
217,637,766,592,495,199,479,802,248,283,356,056,417,006,259,469,801,141,281,
957,492,362,901,966,433,427,377,682,367,527,874,845,538,614,146,288,998,544,
468,436,242,163,057,572,554,668,887,440,554,370,531,949,773,829,044,769,927,
628,097,656,300,302,416,385,184,425,732,140,791,259,211,355,341,528,128,325,
405,489,347,257,466,541,594,565,326,732,466,664,444,716,879,778,316,844,815,
439,134,957,153,415,258,712,072,455,359,124,319,320,209,510,060,582,184,661,
558,076,882,536,129,780,347,947,855,838,376,112,848,681,192,926,493,748,091,
959,848,326,496,333,032,802,284,147,701,060,303,638,786,820,270,172,145,579,
311,294,875,722,311,220,215,628,598,731,653,450,743,004,753,252,134,616,452,
218,469,216,147,402,031,096,948,891,320,870,915,726,781,541,577,405,270,966,
150,428,044,647,303,451,725,349,524,255,929,948,290,676,625,526,007,326,502,
644,729,219,999,645,292,071,725,107,798,101,049,987,985,493,356,085,205,496,
744,362,189,899,284,657,108,976,920,428,354,756,997,415,400,981,674,396,904,
275,180,633,406,305,347,863,123,542,783,982,826,352,611,199,924,744,359,911,
596,939,454,038,124,701,800,144,765,361,452,083,492,484,252,419,340,069,829,
044,869,006,504,260,817,007,608,493,584,864,525,231,080,508,295,950,512,609,
856,181,960,185,965,435,157,551,232,307,845,723,046,448,236,742,277,560,980,
028,250,560,711,480,436,146,948,921,416,095,832,003,738,543,144,868,213,351,
361,115,894,219,068,370,215,836,958,601,738,430,511,545,909,039,366,252,320,
545,529,591,878,697,637,594,548,203,448,331,378,204,427,133,331,275,847,683,
621,036,832,537,912,975,358,611,846,299,480,971,759,091,508,095,026,344,239,
814,227,769,562,796,102,245,219,763,707,356,316,984,839,337,073,180,768,838,
895,649,953,366,813,934,195,789,297,070,191,086,247,523,718,443,344,780,839,
004,159,168,355,590,150,508,790,628,868,026,844,742,282,701,648,661,239,863,
337,385,737,461,509,371,862,803,985,527,887,775,208,029,837,859,548,797,308,
277,622,843,625,895,534,822,905,764,193,495,158,915,494,394,501,712,607,029,
539,902,039,973,290,838,955,472,362,444,974,717,860,912,373,245,895,982,268,
758,843,137,659,377,266,603,503,802,194,788,673,303,878,990,139,916,114,146,
877,264,860,191,562,793,531,060,099,468,570,052,554,527,410,375,815,186,424,
481,239,110,384,120,580,719,641,569,135,139,185,938,698,171,762,960,196,758,
303,630,478,893,796,662,074,292,906,111,889,565,469,893,228,287,264,497,417,
676,593,850,430,046,052,105,912,023,210,421,973,191,447,585,635,191,207,347,
639,575,373,949,384,971,698,801,989,830,810,587,452,623,450,685,813,937,369,
337,230,157,650,825,460,934,178,715,690,988,827,403,436,299,323,351,765,527,
984,220,306,741,239,851,635,342,331,213,155,022,931,880,689,707,173,496,838,
839,790,046,847,884,507,157,528,869,096,342,473,206,430,809,683,821,454,246,
644,759,143,335,816,717,660,926,722,193,722,444,853,888,908,029,714,013,410,
693,698,436,906,919,779,356,845,473,571,343,229,082,437,845,870,954,606,399,
632,809,219,073,359,367,008,948,950,543,285,631,797,954,663,318,019,202,963,
007,460,574,337,174,407,422,111,392,343,456,289,569,913,551,790,954,291,773,
195,754,109,214,031,451,250,964,977,391,702,226,562,497,767,566,573,717,733,
739,181,054,154,987,467,897,440,706,699,721,596,690,569,796,370,992,650,368,
003,038,507,939,878,807,563,782,809,592,929,619,875,558,618,015,654,885,051,
318,180,900,018,079,860,954,530,938,937,695,481,976,124,450,686,508,851,514,
598,234,000,939,424,022,276,159,685,177,852,999,960,470,130,334,731,931,240,
332,131,420,750,812,622,382,775,027,805,477,478,019,286,388,929,104,570,833,
873,218,387,101,047,810,223,371,616,919,038,105,639,052,030,871,137,936,332,
172,701,093,823,833,302,500,242,321,952,704,197,615,948,290,566,615,431,195,
879,015,350,456,457,038,983,845,949,018,632,428,908,200,159,916,641,048,558,
301,327,400,842,591,892,241,559,740,507,719,448,043,497,522,541,632,244,390,
054,208,222,341,293,066,066,264,080,569,164,704,399,704,078,180,055,892,537,
855,253,275,035,949,897,923,028,335,033,358,139,656,857,424,765,751,421,170,
122,006,953,217,833,552,747,120,754,138,104,604,103,795,491,817,015,439,661,
013,767,958,878,906,284,045,589,380,084,644,870,271,427,876,163,086,809,585,
787,812,181,084,044,951,838,618,401,472,703,025,538,284,029,149,108,329,680,
742,901,808,268,455,896,272,088,173,092,220,061,347,489,726,914,112,885,707,
491,800,876,177,162,407,511,015,739,527,002,979,441,099,138,480,154,149,721,
224,670,555,677,108,647,491,526,436,844,876,500,197,767,700,112,197,863,792,
725,202,345,096,533,012,697,445,697,908,089,751,743,834,113,070,420,190,588,
948,761,933,659,120,633,299,194,920,713,328,313,645,547,056,840,454,756,082,
310,964,381,150,224,115,970,789,453,166,963,948,727,120,392,463,120,707,953,
578,236,229,449,443,806,273,427,905,168,023,735,442,346,955,197,379,443,484,
107,882,348,959,100,949,435,575,593,350,701,783,888,037,496,578,028,750,756,
423,205,614,208,047,032,133,623,926,445,093,248,396,456,707,563,326,982,946,
406,255,902,375,283,542,776,763,882,788,549,626,481,550,256,988,000,059,897,
480,491,181,940,103,076,027,742,388,557,275,337,690,140,973,750,953,477,350,
428,302,437,341,463,930,434,197,907,539,846,498,417,447,974,769,012,985,703,
699,392,915,031,116,568,263,261,514,955,827,083,428,969,035,219,551,060,948,
545,295,745,680,865,213,131,420,051,096,632,494,501,368,305,066,138,042,845,
157,221,329,072,155,070,980,357,412,796,067,442,028,394,933,440,795,825,074,
018,001,604,769,677,491,003,768,790,118,618,491,296,108,510,477,945,900,732,
075,920,895,927,442,778,734,539,827,133,002,688,427,438,836,738,946,324,284,
383,007,849,216,356,720,900,844,700,166,868,765,750,509,084,002,782,052,826,
174,181,063,877,149,959,242,678,132,771,134,074,883,668,167,455,361,867,692,
916,308,093,774,231,871,338,985,465,807,690,820,948,234,571,714,042,601,990,
034,473,641,817,062,152,606,096,837,064,274,466,508,246,461,578,768,335,045,
804,663,577,776,328,459,997,666,861,191,807,978,875,995,186,895,853,834,958,
604,454,312,157,718,835,265,242,383,263,887,272,813,853,188,790,752,841,324,
456,958,042,656,650,371,266,399,464,264,143,845,940,076,598,367,961,678,525,
680,131,138,040,459,588,547,971,399,361,105,919,115,791,269,730,576,618,693,
391,803,480,994,371,446,707,116,922,662,491,200,448,589,156,285,851,768,459,
105,547,348,479,554,878,058,395,222,385,433,050,586,632,472,822,508,620,129,
223,119,346,465,787,889,963,045,916,977,588,037,104,899,433,380,188,617,813,
508,487,460,511,903,127,616,482,807,218,678,787,862,467,374,229,175,844,503,
884,447,108,385,056,849,236,087,777,950,837,827,767,694,697,393,299,573,556,
111,695,102,919,489,831,697,388,897,475,654,139,666,528,876,359,544,173,766,
092,575,430,236,974,237,311,482,645,054,751,000,143,586,056,938,481,867,647,
185,430,610,816,485,973,187,857,404,884,562,378,016,243,838,012,100,956,656,
465,700,603,681,852,194,180,671,306,600,135,825,818,835,909,083,013,180,464,
072,243,165,070,295,119,454,971,810,869,872,607,968,093,208,987,531,578,715,
253,798,752,894,937,285,457,232,792,572,284,945,646,913,987,655,783,050,084,
865,154,081,866,298,581,106,295,485,443,803,863,008,017,072,045,388,683,984,
445,689,158,172,568,020,270,049,147,646,075,394,798,872,951,211,505,664,501,
469,491,080,949,979,674,750,415,295,068,756,214,498,927,271,292,349,712,030,
868,263,040,329,578,457,411,591,053,541,701,468,097,834,810,745,818,528,969,
374,629,214,339,981,316,434,371,932,836,783,110,421,276,642,769,614,105,165,
809,021,199,519,126,135,841,304,256,219,526,707,495,027,405,819,028,689,575,
214,607,726,827,405,766,598,434,324,523,003,563,474,589,557,541,475,307,741,
870,466,144,407,815,074,814,888,417,557,907,810,308,706,424,330,593,822,983,
426,964,211,553,072,287,044,382,577,121,020,334,974,787,683,606,533,365,127,
350,718,531,817,102,851,189,144,845,912,019,054,148,944,105,101,256,524,396,
893,521,395,723,161,250,401,400,380,707,495,042,364,011,164,193,132,269,465,
505,254,582,857,229,169,026,673,343,440,849,854,370,501,799,792,472,016,338,
937,678,671,789,484,444,867,661,109,769,822,165,451,381,641,185,869,720,243,
000,872,993,341,793,955,732,351,590,648,939,566,299,494,744,937,115,553,855,
247,875,087,705,970,488,201,993,622,368,017,141,038,156,727,580,754,261,098,
915,249,424,648,003,335,003,520,420,155,434,576,314,011,147,365,360,448,043,
807,132,157,995,477,004,509,614,168,744,857,049,060,136,855,248,874,029,529,
480,308,821,462,382,151,292,880,623,179,424,452,541,123,905,555,538,487,999,
714,293,720,698,369,854,272,327,810,281,021,664,583,963,436,252,798,909,735,
868,978,456,394,346,924,120,822,054,404,731,816,400,294,238,834,071,888,121,
560,111,688,032,823,961,210,551,072,889,505,996,716,739,713,011,399,860,766,
085,469,223,641,635,092,496,403,250,710,420,738,983,960,221,977,494,081,126,
562,184,122,322,913,419,920,403,786,710,150,691,120,570,263,927,325,328,525,
119,798,972,155,942,691,080,824,378,682,664,219,126,744,418,300,782,620,428,
303,479,007,397,571,627,714,098,783,362,692,999,185,201,384,781,243,972,632,
970,321,173,271,449,557,980,431,420,427,333,273,542,310,567,007,890,955,551,
354,453,521,577,919,714,089,421,315,248,000,037,944,634,543,758,091,872,396,
813,572,326,132,185,672,412,345,746,350,914,740,892,114,715,507,791,090,085,
876,669,777,984,028,099,157,115,878,572,085,890,176,617,202,214,792,810,532,
786,855,284,949,304,104,001,601,625,529,111,056,540,903,192,932,755,716,065,
782,452,794,922,897,398,236,488,135,610,834,535,371,817,388,550,217,118,382,
780,164,154,098,919,356,527,842,355,116,815,191,013,769,697,793,780,233,237,
782,721,232,833,906,147,042,902,484,087,215,202,863,927,737,495,195,992,115,
918,116,609,030,904,909,351,696,293,958,720,015,086,846,957,896,622,889,575,
866,214,079,581,663,716,049,424,939,296,008,048,836,364,957,556,625,933,720,
734,296,913,037,276,669,969,536,696,777,400,871,767,546,890,747,762,223,594,
086,952,585,430,286,647,400,063,792,850,098,509,130,776,459,213,857,475,166,
276,353,241,594,631,273,835,860,513,106,516,593,699,098,370,258,188,486,833,
347,317,987,186,429,851,180,269,889,483,516,759,010,545,233,119,158,931,860,
586,813,360,595,822,457,162,265,181,779,714,582,366,021,469,751,422,666,237,
295,599,786,669,686,508,983,143,541,845,738,109,404,201,150,511,211,001,224,
068,802,735,718,845,842,875,495,985,330,591,045,086,474,853,578,831,051,600,
144,997,292,914,948,899,058,359,934,596,104,726,185,477,337,542,390,076,081,
668,214,043,376,837,567,508,343,010,744,318,353,986,371,826,792,437,323,682,
741,549,087,707,211,062,582,865,642,939,122,041,556,675,649,045,605,510,335,
030,341,279,233,076,355,395,176,800,372,111,229,059,204,984,641,108,289,663,
719,826,598,180,580,244,716,819,305,555,115,093,230,923,640,225,481,024,790,
768,266,294,351,439,317,057,144,409,071,382,615,571,991,146,651,336,159,548,
245,169,406,560,156,895,116,206,110,950,412,279,197,114,052,004,128,107,576,
853,559,119,500,767,824,457,820,115,270,205,549,489,233,453,520,943,520,007,
109,715,044,469,568,144,169,652,732,616,598,012,754,376,284,137,631,687,048,
546,635,745,740,078,605,248,457,466,255,912,948,434,607,403,512,552,818,309,
761,319,403,538,956,076,586,221,407,404,685,548,125,383,234,969,964,977,627,
149,230,010,756,559,331,360,692,282,548,699,319,407,964,879,225,839,421,259,
510,778,935,173,413,073,546,189,628,386,372,151,778,306,401,551,468,879,972,
683,070,084,086,335,593,124,816,338,899,925,929,203,187,157,813,073,706,265,
479,137,618,304,091,491,719,069,250,698,680,949,952,529,538,683,771,402,798,
715,881,569,112,565,325,187,334,226,643,034,814,242,050,318,352,295,030,855,
357,463,031,985,940,568,115,048,846,367,352,906,635,299,340,182,419,869,722,
466,819,925,856,414,457,961,267,225,866,800,389,385,703,315,598,829,651,075,
510,962,233,490,558,121,756,845,911,362,685,180,395,138,678,981,309,158,866,
247,480,394,089,758,837,269,950,068,015,886,098,477,296,559,144,714,816,798,
964,647,126,790,307,189,716,716,828,190,196,434,871,480,078,962,618,881,967,
684,875,022,384,904,176,956,189,023,114,572,265,211,934,527,856,178,174,112,
440,173,283,879,681,565,191,940,381,523,821,103,193,551,931,152,380,539,523,
709,323,856,148,769,131,058,116,218,957,894,554,853,756,416,101,076,230,717,
201,108,674,938,648,335,163,242,953,614,667,610,489,018,447,268,306,806,397,
255,480,880,767,907,516,460,047,987,331,258,929,665,021,792,205,308,931,515,
704,250,657,988,108,257,433,065,723,507,434,218,605,263,952,006,968,864,094,
778,634,174,011,058,632,223,556,148,367,031,324,510,537,271,429,451,827,063,
214,047,369,255,919,852,478,847,424,784,238,476,664,154,965,523,338,292,714,
277,958,057,540,917,442,755,331,216,276,472,198,502,084,984,795,531,447,804,
772,700,795,040,444,306,977,004,563,667,422,069,195,691,540,265,430,843,129,
880,748,031,358,371,286,419,646,628,627,864,750,197,647,580,238,281,435,926,
170,687,981,171,042,971,884,947,182,260,745,465,323,542,312,741,473,878,672,
796,450,922,789,175,590,310,061,758,466,314,870,447,003,874,417,306,719,203,
898,466,883,666,850,101,397,826,496,493,758,203,160,808,979,635,953,516,611,
841,560,626,153,961,331,905,320,428,173,964,778,016,325,551,597,339,553,890,
425,420,956,838,194,340,000,612,550,605,497,501,792,431,621,787,987,647,493,
611,052,271,024,882,208,245,883,269,611,751,211,998,943,079,794,822,903,203,
978,695,001,015,603,083,668,488,755,062,181,613,665,602,673,810,799,491,126,
342,630,824,362,907,881,328,531,417,193,307,386,118,110,052,662,179,355,741,
825,791,473,238,545,611,311,882,743,860,590,175,969,360,807,516,057,573,374,
825,909,417,410,082,141,681,935,793,852,978,732,864,439,652,026,021,834,050,
390,768,878,870,514,990,783,998,651,415,875,720,665,333,414,613,872,367,773,
572,340,135,184,268,861,326,297,613,110,697,398,770,359,083,891,739,944,563,
140,868,593,420,209,781,998,688,750,845,119,223,393,532,550,705,038,498,578,
163,826,760,199,907,698,997,510,085,107,950,817,840,762,479,560,684,608,946,
445,633,690,642,508,775,712,072,726,178,137,924,767,168,267,252,887,280,655,
507,604,580,926,718,205,228,825,354,976,512,793,477,530,839,842,980,298,472,
957,564,174,106,178,424,962,662,595,876,109,972,535,302,499,175,924,906,063,
374,167,639,492,739,983,152,393,873,845,892,077,453,712,267,953,393,199,099,
924,331,527,567,682,853,850,017,298,776,140,255,134,699,879,414,828,554,887,
277,774,016,179,938,661,048,442,680,433,982,008,803,653,514,245,056,102,025,
085,090,825,972,429,615,017,830,798,016,044,241,761,579,533,824,771,799,438,
536,847,079,083,241,131,244,602,100,146,548,575,576,784,989,608,758,864,030,
101,593,410,290,631,756,333,520,120,762,265,336,742,287,900,654,935,000,550,
869,708,095,751,216,498,744,550,507,511,845,037,535,114,118,669,275,450,668,
501,952,329,548,794,624,202,009,503,581,781,389,821,767,876,395,350,829,280,
434,589,747,732,060,478,765,774,400,509,895,229,122,823,368,284,890,669,300,
898,498,505,703,739,975,787,444,625,704,871,475,331,812,410,290,176,196,498,
233,463,415,193,565,222,876,797,634,806,123,624,378,837,435,779,891,269,556,
719,309,093,668,396,067,196,040,015,952,239,992,457,146,685,226,467,356,431,
275,218,669,252,685,630,190,302,776,100,093,543,643,346,183,020,380,088,294,
764,940,701,277,594,695,681,887,696,132,318,732,660,207,878,448,168,587,250,
480,120,943,463,609,140,569,714,402,268,781,203,150,677,737,468,909,480,240,
614,027,246,711,555,978,558,194,693,950,045,257,228,346,213,765,793,247,114,
376,560,568,752,246,809,146,941,676,141,867,868,252,589,624,753,775,061,291,
761,936,406,895,144,045,437,634,179,906,209,189,015,167,109,905,064,185,980,
451,793,125,289,306,200,693,145,591,893,851,532,881,433,165,152,701,943,635,
814,118,554,865,558,762,138,135,810,444,807,997,191,272,871,433,711,606,650,
522,430,519,893,351,153,822,052,657,120,931,969,750,363,319,739,114,240,901,
250,247,366,678,815,586,265,969,502,662,880,282,225,924,143,054,921,169,237,
659,218,122,251,513,362,680,262,766,497,589,734,841,634,255,757,251,952,378,
212,268,311,165,826,933,129,095,456,970,234,548,380,138,312,164,148,846,572,
869,785,464,658,155,603,149,334,231,091,464,436,477,777,563,434,611,940,632,
884,791,074,713,798,472,087,411,257,897,668,533,329,222,683,469,980,247,483,
510,628,084,575,037,221,920,626,061,410,260,570,003,285,038,702,901,593,862,
058,188,402,338,739,838,977,787,402,803,822,960,192,088,483,174,427,709,621,
961,192,470,594,852,493,835,625,101,075,451,147,098,685,064,017,758,331,728,
731,623,391,686,401,317,288,607,417,080,141,163,554,455,822,914,075,248,281,
938,252,420,819,160,576,543,301,779,968,497,374,193,956,936,060,051,474,965,
751,165,483,854,619,835,070,342,825,700,758,214,202,476,987,244,548,666,474,
221,431,093,167,754,956,634,233,629,831,579,366,654,404,262,861,896,725,101,
646,801,418,505,972,885,437,349,847,343,373,942,502,004,400,094,062,140,835,
408,926,675,380,064,823,095,002,076,887,292,747,346,325,044,249,017,850,541,
544,597,889,633,115,982,936,554,590,943,503,425,383,096,013,714,632,662,662,
500,727,048,017,688,504,643,134,555,847,876,629,769,801,857,206,215,915,745,
904,029,928,806,249,887,377,094,198,923,021,807,919,719,447,071,504,981,925,
443,550,776,614,935,115,574,887,261,516,936,850,632,165,033,367,053,566,991,
340,385,298,688,153,590,854,662,067,188,741,057,971,833,976,313,224,001,892,
634,156,150,697,465,614,220,132,443,261,541,081,619,678,918,973,372,439,871,
122,686,407,046,544,187,306,521,501,056,853,403,341,250,242,860,845,528,060,
790,967,989,881,395,867,584,772,333,704,139,996,743,980,089,035,146,742,880,
069,220,043,657,683,720,604,280,017,652,113,526,801,878,702,626,918,186,073,
685,202,152,773,637,655,662,825,590,643,009,591,794,125,569,532,179,567,973,
384,596,742,053,284,962,976,046,915,535,272,964,230,212,483,629,691,014,468,
641,137,822,737,591,379,080,831,789,466,271,274,486,265,255,786,597,890,422,
772,790,002,307,273,885,577,233,715,873,464,163,077,183,250,040,944,560,085,
591,379,327,204,423,562,689,162,376,623,413,063,967,549,189,340,407,817,289,
069,031,663,541,174,414,373,988,179,774,810,995,490,387,435,012,854,429,826,
876,927,482,447,014,353,358,423,070,036,431,683,279,485,837,560,763,313,478,
990,484,226,518,456,648,723,904,674,873,058,866,717,651,638,249,857,182,654,
453,674,570,771,745,644,155,039,163,715,045,106,119,255,080,881,600,797,006,
018,938,270,909,256,668,925,179,110,276,780,652,146,128,273,527,202,269,523,
120,475,602,648,624,451,698,822,735,506,399,427,050,676,718,629,570,323,066,
040,880,403,210,380,849,282,997,578,590,024,428,231,695,191,265,045,285,420,
707,363,929,909,124,511,215,009,422,430,658,105,359,434,879,261,300,595,285,
153,401,636,162,241,818,682,255,134,819,777,372,156,836,204,324,054,739,515,
182,352,262,889,266,468,412,801,473,221,715,397,402,872,127,337,552,569,496,
775,613,789,490,581,160,675,115,575,743,177,337,545,240,020,459,518,399,084,
818,479,497,928,636,864,339,010,416,718,735,899,965,126,100,310,352,790,904,
338,264,596,601,095,485,510,885,064,283,886,401,135,028,808,893,014,574,354,
954,843,947,733,357,257,689,908,763,475,787,496,901,575,867,595,987,293,738,
320,875,030,803,432,914,356,468,668,945,782,722,205,498,996,564,196,332,577,
962,366,198,605,804,130,104,587,743,188,527,157,216,140,448,344,752,628,502,
498,691,730,991,134,610,380,640,736,690,406,290,910,140,316,660,202,740,036,
174,158,866,088,586,796,113,886,093,635,832,610,080,039,034,357,756,837,263,
298,695,727,192,624,890,051,744,982,904,832,919,755,312,955,294,812,813,911,
042,669,321,710,251,264,316,052,051,458,475,312,740,057,165,674,420,379,882,
438,061,131,091,484,534,370,334,808,321,134,543,828,011,387,187,736,273,426,
577,434,251,709,127,569,004,137,843,233,844,520,966,827,210,255,661,304,239,
478,735,152,076,282,083,839,643,808,906,693,401,804,950,637,331,412,564,476,
504,341,987,441,109,708,362,451,608,233,519,362,893,438,201,355,915,237,293,
823,155,606,579,086,982,953,548,983,055,200,125,474,877,657,805,102,981,546,
173,230,787,125,314,798,144,125,270,144,044,244,724,029,601,436,978,802,813,
055,135,963,575,494,851,576,015,039,652,033,584,783,945,479,344,471,832,520,
510,325,319,545,148,634,214,733,906,151,099,568,150,005,515,902,643,533,718,
034,631,900,714,601,055,548,177,338,462,706,054,585,267,953,721,816,212,712,
437,078,569,288,835,456,007,123,566,237,433,896,145,927,770,963,431,162,399,
036,070,223,233,407,834,817,508,500,026,495,093,940,771,360,104,545,419,561,
430,945,369,453,838,141,788,196,280,244,542,660,797,129,365,959,552,778,079,
303,156,253,222,230,569,422,728,877,016,525,065,124,481,370,241,236,160,628,
085,899,732,922,479,743,356,384,088,473,214,672,635,073,509,294,100,589,062,
263,806,478,053,869,917,849,709,174,283,343,219,714,478,580,468,753,845,352,
435,704,203,229,892,070,491,834,273,927,658,067,316,212,497,221,705,363,890,
709,203,165,432,574,119,245,291,732,459,117,587,151,720,845,500,875,310,312,
919,794,460,506,020,047,257,228,293,384,375,166,715,218,103,477,376,931,717,
454,883,592,340,579,076,465,069,962,703,396,209,716,995,256,218,588,341,676,
785,734,062,742,178,484,827,221,349,303,129,186,618,803,161,791,237,147,395,
346,318,731,105,360,281,856,336,702,060,299,639,398,613,142,771,642,669,177,
926,973,962,137,642,016,516,253,216,589,327,300,055,237,826,805,434,439,173,
798,407,358,054,659,491,373,823,668,616,373,564,424,120,599,093,242,876,356,
003,033,722,839,471,458,399,559,989,342,563,921,058,380,718,986,882,883,815,
416,955,924,091,509,861,091,917,803,326,513,363,182,836,407,950,992,840,682,
053,856,222,507,028,993,134,985,338,025,548,359,330,887,573,894,249,323,040,
722,273,318,665,430,224,787,618,315,585,034,076,171,504,433,508,243,109,752,
960,288,264,660,111,931,598,027,390,058,954,800,038,509,452,030,571,111,823,
432,616,907,915,400,698,608,262,739,144,233,844,968,745,988,172,488,953,760,
348,312,935,847,744,253,605,464,797,166,788,188,151,621,655,010,254,283,513,
105,173,271,863,543,159,546,724,790,599,083,440,286,360,871,990,256,477,791,
048,828,279,657,165,439,652,225,391,493,981,471,056,704,787,573,626,478,875,
304,717,462,993,264,610,032,721,951,671,272,849,703,370,019,507,515,801,248,
892,470,468,731,571,509,358,955,879,118,919,769,741,523,281,985,630,491,205,
412,795,116,059,292,662,155,816,452,779,738,181,640,491,328,517,927,466,624,
497,149,525,850,207,760,378,611,161,752,603,034,553,761,241,996,847,758,649,
943,612,151,287,479,563,523,295,043,406,189,342,075,507,290,555,763,576,999,
750,965,012,485,173,691,042,007,126,680,818,781,223,426,321,227,286,447,917,
637,558,866,193,374,422,959,140,255,488,415,003,048,059,501,595,757,245,056,
902,453,338,859,677,152,152,995,232,131,102,950,148,767,516,429,203,907,486,
976,286,236,014,207,283,447,943,966,075,383,911,724,359,632,938,758,913,216,
548,786,869,895,860,081,389,859,301,395,338,423,817,405,622,501,213,052,535,
741,761,540,866,163,255,515,458,818,997,120,912,785,600,107,837,931,942,950,
144,913,906,814,534,152,632,975,410,408,942,080,650,039,222,253,621,123,899,
507,014,069,838,921,208,547,736,269,229,069,681,302,426,931,929,064,224,636,
871,048,177,361,164,003,830,954,744,467,641,040,079,370,386,136,851,119,771,
168,921,347,232,986,355,937,499,236,019,883,788,733,239,683,000,636,557,746,
766,454,725,815,918,234,031,608,220,580,943,204,128,973,424,703,893,428,995,
678,930,330,330,604,538,922,744,431,495,631,378,015,786,359,557,612,871,165,
089,945,475,860,232,715,908,413,157,974,579,382,045,223,428,040,258,479,751,
848,854,994,278,541,409,109,700,281,685,116,642,331,702,379,411,692,041,902,
746,704,330,202,153,826,896,340,868,616,177,295,122,282,292,699,637,779,144,
152,938,186,729,838,935,595,706,604,152,855,524,140,686,273,479,381,062,197,
500,167,565,870,033,541,357,926,905,451,413,537,096,116,712,578,065,493,632,
985,331,604,085,760,229,683,712,620,913,492,412,773,315,926,597,616,411,197,
546,567,112,136,717,243,150,144,217,508,996,713,735,152,899,589,694,623,425,
257,017,350,661,205,893,875,186,489,129,291,311,062,154,676,413,758,050,491,
178,289,718,749,239,412,909,957,159,647,483,363,209,748,212,498,497,530,114,
073,008,252,543,950,944,559,703,900,913,393,171,256,616,779,332,905,203,544,
435,583,187,031,398,987,676,487,482,069,487,176,882,909,207,774,866,950,417,
643,158,597,772,674,489,404,234,283,366,498,856,215,533,960,667,551,511,011,
265,774,855,990,857,350,033,979,067,174,197,090,572,198,952,563,119,693,604,
006,667,882,635,185,211,750,596,762,965,012,965,590,333,301,538,722,534,919,
653,483,476,633,947,154,579,247,260,346,834,713,259,618,241,668,792,189,745,
978,829,709,133,789,974,085,222,382,018,208,020,072,738,331,731,733,263,759,
341,565,361,691,929,042,546,642,222,194,800,984,472,269,301,798,532,405,116,
179,321,071,530,316,757,366,305,699,083,021,915,877,430,160,808,038,260,297,
059,063,654,679,309,166,088,913,840,539,912,430,130,910,338,311,353,289,089,
042,091,923,983,506,157,314,630,595,344,150,717,691,919,600,116,299,452,059,
292,961,654,686,685,449,483,448,462,711,629,586,986,495,017,759,586,010,290,
626,640,813,169,483,953,464,278,084,729,257,306,508,309,988,999,757,702,663,
782,855,689,335,043,667,857,369,163,497,517,887,482,285,991,656,175,185,701,
527,284,265,037,576,543,636,092,059,159,137,281,774,481,584,449,967,161,076,
856,343,221,544,079,155,967,693,535,356,914,022,609,719,465,665,001,034,224,
802,683,412,768,184,311,581,386,232,454,930,922,867,063,742,307,461,549,108,
923,598,653,630,073,604,670,747,946,397,796,273,138,823,869,826,829,122,107,
969,421,040,315,000,004,882,294,469,506,239,385,560,112,826,378,621,951,727,
315,690,154,248,478,262,648,706,571,971,161,285,571,059,139,847,324,522,565,
824,373,504,552,637,858,033,801,467,858,149,815,455,893,183,258,812,238,963,
280,219,725,524,150,147,806,917,362,510,520,275,092,918,355,787,193,246,451,
654,112,083,318,639,812,184,667,672,489,416,980,404,296,372,357,628,275,113,
671,726,103,110,874,252,557,220,502,412,551,915,281,433,309,912,831,088,303,
850,291,555,000,242,928,496,582,274,304,397,301,444,744,493,270,085,106,134,
016,999,386,829,297,176,610,978,191,285,388,289,210,074,251,194,024,084,102,
355,600,757,137,738,135,932,567,266,689,987,377,898,133,985,528,746,977,844,
827,654,498,244,890,137,801,758,996,921,110,549,420,213,703,521,051,962,750,
009,405,623,875,356,039,637,923,620,955,700,214,711,762,919,961,583,340,363,
839,796,840,068,932,189,202,114,345,498,940,897,224,662,241,066,451,896,706,
326,747,854,787,712,844,504,793,181,457,004,656,053,613,370,374,453,793,248,
989,754,119,551,825,839,416,949,539,580,297,166,943,347,768,366,865,339,180,
688,655,854,664,359,424,898,211,196,875,014,232,462,674,879,227,844,701,827,
457,086,091,558,944,667,587,938,943,671,703,139,903,417,658,668,662,326,587,
933,994,853,414,785,158,717,478,479,302,324,666,342,670,483,670,385,832,257,
886,433,470,014,686,190,741,781,758,567,195,917,830,542,547,925,286,782,315,
298,309,416,355,625,889,418,473,853,310,494,079,701,479,334,260,912,450,321,
126,463,494,569,255,389,039,896,622,408,834,447,457,533,257,876,362,311,094,
189,204,838,824,325,983,815,379,305,541,044,424,808,227,893,374,639,279,541,
518,899,065,470,997,747,872,549,387,887,955,133,210,082,369,578,104,117,178,
572,857,137,651,965,429,077,807,334,420,069,064,304,109,241,636,996,628,348,
901,491,209,171,651,267,899,018,496,362,504,322,997,483,601,230,804,959,654,
539,490,595,134,085,973,890,118,059,235,340,008,809,398,711,215,493,813,656,
637,998,698,946,701,141,853,278,449,461,939,707,884,260,168,697,496,622,628,
179,052,990,303,770,653,966,021,480,401,208,690,872,972,508,814,024,506,183,
998,573,294,979,339,633,817,311,693,231,748,541,508,367,147,077,718,595,998,
338,000,470,399,655,906,674,520,058,033,287,447,902,443,652,891,956,669,807,
710,900,315,996,106,749,824,490,216,082,343,096,640,685,538,950,393,915,987,
538,255,289,627,544,389,825,599,659,761,086,446,305,964,362,037,361,340,969,
618,652,239,265,523,875,262,328,899,616,342,971,032,107,876,417,666,084,226,
736,273,551,804,087,528,251,926,468,855,321,513,150,259,387,247,262,715,374,
943,493,851,060,455,640,995,643,324,201,792,274,034,149,002,950,871,004,385,
842,648,807,686,005,343,311,272,615,016,328,875,372,864,265,964,055,560,487,
134,182,958,940,424,916,217,377,011,802,130,939,448,329,789,528,124,657,728,
625,257,859,162,839,701,839,834,754,029,613,377,164,686,494,010,806,884,332,
955,256,779,710,620,876,796,640,342,283,277,965,043,393,194,152,045,060,960,
835,956,417,588,097,169,234,593,470,373,545,615,112,446,489,673,470,590,138,
888,866,347,575,266,302,550,835,827,277,685,974,129,066,118,402,806,058,053,
286,273,458,517,130,945,181,180,969,607,552,967,261,269,834,564,076,360,845,
605,772,278,722,449,059,303,423,631,527,296,885,357,262,831,322,560,111,974,
934,529,202,694,797,043,241,113,959,142,174,011,719,539,739,810,408,144,061,
879,753,239,687,270,850,625,066,963,181,708,605,556,733,988,899,271,488,705,
556,858,754,044,745,065,942,785,287,361,536,472,697,640,455,626,065,884,179,
154,895,377,507,665,420,291,533,439,591,452,427,659,380,457,373,717,633,607,
249,472,921,018,531,893,726,786,487,093,935,932,541,660,931,984,059,372,944,
660,541,124,987,675,166,749,009,809,463,206,008,674,362,298,445,809,264,680,
290,232,361,016,457,518,543,998,586,763,068,330,383,545,817,965,286,909,850,
357,243,649,872,329,920,220,773,754,398,802,385,693,666,549,349,551,716,965,
352,617,671,430,594,577,311,969,498,952,138,898,278,260,928,365,863,666,866,
413,492,676,219,366,768,918,945,510,500,228,035,379,919,526,488,822,232,054,
462,098,008,178,917,650,615,336,283,904,835,216,191,654,335,507,257,908,745,
622,491,300,907,596,941,026,967,719,747,614,593,655,912,011,514,778,739,077,
537,655,375,416,477,032,830,533,942,442,116,365,938,020,172,068,540,637,623,
074,691,221,577,645,996,771,381,575,370,083,990,537,662,626,539,388,827,304,
041,097,910,260,976,780,051,220,574,801,997,717,418,422,742,099,945,190,094,
883,594,607,233,062,999,531,886,844,311,476,296,257,077,118,572,361,643,112,
288,986,743,435,096,167,800,743,636,668,673,169,645,330,802,945,750,296,779,
169,507,090,754,351,974,121,559,727,810,242,110,277,480,603,437,088,506,699,
573,607,754,471,008,317,660,732,975,651,943,113,326,504,962,115,891,268,792,
202,762,309,592,388,644,030,596,261,547,178,587,171,438,002,280,739,101,731,
235,214,120,603,599,191,743,844,895,341,076,448,219,276,191,822,157,963,978,
155,916,835,235,791,970,003,412,106,897,468,210,706,554,778,458,309,825,324,
317,807,645,596,629,338,178,952,069,936,704,167,964,391,852,190,310,480,934,
085,663,646,523,658,421,742,297,253,500,631,238,987,785,885,065,049,155,809,
236,153,134,900,109,410,187,419,254,838,823,326,434,141,333,878,730,490,466,
687,741,957,234,706,828,548,000,300,889,126,753,348,504,655,765,827,656,997,
929,316,216,822,992,221,197,070,455,500,555,232,343,776,528,322,789,267,121,
088,275,381,897,035,072,270,634,062,205,585,254,317,475,649,124,757,625,087,
976,543,838,249,305,306,170,076,311,431,179,509,702,964,730,878,968,211,812,
085,055,971,964,172,473,055,544,573,977,384,135,928,092,847,568,673,532,865,
622,666,102,130,835,176,988,055,200,805,006,798,392,107,666,862,981,993,380,
377,097,696,204,916,617,710,158,832,820,581,272,687,621,380,539,161,748,098,
098,573,586,228,185,008,566,056,818,454,727,555,168,631,564,352,470,206,940,
234,408,133,628,191,109,217,078,382,074,165,204,783,873,266,261,308,100,634,
377,166,350,271,212,254,134,969,342,816,014,092,956,791,383,409,992,379,239,
099,893,764,296,882,739,262,038,870,307,498,998,452,024,450,813,541,636,687,
563,387,902,560,895,924,540,208,299,879,232,138,819,629,207,910,071,784,032,
160,252,402,743,955,249,008,949,025,547,359,237,321,289,542,089,137,643,745,
237,448,837,070,565,481,958,620,966,155,837,448,409,372,535,411,430,700,805,
980,265,395,933,206,126,740,906,150,242,829,750,487,542,220,180,329,879,842,
090,488,919,254,059,039,432,960,626,262,524,174,023,982,624,567,285,040,124,
083,271,759,545,685,267,315,342,710,729,422,331,733,429,174,247,892,887,017,
650,779,062,853,951,843,522,879,847,620,891,111,037,887,917,510,501,695,900,
616,052,636,515,653,712,592,907,764,981,765,945,954,337,440,958,108,055,532,
145,414,592,660,317,977,376,545,229,179,145,191,700,272,866,966,595,265,222,
489,625,899,096,504,337,944,070,081,894,991,589,033,120,198,007,587,893,954,
218,323,911,426,579,415,457,958,081,979,828,655,349,938,909,257,977,223,786,
912,342,337,530,611,333,643,413,850,686,125,511,464,974,308,886,502,737,530,
037,605,466,995,361,386,726,428,583,450,175,617,226,593,535,836,135,210,070,
159,713,090,269,563,995,236,990,033,652,661,543,298,949,482,929,398,870,937,
865,774,534,658,158,171,261,648,311,744,326,969,802,729,284,585,549,047,934,
298,443,959,152,178,736,615,469,291,884,132,652,112,989,677,334,427,521,661,
781,360,949,017,868,175,892,972,616,826,278,781,227,108,909,273,366,124,813,
018,511,538,011,216,982,231,520,913,234,850,810,091,561,164,601,760,206,531,
387,010,328,893,136,288,699,677,225,988,725,699,131,469,890,166,357,864,849,
276,485,651,278,344,116,143,948,511,760,411,161,982,645,064,275,983,044,478,
405,999,327,561,971,688,914,756,360,037,117,369,904,420,108,015,290,933,528,
784,094,261,156,021,355,514,617,817,710,833,297,327,579,866,806,270,865,326,
802,755,880,898,949,265,166,912,624,962,558,740,455,615,069,265,332,200,152,
648,909,079,582,999,877,286,970,391,368,010,798,519,631,922,513,041,745,542,
832,757,510,701,050,111,931,289,619,935,373,004,449,402,919,632,720,119,449,
889,824,692,389,123,152,864,292,768,167,274,147,245,992,193,942,565,543,138,
149,043,893,512,080,221,191,778,836,312,325,078,140,499,703,163,016,669,550,
449,699,300,555,027,693,040,675,258,413,816,385,209,388,927,822,829,093,400,
109,206,484,014,804,097,580,863,655,617,252,971,787,781,970,602,757,982,856,
841,117,108,246,575,170,657,000,671,494,693,805,464,581,197,982,462,020,637,
696,924,529,838,388,359,825,041,298,436,222,903,979,751,849,869,888,960,976,
139,895,551,610,299,379,058,237,756,230,261,617,811,584,432,644,402,158,834,
992,815,341,976,204,697,204,653,323,194,003,748,997,402,418,870,037,095,581,
586,847,025,220,886,420,971,468,205,320,361,648,281,097,379,086,377,386,534,
466,654,308,884,779,949,010,949,165,790,761,329,896,881,705,382,684,930,571,
149,543,971,314,626,629,419,011,659,129,131,918,988,937,306,148,113,373,010,
334,025,074,503,974,028,005,758,534,595,692,088,150,548,863,127,076,037,713,
394,592,120,980,197,330,609,316,166,804,502,773,955,913,279,316,357,874,245,
399,742,008,920,478,297,790,558,612,102,852,523,013,166,207,462,038,444,388,
612,994,216,055,816,550,629,929,321,786,025,128,563,799,815,364,272,409,838,
631,554,246,209,399,037,750,455,917,909,690,715,209,406,693,375,213,813,666,
283,788,856,856,027,188,372,339,785,873,290,052,373,425,893,939,049,528,816,
325,073,926,579,363,394,458,344,390,914,672,757,560,979,847,430,599,753,366,
026,266,519,825,917,719,264,765,829,840,078,942,044,391,905,218,227,912,072,
680,845,927,660,285,490,660,615,206,424,629,362,560,333,853,844,375,547,653,
261,454,455,391,188,135,393,236,523,966,762,803,146,281,102,176,339,527,419,
405,080,354,735,334,432,359,631,607,608,662,449,270,272,855,650,400,446,696,
870,373,214,717,751,529,567,526,247,105,136,541,183,128,700,873,921,782,630,
322,577,245,428,803,376,875,778,576,325,138,813,410,979,144,477,556,877,107,
186,356,771,193,946,148,570,970,758,949,154,388,975,700,920,805,942,602,630,
179,937,536,560,993,119,987,660,576,482,476,973,766,649,557,085,432,712,824,
184,173,536,459,403,186,177,997,089,960,444,439,410,019,621,010,174,809,536,
952,187,557,248,944,389,234,131,518,987,927,550,512,476,132,579,397,728,915,
518,605,293,216,357,994,444,446,597,743,111,893,227,507,369,755,756,544,314,
671,793,183,462,678,493,668,826,399,518,445,148,457,916,232,357,923,397,161,
739,891,848,008,160,206,651,805,069,299,816,666,321,553,290,639,232,729,896,
182,760,649,283,721,929,825,614,662,911,845,842,257,810,948,011,266,067,739,
866,437,850,653,902,670,060,513,829,667,667,660,791,359,810,027,046,323,858,
570,045,655,153,755,167,175,513,640,615,507,591,711,095,385,221,088,696,403,
668,790,556,293,181,118,452,293,680,974,621,188,475,472,454,131,566,899,325,
752,447,437,941,945,723,539,486,187,268,226,889,845,239,981,331,975,537,932,
565,795,666,266,480,865,129,925,097,373,649,467,215,389,508,275,911,625,055,
667,581,815,634,251,803,411,466,332,560,339,784,720,499,307,827,495,815,259,
359,018,026,692,964,926,036,404,876,748,301,013,975,939,672,190,984,746,375,
586,093,761,527,080,141,406,683,415,377,241,923,692,835,729,071,905,866,944,
633,480,022,665,764,876,386,520,993,737,910,559,916,458,097,503,558,528,039,
397,696,180,712,253,286,549,706,782,386,731,615,017,869,295,316,787,680,958,
075,290,583,831,932,316,263,507,537,286,792,679,637,347,831,620,783,317,189,
643,277,141,236,303,575,162,087,049,003,104,760,799,750,366,214,152,623,685,
610,258,241,036,506,019,915,429,435,482,888,956,860,502,114,753,672,898,560,
985,957,767,235,651,236,885,652,677,585,221,474,145,584,567,024,638,911,404,
755,451,153,323,445,792,902,356,678,144,214,283,101,355,042,897,990,649,949,
620,896,532,227,711,914,929,725,278,223,129,404,222,862,716,740,264,066,146,
274,684,741,874,967,481,011,194,229,154,331,563,101,131,649,185,127,670,656,
100,466,337,820,262,170,300,906,869,431,451,543,227,789,621,899,820,600,191,
277,958,271,610,380,716,516,917,769,402,833,429,609,088,602,665,729,325,496,
337,067,373,571,158,237,808,508,280,301,043,012,243,044,533,248,914,197,950,
291,056,624,181,755,914,047,366,538,333,069,578,659,128,442,011,095,145,218,
154,962,032,173,385,130,651,766,907,045,974,233,438,446,203,758,864,386,280,
037,740,909,352,588,417,452,613,535,167,069,739,141,423,406,494,599,425,074,
825,318,358,860,979,139,351,863,356,572,582,949,048,763,477,493,514,793,770,
791,217,094,435,920,839,702,120,033,103,910,156,252,276,110,764,502,166,711,
662,175,369,528,151,957,470,430,581,592,904,660,426,394,510,958,804,631,935,
851,162,373,061,515,105,248,630,225,487,750,153,777,921,775,988,934,883,719,
943,030,822,473,706,979,057,438,542,352,736,822,908,537,251,830,257,241,784,
664,672,318,413,794,137,151,996,562,506,004,145,867,554,709,270,791,933,704,
257,691,501,455,955,156,466,509,955,775,740,096,327,173,719,383,592,067,144,
367,640,890,718,477,387,502,330,415,075,540,869,999,671,601,114,701,297,032,
144,813,895,534,729,518,173,593,386,451,836,897,568,692,159,773,835,165,088,
799,389,231,440,598,730,712,667,265,181,267,733,102,374,709,291,377,418,898,
380,565,942,938,193,147,490,902,264,760,084,356,078,244,103,324,495,257,138,
083,144,447,297,999,225,008,048,177,265,319,812,924,608,031,666,230,724,656,
796,114,178,040,143,624,957,964,788,737,368,549,673,684,677,400,919,694,868,
035,060,718,236,323,380,738,780,637,002,518,089,221,156,940,858,860,866,455,
133,105,882,913,889,169,154,742,457,672,183,725,376,319,205,961,828,745,863,
138,302,754,081,713,002,155,814,351,604,842,710,350,928,756,158,409,327,017,
004,924,319,079,839,694,302,359,512,718,658,745,144,274,824,029,266,809,191,
334,842,284,207,956,062,230,604,564,996,336,552,788,650,488,869,040,217,294,
230,862,104,166,614,240,529,366,800,904,089,861,659,886,362,468,564,829,260,
674,947,163,131,778,700,350,436,192,537,361,592,885,321,984,149,042,045,966,
152,643,212,637,734,656,645,151,548,354,500,062,130,567,024,855,564,626,645,
408,400,537,465,533,041,073,654,183,791,761,371,621,545,572,568,635,759,481,
728,489,314,458,472,488,065,645,528,942,348,685,715,420,187,228,468,051,117,
582,230,281,290,965,798,269,695,642,897,056,546,109,053,362,793,757,223,564,
196,180,413,648,573,310,708,805,926,183,674,858,625,528,119,997,104,459,249,
516,066,802,538,763,594,809,554,467,274,191,896,306,899,338,608,323,593,971,
172,955,055,144,414,524,904,621,408,570,220,436,997,556,353,864,011,287,902,
570,739,287,024,656,415,840,051,267,525,135,362,244,747,150,359,119,096,417,
944,610,684,634,527,527,874,286,346,404,454,973,697,259,344,024,517,480,899,
913,650,456,373,051,425,609,878,099,570,216,490,636,677,016,700,096,666,605,
488,234,907,607,203,498,657,268,131,660,059,369,610,732,130,125,211,395,355,
258,947,968,521,956,975,323,324,460,567,637,941,585,949,925,421,714,996,091,
459,721,589,082,324,686,593,819,625,020,385,180,821,823,283,336,781,350,471,
204,917,286,488,206,177,622,503,306,823,298,609,059,457,700,832,660,852,218,
041,280,427,072,837,891,903,850,377,687,828,665,998,500,876,393,224,606,155,
681,664,925,813,646,873,589,505,958,107,102,218,126,892,974,988,427,396,088,
790,867,892,601,919,842,645,979,718,081,600,176,950,564,466,497,151,384,226,
581,176,690,282,744,811,520,850,713,743,937,720,048,313,825,788,638,456,293,
820,534,769,105,587,730,866,949,588,425,159,956,168,449,408,030,943,094,541,
572,713,414,399,246,078,901,767,046,250,160,847,662,625,613,241,969,396,472,
537,110,807,788,423,828,801,474,914,082,252,108,940,021,481,877,867,484,346,
195,426,129,820,107,000,459,822,054,964,846,353,964,886,292,596,263,877,981,
786,200,364,511,579,684,098,654,051,593,726,384,482,940,324,878,185,859,792,
853,570,502,777,455,112,169,509,671,972,955,112,219,476,702,991,654,395,816,
412,380,007,231,091,258,409,134,801,872,330,655,554,635,914,315,079,808,707,
315,855,028,473,171,690,399,305,985,205,542,199,701,645,277,206,980,042,382,
478,771,174,771,345,647,646,845,132,478,282,784,557,773,601,700,625,929,609,
181,126,841,337,153,983,198,080,473,018,520,042,326,822,688,240,370,828,978,
456,038,473,697,409,690,886,636,759,066,601,729,086,583,276,245,499,995,449,
376,172,584,610,754,213,465,175,225,933,879,479,980,745,962,738,985,608,120,
701,912,759,273,354,574,871,854,404,363,597,441,858,267,669,824,786,696,468,
755,261,922,716,802,198,715,876,267,256,309,555,188,236,527,995,678,068,076,
094,887,186,696,680,481,825,214,789,714,846,569,852,877,846,855,055,361,222,
264,965,237,229,372,821,603,346,470,728,284,359,960,578,031,274,197,278,146,
084,720,574,629,231,610,061,208,252,764,405,238,661,173,454,123,187,124,504,
895,528,228,881,948,764,939,503,729,083,545,141,088,441,040,312,179,112,671,
853,257,321,592,167,702,113,269,936,867,096,483,623,455,082,601,168,913,231,
421,606,385,235,240,105,472,745,368,796,358,670,792,078,609,295,652,827,592,
008,434,666,302,614,786,312,653,426,139,473,295,624,797,698,151,784,930,459,
180,055,554,679,838,949,243,740,712,755,557,225,667,356,601,039,079,751,128,
733,242,340,532,173,428,597,426,677,961,281,353,137,987,949,876,819,263,328,
007,685,923,510,398,609,307,203,829,188,157,678,083,042,924,156,967,994,411,
998,472,273,651,055,511,282,783,904,187,524,437,553,930,474,096,591,493,291,
814,167,552,343,939,392,981,041,158,514,853,088,947,454,481,410,766,955,084,
778,587,624,028,444,405,368,784,937,042,376,330,226,778,552,110,319,441,868,
285,454,166,343,991,827,900,689,971,231,785,086,459,696,184,117,920,513,936,
568,482,410,670,550,747,482,107,350,244,835,322,450,171,779,093,250,419,424,
051,349,275,371,657,626,026,865,597,850,422,961,238,629,381,258,371,829,732,
257,800,049,651,214,937,462,418,261,352,949,070,222,484,778,963,993,506,350,
359,195,834,805,995,835,810,782,987,295,154,240,589,528,132,067,659,361,856,
190,862,145,662,213,526,504,732,852,004,295,742,635,841,295,490,612,761,634,
008,378,901,816,557,012,018,397,401,482,028,370,504,552,209,586,305,829,850,
920,875,025,534,484,013,463,227,962,932,422,470,089,346,831,870,260,356,110,
845,413,159,635,677,351,599,268,089,675,370,357,419,718,141,101,868,416,200,
419,853,863,217,780,768,591,073,922,370,973,437,512,817,426,907,611,861,991,
061,818,381,016,333,828,231,465,742,533,180,690,080,579,994,238,991,051,898,
427,047,619,922,151,533,799,586,908,556,593,245,915,211,783,761,650,752,080,
887,670,346,673,003,428,774,460,254,643,752,005,571,083,483,499,982,593,661,
722,228,794,898,960,823,516,890,599,368,965,275,015,668,070,914,377,551,252,
139,691,369,016,440,613,030,452,599,629,100,692,429,945,076,391,025,308,489,
803,692,422,233,477,971,508,629,965,238,809,373,796,023,792,677,354,232,592,
303,207,290,983,132,048,257,718,191,467,678,802,020,696,012,438,292,756,343,
829,135,193,128,537,485,977,584,974,114,442,242,331,651,467,163,128,674,874,
169,079,565,539,362,677,077,437,925,870,677,341,887,562,542,957,160,537,296,
240,828,215,560,561,794,890,050,049,602,038,260,433,374,326,279,717,034,685,
338,119,175,900,520,029,535,146,531,101,624,700,239,965,499,165,699,936,928,
307,388,896,320,128,678,410,785,736,451,936,341,062,072,735,035,664,209,183,
655,415,600,107,873,295,466,732,546,740,184,711,611,950,128,090,294,209,110,
802,439,468,642,070,678,755,988,326,985,147,420,075,793,876,097,127,993,703,
418,939,438,193,694,240,252,498,459,311,891,630,937,944,983,985,512,937,758,
665,385,356,654,165,697,068,644,742,789,122,804,254,894,468,362,186,865,231,
063,191,991,810,626,233,086,064,015,351,355,405,043,124,728,838,810,845,400,
059,319,587,280,530,506,026,982,047,144,566,503,768,747,798,447,116,829,373,
327,613,528,170,058,315,866,481,836,695,721,168,456,293,319,156,785,919,718,
842,134,825,499,401,860,099,998,651,060,352,989,744,351,356,421,127,699,599,
930,419,663,797,309,844,547,271,586,232,267,389,142,950,728,197,672,293,249,
959,676,675,871,575,428,135,816,951,615,721,112,631,767,329,381,870,457,867,
188,446,933,492,873,992,891,631,580,360,443,473,602,312,932,692,705,331,740,
856,748,842,460,177,055,048,894,158,757,179,854,458,445,395,483,446,630,912,
946,588,889,928,475,063,182,867,787,263,536,866,560,565,772,488,497,783,743,
213,736,478,998,921,491,473,037,838,546,582,448,331,051,160,143,452,505,902,
814,484,970,333,527,267,179,084,710,332,189,104,798,609,877,726,209,986,986,
851,469,377,070,448,701,540,002,753,384,884,338,988,221,121,704,684,289,694,
907,623,511,581,501,606,240,866,946,805,270,423,923,107,900,121,440,304,360,
066,244,784,300,154,227,156,976,062,689,542,922,545,160,579,057,868,246,963,
235,266,855,824,768,432,200,845,905,978,349,312,740,296,373,210,199,332,373,
744,159,801,090,020,403,955,520,103,216,367,020,743,154,705,839,168,392,107,
189,165,320,650,494,112,529,489,590,978,365,925,169,938,210,213,264,993,064,
292,104,519,796,973,387,127,566,743,029,270,905,890,297,794,026,883,934,187,
305,524,851,889,579,778,830,835,039,047,406,181,109,368,454,757,988,406,211,
476,347,671,606,927,067,133,078,265,440,600,924,125,132,971,946,199,140,525,
742,718,389,715,005,676,642,939,753,125,451,931,850,163,645,057,737,504,225,
819,039,684,295,573,577,375,655,290,434,229,652,120,029,936,076,919,298,518,
595,841,646,517,589,952,941,821,574,749,934,996,639,854,864,973,070,475,756,
298,841,786,386,925,977,802,744,658,265,950,653,557,997,399,406,276,791,229,
359,609,381,880,250,797,724,165,150,379,745,943,780,722,738,992,746,526,416,
350,503,905,093,251,233,096,942,521,715,540,348,078,116,695,357,539,558,046,
159,557,983,883,239,085,537,570,198,404,533,146,880,373,487,064,887,822,557,
031,219,843,784,744,175,800,011,406,957,157,077,295,988,538,416,491,889,122,
553,406,157,875,907,413,851,153,329,128,782,205,698,759,942,115,362,882,376,
347,962,338,145,612,688,446,977,105,375,375,691,714,829,109,741,928,414,721,
723,895,592,381,848,490,794,696,966,479,844,854,180,140,055,276,928,636,458,
474,417,212,992,001,670,652,895,177,134,231,347,479,240,330,148,048,494,178,
153,530,056,235,695,931,390,057,792,099,697,752,433,535,686,406,158,925,094,
803,108,608,831,656,496,502,120,420,222,680,606,210,136,384,853,365,333,048,
519,132,724,981,986,910,336,650,067,374,669,811,158,847,826,886,258,587,544,
188,620,225,609,493,679,497,952,998,177,525,295,442,341,361,501,242,597,035,
833,804,247,937,588,689,069,109,909,257,030,482,102,837,708,964,989,824,388,
041,520,811,680,546,189,336,631,252,586,399,216,602,511,851,112,283,437,213,
594,462,464,754,381,805,603,503,744,416,725,401,491,967,012,201,753,704,823,
666,654,466,239,813,599,691,804,870,389,497,142,375,377,348,838,089,295,174,
202,348,246,325,939,868,632,466,423,079,765,932,684,925,346,957,014,827,431,
302,050,866,409,047,824,548,912,915,388,112,527,020,883,231,222,494,052,850,
219,537,816,537,280,533,645,883,180,806,481,780,141,686,284,956,231,284,564,
146,704,704,419,868,047,858,787,679,138,225,210,024,971,392,847,838,670,761,
643,698,096,405,821,903,454,157,687,309,432,769,673,883,524,764,613,762,520,
328,737,465,856,007,315,808,998,301,907,594,196,358,761,055,510,741,085,295,
965,608,219,144,303,408,758,788,597,191,678,867,841,476,004,527,970,943,689,
706,639,023,317,013,910,433,762,521,820,165,152,792,671,478,685,635,791,837,
121,809,918,266,337,509,125,546,362,393,527,548,265,459,902,609,332,836,503,
216,175,668,466,159,026,683,003,764,859,212,582,713,687,757,157,144,625,233,
747,676,450,021,056,598,689,746,818,928,274,970,047,761,885,992,323,162,975,
246,581,795,008,064,086,656,664,353,140,624,809,792,935,757,020,144,863,631,
141,314,725,812,892,054,088,342,893,051,365,823,289,663,167,207,621,848,418,
579,252,593,206,540,927,254,986,932,781,114,702,043,676,704,849,637,692,060,
320,891,564,481,205,470,058,972,276,173,763,424,102,550,300,043,104,491,140,
206,108,722,894,463,388,250,468,897,310,818,086,165,962,117,808,556,360,435,
917,378,597,825,987,454,493,316,008,266,564,064,652,318,963,185,616,942,991,
738,666,339,860,147,478,020,807,694,269,956,430,017,711,397,795,642,761,096,
582,679,771,155,204,747,546,704,970,787,658,944,663,188,870,950,786,925,736,
872,597,678,696,130,635,076,273,059,867,064,173,274,502,728,708,291,082,738,
609,059,043,761,819,489,490,651,607,412,110,921,440,923,251,044,259,243,688,
807,386,876,133,214,509,678,718,268,874,646,456,137,526,990,318,610,462,553,
123,080,483,600,968,556,736,877,900,297,089,432,702,867,499,441,811,423,868,
242,635,619,013,974,729,602,586,446,764,613,391,767,636,843,471,226,477,438,
894,401,281,047,779,459,623,075,705,499,883,708,187,324,708,586,324,665,730,
630,227,729,061,631,151,047,004,869,484,246,014,951,860,214,043,545,748,293,
683,142,121,282,454,776,520,669,471,180,892,099,566,451,500,436,629,115,787,
874,587,559,107,216,183,833,627,206,683,750,710,716,365,148,587,039,630,306,
492,496,674,127,606,065,900,824,001,484,715,927,528,798,043,862,304,834,697,
420,160,565,616,190,070,381,069,835,834,522,905,957,147,874,087,716,774,952,
572,081,521,581,077,842,714,031,210,130,633,095,904,237,605,955,043,078,224,
558,107,111,089,371,290,422,574,378,326,423,575,770,582,671,999,288,094,312,
363,722,607,868,529,843,800,050,266,645,938,667,001,160,026,274,000,684,569,
774,064,198,446,684,629,099,321,838,151,166,039,209,928,842,719,775,396,441,
204,910,082,683,748,041,015,883,968,108,493,517,408,139,540,724,976,145,116,
709,143,595,485,592,688,154,020,159,241,104,999,581,269,868,631,716,290,013,
927,931,714,852,563,412,551,860,780,711,941,007,763,553,527,430,555,723,775,
293,373,327,542,788,911,526,129,838,979,883,701,538,020,552,270,135,853,637,
868,349,950,857,927,725,128,243,409,642,767,351,831,199,564,670,714,627,384,
546,979,536,677,692,330,508,390,869,385,746,498,392,810,795,903,189,848,703,
406,552,200,821,129,801,862,324,697,058,352,727,385,534,200,269,157,507,426,
391,220,366,904,874,300,920,812,276,422,978,919,159,684,079,289,318,402,784,
754,919,118,410,078,070,430,833,815,323,200,981,532,216,857,615,964,693,825,
143,474,185,573,345,111,281,324,209,598,130,653,583,929,571,527,167,893,809,
936,351,997,729,398,942,922,845,128,500,110,955,182,800,845,301,050,873,976,
514,921,963,169,406,128,385,381,356,585,556,746,334,505,858,406,138,078,641,
158,352,678,381,281,456,743,784,525,095,013,291,295,180,957,635,106,553,732,
223,692,800,022,425,372,405,454,438,409,673,143,232,432,247,779,783,033,360,
902,714,586,483,948,036,749,258,621,995,483,760,923,123,399,528,135,579,555,
162,081,352,332,358,873,886,458,569,666,362,761,481,650,118,241,433,724,702,
140,448,019,061,742,666,693,227,898,375,307,482,325,123,002,519,830,540,333,
636,926,258,734,309,423,381,137,371,799,887,451,706,396,926,084,029,269,119,
585,026,133,016,060,489,221,979,783,772,524,217,881,097,275,559,248,577,995,
630,458,712,188,574,889,614,555,445,273,793,491,057,636,626,009,757,044,284,
550,188,611,420,586,941,792,063,631,142,755,655,280,505,019,439,532,612,103,
081,609,753,775,077,914,326,969,131,637,973,541,336,108,811,856,024,482,151,
501,287,976,186,811,260,954,224,512,246,028,091,739,868,735,468,260,612,631,
965,147,219,408,868,792,482,861,843,153,226,442,330,482,900,417,114,542,393,
045,276,779,856,367,921,563,418,499,499,728,407,329,604,867,807,687,375,824,
968,009,020,687,770,200,260,606,781,644,676,106,471,898,531,699,577,853,704,
321,208,229,317,383,768,995,143,893,656,158,241,380,633,887,117,665,157,200,
084,480,283,538,570,484,996,175,295,052,803,850,196,759,307,306,958,070,048,
755,744,081,522,406,044,871,687,866,453,927,596,046,636,083,321,379,026,189,
268,068,881,171,282,572,862,834,242,368,573,219,296,436,020,573,355,017,327,
748,433,252,909,572,102,102,530,673,094,155,767,910,625,540,727,203,811,345,
447,261,681,851,275,983,242,850,447,431,818,625,173,646,313,432,605,518,166,
003,034,027,309,778,948,896,900,174,051,296,158,367,470,356,579,774,585,181,
515,571,205,833,630,035,954,010,060,364,615,736,069,615,367,649,699,995,025,
529,947,182,333,411,321,957,984,220,803,440,810,962,687,562,214,689,707,076,
455,448,654,216,463,412,446,243,276,944,644,689,007,733,651,701,888,992,517,
625,682,223,858,323,755,205,287,361,961,743,288,437,700,617,147,479,873,747,
601,491,802,739,832,476,997,204,001,322,976,926,338,881,866,234,628,219,865,
164,707,573,440,052,322,566,160,602,309,693,977,039,363,831,176,668,259,716,
079,277,832,789,805,102,726,977,407,435,249,332,419,047,106,329,198,359,941,
338,096,913,414,710,444,911,464,842,374,178,220,135,039,184,913,451,552,518,
034,669,720,006,391,740,458,168,319,171,736,585,333,816,708,955,402,105,088,
625,157,686,055,634,642,836,915,540,940,649,802,904,027,160,651,011,422,881,
449,421,406,244,101,360,312,844,648,474,179,117,760,894,891,520,386,760,956,
748,174,150,716,286,072,424,594,813,253,622,582,645,370,594,640,622,335,767,
517,753,331,471,663,453,241,469,158,815,344,344,326,428,370,865,227,309,196,
954,015,131,540,274,666,485,383,227,210,000,884,613,114,807,204,353,844,447,
003,477,759,328,110,473,314,593,282,308,224,889,708,210,339,741,262,043,555,
820,944,761,060,765,890,145,401,612,213,401,518,799,684,007,714,437,223,763,
614,628,344,448,646,418,193,283,068,163,713,047,448,082,053,320,283,865,880,
969,335,382,933,868,445,182,806,218,463,265,323,329,159,133,205,382,032,322,
177,372,166,472,388,199,647,333,530,011,502,002,633,430,676,968,355,657,283,
282,362,212,913,429,476,225,416,757,370,217,612,350,286,164,532,288,108,511,
607,670,340,241,468,278,684,413,102,790,405,529,030,256,311,258,997,005,407,
966,955,963,122,851,088,662,143,613,396,230,565,154,571,008,953,538,086,901,
964,236,073,198,770,666,613,826,232,514,234,540,034,844,839,465,836,066,645,
817,822,291,233,603,946,011,029,487,433,614,286,602,554,746,037,461,703,076,
521,163,043,005,754,471,386,007,027,634,827,400,711,752,992,375,878,565,251,
849,133,343,975,791,904,873,079,429,302,386,556,591,754,091,278,384,272,678,
599,523,145,536,613,892,278,928,842,128,394,806,797,133,107,299,398,926,179,
438,758,216,009,683,884,695,199,166,001,794,889,391,755,491,420,978,019,912,
230,862,109,128,350,735,171,218,151,759,575,932,100,849,533,638,971,465,538,
002,711,659,394,644,563,551,089,650,477,969,022,273,244,253,073,333,269,303,
111,587,640,336,336,146,318,844,286,581,779,019,388,553,300,855,537,233,629,
739,219,935,167,543,514,193,193,938,361,522,554,842,188,962,334,626,703,340,
996,327,143,633,537,691,076,964,960,998,382,350,218,106,732,067,593,612,416,
168,156,185,649,747,465,081,680,000,877,603,580,483,210,037,381,681,509,480,
499,895,696,896,520,579,768,046,856,822,219,147,769,161,095,216,115,785,483,
162,925,486,113,426,620,000,745,872,491,792,448,072,473,358,329,567,645,896,
982,810,828,446,625,744,359,446,261,251,063,969,917,579,468,703,109,784,114,
161,441,735,131,009,853,291,470,153,610,150,096,193,127,446,473,319,856,848,
562,468,981,465,308,918,500,993,859,984,688,380,195,740,398,732,107,521,067,
727,191,326,752,981,622,527,577,294,056,681,182,995,314,922,158,474,680,165,
802,354,952,032,432,169,651,675,453,240,868,416,720,894,111,395,155,451,273,
478,209,422,803,326,642,291,652,756,721,978,325,925,703,689,105,181,823,487,
448,715,311,978,756,632,474,498,155,268,891,372,131,455,874,134,781,075,200,
877,361,755,791,612,054,616,770,641,594,557,360,596,990,501,410,878,449,339,
151,299,214,261,215,195,049,317,744,562,874,170,628,658,956,380,024,832,654,
161,591,350,744,294,060,872,155,243,969,573,289,614,560,605,050,802,953,112,
135,691,083,708,386,874,891,319,833,084,980,566,078,383,357,919,177,269,553,
871,244,165,693,163,363,862,092,006,871,408,229,069,563,312,694,179,931,678,
454,763,929,378,890,419,711,256,512,640,824,853,291,011,588,264,996,778,278,
590,153,682,659,585,418,209,495,144,592,561,540,919,385,510,895,305,775,235,
361,731,920,661,701,433,930,450,004,169,390,015,150,208,349,572,738,233,278,
453,572,208,959,137,859,862,717,452,448,081,311,345,299,748,923,112,154,721,
906,207,030,244,669,210,155,834,727,879,789,435,149,407,774,058,411,345,852,
211,721,255,352,977,459,557,595,490,797,314,078,403,444,434,152,772,314,139,
083,380,425,108,457,163,000,530,469,034,469,362,322,229,691,127,094,600,777,
747,048,326,557,288,969,431,258,170,419,044,984,640,177,124,160,758,639,151,
025,457,472,896,131,933,094,617,102,314,706,286,120,410,176,754,334,738,518,
739,416,153,248,341,369,024,345,782,136,620,611,260,529,518,770,741,815,435,
627,923,289,774,182,823,809,820,380,020,208,575,901,277,739,082,636,910,969,
987,317,225,495,883,761,212,726,537,466,682,157,704,714,818,527,827,100,215,
248,509,621,029,277,701,353,176,554,713,011,824,469,399,116,755,685,793,772,
969,145,182,449,632,627,084,821,808,857,464,759,104,181,564,354,535,797,267,
392,889,848,563,672,471,941,749,861,393,692,991,818,998,546,757,082,482,945,
012,697,526,664,925,065,821,361,396,453,368,287,930,628,364,838,069,764,154,
287,325,713,682,127,246,896,123,334,559,459,330,936,985,071,283,781,123,127,
281,280,385,374,534,762,874,532,691,868,495,454,652,542,007,598,227,389,938,
417,112,026,437,061,393,609,758,825,346,097,148,417,748,760,136,203,462,748,
874,052,949,759,365,639,602,668,361,106,040,708,931,590,335,388,712,441,496,
145,872,122,967,865,610,798,082,046,562,712,447,150,019,961,926,419,864,521,
417,836,886,997,212,985,081,979,307,114,338,308,399,582,937,166,597,661,062,
887,274,707,232,044,216,501,857,891,147,626,633,037,829,643,149,337,329,076,
333,798,887,315,887,038,846,691,842,309,309,371,061,527,950,404,328,162,898,
338,147,725,995,955,531,049,010,753,619,158,847,481,867,952,149,602,414,143,
469,677,549,950,540,852,808,025,448,523,715,846,044,181,996,925,826,886,936,
194,611,636,249,358,114,373,458,961,558,886,136,622,972,092,364,544,922,718,
084,979,962,660,678,112,436,197,828,217,402,827,176,665,601,065,224,996,896,
807,294,138,491,641,524,988,929,971,010,940,885,203,823,023,682,043,124,528,
511,158,871,212,919,412,117,426,388,698,203,126,071,841,619,127,337,996,201,
383,513,868,338,678,666,600,463,010,161,130,188,205,987,574,493,559,614,091,
462,654,855,543,075,159,332,659,971,094,952,016,786,498,134,504,817,166,676,
654,362,225,886,263,607,793,355,461,979,497,675,028,614,514,058,403,914,849,
744,240,340,052,827,760,548,965,029,440,838,908,667,089,508,258,696,146,978,
088,224,281,994,906,010,873,473,994,039,801,518,135,011,236,162,171,288,170,
872,933,624,111,909,904,167,781,099,891,918,109,393,178,290,207,028,232,242,
929,913,876,291,990,554,041,616,438,519,327,891,967,694,070,356,562,826,014,
966,700,535,371,238,728,420,070,723,964,471,961,879,995,542,885,860,985,452,
778,183,407,502,792,485,923,839,957,397,830,086,348,684,819,867,889,155,494,
670,415,574,377,142,455,157,318,869,926,930,302,681,630,667,225,274,286,354,
214,019,855,619,030,051,261,795,192,478,802,086,092,508,878,856,477,133,391,
179,613,224,693,078,065,011,030,149,169,661,945,195,068,064,692,108,270,003,
376,495,126,853,829,442,144,979,799,532,138,642,831,977,040,137,280,672,723,
616,705,389,170,051,224,426,382,142,569,926,752,381,256,965,703,574,043,379,
712,796,253,270,009,509,122,961,891,077,764,345,333,621,825,100,894,758,804,
770,407,101,814,063,139,669,556,150,347,397,141,305,422,849,110,483,177,888,
266,265,302,063,224,176,810,751,206,613,390,641,504,836,586,728,178,444,693,
307,852,642,711,559,219,956,647,330,254,759,105,368,411,566,976,348,200,327,
725,620,536,746,659,474,182,635,784,776,268,802,206,533,027,457,170,680,860,
618,236,858,522,883,988,741,474,946,844,913,879,003,314,178,745,917,275,378,
721,622,202,636,639,134,726,085,088,121,936,794,831,652,807,661,231,220,205,
665,275,922,955,837,667,346,759,495,018,266,971,006,097,107,429,259,739,277,
796,503,607,546,883,879,459,294,391,896,999,427,765,924,571,049,350,323,992,
485,903,870,078,246,152,598,231,619,983,968,912,359,515,798,141,182,232,567,
969,032,351,667,502,463,876,318,798,891,266,863,323,744,972,166,770,199,853,
005,408,235,102,761,533,056,128,121,136,996,288,724,170,487,413,606,531,668,
646,023,684,905,807,246,836,436,360,683,337,358,032,648,125,457,482,543,203,
862,007,453,711,378,462,474,503,105,864,328,286,854,699,048,059,848,050,332,
175,579,824,487,788,487,755,396,939,465,568,089,792,927,752,230,412,942,891,
464,770,645,439,820,699,886,746,180,841,234,255,197,070,068,271,679,235,352,
311,651,695,997,398,675,348,598,983,251,502,144,771,427,217,134,976,301,028,
927,140,765,354,398,601,667,271,167,414,939,882,247,296,762,398,658,031,060,
786,731,477,791,415,491,902,298,994,630,059,287,392,378,985,416,772,677,178,
015,315,574,784,511,161,472,676,833,719,942,678,415,553,276,755,100,266,626,
686,900,834,525,820,972,808,717,524,107,503,866,100,989,234,338,398,434,691,
986,586,036,554,328,971,326,328,082,573,946,283,163,433,738,761,749,679,248,
154,951,461,119,499,841,212,381,983,110,159,198,929,228,603,382,709,836,391,
864,028,317,307,516,834,293,792,231,086,283,263,803,425,857,418,419,554,006,
901,743,923,557,619,966,627,694,527,846,204,325,114,954,394,354,421,557,827,
847,848,710,476,361,044,344,392,187,690,957,633,393,530,185,543,711,493,422,
639,214,984,309,863,931,376,226,839,469,192,411,741,095,232,354,335,404,973,
818,703,469,259,656,637,577,049,268,085,135,954,885,643,362,801,591,793,828,
444,361,041,058,921,244,839,031,139,360,747,682,399,354,462,309,831,118,909,
798,257,767,276,423,551,140,417,899,717,861,531,691,888,764,257,936,756,037,
772,279,834,454,972,539,695,869,487,624,530,785,785,717,482,656,267,377,312,
718,159,826,824,769,617,524,205,945,113,674,000,601,214,584,224,042,715,279,
988,770,792,027,635,546,447,259,797,863,659,715,957,488,863,991,446,100,238,
593,106,694,394,989,484,797,036,409,193,355,539,321,150,633,454,992,628,256,
881,339,651,044,273,240,608,380,176,787,492,180,981,959,786,709,137,440,631,
519,173,020,036,229,609,867,495,977,058,766,902,492,658,355,182,775,384,842,
636,213,466,003,114,260,145,158,289,569,469,591,939,884,728,742,004,286,185,
645,186,934,270,523,772,964,727,828,517,907,745,287,075,426,761,908,929,104,
548,722,532,165,031,749,653,735,348,630,029,525,602,293,683,072,483,672,233,
960,401,649,084,583,524,921,570,577,985,361,458,875,132,721,539,189,452,006,
130,191,248,705,349,680,721,312,865,476,144,457,274,377,348,227,018,967,145,
838,760,075,067,857,310,169,308,714,175,943,659,879,693,277,455,707,594,592,
120,535,169,341,723,614,301,414,766,601,020,451,450,921,311,266,265,939,287,
735,831,993,264,714,985,320,706,604,356,931,700,463,039,500,155,613,753,139,
803,547,957,961,494,040,152,403,268,469,301,411,091,719,453,304,478,632,609,
152,048,617,343,599,542,593,818,865,612,301,204,780,605,981,091,214,477,031,
068,746,496,117,939,828,214,433,330,986,055,636,623,003,987,804,169,772,437,
844,108,362,813,869,062,844,100,370,589,513,589,572,358,993,922,772,977,096,
146,939,938,221,799,424,964,963,343,588,146,750,128,472,250,528,764,131,892,
336,127,962,438,638,415,199,737,337,052,689,869,249,767,329,383,864,297,956,
926,276,783,154,348,655,274,300,758,658,742,777,763,388,003,063,529,817,309,
084,854,475,709,174,470,083,360,474,362,022,432,938,918,401,562,925,152,454,
474,109,375,080,437,110,155,688,211,506,137,367,466,695,671,534,056,347,404,
767,107,087,497,271,604,864,227,563,193,400,810,754,462,343,343,708,744,862,
452,774,893,151,458,067,186,620,691,348,458,477,514,828,460,471,207,122,071,
653,649,716,208,524,583,513,240,093,382,750,081,371,367,496,046,239,710,981,
153,933,003,771,956,394,835,363,829,867,445,217,332,042,825,968,372,731,638,
691,608,527,513,576,679,410,012,032,947,724,818,030,571,690,580,106,283,160,
918,331,431,725,968,017,513,923,999,809,401,830,369,399,765,528,232,953,977,
164,417,450,872,523,145,496,938,358,932,631,929,295,602,655,253,387,922,255,
216,863,176,416,076,994,722,773,338,774,856,109,429,364,783,051,789,756,821,
357,507,978,551,051,964,011,674,800,479,577,859,731,273,646,449,111,359,743,
275,920,855,414,268,928,619,696,855,638,708,479,960,665,909,406,026,780,140,
828,613,232,110,028,588,633,495,173,580,588,004,207,248,339,836,634,826,799,
230,630,055,420,848,074,206,270,981,965,420,412,720,991,817,795,266,243,458,
727,800,077,364,171,976,450,976,894,911,865,318,173,453,394,282,480,424,572,
267,728,101,376,417,394,874,017,511,599,565,019,799,689,374,837,699,553,557,
124,557,394,002,164,959,035,102,444,854,117,258,549,940,570,836,404,793,267,
755,817,683,364,796,646,762,018,431,433,508,643,607,287,961,869,925,753,997,
598,606,650,579,214,957,747,995,230,696,635,361,652,359,994,816,967,668,755,
295,432,711,959,646,037,632,040,266,258,926,638,772,261,453,670,287,785,474,
989,080,730,422,117,514,947,975,149,860,214,580,300,020,553,797,973,593,867,
087,158,447,495,252,547,302,011,223,279,759,191,221,402,683,620,219,844,475,
996,605,699,013,795,886,645,971,308,393,913,974,214,132,005,007,322,405,769,
281,403,215,984,427,864,478,725,468,720,724,333,570,700,869,710,925,182,178,
373,020,368,485,712,308,554,818,933,087,167,256,799,747,601,063,237,226,752,
191,434,540,597,386,518,262,071,824,474,292,825,257,313,000,817,188,616,633,
027,278,363,238,011,719,683,281,781,694,886,633,577,220,743,946,434,092,178,
858,947,350,732,636,536,026,866,059,062,255,507,597,842,152,521,034,290,100,
589,789,681,897,959,446,425,137,607,793,679,691,427,602,642,068,064,117,513,
500,542,817,279,147,335,699,760,925,292,397,682,575,732,075,704,128,574,765,
408,236,669,114,469,608,640,675,848,540,064,124,483,354,006,743,394,969,118,
768,444,719,250,069,788,803,326,403,722,770,788,587,738,271,634,064,831,213,
999,511,131,210,281,584,968,412,521,410,124,651,956,960,191,320,407,314,584,
710,754,124,651,505,075,371,863,629,904,350,044,183,845,934,424,623,349,127,
069,222,391,032,947,276,613,793,659,331,208,839,958,764,926,287,631,358,874,
340,906,596,261,125,637,721,862,770,012,329,412,185,158,945,430,376,932,805,
452,214,289,549,289,073,408,250,519,436,344,367,878,703,494,120,194,073,707,
472,279,527,798,093,721,762,181,747,129,244,412,404,856,328,561,539,101,534,
208,247,800,534,890,516,963,372,867,591,808,917,964,176,482,452,297,433,767,
687,174,650,427,155,335,187,078,070,216,762,428,054,538,653,766,662,421,493,
126,707,718,889,101,602,887,060,128,060,477,180,291,119,957,417,928,357,228,
194,893,767,315,122,717,327,239,482,278,109,625,620,969,502,713,073,340,944,
738,227,694,013,557,442,799,482,497,916,954,840,151,902,347,659,250,067,251,
297,152,969,949,167,825,879,962,208,061,425,047,356,529,344,131,966,726,921,
858,863,894,271,704,007,301,186,082,851,504,862,424,021,610,483,787,787,289,
926,603,049,474,031,183,412,974,546,090,714,852,938,672,438,055,948,837,499,
220,133,213,074,915,743,031,363,406,448,632,612,132,610,332,350,769,244,176,
746,470,874,791,206,300,580,801,191,931,640,772,095,419,815,238,737,082,432,
926,792,507,082,550,773,883,060,079,042,833,593,196,993,962,274,313,573,235,
310,840,222,467,788,074,205,962,873,659,578,965,725,651,143,203,570,050,800,
042,409,953,117,431,344,834,986,410,440,040,988,623,021,109,586,044,644,384,
427,875,808,861,111,849,236,038,786,142,880,225,744,059,957,109,405,571,940,
782,882,545,798,560,688,269,590,369,658,945,065,164,728,252,678,062,416,541,
755,503,181,417,789,657,289,013,970,133,224,217,149,537,951,928,496,492,254,
987,997,437,472,246,601,545,766,131,519,000,067,425,283,837,846,576,693,163,
128,764,751,052,488,754,565,130,593,676,944,638,587,688,061,875,288,984,687,
127,906,304,816,961,613,470,409,820,154,623,696,092,992,414,999,227,488,229,
967,616,745,655,169,972,080,275,968,662,507,338,942,247,789,435,355,628,617,
185,386,410,494,879,240,802,912,369,058,218,258,814,325,047,878,124,870,198,
706,987,215,764,082,713,645,784,628,520,968,361,724,658,146,789,624,290,879,
665,518,333,730,152,935,488,679,169,968,325,150,779,521,917,166,189,447,842,
128,871,385,964,451,962,416,656,730,917,729,989,333,440,440,916,327,483,324,
774,152,577,024,547,400,074,099,668,305,915,904,619,559,402,275,818,223,439,
706,094,141,578,960,931,483,930,758,003,307,779,609,617,325,679,125,532,560,
084,718,326,167,343,752,938,590,068,575,247,128,157,880,414,172,903,767,488,
774,867,195,174,401,633,313,953,449,950,139,305,896,530,643,893,923,695,143,
523,629,926,413,184,922,469,473,508,542,268,065,422,006,358,844,295,709,323,
413,899,060,238,654,939,768,507,625,433,110,709,773,514,220,747,676,957,195,
307,308,399,105,522,362,584,949,178,444,640,906,415,166,206,993,214,874,798,
336,904,124,779,370,404,947,033,827,419,639,284,891,049,139,544,768,393,596,
640,849,301,827,785,953,967,318,283,357,139,578,662,104,105,453,801,463,593,
897,949,147,046,828,928,745,009,021,225,214,372,143,611,985,915,894,912,943,
042,217,447,704,092,860,346,857,886,869,803,541,312,939,356,195,938,948,127,
348,898,320,300,523,097,852,697,235,603,660,483,183,247,431,765,362,370,078,
701,531,422,881,051,780,566,211,307,049,599,747,733,514,810,050,571,800,588,
938,662,009,224,066,022,367,766,905,567,990,463,855,342,366,687,873,929,594,
403,696,476,065,667,043,794,873,132,272,094,492,025,065,729,871,686,391,768,
292,012,912,721,315,042,220,808,445,287,783,528,850,057,825,457,825,273,639,
495,155,992,686,564,264,096,977,598,686,738,436,711,508,176,873,306,554,737,
460,376,130,473,717,873,460,319,766,290,437,354,903,557,114,289,517,301,522,
604,371,241,177,564,975,824,464,005,547,021,195,217,320,608,767,063,825,474,
895,419,442,215,928,026,233,198,517,098,376,676,617,263,783,374,435,448,217,
443,183,469,792,784,000,067,334,995,090,623,649,754,820,892,903,895,391,941,
067,195,382,158,409,260,227,505,698,931,111,054,326,347,960,484,023,584,890,
850,264,451,412,281,106,708,791,451,945,443,663,310,776,319,041,759,666,380,
252,862,795,790,037,041,989,546,197,464,100,367,154,529,133,161,705,179,498,
318,399,844,729,549,857,239,160,807,808,298,925,095,730,859,093,793,382,396,
183,573,972,210,503,487,398,307,381,508,442,852,074,098,318,953,316,634,685,
855,884,033,355,485,650,839,327,553,294,854,421,797,500,979,048,064,595,761,
358,746,012,879,562,310,404,858,621,026,449,155,622,606,666,839,985,136,598,
725,161,717,324,897,374,792,567,159,882,240,166,624,559,249,957,452,179,845,
242,011,377,611,276,568,204,929,999,344,094,282,687,167,704,319,237,544,381,
199,379,473,911,091,162,866,571,081,586,270,626,295,679,990,099,659,216,292,
602,281,269,112,711,288,448,012,245,849,711,770,416,890,344,153,189,713,208,
419,814,240,692,272,336,105,324,249,581,383,494,362,993,097,762,470,196,199,
963,231,308,827,897,510,753,390,324,641,045,486,654,499,440,784,403,465,124,
239,363,355,337,151,867,252,747,911,906,742,432,337,702,969,859,865,763,381,
183,159,716,132,358,483,953,937,135,707,863,681,032,724,479,570,362,883,314,
322,266,171,446,680,806,750,728,742,191,714,812,431,813,404,570,905,612,476,
213,957,581,465,396,505,910,651,742,841,249,313,307,131,320,196,142,774,963,
088,178,504,706,681,183,599,224,465,999,644,075,667,857,690,637,969,048,579,
699,696,285,198,679,997,684,898,387,438,321,486,236,769,185,082,975,018,054,
999,648,069,346,638,582,543,616,125,361,218,568,341,065,796,894,422,734,476,
908,076,413,220,455,832,781,219,940,542,128,127,913,872,450,920,746,594,619,
739,409,469,629,667,237,650,840,290,415,929,774,240,349,660,745,055,458,404,
396,023,662,345,855,355,018,988,189,165,628,763,006,584,267,509,849,603,531,
893,740,535,387,435,515,377,422,749,413,116,513,784,664,836,142,130,234,231,
467,074,283,175,961,013,504,588,479,129,271,780,668,008,587,845,207,656,515,
708,971,811,003,245,515,614,637,933,289,993,654,850,444,046,499,048,219,626,
531,384,367,252,778,026,964,739,692,991,895,393,870,650,977,557,850,859,135,
751,209,128,453,365,841,583,748,393,573,158,911,435,310,016,341,012,709,661,
600,696,431,703,800,713,468,746,584,760,512,758,835,616,130,110,977,590,461,
656,775,364,336,210,700,933,025,098,671,884,602,514,356,070,485,411,128,067,
769,730,439,148,636,525,072,506,483,611,765,662,809,158,412,617,544,427,422,
806,092,100,000,255,803,723,930,521,222,384,189,882,587,969,787,057,757,666,
288,433,553,785,873,371,010,588,925,387,541,044,402,477,109,754,329,708,746,
360,613,952,439,169,563,787,107,849,917,681,898,908,504,807,876,325,838,032,
085,412,862,458,028,692,386,725,749,707,301,855,526,546,771,474,629,080,262,
469,274,344,178,575,564,381,103,259,613,456,698,315,075,594,244,212,329,910,
697,364,647,030,429,859,360,213,547,082,451,793,167,091,224,417,423,020,079,
513,602,852,097,520,943,084,570,935,288,151,364,447,440,973,298,506,928,592,
182,259,527,891,481,724,928,228,908,330,865,938,776,891,809,169,643,918,089,
744,629,106,465,918,789,294,673,628,024,133,254,995,062,902,380,113,198,676,
751,131,861,462,715,657,947,339,835,021,957,035,426,473,707,067,495,912,041,
849,505,667,709,853,453,291,110,843,196,494,499,316,214,988,180,363,788,964,
437,691,874,621,909,234,354,394,220,602,150,840,813,411,625,655,874,129,104,
747,519,218,637,239,025,881,205,077,913,670,394,849,151,726,149,104,422,234,
185,771,702,595,847,153,339,642,825,614,862,845,948,178,454,657,637,633,188,
373,465,165,768,271,940,151,451,707,277,191,832,792,844,553,497,662,246,256,
771,184,654,644,061,876,089,381,218,706,864,543,594,097,520,617,269,616,035,
324,303,128,345,202,292,298,868,810,018,647,649,306,797,756,020,322,678,090,
674,957,504,407,782,295,690,019,986,503,205,848,806,112,705,651,641,792,652,
203,578,881,653,300,601,517,199,826,732,298,827,677,365,208,634,857,635,246,
858,659,737,118,708,798,708,959,512,758,977,339,820,584,605,481,925,435,257,
368,710,940,603,750,115,250,608,022,957,630,741,459,650,807,136,165,428,170,
296,273,358,700,329,868,148,726,752,780,803,564,285,521,289,472,435,636,287,
524,754,337,178,388,595,821,072,027,734,215,841,026,225,128,921,593,263,118,
097,145,319,503,893,858,506,631,709,035,051,412,586,755,416,356,184,332,597,
978,277,731,834,118,135,268,360,347,029,492,797,064,118,540,879,702,675,273,
771,443,710,131,775,530,342,326,331,326,401,051,157,875,512,395,351,892,595,
255,278,839,177,001,359,764,309,616,005,595,152,503,276,767,382,790,253,141,
218,440,373,336,377,026,743,961,943,771,386,947,567,797,487,618,842,434,382,
444,157,347,454,332,404,901,884,666,916,209,397,190,698,355,945,222,506,827,
710,916,392,677,923,996,700,350,227,362,383,928,183,933,360,312,714,338,648,
852,967,704,194,778,933,773,820,436,153,446,807,420,471,345,679,057,115,694,
968,690,077,607,834,040,768,470,077,404,723,762,970,799,456,000,370,172,581,
366,756,740,465,536,494,260,366,487,954,858,901,649,985,486,645,955,768,117,
834,288,733,847,092,049,638,810,991,018,147,925,346,728,438,185,099,597,602,
769,663,958,759,396,204,092,490,717,080,295,926,381,457,572,025,389,105,691,
035,812,188,479,107,994,085,268,888,696,710,909,147,934,220,483,545,671,693,
059,805,024,284,206,030,025,370,019,021,008,528,321,952,129,730,201,162,119,
682,247,763,066,743,020,359,884,953,552,734,693,264,143,593,628,140,045,960,
679,244,130,393,610,628,951,042,815,961,536,693,254,944,840,044,594,136,442,
438,158,669,365,212,414,177,765,594,952,141,546,647,704,229,086,980,605,402,
155,677,134,278,266,214,642,638,547,461,353,117,725,474,524,913,095,676,682,
470,808,344,053,478,437,000,112,468,015,539,792,143,115,041,793,836,618,373,
501,652,378,102,141,946,940,116,677,883,055,679,335,358,493,527,937,070,447,
460,419,359,262,478,015,587,990,369,741,891,964,783,164,718,004,852,167,153,
105,843,969,408,515,428,326,429,543,081,542,161,578,398,292,533,554,699,551,
539,010,650,887,831,714,438,237,769,597,667,906,696,859,613,220,005,700,271,
376,348,509,596,886,512,908,109,571,020,022,748,709,847,565,485,464,281,157,
841,115,461,819,588,903,446,715,377,048,169,488,347,310,975,488,294,612,924,
543,557,053,543,517,795,035,495,187,439,541,069,489,345,908,553,620,243,425,
457,709,999,339,088,646,641,578,230,970,226,575,930,141,271,581,260,311,967,
017,691,199,985,989,949,892,927,715,413,046,686,048,196,140,562,582,190,427,
827,751,607,631,990,038,605,308,182,384,333,792,997,755,718,460,020,219,909,
039,789,239,235,093,418,019,207,505,067,562,329,100,179,956,909,147,791,321,
739,672,024,094,642,457,140,632,097,110,852,859,308,424,676,932,144,538,499,
241,917,496,762,395,242,478,518,833,361,030,184,684,745,293,942,561,901,256,
893,168,411,976,162,701,117,396,673,299,844,147,798,924,960,898,880,159,576,
175,969,826,128,217,676,815,331,708,717,089,136,990,242,615,128,461,876,059,
375,804,343,753,667,043,502,927,035,804,526,488,686,724,802,772,479,747,301,
613,898,359,672,334,376,314,216,122,130,384,707,263,022,761,247,241,497,577,
767,726,946,149,464,071,866,137,524,939,012,523,176,133,784,954,187,792,653,
793,303,610,538,990,838,282,834,129,687,156,011,783,989,340,620,461,406,934,
139,801,742,378,936,282,553,055,874,393,311,273,137,225,949,713,128,678,077,
255,055,862,907,364,482,284,829,550,980,253,044,254,617,696,583,594,472,799,
420,280,204,199,977,050,292,938,063,596,209,174,169,113,438,818,350,227,961,
748,536,179,714,886,665,587,564,409,495,967,096,860,828,130,552,432,829,078,
298,693,409,975,956,027,562,889,844,714,004,661,494,238,025,582,387,636,470,
624,394,736,622,194,482,358,811,447,127,060,722,806,686,462,952,432,532,135,
234,549,102,200,369,694,757,378,399,095,284,062,461,604,237,692,640,894,380,
680,257,421,544,437,276,389,008,360,040,040,044,896,809,682,680,008,515,025,
207,401,814,311,153,447,195,275,321,755,405,460,384,140,318,592,903,596,421,
610,298,630,232,063,019,684,490,715,661,980,831,035,096,692,311,790,187,799,
289,178,471,035,138,063,327,464,906,320,856,491,711,062,390,891,426,958,773,
107,293,184,931,850,894,686,533,464,939,734,522,929,440,913,422,085,572,076,
177,303,983,335,971,618,948,553,548,237,067,719,301,256,474,386,114,200,359,
679,420,143,599,657,596,430,710,939,198,743,620,022,116,386,170,642,869,848,
171,170,282,839,422,393,017,414,365,404,739,886,377,645,798,646,839,471,826,
287,992,696,051,768,707,712,422,300,144,299,707,022,447,313,576,674,702,961,
461,119,810,789,251,778,180,124,536,273,592,965,797,474,485,230,063,475,323,
641,343,630,327,424,902,264,594,415,411,855,287,246,438,399,015,637,419,105,
124,754,217,108,254,147,322,805,503,223,552,003,388,597,508,586,633,338,518,
747,228,235,207,204,843,561,652,912,683,514,793,990,134,849,888,502,245,528,
922,893,712,899,503,702,210,316,066,856,318,304,820,205,021,447,820,932,196,
310,269,506,403,947,539,575,829,730,662,331,941,342,356,573,954,849,543,486,
516,885,729,225,842,113,179,738,709,653,492,857,838,802,170,220,675,540,777,
974,035,000,056,262,260,048,555,369,766,508,390,841,173,557,539,060,617,358,
557,885,410,482,575,664,958,811,318,906,466,746,479,696,325,297,748,436,566,
298,132,039,319,465,660,828,018,455,753,297,150,635,685,642,709,458,146,084,
369,171,065,893,668,339,813,554,312,521,773,261,412,902,530,391,876,187,671,
998,175,749,002,295,724,053,592,036,884,193,467,441,131,652,258,790,051,136,
099,221,002,110,566,396,267,979,651,817,788,704,096,187,228,625,611,311,984,
955,636,242,814,932,203,206,325,766,500,003,360,190,814,009,875,183,074,988,
449,149,654,354,221,653,744,687,721,433,078,070,775,720,742,127,678,119,811,
426,920,360,000,639,546,584,316,198,601,623,836,525,069,778,796,331,046,420,
773,611,067,281,043,174,047,003,971,578,013,670,833,991,646,984,663,470,585,
609,149,647,779,279,950,513,916,264,667,840,584,950,541,712,761,133,535,013,
341,954,217,995,562,922,965,852,410,340,788,073,478,359,228,131,107,609,388,
558,602,092,718,649,643,619,450,424,035,261,828,690,883,901,164,978,013,043,
055,973,567,030,525,794,504,393,343,326,897,280,951,940,448,042,762,771,247,
025,132,953,876,984,184,678,205,609,583,150,525,052,260,553,231,114,302,484,
058,337,525,199,301,451,552,071,766,227,454,693,194,086,884,134,669,935,393,
223,148,668,488,477,529,335,806,853,443,590,447,253,607,687,226,861,457,071,
338,513,378,568,529,875,590,215,076,745,708,657,676,962,512,523,557,782,654,
004,004,682,893,149,946,268,695,779,846,055,604,115,846,363,470,850,019,789,
983,746,740,907,314,715,781,774,504,000,718,835,226,608,073,588,124,805,413,
931,552,912,898,363,238,633,848,886,176,577,323,960,983,836,369,637,817,482,
447,126,305,294,428,896,933,138,056,199,205,832,667,502,848,393,595,554,918,
972,909,390,737,328,107,007,980,407,823,596,643,817,152,626,609,930,345,352,
207,956,967,811,834,413,859,445,812,642,701,579,333,953,699,712,926,724,714,
381,692,674,808,159,268,943,730,607,931,740,891,509,257,827,704,225,928,130,
328,234,072,101,519,287,824,934,135,785,874,268,424,279,805,793,173,716,462,
769,032,687,949,335,385,423,812,404,258,228,351,095,045,748,845,748,265,054,
973,918,592,592,225,034,634,475,994,639,188,933,498,763,996,869,942,498,203,
239,436,403,441,028,851,902,142,376,027,941,924,300,357,513,928,720,235,870,
085,563,033,246,156,113,007,139,446,982,255,275,253,049,865,909,992,645,753,
024,714,097,727,861,061,730,665,079,493,661,885,644,909,231,400,773,777,322,
845,925,621,300,422,645,808,214,740,709,206,311,410,962,469,486,351,230,097,
669,754,534,052,670,693,539,751,477,006,173,726,987,224,639,341,391,874,528,
911,934,729,469,591,002,122,645,467,915,897,381,903,831,063,803,350,999,096,
219,647,719,196,920,414,923,566,889,747,142,172,045,353,853,454,341,721,255,
710,346,292,924,466,815,331,074,949,893,034,298,027,720,068,009,995,491,647,
001,730,547,561,225,139,025,349,396,714,671,013,934,077,308,378,492,992,799,
747,683,811,066,388,882,406,000,477,067,767,629,797,352,915,510,115,519,787,
593,255,022,333,062,503,202,876,964,953,229,333,102,315,805,002,631,223,829,
653,148,279,406,035,039,180,501,508,627,282,476,478,203,961,412,314,438,564,
746,721,157,571,599,078,570,609,922,002,288,924,575,815,202,011,811,868,154,
372,249,027,672,576,328,347,075,853,275,005,548,469,589,874,437,420,909,909,
205,064,049,437,009,709,746,051,775,855,880,364,257,819,954,259,413,402,867,
951,435,541,434,616,720,976,375,839,244,826,784,350,902,840,292,275,375,447,
939,460,094,358,578,449,379,322,568,631,301,126,764,577,642,880,633,372,077,
378,266,712,388,758,210,789,789,605,414,598,117,092,386,711,306,551,389,810,
447,229,507,258,636,478,027,082,827,118,760,198,343,517,877,489,901,164,511,
423,139,433,950,910,438,479,026,943,067,309,052,924,750,080,477,435,723,231,
572,857,471,455,617,474,756,095,362,864,006,215,864,108,502,890,731,053,145,
767,389,753,627,045,134,924,041,780,148,300,067,463,537,756,804,209,781,468,
239,491,912,673,802,012,228,076,312,638,019,402,050,340,528,816,094,468,549,
011,266,460,097,292,220,317,959,932,012,948,654,913,518,763,047,517,691,815,
712,915,405,203,567,406,128,501,829,470,160,998,280,282,900,416,161,499,921,
554,754,089,878,164,835,103,695,522,454,750,742,434,286,126,958,765,905,640,
324,299,281,967,140,536,524,912,774,002,082,775,782,584,276,829,452,883,333,
424,222,512,718,349,363,776,116,069,493,362,584,319,608,468,473,021,809,270,
881,814,127,745,622,172,523,955,509,466,558,058,537,240,808,032,989,818,069,
595,812,100,760,514,962,615,158,667,182,824,794,788,047,080,201,730,192,262,
437,632,693,836,942,641,767,631,767,877,041,299,011,778,602,535,677,648,483,
034,945,078,939,230,817,573,327,767,317,124,659,886,512,506,030,623,771,772,
269,500,438,752,132,605,725,986,192,153,691,960,478,416,201,273,801,833,780,
840,249,531,233,401,794,362,567,421,827,659,834,297,890,815,204,614,713,324,
341,129,329,523,858,803,638,945,981,584,294,674,517,239,966,631,447,722,845,
081,998,710,040,815,028,960,028,744,685,872,707,424,450,096,827,869,248,601,
205,271,238,021,830,573,981,244,322,901,415,561,461,651,463,131,443,360,999,
433,001,644,526,672,330,907,669,230,198,747,602,458,152,376,596,472,161,581,
613,034,534,792,454,382,841,547,835,779,839,440,514,683,781,401,338,107,070,
871,832,548,562,701,314,685,496,524,760,138,939,288,379,324,329,913,433,203,
903,957,267,049,041,952,805,878,478,617,240,514,329,974,165,205,261,901,505,
382,958,408,571,037,842,115,914,691,120,617,906,317,071,619,234,382,222,515,
765,007,221,975,320,784,421,016,599,972,985,630,328,816,452,705,359,219,986,
466,460,301,411,213,184,553,717,073,896,104,277,233,477,509,704,059,623,331,
505,944,302,438,337,343,075,654,433,079,708,903,930,197,912,980,767,788,708,
556,143,172,351,636,826,247,566,790,559,009,799,521,065,056,373,453,442,420,
127,359,211,057,191,617,734,936,610,513,016,197,221,273,239,554,779,613,662,
253,165,716,177,431,855,996,302,410,605,691,783,803,896,767,960,016,306,683,
539,302,658,683,081,066,819,710,767,670,674,114,771,081,842,044,920,788,165,
394,714,807,791,019,008,750,315,998,311,972,721,417,345,276,782,995,850,031,
087,620,301,045,641,609,085,335,835,524,954,982,339,649,286,589,105,727,770,
816,582,504,928,764,435,546,773,444,519,829,616,569,081,864,540,110,797,454,
186,358,143,959,388,932,710,980,494,152,959,529,353,919,245,624,649,682,774,
483,028,262,184,106,828,523,774,430,283,263,945,275,562,149,314,506,149,398,
873,102,479,736,968,716,247,476,803,313,070,903,589,264,603,365,517,537,652,
525,303,583,875,667,593,873,477,593,616,603,502,084,853,650,775,311,099,737,
962,426,578,148,488,116,004,930,556,421,924,933,112,146,202,380,934,193,701,
872,337,568,070,995,589,433,493,594,267,655,138,060,244,436,397,901,695,933,
133,481,196,458,461,060,008,326,349,610,415,282,742,894,462,444,911,207,951,
438,814,322,325,301,049,221,966,709,298,198,902,192,155,857,864,503,180,418,
183,554,414,399,934,081,416,821,065,112,519,435,366,832,297,033,793,176,802,
708,940,101,593,508,263,367,323,074,974,135,708,969,260,240,076,998,691,311,
321,362,827,801,048,329,041,999,100,802,543,647,058,407,677,084,137,342,782,
848,848,772,162,515,323,647,354,569,611,259,851,397,794,797,513,809,209,391,
735,804,229,960,994,993,321,462,491,992,266,814,912,366,258,403,996,105,933,
827,693,606,656,152,617,299,871,866,338,789,043,411,089,207,105,853,374,921,
480,936,066,602,799,377,994,117,907,396,908,400,170,034,720,438,803,433,522,
028,891,042,381,750,217,473,719,755,429,559,539,673,831,131,565,576,675,036,
291,709,834,426,273,727,357,512,619,400,967,556,216,886,368,433,261,149,129,
350,327,956,396,810,468,169,662,026,694,240,294,396,572,393,086,341,227,364,
092,514,899,837,103,768,759,476,409,896,571,887,849,477,706,418,872,068,837,
227,891,054,074,807,162,902,864,040,351,815,250,011,189,402,456,341,378,006,
320,188,110,340,019,481,940,025,834,314,461,345,771,195,153,694,308,023,153,
985,256,505,233,351,426,715,673,759,547,051,546,322,498,497,279,854,411,799,
216,293,927,710,127,403,934,210,168,717,268,933,831,929,224,863,358,081,466,
824,174,202,728,805,452,034,707,935,579,534,899,556,462,953,398,913,859,449,
397,099,599,454,272,515,826,543,773,007,601,342,372,010,965,354,975,892,230,
707,171,932,898,698,330,299,331,292,964,803,498,757,614,290,258,336,478,026,
018,489,283,728,992,291,436,570,616,431,784,605,158,872,020,428,752,985,138,
381,458,699,507,406,248,578,270,598,905,865,244,767,966,837,265,355,839,440,
597,724,109,806,571,109,906,804,750,713,690,534,417,456,820,929,086,316,292,
103,729,679,663,361,372,954,643,620,283,948,197,007,947,505,119,953,381,216,
417,847,631,524,765,059,703,991,407,143,700,661,273,104,747,636,553,400,649,
392,401,681,666,045,140,337,073,655,366,755,507,698,620,027,455,434,148,247,
283,078,456,669,293,554,801,280,884,404,960,091,053,712,530,949,616,410,046,
559,695,642,905,533,694,577,610,167,626,462,769,141,671,322,366,746,736,660,
067,542,512,774,551,827,628,260,258,792,263,725,937,784,180,041,565,320,589,
081,956,857,541,967,373,775,882,757,176,977,838,768,668,401,277,490,890,867,
378,275,301,552,506,205,370,044,138,133,145,876,051,296,171,999,600,096,341,
020,779,806,539,907,954,097,177,921,114,226,040,382,840,821,087,508,568,506,
821,875,955,597,720,445,762,981,772,549,498,396,173,077,399,769,729,441,140,
993,949,009,330,831,600,205,775,114,185,302,609,316,494,207,200,239,039,649,
859,792,911,622,114,899,623,494,009,398,202,470,847,332,259,278,523,979,900,
265,566,360,040,091,915,318,672,419,648,031,503,174,288,762,479,244,764,948,
052,189,013,208,407,053,745,572,026,633,671,809,342,089,372,297,406,451,485,
047,465,292,567,851,594,326,449,186,506,362,440,528,708,535,085,848,743,819,
493,204,605,250,694,029,444,515,966,844,863,625,917,618,510,639,432,846,146,
734,068,324,027,752,322,440,781,718,448,070,292,207,848,004,179,490,244,200,
099,168,646,495,710,289,447,254,918,677,100,180,460,965,239,740,945,659,332,
643,727,292,902,695,101,649,351,635,261,383,580,901,879,452,949,732,046,216,
553,764,809,445,147,538,684,916,201,288,624,811,387,482,082,124,410,414,012,
258,076,757,966,702,529,191,123,375,966,220,392,386,351,884,757,181,453,142,
118,489,618,235,706,700,036,524,006,428,258,061,672,789,627,761,271,174,763,
468,807,502,570,588,712,955,032,342,941,396,041,957,135,284,463,500,094,431,
178,707,442,109,977,360,095,305,452,004,045,626,243,256,951,229,999,505,268,
223,294,725,488,980,289,486,419,027,721,939,156,134,218,237,528,034,939,279,
399,697,525,164,642,458,720,501,638,654,511,109,950,770,383,826,670,916,515,
734,950,691,160,645,691,776,177,822,199,271,529,128,446,984,185,474,033,820,
387,056,148,847,470,430,001,891,514,404,793,538,225,474,450,249,719,028,064,
229,917,884,621,670,917,416,494,797,420,326,718,287,586,137,823,105,665,309,
292,755,438,223,261,768,662,653,521,854,898,079,668,038,798,344,112,465,624,
878,938,827,325,363,348,913,014,318,051,955,515,850,821,140,192,680,512,118,
354,841,595,616,912,924,308,298,856,250,468,279,514,187,258,837,709,023,085,
593,595,101,805,402,722,941,797,672,877,338,041,366,833,292,142,823,471,924,
423,515,078,136,740,372,135,322,204,036,349,119,437,011,402,762,991,870,723,
434,622,305,665,231,855,603,047,239,620,802,922,845,930,369,735,358,190,415,
595,430,412,548,270,175,994,925,282,884,849,964,324,251,039,351,106,368,859,
183,695,753,062,437,407,226,155,176,201,111,155,916,999,274,919,755,268,579,
173,463,790,203,886,623,437,347,452,616,506,628,324,080,190,149,290,046,059,
526,381,495,406,987,721,409,219,372,934,094,640,673,515,278,383,660,909,464,
872,912,248,655,502,523,075,820,967,227,231,139,821,678,819,802,394,400,203,
164,628,370,824,797,105,819,169,910,921,667,037,233,901,767,728,429,653,024,
354,429,544,048,616,268,721,812,841,100,171,637,195,735,499,720,393,434,837,
329,471,329,428,510,470,027,719,001,060,805,759,232,889,276,177,352,526,249,
292,650,755,247,749,409,983,849,998,815,047,720,655,514,530,706,618,994,875,
706,058,264,656,781,554,504,173,847,827,198,013,804,011,637,758,718,421,632,
031,245,056,108,299,284,337,478,119,090,623,506,155,972,430,126,644,689,669,
419,413,391,220,213,006,192,694,037,366,730,414,662,778,211,802,432,040,725,
562,108,164,167,534,105,530,947,270,574,319,595,181,769,670,933,751,789,968,
478,798,319,938,448,252,387,936,762,974,596,269,266,026,233,001,914,131,812,
665,575,946,545,204,964,219,557,700,882,264,038,987,185,429,710,656,801,143,
331,201,826,767,740,175,051,669,224,710,428,914,685,554,305,765,901,132,532,
670,486,927,486,849,684,877,481,406,888,668,366,934,528,796,843,477,139,633,
648,686,162,753,967,533,701,192,300,158,248,690,901,167,081,070,673,493,755,
823,309,972,641,262,938,051,276,775,494,369,548,991,146,848,578,361,236,594,
188,749,446,686,699,520,454,313,678,481,566,893,174,372,369,889,505,106,515,
482,980,441,986,372,550,709,353,934,614,499,848,651,479,214,575,211,250,872,
709,333,652,186,988,207,500,557,446,344,105,555,758,454,978,498,519,464,425,
105,903,030,554,447,764,365,846,096,733,864,758,301,123,564,707,995,472,281,
034,113,747,725,968,167,480,365,060,924,891,351,607,018,378,447,911,559,089,
757,546,668,429,422,658,807,444,907,488,456,277,949,407,382,102,181,245,909,
212,516,691,356,444,029,227,257,350,419,376,836,553,229,631,684,752,678,654,
099,010,722,328,217,530,983,127,160,933,791,132,530,939,609,292,510,849,480,
366,729,737,198,424,231,062,934,221,071,801,878,241,290,260,028,750,288,142,
028,897,575,868,377,861,854,578,923,421,118,403,731,935,142,950,120,482,298,
674,909,548,837,915,247,501,067,515,170,388,999,778,417,033,900,960,965,759,
930,398,259,067,002,962,416,377,748,986,520,953,643,664,823,602,979,030,333,
966,994,910,636,773,571,897,282,687,007,036,166,544,700,094,356,268,352,923,
601,918,672,934,935,306,828,013,994,396,149,807,131,638,161,987,669,235,958,
380,070,050,493,195,733,787,056,158,637,546,640,703,633,499,810,137,977,539,
077,475,007,712,516,262,912,478,279,874,577,790,279,786,499,740,923,873,722,
178,280,192,482,914,619,757,318,390,567,677,608,856,430,293,364,005,933,567,
685,479,136,160,893,750,252,134,871,185,482,982,748,389,400,480,618,734,339,
237,150,759,553,997,510,966,660,103,533,917,865,297,236,545,573,361,820,650,
997,746,189,846,691,677,284,548,272,025,963,778,032,729,615,028,320,656,363,
187,029,750,032,473,029,552,798,459,081,009,835,149,381,393,831,058,740,709,
920,741,126,489,953,959,008,092,031,419,869,943,119,235,870,811,050,968,553,
639,645,274,691,662,054,986,093,184,025,568,581,243,107,626,935,893,297,811,
434,826,364,979,553,505,671,633,357,780,681,842,094,693,488,725,047,494,346,
736,535,264,158,073,296,480,555,286,771,581,273,290,280,328,320,843,363,033,
651,362,948,177,597,515,614,340,265,222,432,140,416,332,043,747,987,983,151,
542,183,007,305,262,435,084,140,738,381,390,949,811,427,505,892,124,627,206,
855,800,534,680,182,599,134,467,286,557,938,784,920,139,595,803,730,462,029,
568,227,377,612,585,049,737,529,472,463,924,871,999,780,451,062,245,926,100,
354,537,146,685,692,117,311,283,939,951,695,868,164,249,827,097,670,533,696,
666,011,893,006,164,659,832,204,798,386,881,897,433,645,833,933,186,661,878,
664,886,758,971,701,718,513,716,439,794,082,797,036,584,328,534,855,966,073,
934,260,320,092,218,496,708,153,920,943,953,941,874,809,224,609,984,507,669,
465,139,098,239,228,270,064,864,082,655,098,779,107,034,773,233,542,481,097,
627,766,318,362,916,025,544,350,556,740,097,167,540,773,213,414,881,190,147,
132,821,952,535,909,116,715,525,321,845,741,187,951,156,453,652,274,432,638,
176,926,690,646,528,634,332,833,400,430,957,993,879,551,131,456,373,679,596,
227,967,428,969,441,493,690,031,026,984,207,708,033,328,878,508,835,685,955,
551,409,772,102,946,863,555,898,143,216,539,809,521,050,661,215,578,110,328,
437,048,361,138,685,295,983,114,993,085,847,490,493,971,410,200,461,468,786,
925,767,826,934,727,183,248,973,360,837,501,238,430,907,842,222,901,440,738,
962,776,912,898,010,104,635,006,523,965,125,621,412,570,116,619,744,314,407,
319,235,574,208,485,064,614,114,470,931,728,769,858,964,713,167,729,180,076,
972,736,981,514,186,668,843,492,575,453,399,587,314,346,496,559,333,325,113,
324,891,615,948,124,695,508,477,939,533,346,014,161,929,002,205,974,575,797,
327,420,287,073,892,117,759,915,269,625,030,425,165,748,722,200,366,118,870,
761,552,129,249,062,629,306,766,492,287,749,922,572,020,001,987,836,077,084,
523,295,985,799,341,507,873,501,989,184,832,119,578,216,790,338,805,234,581,
945,891,009,099,316,662,466,109,341,201,252,859,380,514,356,123,636,153,223,
189,231,517,513,098,087,153,863,635,190,455,616,674,844,786,863,487,552,316,
143,145,648,665,379,728,445,999,462,468,409,873,481,007,176,165,243,851,797,
316,347,125,474,147,229,036,191,302,125,364,487,182,188,514,888,971,111,737,
590,588,253,746,980,111,289,822,450,725,797,647,637,203,383,122,055,253,415,
004,391,522,851,785,041,484,507,213,993,022,967,542,787,970,046,524,679,144,
253,423,435,080,701,141,291,515,174,292,023,444,355,652,278,932,174,221,856,
078,287,105,381,366,708,113,050,986,466,339,657,489,883,831,732,721,105,327,
452,838,521,360,702,207,054,139,247,694,530,323,333,466,808,458,976,157,516,
790,001,208,035,035,381,070,696,967,032,178,729,737,166,134,362,810,889,725,
912,705,276,633,740,300,697,548,018,934,401,549,485,984,320,490,253,091,494,
009,402,793,735,699,446,431,139,780,548,764,542,299,422,640,709,869,523,362,
358,959,930,660,668,810,145,885,161,579,306,713,941,122,021,627,600,714,902,
799,321,333,952,518,864,248,863,276,129,410,989,798,931,805,557,772,394,394,
723,280,077,951,101,665,422,830,195,963,952,366,578,516,901,260,922,450,429,
359,495,966,888,956,961,835,609,259,896,909,049,204,765,655,910,296,274,450,
619,447,037,887,889,172,308,531,203,914,075,736,117,973,741,915,062,957,520,
287,179,972,193,548,862,631,884,187,403,897,077,871,304,741,684,225,749,270,
151,991,692,538,340,999,244,227,819,860,409,798,257,373,105,853,153,568,468,
579,762,087,537,321,404,605,516,239,147,591,364,956,644,509,871,905,496,914,
196,853,352,061,086,387,005,077,029,176,731,434,354,852,892,528,033,745,754,
263,702,212,708,156,949,524,306,335,444,604,519,125,718,691,661,604,136,001,
038,389,855,625,252,600,853,402,363,696,416,019,075,461,240,568,259,880,190,
554,653,939,947,937,937,313,857,009,716,276,881,019,352,245,154,831,593,066,
286,705,726,883,240,392,687,606,824,036,839,320,442,486,916,689,296,715,715,
512,337,434,610,849,011,341,067,428,335,051,115,318,983,113,069,806,434,912,
657,343,489,513,506,038,963,751,078,793,088,377,775,176,016,762,659,697,471,
161,332,945,596,832,171,222,514,521,097,190,390,868,121,241,073,180,243,392,
442,407,383,174,766,728,829,036,003,992,164,003,860,695,301,116,113,247,265,
241,766,531,807,478,369,384,120,683,016,060,400,075,491,924,549,888,085,359,
015,746,417,927,453,665,310,809,762,031,760,168,114,614,866,453,931,155,989,
370,192,069,880,766,978,461,855,457,853,933,396,465,997,219,079,611,060,071,
075,967,301,916,476,328,359,558,813,142,240,684,361,846,588,757,732,433,928,
925,574,116,366,236,960,074,222,231,755,393,851,254,048,224,685,296,410,110,
192,502,263,301,671,921,986,541,146,455,724,969,549,823,219,792,316,300,792,
197,661,419,382,936,830,154,598,793,976,476,420,900,865,576,638,826,808,658,
626,063,496,357,241,935,811,564,433,699,943,381,110,111,704,315,877,411,066,
711,209,068,103,645,158,605,561,158,347,991,698,964,837,427,527,343,487,885,
998,176,435,993,297,889,085,255,635,627,319,501,693,918,698,546,335,818,164,
586,360,464,279,296,545,043,085,121,428,449,400,575,938,922,608,999,628,882,
945,978,378,563,507,768,196,236,973,505,513,114,236,395,709,783,075,830,990,
058,334,506,147,087,920,902,303,799,505,412,761,870,042,818,596,194,611,166,
538,042,285,765,022,941,202,414,395,551,696,586,895,958,598,745,092,612,020,
969,224,853,923,310,300,659,846,040,886,155,607,773,567,165,419,372,070,463,
035,358,660,402,890,528,569,370,046,806,078,872,679,767,554,038,742,823,222,
207,925,912,702,464,511,810,461,839,889,808,403,910,296,080,738,087,244,742,
654,283,012,378,706,232,343,432,452,046,641,709,041,648,945,454,735,091,286,
406,393,686,856,828,055,412,796,946,816,057,139,721,040,872,143,835,765,537,
713,539,499,506,842,870,610,408,406,362,063,976,556,832,145,691,741,755,469,
920,356,185,297,312,522,244,374,054,551,726,210,260,672,520,144,338,154,033,
219,396,217,765,166,453,425,824,839,869,020,497,479,624,598,200,013,931,044,
476,144,822,548,390,258,073,646,039,762,674,161,302,322,710,630,682,155,806,
363,095,764,903,418,987,166,241,973,897,533,710,139,590,464,636,409,026,993,
385,442,788,827,440,480,834,791,100,010,860,771,710,185,626,068,367,491,036,
104,796,017,468,020,822,449,688,261,743,806,368,981,074,668,779,601,697,333,
129,372,601,846,972,263,578,532,039,882,488,493,352,654,665,230,459,749,186,
486,183,858,170,846,894,555,241,361,087,679,387,043,679,996,205,013,265,095,
483,195,297,523,935,545,774,511,822,618,352,122,199,066,525,100,115,274,424,
513,741,829,444,810,085,493,050,896,757,394,856,875,738,397,641,884,635,281,
145,629,615,657,175,147,135,919,644,634,261,184,853,607,954,449,629,083,457,
822,097,038,665,524,159,630,217,860,361,127,285,319,905,640,911,282,068,798,
350,909,462,925,731,541,416,828,058,984,448,699,722,020,658,024,754,541,249,
136,229,574,495,491,194,780,042,161,885,493,128,677,921,410,805,179,674,942,
989,483,194,121,502,345,912,543,175,660,327,031,983,428,958,678,019,574,032,
248,946,204,290,969,448,002,119,232,096,222,100,279,801,373,753,960,649,480,
838,218,074,810,329,531,239,499,969,992,076,137,439,590,787,854,689,481,895,
984,269,486,314,948,003,223,245,764,350,163,390,626,337,947,893,309,918,730,
406,779,470,401,251,417,738,142,916,904,295,883,603,396,748,276,039,251,646,
326,213,370,133,860,010,143,688,841,389,231,463,908,762,714,522,163,663,938,
181,913,432,430,371,027,978,243,384,326,045,843,449,542,105,106,174,815,267,
165,857,152,657,190,963,048,455,795,209,578,146,290,574,784,842,964,426,153,
970,498,548,329,685,175,592,261,521,941,878,224,492,137,545,966,629,135,957,
132,657,792,895,236,803,030,209,248,478,681,594,610,050,628,715,281,583,661,
428,202,045,427,194,699,707,870,484,262,217,772,803,881,475,003,514,049,684,
197,150,544,968,409,086,150,863,885,657,409,082,525,801,030,596,146,446,237,
074,195,386,814,582,745,149,697,603,975,547,335,145,897,060,765,363,800,418,
952,629,842,361,886,220,380,751,562,748,841,036,680,965,761,082,548,706,550,
382,553,472,467,149,919,371,280,761,302,096,032,402,301,132,648,793,970,059,
189,240,274,720,362,845,816,173,805,728,200,167,823,688,663,157,357,704,807,
097,390,880,498,735,074,483,361,241,588,602,109,339,951,951,596,126,808,194,
849,258,947,056,500,980,110,066,084,195,287,900,131,896,782,128,641,388,976,
624,590,007,507,713,911,013,994,569,935,516,593,518,230,017,594,385,832,710,
038,677,102,322,573,586,873,861,469,425,952,695,291,591,042,767,987,440,341,
910,029,620,975,135,921,606,431,293,068,223,419,381,703,194,664,524,883,980,
519,533,542,254,405,191,083,414,667,900,172,553,862,701,084,491,050,870,795,
435,565,338,025,328,163,235,290,959,122,044,505,429,801,859,538,372,556,600,
448,558,598,107,350,235,161,067,413,654,865,769,305,181,267,924,607,423,316,
087,504,116,922,011,247,971,484,644,044,914,452,025,143,903,344,494,482,040,
187,074,251,863,785,392,950,420,658,451,867,734,733,691,595,831,015,635,852,
967,540,572,981,476,730,128,380,342,892,320,417,388,835,589,780,186,714,975,
280,868,765,195,945,883,131,348,025,006,357,401,333,258,728,471,386,009,840,
523,778,480,085,660,921,895,592,467,360,838,174,448,550,789,277,940,664,419,
026,854,877,153,887,054,920,088,396,355,806,816,229,759,805,212,710,828,787,
168,651,324,745,051,301,963,234,579,276,719,026,508,391,422,945,030,112,632,
918,861,186,041,932,874,128,221,751,284,333,818,715,429,472,017,765,386,254,
905,327,215,581,889,580,917,905,143,249,454,744,970,434,815,104,849,741,275,
024,017,586,623,595,731,632,207,661,047,229,440,946,885,683,985,664,281,214,
611,964,499,730,066,259,220,741,288,751,925,577,108,560,688,864,412,104,001,
800,022,322,140,514,437,058,671,754,548,773,098,637,915,458,945,028,030,470,
585,388,261,059,649,189,475,431,521,902,828,357,402,880,764,208,189,088,963,
687,108,548,675,449,032,569,597,758,119,078,546,141,134,815,681,636,068,367,
587,361,006,042,929,408,862,899,318,695,039,900,228,618,999,273,774,406,730,
501,636,298,703,791,922,443,235,402,167,782,910,556,685,514,242,524,532,431,
296,728,610,210,666,124,887,673,023,573,875,968,744,716,305,129,890,122,363,
012,651,876,550,592,301,735,010,656,204,169,164,363,687,628,449,155,932,386,
892,465,836,219,783,135,147,941,220,557,565,621,376,755,349,382,417,416,928,
327,391,224,894,521,593,568,013,920,412,109,304,811,918,188,848,063,742,457,
178,629,569,039,662,428,398,583,168,265,283,558,333,466,509,901,859,583,691,
687,834,853,972,278,037,725,523,815,589,791,432,574,371,929,885,691,336,677,
681,159,206,441,220,230,593,762,301,551,529,592,616,099,716,402,961,444,193,
089,234,202,599,350,709,169,586,863,594,143,683,396,626,419,239,713,809,497,
834,806,239,807,454,686,335,755,150,678,918,672,091,522,824,319,847,085,667,
081,522,343,972,516,964,844,065,263,864,347,547,811,642,778,239,669,440,337,
447,148,682,128,613,200,114,236,875,433,938,022,017,369,985,500,113,475,455,
821,120,062,227,807,384,324,745,945,092,032,099,261,579,046,259,298,776,549,
820,938,430,022,365,318,207,635,193,037,179,476,778,474,394,752,656,504,326,
566,569,779,855,460,335,329,949,717,611,296,833,195,048,280,083,689,685,380,
337,440,629,715,601,056,943,836,393,573,485,279,494,283,532,462,738,045,460,
496,413,689,284,221,975,813,084,674,484,028,002,685,538,983,922,558,820,081,
717,810,594,617,827,495,029,176,697,361,147,377,800,423,669,320,454,333,033,
764,062,689,948,867,647,890,416,820,278,367,548,434,855,231,587,250,143,326,
680,837,297,426,239,853,869,692,752,028,299,308,107,228,249,558,912,736,138,
320,002,294,621,084,127,739,624,904,875,336,711,407,968,209,464,905,522,978,
584,401,974,778,125,727,892,843,085,578,963,303,835,379,343,272,278,086,351,
574,773,016,185,242,997,725,600,848,144,467,152,300,719,623,202,881,049,523,
805,160,537,401,542,784,303,386,382,291,713,102,148,194,989,542,991,323,344,
235,550,947,363,464,650,048,305,417,306,404,176,934,821,701,756,688,674,149,
229,590,359,540,711,694,572,738,585,084,646,477,982,904,699,163,647,141,230,
457,025,092,499,758,623,954,735,243,047,868,024,422,762,268,326,027,021,187,
952,328,546,978,603,688,876,469,765,820,235,883,527,855,803,576,758,815,275,
020,738,160,593,435,973,689,889,183,178,821,985,328,615,264,640,243,170,848,
369,965,910,675,196,741,193,925,542,039,082,906,666,650,952,977,920,323,189,
920,041,002,267,660,481,296,876,765,697,214,937,935,665,751,313,508,031,699,
759,362,574,145,040,537,667,224,689,306,744,626,601,760,928,696,497,204,526,
567,202,756,960,364,102,051,505,047,158,763,195,649,932,426,512,121,229,775,
832,663,944,087,648,073,553,547,580,065,365,046,850,022,333,471,627,348,761,
803,441,164,068,916,206,471,338,577,821,092,478,890,137,282,632,418,066,212,
940,534,873,052,978,740,125,316,253,968,352,878,725,762,793,263,413,992,306,
354,226,971,809,689,413,067,166,136,979,122,639,107,868,897,707,571,198,004,
156,683,830,009,332,937,801,919,516,783,410,382,552,763,513,891,084,766,344,
746,923,352,892,781,347,566,820,161,412,351,922,218,790,640,809,390,650,547,
215,872,608,368,018,564,785,119,898,214,084,122,347,265,256,331,772,723,930,
958,041,987,389,844,265,106,268,552,883,345,824,166,323,626,050,373,553,564,
852,290,771,117,900,288,471,177,406,644,951,726,701,720,175,899,258,974,500,
001,276,846,909,373,325,259,135,073,932,105,573,821,906,184,347,191,213,258,
226,729,171,246,272,471,823,480,084,023,249,649,128,932,464,348,268,710,853,
790,822,280,602,842,743,313,969,226,526,393,843,808,780,223,345,332,487,806,
033,352,801,774,683,899,002,329,526,421,379,730,268,475,581,637,721,974,573,
795,048,913,787,963,839,726,612,692,775,830,554,879,746,909,187,440,604,866,
870,266,024,671,947,076,395,605,384,447,484,904,310,444,709,218,722,134,038,
378,883,557,969,059,455,738,399,319,383,459,637,956,066,437,320,936,487,190,
828,993,757,065,397,417,183,896,005,703,630,920,695,744,490,898,975,961,537,
034,282,462,348,449,109,028,784,994,499,600,215,577,174,946,092,114,370,118,
380,866,186,419,781,311,110,259,754,279,131,452,311,082,824,379,753,857,172,
064,261,063,723,673,884,222,668,937,102,260,826,262,272,890,331,760,281,882,
698,784,460,396,130,185,629,976,508,835,055,615,561,211,989,125,053,078,786,
210,406,075,702,869,786,867,299,551,106,730,911,043,274,176,235,932,243,833,
723,351,227,913,913,112,023,760,921,078,772,313,128,481,914,811,066,997,792,
836,453,259,361,905,451,928,604,328,869,936,493,591,709,680,125,761,638,728,
320,221,028,154,253,671,843,689,404,361,174,604,695,729,821,604,363,756,833,
964,249,825,091,076,174,592,136,578,156,339,075,621,079,498,473,556,225,821,
305,346,994,702,026,705,246,647,674,109,998,392,527,999,061,672,959,227,488,
876,528,945,593,411,828,430,063,167,390,564,319,766,467,260,853,304,548,139,
443,226,674,231,020,954,475,700,060,674,661,486,936,924,772,501,555,209,496,
181,368,192,627,626,217,072,378,286,281,172,883,824,067,590,231,501,877,521,
944,986,249,381,920,084,338,450,174,280,691,780,636,473,364,611,761,868,718,
579,839,463,924,240,479,296,406,176,280,584,039,321,998,250,680,533,411,435,
968,941,373,287,129,798,129,426,761,842,515,823,842,620,205,102,699,240,991,
842,416,836,955,152,693,755,942,915,220,564,873,286,828,679,459,136,900,938,
634,219,820,867,882,440,372,971,368,081,855,333,074,924,623,848,952,039,584,
188,227,572,595,313,224,179,553,611,309,789,677,546,603,935,309,349,453,016,
324,724,575,567,294,247,197,816,215,182,604,060,405,721,313,206,973,306,728,
913,410,187,881,108,595,661,800,537,819,451,252,952,527,710,810,689,806,110,
864,544,927,294,787,579,701,297,717,306,087,650,958,452,304,266,330,967,104,
511,509,837,474,467,045,602,003,564,930,543,185,195,132,213,981,460,445,306,
587,585,692,356,968,997,919,976,904,510,422,293,563,852,669,884,296,607,399,
380,781,188,374,903,743,281,983,047,137,340,560,646,003,802,031,913,971,043,
828,882,935,245,496,217,533,758,809,886,268,247,312,111,682,220,277,562,047,
397,186,356,688,427,046,807,656,064,805,671,095,793,766,646,306,815,861,026,
316,950,418,816,308,836,789,724,472,263,319,695,358,913,450,619,980,700,006,
480,730,528,029,955,051,223,728,398,065,614,449,529,911,956,770,418,408,112,
511,826,918,944,102,866,095,478,654,219,205,763,429,268,521,829,283,733,383,
027,679,158,139,245,564,326,484,513,947,180,749,442,863,091,784,631,867,551,
060,023,905,581,137,229,765,240,496,850,852,473,656,068,851,374,325,578,399,
584,252,149,725,566,935,411,822,343,622,368,246,943,696,751,296,112,725,440,
807,669,930,479,415,790,355,754,296,472,359,055,927,783,072,320,951,522,083,
856,560,480,917,595,732,074,824,828,743,919,040,143,304,175,473,168,064,119,
266,161,033,407,187,852,736,572,540,537,661,232,287,824,553,801,506,574,882,
256,083,169,681,977,706,877,323,491,458,001,629,258,166,223,828,055,138,248,
174,893,905,497,821,046,857,715,520,994,613,054,132,696,943,563,202,344,094,
643,143,475,333,991,164,314,698,020,253,013,019,286,085,656,315,921,425,381,
293,647,494,346,696,937,856,184,167,367,650,794,462,541,284,921,867,944,140,
409,638,020,865,352,373,005,322,050,211,392,073,730,533,945,553,494,086,475,
375,046,913,264,213,655,914,082,490,172,195,071,506,266,160,398,155,269,808,
835,378,612,425,596,955,025,956,537,579,024,290,162,844,990,353,267,228,896,
637,996,572,385,231,247,643,486,727,262,386,428,365,109,303,172,063,422,378,
619,913,901,505,973,968,956,939,320,750,774,966,124,260,922,954,467,970,402,
798,540,006,225,427,135,197,811,450,039,717,997,177,584,814,010,597,621,718,
966,374,670,935,569,370,440,069,383,269,991,554,495,870,293,628,291,351,263,
980,105,228,435,958,870,183,978,691,442,285,245,892,143,167,567,023,961,034,
803,256,253,105,100,018,222,231,512,964,967,217,084,795,946,365,750,580,532,
879,423,114,143,937,034,743,360,196,091,166,346,386,526,962,046,417,524,278,
660,400,246,393,631,598,942,943,764,081,489,762,957,084,934,927,173,083,030,
393,714,264,336,479,071,154,643,210,072,839,316,300,490,777,407,724,812,278,
091,772,183,512,633,245,789,355,430,838,633,605,424,883,827,149,681,390,597,
333,999,007,248,888,392,704,469,264,635,098,066,709,363,686,176,907,833,652,
022,269,131,993,669,230,765,736,070,784,880,687,391,236,851,707,540,673,248,
283,740,745,456,139,429,044,154,171,832,996,347,858,014,792,075,951,632,325,
446,870,429,707,677,910,306,642,794,650,305,442,122,838,853,243,281,724,434,
454,772,608,926,061,132,613,245,049,119,951,269,011,508,150,462,654,446,911,
708,311,287,676,769,704,446,123,440,142,311,896,295,999,884,939,200,702,355,
129,158,628,948,184,472,055,657,117,590,181,622,387,056,396,597,568,988,957,
082,728,055,477,121,103,321,142,777,875,288,641,840,646,387,471,240,522,535,
640,004,602,336,260,374,897,219,650,761,716,821,949,998,443,216,604,198,869,
273,966,214,990,619,598,386,178,519,634,121,972,830,767,452,893,565,390,916,
514,753,633,137,891,302,100,260,363,747,583,894,200,692,212,783,823,244,476,
456,386,376,809,899,694,395,642,625,418,668,504,133,311,247,387,198,151,847,
997,336,435,396,261,722,561,123,564,315,129,112,103,954,411,896,482,242,783,
657,402,691,330,059,419,888,494,953,697,612,443,930,480,785,347,746,600,047,
777,717,611,844,517,637,875,481,352,333,382,152,590,214,429,555,909,146,354,
045,075,382,724,288,891,222,826,413,011,125,732,355,419,838,650,730,250,074,
023,401,653,733,096,336,806,426,368,015,672,547,621,347,954,589,526,362,800,
241,630,002,826,025,717,061,964,909,293,020,733,475,844,390,532,986,350,047,
660,675,760,851,173,869,902,172,429,890,902,575,363,864,732,019,054,731,759,
054,727,563,983,076,573,678,889,903,963,985,060,601,898,335,237,145,648,993,
818,779,987,683,949,930,974,418,754,109,816,867,698,880,180,572,664,032,919,
589,525,832,216,289,685,810,692,343,088,426,718,830,867,677,500,598,228,249,
283,330,196,632,268,241,704,358,231,823,956,461,771,998,223,349,046,337,296,
759,858,904,988,203,733,267,069,619,436,235,919,987,414,220,738,123,641,533,
404,440,114,943,468,594,846,921,349,577,217,659,227,383,576,647,845,060,488,
219,165,349,812,505,149,470,799,314,928,620,262,948,868,041,955,038,782,767,
736,734,676,996,483,056,964,727,497,328,627,932,538,031,465,393,950,952,392,
302,186,901,047,559,109,502,257,324,343,053,167,439,987,258,213,028,743,900,
670,778,961,981,555,431,173,449,027,902,084,919,899,881,575,984,360,545,000,
318,879,787,393,337,457,417,717,621,184,389,299,475,978,853,093,908,115,195,
145,922,039,740,618,544,527,262,164,200,206,597,338,842,373,870,938,509,313,
291,106,924,770,536,223,102,330,995,506,181,187,644,114,398,559,105,416,260,
942,876,448,155,926,464,127,287,558,559,178,091,402,131,089,718,320,528,472,
868,162,138,588,342,638,134,746,161,916,266,575,855,941,801,558,853,081,994,
074,166,114,241,033,872,342,953,409,799,128,581,019,142,832,071,396,850,196,
272,004,843,979,524,894,823,169,304,442,800,911,879,628,300,004,801,962,742,
084,218,876,132,266,118,723,574,681,578,622,300,459,991,442,031,205,553,899,
894,016,577,209,693,335,344,536,597,268,560,829,075,422,297,396,727,093,702,
105,828,633,760,816,947,990,232,623,053,848,711,176,352,575,387,100,155,686,
512,232,448,253,274,580,947,864,665,113,279,434,078,598,978,559,310,734,796,
741,325,949,259,641,547,589,153,179,926,963,692,128,213,507,297,638,478,049,
585,822,101,375,233,722,478,596,422,430,244,386,281,614,478,992,632,855,519,
182,671,076,773,488,494,111,119,971,955,876,915,137,195,676,656,885,716,922,
430,349,338,540,849,248,157,952,337,038,564,732,802,234,950,166,952,755,316,
893,534,615,517,748,049,995,219,196,332,928,383,610,582,869,108,778,433,646,
229,930,419,163,616,502,100,224,905,184,217,252,171,023,888,690,178,727,583,
241,164,551,446,245,113,218,730,287,155,293,432,196,779,829,888,565,405,400,
670,786,346,210,555,513,872,575,186,924,915,765,620,930,431,394,095,189,990,
716,419,092,433,922,258,937,921,064,287,234,047,892,328,979,658,297,211,382,
390,983,382,153,898,579,130,694,094,692,928,295,241,425,984,632,878,329,598,
810,367,130,752,697,515,254,805,024,291,998,453,208,580,373,254,307,986,037,
239,963,893,814,188,282,709,522,048,794,920,818,404,510,833,932,098,827,525,
958,933,650,592,487,753,511,312,804,932,270,795,447,496,532,349,137,117,642,
952,917,976,682,528,078,318,024,211,882,642,137,282,884,475,715,059,699,752,
390,376,042,857,059,022,913,996,684,840,795,053,745,680,310,764,229,079,282,
115,438,019,891,971,526,265,939,566,243,337,628,345,357,469,154,972,082,279,
552,344,637,682,115,674,965,101,130,014,021,887,119,002,371,994,399,102,357,
383,360,473,774,839,062,737,359,185,915,195,620,003,311,901,811,658,559,848,
671,666,791,581,476,448,522,829,166,097,157,271,336,127,080,704,712,629,894,
866,801,084,278,770,344,477,534,354,734,838,577,091,221,513,657,421,679,010,
911,591,009,423,433,935,020,572,907,967,883,649,087,269,737,642,587,697,035,
275,874,471,446,177,740,527,158,665,147,573,424,102,449,240,580,299,745,776,
754,616,986,136,212,642,600,926,488,636,172,782,407,379,072,049,799,624,577,
476,820,929,553,759,779,764,931,764,841,152,560,600,545,665,284,415,475,625,
173,193,223,599,814,904,294,131,199,530,945,629,419,567,314,248,219,507,769,
166,016,319,377,692,054,576,571,352,071,586,332,992,901,220,560,415,570,304,
549,571,597,704,438,358,160,258,163,973,604,004,939,630,559,005,069,563,759,
757,900,558,941,914,312,723,948,699,652,181,019,256,512,808,919,232,844,978,
440,308,676,197,476,005,643,229,902,133,346,700,478,807,687,360,259,659,213,
708,455,738,029,635,967,259,640,964,620,817,606,414,857,167,972,302,405,278,
177,373,879,648,933,737,057,499,974,093,069,490,400,005,999,724,627,064,807,
551,825,352,971,043,437,722,583,435,440,117,256,899,739,943,304,020,787,085,
704,654,094,893,873,634,194,128,704,857,932,748,789,600,443,932,412,194,466,
989,773,590,343,474,078,795,786,998,437,111,177,119,193,332,947,940,950,676,
187,948,237,599,867,084,890,853,050,170,809,149,116,693,410,985,564,575,484,
477,091,048,109,604,111,771,542,449,145,310,644,541,432,491,362,298,068,601,
017,612,333,937,924,005,986,360,975,855,984,585,509,598,789,818,647,560,442,
469,534,907,253,316,576,556,811,068,518,730,512,262,224,432,191,689,752,295,
598,565,926,217,581,709,346,113,728,792,227,671,731,487,789,543,042,528,294,
992,603,919,696,939,768,319,649,260,110,436,043,527,619,177,554,772,710,569,
669,958,146,124,350,550,753,542,528,072,041,947,486,133,276,283,931,115,956,
974,122,705,177,328,866,608,241,670,395,707,682,992,729,362,814,700,749,779,
701,921,521,917,041,384,160,781,990,205,270,253,704,304,764,116,635,888,977,
683,287,459,270,051,590,336,923,749,039,480,442,865,241,698,194,627,363,529,
385,172,285,843,515,098,854,423,851,445,048,228,201,962,813,378,009,272,587,
000,896,862,510,395,390,318,047,922,072,663,243,608,249,934,921,043,646,813,
927,418,041,132,697,848,510,705,179,892,790,323,971,590,950,495,166,786,096,
423,085,532,541,424,018,828,894,680,880,472,285,645,150,394,006,370,864,012,
756,218,889,159,448,240,709,732,374,614,666,393,097,412,588,739,802,418,395,
301,710,148,491,777,376,504,228,117,410,672,884,888,864,566,024,783,469,688,
371,368,184,457,660,691,225,080,210,001,109,170,682,733,593,077,648,621,204,
984,709,715,506,798,773,461,802,060,030,408,250,763,342,949,165,525,404,509,
571,916,709,428,559,526,212,877,307,496,879,090,664,397,018,152,086,760,717,
591,008,289,132,177,783,861,972,379,476,053,594,879,305,374,491,298,528,717,
813,714,175,118,168,709,062,048,941,003,623,262,070,754,358,482,207,572,712,
686,923,396,824,270,310,825,813,094,503,342,260,261,134,963,382,023,571,908,
064,286,406,443,091,038,806,123,765,208,233,070,732,021,985,170,260,990,416,
481,938,598,795,655,027,679,290,409,737,973,049,863,400,318,875,562,882,425,
487,617,930,488,464,715,624,435,796,182,464,161,533,066,749,747,978,612,314,
535,772,089,330,240,293,782,735,025,379,767,553,390,336,562,598,343,005,831,
854,271,233,436,787,322,376,121,847,971,953,436,168,295,453,200,493,238,126,
255,730,750,950,830,851,541,966,714,818,465,619,057,389,994,463,599,984,068,
344,434,106,017,604,122,410,586,218,212,599,122,423,422,021,228,769,543,984,
997,028,184,515,720,923,612,160,255,745,914,337,140,592,010,250,335,584,151,
271,143,193,131,814,680,073,336,319,389,836,312,676,509,555,602,675,321,288,
130,790,286,981,900,236,279,301,264,364,013,290,330,044,382,069,547,853,987,
267,898,656,280,500,044,556,487,485,962,613,146,784,012,371,824,251,058,997,
475,409,451,012,797,845,544,859,926,963,605,117,289,699,798,684,170,864,010,
636,666,598,294,283,032,022,650,353,062,691,723,521,677,524,531,971,770,698,
060,092,056,096,556,571,625,855,291,314,850,076,789,936,096,637,689,976,723,
535,803,960,038,583,219,685,791,004,260,761,820,079,344,342,990,978,706,121,
313,939,325,018,917,545,769,166,012,024,411,028,142,032,741,355,386,304,380,
277,147,651,758,148,396,326,645,501,864,214,437,830,057,091,385,414,806,769,
192,021,971,583,074,093,031,228,728,902,302,395,712,995,746,956,228,372,604,
762,251,443,114,705,137,807,534,824,094,694,196,258,506,000,254,130,618,314,
620,626,217,727,464,611,165,059,431,199,416,352,563,294,649,366,245,183,964,
917,611,635,589,682,670,663,861,862,663,966,782,067,464,988,712,126,432,204,
387,331,774,831,422,334,985,253,361,148,802,181,489,100,566,648,340,069,407,
428,983,737,573,159,652,735,966,166,112,272,462,694,252,477,561,925,760,973,
081,884,266,015,508,309,501,600,927,676,629,278,915,951,392,731,699,604,490,
014,282,291,718,580,330,929,441,310,461,515,112,398,464,537,334,366,004,372,
480,049,842,790,913,085,081,887,796,534,855,453,201,256,734,436,017,155,345,
535,584,892,369,806,079,740,141,105,793,982,337,695,887,613,824,228,597,707,
783,138,614,016,326,076,246,224,971,702,741,972,999,761,975,094,432,453,274,
606,205,426,708,749,540,151,612,346,921,843,973,931,242,851,461,211,372,801,
889,389,035,652,888,041,175,579,311,189,599,324,722,628,654,168,920,489,758,
905,437,323,826,561,437,250,630,393,589,183,364,822,725,564,070,067,498,527,
111,997,986,382,068,529,420,444,692,659,861,176,096,631,797,035,796,397,520,
410,281,204,175,611,370,551,216,671,766,606,680,369,050,149,763,407,281,379,
510,888,269,544,534,842,512,899,311,062,703,986,385,817,308,080,146,432,689,
622,629,028,504,962,970,139,770,483,999,160,912,067,065,420,195,993,879,558,
281,927,380,229,426,877,738,461,359,558,251,215,639,599,097,797,549,391,065,
956,248,081,155,370,895,500,598,966,043,556,520,669,139,092,883,961,454,308,
373,761,457,911,103,256,897,677,945,247,778,415,879,168,455,958,947,738,951,
094,185,753,825,199,284,744,008,462,768,604,560,925,728,521,180,769,289,155,
441,002,477,262,570,661,474,413,281,165,983,740,444,184,592,845,713,702,459,
114,437,193,470,444,360,059,944,407,531,876,680,855,171,536,022,587,875,126,
838,731,540,757,170,789,475,377,286,125,530,304,627,823,380,414,963,660,736,
476,571,616,838,090,284,281,956,431,658,410,870,447,003,957,581,095,767,405,
282,698,715,637,966,183,348,229,843,586,731,160,243,258,897,192,991,030,304,
905,734,487,610,101,472,328,848,828,853,587,552,761,366,789,416,566,793,760,
814,255,573,893,781,603,153,247,990,356,247,568,721,634,243,736,173,187,549,
309,240,357,675,297,155,578,255,757,726,578,401,667,960,941,178,438,905,268,
605,759,242,703,062,812,140,777,266,791,426,912,979,574,711,629,391,116,762,
225,139,742,487,909,865,581,075,452,322,473,002,737,139,316,217,661,176,746,
308,886,632,126,490,841,475,118,182,675,137,156,850,943,040,335,647,350,258,
238,615,346,024,988,028,468,812,849,451,515,056,576,622,330,551,605,867,721,
303,853,000,766,380,299,430,090,583,598,745,365,994,390,562,615,327,780,664,
028,626,511,572,754,812,015,865,069,978,633,092,988,527,296,862,113,756,523,
388,101,757,903,189,989,843,098,989,567,997,395,091,989,221,868,646,576,320,
136,202,021,141,505,489,256,793,980,654,691,216,803,732,912,809,414,077,519,
844,600,486,843,196,509,467,841,856,844,468,243,533,099,857,986,768,368,254,
207,057,522,605,908,217,179,543,788,387,063,237,401,994,909,458,213,087,048,
862,773,566,101,667,565,686,853,213,606,989,080,330,114,296,061,377,584,893,
946,595,677,490,887,382,194,788,533,387,056,748,133,513,736,000,519,258,089,
913,699,893,813,973,842,636,224,963,300,944,600,953,639,618,205,073,858,194,
987,927,520,132,390,539,084,959,245,101,576,892,879,929,367,551,306,036,839,
640,256,306,720,865,852,406,775,653,747,729,558,048,562,596,720,737,519,240,
490,538,872,282,134,160,036,924,134,666,513,086,419,180,597,516,256,267,697,
360,284,242,946,907,772,303,849,816,480,543,683,232,682,377,957,108,051,876,
675,700,068,910,495,171,247,403,192,012,801,202,653,230,214,545,717,733,254,
514,532,549,157,023,298,291,211,179,093,378,535,694,931,728,986,032,527,357,
665,655,063,578,414,425,828,781,398,933,822,837,898,622,182,583,400,643,750,
746,222,723,092,239,084,037,426,995,253,551,629,589,296,213,986,496,572,225,
586,230,819,996,794,452,183,976,352,785,749,192,850,252,815,307,989,513,970,
589,100,098,142,622,365,531,394,231,231,269,959,549,729,239,911,519,000,346,
093,290,885,737,092,818,993,316,614,862,965,555,020,227,454,222,422,920,627,
790,782,309,364,122,963,795,458,349,500,422,336,472,054,155,871,992,604,021,
413,693,965,452,199,387,458,369,797,222,981,094,260,915,657,046,142,139,769,
272,653,597,115,998,248,353,778,023,069,174,722,082,614,032,844,414,256,597,
008,999,289,011,327,031,653,302,249,159,825,391,379,062,030,433,109,945,414,
026,538,589,495,650,489,648,385,892,239,337,293,207,670,582,814,170,379,253,
199,001,542,179,840,370,065,716,401,150,468,432,701,885,675,296,712,278,018,
958,245,964,905,905,754,212,742,334,372,904,972,147,608,675,515,448,023,575,
934,097,239,125,478,500,441,533,298,311,052,389,173,371,025,010,332,725,588,
460,316,129,098,852,233,232,175,403,393,331,615,828,637,605,148,103,325,061,
985,213,011,352,624,476,106,423,765,219,680,339,103,402,838,764,971,547,788,
446,595,258,639,862,221,856,784,859,013,824,327,649,782,421,593,184,915,282,
319,468,427,860,347,890,806,771,882,534,858,658,951,577,105,885,968,401,082,
473,578,840,448,583,962,358,321,946,562,443,739,933,604,906,226,772,857,196,
728,972,705,547,192,889,899,045,283,698,038,293,544,976,219,271,233,009,080,
941,735,189,798,351,754,276,686,042,240,278,325,315,815,452,504,172,031,103,
233,661,343,347,875,430,285,476,595,350,716,070,855,628,615,455,864,413,939,
361,737,176,092,416,539,280,901,353,808,023,473,393,883,082,775,890,942,462,
323,901,740,056,669,167,957,220,694,931,038,543,381,220,956,488,537,781,569,
512,328,796,342,887,638,943,863,942,005,833,112,848,811,658,465,502,825,346,
101,250,599,997,549,465,881,663,787,491,274,555,371,829,533,663,082,201,141,
942,580,215,578,750,657,791,043,899,132,322,993,506,458,764,263,131,726,615,
770,838,813,654,168,119,872,958,279,775,785,942,950,497,730,191,239,319,846,
897,882,329,061,329,621,647,698,769,017,785,265,050,825,359,176,018,235,594,
174,348,181,055,159,216,630,266,537,516,345,235,623,456,079,451,779,261,886,
723,155,296,552,475,705,178,341,079,280,235,991,712,185,652,000,216,404,722,
266,031,840,158,872,615,840,149,222,958,951,294,507,427,259,925,094,433,630,
630,699,379,922,118,451,645,445,785,309,583,724,645,877,700,971,986,357,892,
352,911,147,847,525,842,209,330,300,032,324,693,394,843,050,724,079,225,600,
549,863,064,206,369,712,572,778,946,477,568,206,303,429,844,169,757,793,821,
812,284,785,432,330,177,873,415,172,179,983,380,119,506,818,219,870,607,774,
261,280,393,592,340,636,768,590,095,098,952,381,262,425,380,139,007,973,379,
352,433,433,138,155,161,847,824,115,883,366,608,378,635,165,941,717,625,013,
504,728,452,387,939,345,181,677,006,489,714,685,605,816,925,418,178,190,084,
426,197,133,438,325,268,294,651,019,409,020,055,034,533,642,971,602,739,867,
308,946,767,813,196,856,730,403,878,454,988,927,492,475,662,953,767,636,725,
595,692,317,605,147,569,614,786,603,381,234,220,640,713,550,685,720,809,866,
600,400,561,689,541,285,560,134,579,515,649,301,339,613,463,739,278,215,462,
652,476,660,841,142,663,321,163,788,122,024,537,097,758,002,120,565,240,819,
384,798,334,484,508,128,998,862,400,687,931,735,713,296,597,959,485,292,401,
419,622,522,230,070,782,641,805,577,233,082,643,673,588,414,339,180,632,986,
826,413,386,265,185,788,419,491,230,850,104,962,287,043,898,520,819,424,528,
119,456,135,691,446,526,986,961,163,616,830,676,605,693,580,807,624,973,265,
828,385,872,709,050,198,331,870,279,318,309,516,653,472,535,624,271,540,661,
605,668,341,574,543,505,179,726,527,155,776,893,146,126,450,019,702,951,733,
480,665,596,881,186,626,160,603,336,619,602,794,345,043,368,857,611,613,005,
270,366,610,497,433,529,518,389,506,186,919,258,325,826,862,856,443,874,521,
616,636,805,102,518,615,074,997,401,313,950,365,261,161,169,768,872,456,605,
522,760,882,791,599,937,213,260,007,150,476,815,286,934,724,661,466,856,350,
044,746,679,255,602,237,831,344,433,462,822,133,786,915,006,027,582,219,201,
868,003,431,645,867,878,771,257,021,954,563,747,058,765,644,038,062,880,034,
838,503,314,704,279,463,068,460,062,898,757,596,681,634,876,190,915,840,160,
691,543,911,477,543,448,378,103,274,915,258,770,490,761,698,962,055,096,756,
313,597,801,271,803,949,039,113,866,462,976,979,492,840,807,851,759,328,279,
479,587,783,733,877,169,137,816,647,137,070,280,277,409,045,929,196,968,109,
280,074,223,508,616,981,279,402,855,400,819,700,602,306,631,284,489,474,866,
834,840,364,741,632,149,552,506,487,045,503,715,541,810,907,307,638,773,419,
399,450,745,607,348,179,764,469,314,017,159,333,524,132,574,379,105,728,316,
459,947,036,003,279,228,919,277,998,490,901,615,089,211,824,999,542,065,409,
108,523,870,137,282,685,820,984,146,643,801,787,266,072,503,195,515,295,218,
113,316,966,228,632,972,935,269,273,834,076,253,962,994,795,965,344,558,594,
092,367,880,754,235,974,603,878,872,306,055,330,075,274,875,984,117,811,038,
801,542,081,053,332,479,404,627,966,857,553,000,655,813,022,201,813,742,512,
973,603,726,658,923,172,705,984,794,706,261,891,001,081,024,380,679,451,205,
136,488,270,579,918,386,248,782,489,422,196,637,390,402,679,846,453,408,409,
083,770,945,775,517,386,790,304,949,300,850,968,258,745,927,719,933,648,665,
009,129,101,051,586,551,109,772,579,247,760,573,680,954,519,618,350,312,520,
506,835,336,840,366,943,082,211,368,292,423,044,986,955,989,600,675,610,318,
113,700,904,138,505,100,328,400,205,324,738,710,775,538,696,233,148,860,369,
744,161,783,530,073,896,446,439,148,454,909,605,920,914,161,575,777,308,797,
744,978,812,706,189,134,198,505,356,183,123,268,786,338,611,923,006,594,292,
127,186,328,448,786,342,005,923,002,555,620,295,598,061,852,798,159,819,246,
587,300,432,030,228,121,721,563,580,942,251,716,378,185,642,244,584,767,149,
670,110,889,613,342,278,117,398,611,365,687,314,268,040,279,678,934,281,559,
218,803,793,519,226,679,434,202,746,202,718,949,598,522,668,560,048,348,163,
531,840,519,370,896,130,718,544,040,561,941,708,379,220,363,077,066,862,884,
680,781,628,762,636,148,264,803,948,973,221,333,445,936,635,941,517,562,501,
500,497,312,613,507,929,296,701,410,614,850,157,717,861,790,458,750,099,596,
843,117,465,196,947,552,386,532,242,274,242,083,296,282,531,268,752,953,788,
995,419,520,988,149,930,626,623,462,518,443,126,588,203,862,506,512,865,964,
296,502,744,319,816,379,076,163,188,957,570,716,062,395,952,026,629,871,396,
376,763,673,439,990,590,290,963,683,439,854,774,240,453,491,317,944,870,574,
778,215,905,466,493,827,060,540,552,912,675,281,835,914,795,488,813,912,529,
806,203,092,747,147,331,970,716,957,860,955,588,761,981,363,934,429,965,328,
894,869,112,265,836,074,325,130,054,760,859,610,644,317,609,110,698,280,210,
775,960,037,730,879,916,228,129,177,276,290,734,006,482,685,249,384,559,607,
120,999,383,195,892,746,651,871,967,562,759,081,900,333,592,851,277,310,177,
838,614,824,342,905,026,052,222,729,777,767,993,091,837,139,160,284,632,891,
301,211,954,857,571,599,226,483,767,369,145,148,733,536,188,306,771,125,096,
723,090,419,474,006,824,087,251,002,941,719,749,600,114,738,618,929,417,663,
800,574,815,228,918,272,267,522,833,379,348,691,978,703,923,601,002,478,173,
884,617,991,978,433,969,602,646,608,615,312,198,821,412,873,776,374,974,708,
947,141,192,087,894,470,240,462,559,261,556,355,129,660,820,351,739,150,808,
430,297,024,013,409,531,380,612,430,822,464,586,977,462,083,068,892,344,987,
521,228,901,308,525,757,063,643,169,262,306,673,128,859,248,501,491,960,781,
859,385,400,754,013,157,544,615,684,545,356,007,209,121,746,758,983,378,048,
812,009,356,112,964,196,658,356,458,049,425,215,267,405,330,710,841,617,767,
673,330,670,498,815,135,839,377,081,424,301,347,990,019,211,517,122,809,624,
208,794,552,157,696,219,420,358,495,279,618,377,850,264,887,283,310,249,648,
763,349,619,753,005,445,902,694,646,991,333,091,538,560,173,294,031,186,495,
746,618,509,962,763,360,455,737,235,662,867,540,334,812,474,074,156,517,823,
762,189,945,522,679,978,354,453,124,491,669,901,935,525,499,763,160,323,025,
224,344,581,635,278,286,327,748,911,828,907,359,731,426,491,136,756,264,105,
321,403,903,481,711,221,021,709,867,531,689,300,400,008,760,795,819,390,065,
779,847,623,604,349,883,413,730,294,199,975,552,275,617,783,191,251,254,345,
052,627,085,953,099,363,976,120,493,017,542,528,348,632,878,836,431,147,605,
962,461,380,207,617,926,989,776,151,625,476,577,097,197,602,168,264,989,348,
248,308,489,713,191,161,276,781,550,880,320,685,888,215,141,621,263,261,331,
379,336,671,158,993,871,480,936,602,603,307,243,333,579,334,015,080,861,518,
874,977,905,723,234,589,606,765,311,851,781,611,035,629,452,145,327,063,318,
417,258,377,535,224,971,147,437,858,742,507,880,374,960,850,927,250,730,519,
747,866,302,634,711,552,797,552,178,476,712,863,762,742,170,449,225,255,412,
588,301,404,178,942,826,570,263,935,377,674,519,870,809,438,996,470,128,002,
548,408,020,767,295,175,372,810,632,073,029,257,669,940,998,826,919,219,060,
052,037,811,160,012,664,348,366,999,889,052,231,588,702,442,284,389,537,712,
786,565,493,204,940,590,585,542,184,289,516,562,169,687,487,296,659,072,715,
320,248,956,014,910,803,769,356,341,482,441,012,155,401,282,795,965,147,848,
743,188,950,246,347,428,982,660,977,761,237,174,454,557,510,797,503,932,682,
909,137,275,997,319,897,574,672,610,621,854,688,109,835,475,561,281,231,269,
282,812,918,894,054,200,594,316,279,296,921,017,924,483,280,843,141,458,060,
940,139,058,997,636,900,477,407,854,905,520,585,558,015,747,750,808,715,606,
344,201,492,523,452,244,874,821,732,949,522,482,417,825,920,766,659,303,910,
989,234,894,325,303,678,798,440,546,158,331,117,088,348,804,059,176,670,213,
670,454,266,629,067,089,274,615,655,292,600,837,156,486,713,307,797,044,279,
893,228,567,279,954,449,422,486,426,784,787,037,497,033,632,248,476,262,392,
953,767,200,369,358,808,763,850,108,334,283,712,496,978,369,676,244,821,909,
155,020,450,580,552,294,290,517,171,779,164,134,922,073,229,727,017,651,802,
408,848,473,321,269,235,134,123,051,721,466,250,264,489,940,790,894,124,249,
370,280,080,570,889,335,785,166,145,578,567,525,499,938,416,515,772,082,001,
404,024,205,658,782,399,690,274,398,857,607,328,735,139,188,596,599,609,090,
902,146,867,628,405,809,139,065,871,045,334,816,100,910,140,219,175,235,380,
900,085,425,311,091,926,079,176,953,090,908,614,848,712,178,689,730,284,780,
539,406,367,349,151,139,900,384,248,586,398,739,904,961,863,081,791,235,730,
751,973,113,137,129,643,094,868,781,383,114,040,276,921,064,710,742,731,583,
752,323,580,765,906,074,332,470,431,912,315,790,679,438,358,825,511,549,269,
144,515,453,794,349,260,871,423,478,699,202,710,608,866,037,751,546,454,324,
713,410,161,966,784,731,962,558,697,851,668,743,474,827,414,835,593,843,608,
679,648,397,538,338,696,321,954,568,904,114,262,112,240,601,729,683,208,629,
783,639,315,867,577,935,828,271,210,684,805,659,673,278,381,066,665,844,792,
386,458,006,221,752,334,757,061,862,961,250,050,695,809,333,161,801,872,455,
573,703,759,451,926,984,069,014,851,542,403,657,534,819,423,489,242,920,743,
132,675,019,970,921,501,306,361,963,905,993,567,794,036,477,651,724,058,351,
907,057,213,770,067,212,954,317,072,931,602,200,622,040,386,113,794,079,602,
204,123,913,454,778,627,361,340,643,590,051,796,133,340,389,934,797,886,780,
084,779,283,406,822,390,414,493,202,614,800,932,108,946,148,918,063,700,942,
628,802,135,592,554,800,598,503,860,186,472,086,090,163,349,265,110,458,767,
910,958,513,066,642,193,185,068,193,238,818,666,138,283,221,017,241,922,774,
719,880,678,477,481,610,382,175,037,410,784,962,460,423,747,659,502,987,482,
910,339,783,035,343,449,350,157,491,799,979,483,416,618,445,714,522,758,484,
617,641,000,242,644,512,599,967,810,459,789,277,604,855,129,684,025,788,785,
506,770,429,699,980,385,271,180,643,448,946,365,125,779,595,365,803,917,900,
913,168,328,322,189,877,155,907,785,388,944,564,485,177,583,597,342,637,354,
397,958,197,835,901,214,039,945,353,251,506,943,889,977,136,277,787,117,192,
413,523,136,197,799,375,743,488,992,264,453,421,915,402,051,987,396,457,943,
488,135,605,296,565,061,772,009,054,703,249,332,502,063,065,948,718,743,590,
838,410,412,007,864,656,323,649,938,611,743,196,077,921,541,795,767,930,931,
325,240,166,949,969,892,930,200,653,845,267,710,708,003,300,429,405,487,952,
864,760,502,306,601,182,361,620,350,654,060,138,804,417,058,100,818,959,147,
020,952,664,703,746,260,531,276,643,096,975,560,394,856,838,970,696,407,307,
437,556,347,356,456,000,033,870,506,729,974,550,050,181,213,610,657,838,829,
463,131,909,889,004,333,206,063,138,500,924,267,097,024,809,429,883,835,085,
443,289,076,262,594,777,744,832,977,936,117,152,183,016,718,781,629,846,030,
659,311,529,385,827,018,396,627,472,826,528,786,332,437,508,859,798,695,526,
322,450,087,164,000,895,349,712,042,767,095,838,960,584,136,415,232,416,272,
067,013,277,572,667,712,082,127,326,146,175,934,115,727,524,131,248,568,002,
393,202,208,515,632,315,282,574,047,407,333,854,259,101,206,018,168,285,111,
874,063,989,472,721,166,705,875,962,613,909,333,526,073,581,329,750,125,800,
029,997,746,163,553,138,440,152,388,287,354,593,375,109,375,352,476,688,897,
355,252,513,706,829,581,133,919,259,395,118,920,585,417,019,096,612,335,102,
404,390,376,210,253,325,543,147,344,608,543,770,364,916,005,499,068,313,513,
300,553,557,099,284,972,627,688,583,515,176,046,965,800,990,294,950,255,163,
317,815,542,875,513,125,817,779,033,288,493,597,407,479,372,256,502,826,495,
718,892,490,735,206,946,465,611,058,848,515,820,930,344,049,833,450,242,779,
911,224,693,238,936,236,265,187,740,590,510,532,256,107,278,494,867,659,856,
854,343,961,215,343,738,148,256,333,736,531,539,583,004,121,310,936,354,589,
129,400,827,534,981,137,586,715,860,726,519,743,454,792,185,988,741,205,847,
134,684,485,456,903,431,990,413,398,992,541,531,985,161,478,313,881,671,195,
438,231,870,940,261,682,542,915,708,376,292,141,093,531,160,141,667,402,155,
977,700,225,191,779,697,005,171,973,846,931,797,036,348,558,460,835,070,902,
852,377,688,834,642,468,908,413,028,363,387,711,915,156,660,692,991,878,685,
259,231,991,281,475,193,406,753,817,549,951,465,129,702,568,607,887,771,641,
906,064,625,359,913,125,833,818,319,576,250,630,895,248,990,027,102,067,256,
605,356,652,495,223,635,090,291,291,179,736,420,633,943,829,026,759,294,487,
060,703,560,125,298,456,355,290,516,724,258,102,982,445,344,992,037,888,473,
100,480,307,780,480,264,300,031,116,856,241,954,405,418,928,794,377,155,970,
532,254,488,205,983,429,299,827,229,558,322,649,353,335,892,986,993,911,039,
118,802,022,766,552,370,727,893,562,824,908,204,163,265,031,575,029,509,886,
618,113,897,903,609,533,804,970,554,141,412,505,645,948,942,131,756,251,666,
026,533,795,832,767,478,532,171,344,529,789,850,965,782,936,681,268,222,608,
567,200,368,138,485,433,029,522,950,163,829,864,920,344,456,085,244,475,882,
919,963,592,094,854,506,320,748,194,691,943,853,889,268,865,140,647,101,636,
110,299,323,031,454,429,817,922,661,962,980,270,983,081,592,935,238,895,291,
518,607,363,211,944,650,062,750,677,382,845,763,521,447,252,941,680,783,420,
218,019,752,736,644,395,035,277,677,158,898,539,038,719,016,158,039,436,581,
185,242,569,168,095,197,199,903,052,673,413,332,720,242,264,882,958,155,334,
589,868,724,660,945,193,632,643,061,908,770,727,719,062,887,268,724,168,960,
794,391,724,483,902,607,062,939,219,858,966,642,192,363,011,942,563,313,096,
159,844,970,989,576,993,672,068,793,806,556,393,601,912,286,964,041,297,957,
458,741,830,200,453,185,852,552,462,920,487,529,008,010,939,040,532,680,794,
959,382,711,021,671,402,022,569,188,482,548,288,463,408,877,232,863,346,726,
033,878,909,253,241,808,979,902,975,131,047,643,970,813,909,518,919,655,297,
449,368,339,245,596,230,480,885,189,521,007,379,146,131,352,259,459,063,955,
229,167,354,967,855,789,168,172,002,203,783,047,461,053,587,616,906,718,683,
201,584,075,818,611,580,289,485,908,337,127,866,201,585,168,449,016,725,269,
360,691,527,326,257,120,982,555,688,623,331,238,131,774,332,327,543,042,691,
845,795,825,743,481,213,598,442,338,790,312,568,150,342,550,529,425,194,037,
047,066,374,583,780,415,773,073,292,644,891,316,137,616,585,668,042,094,519,
270,048,192,247,921,221,756,513,414,155,185,096,736,161,438,766,844,218,241,
317,307,594,907,511,532,129,782,868,939,996,917,397,833,901,964,398,480,244,
346,898,449,577,195,825,590,336,502,488,063,292,011,683,507,629,747,568,665,
539,619,706,786,143,739,204,768,133,353,638,188,003,736,721,954,366,438,301,
504,438,239,783,520,454,981,204,676,072,084,312,513,280,346,611,274,469,245,
797,968,719,951,932,706,736,605,523,531,832,663,974,915,281,636,488,023,639,
104,022,305,713,317,440,523,112,533,197,608,948,099,828,074,406,110,681,010,
782,147,547,350,353,797,041,550,908,156,914,737,979,947,218,768,798,459,109,
925,781,234,629,637,330,620,803,351,565,061,781,679,846,966,794,042,298,050,
546,175,850,670,303,982,805,137,984,726,940,917,303,906,935,425,548,047,066,
409,189,871,225,514,992,698,766,136,579,008,959,356,999,191,883,972,482,897,
124,527,049,139,924,390,570,820,885,476,066,355,412,583,320,752,948,483,995,
418,613,784,906,268,331,830,350,543,669,536,792,928,889,816,736,099,081,277,
863,466,867,271,896,451,158,482,888,377,550,877,779,648,603,965,480,776,614,
406,114,300,743,421,163,590,502,736,466,227,980,512,336,292,228,463,113,780,
847,312,217,631,008,795,647,840,099,507,921,635,361,973,579,227,062,130,923,
495,477,106,692,732,393,458,204,463,418,727,019,985,133,082,139,690,635,777,
808,564,454,245,430,719,041,287,500,361,486,061,117,890,407,283,976,118,674,
857,028,008,628,257,814,331,577,959,924,405,376,125,478,870,387,953,487,908,
680,121,441,241,012,856,772,830,376,720,288,887,160,950,576,863,884,950,375,
597,647,275,064,635,117,947,211,108,302,813,545,901,839,984,010,249,610,999,
232,058,531,825,015,477,709,206,122,619,671,829,309,338,550,583,727,119,993,
143,665,157,330,109,174,584,417,061,534,241,892,345,522,906,543,637,773,033,
812,980,501,322,791,383,115,250,943,927,691,084,231,958,116,978,341,340,379,
080,836,297,841,739,519,559,718,735,126,019,067,506,743,312,930,381,323,252,
012,619,703,946,354,160,964,304,063,627,596,566,478,011,297,970,030,982,613,
597,264,218,138,390,672,487,354,931,809,803,791,192,863,052,772,484,168,844,
814,613,455,145,937,192,837,731,854,305,021,512,605,408,064,492,665,446,287,
074,138,748,508,702,138,575,421,861,483,566,432,108,782,790,891,567,764,828,
346,316,404,792,645,438,882,685,059,116,030,154,277,422,903,285,751,310,426,
708,731,027,751,495,795,921,939,477,541,818,990,521,891,997,413,860,420,864,
363,930,242,572,399,479,164,210,426,281,265,353,165,120,144,400,859,789,028,
313,009,845,536,060,581,811,038,634,952,507,018,529,286,229,169,649,420,040,
834,152,232,563,229,403,148,140,734,399,663,035,578,017,180,300,693,789,826,
680,016,093,542,582,367,223,607,390,700,800,727,482,309,178,502,859,699,250,
658,886,388,088,623,870,830,882,069,292,053,195,863,685,982,033,560,202,111,
528,597,954,394,016,483,397,976,670,991,673,844,984,990,266,533,629,365,808,
394,048,711,801,598,989,600,492,016,871,993,772,280,753,228,113,411,171,992,
581,723,837,841,788,934,445,158,492,252,493,007,446,448,808,010,921,270,236,
128,280,058,991,624,066,939,414,181,449,055,533,934,489,057,551,342,526,186,
792,318,430,675,725,650,960,124,729,294,096,342,546,166,621,695,565,158,459,
299,985,907,115,952,440,096,189,105,121,496,167,580,218,838,855,646,015,931,
372,421,983,774,143,438,574,148,329,946,393,882,170,690,628,833,328,904,547,
269,121,032,743,150,168,565,823,424,033,355,993,973,957,869,153,531,791,499,
451,390,307,950,689,991,479,079,896,779,002,468,552,156,862,049,344,811,151,
617,633,187,211,665,902,763,536,003,775,104,587,743,436,799,160,755,496,878,
924,466,348,167,108,656,827,086,677,583,837,883,387,955,723,570,098,220,924,
005,176,961,139,325,868,822,856,241,230,892,413,406,108,128,788,046,576,582,
901,937,515,253,329,306,451,219,333,623,477,347,191,593,387,979,978,522,419,
842,787,697,754,175,444,503,770,593,780,142,231,278,835,554,699,939,908,070,
042,180,281,579,158,860,572,341,359,776,086,296,811,037,657,004,353,119,797,
749,945,616,673,013,122,462,402,945,776,485,940,061,144,609,749,203,436,015,
494,677,157,286,750,102,452,336,736,488,429,544,575,355,420,269,654,979,221,
752,142,269,249,596,512,134,136,537,709,725,740,763,561,216,461,498,761,273,
645,814,638,767,905,485,404,848,260,241,044,906,348,030,225,874,232,072,529,
492,324,485,264,527,391,704,437,047,220,304,996,088,235,650,276,837,414,779,
548,823,815,581,453,180,277,851,684,448,274,379,605,453,723,545,730,698,391,
520,741,225,811,334,532,710,092,294,566,936,681,779,777,441,374,921,064,727,
119,186,551,077,921,072,058,356,390,559,893,238,705,193,793,389,731,370,533,
949,404,561,203,531,100,636,676,783,024,234,088,007,948,782,984,831,379,373,
080,144,229,147,123,166,461,519,573,479,743,187,627,367,564,218,640,966,962,
396,694,702,674,268,645,942,600,280,762,704,781,193,201,590,224,740,762,251,
996,581,376,743,615,672,798,480,228,845,839,120,541,039,416,120,924,980,802,
002,100,287,646,051,950,318,682,678,549,188,540,234,710,431,312,557,579,315,
047,904,319,031,780,203,349,704,585,677,902,084,204,767,253,959,680,839,422,
809,180,984,785,431,233,432,274,647,977,055,622,936,794,239,418,631,872,390,
951,194,835,881,569,477,763,271,954,728,021,876,098,030,883,560,198,194,688,
499,783,009,488,739,043,658,654,400,452,403,961,705,750,880,549,119,132,175,
993,536,920,717,257,010,793,652,786,944,978,701,962,225,562,304,306,418,084,
999,938,821,776,679,968,983,786,340,394,235,708,438,438,899,781,445,617,629,
625,989,756,299,188,582,074,830,530,453,179,389,134,993,500,469,391,867,308,
818,614,007,184,177,884,948,743,601,665,251,543,626,388,720,943,865,941,273,
097,841,744,036,424,277,806,488,846,040,447,096,880,976,267,668,043,987,569,
255,425,078,447,275,959,515,817,552,429,295,793,412,296,735,002,772,921,093,
597,845,707,346,678,268,599,687,107,778,117,388,062,493,876,307,166,357,724,
581,154,819,879,468,915,819,996,978,163,567,682,779,584,599,603,870,269,304,
535,185,346,792,047,821,637,275,635,169,139,127,625,990,511,790,372,380,950,
408,768,717,640,793,162,144,583,950,702,407,727,436,277,605,044,217,092,335,
418,621,758,481,883,963,235,531,729,001,496,623,181,695,500,128,763,891,422,
390,277,510,522,870,873,644,480,732,999,654,792,495,154,222,042,661,621,837,
347,624,571,898,828,303,961,162,168,752,848,139,270,493,806,438,611,930,961,
461,601,821,652,238,018,065,325,051,491,838,700,614,715,522,844,789,472,266,
821,699,823,588,878,058,283,650,816,349,114,227,513,995,306,573,813,749,068,
439,423,576,452,220,873,803,214,393,694,118,541,803,824,221,255,984,964,255,
859,979,854,671,228,933,242,900,282,948,742,882,067,814,575,829,372,509,146,
754,578,134,566,513,478,989,835,331,358,746,206,460,394,885,920,522,363,551,
111,991,088,463,904,637,292,957,738,293,560,137,881,976,157,736,248,717,623,
140,196,524,537,009,372,286,689,856,097,938,924,566,062,544,399,648,364,624,
630,865,106,171,363,327,769,299,005,098,923,546,723,769,960,427,517,007,914,
810,982,145,382,419,831,193,421,283,741,750,929,102,965,229,396,831,162,303,
807,959,788,032,449,810,103,312,380,438,273,926,913,611,151,626,696,850,802,
090,764,458,816,896,016,879,770,963,326,087,253,737,765,590,764,075,920,160,
966,911,797,170,559,583,644,746,904,409,505,405,780,157,921,518,424,456,575,
390,520,250,202,319,553,675,647,524,270,775,760,957,042,588,447,877,514,740,
110,034,286,335,781,856,568,207,142,294,694,044,325,451,185,558,230,226,552,
788,822,184,059,376,654,070,710,353,951,533,625,352,922,163,410,774,142,215,
053,425,199,609,699,502,026,237,833,893,060,303,293,623,832,987,973,344,542,
326,493,319,749,499,209,342,463,650,668,166,715,776,592,869,570,216,150,974,
239,045,782,529,633,027,385,961,799,002,353,173,238,646,960,319,181,215,285,
639,704,585,286,234,689,326,801,019,865,113,838,381,677,036,064,411,474,657,
306,077,159,722,833,709,477,608,452,946,432,535,727,512,150,005,122,757,448,
353,467,142,828,587,633,476,703,244,975,941,702,432,912,769,539,989,099,563,
537,605,465,457,129,523,239,189,561,765,946,366,785,169,395,995,966,821,627,
536,069,786,108,768,680,798,527,575,659,725,356,792,653,222,284,984,535,564,
623,348,777,251,426,904,662,100,692,586,264,037,693,215,217,376,203,086,304,
798,036,851,730,512,158,642,642,240,039,692,555,247,560,504,489,360,969,995,
132,050,299,501,353,694,844,995,687,077,190,360,514,362,801,076,350,376,114,
496,425,610,122,455,423,162,928,807,496,473,401,427,899,072,509,879,352,683,
439,100,119,848,313,169,478,714,366,786,897,416,688,372,127,033,408,625,417,
449,484,948,128,987,249,383,257,723,994,812,821,350,844,772,894,374,205,201,
132,139,886,738,781,725,515,285,586,431,974,170,800,082,035,749,846,991,971,
167,625,738,332,065,287,086,182,940,247,825,231,306,667,798,893,733,643,376,
179,444,018,867,162,929,490,827,755,071,769,474,150,087,295,123,168,743,238,
693,366,626,895,949,460,335,947,419,582,723,560,176,053,302,262,529,471,125,
687,648,490,350,385,699,845,808,511,169,341,750,896,402,979,245,926,696,939,
980,045,612,489,221,626,767,777,797,243,965,142,613,752,788,215,901,815,019,
159,106,944,736,118,051,900,628,209,713,786,351,242,450,106,754,656,736,855,
523,751,450,943,746,868,874,395,853,851,100,258,111,880,185,781,693,568,883,
596,138,367,626,783,054,867,778,450,728,505,362,753,195,991,393,273,390,346,
019,362,419,637,690,166,357,437,709,278,409,681,598,928,099,644,498,059,546,
457,335,287,591,112,847,797,545,292,660,934,687,718,578,075,309,459,203,947,
864,111,043,119,075,784,041,992,393,697,403,870,478,173,768,140,134,223,969,
757,392,336,721,897,627,307,064,264,234,442,941,854,064,397,392,091,959,191,
503,787,037,249,189,842,216,052,836,574,270,019,070,995,677,551,243,031,958,
773,165,316,158,230,772,817,130,236,915,721,319,977,190,795,477,584,965,603,
459,251,150,518,311,828,874,075,937,060,007,089,828,211,492,808,619,091,101,
455,556,100,823,451,082,917,392,168,360,842,315,604,213,441,905,980,030,215,
563,688,510,242,308,649,889,412,409,087,236,166,990,126,691,403,268,153,613,
171,939,750,915,068,574,578,055,720,940,126,777,358,795,421,375,859,206,971,
076,824,231,166,850,963,160,671,169,138,220,310,372,343,115,038,286,279,508,
060,827,444,294,544,777,625,663,876,585,068,377,425,855,810,105,531,362,780,
739,119,416,801,628,639,171,588,950,799,462,709,134,662,096,258,390,920,474,
775,385,810,808,852,925,581,397,168,371,273,019,463,694,222,928,832,212,481,
857,005,094,215,808,323,582,709,518,922,060,233,696,700,708,498,009,202,323,
578,554,391,834,134,003,105,124,869,790,156,871,885,340,090,071,841,306,159,
126,297,449,920,582,147,085,787,221,604,865,827,527,103,542,145,024,079,587,
671,472,358,306,604,616,300,015,208,278,979,778,311,970,852,247,867,420,040,
575,924,846,962,112,076,620,544,183,219,714,852,974,570,605,636,653,231,621,
519,912,570,515,341,583,787,757,968,803,677,288,874,472,174,915,365,354,095,
933,179,992,161,414,427,857,456,988,528,760,705,063,056,868,597,647,056,733,
942,985,355,508,393,455,805,831,981,521,833,366,862,677,410,635,036,450,248,
561,306,176,848,785,759,825,056,198,232,504,033,686,693,197,357,374,405,180,
941,469,391,367,458,793,782,308,499,475,123,709,775,384,462,849,947,631,630,
072,457,857,064,076,514,672,968,853,862,801,826,948,105,759,585,969,687,567,
891,377,692,202,387,412,274,428,954,748,846,356,293,018,435,329,027,821,274,
085,081,869,112,859,159,443,516,501,916,219,102,895,435,523,581,869,822,007,
414,076,314,452,906,252,809,883,718,302,866,481,800,499,671,862,292,947,704,
700,260,119,912,032,681,389,817,837,703,468,396,037,922,761,693,916,401,712,
075,585,337,080,241,359,425,719,378,919,482,864,855,090,953,461,952,009,913,
122,524,675,611,287,370,727,294,020,897,690,006,626,720,284,656,747,978,191,
921,652,043,622,619,934,046,814,552,970,877,406,722,238,328,208,124,455,707,
891,411,090,284,224,951,949,492,132,009,612,843,237,647,708,757,287,895,347,
041,782,105,951,369,631,196,097,243,740,338,742,540,592,639,739,913,673,804,
467,364,024,812,508,504,584,559,107,082,329,117,790,600,766,239,197,275,904,
713,347,831,957,744,991,744,146,456,582,869,391,317,664,364,343,316,568,726,
081,816,722,538,238,517,523,431,786,304,844,687,562,503,142,860,258,868,238,
428,459,139,313,137,356,833,231,302,050,286,515,370,323,626,605,017,629,521,
733,175,711,008,570,086,713,622,587,220,426,609,230,244,470,940,568,333,263,
461,968,291,215,466,616,661,576,963,726,618,642,971,557,497,124,316,677,487,
151,817,490,696,761,529,868,510,931,955,217,876,073,376,134,942,150,861,708,
940,983,747,072,759,159,227,579,152,890,631,298,811,672,283,920,101,514,198,
560,778,094,457,987,143,769,014,845,943,217,420,943,313,275,264,386,653,163,
193,169,900,131,918,688,215,501,338,721,192,387,162,118,697,281,708,478,926,
629,536,218,845,959,157,803,185,902,489,753,349,144,528,935,553,952,934,613,
607,851,557,240,480,789,407,547,536,726,038,092,074,933,278,368,930,538,336,
873,555,454,625,890,270,881,161,715,911,678,068,066,586,248,914,367,761,468,
712,788,469,534,037,149,253,772,390,192,001,049,434,163,539,945,511,973,780,
539,634,537,229,303,792,185,716,707,190,038,465,539,661,056,843,312,325,239,
664,863,580,180,580,557,734,037,117,103,877,267,354,829,821,859,676,851,224,
394,722,794,105,221,321,403,230,627,483,167,636,167,710,411,711,568,481,740,
495,041,449,208,144,815,925,612,234,066,635,929,675,591,030,367,491,649,216,
358,860,378,950,500,597,770,390,504,930,223,963,944,680,641,905,632,030,970,
300,718,229,925,195,202,538,705,932,209,215,670,127,727,735,366,070,252,594,
883,529,963,527,640,423,385,220,252,993,363,291,824,856,550,478,243,700,141,
888,145,145,753,640,712,891,856,884,750,131,861,510,450,810,635,785,375,097,
009,076,145,554,625,524,663,520,583,516,413,546,612,763,578,553,478,013,286,
200,775,125,837,590,778,763,956,590,407,263,457,996,870,239,615,406,287,210,
915,439,256,364,503,909,789,932,956,781,828,893,949,150,730,709,757,324,157,
707,113,939,518,889,019,406,693,340,823,689,971,228,903,021,516,335,375,259,
072,137,089,757,931,679,503,462,776,644,443,299,090,487,199,269,913,673,315,
004,269,281,312,331,936,909,145,139,926,713,555,130,053,240,184,533,504,926,
369,765,393,010,084,486,659,372,084,994,069,127,935,233,513,285,420,061,769,
088,746,156,775,305,206,909,877,843,723,403,175,688,421,749,508,745,180,025,
935,367,257,941,197,340,909,910,792,208,610,708,933,075,801,563,892,397,197,
760,827,257,256,185,156,371,430,089,219,617,179,297,959,540,406,097,743,609,
693,658,019,457,549,941,691,909,692,864,437,335,882,575,503,948,427,359,243,
623,681,119,870,469,362,487,870,390,664,187,064,256,366,784,222,738,280,741,
950,624,969,787,860,466,528,255,728,914,868,655,441,543,492,336,534,474,995,
528,268,242,938,615,693,523,120,510,445,729,724,855,726,044,059,791,569,180,
333,084,060,935,452,427,067,517,209,427,898,348,844,409,152,895,719,973,812,
717,583,839,650,444,874,074,954,142,183,440,366,609,107,301,616,925,085,350,
575,587,020,098,807,584,173,856,510,847,430,624,712,553,659,403,345,521,781,
943,767,719,502,577,107,655,926,552,800,711,015,925,213,144,925,704,980,921,
355,991,057,529,743,530,360,752,094,696,854,592,210,359,374,653,382,714,122,
137,784,956,424,413,597,057,551,397,349,098,464,887,642,792,632,790,259,063,
261,615,249,598,929,814,125,464,457,483,572,230,901,883,307,492,513,908,967,
399,939,209,858,735,379,433,618,046,596,893,131,781,743,317,832,744,111,259,
102,817,004,698,983,137,273,511,220,861,505,907,492,771,372,375,071,488,083,
407,468,394,278,886,459,424,255,723,635,163,292,918,656,226,019,200,940,874,
750,931,303,372,824,550,465,884,419,488,779,796,867,411,081,529,986,298,461,
711,873,697,527,064,961,264,842,352,689,537,232,988,689,997,348,585,769,728,
362,594,725,947,032,375,810,820,398,071,371,804,949,207,741,660,164,377,056,
351,484,882,864,941,767,504,327,304,205,882,490,456,927,160,177,997,419,011,
400,668,100,398,531,653,140,954,465,443,849,486,808,618,577,519,753,394,796,
125,119,284,972,254,284,020,496,598,658,109,686,728,779,354,582,224,597,751,
304,698,517,702,489,484,832,216,339,546,489,213,451,809,328,883,730,763,505,
141,323,169,019,290,879,660,160,337,965,417,383,516,808,753,459,660,048,875,
532,632,122,175,264,252,615,708,085,207,071,717,417,268,915,426,213,453,328,
139,592,163,145,116,085,936,398,269,500,412,927,838,564,711,504,542,317,689,
488,138,725,495,034,968,351,474,749,143,059,902,963,688,479,170,648,616,707,
189,131,008,161,407,003,416,401,403,321,307,276,796,059,951,642,916,682,120,
813,346,644,563,137,365,567,495,868,679,757,606,108,085,990,393,409,086,271,
370,928,531,148,675,315,302,201,561,823,818,202,386,526,305,097,636,802,319,
381,811,426,524,451,060,137,940,436,449,153,301,701,968,179,334,206,851,124,
751,244,872,761,282,519,931,832,842,417,499,487,110,324,165,380,822,785,913,
964,855,165,160,139,999,367,148,011,620,440,550,108,205,131,555,584,612,664,
733,787,600,938,816,274,111,197,902,783,583,591,142,461,759,319,828,932,587,
569,246,176,234,065,453,003,272,874,442,857,761,644,236,156,201,421,688,917,
513,550,406,447,103,824,785,810,860,986,694,612,066,608,023,461,117,432,483,
143,031,542,334,792,575,550,367,063,688,538,908,814,281,412,046,057,538,099,
585,928,605,024,488,875,433,856,612,143,398,819,296,531,591,429,863,097,557,
975,342,879,880,721,750,375,643,955,452,064,859,123,612,320,646,277,060,477,
388,940,186,731,008,660,505,379,788,166,917,625,943,829,863,783,724,098,915,
221,619,144,462,963,116,740,810,861,947,156,388,009,217,523,765,916,010,150,
049,048,155,087,083,010,261,053,222,786,929,280,046,034,274,281,470,875,815,
203,453,202,015,474,892,270,741,642,597,729,041,190,347,412,022,969,954,908,
396,132,483,075,423,731,001,331,587,783,455,922,155,171,460,779,440,381,961,
274,346,120,774,655,207,544,558,325,470,284,106,361,375,211,285,683,489,711,
296,931,398,742,304,466,674,321,272,723,431,426,104,970,260,928,882,637,801,
548,647,516,480,485,216,465,425,654,633,631,544,409,851,340,315,663,204,584,
881,423,120,795,313,893,741,347,546,305,766,848,432,019,820,149,467,147,859,
090,113,012,721,440,609,053,853,866,779,612,068,672,109,817,373,429,181,416,
688,558,677,822,517,161,290,251,049,906,741,068,101,076,248,378,541,677,780,
337,515,364,387,968,900,922,427,193,312,933,627,561,510,786,147,404,175,124,
717,928,540,609,343,585,970,002,071,974,501,409,681,617,159,637,326,050,639,
329,104,746,928,104,092,556,350,995,233,515,789,013,486,693,416,988,547,003,
373,511,912,592,427,090,706,389,640,878,848,953,092,114,011,648,659,489,947,
934,097,651,692,516,659,788,778,802,218,533,067,518,562,369,232,676,978,838,
754,410,064,465,312,300,011,576,367,992,207,218,469,877,197,931,965,607,262,
113,304,252,296,682,090,438,700,790,723,070,755,241,772,253,703,195,391,433,
862,814,827,629,191,298,236,193,840,878,745,430,810,790,785,213,832,174,967,
671,909,230,006,260,599,592,595,307,185,235,521,589,346,005,839,509,821,301,
215,451,523,110,928,828,746,967,543,398,572,344,842,129,579,183,172,759,883,
739,817,624,779,029,422,183,846,881,749,439,332,590,415,981,862,946,420,811,
851,287,746,485,299,289,526,341,963,644,536,983,804,920,173,881,390,861,645,
353,353,994,841,125,243,426,212,548,669,970,171,362,455,053,422,862,435,804,
104,441,673,190,127,416,084,349,986,523,885,396,314,045,435,011,336,671,792,
625,780,068,867,090,201,919,390,671,283,066,087,482,865,537,695,197,677,831,
473,766,491,112,634,888,190,726,918,477,953,911,247,118,180,274,786,456,593,
372,533,902,479,606,787,773,677,169,067,607,814,606,796,572,022,284,941,837,
031,813,845,937,700,807,285,972,688,986,519,460,313,486,605,686,541,370,107,
018,086,515,218,634,652,984,445,169,680,029,576,857,468,421,859,056,393,924,
667,845,779,432,227,148,909,174,054,183,565,143,685,512,984,603,655,358,276,
612,499,457,824,026,036,408,888,233,990,540,134,710,975,067,920,250,070,961,
935,547,982,753,415,938,666,855,058,848,716,255,845,570,101,309,512,929,677,
548,907,308,858,952,728,291,458,047,935,537,053,727,177,494,760,355,047,380,
729,888,251,353,020,802,584,524,106,743,462,586,382,535,669,271,584,587,327,
446,029,300,284,030,930,928,048,386,087,203,351,006,403,428,411,615,395,574,
656,264,512,306,934,425,949,513,096,955,538,487,387,021,131,223,288,903,433,
171,929,087,807,312,120,011,456,499,493,046,441,015,058,605,175,342,518,154,
669,276,359,635,606,399,930,824,266,947,980,671,630,395,807,186,959,857,106,
603,116,238,504,169,123,058,024,298,410,363,551,620,624,612,878,793,684,254,
287,307,714,623,362,903,466,688,899,401,329,964,723,245,911,157,139,937,848,
071,282,622,677,916,960,552,367,475,433,654,825,819,236,269,362,361,565,174,
258,274,098,357,294,729,009,809,754,358,654,007,698,999,683,090,476,341,583,
389,542,990,967,691,264,599,164,914,096,083,797,238,210,253,656,070,216,845,
243,110,959,165,234,850,469,802,111,524,315,890,484,857,717,648,269,477,454,
181,905,239,380,248,148,953,911,607,975,769,557,848,428,522,792,572,714,075,
887,753,674,051,660,259,851,356,056,466,759,728,342,690,291,021,445,800,722,
691,031,650,680,258,359,156,691,914,671,346,096,302,509,385,422,829,096,497,
860,318,423,979,580,175,447,341,877,065,729,115,378,971,268,832,006,180,835,
221,363,537,600,042,862,286,540,405,644,384,164,086,760,484,994,021,433,341,
146,629,699,304,515,504,789,575,842,286,559,741,235,203,753,878,586,643,637,
493,444,683,422,961,135,990,578,116,839,782,698,057,264,211,657,407,955,134,
266,370,274,976,159,597,564,897,837,897,415,838,611,019,733,867,569,411,299,
150,140,019,311,266,319,332,065,365,716,513,117,936,699,772,059,105,473,372,
337,436,357,899,969,246,470,703,868,333,640,395,852,832,329,842,296,526,354,
601,037,914,007,085,153,757,561,842,908,502,685,795,308,341,471,514,946,533,
680,088,278,309,521,343,685,528,680,319,038,329,324,025,428,024,621,774,164,
195,874,802,182,221,865,707,014,646,521,768,992,275,518,769,342,041,497,708,
730,733,243,580,236,004,459,596,316,461,245,031,249,312,358,568,051,886,678,
388,174,007,943,464,567,177,008,341,711,161,187,422,490,891,623,259,785,254,
686,941,339,710,317,363,859,571,821,334,163,688,728,821,453,645,025,613,134,
088,354,510,851,042,124,275,218,873,323,613,015,884,682,192,291,975,769,870,
021,745,455,487,284,772,094,485,413,909,328,340,837,646,714,324,561,039,700,
662,074,283,309,224,947,960,863,455,700,731,199,746,113,725,957,540,090,690,
273,147,403,988,615,044,907,891,217,062,926,342,153,143,968,840,754,086,453,
140,806,961,926,998,757,674,367,462,252,790,917,518,200,612,970,420,371,159,
108,640,199,888,060,654,621,258,195,286,301,491,494,653,533,693,810,657,763,
915,697,493,608,371,545,439,683,379,682,765,146,255,541,432,912,181,298,140,
235,306,598,457,661,685,646,906,712,246,489,192,054,201,888,381,602,141,266,
645,393,812,755,350,284,977,611,298,802,173,603,422,952,514,946,441,874,742,
245,218,187,909,310,588,814,954,637,035,480,250,664,977,555,153,845,682,581,
429,443,361,053,644,858,260,106,888,418,110,694,549,004,364,371,503,412,665,
809,913,631,844,342,783,084,605,667,470,728,544,747,482,956,813,291,295,605,
482,081,109,580,428,779,012,719,211,414,978,385,663,964,976,982,726,453,468,
491,769,090,202,703,096,839,477,196,986,147,433,359,685,977,280,779,545,088,
095,830,209,023,065,942,640,608,004,680,511,153,750,918,826,210,077,077,008,
253,775,251,057,163,874,233,049,745,396,046,002,780,875,268,762,795,710,537,
320,060,208,148,232,649,215,056,924,246,924,256,439,653,300,069,505,337,506,
903,873,223,530,275,084,503,925,709,600,131,135,189,815,360,429,192,772,942,
872,136,076,442,320,257,586,699,114,013,409,978,769,954,353,902,633,304,847,
694,093,523,335,418,662,510,267,156,364,212,443,350,833,374,900,198,864,085,
213,536,036,167,648,947,092,119,659,672,240,279,344,343,802,502,499,390,394,
117,390,707,681,394,772,638,351,778,929,702,165,371,182,919,279,369,601,949,
318,775,663,312,105,890,271,414,451,457,160,513,264,950,810,599,804,627,852,
066,177,416,337,916,525,479,847,706,908,666,783,766,876,328,013,999,348,476,
824,723,206,016,250,695,844,730,196,779,840,912,566,940,713,487,078,947,783,
524,239,419,509,055,035,416,634,563,709,885,539,034,650,409,225,821,184,566,
277,736,979,831,521,957,331,375,892,992,219,806,822,670,729,492,103,702,125,
837,188,237,171,969,753,456,689,478,912,104,775,591,187,634,028,082,218,852,
664,480,566,847,703,336,470,767,372,417,599,944,399,361,043,445,268,614,343,
040,181,772,500,290,366,673,437,010,354,302,836,330,927,615,883,655,663,526,
776,247,791,963,171,560,071,041,526,501,977,302,467,238,448,889,822,734,897,
293,097,624,697,867,724,172,160,435,038,537,715,544,325,984,839,752,998,286,
098,950,854,920,238,372,823,717,946,086,462,619,313,889,839,405,967,687,888,
739,824,011,065,272,758,050,727,552,662,132,170,731,906,248,903,033,994,642,
980,462,861,236,920,677,722,480,370,226,694,719,277,384,102,632,846,901,021,
602,259,703,386,043,578,776,805,320,588,785,173,550,024,885,972,956,627,526,
954,644,386,227,638,006,041,651,033,218,465,624,227,659,665,554,716,931,781,
236,910,695,625,189,587,138,572,164,465,558,056,040,936,116,691,053,611,744,
637,546,983,389,516,790,430,711,384,416,344,910,209,497,359,931,560,523,055,
352,688,742,665,873,206,999,018,638,770,869,092,840,457,354,660,862,222,535,
529,024,379,811,029,757,275,497,573,546,883,247,994,398,163,214,985,176,578,
996,696,736,696,209,802,003,949,192,312,707,790,135,905,349,523,623,885,451,
494,871,400,921,302,990,071,720,373,642,305,819,919,093,803,736,824,402,831,
135,102,928,482,748,182,787,528,808,192,244,748,490,723,861,164,455,585,060,
672,314,249,623,006,447,769,354,303,345,644,371,336,160,260,386,986,471,397,
344,382,168,296,311,703,794,981,250,231,249,128,771,253,147,868,767,677,370,
123,681,467,521,908,634,299,257,384,625,046,298,952,119,057,484,694,420,559,
726,109,006,509,125,149,465,470,569,138,877,356,083,657,941,764,959,146,845,
809,333,913,522,868,273,419,246,779,340,998,753,371,440,753,537,342,979,262,
381,449,052,411,489,927,836,877,026,874,904,945,255,575,763,446,675,069,206,
320,181,820,081,719,277,688,766,262,647,433,265,963,693,282,586,176,088,809,
002,593,295,364,226,492,160,237,519,332,068,007,863,351,232,329,809,502,677,
390,695,814,126,971,987,022,972,779,968,613,564,951,564,317,251,494,533,624,
843,735,671,527,144,037,082,327,735,865,262,261,869,589,782,285,096,986,945,
042,105,905,139,121,639,196,278,069,432,717,646,248,687,356,228,976,058,192,
761,532,277,811,594,783,125,134,683,506,686,681,521,843,857,367,308,834,186,
012,738,991,501,976,231,829,680,772,323,963,871,723,856,438,915,423,193,701,
270,301,285,397,261,553,802,671,331,163,061,071,736,463,860,233,507,548,901,
858,381,784,223,900,290,494,396,423,283,143,961,881,553,812,264,566,840,479,
380,720,647,562,227,173,644,755,152,832,490,123,432,336,011,600,883,881,428,
154,911,987,090,565,530,180,342,839,441,950,625,060,170,467,870,254,806,774,
605,342,112,577,866,423,591,092,577,742,651,688,838,346,307,772,352,976,728,
422,573,095,923,505,223,632,177,580,986,416,836,425,012,427,323,519,161,948,
750,557,795,815,809,360,484,434,982,834,137,888,849,548,119,827,712,309,826,
092,778,187,214,653,642,988,590,623,344,433,336,324,091,648,258,032,470,266,
110,743,956,128,323,941,113,660,796,177,316,126,781,368,498,095,974,263,925,
021,844,551,745,859,603,003,689,879,577,352,995,105,662,292,712,195,494,074,
778,586,796,447,537,985,300,828,809,555,566,039,617,358,689,101,504,584,001,
868,298,585,206,165,622,567,651,941,387,052,257,675,631,909,917,637,455,107,
544,328,919,687,328,265,443,847,619,494,916,368,925,306,766,137,706,335,369,
734,128,552,313,692,733,355,772,761,155,940,292,524,552,313,172,284,474,352,
465,905,570,696,593,040,654,265,891,227,059,696,030,846,929,854,060,949,119,
736,134,074,823,059,637,004,149,353,538,293,705,271,600,131,884,553,794,463,
432,707,331,383,777,019,466,041,241,012,117,394,514,270,456,282,685,261,459,
644,208,106,069,762,745,563,407,026,789,811,848,807,565,297,626,664,017,217,
653,955,114,814,063,457,988,788,469,885,783,119,605,081,137,184,651,590,879,
091,032,698,789,625,384,966,594,966,904,871,837,056,238,971,299,218,982,475,
266,577,363,449,298,162,772,802,166,771,693,492,704,733,868,963,668,490,384,
884,001,024,706,310,573,661,200,231,622,231,708,769,782,567,384,887,138,605,
367,594,911,193,168,685,550,210,515,241,684,065,811,941,050,885,942,787,472,
379,218,333,805,744,161,477,206,000,427,255,770,151,300,183,355,618,696,914,
439,989,327,118,737,705,161,329,733,543,768,778,736,561,720,156,076,005,868,
297,706,221,776,327,085,797,886,484,684,303,853,438,359,029,860,868,276,472,
133,200,062,332,458,349,971,554,928,673,970,843,380,702,092,746,657,179,767,
289,490,844,466,225,677,356,632,073,683,278,836,956,416,903,497,745,655,918,
917,154,475,264,394,009,606,852,284,548,471,924,715,401,448,440,438,504,672,
699,109,308,852,821,008,066,151,242,027,622,104,589,549,377,865,998,848,294,
414,916,824,551,760,284,199,906,830,807,137,009,387,643,552,925,244,742,073,
025,409,217,345,726,014,518,050,966,303,955,754,351,588,663,704,296,676,795,
112,496,789,761,329,157,427,326,916,604,408,683,805,033,444,354,555,348,348,
459,514,992,288,610,113,674,971,335,085,487,765,282,815,956,462,438,324,178,
480,959,811,951,680,763,938,562,331,695,066,474,173,695,951,776,932,282,354,
428,149,683,183,282,706,726,537,895,113,391,814,741,916,389,433,312,599,843,
330,169,414,051,136,896,878,312,822,550,458,920,187,737,704,959,806,478,822,
325,080,889,253,898,977,146,853,278,086,576,361,246,617,937,416,682,403,767,
652,682,069,643,294,347,699,593,603,718,421,216,242,308,200,961,940,585,624,
226,182,814,194,798,685,397,297,346,778,213,180,063,196,919,044,386,753,187,
340,483,228,250,072,629,421,196,622,141,409,168,522,365,872,327,440,987,912,
109,702,235,643,426,578,824,181,166,899,967,392,078,013,847,923,218,510,862,
137,753,067,056,092,088,697,756,873,025,727,246,406,351,215,114,385,739,614,
074,170,235,871,803,498,884,019,285,208,404,013,256,012,030,871,783,606,511,
251,535,210,621,510,882,232,079,356,744,623,068,664,449,146,004,040,539,021,
764,481,223,492,293,287,421,920,197,665,932,372,689,127,136,050,753,616,952,
644,124,638,589,299,618,071,780,275,055,862,512,109,757,993,709,320,288,807,
331,005,700,040,765,411,529,437,585,130,666,998,362,211,455,958,818,315,574,
825,187,355,094,556,400,779,230,828,773,140,577,554,563,450,678,610,065,081,
832,504,243,383,404,276,144,508,491,566,451,738,316,795,435,307,440,434,495,
619,649,021,746,641,330,337,044,242,005,731,443,241,465,927,678,847,194,736,
640,968,048,348,325,922,243,478,857,864,201,915,854,247,353,149,292,600,512,
126,012,614,097,624,205,323,156,604,367,067,435,135,619,666,460,245,821,304,
797,730,146,320,971,622,651,784,702,574,193,672,166,876,816,406,801,166,871,
496,346,755,207,087,655,641,612,147,152,181,402,896,620,619,349,377,211,349,
311,126,884,935,652,530,632,051,019,873,213,416,856,694,918,284,500,324,325,
679,974,129,007,691,335,311,908,097,388,905,188,043,826,710,254,367,037,874,
624,314,145,136,579,793,958,238,172,891,444,045,951,935,501,312,149,544,197,
655,266,607,191,072,536,048,600,348,439,858,568,442,313,417,528,607,453,184,
025,981,441,291,061,166,804,866,478,571,225,741,257,551,054,785,915,089,531,
730,444,651,351,885,530,368,077,236,849,006,416,168,788,596,732,130,107,034,
652,231,375,208,425,742,295,662,355,773,638,875,822,492,040,726,250,337,103,
141,758,678,768,670,431,795,121,213,298,311,841,690,252,824,307,077,550,634,
238,764,615,366,512,108,736,185,448,605,598,606,352,198,482,662,506,471,040,
788,917,750,910,715,627,978,721,484,696,445,877,390,219,169,035,701,017,079,
301,411,201,327,967,494,535,674,907,202,795,582,181,249,436,741,272,222,324,
394,694,539,991,613,126,169,370,518,998,703,066,481,859,517,355,295,682,128,
391,990,293,661,017,010,958,187,326,451,063,980,164,752,071,439,972,190,342,
894,326,873,817,622,580,899,032,937,429,205,769,044,576,664,968,083,901,358,
911,207,697,637,882,446,789,836,953,716,834,479,382,799,618,371,415,996,163,
251,686,281,373,978,579,407,544,925,337,389,821,913,404,334,118,543,170,413,
110,413,018,446,809,549,015,108,709,909,311,286,550,967,658,463,929,287,813,
021,796,903,150,436,284,530,254,786,693,291,356,037,750,616,861,423,620,544,
463,317,665,872,902,101,629,850,275,042,931,039,225,454,523,926,226,887,887,
877,331,355,969,607,621,333,141,521,596,885,687,792,419,832,840,612,153,816,
639,805,941,228,904,635,439,634,854,851,302,667,697,741,268,951,168,578,961,
294,336,977,368,806,755,321,111,945,963,687,255,962,095,878,680,325,120,244,
518,669,765,278,291,853,207,900,891,583,358,580,018,083,413,995,584,016,303,
125,374,992,292,822,530,526,537,674,897,104,011,687,681,299,394,613,585,686,
974,900,869,322,445,015,663,967,684,291,364,501,082,505,807,468,359,124,583,
973,463,264,520,272,617,365,557,336,366,323,246,568,295,317,979,873,189,574,
968,925,885,309,765,827,192,612,205,119,754,180,239,968,300,856,849,085,898,
795,100,199,572,241,778,183,053,201,016,918,948,554,157,068,867,792,132,792,
535,154,440,588,857,960,572,057,279,488,250,769,956,001,272,444,347,300,982,
982,139,777,682,256,420,983,171,221,437,641,232,726,767,485,488,390,224,792,
060,298,173,717,584,784,998,250,379,049,151,799,054,781,080,968,191,323,925,
937,703,140,783,108,874,885,047,740,634,344,646,338,329,713,502,458,968,869,
894,238,259,198,884,976,682,369,676,299,240,244,311,058,199,414,556,112,137,
088,111,380,620,679,538,339,450,650,855,895,422,465,007,277,820,599,472,805,
744,346,543,592,548,310,869,651,072,527,379,471,723,488,909,356,422,674,313,
267,836,023,305,284,078,410,470,396,194,811,877,282,848,509,074,102,533,057,
423,090,367,201,985,848,519,871,030,328,311,991,040,866,770,298,817,018,677,
932,702,877,341,961,761,395,198,501,387,571,248,471,097,059,543,813,474,967,
910,675,288,007,764,646,517,218,914,739,191,081,368,238,312,516,903,591,898,
205,108,431,396,496,995,274,014,781,386,018,993,856,242,557,957,823,472,368,
954,367,659,468,879,357,435,726,089,473,709,006,277,617,202,277,873,894,536,
453,188,816,943,521,351,753,505,688,562,847,824,687,581,618,054,001,523,435,
425,395,335,644,958,659,208,191,784,742,740,055,137,488,505,839,746,825,361,
960,846,129,785,444,972,578,996,859,380,805,142,426,661,591,686,369,053,177,
462,430,944,758,686,404,656,180,789,055,787,786,593,953,195,970,043,633,356,
648,297,660,439,506,462,450,136,359,823,515,630,297,097,102,791,282,602,708,
145,936,724,599,681,730,490,696,186,620,455,082,863,066,365,986,594,519,350,
774,472,190,638,032,911,305,080,880,348,287,882,535,650,186,476,508,272,707,
648,791,910,706,362,499,367,304,603,467,176,583,302,995,384,575,502,837,946,
352,718,556,757,681,450,808,772,477,422,546,021,218,397,530,071,827,542,005,
181,912,371,878,800,777,108,606,855,368,130,833,929,801,868,545,377,156,352,
900,398,301,037,879,429,478,691,691,319,384,543,183,984,062,459,498,997,034,
119,284,668,122,265,885,320,377,329,102,107,728,246,187,546,997,382,072,924,
772,231,869,467,292,385,844,285,536,840,612,382,203,990,950,159,835,712,410,
107,940,334,068,960,423,239,871,562,119,109,031,168,169,684,674,882,557,563,
397,665,849,685,395,996,831,651,824,628,232,784,487,217,011,045,781,702,608,
211,283,092,449,333,918,866,116,984,515,948,305,119,864,210,060,033,475,918,
495,902,327,990,907,659,560,555,766,661,161,554,624,595,555,767,479,193,008,
270,715,030,053,007,706,802,767,066,636,910,534,041,726,283,908,274,407,337,
808,834,268,845,201,913,339,511,388,440,729,242,271,985,436,821,579,548,178,
474,160,776,835,710,189,832,452,900,776,393,557,453,140,857,714,926,184,278,
104,876,778,889,570,715,922,779,388,917,708,773,520,206,345,237,765,586,818,
901,518,198,174,556,997,511,313,462,948,115,334,223,795,042,625,369,512,634,
969,580,498,721,700,790,145,908,169,712,442,262,174,218,407,064,363,075,313,
324,700,881,937,863,358,078,463,894,353,386,735,817,963,670,289,348,262,809,
947,152,761,491,812,225,659,697,220,555,328,120,622,384,522,180,633,633,674,
963,115,337,252,683,180,092,286,533,040,583,139,557,829,360,143,605,895,091,
421,515,615,099,986,176,116,506,906,143,561,334,746,571,337,907,381,968,620,
185,413,027,383,153,298,921,638,150,321,843,051,794,116,886,119,301,172,396,
278,478,232,496,377,035,063,829,582,636,048,183,549,190,101,217,621,914,281,
448,386,522,100,616,690,620,858,393,248,611,469,976,640,264,569,857,939,413,
123,995,840,905,905,806,043,711,095,360,143,769,906,547,784,490,800,381,907,
554,952,487,374,778,108,838,271,273,967,179,211,543,008,773,832,999,242,325,
402,547,278,605,737,547,844,679,669,908,872,554,760,307,792,346,150,499,658,
317,043,905,748,105,626,908,790,125,336,075,928,396,520,162,791,419,324,459,
140,490,180,376,860,926,879,420,360,635,637,446,118,860,427,475,601,099,717,
615,355,934,522,882,247,696,088,717,152,856,506,847,774,991,897,898,658,070,
479,377,461,072,253,951,188,093,491,057,194,390,766,047,928,567,369,781,750,
437,809,540,431,136,300,856,215,773,360,615,576,107,523,610,629,660,640,677,
975,818,314,960,861,630,431,524,694,493,692,816,955,217,276,811,371,826,010,
327,817,566,600,100,492,755,393,048,196,185,230,377,463,266,435,312,976,603,
052,569,224,832,795,275,117,426,713,205,493,049,522,569,139,886,584,320,876,
980,559,589,547,556,234,197,933,897,650,990,731,262,893,442,766,076,502,584,
108,812,924,175,064,202,173,753,706,964,808,837,035,430,317,647,142,207,695,
811,341,053,348,442,893,161,532,878,612,369,251,851,124,158,013,920,561,058,
000,343,157,101,130,356,639,607,858,258,122,356,584,741,018,574,048,332,277,
010,874,000,234,751,308,523,281,697,135,031,028,359,361,018,194,166,685,850,
553,291,223,841,215,707,744,358,107,989,718,859,876,267,799,462,197,635,857,
682,778,611,486,916,370,541,577,677,875,288,389,951,312,064,995,481,687,056,
422,994,317,215,996,580,944,012,886,902,295,993,620,708,137,051,842,831,202,
492,274,945,954,218,895,282,314,505,352,230,731,220,113,738,994,100,345,974,
364,696,790,345,678,819,804,914,014,933,975,417,701,217,212,537,413,625,971,
984,998,876,719,720,398,087,688,491,117,137,168,846,064,145,906,563,321,178,
884,778,614,372,154,065,970,655,885,620,820,271,499,253,058,897,576,528,633,
088,005,800,147,376,873,147,163,340,822,255,918,502,749,379,764,672,154,992,
651,762,301,279,174,282,277,083,864,723,405,872,483,858,503,303,523,583,198,
036,038,879,453,289,227,535,911,343,577,514,780,466,958,821,434,959,946,608,
749,029,566,510,394,773,416,478,114,707,658,473,890,745,278,174,872,518,813,
613,849,221,618,084,182,837,961,215,658,361,989,320,982,802,706,724,884,811,
975,225,426,864,755,849,422,112,317,328,899,674,587,259,726,835,848,681,679,
183,675,004,624,750,569,343,262,941,719,712,939,198,929,730,995,122,215,461,
463,293,947,248,377,680,296,988,990,041,749,182,076,627,110,142,417,072,283,
675,039,515,456,356,710,890,841,032,100,341,456,598,370,623,305,823,517,547,
632,539,128,398,281,300,283,097,269,774,644,600,954,932,131,104,244,329,835,
875,529,504,921,186,512,934,213,495,796,114,993,425,076,507,265,767,139,386,
070,939,783,251,892,693,474,077,312,184,361,432,395,888,462,910,570,192,895,
395,036,232,647,507,983,462,902,410,782,677,077,261,020,971,309,288,087,199,
398,644,177,428,168,966,247,866,924,948,207,249,005,268,085,311,336,013,202,
402,019,711,495,913,156,652,261,929,378,326,666,373,748,887,583,026,668,538,
112,127,721,301,456,746,260,828,770,063,778,766,187,516,658,973,161,207,182,
938,159,050,456,783,259,909,578,553,523,617,625,940,916,342,682,443,868,836,
855,908,279,848,589,094,910,118,878,743,695,430,511,927,615,603,682,122,995,
230,745,016,553,281,818,458,393,783,613,624,331,634,292,196,155,029,268,084,
090,519,338,407,992,277,286,393,462,140,398,663,401,097,642,672,431,433,238,
429,708,387,431,479,228,286,290,837,970,880,346,925,018,227,152,193,135,050,
906,656,381,306,096,780,843,654,886,488,020,819,150,826,289,866,933,742,288,
361,557,734,700,458,651,217,043,291,881,405,506,124,281,154,994,526,328,126,
838,415,083,807,370,213,183,467,503,635,563,113,548,650,816,310,909,160,097,
355,049,533,173,038,114,663,057,970,119,094,986,505,673,380,144,372,595,462,
993,650,642,565,919,192,446,819,354,703,818,060,161,211,440,981,558,041,370,
252,109,444,062,047,158,031,354,189,664,145,447,120,989,955,971,975,775,455,
603,079,870,381,783,565,393,870,164,303,513,297,782,223,343,045,340,542,189,
773,697,852,550,632,733,135,116,762,048,779,238,650,679,513,942,639,199,993,
896,530,958,587,173,769,798,922,056,080,802,034,763,511,524,280,100,295,625,
609,609,446,210,272,322,746,343,787,617,018,175,481,450,067,092,416,960,547,
468,211,035,754,452,633,096,454,682,351,791,868,672,665,689,580,153,588,497,
591,708,245,702,656,775,288,505,663,889,055,380,951,378,956,689,667,418,670,
390,461,049,708,217,479,418,305,879,820,979,432,877,947,757,326,279,635,648,
045,314,564,025,898,950,752,523,354,435,676,234,147,728,015,769,525,759,144,
675,803,080,025,130,868,773,600,331,729,472,854,474,872,238,181,834,182,859,
931,642,602,620,665,642,688,311,788,203,693,415,573,259,012,392,159,320,527,
841,853,440,808,872,798,902,271,051,050,591,069,900,196,344,430,307,641,418,
237,137,728,494,458,582,731,572,250,348,297,254,317,097,781,966,722,250,437,
340,804,814,011,490,080,318,164,827,664,116,776,497,543,568,672,927,640,959,
678,062,551,120,800,370,250,999,543,905,436,660,395,704,561,225,849,980,660,
586,775,597,149,802,039,115,616,451,923,339,510,826,548,080,987,704,103,747,
278,979,668,931,710,904,147,896,225,222,146,739,184,875,621,590,205,788,541,
545,060,566,367,823,049,966,565,894,482,386,607,004,377,538,813,659,253,414,
641,266,888,616,430,076,451,462,628,986,677,846,757,945,281,011,522,774,424,
602,528,362,564,915,441,320,460,434,813,901,622,584,696,601,083,163,398,191,
799,684,774,853,318,884,970,873,018,199,166,148,907,310,155,306,687,423,572,
294,747,913,308,427,994,730,838,793,715,193,516,769,658,815,199,817,642,624,
015,256,674,376,495,568,975,199,845,246,634,897,536,137,651,421,472,466,001,
370,897,722,876,165,726,347,066,984,825,676,061,202,427,706,815,919,291,008,
452,419,332,683,901,577,946,647,791,050,307,312,631,117,599,609,726,161,328,
417,019,707,721,832,230,756,779,044,772,098,467,376,554,258,462,425,991,360,
065,197,265,060,852,767,854,077,373,538,224,631,486,982,062,816,785,176,346,
411,798,685,115,000,988,794,618,035,675,740,048,392,138,515,093,412,478,713,
708,288,285,738,702,967,976,888,977,210,307,101,421,839,496,003,019,643,067,
516,577,702,052,951,604,158,378,284,617,015,355,323,629,281,135,395,204,873,
685,885,459,442,202,235,718,841,489,141,086,759,497,353,437,543,854,472,864,
212,795,229,486,124,141,964,933,927,781,048,751,844,899,968,453,313,288,578,
532,332,781,849,557,050,898,987,129,387,166,593,232,542,025,075,231,940,233,
721,542,406,631,033,521,688,839,626,954,622,595,943,306,761,679,401,520,348,
111,031,928,671,744,262,451,954,290,794,186,453,756,415,608,061,892,970,796,
490,879,792,453,379,760,230,056,583,175,780,313,015,402,051,770,673,871,005,
757,189,342,889,480,307,612,609,024,283,015,818,469,509,030,634,511,650,763,
052,510,007,845,413,371,422,744,789,599,993,436,986,458,706,915,990,065,131,
523,893,698,109,202,215,417,575,554,241,900,694,038,049,617,078,841,104,168,
991,878,196,693,243,716,209,791,244,199,737,841,390,099,019,925,243,148,280,
380,448,076,249,411,284,114,892,067,701,633,023,094,973,769,018,385,747,221,
426,218,648,682,849,878,123,018,047,461,012,112,591,907,260,569,289,193,786,
466,390,941,750,894,915,743,789,035,230,969,505,725,659,965,069,112,599,815,
934,341,095,760,023,231,802,234,434,373,769,673,663,797,873,522,435,817,407,
961,873,969,188,341,288,695,158,349,762,451,032,688,399,280,228,423,299,603,
827,583,286,709,907,931,225,091,394,883,480,114,315,246,142,570,926,868,048,
222,452,996,886,528,609,117,042,147,653,406,070,457,201,572,762,130,059,512,
295,099,844,423,282,030,646,173,174,981,026,712,992,396,093,540,893,028,027,
736,382,983,884,367,968,586,356,446,837,664,371,691,862,097,454,930,041,593,
801,544,150,992,924,185,681,322,078,910,517,038,702,800,661,322,109,339,705,
164,170,840,028,497,384,046,253,532,802,633,245,190,606,120,491,662,022,915,
745,670,065,293,555,698,786,143,570,531,598,683,772,354,706,389,111,729,824,
498,000,419,889,991,567,132,137,496,060,078,325,309,686,920,089,139,823,587,
940,136,807,883,631,257,544,515,714,571,959,944,307,900,831,857,043,119,015,
229,641,337,904,260,712,110,456,232,261,780,101,282,348,207,626,882,666,881,
061,523,066,979,894,893,874,096,692,605,727,398,302,588,587,772,158,510,166,
061,241,663,877,853,021,531,744,598,753,773,715,880,953,268,146,768,185,994,
702,504,777,331,639,767,889,970,373,523,630,554,533,224,654,519,833,226,730,
415,510,997,706,803,234,812,987,651,984,034,216,073,914,434,397,188,364,315,
597,374,406,085,154,242,789,957,939,435,046,763,217,192,418,884,457,286,467,
487,634,787,478,770,139,846,746,856,709,908,982,872,502,150,355,588,519,526,
902,031,339,374,876,344,674,930,229,633,458,408,451,540,907,985,431,921,212,
110,731,736,446,024,117,290,896,152,465,963,919,961,507,110,337,621,174,354,
681,119,441,806,242,542,530,043,121,651,400,462,084,082,640,443,077,656,786,
359,688,664,662,963,158,695,589,922,127,822,214,515,155,545,514,237,350,467,
234,104,516,946,026,375,539,557,679,658,894,550,073,859,287,430,216,734,638,
589,980,412,749,734,655,124,403,371,385,875,924,145,077,128,481,879,476,066,
213,886,032,183,288,569,605,151,323,277,240,161,678,467,118,966,199,273,552,
398,431,487,837,724,612,482,856,877,894,545,337,759,709,917,456,243,518,453,
140,564,091,782,811,477,307,469,006,152,725,819,756,717,498,647,532,416,195,
846,460,077,486,732,011,087,473,057,649,532,109,210,328,466,063,086,216,039,
780,515,075,765,405,326,568,333,386,932,645,215,091,214,376,092,018,377,253,
967,628,483,045,915,117,036,988,021,688,351,265,089,950,875,505,629,689,003,
367,359,040,655,236,003,880,880,220,416,805,887,799,528,371,682,872,797,258,
878,390,344,015,072,872,235,001,205,973,967,947,398,430,128,204,312,187,960,
126,743,545,771,561,372,509,427,479,183,980,692,405,721,036,788,058,180,997,
541,736,490,977,460,245,706,164,856,198,789,170,828,249,032,244,481,488,656,
451,889,974,913,974,106,132,058,533,262,037,401,282,645,696,106,025,981,837,
790,565,781,389,609,068,704,915,907,493,530,389,881,948,104,994,819,054,925,
555,113,075,095,567,275,946,358,833,209,297,074,533,487,531,190,864,577,851,
172,165,351,258,113,267,234,268,892,985,548,936,419,960,092,901,227,848,821,
600,706,116,166,813,052,359,371,935,031,705,578,253,301,225,050,153,535,900,
611,810,863,596,688,583,592,744,490,934,209,681,904,382,665,883,579,873,407,
380,642,150,399,503,866,462,066,607,085,132,267,970,841,207,534,386,766,794,
144,752,287,595,636,661,334,074,260,102,844,854,620,117,093,905,386,485,583,
521,305,999,544,458,766,005,868,683,217,335,131,813,069,420,510,446,145,219,
505,411,796,043,589,277,103,337,488,376,067,589,525,428,408,730,431,290,812,
738,040,424,582,674,007,044,159,051,310,731,936,590,925,223,090,810,642,023,
960,496,117,132,063,649,718,616,676,866,514,120,769,920,064,347,456,919,024,
407,581,769,601,270,873,940,360,457,080,670,409,795,977,638,452,911,274,621,
311,523,371,147,826,222,891,863,910,456,636,273,185,099,372,198,625,383,629,
978,757,947,260,162,965,814,080,137,519,252,697,213,553,297,524,795,675,110,
973,368,680,934,931,704,771,673,153,435,585,811,951,564,289,298,699,448,629,
479,825,207,272,412,558,337,007,395,852,569,151,919,889,415,203,647,433,280,
671,813,790,554,448,882,512,540,132,924,125,223,392,033,249,333,917,122,506,
895,551,559,715,674,607,005,995,808,508,384,795,367,573,732,391,804,841,762,
612,007,180,859,045,077,583,832,037,379,287,249,897,707,129,944,028,948,198,
578,395,362,177,764,540,783,870,787,712,235,412,684,907,137,989,234,407,123,
593,906,900,082,383,788,176,286,391,819,466,371,540,146,897,769,129,746,473,
756,814,849,074,489,895,309,065,457,806,295,615,420,908,678,898,776,265,838,
144,927,085,611,306,708,275,518,641,694,568,858,654,734,517,493,951,445,694,
944,494,698,128,515,646,077,934,953,218,404,192,167,592,936,564,453,404,776,
382,380,627,717,409,521,202,687,364,393,210,447,028,044,247,959,332,765,683,
644,744,247,433,894,080,597,492,652,042,903,957,643,089,037,317,184,005,910,
808,534,805,966,986,567,824,914,175,358,969,005,353,085,853,585,960,625,564,
318,494,787,900,887,410,263,313,837,163,577,275,756,109,271,693,533,943,966,
420,166,722,944,748,760,539,405,948,710,243,270,745,236,041,739,841,343,545,
199,181,416,275,937,443,870,615,821,421,124,844,332,671,112,792,626,366,064,
664,483,164,229,605,507,060,370,292,806,799,080,361,265,924,967,668,075,257,
371,943,590,089,690,641,440,255,166,762,378,902,110,887,699,290,925,749,100,
937,441,484,955,393,607,051,898,509,623,534,087,023,393,924,550,882,932,329,
551,252,074,003,453,689,118,461,450,516,788,921,845,393,758,909,428,649,838,
875,005,808,202,763,361,010,992,202,593,883,015,708,992,928,051,139,607,167,
148,267,781,703,014,335,998,139,325,066,585,378,013,481,824,275,840,534,292,
305,647,137,498,937,476,758,712,255,393,142,482,712,550,442,534,452,231,117,
011,134,975,562,257,352,232,952,372,793,123,153,464,999,875,407,272,099,238,
995,945,946,488,114,275,786,768,316,050,684,635,022,611,374,090,187,531,964,
973,315,652,293,115,672,569,833,832,544,567,555,317,985,370,898,982,252,594,
542,140,753,989,858,298,499,762,386,340,126,621,188,909,644,766,682,182,827,
814,166,423,080,247,709,845,916,835,786,635,570,311,598,258,710,563,079,507,
808,521,226,051,569,661,745,549,395,323,501,772,457,014,194,198,119,306,353,
020,027,442,800,700,603,888,376,842,282,781,126,109,626,809,993,683,613,563,
870,434,688,595,494,939,093,972,376,893,495,938,149,225,208,831,097,697,852,
886,152,882,319,458,114,747,375,507,382,006,384,573,367,888,863,341,230,845,
175,846,507,841,423,858,758,955,319,091,121,455,811,669,837,865,468,594,484,
845,684,612,489,115,120,024,053,729,403,438,370,968,791,325,220,076,598,768,
729,116,378,939,576,725,525,621,812,165,913,388,588,539,595,421,312,309,329,
645,899,226,204,695,047,461,355,397,407,803,584,570,691,473,429,710,114,767,
788,051,452,428,353,363,432,112,413,640,467,773,497,091,485,070,251,247,826,
690,917,981,949,495,927,594,672,839,104,156,383,764,962,903,623,883,955,290,
181,546,847,989,185,864,689,327,256,490,901,909,649,277,063,361,352,839,782,
799,450,588,576,505,296,457,955,483,254,067,587,246,447,444,616,421,639,308,
838,363,769,920,322,479,401,461,696,233,305,019,773,740,876,258,780,506,871,
440,223,538,100,174,439,824,812,404,080,733,993,170,254,070,099,448,025,590,
124,823,184,626,741,556,625,604,928,632,505,045,316,698,936,298,169,402,627,
591,247,920,000,951,619,853,089,585,801,896,535,469,005,568,675,628,349,273,
195,116,054,852,362,426,708,255,187,315,980,975,685,321,181,355,302,989,516,
504,560,316,828,833,560,969,976,576,102,065,218,602,033,175,897,408,347,780,
988,052,509,961,383,853,212,102,877,388,526,542,411,850,747,011,565,801,981,
723,439,909,398,198,635,104,584,992,728,342,438,047,550,153,298,255,227,822,
280,655,942,578,504,812,412,108,730,986,555,296,531,918,453,638,963,848,252,
078,454,292,814,614,519,190,071,127,622,327,390,988,900,214,615,128,862,913,
851,754,984,815,024,946,999,942,323,601,022,987,635,577,349,842,568,555,020,
257,031,345,288,910,483,904,866,448,943,130,639,619,402,338,388,785,975,527,
209,047,888,087,548,159,363,879,491,088,941,595,655,597,658,671,291,897,739,
839,974,398,502,094,877,217,559,043,735,836,042,337,589,587,412,322,031,317,
529,054,152,355,598,344,403,207,238,330,200,388,139,932,544,222,909,336,892,
416,755,906,794,782,049,461,833,986,229,083,877,814,409,826,275,491,294,302,
874,021,355,356,376,346,703,828,967,557,109,442,621,929,993,154,937,415,136,
401,038,034,110,864,340,196,894,881,929,479,458,650,329,901,446,336,094,063,
074,111,680,678,932,673,544,326,211,608,090,109,193,712,934,901,148,422,576,
767,974,300,713,227,693,337,380,249,974,597,605,113,030,429,536,553,604,212,
929,732,232,751,472,444,689,188,228,854,633,312,212,238,773,658,273,370,614,
245,895,078,110,556,567,083,696,589,786,991,931,369,915,343,956,654,945,940,
635,383,701,440,700,492,992,094,120,618,354,456,111,098,311,246,210,195,858,
623,395,240,793,780,644,885,700,203,197,992,567,471,659,455,718,938,246,799,
443,519,805,717,710,090,931,770,218,826,435,200,837,282,915,689,157,054,587,
544,926,674,136,379,077,742,855,697,632,278,579,674,850,628,664,939,334,238,
737,852,489,699,071,094,412,017,299,748,654,057,869,528,382,196,136,690,152,
346,731,023,262,605,613,653,314,731,553,070,113,624,133,524,367,714,643,859,
498,395,536,553,941,944,168,856,744,537,265,888,860,600,641,646,027,881,653,
809,030,576,992,355,516,096,692,942,389,130,064,302,601,957,032,570,814,973,
785,732,945,908,732,597,939,701,671,219,420,348,124,972,961,620,401,528,287,
300,596,102,518,810,254,107,388,180,961,299,358,977,955,209,897,685,083,260,
239,145,523,685,779,422,578,220,072,522,112,240,246,508,699,511,709,844,169,
437,296,486,429,667,963,094,287,815,095,417,891,251,920,401,673,583,651,896,
340,166,520,794,041,676,334,923,638,261,860,566,934,146,729,266,438,161,455,
209,939,315,564,994,495,690,372,967,246,366,683,410,364,583,146,434,969,877,
683,589,906,628,461,357,558,945,597,379,837,754,641,220,307,812,305,475,938,
933,539,453,445,401,465,359,617,213,642,093,301,644,764,766,624,398,211,142,
160,715,847,219,053,659,443,224,468,032,979,841,661,175,852,463,253,902,675,
752,920,689,483,042,091,574,468,265,970,413,673,306,612,562,634,092,580,090,
714,545,582,251,582,994,602,152,994,095,655,051,740,800,137,715,082,001,858,
148,748,068,108,313,687,613,475,238,122,406,000,761,884,004,245,719,792,393,
729,744,061,453,661,665,186,386,869,892,799,351,392,860,409,606,832,491,160,
359,794,307,425,048,758,122,273,923,593,732,619,308,795,951,122,531,144,553,
925,643,202,172,925,274,492,417,942,713,029,182,728,487,501,213,456,860,488,
149,140,948,079,629,417,590,081,587,062,064,531,556,049,022,280,469,322,003,
736,905,173,426,394,741,290,359,707,377,076,774,819,614,740,309,805,125,269,
471,374,949,493,049,579,660,712,924,220,114,385,751,392,558,833,424,803,753,
580,561,399,800,905,318,530,750,058,005,048,265,819,304,801,902,578,976,977,
803,771,326,375,422,592,962,491,075,791,152,307,851,422,411,762,806,628,914,
079,674,573,413,810,391,636,940,111,377,872,378,884,074,885,530,238,235,009,
936,888,494,457,373,052,310,588,335,364,834,652,141,557,792,821,039,379,939,
673,312,477,448,825,021,546,634,998,559,896,723,561,043,744,992,488,438,643,
354,093,212,057,555,191,639,477,753,143,499,970,538,576,315,511,857,553,791,
387,890,746,752,186,292,583,196,974,089,885,805,365,045,152,049,938,874,749,
863,119,674,195,005,094,440,591,043,169,638,776,356,633,775,016,915,467,445,
417,559,334,531,966,868,937,187,012,964,909,887,650,234,007,021,685,588,297,
261,866,380,617,391,931,742,618,363,937,998,724,844,349,457,614,355,941,400,
326,687,691,495,950,196,231,190,727,223,621,695,660,030,371,332,303,870,833,
309,422,427,103,584,278,238,595,242,053,658,159,209,072,177,470,271,667,833,
572,145,965,439,156,958,284,882,437,895,949,685,697,583,825,296,404,445,534,
546,578,810,715,424,377,859,045,568,765,850,277,300,612,809,520,486,034,567,
405,730,269,740,775,553,249,069,954,471,646,511,757,472,506,328,864,382,364,
527,237,743,813,700,676,708,287,026,197,334,379,158,998,419,861,940,357,788,
185,614,640,145,968,102,828,585,952,774,983,300,392,764,207,732,833,174,426,
598,348,597,090,499,246,558,284,393,145,239,302,504,449,589,569,613,694,424,
570,287,977,107,021,864,387,518,021,402,337,242,689,653,497,683,604,703,602,
548,301,311,899,748,086,313,590,097,252,086,622,111,435,769,021,408,240,266,
269,086,086,376,701,549,018,615,354,104,681,648,179,555,550,227,372,751,155,
317,942,395,600,133,484,451,410,411,542,767,957,353,442,849,184,066,159,267,
270,774,683,179,624,378,619,535,929,638,425,180,514,920,969,596,876,499,002,
488,491,913,460,475,442,215,395,055,204,818,049,805,145,055,723,621,723,055,
919,791,910,081,819,310,905,273,563,422,989,642,392,955,551,621,895,857,081,
950,831,972,102,904,903,410,385,286,058,164,071,510,087,144,635,964,447,505,
540,838,371,063,181,540,784,158,698,967,980,640,608,463,003,772,975,656,632,
991,126,725,108,635,175,304,984,997,472,581,737,985,795,657,460,619,836,807,
242,868,084,139,677,646,670,715,920,682,910,280,584,897,084,302,459,529,139,
055,511,547,253,611,929,117,642,984,480,937,477,335,200,013,892,152,455,542,
400,648,394,920,671,929,761,731,507,298,223,305,921,286,496,141,079,601,715,
145,969,954,371,098,060,728,700,620,928,701,373,514,879,909,300,655,456,966,
218,391,458,673,967,367,297,256,183,693,030,386,468,982,107,569,993,078,496,
323,823,559,070,047,317,020,936,514,707,182,829,768,155,021,150,362,227,133,
412,162,069,510,346,436,629,827,262,693,368,196,873,394,628,686,877,722,717,
608,346,215,643,038,938,200,231,030,086,185,118,264,095,479,303,821,421,744,
798,642,054,141,989,107,159,476,924,482,353,265,963,951,949,224,863,007,010,
471,938,555,826,949,699,660,976,213,051,147,841,673,875,050,329,210,694,628,
276,604,723,824,990,590,968,679,243,176,741,035,147,350,481,296,025,558,777,
090,291,709,640,185,575,704,925,202,041,226,367,383,180,175,868,568,555,780,
804,814,487,340,554,279,184,716,544,277,590,961,867,703,290,093,953,904,764,
038,808,531,038,678,505,055,347,458,674,329,030,354,424,825,410,677,097,823,
969,985,141,762,182,603,637,834,147,364,689,341,253,363,272,301,019,826,099,
244,366,503,073,160,443,275,463,673,730,396,454,708,803,000,519,316,469,388,
649,087,403,882,414,240,947,968,790,557,378,267,696,088,537,769,236,720,577,
731,664,719,457,418,003,301,822,650,141,940,639,565,807,307,468,046,611,187,
476,880,628,071,745,853,015,653,629,241,196,716,209,629,795,081,394,000,737,
514,714,485,859,869,091,389,985,900,777,032,510,409,626,599,516,092,549,068,
199,417,896,937,993,813,463,836,287,338,581,092,139,264,738,626,025,503,113,
728,934,871,633,093,382,790,565,212,437,312,483,176,449,956,146,867,282,028,
046,747,454,824,034,171,569,580,841,421,980,474,444,119,756,088,871,073,851,
904,870,503,652,665,937,355,745,383,692,794,038,619,414,978,314,932,326,763,
867,182,795,419,482,380,990,387,123,771,541,783,867,164,328,555,035,175,926,
400,813,227,565,576,849,229,831,985,599,033,198,290,786,943,534,198,635,611,
281,747,221,915,799,289,301,091,135,132,385,501,981,681,072,002,231,450,959,
242,909,529,131,119,072,986,710,803,695,794,935,099,998,479,144,172,203,831,
933,666,152,600,043,157,677,036,781,345,651,766,211,786,566,981,306,735,331,
225,915,304,125,382,674,380,298,300,785,063,515,956,248,032,951,312,599,799,
522,269,040,291,754,252,554,509,711,657,729,059,502,312,768,076,669,480,527,
556,318,466,289,217,856,103,205,234,124,447,185,581,541,152,228,310,277,564,
267,452,099,413,199,936,406,001,011,074,008,733,894,036,778,836,036,035,680,
789,574,104,764,911,988,920,916,767,903,679,026,607,587,633,816,344,509,967,
084,001,896,160,268,438,287,091,480,519,695,040,696,329,038,415,679,125,493,
053,278,949,460,319,982,839,568,160,671,143,303,489,098,235,746,428,785,805,
556,126,541,061,811,145,493,191,243,984,865,367,553,996,839,422,430,261,317,
897,499,104,499,121,642,724,489,875,644,582,971,907,928,465,584,050,992,781,
187,733,888,494,647,259,383,575,908,669,283,668,442,471,375,161,267,945,631,
989,198,206,076,907,425,289,441,207,435,825,112,539,926,309,156,697,111,564,
069,098,580,733,892,729,367,170,067,007,645,252,170,675,859,262,650,079,450,
931,754,881,009,235,881,317,457,675,973,267,608,162,996,535,127,348,882,694,
595,002,672,033,396,595,278,859,361,024,439,795,404,129,978,565,766,851,489,
561,684,642,359,235,421,529,655,219,997,387,315,480,010,937,139,131,444,316,
690,011,614,375,647,014,401,446,669,390,846,520,922,607,119,164,140,300,685,
117,263,815,797,347,367,714,857,382,286,422,123,062,683,224,346,500,303,347,
178,561,942,311,768,989,931,775,602,684,089,505,469,678,573,846,196,135,366,
514,400,486,160,813,822,459,434,001,678,449,784,938,671,525,001,534,466,638,
897,496,219,028,288,023,415,827,857,198,164,201,929,085,523,256,935,522,893,
573,605,310,949,382,607,662,518,956,801,406,241,652,280,339,147,180,766,292,
011,108,725,718,113,182,400,670,321,228,404,782,972,702,437,749,034,471,563,
817,262,324,950,278,907,765,175,343,469,737,985,737,780,554,428,141,326,954,
468,491,460,014,492,601,742,699,422,938,735,836,486,202,552,262,911,627,778,
329,404,902,025,367,574,944,269,696,935,261,760,495,767,857,116,368,489,194,
471,593,438,250,939,379,599,191,730,350,299,539,127,977,583,933,869,751,928,
793,212,971,711,320,945,564,036,130,102,984,812,274,445,510,857,658,818,451,
747,347,102,638,597,500,739,013,619,830,792,477,539,938,847,288,657,596,883,
425,081,961,025,838,117,522,600,928,553,430,190,069,567,794,981,903,853,943,
427,424,120,296,472,519,571,057,819,586,056,705,386,570,527,078,664,321,991,
035,094,868,883,299,315,537,554,522,338,561,728,968,632,478,489,780,626,795,
367,992,934,556,463,445,865,434,666,653,880,242,792,751,725,759,320,981,916,
763,273,941,349,297,394,500,594,492,256,473,871,138,287,358,503,900,528,698,
678,405,965,222,885,254,849,264,343,218,626,877,772,340,791,101,952,614,623,
602,537,312,086,995,604,854,166,512,686,954,018,493,778,763,041,456,371,722,
263,254,667,152,336,372,046,299,993,602,327,873,070,008,591,872,685,162,119,
674,407,457,751,237,094,574,353,452,136,474,402,232,129,265,628,350,690,514,
154,172,986,521,880,617,970,401,319,694,559,520,417,488,349,467,735,291,291,
260,339,542,302,539,718,308,754,245,142,075,409,300,797,722,088,619,954,000,
670,170,052,269,692,625,990,549,530,550,009,620,136,057,521,070,101,681,172,
024,131,935,055,500,668,586,746,034,907,704,515,188,470,562,316,467,230,079,
976,597,469,462,341,348,189,567,401,873,645,010,269,843,485,777,816,275,038,
311,776,568,954,429,918,616,073,231,003,339,102,282,223,903,380,827,472,162,
797,758,134,376,084,280,575,844,436,655,317,324,189,272,718,744,707,000,611,
441,073,259,603,877,657,019,771,915,788,170,254,003,387,848,445,665,862,430,
348,503,596,458,164,928,225,344,036,715,723,294,770,172,061,332,909,648,241,
681,574,733,089,977,339,842,423,567,499,380,073,709,887,520,058,584,061,086,
415,098,972,200,210,468,655,333,906,442,215,963,807,454,503,725,453,148,093,
258,635,639,945,016,486,482,341,451,075,619,961,107,292,062,895,694,910,732,
700,434,158,126,888,920,163,065,718,250,415,242,063,976,298,014,796,538,710,
433,191,997,366,911,048,446,063,472,112,113,250,834,610,308,293,392,845,538,
701,359,588,348,273,281,358,713,879,440,465,353,866,961,559,452,497,739,169,
697,202,434,967,701,918,869,096,169,951,685,108,506,090,897,590,641,413,129,
146,299,479,054,734,916,174,534,412,675,637,969,212,851,955,380,938,985,207,
212,510,586,001,417,712,544,136,340,962,015,868,085,668,779,380,958,599,341,
390,598,454,090,696,118,832,837,444,992,711,592,504,389,781,388,925,164,996,
955,485,984,070,277,968,851,591,424,133,009,566,258,443,499,493,229,533,410,
840,522,842,057,316,110,576,525,066,898,423,583,732,260,819,039,956,881,146,
616,857,382,011,377,766,000,359,956,544,668,900,969,108,901,608,692,684,120,
141,229,724,182,539,768,996,604,597,004,088,393,320,942,507,755,640,218,716,
792,319,694,200,544,199,367,920,387,251,250,992,507,690,716,057,119,926,625,
343,708,715,040,090,982,880,199,320,901,611,125,064,163,975,975,679,413,276,
872,356,913,970,538,093,959,989,831,882,435,589,576,340,780,633,661,003,332,
702,719,545,796,761,148,859,511,827,535,311,591,074,298,616,582,825,071,808,
806,934,452,499,676,762,317,994,742,430,848,896,643,122,852,207,234,184,193,
371,980,406,291,751,550,561,614,013,026,708,795,450,180,133,500,681,658,803,
383,723,745,769,280,201,982,743,127,394,298,302,558,577,407,317,818,870,398,
859,291,311,139,251,685,848,039,638,336,171,178,263,761,359,187,423,062,621,
844,412,876,165,764,960,643,558,635,093,528,350,974,609,419,380,767,898,492,
940,047,132,344,870,297,676,378,102,187,517,707,349,246,714,930,878,354,010,
049,139,695,265,672,586,875,131,535,501,156,149,538,648,674,886,430,798,167,
321,698,690,127,466,352,746,029,657,770,617,375,703,877,672,764,390,079,434,
527,283,419,288,066,974,717,265,668,474,214,974,410,000,093,486,926,922,180,
049,554,091,189,876,807,405,920,728,651,456,662,900,622,190,829,360,240,256,
094,987,417,785,598,934,081,537,900,663,153,528,297,415,981,866,152,470,438,
466,078,781,238,017,368,842,266,937,995,849,038,711,883,265,408,055,989,826,
803,221,078,451,875,149,196,147,906,674,707,486,105,114,407,074,859,600,615,
052,677,006,086,002,206,011,114,104,158,739,852,229,727,358,758,408,873,500,
550,319,195,500,727,469,191,752,876,875,239,134,269,473,315,736,013,726,532,
384,735,748,183,743,236,232,752,076,019,664,129,311,484,920,065,643,452,819,
562,518,897,392,866,947,514,944,495,694,521,961,225,703,746,084,696,404,067,
434,608,046,794,415,745,280,307,753,305,186,471,864,679,861,202,190,238,277,
390,174,119,874,008,948,703,665,716,100,626,128,675,952,323,299,909,480,219,
298,240,980,401,196,459,694,792,285,771,569,787,444,832,081,023,505,960,986,
232,105,712,724,686,355,621,989,566,030,043,942,140,443,722,841,189,708,602,
080,731,832,859,838,336,892,427,144,489,872,091,233,208,007,083,465,933,116,
532,447,644,938,138,128,827,823,726,977,915,066,572,702,327,928,844,100,798,
292,386,327,626,074,180,302,068,680,965,411,774,664,087,671,732,522,618,913,
709,155,987,754,478,525,821,373,420,615,235,754,731,561,698,343,166,018,595,
702,312,559,318,002,952,476,055,976,267,345,719,336,279,364,768,989,352,134,
833,691,252,109,198,622,716,938,746,390,939,038,372,687,316,750,329,042,898,
461,568,703,860,457,423,372,201,464,980,568,951,434,432,279,020,320,062,618,
800,278,659,617,390,566,109,816,062,014,475,857,946,029,848,846,155,756,547,
878,114,331,623,067,502,138,939,500,565,932,154,909,010,085,757,479,893,240,
606,138,245,838,308,841,141,103,138,135,756,757,913,565,673,059,028,965,360,
852,114,583,706,491,669,701,401,918,798,316,745,714,132,677,169,060,873,565,
975,722,105,785,169,927,704,496,254,599,494,304,776,638,962,000,130,203,378,
109,735,240,636,153,824,433,142,400,094,019,600,699,704,640,247,028,239,919,
261,679,188,722,736,955,551,557,869,102,940,263,752,361,908,834,534,836,554,
712,191,845,672,735,332,130,144,678,588,289,010,733,491,552,295,935,120,379,
467,638,312,151,889,607,743,977,411,358,232,585,273,431,648,250,655,781,859,
734,124,886,066,828,922,757,346,495,652,912,362,716,003,752,166,456,681,206,
648,817,531,384,302,139,180,036,883,912,248,705,897,333,514,260,787,962,073,
510,560,631,518,463,972,895,283,186,976,248,101,326,598,625,286,006,721,188,
164,522,756,342,585,462,609,127,743,629,610,448,646,484,452,823,005,057,415,
613,410,049,902,701,916,652,831,667,390,548,340,111,644,387,618,894,134,195,
018,244,348,409,746,371,574,898,574,808,621,267,662,270,507,891,305,828,622,
711,812,759,534,812,683,325,226,171,656,332,762,472,382,779,753,918,667,104,
548,825,956,183,771,439,005,036,764,053,781,996,642,944,312,482,931,918,903,
873,375,158,479,534,286,066,752,453,985,338,253,198,966,383,651,880,961,892,
621,551,390,782,256,169,171,014,046,128,140,788,580,414,062,085,427,040,130,
904,823,809,958,315,020,950,369,807,075,192,322,619,816,785,279,651,221,591,
032,485,355,912,238,417,016,996,562,108,652,621,244,209,177,518,699,738,995,
068,299,228,682,001,490,127,474,690,517,267,336,171,447,212,918,864,671,964,
790,425,549,218,832,350,387,041,606,556,595,583,931,253,322,511,642,559,272,
272,403,011,634,952,808,878,854,992,171,560,124,676,133,863,352,280,878,210,
621,258,109,147,685,179,658,402,483,578,087,310,115,895,708,345,664,253,112,
811,395,316,973,698,950,998,737,983,092,570,559,332,881,072,783,212,577,382,
796,580,502,513,499,735,376,028,850,592,378,875,493,245,204,076,142,564,511,
102,017,230,544,788,395,369,369,643,087,269,240,967,418,777,231,526,207,507,
899,436,071,912,036,895,556,127,549,145,691,389,860,271,933,469,675,864,115,
186,668,893,175,513,988,272,955,368,123,675,168,091,861,462,190,438,887,758,
816,187,709,739,431,171,933,558,018,362,491,124,274,455,498,845,313,691,604,
629,056,150,992,784,575,906,271,609,634,789,885,024,904,624,532,393,491,649,
536,120,572,929,412,314,560,419,894,748,528,115,449,866,462,702,756,393,482,
851,441,727,715,791,252,796,351,988,812,209,015,807,376,530,926,229,021,267,
524,043,193,829,802,510,626,502,093,940,505,844,743,454,706,810,196,250,384,
441,821,305,769,601,975,667,126,099,204,080,844,292,251,070,764,562,103,523,
029,268,153,480,136,938,717,303,246,481,356,056,807,773,415,223,830,910,600,
996,231,843,877,176,050,408,639,426,315,748,597,047,206,636,923,407,712,621,
158,387,074,042,273,451,907,951,488,278,717,576,455,208,701,849,690,849,233,
225,526,299,870,989,495,816,695,688,500,735,483,228,195,967,964,631,200,301,
947,296,347,930,170,053,192,208,915,851,837,461,048,655,051,949,874,942,517,
071,916,498,406,067,160,541,977,315,224,038,228,448,320,535,355,380,500,781,
364,501,875,715,297,718,383,793,173,995,567,240,300,618,620,943,151,870,810,
538,055,726,279,822,672,410,654,555,475,920,320,447,495,077,045,668,408,546,
609,313,688,495,795,205,960,814,597,066,116,718,647,262,424,586,789,200,758,
143,665,248,771,094,594,698,977,613,689,690,323,247,376,921,176,272,580,095,
003,471,033,358,526,220,149,120,997,825,628,203,033,629,216,454,085,104,399,
842,166,849,024,037,838,691,902,357,927,653,564,546,132,936,255,758,175,495,
901,050,189,563,835,181,138,087,050,650,308,435,141,257,146,599,291,246,159,
728,914,283,801,334,836,592,703,387,956,296,174,575,398,166,856,694,176,384,
074,437,687,174,989,991,398,663,990,578,779,244,260,998,384,640,964,008,070,
043,114,009,292,380,750,994,966,295,822,919,775,369,259,334,017,762,058,474,
558,053,214,980,482,606,197,458,454,027,247,587,975,627,966,339,608,262,146,
618,689,314,256,341,234,313,231,627,250,530,881,158,695,279,584,856,236,916,
161,663,465,901,296,439,141,831,768,181,589,788,426,942,594,524,133,961,876,
237,424,372,000,874,730,750,232,568,376,819,411,858,803,498,041,456,703,686,
337,225,252,122,758,641,935,059,931,184,724,212,122,016,097,851,063,169,152,
882,206,022,751,113,208,877,997,499,450,653,564,117,530,405,170,261,292,049,
840,008,847,180,588,358,480,461,610,529,837,440,818,166,351,651,063,028,650,
757,591,745,438,004,589,990,303,823,285,273,341,611,052,822,733,594,953,105,
000,689,630,104,814,922,588,408,663,584,574,942,903,644,748,661,666,034,912,
408,959,361,756,016,343,150,983,002,832,285,116,882,788,722,806,689,703,288,
791,100,107,185,582,264,099,036,039,266,308,863,925,635,469,119,965,921,568,
928,915,408,232,370,978,360,646,480,818,858,907,154,344,160,111,854,424,888,
803,766,531,270,016,969,599,078,749,083,504,001,270,911,190,736,712,093,729,
773,154,441,443,324,431,759,041,588,875,941,100,785,921,572,701,834,416,656,
334,346,800,931,604,082,168,552,814,216,180,064,365,735,284,207,597,621,547,
991,268,338,403,770,095,790,264,850,301,232,873,258,479,098,049,951,593,989,
195,334,405,035,365,950,861,312,717,477,824,170,813,496,985,005,361,683,743,
322,890,854,176,410,116,750,582,317,447,000,639,524,467,995,662,497,321,907,
569,718,221,587,001,471,871,059,985,007,016,121,720,536,748,093,639,378,940,
517,957,143,871,540,508,426,315,457,494,996,218,516,323,096,152,283,035,106,
464,813,881,192,041,171,403,697,695,462,659,770,441,988,348,954,870,352,899,
182,831,550,285,228,616,066,225,370,320,727,885,812,660,756,570,915,516,364,
056,147,996,324,055,371,024,428,528,170,942,564,112,040,890,900,323,583,488,
380,594,698,212,568,150,299,548,310,675,312,102,632,502,923,361,501,511,927,
634,867,069,788,021,417,973,394,579,295,258,286,188,165,409,350,092,698,158,
021,775,459,560,945,275,263,129,809,258,843,230,414,384,713,324,012,230,938,
991,023,391,606,157,731,435,766,657,473,380,085,616,704,636,491,570,557,151,
502,671,079,681,474,142,141,850,220,430,004,010,015,742,044,919,748,310,578,
472,350,084,352,557,231,864,616,967,097,347,984,582,992,067,655,225,088,810,
701,530,762,361,383,309,799,421,573,735,477,628,915,371,773,351,358,867,298,
227,609,916,948,905,097,959,188,689,049,759,495,471,036,856,874,348,595,998,
818,217,933,991,912,376,266,237,302,246,243,541,038,122,008,333,064,771,105,
263,853,903,735,752,593,738,923,486,228,289,302,735,869,035,102,256,688,788,
704,635,580,093,823,571,158,977,316,752,908,201,714,698,436,672,172,845,528,
703,411,650,192,950,520,119,098,851,172,202,369,687,660,284,485,745,749,325,
593,862,914,250,650,251,914,524,404,128,307,791,581,991,693,941,102,515,767,
771,383,094,032,638,363,607,917,318,195,280,513,936,891,434,867,712,362,890,
103,032,843,920,123,971,075,299,119,012,469,362,963,698,654,907,143,167,178,
912,812,459,655,079,810,924,041,531,946,429,375,768,189,503,979,278,504,027,
741,811,879,149,326,289,955,828,534,126,400,169,979,492,812,985,808,042,799,
688,781,754,342,513,417,729,064,859,637,996,289,220,299,918,265,817,435,310,
010,406,535,346,769,164,175,122,605,719,823,606,959,645,638,953,052,905,450,
167,789,422,634,139,325,967,648,001,307,297,697,184,243,717,054,242,513,540,
482,165,186,870,874,272,957,934,153,757,293,008,687,158,498,106,444,056,997,
044,284,240,815,268,821,788,071,556,962,354,080,542,306,986,352,184,650,165,
909,032,542,239,065,704,375,245,236,801,523,816,816,278,320,478,540,374,777,
134,765,711,820,407,276,924,036,806,927,172,424,473,296,055,696,303,961,750,
845,980,584,983,245,388,762,323,063,045,632,177,356,323,317,938,731,542,184,
428,331,128,245,225,042,783,631,421,409,185,967,224,775,586,075,660,702,081,
485,754,674,204,048,705,683,408,460,252,153,871,131,943,372,208,526,679,111,
315,330,016,376,486,419,190,716,193,099,115,169,134,940,186,221,964,948,328,
516,344,936,663,333,838,309,511,519,034,785,425,017,681,034,121,070,395,545,
297,283,317,281,829,327,780,784,176,198,903,838,984,371,176,116,137,175,201,
624,661,941,144,677,490,793,660,471,726,076,262,127,885,247,531,491,017,108,
174,585,845,538,406,540,559,638,989,718,001,566,092,208,126,269,887,993,747,
298,389,390,974,029,092,675,937,884,798,329,527,749,860,093,723,723,258,576,
444,812,214,828,121,090,141,207,931,763,624,925,926,752,256,645,908,873,339,
264,016,879,596,094,454,762,910,451,298,709,453,528,682,399,470,836,236,648,
152,533,021,066,859,982,559,527,473,339,167,561,752,685,488,552,827,156,598,
000,114,491,762,254,119,644,114,773,611,319,404,342,552,116,510,066,800,247,
585,217,806,298,995,773,273,209,720,522,489,251,224,028,594,587,669,578,160,
204,707,075,385,978,437,665,378,065,216,224,930,303,418,443,080,949,894,056,
119,840,138,477,537,138,815,695,301,088,090,936,820,011,354,491,428,222,495,
125,558,641,486,219,921,625,945,165,078,975,772,059,735,184,764,461,778,688,
725,616,408,154,021,686,426,472,609,555,367,496,472,852,067,913,123,938,995,
017,658,777,722,764,033,274,491,635,514,161,597,713,305,939,016,913,199,702,
694,751,288,720,373,199,779,604,414,281,996,232,908,185,902,162,318,443,827,
351,890,908,446,002,419,050,570,508,758,869,563,930,057,265,345,664,157,681,
234,807,691,431,941,662,557,537,488,050,539,401,944,548,648,423,179,630,121,
625,307,827,711,244,365,797,223,223,136,505,483,563,212,546,206,789,276,044,
438,089,122,398,750,087,499,106,555,515,507,964,667,806,556,127,495,211,070,
351,937,632,632,592,512,216,131,806,618,899,794,050,767,149,561,884,855,030,
657,922,881,931,478,760,506,806,695,495,187,417,279,565,404,447,202,369,004,
703,366,808,210,719,623,510,606,552,213,576,882,607,892,580,471,437,097,166,
375,532,171,834,373,986,230,806,441,974,097,872,838,484,741,503,455,471,399,
145,470,603,058,198,187,072,457,811,871,876,740,990,892,017,098,683,710,823,
989,031,068,777,650,474,486,461,640,516,664,923,903,318,010,791,915,552,897,
372,418,601,026,047,361,859,203,135,507,615,653,675,834,511,533,567,345,102,
056,631,246,703,791,859,182,236,768,799,291,708,684,792,601,113,025,165,001,
480,511,039,224,864,735,924,117,408,099,952,890,381,821,699,482,866,973,318,
350,645,622,867,352,799,463,299,227,556,602,097,961,415,990,157,466,109,330,
976,625,630,086,531,070,973,755,114,469,659,768,101,786,442,201,876,044,025,
996,243,863,411,171,436,015,504,968,062,828,220,706,311,703,296,176,398,428,
728,665,162,554,456,624,251,374,499,515,412,620,032,888,968,789,292,568,101,
950,017,487,720,358,430,932,679,085,799,852,195,704,691,653,045,150,596,752,
498,348,758,870,285,173,535,727,195,105,211,777,177,325,689,226,715,961,267,
357,202,808,075,303,802,608,719,266,514,487,365,800,732,397,739,277,930,794,
553,544,267,639,230,239,405,080,409,234,871,192,259,773,066,320,536,702,404,
622,110,218,977,011,844,506,276,273,392,780,801,517,688,089,647,558,004,950,
286,960,595,572,427,195,379,679,368,974,574,292,022,463,377,526,619,906,274,
087,045,841,921,007,359,468,077,722,875,424,513,735,430,343,249,362,895,753,
135,658,840,185,867,367,687,429,072,104,785,698,238,477,726,981,024,487,981,
405,341,067,527,260,482,257,220,299,451,113,939,360,826,760,802,816,552,251,
140,190,000,020,014,684,555,155,476,575,168,496,397,743,337,326,362,264,571,
229,391,656,887,936,611,631,140,129,116,200,679,461,090,019,387,415,738,574,
723,080,784,148,316,935,084,861,181,101,126,000,616,226,448,143,671,765,007,
410,844,674,729,173,278,487,309,236,712,857,061,407,773,334,358,304,263,999,
827,552,611,501,748,646,897,465,296,715,512,803,737,178,101,579,785,812,170,
225,445,920,977,274,143,378,714,738,821,183,090,840,746,825,985,489,775,757,
010,819,078,777,212,653,381,683,772,248,968,412,771,108,935,926,500,580,025,
073,778,073,282,357,761,914,941,819,681,562,485,502,020,063,889,950,035,066,
515,718,979,765,753,509,631,326,834,509,111,168,508,530,532,328,922,664,359,
915,070,377,606,992,691,667,194,049,763,733,882,198,045,610,074,857,738,787,
466,947,233,223,399,590,122,916,910,785,467,924,942,478,675,524,735,616,356,
474,067,246,070,842,614,630,225,913,077,722,624,970,291,802,693,051,104,048,
840,283,124,086,122,857,803,695,900,053,828,684,086,637,617,283,142,455,920,
508,316,066,876,498,499,054,397,960,783,631,972,381,981,453,970,908,779,282,
794,326,481,353,129,577,751,129,181,554,231,162,502,239,551,105,650,085,354,
027,802,931,991,951,218,676,054,079,388,448,624,869,547,699,857,939,781,768,
650,075,202,953,257,294,202,092,211,292,054,233,231,782,558,373,516,980,018,
320,036,556,892,970,961,337,785,063,950,516,693,367,333,889,446,766,763,404,
558,772,869,732,923,326,388,303,071,139,668,370,247,141,453,588,160,688,511,
028,016,500,350,315,933,987,604,702,319,646,703,504,870,165,218,041,761,820,
952,388,187,697,212,248,193,615,530,504,161,855,893,436,198,865,978,576,177,
927,027,021,636,151,830,111,338,502,208,957,696,062,615,721,606,706,620,821,
587,708,957,148,896,695,789,060,246,511,726,669,939,656,781,303,493,090,582,
133,714,226,474,086,872,496,099,552,352,844,502,862,284,178,098,965,420,489,
422,145,888,457,037,489,558,247,596,062,556,882,689,956,336,992,135,450,913,
142,937,985,442,589,763,881,746,516,959,131,454,896,226,657,911,154,053,619,
772,185,195,161,408,078,022,328,146,445,466,533,315,902,743,716,368,514,947,
176,119,501,263,535,462,205,324,711,739,542,439,625,971,475,647,533,229,626,
724,296,610,544,972,495,180,317,144,493,120,405,694,441,097,878,560,885,144,
391,072,575,828,054,790,580,943,913,344,261,348,943,593,379,948,630,553,974,
723,680,129,575,463,761,894,464,871,853,861,697,429,327,614,341,775,557,839,
741,626,708,654,410,751,405,896,439,125,967,307,639,425,729,575,411,026,778,
698,259,408,588,621,233,605,731,106,600,324,708,597,005,738,489,229,408,859,
858,782,347,068,396,230,282,888,776,125,821,968,108,129,380,529,190,965,827,
758,358,151,928,198,148,527,058,647,227,585,652,973,837,237,448,969,134,438,
895,446,891,170,978,030,970,897,737,420,200,919,512,528,651,237,820,210,843,
979,840,567,208,446,605,893,257,624,629,744,295,564,239,744,171,044,627,169,
279,324,277,717,524,514,401,819,797,447,450,241,113,567,201,529,874,207,346,
281,340,015,554,102,383,239,616,372,482,352,625,831,341,856,716,999,047,921,
545,681,439,402,365,544,403,006,630,841,532,993,889,635,825,806,678,954,587,
555,128,494,019,812,388,080,292,965,566,310,021,009,938,863,041,183,164,685,
297,204,478,226,190,956,697,964,392,468,238,835,306,912,684,818,780,688,449,
877,353,897,439,955,400,434,781,021,441,960,983,913,873,994,160,941,220,861,
352,385,092,781,456,069,382,998,333,105,341,179,125,382,741,861,301,400,109,
777,544,706,268,214,162,107,328,167,888,493,217,138,705,689,025,485,074,311,
412,442,467,861,006,311,497,849,524,874,515,214,148,603,807,716,662,283,601,
610,123,259,993,834,854,293,384,639,848,790,143,574,251,655,379,460,985,966,
030,672,577,248,759,383,554,649,578,698,039,007,473,468,407,724,408,721,716,
792,338,982,922,302,891,667,455,197,655,604,090,401,575,994,453,244,244,514,
981,527,590,820,207,167,580,609,409,726,598,405,123,202,979,011,481,228,941,
525,460,655,521,817,304,225,313,414,689,005,927,281,351,743,870,871,741,663,
947,768,645,432,645,079,774,033,454,959,594,412,945,778,546,171,928,615,418,
127,047,156,780,514,581,177,842,120,989,055,790,897,559,842,075,204,943,380,
403,693,805,630,232,981,315,383,700,973,254,696,955,456,591,262,880,414,348,
122,812,658,140,791,569,752,459,989,673,431,609,793,135,331,056,487,026,409,
897,946,622,821,887,662,038,320,626,227,955,936,285,603,411,335,040,495,350,
669,735,009,567,174,075,767,886,963,338,089,476,690,608,499,105,498,519,660,
454,299,648,886,040,487,730,059,965,176,887,221,443,741,514,080,976,045,787,
961,406,577,311,262,706,360,640,176,377,206,365,806,856,986,574,307,681,711,
079,582,642,275,707,065,558,990,989,475,316,589,975,133,347,761,382,650,823,
822,550,999,461,430,529,966,997,082,761,895,795,690,678,562,546,919,329,253,
722,238,176,355,396,354,865,766,286,877,329,590,275,115,818,802,907,304,353,
328,847,387,871,403,122,259,148,741,812,232,283,922,497,307,045,012,408,450,
308,620,424,822,908,454,321,530,148,560,027,814,078,844,015,426,370,965,740,
383,907,374,570,119,688,930,035,579,741,992,121,875,157,377,007,948,067,278,
704,145,263,713,222,435,824,834,184,402,760,773,027,322,070,201,378,041,409,
842,768,911,363,428,665,315,192,357,769,175,429,250,520,280,803,458,033,268,
725,795,239,904,853,592,884,801,662,014,200,459,514,294,169,877,654,395,287,
633,226,553,294,392,129,725,714,015,653,864,840,707,221,836,443,642,288,068,
995,673,459,256,520,877,846,243,914,533,364,302,954,460,468,654,751,959,417,
827,392,432,874,355,635,009,789,974,282,107,912,717,417,497,925,323,803,073,
647,198,758,057,341,702,511,892,375,221,183,987,136,665,014,414,337,963,422,
495,428,476,635,302,902,526,701,112,152,391,080,245,527,447,040,263,545,534,
278,744,315,498,260,860,998,948,785,910,468,820,582,566,966,303,313,370,430,
296,467,437,040,560,485,289,216,551,118,534,786,322,511,863,356,750,216,865,
744,660,820,049,067,807,669,700,420,102,220,164,546,062,570,254,170,152,525,
284,786,106,832,529,031,731,054,794,303,323,987,442,084,100,426,339,227,983,
501,131,839,708,361,918,167,368,324,424,119,087,658,886,844,306,523,551,082,
028,886,392,423,644,955,296,992,857,928,687,971,855,252,841,214,572,334,741,
697,909,662,404,359,600,446,867,720,677,335,519,170,229,215,621,494,954,505,
533,695,549,409,885,564,072,128,207,002,206,636,166,671,570,007,787,307,156,
722,366,045,625,148,350,458,245,729,810,186,891,550,472,585,861,592,285,071,
326,189,575,363,455,615,274,442,571,559,545,416,207,768,524,864,088,880,600,
574,882,899,152,172,854,309,929,230,715,535,063,084,599,508,574,189,186,705,
101,976,629,619,179,336,723,817,895,112,950,065,270,794,777,551,699,054,778,
962,355,677,440,522,327,141,764,301,425,507,790,860,689,333,830,615,996,511,
659,946,208,187,170,710,352,199,351,851,073,904,004,021,197,037,052,448,293,
963,828,703,005,943,511,000,807,621,989,738,451,328,768,671,389,443,398,683,
603,624,191,254,265,472,929,464,415,982,497,060,564,017,534,433,989,318,461,
882,701,412,869,984,305,712,191,898,598,817,425,623,946,670,034,134,237,835,
987,664,013,700,347,637,117,295,170,429,949,778,706,661,034,781,185,828,995,
344,634,284,414,739,496,073,383,686,711,561,574,249,259,514,201,676,134,113,
513,951,761,354,668,593,960,812,953,225,509,783,759,738,657,888,785,431,431,
606,367,289,148,700,989,632,808,580,311,762,001,572,041,504,606,373,236,354,
900,903,517,818,403,843,672,394,858,362,066,033,242,668,684,756,125,902,436,
092,057,411,673,392,012,753,568,108,566,020,122,376,218,766,826,316,273,040,
876,483,590,413,483,550,463,963,047,216,400,136,981,446,628,546,329,430,327,
584,062,376,268,751,261,013,521,297,080,267,948,638,325,317,719,705,833,754,
246,729,159,253,681,665,338,764,550,393,362,716,672,911,211,879,125,943,461,
485,958,296,774,284,301,572,346,669,491,004,036,735,582,659,035,081,477,877,
342,505,918,961,709,274,065,805,202,521,584,501,314,265,527,125,301,182,126,
346,775,142,524,436,995,200,090,505,634,216,431,164,535,724,519,415,645,247,
805,449,160,182,816,671,147,374,476,459,075,842,438,327,976,238,835,413,497,
920,603,427,287,635,425,177,640,897,029,220,569,758,282,997,326,006,185,666,
761,452,505,693,754,335,029,788,317,397,099,419,537,522,218,946,815,168,732,
075,822,858,244,213,798,619,645,263,356,460,259,013,334,028,251,827,508,784,
333,260,413,606,942,818,739,394,991,665,693,912,768,890,989,296,576,830,753,
314,123,513,964,106,984,433,718,386,307,294,893,939,553,734,065,077,919,050,
532,177,420,152,568,190,078,484,418,829,096,481,734,306,016,016,620,037,457,
053,946,969,131,210,068,596,742,515,448,075,078,156,551,889,108,911,834,822,
540,506,403,758,689,539,531,209,891,210,290,346,283,949,667,111,781,513,588,
227,511,888,202,982,193,895,960,626,532,586,684,427,486,006,053,673,043,835,
218,673,294,779,311,013,335,440,853,329,813,661,832,417,872,065,839,499,090,
975,671,075,661,113,553,836,524,266,134,315,831,497,061,571,461,730,017,003,
341,539,595,568,894,794,449,494,154,781,998,123,009,556,460,477,392,102,931,
170,728,267,155,642,194,911,330,142,008,631,797,806,837,373,972,439,041,659,
368,721,401,753,986,318,503,082,071,284,390,989,094,745,124,667,825,046,931,
926,029,794,988,812,531,972,335,098,731,299,654,347,110,686,049,022,389,077,
420,109,319,260,952,646,729,637,774,007,537,883,281,862,832,782,455,088,111,
635,774,530,482,129,661,742,295,921,780,591,186,886,906,407,499,646,411,915,
461,219,684,650,839,925,205,277,774,585,186,850,897,040,013,054,565,837,693,
761,774,404,500,995,743,085,134,054,949,962,255,168,090,559,780,970,793,140,
352,074,927,293,651,935,254,917,224,901,814,560,197,334,799,450,480,072,682,
699,751,236,416,676,818,454,807,876,381,556,152,182,314,524,429,899,234,180,
573,338,588,279,218,435,840,054,377,225,145,466,106,918,223,916,110,983,010,
997,450,642,514,400,278,987,270,893,584,122,235,516,035,839,969,299,176,388,
507,587,429,133,763,107,419,901,681,212,291,139,148,064,752,365,698,180,579,
445,821,857,086,553,654,153,040,958,106,606,474,865,679,036,123,126,490,047,
428,417,489,019,642,609,372,431,822,450,956,828,631,356,975,129,397,390,214,
987,846,465,837,929,547,694,846,722,563,980,187,042,068,787,830,072,928,040,
523,220,408,991,328,194,042,314,878,127,635,444,199,544,565,574,192,819,897,
145,553,129,639,638,032,663,990,535,967,349,835,499,471,493,220,138,269,152,
991,824,490,512,962,216,095,186,700,477,353,478,011,617,114,609,407,229,980,
546,891,966,175,393,245,465,113,041,172,042,408,279,644,312,344,533,608,039,
070,594,780,639,937,793,318,287,847,837,158,155,056,171,309,636,204,278,324,
347,844,069,618,931,981,436,938,806,433,761,786,600,445,551,897,903,332,997,
983,131,231,830,748,308,885,369,917,407,105,633,110,895,629,599,099,367,912,
774,569,493,053,574,252,940,506,438,589,628,749,933,779,851,813,057,640,550,
980,660,750,417,656,707,893,270,964,111,816,262,643,115,692,046,271,140,409,
566,461,342,288,040,242,228,444,469,749,642,586,735,123,679,057,401,025,853,
220,263,451,701,099,060,355,853,336,056,170,684,465,116,981,379,786,313,696,
302,045,954,480,134,428,192,418,499,919,298,589,470,294,300,319,441,972,968,
704,633,465,898,668,478,295,944,653,653,779,874,902,847,259,362,217,972,127,
632,450,245,709,799,379,323,155,482,094,382,759,902,810,365,915,015,363,388,
564,100,329,398,916,631,921,823,098,206,730,711,473,699,541,216,615,503,663,
169,188,247,206,925,672,832,917,745,681,459,275,813,623,723,632,549,615,842,
456,214,950,952,198,165,775,729,689,496,225,113,046,175,540,587,317,732,861,
510,522,224,195,718,647,825,959,938,081,755,318,735,849,215,388,511,826,342,
915,119,475,774,830,708,446,459,732,576,960,581,321,727,514,053,437,807,665,
024,435,694,067,564,259,772,546,247,410,608,062,290,429,050,720,650,545,391,
860,536,090,833,260,975,600,222,719,948,285,857,577,971,471,055,586,474,344,
397,895,837,078,355,323,216,777,307,589,630,583,744,528,470,413,184,572,090,
770,709,551,209,806,032,137,837,485,160,883,713,018,959,210,348,277,790,859,
002,728,443,294,311,867,183,285,454,287,336,048,243,495,327,025,548,744,470,
916,057,063,675,240,295,921,078,787,335,079,902,151,861,396,023,841,163,629,
526,395,541,070,945,511,495,283,567,537,074,395,128,077,937,367,942,650,901,
047,732,390,328,020,196,361,197,895,999,942,042,525,450,198,302,295,146,123,
601,587,273,654,013,579,565,288,344,773,905,898,156,621,183,062,794,067,590,
865,247,039,601,596,547,252,265,530,379,304,220,398,593,631,080,079,606,379,
425,140,227,263,844,969,006,547,515,198,272,459,012,921,289,297,267,479,305,
337,145,171,361,180,920,985,927,050,068,946,290,587,304,615,980,357,414,331,
160,498,735,626,181,300,813,256,426,496,732,764,959,459,749,634,199,152,164,
529,230,880,978,903,830,147,107,075,635,257,674,539,496,808,237,006,318,010,
657,214,753,770,606,848,606,811,698,503,913,500,022,992,755,129,955,600,510,
273,964,275,341,928,316,565,363,027,125,970,966,391,382,203,314,350,110,644,
127,456,958,270,961,101,315,939,211,266,448,984,143,977,454,208,102,032,588,
197,119,261,193,005,535,886,338,089,093,904,866,036,506,512,785,810,233,478,
783,068,890,137,679,938,951,850,032,846,858,753,670,733,303,280,989,999,044,
594,535,010,552,023,891,794,194,717,145,677,749,953,035,850,733,644,226,249,
516,460,837,158,018,445,393,660,210,484,786,096,429,256,042,296,228,329,459,
090,277,613,509,425,202,963,373,345,997,757,607,889,861,961,769,841,665,235,
198,186,426,607,190,890,751,251,485,421,249,931,626,694,983,594,443,101,855,
610,243,903,426,719,266,250,544,839,488,454,393,203,192,958,425,659,590,078,
943,705,592,873,572,325,032,862,172,826,851,769,034,843,106,326,289,109,262,
275,535,415,869,669,706,663,185,931,809,192,638,054,523,597,121,028,476,663,
605,276,697,380,393,114,096,886,769,191,619,148,478,299,132,702,546,531,026,
204,457,319,843,503,661,603,386,321,296,362,827,318,289,920,357,520,346,769,
824,011,608,632,792,403,288,839,069,170,500,799,760,233,918,360,996,401,519,
742,740,166,236,970,500,573,626,916,420,730,328,850,870,400,299,023,521,825,
152,013,393,440,124,522,937,888,480,487,657,855,450,635,033,277,191,871,468,
365,859,362,810,238,969,550,059,524,558,037,096,462,719,735,133,294,231,391,
603,842,702,337,154,228,747,782,617,589,099,614,809,956,336,026,471,253,553,
039,430,078,709,655,653,826,388,305,328,834,733,962,509,447,958,913,583,666,
367,890,306,454,190,519,936,955,537,800,570,972,926,305,735,082,546,932,161,
081,114,697,667,152,138,122,158,084,697,036,038,304,966,232,721,075,493,008,
330,436,846,786,378,900,346,958,238,706,617,291,362,735,433,022,176,887,439,
011,117,870,229,446,303,922,111,104,815,735,699,779,316,844,913,669,807,154,
305,700,327,572,875,434,964,820,353,852,160,646,448,350,409,649,178,866,906,
886,767,853,107,409,249,953,113,606,846,152,647,261,913,804,422,161,924,297,
524,225,433,280,806,164,690,398,898,117,351,531,672,973,042,453,929,517,733,
737,010,776,924,972,616,065,476,981,360,440,044,515,994,339,575,075,027,870,
682,290,145,430,908,635,623,255,889,484,001,561,730,253,036,832,277,739,378,
029,854,547,041,474,416,866,427,083,564,083,196,621,042,085,978,863,158,678,
125,354,416,699,557,290,442,595,982,833,049,563,880,597,170,971,586,158,930,
894,217,750,671,499,754,168,395,110,775,734,200,405,133,911,237,022,534,503,
105,763,387,197,510,261,262,339,509,680,181,156,307,124,617,575,797,690,702,
404,938,828,296,002,927,717,193,310,035,958,873,878,551,406,962,896,587,665,
335,599,973,546,882,681,555,538,754,485,982,544,576,244,949,159,380,723,979,
362,218,280,263,708,336,759,119,306,225,474,961,698,101,025,594,833,972,924,
068,641,646,774,979,580,666,115,536,532,049,751,467,029,618,587,330,239,419,
960,550,351,322,411,328,279,561,785,130,233,507,078,437,484,469,475,340,557,
128,316,787,478,958,047,756,304,671,065,316,930,734,229,603,683,537,771,770,
469,283,701,911,850,276,502,597,428,969,536,917,104,338,112,716,963,938,533,
098,352,784,706,846,754,868,484,571,420,697,654,049,841,856,192,830,713,370,
847,992,808,891,208,278,164,813,628,908,063,200,457,268,453,081,109,057,418,
501,954,825,529,181,369,977,400,844,650,717,953,429,105,911,038,663,985,520,
716,398,086,765,288,224,583,200,435,229,532,832,778,437,153,485,743,787,248,
445,523,658,183,843,691,213,208,151,781,002,409,821,933,240,621,777,521,459,
843,187,969,815,561,495,805,887,816,683,721,297,054,648,230,115,293,377,885,
182,894,701,604,535,648,250,423,082,678,086,059,073,571,979,327,443,786,391,
208,772,940,694,970,227,101,596,626,797,756,360,162,046,405,406,463,307,615,
489,639,587,183,655,376,855,192,754,798,023,250,163,134,372,207,499,487,238,
340,981,407,884,899,128,214,556,269,757,308,167,111,711,539,745,255,277,812,
301,981,290,941,639,192,106,876,261,518,429,410,050,091,250,825,337,466,120,
940,190,815,700,445,120,349,683,809,801,838,096,221,446,040,180,612,507,077,
420,537,339,580,218,003,503,876,736,355,721,101,898,889,673,950,985,741,839,
867,591,966,390,191,176,016,971,753,739,562,039,695,022,296,775,567,796,377,
978,085,040,970,344,604,070,236,033,110,822,988,834,725,818,376,561,377,752,
591,183,505,376,016,167,328,430,068,539,589,148,377,229,221,769,409,932,747,
789,337,963,786,626,874,451,621,763,468,878,675,945,904,232,765,963,707,182,
311,655,925,225,261,346,539,142,363,930,526,405,112,301,109,451,918,610,918,
907,051,041,998,675,226,271,722,489,461,966,597,519,590,130,783,660,874,115,
226,196,007,065,533,561,170,037,328,036,922,144,956,183,919,236,199,014,186,
386,492,054,039,047,088,460,083,749,731,803,876,097,027,234,754,113,927,735,
669,799,075,777,856,797,266,839,325,843,431,754,915,889,636,636,061,463,384,
177,895,217,352,683,711,136,484,421,470,938,589,910,256,207,636,805,664,615,
318,383,509,142,046,111,559,000,997,167,123,741,736,726,680,028,285,383,204,
158,137,578,614,533,151,040,987,429,627,907,462,586,649,246,906,302,231,037,
983,839,978,048,469,330,173,724,136,229,790,546,801,727,484,913,148,500,137,
456,085,088,585,520,536,796,651,571,094,212,368,785,848,397,499,436,765,865,
082,354,640,396,576,434,829,894,297,781,335,738,068,212,172,214,345,525,381,
166,376,391,362,701,467,456,664,990,398,026,364,798,789,920,488,323,420,058,
118,442,487,165,366,871,901,818,993,433,233,717,362,666,517,162,501,630,188,
248,626,285,237,564,449,812,236,176,887,764,878,806,569,779,116,030,658,646,
649,347,371,397,672,629,187,598,226,435,432,153,864,644,316,865,344,201,643,
447,637,844,082,717,535,973,053,845,486,155,573,242,151,414,088,234,964,459,
971,944,634,099,288,576,736,596,897,689,334,349,780,292,137,871,810,510,057,
332,829,705,498,873,786,219,912,279,830,211,513,954,069,475,189,385,001,746,
116,824,377,944,687,864,860,265,460,992,093,051,043,483,403,989,773,630,485,
228,747,417,414,862,653,423,020,106,876,940,201,489,335,832,006,452,382,830,
494,404,189,572,006,412,289,179,510,858,951,226,961,676,423,835,194,245,195,
119,207,581,774,410,720,644,781,098,022,493,882,176,279,732,013,202,976,857,
980,104,021,751,717,071,065,950,616,272,310,680,264,965,018,454,855,065,546,
667,127,723,338,632,066,586,484,818,981,695,295,531,855,348,385,932,205,721,
514,986,059,129,899,647,415,946,969,307,405,810,363,292,722,260,800,004,248,
536,890,895,735,527,255,958,007,787,960,860,149,690,496,150,224,908,620,802,
398,168,183,686,619,500,752,007,054,944,070,082,111,732,979,430,075,992,547,
978,378,825,018,325,233,906,971,818,616,043,357,129,576,751,272,178,752,003,
463,284,862,964,505,066,068,464,737,852,926,947,273,076,596,212,074,728,806,
811,037,286,510,790,498,319,978,516,061,955,150,802,708,100,410,099,841,629,
310,593,822,896,752,697,744,679,771,674,911,602,921,839,022,106,391,598,199,
717,956,578,805,905,826,228,398,629,526,133,266,269,918,541,228,227,753,186,
025,032,923,598,118,972,054,195,841,796,607,673,591,490,926,375,653,456,688,
954,142,539,356,115,917,623,950,285,786,776,046,387,944,530,983,245,032,639,
398,012,697,649,510,352,433,910,149,582,626,107,685,874,557,481,753,726,153,
676,132,026,022,128,642,115,923,747,263,492,650,554,635,018,013,994,182,509,
522,482,014,700,378,152,381,269,277,191,968,216,045,519,932,176,464,230,820,
034,163,141,793,215,071,690,770,816,916,250,852,719,499,520,204,888,816,372,
883,146,133,406,488,465,367,539,980,838,797,827,329,497,480,517,170,404,050,
546,118,209,705,001,905,398,766,911,727,868,720,453,806,277,094,488,670,019,
568,702,332,210,059,089,942,990,804,207,005,865,509,182,428,523,023,053,831,
829,130,024,221,517,962,861,521,674,548,299,124,864,417,092,678,314,500,092,
013,198,234,821,582,594,685,488,135,396,144,253,573,783,523,163,397,215,993,
708,450,735,265,682,732,749,379,162,553,637,887,075,017,511,800,411,341,029,
461,063,297,826,016,179,850,107,815,195,252,465,214,707,271,933,844,590,602,
204,014,041,478,862,693,838,916,055,253,449,387,425,396,520,138,114,756,657,
441,257,495,970,866,728,483,457,795,363,218,114,756,708,350,980,060,788,584,
113,069,255,603,032,488,545,266,135,846,240,127,971,696,868,511,998,967,280,
949,018,312,941,856,257,633,403,748,429,088,031,648,558,055,949,093,778,593,
747,002,054,446,787,228,572,239,444,346,381,341,750,863,236,377,147,490,332,
521,653,660,759,719,631,488,130,875,909,139,745,180,729,926,136,200,470,832,
666,933,285,765,692,837,175,884,308,656,553,411,887,528,284,552,508,575,018,
315,656,282,667,131,842,557,249,427,427,176,628,222,198,120,093,722,742,990,
512,979,313,593,285,272,492,986,405,773,866,089,445,495,947,601,658,036,238,
997,935,184,803,108,322,770,144,607,776,257,933,350,839,004,147,160,566,533,
548,878,028,725,941,866,966,777,872,412,270,494,026,480,381,648,756,657,071,
974,986,438,907,081,117,059,419,100,866,845,675,305,234,103,741,787,195,234,
352,689,043,599,940,655,336,837,999,336,791,731,416,638,275,290,797,715,134,
459,494,139,437,694,549,781,547,269,919,999,126,586,136,646,415,760,804,303,
965,393,460,202,228,163,376,156,554,749,805,969,902,825,957,887,007,527,006,
657,649,628,511,547,299,036,437,607,852,759,413,582,798,951,710,125,089,289,
174,198,812,473,298,169,191,414,849,570,408,969,207,316,203,404,970,270,827,
192,070,334,408,180,978,152,697,192,428,836,327,033,544,800,874,002,452,823,
369,452,183,127,166,408,889,212,133,866,168,624,638,193,778,796,550,917,753,
814,834,921,143,035,662,823,733,296,780,641,127,117,870,952,454,435,597,287,
637,128,974,885,441,139,429,997,232,254,588,158,056,754,842,423,739,856,491,
143,459,662,692,416,038,958,782,383,577,375,714,961,929,091,002,438,896,256,
221,637,684,139,417,170,158,513,032,245,306,374,771,062,702,681,250,312,965,
551,811,838,389,234,718,820,587,103,996,291,563,919,636,311,606,196,773,268,
287,464,752,596,042,314,118,357,458,389,088,606,699,810,681,978,988,450,514,
163,696,271,304,994,721,838,333,995,223,789,675,887,363,746,816,174,656,419,
349,536,509,912,343,133,024,280,608,720,945,759,191,448,253,383,544,531,805,
140,307,997,146,629,375,642,524,835,650,815,214,638,741,073,071,950,690,912,
099,531,702,215,299,226,692,522,404,659,613,205,209,882,623,125,128,178,680,
121,514,761,872,212,924,638,783,515,983,124,665,212,471,254,263,265,630,302,
655,414,959,315,560,197,202,064,796,912,772,637,554,221,017,155,799,401,927,
596,759,549,283,914,284,829,451,787,138,832,167,362,167,951,927,463,395,108,
314,310,100,103,214,581,293,874,357,559,505,289,033,435,494,448,863,404,226,
190,834,639,861,541,742,175,655,071,275,179,924,034,902,400,370,349,802,934,
133,574,742,435,388,541,734,765,776,873,701,396,775,951,706,163,832,811,783,
598,503,306,595,657,001,027,903,703,504,959,914,434,534,498,188,571,103,622,
779,164,773,736,575,349,441,647,852,768,835,985,589,797,534,868,280,413,358,
270,792,066,508,438,055,030,829,798,677,648,677,915,617,412,121,031,544,344,
930,138,750,450,503,665,390,949,863,742,462,578,690,849,341,585,304,044,393,
847,708,941,078,957,207,891,412,705,568,489,129,605,177,457,209,776,563,125,
691,292,592,723,682,827,931,751,750,808,302,236,281,003,507,819,635,502,804,
078,448,159,240,088,279,676,033,641,167,268,233,544,361,920,392,078,301,783,
984,349,595,433,518,157,323,097,235,548,386,116,161,282,443,249,310,166,962,
133,379,463,287,388,861,192,612,299,277,121,733,939,164,899,903,925,416,768,
577,800,203,720,784,509,767,841,384,997,349,839,074,204,917,877,520,868,141,
982,302,482,612,070,750,323,597,042,058,764,917,945,892,960,073,793,446,508,
471,418,161,672,599,326,951,430,980,471,381,514,382,218,080,202,082,105,654,
041,328,099,592,525,718,896,747,952,212,552,067,097,539,949,884,796,424,654,
975,524,102,838,073,970,468,219,372,349,293,065,897,327,682,885,706,844,184,
669,884,043,538,618,371,718,390,536,365,812,940,476,644,556,735,954,075,811,
614,854,216,425,200,826,069,504,253,212,730,618,568,971,066,590,969,171,365,
991,506,018,356,551,870,858,352,242,340,366,112,222,366,862,842,525,001,700,
043,430,191,043,139,463,689,133,541,961,164,663,903,832,889,172,229,086,770,
785,428,972,284,949,529,522,226,480,824,651,195,150,494,804,450,004,657,981,
412,110,226,066,981,315,592,294,618,157,441,361,391,877,089,366,973,212,385,
187,623,340,481,058,009,783,703,639,257,215,923,577,173,632,418,833,924,516,
527,414,938,405,194,621,570,734,084,142,975,931,558,303,753,467,521,966,676,
605,744,302,908,726,314,541,590,279,494,867,123,617,757,341,138,822,763,537,
963,520,714,881,686,206,260,689,374,711,532,984,835,847,999,818,582,622,166,
780,698,035,549,866,169,168,017,125,817,531,381,070,449,804,984,968,808,936,
965,275,799,070,842,368,227,519,660,140,111,559,443,054,901,501,503,262,918,
916,507,266,376,923,979,534,602,084,561,077,907,177,840,477,930,873,313,666,
414,541,455,532,596,776,436,866,764,091,736,427,982,415,440,648,654,838,575,
284,217,484,813,290,408,716,198,981,783,624,385,169,297,915,940,113,333,545,
525,267,973,031,845,563,818,608,143,618,633,150,514,388,172,532,681,839,462,
983,681,220,884,546,892,370,569,913,040,842,069,497,187,123,128,222,618,822,
700,964,592,054,342,226,560,815,862,380,823,210,816,937,159,091,577,210,235,
254,520,711,974,859,672,842,065,156,095,329,399,396,187,765,510,404,570,633,
526,502,298,543,535,313,061,201,998,335,486,161,349,431,593,796,877,178,506,
960,646,781,282,185,831,013,023,365,718,642,092,400,023,904,067,802,132,610,
704,027,491,210,651,159,684,386,562,848,000,910,105,795,436,909,336,379,347,
095,072,301,443,799,344,555,430,264,886,316,004,475,623,170,616,619,557,267,
622,975,360,580,845,244,753,905,183,412,808,430,092,067,750,695,139,431,661,
185,496,877,973,294,152,057,091,111,421,665,206,616,119,472,673,093,092,735,
732,825,555,585,275,316,128,219,923,428,806,995,946,808,527,421,977,568,708,
469,379,969,269,832,118,493,610,003,068,716,540,463,367,677,650,479,584,554,
223,782,984,346,152,631,863,522,821,839,279,006,923,456,058,992,843,912,679,
276,125,519,536,081,408,382,395,437,863,901,159,220,142,925,054,166,595,966,
085,564,842,316,290,167,167,000,177,160,910,686,948,688,713,996,055,291,858,
275,006,631,387,790,131,989,210,655,009,177,522,237,117,730,976,878,158,357,
744,600,458,120,864,535,280,171,182,233,640,076,987,539,300,469,826,325,507,
405,753,627,162,687,614,550,635,634,733,106,890,637,494,384,521,912,229,012,
813,965,753,211,298,209,780,412,499,281,733,766,157,586,783,416,874,772,892,
457,256,380,938,400,423,526,253,962,306,899,342,655,805,691,083,579,878,329,
968,133,807,192,588,386,444,101,734,419,291,616,898,057,504,401,049,703,430,
567,239,789,342,152,621,736,815,314,644,815,327,297,108,383,209,522,911,668,
208,032,374,372,685,506,193,078,438,418,320,297,960,725,620,605,632,724,825,
004,044,443,739,159,519,343,332,897,128,468,189,323,806,007,558,804,603,307,
497,986,493,740,182,907,570,505,047,501,891,798,674,803,265,724,734,460,926,
179,166,102,297,813,202,687,874,370,393,427,889,636,174,216,338,064,165,028,
486,077,085,231,694,665,027,262,075,924,047,469,435,834,175,515,862,779,024,
295,482,102,297,037,077,920,537,952,848,904,840,092,848,637,399,024,413,225,
004,810,482,397,428,499,817,293,126,566,635,599,008,297,970,117,321,414,781,
837,625,744,498,270,894,023,055,980,003,212,002,540,099,258,582,544,500,809,
183,946,781,098,851,897,721,956,638,947,452,327,022,014,590,624,946,026,981,
891,957,019,469,658,373,684,373,029,251,529,788,663,102,791,244,346,824,093,
160,251,370,410,553,939,048,785,337,576,821,105,991,042,958,832,801,488,741,
012,784,340,852,446,447,093,289,796,544,422,845,165,184,262,803,938,032,355,
236,051,875,020,082,030,525,363,632,553,494,518,532,041,807,920,192,821,391,
031,495,167,348,286,336,237,290,103,731,047,662,960,230,420,092,369,600,651,
842,520,107,659,862,006,707,276,630,404,228,694,507,843,232,386,174,979,047,
529,869,376,743,549,532,196,077,886,373,034,097,554,442,969,336,624,066,623,
091,007,370,224,821,618,295,053,672,341,936,005,498,828,903,822,885,703,570,
457,231,458,024,806,994,567,603,965,465,213,458,200,430,846,238,034,488,279,
802,035,006,888,824,964,378,410,369,550,864,347,156,918,347,814,395,657,670,
544,381,205,368,615,843,945,123,543,680,190,747,496,087,093,674,158,766,107,
874,837,901,122,874,143,426,303,077,449,596,976,101,466,453,939,660,256,316,
354,217,387,574,971,320,916,819,622,097,477,686,646,301,722,326,566,934,635,
982,932,216,813,452,710,407,767,267,326,290,954,926,175,030,835,437,408,836,
100,535,837,756,987,634,980,544,197,288,144,054,703,894,289,856,970,393,781,
789,564,161,692,220,316,013,962,693,673,456,703,718,220,224,698,412,321,865,
572,619,330,036,751,692,929,868,536,214,334,455,770,684,497,588,540,318,505,
458,314,949,193,524,272,192,693,340,736,846,763,469,581,122,613,237,051,493,
819,412,793,898,416,463,858,768,102,154,732,684,084,273,756,733,359,407,189,
636,592,720,732,649,059,957,757,412,733,951,115,007,089,346,928,333,498,429,
977,327,279,017,147,202,160,274,219,212,505,699,685,972,735,583,033,630,864,
787,171,704,236,580,022,557,860,290,740,089,934,582,414,592,012,580,109,219,
782,344,102,203,890,728,736,530,908,738,230,859,049,373,323,080,830,935,641,
294,185,455,443,066,709,809,149,954,052,530,069,917,484,396,956,424,553,742,
544,190,967,627,467,788,559,872,570,458,441,415,881,265,420,988,429,172,230,
747,574,181,805,655,401,501,462,660,537,306,311,905,877,310,636,512,354,060,
589,652,127,953,289,013,304,124,253,600,207,139,787,058,925,465,723,007,423,
632,379,433,281,837,700,256,735,075,568,181,775,647,061,874,181,734,652,054,
541,657,784,963,680,553,599,232,539,726,537,611,447,457,064,180,935,213,054,
801,254,215,532,261,284,699,938,528,556,773,155,285,175,435,481,261,403,442,
273,615,318,224,146,343,769,248,056,699,912,097,280,539,136,801,374,899,840,
791,082,038,853,303,072,718,751,688,023,211,925,438,809,965,655,335,224,747,
290,676,968,009,768,665,067,161,030,175,420,716,923,586,123,179,168,277,363,
533,091,065,614,530,517,595,434,664,899,185,896,542,119,600,892,591,538,063,
896,567,484,648,003,404,970,073,347,862,744,338,758,064,241,790,466,903,957,
806,719,163,807,334,401,226,229,876,021,807,309,272,732,238,316,456,459,241,
472,948,933,136,055,526,796,708,587,108,115,658,765,987,270,203,145,280,882,
782,884,949,835,010,783,383,449,973,507,755,957,105,873,302,367,653,478,191,
187,761,471,876,198,417,398,020,645,484,922,988,934,976,207,403,507,632,019,
058,787,934,799,824,360,319,416,224,303,861,458,337,859,146,265,977,907,226,
786,129,625,302,753,826,512,656,985,074,167,801,863,061,600,079,127,400,490,
383,772,319,305,976,305,831,907,340,401,205,095,800,593,742,608,520,853,917,
752,887,706,172,578,581,727,185,613,567,906,657,296,302,047,132,721,129,022,
929,710,954,879,760,793,411,597,819,804,820,490,633,203,775,536,427,520,747,
027,234,777,915,802,659,597,929,001,141,733,655,066,105,116,199,393,669,707,
487,088,230,571,940,964,868,540,151,965,338,097,439,166,708,231,345,934,699,
008,823,418,363,355,103,616,316,865,601,793,745,166,931,861,412,533,751,089,
498,020,396,466,099,368,075,204,339,325,800,007,971,008,795,935,112,836,534,
973,283,428,982,329,982,381,190,141,698,865,552,076,542,295,933,499,491,263,
538,316,406,036,222,809,920,423,266,295,925,888,837,549,011,556,115,313,393,
942,787,515,580,661,794,969,252,140,568,591,116,510,027,956,281,708,688,333,
062,955,400,758,754,611,711,038,629,423,125,152,549,105,316,608,952,335,968,
388,850,857,267,752,808,865,264,607,180,683,553,363,562,004,810,069,402,594,
516,902,839,204,388,803,672,110,033,626,125,020,631,186,388,297,164,596,876,
289,256,663,346,208,984,336,555,413,704,020,241,788,597,546,472,469,734,859,
995,312,842,448,548,274,078,081,937,170,552,994,415,078,448,288,152,037,919,
658,431,648,562,330,247,137,019,889,183,507,089,297,982,058,540,230,583,609,
149,514,859,017,551,936,795,663,688,790,099,351,655,062,825,446,089,717,204,
951,460,449,022,201,218,431,457,289,579,055,583,891,426,499,580,634,558,989,
068,464,735,254,757,049,432,940,784,179,188,210,986,920,808,926,629,292,147,
424,003,798,170,304,201,849,802,799,334,127,210,715,248,823,980,229,479,700,
867,135,328,701,770,971,304,983,171,674,021,251,499,458,907,633,907,747,350,
956,374,286,597,327,849,394,615,999,278,030,134,302,367,925,951,097,452,723,
783,013,874,121,753,609,792,059,388,129,442,091,055,689,798,363,865,636,572,
831,434,608,743,886,151,309,689,025,052,339,864,357,632,005,964,293,455,808,
240,906,040,248,065,423,676,028,862,785,004,647,030,088,978,490,378,011,486,
247,472,335,709,172,080,200,425,919,489,185,928,196,015,942,497,771,077,392,
362,544,753,779,733,036,466,990,843,470,300,644,932,089,310,699,430,268,983,
013,991,435,088,299,673,888,727,125,447,263,721,222,301,266,628,771,848,770,
658,144,969,603,534,552,963,212,649,742,949,812,443,163,597,124,341,394,147,
332,766,478,862,835,544,002,964,592,025,467,942,260,808,097,789,265,935,871,
883,496,626,219,189,990,871,896,131,197,319,020,457,716,541,427,073,677,387,
116,733,608,817,264,299,870,535,233,078,534,886,072,504,544,728,478,238,777,
230,505,811,937,268,949,037,415,951,892,432,255,882,753,547,898,184,885,038,
285,760,275,838,248,909,239,640,339,377,227,016,405,199,578,318,497,595,239,
877,764,868,385,757,921,099,919,517,115,712,499,252,747,168,993,477,183,328,
148,814,126,780,873,021,614,579,707,928,502,263,993,935,580,801,734,440,410,
915,456,025,951,375,196,457,189,479,720,121,944,379,814,815,482,742,848,014,
192,930,871,875,759,987,255,548,253,603,487,001,847,501,125,333,388,564,374,
216,747,794,779,974,034,415,677,802,790,608,181,161,023,345,453,801,211,049,
792,663,376,895,063,712,555,857,731,029,325,358,943,048,874,432,531,382,893,
358,582,709,832,103,286,554,380,241,239,359,832,022,599,033,552,697,942,962,
058,800,936,571,217,889,013,926,921,680,866,686,888,558,374,001,302,582,526,
043,511,903,036,906,710,569,378,804,419,086,729,112,093,178,530,723,325,121,
634,270,489,016,955,519,583,897,540,611,061,670,600,326,564,858,336,067,388,
242,846,435,320,235,429,615,809,308,417,078,003,942,117,366,492,617,170,612,
393,734,342,484,651,997,310,331,172,648,153,214,633,792,844,748,334,319,986,
607,755,239,992,392,257,220,266,539,992,962,302,049,896,144,696,590,798,765,
782,781,585,188,140,995,816,505,217,927,184,043,132,994,177,433,733,212,240,
958,883,649,569,529,672,995,804,422,322,367,213,150,758,408,342,637,113,106,
818,573,679,523,082,067,598,190,164,240,849,297,653,292,718,732,608,946,708,
708,852,143,123,224,976,111,151,621,051,853,501,485,212,910,242,761,638,978,
476,987,850,724,639,269,268,073,052,563,979,131,722,262,008,714,383,975,215,
123,837,485,666,022,496,452,741,625,701,987,516,590,022,431,684,231,527,565,
755,092,373,049,618,953,536,402,660,370,679,646,886,189,088,977,203,855,873,
336,688,685,789,146,935,410,378,346,388,596,787,619,790,919,828,111,847,024,
856,472,889,472,635,686,322,089,012,828,592,805,403,208,134,747,969,701,467,
349,884,522,800,409,552,863,305,522,711,481,251,430,695,913,476,637,914,761,
506,254,938,427,878,305,203,953,511,974,759,503,380,425,637,992,624,679,600,
076,784,329,617,489,816,169,941,073,599,231,184,119,358,723,313,603,108,725,
147,907,699,407,893,672,611,465,936,696,038,759,788,346,576,796,221,836,455,
115,784,294,468,621,509,237,661,379,938,357,023,610,129,386,744,665,512,182,
809,174,864,314,841,837,322,130,627,832,561,416,276,341,997,480,067,396,190,
359,062,910,013,937,888,342,388,592,718,419,131,609,421,123,334,458,748,951,
362,011,362,546,948,580,257,894,029,060,953,293,525,725,151,206,806,868,445,
584,244,668,854,901,893,201,230,157,250,688,664,509,874,495,797,943,162,322,
985,767,002,815,963,229,427,540,039,680,917,110,957,995,091,068,730,267,129,
530,296,356,890,418,538,672,470,385,257,626,257,273,416,103,166,317,360,727,
186,910,222,262,418,638,075,363,685,945,355,771,620,291,685,580,103,609,877,
062,194,505,154,794,155,147,266,416,427,736,608,763,687,363,269,587,768,089,
855,623,765,582,160,671,119,287,566,881,527,603,953,609,109,454,027,432,212,
741,635,931,887,694,639,066,124,335,486,314,784,820,792,031,265,261,224,121,
492,205,859,872,113,452,246,739,340,797,026,155,933,369,911,634,917,180,382,
239,565,404,333,814,484,920,814,436,773,396,823,069,922,404,655,226,265,432,
163,312,865,583,777,610,174,171,845,497,815,154,215,885,097,259,314,279,961,
288,451,589,528,773,584,915,594,321,327,625,629,289,998,398,610,135,255,384,
812,631,720,253,487,262,993,681,163,391,639,108,541,333,099,240,244,618,716,
275,383,623,226,130,358,411,781,420,065,573,771,078,705,322,985,242,729,419,
013,888,040,506,487,025,556,602,484,375,813,692,641,387,373,008,104,079,322,
716,212,354,260,337,964,627,082,608,218,011,093,305,940,928,325,850,741,349,
625,628,042,828,498,903,358,674,101,906,789,561,351,293,196,634,541,973,838,
688,220,054,743,119,483,226,758,990,416,220,029,503,970,608,220,243,699,880,
357,207,132,763,526,092,995,407,514,349,951,314,782,957,150,343,062,060,687,
463,472,112,636,638,334,997,072,870,371,442,799,583,179,006,516,234,228,360,
032,577,057,488,863,537,051,294,692,263,273,716,589,053,746,353,315,811,632,
064,540,558,786,516,477,294,917,130,502,806,579,888,602,640,707,253,743,981,
299,009,461,428,100,808,052,844,509,121,574,685,286,071,787,691,685,523,279,
122,350,868,254,760,699,240,826,588,703,645,964,990,230,130,968,207,722,211,
833,548,430,828,579,232,161,409,036,922,082,602,833,156,374,665,484,315,873,
560,308,589,791,746,604,507,280,429,235,539,879,352,757,698,856,147,640,929,
510,922,144,901,514,054,142,481,000,154,513,815,959,111,200,873,499,876,651,
887,134,437,457,319,677,192,826,138,001,242,545,918,864,035,568,795,711,202,
001,000,657,188,088,541,795,659,213,375,624,377,161,938,995,123,904,172,388,
339,055,982,982,987,015,751,605,915,623,955,583,028,243,811,809,886,548,735,
424,444,138,478,975,114,694,466,388,317,057,943,501,566,276,133,024,320,389,
441,982,314,592,322,545,565,930,842,007,809,378,674,526,736,476,017,335,076,
563,041,794,501,120,350,881,408,537,288,563,705,239,619,561,746,023,885,087,
916,708,524,567,094,876,221,130,723,554,277,259,320,147,627,242,994,561,621,
973,024,892,435,102,861,892,209,220,876,836,443,969,314,188,208,091,497,866,
599,316,325,878,734,600,438,273,326,704,976,576,676,191,982,176,573,986,122,
247,531,610,559,594,487,929,239,579,550,454,607,274,621,500,366,329,710,794,
094,786,500,639,692,350,999,747,762,081,115,965,128,043,466,349,300,495,610,
304,684,003,102,771,499,773,669,000,224,843,631,782,581,988,602,987,862,213,
036,763,131,682,619,936,397,353,822,389,318,921,031,563,311,835,793,631,079,
687,588,750,822,105,038,110,149,553,756,457,642,110,345,054,359,813,216,508,
925,448,603,496,201,185,996,342,850,784,824,553,779,026,139,427,585,535,216,
797,699,960,744,053,939,103,183,416,829,886,831,737,538,270,630,304,560,415,
484,096,489,723,990,704,035,145,285,049,440,838,773,380,061,669,098,711,060,
626,072,022,024,804,422,607,446,154,327,313,125,613,563,465,564,952,686,751,
821,893,970,061,754,791,918,105,618,938,292,227,577,665,627,977,881,725,903,
376,549,907,804,864,314,028,328,281,288,275,884,790,332,698,056,646,361,782,
554,902,132,684,869,620,361,225,666,828,034,713,472,678,969,958,539,666,109,
888,641,128,305,186,719,331,878,377,726,075,619,248,506,934,365,580,927,383,
112,675,622,634,618,481,863,821,099,459,071,404,102,942,587,498,891,730,523,
149,578,679,378,224,021,137,554,382,933,587,493,402,324,624,509,871,938,143,
314,767,882,396,114,335,822,359,330,040,564,516,799,942,982,937,876,777,653,
872,185,385,448,924,131,353,106,795,972,808,373,438,006,737,891,740,900,343,
647,422,478,672,912,286,675,450,065,948,424,738,198,779,980,695,440,083,149,
692,856,070,684,736,342,510,067,669,312,562,560,718,789,362,673,739,496,890,
795,850,546,243,080,342,653,443,139,449,883,376,863,411,331,430,070,839,519,
176,417,335,504,237,655,367,016,786,336,296,789,357,618,535,417,618,308,883,
598,306,911,835,529,177,226,711,498,435,476,590,878,589,713,405,974,057,945,
913,531,055,384,779,850,272,764,013,013,674,829,530,288,420,051,099,758,594,
017,503,990,650,867,686,917,780,727,540,510,103,708,979,748,427,533,535,231,
810,993,394,478,457,292,553,689,000,801,471,797,030,349,898,240,574,396,685,
940,544,914,390,975,807,156,648,724,062,201,534,049,925,618,621,879,559,127,
784,247,009,805,964,822,908,694,967,951,023,221,659,727,088,207,257,287,271,
865,665,339,135,504,919,829,587,324,697,253,991,066,261,536,446,205,957,286,
810,493,879,544,510,306,263,095,478,927,556,983,852,151,641,938,975,601,377,
898,840,067,907,601,161,040,264,791,602,116,876,743,948,312,506,541,215,569,
720,194,021,007,738,021,928,539,046,417,981,562,520,861,744,849,724,153,198,
973,327,682,252,133,417,206,329,222,140,457,905,183,985,476,742,384,012,037,
665,726,777,977,742,908,248,349,922,321,474,286,152,676,874,302,841,247,377,
325,900,467,045,098,548,954,707,820,744,950,783,257,713,795,563,188,434,186,
871,278,286,710,023,300,732,762,075,021,315,205,452,455,082,469,579,103,909,
505,366,994,277,488,738,568,269,645,450,948,002,835,880,559,238,230,380,175,
584,216,338,127,472,036,573,451,056,282,352,687,212,425,113,787,678,254,306,
284,722,723,671,632,109,573,937,400,352,898,042,926,833,390,648,542,619,458,
096,134,150,211,576,089,181,628,809,251,183,647,948,505,475,524,218,223,560,
533,505,169,479,961,760,981,129,799,492,378,397,884,696,216,693,615,420,973,
898,570,843,237,721,680,980,246,466,980,671,128,808,595,394,095,718,124,069,
594,664,721,084,473,553,928,354,520,969,729,200,323,533,779,843,429,334,367,
870,090,200,210,692,620,058,891,437,026,806,991,962,011,736,706,485,834,544,
218,273,366,999,476,263,632,461,695,079,976,663,261,398,275,691,764,568,686,
555,332,098,852,407,322,949,984,722,856,797,410,910,319,667,757,233,191,990,
332,457,382,598,665,762,852,612,547,569,014,626,228,225,793,300,439,453,792,
812,069,229,804,221,185,947,226,735,982,003,105,799,136,092,292,850,641,827,
704,050,750,544,763,485,444,140,359,364,021,729,759,386,215,212,021,457,038,
474,632,575,133,044,354,785,622,681,142,802,796,507,484,530,784,356,446,536,
237,605,423,268,937,014,810,459,770,249,759,645,622,786,624,762,815,708,493,
397,129,323,333,663,822,483,356,828,618,770,254,990,985,586,572,928,654,570,
003,519,426,577,574,700,925,329,758,365,162,970,723,314,082,540,397,654,229,
747,731,630,927,899,843,087,916,469,824,933,202,981,109,322,680,741,538,425,
756,402,795,613,579,074,547,933,320,264,470,721,178,539,759,019,718,371,295,
459,768,034,307,415,171,062,322,313,917,155,687,013,510,533,069,455,558,246,
944,368,554,736,453,472,911,915,875,770,682,055,609,770,237,152,011,692,961,
438,523,984,174,821,125,671,968,337,481,237,890,358,128,384,210,897,980,519,
331,484,039,112,536,052,318,179,079,761,229,126,868,988,630,580,920,018,326,
687,009,061,720,191,602,553,297,138,204,121,588,672,603,648,813,550,795,380,
654,761,721,181,820,198,586,221,572,466,511,108,245,835,696,485,296,094,222,
923,867,143,493,925,109,739,973,807,301,407,542,047,727,426,498,748,567,715,
758,970,931,495,484,003,213,112,068,941,246,850,906,671,461,755,656,109,519,
238,282,834,719,959,042,352,108,896,936,739,749,090,343,466,560,501,456,716,
441,162,476,722,985,536,426,776,506,535,418,726,941,075,942,073,641,036,107,
085,147,277,040,142,563,895,206,934,916,845,247,104,549,136,371,495,681,458,
073,099,410,969,650,135,044,175,542,142,313,692,878,867,549,915,440,458,391,
700,713,382,781,739,970,649,679,878,042,707,716,399,246,974,579,253,979,811,
398,905,524,429,005,088,007,757,866,531,708,966,351,142,204,329,128,708,761,
023,648,253,115,815,299,813,168,787,951,006,103,595,850,445,509,656,537,004,
596,574,601,678,600,881,611,692,426,206,739,990,866,781,903,446,264,352,423,
181,674,965,125,876,270,509,144,396,286,837,668,336,105,683,827,751,025,092,
393,571,775,324,649,352,983,113,918,557,533,075,311,231,148,009,795,723,616,
566,717,379,614,495,973,219,565,823,171,751,763,409,565,864,255,692,627,900,
151,287,895,628,792,253,670,403,008,355,812,264,176,744,440,286,881,957,597,
646,314,015,949,826,835,745,508,427,282,710,019,389,439,434,750,462,816,267,
195,885,717,779,370,954,044,597,764,521,276,661,538,370,090,129,440,776,726,
431,970,281,864,364,883,172,384,317,763,173,015,573,174,730,105,703,544,104,
794,032,907,059,281,136,180,160,963,879,362,724,066,519,540,629,892,547,759,
345,438,062,657,985,328,974,585,094,341,533,536,555,251,365,699,484,554,272,
468,784,584,337,236,015,055,201,094,812,075,438,858,751,703,267,480,845,541,
892,275,747,518,488,812,122,286,229,417,040,199,785,511,165,173,355,187,112,
664,601,380,429,021,322,410,170,838,912,703,948,336,802,233,824,617,417,421,
399,828,251,733,299,269,029,247,636,006,661,256,246,578,788,590,610,467,576,
468,127,710,651,116,540,430,608,767,404,199,381,898,745,575,894,906,387,102,
597,749,036,501,190,132,898,546,536,673,681,917,392,169,430,222,548,875,673,
091,522,987,760,682,985,099,639,122,356,604,011,263,855,194,470,608,686,019,
384,865,682,642,058,275,259,983,732,640,107,905,390,066,852,305,201,003,386,
046,093,648,100,304,882,092,932,669,029,601,462,261,638,490,041,737,585,475,
701,225,388,652,075,243,296,223,697,433,227,659,941,910,459,672,236,539,697,
066,128,237,974,210,197,056,526,215,972,549,318,594,771,289,547,313,504,398,
417,519,236,187,648,308,509,557,254,963,375,739,152,361,612,424,902,015,013,
837,059,527,876,151,516,609,386,395,311,079,304,749,616,630,543,050,845,976,
174,546,213,471,951,070,623,624,692,508,709,394,107,104,850,769,098,663,595,
369,321,586,132,482,852,691,985,262,622,620,912,842,348,568,812,031,310,984,
775,080,676,042,087,098,915,959,743,237,143,682,831,610,209,249,047,190,566,
914,715,016,289,235,978,986,255,374,146,070,008,234,650,264,617,721,274,809,
099,083,277,987,778,812,638,138,614,633,818,391,823,407,985,113,496,370,960,
833,990,120,349,043,424,791,661,590,785,619,615,619,643,789,093,587,807,592,
694,338,435,906,754,070,012,846,836,122,407,776,262,769,359,949,505,518,773,
568,788,135,113,457,114,827,043,728,967,367,140,147,806,860,656,695,477,835,
421,781,383,452,465,143,475,582,401,985,507,197,961,667,827,421,288,198,632,
116,042,666,115,951,831,219,123,490,520,775,533,297,961,300,353,661,590,402,
925,599,705,039,837,788,725,094,793,745,108,132,042,999,184,094,747,361,720,
040,548,729,594,409,542,988,529,758,461,860,304,092,022,264,726,906,530,684,
342,430,322,173,979,571,524,104,387,206,269,565,355,602,982,740,388,080,661,
383,436,776,049,299,976,483,665,503,630,679,908,470,916,913,236,994,036,963,
559,542,334,508,009,879,789,980,193,079,678,086,451,305,229,808,144,642,105,
371,812,057,034,786,779,121,942,595,807,037,584,352,245,036,746,469,468,808,
690,749,769,492,439,953,253,919,054,379,780,171,009,981,194,928,586,721,719,
351,032,277,276,839,395,715,666,961,790,256,276,587,528,415,245,246,430,697,
780,247,765,851,573,420,184,261,505,079,475,361,832,388,041,886,920,708,002,
906,108,635,863,746,925,205,462,997,139,019,033,046,984,015,232,192,819,167,
591,434,939,010,737,798,571,170,831,703,839,160,595,548,037,294,025,812,957,
492,902,781,996,616,478,588,323,186,202,110,038,695,541,895,781,694,350,052,
388,965,799,090,249,384,297,452,818,430,078,084,166,894,899,460,179,164,064,
403,768,532,618,993,847,064,841,257,837,951,369,872,246,094,938,902,946,553,
389,463,704,634,838,637,664,731,378,074,585,059,115,381,847,085,490,614,944,
654,411,567,023,896,586,326,144,344,729,864,029,155,863,805,663,921,773,621,
914,578,155,711,411,487,404,040,921,505,073,785,620,112,864,655,293,431,355,
896,812,359,222,050,636,409,012,527,824,691,690,153,750,044,093,254,464,871,
095,792,530,933,241,830,445,893,615,885,005,488,443,848,946,975,714,269,297,
303,958,205,481,827,996,962,084,571,192,774,606,592,074,773,991,059,396,689,
340,704,542,391,638,831,213,268,145,299,676,841,623,991,002,046,289,667,531,
874,033,893,540,600,809,847,085,153,274,213,280,657,525,894,095,731,024,197,
888,322,956,823,095,476,200,747,221,051,643,788,833,446,223,836,702,581,041,
944,130,301,333,732,150,848,193,549,926,149,179,346,124,503,295,634,791,692,
202,058,011,823,599,502,873,414,466,049,742,508,360,594,349,326,086,796,352,
222,032,307,842,318,516,194,764,938,337,140,180,201,071,827,525,602,271,463,
756,226,921,021,147,284,068,632,333,418,548,252,293,135,578,643,106,853,942,
350,643,032,898,578,088,818,473,295,360,014,007,896,877,614,438,519,714,603,
850,199,690,233,428,942,157,525,487,461,171,771,200,171,855,739,214,623,219,
080,650,900,086,842,945,007,096,003,362,661,622,046,998,910,062,377,049,998,
285,050,791,717,964,134,529,273,014,281,332,135,085,035,540,206,297,930,088,
054,848,034,676,877,298,920,898,572,407,032,608,441,638,128,300,359,510,677,
235,966,440,720,856,746,583,189,409,699,865,061,190,716,669,724,410,856,369,
316,882,868,537,971,610,709,335,583,557,881,802,667,562,397,693,527,749,962,
694,846,645,236,574,768,237,081,623,909,967,909,957,994,491,045,522,526,836,
886,878,691,252,871,285,919,324,408,744,055,543,604,847,539,614,627,543,262,
379,850,464,311,584,670,432,550,051,672,989,050,763,825,412,426,301,347,007,
412,832,852,520,406,206,709,623,149,239,414,196,576,064,486,994,295,245,608,
620,195,478,050,844,434,323,680,031,467,662,088,168,795,889,102,145,719,470,
068,390,004,049,492,300,470,570,471,003,715,971,942,782,411,037,378,228,429,
208,488,741,748,697,177,019,022,868,873,891,049,421,752,161,622,964,003,333,
071,265,283,368,422,458,713,700,094,126,463,914,228,089,734,926,873,681,656,
385,757,280,761,819,981,053,744,995,161,059,041,856,903,020,071,779,305,209,
075,810,393,928,772,314,880,746,705,982,862,719,974,377,976,286,427,956,284,
988,230,668,102,364,030,032,903,004,755,341,570,630,646,934,645,737,107,570,
766,072,639,307,048,355,009,644,079,634,672,389,121,891,911,284,732,284,040,
314,888,656,972,817,914,289,328,352,574,702,402,257,855,233,092,855,220,901,
863,185,329,891,464,459,359,290,278,998,195,863,703,533,259,486,129,324,247,
341,741,162,878,220,369,430,882,994,748,083,420,896,555,191,938,821,024,075,
709,591,480,731,133,607,662,592,315,938,343,430,488,579,426,629,454,505,426,
526,036,030,549,047,462,612,135,221,924,110,254,268,666,629,242,285,661,704,
349,003,611,866,286,237,927,181,867,743,031,106,972,593,674,290,822,210,393,
626,852,308,831,292,263,340,580,390,362,329,432,966,146,765,808,473,322,453,
130,848,425,522,554,732,169,190,008,348,495,029,204,592,708,460,448,326,684,
910,890,239,033,641,727,857,066,687,642,803,999,081,327,356,555,633,849,926,
155,462,435,457,463,822,480,240,951,437,904,858,491,038,667,514,016,035,458,
246,781,122,798,279,809,703,730,372,839,781,881,938,756,374,424,452,395,440,
771,574,243,587,894,294,261,027,713,087,449,612,394,156,799,962,161,024,040,
885,348,792,659,467,564,464,367,230,996,830,529,692,928,453,502,892,145,818,
431,467,714,592,838,387,741,216,770,023,627,973,473,002,029,461,194,542,242,
418,681,894,210,874,974,295,967,212,273,392,264,239,723,691,754,789,923,583,
786,905,465,030,813,649,599,296,911,094,100,842,462,888,972,878,584,057,737,
295,525,262,321,498,640,815,865,408,514,179,625,214,048,375,563,859,790,652,
449,302,736,590,464,190,244,678,093,405,529,828,832,391,691,008,187,914,960,
028,527,559,305,882,429,973,798,130,824,506,578,295,801,086,067,179,131,619,
720,698,370,299,704,316,896,797,303,077,574,766,822,901,919,824,248,369,943,
196,875,708,931,222,233,322,067,440,468,481,535,834,344,904,783,657,524,248,
332,298,834,105,060,233,161,321,984,713,483,317,292,322,399,392,764,007,748,
511,549,383,933,829,605,104,702,133,303,467,554,631,688,703,250,240,821,194,
730,317,006,980,279,522,093,533,023,541,995,780,895,189,178,673,164,890,746,
843,903,184,080,652,750,500,574,115,042,259,428,218,442,569,913,860,261,119,
064,283,223,890,781,990,233,393,119,774,810,596,323,483,426,630,472,280,406,
618,553,328,094,606,310,116,652,556,116,774,591,326,276,790,567,776,639,988,
166,060,513,433,307,865,792,031,311,182,489,151,295,042,445,585,720,900,975,
534,193,813,329,079,846,340,676,921,646,371,312,719,895,900,253,705,332,955,
720,392,031,766,379,230,394,187,138,734,814,120,883,872,271,789,341,594,509,
493,151,578,852,427,390,208,279,374,530,049,094,259,264,074,498,551,592,100,
853,089,055,343,424,368,646,531,195,004,814,511,788,658,734,074,492,256,637,
046,241,570,053,511,621,168,548,873,349,250,057,508,350,697,168,826,767,920,
124,023,529,984,590,786,338,761,686,527,662,540,611,793,721,800,452,155,425,
613,380,212,634,607,761,082,948,420,486,365,871,217,373,779,521,187,204,906,
146,530,849,404,309,386,211,097,908,210,415,970,869,945,815,918,452,294,054,
933,976,611,123,644,504,970,897,601,743,328,501,753,052,581,532,102,018,427,
054,793,545,609,974,111,450,066,849,089,762,400,683,263,859,687,761,233,382,
077,979,850,434,867,541,768,454,478,790,082,552,151,105,950,023,896,743,938,
207,785,608,176,269,428,315,827,829,483,345,858,523,948,336,608,851,660,789,
717,669,937,620,629,809,394,293,795,750,387,858,382,094,018,889,245,031,420,
894,025,353,924,794,905,447,331,852,566,678,790,945,064,165,980,982,448,227,
449,837,186,897,253,166,969,608,811,727,322,895,324,390,934,287,475,994,990,
273,757,865,402,202,756,622,416,881,390,986,088,975,186,205,238,636,589,952,
503,600,022,149,580,345,282,294,360,077,076,281,835,569,892,582,046,734,310,
195,022,877,455,697,583,161,678,534,631,924,144,325,095,998,564,190,182,769,
962,584,506,628,510,189,435,119,758,513,447,496,436,863,039,177,988,958,308,
404,188,245,901,339,340,810,570,259,923,780,265,556,483,853,468,217,937,788,
612,282,422,466,710,084,872,130,869,972,163,529,814,962,549,302,699,776,592,
014,139,383,005,009,808,877,962,961,329,446,617,020,830,281,652,287,821,639,
744,200,371,518,713,904,292,408,368,748,577,026,835,134,975,765,090,639,787,
186,441,049,719,551,203,585,872,539,422,022,777,274,504,401,631,111,517,356,
006,251,856,220,815,976,371,292,951,359,233,078,011,873,597,530,397,272,205,
955,625,330,321,622,781,430,621,603,986,470,229,933,798,597,119,510,486,512,
295,987,066,715,876,346,214,088,857,470,252,726,276,926,765,433,104,060,266,
075,121,052,169,814,077,904,029,362,217,198,030,326,447,769,592,081,112,523,
387,712,859,720,937,150,418,205,591,092,998,773,850,345,352,991,674,156,672,
288,520,607,662,325,726,104,343,520,585,754,575,576,596,726,909,911,596,375,
763,189,676,985,023,780,744,608,368,276,655,670,289,432,488,452,961,287,504,
957,054,452,866,434,977,005,906,203,315,858,617,115,713,504,726,886,645,134,
507,275,896,338,614,680,318,414,644,798,233,979,517,361,183,061,929,594,740,
705,345,612,606,848,013,144,187,675,346,843,753,104,349,471,802,407,083,298,
756,503,814,265,702,854,612,245,068,461,948,641,192,719,564,614,037,665,870,
130,275,758,614,905,750,658,281,996,962,393,378,536,565,445,281,068,457,803,
474,682,940,669,349,006,331,104,306,012,372,400,972,594,400,834,023,226,003,
454,233,404,697,945,491,801,852,075,986,176,021,766,486,515,836,906,603,783,
088,913,627,416,414,575,009,515,978,264,430,702,188,116,208,222,659,673,840,
497,494,134,757,654,550,303,165,833,825,842,483,602,616,445,812,455,564,581,
830,296,516,079,713,744,941,508,439,219,984,638,907,976,408,057,061,200,589,
907,081,933,605,277,299,782,297,471,896,600,286,892,297,854,210,599,407,843,
954,970,228,090,817,690,982,165,135,225,269,436,819,635,670,452,999,341,327,
656,141,823,953,644,688,999,278,963,774,498,098,150,864,840,621,556,992,737,
621,381,301,318,608,432,115,839,367,242,858,068,248,846,940,644,860,589,890,
344,603,972,759,109,201,125,580,567,736,424,813,255,498,909,008,262,884,200,
520,587,094,475,615,275,012,695,016,379,393,864,873,083,593,448,693,779,130,
092,465,157,259,570,633,234,491,439,921,997,547,157,014,871,805,007,427,101,
923,915,870,427,258,691,984,024,685,321,540,840,415,294,994,093,313,475,904,
888,406,025,914,137,845,377,234,262,107,272,187,203,615,005,221,831,126,243,
376,642,671,229,253,366,717,571,306,755,488,967,969,863,241,509,026,318,426,
863,982,441,215,445,637,736,032,330,664,944,319,008,734,869,355,273,220,950,
822,639,616,862,511,254,360,989,854,105,881,394,173,304,261,603,119,604,376,
741,054,845,232,892,313,652,326,005,281,923,853,478,773,461,833,559,282,774,
399,362,291,075,541,689,638,301,025,910,860,999,609,797,530,323,186,482,398,
228,393,712,108,706,935,997,354,562,532,776,853,530,600,839,435,680,105,221,
118,047,182,277,706,128,688,016,535,949,468,566,946,310,634,825,373,177,380,
002,825,503,704,638,320,763,102,584,624,648,680,091,269,078,556,070,667,235,
326,536,433,303,237,491,696,159,569,283,336,156,746,355,764,882,347,947,292,
960,165,554,658,773,329,236,419,531,905,109,386,136,472,324,090,523,097,642,
205,091,551,440,643,912,388,236,014,655,474,495,781,233,307,668,441,270,602,
976,229,772,391,151,889,796,180,509,676,733,238,522,710,288,901,718,105,392,
472,200,371,089,619,014,275,210,739,784,905,847,229,934,326,926,696,752,282,
032,372,626,537,328,835,726,854,760,201,129,595,030,930,463,373,148,446,569,
037,573,025,942,934,441,724,145,865,723,386,602,005,561,029,512,097,822,691,
731,444,005,923,809,210,167,109,742,924,091,573,938,672,654,443,001,676,151,
049,036,566,986,855,655,912,394,149,602,617,018,404,417,178,004,956,290,920,
762,817,419,460,250,996,637,202,313,378,418,505,900,350,984,952,590,990,062,
834,345,184,064,863,779,169,175,179,608,501,974,445,252,393,249,032,783,749,
626,024,345,563,302,642,465,266,514,901,291,382,133,664,486,312,040,595,309,
162,795,445,284,278,934,494,829,008,726,695,948,082,036,842,954,902,618,192,
955,667,449,531,829,769,007,604,779,152,624,029,032,844,667,381,313,346,946,
241,111,704,777,133,539,347,022,429,585,995,645,989,002,121,657,710,171,601,
997,219,623,209,694,538,697,418,447,899,050,520,171,563,379,920,007,080,979,
720,013,941,745,452,280,903,460,745,501,697,408,742,673,979,447,950,834,689,
805,043,007,295,314,288,356,738,529,483,526,936,835,052,170,633,720,357,004,
002,953,331,245,437,133,600,938,302,070,960,981,830,747,577,833,341,944,931,
638,012,694,578,612,824,191,180,318,944,225,084,592,569,793,660,644,512,052,
155,715,454,166,684,742,495,967,550,287,728,010,607,851,110,082,766,859,692,
119,179,157,213,730,047,768,489,316,721,318,700,003,498,659,987,383,182,537,
394,859,413,236,265,615,736,600,366,776,248,708,192,495,947,526,447,034,105,
470,163,208,384,879,889,873,214,576,338,774,625,392,976,019,541,307,257,619,
458,793,472,252,856,344,610,344,084,596,601,495,446,744,977,017,789,190,131,
252,914,509,381,640,851,918,279,783,335,265,671,632,505,654,553,255,502,426,
201,401,688,556,089,486,592,841,906,434,080,722,266,343,689,669,294,215,708,
784,913,155,612,927,767,556,205,387,706,504,570,108,867,885,292,414,212,701,
516,212,479,840,776,727,666,877,302,610,597,432,837,168,361,663,618,531,784,
069,080,014,708,260,420,533,346,838,870,748,624,330,045,669,544,667,946,682,
179,041,835,935,367,907,790,821,747,731,806,503,748,803,352,412,587,250,709,
172,327,487,136,912,361,291,073,073,122,508,757,333,764,567,365,780,516,302,
986,020,370,426,240,748,191,245,930,205,292,033,082,377,240,282,110,220,167,
797,483,519,527,473,137,645,770,840,951,729,426,854,941,899,857,148,756,816,
570,765,744,586,812,500,238,209,253,296,921,378,745,479,388,058,260,781,517,
178,884,350,417,036,917,424,892,334,531,504,523,240,061,561,510,077,011,447,
716,967,841,094,321,372,582,987,554,948,567,346,468,893,304,346,634,699,351,
347,928,830,302,397,374,951,929,420,465,113,463,975,396,113,521,228,655,580,
391,713,358,663,062,963,031,508,428,300,593,848,831,325,717,015,859,032,228,
604,333,621,822,642,702,350,288,352,795,487,800,560,551,075,955,628,790,050,
113,266,056,339,745,220,314,432,309,863,019,452,212,035,396,113,126,337,266,
976,745,240,334,976,977,567,769,524,688,152,866,404,017,095,489,692,239,352,
474,029,351,279,269,189,340,090,859,467,981,131,320,719,531,534,321,148,621,
114,823,728,401,951,405,955,142,987,167,280,579,071,826,243,596,904,999,158,
204,533,884,091,782,370,233,106,492,289,513,227,422,530,414,801,678,739,915,
871,793,447,112,137,959,378,831,522,747,610,701,394,076,292,614,201,324,283,
329,345,619,098,142,240,271,523,845,673,745,816,752,413,806,110,336,771,552,
219,949,606,827,843,534,321,315,324,682,162,097,174,714,858,832,745,516,551,
833,460,577,144,305,235,660,527,409,099,591,835,667,275,756,359,578,910,307,
292,486,435,170,087,697,142,005,178,186,444,313,301,862,385,045,325,896,893,
653,605,366,493,167,137,728,145,072,809,725,865,769,080,483,306,924,418,605,
792,428,662,872,963,551,604,141,153,040,866,991,432,267,153,043,255,837,889,
956,401,998,554,071,966,084,417,640,422,338,829,747,504,855,055,040,812,753,
281,317,284,536,334,009,884,602,575,763,323,469,193,895,163,520,668,268,962,
552,513,960,572,648,850,175,567,701,141,577,790,841,911,600,936,237,747,879,
429,674,490,581,189,517,018,285,631,926,031,658,068,648,510,030,601,569,139,
782,259,697,977,244,843,331,968,382,794,476,270,399,485,652,981,889,605,856,
407,517,439,565,514,562,047,983,773,956,175,597,154,271,641,643,321,877,750,
606,152,333,730,563,571,346,362,122,949,666,770,039,509,747,583,134,162,122,
428,578,720,226,262,162,054,137,874,558,774,924,717,250,200,358,852,305,763,
127,930,284,713,213,201,286,951,302,597,741,031,978,715,285,599,947,276,553,
108,586,008,241,065,063,178,448,314,626,474,905,576,266,130,817,025,082,719,
971,597,743,706,253,485,424,302,742,791,666,220,205,189,048,102,714,274,674,
225,078,429,352,492,855,184,959,553,610,100,475,419,996,323,755,478,425,401,
990,141,973,542,690,531,331,079,293,801,435,169,210,256,526,639,182,725,957,
911,591,910,964,446,523,780,871,344,192,563,033,253,039,439,952,095,330,796,
469,729,076,251,541,868,337,500,662,675,808,249,901,796,253,188,241,975,717,
111,901,283,007,672,972,938,092,539,389,495,826,113,544,289,433,969,864,983,
435,142,314,585,414,336,498,010,046,967,763,653,610,892,465,121,660,371,665,
031,746,662,610,164,568,254,385,432,304,708,390,983,411,367,893,128,583,543,
174,522,841,966,537,296,954,894,917,244,774,549,660,375,262,553,452,709,663,
666,274,544,306,107,763,387,956,575,582,365,933,453,474,309,173,301,387,670,
310,691,347,071,340,713,701,400,593,261,721,141,026,282,044,634,637,785,051,
477,557,866,515,111,748,200,546,781,177,549,422,607,259,208,712,807,934,931,
701,276,822,407,645,321,128,641,343,174,895,766,248,116,279,606,615,800,507,
392,350,873,263,433,491,796,580,087,335,112,131,689,795,949,683,992,957,921,
811,433,176,594,507,313,673,759,469,290,677,749,561,351,743,619,062,539,400,
206,404,404,432,262,383,522,059,946,279,116,694,021,131,952,960,704,664,288,
255,079,892,722,623,202,538,861,435,473,576,301,102,312,232,520,083,585,982,
748,890,328,018,248,911,061,138,960,889,882,480,509,161,506,204,397,743,166,
859,357,870,214,601,908,769,949,671,355,901,724,066,217,531,113,140,274,323,
350,658,041,026,182,117,887,376,623,957,987,438,151,028,064,052,055,855,433,
849,117,714,870,678,076,182,652,932,105,565,093,030,868,467,823,159,015,169,
129,935,193,728,435,180,828,634,745,609,095,964,798,037,511,158,099,685,455,
020,818,837,581,167,255,193,830,608,769,156,632,049,565,631,799,039,350,023,
280,734,862,724,321,165,293,255,712,334,708,603,806,930,654,709,286,333,343,
432,763,949,427,665,405,953,508,276,212,989,055,760,841,193,864,472,017,348,
560,372,069,136,104,977,670,066,093,379,681,137,429,764,365,866,139,157,314,
477,595,107,534,314,692,627,129,558,787,732,170,895,184,847,549,226,911,073,
057,960,003,863,806,426,645,664,670,022,440,251,806,242,877,147,276,983,360,
819,266,507,500,708,586,781,578,192,022,146,008,741,865,976,630,934,489,551,
299,025,175,058,320,664,443,807,185,139,994,432,023,330,119,041,730,326,827,
668,896,217,143,852,749,212,440,235,958,604,049,390,035,880,361,467,901,394,
845,539,586,822,578,421,185,945,829,075,541,236,245,443,909,351,969,486,837,
077,019,130,422,621,574,583,769,301,678,610,483,362,645,646,407,207,215,158,
004,698,845,834,893,557,119,775,513,891,142,941,046,117,479,366,190,658,822,
054,153,177,313,341,190,491,944,094,064,969,753,001,964,041,356,190,757,296,
292,065,038,669,078,243,261,791,523,253,422,140,782,398,767,029,902,492,436,
173,298,293,224,319,669,781,994,285,358,121,404,129,494,199,043,897,714,950,
618,122,806,583,258,832,568,125,290,664,814,240,222,281,369,029,122,184,595,
609,892,070,684,605,506,051,197,609,490,804,826,083,449,406,942,823,736,140,
036,415,915,809,617,011,084,990,871,893,973,053,716,873,301,628,810,062,056,
576,462,775,539,425,001,375,864,751,450,668,908,613,740,742,499,006,223,869,
569,416,016,282,981,127,976,534,951,966,851,971,601,921,955,761,275,812,003,
584,818,105,999,045,992,962,572,484,052,891,843,307,816,200,953,896,554,468,
131,774,345,243,717,932,067,624,052,736,502,160,455,779,393,865,783,134,419,
588,060,774,909,417,085,657,506,180,174,550,600,228,854,829,360,736,832,455,
955,204,098,437,915,868,852,827,614,941,665,270,755,250,327,090,993,871,001,
566,525,647,200,186,868,870,275,253,474,566,694,613,391,611,713,075,874,336,
362,114,824,274,673,800,635,711,666,688,485,290,315,473,248,008,484,000,180,
285,083,284,350,261,216,048,280,002,916,037,830,562,343,744,353,001,086,810,
137,393,111,393,961,223,859,145,039,524,615,699,990,730,389,999,254,413,066,
247,984,183,586,913,466,835,539,620,713,201,484,244,923,137,314,535,258,057,
006,970,098,514,520,278,416,718,544,768,701,534,281,463,734,559,040,158,258,
642,552,113,150,247,090,361,613,559,424,461,909,976,025,768,329,412,215,295,
982,294,268,797,193,169,669,279,177,221,410,086,683,281,809,152,976,104,205,
711,117,327,550,952,722,606,806,956,733,645,607,463,422,671,834,929,079,473,
546,067,364,700,752,255,083,180,737,211,364,409,233,310,200,333,647,509,426,
283,761,183,431,005,969,969,125,760,360,661,990,061,409,393,038,424,954,265,
805,318,567,156,013,642,207,215,454,927,995,594,467,815,244,133,687,010,938,
634,126,629,925,367,273,722,685,328,899,072,118,388,549,693,531,129,834,686,
314,744,653,427,004,455,005,203,040,513,454,962,618,674,269,388,036,840,263,
941,217,447,767,573,318,254,008,796,529,497,719,479,592,851,039,194,231,822,
526,885,842,129,679,698,907,535,732,274,185,153,735,974,539,122,468,552,151,
242,839,994,091,781,680,381,380,878,020,668,860,348,416,425,985,869,098,539,
035,782,028,698,199,230,460,095,966,389,960,607,293,298,854,058,632,026,206,
177,837,226,670,355,915,088,705,270,307,123,805,684,974,417,278,714,099,312,
875,989,049,441,389,762,736,780,514,383,830,200,985,383,759,427,194,360,070,
128,982,205,086,905,860,908,740,818,803,759,130,674,122,476,459,588,870,390,
488,020,447,461,384,435,015,403,372,515,542,985,532,013,237,995,406,081,611,
827,069,628,790,383,576,193,471,791,909,351,893,519,137,687,341,721,636,227,
412,872,952,249,453,486,585,103,280,183,467,990,115,092,812,726,953,038,460,
329,736,877,017,601,959,759,493,290,089,114,083,712,230,846,100,399,878,442,
507,591,766,433,095,138,835,877,050,292,012,911,609,402,899,894,604,989,450,
538,977,956,941,352,961,357,881,955,872,452,810,199,287,275,166,168,585,476,
858,078,018,073,773,789,687,723,507,189,868,342,214,958,742,265,553,360,686,
977,632,958,427,501,705,096,433,000,882,744,463,008,647,744,586,086,488,873,
362,545,538,693,108,470,206,310,879,058,343,365,106,797,219,829,423,732,377,
050,017,228,937,521,880,166,630,145,180,987,643,033,521,512,338,223,421,855,
919,524,982,009,822,933,702,400,492,178,805,843,038,964,480,172,280,763,025,
867,293,134,710,098,571,230,420,713,847,479,618,965,005,951,477,287,123,024,
156,008,349,925,344,469,066,249,100,326,702,811,232,443,550,079,554,995,782,
920,837,935,576,529,786,137,193,135,171,182,329,980,026,883,638,252,015,028,
504,701,012,192,759,015,860,053,562,807,418,652,523,183,414,794,855,798,701,
847,316,043,291,869,410,687,389,226,615,405,823,072,278,378,663,783,543,843,
844,682,773,999,473,598,793,063,540,127,813,633,609,191,193,290,419,758,050,
943,605,100,421,318,475,446,141,267,803,737,123,665,592,030,039,564,702,745,
394,741,724,730,096,301,124,841,048,532,738,718,743,691,947,433,079,333,662,
276,931,281,102,189,260,194,205,861,849,342,100,158,502,134,073,441,428,095,
147,845,484,444,733,433,351,219,684,133,031,283,373,325,819,569,782,424,845,
206,921,546,852,397,165,486,365,389,527,682,739,116,741,011,253,157,868,355,
512,200,184,576,169,102,315,228,075,329,019,075,173,768,634,984,795,308,994,
863,170,854,510,168,358,968,183,378,328,004,476,170,925,241,237,675,287,285,
334,394,518,979,510,179,121,158,931,582,670,122,641,275,404,868,112,790,676,
254,559,837,456,133,998,927,217,480,688,664,211,161,440,169,446,411,187,744,
833,442,229,147,774,927,956,412,230,695,940,968,810,076,397,147,933,634,958,
334,711,818,776,581,536,119,173,830,413,915,435,382,145,221,322,390,326,753,
213,820,506,597,372,176,952,692,200,356,450,068,182,785,623,897,243,377,219,
635,734,190,916,014,027,196,774,679,709,873,419,392,548,543,323,494,464,690,
549,586,852,957,434,933,739,707,220,369,011,786,867,045,165,132,428,587,777,
047,873,995,566,117,903,035,766,867,332,942,825,130,843,911,821,681,372,023,
605,450,527,401,776,784,761,316,704,951,020,107,991,320,081,568,993,756,550,
478,325,914,505,714,836,011,953,615,369,136,477,644,844,151,357,655,818,441,
726,610,575,275,074,749,247,845,862,026,224,913,064,890,749,299,763,197,722,
310,898,324,702,991,601,174,200,072,205,153,121,527,313,694,040,779,396,828,
039,469,783,401,003,440,412,549,584,424,787,647,829,944,150,941,132,152,906,
737,470,012,507,681,740,342,485,160,034,489,287,613,152,557,893,192,144,685,
480,063,692,618,542,531,631,709,768,411,567,846,785,227,055,104,733,196,894,
880,475,213,174,139,682,164,264,903,848,980,019,172,725,544,951,405,752,222,
369,489,403,188,548,162,234,796,483,606,279,725,220,893,234,538,724,450,984,
897,553,357,466,798,391,410,508,302,382,482,760,284,344,722,296,532,083,748,
507,456,458,245,576,262,727,240,283,513,128,600,868,297,081,183,112,042,285,
865,687,451,012,392,480,465,155,350,230,868,320,441,050,067,725,772,184,667,
933,600,925,952,830,846,230,550,385,279,133,877,982,132,120,733,562,775,303,
194,496,260,365,474,519,108,415,956,215,542,188,847,121,215,739,490,441,464,
840,836,934,112,330,083,941,205,541,256,561,414,705,734,584,478,817,343,159,
078,126,948,372,873,474,742,041,220,185,093,817,373,550,360,553,065,283,905,
508,958,915,839,306,408,943,552,242,318,565,199,887,647,121,606,920,489,055,
046,960,700,281,119,695,761,851,847,689,277,971,869,723,168,932,187,925,591,
446,736,558,606,797,640,127,265,609,914,607,597,168,450,366,119,904,288,869,
848,246,224,404,067,157,729,267,430,699,335,645,683,829,604,233,958,765,572,
149,604,620,981,999,652,474,358,283,777,893,515,655,906,345,632,780,761,859,
275,158,881,196,588,826,351,674,139,918,607,490,754,649,224,020,398,144,572,
415,352,803,409,722,527,201,024,850,554,001,882,845,212,351,909,429,663,949,
909,432,331,862,298,656,635,811,046,547,608,139,070,154,990,680,826,831,214,
070,381,187,359,061,128,048,384,241,502,416,508,132,476,460,153,404,778,043,
707,413,722,279,367,915,719,952,029,564,243,076,462,620,101,096,770,000,223,
361,186,851,823,878,444,988,633,562,681,296,865,540,408,917,623,743,046,806,
188,186,518,788,844,694,791,362,749,892,001,921,977,951,210,240,773,910,566,
013,778,390,852,408,798,478,272,740,838,667,187,869,266,321,984,967,865,297,
563,661,381,697,182,255,031,408,143,185,309,240,312,643,127,209,168,677,332,
534,756,558,046,009,998,385,339,107,541,506,129,341,263,646,002,625,692,799,
366,203,203,129,570,693,619,723,322,948,757,346,268,004,575,341,823,389,495,
371,406,497,530,482,588,736,018,153,806,902,786,901,523,738,736,812,948,401,
752,713,500,757,545,259,244,860,920,706,992,332,509,634,661,201,301,127,534,
154,866,129,419,310,731,963,120,711,140,054,545,628,547,768,926,903,125,940,
384,931,254,270,537,287,385,066,835,885,678,155,078,265,377,923,258,353,559,
815,728,619,405,372,998,382,117,851,981,422,320,465,440,850,334,043,717,628,
132,833,040,688,305,776,624,798,961,188,681,124,969,104,842,097,263,275,667,
267,911,666,700,267,708,566,608,370,299,725,026,600,066,113,407,703,855,838,
629,695,739,695,957,119,438,009,839,158,170,503,487,807,595,490,226,695,016,
994,854,004,864,675,455,828,936,031,763,163,978,780,907,149,527,524,239,782,
830,036,176,085,321,794,648,912,064,635,234,968,380,911,032,338,938,277,129,
072,031,750,783,997,714,611,360,475,115,842,654,515,862,546,438,573,341,992,
479,003,797,077,292,293,354,244,958,959,567,667,375,396,228,094,991,810,112,
509,378,918,525,649,410,765,844,111,814,685,928,481,216,899,200,789,632,602,
588,842,745,901,561,207,937,495,420,046,396,417,532,297,581,724,802,998,796,
631,413,199,723,105,713,910,248,590,576,837,568,780,615,141,425,611,270,678,
054,953,244,822,502,754,899,269,365,519,388,823,092,672,761,621,657,665,669,
451,742,108,499,809,450,460,360,819,458,787,741,638,940,800,750,153,270,851,
758,721,638,873,951,260,737,633,581,885,065,932,742,914,064,171,242,251,729,
669,927,600,556,052,752,534,496,368,680,236,428,501,937,801,992,748,445,406,
954,732,861,516,611,981,105,492,788,045,900,588,548,668,443,236,110,890,672,
039,584,857,241,658,565,780,819,591,362,862,945,477,668,509,127,429,665,476,
123,852,239,386,287,995,376,829,132,411,654,696,374,302,966,729,137,046,148,
748,808,358,348,872,266,769,626,364,538,305,192,260,220,565,766,515,545,877,
168,994,378,467,404,026,714,074,388,176,236,445,305,362,914,433,893,785,813,
497,043,460,387,882,952,269,471,128,764,895,949,348,302,189,815,776,826,578,
912,567,702,847,221,199,058,517,500,706,857,855,749,085,352,848,977,014,266,
487,533,412,245,549,269,347,736,129,748,694,422,892,882,183,865,426,022,483,
327,606,067,972,349,294,660,192,197,315,059,430,403,391,059,557,275,884,175,
496,154,548,412,297,472,902,749,471,452,951,378,003,756,883,426,397,877,424,
793,290,736,934,417,773,411,862,729,585,039,746,229,436,884,172,991,051,148,
387,811,295,101,772,540,761,346,177,810,323,820,862,940,578,316,696,164,779,
087,836,041,559,000,356,165,827,385,232,840,799,818,132,464,930,207,181,159,
274,076,149,162,560,204,527,815,238,934,023,011,720,152,548,531,515,129,481,
058,416,429,531,510,907,585,319,558,911,840,668,067,626,180,039,021,749,649,
201,797,446,067,673,507,411,307,880,811,670,438,379,204,598,548,539,055,263,
710,833,421,022,511,020,085,373,892,739,250,812,420,049,382,745,869,430,826,
500,586,260,870,443,758,840,483,838,011,552,843,653,509,091,543,479,577,952,
149,107,764,907,758,027,653,019,686,923,802,911,037,589,638,561,483,633,473,
649,352,070,125,251,254,139,407,880,649,320,168,915,193,741,147,791,953,836,
539,440,106,230,554,060,248,682,523,458,352,351,290,923,728,971,563,722,666,
959,535,640,594,631,519,512,454,482,355,705,058,314,743,555,860,395,868,399,
095,244,666,642,914,356,011,243,474,681,801,691,339,203,810,518,531,086,578,
803,623,252,233,098,619,224,458,497,603,583,898,903,082,029,283,801,328,635,
699,069,046,196,526,423,195,021,412,263,646,047,669,495,705,173,440,972,724,
382,657,137,447,585,854,596,974,672,705,602,694,431,238,976,246,027,449,533,
271,072,771,929,522,495,807,087,789,431,488,828,365,061,561,147,790,899,434,
100,697,548,500,559,783,977,097,864,671,211,942,277,649,996,586,090,240,098,
965,602,935,372,876,848,698,286,645,216,749,284,365,331,186,918,127,147,437,
339,871,697,859,796,469,090,122,334,301,311,331,830,544,836,223,103,053,148,
970,056,611,564,950,391,385,975,305,055,482,665,406,453,682,982,090,080,708,
349,873,057,579,884,096,949,372,108,597,165,984,351,019,405,029,187,875,902,
062,139,692,658,361,109,247,262,004,720,822,032,291,952,566,482,690,715,755,
785,662,430,537,075,622,720,872,655,132,934,374,951,681,858,782,717,058,084,
413,082,700,270,822,754,782,466,429,230,958,034,251,962,765,959,046,992,765,
988,752,187,698,704,082,533,542,404,310,391,806,196,482,312,853,881,346,628,
327,751,457,227,598,419,132,942,827,109,814,987,710,332,930,170,885,542,185,
728,340,570,469,389,018,767,887,198,246,131,049,503,876,421,508,031,484,858,
970,431,076,604,688,231,860,054,484,426,276,900,435,999,815,064,469,387,350,
991,974,157,351,908,074,046,509,536,488,515,144,472,421,037,813,382,182,143,
025,337,273,985,185,330,278,582,418,319,164,751,211,936,052,485,262,412,461,
378,822,082,251,859,214,601,393,779,116,897,462,346,446,418,287,654,794,763,
748,771,862,880,893,688,262,475,453,675,337,019,683,709,798,167,610,576,802,
013,722,479,572,477,397,940,472,801,569,064,807,324,124,128,550,097,041,307,
532,149,234,545,104,081,772,074,436,502,507,492,419,221,535,559,352,092,047,
624,396,507,007,175,720,739,806,466,349,517,944,722,263,228,002,079,235,500,
658,526,703,892,845,486,932,830,736,442,769,335,736,687,713,437,203,011,978,
794,965,068,954,935,575,897,140,869,099,587,668,773,654,299,387,665,339,401,
455,363,272,419,983,194,563,206,944,031,456,424,194,647,755,328,772,013,720,
404,619,816,497,897,083,841,634,679,589,976,650,046,725,687,283,996,740,098,
036,670,799,514,347,629,570,240,513,439,446,660,317,767,097,387,287,683,467,
533,337,279,645,898,064,319,798,469,555,343,958,564,545,066,349,509,891,333,
496,924,934,280,495,624,972,610,214,631,559,877,600,015,154,075,838,482,045,
901,661,614,257,790,021,499,357,487,717,334,398,041,182,121,771,996,830,931,
570,815,368,275,710,693,943,192,177,805,955,374,599,917,632,585,517,597,903,
246,751,685,000,818,021,228,904,007,519,586,120,973,087,790,721,908,317,245,
674,873,471,793,029,465,883,556,976,085,300,431,676,125,599,078,054,465,512,
179,304,463,687,785,359,537,050,523,268,766,938,790,344,866,704,886,372,673,
272,840,097,650,920,032,438,303,490,910,821,782,120,810,465,396,708,134,856,
594,215,663,069,259,075,200,213,939,638,019,664,415,069,625,551,750,650,133,
190,762,707,962,850,080,645,850,140,475,951,383,597,563,448,864,796,163,536,
740,426,704,603,764,334,199,312,990,301,637,799,158,738,024,913,058,676,843,
450,205,094,200,070,288,558,533,269,448,056,002,474,580,911,659,548,723,324,
032,924,088,976,393,322,195,371,602,664,884,762,274,001,376,702,299,643,591,
832,995,686,311,119,640,804,908,033,802,803,890,560,966,307,390,439,746,735,
769,010,411,997,709,038,747,824,025,000,782,032,461,538,712,138,872,690,738,
247,982,166,253,797,034,796,754,039,704,677,887,756,319,026,945,626,900,245,
570,930,870,497,938,213,585,997,537,376,438,884,523,263,507,668,831,765,562,
653,114,746,146,545,850,092,287,563,494,193,522,957,220,814,005,106,028,435,
023,602,365,404,179,879,227,216,292,367,528,562,511,515,344,882,690,822,112,
010,906,649,047,155,493,430,694,365,930,651,426,073,109,024,397,497,793,203,
934,054,758,709,502,250,069,383,233,585,704,118,387,213,123,651,203,726,292,
381,271,723,305,698,940,186,503,057,673,248,618,966,639,917,320,832,273,172,
952,570,451,987,144,110,727,972,462,785,072,859,450,870,522,050,901,684,859,
697,588,440,432,115,406,019,639,872,156,508,249,086,093,498,320,393,713,283,
340,178,229,332,688,844,588,776,467,320,144,563,941,421,808,580,846,213,215,
610,774,058,507,848,426,470,273,954,874,699,938,143,550,582,317,707,528,492,
931,404,242,025,872,739,471,821,456,350,546,481,870,003,751,971,250,590,839,
681,928,523,491,924,618,509,231,570,233,754,261,119,836,841,361,028,953,586,
222,603,006,431,501,028,023,679,673,755,506,441,153,995,221,059,641,752,169,
987,374,307,496,696,834,151,966,484,003,536,707,318,942,519,579,056,216,290,
593,002,760,321,838,728,954,814,623,589,834,803,319,601,685,226,279,368,410,
020,819,474,994,533,168,170,092,402,371,212,918,222,572,838,214,550,570,791,
518,147,529,044,928,801,704,198,268,240,337,968,183,341,140,859,225,045,922,
101,245,856,107,830,792,022,489,877,738,427,165,193,765,282,630,552,908,038,
754,334,998,187,872,649,044,825,747,629,859,593,573,131,894,797,583,933,862,
106,191,962,551,041,659,076,060,060,510,622,388,027,260,652,564,676,109,653,
913,617,266,543,712,949,458,517,688,812,235,022,297,063,648,162,179,520,167,
299,572,894,227,979,263,699,171,133,834,984,794,262,056,563,220,314,207,167,
815,107,259,260,009,743,876,585,160,880,309,596,054,220,729,038,238,942,258,
592,154,181,931,308,983,191,778,266,997,660,893,071,126,213,219,051,721,137,
629,617,523,501,245,508,957,383,202,868,231,843,181,299,042,816,706,588,973,
937,482,097,371,513,860,217,189,098,640,190,446,838,791,769,621,907,595,314,
523,709,731,821,409,639,425,923,122,046,506,450,814,302,634,224,982,345,251,
356,198,072,429,594,167,046,114,133,757,770,907,931,686,826,734,960,525,797,
138,650,840,526,410,238,804,029,526,891,994,288,518,216,895,970,597,372,279,
408,894,768,960,031,702,858,249,187,483,923,266,516,042,549,441,261,078,629,
894,928,582,401,878,645,424,459,694,079,147,271,384,763,558,964,722,780,970,
278,001,423,554,236,105,775,970,222,103,962,737,258,226,686,081,828,729,334,
409,161,139,548,657,517,399,055,226,876,268,879,373,385,634,838,951,831,016,
904,281,610,991,846,336,882,340,265,546,791,874,579,811,640,773,933,053,227,
289,045,426,410,402,583,177,968,556,227,113,202,719,280,996,186,391,557,545,
282,375,483,549,922,125,335,138,433,504,876,450,505,688,596,320,566,957,415,
290,799,485,660,949,494,304,993,043,452,216,661,637,473,636,123,390,685,877,
890,657,398,306,732,672,558,354,940,275,417,516,760,720,556,459,542,047,909,
284,319,463,321,106,016,326,159,425,902,297,374,237,710,803,542,947,372,216,
902,052,195,854,827,987,640,198,156,931,599,514,075,186,176,696,931,768,087,
647,288,548,281,036,897,616,663,169,990,103,979,508,694,145,963,280,591,030,
414,790,963,131,010,113,454,819,967,866,715,133,955,476,341,460,408,949,907,
746,410,224,357,824,076,396,413,767,189,924,826,428,647,433,474,389,520,170,
973,331,569,410,764,274,972,019,186,656,839,702,991,271,839,042,522,374,793,
925,375,658,335,560,585,123,420,040,793,837,954,924,666,204,181,080,154,927,
765,419,323,908,944,683,191,479,652,972,021,317,639,609,710,370,000,633,710,
583,735,965,657,661,292,340,588,164,786,288,286,623,046,413,942,812,153,606,
932,459,056,651,421,439,150,062,234,963,342,913,956,490,535,144,561,464,056,
826,406,252,620,067,347,729,414,223,666,556,950,896,860,007,040,690,968,659,
020,013,981,726,324,797,005,765,776,703,739,830,904,488,005,951,509,629,171,
793,820,429,221,774,931,522,794,982,460,089,422,140,323,588,417,862,171,998,
896,714,061,503,635,265,140,334,064,989,843,472,792,809,335,309,416,690,069,
542,424,846,703,833,339,996,729,934,614,754,064,810,094,189,484,279,594,873,
640,215,340,764,112,037,708,023,153,405,861,895,005,058,563,334,458,277,718,
154,267,767,232,541,345,903,505,173,772,414,481,386,174,076,817,194,966,369,
970,885,460,751,857,769,364,947,482,438,865,649,008,178,587,971,368,432,372,
564,305,384,821,263,647,624,143,714,782,386,144,127,796,818,361,112,046,217,
848,198,189,222,120,883,041,656,592,698,642,062,175,623,771,566,055,762,856,
939,718,584,276,123,821,115,989,595,962,503,311,924,177,069,626,265,001,032,
409,825,723,296,326,387,355,756,808,500,399,898,185,768,713,864,845,957,781,
061,971,662,219,242,311,276,581,655,140,341,999,719,887,807,526,311,182,589,
389,047,998,503,561,030,722,924,762,462,407,181,840,414,149,112,382,181,712,
706,401,288,022,365,823,593,340,136,084,763,496,456,006,211,270,688,630,027,
793,489,542,295,737,667,292,377,596,698,809,123,545,792,508,318,335,951,236,
925,658,592,989,246,416,902,725,656,998,606,811,984,391,618,970,675,944,562,
291,104,492,298,104,381,450,079,929,715,949,650,527,786,828,080,788,027,881,
508,239,218,383,675,063,241,553,620,936,880,742,835,525,190,362,036,782,735,
724,211,612,338,129,168,904,502,288,183,811,193,123,476,530,470,191,640,030,
366,575,062,741,629,709,238,095,026,710,751,807,415,958,627,221,810,313,331,
638,889,859,956,122,781,237,307,717,246,399,191,993,748,041,414,581,422,068,
646,973,606,166,579,054,180,483,464,801,937,809,577,089,884,142,661,711,567,
646,093,667,357,705,542,591,333,137,934,478,084,536,407,168,375,754,982,895,
086,943,196,449,834,888,648,233,227,903,397,869,523,061,199,926,750,352,622,
210,945,111,120,251,316,740,484,513,271,788,296,244,958,589,264,130,756,301,
181,796,004,601,756,641,757,352,598,374,136,431,379,205,854,241,938,568,152,
279,943,635,473,316,390,229,270,980,030,009,931,379,524,112,407,809,976,271,
932,352,487,948,881,017,067,725,017,911,941,382,080,204,386,473,842,044,596,
849,734,422,262,167,880,942,486,538,751,914,636,998,526,314,203,671,167,672,
643,948,160,198,122,864,112,405,383,016,650,309,605,138,310,243,755,406,999,
423,679,123,384,321,442,581,797,107,934,731,511,262,722,724,397,756,073,198,
001,413,851,910,022,546,810,513,584,723,095,625,036,168,026,617,638,673,079,
185,576,380,169,200,374,161,728,322,569,452,149,167,005,497,541,567,055,093,
508,868,248,499,228,561,826,532,877,369,114,010,197,481,889,028,030,556,358,
322,162,677,701,262,965,319,824,840,385,959,725,902,638,496,515,164,365,739,
581,619,348,518,667,496,754,569,121,475,238,294,554,095,261,713,270,184,805,
270,159,753,280,137,534,262,182,540,512,569,646,835,896,156,581,834,754,042,
738,423,868,912,052,314,587,879,910,665,678,042,066,558,491,405,512,580,214,
333,357,075,208,494,215,335,591,118,856,174,408,383,110,475,808,793,605,232,
134,880,372,991,764,902,754,617,575,608,491,820,254,282,320,983,536,994,631,
256,334,198,098,077,121,695,404,269,921,841,537,169,944,843,148,899,712,857,
711,720,257,359,878,228,173,848,716,029,581,537,791,140,228,643,550,902,221,
994,172,616,040,506,570,531,944,022,031,065,383,430,879,493,033,288,077,808,
376,832,273,996,959,052,568,968,282,863,338,163,473,980,194,023,471,434,841,
920,788,056,366,552,632,025,246,970,517,319,461,620,973,984,437,659,002,661,
973,042,106,792,059,259,922,118,685,189,220,343,202,337,348,747,278,085,622,
674,456,381,076,863,049,666,415,106,678,876,324,982,814,077,313,401,800,479,
914,890,884,005,652,940,171,994,994,385,340,476,933,224,516,205,024,193,906,
949,823,397,986,965,526,921,758,281,802,789,011,007,293,678,475,039,018,688,
702,712,853,947,641,029,698,481,331,792,481,208,334,108,615,588,844,167,932,
410,364,026,187,456,870,975,115,220,969,033,028,621,726,894,095,010,500,504,
246,090,992,211,112,165,483,560,499,663,947,658,781,116,109,774,844,053,362,
502,640,685,187,675,301,067,820,467,758,176,262,477,024,863,032,423,157,755,
029,804,943,944,693,801,730,731,031,444,689,190,590,974,069,127,127,349,405,
987,789,925,776,626,605,026,614,877,556,385,410,144,653,582,079,818,084,795,
451,911,408,213,888,365,019,413,684,920,175,049,558,108,914,703,000,546,867,
489,558,026,950,665,818,013,877,432,872,320,159,628,324,857,173,172,028,654,
381,614,852,415,155,840,651,111,115,891,548,949,293,418,702,524,681,138,688,
232,586,870,271,135,274,338,699,311,731,137,321,827,227,587,377,408,056,148,
791,048,602,487,543,096,625,665,599,302,350,347,215,226,150,362,747,857,565,
069,362,767,488,532,845,582,611,103,440,039,112,244,341,967,178,994,303,543,
746,304,903,449,800,760,122,114,370,410,792,645,764,930,853,297,383,855,698,
863,184,664,151,772,972,861,172,959,596,655,132,683,964,643,193,324,980,610,
604,081,483,217,675,639,443,797,664,640,838,211,362,407,769,878,344,121,781,
275,946,475,442,493,393,962,836,697,249,469,549,535,701,033,125,455,137,716,
511,451,982,594,370,662,248,485,766,238,947,516,072,453,845,599,221,267,327,
194,649,291,151,497,686,491,512,185,935,767,593,297,713,506,506,289,392,661,
574,130,628,922,447,882,491,719,882,260,175,931,803,686,726,645,461,073,854,
033,301,255,055,626,083,847,633,625,512,687,957,798,934,532,073,413,320,316,
572,979,267,668,507,072,448,729,229,499,226,284,267,961,315,325,127,052,127,
516,875,202,115,718,803,207,379,282,691,471,636,832,982,479,346,668,307,043,
721,609,025,001,555,497,765,264,018,058,225,775,777,967,677,686,265,102,589,
008,437,916,192,442,330,729,492,479,469,050,125,934,237,279,271,527,780,060,
477,140,178,209,029,254,516,777,512,351,781,709,972,320,348,859,991,647,096,
965,852,634,918,212,064,336,469,523,079,286,552,036,318,135,092,563,462,101,
280,345,295,319,302,916,810,022,290,728,678,856,880,879,254,006,548,118,489,
083,992,502,962,221,985,079,852,476,659,063,625,415,263,805,093,721,989,969,
731,307,131,636,368,903,659,538,982,242,042,680,328,796,604,255,013,071,723,
937,706,878,527,521,473,868,347,393,193,547,426,532,685,916,280,694,403,879,
616,404,389,485,869,740,938,373,590,645,457,874,341,182,042,181,816,251,431,
583,590,324,695,307,019,915,520,747,781,769,715,761,249,421,370,888,338,648,
528,468,313,572,923,303,094,460,775,924,014,406,948,487,372,220,872,985,472,
574,823,267,904,867,165,941,379,630,503,268,850,031,834,675,773,481,527,407,
057,114,167,743,564,952,628,176,301,985,468,613,193,920,428,218,952,651,865,
042,236,404,508,720,044,626,916,566,202,259,960,139,498,062,111,248,415,060,
730,113,065,657,518,706,639,291,011,231,351,152,868,355,902,378,898,651,961,
942,879,570,045,740,610,682,608,548,643,772,640,654,729,421,258,173,073,303,
780,451,714,785,528,766,124,654,873,736,622,004,875,843,796,751,014,292,951,
157,533,868,609,130,953,923,440,180,172,765,163,344,484,405,518,169,111,043,
294,128,729,545,375,132,132,381,922,789,048,311,911,308,478,142,852,439,984,
977,017,164,478,503,411,121,884,472,946,404,223,665,155,356,725,801,490,757,
215,141,259,040,639,228,499,466,841,255,223,303,365,991,365,587,485,894,014,
030,296,357,576,957,996,624,081,148,302,047,072,839,226,679,405,955,616,524,
737,428,379,997,623,617,345,940,728,402,898,985,086,160,663,056,551,618,385,
507,031,624,891,905,759,563,740,048,426,312,442,858,757,124,107,397,761,502,
045,714,808,744,789,031,036,323,955,032,689,725,552,015,983,548,696,228,153,
579,013,647,006,352,476,379,251,152,022,494,681,932,304,571,807,982,061,861,
590,854,179,338,149,451,034,515,341,301,629,260,815,829,553,923,800,431,502,
724,266,975,749,526,103,196,547,247,034,034,241,763,646,478,131,184,121,575,
538,094,121,793,524,514,580,923,454,355,820,631,341,502,821,283,386,592,239,
541,950,879,251,153,623,655,641,230,389,365,638,701,118,597,355,841,471,365,
172,056,791,766,014,407,096,790,545,549,863,404,184,106,725,445,921,203,681,
178,279,759,537,024,657,593,044,206,433,619,306,368,452,896,038,344,295,800,
091,907,801,557,761,403,317,552,903,981,868,165,508,000,450,880,073,041,782,
851,096,663,354,166,511,695,315,091,204,698,646,630,204,468,110,091,542,273,
901,200,044,866,660,079,955,697,197,030,113,407,741,529,507,172,247,887,124,
201,035,194,350,934,108,459,309,508,500,376,320,079,303,686,386,537,641,024,
016,440,559,028,330,074,381,139,772,700,923,861,378,804,336,952,095,890,372,
949,835,604,197,634,061,813,404,159,403,407,023,324,570,064,244,505,935,457,
519,304,946,778,369,250,365,710,924,521,780,458,285,130,606,772,162,264,094,
753,112,683,890,569,826,667,359,471,644,495,648,040,426,815,812,397,036,985,
870,234,103,964,430,088,932,801,192,806,864,566,398,884,759,729,388,271,589,
939,472,212,353,584,762,089,595,804,170,018,022,810,380,388,616,695,395,074,
019,610,696,804,026,109,926,224,002,545,922,377,393,608,923,018,209,961,583,
180,812,699,884,871,101,494,251,223,219,644,044,664,601,030,286,431,425,516,
636,073,982,384,503,324,319,576,365,607,770,648,841,832,543,683,655,718,851,
013,283,789,634,216,468,709,321,893,881,265,060,037,280,849,295,905,415,779,
528,135,109,069,073,871,442,614,385,011,148,222,664,816,159,001,846,154,508,
015,398,134,155,071,863,977,729,853,727,201,009,857,704,404,549,262,288,793,
015,293,163,245,603,311,052,290,298,954,278,450,157,095,372,562,584,843,721,
203,177,733,310,635,452,136,360,054,846,921,963,053,002,657,889,551,669,483,
929,969,940,131,929,928,418,268,917,250,715,638,031,688,858,104,071,943,698,
262,741,198,211,913,688,299,397,323,507,019,112,009,327,205,932,115,940,548,
375,323,788,152,590,001,467,323,796,938,991,050,128,945,150,300,702,748,972,
524,817,808,750,625,680,413,320,530,750,208,349,064,732,311,148,981,372,181,
185,783,861,019,132,965,490,016,127,163,235,047,143,171,705,929,290,273,142,
303,281,736,158,190,893,137,484,059,058,315,341,403,062,110,003,875,559,401,
615,082,713,199,698,152,953,320,541,001,784,603,072,002,596,711,980,312,545,
359,969,904,177,909,497,642,026,003,285,601,852,588,108,773,314,444,285,111,
066,602,240,469,835,778,491,348,326,025,122,242,440,794,769,163,819,798,929,
024,684,934,984,675,304,100,540,866,300,396,990,741,609,357,589,377,903,419,
424,809,561,306,590,337,519,353,517,697,303,999,977,153,578,291,902,741,034,
726,286,116,315,627,124,569,830,187,957,485,549,208,939,303,539,929,935,201,
593,732,924,856,758,440,047,819,770,802,055,978,327,161,029,077,388,393,788,
781,522,655,943,134,104,341,214,554,559,470,262,965,914,250,212,979,073,951,
100,254,765,811,604,525,138,600,716,565,138,738,269,057,824,669,638,089,789,
954,154,680,576,374,861,995,365,177,173,245,801,880,754,416,591,900,168,197,
815,727,248,747,996,515,481,818,901,706,270,928,329,656,348,260,502,748,459,
644,684,665,905,129,009,090,174,197,208,766,967,141,698,832,578,331,562,685,
059,608,143,171,940,218,534,349,791,732,636,769,196,277,062,298,609,049,082,
165,949,081,546,858,377,420,856,147,566,214,394,761,087,149,768,627,233,587,
152,209,385,674,088,969,165,777,327,445,561,895,246,618,194,727,845,714,633,
361,566,057,308,508,167,298,660,059,688,712,591,417,429,628,898,124,583,272,
006,719,752,493,906,555,895,043,957,014,314,934,847,642,000,119,908,332,490,
682,686,305,667,210,038,915,849,262,647,140,838,178,116,722,110,741,037,139,
565,527,385,062,075,478,426,693,766,571,224,350,541,616,550,996,424,311,457,
326,302,475,333,405,591,981,221,982,531,804,214,864,233,383,214,531,487,848,
091,651,105,293,722,912,134,514,923,807,680,385,132,583,482,669,884,639,830,
992,568,957,040,223,360,886,638,496,117,992,299,240,408,024,951,975,884,346,
921,150,316,147,099,183,748,129,383,619,826,300,192,887,230,569,308,741,048,
230,224,377,117,159,725,679,083,680,016,608,102,641,942,834,309,028,650,446,
061,284,414,262,115,986,655,698,930,409,431,727,454,652,675,375,568,673,016,
019,308,422,843,989,555,959,437,746,097,512,139,200,915,434,172,483,628,296,
685,856,296,201,297,084,184,635,122,436,682,920,115,223,941,043,312,008,634,
489,486,388,053,058,767,962,100,988,153,602,142,230,801,196,177,983,083,843,
872,456,208,910,798,676,984,617,071,228,886,881,738,032,924,675,084,275,263,
602,465,745,716,511,442,999,334,226,393,725,132,343,841,430,285,840,848,464,
448,420,377,517,286,834,940,723,683,863,893,257,455,627,260,036,649,214,520,
968,412,410,540,263,274,555,531,480,002,841,470,348,618,620,136,407,920,670,
699,057,872,972,377,301,964,329,279,084,694,647,214,344,118,387,089,713,208,
452,624,503,294,542,929,338,797,260,585,426,101,257,531,357,899,250,225,731,
284,128,601,331,976,363,203,561,028,041,982,508,706,232,942,223,316,418,284,
648,520,143,284,613,346,343,043,230,786,289,194,812,795,058,363,626,266,909,
142,194,697,845,939,643,426,986,637,377,467,266,469,914,718,021,684,675,486,
472,148,606,873,686,068,628,827,370,599,003,936,352,455,825,503,059,189,740,
681,033,543,693,561,632,189,300,471,147,267,202,742,977,868,788,369,409,626,
058,450,587,621,297,749,104,145,074,677,692,133,058,776,122,772,846,045,111,
505,791,889,620,954,039,831,119,917,129,519,226,313,605,941,962,566,285,794,
215,303,966,986,645,098,696,028,868,259,450,004,765,412,536,693,342,812,208,
925,610,149,860,817,977,934,929,462,815,258,074,008,316,857,988,971,270,235,
192,641,223,105,940,940,652,965,353,763,690,234,773,368,867,156,915,715,650,
299,429,347,113,933,257,030,435,382,487,007,310,058,164,426,708,943,245,052,
003,331,423,872,817,919,612,856,119,716,518,417,915,478,922,505,531,737,973,
586,563,032,928,639,274,719,034,249,892,043,278,193,939,819,393,504,577,570,
320,819,282,574,224,604,495,019,341,663,955,487,504,794,141,071,687,414,219,
796,579,595,055,251,515,087,074,577,939,227,554,377,223,199,517,565,681,740,
392,646,852,680,801,731,178,479,021,754,011,141,358,800,842,214,758,210,747,
336,021,996,011,625,943,471,804,135,564,518,246,993,765,554,711,187,042,899,
499,117,906,826,819,992,683,180,834,515,630,968,022,739,758,739,191,610,256,
503,406,489,158,775,654,615,562,031,610,595,110,717,409,856,477,944,879,039,
658,734,036,635,402,257,762,546,932,383,464,823,189,076,395,500,164,587,195,
879,676,399,833,125,241,223,912,786,377,329,406,667,300,477,402,452,328,754,
173,800,821,594,253,309,366,973,453,853,587,098,237,006,179,729,738,973,543,
638,917,608,502,901,591,183,887,303,968,353,970,414,354,582,156,352,110,953,
754,838,901,415,800,970,312,556,881,649,782,453,001,908,843,818,994,367,797,
031,331,873,883,203,309,876,016,378,242,434,398,247,670,339,011,724,154,296,
716,306,046,831,040,627,232,891,922,240,549,438,664,047,175,610,683,110,256,
863,258,025,230,240,345,882,649,486,585,589,452,627,346,838,980,917,922,110,
851,320,908,879,111,382,497,411,163,210,301,236,864,831,940,563,065,248,569,
224,265,484,065,133,210,712,934,699,959,186,405,706,583,960,098,805,287,248,
098,585,566,283,684,127,470,153,890,058,897,184,171,520,329,145,334,201,490,
087,683,099,044,014,041,459,774,041,082,707,804,495,929,853,904,990,347,253,
114,153,220,359,551,233,793,283,357,282,382,777,705,472,458,785,621,372,267,
590,657,674,494,949,398,900,511,266,711,512,282,974,187,955,108,607,299,824,
249,233,098,392,519,292,984,240,891,552,014,751,132,136,161,818,775,642,980,
870,488,951,637,135,663,615,389,861,061,808,798,342,409,345,582,258,305,062,
056,698,303,438,123,084,048,327,677,303,500,783,045,072,879,226,706,014,244,
572,768,400,097,163,373,214,228,613,221,600,615,863,229,550,839,493,558,320,
714,542,546,866,471,524,661,661,913,747,709,684,661,369,903,690,506,833,103,
063,541,448,021,284,468,938,634,553,752,615,111,217,057,158,101,889,152,172,
159,262,224,632,468,699,081,964,953,136,443,203,869,750,732,442,087,321,641,
674,056,313,958,370,547,503,750,251,857,030,085,306,445,723,829,986,713,286,
608,263,445,730,678,860,563,380,304,233,801,304,839,334,694,428,940,873,565,
213,370,508,908,196,569,045,928,473,443,593,050,974,251,429,108,481,041,015,
827,583,999,969,098,607,876,050,230,031,034,677,037,352,574,460,926,913,950,
343,862,351,876,979,022,117,476,489,290,178,895,906,477,358,343,805,754,578,
896,826,990,807,845,232,561,435,787,123,663,124,933,414,585,956,705,580,868,
358,643,120,277,164,495,621,356,128,510,126,348,564,790,324,642,969,067,707,
493,770,966,799,002,250,003,701,905,244,460,517,830,438,755,380,982,619,228,
835,927,521,270,916,906,617,896,735,557,501,087,979,584,259,858,021,427,683,
224,910,919,938,132,374,131,301,222,601,579,307,488,271,210,653,314,480,187,
748,143,639,730,950,465,940,134,550,453,330,210,188,445,752,848,912,918,229,
015,606,483,487,718,261,980,027,821,869,649,022,889,967,337,973,227,111,379,
735,052,330,047,073,009,403,130,949,175,965,282,940,669,017,725,982,541,888,
861,323,493,867,418,329,547,462,034,986,478,107,155,931,715,657,796,504,403,
242,083,060,490,432,298,523,271,264,555,742,376,758,922,581,196,797,763,829,
651,702,271,592,391,376,778,446,727,038,094,285,088,380,510,445,123,611,331,
440,031,573,734,267,981,574,215,102,626,281,638,494,229,712,628,187,187,458,
598,503,066,667,691,586,232,832,952,865,892,951,071,689,380,727,899,139,459,
449,518,139,635,204,111,571,170,817,243,729,482,096,152,925,090,200,489,490,
062,871,765,290,023,019,819,937,801,319,253,528,614,278,317,879,768,372,167,
851,125,781,096,920,391,717,858,858,193,494,610,384,337,013,733,860,015,015,
763,534,666,701,609,360,953,926,985,457,659,870,078,078,387,057,766,912,752,
250,421,869,025,983,936,721,447,867,512,008,828,835,543,295,629,226,862,336,
167,938,475,414,548,399,835,273,908,308,369,861,297,958,432,877,100,959,287,
956,166,909,229,178,815,327,907,203,026,661,772,492,721,733,833,662,137,741,
251,793,532,204,216,934,927,634,059,773,237,208,094,433,378,123,793,560,915,
202,317,095,569,022,714,611,595,672,193,010,632,950,143,270,653,456,859,913,
717,503,402,161,725,958,515,281,173,350,375,898,791,571,470,321,863,941,773,
505,959,499,762,079,407,555,697,264,940,660,595,159,130,316,150,088,065,622,
830,966,326,462,382,449,571,492,487,045,298,388,583,993,128,408,885,152,414,
976,130,472,735,013,232,083,456,142,037,153,657,881,213,656,215,015,777,630,
201,872,448,275,594,116,261,088,822,993,089,284,221,153,397,291,701,015,682,
628,361,818,009,155,784,324,542,071,016,206,005,172,977,442,648,105,190,102,
292,496,859,671,768,020,984,932,850,177,469,615,690,674,552,286,710,591,147,
373,725,660,836,125,211,304,132,704,835,210,437,224,216,105,061,966,347,289,
312,219,881,842,190,346,357,657,784,898,061,953,281,732,586,111,189,204,974,
146,058,857,546,911,109,175,258,189,831,849,884,121,632,321,028,803,149,056,
663,583,064,409,237,931,169,637,819,527,379,862,418,240,168,562,593,281,699,
101,257,885,697,892,756,188,955,319,793,315,224,816,271,502,131,333,149,315,
019,945,044,800,877,144,844,816,776,362,945,588,578,748,063,953,765,124,737,
576,733,408,882,848,785,844,178,317,087,725,788,510,482,645,890,449,315,839,
647,945,473,818,523,082,291,136,612,685,722,885,754,483,671,469,823,841,857,
846,800,943,385,220,801,111,282,781,560,761,041,971,997,403,554,426,302,372,
747,415,821,670,814,965,903,571,527,739,037,387,566,162,229,981,754,661,999,
762,292,589,037,640,110,696,826,551,324,066,138,244,268,178,963,201,043,154,
265,483,358,675,890,215,804,578,375,840,156,322,366,053,660,803,009,764,589,
744,851,609,094,782,585,598,612,347,782,563,231,648,748,158,363,729,214,040,
886,226,087,834,307,105,085,727,996,982,171,508,478,482,374,917,713,505,938,
513,071,929,402,445,588,896,239,303,773,419,207,325,557,847,120,909,569,526,
769,909,098,688,527,939,277,581,039,543,591,189,352,340,945,619,897,087,116,
175,467,757,202,732,700,768,773,700,126,809,853,989,914,286,911,497,994,132,
676,904,038,646,448,044,998,077,473,080,534,589,664,708,850,186,006,424,422,
976,993,521,522,488,265,122,616,511,797,556,410,465,718,671,172,088,798,808,
743,111,742,239,959,058,381,270,832,301,576,310,016,362,461,503,274,532,151,
555,896,478,915,060,744,744,724,006,373,462,535,845,370,901,808,874,427,036,
015,793,260,850,079,357,563,435,978,805,674,006,142,297,338,755,791,768,315,
484,433,495,215,609,533,771,444,084,376,581,011,014,413,098,439,473,179,483,
007,720,469,057,538,760,633,797,111,807,395,173,835,747,717,590,815,344,880,
216,229,568,150,885,810,643,542,144,056,629,738,017,756,663,819,127,713,700,
280,465,728,481,621,270,403,201,754,303,210,607,414,136,758,013,600,622,516,
468,623,354,171,141,361,565,481,596,620,206,379,771,013,754,085,762,206,977,
085,669,569,980,081,355,816,307,601,247,491,316,457,439,824,411,389,469,620,
531,188,774,516,690,173,638,988,129,330,314,489,375,990,039,976,454,198,356,
649,724,923,482,646,863,575,322,866,692,450,693,906,918,687,165,094,824,663,
017,660,907,361,693,276,823,458,180,455,391,904,332,954,880,873,040,986,495,
312,658,105,259,026,282,090,546,868,661,120,391,852,734,521,475,450,694,929,
209,072,512,585,240,257,952,650,843,937,602,650,936,572,411,024,521,682,744,
856,827,024,680,695,086,960,123,096,943,947,138,272,599,992,173,705,629,633,
957,951,046,336,637,857,964,728,634,505,035,467,065,520,560,755,438,866,083,
414,949,902,314,606,219,965,137,964,045,271,835,041,823,782,964,016,735,335,
978,237,947,229,764,613,086,231,445,113,693,243,881,328,391,848,300,379,393,
886,760,548,590,225,481,740,925,973,638,640,466,642,889,045,055,859,331,587,
696,387,878,000,471,815,451,483,295,345,720,112,550,361,647,010,932,765,138,
946,336,141,513,657,348,290,536,863,307,304,629,933,350,807,874,891,459,217,
653,251,672,629,095,794,343,580,012,400,174,110,225,286,589,658,605,859,125,
820,386,367,439,129,304,290,098,052,886,450,997,255,965,023,841,097,591,837,
416,212,474,759,436,311,117,014,386,207,374,175,853,879,386,755,652,893,552,
692,832,219,705,279,956,588,449,635,827,131,130,742,244,321,866,927,789,109,
631,204,392,615,011,846,827,072,155,294,407,836,812,760,109,962,355,511,291,
188,501,863,473,735,193,672,193,813,611,794,554,822,601,084,166,521,286,150,
244,283,730,730,408,103,049,755,431,072,653,760,709,133,296,786,526,801,199,
539,188,737,400,158,868,695,462,255,013,409,909,938,787,917,355,827,769,801,
678,557,907,345,562,547,204,072,508,811,292,472,497,155,744,073,820,535,787,
643,820,565,339,509,810,559,348,650,491,188,094,538,626,231,770,264,637,089,
300,953,877,922,428,423,647,259,673,258,013,505,628,796,936,241,172,526,461,
990,236,436,007,066,860,867,210,902,576,118,217,675,898,281,958,841,715,285,
093,710,593,711,340,955,315,261,259,001,334,630,818,363,244,649,775,807,983,
751,151,145,955,414,917,616,588,466,811,225,821,861,484,339,622,194,498,699,
049,178,559,610,629,895,492,441,471,185,707,388,353,683,489,272,547,589,732,
043,566,325,061,307,499,659,842,222,808,339,623,025,511,636,638,410,058,685,
700,929,467,240,431,274,301,601,449,545,285,936,991,430,182,107,849,246,198,
403,156,427,032,226,170,624,669,574,500,534,029,938,441,068,412,256,463,644,
245,102,191,414,828,540,273,905,069,951,782,960,767,502,250,071,692,598,466,
102,206,414,675,423,635,415,664,628,894,786,896,062,006,052,763,629,354,033,
749,357,614,496,594,607,963,925,476,811,632,651,756,529,783,859,723,135,977,
357,283,857,991,146,657,222,155,137,586,044,032,192,999,636,750,221,996,642,
596,724,636,738,514,136,037,499,599,992,139,728,226,585,444,105,191,454,012,
681,646,643,577,317,156,919,763,245,150,325,103,521,201,988,582,915,421,223,
514,144,932,485,593,609,882,306,122,480,829,460,632,289,234,426,894,185,206,
200,341,577,015,254,871,498,290,631,312,045,255,272,606,423,726,332,896,694,
528,839,844,918,010,559,527,519,487,200,004,710,801,100,014,787,293,926,752,
897,891,593,420,115,859,262,306,712,890,634,561,369,404,830,594,898,002,384,
164,034,521,449,956,607,201,554,652,738,943,696,291,697,664,002,200,002,787,
733,167,238,346,212,562,950,896,591,039,707,173,637,097,871,748,029,232,769,
618,441,469,494,257,414,887,538,675,233,547,147,511,469,957,573,913,792,855,
926,796,273,750,405,371,780,175,013,579,164,486,327,774,627,654,424,489,994,
914,069,431,702,175,978,713,598,793,177,913,848,839,768,668,075,028,148,947,
532,298,887,855,031,825,967,049,265,032,618,495,121,917,051,982,262,033,229,
700,623,848,675,138,768,653,803,161,948,743,045,217,233,439,826,340,298,209,
167,082,783,506,561,014,883,982,354,705,543,398,893,509,856,596,373,524,376,
278,842,416,141,226,904,710,775,481,086,753,750,127,072,986,496,759,893,439,
293,763,156,287,482,664,207,282,611,554,901,051,109,037,673,749,138,171,063,
732,884,787,529,998,486,642,414,110,012,243,986,897,652,918,784,681,839,303,
602,545,306,180,114,708,840,594,020,525,386,339,197,671,239,009,796,255,287,
744,609,340,981,438,449,163,959,971,472,373,047,820,730,909,150,518,028,429,
501,420,649,372,008,915,383,749,639,002,602,863,224,839,395,803,109,769,431,
838,314,072,901,966,362,767,745,866,795,279,298,029,982,582,340,399,657,437,
927,756,355,195,723,039,790,656,320,835,742,752,026,737,636,194,363,666,704,
216,875,199,773,015,177,728,962,968,666,100,533,459,470,208,847,509,637,536,
254,345,599,610,221,735,514,374,911,406,862,921,366,763,798,513,972,784,232,
366,361,564,071,073,969,861,319,441,942,455,861,650,306,163,761,697,661,751,
529,642,342,959,912,707,078,227,580,711,057,686,501,357,045,320,378,645,260,
071,253,427,817,914,663,244,928,421,201,602,835,483,656,904,475,963,643,293,
448,105,644,132,315,245,508,666,552,026,663,749,000,355,860,508,126,395,832,
975,944,917,820,503,846,682,953,269,332,597,488,544,234,811,460,623,897,276,
761,614,645,358,562,947,803,529,138,233,794,834,548,710,612,364,174,430,715,
391,779,203,466,308,695,798,892,291,052,851,553,427,356,648,561,276,934,971,
675,471,191,811,053,195,490,611,290,479,853,321,456,943,551,214,698,657,042,
199,153,011,895,798,907,527,296,469,614,667,999,118,463,199,561,050,994,360,
281,097,975,149,029,924,838,545,265,551,818,150,846,979,490,421,348,116,768,
939,119,167,017,349,067,854,822,898,710,136,320,242,178,934,689,152,588,448,
119,255,237,778,010,704,039,983,136,329,224,318,739,640,062,271,289,463,376,
559,714,809,919,809,844,186,588,205,764,210,384,559,824,626,252,543,900,912,
248,531,907,465,076,709,110,235,049,428,158,098,297,530,765,584,674,007,234,
795,013,768,595,957,971,744,532,262,952,371,876,716,507,769,678,649,162,556,
984,640,739,314,720,492,172,035,915,471,608,665,243,176,614,566,790,466,137,
514,473,471,403,722,574,666,768,900,178,907,344,393,150,213,334,080,060,537,
062,304,260,852,874,787,177,276,152,504,765,122,820,951,675,982,096,544,511,
015,829,014,735,574,727,607,820,101,250,064,099,011,922,338,054,339,339,259,
544,990,762,073,182,180,917,563,480,652,837,071,728,656,871,285,500,768,758,
197,134,151,948,293,691,690,191,503,518,037,602,735,601,911,077,440,801,177,
601,195,430,942,043,154,042,788,676,064,928,179,950,802,305,243,248,177,056,
424,095,813,180,198,398,205,202,898,940,102,583,988,653,706,665,039,666,056,
421,538,927,514,911,689,394,759,533,393,420,383,240,007,187,790,364,681,547,
886,144,434,917,515,734,709,689,701,125,415,236,685,865,281,678,463,204,627,
290,756,764,126,826,610,383,708,120,600,956,773,528,479,272,761,577,883,807,
253,030,452,217,575,460,414,642,913,357,366,339,217,990,559,191,397,923,227,
329,361,388,082,860,996,746,476,330,994,955,138,882,655,048,886,343,223,189,
378,887,816,306,731,537,271,406,292,107,801,919,421,233,952,808,123,424,412,
723,718,312,902,515,018,028,651,526,875,465,394,661,890,897,003,914,609,791,
283,269,796,677,979,985,293,065,347,400,942,368,291,681,285,720,872,999,722,
155,425,604,452,008,646,135,311,487,041,568,290,007,362,950,430,013,907,516,
818,763,145,113,961,989,157,514,850,707,955,759,365,403,472,787,749,825,679,
688,366,075,483,497,759,342,721,705,119,420,856,562,928,101,629,564,966,141,
644,499,539,003,693,812,575,048,913,120,398,018,109,532,304,553,438,534,263,
803,599,542,419,054,416,413,692,162,291,223,871,918,822,684,045,718,688,714,
398,192,820,501,719,495,232,223,669,129,965,452,846,750,493,279,724,284,530,
452,599,819,594,614,761,330,747,942,576,422,206,572,453,872,116,790,014,506,
701,806,699,779,810,643,604,433,855,275,626,151,400,585,472,693,915,215,912,
566,884,184,959,447,800,422,756,425,355,389,552,371,532,741,005,122,778,126,
863,371,290,902,970,001,666,112,869,660,194,354,038,981,079,491,147,551,573,
961,834,005,616,740,615,349,311,593,720,641,759,002,170,977,727,920,933,356,
051,850,127,036,230,546,112,665,701,953,846,574,204,914,839,388,748,684,353,
661,415,865,293,861,365,329,462,807,023,652,303,642,075,894,775,048,165,135,
962,838,888,515,382,578,773,884,808,762,077,921,156,559,961,129,752,704,422,
804,954,138,979,039,075,194,300,922,210,519,149,466,317,146,519,887,527,874,
181,823,431,471,599,303,744,605,343,533,447,677,289,105,871,475,681,586,789,
630,356,561,619,536,012,373,915,318,231,743,532,374,813,475,683,870,131,705,
974,986,217,013,431,646,249,277,948,497,578,820,016,539,398,381,025,938,323,
086,220,945,738,138,400,631,656,803,447,513,742,363,961,388,233,409,780,026,
054,276,859,786,906,364,630,931,043,282,329,099,631,409,697,682,173,816,526,
711,444,103,904,552,191,823,801,581,896,293,507,375,475,738,031,431,056,517,
775,714,246,212,506,345,614,361,083,453,043,448,694,147,201,936,229,372,552,
834,575,654,750,533,673,579,988,128,813,911,361,431,402,486,609,078,432,067,
028,930,107,528,898,832,243,568,532,589,422,597,242,406,205,914,948,517,199,
246,677,717,421,456,232,309,557,743,806,446,491,370,527,108,926,662,218,474,
216,788,665,386,199,660,513,156,579,529,459,742,058,071,936,252,685,622,105,
775,106,706,966,328,714,897,504,847,525,912,416,277,715,559,863,679,008,713,
249,400,071,057,540,357,710,025,528,686,385,343,391,740,251,629,304,743,937,
914,618,377,716,280,716,992,912,595,252,156,074,341,937,107,860,078,097,397,
873,600,617,539,547,814,334,287,829,144,922,470,598,983,524,562,110,311,736,
871,549,164,542,084,656,516,219,878,035,359,919,576,236,694,673,915,797,523,
356,973,239,499,938,672,175,491,980,773,044,778,359,216,506,663,288,060,549,
371,662,319,770,205,422,237,861,107,963,744,371,307,865,059,820,658,198,407,
977,321,171,872,158,727,461,490,218,958,417,698,190,198,793,215,441,874,620,
312,180,122,498,510,240,648,104,655,756,873,666,529,452,403,439,341,914,007,
142,682,189,238,960,055,444,378,425,958,239,104,210,967,450,295,466,349,466,
999,939,934,866,112,416,006,294,992,367,701,081,287,510,296,607,433,196,149,
377,450,695,255,006,393,276,436,374,053,444,799,305,157,610,719,107,237,648,
617,947,238,288,116,168,312,906,826,015,648,776,383,552,278,910,523,785,606,
333,733,628,120,435,710,969,792,770,873,677,492,425,587,687,966,141,188,739,
347,360,326,747,679,699,337,018,141,708,403,386,878,694,425,095,514,435,484,
144,506,251,682,186,472,047,993,930,127,159,605,486,938,391,597,802,134,050,
591,339,325,975,076,858,510,638,213,983,836,213,352,223,998,196,204,023,534,
346,732,889,839,278,024,962,490,372,713,307,751,643,129,613,298,406,866,677,
491,733,506,334,282,163,529,550,100,959,384,695,876,397,028,719,263,376,485,
720,784,907,609,976,063,132,717,397,476,876,789,798,975,863,043,962,740,373,
246,176,513,278,520,160,176,073,836,652,599,367,336,287,586,184,507,892,012,
878,049,182,215,111,219,717,352,831,382,044,985,104,810,590,119,037,050,433,
596,934,382,106,143,786,543,214,410,983,241,999,709,988,816,757,390,231,909,
959,974,326,515,642,399,508,494,097,297,423,215,955,736,576,756,462,001,804,
588,458,439,151,905,651,919,831,043,182,509,114,478,533,941,576,440,026,695,
091,119,752,251,272,720,151,119,445,107,023,087,587,211,429,773,809,590,519,
891,493,354,147,468,395,976,277,050,841,418,643,661,752,805,224,724,671,125,
576,197,065,945,002,183,539,665,451,596,530,947,087,160,451,022,696,734,288,
439,113,430,341,796,917,931,256,304,829,216,634,320,779,893,560,777,015,392,
007,218,509,116,391,754,166,101,078,136,895,813,963,067,074,873,056,642,327,
847,590,721,462,824,299,723,432,993,395,749,094,982,191,908,576,659,053,077,
920,532,935,853,800,851,142,397,777,297,770,255,229,839,451,039,702,242,662,
458,215,312,318,776,272,180,178,502,691,725,750,458,144,321,909,833,545,735,
175,443,161,450,400,024,653,193,689,615,744,787,253,124,921,259,905,013,654,
462,737,803,792,968,236,955,153,549,854,280,649,208,594,991,892,775,877,758,
000,207,665,278,055,124,642,993,811,760,207,634,873,214,248,689,224,170,899,
682,804,829,551,411,597,354,223,870,912,466,833,135,727,774,504,976,136,637,
571,749,452,240,542,496,582,167,936,398,205,183,396,573,159,665,233,800,556,
380,332,428,026,727,426,356,682,180,148,085,748,736,574,472,422,766,533,386,
804,867,458,630,487,465,772,096,119,001,529,618,066,248,671,596,882,514,466,
914,287,453,058,166,752,197,956,542,134,231,583,070,517,984,993,296,057,605,
465,201,942,783,028,481,028,144,141,267,711,962,244,896,853,620,504,646,667,
547,367,751,914,846,094,334,378,561,188,458,229,645,884,615,756,247,748,098,
342,440,392,520,543,984,657,541,562,912,997,632,621,539,450,384,565,473,572,
251,356,633,697,106,378,836,979,368,102,247,443,573,571,056,900,410,380,152,
473,745,145,441,642,677,216,242,846,879,864,634,101,650,136,162,276,631,496,
094,642,962,174,705,359,722,931,914,246,559,239,978,677,326,411,923,501,835,
287,640,295,547,379,432,068,405,166,583,388,480,871,113,705,447,190,950,269,
261,430,430,338,050,144,582,703,998,405,463,897,765,866,824,664,297,534,709,
402,349,867,010,018,001,158,727,129,966,754,681,990,495,304,828,176,402,537,
107,045,704,830,262,194,191,549,993,810,625,085,886,460,702,743,249,086,532,
880,768,685,309,033,003,333,337,580,504,128,243,542,769,420,648,209,216,347,
181,705,834,225,792,768,684,088,294,564,642,475,287,243,185,004,512,489,236,
899,112,471,084,631,663,786,031,982,677,700,019,974,353,023,138,623,856,929,
883,928,458,115,005,342,991,754,096,568,275,716,133,053,914,119,005,282,363,
741,861,254,443,811,669,212,250,069,192,286,618,697,036,220,812,081,227,773,
973,511,219,351,111,066,351,910,916,464,302,293,601,493,591,218,284,059,079,
358,891,435,000,487,790,611,168,347,154,264,412,343,267,743,941,659,213,097,
006,135,622,290,453,138,922,764,826,868,788,968,293,309,655,894,880,263,182,
042,260,673,710,142,919,595,091,424,923,395,231,066,105,779,761,438,973,799,
724,294,149,837,412,523,880,903,392,037,938,662,705,901,843,962,613,681,801,
299,371,597,072,859,538,144,913,865,382,744,796,568,589,006,723,814,900,386,
409,597,397,952,145,207,638,851,437,869,347,515,638,496,076,730,911,706,960,
016,756,245,533,954,929,304,461,904,436,047,854,147,752,841,321,797,245,951,
307,332,125,917,511,029,501,071,707,141,032,516,141,687,271,687,224,337,902,
003,201,629,111,388,059,250,723,859,814,091,049,086,731,705,932,315,201,309,
995,622,339,109,407,169,266,060,373,943,848,954,004,707,780,558,279,224,119,
921,747,822,813,695,263,716,055,702,869,301,554,094,033,783,565,539,245,012,
728,421,718,600,164,547,275,793,170,118,392,793,800,282,628,353,143,324,570,
093,027,536,593,759,796,570,663,889,709,005,095,466,002,702,117,862,093,458,
380,781,255,104,903,595,373,126,142,640,209,644,926,659,117,228,864,071,521,
361,837,481,691,581,417,198,499,255,472,431,643,534,303,789,323,190,254,695,
139,288,785,054,510,043,275,689,258,625,136,682,370,402,512,684,471,389,753,
231,186,476,354,303,947,796,734,912,321,446,264,499,943,873,869,280,113,782,
216,708,941,638,409,615,180,586,168,823,774,650,324,803,134,010,971,862,568,
291,501,549,719,184,274,957,567,281,604,528,726,745,160,342,345,394,065,261,
386,078,339,038,010,330,652,873,939,816,422,904,011,445,890,416,065,490,087,
160,427,862,522,883,222,296,607,881,933,432,045,548,766,626,438,254,655,545,
831,970,729,981,084,930,881,372,834,787,073,690,728,422,525,228,529,465,468,
512,984,592,767,284,971,393,280,528,256,373,516,980,756,050,355,796,795,218,
683,369,318,735,868,679,005,036,316,956,520,296,890,967,894,692,716,461,980,
317,533,509,451,057,429,652,587,335,965,094,712,837,697,257,583,516,631,604,
358,559,159,622,716,678,455,559,529,050,585,199,820,323,875,180,801,498,734,
826,412,858,437,775,332,158,738,707,364,975,425,856,141,449,572,661,018,336,
599,506,612,313,616,490,436,360,760,676,030,476,310,824,739,437,750,377,079,
749,541,611,443,003,403,674,563,957,727,294,221,360,156,386,484,353,735,270,
809,755,441,041,271,394,650,020,623,556,893,986,454,067,844,381,790,903,372,
696,044,863,472,878,843,804,560,055,498,429,802,313,769,989,398,947,801,568,
948,249,019,488,050,968,963,321,263,201,854,412,385,946,929,231,122,956,405,
032,920,415,473,718,110,489,453,404,066,602,777,104,398,782,097,547,131,792,
986,472,473,948,034,708,726,723,108,881,079,806,143,778,231,942,880,756,733,
374,076,248,781,712,248,517,841,260,179,475,537,321,660,107,690,470,909,105,
093,383,181,972,922,631,095,500,727,224,958,850,573,175,620,511,489,789,136,
427,891,672,636,009,947,987,790,716,515,614,222,007,364,389,886,174,400,392,
165,048,374,881,002,735,739,607,362,510,811,428,688,766,525,768,889,969,629,
709,109,045,496,624,237,699,880,035,888,898,186,688,736,946,531,447,458,406,
421,434,804,979,034,894,058,507,442,745,737,282,862,190,338,551,094,359,407,
043,041,516,663,827,665,904,726,913,311,886,953,712,076,220,189,851,992,842,
047,318,887,831,414,186,587,563,930,671,555,456,684,103,554,673,010,312,349,
240,857,622,140,945,633,690,350,610,999,879,392,219,506,196,777,603,067,795,
004,175,219,610,770,404,759,325,975,628,427,169,706,475,703,879,525,977,390,
962,050,746,977,951,265,405,422,733,022,534,982,510,601,164,181,963,746,826,
560,488,642,755,685,120,990,947,501,140,153,533,068,774,025,822,058,642,672,
624,967,951,575,462,707,726,565,874,359,149,073,798,180,484,572,584,902,534,
949,034,805,848,833,694,402,486,418,153,496,239,614,922,641,123,015,566,063,
664,631,722,519,605,904,555,317,305,244,386,859,483,872,694,834,616,858,776,
364,860,320,224,644,691,634,936,197,648,078,900,188,218,467,844,865,726,839,
289,863,558,913,239,315,904,125,772,280,208,894,173,658,201,309,778,832,927,
911,848,787,007,175,804,376,360,846,178,779,440,155,597,588,774,319,564,621,
851,391,204,313,859,982,155,699,670,536,260,458,658,026,744,619,462,004,860,
243,971,132,638,353,040,735,371,274,542,947,835,197,009,274,283,040,441,732,
037,617,905,014,338,185,142,806,224,376,033,583,023,059,499,676,191,634,163,
192,252,229,679,567,264,737,835,421,929,372,894,186,300,035,139,353,900,288,
362,225,099,922,116,248,862,731,156,496,509,321,264,931,833,250,718,355,441,
848,134,222,538,746,798,784,877,353,233,776,310,840,563,463,802,841,048,611,
253,212,263,305,881,131,164,346,469,096,475,818,483,331,585,613,731,933,314,
418,235,486,199,712,992,897,798,792,639,975,428,712,043,479,765,630,855,110,
268,598,687,423,739,997,751,947,228,865,568,794,921,652,826,632,270,213,847,
425,414,355,948,038,796,343,758,215,311,230,764,869,248,490,656,596,618,369,
352,884,198,065,189,378,730,518,703,290,176,937,726,329,208,182,326,835,885,
208,473,196,439,129,978,058,092,213,538,180,820,303,131,649,823,177,436,080,
918,665,385,081,052,250,735,231,881,770,297,898,886,943,771,804,475,105,476,
944,837,157,926,805,692,402,646,144,076,621,930,865,459,694,817,963,498,810,
014,801,109,223,142,469,023,374,470,411,548,368,560,295,124,113,245,785,477,
618,240,273,916,439,006,810,677,475,644,976,939,542,681,566,543,388,674,345,
017,227,671,595,183,704,230,236,602,946,225,534,832,772,311,267,531,735,980,
419,261,420,488,885,101,305,112,731,390,158,861,278,104,247,121,040,612,798,
904,890,947,040,591,538,890,191,021,080,958,420,514,148,506,721,945,014,952,
874,768,676,096,623,543,686,279,995,167,605,624,481,559,991,557,965,355,977,
950,452,301,119,358,697,223,052,348,416,880,173,072,999,059,464,831,329,491,
493,965,511,331,543,724,482,676,407,427,538,458,227,523,357,652,717,549,510,
390,564,060,230,582,395,874,797,185,472,145,601,215,164,746,810,289,876,254,
731,331,008,673,100,566,579,398,341,080,011,760,429,778,094,022,863,608,539,
290,051,108,104,769,792,236,206,128,665,555,119,950,456,662,722,099,930,974,
456,634,325,204,056,673,090,843,464,973,898,245,050,890,121,110,503,774,045,
928,833,478,620,190,332,110,149,982,935,559,585,262,683,602,311,544,634,049,
298,336,030,355,905,120,910,577,500,245,952,961,189,647,006,747,643,275,769,
224,573,581,063,355,899,117,509,181,724,867,776,321,709,855,763,558,692,369,
725,176,507,428,812,035,012,826,122,926,468,757,094,572,539,856,080,000,363,
146,611,895,333,706,377,186,172,873,555,646,859,221,864,994,613,364,472,412,
630,058,602,911,603,340,073,629,324,421,342,679,932,501,682,843,469,205,072,
263,788,194,639,359,661,341,709,489,984,340,798,065,583,546,577,292,897,340,
504,501,067,822,558,712,301,477,925,182,162,229,020,999,011,130,763,464,204,
884,045,142,598,330,485,346,992,982,322,043,331,033,430,403,768,315,894,732,
367,383,867,175,722,084,219,832,570,063,143,924,906,551,170,524,582,898,028,
554,011,978,252,358,149,778,473,276,549,480,202,338,539,517,217,147,303,324,
205,709,547,357,284,122,890,124,106,833,699,191,628,110,105,425,958,759,501,
611,164,653,711,518,674,396,825,606,422,781,624,728,717,751,576,611,208,238,
008,426,646,471,520,247,243,544,253,301,033,837,594,553,442,524,182,212,019,
715,162,416,772,114,764,764,111,343,847,989,945,258,023,398,466,757,031,506,
147,479,165,300,674,672,170,587,515,084,699,609,472,969,471,991,888,133,388,
673,823,540,470,754,389,560,418,396,715,114,944,554,288,195,089,595,867,332,
759,149,133,470,065,597,027,611,824,691,752,221,271,556,208,073,878,868,747,
834,702,867,252,872,055,986,736,190,064,673,046,571,003,239,052,445,340,421,
380,937,448,418,988,837,736,750,017,791,272,869,713,598,437,556,084,578,075,
645,141,904,461,507,732,358,241,495,416,450,236,199,545,218,441,627,942,932,
551,247,474,504,030,027,133,637,350,248,703,420,153,116,495,215,903,662,869,
168,919,722,542,662,125,503,256,695,798,781,983,380,895,756,792,827,351,600,
421,082,487,592,315,697,380,501,979,138,800,958,071,093,097,998,653,853,674,
602,724,944,588,810,256,002,873,778,242,919,106,831,585,137,407,868,760,632,
055,697,837,557,777,607,493,973,113,411,145,660,196,332,497,299,602,597,164,
689,674,738,296,795,936,551,923,645,356,634,730,084,007,860,184,245,501,708,
269,802,208,121,908,073,700,885,787,121,635,729,300,573,584,886,666,305,059,
225,549,413,459,333,207,133,941,970,999,173,191,829,683,300,331,754,596,242,
516,467,465,517,436,227,335,447,249,798,964,437,388,206,206,677,615,123,046,
079,295,447,948,560,245,918,262,353,598,939,990,220,579,324,793,711,701,189,
077,112,142,245,781,673,703,997,597,178,307,660,696,698,627,375,739,670,525,
984,446,616,326,364,357,686,809,106,081,742,410,083,391,024,290,255,570,547,
208,022,318,263,964,158,135,640,835,325,403,482,987,338,370,328,335,604,840,
043,765,217,843,323,269,514,501,055,958,074,438,847,031,737,152,533,383,843,
826,818,292,116,838,733,580,076,365,821,861,662,605,427,955,423,818,922,393,
637,929,613,214,445,784,404,315,397,960,291,577,494,371,618,536,615,233,843,
024,920,955,397,932,502,524,061,179,351,817,392,753,305,166,469,383,127,674,
008,287,615,081,222,827,780,454,026,455,929,007,258,293,165,679,355,067,304,
876,114,212,327,944,876,138,835,383,135,433,659,270,199,051,726,402,385,489,
623,815,727,408,011,744,028,009,036,429,700,695,737,552,257,420,998,012,199,
989,984,086,571,575,965,267,632,049,542,349,584,996,317,969,804,725,837,679,
075,733,318,075,376,291,041,615,636,417,083,365,110,706,295,538,381,917,613,
570,586,978,277,885,901,716,487,146,336,872,079,294,923,560,948,689,918,340,
611,396,616,605,943,403,266,468,203,267,099,573,077,053,470,045,059,556,401,
175,728,561,840,565,233,480,425,241,749,916,024,638,589,481,584,341,422,616,
578,592,968,431,761,850,003,473,559,643,673,885,919,620,787,261,182,034,271,
850,595,114,841,729,231,703,412,025,329,352,813,799,139,529,745,979,725,910,
656,594,274,765,728,915,078,106,593,831,098,991,472,127,560,428,905,474,190,
085,582,361,048,970,671,817,580,263,686,679,229,423,931,707,685,769,499,655,
441,281,647,561,722,701,449,442,098,362,936,045,302,658,200,533,444,414,633,
561,109,021,264,432,544,560,670,225,181,732,619,240,215,078,376,719,710,974,
935,662,907,614,574,028,737,703,703,000,111,295,414,868,818,679,128,935,315,
901,350,896,992,906,819,182,137,689,300,490,088,356,214,351,650,729,086,628,
942,778,845,687,767,849,373,951,921,842,375,557,478,888,632,797,279,378,050,
228,087,347,238,250,442,175,594,839,121,578,551,188,270,417,174,670,221,222,
729,415,623,299,255,096,361,330,527,128,483,898,748,033,167,748,626,755,476,
609,104,020,605,239,189,121,510,462,480,770,253,459,259,903,586,605,398,372,
343,161,864,082,919,023,463,332,830,871,432,555,700,275,891,690,744,979,428,
890,254,325,522,619,502,326,852,626,301,162,615,449,183,122,141,144,896,026,
340,457,350,961,725,407,457,779,420,980,572,360,136,730,095,530,640,791,802,
851,055,905,722,687,945,827,146,715,790,992,855,734,475,178,349,504,415,389,
779,994,476,624,994,141,525,943,254,626,954,914,138,102,715,352,000,749,604,
621,845,140,574,641,598,815,455,443,800,770,719,526,555,277,251,977,068,545,
574,760,209,100,386,314,922,763,399,790,645,547,945,736,852,988,206,646,603,
497,480,957,084,352,294,674,551,907,313,125,075,065,904,495,278,745,293,029,
658,738,133,765,866,356,848,773,039,084,320,494,221,440,946,604,638,785,699,
437,484,929,799,736,643,365,197,259,427,766,082,235,985,182,364,542,653,363,
566,540,339,785,640,707,967,743,699,980,221,464,156,514,596,957,305,384,883,
787,670,414,080,762,439,834,861,643,586,439,644,692,828,343,736,108,514,058,
883,216,762,391,693,303,650,605,406,254,047,589,118,689,523,531,603,463,858,
289,958,048,156,347,457,478,445,280,148,814,462,483,833,036,520,612,228,817,
314,285,198,612,221,737,580,656,580,521,400,413,412,279,206,195,430,852,776,
095,817,543,081,242,242,463,249,430,727,473,722,919,319,534,363,574,639,774,
849,530,656,709,417,276,354,808,693,128,116,993,506,503,127,693,760,103,190,
582,042,594,102,235,933,628,130,394,459,946,012,176,078,971,457,519,782,000,
312,437,029,397,711,570,713,101,539,049,548,141,576,010,168,898,027,216,652,
495,494,688,767,526,837,229,313,775,098,941,135,804,318,707,635,904,486,609,
426,746,893,466,998,601,669,838,616,141,084,945,548,289,447,428,306,161,811,
859,215,745,902,492,127,756,427,589,474,689,118,157,629,121,372,608,647,010,
473,126,026,721,054,924,800,301,511,944,198,870,518,069,564,429,097,150,568,
718,225,929,603,407,053,094,483,913,397,187,414,537,471,119,050,864,730,365,
934,075,002,371,990,512,163,240,021,516,119,378,718,347,144,000,500,934,049,
229,273,843,160,039,643,206,509,505,558,144,308,262,686,581,788,077,601,647,
800,880,439,479,802,250,624,293,566,078,660,748,537,996,424,403,432,647,908,
621,966,049,830,330,589,817,941,622,062,194,897,420,398,860,452,702,207,059,
660,532,616,586,377,894,415,876,937,236,446,208,276,631,233,541,833,945,273,
835,586,469,932,111,642,194,006,718,219,775,772,254,755,913,949,210,182,932,
480,536,611,567,514,373,465,326,997,010,020,671,382,737,963,533,030,064,451,
033,073,642,538,411,093,568,924,587,360,282,473,332,676,686,058,268,550,711,
942,854,164,949,002,795,761,574,505,704,304,580,088,772,031,992,737,962,667,
727,333,705,451,556,341,703,683,260,870,240,589,260,853,151,227,555,019,271,
278,626,895,016,625,336,968,528,976,978,225,450,457,212,988,765,420,864,861,
034,257,864,918,327,036,411,303,693,794,507,058,505,938,512,889,052,038,552,
246,859,327,232,904,695,219,020,387,887,822,675,604,615,993,920,378,521,137,
000,871,402,415,917,763,953,955,239,825,554,418,815,333,893,833,908,297,798,
685,192,533,629,148,829,387,260,684,089,922,997,816,817,972,125,468,130,183,
256,526,345,399,565,080,747,096,942,091,220,654,866,570,502,225,786,344,802,
024,831,681,836,617,548,430,126,427,391,459,016,807,217,414,058,335,880,284,
998,196,996,115,857,620,767,697,085,927,115,791,242,038,478,260,622,481,575,
186,748,189,771,705,105,424,723,906,625,193,591,008,874,876,359,766,933,848,
693,316,769,793,007,073,550,916,819,404,351,120,501,938,847,860,743,783,377,
348,842,861,561,121,790,677,206,698,749,255,248,334,901,500,313,294,944,651,
131,870,520,150,586,414,785,269,927,522,407,740,244,137,882,715,810,345,936,
770,253,082,224,330,052,339,628,365,973,220,135,685,967,067,043,018,580,957,
736,543,317,905,581,103,732,595,900,056,599,311,027,351,981,557,366,321,127,
044,052,289,784,806,431,009,973,248,933,202,865,102,285,367,386,660,587,606,
830,075,939,079,534,458,170,905,819,341,304,645,096,630,626,843,038,070,086,
941,118,197,524,189,035,376,163,585,145,529,564,319,316,178,715,327,635,434,
107,962,293,735,156,884,539,575,440,060,262,202,619,506,076,197,305,592,246,
887,432,124,450,041,891,728,862,450,935,023,992,752,622,671,730,630,671,289,
453,616,347,787,157,511,742,902,862,355,855,301,327,761,473,841,354,593,311,
104,824,389,836,512,106,859,967,798,417,673,968,904,164,600,569,681,367,336,
431,476,656,051,894,176,379,864,551,846,114,777,373,549,981,995,946,456,296,
766,919,869,749,687,865,403,932,914,706,660,292,042,828,476,124,362,799,131,
339,964,493,171,538,456,769,201,790,977,931,228,062,073,785,518,048,260,531,
629,866,688,004,252,340,993,698,701,507,451,185,623,954,601,781,159,989,597,
019,122,399,933,514,854,439,457,847,260,978,703,744,665,216,605,429,479,170,
418,472,063,218,752,837,878,001,141,677,248,822,726,050,617,744,078,134,018,
136,919,521,357,260,277,278,751,562,494,179,517,262,978,377,099,204,029,711,
345,109,968,164,593,199,427,029,841,747,295,507,938,710,810,710,934,686,835,
072,630,115,145,956,369,116,581,647,162,107,021,952,034,323,692,484,035,204,
509,908,936,086,080,838,551,300,965,934,914,572,844,378,958,017,159,374,861,
060,036,590,576,568,300,417,512,995,674,353,830,948,234,026,323,759,122,571,
061,976,115,970,493,024,523,024,855,378,269,771,347,693,531,788,727,446,149,
542,636,490,995,758,034,014,091,901,342,241,668,292,515,062,360,040,494,470,
022,618,776,531,805,441,594,767,863,959,818,646,248,000,406,720,806,970,343,
963,943,092,207,202,594,928,877,252,279,517,748,930,580,966,238,471,121,496,
724,502,925,368,514,035,723,785,669,526,814,724,812,029,044,995,515,537,812,
111,188,412,799,348,591,290,923,206,967,794,735,704,680,733,107,890,099,508,
451,698,424,622,270,930,091,105,946,082,018,729,484,283,852,444,429,152,086,
309,290,622,443,141,424,465,557,467,781,474,138,484,961,879,303,042,214,052,
769,169,775,473,296,112,736,736,232,471,321,748,589,345,624,684,350,889,785,
383,711,147,324,143,695,900,212,953,187,149,582,696,810,225,996,423,640,038,
364,432,304,782,319,974,447,285,041,589,267,319,044,644,175,303,824,027,526,
860,202,936,817,425,721,064,414,288,352,063,608,592,850,365,078,326,459,209,
800,948,489,033,370,698,514,232,385,760,313,011,109,691,892,485,469,738,750,
517,385,202,005,300,730,694,333,139,043,422,003,652,877,629,202,296,838,711,
669,929,912,107,750,734,906,498,029,680,198,569,874,974,620,996,305,514,501,
879,660,099,315,202,621,674,041,361,174,098,962,692,697,219,973,888,781,572,
755,495,634,262,467,674,256,627,826,596,892,008,370,384,313,654,792,486,526,
099,943,947,354,334,774,922,052,893,837,827,922,067,034,843,561,946,080,688,
945,059,230,732,613,650,895,641,498,240,839,324,691,687,179,869,064,073,798,
817,373,829,708,984,024,260,216,332,424,943,359,480,183,200,521,801,485,619,
093,494,047,885,952,302,111,866,445,400,226,661,107,058,328,789,314,924,109,
857,827,212,143,565,687,149,939,729,568,743,697,438,393,612,142,443,384,393,
549,908,454,473,047,488,475,895,521,683,127,278,314,934,969,045,466,225,407,
563,707,532,264,541,263,738,565,814,391,182,057,911,144,802,547,755,685,695,
056,798,056,412,205,934,751,573,034,934,480,259,239,446,385,027,927,821,619,
773,487,088,466,905,751,495,103,821,190,531,470,026,146,071,397,223,623,550,
758,867,013,168,727,814,639,782,364,149,829,097,724,553,825,143,970,154,743,
236,987,969,976,826,243,362,558,208,826,377,723,519,439,629,275,586,667,527,
622,254,996,091,190,649,066,104,458,923,785,176,115,339,437,443,190,286,604,
112,221,914,227,710,590,342,256,183,178,729,692,501,535,133,904,422,737,554,
496,593,775,491,998,265,964,652,550,338,389,214,535,503,850,423,456,659,700,
564,778,629,966,626,649,122,734,784,250,917,214,429,785,767,413,274,601,024,
609,476,849,858,166,058,675,011,411,198,781,488,494,049,623,894,224,682,298,
540,130,306,170,968,263,021,600,416,759,051,946,987,221,477,425,354,748,253,
148,087,764,035,151,851,513,064,968,496,062,225,289,670,105,339,976,742,829,
712,285,287,573,467,229,165,888,899,242,400,956,274,362,869,585,338,907,945,
781,525,726,294,544,109,224,732,516,823,598,615,436,352,339,522,483,731,057,
216,143,875,829,670,071,359,014,871,947,962,747,303,891,748,005,076,639,548,
918,198,694,350,238,563,794,319,112,620,546,110,492,137,935,635,228,200,525,
944,707,301,040,967,359,264,255,235,735,352,393,834,792,139,815,310,737,288,
702,906,342,602,970,626,483,836,739,846,989,714,367,830,740,669,435,361,093,
983,088,947,823,960,319,339,675,950,172,668,558,720,049,795,878,909,352,386,
799,541,846,418,884,990,061,863,839,299,454,727,483,647,193,400,347,664,666,
947,481,826,943,213,623,543,104,587,701,470,791,085,059,891,705,851,382,098,
963,295,915,337,975,450,367,567,872,217,542,559,071,416,554,732,324,743,810,
142,663,415,347,384,684,416,121,148,892,771,609,189,204,303,971,252,550,698,
787,043,280,249,929,214,321,268,217,141,221,644,392,410,163,040,322,318,025,
845,851,958,188,279,699,848,221,468,273,636,881,887,219,323,715,914,858,876,
867,028,518,510,269,109,543,870,687,308,201,403,771,365,874,022,432,536,788,
736,176,875,062,041,574,690,395,600,134,678,439,422,942,938,407,775,729,864,
351,588,652,457,039,875,424,444,879,770,385,737,353,297,319,142,693,923,707,
960,547,977,531,846,950,929,773,606,530,752,093,009,561,765,088,806,316,748,
225,764,284,573,769,008,647,084,366,034,368,352,930,603,248,172,597,434,429,
173,269,947,369,836,638,571,399,068,026,538,465,657,207,083,840,906,258,527,
132,143,181,618,599,179,270,120,462,712,135,328,096,764,779,583,800,808,469,
518,862,056,405,620,647,967,581,724,144,088,905,651,607,169,474,897,450,838,
868,731,155,750,261,126,449,882,775,290,674,016,623,035,612,533,842,516,612,
964,458,847,471,707,353,930,753,806,522,872,648,705,807,791,021,782,763,098,
500,502,561,765,073,069,787,260,877,777,677,659,279,726,834,841,927,705,552,
448,672,579,283,552,530,974,673,844,592,565,599,237,495,573,212,228,429,121,
897,137,946,300,592,891,947,605,111,716,289,425,024,786,523,111,366,910,026,
345,662,674,021,153,324,941,678,597,648,500,904,796,569,582,777,587,760,765,
359,780,443,616,604,645,068,315,055,863,559,156,029,493,802,202,099,702,995,
601,459,606,663,667,635,577,813,887,067,442,992,921,342,171,398,363,400,781,
108,797,614,249,487,021,870,977,763,179,604,901,143,305,572,338,328,434,531,
029,766,793,355,745,309,536,493,157,148,317,402,005,483,458,826,816,541,563,
097,348,492,463,683,818,949,892,519,652,109,900,559,479,957,510,061,276,876,
265,926,810,242,828,857,131,244,922,488,884,850,919,012,206,688,217,104,990,
245,817,663,445,738,513,711,106,787,704,221,332,288,703,740,772,681,817,894,
986,883,918,319,653,391,573,996,918,762,323,280,973,374,986,640,552,056,378,
240,418,650,628,273,475,273,116,869,221,153,959,181,583,354,777,997,751,037,
198,416,224,104,636,125,431,749,931,399,488,534,186,191,937,099,759,292,321,
883,010,070,055,110,393,953,152,333,238,360,011,097,619,239,443,546,875,737,
121,831,904,375,447,399,470,512,438,867,920,237,301,016,693,001,924,645,341,
264,099,113,501,008,083,209,511,748,247,265,900,139,406,069,509,194,548,781,
159,357,411,492,792,871,948,375,286,339,174,376,464,460,643,000,714,485,388,
151,980,885,213,955,445,016,682,800,821,436,527,278,236,210,638,973,199,812,
030,572,805,853,604,177,734,478,047,136,586,375,766,428,982,098,650,787,076,
830,550,622,858,905,499,338,268,233,591,370,381,348,454,774,080,903,264,315,
343,057,655,766,545,190,667,799,183,815,401,908,076,356,266,329,569,772,966,
358,074,347,248,019,906,431,041,082,987,473,228,549,458,708,033,983,588,469,
472,880,867,753,603,168,164,093,774,507,475,579,750,161,323,866,301,545,702,
890,881,259,864,084,215,672,676,889,495,044,811,569,491,945,783,443,466,665,
553,302,273,492,276,500,356,427,911,776,318,653,567,777,846,543,081,482,968,
249,927,612,276,085,050,947,026,052,818,684,397,919,934,057,097,550,619,293,
609,464,538,007,812,101,143,822,745,530,329,026,177,396,052,518,514,162,361,
404,975,139,847,034,354,959,734,684,272,443,033,528,085,509,808,915,975,109,
014,762,709,858,560,416,515,976,823,073,166,224,071,122,010,257,056,064,465,
600,594,802,079,744,751,886,816,079,076,813,242,683,232,738,954,390,196,323,
339,883,845,093,088,596,043,831,654,831,900,847,985,376,694,798,705,736,881,
038,140,743,259,840,545,810,033,884,511,199,264,866,241,626,854,204,124,165,
909,732,806,251,055,698,761,114,082,873,430,482,933,852,677,993,707,884,826,
768,447,637,382,642,954,019,756,715,207,548,414,605,006,844,672,223,954,325,
060,919,309,724,072,804,043,299,826,625,357,484,630,694,178,535,367,676,609,
742,504,479,315,951,058,402,692,583,162,855,274,665,431,660,714,173,292,956,
412,899,850,071,892,750,594,091,880,730,936,159,689,965,369,851,245,044,985,
880,154,446,251,780,764,021,129,935,023,458,772,434,326,056,357,468,678,988,
965,204,695,243,991,677,967,587,107,491,907,712,833,700,590,199,099,702,694,
178,453,926,313,743,284,358,648,791,531,556,519,323,037,141,049,851,095,089,
289,266,650,135,431,864,079,639,876,618,872,075,146,618,539,385,766,033,541,
272,360,512,671,363,775,999,030,973,798,843,794,762,572,356,879,672,281,027,
031,035,931,155,506,625,179,912,698,097,697,835,887,697,895,427,470,967,358,
967,991,289,760,098,066,917,720,259,086,339,665,988,827,477,542,978,958,397,
426,935,357,611,261,204,020,989,233,411,949,140,927,952,089,432,671,030,049,
758,798,564,963,903,161,713,532,201,809,802,713,947,259,321,158,105,802,559,
277,923,915,845,641,644,735,178,718,104,662,348,553,484,986,102,142,188,492,
527,807,894,136,086,098,189,056,297,674,784,609,275,483,158,843,436,956,546,
830,465,849,800,704,428,274,263,302,056,418,411,960,855,543,246,629,140,134,
923,164,148,910,890,729,084,838,626,080,689,378,945,550,908,202,745,151,902,
276,543,448,072,922,445,730,506,275,125,603,608,024,775,107,232,267,016,351,
059,700,923,069,437,292,485,099,162,225,042,299,028,972,356,741,259,485,679,
007,794,053,766,022,558,549,592,304,575,377,971,992,195,545,216,666,292,791,
538,512,429,265,165,176,509,212,864,514,147,314,421,931,876,414,001,447,903,
621,288,660,635,341,346,945,744,441,178,001,676,684,932,549,048,686,554,278,
417,778,609,576,987,192,960,586,732,651,391,116,621,680,271,842,037,618,978,
517,091,730,833,090,428,719,592,589,965,892,724,448,445,596,783,545,184,309,
962,412,754,249,205,337,762,834,956,239,915,868,450,554,097,820,757,911,801,
871,397,180,356,808,355,954,302,599,327,838,473,700,978,253,643,087,970,609,
530,403,119,422,415,015,194,318,107,622,222,699,464,370,980,973,485,710,843,
539,215,164,913,834,799,795,712,055,115,879,842,891,933,787,296,244,096,584,
813,562,525,036,217,979,900,109,814,274,638,579,312,835,193,538,337,852,507,
043,885,046,390,711,120,013,684,540,843,294,890,526,468,393,157,405,665,155,
915,472,006,713,827,852,685,117,100,758,120,354,433,734,684,360,832,234,181,
198,791,442,436,140,520,397,997,216,369,020,811,420,562,706,259,568,511,869,
812,785,003,009,368,696,812,064,353,820,959,846,028,979,478,315,408,365,682,
828,738,541,069,031,972,492,933,788,574,898,148,744,457,728,671,858,108,776,
827,320,475,261,781,105,232,399,954,032,263,508,865,959,833,791,020,681,800,
763,047,828,664,893,702,671,190,308,086,143,291,279,454,389,564,790,148,004,
548,754,626,836,138,948,039,482,890,110,429,180,315,692,188,903,070,983,438,
147,794,158,287,904,181,410,687,693,118,342,586,311,907,983,462,148,594,528,
260,163,479,510,341,680,423,086,807,483,777,020,349,301,936,292,848,638,031,
552,661,528,906,741,272,019,803,625,596,656,253,365,150,222,077,063,629,860,
200,348,769,588,845,415,627,328,726,874,270,311,801,893,652,863,574,101,333,
104,390,384,992,832,961,544,822,611,009,433,971,851,505,468,067,294,204,150,
799,212,672,109,762,269,096,628,134,687,708,392,930,866,179,451,865,323,824,
177,970,948,971,920,880,525,429,046,516,960,404,271,428,857,005,662,470,533,
436,696,900,504,331,760,108,866,650,684,853,686,248,041,616,762,222,741,849,
672,950,947,841,181,256,335,694,611,054,730,563,315,848,898,756,107,309,255,
452,887,023,343,169,023,173,716,726,175,257,527,397,518,898,713,826,208,829,
973,824,191,269,617,441,192,939,048,830,774,899,680,242,651,393,322,917,958,
866,901,857,144,175,570,812,150,304,969,302,999,211,209,552,300,873,930,519,
725,517,577,886,732,636,763,392,959,153,599,213,040,753,365,614,397,793,129,
805,337,960,489,622,085,182,712,709,265,617,220,769,206,987,484,125,076,105,
570,571,841,622,406,554,503,331,345,768,500,660,353,519,234,495,008,622,926,
923,695,165,665,961,410,708,579,176,962,463,051,404,821,683,338,317,094,892,
314,108,450,572,049,649,028,350,212,865,029,773,334,922,880,085,040,204,279,
623,342,808,733,575,044,600,885,309,116,745,224,445,398,852,709,665,091,706,
686,612,253,374,763,515,309,494,711,719,230,046,478,035,782,227,970,162,229,
865,937,684,270,565,938,040,544,975,146,039,398,322,620,555,350,039,285,484,
000,201,535,070,960,164,606,234,016,187,527,215,344,822,198,345,635,158,557,
601,439,052,708,056,484,074,660,574,759,205,206,095,148,665,434,830,260,891,
087,539,156,508,427,739,082,211,323,691,455,556,215,538,814,273,655,157,621,
512,800,322,581,018,573,483,344,896,855,170,269,963,628,081,899,605,486,551,
066,697,641,105,496,083,459,840,476,425,453,150,050,490,358,351,066,877,986,
004,228,420,916,205,120,754,765,569,360,261,428,822,231,102,142,355,431,312,
577,002,206,967,042,192,490,138,673,076,967,807,969,168,610,919,512,760,954,
615,413,946,343,346,662,361,352,857,132,313,022,401,246,923,506,823,911,839,
980,445,867,521,907,983,926,681,784,063,023,208,208,637,956,043,612,834,003,
441,236,310,810,347,755,883,046,319,736,405,227,643,133,035,910,814,351,158,
245,790,999,334,622,854,702,385,878,310,037,717,171,530,477,927,305,360,876,
939,712,380,833,143,031,439,428,578,063,107,374,985,973,914,810,173,551,039,
189,660,462,960,765,054,611,399,182,477,724,792,105,224,131,099,129,725,584,
885,245,438,461,233,669,871,272,799,878,378,431,863,591,474,991,723,899,390,
412,905,553,395,631,537,268,512,284,199,867,921,785,906,776,747,284,788,411,
562,581,155,443,972,518,111,266,015,399,880,665,236,976,870,727,830,386,193,
543,051,873,432,981,053,702,798,338,767,955,629,813,519,179,047,249,657,344,
539,972,822,515,816,772,106,919,943,743,825,675,038,916,284,365,584,247,025,
149,209,147,966,596,832,989,235,671,352,184,459,760,316,265,394,903,302,709,
463,418,787,239,878,970,386,915,831,839,802,766,933,604,715,450,512,002,249,
849,251,704,459,450,326,433,927,515,131,522,207,158,934,097,764,776,073,153,
773,821,235,192,828,131,026,533,895,114,489,598,132,456,291,483,154,976,226,
063,729,968,273,272,331,696,752,951,038,649,115,550,547,271,577,332,368,994,
549,946,038,340,500,758,752,248,949,135,649,684,950,196,119,889,415,194,903,
913,337,250,918,103,200,379,497,712,810,686,671,793,644,309,974,619,912,817,
163,890,531,909,408,030,208,862,682,761,532,620,162,443,371,382,246,414,831,
975,585,483,033,304,136,854,111,694,220,635,864,480,787,598,348,575,930,141,
416,550,756,640,086,608,936,080,237,833,235,748,106,503,856,732,798,745,531,
963,485,044,904,029,351,297,924,079,399,705,610,179,326,309,939,205,612,644,
047,823,559,524,893,928,228,986,488,040,475,622,996,676,395,371,246,032,061,
303,800,136,877,606,837,086,731,337,434,897,903,435,561,402,510,842,619,244,
080,647,089,157,875,627,893,478,844,403,512,005,880,207,397,229,571,714,377,
217,630,869,902,080,267,718,300,036,818,298,089,112,012,207,864,486,564,316,
288,132,345,061,770,006,141,191,414,805,512,045,927,530,723,349,855,144,098,
171,624,835,897,353,392,613,962,110,905,349,692,151,477,216,166,290,435,282,
221,991,460,036,435,850,695,078,701,219,122,258,793,511,395,576,482,941,510,
959,091,851,030,241,250,373,307,511,325,342,265,058,493,569,553,698,363,952,
007,857,067,147,404,988,209,394,218,360,254,760,981,341,077,153,919,344,834,
893,900,210,442,257,217,766,234,873,323,583,694,837,096,936,322,475,984,361,
117,526,327,094,975,471,401,896,882,283,598,182,824,060,964,466,610,967,408,
525,988,049,474,561,738,870,268,620,693,932,339,894,074,510,514,830,336,464,
145,156,990,374,073,240,301,855,281,086,411,539,067,722,041,863,276,244,616,
211,584,074,799,303,836,903,350,150,383,187,382,850,618,561,092,005,284,954,
017,596,417,296,356,841,131,052,581,810,769,176,325,674,442,691,247,099,649,
322,949,665,492,578,623,645,205,566,872,856,995,697,709,011,671,125,478,592,
011,009,825,038,035,054,611,533,566,784,309,824,105,960,575,498,628,167,128,
921,221,559,557,708,590,322,841,893,123,849,373,813,047,326,250,547,992,656,
822,986,625,646,417,473,433,853,917,467,881,601,621,515,673,726,330,326,699,
223,741,959,602,462,421,588,833,416,642,830,790,646,562,225,876,667,489,513,
395,532,605,997,622,449,710,440,004,374,279,553,457,659,903,332,268,420,588,
462,476,603,303,720,986,516,538,034,863,614,842,394,621,583,694,803,833,873,
409,618,930,355,740,157,565,007,995,456,002,425,173,901,252,454,911,360,290,
289,903,418,976,536,106,739,606,888,081,643,937,279,756,832,518,829,374,890,
272,489,750,921,793,764,496,295,706,649,891,272,368,112,720,033,205,672,439,
381,801,988,864,408,369,974,623,559,757,433,350,636,672,620,699,287,190,356,
181,891,388,933,707,144,801,772,406,008,879,696,677,741,402,409,597,134,339,
345,385,678,736,316,367,815,497,473,725,749,094,482,238,922,597,483,371,248,
666,110,794,801,755,463,544,827,690,103,007,410,590,052,988,334,806,774,614,
571,053,290,783,744,598,840,497,401,757,199,245,008,188,001,179,248,871,520,
969,182,849,013,166,981,313,071,674,598,940,872,818,891,259,519,810,369,582,
072,039,867,302,231,731,081,943,275,908,546,366,275,036,141,449,839,951,813,
647,938,731,979,411,763,265,530,545,255,418,161,536,214,242,371,985,967,109,
285,642,100,769,612,922,815,777,450,123,676,030,390,331,189,930,278,997,185,
495,595,327,697,365,324,891,055,866,738,751,756,810,738,812,755,356,239,107,
771,832,243,965,823,951,625,755,587,177,725,630,298,167,211,957,817,958,493,
346,953,715,468,177,832,822,997,168,405,194,453,429,085,970,026,022,754,553,
570,133,288,097,545,808,910,710,000,336,910,753,109,928,417,506,370,929,443,
996,014,162,669,652,522,971,320,942,283,070,171,310,823,939,140,523,565,228,
263,828,757,063,493,834,023,929,675,283,436,348,592,289,792,737,170,179,588,
780,782,706,463,841,680,277,964,354,408,361,380,295,310,339,434,862,188,225,
906,092,611,177,219,637,634,038,364,962,366,402,037,565,037,272,764,983,345,
591,271,216,072,171,881,104,120,640,987,036,470,781,343,206,377,457,141,890,
287,656,951,816,590,288,296,068,246,072,737,244,036,402,950,336,991,381,755,
511,363,423,835,450,060,540,784,727,377,419,642,883,717,561,822,897,985,303,
961,666,005,363,742,948,185,892,552,581,208,286,535,539,705,271,550,060,231,
481,720,211,525,051,176,720,271,699,210,825,849,985,615,182,211,724,701,202,
554,076,686,019,799,843,263,374,569,191,815,365,840,148,130,148,673,914,323,
185,561,027,924,764,078,144,569,836,638,224,447,360,836,654,037,798,812,152,
881,215,916,523,073,566,165,832,788,945,101,985,296,105,669,209,544,749,719,
671,077,649,751,144,246,705,761,478,107,178,431,030,145,158,316,528,121,828,
777,573,940,250,830,007,504,118,479,474,348,416,128,841,025,264,506,834,456,
505,722,076,617,837,312,243,427,057,319,679,056,061,156,023,121,571,686,408,
859,475,342,231,553,430,060,712,862,540,601,997,378,376,350,942,299,088,503,
577,320,876,496,305,908,588,651,973,963,078,371,019,232,078,156,787,686,779,
377,219,930,004,928,869,479,269,409,754,317,250,243,341,946,386,552,553,645,
061,115,015,687,748,582,630,414,909,211,771,306,803,309,087,771,640,320,766,
764,150,234,040,426,812,635,510,226,068,839,191,917,390,025,809,709,796,652,
973,288,015,558,293,753,129,139,126,006,242,929,875,283,318,958,058,061,393,
677,270,923,037,667,637,396,829,974,697,795,964,182,064,281,948,596,467,512,
356,617,698,440,777,423,154,288,122,352,075,694,312,536,504,953,939,226,660,
221,708,687,685,360,289,093,155,154,802,589,129,299,969,074,846,818,931,518,
093,579,652,136,220,651,850,570,094,495,446,335,358,502,359,928,640,873,584,
804,602,259,946,398,445,366,012,426,631,969,476,479,149,239,529,541,859,843,
833,003,361,340,469,996,243,202,007,147,965,959,959,352,094,517,884,978,023,
192,958,728,901,509,802,976,491,732,507,430,946,552,105,764,063,457,552,052,
010,773,801,628,850,172,485,012,909,801,284,032,432,501,999,561,491,167,581,
385,796,263,121,330,003,126,757,777,366,803,162,094,810,420,158,005,770,288,
419,277,485,984,145,665,772,206,607,017,536,369,667,545,950,220,319,053,884,
220,814,408,444,698,605,038,423,746,990,297,552,804,331,583,553,676,539,758,
111,316,184,185,142,593,934,185,789,468,958,472,431,993,839,586,419,556,255,
817,682,021,879,833,933,268,888,059,813,992,689,617,950,342,177,348,614,456,
488,491,433,960,715,380,817,714,701,387,919,827,914,108,096,620,861,092,241,
757,376,495,206,980,332,457,638,235,698,549,804,286,154,496,544,432,809,957,
305,811,672,362,884,924,775,961,305,341,896,726,746,159,718,893,060,962,656,
581,088,585,205,605,415,732,129,996,410,379,804,094,095,898,431,357,863,823,
468,674,803,361,591,406,700,305,763,923,905,224,287,369,173,083,613,679,840,
426,863,373,237,510,520,896,126,961,007,701,180,481,985,464,060,129,514,880,
971,342,237,057,956,724,146,384,727,031,035,677,346,133,205,266,747,705,832,
772,509,251,731,969,209,647,269,669,981,658,609,636,426,370,529,234,531,092,
936,437,288,340,063,737,556,844,021,221,938,737,772,345,225,026,009,935,641,
261,992,633,572,769,602,376,813,899,325,950,213,172,509,172,450,653,532,326,
008,805,197,369,394,514,969,589,480,753,113,229,820,368,247,104,846,546,672,
253,075,656,665,295,210,359,438,463,326,901,590,258,420,699,905,072,215,155,
977,038,483,212,509,485,328,436,153,668,796,927,662,494,933,358,215,893,216,
080,584,666,688,978,422,153,429,181,187,148,258,524,684,018,212,501,866,296,
144,661,559,719,887,078,373,531,108,378,642,035,617,421,651,643,638,317,003,
108,294,689,404,806,199,163,780,762,939,119,706,830,929,670,136,186,962,852,
983,598,996,057,148,296,209,537,536,341,741,792,445,840,520,383,551,658,993,
742,740,019,670,964,383,932,805,953,543,683,524,447,005,946,187,495,422,012,
408,311,805,124,494,212,950,530,936,523,677,444,562,038,833,602,411,931,124,
152,486,596,714,390,631,099,182,888,874,156,698,122,162,252,307,578,977,908,
439,540,252,803,434,730,699,252,371,721,835,854,544,395,355,842,377,411,800,
474,239,391,011,211,655,255,242,453,199,639,267,497,666,040,736,841,650,736,
121,334,521,100,392,572,069,198,600,509,150,765,083,183,164,609,171,459,153,
803,790,160,024,105,133,591,462,750,366,479,964,681,571,544,115,746,321,353,
734,332,603,810,858,734,127,183,243,158,361,532,176,452,474,096,037,367,603,
310,132,860,202,075,037,045,878,067,989,134,755,963,414,612,173,302,606,702,
416,433,176,105,585,700,535,132,595,749,149,610,111,363,302,997,906,598,741,
508,198,797,458,011,861,587,231,294,119,781,076,040,326,702,057,184,131,163,
435,538,232,142,953,195,373,487,482,303,464,479,190,037,525,385,957,747,433,
289,929,197,325,836,824,366,832,473,337,998,926,617,217,526,384,701,509,997,
809,577,388,975,751,482,085,676,310,926,206,906,349,593,096,156,486,638,210,
295,910,533,804,586,671,386,300,928,091,560,573,235,021,768,206,623,031,590,
071,035,816,791,793,249,287,028,354,642,031,675,892,394,421,569,769,786,635,
367,484,458,304,504,857,741,423,315,508,151,847,216,307,247,562,078,945,570,
190,950,688,112,677,207,146,736,972,440,425,334,392,559,187,761,251,476,781,
205,819,329,052,694,054,273,139,029,934,696,453,485,812,049,444,934,842,250,
987,117,651,502,273,177,319,067,160,355,571,894,575,611,798,055,138,412,467,
788,007,505,072,752,989,786,052,258,907,720,388,996,055,516,601,313,684,725,
545,834,278,237,594,618,743,899,398,379,065,142,425,081,552,890,662,779,179,
985,981,331,547,263,289,479,113,516,556,001,614,202,811,118,812,627,633,123,
461,243,557,517,229,003,381,986,957,464,518,415,422,005,024,092,612,310,088,
451,869,591,050,662,061,938,911,322,836,714,290,244,067,562,315,580,440,531,
687,749,361,451,819,407,816,154,193,183,407,128,066,619,419,560,056,788,527,
159,439,863,942,023,423,498,873,345,354,988,449,498,175,768,373,810,806,939,
581,604,026,098,363,246,469,579,049,218,645,080,312,096,398,791,010,924,474,
351,415,851,500,280,527,569,993,607,606,155,992,098,171,177,201,675,104,936,
864,678,664,220,286,879,287,327,237,466,611,966,754,284,730,105,888,038,211,
599,144,048,977,084,718,275,332,285,477,228,511,878,403,084,062,616,119,556,
550,310,576,490,102,505,838,550,946,524,194,790,306,881,704,156,784,554,504,
183,013,210,575,801,497,501,698,932,948,993,776,746,242,665,813,864,874,947,
204,171,728,922,440,730,797,560,994,075,234,129,713,711,555,539,885,277,641,
635,981,207,151,702,848,150,349,572,354,311,756,853,371,198,310,595,144,673,
661,397,619,588,670,319,961,571,410,762,181,731,223,526,622,235,726,158,740,
006,145,933,710,925,838,033,890,921,696,932,676,166,138,783,123,839,238,537,
422,482,733,645,307,081,615,981,272,920,197,014,144,584,312,106,444,602,192,
991,822,583,284,102,744,894,079,088,180,528,525,710,890,721,810,616,154,700,
347,502,303,136,626,347,863,256,130,229,681,758,820,051,447,424,587,269,957,
318,199,922,238,678,672,610,292,073,103,946,505,944,531,489,109,317,859,288,
583,118,967,950,305,172,295,070,258,274,548,842,111,955,799,644,106,759,730,
175,327,222,376,622,767,066,076,291,279,174,521,003,608,301,552,041,431,582,
388,556,467,700,592,877,813,502,374,278,990,028,100,541,890,779,250,644,043,
480,669,590,712,620,484,571,898,121,074,799,752,610,534,216,300,390,550,044,
936,766,171,845,279,699,254,180,545,956,779,239,984,275,506,041,952,955,048,
739,201,158,123,914,605,730,803,766,238,363,045,010,988,031,171,003,933,370,
616,450,865,450,968,777,900,532,227,488,919,130,415,782,882,356,819,224,835,
678,526,003,148,040,249,078,670,610,658,876,124,672,695,800,787,382,352,027,
459,304,322,147,331,242,023,338,942,104,270,282,850,726,021,962,073,895,340,
288,514,851,427,525,641,263,099,117,863,175,715,118,468,264,988,217,656,110,
880,045,812,969,492,638,302,168,309,716,222,770,108,890,734,981,245,052,434,
455,932,304,137,857,377,352,972,352,638,148,997,671,401,601,330,716,018,202,
902,984,777,577,176,959,072,861,891,848,226,884,717,813,477,596,108,601,252,
430,427,174,011,081,237,182,380,429,754,096,120,437,613,177,828,211,388,320,
546,903,380,548,903,861,531,459,701,165,724,126,350,160,904,761,379,186,354,
085,926,750,458,452,160,966,511,495,415,090,723,142,074,465,480,700,531,054,
704,117,456,439,226,852,475,942,789,874,496,331,218,564,666,020,349,328,828,
186,494,678,204,930,905,441,725,896,065,212,170,469,970,590,045,686,593,179,
631,637,618,965,760,024,478,875,417,262,506,508,475,315,454,428,437,425,548,
426,268,744,854,420,874,706,721,760,037,215,606,786,251,111,248,643,611,967,
393,774,237,095,993,066,724,897,261,354,321,299,117,467,578,879,954,206,303,
834,079,750,255,205,199,841,496,231,963,462,789,460,566,745,940,458,737,038,
329,322,041,720,382,909,376,901,295,988,974,989,276,799,079,422,753,144,720,
740,610,206,272,867,758,048,212,959,497,757,913,640,464,885,349,671,262,615,
434,262,186,523,238,236,170,231,086,277,066,708,219,002,785,030,225,322,695,
222,574,364,261,327,618,114,902,822,045,234,046,227,494,508,682,029,183,517,
860,936,163,387,344,514,201,084,615,255,291,332,097,468,776,011,006,954,000,
156,513,803,013,858,454,318,474,912,973,474,328,647,218,821,710,649,179,803,
078,480,114,782,768,083,238,490,501,679,823,917,010,075,986,095,337,236,606,
816,643,095,581,342,095,553,628,345,015,923,165,327,493,265,916,368,498,676,
281,057,470,338,911,543,554,856,533,153,305,491,795,454,392,440,217,400,607,
204,683,861,461,863,701,430,388,490,419,564,613,058,849,122,450,439,428,451,
785,011,732,681,938,229,155,552,298,101,298,273,573,139,128,130,976,277,039,
735,775,743,772,764,321,118,942,870,992,221,197,545,327,612,200,478,027,907,
299,449,766,408,851,827,073,337,583,322,367,569,772,663,703,442,566,918,532,
069,560,855,466,960,995,373,303,577,953,741,144,392,614,931,363,612,977,612,
931,512,353,286,745,557,186,343,386,542,947,587,760,293,672,678,835,055,739,
155,528,406,657,734,503,988,657,330,483,336,287,977,788,317,353,892,735,185,
879,406,652,470,039,434,701,151,052,543,991,614,924,272,674,648,419,756,953,
414,277,938,303,351,166,996,072,697,754,124,067,542,226,146,096,374,869,693,
248,191,552,729,000,958,655,719,055,341,101,313,953,269,879,522,992,051,977,
370,943,410,797,677,272,092,709,189,859,696,180,226,916,210,195,533,011,585,
801,998,393,364,128,387,362,970,154,676,229,016,268,245,035,079,398,531,413,
858,318,336,154,859,076,840,237,070,285,905,345,806,710,196,257,742,138,638,
997,954,925,364,156,074,626,395,172,822,705,417,725,808,316,785,584,928,418,
288,390,463,980,835,872,159,367,812,520,616,966,067,939,676,318,906,279,720,
950,471,735,944,110,872,240,223,048,505,080,030,310,157,536,849,641,784,180,
108,382,446,702,513,604,324,062,124,242,020,823,862,333,012,077,726,023,175,
293,872,921,850,873,874,563,065,089,764,447,897,858,367,794,469,914,252,167,
556,621,975,684,175,680,291,171,266,592,417,830,906,746,572,159,711,950,092,
674,280,097,440,365,968,603,621,628,199,965,290,093,437,402,890,792,370,648,
193,888,862,209,609,251,307,980,723,201,399,579,455,464,159,135,453,144,589,
321,789,979,864,008,655,189,506,052,815,121,642,384,202,822,908,352,078,036,
104,248,412,762,040,797,481,487,233,898,870,654,839,260,786,179,272,364,411,
531,697,376,590,776,476,068,903,358,639,799,738,586,511,607,283,282,514,068,
325,917,856,327,763,486,879,685,928,803,883,748,602,391,609,614,402,733,895,
380,414,369,403,814,531,554,303,481,880,112,466,193,670,514,103,083,449,974,
556,326,489,789,476,342,251,940,459,609,253,217,680,253,249,618,878,200,440,
582,812,049,047,835,533,222,667,521,549,734,216,779,509,176,002,794,904,152,
690,810,343,196,455,897,800,067,567,348,420,353,145,827,699,131,905,316,660,
624,666,787,008,736,139,155,416,512,535,115,451,444,819,775,043,929,876,368,
507,125,174,552,436,960,381,053,321,160,201,694,995,079,300,599,887,001,090,
897,687,739,876,223,364,162,898,841,897,465,149,727,847,370,365,928,751,312,
106,551,202,106,674,957,232,544,919,005,936,408,033,580,136,603,548,584,376,
424,876,813,606,991,038,082,703,954,615,056,193,293,356,378,969,481,545,263,
165,888,922,622,461,051,230,535,422,502,625,610,221,430,688,203,304,811,018,
757,553,752,671,628,441,680,408,414,218,829,764,908,789,682,567,063,033,203,
994,006,503,700,467,341,285,398,240,491,355,915,009,993,559,930,172,014,492,
770,187,592,907,097,386,260,486,013,007,310,349,322,688,564,534,225,954,599,
671,328,407,705,024,584,476,424,470,807,756,884,197,989,176,051,358,308,411,
414,339,773,722,418,987,670,684,640,164,987,310,481,560,284,413,622,600,225,
845,490,927,494,472,398,618,443,899,132,023,499,488,263,991,803,870,308,860,
354,141,713,287,897,335,119,754,068,901,184,724,844,465,070,277,235,134,158,
881,083,845,231,213,517,229,871,944,113,527,247,543,224,569,883,726,775,978,
388,131,443,559,742,711,110,489,728,271,824,847,233,880,117,799,481,810,782,
906,108,296,389,593,839,170,795,644,924,086,000,091,256,608,961,631,180,897,
517,109,964,854,473,034,206,886,429,576,113,048,027,903,001,453,226,721,338,
612,862,791,112,665,447,742,638,242,601,555,380,045,309,392,768,139,684,645,
959,123,811,340,095,197,828,854,191,560,764,311,211,178,940,639,551,562,706,
131,203,102,701,909,932,283,471,241,529,663,621,223,920,959,827,667,008,565,
749,143,986,777,951,394,249,742,385,981,288,663,934,429,217,921,879,429,941,
150,725,998,143,130,512,235,859,470,778,787,637,098,729,335,246,830,045,480,
717,932,676,934,403,495,133,083,114,705,592,451,319,518,375,787,084,425,323,
843,358,545,861,949,693,611,687,479,235,099,969,732,900,942,367,296,773,401,
420,862,928,539,737,438,800,455,857,012,624,863,747,212,456,109,841,753,485,
274,070,438,571,701,800,374,955,570,508,065,404,594,129,412,973,869,610,384,
654,531,994,979,495,861,590,135,003,642,972,427,382,864,084,802,776,704,735,
664,717,196,755,354,585,415,728,038,080,739,891,333,342,656,164,185,298,144,
451,035,274,239,391,354,459,033,659,222,908,503,843,045,875,648,899,921,608,
257,024,208,149,153,051,834,916,664,951,263,637,951,647,641,058,401,935,615,
037,208,946,445,043,618,750,109,853,779,719,386,727,210,820,633,418,795,193,
071,545,890,287,054,543,478,068,275,050,627,450,462,637,254,438,152,420,504,
678,930,505,653,390,014,561,728,861,915,232,398,296,902,838,780,110,140,192,
015,371,039,291,778,976,251,161,647,131,108,246,538,939,300,735,058,258,185,
410,016,558,235,777,783,189,556,896,522,198,277,746,099,959,777,576,476,846,
606,249,870,174,729,242,201,848,895,089,346,398,187,569,397,469,127,071,027,
040,341,621,387,525,259,111,665,760,274,906,676,512,243,859,877,807,926,326,
116,612,985,299,662,828,769,394,257,337,505,982,908,359,705,742,870,740,151,
439,961,816,490,238,642,587,110,385,090,436,397,310,036,470,137,393,585,710,
660,288,040,747,926,102,293,998,743,872,841,306,894,281,338,044,131,909,741,
537,943,226,757,218,952,243,847,081,470,989,256,875,612,812,374,433,629,927,
785,227,444,031,467,791,383,639,916,664,753,375,827,313,942,425,991,735,888,
508,126,325,383,606,426,175,358,906,385,310,505,319,766,771,234,800,133,472,
234,093,243,779,960,461,020,076,280,540,492,115,390,800,649,453,264,044,309,
567,997,421,868,971,608,935,502,427,563,202,085,275,619,274,897,610,960,524,
496,262,176,146,118,302,961,132,641,887,846,798,149,501,126,528,145,341,642,
214,703,138,356,207,571,118,009,223,323,505,065,902,099,168,745,678,221,842,
334,818,173,513,766,870,890,783,708,789,220,517,229,460,489,476,102,348,663,
496,651,272,331,419,621,919,584,948,365,088,021,765,906,970,746,484,703,880,
328,227,289,394,159,052,555,892,870,933,234,480,928,873,341,611,322,699,749,
417,278,434,911,201,678,580,747,180,926,994,176,002,524,791,118,595,437,260,
324,079,465,445,611,309,459,563,983,155,862,483,114,856,218,242,441,312,435,
878,575,403,883,466,868,421,248,421,551,308,853,433,300,776,786,633,774,573,
096,493,726,883,817,597,242,766,828,028,462,055,188,077,442,981,647,873,916,
714,422,474,683,247,052,614,616,725,994,106,883,963,238,012,063,624,504,028,
018,060,382,116,347,392,281,888,843,089,244,197,752,343,947,331,874,509,635,
497,059,017,342,240,906,245,337,113,808,520,380,658,245,449,524,260,630,458,
795,807,209,525,388,106,891,058,291,900,607,639,650,019,188,548,144,916,143,
363,939,575,206,872,620,977,950,314,978,112,932,709,404,659,080,275,823,253,
198,007,684,330,195,877,058,589,648,618,540,214,481,524,322,202,397,965,113,
008,536,528,677,542,558,121,240,025,961,251,907,323,577,909,268,329,696,838,
141,892,685,318,544,003,209,261,312,924,229,708,917,661,166,357,864,196,150,
311,726,447,560,485,707,870,502,640,324,907,223,466,634,591,856,692,729,483,
346,812,802,746,096,527,837,129,214,534,338,309,071,772,296,467,056,476,552,
382,068,390,694,432,666,373,219,723,853,750,462,525,649,273,683,669,689,147,
849,265,072,754,108,921,023,715,364,653,075,670,385,085,257,635,592,330,961,
167,190,673,690,075,223,586,596,800,983,490,842,895,239,021,355,475,618,702,
097,391,207,170,298,008,408,341,537,326,087,209,959,159,865,088,335,929,852,
446,650,655,602,090,069,406,983,063,153,839,413,807,269,862,012,704,943,425,
815,543,474,385,294,904,717,931,692,883,714,874,796,898,957,915,141,002,114,
912,483,982,831,332,479,398,033,090,917,721,559,309,919,040,762,468,505,904,
040,054,856,260,879,881,155,585,821,700,659,686,530,506,043,990,666,459,836,
292,171,055,888,809,790,339,099,167,236,786,371,703,067,842,467,893,275,743,
555,555,522,569,680,418,130,066,389,398,574,268,243,213,184,033,760,352,496,
238,334,015,100,105,913,406,947,584,750,815,743,063,775,917,479,628,098,797,
236,276,926,798,710,894,670,305,604,094,007,110,532,248,784,783,657,372,557,
610,408,985,215,709,982,374,232,535,810,278,029,023,187,324,751,722,654,261,
266,802,001,694,793,787,884,318,869,012,166,064,234,552,769,991,806,584,831,
681,284,067,975,789,104,114,362,427,781,110,246,886,868,562,987,854,559,234,
264,692,493,485,462,000,199,073,960,933,667,021,539,737,394,117,918,092,867,
918,769,327,607,395,842,042,704,142,027,718,141,439,354,535,044,560,157,708,
482,238,038,092,235,215,943,719,912,298,010,252,670,397,742,224,261,099,620,
913,742,613,209,319,370,699,138,021,753,105,966,522,402,932,497,783,290,039,
617,471,282,363,895,653,005,850,233,470,107,112,057,454,383,439,074,608,704,
334,039,162,042,401,054,395,952,965,975,144,571,346,998,296,975,525,283,362,
281,710,470,623,399,925,408,448,510,841,502,915,810,102,773,688,196,437,334,
298,899,500,364,008,803,509,554,848,237,482,482,627,754,065,774,555,735,359,
539,411,236,223,875,467,407,738,011,425,619,073,999,083,616,771,717,541,010,
080,649,008,294,454,367,164,997,350,330,051,613,930,175,205,505,398,128,231,
846,364,688,163,627,460,271,200,642,714,592,996,610,274,366,434,629,137,658,
395,272,410,593,646,377,828,223,694,632,953,207,946,704,784,534,844,712,693,
834,361,383,415,903,685,991,364,521,387,222,342,952,924,282,396,909,704,833,
715,186,454,737,218,834,498,355,299,688,802,395,485,348,999,947,722,126,033,
536,661,808,412,627,926,253,103,785,341,101,207,815,218,813,960,373,723,379,
007,364,813,851,149,129,588,116,655,727,133,135,376,111,248,733,539,273,579,
210,722,183,188,420,092,844,594,889,991,100,974,343,876,478,848,251,113,227,
149,449,175,280,243,554,443,861,750,479,451,428,138,085,910,040,293,396,362,
887,846,019,905,209,955,464,150,047,194,978,329,928,322,265,610,533,601,170,
558,166,007,598,757,447,737,133,448,868,224,670,226,476,167,296,276,015,682,
738,631,457,663,224,871,315,074,481,341,179,687,274,193,423,267,434,740,211,
264,353,364,226,717,376,361,119,429,829,771,110,229,786,903,422,257,716,923,
697,329,850,225,137,213,516,921,747,313,550,891,761,158,568,541,996,400,996,
316,974,902,946,070,323,126,667,080,915,272,294,285,277,000,015,268,183,824,
601,612,002,208,821,373,369,067,900,421,648,878,631,860,175,200,447,209,683,
338,282,500,107,065,659,964,884,093,398,113,805,685,521,441,464,945,433,482,
320,667,015,077,289,193,841,445,090,232,533,233,142,156,517,168,725,763,300,
439,104,772,638,408,662,430,182,644,329,074,386,640,698,086,611,872,748,271,
058,196,261,637,780,439,629,920,142,885,578,054,995,892,752,279,970,953,132,
261,476,233,531,865,422,033,820,591,496,530,611,955,555,515,387,426,524,878,
986,104,629,586,647,362,432,601,713,472,438,932,055,612,948,542,787,382,559,
291,428,749,742,908,095,250,424,304,145,511,741,272,095,084,845,946,259,490,
279,990,349,359,568,693,952,805,858,093,098,022,690,528,717,750,698,485,185,
785,731,195,706,919,509,607,978,292,022,483,933,363,125,914,862,863,418,606,
214,932,688,755,569,438,568,126,767,470,775,694,346,214,400,900,278,451,628,
126,856,113,679,447,352,991,371,415,124,133,294,652,033,280,646,514,416,685,
460,360,239,581,656,047,029,163,468,250,268,560,161,086,427,992,913,761,139,
529,851,557,049,108,301,303,046,859,141,552,408,781,886,138,605,905,664,111,
388,860,547,888,079,592,364,347,788,517,385,142,358,831,947,606,991,337,298,
291,294,380,558,590,820,661,509,698,691,280,346,288,574,016,426,454,497,282,
631,011,080,052,912,006,723,396,886,484,298,846,259,977,939,087,971,310,423,
859,891,572,311,665,171,731,334,198,249,115,217,253,638,313,332,712,670,623,
342,419,077,063,044,990,912,031,840,534,943,035,812,384,718,151,259,796,013,
476,015,870,023,068,312,868,376,771,236,641,405,578,930,250,581,949,181,353,
763,620,850,288,380,732,852,271,436,089,098,325,836,170,714,422,275,280,462,
089,536,581,666,281,039,656,711,743,839,124,690,283,204,264,749,704,792,584,
068,400,871,114,099,132,514,650,894,550,884,239,732,394,760,446,097,990,798,
632,189,733,850,012,943,862,279,670,151,750,992,707,540,727,619,571,085,381,
440,240,269,199,351,414,484,269,713,638,937,312,519,634,829,084,470,822,118,
535,794,417,453,634,180,670,873,080,518,640,759,415,895,690,338,279,681,589,
201,139,634,572,015,203,603,877,333,889,860,365,728,740,142,039,940,522,954,
817,440,433,979,084,382,738,709,266,009,411,685,576,171,761,356,704,376,311,
243,559,901,206,587,684,980,566,068,129,215,558,346,900,164,815,754,111,478,
477,243,393,897,183,311,590,233,017,004,499,982,813,459,463,282,578,546,454,
810,671,816,441,698,362,095,215,140,624,126,586,232,505,330,992,316,947,288,
945,008,456,788,411,658,181,373,696,804,634,917,736,235,223,533,027,026,936,
248,147,668,311,309,545,160,147,879,221,359,242,036,341,694,487,596,009,610,
193,306,805,169,335,480,190,999,479,602,584,055,949,350,121,851,774,376,746,
630,792,635,967,401,188,575,726,507,079,973,317,888,753,086,926,828,452,492,
460,319,120,798,938,062,649,984,684,162,086,238,683,625,768,358,715,820,228,
556,596,789,384,886,058,208,825,061,716,406,045,102,468,157,150,372,498,606,
028,918,513,080,724,397,887,376,490,030,152,559,562,126,947,093,042,124,872,
649,317,691,454,917,936,732,655,598,541,742,072,462,695,735,797,009,573,661,
897,815,071,091,593,172,036,967,691,864,943,316,701,430,735,793,546,540,641,
075,341,461,023,222,856,710,282,708,092,853,253,508,759,858,824,069,366,151,
207,118,196,355,934,724,829,201,296,896,053,698,177,072,224,707,250,029,943,
828,780,446,788,719,580,775,472,869,281,422,089,576,389,784,138,173,505,938,
947,132,321,108,466,075,405,839,741,558,586,047,154,417,707,774,630,748,375,
428,611,628,176,230,552,819,123,361,103,078,361,632,705,803,459,031,373,875,
847,887,136,441,619,210,486,930,453,329,643,808,576,262,242,918,452,798,911,
821,619,220,437,871,376,418,819,328,574,406,965,499,523,297,724,413,626,863,
827,826,187,552,742,278,766,711,510,935,657,336,467,098,216,907,739,969,961,
043,156,793,899,883,183,155,918,763,180,573,061,017,250,798,599,682,595,643,
515,226,641,561,358,144,382,692,910,205,633,121,589,719,170,314,718,698,900,
125,953,070,568,272,217,578,272,563,005,606,029,915,061,610,016,544,041,538,
211,918,125,307,475,945,335,170,469,942,386,074,227,485,964,783,213,449,193,
143,220,874,133,051,548,537,607,173,948,987,998,087,012,404,719,374,458,859,
632,400,114,751,210,960,861,723,050,481,914,767,341,174,600,052,262,218,450,
324,991,146,436,066,329,742,539,191,020,794,625,706,699,638,609,287,515,019,
512,571,791,455,093,014,217,167,190,142,052,567,515,176,847,309,768,327,255,
683,547,052,201,409,166,066,122,368,445,110,355,273,002,141,074,341,843,437,
037,526,604,210,888,290,079,218,745,077,378,387,106,730,155,995,064,548,508,
094,001,125,326,378,134,855,015,863,269,591,795,337,896,822,625,831,227,085,
372,424,882,074,761,288,113,734,263,474,648,392,817,780,872,349,567,354,271,
544,605,033,464,624,210,667,432,939,205,769,814,481,958,831,602,808,039,248,
947,334,093,583,374,163,732,381,352,850,649,228,654,430,941,431,604,387,483,
383,262,601,753,400,687,930,755,396,785,622,002,749,197,889,041,941,555,365,
320,015,712,477,531,969,259,415,700,433,969,739,691,002,238,494,622,182,879,
433,338,500,459,037,388,409,819,340,362,832,628,084,473,743,098,125,734,804,
923,797,921,694,302,245,493,109,883,194,860,860,867,342,705,751,274,708,333,
386,233,180,539,894,982,564,754,888,879,569,894,717,496,288,867,343,301,770,
160,893,936,306,572,861,969,139,400,099,530,090,866,816,694,565,770,131,196,
990,596,574,748,446,286,568,193,600,342,575,446,804,992,738,209,407,470,974,
842,326,673,870,376,211,595,985,058,970,337,876,245,327,316,867,715,741,038,
145,660,064,647,929,437,442,808,822,987,897,667,654,305,071,691,755,431,827,
219,084,097,070,108,097,117,299,259,395,022,069,471,395,835,490,902,215,584,
775,701,742,893,220,054,865,482,184,819,158,300,146,408,578,874,388,049,877,
946,571,142,729,171,780,354,847,092,160,567,687,585,340,902,434,604,531,518,
105,095,078,626,858,545,445,790,298,518,134,268,787,846,135,405,001,495,831,
666,639,289,937,636,943,104,924,171,452,957,589,422,139,783,578,071,773,168,
988,507,221,275,738,930,708,400,181,240,713,915,845,363,625,679,644,131,959,
572,928,808,235,026,956,377,403,157,684,372,442,237,950,882,719,949,124,837,
123,671,476,193,647,401,636,559,407,870,708,433,445,956,126,443,000,902,197,
632,380,561,333,370,379,672,922,488,533,038,551,083,282,041,637,793,716,784,
360,944,607,228,513,145,603,315,817,408,882,382,385,017,972,079,022,002,144,
539,111,471,003,842,645,611,979,538,374,376,375,158,406,721,791,703,430,230,
896,419,998,415,026,752,922,446,947,428,740,289,100,892,336,826,387,608,716,
120,579,167,346,462,377,102,588,468,179,954,198,554,724,405,058,475,915,507,
927,950,837,192,570,904,201,941,840,371,360,418,399,585,022,690,310,425,819,
666,815,148,320,905,580,236,529,450,346,645,621,661,723,703,936,933,898,972,
890,799,159,076,702,325,252,904,351,699,527,129,980,098,781,654,199,996,516,
163,938,351,289,780,646,396,236,182,149,169,005,339,609,577,765,596,074,029,
298,324,487,675,137,139,438,498,369,411,577,019,365,141,753,167,810,832,702,
968,202,598,863,167,986,579,357,105,379,262,928,248,728,330,958,515,011,913,
295,934,187,196,915,740,714,696,077,320,722,257,471,298,659,149,185,914,608,
619,517,890,890,363,523,831,936,230,704,661,909,628,070,526,646,720,259,364,
850,001,980,675,147,218,998,444,498,600,458,686,478,285,673,103,365,222,345,
275,192,862,226,826,999,895,232,125,675,150,242,364,672,226,848,416,515,495,
179,832,426,491,827,926,988,535,588,078,655,866,414,754,549,515,388,902,896,
104,176,722,377,536,062,967,014,181,460,803,421,891,219,105,714,728,413,183,
985,404,818,450,638,336,565,745,818,842,367,963,197,009,039,691,594,424,995,
554,294,430,204,022,115,445,763,220,063,444,062,237,412,208,426,491,709,387,
886,602,922,007,540,479,223,838,508,061,061,846,758,899,332,698,459,239,802,
468,264,752,124,056,799,511,256,406,151,642,617,878,247,667,127,339,293,389,
533,191,535,072,573,297,852,836,761,231,471,671,901,079,905,357,276,477,189,
538,196,822,547,818,027,706,991,000,927,090,440,291,240,553,005,943,765,873,
762,551,376,141,688,056,610,739,530,856,706,238,708,548,372,900,239,707,529,
136,492,824,995,582,336,507,600,422,868,809,172,744,846,013,138,458,413,482,
696,756,777,771,955,444,470,187,445,301,368,973,358,400,700,062,020,935,866,
543,430,990,239,286,346,027,472,282,746,429,720,658,757,465,316,215,046,673,
603,873,658,272,149,439,045,136,625,833,065,052,657,901,315,536,012,639,208,
060,342,809,706,065,780,755,765,006,919,242,935,037,068,346,956,065,181,823,
755,424,599,837,903,775,320,216,399,565,852,707,989,303,675,418,304,634,558,
555,205,070,648,027,439,897,649,050,919,798,671,334,970,888,885,690,668,906,
378,512,291,805,776,646,064,167,509,366,562,709,579,050,311,363,389,201,157,
789,380,053,643,945,330,584,743,272,761,747,120,639,943,775,444,399,366,898,
048,802,365,837,378,223,387,555,393,750,932,202,370,191,508,586,201,426,993,
067,808,476,840,296,315,751,845,891,722,622,255,921,504,760,831,618,748,006,
180,583,351,213,267,720,052,125,048,687,742,387,079,366,166,560,790,958,862,
356,673,008,046,505,019,546,197,096,357,014,580,548,030,300,889,233,530,112,
189,896,842,801,680,344,402,392,833,996,198,534,629,058,031,702,066,534,153,
744,648,628,017,582,249,652,408,984,800,935,875,603,810,327,735,498,028,113,
666,586,409,006,913,637,350,129,069,532,382,380,473,911,238,054,169,000,516,
813,027,158,766,345,359,628,813,398,928,072,961,840,689,016,835,852,316,546,
713,367,930,482,275,076,170,751,240,458,847,134,851,193,658,195,509,858,081,
376,916,454,834,441,528,864,934,107,765,147,158,552,252,397,244,778,661,115,
729,255,566,084,794,984,527,611,819,694,823,457,269,308,024,295,723,485,262,
671,116,309,344,873,134,937,373,644,274,706,395,121,246,929,842,592,663,605,
051,713,139,397,437,097,676,390,662,083,680,904,717,014,907,212,688,847,829,
692,445,415,252,793,720,545,786,563,252,365,368,078,315,100,134,617,000,745,
236,870,199,231,467,694,651,663,252,352,763,385,070,565,988,545,895,143,199,
607,628,968,483,350,799,141,066,366,570,008,844,464,294,098,098,580,629,840,
780,374,021,672,587,288,908,607,344,181,820,620,166,459,116,718,294,272,746,
015,839,067,807,273,155,431,264,830,763,181,754,721,667,100,478,038,209,467,
018,349,641,538,384,269,357,529,443,501,678,977,429,919,191,577,467,061,326,
560,511,966,550,495,340,966,317,866,166,432,651,666,510,417,374,496,145,665,
446,522,577,454,505,742,236,680,967,733,474,545,702,102,902,578,436,597,784,
763,420,427,668,009,551,704,836,133,483,944,781,138,455,273,456,482,961,444,
141,021,675,876,288,365,573,956,423,766,397,761,673,196,170,268,823,286,780,
280,149,276,859,048,945,018,046,188,515,366,510,842,630,743,978,808,712,758,
404,825,626,271,967,109,199,978,700,724,823,303,968,343,351,434,595,044,430,
418,365,128,749,386,115,910,656,699,168,237,918,124,195,409,163,767,485,848,
330,332,335,984,290,768,143,833,937,861,924,125,198,777,998,899,693,259,566,
682,586,499,021,340,352,816,265,451,105,979,821,691,942,596,238,806,135,576,
918,330,467,840,524,451,648,968,468,788,127,926,536,566,696,075,831,610,508,
993,240,306,993,296,041,059,903,958,318,578,243,188,296,777,235,973,950,088,
277,823,085,183,263,951,060,261,447,853,247,777,144,086,365,733,053,381,291,
476,628,763,246,221,276,786,848,906,015,112,055,225,173,842,620,899,385,316,
917,007,134,874,346,399,563,991,716,316,748,656,977,771,980,854,838,014,109,
530,629,308,355,989,252,060,590,473,859,429,433,131,427,949,319,308,553,615,
552,993,947,671,016,155,539,709,598,183,096,707,604,600,695,952,458,446,231,
934,137,879,152,239,026,367,199,015,827,923,717,240,185,450,809,578,895,922,
192,850,678,195,243,682,562,887,287,192,471,636,284,519,333,283,414,771,208,
648,797,522,621,217,757,963,502,504,195,758,830,515,147,970,934,260,761,038,
651,096,234,280,478,221,280,998,619,875,104,415,011,650,304,570,799,629,035,
476,472,038,791,085,631,663,032,313,411,993,514,869,249,877,545,160,289,403,
726,197,231,261,418,595,514,247,926,311,664,551,893,278,286,313,998,771,986,
800,712,234,685,044,290,833,666,465,076,389,569,237,858,461,719,193,896,240,
944,900,961,159,311,357,453,829,185,688,025,756,004,145,095,061,479,470,944,
416,969,136,477,072,736,091,146,218,196,956,809,621,564,136,886,034,142,443,
938,497,408,430,119,119,947,900,083,679,347,427,827,193,746,967,766,653,551,
688,821,264,010,711,222,097,944,234,968,866,941,023,778,045,020,885,139,106,
624,995,499,487,376,785,545,468,609,006,155,484,224,095,392,932,877,670,245,
721,079,656,968,398,884,542,515,132,576,926,108,115,955,353,012,025,234,591,
772,031,384,204,011,607,813,446,863,620,560,013,571,208,241,863,291,257,046,
118,366,615,565,005,805,838,504,120,312,066,280,398,966,007,222,225,071,889,
452,465,462,961,531,696,646,722,156,291,855,147,475,647,862,350,486,057,707,
640,357,557,618,554,826,625,124,291,423,636,983,093,425,490,515,778,500,459,
293,022,853,086,198,736,962,937,146,769,625,656,094,826,993,401,493,012,300,
255,642,549,265,459,082,271,136,047,126,905,274,848,494,297,822,692,200,408,
138,713,822,121,841,858,021,599,303,509,130,283,714,511,966,072,487,060,042,
829,682,334,106,450,677,326,714,813,492,305,764,456,831,703,247,708,047,155,
007,161,136,536,179,180,864,311,821,078,485,917,423,014,125,898,798,440,566,
478,331,389,334,032,718,061,291,823,040,527,368,220,875,425,618,612,578,789,
526,699,786,076,866,503,138,007,983,487,665,466,668,945,819,860,122,610,568,
828,637,734,623,567,801,795,308,810,022,549,674,342,019,360,560,608,854,984,
388,110,761,706,753,487,401,555,935,536,710,323,607,692,295,652,824,032,249,
175,310,337,081,694,918,380,967,482,194,076,782,885,045,252,026,423,756,406,
013,161,834,378,409,697,919,807,203,743,619,041,610,819,248,961,739,127,069,
237,243,727,347,242,785,598,091,294,822,141,456,371,374,800,406,349,097,242,
496,574,055,327,677,893,188,453,946,807,056,981,460,795,387,934,760,289,021,
011,926,355,032,927,009,827,177,133,591,010,299,551,323,400,255,931,461,948,
917,545,872,937,143,280,156,586,428,203,359,633,174,602,701,768,258,371,037,
049,215,802,994,864,575,762,480,099,754,623,010,352,762,264,597,412,988,995,
953,246,519,112,343,965,445,637,157,754,163,957,059,127,773,799,744,831,220,
262,493,158,126,469,513,917,639,698,291,508,101,720,904,926,007,167,336,784,
933,776,655,676,719,440,935,989,160,647,906,882,521,715,176,743,448,706,242,
723,025,373,767,746,093,855,785,890,076,297,280,533,214,974,884,839,664,542,
293,326,390,550,263,503,577,497,107,454,802,843,666,873,316,659,927,707,238,
827,038,364,565,107,059,326,171,020,828,597,130,886,150,571,915,168,973,690,
349,951,318,521,464,357,802,134,249,503,029,150,225,633,427,505,120,155,932,
602,807,066,611,659,863,128,167,598,743,202,976,875,851,208,531,901,334,510,
765,563,068,488,431,658,597,280,149,534,026,417,205,833,872,546,482,487,708,
835,515,556,989,687,428,753,196,920,775,448,356,487,708,373,564,369,679,484,
196,422,255,469,615,867,200,833,694,568,368,982,933,718,708,096,676,055,428,
603,598,031,906,300,458,572,035,608,879,620,218,839,922,647,972,835,455,843,
056,034,249,153,276,847,905,734,488,097,155,519,042,283,149,198,103,640,606,
262,185,808,085,676,325,148,239,348,068,734,581,292,697,190,655,768,622,993,
883,938,793,004,899,602,379,199,016,481,906,813,656,797,021,544,939,242,094,
923,310,864,134,432,720,122,154,478,016,454,099,140,460,208,612,468,823,956,
396,160,168,430,125,339,281,768,330,819,007,089,109,759,541,839,265,439,443,
688,635,854,925,496,006,878,897,235,967,856,520,580,621,741,011,240,941,568,
000,402,742,875,678,538,994,106,472,368,540,848,413,900,992,947,624,030,228,
791,931,068,908,202,287,879,455,383,368,607,100,304,864,884,307,042,115,630,
921,118,572,345,645,306,772,436,214,154,493,274,661,611,958,800,969,787,574,
321,160,654,723,748,979,054,843,698,634,731,470,616,279,574,001,732,491,423,
965,239,658,778,177,609,642,424,074,648,970,445,286,427,228,311,285,780,552,
328,469,569,694,960,140,503,751,128,227,811,159,232,760,472,022,368,502,923,
887,091,549,636,648,612,621,688,812,037,190,248,455,418,086,914,275,405,470,
882,493,389,068,076,448,246,692,123,781,699,975,455,570,880,804,007,037,026,
933,494,269,632,786,207,037,406,043,405,770,558,615,185,144,056,664,890,549,
895,121,938,909,024,530,756,347,963,258,503,979,914,549,312,782,683,815,417,
519,706,172,150,184,301,649,183,294,423,057,463,251,816,004,044,594,433,983,
170,851,689,401,088,749,627,313,295,033,350,755,379,166,871,611,406,177,598,
938,909,595,627,029,359,255,294,250,035,456,146,611,067,966,255,060,697,999,
499,214,312,429,183,658,266,377,119,604,650,629,709,410,541,335,818,330,729,
227,495,146,797,692,417,563,670,940,022,586,995,515,200,605,595,316,873,471,
057,866,332,943,951,896,415,935,629,424,168,395,643,908,568,327,529,326,540,
413,539,934,541,552,180,866,669,817,824,460,783,547,729,728,338,171,980,433,
000,851,170,425,504,788,196,701,878,337,186,225,969,365,318,818,971,723,995,
863,759,869,827,711,862,081,997,886,186,727,006,562,115,982,335,003,872,919,
853,685,555,256,102,044,660,281,342,208,034,511,759,412,946,063,198,249,794,
536,371,660,998,490,211,839,377,055,841,508,421,816,847,296,616,559,996,633,
343,575,255,044,999,309,864,786,964,527,187,586,624,082,653,884,096,725,196,
322,783,077,308,523,027,537,799,962,034,233,105,645,956,012,514,116,642,884,
242,171,790,633,190,890,420,231,986,790,520,999,386,598,258,169,891,879,850,
732,191,429,105,047,265,274,928,957,391,546,194,510,049,236,852,167,681,185,
162,965,297,323,730,037,324,306,629,132,427,532,842,630,568,353,881,328,103,
765,002,004,359,572,471,752,352,994,607,965,207,139,775,530,576,928,947,735,
845,201,663,213,078,606,759,488,514,781,725,382,229,886,013,556,376,375,205,
470,781,339,714,241,870,667,769,358,345,361,223,785,085,617,471,205,435,022,
008,878,391,403,088,651,676,160,854,775,432,196,825,800,399,865,316,271,850,
260,762,033,036,193,215,289,820,099,983,039,723,486,145,464,011,812,956,403,
927,548,025,098,616,131,490,584,152,263,792,760,038,946,875,348,028,830,209,
827,056,099,321,693,228,864,667,803,460,469,673,532,564,943,961,453,513,158,
613,168,125,481,867,370,667,578,411,203,051,733,618,852,216,524,666,885,669,
717,435,779,430,923,232,706,549,367,397,674,011,839,564,442,572,060,960,136,
744,950,700,965,581,313,900,278,234,462,395,893,189,197,522,669,378,388,799,
677,637,942,841,673,155,645,427,278,562,197,876,601,972,171,526,834,553,409,
781,541,265,013,921,056,980,823,386,990,761,500,417,212,653,152,951,594,824,
525,575,982,697,845,517,136,350,912,479,168,465,489,931,887,274,955,739,964,
112,266,344,685,645,485,460,827,159,946,165,944,493,280,857,781,385,295,352,
052,327,993,863,694,713,712,970,405,722,436,242,932,603,986,773,175,060,381,
598,595,750,121,684,618,839,011,845,295,018,326,867,848,711,554,152,692,571,
052,251,549,243,085,755,845,034,234,653,808,903,585,721,319,134,721,107,672,
204,338,538,433,843,070,334,147,096,838,866,875,931,534,774,603,135,387,484,
357,476,974,274,988,021,977,911,985,696,688,120,685,383,455,156,362,926,792,
965,058,766,946,813,537,839,636,825,042,195,016,386,939,050,225,470,918,031,
134,165,298,340,177,811,430,392,285,472,753,755,889,895,418,626,509,571,173,
525,913,616,644,056,894,319,980,748,817,034,220,802,594,989,539,922,898,996,
694,348,825,005,020,504,382,901,791,158,731,689,373,450,993,749,914,355,590,
441,687,451,129,424,600,955,695,888,367,828,826,405,754,235,214,021,909,991,
807,436,350,521,932,075,536,599,456,933,551,594,498,382,993,515,391,143,784,
410,848,985,812,215,995,636,496,286,085,082,573,499,890,368,031,498,543,641,
775,107,282,475,548,624,309,343,792,571,647,335,357,642,351,189,076,610,127,
642,391,851,853,819,201,372,482,563,363,002,693,490,046,623,707,626,204,715,
399,966,093,267,496,569,967,407,420,316,483,601,750,635,554,031,279,893,841,
225,968,397,720,245,754,134,859,977,007,051,251,740,762,052,599,599,072,514,
129,159,179,166,332,419,782,305,206,559,322,349,365,235,983,270,176,789,633,
673,740,080,475,960,656,302,633,503,110,498,046,639,202,406,488,925,374,673,
927,590,581,008,683,739,020,635,493,355,396,166,859,059,765,549,375,486,394,
057,169,794,505,635,908,903,322,136,726,641,253,157,962,925,225,026,998,101,
059,011,705,269,497,344,960,038,092,668,289,599,133,764,941,580,367,551,087,
753,716,313,649,929,556,264,714,558,024,871,277,171,257,370,622,314,381,242,
958,178,822,655,705,696,556,976,095,174,253,794,765,399,077,419,573,433,085,
926,114,717,572,083,744,478,984,958,855,900,717,935,267,260,034,507,874,814,
366,876,036,315,830,049,232,205,120,281,025,323,370,188,670,310,728,241,952,
895,971,977,864,295,107,358,587,227,430,303,878,345,630,553,589,405,947,948,
784,814,198,145,934,085,834,007,120,982,996,349,813,228,632,297,414,937,978,
451,030,484,839,998,653,314,451,397,271,533,290,817,658,143,368,546,596,542,
843,529,583,604,472,556,663,179,218,885,654,033,635,216,654,022,269,555,707,
545,365,920,074,065,598,487,870,156,840,953,766,975,845,380,618,895,363,526,
076,432,070,824,058,806,347,959,635,076,384,222,882,824,173,665,089,882,833,
565,433,361,186,478,528,406,124,839,709,212,868,125,980,998,157,388,951,856,
778,213,463,419,049,619,472,203,031,349,460,971,022,098,435,910,178,249,109,
312,628,397,128,062,664,408,246,244,507,264,627,640,201,145,384,359,348,125,
585,226,252,948,907,983,806,032,910,036,409,022,360,792,768,606,521,023,910,
248,383,198,195,374,715,829,400,327,834,429,816,774,482,201,911,089,921,278,
496,269,438,176,097,954,023,657,466,790,645,477,232,637,627,073,837,213,843,
113,435,168,010,243,115,576,273,639,564,180,762,172,762,115,612,602,063,158,
079,052,582,100,578,643,822,601,876,987,263,758,742,025,024,612,068,592,782,
276,887,460,650,401,733,310,063,766,763,621,020,230,896,014,830,387,245,234,
720,728,939,694,639,173,508,201,989,710,378,633,301,102,995,614,701,443,304,
723,375,755,915,842,246,590,754,666,418,907,983,566,341,366,329,885,816,429,
251,071,762,585,656,766,690,508,676,219,929,060,229,530,316,841,130,946,665,
573,356,297,140,697,770,375,078,886,516,202,519,500,966,125,377,515,496,911,
060,232,741,418,529,791,362,625,778,504,162,894,634,533,035,909,198,008,212,
062,845,736,638,689,019,180,208,470,310,817,761,709,410,136,124,029,864,729,
382,456,375,732,745,968,057,757,259,625,825,100,732,919,108,252,519,460,073,
926,788,198,663,614,913,412,611,228,242,577,149,471,566,663,891,741,686,522,
155,716,653,074,482,908,454,324,601,532,146,641,516,263,275,576,271,839,126,
208,578,997,152,284,298,281,774,091,456,690,174,118,308,819,922,395,771,673,
553,644,867,579,757,770,931,149,734,318,546,087,018,506,950,971,014,680,600,
341,275,852,217,582,270,594,786,053,256,735,095,578,260,371,772,415,678,987,
624,931,043,667,481,059,093,086,877,917,288,706,379,399,320,786,433,473,272,
917,248,118,412,922,179,671,529,979,049,830,214,730,576,178,124,111,811,105,
203,410,272,443,380,888,293,207,434,797,487,708,712,177,543,243,624,367,580,
541,524,773,161,516,887,480,823,198,467,438,116,218,949,711,351,847,119,888,
921,699,260,960,210,548,729,099,711,789,777,685,329,162,957,667,980,456,257,
121,477,221,607,494,607,587,230,984,955,904,115,858,930,966,198,698,585,228,
634,370,729,970,030,025,528,330,640,732,476,497,975,167,198,064,869,223,164,
985,669,733,659,193,235,568,732,336,029,502,275,217,778,740,050,234,898,614,
007,626,826,266,638,645,878,079,845,886,481,931,105,503,426,645,381,786,672,
822,066,501,401,550,734,647,845,523,779,643,433,095,518,979,199,088,705,460,
576,979,601,042,143,729,926,202,813,092,177,091,108,471,155,370,147,658,264,
726,255,068,134,345,282,303,972,976,452,207,955,265,329,683,096,657,348,551,
348,231,072,548,236,052,068,541,151,457,465,490,761,824,526,369,518,371,266,
290,930,505,795,300,071,662,708,331,970,647,949,832,946,682,734,530,530,698,
570,567,899,941,445,988,866,235,509,782,643,101,082,620,834,012,907,564,174,
853,067,782,180,966,994,447,918,251,598,403,820,805,550,884,804,780,498,695,
113,154,761,715,628,913,191,247,464,607,987,512,431,288,379,471,177,105,182,
223,594,685,815,690,798,305,097,918,968,289,297,434,420,209,653,994,849,044,
207,930,527,721,177,941,100,502,340,341,394,037,954,517,447,789,389,248,562,
032,790,728,618,132,655,080,215,196,464,211,162,186,083,146,353,004,845,423,
520,392,650,849,328,914,611,411,000,893,496,572,410,050,056,564,483,585,415,
888,019,549,999,597,171,392,422,264,336,318,334,802,135,338,444,908,912,598,
908,160,871,641,929,553,707,825,617,834,832,497,492,366,034,070,973,703,017,
546,197,914,272,080,607,550,193,026,107,816,845,726,914,193,564,952,060,506,
425,568,125,713,759,601,597,993,256,780,131,788,197,882,481,217,070,977,496,
786,105,477,095,003,240,083,170,213,233,868,699,190,105,416,556,078,002,895,
750,956,453,581,168,967,063,971,876,009,384,278,607,047,779,006,735,321,988,
171,314,292,755,877,961,312,648,856,865,293,227,240,709,874,202,684,414,818,
637,447,473,022,238,426,250,832,546,573,932,603,627,961,244,752,002,256,337,
172,115,843,462,865,702,537,678,338,943,849,046,869,764,187,335,325,958,663,
179,214,009,598,052,363,673,193,600,050,817,472,633,095,035,344,532,650,894,
237,760,725,304,936,640,151,145,866,449,461,962,062,130,273,557,057,006,564,
074,932,170,910,654,314,843,423,090,948,468,852,567,138,282,825,383,172,391,
444,816,689,640,889,572,644,826,768,541,193,919,737,455,996,274,477,388,375,
207,799,530,746,273,622,355,799,836,426,525,837,460,467,325,067,242,900,048,
503,370,726,397,251,321,677,454,347,052,898,751,354,526,403,899,689,802,708,
656,942,858,210,057,866,664,393,258,751,358,901,745,511,688,926,726,463,489,
130,807,100,653,940,678,149,695,628,477,784,445,071,346,944,720,500,677,705,
998,690,507,558,329,985,522,146,462,993,811,737,829,213,331,606,681,424,293,
033,767,035,200,044,886,972,628,643,705,744,751,607,319,519,939,660,692,758,
352,371,903,212,130,289,738,091,482,886,731,574,068,879,505,003,989,250,337,
421,600,879,126,521,606,984,863,384,080,006,360,635,588,203,927,350,215,246,
339,591,597,287,100,805,879,870,521,989,957,128,497,780,502,033,136,678,512,
039,082,015,300,135,794,182,495,766,492,956,954,282,058,567,635,531,344,353,
884,230,485,085,746,570,648,964,258,006,809,815,509,917,777,656,271,283,963,
028,846,196,932,943,157,297,163,617,543,386,855,685,689,115,484,081,385,112,
422,196,132,352,532,676,706,637,343,665,259,600,031,841,903,224,975,383,484,
170,406,790,582,076,574,926,595,103,124,738,075,384,010,797,694,668,988,806,
221,150,671,326,661,242,669,794,626,528,918,691,853,234,506,089,488,396,134,
790,435,321,199,067,310,102,881,774,417,656,725,660,306,590,479,770,312,206,
854,368,889,065,660,090,082,085,264,060,368,054,962,449,600,998,208,577,164,
928,379,023,102,654,413,072,494,620,158,344,259,272,482,387,475,800,062,300,
042,128,080,351,895,234,125,592,249,098,058,675,794,718,810,018,706,705,534,
514,187,578,415,987,883,909,343,010,608,078,046,514,721,965,922,091,379,116,
197,853,712,586,090,374,351,299,970,979,265,112,050,914,066,499,533,573,733,
376,029,489,389,424,450,749,958,641,640,262,928,387,661,756,787,923,721,151,
111,213,279,872,194,290,013,921,838,485,299,041,069,067,049,078,158,578,423,
960,268,523,881,669,959,612,755,531,908,510,972,542,179,203,763,886,220,873,
041,595,578,247,618,752,709,210,033,136,788,526,069,942,184,038,757,104,496,
865,329,319,327,969,157,976,877,863,198,610,435,334,774,059,973,979,999,674,
510,978,526,631,144,939,068,894,486,935,290,547,192,917,197,073,908,280,224,
995,978,721,713,851,503,333,956,017,539,988,791,336,263,027,895,370,770,310,
097,120,963,589,337,608,248,433,161,281,091,846,257,552,966,873,549,961,952,
417,060,672,278,177,632,224,451,748,782,587,948,122,097,891,673,097,004,653,
574,278,199,062,049,898,170,950,413,542,337,280,453,840,295,415,260,763,576,
444,106,687,950,999,960,870,641,393,938,478,544,499,667,147,673,665,842,638,
298,388,993,699,870,557,421,718,080,086,016,568,032,485,699,942,031,670,148,
019,376,609,786,994,101,146,824,943,751,459,240,117,970,659,977,011,473,387,
948,337,861,894,272,011,708,367,499,525,935,526,139,054,862,912,742,287,571,
126,457,321,303,106,097,942,884,873,926,547,692,850,661,183,736,392,587,199,
151,282,235,477,452,707,857,853,883,685,123,681,161,090,092,446,669,366,612,
298,688,131,254,263,798,821,288,297,851,827,862,163,309,676,072,010,482,743,
504,593,440,936,848,448,037,829,593,086,125,457,643,791,303,520,887,312,816,
125,296,069,186,741,552,816,425,337,982,102,409,578,483,977,923,004,237,533,
388,875,750,311,021,832,769,457,558,089,030,147,937,462,438,517,585,130,697,
608,850,656,593,108,419,967,862,594,964,085,898,298,935,804,810,205,751,226,
839,147,122,145,346,428,749,348,968,722,776,575,931,291,359,441,263,849,470,
238,897,307,096,448,419,351,939,563,172,194,622,207,977,245,196,046,542,260,
222,603,562,204,050,567,667,676,660,197,685,164,716,356,060,906,969,730,449,
096,330,458,999,705,481,953,458,113,783,535,552,985,722,165,119,187,753,771,
414,340,400,198,468,617,984,792,869,208,279,545,768,654,807,882,680,127,993,
218,859,648,208,294,156,269,527,905,886,260,821,814,623,803,223,598,654,632,
686,521,089,162,283,339,320,241,920,444,914,934,265,359,309,180,585,533,404,
893,938,629,196,931,988,111,340,439,905,788,525,536,837,871,090,005,387,980,
343,863,693,158,035,714,732,126,262,067,319,255,784,172,107,301,383,959,755,
497,940,086,858,954,840,811,592,765,651,119,910,214,505,376,610,524,916,419,
843,540,786,349,697,009,548,184,867,067,207,348,906,897,488,861,535,597,484,
322,853,661,156,790,061,538,729,949,859,101,842,227,004,994,257,894,378,011,
916,659,031,536,034,520,358,981,628,073,537,683,088,127,456,187,039,229,856,
365,553,556,104,432,547,623,606,530,154,270,694,944,653,962,794,167,982,233,
709,909,962,218,732,127,549,965,084,100,073,119,554,753,336,214,266,515,908,
058,202,162,433,750,307,415,429,340,490,031,947,654,901,466,606,996,677,398,
195,432,742,747,211,922,144,044,855,506,212,415,243,977,900,609,291,847,396,
281,965,080,427,621,526,826,033,597,204,549,234,285,152,751,815,425,054,596,
206,658,231,006,355,909,559,303,642,091,614,466,464,307,104,861,437,952,502,
982,961,201,287,555,022,455,064,031,117,050,616,784,539,489,519,344,101,714,
051,943,186,178,963,346,962,594,029,398,374,005,739,283,095,666,237,652,130,
158,042,748,540,064,443,466,539,684,006,961,336,478,950,450,132,521,933,748,
187,600,016,302,660,755,618,889,212,535,146,462,547,613,273,172,298,913,403,
751,919,951,699,687,365,768,575,454,211,692,844,791,360,710,541,689,599,256,
957,414,798,782,324,743,824,791,767,372,725,684,904,529,697,825,660,474,706,
856,664,704,391,579,447,754,489,957,967,959,729,629,945,270,113,816,276,617,
843,179,459,316,130,664,954,084,721,786,011,149,629,451,019,232,888,883,724,
073,595,219,324,127,663,768,052,059,685,764,813,741,891,145,888,687,363,353,
528,714,956,197,263,248,997,635,062,877,006,374,515,307,686,010,503,798,875,
599,538,128,651,988,385,235,559,661,999,896,265,813,933,358,540,065,991,019,
091,013,002,039,707,506,287,898,945,852,977,476,088,283,084,944,031,337,190,
969,056,439,902,051,358,438,153,228,750,427,189,013,524,492,618,379,593,520,
135,819,850,168,008,189,916,085,897,537,806,568,226,239,198,306,749,206,386,
122,373,127,621,192,408,208,003,254,127,868,874,501,186,901,879,943,279,948,
385,337,634,067,960,201,308,415,975,103,096,905,792,526,359,875,935,348,515,
491,098,261,346,668,784,807,167,584,707,189,732,833,855,218,363,549,339,740,
250,476,693,871,670,115,360,014,656,246,497,700,229,655,266,266,663,834,482,
709,963,029,476,165,307,620,825,955,355,095,696,828,548,760,502,433,813,259,
595,075,477,193,218,748,264,136,587,432,076,566,887,610,289,268,690,995,279,
067,333,673,566,929,427,971,683,894,366,052,630,290,344,420,031,863,012,855,
669,829,744,512,146,116,703,042,978,109,136,389,555,062,644,222,065,087,586,
222,541,012,753,368,860,230,079,138,168,331,841,456,267,899,286,924,918,156,
142,299,545,131,727,516,602,118,395,206,109,184,546,685,265,640,509,896,600,
975,852,348,801,248,008,086,091,423,983,173,366,051,930,855,802,717,506,625,
245,399,997,463,172,663,776,920,689,642,505,439,125,034,463,913,773,298,770,
645,385,530,314,307,361,149,768,479,996,169,063,474,968,550,842,318,949,673,
142,324,535,808,790,529,075,849,093,257,918,440,467,492,624,499,106,895,003,
082,526,080,865,658,320,369,305,385,428,711,927,511,303,011,570,048,379,468,
728,357,081,256,587,910,229,186,044,983,248,073,360,179,650,964,576,472,921,
658,593,846,629,844,895,204,766,667,396,630,742,437,417,349,920,820,940,417,
034,175,058,758,781,709,800,539,162,723,997,463,031,634,124,009,733,980,593,
969,468,190,620,675,288,589,691,440,729,450,452,302,162,387,605,316,275,450,
035,356,085,593,086,240,548,912,614,191,902,339,226,035,473,310,418,235,443,
388,245,816,592,961,644,961,598,446,293,366,055,517,614,962,886,685,505,483,
585,344,924,531,347,589,125,890,809,744,687,537,583,022,769,741,444,222,956,
774,841,171,717,506,982,787,420,229,889,596,260,316,238,244,693,751,165,127,
306,042,787,824,525,941,052,017,674,239,821,467,394,219,038,463,503,797,880,
404,423,466,484,011,345,528,824,444,814,245,032,947,435,824,506,836,487,295,
045,436,951,722,693,443,387,894,326,551,307,812,958,936,261,105,000,491,819,
186,264,738,346,566,817,967,933,399,072,152,716,450,897,199,231,023,110,739,
487,851,391,391,962,371,252,900,163,826,779,580,139,928,074,351,877,397,061,
188,832,936,603,243,977,770,086,610,889,368,455,026,577,816,353,338,581,670,
997,526,452,299,887,186,544,051,978,488,857,017,749,810,923,647,127,031,109,
987,216,663,389,946,143,574,466,062,738,016,793,496,826,151,262,602,318,977,
693,111,104,852,903,426,893,490,171,030,358,942,531,201,004,644,733,474,183,
278,561,151,574,738,523,111,802,948,431,946,547,556,317,709,530,525,076,038,
907,165,987,924,460,718,977,478,120,446,754,623,263,530,036,878,096,513,817,
885,380,009,111,104,790,870,629,440,049,134,188,558,254,790,108,918,082,442,
129,147,591,869,154,655,476,826,131,485,361,029,990,475,296,608,797,420,307,
723,782,568,150,863,596,585,565,018,829,320,610,827,469,530,744,160,704,831,
267,952,371,577,191,079,352,385,714,427,996,888,732,416,489,111,588,805,013,
171,563,291,789,045,322,946,683,780,712,324,187,556,564,123,380,676,894,790,
255,897,628,902,535,272,509,729,345,526,700,414,636,388,911,538,622,498,778,
297,843,767,453,739,871,461,119,283,657,683,023,447,498,051,677,254,579,679,
936,508,025,466,180,258,151,193,883,332,661,349,991,585,529,463,871,003,923,
234,019,771,918,149,529,603,404,710,951,435,451,272,126,680,909,910,470,920,
121,125,124,729,607,530,480,257,756,288,350,114,002,127,160,753,419,225,938,
861,448,807,383,366,337,081,085,563,851,552,378,113,203,557,320,618,907,355,
222,276,658,900,542,842,219,486,357,177,030,282,883,003,060,103,428,319,846,
467,916,567,238,790,409,939,113,470,468,689,934,960,022,321,278,537,860,121,
839,869,806,283,303,966,181,546,344,137,180,939,683,253,795,130,843,361,166,
339,016,546,201,662,530,421,173,266,047,443,620,392,389,879,106,105,856,874,
009,272,697,376,213,601,144,493,402,472,004,522,667,473,288,758,320,064,873,
009,361,810,612,502,732,532,283,458,535,457,697,700,039,353,905,814,682,614,
046,730,923,784,037,586,064,078,470,377,270,839,363,770,584,374,498,739,485,
837,962,602,313,184,054,234,098,372,579,585,875,635,165,825,005,015,620,718,
966,839,199,707,516,613,518,159,503,643,849,189,724,528,586,788,869,595,407,
550,787,191,043,990,909,567,181,721,591,348,464,951,190,714,866,528,319,765,
954,686,000,375,757,577,758,435,929,302,135,190,563,649,231,713,224,656,467,
425,249,244,314,720,748,779,687,624,826,541,144,214,749,925,413,393,126,247,
282,193,234,102,546,635,889,879,737,923,037,300,402,772,551,637,497,066,551,
997,402,008,548,193,505,988,033,335,520,525,061,135,339,205,972,472,525,244,
738,549,852,392,630,929,413,189,910,625,939,424,323,754,478,247,718,909,939,
409,171,556,071,936,523,427,503,050,005,974,592,122,402,327,218,028,649,535,
834,233,817,825,243,800,297,237,535,634,746,010,866,146,248,401,559,261,294,
619,800,415,064,883,275,750,214,608,122,943,645,572,002,187,799,426,555,415,
862,943,097,867,222,030,472,879,657,769,364,773,251,581,758,387,074,529,543,
806,211,331,594,024,910,710,031,920,576,323,122,505,795,285,311,755,933,630,
820,535,726,404,042,133,171,829,926,029,897,448,940,162,704,123,508,799,182,
078,861,889,496,009,300,589,702,285,133,643,410,509,741,279,394,258,286,662,
255,955,873,418,078,633,091,128,128,843,974,952,392,323,631,989,107,163,072,
498,412,141,338,074,913,672,528,856,862,678,036,370,788,201,671,754,702,709,
237,768,896,823,223,126,074,260,432,364,161,445,365,048,769,928,802,060,182,
344,127,183,909,846,050,407,387,792,801,185,075,213,232,614,995,966,412,362,
452,440,373,389,261,533,437,360,270,453,093,210,371,353,910,070,934,337,514,
049,738,891,944,518,441,856,096,910,486,696,562,190,225,469,807,152,946,617,
296,678,682,442,964,088,975,915,872,374,338,913,546,166,361,095,891,275,210,
770,696,019,749,492,155,842,521,473,070,287,666,691,330,009,825,572,642,563,
029,840,926,431,612,326,686,234,528,950,198,426,863,676,221,751,145,994,118,
211,437,741,489,780,004,760,647,579,576,564,981,377,702,063,316,692,732,406,
322,637,400,750,671,660,171,844,948,701,169,643,230,826,993,115,078,472,434,
509,166,880,918,639,192,266,097,577,790,708,001,556,851,777,246,731,921,912,
679,497,881,626,846,436,721,009,949,369,779,773,063,512,117,505,987,036,914,
845,304,447,569,542,829,870,078,480,921,709,523,475,683,034,749,136,430,200,
344,111,082,418,684,533,522,711,184,007,179,990,996,024,025,119,413,285,540,
297,406,066,331,061,857,809,572,694,535,888,442,168,260,263,918,537,454,543,
494,695,739,508,369,256,011,314,700,975,365,689,807,971,275,962,687,021,392,
993,777,612,367,185,225,740,873,689,420,849,526,390,168,063,053,880,047,813,
213,863,957,218,088,235,433,433,830,323,129,414,709,021,727,517,338,058,267,
453,444,153,008,969,493,079,664,021,017,750,255,601,887,988,340,665,697,949,
204,504,050,380,392,923,823,854,922,583,788,311,389,739,505,134,714,760,470,
931,700,387,887,036,432,609,422,724,537,795,052,975,793,550,863,100,599,990,
034,834,274,295,528,361,800,127,192,957,699,156,713,492,364,048,715,277,915,
289,995,991,269,543,639,437,714,143,021,226,950,541,696,805,266,391,970,115,
108,750,643,365,818,334,693,864,301,524,722,696,359,293,924,079,996,622,196,
610,193,056,885,866,033,265,082,854,879,970,919,260,069,010,281,872,752,648,
831,252,742,121,026,307,795,346,626,271,002,588,966,242,436,353,923,929,997,
027,191,219,105,832,087,002,763,244,362,865,097,351,106,936,401,482,304,473,
483,821,812,671,227,369,460,152,907,233,357,019,843,635,554,186,282,574,762,
096,737,412,244,070,518,609,839,036,131,033,549,773,707,345,599,987,192,203,
451,400,233,889,448,232,838,531,075,398,609,362,496,974,766,650,190,206,035,
350,961,453,259,376,319,937,277,571,710,606,728,999,881,789,770,516,997,816,
336,797,340,899,595,545,588,386,607,285,871,995,773,571,858,900,297,526,033,
177,909,147,722,486,676,397,996,870,279,062,922,350,322,371,428,042,595,430,
336,802,221,110,487,458,503,088,960,836,877,970,836,356,194,396,558,622,888,
800,136,817,625,383,230,059,811,447,404,622,893,376,343,099,642,771,882,370,
799,665,915,773,559,796,985,527,357,909,939,350,931,968,432,202,005,871,228,
687,909,632,332,645,280,077,299,592,282,081,665,001,938,211,640,276,895,580,
526,885,007,198,626,329,365,356,686,188,565,458,565,648,031,765,928,676,116,
179,627,763,346,233,121,053,320,433,665,218,798,343,517,232,557,327,009,389,
226,681,389,744,942,882,953,442,547,428,637,320,033,424,461,608,012,814,833,
645,839,516,363,568,331,847,117,586,285,722,145,317,313,776,058,969,975,206,
663,724,308,505,214,246,048,159,605,976,169,933,663,436,552,471,123,334,588,
633,073,149,797,180,115,338,225,835,772,397,169,106,184,034,277,841,394,339,
040,642,757,969,117,936,433,463,406,123,981,293,214,919,105,309,914,732,034,
686,586,591,194,070,097,861,733,380,802,954,836,065,158,106,978,466,292,684,
395,744,474,153,936,041,267,952,168,813,276,419,785,127,424,757,530,424,046,
891,825,516,980,699,795,547,791,404,493,097,779,814,073,321,391,065,875,239,
931,303,210,481,560,267,708,477,863,705,832,154,095,240,880,465,186,807,539,
715,688,976,611,762,603,687,359,846,941,631,173,237,666,210,572,092,249,919,
997,091,103,831,565,961,865,429,306,617,212,762,835,078,690,281,791,710,451,
589,259,444,676,278,240,718,815,446,933,374,215,021,098,634,752,442,237,459,
032,466,843,593,986,822,629,878,719,655,671,090,370,443,692,017,585,590,599,
029,846,919,919,451,754,124,586,697,338,387,746,223,437,895,577,958,287,653,
808,982,343,670,551,671,994,609,021,096,164,527,656,094,888,469,674,808,005,
043,446,403,224,012,193,184,345,344,245,101,396,870,602,485,523,778,574,906,
988,393,518,442,848,360,896,480,677,461,331,762,776,841,150,698,665,878,473,
895,454,985,545,429,145,630,075,243,647,384,346,293,227,782,009,481,003,637,
172,785,516,336,237,118,940,436,435,971,967,816,460,598,487,278,530,500,350,
941,899,026,758,498,459,799,381,714,533,738,703,825,456,339,275,692,690,919,
013,132,020,969,819,963,498,756,271,801,775,817,509,515,470,903,541,759,102,
994,660,075,580,733,490,729,525,223,429,929,501,640,276,299,045,353,650,660,
060,810,792,477,669,665,757,627,245,257,144,268,786,042,090,892,875,623,495,
152,691,546,942,023,636,500,846,016,589,704,919,861,966,369,587,084,154,884,
535,549,199,389,186,508,464,675,881,558,898,072,155,594,291,408,889,204,254,
934,863,859,351,895,060,423,781,474,711,163,335,932,159,634,222,024,653,638,
255,795,710,494,335,939,495,750,113,453,099,055,551,592,409,448,805,887,614,
120,055,319,491,401,593,988,799,359,669,699,656,632,130,279,720,426,185,786,
902,465,313,962,940,412,230,811,125,664,675,997,467,299,392,445,677,133,853,
163,286,754,066,551,851,148,496,079,974,223,171,294,201,448,865,705,286,731,
725,270,090,279,322,491,759,490,620,696,260,523,108,680,321,162,230,608,714,
205,769,580,300,032,287,586,914,598,900,591,811,404,399,721,766,385,167,336,
096,578,225,291,080,530,269,788,729,126,473,116,800,151,906,616,898,231,770,
780,049,097,062,854,892,216,128,392,853,445,422,161,498,438,915,041,880,466,
985,009,062,727,713,508,048,832,792,296,380,955,960,368,991,980,416,429,971,
332,774,372,373,496,300,915,180,784,737,571,716,911,492,208,551,420,399,600,
734,863,256,352,606,886,266,788,377,784,678,780,321,306,819,528,746,951,439,
713,600,717,762,205,584,305,245,201,907,457,825,860,040,550,302,202,158,039,
841,396,805,024,827,057,738,354,588,377,776,740,174,674,584,960,970,002,561,
622,558,731,827,463,366,761,120,030,425,939,238,431,809,095,689,728,449,175,
512,925,970,576,135,168,110,200,690,141,274,653,202,842,633,268,078,448,319,
225,534,639,829,649,001,502,296,671,192,908,618,133,113,248,633,365,229,777,
260,292,418,634,083,604,568,644,206,655,582,863,229,389,404,815,601,734,945,
331,418,294,404,742,074,013,374,981,377,687,054,292,529,178,517,216,501,864,
839,191,024,639,346,050,323,972,697,399,126,129,351,725,308,870,961,813,279,
752,546,289,799,513,007,226,403,080,047,340,413,158,017,139,797,751,730,373,
850,731,044,531,324,096,716,391,990,243,120,213,471,423,488,882,862,179,940,
678,465,927,462,320,742,478,391,032,704,697,043,992,992,526,416,449,699,396,
369,289,835,840,559,631,153,097,672,318,407,852,642,094,799,728,171,806,947,
006,187,798,238,454,933,338,685,106,601,113,451,867,549,322,252,701,496,209,
542,266,924,172,279,608,165,666,052,985,941,038,348,603,785,809,709,913,874,
088,524,570,681,504,012,237,816,449,736,047,286,446,654,856,049,841,161,555,
089,819,169,776,928,313,955,439,947,106,108,085,100,573,934,849,662,899,003,
394,365,548,515,027,481,163,230,390,606,190,681,067,867,747,863,002,166,428,
890,969,732,420,877,132,829,653,299,821,342,491,577,748,929,564,185,935,682,
916,393,107,192,999,833,338,480,414,290,250,276,768,226,690,997,859,901,199,
380,902,335,922,559,927,915,077,812,836,715,775,320,958,665,891,589,968,483,
203,697,975,665,422,076,254,332,269,338,172,272,098,960,102,381,497,125,411,
103,399,429,072,579,732,681,304,332,403,322,779,158,649,736,030,311,061,321,
432,515,441,801,642,096,842,974,330,411,418,616,130,095,934,326,922,812,345,
934,809,452,629,884,048,132,555,122,974,297,970,913,535,556,886,216,383,201,
549,242,832,254,247,363,516,792,369,633,198,869,276,846,430,621,443,522,675,
704,746,620,469,038,050,674,038,787,953,262,277,235,939,931,716,779,825,786,
104,980,401,318,676,237,232,552,460,921,505,712,160,996,952,456,619,491,376,
395,479,154,480,016,382,254,941,072,724,181,330,784,241,665,031,736,451,856,
723,136,075,636,311,073,531,319,606,807,309,635,107,918,438,444,257,461,062,
760,661,606,139,970,455,471,578,720,359,988,638,777,904,326,361,221,510,769,
970,346,765,246,220,587,999,890,774,504,656,090,176,896,236,150,547,696,429,
744,633,713,718,092,825,273,255,751,905,566,726,796,918,384,269,318,302,732,
035,402,670,639,192,829,180,489,194,925,673,881,230,948,153,153,050,098,657,
649,633,905,007,251,149,981,478,637,430,082,395,020,703,637,528,947,673,958,
730,881,090,978,752,002,594,078,925,878,753,473,270,432,708,746,940,404,740,
630,346,497,154,560,724,551,739,187,202,527,931,061,532,791,956,801,742,039,
485,977,612,455,047,122,301,573,059,104,457,646,742,919,801,660,661,238,780,
010,950,399,966,244,068,444,661,640,285,258,102,324,500,617,836,594,309,926,
827,331,411,344,985,409,836,651,375,704,139,627,082,029,582,093,777,061,074,
636,391,051,044,795,548,329,217,256,438,858,256,004,978,972,496,299,009,101,
918,954,241,027,595,918,921,169,314,483,695,777,798,551,302,539,630,644,824,
331,896,262,293,542,146,866,121,829,561,726,678,772,095,237,213,358,440,986,
490,091,818,538,595,479,799,639,755,500,311,580,547,156,813,522,217,342,804,
877,724,277,163,894,945,979,873,791,799,060,512,731,627,103,677,637,305,725,
708,230,981,574,423,709,835,978,534,137,027,157,251,024,244,549,821,819,266,
259,102,325,335,013,387,813,313,358,099,754,023,972,639,155,281,511,493,024,
779,812,563,051,760,404,542,619,386,832,214,375,296,723,999,053,627,627,687,
818,582,743,223,557,183,160,211,291,298,155,468,147,737,715,523,489,619,348,
053,731,243,189,464,310,000,952,339,769,684,744,523,463,829,489,927,144,813,
949,772,918,361,354,937,595,285,826,331,221,152,570,939,113,889,903,744,259,
545,509,987,416,978,314,864,414,505,376,027,204,758,634,831,981,541,095,117,
294,950,718,314,707,182,610,298,549,733,978,718,422,248,672,466,650,946,273,
837,859,798,595,492,660,427,907,771,166,217,103,573,598,200,237,068,600,346,
314,039,333,755,567,932,504,356,248,350,704,634,117,197,644,962,976,499,075,
954,330,429,943,174,619,480,499,264,233,354,410,218,473,619,366,501,459,353,
033,443,267,758,804,437,242,313,636,157,649,804,687,935,695,877,775,922,172,
311,688,102,631,328,084,065,204,500,799,685,924,716,001,770,245,183,778,835,
900,725,718,186,357,611,530,401,421,653,947,375,689,382,466,187,577,125,872,
351,538,020,400,162,133,538,626,161,160,204,786,777,724,385,376,573,778,374,
544,388,927,547,908,039,084,315,212,480,182,430,614,261,717,165,782,552,987,
901,452,685,252,555,400,052,273,945,941,330,051,003,936,630,195,865,337,942,
334,002,587,135,167,899,821,594,410,125,912,509,045,094,149,649,545,473,165,
708,482,238,339,087,758,593,144,969,141,594,347,315,785,630,984,768,522,892,
135,989,256,851,639,755,149,350,717,671,903,469,217,935,384,718,545,134,364,
641,340,800,566,486,387,342,252,535,067,242,031,441,048,029,258,735,742,116,
536,671,238,447,981,064,219,615,604,099,031,754,085,391,290,349,104,667,382,
109,268,316,749,122,512,221,632,406,421,309,775,282,461,215,173,760,281,221,
752,280,210,292,959,087,593,178,395,338,018,394,548,031,115,528,372,480,730,
796,468,063,987,145,119,699,745,873,691,445,511,008,195,284,533,105,388,306,
935,746,788,475,541,503,253,224,412,205,727,023,903,122,471,027,081,568,717,
763,096,769,963,605,748,731,560,038,385,468,912,545,145,140,347,527,723,833,
266,690,099,913,300,236,728,090,332,632,791,083,428,926,579,624,477,718,034,
018,546,209,663,043,215,158,086,871,567,312,857,696,375,308,868,247,597,271,
879,896,031,921,872,647,469,337,741,460,223,990,391,278,796,211,766,064,756,
291,998,364,687,491,550,834,734,846,591,136,127,229,773,516,236,213,788,517,
638,763,618,271,386,960,421,709,624,180,540,626,195,138,469,427,409,543,471,
264,860,615,066,619,244,220,187,711,492,015,694,085,143,623,258,300,484,783,
571,530,084,556,137,587,401,330,718,034,379,692,357,039,857,799,200,662,811,
279,229,565,463,552,571,268,457,980,113,620,481,463,979,748,110,223,382,738,
515,571,487,090,080,567,676,970,814,140,398,762,236,407,577,026,484,850,776,
416,741,322,090,728,239,303,627,591,949,376,925,712,904,178,526,969,822,762,
702,261,231,332,062,831,558,488,665,098,401,020,877,324,216,069,086,900,849,
376,555,944,658,452,843,603,898,839,223,495,594,484,210,264,112,391,651,790,
950,792,091,983,240,237,334,892,329,072,957,824,892,518,857,974,598,498,730,
346,915,049,667,543,799,667,981,982,933,406,446,729,615,584,486,066,031,291,
627,960,831,705,442,145,112,377,121,766,250,255,012,927,199,618,509,415,110,
004,854,861,891,619,451,000,726,593,265,028,332,084,912,338,816,641,829,952,
497,663,593,625,002,754,029,262,051,395,823,555,022,883,837,645,456,707,500,
380,734,286,428,648,008,513,907,225,883,402,070,906,479,520,964,809,990,836,
014,886,378,677,363,660,065,117,873,837,185,959,525,877,019,982,881,424,966,
932,635,070,609,193,719,722,095,272,457,478,844,020,394,807,173,798,950,702,
753,899,354,193,263,349,921,667,353,231,593,977,247,003,178,113,338,401,416,
584,468,858,917,741,850,860,127,615,816,990,899,197,622,036,424,227,500,738,
723,127,653,018,624,845,858,728,990,455,268,285,680,300,640,899,992,584,277,
586,494,360,818,126,622,088,266,085,329,803,572,626,997,975,590,056,643,072,
825,224,096,168,982,155,909,676,941,868,393,209,454,047,367,394,685,728,725,
587,404,228,221,048,771,402,313,664,969,652,967,573,741,508,525,633,120,369,
317,515,352,519,493,498,186,150,098,376,896,671,862,735,889,974,246,461,037,
632,007,410,417,509,004,064,632,161,198,938,131,419,110,313,478,794,720,958,
674,730,704,885,593,465,732,829,195,660,402,799,898,951,303,251,463,614,527,
384,235,294,479,335,784,796,229,129,206,878,091,325,618,182,737,942,004,433,
877,028,592,093,863,290,849,487,473,001,828,457,842,756,822,351,401,926,560,
759,260,976,747,117,696,653,654,507,621,087,098,204,423,458,758,046,770,876,
450,466,828,858,921,235,617,752,639,160,704,650,207,735,155,204,845,390,924,
402,837,574,323,877,826,367,071,696,905,178,192,967,910,662,407,571,267,453,
769,174,336,678,845,538,159,879,125,370,937,550,784,948,553,462,817,053,677,
633,982,733,402,588,374,593,693,111,172,248,409,223,817,362,759,252,775,036,
752,558,234,998,413,198,449,025,830,081,709,839,594,883,951,816,382,393,364,
401,188,212,486,860,257,455,159,781,488,450,926,740,817,785,437,861,184,466,
248,773,414,831,861,827,043,510,935,485,889,854,781,254,808,952,636,928,519,
139,093,334,927,237,458,235,439,228,233,178,860,879,899,571,070,014,388,659,
277,320,759,584,422,771,878,945,237,392,989,520,937,202,488,980,820,210,018,
255,918,570,593,307,564,467,483,291,402,847,239,479,040,364,053,815,782,810,
011,276,467,005,966,627,316,633,282,182,413,282,696,596,768,741,342,212,623,
626,758,567,912,124,108,851,915,925,799,771,140,201,840,334,730,657,361,125,
795,849,784,293,951,609,876,577,924,231,221,281,293,278,874,246,424,684,970,
716,488,215,550,811,560,188,273,822,985,069,461,393,933,965,512,262,854,249,
090,780,446,345,679,737,419,188,136,185,385,244,503,606,304,845,789,771,344,
781,005,016,403,199,673,324,987,702,756,577,485,681,201,498,242,902,679,821,
122,212,992,814,842,986,703,330,654,548,915,772,308,778,882,520,673,400,157,
137,584,320,499,814,534,696,086,646,495,164,996,641,008,826,143,016,641,470,
350,182,588,022,490,834,962,849,669,841,816,506,382,328,363,191,785,552,572,
713,660,544,041,626,442,954,607,842,877,289,959,523,651,175,777,007,044,916,
059,885,761,516,379,446,314,976,318,539,521,034,818,480,121,090,973,559,374,
251,698,896,262,079,792,908,719,341,235,837,118,259,514,203,835,387,162,980,
005,777,134,791,884,612,931,377,542,547,141,048,026,167,739,700,788,329,067,
486,257,776,445,387,003,797,747,747,949,532,107,571,183,297,291,697,021,607,
761,239,377,385,602,766,271,314,237,799,648,589,663,054,732,910,458,880,532,
791,876,298,495,904,407,788,197,602,677,899,527,862,498,404,809,890,603,717,
923,428,097,700,848,232,744,763,599,918,724,686,530,303,602,425,416,139,827,
487,246,978,434,028,191,854,194,680,626,615,184,718,939,497,309,669,960,578,
285,968,215,450,506,022,250,878,192,861,110,135,149,677,115,872,925,979,749,
319,285,896,398,000,670,911,682,070,038,261,342,182,947,014,995,414,885,617,
804,215,834,519,737,585,561,075,837,811,746,267,600,529,906,911,137,063,514,
542,427,948,425,009,464,262,279,173,061,837,673,961,199,778,407,826,610,946,
277,422,052,126,888,237,283,235,122,383,629,000,416,288,442,994,094,186,202,
957,836,963,394,190,839,406,393,354,091,563,902,476,763,953,495,097,628,797,
497,988,456,454,082,766,594,122,540,600,094,498,920,466,661,364,877,995,421,
652,251,528,052,477,854,707,682,126,249,812,673,172,947,201,930,821,246,844,
707,744,688,483,684,128,131,023,358,242,709,536,179,953,847,284,012,831,819,
502,391,512,639,606,702,736,303,541,219,272,136,106,776,070,804,514,679,269,
805,696,045,081,619,025,097,765,799,925,812,683,164,526,791,085,266,454,998,
457,968,995,828,547,565,523,568,851,153,800,344,140,969,792,074,326,410,410,
990,675,931,761,088,683,163,587,550,687,529,726,702,662,032,556,702,124,166,
924,956,712,935,506,215,588,879,391,695,527,319,522,913,045,157,142,325,236,
503,321,519,199,768,247,467,669,236,196,445,588,755,012,602,651,929,477,990,
779,353,147,610,116,006,065,225,324,303,674,970,117,059,023,939,609,556,347,
173,531,067,404,070,475,034,713,582,879,371,566,235,650,318,547,320,446,869,
975,922,880,423,829,011,364,359,780,728,910,130,750,997,057,447,195,868,546,
350,155,239,062,135,397,208,142,664,801,052,857,646,545,140,408,134,950,162,
391,418,135,554,801,644,731,816,213,985,127,393,825,965,552,066,193,304,976,
964,055,806,835,178,384,647,832,255,377,785,516,574,270,141,644,367,022,818,
874,374,946,383,710,954,983,041,571,898,232,392,584,993,085,667,103,170,905,
374,857,741,333,593,024,785,123,737,446,774,459,493,951,120,689,514,850,681,
079,297,777,224,432,443,840,557,046,082,627,648,182,747,489,786,993,184,713,
674,432,191,700,374,396,467,134,213,790,209,605,551,812,222,366,529,725,274,
600,056,595,047,339,625,421,361,422,135,082,830,342,882,881,499,758,727,358,
965,392,110,005,139,646,333,988,011,920,162,119,661,818,243,364,726,721,076,
877,732,032,269,542,022,495,463,941,940,998,775,051,997,643,892,011,165,799,
889,278,311,880,885,710,408,890,583,947,649,357,855,216,577,291,424,722,086,
255,822,164,940,840,842,478,485,050,698,091,897,821,513,073,204,831,137,619,
427,708,648,568,315,847,129,197,793,709,881,508,849,708,248,209,785,610,257,
823,570,849,862,907,326,866,211,567,212,684,049,706,360,282,828,360,079,284,
911,498,385,798,082,649,897,791,565,348,953,547,505,883,251,892,981,836,120,
535,902,001,620,237,487,142,555,802,051,098,481,675,666,307,585,455,782,274,
547,321,762,639,879,151,465,909,963,055,024,417,300,309,818,277,640,796,301,
542,715,492,540,690,162,721,558,864,139,288,731,638,892,519,209,552,614,233,
845,308,070,022,122,713,248,987,049,390,877,255,548,676,812,555,863,527,594,
617,348,577,468,407,873,127,356,105,229,182,058,697,154,443,398,262,380,763,
880,527,713,797,574,285,742,254,777,461,538,337,518,271,090,479,948,625,787,
954,581,678,615,307,744,773,215,077,473,280,905,805,840,682,316,472,356,973,
118,702,288,116,405,366,405,163,940,114,534,296,621,529,976,207,043,172,938,
105,393,777,706,923,140,252,061,357,645,142,923,158,431,863,781,347,733,965,
023,359,815,909,352,050,902,531,932,297,105,910,275,975,725,606,710,046,244,
785,083,160,077,529,847,954,729,375,115,291,988,543,005,325,798,296,861,912,
967,103,528,927,305,072,795,308,217,759,567,513,068,686,130,499,433,118,631,
393,297,710,780,577,570,581,699,365,377,984,721,598,818,341,549,094,462,229,
643,086,013,438,563,158,689,638,483,255,582,089,131,678,951,123,549,556,808,
202,702,170,890,574,739,997,310,017,841,296,672,873,370,445,660,667,131,851,
085,440,332,043,795,855,689,169,055,742,048,978,278,360,522,213,886,365,992,
934,395,044,473,624,016,323,598,417,045,031,432,992,804,370,027,702,924,988,
482,904,796,185,034,176,344,510,976,227,618,512,812,599,614,254,453,604,531,
660,645,312,426,315,985,111,628,803,885,909,214,204,357,616,526,125,473,502,
824,611,964,360,029,027,434,057,628,520,137,650,103,913,502,480,734,384,720,
459,498,679,545,534,037,874,349,958,131,836,835,851,383,216,761,288,484,668,
527,312,367,325,335,717,711,532,448,409,751,806,699,781,527,383,118,126,872,
893,481,200,397,499,462,499,535,138,780,626,896,437,384,742,805,848,517,290,
139,529,394,931,212,609,704,516,232,927,123,316,376,387,801,166,477,277,609,
973,731,806,907,100,933,056,179,633,244,968,407,275,426,886,611,072,562,292,
691,846,535,555,464,007,220,744,543,586,101,442,069,565,719,392,511,365,141,
989,599,566,600,811,495,213,732,124,686,777,418,293,736,483,887,822,454,108,
407,842,694,689,591,477,397,218,238,165,938,574,540,080,382,063,573,972,833,
991,695,223,391,706,324,196,433,293,186,722,017,588,337,581,533,228,929,530,
177,939,922,693,125,491,686,039,825,194,947,436,947,198,014,402,171,285,120,
228,880,810,473,075,922,187,211,473,227,294,706,557,622,199,899,966,941,298,
700,154,002,122,534,486,396,119,612,826,824,201,393,542,348,772,461,057,106,
692,265,545,387,961,320,522,417,372,776,832,644,153,047,479,428,333,522,006,
583,400,423,289,285,972,814,384,295,830,986,918,148,880,513,525,354,742,475,
440,657,226,863,301,905,534,017,409,364,618,833,447,854,259,609,314,491,496,
316,960,462,361,028,138,319,518,024,105,597,890,762,435,992,181,960,684,814,
037,871,242,791,649,866,649,751,782,476,859,333,356,008,266,699,239,473,422,
497,981,866,458,910,417,308,398,803,916,773,557,419,922,483,728,256,135,946,
325,011,281,133,583,575,182,809,794,340,430,193,589,551,991,450,594,399,586,
536,795,294,928,220,999,672,388,787,074,400,341,400,657,688,679,259,577,657,
646,953,430,887,089,675,922,337,634,481,876,042,680,300,596,443,011,041,821,
217,379,984,403,043,502,049,701,787,121,101,764,959,937,835,235,685,480,751,
079,177,319,408,620,686,717,212,564,040,382,687,002,127,308,706,547,456,818,
422,002,083,654,210,183,095,336,067,163,323,459,993,988,621,716,959,388,169,
126,921,805,464,265,237,891,053,371,812,526,854,442,750,940,099,103,836,335,
976,935,944,221,430,939,120,866,755,006,336,054,464,171,746,940,880,952,178,
944,840,619,518,954,475,150,803,952,401,895,709,555,080,940,053,161,516,317,
453,582,206,682,278,725,488,851,746,203,520,146,015,711,232,354,257,311,424,
021,957,826,180,277,433,266,722,824,925,903,464,670,689,968,719,140,906,349,
324,821,017,528,091,272,150,431,311,175,146,854,168,235,463,438,515,067,663,
536,634,983,433,823,179,643,876,310,846,683,712,609,736,759,244,352,811,824,
896,684,178,856,568,184,040,899,657,471,197,983,737,549,273,552,599,834,259,
563,141,297,670,293,828,448,888,947,695,155,378,164,316,569,734,369,436,548,
081,956,024,210,357,817,099,278,808,366,083,389,541,768,504,658,175,757,360,
607,174,902,603,951,299,398,031,652,943,378,788,469,690,342,885,003,979,379,
906,891,452,712,180,929,571,562,737,616,717,502,730,070,658,248,368,621,731,
548,456,866,672,648,178,596,656,241,665,021,998,882,491,520,873,276,825,871,
089,046,174,481,803,072,813,135,093,016,018,656,675,077,248,090,067,726,678,
887,931,609,178,223,149,182,585,852,226,710,610,873,518,586,988,886,220,435,
775,226,855,158,155,600,875,585,600,060,701,723,638,213,447,681,747,228,919,
501,044,327,302,004,129,079,236,425,192,448,140,052,730,311,401,856,368,727,
902,385,616,919,457,401,440,257,395,364,369,099,934,538,105,759,646,887,580,
602,372,513,107,902,120,194,221,800,922,301,080,532,400,499,986,650,182,643,
494,453,352,574,922,942,983,733,710,275,869,271,445,255,708,237,018,611,803,
593,220,111,138,555,492,009,069,352,982,768,800,702,524,416,339,064,936,104,
829,376,426,687,096,425,363,445,667,064,729,276,640,416,800,795,877,219,849,
221,484,234,492,116,669,797,754,036,533,036,003,711,711,009,964,879,838,392,
446,321,472,025,359,910,654,703,424,513,941,886,399,612,933,960,163,659,337,
512,284,285,724,319,062,637,103,054,174,105,295,736,094,427,352,856,106,821,
764,341,018,047,598,546,775,579,626,626,932,936,308,678,807,546,181,209,235,
719,790,983,608,389,373,243,064,998,428,200,478,658,976,380,926,293,591,790,
461,201,120,501,836,032,271,257,852,677,370,591,992,089,035,024,294,995,120,
304,820,002,421,182,412,995,414,341,047,299,199,851,198,543,735,525,387,116,
593,322,545,043,035,833,865,281,410,370,192,484,155,463,822,427,904,937,807,
147,887,105,955,836,698,717,801,310,764,022,742,603,025,357,678,462,375,748,
268,042,331,561,440,571,081,274,291,428,164,735,915,174,893,463,516,902,437,
664,625,183,684,123,825,681,698,121,946,659,955,670,893,134,480,659,443,604,
419,307,521,685,577,174,252,629,874,326,195,377,742,947,804,811,870,928,101,
446,517,018,117,832,251,219,863,625,111,711,078,135,744,762,294,099,020,705,
828,355,488,547,074,759,716,168,667,705,763,063,114,797,198,129,958,904,850,
948,463,440,129,181,779,902,612,114,154,678,397,678,180,433,807,512,698,469,
587,416,069,224,714,234,248,751,017,111,172,738,512,687,040,936,034,501,757,
176,144,738,586,660,817,481,138,510,036,612,657,998,431,219,528,306,263,469,
108,025,830,946,801,288,951,722,334,880,196,988,920,976,523,631,673,395,520,
407,986,400,095,622,698,236,598,515,469,242,754,937,445,647,854,870,080,079,
575,331,301,439,448,654,516,332,601,121,543,033,409,530,140,700,231,313,482,
501,556,505,519,218,017,730,610,153,420,225,566,071,558,564,624,840,928,045,
908,958,306,485,486,538,793,991,619,265,775,657,452,560,466,903,394,840,122,
571,409,985,571,837,903,467,155,058,415,381,228,151,278,188,169,257,021,717,
359,573,948,280,118,750,194,917,743,267,331,334,428,746,921,966,871,370,323,
100,617,223,182,634,987,544,331,184,029,965,896,788,199,937,988,497,644,581,
374,483,918,105,572,422,277,840,471,883,425,102,968,073,072,199,562,814,125,
551,214,052,725,042,020,161,068,822,682,149,986,252,372,928,649,270,349,072,
883,915,986,974,832,958,774,194,262,155,358,854,355,312,106,575,478,199,675,
103,329,245,350,401,019,639,458,126,535,505,897,931,585,242,387,613,525,600,
805,115,065,693,259,419,708,496,116,141,335,635,078,394,949,135,043,182,923,
605,876,502,291,876,138,808,282,369,189,417,956,283,794,298,937,828,992,200,
261,238,705,124,552,844,891,956,442,791,288,804,170,176,304,518,782,347,989,
439,868,096,084,937,199,070,094,286,075,135,895,560,370,794,318,992,256,576,
572,590,886,181,842,399,583,629,900,501,577,034,938,486,275,177,795,319,084,
406,656,038,964,506,809,855,597,262,630,405,918,500,751,312,008,714,768,783,
432,662,987,094,850,210,264,078,720,457,258,513,013,736,582,772,381,399,264,
966,310,538,991,545,757,185,233,469,057,284,310,466,003,146,473,729,500,872,
637,119,363,677,566,147,646,272,617,927,641,905,567,532,570,798,229,776,432,
016,586,682,080,245,180,117,167,119,198,056,408,324,599,292,001,147,714,541,
183,705,853,571,677,252,065,915,345,623,725,013,845,962,493,154,598,294,705,
538,178,952,301,518,075,184,440,482,351,098,363,072,073,546,888,084,608,550,
366,402,938,157,417,410,294,896,765,303,248,599,282,612,156,061,091,217,203,
093,720,667,280,037,185,908,154,892,556,530,823,476,469,624,577,569,020,149,
007,151,561,534,532,673,520,784,816,502,426,369,582,733,376,694,806,228,130,
027,096,682,420,398,499,064,594,030,677,640,193,394,557,775,057,006,541,460,
661,994,944,589,877,599,249,710,208,148,176,024,334,178,458,607,676,103,542,
932,045,254,248,437,164,907,905,386,266,535,027,439,407,414,138,178,349,500,
213,146,124,722,973,562,744,640,834,393,533,397,552,052,351,590,155,151,102,
817,211,122,501,665,290,494,333,744,842,524,286,389,843,281,113,087,415,942,
772,641,958,078,477,789,258,226,075,646,315,841,401,570,633,593,534,199,337,
895,025,347,445,606,425,677,590,234,532,248,643,585,629,670,638,850,859,192,
081,211,531,468,345,776,394,450,766,726,696,666,455,776,987,905,651,708,889,
869,373,415,846,782,338,342,261,368,170,434,390,229,041,987,616,774,332,588,
383,368,464,485,382,112,948,086,195,333,783,025,660,250,284,437,525,426,645,
901,469,390,570,547,158,938,682,111,807,016,084,023,859,206,607,082,906,836,
485,776,259,157,624,085,934,167,079,811,339,571,148,769,477,766,895,868,085,
569,436,849,913,902,899,921,264,793,291,403,312,085,098,203,825,639,849,167,
676,905,436,994,664,690,713,947,824,464,352,936,885,924,801,697,475,964,274,
154,345,806,819,125,517,308,825,264,284,639,297,024,145,354,630,007,262,204,
927,760,542,557,563,296,565,662,493,226,227,985,669,487,615,995,591,560,504,
167,842,029,486,956,600,417,934,123,484,064,908,512,041,684,874,682,321,757,
882,596,701,982,906,379,053,340,952,205,865,010,318,397,709,592,789,776,661,
568,404,176,061,258,143,875,087,998,586,319,935,556,664,636,528,560,691,460,
399,726,765,619,969,615,362,843,151,318,664,226,940,411,981,223,813,359,290,
258,175,781,024,048,729,328,131,200,379,618,681,437,077,154,156,923,139,817,
248,774,934,479,457,596,873,917,425,638,464,921,885,342,310,368,231,420,772,
496,804,928,865,115,429,945,562,643,702,060,415,139,324,386,349,108,318,751,
080,747,833,071,345,537,033,998,775,818,600,932,803,395,178,090,186,772,182,
241,158,423,693,868,542,308,374,201,821,017,012,608,086,478,160,039,496,174,
150,970,603,400,268,839,340,544,035,408,981,029,131,535,871,187,370,354,941,
394,879,866,992,514,315,086,601,788,329,865,146,659,608,459,657,500,924,510,
263,194,103,572,300,233,969,971,842,663,770,962,909,475,267,560,273,917,558,
613,772,258,828,718,938,514,276,297,520,020,587,876,347,655,413,539,581,637,
359,726,034,045,144,186,441,172,356,616,776,351,432,199,809,818,223,433,053,
681,698,588,900,345,966,664,692,050,362,624,121,083,041,696,578,945,823,184,
570,186,718,722,956,030,402,917,043,234,477,733,702,650,773,474,571,221,393,
688,652,413,738,517,624,694,180,563,714,805,580,866,444,064,369,118,413,718,
283,465,328,296,569,857,761,529,330,163,235,295,744,809,476,943,192,694,112,
532,063,956,818,295,934,535,048,338,604,913,724,316,113,805,141,238,509,657,
525,561,917,150,717,060,842,902,326,830,824,147,446,144,758,922,164,770,668,
369,990,682,016,117,557,512,009,452,144,813,575,478,735,711,064,032,173,413,
954,781,331,768,697,069,680,577,543,040,854,422,286,026,921,648,909,053,643,
835,945,005,521,881,338,324,095,160,385,360,473,140,855,293,272,157,508,592,
402,433,805,632,124,857,372,416,881,114,394,883,771,034,955,251,693,479,552,
600,752,298,155,120,462,106,422,540,094,717,308,238,421,910,541,059,163,436,
809,374,262,201,521,490,307,698,037,424,385,921,979,460,867,043,993,994,340,
800,104,919,863,340,354,353,746,108,175,632,314,663,380,895,006,711,924,638,
239,461,966,137,036,230,882,475,150,985,625,076,779,165,937,586,436,479,381,
643,895,953,472,549,636,344,839,601,188,310,932,857,410,730,552,347,850,856,
554,893,769,070,759,791,031,903,136,371,588,516,359,673,246,146,648,327,117,
364,610,855,078,885,525,481,794,337,485,248,118,145,707,884,333,058,905,987,
755,900,561,254,482,479,129,622,230,948,122,997,004,172,914,850,569,858,614,
730,910,143,692,739,334,162,375,461,381,634,714,108,696,802,936,350,120,025,
699,072,408,615,790,690,002,122,208,243,917,573,779,751,559,042,668,956,603,
414,256,040,292,627,290,617,275,395,674,376,376,763,351,114,447,395,282,938,
019,186,240,655,129,391,610,086,424,356,287,445,311,722,819,680,392,051,776,
181,533,339,674,895,344,304,316,111,500,745,681,872,789,391,991,285,778,275,
335,904,739,537,266,587,665,571,166,422,201,126,740,212,118,966,751,006,168,
289,343,907,294,590,431,631,354,284,876,331,411,669,336,397,979,371,464,203,
768,766,381,079,614,145,800,025,709,152,391,006,821,659,737,840,260,486,485,
596,688,264,949,693,502,005,686,526,998,162,801,852,494,078,939,028,619,169,
932,926,247,752,918,747,133,707,543,391,503,707,033,047,087,119,661,420,523,
724,191,030,856,781,922,989,446,376,993,817,553,855,594,042,672,785,077,588,
646,703,632,703,499,294,432,889,785,204,289,325,905,496,300,416,020,902,884,
448,687,481,991,374,452,234,913,498,623,308,047,453,294,152,975,205,226,094,
825,832,619,161,207,541,727,289,255,122,282,880,747,816,568,073,642,192,513,
730,231,787,465,618,714,718,453,442,487,701,446,233,838,353,080,743,781,282,
936,988,778,507,300,399,640,162,711,784,101,552,706,164,490,361,198,155,774,
917,223,191,559,289,530,057,282,098,520,908,690,129,665,694,043,846,871,925,
150,144,910,848,981,443,056,865,339,399,762,684,932,029,112,875,389,720,314,
227,355,149,331,355,038,474,056,823,226,626,332,546,742,638,317,757,911,543,
974,195,904,051,001,335,027,735,464,186,121,985,119,752,016,934,664,774,460,
527,197,919,264,357,119,958,040,234,672,519,431,347,409,834,562,257,554,575,
065,188,163,787,369,589,486,300,045,512,337,974,829,170,631,797,961,560,943,
344,325,167,187,919,437,676,244,246,098,353,031,495,920,220,378,246,816,255,
704,507,073,965,998,914,384,674,624,810,882,000,012,219,314,450,300,321,342,
998,086,524,537,522,136,161,828,173,806,877,818,787,932,643,120,088,502,479,
949,036,893,552,271,716,535,597,415,846,841,354,491,201,702,953,731,760,261,
854,334,896,613,483,051,137,149,951,165,585,715,476,810,768,080,125,537,358,
151,524,737,707,103,747,743,586,046,790,022,459,731,669,254,280,898,042,024,
708,800,454,899,800,622,189,438,205,823,632,468,769,130,529,216,438,166,445,
136,470,090,417,153,394,070,839,703,331,299,414,486,638,380,419,364,485,520,
188,176,661,438,780,192,932,517,499,971,997,429,671,113,572,835,288,268,274,
755,563,061,570,745,578,590,863,649,787,072,348,874,728,460,898,193,631,406,
160,531,909,771,825,797,064,143,092,913,972,090,660,264,624,550,108,523,518,
006,526,273,210,230,542,190,607,070,177,438,662,322,426,987,380,413,685,789,
895,616,782,188,411,709,854,826,316,680,369,539,726,578,838,901,281,411,353,
211,939,124,355,863,378,899,096,707,053,512,329,440,872,856,721,305,302,069,
580,453,629,678,888,105,868,455,865,868,050,403,202,745,708,513,095,601,360,
302,327,343,385,608,206,259,153,606,436,103,176,841,289,391,008,326,667,936,
537,843,311,562,391,743,308,504,886,517,519,697,627,893,031,524,514,763,375,
571,931,422,963,578,173,013,470,169,685,871,960,612,258,475,158,296,763,706,
542,889,014,264,786,609,674,197,435,809,224,667,755,849,863,934,336,656,607,
985,940,757,045,620,992,563,442,585,508,624,515,311,263,307,875,784,087,862,
294,212,140,084,091,418,521,483,799,094,027,974,626,400,132,677,550,309,450,
802,846,658,233,804,723,712,846,918,028,369,697,499,632,988,233,553,510,075,
385,583,336,764,617,017,542,887,671,463,440,784,930,318,784,880,762,914,891,
844,100,067,206,594,705,989,489,100,684,318,513,533,384,548,991,744,098,626,
454,774,171,909,084,370,452,718,234,246,366,198,385,792,990,267,286,440,244,
382,204,773,880,672,127,630,897,436,856,320,349,098,864,204,186,097,039,681,
515,073,735,051,611,020,523,122,485,775,391,295,512,967,675,501,060,343,550,
888,859,838,346,136,791,883,281,807,603,373,431,058,913,966,897,217,248,085,
518,895,518,173,007,374,263,389,002,545,021,449,771,701,089,308,220,783,495,
789,032,234,742,909,888,270,771,459,272,955,559,577,887,116,144,512,896,605,
145,670,820,032,952,121,649,957,249,072,731,945,441,284,991,224,516,618,416,
060,922,374,904,099,773,262,464,972,168,961,131,615,500,606,564,317,751,546,
562,004,110,449,644,043,174,880,074,123,396,021,901,178,193,607,612,539,102,
252,425,066,533,518,138,402,265,983,711,292,536,680,525,214,999,455,910,381,
795,821,174,132,084,342,155,655,535,924,564,592,741,384,981,740,294,536,813,
368,915,357,763,389,052,384,701,693,200,454,714,170,887,683,740,570,694,905,
503,929,681,926,080,763,238,591,084,175,642,452,462,091,626,572,035,988,297,
640,357,097,988,434,073,122,644,969,964,110,994,533,733,908,361,549,142,273,
786,798,818,894,133,803,568,749,582,021,129,178,988,857,754,090,597,742,009,
828,301,861,918,691,138,837,339,845,438,140,594,092,496,983,952,963,495,783,
608,917,541,075,580,592,020,624,477,079,255,297,674,248,394,089,177,118,920,
499,575,660,172,913,383,947,187,014,270,944,466,220,237,958,718,389,393,005,
850,788,740,877,790,089,329,363,157,997,171,965,863,889,811,058,959,614,025,
745,898,048,213,749,385,286,415,881,496,896,336,542,992,559,457,331,722,247,
816,609,112,894,120,627,217,439,375,118,475,695,174,832,586,604,650,081,832,
214,739,583,178,637,126,082,018,206,750,252,097,878,028,103,525,808,055,488,
873,930,372,632,586,705,982,100,927,028,903,059,988,610,719,414,237,076,540,
912,451,704,306,751,612,819,817,676,918,286,154,651,657,526,256,747,261,033,
092,156,029,186,258,503,177,131,762,432,538,301,801,041,372,081,310,830,962,
989,949,829,549,605,834,101,216,423,041,415,015,789,088,096,997,714,267,131,
799,788,717,250,088,163,097,019,937,795,756,141,551,082,773,407,498,476,413,
570,299,194,426,067,338,361,114,335,618,198,368,092,782,504,043,811,917,192,
450,061,421,432,362,339,846,705,571,025,001,709,747,851,257,418,997,008,785,
456,114,000,481,886,614,821,302,520,881,300,786,066,783,987,624,912,346,425,
800,217,602,407,242,745,508,804,541,181,641,669,781,286,722,061,397,150,583,
771,695,617,539,329,539,620,722,998,628,111,291,277,699,082,374,427,281,183,
248,554,978,430,813,245,626,632,702,212,307,002,111,166,591,582,009,382,902,
810,184,799,951,393,329,709,161,705,513,569,288,612,522,207,920,001,337,381,
245,734,868,270,342,919,252,645,264,440,321,769,528,717,552,754,122,250,604,
763,259,645,634,288,431,453,385,955,449,373,916,269,049,784,659,019,964,303,
259,753,791,563,584,329,986,074,123,647,270,377,358,104,903,069,432,452,202,
748,292,065,938,633,016,020,887,754,546,181,182,628,751,572,450,360,387,228,
874,483,317,484,623,530,240,953,562,922,230,266,597,478,344,387,436,812,476,
198,901,787,442,545,445,335,186,828,695,092,278,843,526,424,370,113,148,675,
948,480,031,257,205,004,619,294,779,712,107,209,665,715,958,718,981,974,383,
672,494,904,437,099,930,322,967,149,681,900,270,409,271,124,967,386,669,707,
315,086,054,884,638,100,468,389,931,884,369,647,174,492,867,255,331,370,536,
252,293,794,868,510,242,997,690,210,959,703,738,229,504,920,204,615,244,368,
086,940,792,344,505,505,252,028,060,560,760,695,485,470,963,540,573,715,109,
009,922,002,250,516,972,833,110,311,828,074,029,128,608,191,853,503,794,318,
350,510,216,351,149,235,822,758,792,383,212,495,743,432,842,084,296,215,847,
539,179,203,426,937,659,883,912,928,130,875,788,163,559,647,320,158,692,927,
909,353,991,101,782,823,857,414,067,343,697,122,846,002,383,710,629,544,769,
311,169,552,634,347,737,454,448,341,872,729,165,831,022,304,865,170,234,318,
541,704,448,074,048,235,138,900,578,711,174,440,046,470,251,212,940,337,678,
912,263,590,466,642,958,328,881,959,202,204,943,130,937,944,755,279,312,857,
281,522,788,056,578,636,633,704,405,270,924,374,539,192,313,766,270,496,406,
740,560,625,185,504,957,622,214,128,917,976,718,180,395,972,248,112,305,435,
925,171,349,443,220,542,758,144,214,672,242,757,141,366,276,053,622,078,172,
747,593,687,836,940,903,078,107,039,197,883,645,026,047,278,225,970,329,247,
976,230,148,590,385,990,537,703,473,832,115,354,260,894,182,093,252,468,734,
332,314,419,657,613,374,195,846,988,380,316,498,127,730,156,105,586,062,539,
407,764,229,203,582,099,575,933,961,356,473,609,665,096,759,309,116,090,204,
222,121,077,159,225,340,348,631,206,290,959,929,358,475,503,339,464,983,912,
497,752,666,055,081,927,113,169,681,033,414,807,533,720,618,510,375,283,179,
420,968,259,007,680,022,374,130,020,745,222,925,032,418,349,448,661,943,363,
226,979,853,719,739,705,529,642,336,061,910,077,355,319,329,192,987,716,991,
121,323,274,300,565,564,878,322,909,881,037,940,967,988,522,364,187,803,287,
399,451,396,337,964,353,256,227,177,438,609,500,449,082,015,813,431,781,142,
018,539,340,435,579,281,487,916,603,411,577,525,152,172,372,073,833,541,651,
944,868,048,980,624,135,580,949,675,248,918,551,697,433,356,557,160,262,527,
362,234,857,457,502,799,467,506,063,711,746,598,795,683,374,299,632,533,944,
565,647,581,339,851,927,988,889,982,279,121,528,422,717,426,983,558,532,079,
487,141,670,619,423,714,048,386,566,073,007,858,918,655,397,335,678,317,019,
306,935,071,980,781,266,264,435,982,242,832,936,952,525,135,911,924,800,580,
910,085,877,398,826,845,479,172,366,952,412,021,173,601,740,758,020,280,069,
347,927,487,205,237,271,288,169,174,990,804,740,101,296,089,511,215,592,555,
167,129,949,160,635,671,712,129,174,628,119,061,129,479,367,776,701,599,191,
065,192,560,483,483,389,478,306,734,452,995,987,756,312,967,542,090,453,396,
363,289,369,759,653,773,796,303,141,674,048,611,818,411,244,482,393,077,875,
547,363,228,971,339,371,954,769,102,724,436,807,983,219,969,499,134,134,294,
052,246,861,570,228,764,003,635,979,437,807,320,624,363,571,521,915,748,023,
627,334,028,173,307,835,199,230,728,267,177,167,043,972,780,592,663,489,727,
291,049,184,725,117,451,749,473,748,728,001,881,639,047,119,850,938,490,661,
388,960,056,317,759,366,742,438,800,814,875,967,034,830,111,925,964,283,017,
226,905,755,578,085,849,273,519,703,091,512,984,010,441,121,367,364,969,415,
631,044,899,427,601,803,975,243,696,971,190,068,900,682,529,199,257,629,405,
931,350,756,133,825,363,673,268,154,842,790,673,680,256,275,750,703,617,092,
433,342,942,018,544,599,931,664,275,091,569,925,815,595,080,667,420,459,185,
170,986,057,421,649,096,307,591,926,512,599,888,828,947,489,718,673,503,632,
603,373,950,714,097,554,274,124,240,403,097,779,986,540,480,336,815,560,357,
492,862,282,127,511,291,833,067,600,506,414,244,960,507,111,682,687,918,052,
534,678,689,831,932,054,497,883,817,467,282,330,683,252,300,267,720,328,870,
889,798,379,416,458,442,718,313,009,705,178,245,519,260,584,281,149,491,335,
591,242,617,063,730,837,839,939,453,782,459,443,257,714,060,841,871,118,994,
098,896,882,609,630,824,078,589,689,435,861,068,822,725,152,739,868,442,109,
114,733,605,501,302,728,231,861,408,651,424,427,350,929,304,371,842,649,097,
823,713,227,899,880,825,415,988,140,028,262,551,395,825,783,190,619,125,838,
058,548,604,852,346,859,607,708,089,789,975,599,320,560,790,009,619,847,548,
490,374,721,465,821,807,482,251,670,465,173,705,930,764,874,553,645,918,552,
602,039,938,405,471,199,009,293,822,436,468,679,302,128,345,953,584,282,252,
651,855,967,281,992,650,414,168,936,714,311,595,465,711,511,211,426,766,924,
198,823,324,075,950,050,045,480,889,855,231,006,363,413,375,974,676,619,890,
508,807,587,691,517,331,019,691,349,130,865,414,571,809,149,081,228,408,050,
146,201,298,287,220,452,598,786,439,159,680,778,978,407,880,996,185,917,680,
893,566,383,061,439,381,830,325,652,877,001,572,845,674,899,340,907,624,760,
209,066,530,006,700,616,245,027,471,055,612,296,998,280,710,805,575,749,675,
091,339,663,005,336,374,838,202,605,976,271,274,367,093,263,982,283,348,952,
208,865,536,730,507,722,592,842,753,450,946,562,285,242,690,369,987,439,745,
283,072,209,241,922,994,226,215,754,622,007,614,458,680,081,230,138,731,216,
121,063,374,238,328,642,888,518,475,319,361,511,507,774,692,889,063,795,119,
440,735,345,402,434,348,925,008,722,237,257,918,095,120,626,319,488,187,672,
473,769,933,207,775,101,782,303,228,063,073,968,103,833,615,147,680,473,635,
857,773,633,476,646,976,365,601,151,180,818,433,520,937,310,276,343,683,962,
855,783,463,168,508,540,839,915,573,514,171,491,652,230,581,317,192,231,510,
881,807,372,988,956,972,314,719,152,124,264,690,879,141,344,167,889,348,712,
508,282,576,283,790,707,235,623,843,936,176,718,393,030,283,406,694,085,922,
089,268,251,118,433,645,047,950,246,914,796,254,018,992,578,285,553,622,546,
079,688,622,403,317,693,048,451,211,030,418,473,384,634,257,176,168,224,532,
372,426,226,789,163,502,643,559,063,346,636,140,344,222,626,655,666,591,987,
856,378,421,547,251,164,500,451,726,341,386,467,632,360,076,550,105,621,932,
024,839,998,125,209,738,417,077,634,497,360,294,125,191,812,235,719,791,713,
333,732,030,748,420,674,405,851,306,927,949,713,456,498,124,333,349,092,722,
159,710,944,055,899,756,394,748,132,619,941,321,421,209,630,909,822,853,775,
228,549,146,906,413,877,918,630,972,883,274,269,004,786,467,844,851,371,972,
050,923,470,719,627,454,584,553,089,701,127,432,524,991,406,507,744,942,851,
083,255,029,632,354,501,421,455,205,682,970,949,731,913,628,964,574,353,743,
261,840,832,853,962,509,077,258,803,192,122,089,310,721,540,958,548,463,215,
256,945,383,211,368,631,982,722,920,933,830,589,364,546,926,655,235,424,347,
794,650,869,412,727,252,243,066,578,180,782,565,685,544,718,888,390,393,158,
873,864,543,991,430,941,915,018,260,833,933,351,875,310,039,433,357,951,670,
843,634,266,620,935,255,624,526,863,742,595,475,962,586,181,359,922,520,249,
374,122,567,776,660,702,072,122,108,420,042,011,866,618,730,009,535,949,169,
082,072,368,605,966,875,271,827,374,532,791,350,853,528,672,807,185,197,202,
268,545,046,479,610,072,218,385,552,838,506,645,958,648,553,880,103,471,138,
569,503,255,888,105,348,522,770,111,533,573,790,917,795,720,070,186,314,630,
252,765,095,046,398,193,779,008,779,011,366,258,909,196,459,969,387,216,284,
105,595,065,280,267,282,523,445,023,018,093,940,955,485,602,715,731,181,268,
893,402,262,437,667,970,462,259,467,432,937,833,063,231,768,588,726,539,171,
428,720,509,984,483,534,355,058,978,488,856,585,376,585,462,384,661,957,560,
385,527,615,638,058,988,125,912,988,952,679,883,695,179,167,104,825,896,693,
540,737,993,970,149,083,958,901,684,139,672,994,578,718,421,284,093,344,378,
689,299,891,927,927,303,953,296,397,190,598,170,220,300,440,037,762,202,983,
493,471,407,220,021,055,856,510,540,696,443,511,391,309,860,278,074,578,242,
001,144,609,764,624,769,743,154,286,566,468,710,725,145,576,503,439,899,247,
710,710,899,960,593,778,517,070,367,311,862,048,069,084,302,430,925,451,850,
066,418,184,560,295,047,111,961,335,643,023,679,148,269,798,354,924,293,264,
103,387,057,296,916,818,249,644,326,823,715,322,886,773,181,591,888,882,076,
669,704,348,204,593,738,154,596,870,189,712,403,688,328,095,950,242,468,137,
092,420,900,441,906,135,318,655,984,731,449,583,694,476,173,145,990,682,969,
820,445,658,646,388,150,175,951,579,755,757,656,414,242,130,157,120,524,082,
062,499,869,865,288,269,723,039,534,700,667,637,872,675,087,076,386,431,355,
620,048,269,767,835,110,444,303,836,291,228,983,729,165,800,840,610,863,377,
655,646,321,128,686,405,491,379,047,618,605,039,563,952,189,725,171,758,466,
901,128,203,324,980,466,386,468,699,750,152,971,468,943,340,200,899,508,843,
750,855,699,568,542,955,665,340,173,000,191,808,002,988,167,725,593,947,378,
097,841,768,588,337,655,497,632,949,167,590,010,912,363,176,804,094,576,867,
371,004,683,799,670,286,460,837,088,863,774,420,055,273,593,662,587,102,621,
354,522,238,578,613,691,891,279,705,692,009,234,478,750,667,748,560,345,061,
458,130,119,528,988,913,991,335,962,535,590,009,893,351,282,712,092,260,732,
574,488,882,203,881,986,405,386,519,220,411,878,879,310,663,312,165,164,914,
180,548,759,185,115,480,048,610,932,580,220,991,487,001,101,705,735,376,341,
876,174,204,781,513,190,883,907,810,834,103,955,299,610,593,987,046,818,918,
442,292,357,015,757,652,248,724,072,234,570,506,274,661,198,412,908,820,570,
533,508,870,055,262,096,072,011,434,055,912,682,522,659,341,875,302,082,029,
862,916,259,351,006,042,808,719,757,132,453,282,050,251,094,435,521,482,610,
007,891,795,396,195,370,355,384,131,723,822,228,201,492,059,634,978,271,945,
255,512,780,670,476,295,642,801,040,493,297,390,933,075,719,218,288,302,091,
358,345,723,025,451,904,996,463,531,699,375,412,749,112,536,285,608,355,399,
730,049,439,122,482,048,571,818,044,575,570,709,510,331,023,507,757,406,580,
887,759,613,684,856,677,946,278,964,935,339,437,625,723,161,096,476,345,354,
337,009,503,106,673,633,021,157,881,187,953,181,612,070,466,179,565,242,390,
843,413,472,923,274,064,257,228,613,723,764,792,894,536,552,626,062,656,212,
381,455,713,724,299,872,421,518,196,517,282,310,440,263,354,250,538,673,012,
360,169,674,950,825,557,046,600,618,235,658,935,542,861,295,821,425,905,330,
350,936,116,148,483,452,024,406,864,899,354,965,697,796,938,817,657,732,378,
584,630,974,328,474,550,254,724,108,184,449,075,719,777,814,893,518,547,301,
728,843,086,878,485,812,486,578,503,323,274,893,698,570,039,939,204,510,779,
166,222,468,936,917,095,898,752,482,797,656,660,243,943,916,280,265,823,095,
569,768,415,200,092,389,955,598,649,228,517,935,337,312,445,103,219,627,608,
882,886,452,914,808,855,753,100,246,202,388,950,378,227,800,113,366,942,253,
107,910,108,064,626,771,036,508,387,410,927,103,556,710,382,457,461,470,833,
742,890,032,362,931,213,357,250,364,790,487,041,001,387,359,517,594,958,818,
750,923,991,232,216,239,230,579,695,516,775,553,378,686,852,701,668,034,357,
492,495,985,355,639,224,582,359,251,501,505,795,699,481,850,071,086,939,259,
474,333,670,938,558,506,843,055,864,944,419,398,055,796,402,028,918,210,767,
749,658,488,047,995,554,941,543,086,885,266,906,372,895,097,479,498,569,056,
308,161,450,480,713,963,435,842,959,925,659,402,733,004,258,417,691,499,125,
116,255,794,542,745,880,527,766,707,769,082,180,077,605,795,725,685,583,218,
022,203,160,938,346,491,476,074,921,200,473,298,322,977,193,612,566,756,272,
572,840,088,682,041,852,342,485,877,565,964,158,223,835,320,275,786,893,223,
554,186,890,743,771,315,232,949,861,881,539,114,105,184,006,511,439,604,860,
048,722,820,151,789,757,518,479,304,951,454,934,793,512,336,358,733,566,315,
275,107,476,859,636,107,313,145,390,242,744,848,283,908,382,522,774,527,344,
998,657,591,378,599,397,361,521,796,976,644,176,102,996,749,077,218,519,126,
028,936,368,941,894,730,685,492,617,121,023,700,343,100,046,213,537,165,010,
664,758,717,869,297,207,427,146,430,007,212,062,239,229,451,313,247,772,161,
084,711,800,314,953,174,807,660,366,391,355,501,197,847,926,677,602,745,235,
591,234,260,375,634,343,879,815,381,414,641,915,276,036,551,465,212,947,859,
830,460,373,349,275,914,708,955,804,430,403,374,715,659,505,058,437,894,808,
682,828,544,101,600,164,967,158,741,001,107,923,034,553,032,882,999,568,118,
538,304,945,918,984,492,749,491,921,383,325,105,514,819,804,189,803,278,768,
996,247,042,655,973,760,390,719,431,019,575,235,781,915,766,674,804,372,931,
572,407,160,354,677,487,460,151,685,052,674,872,013,289,337,814,831,379,829,
448,827,673,474,000,613,475,113,543,564,063,692,578,035,455,553,854,454,930,
687,848,137,718,701,509,593,287,489,982,663,403,634,091,181,636,327,129,377,
260,055,040,037,099,266,501,578,786,432,747,172,675,476,008,740,807,572,894,
134,914,620,028,418,605,962,157,369,320,127,307,967,167,024,901,122,617,860,
088,747,639,668,018,987,064,787,513,031,202,202,095,993,081,064,941,728,880,
175,071,227,482,644,534,461,651,175,554,569,520,435,562,807,862,767,818,296,
487,560,124,025,887,391,086,816,807,153,420,675,222,902,305,517,896,868,224,
009,371,588,819,576,633,512,669,576,866,264,183,360,798,889,895,137,582,101,
687,704,201,812,604,052,501,970,896,724,502,868,829,545,606,935,263,273,871,
114,241,732,099,714,830,016,259,204,719,505,262,780,757,242,322,190,067,636,
527,604,324,012,659,600,317,569,613,166,597,025,069,582,863,857,347,489,012,
670,444,136,095,027,781,831,751,866,834,394,264,182,515,826,369,027,117,324,
336,039,731,022,485,929,570,857,784,377,151,147,666,553,708,443,339,872,072,
543,288,756,012,360,262,674,184,453,884,079,515,445,341,289,878,280,772,762,
462,505,986,247,094,870,106,684,977,049,484,650,094,161,749,349,686,051,720,
901,601,095,999,137,071,718,090,472,141,933,706,819,860,033,486,268,010,524,
771,099,060,527,806,439,967,617,002,911,589,383,633,648,063,830,731,893,876,
644,019,678,381,781,753,013,546,122,733,657,706,978,109,617,116,808,372,041,
915,958,708,188,811,298,873,109,146,455,763,583,017,845,021,471,468,147,811,
675,731,633,599,227,959,406,883,426,204,167,853,936,583,669,256,571,322,181,
953,511,480,524,485,845,541,847,252,217,236,584,356,301,201,103,690,810,465,
667,721,391,786,206,519,763,258,842,966,766,121,455,235,348,360,998,897,640,
519,677,368,973,082,154,583,212,326,316,599,182,908,036,735,139,126,386,566,
449,695,369,466,830,965,883,582,223,492,974,379,594,531,164,986,437,494,365,
198,451,430,302,520,964,461,175,029,933,381,361,395,629,404,513,677,365,997,
371,192,443,862,938,679,712,361,358,641,239,043,374,465,875,433,986,863,469,
741,582,793,072,955,818,531,302,259,424,280,539,363,954,911,181,277,351,324,
111,564,834,040,444,329,851,340,223,493,565,587,444,085,931,900,792,763,041,
586,346,148,144,183,639,111,647,629,454,608,569,316,771,539,404,639,471,127,
592,389,150,439,282,717,507,448,521,992,699,023,210,565,535,330,529,082,375,
444,567,571,934,441,251,200,236,402,074,217,821,262,063,661,835,401,695,104,
507,074,674,972,843,057,076,526,741,920,231,893,324,406,422,289,917,282,542,
314,741,218,236,619,412,293,745,459,890,198,656,102,588,774,657,108,495,951,
213,569,129,012,964,958,513,845,342,198,268,272,758,928,786,133,691,711,582,
494,833,082,922,047,169,438,884,592,242,943,010,064,990,259,637,667,555,149,
978,300,335,124,998,582,158,572,531,262,103,564,597,537,328,787,153,878,692,
928,358,980,786,438,757,891,920,052,737,426,008,706,329,620,266,594,632,149,
594,562,096,965,083,041,647,362,070,535,464,057,181,542,314,608,381,512,676,
303,320,282,499,046,107,443,178,384,150,010,813,210,659,714,165,908,699,995,
093,857,549,707,769,544,743,513,719,883,386,051,209,982,085,109,910,769,923,
102,872,335,683,754,198,157,092,792,772,542,870,124,263,620,534,774,176,836,
432,486,545,284,850,914,321,625,266,683,338,299,294,664,798,776,256,127,545,
913,688,289,656,064,070,302,052,675,919,225,281,385,712,404,183,561,452,363,
430,948,914,258,353,373,137,052,826,317,844,402,460,998,425,537,001,500,565,
236,391,798,135,623,305,714,202,675,211,564,384,134,850,928,217,572,106,441,
249,038,942,763,510,701,323,141,959,756,249,531,143,538,370,991,903,741,719,
208,222,640,990,297,141,687,997,957,544,853,037,091,187,123,046,037,378,227,
168,294,125,375,228,466,781,797,451,800,576,136,777,397,913,972,331,902,472,
594,538,050,667,832,506,769,819,007,057,091,079,601,701,738,607,508,318,206,
750,347,185,626,698,784,529,150,874,802,613,292,523,570,944,120,722,131,577,
916,434,233,445,599,919,546,366,626,779,265,670,668,666,768,844,759,455,032,
617,876,398,220,639,000,122,322,017,402,817,012,848,713,865,592,933,983,323,
442,482,952,974,689,840,102,150,875,564,934,258,829,036,488,676,674,023,271,
697,827,233,627,055,713,999,410,804,481,225,070,031,459,784,278,890,139,065,
928,059,181,698,842,182,415,594,198,402,924,127,778,605,645,147,241,299,509,
690,174,834,737,410,783,238,678,422,980,305,972,465,647,733,582,729,371,146,
618,947,227,049,058,791,551,176,004,954,348,368,392,926,732,033,235,991,712,
066,045,952,254,909,808,827,358,149,227,107,513,305,435,534,818,604,624,999,
883,284,994,886,151,761,183,645,235,606,586,576,355,257,675,945,435,071,865,
599,081,491,625,012,963,328,298,578,843,664,515,518,287,331,218,836,577,941,
335,112,714,576,285,807,386,089,132,788,741,777,829,575,324,915,582,105,528,
249,455,095,484,114,459,526,766,280,444,054,269,127,012,818,594,167,834,934,
261,621,607,004,054,426,932,777,752,366,128,586,845,246,567,263,857,397,747,
901,763,100,778,492,442,865,645,044,853,057,987,006,428,253,828,842,137,850,
814,090,780,982,983,371,105,914,652,823,398,107,876,968,576,449,304,615,262,
155,081,932,394,312,722,896,125,406,573,584,942,838,986,644,496,883,839,617,
477,871,906,481,560,303,167,360,048,000,062,152,572,580,878,430,810,111,198,
597,962,774,008,413,186,442,299,958,366,648,864,522,606,578,367,480,595,182,
055,805,778,314,027,297,185,844,435,248,480,730,114,730,646,196,629,132,325,
157,993,088,862,957,062,411,344,154,775,425,080,548,166,777,578,783,740,641,
114,145,167,207,313,026,514,396,332,627,978,158,354,126,451,036,527,367,586,
979,781,698,872,815,432,385,731,068,899,997,513,013,764,932,300,397,420,429,
789,426,060,931,831,617,480,370,381,051,913,625,410,398,922,983,465,221,190,
710,120,205,003,999,421,061,513,187,539,641,771,685,570,929,481,097,560,431,
303,421,504,526,268,123,719,134,235,237,360,367,911,721,411,435,620,302,500,
061,730,716,546,484,342,286,548,618,603,983,220,309,591,394,700,925,575,582,
418,119,608,970,210,651,297,219,803,260,126,569,658,752,958,414,677,483,583,
445,027,807,331,797,561,371,378,583,248,177,726,281,799,327,283,623,747,481,
159,541,449,444,157,020,623,260,194,992,033,529,167,929,265,264,234,864,664,
973,393,312,518,165,121,613,390,632,196,046,898,187,673,039,715,488,472,711,
029,823,704,237,755,387,280,902,192,298,471,924,165,537,541,532,884,993,011,
985,571,550,367,966,008,615,845,712,699,568,428,525,394,220,308,185,563,117,
664,649,512,525,664,475,061,695,981,055,983,236,437,791,926,930,655,389,472,
584,482,817,503,771,502,064,457,981,574,295,823,287,552,114,565,688,583,913,
443,706,770,255,656,071,683,032,830,061,472,822,943,792,180,609,431,185,388,
826,574,439,282,025,605,483,288,321,366,328,343,572,026,743,376,700,970,278,
299,081,034,418,528,200,450,213,321,647,055,755,913,739,728,361,128,319,160,
779,550,661,087,668,402,544,634,498,789,680,156,564,052,063,887,286,997,337,
855,879,132,954,381,181,108,687,960,438,624,102,149,818,308,302,479,523,751,
668,413,488,179,981,848,607,682,583,463,739,423,570,109,718,378,925,995,808,
968,861,783,482,541,102,114,048,100,026,047,166,529,667,391,809,759,412,837,
668,554,562,863,223,561,673,591,526,617,171,480,757,662,612,827,089,345,479,
262,404,424,634,512,370,800,281,457,117,702,825,969,196,576,457,364,938,132,
786,485,647,093,850,162,210,713,718,027,376,083,406,790,436,119,651,511,654,
951,433,756,406,140,876,002,639,098,242,056,198,722,544,570,827,151,230,737,
875,095,949,399,638,127,066,697,653,175,688,908,953,685,051,520,179,885,780,
812,579,245,202,553,353,032,562,797,187,025,408,831,542,747,824,016,488,824,
583,805,945,901,722,692,514,080,373,661,509,752,507,407,586,386,012,888,391,
293,419,262,864,805,331,583,992,745,697,293,137,914,532,097,852,203,059,918,
912,706,571,621,513,201,661,869,229,292,342,931,937,728,229,617,691,251,158,
107,439,139,574,415,675,737,011,550,998,261,094,972,787,304,089,078,729,166,
285,198,109,496,380,317,891,888,066,068,283,854,301,668,927,002,394,798,108,
943,608,693,196,773,401,159,869,857,847,797,105,372,838,404,282,439,581,320,
926,854,424,460,752,039,838,926,065,095,262,616,307,148,558,109,015,407,708,
734,622,793,650,785,414,841,398,952,578,596,231,316,150,287,811,330,086,019,
725,438,765,733,219,560,769,782,606,971,030,828,332,602,931,318,240,841,843,
071,356,992,088,347,555,078,115,829,348,259,550,231,656,248,705,314,018,457,
963,105,010,737,038,632,740,023,580,696,643,308,895,535,861,020,367,017,258,
508,327,374,198,219,022,065,979,563,115,892,218,726,350,687,020,100,652,772,
450,332,430,937,632,186,850,214,293,750,320,878,785,887,816,542,278,711,922,
048,910,056,253,102,592,402,087,405,339,592,506,411,508,873,350,081,648,092,
863,535,143,425,680,208,676,949,723,256,231,508,082,041,449,638,223,298,672,
086,789,230,441,064,848,116,299,836,616,082,827,493,013,237,860,490,355,239,
265,675,849,780,984,984,163,434,296,187,675,114,050,713,652,950,759,511,006,
538,762,583,613,258,240,910,635,627,170,101,209,442,366,813,174,869,088,566,
526,659,309,131,151,408,523,239,298,929,423,137,073,255,208,162,557,318,481,
158,733,387,614,905,354,520,940,914,412,572,692,012,182,980,625,707,357,476,
782,874,865,302,997,914,800,144,085,864,204,147,496,031,881,743,030,860,705,
283,121,659,109,186,481,096,033,392,471,960,955,898,524,587,907,310,179,954,
838,646,681,968,689,587,323,649,685,534,117,475,402,864,826,914,321,880,646,
627,708,381,795,672,233,254,641,613,124,170,318,920,933,491,876,486,055,040,
739,857,810,953,452,717,188,375,066,291,768,346,228,627,685,905,489,787,822,
424,263,658,117,192,256,488,469,534,772,290,833,290,954,143,200,575,989,371,
819,906,230,994,931,042,097,569,217,454,843,417,004,129,491,047,517,062,823,
997,667,305,891,801,433,972,186,473,936,039,632,116,293,021,943,577,100,988,
964,520,687,886,360,567,984,765,346,590,237,783,065,031,643,334,712,669,676,
486,926,669,710,422,411,008,531,973,690,995,426,411,269,038,605,511,017,546,
879,971,380,364,640,168,661,571,398,122,390,713,669,603,836,123,438,066,139,
232,031,517,896,153,493,072,014,149,811,912,547,360,173,449,867,089,489,027,
809,652,148,906,877,022,074,004,859,180,659,969,725,621,874,203,313,006,069,
408,396,723,947,522,429,234,170,303,837,596,335,631,060,029,346,320,027,543,
822,710,170,195,954,568,840,805,822,069,991,296,368,576,809,842,312,822,351,
663,769,067,079,365,748,539,962,628,527,628,060,669,471,393,782,206,940,659,
841,518,735,298,507,270,587,933,718,888,848,564,740,639,203,277,847,839,441,
522,558,245,796,819,585,318,651,041,240,624,334,013,772,746,449,032,469,065,
128,877,220,754,977,075,528,051,515,285,126,376,478,363,356,933,200,484,324,
840,865,235,303,629,815,639,081,658,267,275,902,802,771,044,659,578,099,762,
012,642,548,281,866,735,479,006,667,534,693,912,505,019,438,938,353,779,679,
129,886,487,314,696,102,185,491,630,724,400,350,939,970,402,205,911,023,984,
229,645,561,928,915,262,150,191,980,609,814,065,439,569,546,353,349,138,816,
682,201,815,619,895,790,381,578,048,134,309,152,611,468,937,342,472,105,708,
803,086,739,188,605,542,955,021,186,374,729,549,119,838,797,194,187,623,232,
228,034,328,958,885,580,402,961,909,016,388,758,031,426,685,746,651,248,936,
123,970,352,299,741,868,185,841,942,303,299,516,312,177,536,203,962,154,333,
977,867,981,709,759,446,805,929,843,423,290,415,538,305,328,456,470,155,373,
928,198,323,460,807,959,799,156,522,954,328,194,261,894,668,456,098,094,443,
500,587,377,385,352,566,203,511,396,858,440,208,161,006,964,674,567,039,384,
001,680,434,209,377,280,308,931,074,248,455,449,180,367,860,140,066,013,775,
758,028,761,852,158,820,956,001,531,126,909,722,753,973,594,543,163,843,684,
236,530,537,191,853,454,351,760,797,532,353,165,498,677,296,080,823,344,776,
627,529,547,014,851,808,646,480,970,569,121,672,524,173,434,992,512,117,092,
327,586,856,939,442,371,171,332,031,822,314,317,333,312,260,795,407,795,530,
146,181,988,250,894,763,493,382,628,096,954,853,401,229,986,557,275,411,362,
723,793,372,399,472,225,614,843,883,664,378,364,013,906,419,425,601,997,580,
596,777,810,136,492,268,791,853,584,955,699,093,568,380,777,017,989,430,089,
502,120,491,556,999,066,307,017,636,237,135,930,486,196,567,830,449,370,103,
232,442,921,377,897,921,917,334,223,408,878,293,866,293,916,082,250,442,216,
428,648,954,848,410,469,193,201,654,825,877,966,139,422,879,332,704,046,458,
469,459,855,226,555,239,487,847,330,499,864,306,918,886,160,911,100,224,784,
272,153,713,830,740,152,245,150,527,440,791,132,849,327,317,514,252,902,307,
130,979,665,255,647,873,261,180,636,462,809,585,833,699,084,251,378,752,101,
950,600,359,503,507,535,906,197,959,315,252,950,368,474,797,222,910,720,489,
700,988,766,143,764,772,107,667,430,893,782,608,529,201,342,037,311,840,008,
107,994,588,529,430,951,375,850,013,684,878,571,162,892,114,757,835,327,079,
920,049,759,443,926,814,158,973,715,399,079,617,081,576,869,166,165,547,506,
781,666,735,913,146,728,473,954,062,723,469,844,918,432,801,592,060,758,502,
428,208,683,807,285,211,553,216,701,182,836,038,823,044,259,581,419,820,242,
791,558,687,116,527,985,937,299,234,905,925,718,493,022,871,270,713,486,562,
674,348,209,481,756,847,770,178,825,527,820,890,696,735,292,500,416,681,456,
190,490,248,990,642,299,574,150,392,754,647,594,754,751,716,060,802,791,142,
945,244,420,962,024,657,482,083,644,476,663,750,043,543,881,347,529,769,928,
390,931,334,754,720,665,960,477,222,630,257,802,491,184,509,728,271,553,660,
045,739,314,831,070,374,045,010,902,896,577,541,074,236,830,366,149,335,786,
649,419,555,209,176,293,444,485,602,227,370,615,906,897,483,656,770,654,231,
461,347,308,758,316,156,607,189,304,070,492,801,864,641,313,065,146,481,012,
051,249,486,416,486,784,606,594,459,955,412,598,251,505,285,127,910,086,538,
581,744,399,646,583,003,779,548,215,415,858,268,702,068,206,199,865,028,452,
991,491,925,489,699,252,138,436,706,909,066,109,130,474,765,284,963,554,895,
336,179,556,791,291,432,222,057,002,720,117,307,524,937,497,114,322,153,680,
210,524,545,396,528,953,510,391,079,388,837,593,616,391,233,390,413,323,573,
061,235,633,082,652,494,011,075,045,861,202,843,200,492,461,642,416,967,617,
772,727,788,079,328,421,889,872,959,888,894,712,812,740,102,341,482,581,948,
980,326,353,509,285,377,483,155,057,220,262,917,166,267,577,412,993,813,101,
647,486,763,467,701,054,721,487,765,837,018,208,870,469,285,788,775,265,065,
343,832,188,800,066,262,669,211,860,853,686,868,248,843,906,857,646,067,450,
139,908,124,077,257,551,038,916,094,955,397,527,575,436,734,336,450,489,382,
317,646,467,324,084,756,313,386,339,470,625,042,536,945,313,333,936,980,962,
952,707,632,207,390,279,041,271,997,691,352,862,030,989,802,215,757,768,901,
572,890,936,715,526,295,517,548,376,800,213,147,848,161,754,087,344,301,153,
020,627,262,573,885,067,953,437,434,348,038,662,950,820,272,018,546,012,965,
237,434,437,265,786,764,110,071,162,119,327,072,973,846,288,581,368,819,991,
858,978,174,108,583,378,523,663,986,236,499,520,961,708,901,870,831,688,398,
801,287,564,957,746,101,568,291,218,450,947,051,913,849,076,852,858,907,556,
781,417,448,559,159,084,771,927,777,547,220,138,597,989,604,419,960,031,638,
486,859,063,066,595,945,056,359,013,426,372,090,245,066,646,580,299,841,832,
715,197,910,401,799,795,093,771,876,802,312,799,566,702,442,826,637,392,141,
514,471,170,538,903,963,370,328,682,403,383,702,767,884,229,108,291,375,752,
924,343,379,029,275,643,033,566,003,325,345,067,558,493,399,770,350,827,536,
870,380,356,285,768,533,008,955,314,013,705,446,650,828,585,044,310,774,154,
733,286,293,420,431,265,175,668,999,802,668,082,366,919,719,311,499,727,445,
190,585,321,877,219,394,315,039,398,378,634,515,046,521,928,046,878,390,723,
268,047,136,376,725,055,862,472,956,639,113,343,912,267,620,723,350,490,706,
093,687,391,442,864,338,610,293,126,532,000,433,391,923,187,484,723,511,515,
291,706,492,481,677,098,287,043,435,353,059,348,519,254,708,652,175,190,229,
447,567,243,238,508,651,947,052,416,745,252,362,816,697,669,896,510,357,838,
934,251,493,741,338,994,613,413,635,256,734,263,073,265,527,438,418,293,968,
425,628,902,049,768,801,015,519,075,987,050,346,417,811,928,272,305,360,662,
510,553,376,878,252,507,380,718,834,628,943,687,063,272,198,534,244,934,305,
952,208,818,729,192,446,871,258,252,731,386,067,156,286,239,422,928,660,235,
417,859,333,566,845,924,574,999,344,950,928,344,671,648,597,395,928,041,215,
202,992,018,181,159,267,752,613,611,807,249,707,054,768,908,010,526,441,389,
227,447,280,532,308,721,431,100,686,128,536,221,190,504,429,586,176,628,231,
495,988,659,578,597,082,331,396,292,066,156,150,275,179,061,882,342,722,009,
119,652,556,849,870,013,782,255,337,573,533,870,815,615,558,768,459,805,380,
149,987,729,301,145,579,226,581,960,618,503,537,686,659,253,080,871,118,779,
858,048,289,976,211,595,065,781,197,039,623,645,398,648,882,469,901,219,912,
635,603,124,450,106,653,639,733,724,364,670,885,958,230,050,905,842,956,036,
184,369,562,476,711,563,495,255,829,115,718,936,417,535,017,465,561,583,131,
583,033,504,558,355,431,000,202,754,776,457,381,566,784,527,033,773,321,055,
126,056,696,234,858,849,046,864,609,757,887,760,239,078,699,610,790,084,746,
970,775,502,882,783,860,138,359,937,669,083,297,206,642,534,636,286,019,995,
347,244,227,362,085,153,906,055,676,127,035,929,376,931,210,118,651,772,386,
530,027,740,484,942,367,469,140,559,296,936,051,197,892,034,060,824,189,649,
969,090,159,250,247,479,725,911,844,292,023,271,800,427,159,591,752,348,705,
210,095,923,900,097,413,667,738,081,450,223,191,376,887,853,330,111,770,624,
265,399,001,290,154,935,463,571,961,648,812,952,959,598,554,181,462,431,566,
403,428,230,960,595,923,408,459,374,232,047,566,666,357,368,946,555,508,433,
035,472,411,465,314,631,002,121,379,987,979,343,064,000,619,171,307,369,745,
430,399,948,336,962,963,677,154,819,048,813,472,520,292,704,092,874,621,475,
680,195,673,667,784,416,346,987,157,049,429,499,723,600,212,829,553,760,023,
275,742,822,774,930,558,517,146,893,550,065,288,003,660,136,692,895,418,247,
690,756,490,553,386,962,501,636,832,602,582,350,818,252,121,157,083,220,059,
350,608,451,654,547,003,114,745,437,036,755,899,849,686,978,134,151,130,436,
938,487,571,181,061,944,186,332,399,985,130,556,782,106,807,837,505,784,360,
861,027,585,961,541,456,110,062,531,918,102,353,827,784,582,123,433,484,332,
335,923,344,880,807,161,581,265,792,830,133,560,786,385,726,034,770,095,756,
744,273,056,014,281,949,534,831,101,631,902,432,608,268,963,895,514,163,691,
759,252,597,649,782,647,210,076,278,711,601,804,356,348,826,926,567,903,572,
207,319,384,892,851,184,655,044,274,385,411,003,212,925,847,727,144,393,093,
951,538,767,968,807,393,414,352,618,082,562,909,989,275,137,084,619,480,350,
525,855,132,874,474,723,210,361,765,241,935,090,418,685,500,703,301,832,237,
730,692,650,214,139,790,669,158,816,329,621,905,624,708,485,450,207,276,754,
971,741,925,097,469,991,083,454,402,141,909,095,691,352,464,616,499,615,731,
092,516,343,371,857,538,497,740,830,533,962,584,093,361,836,782,245,482,260,
997,270,640,897,201,502,612,257,867,254,623,359,243,046,058,647,341,329,457,
463,364,174,572,253,647,275,037,173,168,570,703,095,458,235,129,893,827,210,
308,847,986,852,852,310,063,298,415,744,213,321,687,868,717,510,040,133,561,
289,997,462,873,042,979,377,586,079,672,427,990,767,984,215,862,031,576,227,
900,705,142,392,666,504,908,775,275,585,948,239,330,305,271,541,022,666,206,
880,766,778,116,480,623,383,782,750,986,234,676,120,883,891,567,477,659,139,
939,982,097,993,098,286,749,761,214,458,287,331,598,413,727,594,109,146,823,
068,205,540,782,187,292,268,160,082,566,840,965,881,231,057,608,559,049,849,
727,728,676,310,293,064,332,300,326,168,586,635,268,823,771,572,418,348,726,
710,966,360,651,915,728,010,372,942,981,330,990,637,755,041,927,618,465,363,
687,087,479,857,558,461,763,855,367,312,291,139,522,481,613,274,683,032,958,
468,929,497,931,086,045,779,568,760,122,742,227,302,373,902,385,598,040,706,
919,148,348,804,372,547,056,564,690,724,158,905,363,985,146,826,118,833,443,
757,185,901,278,739,301,663,512,543,237,095,601,130,768,307,095,473,972,441,
313,704,841,983,557,257,964,938,936,283,072,234,344,092,155,274,867,261,591,
249,807,225,003,747,949,642,959,140,163,054,708,720,324,258,406,667,349,716,
783,626,966,059,539,588,407,807,675,533,850,583,521,009,419,623,191,139,076,
497,715,871,882,776,890,148,201,417,766,680,357,691,037,475,199,842,465,289,
915,130,619,548,887,869,061,489,328,914,776,222,737,787,512,579,183,441,507,
056,944,901,097,237,641,803,551,621,169,455,138,264,028,083,434,795,155,925,
808,868,362,527,940,401,298,820,056,238,291,502,679,110,800,989,326,429,110,
014,033,696,039,484,654,880,066,435,731,023,053,694,386,571,277,498,097,765,
951,988,452,425,947,152,374,310,597,013,046,715,233,752,119,847,450,338,643,
810,924,922,279,197,907,573,070,257,911,581,475,495,594,941,019,700,118,225,
470,963,051,547,854,651,292,432,657,812,307,913,939,083,300,044,963,206,596,
949,694,257,474,828,210,996,925,891,081,276,808,250,652,412,493,372,856,322,
139,300,450,788,131,951,297,069,579,493,239,709,749,357,209,935,952,771,033,
424,296,171,156,560,282,786,199,987,971,293,692,615,432,856,026,387,464,182,
831,879,458,298,706,863,622,092,500,816,436,238,714,605,521,148,299,584,225,
436,888,112,208,298,776,464,831,066,804,407,942,492,845,237,580,918,449,620,
572,941,627,555,124,070,647,481,370,090,036,643,960,064,650,724,730,767,322,
179,680,422,831,554,631,653,847,489,952,353,210,790,351,390,610,864,491,169,
704,646,211,991,843,251,777,066,059,454,527,006,841,884,181,751,443,012,525,
855,716,099,024,515,253,382,884,187,741,626,885,306,335,358,801,410,179,556,
742,090,567,840,227,948,371,419,614,956,727,616,146,864,485,393,056,683,542,
590,353,353,055,449,998,802,044,945,181,144,879,467,907,542,724,718,657,252,
363,680,329,808,900,213,484,058,672,808,244,717,001,729,905,129,964,988,346,
688,603,443,906,795,074,016,729,143,654,726,078,547,843,076,445,346,294,796,
389,638,697,287,155,500,104,819,276,311,399,793,948,383,450,901,386,585,105,
823,788,647,749,743,386,834,702,397,601,702,026,401,555,056,641,619,719,962,
651,106,619,467,768,477,321,434,031,551,274,534,669,545,027,454,282,466,638,
386,435,468,800,954,298,027,637,501,223,490,940,662,361,896,943,694,440,745,
666,103,891,801,729,244,212,931,890,258,554,807,041,880,108,029,592,195,160,
758,480,911,887,684,910,580,454,280,116,871,520,912,629,506,881,748,724,442,
850,922,652,101,579,177,818,388,212,670,988,445,935,801,916,359,261,195,402,
495,779,615,121,100,641,436,432,144,121,840,232,690,108,690,430,687,487,650,
628,592,293,850,892,834,155,128,647,472,791,966,200,558,955,525,045,942,735,
829,951,881,015,528,784,895,796,117,907,058,622,320,755,150,501,537,523,090,
681,768,616,444,618,832,005,152,727,956,000,225,965,971,864,924,292,335,363,
679,722,158,976,216,234,329,646,795,718,416,187,946,001,617,224,181,757,783,
136,498,509,488,320,150,768,510,631,191,090,653,035,594,370,226,718,837,920,
205,697,102,460,216,290,222,806,345,529,275,308,013,205,107,683,208,937,355,
902,233,501,172,540,860,848,711,680,575,305,339,090,030,890,342,556,046,843,
422,048,649,428,830,783,260,491,939,096,102,063,274,826,043,397,753,015,871,
700,260,559,545,743,268,548,966,768,750,486,204,773,513,222,783,265,914,467,
552,907,508,834,038,945,208,858,411,619,468,423,236,119,307,738,689,134,843,
958,873,656,848,620,423,261,885,829,149,837,331,167,855,372,159,482,786,979,
465,057,998,274,709,910,458,921,207,157,011,595,340,593,264,065,587,675,170,
730,440,614,507,856,869,324,458,294,787,157,702,625,163,867,128,835,088,846,
594,842,384,174,780,642,503,859,230,011,010,360,965,103,616,373,002,882,303,
802,171,342,638,685,455,669,044,508,066,017,937,484,057,133,013,556,693,263,
784,005,034,669,888,794,421,048,587,893,853,023,547,610,438,976,883,297,344,
536,552,502,297,811,271,217,202,947,728,262,834,713,704,059,857,322,256,871,
587,490,706,331,305,948,202,457,954,238,120,687,176,770,907,161,403,111,417,
668,422,391,616,386,595,074,476,535,786,147,664,033,232,653,677,218,869,365,
444,969,511,713,155,020,531,015,277,211,978,474,545,902,754,905,314,999,616,
802,389,148,986,512,225,900,731,705,228,420,843,218,955,035,365,721,924,214,
837,035,382,097,689,806,860,741,513,932,257,538,899,282,996,505,056,776,059,
820,749,567,570,443,800,809,206,316,630,852,558,008,112,540,571,777,570,667,
313,362,361,877,087,347,804,821,033,178,533,580,290,747,553,503,802,235,345,
770,392,962,757,606,733,974,744,782,024,670,889,456,394,315,539,192,765,892,
622,956,041,962,879,717,703,176,383,728,034,752,711,872,953,234,381,704,229,
990,194,062,638,848,874,501,044,315,556,652,334,772,290,311,913,874,596,362,
869,415,819,320,568,139,423,087,790,047,485,755,606,422,786,884,969,721,123,
938,638,142,035,831,085,565,593,588,978,130,072,093,326,812,615,705,794,039,
764,841,854,458,297,367,398,822,678,427,219,060,616,365,754,028,997,407,252,
588,618,637,363,873,296,156,197,592,375,936,768,297,193,039,878,400,301,732,
128,177,336,945,625,248,443,954,473,099,302,395,163,432,520,923,179,782,654,
451,818,787,880,142,625,449,016,476,001,068,452,396,913,233,242,562,195,186,
462,375,328,536,264,306,081,802,701,365,225,673,125,951,443,358,392,814,864,
490,525,779,834,453,689,960,418,398,162,214,763,177,824,414,741,151,969,628,
546,650,745,780,609,786,770,261,746,953,803,671,492,293,875,221,189,571,067,
098,159,553,931,905,329,032,699,922,399,536,815,522,308,215,830,258,007,790,
395,511,458,854,909,067,412,388,011,912,627,855,431,561,384,038,437,322,370,
866,638,306,898,595,165,410,520,254,214,195,959,747,358,247,716,724,311,024,
629,919,600,282,053,558,337,465,795,909,214,797,064,966,322,223,920,648,942,
851,878,312,220,089,684,924,697,471,178,191,533,108,557,891,523,237,679,029,
028,518,560,772,496,283,319,434,537,930,777,352,756,170,974,271,325,239,387,
928,920,383,170,375,911,072,029,497,350,211,984,087,085,956,484,285,189,189,
537,441,935,551,089,296,342,447,901,663,398,681,338,255,484,302,459,744,760,
828,906,297,474,912,108,765,789,580,676,465,572,010,624,189,804,412,412,177,
012,328,059,404,158,026,709,939,106,608,138,308,278,647,334,668,078,177,082,
039,207,400,430,748,265,368,190,576,471,268,545,070,091,069,435,525,183,274,
858,639,324,719,579,322,359,720,792,157,028,957,916,173,099,199,238,171,310,
515,495,864,956,066,813,962,649,625,374,115,068,933,206,893,027,420,696,703,
487,762,849,665,329,319,594,359,969,974,844,160,565,621,598,674,021,024,639,
753,383,367,487,240,053,824,164,436,310,838,702,743,162,175,209,631,776,169,
427,743,194,988,604,517,894,151,173,689,290,968,518,309,013,569,431,594,956,
119,455,800,239,281,152,968,920,135,727,935,702,086,957,872,812,295,510,787,
820,565,197,743,444,170,777,063,303,881,018,333,278,106,293,261,062,690,309,
893,007,474,642,550,554,462,755,884,728,117,709,376,624,040,221,945,614,379,
712,249,838,456,329,865,171,233,108,864,619,469,802,342,057,091,823,456,262,
754,761,664,903,423,806,046,100,706,282,928,252,544,084,321,338,131,244,240,
615,049,670,861,407,256,831,617,248,999,210,229,504,843,298,672,303,404,893,
820,562,933,252,513,123,437,758,894,981,765,726,295,030,598,401,886,082,529,
654,397,643,027,166,830,216,298,340,224,421,998,709,345,517,125,995,559,225,
759,547,000,884,800,746,790,621,585,661,616,891,102,737,596,913,596,891,425,
456,609,320,120,004,335,590,595,199,887,770,543,177,405,163,972,119,629,005,
399,473,704,051,462,306,580,434,621,904,568,416,176,755,620,436,598,421,194,
437,194,976,570,355,037,589,869,354,801,030,812,805,198,672,244,786,604,135,
104,693,690,265,225,704,014,386,005,179,513,368,618,425,651,006,746,923,501,
348,196,787,985,921,721,519,819,957,181,608,551,922,505,163,190,721,793,961,
992,713,715,811,075,355,693,253,821,585,946,347,485,183,776,423,219,264,507,
770,351,607,142,465,897,697,497,716,181,716,240,987,151,380,852,672,361,066,
997,577,357,301,168,824,665,979,752,131,162,838,971,157,155,240,525,388,053,
275,441,875,601,942,605,096,169,585,432,784,351,499,672,638,878,461,848,343,
449,847,257,947,503,649,102,035,179,397,283,086,487,894,744,170,349,834,214,
828,512,618,330,765,781,270,057,022,479,986,164,832,592,663,797,655,482,472,
967,565,319,682,779,889,736,776,976,213,780,714,782,026,656,063,546,384,999,
075,450,888,818,244,363,236,604,551,349,750,724,023,861,567,001,012,668,652,
969,941,099,254,927,837,942,924,020,724,327,299,436,808,236,461,288,174,997,
959,553,113,764,844,587,623,087,594,947,198,149,372,803,309,913,231,001,594,
836,663,199,095,135,934,468,677,760,690,443,594,386,490,398,524,515,706,862,
036,439,102,370,505,013,891,281,395,320,491,477,937,963,226,354,809,021,985,
574,977,030,477,275,354,021,093,777,680,525,732,849,916,862,099,042,486,196,
913,094,696,005,258,790,675,791,038,950,217,900,839,524,829,207,276,864,931,
969,305,854,518,847,168,382,880,736,006,150,423,334,882,045,256,149,628,040,
076,553,193,905,170,958,900,088,226,194,511,512,580,306,144,502,154,254,969,
106,605,160,198,666,629,100,170,585,890,789,346,752,063,025,864,226,709,408,
225,585,453,805,302,665,898,931,665,661,488,481,219,146,308,054,532,404,942,
184,498,706,985,291,538,514,129,411,376,611,221,024,637,701,481,920,156,966,
103,559,910,408,649,652,757,701,920,702,126,600,996,696,791,828,520,270,333,
313,103,633,370,736,056,102,990,353,822,604,346,137,580,605,502,137,339,492,
733,039,675,602,507,984,968,304,317,582,362,459,640,692,967,735,523,240,689,
718,849,519,850,338,264,532,609,397,682,029,491,522,844,647,149,952,309,492,
259,811,427,394,193,539,760,721,767,805,932,831,684,922,025,603,349,863,660,
235,319,487,459,409,241,271,855,316,401,091,110,604,091,036,898,440,589,595,
040,769,319,381,637,777,337,778,664,929,469,283,163,706,833,594,030,025,537,
505,817,766,784,124,089,415,297,839,278,828,091,906,879,820,569,708,557,674,
326,476,610,093,919,925,360,626,019,998,811,241,970,643,704,933,612,428,587,
004,147,732,504,650,561,592,113,493,964,312,767,527,867,424,022,333,253,965,
769,403,780,421,370,530,339,959,154,633,704,774,504,696,962,614,378,468,405,
032,287,015,523,954,830,554,770,891,978,386,198,007,617,824,722,782,500,241,
661,588,677,073,667,262,544,961,660,566,317,533,704,221,634,441,971,324,704,
302,142,410,072,043,724,975,219,860,565,737,137,654,771,072,050,653,648,165,
683,548,161,121,334,700,642,422,161,285,833,411,379,402,601,427,492,958,821,
230,582,172,875,723,478,412,678,564,867,900,593,659,690,114,283,191,108,784,
568,529,303,589,371,371,285,487,173,580,456,947,381,066,409,682,334,548,250,
023,562,150,119,504,281,319,867,644,181,157,577,391,271,182,851,330,430,359,
357,354,564,212,757,089,810,568,649,413,212,369,063,439,527,025,758,338,957,
144,532,194,542,991,545,268,289,449,031,798,546,135,774,035,556,237,918,383,
838,553,322,711,692,794,245,596,558,920,321,519,131,788,117,899,994,446,025,
487,479,760,559,704,455,084,469,451,485,855,242,883,259,600,531,525,557,935,
725,333,959,118,258,088,085,495,708,966,259,308,041,740,717,462,680,241,106,
295,890,555,658,707,775,432,423,669,078,019,586,903,591,569,535,784,580,854,
408,925,713,164,996,977,941,146,580,448,311,483,527,437,477,670,674,933,306,
287,667,049,225,871,681,659,789,005,621,236,217,493,285,127,975,962,459,123,
140,264,899,576,606,137,769,169,917,504,885,719,715,620,276,001,454,724,492,
296,632,141,199,235,794,999,743,118,721,504,760,360,151,743,290,878,770,625,
628,924,643,376,576,996,234,832,126,632,608,636,210,072,520,966,925,151,770,
976,171,364,353,993,210,905,974,370,627,233,657,342,080,302,125,130,348,321,
541,339,999,923,239,533,823,877,808,876,527,926,340,807,681,864,049,488,407,
318,327,804,759,250,906,706,916,620,489,239,668,047,123,401,887,976,633,979,
364,838,737,151,509,174,263,168,859,727,609,653,409,226,117,325,747,139,913,
270,343,469,752,022,617,099,737,054,254,118,171,384,875,608,122,035,912,781,
672,888,405,947,765,505,004,173,150,579,507,876,554,211,348,475,656,119,693,
937,866,470,478,144,489,705,430,987,827,218,263,464,439,974,295,059,776,155,
465,314,776,493,264,949,819,698,722,043,499,051,655,717,657,487,033,569,019,
214,247,146,040,552,748,282,768,716,790,207,801,975,924,212,719,978,440,785,
701,143,778,237,465,374,409,933,113,895,806,339,605,955,927,332,606,781,965,
151,774,352,039,337,839,406,915,029,978,504,712,830,376,751,570,442,069,592,
670,892,687,263,843,651,592,992,112,899,883,732,604,776,756,655,318,381,532,
589,899,484,039,165,432,238,351,236,711,200,146,920,771,548,065,302,142,410,
822,446,197,389,824,358,116,061,657,795,777,558,467,497,327,520,721,714,056,
742,912,946,319,564,510,905,915,820,033,778,308,690,993,002,716,624,073,690,
519,409,530,956,419,044,493,002,024,914,689,914,252,214,451,459,565,535,548,
907,512,140,078,954,507,351,064,156,164,042,869,462,516,397,862,840,113,255,
151,013,098,902,078,883,444,544,884,244,533,918,356,885,117,417,735,655,296,
069,438,516,400,585,752,099,167,432,926,300,182,483,188,214,661,832,617,890,
951,679,157,973,932,129,094,865,061,090,732,247,136,264,381,447,454,660,517,
243,793,559,583,378,561,594,105,975,750,805,913,368,613,799,215,805,272,666,
674,185,010,647,718,637,815,449,910,570,369,937,799,123,185,903,261,132,332,
267,440,087,405,119,825,763,636,279,029,309,794,370,431,268,729,077,748,903,
218,924,386,988,129,773,326,410,289,704,415,635,502,995,124,570,398,238,609,
909,412,511,554,045,527,059,764,561,794,416,156,700,440,748,088,246,310,195,
160,628,870,750,421,386,099,903,699,301,073,149,129,105,672,602,472,218,388,
301,954,739,633,729,346,351,050,984,391,867,032,040,756,177,127,074,527,691,
922,379,627,224,066,940,201,773,408,248,777,545,135,756,871,181,583,962,044,
615,495,218,465,199,778,983,471,303,380,085,987,616,824,882,861,759,891,810,
090,187,247,007,833,916,052,961,875,934,170,797,230,623,467,715,737,782,655,
066,069,363,151,299,098,051,920,482,646,250,446,645,804,232,706,835,434,139,
349,069,499,884,480,321,041,953,392,631,808,618,125,813,079,066,795,757,202,
654,970,759,863,909,323,717,942,589,320,961,537,872,132,208,375,167,696,839,
130,010,988,378,749,565,491,162,209,277,976,931,651,454,041,207,377,098,577,
456,817,670,405,305,845,605,696,890,591,390,996,887,638,884,340,284,544,368,
654,260,007,018,509,718,995,121,474,559,996,140,356,366,983,369,257,062,375,
657,615,018,880,685,052,202,314,814,428,074,422,235,904,908,265,112,469,553,
004,487,067,824,023,019,732,566,887,704,682,207,111,135,554,859,748,600,336,
688,696,552,205,202,733,528,911,318,802,002,452,118,730,338,738,833,971,583,
583,637,668,296,799,168,373,390,632,351,507,456,598,151,446,937,773,947,452,
098,200,391,756,269,355,347,173,919,942,329,359,535,044,782,699,008,869,653,
413,065,128,848,753,120,148,118,556,348,607,471,608,888,256,365,530,849,669,
928,128,099,551,520,503,774,753,473,640,827,465,315,478,563,468,057,319,482,
885,108,489,788,479,765,326,524,464,523,842,022,221,347,216,502,940,076,699,
958,706,457,624,641,657,682,042,825,513,159,953,452,671,900,190,137,227,975,
650,794,886,544,970,740,163,786,595,160,644,646,013,448,989,423,248,109,605,
229,780,176,500,494,311,019,054,182,939,582,006,697,554,298,184,179,166,851,
552,833,512,218,365,523,765,285,075,670,959,801,344,598,387,290,111,599,474,
993,105,228,930,186,664,838,754,218,830,923,992,633,111,266,924,486,964,492,
028,612,371,228,052,160,636,388,721,817,418,631,881,177,202,829,738,822,821,
387,574,021,590,034,685,606,133,259,908,738,948,428,413,503,132,621,455,460,
666,597,777,983,853,164,843,609,432,128,445,289,142,233,453,165,192,151,742,
321,263,808,362,365,517,493,546,628,631,736,157,421,311,271,263,927,545,414,
920,751,737,057,303,761,120,269,449,034,338,314,983,545,131,100,863,639,572,
688,310,987,341,134,628,738,808,273,438,534,220,271,479,199,271,859,303,814,
916,488,715,644,090,512,048,441,890,857,832,924,388,160,282,392,774,744,545,
813,914,734,745,341,947,976,821,094,831,341,521,240,452,589,148,231,747,504,
251,478,363,132,885,748,072,556,680,428,132,114,280,995,620,565,174,425,350,
959,369,983,452,984,167,393,620,081,526,420,603,963,703,993,055,827,992,638,
734,561,110,252,357,413,989,164,038,070,552,512,027,294,069,246,663,456,527,
104,881,835,726,385,518,378,533,086,745,855,387,155,609,695,929,193,711,019,
889,098,292,297,924,356,006,179,565,622,318,401,247,065,650,150,123,011,180,
874,478,070,910,095,759,310,700,146,939,570,362,332,420,689,300,002,223,713,
885,199,589,494,964,127,526,035,243,128,364,072,525,117,314,335,909,947,304,
698,750,094,528,296,554,919,835,803,213,420,770,990,910,816,697,511,549,781,
112,447,888,183,903,500,005,099,080,547,248,250,451,238,903,444,308,144,720,
615,105,101,742,859,575,624,458,193,278,003,980,002,605,424,467,613,892,097,
828,523,696,711,814,298,037,777,048,835,102,799,914,547,307,030,874,470,984,
093,327,872,764,590,522,815,832,720,123,583,202,226,764,850,801,837,940,127,
474,361,457,647,208,165,086,594,509,667,504,405,561,419,786,271,602,728,819,
809,192,196,501,183,512,949,227,207,259,408,127,376,365,434,784,557,797,498,
461,863,278,251,022,741,472,214,465,729,310,525,324,530,056,663,700,216,282,
036,981,423,062,286,213,904,082,341,177,938,917,214,284,439,498,684,921,879,
245,371,952,072,528,044,904,331,877,990,729,417,042,322,046,090,015,858,794,
534,133,687,704,435,865,691,600,791,618,286,995,398,445,508,556,397,616,555,
592,004,625,484,360,456,382,323,136,696,035,395,054,445,302,470,799,215,132,
104,329,568,445,612,477,880,489,790,453,116,004,390,567,091,557,136,696,662,
560,739,332,733,645,725,747,396,372,826,049,771,744,176,595,835,404,803,983,
884,081,900,539,708,974,185,973,190,850,772,438,416,239,864,336,272,995,754,
405,817,833,018,779,931,667,255,851,445,217,623,947,269,568,169,645,856,564,
180,481,465,462,804,703,856,469,345,133,410,361,217,119,086,716,568,874,062,
587,338,262,324,757,717,717,480,793,172,043,919,654,456,836,000,995,983,149,
999,710,283,768,943,347,318,633,627,613,146,862,932,973,120,377,262,252,098,
036,940,337,129,037,823,056,765,526,060,498,757,593,574,833,788,458,475,191,
104,789,522,035,777,978,374,890,053,774,389,791,735,760,436,998,744,982,021,
235,802,517,855,729,768,173,209,452,196,432,897,151,007,522,366,178,298,178,
492,672,033,250,834,268,934,121,311,424,565,275,916,874,077,990,350,821,620,
939,439,862,423,023,275,101,905,125,057,159,909,052,196,202,717,198,006,188,
383,998,066,446,896,598,905,926,965,572,119,101,897,637,155,074,393,599,238,
233,682,249,506,387,694,783,014,096,544,620,428,238,969,377,174,526,041,012,
535,089,317,131,995,981,340,928,281,414,613,904,347,311,700,403,543,330,273,
725,164,634,889,484,000,241,867,050,038,743,314,444,724,060,646,864,854,810,
307,851,210,884,779,892,072,471,497,522,981,060,308,381,554,745,208,398,037,
821,899,583,323,314,528,917,982,397,611,754,822,699,221,918,558,657,728,843,
145,072,725,149,797,330,336,795,649,280,254,986,224,515,572,764,057,827,960,
355,484,326,910,478,246,773,657,602,998,462,082,316,228,668,984,858,980,052,
005,577,062,594,872,600,005,314,946,020,501,070,584,037,442,440,844,682,559,
981,693,864,514,143,939,321,171,990,039,539,114,294,759,363,817,992,773,345,
673,886,282,394,445,936,827,123,477,788,007,957,169,203,194,652,345,486,702,
325,587,910,693,581,429,242,928,562,322,874,063,659,388,558,404,535,147,407,
940,671,285,869,349,970,663,080,352,264,309,266,717,526,757,748,262,673,018,
745,880,129,710,683,861,483,990,309,715,187,769,766,657,744,469,309,536,399,
724,823,496,203,424,182,185,821,955,089,636,737,286,454,082,566,387,876,832,
296,796,232,778,425,618,369,995,159,926,161,326,447,937,102,297,538,722,276,
249,313,100,164,939,271,476,512,684,383,027,134,956,159,543,685,972,208,852,
545,143,465,922,671,804,734,094,006,630,318,608,440,063,995,387,003,703,211,
472,991,689,885,858,178,985,655,720,852,454,968,201,365,063,726,025,805,825,
826,654,585,273,950,315,736,489,991,907,523,695,891,347,944,432,812,643,189,
973,607,917,955,239,816,734,978,883,970,300,102,157,448,762,406,497,673,603,
651,591,178,821,536,002,827,926,093,557,508,471,781,272,543,284,195,653,121,
960,358,799,440,125,990,171,253,847,559,870,999,155,186,380,174,973,863,157,
833,671,611,015,191,755,507,135,965,783,607,386,688,645,754,566,290,018,644,
937,800,463,382,671,538,265,458,883,367,400,196,748,771,549,289,113,946,844,
832,100,160,057,921,686,399,896,302,790,049,802,169,460,514,089,799,212,095,
783,255,327,493,313,316,885,212,886,054,527,397,826,075,736,425,714,191,311,
223,026,762,123,577,944,923,187,567,922,050,160,170,335,367,218,930,391,009,
223,287,577,381,247,200,587,288,057,623,868,515,174,531,538,972,473,752,596,
152,307,927,173,466,767,944,305,858,494,961,164,987,428,253,213,346,882,860,
787,367,697,044,453,222,415,222,907,789,187,210,928,317,713,638,904,309,145,
003,443,793,146,965,019,598,230,806,980,011,863,802,984,272,348,041,238,577,
619,555,713,059,454,025,114,768,222,724,899,831,261,087,590,272,472,007,274,
249,455,912,795,041,625,999,440,551,878,613,084,182,158,315,803,675,112,737,
212,426,912,587,139,806,589,704,113,230,040,686,453,656,392,127,109,755,612,
834,136,925,339,250,903,110,803,834,620,526,237,923,427,723,770,706,956,962,
745,594,707,649,117,656,208,037,252,000,821,460,613,909,268,501,361,484,746,
025,918,272,217,580,135,661,436,346,396,954,214,367,181,653,887,108,689,602,
027,741,480,853,925,387,027,231,324,529,147,171,454,589,426,676,975,759,068,
055,561,883,715,892,329,208,703,167,721,680,829,264,084,390,083,409,001,340,
139,064,901,625,966,559,556,306,159,308,503,367,218,161,414,799,887,473,708,
973,649,334,899,842,239,898,748,817,616,889,559,753,119,627,762,677,485,839,
346,523,105,495,627,826,670,388,806,577,242,880,446,358,572,427,241,522,978,
530,329,213,955,108,763,062,390,872,988,798,107,731,159,409,600,704,437,656,
278,952,308,720,051,407,108,012,477,222,208,998,008,129,452,980,193,467,653,
611,397,787,221,314,101,343,689,919,627,029,266,249,077,619,842,733,409,859,
627,948,925,041,959,550,568,205,814,826,985,040,495,857,692,729,823,524,133,
110,576,591,135,387,598,642,640,402,752,275,168,485,217,570,992,370,823,831,
712,634,295,585,719,753,597,308,217,576,443,266,373,483,925,420,099,306,988,
635,407,915,725,935,119,853,445,968,759,996,795,312,646,507,331,848,259,492,
225,288,392,040,266,804,295,758,103,784,972,803,189,639,221,138,599,542,712,
299,198,412,282,648,538,408,302,804,612,419,984,403,744,771,781,455,745,786,
732,150,413,749,221,521,409,455,725,596,280,365,550,147,203,959,263,726,644,
897,979,076,719,581,655,213,992,256,553,573,188,822,422,043,911,995,119,130,
419,580,292,268,318,816,878,698,149,309,706,433,950,014,551,192,858,323,298,
403,309,739,579,289,150,796,676,865,123,123,581,732,211,634,966,897,813,436,
929,381,858,160,324,189,211,445,132,050,956,577,911,655,878,900,708,223,072,
873,235,184,855,537,463,691,658,808,200,608,155,943,344,051,144,083,010,978,
184,843,117,621,809,095,046,682,509,651,764,979,977,903,377,194,867,417,461,
703,961,560,334,199,555,429,771,870,687,092,378,509,411,208,682,804,249,647,
683,231,763,437,240,475,526,738,955,622,543,225,238,377,097,424,182,492,202,
552,592,005,820,286,086,848,670,940,910,325,994,526,511,176,852,626,201,207,
077,428,942,770,915,366,777,530,782,498,985,755,105,834,648,919,662,127,641,
719,918,480,908,596,463,218,362,954,005,449,312,846,234,002,271,003,573,724,
835,401,710,796,671,345,885,219,497,808,587,778,612,421,777,935,026,909,539,
910,522,875,570,898,190,506,115,689,268,937,041,980,164,748,372,226,033,340,
178,405,283,150,196,916,259,962,156,769,484,657,483,780,856,628,775,854,917,
345,355,929,466,941,057,811,942,858,892,737,950,456,809,438,862,868,875,415,
780,014,078,871,095,387,321,964,317,026,393,656,179,995,078,640,229,782,689,
033,354,554,036,941,668,298,432,309,738,154,502,232,283,955,278,225,322,648,
763,369,034,798,147,176,011,637,585,120,726,911,880,473,371,399,714,575,503,
221,604,061,769,723,240,202,748,420,525,498,786,615,911,031,491,664,189,507,
700,403,284,256,338,705,590,015,151,242,719,189,896,213,151,469,406,612,648,
890,836,834,179,087,005,294,273,996,544,784,013,584,060,288,527,902,001,750,
747,839,873,077,891,109,426,127,719,596,380,801,931,535,107,207,151,122,857,
906,570,986,564,241,907,705,996,272,713,877,924,040,830,540,713,485,512,198,
445,261,453,991,818,725,485,852,067,035,546,841,839,059,043,464,920,466,589,
914,225,199,514,289,667,623,517,139,146,357,438,046,766,941,702,309,082,569,
984,609,196,060,936,210,008,289,159,884,723,476,756,736,843,829,562,128,107,
128,110,175,822,718,595,097,035,063,302,026,881,900,805,324,056,549,953,852,
060,852,594,973,428,306,757,890,496,265,933,952,293,702,582,665,587,706,265,
332,037,016,194,491,454,080,885,400,952,813,418,220,367,181,786,193,387,795,
142,317,874,491,425,383,202,392,278,293,911,635,531,880,171,506,481,662,173,
248,494,159,384,581,938,953,025,973,450,466,307,735,112,137,308,157,477,567,
306,567,802,380,577,368,864,557,993,371,969,094,513,418,016,634,656,371,309,
718,839,661,629,350,096,292,770,901,033,228,192,954,362,399,975,137,363,218,
245,834,250,815,387,230,415,518,664,936,296,589,706,255,245,081,981,433,642,
049,637,508,903,286,914,719,741,304,709,477,331,410,132,682,889,589,195,638,
774,653,154,948,111,780,837,256,585,647,344,513,943,686,509,528,869,080,610,
414,159,258,950,486,483,300,967,827,709,272,712,787,689,011,967,924,327,523,
865,226,983,097,318,128,312,633,159,855,251,478,339,208,428,294,971,719,116,
936,416,682,718,664,088,906,267,229,412,293,219,851,100,374,007,224,057,973,
082,920,144,988,961,266,065,522,337,912,754,120,625,156,422,679,183,285,721,
778,338,234,356,205,966,694,481,328,654,677,151,896,987,049,522,454,056,637,
660,395,038,012,959,689,569,987,430,449,741,482,136,776,230,539,806,918,435,
997,817,695,037,790,904,995,830,066,655,838,664,550,846,936,353,800,474,895,
046,934,303,630,087,298,847,588,345,939,430,551,111,200,656,381,928,723,976,
162,240,314,221,674,980,253,589,193,132,364,745,743,948,177,341,499,790,726,
165,080,350,007,111,477,038,004,572,942,397,807,618,515,592,548,617,663,015,
362,102,218,506,063,909,530,812,927,620,408,664,271,785,502,496,322,772,899,
076,863,838,746,731,384,887,955,594,139,486,479,341,212,179,986,669,968,867,
733,911,530,931,877,981,000,344,862,398,403,534,016,107,392,304,514,969,155,
763,700,728,830,172,528,721,237,320,637,013,011,941,766,133,584,243,359,429,
182,158,229,438,388,438,817,346,781,127,951,292,465,280,172,468,771,576,422,
704,915,147,393,576,542,541,285,834,908,287,687,581,391,417,507,596,215,638,
868,079,042,581,197,596,504,964,031,121,265,164,510,003,949,969,970,518,674,
326,567,166,647,227,745,137,932,469,607,066,217,755,580,582,644,959,852,803,
160,978,602,408,247,243,917,940,199,527,594,168,616,793,931,701,867,083,950,
719,756,173,904,063,721,204,925,467,362,282,581,474,587,853,052,734,742,540,
082,798,688,904,485,713,766,491,163,956,160,561,787,670,784,914,273,318,620,
977,736,704,901,042,615,908,913,947,013,006,610,293,144,403,462,148,490,386,
218,860,899,183,515,216,212,859,995,042,180,373,043,243,068,883,810,562,033,
569,707,554,603,733,504,852,522,171,922,654,840,638,865,574,076,998,837,876,
414,146,878,113,490,670,922,456,393,328,754,713,986,831,850,108,720,227,242,
221,439,754,348,813,969,194,188,738,804,564,211,378,152,642,414,303,638,669,
122,066,892,871,004,083,310,126,886,702,672,208,603,754,319,570,622,733,465,
790,419,935,639,025,124,563,957,820,583,524,665,931,944,384,589,388,218,018,
529,500,026,886,032,267,173,260,213,043,036,945,888,727,605,113,431,665,591,
812,475,748,749,512,864,716,694,485,552,197,682,982,066,944,793,422,793,869,
411,772,978,748,869,653,630,111,747,802,364,789,190,949,719,749,144,033,310,
650,370,280,030,430,720,979,698,771,570,348,127,727,098,439,423,722,442,973,
230,205,788,417,320,098,440,821,815,148,042,407,990,347,658,817,396,965,787,
989,179,276,618,458,418,609,478,665,047,803,361,069,132,189,610,315,879,021,
434,497,162,713,381,032,832,018,108,685,166,928,902,042,276,580,555,064,971,
845,801,486,064,692,813,902,032,734,139,440,201,538,259,132,192,878,686,998,
794,595,906,518,609,725,654,028,372,299,237,155,381,111,141,196,490,203,693,
623,074,735,887,176,642,726,603,990,378,692,759,905,599,258,146,692,032,088,
445,751,495,240,264,468,036,688,918,399,971,369,154,627,841,460,544,744,015,
692,454,937,727,864,728,110,643,847,636,827,543,075,191,674,238,875,995,889,
336,406,919,284,020,817,312,182,340,825,077,395,985,664,327,241,232,935,883,
103,509,043,611,328,303,614,684,994,568,591,581,575,454,534,073,016,251,708,
778,027,866,981,411,782,314,553,795,766,323,200,092,690,732,572,930,169,094,
923,964,815,212,182,912,905,235,622,820,243,315,813,727,921,200,269,758,270,
832,839,655,482,217,965,379,529,571,455,535,918,268,016,307,581,331,014,327,
080,264,339,315,339,950,203,069,604,430,503,453,688,757,292,627,086,925,318,
539,095,738,881,882,710,624,554,320,683,129,956,961,442,344,213,072,087,446,
657,448,029,418,068,395,652,766,722,988,227,807,490,505,033,238,423,898,647,
190,938,700,739,354,052,733,944,268,035,927,803,169,212,140,261,488,160,723,
208,407,015,216,878,484,126,240,501,199,512,015,648,234,344,237,273,017,552,
562,666,517,875,367,299,306,127,125,925,500,042,115,758,627,054,455,070,923,
356,572,753,257,706,529,190,485,678,932,841,810,051,555,758,874,731,185,113,
908,852,100,090,713,721,127,769,859,696,283,516,509,720,097,042,041,616,979,
153,612,841,630,739,701,998,368,834,621,738,314,887,246,275,197,905,951,467,
307,972,743,391,509,434,726,763,211,100,821,603,476,384,299,511,334,251,777,
167,731,885,339,822,374,674,323,666,900,370,169,718,676,402,440,536,732,524,
290,401,732,440,692,701,232,290,209,842,603,849,692,561,686,408,362,187,316,
073,534,132,601,962,013,893,238,452,443,130,292,052,614,716,783,322,855,078,
166,031,535,395,816,970,640,507,197,493,682,716,489,220,697,753,068,062,590,
506,665,508,355,833,402,862,446,894,343,471,023,797,102,142,167,735,440,260,
401,825,655,053,604,460,869,863,510,680,979,997,768,469,049,979,480,851,071,
154,729,137,746,346,461,128,695,296,297,660,919,673,901,563,898,989,900,140,
747,307,836,393,975,185,339,038,525,978,390,087,477,784,023,975,187,013,122,
956,460,282,385,555,857,960,637,467,408,108,898,287,814,114,115,436,850,260,
275,274,588,420,311,730,583,907,386,313,955,851,094,344,969,282,651,737,268,
415,751,570,189,583,768,256,801,542,320,026,783,888,963,422,726,222,434,225,
706,072,435,823,720,529,764,168,126,730,822,845,813,243,476,603,367,995,673,
089,641,025,679,729,021,179,969,165,372,704,815,003,493,514,838,224,774,533,
050,788,088,379,368,524,979,124,851,830,980,106,378,410,500,713,532,670,451,
203,018,181,937,430,476,418,442,132,561,191,158,541,807,165,491,775,557,057,
455,906,977,698,050,588,245,582,580,671,546,141,842,472,547,450,265,962,995,
171,393,680,999,740,621,838,268,324,430,110,027,626,047,084,380,823,590,452,
028,972,901,298,831,920,221,226,405,794,485,819,320,288,694,479,331,245,667,
078,302,015,345,853,127,101,466,478,956,171,846,907,032,907,089,635,665,015,
387,970,998,668,987,232,175,363,526,266,516,981,365,682,706,610,852,416,640,
294,043,901,786,660,162,468,452,631,023,804,248,616,360,783,223,208,054,281,
915,936,283,836,864,395,974,212,919,073,803,196,154,319,176,453,426,500,147,
274,769,530,271,985,132,086,708,363,370,652,431,401,834,190,124,706,051,196,
500,432,848,715,659,398,305,081,216,493,389,250,433,095,083,842,550,156,103,
541,367,205,488,067,132,553,421,011,813,696,092,930,669,404,522,553,364,824,
126,517,351,813,712,530,359,466,509,137,906,904,073,836,615,614,365,797,708,
559,211,365,844,121,724,155,834,319,373,429,287,606,331,835,469,738,292,551,
465,384,939,048,679,731,308,067,507,647,319,713,192,853,112,326,808,668,491,
734,232,339,513,869,674,468,672,015,852,957,144,420,705,914,602,238,513,321,
290,932,122,337,357,087,938,922,511,130,538,559,831,097,609,540,977,918,045,
228,717,319,703,264,705,351,724,848,577,716,518,540,668,466,791,509,299,816,
129,836,020,251,899,489,086,508,953,839,156,635,365,346,553,414,581,781,515,
058,335,834,748,055,965,229,185,311,327,112,155,854,013,831,376,949,213,945,
900,574,188,405,625,969,310,986,482,710,271,709,364,105,612,646,460,058,836,
874,635,572,010,643,383,008,704,771,289,533,047,312,844,712,883,342,043,963,
839,862,185,016,512,462,258,447,234,911,318,372,666,007,562,855,352,694,335,
061,034,530,038,920,109,305,297,512,862,760,374,208,802,217,994,024,284,198,
391,809,489,440,079,165,830,521,987,585,476,289,898,181,407,024,663,486,462,
619,681,088,183,168,429,066,631,500,048,580,317,866,717,911,588,502,243,760,
551,757,196,839,325,981,670,670,880,691,146,226,237,692,510,792,864,930,886,
739,477,070,502,150,678,635,710,809,498,645,262,788,534,533,469,332,745,593,
509,106,405,312,203,997,419,194,510,430,786,542,710,468,137,440,418,785,044,
062,987,500,760,576,071,633,756,296,554,355,040,246,010,086,953,699,921,551,
402,925,225,983,154,699,756,542,707,268,002,352,923,124,603,459,529,159,973,
725,797,722,520,552,254,474,531,498,854,135,154,407,833,533,883,693,945,235,
902,408,915,169,175,801,285,569,070,929,613,460,402,130,597,550,698,428,686,
125,497,960,246,346,455,612,384,403,248,453,281,451,893,149,517,456,047,235,
371,417,850,912,095,930,297,778,385,429,554,584,684,560,895,241,755,057,781,
272,542,184,285,650,510,991,020,594,604,037,394,022,309,449,350,280,001,545,
085,811,923,010,378,591,631,107,113,076,009,538,405,426,305,008,956,523,112,
335,253,346,711,959,662,378,614,893,541,706,181,446,090,112,389,371,904,361,
975,229,909,028,934,208,466,949,096,906,510,332,735,647,790,166,582,791,685,
771,856,877,690,073,467,982,958,780,489,235,126,952,550,624,367,296,267,681,
014,321,301,623,485,539,710,466,755,597,731,697,500,357,921,149,127,328,836,
999,873,853,754,180,108,267,064,324,713,666,738,245,037,963,122,215,454,795,
099,198,755,205,017,765,551,979,453,120,309,523,477,789,274,105,263,166,589,
982,232,008,924,242,079,330,671,754,215,816,736,999,416,951,464,479,809,895,
795,988,478,181,639,988,530,657,209,296,331,481,565,168,401,691,911,449,282,
552,877,946,308,978,457,361,018,052,997,901,997,701,173,406,824,661,759,153,
245,039,186,159,403,468,856,747,000,155,555,098,227,858,261,618,546,832,376,
534,023,182,958,303,908,559,051,677,224,631,160,454,790,708,286,618,371,329,
241,654,977,692,309,487,353,340,036,269,781,721,990,463,744,830,416,915,701,
477,936,772,787,500,589,328,920,308,187,778,214,198,810,319,526,982,833,617,
937,228,569,285,397,831,719,152,144,774,451,147,871,108,905,299,243,588,391,
293,494,096,233,069,824,753,828,806,313,133,955,626,062,906,957,321,188,829,
769,774,689,454,489,661,558,626,200,285,162,668,190,552,346,572,572,326,387,
278,220,308,412,789,511,955,552,576,037,136,737,642,018,326,613,982,088,746,
275,261,740,445,424,560,013,271,048,240,107,995,777,313,168,080,487,649,916,
120,819,801,426,572,000,241,787,364,565,137,454,105,772,472,624,406,178,266,
406,683,995,529,658,379,162,009,731,572,179,893,404,268,454,505,111,936,303,
887,057,028,335,268,399,769,915,141,402,545,044,200,280,690,822,204,637,051,
936,925,382,886,713,649,815,505,495,211,721,217,848,165,503,966,048,845,406,
173,688,417,575,510,204,462,859,864,295,570,708,408,868,992,411,799,844,765,
791,474,989,688,989,452,476,651,753,508,220,272,113,150,720,363,776,919,783,
510,652,681,491,126,398,092,818,714,571,514,842,400,727,133,981,496,214,518,
656,886,058,420,637,739,815,838,958,416,898,937,108,842,918,672,032,684,862,
039,756,134,713,244,154,476,235,571,902,233,993,740,314,453,554,727,728,538,
298,820,015,249,781,118,241,313,008,528,463,287,649,304,143,552,888,317,608,
214,977,239,024,565,438,649,936,169,432,698,480,617,939,180,154,728,120,590,
999,876,124,990,523,066,751,922,310,082,514,503,283,992,705,284,793,469,992,
150,546,348,488,363,165,895,263,786,186,329,741,525,430,665,939,074,400,936,
676,563,143,221,016,157,081,922,009,246,824,955,926,557,806,353,641,525,994,
412,468,667,026,829,310,172,201,079,564,457,014,784,608,023,887,754,538,525,
893,975,876,227,730,170,860,632,100,702,242,262,508,006,527,960,364,513,450,
341,479,617,511,647,329,461,738,048,323,743,831,854,019,800,301,195,463,974,
388,450,370,749,900,982,720,084,411,655,019,339,642,134,851,035,550,238,704,
075,778,246,772,161,794,114,813,547,449,015,097,073,084,719,078,719,558,471,
981,935,836,110,763,394,850,528,753,857,750,622,044,077,454,502,566,408,426,
750,242,155,767,635,999,346,200,396,522,692,673,804,030,064,011,228,365,875,
896,174,197,444,301,391,666,586,815,802,580,676,086,638,750,484,713,189,953,
096,124,592,640,765,390,421,768,850,340,794,708,277,803,810,745,355,932,048,
153,569,908,803,089,955,476,438,993,032,641,041,905,493,095,078,320,742,929,
632,962,712,201,189,610,758,694,256,639,277,484,402,147,461,690,260,076,426,
523,974,742,467,607,904,115,970,999,199,427,916,361,833,003,071,561,321,139,
596,415,333,964,913,695,776,709,577,644,129,979,571,763,093,355,716,001,937,
858,739,538,846,164,940,990,125,733,806,815,588,856,460,819,617,529,494,416,
109,552,289,161,039,375,067,768,410,820,150,907,505,540,057,989,878,143,577,
084,939,518,989,460,211,358,670,637,043,600,055,201,269,311,526,443,232,448,
526,787,861,760,399,819,288,383,371,715,179,285,866,112,035,754,119,144,476,
940,723,931,617,980,415,213,744,406,533,725,463,033,644,392,418,272,360,290,
778,476,774,787,190,360,907,998,805,083,454,589,464,484,542,241,987,160,079,
025,359,945,452,055,102,168,633,176,983,046,782,022,699,408,528,173,221,618,
574,372,141,887,020,283,955,332,409,571,741,598,391,323,603,467,133,702,358,
131,002,055,177,985,794,545,289,511,222,396,865,060,770,918,255,041,682,450,
392,654,093,178,155,820,085,445,729,228,468,308,584,805,377,084,896,026,474,
204,244,828,784,913,457,511,226,141,732,446,333,654,443,163,192,980,938,465,
470,776,626,688,807,708,979,497,195,369,105,936,459,492,474,148,814,978,474,
594,126,920,598,387,048,760,534,484,541,738,709,701,171,334,902,710,076,257,
454,642,493,163,476,637,392,473,680,692,734,935,634,803,916,687,857,135,375,
223,660,231,293,329,564,338,721,650,164,279,143,994,529,060,680,873,085,935,
001,650,512,888,661,289,445,707,586,852,884,130,203,400,981,425,151,677,488,
986,108,058,863,550,690,893,957,989,235,573,334,362,378,439,428,902,418,932,
971,546,134,065,000,719,522,053,996,616,250,653,348,970,692,436,575,113,510,
002,459,873,323,634,909,583,983,048,391,616,613,497,488,617,095,440,029,350,
075,334,915,454,043,164,039,755,514,136,686,900,804,584,552,160,788,066,946,
397,756,008,452,423,230,671,948,074,192,808,489,977,789,213,101,621,657,868,
012,775,290,958,876,276,344,530,183,068,905,305,657,455,121,611,775,566,621,
245,058,979,706,536,449,490,753,217,588,536,074,464,430,626,091,584,591,676,
237,612,201,286,994,070,571,835,588,760,028,526,158,819,101,063,670,403,600,
240,798,040,069,336,927,821,353,738,955,143,931,570,158,534,675,760,337,437,
438,766,697,083,678,364,225,444,383,529,981,537,223,309,339,218,522,471,019,
782,756,447,927,860,964,192,051,097,304,237,238,197,266,282,067,197,748,064,
120,532,086,671,767,571,872,378,084,108,921,855,966,708,430,301,882,390,091,
722,721,955,822,775,852,789,829,981,587,901,172,980,119,910,079,446,969,893,
347,939,235,110,333,679,943,314,834,265,815,757,812,696,629,783,292,538,376,
766,620,708,470,825,213,377,604,099,504,895,391,092,290,262,270,936,364,918,
098,074,516,014,629,710,065,575,788,528,044,546,304,269,443,513,474,373,073,
765,418,386,677,337,409,385,503,641,780,415,962,480,068,217,524,519,677,909,
143,438,179,501,401,397,073,790,828,579,515,230,343,372,224,574,455,699,727,
550,279,239,696,814,328,275,305,999,154,175,945,818,507,612,179,264,071,273,
073,590,595,370,930,184,077,220,334,466,676,166,375,708,426,868,842,818,107,
256,669,534,637,012,134,202,589,791,943,666,776,814,667,091,833,044,150,024,
252,885,795,737,430,549,116,019,828,780,012,531,111,550,980,200,660,302,593,
607,632,967,228,520,786,916,899,069,713,195,303,845,671,483,665,066,990,023,
723,538,894,071,793,950,860,949,898,173,612,058,110,140,364,156,607,547,145,
665,032,452,991,599,673,323,387,949,781,867,034,099,060,962,114,267,411,527,
615,236,421,647,964,789,143,552,277,807,576,554,924,891,560,358,155,960,210,
334,027,091,378,805,008,513,866,692,113,888,401,627,889,377,648,078,499,138,
082,602,135,558,147,078,162,603,136,342,807,977,679,092,911,049,804,525,778,
410,965,059,611,832,168,941,051,640,445,898,424,609,580,042,199,258,325,255,
537,645,233,791,971,278,685,705,483,827,694,435,505,126,899,658,637,672,378,
622,239,604,263,689,744,634,745,194,920,704,834,880,697,031,695,071,684,313,
639,451,248,656,644,055,329,784,134,214,649,532,535,765,408,495,785,492,892,
632,275,705,842,790,681,287,348,295,050,872,528,789,505,009,409,363,083,602,
683,563,511,937,199,227,796,516,559,103,938,730,281,856,249,926,554,467,004,
441,406,801,637,246,438,159,363,730,765,258,346,803,495,077,027,718,860,062,
879,094,617,390,500,961,070,377,676,053,482,310,291,644,952,862,553,140,800,
974,805,941,314,728,947,939,197,244,830,497,339,921,471,811,822,313,425,427,
099,609,305,831,955,916,840,590,026,774,021,556,683,327,421,082,393,981,146,
962,663,245,112,389,746,982,098,553,275,262,745,303,815,379,746,887,347,880,
849,656,612,321,368,372,847,871,986,687,019,563,274,888,363,724,063,136,040,
517,946,430,098,374,730,951,804,645,469,469,453,025,007,516,980,717,711,091,
147,507,818,293,911,087,359,818,325,572,196,757,121,626,966,457,713,733,489,
599,774,621,111,314,897,873,939,923,849,356,436,548,901,993,511,406,069,656,
812,641,511,707,273,676,288,393,413,521,481,325,410,663,206,302,250,284,025,
669,535,620,589,663,103,504,946,732,514,947,319,371,543,807,097,832,210,819,
024,523,874,255,302,607,494,610,675,084,006,059,422,456,434,514,928,441,835,
452,267,842,104,037,176,127,388,365,563,683,014,089,897,383,025,542,186,308,
554,177,463,768,249,765,093,375,539,257,910,576,639,637,199,813,213,879,118,
621,985,438,625,695,640,328,317,057,841,742,396,891,443,117,711,248,726,086,
971,407,077,872,313,764,647,230,865,720,738,181,100,115,143,826,552,628,633,
892,914,655,793,251,148,234,698,336,044,162,854,775,780,993,156,147,933,159,
370,168,735,722,931,111,825,844,127,890,968,445,896,574,963,838,334,190,018,
991,258,207,751,470,622,182,590,221,592,162,106,870,214,998,859,112,444,100,
383,530,222,875,527,392,538,114,263,753,567,686,699,537,614,630,649,028,070,
121,020,387,818,152,783,862,982,177,891,816,537,784,940,321,140,925,269,612,
942,420,156,608,275,305,651,508,863,926,659,876,313,765,596,197,592,703,462,
737,331,453,890,220,302,631,663,608,150,492,012,650,839,708,976,217,734,403,
379,646,378,147,860,962,461,427,817,656,736,842,623,271,632,055,172,730,706,
554,927,982,333,593,151,912,831,702,159,824,683,582,157,203,527,005,357,949,
317,526,911,728,517,318,784,177,456,916,027,175,744,060,769,920,698,316,724,
570,085,299,934,058,582,854,946,783,565,027,705,483,089,828,599,017,047,294,
646,278,883,853,878,571,575,262,694,096,389,890,227,442,080,897,096,040,255,
514,941,552,396,388,771,630,314,095,864,152,585,024,738,524,475,462,891,076,
122,413,547,120,273,807,849,484,171,578,552,289,335,430,304,809,048,332,183,
791,549,888,831,605,378,634,868,983,827,356,543,919,167,052,580,494,183,605,
278,763,113,092,194,928,762,482,821,304,280,466,421,642,843,795,023,517,699,
630,785,643,531,052,556,555,762,045,510,196,045,044,578,185,689,217,134,845,
170,142,678,358,222,980,836,871,533,888,286,777,865,219,603,444,581,772,212,
204,339,571,938,922,168,027,827,291,352,917,613,762,542,146,882,279,802,896,
959,211,589,440,110,620,097,589,455,003,094,955,713,908,661,854,983,948,545,
955,528,002,890,546,923,167,312,274,732,028,738,756,882,070,674,679,687,750,
006,055,433,066,755,681,401,781,121,325,366,069,122,456,287,974,167,100,351,
833,379,293,187,943,131,691,494,139,892,510,223,061,351,813,688,589,596,045,
677,159,145,103,706,798,962,610,508,026,265,525,682,118,740,538,796,029,480,
803,239,601,880,060,854,588,240,514,127,650,665,218,966,340,155,426,584,668,
177,512,962,619,394,171,219,588,946,753,632,074,900,828,970,372,103,933,916,
099,036,656,982,869,140,427,507,115,351,737,633,405,707,518,094,711,504,483,
667,083,048,090,639,083,144,534,356,137,683,243,686,227,540,042,644,256,865,
016,300,046,249,866,570,794,126,716,465,398,812,605,269,175,997,643,858,934,
658,870,853,291,076,524,315,834,385,858,652,997,698,385,912,780,456,096,410,
944,054,506,063,979,874,529,713,969,977,603,232,868,974,371,709,366,811,688,
239,340,851,639,703,234,937,559,134,960,479,706,118,820,398,363,855,923,848,
028,285,194,412,660,384,539,198,537,011,294,609,188,598,087,563,248,935,526,
249,944,400,098,488,604,409,095,212,696,028,909,015,570,316,028,785,754,553,
292,332,764,860,683,921,576,048,712,947,041,998,041,147,448,177,552,893,626,
235,548,449,611,459,040,356,366,884,792,063,924,488,179,747,484,318,471,673,
743,240,507,597,405,443,419,936,615,180,798,729,475,152,707,575,846,718,424,
395,513,356,059,508,376,904,594,175,859,571,782,729,201,288,160,384,747,409,
063,152,300,789,051,943,502,636,062,686,289,289,800,071,703,705,331,595,152,
883,592,195,181,826,083,380,572,351,619,626,525,310,718,021,108,288,713,294,
426,696,006,935,594,865,962,585,321,883,427,273,434,303,751,253,521,483,338,
081,515,379,241,024,635,519,584,744,999,852,036,148,588,739,653,467,707,231,
331,776,797,750,248,464,102,434,666,840,238,690,877,904,796,762,570,670,663,
363,903,165,337,249,712,561,759,614,129,227,232,691,375,862,148,379,393,592,
476,108,355,678,754,030,076,380,118,315,548,615,482,591,996,347,515,553,868,
685,780,576,096,403,086,192,086,998,988,287,830,830,103,749,684,404,630,167,
474,941,120,456,940,875,825,669,047,231,214,038,103,423,237,320,958,574,820,
029,740,748,217,469,701,277,183,102,230,636,940,595,544,234,701,137,901,510,
506,449,718,581,321,604,271,241,406,920,951,441,340,258,853,799,130,500,310,
364,291,293,134,544,037,940,933,876,026,702,301,609,312,330,077,642,148,139,
881,693,385,178,191,547,001,511,385,217,018,874,058,818,521,383,059,636,981,
333,178,572,309,735,596,778,601,972,055,885,571,141,468,684,730,466,202,182,
831,933,094,736,017,182,190,752,920,407,847,741,718,522,992,853,032,972,272,
015,409,456,254,996,489,729,299,956,996,629,481,154,329,398,691,887,785,817,
846,424,092,597,943,159,052,658,574,668,829,749,281,941,996,496,362,204,836,
676,343,215,940,211,257,326,277,544,380,449,735,217,260,406,120,159,471,320,
256,841,868,467,407,297,099,751,165,417,568,524,836,223,228,448,941,953,061,
779,641,558,790,463,113,720,417,302,899,489,926,771,145,746,064,088,568,123,
740,976,824,424,144,779,604,844,449,861,071,059,473,045,726,809,016,945,033,
051,231,076,604,703,961,223,400,426,764,398,064,705,830,050,009,307,233,065,
674,363,644,664,540,326,077,171,835,970,544,145,012,202,760,178,762,106,591,
052,857,607,395,977,071,785,242,772,590,323,360,088,521,749,417,865,381,009,
385,472,633,570,958,084,937,831,108,766,174,178,882,987,641,856,148,269,197,
384,351,825,262,888,299,028,799,145,415,887,235,290,028,882,735,800,866,475,
822,488,615,219,670,426,111,780,335,983,644,906,705,815,595,671,495,766,460,
814,754,883,483,098,981,270,028,563,935,366,139,289,349,831,457,321,116,921,
519,754,668,255,021,238,076,546,829,020,336,324,529,350,256,568,845,927,578,
175,127,315,694,876,434,483,211,971,213,617,767,029,872,044,344,201,831,725,
732,361,863,627,426,602,247,832,295,164,282,637,956,543,696,734,647,780,149,
512,446,262,740,825,471,567,754,467,627,558,692,075,077,336,251,148,915,152,
446,159,655,217,824,679,949,802,106,408,147,874,224,867,388,607,183,395,178,
893,150,408,839,121,928,918,164,819,051,954,008,485,797,880,057,289,004,734,
571,864,450,187,714,887,122,696,139,401,665,226,264,826,765,433,115,551,596,
390,715,244,175,817,881,627,371,737,981,816,202,093,738,467,999,611,081,921,
685,252,248,053,261,079,810,321,005,436,205,756,799,757,943,914,060,547,334,
031,500,217,749,987,877,712,653,510,273,433,196,374,678,292,664,751,072,556,
205,134,679,937,486,768,051,046,979,286,829,869,270,023,218,740,116,893,952,
591,507,095,942,103,069,785,487,276,682,275,725,132,595,115,380,553,931,229,
898,570,438,949,312,150,670,693,987,783,669,209,127,691,379,369,279,062,971,
508,916,459,436,217,305,705,554,778,386,349,251,096,808,782,954,724,004,946,
671,677,477,483,368,560,350,354,306,691,986,312,561,104,784,846,257,101,424,
942,906,530,034,604,045,891,151,036,741,662,921,643,350,956,861,014,795,985,
780,290,899,011,312,587,079,048,615,989,120,524,820,346,055,223,501,339,115,
173,645,102,075,288,577,815,140,852,570,310,439,541,057,705,271,210,683,578,
639,071,005,984,469,118,884,169,893,538,162,183,106,021,216,441,707,070,659,
679,437,658,138,813,176,950,878,817,301,496,847,508,388,766,443,741,367,860,
867,009,885,955,897,540,531,861,596,536,445,723,559,740,474,978,628,674,376,
921,721,711,379,560,721,058,064,617,686,118,237,421,891,575,767,152,808,429,
596,959,872,877,557,575,888,975,045,449,721,478,307,125,366,011,433,389,531,
887,470,220,418,343,541,462,092,052,210,887,694,810,320,071,954,555,042,777,
808,859,991,313,101,411,442,113,462,197,299,020,406,165,584,080,329,691,444,
840,317,851,417,406,128,340,626,639,371,691,106,092,484,609,543,134,951,484,
233,836,030,833,881,595,985,379,727,373,748,646,144,520,743,492,205,658,798,
900,531,272,601,271,694,064,034,262,768,028,137,310,241,017,463,059,273,539,
264,156,035,087,754,701,467,372,538,274,129,721,370,171,588,706,117,746,386,
826,741,056,234,723,954,990,841,390,073,472,838,047,543,655,916,815,154,057,
406,313,380,582,061,485,127,159,799,161,418,699,563,832,501,253,880,168,778,
894,077,767,509,847,698,834,605,102,591,527,510,174,382,471,304,173,098,488,
724,462,935,820,236,654,620,101,917,342,194,472,209,771,582,067,035,464,548,
552,621,156,516,886,277,566,748,571,294,979,209,822,146,981,657,358,633,866,
504,896,932,084,261,082,081,499,961,181,416,590,715,242,456,145,146,745,906,
248,881,277,192,048,733,138,805,137,304,965,836,397,378,583,801,614,077,904,
901,941,798,637,089,964,078,612,100,907,011,714,034,758,711,239,298,175,111,
083,630,754,018,527,214,999,948,806,402,424,031,568,623,998,121,361,582,185,
655,546,222,389,740,593,139,099,084,836,597,601,574,390,438,641,874,304,769,
873,677,274,523,698,812,040,306,439,147,856,660,656,240,456,699,571,917,860,
682,141,808,298,686,156,126,327,411,220,674,621,988,371,995,244,091,183,104,
378,960,469,597,727,190,890,061,990,987,087,458,208,680,290,122,422,891,227,
449,932,518,383,277,423,095,087,113,938,713,495,854,139,457,105,143,022,483,
015,018,534,461,619,880,969,163,884,858,065,035,796,579,079,728,448,569,859,
740,265,482,289,678,931,850,601,971,024,090,815,698,727,891,399,377,854,574,
912,638,150,419,378,624,657,349,874,307,488,378,800,556,232,339,812,792,614,
528,568,455,048,470,431,816,321,358,710,632,011,644,587,763,042,804,956,379,
387,217,065,585,389,364,921,990,592,139,789,151,895,306,501,442,970,759,596,
909,427,087,530,459,120,429,883,097,424,144,896,842,825,991,889,110,240,581,
162,928,854,038,536,229,627,898,894,652,587,837,276,352,323,858,721,801,065,
100,422,992,275,871,369,466,077,074,054,300,138,629,608,124,389,131,387,463,
267,825,678,959,115,549,319,020,867,201,804,235,356,166,990,914,065,683,857,
323,414,275,893,718,964,853,001,726,142,570,439,125,794,476,002,603,081,278,
901,883,711,107,284,744,360,774,952,211,804,593,573,993,634,016,641,931,436,
317,562,441,868,638,511,205,977,273,905,647,391,590,959,843,468,268,112,955,
375,873,137,632,194,108,035,998,171,242,171,256,167,066,971,219,475,492,045,
523,132,359,970,007,465,920,716,199,380,280,062,431,408,585,446,638,242,702,
447,821,398,399,647,385,079,095,243,732,792,867,299,636,478,481,188,408,860,
704,528,940,467,737,714,944,396,397,722,162,998,058,813,355,017,815,410,978,
531,927,466,629,543,767,232,728,718,991,182,255,326,792,749,986,328,037,333,
853,812,755,541,221,589,392,015,610,694,911,861,536,492,965,908,090,122,321,
877,916,854,472,439,346,911,780,393,730,890,941,961,005,272,291,046,788,524,
448,222,144,973,131,986,601,582,504,816,180,241,546,885,419,414,957,093,444,
644,167,272,364,905,268,175,797,678,905,591,817,149,363,533,181,730,094,840,
047,297,915,869,893,640,608,079,342,289,691,439,814,699,317,193,715,317,332,
976,659,928,391,275,939,210,229,473,188,502,402,146,568,010,355,776,207,532,
222,054,241,926,675,157,694,707,378,903,250,618,449,652,069,208,551,719,296,
015,459,105,139,093,537,792,178,963,246,808,806,385,760,179,250,726,045,832,
494,382,113,674,876,088,893,227,165,580,112,163,153,022,313,020,937,281,827,
677,853,268,469,886,629,046,693,433,138,074,819,766,967,237,527,693,329,760,
059,318,471,159,397,915,584,023,748,697,260,659,414,570,523,497,889,863,974,
713,501,251,945,939,095,054,102,679,513,753,899,472,564,969,776,370,000,733,
845,114,853,151,096,096,764,693,167,261,623,340,439,473,032,038,864,780,043,
248,719,851,665,752,878,082,056,784,981,424,370,200,566,478,959,944,581,359,
973,300,728,334,107,632,385,819,232,961,144,420,936,886,369,520,000,285,366,
914,155,598,241,437,978,736,528,643,900,919,120,808,494,909,075,624,031,458,
243,089,783,971,882,905,052,173,677,254,762,971,128,907,122,135,687,671,149,
472,221,696,391,480,847,819,401,074,798,717,542,042,595,879,883,264,338,507,
167,321,736,001,241,779,066,954,294,531,241,279,029,101,973,935,350,802,297,
320,317,625,544,565,149,591,049,497,869,745,599,155,504,940,534,699,512,010,
308,089,283,693,043,275,003,486,336,006,887,392,046,884,897,931,561,735,974,
488,130,055,420,629,358,225,041,487,492,366,863,781,348,588,679,906,335,598,
465,393,222,760,331,935,957,288,685,841,902,681,670,811,220,105,140,264,364,
610,338,336,261,135,066,225,044,195,654,648,872,713,493,494,160,092,843,433,
906,738,735,921,734,169,127,828,598,565,067,409,951,702,877,224,168,028,219,
770,706,901,298,311,684,941,968,355,945,764,771,888,478,846,203,080,942,118,
470,007,463,547,370,702,036,235,852,078,676,388,375,821,557,709,231,831,650,
831,282,345,429,379,015,935,081,499,020,606,647,426,543,893,511,293,457,439,
847,023,011,665,331,118,564,689,727,276,520,498,743,862,533,259,577,096,444,
754,422,247,479,561,522,817,730,299,482,769,434,435,720,619,689,469,280,875,
928,993,906,790,729,107,752,645,140,511,139,109,662,898,987,775,766,940,802,
030,517,756,265,534,256,819,937,397,197,300,730,056,759,400,119,235,682,506,
201,980,306,106,648,216,097,652,732,409,603,578,344,298,437,117,618,302,423,
974,858,832,973,685,496,432,611,453,333,473,134,704,031,266,268,129,655,486,
944,030,727,761,078,857,491,748,090,738,638,398,239,730,028,355,965,687,624,
559,215,039,093,395,277,628,124,572,990,436,707,951,712,513,875,669,424,657,
178,663,321,334,764,948,147,216,777,801,800,715,555,524,047,371,019,605,909,
933,793,980,478,368,975,943,453,701,852,789,712,395,223,868,002,822,799,730,
906,133,396,645,919,119,776,068,150,709,473,654,254,383,690,653,118,589,636,
035,401,460,095,786,428,231,699,593,012,200,241,106,317,132,399,626,437,065,
750,063,432,554,703,956,873,335,769,084,131,447,351,544,531,883,765,656,006,
820,153,135,741,512,020,636,886,735,863,986,088,621,887,814,884,325,431,534,
267,776,317,835,937,836,178,783,465,548,919,352,881,363,903,694,724,618,132,
178,357,082,953,474,180,361,106,998,722,211,076,188,811,957,616,897,319,475,
003,545,816,850,993,875,052,097,356,040,228,657,055,237,236,866,899,716,220,
887,079,069,334,831,559,224,790,974,711,598,118,689,321,051,712,723,741,202,
110,064,505,957,487,565,488,395,085,988,837,042,914,884,858,994,340,979,379,
291,002,089,013,122,278,018,307,383,977,378,373,523,782,906,840,559,173,558,
079,303,303,985,839,687,200,555,867,714,135,059,502,784,286,277,574,699,108,
668,141,376,042,784,868,812,909,735,849,086,159,288,172,997,549,805,307,002,
562,988,861,283,198,631,755,302,615,452,003,779,744,009,653,587,763,612,150,
868,109,146,230,079,316,314,429,473,835,791,689,831,752,836,169,352,946,336,
472,503,742,879,333,017,624,083,280,166,346,162,364,987,284,178,868,693,868,
554,408,567,130,830,168,383,284,916,742,977,154,663,727,379,948,283,602,584,
755,780,589,059,695,929,229,771,066,224,155,732,721,968,649,794,707,523,597,
784,247,446,986,222,369,353,585,157,010,373,595,917,433,995,705,644,497,137,
045,777,397,646,119,965,051,283,428,480,747,434,441,466,528,319,045,746,520,
004,103,834,627,041,141,722,795,173,172,831,094,278,680,505,070,431,616,915,
652,516,121,890,179,180,846,045,066,895,822,736,792,973,797,657,787,864,536,
012,200,217,765,607,822,381,645,165,348,802,559,363,802,544,811,054,621,135,
902,027,711,515,076,069,543,721,918,949,155,756,765,553,479,689,959,222,735,
493,001,618,697,564,936,553,021,364,261,463,963,026,761,779,029,079,803,913,
762,384,740,664,049,719,543,762,783,014,714,591,909,720,462,735,219,311,233,
270,668,016,669,070,369,208,409,407,676,257,619,682,668,395,496,276,734,147,
986,967,756,841,184,600,532,669,200,011,535,701,214,416,240,860,026,190,044,
656,652,217,875,544,567,723,560,499,614,838,820,161,664,592,498,093,762,078,
786,105,367,674,204,496,978,396,293,371,955,375,347,622,734,759,273,463,208,
642,803,510,593,110,249,283,973,306,403,424,195,596,248,757,348,192,000,669,
451,018,302,330,743,114,318,454,350,220,470,188,690,246,084,389,725,704,066,
207,812,459,508,814,073,475,978,233,850,699,511,457,909,038,681,538,919,445,
612,140,325,460,711,274,319,499,091,132,665,186,760,704,392,935,819,827,023,
660,328,228,970,738,629,869,514,438,801,863,234,108,975,711,639,995,728,000,
321,312,919,607,945,816,049,086,179,862,292,076,267,319,840,162,638,316,808,
989,067,182,376,132,637,867,666,156,055,111,326,071,925,698,591,975,435,753,
506,021,587,693,120,826,615,371,261,943,179,513,350,689,990,798,746,957,660,
776,731,262,785,652,244,770,787,059,776,197,006,052,958,429,294,053,838,784,
673,548,518,045,560,723,127,049,656,977,233,875,164,402,299,495,615,375,947,
064,261,262,850,511,268,739,342,223,825,277,844,486,011,043,100,222,597,973,
593,520,711,250,044,595,249,083,716,353,870,634,571,981,676,752,903,097,507,
112,010,209,563,709,693,057,145,119,794,596,542,466,765,181,877,102,511,664,
296,799,257,624,980,217,618,107,753,846,709,631,645,912,614,884,042,211,112,
381,784,642,410,025,900,064,117,349,646,516,203,407,150,700,649,745,214,263,
563,991,560,418,058,439,145,758,743,032,885,088,971,179,712,058,519,725,838,
195,720,698,936,891,064,099,622,700,267,385,357,106,683,096,223,698,247,004,
320,553,546,494,192,260,689,869,657,472,700,314,163,439,038,419,288,110,646,
330,098,946,575,248,130,315,823,253,823,456,413,827,911,242,400,594,320,620,
767,993,647,291,268,550,305,565,849,155,782,589,532,007,170,895,039,047,148,
280,766,653,921,943,658,783,411,239,360,952,749,286,823,194,697,000,125,918,
988,655,590,145,761,143,531,239,971,259,447,183,259,530,734,874,847,950,788,
851,462,238,951,417,782,270,823,759,666,670,164,866,381,907,133,728,496,979,
285,112,094,046,323,904,449,368,269,065,172,424,909,659,720,306,774,520,627,
662,152,039,302,944,149,050,661,842,723,669,021,252,669,125,651,886,570,987,
871,262,850,856,655,156,313,730,625,446,990,042,581,842,517,489,414,226,654,
597,635,529,761,796,994,417,452,691,265,829,340,305,458,749,048,691,285,252,
269,722,710,041,065,470,658,882,649,783,081,641,741,627,688,938,449,692,168,
689,736,078,112,208,211,106,105,205,688,074,100,672,454,080,891,172,411,255,
982,331,096,791,044,943,741,955,468,051,005,135,054,931,319,224,971,327,388,
122,340,643,919,232,681,696,421,422,366,326,769,917,199,535,941,011,196,056,
789,435,144,053,160,128,846,292,291,199,519,333,490,902,275,801,408,562,475,
150,565,126,987,761,679,990,156,169,147,773,003,674,025,015,398,659,959,208,
311,342,136,279,250,297,937,725,312,525,749,998,172,770,720,058,338,169,729,
920,725,130,819,197,198,500,105,917,826,622,024,430,473,625,802,867,010,504,
381,491,575,155,726,159,401,414,952,318,214,337,279,883,303,489,178,850,432,
956,291,795,021,279,195,254,363,353,593,181,874,711,599,854,931,079,355,342,
321,178,358,403,906,630,414,293,731,396,043,205,062,957,248,060,234,768,536,
904,010,372,559,489,005,916,153,647,207,070,576,857,718,526,737,477,143,474,
511,631,349,204,431,215,088,781,435,734,873,672,067,405,341,127,423,755,651,
445,419,161,624,591,748,678,072,145,118,743,640,587,729,337,803,344,665,063,
107,712,735,494,118,282,917,460,069,940,707,334,735,490,816,889,170,918,046,
065,313,512,062,665,052,689,679,616,865,236,773,966,540,416,055,338,073,779,
418,305,859,130,616,453,730,623,100,300,531,045,999,389,511,896,325,348,357,
806,272,991,773,743,189,589,363,551,208,401,922,784,242,559,889,030,582,312,
289,273,740,345,798,209,071,733,199,622,176,675,706,941,446,960,678,284,510,
234,799,355,863,758,991,803,701,922,120,438,464,841,974,816,738,219,389,479,
879,658,865,490,684,584,982,073,535,469,189,987,053,222,468,513,553,979,372,
535,676,606,766,491,530,808,034,485,123,634,604,320,742,933,369,937,012,224,
607,729,565,281,843,592,273,639,760,606,324,945,528,076,070,042,919,548,380,
343,818,945,904,078,449,984,950,522,932,024,369,114,972,230,128,195,420,510,
959,187,837,383,786,438,162,180,197,208,820,778,849,973,833,927,193,474,753,
963,978,819,549,049,513,707,460,871,532,647,475,427,526,417,785,994,490,234,
472,598,517,817,352,277,973,706,656,514,377,528,511,175,878,982,536,452,845,
052,116,990,646,960,725,112,830,230,120,665,257,192,133,717,259,583,670,730,
159,252,351,938,050,688,238,592,149,547,628,956,859,729,159,318,133,501,052,
329,350,393,851,062,832,325,571,731,607,099,191,175,443,547,826,437,281,485,
695,090,501,485,774,901,558,209,425,040,985,553,151,075,471,511,832,271,543,
712,290,944,927,110,291,676,647,306,131,689,918,059,112,560,091,323,941,109,
882,853,735,203,367,002,577,410,883,728,841,993,083,549,663,187,837,598,159,
004,248,804,675,244,669,718,143,293,022,301,097,384,960,437,401,732,440,846,
989,545,489,119,211,177,022,059,503,326,242,971,060,591,155,418,001,108,484,
043,080,325,514,909,012,201,269,482,179,564,889,611,904,574,394,057,179,392,
705,607,056,181,738,486,430,304,846,876,873,590,114,164,087,475,213,691,201,
952,709,768,779,323,099,336,614,077,479,414,486,222,977,350,562,615,869,238,
995,863,585,133,456,943,830,114,410,383,661,533,986,426,837,639,163,667,713,
440,111,937,491,736,502,163,060,891,944,169,469,616,628,480,552,775,747,274,
568,246,188,489,395,310,204,431,013,083,501,194,532,069,428,165,157,965,909,
033,511,199,949,869,424,772,446,339,985,365,369,569,770,844,053,843,736,649,
061,683,125,437,219,255,584,765,338,178,999,800,656,142,474,997,941,354,976,
154,412,073,087,881,508,862,081,645,644,369,021,554,838,789,286,953,115,440,
085,094,301,517,258,905,270,955,358,380,534,796,554,772,852,241,335,567,031,
375,799,163,105,051,381,575,228,806,202,294,491,549,037,950,914,881,755,369,
266,055,630,132,024,469,167,388,413,158,609,117,624,255,624,741,818,861,173,
557,651,863,151,204,646,225,601,947,236,701,267,517,862,811,886,201,521,223,
638,748,254,297,675,520,849,838,056,872,007,594,041,592,015,558,784,836,812,
143,795,331,929,971,944,805,212,387,636,870,743,943,822,120,759,910,489,197,
360,520,586,718,898,287,835,740,315,534,769,850,058,226,008,436,363,187,953,
112,928,264,341,706,043,325,931,608,614,453,203,887,100,429,964,519,899,444,
689,997,688,204,352,543,715,759,080,855,428,209,954,784,927,750,238,175,588,
784,823,696,512,838,111,208,597,474,617,802,307,121,924,067,819,192,157,347,
612,580,833,521,571,392,456,350,935,212,421,866,129,881,416,995,597,613,411,
617,423,632,434,163,115,438,662,642,406,153,877,906,703,184,839,321,546,276,
218,886,431,353,918,888,606,736,729,873,765,369,917,335,542,516,789,202,691,
713,373,351,967,050,515,371,473,261,680,804,877,038,651,834,470,855,292,588,
712,409,819,250,044,115,053,817,295,172,098,900,650,352,509,701,373,030,608,
924,916,431,150,966,371,941,375,652,556,054,956,861,991,661,381,679,523,479,
115,865,991,180,841,492,206,789,806,806,495,218,072,024,453,005,313,436,534,
939,908,196,868,544,877,196,283,981,368,359,477,042,226,632,226,072,139,052,
213,052,955,935,068,453,406,553,083,268,840,735,823,405,696,603,884,498,453,
408,212,600,282,807,698,444,516,413,422,215,247,569,632,609,701,317,295,928,
755,992,032,422,014,638,896,811,352,710,072,920,712,169,124,942,930,532,797,
301,990,380,678,857,121,122,106,080,803,601,113,263,026,422,140,460,931,218,
777,679,288,042,135,688,811,687,005,371,804,737,928,344,624,137,148,551,017,
794,185,898,489,847,897,360,546,537,949,703,277,839,806,912,462,249,864,443,
294,682,786,298,235,192,829,401,676,266,155,282,557,661,359,430,311,844,318,
830,939,320,817,307,647,171,066,252,368,171,221,128,393,514,663,272,623,214,
424,819,271,391,166,756,054,399,289,322,141,737,625,770,414,177,109,474,818,
288,312,062,099,820,763,486,955,504,504,032,374,175,959,409,738,027,475,594,
185,856,577,714,621,684,938,713,217,015,366,185,875,110,900,928,632,312,834,
797,622,503,411,295,608,241,567,047,386,294,102,307,607,939,158,551,819,501,
359,702,616,266,739,391,125,301,381,005,496,730,547,754,165,450,319,169,553,
175,557,815,731,198,747,432,547,843,470,922,970,609,706,746,322,117,019,939,
569,165,114,368,527,577,484,797,326,639,071,008,388,707,132,101,555,447,772,
682,724,523,312,120,715,229,310,680,773,176,325,162,456,772,404,381,738,521,
191,037,157,516,203,851,146,878,271,636,357,496,277,473,433,063,397,939,825,
414,380,137,977,737,599,955,602,577,234,141,448,897,532,440,745,531,159,853,
752,156,157,940,119,788,140,082,025,163,555,747,172,829,924,269,206,555,320,
930,161,792,628,185,301,355,265,154,869,856,382,846,678,266,869,005,886,708,
049,467,790,247,237,218,717,349,820,545,384,816,560,061,460,838,050,929,305,
037,832,533,224,151,964,250,286,361,772,524,778,114,065,077,476,767,235,616,
248,024,029,059,031,178,185,590,231,641,694,047,755,068,326,561,936,409,457,
667,754,140,381,922,917,842,461,067,203,650,126,039,108,328,601,278,892,737,
988,408,202,231,070,029,577,497,730,567,980,013,718,388,666,599,526,180,060,
720,406,384,983,952,525,857,848,103,487,515,971,998,889,062,567,531,294,368,
664,018,463,949,887,442,712,867,093,747,630,387,175,143,999,706,511,264,276,
946,171,235,764,249,733,204,164,311,525,337,760,071,764,348,826,666,960,362,
370,897,656,387,106,667,410,201,498,568,596,355,104,888,670,649,512,968,164,
850,822,672,419,180,114,113,585,045,978,459,448,221,330,134,851,133,731,362,
958,827,025,721,593,941,160,385,309,762,985,534,223,047,970,205,116,649,149,
451,136,053,316,744,401,765,076,546,657,730,409,476,305,172,457,119,789,629,
227,382,282,475,120,961,062,440,138,341,764,065,902,550,735,004,968,009,339,
783,164,207,654,277,346,176,931,790,928,390,400,941,570,769,637,327,127,950,
514,947,436,427,725,770,096,488,689,390,545,979,895,742,817,119,100,552,778,
698,841,924,085,090,577,836,069,813,007,046,347,064,707,520,525,943,908,185,
486,101,641,559,001,725,190,060,714,640,106,987,912,325,739,912,025,879,859,
434,576,204,629,603,225,300,918,650,531,760,341,074,702,277,805,460,323,306,
797,365,295,264,673,418,031,178,109,946,020,910,005,025,188,666,860,318,303,
791,600,870,344,722,954,762,430,806,750,739,553,300,105,920,964,254,232,066,
037,487,644,070,943,441,954,327,802,651,164,309,466,114,263,742,707,859,995,
951,158,806,926,687,543,693,587,932,444,574,013,929,762,521,383,063,598,876,
193,424,248,368,916,286,070,294,758,826,767,535,755,474,310,413,369,308,196,
897,472,569,265,417,079,479,336,439,162,160,674,091,275,079,070,403,553,978,
449,497,177,283,926,601,903,270,600,080,528,739,064,922,645,122,130,087,253,
912,992,014,459,487,936,978,713,942,576,582,772,102,759,012,527,343,849,256,
581,238,887,024,271,600,809,652,892,473,391,895,311,326,535,419,522,661,219,
302,607,929,466,152,713,569,498,927,068,406,866,773,887,913,723,319,906,064,
525,010,866,346,939,214,473,026,217,471,000,746,717,350,900,590,320,652,712,
350,338,177,844,964,408,004,358,476,225,752,246,925,127,474,747,482,353,379,
977,072,933,546,647,468,833,973,602,707,203,533,470,216,991,561,834,154,808,
058,665,911,288,495,639,529,233,898,099,493,919,561,134,077,034,753,329,030,
293,609,953,000,306,262,211,569,077,507,874,556,626,916,065,911,597,131,299,
179,037,260,503,883,147,582,353,065,596,469,336,777,771,331,585,666,547,939,
775,966,129,377,721,350,312,907,203,275,145,872,155,349,171,092,731,091,408,
823,216,577,056,358,223,865,009,669,722,105,970,717,903,067,176,593,030,145,
980,770,716,047,975,678,513,853,622,840,656,783,189,767,978,867,208,073,866,
795,706,889,990,872,984,694,291,144,132,616,774,005,412,015,952,512,472,555,
435,820,770,929,592,149,849,974,765,515,286,155,217,017,660,445,684,819,995,
156,468,305,846,375,574,071,259,924,529,605,491,704,910,984,356,254,134,790,
228,531,153,471,809,258,633,911,413,328,766,853,204,179,009,115,600,187,146,
789,755,498,001,683,443,117,544,444,903,899,430,212,259,737,643,358,786,584,
485,440,913,614,353,901,734,243,099,426,207,920,754,667,016,698,220,836,802,
512,864,093,625,897,955,186,890,236,650,105,850,595,523,008,239,619,467,697,
740,215,300,213,204,219,545,068,811,277,101,266,735,862,994,812,692,285,309,
068,068,281,524,432,566,581,529,061,981,623,227,083,650,687,184,131,457,865,
674,027,306,743,530,952,765,381,333,708,697,628,214,735,987,454,805,633,767,
680,092,436,073,967,747,365,463,136,615,638,322,650,811,805,633,974,338,678,
513,319,588,925,502,835,330,040,210,666,828,979,674,294,125,323,478,743,080,
784,066,695,176,864,771,326,142,734,204,907,127,350,014,367,636,305,503,377,
003,835,850,712,858,696,390,490,891,204,796,169,798,470,637,026,784,437,841,
842,972,097,184,962,206,532,845,019,026,404,434,774,017,833,826,220,345,558,
719,300,786,335,186,054,477,150,012,467,041,112,033,358,905,645,510,045,080,
228,044,046,838,062,158,173,428,489,909,073,215,770,447,975,591,994,665,662,
186,626,245,098,074,005,642,663,772,846,474,216,379,218,288,826,230,083,072,
177,732,570,138,151,002,178,592,700,196,790,534,139,705,652,170,998,566,673,
599,973,139,711,253,042,759,057,023,876,878,345,832,418,307,308,807,275,602,
645,747,567,681,086,982,834,635,216,344,299,418,609,714,730,105,236,463,811,
918,309,842,834,311,148,221,691,835,903,421,067,379,270,723,145,936,279,761,
852,583,415,252,957,897,629,145,593,373,627,258,267,685,714,914,592,752,422,
792,109,153,142,633,053,177,520,610,415,355,911,812,623,795,120,670,325,594,
491,871,495,033,364,901,592,061,597,016,990,761,246,579,067,142,833,497,757,
627,554,343,319,279,234,049,468,834,062,212,728,297,998,360,556,204,542,717,
902,383,014,158,251,537,020,951,654,096,730,127,628,249,960,006,316,980,277,
738,811,376,484,258,815,992,868,433,810,815,701,380,416,742,606,984,382,362,
135,593,063,825,666,707,082,793,579,162,868,554,853,346,701,047,958,731,218,
206,600,316,288,202,157,059,416,581,128,881,815,527,137,045,313,447,359,110,
537,373,911,429,011,212,226,810,343,588,844,524,655,958,921,879,473,148,785,
390,189,344,297,883,996,331,894,861,834,166,800,208,720,171,660,795,131,746,
256,888,244,902,443,265,447,591,823,072,143,093,635,269,953,394,616,550,625,
275,158,137,943,307,748,297,715,252,919,740,619,776,496,330,671,868,165,526,
340,040,715,039,882,474,483,533,604,393,450,776,026,891,872,172,729,855,486,
371,924,196,824,116,481,394,747,516,526,461,418,589,198,439,888,936,370,232,
747,336,465,558,834,845,014,005,206,030,093,778,656,285,733,741,471,373,352,
859,871,926,012,959,947,032,293,603,322,540,310,312,952,012,701,540,880,519,
361,314,195,431,858,460,314,256,199,180,869,712,968,770,552,258,792,736,637,
652,305,902,093,818,140,214,369,260,946,846,925,785,101,644,884,555,788,075,
523,131,075,936,407,875,253,340,901,689,287,345,561,600,230,771,789,250,635,
491,334,831,866,211,117,966,721,580,867,795,985,530,066,285,653,379,335,383,
211,482,479,499,491,156,160,917,792,164,011,466,977,219,231,108,212,474,886,
562,381,008,405,351,081,393,036,244,576,279,142,665,988,488,770,830,203,009,
222,036,395,388,190,464,529,958,074,446,841,429,789,764,179,422,793,244,589,
081,043,627,161,086,369,017,562,899,313,533,004,285,857,371,793,633,970,436,
299,416,926,325,096,268,241,596,247,104,670,070,170,625,976,234,370,344,506,
734,284,726,235,374,729,860,621,055,395,882,656,630,589,044,334,278,905,251,
066,964,240,593,198,757,248,547,390,975,657,541,378,350,152,068,522,278,306,
048,230,161,395,417,328,741,518,793,010,392,832,471,258,124,889,736,685,097,
924,782,734,059,203,378,115,983,771,975,842,501,694,295,766,454,252,865,031,
863,361,727,276,177,798,185,044,348,503,571,356,934,001,703,427,289,219,937,
978,015,694,532,903,567,396,200,973,758,623,813,238,812,775,620,524,909,335,
808,906,675,103,360,234,814,077,163,586,181,619,701,253,261,758,524,537,366,
650,732,812,170,209,828,339,402,059,059,479,145,366,578,321,776,280,312,022,
778,703,004,487,877,130,939,038,504,887,676,171,573,375,624,940,295,478,215,
255,930,359,179,430,672,604,009,086,178,851,275,165,573,604,301,916,476,909,
147,853,582,814,052,860,972,240,833,283,514,448,056,989,338,541,379,968,193,
899,814,262,460,299,660,151,268,478,103,591,306,170,171,723,947,360,073,962,
015,722,545,132,205,764,078,613,438,522,572,522,343,865,367,588,929,650,870,
122,779,253,911,073,856,516,190,100,581,773,538,488,990,729,866,527,651,687,
202,835,555,453,352,923,062,914,775,479,457,933,101,026,026,509,959,953,524,
375,640,977,777,301,319,831,866,570,554,880,719,326,014,126,299,888,246,029,
672,639,804,157,143,873,306,574,754,771,813,332,034,727,811,200,032,833,179,
748,282,206,290,816,827,257,613,175,243,595,737,514,585,451,052,882,081,465,
587,993,673,721,423,868,139,275,741,227,776,865,455,580,353,803,264,299,405,
426,912,889,654,762,239,204,401,255,264,076,063,992,834,290,473,232,703,936,
565,346,664,141,115,933,069,038,040,573,723,083,892,532,416,005,144,443,497,
102,517,394,022,477,960,595,362,625,370,748,404,287,160,348,651,052,408,764,
556,953,262,008,104,339,687,319,024,626,172,836,043,281,290,497,973,274,697,
466,146,337,470,230,625,661,151,339,748,191,365,638,742,825,604,572,794,387,
251,899,781,546,269,668,653,814,437,704,663,299,252,846,788,769,001,586,923,
798,197,024,401,933,717,360,908,142,712,527,044,297,328,972,914,271,156,688,
327,164,312,417,776,433,426,055,571,280,798,226,307,673,027,898,208,619,496,
803,793,664,948,470,312,043,781,967,689,579,679,027,334,031,428,597,983,438,
200,182,561,167,724,042,864,196,300,320,289,631,765,283,196,444,303,859,030,
431,940,989,434,110,306,497,713,390,028,754,815,717,975,510,971,248,829,947,
322,858,608,474,502,707,193,389,373,755,769,194,233,126,156,864,290,444,078,
155,079,272,689,882,175,798,073,110,125,692,809,851,135,551,081,747,146,410,
119,222,407,368,451,510,068,086,765,455,201,046,030,642,272,608,534,462,246,
852,249,533,602,933,749,598,745,375,515,527,297,356,080,305,624,301,837,725,
762,143,999,021,830,677,975,269,787,768,069,987,530,166,159,682,950,272,263,
235,165,169,569,603,744,768,011,346,091,691,783,124,087,248,410,893,546,527,
622,062,256,099,107,216,429,644,914,966,809,292,499,782,334,666,781,674,339,
325,442,835,208,439,697,372,936,686,699,681,430,745,725,124,880,567,629,477,
041,848,563,501,001,870,338,905,294,118,199,999,233,021,736,075,511,182,563,
823,028,641,894,571,479,567,194,493,653,772,970,466,395,111,287,576,178,180,
665,124,916,615,685,195,604,080,270,206,055,934,527,612,710,014,546,542,694,
013,952,519,710,161,170,941,863,324,782,014,026,707,113,413,575,620,947,235,
880,527,624,989,132,415,232,943,317,748,836,566,385,902,833,506,887,479,993,
901,978,927,926,896,479,753,299,005,636,517,795,788,217,256,050,716,210,854,
348,876,678,464,827,392,344,730,263,787,243,525,282,017,776,936,292,507,159,
426,805,932,294,704,973,143,846,814,350,141,265,050,267,973,311,296,795,808,
704,167,528,636,781,035,517,171,920,452,340,811,412,220,330,901,665,658,993,
766,261,107,727,879,263,333,586,369,159,965,252,992,054,158,912,266,323,105,
763,607,348,921,895,125,925,293,431,704,779,132,984,190,501,461,746,296,633,
457,890,269,228,751,306,174,288,009,553,873,594,724,029,171,932,209,484,182,
806,085,677,898,142,248,989,409,588,736,590,153,081,030,387,978,661,498,610,
027,662,202,023,148,340,348,707,578,893,992,906,202,512,551,059,346,807,468,
157,535,104,922,401,984,049,659,759,687,334,881,008,010,483,212,843,111,345,
458,890,013,087,424,475,562,359,634,126,983,274,675,283,667,339,114,884,184,
896,510,045,177,800,052,995,936,246,378,200,516,486,338,270,409,404,329,024,
543,549,177,664,250,608,975,250,073,063,032,104,193,277,249,532,720,184,013,
169,783,194,049,477,204,956,315,640,535,807,028,783,938,390,548,709,572,965,
219,997,863,933,842,480,504,481,552,142,520,031,405,391,695,518,999,191,793,
311,834,312,893,750,436,866,237,353,178,475,726,750,060,941,421,763,410,445,
371,221,980,920,837,854,394,507,026,474,131,475,830,310,018,382,778,739,640,
270,542,323,392,912,633,438,642,206,080,660,196,159,487,730,426,310,586,969,
302,937,892,407,548,931,010,177,303,365,927,071,073,292,386,505,707,954,235,
408,439,272,617,054,507,489,305,508,983,564,200,662,129,762,233,834,943,113,
356,731,148,127,972,395,664,449,110,915,811,139,822,789,426,667,599,666,688,
466,215,776,092,258,261,216,189,920,305,423,369,052,607,552,712,054,768,946,
748,625,099,395,371,464,601,875,246,070,580,271,417,834,543,688,059,851,768,
012,845,275,933,648,988,631,636,582,031,496,733,038,963,357,671,874,210,826,
397,359,335,552,114,512,095,063,711,708,137,909,159,614,820,675,549,409,522,
642,423,493,625,083,560,643,855,529,595,693,619,701,440,822,706,743,250,554,
792,599,570,736,025,891,158,379,734,650,456,153,667,587,255,837,662,750,881,
821,939,113,251,190,995,340,578,944,181,899,047,969,219,702,107,851,254,474,
598,318,409,489,964,597,486,657,822,826,604,017,681,265,624,987,442,185,303,
855,158,403,778,256,181,480,239,960,793,890,255,842,112,223,797,204,092,732,
697,378,705,422,644,337,280,864,087,974,926,912,355,270,742,578,190,656,802,
527,234,498,742,624,960,102,625,311,534,508,365,263,331,734,047,437,996,519,
839,409,652,170,803,253,956,995,255,156,896,837,445,515,285,265,308,835,894,
353,077,001,063,863,542,347,826,621,278,517,628,551,052,209,218,703,687,273,
985,442,557,337,094,542,608,214,448,780,522,235,974,196,969,336,061,485,366,
331,557,037,699,744,988,773,281,336,891,814,097,887,536,354,815,611,086,977,
357,619,364,984,453,325,253,654,004,872,271,815,990,701,875,031,747,801,002,
998,220,123,723,910,258,578,505,527,342,755,278,284,595,878,935,548,312,360,
948,367,865,796,694,258,672,092,107,359,253,673,106,988,553,513,235,945,150,
880,301,425,498,009,733,534,448,893,996,719,626,353,346,859,995,606,390,337,
738,375,967,554,353,893,712,017,041,591,848,720,416,762,251,917,425,700,401,
974,990,352,886,121,277,420,011,944,431,646,242,437,059,823,203,686,750,640,
051,497,494,320,723,934,878,212,164,844,571,290,083,667,661,423,456,256,014,
099,220,098,617,080,421,224,475,543,431,091,012,364,234,577,154,202,423,293,
610,031,169,856,116,244,345,218,897,877,890,745,034,524,263,436,765,723,233,
128,418,600,271,251,093,096,153,083,398,922,985,899,203,333,610,668,957,219,
932,023,257,650,978,252,483,634,103,285,499,643,189,132,214,552,788,396,935,
435,943,999,257,427,762,957,978,067,130,726,881,524,495,665,058,227,905,979,
374,153,668,036,415,024,013,733,399,556,348,935,642,685,486,813,563,133,399,
538,406,191,043,749,194,494,690,832,520,731,532,337,986,979,658,009,529,778,
077,130,851,283,962,939,228,755,706,538,561,505,473,520,015,682,099,020,249,
822,779,655,279,083,471,496,528,097,616,215,393,094,463,523,150,167,386,367,
980,128,233,641,073,752,723,808,687,145,262,115,886,630,906,069,241,281,567,
619,193,195,380,497,670,670,117,005,686,978,636,505,436,456,266,287,514,292,
920,132,729,317,549,773,127,223,804,358,321,951,326,542,481,895,707,170,693,
929,234,260,461,199,699,353,719,848,924,120,512,717,807,006,688,035,603,032,
707,414,038,600,062,737,115,734,098,965,696,481,863,867,976,313,619,992,399,
393,371,819,071,741,897,594,411,573,310,973,652,742,750,309,370,101,695,626,
358,276,791,385,373,666,861,277,507,512,273,580,759,942,597,201,820,993,524,
006,218,295,650,800,795,213,987,786,831,309,063,867,843,116,271,677,450,988,
619,614,885,415,152,665,610,967,452,175,612,675,793,630,340,860,676,703,672,
349,502,954,752,639,780,642,605,496,288,940,760,969,863,798,748,989,342,215,
095,861,295,314,428,593,318,066,847,678,805,923,727,702,762,211,133,482,001,
329,698,450,878,610,586,409,008,263,418,066,561,410,386,392,514,472,868,854,
237,749,847,415,926,458,976,392,400,639,915,097,280,736,313,185,406,318,262,
617,371,008,263,126,905,173,837,104,470,965,851,070,422,157,121,695,579,002,
724,139,632,528,729,889,117,799,047,196,523,864,395,744,531,493,126,029,021,
964,313,917,522,871,130,305,421,797,674,108,137,061,136,561,837,232,339,775,
344,851,631,094,815,078,816,509,190,852,560,756,532,686,215,976,654,031,465,
781,830,096,672,131,888,372,912,239,299,849,037,727,520,934,199,737,289,010,
630,413,665,797,395,775,688,265,933,415,288,367,727,021,423,830,233,367,093,
986,282,360,455,666,415,093,649,338,832,028,506,964,497,142,832,471,198,094,
038,820,112,272,022,673,133,375,614,435,613,828,512,639,109,276,170,740,120,
779,691,619,680,074,950,048,784,367,624,613,471,513,883,843,337,712,973,307,
520,990,188,487,598,463,451,887,952,285,171,714,303,740,414,253,365,085,952,
174,608,323,137,147,719,704,194,457,172,100,108,863,519,502,517,746,127,444,
371,203,904,439,277,071,552,053,757,057,382,149,070,629,974,372,655,526,395,
148,384,915,499,129,989,333,940,416,795,603,810,450,821,324,446,198,148,428,
986,844,973,616,345,267,001,202,767,502,158,074,785,349,826,561,685,457,995,
884,374,928,728,900,312,861,936,709,221,940,188,440,844,273,118,662,062,738,
504,278,007,336,876,251,345,573,773,999,478,303,084,764,199,412,580,139,484,
561,014,018,178,601,547,934,486,860,073,393,301,510,641,803,106,623,102,548,
892,237,031,428,929,362,913,274,811,416,178,434,064,655,605,530,683,388,333,
357,674,277,145,343,297,597,183,652,738,562,658,593,902,638,949,719,823,021,
308,594,410,635,070,612,095,221,953,608,801,298,430,226,340,493,699,567,041,
531,338,911,494,366,551,650,361,860,007,262,248,827,408,024,270,492,005,284,
305,136,020,286,101,539,006,373,536,470,159,071,648,056,106,395,000,917,887,
425,516,531,438,732,707,077,121,163,508,857,575,200,145,030,994,295,378,592,
019,358,782,478,325,253,602,435,155,211,954,742,194,087,500,530,409,582,935,
445,466,427,450,451,301,529,881,027,817,911,470,255,140,661,100,641,178,462,
073,831,990,157,970,072,795,447,720,640,048,971,421,624,421,711,384,730,279,
629,325,119,630,295,285,867,738,560,636,021,420,399,291,988,819,709,090,786,
610,603,802,222,711,745,806,691,389,177,481,287,298,823,539,645,771,699,234,
475,580,725,274,147,235,780,561,834,590,310,840,730,724,315,164,212,040,804,
178,499,643,161,724,840,250,840,601,663,190,723,371,487,999,070,042,221,890,
372,684,624,392,466,137,806,822,851,213,559,256,854,721,763,164,952,415,882,
170,382,052,250,105,525,391,176,195,755,950,554,657,761,224,721,433,582,984,
727,369,272,835,616,059,163,845,637,381,016,714,850,999,465,933,957,718,049,
063,025,297,371,091,764,741,971,911,735,966,429,385,568,730,557,946,767,568,
712,784,641,658,981,816,884,033,181,040,652,629,455,015,926,067,530,903,936,
916,861,634,356,430,040,764,378,844,811,600,676,500,675,344,934,589,355,928,
853,230,867,331,620,456,102,817,424,261,678,682,320,281,686,026,930,524,454,
902,692,194,587,792,258,081,363,155,338,132,914,965,860,070,830,501,864,173,
951,308,669,189,642,546,904,033,440,641,411,968,660,030,712,917,376,009,813,
539,818,055,260,760,829,730,757,623,275,961,785,432,690,488,162,651,083,530,
793,563,569,366,125,596,525,683,372,543,759,131,648,122,936,505,118,839,714,
180,753,371,856,282,117,517,430,936,023,511,937,718,089,814,125,909,523,299,
069,037,853,634,394,362,097,981,937,869,719,659,062,352,715,733,303,814,156,
250,601,550,481,571,880,838,127,212,867,631,194,304,967,717,823,586,040,199,
822,347,568,641,423,551,574,280,921,575,198,207,690,251,609,063,643,464,572,
300,637,400,714,839,212,894,769,030,471,720,315,315,591,106,481,544,375,274,
924,158,352,580,857,020,628,439,397,363,615,555,066,235,854,791,269,692,404,
112,271,497,761,871,141,915,078,849,702,534,891,024,681,338,563,057,374,965,
520,323,431,197,419,786,091,848,539,492,098,719,374,036,536,098,241,607,093,
118,852,135,892,112,581,962,716,743,620,901,883,856,769,219,021,161,522,714,
884,596,688,923,234,674,919,860,904,779,194,540,018,319,093,415,434,933,071,
771,463,298,637,066,509,794,058,724,658,914,289,342,622,856,986,355,118,500,
001,507,298,293,001,807,726,600,016,219,519,873,920,397,954,995,019,339,585,
343,586,927,912,010,019,664,536,700,414,266,029,338,890,659,021,210,083,904,
683,372,432,998,833,568,609,031,251,080,249,687,308,305,373,240,374,352,706,
771,961,956,901,489,818,295,127,302,197,482,182,711,188,388,588,955,554,496,
829,772,235,225,109,355,806,432,911,227,933,617,222,464,741,618,435,933,866,
765,837,856,102,052,245,630,881,733,463,524,995,432,557,407,528,115,375,369,
644,506,819,591,419,448,389,436,842,041,111,718,474,585,899,235,988,971,034,
466,676,603,917,155,119,173,800,857,407,314,599,808,607,122,634,452,168,289,
752,284,673,555,153,003,634,326,154,284,252,412,880,449,830,560,022,230,231,
507,199,272,391,653,237,174,807,572,571,462,894,950,568,578,489,764,786,023,
045,176,560,657,730,496,526,522,799,731,929,460,709,318,639,544,552,821,501,
207,559,624,715,035,704,574,577,111,642,038,683,629,878,696,658,159,167,188,
783,680,181,350,318,251,036,593,285,431,305,141,105,631,272,838,906,944,856,
298,934,998,392,694,079,157,983,535,980,994,220,748,786,684,170,423,691,346,
197,485,412,829,503,064,318,989,650,706,393,248,597,942,057,669,514,469,780,
013,820,421,465,109,129,836,002,873,796,795,597,416,006,818,869,443,261,141,
227,963,094,095,168,591,063,742,774,255,562,335,094,433,806,809,405,521,647,
771,942,762,067,047,377,123,924,719,406,782,065,744,278,452,673,472,026,716,
044,340,008,697,119,972,032,523,355,137,958,685,883,718,708,325,303,691,874,
448,600,108,811,181,593,149,118,968,758,207,931,817,617,865,033,496,701,288,
540,601,829,033,365,596,944,567,724,300,376,181,554,197,876,265,741,230,382,
299,947,839,317,805,410,864,627,057,847,512,651,779,020,109,374,562,046,674,
872,680,707,235,249,034,480,463,074,826,003,744,705,840,229,143,918,245,677,
330,992,390,447,792,570,991,100,938,468,107,091,189,271,517,848,354,479,203,
074,770,954,427,314,075,654,042,289,006,883,282,635,185,990,088,307,406,228,
303,498,467,768,085,882,316,451,125,420,048,716,388,499,861,369,893,278,227,
878,450,028,811,177,172,089,848,646,253,959,809,420,679,485,824,646,112,201,
562,353,242,429,179,506,517,275,445,479,073,917,228,816,327,516,830,688,319,
366,497,242,620,693,439,417,294,814,709,533,572,855,640,056,984,355,780,803,
229,005,383,621,501,640,138,797,072,913,033,845,599,509,167,670,720,427,588,
509,725,691,290,540,855,662,970,563,762,006,445,364,278,955,565,148,833,538,
102,511,095,597,470,651,128,070,840,197,947,845,213,552,354,407,513,074,365,
710,908,919,230,209,113,378,933,153,650,900,585,687,892,921,472,976,840,029,
517,059,928,017,653,089,786,668,579,337,690,713,393,573,215,959,338,595,792,
553,507,644,777,975,333,542,042,737,989,963,890,593,680,195,204,753,722,572,
902,155,687,135,667,175,129,162,044,138,634,654,735,218,806,012,201,291,142,
913,815,762,977,660,947,443,766,479,455,974,721,366,646,385,762,580,368,853,
054,290,231,949,097,322,194,621,154,946,765,542,223,791,706,980,633,709,933,
254,922,395,303,347,616,634,454,567,030,702,908,917,259,205,371,521,931,503,
699,938,790,984,466,651,679,175,555,666,543,313,371,299,447,457,407,880,136,
965,631,909,028,476,534,590,733,186,182,442,359,730,654,970,174,323,855,225,
443,604,931,775,057,152,121,498,683,664,292,910,468,681,621,284,542,567,082,
213,836,164,578,125,301,976,710,680,127,497,958,978,836,786,013,761,194,262,
202,056,337,618,804,293,121,996,839,196,763,692,226,287,898,095,448,546,189,
114,317,929,533,759,075,364,915,881,047,854,045,641,712,735,182,921,514,748,
559,566,520,083,511,742,830,213,007,131,976,254,543,034,497,806,783,529,422,
440,203,898,010,488,332,041,326,279,918,540,876,662,392,939,089,477,498,564,
783,007,625,201,298,321,160,852,595,229,725,210,177,645,167,900,114,805,665,
378,882,885,029,360,584,119,053,221,320,347,550,439,610,066,221,650,667,039,
478,308,151,820,714,683,337,006,516,944,126,119,794,653,174,459,377,639,746,
013,368,957,004,670,177,868,471,701,106,143,485,195,310,816,193,336,533,318,
431,872,202,698,976,455,316,303,747,606,839,562,582,890,065,410,270,041,089,
721,828,749,571,617,062,637,738,584,683,002,196,827,056,651,293,310,666,657,
295,876,185,720,709,309,987,095,216,422,335,018,673,936,718,480,451,921,482,
344,950,136,906,927,777,150,106,474,259,685,634,561,174,650,454,223,596,190,
075,372,139,144,875,505,459,658,002,807,797,506,203,899,501,944,548,254,423,
721,381,526,484,418,138,585,769,034,017,241,335,311,927,444,000,335,922,187,
339,554,877,666,757,878,217,690,087,543,178,467,252,877,101,385,490,568,737,
705,459,677,009,334,995,764,420,222,310,102,579,609,476,133,615,940,623,183,
101,932,592,139,575,976,847,963,993,154,907,595,038,700,317,011,766,969,778,
357,735,474,589,423,714,874,097,969,128,473,821,995,194,484,626,998,148,832,
956,624,999,478,769,130,047,584,743,475,610,838,891,334,075,371,606,174,341,
164,221,633,581,891,292,788,408,311,877,561,219,708,780,000,276,309,112,425,
601,715,655,438,658,837,272,686,208,464,716,332,992,742,793,308,007,272,868,
659,896,492,392,561,438,093,013,440,070,549,733,048,706,124,752,839,529,481,
642,388,144,998,670,647,103,029,711,483,341,833,429,016,721,475,943,261,414,
028,017,791,194,500,599,115,447,362,022,732,428,992,778,096,461,984,688,623,
316,427,336,403,835,247,756,496,697,413,482,352,774,474,540,693,618,983,934,
801,245,054,897,241,684,667,705,777,832,861,972,371,931,084,415,105,109,240,
447,718,629,076,348,716,101,901,219,250,755,491,338,898,404,776,409,307,139,
972,820,731,702,765,078,421,518,987,799,337,400,143,086,738,594,743,151,124,
098,526,994,764,527,402,010,906,186,314,696,713,867,088,846,755,424,630,722,
847,475,955,739,875,362,876,674,774,159,015,231,157,315,719,998,279,976,038,
946,432,158,472,290,922,436,474,455,567,109,192,302,777,908,964,746,303,093,
041,159,811,116,222,397,821,597,461,867,533,836,143,281,149,335,121,936,787,
146,252,329,527,590,956,532,890,136,691,408,002,646,029,852,749,669,592,684,
023,013,066,718,832,980,465,558,127,446,066,111,696,959,877,953,633,135,489,
287,105,048,541,446,970,595,921,752,641,084,945,262,727,239,431,713,093,305,
161,423,090,863,265,681,099,848,853,539,376,496,070,086,475,812,063,854,525,
930,395,667,434,608,739,937,904,090,422,028,097,910,968,964,186,742,375,762,
673,303,723,432,574,538,461,450,975,179,701,280,814,050,064,464,136,685,418,
395,058,633,560,522,166,459,457,571,428,515,461,968,086,517,384,085,565,283,
838,176,281,759,015,886,896,343,822,179,235,878,507,921,923,045,649,521,123,
257,270,599,437,812,031,437,820,190,977,635,083,636,941,445,566,665,132,587,
806,649,998,821,841,459,395,062,683,280,572,245,750,681,450,561,201,816,029,
137,394,006,882,134,831,143,140,393,156,043,623,322,920,836,333,032,313,393,
114,567,934,014,138,322,046,707,916,162,900,086,893,947,982,582,403,863,738,
854,475,394,382,858,222,133,623,410,148,390,588,722,641,759,665,992,519,839,
596,399,018,817,711,799,414,860,759,321,487,030,930,784,187,985,965,445,821,
445,858,631,817,833,593,767,071,804,782,805,332,883,074,607,629,597,212,757,
396,517,466,135,619,786,986,692,087,136,110,138,808,148,333,464,385,766,827,
071,016,562,815,228,692,364,072,802,941,094,845,005,216,821,102,234,904,532,
602,377,970,992,653,897,029,957,900,953,283,924,459,381,890,829,586,591,544,
359,202,777,724,989,042,198,743,981,106,633,583,076,970,377,655,584,328,260,
613,173,018,026,171,126,250,631,556,012,628,532,373,744,612,544,063,994,394,
006,139,190,949,729,765,165,254,618,640,016,189,437,365,798,985,124,783,744,
555,153,305,176,716,819,046,975,622,341,896,666,782,149,580,104,819,079,857,
482,717,135,874,816,141,909,724,891,302,427,088,766,976,105,960,940,385,838,
245,882,911,660,910,774,964,436,218,336,781,682,147,569,931,039,645,210,256,
366,345,484,237,452,158,055,452,698,075,437,323,163,120,275,105,469,084,502,
403,963,331,355,648,927,646,590,783,653,831,782,719,816,796,523,490,266,075,
983,475,840,059,088,057,701,975,405,681,143,674,570,771,259,202,385,466,885,
154,319,303,838,379,179,605,315,071,908,865,816,242,656,112,710,715,740,091,
235,057,814,867,235,359,623,351,251,333,434,833,963,054,091,548,407,092,385,
329,123,663,428,368,530,214,680,433,746,327,325,218,901,169,173,146,648,434,
489,382,655,732,125,373,575,062,079,300,159,699,222,790,064,382,196,587,022,
619,134,439,058,328,762,566,252,257,424,850,453,962,219,202,167,611,903,752,
120,344,502,703,545,461,992,228,766,883,100,264,457,685,034,674,483,356,460,
299,376,992,674,015,529,200,337,472,004,707,985,371,112,773,617,932,766,983,
991,162,069,380,541,656,483,711,622,739,640,504,064,932,723,645,304,070,314,
731,134,632,260,547,697,575,730,461,914,436,363,094,936,962,959,410,678,395,
863,844,892,942,377,229,364,802,530,492,077,316,754,140,579,566,077,715,482,
045,130,586,976,770,322,087,006,579,950,341,231,509,642,822,277,205,171,186,
401,208,987,999,284,810,255,267,455,480,364,861,112,703,049,325,831,504,184,
315,849,067,692,266,101,276,608,237,288,763,109,346,244,330,499,382,559,454,
738,804,207,098,710,113,369,625,517,824,755,921,560,075,874,511,403,518,724,
199,413,009,820,567,229,943,838,491,651,340,016,740,305,967,875,923,532,778,
760,055,273,450,425,417,980,026,266,966,826,861,885,954,375,597,166,317,686,
920,188,628,273,681,437,285,906,709,454,830,655,432,032,692,179,856,078,854,
116,567,749,175,627,129,418,152,883,365,395,136,673,703,217,070,977,188,455,
175,473,820,585,480,097,471,139,336,079,843,432,361,770,792,647,794,785,355,
077,433,963,858,313,098,267,588,674,416,485,950,029,876,663,375,639,640,020,
910,590,144,731,863,718,270,812,107,125,027,633,152,396,513,939,020,785,871,
235,785,761,420,617,008,575,455,789,825,463,134,360,398,041,066,345,532,475,
163,570,508,061,777,434,955,496,491,729,123,029,938,910,191,954,042,191,793,
407,936,109,075,125,574,170,712,593,849,792,030,118,266,600,039,992,634,579,
098,262,884,929,811,390,866,790,548,231,663,352,473,235,138,356,356,399,863,
914,526,563,017,290,851,037,985,589,609,780,964,988,078,226,460,922,051,284,
045,156,724,865,536,649,145,909,299,114,537,118,856,334,098,909,628,463,225,
980,526,999,981,698,802,389,584,243,225,800,317,331,869,076,967,911,764,419,
236,339,451,391,245,762,462,995,609,698,135,708,685,703,607,761,132,566,497,
755,937,374,346,844,128,669,004,194,965,480,932,364,623,030,371,470,760,049,
519,992,511,189,965,434,909,265,388,477,931,966,358,096,050,821,407,817,598,
947,026,548,127,451,808,572,242,608,077,713,920,736,363,833,946,840,638,935,
172,318,200,432,087,556,246,093,193,970,908,237,271,648,205,636,969,308,213,
395,022,460,494,726,075,405,465,097,881,663,566,007,280,843,298,845,235,886,
975,912,718,698,677,481,697,360,951,229,320,603,895,622,786,538,086,463,128,
453,667,066,922,245,268,442,829,910,741,993,764,723,789,341,896,299,840,973,
364,084,597,203,489,062,339,736,031,446,540,980,116,278,154,342,146,653,535,
032,801,885,277,316,005,017,084,305,016,963,681,269,011,203,204,820,032,030,
265,733,947,258,789,037,002,689,602,948,302,214,529,704,560,564,613,029,802,
212,358,457,062,254,667,439,006,717,978,671,406,057,857,237,877,652,620,531,
157,185,578,834,229,145,884,859,515,573,643,280,642,373,538,087,105,480,599,
262,441,770,949,224,747,768,746,911,511,613,184,531,469,483,446,511,846,814,
572,224,005,986,515,858,142,484,597,510,900,133,349,195,027,278,023,408,391,
085,664,475,738,186,186,603,761,087,535,683,863,753,888,672,845,280,631,274,
300,723,856,381,388,260,007,183,993,055,298,664,242,762,245,537,384,166,585,
521,024,703,643,934,575,917,205,524,272,247,624,628,712,500,129,700,092,409,
771,361,731,178,499,778,039,438,911,090,972,323,093,333,866,000,505,118,900,
496,603,462,066,571,393,034,777,817,633,897,723,010,797,614,940,440,901,967,
650,143,349,897,500,962,856,583,131,877,438,115,544,127,219,446,650,234,883,
409,715,772,019,435,631,793,354,847,292,198,201,584,031,866,422,080,371,675,
601,123,734,408,375,435,388,833,085,510,542,462,952,466,817,210,741,794,894,
676,572,973,383,762,309,189,059,320,204,964,301,128,803,023,337,500,559,892,
004,561,393,352,690,313,718,866,914,617,181,682,325,423,576,659,592,427,068,
194,217,558,066,158,717,192,910,244,488,280,843,873,459,103,025,756,087,691,
320,523,861,499,309,002,148,525,242,516,215,334,880,808,848,109,574,238,931,
867,645,818,938,112,563,196,608,192,073,841,199,692,939,937,837,738,106,068,
962,914,802,197,469,474,469,337,378,851,264,254,137,045,837,727,292,233,489,
021,776,315,553,984,233,868,932,884,800,260,506,706,545,673,356,182,059,487,
421,590,787,203,437,692,443,439,077,259,872,699,124,000,811,619,690,938,604,
427,894,469,225,178,305,409,235,813,107,732,227,497,380,985,583,938,617,224,
630,891,732,452,455,062,009,634,114,726,083,119,164,774,768,544,063,312,655,
041,220,178,306,169,075,770,956,178,636,199,422,435,134,055,635,936,410,383,
749,118,769,011,256,038,199,544,418,892,074,271,817,881,697,735,756,440,281,
032,461,038,076,894,602,680,425,916,497,909,090,909,723,713,268,330,148,331,
606,988,736,951,019,384,850,012,998,459,494,812,246,918,144,981,973,611,123,
048,912,052,641,165,147,691,304,768,316,564,760,963,222,715,274,073,186,091,
487,946,862,166,914,375,771,449,828,203,067,029,595,041,430,382,771,166,572,
440,253,327,044,346,149,354,988,423,760,506,910,644,993,130,606,945,884,426,
735,754,382,725,629,302,120,620,970,279,983,204,634,424,659,244,357,589,390,
688,446,124,840,560,826,350,344,145,399,661,369,406,457,063,029,801,708,836,
486,803,388,383,580,402,104,667,100,889,054,047,905,772,222,766,473,331,015,
817,127,781,658,442,283,334,793,511,481,220,376,389,781,893,865,575,918,610,
465,512,779,260,143,362,584,007,294,209,986,051,801,137,731,349,638,287,225,
337,572,508,005,654,495,621,797,030,534,496,493,598,362,877,724,129,345,625,
556,897,275,710,872,852,164,257,384,198,502,972,586,637,866,129,386,013,147,
992,593,222,570,335,236,542,623,154,012,102,444,073,728,688,338,943,022,113,
490,405,576,893,491,467,177,123,875,026,602,935,489,497,115,948,745,266,216,
780,143,123,056,677,638,466,877,964,810,143,469,872,183,483,800,863,976,255,
898,181,242,566,776,412,196,288,317,360,525,581,860,142,465,500,129,321,806,
224,290,257,486,270,074,327,074,842,560,452,031,773,068,206,654,550,875,223,
630,845,948,156,949,716,575,421,792,483,112,072,194,943,887,854,030,037,371,
694,989,619,661,267,403,891,173,282,615,868,615,059,412,928,797,899,401,326,
143,331,101,354,525,459,980,011,893,168,410,148,058,346,222,539,022,393,641,
688,771,763,539,255,165,302,127,610,613,697,781,142,630,732,967,771,539,061,
425,243,959,628,087,225,865,008,565,933,436,800,435,666,175,653,824,827,911,
560,106,622,475,605,492,118,535,402,788,742,246,629,453,423,975,419,875,266,
171,546,394,108,841,251,134,205,668,840,225,375,744,809,126,008,927,632,332,
758,588,847,523,095,837,539,258,108,819,519,920,772,420,040,574,186,696,137,
305,882,684,113,834,157,811,313,395,319,559,199,214,583,034,808,966,874,455,
896,043,667,467,685,829,963,048,703,676,983,920,785,531,768,450,031,787,297,
809,601,543,135,637,292,752,419,345,160,276,997,822,377,280,258,297,070,554,
941,357,896,800,714,388,111,440,674,700,540,146,030,624,595,997,798,472,360,
673,160,227,143,165,663,230,862,639,707,418,936,178,651,774,187,679,276,743,
416,162,487,575,341,693,057,158,593,073,194,216,611,518,955,816,781,893,211,
668,943,848,833,154,453,147,169,929,296,059,358,395,297,016,333,638,736,656,
529,605,247,479,018,611,326,714,259,656,953,249,554,332,073,091,576,347,933,
059,451,446,442,383,575,312,534,936,108,341,565,704,005,836,397,032,172,649,
591,299,348,915,158,644,044,606,592,546,277,837,963,607,315,761,440,558,069,
392,862,801,402,979,879,396,379,661,655,888,561,388,698,483,411,688,374,642,
552,034,175,788,831,070,430,360,876,916,894,564,788,698,531,989,930,067,488,
048,955,972,516,498,117,694,661,770,606,692,842,441,001,546,112,358,047,670,
235,121,898,897,564,628,481,103,436,816,228,671,932,186,952,215,306,487,835,
210,450,282,650,516,755,786,091,367,041,989,635,509,988,324,747,385,712,817,
226,813,011,364,242,353,771,920,705,610,118,650,534,167,631,271,571,167,026,
067,404,953,925,692,330,256,644,325,659,411,799,508,369,947,289,936,090,385,
633,470,264,229,893,157,270,504,819,587,267,892,006,079,165,421,693,273,206,
166,539,702,992,741,448,678,241,719,346,647,378,290,435,282,062,342,527,025,
706,982,236,214,974,755,149,015,103,318,073,188,480,125,369,202,798,638,166,
876,685,396,256,030,700,543,154,861,507,765,695,004,680,176,805,672,491,251,
880,574,998,840,403,022,851,637,126,572,777,178,154,252,896,985,050,118,662,
502,610,052,451,677,651,341,781,910,264,362,058,327,383,799,929,408,830,174,
791,286,812,804,754,326,136,221,328,266,382,202,133,755,027,978,861,454,833,
659,923,964,373,138,421,445,400,529,111,863,184,250,165,842,094,109,444,809,
774,700,310,884,953,186,353,687,641,085,910,390,200,340,050,849,579,934,061,
278,285,820,928,838,396,990,680,469,979,271,020,759,455,632,909,998,963,677,
008,606,424,410,721,364,717,470,250,843,169,455,264,028,855,422,404,475,988,
647,883,161,084,087,860,759,569,676,752,827,731,853,261,265,432,495,160,731,
982,371,665,070,441,539,052,148,301,206,664,774,351,766,494,719,218,527,690,
986,519,500,119,658,347,926,790,971,368,008,454,908,149,765,711,297,975,359,
806,713,894,812,807,835,540,829,546,553,036,837,237,582,669,484,310,284,251,
425,510,787,445,588,445,538,028,982,696,193,957,507,008,818,802,354,115,562,
399,240,029,691,655,287,562,928,253,461,434,612,605,050,161,092,180,690,096,
712,342,335,320,781,399,928,778,932,741,579,664,500,948,387,087,062,180,320,
086,898,281,940,811,666,976,728,960,389,327,803,415,926,602,291,748,082,091,
171,797,184,250,952,838,371,088,704,640,893,225,101,764,894,093,021,557,019,
458,174,351,632,456,636,201,023,482,937,155,492,983,131,752,796,208,759,905,
558,780,344,592,326,571,132,089,452,595,675,346,268,612,498,059,563,541,687,
286,416,419,370,197,054,700,220,613,992,887,030,050,822,256,864,129,333,282,
563,149,824,477,361,039,259,032,274,024,063,043,745,785,825,695,847,538,645,
357,853,251,900,427,888,316,473,573,696,279,861,230,215,282,312,541,435,389,
909,627,021,872,328,529,540,870,552,296,972,114,010,306,172,375,305,882,026,
187,221,751,860,163,794,752,142,614,261,115,508,165,897,200,069,205,333,796,
317,521,855,500,595,120,814,134,805,265,235,111,761,407,984,309,004,570,124,
178,079,898,091,055,389,703,054,774,472,419,300,116,898,089,848,102,936,287,
237,086,470,621,284,849,312,346,715,731,402,892,333,290,631,815,136,257,752,
767,822,813,373,851,450,519,084,929,042,272,259,010,918,001,978,862,475,336,
269,188,904,803,385,092,998,208,980,550,404,371,431,089,710,342,228,089,311,
317,257,601,792,783,878,974,326,876,064,889,219,907,038,332,054,949,492,504,
971,153,634,130,761,037,088,295,702,817,402,418,452,776,696,279,711,460,188,
688,449,988,042,696,169,947,736,206,343,681,336,303,005,908,151,774,189,997,
191,382,192,718,819,127,873,293,779,566,786,697,069,046,072,801,253,211,647,
349,771,211,196,773,276,643,049,905,105,857,159,670,585,531,969,935,304,478,
105,875,350,481,249,196,479,018,468,116,535,484,458,823,553,282,872,116,130,
439,920,661,698,211,993,439,047,720,858,467,051,895,908,130,810,046,268,168,
561,209,500,379,984,475,568,203,885,626,197,357,302,244,559,579,232,027,437,
379,476,343,975,480,526,501,545,756,536,853,152,748,591,314,050,402,050,111,
622,707,152,721,581,785,291,461,272,953,162,195,484,408,821,430,132,702,376,
026,870,105,937,546,904,759,806,472,496,083,391,705,862,869,616,974,420,530,
244,796,542,500,018,280,290,953,490,446,952,476,933,063,028,297,253,905,643,
960,385,590,231,439,301,435,082,256,308,815,859,266,207,457,403,851,941,269,
921,656,189,311,317,719,257,611,048,451,965,315,565,412,845,399,509,871,527,
967,771,007,546,733,228,284,703,050,150,800,768,346,121,227,880,289,178,134,
659,649,401,454,890,319,360,362,173,386,409,607,524,872,598,471,070,368,246,
730,216,970,864,950,859,213,237,044,754,829,397,704,357,688,767,866,844,044,
311,603,662,759,729,751,268,765,181,647,584,720,775,919,752,932,129,663,019,
459,836,765,656,925,773,768,151,922,781,383,306,225,476,412,118,332,739,140,
865,602,820,658,081,506,381,679,548,819,601,740,377,141,312,078,601,584,428,
619,199,434,095,925,384,889,337,220,470,728,571,973,837,463,916,638,263,248,
633,235,821,799,785,017,720,334,631,453,854,431,861,763,860,963,890,493,421,
858,748,874,672,075,702,126,767,197,702,486,147,368,551,082,731,979,906,102,
634,864,885,344,532,200,160,068,981,884,839,208,672,380,917,633,265,764,301,
054,777,371,856,504,339,941,769,620,857,188,835,495,975,572,955,218,913,155,
903,233,872,337,610,058,627,152,761,484,790,017,299,858,327,076,293,889,625,
528,647,110,370,339,822,282,231,222,035,917,432,091,282,867,118,687,704,163,
476,607,407,124,320,383,529,730,410,028,920,455,972,164,971,867,134,973,787,
009,721,031,729,930,101,921,837,158,646,148,913,340,960,289,443,452,701,291,
441,061,647,573,751,740,441,701,004,159,078,132,071,259,058,824,790,066,522,
359,480,047,756,016,470,538,396,697,340,583,488,555,701,809,521,393,397,745,
274,970,392,037,291,777,252,296,825,241,202,613,344,525,160,152,858,927,938,
567,186,110,142,252,775,235,364,828,066,421,035,214,929,427,329,302,216,141,
932,684,185,041,017,415,276,449,549,214,418,287,468,919,998,144,093,956,386,
631,706,329,563,227,727,420,855,726,318,669,243,842,470,623,458,806,497,383,
993,870,061,932,210,248,255,511,137,046,543,254,747,341,039,030,284,475,250,
446,602,046,699,070,419,323,978,681,764,658,508,160,705,543,324,125,106,038,
756,680,964,194,683,010,826,321,210,163,720,916,593,453,600,055,665,618,798,
877,142,484,267,044,392,042,068,471,372,914,849,811,783,448,406,481,180,311,
871,904,551,915,198,243,906,220,691,598,615,676,904,855,052,917,220,329,588,
581,535,466,708,708,616,740,478,953,468,780,932,831,227,154,737,375,034,680,
865,436,912,422,521,743,029,593,503,856,342,580,944,389,268,843,984,020,427,
878,290,749,837,231,692,597,770,491,828,687,337,012,906,712,379,418,262,216,
031,112,670,935,313,802,306,926,377,627,664,996,865,419,896,403,135,387,241,
053,308,957,083,449,368,696,378,289,150,252,859,659,422,688,329,666,758,612,
004,192,652,757,557,172,424,034,728,414,266,035,574,705,198,627,432,995,763,
671,050,604,224,866,066,210,283,125,607,111,848,421,340,385,599,835,248,262,
862,052,228,100,759,987,426,048,449,852,463,358,219,524,179,738,113,115,623,
534,193,600,628,206,263,589,850,263,302,791,167,736,395,586,982,242,740,636,
642,723,327,814,842,428,870,883,103,277,724,701,892,312,744,917,845,306,925,
250,375,531,133,844,294,893,896,242,011,808,348,022,671,724,533,198,468,661,
510,537,148,653,374,210,977,327,303,905,626,478,586,397,402,739,432,920,223,
829,461,997,249,357,887,253,362,962,034,009,175,169,636,548,602,904,348,646,
487,494,752,469,088,984,827,077,327,069,877,969,486,772,150,856,935,578,482,
562,930,630,332,458,760,260,870,442,904,530,269,232,725,737,695,526,783,335,
226,204,592,803,470,377,183,649,144,986,437,366,756,642,155,037,375,118,702,
472,993,589,213,207,326,941,763,425,072,025,630,469,499,127,669,745,556,337,
958,094,078,200,298,576,102,294,766,927,702,546,318,671,908,405,413,355,247,
312,711,508,204,748,989,697,732,381,638,368,654,495,177,177,768,764,375,653,
701,618,918,093,360,234,872,851,040,160,453,728,173,351,366,608,452,652,246,
400,346,620,254,695,485,266,025,257,460,297,940,488,205,538,594,582,493,177,
717,262,956,155,807,945,349,297,044,043,169,542,935,588,703,726,040,910,115,
614,993,302,768,024,383,567,425,656,404,019,561,640,793,820,717,778,774,892,
762,213,137,978,409,317,368,247,415,932,269,638,300,589,368,533,297,477,361,
744,358,339,941,533,862,554,880,143,521,433,763,890,731,387,283,470,441,591,
317,647,342,194,977,783,539,684,722,839,673,880,016,337,501,227,573,199,611,
562,944,664,048,846,791,678,604,705,726,974,426,027,587,066,471,085,912,339,
297,605,597,845,444,615,022,730,700,008,866,427,769,476,767,791,704,934,994,
017,643,043,173,178,590,858,435,126,121,620,430,164,852,252,425,976,329,265,
005,335,480,784,148,025,536,108,862,106,808,505,539,113,634,455,328,450,406,
952,993,175,724,924,763,014,567,139,480,459,618,216,334,214,320,786,510,676,
975,403,857,839,946,613,854,367,468,432,008,759,985,922,557,864,436,753,518,
938,558,669,258,620,299,884,660,092,483,394,539,756,729,673,193,486,478,178,
443,707,938,737,742,147,082,751,532,051,938,053,319,122,689,665,480,051,641,
230,846,284,420,873,646,700,797,098,828,452,989,057,686,259,257,061,035,536,
909,876,783,552,910,325,731,128,679,676,483,785,020,484,151,972,758,812,237,
932,246,115,847,044,916,460,906,144,432,958,254,899,934,827,465,873,242,547,
155,470,956,427,067,837,026,519,417,359,624,463,845,189,065,485,228,159,330,
176,040,651,399,897,466,157,593,816,121,046,031,857,894,884,259,020,591,868,
372,059,920,118,109,772,717,940,259,527,603,942,117,425,400,258,537,349,718,
990,692,701,260,707,886,106,818,180,631,294,969,896,272,356,659,629,933,254,
445,070,851,924,724,752,191,374,386,638,650,843,316,141,591,953,415,676,858,
353,624,494,037,355,520,987,532,045,787,712,914,360,300,382,614,912,192,901,
610,460,039,794,717,979,137,755,524,851,704,267,407,689,973,006,425,052,615,
080,574,738,332,001,057,610,040,223,834,090,491,813,200,067,394,685,966,687,
593,495,171,828,936,770,351,681,297,927,776,465,282,940,764,257,579,086,000,
972,496,446,346,012,324,776,301,801,596,298,510,268,708,397,842,826,976,387,
293,268,574,710,074,081,964,516,540,778,070,529,630,471,906,078,739,457,487,
189,553,798,353,744,402,669,278,416,638,286,554,431,251,658,640,155,255,419,
461,917,709,869,782,060,356,355,934,057,281,531,944,371,006,959,968,637,450,
166,370,839,459,625,694,506,660,755,686,729,498,168,491,761,139,487,498,668,
264,252,794,714,267,953,265,064,653,166,905,438,830,514,598,409,591,705,170,
361,107,898,763,038,200,285,700,946,770,385,501,605,205,610,572,936,066,947,
439,868,073,022,186,159,130,121,985,253,006,314,521,330,192,881,178,922,699,
276,296,687,706,249,926,501,272,090,872,807,753,011,694,598,332,066,904,229,
390,356,004,002,637,075,041,102,326,661,320,740,930,932,069,837,236,702,320,
687,598,875,597,762,685,795,723,563,134,785,634,156,077,136,468,976,020,488,
849,585,401,149,148,940,683,818,279,430,947,414,683,661,320,639,975,671,505,
707,991,801,040,136,120,279,454,236,380,369,725,394,049,517,063,584,199,408,
798,240,798,168,308,207,747,852,990,631,300,447,183,981,798,212,063,873,730,
876,383,032,588,929,145,641,262,575,961,921,440,439,473,219,396,991,719,208,
300,257,058,993,875,283,756,084,391,368,422,804,700,815,706,615,757,217,864,
416,259,438,741,554,653,145,320,026,673,811,307,973,333,461,426,122,025,665,
246,782,656,173,437,232,593,524,718,486,152,400,354,931,413,599,699,894,418,
853,806,320,127,301,692,829,374,110,873,258,627,710,054,091,700,901,998,815,
171,665,348,972,214,801,035,782,297,141,777,119,630,097,463,133,511,506,531,
918,765,960,637,303,641,858,343,779,769,795,093,990,744,445,677,827,167,113,
699,554,193,936,384,793,248,643,662,611,637,834,530,149,772,150,242,070,798,
330,751,212,663,035,541,125,017,598,251,492,236,053,725,631,195,124,102,096,
748,768,397,532,850,491,720,227,556,488,912,246,437,564,440,372,824,021,559,
031,104,401,675,355,551,214,022,448,958,246,829,893,025,414,171,938,645,366,
722,397,084,071,875,861,276,795,898,519,730,540,155,110,222,211,838,615,321,
306,321,085,606,218,812,860,320,750,530,806,186,725,563,653,930,870,162,028,
071,789,350,956,482,600,896,400,156,552,623,135,327,213,510,696,966,327,048,
036,199,141,702,622,106,982,967,922,698,145,413,655,709,732,937,624,066,898,
958,811,143,126,571,325,123,017,590,967,465,536,934,149,682,802,623,406,306,
987,168,035,643,301,947,631,778,419,259,247,003,629,366,403,273,115,244,890,
864,976,036,525,841,420,550,189,195,287,989,218,068,178,749,068,719,647,521,
563,592,908,681,545,157,061,034,825,808,860,947,196,065,411,602,785,980,058,
905,481,756,679,985,964,665,128,073,479,328,690,164,209,780,128,492,254,105,
632,915,242,961,156,635,641,759,916,493,749,394,897,736,399,016,068,662,551,
593,151,943,999,575,564,250,794,153,666,530,626,318,920,168,134,189,803,362,
927,698,499,132,794,513,946,682,939,331,475,253,136,395,974,070,719,454,282,
976,088,121,661,964,825,242,607,308,015,484,772,882,730,540,180,305,296,933,
698,697,234,483,024,816,670,331,209,021,587,060,939,508,115,717,212,553,994,
618,237,905,988,655,806,334,103,695,046,895,270,573,955,392,376,475,368,476,
375,904,569,703,896,156,536,898,967,948,992,123,881,442,669,930,352,014,540,
526,728,872,862,032,350,707,228,049,447,968,104,452,475,160,800,072,462,189,
667,432,578,423,814,772,767,013,432,082,416,716,995,336,647,763,584,501,644,
742,576,822,968,981,215,085,122,485,319,198,209,714,953,689,571,424,201,532,
844,680,850,803,247,527,744,661,039,089,998,374,076,617,848,431,231,567,845,
477,698,611,574,107,689,236,409,698,625,710,077,405,419,568,212,605,671,032,
732,210,214,671,275,811,573,117,372,095,045,205,883,012,523,449,657,068,897,
887,492,230,320,422,230,757,435,271,812,085,622,164,747,686,104,148,910,727,
203,943,868,196,806,403,529,153,172,291,488,072,060,579,870,943,709,359,806,
510,784,770,120,541,971,793,231,549,845,767,186,063,820,085,093,166,554,784,
050,358,869,800,941,894,825,862,147,961,052,668,939,159,289,321,321,918,515,
139,179,029,150,057,725,005,608,655,635,027,119,308,779,231,286,821,452,486,
738,348,197,042,440,497,723,403,706,741,324,453,498,371,115,801,261,895,627,
752,154,019,940,723,475,373,002,869,050,816,053,730,107,493,932,303,556,210,
697,290,138,891,584,463,369,671,579,199,476,437,935,376,459,153,206,087,889,
280,911,533,426,497,326,826,086,891,249,473,587,372,138,553,465,782,325,126,
184,416,267,234,627,246,569,055,202,331,113,259,556,050,008,449,219,329,673,
817,961,822,706,586,802,463,968,343,507,322,375,871,654,980,921,887,587,680,
197,628,437,336,791,408,131,065,467,968,804,158,385,842,796,947,688,276,492,
312,201,637,488,374,349,387,899,469,530,799,342,956,524,266,270,331,009,237,
559,935,277,890,340,547,506,029,197,483,104,650,590,060,351,431,585,554,806,
897,747,904,572,818,006,545,279,134,711,369,690,848,567,531,189,018,077,519,
946,082,100,990,790,972,083,106,651,112,075,922,645,268,563,149,096,844,566,
900,271,184,349,955,677,781,051,407,828,642,846,283,439,433,307,682,597,994,
929,728,778,183,796,040,206,351,023,835,096,955,989,110,111,529,987,134,452,
931,390,972,531,237,227,617,894,928,657,090,165,740,721,717,388,494,430,700,
087,503,842,949,239,750,122,580,125,970,445,572,299,232,976,508,134,303,445,
027,026,897,730,176,148,709,667,175,815,556,172,044,909,536,121,880,448,453,
977,686,346,783,637,776,932,511,530,223,452,059,666,163,717,924,508,078,472,
422,840,911,366,997,165,154,077,934,871,787,941,805,560,597,263,664,042,603,
564,891,086,600,390,964,488,229,177,629,759,213,480,416,430,844,313,918,319,
533,998,198,761,370,472,828,270,081,708,755,972,673,685,940,065,268,669,267,
775,147,541,425,394,187,185,353,994,772,317,482,782,570,217,329,666,953,113,
695,703,281,207,089,567,428,438,917,135,753,731,477,324,301,076,055,326,292,
782,961,668,525,382,486,851,266,740,949,426,413,285,077,420,071,423,540,392,
815,940,185,417,509,784,110,841,949,227,401,895,228,046,607,552,349,758,359,
356,786,706,313,643,517,622,315,972,678,971,397,951,476,716,738,609,757,024,
081,452,986,098,483,660,813,875,868,506,567,227,862,651,134,139,888,725,657,
519,644,411,440,666,010,878,130,473,022,349,198,185,412,134,188,950,332,929,
521,192,429,797,032,287,377,214,380,096,012,755,606,941,855,573,946,148,101,
575,529,395,983,797,116,841,907,978,281,658,235,335,875,009,373,753,862,112,
049,823,393,450,140,218,723,642,257,584,377,681,875,045,715,111,151,584,747,
473,646,746,830,859,981,973,779,552,809,206,338,871,080,550,018,157,586,074,
252,043,226,096,087,681,951,578,297,922,319,502,461,429,087,343,012,484,933,
022,415,222,657,698,240,612,294,403,765,173,212,530,652,384,789,099,727,181,
903,250,316,627,483,643,910,648,618,209,334,600,139,453,884,222,770,041,438,
264,501,729,661,266,686,715,652,855,312,932,620,097,326,013,993,929,955,072,
954,590,641,726,794,851,737,282,897,450,239,506,752,392,311,308,737,663,606,
824,600,097,495,688,333,524,519,563,587,700,266,600,909,337,052,006,811,792,
380,241,367,939,297,883,072,588,144,503,162,490,596,931,831,563,147,316,701,
363,891,569,075,251,699,901,229,896,494,762,481,449,449,581,097,011,823,668,
848,835,144,460,247,044,488,831,639,853,318,612,958,129,777,818,821,304,503,
743,132,886,138,533,074,543,325,380,827,390,138,547,230,988,849,966,984,481,
406,622,636,656,254,154,548,251,909,899,395,843,010,939,923,485,271,005,854,
162,462,335,138,577,155,075,300,906,553,840,270,340,921,881,955,548,332,735,
061,175,065,665,180,527,026,472,839,273,491,176,080,002,682,065,483,913,581,
137,984,915,551,772,404,250,629,122,582,723,845,090,224,871,255,298,120,573,
159,091,533,281,997,346,214,771,199,588,947,377,343,754,791,732,554,203,423,
957,017,810,688,523,577,697,690,006,772,778,861,319,885,438,946,107,623,095,
681,334,065,085,090,766,307,718,983,100,488,815,896,272,284,624,963,601,449,
010,246,201,800,232,647,018,817,363,570,575,030,714,467,042,008,503,678,946,
231,822,812,999,015,437,008,368,593,644,621,001,500,751,018,673,064,341,772,
203,274,418,179,658,746,922,768,510,569,761,420,632,187,146,275,886,114,871,
229,989,104,237,376,308,786,032,996,426,611,372,655,539,247,372,928,804,116,
161,620,728,558,093,455,541,966,659,063,664,838,731,601,964,870,438,932,080,
790,199,889,791,883,187,167,185,546,008,143,990,286,212,633,312,853,715,491,
276,279,208,340,881,202,715,085,266,709,457,126,196,943,791,719,512,602,844,
510,569,562,259,345,225,481,659,283,138,758,659,490,216,085,920,744,609,936,
730,167,942,766,436,302,821,823,827,124,465,281,255,234,169,004,526,913,171,
062,980,323,569,416,257,707,164,247,324,879,837,189,205,800,324,079,108,659,
084,876,111,822,539,127,585,585,327,024,329,569,723,972,057,078,018,425,609,
986,090,874,299,728,458,232,494,414,766,845,251,693,916,266,304,233,882,137,
992,163,337,346,083,543,794,128,560,418,578,761,044,043,487,680,489,575,788,
595,494,317,732,676,573,612,173,881,878,077,457,974,729,054,981,354,194,621,
226,929,438,145,516,478,902,752,716,655,444,358,614,181,585,895,507,961,806,
069,842,986,897,589,201,076,869,335,266,995,840,906,734,373,484,507,127,532,
711,335,489,642,856,214,989,374,439,109,769,659,855,433,261,876,417,189,654,
474,619,078,227,515,926,656,522,700,470,408,933,903,720,124,330,812,808,095,
966,255,490,878,566,110,302,287,056,022,859,996,895,881,693,644,509,367,080,
733,019,903,357,645,610,504,368,989,916,619,901,832,818,506,985,009,099,549,
837,295,624,894,523,776,553,020,521,797,113,399,931,836,576,587,833,141,870,
665,261,092,164,911,591,840,223,110,750,347,142,650,680,448,825,830,402,288,
300,164,205,882,422,873,033,070,484,509,179,784,400,539,460,899,644,358,512,
437,288,845,776,536,242,763,623,105,493,180,157,382,283,773,736,728,155,913,
394,717,050,351,525,430,531,389,695,770,577,038,840,287,593,566,327,706,246,
606,823,396,836,137,408,510,028,554,261,361,817,500,059,135,702,778,772,051,
199,160,724,721,997,069,484,461,605,764,753,521,255,841,040,168,934,245,603,
611,664,637,778,537,524,080,909,824,242,425,322,732,078,788,841,225,297,882,
216,640,859,871,952,717,781,595,374,303,329,462,822,308,786,483,248,978,803,
263,628,135,991,094,999,152,052,179,240,334,911,510,823,617,482,799,309,169,
264,208,334,264,292,911,405,727,374,524,036,416,728,261,593,384,243,149,561,
681,649,531,126,489,069,056,009,903,728,571,928,728,763,250,860,688,383,297,
286,253,697,256,401,105,070,342,594,193,789,215,795,791,322,070,626,701,370,
846,090,787,162,519,800,077,268,918,639,503,733,726,388,883,618,499,334,045,
263,466,831,369,931,168,857,676,115,132,149,061,761,660,922,847,989,265,348,
135,466,432,571,698,937,635,812,509,677,570,998,009,703,040,611,981,147,595,
782,112,987,194,576,190,067,544,161,553,722,744,093,498,221,793,222,169,761,
758,388,067,434,470,048,881,483,430,683,145,630,588,039,115,670,354,778,534,
786,532,573,575,443,382,018,671,530,768,225,571,395,960,755,498,603,912,165,
409,204,155,949,659,086,274,512,346,560,617,013,376,996,882,069,474,142,575,
416,579,320,471,512,388,061,510,128,575,504,167,727,110,371,635,486,040,280,
388,788,485,859,508,546,162,338,805,569,402,301,847,255,925,995,235,529,977,
265,040,457,051,679,052,935,792,344,778,297,403,641,666,380,849,399,095,149,
486,929,337,513,677,561,871,797,719,691,541,089,162,144,134,396,029,579,452,
347,063,884,908,445,327,769,401,629,254,231,259,465,387,889,088,200,128,314,
946,571,806,767,427,253,648,870,838,151,812,501,648,351,835,887,573,471,217,
491,755,758,879,904,133,875,043,682,748,304,336,620,112,204,597,213,630,260,
263,960,166,926,291,447,683,906,106,832,019,600,218,679,810,476,641,343,401,
402,991,599,660,575,433,677,776,868,961,939,483,054,011,424,334,040,720,681,
150,252,748,789,606,550,818,573,476,652,352,889,195,279,983,378,032,166,466,
792,933,027,247,137,587,815,995,087,849,701,776,608,052,717,155,947,721,286,
477,655,536,066,429,145,140,924,754,603,160,769,899,047,269,304,109,268,294,
574,101,632,477,679,876,101,156,260,538,084,118,614,658,302,181,851,735,038,
741,266,754,022,463,679,630,720,941,093,404,179,815,774,151,643,309,743,925,
748,679,331,980,644,316,110,791,055,734,912,200,965,850,517,871,777,405,486,
642,893,962,960,234,778,903,752,865,006,898,931,656,605,446,453,637,353,736,
321,615,101,046,422,756,540,300,950,558,832,673,509,749,209,222,444,745,537,
748,870,577,654,143,358,476,372,605,966,689,837,303,649,142,104,618,013,364,
548,077,244,698,304,792,198,436,874,889,621,872,690,961,145,567,907,840,675,
912,891,868,234,057,533,755,399,564,181,385,602,268,843,102,767,987,906,934,
342,400,335,260,863,478,635,043,432,718,664,671,034,248,482,875,794,331,081,
381,516,794,880,490,855,747,095,049,472,827,002,014,125,025,783,317,231,863,
154,733,952,032,505,679,862,337,844,862,776,257,335,518,337,446,545,507,117,
161,874,458,997,927,801,752,272,467,780,152,713,144,046,117,745,238,627,875,
670,511,348,403,913,115,421,606,369,954,068,702,807,404,391,419,588,646,921,
937,025,029,099,009,099,740,235,666,215,868,285,221,495,311,498,150,861,992,
330,363,331,141,270,056,238,780,047,847,005,760,739,324,197,244,258,098,812,
055,341,302,214,389,219,538,847,083,102,756,175,727,746,731,093,627,978,500,
389,324,676,812,361,633,753,108,317,674,611,728,239,812,096,680,042,141,341,
609,347,975,287,413,354,822,983,124,531,907,743,625,609,055,121,941,013,303,
217,847,514,807,058,954,710,752,134,787,325,120,876,368,336,852,710,117,177,
998,494,016,255,594,366,893,974,917,745,995,310,710,329,691,896,510,361,655,
607,078,316,322,311,400,330,526,927,482,949,642,561,160,836,636,893,351,881,
961,932,067,155,534,291,483,929,719,785,614,696,177,061,579,240,040,307,686,
364,556,944,781,749,912,854,471,965,740,060,248,349,878,972,977,962,844,734,
010,725,244,452,126,124,980,090,452,281,471,014,879,506,656,588,592,512,708,
437,182,252,242,574,952,758,010,407,076,346,406,963,057,883,549,678,391,043,
357,506,581,619,451,724,313,935,036,742,391,384,686,426,558,173,036,933,757,
047,619,589,259,648,565,576,326,468,398,768,532,656,793,730,207,298,064,744,
462,011,842,425,458,509,337,097,412,635,083,527,287,351,480,779,011,992,650,
553,769,971,642,301,579,600,427,948,251,478,155,921,815,867,124,640,224,548,
378,152,522,676,909,427,198,846,531,905,767,899,162,606,617,722,227,818,357,
461,239,878,688,307,199,027,540,135,118,148,356,535,854,780,194,824,552,452,
203,373,874,825,639,157,750,396,324,680,331,059,506,729,756,028,135,767,105,
943,531,555,238,501,012,184,545,476,571,796,201,439,135,409,143,068,294,268,
059,640,382,903,804,733,450,527,077,708,530,244,498,017,544,246,931,486,631,
443,703,738,574,548,957,802,226,691,572,615,521,006,787,997,527,599,727,470,
841,755,542,215,539,047,694,168,457,671,118,604,527,092,410,271,355,493,759,
849,814,043,856,865,836,393,422,059,169,981,492,788,451,449,710,224,575,724,
192,478,470,935,763,660,007,214,866,266,813,035,642,539,826,622,491,198,467,
532,017,997,893,019,620,568,205,573,058,556,825,592,568,370,895,881,603,201,
404,804,012,408,633,816,868,224,342,024,080,836,477,630,670,252,597,472,126,
488,817,026,060,831,707,429,971,243,165,775,231,058,001,440,105,886,547,954,
630,446,246,380,257,783,890,346,039,793,534,220,704,216,672,134,276,221,411,
184,265,897,057,941,978,910,561,703,248,579,906,045,156,523,044,595,459,413,
348,484,466,839,425,428,305,820,266,135,031,799,068,405,021,440,917,877,575,
378,896,211,391,865,749,396,447,504,406,209,937,814,964,774,186,706,105,261,
124,606,204,032,579,709,665,189,326,757,675,933,547,065,849,787,310,906,182,
198,490,928,506,409,652,284,471,823,774,426,461,928,429,768,855,425,333,008,
200,870,029,128,923,520,463,889,705,727,397,433,031,180,112,655,044,652,601,
332,912,567,448,394,598,489,813,317,936,467,759,410,322,068,758,920,398,366,
984,289,098,997,370,209,044,097,278,336,906,900,781,028,574,992,048,103,483,
605,901,795,315,077,644,768,268,926,633,506,774,672,115,218,670,909,608,457,
478,951,432,388,275,722,623,946,512,107,038,931,326,103,599,622,437,506,831,
805,778,703,210,916,490,754,467,350,317,783,109,051,562,854,055,070,366,866,
172,215,583,952,822,779,857,493,505,119,820,892,830,415,758,331,710,137,423,
901,939,673,502,080,820,928,201,291,310,502,954,614,394,733,170,233,041,925,
087,142,205,874,865,720,656,801,117,511,925,394,326,293,004,051,443,365,870,
920,688,613,330,814,928,723,850,194,651,626,961,393,282,607,845,317,950,972,
192,795,149,194,842,630,762,352,613,400,284,839,832,997,264,780,811,210,543,
402,867,311,958,978,134,760,064,542,811,129,731,772,333,645,276,374,884,129,
152,769,569,747,538,034,574,330,005,641,052,278,984,605,072,959,516,632,009,
649,186,795,553,217,094,557,706,355,900,343,358,132,874,675,230,255,986,970,
799,707,204,004,571,759,442,820,335,546,020,935,975,623,590,169,322,177,869,
318,566,078,154,274,697,404,270,098,822,599,753,503,830,835,082,805,921,779,
970,073,501,442,089,190,510,663,294,127,887,707,956,081,858,975,998,378,930,
016,484,448,439,491,167,071,116,711,882,582,357,560,103,188,977,367,318,079,
068,870,771,132,301,961,051,676,980,727,864,490,614,661,606,876,880,807,033,
773,445,752,093,420,438,368,711,640,710,738,129,432,237,924,233,346,933,894,
526,400,633,568,356,414,277,606,298,337,053,673,667,850,665,687,393,633,823,
836,226,301,789,612,155,701,219,742,003,011,752,061,329,354,373,916,805,902,
526,363,124,014,637,566,222,676,521,563,460,218,724,545,918,813,280,882,162,
110,057,327,854,863,749,084,306,403,553,929,775,426,441,047,496,628,845,990,
994,019,154,032,876,624,368,526,316,575,649,522,658,949,432,364,547,254,993,
191,403,883,991,468,713,566,854,837,557,595,961,691,885,508,191,142,074,185,
248,019,457,026,833,812,574,215,529,273,995,186,624,184,010,430,268,765,190,
445,903,111,672,453,596,671,670,926,875,193,015,014,907,224,728,321,882,301,
510,538,858,465,493,981,307,477,984,957,451,765,553,801,173,029,305,332,069,
896,253,335,729,139,542,356,821,602,647,208,746,811,940,863,759,635,212,751,
197,014,975,458,290,253,372,846,883,610,803,156,820,951,891,600,380,032,821,
174,716,574,365,229,340,248,744,776,613,870,459,442,876,721,775,248,719,619,
769,493,784,889,910,733,776,207,952,698,586,812,241,472,911,829,712,515,963,
055,203,619,667,065,106,659,393,417,805,424,600,895,804,775,576,559,522,631,
807,981,689,736,784,017,682,197,093,068,527,234,199,160,744,498,250,413,331,
325,187,645,389,806,249,177,206,561,832,480,020,987,579,246,867,437,233,941,
866,881,302,323,898,415,267,841,429,407,642,543,068,667,137,400,762,356,851,
257,535,618,889,224,556,517,002,282,131,611,649,779,861,346,483,537,580,483,
700,743,919,793,723,377,238,237,788,321,561,101,129,435,393,707,997,788,556,
322,478,575,633,670,190,645,871,503,830,647,542,352,096,262,320,691,165,198,
780,480,744,788,448,904,287,377,031,248,461,113,585,012,982,086,459,338,055,
714,944,432,027,982,020,906,657,686,040,796,721,620,038,412,909,199,812,825,
365,668,015,551,951,218,874,366,283,767,172,088,438,607,974,954,953,265,005,
159,731,071,187,420,928,203,506,352,676,218,672,437,870,186,710,597,534,184,
552,594,147,752,966,533,497,207,289,566,039,485,946,481,000,371,321,305,628,
454,947,527,976,269,877,574,227,953,769,514,144,285,234,123,776,922,415,537,
475,168,033,188,275,320,699,969,474,543,761,965,490,717,006,648,191,642,072,
203,886,794,952,240,426,211,701,806,940,351,232,962,852,094,122,532,596,661,
053,003,569,503,957,255,420,270,792,578,652,000,102,727,225,983,175,494,736,
011,759,368,371,430,271,744,509,340,479,329,564,484,060,269,437,484,353,311,
644,441,612,250,487,917,568,994,728,163,331,053,247,611,142,798,596,968,537,
394,316,809,007,675,666,219,470,928,351,344,980,282,668,052,743,911,672,224,
553,246,872,699,801,357,617,943,845,149,784,626,948,911,923,856,874,667,494,
029,290,805,246,406,151,063,688,804,731,072,841,821,784,565,877,937,846,704,
628,524,271,028,727,620,559,833,517,897,813,565,023,980,611,453,662,868,413,
460,022,039,391,925,614,918,323,098,158,179,184,633,224,577,186,005,996,062,
300,585,157,535,859,501,337,969,491,779,963,763,596,752,610,746,448,904,625,
710,797,945,267,303,684,642,768,743,326,225,162,974,463,034,150,634,704,620,
400,557,360,693,709,446,557,541,689,668,944,940,809,071,045,708,823,892,216,
005,494,239,740,226,866,616,769,338,257,936,442,737,883,398,956,239,765,088,
235,743,418,524,492,181,031,311,070,997,833,301,027,852,649,116,482,937,307,
781,683,543,021,930,085,392,352,080,675,696,923,695,937,205,180,161,315,162,
082,877,790,816,483,318,510,885,026,655,130,038,833,807,542,751,955,873,683,
674,617,795,944,839,518,773,298,426,205,533,579,673,626,652,588,027,879,083,
693,464,313,870,655,949,802,142,161,933,563,764,302,460,250,653,289,363,538,
910,479,998,703,598,787,442,805,264,572,386,269,218,376,189,129,923,548,110,
416,237,002,755,561,729,211,575,628,822,076,885,110,708,544,373,242,361,587,
840,816,845,162,495,260,236,928,261,743,422,227,724,368,314,649,740,271,886,
113,819,211,963,337,979,558,259,999,225,515,017,942,555,008,401,571,243,410,
989,621,846,273,844,402,687,461,006,305,738,398,913,756,876,425,463,074,309,
614,427,789,657,830,490,164,355,635,904,555,693,393,267,638,028,799,408,691,
330,892,397,501,068,785,765,716,504,103,744,252,852,889,255,109,276,864,692,
437,426,481,254,440,299,434,074,868,743,398,144,130,734,289,192,494,602,854,
338,768,918,133,221,561,006,923,948,843,292,753,815,068,617,448,223,433,544,
067,005,126,043,308,587,152,853,436,582,515,931,366,665,466,972,542,112,785,
736,262,724,012,963,209,529,733,363,301,172,030,269,001,475,082,090,126,200,
756,990,636,998,906,091,242,573,244,432,293,175,859,731,570,051,846,078,369,
543,048,290,411,595,053,118,989,057,838,408,724,318,228,322,637,493,568,634,
944,928,751,077,329,565,652,053,670,075,473,770,400,691,050,031,329,191,917,
370,414,165,031,591,840,924,442,882,718,544,739,411,828,700,010,922,168,413,
509,704,313,918,386,336,035,590,747,958,153,233,144,166,655,730,393,747,140,
622,761,026,229,717,163,030,670,557,975,904,303,490,582,925,610,063,168,684,
069,955,545,285,002,295,630,369,743,796,770,349,564,988,976,983,190,849,354,
027,729,264,045,397,951,894,986,513,123,400,575,805,489,840,991,023,843,423,
061,625,259,092,801,229,180,009,691,931,078,276,795,076,726,753,446,534,551,
121,149,929,924,761,096,452,176,779,126,705,379,498,596,255,020,438,474,856,
356,726,719,465,182,818,547,055,211,913,258,429,101,714,432,552,168,822,894,
488,433,621,367,039,652,087,774,626,636,153,397,750,412,225,158,615,707,553,
145,159,050,416,181,314,921,227,998,315,227,751,299,550,942,378,407,729,620,
536,605,675,684,133,285,463,527,849,198,208,247,565,309,315,070,556,518,262,
504,999,900,035,668,328,313,230,813,334,802,422,845,191,356,091,666,312,858,
945,683,141,545,961,771,682,415,854,757,967,859,630,775,688,029,254,029,113,
885,816,259,984,437,172,369,465,357,020,767,986,455,445,093,441,362,816,117,
473,805,304,002,934,521,805,497,190,640,009,116,473,924,489,773,649,659,514,
745,095,647,203,808,697,021,988,202,767,092,810,994,346,988,779,500,790,057,
488,991,842,266,421,177,757,526,481,291,531,196,095,442,193,820,415,124,035,
499,460,582,709,462,654,821,675,507,454,598,084,914,670,134,448,803,550,092,
623,634,544,744,991,044,275,801,833,813,283,476,147,230,798,545,323,452,737,
500,457,203,251,471,889,564,439,156,556,744,639,332,627,201,005,788,062,367,
310,724,141,222,179,151,174,124,354,171,509,262,007,409,451,037,218,484,585,
229,425,337,027,004,941,546,331,547,073,478,929,843,828,065,658,459,104,329,
120,708,003,919,843,947,611,933,425,310,164,271,257,592,419,322,784,039,822,
615,460,027,261,157,422,845,188,040,638,953,412,885,000,956,913,476,558,537,
647,058,472,611,789,661,049,088,842,953,942,779,612,885,767,105,462,249,178,
372,050,681,885,258,324,721,919,414,667,219,789,439,116,420,153,062,723,553,
982,685,534,743,648,198,877,421,291,246,835,883,759,673,732,842,781,053,868,
683,161,877,116,856,594,712,154,038,322,551,733,486,267,604,119,081,518,870,
441,559,549,115,841,640,133,891,128,137,614,386,140,495,919,014,245,882,690,
839,957,663,629,592,867,623,606,073,970,352,478,880,994,413,540,853,656,448,
341,648,365,877,882,654,810,782,284,621,734,203,555,316,612,128,619,192,850,
650,087,238,728,795,702,022,101,685,693,581,539,716,751,014,790,596,466,030,
259,462,354,190,971,215,824,110,555,654,664,050,245,846,759,853,204,015,345,
631,642,214,905,657,479,823,896,337,980,455,858,593,762,352,058,819,463,577,
006,600,062,040,277,402,531,973,286,226,605,715,671,411,510,796,684,054,245,
682,915,900,829,970,110,794,932,417,372,516,923,987,187,753,917,425,223,917,
892,152,530,765,213,061,698,055,518,318,043,838,824,839,937,257,114,376,506,
718,913,846,886,395,889,501,241,214,300,048,131,865,540,469,453,642,546,014,
089,100,773,914,721,010,755,944,092,939,078,713,350,789,201,631,188,653,498,
835,135,321,741,476,763,166,104,554,029,815,308,119,007,000,108,591,897,826,
121,967,011,944,706,909,734,673,499,689,484,010,010,554,814,686,489,980,804,
140,706,648,696,171,657,956,192,302,573,476,798,400,644,981,111,619,212,309,
763,833,551,322,855,407,269,901,059,224,680,049,472,110,345,720,023,204,284,
582,091,677,290,426,675,028,888,201,911,952,282,175,559,042,219,665,320,310,
224,736,499,959,739,945,153,338,299,441,129,600,210,535,376,686,888,333,719,
873,289,279,830,231,481,773,195,025,725,435,010,875,079,596,663,581,729,773,
271,640,968,770,931,442,060,493,041,923,439,065,146,071,850,493,574,382,948,
241,359,422,430,721,808,228,771,096,945,542,228,476,401,404,788,489,328,369,
419,215,932,224,259,310,490,485,746,883,896,820,596,154,248,195,880,927,743,
785,082,187,534,868,963,746,374,529,906,021,510,367,247,185,600,809,904,258,
104,284,912,553,641,071,498,960,067,834,384,400,347,223,493,515,336,027,362,
430,879,212,792,539,881,367,845,231,904,698,229,330,321,630,820,848,673,757,
700,675,868,212,070,340,314,274,699,719,226,083,855,918,476,473,583,320,251,
335,185,462,190,579,842,120,460,837,283,349,025,782,135,394,280,860,742,400,
689,847,811,193,402,102,138,015,069,317,169,251,303,233,385,190,525,303,136,
494,977,740,155,523,855,429,310,660,746,977,106,671,311,025,644,724,064,680,
053,581,498,769,782,929,005,346,122,098,156,523,542,718,185,000,256,539,696,
331,018,059,109,342,756,027,310,791,188,422,427,880,367,227,374,747,750,580,
554,322,706,576,700,978,314,499,287,920,559,944,560,931,681,466,647,185,391,
488,280,170,265,028,542,904,223,067,121,504,294,867,278,650,188,264,827,273,
974,592,244,165,367,301,274,331,277,844,531,139,852,799,142,835,372,132,577,
734,600,362,588,949,029,651,660,333,927,900,983,584,622,679,403,537,836,692,
504,669,671,043,487,721,522,706,149,346,717,300,754,141,226,552,679,749,802,
422,122,246,516,360,729,606,326,141,988,030,595,071,773,052,275,502,610,916,
019,017,974,406,535,474,660,753,870,102,640,172,108,408,962,853,746,310,252,
232,502,728,197,576,809,711,560,346,810,415,718,546,846,658,897,035,210,889,
000,363,784,101,156,557,959,896,535,992,964,719,461,445,188,856,299,520,872,
289,150,629,400,861,629,617,679,682,096,417,362,322,301,823,759,962,243,547,
381,907,284,538,184,584,512,600,672,767,863,333,469,310,924,474,671,993,708,
976,359,226,395,402,532,503,404,785,991,504,865,471,061,134,326,663,179,266,
788,057,696,049,876,316,894,458,277,516,524,190,070,411,813,233,827,752,935,
114,060,563,333,441,598,558,984,791,540,729,474,821,127,563,046,133,487,829,
275,040,545,843,425,757,856,390,184,412,835,380,140,910,437,060,935,095,137,
959,647,796,435,473,328,022,904,102,471,609,978,236,710,545,257,538,312,807,
012,073,429,206,042,589,748,787,736,178,575,830,376,625,497,188,428,608,906,
920,242,805,719,765,374,567,202,689,352,783,611,015,660,907,446,166,391,819,
455,798,716,902,370,450,575,699,515,771,362,617,573,910,710,560,433,995,290,
443,569,115,496,273,995,913,889,846,179,896,031,483,308,016,764,199,244,214,
794,583,629,253,621,307,692,958,717,224,299,654,413,638,777,037,385,217,313,
780,971,807,881,302,473,937,491,462,979,347,409,709,293,968,217,913,158,632,
485,419,851,614,461,408,585,773,478,359,191,181,772,498,339,672,312,801,843,
447,090,435,379,645,545,189,324,584,380,366,829,453,917,570,901,462,193,206,
904,056,373,240,913,548,568,965,753,227,521,548,299,743,083,766,567,402,391,
090,899,805,344,424,034,547,671,158,692,741,003,484,249,967,875,765,775,004,
295,425,724,639,424,804,593,426,567,700,716,830,834,843,319,550,177,890,693,
495,128,127,238,373,457,869,816,561,766,860,482,702,062,488,616,300,088,842,
209,595,075,933,593,174,876,265,768,595,941,801,965,315,967,859,599,889,355,
726,298,288,726,620,286,053,614,262,333,515,251,436,566,938,091,976,842,839,
729,147,870,169,036,524,295,137,272,158,252,877,416,816,663,325,355,118,233,
484,085,933,689,801,642,954,280,242,067,353,418,866,323,073,032,565,149,929,
759,424,027,289,542,896,273,905,165,309,889,763,600,132,148,785,734,974,210,
846,456,175,924,931,322,834,679,526,946,019,622,982,494,704,291,906,388,260,
193,557,295,851,659,532,591,072,674,868,345,732,133,498,435,101,750,793,363,
655,744,343,974,584,865,788,662,543,183,823,641,692,683,249,679,178,105,717,
854,806,806,039,591,187,761,232,426,045,336,130,691,879,504,782,696,636,300,
411,733,651,778,649,559,219,233,860,586,749,712,111,397,455,076,140,972,832,
620,105,046,795,745,046,966,134,933,427,229,949,144,971,743,791,054,179,234,
234,933,466,434,898,870,486,421,616,345,760,186,193,698,031,819,176,209,412,
552,278,454,442,283,861,035,278,355,015,895,472,522,555,278,937,146,001,808,
950,518,570,163,885,212,337,153,982,388,711,031,401,384,328,727,499,925,541,
953,681,351,428,409,261,156,846,621,845,368,132,513,065,266,308,223,002,487,
904,814,623,765,929,204,230,254,230,023,873,765,308,584,537,149,149,868,446,
305,112,869,463,264,279,859,467,151,867,481,811,139,224,891,513,525,052,373,
127,596,912,692,282,441,120,302,634,300,061,737,733,901,417,852,966,763,311,
362,722,152,480,239,580,701,035,848,313,111,486,177,696,720,912,469,666,543,
909,829,406,435,891,796,168,824,189,506,508,925,821,568,610,597,377,253,813,
236,439,231,007,874,691,814,127,840,037,857,172,275,077,829,713,908,696,814,
813,751,356,081,040,380,241,440,527,067,362,940,939,757,130,051,941,998,199,
270,374,881,252,155,358,205,956,786,731,586,087,232,743,785,177,478,548,603,
973,958,769,209,264,850,060,869,942,652,531,721,853,504,758,212,783,957,220,
235,569,990,759,382,014,932,136,069,651,748,854,538,273,881,177,909,964,301,
931,156,615,297,006,045,557,510,963,490,660,980,785,384,279,986,244,773,177,
895,093,008,667,856,815,723,022,069,739,499,548,471,690,549,277,143,031,550,
573,896,196,116,858,494,938,384,978,598,627,096,604,146,586,452,939,888,015,
218,194,738,685,080,614,002,871,334,277,828,479,953,837,995,862,108,926,488,
536,718,094,785,906,153,537,723,248,958,253,359,050,864,670,504,454,555,930,
286,327,395,265,952,619,817,739,037,083,991,938,385,996,598,944,013,160,875,
545,019,454,545,189,680,042,392,298,452,055,089,459,841,629,598,028,217,724,
075,842,813,399,210,468,181,071,897,178,650,167,582,946,755,781,838,807,781,
085,670,592,825,777,719,469,823,622,752,954,980,148,706,827,670,337,963,551,
964,240,766,063,579,764,746,756,627,817,711,846,570,240,198,383,407,223,027,
161,032,900,033,662,052,474,234,686,659,720,710,280,096,307,608,573,507,996,
948,597,187,000,788,473,634,026,295,068,103,347,961,078,676,568,336,388,364,
830,538,651,078,981,058,202,081,138,646,052,352,024,679,222,589,876,237,991,
486,198,994,477,363,422,613,865,510,652,087,852,098,995,110,734,481,517,290,
898,704,850,627,700,692,443,927,484,546,324,595,705,703,971,172,627,429,078,
785,666,861,979,860,079,206,495,473,560,319,034,256,928,576,256,321,502,369,
330,474,244,081,636,001,468,490,807,694,288,674,947,170,656,429,445,641,720,
807,181,536,651,680,665,110,402,203,978,190,103,958,011,253,525,567,139,467,
485,479,663,156,702,573,472,223,761,551,206,180,352,895,038,967,345,344,833,
744,306,175,108,203,367,147,075,006,037,739,620,267,240,504,711,729,374,710,
718,969,317,698,161,328,537,972,001,196,903,092,550,239,754,210,439,635,857,
044,062,021,647,099,785,141,442,654,646,728,364,204,653,397,195,997,816,286,
416,410,146,634,017,827,647,669,847,726,814,503,885,073,139,969,062,164,858,
701,240,386,736,285,354,401,793,487,621,777,243,582,193,366,998,944,272,460,
330,453,217,075,613,757,885,899,611,188,369,663,024,803,945,359,575,586,159,
897,796,064,247,576,165,689,120,993,539,117,751,420,289,352,101,025,795,450,
521,689,581,556,869,998,555,643,644,150,372,872,251,857,113,198,690,864,892,
523,626,721,721,498,543,158,460,685,588,595,873,879,827,418,008,351,949,325,
094,430,734,289,653,357,010,900,162,360,332,678,918,621,962,302,926,943,416,
091,162,453,949,471,366,577,246,377,178,914,270,183,823,107,950,256,656,278,
761,252,350,603,137,263,862,601,641,383,667,231,077,589,997,217,118,153,069,
724,385,252,276,718,281,159,837,638,007,954,684,538,165,568,950,642,703,984,
239,383,043,367,532,814,838,277,032,540,810,067,566,107,814,024,583,589,989,
031,638,969,317,938,902,427,099,447,565,373,069,728,807,772,273,595,300,406,
466,186,923,161,669,001,270,075,916,334,546,143,394,510,923,544,206,241,484,
667,243,225,550,391,173,441,799,672,952,986,029,695,387,215,229,106,999,579,
666,305,536,484,074,425,230,990,066,776,414,491,250,265,554,962,427,406,576,
886,535,798,223,717,837,341,378,384,748,398,396,113,895,182,035,894,229,894,
447,497,467,083,120,183,011,533,336,519,697,017,498,354,967,233,352,871,657,
271,045,846,091,561,503,109,642,507,897,023,027,030,927,456,750,770,536,176,
813,164,469,891,316,933,627,390,424,492,974,316,166,686,956,338,570,271,093,
316,622,131,222,484,625,678,250,589,322,852,299,769,222,970,538,723,427,784,
423,415,173,625,161,900,658,112,844,050,080,967,067,998,492,293,028,772,571,
401,029,770,240,770,071,671,383,321,645,400,559,083,484,863,860,573,182,505,
440,857,996,046,129,669,225,301,711,413,186,261,117,789,784,490,620,462,189,
013,878,870,267,463,841,761,284,988,322,521,395,311,855,162,122,513,078,318,
298,678,129,629,649,080,142,308,926,752,506,019,879,637,067,283,662,182,129,
137,356,191,360,303,853,255,116,870,345,334,730,925,172,406,989,426,322,911,
326,086,786,679,209,639,571,103,116,679,661,153,314,931,162,262,024,774,861,
199,831,425,672,032,184,580,664,557,267,712,293,168,274,828,334,625,670,007,
351,379,592,599,775,919,733,187,509,208,204,409,407,899,663,894,856,776,333,
063,470,282,411,061,488,417,673,184,779,295,795,165,824,429,251,487,686,610,
142,532,179,599,869,777,537,067,894,435,542,564,655,509,508,643,915,523,461,
061,423,218,449,639,428,223,859,264,079,369,676,354,992,212,312,093,611,750,
997,859,913,814,867,437,214,169,925,287,236,492,182,352,495,581,059,694,982,
929,789,263,045,799,359,760,044,588,609,098,928,475,344,236,953,183,937,269,
758,210,184,644,919,958,815,209,084,805,170,589,223,342,896,003,437,165,112,
254,474,226,732,921,442,716,113,242,785,952,886,837,252,196,031,382,929,143,
903,118,850,412,466,252,342,637,653,722,881,324,779,152,072,014,520,988,395,
718,653,053,248,917,038,650,482,682,072,780,729,138,334,137,516,649,864,626,
816,748,662,197,831,085,447,559,990,869,099,594,644,420,819,245,306,117,099,
274,706,998,897,610,705,920,388,317,681,522,728,427,225,495,564,059,016,767,
003,923,952,276,365,709,780,373,600,377,905,639,820,167,531,673,012,425,101,
597,371,393,872,539,990,941,957,097,375,266,267,793,867,875,140,378,088,796,
009,870,631,694,415,014,386,046,362,266,400,056,947,544,033,543,883,685,672,
570,806,372,203,950,111,641,473,452,865,267,426,478,885,174,792,522,250,434,
817,438,042,211,977,618,468,108,948,223,239,534,989,814,732,030,859,578,260,
830,637,360,595,425,216,537,629,302,430,400,731,349,961,721,744,996,999,943,
797,947,460,918,104,714,078,634,252,926,786,930,220,894,716,245,257,657,578,
186,996,802,184,335,971,713,318,120,036,480,887,389,686,163,268,027,763,153,
315,635,065,231,034,646,041,781,581,982,022,108,088,082,263,857,118,783,490,
230,387,042,727,359,227,478,726,658,892,671,710,424,102,336,018,645,641,565,
970,143,506,869,436,308,916,637,959,220,136,722,258,676,229,437,255,595,703,
553,208,933,626,081,342,310,992,249,217,210,496,054,474,229,645,226,279,132,
850,827,055,026,557,390,951,028,638,827,482,794,535,418,098,738,361,591,620,
563,950,174,829,643,675,037,971,788,238,599,319,852,376,883,218,661,938,440,
514,198,715,773,595,876,158,645,523,275,434,691,301,633,351,946,241,293,714,
285,553,758,408,670,073,673,125,666,269,476,258,408,563,946,390,467,767,714,
599,487,066,655,896,921,720,518,969,933,085,238,931,382,654,859,977,200,238,
620,238,996,162,470,845,077,014,921,733,750,148,654,399,896,261,580,067,681,
708,615,052,613,457,744,220,302,831,152,227,665,524,184,653,272,295,753,460,
225,240,234,508,133,878,863,625,890,846,567,604,645,295,552,638,709,915,115,
991,463,609,708,626,249,732,707,363,837,852,522,834,129,057,555,945,640,282,
601,478,611,042,429,398,897,830,587,130,112,660,163,331,896,561,034,890,435,
664,092,198,145,498,127,738,297,226,974,218,643,059,835,894,921,389,000,007,
238,950,303,362,910,812,962,862,326,910,574,823,455,990,663,916,699,659,501,
628,007,947,253,521,918,461,927,655,133,092,623,339,399,382,399,328,196,276,
891,008,246,851,446,877,982,886,783,941,178,494,406,377,615,891,159,300,137,
909,447,373,897,636,571,750,229,823,046,793,259,054,822,007,773,749,386,664,
304,735,726,603,509,420,887,661,558,728,614,535,241,105,361,630,667,554,808,
530,833,156,794,854,872,652,530,990,107,812,284,339,977,789,003,945,193,199,
152,492,745,549,649,594,388,252,418,066,631,201,877,449,530,285,873,611,137,
646,889,963,506,079,574,138,985,142,969,654,728,694,079,150,976,705,792,531,
840,567,647,812,571,426,851,113,208,174,978,546,786,156,684,766,704,106,726,
074,488,179,305,993,293,119,553,006,215,022,871,932,096,849,811,019,636,398,
286,378,125,917,079,430,961,939,438,734,801,831,256,185,007,801,171,214,952,
393,096,931,875,779,317,026,317,143,470,104,424,643,400,854,574,525,809,027,
072,487,178,301,240,714,109,833,481,608,246,386,471,015,397,545,911,910,246,
969,859,902,465,607,278,250,837,772,489,668,062,765,138,541,214,415,231,512,
743,634,170,207,527,145,362,719,360,972,473,392,483,525,637,061,199,279,658,
239,686,043,956,386,733,431,320,202,475,606,919,521,785,000,082,101,386,781,
938,736,494,903,102,092,178,852,770,123,436,658,885,821,170,031,025,878,558,
430,566,039,018,596,974,100,569,139,906,777,220,786,553,677,071,460,609,098,
614,005,346,714,380,342,883,598,431,499,619,899,993,101,065,785,731,436,967,
192,637,533,600,940,383,319,982,767,095,431,740,725,954,559,317,863,140,400,
632,965,515,126,598,188,682,976,697,846,792,047,084,724,649,140,158,178,110,
983,212,431,832,712,545,693,098,772,742,441,964,126,101,117,603,093,800,414,
396,183,112,716,557,184,639,242,009,202,815,737,182,000,598,823,052,531,910,
161,177,104,984,433,936,993,847,914,194,908,592,781,295,636,077,735,504,272,
033,426,263,957,801,922,424,950,469,842,612,816,605,049,237,651,116,061,627,
327,773,875,585,216,574,684,343,175,536,024,779,593,801,743,554,650,645,249,
292,091,712,427,066,637,300,481,136,420,301,018,375,676,958,259,475,100,987,
096,019,039,925,572,998,134,932,531,495,957,738,450,677,150,453,416,745,239,
622,752,684,379,213,169,656,833,949,464,176,096,210,929,120,990,996,560,948,
345,636,477,229,948,891,706,958,704,148,317,260,262,468,935,946,444,794,834,
566,414,252,143,524,772,318,374,996,212,903,962,608,506,591,063,411,518,442,
697,617,628,269,372,142,558,430,099,651,588,237,115,995,871,986,604,869,533,
577,919,295,389,977,897,283,042,838,794,850,872,405,584,007,111,110,027,737,
392,453,728,986,175,180,060,732,341,285,226,173,519,526,392,620,687,623,823,
315,161,105,966,295,490,195,828,545,438,749,886,101,730,337,962,433,323,190,
519,337,371,848,814,313,105,677,074,153,661,231,456,419,878,649,498,853,209,
066,927,899,545,707,724,431,172,459,112,472,349,503,237,550,948,505,496,051,
964,435,120,627,884,902,041,844,105,069,220,286,990,269,728,959,215,091,353,
483,335,917,431,615,152,663,427,326,119,289,030,330,368,683,156,504,421,777,
989,942,483,466,193,634,283,476,059,548,222,808,219,148,916,535,459,401,925,
378,049,339,464,110,458,257,916,646,538,662,071,055,581,692,548,926,866,878,
376,134,731,042,113,114,365,126,031,375,753,541,235,408,774,066,819,760,659,
838,626,524,198,380,568,487,191,084,831,960,065,298,099,215,891,375,919,186,
648,269,654,935,785,269,831,054,778,884,256,054,581,429,188,422,568,335,803,
337,657,538,751,582,583,614,527,770,539,218,844,715,408,810,825,520,792,690,
484,825,427,087,117,215,734,891,909,512,981,397,907,314,160,331,035,027,990,
926,837,562,908,407,818,944,317,250,612,202,649,460,177,672,580,446,286,412,
715,008,129,543,836,591,394,972,529,296,924,306,882,753,375,568,047,644,547,
276,583,610,558,669,998,873,531,190,789,525,428,421,528,835,422,995,189,222,
388,054,538,297,973,339,508,223,839,511,740,986,669,864,959,120,533,475,662,
189,228,249,604,625,660,687,340,658,113,877,111,323,755,374,136,121,314,228,
492,124,909,636,261,197,617,219,671,414,389,894,970,949,819,749,102,914,400,
825,863,141,997,598,118,454,655,524,528,900,929,604,378,731,227,059,213,995,
215,105,872,515,435,230,916,143,443,286,926,233,187,382,080,622,376,060,727,
100,000,547,697,327,435,970,388,774,555,806,102,467,556,150,857,474,277,246,
449,401,132,988,485,294,162,930,531,066,125,297,290,185,398,079,018,930,365,
876,410,580,085,014,255,291,835,705,878,034,551,604,361,654,678,817,902,394,
148,398,291,248,660,503,563,711,041,805,098,549,316,588,805,225,571,258,182,
006,426,145,332,967,285,612,902,460,306,598,235,648,292,282,374,143,338,897,
531,401,711,010,069,980,599,071,035,257,837,768,432,990,839,507,313,795,296,
683,856,171,076,078,107,225,185,949,519,267,659,114,183,709,179,777,212,053,
421,066,640,282,401,753,212,801,518,670,470,150,450,689,623,040,942,201,598,
592,819,044,958,738,823,157,442,479,567,445,263,394,217,961,897,857,041,200,
635,577,341,673,351,941,067,326,180,864,258,029,762,566,931,739,865,429,571,
346,648,118,393,075,749,813,117,800,436,034,993,968,150,233,814,028,107,212,
559,586,480,199,452,968,351,410,534,061,916,433,671,109,669,001,121,812,175,
464,492,956,297,876,347,366,803,707,234,721,699,451,104,742,346,574,304,978,
048,145,658,572,612,848,257,890,350,509,014,207,963,376,372,050,376,052,153,
331,054,810,402,555,384,626,497,947,079,495,358,563,525,388,213,072,208,010,
002,470,640,743,528,771,444,943,288,642,184,395,493,999,597,444,472,205,499,
620,212,206,294,089,198,461,824,669,274,843,188,935,943,287,264,069,533,967,
464,158,479,922,490,360,894,466,762,375,964,590,045,719,932,778,985,263,823,
589,455,256,964,977,934,385,646,988,168,063,841,973,160,572,961,769,683,820,
695,009,869,061,002,682,601,832,707,767,679,997,411,463,660,249,373,167,559,
746,460,251,275,185,297,502,400,060,833,095,380,899,893,901,552,529,791,946,
392,589,823,608,486,426,640,927,089,909,964,315,003,298,694,257,614,103,295,
162,669,796,812,701,801,449,356,815,277,150,497,698,722,354,101,615,315,282,
850,260,258,244,516,771,321,273,577,329,154,282,430,847,851,030,960,667,841,
146,031,603,613,384,960,054,053,440,354,932,755,627,658,415,765,894,051,107,
004,465,757,373,708,268,339,558,256,490,646,688,007,333,585,239,349,285,703,
356,046,084,187,631,557,310,506,102,811,500,880,266,450,614,451,937,267,990,
893,243,438,845,642,913,996,235,361,924,923,522,565,591,191,808,854,622,947,
757,280,634,210,230,042,994,771,125,840,654,753,919,100,236,957,755,703,142,
846,043,222,709,781,842,286,519,287,861,699,161,418,101,182,238,602,903,536,
509,945,555,957,374,402,403,355,560,478,771,332,389,492,484,701,529,977,187,
334,602,609,305,927,757,388,005,713,118,097,881,744,365,800,324,447,358,465,
793,645,505,071,149,769,046,158,426,646,186,306,330,756,498,019,088,964,906,
219,738,795,436,524,350,049,850,763,555,357,536,128,219,536,622,391,774,875,
619,293,285,163,064,892,697,912,272,588,639,996,151,702,655,068,406,773,161,
082,254,526,288,490,165,645,625,155,479,938,264,562,869,415,798,841,979,474,
509,618,721,691,676,636,287,313,329,976,818,976,822,637,528,915,950,146,758,
011,240,680,504,586,435,695,611,546,296,229,545,971,251,054,522,585,300,917,
320,117,998,054,097,391,069,154,473,000,102,344,932,497,856,100,006,235,051,
853,765,338,518,043,389,817,418,943,880,632,261,631,069,138,133,984,749,141,
060,443,840,019,560,074,586,278,920,537,164,275,946,440,096,680,422,489,094,
052,118,133,520,009,343,419,722,004,993,464,887,617,198,476,231,013,934,783,
537,508,220,246,584,587,095,414,597,749,449,908,473,953,222,973,369,157,389,
753,428,325,635,145,478,287,701,527,954,945,170,983,640,345,189,376,568,156,
478,331,058,394,491,263,869,018,665,257,409,440,325,885,293,407,698,647,245,
874,725,466,566,664,823,730,204,320,397,285,478,050,445,293,136,343,080,210,
091,755,084,274,734,294,619,362,876,640,173,470,227,684,772,683,523,479,751,
791,436,374,676,556,365,028,115,053,688,620,333,640,206,746,550,712,496,760,
273,054,829,559,749,807,757,594,864,721,147,611,999,611,897,619,225,822,504,
203,463,805,173,364,221,482,915,515,262,122,349,711,677,482,759,609,471,670,
480,833,460,255,019,351,930,276,870,204,839,164,403,956,635,855,985,874,303,
081,507,005,390,404,649,359,760,685,762,384,467,348,131,725,549,028,042,833,
731,091,060,119,102,386,533,363,090,183,351,788,124,875,147,793,361,630,562,
578,167,638,065,297,046,954,231,412,189,933,194,922,084,390,416,969,206,643,
380,851,198,632,902,739,572,489,388,934,409,078,396,097,790,940,246,207,073,
634,730,188,765,790,053,861,376,573,682,740,103,596,899,671,970,888,129,930,
587,082,890,170,429,114,963,306,889,064,869,224,363,359,536,442,370,724,018,
320,781,465,320,823,996,468,366,245,544,523,259,992,162,442,748,795,224,420,
421,795,036,333,242,641,675,452,141,715,966,298,003,610,455,204,346,232,088,
305,510,896,481,599,811,357,499,662,019,387,507,331,767,932,336,359,764,757,
480,408,825,059,625,519,586,257,525,167,977,075,426,878,702,682,166,359,692,
553,644,034,055,368,768,161,824,857,539,168,366,620,588,953,576,777,857,730,
215,129,451,175,540,234,118,709,170,140,744,325,257,356,693,213,298,695,223,
058,602,749,676,546,393,452,053,056,985,670,746,547,032,167,838,469,071,221,
403,362,133,985,212,751,920,892,661,825,375,886,080,540,199,363,830,791,518,
846,235,689,370,748,746,435,410,064,848,461,188,074,140,527,008,738,663,767,
963,289,598,893,372,393,999,687,943,276,426,694,784,458,677,311,610,414,647,
503,611,619,268,931,320,695,575,332,567,548,556,988,601,102,905,306,244,852,
677,854,848,047,015,039,533,187,396,806,832,164,899,605,624,010,236,488,711,
845,287,221,172,608,949,491,802,046,234,107,171,829,404,195,962,454,556,190,
581,191,100,782,390,303,309,696,510,569,976,605,490,146,580,194,206,229,615,
396,249,631,353,787,112,189,654,808,776,204,522,771,750,238,767,581,871,544,
003,088,807,330,147,605,152,181,277,537,180,309,293,933,953,627,591,806,673,
460,348,629,000,590,095,013,750,994,210,799,831,260,409,619,390,191,152,873,
283,274,145,676,922,121,500,891,444,259,261,157,447,250,575,273,862,863,988,
180,732,769,386,385,678,714,780,318,515,353,368,246,055,006,333,551,727,500,
808,349,205,278,992,410,734,756,590,946,183,615,198,653,679,000,585,517,802,
826,315,488,871,893,486,004,779,098,961,841,998,129,018,843,371,809,688,999,
565,324,450,040,039,147,102,345,384,264,045,720,316,703,055,000,977,362,385,
336,258,012,267,938,252,845,734,829,370,879,010,389,462,125,524,678,165,371,
811,306,097,196,525,613,111,080,526,304,376,543,156,696,835,241,724,545,849,
609,527,655,046,746,620,853,101,918,677,727,661,475,303,364,966,518,838,764,
120,698,035,212,120,871,769,030,183,400,538,851,697,118,572,348,594,248,803,
117,853,471,734,733,343,092,562,838,369,791,674,089,079,278,298,423,429,253,
106,237,379,464,492,961,783,072,485,032,247,124,265,099,208,577,599,849,740,
748,038,496,102,133,209,703,280,298,088,537,770,691,993,217,714,521,876,000,
242,660,942,307,580,254,107,059,511,630,034,655,053,641,589,319,271,567,602,
650,970,170,342,827,150,482,668,957,447,670,001,634,691,009,987,721,782,374,
825,659,864,148,308,333,566,084,112,925,578,291,113,452,067,014,842,779,348,
430,753,541,096,177,941,453,493,543,060,645,286,946,581,221,802,764,708,623,
550,873,184,010,766,057,508,563,251,612,527,547,521,605,876,628,249,598,080,
967,403,082,002,219,165,543,434,687,510,597,256,645,228,484,506,065,617,245,
280,715,553,430,663,842,130,097,605,897,446,712,200,781,418,253,894,293,782,
542,302,876,982,350,985,207,798,005,319,922,254,618,355,500,562,026,381,716,
412,081,261,805,349,506,669,835,013,642,769,812,344,587,001,456,298,751,714,
500,922,277,030,525,698,657,898,447,297,382,650,205,916,084,123,486,064,124,
192,280,148,451,029,403,101,674,429,306,117,226,444,004,869,168,111,131,271,
177,155,037,304,514,653,972,537,192,860,568,088,913,359,142,012,717,849,200,
231,753,131,098,387,568,021,205,304,115,527,350,540,642,197,765,076,863,115,
816,931,673,505,608,392,017,724,820,912,570,245,866,146,513,613,213,052,445,
620,212,916,818,065,962,378,995,060,704,531,575,256,103,730,269,855,479,134,
704,588,219,097,848,686,648,751,421,174,590,819,299,972,196,758,448,582,049,
594,174,208,997,804,541,615,233,350,252,241,471,523,463,427,119,610,504,851,
772,680,222,784,733,405,591,587,860,740,256,063,476,318,623,731,217,864,704,
798,979,051,982,046,380,845,975,910,569,927,218,679,654,923,083,507,275,641,
486,777,347,527,951,756,160,922,632,682,069,262,499,649,892,057,469,833,464,
687,532,072,222,095,136,628,203,428,140,218,144,825,665,441,369,315,987,490,
524,802,243,752,122,076,193,822,689,699,038,457,069,270,004,135,439,277,842,
213,379,719,888,675,120,750,945,418,312,879,346,291,467,877,298,246,790,692,
918,625,472,956,923,929,157,609,631,093,942,701,551,829,583,830,477,518,525,
072,343,575,742,439,006,734,979,108,646,569,097,489,523,568,385,787,387,057,
809,344,871,154,132,172,563,783,017,475,437,956,291,569,140,173,680,937,276,
420,989,849,735,236,939,891,292,313,118,650,715,444,755,212,935,277,563,861,
831,083,169,646,866,837,958,086,211,123,924,310,885,624,469,146,019,493,092,
089,140,525,999,002,121,399,998,695,605,413,776,686,603,078,966,655,607,851,
520,604,529,956,843,107,063,012,573,847,931,909,988,247,930,160,965,109,746,
778,205,009,942,712,172,519,706,290,199,455,018,018,339,911,574,649,721,268,
575,686,384,371,485,306,980,868,312,782,568,254,182,494,186,030,282,647,782,
163,762,348,883,304,466,681,279,590,126,601,618,713,353,950,811,017,248,704,
783,580,636,118,198,983,289,551,046,486,429,979,470,051,622,469,926,778,837,
991,744,119,896,813,299,929,008,148,777,816,177,347,784,926,943,599,466,099,
136,412,735,721,563,509,563,179,858,964,248,343,832,536,307,182,504,752,583,
464,022,232,237,937,119,857,211,200,676,374,256,339,871,617,141,121,837,368,
741,896,148,822,961,096,294,673,922,362,493,590,475,468,309,256,434,699,970,
098,851,811,570,413,479,204,569,232,249,090,066,365,556,480,214,576,449,369,
246,002,582,432,664,154,328,537,334,688,184,538,233,319,661,474,097,568,482,
353,680,390,104,243,223,660,260,616,420,078,970,962,926,413,638,108,125,150,
693,888,408,177,260,126,345,701,743,807,217,708,939,158,722,362,702,218,192,
837,397,050,010,250,518,550,746,550,294,986,549,721,211,780,387,796,805,232,
703,171,254,623,794,609,897,665,555,663,180,465,914,498,857,273,455,364,239,
971,703,540,166,740,518,036,391,058,459,038,214,043,579,707,738,984,720,566,
696,548,613,162,214,772,131,598,687,066,565,967,712,803,504,961,872,799,739,
575,665,324,018,163,579,714,658,818,548,861,436,666,229,189,399,360,096,995,
675,772,754,943,717,243,357,796,004,657,059,692,660,910,298,649,918,465,341,
271,242,554,947,171,875,873,463,052,426,343,338,434,625,080,285,502,005,846,
731,106,856,385,946,560,928,944,324,400,422,238,306,937,150,385,828,673,821,
458,653,255,545,439,096,085,104,905,430,528,465,144,780,907,419,910,329,541,
112,731,209,951,181,366,999,511,583,406,612,578,606,597,929,923,524,911,174,
984,889,923,586,439,197,595,635,680,121,204,548,038,489,244,672,264,417,772,
364,732,852,188,558,336,081,108,013,190,370,151,273,779,216,300,340,111,079,
756,736,164,359,312,819,950,896,142,672,331,497,000,827,555,922,281,334,297,
368,558,992,355,801,340,012,738,492,112,070,798,953,879,392,795,365,988,865,
993,801,092,819,324,358,215,716,485,366,317,767,150,842,702,182,932,130,572,
345,232,583,562,240,630,134,725,481,731,309,834,307,648,684,078,524,252,496,
612,341,000,696,788,995,057,395,468,359,869,297,769,024,054,512,638,973,742,
346,912,851,046,129,960,846,533,337,301,229,864,381,026,501,553,904,964,581,
870,193,376,944,205,590,153,109,562,520,377,743,519,023,636,709,915,421,770,
430,783,606,597,689,918,814,050,853,514,270,052,977,788,254,803,300,355,272,
954,050,929,318,815,310,763,450,498,024,346,320,660,301,583,527,520,320,493,
552,830,445,172,671,662,783,253,001,939,614,502,612,301,645,642,112,466,531,
306,229,260,454,455,800,894,834,205,174,437,118,030,807,402,760,041,294,970,
061,890,414,714,418,256,283,710,744,258,907,528,046,039,958,308,163,813,604,
591,087,740,191,971,855,433,163,960,053,519,627,491,582,899,756,271,610,061,
603,947,467,624,062,217,861,877,257,741,003,446,109,595,802,955,808,150,294,
999,825,281,694,512,418,421,685,501,818,407,799,586,271,782,836,001,270,004,
535,943,027,326,177,335,326,710,869,818,282,846,830,716,745,134,976,469,853,
693,667,204,597,933,837,070,708,858,382,573,977,177,638,800,430,052,554,108,
611,118,880,384,525,775,933,148,293,147,079,637,856,333,965,767,466,927,385,
923,537,175,280,188,381,546,581,496,173,528,220,698,094,968,796,436,908,849,
464,993,088,794,845,960,450,720,910,046,573,309,770,509,003,181,678,573,253,
056,832,868,963,251,745,777,565,175,234,597,119,594,681,235,659,310,859,451,
886,270,044,401,673,401,805,280,390,232,905,658,113,882,593,860,565,178,623,
606,781,714,237,500,841,083,420,040,934,052,630,101,721,740,314,990,720,973,
474,543,441,071,758,946,855,158,590,268,910,412,966,581,077,877,624,434,606,
389,590,310,101,982,329,501,243,626,849,207,052,787,478,627,975,919,097,958,
795,129,518,667,571,935,539,612,282,383,893,377,683,920,877,030,772,132,868,
131,869,734,978,349,475,863,600,443,116,900,189,154,073,135,463,409,505,482,
127,116,186,281,800,671,771,383,890,520,957,294,859,023,065,777,471,794,866,
262,190,669,009,932,637,049,416,305,016,572,061,432,436,034,599,908,713,285,
226,453,663,653,199,896,383,571,427,828,755,039,097,256,391,695,401,993,723,
967,174,199,215,795,753,004,837,594,510,120,861,399,078,481,053,084,495,856,
980,990,888,834,173,229,974,607,605,992,831,962,548,683,418,849,801,681,479,
940,837,430,895,012,928,693,368,144,044,784,661,896,314,732,772,521,438,613,
040,376,210,345,612,726,290,715,935,743,198,096,159,381,384,750,470,696,952,
894,939,792,627,338,255,660,904,827,983,279,631,707,646,646,303,427,712,015,
077,242,749,972,361,122,428,429,093,145,169,083,956,259,340,095,338,804,048,
651,870,922,641,069,078,466,449,265,014,175,265,542,503,020,447,906,159,916,
161,707,455,682,274,796,448,711,068,875,278,725,391,155,646,870,780,046,612,
782,334,644,127,025,829,336,605,503,852,740,146,850,870,516,241,590,291,551,
693,080,673,322,240,308,182,963,525,716,642,014,111,924,891,178,565,997,624,
714,548,331,678,630,554,920,940,245,145,960,139,879,268,679,433,143,918,173,
724,233,434,411,298,174,677,225,097,591,543,601,654,246,706,794,516,031,946,
779,556,411,098,457,329,593,442,138,576,415,778,893,651,813,496,790,568,264,
742,674,598,827,056,855,968,511,213,885,957,744,391,320,664,127,843,715,848,
021,791,308,858,534,135,565,662,692,548,987,435,044,714,150,882,700,422,357,
018,851,379,442,548,298,174,692,293,651,904,906,770,292,274,538,293,924,751,
146,939,207,584,465,778,650,037,929,722,930,649,501,092,109,431,409,357,672,
927,685,033,764,556,763,170,866,208,047,424,330,203,099,606,641,043,175,968,
769,161,687,850,324,492,522,487,158,895,382,453,390,884,753,768,448,087,718,
062,650,063,152,892,440,418,150,550,408,844,883,197,115,850,606,564,095,530,
221,830,091,587,441,812,643,373,074,792,235,176,682,782,947,435,638,347,276,
191,868,118,913,261,373,232,201,460,834,431,661,840,381,186,414,197,274,634,
903,798,735,478,984,153,741,547,167,084,743,353,098,767,025,606,172,730,987,
790,260,105,459,539,726,119,192,276,074,647,933,889,383,547,752,053,894,705,
290,013,489,201,300,520,010,087,000,630,305,217,492,818,477,144,803,624,904,
514,668,089,841,326,631,095,974,117,200,992,400,462,803,505,164,317,071,563,
922,326,586,014,714,062,181,957,079,754,340,158,996,084,028,881,868,026,109,
310,778,181,557,903,112,755,172,090,100,584,696,793,215,997,627,856,131,080,
471,869,721,795,422,611,026,536,253,154,873,749,084,115,135,412,310,680,660,
448,248,989,947,244,272,086,615,386,207,026,982,881,168,548,023,312,347,477,
410,085,762,685,577,028,128,753,169,618,501,659,478,408,663,608,034,123,983,
778,354,278,934,551,111,171,402,909,115,124,543,007,301,797,704,947,944,735,
805,782,180,974,904,136,958,397,359,948,010,802,209,624,613,359,178,094,557,
665,920,161,992,444,814,436,202,219,449,418,086,957,005,034,866,314,030,880,
255,131,614,841,616,673,372,735,520,710,455,106,115,626,059,277,824,486,110,
160,097,643,431,371,857,346,289,304,009,970,968,544,367,232,678,936,267,180,
781,984,329,077,593,784,142,354,013,201,174,231,601,470,678,979,097,899,527,
291,097,538,070,561,311,379,342,867,712,545,862,971,572,584,089,893,128,887,
842,865,214,062,694,328,600,895,242,335,536,090,667,026,242,482,280,242,212,
535,971,267,059,273,278,985,587,560,722,249,616,367,834,568,410,297,379,777,
714,474,545,618,547,848,322,567,740,891,219,160,306,088,591,359,473,847,834,
046,633,968,485,560,397,245,626,143,270,719,308,350,533,361,364,473,378,582,
615,516,543,275,405,964,286,412,589,010,367,174,898,474,248,988,777,300,923,
624,566,066,065,334,320,247,896,071,459,653,965,664,657,486,830,254,678,431,
455,611,844,622,214,631,969,234,503,170,869,121,537,274,070,164,703,833,257,
724,769,226,747,919,389,792,345,342,241,685,507,818,216,459,522,527,221,847,
656,912,806,342,282,059,445,715,077,311,738,431,902,711,165,718,428,226,040,
601,493,628,146,312,694,455,341,984,229,399,013,776,235,759,868,021,050,586,
789,866,355,439,074,568,389,013,377,899,854,084,265,441,284,558,321,684,452,
778,282,540,238,703,509,919,663,848,891,832,411,523,019,242,890,919,186,972,
423,310,879,282,142,286,732,559,394,789,112,219,902,396,892,374,869,509,412,
304,110,586,198,548,497,220,346,823,845,503,882,966,735,588,704,656,787,064,
480,336,739,039,473,518,102,767,958,897,034,507,985,842,489,565,763,810,866,
055,407,782,421,742,066,583,203,884,140,073,762,421,062,899,808,818,737,591,
381,314,807,374,158,004,306,409,506,842,203,305,434,057,577,721,886,424,851,
067,352,979,974,996,568,163,791,637,426,631,988,644,331,575,702,174,615,409,
547,084,267,635,365,744,532,814,722,413,028,511,036,614,141,985,659,612,742,
125,570,389,975,906,923,982,153,478,068,638,229,773,916,971,855,030,544,842,
757,591,247,167,502,513,695,115,033,056,999,590,550,767,057,160,882,281,919,
188,834,974,969,631,152,414,086,173,060,388,309,588,126,641,761,646,517,125,
306,132,567,359,800,082,303,037,503,930,250,637,776,494,055,699,075,993,833,
959,516,995,752,316,190,726,782,410,271,009,745,538,343,410,607,010,666,925,
755,114,000,402,959,653,284,468,997,176,915,203,074,767,278,621,467,590,338,
694,321,495,167,332,364,851,744,071,324,590,712,178,484,106,040,237,118,819,
986,335,414,875,458,949,252,624,383,390,481,332,272,108,539,707,644,754,612,
680,441,420,720,606,999,384,168,395,996,485,804,426,823,175,593,215,601,914,
291,310,135,196,289,622,685,094,024,657,427,780,576,858,164,146,586,710,964,
079,523,389,130,901,209,546,759,155,442,126,387,346,927,101,417,484,364,271,
357,340,745,702,583,859,502,639,037,286,755,040,449,016,289,638,651,406,873,
962,520,746,333,953,604,423,297,126,348,446,511,634,160,518,388,202,204,459,
778,291,578,343,789,464,664,432,184,608,822,880,511,156,576,935,693,208,688,
925,445,623,342,262,132,210,585,712,240,192,881,767,027,760,211,389,681,998,
112,979,415,521,577,859,428,945,538,308,268,425,268,409,141,023,620,836,870,
260,754,565,839,616,993,772,144,978,450,824,626,432,530,396,032,054,657,551,
354,547,771,090,260,994,986,836,819,757,539,017,589,370,048,892,788,947,468,
801,772,095,136,672,879,177,407,329,499,121,915,645,160,645,196,565,803,312,
441,909,369,450,582,973,762,081,246,421,327,608,911,484,308,495,126,196,261,
044,949,698,513,483,040,324,726,325,793,310,582,366,985,040,204,510,756,658,
283,184,017,551,883,340,964,641,897,180,018,813,870,245,420,455,247,381,524,
137,646,747,144,846,721,477,131,354,960,182,126,746,408,398,621,430,712,123,
638,603,604,090,485,507,922,509,349,708,233,334,871,730,095,262,658,133,616,
858,225,123,790,319,198,272,872,956,258,713,733,551,880,694,681,769,188,630,
845,558,778,065,630,671,318,758,672,063,670,076,346,843,374,416,445,107,950,
898,028,182,672,789,124,358,448,343,814,788,421,116,170,426,561,935,390,437,
167,949,471,519,260,037,728,647,194,539,222,454,401,072,818,890,356,708,047,
023,638,418,733,684,311,049,311,062,815,051,847,975,785,551,467,675,403,240,
525,418,369,254,368,617,524,105,582,516,926,240,596,102,391,495,309,987,881,
319,178,500,934,372,791,757,171,976,293,043,935,563,218,060,552,493,196,830,
780,633,046,177,425,208,149,715,785,148,882,822,463,208,827,570,243,977,404,
253,014,588,086,715,380,631,591,826,448,823,828,351,714,315,110,643,410,928,
089,491,883,349,214,358,835,373,270,641,475,965,157,600,047,665,302,508,825,
743,392,267,511,968,195,840,367,548,113,290,571,411,970,613,188,641,299,435,
352,907,361,273,078,595,273,202,586,533,027,463,128,612,320,548,464,360,601,
839,156,388,270,114,364,560,002,647,359,333,179,724,479,912,756,519,517,847,
340,868,056,323,137,550,425,915,740,612,444,441,120,926,613,576,631,960,044,
312,389,603,920,933,856,922,467,124,691,480,640,747,452,298,101,685,016,601,
128,320,603,886,534,888,228,179,335,762,785,085,094,093,772,841,596,594,953,
423,779,307,560,179,405,749,594,071,895,072,959,775,800,412,726,546,702,545,
663,211,577,030,613,872,392,626,358,408,363,669,321,193,418,820,913,131,803,
792,692,961,322,146,615,477,652,879,961,387,742,058,605,635,352,169,643,031,
735,599,522,341,046,376,995,247,984,302,415,720,104,197,260,878,255,465,009,
092,382,425,638,499,473,240,757,255,127,447,443,699,177,201,728,105,520,231,
770,062,276,466,487,146,582,844,968,232,399,035,255,117,311,519,286,109,837,
670,280,306,089,997,014,352,958,767,068,663,566,606,196,233,550,030,278,040,
756,767,845,630,722,405,446,598,368,343,176,701,324,153,620,096,198,392,046,
361,761,621,383,229,966,579,568,307,570,365,654,130,219,763,997,216,611,764,
648,159,371,707,516,015,618,631,481,484,055,031,400,549,620,078,851,663,621,
037,275,194,437,179,719,436,564,813,105,660,048,693,767,382,505,913,488,467,
995,426,204,469,577,630,110,169,508,857,288,594,375,708,069,261,893,858,523,
616,561,371,355,168,430,390,890,126,867,550,109,904,012,386,620,827,509,915,
619,323,324,700,682,220,846,831,680,423,156,403,418,450,546,820,730,754,740,
370,581,916,310,110,415,786,549,642,876,377,198,346,604,158,669,992,073,836,
212,354,838,059,659,071,962,202,374,389,018,446,697,684,843,245,398,866,223,
581,634,929,898,190,430,699,958,577,086,291,659,240,429,319,979,561,057,395,
429,248,989,889,859,194,276,215,337,212,837,530,953,339,367,992,937,587,923,
305,232,875,703,043,120,418,656,067,827,210,811,760,741,455,567,888,163,278,
199,740,117,321,942,188,004,576,413,354,895,945,845,920,664,756,447,766,607,
618,549,891,892,330,991,944,960,103,750,277,845,822,618,180,549,156,953,813,
172,936,272,518,804,402,492,674,051,396,337,618,299,795,640,908,876,225,295,
676,113,748,739,421,159,783,471,748,533,061,786,341,221,339,150,350,220,332,
991,879,096,780,095,820,394,986,428,754,554,444,513,384,512,006,248,114,260,
722,715,368,859,343,179,202,028,763,948,858,141,453,122,313,861,231,541,103,
202,789,422,908,939,277,473,878,113,726,636,653,231,724,662,120,927,926,382,
389,771,602,817,521,890,028,384,388,581,867,146,390,278,344,466,557,984,809,
761,673,900,448,320,423,314,347,115,977,262,115,721,975,404,238,823,943,666,
377,061,789,194,645,169,538,318,134,694,859,599,285,979,695,881,982,197,531,
889,744,065,333,332,619,947,101,057,307,633,963,109,645,845,168,546,022,482,
465,954,701,076,734,036,979,060,328,811,463,775,217,393,295,016,289,489,636,
072,127,017,757,074,541,131,959,373,621,158,109,614,000,584,765,110,765,263,
983,226,495,603,632,197,637,849,660,675,189,450,176,374,724,568,138,959,290,
263,068,099,917,440,755,601,492,339,908,829,372,760,292,446,369,789,232,303,
933,687,673,584,160,637,869,036,082,696,603,290,305,841,315,075,539,921,157,
948,971,409,178,482,710,691,493,580,994,611,054,414,217,843,328,213,467,659,
638,501,343,034,314,340,724,207,752,835,131,620,248,030,468,276,048,079,056,
867,979,338,304,472,709,697,230,418,550,440,148,325,762,347,216,804,366,272,
175,046,395,073,043,058,135,252,899,908,209,994,988,794,921,592,683,457,129,
147,219,830,064,244,698,929,083,892,581,781,122,766,021,606,442,720,851,690,
196,437,002,015,104,498,110,677,830,224,421,670,983,085,217,816,407,929,516,
860,974,557,392,064,511,569,443,954,398,696,244,233,418,603,128,109,400,465,
197,290,245,708,997,316,518,403,607,623,127,851,392,209,676,883,240,998,248,
155,390,559,995,764,435,556,738,236,804,159,780,300,131,028,750,482,470,983,
827,829,472,142,501,362,359,401,645,240,732,607,698,768,407,140,126,607,241,
274,285,366,093,832,563,514,259,416,858,241,154,363,431,319,227,838,931,886,
880,169,733,717,662,326,685,638,045,563,384,937,563,647,729,452,481,601,656,
959,403,746,102,681,435,292,059,409,223,821,415,420,642,209,318,561,149,759,
329,760,262,206,295,918,233,196,658,640,107,391,306,971,371,727,294,696,258,
654,504,235,427,513,230,030,730,166,150,690,495,432,733,796,092,310,827,875,
878,698,627,276,505,054,860,881,454,476,779,826,473,906,704,823,802,779,004,
034,251,468,870,862,577,938,437,377,422,836,161,881,667,872,477,204,253,287,
806,458,200,329,956,129,250,807,701,521,367,769,713,386,943,696,455,278,760,
673,345,796,628,335,323,102,339,358,354,344,804,383,285,410,074,802,604,774,
819,091,690,915,797,606,277,592,387,903,740,229,011,306,511,283,427,859,620,
136,483,335,565,485,623,988,504,398,511,602,708,367,961,356,411,358,810,586,
272,037,287,739,265,232,237,888,599,796,081,245,191,402,557,056,207,919,422,
686,128,737,334,577,078,088,171,879,055,513,609,067,168,005,132,842,473,173,
501,091,538,261,341,468,665,227,907,293,794,707,899,214,112,630,275,374,849,
398,157,281,400,834,054,247,372,993,892,036,958,763,959,772,385,618,258,852,
697,321,392,233,725,937,872,752,872,883,634,305,590,939,573,524,480,396,106,
373,630,077,378,671,421,670,902,892,124,441,672,109,263,612,521,128,606,686,
832,879,093,862,821,609,103,619,680,187,029,833,000,941,110,291,827,350,307,
881,145,249,269,898,271,537,106,416,241,265,268,576,748,764,530,851,505,736,
514,816,412,148,251,254,531,953,269,256,298,375,184,210,858,249,013,214,466,
685,344,171,886,531,862,898,816,777,908,787,329,679,015,531,147,453,640,013,
761,514,718,731,010,892,672,587,346,549,585,842,135,886,763,563,461,970,306,
002,985,250,219,380,180,671,986,696,583,922,400,008,660,714,405,184,938,258,
823,055,406,863,266,568,874,513,522,991,786,520,640,411,486,851,763,642,187,
920,295,670,305,480,313,561,859,297,891,227,638,427,614,270,120,394,144,859,
959,847,018,513,520,477,195,713,430,365,752,852,153,281,077,959,943,525,111,
078,788,300,911,438,181,058,396,496,597,762,206,986,100,936,951,384,747,302,
852,549,769,182,472,294,378,808,357,794,272,292,901,055,700,285,463,453,794,
842,382,576,551,006,233,893,839,939,045,594,811,095,280,097,500,163,713,632,
652,272,103,592,354,674,154,009,564,362,771,204,671,321,561,549,931,646,957,
978,614,349,640,699,376,473,110,950,778,518,014,157,784,692,481,405,859,045,
313,138,992,283,553,722,124,021,137,425,375,682,420,374,652,064,090,377,631,
682,529,904,201,708,656,452,589,206,745,460,072,854,878,291,006,142,801,336,
546,746,332,512,487,154,917,045,522,570,323,362,464,857,108,249,557,202,618,
450,869,891,996,431,926,622,589,441,415,772,577,190,834,747,278,176,136,452,
955,048,159,254,395,218,240,357,471,855,990,375,957,429,917,984,888,424,949,
523,876,163,988,164,539,809,479,465,578,570,739,347,925,741,192,679,346,098,
795,916,565,770,503,105,705,254,467,195,896,811,497,495,803,303,252,268,172,
573,597,700,375,428,620,447,373,690,914,167,840,132,176,444,391,274,413,707,
660,448,079,496,582,832,458,302,761,720,790,400,512,837,870,658,778,491,575,
248,373,878,277,115,995,598,617,322,271,951,218,542,269,975,519,846,461,724,
254,556,117,904,334,605,563,334,806,447,799,633,800,136,728,283,081,198,376,
796,357,016,272,346,454,539,470,953,943,757,323,278,821,305,644,555,522,483,
363,228,445,698,188,341,960,406,860,082,213,715,773,529,881,810,276,103,585,
336,174,344,279,298,410,849,682,456,276,787,356,402,935,073,980,568,032,593,
734,187,499,468,384,991,050,775,772,068,759,672,584,631,768,721,078,973,442,
256,050,065,646,725,570,891,716,022,845,386,302,024,046,215,013,439,040,298,
474,165,044,735,390,185,415,543,030,645,048,880,815,030,613,159,337,765,636,
167,896,677,100,576,348,820,335,402,948,403,111,586,339,690,242,036,949,315,
601,062,123,949,442,218,195,440,123,757,549,898,228,562,137,464,928,385,962,
579,981,682,745,148,841,896,544,495,366,304,058,589,819,131,831,921,921,987,
862,633,254,195,835,864,751,120,559,082,255,999,981,375,296,907,715,749,049,
821,075,890,556,440,457,078,602,485,206,073,637,004,941,166,773,591,492,928,
297,725,272,397,139,640,961,790,201,292,904,329,653,417,599,824,456,022,013,
078,984,612,022,018,310,878,779,871,225,481,822,558,975,224,971,492,693,730,
839,165,541,101,861,894,271,013,459,015,229,743,896,503,423,231,895,638,443,
133,847,276,691,792,815,106,312,458,804,533,723,001,262,247,232,812,895,664,
298,020,362,653,497,052,558,156,626,453,349,862,150,533,811,035,902,661,141,
421,015,929,039,507,976,629,493,856,867,676,580,919,494,614,443,174,297,711,
302,127,645,375,832,054,462,530,314,324,206,676,843,899,455,347,859,927,142,
088,734,844,187,811,482,993,327,200,738,100,492,425,639,955,428,562,870,511,
433,959,900,409,078,832,832,335,858,773,088,182,303,273,851,365,951,798,077,
391,745,294,227,252,453,886,587,901,464,387,555,302,649,033,298,955,610,713,
277,473,841,565,421,687,082,102,347,547,693,167,756,648,045,919,888,900,107,
489,693,533,357,009,460,486,699,513,886,857,526,478,213,010,323,888,920,646,
994,558,383,641,939,625,077,290,900,603,071,340,492,640,111,507,487,808,191,
982,163,997,062,388,019,561,671,282,124,333,559,453,750,635,600,573,976,531,
548,156,355,959,758,724,382,776,532,988,251,408,871,536,186,466,806,703,785,
928,174,144,951,613,098,164,206,274,011,697,222,666,372,026,423,847,508,599,
830,878,661,548,697,886,575,965,101,451,676,080,896,950,794,628,170,101,498,
628,327,494,407,313,888,496,223,608,269,119,007,774,867,441,894,781,630,449,
446,828,732,154,191,409,700,543,412,462,521,896,304,025,021,140,076,516,516,
996,343,545,297,715,128,757,281,168,429,298,096,606,679,141,282,281,145,975,
410,078,249,894,567,301,246,756,769,720,468,696,374,287,975,252,307,861,550,
363,361,520,630,896,162,005,682,139,832,859,108,478,882,240,889,675,736,468,
226,555,570,453,369,881,916,240,309,596,861,874,518,071,103,127,363,669,250,
963,300,728,877,900,671,257,965,316,174,326,887,946,052,175,488,599,458,068,
331,323,755,516,021,151,753,534,463,205,000,588,851,715,333,844,856,001,966,
470,170,553,971,389,931,624,855,993,279,290,543,359,396,179,075,168,954,514,
242,161,219,550,082,327,252,996,146,867,565,086,354,321,032,724,634,455,103,
350,006,852,680,813,286,453,392,380,303,182,539,833,962,188,606,895,758,737,
169,269,110,648,810,312,864,967,993,660,467,151,547,394,858,283,758,270,649,
781,465,824,626,192,184,206,865,198,036,002,030,361,474,940,157,397,019,669,
778,030,829,162,011,870,728,699,104,622,027,301,411,092,099,163,811,481,427,
305,326,906,058,133,929,612,723,331,976,288,213,260,248,478,260,113,094,266,
377,786,988,461,165,540,467,087,819,157,710,461,519,135,751,581,446,027,130,
118,913,731,608,480,258,598,953,744,671,655,932,859,749,196,036,670,706,249,
113,658,669,240,560,435,088,874,511,404,515,012,266,002,875,463,632,500,909,
614,555,928,103,386,451,328,072,194,922,843,323,530,422,010,042,168,169,386,
265,998,760,915,884,844,268,585,217,538,080,165,161,075,039,824,391,610,302,
844,151,195,989,640,735,045,637,731,990,786,005,088,578,210,679,397,703,227,
394,879,599,099,735,850,923,437,623,848,110,543,424,883,576,328,972,157,239,
015,294,935,961,030,097,450,648,280,694,046,006,696,845,140,535,003,815,837,
017,908,535,763,097,420,829,283,740,049,758,628,938,409,715,686,135,423,476,
089,273,081,952,745,085,317,783,751,274,374,822,886,895,586,495,863,526,479,
990,600,806,096,071,003,295,363,902,095,957,018,598,410,756,315,057,911,049,
221,850,970,017,376,105,178,563,540,401,988,720,243,619,249,407,758,406,337,
153,031,641,538,086,285,521,188,596,991,681,317,426,316,325,129,279,931,165,
570,950,780,533,644,705,323,287,789,307,361,077,882,257,648,668,344,559,756,
208,205,519,990,689,982,103,559,971,171,482,646,234,663,993,536,288,313,265,
160,924,019,751,160,361,888,402,846,105,583,999,817,042,607,060,565,621,585,
914,639,134,167,722,578,100,306,670,439,969,447,564,028,235,996,353,707,723,
581,684,469,552,477,900,158,884,674,931,455,575,988,005,158,022,328,994,783,
309,159,887,307,858,498,417,021,273,079,734,975,046,572,857,035,595,945,297,
467,734,823,570,479,890,265,470,832,605,673,508,005,056,383,048,070,438,133,
088,089,720,650,068,686,325,789,202,985,229,721,288,794,309,184,866,936,892,
026,352,708,365,165,741,204,913,723,366,675,720,768,718,370,134,381,611,952,
669,139,595,678,798,055,838,270,562,942,972,841,936,603,900,794,996,757,930,
357,171,946,265,903,407,512,904,125,032,221,968,515,102,803,774,819,927,665,
262,497,139,828,495,135,262,093,302,244,489,584,025,554,245,331,416,136,558,
337,115,573,924,565,182,659,475,754,037,236,094,811,517,759,403,682,115,524,
650,202,508,173,343,716,747,841,392,824,482,382,179,260,367,484,729,119,868,
249,390,143,560,874,275,396,620,316,178,596,736,457,582,399,832,033,541,254,
202,994,642,551,593,929,270,047,603,458,413,259,592,166,832,009,736,773,508,
945,642,127,399,289,117,142,405,351,310,373,734,315,257,219,865,233,377,731,
696,674,383,283,601,634,135,608,845,633,363,949,287,256,814,349,332,865,292,
113,199,360,831,671,799,400,117,849,895,421,877,002,852,014,154,646,177,874,
290,201,598,289,242,835,913,955,732,160,819,434,591,698,048,269,407,545,059,
597,850,491,685,814,354,246,001,749,862,812,109,334,099,757,308,800,133,252,
417,242,607,458,123,874,331,388,535,349,781,982,215,417,241,480,743,121,656,
319,364,688,560,109,693,845,914,815,352,207,106,290,346,919,359,173,479,774,
047,631,370,945,538,308,548,257,476,614,637,249,625,886,092,905,223,604,004,
303,802,868,912,955,063,424,700,940,640,438,672,143,885,898,075,104,930,375,
914,023,463,386,100,521,386,703,294,551,975,982,585,172,083,716,526,689,237,
131,791,770,113,119,345,454,967,588,014,160,601,505,780,690,506,162,618,008,
296,420,583,265,588,744,868,565,899,555,704,838,452,516,131,998,769,001,623,
959,949,071,007,070,025,110,584,846,083,615,835,686,008,705,735,634,751,625,
106,197,143,131,585,013,246,931,631,444,435,928,018,343,432,829,286,190,502,
241,158,840,871,179,094,421,013,131,519,563,193,411,592,638,883,925,990,835,
011,328,571,409,590,925,547,253,852,954,681,158,124,597,723,646,248,682,600,
856,212,688,790,274,279,918,260,892,590,374,515,176,288,481,248,818,639,323,
600,796,018,454,553,794,173,702,103,164,507,397,584,410,789,018,085,315,437,
610,073,275,944,636,660,466,228,319,027,611,994,037,673,463,673,657,155,029,
515,912,384,790,891,444,558,911,896,700,046,522,893,953,911,813,628,392,764,
275,189,701,465,743,283,392,441,040,429,491,381,890,014,115,382,320,483,025,
065,764,616,964,719,395,900,433,140,039,583,574,414,867,645,646,035,151,929,
143,315,354,758,303,283,900,161,558,756,871,958,913,766,974,792,481,091,625,
141,100,231,268,010,209,638,749,526,766,569,704,350,258,678,285,280,226,079,
928,107,032,990,827,635,825,291,164,791,796,689,971,404,459,495,217,569,414,
009,514,816,363,348,120,087,320,585,313,170,173,627,331,376,638,448,296,514,
140,681,386,986,529,112,507,936,076,069,627,356,194,647,341,760,518,807,409,
004,081,423,507,508,127,419,897,183,789,789,217,099,970,851,247,739,931,809,
441,345,939,203,172,309,923,058,172,251,344,849,855,171,249,470,361,418,198,
086,840,752,152,650,267,801,202,569,968,394,720,203,817,516,120,654,680,694,
924,523,174,591,407,553,982,738,790,917,191,864,577,210,899,443,675,712,786,
422,039,396,256,396,242,095,200,792,073,327,981,261,591,759,844,184,284,985,
840,873,344,391,005,507,909,797,891,097,233,012,545,566,560,411,995,711,505,
919,297,331,974,426,519,513,960,858,070,688,354,820,866,246,270,058,336,014,
396,975,789,420,857,558,883,855,756,720,941,710,177,105,502,006,659,438,073,
292,461,476,147,993,390,189,405,365,779,438,466,483,592,568,390,310,533,282,
198,818,215,766,459,399,390,568,007,710,232,451,397,105,849,110,000,396,769,
912,850,711,323,622,943,084,335,437,566,641,303,131,393,972,881,321,193,318,
390,476,067,943,184,405,751,561,722,983,166,063,385,451,865,623,602,540,113,
466,199,784,207,704,764,022,991,212,595,509,831,420,754,776,829,090,709,377,
847,092,947,940,014,674,427,888,674,027,462,035,119,974,581,765,856,856,697,
184,956,949,274,060,144,650,991,405,057,010,919,678,975,242,526,343,323,535,
393,930,419,444,619,860,846,675,040,988,842,305,635,863,002,022,052,254,385,
304,017,952,029,032,096,241,102,036,663,026,420,339,278,878,880,915,956,673,
213,981,260,023,741,816,328,313,495,167,129,826,808,646,386,629,032,737,133,
701,989,713,109,716,789,048,544,465,783,152,630,800,919,998,723,155,246,534,
750,467,162,683,793,099,469,425,890,681,104,635,732,237,142,486,002,986,171,
093,895,245,791,016,174,284,628,749,112,722,914,711,196,042,505,918,987,042,
425,119,226,893,179,615,348,108,195,983,755,747,069,862,155,550,524,161,915,
075,356,323,737,791,645,228,541,342,003,524,791,874,268,176,078,094,135,696,
761,885,087,805,693,731,313,185,368,540,432,446,004,464,524,794,785,978,007,
070,287,549,004,622,814,598,793,361,766,603,067,862,591,754,630,225,602,697,
920,376,065,439,720,795,418,220,432,376,578,374,176,520,208,296,791,620,670,
741,234,417,203,096,901,306,994,572,300,284,809,240,814,542,861,855,357,768,
788,742,811,354,215,743,930,478,685,070,888,662,134,489,521,966,072,335,521,
836,335,776,537,752,684,460,946,405,247,081,342,126,038,198,908,556,620,237,
385,502,723,053,255,073,354,837,953,466,286,430,989,814,305,519,069,197,122,
504,411,415,653,553,270,934,588,639,345,550,797,591,108,329,099,339,346,187,
668,446,045,957,994,009,101,644,985,050,209,843,672,411,645,666,270,894,444,
305,887,037,049,330,353,128,609,496,517,468,461,487,059,951,844,451,848,701,
259,061,291,836,495,535,450,856,802,884,751,139,095,424,352,773,434,579,724,
456,627,139,039,173,746,545,271,013,547,496,452,911,554,232,358,476,287,687,
096,888,192,415,893,079,898,267,583,708,700,602,403,071,620,102,308,954,712,
857,639,952,917,492,690,019,610,813,024,786,265,359,972,974,143,801,975,600,
947,975,595,239,916,712,859,772,542,976,542,519,189,128,937,599,590,121,163,
732,855,076,125,381,082,740,389,785,569,376,829,205,079,741,116,092,777,285,
831,008,943,641,560,046,437,808,987,710,480,419,732,955,342,024,707,363,154,
584,631,683,134,400,659,016,891,901,102,106,993,432,761,373,662,844,377,489,
974,788,975,610,937,940,946,039,352,037,561,026,172,269,119,179,266,237,782,
521,125,905,729,338,940,672,911,319,214,814,421,729,089,252,511,113,950,354,
048,376,324,288,495,518,731,702,819,616,619,910,990,369,279,552,530,851,544,
523,553,246,894,277,817,687,813,707,108,891,812,555,690,642,349,036,957,711,
428,342,309,527,177,186,062,106,917,126,231,097,409,409,346,369,757,832,368,
422,213,222,232,550,615,759,176,371,267,645,260,176,723,131,424,548,953,534,
507,644,702,617,526,113,453,276,212,391,614,499,921,493,237,676,034,954,193,
368,740,012,579,444,346,605,083,489,832,018,497,567,911,759,102,539,773,995,
388,053,892,881,172,104,755,793,480,252,703,410,589,905,730,220,555,657,936,
945,886,288,881,910,614,750,655,309,504,826,434,547,944,929,206,419,598,562,
327,434,392,130,305,094,007,336,796,805,783,638,518,213,163,710,980,130,538,
162,903,160,694,733,318,738,377,852,444,918,458,638,778,137,127,326,406,343,
392,267,765,272,897,425,197,557,250,051,409,672,404,618,596,082,910,683,460,
997,195,658,859,705,026,282,349,800,905,713,944,097,909,674,182,945,486,075,
855,280,218,075,574,625,447,567,228,910,150,681,842,507,261,799,300,417,904,
669,898,830,129,591,020,997,601,546,710,629,364,296,200,523,024,795,129,495,
427,958,476,161,143,671,504,201,587,029,574,901,477,680,714,873,740,505,013,
427,429,010,480,578,293,092,743,003,987,978,666,181,018,307,792,614,036,563,
473,634,349,558,195,679,009,666,157,997,715,152,597,681,654,088,946,982,257,
273,736,417,052,467,968,832,936,053,915,876,265,423,637,454,990,546,615,249,
667,386,397,003,087,329,430,933,796,000,489,307,301,422,128,097,112,859,525,
098,564,258,026,186,034,996,132,134,717,014,970,987,899,596,203,948,297,476,
511,438,792,537,544,108,748,981,731,653,976,611,755,812,190,579,938,423,109,
172,808,044,721,813,398,430,583,827,682,244,007,635,951,411,081,535,042,089,
010,856,985,753,327,899,705,195,805,922,753,222,427,031,506,232,461,688,283,
650,709,819,974,094,934,217,906,801,519,497,439,072,677,175,128,391,135,026,
729,956,790,811,706,552,576,936,068,622,820,429,883,624,882,355,642,966,346,
642,310,442,632,205,772,647,617,806,021,252,206,603,272,088,301,866,594,174,
202,589,052,074,871,809,543,052,576,533,951,311,575,571,497,892,719,216,799,
681,745,148,176,042,404,034,875,501,196,649,296,255,415,034,774,549,574,520,
269,111,143,767,667,271,085,846,409,408,782,147,203,280,976,573,045,061,489,
291,271,440,543,810,822,705,896,186,770,311,194,187,928,419,215,213,808,203,
784,974,633,930,273,989,926,928,160,253,235,982,195,135,045,994,469,079,160,
373,769,379,804,411,591,463,623,715,407,084,042,531,681,727,578,473,715,329,
617,271,985,771,522,801,058,344,922,473,217,321,618,285,071,502,074,351,248,
324,337,690,020,445,103,481,750,357,687,659,133,978,168,542,673,207,892,333,
853,173,260,306,130,999,315,786,512,317,935,596,069,361,242,302,300,812,429,
188,837,514,741,524,923,737,819,373,866,456,002,663,112,083,173,984,395,864,
415,163,297,489,471,273,702,703,621,844,980,506,015,253,770,780,841,951,981,
208,782,156,818,257,331,320,414,715,686,925,744,837,002,973,960,370,457,373,
266,230,927,007,859,972,531,127,986,817,849,657,860,217,575,148,459,312,081,
919,567,867,948,690,457,967,177,192,509,749,938,052,141,825,818,195,623,919,
660,934,959,553,437,557,317,628,762,448,658,248,973,942,863,729,945,496,124,
924,398,975,543,770,066,479,851,743,148,765,483,951,367,378,050,137,798,911,
767,967,902,185,043,676,195,209,041,912,378,400,837,066,381,131,313,034,085,
022,253,588,096,159,879,094,350,210,447,248,567,687,057,531,963,664,688,350,
281,422,941,563,972,332,333,136,572,084,143,731,773,726,585,124,075,731,056,
013,789,111,439,052,805,654,324,731,142,302,282,808,702,351,792,580,054,572,
692,544,607,406,172,277,114,418,266,569,291,632,638,029,816,708,154,799,878,
417,651,962,583,162,217,321,023,995,937,037,378,052,205,170,009,338,926,034,
126,150,258,232,077,992,372,993,902,185,761,808,723,062,695,451,501,954,224,
145,990,404,501,461,336,750,637,329,840,303,643,177,412,466,110,623,760,736,
450,099,979,777,611,800,876,080,439,069,380,344,638,133,474,125,004,072,346,
886,555,160,300,852,202,683,029,363,366,529,364,619,147,055,623,261,437,741,
545,279,673,109,006,479,843,369,325,447,828,873,284,001,509,448,810,148,267,
623,884,602,329,717,937,225,063,500,829,183,458,847,022,666,977,513,030,538,
063,053,348,489,851,048,506,226,308,652,820,008,240,991,202,900,665,633,719,
524,534,527,037,447,531,853,149,269,084,432,362,849,881,491,189,089,558,857,
437,064,744,964,560,690,991,840,660,548,684,835,144,035,916,801,557,911,906,
509,954,223,127,731,463,445,323,136,028,888,536,120,529,152,547,770,762,381,
848,595,097,883,911,860,409,858,436,610,828,490,096,074,193,269,487,833,737,
527,205,552,569,854,255,878,349,981,592,075,880,852,942,760,943,432,395,608,
841,347,799,921,436,548,621,040,457,291,058,789,881,036,443,887,977,907,251,
323,517,340,229,742,453,355,509,003,020,712,489,239,789,301,225,897,784,811,
386,466,301,211,622,707,678,955,948,108,179,577,425,791,400,737,996,465,220,
542,487,595,928,596,308,807,766,705,120,672,681,349,583,488,190,847,381,768,
742,257,387,031,471,525,191,235,255,777,255,950,358,456,156,438,778,514,936,
384,367,694,102,500,169,335,724,481,326,581,757,141,715,354,318,629,525,073,
273,417,579,922,359,955,402,034,780,978,531,749,618,089,333,760,302,835,619,
536,013,019,676,737,190,739,004,226,738,670,197,576,248,385,125,396,209,803,
733,580,944,722,259,018,662,794,643,130,014,538,335,145,464,054,201,696,252,
796,088,869,156,383,275,105,258,571,970,722,182,405,692,814,766,402,952,844,
772,614,622,323,722,827,891,820,854,196,569,682,720,845,703,687,929,172,019,
924,066,496,970,955,561,685,528,435,964,908,549,109,910,838,591,010,111,625,
182,182,884,544,928,016,686,514,721,711,829,902,062,206,673,214,754,627,714,
060,441,182,924,392,564,277,655,391,841,849,630,837,770,486,816,376,174,173,
175,894,999,286,362,480,206,199,691,096,084,761,208,408,397,444,774,162,035,
506,747,975,015,822,066,011,340,580,356,323,598,729,547,059,276,383,156,559,
182,261,871,336,524,462,196,904,921,342,152,795,149,323,783,709,496,646,613,
561,645,826,932,875,234,533,942,650,866,522,312,973,983,753,366,365,084,522,
920,264,495,214,241,849,107,037,984,390,436,338,302,216,814,730,283,421,383,
576,079,663,375,166,749,622,217,011,631,295,474,803,378,300,503,362,264,110,
997,212,065,657,328,485,050,811,078,303,467,290,507,038,428,312,070,839,974,
897,395,589,767,814,901,121,100,887,106,844,169,792,074,018,034,188,365,835,
168,112,181,820,355,497,928,771,710,512,985,358,268,672,642,617,654,273,997,
505,555,671,370,801,686,548,102,824,420,195,666,586,689,984,375,292,001,295,
849,462,233,321,329,135,220,250,566,776,413,668,466,011,558,212,632,607,643,
435,004,242,793,351,353,322,139,947,062,424,703,458,421,395,281,325,464,689,
550,608,534,716,371,347,128,723,271,068,236,976,702,279,803,946,138,341,804,
434,903,549,313,544,073,403,502,621,679,247,691,514,020,072,870,491,765,714,
124,694,410,240,199,498,824,520,454,284,399,007,010,383,252,864,132,457,840,
369,413,506,324,062,925,006,447,772,583,792,238,311,147,472,264,653,836,578,
485,246,728,185,048,994,372,755,535,084,931,569,658,492,830,553,950,524,810,
171,309,734,975,574,819,581,366,000,648,551,095,394,421,980,236,788,902,647,
067,971,529,875,578,591,013,383,280,890,713,974,823,793,077,002,804,111,027,
032,904,460,011,489,562,905,931,066,659,115,095,783,000,182,599,504,468,937,
998,851,516,426,688,576,080,673,583,636,181,350,626,836,163,071,337,356,037,
144,473,467,336,551,219,890,925,831,603,964,665,609,506,203,555,081,564,987,
675,269,028,301,296,914,588,370,777,541,344,841,524,952,101,035,665,631,280,
341,353,871,519,934,787,318,135,441,085,941,716,010,751,082,325,244,246,082,
643,312,913,797,230,683,717,981,780,227,538,453,573,836,497,208,311,156,582,
788,711,510,945,319,854,791,512,495,662,017,995,263,703,874,762,135,484,385,
113,864,806,623,091,768,032,905,135,530,776,904,974,658,187,779,727,199,339,
871,171,862,624,369,856,028,134,096,619,821,968,926,506,890,976,907,915,285,
635,850,807,989,616,458,281,788,854,836,929,524,002,413,558,813,120,090,717,
298,659,263,469,381,958,741,824,547,909,189,358,883,758,399,953,262,619,477,
342,749,921,445,627,540,878,259,200,806,830,384,857,391,162,472,315,521,827,
260,936,234,594,913,954,465,225,047,089,514,952,591,207,254,261,549,444,604,
746,465,326,501,860,051,203,214,887,081,458,847,193,729,268,094,657,340,889,
238,363,063,020,257,588,867,819,006,784,147,994,138,826,348,947,388,787,436,
391,706,543,839,758,430,084,496,333,546,601,962,982,625,196,636,012,362,536,
143,237,404,718,642,355,739,823,373,720,361,203,087,852,000,501,587,498,970,
589,517,655,316,777,103,658,764,172,605,746,731,223,801,872,965,085,501,692,
753,373,023,716,149,945,469,066,794,871,657,167,407,528,839,133,897,625,205,
250,414,422,504,563,743,047,656,155,880,144,139,840,073,158,280,715,559,031,
626,663,883,860,485,963,863,507,801,784,533,576,090,741,880,920,666,449,873,
462,417,606,196,979,071,074,168,950,495,966,158,799,839,461,680,775,592,198,
029,183,071,443,243,690,959,330,943,026,185,114,861,643,461,064,792,103,213,
960,249,373,187,695,845,172,378,055,264,154,118,193,096,273,346,785,666,145,
988,674,516,852,373,825,828,986,353,999,474,442,600,203,116,410,204,576,220,
427,964,299,138,701,752,048,711,073,847,836,485,889,816,974,858,006,864,157,
714,907,542,836,446,818,021,286,698,389,808,651,161,693,710,684,001,254,101,
993,317,559,353,531,992,602,141,883,819,418,589,700,268,453,131,192,205,212,
991,997,303,571,772,479,693,399,176,366,204,887,495,155,483,509,241,635,534,
419,428,764,754,326,008,223,161,832,524,590,274,790,674,072,569,353,204,524,
801,011,570,088,866,883,428,785,117,611,642,830,223,887,860,218,991,067,109,
176,926,091,212,502,772,566,735,016,433,753,655,181,466,410,226,392,046,434,
963,498,799,801,260,249,864,113,076,750,248,903,960,207,708,770,024,290,082,
036,847,481,995,145,456,282,893,144,056,614,728,565,169,849,964,170,902,155,
553,664,005,042,631,457,958,587,856,862,764,394,088,832,741,839,589,100,094,
987,243,930,792,395,982,830,082,079,000,331,384,163,026,353,344,252,274,280,
393,931,442,470,254,058,213,571,070,680,156,902,829,899,020,944,338,618,337,
673,631,154,311,633,728,766,282,745,667,331,924,393,058,600,751,414,366,094,
101,355,247,298,480,245,088,224,151,414,248,127,256,538,271,764,208,190,708,
074,262,074,445,987,357,123,166,089,298,886,538,115,502,029,437,686,646,450,
912,496,415,940,119,957,443,090,938,870,123,118,227,646,869,245,324,674,737,
152,247,407,010,522,361,957,793,196,994,054,103,837,263,979,500,669,994,124,
955,886,494,310,346,743,607,919,876,285,014,303,200,256,186,972,013,738,839,
433,745,803,609,430,821,429,964,321,425,729,756,682,601,677,588,322,195,144,
887,563,578,532,193,615,519,149,682,584,341,518,815,051,136,495,316,746,731,
190,031,409,092,440,328,313,432,076,497,182,831,807,753,065,073,798,914,763,
365,195,974,158,443,862,998,737,393,116,678,042,704,333,962,312,448,528,376,
361,136,572,594,865,386,264,190,943,275,228,437,111,999,686,897,659,767,428,
570,130,837,732,093,442,490,157,079,224,011,195,000,334,618,812,238,469,750,
735,373,349,392,980,597,144,780,662,023,041,793,056,854,432,458,821,501,489,
694,434,052,041,514,613,647,701,116,784,428,468,403,539,938,168,583,080,510,
547,770,084,928,254,537,963,595,992,424,246,336,547,796,444,186,540,135,963,
229,246,262,651,805,529,815,335,575,215,269,874,514,868,509,137,297,200,737,
964,383,711,233,160,385,630,890,378,342,133,702,967,235,365,540,108,977,886,
855,207,894,207,234,002,501,564,161,182,030,498,969,436,778,168,082,887,226,
120,017,244,619,220,199,610,711,601,627,729,754,157,066,641,426,435,456,259,
448,351,378,256,790,499,359,669,688,215,269,019,499,884,027,049,471,264,139,
666,400,636,982,669,550,933,624,215,424,719,564,098,518,796,755,287,912,442,
046,805,287,087,023,457,959,241,868,726,566,942,864,453,473,005,636,571,023,
589,524,866,031,607,611,633,247,639,904,840,599,992,440,248,100,782,308,721,
366,861,692,554,354,131,091,428,365,119,981,265,356,850,196,746,578,501,632,
697,578,873,012,355,338,723,130,064,393,388,166,185,556,324,804,221,629,849,
707,374,430,924,150,774,748,748,080,611,142,628,162,942,060,012,270,849,021,
649,699,526,965,643,069,508,861,267,461,061,476,816,933,720,344,576,006,273,
788,750,522,067,013,780,426,485,963,057,997,765,909,744,058,193,957,979,714,
800,649,801,373,565,337,531,150,849,023,881,845,406,179,481,210,699,923,772,
509,263,543,402,565,890,943,958,304,789,574,493,179,804,330,453,010,473,213,
087,803,594,858,946,378,199,452,279,135,561,651,464,726,780,687,961,677,334,
412,167,905,151,897,614,674,257,334,515,910,353,663,971,420,526,432,048,309,
454,732,585,533,884,542,962,946,190,048,974,246,415,145,834,837,867,174,802,
607,798,757,214,385,969,482,241,973,524,750,048,492,540,229,600,219,935,350,
878,266,343,813,641,860,865,606,304,854,400,261,546,748,898,264,941,832,021,
729,366,544,605,828,039,665,124,541,350,765,963,334,011,582,411,612,392,825,
959,808,831,459,520,867,924,800,124,518,250,160,909,507,617,373,648,851,551,
930,793,683,042,458,420,162,333,220,485,018,835,558,273,987,511,442,285,801,
459,182,181,451,275,331,842,224,039,422,310,021,087,006,195,723,932,749,881,
470,255,287,607,200,617,995,042,183,190,234,763,498,689,714,894,550,529,787,
550,464,370,649,902,606,998,837,208,362,223,454,260,884,293,959,485,249,763,
639,010,932,593,927,360,601,110,890,748,180,476,495,322,737,399,297,025,710,
981,563,673,366,496,548,427,562,435,862,822,316,479,208,836,334,794,978,651,
335,182,341,714,965,057,593,065,407,247,572,211,388,073,548,015,107,363,646,
580,693,962,646,473,808,476,389,489,630,175,004,645,710,370,650,342,938,991,
991,394,541,082,359,043,164,965,667,583,020,713,731,900,047,265,094,043,928,
717,478,718,312,941,714,402,354,789,964,531,936,659,986,718,867,356,259,548,
604,644,559,591,914,177,306,010,283,364,960,968,512,161,307,508,696,952,995,
299,987,313,211,059,637,357,539,140,998,498,797,475,653,011,745,772,316,182,
809,450,755,596,441,784,082,815,586,313,307,572,906,453,103,635,174,359,403,
903,104,939,102,884,722,652,704,420,787,058,053,423,825,586,941,561,362,152,
565,833,003,895,672,237,106,473,963,884,154,110,849,655,262,221,800,405,112,
507,428,699,010,361,588,661,044,622,705,139,157,487,248,481,766,384,487,558,
038,871,428,997,647,472,513,704,547,405,207,983,562,073,228,644,203,548,346,
819,712,467,831,148,602,293,885,232,652,041,510,239,045,971,778,057,425,212,
078,940,603,355,304,823,750,944,508,572,171,175,324,184,035,498,672,410,307,
323,445,693,070,843,449,769,475,868,931,739,860,065,211,431,502,638,535,989,
864,389,122,381,391,315,999,526,460,794,734,592,263,360,849,202,356,981,783,
650,019,541,967,397,588,011,002,774,926,699,753,506,114,023,828,624,037,875,
823,366,945,307,468,076,678,450,381,291,436,085,393,979,475,375,661,080,366,
331,760,058,648,918,397,221,080,796,124,448,505,162,468,569,587,970,708,297,
571,889,748,977,481,182,815,275,089,013,918,847,062,130,202,653,005,150,702,
438,559,782,592,460,188,030,419,886,250,901,004,539,346,875,930,081,870,945,
718,473,164,013,478,780,669,157,149,653,871,436,790,838,809,473,713,724,630,
956,860,513,765,656,715,010,709,927,658,512,753,155,132,933,219,933,849,345,
037,826,235,553,389,541,908,690,446,375,470,778,707,398,686,657,613,034,914,
794,685,494,387,820,079,579,967,238,433,986,753,149,334,058,120,676,368,114,
367,975,710,085,022,173,547,251,085,558,031,905,625,201,471,668,883,207,502,
426,934,640,478,754,687,447,784,647,661,273,089,033,342,075,341,542,423,453,
018,296,039,464,999,240,757,767,038,737,646,923,569,402,707,196,558,949,618,
618,234,478,649,880,932,373,494,719,468,360,279,519,677,666,570,163,193,840,
042,186,235,832,655,481,723,174,182,624,213,796,811,951,209,738,971,515,207,
294,299,710,362,407,629,276,400,379,822,690,358,655,866,354,583,414,438,633,
732,724,551,024,488,631,201,874,984,593,468,071,326,147,867,303,685,294,297,
225,589,356,137,189,865,341,510,659,024,726,380,411,713,884,787,054,719,305,
504,689,955,127,553,052,431,962,185,133,070,993,106,333,291,242,335,785,604,
042,080,158,241,820,609,227,984,769,780,952,837,108,446,338,355,566,421,434,
691,083,166,645,026,744,776,087,571,221,791,820,495,383,750,510,851,402,683,
808,337,645,689,899,043,492,503,115,431,347,240,923,466,900,178,728,024,690,
529,660,901,719,104,977,203,094,740,137,474,956,731,689,967,333,623,143,096,
928,093,479,665,875,691,886,605,221,649,990,629,309,798,807,667,368,215,699,
878,520,257,429,826,284,321,512,520,351,492,270,311,554,564,544,350,165,359,
616,929,575,329,893,830,365,361,067,264,234,167,925,554,902,098,584,770,613,
884,038,981,938,154,700,181,413,239,400,387,662,950,108,170,520,924,839,774,
170,594,583,414,019,239,935,280,315,386,747,671,413,505,863,346,741,828,223,
624,561,282,229,908,457,876,848,749,339,541,131,675,793,986,720,121,465,780,
154,454,418,246,008,525,470,755,546,549,914,684,439,074,846,519,262,598,183,
470,608,721,832,864,556,433,642,674,497,699,423,633,068,159,845,916,161,076,
872,398,215,326,054,783,846,308,341,275,880,415,485,490,668,712,550,231,513,
567,287,630,161,384,887,685,079,719,012,956,844,756,848,513,995,227,984,609,
700,132,632,612,040,387,988,920,661,021,211,254,079,654,309,838,154,073,396,
624,375,154,824,030,487,779,206,636,711,381,519,612,794,754,501,057,214,380,
262,183,254,638,426,733,970,716,957,546,483,042,263,943,964,938,178,790,512,
011,585,979,732,440,421,176,661,304,027,345,761,353,813,796,361,059,547,857,
793,248,518,694,276,282,095,237,392,478,565,286,977,637,520,797,633,226,086,
623,281,516,802,267,001,901,982,639,409,274,303,095,997,185,337,775,906,774,
169,184,028,180,860,122,158,079,697,717,964,225,384,577,313,717,645,696,875,
383,436,205,358,380,690,739,708,425,188,738,138,679,980,929,777,537,982,789,
187,465,139,805,545,176,878,397,516,982,331,291,904,941,358,147,425,133,553,
610,841,488,242,001,634,510,622,576,986,749,317,564,369,886,182,463,466,040,
040,816,280,454,566,704,675,092,454,657,791,274,626,123,336,490,482,495,002,
280,822,513,338,314,315,190,901,244,388,355,561,153,381,165,405,011,521,864,
316,217,577,867,034,699,644,290,849,153,332,147,774,982,424,505,197,188,269,
438,798,800,610,920,717,910,181,389,265,759,235,939,696,271,187,049,987,271,
665,346,322,743,082,606,444,153,280,063,009,831,319,824,090,021,467,197,984,
392,214,431,696,587,056,855,664,234,359,288,109,371,030,137,657,290,688,588,
928,374,724,561,027,449,082,885,902,162,551,454,809,059,649,033,183,903,809,
233,085,270,297,046,192,148,556,923,274,027,519,171,443,489,779,435,372,996,
240,853,472,759,126,809,253,085,573,293,733,825,410,049,467,861,549,892,963,
311,916,080,467,761,252,402,440,416,426,378,318,638,883,958,759,039,836,548,
728,040,047,634,951,743,679,774,727,457,775,341,890,140,784,275,212,354,708,
670,485,756,840,053,898,627,420,794,300,814,313,004,276,140,075,758,140,121,
959,807,846,735,366,111,080,597,936,724,000,927,918,187,928,759,364,801,848,
038,585,475,883,603,372,587,446,541,022,482,049,268,328,724,289,055,384,812,
026,989,699,547,035,231,588,452,635,118,875,332,129,527,522,588,319,920,820,
863,792,932,876,842,106,378,319,048,829,004,723,952,254,769,034,725,528,555,
430,149,331,053,222,366,329,205,673,917,131,547,978,395,754,368,529,123,083,
472,007,970,440,963,959,534,964,132,998,640,442,980,151,546,789,425,023,123,
910,408,498,608,896,482,139,014,897,574,155,281,413,962,529,841,577,431,464,
464,007,745,860,361,174,593,540,742,778,953,576,915,550,299,412,525,961,564,
915,217,978,816,758,375,485,155,156,266,647,794,790,724,890,124,306,071,014,
970,323,052,994,426,037,858,843,721,246,913,163,120,857,257,242,236,216,277,
649,703,195,202,588,424,316,735,811,091,847,387,023,084,832,710,282,547,087,
462,483,982,294,223,388,156,881,632,450,134,943,762,226,956,518,057,495,541,
896,597,065,338,628,759,600,931,017,094,480,135,171,880,337,432,992,199,629,
948,142,298,580,151,843,922,223,484,271,961,685,469,294,715,102,430,016,540,
207,196,624,719,731,459,657,759,057,915,379,493,031,465,474,702,820,216,352,
894,010,959,261,547,803,914,759,643,044,643,422,920,358,361,737,454,421,089,
359,588,700,226,803,863,211,839,447,886,214,939,796,855,648,619,388,814,587,
886,132,660,525,369,378,462,671,982,988,518,007,719,761,250,921,740,447,864,
093,645,466,126,685,080,488,193,665,918,503,916,416,417,538,391,813,227,312,
515,666,138,607,730,110,231,620,490,298,103,710,622,271,062,458,108,832,591,
125,571,761,171,944,357,857,659,114,922,942,961,022,920,390,363,120,486,440,
218,521,746,408,542,054,637,215,550,433,840,010,995,347,475,849,131,587,790,
093,991,955,761,749,700,161,379,852,733,483,329,284,154,579,343,333,808,501,
823,718,251,870,272,247,107,914,437,965,675,332,421,668,003,753,437,049,443,
664,187,227,613,959,852,183,189,909,897,917,428,851,089,187,209,261,453,425,
506,328,891,027,111,935,097,369,072,388,637,519,500,338,583,933,819,547,229,
846,811,381,133,985,584,949,655,281,386,001,108,927,206,769,317,800,867,046,
728,892,598,687,480,664,626,418,424,072,470,831,736,065,594,710,957,033,413,
200,306,237,113,022,536,268,481,233,846,739,109,846,292,635,198,392,251,969,
049,130,834,474,518,541,054,820,568,054,805,887,038,350,206,796,060,654,981,
153,610,468,051,072,597,528,694,681,035,583,058,139,127,434,264,877,176,771,
793,404,869,270,059,103,515,270,723,910,108,563,598,643,564,609,075,567,681,
906,523,237,748,942,072,861,197,132,978,247,811,740,347,149,701,530,894,258,
049,330,640,305,193,854,547,622,789,477,571,266,073,994,814,126,514,189,410,
734,160,512,186,413,046,738,951,171,081,728,755,609,441,408,127,834,551,161,
588,960,385,540,268,595,623,391,438,790,178,128,661,668,429,657,584,809,721,
482,334,126,084,724,510,006,188,667,225,759,272,534,582,834,189,607,862,496,
628,596,801,606,987,754,167,493,567,354,751,022,933,689,853,092,897,882,734,
828,802,769,329,774,435,858,811,371,570,878,645,672,603,765,115,676,376,151,
067,946,171,819,977,218,384,582,268,340,419,121,928,217,724,119,933,680,634,
378,008,553,947,493,589,545,255,899,576,656,768,080,611,990,699,750,533,559,
773,562,000,465,520,973,518,518,794,744,300,417,686,471,127,464,143,848,493,
113,769,572,232,782,831,906,669,993,830,816,359,868,941,338,685,825,112,061,
233,481,353,833,943,629,175,265,012,013,620,433,247,153,976,279,536,259,237,
421,548,917,282,107,107,057,342,671,761,610,017,168,391,645,163,088,801,698,
995,201,566,227,571,470,104,284,649,768,400,429,735,409,418,918,160,100,443,
058,149,995,614,514,081,580,867,976,289,534,579,337,334,856,700,640,990,345,
116,622,511,391,891,995,205,980,923,989,606,385,395,062,214,095,622,912,639,
359,676,208,970,338,748,729,152,398,412,609,384,561,437,335,328,317,375,040,
411,289,158,641,331,919,676,925,396,989,319,378,393,460,244,745,037,971,303,
107,414,104,910,180,713,064,039,774,060,022,456,085,346,028,827,291,974,373,
847,469,945,166,501,590,901,528,348,725,588,997,533,236,398,317,861,019,131,
925,150,819,835,169,384,081,547,646,391,293,587,752,049,562,454,121,971,435,
449,827,307,349,628,827,059,194,496,314,302,903,022,121,117,311,382,036,897,
475,525,294,291,487,969,201,993,846,665,704,554,316,597,636,667,501,853,740,
254,254,514,803,625,352,619,972,415,870,653,018,370,832,664,479,000,095,889,
563,096,282,317,641,665,843,661,105,160,887,569,872,751,587,207,696,440,264,
142,598,685,437,217,882,200,028,452,417,894,439,888,489,684,593,806,357,981,
109,350,985,403,769,475,515,066,599,266,044,856,960,752,017,633,996,846,117,
385,985,418,062,908,413,719,367,780,031,405,998,937,631,022,753,193,064,573,
496,108,430,896,518,757,335,495,150,756,741,313,862,242,010,410,595,400,725,
959,851,599,241,368,108,429,985,723,821,731,321,570,175,651,008,230,671,502,
186,525,282,133,270,216,983,259,223,581,680,963,894,528,273,176,623,685,063,
954,750,717,426,146,638,921,461,878,964,369,153,704,902,349,254,836,492,468,
360,991,605,433,256,793,583,222,356,572,330,018,180,324,187,425,943,845,292,
438,716,718,462,135,999,597,730,299,528,554,320,330,247,793,291,846,756,120,
632,953,909,483,062,140,805,477,868,415,802,418,146,729,869,523,372,091,851,
447,972,158,614,970,726,782,409,514,530,492,046,035,652,443,906,219,268,363,
798,409,676,536,590,622,237,249,842,447,447,851,284,177,626,795,097,177,695,
310,834,891,575,463,408,310,266,907,626,080,433,853,396,502,058,874,597,638,
404,982,115,044,466,472,537,957,190,525,374,061,288,070,464,337,556,105,240,
733,034,144,581,429,423,228,338,292,843,477,121,120,229,938,220,162,886,619,
194,874,685,419,263,359,913,267,259,867,484,800,123,038,415,216,554,416,643,
040,801,979,923,863,610,912,369,808,488,254,643,034,313,875,083,048,261,768,
815,346,294,143,053,773,293,568,536,255,064,351,033,786,275,721,530,980,151,
984,214,166,336,455,810,201,411,692,996,669,281,944,819,834,492,265,858,659,
901,358,206,608,307,868,212,938,056,690,514,552,127,022,071,984,694,248,797,
004,562,721,220,963,930,419,819,922,210,930,817,648,614,644,438,400,819,866,
534,705,125,387,038,770,466,524,047,639,535,594,705,855,839,123,974,626,731,
205,057,180,873,110,035,570,927,265,083,964,611,914,894,123,461,770,927,933,
536,376,514,954,392,006,931,184,911,660,725,263,801,948,813,461,974,528,771,
133,482,924,433,977,945,562,967,094,827,888,937,416,162,736,152,395,747,960,
001,053,558,906,396,994,029,849,256,112,634,138,194,055,390,447,016,603,044,
953,519,962,835,801,762,219,180,634,835,206,935,372,130,142,376,553,369,605,
176,634,591,338,306,159,600,006,442,202,125,466,669,357,866,263,688,937,632,
838,358,290,657,297,438,562,595,343,792,262,387,480,016,295,562,967,029,698,
173,407,250,320,894,496,104,690,314,140,965,348,810,906,606,740,382,849,372,
564,625,811,544,826,179,051,832,938,427,191,153,188,111,601,460,529,296,803,
722,089,934,175,503,325,656,101,166,200,109,219,151,379,117,339,041,012,411,
540,223,785,665,976,063,315,092,915,226,201,980,244,923,571,303,989,588,709,
302,047,870,608,839,763,471,490,159,944,530,893,867,633,235,518,445,804,181,
260,896,138,998,630,575,431,300,523,688,133,845,138,837,263,362,062,984,430,
282,843,551,856,280,837,507,589,554,970,299,494,371,210,377,283,486,842,035,
774,571,229,877,706,318,459,096,241,509,625,866,670,987,269,871,295,631,346,
196,187,046,258,645,051,683,978,590,751,149,546,376,987,073,753,393,280,911,
707,112,244,959,168,258,993,404,164,256,443,088,143,641,881,944,015,881,166,
060,737,577,244,926,283,173,648,588,220,059,827,949,332,710,392,009,160,764,
942,003,965,267,105,686,086,382,312,160,975,973,211,696,098,088,724,787,927,
240,004,857,674,844,897,479,046,735,562,043,991,029,239,081,293,185,202,219,
616,485,197,324,496,962,215,686,872,491,667,764,868,495,449,517,379,756,362,
035,822,225,832,118,448,078,580,962,682,800,767,357,520,315,103,823,162,716,
096,755,616,551,785,811,022,207,626,445,991,637,386,248,880,308,285,588,780,
255,624,413,080,769,110,479,470,141,333,584,421,408,260,137,624,388,479,252,
841,939,861,929,616,466,776,020,397,223,173,537,158,800,896,768,000,771,588,
112,874,711,915,128,486,170,840,428,173,826,693,048,095,399,394,968,470,783,
447,846,154,245,997,404,123,017,091,304,214,815,717,278,889,323,075,423,705,
756,810,866,128,927,140,012,410,562,767,777,250,679,507,569,122,946,324,913,
719,182,905,051,900,034,069,979,369,965,036,452,652,469,742,369,049,355,025,
562,291,523,455,559,497,648,150,840,016,987,476,146,584,243,681,384,505,391,
919,758,460,155,974,626,932,363,497,557,982,411,411,015,512,228,705,695,991,
241,947,622,113,351,519,181,715,941,144,981,259,071,346,731,750,555,964,182,
766,191,214,523,789,235,961,545,949,111,294,716,426,727,882,886,633,634,604,
541,680,404,869,061,522,779,035,185,195,535,671,942,385,435,226,186,829,155,
354,992,219,563,115,152,703,055,900,155,411,060,123,504,520,672,777,992,506,
805,773,492,396,066,585,479,056,115,765,953,282,179,309,437,668,156,280,552,
474,340,698,086,431,280,961,219,651,711,254,439,626,401,028,400,935,423,475,
481,898,645,804,289,816,921,986,991,122,926,414,045,622,558,325,556,181,685,
892,695,269,864,969,079,609,129,562,032,564,917,459,620,083,082,974,814,561,
722,788,834,336,155,665,478,898,214,058,821,024,205,039,380,187,780,481,804,
696,285,779,705,352,532,426,620,023,384,355,186,325,938,597,830,789,786,260,
211,077,350,000,823,329,834,882,618,544,873,616,979,228,586,628,892,494,832,
725,921,678,838,171,859,648,493,934,966,525,564,234,663,180,077,601,249,622,
601,137,892,635,743,159,121,006,383,535,564,366,909,911,908,811,675,035,672,
719,338,973,639,476,128,714,681,711,290,979,535,196,552,616,555,577,283,304,
735,857,678,468,821,541,817,642,785,225,697,307,060,014,993,398,513,321,498,
645,652,194,526,984,465,101,867,332,960,852,333,629,651,096,044,612,906,461,
691,169,694,973,780,566,832,778,202,862,826,996,652,915,538,372,315,205,612,
621,108,354,641,967,449,301,615,699,590,519,640,805,603,263,569,126,397,753,
644,818,859,599,668,260,152,704,634,364,404,793,192,621,572,815,001,470,067,
414,084,215,155,856,635,134,242,987,512,693,631,413,833,849,168,493,251,838,
483,879,664,336,227,815,992,192,667,469,376,251,592,488,048,242,956,442,555,
541,316,953,737,041,735,637,186,130,354,658,943,894,931,989,740,641,084,733,
780,848,493,702,721,224,787,945,023,562,378,364,987,984,973,091,313,259,335,
892,509,564,557,081,192,261,599,423,095,530,666,836,787,204,583,829,019,486,
338,958,502,879,390,184,172,963,819,826,015,990,259,134,769,738,460,232,498,
591,237,784,641,923,971,243,829,574,415,077,161,539,040,290,021,851,714,776,
280,575,522,036,678,567,538,608,560,038,682,699,589,352,896,376,569,604,685,
383,366,354,240,522,301,216,932,229,480,810,588,949,413,436,584,914,529,927,
609,477,515,861,608,973,818,340,084,979,984,490,647,589,719,479,696,907,282,
570,603,042,724,123,195,547,951,509,798,797,710,046,433,434,266,152,219,148,
375,519,996,232,050,090,435,542,849,304,812,077,151,442,924,620,278,257,367,
782,614,250,741,422,086,013,073,654,487,085,193,950,617,282,409,214,052,048,
015,603,230,159,925,599,493,766,993,133,891,349,632,242,824,972,907,137,331,
341,003,206,298,444,615,912,114,201,751,017,275,527,031,103,975,585,764,115,
356,636,145,553,892,971,151,822,393,528,101,900,463,124,793,576,343,507,488,
023,708,796,608,996,816,686,987,464,280,667,560,328,419,910,018,709,920,218,
087,579,530,078,150,953,047,032,305,889,664,449,089,185,239,352,172,888,854,
564,491,070,758,339,018,685,104,021,114,945,717,651,860,613,862,746,760,283,
500,526,560,855,723,619,110,623,559,774,301,251,143,138,208,279,668,295,143,
512,656,907,225,269,011,206,155,793,518,778,960,484,689,354,949,307,057,192,
017,007,403,456,391,316,723,351,329,987,859,305,301,756,736,879,118,889,900,
702,620,591,866,155,362,942,759,413,008,271,334,595,350,079,635,340,394,085,
515,683,178,483,725,400,077,244,586,449,474,464,016,077,399,748,518,503,592,
943,252,919,763,854,516,541,861,076,618,634,630,019,827,523,528,388,704,030,
544,478,547,801,888,895,296,601,882,337,448,406,046,346,013,013,504,881,401,
066,154,128,587,445,349,684,561,638,722,695,143,470,816,758,035,544,658,218,
899,449,134,592,841,202,294,267,035,787,982,874,102,018,386,654,027,585,015,
235,048,840,811,742,203,834,375,885,444,325,076,485,637,467,292,409,969,500,
550,388,910,827,796,372,656,566,738,345,524,224,501,582,977,316,605,662,862,
008,873,855,457,102,637,375,584,307,387,524,177,621,372,586,082,931,920,503,
329,739,550,564,471,191,252,370,192,762,971,670,399,232,681,811,319,796,025,
023,305,683,215,574,964,880,542,581,955,662,248,484,020,685,905,120,124,188,
243,621,858,119,102,862,812,030,631,948,438,799,446,689,181,988,609,194,586,
197,012,239,675,835,530,455,826,453,064,764,705,658,519,943,504,108,782,528,
897,202,596,425,578,488,986,838,859,870,100,793,752,964,731,694,111,394,506,
104,309,885,664,564,243,217,269,399,039,121,576,299,644,512,640,850,806,422,
620,788,106,538,975,847,270,099,299,719,848,420,821,212,859,072,815,553,970,
744,504,636,338,407,124,421,770,879,064,160,305,107,791,397,267,452,462,813,
940,511,549,703,082,636,723,134,166,514,521,249,990,324,235,817,743,760,911,
078,632,500,702,325,673,782,233,054,588,006,298,157,056,497,212,211,198,160,
884,014,551,566,691,310,833,597,940,021,541,338,404,322,133,033,073,497,650,
186,441,237,596,281,324,396,168,564,524,942,129,871,686,877,693,516,197,145,
814,275,123,723,572,568,055,998,002,236,034,897,156,890,881,216,736,448,445,
369,083,981,291,324,364,308,402,895,892,143,125,317,277,229,229,843,230,620,
289,877,486,221,584,797,372,888,172,210,167,631,807,895,519,306,382,596,037,
345,390,735,574,340,355,364,388,089,221,268,485,814,461,865,415,556,737,015,
770,689,343,202,425,392,786,659,527,373,235,395,522,155,363,459,886,629,676,
646,984,298,521,396,531,540,004,745,566,104,508,685,305,480,718,151,079,177,
239,265,163,408,251,836,137,814,599,194,758,316,442,200,552,756,008,790,039,
491,667,422,097,566,856,779,554,468,893,217,744,358,506,606,377,286,180,118,
100,110,798,992,324,958,867,669,810,253,508,367,431,543,304,224,428,203,563,
390,837,792,888,056,939,481,506,680,876,865,193,694,472,718,255,206,351,626,
207,855,187,485,434,132,500,603,854,624,799,384,262,564,386,263,775,269,527,
041,409,112,219,336,042,199,936,000,897,782,737,401,848,714,516,402,507,899,
761,941,249,708,874,750,652,451,694,695,840,358,076,790,675,665,791,868,238,
960,421,942,801,802,618,764,431,025,097,815,243,960,432,629,320,132,363,173,
715,161,613,742,028,865,177,078,181,092,348,930,362,153,624,178,897,969,967,
658,200,459,106,985,931,481,790,659,511,560,753,480,675,844,537,070,056,470,
733,527,257,525,258,478,167,095,963,001,336,212,647,478,389,288,806,997,523,
878,380,761,741,406,360,906,989,697,689,963,584,226,694,052,128,698,361,593,
796,305,527,697,896,689,251,221,509,738,308,918,847,139,578,598,040,762,480,
781,299,772,557,533,682,425,660,683,670,493,970,745,765,226,131,224,145,409,
154,379,042,792,231,158,686,189,450,789,643,030,642,358,555,164,904,645,022,
407,753,828,500,289,106,877,765,502,059,861,912,467,979,355,194,930,779,548,
389,668,099,349,734,328,321,449,125,097,758,400,894,895,941,867,402,538,685,
177,157,737,545,851,989,174,111,736,025,819,864,570,731,452,108,380,927,837,
423,881,284,833,425,692,635,590,668,000,759,397,543,441,261,553,910,797,738,
398,516,610,111,922,025,307,928,518,623,457,791,153,375,532,505,017,069,121,
049,983,862,284,458,109,567,787,688,406,557,694,754,858,289,762,400,863,930,
390,286,840,347,571,250,317,826,669,790,044,734,978,244,875,627,300,956,830,
816,121,303,215,759,173,874,900,299,819,503,908,915,421,919,923,072,722,408,
644,417,502,795,735,401,963,476,452,453,744,539,395,802,468,301,524,981,354,
238,091,651,045,251,850,223,385,696,424,729,895,586,788,652,637,552,403,935,
725,229,785,187,720,420,803,005,185,681,015,554,645,133,521,113,445,056,760,
024,332,560,944,628,732,583,246,157,536,313,915,122,901,430,385,904,943,773,
560,897,656,760,515,864,757,589,035,152,487,092,045,365,583,392,573,032,946,
489,353,109,109,251,864,352,420,617,678,117,070,324,262,782,227,240,341,678,
646,545,728,630,406,113,138,777,161,319,933,401,350,206,151,135,261,042,610,
005,691,120,490,023,311,348,887,096,361,731,564,780,639,126,748,420,771,741,
117,152,635,098,134,280,090,952,966,017,766,712,247,864,176,516,787,307,778,
786,219,747,680,265,567,235,941,605,048,492,996,940,949,982,442,537,135,060,
929,383,469,735,634,198,050,025,950,915,474,076,002,393,408,421,971,971,566,
239,892,092,258,273,036,592,860,980,718,275,072,788,871,260,504,532,823,402,
889,905,718,592,067,639,613,118,027,374,091,813,024,537,578,456,487,608,696,
264,651,557,678,387,500,253,419,900,744,206,634,966,177,494,003,662,256,469,
439,931,632,708,628,743,791,658,360,869,539,748,311,625,390,321,429,615,468,
362,498,598,508,642,138,013,482,661,110,600,662,980,402,665,172,771,068,703,
223,137,709,849,670,084,865,183,905,892,765,001,440,263,218,623,170,896,475,
344,112,742,930,274,557,798,289,968,563,990,025,158,680,731,783,714,252,016,
809,881,067,901,911,317,365,825,037,299,660,865,670,720,867,985,124,196,482,
016,631,696,075,582,393,051,675,936,943,314,984,391,280,381,427,011,421,551,
658,114,238,831,895,752,613,248,249,236,964,799,851,842,350,517,316,992,996,
566,702,950,389,380,531,311,774,634,117,132,089,867,280,433,664,036,593,475,
057,318,045,296,296,066,453,183,919,334,577,935,128,940,123,999,612,514,289,
410,631,994,108,448,742,939,044,722,066,160,888,964,527,111,900,204,749,113,
993,384,344,322,449,943,217,057,997,304,635,401,538,862,204,739,793,358,721,
632,448,066,735,162,490,235,802,292,544,519,534,607,046,530,702,784,794,220,
227,159,340,945,697,747,514,569,304,085,968,918,614,801,739,514,767,725,801,
801,890,750,499,810,149,380,358,926,534,238,334,727,687,175,484,751,982,729,
028,653,653,307,583,500,742,289,277,600,918,042,508,874,278,921,676,055,143,
110,029,264,451,366,364,792,139,055,444,647,696,117,965,727,263,445,065,972,
549,931,349,328,336,920,302,894,973,738,012,200,073,396,286,875,491,821,603,
926,374,683,364,112,753,273,208,133,454,533,928,782,650,049,007,835,858,223,
662,748,573,723,570,710,965,406,726,759,344,676,485,828,867,003,209,863,588,
112,307,308,034,565,171,836,405,694,523,895,634,687,046,587,286,739,965,977,
781,542,737,161,069,135,188,755,506,792,078,700,415,430,149,192,157,063,364,
188,207,173,960,773,699,232,987,732,807,518,096,141,874,917,107,517,539,154,
529,408,923,269,256,203,280,227,068,385,258,623,680,060,476,423,666,207,652,
137,860,794,229,247,865,116,578,343,534,830,807,841,981,569,877,370,362,013,
222,337,794,512,896,125,506,428,180,605,081,956,781,974,660,657,421,589,094,
920,306,332,184,882,680,470,410,533,554,569,416,660,095,502,113,990,883,902,
165,844,008,138,662,829,864,306,777,315,612,351,987,328,863,507,791,367,998,
630,227,201,333,363,010,097,218,036,220,940,526,793,492,425,148,962,839,074,
397,112,050,322,858,301,582,471,761,697,335,547,574,196,655,993,778,689,080,
227,077,835,410,871,039,616,503,504,164,344,031,393,668,185,173,925,881,727,
259,282,177,135,390,182,639,241,064,179,588,142,199,589,773,898,812,378,278,
754,217,062,467,375,707,556,882,924,484,007,930,507,780,375,592,940,222,068,
689,930,482,745,455,368,040,162,721,832,801,210,253,576,484,937,489,222,913,
363,313,848,577,941,461,171,613,201,759,668,199,163,391,238,860,417,672,588,
746,106,741,782,491,714,988,001,514,135,986,827,457,794,374,045,714,697,469,
047,662,620,133,878,203,512,325,882,715,429,376,484,787,540,711,397,303,809,
297,465,261,511,861,096,090,822,743,309,377,672,288,507,637,895,756,537,408,
938,931,511,295,551,584,417,670,319,786,518,266,061,081,336,225,225,369,037,
558,673,886,351,752,719,790,525,297,476,577,199,436,865,677,002,961,406,231,
177,059,686,433,338,625,029,712,774,089,732,793,226,053,765,131,768,389,790,
454,985,252,529,221,132,589,473,517,139,712,216,427,924,237,498,368,387,805,
171,262,456,094,854,423,761,036,503,495,525,962,461,917,346,448,635,125,544,
483,129,166,940,101,600,576,027,540,093,804,042,865,947,303,946,850,378,685,
376,622,955,162,278,493,690,930,062,457,091,196,931,165,133,943,434,279,726,
057,592,210,366,532,891,159,052,761,213,217,488,861,604,674,256,930,731,275,
699,757,815,095,985,373,995,825,333,017,295,328,740,625,261,952,103,495,463,
174,039,609,434,255,826,283,364,247,352,032,287,745,541,368,116,975,867,762,
231,406,228,354,150,267,352,942,110,933,260,209,066,941,501,989,196,401,685,
152,038,516,474,485,532,370,196,336,547,779,204,208,919,599,914,196,804,760,
274,002,491,550,477,519,912,492,911,167,382,383,228,143,253,439,831,297,268,
474,967,109,324,628,920,773,017,537,440,319,557,422,376,940,569,358,988,796,
271,378,757,061,882,849,056,327,743,046,084,477,748,325,719,370,358,620,925,
805,975,217,168,720,185,480,282,976,518,548,082,121,326,543,021,479,713,546,
539,890,442,978,869,646,886,930,360,705,277,534,384,842,954,101,064,707,971,
987,193,148,320,236,521,770,748,657,336,756,380,576,789,934,608,522,878,926,
755,786,335,350,500,461,234,620,975,630,079,114,459,121,379,120,664,713,789,
455,464,178,427,664,840,723,645,724,199,484,778,549,265,527,319,556,751,172,
239,525,003,459,536,599,283,932,620,438,216,411,742,795,550,496,163,106,771,
506,228,496,962,677,216,575,017,903,020,687,189,777,914,387,417,726,988,431,
350,687,537,934,751,068,897,236,841,375,891,887,819,127,529,498,871,142,436,
056,774,525,284,068,130,281,881,555,535,381,399,726,650,382,075,713,548,268,
374,281,163,682,943,766,604,649,429,800,388,350,595,470,080,716,295,649,763,
388,139,535,351,867,382,998,573,578,589,485,351,511,047,960,113,202,348,774,
375,279,521,929,606,898,229,175,696,536,898,623,863,746,679,687,812,665,746,
940,044,317,611,022,249,557,630,189,207,208,571,545,600,519,511,851,731,762,
949,173,438,017,924,382,026,771,384,646,677,087,113,337,980,731,668,208,065,
453,193,770,416,582,284,500,709,334,402,615,549,119,947,992,569,843,251,983,
800,366,690,497,663,436,992,453,905,351,408,881,703,429,412,447,922,217,892,
705,412,110,687,796,105,582,573,944,005,169,911,043,227,974,810,664,464,152,
848,661,939,599,673,721,612,923,189,957,404,560,214,529,894,687,988,256,531,
597,463,599,674,904,848,749,940,898,250,996,828,618,313,373,264,073,131,004,
675,800,335,893,322,703,182,785,431,121,227,903,690,224,883,863,596,828,443,
686,994,593,114,899,661,294,953,143,534,975,413,076,559,178,857,538,720,722,
704,316,845,361,591,486,933,385,315,310,641,263,202,970,819,921,191,506,028,
279,130,572,238,521,332,704,670,240,997,064,566,464,471,106,895,033,991,272,
837,675,786,251,132,929,962,408,685,635,507,436,796,166,708,221,750,572,958,
953,298,494,685,375,867,222,976,315,497,700,640,119,071,461,959,500,090,919,
073,325,609,648,739,327,974,595,336,708,413,231,251,129,617,435,305,568,783,
131,785,848,842,532,331,708,314,084,141,386,986,226,559,272,061,340,288,270,
186,949,136,622,013,615,394,518,478,830,411,752,443,818,918,460,010,290,405,
185,518,915,786,328,011,203,560,751,694,541,331,942,738,395,254,063,494,922,
066,902,711,403,235,979,437,185,872,123,782,310,860,227,777,878,695,595,321,
773,895,428,160,760,290,638,949,542,381,598,844,816,689,541,458,804,962,864,
599,751,215,190,508,185,716,913,505,197,427,992,692,931,672,462,384,598,322,
244,996,156,960,666,622,437,162,596,998,732,855,365,696,186,409,004,631,966,
608,734,843,743,872,398,624,462,003,210,802,906,949,695,216,030,924,422,004,
782,461,350,406,070,056,384,485,680,799,918,922,639,373,195,066,042,754,573,
192,404,644,417,077,255,876,612,464,815,174,178,767,795,345,609,605,487,501,
778,168,307,527,744,301,993,933,261,792,582,554,878,643,436,705,857,421,670,
680,497,159,401,353,430,506,699,702,151,720,936,555,667,335,204,263,332,631,
796,621,820,031,475,924,486,541,464,133,670,270,710,874,394,382,081,615,287,
617,935,745,710,337,158,539,898,242,686,032,872,517,322,337,027,438,641,252,
277,767,291,756,414,550,366,960,177,455,173,896,613,953,894,680,653,505,852,
474,997,218,471,044,415,600,826,181,176,051,204,809,228,853,185,801,950,733,
486,342,350,810,703,122,413,878,512,255,307,311,824,692,662,409,906,921,537,
535,802,732,302,248,172,123,286,293,748,608,248,407,823,866,133,465,088,598,
187,350,386,951,116,884,042,501,290,811,552,329,631,119,455,895,277,323,209,
940,855,647,597,514,301,422,928,945,617,173,438,389,773,456,682,482,660,759,
135,976,766,935,364,444,154,564,492,156,898,651,263,741,105,644,770,111,261,
987,645,505,947,419,631,060,620,165,209,727,020,270,508,649,855,681,096,592,
206,407,605,887,475,191,515,205,427,093,216,046,901,014,993,686,262,732,010,
376,817,947,426,035,622,363,762,674,915,772,188,965,084,690,565,735,728,733,
539,807,300,759,521,608,389,667,801,923,956,523,168,068,982,439,174,342,505,
071,997,205,419,844,228,391,288,258,401,843,474,743,425,909,944,457,539,002,
371,251,268,921,202,307,569,001,376,576,375,224,861,414,405,579,593,349,035,
382,993,432,766,267,176,653,499,162,550,234,593,913,862,769,133,472,798,617,
977,203,658,393,856,933,280,106,580,474,217,250,739,093,617,643,246,808,057,
289,173,648,415,043,500,636,026,440,384,065,750,324,994,754,294,090,999,316,
231,866,190,533,629,350,382,547,316,332,560,469,374,774,175,307,506,756,213,
427,036,643,126,776,297,365,837,423,756,451,972,861,937,938,321,043,154,227,
055,099,555,344,556,725,946,683,481,443,390,595,725,960,258,502,316,859,003,
949,881,221,029,665,725,327,647,707,113,599,591,060,103,659,104,476,115,973,
244,491,164,220,598,672,793,164,133,263,497,570,956,119,475,930,256,520,694,
911,552,005,236,421,063,346,891,273,751,814,803,021,422,284,798,850,272,229,
109,880,907,877,084,911,620,693,458,664,190,020,968,443,013,745,366,217,820,
996,343,280,031,079,711,975,932,172,748,754,197,323,715,207,981,821,616,324,
102,936,831,598,122,396,401,496,254,693,137,210,920,204,260,087,415,626,542,
334,855,427,682,301,984,645,818,619,826,091,117,253,597,073,115,747,538,173,
246,253,640,772,470,886,109,480,290,940,973,338,145,730,187,130,674,683,332,
556,919,646,605,510,195,588,158,330,526,872,721,535,744,736,553,461,333,128,
413,575,824,877,999,217,946,639,372,898,335,589,112,184,019,462,767,547,126,
216,422,047,055,597,028,929,429,170,244,098,991,262,768,641,524,867,232,196,
198,269,499,506,851,384,952,018,036,176,518,927,906,573,908,482,797,902,506,
209,471,798,484,182,162,171,574,379,048,678,596,029,195,458,531,235,799,818,
057,562,531,867,971,132,907,693,070,888,771,929,142,719,320,117,487,830,366,
281,278,061,213,307,454,512,799,598,027,880,133,666,852,438,123,719,114,808,
099,003,643,274,704,061,488,285,527,395,026,269,853,772,917,138,053,090,293,
216,056,123,977,818,040,113,298,643,097,240,879,796,604,091,451,635,975,897,
338,420,350,810,024,783,407,507,097,173,899,448,556,303,056,626,269,658,766,
579,763,515,024,898,482,511,585,755,627,540,435,468,753,332,481,692,132,074,
059,163,157,756,900,504,372,475,043,947,614,894,824,051,896,227,024,231,135,
619,263,093,344,031,241,486,141,823,770,986,779,336,272,007,815,274,476,601,
807,616,963,798,852,139,554,567,530,941,580,042,544,295,952,586,119,506,942,
997,280,189,938,416,076,558,599,492,872,338,458,888,687,426,248,887,151,015,
832,583,287,516,241,935,134,995,255,602,387,951,123,772,808,105,189,327,336,
960,870,939,900,627,906,878,979,320,528,078,425,402,322,297,288,707,635,081,
899,038,250,304,822,230,967,849,964,143,806,895,349,762,967,519,826,413,005,
403,487,190,734,142,186,530,543,227,482,409,189,953,326,775,382,059,191,169,
538,083,558,296,264,640,595,260,086,164,176,136,921,428,672,449,590,569,163,
384,540,356,807,081,925,146,278,273,746,187,130,698,430,370,433,318,357,161,
038,223,634,147,820,774,298,134,299,378,546,915,571,397,697,561,018,075,619,
473,004,009,914,762,458,254,862,513,316,548,032,172,083,534,608,465,400,935,
653,635,140,367,623,956,814,348,001,916,469,666,940,329,708,381,677,905,927,
382,834,333,327,835,448,634,452,921,395,523,084,566,268,448,261,978,810,749,
360,887,752,346,093,400,354,534,258,235,240,383,155,042,396,160,893,343,281,
903,779,354,652,276,847,204,921,300,617,582,612,543,764,482,127,882,637,550,
956,529,403,196,167,487,355,581,371,919,978,078,867,041,897,100,813,854,475,
974,116,212,397,939,508,008,079,398,871,988,753,632,297,684,322,975,818,603,
049,554,946,260,679,053,795,826,114,312,190,778,664,246,068,761,399,692,605,
686,801,385,188,705,053,776,746,477,532,347,830,423,818,639,782,326,682,633,
543,329,180,370,766,891,446,672,738,079,288,945,499,381,340,460,358,795,249,
570,290,260,643,814,115,737,219,102,140,980,553,023,451,467,223,596,966,919,
976,028,289,104,131,403,590,292,755,278,890,765,355,456,888,494,289,250,440,
428,542,413,106,875,314,027,044,745,852,517,003,580,234,676,548,477,164,368,
379,564,605,666,775,191,149,552,962,899,138,486,895,465,420,355,275,203,031,
922,064,778,751,266,944,731,314,296,507,479,567,399,962,764,527,762,258,588,
631,598,827,307,152,831,237,480,218,807,119,882,435,140,999,532,845,168,443,
530,629,381,130,621,691,299,696,767,833,164,142,119,766,085,647,861,472,168,
601,766,350,106,958,241,282,622,838,581,869,826,624,893,286,074,208,928,553,
959,371,479,974,897,032,199,068,472,664,186,816,745,906,039,604,110,034,133,
093,802,163,133,372,842,275,028,704,557,130,301,362,390,385,378,606,102,504,
390,191,854,741,293,664,032,761,855,303,044,778,156,353,561,831,191,067,735,
191,324,074,215,614,767,576,902,427,753,960,012,256,745,050,166,651,586,515,
497,643,025,258,325,218,109,724,081,278,077,384,204,174,633,611,976,555,256,
755,009,670,654,726,580,522,672,790,990,859,441,228,943,620,935,052,584,911,
814,394,271,103,581,582,987,672,583,125,667,034,101,518,400,877,988,472,353,
966,709,544,920,165,670,863,209,840,251,467,816,166,197,495,676,528,586,396,
665,103,851,375,640,098,821,660,487,744,374,385,161,194,618,397,966,504,899,
196,849,761,333,702,082,238,027,616,991,585,590,946,377,089,360,285,830,302,
060,920,222,566,301,390,578,211,372,180,145,245,097,451,662,470,880,773,924,
885,372,803,831,785,437,830,949,981,133,551,126,547,385,765,316,629,790,431,
131,913,737,455,724,734,181,384,743,866,401,338,269,578,266,971,511,249,954,
769,587,964,701,540,483,718,550,646,125,258,797,503,365,047,372,656,743,140,
533,704,303,507,344,002,214,548,576,125,739,832,035,004,915,593,672,242,503,
828,939,687,988,859,741,676,369,276,209,450,404,520,283,447,100,175,850,144,
148,796,618,536,231,541,301,420,771,342,824,099,790,063,709,211,336,233,170,
814,903,405,486,227,428,681,922,591,996,589,552,111,992,217,482,007,611,063,
244,991,052,353,730,479,749,623,499,730,260,527,718,370,690,844,912,546,205,
567,140,176,100,454,740,201,478,489,470,104,620,853,781,114,313,404,122,935,
357,208,077,910,560,126,010,367,768,015,332,897,543,236,785,465,873,614,685,
946,292,165,602,954,463,445,228,623,335,980,820,734,621,492,954,339,750,621,
088,698,380,934,640,143,134,039,336,970,492,097,211,929,733,610,434,522,062,
677,079,519,218,287,984,648,659,651,782,514,843,645,446,462,960,661,234,526,
088,296,916,897,611,565,357,311,923,537,295,970,294,244,851,110,735,757,015,
743,306,235,644,140,969,839,737,034,831,793,040,953,930,453,302,513,105,159,
955,338,166,739,618,235,207,874,297,486,051,174,151,247,833,325,830,794,904,
993,458,881,476,372,050,495,676,773,018,247,670,746,375,117,429,652,060,485,
638,314,000,968,533,621,697,956,854,155,621,395,355,273,357,157,762,012,626,
844,829,680,577,492,653,234,755,932,264,070,837,660,475,996,927,353,178,542,
207,922,333,291,124,257,988,784,726,706,234,441,269,564,731,771,650,169,597,
505,174,383,871,261,696,717,540,879,688,671,527,553,050,378,742,848,503,247,
276,331,955,149,099,139,426,664,366,124,847,949,113,121,467,450,541,359,883,
973,446,801,600,750,217,716,570,808,170,627,501,588,007,428,043,007,399,562,
095,701,183,247,474,626,139,354,845,595,913,015,070,619,486,752,674,381,182,
232,666,646,013,077,591,353,623,019,139,319,743,683,694,297,258,234,211,426,
758,327,495,483,800,511,894,024,045,057,021,518,745,457,958,100,582,899,473,
347,086,444,038,559,607,288,379,354,004,327,608,558,198,821,482,836,843,669,
535,252,753,277,927,237,547,297,360,180,885,774,216,172,168,290,335,487,854,
650,445,222,901,527,792,419,755,563,026,261,577,082,191,234,561,192,236,665,
813,549,378,605,942,884,557,517,268,498,246,784,216,794,685,966,432,375,814,
825,887,886,116,200,779,042,056,192,330,226,070,596,657,382,693,906,902,155,
870,698,434,457,525,394,325,265,097,433,111,630,098,769,028,113,985,626,577,
419,547,177,463,256,960,982,503,469,931,302,307,746,923,769,612,798,701,373,
649,373,107,615,791,801,694,343,915,143,032,987,250,674,001,436,149,750,246,
327,027,351,845,352,543,241,673,716,206,153,850,985,469,455,043,266,801,429,
781,538,304,610,094,821,083,640,200,714,675,014,278,110,502,498,473,366,344,
880,073,002,400,078,058,532,271,996,027,995,644,212,940,944,322,560,595,580,
809,855,608,322,572,971,554,620,314,399,304,085,210,802,250,105,860,674,006,
158,766,911,584,476,796,600,519,233,075,319,601,278,760,178,841,934,165,830,
796,725,384,283,958,512,938,622,114,479,618,448,135,361,224,022,793,087,392,
018,479,911,231,090,591,766,275,663,240,415,443,568,854,246,778,098,061,589,
236,299,578,080,153,146,750,788,239,273,021,958,018,197,602,638,328,725,583,
569,191,347,826,457,676,691,570,286,129,004,916,728,153,913,127,501,308,845,
767,485,527,273,644,974,936,491,738,948,680,096,837,218,119,832,591,362,484,
081,009,266,414,541,625,831,555,539,211,032,982,410,177,425,113,450,823,053,
722,301,309,790,910,580,355,669,933,119,653,636,782,288,913,781,708,581,342,
750,880,448,243,616,893,029,190,204,984,118,149,239,910,563,601,858,256,162,
564,814,405,320,222,995,824,523,214,362,814,247,280,026,074,918,583,655,735,
364,501,058,456,024,544,646,963,775,710,672,253,870,479,371,094,436,316,467,
454,796,560,825,837,707,007,918,696,374,068,060,946,869,351,956,903,570,705,
147,023,267,551,820,263,094,713,039,723,065,842,815,886,614,054,706,860,624,
181,558,217,882,138,603,983,995,356,988,437,899,656,241,060,051,851,662,108,
352,526,793,757,555,472,305,696,651,767,500,173,877,273,955,768,264,992,816,
498,757,756,999,089,575,150,234,356,930,079,638,358,369,935,947,242,752,858,
424,938,703,446,830,701,302,877,231,002,730,055,946,954,992,788,401,655,063,
569,651,468,199,423,398,235,055,781,400,688,271,347,417,470,239,290,325,487,
558,889,379,963,502,819,501,793,998,347,117,321,882,958,716,975,008,850,414,
108,468,224,856,504,761,241,621,612,509,984,967,852,584,542,435,518,775,632,
330,788,738,070,435,582,579,717,877,000,375,801,110,955,525,968,068,839,433,
636,217,364,000,222,673,237,546,374,450,939,762,042,675,321,431,355,785,998,
800,752,660,229,949,861,973,168,156,262,933,383,863,813,639,999,562,045,181,
882,957,277,414,285,173,454,731,020,611,358,546,885,745,607,355,033,529,038,
531,005,802,417,107,795,751,518,566,584,978,723,723,626,485,506,220,077,673,
645,920,990,600,277,698,550,252,436,162,985,613,012,296,996,176,024,013,457,
839,601,188,346,859,773,067,632,261,540,192,857,210,877,135,827,683,819,298,
211,501,220,555,248,627,225,082,878,850,202,112,634,127,998,127,841,276,814,
312,511,307,917,709,650,621,432,943,161,101,925,269,070,751,325,257,559,946,
442,595,188,569,997,779,817,748,205,631,935,529,907,650,984,203,161,377,236,
058,631,818,470,418,156,261,131,088,748,570,046,331,752,699,534,210,756,445,
196,332,929,840,410,520,559,062,640,565,038,086,167,236,938,991,378,819,598,
580,213,836,992,731,835,671,976,164,711,158,324,277,528,748,759,571,082,471,
308,277,113,500,149,780,775,352,483,919,443,280,329,598,694,111,125,671,199,
944,789,753,321,065,393,320,622,320,910,444,987,849,234,667,822,220,439,433,
487,104,083,081,618,626,311,081,985,512,036,637,161,817,510,066,176,982,774,
752,393,994,104,077,628,713,190,216,009,375,264,033,333,326,512,756,437,154,
711,564,186,967,141,474,613,416,409,985,169,077,832,445,269,753,369,263,876,
101,695,706,013,049,559,704,794,037,338,544,721,615,988,969,387,485,673,169,
349,110,375,387,973,733,039,957,401,908,871,785,673,071,559,771,700,139,235,
717,965,635,101,012,216,537,918,394,776,027,766,480,803,731,110,358,986,649,
976,410,025,386,043,589,972,438,321,675,568,626,234,283,884,779,514,367,183,
261,674,763,469,954,590,255,326,080,305,418,948,263,503,373,121,437,800,091,
925,645,771,588,942,018,001,873,253,734,902,833,488,908,545,359,563,166,409,
596,265,479,407,368,521,193,484,197,443,466,060,818,107,991,070,614,237,747,
021,422,933,845,587,687,466,797,722,889,779,054,967,962,609,372,306,818,914,
442,841,089,145,824,727,797,873,302,152,418,619,493,197,329,475,038,504,799,
293,489,657,757,081,533,115,160,193,329,977,271,237,061,466,631,213,731,798,
531,872,358,849,010,241,328,594,989,201,553,495,079,408,095,000,293,222,030,
640,411,942,856,356,573,262,391,694,544,635,896,391,609,950,676,027,250,160,
422,808,904,342,953,491,475,582,108,325,934,196,432,868,460,310,152,135,549,
757,628,181,323,972,270,331,927,188,925,439,390,772,137,182,875,645,966,600,
353,097,263,421,649,517,906,386,219,055,590,646,810,123,398,344,677,453,586,
191,807,713,131,905,955,942,412,135,411,632,487,227,144,935,758,818,603,797,
048,195,368,293,240,118,835,680,880,225,695,376,579,670,805,229,545,205,721,
586,732,924,960,366,192,198,794,882,241,818,498,385,727,867,103,819,432,017,
962,266,103,388,935,010,389,586,493,631,951,941,794,944,374,833,147,948,928,
440,342,068,223,891,442,298,967,914,245,752,091,080,100,490,466,499,088,920,
007,368,082,614,829,231,353,377,408,990,391,914,902,664,117,465,093,242,842,
145,542,950,339,124,779,860,004,735,099,023,650,317,707,550,832,397,313,498,
134,781,420,816,435,796,970,391,280,180,876,035,441,010,514,305,635,550,607,
951,102,554,038,395,417,459,711,107,709,001,142,547,174,370,694,139,926,672,
688,412,822,091,107,074,064,589,462,765,457,315,128,130,750,446,361,096,401,
287,184,092,570,042,340,679,692,185,333,195,835,672,427,112,084,910,174,799,
019,524,117,808,841,578,138,640,560,141,484,826,562,111,628,035,588,766,872,
399,773,526,344,177,159,041,274,333,954,837,442,789,119,642,787,055,777,641,
975,814,572,687,849,573,326,519,977,062,814,764,558,364,865,365,372,942,384,
021,038,917,212,643,752,583,103,773,395,834,598,488,168,873,805,056,081,649,
784,150,436,991,671,133,419,756,088,905,346,938,529,054,978,638,205,486,460,
423,694,966,447,642,714,510,768,736,001,409,979,360,475,512,333,048,251,343,
820,913,450,147,460,735,073,242,758,558,149,082,049,063,860,641,334,609,804,
388,550,725,431,279,149,946,578,919,808,933,854,197,729,104,729,815,517,720,
618,700,479,390,653,757,005,348,142,307,125,922,524,991,674,843,340,980,806,
095,073,524,031,098,571,237,238,214,095,677,728,533,004,256,215,390,588,468,
819,164,706,565,430,140,017,470,553,665,389,645,393,690,836,559,588,656,359,
413,051,181,532,522,665,928,494,431,224,725,388,473,840,045,937,637,868,560,
625,694,838,466,048,700,812,724,157,604,197,004,507,025,675,649,612,499,323,
102,496,285,135,015,530,112,088,941,484,140,497,437,695,517,730,746,587,868,
238,896,389,778,036,173,556,407,724,455,168,241,667,328,231,963,310,415,143,
176,342,013,175,817,957,290,346,475,385,386,801,999,529,838,745,464,228,350,
581,173,138,759,179,715,240,933,851,937,416,349,858,991,912,366,719,015,146,
409,708,170,529,961,072,673,587,872,844,060,765,971,982,785,291,571,395,435,
518,505,196,916,195,199,419,779,829,463,239,608,400,400,477,904,356,215,081,
636,186,588,690,063,712,033,941,777,232,769,742,750,974,118,779,893,994,642,
141,467,376,432,317,474,068,762,877,013,184,772,209,726,716,384,810,376,791,
312,485,462,318,716,422,414,334,109,580,573,002,411,875,386,942,572,474,784,
775,600,910,200,257,436,244,915,491,747,554,135,993,774,495,188,167,481,620,
848,372,012,880,237,157,040,845,244,076,691,359,538,799,477,091,531,696,311,
815,585,525,770,645,373,671,667,543,931,173,753,658,367,859,973,846,207,617,
915,058,063,535,644,191,738,759,094,682,961,775,121,820,460,490,324,236,005,
860,887,029,570,573,124,372,407,382,920,668,606,406,998,969,948,460,231,370,
590,625,013,706,740,877,222,041,310,860,401,131,533,432,692,089,274,688,525,
838,336,328,779,284,732,512,105,560,348,745,511,845,128,260,698,342,125,765,
238,869,524,918,353,667,228,928,950,250,145,727,281,849,080,332,670,103,816,
363,757,225,259,936,188,592,393,494,584,051,525,528,920,877,683,491,322,409,
371,875,907,202,584,388,279,696,803,713,148,573,803,216,594,314,353,096,296,
743,695,735,832,130,335,862,572,682,669,905,376,931,872,520,008,891,249,614,
826,793,975,614,030,223,683,901,742,193,210,996,133,725,710,316,013,433,354,
209,255,301,564,654,289,602,714,195,912,503,766,833,097,164,074,140,037,177,
198,201,459,067,430,355,314,334,296,752,840,839,534,636,806,743,158,147,545,
282,131,183,354,691,548,729,125,357,682,910,090,747,054,367,576,131,542,688,
674,359,686,971,882,856,244,588,526,503,419,159,273,166,231,551,046,827,205,
570,436,880,985,068,709,581,567,455,832,867,617,971,343,340,900,627,693,256,
402,520,822,444,563,485,055,121,382,392,503,511,723,585,916,694,620,927,788,
293,889,355,158,122,511,918,034,986,476,895,612,602,933,070,148,581,514,172,
968,620,100,508,304,476,652,158,054,444,342,008,515,069,633,713,111,956,011,
631,704,770,949,943,923,388,341,301,066,486,435,306,073,303,766,267,206,898,
272,815,830,130,022,255,797,871,663,136,217,739,823,673,461,805,061,902,508,
923,781,300,840,368,473,937,080,247,733,129,147,217,400,168,704,214,273,414,
308,427,201,152,474,226,249,044,445,224,821,304,761,522,647,503,028,361,493,
731,350,324,356,663,322,868,407,733,507,587,752,581,678,620,802,644,310,771,
270,006,573,223,636,359,044,049,041,651,554,150,104,033,268,739,417,937,157,
234,570,466,124,212,664,758,016,169,856,866,867,908,703,632,842,642,552,486,
755,033,838,104,943,805,532,300,646,476,863,833,024,864,873,209,495,790,408,
173,806,784,658,479,658,032,839,712,519,910,026,233,855,070,533,503,027,384,
274,966,304,624,146,511,556,499,534,520,500,677,707,615,380,007,931,024,765,
336,567,492,389,432,838,909,970,574,958,396,265,556,049,068,794,018,976,210,
351,795,856,915,079,730,673,790,173,406,941,749,618,509,239,727,376,430,739,
491,637,623,531,220,133,885,287,025,868,390,589,939,946,025,637,898,090,510,
219,142,032,053,557,904,868,375,161,369,551,131,372,828,616,683,425,040,304,
780,041,627,842,868,889,807,394,871,568,501,966,638,052,624,988,850,775,650,
293,687,466,894,011,698,772,865,219,531,638,535,331,142,311,313,592,954,463,
221,578,966,519,956,131,230,229,085,556,599,267,558,908,597,601,719,372,507,
932,260,028,822,301,621,606,650,990,564,773,934,915,701,338,841,433,267,311,
928,023,997,860,012,217,633,669,138,477,444,240,109,266,065,959,114,890,057,
203,962,573,377,169,208,083,332,853,865,626,766,047,101,148,920,081,427,815,
390,506,596,678,590,896,208,180,192,136,919,904,160,963,314,497,852,935,585,
509,405,358,203,937,319,203,712,769,884,943,318,665,746,701,340,071,381,263,
631,759,325,399,601,424,081,382,906,087,201,955,210,413,560,737,115,829,376,
885,404,865,203,729,805,718,023,127,023,103,881,509,100,495,245,022,781,163,
199,527,393,305,052,273,644,556,316,851,065,726,167,396,719,875,218,732,716,
279,560,302,951,070,277,752,775,011,566,615,358,194,615,345,283,148,680,741,
153,466,357,392,885,354,782,112,662,221,689,427,358,171,943,868,125,242,827,
101,020,491,323,944,142,290,819,480,880,545,577,349,248,896,554,852,207,235,
806,193,988,672,237,911,638,547,478,956,360,139,523,904,750,822,190,176,452,
094,176,251,343,543,012,558,909,491,633,281,320,587,196,034,683,130,024,396,
943,327,129,461,924,458,540,160,293,759,058,639,833,204,584,920,562,123,475,
033,502,513,892,853,585,484,695,560,462,935,920,703,400,849,003,747,902,772,
031,900,599,244,637,185,143,696,821,333,281,430,070,013,643,963,324,238,216,
746,271,809,699,302,340,332,457,596,413,532,297,266,705,646,572,084,377,041,
398,623,450,199,262,473,643,067,033,402,946,930,784,292,521,960,901,262,962,
605,911,629,287,734,091,225,808,388,169,813,098,436,904,120,477,853,649,518,
807,474,717,194,979,969,014,988,420,012,540,703,616,384,401,677,153,528,339,
260,310,542,661,519,648,446,784,760,871,384,060,260,894,025,466,426,666,156,
881,256,583,421,301,099,566,230,840,991,113,481,101,464,851,732,095,479,811,
090,117,867,560,004,774,322,432,552,362,810,297,000,709,182,570,335,392,292,
877,811,573,132,414,772,693,132,563,940,784,924,415,148,343,372,594,905,934,
872,129,618,343,205,928,719,703,982,181,915,198,627,484,661,334,240,156,142,
267,129,965,893,553,896,249,648,179,592,907,874,864,499,050,212,785,617,888,
144,123,731,018,279,734,396,309,838,090,507,476,046,380,514,777,389,897,897,
318,888,209,771,933,014,414,092,392,753,171,811,944,467,968,484,970,811,077,
254,949,229,853,646,113,303,711,021,401,418,144,562,743,725,477,899,280,730,
736,675,241,322,125,959,437,370,260,050,413,031,981,633,962,550,828,528,250,
498,102,948,655,429,955,287,269,126,250,317,630,333,319,996,457,369,922,451,
271,720,547,476,242,589,777,073,760,200,570,257,769,221,769,257,197,854,600,
197,959,839,548,639,140,429,674,318,431,296,242,730,333,639,217,248,763,838,
242,628,815,870,647,125,744,659,655,233,713,262,200,475,043,271,965,046,827,
998,857,570,445,671,687,589,562,985,423,067,023,174,920,047,304,990,754,004,
481,741,285,886,109,284,998,814,875,136,298,131,758,223,149,142,639,516,730,
628,697,521,517,041,269,480,938,405,120,557,128,998,200,375,034,577,402,281,
555,521,139,587,252,877,456,466,537,840,934,206,327,764,753,904,567,967,972,
034,674,787,423,615,585,780,165,714,964,699,848,541,197,645,874,851,210,853,
966,602,928,192,789,341,517,523,301,274,305,428,230,108,746,147,494,413,575,
360,026,651,253,421,854,672,538,126,331,008,249,972,717,495,814,992,006,861,
092,691,769,538,735,199,896,638,208,006,429,103,004,992,826,021,233,278,875,
654,175,781,868,623,332,815,510,776,341,739,833,034,543,158,876,811,078,367,
025,641,357,331,049,132,881,988,493,572,422,345,206,584,146,728,316,215,055,
271,752,612,498,158,292,432,411,783,089,591,451,962,696,253,171,876,443,799,
669,571,982,518,658,530,505,534,100,155,762,267,633,355,292,092,592,051,337,
527,232,484,180,758,877,980,205,975,529,414,994,074,965,643,263,925,176,529,
461,793,056,151,786,069,871,024,839,443,947,654,435,757,693,266,497,845,719,
995,623,136,775,487,066,356,961,208,084,213,774,148,045,592,800,884,238,506,
993,301,532,509,644,571,100,528,630,870,707,274,536,963,528,578,342,783,428,
308,768,875,539,638,657,976,098,884,614,370,302,962,987,222,383,542,281,179,
669,719,667,398,969,167,816,986,499,248,012,272,853,380,550,592,050,583,153,
468,798,323,521,396,822,529,349,083,661,298,560,030,437,497,147,869,830,452,
292,371,099,768,314,099,538,822,739,728,527,195,888,624,082,251,075,722,824,
470,803,185,404,803,643,078,486,161,169,907,813,223,176,891,996,310,277,039,
382,305,696,347,777,010,888,964,582,658,126,229,889,332,952,480,673,431,210,
156,757,640,722,723,090,374,064,828,127,331,912,312,780,482,165,967,008,247,
343,891,897,937,151,884,426,897,570,077,974,940,792,373,530,021,620,310,677,
350,188,072,352,009,219,677,340,800,712,522,950,394,010,020,614,090,440,007,
723,332,558,890,863,752,734,690,443,442,519,827,829,178,452,578,638,893,336,
399,918,118,657,102,863,646,872,987,290,899,331,526,853,414,807,315,876,687,
418,002,021,540,534,803,422,504,121,028,247,748,494,770,995,845,327,584,117,
695,785,810,379,920,594,862,774,399,668,383,536,363,873,696,092,121,430,929,
051,242,181,804,238,001,184,895,166,876,325,332,091,667,192,146,505,318,388,
295,672,429,089,141,115,653,125,330,171,733,127,839,102,952,836,426,098,675,
389,199,299,797,224,949,771,034,381,549,088,584,511,756,507,181,861,884,573,
985,625,194,248,567,489,945,698,718,452,353,557,994,769,761,529,848,071,354,
619,342,801,177,133,225,424,072,656,147,437,027,460,049,240,700,330,341,590,
272,448,815,576,312,917,729,594,637,920,623,843,032,199,908,023,299,340,475,
980,967,073,733,932,507,063,386,477,811,479,853,778,191,206,875,229,249,774,
520,915,229,951,681,620,169,899,596,355,847,938,520,954,329,650,819,652,276,
156,061,197,235,476,957,487,898,309,964,966,497,290,589,044,908,860,501,557,
363,940,180,310,923,886,245,074,801,486,062,574,349,992,872,838,656,432,643,
124,004,068,349,154,926,709,235,463,988,288,843,289,682,741,754,120,400,866,
699,919,954,254,222,146,601,214,071,005,262,003,563,298,451,703,658,402,267,
955,856,227,169,877,712,178,218,467,430,813,464,639,370,907,757,701,547,156,
037,318,376,528,100,311,567,509,842,102,140,968,067,277,703,626,981,716,187,
016,987,123,379,710,977,290,779,656,613,071,881,487,887,145,469,029,327,379,
536,733,109,050,699,307,455,440,666,549,619,018,301,950,118,572,988,789,939,
806,805,176,687,111,251,064,421,691,042,223,701,774,358,207,959,743,108,365,
721,763,208,651,651,231,159,310,285,672,007,884,199,868,696,417,472,731,893,
944,206,391,615,624,446,047,702,863,296,521,241,797,883,889,933,940,493,676,
649,885,715,695,743,015,193,684,775,306,056,714,847,473,027,463,002,399,790,
404,087,365,936,584,649,613,401,509,757,482,679,407,393,498,141,028,312,867,
376,633,960,550,765,645,449,948,180,883,002,723,872,471,548,474,387,319,305,
919,543,710,331,725,576,230,608,970,160,138,243,043,669,484,281,409,115,384,
182,082,120,889,072,502,540,761,085,798,077,168,523,144,309,533,552,780,930,
379,493,421,126,445,642,840,415,268,955,704,854,892,772,170,354,168,032,478,
217,495,768,034,613,917,268,152,300,623,920,187,896,054,204,126,330,794,611,
669,723,966,296,720,604,598,454,037,822,780,494,654,849,692,394,284,802,038,
745,391,262,091,650,457,494,979,630,067,122,905,818,485,160,125,732,748,695,
649,478,069,634,880,208,253,108,265,011,890,887,499,822,158,005,332,358,669,
133,414,071,376,356,536,201,910,566,999,993,422,991,686,360,653,464,779,938,
052,744,628,915,432,457,365,618,351,476,632,429,418,957,365,756,243,611,734,
566,931,642,720,983,034,238,552,045,235,385,611,886,236,225,348,941,669,559,
372,996,248,227,111,042,840,922,733,331,454,085,801,431,713,500,681,512,507,
841,367,711,284,978,585,243,536,032,386,813,034,911,511,904,637,768,739,890,
636,637,993,749,103,510,445,665,200,627,979,451,566,100,226,274,462,809,728,
959,606,259,735,637,803,909,247,017,704,239,116,763,938,980,657,633,147,693,
023,638,641,138,386,685,329,234,433,977,025,540,212,888,513,651,533,537,407,
806,815,273,480,474,330,226,377,239,139,361,185,646,113,437,352,338,948,309,
088,576,342,964,357,594,669,960,695,875,443,655,363,407,879,345,142,490,710,
464,290,906,123,297,475,205,418,903,944,391,878,017,918,637,215,451,888,618,
692,444,383,719,737,783,575,119,146,234,342,171,733,502,214,742,114,825,815,
326,588,775,264,469,595,224,252,844,408,648,247,618,283,259,887,594,553,202,
830,720,703,654,777,714,784,778,522,453,799,531,385,130,895,621,362,250,063,
139,047,536,565,997,315,360,165,060,524,859,321,687,907,600,064,039,156,683,
381,907,754,958,700,191,851,238,724,186,923,573,783,281,090,119,681,824,726,
640,406,846,738,836,787,291,206,230,901,130,150,847,935,010,026,867,724,158,
305,702,751,098,989,088,835,325,404,271,479,045,787,992,479,842,314,234,075,
129,546,802,791,157,272,729,028,754,859,772,225,769,500,397,012,086,557,742,
389,918,419,597,820,040,749,931,703,485,292,973,971,188,360,876,931,829,409,
604,841,371,683,716,553,006,644,332,620,655,744,073,593,850,473,739,364,899,
021,089,924,195,030,142,539,672,915,652,697,237,850,379,506,624,084,767,957,
833,328,003,587,193,698,330,476,473,228,460,756,378,914,405,461,486,114,330,
778,837,645,149,229,262,496,668,500,957,534,547,483,695,342,551,101,789,932,
813,053,995,430,531,360,133,703,405,430,130,005,536,810,336,641,900,335,401,
233,503,730,802,679,374,828,938,778,516,504,606,589,628,458,346,196,560,541,
630,521,360,785,471,367,012,526,454,816,486,941,150,391,557,951,301,772,171,
867,746,238,197,464,706,346,513,692,806,598,909,783,668,990,705,620,429,793,
959,687,486,877,427,889,665,253,680,088,932,356,395,060,619,440,850,191,510,
543,927,458,720,302,154,184,434,046,585,490,629,831,977,881,261,035,351,274,
326,313,355,402,498,329,170,792,975,477,344,717,825,995,906,306,998,212,895,
137,737,348,718,899,029,938,691,885,069,030,849,276,036,196,324,287,677,258,
971,401,679,456,158,603,080,449,579,341,822,876,939,416,912,973,547,023,068,
352,744,002,140,374,173,074,197,303,562,133,264,280,273,905,359,719,472,233,
986,491,925,014,710,412,173,872,971,570,241,969,904,604,628,251,984,785,332,
103,946,213,028,712,960,290,364,415,673,912,362,789,695,227,438,757,931,682,
527,681,282,892,951,003,822,073,392,588,895,000,376,159,357,812,215,680,512,
725,845,119,934,907,820,464,167,998,228,627,377,068,367,622,277,376,954,189,
253,907,554,848,688,821,685,594,887,009,083,590,055,860,083,711,724,694,520,
730,353,342,461,492,950,559,727,853,222,967,318,154,937,081,255,518,966,374,
791,162,805,034,033,305,572,131,072,745,276,917,248,694,626,665,334,296,815,
231,218,881,744,628,756,896,936,932,811,682,722,309,163,417,350,887,198,517,
917,076,363,002,901,916,815,846,748,295,668,608,690,172,010,567,265,809,224,
357,998,606,163,479,374,027,635,403,131,869,542,814,040,297,238,740,188,093,
526,785,766,588,322,357,473,354,302,015,405,087,986,293,477,820,695,522,674,
663,411,528,606,357,502,848,939,746,872,863,558,100,663,041,796,828,930,686,
028,035,333,961,010,263,139,048,216,681,304,054,410,082,139,845,398,526,155,
854,648,204,769,131,307,126,099,043,665,053,567,828,227,245,007,152,686,898,
620,066,509,119,080,926,987,039,369,948,864,313,860,756,076,086,916,660,781,
585,275,154,677,913,536,485,836,074,812,132,897,889,618,806,922,297,954,506,
820,335,356,817,727,684,116,735,521,544,688,722,404,416,301,005,750,987,121,
302,408,571,881,356,082,691,036,852,034,313,595,167,701,160,502,095,242,660,
492,680,170,620,748,842,117,214,545,960,493,230,976,935,939,924,006,842,842,
107,429,762,395,516,307,788,513,830,905,423,511,325,401,852,692,638,911,899,
427,541,035,187,167,200,398,105,193,185,456,052,186,665,379,865,826,049,143,
024,484,511,403,294,608,549,167,552,648,340,287,531,722,953,417,026,428,027,
061,438,997,741,835,523,166,342,335,301,353,449,961,012,089,152,981,350,826,
057,900,449,950,047,838,692,633,104,012,446,771,858,036,397,096,093,407,901,
853,932,394,344,879,589,603,312,720,032,912,675,121,088,552,933,803,639,286,
903,371,691,398,374,440,522,943,878,024,967,410,079,717,562,363,811,635,261,
136,633,675,657,217,430,728,867,797,720,614,926,139,386,872,633,093,872,101,
171,265,485,395,552,852,636,845,854,414,446,866,444,295,098,680,055,720,234,
626,669,088,818,599,658,997,575,178,275,724,678,006,022,151,946,521,893,947,
182,865,871,367,951,900,240,142,317,327,574,952,971,001,448,759,423,441,475,
917,251,435,973,573,826,421,739,706,513,958,008,831,319,278,115,909,442,368,
268,874,438,890,730,097,196,564,236,726,770,966,388,271,293,566,605,630,053,
020,518,253,229,024,652,148,703,011,219,138,329,134,445,945,280,565,320,121,
962,284,296,973,964,217,943,373,232,062,643,310,280,650,276,430,018,384,504,
706,502,973,497,237,166,394,848,049,302,500,886,620,490,519,308,589,293,740,
282,422,963,360,339,202,011,292,793,726,688,104,729,554,627,035,553,018,840,
231,691,351,165,608,916,661,526,088,697,551,850,462,303,388,761,428,993,647,
617,090,200,389,094,558,831,892,978,375,861,777,334,654,888,644,439,240,237,
108,554,223,457,069,875,683,172,284,024,263,717,970,316,869,167,254,521,198,
794,895,266,711,075,299,184,924,281,408,952,654,063,238,601,026,376,513,213,
336,749,874,006,977,318,505,894,746,961,480,896,304,257,563,076,340,930,859,
250,092,602,909,116,002,900,490,484,332,541,017,040,249,122,342,293,574,129,
720,528,534,978,007,236,842,699,011,031,144,485,155,272,937,163,093,878,983,
525,428,153,927,429,982,369,356,460,347,235,362,345,394,754,181,800,852,330,
290,219,050,652,986,374,900,027,674,994,314,122,820,670,953,393,838,066,032,
611,770,468,961,035,004,539,244,926,925,059,918,273,508,778,347,635,603,336,
003,515,314,902,848,109,237,699,611,343,659,096,803,929,491,356,645,806,966,
878,148,354,336,701,810,055,263,007,381,520,985,568,550,001,314,490,209,086,
169,931,709,389,506,037,085,631,278,582,543,099,447,584,922,169,833,113,481,
117,030,675,452,132,734,105,555,725,467,134,919,104,005,923,785,315,739,947,
988,319,196,443,285,875,562,178,247,393,591,784,412,992,967,577,642,565,335,
380,819,992,631,131,956,667,789,793,997,839,266,621,260,631,350,487,766,574,
487,797,134,737,569,457,084,060,026,426,081,729,165,470,730,566,860,755,907,
670,192,025,360,050,670,229,503,629,710,277,350,752,088,991,725,341,781,119,
948,160,109,996,850,716,231,961,439,392,746,835,900,579,306,770,012,976,271,
368,256,942,718,477,790,852,395,940,555,085,414,985,382,902,903,932,296,987,
280,974,108,809,412,424,714,344,166,329,389,269,931,283,909,802,782,463,716,
392,718,653,738,702,888,639,704,934,890,740,087,716,893,442,516,542,297,045,
593,302,577,048,994,627,212,774,835,917,207,634,829,403,258,132,152,677,970,
875,710,949,955,965,084,708,790,026,920,209,415,222,125,681,129,893,558,315,
337,485,552,295,704,112,636,256,288,035,001,957,322,293,391,271,364,534,821,
111,352,748,336,869,230,734,475,203,449,301,906,564,798,233,792,131,463,092,
950,419,491,958,131,415,298,497,364,965,650,696,595,230,310,856,229,709,979,
899,607,129,483,760,248,513,406,932,738,820,296,113,108,067,153,628,949,007,
427,696,968,380,990,820,421,902,509,975,979,685,084,511,212,687,197,157,025,
816,843,335,390,179,457,815,951,136,284,420,358,748,961,623,875,839,118,808,
559,707,541,969,104,788,930,671,105,345,178,037,886,604,740,894,172,248,961,
996,324,662,227,040,283,732,274,858,513,443,802,226,984,640,668,654,739,005,
704,582,856,920,571,069,675,505,208,885,869,006,859,627,759,536,985,787,717,
732,409,024,340,884,780,195,783,438,850,066,521,989,878,512,045,362,484,688,
208,861,165,762,358,486,867,658,654,305,992,330,016,832,484,316,305,105,953,
281,482,100,705,895,818,963,572,430,130,152,376,070,224,857,226,281,126,040,
078,143,506,575,359,104,609,803,313,233,989,934,976,457,976,951,050,601,388,
364,106,498,742,582,624,285,989,052,533,704,000,356,995,565,066,801,708,928,
705,562,717,631,368,032,781,398,081,768,483,285,100,110,318,750,324,242,850,
128,959,720,803,269,104,679,736,147,506,170,440,903,094,214,105,848,660,063,
453,558,008,200,798,692,631,847,217,284,542,470,998,773,353,254,048,285,805,
236,365,181,916,361,525,405,303,224,660,003,344,711,809,664,769,982,732,502,
416,832,424,631,257,914,519,819,418,325,403,294,693,084,119,955,711,157,624,
747,663,442,400,570,237,046,291,520,341,457,036,710,135,925,320,518,853,639,
783,407,727,174,637,169,863,413,675,971,978,064,944,227,945,766,419,148,460,
632,674,709,556,554,370,981,991,865,288,288,831,843,434,346,563,277,101,109,
848,226,538,227,142,626,824,051,264,181,310,548,627,436,172,810,361,077,163,
799,854,846,776,151,233,096,101,494,132,208,256,784,223,745,171,008,970,196,
163,258,697,324,341,304,933,219,941,056,788,937,372,216,669,880,447,232,782,
906,452,558,647,304,511,381,644,874,546,615,229,560,204,560,588,962,036,861,
907,353,922,604,222,361,001,254,640,416,276,213,903,911,962,437,100,138,123,
439,573,107,520,388,782,337,383,324,267,714,255,638,700,854,174,448,169,550,
560,683,720,478,081,827,549,380,686,929,750,914,569,616,123,108,678,000,317,
357,704,114,462,977,991,225,286,606,621,090,784,976,708,798,432,739,900,106,
434,941,278,353,047,091,546,996,954,226,512,920,706,202,135,290,102,095,765,
652,899,221,577,004,160,129,208,449,081,111,463,972,606,813,616,609,536,900,
063,805,522,456,498,100,374,814,280,114,527,253,533,690,062,418,874,281,219,
703,647,997,411,514,126,420,932,487,300,083,702,133,468,702,145,752,386,246,
764,230,255,275,747,680,352,859,343,016,045,375,917,643,057,037,050,217,971,
282,706,478,371,885,475,133,101,200,326,844,092,580,137,561,785,867,697,902,
595,547,368,590,788,089,725,035,069,076,424,744,628,461,157,789,445,596,752,
665,611,198,683,366,583,574,797,439,427,287,543,971,300,418,222,099,969,894,
973,330,361,192,305,549,744,782,040,946,257,559,950,650,302,544,091,060,627,
955,924,533,635,868,165,465,583,230,486,617,922,409,470,379,646,808,017,842,
017,356,638,705,862,866,515,994,717,766,784,577,326,628,666,137,052,138,964,
633,573,275,914,624,378,032,830,016,175,836,520,643,658,566,509,506,070,346,
153,178,554,033,000,760,226,283,059,141,822,652,621,301,262,771,170,602,426,
495,181,970,726,690,502,118,994,061,579,275,051,745,278,906,434,919,515,760,
761,261,752,458,745,638,203,221,899,882,134,673,256,933,014,868,129,986,764,
667,761,747,706,846,542,541,395,923,061,855,496,304,203,109,831,930,019,285,
970,798,276,158,571,231,069,187,976,682,221,464,362,207,462,493,756,174,061,
063,941,223,915,531,892,728,707,402,234,515,121,069,385,669,274,228,497,718,
577,617,820,600,429,083,538,238,764,650,523,271,618,758,090,293,861,738,951,
129,258,582,279,692,179,848,627,718,804,650,274,442,919,251,845,543,730,736,
531,759,295,107,944,957,558,031,689,076,814,340,463,805,511,153,378,356,231,
115,657,399,794,685,728,548,122,179,704,387,475,678,753,156,940,565,854,467,
159,201,238,148,982,760,999,285,267,933,512,181,170,590,025,560,365,824,607,
348,738,373,375,286,853,870,238,688,397,798,398,611,404,309,105,967,756,635,
289,381,826,863,681,442,311,997,666,247,846,197,938,081,902,455,941,786,223,
591,056,313,826,124,542,738,714,770,188,679,587,580,509,252,477,380,928,504,
217,883,169,205,822,538,478,552,572,840,917,581,600,836,752,074,217,512,230,
973,364,126,121,635,358,574,709,783,068,349,314,427,708,082,710,546,582,967,
596,925,955,245,335,550,647,242,839,042,816,048,166,211,865,042,633,005,775,
490,810,216,946,425,898,804,487,066,763,428,238,602,782,341,755,962,512,807,
120,699,381,792,161,284,918,247,550,816,761,764,856,841,717,875,203,381,818,
817,315,056,148,943,294,650,873,109,522,131,938,965,358,210,455,531,448,105,
088,135,513,512,662,358,411,913,349,596,915,761,265,108,529,056,129,355,743,
487,916,605,536,080,433,637,857,288,974,486,298,211,644,802,508,450,847,493,
572,841,247,246,762,117,525,540,827,338,176,888,522,453,472,997,445,480,148,
715,286,639,353,102,945,580,799,507,073,048,101,329,306,472,668,717,272,632,
345,147,756,721,448,164,935,960,391,111,097,893,846,842,664,305,783,770,481,
426,327,799,416,915,413,236,406,904,545,822,760,274,392,410,327,306,790,878,
969,388,460,748,283,916,130,338,869,637,182,535,270,622,126,779,253,269,006,
370,887,359,771,802,613,039,011,718,603,304,678,775,602,948,940,387,854,385,
169,583,346,846,190,498,014,610,604,807,683,181,049,570,183,492,566,674,918,
449,243,853,234,206,571,025,984,556,340,226,849,475,033,069,706,804,037,960,
436,797,012,702,413,837,374,234,728,771,894,142,482,257,401,377,941,832,160,
739,911,800,386,200,443,234,706,720,824,170,905,829,332,858,419,264,633,824,
490,854,420,058,398,537,587,555,145,115,958,559,689,255,356,762,546,943,855,
101,896,320,636,683,401,956,885,109,834,755,364,109,977,536,357,880,642,073,
205,352,046,370,076,585,523,976,852,546,834,999,035,194,750,839,946,461,662,
890,048,117,005,410,905,213,156,319,103,104,169,012,478,883,162,120,322,082,
402,195,183,371,249,811,958,765,217,061,131,275,391,567,907,495,620,135,217,
261,369,597,934,327,781,518,266,145,966,388,861,205,343,834,363,499,572,094,
596,072,254,559,816,023,827,005,829,125,972,786,406,506,655,462,270,381,023,
932,337,055,664,232,696,928,188,466,688,752,341,000,178,767,420,284,799,071,
516,536,159,682,233,983,736,701,316,283,142,173,824,786,213,534,415,062,667,
695,652,142,832,794,264,023,762,402,208,479,954,278,354,228,093,188,352,906,
072,005,707,767,033,521,714,269,065,208,833,564,989,359,114,198,246,878,676,
509,666,824,382,849,861,306,619,263,923,023,991,044,246,646,987,164,457,023,
968,317,960,670,257,700,903,390,193,121,973,311,648,880,577,973,625,571,877,
037,221,167,976,557,943,453,240,838,059,009,558,127,904,018,975,858,720,436,
112,307,994,140,201,345,333,349,459,156,442,690,117,117,842,229,251,154,814,
724,571,169,231,654,080,734,601,011,356,293,696,033,666,092,893,148,203,341,
445,423,413,603,091,735,354,887,913,490,761,027,872,780,800,749,824,767,595,
350,382,704,365,233,325,078,856,222,954,062,292,102,484,479,653,896,914,216,
730,580,141,205,747,066,335,736,873,546,058,891,345,898,680,960,587,380,122,
928,576,712,797,691,944,588,292,179,730,339,139,517,482,811,873,792,781,252,
646,290,430,459,322,279,745,482,050,686,505,431,881,678,646,256,298,908,918,
380,734,422,507,779,377,742,618,374,049,084,883,327,418,227,131,182,207,132,
558,696,120,944,822,697,063,207,332,004,740,202,428,345,941,224,133,785,856,
726,214,727,667,556,518,448,777,118,649,077,329,890,734,792,416,041,803,613,
157,644,720,549,467,501,433,858,581,932,939,958,178,476,009,461,874,712,288,
316,548,828,818,293,690,913,240,461,854,873,155,169,138,452,357,511,857,874,
732,427,709,433,574,199,845,890,506,188,458,791,899,946,314,291,728,164,893,
259,313,820,526,235,745,170,049,305,532,298,363,352,805,748,720,260,287,048,
746,608,865,539,977,780,436,659,201,638,957,062,559,241,385,383,903,451,828,
419,993,025,849,740,103,878,307,825,057,530,867,716,457,626,617,870,266,006,
684,811,315,932,868,547,100,335,774,668,941,994,238,544,508,554,022,036,628,
128,596,885,124,166,706,812,956,554,530,687,797,839,463,785,430,378,790,379,
103,665,710,743,979,850,015,041,944,512,866,621,540,756,769,331,470,209,283,
924,022,222,497,035,049,852,190,131,945,584,407,440,602,161,451,626,608,600,
142,754,154,175,836,446,880,018,146,014,838,100,633,484,653,686,603,301,805,
941,415,677,706,934,421,416,711,550,270,704,818,454,676,731,604,110,397,765,
967,656,922,076,144,208,272,938,500,399,562,520,865,694,689,344,824,168,504,
164,596,228,487,412,712,450,006,034,758,326,995,371,989,012,312,343,110,757,
310,794,345,067,718,774,282,301,629,332,881,616,733,722,998,819,064,746,941,
399,671,771,812,143,099,075,545,309,107,059,882,371,024,277,907,179,121,464,
176,045,770,096,524,040,485,989,135,160,020,131,147,624,633,868,434,931,313,
750,346,682,276,779,440,321,583,784,112,252,001,689,791,873,724,823,299,553,
269,724,967,215,526,247,911,531,800,915,613,258,148,679,939,636,141,928,362,
996,466,360,383,985,204,094,329,522,609,416,423,101,819,327,931,679,213,636,
046,097,998,230,058,014,696,827,692,828,435,302,940,777,485,388,120,389,136,
576,093,040,948,450,103,811,965,640,447,825,090,816,629,311,740,584,351,629,
294,401,884,542,550,117,628,268,400,096,965,047,074,237,040,214,124,408,969,
129,567,609,236,167,526,101,847,139,935,416,547,684,081,906,836,059,928,411,
987,437,580,529,669,502,211,151,161,043,581,582,753,480,435,022,800,237,933,
395,232,084,779,265,068,648,079,523,968,063,902,976,593,484,351,125,117,147,
018,358,163,831,958,714,770,200,456,633,768,609,825,744,562,591,383,681,812,
902,295,032,863,748,766,726,139,181,707,004,845,948,190,919,629,511,845,564,
179,412,990,058,953,272,059,136,514,593,411,594,326,298,898,667,038,132,777,
141,099,334,284,877,451,381,139,511,254,775,893,659,671,389,064,035,754,469,
225,706,767,410,780,379,885,104,471,176,007,767,397,628,321,919,258,605,046,
427,759,708,322,522,811,030,561,555,210,650,646,960,862,678,118,119,244,260,
030,229,930,595,034,785,574,976,738,371,604,726,831,784,035,302,122,143,442,
676,823,819,497,602,310,097,026,680,915,863,808,027,451,723,558,993,192,699,
376,391,993,067,478,092,297,608,392,952,559,654,491,732,159,667,494,887,932,
363,046,723,869,402,852,955,656,976,324,703,783,176,595,074,782,586,165,945,
680,492,756,736,257,809,189,589,482,311,981,356,330,383,084,245,889,473,200,
893,592,086,475,402,103,536,109,501,013,647,949,545,170,825,217,548,881,095,
486,192,832,474,192,820,900,965,778,114,416,348,179,773,533,391,172,864,055,
918,665,861,900,686,231,818,105,313,602,704,519,022,344,275,049,737,753,580,
932,330,018,783,428,186,253,113,171,410,191,268,718,215,755,558,906,378,451,
630,609,904,471,104,659,663,245,710,255,630,559,322,809,895,218,980,150,260,
926,463,904,354,159,720,346,255,935,071,880,375,860,046,186,476,876,975,986,
754,377,102,352,495,705,139,053,843,123,712,360,328,394,610,819,635,048,501,
522,102,081,367,201,941,194,242,707,844,471,206,567,089,599,081,727,428,601,
283,511,785,809,365,328,785,743,723,816,733,263,510,766,027,160,090,340,276,
796,316,245,212,089,924,912,675,495,181,081,428,205,330,778,836,163,891,055,
030,403,514,747,651,846,654,004,287,896,023,287,403,344,282,927,680,119,611,
537,100,818,026,419,830,575,819,050,999,785,378,614,892,605,244,564,102,467,
663,666,021,979,822,765,647,566,867,715,243,935,988,702,026,312,202,623,200,
763,419,249,380,113,853,088,592,611,636,098,394,529,798,416,948,500,174,940,
877,277,084,352,411,166,155,141,181,393,947,680,827,091,247,910,938,868,858,
639,007,235,139,625,930,592,789,179,618,315,780,284,567,423,888,537,125,865,
362,083,278,340,391,829,652,811,670,786,134,780,752,080,661,601,011,580,784,
628,170,526,174,344,864,391,494,673,982,068,652,909,392,222,559,128,225,119,
159,217,422,213,218,079,724,490,786,403,127,450,101,368,295,834,119,629,666,
506,787,211,157,577,896,416,398,441,366,630,827,825,050,642,424,427,427,937,
462,954,081,728,590,959,244,729,790,517,155,029,407,692,740,530,782,789,300,
807,809,711,309,860,072,865,177,840,778,238,301,305,816,883,272,601,727,071,
535,125,537,216,386,628,408,387,541,881,623,653,314,401,942,468,165,204,231,
903,151,721,884,643,409,056,660,348,459,906,243,453,749,790,061,337,033,024,
109,593,170,228,293,578,158,297,350,489,729,919,300,451,027,496,075,649,254,
933,882,955,290,581,249,119,854,661,515,443,989,122,557,586,009,371,756,720,
879,242,827,400,741,869,532,400,393,009,037,634,023,022,285,085,225,933,038,
416,416,546,823,620,829,318,388,945,650,767,975,560,645,080,193,984,557,039,
485,041,644,113,291,993,306,455,025,784,234,236,437,945,914,895,458,712,358,
871,737,044,524,519,768,884,136,951,177,823,483,706,256,278,180,297,290,251,
229,841,010,719,783,757,612,604,704,707,419,081,639,113,737,203,180,390,543,
725,465,515,404,892,796,064,686,442,703,019,698,708,595,218,302,512,771,092,
791,854,467,519,862,695,652,057,517,773,325,592,265,723,838,980,335,936,368,
162,320,481,802,445,976,466,796,529,317,325,474,695,740,140,736,208,867,437,
980,612,992,640,073,640,270,964,949,567,727,800,334,483,577,839,976,738,618,
411,214,723,245,875,069,045,426,139,160,877,073,728,113,129,809,694,536,730,
189,916,619,649,991,002,831,163,006,795,434,106,835,377,978,856,979,418,798,
551,123,468,166,679,985,458,408,160,037,092,821,566,382,559,789,809,432,822,
484,029,364,686,068,195,042,586,637,814,410,814,937,031,643,636,849,214,131,
637,570,983,709,727,693,527,246,608,475,708,941,716,556,791,861,167,441,249,
546,127,586,311,852,618,852,511,785,104,311,229,277,609,602,095,180,643,328,
625,747,899,515,693,341,407,138,590,888,016,242,009,569,330,252,945,729,297,
554,205,374,280,128,927,959,562,598,589,927,005,787,613,667,784,975,356,565,
134,159,601,624,537,979,834,422,830,685,410,838,897,465,064,616,656,079,412,
342,561,164,307,180,716,412,690,994,198,089,029,057,335,281,952,854,751,804,
376,524,813,053,974,820,042,235,704,717,834,781,430,074,883,939,061,354,960,
580,309,553,499,541,085,055,154,957,082,899,525,643,615,880,906,846,706,437,
436,107,372,237,209,448,545,057,838,903,706,054,789,557,334,508,332,923,783,
792,208,691,211,848,379,888,553,723,175,193,121,704,757,769,154,218,978,778,
625,806,619,192,987,906,887,590,807,246,615,073,417,255,970,657,012,984,379,
777,163,890,778,847,527,138,495,215,342,891,173,070,338,535,936,569,975,901,
844,540,380,456,104,308,025,609,831,584,537,344,112,732,169,336,122,552,754,
916,202,425,439,193,931,830,596,927,221,645,745,195,868,349,730,751,201,798,
633,509,774,488,837,290,478,859,418,348,901,935,035,043,589,237,997,560,206,
434,183,812,974,759,979,168,680,283,175,484,375,450,923,946,953,905,415,039,
244,399,039,971,962,660,226,951,347,054,683,428,271,403,785,965,129,565,538,
243,133,914,120,210,894,178,924,385,504,817,760,051,794,465,393,191,768,959,
900,538,409,751,971,566,132,158,974,248,981,601,686,405,849,474,749,786,994,
291,064,414,767,744,544,635,006,438,330,575,464,799,274,815,399,473,768,135,
169,253,344,042,409,481,853,730,935,882,765,037,571,740,059,751,287,907,126,
953,286,478,359,092,440,223,889,229,189,099,342,724,414,180,588,656,077,524,
185,107,421,955,904,918,082,106,982,559,503,471,938,987,309,024,622,867,276,
892,650,266,977,687,823,502,274,030,818,872,744,169,196,115,919,781,161,129,
638,055,739,549,227,089,926,636,454,636,461,387,393,344,467,314,102,243,684,
728,230,181,685,370,279,997,436,985,170,160,845,265,590,366,855,099,073,028,
993,180,122,444,121,226,012,207,129,428,659,757,415,293,115,436,321,042,835,
349,669,452,561,850,303,137,756,439,447,411,509,646,379,677,254,637,602,877,
769,731,496,639,593,428,256,475,979,076,245,555,239,842,201,995,999,231,846,
184,076,613,227,011,400,198,558,325,434,494,463,540,421,409,080,578,433,951,
581,288,856,038,968,202,666,696,889,577,259,809,771,918,389,320,154,481,735,
751,353,777,419,957,121,422,818,779,769,710,417,133,875,824,266,595,755,914,
669,051,157,791,812,176,642,068,405,386,023,287,470,903,841,005,746,413,077,
110,080,796,682,509,925,013,457,935,956,255,682,991,037,969,086,867,168,267,
917,139,259,961,867,082,259,647,568,663,849,792,544,741,247,530,179,116,888,
075,456,680,963,317,676,663,605,896,890,942,057,669,547,888,191,798,088,331,
208,959,777,615,234,288,756,013,348,202,720,762,900,211,452,151,433,171,259,
182,342,030,484,299,081,793,453,009,628,327,313,447,866,795,156,762,172,500,
186,060,390,007,072,751,784,002,710,127,807,224,581,659,598,536,174,779,367,
810,081,478,170,994,152,381,533,350,960,866,952,333,410,292,917,128,324,565,
589,231,276,623,047,951,014,182,619,703,988,772,332,926,666,165,907,301,808,
270,084,306,933,298,015,908,276,434,286,834,221,732,739,269,268,783,545,927,
169,239,483,399,666,874,865,173,907,841,434,910,361,166,004,319,529,433,077,
093,119,691,886,835,772,489,366,695,299,449,910,150,901,210,681,370,724,493,
286,725,348,125,182,977,438,518,389,250,359,001,151,800,134,853,082,720,936,
790,203,731,299,093,353,436,795,192,644,859,585,704,071,743,291,045,229,692,
325,341,843,051,699,678,417,433,368,664,020,542,798,798,380,333,391,208,595,
853,778,249,710,126,578,421,723,262,370,291,729,455,362,126,921,345,889,213,
563,301,026,532,763,604,832,266,287,412,098,823,626,400,992,654,073,688,060,
786,419,182,302,178,926,627,420,991,090,596,522,610,729,729,611,917,337,868,
040,164,881,316,699,076,147,413,690,159,980,051,982,945,715,398,539,973,766,
456,208,159,204,587,007,223,570,516,303,325,247,168,641,642,285,108,320,345,
551,300,106,156,280,380,749,806,251,097,571,875,021,549,206,106,311,449,185,
017,581,789,817,621,092,251,349,149,631,031,281,735,312,251,033,331,168,256,
775,536,245,187,046,881,183,413,424,433,236,772,064,427,261,492,116,629,715,
173,260,945,084,463,436,618,955,613,748,499,914,754,922,810,250,454,980,479,
586,732,954,480,982,686,289,620,299,958,318,116,557,524,329,105,613,594,800,
677,746,111,937,333,747,764,218,731,317,647,172,022,716,639,535,568,899,128,
943,892,415,959,819,430,859,821,989,513,828,001,461,179,906,215,692,430,557,
312,655,444,763,755,170,077,289,703,526,662,916,476,509,416,195,097,019,154,
424,151,031,808,417,217,131,138,043,473,695,147,610,500,073,246,590,629,169,
753,818,940,230,376,472,153,447,131,397,209,339,001,938,267,656,906,959,519,
862,061,254,626,423,694,059,655,452,506,785,115,117,356,699,159,430,572,253,
824,549,035,690,531,702,751,714,048,469,390,730,822,518,456,763,627,506,461,
879,134,493,870,439,354,939,675,888,768,316,973,886,067,886,358,472,657,193,
520,747,018,140,376,225,778,557,062,969,133,515,787,127,106,047,680,657,022,
341,752,024,036,132,363,845,136,828,052,363,002,727,018,400,434,333,180,934,
105,429,361,878,218,035,779,979,397,124,899,644,673,079,855,857,938,204,776,
843,125,842,124,001,799,759,398,302,474,930,307,656,064,400,607,400,494,634,
785,327,937,243,123,931,902,547,088,683,156,200,612,272,374,301,219,146,453,
410,369,348,132,246,968,684,460,034,435,612,008,737,801,607,390,071,845,760,
844,635,320,977,522,425,346,724,299,323,092,012,384,501,566,405,955,209,022,
495,968,729,264,938,685,176,629,614,843,876,319,726,109,680,129,625,099,265,
445,444,525,335,605,481,060,351,113,468,604,428,504,786,965,014,033,794,660,
619,212,679,504,111,749,633,693,663,856,902,754,004,781,764,254,473,760,195,
929,599,451,035,081,176,919,384,196,159,789,661,341,092,404,510,567,029,463,
928,302,056,346,134,915,257,475,020,285,385,280,033,125,062,670,153,512,298,
088,488,929,079,388,298,723,946,284,887,731,112,219,448,898,449,983,222,799,
520,992,352,790,983,708,889,203,952,330,194,489,856,417,596,787,585,394,398,
679,584,599,369,174,741,712,602,127,366,047,657,169,638,265,665,754,844,910,
096,513,810,273,871,964,596,675,844,192,459,288,446,051,813,889,980,722,612,
193,425,327,397,785,288,408,167,915,676,482,626,241,780,832,945,702,586,735,
018,919,403,728,336,128,577,525,993,408,759,237,518,209,421,680,587,178,311,
497,187,532,303,529,354,989,279,280,464,285,876,530,566,811,472,904,384,025,
960,886,768,214,787,140,047,544,250,676,589,270,883,303,442,057,352,246,033,
676,968,460,134,380,844,549,534,717,269,431,661,499,645,807,925,072,481,989,
889,336,107,186,069,577,378,001,909,308,436,807,603,432,950,084,404,369,355,
819,602,409,407,405,808,155,550,011,280,415,073,153,948,804,080,762,358,013,
561,012,978,373,917,489,227,289,487,162,534,712,542,533,258,409,291,554,811,
227,122,804,303,010,808,569,274,492,655,777,745,416,723,237,150,221,120,886,
348,640,960,671,767,522,837,496,932,713,500,323,014,346,823,598,693,724,529,
100,690,601,105,998,828,060,110,414,413,512,156,211,098,020,612,650,758,884,
926,532,650,402,358,409,182,825,500,202,648,537,417,485,013,030,404,096,229,
830,679,967,247,492,982,089,775,343,155,961,811,786,924,708,271,547,504,834,
844,720,184,170,950,680,197,382,880,086,815,850,015,240,135,744,930,951,649,
875,285,412,177,213,701,353,213,266,518,413,874,671,479,301,511,371,190,860,
265,915,980,611,608,378,651,809,894,452,113,501,525,306,495,685,156,781,770,
388,072,183,471,832,855,476,712,113,092,618,559,053,691,147,753,700,262,569,
424,802,581,615,818,727,907,504,464,752,222,719,807,308,912,935,910,179,822,
225,810,257,663,166,507,595,445,350,211,311,593,749,139,894,527,951,764,895,
484,572,062,178,377,170,895,770,178,015,385,773,361,171,314,927,645,953,704,
523,506,784,545,449,278,760,795,354,435,084,104,772,752,539,919,190,430,371,
953,065,030,931,840,264,437,601,310,390,195,882,496,430,510,055,303,816,903,
558,636,360,844,309,353,069,230,131,891,112,368,085,313,200,674,379,579,326,
329,346,759,244,124,903,629,513,381,727,159,868,685,988,839,519,758,380,710,
650,559,090,516,968,978,638,533,639,718,191,057,005,508,909,908,134,156,795,
022,797,992,485,932,261,979,076,850,422,330,985,360,829,430,548,958,606,270,
183,411,775,140,645,741,224,963,344,237,526,203,563,504,095,083,997,060,849,
338,260,347,867,724,070,996,517,297,239,391,822,311,492,658,346,601,894,274,
140,504,158,671,302,534,446,701,110,360,751,160,519,880,746,668,266,239,087,
149,248,512,073,260,397,679,031,751,834,155,091,138,317,097,765,518,690,166,
013,620,257,930,428,128,097,882,377,107,643,314,785,455,506,981,751,962,751,
492,754,129,864,131,164,106,009,139,184,524,662,120,934,728,257,435,307,843,
880,531,805,371,683,774,572,738,297,805,433,836,451,137,904,391,028,815,482,
624,758,496,536,652,675,723,886,802,970,059,392,514,191,214,208,302,260,049,
293,129,644,121,849,076,187,604,787,982,145,297,417,903,178,399,158,141,315,
851,187,709,548,426,953,420,760,224,539,649,643,853,236,997,918,557,204,226,
296,334,580,309,339,225,001,230,637,411,265,118,544,654,541,453,524,378,344,
885,183,818,226,206,225,336,325,808,523,796,423,445,236,834,957,151,990,664,
940,373,055,890,381,270,568,602,292,403,070,743,230,427,515,957,500,281,451,
564,009,398,668,740,565,777,753,445,880,796,344,232,749,637,514,459,659,815,
689,868,100,078,226,677,475,691,664,892,874,383,253,589,129,779,045,540,649,
387,667,522,610,407,587,476,692,179,692,862,254,599,925,396,265,118,063,477,
482,790,300,951,967,357,248,592,815,409,547,792,029,087,490,584,840,828,108,
265,980,124,248,296,013,755,283,757,990,548,152,611,924,792,915,480,825,850,
788,998,330,056,454,847,059,588,368,499,656,471,867,753,634,725,193,368,372,
280,480,767,471,115,114,447,028,060,794,074,634,239,249,584,476,310,728,927,
657,004,866,762,067,496,966,815,535,997,175,173,318,763,086,168,079,297,053,
058,674,856,800,202,467,709,937,161,352,292,612,484,783,322,376,932,738,266,
596,798,037,865,419,490,054,217,689,336,445,497,743,521,117,586,658,198,793,
517,532,236,266,554,616,737,304,464,836,216,074,428,592,280,530,300,696,383,
367,597,230,255,292,251,588,260,606,213,626,928,870,061,240,589,670,383,296,
412,051,871,175,434,057,275,809,923,468,546,080,457,140,485,835,064,261,666,
826,503,119,736,983,915,059,350,635,233,970,789,477,112,516,395,644,009,801,
468,224,412,507,446,699,484,541,163,899,483,460,090,365,917,616,177,115,297,
348,342,325,872,443,179,875,722,496,242,581,411,978,276,893,996,364,103,415,
253,829,387,266,105,171,385,187,649,445,934,026,521,306,727,429,920,054,025,
468,942,820,927,692,057,933,100,608,101,239,078,493,245,651,634,616,405,482,
048,642,457,485,277,338,844,808,670,371,157,132,985,527,548,785,537,267,411,
612,674,460,738,456,596,990,057,718,765,440,396,442,525,960,879,742,646,264,
362,775,423,093,504,500,210,951,667,423,783,596,536,434,789,320,729,809,117,
702,585,888,434,188,976,609,884,956,614,253,364,768,135,886,622,487,265,490,
667,077,803,579,750,127,842,104,790,467,650,375,547,307,638,379,242,002,772,
518,757,755,063,303,528,264,210,262,405,788,800,943,737,590,627,120,260,716,
862,660,902,323,999,569,487,111,383,612,534,958,284,455,156,441,151,829,637,
794,308,136,822,633,675,434,009,827,245,944,367,843,177,226,644,021,969,968,
337,121,069,861,588,255,705,772,618,961,346,264,780,724,008,499,166,970,864,
645,399,920,536,881,344,399,084,232,501,672,105,477,200,729,384,535,673,435,
915,710,051,727,545,559,344,217,976,828,741,397,728,320,198,595,046,033,236,
045,478,209,425,842,829,058,800,468,160,729,038,567,887,717,961,656,227,095,
871,206,606,083,898,387,077,826,505,603,680,996,953,980,757,509,472,001,692,
236,829,489,052,590,156,180,907,349,852,078,200,386,706,143,096,823,867,858,
233,689,640,560,609,958,951,874,262,278,362,649,265,170,146,417,940,021,412,
158,062,196,631,643,242,269,383,518,808,728,184,604,299,615,195,187,769,260,
717,371,312,953,565,418,498,383,825,460,144,723,974,750,070,752,993,206,857,
446,679,724,743,602,616,662,029,548,087,440,612,151,190,383,123,379,150,711,
378,051,699,994,668,586,951,924,029,505,740,235,902,355,768,262,748,551,142,
354,494,413,043,994,792,985,783,922,962,546,781,268,908,567,698,293,743,240,
977,271,666,616,977,204,035,320,926,484,154,409,926,534,742,325,299,064,472,
652,657,540,594,722,043,822,642,769,082,740,654,336,041,510,776,928,088,197,
212,716,742,270,250,641,099,955,024,900,499,024,991,773,298,431,507,634,387,
813,315,901,418,096,535,615,048,596,856,616,225,293,766,912,538,701,091,202,
192,918,504,051,674,322,450,535,601,831,647,402,872,665,193,571,393,686,127,
651,446,346,537,482,597,449,825,954,773,635,558,349,061,304,354,934,886,128,
288,331,749,104,714,565,162,371,031,692,785,577,442,229,440,675,362,934,381,
947,533,276,556,796,183,013,808,067,706,770,834,913,108,571,179,105,563,982,
485,541,886,893,605,966,826,979,206,818,058,975,194,879,330,525,221,422,509,
980,250,580,004,598,664,285,227,522,987,076,027,027,047,468,015,871,334,503,
867,917,367,881,070,473,942,492,808,511,500,267,362,336,937,435,041,241,351,
450,388,339,684,547,138,832,182,656,349,615,151,344,122,655,660,335,716,855,
718,614,962,203,884,805,719,771,248,831,846,739,567,060,984,194,798,784,547,
833,128,227,015,197,382,427,383,884,757,775,048,053,583,778,179,603,790,448,
180,010,295,082,863,366,665,646,937,538,008,736,140,311,253,067,791,222,220,
423,849,625,822,091,547,055,827,307,509,439,861,999,653,219,421,490,772,341,
556,636,079,966,924,695,331,390,561,503,599,613,101,598,418,724,468,475,428,
617,566,308,782,032,284,311,630,392,216,385,926,076,929,474,196,666,887,401,
095,547,567,690,407,509,974,590,907,621,773,490,763,686,011,898,308,503,936,
800,818,419,414,438,309,568,403,855,206,567,986,343,360,063,064,671,979,442,
574,245,657,035,913,804,061,679,744,243,854,781,768,754,499,731,872,188,574,
255,921,833,905,357,443,875,479,425,817,895,148,555,780,335,153,638,115,464,
051,410,177,337,471,867,663,632,860,489,886,632,574,277,545,885,269,139,005,
339,013,427,469,079,216,048,197,033,466,669,597,505,428,288,322,894,811,433,
624,407,136,561,364,988,407,688,152,919,201,438,408,964,456,847,712,919,555,
895,557,432,518,585,715,124,928,781,005,003,611,160,066,644,042,241,236,257,
796,452,187,552,587,531,767,368,497,162,134,135,865,997,734,506,499,253,864,
386,102,709,295,506,247,232,932,389,300,065,829,997,520,251,647,119,258,240,
731,695,213,977,538,352,606,631,008,619,890,594,462,628,518,125,805,054,075,
746,024,065,122,077,355,712,424,192,411,348,669,202,307,074,919,787,356,399,
603,057,244,766,727,734,937,919,347,834,672,923,346,697,719,466,115,258,505,
857,163,072,606,038,661,561,806,854,904,107,763,117,756,033,568,308,795,369,
925,581,137,772,389,648,945,834,213,340,361,304,677,154,691,276,377,646,144,
614,024,745,061,959,799,200,267,013,017,101,259,550,854,502,342,607,447,820,
668,465,171,792,427,843,918,150,310,066,235,836,699,988,304,536,718,330,705,
546,365,189,269,071,895,065,491,824,533,926,020,084,316,914,958,164,669,850,
924,885,121,063,844,133,048,495,423,340,870,621,260,352,323,768,149,512,938,
889,332,831,789,879,736,066,024,018,382,905,562,897,991,521,969,990,102,101,
775,100,625,451,881,879,577,526,001,584,707,083,066,631,898,738,996,470,473,
702,950,173,318,128,620,778,903,482,179,812,823,980,225,063,960,690,112,251,
180,887,158,601,278,533,801,518,943,315,040,650,922,857,200,140,355,737,852,
896,309,509,500,922,807,160,678,071,586,019,605,926,338,248,964,134,517,770,
204,117,160,293,561,083,244,819,250,356,290,413,235,382,871,384,686,530,374,
779,037,104,331,619,551,734,166,578,511,077,873,711,413,878,192,914,838,949,
895,658,769,861,208,642,959,015,848,385,705,824,056,447,975,116,439,217,355,
051,307,477,752,776,308,143,795,455,351,036,385,021,556,083,449,419,130,346,
215,710,330,122,674,764,638,514,737,998,362,490,965,396,800,376,072,099,413,
865,281,014,688,388,738,855,994,921,166,553,667,007,878,972,044,435,385,975,
352,631,014,729,074,211,036,084,711,593,775,785,099,278,727,031,580,363,034,
082,167,652,385,831,133,599,003,468,883,526,334,646,178,006,527,868,768,209,
031,792,430,624,663,129,609,924,110,369,323,322,597,061,155,910,852,035,051,
491,010,605,339,368,110,725,384,137,723,878,075,621,921,379,165,147,521,708,
661,763,519,430,783,326,008,517,304,690,994,719,745,862,451,722,636,352,585,
567,408,359,029,646,810,509,756,422,071,296,165,975,029,509,049,215,927,178,
382,683,827,163,331,101,979,033,438,291,487,623,417,848,701,982,457,550,613,
148,170,285,308,931,373,199,652,448,249,452,095,548,841,331,970,562,949,937,
393,707,955,547,093,413,076,112,350,095,148,613,998,646,698,310,977,198,264,
024,622,055,751,328,049,133,261,387,419,847,114,961,590,728,770,429,189,295,
063,932,829,200,794,864,811,339,990,435,171,727,708,380,468,751,443,687,307,
204,399,554,150,492,040,316,023,479,168,671,006,420,634,943,421,161,218,624,
982,118,086,092,994,253,650,948,446,399,007,383,020,510,696,678,616,220,465,
428,595,024,056,955,253,297,845,453,074,018,408,781,585,376,773,470,121,742,
393,705,139,640,321,262,184,417,673,359,489,141,507,279,503,716,639,279,129,
380,576,470,197,595,328,750,975,188,444,718,147,558,472,798,122,466,740,954,
237,294,860,369,909,107,616,153,331,278,793,978,670,279,367,613,643,496,974,
258,669,809,938,720,640,112,926,502,901,598,881,725,717,564,602,088,968,937,
498,315,606,446,972,377,925,228,225,643,573,908,439,694,594,019,459,802,052,
512,937,545,584,100,490,742,034,765,403,432,358,103,386,890,735,341,587,892,
155,352,506,359,681,143,322,748,460,380,051,837,663,015,004,890,625,377,323,
453,699,479,788,583,811,571,551,185,561,102,781,472,255,795,112,770,199,162,
384,418,980,853,735,592,387,925,160,114,439,645,893,834,359,895,049,829,120,
063,933,170,616,016,955,953,872,590,044,351,278,613,402,862,454,676,173,592,
515,302,285,158,785,409,273,211,512,212,333,948,892,447,284,230,575,234,233,
347,089,120,742,611,462,090,225,726,631,881,523,601,000,848,131,788,469,963,
147,970,941,557,336,251,920,716,941,292,215,417,995,928,714,015,786,901,522,
847,160,734,440,028,888,510,747,170,890,087,957,827,806,852,445,167,236,805,
552,381,513,742,648,856,879,655,471,133,199,494,638,661,108,350,580,216,353,
519,834,050,286,525,331,509,939,920,441,933,995,879,960,794,881,305,301,725,
988,226,990,939,519,042,989,556,607,394,296,392,861,805,002,357,341,131,946,
013,442,433,900,239,040,083,163,398,368,684,770,488,630,588,321,040,182,876,
485,758,861,081,616,801,870,953,371,623,662,125,182,176,264,159,144,945,686,
108,971,508,205,788,316,861,014,863,688,748,253,938,628,730,462,253,127,949,
727,208,069,149,763,740,303,181,590,138,858,356,235,061,213,916,129,531,264,
113,301,595,006,213,334,245,727,686,079,080,312,094,581,640,912,913,393,245,
670,785,887,151,249,526,072,411,503,021,695,036,342,680,121,677,852,824,440,
505,699,688,907,567,907,168,830,723,253,319,975,804,384,165,374,070,927,345,
000,067,341,668,104,311,306,309,464,310,240,515,517,971,240,405,012,260,231,
892,682,538,032,449,095,096,151,014,374,260,817,736,900,527,131,728,878,074,
321,020,438,058,795,888,969,123,493,921,988,505,507,294,761,990,196,512,611,
948,160,928,314,687,782,037,523,662,117,136,438,956,536,123,264,333,832,100,
049,207,326,446,969,647,026,137,105,314,901,872,475,712,856,047,065,507,420,
450,426,759,637,763,892,007,670,535,390,918,360,048,754,452,756,768,510,409,
892,251,258,178,747,874,958,900,652,263,248,834,584,974,295,479,942,361,832,
567,507,507,601,342,176,915,628,562,939,777,248,837,061,522,721,072,889,592,
123,750,406,880,380,229,997,932,765,117,616,612,217,383,762,620,015,050,915,
606,723,397,569,826,737,373,287,699,144,522,386,200,800,211,715,216,539,571,
663,653,704,146,495,996,430,816,291,232,431,098,755,335,127,651,682,337,063,
656,604,587,206,617,990,772,042,294,783,831,686,921,560,897,285,856,849,868,
146,047,431,091,190,825,698,321,030,830,657,121,301,233,580,750,147,009,278,
449,211,960,079,484,856,675,524,999,832,038,452,708,518,598,837,280,954,730,
694,136,381,711,713,605,359,885,645,269,190,944,888,384,843,570,360,064,917,
962,877,683,538,528,395,725,357,122,457,390,968,388,005,765,488,914,809,892,
726,176,597,665,604,969,435,816,760,672,865,894,598,832,414,027,798,122,406,
777,985,443,926,273,664,609,338,333,651,758,583,220,557,425,017,289,765,387,
968,019,347,819,299,701,264,404,571,368,294,625,804,971,272,222,676,199,032,
416,198,126,263,563,441,784,846,520,036,726,280,750,383,088,529,582,772,242,
704,759,151,280,698,062,486,458,399,601,148,726,873,103,882,068,829,089,816,
461,795,054,704,328,054,239,875,291,238,557,861,280,808,657,030,655,193,202,
365,716,994,603,762,405,558,710,383,837,664,177,217,170,002,821,745,627,253,
981,938,105,317,733,040,487,881,375,805,634,062,519,323,827,946,328,730,222,
866,800,398,613,540,560,710,089,765,893,969,727,000,823,134,987,350,515,174,
886,225,687,898,513,453,510,103,185,169,276,057,100,092,521,912,397,873,701,
868,795,786,165,578,573,969,348,728,125,721,045,339,230,929,007,129,884,602,
181,263,277,723,503,207,579,926,607,580,783,287,870,623,661,057,952,895,008,
690,414,965,089,057,166,685,383,766,512,886,647,727,112,361,714,716,140,905,
381,144,477,757,462,364,503,036,574,804,883,492,178,979,594,698,520,112,892,
432,026,417,126,545,315,508,827,894,064,412,867,883,073,881,763,474,968,563,
206,326,449,349,795,625,541,861,182,531,499,913,123,323,940,482,709,020,372,
243,601,545,455,883,143,551,529,382,758,189,040,904,562,187,934,572,274,027,
024,264,320,315,209,129,681,944,993,255,721,175,256,958,646,325,217,471,573,
102,289,697,472,458,214,104,443,368,329,797,877,473,242,424,489,655,166,587,
281,690,472,303,049,679,920,633,267,236,040,195,441,901,956,139,924,218,798,
499,082,436,449,781,190,531,743,801,850,383,786,614,558,365,269,520,184,390,
419,458,054,908,128,724,075,781,829,275,383,892,441,822,625,794,662,772,219,
638,693,593,014,884,571,706,905,655,369,830,738,839,363,063,491,879,790,064,
870,680,190,069,005,172,803,981,250,181,761,160,408,010,254,470,224,427,651,
115,905,273,965,731,192,519,216,878,217,357,427,621,943,129,549,162,294,273,
122,370,931,677,478,429,011,207,617,147,422,100,258,744,542,951,361,440,646,
551,064,645,032,999,734,068,935,347,432,812,140,091,519,406,046,091,240,171,
200,042,341,808,687,234,659,756,029,725,156,893,730,288,931,386,852,449,149,
019,934,219,807,156,024,678,591,341,345,951,852,738,931,823,444,535,391,101,
572,994,122,937,149,106,456,849,869,099,495,481,394,651,071,426,637,403,630,
566,692,055,244,426,177,841,481,110,649,880,326,211,822,552,995,867,852,935,
644,549,479,004,086,428,831,857,427,948,648,915,053,769,003,543,258,456,747,
692,502,669,591,532,946,819,460,230,743,373,480,891,579,493,442,730,708,550,
667,057,151,913,674,513,427,446,830,920,822,012,663,446,851,560,861,294,164,
508,527,571,557,073,566,562,796,266,591,742,949,724,950,193,855,336,764,342,
591,396,395,128,354,499,749,610,435,185,313,368,403,014,374,593,294,977,582,
546,067,846,448,235,336,406,224,858,588,618,985,319,787,906,008,830,012,117,
202,538,652,726,330,005,687,030,956,300,323,933,795,245,769,170,735,489,173,
277,483,583,355,666,446,702,000,285,358,199,925,479,858,429,131,552,661,250,
888,267,699,532,017,550,800,973,212,590,964,523,625,539,137,599,165,177,587,
518,346,892,258,919,485,446,303,164,683,119,742,018,603,412,216,045,401,119,
868,556,311,479,148,631,610,848,839,998,506,150,889,393,386,967,638,224,656,
777,477,508,631,348,310,221,627,714,030,824,640,013,997,996,785,219,949,458,
832,268,658,467,355,983,881,371,310,752,520,055,465,471,939,970,230,272,543,
811,597,288,948,012,384,671,076,536,649,613,447,786,865,518,389,992,861,099,
694,946,689,681,013,790,354,139,098,398,299,584,635,899,858,550,553,385,782,
215,145,842,775,140,566,680,211,575,184,393,072,955,331,184,279,788,945,519,
852,834,494,489,707,220,569,790,297,273,877,640,705,404,120,938,762,523,321,
300,381,072,542,359,465,101,199,302,473,504,462,521,334,205,889,892,847,571,
892,632,590,377,035,097,530,035,950,017,904,162,611,964,000,182,777,385,483,
206,744,481,985,894,670,491,584,985,773,301,829,644,726,028,623,264,872,556,
797,099,904,547,212,128,814,136,938,292,686,683,105,689,090,741,529,226,713,
024,565,970,671,011,750,268,886,738,736,921,217,690,621,933,134,853,143,485,
696,351,782,338,656,490,382,967,146,667,598,858,720,935,567,945,862,346,218,
380,051,324,982,433,227,056,860,881,986,892,028,253,629,063,544,472,643,497,
411,833,453,884,851,393,001,958,660,789,926,470,165,942,633,467,338,326,822,
591,399,578,246,885,064,383,810,823,944,361,181,036,568,120,496,060,866,919,
589,411,089,541,203,303,738,259,419,041,352,576,784,566,864,810,386,690,664,
396,725,266,114,435,886,360,141,714,038,193,271,498,109,429,048,911,913,867,
870,960,590,108,339,718,509,737,179,356,471,086,693,135,704,221,501,321,534,
673,486,371,563,528,913,058,341,548,981,067,064,365,105,493,067,987,065,126,
648,332,563,876,072,782,620,590,213,199,833,914,420,526,811,993,787,879,264,
041,431,886,154,242,485,655,765,609,505,001,043,475,305,934,023,925,331,035,
408,990,913,745,921,461,484,568,579,641,072,483,474,722,930,491,909,805,557,
888,378,579,678,906,450,457,012,736,116,816,246,252,975,267,602,519,034,993,
187,035,930,985,521,410,956,494,088,633,809,626,551,857,090,366,660,540,171,
315,293,502,509,660,754,151,681,012,515,425,754,184,273,517,996,514,686,842,
836,989,538,705,575,200,705,928,506,789,646,327,186,514,525,373,271,138,164,
488,634,659,818,798,214,921,248,101,204,756,005,618,654,302,711,022,481,360,
497,725,109,941,372,780,110,357,480,708,841,613,489,759,881,592,247,342,845,
329,689,964,919,273,978,030,204,349,344,404,677,721,281,755,235,488,613,862,
831,814,444,103,362,857,122,120,721,490,273,030,205,822,914,800,709,745,989,
346,931,546,473,584,435,438,800,067,774,247,664,817,319,094,623,775,977,897,
608,142,324,584,102,169,552,937,365,042,689,568,264,261,428,255,006,000,218,
061,116,047,489,923,250,097,591,737,711,552,783,475,745,773,944,295,746,453,
797,687,385,811,190,833,666,769,391,470,928,639,758,895,229,592,312,984,660,
210,000,862,471,685,453,744,334,629,161,663,301,372,048,518,868,932,068,429,
908,860,677,524,379,055,129,352,093,449,024,645,370,445,186,867,907,048,041,
638,396,351,781,162,191,609,637,063,798,164,834,533,891,558,451,214,937,108,
562,086,549,897,945,231,827,140,255,837,603,143,397,936,112,110,176,435,450,
861,724,175,193,219,300,506,641,890,554,515,857,539,238,518,866,206,991,228,
947,592,017,424,114,638,494,149,041,580,526,167,018,395,041,617,564,854,891,
399,541,375,108,607,532,965,008,056,929,943,539,581,183,135,648,431,853,644,
164,298,786,022,376,811,319,542,332,148,869,032,541,798,530,401,192,339,036,
905,420,811,356,806,936,368,368,014,387,085,203,857,009,898,366,857,201,737,
123,664,181,546,776,680,865,239,193,992,544,072,638,816,369,726,998,467,090,
435,758,320,297,380,115,285,554,702,927,250,501,127,526,325,389,381,233,671,
821,649,993,900,563,118,774,467,695,634,074,007,298,288,696,451,637,429,161,
480,562,772,653,056,238,826,422,035,079,196,784,215,293,823,626,232,395,120,
847,117,207,047,619,225,934,920,584,474,811,782,266,947,247,235,260,204,421,
760,477,268,600,456,436,849,527,963,663,136,834,801,809,868,050,439,173,517,
860,142,788,900,971,209,042,492,523,923,545,623,643,613,456,393,853,393,551,
084,591,304,537,369,578,963,810,090,909,485,578,605,298,235,897,587,645,143,
503,101,199,620,095,076,083,191,618,303,648,849,355,690,711,902,995,668,102,
920,701,652,730,770,397,242,989,251,861,558,504,880,456,272,556,967,020,417,
064,781,962,531,534,478,041,963,506,850,072,666,975,895,590,987,642,158,688,
049,817,885,577,218,706,592,435,977,082,709,436,681,179,266,025,401,087,889,
430,803,719,472,115,727,959,560,129,390,248,187,401,540,565,161,561,050,444,
887,226,474,371,788,957,422,032,850,338,223,663,440,119,650,885,946,824,383,
565,263,418,503,341,983,833,924,969,084,629,854,037,474,506,307,764,870,808,
071,653,089,284,214,440,560,290,227,391,611,787,065,290,678,898,705,611,993,
540,613,431,755,804,273,578,510,521,532,643,155,784,905,623,728,724,123,942,
914,886,993,850,393,853,603,715,771,009,939,894,606,463,218,093,234,098,538,
955,317,386,629,371,379,936,596,705,094,453,599,983,147,839,031,179,483,431,
209,988,843,411,405,171,431,416,405,263,628,879,983,245,234,062,114,549,720,
310,362,949,533,079,598,153,084,675,787,334,264,320,200,683,078,584,427,304,
189,803,886,888,022,730,288,609,197,657,629,934,221,801,792,559,209,961,724,
309,399,330,524,147,515,577,256,498,780,518,180,682,048,831,312,065,516,799,
163,855,874,614,922,208,574,992,411,148,322,151,288,842,138,172,253,999,313,
640,722,868,946,682,804,568,162,465,463,111,189,953,758,664,004,456,054,951,
578,354,217,013,906,012,801,442,137,326,677,868,327,353,674,058,080,122,857,
244,340,386,922,156,774,594,742,101,667,991,874,316,502,806,581,303,221,671,
667,294,237,070,574,633,501,703,591,959,031,471,660,746,485,657,660,107,059,
232,115,108,399,118,709,314,990,929,227,198,466,140,373,088,067,848,244,701,
276,733,817,895,904,552,165,416,602,997,276,797,276,971,654,083,315,213,508,
515,916,136,002,725,220,236,353,899,770,906,212,450,174,195,738,874,425,558,
889,207,389,616,850,512,915,757,381,291,361,692,247,688,717,112,934,172,233,
460,259,433,389,467,211,664,196,479,773,381,734,677,892,692,498,326,647,071,
337,088,628,308,309,346,794,264,820,722,770,018,525,807,853,662,780,777,770,
678,438,475,529,081,510,073,572,666,554,216,669,637,504,178,867,290,192,910,
077,962,580,055,461,906,556,295,872,527,970,131,187,611,786,913,301,415,796,
019,149,824,376,201,315,153,571,554,555,359,041,299,868,590,517,149,063,490,
766,976,077,250,157,294,411,933,891,601,417,964,103,766,505,679,517,966,039,
415,145,709,205,043,284,209,490,355,036,734,915,745,603,848,216,674,030,744,
278,803,110,714,418,007,800,215,529,448,129,158,230,543,024,086,236,559,434,
101,549,324,146,435,608,063,601,835,583,205,714,291,591,532,813,356,141,299,
499,602,701,019,525,670,538,504,823,037,365,942,538,000,072,138,028,314,439,
677,875,629,075,184,030,316,940,758,407,895,895,521,692,220,795,742,547,132,
172,794,290,460,372,795,005,482,311,105,389,228,767,071,039,648,045,460,325,
030,045,988,680,448,563,223,348,744,541,506,914,917,952,853,547,285,475,300,
160,962,116,347,028,283,194,557,073,977,282,193,369,668,853,719,275,652,987,
294,805,781,855,255,115,018,173,565,158,608,760,216,944,448,219,336,817,605,
737,220,856,929,352,926,912,913,452,571,309,734,434,864,147,657,254,339,020,
115,509,438,647,648,976,128,440,625,714,434,181,715,918,971,738,896,446,099,
131,472,562,622,383,599,436,423,427,534,870,796,123,067,227,521,336,908,847,
287,724,726,450,870,114,834,411,995,057,706,418,715,818,746,979,847,430,227,
587,637,073,697,968,404,377,206,597,724,440,742,825,727,869,860,607,698,383,
886,396,932,521,131,504,738,735,976,240,310,858,602,331,939,759,077,182,802,
038,424,331,541,171,696,885,916,205,806,160,408,093,710,517,584,998,317,269,
782,385,929,065,846,091,951,119,445,919,552,682,239,794,782,499,479,918,654,
533,846,527,960,724,812,147,624,386,952,443,111,626,221,832,378,398,796,745,
933,843,281,481,307,011,565,422,775,360,264,934,748,250,361,526,683,194,288,
956,795,488,048,764,540,742,316,737,825,985,648,315,338,825,161,588,080,357,
999,741,532,933,322,883,245,825,420,170,401,187,712,570,173,292,690,989,262,
202,129,418,120,898,769,506,123,985,022,109,429,452,663,945,154,741,735,072,
825,880,003,224,454,629,935,326,662,129,817,808,221,205,947,398,830,331,814,
369,312,302,095,162,841,786,846,305,804,064,370,803,266,681,029,398,797,198,
583,254,167,751,648,532,983,660,379,133,585,714,735,693,025,169,938,362,814,
177,288,475,300,324,441,489,852,610,274,425,853,671,854,767,481,944,171,240,
968,217,441,269,207,768,147,663,531,059,429,186,854,380,211,526,973,660,605,
405,191,762,308,260,567,556,497,480,375,674,944,922,256,051,758,929,161,277,
745,082,008,135,312,065,322,938,252,834,705,906,295,576,171,323,958,614,290,
683,427,114,687,245,139,685,244,035,101,554,830,329,727,192,823,606,814,203,
728,857,402,821,305,978,388,511,197,182,331,836,500,588,506,497,114,314,254,
949,519,656,918,570,104,155,017,911,523,614,249,254,531,141,446,106,833,935,
367,178,392,345,569,804,166,620,197,071,850,795,603,168,044,010,017,940,041,
957,452,728,210,973,300,062,019,502,638,566,403,288,568,644,752,021,468,138,
626,843,212,085,004,562,149,094,050,892,250,979,617,807,201,426,458,839,457,
516,186,818,517,406,637,974,051,350,854,207,420,068,523,375,640,087,816,358,
339,284,705,615,555,161,444,300,196,045,954,917,309,641,010,132,655,619,806,
147,279,213,635,559,166,955,052,885,849,065,219,250,301,056,840,317,335,406,
437,399,571,149,775,083,934,590,510,653,219,451,635,383,255,015,195,930,442,
442,018,153,924,069,563,012,057,379,045,551,497,785,611,948,029,131,065,796,
987,963,373,030,303,553,516,783,408,034,878,061,533,684,926,934,826,452,277,
141,668,624,543,033,645,244,176,181,904,851,167,041,237,485,678,501,977,293,
351,999,463,532,273,210,599,143,376,909,009,718,349,616,996,750,418,450,708,
254,435,518,623,172,364,548,717,962,551,536,568,471,513,821,314,666,143,145,
571,958,323,398,971,333,507,743,896,211,403,702,354,537,695,315,260,099,708,
133,697,381,132,645,756,361,572,652,274,870,945,791,699,929,013,117,465,805,
045,052,575,086,537,562,289,508,779,009,667,157,705,156,526,982,875,479,477,
881,095,186,419,209,977,056,063,476,214,149,630,395,004,090,437,189,897,925,
144,922,122,337,494,914,795,680,011,298,405,725,274,466,644,417,598,543,098,
830,439,292,412,289,974,147,706,151,485,201,044,400,050,987,011,606,440,162,
590,698,087,737,809,426,832,041,962,282,752,234,542,005,276,832,069,957,178,
588,190,657,978,183,270,366,139,398,644,808,527,368,833,242,405,189,171,486,
638,866,349,384,217,538,679,263,332,519,330,824,424,299,938,450,362,090,785,
026,847,587,991,415,000,063,693,215,671,763,483,452,948,740,196,907,133,850,
356,508,257,648,656,238,472,191,657,325,031,708,988,204,790,956,071,656,708,
207,275,653,457,840,672,029,433,441,111,912,829,155,733,249,391,089,112,149,
306,512,716,270,051,134,446,911,865,482,839,141,229,377,458,698,200,792,943,
431,619,512,123,946,493,184,728,383,413,342,112,213,774,931,557,184,223,903,
606,269,359,875,529,301,712,676,932,731,294,985,827,883,673,573,761,069,118,
029,771,337,425,541,870,168,276,383,029,247,701,305,400,913,126,004,466,037,
813,319,615,048,316,419,065,571,001,519,273,980,323,404,286,969,706,652,283,
829,181,236,463,419,860,678,386,725,292,475,842,226,474,273,256,328,637,336,
844,162,929,232,238,441,730,738,740,849,584,796,981,998,070,928,329,100,074,
670,387,108,237,754,885,565,645,691,532,337,906,623,449,439,991,526,429,184,
444,007,783,966,637,665,584,576,756,216,815,771,309,685,915,753,235,878,216,
685,387,571,874,096,685,706,931,483,959,275,859,371,867,999,757,766,258,908,
327,814,541,504,468,161,077,858,864,820,254,438,151,701,927,425,102,341,838,
597,734,632,814,379,390,641,135,937,847,882,140,336,097,517,514,388,444,313,
123,424,512,446,649,592,972,662,054,700,035,193,462,799,288,744,855,112,902,
869,388,549,156,658,626,110,675,636,873,787,580,790,728,254,146,325,854,812,
129,729,707,152,528,483,159,801,447,088,247,130,729,629,571,704,218,438,774,
694,023,275,231,093,270,373,273,723,702,852,082,388,698,169,776,454,578,096,
989,904,799,317,677,669,513,877,591,471,257,326,497,703,392,478,250,533,821,
150,383,781,796,757,154,014,777,664,636,733,590,686,484,983,053,763,614,046,
362,126,624,242,625,865,707,880,408,533,995,652,490,961,242,475,453,300,678,
251,258,885,208,099,251,344,403,101,730,436,056,931,218,439,640,566,616,726,
058,659,997,621,930,505,212,118,202,673,038,978,323,313,520,841,943,356,452,
556,440,096,963,144,791,503,184,227,876,536,637,218,692,500,290,814,055,442,
801,399,445,894,306,770,616,872,380,360,823,693,743,660,593,351,264,879,494,
009,558,196,910,439,631,352,383,829,972,799,022,038,033,674,077,414,595,585,
924,977,417,943,501,056,169,363,633,624,210,706,254,493,515,448,647,006,398,
436,062,509,025,098,653,390,672,542,972,756,589,286,719,523,401,744,586,939,
497,642,289,795,991,481,368,049,738,638,505,056,433,834,417,598,388,693,570,
761,958,021,959,607,417,729,627,191,850,959,238,467,756,107,772,232,583,885,
142,974,492,685,394,861,838,124,365,911,391,455,171,692,552,712,219,654,001,
587,331,122,290,353,357,441,030,449,594,314,664,705,118,129,154,929,694,732,
900,371,544,947,169,237,288,572,367,718,021,582,768,475,961,134,184,960,001,
165,478,150,422,855,825,117,312,091,011,615,531,208,466,992,174,005,440,549,
332,344,505,406,063,267,762,060,836,350,196,162,046,516,738,667,817,956,541,
187,368,204,674,657,029,726,822,064,522,732,974,087,597,778,900,632,181,214,
281,605,226,304,224,905,409,294,464,998,046,639,672,490,770,009,096,979,635,
935,850,931,701,395,094,191,001,863,184,354,524,150,988,705,619,991,506,707,
949,108,741,605,499,308,887,584,303,863,407,178,317,849,476,041,956,819,353,
816,579,023,738,144,184,355,163,182,667,310,125,699,479,662,999,555,131,559,
404,272,056,249,434,859,522,983,474,290,922,023,257,502,780,816,555,510,364,
166,497,537,036,339,419,399,183,396,002,707,436,766,869,283,784,620,941,488,
031,138,369,996,650,262,793,704,325,111,506,015,024,298,571,301,713,031,192,
378,606,408,967,101,933,557,059,528,369,385,670,429,804,818,451,989,993,874,
158,706,936,616,841,060,734,392,177,381,374,142,453,941,187,926,033,823,767,
398,452,443,289,085,134,687,278,826,574,502,975,701,926,003,590,357,038,225,
306,289,333,612,812,760,730,863,128,767,011,271,985,879,775,871,853,537,680,
060,331,694,956,122,943,312,972,171,417,731,719,914,440,791,310,813,417,174,
984,144,124,820,420,778,625,450,529,743,283,783,386,234,025,268,894,299,024,
207,697,408,724,857,425,870,662,650,242,459,625,593,803,918,455,712,184,811,
309,171,967,459,165,935,890,600,844,885,755,796,389,517,483,242,019,187,202,
274,096,314,524,988,618,382,624,955,262,129,471,089,385,278,013,921,844,129,
120,908,978,244,414,902,467,552,945,865,427,351,478,915,597,464,728,180,936,
818,148,941,583,417,393,837,673,030,715,097,428,563,518,949,048,751,843,773,
601,604,917,344,265,276,498,811,322,225,868,080,282,339,622,870,948,609,041,
676,544,965,947,264,135,191,472,235,426,901,774,547,496,817,513,781,738,774,
197,948,876,234,369,230,011,843,265,828,728,300,630,996,687,939,940,014,407,
144,689,049,098,724,026,931,994,262,976,325,082,846,826,775,443,859,753,179,
738,682,972,558,195,830,605,243,450,492,853,390,637,882,787,198,675,917,418,
900,011,783,371,509,787,639,845,000,374,932,060,320,830,099,787,092,127,059,
816,072,194,899,133,075,465,541,666,131,480,008,347,499,155,514,298,732,263,
627,544,315,317,135,547,512,146,131,832,259,667,812,192,878,467,413,592,250,
141,903,082,417,920,814,490,955,983,790,957,976,634,392,148,743,288,723,985,
492,326,868,097,375,054,868,405,515,064,912,189,525,210,272,907,275,593,341,
364,740,372,411,070,168,504,063,323,614,495,964,903,745,055,674,825,593,860,
564,487,982,621,156,518,802,203,915,366,209,947,943,743,686,848,979,685,443,
850,189,542,886,841,115,064,861,414,255,485,261,234,982,512,462,457,393,002,
070,990,919,090,125,799,243,625,399,669,116,062,493,813,607,985,960,783,300,
898,447,901,714,887,685,102,234,035,111,601,574,890,550,159,249,327,602,175,
362,240,794,214,476,208,266,636,112,585,978,935,260,039,961,957,901,815,872,
734,093,665,190,231,075,886,615,208,375,129,964,741,678,586,475,704,372,201,
604,924,521,253,794,040,393,487,119,555,065,675,766,766,383,779,953,359,769,
537,080,033,478,289,933,426,519,523,905,137,425,607,130,495,603,241,065,106,
424,606,100,392,403,747,517,112,571,826,737,366,590,881,048,100,777,402,745,
623,925,326,953,561,601,258,687,146,631,328,002,804,081,073,914,370,728,699,
353,149,791,963,493,266,000,434,358,792,855,452,360,983,910,155,031,389,502,
622,256,436,735,817,048,677,561,738,064,414,174,475,376,323,894,129,296,575,
401,703,449,871,970,079,634,363,325,868,800,407,852,186,961,732,073,025,591,
506,215,191,757,140,984,045,251,497,820,005,170,372,358,661,192,407,450,454,
587,423,443,635,932,189,557,794,937,174,772,888,037,534,997,488,329,511,092,
599,041,292,986,383,703,591,791,545,606,891,759,304,042,525,038,700,317,428,
963,086,976,473,350,510,372,512,761,790,602,025,150,563,784,549,685,985,544,
772,458,215,741,667,796,747,625,328,047,459,928,336,112,300,089,059,242,179,
185,359,503,718,178,212,094,383,298,498,043,718,299,320,200,053,776,312,130,
234,218,007,336,106,464,394,539,671,786,498,676,349,863,095,970,354,223,429,
118,662,857,425,517,820,963,374,148,857,396,903,274,026,265,213,693,995,034,
785,226,140,645,236,200,536,111,858,155,436,511,524,576,115,844,802,882,471,
941,356,630,022,164,063,154,351,516,547,543,536,959,506,118,352,204,408,876,
087,650,138,787,693,405,763,102,468,552,612,731,527,121,479,985,103,160,684,
953,425,568,480,519,830,674,325,468,995,818,112,393,201,613,568,412,004,355,
372,482,879,735,854,557,962,260,513,741,796,128,427,797,139,565,077,429,510,
283,935,484,106,547,462,908,010,578,207,185,241,234,140,730,650,498,891,338,
748,040,804,793,639,939,121,848,172,012,076,336,050,983,674,078,816,776,385,
552,737,019,560,336,715,585,168,505,718,646,723,883,008,456,352,145,671,415,
244,480,254,049,264,876,568,740,054,886,976,007,940,137,182,382,659,649,855,
738,969,457,253,133,230,876,841,053,412,886,702,352,002,593,082,840,986,382,
332,060,192,256,440,357,434,608,986,240,974,438,581,725,993,567,274,688,549,
284,705,754,851,519,045,161,879,833,654,967,775,244,608,137,613,464,030,040,
871,790,469,588,320,388,623,607,273,186,385,375,407,622,370,943,305,777,400,
689,984,869,273,568,180,611,885,220,898,698,772,577,166,189,147,100,519,165,
017,261,079,105,238,075,160,017,724,840,512,733,560,995,437,255,330,681,937,
791,550,969,709,646,855,278,718,551,532,649,558,991,169,852,386,640,604,205,
131,353,730,433,929,384,030,827,559,478,770,041,765,246,696,766,159,715,318,
134,686,351,308,934,690,073,831,607,588,409,098,306,224,533,801,921,183,550,
904,401,333,062,650,652,214,008,525,795,859,073,068,259,315,935,551,884,947,
737,684,939,172,172,872,164,098,678,067,562,301,072,966,274,442,652,078,123,
176,911,144,686,162,708,125,453,975,219,228,808,172,980,510,271,792,483,276,
472,828,342,316,239,201,694,785,996,354,028,788,916,836,331,332,019,088,812,
356,816,019,406,172,324,751,366,356,469,964,485,929,792,750,127,106,745,017,
687,347,406,742,440,465,424,814,826,480,415,574,501,641,603,582,825,311,473,
038,447,242,713,180,967,145,352,698,043,984,962,671,101,910,343,896,467,380,
083,680,593,685,503,181,598,853,495,265,531,314,975,378,750,210,068,333,671,
859,325,368,394,113,647,773,837,936,345,178,279,368,137,027,974,925,261,886,
982,863,070,285,809,460,187,766,816,943,167,153,533,577,412,289,259,044,654,
627,458,716,042,402,939,318,697,597,708,978,770,380,650,702,696,101,306,819,
836,755,661,208,350,044,494,571,997,954,103,053,322,336,270,448,236,516,484,
444,811,941,295,129,675,260,788,574,556,507,663,338,464,737,905,271,724,300,
810,746,268,810,775,657,770,458,033,048,540,240,768,607,264,641,693,189,789,
062,184,157,598,016,638,079,673,146,498,602,903,677,478,709,048,386,052,849,
691,228,968,870,608,344,328,729,307,484,620,422,145,458,687,969,080,317,290,
930,571,425,757,665,922,237,283,064,780,066,109,686,386,943,663,114,027,156,
373,225,862,758,600,024,245,965,119,265,479,867,307,472,766,933,966,201,715,
094,441,333,050,030,443,496,463,404,765,771,195,649,955,901,966,840,695,631,
487,443,602,659,397,455,257,180,854,536,072,211,475,298,638,195,799,524,938,
695,024,211,359,306,967,126,823,318,727,898,778,033,405,455,049,110,582,155,
014,746,743,310,843,194,620,357,068,938,510,086,373,787,984,896,398,916,948,
996,570,661,741,743,398,650,209,084,561,507,822,011,417,640,572,210,593,109,
651,584,501,741,157,840,328,817,516,862,505,963,990,933,990,187,837,822,234,
462,082,406,920,800,227,448,859,286,048,506,775,050,892,314,816,886,822,511,
287,675,919,556,519,005,141,529,186,857,168,427,116,212,149,812,935,343,268,
060,672,758,406,380,128,661,969,682,866,537,212,906,007,796,511,262,360,279,
501,390,238,080,235,928,294,030,694,618,753,352,518,551,645,080,278,726,750,
404,784,385,547,850,982,876,013,396,582,079,610,255,636,053,165,234,592,447,
158,109,701,988,244,795,663,303,512,682,374,805,669,564,443,854,464,193,928,
826,646,271,885,313,353,842,148,521,479,836,251,844,846,551,269,286,496,370,
070,499,315,901,773,796,192,986,225,613,400,201,953,349,985,193,127,511,610,
513,870,953,471,803,602,269,863,574,639,483,260,029,400,710,168,102,317,189,
947,494,916,597,886,612,939,975,472,334,822,863,949,435,308,810,034,345,325,
500,972,450,257,360,626,248,389,722,532,642,602,819,866,994,692,244,634,635,
516,619,025,549,552,834,924,801,885,488,082,364,764,538,068,531,109,985,740,
401,649,839,304,430,150,439,222,718,024,823,775,845,928,930,343,031,984,688,
896,950,466,743,716,704,720,104,432,646,567,750,361,604,794,715,685,936,549,
970,310,017,431,276,165,481,486,071,761,052,206,206,850,440,166,004,126,292,
121,267,509,585,512,350,010,450,201,750,548,992,563,166,590,215,819,646,464,
004,637,284,464,574,669,534,017,591,724,247,541,149,096,576,374,645,429,593,
066,451,263,894,546,603,829,388,035,917,203,918,964,202,240,802,120,929,836,
831,681,983,335,430,752,630,167,352,332,040,522,848,152,460,480,352,548,504,
115,286,827,102,827,857,319,649,246,746,094,641,469,693,827,167,987,345,575,
029,005,604,518,250,735,062,553,224,662,692,880,349,676,969,848,950,925,960,
548,642,852,748,938,599,174,302,940,578,732,848,177,301,406,755,485,742,267,
312,876,891,786,101,683,393,588,329,762,724,429,687,081,972,476,925,642,197,
822,762,337,424,920,063,387,298,209,738,165,593,338,533,515,221,033,425,687,
506,281,798,360,449,621,629,006,057,957,926,686,052,868,336,421,064,397,051,
994,661,602,157,142,066,588,863,167,462,896,523,582,277,671,088,426,866,146,
030,695,549,177,834,057,466,970,594,909,556,763,684,266,449,632,833,240,774,
132,039,834,784,990,777,124,895,518,085,105,013,585,105,579,785,451,357,715,
822,755,088,061,681,394,590,030,669,384,409,092,689,951,545,421,599,168,627,
625,776,198,799,443,323,670,294,010,255,702,760,266,692,279,104,989,998,635,
568,732,622,097,286,407,900,710,860,489,690,457,718,237,425,842,983,608,079,
673,707,550,295,617,418,343,183,102,387,766,527,774,784,978,103,870,370,916,
269,112,967,291,129,931,162,070,438,023,696,219,285,043,928,002,141,020,731,
135,516,280,865,003,857,129,333,073,975,012,723,294,888,347,048,699,264,582,
970,472,505,078,859,476,751,426,353,253,189,415,247,962,775,706,133,058,061,
461,965,874,851,946,960,498,803,838,011,852,156,698,501,338,858,455,970,034,
641,687,460,366,222,531,748,760,456,345,928,049,231,587,348,606,163,529,080,
023,518,744,494,903,570,672,011,186,614,890,780,983,402,304,152,375,886,196,
281,533,809,318,474,328,384,046,232,771,922,001,515,879,564,978,435,331,038,
224,561,948,371,648,130,313,578,130,943,530,032,671,128,747,724,059,094,390,
802,650,884,858,043,225,999,923,580,580,256,762,112,477,768,638,216,297,750,
193,969,495,913,011,146,361,722,258,354,167,642,304,890,072,727,447,653,937,
250,415,503,765,767,040,618,390,385,498,946,830,067,166,846,203,756,348,118,
287,592,691,842,386,417,216,613,163,699,513,803,248,624,798,028,402,599,114,
315,910,377,409,516,331,637,886,686,024,953,110,365,142,153,451,826,398,449,
101,737,978,459,256,965,690,331,610,286,702,077,205,186,419,794,881,218,469,
237,281,262,681,697,787,267,486,899,647,218,182,564,935,384,504,203,638,414,
685,211,317,695,647,864,943,504,196,991,929,921,798,423,159,399,641,003,657,
679,114,264,069,849,789,510,954,448,434,809,019,003,903,444,208,583,022,858,
421,907,225,181,352,676,438,515,031,009,003,054,072,439,396,225,769,340,624,
381,329,960,567,486,218,807,951,976,825,698,912,257,954,564,431,304,474,232,
602,362,887,390,431,297,624,515,545,755,047,109,249,258,746,421,366,176,899,
860,644,270,028,212,132,971,010,672,087,248,569,669,136,000,757,451,503,489,
519,869,017,658,938,796,488,162,507,063,301,646,512,202,154,116,132,566,425,
082,987,450,346,680,272,812,591,688,697,322,314,249,228,135,089,283,094,858,
209,413,925,264,611,432,400,434,546,892,637,602,587,858,578,338,781,296,183,
257,052,430,038,055,788,122,109,813,805,777,968,110,370,440,000,462,453,882,
829,918,376,197,938,858,975,545,465,477,759,947,562,651,874,705,091,856,224,
191,072,944,756,458,267,807,394,151,660,024,626,876,384,628,970,241,728,182,
262,509,119,123,959,573,401,798,920,768,265,210,130,528,022,705,013,476,556,
261,891,423,342,379,490,046,334,860,396,906,256,290,427,049,195,821,524,962,
111,524,578,150,130,043,039,136,643,000,121,821,633,526,006,504,592,661,541,
514,860,910,594,516,085,906,229,825,256,954,280,906,613,247,067,892,869,406,
312,467,385,327,119,532,721,105,325,205,660,218,289,999,688,193,146,971,235,
390,406,598,999,397,871,150,726,723,288,096,275,481,278,149,784,603,497,885,
451,086,075,828,590,277,673,373,781,636,434,548,411,439,951,413,941,134,768,
984,309,578,181,643,507,551,705,100,969,477,993,921,180,940,979,777,378,057,
707,037,821,980,578,662,961,877,981,888,904,428,407,251,932,388,205,127,824,
829,814,150,967,703,981,721,632,982,807,613,728,639,349,366,606,281,940,283,
268,482,768,381,683,448,356,886,918,680,317,946,304,515,602,751,892,995,096,
882,608,521,442,010,148,537,045,664,186,805,649,270,196,403,143,492,000,720,
266,540,954,188,320,865,238,626,941,313,444,361,912,276,454,797,173,096,445,
654,165,504,918,629,106,506,870,729,679,726,070,717,942,319,591,936,310,842,
082,165,847,044,921,285,594,863,410,984,550,558,237,144,536,872,993,014,839,
258,017,713,877,738,026,899,067,067,762,606,154,747,933,729,972,402,353,859,
406,529,831,259,438,908,295,036,260,822,560,717,461,954,621,891,791,142,333,
429,480,536,972,219,580,400,258,579,268,067,768,760,899,824,378,592,740,231,
934,278,490,939,983,828,899,310,926,814,602,744,620,933,133,793,977,709,528,
218,959,587,318,033,919,900,619,264,467,910,576,970,048,239,626,119,834,936,
872,353,942,674,104,343,721,098,535,615,612,084,798,770,039,144,244,602,468,
226,735,433,757,002,904,621,609,635,865,370,850,441,840,849,599,273,976,024,
844,908,044,029,599,134,228,337,518,415,928,143,255,302,321,833,764,265,981,
381,031,877,228,019,201,314,151,653,316,369,111,014,364,577,018,707,190,614,
792,002,204,588,962,204,077,625,106,953,274,116,182,157,280,130,731,407,549,
944,283,341,290,566,031,644,067,832,584,228,627,905,764,442,437,523,895,978,
873,831,969,402,289,743,282,949,708,325,196,415,966,898,916,174,322,223,355,
578,207,455,141,727,392,161,406,288,587,363,042,459,768,681,950,794,077,316,
953,550,718,474,696,330,827,492,423,425,553,180,347,955,526,945,208,610,619,
131,875,556,857,733,300,690,303,818,812,571,071,968,694,480,841,400,201,228,
447,320,911,947,332,929,638,982,249,688,072,015,157,852,579,959,410,918,513,
407,012,204,215,632,877,537,343,238,681,488,076,657,024,285,272,370,242,358,
808,989,992,209,785,575,328,408,990,548,136,345,729,118,499,709,830,557,764,
059,652,185,218,251,892,222,270,376,125,104,491,801,585,853,468,353,473,441,
299,347,569,342,219,546,168,648,394,532,471,600,214,909,797,698,294,107,343,
355,993,294,220,215,608,849,008,177,860,958,642,722,931,136,967,151,349,335,
293,325,907,750,470,169,036,843,450,602,879,643,498,041,261,196,461,758,781,
592,124,236,341,965,741,972,497,849,835,333,967,164,387,501,302,802,777,244,
644,466,081,026,646,980,716,774,408,407,664,754,428,696,517,694,206,249,284,
690,517,676,398,154,168,068,603,721,053,574,484,826,619,174,211,703,845,870,
573,165,401,518,647,284,062,192,688,292,925,659,907,201,249,810,556,034,308,
131,033,613,366,574,900,035,905,484,382,478,183,567,175,026,763,955,575,331,
220,011,052,736,558,169,920,607,490,639,000,426,022,447,507,675,711,255,191,
591,137,880,378,860,535,770,034,841,537,145,553,917,680,798,288,263,986,449,
226,284,218,700,236,621,157,287,071,593,296,696,267,138,578,708,648,075,094,
974,655,736,193,676,413,030,070,892,281,099,648,895,163,113,901,065,535,570,
212,046,616,538,879,190,009,001,960,014,607,770,516,008,957,661,146,544,976,
319,124,943,154,806,780,814,321,134,014,176,407,043,832,608,040,230,440,643,
409,800,613,029,852,591,071,126,019,984,636,308,245,487,120,234,062,387,561,
014,585,755,820,363,942,261,977,177,063,280,149,124,160,419,853,725,303,311,
463,290,111,814,606,175,993,324,033,207,459,862,871,976,662,316,105,231,584,
577,027,431,422,346,392,089,437,914,231,420,779,993,973,093,293,446,051,115,
945,622,940,300,096,834,546,509,030,019,979,457,407,055,253,691,100,670,008,
023,034,081,336,278,372,840,198,965,250,822,930,677,402,693,455,237,809,992,
878,315,251,658,052,895,494,812,143,324,624,874,493,910,834,846,340,080,879,
382,291,288,940,219,367,732,297,492,463,811,698,540,367,850,399,489,941,725,
890,415,434,688,584,147,833,754,956,098,498,601,434,731,349,689,127,680,980,
325,192,279,226,763,041,392,549,620,903,668,116,723,460,331,375,546,305,895,
588,774,865,958,098,326,021,494,187,495,100,840,054,704,530,874,186,558,566,
344,699,448,421,088,818,909,630,988,049,362,492,967,944,851,171,737,265,635,
116,543,757,534,057,310,129,446,432,247,461,117,826,499,101,546,547,988,352,
550,339,747,313,228,620,626,587,858,861,505,242,163,928,388,199,832,678,594,
272,933,865,832,777,298,352,980,205,824,774,165,388,754,792,053,783,935,119,
404,932,736,312,432,401,942,340,079,597,986,135,129,374,634,868,392,051,854,
591,587,639,341,917,172,013,900,433,135,847,920,385,960,350,399,986,802,866,
896,869,795,150,693,299,666,138,809,096,076,475,911,981,843,201,294,586,707,
730,679,888,170,753,119,167,642,984,404,871,708,327,437,970,176,034,716,348,
562,903,122,637,718,099,402,362,817,713,662,558,169,880,335,892,728,300,114,
159,364,483,430,295,072,296,031,468,981,512,698,257,761,196,752,489,503,872,
464,349,767,108,260,234,941,776,165,131,797,291,949,648,396,571,912,943,884,
802,336,996,773,998,568,155,760,556,400,798,098,751,579,053,628,140,205,342,
089,780,718,735,170,975,282,887,214,682,687,337,979,326,438,435,486,942,074,
956,808,524,828,728,842,906,677,706,325,775,208,493,358,783,126,594,278,003,
108,257,370,183,271,331,164,916,077,990,079,562,440,485,888,400,756,810,496,
776,716,355,641,600,856,272,175,932,103,146,086,897,926,520,870,466,490,062,
160,471,589,566,052,967,591,350,657,641,838,869,984,858,043,036,640,738,483,
781,610,365,666,439,852,059,312,866,993,857,002,661,879,410,764,357,707,392,
715,758,575,318,916,592,808,100,247,066,794,623,570,913,799,482,519,708,107,
104,338,810,305,490,612,523,988,529,099,213,262,034,703,706,018,904,493,545,
992,612,511,219,556,378,913,705,381,488,832,775,039,363,680,889,906,638,176,
450,269,275,049,286,412,804,367,618,590,886,349,215,662,600,191,197,640,199,
001,920,265,759,064,456,130,842,690,174,823,634,538,375,614,187,061,050,159,
810,858,607,006,646,349,809,102,142,247,114,442,057,301,894,206,261,011,704,
742,386,264,973,315,639,673,793,633,669,940,444,165,379,931,521,879,203,841,
738,615,922,464,859,600,877,526,762,122,894,695,189,457,272,515,169,492,179,
248,909,356,078,691,391,664,644,213,125,874,476,135,933,560,478,026,607,627,
819,331,851,453,284,591,352,859,405,236,540,795,947,060,262,021,743,586,804,
083,558,430,856,960,955,954,398,224,255,548,507,940,342,742,534,919,991,073,
947,137,946,124,157,996,679,564,508,700,454,419,109,872,287,298,235,254,316,
873,669,638,542,920,752,286,431,525,247,506,760,795,193,593,943,408,443,680,
530,054,505,713,948,495,050,838,096,440,714,318,222,305,873,413,376,857,132,
659,886,944,300,233,753,612,417,457,732,584,423,464,506,543,950,845,608,145,
914,109,242,784,623,530,413,403,995,579,072,818,308,301,190,750,477,848,515,
945,783,082,563,860,594,517,587,349,764,481,808,416,105,659,431,396,602,949,
907,662,515,572,637,111,014,398,527,096,872,776,222,973,145,307,008,383,913,
993,721,620,028,616,953,646,383,570,499,159,268,478,873,589,143,511,321,547,
312,550,580,188,145,254,555,871,017,145,051,233,870,964,164,791,767,877,664,
275,603,769,889,895,623,677,994,821,702,162,446,519,553,649,104,973,486,989,
500,984,472,807,555,348,692,049,124,380,055,218,523,982,053,530,908,788,241,
412,803,518,585,942,793,079,184,016,371,948,709,541,846,897,744,262,483,934,
162,398,079,555,787,706,746,956,311,040,179,948,183,794,609,580,927,543,844,
309,316,837,485,881,839,543,991,012,532,036,791,545,888,172,450,254,801,441,
443,707,107,739,531,825,191,624,454,826,437,864,439,754,502,958,999,059,588,
352,253,592,572,782,483,016,619,177,686,263,838,477,980,433,460,168,525,416,
026,830,123,297,326,674,951,677,994,253,796,758,778,387,834,853,192,213,774,
501,935,739,095,121,565,954,587,281,664,170,416,277,871,752,339,796,985,089,
334,683,504,237,420,945,272,992,151,551,002,657,873,365,142,597,925,701,100,
891,528,718,907,539,916,999,958,357,491,686,069,887,915,746,324,876,022,165,
652,078,541,280,156,679,538,417,001,173,988,921,077,360,125,973,492,196,206,
454,230,025,781,955,482,724,925,882,294,697,401,151,270,496,655,652,154,037,
205,264,715,079,273,054,922,538,664,489,061,787,226,801,131,289,864,849,457,
986,298,063,336,473,235,084,483,279,918,805,499,379,092,349,648,831,647,535,
464,903,550,459,496,540,665,913,916,232,482,103,034,688,569,212,529,555,731,
363,304,979,759,129,725,770,231,413,408,708,023,406,123,349,474,456,503,120,
792,864,198,605,343,217,638,980,809,151,817,706,152,153,379,501,621,734,953,
952,034,752,337,344,751,947,280,141,195,054,397,875,844,483,999,311,702,678,
509,475,558,451,366,432,470,406,166,584,273,518,488,904,455,764,384,277,685,
029,119,988,872,987,170,256,882,714,053,586,253,591,284,601,636,184,622,888,
294,646,262,766,759,892,404,377,695,393,426,158,505,858,391,499,426,945,477,
253,990,513,225,773,844,407,632,306,983,825,858,097,728,803,492,251,859,484,
565,235,142,502,200,860,708,672,785,742,615,580,110,146,941,669,395,163,637,
740,717,504,641,728,404,955,814,717,024,949,198,889,664,171,348,106,054,390,
299,233,456,235,103,993,521,093,928,141,618,400,108,400,895,124,917,949,268,
329,974,032,199,569,812,171,951,694,804,000,939,462,510,643,768,702,371,898,
965,056,469,310,675,871,698,806,471,654,997,659,102,843,401,796,107,109,288,
170,694,517,391,579,467,335,773,696,577,267,051,273,219,088,534,896,774,170,
617,689,690,836,585,799,855,589,692,311,511,315,200,867,300,532,882,719,552,
603,293,537,965,852,980,348,096,844,968,657,463,719,774,435,731,736,792,708,
524,597,197,615,422,150,151,234,967,310,104,269,165,265,318,824,509,551,620,
143,620,542,212,880,691,247,525,273,388,572,266,909,339,096,149,096,141,199,
874,396,583,911,261,166,591,170,527,589,498,290,471,812,244,382,218,345,977,
324,990,889,533,928,342,152,111,912,896,362,629,323,787,643,723,072,583,147,
303,505,832,121,402,851,063,269,049,269,516,279,823,428,623,309,402,549,886,
984,723,986,119,739,565,170,899,213,599,962,277,445,183,530,566,347,188,042,
509,023,332,420,188,414,964,526,535,970,313,514,786,586,435,073,748,202,149,
646,169,241,499,925,065,050,451,155,508,958,009,958,129,585,508,609,147,974,
031,151,823,330,947,384,987,263,367,961,337,084,671,422,120,736,736,882,486,
807,813,310,875,197,729,812,285,604,694,434,434,024,162,968,245,987,352,815,
140,304,170,260,519,057,667,277,059,811,127,785,368,632,942,469,772,303,414,
328,017,539,715,490,267,382,805,303,471,595,741,232,808,961,980,516,262,599,
290,278,426,222,728,951,314,247,535,003,354,616,158,334,670,176,279,736,002,
728,463,113,698,032,818,462,131,406,678,031,593,054,790,919,694,772,634,457,
028,766,313,538,667,855,423,598,577,075,519,763,275,530,816,182,074,952,922,
961,901,601,676,635,122,136,593,382,361,897,965,196,438,265,549,178,962,580,
578,895,758,353,764,241,753,382,674,160,602,915,896,257,976,989,572,054,572,
743,266,832,727,839,600,066,819,627,185,607,757,111,130,180,924,514,387,782,
647,067,107,894,153,492,384,976,286,456,171,115,012,443,622,947,266,832,235,
130,440,641,296,333,942,973,985,286,554,024,509,556,890,221,160,148,341,378,
528,681,065,510,309,027,600,525,270,157,612,326,372,886,598,473,428,903,737,
219,343,267,415,037,410,173,902,438,409,333,175,920,264,236,957,920,064,926,
917,649,748,005,918,015,612,112,066,838,398,600,812,034,462,082,713,661,922,
750,310,755,142,325,488,661,496,430,265,553,308,468,046,097,252,362,682,292,
004,508,195,856,940,735,218,787,771,827,510,135,267,785,444,080,801,536,132,
470,704,186,419,342,034,110,385,860,509,758,535,345,775,325,311,451,363,577,
608,355,799,671,630,324,694,374,972,992,295,508,794,154,809,035,632,249,723,
351,678,006,782,935,459,453,541,968,915,027,663,135,998,356,589,703,553,971,
804,990,436,921,731,758,802,204,015,958,030,594,242,552,800,732,023,009,030,
637,303,618,369,201,204,356,042,711,945,220,751,291,843,078,137,537,169,398,
262,078,216,135,919,792,291,478,035,347,823,977,398,361,264,765,422,688,466,
681,639,005,772,950,051,729,251,274,813,598,372,205,867,225,866,769,175,083,
970,712,166,195,311,949,005,432,309,096,605,280,032,514,540,571,690,772,806,
715,216,660,427,962,803,771,876,085,377,692,416,762,263,237,188,947,355,974,
385,589,900,306,098,224,561,775,508,594,154,613,209,830,354,053,573,604,145,
262,094,438,161,234,881,195,102,370,234,476,208,302,862,933,547,559,353,077,
863,796,843,365,662,772,258,413,056,418,285,693,859,530,901,463,274,689,999,
783,926,300,134,026,068,058,798,289,083,890,601,658,380,312,395,910,046,653,
460,491,202,345,056,720,272,490,755,548,725,940,948,615,370,999,834,892,756,
171,639,948,516,415,607,477,192,848,594,368,164,051,499,687,001,072,224,591,
209,717,623,190,387,977,936,608,516,846,350,535,129,308,339,658,805,941,814,
276,347,821,749,156,524,534,312,604,666,196,678,315,581,527,086,719,440,102,
699,656,923,886,166,527,558,676,706,540,550,980,405,603,836,526,718,848,618,
004,237,392,772,583,437,420,223,384,285,547,046,022,013,964,343,534,846,901,
807,004,617,650,596,650,629,496,514,239,975,633,095,800,122,148,179,522,391,
609,245,770,368,876,338,875,438,489,818,196,589,134,976,245,912,509,240,024,
040,095,797,158,179,656,296,274,083,810,872,118,791,396,629,393,593,915,303,
155,533,922,875,836,832,281,748,769,434,838,040,109,982,555,438,249,651,083,
305,403,319,225,932,466,915,151,989,899,675,677,077,640,003,381,452,477,535,
200,601,659,493,934,482,712,969,931,520,359,148,223,839,500,979,476,309,796,
750,340,818,257,896,759,573,315,784,663,595,296,562,319,325,647,040,096,987,
014,975,579,747,869,143,332,578,567,106,538,276,075,348,389,541,158,615,458,
894,181,626,892,487,645,344,990,039,388,715,237,552,828,389,379,763,138,827,
235,840,029,933,003,656,482,949,519,422,933,345,766,216,518,528,565,123,454,
980,861,317,917,809,537,061,500,649,927,518,698,134,824,138,829,442,751,643,
106,102,838,513,249,231,646,700,322,516,344,699,736,488,549,458,451,084,501,
118,577,176,073,400,743,882,202,905,259,825,387,247,769,150,599,026,348,113,
459,602,456,920,633,249,323,053,966,145,700,509,615,890,332,702,875,899,367,
216,144,724,500,402,563,061,574,448,060,209,879,521,394,930,085,521,973,880,
845,639,262,488,041,581,517,139,115,359,466,564,963,026,963,881,302,971,390,
372,734,926,376,000,713,487,545,910,822,045,843,669,107,348,179,509,437,020,
063,911,608,639,556,543,501,387,207,296,464,031,140,334,458,928,118,143,393,
352,210,803,112,351,347,048,293,024,882,527,667,033,478,006,749,691,324,044,
304,220,217,667,807,112,798,351,206,193,291,201,984,617,441,806,077,652,562,
516,966,160,975,201,241,008,394,015,577,231,301,625,155,906,064,042,966,723,
616,817,752,797,540,726,613,394,748,723,697,021,784,096,608,996,117,408,889,
845,024,836,539,185,668,601,639,765,616,402,922,363,049,958,142,759,672,600,
001,137,284,695,407,275,579,211,766,764,679,624,001,407,725,870,020,094,137,
840,883,964,140,014,412,373,695,848,012,310,111,205,806,531,494,423,314,215,
066,414,704,815,528,020,131,233,391,108,976,801,082,758,702,636,315,896,028,
406,891,811,521,306,751,356,465,576,688,776,469,235,974,165,423,078,559,231,
759,099,698,439,751,153,761,868,398,869,993,808,794,441,552,919,716,353,684,
932,471,448,597,731,170,001,406,310,087,183,251,228,962,905,373,655,833,391,
040,466,458,190,282,658,149,565,144,993,018,927,219,002,458,208,837,951,300,
270,271,334,679,973,254,666,315,542,115,038,380,432,721,975,991,219,685,317,
421,779,790,121,870,026,704,770,997,273,488,085,318,755,951,974,887,413,132,
157,498,577,853,416,827,911,185,062,064,286,372,902,532,906,134,401,865,856,
496,575,160,833,451,657,592,350,686,263,629,794,899,912,985,813,080,293,561,
540,175,888,184,343,441,466,288,170,801,839,157,404,599,675,500,717,146,849,
903,893,001,792,996,372,767,765,919,361,444,871,497,330,743,044,584,652,955,
784,103,191,726,652,359,563,312,657,400,673,606,530,160,114,664,736,102,394,
085,593,793,718,600,745,526,004,900,275,241,605,843,191,833,369,490,524,135,
051,173,727,877,696,161,403,042,166,259,393,543,120,631,969,978,962,763,760,
771,751,176,049,273,198,746,996,215,715,562,584,462,923,691,860,203,565,920,
435,870,710,366,210,791,458,593,071,799,567,132,698,909,514,792,647,874,347,
143,810,800,221,387,538,499,303,654,186,285,831,086,311,914,132,298,807,113,
538,678,518,753,562,070,911,293,294,615,831,501,177,099,361,537,904,930,867,
920,623,936,441,036,818,226,827,039,454,600,265,515,016,072,101,132,948,460,
575,287,791,791,498,635,623,707,300,773,469,655,176,420,812,189,396,420,988,
584,083,269,602,208,462,266,215,626,242,097,882,131,050,002,698,188,897,884,
514,303,615,233,917,166,984,227,289,334,399,990,998,900,293,829,654,175,198,
575,335,587,357,087,793,825,483,665,203,470,251,486,322,427,616,281,422,624,
961,828,003,267,470,279,691,541,098,104,154,507,925,792,181,728,456,075,648,
682,783,270,460,117,180,920,687,388,623,899,665,026,631,500,691,515,741,732,
869,088,085,264,946,511,045,226,121,581,531,834,844,974,001,739,168,959,941,
352,078,611,330,173,979,757,692,547,761,520,297,170,834,549,592,543,218,486,
821,196,580,834,224,747,151,957,551,649,668,032,282,004,426,966,229,279,809,
956,554,772,064,870,412,563,247,157,164,022,048,846,133,434,332,855,391,907,
189,017,569,550,796,074,317,024,725,229,970,102,856,266,592,238,634,154,956,
039,052,715,685,497,840,288,517,801,424,811,758,440,912,810,005,040,224,729,
581,295,840,735,227,050,483,314,072,180,370,795,651,943,157,780,754,931,188,
782,756,333,549,789,473,979,524,697,549,646,856,070,991,592,937,304,003,135,
347,208,817,454,403,155,677,444,738,139,979,440,899,106,958,591,218,025,808,
626,279,055,502,771,884,282,041,838,018,545,600,311,666,275,209,727,608,394,
540,301,428,825,864,167,413,060,074,075,314,854,401,559,252,918,665,733,712,
882,587,091,042,586,487,046,242,939,168,487,584,577,743,364,268,726,065,476,
251,658,158,230,057,139,268,465,415,355,081,997,308,153,741,850,133,204,254,
623,107,783,161,127,197,994,391,771,328,296,804,413,482,419,396,612,978,134,
346,118,440,877,712,925,039,749,017,994,543,785,256,487,846,214,828,997,162,
102,030,889,784,769,424,560,800,620,598,440,158,388,655,777,511,572,769,902,
486,288,938,645,744,382,180,329,375,708,917,919,807,598,909,318,227,849,612,
166,984,324,259,228,203,353,471,373,168,862,890,878,627,566,366,694,910,124,
608,732,889,885,089,993,692,054,575,262,066,458,381,034,176,691,365,723,787,
915,179,020,709,303,794,836,046,537,328,513,171,356,031,325,039,283,711,221,
776,916,396,815,847,928,726,422,248,999,004,880,858,847,490,438,844,832,601,
642,162,467,162,711,356,693,791,784,662,469,508,639,977,601,314,451,398,301,
160,312,444,092,980,811,559,874,367,338,279,248,434,060,749,575,194,060,159,
351,464,866,291,180,719,590,599,390,841,214,985,053,394,224,905,700,305,204,
288,572,596,961,907,570,266,136,733,265,657,803,423,284,280,998,717,483,076,
412,938,932,787,632,583,761,061,600,660,753,707,577,623,151,939,423,522,136,
728,179,282,285,684,580,855,864,166,911,355,375,169,751,858,109,066,839,370,
255,290,467,552,488,523,788,963,243,551,661,807,840,874,955,769,093,392,985,
254,774,127,709,845,453,680,777,363,105,195,782,180,981,701,732,254,548,747,
613,371,171,119,169,555,624,246,134,788,593,100,670,320,462,182,875,119,052,
357,106,602,184,418,074,051,371,135,209,774,192,953,542,943,570,973,777,668,
664,592,641,139,121,882,754,886,952,747,873,450,457,489,022,159,943,959,018,
019,759,916,378,202,774,823,221,335,880,865,345,876,035,657,625,176,947,769,
784,082,948,140,037,485,729,830,225,450,915,076,713,259,410,550,104,686,254,
762,127,839,698,392,068,537,904,052,498,364,651,479,911,079,320,192,191,195,
477,627,355,516,053,434,603,541,111,954,931,354,548,611,729,777,725,111,574,
295,437,778,004,444,897,386,575,857,893,949,062,664,876,646,348,923,820,851,
452,650,091,825,034,884,171,697,733,710,677,529,726,897,820,982,903,955,781,
167,278,735,386,364,068,004,138,301,126,095,391,382,124,624,651,984,087,627,
185,999,407,837,400,798,814,612,330,679,476,381,492,869,942,513,602,360,496,
644,266,655,683,611,149,624,992,874,290,023,576,184,391,933,626,495,885,645,
104,761,682,967,731,638,099,713,557,901,064,562,818,693,536,947,595,735,625,
889,916,776,321,869,220,458,225,605,402,453,408,396,729,141,894,636,480,767,
448,786,375,998,959,785,515,765,579,417,120,442,165,743,762,519,354,768,337,
904,296,680,692,489,751,546,582,830,336,847,978,073,645,544,435,613,402,972,
873,854,413,590,825,100,203,548,725,129,816,139,891,689,193,459,333,452,708,
721,135,370,323,147,660,603,279,975,550,044,072,271,923,448,967,093,983,038,
827,964,226,818,270,311,704,216,763,904,481,095,910,690,373,466,697,325,260,
538,408,281,686,970,137,068,413,657,179,710,458,578,387,008,369,688,987,332,
588,835,103,549,354,061,069,551,848,197,139,058,539,525,233,381,251,310,499,
459,114,672,256,923,563,357,257,732,743,457,582,135,948,674,576,908,403,169,
186,390,483,060,244,064,388,443,566,805,336,577,252,906,493,136,061,999,075,
597,014,654,190,665,635,423,268,081,683,240,112,543,283,215,946,972,544,212,
256,804,411,288,148,865,051,636,037,712,750,971,995,345,376,975,031,951,873,
731,299,006,213,871,771,233,293,136,142,411,631,754,249,382,405,793,188,752,
309,044,451,015,853,530,654,630,805,144,225,527,717,669,337,159,612,483,427,
150,392,151,754,846,816,736,917,947,754,947,096,623,743,508,491,768,528,258,
543,556,642,998,340,852,911,997,606,374,574,937,478,715,079,410,431,008,113,
828,463,743,638,954,550,221,181,419,232,681,687,015,749,591,207,683,493,344,
651,758,208,982,009,641,954,563,258,643,664,479,156,230,059,246,044,540,130,
273,450,577,834,009,987,768,814,917,125,215,403,286,742,251,188,838,422,598,
817,295,979,372,414,975,896,640,937,746,014,729,945,189,081,492,409,322,174,
854,520,869,574,643,174,750,298,475,383,272,913,649,675,696,363,392,690,460,
809,398,049,287,964,747,214,184,913,930,466,979,930,101,131,297,541,806,692,
094,710,486,652,942,524,901,097,286,828,116,483,353,647,016,087,728,908,648,
831,498,540,414,417,001,921,097,622,057,139,817,368,684,052,098,954,113,576,
808,403,853,591,985,431,477,633,845,858,007,210,882,964,438,297,776,931,442,
091,035,333,739,703,688,972,047,715,951,847,275,445,571,198,282,902,045,124,
924,368,338,340,792,538,247,127,259,033,438,095,381,269,160,472,403,289,557,
898,460,120,346,952,991,386,107,074,172,688,567,395,841,494,167,649,383,373,
798,250,865,620,915,984,417,047,499,687,211,922,231,733,254,916,038,883,124,
499,315,972,944,919,940,984,826,562,004,494,479,289,279,847,115,076,603,520,
866,271,626,101,363,302,498,957,469,702,854,168,798,881,409,954,660,881,894,
279,616,720,117,108,649,243,447,733,476,460,926,356,046,490,215,419,553,665,
292,938,464,065,799,542,101,012,250,758,191,108,000,287,534,862,029,617,352,
579,346,947,939,391,003,104,480,235,403,054,762,151,096,621,212,383,633,367,
864,018,300,902,964,588,349,726,824,625,217,394,553,270,600,907,880,736,874,
394,741,837,225,955,944,986,876,109,451,042,195,018,845,908,902,956,443,474,
564,896,133,860,411,396,683,762,640,521,494,280,052,864,302,367,765,574,059,
001,931,341,176,564,934,269,021,841,866,539,612,165,765,599,633,415,164,384,
328,072,249,022,624,776,374,954,703,327,604,338,397,413,431,590,669,087,470,
782,477,993,397,442,886,644,892,124,031,400,115,025,030,568,293,363,532,517,
305,941,165,078,631,462,510,500,840,831,295,720,425,747,825,904,093,494,466,
682,898,264,310,731,373,176,215,548,148,899,209,075,249,823,364,546,282,533,
435,548,703,866,045,723,092,339,739,285,090,912,307,431,850,492,104,597,143,
706,393,155,315,621,481,758,043,583,248,633,124,207,033,712,893,549,508,159,
572,327,596,704,190,438,432,531,893,030,815,322,812,322,575,650,345,331,317,
165,527,997,322,335,519,042,694,741,633,452,178,767,516,296,376,659,342,233,
637,445,894,470,201,198,688,981,337,982,018,713,857,285,752,498,905,923,513,
538,222,328,364,865,304,583,515,058,572,484,951,971,619,815,426,965,701,603,
310,902,419,576,372,189,159,292,078,661,286,299,511,089,501,106,543,032,967,
097,602,652,745,536,092,291,020,518,905,990,268,473,294,207,896,575,899,925,
203,587,504,979,192,837,199,501,598,524,330,556,805,978,115,147,684,275,473,
856,086,623,309,962,967,129,444,388,176,185,384,791,573,853,201,008,049,156,
758,392,339,205,985,392,488,130,559,259,993,896,775,127,373,485,472,984,973,
589,265,383,305,034,040,779,287,977,618,043,368,714,938,350,245,816,954,272,
490,627,539,458,542,762,292,096,515,089,860,238,844,435,854,815,442,657,749,
190,893,491,685,378,437,636,995,308,651,907,891,497,776,347,578,302,361,521,
105,454,673,133,793,276,773,221,789,701,571,669,086,027,074,069,272,355,060,
259,963,089,040,383,701,822,148,584,386,430,883,659,354,506,669,060,880,379,
785,281,160,578,482,238,672,992,151,352,651,200,091,351,108,318,613,650,734,
509,999,176,389,428,656,591,500,355,909,469,029,756,808,234,024,899,585,792,
117,936,274,707,083,997,060,567,615,437,066,491,106,072,083,584,234,246,699,
458,246,197,306,601,426,883,181,467,913,837,546,417,580,575,319,391,812,748,
291,032,460,825,426,333,004,837,861,528,019,924,023,623,479,124,825,974,995,
842,791,658,513,835,909,082,982,936,775,855,861,722,668,354,549,160,051,924,
291,145,235,969,665,880,670,579,247,923,242,462,642,456,280,859,099,124,803,
863,274,910,349,270,147,941,308,878,275,315,900,475,840,856,382,620,435,404,
134,398,897,497,955,549,710,586,477,796,702,997,828,988,812,184,313,100,664,
312,848,349,625,493,088,129,718,627,155,208,344,797,308,467,191,496,357,258,
162,095,794,529,335,613,494,507,450,904,956,339,060,929,702,949,014,689,300,
243,917,653,084,902,927,655,214,969,454,024,135,784,396,689,295,264,167,785,
323,258,667,939,582,752,965,033,411,660,176,670,856,629,279,554,250,380,082,
218,556,839,948,948,762,202,378,519,460,965,307,700,601,531,344,533,797,739,
724,884,998,178,965,015,964,107,014,556,425,046,296,634,872,225,727,531,096,
456,482,790,685,494,827,827,091,637,649,594,352,455,518,674,930,972,894,147,
212,891,386,869,988,344,862,000,316,381,362,385,882,708,676,947,607,730,674,
808,246,153,938,474,690,722,568,067,868,821,994,338,941,513,778,127,486,187,
549,154,286,269,552,654,163,470,439,182,889,495,918,299,935,291,309,680,936,
842,274,660,788,019,161,892,587,503,419,540,950,700,006,213,829,644,339,713,
072,668,532,390,009,292,717,319,228,202,515,627,788,753,978,709,892,527,965,
980,804,440,026,203,446,092,927,849,965,113,696,466,288,007,320,230,417,223,
741,795,766,733,638,626,738,261,112,626,103,105,051,646,559,136,796,324,794,
349,697,372,247,357,779,755,327,075,475,547,300,059,783,868,425,532,467,725,
584,126,094,724,365,479,652,898,769,967,659,457,751,381,556,967,152,187,192,
211,530,566,767,686,649,277,623,030,818,678,674,330,060,857,392,158,817,798,
282,729,236,523,512,589,140,729,947,486,916,692,699,292,390,230,715,557,660,
343,935,328,480,729,362,063,819,053,597,150,450,815,020,638,365,204,032,969,
766,465,157,990,050,226,933,409,405,348,009,569,534,961,751,609,132,347,162,
547,560,241,204,355,598,956,403,217,506,900,969,288,384,048,939,630,221,740,
097,859,608,009,884,036,649,080,895,396,018,452,288,524,227,637,102,747,500,
995,679,756,967,627,826,773,317,147,606,321,269,390,340,358,967,477,790,731,
041,909,367,825,549,580,614,313,892,695,657,657,326,297,401,869,624,658,609,
577,136,519,661,047,602,623,659,428,969,034,786,530,936,320,868,684,119,668,
332,291,064,854,748,969,076,617,791,273,103,840,755,413,963,186,389,613,635,
247,383,639,404,166,927,444,625,526,329,826,260,287,663,258,562,865,037,522,
612,275,208,500,676,125,530,194,726,029,776,727,501,613,076,042,038,637,256,
035,762,502,743,173,279,003,172,736,365,974,283,801,101,691,103,541,965,247,
343,259,388,166,379,105,649,771,525,949,260,122,617,226,373,011,321,496,918,
667,278,175,109,839,723,141,025,738,885,969,883,287,440,582,231,589,669,718,
011,039,101,686,931,905,228,514,892,563,260,631,071,236,389,330,298,474,950,
980,581,940,230,626,638,300,685,105,626,178,963,644,110,459,725,682,212,827,
640,723,270,822,638,698,759,890,757,458,756,659,923,870,499,617,800,110,639,
556,657,685,201,354,627,818,035,891,755,170,934,221,657,714,334,945,842,607,
678,711,626,982,620,518,819,384,694,145,156,806,893,767,475,599,433,761,897,
085,043,572,952,881,144,864,407,830,345,505,854,720,678,824,517,046,493,554,
386,101,796,131,954,458,678,359,935,576,418,118,756,521,675,852,920,716,524,
995,188,691,386,220,896,008,501,805,481,678,812,299,325,447,271,219,865,533,
029,283,938,805,878,994,692,015,381,101,135,484,675,973,605,831,315,575,952,
849,949,116,525,823,343,615,820,207,081,123,772,446,028,134,965,688,655,192,
349,606,767,288,387,385,881,652,700,221,454,899,274,112,096,340,796,289,099,
696,675,414,353,090,441,020,626,976,004,353,076,448,734,406,200,135,487,066,
341,104,636,310,738,093,637,220,705,333,886,585,396,404,592,780,755,130,644,
039,380,042,712,848,597,268,333,065,661,071,021,637,171,634,603,397,223,387,
994,145,153,628,808,325,928,047,522,462,266,976,392,884,660,119,532,264,406,
527,131,657,647,907,968,867,470,816,561,544,300,289,990,504,894,564,134,360,
711,353,311,682,287,228,533,585,588,938,357,045,267,889,359,918,746,277,662,
907,721,125,641,694,915,484,663,952,876,117,170,027,954,218,075,359,796,744,
587,662,354,353,857,882,848,115,495,277,111,566,903,928,264,309,776,526,688,
252,415,671,924,407,654,341,775,270,932,663,820,670,747,613,012,929,302,129,
998,254,827,279,893,018,898,086,799,517,071,283,108,821,244,730,627,900,101,
521,130,702,817,554,384,221,134,218,114,643,958,994,756,297,686,431,831,171,
338,877,981,158,482,232,163,662,221,792,957,171,089,484,188,650,763,408,248,
665,360,028,897,569,145,240,281,928,335,403,995,145,306,167,726,665,692,456,
290,603,830,918,380,231,874,359,700,318,232,245,554,449,763,820,743,815,107,
869,834,156,994,957,685,544,794,457,101,262,805,115,799,864,367,250,403,992,
687,825,128,775,822,946,264,031,063,950,154,279,326,082,049,874,888,118,605,
171,035,702,633,476,609,461,156,709,297,410,430,575,268,033,071,993,918,535,
217,991,956,809,138,758,465,109,397,097,410,585,706,697,298,037,277,347,444,
844,558,964,693,456,413,576,301,066,085,037,140,213,256,392,972,052,697,447,
733,024,396,014,434,874,680,164,080,736,903,402,253,171,469,300,919,596,941,
775,866,649,419,756,219,219,287,704,912,897,456,962,918,111,153,797,294,185,
079,342,706,979,126,175,939,355,296,683,047,194,675,360,253,721,802,222,308,
732,470,724,876,565,598,836,918,708,366,801,636,905,250,015,089,633,308,866,
947,814,373,552,328,174,905,804,310,370,715,133,179,177,740,105,295,858,760,
967,612,234,808,038,561,756,725,665,407,908,440,272,802,600,133,067,691,313,
897,412,860,534,681,001,047,780,343,919,198,636,655,836,287,279,586,786,108,
107,159,373,756,932,783,661,046,915,588,704,039,273,330,469,015,176,691,847,
972,958,623,195,684,275,194,266,169,408,238,731,366,980,572,641,330,335,904,
214,286,692,772,253,636,670,468,093,076,232,180,689,064,403,196,543,941,991,
950,014,079,198,601,233,397,734,261,331,767,223,858,956,477,687,972,381,710,
709,144,217,244,899,039,058,154,363,400,974,760,886,492,208,842,689,608,866,
200,061,896,412,301,983,995,021,195,653,170,711,397,006,835,354,915,993,714,
465,058,419,656,422,644,804,623,175,543,132,059,969,573,512,456,610,268,461,
539,540,627,460,000,046,672,415,577,664,574,028,098,742,250,439,779,850,906,
425,829,729,538,291,247,339,698,211,252,967,236,485,508,820,400,447,820,602,
421,338,623,224,582,538,984,265,868,330,552,097,515,461,029,907,084,285,418,
438,440,224,961,379,978,839,934,638,562,124,151,208,401,503,232,434,443,973,
326,253,015,476,353,278,892,372,428,426,400,136,494,002,076,420,084,468,210,
388,753,774,102,999,949,530,620,055,531,677,179,504,617,223,769,908,756,930,
720,048,217,459,681,770,398,156,500,433,702,290,605,585,086,331,198,395,312,
906,335,864,418,484,401,049,202,364,770,249,073,300,294,703,023,148,621,760,
026,004,064,573,386,462,120,677,342,732,295,796,930,276,276,980,844,071,399,
070,977,680,785,975,699,130,178,452,037,873,888,489,350,456,713,543,873,966,
829,311,158,847,125,382,866,073,215,606,649,163,014,561,301,911,072,607,427,
383,180,657,757,715,536,830,183,342,546,606,577,148,679,217,049,270,710,381,
252,404,651,371,639,427,163,424,376,159,866,831,319,808,924,190,288,109,331,
838,300,147,766,668,065,853,065,864,811,561,246,929,756,389,211,016,827,186,
388,193,954,963,601,274,753,887,203,229,938,711,617,778,599,646,656,319,063,
033,838,733,375,207,779,766,537,363,978,317,749,288,927,307,898,855,506,269,
476,409,555,038,726,528,308,574,595,042,632,469,040,889,812,559,294,095,660,
833,092,565,366,666,542,773,805,007,732,557,069,632,681,194,787,557,082,444,
105,727,510,980,343,378,234,623,240,974,366,559,857,610,713,547,626,380,001,
155,775,377,088,527,103,141,898,603,207,339,253,137,957,146,092,862,094,615,
833,820,305,517,984,857,149,189,566,520,536,444,738,987,175,330,533,745,608,
178,238,826,407,976,756,238,931,597,385,435,403,370,146,128,092,206,201,889,
553,042,930,685,424,547,205,193,408,485,505,110,976,210,593,494,373,679,092,
927,345,549,811,474,153,050,445,899,800,713,291,333,906,085,922,899,977,870,
777,133,634,248,264,963,649,337,360,484,280,854,668,823,716,894,289,364,483,
629,950,844,388,088,663,446,685,025,540,666,629,959,281,911,670,607,317,521,
615,328,323,005,084,603,151,000,721,944,452,436,708,076,710,064,345,653,214,
351,965,282,092,560,495,676,928,228,336,191,328,194,297,179,778,267,099,249,
699,940,347,437,632,507,121,312,552,526,789,278,986,833,457,584,118,363,072,
779,032,257,703,944,060,641,891,909,556,472,101,084,637,560,283,680,456,808,
744,736,726,507,205,977,402,440,233,688,655,962,085,259,033,342,411,575,891,
441,107,931,734,229,433,214,728,365,011,851,925,637,254,144,266,743,997,823,
107,747,477,549,519,255,557,267,250,521,935,682,609,567,926,264,150,341,393,
530,698,736,364,843,010,712,944,740,968,216,298,418,514,683,913,529,792,539,
334,348,770,466,568,010,310,195,878,270,526,291,859,514,264,039,079,853,484,
697,001,735,996,857,910,505,361,418,528,791,353,723,715,693,780,229,202,513,
986,115,803,723,160,327,401,738,068,529,754,629,231,305,322,966,587,212,746,
764,384,772,608,694,033,854,406,362,714,137,533,311,923,340,906,119,940,907,
836,313,616,964,587,673,196,309,964,438,169,472,991,321,384,425,674,496,312,
458,665,475,897,147,544,063,353,352,539,221,133,638,463,888,947,847,675,110,
178,404,634,278,555,276,919,737,756,320,979,826,934,207,327,985,885,034,541,
567,300,620,424,850,322,730,947,642,998,612,424,795,935,845,551,526,468,111,
978,903,394,108,313,095,450,597,405,568,173,922,552,725,153,468,563,797,431,
581,857,670,678,427,599,320,608,148,520,567,472,093,353,448,608,100,426,931,
888,607,591,460,485,312,209,571,669,773,442,222,089,501,348,532,003,150,616,
091,853,458,446,198,132,518,687,326,929,092,009,687,390,933,963,367,817,045,
560,742,396,097,381,668,598,736,339,421,917,457,330,879,469,201,213,339,504,
658,101,374,989,619,105,431,785,070,265,365,626,507,181,408,832,195,167,042,
686,138,828,938,616,661,013,230,514,116,388,352,891,591,652,952,576,093,533,
245,396,339,118,326,251,847,507,297,915,860,179,620,541,239,243,100,569,041,
182,134,143,242,544,651,634,874,529,107,428,833,794,179,297,573,917,066,282,
886,506,229,187,167,469,949,026,994,804,150,911,467,774,433,797,272,072,791,
202,872,429,308,347,338,842,655,191,359,387,217,145,458,268,851,950,608,808,
576,056,048,100,276,124,165,157,758,610,327,344,310,672,736,170,546,536,215,
353,545,403,437,420,844,701,425,419,983,126,241,059,922,750,512,641,897,845,
098,481,684,138,469,260,137,264,048,392,902,739,383,109,137,515,747,633,617,
411,400,014,315,330,851,616,611,609,314,462,154,293,432,130,058,757,551,736,
542,647,524,751,582,161,753,961,383,973,842,231,270,690,185,747,394,257,384,
510,425,049,679,795,302,631,150,712,716,105,709,715,317,695,953,566,948,215,
580,921,703,602,885,654,768,025,560,299,389,889,983,307,452,825,499,666,250,
381,856,721,623,236,443,040,141,014,159,550,920,157,731,707,651,288,145,556,
129,363,840,330,016,952,580,229,408,539,936,773,764,384,452,417,614,037,549,
275,053,586,062,486,423,169,686,004,671,030,046,379,558,650,703,855,146,913,
735,920,744,124,117,291,686,759,714,874,136,697,320,452,351,718,917,271,941,
861,385,745,332,759,073,151,551,045,550,238,747,086,734,720,973,744,316,570,
865,108,815,119,065,007,978,723,008,102,873,681,893,719,057,948,725,915,040,
243,523,901,049,262,002,742,301,680,422,867,541,270,540,101,805,765,867,221,
787,907,254,648,641,688,526,437,343,185,863,373,478,283,934,737,581,941,566,
616,884,394,510,403,271,513,550,243,893,440,841,843,432,876,909,276,067,593,
475,146,256,163,526,740,658,049,697,685,741,391,415,107,429,405,706,014,353,
437,087,149,219,428,530,446,774,533,873,026,821,231,068,601,203,866,709,997,
032,096,762,600,337,851,653,013,886,227,678,618,792,239,422,502,987,249,195,
818,422,695,871,012,514,157,297,037,697,815,410,677,838,500,687,326,745,919,
285,494,828,340,030,439,810,354,343,775,244,376,064,144,934,262,401,433,203,
993,849,019,307,610,745,798,582,473,522,830,011,746,901,487,207,920,658,322,
136,823,493,360,425,715,224,912,873,771,750,725,601,257,814,251,522,463,475,
532,244,302,495,646,360,742,381,071,818,052,638,506,543,177,107,952,603,475,
337,077,119,910,291,623,342,427,590,062,228,078,629,484,318,680,882,521,298,
769,169,061,182,935,448,357,024,606,186,813,284,944,213,815,306,632,510,516,
952,408,291,349,484,876,072,256,085,014,493,824,861,077,491,538,057,192,831,
514,894,979,710,127,218,554,306,675,128,303,536,501,299,693,198,323,001,377,
402,933,462,620,277,069,179,676,126,600,954,541,773,380,583,225,564,673,684,
918,809,954,414,755,183,617,297,279,680,632,688,056,933,860,871,612,117,565,
039,671,892,257,887,568,035,196,661,291,118,337,937,377,845,301,319,612,919,
664,178,161,371,293,659,297,783,520,786,833,874,437,487,582,282,235,915,993,
097,323,241,399,156,419,669,377,210,193,295,327,586,538,670,693,767,883,038,
605,201,311,843,718,228,205,781,315,905,027,668,496,636,761,236,765,799,094,
514,443,549,059,517,456,540,533,219,596,693,198,913,769,873,168,993,428,544,
430,081,280,372,285,066,260,362,585,305,417,532,682,132,037,632,076,015,851,
490,295,194,488,953,643,502,415,973,611,334,600,850,988,131,165,667,161,454,
939,089,857,133,488,672,365,772,566,924,524,213,531,046,289,259,041,608,169,
702,645,387,261,551,789,042,350,728,823,647,920,664,984,104,475,014,350,854,
760,371,007,678,757,199,510,573,001,747,602,352,872,081,625,128,075,973,366,
162,973,194,898,307,865,031,949,816,321,175,659,533,512,659,191,973,732,120,
519,622,231,302,759,820,777,450,180,438,839,796,534,665,410,644,998,269,514,
951,489,012,225,054,302,422,846,226,629,452,882,943,486,077,387,500,351,957,
507,310,868,704,858,529,378,183,467,757,492,786,438,044,683,052,181,580,494,
795,337,564,058,094,084,163,332,037,495,011,465,800,063,171,624,027,259,949,
379,649,258,239,860,154,929,735,356,886,018,399,542,426,339,182,229,944,017,
820,552,001,597,421,077,495,609,851,811,099,794,481,455,754,714,337,913,825,
385,086,731,129,104,927,793,408,240,534,046,697,843,249,477,785,443,989,575,
732,009,200,198,409,623,533,800,815,498,294,722,691,299,077,345,374,180,177,
417,809,320,863,980,399,038,006,913,245,950,892,659,924,431,609,322,482,488,
964,898,125,125,467,588,149,265,488,389,248,287,034,442,924,441,429,273,351,
588,125,551,933,846,603,775,659,296,580,633,272,642,600,951,781,810,059,165,
540,364,298,175,792,849,721,747,230,377,376,605,360,030,394,502,192,449,771,
607,987,948,631,321,318,967,880,766,990,912,136,392,751,366,086,431,691,235,
745,427,947,353,783,193,271,392,853,068,676,875,464,589,223,678,260,599,285,
185,979,029,532,343,157,698,808,799,868,030,643,430,378,164,947,733,188,606,
661,657,605,507,282,657,852,099,408,092,387,145,125,786,063,880,307,284,979,
491,981,794,334,227,022,197,804,773,653,748,998,578,204,183,951,587,842,468,
812,466,986,067,748,479,335,718,328,077,413,645,367,612,919,917,272,198,838,
624,921,843,433,884,253,937,566,329,557,731,782,682,149,509,276,271,036,141,
372,024,680,358,589,023,341,234,981,776,021,620,798,366,072,049,211,414,927,
208,907,377,208,251,102,122,504,623,726,674,911,415,938,829,178,745,478,339,
294,101,051,315,438,228,582,678,519,782,775,682,642,459,996,956,501,669,639,
116,023,666,211,236,816,753,312,560,625,026,846,559,857,253,189,256,621,413,
294,486,288,520,882,589,648,331,641,082,798,989,899,634,734,374,237,478,266,
009,738,224,348,334,766,992,006,592,511,943,803,147,820,995,502,636,411,197,
159,675,919,094,030,723,350,483,144,606,144,836,180,694,714,863,363,993,584,
856,098,423,498,769,807,282,707,765,713,362,372,471,225,811,736,219,998,288,
513,024,564,978,103,151,336,865,833,998,983,319,454,088,197,635,932,818,471,
041,232,954,578,945,161,909,432,615,101,102,015,455,819,598,985,456,202,001,
769,991,514,161,411,527,427,074,605,069,064,200,265,237,706,354,705,590,504,
832,047,787,983,720,335,813,722,164,637,834,498,192,935,821,294,059,078,572,
387,073,497,474,367,982,792,930,564,675,387,812,248,727,438,576,053,171,508,
618,314,130,777,655,343,809,364,679,982,168,952,847,741,142,557,019,531,692,
928,188,265,674,729,420,635,915,364,997,405,256,709,235,031,746,831,385,254,
706,740,068,152,505,838,344,910,442,479,858,229,419,478,078,143,447,953,360,
297,535,854,535,188,033,632,976,662,489,052,441,135,479,580,011,510,497,646,
858,355,107,923,210,698,495,939,081,984,993,618,119,318,411,879,314,358,947,
293,968,386,783,844,693,543,474,124,469,350,968,142,583,979,989,117,345,095,
876,084,059,268,756,003,972,165,432,189,585,229,074,709,615,927,787,517,485,
362,261,172,748,197,436,373,493,621,560,168,871,210,407,167,399,468,217,070,
898,556,986,040,119,139,332,612,280,683,737,807,298,703,005,354,526,849,525,
979,904,197,075,074,964,173,180,037,490,112,455,395,945,569,869,371,677,189,
663,820,635,627,069,698,358,170,804,121,000,794,874,094,128,023,869,208,800,
034,851,663,355,489,940,138,228,831,423,203,360,089,164,567,317,671,417,526,
752,880,843,301,543,517,284,852,930,454,657,326,174,541,485,817,894,523,453,
208,414,983,453,199,142,214,886,424,747,234,199,224,719,292,944,218,865,120,
303,697,181,563,793,733,220,133,298,503,058,676,228,999,962,797,660,753,289,
035,170,078,138,392,487,203,893,404,809,268,855,882,369,404,680,385,843,919,
707,545,189,842,708,789,932,906,023,025,879,518,906,399,954,625,788,769,998,
125,714,421,324,775,535,993,143,765,733,847,959,484,844,047,983,262,669,344,
526,912,107,072,590,782,038,723,183,077,333,513,973,315,572,233,347,382,822,
748,353,842,427,002,053,535,044,072,956,525,263,760,082,423,115,524,616,963,
159,077,069,989,641,905,547,327,782,487,326,403,567,458,733,235,984,909,774,
206,125,419,418,666,650,730,096,260,358,736,044,227,719,026,057,356,651,203,
919,460,173,600,356,744,544,683,619,653,160,638,166,340,873,670,428,820,673,
055,902,134,354,768,428,233,504,575,866,944,162,561,095,362,754,540,059,260,
566,951,511,859,427,604,345,881,286,449,927,512,074,356,663,412,870,955,260,
264,211,874,072,751,379,163,959,330,199,448,998,393,506,675,845,837,438,495,
835,610,160,726,046,367,069,251,117,620,632,462,073,576,092,580,502,855,100,
396,413,679,072,242,127,217,345,797,792,396,429,135,257,595,409,032,201,980,
341,389,476,893,485,223,320,781,608,468,586,550,526,870,988,168,999,984,527,
347,011,773,443,902,296,008,609,557,839,944,983,078,339,168,049,275,861,573,
149,099,543,884,651,261,898,780,145,117,169,249,319,911,722,503,831,290,891,
072,651,629,317,928,462,402,499,414,582,823,291,557,286,570,288,915,466,558,
674,532,212,309,703,085,971,557,990,278,062,304,389,347,367,698,443,010,317,
772,239,058,929,759,658,748,763,696,064,324,691,030,048,664,073,264,169,657,
557,404,830,305,201,539,900,072,732,725,640,914,748,563,794,345,044,188,586,
557,468,776,479,795,008,139,288,446,216,186,608,186,836,394,453,203,544,187,
198,221,619,944,029,479,700,315,275,516,455,816,043,386,977,138,648,682,709,
932,038,211,267,513,687,927,132,239,878,599,489,034,091,486,799,304,057,912,
577,572,296,657,445,901,801,673,690,725,170,252,691,639,334,013,121,247,814,
073,159,186,310,957,825,410,244,728,109,050,890,914,753,371,193,059,862,758,
549,983,640,786,382,260,108,443,257,820,037,693,422,208,385,884,323,344,812,
850,052,974,172,977,218,284,013,559,044,888,518,354,825,442,343,622,472,894,
918,460,467,214,255,048,683,821,047,838,355,946,957,791,430,431,530,579,322,
856,430,994,208,327,835,620,700,641,225,157,111,965,488,775,498,686,772,995,
366,361,273,490,430,593,708,423,073,346,155,750,380,442,358,124,839,902,649,
811,445,393,601,271,964,424,614,431,771,758,873,572,559,052,537,127,852,159,
827,886,313,304,815,631,296,539,360,673,789,399,356,329,799,062,479,495,274,
884,261,982,985,311,289,437,369,397,166,635,116,270,112,642,505,582,849,724,
239,322,524,754,005,372,240,888,138,380,527,872,415,810,583,057,461,575,444,
193,259,904,852,494,836,715,653,593,156,555,195,764,354,517,999,979,944,475,
202,655,842,184,474,647,210,424,961,065,070,906,035,384,123,138,633,660,179,
593,026,685,695,402,664,326,762,905,734,909,311,286,778,142,067,993,523,220,
676,963,367,822,863,251,172,133,753,028,055,502,572,305,776,467,016,684,147,
521,499,873,933,640,381,074,377,235,767,712,659,215,303,557,846,133,279,154,
923,662,991,799,249,685,008,119,999,377,549,176,398,713,396,298,344,262,908,
526,446,550,081,081,622,593,893,999,870,650,451,692,373,712,020,117,798,000,
212,560,726,772,207,011,497,843,195,630,242,118,609,999,481,741,167,547,226,
619,182,206,139,570,605,611,738,709,066,580,798,551,194,011,050,799,970,118,
864,493,890,220,476,863,859,324,184,334,390,458,767,046,799,686,179,902,377,
153,279,144,856,117,661,001,887,331,141,711,682,331,552,047,785,716,573,347,
498,545,493,758,990,250,811,967,240,135,634,185,841,292,353,746,471,197,670,
062,282,969,568,124,018,794,468,559,620,649,276,610,483,884,080,271,778,194,
280,064,929,686,865,894,223,450,725,171,552,209,857,155,184,958,817,162,597,
083,081,128,173,270,622,335,259,444,984,565,112,075,060,047,370,342,438,555,
257,902,343,517,398,742,825,103,723,727,145,887,369,442,861,536,080,473,595,
125,338,145,130,672,077,681,662,522,106,322,029,253,618,138,182,191,224,660,
374,823,841,091,950,500,152,058,521,662,502,595,509,697,503,395,001,734,442,
032,894,683,160,370,331,768,684,990,562,239,121,390,344,116,851,575,401,532,
971,152,014,872,655,036,524,372,857,301,491,222,967,555,483,325,578,291,549,
473,527,498,851,043,879,115,990,137,372,564,713,258,096,733,734,595,742,494,
075,560,995,042,715,059,525,515,241,662,982,140,091,829,781,064,624,085,699,
204,445,632,229,711,703,196,646,460,050,668,467,192,152,925,887,700,656,011,
134,372,560,309,442,988,538,099,285,278,608,424,644,888,962,195,359,318,536,
143,392,346,753,065,797,617,458,853,273,793,459,203,252,843,667,086,126,719,
022,940,939,974,821,775,687,934,859,282,745,339,837,182,840,751,676,311,658,
188,380,784,753,547,451,663,449,827,556,404,826,680,169,511,956,776,004,108,
571,394,946,917,282,956,243,114,775,175,054,411,296,146,746,720,212,856,940,
694,331,129,663,076,538,516,744,242,862,893,347,218,698,205,862,224,000,248,
569,490,145,112,093,087,465,621,566,531,974,635,398,779,671,403,290,391,756,
090,353,961,547,399,158,075,738,191,746,295,887,961,302,018,532,785,911,482,
632,242,197,001,536,139,764,505,315,549,708,873,447,213,211,791,470,539,640,
238,425,268,282,741,943,029,502,721,622,133,271,025,364,014,791,656,858,219,
128,825,925,788,256,050,712,560,120,831,488,316,279,027,950,308,559,166,154,
815,875,610,884,002,609,835,885,575,689,137,863,722,750,100,557,279,572,207,
926,001,763,905,584,136,010,678,380,923,393,027,951,399,075,210,232,649,849,
275,691,153,088,959,547,225,855,760,231,450,049,942,834,951,615,401,851,386,
286,348,346,805,634,027,233,915,571,302,516,185,907,798,533,166,335,925,582,
010,344,637,432,485,842,374,821,763,021,748,992,878,189,285,469,502,636,326,
460,119,056,785,688,963,562,239,338,840,069,783,031,662,639,376,971,041,363,
089,036,608,322,771,625,633,363,678,946,772,385,121,834,202,834,897,778,331,
838,651,776,610,197,730,428,616,522,732,595,704,582,995,108,079,793,032,764,
217,196,344,558,397,134,509,617,787,065,999,784,745,528,072,303,724,129,265,
951,435,702,451,223,232,328,431,136,880,160,057,112,427,990,350,550,812,338,
545,554,586,471,606,392,619,837,010,497,964,907,469,227,114,312,733,230,547,
639,261,696,827,979,254,681,433,192,788,054,053,462,124,801,693,702,544,928,
353,892,850,908,709,669,786,161,245,562,395,644,670,685,595,522,249,822,431,
102,880,157,819,714,042,302,477,132,157,251,566,090,331,327,753,505,813,506,
168,125,810,187,630,819,597,665,133,952,625,477,459,279,707,178,674,639,140,
410,453,053,638,639,100,467,173,827,268,068,993,817,853,813,380,804,342,356,
976,963,965,768,063,360,406,130,951,520,575,589,548,007,891,110,241,517,352,
744,839,917,041,484,658,276,658,306,736,221,348,373,917,412,382,268,810,547,
669,361,920,163,015,064,897,898,230,023,532,573,410,321,022,934,733,922,327,
245,746,355,803,365,120,887,747,417,030,287,197,314,756,091,619,169,803,487,
325,747,076,215,956,912,593,875,297,954,281,857,434,911,037,168,104,407,376,
382,316,891,480,988,380,284,784,194,735,192,668,532,824,381,728,457,565,226,
662,608,208,157,522,925,492,620,739,322,097,747,208,516,007,232,337,383,676,
706,286,770,238,267,401,113,567,358,203,987,507,153,150,673,717,195,593,139,
471,180,484,052,897,881,883,346,362,815,516,922,306,545,968,210,567,167,723,
920,382,241,778,583,985,892,515,026,088,967,259,484,618,167,932,052,843,493,
906,420,820,612,397,339,619,256,192,539,589,282,892,310,395,500,738,724,423,
034,950,078,487,041,168,801,549,592,737,613,405,927,417,390,105,935,440,630,
633,493,227,291,615,132,765,604,773,289,437,714,444,491,766,667,626,223,256,
849,794,436,684,568,967,730,403,521,031,969,280,375,287,484,421,978,586,861,
723,929,983,884,571,109,674,877,803,796,121,358,789,491,251,923,364,115,993,
420,888,924,232,212,724,751,127,336,055,669,071,700,672,521,849,979,635,259,
339,322,348,114,322,397,430,920,879,014,539,457,677,077,964,911,018,434,259,
705,880,797,372,465,760,677,835,003,304,513,620,658,294,632,268,599,033,684,
531,751,385,552,653,591,204,605,716,411,757,165,439,513,742,309,271,249,715,
084,136,484,596,299,330,099,790,997,924,965,442,962,107,893,924,601,459,967,
019,481,463,975,051,754,363,732,525,571,062,413,655,319,032,950,943,226,595,
134,765,652,326,461,436,798,791,128,775,345,741,927,989,306,808,727,112,450,
874,730,734,000,005,700,399,592,360,293,068,766,209,684,776,263,256,252,735,
279,329,245,597,284,754,790,615,657,348,520,545,452,535,879,828,016,172,662,
922,764,369,841,540,495,805,989,097,537,183,639,368,020,482,297,414,521,391,
579,728,538,439,801,124,589,696,886,096,563,587,784,180,152,353,520,268,192,
858,873,308,302,255,864,805,993,802,030,866,812,100,259,745,468,663,291,225,
110,879,398,695,022,953,350,933,967,565,855,163,009,615,990,976,768,224,711,
230,821,229,470,457,595,277,883,896,255,647,694,170,040,239,337,604,464,251,
586,436,897,955,538,487,563,911,110,502,592,816,877,768,556,032,008,210,867,
445,347,698,297,550,460,601,097,542,133,285,359,086,974,962,164,374,645,978,
550,256,007,120,115,365,498,506,481,564,059,178,560,641,811,017,115,942,944,
053,480,504,311,821,913,847,313,574,609,877,998,812,359,530,567,484,729,046,
323,446,570,383,342,029,306,991,917,403,921,903,667,478,979,808,754,326,232,
075,238,253,574,249,063,994,209,644,215,590,146,783,573,182,821,431,861,237,
926,386,085,195,426,044,206,267,501,396,744,419,743,630,500,452,915,564,518,
885,704,656,145,238,169,950,578,328,706,372,634,835,051,940,551,905,688,891,
638,503,063,960,401,710,630,038,915,746,919,800,003,262,651,918,658,933,783,
234,502,738,475,529,102,715,891,836,586,560,797,658,091,655,623,231,706,318,
754,373,127,853,203,063,965,541,778,738,069,637,795,612,126,425,565,155,742,
285,879,551,146,664,239,002,444,476,257,627,386,772,721,264,976,933,777,495,
226,888,770,481,783,256,165,025,389,900,790,278,390,400,945,105,712,717,415,
776,665,406,524,019,058,267,358,621,728,246,367,468,486,746,130,749,691,898,
223,955,389,412,494,324,332,363,630,815,024,804,501,168,730,064,203,423,376,
929,957,307,416,363,924,246,746,117,385,077,431,237,076,815,015,103,679,003,
368,756,014,186,672,549,689,066,962,003,139,448,997,000,458,130,251,245,065,
231,410,327,738,421,265,728,929,723,404,903,880,757,150,333,793,962,976,033,
954,802,618,584,627,032,349,473,724,434,783,967,525,234,304,011,227,976,377,
090,122,255,251,966,884,948,325,267,659,838,023,699,422,976,267,815,238,737,
869,719,411,989,319,935,444,752,156,209,531,429,635,982,224,910,816,283,972,
744,571,492,747,567,378,124,810,322,267,700,310,722,752,192,919,721,283,457,
396,160,053,193,200,428,738,192,096,648,824,045,777,749,074,316,065,301,496,
946,423,632,606,895,332,829,919,738,820,683,263,093,689,444,848,545,380,857,
855,191,893,500,910,990,337,354,154,533,181,180,502,464,647,524,894,629,989,
067,781,317,711,507,378,110,070,765,171,934,474,618,577,979,987,411,019,610,
345,047,517,060,652,295,871,505,061,420,134,113,887,174,194,465,192,377,007,
663,530,634,203,225,895,953,926,526,206,069,313,155,850,235,853,478,457,580,
945,350,503,933,174,158,772,571,557,906,639,963,636,378,867,294,600,763,286,
811,078,988,475,461,843,995,311,341,401,834,257,067,051,785,486,630,329,235,
859,790,104,459,744,744,101,850,429,228,318,343,975,742,565,639,504,062,021,
469,969,500,260,034,827,393,823,076,265,391,666,334,334,999,551,834,760,657,
614,469,714,751,192,305,869,413,796,085,179,124,251,925,928,488,490,763,554,
273,820,163,188,310,510,620,656,640,745,751,078,712,298,111,807,344,853,140,
069,893,569,599,983,462,101,044,810,654,712,473,313,794,078,280,583,205,998,
640,862,444,151,442,924,077,065,350,250,949,516,278,825,064,555,023,061,547,
818,307,918,650,940,594,960,050,836,912,005,441,527,335,025,731,394,794,404,
791,807,997,303,068,113,197,595,471,341,398,102,832,319,376,908,634,324,450,
744,266,542,465,316,952,104,768,308,082,873,355,570,829,647,644,939,405,475,
949,544,706,002,721,948,613,193,177,676,016,714,421,572,547,433,007,515,960,
630,630,807,219,161,220,245,788,719,751,116,438,408,879,514,947,632,310,225,
178,526,181,271,521,905,393,620,618,510,785,493,104,318,785,306,198,483,336,
427,007,634,616,017,567,795,263,977,765,793,558,912,940,473,904,549,441,963,
830,644,245,694,114,722,038,016,254,788,392,016,844,142,669,119,485,604,064,
229,985,572,770,990,121,431,848,384,259,051,981,321,361,189,136,716,562,527,
914,924,051,569,996,661,389,245,396,616,547,375,397,130,977,281,488,076,675,
403,566,625,297,737,062,450,481,039,115,778,690,298,181,169,953,157,500,701,
166,118,842,948,340,389,441,690,412,948,953,802,084,718,941,309,373,899,277,
901,990,256,554,783,619,758,268,818,709,911,181,075,452,282,048,062,628,020,
547,324,224,482,161,438,897,070,274,791,215,608,077,282,969,164,961,978,465,
722,256,377,407,249,512,357,769,815,337,143,174,420,960,590,700,656,745,077,
324,159,546,386,658,466,005,866,187,009,133,328,331,931,367,731,449,598,402,
638,628,493,448,644,747,947,882,716,337,790,978,739,130,199,657,320,851,497,
227,557,598,268,788,310,472,302,627,639,628,805,698,840,104,611,787,270,279,
311,343,934,918,843,863,827,798,314,516,600,028,938,232,958,708,526,672,018,
311,290,282,261,228,480,874,550,054,957,190,059,717,803,974,446,033,018,537,
915,945,950,795,772,541,250,173,818,617,778,788,013,591,802,701,259,889,311,
228,218,217,136,153,480,387,894,166,303,093,265,764,450,063,579,851,035,200,
084,132,445,396,733,376,730,239,097,215,048,518,546,892,211,966,229,532,325,
636,846,603,304,577,743,564,529,692,000,923,157,507,674,207,126,158,123,932,
163,861,169,530,306,190,555,787,605,347,129,793,605,754,057,641,738,228,703,
762,720,165,882,856,059,787,780,821,580,328,428,140,566,875,777,842,324,310,
457,299,500,332,219,888,365,838,919,369,446,631,072,059,550,316,481,400,074,
835,975,951,061,152,083,364,294,476,170,236,117,901,918,309,243,809,400,669,
424,697,232,994,287,220,513,050,915,309,263,078,421,445,304,548,998,300,480,
873,505,857,798,294,521,352,308,017,342,572,062,844,185,068,042,726,188,707,
901,216,442,211,461,146,924,861,676,638,563,090,369,903,954,511,937,891,447,
159,796,546,704,264,169,131,332,920,268,243,540,789,913,226,290,115,147,406,
965,458,833,128,907,068,856,014,932,143,083,059,980,233,305,378,240,301,278,
863,489,115,584,397,629,103,977,367,880,202,282,890,279,394,635,889,615,731,
939,246,490,352,150,914,951,791,508,946,938,882,583,688,664,349,167,845,108,
878,888,330,422,121,688,239,761,745,589,580,755,966,577,239,837,986,753,668,
000,074,829,670,053,777,066,223,937,344,180,323,147,002,972,712,216,732,606,
510,125,153,104,035,499,299,161,556,325,167,190,625,892,556,505,169,244,984,
558,012,976,242,858,870,102,167,261,357,784,403,535,249,057,738,650,200,067,
659,565,564,383,704,798,205,676,985,597,946,423,778,666,461,611,532,330,422,
414,471,326,315,875,980,708,196,210,976,276,764,400,078,864,819,693,695,153,
991,552,179,812,948,280,064,990,645,226,381,158,375,483,585,246,665,799,832,
742,718,818,241,085,458,994,822,874,911,082,653,899,269,449,133,804,965,258,
309,748,018,976,784,446,595,613,591,451,730,762,584,396,515,518,911,118,463,
334,340,467,795,608,442,024,427,195,993,060,747,738,895,121,101,880,098,158,
773,687,412,488,308,989,225,000,212,372,269,646,883,445,212,530,259,933,035,
370,901,598,570,544,234,169,171,163,263,300,154,795,833,806,596,306,950,731,
784,011,871,230,276,600,775,545,481,055,819,823,732,917,673,941,022,102,458,
619,306,983,549,563,076,242,684,197,629,529,429,975,565,362,427,931,559,163,
377,814,446,197,348,562,972,320,905,098,047,899,940,043,686,235,072,803,994,
233,780,782,655,160,036,449,238,729,909,435,107,062,633,129,330,266,178,283,
382,431,053,441,893,319,664,559,611,838,256,822,811,590,844,367,756,217,796,
500,172,612,452,979,374,364,109,647,254,297,714,352,126,458,276,843,519,353,
175,374,409,002,478,967,382,645,377,888,145,428,868,189,686,022,807,112,482,
077,213,565,566,328,627,220,947,336,351,163,340,946,172,712,247,384,057,153,
153,718,987,330,727,443,109,695,317,066,950,751,534,155,491,958,266,723,659,
031,166,084,132,762,180,529,957,971,591,849,606,568,560,864,872,927,688,766,
039,103,137,789,972,714,765,833,962,066,713,523,535,647,229,079,216,564,330,
918,246,814,249,570,579,180,308,748,021,855,709,559,201,438,299,161,184,975,
300,510,366,753,834,843,019,511,248,409,486,417,060,406,008,023,984,404,024,
892,985,649,987,449,055,250,749,330,346,186,224,646,445,345,804,604,429,307,
765,977,997,471,753,798,016,415,872,820,255,839,574,855,306,378,115,695,241,
511,172,327,909,226,033,947,826,065,748,577,448,714,310,156,903,021,019,619,
604,640,838,189,562,033,366,202,157,799,317,275,301,975,768,779,301,503,824,
756,897,766,101,572,901,652,390,013,526,228,635,616,546,977,429,114,214,008,
533,619,027,778,820,141,265,074,209,674,398,401,497,781,882,116,497,143,197,
055,617,364,718,925,063,428,588,780,891,058,149,917,132,715,507,395,041,949,
495,165,910,917,433,864,263,368,534,100,612,642,075,785,537,894,621,671,755,
106,432,478,772,787,417,349,050,949,275,391,074,600,313,995,223,330,409,696,
235,800,184,777,813,127,449,321,945,113,634,292,432,074,277,107,520,192,684,
745,406,950,046,898,167,673,206,903,940,744,420,679,336,349,922,898,216,724,
390,266,952,522,925,652,197,598,547,637,195,351,478,412,004,607,961,732,240,
674,209,763,371,869,724,633,272,939,331,916,590,044,507,428,440,173,933,717,
966,707,970,135,667,134,581,167,062,658,345,235,073,969,807,588,919,776,531,
197,568,737,449,814,312,713,455,621,427,516,613,536,772,200,257,903,486,650,
630,732,222,346,293,279,205,103,675,841,093,482,859,312,444,219,101,877,936,
622,391,157,115,310,728,833,597,539,670,008,255,422,370,973,044,894,286,768,
882,791,352,511,916,169,071,111,749,901,890,333,895,789,535,538,806,190,770,
404,942,714,914,866,489,438,608,302,140,589,105,403,732,450,698,044,046,376,
341,779,348,980,678,322,839,944,499,132,423,123,997,716,827,669,670,783,280,
583,445,717,996,199,805,076,073,026,658,575,702,800,986,720,879,423,117,722,
215,111,695,800,599,665,133,510,314,684,253,501,150,985,484,164,700,267,357,
650,463,963,688,690,264,718,200,306,019,373,013,105,713,762,212,804,952,790,
982,141,780,440,085,865,543,145,795,445,030,164,640,979,190,323,814,770,627,
869,441,529,304,964,867,944,308,990,062,551,748,897,803,491,366,967,220,643,
719,984,640,032,900,762,582,710,824,887,234,204,452,929,433,958,869,276,410,
155,510,886,852,855,789,735,004,427,409,038,914,737,789,437,360,628,499,606,
906,128,493,026,607,706,144,894,742,436,046,740,801,648,205,551,535,934,534,
892,466,420,664,579,939,115,588,966,464,339,322,771,377,450,547,802,472,750,
211,662,359,471,683,341,696,172,697,996,598,836,594,409,216,359,872,773,765,
807,120,336,879,585,971,696,671,322,815,100,985,617,422,221,582,354,324,983,
981,608,400,474,901,154,718,741,474,663,479,810,408,335,793,807,910,246,964,
067,831,945,284,092,512,038,643,172,546,499,610,534,821,125,342,058,736,575,
338,111,494,406,312,184,635,917,613,578,228,071,371,532,837,171,745,009,478,
522,717,443,600,862,143,350,188,247,898,969,173,933,102,404,964,182,383,572,
156,560,150,743,920,550,934,702,370,211,488,697,441,492,156,037,891,800,262,
345,004,655,953,323,348,451,652,944,988,366,619,115,921,625,528,919,605,836,
704,241,922,751,072,856,601,262,714,201,726,062,877,390,663,270,058,945,710,
567,734,797,667,669,337,641,395,978,659,208,432,790,031,432,490,673,231,427,
707,162,588,715,546,028,989,986,894,400,769,917,761,865,466,676,705,462,369,
988,012,247,045,454,773,869,233,421,227,148,549,181,633,968,492,569,177,336,
396,451,182,476,272,484,080,946,760,403,534,654,383,124,674,272,641,215,806,
887,202,130,467,981,662,370,243,982,942,403,916,354,980,294,045,458,295,437,
172,220,027,170,835,830,424,822,128,532,623,021,132,932,290,571,162,611,079,
845,359,748,248,834,905,637,590,865,999,004,722,946,608,749,279,821,558,059,
454,300,147,916,716,559,229,212,967,294,350,274,771,712,338,904,107,680,081,
084,177,420,825,153,924,007,174,089,674,837,252,137,401,858,294,087,149,869,
107,867,939,931,127,303,785,365,928,861,913,423,738,677,343,112,100,363,403,
985,224,330,560,878,780,616,448,961,615,248,392,729,509,147,244,638,495,622,
267,531,699,952,153,571,586,358,768,790,419,449,659,028,164,395,902,852,288,
795,397,853,295,882,110,875,913,734,722,983,765,273,189,531,710,631,222,116,
484,073,062,194,167,932,816,547,625,530,989,857,034,465,263,146,431,024,780,
733,671,216,733,016,405,058,273,956,526,425,354,083,203,965,920,870,915,208,
845,337,677,956,671,544,051,492,479,017,486,325,347,980,597,009,695,066,404,
077,913,792,883,642,599,836,283,338,746,831,620,723,210,295,020,461,015,029,
998,885,999,267,854,956,941,257,892,514,661,332,356,944,613,234,291,973,464,
022,020,516,918,734,774,684,511,786,691,524,555,132,737,655,067,105,741,279,
143,751,723,822,883,635,578,684,504,398,669,848,304,040,605,769,637,178,969,
472,391,208,975,980,227,508,904,076,185,280,027,628,271,088,467,785,937,085,
787,810,440,540,444,019,980,949,183,026,126,615,731,159,341,151,999,580,401,
290,968,776,284,733,162,072,516,536,239,461,406,507,382,246,871,219,827,243,
639,139,319,703,932,388,312,465,678,317,578,872,961,190,654,879,985,173,230,
012,295,343,199,927,224,553,913,978,632,763,123,355,783,350,762,691,249,302,
215,025,404,312,910,758,857,961,800,172,994,355,267,059,456,847,338,145,764,
408,517,694,596,216,275,936,691,264,831,119,705,555,543,568,733,630,023,533,
379,107,543,880,720,184,630,616,101,823,886,448,536,665,293,833,092,365,559,
033,647,831,629,623,359,050,483,359,570,527,199,510,667,813,804,388,667,645,
569,518,535,211,192,755,123,656,566,386,225,835,962,466,990,353,270,140,419,
672,656,081,543,575,690,781,976,796,622,286,596,318,715,866,911,350,904,786,
331,298,245,613,601,444,368,300,528,140,011,628,085,867,860,933,151,124,166,
997,777,429,473,149,026,110,441,040,293,262,052,184,971,044,213,783,848,889,
009,173,255,664,851,486,440,960,056,591,797,524,309,657,038,607,064,393,531,
251,596,666,505,268,544,228,549,678,897,837,286,307,574,464,263,860,565,942,
656,081,017,353,272,800,908,726,951,232,923,566,766,185,344,157,079,752,507,
307,247,780,157,167,627,720,213,288,928,331,310,508,442,469,988,694,902,807,
927,321,061,192,183,181,449,267,105,939,608,366,552,472,076,271,261,761,281,
541,406,144,136,439,903,404,852,832,147,307,158,902,748,545,283,138,692,593,
898,109,173,335,150,842,280,970,233,373,589,956,729,253,417,772,153,017,687,
555,690,259,488,437,262,313,935,553,850,476,077,402,081,285,167,979,269,787,
037,937,288,947,610,678,532,083,581,773,509,426,738,562,497,758,270,139,947,
542,098,805,201,694,638,497,375,913,951,995,001,272,967,598,351,762,553,696,
595,225,437,079,931,380,872,557,920,387,116,172,162,984,114,792,288,979,049,
470,663,415,565,556,600,695,745,405,191,317,623,023,117,400,938,585,581,509,
640,820,189,486,942,902,749,580,645,026,672,508,886,422,440,572,182,929,644,
535,230,230,026,094,154,059,302,636,012,595,504,754,159,456,330,943,590,920,
176,436,853,982,446,134,248,162,221,610,244,598,408,979,044,220,402,342,571,
500,395,678,016,649,427,449,751,401,172,126,867,806,660,049,130,395,233,740,
748,626,346,410,688,178,175,044,170,536,424,153,145,607,039,039,637,846,750,
364,896,771,080,887,014,287,222,071,883,357,614,716,776,950,766,071,070,285,
922,372,069,878,261,210,784,084,710,561,049,149,026,982,294,516,320,490,867,
836,591,478,073,427,074,354,122,757,610,885,048,463,832,456,803,835,378,052,
533,334,604,828,709,552,667,940,036,642,113,249,444,795,944,650,023,886,326,
941,772,668,815,539,578,928,834,829,335,293,289,441,578,773,314,805,758,520,
066,502,547,226,541,690,456,941,185,455,150,004,801,106,547,046,964,707,099,
524,018,525,731,634,801,972,984,031,797,257,585,759,737,868,522,467,142,895,
749,394,964,605,194,186,586,168,977,498,063,457,189,621,953,790,678,318,525,
867,448,459,602,704,840,644,146,990,719,239,088,358,849,338,005,261,762,384,
283,865,685,491,606,623,671,966,466,721,041,538,640,319,609,229,320,113,947,
058,568,643,605,600,380,700,013,179,782,618,557,445,301,947,163,038,666,538,
412,380,276,465,829,595,031,041,268,516,142,294,972,272,723,079,520,486,335,
013,254,517,197,143,934,080,797,463,163,206,575,888,639,433,800,535,205,683,
249,088,587,195,269,851,374,490,465,308,381,834,312,162,287,099,844,191,282,
514,920,725,893,371,885,926,970,340,865,728,737,086,518,535,757,051,256,023,
312,737,861,989,870,542,640,680,289,984,190,654,736,061,605,112,027,010,029,
858,145,014,249,565,452,933,096,034,518,109,942,860,210,431,791,588,389,493,
007,282,843,095,010,944,355,082,927,557,565,852,556,922,044,110,900,481,905,
275,278,368,257,953,217,885,677,341,854,087,265,609,257,866,983,074,377,593,
673,500,935,965,472,652,319,479,316,932,172,450,389,395,045,106,693,395,806,
806,360,249,905,193,555,340,016,090,486,545,242,471,392,995,917,721,475,257,
073,079,767,823,200,619,912,539,066,255,856,038,977,843,417,573,819,219,735,
623,575,748,593,595,080,147,094,001,943,889,902,064,686,241,041,081,894,079,
861,106,430,586,674,219,503,179,339,818,870,398,341,458,204,526,014,118,668,
439,736,983,755,458,519,778,041,757,054,950,201,515,995,410,516,606,003,597,
684,694,588,975,803,274,111,465,304,479,198,997,393,936,061,422,107,807,977,
100,672,508,321,232,188,572,944,601,518,285,616,057,440,669,157,489,871,435,
030,776,212,779,408,806,021,585,164,833,396,913,245,819,956,134,018,878,942,
295,127,280,895,580,574,832,919,516,173,228,980,784,070,643,332,525,471,320,
359,024,147,627,119,040,616,488,819,331,765,656,445,715,561,918,384,006,720,
794,245,049,412,773,257,649,146,611,992,903,136,884,155,576,606,855,502,260,
685,774,037,000,376,209,901,826,494,795,068,178,564,836,390,642,953,758,284,
749,862,338,927,517,724,463,672,970,941,401,368,167,690,965,164,327,806,648,
250,224,683,506,368,332,057,429,440,559,728,089,945,639,401,814,825,349,470,
589,046,628,228,423,895,209,068,011,294,687,901,784,514,985,074,256,917,247,
177,047,969,803,810,925,479,997,138,113,328,337,794,584,520,117,606,722,405,
001,475,155,813,252,851,151,593,877,978,107,227,866,102,644,716,449,641,255,
040,641,034,283,329,209,884,789,035,126,356,744,107,039,836,144,099,862,818,
120,008,885,555,497,774,488,280,604,891,356,579,694,923,845,932,738,294,840,
319,858,185,116,074,991,718,313,383,447,486,923,185,170,440,510,766,341,527,
155,899,002,335,396,109,463,159,521,702,075,211,317,834,324,119,116,522,849,
751,955,650,866,596,927,952,741,939,216,462,697,024,081,744,680,448,967,679,
739,949,523,378,723,385,497,892,792,985,921,144,802,859,039,621,489,549,804,
583,592,790,796,279,324,450,426,363,925,308,371,625,672,604,597,551,003,926,
305,424,295,108,254,831,577,695,273,992,160,778,443,290,437,143,870,433,115,
470,060,787,254,117,361,840,931,535,911,047,714,337,479,863,408,901,796,280,
096,861,844,149,112,932,225,343,444,931,732,819,132,084,268,272,661,090,890,
609,922,505,341,313,409,335,653,334,754,962,492,666,943,194,324,745,729,727,
341,919,314,108,295,929,434,229,045,186,803,596,212,057,437,308,715,406,366,
368,210,121,184,915,457,880,900,147,373,086,204,003,141,039,069,011,714,859,
602,075,248,370,033,433,913,698,673,370,884,358,977,099,497,831,503,362,780,
108,754,133,639,800,991,291,755,781,852,694,639,212,188,850,162,831,226,614,
378,626,784,933,163,927,998,442,870,415,469,485,470,896,242,653,426,025,680,
462,069,071,327,450,418,383,023,572,230,834,424,948,158,780,283,204,738,695,
005,948,679,459,436,109,994,059,638,661,976,083,914,744,912,242,858,890,789,
654,708,938,048,883,603,360,446,833,014,289,961,096,666,742,054,529,226,563,
053,509,240,497,563,528,994,513,778,951,034,005,421,617,680,882,045,799,982,
612,678,493,489,777,802,865,817,803,932,086,276,882,538,951,356,740,723,978,
733,824,969,608,594,754,509,983,645,802,787,678,338,920,822,634,800,991,410,
281,029,192,306,082,429,109,260,906,381,541,069,988,238,031,729,555,728,835,
524,429,264,013,718,794,256,968,359,230,059,517,829,488,149,577,887,579,087,
229,894,996,611,189,156,908,457,483,648,896,102,433,562,781,764,697,286,813,
613,238,115,826,919,734,520,566,365,196,448,526,584,463,940,790,353,856,563,
788,956,023,143,678,182,702,663,605,398,718,766,348,127,231,792,119,515,987,
712,152,567,660,634,199,282,890,897,686,917,679,411,199,737,720,249,073,594,
674,771,638,068,588,412,574,165,662,460,515,894,111,327,757,632,717,290,464,
768,268,468,270,861,369,204,266,090,290,558,645,274,277,079,262,849,251,064,
927,088,546,290,732,728,398,567,696,416,293,937,307,764,522,349,076,060,575,
346,074,337,172,469,580,000,739,621,800,998,466,872,403,650,686,788,414,539,
806,368,476,374,530,390,518,967,412,767,551,136,821,062,532,283,118,827,179,
778,151,787,618,489,629,416,655,358,271,167,561,072,599,740,315,293,987,201,
626,614,498,913,395,577,649,207,976,917,015,240,956,389,809,506,474,944,693,
128,485,663,194,528,190,624,585,152,233,021,872,387,017,349,239,863,973,858,
403,656,366,793,300,925,970,039,798,555,841,028,291,439,995,038,715,894,822,
363,824,148,845,315,184,649,542,938,851,510,807,433,763,118,627,407,233,832,
759,791,563,622,644,195,361,816,488,463,772,005,394,278,911,975,331,827,136,
272,600,850,417,566,163,444,374,129,081,694,315,302,629,914,340,716,759,825,
700,034,926,856,172,104,845,277,358,204,926,136,517,051,525,493,597,698,553,
397,312,045,918,976,567,619,974,083,259,143,783,489,222,061,391,056,585,796,
331,375,742,705,551,476,237,095,243,420,187,331,206,321,281,841,412,333,639,
463,555,258,113,431,926,081,231,120,516,590,537,922,494,807,609,225,797,351,
554,586,928,845,643,272,689,430,045,482,904,785,666,308,029,548,946,788,630,
079,673,719,500,396,844,309,302,818,134,009,825,675,017,023,958,227,181,489,
362,035,211,588,504,838,245,162,430,452,699,763,380,386,707,188,083,037,793,
489,404,527,835,288,406,988,768,633,579,068,355,195,596,087,651,714,384,023,
607,867,179,174,952,051,148,822,142,876,762,393,296,035,331,374,883,445,066,
813,641,929,795,526,340,390,458,036,931,369,298,045,079,727,124,818,984,053,
752,853,004,105,708,117,327,000,271,842,909,632,527,441,527,380,572,905,034,
864,754,913,029,154,452,365,030,075,327,943,897,081,871,214,009,054,328,273,
605,460,089,019,180,936,241,555,793,697,765,431,127,765,624,546,093,200,559,
202,474,066,770,843,591,254,755,940,887,582,250,116,552,479,277,732,944,238,
230,391,880,716,707,434,931,001,763,309,829,203,894,037,741,253,240,951,271,
679,711,194,110,749,476,849,887,299,138,825,412,170,237,630,374,931,950,727,
280,604,325,071,477,973,707,491,764,605,557,443,073,541,851,483,352,012,962,
744,849,466,211,907,062,868,271,087,819,580,598,483,827,363,773,075,579,624,
052,752,051,659,579,173,478,156,717,548,085,499,328,840,540,743,535,824,979,
473,047,279,565,857,607,116,649,067,458,601,710,470,239,933,313,096,873,469,
052,555,228,934,960,845,008,880,172,947,152,323,989,331,155,362,723,902,789,
047,664,155,991,386,132,947,034,587,765,267,234,201,758,784,701,490,791,499,
114,832,481,388,627,827,358,820,813,829,546,571,863,669,257,527,670,644,054,
450,364,096,809,095,618,584,923,921,728,180,093,443,801,334,191,500,440,538,
027,734,269,509,887,649,795,602,346,990,577,653,163,098,044,905,301,054,507,
852,918,725,556,377,089,330,926,751,936,981,479,947,388,678,649,576,130,005,
064,247,618,006,494,628,705,148,521,818,664,916,414,463,311,326,445,681,890,
784,265,240,694,155,680,954,733,346,642,444,554,585,308,959,675,096,891,080,
793,881,607,534,440,390,312,725,871,557,027,313,176,253,723,342,099,763,435,
986,912,149,932,520,114,200,944,875,285,319,022,037,087,384,176,856,990,450,
187,977,881,960,261,471,977,594,363,623,296,765,827,536,157,956,663,071,148,
188,030,385,394,836,604,642,328,571,674,679,989,929,587,744,639,810,970,533,
446,810,162,569,173,816,746,905,854,272,272,146,514,699,995,925,184,800,427,
513,491,734,217,327,478,009,065,256,069,915,732,642,845,841,148,413,024,417,
011,986,830,741,759,382,487,523,826,287,813,297,440,707,929,939,548,057,219,
127,020,053,303,192,944,568,846,899,298,731,293,816,273,945,535,671,295,296,
820,115,545,379,248,511,074,529,288,360,650,095,766,648,145,701,709,939,298,
768,558,103,084,336,522,017,628,608,411,039,473,674,994,429,089,823,377,192,
707,130,291,208,772,963,170,565,542,461,102,686,704,210,006,025,389,801,267,
199,299,539,993,078,138,212,172,817,264,830,331,265,822,223,818,567,306,122,
823,728,354,389,554,395,097,707,049,302,357,330,393,169,486,394,349,927,103,
197,281,089,050,683,468,487,284,158,504,827,154,664,253,411,617,466,779,430,
100,770,744,794,912,304,340,363,851,119,457,424,841,621,803,919,343,329,631,
528,849,863,696,458,092,874,689,588,512,322,278,747,495,523,574,388,703,162,
958,256,909,902,977,808,678,610,178,090,226,943,453,491,609,390,313,758,546,
163,893,664,761,689,120,985,749,279,707,702,998,625,915,158,911,297,680,135,
311,888,005,030,425,261,351,709,906,886,003,838,223,401,885,332,782,074,399,
778,720,920,602,368,557,729,052,362,663,066,100,012,968,803,985,326,099,675,
638,899,975,719,152,970,908,263,233,886,372,021,164,604,860,917,351,017,510,
169,343,632,737,876,523,803,659,514,701,339,850,229,716,019,938,398,464,810,
118,876,434,717,184,369,557,041,358,849,688,520,397,194,171,049,447,024,672,
883,436,113,013,249,526,508,498,951,142,803,431,957,002,213,089,236,086,696,
191,566,033,699,409,749,396,842,185,380,278,370,211,382,873,841,715,901,900,
883,187,771,909,502,663,570,088,946,525,662,000,413,602,949,002,495,440,811,
642,421,701,081,307,339,360,444,956,950,979,099,407,943,615,555,846,411,206,
934,246,678,009,612,851,759,399,579,005,738,324,142,220,665,458,011,074,131,
938,159,144,597,877,658,090,574,746,832,539,030,126,235,455,342,733,506,263,
900,465,263,024,856,114,596,367,730,916,845,532,706,998,909,448,229,330,177,
199,447,785,200,527,411,906,613,273,425,839,068,392,395,829,704,617,206,912,
858,574,424,780,004,964,760,606,695,386,673,046,631,470,475,562,388,949,109,
004,185,959,780,585,671,524,995,792,591,755,724,444,598,140,235,323,917,440,
907,612,511,033,598,384,006,552,060,184,626,341,486,815,147,968,638,931,358,
075,405,421,706,868,729,996,228,194,305,928,210,853,946,903,918,698,092,299,
364,716,308,813,637,108,895,839,682,049,905,872,132,568,377,653,955,457,656,
866,815,653,596,946,412,380,161,867,288,738,558,685,529,542,128,192,649,400,
322,220,108,607,922,638,803,662,976,153,557,436,139,951,263,601,602,333,157,
162,635,173,063,543,717,444,247,952,548,790,467,815,275,113,685,622,293,597,
151,161,771,358,443,433,246,260,124,864,116,107,688,016,948,513,028,144,542,
974,819,187,663,945,185,015,375,054,199,156,489,045,852,300,478,018,575,982,
237,584,720,801,136,015,361,171,483,210,771,332,690,132,445,628,014,001,526,
586,659,526,630,719,689,390,425,915,587,804,183,434,262,567,613,693,226,287,
523,696,115,833,862,243,025,804,020,999,720,012,739,893,957,293,836,439,258,
731,765,150,664,752,550,766,462,956,084,598,237,782,820,267,222,271,455,014,
843,692,318,907,199,877,457,484,146,219,253,730,251,043,027,619,521,833,351,
608,334,434,767,319,239,090,526,878,032,316,981,124,232,729,501,948,345,403,
666,897,639,373,129,133,153,258,471,446,095,290,320,815,224,784,216,598,103,
902,670,733,905,156,005,859,774,348,194,010,971,342,929,635,991,972,184,568,
984,720,057,482,461,440,893,928,134,213,255,442,270,365,325,325,560,836,794,
921,608,922,009,325,748,075,203,050,532,979,555,976,994,843,235,327,755,036,
785,604,237,677,570,592,998,048,058,756,923,647,125,208,500,785,820,993,333,
411,777,189,262,228,491,508,183,781,753,940,525,184,643,052,955,267,473,894,
194,987,474,543,187,264,538,332,715,535,136,551,256,997,640,528,907,039,560,
067,009,682,414,751,182,770,653,684,227,615,350,426,318,327,318,223,613,178,
443,927,306,050,248,984,455,783,720,486,678,535,498,629,747,888,572,482,764,
104,255,829,290,494,303,496,948,193,240,095,314,797,428,179,323,822,222,171,
625,530,817,079,908,769,288,381,709,518,644,931,826,335,868,216,631,401,969,
732,042,088,421,657,868,570,521,152,458,734,900,983,759,688,874,167,991,273,
502,663,483,185,678,877,224,083,421,066,657,823,969,505,482,260,909,235,469,
189,440,625,092,209,493,690,048,023,918,183,425,874,826,265,549,991,623,420,
831,287,418,187,590,363,240,833,216,127,354,819,302,811,061,104,182,049,989,
548,497,783,049,109,123,078,212,375,458,874,285,153,625,595,103,156,103,951,
364,361,059,404,033,651,582,871,036,917,978,023,966,164,600,879,808,036,940,
493,641,007,905,594,766,721,368,541,877,046,144,746,561,461,248,462,349,982,
579,120,616,612,875,090,480,314,879,497,893,920,040,730,880,780,820,698,752,
523,060,506,273,409,861,013,651,123,991,734,620,169,878,369,792,340,260,762,
316,733,052,910,556,128,092,759,289,147,140,761,796,104,334,241,908,366,240,
944,569,840,068,949,177,164,856,986,358,854,023,427,039,883,687,420,828,911,
235,758,973,574,504,202,811,322,000,390,781,689,828,068,298,112,910,300,122,
388,123,061,616,175,881,701,363,904,437,033,124,177,955,869,630,700,807,119,
015,589,253,602,549,100,841,003,510,823,011,110,831,031,302,662,013,932,555,
349,737,026,598,603,302,896,670,167,870,536,323,008,561,320,547,042,689,747,
689,822,456,568,679,662,309,622,880,863,576,110,465,781,002,344,839,506,260,
017,736,212,796,516,310,981,585,249,367,194,094,704,766,641,767,387,338,083,
302,808,653,974,143,506,272,956,387,598,668,871,298,342,408,752,361,247,983,
855,891,697,185,385,349,828,368,245,022,717,744,946,634,130,745,902,927,802,
288,185,445,240,510,209,456,469,778,768,920,922,403,852,169,754,353,425,820,
551,601,566,609,186,760,084,930,331,030,545,625,068,653,663,248,030,214,250,
132,576,975,080,270,513,599,491,206,667,205,684,922,591,577,580,638,772,473,
407,981,834,448,432,069,613,447,716,795,674,803,585,671,281,293,057,341,721,
394,765,819,262,058,158,847,360,858,140,924,072,275,301,648,786,991,342,371,
414,883,604,669,513,230,306,150,489,907,403,946,555,889,491,994,264,424,187,
552,197,237,054,561,193,625,898,358,549,937,951,969,363,407,934,637,070,134,
895,119,660,035,951,197,180,750,205,829,897,989,665,785,978,241,009,585,772,
953,858,023,505,476,469,064,038,610,507,597,581,049,621,079,827,948,093,758,
410,686,555,947,135,872,678,719,541,771,465,188,335,405,511,317,164,375,139,
558,700,428,682,468,292,194,024,353,731,460,913,466,817,012,460,254,470,325,
759,948,224,611,275,734,863,039,646,700,152,709,856,352,412,882,003,078,845,
010,104,546,826,946,199,178,012,318,187,867,579,249,547,807,882,503,275,409,
920,315,130,992,893,853,289,653,052,955,428,658,409,643,126,310,999,411,235,
949,633,604,805,145,155,747,264,749,241,008,302,325,062,924,562,615,369,807,
424,763,752,668,010,988,479,219,176,901,089,166,389,540,219,712,982,871,150,
472,607,047,371,405,449,260,975,726,872,773,607,301,646,630,796,923,327,418,
786,036,395,565,896,618,040,816,127,172,845,981,103,199,214,614,235,800,234,
890,372,624,321,966,349,076,917,176,774,639,142,073,321,048,922,790,403,517,
190,039,146,955,712,072,729,738,413,877,435,277,961,484,911,285,606,107,326,
784,246,068,904,283,191,514,691,785,752,682,396,292,888,257,947,329,898,755,
847,149,800,933,568,925,542,694,361,655,807,772,727,928,360,238,863,980,772,
661,765,307,337,622,245,790,832,583,843,465,102,845,551,470,980,587,511,313,
969,628,465,057,693,692,112,102,156,268,367,584,441,362,417,138,640,879,654,
432,066,517,223,997,210,844,945,855,820,087,894,510,117,145,260,978,667,624,
009,514,980,104,529,763,732,467,205,496,148,761,879,745,372,940,030,424,942,
378,888,582,934,695,530,641,836,579,601,169,558,056,284,038,436,930,170,951,
744,773,070,775,122,905,163,175,980,459,695,893,592,163,520,954,202,297,805,
181,280,795,673,882,412,151,803,974,367,996,453,838,213,598,597,131,087,686,
900,489,231,018,232,113,330,675,476,599,725,065,772,099,791,797,073,585,122,
733,238,657,108,546,187,102,277,493,203,052,471,919,887,139,663,518,405,120,
834,151,890,667,819,549,256,780,698,165,124,993,564,861,766,676,218,866,638,
762,450,412,309,132,301,642,238,681,290,872,530,490,724,826,763,163,820,084,
960,727,224,104,790,334,743,149,153,957,099,122,642,251,457,989,963,787,907,
229,083,223,190,785,695,754,816,175,188,527,586,445,737,735,196,625,256,567,
926,361,231,053,948,076,730,325,345,499,855,263,067,350,976,779,880,437,446,
127,802,959,079,396,942,237,722,039,217,861,168,978,044,547,545,918,615,405,
613,820,909,399,580,531,898,098,797,441,136,893,085,580,479,507,331,378,224,
330,119,741,357,732,833,715,903,834,121,361,616,493,914,923,700,759,067,631,
910,875,656,062,237,061,605,921,688,363,055,243,628,964,435,468,525,353,487,
728,325,747,088,970,882,176,719,445,117,000,791,094,421,518,266,591,754,026,
499,475,751,725,798,139,809,114,801,938,209,313,900,378,447,172,451,040,128,
088,910,306,385,102,110,320,195,247,842,244,399,036,405,811,352,146,024,151,
398,724,371,794,243,769,108,207,860,169,266,848,681,267,003,750,228,261,066,
339,154,789,089,602,605,064,382,247,852,550,292,379,804,798,345,630,427,658,
205,358,293,238,097,672,481,642,205,132,829,073,741,215,926,476,802,288,280,
473,615,716,109,553,618,169,478,410,006,205,201,011,045,453,235,195,670,702,
991,888,844,613,314,484,298,111,660,233,976,280,519,764,722,697,310,460,448,
845,814,530,128,256,944,126,579,210,528,781,376,198,320,300,184,132,309,748,
139,393,351,877,742,546,857,551,032,817,466,461,890,365,038,676,974,706,128,
178,326,697,853,447,882,323,103,667,868,187,052,396,728,508,674,176,516,039,
283,137,760,552,898,448,432,782,324,279,001,130,541,447,243,864,562,668,621,
855,247,450,529,575,540,382,630,886,367,052,206,450,937,929,898,749,065,696,
902,870,582,093,447,037,845,529,940,797,272,790,019,676,377,746,155,115,341,
244,575,745,788,221,649,323,826,016,506,307,873,072,813,293,472,668,792,805,
913,793,849,062,141,186,324,744,302,419,535,717,622,883,641,519,150,246,201,
873,640,304,950,006,442,624,754,561,011,455,196,215,262,766,923,260,167,542,
637,693,250,684,398,114,536,520,213,993,603,994,581,432,456,536,184,336,249,
554,947,623,871,723,548,924,648,224,033,607,560,967,870,843,057,038,508,319,
530,962,718,628,095,559,540,137,556,292,430,828,493,168,554,072,496,554,930,
629,981,756,860,427,623,017,734,720,362,376,463,528,344,851,091,854,092,830,
805,474,398,649,571,537,569,728,485,309,773,266,012,217,300,104,566,425,380,
927,515,675,196,808,743,159,165,983,635,821,262,463,761,564,085,827,898,876,
277,342,889,475,447,871,740,583,462,147,498,482,386,742,405,642,420,931,041,
187,835,607,150,731,518,892,406,259,407,084,290,947,351,872,474,201,655,837,
588,215,019,629,662,450,612,676,960,213,380,911,711,517,133,784,949,806,718,
566,041,437,003,184,163,058,741,457,237,172,697,540,270,518,247,272,102,866,
776,440,807,973,225,765,953,957,007,031,230,117,693,949,534,369,859,826,151,
378,850,227,090,399,425,010,020,963,128,993,597,772,454,099,783,814,504,145,
295,005,080,534,346,945,534,225,062,202,588,083,911,267,455,599,432,299,987,
457,606,987,399,886,211,233,844,419,566,542,337,796,531,193,320,135,796,768,
696,421,879,864,469,924,641,706,642,645,824,037,167,544,151,231,819,532,855,
858,235,296,225,248,359,215,375,091,557,038,409,395,807,618,631,924,166,332,
292,703,176,217,067,283,600,683,910,402,440,570,487,295,071,286,428,114,576,
814,216,495,794,588,753,407,171,004,792,532,560,829,725,718,990,422,804,442,
729,862,557,470,420,224,607,244,053,319,197,075,457,114,251,320,127,744,174,
838,188,766,765,504,768,911,282,659,960,605,486,711,214,679,887,843,206,169,
693,976,777,488,993,115,098,931,286,897,776,595,074,827,157,990,126,951,294,
289,084,498,068,158,373,955,627,634,542,752,259,444,933,131,126,711,737,008,
819,474,749,429,297,090,765,685,080,313,228,089,550,945,298,315,324,919,117,
616,976,613,781,036,002,373,660,928,163,505,773,858,889,651,741,549,122,786,
167,353,648,492,132,234,688,063,589,429,387,152,257,803,868,055,715,335,709,
113,314,842,056,091,012,420,293,074,916,581,715,468,986,734,439,016,309,820,
654,997,669,622,571,517,280,496,837,274,552,826,663,157,421,954,027,620,682,
838,492,804,581,872,764,355,783,889,333,509,554,269,767,529,910,875,896,691,
289,532,632,943,106,632,834,744,409,260,348,600,652,891,434,304,819,317,405,
622,522,366,720,221,997,335,310,908,564,421,409,211,819,758,013,083,183,770,
349,738,448,045,106,602,627,259,897,929,180,861,840,605,236,962,477,028,096,
976,226,840,208,243,531,818,395,244,377,931,100,483,390,571,924,068,090,262,
218,174,926,038,929,367,651,262,865,510,374,778,454,387,764,159,400,109,485,
877,417,726,415,656,841,266,652,451,219,292,707,667,346,273,605,776,904,229,
156,587,142,496,042,975,921,888,014,463,188,374,109,617,615,200,363,065,819,
380,994,570,299,981,822,957,322,056,674,385,839,057,420,067,858,524,681,149,
371,564,466,034,534,065,578,796,872,062,016,057,114,220,588,264,143,318,043,
962,775,700,225,521,113,406,549,478,934,698,724,560,501,436,712,299,590,384,
086,792,788,535,978,274,762,464,742,421,250,361,816,024,559,782,986,054,199,
392,365,581,767,336,420,207,902,867,843,683,598,568,855,856,291,744,998,867,
442,873,643,114,270,647,768,570,828,056,776,159,318,762,340,913,853,852,361,
902,712,949,313,076,978,003,198,069,557,999,105,967,002,756,575,378,313,379,
359,303,122,045,785,286,917,354,068,161,158,051,460,215,053,680,337,662,607,
906,887,156,952,085,357,562,342,411,342,820,373,682,425,058,206,513,983,792,
196,597,287,492,860,018,448,549,475,258,634,473,035,381,829,922,606,114,614,
490,895,873,801,189,608,881,004,908,352,570,388,108,408,123,320,304,866,573,
091,735,254,130,108,661,995,869,257,273,609,600,762,389,796,852,393,686,402,
860,578,806,660,114,391,691,362,119,484,771,359,177,450,409,582,832,135,163,
951,975,767,680,280,223,872,144,803,100,511,526,662,589,416,486,410,475,435,
754,290,069,947,531,352,670,277,799,797,683,360,851,147,166,149,926,299,429,
521,237,271,882,100,474,491,519,200,607,182,906,176,506,228,793,473,375,775,
123,543,113,323,711,377,864,216,606,335,009,864,084,886,197,437,909,025,923,
683,187,660,908,480,040,638,010,573,100,226,444,110,226,130,341,816,833,162,
402,979,511,164,034,012,378,781,953,210,371,514,951,139,742,843,405,672,129,
730,843,517,030,757,457,705,640,645,869,370,657,775,213,294,845,759,011,641,
780,001,731,227,780,431,950,485,112,617,069,218,742,756,795,393,907,364,160,
354,601,743,500,921,791,114,345,913,593,887,966,301,102,743,751,259,271,575,
101,615,227,369,003,326,444,307,987,194,815,897,883,166,955,573,232,039,883,
588,726,073,965,347,707,555,218,541,395,023,559,907,614,146,195,205,580,503,
084,853,878,392,963,633,851,921,918,499,413,850,323,760,305,174,653,483,992,
063,393,294,426,580,692,421,859,269,629,086,415,413,397,978,185,526,696,526,
817,003,322,214,356,393,500,629,754,067,365,153,317,481,738,226,547,773,553,
410,631,201,320,208,093,843,887,594,271,243,844,096,821,787,379,948,099,551,
861,284,475,240,089,954,440,129,925,831,705,755,428,862,630,137,701,078,217,
911,838,474,086,068,396,986,115,778,605,984,517,520,518,537,176,132,295,378,
526,986,112,417,129,205,231,018,680,577,687,534,482,477,696,190,796,030,327,
713,643,921,079,996,589,660,505,402,399,011,953,571,835,684,196,354,492,961,
435,987,793,302,899,693,880,109,891,519,010,875,250,806,537,277,652,023,649,
155,658,706,785,104,519,808,918,529,019,678,416,579,314,218,706,763,904,344,
858,191,453,429,673,513,339,812,073,362,235,363,827,514,913,563,431,849,218,
616,474,873,805,703,401,457,617,126,461,487,526,189,257,837,560,280,221,084,
052,810,753,321,399,120,616,581,570,380,937,490,875,003,505,423,642,520,178,
715,210,423,314,340,878,273,139,290,717,964,391,638,677,628,240,013,925,676,
280,580,569,412,602,331,859,136,756,747,374,605,054,188,295,960,021,199,640,
644,678,806,473,563,237,346,949,214,721,836,399,927,807,613,603,346,738,088,
402,604,752,664,201,457,393,814,503,624,281,712,686,145,185,295,334,999,149,
703,615,247,122,897,535,910,807,249,241,563,908,657,548,958,223,881,010,833,
765,283,679,398,558,849,068,472,563,741,771,371,399,748,388,497,640,115,968,
013,759,232,671,542,714,304,671,040,686,380,582,816,250,419,084,901,328,902,
107,002,115,239,873,322,156,307,617,055,111,161,135,568,068,263,306,295,143,
945,070,871,164,072,700,078,314,110,247,669,042,850,680,505,337,219,201,911,
871,984,843,857,763,057,628,029,172,710,765,602,690,113,829,259,773,670,744,
291,263,461,475,078,349,244,750,472,805,454,642,747,302,576,893,098,840,420,
626,145,149,376,961,118,146,521,747,036,455,645,294,107,735,761,381,499,112,
212,585,263,357,347,190,082,207,238,209,522,155,315,268,015,998,578,962,754,
000,800,283,680,981,813,845,915,464,416,121,669,294,755,533,641,118,645,868,
628,554,460,954,642,446,333,211,545,040,245,988,010,918,066,802,796,703,070,
222,792,662,550,243,809,217,705,320,404,614,455,301,641,952,413,615,313,808,
348,141,752,349,614,351,254,816,202,616,985,025,502,075,182,911,525,956,994,
781,289,518,176,815,591,319,789,214,152,387,155,300,653,988,500,885,583,572,
446,124,014,834,261,580,584,779,039,564,937,726,791,265,765,848,469,766,531,
237,925,316,777,612,269,539,677,183,941,130,863,541,097,475,752,788,910,054,
456,500,809,973,789,202,258,696,877,212,266,240,568,450,319,747,196,747,515,
554,020,504,898,998,473,573,947,319,144,851,469,817,924,365,190,375,580,162,
739,289,594,239,789,219,336,740,813,874,941,504,900,521,385,502,174,574,298,
990,964,909,116,666,281,768,971,572,173,427,917,941,272,057,463,313,581,671,
126,900,903,540,237,534,682,630,723,421,284,243,159,040,075,760,946,383,514,
831,754,408,459,510,998,507,980,359,019,202,243,461,046,426,035,768,941,079,
187,681,032,146,331,910,502,907,421,785,824,349,864,405,898,628,316,571,814,
423,399,503,347,406,861,149,089,349,367,675,486,493,450,991,145,243,318,341,
744,474,247,046,204,121,237,572,007,879,160,029,872,551,681,523,940,504,842,
270,067,258,234,699,294,971,084,709,257,895,324,981,244,959,201,251,744,125,
694,579,429,651,696,562,046,987,612,809,911,400,434,983,621,740,716,503,754,
745,195,846,359,526,615,090,082,586,986,059,735,253,878,876,981,061,307,935,
237,367,113,732,305,869,183,253,530,808,802,440,593,861,922,006,680,008,114,
077,738,386,370,071,913,428,127,399,736,670,283,094,124,891,760,936,308,229,
883,343,196,886,542,395,975,157,257,330,950,634,348,118,317,469,831,411,040,
871,541,455,907,855,055,069,513,106,225,958,905,719,743,941,454,775,873,317,
787,806,862,323,246,952,945,771,874,876,713,776,856,979,627,288,725,580,451,
068,591,305,869,421,205,849,025,092,991,904,138,745,600,288,283,984,830,990,
918,764,301,865,971,097,246,741,911,483,217,501,966,663,489,603,398,776,789,
922,677,971,082,826,437,892,769,422,595,758,382,357,978,800,186,632,066,266,
964,008,706,956,138,215,828,513,908,889,142,882,752,140,634,873,657,110,315,
735,366,313,400,760,245,589,819,968,876,647,462,741,598,832,249,828,476,296,
278,834,073,119,776,787,180,126,245,995,592,157,751,772,518,431,452,985,011,
721,236,955,133,874,523,342,143,577,316,639,375,741,043,382,519,050,144,829,
302,573,941,588,557,545,994,691,185,471,623,335,223,866,882,736,036,623,470,
524,539,246,165,273,905,633,910,858,560,062,487,766,318,821,198,458,603,156,
925,630,225,780,025,310,491,772,113,009,701,504,171,673,649,715,527,120,159,
228,530,955,558,849,077,136,153,688,806,882,992,796,927,411,203,190,414,054,
069,042,973,350,173,252,941,635,421,928,095,901,130,848,683,842,961,886,083,
800,479,315,657,102,728,634,734,547,611,057,867,564,202,407,943,244,467,641,
592,172,200,534,794,317,707,738,868,095,936,629,961,872,710,269,624,543,556,
569,593,442,184,059,757,185,727,582,105,743,083,862,779,210,169,625,289,168,
976,078,789,971,875,370,242,807,040,725,650,684,901,847,828,936,211,292,475,
370,358,407,495,941,338,012,993,613,643,015,947,132,790,068,897,488,811,546,
024,427,287,269,699,664,943,726,850,573,338,448,633,580,897,917,103,941,294,
170,826,554,613,838,550,389,474,057,724,349,346,844,313,253,063,004,510,913,
580,028,324,876,821,019,936,607,767,319,341,370,183,102,915,477,840,940,186,
310,512,263,689,652,347,269,993,513,030,170,255,170,160,283,812,586,896,097,
231,336,750,573,593,875,584,437,019,755,768,685,232,365,051,277,074,911,330,
279,852,483,365,033,424,458,057,383,795,090,587,370,963,609,864,635,217,824,
271,725,385,814,382,660,602,281,655,707,132,401,852,674,149,291,923,694,050,
617,623,937,219,517,415,923,591,026,144,515,745,602,400,632,348,563,339,310,
468,464,269,620,251,971,722,507,934,160,107,813,928,190,175,421,725,583,293,
559,293,642,406,411,880,765,501,823,547,047,423,349,685,802,379,307,030,671,
561,643,438,960,460,247,693,810,424,034,260,419,598,771,801,294,624,423,886,
451,646,209,490,882,869,455,598,516,766,430,647,689,177,244,587,804,336,177,
612,949,055,999,000,009,939,432,235,571,126,959,233,475,726,055,105,840,321,
986,623,341,926,505,896,625,396,797,707,520,756,934,082,559,983,466,434,384,
764,711,921,248,971,784,397,339,508,895,936,089,854,815,221,097,706,998,038,
367,086,367,119,983,427,103,011,524,222,342,499,151,125,497,883,179,922,736,
149,680,971,726,394,939,198,092,200,224,700,490,623,039,754,226,940,343,470,
364,983,801,929,993,678,065,583,773,082,380,496,255,339,845,838,909,720,735,
996,569,084,716,421,936,257,254,379,546,031,297,749,395,871,892,978,973,154,
360,870,449,728,112,114,500,829,068,994,647,354,875,726,701,559,571,798,242,
965,530,387,610,720,612,908,274,269,294,252,271,363,257,516,545,273,514,726,
708,203,165,457,184,688,097,238,111,314,615,120,187,571,558,596,444,977,192,
989,500,396,732,113,231,035,299,306,114,539,514,811,269,273,847,556,166,967,
795,171,802,708,201,647,626,168,526,786,896,947,849,972,622,161,672,481,019,
891,492,281,048,265,293,471,476,233,716,343,934,409,316,502,070,362,937,365,
302,726,864,651,845,674,641,441,832,584,307,542,452,101,096,852,316,036,291,
757,024,522,969,840,947,230,103,385,218,245,735,815,720,538,239,008,822,459,
528,429,815,739,672,118,100,450,606,048,073,008,839,403,888,493,353,655,462,
996,106,989,618,805,052,634,163,722,371,442,005,952,329,822,910,582,072,900,
209,189,547,592,708,532,906,711,443,973,855,139,408,858,271,841,898,421,968,
777,644,479,972,299,813,999,647,192,328,625,771,378,865,025,262,723,053,927,
932,788,645,744,499,552,281,891,155,301,755,246,578,829,903,952,600,905,592,
688,430,488,142,494,406,014,360,972,542,520,065,980,987,438,026,149,296,537,
844,599,629,664,555,674,378,357,836,759,836,393,080,928,123,357,352,111,599,
271,948,481,770,344,413,171,604,044,215,421,303,629,403,398,079,691,789,472,
717,784,499,867,302,388,414,555,284,009,707,354,814,702,808,365,886,440,191,
712,479,880,772,078,000,438,970,521,179,578,444,251,870,295,091,492,664,629,
622,972,351,548,397,988,527,157,016,606,950,111,765,855,144,715,309,337,357,
126,632,930,045,031,159,223,666,008,824,990,874,618,211,308,771,295,363,802,
438,304,199,145,328,771,753,603,110,418,538,810,344,757,567,440,562,394,568,
450,585,316,392,370,300,172,516,297,992,161,672,967,539,896,543,762,924,458,
628,029,613,297,058,961,583,556,701,893,723,225,780,997,082,572,671,889,704,
441,824,256,429,168,887,603,778,356,875,486,039,434,034,462,574,789,392,746,
010,143,153,199,500,180,540,365,583,087,963,604,903,346,925,102,487,865,174,
200,067,251,778,147,308,183,757,748,483,924,091,767,510,279,019,374,596,690,
636,926,188,768,582,549,470,879,932,155,141,598,003,351,765,751,303,732,777,
846,580,543,173,047,933,525,409,732,841,188,291,859,617,313,196,273,276,687,
097,256,707,806,267,839,287,508,804,382,388,627,546,928,986,217,781,305,824,
681,784,964,493,930,046,060,621,236,829,039,650,756,069,834,272,293,739,229,
132,233,235,272,600,374,683,309,697,068,867,591,002,896,217,646,001,886,900,
020,740,495,900,461,082,338,082,150,533,712,130,286,737,013,882,696,008,072,
165,198,783,840,248,927,693,909,709,582,802,738,453,469,538,692,396,468,817,
156,889,070,245,479,361,663,146,298,448,866,741,257,132,700,902,068,081,418,
964,847,092,048,193,258,050,292,998,745,307,432,261,470,656,361,369,177,037,
940,075,510,824,409,710,916,171,790,213,304,773,292,351,889,202,997,189,426,
386,686,002,868,720,628,185,778,596,614,262,659,768,892,735,003,645,088,647,
154,208,308,245,964,383,303,954,909,334,528,764,713,933,038,048,549,834,325,
585,317,643,947,611,741,306,703,446,957,625,069,027,654,349,414,591,992,544,
648,861,547,630,002,134,677,797,825,651,648,432,919,772,501,206,559,057,823,
170,597,014,326,084,468,071,267,554,193,742,095,918,433,644,584,460,481,403,
473,976,305,369,832,730,979,470,389,959,680,136,374,848,160,957,140,039,694,
543,132,941,123,964,993,079,078,063,617,065,945,546,923,213,613,809,384,714,
064,109,215,085,696,774,943,319,816,413,140,139,852,858,285,716,231,529,151,
569,624,968,234,767,997,884,901,880,394,607,402,854,269,951,389,799,533,058,
552,307,825,722,686,523,498,784,833,336,965,716,751,262,538,114,124,628,224,
388,412,295,548,304,803,289,360,296,587,964,890,707,414,301,626,645,624,692,
927,711,903,781,164,200,418,323,274,792,543,294,714,379,174,799,117,765,431,
288,866,788,177,182,323,709,591,962,200,408,693,384,285,994,019,004,709,817,
928,498,537,901,888,791,685,390,248,207,080,195,818,772,216,272,423,072,345,
806,648,057,774,108,907,404,611,044,176,039,436,927,995,545,873,779,012,224,
687,707,242,546,437,311,421,903,266,946,267,938,453,334,702,157,255,616,602,
449,241,064,066,414,466,079,787,841,028,332,957,374,508,565,230,803,482,139,
630,412,753,863,473,928,251,257,164,437,027,284,208,501,697,109,420,092,396,
880,782,049,596,257,066,450,937,832,275,181,423,326,830,732,816,263,215,242,
326,730,666,621,620,825,543,981,864,929,567,379,458,270,320,589,025,446,463,
563,561,919,561,204,173,226,862,938,692,964,353,504,961,703,499,961,477,712,
154,832,491,758,792,608,272,436,480,894,858,259,591,654,068,360,515,249,238,
832,869,470,900,459,204,676,180,230,286,254,057,735,276,624,023,523,961,064,
276,813,147,261,873,978,795,386,421,494,687,164,630,607,550,017,841,549,933,
193,155,310,163,183,532,114,957,003,814,807,671,543,722,448,876,859,459,817,
188,088,851,111,622,785,730,233,148,150,969,913,176,985,973,783,044,141,048,
986,435,669,047,662,474,449,680,971,557,168,101,193,515,231,086,287,235,394,
033,167,642,724,365,330,946,733,753,946,739,625,542,941,767,856,722,920,321,
851,152,039,664,745,480,427,888,022,511,851,118,263,250,201,336,086,066,339,
912,839,676,264,159,271,863,763,657,252,548,677,034,300,515,593,835,636,828,
197,098,016,953,859,379,169,911,578,616,804,283,524,008,545,540,764,698,637,
361,928,242,601,138,115,113,323,779,410,314,847,011,831,119,488,183,621,343,
763,137,873,471,267,407,703,581,675,350,341,595,759,407,360,799,946,894,524,
904,432,597,046,154,835,400,524,075,749,255,657,688,565,037,611,979,846,395,
835,179,200,154,585,075,989,038,781,976,413,477,378,771,271,229,016,660,009,
876,664,523,042,699,444,935,644,920,640,463,186,533,642,281,605,481,522,102,
005,722,101,555,662,251,147,304,501,204,393,328,493,023,119,741,141,160,669,
939,785,195,774,324,600,152,539,669,079,120,027,776,662,333,967,284,730,956,
628,709,665,052,858,988,193,805,686,457,072,586,428,085,026,438,723,328,613,
483,284,154,358,356,251,870,594,043,951,119,737,104,698,171,187,293,172,244,
276,868,058,802,461,165,726,783,341,710,673,347,236,187,393,883,575,229,384,
090,101,950,557,984,123,184,635,892,114,327,305,503,091,221,371,271,985,248,
707,003,282,093,783,016,112,766,526,643,438,835,817,267,728,769,090,426,652,
485,189,869,896,398,206,306,918,960,116,097,453,253,437,902,051,093,539,180,
549,583,419,630,572,112,077,323,271,014,001,515,949,752,776,728,547,986,565,
727,321,647,499,756,039,859,493,578,395,694,556,512,329,626,902,588,778,476,
946,498,678,122,596,805,372,907,961,035,082,180,292,714,131,208,321,554,477,
419,861,718,668,121,482,374,500,546,535,403,741,747,857,923,459,006,204,483,
235,896,470,889,475,998,074,563,349,745,478,881,322,542,740,067,574,153,826,
736,648,333,738,293,171,666,629,443,411,460,128,633,452,130,113,845,931,442,
239,331,629,481,476,942,631,218,392,027,990,625,726,732,410,183,280,554,924,
033,743,376,668,413,981,124,177,237,418,812,139,088,178,010,012,630,954,732,
914,371,033,728,348,409,979,723,638,322,845,509,814,057,897,393,601,514,399,
399,391,207,212,061,951,151,109,277,057,807,850,605,743,922,795,174,657,098,
077,833,658,380,475,380,078,035,170,460,648,315,033,350,756,706,919,939,460,
182,072,581,086,797,180,626,519,937,698,943,436,834,735,658,194,756,430,954,
166,199,006,128,929,301,977,871,596,545,394,132,024,932,537,487,609,020,202,
340,469,632,332,840,519,424,801,340,939,292,498,363,278,630,572,632,710,381,
065,371,799,389,465,438,523,839,482,585,448,851,042,924,469,993,006,901,934,
690,226,086,494,283,658,358,298,907,983,612,795,056,443,317,181,760,378,238,
123,071,039,182,852,518,213,683,250,951,795,808,422,612,045,137,976,432,946,
166,692,192,693,747,985,076,894,229,376,491,048,468,464,674,541,401,768,762,
391,485,737,514,809,023,678,276,344,076,988,349,709,168,826,892,300,456,952,
250,451,297,773,055,682,394,560,712,108,770,761,610,192,275,405,941,431,634,
709,929,209,189,324,202,717,743,126,777,707,475,567,925,878,897,341,843,032,
748,644,449,995,821,093,850,356,089,728,565,293,271,166,489,629,674,107,719,
129,534,422,376,131,394,096,852,845,334,363,422,176,458,078,579,988,934,289,
293,756,118,288,945,865,997,023,240,687,721,774,854,389,710,418,009,672,433,
829,519,481,498,709,400,236,798,600,928,697,227,992,694,084,741,337,039,969,
515,923,519,628,316,474,057,305,372,612,045,556,845,640,020,492,463,601,982,
402,001,032,566,168,081,058,363,310,054,604,154,262,870,390,767,535,054,774,
157,680,740,213,043,998,027,125,684,733,311,151,586,216,917,657,620,128,056,
608,409,819,586,349,801,300,272,859,318,788,119,462,946,536,326,401,038,676,
722,952,784,834,762,911,868,030,476,998,115,380,415,995,606,084,252,063,033,
269,520,428,596,480,111,091,598,925,473,927,119,401,709,989,570,189,750,354,
303,764,087,455,400,236,811,417,515,453,679,881,244,609,822,927,792,369,518,
163,803,716,434,075,919,703,110,149,581,393,698,193,994,899,563,785,598,247,
748,137,719,563,283,795,550,853,435,937,932,197,666,878,007,642,590,268,396,
113,597,328,884,536,132,386,083,247,896,302,283,136,267,023,841,644,642,781,
142,296,087,376,301,174,278,905,292,602,564,888,301,582,121,190,113,302,901,
705,893,434,616,635,585,862,898,093,098,545,137,667,733,146,321,897,458,622,
021,922,032,167,041,471,054,855,833,268,418,082,958,108,375,655,710,233,081,
960,936,715,822,014,874,018,076,486,389,345,688,933,419,654,268,546,789,824,
276,731,215,150,812,300,495,993,585,453,360,037,503,010,984,528,642,780,849,
001,654,087,621,979,107,711,357,309,454,742,187,197,208,754,065,197,059,042,
000,699,532,609,504,047,191,263,291,261,244,381,795,669,484,879,486,223,865,
253,616,553,303,603,577,759,981,600,737,168,230,428,095,656,875,249,976,290,
952,507,788,424,632,231,450,450,857,051,226,272,572,660,497,063,338,687,694,
168,178,276,681,267,688,898,380,350,469,839,917,416,883,599,954,408,791,049,
525,179,850,959,798,911,531,934,284,705,975,623,776,990,709,068,906,638,417,
307,822,246,730,119,584,533,464,412,932,538,596,151,086,166,281,550,130,921,
617,593,053,232,744,044,185,474,998,585,759,201,147,949,426,875,066,050,044,
062,478,591,272,445,455,282,342,015,399,482,725,240,148,010,161,954,017,950,
865,754,209,299,882,548,764,703,279,314,382,856,949,161,390,013,616,846,172,
523,890,103,826,820,108,829,548,022,286,702,808,746,127,734,538,367,834,820,
283,794,934,956,132,499,776,303,379,548,086,298,856,123,475,826,411,795,016,
085,715,207,290,145,001,769,605,330,208,390,573,510,314,793,108,550,073,637,
326,106,001,483,432,140,557,720,354,609,641,705,204,332,783,974,294,162,990,
527,771,326,658,451,232,486,845,670,363,703,889,173,652,603,826,398,929,491,
195,043,057,434,853,713,408,077,792,293,993,708,422,194,319,022,624,005,810,
276,105,994,286,757,531,384,767,567,206,265,441,316,701,166,565,164,009,730,
991,805,839,688,679,432,273,292,403,887,066,771,142,352,920,869,300,853,050,
641,139,612,576,468,044,435,697,404,894,329,724,003,380,952,314,748,040,844,
356,458,975,480,739,656,411,156,148,347,092,649,604,596,010,095,516,124,504,
321,335,589,535,497,755,792,808,670,251,090,637,390,735,028,488,985,111,213,
084,867,825,990,983,031,418,558,159,342,126,186,293,374,179,268,281,406,505,
219,736,304,548,550,758,055,998,450,750,439,660,148,140,882,943,536,377,455,
471,519,148,296,191,951,578,977,139,101,219,127,555,407,995,379,190,938,074,
199,032,623,717,981,047,182,190,242,608,857,967,300,344,444,653,514,685,931,
284,636,567,593,688,219,710,330,055,262,207,533,319,167,863,254,101,963,536,
991,434,775,922,744,714,766,306,750,812,487,141,093,274,169,598,348,280,921,
273,004,044,576,102,979,638,293,614,017,231,180,406,238,167,221,842,795,413,
805,778,500,892,536,647,933,149,132,355,242,477,668,900,776,116,710,498,508,
896,585,703,290,205,423,052,180,723,672,595,182,893,770,939,567,173,486,712,
638,397,306,162,819,879,948,305,834,701,448,433,004,169,483,074,033,815,932,
466,101,240,946,989,386,842,509,616,374,219,494,945,897,270,194,990,188,547,
186,062,545,598,288,703,408,907,566,788,390,947,782,879,422,054,312,943,913,
323,926,306,026,943,002,226,045,577,247,912,679,944,271,029,395,151,434,117,
034,280,787,868,877,750,532,796,100,076,343,690,851,718,112,968,260,637,310,
353,063,561,318,464,451,390,526,747,816,105,879,892,646,390,866,224,046,861,
257,894,833,643,572,605,136,441,856,803,198,256,697,432,326,701,479,467,919,
740,876,136,351,649,379,688,221,789,071,816,583,112,826,193,695,431,746,291,
098,592,027,683,045,606,319,621,104,246,326,552,444,358,582,110,310,666,193,
275,713,458,411,705,731,692,980,450,971,278,615,716,390,991,952,429,276,733,
670,841,366,453,291,178,262,649,058,458,262,555,141,959,898,640,293,598,952,
239,154,626,284,616,977,896,234,821,147,675,296,050,279,845,234,327,046,252,
255,649,261,166,055,897,934,319,075,499,552,773,898,990,072,691,368,303,170,
251,929,025,345,341,430,970,973,839,021,016,035,450,667,259,568,812,766,221,
689,247,040,963,853,944,532,538,534,020,444,594,897,563,870,718,419,272,665,
498,632,937,334,288,893,651,599,093,528,048,931,882,822,147,159,968,286,208,
792,605,531,882,450,028,074,635,515,397,469,306,985,617,359,161,065,061,641,
269,728,397,058,955,336,388,763,182,114,658,295,876,182,716,144,308,292,602,
568,668,330,118,016,031,940,200,277,197,944,721,182,632,349,974,699,300,938,
546,668,488,107,978,058,775,006,436,235,502,170,958,385,137,964,107,528,860,
637,422,202,855,265,348,193,991,624,993,713,572,348,999,424,611,080,867,014,
315,150,706,765,895,677,987,842,458,338,724,904,722,940,140,142,217,424,872,
535,522,136,549,810,721,184,463,383,371,671,160,161,655,120,348,208,709,402,
556,968,918,747,124,593,423,276,787,681,088,521,146,625,613,581,199,318,743,
616,515,762,366,304,711,472,429,439,353,243,970,673,068,707,754,880,531,668,
410,793,580,917,413,071,028,913,117,901,802,977,319,532,659,968,212,318,880,
974,632,356,069,284,335,643,571,446,945,659,420,882,193,849,116,530,932,612,
178,848,244,509,089,475,305,142,860,755,691,622,419,855,550,251,549,392,249,
754,697,878,299,337,706,665,943,469,559,166,061,373,502,714,709,824,140,438,
687,062,221,939,865,293,025,625,373,627,808,418,886,836,971,794,854,851,048,
964,109,630,071,776,892,083,382,444,195,560,531,356,916,891,953,979,730,445,
289,755,671,849,886,439,066,929,397,059,036,783,351,237,079,058,899,005,394,
145,304,876,001,089,957,397,738,492,374,087,288,185,961,732,037,234,320,217,
669,088,359,619,395,289,210,542,782,855,095,400,905,716,212,843,140,882,678,
535,447,103,369,671,338,469,668,686,551,026,380,881,768,737,261,769,331,324,
101,962,220,150,485,379,027,759,089,093,201,726,244,359,376,372,513,894,578,
642,971,325,795,740,579,735,244,416,792,718,595,497,503,286,538,753,187,916,
486,581,941,960,927,978,794,789,681,967,170,079,321,237,434,303,616,990,440,
706,689,636,521,592,484,976,990,492,545,207,807,029,709,472,924,050,102,557,
625,068,162,581,614,539,449,068,765,196,534,680,982,279,685,571,931,852,515,
496,187,181,438,572,450,275,040,578,370,288,541,119,636,290,775,738,039,763,
858,302,572,596,079,191,466,795,521,946,823,265,431,274,062,422,380,875,585,
730,718,929,534,600,646,753,263,048,508,462,392,174,387,285,530,060,805,178,
210,832,342,734,671,807,681,146,779,737,658,379,917,941,349,156,154,676,392,
632,395,651,534,579,265,044,972,065,937,564,622,018,087,518,034,985,325,833,
588,429,098,395,510,567,474,057,757,526,993,486,154,793,112,349,842,310,280,
564,473,606,405,746,317,731,260,894,622,589,126,266,531,466,713,994,709,958,
489,050,331,030,819,339,864,602,008,381,232,758,603,730,489,953,326,333,555,
573,385,154,887,813,066,447,662,322,888,143,495,696,049,741,056,036,165,811,
209,802,011,045,583,633,766,241,137,698,568,834,841,101,329,585,095,774,646,
189,478,018,518,380,111,863,642,857,489,959,146,878,793,507,934,555,614,390,
839,155,162,782,251,490,565,005,539,825,435,291,219,733,837,455,452,646,220,
727,373,713,592,878,730,355,895,204,033,261,973,729,147,164,446,832,195,683,
724,383,294,042,983,548,889,664,328,295,849,044,656,265,379,206,586,216,621,
818,359,686,358,068,390,690,438,934,741,542,353,994,287,146,516,287,614,613,
874,263,809,185,124,205,366,559,017,574,071,569,151,622,824,996,757,794,235,
838,672,896,261,785,314,465,881,274,792,375,500,066,680,733,360,300,386,770,
875,884,212,755,097,305,830,408,772,323,657,019,933,246,572,007,521,789,317,
870,251,776,185,659,704,881,139,474,425,524,873,770,332,422,191,103,877,881,
117,311,681,077,114,766,862,367,252,116,483,508,713,559,035,222,290,965,273,
653,888,822,344,912,250,025,624,780,224,555,449,980,092,327,518,276,208,521,
234,442,525,442,961,481,759,858,531,290,970,890,485,246,219,875,334,560,362,
798,298,545,608,064,899,370,421,355,882,802,350,823,750,243,078,458,547,684,
054,068,848,650,335,061,822,319,424,387,054,231,982,981,478,416,064,057,072,
507,695,306,877,892,397,893,620,135,749,439,849,312,687,891,301,600,140,529,
185,143,908,581,303,744,306,105,967,895,102,496,938,086,613,577,765,468,610,
676,943,652,918,742,314,480,239,157,278,360,390,666,095,114,737,195,211,256,
246,411,558,384,057,554,157,967,510,213,161,356,465,311,235,500,168,813,574,
078,952,982,491,308,727,115,623,781,313,270,923,287,351,627,347,160,291,849,
432,040,644,681,169,630,190,554,438,617,179,032,201,129,744,096,986,004,262,
706,225,840,499,002,853,646,259,147,841,684,845,176,923,663,141,673,495,115,
995,692,032,988,326,834,279,414,568,027,261,694,599,346,052,673,628,909,469,
768,643,549,142,330,812,527,872,358,038,870,421,521,581,432,893,420,287,995,
802,064,950,009,183,294,240,421,675,327,719,292,287,964,374,671,404,269,974,
773,940,852,294,736,256,533,103,615,432,893,377,829,214,746,758,029,127,591,
687,424,642,704,052,133,694,947,669,965,717,813,419,288,060,601,069,690,953,
414,007,284,948,935,968,554,619,836,894,998,592,760,843,362,508,219,440,507,
587,274,608,353,923,409,289,624,629,002,269,593,659,043,351,427,943,087,436,
804,443,061,742,914,592,696,128,211,631,779,280,233,564,477,966,053,037,329,
955,012,806,841,771,803,022,890,393,928,405,987,740,543,088,508,392,243,050,
480,519,179,064,068,055,405,585,761,905,074,437,091,101,083,542,585,276,136,
937,781,829,386,188,486,704,825,656,059,084,430,154,750,459,318,308,944,391,
629,987,546,363,618,384,469,630,479,511,288,157,526,067,288,229,647,370,444,
376,310,671,412,974,108,670,059,224,019,160,790,776,867,123,987,220,755,035,
822,921,823,980,964,972,280,223,736,909,346,124,610,061,334,560,972,024,320,
818,554,061,142,229,072,156,593,330,820,234,436,548,228,396,854,845,897,762,
027,121,316,414,616,275,407,630,614,552,278,621,535,590,281,269,444,469,976,
130,288,902,430,992,507,141,942,453,762,739,899,530,080,428,865,661,534,365,
446,321,071,151,703,274,270,648,199,894,015,740,847,513,978,804,176,899,069,
447,834,897,030,366,754,636,820,105,589,101,564,014,163,739,450,131,688,855,
202,082,076,284,384,935,215,229,313,460,326,176,275,248,414,563,290,330,090,
402,848,946,436,053,239,112,356,831,682,121,979,835,886,504,307,637,780,434,
787,567,112,518,732,565,581,282,365,076,184,163,333,967,124,074,251,182,544,
246,553,480,507,834,533,107,188,095,729,455,093,389,399,057,107,752,092,304,
752,534,665,283,409,631,623,695,024,041,846,392,432,988,561,102,112,100,351,
839,460,905,971,682,277,660,576,937,493,775,115,934,313,305,402,520,946,771,
630,174,602,335,608,120,705,189,643,099,398,951,349,066,221,230,808,471,957,
552,318,444,245,843,989,379,039,370,730,080,103,962,663,587,727,836,605,954,
048,885,683,958,904,273,809,871,713,674,565,246,361,458,259,073,908,881,944,
796,660,662,118,844,280,176,972,290,412,807,681,416,778,952,226,860,873,845,
739,032,521,080,423,219,228,589,683,788,912,280,422,841,018,890,858,762,475,
894,303,101,854,055,913,775,995,092,150,821,866,076,417,787,524,051,520,426,
795,349,374,294,048,237,367,906,200,579,540,545,758,912,340,007,833,356,127,
883,010,832,538,421,663,148,721,401,384,344,703,151,238,317,328,882,223,031,
376,729,761,644,066,646,307,522,202,690,167,990,508,071,936,970,962,304,301,
054,978,053,486,305,433,857,979,827,052,057,515,841,566,352,764,197,091,133,
602,410,303,616,439,974,273,848,457,644,040,262,161,169,205,001,018,362,197,
063,489,769,129,990,454,420,360,590,829,964,070,326,368,991,441,087,982,625,
789,431,644,778,377,564,250,252,654,473,938,140,736,874,696,069,707,766,323,
029,610,814,079,639,859,513,801,044,137,740,613,348,539,221,704,700,817,877,
537,770,632,550,487,993,665,282,363,791,398,971,045,144,113,337,457,515,530,
980,192,700,085,350,242,655,112,012,656,736,042,457,704,305,925,240,384,339,
250,409,642,910,794,390,633,980,314,608,438,999,480,372,094,572,874,350,217,
404,659,680,979,393,953,063,314,191,229,615,358,576,380,825,955,048,736,449,
780,485,350,443,556,444,106,195,691,831,360,357,206,448,488,353,689,607,508,
607,630,246,343,063,546,920,288,620,860,422,392,465,019,030,249,183,952,176,
789,747,995,536,222,113,542,092,846,205,342,156,264,775,632,560,315,556,145,
408,394,124,163,232,358,271,625,944,682,636,719,700,014,716,264,814,296,797,
706,601,651,662,216,157,993,468,537,923,250,264,242,878,571,754,604,606,067,
454,968,828,046,126,217,647,161,917,412,170,185,208,673,650,094,890,300,227,
632,275,017,621,585,722,460,945,826,646,139,567,457,348,861,524,543,431,135,
231,207,492,321,266,497,179,991,542,945,242,679,562,435,874,666,626,698,887,
474,676,954,464,208,938,321,623,773,071,247,783,004,034,541,891,401,212,424,
616,566,862,208,816,335,754,855,989,367,057,197,013,210,157,440,465,564,400,
194,404,150,170,611,722,466,577,079,853,068,636,012,684,260,775,931,445,807,
200,321,182,395,547,167,936,872,275,152,255,876,119,801,651,332,740,027,656,
094,557,301,775,189,331,502,585,835,934,738,152,930,010,983,982,020,047,819,
025,632,532,007,453,695,781,200,488,753,771,949,833,426,321,058,853,399,439,
562,120,839,578,929,381,846,954,083,444,321,639,205,254,022,897,424,484,794,
789,683,820,921,761,008,342,218,121,415,779,141,190,437,405,535,524,238,954,
818,961,289,598,496,624,330,355,856,939,704,459,155,655,580,942,258,557,749,
988,887,551,018,853,059,347,589,530,110,099,175,066,310,688,297,087,406,832,
703,047,379,044,519,615,066,603,109,709,595,969,245,601,312,065,113,419,665,
667,294,166,266,736,732,477,724,367,950,384,275,263,266,946,634,160,489,732,
137,036,737,207,469,891,092,662,690,189,908,336,434,757,222,123,018,159,999,
402,324,186,872,073,194,498,658,065,404,305,211,703,767,904,301,245,564,024,
313,948,672,067,420,805,738,483,981,577,008,574,333,081,274,696,010,514,438,
523,879,802,419,778,487,326,083,299,759,240,258,519,992,089,168,613,762,428,
367,520,960,240,354,901,906,984,543,028,012,860,331,377,840,453,252,259,341,
892,079,558,139,540,232,912,510,297,456,049,370,850,914,461,588,892,495,842,
027,198,272,685,472,660,747,002,800,686,458,386,524,431,557,908,534,862,421,
164,575,741,321,991,463,836,089,794,721,019,396,579,320,453,170,617,819,669,
124,741,838,795,877,639,251,033,001,167,240,565,837,888,991,924,606,467,258,
585,582,965,768,366,007,720,489,602,649,792,863,821,634,944,963,538,763,372,
644,623,186,852,554,540,905,449,039,786,066,183,297,705,783,567,202,500,212,
928,131,485,624,732,971,066,786,812,106,688,553,239,286,456,043,619,887,710,
316,479,476,494,391,269,393,651,828,184,998,277,069,003,351,300,759,292,119,
140,938,838,255,037,934,740,495,825,373,394,723,011,713,473,022,672,331,461,
152,565,394,702,867,606,234,617,429,323,516,157,385,790,872,594,350,025,400,
345,727,072,935,578,523,376,854,189,315,056,738,838,761,799,088,015,320,274,
791,376,000,399,744,161,575,912,005,383,411,949,290,063,845,728,571,328,455,
407,028,396,591,113,408,560,036,452,081,382,401,690,460,654,271,079,111,394,
366,547,780,979,756,799,871,335,791,761,020,955,242,019,930,301,159,081,313,
004,649,812,459,792,376,328,338,678,747,182,378,941,260,311,073,365,355,811,
198,505,788,259,033,782,899,079,983,067,387,395,057,835,773,704,221,718,822,
129,683,956,469,898,483,266,596,626,432,582,009,922,219,125,684,152,561,607,
169,642,844,596,386,865,102,588,446,432,884,759,558,213,074,128,188,559,653,
147,878,654,611,753,282,149,985,755,882,788,631,978,503,899,666,725,409,117,
791,475,852,929,377,527,115,971,235,216,522,523,022,999,408,287,574,729,686,
106,443,657,640,585,733,740,007,262,141,076,562,418,235,184,960,158,149,046,
980,211,348,525,491,448,668,664,190,744,193,205,804,909,891,104,946,855,078,
166,508,424,486,094,227,031,911,761,401,204,171,007,826,872,961,464,328,963,
728,762,574,534,070,832,498,735,939,548,312,194,869,951,438,824,360,340,199,
608,392,822,576,543,326,250,114,996,827,903,494,183,384,211,733,610,627,795,
338,168,265,410,110,446,919,266,220,174,657,085,929,363,459,379,105,046,413,
865,446,181,185,432,253,312,658,169,482,207,287,681,895,092,405,757,339,895,
969,159,148,309,416,607,158,654,072,370,525,319,104,343,146,743,014,350,563,
385,529,496,363,379,388,236,335,971,725,063,603,324,392,861,060,634,455,233,
682,260,436,395,415,863,951,648,134,992,895,320,885,038,316,276,036,227,265,
673,716,678,676,159,073,861,618,886,703,260,453,389,946,063,409,724,523,934,
164,867,041,794,427,237,298,340,045,387,452,147,752,244,801,333,665,093,207,
751,799,799,170,520,832,496,600,180,251,089,790,994,114,966,229,584,660,557,
095,589,701,234,300,079,566,336,504,294,765,923,626,698,283,348,010,886,714,
366,470,558,766,466,056,733,107,950,540,530,904,302,766,281,498,008,366,633,
483,037,060,619,878,599,852,793,888,633,351,253,205,124,182,272,589,446,225,
358,165,019,998,113,689,446,768,128,294,243,681,092,727,244,501,596,226,156,
190,974,933,136,132,594,448,124,102,715,242,783,673,764,181,330,474,062,343,
069,367,123,401,273,034,643,529,069,023,576,790,164,367,947,900,435,910,982,
570,602,971,998,831,315,860,236,709,838,736,839,678,322,363,930,614,109,639,
127,388,167,733,661,823,291,279,386,598,081,075,636,170,038,265,212,564,281,
519,181,077,764,460,968,084,135,077,491,663,860,823,424,190,538,526,134,245,
900,186,031,239,819,108,005,212,615,835,625,928,857,685,193,861,275,344,728,
408,636,238,284,490,813,736,691,238,615,642,742,987,058,988,104,788,498,783,
640,663,625,041,238,451,127,071,888,280,177,414,381,174,259,815,138,213,031,
126,347,334,089,457,597,010,723,894,980,940,830,900,888,649,340,218,568,822,
315,482,426,773,286,888,089,439,144,910,270,607,181,730,168,123,914,301,187,
126,833,833,197,825,221,950,157,147,848,809,936,906,210,727,286,169,472,638,
455,123,028,259,862,528,662,737,614,507,206,922,584,348,107,455,223,966,795,
651,328,197,751,150,225,013,974,819,914,548,991,399,931,122,507,653,350,768,
011,515,108,996,984,843,230,285,864,675,157,025,591,383,519,613,247,734,809,
701,110,351,754,306,872,054,750,575,374,803,481,010,171,604,283,043,367,736,
918,247,153,732,546,481,785,469,221,783,965,498,960,579,305,817,702,187,182,
295,162,182,964,628,815,385,314,383,708,786,673,999,673,153,377,581,074,300,
416,630,215,010,541,335,616,730,172,205,478,443,783,969,849,479,563,141,333,
107,652,027,554,148,491,561,316,198,791,841,790,162,233,123,442,419,178,532,
379,603,293,741,406,695,910,656,492,073,879,956,961,544,810,645,653,464,179,
120,396,836,612,675,678,144,086,820,100,370,826,587,289,691,554,630,856,285,
214,448,078,929,990,043,916,406,658,490,223,626,660,993,237,640,032,840,634,
843,098,863,229,163,827,115,339,398,900,534,493,225,231,448,591,680,022,874,
196,384,972,572,346,220,524,447,425,799,876,198,959,189,798,615,316,692,740,
541,696,594,722,703,201,373,372,656,641,804,949,072,749,492,958,893,897,575,
790,708,760,407,896,865,056,312,536,389,005,581,608,852,259,954,906,289,877,
447,434,256,396,458,147,998,319,204,234,849,288,315,623,961,844,361,797,819,
914,411,716,057,953,381,568,629,062,116,277,219,056,782,929,095,883,354,416,
574,306,394,016,213,761,335,360,739,349,261,982,470,046,889,951,650,366,858,
161,969,352,388,994,521,874,038,373,648,276,654,752,840,108,599,099,701,497,
664,287,570,023,812,375,850,432,408,297,258,532,497,485,829,683,214,994,522,
625,360,807,800,773,713,819,305,408,984,063,107,790,437,456,392,905,680,852,
895,840,466,581,543,994,506,239,941,245,692,758,570,126,467,167,544,352,979,
998,025,753,759,058,979,309,282,934,448,334,831,918,035,746,035,185,778,423,
300,866,483,846,451,556,952,915,749,596,429,690,432,594,399,570,489,589,728,
234,169,191,597,913,903,934,601,426,291,192,181,526,307,728,175,685,245,727,
704,354,412,745,769,472,508,335,693,176,880,248,649,309,184,426,017,114,360,
866,279,092,791,749,870,027,636,813,356,195,097,875,237,328,792,025,158,696,
027,930,330,034,868,298,507,383,644,413,571,233,898,511,768,307,151,923,909,
229,807,898,723,366,332,363,504,039,848,530,110,797,623,194,934,875,227,021,
005,324,323,846,388,094,526,904,858,575,400,686,725,462,730,608,752,186,301,
391,194,293,614,743,321,280,951,659,093,422,255,321,302,737,096,183,662,294,
700,436,031,212,433,851,477,421,943,470,601,798,974,464,868,213,589,581,914,
416,738,253,233,276,466,451,285,891,318,807,188,247,118,925,973,729,839,586,
904,642,735,621,845,785,151,554,400,145,445,943,591,101,740,745,949,996,773,
390,722,181,085,296,634,115,105,815,910,677,564,390,672,175,194,012,070,452,
333,530,915,586,865,957,825,176,839,244,997,370,177,654,042,708,634,076,350,
536,811,938,662,899,643,532,319,975,929,550,367,500,711,925,217,821,184,175,
027,302,932,080,322,933,745,458,440,586,684,988,877,544,542,726,793,046,701,
768,847,749,783,111,025,413,020,408,962,305,297,981,455,193,591,461,297,459,
309,244,713,359,069,776,940,017,882,998,814,780,338,568,684,039,556,478,525,
601,019,599,736,640,240,190,895,895,213,215,121,490,131,581,764,161,317,078,
865,951,471,938,083,706,807,608,388,453,264,835,784,525,045,609,620,377,282,
327,487,883,163,141,594,566,903,187,857,361,496,106,995,756,468,804,425,047,
588,008,058,363,191,431,672,256,516,164,500,802,288,647,124,143,021,109,209,
081,912,114,617,115,369,491,275,025,599,637,901,549,183,873,442,237,982,656,
465,548,438,034,588,052,436,928,533,321,160,546,387,490,149,323,794,088,630,
676,085,693,381,578,932,623,838,107,973,497,228,635,578,378,263,998,068,746,
422,924,430,373,910,757,223,184,064,633,609,480,692,128,713,497,799,746,048,
335,233,383,595,440,975,429,635,684,923,226,352,600,824,484,993,401,753,178,
328,555,392,869,527,015,959,776,616,995,159,001,338,895,907,894,913,333,470,
490,434,429,659,371,005,672,490,267,526,575,302,464,026,375,744,124,250,810,
185,892,545,823,682,477,516,557,599,871,769,431,392,909,806,108,889,522,121,
422,311,535,049,435,339,659,540,289,175,426,994,592,762,482,008,441,730,883,
262,643,461,179,493,841,686,100,205,785,364,951,376,263,792,532,946,721,573,
435,649,003,254,837,728,236,647,021,491,971,497,921,715,714,420,866,879,359,
305,014,044,764,978,457,088,790,848,566,022,785,480,287,181,664,195,819,349,
586,596,382,004,847,051,177,901,777,550,464,506,441,648,220,796,756,848,197,
363,805,288,500,596,355,591,117,125,629,832,648,861,239,332,907,714,877,561,
797,331,171,088,528,798,689,170,811,645,790,065,241,284,356,655,352,555,708,
960,551,758,320,674,640,065,430,015,287,918,180,220,487,618,740,098,770,512,
962,415,880,177,054,208,395,798,690,881,755,893,600,561,792,241,487,846,505,
521,248,235,598,117,712,428,284,297,084,465,399,811,716,765,782,697,410,866,
931,151,595,525,444,404,406,518,081,469,005,266,903,140,612,840,532,528,950,
219,139,271,346,459,115,360,048,597,467,557,235,459,796,155,577,281,807,650,
775,526,838,466,327,812,904,080,638,627,194,018,426,435,854,291,483,636,188,
297,298,792,677,845,133,554,278,447,347,234,107,891,965,147,662,812,629,889,
340,928,753,432,753,200,352,610,527,738,821,492,882,109,963,256,946,713,717,
030,539,099,490,990,031,794,610,688,735,008,633,631,425,085,285,884,064,384,
863,041,368,631,924,321,277,361,616,053,616,910,222,769,509,190,842,689,492,
031,068,045,569,952,050,721,568,652,821,041,658,723,978,345,924,487,849,661,
709,132,908,675,931,429,404,458,023,638,083,211,971,190,269,371,610,658,832,
080,292,938,387,410,487,484,100,575,161,216,554,802,093,240,105,069,910,724,
560,860,793,278,065,973,024,843,215,313,595,207,510,455,216,086,546,509,783,
490,775,559,323,779,658,359,985,431,619,030,588,095,959,997,044,039,672,867,
088,017,205,740,846,901,091,941,131,875,173,477,632,101,607,637,820,505,765,
275,246,412,976,515,266,888,669,566,542,168,256,235,270,605,328,514,801,099,
538,132,266,763,516,353,295,436,642,791,664,032,167,961,050,326,895,752,010,
748,629,505,097,863,332,746,279,563,293,532,086,867,245,986,620,833,150,729,
904,368,637,969,513,435,041,512,190,735,472,035,094,437,408,749,225,074,624,
884,746,876,470,877,217,626,343,717,343,147,956,483,996,432,556,262,692,350,
751,793,991,440,570,268,601,949,195,441,294,115,605,699,802,920,415,541,523,
267,756,942,637,457,716,306,389,994,480,332,643,614,522,911,284,963,203,831,
779,494,360,277,168,286,521,291,435,116,265,049,471,538,499,282,812,138,621,
290,957,040,813,210,010,733,033,983,592,751,715,615,011,132,784,368,175,854,
165,927,930,974,696,282,074,070,143,691,378,567,763,453,585,964,596,990,006,
873,221,489,762,565,014,668,082,834,716,725,078,062,145,357,248,199,303,549,
609,278,576,501,950,786,422,709,667,637,482,835,889,660,242,079,570,110,082,
703,951,227,369,126,321,334,459,389,679,237,161,415,460,956,436,649,495,803,
328,693,592,292,343,726,946,836,282,511,916,814,298,486,907,070,619,014,111,
634,589,543,712,810,417,160,831,062,619,561,075,408,696,191,792,772,859,136,
039,528,465,135,487,115,082,740,419,995,425,962,472,326,981,984,800,417,428,
621,018,768,144,732,991,441,517,818,178,255,097,090,583,706,830,758,098,663,
242,102,636,963,447,238,464,380,691,540,539,727,187,842,659,065,336,545,585,
460,439,665,710,948,556,307,363,754,752,187,714,451,532,051,487,174,460,135,
309,678,364,954,181,058,040,776,026,790,678,676,921,269,849,228,896,335,377,
336,572,124,276,139,064,801,180,406,541,172,320,810,242,847,805,380,298,564,
924,668,100,254,125,982,252,948,937,582,688,749,783,286,979,435,823,014,518,
841,685,083,452,116,861,091,790,367,406,027,135,965,175,970,798,793,797,048,
561,923,550,622,406,152,380,832,996,726,624,945,992,628,829,395,552,048,765,
662,044,425,982,190,575,067,344,925,667,300,532,071,623,274,243,314,615,347,
337,866,214,438,702,345,744,447,600,506,523,923,716,017,572,058,790,634,137,
648,686,668,816,975,836,342,980,552,482,741,999,985,535,291,924,087,574,393,
532,324,603,988,381,154,208,653,189,824,484,678,819,758,693,216,141,956,226,
820,017,264,027,769,660,072,508,643,643,906,372,639,684,223,952,643,666,600,
588,191,342,940,152,903,146,193,583,631,619,120,081,377,589,056,914,433,424,
759,164,142,216,237,574,291,010,768,563,455,555,121,342,983,046,524,156,145,
259,546,032,526,784,752,326,330,348,836,807,947,806,659,742,897,205,547,920,
364,264,284,771,556,833,960,097,337,690,002,199,959,377,514,048,639,282,214,
887,627,400,825,920,782,384,237,369,175,855,254,212,665,693,351,598,029,829,
213,275,782,140,500,079,426,341,510,344,486,661,570,852,967,847,191,319,409,
598,238,709,208,002,101,374,910,502,731,679,364,158,713,814,441,638,215,540,
901,762,539,714,505,662,761,577,528,889,182,064,531,640,090,328,598,512,012,
813,722,327,606,282,579,113,427,575,296,440,350,179,501,783,288,426,705,217,
864,008,671,797,436,738,659,237,700,701,001,975,662,759,350,118,642,397,464,
860,681,456,735,676,342,491,545,085,940,280,699,888,114,709,720,298,274,130,
518,583,245,953,686,023,330,639,284,259,400,655,227,626,966,584,504,299,594,
594,637,024,335,526,650,161,054,066,309,599,041,134,253,143,077,602,969,899,
732,911,587,405,974,433,766,256,477,845,844,999,201,027,463,393,574,767,212,
493,919,338,294,225,118,848,501,250,309,256,655,554,280,103,488,935,644,058,
660,066,893,213,317,675,574,330,949,383,161,017,023,222,363,636,021,242,615,
584,846,631,408,309,741,522,689,205,902,892,001,978,798,984,574,639,485,013,
723,961,843,106,194,662,058,382,816,326,060,835,066,482,826,903,784,149,259,
894,375,339,251,625,531,936,542,073,409,111,754,443,855,461,789,837,925,619,
688,007,953,044,835,874,794,654,505,014,296,182,183,253,036,989,676,173,691,
989,037,653,472,271,313,361,902,987,593,681,678,470,741,612,638,422,924,640,
867,041,737,060,415,690,150,281,567,566,107,777,358,682,326,501,678,094,963,
709,459,638,246,500,832,154,431,816,680,977,901,842,882,291,598,028,601,236,
886,868,966,158,241,880,570,250,601,624,233,265,357,770,419,844,919,630,339,
244,789,921,549,335,845,603,821,077,972,342,184,991,192,091,038,972,836,589,
010,822,216,885,250,475,922,745,508,697,881,428,641,236,757,474,594,153,201,
902,377,339,552,128,003,000,860,299,260,199,397,902,350,634,152,445,467,265,
272,122,609,622,626,530,152,057,890,185,547,321,531,175,735,400,167,897,813,
045,187,400,925,628,673,799,757,933,917,852,015,341,245,753,205,036,807,657,
954,290,143,401,777,094,460,120,311,087,777,020,210,256,821,387,793,885,875,
481,978,275,542,245,210,230,435,265,057,124,894,503,943,858,399,301,019,396,
443,403,162,634,833,203,372,514,804,272,697,298,127,985,437,497,682,300,107,
580,137,957,873,112,879,779,855,244,321,136,692,731,501,083,020,540,208,567,
225,203,640,900,526,055,591,108,674,417,935,623,310,563,538,510,140,437,767,
376,559,136,570,507,022,018,289,234,459,235,698,833,620,996,503,903,344,699,
376,865,169,177,661,006,842,754,365,625,073,547,160,166,180,691,673,864,414,
161,456,147,376,129,475,653,651,092,196,793,192,566,729,357,776,747,146,399,
995,420,360,410,712,071,831,416,396,521,680,644,086,022,682,924,810,092,012,
494,072,651,533,096,855,961,348,892,125,096,157,926,625,572,205,251,808,265,
932,584,990,131,461,720,500,001,744,926,035,691,267,585,336,689,683,166,669,
052,322,511,405,312,863,865,003,870,555,352,689,919,312,788,243,560,149,205,
364,037,919,790,710,461,407,196,100,896,161,107,652,347,262,168,781,324,178,
884,988,719,175,126,459,844,604,733,590,572,596,896,411,008,197,141,251,471,
918,862,076,686,061,014,990,212,936,057,762,450,083,759,981,835,895,534,348,
091,267,903,841,074,319,807,792,457,019,041,883,051,896,621,579,626,290,455,
640,808,591,616,878,297,863,998,210,868,887,965,081,999,184,567,561,177,727,
737,184,301,220,644,125,505,600,046,181,805,691,267,342,663,316,645,965,470,
363,927,005,953,494,166,815,718,111,128,421,286,249,051,676,413,570,247,601,
099,955,792,428,034,205,481,187,479,242,314,662,375,405,630,548,244,089,537,
147,935,274,821,619,434,444,767,044,808,389,225,586,107,373,829,036,894,265,
587,650,751,550,556,586,889,101,034,964,573,304,078,702,315,637,816,317,661,
350,515,230,405,200,177,488,172,975,003,687,813,197,517,933,410,654,361,205,
498,441,432,800,427,256,542,946,555,678,251,482,822,038,788,929,553,921,014,
678,046,970,312,861,179,539,172,812,452,108,811,667,589,285,374,619,791,073,
604,847,414,513,386,704,554,504,740,528,976,504,556,450,666,150,201,737,860,
844,997,150,324,608,659,301,131,030,919,840,276,202,280,330,839,737,343,293,
555,111,452,337,378,083,514,089,638,995,804,584,422,167,605,130,978,102,092,
181,922,474,596,646,778,114,884,588,632,964,833,601,591,284,944,824,323,304,
782,467,199,548,251,435,449,478,953,634,666,582,700,872,534,273,567,186,995,
378,558,879,674,766,494,998,879,636,830,506,958,893,490,673,823,026,671,640,
934,538,593,118,366,028,639,880,312,061,255,281,249,157,302,017,254,471,903,
329,948,361,333,765,394,358,231,621,854,910,807,992,831,794,247,547,899,390,
310,451,429,971,918,400,825,627,456,734,123,117,828,173,462,019,808,691,838,
238,348,541,807,887,819,810,737,449,134,476,858,159,958,786,377,794,040,648,
576,415,333,548,306,008,286,297,475,501,829,264,392,405,468,162,684,575,914,
566,654,657,643,329,888,632,206,872,734,477,086,248,820,891,570,789,455,661,
834,927,247,210,096,952,477,384,098,995,515,035,832,213,654,039,346,363,789,
915,333,217,966,499,783,200,392,216,901,423,418,362,559,231,467,618,464,329,
806,612,198,726,962,056,621,430,882,478,070,366,698,615,260,042,523,551,816,
255,997,223,700,740,114,448,387,425,119,791,742,769,691,156,157,049,149,493,
594,445,623,420,334,415,997,206,096,675,958,415,491,467,249,304,472,662,527,
416,674,760,839,069,448,384,958,482,587,298,027,887,326,371,459,369,199,084,
495,814,351,329,915,804,660,616,957,152,685,649,077,818,144,957,613,359,198,
619,470,771,430,703,158,133,723,825,430,793,925,738,688,889,602,636,581,993,
604,262,623,633,325,277,991,296,548,369,481,128,987,254,030,467,715,862,610,
474,661,630,256,426,197,967,418,267,711,240,101,479,327,863,725,283,329,023,
837,299,388,371,879,440,627,597,538,736,139,780,674,578,687,336,892,905,173,
543,568,660,359,371,258,701,323,219,380,117,990,665,486,047,256,887,438,647,
188,373,361,974,452,030,457,025,510,829,237,022,236,949,686,101,685,492,671,
262,684,732,798,365,625,393,221,195,471,103,626,242,486,833,738,120,899,889,
537,640,458,247,199,450,444,440,469,282,550,089,114,951,710,171,756,749,151,
850,459,048,585,204,002,211,074,136,825,839,872,399,814,382,868,714,524,601,
717,659,041,317,831,700,849,562,699,772,827,596,831,096,075,573,026,492,961,
831,429,666,617,831,352,335,651,125,357,064,327,767,603,085,285,603,469,448,
285,553,248,339,532,104,116,763,129,675,239,076,332,493,795,561,792,617,278,
851,097,276,339,479,523,819,709,833,912,079,607,127,987,854,562,921,103,008,
184,089,674,182,705,777,697,311,082,572,340,548,377,801,302,467,111,284,201,
736,218,793,806,371,849,298,591,508,005,798,013,348,286,254,235,546,615,121,
375,315,931,339,442,150,421,539,387,173,201,256,352,930,208,224,763,869,172,
882,343,106,770,604,398,203,282,707,340,491,437,008,561,056,855,549,881,618,
362,266,623,721,880,325,584,204,598,646,641,990,029,949,811,087,963,013,876,
879,445,672,870,754,201,433,365,834,697,327,520,981,322,418,873,689,024,873,
443,383,844,572,356,912,747,607,960,139,987,238,575,742,458,234,207,663,436,
967,420,404,543,035,130,037,985,915,611,315,722,068,079,536,242,743,433,203,
972,222,033,860,778,310,516,436,973,593,754,888,012,560,877,928,118,686,419,
787,533,613,634,832,487,141,041,249,627,418,635,733,684,082,110,539,884,354,
683,852,351,379,630,426,039,620,975,083,027,573,491,773,080,440,272,756,436,
921,193,421,364,271,501,118,180,861,251,331,290,889,442,149,596,088,769,274,
834,759,142,293,763,101,319,151,468,470,918,656,811,414,604,188,440,878,813,
772,568,474,291,416,511,855,441,076,990,675,242,785,341,099,948,033,039,850,
631,676,311,499,803,965,596,579,207,460,613,587,783,182,617,448,435,644,115,
705,806,302,111,018,851,748,177,748,245,804,445,437,479,884,325,411,724,017,
702,883,642,732,371,510,702,630,026,958,667,879,577,901,911,906,601,372,454,
117,920,995,951,974,484,181,394,114,750,484,635,112,846,770,309,858,463,756,
977,929,638,889,749,941,383,627,618,246,252,266,803,931,668,894,644,507,873,
696,226,891,003,193,683,809,183,354,869,079,110,156,755,708,422,892,956,903,
556,302,928,510,634,693,991,362,733,794,645,173,677,933,319,629,639,793,931,
565,037,953,773,078,484,867,489,240,963,593,569,823,241,555,288,717,664,816,
576,534,666,611,960,164,746,619,394,717,371,288,961,932,488,489,128,508,174,
464,683,822,807,914,093,195,751,150,321,892,046,223,910,629,721,042,858,930,
049,622,708,284,065,615,328,930,481,719,010,154,637,780,377,033,616,553,592,
787,792,227,054,865,405,332,854,496,714,892,484,298,970,122,867,569,537,584,
001,819,334,029,812,428,805,063,827,339,998,205,902,454,268,565,459,483,809,
958,169,420,819,404,860,921,025,003,044,555,841,333,496,145,731,101,156,804,
462,038,437,517,055,566,407,685,351,559,206,628,462,198,121,354,142,044,624,
775,019,426,146,080,235,329,035,529,504,819,045,833,528,525,589,232,038,703,
518,205,494,474,106,489,576,569,793,372,227,886,991,039,646,741,406,216,663,
211,654,719,060,105,989,590,633,438,398,096,825,956,128,901,242,537,820,206,
637,015,053,864,313,470,550,435,344,440,622,391,009,626,551,694,748,176,828,
645,165,849,768,223,422,185,910,741,085,276,977,767,108,485,703,863,478,101,
525,471,454,440,420,177,840,031,605,959,163,634,284,485,430,847,607,776,563,
457,169,983,439,894,146,322,194,016,993,727,980,627,799,158,606,996,307,254,
807,603,387,980,603,893,912,953,617,695,958,198,482,155,409,581,118,659,700,
892,993,546,647,471,336,235,665,770,872,702,362,921,638,410,698,650,169,466,
062,722,393,978,199,965,831,662,563,298,049,735,842,716,051,460,235,159,788,
445,353,302,393,190,409,411,770,295,202,377,826,174,046,240,300,174,601,455,
714,935,795,443,897,731,849,305,965,959,308,494,600,739,125,174,217,689,892,
217,498,436,799,136,269,748,616,479,461,958,926,344,606,849,095,553,353,685,
154,011,931,447,956,785,170,631,631,746,468,797,383,652,785,853,374,400,669,
929,677,659,957,407,697,632,301,370,996,244,686,210,696,439,045,572,325,537,
165,172,729,188,561,009,485,369,579,691,650,213,551,766,767,448,346,174,599,
064,019,633,056,756,286,922,435,585,473,312,498,879,688,460,589,350,433,688,
769,678,671,154,032,546,373,197,400,935,148,152,224,158,777,453,104,633,392,
440,502,282,551,936,669,216,676,476,342,914,759,897,088,066,006,361,299,734,
515,733,772,590,245,301,244,935,268,765,873,876,959,018,271,910,357,563,150,
808,037,623,728,740,929,550,982,831,548,996,564,483,783,196,235,239,772,306,
789,384,670,343,703,838,242,437,725,073,328,527,997,134,014,890,649,268,858,
764,734,177,691,363,073,173,214,317,727,305,835,047,227,011,601,940,903,048,
664,394,448,681,064,799,622,672,353,215,726,008,953,929,130,544,111,156,688,
784,678,864,659,288,399,059,588,692,354,694,688,640,631,870,499,302,384,195,
930,012,796,565,439,566,824,413,870,293,197,220,188,208,557,094,808,825,103,
639,067,681,150,792,182,531,047,053,308,089,215,598,382,000,048,428,739,281,
060,706,450,096,350,172,788,340,707,839,028,117,008,302,205,378,891,681,584,
496,598,189,589,778,331,250,256,894,088,653,406,276,443,743,654,896,229,080,
925,370,496,153,156,245,123,894,991,927,954,769,870,958,046,359,117,939,969,
459,458,928,349,243,015,277,949,339,507,166,971,235,676,646,160,003,130,971,
902,086,938,932,235,947,915,956,950,071,176,236,228,384,725,947,050,963,260,
322,117,668,547,102,784,490,386,494,620,148,952,972,377,005,425,259,468,046,
086,767,397,557,318,658,809,863,081,795,458,783,603,784,430,456,101,704,868,
276,720,122,612,927,795,963,607,285,037,326,091,038,108,312,301,943,075,582,
512,780,959,856,407,866,765,979,506,645,409,483,574,976,681,821,534,967,992,
420,619,440,265,508,135,451,167,180,414,123,607,622,912,640,944,077,066,075,
700,170,254,938,291,877,042,098,194,159,054,348,674,146,867,763,058,373,138,
545,347,969,218,361,262,662,541,927,348,282,941,844,864,408,968,772,749,808,
093,063,039,957,695,318,794,305,166,150,095,513,616,562,357,967,807,363,670,
019,298,150,238,172,925,950,122,889,616,755,990,752,856,293,670,258,522,646,
219,437,306,540,615,896,059,800,106,321,395,045,312,641,541,903,329,414,485,
613,815,807,084,489,558,946,484,026,133,485,741,776,826,297,934,069,153,255,
207,877,086,870,398,186,271,898,795,079,929,223,391,678,274,236,995,704,696,
257,260,536,294,816,186,294,714,265,366,106,850,728,657,472,022,705,692,682,
624,963,871,166,209,578,752,735,675,665,008,382,644,470,695,568,824,338,683,
341,684,832,028,377,693,272,801,909,427,437,511,948,016,658,910,905,031,587,
235,235,091,269,710,220,592,352,984,185,738,598,028,778,211,828,863,946,939,
674,164,331,477,383,875,717,698,933,512,779,629,202,121,196,126,333,491,876,
164,628,522,408,219,436,309,453,154,103,081,844,355,849,743,489,488,102,313,
528,156,271,065,356,076,244,979,014,828,085,018,770,608,868,670,213,891,010,
913,701,715,957,808,038,614,726,377,395,908,977,522,866,931,814,955,423,056,
592,953,690,623,742,274,533,098,011,899,823,096,370,727,669,988,241,973,362,
858,920,953,220,762,158,973,589,187,371,249,861,341,428,399,713,240,863,469,
946,112,726,114,198,993,688,756,891,685,252,606,029,281,004,221,524,399,207,
028,613,949,908,886,823,859,347,612,444,185,675,010,042,200,357,217,648,600,
101,550,059,921,944,625,026,096,081,271,116,660,203,586,976,885,291,131,390,
316,961,494,032,211,684,192,022,224,881,426,469,434,828,221,646,627,837,243,
552,342,136,283,639,093,360,127,190,083,028,680,998,671,878,388,378,950,297,
926,382,250,034,558,163,287,851,949,853,775,642,311,554,835,795,963,763,630,
439,262,759,582,180,285,018,448,471,572,779,611,480,778,205,998,888,894,615,
783,244,460,219,032,017,989,314,195,465,512,214,450,976,149,026,269,089,400,
426,120,384,927,464,400,043,875,517,800,019,617,298,971,706,591,397,640,785,
850,619,865,484,473,901,813,354,376,311,700,941,946,253,622,056,823,377,167,
164,138,265,910,552,542,743,167,507,345,445,143,416,788,470,462,484,470,112,
063,105,961,341,086,758,474,265,288,786,994,224,934,754,229,112,703,994,413,
130,183,299,106,203,974,798,441,019,270,493,405,726,626,001,722,778,676,067,
214,311,825,099,116,880,452,823,143,805,732,875,226,600,532,359,567,354,966,
367,239,501,726,102,550,993,797,343,430,154,819,544,171,551,459,701,012,175,
205,264,175,426,328,147,021,757,319,706,840,447,092,859,563,813,866,422,963,
529,709,634,581,068,578,576,665,329,164,802,948,904,944,137,708,420,040,230,
205,979,779,759,976,856,857,064,189,443,352,860,136,859,264,460,505,816,687,
694,669,186,117,967,101,475,161,899,655,960,793,850,143,125,780,416,515,368,
340,758,017,231,870,893,523,613,145,415,474,569,130,659,785,876,371,861,543,
185,063,086,968,000,556,594,917,076,290,912,286,750,241,073,251,179,741,916,
591,215,968,476,779,471,785,429,949,201,138,163,644,996,978,052,256,549,193,
775,166,578,017,444,737,831,382,415,606,179,518,269,494,754,513,581,317,360,
707,471,403,537,861,370,102,039,356,916,622,399,780,794,769,047,060,073,644,
431,752,712,770,723,448,800,727,568,409,277,675,171,798,556,881,841,891,344,
811,590,444,083,306,374,689,552,178,667,382,137,921,617,198,226,845,310,748,
810,192,831,164,189,350,047,474,909,440,813,486,918,680,232,977,415,922,672,
785,617,621,178,091,772,055,633,178,070,721,395,055,330,285,617,956,754,014,
128,720,592,692,638,236,607,609,885,883,945,351,729,167,014,128,158,528,774,
155,435,536,367,394,521,742,702,122,913,766,320,123,203,693,504,973,339,132,
484,803,870,407,515,589,265,027,056,649,316,902,877,566,133,195,053,897,333,
020,350,524,793,521,396,037,682,076,009,303,603,340,888,543,699,373,416,067,
738,440,219,530,664,074,852,093,648,604,821,401,443,673,949,811,902,806,237,
388,759,867,576,194,763,336,857,032,872,122,602,463,539,141,090,773,930,146,
273,000,833,481,954,732,320,567,050,608,400,658,926,701,122,361,808,525,616,
806,626,287,222,740,303,762,434,575,144,773,180,606,420,043,692,266,127,404,
740,476,712,379,882,137,573,038,761,568,894,031,703,874,291,845,106,776,034,
055,388,101,655,170,051,964,256,706,949,067,086,949,883,850,021,974,138,910,
342,229,988,939,438,898,745,911,768,724,419,805,830,058,289,996,354,650,945,
619,717,847,608,334,497,032,264,603,817,408,517,470,959,924,170,403,555,023,
128,492,906,291,328,318,304,817,431,206,588,419,983,950,025,338,459,009,333,
884,315,295,769,273,133,879,789,955,970,286,677,846,779,727,608,704,807,448,
271,366,132,146,124,329,795,477,405,739,085,441,391,152,647,296,692,906,779,
627,953,025,667,791,966,737,127,773,159,473,942,724,641,621,994,196,963,607,
214,923,764,750,129,007,657,109,034,118,456,243,847,495,915,097,818,475,118,
274,852,986,799,296,733,233,218,787,367,275,070,264,308,517,922,808,726,030,
446,312,672,215,349,900,977,606,214,779,684,794,692,584,589,928,509,621,813,
725,513,771,708,776,978,099,354,844,103,147,121,443,385,188,245,157,581,595,
713,081,618,001,520,715,081,794,020,975,363,154,111,933,380,360,314,253,284,
373,997,895,311,788,109,979,133,808,355,999,888,039,257,156,643,790,440,428,
442,260,985,485,435,858,735,107,862,274,411,824,529,715,303,431,104,029,910,
184,115,967,272,239,724,335,164,511,771,333,010,211,537,125,831,323,560,623,
615,397,907,175,524,993,311,124,344,061,196,923,009,574,123,012,427,836,510,
931,925,360,173,180,240,277,582,099,069,067,111,303,166,470,624,365,695,278,
421,966,076,602,752,822,809,126,628,952,700,876,636,748,387,650,134,775,896,
935,284,746,182,126,758,947,282,134,293,741,733,046,370,292,488,766,867,463,
641,530,863,899,638,458,693,805,637,619,500,783,611,640,682,305,637,087,400,
410,836,204,203,989,555,778,905,712,291,575,438,401,998,701,911,353,167,629,
306,361,961,100,953,152,913,157,174,976,970,206,562,243,462,174,067,319,962,
273,744,247,091,904,702,073,949,510,544,280,171,385,416,768,090,116,597,517,
980,613,951,275,139,199,307,436,482,116,213,367,897,218,602,451,748,690,344,
405,887,425,687,682,811,033,420,320,330,480,187,050,107,974,063,956,765,430,
743,501,757,472,035,544,253,410,980,724,581,327,147,041,538,074,115,651,590,
902,973,401,752,309,094,260,740,950,539,260,415,778,462,459,648,758,314,650,
159,445,891,586,851,279,867,853,659,256,887,523,841,458,872,551,202,319,320,
848,827,300,824,493,981,817,808,259,255,430,930,319,872,046,400,976,811,988,
034,011,256,000,098,266,943,459,777,904,366,388,236,569,511,721,381,193,536,
828,058,832,465,301,641,987,208,183,272,581,900,438,498,060,491,537,072,941,
015,213,770,301,595,964,739,306,258,050,827,932,745,118,353,241,004,474,342,
284,502,134,221,216,038,812,295,089,037,451,836,038,242,529,695,992,183,139,
364,259,959,762,557,006,231,715,357,429,581,851,986,919,942,735,942,741,850,
376,645,241,173,800,954,579,581,479,182,628,641,722,126,365,994,162,426,431,
422,581,733,617,342,079,585,278,718,347,990,800,010,684,370,935,405,823,436,
741,757,271,016,794,320,190,835,354,868,715,400,208,584,800,936,786,211,016,
842,494,477,349,643,731,307,354,242,651,184,677,832,280,951,565,474,077,560,
274,365,010,809,836,136,750,524,471,603,607,375,443,706,309,694,497,613,490,
102,474,967,887,073,150,635,817,727,459,795,806,096,712,544,848,797,333,564,
846,748,242,490,776,048,708,646,056,270,068,432,039,321,511,058,342,583,922,
210,567,860,037,969,049,549,700,068,415,063,179,082,220,287,588,913,389,663,
762,967,521,380,414,756,695,197,483,878,385,080,371,384,181,431,614,857,122,
029,847,736,876,390,821,917,283,522,974,481,937,756,791,101,387,749,175,041,
529,334,054,370,833,487,703,150,669,025,109,869,616,807,414,762,995,304,033,
250,637,722,345,370,252,790,936,150,853,121,300,996,198,985,868,607,007,567,
986,785,406,703,527,545,695,930,804,475,832,233,507,366,090,695,083,672,840,
004,339,382,505,423,429,955,638,761,947,816,935,155,063,003,437,465,338,442,
737,033,136,732,068,136,032,316,542,328,416,866,482,064,320,531,365,433,095,
993,552,208,210,992,302,912,754,571,737,401,743,049,591,272,495,767,443,037,
761,501,955,616,216,442,167,273,751,847,200,648,618,689,587,269,295,919,676,
763,372,955,838,090,446,050,511,641,498,211,197,908,216,732,880,188,241,811,
966,533,140,058,748,366,819,152,511,989,279,096,990,992,411,224,711,337,664,
160,473,677,710,387,902,529,609,088,893,121,901,280,574,082,038,869,791,524,
683,263,783,670,823,446,497,582,660,387,496,330,271,186,309,989,926,773,130,
808,244,995,769,860,668,213,924,870,261,597,595,366,314,581,111,259,878,409,
552,768,533,495,060,163,327,360,361,633,887,582,198,674,038,950,204,628,276,
481,248,680,891,083,963,964,315,699,337,419,767,077,260,054,090,198,692,346,
436,112,948,302,093,486,607,832,363,766,958,339,625,110,270,381,553,647,709,
619,437,004,924,704,368,837,006,879,808,938,171,152,885,168,148,670,426,662,
667,288,286,333,269,400,549,135,639,079,900,462,215,234,302,403,867,516,734,
559,504,225,226,774,328,913,834,756,494,667,378,354,389,713,685,006,126,700,
653,653,948,722,349,330,091,492,436,344,004,728,740,588,188,248,478,891,303,
649,831,824,686,976,328,285,507,096,966,059,295,902,217,660,751,789,032,204,
352,753,131,059,646,875,433,649,155,477,382,351,810,515,054,827,333,037,936,
507,964,430,671,363,815,172,394,503,431,305,658,045,477,383,797,929,981,787,
583,907,283,340,683,862,142,152,112,056,395,876,012,554,032,322,672,536,984,
082,166,132,265,043,070,975,179,064,745,781,964,720,148,422,334,472,670,583,
706,372,497,129,092,365,755,368,363,023,670,374,042,320,144,058,527,058,035,
725,790,071,819,153,650,071,205,236,623,101,467,490,682,288,746,930,067,833,
320,296,526,134,607,177,151,544,211,788,033,031,717,470,245,447,042,641,143,
799,551,031,102,800,254,085,558,832,878,092,820,819,697,002,011,813,486,479,
306,128,862,386,867,590,924,030,258,362,591,670,299,650,694,058,598,473,931,
513,995,192,005,845,787,448,450,769,305,259,960,174,464,705,727,167,216,282,
218,713,704,631,621,909,077,653,573,749,850,852,928,923,806,000,425,871,493,
086,436,010,237,465,959,184,056,067,059,262,872,789,300,128,477,753,550,294,
958,161,184,033,244,941,348,810,270,592,855,053,802,247,924,326,807,094,766,
007,886,292,598,947,985,442,133,918,664,659,650,886,970,424,469,164,377,407,
842,527,402,231,411,037,709,384,496,271,299,982,157,139,038,542,140,392,733,
379,029,140,499,060,580,508,611,693,043,475,165,050,082,140,991,980,261,103,
866,072,427,875,658,100,426,189,698,170,884,677,378,562,764,813,831,154,186,
886,124,854,147,458,918,435,283,079,447,462,161,778,194,573,419,294,110,312,
368,294,818,270,465,028,931,369,942,386,069,064,147,934,768,770,792,051,127,
604,869,988,381,262,919,942,245,066,430,755,834,314,738,089,531,008,768,000,
187,686,122,811,404,654,208,435,791,040,153,518,386,325,695,052,962,476,237,
502,469,884,265,394,253,103,515,989,554,259,922,858,230,409,466,083,063,536,
132,028,280,531,719,318,898,419,745,839,334,583,673,148,945,785,778,694,855,
754,510,141,090,196,938,991,392,061,791,332,890,144,749,164,442,701,122,015,
293,463,015,124,695,930,130,184,742,465,501,441,987,381,355,651,380,618,137,
046,111,128,841,656,420,466,615,833,915,214,213,902,261,988,953,978,787,153,
373,212,799,794,610,260,336,794,989,166,249,773,447,494,889,629,109,183,159,
523,515,966,303,930,451,789,901,056,069,604,273,622,573,633,348,780,517,685,
208,399,189,739,649,907,890,206,033,726,953,358,396,288,898,415,939,621,131,
904,151,135,535,216,703,611,974,365,564,523,313,813,297,021,466,415,150,301,
076,214,876,854,920,596,934,482,040,240,057,574,143,090,321,943,920,793,614,
474,156,751,809,112,867,633,275,336,028,414,420,233,591,063,673,425,472,950,
363,482,724,339,017,953,491,152,785,629,770,651,493,289,015,141,880,322,683,
863,213,703,914,962,337,133,590,030,800,247,999,697,677,776,012,820,207,312,
101,995,152,410,751,593,478,603,079,539,463,249,627,464,487,662,928,742,852,
136,875,654,318,389,024,640,915,633,191,418,697,975,941,278,074,641,528,555,
723,630,125,907,423,781,344,996,056,262,133,752,170,114,015,584,388,404,691,
667,599,449,185,536,648,572,527,729,463,618,631,970,170,278,343,985,842,717,
716,854,031,723,239,329,069,506,613,976,952,421,698,175,448,416,644,828,384,
852,536,999,759,592,590,187,445,393,487,858,478,754,671,478,381,028,543,404,
217,040,846,922,943,470,619,760,688,371,136,666,868,525,759,870,666,624,779,
558,619,327,270,323,274,701,635,711,818,949,498,559,572,636,399,540,570,494,
845,052,217,820,261,281,687,862,849,932,876,096,685,283,550,517,297,363,888,
314,079,124,808,084,015,956,074,168,997,272,987,305,472,221,538,194,544,472,
050,450,634,567,910,013,402,217,296,682,031,341,317,548,799,474,204,302,812,
096,020,609,881,316,106,626,024,968,539,979,105,457,707,566,040,488,044,945,
990,141,339,311,670,534,579,943,691,771,834,370,346,582,276,315,644,080,197,
443,478,211,138,001,314,585,521,655,650,161,717,740,437,908,050,882,147,924,
415,488,937,684,682,697,325,780,923,415,475,618,860,286,387,736,537,442,813,
464,327,123,271,120,260,884,610,474,298,450,937,281,617,243,333,317,405,419,
499,291,789,722,454,958,489,862,772,726,549,703,687,848,487,134,824,933,250,
883,298,392,347,242,391,587,049,431,545,683,047,559,776,829,661,771,680,058,
031,572,993,900,765,800,371,338,322,055,326,060,645,249,614,344,412,098,751,
060,992,920,943,582,711,553,150,512,660,428,962,043,811,570,248,544,461,886,
711,269,271,813,535,285,626,245,564,006,210,581,215,882,468,756,209,616,711,
684,215,459,945,343,975,679,037,762,038,463,046,314,988,624,236,139,997,904,
794,402,660,188,177,665,715,530,339,517,363,591,494,486,086,100,204,179,687,
810,696,669,774,895,847,661,883,182,951,203,921,718,073,239,179,877,679,048,
930,940,205,577,637,096,692,908,557,433,537,900,947,451,292,726,508,648,592,
188,446,895,194,262,873,693,558,018,862,221,030,266,727,214,603,878,365,794,
991,482,361,491,703,918,123,337,539,793,975,519,774,498,778,417,725,085,333,
918,930,064,841,204,530,822,467,248,473,073,441,766,451,983,400,473,882,774,
258,178,556,927,652,719,016,658,565,015,280,726,467,469,169,741,925,104,136,
821,165,083,027,408,718,883,307,572,934,834,056,063,878,316,381,571,453,958,
366,606,875,839,773,314,300,478,389,157,218,994,046,331,724,969,456,314,690,
569,038,762,858,030,482,012,220,812,541,068,441,784,157,209,350,764,985,471,
593,640,057,792,830,600,774,610,580,910,219,506,887,247,783,139,334,258,736,
826,932,906,479,204,785,958,250,146,048,843,358,662,353,610,791,106,563,821,
359,741,022,336,941,966,537,630,523,962,344,231,838,213,029,251,388,789,512,
635,009,086,200,604,128,625,412,037,822,151,003,059,643,535,929,911,206,747,
989,330,074,697,928,121,136,081,085,957,455,075,664,389,340,200,522,917,794,
031,525,874,779,960,068,755,173,042,825,487,267,704,718,139,354,429,160,659,
573,951,037,210,206,103,498,741,812,582,136,339,710,638,264,837,579,438,322,
247,089,805,822,920,019,744,093,034,335,482,770,536,100,194,968,812,265,681,
280,421,371,109,945,750,697,475,117,030,656,852,786,146,608,345,453,160,485,
419,042,772,536,122,417,610,412,156,743,924,477,888,373,704,320,591,559,934,
289,988,620,522,097,134,126,920,061,581,588,611,655,607,911,503,261,235,205,
981,205,572,621,823,897,615,212,951,236,511,412,388,462,140,574,107,225,945,
523,238,398,340,126,940,205,015,771,693,294,280,369,015,531,263,285,771,643,
475,929,672,104,077,903,233,702,886,933,519,069,489,146,252,549,094,261,177,
777,697,666,071,010,359,802,344,034,562,439,388,238,196,008,751,201,413,593,
572,979,373,341,385,826,634,820,573,586,823,432,613,256,608,365,530,959,092,
213,125,971,843,250,557,709,687,748,161,506,726,393,772,729,898,716,159,364,
641,138,817,437,871,594,933,343,842,389,390,745,231,229,462,275,303,465,504,
466,616,225,262,650,574,760,705,168,114,022,021,426,751,244,350,100,107,406,
261,855,358,615,325,891,473,975,848,171,536,597,543,179,239,772,545,606,781,
949,433,902,360,456,033,255,156,330,047,159,556,443,926,884,340,447,509,503,
685,032,201,208,556,501,461,377,103,431,562,909,007,457,287,775,314,183,027,
269,851,804,565,124,743,222,871,422,199,881,549,629,828,662,595,173,238,294,
428,681,941,458,457,128,214,630,761,027,898,264,846,073,087,206,639,628,267,
729,452,567,530,312,517,328,044,356,758,239,458,901,733,889,567,637,223,675,
657,197,319,952,057,646,905,536,745,294,239,727,385,444,351,860,942,933,298,
675,935,815,205,255,331,125,892,049,679,656,499,730,498,105,778,220,562,118,
331,307,944,475,942,041,015,011,543,778,800,088,618,532,430,330,722,630,554,
401,991,776,076,640,669,814,229,875,860,722,077,388,464,432,871,968,833,367,
619,710,195,792,374,983,406,549,312,012,452,672,933,682,602,477,525,487,101,
199,787,771,584,902,998,185,217,176,249,284,879,227,593,233,568,796,802,888,
855,657,134,566,579,227,758,877,817,311,428,725,130,184,818,937,502,339,319,
932,761,199,291,447,587,746,103,914,852,000,934,781,692,482,705,541,302,517,
947,111,294,815,258,955,471,411,649,939,854,367,967,757,937,048,169,754,562,
977,727,503,720,964,075,418,345,122,299,706,717,875,316,191,127,147,793,343,
903,620,793,038,710,321,876,727,326,925,703,252,652,656,597,306,099,856,513,
836,016,475,554,960,623,570,075,341,125,183,628,480,219,242,874,794,798,223,
758,570,315,406,503,916,283,154,857,543,671,514,891,558,155,770,976,235,906,
252,689,878,381,386,412,002,382,299,813,760,730,061,646,350,890,191,980,687,
725,747,348,408,541,665,368,411,253,493,222,410,322,625,253,587,975,388,388,
084,108,018,337,572,916,850,670,866,307,442,798,253,385,424,834,685,156,565,
091,203,882,543,621,332,455,517,472,983,452,803,953,645,834,177,416,570,215,
777,478,132,534,083,552,905,774,926,789,361,872,400,705,040,735,104,421,621,
977,296,566,947,327,436,317,578,043,542,016,232,733,525,002,904,061,560,496,
273,782,468,467,705,833,837,542,786,719,499,257,549,893,574,329,748,921,674,
571,505,293,002,166,432,064,724,214,441,176,595,129,338,072,032,780,446,469,
682,451,525,303,789,230,332,749,263,386,824,402,282,302,465,563,057,146,666,
160,196,341,960,969,984,735,800,398,371,386,758,019,159,631,375,897,291,195,
923,556,045,775,966,132,937,954,175,828,717,239,115,576,474,678,535,035,046,
831,362,549,365,179,890,971,659,999,353,246,348,309,485,539,874,171,944,731,
878,165,448,441,805,918,267,261,954,676,875,931,268,592,918,657,356,818,035,
926,674,226,602,360,229,697,605,450,327,893,572,829,018,387,326,008,874,593,
620,118,390,343,479,210,521,262,999,384,533,702,835,965,033,046,985,916,053,
503,429,332,867,015,611,020,634,465,620,349,718,449,939,543,237,747,096,852,
628,494,655,299,732,306,110,058,505,124,350,218,355,842,832,832,918,379,533,
420,341,567,364,980,448,028,249,259,410,921,602,815,180,488,302,915,073,583,
805,402,399,841,740,556,295,187,143,383,863,146,319,422,810,762,076,145,683,
872,230,532,358,035,598,768,322,939,095,169,710,843,909,425,925,727,041,403,
231,256,443,081,280,601,489,668,284,916,632,327,935,940,215,511,240,680,767,
245,814,802,088,734,320,515,651,464,289,033,922,016,779,200,547,327,677,895,
852,096,347,830,149,336,423,788,700,708,074,031,844,946,545,605,705,301,294,
535,287,041,457,536,738,979,322,658,791,396,357,232,015,208,941,343,222,427,
939,862,881,091,560,354,310,153,300,338,932,191,737,496,494,675,981,652,886,
685,851,798,982,579,649,029,130,359,683,025,504,762,011,509,301,766,492,559,
617,761,118,241,503,528,263,432,669,264,949,422,208,674,465,728,212,363,790,
003,903,630,291,869,936,351,570,096,055,671,757,640,369,738,457,299,331,457,
639,983,498,615,349,541,436,494,318,377,365,213,886,495,152,548,190,574,292,
469,234,390,978,307,720,543,015,087,028,989,818,184,079,849,229,673,867,773,
923,334,278,986,665,070,063,614,372,506,811,170,912,273,753,087,435,492,947,
433,577,660,845,144,760,121,637,414,188,906,959,822,303,888,946,032,105,417,
349,369,073,942,287,493,406,059,993,544,288,071,619,596,871,483,932,513,972,
512,542,027,567,714,977,180,744,534,610,934,966,337,249,788,610,846,410,199,
687,153,202,987,253,077,365,344,315,398,247,971,593,243,260,281,375,033,308,
859,265,359,931,335,436,350,360,944,706,420,142,685,455,731,071,920,649,704,
526,515,164,878,600,793,732,028,714,933,487,937,926,886,427,194,015,931,396,
039,161,784,694,402,544,079,622,986,607,052,590,713,170,661,627,139,590,746,
484,847,364,709,664,920,682,988,276,750,228,047,766,259,364,011,712,803,328,
165,584,567,152,936,541,966,514,163,147,612,704,610,268,393,298,482,819,365,
158,887,759,179,552,768,986,390,706,531,741,155,882,704,716,459,856,599,054,
937,258,225,682,668,931,480,380,911,711,533,585,727,060,634,524,613,246,136,
423,890,401,983,588,998,033,871,204,057,426,570,049,775,445,082,414,683,227,
937,843,347,261,122,901,771,509,670,515,664,998,836,015,839,518,887,516,676,
149,998,370,602,801,155,583,182,140,761,003,024,908,886,716,185,459,219,041,
610,194,470,641,960,328,691,211,239,797,589,024,439,532,691,862,548,624,419,
767,929,764,011,978,494,751,305,125,352,969,807,750,101,919,225,969,590,724,
593,212,706,825,057,411,835,637,106,792,173,044,022,166,866,087,674,720,782,
008,543,693,799,139,456,427,193,324,608,143,187,745,567,721,119,359,012,008,
999,789,901,873,402,367,697,688,848,318,485,102,366,168,155,680,319,992,485,
054,548,829,340,934,504,342,389,347,536,541,659,361,337,836,984,882,026,007,
815,390,502,104,471,964,564,696,971,633,742,844,146,018,347,657,055,025,593,
408,203,145,376,621,197,810,833,934,200,131,016,665,571,143,032,806,926,538,
957,324,923,418,078,221,144,665,744,400,296,975,566,824,146,619,970,633,062,
820,854,088,793,465,612,066,003,924,016,002,995,747,369,049,418,637,294,411,
856,199,698,118,042,267,969,851,919,024,916,859,901,848,236,776,458,838,995,
495,049,727,445,879,681,728,000,022,092,280,267,136,676,742,420,309,538,998,
618,741,065,486,671,006,055,484,421,736,993,554,797,771,231,061,656,545,484,
012,404,225,575,004,930,917,009,276,019,961,256,776,414,090,414,635,079,604,
977,054,678,825,183,233,026,808,789,470,817,028,210,438,183,524,052,937,777,
162,994,166,856,131,216,479,874,927,976,008,653,187,810,713,683,280,902,973,
863,997,066,440,648,359,922,901,981,195,666,910,581,977,441,953,232,909,410,
753,373,963,103,301,007,241,367,214,880,449,350,445,983,614,763,470,592,348,
646,759,004,514,505,764,528,042,854,711,127,037,784,160,733,332,060,593,969,
020,098,956,699,611,243,158,403,785,825,883,603,464,424,737,000,676,482,699,
099,544,297,760,043,903,193,510,547,194,059,787,161,888,582,983,000,154,418,
365,582,076,877,667,989,266,742,363,388,212,947,844,215,173,417,660,655,804,
284,416,618,426,878,579,401,574,818,427,569,169,424,348,342,063,051,150,603,
002,653,207,608,139,443,681,023,481,982,717,658,047,694,381,272,279,947,369,
187,437,477,212,406,682,051,375,792,216,053,097,242,919,213,647,872,718,701,
448,441,673,618,844,499,898,314,416,489,069,462,626,973,655,109,615,688,986,
906,259,022,038,252,513,348,915,097,626,173,509,730,453,990,714,621,909,542,
167,211,250,640,965,193,875,946,917,815,598,484,716,428,823,290,923,199,288,
547,327,313,240,279,878,479,908,984,102,837,383,210,636,742,136,924,938,535,
569,223,468,107,032,218,958,129,605,885,979,070,003,102,252,980,066,126,122,
509,932,166,418,340,389,838,498,394,673,902,721,757,616,240,176,222,621,632,
966,605,383,144,853,391,283,542,383,469,808,241,768,059,995,466,969,455,505,
418,437,207,876,211,933,203,052,395,876,373,767,171,318,161,740,911,020,647,
705,761,680,483,742,984,773,568,700,061,730,426,140,070,604,348,318,171,597,
963,885,599,075,428,541,159,459,315,061,943,299,733,098,317,602,796,517,494,
907,494,823,349,451,758,460,297,215,219,609,974,956,722,009,515,602,758,024,
590,020,488,273,362,703,158,643,460,628,309,611,222,660,099,702,881,295,433,
095,177,377,792,611,948,789,389,311,051,994,646,048,533,545,153,414,463,850,
847,073,873,996,590,296,245,806,583,200,641,265,285,809,708,931,699,904,993,
414,345,193,635,482,133,811,360,737,249,259,792,085,440,748,487,844,428,858,
867,523,774,692,487,746,258,725,588,189,712,293,081,648,337,702,271,518,760,
559,728,674,900,837,465,895,550,820,707,925,302,246,962,719,010,005,404,836,
322,068,068,381,172,986,948,481,173,788,922,808,325,065,699,225,228,796,207,
567,563,611,781,924,878,839,593,693,912,139,149,495,668,976,762,999,678,347,
656,828,066,882,494,430,299,740,069,908,433,462,208,422,760,847,671,162,329,
305,076,700,015,097,683,013,437,085,676,531,321,726,611,405,582,689,437,427,
227,316,730,806,075,626,693,705,123,293,614,362,162,906,657,323,076,718,427,
894,017,355,655,287,562,129,203,141,783,940,893,792,356,480,269,473,439,159,
318,749,495,358,331,324,264,818,709,161,466,682,890,065,651,821,660,947,252,
475,887,624,105,062,313,347,338,500,270,961,316,475,597,353,512,277,676,711,
273,062,750,234,943,377,306,159,155,873,152,662,331,146,826,985,446,781,177,
780,556,054,380,398,599,129,026,181,673,450,223,561,689,065,432,318,690,872,
884,150,640,288,381,023,685,151,972,246,998,588,133,178,123,192,405,466,071,
732,609,417,086,997,188,072,095,825,464,446,912,748,842,023,797,438,648,584,
078,547,723,388,922,847,873,049,169,565,114,446,189,409,589,458,087,262,979,
410,838,219,547,994,833,149,984,827,546,410,556,609,160,772,830,525,924,559,
642,273,518,092,491,947,250,872,172,417,920,009,171,357,534,359,971,004,729,
808,268,438,735,185,645,251,523,578,926,671,012,445,376,759,576,048,204,846,
652,014,224,016,129,278,854,039,512,222,175,388,259,081,681,155,975,218,497,
195,387,362,514,868,613,564,708,639,869,281,417,953,449,099,873,357,846,368,
368,711,910,172,025,902,842,964,542,877,189,428,986,070,743,178,081,244,060,
176,735,373,121,326,854,237,457,615,725,992,857,610,278,327,157,493,089,109,
240,249,852,674,842,014,657,644,471,515,660,173,109,053,228,998,946,780,239,
909,976,922,474,909,300,873,866,399,598,100,127,875,519,270,704,332,504,761,
741,161,866,117,682,962,788,235,770,681,285,176,783,728,027,902,298,312,744,
938,618,758,204,475,645,340,671,308,764,789,192,892,947,288,922,958,580,770,
806,593,648,070,357,693,856,200,160,082,897,059,839,953,626,082,905,844,452,
402,565,808,113,041,325,651,587,362,887,162,830,310,178,956,487,594,302,031,
511,110,172,695,426,665,210,348,598,883,559,886,095,002,579,026,391,624,919,
398,825,949,983,093,705,504,243,728,828,406,367,851,005,747,569,437,835,064,
600,780,798,973,949,130,056,698,060,865,535,402,065,022,543,299,453,043,725,
839,930,206,432,108,066,672,529,591,640,197,052,739,216,910,299,241,476,002,
911,209,600,714,750,538,684,910,484,470,129,112,737,381,359,672,718,784,167,
102,871,235,781,422,471,061,264,977,315,114,010,628,454,058,742,725,719,045,
284,577,017,567,261,566,332,135,581,622,202,747,059,109,309,759,563,500,700,
948,159,607,113,069,647,321,141,967,858,335,768,647,408,221,357,954,312,913,
302,374,761,919,417,310,737,384,659,233,208,678,988,978,088,250,872,187,689,
170,371,328,089,939,399,126,819,099,756,413,558,585,008,506,498,817,563,528,
500,533,818,051,641,152,229,643,317,845,209,981,843,889,177,304,300,860,118,
983,701,238,886,834,023,181,639,564,673,099,167,037,734,105,588,636,311,342,
396,543,971,859,086,971,000,304,461,069,128,349,782,924,066,106,869,339,546,
088,689,474,328,948,695,991,522,275,474,812,050,674,954,450,008,042,153,751,
801,334,034,089,684,221,234,863,034,278,520,842,099,139,646,767,272,251,779,
168,113,992,750,969,516,250,317,120,306,773,643,168,729,267,979,528,650,222,
898,298,748,008,848,334,679,298,139,460,852,440,928,570,858,365,589,270,356,
129,821,249,852,368,467,553,593,859,838,302,539,486,921,445,091,727,624,467,
821,218,111,391,543,550,582,353,514,747,383,314,773,936,473,236,546,952,573,
678,996,180,695,054,023,952,502,441,290,614,505,992,128,362,961,852,741,596,
698,361,128,667,083,578,595,271,374,270,443,582,431,150,557,126,286,362,579,
420,813,080,582,154,398,291,178,504,407,891,706,384,921,066,120,090,237,733,
688,825,547,926,995,375,698,591,421,836,713,908,964,191,447,749,944,189,349,
342,262,180,716,033,173,845,361,648,214,224,611,172,135,196,838,723,989,826,
851,361,026,074,689,763,161,020,882,658,540,611,033,736,218,613,905,231,909,
386,566,627,561,143,524,773,012,705,776,171,345,704,225,900,873,767,590,134,
355,158,132,716,095,828,492,974,888,731,196,541,527,122,933,422,331,557,995,
275,183,801,450,197,879,861,855,329,758,478,209,996,284,244,086,295,638,908,
366,339,046,789,835,663,658,380,616,254,705,892,179,551,731,229,468,488,369,
109,723,269,407,184,161,709,160,650,995,150,649,087,364,679,543,582,419,611,
400,530,157,923,054,087,593,409,371,501,477,303,691,770,161,668,259,826,387,
070,535,679,802,786,304,313,359,279,062,517,724,118,958,946,447,424,083,861,
167,583,510,041,041,570,804,282,464,971,624,695,514,483,710,485,692,717,598,
530,702,264,489,536,381,888,571,337,412,592,730,389,575,400,042,793,371,841,
330,946,870,901,938,563,742,898,960,275,039,209,722,803,720,260,332,126,385,
436,526,451,531,528,139,463,784,752,700,681,032,882,613,359,901,586,488,874,
666,015,139,855,220,351,493,370,598,749,879,393,117,262,851,203,487,144,552,
102,988,131,153,149,853,026,638,107,014,905,259,149,178,201,575,543,800,070,
201,899,833,554,133,481,354,168,298,253,156,057,988,356,523,617,271,480,909,
739,349,385,290,705,276,200,476,556,153,519,976,632,852,740,768,819,193,111,
026,627,163,956,401,279,385,505,181,639,319,034,516,662,694,159,908,146,469,
124,747,022,037,913,063,104,097,729,448,577,016,131,079,495,621,563,729,164,
480,026,096,405,418,784,235,206,062,770,856,151,928,436,031,005,551,073,940,
971,360,584,420,997,470,026,576,135,348,188,976,258,444,137,708,646,904,060,
134,884,562,750,334,902,178,297,879,892,972,593,586,584,268,426,054,913,163,
535,158,287,015,202,740,485,019,320,544,867,782,807,686,021,541,723,824,584,
293,700,711,733,512,241,898,495,689,798,593,454,479,416,502,082,391,958,221,
719,775,060,159,806,884,563,422,720,533,243,020,346,066,155,086,539,585,718,
288,531,936,032,095,920,191,476,174,553,813,974,866,707,289,514,550,353,354,
055,504,534,359,418,145,146,889,557,405,609,820,035,457,170,243,624,947,345,
003,324,384,578,526,366,072,963,005,911,732,017,745,580,275,946,045,830,447,
899,016,722,326,369,146,643,389,072,574,120,245,260,792,242,318,615,237,029,
340,078,517,638,853,914,024,990,731,329,505,517,054,738,847,963,768,326,966,
682,196,680,620,188,314,029,912,338,274,335,425,027,702,053,204,647,509,360,
811,547,967,905,097,280,371,946,464,928,538,538,783,242,964,735,191,330,511,
688,539,145,162,312,083,682,604,988,959,582,597,255,806,098,534,405,440,689,
327,798,904,035,931,953,699,261,183,309,742,161,851,093,027,223,449,110,290,
620,554,846,329,124,624,456,595,370,024,759,090,148,922,390,893,373,995,239,
207,207,753,347,046,822,356,366,905,570,934,496,812,977,510,206,559,399,928,
378,568,113,573,454,028,358,277,652,685,174,882,467,244,789,754,514,760,673,
760,676,542,333,726,851,235,619,931,646,095,663,889,770,549,333,355,327,862,
051,355,940,523,771,521,273,333,320,445,104,345,672,535,315,823,174,095,377,
192,439,807,509,757,114,441,632,306,212,689,770,587,055,453,158,233,400,860,
290,598,520,913,611,221,735,866,842,093,057,448,155,089,530,165,721,603,918,
569,918,051,461,648,763,387,587,867,493,517,084,910,668,322,721,140,973,088,
831,035,777,333,187,087,140,492,979,453,399,817,389,544,111,661,465,505,614,
316,998,860,105,783,877,670,054,583,892,914,356,641,157,954,115,250,759,912,
340,444,356,809,750,784,933,575,267,798,433,571,229,926,477,313,612,604,251,
793,389,119,565,143,614,516,743,362,657,172,616,987,521,114,984,608,318,116,
411,060,823,603,530,043,687,098,672,976,553,498,461,740,121,811,532,219,327,
838,718,503,478,784,072,336,189,291,144,742,378,671,735,289,303,225,099,867,
726,744,207,141,376,422,516,984,538,648,295,615,954,585,983,186,694,928,020,
690,965,761,711,947,683,320,362,478,080,497,330,703,316,411,381,083,884,969,
513,412,848,908,471,667,990,066,099,234,677,163,708,755,701,098,122,324,131,
135,175,747,661,719,964,878,971,023,602,698,503,347,380,971,475,804,740,994,
084,560,339,934,285,119,014,111,504,885,106,933,674,952,427,090,516,196,248,
573,362,075,044,802,633,324,892,449,256,930,704,846,145,342,970,734,143,816,
547,992,361,103,380,651,326,180,207,659,136,559,579,393,977,089,708,786,095,
722,466,250,704,785,306,916,001,893,321,217,060,644,322,136,586,041,557,112,
208,383,537,621,597,826,118,336,595,684,864,683,510,941,087,809,067,804,261,
794,277,496,092,542,552,866,193,080,518,746,489,739,363,829,945,994,812,062,
730,958,980,360,700,180,084,933,879,247,392,257,966,900,093,125,928,800,106,
234,339,736,017,517,265,471,251,622,023,868,091,896,246,987,142,802,382,751,
063,085,830,654,602,435,011,538,311,123,262,285,241,617,013,369,319,873,715,
679,674,740,601,174,801,840,438,407,677,763,479,572,696,302,205,772,541,085,
157,617,638,089,644,337,617,833,540,550,682,939,872,116,926,879,656,638,242,
035,712,459,516,936,783,876,475,424,416,188,738,108,378,153,410,844,781,323,
643,915,852,581,628,316,122,113,952,590,119,948,386,490,434,251,382,223,698,
905,632,362,882,989,709,488,509,565,874,927,911,573,163,256,898,470,958,531,
094,523,700,590,633,696,308,652,587,608,247,052,789,857,739,474,979,258,695,
560,818,999,820,954,588,918,748,050,458,246,260,338,160,941,329,830,762,024,
378,457,244,045,971,782,107,654,120,048,818,582,735,672,305,189,347,737,282,
855,536,257,977,490,512,054,139,453,947,306,963,392,660,662,133,050,579,273,
811,118,405,388,408,485,030,069,016,313,868,162,578,492,060,506,290,611,624,
445,656,443,393,381,609,104,471,638,585,257,538,060,422,575,171,134,380,031,
625,501,288,582,083,220,116,882,989,588,548,475,209,382,776,380,924,227,819,
756,938,090,269,406,087,881,869,776,073,678,216,103,753,022,482,747,674,729,
154,433,015,883,526,467,160,183,665,754,333,734,543,989,381,833,480,791,011,
767,586,041,215,527,759,655,301,605,501,314,037,018,569,064,038,860,532,392,
483,222,142,381,177,179,374,831,335,429,635,038,066,574,900,062,531,343,700,
056,948,500,753,545,296,380,251,702,779,605,021,326,116,086,249,275,342,150,
704,092,881,620,234,058,415,887,592,761,971,979,594,021,031,766,745,051,047,
399,258,178,621,969,626,439,742,552,431,634,099,903,589,085,389,003,764,084,
158,157,883,623,260,762,177,281,467,193,382,613,233,860,886,936,256,686,135,
531,743,104,259,639,698,260,144,772,233,444,341,843,830,307,811,337,295,775,
175,304,290,096,598,527,887,827,102,089,822,919,003,620,997,073,803,315,673,
730,418,618,912,930,243,914,068,174,537,280,319,978,002,720,617,985,058,640,
410,735,300,287,547,289,209,792,296,868,853,488,961,946,490,797,768,931,796,
215,820,013,378,724,369,231,795,149,117,177,476,481,844,489,045,033,160,776,
926,438,311,341,198,196,958,636,147,030,791,264,914,593,109,767,798,487,122,
002,603,417,399,041,117,518,568,263,339,105,157,869,118,603,758,773,376,043,
993,585,310,448,460,619,533,628,885,169,837,289,189,406,722,963,578,719,573,
773,283,441,997,362,622,981,499,101,988,248,115,951,017,107,365,993,384,685,
816,254,550,905,640,425,118,731,464,340,542,583,722,114,201,099,858,694,850,
348,359,114,084,559,205,934,023,883,759,672,517,868,964,860,397,184,501,798,
278,892,578,704,525,617,539,976,336,267,613,240,833,273,614,997,495,713,137,
535,701,795,476,453,115,433,904,545,025,768,396,842,879,661,916,567,928,572,
073,458,866,294,586,804,336,331,489,818,228,891,529,718,280,922,078,157,465,
501,836,926,611,124,030,568,269,480,628,512,932,414,288,197,133,224,271,799,
159,120,376,404,156,223,681,327,826,662,369,860,826,546,589,825,833,806,958,
578,186,782,215,658,176,066,519,766,669,820,590,545,491,341,157,907,990,629,
771,464,320,218,889,143,002,743,843,733,032,571,178,630,772,295,025,420,609,
614,898,091,503,065,187,963,345,146,484,669,921,931,687,991,296,087,040,832,
680,138,251,857,999,817,158,273,827,205,416,167,468,855,533,375,330,566,917,
147,767,541,546,031,122,000,864,028,953,238,907,776,502,897,323,715,901,465,
999,048,911,846,471,068,826,384,936,408,234,014,352,945,871,725,409,122,179,
036,578,303,239,067,740,872,788,993,398,118,176,465,548,651,034,174,122,765,
025,554,211,181,732,178,007,504,451,371,784,634,806,876,429,953,845,462,722,
226,484,966,577,254,078,445,048,938,076,015,762,032,752,770,413,432,252,229,
471,515,440,426,973,347,902,487,135,687,018,805,862,591,015,963,632,903,184,
554,890,355,240,970,703,382,874,726,353,238,898,588,530,244,642,512,938,193,
686,109,077,373,646,246,315,216,268,866,039,694,275,152,736,465,005,503,705,
505,492,369,066,195,019,771,192,815,803,684,566,854,109,674,284,932,329,088,
986,759,200,782,411,739,584,829,180,417,262,676,780,088,791,921,140,610,064,
337,855,612,459,803,061,181,640,450,100,912,587,038,953,460,841,540,126,749,
588,247,928,646,540,232,357,143,274,875,405,770,297,018,464,266,958,023,896,
034,030,996,555,683,827,280,698,041,195,024,737,221,053,003,692,624,547,454,
101,679,152,301,892,724,543,800,512,171,189,772,628,723,451,676,609,259,617,
690,778,046,785,818,981,600,967,690,960,965,280,435,760,988,020,369,351,469,
912,809,664,925,634,151,037,166,848,742,707,918,091,544,823,948,441,975,487,
757,857,286,134,306,852,583,319,439,083,924,154,835,103,284,361,542,477,684,
938,884,992,166,989,109,761,126,065,841,347,218,694,371,266,230,365,669,742,
036,558,220,728,360,959,769,919,020,881,061,198,198,616,981,763,258,665,191,
634,896,510,343,549,117,541,176,781,415,584,195,896,444,228,995,785,794,691,
559,341,159,009,713,022,148,910,212,205,854,916,453,531,076,029,104,680,209,
642,442,067,187,283,593,965,678,681,085,500,044,832,627,528,360,927,605,279,
193,582,600,723,986,480,105,301,739,052,644,910,770,494,523,255,982,517,968,
106,980,952,461,974,378,590,194,234,257,208,799,900,733,966,518,486,751,380,
937,105,615,612,384,793,916,161,089,214,455,975,793,677,068,686,287,436,948,
814,771,427,132,359,567,398,160,887,594,464,180,915,859,790,677,548,866,699,
909,745,827,706,886,037,896,168,567,640,623,606,942,502,278,422,713,089,754,
525,841,161,050,123,622,145,048,916,501,181,962,346,520,188,449,203,169,069,
975,436,542,033,485,817,061,460,242,339,916,661,951,804,060,323,027,187,174,
272,547,854,578,251,834,741,120,184,220,249,339,759,853,459,215,218,662,655,
581,474,555,303,753,566,074,182,175,722,960,884,893,340,434,752,075,808,228,
588,945,756,458,786,879,937,948,202,090,067,495,732,719,225,450,643,562,511,
003,650,770,842,882,179,586,077,856,821,013,106,000,143,603,119,135,597,173,
079,020,582,295,816,540,147,320,801,386,148,980,423,169,565,382,248,462,815,
318,467,469,733,754,654,575,401,823,116,003,089,693,930,710,619,100,905,011,
647,083,302,293,997,061,408,177,019,972,668,301,930,839,667,793,045,530,644,
604,664,804,115,648,959,346,565,966,046,028,080,667,111,112,846,864,278,415,
468,860,937,723,139,608,805,981,539,911,400,702,907,660,067,849,436,078,502,
608,757,916,974,557,566,879,484,721,760,234,264,739,703,730,550,493,766,069,
144,438,652,955,655,487,413,603,010,817,158,818,873,014,980,310,027,280,949,
726,355,790,050,733,736,308,810,186,358,497,827,800,174,875,261,555,393,633,
712,085,109,471,628,654,398,607,909,267,535,168,387,179,093,197,445,999,229,
072,781,042,882,693,304,886,676,867,502,623,433,040,023,340,409,384,301,321,
070,353,666,093,483,421,257,282,928,931,427,393,362,287,295,500,273,990,855,
232,907,580,755,600,015,753,427,919,688,093,884,096,035,095,015,203,392,811,
456,327,371,040,411,349,999,224,207,120,158,866,609,317,277,654,123,935,231,
090,141,077,537,236,071,340,604,667,648,778,344,898,659,511,813,068,377,545,
568,591,486,794,658,448,057,205,641,552,393,664,793,780,276,769,036,202,701,
058,527,064,677,086,582,468,792,529,073,119,477,441,852,519,979,426,528,750,
489,819,879,159,824,105,997,912,895,178,577,296,505,190,948,968,480,710,401,
297,231,588,633,352,910,964,438,376,853,542,624,020,845,559,833,975,757,730,
126,544,253,730,132,277,307,275,589,948,206,378,367,845,525,003,866,374,892,
639,258,719,720,913,401,130,515,546,503,089,219,305,003,238,179,698,085,133,
664,266,651,643,254,487,733,668,783,541,221,797,435,314,329,092,626,941,976,
809,892,702,846,389,783,854,682,473,466,227,683,971,849,998,020,462,197,359,
638,995,070,994,350,886,926,738,105,343,928,018,566,895,812,235,594,647,760,
481,179,815,525,363,730,315,658,385,849,052,443,616,934,026,059,152,776,768,
734,938,701,126,447,554,440,476,328,119,805,182,412,183,472,724,381,276,200,
894,504,038,692,992,739,570,399,645,785,937,460,183,680,754,935,844,923,300,
900,138,339,674,248,368,141,195,622,161,165,165,509,565,665,239,697,864,789,
631,110,518,051,810,744,082,931,260,873,701,124,893,042,599,054,475,576,607,
368,982,321,199,439,949,457,494,810,335,575,162,733,528,244,038,200,656,610,
134,390,191,421,439,241,228,820,636,937,760,657,071,956,529,033,243,359,920,
952,291,262,791,294,918,149,143,332,666,033,407,006,031,900,577,325,646,433,
851,703,613,850,955,990,009,166,411,823,173,324,360,457,669,845,524,307,667,
872,190,116,894,119,999,059,994,926,441,991,159,261,955,212,259,872,115,103,
913,623,986,345,471,544,141,828,926,698,925,847,106,153,088,475,621,510,548,
686,199,201,290,889,985,866,201,782,442,424,732,397,352,758,606,020,853,143,
537,893,046,139,916,531,453,583,523,187,232,259,299,542,340,143,324,820,386,
659,029,613,999,554,699,972,687,988,138,068,802,737,498,463,254,647,955,073,
867,802,456,972,772,522,112,570,457,652,450,971,320,682,317,077,177,317,283,
142,057,023,184,904,777,124,896,749,346,714,289,472,104,707,571,646,095,327,
403,302,678,166,642,963,801,202,952,350,402,355,284,182,902,009,967,821,245,
640,663,019,136,285,960,607,494,372,771,215,957,513,270,033,226,493,252,395,
374,362,843,293,379,893,531,848,471,732,912,938,428,173,966,464,158,356,863,
194,849,516,676,899,071,622,679,713,806,830,069,556,999,069,883,272,843,302,
017,060,773,070,783,845,021,204,722,040,411,250,684,762,887,389,210,865,681,
094,409,460,233,930,534,897,876,234,314,109,978,524,061,764,126,749,984,251,
622,544,251,314,221,147,281,924,007,873,624,125,393,152,174,959,110,084,598,
857,111,207,102,155,784,859,457,553,900,930,100,781,258,989,427,965,904,448,
858,773,505,159,466,650,053,897,483,933,830,306,052,235,530,348,574,469,175,
493,023,226,368,305,670,174,224,768,966,174,537,821,141,462,702,503,487,194,
920,519,315,328,053,176,405,635,707,120,462,972,124,344,943,452,314,750,994,
670,371,644,736,276,956,508,025,301,178,653,639,678,698,059,105,587,255,393,
051,697,789,938,465,170,019,777,975,408,110,237,235,147,579,562,354,104,531,
146,096,565,951,862,838,170,958,741,292,951,456,638,989,601,639,088,612,135,
413,043,344,329,059,059,385,630,624,027,000,856,888,540,062,588,610,989,245,
520,375,931,071,030,602,708,794,890,773,803,570,717,717,315,172,635,633,756,
099,728,290,019,571,512,486,534,157,348,563,542,254,210,580,396,703,097,157,
524,217,073,810,356,108,651,338,263,940,960,721,534,344,162,757,365,268,639,
595,766,694,266,597,888,924,364,821,672,191,847,744,129,275,839,487,460,354,
389,140,882,662,109,593,782,844,684,529,483,527,601,155,262,916,819,883,023,
866,967,276,674,186,074,690,616,352,640,679,057,423,552,243,675,421,344,796,
102,499,445,425,393,144,388,710,602,917,136,849,924,865,147,619,024,219,535,
471,475,802,733,342,165,294,303,831,728,611,334,552,721,999,696,527,240,765,
779,647,868,332,041,202,772,684,510,020,585,074,745,448,374,095,588,201,686,
993,888,072,351,189,512,088,760,061,952,777,992,824,835,289,205,879,913,444,
879,460,777,567,809,753,553,595,072,410,196,403,038,389,434,342,815,611,218,
976,667,382,735,575,295,031,763,333,175,030,608,956,960,625,439,427,642,420,
703,594,932,175,463,404,184,871,004,152,586,724,393,542,110,274,262,876,973,
955,287,243,561,379,298,280,737,535,350,260,078,762,760,960,023,693,484,866,
951,198,756,538,290,742,986,125,253,682,510,810,844,315,639,534,914,780,152,
625,635,702,677,759,819,468,770,908,393,976,353,111,255,685,433,475,865,435,
217,624,974,493,672,417,094,552,186,212,941,412,897,819,827,949,446,684,215,
712,532,641,979,490,629,448,915,762,430,740,765,500,158,117,656,137,441,503,
669,627,841,400,500,445,424,126,097,980,549,597,028,192,382,866,040,992,352,
908,582,669,641,300,999,846,250,282,834,779,989,427,307,293,747,739,388,600,
569,525,116,250,520,968,615,977,665,749,548,661,085,661,725,443,973,402,108,
503,929,605,021,120,015,617,128,099,843,192,622,529,637,737,970,859,912,791,
594,013,102,736,162,464,650,580,696,471,031,993,808,889,112,064,478,755,668,
719,583,422,149,810,711,919,296,874,889,664,170,923,463,711,413,452,716,960,
258,445,252,514,828,170,787,184,189,749,403,635,168,990,450,309,054,777,351,
356,736,771,264,571,457,534,238,527,624,209,335,330,196,539,933,973,623,202,
865,966,045,140,131,113,402,988,363,584,147,829,337,311,774,045,553,604,173,
880,605,214,995,958,965,011,194,781,792,773,394,695,238,078,629,323,701,212,
078,579,460,685,548,765,842,224,953,730,091,475,936,413,332,848,519,867,259,
026,660,929,704,142,543,898,223,911,999,475,866,538,366,264,601,922,508,662,
509,459,518,884,859,322,776,235,721,341,172,582,487,384,767,453,294,301,615,
235,767,998,792,659,680,293,215,877,169,595,331,670,522,074,789,730,456,991,
828,032,593,767,965,299,461,433,562,316,748,030,042,190,521,476,884,658,403,
341,994,742,680,733,470,278,553,519,799,427,342,549,084,295,606,282,478,826,
604,914,158,456,055,216,319,178,211,667,652,686,553,314,288,851,856,623,533,
860,787,898,036,501,128,496,530,108,152,636,114,981,447,933,693,181,063,610,
860,262,288,375,052,499,612,090,631,641,399,664,361,535,275,367,087,463,242,
334,124,277,931,264,292,565,151,816,640,026,244,511,015,597,553,339,675,789,
558,200,356,844,225,626,462,641,020,911,530,662,871,816,977,202,098,856,064,
744,074,628,707,822,103,090,340,320,479,408,443,991,804,252,234,229,139,052,
095,272,504,260,790,101,535,868,689,700,247,070,517,530,310,084,991,292,907,
562,780,109,174,659,242,967,543,864,303,870,572,218,900,976,432,221,712,548,
136,984,610,911,466,531,974,686,354,484,459,215,145,788,501,182,642,359,959,
028,037,683,962,816,700,398,759,903,484,738,842,579,980,495,873,087,245,215,
709,928,099,244,208,347,898,589,149,771,575,652,986,858,300,448,351,005,128,
238,230,023,277,193,402,429,843,915,704,663,985,734,980,428,082,666,043,226,
794,973,597,600,421,271,163,180,046,745,839,757,986,337,313,306,119,695,097,
425,643,974,148,544,002,556,249,853,641,811,720,636,772,423,874,146,266,551,
581,499,777,085,969,530,682,862,335,901,886,142,534,767,962,423,434,446,722,
670,468,236,243,196,122,388,973,997,026,933,211,722,200,492,040,229,708,845,
970,420,591,564,455,081,326,562,878,697,597,395,526,837,134,935,213,620,950,
118,336,806,227,050,617,934,914,168,002,056,300,414,145,652,001,809,063,169,
972,213,660,925,571,286,478,378,861,257,392,136,742,193,436,135,956,092,332,
325,327,235,104,739,515,977,070,510,650,036,417,820,197,157,299,497,123,890,
223,201,943,802,695,043,348,407,259,627,541,189,715,311,213,084,202,900,674,
414,092,621,920,330,372,275,477,053,417,094,893,429,540,593,766,925,748,409,
077,227,680,191,914,783,768,759,087,904,723,436,173,997,841,269,994,909,627,
841,393,164,156,196,396,173,599,023,272,419,381,151,696,449,475,883,762,144,
371,960,544,500,643,983,343,147,494,631,975,212,326,851,346,704,964,446,563,
330,949,014,581,956,261,215,218,278,966,252,274,803,292,113,765,190,648,988,
234,299,446,568,990,110,626,703,468,911,919,869,241,441,580,266,575,570,244,
693,231,243,033,691,130,401,329,918,525,971,880,762,307,587,760,168,450,580,
028,224,097,576,640,851,391,753,875,733,952,720,203,317,117,919,130,760,961,
033,457,596,880,449,606,717,051,923,408,137,174,097,683,959,070,139,724,117,
404,185,968,683,977,407,321,683,267,977,436,310,973,538,413,048,193,575,802,
998,698,935,950,143,266,704,616,400,002,111,431,515,344,700,575,508,948,512,
349,727,906,318,048,496,242,802,433,335,076,503,043,046,017,587,542,564,521,
527,223,894,306,253,908,265,697,962,757,922,636,242,568,177,062,355,155,832,
944,096,822,895,504,959,052,943,569,363,512,888,546,171,837,368,397,422,497,
265,069,328,561,519,905,831,056,218,555,783,211,654,622,798,690,442,918,100,
120,434,126,118,897,156,387,235,060,212,455,125,095,355,220,761,068,342,867,
287,812,531,302,497,384,751,840,862,647,074,889,924,393,416,039,703,345,679,
149,033,556,786,299,007,776,461,345,649,437,384,217,233,602,576,033,624,586,
928,303,084,452,924,253,909,534,442,297,886,443,915,640,188,890,517,544,938,
070,231,423,013,751,295,836,847,362,064,426,130,732,149,531,970,489,021,547,
738,096,544,302,609,564,160,862,919,959,357,549,709,696,420,791,581,125,831,
811,833,434,394,039,780,850,644,029,532,427,971,339,869,282,160,914,241,236,
386,658,473,073,701,977,893,677,351,439,010,616,588,157,796,089,484,409,778,
183,163,789,558,637,995,351,504,464,873,589,386,812,655,379,065,319,014,871,
145,436,083,123,606,908,658,367,127,809,743,671,760,028,832,387,808,969,937,
341,226,849,636,802,513,027,217,367,142,262,672,451,397,819,040,825,194,687,
506,091,616,701,197,202,536,411,442,524,044,007,553,102,968,235,681,929,047,
183,099,754,602,430,120,691,795,482,119,164,498,026,402,047,985,804,140,887,
446,341,911,884,033,485,349,928,248,388,919,519,257,255,542,559,370,405,639,
169,624,106,196,235,123,851,011,678,102,725,137,237,377,556,727,471,648,743,
733,987,470,952,292,933,277,441,676,942,008,540,771,354,933,816,906,453,329,
815,901,593,477,726,911,215,859,469,978,241,052,022,965,074,055,035,557,629,
120,831,554,202,770,929,308,277,554,163,969,173,805,085,252,275,915,329,012,
376,745,341,879,237,552,954,538,671,050,115,751,319,414,655,129,895,258,815,
421,641,536,320,172,800,887,080,378,701,935,579,693,704,300,100,482,390,177,
553,716,895,540,752,539,712,600,928,055,495,357,770,524,051,381,743,703,784,
308,491,989,045,655,301,973,857,006,788,709,729,812,040,849,741,852,627,030,
866,101,889,894,498,607,226,750,513,716,593,132,513,884,433,605,629,671,520,
092,621,151,027,195,674,857,067,041,988,130,780,148,692,750,011,495,929,710,
349,893,204,996,755,031,548,461,569,802,963,469,521,997,331,602,863,115,918,
923,975,898,115,758,081,662,363,489,947,377,309,283,813,058,281,998,408,019,
566,038,832,140,332,217,477,401,435,921,328,319,235,951,648,678,232,177,519,
058,187,985,363,041,600,234,565,359,541,660,303,802,052,685,112,635,924,817,
232,950,284,154,320,942,979,880,641,601,532,582,311,662,678,082,291,335,437,
116,726,237,014,742,139,752,028,784,828,076,238,413,277,420,069,572,038,986,
738,185,491,391,743,788,138,313,642,012,330,911,972,721,714,000,131,365,800,
645,578,858,199,193,129,031,016,400,719,766,564,673,311,474,705,397,118,230,
093,607,040,345,927,855,788,590,157,515,665,002,818,070,068,470,185,082,843,
511,363,555,580,989,491,205,359,461,638,386,371,693,718,492,950,910,316,925,
766,037,972,395,855,062,884,631,330,083,655,974,683,258,201,766,158,414,062,
254,202,266,189,664,828,944,661,853,373,598,780,880,204,659,703,810,125,491,
301,512,423,149,125,018,055,718,384,969,803,678,210,596,724,972,515,926,974,
289,501,136,558,849,642,496,589,053,012,749,529,636,888,616,138,364,562,608,
480,617,492,544,729,466,125,453,088,451,731,881,275,426,981,272,916,770,514,
950,900,137,074,466,423,889,977,485,940,190,511,291,596,060,082,613,548,564,
783,837,100,549,640,789,668,842,249,507,474,386,033,256,234,648,539,677,863,
845,652,373,176,149,045,625,355,426,889,253,697,209,905,249,925,523,304,475,
305,879,083,598,636,724,093,736,455,904,332,987,148,576,870,414,772,809,808,
514,226,122,795,261,719,591,148,945,124,318,586,233,690,037,870,481,390,585,
977,032,277,075,174,401,563,878,836,976,686,692,117,492,690,156,552,063,731,
175,496,441,128,808,179,575,465,091,125,478,836,105,410,189,892,143,865,338,
698,212,293,575,123,279,985,575,972,525,080,417,600,006,855,796,321,140,384,
062,481,030,600,153,286,628,433,346,719,995,167,218,801,762,613,824,591,594,
116,228,327,122,379,280,576,931,880,446,456,258,751,550,874,918,351,486,776,
140,976,033,575,065,835,080,964,283,861,068,990,624,803,714,414,173,099,413,
216,335,666,311,188,338,651,368,443,409,156,749,786,106,944,565,062,904,938,
520,034,804,834,968,764,694,298,548,154,699,420,750,888,267,696,020,110,922,
702,028,730,776,640,722,493,344,739,689,894,387,664,754,818,249,341,343,298,
316,953,445,110,663,319,276,886,612,720,185,538,903,891,007,951,546,770,740,
692,323,340,095,892,376,534,756,346,017,906,625,453,385,120,227,601,800,970,
685,516,485,702,464,972,577,435,839,564,605,850,107,559,253,027,257,712,543,
796,476,234,784,281,129,191,471,463,476,980,331,202,200,078,397,529,249,725,
420,131,577,976,827,612,675,435,649,519,640,303,270,643,278,355,509,726,084,
737,023,064,266,204,011,145,762,546,422,403,764,206,591,278,221,933,514,128,
245,633,971,017,570,700,693,166,415,961,221,354,228,889,342,052,033,239,038,
867,553,269,950,428,017,281,171,942,700,421,990,172,474,911,140,270,984,583,
566,682,814,056,558,874,848,125,843,825,134,250,704,722,307,445,286,805,725,
345,591,430,663,103,388,527,578,693,301,195,982,331,101,484,712,462,218,819,
905,333,801,906,257,639,670,137,716,828,120,695,647,523,060,766,621,199,184,
272,954,162,236,855,508,993,577,108,415,141,462,740,751,945,326,740,995,002,
206,571,254,507,235,813,388,434,571,967,187,989,203,771,027,070,367,731,392,
753,472,606,102,396,456,237,445,150,871,575,763,497,492,771,727,515,938,112,
090,066,156,471,717,909,108,850,115,958,984,762,935,307,046,059,459,690,167,
230,319,999,537,520,016,228,055,193,414,903,925,323,572,019,034,801,202,875,
981,231,279,102,835,014,104,820,526,711,730,702,553,173,318,336,413,377,017,
780,534,561,673,161,944,139,686,061,540,602,184,643,249,322,243,709,603,408,
305,884,092,950,107,011,652,817,488,029,422,015,396,315,988,693,080,922,997,
291,906,474,478,034,015,738,630,003,074,399,765,058,244,824,556,545,079,168,
439,267,212,217,940,062,211,428,508,802,590,559,073,797,689,446,157,759,383,
385,789,396,883,349,148,923,358,165,212,891,127,589,047,469,485,569,714,700,
010,358,127,014,722,689,431,332,383,006,464,588,304,620,591,201,920,089,160,
951,125,782,402,881,797,879,335,142,996,683,182,167,666,933,354,144,082,676,
778,065,197,528,268,882,823,612,322,262,827,980,582,744,219,554,037,794,461,
910,059,614,484,465,310,514,087,158,936,251,160,859,481,886,193,277,483,544,
045,748,261,455,918,969,240,225,949,365,612,046,415,532,883,319,249,475,774,
818,232,964,904,095,080,596,956,288,692,709,337,062,010,406,996,594,254,352,
506,559,377,526,889,006,974,627,143,560,801,771,984,802,255,947,301,348,160,
328,858,618,785,513,381,062,219,350,292,731,431,583,276,226,930,287,767,308,
311,051,215,347,160,191,907,819,830,639,709,451,738,095,441,429,964,106,145,
619,609,614,361,618,111,868,773,812,550,034,354,355,048,558,270,286,412,634,
843,441,388,015,082,423,222,271,338,093,436,470,524,139,975,872,747,271,668,
738,474,228,710,612,722,580,848,705,305,070,100,476,279,998,687,664,244,504,
441,148,090,362,670,933,604,860,406,591,821,049,604,647,859,492,751,326,567,
263,507,384,894,890,481,584,298,371,343,293,712,111,799,678,884,988,062,052,
132,297,021,721,784,124,239,585,537,397,426,719,496,631,734,276,768,767,081,
655,786,360,745,248,580,767,690,711,907,554,215,575,531,992,913,322,047,944,
156,858,243,828,256,074,544,848,111,159,369,043,983,520,097,567,616,672,231,
069,202,422,187,154,101,875,212,676,900,993,485,068,160,263,681,972,496,765,
772,931,418,299,256,607,055,162,846,956,561,550,342,930,091,557,762,042,565,
283,293,408,825,754,412,031,633,542,253,086,314,607,196,857,921,119,179,947,
614,011,825,725,043,421,885,930,646,625,552,109,389,541,514,368,097,358,635,
287,768,606,164,479,608,079,387,429,709,325,328,605,043,275,720,755,544,002,
061,893,631,739,731,025,861,223,210,142,755,568,209,199,309,317,622,986,256,
033,249,140,903,223,357,946,571,965,667,554,138,989,500,984,270,660,162,071,
152,043,742,651,125,792,006,540,565,466,580,311,149,903,548,796,940,342,541,
987,236,453,841,561,156,451,029,500,267,905,380,539,780,343,974,485,077,784,
467,798,413,714,204,341,038,526,232,722,260,076,004,800,329,565,424,624,404,
591,037,948,479,651,370,528,160,701,302,515,944,980,048,803,634,470,031,372,
169,221,046,000,100,233,457,748,297,764,105,627,497,506,304,928,278,047,901,
557,219,859,768,153,223,890,369,658,677,390,932,048,571,562,823,418,465,286,
255,365,668,085,075,607,828,085,115,478,716,749,057,311,564,802,404,729,639,
922,170,073,298,620,203,895,076,425,441,208,842,355,715,646,647,243,884,452,
036,822,945,145,581,354,164,600,345,586,399,999,528,639,895,256,931,072,850,
793,282,666,631,536,588,107,131,476,403,185,914,693,279,828,067,896,392,442,
726,097,206,088,059,875,375,198,626,907,289,445,233,862,352,886,731,492,619,
431,786,161,756,175,529,507,218,924,921,007,297,195,792,307,805,081,210,070,
072,623,201,423,172,127,962,394,713,273,597,223,013,590,321,469,479,638,126,
242,820,586,992,038,085,021,381,363,378,244,021,819,033,496,237,272,698,376,
015,405,779,182,469,965,127,980,850,606,971,306,015,173,987,428,744,214,120,
517,791,220,917,469,031,778,876,079,706,594,978,960,422,141,282,034,899,877,
030,543,065,511,576,710,039,540,730,608,628,945,497,819,603,243,209,133,861,
732,225,884,717,950,781,651,716,674,014,652,665,934,776,865,096,486,264,190,
367,602,459,888,610,046,194,270,866,701,496,012,337,129,984,771,725,509,371,
647,941,808,666,136,169,396,465,346,636,271,793,105,768,511,244,649,453,315,
693,945,481,417,401,722,676,256,525,437,196,559,132,282,580,989,935,013,348,
195,103,408,719,450,383,894,381,522,657,103,522,816,928,401,913,148,816,117,
958,016,417,865,294,114,819,987,310,430,395,241,355,067,313,328,940,296,329,
062,266,179,242,895,312,404,375,118,902,617,797,964,537,582,857,350,822,920,
935,210,771,997,596,955,098,020,995,685,755,371,386,911,793,485,639,936,669,
016,599,967,980,227,960,199,547,943,780,176,339,941,575,663,854,981,819,381,
397,005,217,539,577,513,824,114,559,678,553,120,233,289,550,478,648,863,136,
293,552,928,536,535,196,504,395,716,606,843,491,468,431,343,053,580,456,565,
169,117,812,939,471,293,180,292,315,374,159,154,069,734,378,682,325,216,718,
079,895,031,214,630,847,060,281,178,943,831,595,839,463,758,158,040,184,075,
268,627,463,542,661,161,905,226,557,451,253,047,896,349,681,854,157,773,770,
805,134,655,578,294,953,563,465,725,429,838,678,586,863,425,702,876,582,407,
792,415,280,784,264,746,517,749,695,294,133,937,625,793,089,050,642,168,984,
907,297,912,301,972,860,268,099,344,792,989,835,467,016,273,576,392,424,520,
839,986,344,993,166,299,840,013,535,474,406,983,887,098,168,211,658,508,614,
831,708,796,386,856,085,014,714,684,783,156,797,685,574,258,437,163,802,280,
122,225,307,050,599,763,891,245,194,181,301,008,673,681,610,815,430,437,755,
056,348,765,382,696,818,502,296,947,870,344,595,242,868,649,842,932,896,418,
657,710,465,972,104,065,616,259,375,928,771,990,341,595,778,957,443,456,543,
723,373,483,153,963,861,654,938,250,612,510,148,155,928,511,223,941,709,179,
810,727,761,719,726,861,212,939,489,340,649,989,862,514,257,308,189,143,637,
486,010,763,870,377,640,073,313,482,996,280,768,624,422,492,604,147,956,994,
395,673,805,061,639,135,108,399,826,656,811,067,689,575,873,732,034,535,573,
261,040,367,000,309,217,623,054,410,735,190,358,869,046,636,385,392,569,758,
540,946,262,270,872,626,546,980,430,720,935,136,828,705,138,819,737,210,394,
731,181,423,766,602,598,710,081,051,070,665,174,106,369,853,002,337,563,317,
371,226,565,413,628,420,384,608,862,719,554,801,923,004,649,070,698,641,012,
242,469,021,436,090,744,842,497,024,232,105,067,823,118,943,066,345,369,802,
044,243,047,211,551,081,015,085,638,328,900,267,893,838,046,471,340,390,976,
472,908,201,893,332,882,215,387,224,196,804,146,430,445,043,403,324,102,837,
433,345,538,597,235,054,294,894,470,414,732,180,174,558,208,363,275,442,495,
192,730,302,054,739,115,152,815,515,350,401,233,218,049,911,760,882,571,822,
324,203,554,354,396,321,358,882,266,353,667,499,430,102,581,303,664,130,346,
289,599,674,034,178,621,831,933,814,053,821,620,325,531,994,036,158,331,566,
745,856,757,628,504,410,103,288,763,488,283,443,383,491,055,228,014,547,874,
821,978,482,647,516,708,027,680,764,854,008,479,711,731,751,719,700,127,965,
521,842,298,982,505,843,801,963,754,792,324,126,245,373,294,830,132,861,455,
195,171,541,087,738,866,826,811,661,667,497,170,692,589,687,704,515,678,603,
680,204,385,634,001,710,646,940,436,321,262,368,590,301,938,274,532,827,760,
666,362,222,604,019,983,295,452,586,840,367,272,918,664,606,067,348,715,501,
302,721,339,238,627,417,830,387,797,856,913,660,187,420,733,626,082,189,343,
604,273,736,049,831,580,419,825,033,563,136,798,786,307,880,418,716,761,217,
396,694,197,779,990,210,524,007,414,835,243,469,354,321,536,900,448,327,697,
902,679,774,695,120,752,762,730,736,515,458,880,724,749,189,650,078,884,970,
677,890,988,981,882,761,362,854,013,119,664,984,605,141,613,619,655,923,518,
286,678,760,820,181,042,242,162,105,258,245,513,204,731,771,574,229,869,842,
147,360,253,227,714,805,680,985,651,625,510,655,855,902,313,841,481,497,936,
258,605,178,004,618,598,177,360,253,841,487,309,664,012,086,287,919,559,582,
315,601,647,615,668,414,072,946,397,739,542,157,577,806,659,970,021,923,069,
072,279,927,311,008,332,548,233,549,908,960,679,083,991,917,130,830,212,130,
248,810,430,322,449,459,178,973,842,340,820,384,372,532,809,502,090,246,231,
637,608,077,223,220,068,890,397,204,770,285,668,726,166,468,437,818,838,407,
354,625,651,226,109,822,314,319,514,241,821,190,342,551,379,170,249,424,548,
771,541,870,318,071,264,713,841,584,926,776,971,998,228,204,418,414,906,354,
416,682,834,298,561,226,473,191,682,787,633,405,805,051,500,735,105,627,665,
241,586,421,594,675,657,310,460,939,317,289,099,986,149,201,129,055,847,556,
821,543,296,029,911,001,594,682,682,691,381,385,108,644,999,856,522,880,561,
170,541,495,496,475,000,626,303,042,414,853,516,123,194,750,621,125,734,778,
149,458,207,178,619,892,514,456,897,665,961,820,708,395,685,780,907,629,393,
233,327,136,957,775,996,846,223,761,712,619,754,463,853,744,375,005,679,885,
353,854,204,168,949,844,892,933,871,761,105,192,683,253,358,874,737,605,098,
770,473,186,654,606,475,735,424,816,082,084,337,045,308,487,538,334,671,135,
841,998,809,842,059,268,506,816,434,077,299,020,243,476,718,670,150,147,247,
671,569,870,104,454,130,845,305,086,888,974,596,123,660,237,965,709,561,583,
536,182,023,677,822,512,338,992,602,665,934,939,770,755,269,490,467,617,528,
243,014,849,988,128,916,081,152,858,496,983,388,144,391,519,545,235,200,268,
793,335,977,121,966,922,842,679,506,318,705,885,535,284,289,874,101,750,873,
851,028,384,493,920,996,769,851,004,845,929,701,550,172,560,783,991,462,301,
550,578,190,757,430,857,596,441,154,239,410,300,652,507,883,114,810,224,204,
698,079,495,877,425,958,156,659,612,606,625,713,167,197,279,791,903,791,504,
855,447,263,211,461,731,923,820,919,124,592,353,493,988,128,113,498,578,087,
982,592,774,595,873,231,216,267,355,437,560,841,095,456,988,276,665,586,229,
972,810,829,516,029,833,564,452,715,218,943,369,875,872,574,333,504,172,325,
743,538,831,039,336,096,151,025,051,274,368,276,711,122,106,744,967,072,256,
339,132,763,766,840,953,737,538,590,788,333,669,917,547,425,831,941,441,183,
521,810,927,420,350,579,600,852,161,820,269,302,175,938,334,735,044,916,567,
639,597,303,742,011,860,003,037,421,958,348,377,945,250,569,078,673,460,035,
659,797,141,439,959,890,684,704,394,391,223,557,282,021,864,091,595,251,104,
397,830,774,839,114,808,810,325,493,375,733,262,853,653,937,184,041,967,949,
287,751,311,038,394,599,447,591,911,692,999,092,598,230,329,205,044,509,031,
135,215,454,357,547,312,507,168,190,396,266,636,569,828,939,336,619,548,178,
431,309,413,060,149,815,578,466,483,628,782,276,866,200,822,391,512,101,710,
836,300,874,040,034,229,893,248,883,399,818,011,086,795,215,830,991,406,983,
279,394,660,534,858,402,669,799,491,114,223,167,236,810,424,813,578,686,928,
027,970,323,611,013,916,801,986,090,645,168,411,178,618,974,593,567,804,110,
007,075,816,799,210,072,741,839,770,657,490,575,020,214,186,917,268,544,323,
549,070,258,399,461,891,856,296,376,267,177,626,634,884,455,496,464,263,672,
239,378,531,731,657,997,774,886,435,515,726,373,923,393,135,021,696,192,114,
442,222,576,309,939,203,373,164,442,805,044,977,846,427,614,447,333,932,543,
388,600,143,274,957,432,269,711,934,726,445,207,092,482,416,919,410,415,000,
636,536,523,899,405,048,748,584,775,498,106,281,457,285,213,906,970,070,207,
769,190,038,860,231,968,966,525,776,336,181,945,768,178,537,521,453,692,514,
274,206,695,288,588,415,757,159,075,023,727,804,031,273,572,282,947,438,498,
063,443,658,344,644,280,334,367,121,306,005,916,360,031,415,246,820,690,983,
479,647,023,516,666,688,818,193,437,201,405,208,001,618,838,637,061,018,075,
700,564,660,827,657,460,398,754,918,244,613,685,873,748,926,353,883,824,202,
323,530,026,921,863,174,201,886,662,138,416,105,221,577,135,736,716,031,639,
792,591,930,993,613,925,797,837,726,457,677,445,779,699,427,887,223,883,954,
615,505,825,528,511,910,120,466,429,878,277,300,070,753,482,568,369,455,589,
869,185,017,000,447,367,219,389,400,282,912,173,387,958,892,611,016,736,258,
895,883,699,196,461,283,701,744,324,315,883,109,389,959,755,821,466,365,975,
580,262,742,983,765,373,710,586,717,428,964,875,254,466,164,302,184,235,658,
880,356,003,241,747,746,907,464,223,046,794,932,555,386,345,710,939,726,603,
686,397,175,214,840,644,970,250,359,272,899,269,293,071,922,045,927,081,891,
517,385,767,846,622,082,038,620,373,606,733,201,935,805,555,348,931,540,035,
656,849,853,433,859,906,285,031,404,544,216,224,285,288,739,461,722,079,215,
091,621,197,984,798,349,943,826,886,023,003,202,684,306,517,390,560,140,270,
073,775,825,698,259,552,723,618,422,954,017,213,970,632,208,222,906,196,130,
131,855,751,191,554,507,429,109,719,559,932,414,931,408,513,753,547,328,739,
775,778,205,700,262,952,778,292,337,623,135,265,372,835,773,193,154,854,681,
685,094,733,194,099,004,055,667,908,157,554,720,117,251,374,661,766,015,798,
581,360,518,230,186,250,777,755,641,108,561,461,720,449,874,637,199,647,845,
627,418,284,090,754,133,526,920,588,417,169,422,767,173,922,070,308,912,154,
255,548,566,263,647,114,665,229,459,961,744,758,288,533,481,735,371,879,071,
456,603,463,462,725,678,727,792,124,959,071,884,088,943,753,398,892,012,620,
373,955,652,484,558,866,714,671,597,413,737,326,266,573,087,165,601,563,861,
204,345,828,998,826,442,365,058,593,260,952,263,637,407,016,653,508,379,076,
834,470,437,609,312,503,991,483,226,938,204,978,775,134,565,627,017,465,283,
402,538,955,200,880,494,289,933,286,069,134,161,914,694,357,021,976,038,872,
220,629,750,058,666,602,743,905,525,407,908,680,063,990,964,463,527,407,862,
463,050,439,122,947,286,034,654,373,228,201,932,108,920,660,697,908,902,445,
138,048,714,719,451,516,040,264,472,867,353,839,574,792,445,098,559,164,591,
731,186,956,763,006,004,823,326,641,997,784,130,237,623,106,423,613,493,562,
012,863,599,241,236,030,760,698,660,162,481,359,484,020,301,289,065,144,540,
072,200,987,655,003,495,279,505,828,350,821,193,540,841,943,243,602,442,931,
908,678,311,450,389,719,351,429,104,561,796,905,003,570,547,882,663,340,765,
854,914,011,678,399,123,856,014,787,769,127,743,512,509,389,822,958,125,272,
098,985,060,577,248,887,000,053,086,942,750,693,192,246,553,505,220,155,140,
393,721,445,952,568,138,969,277,814,900,952,162,306,184,650,466,072,519,479,
789,087,465,885,424,626,773,008,338,890,657,732,733,417,881,023,917,435,890,
821,533,439,871,650,896,588,030,454,779,270,194,701,025,857,408,617,569,373,
760,168,428,123,369,341,850,995,623,572,808,745,703,206,526,136,241,342,374,
079,359,576,341,898,059,314,555,009,156,508,779,974,043,402,357,280,537,871,
004,033,731,426,959,319,042,772,673,248,869,257,541,283,063,890,739,350,123,
575,468,591,407,076,011,698,754,911,719,241,512,755,763,876,001,935,325,392,
797,396,850,749,369,671,516,759,965,765,787,038,493,579,817,895,607,891,734,
233,201,566,310,211,336,626,116,929,116,671,787,072,475,478,430,060,478,213,
255,046,405,657,395,516,989,150,743,235,864,877,194,407,021,599,294,778,500,
270,920,125,651,998,334,243,255,114,197,236,751,751,250,114,609,275,001,296,
891,993,091,007,809,356,889,117,383,689,234,598,934,441,200,883,037,623,711,
004,273,799,507,584,442,900,311,427,000,922,666,735,200,594,360,163,826,673,
020,587,148,392,787,347,897,938,033,683,266,829,457,804,436,452,886,867,567,
397,170,909,317,714,559,045,404,897,221,266,469,468,118,026,072,837,792,698,
146,819,344,563,572,250,607,032,595,473,818,243,904,569,998,997,691,301,993,
653,262,959,591,465,370,077,296,979,701,243,585,718,245,566,493,761,138,452,
008,798,097,845,807,575,488,605,743,939,650,841,735,515,010,992,739,995,119,
398,222,192,526,637,636,773,326,727,776,611,692,969,894,549,529,430,224,669,
499,210,889,983,480,677,250,335,193,401,690,808,221,570,516,850,300,623,199,
495,059,586,853,485,083,597,713,189,868,864,690,617,967,686,440,573,810,613,
957,944,971,358,934,926,207,754,572,072,886,973,324,114,835,080,312,697,605,
424,068,494,671,247,122,175,683,884,437,374,639,934,423,481,733,108,803,726,
046,991,363,147,353,671,787,108,847,976,645,154,898,679,292,616,454,647,885,
856,137,177,593,075,923,809,334,439,293,623,979,836,410,067,226,529,774,757,
735,523,042,667,451,641,148,944,564,283,438,106,030,025,745,961,234,442,554,
959,579,499,864,343,102,994,629,432,469,587,967,061,085,905,715,517,269,721,
014,531,463,562,252,244,721,490,732,534,689,174,182,136,382,556,709,716,387,
180,298,935,167,805,213,567,038,727,694,195,392,628,646,997,009,077,255,026,
927,837,805,377,767,744,590,254,150,808,407,260,199,186,484,451,685,790,071,
864,431,220,681,761,905,055,401,267,774,365,498,933,472,185,578,800,604,547,
914,618,642,847,754,103,550,068,363,392,562,403,268,993,359,670,441,688,345,
994,595,187,670,891,611,116,219,287,520,399,732,503,879,862,766,897,223,061,
892,919,556,505,045,061,850,952,884,727,827,692,931,827,223,196,650,297,745,
021,601,467,227,386,881,374,366,851,096,613,155,840,196,410,585,215,470,209,
023,114,634,041,294,544,778,925,826,747,320,773,338,716,842,961,282,861,828,
607,877,585,106,032,930,191,301,885,685,366,757,861,252,498,063,681,554,002,
964,281,755,455,044,855,385,761,027,336,830,107,603,170,788,769,451,108,750,
210,724,821,266,080,235,474,607,190,145,591,282,740,579,109,744,184,676,680,
489,364,069,571,318,979,658,415,360,324,480,439,658,456,607,236,768,748,362,
560,877,910,975,080,560,946,602,704,923,036,366,695,238,049,333,766,648,719,
385,932,027,699,335,054,031,370,092,767,168,644,669,076,750,690,475,877,694,
788,014,206,551,951,319,372,101,403,175,567,866,843,529,418,681,945,317,719,
341,244,373,996,871,782,895,637,469,750,506,572,863,590,681,599,784,545,868,
291,817,997,586,257,536,708,654,586,017,527,740,963,209,482,165,591,687,273,
606,582,815,196,060,845,028,013,158,218,556,922,669,913,174,635,162,055,368,
963,403,666,043,737,377,187,134,563,190,236,504,058,638,192,161,379,355,063,
356,988,833,056,656,988,645,775,222,956,227,615,609,336,560,273,443,188,704,
158,606,183,955,733,372,732,565,171,464,228,533,873,612,122,811,585,393,593,
510,211,306,216,896,443,708,919,955,891,312,459,481,543,000,254,359,057,319,
399,434,450,405,307,120,075,293,756,611,595,258,034,820,665,833,701,933,027,
248,230,762,979,643,403,238,350,648,365,419,206,145,328,159,596,011,079,530,
759,809,472,852,561,911,405,656,767,476,234,964,250,152,291,395,613,983,150,
151,531,920,240,736,678,289,050,378,265,653,614,098,111,016,755,359,737,960,
005,061,106,459,238,669,238,390,158,768,000,990,666,115,944,155,852,629,801,
287,223,832,830,368,043,030,559,214,472,384,645,689,842,726,057,270,482,355,
675,302,288,729,137,488,638,819,955,881,794,120,173,496,991,395,020,629,566,
132,790,941,598,229,965,686,068,661,410,979,562,070,723,840,386,113,184,103,
338,204,494,018,649,927,347,163,115,239,112,729,293,937,912,320,222,939,136,
232,186,891,989,790,537,053,142,655,019,753,432,051,463,943,905,428,806,883,
000,839,333,090,987,888,749,862,168,255,864,704,696,607,948,762,933,687,908,
249,807,869,332,619,356,875,414,621,575,956,937,026,535,555,832,572,713,082,
854,082,614,756,379,261,322,412,160,205,831,519,687,728,863,699,308,840,770,
424,165,643,418,873,289,448,316,685,463,490,623,345,868,519,640,124,378,464,
910,790,913,380,158,657,788,202,797,638,412,982,592,308,708,487,092,070,958,
603,890,345,853,129,396,044,965,078,652,351,295,970,792,519,652,757,565,925,
429,322,791,362,449,607,782,805,859,922,689,944,563,717,986,277,782,158,457,
109,392,767,226,835,180,067,776,008,734,221,297,782,710,416,177,562,862,451,
777,495,483,437,848,193,924,779,568,247,039,193,917,663,626,696,103,023,027,
239,607,283,614,908,357,804,548,806,025,252,664,138,250,872,636,192,166,195,
344,195,566,772,417,080,339,491,284,706,338,662,734,271,397,284,614,182,801,
038,320,698,665,490,904,391,016,636,449,442,695,028,600,412,839,323,928,003,
828,714,709,077,081,896,443,733,740,949,239,103,677,243,446,912,918,409,543,
060,045,877,100,931,930,160,447,203,749,099,862,308,375,961,953,394,905,318,
478,543,596,418,191,844,560,600,512,743,154,988,659,168,171,378,728,349,948,
218,968,306,536,839,427,110,819,301,002,811,314,517,208,322,041,031,930,166,
915,222,704,545,939,579,996,910,941,100,887,776,615,644,154,206,264,224,405,
599,627,157,525,369,644,990,223,659,399,376,697,984,322,031,523,684,676,280,
547,827,990,956,364,126,285,180,054,127,549,835,621,197,664,763,197,107,577,
527,621,484,951,635,838,353,249,922,991,734,096,970,735,692,110,320,044,059,
776,296,245,844,664,777,664,684,152,219,294,778,904,200,417,121,241,898,303,
727,788,673,883,261,359,064,818,111,916,012,801,945,053,003,179,432,712,159,
724,718,300,377,208,398,892,868,604,347,485,998,367,312,295,704,612,384,080,
272,268,992,545,624,859,083,860,813,702,898,434,761,329,057,778,081,677,024,
508,112,650,408,851,993,884,180,821,368,817,308,786,652,423,946,725,573,771,
787,219,152,545,496,833,883,887,210,228,978,028,240,596,258,884,038,353,368,
113,956,241,553,505,105,012,291,352,587,959,356,869,041,510,537,890,710,629,
678,760,280,619,394,050,011,425,617,829,596,841,372,879,777,249,212,777,358,
087,012,478,067,458,026,417,269,707,956,405,486,233,945,326,743,061,563,041,
030,312,152,611,080,511,883,039,773,192,961,371,919,453,334,295,058,132,781,
171,226,549,316,126,915,914,321,226,676,242,911,444,858,759,275,333,012,549,
972,533,505,176,705,184,787,747,798,603,190,404,386,036,494,306,704,424,725,
276,014,553,144,308,415,963,464,573,483,568,184,910,578,798,814,492,243,144,
953,707,415,462,698,837,315,798,202,750,936,031,356,219,925,412,641,811,504,
772,228,537,588,557,541,641,424,996,600,307,867,568,674,934,606,737,354,831,
631,055,862,795,313,776,083,599,203,466,301,908,547,201,841,855,263,294,290,
868,340,587,132,411,720,958,125,759,842,161,640,488,489,934,106,845,498,004,
655,544,856,260,532,168,591,084,316,714,918,337,234,024,765,007,504,231,503,
796,291,853,116,976,226,026,004,511,900,990,457,122,746,812,339,707,302,983,
812,572,086,414,196,260,023,554,112,103,205,511,698,565,979,572,038,973,119,
041,530,735,130,310,573,526,613,489,983,332,800,278,053,866,328,322,972,541,
046,768,239,033,373,043,544,903,774,370,456,633,751,338,035,413,668,523,541,
734,226,819,712,994,357,606,893,614,985,458,911,680,691,251,140,997,723,204,
910,320,431,257,512,865,623,777,840,793,602,237,652,270,214,182,132,210,744,
304,367,363,265,687,575,845,409,936,200,316,925,866,346,267,858,997,701,071,
171,633,651,456,792,445,086,508,339,757,064,350,068,717,637,975,898,893,562,
733,498,554,247,298,731,625,101,522,287,310,399,028,046,738,500,179,185,488,
946,882,011,440,536,645,901,681,692,869,540,268,260,911,540,161,198,929,374,
340,436,158,866,152,724,652,776,728,465,514,014,034,907,321,338,835,822,948,
332,893,100,829,273,302,512,034,661,103,611,974,251,899,961,893,838,466,155,
825,122,224,729,744,190,019,770,828,144,946,379,596,256,155,900,202,760,165,
524,554,250,516,900,847,308,144,228,859,437,273,642,401,581,767,640,394,889,
564,701,533,009,529,492,491,654,040,215,810,093,612,528,703,198,703,062,941,
678,833,661,951,448,801,982,707,592,654,334,787,137,181,507,355,984,770,925,
560,368,164,407,426,712,746,659,165,314,600,143,904,790,599,042,937,486,766,
020,013,043,338,275,006,817,072,504,751,862,997,839,769,460,524,469,977,289,
695,535,411,260,038,375,517,583,990,000,209,483,484,943,006,657,424,175,137,
728,277,198,007,092,653,823,759,718,737,171,242,621,006,793,105,842,240,097,
668,012,410,986,240,791,327,990,332,207,383,962,797,245,209,704,911,867,659,
649,577,510,335,263,343,362,593,553,023,775,086,229,304,931,847,299,719,365,
085,973,215,994,908,800,580,651,019,883,612,109,596,674,905,758,676,022,272,
711,732,863,154,648,077,399,677,828,080,610,969,465,949,489,399,846,233,683,
994,264,286,643,806,347,793,847,091,331,004,870,412,876,403,305,342,376,712,
402,256,313,138,310,484,685,668,287,639,277,809,754,343,909,036,311,538,916,
046,122,577,044,196,944,920,820,604,474,737,968,373,409,030,225,454,434,165,
708,701,014,420,128,972,171,691,708,004,399,757,912,692,721,004,133,255,529,
806,534,177,279,627,989,092,986,152,702,298,360,330,279,561,783,839,794,692,
624,301,409,134,268,179,189,296,244,020,887,245,236,044,916,731,838,467,205,
912,597,933,075,636,957,500,281,162,937,089,526,987,074,211,488,576,760,843,
971,959,045,904,122,740,691,250,109,976,291,004,944,999,833,682,137,437,940,
193,519,969,402,487,004,474,116,266,541,726,072,642,436,880,339,556,843,741,
512,693,348,846,076,671,431,642,718,490,596,891,622,066,695,938,937,650,257,
834,696,609,487,085,617,953,952,787,462,382,473,907,019,638,828,788,347,232,
435,755,343,066,924,955,116,560,807,582,173,895,409,156,814,210,578,788,578,
045,935,738,738,864,961,163,158,952,669,709,871,432,649,324,086,089,857,283,
264,576,621,259,732,851,830,058,595,219,926,747,458,781,099,079,235,957,237,
589,646,105,345,139,533,399,885,916,886,174,803,869,333,185,813,990,760,610,
678,009,654,508,447,874,790,551,404,392,491,814,522,629,393,948,546,628,113,
604,180,833,598,410,446,070,801,545,308,334,236,994,886,611,468,440,512,253,
587,706,984,125,100,269,771,190,463,339,815,179,513,410,168,835,157,144,063,
779,955,871,415,953,718,230,830,933,966,380,288,084,644,924,927,756,330,670,
899,899,091,540,448,627,932,995,198,470,557,128,139,191,543,569,145,460,979,
284,669,190,185,591,592,541,481,103,385,738,491,114,147,436,840,460,436,298,
620,585,101,598,831,622,655,806,095,739,035,293,860,017,500,790,459,967,522,
462,204,723,235,148,453,370,631,421,179,338,831,002,100,924,024,468,834,516,
015,465,165,467,140,545,488,816,707,570,398,099,684,807,187,500,594,577,330,
382,219,947,250,485,480,347,648,718,809,452,629,539,388,244,786,576,448,910,
339,377,805,327,276,441,709,736,772,970,676,795,643,360,869,661,857,764,434,
311,820,261,274,901,062,928,018,066,631,452,540,320,447,778,221,370,235,979,
747,645,989,793,843,884,590,031,651,503,406,243,657,081,187,828,563,027,125,
828,989,309,892,066,827,288,764,641,688,508,334,769,247,751,922,997,610,552,
509,579,103,784,450,068,244,467,146,911,489,723,662,735,269,779,600,412,481,
815,564,091,226,791,519,986,435,150,827,587,178,062,201,621,698,787,973,608,
787,437,796,203,394,244,995,158,531,948,470,331,674,021,883,347,243,133,740,
388,762,128,791,233,008,540,692,464,111,411,638,578,933,984,636,147,178,472,
566,049,196,981,577,954,036,624,267,849,006,408,925,483,925,502,521,840,364,
165,153,429,100,684,691,064,750,769,171,767,314,687,064,517,079,297,776,297,
973,196,940,090,015,882,909,362,647,161,505,839,362,590,931,695,589,021,360,
074,695,429,063,675,110,983,761,938,980,914,299,116,331,758,213,103,755,817,
130,756,606,041,999,870,344,822,949,412,993,664,225,028,245,979,281,070,366,
356,376,024,778,309,546,607,545,139,306,793,851,125,423,208,758,091,591,231,
643,901,164,616,094,634,957,751,804,782,031,054,779,996,041,310,214,190,167,
678,338,301,322,945,365,359,364,826,991,760,631,770,701,054,577,638,167,065,
073,733,690,181,313,661,334,733,080,799,873,602,481,345,420,901,156,857,864,
036,819,152,677,048,802,174,737,628,803,016,287,276,509,808,823,923,996,771,
456,775,333,527,951,665,649,764,501,492,924,304,786,681,364,431,067,730,074,
976,643,493,483,482,238,269,636,185,457,507,921,633,812,169,129,047,422,052,
889,296,430,637,012,107,062,198,410,711,344,787,780,161,145,342,593,020,301,
524,422,054,767,073,039,623,032,150,134,472,868,837,199,225,644,325,801,021,
204,229,787,705,917,311,359,023,519,980,000,832,053,896,684,670,882,839,745,
549,610,712,391,295,489,672,487,033,218,897,859,984,990,572,467,862,293,095,
028,610,459,583,823,805,278,132,936,532,328,447,959,990,529,939,314,962,062,
794,749,982,761,041,587,853,420,816,394,348,098,420,908,579,150,864,686,726,
051,440,103,020,189,365,483,302,292,977,670,371,161,672,006,919,672,693,919,
516,390,526,939,848,141,323,507,061,887,485,285,619,541,346,985,648,799,074,
385,653,308,928,706,502,186,162,766,281,029,271,737,439,197,779,701,943,147,
795,607,034,191,506,847,662,067,427,761,154,790,420,158,309,491,460,207,980,
876,479,425,018,597,487,931,638,017,072,953,920,349,710,465,958,477,054,706,
628,635,818,430,005,905,843,441,760,709,348,465,638,163,632,751,809,244,476,
044,961,472,962,090,095,531,329,561,075,673,907,985,535,575,138,493,568,224,
933,299,595,842,735,553,469,789,277,878,975,094,100,013,903,365,734,391,929,
392,251,232,814,658,323,266,351,091,455,166,035,100,279,269,762,431,679,015,
079,476,934,300,154,613,083,997,916,283,229,048,780,736,184,238,661,350,314,
398,059,665,338,115,680,089,687,936,773,461,574,775,183,661,003,903,118,510,
500,181,291,264,354,657,350,832,446,215,034,933,182,396,019,073,902,609,118,
507,077,337,070,311,685,799,061,406,641,554,448,234,593,169,937,540,297,651,
836,622,967,843,260,294,271,470,859,088,453,309,648,058,565,069,112,772,879,
797,955,847,434,848,854,934,153,671,760,516,510,394,704,920,738,107,260,862,
202,067,800,002,628,060,829,146,489,364,998,782,456,830,279,272,209,511,894,
110,059,598,795,539,439,604,991,082,188,406,814,800,154,959,629,356,761,254,
859,390,335,788,002,445,512,788,697,158,965,667,205,520,616,735,878,094,797,
182,467,175,394,595,151,456,130,499,562,708,148,727,884,822,199,535,386,462,
411,019,149,424,590,393,037,775,312,695,318,381,217,587,989,309,891,548,760,
133,712,033,364,932,033,062,303,668,225,092,533,693,662,171,175,202,908,479,
934,654,596,783,485,495,452,361,329,515,632,041,373,794,825,539,043,281,592,
217,720,366,793,475,096,281,194,562,186,592,561,783,441,433,895,178,474,292,
583,493,278,792,473,345,704,498,826,772,265,833,932,376,180,489,769,813,453,
239,757,126,582,994,038,274,798,486,082,750,648,693,239,466,110,354,255,700,
270,659,045,669,056,170,501,364,217,570,475,939,998,686,065,305,057,144,059,
551,261,539,759,504,646,027,281,072,178,379,501,758,436,808,543,400,295,834,
037,965,507,844,890,779,470,717,933,372,541,111,965,293,513,549,426,320,448,
935,959,647,224,626,532,798,466,136,610,445,600,384,329,233,641,862,351,912,
877,661,402,256,102,289,838,706,070,230,923,529,297,695,457,858,991,713,907,
057,669,264,015,423,380,369,999,700,068,568,440,167,100,159,923,572,268,069,
529,499,606,321,245,508,787,537,458,648,263,769,136,362,900,547,259,565,083,
908,766,124,180,774,989,778,579,401,447,904,835,003,474,927,901,864,429,151,
692,238,558,509,053,701,883,180,980,546,329,929,081,935,017,630,593,897,253,
653,519,994,073,163,797,842,577,081,293,143,205,570,762,186,702,636,855,721,
599,848,222,183,795,558,622,292,370,255,544,017,659,927,543,518,862,831,439,
773,842,143,839,788,315,968,738,618,787,950,881,507,388,517,784,560,829,098,
977,731,706,053,568,764,096,024,461,093,416,886,862,810,372,705,570,642,797,
264,802,305,816,675,412,883,963,588,802,501,144,357,262,560,077,975,893,854,
394,911,041,870,707,365,080,360,080,493,317,324,289,774,916,688,613,210,554,
125,473,167,962,624,820,615,648,362,955,128,739,999,664,732,560,221,410,369,
911,515,317,948,442,231,460,774,430,457,975,302,294,960,792,560,830,845,924,
221,115,958,306,372,616,111,505,466,550,178,979,432,640,007,467,106,919,551,
247,539,280,066,960,521,341,059,915,992,338,484,486,323,232,762,150,702,885,
549,159,687,196,168,453,537,217,334,378,165,757,989,893,661,040,336,277,189,
264,577,556,238,165,482,406,596,129,141,382,639,481,580,525,558,393,812,284,
706,814,143,197,188,549,795,190,060,116,929,080,978,806,056,265,748,365,252,
956,458,397,205,125,508,022,732,317,820,673,263,027,047,198,082,720,969,134,
615,054,151,227,388,614,079,111,782,885,147,411,472,996,866,020,939,886,008,
224,606,167,947,972,751,714,342,924,149,180,261,957,659,674,927,733,254,250,
241,771,139,032,315,432,742,033,114,506,036,953,936,342,517,475,603,576,307,
544,681,852,460,226,185,587,500,475,476,688,383,904,124,803,410,047,359,914,
949,804,042,943,957,375,928,362,419,808,739,427,640,113,592,146,066,768,193,
394,905,293,423,950,755,587,498,364,072,424,088,003,518,983,392,946,183,284,
747,459,955,791,954,606,316,127,353,962,221,401,250,263,997,499,699,862,169,
282,517,446,963,225,516,601,031,653,047,234,970,697,018,914,468,644,701,233,
790,824,949,927,779,119,389,795,703,936,522,984,089,726,106,798,471,936,356,
233,606,777,874,877,434,634,619,904,325,301,745,212,521,258,472,857,322,497,
787,341,741,077,310,770,682,519,459,934,657,024,066,658,937,198,043,071,798,
041,894,049,683,640,043,765,042,344,077,232,680,421,278,933,934,950,010,849,
915,620,049,540,014,309,527,788,625,315,142,479,785,885,385,823,799,039,509,
181,911,046,300,304,634,242,603,931,357,069,288,476,242,075,668,183,602,396,
645,332,160,755,614,041,725,424,414,096,056,018,985,282,274,299,296,581,531,
801,336,670,417,054,669,202,695,289,796,347,196,727,827,416,396,947,031,050,
612,685,245,534,950,677,349,914,310,457,392,646,886,471,646,041,045,694,201,
048,788,179,177,754,989,881,879,288,556,149,182,573,152,935,793,211,657,462,
960,728,509,365,225,420,036,583,279,803,633,965,825,173,248,459,799,809,697,
810,283,844,979,750,772,484,037,418,066,155,619,186,677,445,453,079,925,883,
777,887,159,708,565,407,189,447,588,158,382,710,448,440,126,149,698,918,121,
830,557,950,117,846,177,312,326,120,083,289,004,149,442,501,386,201,903,380,
545,646,644,042,348,429,789,252,937,612,565,178,162,540,448,612,960,681,752,
404,420,870,460,624,658,673,332,899,935,912,469,679,964,042,919,592,528,152,
767,970,308,631,154,844,964,095,347,610,741,000,281,364,406,271,303,236,260,
240,808,675,112,177,245,916,723,639,979,616,503,096,013,124,125,549,693,508,
310,375,625,215,020,903,224,646,780,538,885,176,590,767,672,511,660,707,623,
711,477,713,270,964,772,886,680,420,752,156,626,420,256,418,259,438,271,478,
577,898,916,816,226,560,278,242,618,485,818,073,032,706,929,260,304,407,729,
192,235,435,659,370,588,839,543,467,362,052,483,470,642,438,942,319,282,391,
179,754,578,830,696,093,446,290,639,699,072,573,276,887,926,715,627,896,551,
067,566,425,269,656,566,507,219,841,231,302,280,472,959,236,757,911,891,001,
565,319,229,148,053,432,461,894,705,082,070,733,036,999,283,248,303,086,192,
414,088,182,129,019,868,121,520,962,485,786,979,732,597,975,246,678,870,573,
635,573,515,155,461,865,626,611,005,648,325,603,699,622,063,498,871,846,873,
019,057,403,327,920,581,265,870,277,633,491,029,322,235,512,318,120,782,382,
806,908,326,098,534,624,715,248,753,198,329,330,615,406,789,122,264,106,230,
724,264,189,642,509,251,831,774,442,574,542,189,926,101,946,616,598,926,949,
175,003,739,316,051,647,193,166,013,597,393,797,759,612,992,273,762,766,913,
452,333,688,017,584,291,718,900,142,918,323,334,754,370,865,342,122,558,301,
989,316,673,746,177,639,856,103,256,849,506,349,929,971,705,870,229,831,648,
218,443,205,904,168,987,373,432,230,355,939,852,849,502,918,280,756,106,224,
036,750,599,881,675,990,462,975,656,543,125,625,402,891,883,577,784,100,584,
573,532,328,830,654,828,143,612,914,231,418,264,869,311,922,994,853,481,614,
766,013,103,828,084,122,453,458,007,331,152,293,873,529,175,456,066,298,924,
261,501,518,077,495,734,791,566,335,998,675,490,695,057,065,632,633,116,107,
619,642,619,136,495,996,153,149,530,945,597,525,406,666,250,078,094,939,992,
841,860,914,130,805,288,910,839,880,998,524,394,591,868,954,745,055,435,143,
881,672,411,345,478,557,460,531,366,388,050,958,417,200,655,468,201,282,751,
534,548,309,872,345,298,292,985,984,487,027,007,687,229,699,328,890,707,052,
254,458,230,629,608,854,013,206,365,321,953,902,125,870,950,671,198,430,934,
309,561,195,926,284,189,841,759,942,200,264,409,985,394,617,021,755,439,923,
912,868,344,269,432,552,219,049,991,537,057,144,355,903,845,704,937,520,584,
877,356,035,106,226,759,380,041,570,746,030,923,882,302,759,121,318,593,712,
212,698,282,131,369,739,301,262,095,580,599,858,120,269,344,511,495,256,572,
552,180,743,516,906,867,680,254,381,715,573,450,826,660,259,766,181,989,029,
561,809,833,091,350,794,697,011,425,815,627,403,255,167,656,725,176,154,669,
307,155,993,710,589,763,878,457,001,651,892,809,868,789,993,826,670,328,952,
688,939,926,504,277,693,739,145,750,100,590,019,003,630,246,700,159,533,170,
915,465,908,234,596,385,277,636,197,410,291,101,599,093,432,263,788,191,958,
365,218,360,383,682,698,703,291,562,361,356,753,120,857,203,025,754,151,575,
305,943,872,631,191,026,869,112,428,965,946,594,652,811,934,569,112,037,256,
451,543,993,544,008,939,513,261,927,408,992,628,713,574,793,934,534,063,855,
661,237,068,379,379,181,460,437,921,158,477,831,281,711,989,687,803,537,299,
477,589,227,408,960,344,541,971,707,918,222,054,313,272,483,528,566,724,136,
293,749,245,807,359,984,843,534,234,932,631,210,135,796,221,615,405,455,954,
387,224,249,969,426,645,470,064,731,705,490,532,160,424,526,436,463,386,335,
588,724,958,407,113,500,315,115,535,897,208,183,148,866,732,645,202,450,709,
625,045,668,047,251,180,951,576,979,225,417,175,202,736,861,756,724,959,944,
990,724,789,354,675,477,707,804,829,626,261,068,936,975,858,051,876,460,424,
433,947,579,145,958,264,517,733,561,778,557,784,731,919,337,446,030,283,779,
193,595,320,507,971,768,028,150,505,130,941,511,892,735,969,487,729,730,253,
167,907,094,398,090,181,027,375,458,850,271,755,946,253,737,345,514,478,652,
333,267,089,218,274,977,377,085,014,356,748,075,320,958,761,608,087,128,740,
897,291,125,705,311,608,517,234,042,052,693,041,868,937,066,236,476,034,041,
833,383,506,658,737,443,488,415,395,550,987,745,684,892,825,051,532,740,910,
898,707,422,111,378,828,211,029,627,489,787,296,495,530,613,135,129,642,348,
043,337,205,616,725,897,670,265,668,122,267,700,209,510,199,369,594,391,579,
764,721,846,610,625,675,629,792,730,637,603,895,129,754,284,622,037,369,276,
837,947,405,839,355,641,487,777,956,905,757,564,686,138,608,826,585,120,093,
480,122,736,476,277,858,846,217,045,358,144,843,812,210,661,950,779,507,910,
798,850,889,068,646,066,437,686,041,968,773,098,643,761,161,014,485,629,496,
575,638,673,962,454,374,476,644,154,581,431,432,599,720,733,869,428,418,557,
422,145,901,029,657,143,793,610,897,603,110,406,837,920,170,810,623,746,982,
034,643,755,825,262,460,827,527,721,026,233,048,490,590,536,846,462,893,558,
194,801,068,282,723,431,870,462,493,720,036,556,215,578,763,574,756,106,898,
616,609,309,784,938,878,774,576,210,016,226,141,476,025,110,394,481,190,139,
953,784,313,722,744,470,898,556,324,067,692,676,994,166,455,458,925,388,552,
301,345,573,205,124,983,509,433,767,212,727,029,532,491,784,253,513,663,330,
783,433,758,490,468,759,917,936,218,726,874,125,261,192,662,526,113,343,175,
946,410,730,726,615,818,854,596,585,749,903,583,398,218,779,653,899,845,852,
082,369,521,088,737,877,455,393,443,122,265,055,147,989,045,449,392,780,625,
751,481,693,650,156,309,143,721,673,094,062,657,521,171,871,407,717,848,864,
252,006,706,359,231,204,767,077,241,496,106,235,431,469,037,191,575,498,808,
092,003,231,669,757,715,605,733,555,080,808,455,177,502,110,398,292,913,378,
740,099,614,007,210,688,789,783,546,870,959,607,981,585,003,573,101,975,078,
383,014,791,797,578,456,086,626,043,418,826,404,978,273,332,501,659,766,450,
870,619,628,229,277,319,384,978,188,404,952,624,167,456,983,339,156,663,866,
369,694,989,693,522,978,765,934,100,104,240,015,949,781,778,838,961,098,482,
764,416,236,628,899,739,024,357,681,922,165,662,358,152,809,576,807,596,969,
066,555,078,258,258,773,502,476,684,735,265,305,408,588,278,775,105,635,757,
009,636,477,127,603,884,784,098,457,835,348,434,637,741,737,783,693,444,422,
754,997,849,162,268,314,261,181,092,707,379,692,368,041,943,647,060,051,333,
431,494,007,631,290,138,329,178,302,011,081,515,159,009,302,656,647,947,474,
265,366,951,156,257,135,247,190,925,788,472,192,759,601,520,495,772,319,191,
976,861,274,685,114,176,327,683,454,350,792,766,247,022,645,075,080,621,395,
989,755,833,723,304,117,771,452,632,400,973,516,017,143,395,523,546,234,073,
071,081,833,414,679,979,229,343,203,233,662,825,633,388,802,252,486,422,963,
038,513,780,069,176,779,438,297,166,136,041,596,976,499,334,785,126,452,155,
526,119,179,763,217,531,680,992,707,056,379,869,473,649,934,082,642,940,121,
709,267,155,005,130,126,422,114,451,163,417,596,685,242,838,777,035,696,686,
005,266,286,488,335,440,011,053,016,613,108,887,274,906,039,427,410,925,025,
968,986,505,195,307,620,313,892,755,276,122,519,760,440,435,916,261,027,014,
592,515,236,499,562,152,260,544,731,872,371,827,733,174,729,140,329,967,370,
393,934,149,806,969,554,627,598,465,834,223,860,112,133,538,057,584,389,111,
664,973,564,447,037,188,573,343,134,022,075,196,941,717,943,241,924,014,693,
539,746,605,627,048,713,547,979,251,598,954,140,802,072,856,155,252,885,478,
551,347,743,816,385,042,589,368,306,157,326,479,820,780,651,656,613,232,418,
042,011,213,628,176,473,541,423,223,217,058,387,336,174,934,061,802,916,722,
820,752,140,428,817,519,646,662,640,003,729,528,788,048,790,146,620,697,126,
374,224,726,307,565,998,653,455,960,159,366,562,688,044,210,040,192,406,963,
554,366,922,280,564,877,294,473,186,499,231,342,070,562,207,108,168,791,576,
196,904,537,247,741,800,276,323,620,150,796,688,744,471,728,846,122,406,397,
707,183,681,078,086,004,662,415,891,686,000,701,132,867,884,203,019,489,614,
165,865,510,571,709,082,991,645,621,187,164,283,779,810,600,299,563,568,683,
639,536,758,023,055,950,127,101,943,190,776,530,942,674,378,133,169,879,118,
038,624,015,957,318,430,938,933,705,964,726,846,453,540,747,378,878,190,320,
428,300,498,094,888,681,080,598,729,352,147,800,605,070,421,569,455,570,980,
834,867,546,353,033,971,053,918,658,189,335,749,126,399,747,536,073,738,771,
652,845,396,881,864,657,507,769,800,450,488,612,049,233,915,440,718,999,005,
707,350,203,290,511,596,766,681,056,372,735,293,718,016,377,488,319,427,624,
039,715,968,597,186,517,357,899,301,765,633,240,581,994,187,821,508,012,961,
861,791,184,449,720,558,512,897,094,625,388,863,403,843,631,242,296,711,517,
410,669,847,584,850,504,322,918,685,080,243,976,137,369,677,716,509,363,570,
902,489,654,315,014,161,779,761,776,028,527,677,892,095,556,122,440,861,423,
085,518,119,723,213,760,084,387,473,966,321,563,912,319,682,318,001,200,048,
582,809,064,142,043,039,472,280,184,100,484,319,237,340,488,265,777,470,532,
533,729,909,365,660,743,003,966,669,413,413,528,160,815,681,672,901,114,539,
394,869,567,925,311,302,825,879,391,317,532,831,368,655,652,377,456,208,995,
372,684,345,664,974,414,193,341,378,835,872,713,400,521,456,284,257,939,969,
335,672,259,900,622,088,701,303,171,232,319,717,273,907,860,150,807,589,437,
281,790,236,999,501,405,437,435,651,775,953,334,317,327,847,328,030,811,614,
317,204,542,435,425,356,482,198,911,667,269,255,225,891,198,281,617,629,326,
409,153,274,384,567,084,097,260,706,411,973,067,657,414,235,337,312,995,610,
742,753,852,233,210,497,432,358,878,339,438,945,204,748,550,933,634,294,322,
518,573,929,727,823,004,909,559,540,970,118,306,067,279,855,691,241,456,165,
221,642,745,516,792,497,622,133,265,708,741,147,647,300,352,425,705,280,201,
455,603,909,994,562,879,762,906,969,897,699,677,952,527,497,653,805,553,836,
462,528,074,223,277,514,361,882,847,925,494,751,481,360,148,786,427,536,497,
414,966,760,539,401,084,633,442,812,754,703,834,806,715,162,038,097,511,652,
771,354,970,952,568,911,963,172,684,917,918,879,394,095,869,009,975,436,968,
454,986,487,990,992,055,465,778,751,801,174,768,993,433,963,073,016,917,906,
096,374,294,813,392,921,346,420,307,305,382,650,645,426,789,341,733,875,905,
417,436,506,036,980,216,844,075,151,305,233,581,991,005,625,628,581,512,236,
603,682,021,453,438,672,966,461,552,025,092,923,470,129,501,549,825,248,561,
851,961,507,030,454,587,662,469,301,678,847,102,730,461,343,511,734,182,215,
368,213,226,084,600,796,140,568,963,867,912,965,436,026,642,311,847,465,640,
633,175,473,837,440,381,712,969,019,544,478,095,544,847,502,382,170,933,316,
628,690,836,717,951,208,760,889,974,228,296,590,745,150,343,231,927,046,298,
608,323,047,271,983,805,463,609,567,708,549,005,588,557,878,626,034,676,411,
310,108,021,303,257,201,481,260,418,815,436,635,140,978,175,853,562,474,290,
539,703,676,226,124,037,102,063,564,773,641,469,839,639,209,893,253,795,156,
352,207,290,908,676,299,029,745,555,178,346,822,466,053,480,650,984,067,490,
707,534,930,848,749,775,210,807,435,077,515,133,168,493,480,958,569,423,237,
983,576,207,087,853,476,699,553,319,502,446,229,183,000,505,578,203,815,749,
734,009,070,691,259,227,580,203,769,729,949,238,470,312,635,096,535,529,750,
143,410,408,185,490,123,179,729,347,766,120,715,558,054,605,332,833,847,336,
612,272,285,824,241,179,678,483,207,447,884,105,516,273,539,327,792,148,443,
631,948,121,007,410,676,754,663,488,233,980,389,473,608,043,387,475,325,117,
677,454,060,482,791,561,961,470,660,917,298,961,072,194,310,291,946,422,988,
706,877,502,746,249,558,899,291,442,036,883,301,403,377,055,774,377,253,336,
713,261,049,005,804,138,616,259,543,163,098,533,370,709,460,887,543,682,814,
847,509,618,316,549,406,533,221,185,838,036,248,505,291,350,788,694,357,228,
044,507,151,559,366,538,112,004,421,795,354,420,158,846,007,835,248,349,430,
968,615,559,430,831,435,709,099,935,464,448,145,497,549,284,927,670,048,826,
741,923,776,164,193,077,525,489,096,273,877,368,211,617,838,314,236,667,706,
147,653,562,645,839,843,207,066,480,503,145,981,038,575,152,098,059,951,195,
137,514,273,618,968,173,237,682,062,507,704,134,317,795,525,499,692,334,020,
622,515,881,864,334,961,184,688,058,009,076,262,950,484,261,970,280,264,030,
078,743,924,343,365,705,834,871,792,314,761,380,675,463,620,552,606,627,616,
973,805,080,655,970,932,525,324,931,470,851,553,117,753,794,868,302,800,176,
323,806,811,600,226,858,134,126,001,899,861,913,400,402,284,098,101,532,454,
008,810,261,225,733,738,442,342,717,020,848,067,410,949,978,371,253,146,800,
787,802,198,845,491,712,891,874,752,063,204,010,497,970,220,700,449,955,266,
518,656,225,633,289,085,089,097,831,652,319,785,652,918,513,235,085,633,007,
865,715,673,970,257,389,878,698,742,885,573,647,910,768,985,370,973,015,256,
501,993,173,384,451,605,413,733,061,895,626,244,331,184,124,753,709,578,949,
683,278,099,842,463,142,778,762,150,675,306,106,988,229,617,196,484,469,711,
431,924,326,237,861,295,505,815,363,163,166,306,043,531,520,058,809,227,662,
075,918,363,374,692,828,079,602,645,479,154,267,294,080,811,251,735,968,926,
726,869,756,315,693,068,022,641,198,380,591,915,168,797,159,155,902,912,589,
019,365,684,344,729,642,662,239,075,659,676,720,302,555,480,364,241,441,956,
026,041,859,086,514,451,333,628,446,108,667,145,058,148,780,788,259,380,369,
862,146,955,617,543,844,820,323,167,136,828,804,269,369,218,542,687,629,819,
456,770,623,979,107,293,724,180,420,433,895,834,941,738,703,098,353,762,294,
276,060,676,233,705,140,458,984,332,587,795,427,713,048,769,512,219,537,400,
806,658,966,208,367,200,829,101,615,080,619,545,426,974,488,353,893,128,126,
259,692,147,444,186,148,212,399,805,681,337,664,041,354,690,404,544,786,006,
378,701,494,738,210,672,105,041,879,918,669,372,251,682,307,317,285,551,175,
957,112,677,786,635,815,348,909,510,743,585,917,116,480,039,760,009,881,505,
429,470,601,257,624,277,288,746,875,680,002,267,221,852,476,943,699,477,388,
965,749,701,803,721,914,039,637,727,612,353,725,308,594,102,654,978,909,264,
830,897,779,771,990,164,729,006,499,836,045,749,619,584,081,888,289,952,729,
188,634,438,326,725,385,577,802,866,020,654,654,673,016,272,699,497,532,881,
623,503,288,761,153,738,760,627,572,088,443,721,281,253,574,490,996,568,556,
480,053,583,603,450,657,889,946,418,544,088,278,479,729,500,118,660,418,599,
392,038,338,170,095,645,404,149,879,791,292,654,685,454,148,294,547,304,752,
598,315,291,183,427,855,220,187,415,072,653,326,033,402,382,038,829,245,794,
085,046,890,002,658,554,671,357,147,112,394,712,040,279,593,842,480,042,982,
940,206,623,923,230,719,411,242,254,760,751,736,120,296,688,874,556,637,845,
543,841,394,874,852,600,521,079,616,823,174,205,549,160,651,529,632,443,362,
186,102,652,258,610,292,495,207,881,569,695,244,423,068,512,386,468,409,817,
536,531,818,654,117,618,908,334,247,356,457,148,877,221,215,331,248,807,393,
354,901,093,601,915,596,390,625,262,294,752,401,816,449,584,583,226,268,833,
721,650,655,964,292,388,727,139,373,678,626,610,523,702,452,732,731,684,040,
037,046,456,466,313,791,540,460,122,563,013,228,799,545,439,036,790,675,812,
040,925,529,762,407,369,307,066,828,016,211,793,838,565,504,759,679,981,020,
589,673,802,727,876,317,671,808,143,118,414,999,815,368,059,099,023,417,221,
367,178,306,879,012,320,023,158,285,654,569,070,477,407,469,473,629,559,001,
939,169,103,136,851,977,787,374,655,237,805,484,455,886,846,835,759,872,923,
533,523,674,998,253,594,060,417,171,545,971,588,881,376,125,235,461,166,083,
358,195,201,208,543,377,436,711,485,870,574,958,295,205,048,936,093,319,947,
801,703,378,629,869,403,364,542,782,977,180,376,580,408,333,520,087,876,461,
354,191,189,470,824,746,366,921,217,532,306,243,655,455,579,434,316,214,033,
716,220,497,917,900,349,441,549,037,242,036,782,471,361,523,813,658,193,281,
323,151,644,928,818,742,106,963,876,166,189,525,698,536,059,694,590,026,600,
123,079,333,751,888,951,507,139,437,277,767,257,554,181,487,286,107,890,446,
141,530,013,272,312,496,148,581,525,451,380,137,564,977,114,690,752,986,563,
313,820,818,060,314,206,531,592,046,370,065,601,947,001,425,630,653,556,323,
616,973,195,693,555,113,729,397,746,650,503,857,188,566,144,207,305,512,335,
291,567,642,184,045,093,813,865,257,045,975,461,076,474,354,158,228,911,306,
043,632,573,650,439,738,630,156,062,201,935,374,629,532,181,677,601,151,894,
804,844,982,515,177,777,200,718,154,777,060,999,092,189,774,851,888,577,092,
263,604,192,817,484,016,141,982,232,010,597,135,068,381,774,942,099,261,556,
159,387,160,350,846,347,078,568,080,823,761,746,887,956,517,857,403,711,786,
235,389,924,423,445,801,972,696,624,953,740,733,744,043,423,318,657,159,773,
058,411,551,875,266,038,610,872,214,876,602,350,342,441,661,387,620,296,056,
506,781,315,092,110,491,006,176,643,436,340,001,225,495,574,624,097,677,929,
581,437,805,698,103,894,725,889,017,710,823,400,858,818,745,869,027,119,284,
711,822,388,077,525,478,511,241,349,259,551,860,462,288,101,241,049,554,304,
176,326,485,194,253,810,869,349,156,494,618,311,854,226,319,634,086,524,773,
807,366,076,721,844,240,802,863,307,367,070,680,737,101,458,461,767,122,547,
435,533,169,566,445,390,086,485,388,040,105,639,165,939,707,127,588,996,767,
633,454,879,299,529,185,836,634,516,941,620,522,987,651,111,161,100,232,103,
476,951,053,786,967,681,864,173,711,446,316,029,564,114,617,951,012,012,392,
186,897,077,990,064,372,387,180,596,833,126,280,795,168,153,827,121,822,910,
671,373,209,628,710,150,839,937,198,678,607,332,056,051,968,463,833,613,894,
235,620,553,755,737,256,512,518,439,468,529,320,413,781,078,896,272,114,799,
351,332,156,859,569,448,537,594,176,596,940,949,288,645,417,632,756,183,669,
571,630,601,030,482,550,500,463,749,843,428,363,197,545,819,587,541,714,325,
630,897,214,685,711,918,827,160,717,726,139,322,398,033,708,151,539,711,320,
467,999,905,546,788,511,357,377,376,260,771,025,095,750,647,913,741,022,426,
339,520,615,150,626,457,897,109,442,146,823,775,638,771,073,632,648,300,585,
250,614,419,237,359,016,857,577,404,736,973,853,793,502,661,043,028,989,869,
747,483,741,952,866,171,799,607,415,892,761,447,976,871,393,808,209,186,421,
567,207,099,328,172,413,471,620,304,933,310,530,517,652,052,713,714,538,169,
256,006,980,678,882,557,223,922,409,694,672,225,383,228,183,907,628,430,739,
688,108,607,681,108,402,595,423,255,470,398,318,902,364,250,199,471,625,917,
236,776,671,171,572,667,069,970,362,164,735,445,687,678,539,136,013,471,752,
276,930,282,893,965,300,592,018,004,926,580,923,828,748,263,942,937,537,791,
076,715,378,285,035,739,137,752,794,060,638,109,109,124,098,049,246,495,425,
521,688,521,330,126,586,760,676,139,908,311,033,372,204,134,941,527,066,612,
281,428,995,792,192,926,366,001,648,835,237,150,549,932,231,584,451,143,549,
259,528,882,786,762,250,422,392,232,147,994,410,796,295,978,394,029,290,363,
354,274,625,867,415,979,911,617,008,889,469,634,479,536,290,909,475,086,116,
146,828,254,691,662,470,066,188,905,033,899,643,924,874,169,196,397,703,568,
792,779,454,296,338,673,569,318,635,893,219,071,002,188,001,813,230,715,589,
631,075,329,039,508,642,658,445,878,571,061,340,090,713,212,826,694,450,967,
121,590,385,832,216,368,057,688,435,285,770,682,268,886,983,924,750,114,833,
859,796,639,317,153,665,631,711,864,081,224,645,874,132,555,547,722,367,417,
174,475,829,603,996,288,073,537,144,042,959,743,189,404,560,960,027,163,982,
382,526,514,495,888,505,662,488,054,897,279,371,397,883,804,761,909,314,974,
612,892,764,106,537,077,826,410,891,236,516,105,680,855,203,269,743,906,366,
822,273,410,331,353,550,869,729,014,876,576,985,243,438,000,400,123,405,106,
092,462,108,830,233,899,550,166,048,315,292,975,906,053,964,877,651,079,802,
468,665,656,191,865,165,691,192,789,844,302,816,137,560,129,354,069,115,069,
589,609,317,669,950,273,015,296,805,358,884,549,672,401,931,950,193,221,331,
272,516,218,017,122,409,118,957,858,812,940,380,215,219,203,430,206,462,807,
588,610,612,919,202,146,682,512,474,761,967,491,278,603,942,245,283,841,523,
074,657,590,780,571,831,480,451,903,217,699,289,130,062,708,271,312,629,402,
253,063,489,947,514,581,446,478,125,141,173,520,034,213,077,214,526,619,725,
610,762,361,606,453,186,972,244,684,724,327,332,377,686,322,902,856,236,378,
265,188,417,749,454,012,053,701,746,344,419,122,482,868,750,468,895,713,376,
084,385,655,720,774,966,764,522,065,587,951,156,477,532,239,267,018,350,876,
248,887,914,968,478,298,809,814,792,737,904,358,369,148,901,884,539,285,120,
061,881,578,444,269,298,060,721,159,098,366,231,230,390,436,735,258,282,551,
459,110,043,802,219,579,372,446,555,475,188,108,140,569,891,230,720,540,224,
149,416,443,163,137,956,807,290,780,317,478,498,642,162,711,335,600,775,448,
896,471,783,769,763,953,376,458,707,979,370,187,140,670,155,302,707,048,408,
893,255,138,539,638,093,176,136,480,816,270,058,054,984,557,220,974,209,443,
987,297,986,407,262,414,359,694,683,102,053,222,821,990,306,682,518,923,089,
730,260,560,495,973,763,779,925,704,098,601,307,891,826,873,428,313,554,642,
630,829,262,058,376,591,209,084,962,020,419,223,870,072,000,405,666,465,901,
869,755,614,335,795,602,150,465,398,613,844,087,341,056,458,458,315,083,480,
424,544,900,855,490,533,739,198,634,535,000,916,684,352,850,533,913,703,020,
215,559,033,162,094,189,608,367,965,267,277,765,979,999,263,033,879,190,988,
468,237,469,332,375,402,021,450,466,799,096,865,726,527,719,059,248,398,459,
373,264,750,010,548,860,666,368,391,965,408,456,768,281,782,571,742,114,857,
313,101,602,429,707,495,464,207,416,288,229,639,923,935,802,055,060,049,678,
800,284,681,888,779,364,444,929,544,773,331,765,596,586,847,987,591,896,496,
389,644,181,037,219,460,005,296,842,341,695,073,208,369,095,656,292,041,123,
691,568,602,750,486,713,517,817,898,787,594,366,999,748,639,339,420,973,880,
387,110,778,471,943,899,235,709,606,922,003,863,606,183,441,329,249,206,161,
114,771,561,086,189,357,538,224,125,017,745,067,558,875,489,434,677,887,882,
399,823,038,791,705,522,027,434,123,130,333,918,235,782,265,597,171,018,933,
406,595,535,590,016,234,325,962,888,184,944,972,913,775,145,895,484,623,606,
824,458,724,833,449,639,172,435,646,352,799,399,172,762,206,487,265,887,032,
757,711,524,000,638,632,220,893,248,062,359,672,778,873,312,989,855,438,909,
840,951,614,729,118,813,041,438,028,501,579,816,333,866,829,824,437,563,952,
675,485,368,308,700,181,773,755,599,342,219,379,253,617,852,706,666,429,211,
130,853,502,330,124,472,578,963,816,897,819,917,414,486,907,750,176,734,935,
296,604,044,180,052,368,001,095,295,662,368,048,494,254,909,407,095,129,107,
801,498,664,580,053,098,948,405,038,654,865,594,321,911,202,433,603,925,770,
617,055,004,048,060,129,687,584,931,228,260,913,726,853,089,816,896,573,220,
842,794,545,416,666,747,784,992,074,132,773,534,211,276,768,282,960,612,401,
498,023,631,335,862,655,689,842,588,993,190,067,293,469,140,210,218,903,009,
897,223,548,250,924,732,380,250,814,266,372,793,744,957,950,131,554,305,466,
803,731,841,171,468,324,109,845,038,345,636,067,731,483,206,384,075,848,407,
181,219,528,851,072,654,016,928,274,222,787,753,492,782,774,613,582,413,368,
663,767,472,431,167,654,305,061,082,609,985,006,860,279,537,687,828,408,463,
044,525,224,102,258,659,131,752,909,332,610,025,494,238,553,122,516,163,225,
815,386,207,540,811,519,201,876,434,155,246,777,352,556,154,690,111,623,943,
734,848,476,207,978,950,150,076,694,937,255,705,939,893,377,303,001,055,096,
650,170,956,193,415,564,302,699,092,443,662,052,534,196,910,012,015,222,157,
374,551,831,382,150,293,074,642,882,599,526,581,330,912,799,912,486,959,798,
313,127,321,528,340,527,093,269,861,928,617,711,639,149,606,156,441,940,866,
245,242,934,545,883,429,140,945,375,201,013,063,911,941,813,809,170,939,207,
078,167,747,956,772,335,515,094,333,455,301,120,668,655,842,937,339,030,374,
256,820,037,350,093,770,959,482,407,347,254,838,263,951,857,133,137,527,708,
568,265,155,526,307,634,480,923,439,997,654,613,640,393,712,809,051,905,439,
697,132,601,717,547,430,997,172,845,747,643,842,695,714,419,504,780,338,018,
961,491,875,413,344,578,297,111,678,400,195,623,738,781,775,314,826,705,568,
763,191,210,078,569,198,969,866,808,010,960,465,004,331,555,210,802,848,200,
365,202,158,227,643,168,453,229,847,123,261,628,407,660,509,615,394,226,002,
004,938,662,002,100,657,303,305,687,567,905,572,544,476,196,402,355,498,466,
577,433,562,539,221,428,268,182,714,464,027,933,494,576,737,281,175,553,352,
129,369,787,917,410,825,535,977,275,728,579,517,716,435,205,862,903,173,659,
651,670,399,998,326,038,488,959,180,819,376,196,449,983,607,849,853,933,273,
531,552,061,809,358,225,047,646,907,774,686,723,178,538,898,609,107,393,456,
441,149,175,680,423,947,274,008,395,854,522,768,135,076,496,050,430,604,392,
625,511,134,593,110,669,753,715,358,909,774,810,182,003,003,078,208,607,828,
098,991,964,221,249,740,432,226,307,450,360,197,034,703,379,430,544,428,949,
822,185,169,647,278,784,185,473,465,336,442,304,357,667,685,994,799,498,194,
209,112,823,365,076,341,468,071,480,626,534,481,256,483,457,674,310,321,886,
104,038,985,013,947,965,563,725,609,725,253,937,785,257,788,773,874,802,067,
692,429,386,289,581,802,117,361,808,393,848,607,877,742,691,014,554,524,625,
916,782,240,487,830,395,506,932,082,828,093,170,183,612,346,437,945,759,866,
049,738,414,224,775,544,210,075,772,973,791,327,411,926,911,330,343,799,076,
176,955,527,419,621,241,343,423,932,217,076,985,599,899,420,914,505,478,150,
945,627,695,710,507,752,225,648,405,292,366,680,424,823,309,429,469,560,406,
243,036,343,322,770,265,640,989,278,881,827,330,726,310,998,289,598,473,559,
289,590,910,512,121,611,405,322,854,874,223,389,030,674,705,789,035,471,534,
633,453,338,810,046,203,938,912,813,062,402,428,284,886,835,453,875,597,092,
319,762,660,524,265,048,115,837,242,309,550,210,249,389,281,273,877,008,071,
368,378,811,607,198,814,809,963,780,746,435,092,150,645,985,927,708,560,044,
206,661,718,788,230,140,810,080,527,375,324,599,699,341,936,186,548,835,633,
280,023,489,641,884,852,464,434,623,816,841,724,480,099,228,061,780,812,453,
988,761,790,833,743,190,117,565,420,529,118,707,170,718,164,237,469,596,053,
238,523,369,507,209,583,167,826,058,953,419,916,699,698,614,713,360,532,279,
190,785,869,175,563,878,082,533,048,579,857,552,231,929,268,362,526,344,320,
632,209,089,785,319,291,156,952,371,416,402,231,259,977,155,573,556,487,010,
662,966,470,555,447,927,195,366,987,901,096,143,124,780,285,816,503,326,656,
913,587,785,820,530,265,145,141,558,232,299,272,368,485,968,367,215,283,183,
819,691,170,588,707,080,090,243,945,677,111,843,854,877,088,334,106,550,606,
660,915,848,308,511,289,362,008,024,224,444,975,606,659,051,829,092,773,193,
535,244,783,977,520,426,069,679,234,482,344,230,926,481,980,832,699,388,246,
562,862,854,817,705,381,166,162,395,874,132,701,203,002,296,595,066,260,662,
121,156,713,770,131,163,350,037,223,637,001,660,422,605,164,422,193,959,197,
366,743,196,469,558,903,312,424,633,414,800,024,544,185,685,375,068,661,814,
682,851,248,037,311,765,640,608,502,924,729,213,781,959,086,366,102,853,569,
980,749,928,373,886,961,096,473,829,632,100,547,160,031,315,941,405,240,315,
660,717,249,991,443,458,914,563,206,825,692,856,971,850,016,959,317,162,868,
190,835,884,643,773,490,998,391,625,020,553,432,930,935,643,143,701,785,851,
123,992,255,507,466,147,071,341,111,240,605,160,231,517,768,867,235,977,337,
532,331,830,841,226,042,262,907,710,450,596,904,911,392,489,526,235,913,958,
924,645,880,873,054,446,466,491,068,263,504,541,375,258,376,740,813,102,107,
646,675,670,472,032,534,784,651,721,009,774,487,865,699,414,550,293,636,901,
607,499,971,141,827,981,967,657,965,228,339,945,128,999,650,655,522,177,250,
474,147,213,571,208,837,558,294,515,207,995,237,817,627,034,763,327,154,961,
317,745,594,105,218,179,811,822,007,132,762,999,196,735,284,213,374,108,480,
737,368,836,343,203,619,948,847,226,852,460,334,075,474,331,413,209,218,290,
330,580,919,589,517,856,295,358,673,054,140,406,063,444,411,875,045,649,585,
987,401,310,059,395,083,247,105,316,393,406,992,154,430,504,262,618,089,635,
522,957,734,564,607,109,125,108,354,027,723,539,666,815,727,453,995,707,768,
776,857,780,948,895,751,349,003,233,208,863,873,710,912,702,531,815,620,568,
872,273,716,176,574,808,373,815,294,263,838,137,278,407,686,166,711,541,156,
266,241,319,747,576,356,075,741,237,313,960,434,841,280,305,069,542,964,401,
120,101,037,985,382,872,081,797,566,211,507,551,873,475,675,080,396,470,629,
617,805,167,624,275,359,026,637,496,311,023,333,505,182,086,195,203,716,716,
425,100,947,407,181,308,025,283,914,271,284,454,003,741,444,582,322,763,843,
733,547,590,960,554,912,072,296,801,205,711,268,213,132,975,353,359,483,429,
431,951,811,745,867,603,634,652,984,109,306,151,928,484,474,670,935,017,431,
314,485,526,311,612,624,759,946,052,137,175,474,126,931,923,298,672,323,996,
533,297,970,876,124,896,121,558,094,090,031,957,542,251,874,249,572,139,198,
267,999,823,093,001,997,262,211,296,329,021,152,027,473,263,483,704,814,309,
882,093,893,688,180,015,118,263,751,312,676,356,314,362,362,930,219,215,057,
757,066,218,889,324,707,048,151,004,820,992,951,164,697,123,846,540,671,084,
455,591,477,684,101,415,880,213,730,422,653,780,133,906,033,932,620,986,921,
544,847,551,520,835,814,398,995,952,847,371,045,951,040,733,420,281,763,466,
037,142,339,478,329,537,562,698,070,062,943,081,363,806,898,812,168,939,708,
895,264,422,587,209,052,089,587,852,879,879,563,338,763,746,418,576,188,302,
458,460,692,270,105,687,593,563,531,759,392,240,000,767,215,623,088,828,961,
987,841,377,038,721,023,574,437,866,267,118,539,479,229,912,596,411,127,912,
126,318,699,955,736,723,031,569,118,716,905,228,472,164,773,228,000,998,194,
934,396,801,038,717,044,972,102,983,608,484,339,556,010,909,809,706,125,702,
201,103,274,358,569,345,985,245,854,363,482,240,624,025,422,955,709,327,044,
634,221,985,654,702,610,747,882,724,794,137,704,427,350,252,619,814,215,537,
227,620,746,877,380,504,846,039,915,959,285,625,162,727,478,733,890,793,880,
537,982,245,691,160,043,901,746,526,379,863,019,030,825,803,203,957,632,014,
675,049,957,180,074,877,748,561,434,747,612,757,607,572,425,151,351,548,308,
795,694,016,035,003,558,986,851,052,919,328,411,307,140,655,880,357,379,851,
853,956,204,378,665,142,041,000,759,576,399,698,195,333,985,361,320,035,484,
214,017,694,261,642,333,468,994,278,908,435,051,650,637,494,308,886,179,852,
941,443,647,664,045,256,527,101,933,562,936,834,929,030,317,823,016,858,524,
138,894,547,132,075,668,156,667,101,206,556,908,160,940,335,179,148,225,372,
450,368,847,766,132,791,472,539,087,226,140,239,197,917,762,472,760,167,022,
794,207,632,090,453,335,917,945,831,625,028,384,200,444,216,259,343,684,001,
418,348,428,073,140,817,438,843,280,709,701,707,185,263,185,830,028,503,526,
419,466,531,359,862,699,022,928,701,962,943,374,047,896,395,091,099,357,547,
429,435,869,507,518,327,025,197,092,736,774,286,395,918,979,325,166,771,271,
554,800,512,083,940,885,179,874,706,142,232,175,182,127,522,717,127,110,404,
049,635,948,609,601,513,768,491,830,548,354,362,495,781,680,896,242,504,582,
677,014,563,639,291,413,947,817,556,191,955,355,606,393,018,651,723,055,077,
269,749,646,169,853,643,885,314,503,683,054,877,632,196,734,352,576,135,429,
047,307,149,397,627,845,009,839,539,121,104,198,686,763,172,429,111,550,466,
083,314,339,750,217,020,942,036,507,619,158,419,586,650,707,108,796,534,800,
056,833,399,498,320,672,943,755,608,829,162,565,177,749,336,923,408,303,878,
555,473,043,036,345,049,249,934,800,248,967,010,273,904,689,152,882,997,672,
015,223,431,148,649,879,561,316,271,273,713,145,608,921,411,573,626,586,797,
486,824,427,050,793,197,230,730,441,938,385,398,264,245,834,621,290,180,561,
435,862,239,387,949,875,980,192,722,487,936,789,530,903,120,446,217,023,127,
600,800,489,467,852,399,105,631,665,790,914,521,433,480,856,828,740,640,636,
852,052,440,486,331,108,321,028,823,690,384,875,619,352,840,364,654,836,714,
076,734,774,370,832,966,385,786,962,946,749,816,169,473,387,242,718,348,519,
258,685,677,176,896,706,538,713,085,209,916,231,195,429,114,128,143,269,548,
341,037,351,483,088,775,967,684,819,221,296,544,759,750,604,757,039,606,458,
631,620,945,622,093,591,749,071,618,417,456,894,502,571,947,069,777,373,432,
683,989,871,928,858,324,283,053,657,678,094,386,916,566,458,819,389,011,664,
394,897,079,327,055,112,291,251,281,680,562,737,025,429,915,961,440,588,333,
536,563,670,498,075,184,372,666,524,079,505,998,901,214,682,594,900,805,774,
158,964,063,929,493,542,251,603,317,326,829,447,906,378,119,106,048,694,888,
231,900,931,267,617,844,150,782,595,419,926,829,267,745,134,739,736,879,040,
365,742,413,630,227,663,522,068,476,023,372,465,569,819,461,711,799,519,670,
513,211,731,061,229,341,475,340,647,499,635,671,019,702,570,264,609,461,046,
598,068,482,355,754,671,911,431,047,738,387,784,043,376,073,236,203,355,006,
228,174,204,108,339,051,177,991,469,140,020,807,873,377,774,092,496,824,477,
776,292,118,515,545,201,727,761,114,656,558,588,185,104,398,388,243,501,735,
328,371,725,163,186,923,063,967,455,557,120,809,945,102,084,636,941,453,713,
661,770,654,672,855,039,029,549,442,552,149,816,414,951,306,239,026,869,380,
072,217,722,367,285,223,933,343,851,361,872,086,979,533,457,643,741,211,578,
656,716,658,201,374,991,009,809,922,994,487,959,497,879,937,960,112,139,942,
710,637,642,481,526,406,637,281,371,028,642,365,008,752,024,657,529,883,298,
849,773,218,893,933,978,120,153,503,381,272,708,792,614,715,088,794,346,785,
240,674,296,369,765,628,809,667,460,567,094,848,688,915,730,076,407,327,557,
637,247,650,760,544,224,002,991,678,438,322,571,978,793,359,953,443,083,309,
463,569,752,322,948,529,856,299,733,248,083,143,921,828,060,157,936,290,864,
340,272,814,587,365,643,469,874,228,501,205,133,643,717,071,283,285,590,411,
992,516,938,006,275,089,709,196,246,898,364,715,112,611,620,595,467,653,879,
348,780,792,148,993,151,839,678,542,717,126,831,942,795,114,755,850,770,269,
717,716,075,318,966,767,246,228,756,254,496,620,807,641,235,824,231,012,932,
717,733,186,127,454,348,047,637,064,812,050,614,069,882,874,161,880,816,509,
678,736,724,787,855,504,166,351,491,818,929,969,372,274,810,254,164,417,547,
725,855,261,224,471,405,023,027,417,465,107,808,788,059,405,334,181,062,815,
117,371,219,146,805,652,494,084,398,706,999,453,854,914,436,570,894,464,984,
959,886,014,732,989,072,388,093,770,102,020,737,949,677,289,489,892,349,675,
106,477,234,173,910,121,371,964,410,125,295,110,788,329,289,418,624,032,491,
825,210,114,403,468,826,102,064,065,017,462,082,478,840,175,594,597,255,792,
209,383,652,105,212,941,502,932,273,356,413,535,822,412,576,299,553,856,548,
691,218,466,136,320,069,497,984,623,207,075,622,477,997,978,598,040,661,568,
028,114,680,076,142,753,955,717,922,701,373,808,888,586,295,170,975,501,646,
572,041,097,363,078,609,740,892,727,321,982,316,268,038,146,037,346,410,105,
508,914,083,757,464,604,553,550,450,658,795,242,993,183,060,095,224,898,393,
107,869,365,225,579,923,290,842,161,245,886,375,667,773,738,736,118,384,656,
814,967,630,297,438,803,690,329,175,423,649,257,775,783,368,789,235,446,504,
013,455,432,544,856,431,160,163,033,150,906,916,917,945,544,088,071,321,703,
562,325,556,596,378,384,235,294,309,510,707,913,109,001,948,383,043,953,574,
005,349,019,773,278,685,256,962,058,521,409,847,928,712,713,624,754,844,816,
948,357,930,990,141,477,547,413,462,507,802,573,757,080,252,140,922,587,044,
173,708,611,828,188,599,957,243,159,108,894,239,530,402,298,294,469,292,165,
147,604,837,735,353,329,156,925,110,194,601,427,707,284,454,262,997,214,480,
186,823,581,447,009,771,468,594,660,051,033,919,119,777,408,326,784,709,484,
160,388,562,871,912,716,805,937,600,708,096,294,545,932,916,594,477,136,728,
024,439,580,990,197,732,974,604,893,573,331,930,894,268,629,642,237,303,114,
549,664,235,021,854,718,752,749,013,002,505,145,368,936,057,424,306,654,933,
179,583,156,924,859,361,580,528,907,174,716,311,872,932,817,979,857,985,762,
075,032,195,728,291,769,420,491,341,757,406,075,961,096,129,270,645,474,764,
830,380,992,662,425,528,433,503,657,095,534,759,397,171,825,545,800,624,111,
226,588,090,093,552,522,952,548,406,883,650,600,447,464,476,270,324,461,870,
979,973,351,742,606,785,927,819,403,351,186,288,930,974,474,610,547,173,635,
840,685,051,940,045,052,001,224,923,857,137,712,691,032,331,929,528,304,966,
118,173,907,052,799,960,307,015,188,613,604,501,093,757,491,757,268,311,649,
390,556,847,497,231,425,803,749,263,578,413,115,394,710,189,192,510,616,526,
413,927,384,585,790,091,019,092,828,314,205,450,245,575,662,943,306,441,379,
782,543,609,301,797,316,715,372,185,610,175,861,730,348,766,882,574,357,029,
614,501,883,921,290,097,894,490,553,752,070,600,555,046,930,547,126,356,431,
739,507,586,151,107,126,647,869,313,021,705,849,086,735,643,631,573,267,920,
177,882,393,211,591,769,085,483,306,921,998,628,020,148,028,429,504,315,491,
532,563,545,137,688,551,318,799,819,659,678,019,842,004,936,611,064,526,182,
761,187,175,034,587,143,770,841,877,775,820,051,217,214,074,728,241,126,993,
944,929,671,673,047,666,763,841,888,067,602,651,838,777,764,400,688,256,277,
542,161,077,839,912,373,366,366,092,583,940,076,158,596,355,876,631,017,871,
302,436,535,186,490,316,133,584,278,984,312,288,951,121,744,321,107,097,502,
571,613,380,933,625,877,422,583,585,906,732,197,931,241,455,775,970,361,151,
615,076,873,581,934,149,834,004,680,738,778,662,452,762,455,987,968,290,480,
788,726,695,972,504,291,631,849,385,441,602,650,878,623,444,409,732,063,714,
833,949,265,068,058,045,373,051,695,994,384,267,691,358,662,459,037,062,641,
610,173,467,808,718,759,013,102,363,373,729,896,781,747,109,337,625,630,856,
385,549,203,878,760,456,258,518,686,317,330,183,182,161,333,203,294,773,976,
650,261,164,573,611,559,594,650,230,831,414,801,912,591,890,141,561,919,923,
064,926,765,016,227,920,236,875,408,803,906,351,197,794,798,892,782,047,376,
244,066,499,223,332,056,165,740,981,396,877,533,822,011,725,732,748,294,211,
645,300,331,162,727,279,259,575,735,525,188,894,785,341,854,579,286,467,069,
259,071,905,762,840,034,524,363,741,791,148,720,350,406,140,036,678,139,402,
565,677,248,056,215,913,669,881,527,161,951,515,920,412,666,089,879,158,169,
253,566,577,640,512,941,322,571,059,327,884,598,537,711,340,227,839,571,295,
216,145,402,504,518,550,058,017,848,268,567,815,925,090,179,364,424,859,094,
154,523,640,971,655,191,626,285,189,648,599,775,695,103,111,920,569,871,419,
363,711,754,565,847,532,219,605,840,490,161,165,709,270,607,152,595,002,928,
239,027,403,863,530,646,944,106,296,294,926,848,503,494,217,930,077,947,130,
405,595,674,913,361,445,655,141,460,244,113,106,930,176,316,870,921,141,043,
642,167,979,438,677,594,912,577,291,394,737,638,105,104,573,433,381,075,917,
892,460,789,932,541,763,502,830,582,841,995,299,665,758,084,399,972,816,972,
269,344,479,705,113,265,021,601,899,407,640,704,986,931,337,444,303,555,372,
767,804,025,786,003,583,514,648,801,806,450,165,851,945,365,974,467,851,134,
668,876,450,033,772,368,609,806,758,021,694,744,635,690,651,601,723,169,384,
662,180,425,986,761,900,131,400,600,911,163,865,527,281,651,774,719,064,009,
760,043,708,046,143,465,041,882,191,515,087,317,800,346,858,808,089,025,592,
232,447,778,931,925,865,305,183,718,586,737,686,191,499,530,544,009,349,984,
296,841,162,146,673,225,039,617,794,503,902,815,987,411,111,894,404,188,891,
997,219,233,787,717,763,435,963,677,627,827,166,110,019,572,394,422,314,525,
213,206,785,860,934,986,436,197,099,872,504,822,361,034,440,699,244,477,240,
812,049,527,446,429,478,667,629,580,042,035,608,244,816,531,540,306,054,484,
211,382,886,138,333,132,931,828,506,173,046,505,753,155,860,315,241,662,243,
249,161,323,667,358,027,260,099,536,053,683,322,457,851,609,478,052,312,482,
779,461,548,023,999,262,701,784,510,114,123,788,837,371,814,992,897,994,469,
001,650,993,598,775,501,385,865,807,995,261,621,162,333,522,417,106,558,127,
114,584,083,794,154,931,636,314,090,813,783,023,729,367,854,712,188,656,893,
471,401,321,053,391,525,469,531,816,921,928,984,249,938,337,026,655,261,582,
571,074,389,973,134,281,162,456,935,181,424,473,343,493,244,792,219,667,410,
207,288,003,716,422,174,980,490,823,015,950,804,337,835,113,161,420,743,828,
477,470,993,799,712,646,117,623,363,159,097,276,282,972,027,826,596,790,854,
500,581,854,427,862,156,380,555,392,431,767,091,801,793,603,867,492,356,873,
333,113,027,879,933,985,937,970,579,480,560,734,394,577,672,416,400,663,403,
360,062,342,860,955,275,645,646,941,011,377,741,609,671,845,461,712,480,130,
933,452,626,378,637,140,343,305,919,601,302,062,946,607,432,150,277,323,783,
323,467,141,645,861,318,673,126,082,248,474,311,826,754,839,519,936,092,922,
991,621,771,999,519,895,249,822,538,020,755,154,778,271,267,649,650,500,049,
745,542,748,823,801,550,947,931,588,213,704,302,453,698,846,743,534,637,631,
462,507,883,811,021,583,705,186,727,679,749,082,529,714,930,569,281,741,405,
176,390,973,708,645,395,416,295,429,822,633,618,871,756,183,515,062,424,778,
981,671,680,681,471,790,568,721,344,870,672,133,183,389,772,547,548,459,959,
538,172,394,080,481,193,777,551,197,150,901,460,825,362,834,040,829,013,074,
570,128,224,450,249,537,035,190,765,697,339,368,477,991,782,502,971,017,538,
061,910,385,583,498,068,804,213,554,901,807,783,644,979,800,593,798,035,403,
190,692,906,800,231,242,053,903,250,036,473,798,664,478,868,095,109,424,232,
261,820,082,709,834,990,541,671,275,440,807,889,537,007,827,511,178,343,380,
626,398,488,505,406,727,638,435,789,364,819,108,359,404,834,548,256,539,439,
449,282,923,099,065,743,289,989,640,973,056,172,018,044,726,308,769,793,311,
497,956,179,824,853,462,673,533,046,782,811,357,147,306,546,928,791,746,491,
932,786,642,635,657,795,819,127,465,949,613,411,658,391,012,255,568,400,479,
544,730,572,958,915,241,902,008,545,919,706,622,318,992,731,977,506,764,873,
773,282,702,387,784,884,308,221,109,131,627,191,841,478,706,800,517,688,432,
203,846,977,597,711,290,661,313,531,693,547,651,602,184,587,705,862,798,574,
258,520,171,898,275,759,784,982,729,287,329,135,999,528,537,000,108,007,029,
551,763,696,459,290,207,488,491,302,624,817,101,780,446,348,060,951,941,949,
991,258,745,665,425,119,268,829,696,475,143,306,978,666,145,938,343,188,819,
516,116,367,987,968,206,400,322,216,098,396,852,581,211,481,105,745,580,908,
166,528,801,432,113,793,534,471,044,030,487,095,163,722,433,734,877,508,400,
133,838,922,881,544,379,449,192,981,252,714,663,740,287,768,611,467,995,496,
998,180,435,256,200,417,500,092,160,559,149,341,314,536,632,117,800,568,155,
714,429,733,021,961,038,574,748,501,840,517,408,826,324,604,374,219,972,498,
289,249,568,519,102,758,868,381,682,150,119,819,706,385,852,835,416,330,430,
818,083,136,506,620,983,444,560,193,431,216,835,216,090,731,812,335,904,896,
945,380,981,477,594,704,031,021,849,776,907,438,004,054,982,999,032,657,455,
372,784,279,991,467,064,787,968,137,860,110,377,474,922,642,863,095,966,591,
572,113,143,866,870,278,063,449,617,565,193,196,989,554,856,639,570,429,547,
375,596,674,515,163,882,429,986,003,808,249,311,101,956,587,635,855,998,089,
119,143,709,950,760,719,155,657,022,982,980,298,573,062,559,745,632,926,215,
148,206,948,075,458,961,412,446,611,665,840,703,145,836,588,454,177,258,257,
923,502,518,060,542,400,268,221,980,671,656,487,983,676,838,669,247,544,763,
547,489,074,345,434,592,129,278,684,671,207,547,204,259,360,722,687,094,222,
464,312,474,847,893,846,256,093,685,299,623,524,826,972,272,264,159,733,079,
431,337,654,775,529,120,995,540,128,664,171,847,740,970,378,379,788,506,874,
848,656,051,448,263,418,852,820,222,219,254,860,881,102,680,955,913,598,614,
273,137,201,164,980,214,942,632,254,117,447,820,630,657,133,020,441,955,217,
164,541,974,360,984,007,557,611,125,047,658,797,735,720,526,472,631,667,367,
696,101,990,429,023,034,231,864,743,482,959,942,440,866,127,970,203,195,546,
632,244,234,476,769,662,028,509,623,327,167,124,447,704,276,556,444,482,719,
703,048,230,485,835,285,777,161,734,012,092,673,943,707,340,466,530,555,570,
812,163,662,657,983,652,191,654,074,915,998,442,226,051,787,455,013,026,931,
481,881,752,293,279,306,891,440,009,795,081,623,918,229,303,126,116,287,483,
960,972,606,559,754,010,517,614,437,590,748,879,680,704,024,835,626,454,148,
248,886,810,170,922,520,238,486,939,670,558,947,862,960,273,396,744,724,008,
896,543,385,467,774,249,571,677,327,843,736,021,534,683,744,075,232,969,601,
472,042,408,317,880,627,970,648,531,117,645,962,677,954,883,503,553,145,804,
788,787,935,450,592,309,663,470,892,620,879,519,532,051,335,523,565,353,186,
784,428,199,793,502,426,685,112,500,462,375,045,768,844,164,253,323,099,770,
441,622,748,116,813,373,991,350,900,254,792,010,962,892,974,119,049,502,787,
895,200,106,437,658,589,057,259,894,607,974,785,036,914,492,800,118,189,691,
525,250,022,429,985,177,107,280,560,894,031,359,851,397,325,709,271,578,926,
477,124,735,943,283,389,929,534,159,326,044,284,691,169,156,669,314,801,478,
725,045,362,442,556,895,481,045,001,029,605,034,041,743,145,582,935,078,316,
536,330,450,530,867,075,519,937,359,349,847,631,237,168,075,594,060,874,746,
680,022,033,060,825,626,864,211,069,294,387,943,526,993,292,198,437,385,556,
905,118,391,391,685,700,225,092,088,964,672,389,186,998,653,745,807,893,304,
791,615,675,850,370,659,812,491,072,664,840,331,122,792,788,669,833,767,592,
683,550,064,788,429,706,159,790,518,465,825,869,625,753,787,469,652,884,079,
465,915,241,226,609,693,313,991,083,487,210,371,597,444,519,188,287,586,492,
399,123,865,645,990,803,922,996,236,421,319,444,459,978,437,112,978,704,248,
159,839,494,540,228,306,451,322,536,922,102,446,300,098,100,363,981,563,981,
863,672,116,374,247,001,362,954,229,769,377,212,466,069,423,458,495,724,631,
385,726,212,663,635,065,603,887,839,512,365,282,329,378,399,278,761,429,185,
022,687,167,332,535,764,768,803,142,265,377,291,399,347,607,368,066,667,303,
931,979,740,062,935,236,455,513,496,767,200,083,147,858,782,221,927,031,368,
585,258,866,044,157,609,210,893,969,901,961,284,125,718,224,589,126,895,991,
302,596,831,728,100,204,622,592,684,326,705,726,440,035,952,935,374,288,166,
889,786,525,447,102,474,168,070,749,160,621,810,109,450,708,575,566,362,966,
268,553,889,735,994,297,047,136,085,814,986,812,526,256,847,941,104,990,739,
362,760,051,370,725,192,305,039,553,431,608,857,513,728,010,413,378,873,919,
743,900,235,992,525,718,876,678,547,386,156,982,867,762,013,076,835,721,146,
727,176,169,731,830,477,876,028,635,524,166,422,029,079,331,027,847,039,089,
819,339,153,525,459,758,295,036,209,241,135,197,504,138,400,252,705,330,872,
245,585,702,769,200,187,477,442,097,044,968,585,349,557,888,850,168,499,489,
413,821,636,359,928,096,603,970,864,950,432,442,702,074,215,341,739,164,863,
464,190,086,983,881,185,830,174,014,321,304,079,510,456,076,876,775,365,566,
926,277,219,087,203,789,273,080,260,604,684,613,121,023,246,829,210,537,108,
413,543,377,095,917,331,238,444,993,084,662,467,022,511,193,397,296,437,706,
574,362,251,949,877,797,054,795,665,750,368,319,046,799,541,588,081,195,986,
037,353,206,443,674,872,814,948,535,204,696,862,785,337,529,282,709,126,005,
789,830,529,473,903,397,136,956,891,640,163,592,904,189,045,393,679,493,415,
827,339,357,457,220,362,344,807,551,358,262,776,436,264,712,879,850,592,954,
370,894,689,222,441,468,251,452,204,765,186,743,347,512,719,524,910,216,021,
769,948,368,604,216,351,292,883,843,780,956,844,452,036,884,373,719,316,284,
889,928,715,019,687,344,526,265,262,113,115,877,612,133,253,152,991,758,392,
304,560,077,612,383,353,356,021,563,497,653,268,183,254,530,540,169,452,791,
260,257,569,234,033,368,089,039,119,180,170,798,219,945,551,895,859,270,601,
435,414,637,498,628,537,772,910,902,541,664,136,914,113,727,631,081,804,476,
397,398,365,815,690,387,857,536,200,419,204,641,926,415,108,963,121,204,206,
305,247,783,961,430,362,751,729,290,334,878,426,301,220,533,835,709,841,715,
289,389,073,053,919,347,633,735,969,273,250,186,223,267,005,825,824,135,434,
561,934,971,540,318,314,949,679,195,527,766,997,036,670,556,167,113,818,627,
172,822,283,805,452,184,432,844,341,505,613,085,908,497,779,534,052,550,634,
817,197,932,865,754,438,938,759,547,340,949,674,330,142,538,821,833,796,394,
088,783,950,546,702,180,819,394,119,616,113,556,593,414,679,293,948,167,444,
472,608,612,179,921,288,695,799,722,407,738,517,702,783,195,267,929,456,280,
312,262,396,605,076,769,260,888,366,008,373,206,355,263,461,039,460,059,078,
790,293,510,798,686,411,769,359,856,831,759,146,811,532,941,077,854,320,290,
658,581,611,845,452,055,026,130,507,689,934,835,672,509,804,239,002,563,795,
342,503,399,550,836,357,828,634,875,610,985,587,412,358,159,854,267,531,356,
135,094,857,474,120,223,726,277,767,318,499,791,822,741,948,139,950,171,205,
933,594,858,838,798,966,461,761,408,394,629,498,180,740,469,188,661,775,307,
852,394,695,413,894,904,889,444,777,409,111,556,369,502,292,003,604,062,497,
941,427,408,263,124,067,439,102,861,542,588,782,211,150,172,703,967,078,047,
456,146,623,648,408,571,404,281,931,046,826,038,150,451,831,238,607,748,620,
092,805,673,157,228,118,927,064,023,711,978,449,601,827,767,378,023,203,468,
648,748,327,279,855,494,288,823,731,168,091,319,564,120,693,266,229,464,696,
234,577,374,591,184,368,668,572,642,691,862,259,578,290,225,594,319,429,967,
782,474,206,500,969,008,152,246,938,904,414,406,252,090,646,923,405,661,112,
562,930,858,552,557,780,002,705,918,006,451,764,399,493,337,394,927,125,395,
275,584,018,671,916,665,005,282,374,695,069,675,420,357,208,519,271,061,516,
202,224,080,169,095,953,249,948,141,921,129,525,362,152,139,969,146,494,831,
343,440,353,975,881,381,188,283,437,940,553,003,985,361,210,511,200,586,727,
053,170,485,940,675,357,070,114,426,647,219,698,517,334,735,789,376,018,239,
155,125,153,074,985,465,741,858,312,680,782,402,327,180,403,759,693,093,991,
382,157,010,530,962,776,799,816,021,221,641,254,630,679,565,696,398,102,624,
589,413,347,440,157,282,398,746,757,562,074,859,243,484,993,838,570,236,015,
250,601,912,220,982,151,115,080,762,766,941,202,359,786,849,884,464,086,181,
247,722,685,953,908,121,129,557,762,040,921,993,804,894,862,524,117,222,765,
992,298,676,432,706,837,546,146,101,125,755,012,633,854,132,071,089,675,862,
098,688,345,494,379,506,986,322,477,248,737,090,910,215,354,926,002,143,530,
306,586,092,184,194,469,668,030,082,730,379,331,200,978,968,558,098,809,777,
760,508,444,419,276,339,296,656,820,455,269,615,430,066,782,612,324,510,881,
377,960,961,373,848,511,539,702,917,172,567,529,221,571,547,180,120,502,218,
590,504,936,766,816,532,511,358,415,986,488,107,143,509,570,137,924,993,956,
245,458,054,540,169,246,112,322,629,841,195,045,712,682,843,796,549,372,443,
464,116,676,353,894,734,653,793,296,125,613,527,662,106,232,341,298,545,283,
645,744,983,393,709,485,584,929,845,852,711,434,753,460,596,787,667,117,135,
430,755,869,858,252,325,025,178,849,078,665,991,873,959,764,491,077,176,812,
098,592,580,366,690,015,368,971,470,072,974,279,928,096,248,228,887,854,748,
672,499,766,137,512,708,277,951,562,223,249,463,167,588,800,421,244,299,174,
181,308,539,519,896,487,295,903,212,511,495,377,578,355,408,590,356,557,557,
735,588,340,322,484,661,106,619,245,202,160,652,804,643,744,132,542,227,519,
472,133,921,268,144,986,341,925,849,444,106,336,839,778,273,896,345,757,496,
924,612,930,879,819,716,773,589,795,501,237,100,289,636,737,632,275,055,385,
251,778,402,439,074,838,701,559,049,359,094,300,922,130,941,956,050,620,546,
058,251,279,619,409,414,889,952,081,894,913,245,986,430,235,450,363,182,726,
815,243,222,543,240,918,048,433,777,981,472,656,000,490,657,088,866,080,623,
633,726,343,895,662,170,815,897,096,342,813,009,779,345,219,406,355,784,908,
061,057,670,234,078,045,406,415,921,516,633,453,930,419,143,474,477,828,593,
406,845,609,529,340,107,274,549,583,725,041,529,337,817,394,833,135,947,696,
160,394,065,145,828,780,611,229,633,693,320,976,223,824,107,021,780,700,086,
828,264,663,205,276,842,304,050,768,930,040,275,235,522,449,747,715,002,806,
790,543,681,646,869,475,824,056,464,400,678,418,805,360,627,044,407,120,299,
375,813,197,015,267,134,505,048,754,452,794,403,777,390,445,153,943,117,848,
457,083,233,052,702,521,069,157,784,828,146,043,099,219,942,360,021,710,382,
732,980,528,341,021,786,107,973,230,561,448,856,525,059,151,731,513,258,182,
925,639,901,836,340,343,125,399,745,432,184,831,918,571,668,643,004,780,582,
375,671,750,636,432,943,040,787,622,559,328,912,967,953,569,923,667,407,430,
654,642,343,934,223,529,287,755,689,767,278,287,158,207,300,704,678,605,149,
286,436,326,081,384,968,348,919,300,833,417,181,883,932,369,279,415,318,916,
566,274,621,992,216,778,657,695,937,332,485,586,385,948,862,736,434,263,260,
350,738,826,965,988,327,728,763,822,729,059,909,766,330,998,369,620,605,533,
521,361,101,687,302,114,950,707,039,348,370,545,614,311,608,137,735,483,679,
315,600,303,291,618,988,294,611,249,646,138,245,971,477,634,180,204,266,067,
029,166,921,511,176,196,842,818,788,741,860,187,258,964,158,869,512,060,086,
839,101,193,737,622,210,776,445,943,096,837,892,051,240,716,629,710,976,395,
947,183,440,587,601,627,109,088,543,080,076,300,471,119,194,147,685,380,135,
944,522,783,302,802,708,640,319,751,294,794,712,429,620,124,658,857,835,090,
869,326,199,802,872,710,130,478,370,744,804,791,626,150,276,495,621,194,220,
788,233,557,506,588,556,899,693,784,951,359,554,864,465,874,816,234,523,048,
610,935,687,953,253,038,129,944,990,318,561,264,260,816,884,452,116,031,344,
693,414,205,308,718,530,906,114,516,084,498,451,551,494,860,970,876,799,424,
649,855,297,471,700,352,824,470,360,822,521,780,540,409,218,922,328,649,704,
896,661,008,162,989,129,431,059,938,286,773,880,849,801,107,547,784,131,119,
531,356,347,285,786,281,429,857,549,718,569,306,383,927,407,646,999,810,367,
389,388,385,444,716,170,181,444,768,375,923,957,068,074,896,684,288,454,781,
845,414,082,495,888,986,724,473,761,224,685,043,170,328,421,131,615,206,020,
790,743,857,521,646,119,163,394,073,969,920,969,023,372,666,357,128,508,224,
014,128,348,228,543,678,409,071,564,454,722,767,189,430,476,883,689,237,749,
718,764,406,954,927,412,238,385,157,034,094,102,072,683,814,708,310,817,179,
895,243,242,027,961,547,065,820,214,172,333,772,344,257,697,681,713,744,546,
533,282,824,876,180,814,976,091,192,171,186,562,339,858,394,616,746,631,201,
404,171,389,814,149,822,468,477,663,211,446,109,956,623,143,799,010,915,022,
655,458,214,582,314,289,442,785,163,555,632,768,865,831,379,401,025,157,961,
431,305,841,266,331,320,741,951,480,089,693,839,907,457,483,266,717,237,755,
985,218,991,985,850,420,728,846,541,797,933,095,166,235,984,317,724,512,382,
752,441,584,282,854,067,695,985,756,495,352,844,177,870,703,617,323,576,132,
675,213,610,072,148,282,418,971,860,150,358,848,891,403,621,001,572,207,317,
791,547,458,589,257,299,115,150,845,462,290,760,098,603,295,354,784,932,462,
777,548,101,164,069,292,805,736,942,568,768,101,821,855,927,431,353,876,701,
857,508,319,486,738,307,448,760,508,357,196,356,224,318,221,356,392,668,698,
793,467,631,508,010,857,620,530,036,125,621,619,991,679,109,381,503,472,877,
240,855,775,546,787,500,069,161,570,751,555,298,115,559,533,722,746,213,203,
794,956,098,236,229,658,049,285,237,486,479,064,656,012,173,753,523,179,647,
246,490,703,500,145,209,311,686,640,208,673,806,905,000,081,059,893,212,438,
436,414,528,889,217,450,475,482,506,260,503,762,850,662,915,635,961,420,397,
065,928,489,115,622,951,032,944,798,210,303,612,235,120,151,043,041,397,699,
585,577,455,009,621,862,339,611,204,926,333,679,974,629,920,498,250,588,945,
842,086,785,228,840,924,530,797,558,747,207,352,817,280,350,348,020,958,191,
455,011,758,869,677,294,016,725,341,225,736,975,049,430,488,021,589,205,638,
457,745,827,226,749,677,264,584,556,039,330,654,307,379,673,709,345,594,325,
828,203,428,526,354,847,505,143,560,674,766,596,795,686,930,253,837,586,816,
992,137,125,916,520,175,270,128,600,346,054,384,815,707,595,626,899,915,640,
536,453,386,846,274,377,126,266,780,923,446,016,375,954,312,841,975,118,504,
003,615,494,741,944,821,357,781,858,777,500,976,813,586,383,749,683,262,151,
587,990,960,520,954,768,563,399,700,224,721,993,398,892,879,671,820,606,674,
270,912,540,172,141,812,546,191,808,214,529,390,089,896,606,590,416,199,520,
051,341,678,301,654,874,263,398,862,332,726,541,589,568,048,531,532,253,399,
427,015,348,657,355,604,550,900,597,150,321,597,255,602,709,410,835,099,935,
377,075,262,630,960,883,248,990,039,415,942,183,022,359,673,610,779,034,339,
313,721,351,759,358,211,223,925,680,674,640,772,670,880,119,865,131,881,132,
907,880,493,037,453,765,933,597,672,911,354,178,245,679,739,422,257,217,601,
677,753,155,057,430,514,250,472,546,417,462,302,366,122,743,701,068,585,394,
424,751,323,792,630,365,939,511,154,533,162,428,351,966,415,993,119,058,846,
418,980,518,961,423,538,625,100,668,111,243,260,534,947,417,173,977,746,974,
906,802,907,522,317,629,072,875,575,061,987,068,980,896,434,958,799,513,773,
057,282,755,916,543,019,615,565,366,453,039,274,799,191,589,984,741,059,189,
066,720,881,288,290,865,308,076,780,675,234,624,945,497,961,812,270,623,585,
095,040,959,346,826,626,367,381,833,500,523,721,908,762,146,694,377,300,526,
753,758,266,669,903,044,799,969,554,207,329,904,666,356,404,384,479,500,619,
296,135,774,683,464,190,883,917,477,588,251,678,558,856,500,527,414,344,788,
220,316,844,762,325,927,762,877,347,274,532,818,848,308,382,208,991,910,687,
331,926,308,305,406,986,355,459,111,105,795,638,913,667,802,286,690,135,870,
030,763,389,270,644,039,871,807,212,877,103,938,943,038,095,627,152,554,845,
174,621,100,886,306,203,421,494,419,500,085,122,793,252,002,822,961,415,129,
043,038,195,761,245,767,443,614,718,476,164,271,661,364,554,818,826,570,470,
881,370,462,542,106,860,728,634,275,270,433,592,773,651,699,676,843,792,412,
271,599,795,102,946,026,187,330,377,049,067,929,466,742,288,701,751,901,774,
285,373,103,507,574,054,444,773,322,536,635,774,042,658,812,535,419,408,921,
961,869,309,034,946,848,281,067,235,835,395,977,362,606,269,549,690,448,181,
579,739,567,141,691,018,906,263,476,482,199,183,751,297,657,081,842,735,877,
616,513,164,285,062,707,018,248,696,766,722,155,464,073,522,823,160,916,202,
809,760,056,028,326,113,655,537,410,630,553,730,617,408,093,201,409,617,791,
178,736,529,578,759,250,953,689,741,380,310,929,879,623,879,794,989,798,398,
973,513,390,138,055,628,933,481,010,486,300,989,419,377,534,274,970,101,758,
155,632,824,183,097,942,256,367,498,731,838,691,867,415,025,155,272,144,921,
214,514,738,552,786,348,060,003,993,191,478,212,522,972,783,240,708,128,101,
623,822,413,798,515,088,614,103,523,983,389,112,396,385,846,865,746,404,086,
144,657,007,331,196,602,367,090,550,794,951,086,799,138,824,068,579,648,876,
000,103,647,079,397,487,842,336,949,530,805,569,982,843,264,012,754,256,885,
900,842,888,390,448,061,027,047,055,582,866,197,727,759,489,197,568,775,080,
296,575,234,077,035,378,332,419,664,319,962,758,363,690,408,460,287,610,202,
046,708,030,323,150,005,820,356,211,134,831,705,340,050,150,518,893,270,506,
322,679,984,501,659,023,519,390,481,006,576,828,037,451,832,200,817,360,287,
450,114,700,500,169,464,815,390,475,828,964,432,989,058,191,095,746,774,320,
463,651,366,523,863,031,315,976,415,764,494,377,275,543,206,836,708,469,421,
912,748,027,713,238,590,249,670,850,864,571,559,512,918,367,060,637,659,087,
457,638,780,068,966,683,755,647,116,578,698,010,331,142,737,034,663,104,297,
484,216,976,187,365,372,820,932,004,307,656,947,354,098,549,248,723,875,579,
223,440,758,107,868,695,356,445,305,277,206,479,928,717,452,016,764,069,153,
859,421,288,666,303,120,755,828,715,328,121,015,906,416,525,281,859,042,462,
290,362,211,974,460,036,784,028,200,180,806,236,905,919,424,822,983,816,541,
703,349,626,483,269,370,784,908,470,289,123,734,339,654,051,465,197,105,987,
057,138,344,195,651,756,311,742,870,002,390,011,127,018,801,447,925,637,109,
105,056,247,285,372,889,004,799,921,714,080,974,353,869,196,058,604,159,039,
253,424,830,203,251,058,302,060,061,309,453,699,603,007,395,527,166,951,649,
738,463,091,258,346,913,710,832,177,579,354,022,932,437,943,100,808,689,910,
168,650,550,982,774,893,525,294,846,482,982,466,728,089,733,081,795,485,536,
054,527,536,740,650,823,380,481,478,123,201,555,189,965,490,085,952,279,946,
408,230,061,525,598,840,381,814,553,016,359,289,882,758,024,600,852,343,416,
853,876,271,557,713,504,662,309,754,586,026,637,813,005,545,638,639,870,677,
302,912,476,879,150,191,014,822,673,333,922,859,464,765,051,134,148,861,624,
706,668,923,428,775,863,581,439,352,119,127,814,536,398,534,261,183,228,357,
533,384,082,069,278,103,409,949,115,590,873,573,676,038,836,824,326,809,387,
313,531,571,588,134,859,117,612,698,473,977,692,773,924,907,851,413,941,028,
552,623,180,597,385,310,685,672,045,098,990,578,581,906,615,810,312,662,254,
938,156,753,319,510,612,332,872,852,218,958,112,802,084,801,895,623,182,980,
731,028,657,573,638,349,824,631,011,594,949,341,038,185,594,416,086,033,398,
147,741,459,177,353,878,531,967,283,465,074,426,198,152,124,599,152,790,211,
305,021,310,910,583,758,338,939,997,267,641,523,768,215,826,888,700,085,176,
533,577,549,356,345,613,035,939,970,271,255,325,623,489,690,935,526,992,973,
690,679,864,960,563,496,153,354,853,087,172,519,983,380,271,315,261,767,236,
601,933,948,166,013,237,622,716,578,764,474,947,479,839,613,983,126,729,292,
005,458,800,257,958,806,373,587,279,823,709,856,027,564,313,134,099,329,936,
837,619,583,585,581,140,905,230,694,127,781,821,129,764,133,195,409,964,540,
482,763,667,631,648,397,474,137,722,009,019,682,674,058,331,490,619,962,968,
255,990,082,548,109,941,276,456,171,475,398,102,166,900,917,635,223,982,281,
949,595,509,127,956,794,124,708,495,351,811,810,905,475,170,621,480,946,718,
398,834,312,726,451,215,013,867,637,885,904,932,318,972,239,095,005,338,064,
138,819,767,931,149,545,731,570,148,620,046,206,040,412,359,640,530,611,542,
010,514,916,554,281,953,351,386,713,195,372,796,589,228,514,107,802,114,669,
804,938,517,440,102,172,857,971,668,536,954,398,394,365,435,258,849,657,900,
244,220,657,347,379,985,281,379,750,277,799,746,043,930,199,033,527,202,619,
545,274,357,509,735,758,564,114,385,172,235,209,483,580,737,245,575,633,619,
079,109,525,107,225,726,018,449,890,989,951,984,431,357,073,290,402,023,475,
378,429,393,455,055,450,641,247,709,480,418,945,176,514,171,755,533,663,230,
512,264,835,139,161,444,196,084,574,114,207,382,687,797,628,468,177,503,828,
741,061,213,891,225,631,210,186,406,828,263,344,946,762,832,661,804,615,559,
246,440,343,059,403,202,207,289,407,510,279,297,300,001,493,619,019,572,340,
761,013,216,914,411,688,840,718,001,845,825,554,031,725,640,541,924,646,276,
767,421,383,475,397,697,663,092,276,651,379,062,953,867,147,591,528,809,876,
598,631,888,177,387,256,275,446,786,041,053,203,213,019,019,090,144,857,420,
383,337,173,352,945,219,518,375,714,707,049,625,539,043,925,013,057,895,117,
099,521,232,832,558,235,954,762,026,166,552,595,340,586,091,640,282,802,179,
853,788,906,517,364,379,554,797,288,720,362,220,436,956,260,190,946,876,161,
906,319,120,966,327,109,372,027,730,775,535,947,812,390,214,229,774,224,163,
890,112,485,422,299,392,363,614,775,538,136,325,421,857,180,103,551,327,579,
563,752,858,735,059,098,612,629,432,720,119,750,731,173,486,143,802,017,570,
764,054,458,193,760,889,481,279,180,110,357,163,511,307,462,108,176,567,448,
171,829,707,850,584,497,801,091,118,095,351,356,796,194,311,292,714,381,774,
903,578,517,958,372,561,741,448,947,119,093,214,499,357,365,744,606,712,234,
399,306,865,423,696,981,343,616,003,276,965,873,296,707,047,758,731,898,474,
853,804,294,777,923,096,888,509,341,895,808,443,414,000,994,609,314,721,679,
907,896,997,047,789,896,337,666,899,122,988,281,217,907,653,068,325,452,319,
461,949,916,713,114,321,104,571,789,807,869,627,044,507,298,414,295,381,691,
366,131,453,172,876,038,716,624,145,388,149,099,977,666,363,486,720,918,036,
216,997,422,033,838,790,155,380,180,223,500,788,647,608,771,828,517,240,539,
577,474,259,604,375,358,615,999,300,598,794,116,236,326,707,514,394,248,910,
503,271,842,807,977,987,752,141,792,696,875,737,296,794,877,386,798,028,947,
206,374,726,032,741,832,784,502,472,968,733,601,095,398,419,966,885,819,580,
883,676,472,797,287,949,452,306,234,862,914,468,569,153,459,330,791,433,120,
195,074,918,616,131,920,903,875,623,895,611,497,177,197,285,127,106,347,341,
780,299,094,291,541,651,007,468,012,154,068,590,738,336,114,250,390,727,017,
687,893,251,592,458,087,877,040,928,547,307,826,903,503,943,026,523,502,618,
834,623,608,167,676,950,788,419,526,178,588,757,029,816,633,127,278,446,394,
268,796,008,649,399,655,379,319,349,789,758,579,889,401,279,489,314,245,248,
744,847,658,891,586,413,025,765,801,298,000,659,019,841,359,571,277,907,193,
668,851,828,727,182,444,371,371,689,538,888,780,392,693,803,183,053,333,049,
094,861,096,973,725,461,706,717,386,090,338,894,944,621,703,600,599,334,801,
138,689,200,802,986,425,575,081,986,224,329,941,794,425,478,458,154,459,040,
294,851,522,729,895,928,095,890,893,712,377,848,136,571,015,862,615,688,891,
502,682,014,106,666,360,407,411,640,916,447,389,762,614,681,617,235,047,064,
761,288,495,176,899,458,156,098,799,153,115,107,898,789,321,884,522,352,241,
035,270,194,039,950,613,741,900,214,809,368,842,827,687,058,606,366,747,341,
738,810,911,108,862,953,783,697,017,503,355,228,084,151,008,708,660,162,456,
137,650,419,562,665,012,730,847,405,556,410,598,741,171,906,431,489,930,344,
565,290,017,629,607,242,932,443,276,209,150,611,898,379,106,747,025,300,040,
881,373,801,870,194,628,747,161,939,991,649,742,316,986,035,049,273,000,888,
786,360,703,558,305,232,802,300,222,857,108,738,368,064,444,349,058,994,569,
814,079,395,651,302,485,301,437,947,231,781,628,376,028,110,463,484,853,565,
987,089,936,017,684,640,461,399,694,441,713,162,218,522,382,642,187,909,963,
295,905,943,392,703,048,271,957,294,982,346,805,858,204,255,766,317,685,230,
916,786,286,454,067,024,731,320,848,822,252,706,357,235,166,094,643,884,606,
959,638,997,519,146,324,041,366,090,672,000,553,325,504,533,779,518,998,316,
400,955,999,750,861,029,734,330,707,000,366,343,197,362,059,126,248,801,501,
784,369,054,916,560,492,551,040,574,977,201,800,795,794,364,602,600,182,545,
455,354,824,364,942,026,955,068,558,660,875,673,851,849,715,600,835,552,401,
054,670,929,205,678,968,466,520,106,054,412,476,853,670,594,289,218,006,484,
762,099,678,225,502,436,002,565,461,756,592,415,083,506,949,898,894,863,270,
689,592,877,437,141,667,409,030,755,219,681,470,792,364,063,099,157,594,433,
490,990,468,606,528,770,731,308,584,150,640,586,117,476,323,765,354,798,371,
152,997,257,773,455,578,292,626,562,411,435,482,419,461,284,352,602,868,350,
434,255,135,928,189,537,942,455,968,815,676,215,584,760,893,364,089,891,996,
862,120,851,751,910,307,354,135,468,283,389,254,021,712,672,065,597,300,346,
790,396,237,974,778,868,935,829,925,364,153,257,406,732,403,355,847,546,783,
868,655,919,182,068,374,394,922,444,728,101,799,762,701,915,827,205,454,686,
177,498,810,431,310,948,427,079,320,970,099,995,114,179,255,849,616,853,393,
973,060,071,162,049,276,547,343,241,580,977,614,073,409,042,555,206,547,791,
168,815,999,431,017,747,087,712,159,575,078,468,040,948,946,628,381,004,754,
816,542,771,983,167,132,150,924,668,337,841,583,737,695,381,437,782,160,793,
225,909,416,894,320,983,009,933,586,230,565,590,869,529,172,779,187,510,819,
470,020,122,832,384,696,692,272,613,914,262,125,665,599,989,440,941,623,227,
035,387,582,896,193,480,387,931,427,281,738,749,871,403,676,026,801,757,756,
548,312,738,867,927,340,695,651,029,516,622,206,008,546,124,649,467,307,896,
922,069,067,254,268,910,713,435,643,582,764,032,382,818,042,027,264,473,144,
952,657,055,148,005,222,607,474,777,572,800,513,277,413,651,974,208,036,623,
002,226,390,432,292,918,472,739,875,477,344,066,973,147,090,195,184,544,542,
352,605,450,749,935,649,527,009,380,912,353,574,465,569,397,499,660,509,896,
696,505,090,904,282,621,717,929,521,928,113,064,870,150,131,095,259,782,584,
606,498,750,534,966,651,727,847,204,086,290,165,038,453,011,840,709,381,727,
355,972,917,870,164,110,112,838,702,435,822,670,100,139,478,910,075,599,367,
544,010,966,364,452,605,240,989,041,633,539,362,219,649,354,410,541,134,445,
912,133,694,365,368,070,495,047,512,278,438,703,234,932,536,558,975,756,475,
518,410,896,626,094,439,748,307,540,907,344,661,159,194,371,698,945,507,042,
057,193,942,137,055,686,212,477,635,322,371,618,405,993,154,417,661,423,534,
793,083,330,455,205,444,614,513,813,718,318,359,553,564,161,909,386,348,160,
679,720,955,841,706,531,032,921,465,747,414,604,030,627,389,194,623,181,137,
068,384,877,446,806,841,375,469,278,750,065,124,582,532,049,890,458,587,692,
953,144,223,204,610,276,411,258,734,038,074,092,486,776,347,275,286,823,144,
075,367,717,740,465,853,338,947,253,016,861,091,062,635,752,399,780,623,922,
728,238,609,106,366,602,007,146,562,364,320,581,062,226,968,904,909,906,209,
708,297,904,312,053,885,695,837,743,415,294,026,660,429,347,524,949,349,699,
897,495,269,685,938,727,765,731,957,867,246,186,475,539,712,423,600,203,613,
373,510,912,909,590,171,089,605,098,024,018,840,027,043,317,250,392,200,127,
337,975,619,391,151,817,049,129,590,288,555,139,242,213,835,715,372,173,500,
688,440,227,061,644,912,323,132,578,922,713,009,799,525,616,130,610,123,883,
404,853,973,067,400,715,930,219,588,313,652,884,560,874,779,244,347,005,928,
598,163,837,703,469,861,285,440,865,644,992,541,918,833,366,406,632,599,526,
037,268,048,388,901,084,183,522,007,265,363,391,927,062,838,014,048,702,465,
351,296,427,805,726,525,361,979,647,620,851,201,327,791,877,148,496,089,714,
207,757,545,811,124,400,560,424,646,207,367,356,799,570,449,361,106,297,855,
071,664,260,455,365,739,333,734,741,328,839,639,899,609,384,856,337,426,377,
339,086,935,542,486,331,282,084,913,396,445,464,012,905,772,536,921,968,873,
101,484,807,958,471,998,283,038,566,855,891,410,029,395,758,462,924,560,990,
105,038,446,977,131,716,192,791,498,034,811,401,636,721,505,431,336,715,769,
624,626,408,093,263,944,758,502,794,680,991,899,335,003,314,420,308,660,179,
589,915,313,667,574,310,040,008,076,808,482,815,349,900,415,244,270,352,276,
781,918,783,525,094,657,422,069,566,624,848,824,384,673,951,830,924,506,302,
005,457,398,156,437,353,978,845,871,254,836,188,674,758,437,717,572,908,700,
355,280,621,913,004,180,383,069,442,154,725,609,315,668,242,684,739,173,008,
467,575,027,677,131,262,224,685,067,083,512,745,532,244,396,489,989,360,158,
455,739,703,949,704,156,627,285,165,687,478,878,586,759,405,695,374,957,726,
911,908,462,682,490,616,135,094,574,846,067,074,924,023,870,389,019,673,216,
250,745,427,483,353,153,361,394,885,428,309,848,241,629,323,217,442,989,327,
301,513,060,472,095,748,875,093,588,096,775,137,221,527,417,023,218,984,244,
303,147,568,108,998,425,978,589,909,708,721,235,247,735,754,426,263,897,178,
486,055,528,473,980,667,908,045,700,265,745,208,312,855,802,432,547,556,284,
124,780,098,533,698,922,097,074,720,937,343,529,987,157,160,132,655,080,665,
751,727,090,956,394,871,226,230,843,915,606,311,659,789,635,974,000,326,475,
471,509,401,060,579,698,769,554,756,143,595,313,922,610,582,168,257,562,734,
077,513,705,720,684,149,848,219,926,679,584,539,660,676,875,675,468,852,327,
678,157,043,478,480,928,795,409,893,995,219,827,522,942,421,905,858,573,842,
246,534,819,365,064,282,530,464,859,677,035,740,173,730,104,078,438,082,868,
731,606,739,844,114,332,058,012,661,537,304,636,506,472,950,497,642,858,570,
118,662,808,613,201,005,122,934,682,064,816,117,476,169,465,227,651,300,151,
974,432,605,483,888,789,950,441,806,246,004,140,929,796,098,124,473,057,848,
865,474,414,929,091,028,865,985,405,647,472,210,539,234,503,695,294,756,182,
036,857,502,256,082,938,120,613,284,719,958,209,687,033,365,573,585,886,086,
536,642,554,817,274,638,891,112,017,424,223,794,783,953,834,194,429,615,148,
542,381,494,006,605,955,409,332,211,113,618,864,236,313,447,410,487,861,187,
895,736,992,173,785,115,914,268,996,702,107,788,286,761,903,205,334,056,325,
486,145,414,316,330,744,750,441,312,684,456,069,206,754,381,100,161,678,353,
196,003,800,098,974,538,896,409,807,391,758,131,189,210,320,814,652,065,109,
677,123,251,751,271,780,684,851,557,528,455,114,674,433,504,215,705,711,647,
051,040,198,781,245,744,969,472,057,266,159,717,738,552,881,421,641,228,862,
021,567,856,419,619,574,826,352,917,224,166,183,745,174,593,536,222,059,408,
015,476,610,303,957,057,725,535,589,008,641,961,282,136,440,664,774,050,925,
838,158,016,830,460,254,906,791,794,807,184,652,994,370,553,575,936,740,011,
770,685,199,131,457,082,930,412,876,045,873,918,727,718,311,517,251,388,471,
241,829,754,709,695,086,648,505,260,186,526,986,632,600,573,976,170,150,478,
555,540,974,773,170,710,708,089,963,123,958,210,614,549,312,586,682,077,820,
068,510,241,771,413,649,099,472,192,182,709,449,430,612,063,567,584,706,265,
705,713,096,632,323,594,365,365,791,709,884,956,083,635,955,015,406,680,102,
697,386,641,256,402,430,378,951,219,511,721,484,819,853,131,335,326,328,315,
077,929,425,870,045,338,470,303,575,884,410,624,646,927,806,683,528,002,283,
115,265,841,627,384,867,658,416,699,304,948,198,901,595,137,040,581,541,170,
325,023,628,539,512,168,762,316,244,749,962,988,837,299,216,545,814,246,667,
568,374,587,073,130,299,909,784,332,781,206,703,599,424,695,263,287,115,565,
757,460,254,385,738,958,589,237,573,727,699,517,058,147,748,723,080,516,529,
534,075,716,969,664,460,879,568,394,059,048,757,135,056,631,531,391,405,686,
166,763,918,254,506,051,218,055,526,436,882,495,998,367,666,335,302,965,380,
201,077,996,556,615,045,985,607,565,694,263,803,391,010,165,879,513,203,257,
407,292,688,338,402,280,822,006,446,315,348,095,837,473,354,542,164,441,316,
004,504,720,201,510,403,907,718,238,103,743,539,154,101,015,337,031,611,371,
673,826,910,478,772,146,551,412,090,719,194,069,477,793,291,972,916,650,792,
955,241,976,775,224,984,714,620,567,861,880,293,635,053,617,266,759,749,002,
000,003,048,492,161,113,456,710,432,109,767,994,810,321,193,321,152,469,962,
367,948,436,990,380,399,368,908,557,492,117,562,216,374,895,348,007,758,080,
162,253,025,548,318,427,494,407,165,645,803,799,564,794,148,524,424,788,464,
538,565,218,491,772,709,408,285,295,511,893,915,113,976,740,172,880,741,522,
556,233,388,415,926,942,756,928,756,099,294,816,487,601,373,019,175,621,472,
803,164,173,743,665,865,759,569,443,519,145,055,234,436,582,240,819,166,557,
932,899,202,427,960,052,894,786,455,344,442,457,139,500,784,612,775,282,943,
220,811,769,640,767,743,326,402,800,444,647,336,951,211,045,747,737,752,003,
514,461,160,110,940,167,326,461,353,584,014,854,148,585,933,405,013,967,447,
117,319,643,051,711,018,192,336,054,249,375,048,321,266,879,197,298,378,432,
874,163,375,982,013,862,897,613,703,715,866,695,369,617,315,286,549,284,029,
321,508,174,676,497,144,316,245,740,579,833,337,721,931,634,606,697,280,192,
145,487,883,915,047,121,717,902,906,909,956,992,095,834,134,620,680,550,315,
508,563,437,232,751,119,680,732,593,192,566,399,797,312,721,243,731,341,228,
246,057,955,643,931,322,017,346,201,858,169,738,821,786,679,179,970,804,581,
165,194,296,582,662,992,947,847,501,421,589,444,325,694,837,083,987,452,284,
274,913,758,401,574,800,761,110,992,833,957,219,322,807,050,003,167,104,789,
882,848,680,955,010,473,867,129,556,413,438,513,508,838,003,481,955,742,256,
140,525,004,881,389,246,280,898,418,009,749,351,133,066,269,675,660,744,455,
981,508,795,215,193,051,474,355,153,909,447,324,065,633,573,180,542,456,419,
546,253,694,855,351,277,596,665,605,138,766,028,590,784,998,425,574,069,536,
149,377,129,494,181,948,192,365,455,935,455,236,835,463,099,556,295,100,248,
355,830,207,187,647,261,772,361,655,807,159,906,956,022,269,571,262,454,682,
699,543,336,055,674,473,465,477,223,257,924,136,010,328,981,975,999,627,284,
644,156,421,149,985,192,117,864,510,531,420,197,941,065,306,892,718,684,462,
214,426,124,878,641,356,485,060,852,786,516,111,722,680,192,828,207,455,188,
020,957,967,447,724,268,739,332,319,437,786,740,440,182,761,042,322,658,102,
437,557,282,898,407,730,007,450,512,823,547,776,219,930,542,091,155,770,172,
695,063,687,659,231,358,441,777,088,798,842,869,154,821,023,066,785,911,131,
409,644,614,433,868,153,655,211,265,364,945,857,458,290,962,366,093,226,760,
667,625,759,979,666,401,759,342,002,139,574,011,634,366,770,391,027,702,031,
907,263,129,069,358,147,564,163,453,717,809,075,662,350,740,409,203,730,610,
560,761,094,191,951,335,589,998,079,878,335,944,563,969,050,772,067,006,505,
306,571,555,278,132,057,569,352,308,481,867,725,120,081,748,971,681,912,218,
130,486,585,283,211,193,686,254,182,881,202,186,052,589,338,563,823,212,977,
133,691,865,925,606,004,555,104,524,850,326,037,064,947,269,755,165,124,398,
531,507,271,117,380,895,388,690,120,156,759,644,297,062,759,604,476,759,420,
887,145,306,896,634,198,497,252,341,537,022,947,812,949,274,205,119,421,530,
666,742,939,082,115,692,144,362,415,234,073,607,662,602,348,382,003,529,452,
056,091,687,207,857,871,115,024,089,066,043,215,820,597,088,689,497,018,255,
431,472,414,724,302,296,855,876,746,700,994,521,110,364,191,333,000,722,138,
400,480,702,578,024,737,556,867,241,054,925,102,849,449,661,136,119,697,013,
865,908,064,112,729,390,689,996,353,076,349,232,795,992,694,015,421,826,563,
478,662,095,042,914,001,485,575,503,931,919,265,828,362,976,377,006,871,828,
799,254,447,981,947,227,613,165,557,140,241,887,727,820,812,955,588,759,382,
221,643,636,810,026,494,959,321,327,206,332,617,660,782,968,674,191,588,542,
712,947,297,061,938,347,839,047,690,127,058,528,531,623,967,314,797,845,929,
205,088,277,465,984,464,105,907,046,191,355,988,993,136,043,709,663,329,283,
720,676,084,106,251,587,075,065,499,958,692,377,078,369,170,192,978,854,828,
697,584,166,200,321,728,262,059,739,635,336,754,073,146,915,798,988,865,174,
863,708,690,445,503,029,216,926,393,784,021,380,794,807,033,124,514,551,362,
254,236,845,323,164,627,639,871,883,784,284,335,765,861,227,449,740,071,171,
014,651,428,534,018,187,152,899,512,404,078,035,852,571,802,600,743,963,711,
573,775,622,871,927,090,458,966,444,285,787,010,007,335,136,196,709,429,359,
660,506,616,521,680,355,461,912,663,816,662,780,193,032,174,825,359,898,075,
108,495,129,563,811,844,302,959,362,666,109,279,381,185,543,064,807,486,764,
952,110,720,285,115,180,225,667,698,658,508,293,339,617,240,605,926,477,347,
669,121,122,498,055,561,660,812,546,241,055,952,833,982,034,199,463,141,046,
576,307,354,378,740,260,675,892,981,645,283,333,610,628,353,441,021,147,219,
805,824,132,014,555,852,823,986,522,117,173,775,875,812,033,228,821,785,911,
967,184,641,917,937,644,312,558,785,591,111,149,597,093,877,611,966,903,914,
329,192,101,941,451,340,433,007,782,818,121,632,869,518,538,470,215,530,094,
483,886,108,505,899,350,309,513,195,382,796,339,411,397,447,574,554,127,719,
393,456,333,106,330,759,328,778,350,871,965,838,187,645,421,112,463,985,305,
743,688,191,676,944,912,194,093,484,527,950,073,272,149,039,691,290,589,603,
749,030,219,007,457,337,713,814,803,000,204,567,388,057,294,783,584,636,960,
171,837,659,933,329,230,209,418,466,749,962,445,829,365,120,247,653,638,250,
182,405,125,459,309,171,639,554,082,972,214,627,472,640,980,290,821,006,936,
057,006,104,157,695,427,306,856,330,861,791,359,924,047,111,634,889,546,774,
074,831,108,212,161,917,442,433,380,558,533,973,438,209,751,089,255,439,227,
212,853,268,873,918,053,265,081,294,607,433,587,596,984,184,614,879,966,194,
396,500,276,967,709,507,148,327,139,312,400,198,729,784,695,758,839,187,817,
936,666,906,386,630,595,694,961,185,056,242,767,738,719,502,523,461,815,555,
579,936,886,667,152,560,482,265,950,060,395,485,506,958,887,970,383,429,362,
142,509,230,602,108,996,292,470,163,054,590,503,115,374,340,337,584,260,484,
601,180,459,896,354,906,484,789,725,418,987,354,796,925,349,610,175,703,900,
298,282,673,387,314,615,053,030,068,376,440,108,629,560,519,535,214,145,081,
288,335,849,889,548,754,618,622,064,107,841,276,939,223,474,221,724,573,298,
835,718,029,250,030,629,341,698,763,478,617,501,433,149,589,161,103,549,490,
054,743,107,527,876,934,801,547,526,697,247,822,919,631,183,066,909,762,200,
278,024,320,284,894,073,182,462,458,384,536,587,162,630,262,380,124,405,743,
653,516,546,393,310,011,077,860,579,600,562,053,585,415,322,362,239,804,554,
507,432,379,338,746,536,039,425,865,502,992,875,128,781,463,553,084,745,754,
040,287,114,453,002,392,810,700,800,551,628,548,122,247,082,696,568,626,225,
123,380,316,194,865,537,768,195,882,547,354,913,711,007,515,592,156,395,725,
993,582,783,616,310,776,705,019,010,306,656,711,375,076,605,475,482,759,763,
909,085,831,045,639,729,153,408,649,908,009,528,067,589,389,871,868,600,988,
679,625,927,819,826,466,432,474,440,259,558,730,120,148,844,578,234,649,516,
016,573,601,562,136,959,468,370,315,787,014,537,252,814,624,608,188,575,185,
309,009,890,808,141,386,307,660,420,959,723,321,393,321,465,241,403,861,526,
580,134,377,931,153,320,089,607,271,123,724,849,673,193,858,573,292,163,677,
984,258,200,553,899,157,216,333,500,736,359,475,833,447,678,677,894,837,910,
877,274,327,609,853,225,133,256,105,006,923,956,326,694,515,740,107,186,503,
493,226,147,944,009,313,074,696,848,657,277,151,449,460,935,652,864,762,911,
321,490,489,350,160,503,694,278,617,323,692,396,195,862,487,574,756,950,930,
918,834,179,402,933,415,202,784,447,442,442,856,649,562,777,204,918,732,631,
346,975,670,381,318,948,894,854,661,542,220,954,491,011,128,796,869,161,995,
055,928,959,287,254,642,518,029,157,527,303,981,950,347,397,486,840,668,948,
812,797,139,297,434,554,249,576,612,882,814,211,661,822,586,247,957,474,418,
346,339,136,429,767,800,762,891,598,806,334,542,190,924,025,557,011,424,030,
743,812,350,649,241,483,944,058,391,780,796,508,510,320,288,331,751,909,688,
754,394,050,737,972,663,226,986,460,728,523,618,431,865,059,110,657,228,200,
621,324,814,557,990,846,505,210,896,988,735,083,191,385,028,641,483,102,994,
262,005,312,184,662,299,148,062,209,679,433,367,894,259,688,968,810,302,138,
619,167,647,700,697,507,303,282,696,400,546,576,699,182,023,264,210,769,422,
137,158,971,504,271,434,150,137,065,618,405,695,961,482,696,672,574,489,902,
507,507,707,981,253,101,063,277,839,284,800,191,800,454,093,709,587,834,202,
427,674,088,299,792,472,459,701,022,936,907,887,019,083,641,573,587,651,949,
409,190,617,404,937,051,872,141,843,787,280,015,456,078,336,560,066,591,662,
787,943,488,768,741,502,375,174,764,170,798,340,290,892,698,197,103,687,922,
169,302,774,194,838,810,141,268,465,400,988,496,021,746,050,268,999,766,490,
427,099,384,905,337,534,723,173,247,723,828,776,472,936,898,877,801,709,888,
567,282,815,106,289,774,464,255,062,367,669,841,730,060,566,877,587,389,789,
163,743,434,209,537,814,660,507,158,964,257,710,436,550,007,212,840,638,199,
912,587,491,834,962,537,294,103,952,411,445,911,051,356,493,129,602,261,214,
434,574,365,276,592,635,381,445,100,537,001,547,970,995,587,385,030,102,099,
808,407,957,847,330,854,461,742,088,566,490,196,632,836,083,335,517,872,326,
759,842,688,643,662,658,475,877,411,177,625,249,138,180,177,121,161,106,856,
752,731,931,143,880,155,718,182,677,894,378,379,019,065,207,132,128,594,994,
705,916,417,849,585,574,623,267,662,335,457,646,497,527,775,600,290,731,078,
614,623,959,172,828,918,590,534,560,828,957,850,047,649,162,779,722,134,898,
126,143,813,218,317,755,138,291,750,895,876,463,342,041,109,490,392,700,827,
013,118,864,663,722,183,210,420,524,456,849,005,170,225,097,548,113,845,501,
323,029,435,574,437,551,653,705,089,130,318,825,066,525,413,457,097,152,117,
287,975,026,350,449,034,454,095,723,316,490,034,730,032,736,975,625,420,135,
811,530,492,623,944,016,258,727,793,177,701,295,046,311,503,685,668,315,099,
981,013,381,538,600,166,170,277,455,017,037,538,840,949,919,517,321,166,003,
268,633,394,247,466,548,927,110,284,043,479,601,482,407,141,851,384,898,704,
262,800,543,420,959,147,340,075,976,919,445,049,134,125,437,261,347,718,246,
681,883,793,784,798,388,136,928,020,252,196,506,929,544,348,581,772,144,202,
898,061,869,283,065,268,987,038,149,690,576,433,875,601,121,624,138,962,281,
721,747,913,074,823,330,328,559,860,489,342,168,098,780,400,383,462,112,342,
683,983,276,336,917,089,568,867,062,779,325,821,186,010,680,798,198,768,369,
900,451,482,161,150,271,533,747,330,433,695,025,359,811,867,238,134,759,210,
703,575,846,580,644,744,564,693,878,319,141,065,629,284,284,647,742,699,799,
813,231,116,090,737,851,049,516,689,555,636,150,686,030,587,815,845,887,898,
057,074,055,797,636,177,005,722,271,935,757,013,348,133,095,668,448,088,134,
302,902,423,040,730,022,800,983,493,384,372,335,684,071,290,562,236,789,032,
287,500,605,170,747,874,198,634,348,111,497,629,648,040,670,905,816,464,910,
470,859,413,688,832,926,769,727,938,251,879,995,404,958,749,238,594,189,015,
808,532,531,809,124,401,026,938,996,477,818,458,589,939,608,880,351,302,786,
768,731,792,751,400,136,001,967,563,118,413,324,167,249,474,879,287,296,284,
699,889,041,078,373,055,565,192,745,802,044,493,434,626,793,674,422,378,307,
405,305,299,080,070,175,579,772,103,487,917,501,886,536,231,108,070,926,306,
522,645,993,909,888,137,690,076,514,089,810,320,008,285,125,778,894,044,593,
457,300,027,478,710,706,416,148,231,180,503,210,281,630,107,613,392,924,637,
299,678,183,001,607,430,573,157,304,207,426,831,677,795,154,125,663,726,164,
294,264,677,203,596,075,883,179,571,361,315,522,331,271,898,138,631,727,122,
374,468,300,500,185,349,609,806,541,109,988,257,395,620,596,758,051,496,026,
039,781,834,982,798,010,712,194,035,966,441,246,749,716,448,229,187,956,499,
479,390,019,096,701,444,130,992,069,527,553,170,976,026,558,655,431,110,254,
639,519,546,604,822,203,116,682,253,279,526,523,853,385,278,457,247,452,739,
562,791,354,607,227,444,510,887,926,492,361,773,356,925,710,184,137,484,890,
233,490,819,837,267,526,198,766,319,784,791,446,331,206,833,525,809,011,473,
797,490,045,110,059,259,387,679,520,822,506,749,490,961,522,439,410,550,368,
006,593,178,885,078,013,735,172,352,107,257,991,872,449,391,173,125,239,671,
774,578,137,403,813,153,922,531,326,084,749,368,065,620,359,765,191,654,437,
410,432,389,535,006,672,024,596,485,262,135,872,553,056,600,748,556,966,575,
331,433,142,981,076,512,405,768,392,233,128,185,127,648,278,359,976,032,480,
159,612,389,979,468,808,364,707,965,123,503,667,303,891,476,145,653,698,956,
585,842,819,042,421,451,840,212,549,782,263,000,178,057,590,458,836,389,853,
715,909,761,504,544,183,142,857,456,008,139,853,720,556,115,522,759,795,359,
523,726,988,861,464,793,670,403,646,150,756,792,294,768,160,061,332,393,595,
614,730,590,837,880,427,982,577,070,346,913,663,857,846,658,401,109,659,306,
125,963,089,560,314,923,814,236,975,006,568,247,182,931,143,231,143,212,169,
837,424,112,619,536,647,290,685,365,702,180,121,415,583,536,355,157,797,948,
872,261,539,517,488,928,962,830,217,644,216,335,435,875,212,568,005,521,613,
776,746,816,071,547,681,056,863,573,071,078,915,179,646,559,562,140,648,598,
327,642,294,462,949,818,001,640,770,144,033,717,546,425,442,175,928,970,943,
443,931,814,302,293,456,385,489,847,026,348,614,401,047,913,178,128,302,896,
092,638,510,360,208,022,765,279,761,624,280,388,640,850,814,144,479,029,266,
825,959,754,853,373,820,304,684,671,373,148,722,248,426,316,371,723,848,261,
054,486,246,884,878,672,337,360,168,831,732,036,260,868,140,238,607,351,819,
626,144,928,782,110,066,995,002,589,121,971,083,539,582,967,179,664,496,455,
140,490,777,405,869,444,852,569,682,538,049,702,079,318,596,693,690,222,935,
848,036,440,839,355,145,584,586,119,409,032,197,383,261,514,139,003,690,116,
363,772,210,371,526,717,817,681,602,053,116,918,017,708,291,414,544,691,725,
052,756,582,349,849,770,657,656,260,702,823,522,105,369,107,353,227,909,311,
215,052,647,359,899,917,930,395,166,288,038,035,898,999,806,228,881,668,620,
459,757,497,349,220,401,767,414,166,872,009,415,885,469,318,722,438,147,515,
758,243,064,008,300,557,295,041,018,120,877,828,441,971,076,049,384,470,339,
038,341,810,276,206,005,212,853,236,701,796,647,204,445,254,747,810,839,828,
146,680,159,731,974,188,753,188,749,249,974,181,612,389,749,276,814,253,196,
330,249,274,318,145,355,326,006,887,736,149,547,139,837,914,491,557,544,536,
424,937,085,663,466,467,816,979,546,404,553,344,840,310,421,527,412,506,927,
683,620,460,667,127,123,614,978,754,009,019,386,780,750,018,442,462,225,277,
618,651,161,127,472,527,566,918,347,807,126,035,154,278,141,637,222,895,113,
695,940,979,041,255,067,888,103,838,624,637,096,010,939,678,585,235,483,658,
256,665,778,495,272,838,538,772,688,125,985,900,563,651,937,837,247,392,926,
087,104,877,995,605,951,427,794,162,357,774,049,226,538,776,213,970,777,009,
148,438,246,548,976,149,348,737,399,695,146,607,875,102,972,993,131,116,854,
477,363,743,176,510,810,159,032,831,089,585,838,533,771,515,946,009,571,134,
602,188,592,264,253,768,672,026,393,506,676,442,443,392,879,473,442,128,759,
688,112,919,479,286,746,447,386,187,113,010,862,199,609,120,680,472,197,817,
997,077,285,987,444,015,264,924,953,976,800,596,531,349,621,648,019,207,129,
546,604,885,126,289,387,300,264,412,907,231,665,102,857,947,704,310,289,044,
513,323,633,644,941,187,452,375,182,651,122,627,731,070,304,392,560,199,978,
085,654,034,696,003,466,748,085,407,480,884,583,402,548,499,644,139,348,480,
846,075,178,174,579,194,299,569,524,464,987,287,500,487,552,425,580,321,977,
539,538,231,013,101,255,664,297,938,023,700,005,168,056,307,180,011,446,929,
950,374,575,600,988,631,654,146,584,764,864,533,387,920,516,862,873,956,491,
771,319,341,626,614,612,228,660,412,101,651,699,427,694,073,423,280,239,703,
358,329,619,522,094,517,595,899,864,075,848,203,821,408,209,628,610,029,141,
760,145,289,633,957,534,373,187,529,822,576,219,975,413,638,560,698,818,736,
352,050,050,105,323,512,391,858,099,402,396,036,046,709,076,104,245,190,380,
299,260,613,259,565,518,794,728,915,622,243,310,413,183,981,072,827,922,997,
765,649,551,262,070,472,011,938,149,727,772,378,417,799,935,064,547,909,428,
104,677,653,220,940,429,045,995,515,519,025,154,614,939,784,992,971,563,770,
184,924,864,381,609,578,969,282,323,913,000,076,392,725,577,263,387,431,902,
717,639,214,015,000,609,584,037,037,407,544,428,255,170,916,957,108,641,913,
148,206,752,166,391,148,404,194,121,011,149,317,486,429,960,183,067,886,341,
746,717,106,230,000,571,546,686,337,338,299,546,487,391,165,637,932,690,098,
940,150,860,687,925,608,716,268,346,183,679,664,196,295,721,382,884,442,917,
864,676,106,956,509,232,624,903,416,644,515,510,655,959,612,170,707,879,311,
378,740,421,409,594,820,950,537,084,995,669,783,167,648,069,944,872,416,634,
040,985,965,823,864,746,950,686,393,912,282,626,723,469,648,007,707,565,836,
878,633,878,794,920,177,069,841,710,342,508,455,594,051,772,844,436,570,362,
233,872,872,765,123,839,758,132,157,605,634,831,109,595,900,691,232,628,913,
858,825,847,087,168,631,654,908,343,419,215,574,290,027,147,775,049,957,991,
608,194,472,076,702,845,185,749,145,080,815,338,907,741,461,349,989,208,416,
830,919,148,858,103,038,032,324,712,767,470,136,981,109,687,564,604,969,672,
703,658,692,482,990,119,018,969,294,431,227,753,762,428,796,657,523,069,820,
052,761,122,499,867,922,130,794,631,771,551,561,890,663,711,537,747,512,745,
446,137,580,721,071,294,208,693,440,181,908,015,265,761,994,579,916,612,245,
366,952,269,772,631,904,051,359,693,258,806,730,765,553,290,661,945,127,975,
693,622,152,450,227,398,256,157,104,621,952,835,100,555,862,053,667,465,755,
677,752,508,352,192,706,122,354,159,145,465,339,387,071,006,111,881,876,744,
570,765,446,740,885,158,487,038,472,574,027,098,533,841,966,081,612,309,576,
471,580,506,977,364,192,447,723,071,758,332,062,996,644,061,064,547,368,957,
836,208,313,773,045,317,262,437,059,535,933,447,207,771,285,531,153,131,294,
657,982,219,589,975,427,958,629,135,978,323,475,383,179,795,147,911,161,724,
242,515,136,909,381,652,343,079,584,577,617,831,187,798,992,255,734,035,567,
648,312,920,146,396,627,952,648,015,429,678,832,167,984,387,342,351,866,055,
110,219,362,547,788,360,564,466,791,427,717,561,508,933,826,570,893,579,613,
504,090,128,723,889,389,724,558,439,370,046,481,839,861,782,839,205,887,177,
380,047,937,266,019,174,502,309,814,308,789,362,343,334,757,919,915,364,846,
512,148,227,057,657,192,200,994,169,808,273,913,865,437,522,709,736,301,755,
203,018,657,793,816,849,404,619,363,293,324,744,409,291,673,893,907,206,919,
369,118,002,981,369,851,861,317,770,837,120,224,287,982,390,666,044,144,143,
713,197,844,360,625,551,881,753,776,526,773,123,825,466,489,758,327,372,088,
650,475,865,723,759,157,768,184,577,213,360,676,707,435,774,868,521,601,536,
882,586,294,359,689,963,880,197,093,942,577,557,505,070,634,761,435,928,922,
680,179,052,777,303,236,611,349,414,608,384,361,719,867,911,174,930,873,700,
614,525,676,012,071,357,256,132,138,129,304,410,273,446,848,823,152,765,644,
629,589,507,507,531,744,241,988,279,837,743,109,406,878,259,365,081,582,251,
328,464,974,584,661,436,044,648,224,015,302,156,675,368,970,948,733,220,364,
132,029,541,712,157,728,298,826,673,286,473,972,485,981,776,477,446,991,244,
549,013,404,992,994,492,640,143,897,049,552,238,586,574,514,177,572,972,503,
304,388,958,357,641,355,191,559,038,294,144,195,752,263,729,805,843,978,418,
066,069,756,846,151,204,993,912,756,660,079,661,163,480,388,406,714,903,122,
346,601,022,594,748,089,187,788,036,947,613,933,888,728,381,565,684,630,838,
717,788,920,703,447,856,314,345,571,549,151,749,469,557,021,079,276,584,000,
795,493,595,795,757,384,870,337,167,024,809,326,587,697,846,346,908,316,111,
277,654,981,093,515,930,883,487,995,538,576,868,694,562,927,966,240,966,843,
340,032,180,397,510,246,580,286,936,433,336,086,605,581,941,712,528,956,371,
798,520,820,889,178,156,882,189,921,755,544,702,800,834,356,335,220,137,416,
610,372,478,482,333,495,142,404,363,567,055,510,711,404,900,537,804,916,949,
817,949,976,643,626,985,722,933,293,091,297,786,745,244,534,861,020,371,045,
259,848,487,683,814,464,163,409,015,693,484,872,260,342,906,085,800,083,248,
697,518,808,926,336,648,407,413,983,095,027,064,537,215,845,849,899,754,846,
551,302,525,404,842,704,726,567,552,645,591,662,986,685,481,461,410,442,735,
309,567,156,866,773,915,523,924,659,528,883,777,694,217,369,382,205,230,828,
575,705,947,133,788,684,715,405,030,686,068,589,429,978,582,798,034,040,219,
501,290,184,426,959,818,858,321,079,719,332,672,998,039,289,588,633,382,631,
243,184,032,682,637,508,378,733,567,372,386,139,088,210,928,223,226,900,214,
567,798,170,881,842,134,561,593,682,409,934,582,248,753,092,461,549,217,234,
510,233,999,248,263,261,484,361,347,332,611,250,672,238,502,827,842,059,019,
834,733,235,571,484,051,864,244,923,651,224,547,481,188,691,758,591,969,324,
588,694,274,757,748,803,527,722,353,097,087,863,373,280,475,468,556,594,724,
079,689,460,833,811,113,127,207,582,167,496,669,882,228,794,369,644,964,100,
427,544,926,259,139,224,077,205,920,466,963,427,263,596,348,334,309,462,035,
418,757,914,066,027,283,420,013,337,919,857,835,731,927,767,515,009,821,363,
079,214,303,980,121,791,914,100,594,177,668,293,864,731,972,199,121,346,331,
955,741,555,481,170,884,857,147,141,909,593,141,164,484,011,620,906,813,650,
282,596,371,883,148,222,084,217,819,122,772,868,050,920,025,434,481,967,459,
821,048,253,621,242,570,532,965,004,015,977,556,794,750,815,321,731,438,401,
322,361,078,240,069,021,942,379,158,006,762,766,918,447,455,578,802,540,736,
951,652,150,091,408,570,189,755,161,128,251,703,305,885,616,449,011,149,872,
814,663,719,644,569,616,896,660,602,739,036,325,194,656,284,003,734,061,773,
244,173,177,951,606,099,571,433,176,145,924,148,857,267,604,186,235,871,063,
697,360,202,439,144,409,727,893,485,531,836,714,281,419,258,082,220,226,687,
010,260,303,438,333,176,571,384,057,705,763,347,756,332,749,162,501,615,742,
298,154,862,977,358,933,973,452,378,923,642,116,923,600,117,543,054,526,397,
297,643,600,062,226,645,297,497,929,963,261,211,193,987,502,982,762,328,096,
115,139,871,018,396,882,658,388,228,113,942,885,701,087,849,130,163,179,766,
842,203,921,443,455,001,539,204,667,708,730,191,369,205,908,409,079,693,208,
584,145,670,281,819,275,326,354,439,521,439,147,759,285,933,321,124,316,000,
943,578,756,252,283,718,797,956,907,105,740,813,998,193,279,294,473,553,793,
679,331,012,306,963,851,383,474,848,277,779,664,975,912,833,767,875,796,193,
866,315,239,178,608,845,045,776,174,546,580,645,162,973,196,219,162,915,403,
374,364,773,107,544,742,346,234,343,215,920,093,092,569,625,813,955,484,842,
953,686,425,830,960,585,368,913,532,363,484,024,901,186,642,474,865,708,798,
083,808,936,529,975,976,311,817,096,510,914,847,999,205,694,043,853,666,763,
614,933,498,718,265,687,213,278,429,408,676,165,162,716,674,680,043,616,531,
943,286,144,301,520,422,585,771,108,937,892,037,921,801,196,321,970,737,048,
058,541,521,450,522,879,226,958,452,771,074,463,294,088,416,095,046,627,220,
935,554,383,498,775,076,021,876,086,756,840,719,302,309,372,008,439,517,822,
165,681,915,207,997,092,023,446,602,470,646,397,532,279,416,040,741,881,269,
494,086,305,138,049,251,767,242,302,128,918,459,952,232,773,727,293,709,406,
172,191,015,561,973,819,456,603,840,297,308,613,462,912,981,223,302,474,983,
985,649,392,559,600,557,703,912,030,283,876,619,509,322,149,684,492,330,060,
874,775,096,001,331,479,699,548,293,283,477,610,268,772,554,618,977,446,921,
823,297,272,316,409,956,380,553,233,258,884,474,626,952,485,820,581,179,412,
078,072,326,417,206,560,453,701,105,045,900,033,924,181,482,993,993,919,664,
544,885,647,534,345,257,538,228,005,572,894,375,196,792,111,575,691,361,496,
985,802,747,694,354,398,940,708,042,840,150,709,749,366,790,068,266,264,830,
123,549,708,921,188,932,413,151,773,982,501,487,935,194,733,738,772,512,834,
830,673,830,483,779,850,925,255,722,418,591,325,573,644,531,572,874,922,736,
337,622,973,764,652,137,921,847,325,966,576,693,332,982,714,177,668,221,353,
386,890,307,699,793,079,198,905,038,247,146,518,035,504,687,819,305,747,912,
168,436,238,657,254,533,592,840,119,500,619,470,826,460,186,778,536,919,466,
308,581,212,292,651,439,581,614,908,665,509,669,241,220,334,964,304,612,727,
167,341,066,891,423,019,129,421,920,801,331,630,286,798,025,532,983,085,384,
739,431,187,983,118,658,472,674,892,738,873,197,591,147,185,734,594,020,491,
988,077,446,953,724,132,674,277,448,642,008,996,474,445,584,330,711,685,693,
380,823,963,382,811,770,049,700,357,980,268,876,780,695,101,506,498,407,817,
090,954,837,529,505,572,638,541,234,183,270,929,574,950,426,858,344,878,861,
649,009,897,277,297,101,018,547,173,108,610,045,661,954,927,313,080,531,069,
078,710,048,299,723,217,108,014,382,883,883,986,942,270,740,348,796,260,066,
065,389,773,211,907,226,592,231,724,907,283,977,203,850,883,829,762,274,387,
252,466,907,036,204,963,756,770,126,021,344,732,001,726,085,252,284,255,709,
866,550,768,512,482,716,790,540,489,011,927,805,564,208,823,173,525,483,865,
082,401,311,248,273,412,048,092,094,486,261,155,469,039,347,977,580,957,999,
838,012,921,043,291,179,025,469,651,295,468,502,062,875,901,319,228,626,751,
924,679,041,260,279,625,647,928,021,248,772,113,519,566,868,341,292,566,853,
893,389,977,060,963,466,262,943,495,978,541,808,565,372,720,964,262,737,627,
484,058,115,013,244,514,019,219,501,009,877,985,023,264,317,776,641,134,562,
233,292,542,807,373,855,801,672,290,930,469,552,988,189,761,407,062,625,657,
024,156,580,577,221,433,044,368,595,471,189,418,799,432,495,758,456,485,304,
735,250,964,812,177,871,535,679,786,297,168,804,217,839,382,507,209,804,341,
873,076,161,269,866,053,622,222,219,300,481,062,133,227,786,037,380,873,362,
919,675,695,541,020,037,462,287,350,086,745,951,964,630,795,701,028,563,302,
516,761,806,584,542,793,689,741,312,067,687,838,970,790,468,502,007,613,807,
789,335,560,923,920,846,834,838,648,774,809,151,476,624,328,608,145,943,736,
967,359,821,322,759,660,093,381,002,550,046,002,338,789,868,349,381,211,357,
805,229,937,980,991,136,107,903,457,577,590,015,839,279,451,341,555,235,025,
060,334,302,790,920,369,042,658,225,663,216,091,201,197,910,643,366,020,742,
225,159,759,591,109,503,078,503,667,435,675,254,671,093,419,243,654,358,848,
319,691,958,440,386,351,788,909,702,819,080,098,170,916,151,079,458,381,019,
354,420,405,355,120,474,073,852,713,133,972,927,894,984,163,035,223,215,117,
188,668,131,740,263,651,343,007,637,292,291,611,973,527,308,679,797,011,405,
742,905,699,053,451,898,483,432,687,930,563,368,752,602,874,329,121,825,295,
887,723,014,298,285,877,041,451,466,082,695,626,424,784,949,268,678,025,681,
342,343,282,475,671,101,663,410,189,383,351,534,698,448,159,038,174,572,286,
218,214,916,078,218,379,436,243,749,161,206,462,574,521,070,536,855,856,818,
554,688,850,362,868,977,387,012,895,557,405,299,118,493,375,046,544,452,916,
066,491,559,839,080,801,289,107,731,381,368,206,169,811,155,754,804,489,274,
128,369,463,233,753,022,649,544,396,676,319,288,914,923,703,308,474,996,538,
601,329,679,728,298,879,064,196,806,798,513,689,006,953,697,551,563,569,690,
083,264,072,825,729,608,818,085,177,410,895,923,867,519,945,532,504,862,564,
406,683,555,034,912,556,220,132,005,857,534,562,159,444,352,933,073,030,598,
760,143,244,534,163,950,864,140,071,535,219,608,927,555,407,471,972,080,196,
946,513,801,595,370,695,839,061,266,311,743,222,240,438,952,941,247,427,758,
938,838,047,065,740,712,367,628,022,559,249,482,409,089,029,765,045,061,272,
105,109,738,321,378,668,793,024,645,470,127,547,111,949,025,182,895,319,370,
727,537,299,949,096,471,288,118,171,039,174,390,364,298,854,729,252,538,929,
592,515,890,336,573,960,436,639,297,043,324,834,555,404,600,708,510,203,972,
918,371,793,420,391,241,497,954,018,213,594,599,847,502,850,797,847,701,350,
966,207,877,702,225,217,080,721,500,655,965,636,290,502,533,169,843,225,355,
910,246,575,928,557,987,009,041,160,166,372,399,406,406,436,319,762,855,170,
504,817,653,929,382,394,862,626,722,210,848,357,028,596,270,164,360,568,790,
019,376,561,139,444,640,370,015,629,491,030,656,335,256,493,420,521,340,797,
582,442,464,255,787,135,965,209,316,623,253,745,299,956,453,028,950,486,134,
297,609,110,659,431,495,161,404,670,366,283,433,614,216,097,998,310,726,913,
393,607,252,541,622,095,141,465,972,188,019,240,586,110,196,625,363,827,741,
757,547,797,886,873,237,713,612,975,244,419,597,837,141,459,877,157,816,183,
765,259,128,358,201,152,326,373,764,861,907,524,963,104,062,242,184,658,551,
000,232,231,475,686,460,303,713,171,487,138,800,108,726,286,977,400,820,682,
026,926,558,030,909,610,981,364,731,940,545,232,068,148,574,186,561,311,754,
302,867,724,964,692,555,020,232,015,346,396,014,034,291,667,480,291,885,227,
211,682,928,383,722,501,580,942,412,857,412,242,101,942,519,948,925,535,055,
297,721,275,091,177,507,686,959,361,848,654,184,552,363,941,160,348,720,449,
517,382,588,638,313,755,835,005,257,966,875,401,044,423,272,224,829,428,341,
169,764,493,041,272,386,122,360,392,185,181,141,804,788,991,749,888,226,708,
695,464,845,832,388,632,722,760,654,970,307,983,547,544,152,436,487,744,356,
126,491,113,064,361,898,662,674,663,228,997,180,574,844,465,853,983,588,783,
397,451,332,289,743,936,620,527,774,885,945,078,167,706,973,702,351,268,885,
544,306,381,449,979,800,413,121,900,454,098,131,671,194,650,086,502,278,942,
797,950,758,591,366,314,821,296,942,606,768,120,496,970,961,375,487,816,304,
908,559,711,893,427,844,843,603,795,353,495,031,140,150,540,855,311,910,403,
145,941,695,762,118,455,876,244,977,892,487,684,015,892,145,428,820,471,752,
721,112,717,675,301,076,004,536,250,211,185,738,179,552,643,063,941,733,926,
591,728,600,877,522,024,132,735,470,226,001,170,858,623,301,013,322,341,929,
952,941,299,706,169,701,989,458,465,092,589,256,960,607,696,604,973,159,579,
395,364,759,080,018,111,640,620,701,451,731,934,511,975,418,961,883,687,024,
109,606,294,622,518,002,551,216,146,595,546,384,317,493,978,433,172,018,428,
694,698,744,616,097,973,815,437,197,803,909,723,337,554,337,326,819,053,666,
009,864,584,002,875,791,873,094,333,654,127,836,871,391,851,282,945,530,120,
229,791,527,905,344,331,783,428,440,080,306,897,557,259,281,898,335,778,161,
765,664,421,790,165,994,521,164,536,459,863,856,041,234,057,744,813,472,007,
122,157,050,597,170,075,195,924,991,315,945,950,831,056,494,456,402,517,632,
142,746,366,160,629,182,974,815,542,238,046,039,625,778,367,041,295,149,538,
571,437,585,399,901,900,001,109,320,645,324,278,807,241,001,220,978,453,542,
016,777,327,875,283,074,328,961,466,352,572,756,206,758,234,895,609,027,903,
547,472,080,879,454,788,296,320,916,698,510,101,148,551,532,289,339,889,206,
628,674,477,456,775,576,984,438,183,185,311,373,338,384,436,337,021,922,414,
737,893,052,271,166,404,446,355,312,421,634,729,980,628,648,073,016,582,703,
154,218,638,887,843,583,481,522,852,862,538,019,795,560,811,822,434,956,295,
639,794,275,190,337,750,916,472,816,519,472,782,502,000,730,428,045,638,082,
215,227,027,907,369,223,724,396,848,271,609,004,052,015,455,235,247,758,899,
746,023,313,709,057,424,706,514,516,556,680,834,735,342,893,433,714,711,091,
178,107,746,899,123,021,315,902,384,710,947,296,116,951,423,521,115,703,910,
833,027,647,710,227,327,131,460,678,918,870,011,145,787,661,994,675,252,445,
407,408,499,965,433,159,127,559,377,212,585,389,670,765,134,422,381,990,142,
910,507,252,261,564,676,480,267,413,275,338,901,443,621,688,892,053,276,069,
362,852,622,409,383,369,197,210,361,832,961,593,976,295,959,429,606,662,400,
522,289,457,315,589,790,609,541,172,905,573,099,671,959,306,603,880,868,290,
540,702,288,028,107,114,069,397,664,943,921,869,424,088,490,780,068,565,237,
009,324,485,966,391,836,522,187,917,638,660,728,870,995,581,071,494,325,322,
031,509,081,375,980,427,894,840,973,422,547,496,646,959,770,864,418,545,832,
784,269,288,560,540,378,185,713,706,439,273,968,176,653,437,673,777,954,146,
441,689,536,885,682,255,029,481,615,267,169,147,494,773,281,480,807,057,539,
358,720,053,372,322,088,754,756,621,784,900,516,278,777,414,969,597,967,611,
246,343,435,263,140,100,395,574,726,699,591,337,812,996,032,526,059,893,544,
593,394,593,610,773,409,270,282,499,352,847,688,416,077,730,488,535,375,324,
502,952,007,349,898,711,509,254,685,886,237,881,820,721,233,522,011,947,608,
799,921,878,350,619,264,920,407,339,021,002,358,517,353,569,261,402,960,762,
474,816,850,033,073,391,132,126,535,039,182,582,934,632,218,741,723,672,677,
138,937,255,092,724,668,349,714,003,107,465,144,526,570,204,542,457,857,440,
056,422,355,685,483,248,961,175,645,732,942,928,320,030,229,083,858,631,498,
625,429,889,826,149,318,860,497,198,902,097,760,077,724,901,633,795,690,382,
576,305,691,703,809,055,315,781,455,568,390,221,743,208,282,252,640,142,334,
193,889,032,868,146,051,698,401,374,138,037,869,641,708,522,660,471,284,450,
364,902,465,904,683,672,829,601,614,625,719,571,103,187,105,948,206,977,451,
014,872,240,046,118,000,744,957,383,254,973,842,520,424,074,159,328,036,843,
600,744,679,379,325,193,764,138,294,832,750,431,776,994,949,557,645,749,605,
332,023,986,876,723,295,830,397,161,166,002,953,444,819,498,670,701,964,030,
057,312,959,388,384,791,650,984,219,015,214,009,242,560,621,743,193,830,052,
223,926,782,104,237,078,198,012,964,377,918,825,214,707,607,704,229,046,977,
320,534,161,280,431,383,099,387,456,428,062,275,219,500,075,863,063,764,123,
112,116,924,381,328,326,254,815,197,436,161,139,870,798,991,412,137,403,562,
426,543,191,235,525,706,476,539,407,753,578,746,064,115,726,683,580,405,253,
559,260,863,100,778,798,945,490,844,030,039,499,508,628,159,869,552,219,558,
376,006,552,247,620,996,673,158,995,402,884,297,621,001,263,393,772,246,601,
527,242,210,626,723,057,638,385,992,747,115,619,592,678,046,910,810,969,478,
777,682,441,964,987,378,268,485,979,858,231,005,804,446,447,439,645,474,799,
763,384,050,980,623,945,299,772,053,713,634,623,493,417,724,272,456,663,783,
972,237,621,699,341,903,024,198,708,745,952,737,643,282,841,080,231,433,607,
840,442,809,575,442,481,935,138,456,075,717,000,690,002,829,728,799,640,889,
583,493,607,815,661,829,470,177,547,744,612,352,172,633,070,381,489,545,749,
086,762,988,576,768,952,862,600,460,518,607,745,618,653,347,564,668,062,415,
894,098,468,740,256,254,817,999,842,742,052,741,189,872,648,321,386,737,918,
790,426,288,251,986,262,516,496,128,380,922,688,101,030,970,384,318,762,871,
762,662,618,808,868,607,453,565,235,613,572,827,413,505,468,215,694,591,017,
329,315,184,529,544,809,511,174,240,849,766,550,497,207,344,328,569,150,809,
650,299,139,012,300,277,850,054,415,476,163,718,296,493,816,102,863,310,803,
368,346,300,363,594,097,767,897,366,067,538,343,915,249,764,232,345,910,232,
316,638,753,603,229,343,823,926,143,925,521,353,869,335,076,098,246,839,585,
154,258,218,222,366,341,667,073,359,396,528,447,727,184,553,544,275,147,304,
464,357,996,897,806,816,886,373,780,777,437,394,196,845,782,733,300,701,978,
907,172,883,053,895,133,614,187,699,546,650,575,977,035,959,212,863,817,131,
118,887,981,743,823,865,561,945,606,825,477,176,270,645,248,483,045,978,119,
120,587,779,657,295,989,951,352,693,984,295,792,316,084,923,932,595,394,593,
518,023,858,013,695,801,831,228,278,842,476,586,333,797,130,900,490,838,559,
672,255,807,596,359,894,779,208,523,921,615,625,173,058,356,025,291,397,027,
349,200,482,059,029,224,239,465,969,213,557,592,094,730,370,572,167,585,147,
916,299,957,184,968,378,573,436,613,118,398,323,478,035,958,139,733,686,692,
046,744,972,313,627,802,846,785,383,405,223,046,148,827,613,581,787,017,073,
205,440,265,625,953,343,481,334,809,593,108,381,911,330,038,628,207,464,218,
363,571,895,955,849,819,121,873,911,398,411,821,494,889,791,606,342,695,803,
406,760,521,988,308,344,955,876,911,735,536,828,691,820,989,889,603,202,414,
537,742,813,188,858,510,113,933,746,262,708,966,322,118,325,311,650,877,880,
200,172,176,361,091,404,716,704,564,268,089,169,280,263,421,790,116,107,006,
869,529,095,808,126,300,097,349,822,879,364,912,949,666,223,110,781,086,065,
132,365,316,198,737,521,553,703,507,978,763,398,782,431,550,917,033,457,301,
429,324,074,032,702,298,893,994,545,895,379,169,027,696,496,602,006,661,966,
026,895,968,261,449,093,249,253,199,152,712,386,394,044,758,034,016,567,270,
923,614,504,231,697,573,520,979,629,381,733,644,876,044,082,274,002,161,505,
271,050,875,051,708,303,836,513,897,384,649,024,889,052,542,276,760,258,886,
641,150,970,664,630,098,627,589,377,307,893,061,901,735,390,090,482,217,552,
365,505,072,335,441,643,838,015,006,953,897,737,388,533,726,436,253,176,770,
509,557,038,272,856,218,854,930,552,911,513,445,628,282,672,597,598,278,899,
469,457,481,861,927,727,882,929,914,006,553,155,443,022,035,171,936,350,154,
522,147,639,198,588,803,741,467,936,108,685,924,632,902,000,116,706,752,952,
297,070,026,454,177,837,043,375,324,603,408,466,299,314,549,154,738,667,144,
709,458,952,982,112,603,712,273,046,732,452,660,851,226,542,193,956,320,639,
523,058,254,785,525,307,928,707,979,431,348,489,164,889,363,702,085,200,150,
782,566,186,499,499,925,910,815,691,197,566,041,371,003,877,574,979,523,822,
734,812,453,697,850,353,347,292,535,718,711,654,412,267,505,849,821,067,037,
175,370,969,006,925,301,412,761,799,635,655,826,996,727,137,664,957,312,705,
114,163,554,884,332,023,638,882,391,092,889,893,593,583,639,055,860,885,585,
110,203,214,671,630,415,252,291,047,191,499,946,629,885,789,687,113,447,548,
013,246,270,992,764,712,777,490,049,387,081,135,793,520,335,576,765,869,232,
625,040,773,260,339,879,455,254,180,651,409,889,889,831,993,978,966,785,469,
362,729,963,797,182,055,795,665,306,993,940,287,691,051,554,415,477,016,358,
593,248,756,842,924,243,094,669,745,385,139,041,379,614,796,784,802,104,995,
990,028,843,275,359,872,149,060,629,957,673,669,037,374,150,204,497,410,691,
914,799,721,582,027,245,765,715,512,803,798,552,244,931,715,129,884,757,243,
869,529,808,469,412,086,846,348,324,799,331,586,181,253,395,474,571,783,486,
956,274,444,942,822,718,738,102,951,803,924,129,374,691,304,237,735,472,308,
358,439,271,403,050,796,369,765,176,937,437,962,722,744,454,519,776,117,499,
619,558,620,978,922,651,306,281,932,346,294,747,577,034,734,918,639,018,767,
958,029,806,050,033,014,144,256,197,271,930,925,128,162,497,062,030,015,913,
703,608,474,094,950,483,134,901,131,309,276,959,554,263,373,579,828,063,276,
453,791,578,769,146,014,776,616,608,390,057,276,142,027,811,333,550,372,101,
997,786,060,823,257,678,515,205,315,131,280,820,805,231,260,799,584,972,411,
322,715,220,607,449,283,985,802,726,582,387,195,442,544,751,875,819,969,742,
512,471,469,473,976,531,892,832,816,252,351,354,870,069,161,772,638,123,197,
991,284,310,527,729,692,191,238,457,373,798,185,592,661,135,371,850,607,791,
074,215,510,037,450,579,622,521,813,604,688,530,867,684,202,927,404,868,364,
449,752,092,557,627,699,134,627,143,568,179,970,394,605,815,915,861,961,608,
337,376,220,414,352,062,407,986,959,725,110,735,250,082,005,355,541,656,877,
609,959,780,255,970,882,102,188,740,898,102,067,723,029,718,342,766,312,795,
174,218,492,076,358,530,799,663,949,760,069,043,529,678,633,471,512,412,739,
353,768,090,935,264,267,693,890,495,204,916,149,193,107,134,864,664,547,995,
018,909,529,303,286,563,038,101,208,190,512,688,939,270,757,903,280,155,293,
031,535,659,419,151,242,927,452,477,762,646,260,465,396,599,441,891,562,753,
277,460,199,231,604,378,762,285,014,098,556,292,236,523,214,580,259,234,380,
529,426,597,436,725,755,482,690,602,053,872,147,558,820,744,515,159,988,095,
874,821,756,453,339,087,278,450,510,747,810,289,704,595,132,948,588,911,662,
063,894,749,391,081,376,447,208,446,480,994,769,695,609,152,492,186,154,656,
553,865,808,069,534,388,075,239,608,096,840,135,601,935,511,135,630,661,682,
349,038,947,510,844,544,045,445,149,798,590,130,260,499,697,316,924,429,896,
236,339,696,427,555,088,636,181,530,758,545,095,003,968,825,481,961,612,508,
656,632,569,778,266,113,707,258,823,815,504,647,588,549,238,452,479,661,226,
712,744,240,493,672,723,778,060,847,741,443,564,164,577,880,289,667,816,913,
274,500,143,817,713,817,860,153,492,902,874,396,772,416,816,965,563,713,871,
514,564,128,084,308,808,293,200,533,540,496,638,301,079,774,812,283,929,258,
351,280,646,145,354,654,220,672,632,488,135,108,324,899,238,393,794,589,583,
786,703,771,321,022,982,965,837,922,792,703,064,459,606,048,995,362,402,857,
177,137,209,039,137,638,075,069,977,420,058,837,147,803,240,162,752,688,035,
191,167,026,290,654,514,798,067,851,902,862,145,874,854,812,062,290,439,642,
417,704,683,791,112,362,195,445,227,392,602,999,763,657,458,305,068,794,961,
021,135,784,677,061,263,624,148,268,401,968,965,363,928,745,486,955,520,780,
550,422,925,148,000,913,104,267,448,652,455,855,010,572,782,947,794,553,292,
786,806,101,458,804,407,967,495,495,118,682,851,108,437,736,336,791,343,168,
753,019,767,123,719,245,818,490,362,024,577,926,677,923,582,746,173,969,176,
560,012,726,434,413,189,053,174,620,765,342,467,157,295,370,300,829,827,334,
975,764,629,437,586,911,917,564,768,518,022,521,319,820,573,232,840,859,050,
921,589,769,102,053,828,556,522,513,734,148,601,306,497,080,640,871,836,030,
044,665,506,103,922,841,204,919,048,936,414,722,008,574,837,408,665,233,499,
950,120,306,620,484,536,272,107,675,824,029,682,373,856,908,834,816,798,382,
044,402,612,023,749,907,849,338,500,201,529,498,599,096,874,338,493,236,894,
199,528,430,521,164,244,114,870,582,739,992,770,718,888,888,869,308,778,160,
462,203,339,207,438,441,314,000,131,873,782,103,212,757,272,551,373,477,527,
792,099,261,195,389,621,528,379,110,770,336,698,760,560,368,527,447,192,030,
772,334,811,838,975,802,077,076,497,042,519,951,967,987,019,933,356,005,644,
698,078,936,729,814,817,008,674,724,925,937,852,092,954,690,145,798,641,824,
762,521,452,970,874,600,986,445,964,176,357,959,421,720,678,804,893,606,736,
931,259,854,528,421,856,858,688,766,008,526,389,712,051,014,941,203,310,336,
264,346,407,074,384,006,743,415,813,915,271,462,079,201,779,197,768,139,397,
191,898,282,228,177,725,072,111,988,864,679,031,093,281,365,758,359,349,093,
534,589,861,978,952,038,944,205,855,392,443,708,278,901,443,097,521,976,246,
283,376,459,322,232,254,514,783,490,819,748,177,999,147,946,998,214,494,628,
020,713,045,760,308,457,928,692,238,686,100,580,340,913,929,259,856,717,413,
955,934,601,497,875,050,453,407,253,082,052,934,432,318,318,790,654,555,126,
744,335,960,377,561,156,908,207,046,491,909,160,265,002,348,352,495,353,290,
547,190,603,134,982,780,523,935,210,101,423,446,196,387,072,444,879,986,518,
591,776,825,434,319,944,675,331,643,553,724,234,227,038,498,678,949,741,170,
225,625,924,692,818,352,415,998,133,036,912,443,743,968,770,887,898,466,019,
422,666,170,287,921,709,840,035,681,363,253,753,148,365,349,033,577,782,853,
917,097,585,040,403,481,615,516,676,982,412,452,695,572,490,561,356,799,801,
556,557,478,897,637,187,336,704,762,185,725,560,524,070,777,001,844,404,188,
978,022,758,979,710,809,632,233,393,991,314,994,733,843,805,889,680,011,102,
126,889,236,271,318,206,989,582,986,836,777,142,564,258,747,283,890,104,297,
636,303,961,999,689,005,351,498,257,437,197,253,385,436,940,638,117,146,205,
696,845,936,262,551,845,247,852,773,166,162,329,039,890,922,486,693,719,693,
456,420,730,203,262,691,158,767,445,008,917,586,302,996,482,757,626,570,453,
682,418,198,383,330,856,413,018,456,675,345,535,771,305,931,345,443,226,197,
924,146,171,507,506,639,156,949,757,473,071,284,794,284,080,743,450,653,158,
109,891,594,544,987,491,847,673,905,877,447,787,100,059,984,596,421,332,404,
693,623,091,414,555,291,975,344,423,059,900,873,481,989,715,085,051,714,970,
646,483,462,620,025,072,120,391,908,305,119,995,711,475,777,051,858,216,558,
984,929,440,773,155,626,573,949,848,460,195,158,545,899,113,286,449,830,816,
187,300,234,991,682,036,619,205,010,042,450,832,469,708,517,079,988,613,295,
383,511,459,870,087,627,222,092,067,344,051,048,199,420,083,699,775,474,063,
878,358,029,734,262,217,296,278,745,812,326,350,664,268,647,301,174,435,912,
744,359,450,214,669,549,482,518,881,999,719,196,555,637,136,443,191,651,218,
738,171,236,273,689,842,250,767,328,408,287,175,727,151,266,812,584,019,670,
298,117,482,350,086,809,208,513,687,911,364,641,686,783,385,395,655,645,437,
376,850,427,739,637,689,039,042,467,700,987,805,913,344,089,046,654,221,116,
104,267,172,583,335,071,536,292,046,054,151,233,413,259,148,923,331,224,837,
854,622,820,774,825,999,504,751,930,152,353,124,397,679,771,462,469,246,569,
446,799,324,919,603,230,753,214,860,830,297,617,795,914,909,495,943,128,633,
585,031,022,335,365,678,295,487,513,689,376,033,901,018,504,341,332,693,437,
934,524,123,026,114,401,843,840,683,733,439,106,355,103,096,863,766,773,808,
453,175,877,601,064,358,862,890,319,454,600,051,691,751,416,378,879,053,579,
207,606,780,064,711,653,553,196,216,590,003,237,010,115,111,532,582,263,846,
785,619,561,797,313,201,888,988,657,632,745,256,960,255,861,416,345,562,612,
719,970,212,895,172,470,243,273,861,156,900,956,181,233,343,544,080,080,670,
762,345,177,690,381,748,963,677,487,723,075,097,330,571,290,770,423,263,115,
460,431,766,447,454,184,951,272,962,563,480,335,539,572,765,615,057,993,444,
543,770,545,154,952,174,135,135,075,010,263,236,743,117,504,463,742,035,773,
569,828,868,324,236,553,011,977,459,794,881,042,360,959,650,138,003,803,244,
300,271,090,393,845,278,687,514,587,542,256,927,667,493,825,424,095,303,016,
804,079,025,411,889,727,962,954,300,384,192,391,164,811,600,827,040,129,680,
759,924,101,504,145,892,900,476,654,823,408,124,284,943,595,255,911,267,577,
558,826,391,456,137,061,946,458,198,016,765,719,175,940,330,387,336,457,272,
462,111,240,456,133,078,914,973,766,549,420,713,754,365,979,394,726,061,423,
098,537,318,534,730,199,008,273,865,839,408,297,406,456,703,073,233,724,865,
388,244,113,806,677,509,020,399,915,444,220,785,038,940,330,287,378,224,718,
275,328,834,841,444,174,586,305,865,606,859,153,916,459,751,920,123,061,194,
778,923,060,164,530,113,236,530,050,770,815,548,807,373,282,231,281,846,691,
879,209,330,576,461,267,794,587,344,582,414,100,328,989,363,190,354,675,822,
009,858,149,689,061,391,662,835,409,553,753,717,592,836,225,469,394,888,353,
966,451,220,917,894,602,628,081,347,510,168,198,780,573,382,745,164,458,394,
987,312,138,288,283,560,429,478,753,499,877,401,468,432,550,716,274,166,360,
279,812,014,896,903,999,032,963,167,779,887,222,956,458,385,751,462,984,633,
298,403,610,429,702,665,217,693,714,223,601,164,641,157,137,688,232,620,537,
644,028,687,308,425,273,191,374,009,844,503,688,628,108,900,975,809,506,953,
807,037,849,929,769,759,914,667,487,341,582,198,041,574,135,172,896,020,176,
271,532,424,468,176,685,647,979,528,336,371,518,505,061,753,815,221,788,666,
935,190,799,677,307,044,287,045,243,084,454,494,283,638,676,447,890,552,696,
357,269,294,932,809,011,546,455,420,636,050,892,515,462,460,714,643,036,495,
522,131,876,622,250,468,021,408,844,603,668,904,285,036,628,340,996,147,423,
168,900,780,296,280,163,383,693,090,003,610,875,548,248,204,149,025,178,163,
745,876,626,852,011,891,774,592,653,179,415,311,871,478,030,780,741,311,121,
207,784,973,822,727,935,939,567,034,958,178,831,058,955,382,246,056,377,586,
206,704,259,724,523,357,400,154,343,431,658,604,894,072,270,714,188,303,814,
216,031,600,951,010,475,587,160,452,531,045,496,112,788,543,654,492,565,059,
946,179,229,147,646,770,534,724,925,037,282,437,208,021,520,183,421,376,127,
231,985,779,174,555,304,413,327,737,190,628,177,398,392,421,519,259,856,638,
069,233,938,602,830,253,852,265,771,785,706,303,652,836,995,339,785,345,063,
267,031,498,244,964,135,219,052,163,231,084,957,285,384,552,525,059,534,214,
325,571,146,845,415,114,712,698,403,610,717,218,057,730,628,370,120,593,022,
421,133,562,171,050,470,665,663,682,075,750,965,520,482,141,801,512,592,228,
105,663,847,181,012,163,540,355,302,561,120,929,656,805,002,942,420,438,249,
925,603,040,601,600,395,768,874,013,135,709,776,506,749,788,292,705,003,123,
271,343,769,433,518,880,025,026,336,392,992,712,817,496,674,784,866,262,960,
097,029,990,110,847,430,200,116,510,692,740,897,736,078,645,010,570,525,678,
863,000,433,753,116,018,571,058,685,497,591,449,650,656,882,615,496,014,276,
727,172,316,592,829,713,388,014,343,069,436,846,572,665,662,432,712,661,078,
924,158,099,443,421,237,743,834,737,665,251,859,549,838,371,935,917,599,995,
756,614,727,187,319,814,020,223,561,544,087,736,378,458,201,568,276,330,879,
917,325,834,279,847,743,820,813,059,115,285,516,689,554,147,401,173,635,039,
961,206,974,744,354,793,703,839,443,813,776,000,481,421,699,675,262,398,893,
790,080,493,134,202,884,163,827,204,512,105,298,395,819,821,226,363,358,935,
394,216,448,197,475,091,535,715,933,101,182,180,666,689,164,318,621,510,608,
128,093,060,672,788,708,062,606,615,297,843,019,439,437,743,417,866,947,447,
029,652,104,310,492,418,789,516,362,740,093,671,706,574,721,236,089,380,103,
904,104,693,409,573,244,256,742,556,381,452,754,236,334,242,723,680,877,074,
914,810,681,681,144,027,457,340,437,047,336,093,253,001,018,827,634,091,754,
273,678,545,863,927,810,826,434,975,326,309,619,149,334,281,324,801,831,615,
114,723,801,811,748,491,969,512,062,476,921,500,463,445,461,821,088,365,829,
056,292,661,765,227,242,084,391,126,744,117,981,036,513,945,300,793,623,488,
415,878,017,895,687,292,227,017,879,812,047,041,204,235,782,964,532,684,404,
948,459,179,212,477,683,160,555,070,224,137,260,316,853,433,357,289,275,788,
019,155,908,491,764,923,903,169,006,592,879,977,306,404,340,434,492,154,462,
761,946,479,767,266,216,045,775,639,355,819,218,632,116,626,847,692,512,127,
642,212,597,635,839,380,130,260,969,162,863,431,102,920,831,273,537,792,792,
906,649,881,527,363,555,134,288,518,022,016,406,402,018,547,897,525,416,756,
954,445,574,821,223,629,701,363,116,202,887,052,687,532,287,671,805,329,195,
323,231,535,975,137,399,389,847,806,479,191,181,816,841,696,664,262,254,667,
873,593,455,015,458,203,855,691,475,887,821,213,785,353,905,943,728,513,823,
672,926,265,067,640,775,224,510,116,128,268,354,160,729,045,311,229,008,556,
725,137,818,665,546,620,799,042,884,881,197,458,097,013,883,983,166,494,278,
792,322,626,038,814,026,971,627,936,678,781,883,492,260,480,542,513,439,322,
922,411,043,750,703,518,846,009,485,344,026,765,090,329,848,958,483,820,952,
757,675,614,877,718,138,541,147,516,251,490,100,595,422,683,463,188,151,691,
519,075,546,231,674,722,375,540,703,320,514,580,874,956,575,324,416,162,365,
559,805,003,275,686,934,412,624,484,322,586,643,560,785,842,103,508,344,545,
370,660,276,569,444,618,995,743,038,295,484,703,419,091,879,849,472,222,044,
106,931,421,214,396,874,610,968,072,266,315,786,289,899,614,387,407,025,065,
711,479,774,882,339,974,251,870,968,972,073,558,809,107,119,304,040,503,665,
386,531,631,111,561,168,311,046,759,041,684,559,002,660,415,038,961,331,612,
010,370,074,278,731,500,928,401,238,011,837,640,600,568,090,587,663,112,231,
311,393,602,977,901,967,368,797,509,034,365,243,213,266,535,498,829,017,156,
297,466,911,892,461,911,666,040,406,012,073,971,171,286,677,847,070,704,696,
635,272,533,294,897,601,186,758,642,873,164,423,575,659,181,601,695,517,124,
987,027,668,475,111,220,844,592,710,664,276,244,130,168,665,875,030,936,994,
587,549,639,405,888,819,965,147,539,457,179,311,341,574,201,892,141,281,003,
370,294,780,517,041,677,068,836,347,255,032,930,608,052,363,102,641,518,205,
470,258,424,187,701,409,221,854,257,787,278,978,329,730,920,911,924,651,537,
455,870,646,798,689,755,319,007,507,627,018,905,839,986,728,693,047,670,232,
497,243,019,199,515,077,145,229,829,716,496,150,297,312,076,108,681,111,635,
484,921,065,556,157,996,354,763,428,596,776,567,129,789,596,361,169,133,931,
916,106,299,566,974,256,126,405,027,529,626,912,303,299,687,887,479,017,544,
194,702,215,215,855,515,547,885,761,003,350,893,915,438,001,547,976,996,427,
943,235,960,077,469,622,698,929,508,092,961,621,670,176,517,670,512,121,065,
451,719,465,009,624,302,321,564,392,518,182,868,495,104,763,826,876,687,499,
558,920,137,543,170,873,145,737,166,323,292,514,763,808,419,913,084,967,702,
966,133,215,509,012,676,259,873,903,162,428,657,453,666,568,687,552,166,125,
930,510,139,489,036,321,150,269,898,268,229,162,270,607,444,481,347,161,523,
512,257,970,200,211,556,649,877,239,361,389,557,338,397,683,958,352,538,016,
326,166,795,521,447,915,470,605,192,407,650,603,075,750,117,581,372,028,930,
896,942,431,953,098,670,441,863,233,719,324,881,040,537,156,764,765,441,543,
163,352,012,838,134,141,916,426,515,631,439,878,360,461,529,516,607,419,460,
429,061,998,382,121,129,247,169,567,260,544,345,487,356,316,806,516,467,219,
703,558,227,614,331,174,417,624,501,638,549,651,324,025,483,296,922,917,439,
241,190,457,544,588,650,578,925,808,383,819,969,884,483,392,349,358,163,109,
642,271,667,303,981,226,043,236,604,234,736,791,228,812,548,947,285,020,384,
319,173,381,904,243,905,508,058,572,781,265,277,426,282,315,672,025,577,837,
605,481,109,858,667,617,099,579,428,466,542,647,200,149,835,671,813,217,381,
511,874,633,255,376,562,065,873,227,240,796,708,648,027,240,636,389,670,541,
936,589,651,403,063,819,360,292,720,068,798,471,863,372,227,939,618,131,256,
504,178,187,492,296,575,969,797,209,693,820,801,933,722,014,800,775,688,870,
498,190,231,315,799,466,834,034,219,275,030,936,414,011,639,030,598,180,648,
554,824,152,513,353,363,170,723,249,117,031,882,910,010,290,799,467,685,866,
250,272,544,426,868,213,048,372,076,596,935,523,029,687,395,290,895,034,423,
304,436,689,629,765,677,674,803,159,866,790,788,427,051,468,034,346,312,890,
613,517,189,137,144,394,791,594,788,565,869,552,211,576,059,999,517,533,838,
126,993,411,854,878,449,544,044,007,890,137,718,830,529,509,336,949,229,114,
926,455,587,934,349,862,603,145,985,040,523,661,775,390,779,096,160,494,772,
581,534,273,629,047,206,483,732,129,130,883,953,160,772,173,930,366,836,910,
354,891,174,686,292,751,237,621,948,233,243,131,861,257,241,792,212,586,928,
274,798,646,054,202,840,881,335,815,849,387,335,207,625,084,989,174,915,422,
195,689,294,149,884,314,858,395,894,768,360,136,839,068,437,000,071,310,875,
996,392,737,117,760,524,267,731,282,046,484,316,967,528,248,841,821,728,419,
464,155,263,022,870,542,804,479,628,229,536,119,292,622,921,178,748,183,667,
563,067,685,614,144,644,504,730,538,817,707,586,759,530,730,309,026,711,162,
082,052,398,691,128,542,566,974,249,120,738,562,679,176,479,648,963,098,589,
343,519,765,064,159,220,119,755,402,432,292,148,992,682,634,924,096,302,847,
291,150,950,409,589,306,044,391,224,607,473,537,534,190,843,360,844,970,761,
728,870,535,595,740,643,860,059,430,671,015,223,150,645,199,628,852,719,031,
620,968,231,929,992,975,542,087,533,025,236,470,893,592,762,215,813,192,654,
222,076,211,906,453,028,405,455,225,541,268,372,714,437,689,534,866,787,416,
437,856,392,806,125,147,672,392,089,366,047,151,478,129,680,111,339,674,225,
882,179,843,580,464,827,885,435,157,760,834,673,028,861,628,888,106,923,488,
234,287,137,057,922,540,372,629,149,951,945,427,175,867,122,209,596,428,046,
442,388,722,552,590,877,846,284,615,048,708,057,424,468,477,178,309,623,515,
410,624,999,638,820,764,822,492,161,619,634,513,738,515,796,410,483,977,133,
633,239,459,915,031,775,288,680,804,044,127,018,092,752,238,591,580,726,125,
861,594,751,035,388,140,210,412,226,644,167,760,233,204,495,366,901,287,343,
955,392,364,855,343,852,326,501,313,580,245,011,542,871,770,642,800,246,276,
266,429,124,075,647,996,472,789,426,021,459,024,850,774,507,844,062,753,630,
635,225,026,752,856,723,168,612,171,970,350,027,849,912,960,137,074,408,316,
948,819,522,082,273,792,404,145,616,840,674,786,191,442,811,295,890,054,862,
140,460,890,321,375,382,008,388,338,279,488,357,615,631,000,239,829,553,257,
730,254,159,547,281,985,996,504,046,562,301,605,448,390,504,493,754,824,363,
944,255,533,006,038,079,562,217,235,712,766,028,297,209,716,465,444,461,123,
731,002,578,013,631,536,198,686,210,947,442,949,659,543,391,816,834,168,424,
699,428,053,279,382,275,551,949,993,335,747,271,033,179,554,911,728,204,422,
699,516,416,958,269,629,753,613,594,970,450,479,934,540,521,798,834,780,854,
686,962,806,771,257,975,603,143,046,072,706,223,365,666,608,557,637,921,346,
776,768,118,743,121,431,515,165,461,685,723,065,919,566,330,484,821,867,020,
948,946,169,265,051,962,501,527,841,936,265,209,298,909,784,387,662,323,497,
277,134,983,558,483,049,020,844,669,890,284,667,070,474,970,773,386,496,127,
143,555,909,038,299,701,482,914,768,109,544,966,760,320,471,814,025,378,492,
165,730,668,012,025,821,464,493,915,966,037,014,734,170,086,433,413,431,973,
859,437,216,798,776,070,218,237,759,669,351,408,756,377,397,499,765,962,263,
233,579,515,261,118,007,880,162,215,420,329,961,966,182,885,854,400,291,788,
144,433,651,414,034,008,802,961,669,507,481,308,139,089,534,713,376,772,316,
105,331,506,321,055,948,401,296,640,418,102,976,613,772,268,207,624,003,420,
981,833,974,293,677,525,364,174,266,957,411,264,927,413,040,043,233,426,772,
391,822,547,726,507,554,356,964,080,471,659,302,627,866,459,313,522,264,273,
930,118,175,033,631,548,633,033,257,553,553,882,541,688,832,392,441,100,706,
467,946,411,270,731,305,752,704,439,119,085,792,060,481,155,930,321,603,519,
548,563,738,003,566,422,340,139,790,002,350,820,010,100,616,342,737,876,198,
894,151,046,923,139,173,405,262,788,243,914,491,647,200,694,379,744,105,223,
864,374,436,568,068,837,982,240,429,078,697,972,672,194,719,203,084,836,745,
286,944,476,408,207,081,042,167,581,781,790,987,652,451,409,048,221,329,608,
755,959,556,426,978,020,689,316,519,613,117,655,108,284,847,014,075,377,332,
215,529,186,372,262,166,851,372,013,466,995,718,741,015,477,005,842,763,422,
529,676,640,855,323,909,639,464,155,436,428,183,468,709,385,182,518,154,093,
002,991,860,040,316,965,282,129,718,815,773,426,200,488,580,891,247,137,759,
486,418,302,308,469,764,315,954,068,054,331,058,140,280,127,682,096,111,512,
009,942,811,518,973,047,643,430,285,004,519,322,837,196,440,523,400,857,557,
343,469,464,219,462,615,925,798,344,144,199,356,318,068,388,925,970,746,690,
487,034,311,922,601,096,599,407,362,215,424,207,482,141,026,096,211,111,889,
699,772,170,505,899,697,618,664,285,838,420,989,176,244,489,975,933,060,935,
752,677,625,299,684,971,237,088,008,564,577,108,854,157,651,162,826,837,090,
988,320,555,452,321,181,067,071,383,455,711,957,207,486,885,405,866,016,861,
904,294,547,031,056,149,922,641,339,704,194,597,126,171,765,165,181,768,630,
520,231,164,239,407,041,202,770,904,529,905,571,304,334,650,245,303,424,537,
052,564,185,695,464,412,712,733,699,955,714,243,427,890,163,737,704,462,149,
310,603,871,500,879,420,625,967,959,423,010,885,627,678,334,973,019,618,805,
368,604,239,631,853,133,563,442,697,676,680,838,430,217,321,714,027,987,052,
995,292,379,069,780,657,801,295,648,570,279,965,303,112,997,048,817,109,789,
752,152,176,980,575,411,011,132,177,304,967,441,976,226,615,395,252,057,843,
281,244,345,047,061,015,886,344,571,504,431,145,571,189,936,001,302,874,382,
967,486,675,556,383,904,141,738,394,269,185,028,223,563,257,763,457,728,039,
496,639,497,671,764,604,051,288,951,357,437,455,281,623,438,703,304,010,173,
516,051,825,652,815,804,834,839,864,809,765,188,363,978,564,364,457,044,238,
617,793,633,556,601,610,604,964,046,861,295,940,814,221,649,415,621,375,522,
552,813,671,071,181,211,207,593,281,154,639,433,467,156,830,503,377,809,309,
189,400,229,064,570,477,026,930,966,431,913,145,637,917,045,225,339,894,208,
093,698,914,511,174,590,240,562,934,020,592,827,778,325,546,759,109,013,623,
870,067,044,039,789,494,289,065,242,228,903,178,436,528,776,702,483,701,851,
526,442,545,941,935,597,466,286,945,696,557,927,340,106,609,390,472,962,764,
672,197,040,484,643,523,966,135,017,719,265,247,561,372,130,338,058,081,222,
969,766,974,615,958,865,772,755,125,492,655,347,336,894,407,782,366,450,282,
191,216,919,345,415,780,838,026,780,983,438,859,599,098,314,634,443,954,917,
461,620,877,320,256,746,468,877,726,817,113,751,448,205,793,648,129,642,425,
592,422,999,431,568,230,993,889,732,017,773,027,209,651,923,613,900,569,173,
391,761,641,672,087,511,266,680,762,604,818,145,630,278,324,819,001,466,863,
310,367,148,680,102,308,485,578,932,453,717,518,872,696,401,291,613,026,405,
894,416,074,209,029,118,466,968,455,382,311,681,696,896,578,031,941,446,111,
748,704,368,429,224,067,918,714,031,279,112,965,351,808,964,420,095,153,411,
501,283,023,423,959,057,413,404,435,046,532,974,988,044,781,389,251,539,402,
032,687,559,699,342,955,681,920,285,665,522,148,451,019,862,486,554,115,938,
297,914,649,007,336,790,622,169,486,144,057,989,116,309,090,279,944,472,853,
238,795,618,666,847,655,492,628,464,059,476,939,086,140,114,761,310,028,597,
523,061,183,598,848,437,101,872,506,443,512,831,520,157,182,392,460,680,826,
914,248,144,172,527,579,838,541,711,248,694,682,314,740,453,987,205,665,581,
424,552,855,851,543,398,243,867,144,627,395,670,316,949,908,981,886,669,293,
713,788,814,144,883,446,551,687,415,654,719,887,055,282,464,296,755,061,048,
218,993,427,970,389,958,030,596,134,904,590,594,611,184,296,800,439,062,830,
802,049,697,392,621,302,782,134,414,312,757,555,372,141,871,201,246,678,816,
052,905,511,348,881,256,296,781,177,426,458,823,131,392,478,008,211,402,492,
547,104,027,571,084,338,892,941,353,982,774,063,983,953,334,491,078,157,601,
465,376,021,595,267,026,186,946,091,226,387,320,113,115,255,274,021,802,478,
536,739,604,244,633,010,864,292,101,012,944,542,431,918,661,018,717,591,563,
257,609,336,098,361,481,974,326,502,638,585,053,878,336,244,943,346,730,179,
024,969,199,399,030,923,971,845,945,667,728,906,624,743,872,710,859,319,916,
576,295,940,113,633,099,974,278,061,603,901,628,199,742,317,752,673,832,606,
882,442,453,819,167,533,205,099,761,824,470,334,029,861,575,920,810,763,979,
500,852,145,723,433,504,540,276,371,818,179,045,307,859,416,925,845,640,660,
421,294,922,406,158,200,477,051,164,670,900,642,537,209,432,397,151,133,481,
698,077,730,900,538,101,441,708,815,966,159,169,077,546,939,970,447,664,746,
838,599,616,754,234,107,774,583,507,848,405,393,659,516,925,878,417,499,760,
015,075,379,708,216,790,475,400,056,180,568,943,232,732,633,373,664,249,538,
601,210,686,230,201,439,062,538,861,383,369,125,871,620,475,821,673,724,871,
252,352,882,696,808,856,795,349,650,754,886,166,789,978,083,395,308,367,951,
614,239,509,107,852,627,624,643,897,176,748,551,330,704,562,492,640,588,819,
719,483,491,592,032,097,940,922,574,136,674,149,901,516,104,623,445,715,666,
586,378,092,501,253,597,882,683,251,630,026,372,209,866,953,956,647,224,662,
772,549,589,173,827,496,213,495,472,492,318,586,676,186,783,674,791,201,028,
768,543,799,083,596,700,545,302,817,962,529,012,266,773,983,846,800,686,472,
297,438,023,657,424,608,851,720,521,054,697,781,612,746,301,749,246,432,211,
935,189,252,464,997,465,766,349,139,519,993,425,813,765,670,268,832,444,948,
809,958,801,338,320,456,190,183,553,799,704,004,182,724,758,048,828,304,198,
032,175,899,848,873,578,518,675,445,375,497,286,661,948,623,781,396,213,635,
002,438,467,845,713,595,926,466,964,362,952,944,145,095,402,696,467,029,641,
783,778,657,272,834,738,112,514,910,669,076,383,046,330,017,633,182,331,522,
668,647,536,553,442,009,730,057,117,731,222,838,883,083,234,186,745,333,649,
093,986,753,365,710,712,937,984,103,034,217,528,196,098,754,282,559,686,679,
405,816,063,990,828,206,576,346,941,513,786,984,717,637,672,943,656,607,502,
328,920,412,352,464,540,440,285,403,863,205,001,327,922,020,784,973,462,484,
072,525,556,618,088,688,317,024,852,979,734,536,865,605,042,216,126,673,168,
859,906,789,194,573,184,257,099,565,089,791,465,808,000,388,754,184,600,838,
482,412,965,327,193,976,555,455,483,023,932,135,935,698,237,437,894,753,921,
235,886,283,724,805,141,113,883,456,625,056,556,085,531,770,580,711,805,167,
731,081,387,278,787,315,859,312,341,938,158,740,258,849,328,155,969,901,060,
516,863,430,450,134,055,665,899,684,511,318,352,164,021,948,150,761,999,675,
342,531,914,743,116,053,809,496,825,522,679,213,217,320,006,606,352,615,668,
601,101,284,689,651,662,958,815,445,497,274,114,084,050,306,787,667,689,539,
609,973,542,359,545,537,222,857,078,645,417,029,977,071,694,033,669,083,208,
641,460,235,282,384,809,388,958,701,165,489,095,870,662,625,143,951,498,856,
690,939,330,369,301,650,753,159,191,336,577,923,649,428,088,717,425,830,287,
224,423,087,872,768,886,879,770,697,699,417,339,480,124,117,673,409,109,263,
304,942,724,003,816,367,925,518,750,108,614,750,631,688,319,635,771,372,568,
093,039,472,098,401,759,039,922,830,198,242,653,149,964,221,653,980,185,651,
616,767,456,571,381,865,835,414,736,777,949,674,302,742,019,618,783,768,643,
571,477,733,011,636,461,148,032,641,037,225,523,739,835,754,740,247,239,859,
100,146,269,461,994,239,001,517,334,617,609,609,322,017,457,012,578,503,048,
276,760,544,625,436,546,265,270,139,324,360,065,927,608,318,666,877,250,911,
036,762,320,868,154,399,459,663,047,929,103,686,615,368,550,533,497,783,227,
400,201,539,477,035,978,917,430,053,459,159,978,421,744,145,053,665,559,983,
695,276,318,567,008,492,113,817,964,901,543,391,319,064,922,327,996,373,289,
704,663,832,305,621,149,443,595,931,386,600,567,695,242,577,489,038,785,090,
394,499,623,754,083,219,597,956,687,224,292,918,300,271,393,765,595,065,706,
718,879,486,232,920,792,267,335,152,292,482,815,873,444,509,248,053,143,580,
911,616,279,591,637,492,534,243,090,560,764,433,539,330,736,652,890,551,081,
136,188,213,688,666,780,075,655,764,500,955,049,516,006,944,628,938,893,977,
077,904,213,747,646,785,131,018,207,428,191,099,136,079,113,263,879,209,813,
518,083,428,054,333,201,494,727,422,096,467,718,073,656,895,308,499,653,820,
509,955,326,797,408,522,465,758,431,324,873,486,546,798,886,248,039,294,405,
968,249,695,283,246,305,083,300,713,351,996,668,364,740,743,309,343,972,538,
587,293,832,881,396,305,942,956,560,885,796,351,907,147,218,930,983,195,446,
956,576,890,790,848,947,767,319,143,150,800,629,901,488,589,633,225,237,884,
183,676,605,587,393,117,083,158,701,249,276,536,985,000,506,752,814,665,332,
622,803,692,353,238,258,054,080,535,226,314,631,734,197,331,571,156,039,862,
313,815,390,389,509,941,207,536,362,745,997,223,746,404,617,505,687,149,348,
811,917,277,234,244,238,362,357,865,698,977,751,294,030,722,473,469,407,064,
268,516,584,109,092,386,005,127,910,363,704,325,717,391,230,447,441,604,783,
027,195,250,892,502,247,542,645,314,663,569,318,357,915,734,991,395,868,639,
324,750,245,698,822,910,463,677,581,051,085,473,569,572,100,947,701,361,708,
062,773,262,932,881,229,515,838,592,819,889,069,095,011,423,122,501,065,336,
535,616,310,596,171,566,057,694,744,824,927,285,286,749,897,462,486,156,509,
990,693,593,002,643,020,641,306,692,732,742,473,074,615,370,236,119,786,591,
849,439,831,658,294,973,194,069,703,001,331,797,220,162,758,506,919,808,258,
795,847,618,909,526,816,625,249,962,738,159,967,058,368,345,991,052,242,629,
498,816,627,247,384,371,911,651,129,710,131,123,322,247,895,509,430,174,668,
357,979,799,365,494,632,541,132,143,054,663,413,312,874,474,849,415,853,593,
903,682,598,419,008,713,920,385,736,390,929,313,248,173,707,952,005,619,366,
965,567,493,717,482,779,771,711,546,111,906,551,534,462,298,016,220,495,594,
563,669,332,876,852,823,408,255,776,775,264,290,354,653,030,191,322,411,123,
309,072,710,414,814,550,619,199,569,533,303,587,633,550,108,484,692,575,357,
928,173,455,545,532,300,023,106,466,535,891,477,435,167,537,742,598,661,111,
049,080,437,507,631,007,870,922,895,006,366,178,156,700,079,213,440,711,180,
639,221,406,621,413,723,528,531,760,223,723,700,779,220,345,275,132,948,753,
841,288,690,055,940,607,415,488,880,177,808,479,196,733,044,326,356,567,741,
760,657,882,250,483,499,687,137,541,896,299,799,802,316,792,690,463,259,444,
427,151,452,088,047,702,785,941,679,536,051,026,840,514,525,608,827,452,834,
147,998,582,124,409,131,618,518,795,904,689,422,718,971,561,611,851,938,167,
753,121,172,669,855,606,703,410,773,116,880,121,122,836,853,262,196,589,836,
176,128,746,327,791,428,556,816,211,895,623,127,444,536,844,100,326,280,889,
018,037,769,233,270,053,668,224,447,150,221,064,740,106,185,133,104,257,620,
029,329,472,537,451,274,934,261,158,188,453,266,058,825,304,108,170,223,069,
459,082,459,352,362,537,089,097,043,819,739,784,378,363,159,283,326,415,102,
467,655,414,237,001,590,494,577,587,086,161,480,795,507,553,968,399,752,917,
798,042,599,201,933,565,005,599,574,151,111,016,219,101,711,597,615,581,393,
600,435,197,087,591,954,357,218,150,515,564,133,314,495,979,126,551,128,487,
040,222,060,877,330,311,180,781,436,308,085,512,128,460,674,997,502,020,177,
896,954,486,719,798,502,321,564,886,138,550,361,090,175,930,362,332,527,957,
081,485,277,235,746,964,456,636,216,397,463,368,752,841,477,175,165,119,865,
931,727,415,321,065,397,273,088,209,803,025,993,833,760,772,751,857,050,642,
356,605,908,937,692,216,127,417,658,862,052,248,233,268,639,277,053,779,270,
626,437,653,756,301,141,388,485,812,770,493,503,660,870,507,393,893,725,687,
376,835,283,882,884,025,339,809,962,718,974,309,049,702,142,860,507,269,133,
336,573,278,158,585,866,583,914,137,133,704,898,005,653,777,471,389,816,906,
561,914,621,030,201,493,539,229,014,341,087,563,157,559,167,777,249,849,951,
316,280,617,567,993,234,258,559,089,525,532,080,861,496,973,157,606,406,078,
198,605,978,777,652,714,035,702,228,752,775,569,712,465,606,212,529,099,983,
685,899,983,538,026,936,922,619,897,321,198,636,167,881,621,241,275,019,887,
736,776,496,542,813,148,633,925,687,549,575,154,762,064,493,249,917,174,465,
928,989,443,470,100,895,214,588,117,675,379,747,616,328,590,937,816,757,839,
970,736,438,780,603,225,596,378,497,192,534,677,911,621,834,256,008,907,407,
276,097,024,972,470,430,745,168,909,463,380,346,515,129,253,196,412,308,558,
833,112,045,890,458,960,526,129,718,965,379,898,244,108,174,021,076,710,784,
427,565,114,049,430,577,012,346,613,896,987,111,017,659,339,194,441,456,117,
092,458,304,957,280,868,777,331,356,737,871,630,455,926,049,306,874,153,835,
074,504,840,317,691,672,620,954,475,980,507,022,441,606,069,754,865,853,493,
353,604,989,364,208,455,078,385,362,565,804,608,528,316,238,430,119,453,339,
090,291,462,040,429,154,210,377,177,888,125,164,796,540,819,808,579,080,250,
112,148,874,690,603,479,163,037,475,938,059,691,685,390,756,373,095,732,236,
753,934,907,073,756,191,588,407,760,011,574,896,725,183,644,359,005,253,727,
497,809,215,122,014,911,732,951,833,741,014,763,956,231,588,640,696,831,151,
598,209,208,076,408,246,571,816,048,357,231,475,690,092,397,432,699,419,904,
667,857,796,303,420,566,685,776,082,291,008,225,702,591,167,037,750,255,142,
574,571,553,323,038,955,913,362,135,958,569,313,140,047,802,736,158,459,655,
341,563,209,171,678,207,792,484,225,149,271,229,885,245,700,278,770,322,791,
435,201,996,329,245,141,266,134,478,581,383,549,866,396,461,998,211,283,155,
236,094,014,395,426,316,155,094,347,247,892,745,488,068,265,109,578,426,167,
588,885,483,108,728,066,391,223,064,606,167,218,844,670,414,739,184,719,823,
302,391,627,673,615,878,230,449,461,747,720,709,364,821,797,449,405,917,615,
065,848,068,513,446,925,194,529,890,362,676,338,109,859,213,402,171,701,418,
181,536,621,273,882,949,911,196,570,509,688,750,784,642,944,163,595,273,870,
239,512,061,008,859,280,881,664,479,978,159,355,756,638,797,248,231,076,624,
229,430,085,258,984,835,237,401,998,984,638,220,732,153,854,535,353,923,013,
590,637,758,324,216,874,003,031,591,175,041,704,753,065,263,679,605,356,743,
664,892,042,148,073,380,991,851,859,023,818,791,098,550,403,418,382,960,452,
548,120,683,951,156,543,688,892,517,463,215,141,265,461,503,147,271,782,068,
477,397,439,452,371,796,623,517,522,505,740,535,515,586,347,596,359,476,383,
883,533,314,195,027,321,076,934,727,651,614,605,889,876,023,342,730,509,997,
250,350,311,198,714,136,404,184,989,097,843,060,712,122,760,163,278,969,479,
019,467,434,601,666,355,008,612,645,569,957,830,241,075,070,001,022,230,210,
176,325,385,348,439,708,393,077,458,979,887,330,179,104,687,627,207,902,867,
844,118,092,806,782,772,535,093,553,184,473,554,753,151,540,653,640,527,159,
652,631,438,615,418,536,513,077,556,269,925,194,560,599,745,366,320,455,530,
720,520,393,073,293,386,307,124,988,392,479,722,961,024,143,279,718,360,234,
707,576,787,887,630,302,729,217,157,144,469,676,807,673,734,163,623,548,651,
882,808,998,933,425,190,136,880,169,597,828,914,711,697,074,718,553,415,278,
231,529,713,132,918,729,696,727,909,258,256,088,492,263,305,525,403,647,370,
972,221,983,424,840,505,190,881,456,990,749,378,345,660,122,067,275,530,887,
376,974,748,587,369,903,427,832,779,799,547,810,615,092,927,752,274,573,208,
893,778,200,686,418,037,972,009,963,934,639,215,080,096,903,182,069,962,788,
278,658,693,392,757,162,063,359,180,768,803,356,401,470,648,769,510,748,151,
279,054,400,970,657,651,390,488,415,475,044,235,143,763,209,836,268,864,729,
350,675,716,816,072,675,228,058,808,576,450,242,870,332,284,788,409,266,413,
971,167,939,309,344,695,123,843,447,967,536,619,817,405,613,791,969,818,591,
587,193,167,227,840,604,137,251,808,282,663,466,093,474,995,849,463,785,874,
268,015,919,578,271,117,654,946,241,297,346,905,890,651,600,071,533,057,883,
529,432,217,182,088,782,477,226,209,770,853,478,185,518,250,175,662,102,512,
623,132,071,144,566,069,724,317,962,757,043,780,451,093,808,830,248,917,746,
046,377,802,032,586,937,771,077,035,779,819,154,435,579,722,763,053,774,524,
634,686,314,825,785,768,878,440,598,554,492,750,153,338,098,296,849,050,155,
052,832,199,241,178,195,996,210,301,130,355,988,511,747,673,350,380,932,081,
024,458,656,378,370,996,318,597,267,678,271,525,619,736,035,867,657,616,803,
402,684,997,350,936,712,546,578,431,226,676,079,471,846,913,233,795,985,838,
177,762,779,209,654,548,817,218,765,360,582,327,405,472,175,843,966,725,906,
285,545,266,542,957,748,970,736,617,386,157,370,478,989,076,155,536,668,858,
676,181,940,775,398,697,767,264,303,268,878,519,003,596,776,387,676,702,434,
278,079,059,451,267,966,568,690,907,598,623,051,584,782,383,686,269,580,964,
914,176,324,135,202,600,771,980,797,496,241,549,458,322,871,637,885,535,821,
502,137,525,171,841,130,703,926,908,755,692,381,161,279,822,905,836,318,932,
416,930,895,706,091,405,350,936,412,709,507,554,942,030,626,487,193,781,496,
741,578,234,325,997,676,027,876,936,044,224,015,229,191,748,981,932,535,403,
396,451,626,732,961,009,182,473,598,666,557,456,636,906,506,933,478,149,770,
504,118,382,105,172,221,369,610,245,598,160,727,382,259,444,101,373,180,302,
690,032,008,304,387,493,949,159,151,690,820,225,994,726,601,716,007,398,803,
064,376,769,260,382,668,781,628,417,049,924,705,027,806,554,484,194,572,140,
994,634,528,025,531,535,912,386,743,891,249,855,813,389,432,783,955,854,440,
337,518,244,855,248,495,582,113,566,559,786,441,611,951,079,062,688,238,510,
068,154,118,860,336,532,607,799,266,389,477,598,512,707,088,043,024,464,382,
457,607,317,717,572,044,385,915,566,985,793,428,016,126,180,927,643,321,068,
887,477,209,605,375,736,213,508,795,872,706,501,278,999,621,708,604,343,713,
845,086,739,948,028,347,537,589,527,100,660,792,616,948,545,383,461,384,697,
993,754,542,144,911,781,317,902,819,113,345,079,520,860,978,580,731,605,581,
779,396,069,323,410,163,314,273,065,308,669,394,994,853,344,353,996,270,289,
067,915,499,221,017,410,386,694,852,311,990,325,153,202,513,497,626,891,629,
999,544,837,843,800,745,442,571,320,331,989,762,297,677,595,250,307,280,744,
636,006,902,613,715,871,611,066,836,732,307,033,925,615,866,439,037,365,298,
481,953,208,567,144,114,944,591,369,765,396,674,416,651,735,757,692,337,655,
737,989,822,890,206,022,480,742,204,902,928,965,590,723,957,763,345,361,590,
135,044,004,474,613,388,361,762,361,946,575,091,853,228,122,902,299,684,794,
048,678,065,794,289,319,788,502,450,002,583,352,399,901,926,143,565,072,473,
647,670,930,707,412,349,740,140,235,699,852,646,641,374,541,724,893,542,865,
698,869,335,865,810,024,124,801,591,139,352,933,020,000,941,603,870,264,772,
560,882,094,131,407,318,629,480,496,045,751,671,312,941,919,410,195,493,192,
402,621,164,486,765,523,903,565,519,249,413,227,994,196,906,305,168,509,606,
930,483,986,040,517,300,075,501,525,956,782,551,921,003,165,335,711,641,337,
509,064,158,373,552,600,856,564,660,883,955,166,219,359,361,134,517,725,834,
142,310,439,546,419,044,647,712,960,199,443,149,521,426,118,335,016,743,246,
109,663,618,241,290,361,439,493,342,987,454,709,838,160,839,178,127,829,378,
976,697,783,975,955,354,985,147,316,229,163,518,831,477,170,100,364,123,656,
101,842,931,394,770,632,794,716,667,470,241,209,001,405,795,710,854,099,485,
627,080,002,071,536,676,176,622,136,844,149,322,671,342,815,598,075,698,794,
463,789,053,614,316,086,774,603,440,528,039,186,566,746,710,952,985,389,699,
801,960,818,546,046,633,820,119,348,443,845,431,037,913,954,876,122,915,729,
277,170,828,311,427,317,727,104,106,904,925,176,819,097,964,381,427,673,669,
759,137,978,843,759,307,011,247,284,411,801,769,822,911,421,034,657,670,672,
593,685,439,484,406,411,760,020,413,925,604,762,517,942,131,804,579,238,836,
584,557,473,235,963,263,179,811,230,359,941,043,947,237,554,467,566,601,642,
576,642,231,396,648,622,136,991,038,492,781,242,494,789,650,511,388,719,859,
460,364,019,118,936,033,865,004,039,626,678,087,962,052,009,131,269,211,432,
420,983,901,125,439,970,677,064,956,781,052,156,064,487,276,164,200,454,275,
091,346,211,434,680,381,493,760,662,575,299,472,722,179,384,511,166,689,716,
220,580,591,425,824,902,934,068,351,596,094,287,734,308,164,812,230,942,772,
986,596,434,987,343,925,340,869,071,634,722,530,426,203,830,807,806,248,961,
614,227,125,252,784,643,508,681,616,437,674,282,456,484,740,715,138,702,793,
748,908,946,795,853,307,578,876,572,444,845,335,673,703,971,460,044,152,110,
274,434,600,781,335,305,817,443,314,017,463,477,679,250,131,803,839,046,766,
539,054,075,711,812,937,922,102,644,185,465,548,814,280,827,833,988,557,109,
547,253,853,626,860,467,784,725,733,153,498,619,368,654,882,063,684,315,776,
184,867,886,319,822,178,736,537,477,427,044,748,367,324,645,332,485,035,241,
362,864,144,845,531,815,305,386,936,708,025,184,781,698,629,001,358,978,985,
547,594,851,112,078,296,681,112,092,251,345,492,186,940,387,432,017,881,463,
060,995,158,603,449,652,413,439,445,900,717,819,046,912,311,914,605,896,966,
146,447,987,706,943,712,565,462,275,453,780,353,460,027,735,314,121,331,308,
159,991,752,491,205,393,256,833,546,424,896,567,977,599,680,580,086,099,246,
969,838,579,141,501,478,545,759,092,032,293,060,644,666,697,125,699,909,654,
678,640,111,382,735,553,484,591,852,695,193,817,998,335,496,733,163,093,949,
793,612,207,051,948,902,207,833,179,502,359,450,261,119,544,191,027,435,638,
252,519,303,950,560,020,227,336,235,614,790,967,492,269,694,850,283,184,300,
638,187,411,323,351,050,705,999,682,588,059,851,502,264,468,946,595,110,159,
176,475,908,942,670,888,645,684,738,031,924,712,618,893,459,813,049,566,754,
453,301,357,041,168,864,601,619,266,105,713,174,983,249,167,101,066,653,280,
774,217,354,000,261,245,617,928,637,071,046,609,542,257,696,905,924,022,634,
415,436,931,102,079,875,692,139,304,369,874,617,442,675,622,323,814,884,287,
027,713,825,526,064,918,932,169,368,171,007,896,630,480,603,123,674,890,683,
984,898,438,357,512,330,857,240,451,898,960,052,145,220,646,784,768,568,849,
467,732,280,504,073,597,513,620,290,040,439,361,349,757,674,198,041,478,479,
663,764,390,528,145,875,596,889,836,081,066,203,553,545,365,132,592,849,735,
137,651,446,870,844,416,904,636,920,799,178,019,908,729,025,724,112,655,956,
741,674,072,387,966,087,498,357,048,363,856,886,997,918,936,875,595,402,189,
443,012,784,109,804,141,891,668,325,719,372,001,787,424,638,371,239,526,983,
954,137,358,383,675,809,334,920,002,311,437,581,516,933,956,508,237,867,576,
888,506,063,868,157,865,251,623,500,725,966,854,740,959,306,976,758,625,954,
730,952,152,574,483,379,338,412,046,859,255,827,582,782,861,238,637,646,317,
597,172,606,707,990,196,580,472,732,596,566,155,948,440,244,748,081,414,365,
157,265,877,789,915,737,048,368,335,540,087,974,871,357,812,609,152,194,021,
053,779,617,766,103,178,434,351,783,716,711,788,827,943,349,908,354,144,810,
742,365,498,342,461,404,379,816,052,149,961,762,901,583,158,838,110,669,197,
142,638,391,895,672,087,253,137,756,961,596,481,662,546,761,050,099,371,428,
051,941,165,711,599,563,831,423,547,641,702,299,811,213,451,171,196,027,529,
396,096,900,070,799,198,304,024,267,649,817,704,446,705,154,209,832,316,327,
538,396,587,846,553,615,591,340,735,498,114,802,544,857,718,002,085,170,496,
154,517,174,019,436,005,676,014,267,163,354,091,825,723,996,283,661,096,220,
595,823,906,768,518,183,411,470,278,094,118,577,085,509,479,892,436,458,540,
660,393,302,247,867,656,263,696,238,978,075,265,067,991,915,951,036,220,173,
053,245,164,684,479,943,881,768,554,982,332,422,904,572,172,932,277,190,858,
064,553,194,108,769,836,970,707,753,155,996,676,556,391,367,657,547,640,127,
192,543,469,965,318,242,027,155,451,556,771,431,205,683,896,107,957,971,226,
788,183,051,014,135,131,698,179,852,953,416,375,499,318,301,244,472,039,846,
256,443,583,866,918,423,389,904,389,616,151,636,417,817,102,665,719,614,976,
620,685,442,198,446,439,213,465,544,224,693,870,468,153,341,476,499,670,482,
437,076,099,651,030,558,695,657,872,982,562,798,176,405,907,534,380,476,709,
026,049,372,483,810,281,510,552,566,292,683,611,769,071,285,841,823,531,907,
611,340,764,367,957,848,131,481,507,134,256,666,920,146,145,287,658,597,427,
440,069,590,431,150,029,978,404,923,003,993,291,996,417,280,966,153,727,643,
289,181,577,135,512,869,865,490,705,621,608,166,230,289,775,007,486,996,144,
246,711,072,972,379,737,260,279,391,587,985,334,758,297,218,717,968,985,418,
669,350,217,759,763,420,128,781,108,645,003,803,398,141,908,029,362,003,272,
107,505,779,533,767,392,641,871,757,589,420,727,843,440,150,237,812,480,895,
895,604,374,158,741,831,161,147,272,229,883,157,176,231,643,813,275,939,684,
701,218,326,882,049,515,153,338,862,088,925,367,297,836,627,330,057,379,350,
953,234,991,619,896,971,793,986,697,789,830,812,274,079,665,289,769,938,130,
694,172,957,739,621,725,598,736,069,820,999,288,901,646,882,986,242,653,483,
084,373,267,434,858,718,608,585,427,012,533,004,120,618,845,106,954,596,093,
460,948,490,940,573,766,144,079,563,024,523,830,061,932,012,176,465,019,855,
590,156,505,822,075,481,130,132,754,731,111,301,228,481,384,538,346,193,434,
186,398,583,566,489,247,771,189,795,494,693,920,696,219,309,221,932,951,493,
923,859,809,458,152,229,460,981,519,793,533,931,651,738,975,410,224,865,744,
876,221,374,586,849,360,355,273,639,193,163,237,767,326,515,518,442,662,520,
811,660,935,356,925,417,086,117,738,956,274,189,922,684,209,594,697,974,258,
578,763,351,057,232,896,793,286,038,170,047,178,486,255,262,519,949,126,253,
642,097,310,183,102,054,817,490,221,456,108,118,470,197,736,033,024,263,833,
485,015,858,760,959,463,916,926,275,727,115,156,973,449,965,063,450,313,955,
020,097,967,678,007,287,156,572,142,928,014,119,315,488,668,448,960,718,030,
297,711,289,426,663,683,198,313,760,768,938,831,221,507,338,797,229,538,195,
904,522,134,438,721,427,472,423,125,492,045,863,218,726,062,102,389,049,847,
442,667,105,353,585,836,050,006,265,435,181,938,689,885,481,451,670,885,531,
581,099,199,650,757,205,531,558,837,215,589,545,724,947,888,771,309,368,216,
012,443,100,554,026,754,515,711,887,936,845,373,503,508,776,384,530,214,180,
906,039,402,224,427,534,175,626,770,146,515,370,128,051,332,598,313,940,181,
698,606,981,802,954,987,452,388,985,177,761,505,659,410,954,706,116,821,015,
495,081,952,093,557,855,074,256,986,590,875,971,828,582,873,546,172,706,166,
733,415,670,344,835,329,871,530,802,054,081,257,299,351,688,851,420,836,197,
892,698,473,609,927,869,794,875,246,618,991,343,934,092,289,889,310,911,039,
509,745,952,320,447,871,674,039,830,681,264,962,004,587,142,352,896,326,106,
201,355,525,877,540,666,898,258,748,904,300,259,282,495,164,685,216,716,054,
971,748,017,133,471,998,196,969,233,202,941,028,576,955,759,639,612,629,504,
059,138,834,327,670,581,648,720,061,120,232,721,058,777,459,685,922,043,534,
895,428,118,916,170,495,218,752,097,772,549,108,524,956,469,598,942,986,676,
051,714,009,241,746,767,731,230,952,484,922,926,017,628,022,219,650,098,920,
321,924,007,418,602,347,520,754,640,078,817,969,888,764,432,892,151,088,549,
800,949,821,461,794,906,387,497,263,392,123,912,621,415,195,074,214,282,559,
538,089,046,347,846,533,012,859,141,497,031,444,125,535,504,510,218,554,174,
209,732,525,059,641,084,879,521,924,206,158,320,089,933,370,193,849,031,374,
611,433,472,798,443,520,032,536,925,742,486,899,567,025,071,213,842,937,202,
958,311,841,780,232,514,946,527,207,553,288,729,217,250,005,386,575,354,679,
561,212,842,906,600,173,999,694,517,328,049,277,601,709,184,235,868,240,582,
203,479,537,896,102,979,833,415,936,127,281,163,033,659,796,518,441,222,122,
251,137,227,513,600,490,798,359,351,216,222,953,157,246,080,458,102,498,239,
504,781,292,812,233,661,399,826,942,020,417,220,721,315,304,260,601,698,993,
118,668,783,169,180,928,787,811,053,669,583,615,232,577,092,439,533,172,420,
626,097,634,675,834,984,451,576,967,352,422,964,103,297,324,175,310,670,368,
765,907,578,430,713,796,161,603,069,073,504,554,921,713,982,565,162,961,813,
363,661,833,849,182,097,515,887,708,030,177,847,053,953,055,312,992,936,342,
025,580,543,159,129,885,356,045,494,378,827,808,220,001,100,667,870,093,644,
295,806,567,635,949,262,445,527,595,639,091,506,383,106,620,116,254,097,508,
378,458,346,576,889,276,485,500,454,778,994,108,635,979,120,745,704,226,413,
705,595,170,661,182,283,054,126,611,845,472,318,173,432,328,503,582,351,292,
209,609,928,586,015,317,459,530,360,531,860,223,003,949,124,767,933,552,852,
478,378,177,218,179,059,279,747,263,299,565,577,765,013,255,267,049,056,369,
411,952,329,326,085,770,347,744,470,468,802,663,803,541,591,478,598,000,049,
639,758,089,926,173,912,320,866,051,260,861,474,948,494,003,379,232,467,614,
563,246,101,847,590,322,099,529,085,420,410,869,042,051,706,321,687,219,050,
357,156,814,243,943,530,989,629,087,485,720,792,456,533,453,645,798,797,549,
749,601,518,580,758,066,207,791,615,116,687,355,343,772,392,921,792,957,384,
668,261,297,994,012,789,989,773,515,575,689,682,186,789,805,428,892,229,212,
375,760,586,600,948,864,550,378,533,974,346,897,091,474,236,415,167,331,903,
809,089,199,828,331,383,523,428,419,981,917,963,191,338,540,842,566,618,107,
162,871,836,902,515,805,734,131,917,423,029,785,221,657,692,246,083,236,756,
327,218,485,172,457,713,261,815,956,762,595,572,288,289,122,087,435,458,285,
324,338,849,151,646,709,286,876,239,753,667,649,369,157,033,382,017,175,038,
516,828,007,934,160,699,700,228,150,274,285,428,113,130,827,193,241,870,300,
040,564,829,250,142,700,696,713,366,704,535,413,790,529,917,692,930,238,006,
123,344,940,991,283,860,236,814,381,762,362,959,968,637,091,057,148,255,465,
168,184,211,299,962,013,347,725,309,868,113,167,877,554,292,352,805,485,398,
202,908,094,889,716,409,623,630,300,811,596,657,058,197,143,494,187,102,990,
569,423,114,288,798,832,860,606,151,924,987,656,368,840,189,168,034,028,673,
061,439,055,471,008,881,761,755,672,439,725,284,102,530,043,918,613,570,185,
141,142,802,084,129,809,862,672,529,330,050,106,738,429,684,491,499,941,242,
438,391,508,343,616,781,498,363,772,077,323,929,061,145,225,215,587,824,549,
573,461,748,824,005,099,985,235,627,090,282,284,391,840,948,376,437,387,762,
468,455,603,936,892,410,006,428,511,220,585,279,908,022,121,244,544,783,749,
731,499,988,329,165,789,270,872,018,313,994,345,439,457,227,810,131,016,249,
080,926,562,737,373,338,213,819,262,395,812,394,490,067,308,786,083,788,132,
919,245,559,562,206,198,903,198,407,612,211,927,062,716,933,111,357,023,670,
326,573,354,703,992,476,756,960,180,230,194,887,989,892,339,464,303,396,759,
871,509,682,472,682,827,030,036,575,200,224,475,892,261,200,629,015,499,162,
298,069,871,234,735,351,278,856,524,748,294,857,988,128,533,367,604,200,762,
090,720,961,856,869,711,865,799,632,825,329,948,584,566,513,449,335,180,537,
618,120,253,850,288,002,035,174,339,512,880,489,933,577,573,806,055,761,792,
664,448,332,381,488,259,446,499,996,055,329,480,090,719,117,796,895,602,319,
417,506,338,407,328,058,686,814,131,938,205,459,845,754,282,207,292,862,741,
346,252,531,471,227,849,681,977,010,675,510,729,237,326,778,627,846,324,939,
413,104,155,565,217,906,324,242,991,677,508,042,408,384,262,910,526,247,826,
846,336,273,005,800,113,220,947,046,418,433,515,027,955,759,709,395,654,763,
268,219,807,745,461,408,061,385,248,570,965,239,776,253,568,159,188,528,789,
828,298,524,370,761,872,954,602,540,719,497,095,792,347,399,750,799,835,757,
715,160,492,024,610,758,241,983,343,670,492,508,031,665,432,558,004,499,970,
317,618,658,605,530,814,479,863,464,425,389,358,700,195,126,289,906,263,099,
608,128,029,118,001,036,047,338,267,495,588,580,865,371,602,965,441,710,077,
003,166,454,312,912,740,248,644,325,410,297,256,232,626,041,401,862,284,790,
849,411,983,196,099,399,612,727,581,539,163,379,154,737,908,840,848,628,790,
981,250,035,789,950,613,160,344,451,401,608,701,700,739,236,400,314,017,023,
745,321,102,582,935,771,294,669,746,259,650,711,009,926,189,938,026,865,356,
427,643,811,441,698,569,355,045,327,471,962,709,028,353,776,878,675,966,476,
143,051,467,918,382,020,185,380,212,150,793,640,569,055,388,779,161,854,789,
087,546,442,352,277,014,532,046,567,015,954,358,067,742,735,644,761,892,752,
935,343,704,703,956,094,303,271,735,327,032,246,820,431,554,492,752,298,521,
752,505,794,425,029,362,112,498,572,852,090,681,207,272,379,817,642,944,024,
747,087,298,765,633,656,001,174,444,356,784,857,639,531,904,495,185,593,957,
239,508,635,573,888,825,832,870,296,251,265,536,115,458,929,443,748,938,738,
009,924,425,228,242,931,729,018,871,799,411,764,060,330,632,659,202,842,226,
586,857,061,586,615,837,300,525,533,846,817,036,177,327,602,962,337,572,099,
109,043,940,108,655,963,512,599,628,060,217,464,546,453,075,233,846,188,926,
555,595,271,084,576,065,854,229,677,588,241,251,283,074,543,650,381,453,301,
152,205,781,064,634,685,009,117,510,432,079,580,685,896,423,470,699,163,963,
470,926,316,725,649,071,320,034,958,971,387,101,845,411,535,727,485,797,139,
207,764,126,819,383,621,471,175,623,099,450,182,954,171,362,351,775,793,504,
477,659,086,756,218,191,495,150,636,965,732,148,815,645,464,555,737,444,237,
264,495,300,000,998,879,465,448,221,176,009,664,313,162,536,069,933,485,761,
048,007,809,570,516,436,512,970,168,441,416,152,358,035,629,856,849,702,900,
294,026,693,350,805,583,197,704,176,674,769,642,178,985,018,856,455,822,964,
766,197,896,501,255,233,356,327,168,596,493,456,266,835,260,067,213,936,520,
617,249,682,396,285,358,528,655,286,741,475,381,202,858,321,901,161,373,913,
743,687,141,744,167,789,957,145,079,730,251,392,744,398,036,300,610,963,909,
349,867,011,405,304,241,876,218,325,317,609,031,171,680,758,838,358,876,809,
494,826,659,939,381,793,300,893,603,560,658,205,255,189,900,865,380,292,023,
933,299,075,452,519,315,422,742,715,565,264,734,274,325,204,937,864,332,814,
984,330,095,106,742,355,735,173,317,631,742,351,830,874,248,523,651,780,727,
567,934,806,187,918,134,479,009,572,246,946,193,887,004,442,186,406,419,210,
457,420,049,154,016,987,844,471,988,735,927,466,215,351,546,895,817,221,267,
526,271,136,667,092,271,405,617,159,211,497,199,807,173,497,419,171,601,609,
990,625,332,965,450,700,871,410,660,779,281,684,543,038,387,858,428,066,815,
771,621,287,612,563,536,187,128,625,719,255,446,165,983,379,976,204,042,841,
628,657,044,242,762,550,984,373,573,567,512,849,711,192,089,693,745,055,711,
202,236,067,207,819,246,520,492,887,064,803,097,051,545,231,525,939,364,142,
479,864,292,070,343,950,476,515,541,925,082,424,756,605,458,518,097,876,527,
265,466,349,570,236,523,392,797,575,286,973,040,673,523,090,864,197,128,416,
565,623,017,503,799,771,620,948,977,699,521,495,948,378,117,043,659,766,249,
278,341,232,255,367,484,131,942,324,205,873,195,001,280,819,251,984,500,889,
733,025,068,830,499,335,456,212,141,511,920,366,413,239,715,350,546,951,581,
560,714,681,919,181,334,111,457,068,107,932,297,491,580,031,685,638,154,935,
048,805,979,323,253,041,099,867,781,209,369,497,603,632,255,363,096,237,226,
679,454,375,024,912,634,645,987,654,665,741,721,462,344,548,126,509,082,643,
601,349,965,716,413,450,382,416,835,654,604,144,017,801,433,243,575,046,885,
307,108,217,497,250,274,827,798,746,470,192,727,260,834,943,264,794,643,259,
087,935,367,722,202,218,162,632,581,433,372,877,208,374,228,941,578,609,746,
196,416,395,313,186,034,087,838,457,084,372,955,064,339,045,763,231,758,903,
408,630,576,158,540,749,331,659,602,561,542,666,305,747,142,500,086,222,335,
799,657,672,477,599,513,420,651,377,119,888,116,170,761,494,736,734,402,414,
179,578,131,330,921,182,454,722,479,352,409,077,387,028,315,454,483,897,003,
258,300,829,675,364,152,896,782,909,469,665,853,598,885,478,547,819,980,430,
747,770,301,386,819,804,057,726,600,893,012,171,277,966,366,438,834,972,187,
321,483,052,852,365,734,145,443,874,837,070,639,412,879,051,135,009,415,906,
367,484,285,100,590,066,807,615,837,505,718,896,063,651,857,618,879,638,610,
474,342,674,083,248,317,435,612,890,482,658,479,045,715,903,197,872,859,489,
150,945,130,784,637,854,222,843,147,522,707,868,703,247,060,649,966,167,507,
198,732,843,987,887,442,478,714,562,787,720,227,391,544,834,380,258,171,387,
144,366,459,553,822,809,982,474,806,518,196,142,487,873,963,046,679,361,302,
161,881,275,769,428,939,846,209,900,853,532,214,298,552,699,741,427,407,930,
165,034,338,211,429,207,164,704,248,362,445,633,604,596,866,372,292,527,249,
641,539,674,524,113,759,292,721,292,593,988,975,487,719,239,019,846,245,508,
098,873,885,623,378,753,247,298,685,046,497,660,915,302,463,657,498,210,504,
672,586,194,262,660,829,873,881,740,388,176,051,049,438,437,790,732,503,643,
788,905,688,267,034,044,669,082,579,393,946,467,585,631,606,189,886,217,220,
467,817,803,926,352,037,224,752,720,295,787,296,170,133,976,977,947,868,362,
995,724,944,446,229,011,376,756,961,926,557,533,307,519,060,867,518,620,424,
551,826,807,920,167,288,638,311,657,324,866,294,389,894,714,910,319,524,582,
334,237,076,338,747,667,933,914,239,819,174,197,865,478,028,881,841,735,125,
805,203,031,090,636,917,720,282,550,013,980,354,619,216,407,336,355,175,000,
516,010,439,990,480,530,425,520,730,789,322,258,410,948,399,041,857,014,165,
330,206,178,591,490,681,354,105,054,683,526,101,262,099,037,464,663,212,252,
256,736,907,435,970,927,040,703,780,065,683,479,806,144,313,325,480,173,327,
076,733,315,907,256,401,715,529,088,077,317,974,092,865,930,680,770,446,531,
735,583,441,370,613,594,085,240,185,723,265,226,604,284,805,704,775,864,013,
898,538,028,342,395,905,321,947,480,560,251,510,513,063,837,274,943,398,783,
050,305,454,297,076,173,789,465,489,673,414,458,194,837,241,831,503,605,134,
010,645,809,052,869,970,398,277,078,143,718,935,715,081,684,788,834,395,648,
867,121,487,329,543,093,997,858,657,815,548,858,672,112,693,269,415,248,255,
021,130,149,388,947,937,111,604,944,796,029,685,300,870,258,302,961,356,123,
598,633,839,270,327,209,755,036,898,520,893,006,095,419,296,736,006,306,323,
146,085,437,787,337,449,552,674,708,246,341,878,089,726,233,152,741,737,797,
293,856,890,790,560,319,910,018,239,762,695,527,932,516,997,396,448,424,396,
407,563,288,792,269,854,389,759,935,305,879,157,808,248,750,194,186,544,236,
492,625,747,959,923,189,720,988,259,334,361,291,440,519,744,837,041,589,548,
223,091,932,497,027,227,564,582,340,099,191,842,786,092,097,005,249,275,262,
952,645,828,372,921,947,987,780,008,256,587,572,967,475,883,032,304,772,089,
208,017,659,211,992,897,335,098,026,290,489,739,807,175,608,495,826,513,043,
407,837,379,131,039,878,604,128,963,378,347,934,526,469,049,184,301,527,434,
867,033,463,458,541,151,554,286,031,358,169,051,576,330,094,521,471,227,643,
742,989,853,288,494,065,128,924,426,835,921,711,657,088,183,532,956,195,224,
792,965,438,927,378,158,491,401,972,956,980,399,386,187,135,501,057,858,067,
876,583,387,495,043,630,688,042,700,373,108,381,872,408,529,025,665,807,559,
221,274,097,422,694,241,547,013,297,308,649,731,965,501,158,142,635,969,774,
325,678,781,906,735,005,983,596,204,494,220,468,754,460,988,349,367,265,219,
371,621,255,495,155,068,759,021,070,818,245,844,821,790,185,598,322,233,152,
544,214,790,492,348,172,826,149,271,486,131,574,582,671,518,453,794,127,021,
427,921,763,404,181,582,332,297,201,447,416,430,504,005,749,561,477,575,590,
212,157,146,015,168,699,525,041,678,693,838,022,385,333,007,678,522,236,114,
762,840,955,610,334,183,503,243,037,733,394,746,255,726,680,430,000,187,228,
534,866,090,564,279,386,761,897,365,440,557,133,870,871,826,469,995,964,603,
579,376,179,509,748,724,014,119,148,224,032,069,985,871,250,548,469,045,113,
161,213,920,805,950,413,676,601,932,355,075,364,501,571,046,184,129,568,500,
317,327,052,280,150,177,049,605,457,713,320,917,008,352,040,784,756,581,039,
174,903,149,435,247,144,662,973,170,002,818,930,395,522,891,243,013,291,352,
962,340,854,999,132,813,676,511,035,782,686,874,949,092,456,099,129,334,937,
852,372,156,470,984,852,340,783,107,780,526,189,135,477,786,898,894,430,255,
409,442,235,130,767,450,381,589,816,191,912,726,489,269,022,717,274,810,336,
417,462,153,721,677,257,689,296,821,700,869,461,166,812,719,971,243,478,194,
553,182,621,374,784,641,907,497,693,721,291,635,963,414,925,923,711,424,116,
112,373,173,727,931,581,905,714,494,720,130,191,395,378,999,662,495,442,480,
107,970,913,020,079,728,553,435,972,436,776,055,823,365,626,712,502,611,285,
452,702,812,149,921,979,173,771,418,461,599,802,980,084,935,265,937,958,312,
208,452,037,216,935,212,328,581,706,658,373,803,908,878,007,501,897,678,749,
350,479,496,740,319,560,641,301,335,935,341,684,634,517,409,002,783,703,619,
341,347,797,151,003,169,182,855,328,696,799,044,548,817,959,013,038,877,190,
706,892,864,503,161,350,706,141,746,616,519,266,552,694,700,681,733,839,545,
011,860,895,881,899,358,639,672,425,161,710,501,783,686,603,299,745,559,633,
280,178,897,124,300,912,093,442,374,980,917,300,005,625,964,359,059,933,805,
773,435,707,243,538,383,986,668,142,226,343,346,973,252,810,701,254,101,966,
306,402,873,512,021,260,434,716,501,380,157,878,120,542,584,636,084,373,426,
335,400,528,983,513,141,313,516,924,469,963,338,990,476,589,318,450,198,432,
684,451,966,314,381,385,344,246,705,298,000,688,444,212,090,784,827,221,583,
224,308,720,663,041,335,811,460,598,234,922,494,707,199,144,610,664,824,097,
752,852,530,288,123,169,543,135,072,147,296,853,986,187,940,677,680,913,017,
489,267,687,591,519,820,961,629,552,187,279,009,802,861,071,601,333,984,947,
912,149,857,745,661,178,159,674,568,973,329,266,942,617,393,765,523,199,924,
112,251,009,455,623,012,399,228,360,245,585,696,638,390,604,620,846,817,237,
344,922,727,464,345,961,356,165,137,626,582,248,264,060,919,026,754,255,433,
153,764,373,090,330,317,803,635,234,700,534,481,099,128,727,740,686,960,798,
408,757,345,889,745,578,850,324,033,393,281,740,955,387,634,506,573,060,640,
708,560,734,104,074,003,949,994,889,117,848,042,726,289,194,279,000,387,978,
303,755,891,832,114,427,354,107,208,965,587,913,208,190,603,270,160,536,060,
965,958,137,385,834,598,286,156,342,271,460,327,744,276,764,706,448,574,575,
314,431,181,354,226,844,468,009,290,590,292,605,784,259,468,931,452,068,997,
165,630,136,213,622,560,291,769,431,788,944,309,222,121,675,517,102,132,440,
515,552,731,981,285,403,084,398,157,773,919,917,898,694,502,041,260,650,361,
734,550,625,481,287,619,146,938,081,729,196,164,254,022,805,664,717,528,115,
343,245,417,295,649,798,709,525,115,945,095,755,852,418,142,476,026,750,000,
843,577,324,576,380,378,985,062,839,401,811,997,863,865,236,645,198,592,950,
675,639,154,033,384,927,279,623,202,116,855,468,514,680,600,078,657,440,098,
944,355,946,718,593,906,051,634,723,851,755,397,834,267,114,516,691,590,694,
390,927,379,863,780,766,827,271,062,157,243,948,920,097,732,053,263,858,912,
807,611,926,602,540,910,013,273,373,117,801,358,477,375,647,853,229,346,408,
932,467,232,093,705,786,801,335,195,839,433,722,770,980,055,211,956,846,731,
899,612,362,936,640,819,370,632,396,679,907,971,176,755,262,301,262,321,932,
784,235,928,705,393,377,164,956,938,218,657,245,358,781,911,143,495,782,372,
062,258,496,159,032,881,331,345,267,197,138,864,017,160,610,503,639,531,835,
724,381,025,628,866,505,211,281,095,551,447,273,755,443,895,457,043,256,566,
018,534,275,502,924,953,647,874,818,017,346,727,779,112,271,117,168,292,757,
900,369,073,529,229,894,890,346,605,229,401,609,328,929,491,810,798,653,703,
809,168,926,251,540,932,062,693,430,941,679,909,550,264,154,323,333,736,186,
259,448,910,321,414,722,245,723,097,804,424,380,874,770,303,593,726,527,389,
957,860,088,822,474,005,075,596,627,221,496,904,353,134,656,699,070,321,937,
908,330,360,943,188,787,428,337,998,724,078,994,278,867,111,586,554,467,786,
703,875,949,256,852,029,597,653,698,984,403,340,515,047,757,024,708,222,591,
915,838,914,487,217,360,810,024,229,554,732,969,583,538,172,824,115,969,161,
454,578,240,201,207,699,596,331,526,897,075,316,252,882,854,504,436,072,053,
127,673,555,508,760,463,397,682,629,645,346,926,167,111,625,423,977,012,074,
449,871,042,860,979,877,280,837,668,037,923,962,160,822,811,951,639,703,190,
608,474,796,436,378,586,284,556,514,611,177,869,127,960,528,648,005,472,642,
414,200,129,900,200,030,805,381,186,596,611,326,500,522,092,006,051,453,918,
543,245,537,007,260,127,498,493,494,940,002,509,921,562,496,412,007,472,775,
428,956,702,776,865,028,439,227,221,638,002,790,701,814,317,837,482,646,189,
673,010,502,587,081,027,637,625,347,348,153,742,945,615,767,544,802,269,440,
240,729,942,598,708,816,450,586,401,180,743,847,108,266,873,615,005,114,006,
720,007,887,668,747,023,899,061,340,618,840,674,934,576,579,653,074,566,037,
892,356,413,830,417,699,957,437,126,531,826,568,227,482,698,525,265,122,397,
389,777,664,808,182,966,815,130,061,781,216,517,848,640,906,856,788,952,656,
180,009,908,641,190,802,229,345,088,138,002,976,721,834,371,589,888,216,263,
094,903,409,873,384,128,760,395,612,363,530,584,345,653,788,633,244,151,406,
186,551,330,739,682,212,785,987,985,325,809,936,514,583,046,493,691,990,165,
864,105,276,095,057,732,753,873,649,121,175,164,083,340,025,802,728,791,799,
724,073,596,376,480,821,064,127,595,197,380,100,569,004,181,498,601,208,571,
391,472,104,405,952,414,862,486,502,457,988,858,213,802,416,700,917,797,820,
428,599,939,901,673,637,638,518,266,371,179,202,321,103,266,446,794,854,788,
559,540,825,819,897,708,805,164,441,532,692,026,115,000,653,613,494,675,967,
155,365,925,511,320,899,934,369,772,136,915,721,181,320,219,065,070,387,468,
249,612,742,192,810,731,031,519,918,835,815,412,367,125,578,755,347,797,323,
615,761,555,479,377,741,431,071,987,569,494,108,707,666,369,528,642,141,088,
973,739,461,610,342,724,848,857,454,919,237,076,409,860,049,571,282,222,036,
383,347,564,064,523,014,099,171,997,936,884,999,356,393,381,763,195,884,922,
080,253,706,235,908,418,164,221,892,790,521,328,587,374,094,385,216,764,301,
064,546,827,071,471,081,133,371,287,090,539,811,950,015,242,464,549,289,435,
999,631,971,285,531,762,916,012,120,091,125,626,595,448,567,667,056,813,746,
704,909,768,422,250,382,894,490,863,720,005,533,813,798,974,281,152,132,160,
663,640,876,268,666,291,778,770,104,819,292,662,067,523,863,718,502,187,443,
362,146,972,951,933,279,287,315,295,747,690,126,332,518,901,025,385,551,631,
829,184,554,565,264,461,759,485,393,339,379,427,775,239,056,189,720,535,871,
796,215,142,393,055,647,488,621,782,786,752,958,189,183,662,629,586,891,192,
477,299,830,747,811,697,928,091,822,965,013,506,456,148,841,672,229,195,399,
811,816,830,310,152,222,667,981,175,905,097,733,013,285,930,100,893,845,423,
728,574,297,243,555,239,576,545,992,081,818,883,940,618,947,674,255,713,971,
172,235,296,867,001,289,429,204,831,240,302,581,217,925,589,124,233,651,206,
423,008,861,600,521,024,299,104,454,767,471,880,167,152,242,688,338,428,210,
978,296,673,810,866,339,807,284,842,395,879,498,007,595,738,343,455,825,459,
272,440,356,863,291,801,919,294,134,584,114,943,748,384,376,415,389,916,184,
929,236,783,742,223,394,931,324,057,987,413,143,295,295,150,765,545,681,351,
560,472,344,269,919,755,875,172,172,375,552,314,263,847,521,650,826,785,601,
022,140,491,205,597,071,208,720,857,469,737,387,045,525,304,274,563,320,093,
998,546,905,683,201,327,352,180,242,368,162,561,125,970,246,773,735,138,101,
525,385,157,781,833,869,522,007,492,118,322,761,449,877,334,374,277,974,176,
298,419,804,847,783,062,956,717,207,280,350,770,060,506,518,371,768,933,739,
134,494,880,119,079,979,596,009,104,498,784,777,068,061,778,457,107,268,519,
892,084,152,200,988,205,997,954,812,754,495,932,390,579,335,218,526,718,155,
991,788,366,782,332,576,412,091,881,005,524,856,416,334,688,091,221,751,574,
703,658,237,248,882,921,642,949,380,037,423,327,389,930,210,311,693,204,875,
456,708,467,287,083,795,431,847,761,093,806,603,124,789,267,574,841,548,150,
166,597,961,339,813,380,394,573,618,111,343,447,817,954,159,762,713,401,140,
127,414,433,922,131,882,279,696,248,106,478,448,429,861,237,811,772,345,968,
664,724,022,876,658,963,616,329,481,477,264,975,135,886,425,929,465,683,951,
341,341,834,929,350,421,302,437,196,079,905,770,404,788,211,994,247,056,164,
735,190,312,089,065,358,344,816,189,930,990,761,898,300,787,222,222,492,336,
719,418,580,039,930,089,066,978,860,156,205,731,404,751,924,183,486,776,782,
966,324,858,939,562,985,560,159,785,561,295,537,632,427,573,922,166,457,614,
869,361,613,318,152,150,534,513,379,284,815,685,161,240,055,062,333,755,780,
352,607,840,952,373,731,479,255,027,428,433,152,592,026,273,209,878,832,753,
603,977,819,402,138,392,334,253,978,945,125,785,526,277,659,657,651,152,060,
830,400,222,344,261,272,689,347,163,618,844,490,008,147,177,994,382,321,391,
225,855,907,003,131,920,079,487,578,937,210,529,852,959,067,422,912,476,025,
972,445,770,016,233,741,774,411,241,016,291,948,906,441,363,057,067,840,992,
549,997,472,906,621,301,167,544,036,189,512,002,689,402,945,686,429,754,961,
237,299,666,984,814,892,840,740,075,968,232,496,277,049,807,604,822,235,780,
706,459,892,188,948,796,767,422,161,765,174,763,319,090,004,471,992,331,996,
024,950,855,150,108,109,246,389,647,819,214,480,500,856,478,351,775,296,579,
808,289,071,261,461,737,800,505,328,627,456,079,236,192,074,584,987,051,883,
203,919,780,756,583,409,519,513,851,419,732,282,664,276,093,031,167,545,477,
012,414,530,684,135,007,683,032,166,027,404,824,852,743,343,506,034,854,985,
024,124,565,294,182,396,251,475,627,675,203,131,852,391,034,863,611,806,653,
531,042,404,183,738,322,990,414,683,227,778,087,481,299,016,937,759,946,769,
040,500,793,279,255,836,924,449,855,733,675,282,371,329,053,623,228,198,586,
055,487,506,865,581,804,029,462,486,154,174,018,949,220,877,880,836,862,068,
871,711,279,712,154,324,609,805,342,056,881,546,385,635,423,610,086,210,650,
751,597,258,347,819,122,247,629,513,224,782,292,838,557,352,816,157,567,252,
645,295,773,875,419,526,453,908,096,399,757,318,636,266,297,319,025,717,686,
099,180,837,998,462,896,411,312,075,772,568,756,430,055,498,292,857,107,421,
350,098,099,829,720,153,472,967,684,819,813,539,013,569,389,708,013,969,111,
155,137,799,177,914,235,414,890,947,685,380,697,110,740,169,873,905,969,236,
996,261,859,495,380,805,044,981,184,559,588,378,261,952,932,927,005,323,908,
578,199,312,317,173,789,825,079,243,193,293,875,667,395,984,360,641,203,531,
166,873,803,862,711,310,416,170,254,943,581,621,750,155,108,583,108,858,101,
450,414,464,591,218,522,050,562,754,101,372,980,012,660,795,350,068,422,790,
777,232,452,617,308,157,158,710,360,915,466,468,141,608,679,001,132,920,234,
264,843,643,196,466,198,100,317,092,195,958,604,468,571,085,544,203,592,882,
808,748,687,366,108,386,684,140,025,981,610,416,507,171,261,506,653,679,448,
367,225,950,074,377,108,114,419,654,150,077,721,457,017,781,208,080,194,921,
086,018,894,872,007,974,094,370,925,774,563,904,473,079,858,725,513,547,044,
796,020,936,513,001,869,568,138,002,569,717,235,496,621,500,013,299,436,566,
086,465,434,181,465,149,345,710,065,721,417,297,357,017,685,282,328,008,363,
177,315,333,343,952,085,802,954,078,467,428,914,403,895,910,278,373,404,769,
805,719,654,466,923,942,114,778,038,719,925,375,527,647,949,330,486,190,460,
368,045,421,359,744,778,958,408,468,492,164,304,999,499,733,115,717,694,541,
857,090,948,416,135,154,172,258,560,059,408,681,047,249,303,762,030,119,243,
597,814,953,515,939,352,570,115,635,772,698,027,658,977,378,594,270,253,055,
805,783,728,379,017,192,499,131,059,413,065,978,205,325,022,666,954,225,944,
256,284,348,333,737,986,334,717,690,008,051,678,431,653,752,036,661,281,008,
123,886,030,471,815,893,490,653,479,506,199,268,170,399,264,105,442,061,955,
024,524,188,268,872,596,889,241,174,112,267,500,959,456,298,670,049,230,131,
604,792,247,811,712,637,408,749,887,671,062,032,823,933,417,571,167,224,781,
708,947,621,648,895,421,496,536,951,283,968,043,979,710,868,447,656,995,814,
379,621,138,136,004,634,028,405,728,749,309,630,236,521,039,422,980,179,149,
821,695,164,329,709,684,908,971,744,494,865,151,730,686,718,272,023,231,798,
070,417,442,641,229,817,096,828,372,812,710,345,074,473,963,029,401,671,494,
081,769,612,934,432,695,047,887,219,737,903,099,577,899,957,585,137,381,733,
869,854,252,414,994,084,208,527,872,328,734,071,556,083,519,613,863,922,628,
611,209,337,421,362,266,711,723,079,538,285,727,481,797,268,679,709,493,895,
026,821,173,233,750,919,898,105,083,525,858,011,410,600,646,710,930,446,209,
576,958,678,829,093,144,977,984,960,121,672,661,681,243,970,654,885,036,202,
695,328,602,730,458,874,715,093,515,834,520,403,672,472,388,087,422,970,769,
788,882,539,666,664,697,105,906,425,967,331,469,830,817,901,976,646,066,864,
642,715,487,842,896,172,198,338,621,482,904,861,942,995,639,286,830,587,728,
692,065,191,870,925,849,892,142,692,439,594,710,405,862,109,236,517,385,655,
016,107,087,996,570,376,869,295,956,830,565,902,375,538,718,055,886,936,967,
177,457,715,869,606,723,780,020,649,139,332,566,915,456,719,783,505,682,936,
814,440,541,783,237,810,574,473,246,892,395,414,142,827,266,456,265,463,312,
399,831,067,492,493,378,073,319,632,005,363,743,000,105,032,852,951,797,745,
980,807,900,618,462,644,908,640,038,396,461,833,500,115,347,080,511,483,758,
575,594,395,624,972,489,220,927,047,351,995,437,042,069,701,294,143,205,922,
329,344,217,338,294,461,020,283,891,142,794,513,983,738,788,460,761,321,288,
991,085,046,758,513,350,345,570,198,166,799,336,679,752,600,739,883,634,290,
039,289,555,717,608,416,769,359,339,383,520,569,194,347,107,563,568,107,078,
711,750,692,898,988,614,365,636,136,423,301,180,076,017,612,922,583,141,055,
114,009,679,949,041,592,683,507,737,023,786,762,536,728,546,175,518,077,234,
988,868,111,958,136,741,656,635,172,066,743,280,599,854,111,915,192,238,206,
119,258,556,806,664,357,117,373,269,355,827,638,526,562,205,185,112,528,532,
845,391,375,914,720,518,499,848,110,410,803,612,967,595,335,899,339,802,190,
327,682,131,694,571,448,939,307,549,432,702,624,970,951,649,263,150,992,587,
537,574,492,871,491,445,194,110,802,774,855,231,993,443,873,154,960,139,651,
894,221,575,039,263,708,980,583,745,387,777,657,094,945,629,474,634,999,644,
362,059,920,853,805,231,574,222,253,745,518,296,846,612,317,413,664,302,237,
194,165,400,083,392,020,717,513,315,753,965,885,914,583,529,947,017,653,323,
718,167,175,741,337,773,850,420,735,774,852,128,023,538,261,016,722,207,776,
675,892,938,664,965,893,020,040,478,765,596,165,592,877,363,914,281,411,869,
419,651,190,561,158,668,905,073,103,484,183,825,812,622,502,820,369,771,996,
159,629,687,173,077,551,495,151,548,636,550,917,307,614,710,886,661,502,136,
805,443,644,649,605,506,707,639,431,638,202,705,172,272,535,664,206,810,594,
559,754,082,315,132,922,665,337,323,161,939,701,875,468,901,538,761,955,510,
778,941,774,211,344,695,839,588,337,597,424,828,847,744,573,405,774,972,348,
745,491,086,284,411,928,479,715,035,987,482,346,627,484,159,696,488,009,610,
604,988,313,581,715,836,581,120,394,410,603,719,729,672,064,026,063,560,130,
024,198,697,348,247,222,522,230,539,705,821,854,024,196,436,055,757,388,147,
065,735,927,274,970,427,791,925,536,700,740,447,386,569,205,202,379,112,244,
077,312,979,796,652,270,533,246,478,785,985,452,907,880,306,815,133,924,111,
120,510,457,301,968,395,296,737,885,495,659,846,776,725,633,174,816,419,774,
224,550,237,284,993,478,029,198,718,085,088,488,092,473,419,683,353,003,781,
761,184,988,134,592,925,997,790,020,961,944,939,927,449,569,186,017,383,761,
680,860,259,537,159,154,285,411,091,311,055,767,904,339,357,845,183,906,287,
786,015,871,481,413,193,699,697,504,756,893,026,825,505,260,049,708,074,638,
074,874,921,460,278,836,852,308,111,395,379,881,533,921,604,214,804,515,837,
799,038,656,003,228,282,995,025,052,255,804,947,515,405,733,156,919,660,418,
720,442,447,466,138,149,864,198,058,614,108,140,342,776,300,294,620,224,079,
332,089,542,152,742,893,122,994,228,284,676,531,832,752,294,896,904,402,589,
308,445,211,007,969,950,450,023,310,778,484,409,826,900,651,108,454,513,343,
291,842,581,880,760,856,763,062,419,125,143,953,396,336,393,855,990,069,063,
529,462,707,717,005,293,156,776,913,318,224,239,943,555,844,367,119,569,676,
231,322,975,731,317,429,109,894,527,246,016,186,045,747,698,470,851,681,641,
596,852,479,303,124,509,783,688,512,089,942,557,373,287,143,339,426,607,871,
788,198,583,842,814,061,469,147,248,014,139,412,286,664,878,315,483,406,325,
998,350,288,529,941,411,858,543,442,189,291,717,960,131,740,294,101,303,025,
607,663,498,046,603,735,842,789,282,408,791,112,721,327,867,391,783,189,215,
372,030,864,912,343,599,198,992,351,345,724,316,756,238,734,546,323,705,713,
085,489,464,215,260,958,141,328,165,323,477,780,105,602,818,681,817,154,554,
962,545,881,308,243,318,158,167,949,331,048,440,731,003,612,576,343,784,132,
838,679,993,156,907,430,607,408,515,467,366,567,748,408,084,335,114,535,976,
323,777,509,545,631,690,760,988,487,280,326,948,720,888,672,506,213,492,427,
728,075,401,380,132,502,302,259,062,656,119,020,281,328,916,760,257,075,657,
379,677,835,471,878,217,310,852,465,660,902,646,681,697,020,726,594,168,368,
097,776,121,591,760,997,122,591,293,563,623,458,946,840,235,837,944,975,382,
665,084,529,244,223,102,515,084,933,632,436,595,856,819,738,054,627,657,445,
892,112,638,742,998,576,880,177,558,766,254,399,908,220,455,238,033,726,135,
709,163,619,137,288,152,483,173,764,313,997,599,460,299,904,023,258,665,805,
691,564,304,663,894,041,119,073,887,515,187,755,813,988,032,332,364,128,027,
767,253,017,315,042,565,265,985,593,928,474,286,329,728,740,849,948,616,831,
560,241,793,015,620,298,821,147,416,796,256,751,784,763,240,992,316,858,786,
734,812,403,834,068,557,323,472,274,218,712,748,060,024,626,439,352,845,157,
746,771,578,536,746,139,193,750,445,475,524,393,599,162,360,381,318,928,375,
281,308,157,510,298,626,900,247,502,797,930,624,989,506,966,335,277,713,027,
663,586,182,256,658,148,256,421,395,487,697,275,841,019,213,321,845,236,229,
783,494,581,886,236,224,601,720,057,186,933,760,501,857,598,042,632,036,426,
733,727,910,526,456,856,486,241,939,992,985,056,757,724,231,831,139,824,345,
982,228,292,313,848,209,698,735,522,315,556,292,932,559,172,012,630,387,985,
684,951,758,705,179,111,870,697,310,405,535,884,573,487,270,779,979,428,839,
798,566,402,223,539,090,778,092,761,511,444,249,222,899,554,812,889,877,559,
450,582,939,297,043,688,924,609,271,672,845,263,824,889,335,164,784,985,643,
223,056,768,504,109,025,135,302,155,397,608,207,602,735,454,241,316,561,062,
915,761,284,123,405,698,064,130,541,194,477,811,771,047,238,643,609,972,064,
355,216,685,598,338,374,762,561,837,486,166,152,970,350,794,119,239,165,299,
235,730,023,576,858,501,752,036,007,644,159,772,003,231,431,011,088,860,544,
476,892,854,353,602,664,955,420,345,031,210,390,035,298,747,134,549,452,368,
179,353,001,318,679,821,546,063,818,398,898,716,692,167,757,337,954,061,436,
507,485,623,684,518,279,543,377,571,318,156,812,845,556,951,721,237,226,386,
932,177,908,981,350,529,268,284,964,710,021,240,069,282,317,031,164,554,093,
135,633,328,148,782,459,346,602,215,973,143,596,145,512,418,854,543,925,481,
077,401,835,719,922,908,141,962,471,775,608,203,785,703,443,446,174,322,658,
060,070,527,246,258,155,971,114,172,027,270,971,570,973,802,115,007,964,553,
842,036,553,890,091,011,114,159,447,803,437,683,262,373,404,027,090,914,404,
965,918,572,006,145,233,053,536,191,770,731,423,759,915,348,159,728,517,959,
559,125,485,052,244,146,184,773,718,609,128,689,611,342,909,118,481,310,862,
397,259,883,024,452,088,162,904,193,926,560,536,246,154,506,642,321,885,696,
417,058,691,383,285,434,753,176,370,108,370,250,013,596,384,817,380,770,586,
730,587,346,395,797,411,565,545,705,863,138,252,321,739,808,951,537,622,363,
545,244,070,437,777,627,108,556,270,453,454,773,726,471,553,536,650,240,668,
415,404,690,072,933,515,210,297,083,341,319,629,045,343,422,811,113,122,984,
204,006,340,092,555,969,752,076,171,778,228,336,280,774,860,600,698,597,960,
835,253,230,545,883,991,514,489,136,547,993,039,576,451,962,344,914,534,589,
120,024,327,033,597,947,076,486,770,791,356,761,111,776,713,032,579,629,045,
766,771,660,888,551,606,718,052,720,049,537,771,294,381,126,528,935,837,041,
529,499,704,436,722,384,630,416,220,483,267,042,685,397,603,238,219,690,596,
081,671,965,840,358,457,562,059,201,748,846,330,949,171,613,462,713,789,894,
415,420,989,095,008,012,486,410,827,744,329,392,818,720,862,111,766,530,648,
608,049,231,218,876,953,258,315,233,908,835,027,075,441,122,681,900,781,892,
253,054,924,417,283,247,687,533,568,989,425,672,281,238,289,671,365,641,956,
082,171,975,476,393,417,272,343,019,728,771,810,464,573,504,423,281,562,474,
794,725,982,543,312,505,645,864,699,267,642,199,203,943,808,838,942,532,312,
951,616,983,013,640,519,520,665,051,870,384,118,579,846,042,280,307,303,477,
152,617,282,903,178,904,921,286,120,463,796,642,872,227,288,975,465,696,995,
322,502,816,771,103,155,380,477,688,542,090,236,165,512,927,361,701,866,861,
879,228,959,882,588,716,428,609,873,202,357,714,244,987,060,542,272,143,865,
950,408,939,076,773,606,198,133,142,404,019,941,800,306,802,176,622,467,918,
952,653,640,018,699,178,896,370,648,105,473,138,051,539,728,978,653,694,073,
012,659,716,430,472,055,349,836,268,768,025,092,527,930,410,426,332,130,257,
869,256,496,135,474,989,673,431,295,018,761,649,762,690,708,903,905,621,008,
854,290,547,509,318,088,065,990,055,553,951,079,828,632,353,192,171,380,385,
026,530,338,270,809,547,067,972,695,001,077,539,462,349,793,238,184,050,329,
408,802,297,309,699,423,213,910,486,005,098,144,399,171,351,854,319,583,004,
829,988,333,672,196,939,412,268,299,661,569,887,215,303,674,520,320,938,494,
747,825,024,851,491,659,078,663,979,545,717,053,904,607,950,890,917,443,876,
504,873,886,341,380,636,411,528,172,055,561,644,662,036,015,890,622,021,972,
256,427,393,701,498,729,359,981,482,648,270,345,536,592,611,609,777,541,581,
417,098,231,471,662,390,521,595,881,185,104,556,413,748,648,791,639,713,347,
858,056,625,245,992,042,230,958,517,254,294,849,762,572,266,320,135,881,507,
962,991,589,627,910,975,454,632,765,745,063,134,954,009,073,929,971,233,298,
374,606,374,532,681,489,128,559,904,143,476,101,122,943,445,029,705,020,442,
339,279,296,381,068,256,309,059,593,759,583,024,267,374,839,068,254,483,608,
729,824,043,437,695,543,946,518,380,556,910,853,861,562,887,669,752,902,090,
981,580,608,058,030,310,119,634,578,055,008,927,450,859,903,127,634,242,268,
322,206,303,743,639,722,934,222,569,868,542,823,436,230,081,467,793,082,976,
487,860,837,379,591,772,643,743,846,213,284,785,003,347,337,126,663,228,384,
222,768,428,545,432,511,169,189,414,828,080,108,514,717,122,591,288,052,769,
986,839,991,653,626,325,254,905,968,351,335,289,902,792,466,711,565,952,233,
129,910,756,996,978,117,334,798,498,923,755,618,351,068,939,287,682,842,070,
466,277,728,327,205,190,986,554,705,871,559,672,349,629,778,018,709,322,926,
005,769,037,265,208,578,299,606,400,391,103,475,785,570,052,596,037,505,250,
746,016,991,810,170,228,691,084,488,929,710,887,775,603,449,130,391,731,169,
589,124,703,828,439,978,556,018,420,381,238,189,205,720,465,436,587,311,993,
481,642,667,057,617,396,883,522,240,468,376,817,119,770,857,985,879,465,757,
136,469,611,782,524,804,419,135,144,809,654,504,585,280,327,348,603,907,519,
760,205,532,464,690,145,388,813,704,742,365,045,399,968,762,780,848,578,578,
714,018,545,252,581,430,731,838,696,867,970,175,685,089,911,197,530,529,845,
684,824,429,968,141,954,322,823,828,171,960,273,993,332,806,329,383,877,365,
389,870,146,171,242,084,760,351,017,876,469,151,979,819,327,879,107,702,729,
767,037,536,711,984,191,506,011,997,480,308,361,510,939,238,132,773,947,874,
650,746,468,933,592,127,339,028,307,862,563,318,408,497,071,367,684,996,716,
910,952,420,576,738,353,319,246,986,448,799,846,223,229,084,163,733,932,895,
125,671,510,699,635,880,297,175,893,791,557,494,777,521,512,961,909,933,504,
561,140,871,432,250,917,083,223,066,281,974,712,643,624,395,752,634,850,955,
860,139,239,383,873,707,117,883,410,411,433,758,316,577,138,971,962,591,081,
079,024,709,629,982,175,518,344,959,725,742,710,547,655,756,136,933,464,819,
629,656,784,212,067,236,777,776,501,977,073,313,603,609,657,937,999,756,912,
332,369,436,841,391,545,420,362,530,079,745,934,053,553,724,007,512,227,575,
523,512,376,996,408,712,139,483,434,610,948,304,333,633,030,085,751,123,101,
527,750,173,140,474,944,432,032,214,222,606,758,172,773,091,521,128,162,885,
172,546,850,544,996,111,972,580,321,243,615,209,814,848,477,525,808,471,842,
491,962,022,151,840,425,277,642,120,850,404,323,861,430,261,687,614,465,111,
675,703,737,564,639,785,214,713,592,048,518,621,764,803,242,311,954,067,546,
483,500,484,962,953,329,291,542,710,029,283,286,007,282,863,153,240,434,289,
685,566,048,318,650,794,932,325,995,963,586,550,054,225,243,751,090,333,560,
423,350,348,357,700,673,650,400,290,825,902,452,640,445,174,328,128,071,011,
294,416,426,425,076,872,630,031,791,507,626,409,224,123,227,579,747,401,354,
514,833,798,289,333,346,786,115,862,819,871,932,417,851,225,494,496,698,811,
183,622,400,248,087,098,920,345,085,577,975,217,084,442,120,208,142,265,400,
699,044,505,770,513,163,268,981,727,148,840,488,686,457,065,765,220,402,338,
580,183,188,140,211,110,089,944,049,885,026,349,406,637,866,639,312,781,020,
267,038,966,012,110,221,118,523,203,261,480,150,445,639,018,779,288,370,854,
246,124,209,201,325,948,823,561,673,577,130,353,216,725,106,863,661,968,689,
208,770,386,424,171,087,341,798,446,842,401,908,006,173,102,659,090,702,647,
902,583,600,817,763,170,492,658,767,228,225,121,122,285,128,011,341,540,496,
984,935,427,778,724,095,969,150,128,497,894,207,105,463,834,536,806,427,290,
639,271,430,507,748,384,111,022,761,632,023,507,063,096,221,341,483,217,485,
592,156,583,067,450,931,985,154,561,196,890,128,963,962,127,438,091,858,628,
244,563,650,048,667,764,729,325,202,916,956,309,353,646,557,723,639,616,459,
143,652,527,348,781,365,481,336,814,973,947,281,037,470,343,930,371,325,431,
975,290,380,185,843,300,325,878,584,710,636,128,683,801,423,473,375,512,925,
658,703,109,600,333,686,897,449,747,134,001,753,530,967,759,525,158,592,991,
517,993,080,235,297,201,496,422,241,206,318,873,805,625,530,480,920,725,269,
554,228,623,354,692,657,457,176,048,745,373,627,922,285,364,653,969,437,557,
792,267,194,682,694,710,146,359,795,791,320,915,797,373,643,631,432,016,218,
571,632,935,993,948,169,786,600,854,991,142,554,438,756,811,417,971,504,955,
263,235,847,198,875,335,432,264,923,141,816,022,492,367,588,447,085,494,905,
399,035,021,407,928,364,136,923,023,963,990,158,010,736,512,676,103,250,619,
443,536,346,013,987,181,175,843,652,758,156,630,136,449,353,626,214,007,303,
937,069,742,196,211,791,260,930,427,737,393,293,031,588,209,202,307,857,893,
279,576,559,439,838,709,446,733,216,507,081,948,445,738,997,938,272,814,939,
898,264,414,615,669,108,381,102,361,421,230,634,514,667,244,567,250,156,065,
676,426,825,799,612,938,717,289,602,978,104,123,874,529,519,286,007,949,784,
020,681,230,019,936,914,262,568,183,358,337,699,839,898,051,118,570,029,869,
395,709,976,571,513,676,459,342,898,368,365,554,712,058,221,215,916,162,114,
384,878,971,361,059,146,132,905,533,900,009,555,119,655,701,685,821,811,991,
974,487,838,355,500,269,363,358,100,898,298,594,179,041,647,960,935,628,841,
580,416,700,704,850,490,131,510,566,498,348,460,086,828,868,488,802,225,006,
924,884,457,265,601,000,308,656,359,583,401,444,857,231,918,606,576,379,115,
459,487,848,574,589,753,082,838,406,312,575,706,399,193,502,643,994,011,633,
337,958,646,316,141,163,058,924,017,958,898,970,729,559,254,714,983,830,622,
859,190,687,632,676,773,199,462,758,494,185,208,944,117,455,087,608,473,878,
291,588,273,713,712,377,927,499,909,222,955,555,929,181,471,387,879,502,575,
325,084,252,803,899,967,219,281,534,292,513,532,203,045,941,740,230,839,254,
290,880,608,413,693,962,930,901,300,121,847,653,966,941,930,084,999,598,025,
249,214,914,117,606,072,120,758,119,307,948,918,271,547,662,781,622,606,853,
097,096,677,461,135,988,201,062,255,684,286,141,727,329,758,256,844,288,367,
603,843,879,055,634,946,798,650,745,586,023,580,289,089,408,274,301,091,684,
632,872,724,236,577,365,929,731,902,696,525,770,580,487,113,091,520,721,056,
500,248,085,855,589,283,436,336,667,012,528,672,624,893,423,746,153,988,979,
639,397,697,509,489,740,369,138,124,201,882,189,807,489,868,000,755,019,369,
252,200,354,719,926,979,925,486,762,072,676,404,845,590,113,462,423,748,710,
339,155,249,813,785,965,361,114,464,229,333,807,683,350,387,399,560,414,749,
809,006,133,323,733,228,862,858,576,049,734,019,994,113,550,802,539,903,650,
467,222,116,928,073,468,689,389,173,428,365,682,635,966,596,380,930,180,865,
507,303,084,859,297,432,585,746,532,067,352,455,981,230,918,233,393,905,460,
136,776,049,167,431,462,614,041,345,318,611,302,225,895,934,109,076,851,213,
195,790,881,761,728,134,227,609,901,401,531,258,762,800,759,186,132,607,068,
944,667,087,963,937,843,098,710,895,642,661,472,351,814,326,959,116,628,716,
980,942,573,632,053,989,364,815,774,781,113,891,399,049,878,098,711,747,216,
308,348,042,332,818,012,152,472,534,517,844,311,718,049,304,223,356,279,706,
803,417,259,630,500,304,584,771,091,021,503,090,907,190,111,398,235,385,769,
242,862,535,682,155,410,804,897,354,004,610,631,721,029,496,546,381,938,139,
265,200,226,039,094,820,244,883,854,921,497,728,366,359,074,551,519,637,586,
810,403,073,003,367,247,073,885,531,672,780,989,249,564,935,274,386,835,149,
695,040,428,722,540,053,126,134,676,176,147,574,957,572,612,628,525,238,210,
123,030,459,369,815,185,514,097,494,231,044,312,599,736,042,180,022,071,258,
536,523,420,239,036,699,870,035,712,734,744,342,110,388,262,250,863,420,357,
202,390,726,076,793,567,207,412,850,806,782,340,805,144,796,264,843,945,790,
192,958,901,860,223,176,836,598,079,505,052,521,133,246,577,691,204,845,639,
269,853,719,988,357,803,972,321,860,395,678,595,120,181,428,158,353,636,790,
024,015,910,736,759,556,766,958,350,996,879,667,745,129,717,155,475,718,727,
095,216,404,100,276,586,465,134,714,839,462,904,914,219,545,700,334,991,747,
121,480,114,561,953,935,655,606,398,810,651,602,728,035,327,611,186,305,782,
151,671,138,868,734,006,710,563,171,515,314,599,388,927,056,521,966,019,734,
811,619,527,655,311,883,445,122,765,793,257,833,354,905,088,220,161,854,171,
674,607,964,639,564,357,307,187,763,004,840,062,756,357,985,427,496,945,234,
363,867,305,524,329,042,184,311,197,397,056,557,369,183,029,997,940,210,018,
483,108,855,303,795,980,213,925,736,683,630,933,609,639,272,545,019,221,020,
765,857,606,968,294,678,789,975,433,833,626,973,471,861,890,881,951,570,741,
450,779,998,018,346,945,554,772,666,628,831,275,621,636,217,928,242,571,667,
466,156,657,663,724,456,082,380,712,733,647,396,430,211,400,510,655,679,680,
943,361,670,405,526,871,824,895,873,259,460,319,752,109,006,679,516,579,090,
703,132,176,189,920,865,821,045,746,832,228,118,182,610,547,251,970,632,853,
320,897,554,414,463,611,246,240,853,621,958,299,093,349,100,933,583,901,585,
260,858,999,284,817,420,081,392,541,498,596,764,415,744,972,482,931,846,676,
966,905,950,019,702,403,902,999,759,520,038,535,242,828,521,993,648,889,218,
708,103,060,783,326,930,939,299,577,657,908,130,555,978,759,062,257,326,067,
740,385,263,149,468,896,287,063,123,926,223,614,170,227,597,280,133,516,267,
636,482,997,312,781,832,933,551,506,555,582,487,040,030,382,046,053,464,328,
067,071,275,606,457,276,644,605,018,582,010,523,298,247,835,048,145,575,690,
214,608,616,162,667,563,067,720,224,667,115,107,339,541,413,555,229,604,573,
483,952,376,512,445,331,667,423,097,098,901,153,528,915,275,518,727,702,297,
547,446,022,844,278,980,648,785,155,476,034,902,451,533,503,384,498,181,738,
829,363,073,079,402,293,795,327,637,254,849,228,443,996,648,766,863,435,873,
299,504,129,078,705,914,314,810,325,466,613,940,931,009,333,829,747,111,314,
489,970,617,972,469,668,833,720,630,054,983,588,462,418,655,464,816,503,899,
003,425,985,512,383,893,735,363,402,077,651,915,760,334,759,377,148,797,306,
442,026,987,080,649,628,037,411,793,039,704,651,929,722,491,037,276,823,295,
639,321,538,425,504,299,744,464,180,215,617,680,067,786,526,531,366,174,731,
763,006,181,483,571,032,651,674,108,383,544,225,402,759,040,488,584,142,450,
514,428,835,198,836,693,986,376,806,455,569,865,357,130,162,737,924,047,423,
200,939,531,259,194,178,536,027,059,644,051,369,185,691,504,471,559,208,478,
499,358,489,269,744,105,580,733,521,398,568,038,434,706,379,080,329,500,347,
857,213,493,660,288,990,779,790,188,660,148,203,867,487,357,901,027,376,075,
119,650,736,562,014,598,283,994,418,353,250,675,800,451,838,782,195,312,358,
460,908,624,741,417,453,961,780,490,859,258,021,552,833,774,085,216,980,737,
512,929,311,002,864,819,010,510,839,581,083,767,159,822,365,463,556,462,294,
628,893,838,958,036,017,140,886,438,798,979,222,111,108,366,523,347,065,984,
818,029,643,883,296,416,691,129,511,638,939,475,851,373,888,408,452,560,855,
547,642,072,721,064,062,016,274,536,206,391,952,548,981,891,627,660,723,071,
980,021,362,456,040,456,222,584,675,308,091,584,999,089,264,796,715,353,487,
907,136,991,620,186,549,495,855,050,043,466,525,234,706,465,976,155,188,880,
068,275,040,252,342,215,830,656,493,701,287,634,412,689,451,630,520,298,701,
234,923,330,047,746,642,216,960,604,794,569,767,815,691,957,426,932,632,419,
015,757,429,933,798,201,616,459,286,614,222,575,990,637,740,084,029,398,283,
069,474,922,741,623,324,282,443,538,921,446,369,890,012,455,646,688,346,126,
010,607,818,251,864,151,085,755,821,553,057,153,637,951,937,697,916,057,857,
904,282,228,954,134,732,265,771,055,441,783,551,704,574,993,987,050,361,760,
496,910,527,870,554,270,981,670,770,225,312,938,556,819,386,005,571,261,829,
483,369,833,251,087,197,994,018,951,176,594,109,425,274,866,636,227,378,848,
498,668,747,528,653,004,571,042,055,132,147,192,794,310,724,764,918,649,534,
334,972,162,271,848,230,971,146,718,618,238,064,010,857,839,364,473,324,241,
569,150,734,792,388,295,280,569,328,971,030,044,036,744,799,071,900,709,985,
248,371,318,810,749,163,657,976,181,717,905,157,165,793,751,644,135,486,186,
821,654,864,743,505,328,577,828,442,781,753,634,679,452,499,016,050,987,531,
642,852,352,474,777,209,499,829,081,544,661,612,226,313,399,950,279,774,920,
404,754,837,788,400,577,050,335,722,758,478,451,593,282,719,138,675,379,155,
153,188,276,635,458,938,057,303,285,218,311,598,425,466,412,644,635,083,185,
388,048,701,675,544,621,848,159,296,673,493,970,887,398,071,487,449,618,391,
920,830,831,388,738,053,197,568,535,774,038,042,836,997,863,904,674,863,585,
400,812,596,127,113,806,851,189,434,071,312,771,361,578,738,836,783,431,197,
515,699,704,303,968,961,570,864,133,838,960,042,815,456,723,600,247,004,817,
830,860,255,089,353,335,631,908,342,516,961,895,038,170,588,391,488,156,756,
279,785,998,203,725,836,493,219,796,109,206,339,735,769,112,607,009,987,785,
415,421,377,462,730,040,501,788,457,337,767,772,473,780,205,696,092,294,306,
833,805,084,816,129,149,955,914,118,414,206,009,665,958,560,320,111,481,282,
019,901,143,910,134,761,190,080,986,164,887,710,213,789,294,514,624,063,637,
854,186,690,738,701,654,773,291,859,831,776,998,091,810,145,945,855,154,943,
498,849,937,743,514,212,044,331,524,946,935,390,142,654,176,419,651,864,875,
113,105,233,414,870,836,024,300,332,826,666,507,246,874,862,746,429,566,460,
531,479,101,090,243,522,355,783,534,042,655,877,941,587,638,782,943,710,042,
149,575,577,326,728,294,015,678,823,448,246,274,628,307,518,551,998,149,021,
764,706,613,552,208,425,588,936,334,394,744,179,956,564,331,989,288,194,479,
969,524,695,920,447,934,869,298,980,065,808,065,519,602,566,356,538,403,105,
316,778,452,381,578,323,764,156,543,107,058,934,036,982,088,009,580,965,301,
656,039,272,048,250,203,426,587,180,567,782,783,869,504,197,802,543,967,991,
872,186,160,365,775,662,676,731,850,978,309,970,968,704,233,198,736,198,837,
182,521,151,315,350,750,439,184,578,810,622,102,045,874,014,135,231,616,251,
605,436,781,268,730,531,254,642,151,368,731,481,247,041,352,708,059,272,655,
596,985,995,063,586,530,551,190,859,416,576,384,487,008,641,213,212,039,777,
523,702,315,544,300,832,433,979,047,125,927,603,952,448,315,006,249,634,497,
201,593,889,537,336,708,418,468,545,466,299,214,437,984,845,092,700,599,367,
246,421,153,972,188,180,776,206,773,881,311,204,343,807,183,731,240,114,562,
525,189,037,144,778,963,749,405,804,298,794,253,309,900,957,608,680,212,108,
363,520,169,320,749,994,988,406,961,565,246,342,013,844,565,091,872,269,914,
336,879,073,954,346,559,412,946,860,954,274,398,555,964,879,919,152,203,825,
262,469,212,718,660,378,980,558,016,728,625,600,751,025,773,749,140,780,475,
477,633,431,212,858,165,908,540,776,896,998,248,319,017,598,556,653,422,176,
233,231,471,112,584,004,825,520,124,525,824,914,223,155,764,407,924,159,727,
639,253,837,186,031,473,533,447,236,256,358,844,573,129,220,652,299,093,772,
503,669,136,748,882,907,692,076,790,959,641,753,517,350,209,881,935,750,261,
523,973,832,629,360,811,811,845,949,063,062,564,919,702,639,804,328,683,215,
564,276,867,564,059,053,991,734,070,625,492,956,716,454,143,390,103,580,361,
707,824,863,859,063,836,940,556,130,863,983,936,460,281,790,674,330,561,356,
591,018,424,339,612,260,509,407,222,078,033,220,034,960,093,508,630,072,987,
793,872,272,453,296,126,870,505,854,283,692,791,459,497,790,060,379,711,552,
889,055,278,483,755,416,061,711,719,343,878,918,344,423,141,991,926,047,573,
145,765,975,942,183,973,224,109,957,390,917,991,603,454,328,913,932,365,522,
737,279,106,626,319,046,253,767,944,162,260,116,234,468,407,452,401,370,279,
934,527,890,126,456,277,685,054,166,923,278,478,942,082,359,766,670,931,395,
352,808,419,995,025,201,928,011,130,183,772,336,833,618,602,722,176,877,896,
592,842,352,751,897,158,738,631,793,844,679,486,367,269,711,117,822,077,644,
503,483,300,008,153,922,375,718,661,035,775,870,270,568,225,581,646,577,584,
452,903,889,836,277,356,787,267,627,451,416,812,279,550,961,977,812,795,447,
918,727,881,549,531,924,602,267,157,086,686,821,140,527,475,247,794,081,477,
834,988,444,065,039,004,785,427,616,695,189,002,461,814,819,407,165,935,775,
459,863,339,411,259,737,691,711,051,470,040,048,105,145,300,509,863,426,606,
980,148,730,208,552,062,092,178,714,955,491,923,686,094,348,298,628,249,743,
845,638,520,961,359,655,095,323,618,156,491,891,962,634,787,369,950,847,902,
173,404,287,417,409,995,222,195,641,962,758,673,922,104,394,993,525,806,770,
540,941,913,915,700,879,439,763,695,639,357,191,609,065,897,153,683,273,795,
864,239,538,621,424,136,463,216,524,639,562,622,171,368,824,393,608,387,601,
196,264,680,395,567,622,761,425,340,464,687,029,957,576,144,251,954,279,919,
557,090,017,968,163,786,146,560,164,076,045,600,522,350,118,044,899,232,164,
025,541,721,366,037,484,214,501,025,647,920,039,848,194,050,875,620,517,134,
697,632,674,150,717,744,829,141,081,396,144,867,778,418,566,002,866,854,418,
010,038,164,281,933,644,698,905,623,324,709,491,445,429,256,887,379,552,940,
660,032,817,404,058,752,431,276,647,003,548,822,706,870,815,349,852,194,186,
608,035,121,695,983,111,686,466,755,504,444,318,731,250,410,195,414,153,670,
105,997,175,762,736,963,466,763,286,369,657,502,072,207,791,295,095,746,635,
854,356,563,187,008,860,654,541,572,518,356,046,850,924,902,700,746,684,386,
219,765,494,702,739,382,432,593,866,892,950,938,357,854,838,696,720,212,985,
626,778,909,954,921,351,765,113,046,206,291,402,914,050,954,054,099,614,987,
253,915,555,697,700,941,381,448,041,250,094,804,650,340,129,090,412,863,797,
056,719,084,581,261,161,351,105,380,543,862,508,382,403,660,265,180,784,583,
134,291,326,221,242,448,682,738,773,299,545,412,400,884,679,664,912,512,262,
310,443,525,488,711,123,405,695,498,267,982,868,215,943,019,721,414,880,854,
756,309,736,375,617,208,356,373,774,388,277,675,998,551,565,757,752,926,576,
527,670,460,436,153,221,397,449,642,621,773,957,296,796,065,059,781,950,355,
111,205,044,738,276,217,651,027,682,852,340,779,607,386,971,695,451,784,396,
677,213,750,578,620,295,735,592,547,336,630,542,206,499,880,212,435,194,732,
048,915,206,431,233,411,758,165,427,982,074,013,068,913,770,066,917,137,596,
471,451,282,837,378,299,655,585,859,657,753,292,456,551,880,171,060,698,973,
376,664,768,345,408,758,596,266,361,162,077,722,340,105,849,140,934,522,580,
831,134,368,722,296,892,133,460,046,206,872,851,567,432,530,991,072,136,454,
907,131,510,675,631,932,833,466,220,961,202,814,526,087,261,995,461,538,542,
326,313,230,031,086,814,244,891,839,182,863,383,626,332,054,692,741,779,262,
975,965,312,449,293,088,622,273,144,625,676,117,105,437,758,641,830,891,689,
947,740,777,556,758,888,395,294,980,719,338,270,514,654,315,532,349,378,648,
957,454,923,626,574,933,604,107,361,740,574,605,510,926,699,195,543,576,452,
644,235,266,488,421,972,415,755,751,371,989,242,437,602,533,518,138,333,750,
669,576,234,140,743,668,862,668,892,256,730,740,627,955,028,114,406,758,110,
204,968,889,984,623,389,472,250,446,067,937,131,631,802,938,142,429,439,875,
984,508,210,719,646,557,257,954,366,908,566,333,317,501,014,868,675,175,803,
620,366,247,588,895,559,770,869,147,278,315,015,523,381,777,629,273,519,904,
523,846,327,085,944,833,478,149,088,375,551,324,931,005,683,567,901,407,308,
347,152,978,689,044,600,518,801,135,663,080,449,177,012,926,613,297,980,057,
736,134,619,943,974,795,669,642,236,648,120,387,127,731,188,074,271,594,958,
925,843,724,122,983,946,604,078,749,373,532,538,120,457,353,279,087,475,396,
282,061,917,645,310,409,342,087,232,541,521,997,861,527,252,485,170,318,263,
659,734,977,538,954,935,802,137,185,823,863,301,685,801,611,069,048,478,704,
908,363,522,227,796,509,074,344,472,857,063,906,573,515,677,568,373,483,437,
772,908,877,698,010,358,700,054,841,703,982,882,849,524,949,646,899,928,941,
632,489,852,399,697,193,069,704,299,025,068,655,300,435,423,918,256,859,026,
095,592,999,380,314,238,795,985,416,813,901,791,219,863,478,857,186,539,146,
157,100,576,491,823,046,959,709,990,088,079,657,930,008,195,442,050,123,349,
094,074,307,655,078,998,402,921,312,485,470,756,374,692,336,185,819,069,084,
802,574,760,330,462,263,249,683,880,042,619,282,843,998,589,938,195,594,710,
830,732,871,318,741,355,187,766,637,395,210,327,431,730,098,964,518,283,992,
457,609,934,014,346,699,380,659,050,210,182,285,385,667,817,507,465,072,694,
593,256,400,001,084,886,954,008,978,247,897,213,702,785,483,537,688,032,303,
510,325,398,399,982,492,853,533,010,942,912,744,804,684,534,789,560,917,426,
784,221,511,262,486,482,544,039,594,656,900,338,309,681,100,527,536,451,415,
862,265,147,331,733,389,328,224,140,466,082,694,313,540,898,441,532,180,380,
993,175,565,457,189,743,340,365,058,754,254,918,316,805,710,795,890,195,927,
874,612,807,912,999,705,275,648,259,959,103,728,865,788,963,775,959,147,292,
208,272,881,175,689,657,126,084,523,736,905,981,023,149,733,014,599,299,639,
274,235,366,959,507,794,643,835,269,607,559,238,244,454,692,776,557,961,412,
380,039,515,098,535,183,531,195,930,611,285,164,679,567,470,441,840,371,998,
406,022,913,941,627,602,646,790,034,986,661,553,331,281,011,508,464,376,855,
590,060,056,528,251,581,869,310,661,510,335,553,312,765,779,800,311,191,073,
377,468,574,323,711,700,674,635,054,837,351,474,867,711,005,457,305,285,282,
652,159,719,824,706,311,814,178,729,151,866,030,882,929,387,326,750,700,254,
192,811,662,126,233,442,423,089,948,328,400,802,505,632,298,152,231,763,349,
498,870,663,117,771,218,524,855,119,734,784,805,997,594,897,153,393,304,472,
624,276,539,030,055,109,240,827,749,664,813,355,647,675,105,651,256,768,822,
234,854,504,971,932,174,212,750,357,477,729,105,038,531,503,411,922,492,245,
461,059,505,384,333,958,914,662,621,148,079,886,947,336,451,883,356,388,008,
830,962,375,281,771,705,789,900,063,579,099,388,471,678,747,622,877,263,996,
649,904,356,981,400,740,129,233,726,611,982,574,008,169,621,104,369,045,667,
599,283,365,768,851,829,406,401,534,103,430,999,384,611,856,329,181,290,578,
121,730,219,170,510,966,711,616,775,465,492,398,483,408,416,796,231,333,989,
854,058,276,137,757,941,350,863,303,390,721,410,957,717,956,621,175,637,972,
075,043,120,882,695,550,525,974,806,683,531,041,356,582,137,244,117,447,174,
445,453,198,690,531,654,824,208,091,785,952,307,638,033,565,051,186,126,810,
738,438,937,054,635,649,954,567,604,396,401,372,054,136,224,300,069,556,609,
892,173,211,282,744,849,416,221,345,514,120,728,784,938,606,133,108,983,445,
242,709,556,209,575,907,815,727,088,761,708,684,975,337,148,919,602,084,113,
604,511,586,998,470,739,055,092,319,376,996,446,879,682,606,799,183,485,588,
702,109,620,672,707,400,570,491,231,027,968,430,360,140,555,893,988,302,918,
248,938,153,745,137,527,389,764,756,181,381,862,180,052,008,782,500,819,337,
811,083,097,633,190,496,941,243,763,204,294,063,303,125,467,839,623,584,691,
675,681,476,110,480,392,856,257,149,412,494,695,442,490,914,339,137,481,184,
771,676,281,224,409,585,451,068,592,630,916,799,128,590,206,718,150,400,797,
747,385,151,586,602,795,988,718,424,767,607,150,503,098,963,538,665,293,225,
836,367,744,581,360,280,543,602,906,327,531,031,719,568,068,306,077,130,609,
349,158,739,678,071,452,584,328,305,865,761,774,423,433,097,388,703,350,559,
195,512,035,039,804,515,592,388,419,310,374,590,554,572,964,937,545,167,175,
981,137,064,869,288,398,304,337,703,345,885,898,129,870,007,889,306,835,042,
314,801,369,102,721,206,838,778,264,364,528,936,167,961,056,383,250,382,211,
680,949,024,116,647,715,760,042,337,285,487,412,841,252,299,807,035,310,432,
342,053,134,112,908,843,927,274,809,779,627,371,171,199,047,077,552,273,972,
866,689,617,835,492,934,405,775,478,011,978,053,768,314,306,747,097,177,822,
072,942,088,930,540,065,389,243,766,047,183,352,832,696,084,482,449,802,690,
264,367,684,262,223,266,867,333,330,449,420,863,704,738,673,349,205,795,310,
499,378,049,435,597,558,286,723,847,065,171,949,610,053,840,195,831,722,948,
083,204,909,098,045,349,669,764,847,957,239,391,022,617,210,945,029,249,287,
226,970,736,158,563,688,709,951,067,376,447,751,769,107,544,997,309,033,077,
098,837,313,181,585,932,132,176,733,686,968,133,646,732,816,168,794,966,636,
405,471,014,910,521,009,078,900,586,554,027,140,095,362,803,752,642,263,869,
525,427,158,080,227,213,815,045,178,300,428,690,753,822,084,857,175,229,568,
525,012,970,300,924,521,520,980,497,751,246,023,643,106,522,133,782,592,975,
033,490,607,937,610,478,132,081,646,503,279,551,755,647,971,106,779,659,368,
771,376,396,661,765,798,828,411,845,310,129,284,117,647,915,160,188,336,683,
565,733,547,907,772,330,091,317,279,574,409,834,043,565,700,991,765,274,137,
035,509,054,126,880,355,695,060,476,528,922,097,346,684,383,020,966,394,451,
358,020,767,412,705,408,383,827,291,957,471,290,412,563,054,337,607,646,281,
354,954,407,543,672,162,846,359,553,567,638,605,504,385,658,362,751,391,693,
076,047,261,510,266,624,105,064,355,850,885,376,142,816,293,069,668,478,522,
673,321,336,238,647,631,227,902,013,322,147,285,504,139,903,580,391,592,470,
427,753,798,647,818,120,700,660,782,922,483,786,013,339,369,922,135,935,986,
653,532,236,932,991,557,975,115,955,518,979,640,747,117,846,873,041,892,115,
731,559,791,470,209,848,761,705,036,614,732,984,977,632,571,151,906,336,768,
461,904,874,418,375,044,669,894,172,574,745,074,819,374,580,397,369,667,159,
610,670,845,440,868,510,957,314,813,169,155,023,800,165,318,778,582,977,713,
232,880,869,975,150,174,869,235,292,827,344,400,070,003,426,799,160,265,346,
985,494,180,606,992,447,004,352,792,916,617,771,579,531,408,050,417,066,037,
986,068,335,612,398,905,643,871,591,454,036,103,523,552,768,267,086,601,273,
070,105,760,321,163,149,299,175,265,348,584,745,380,502,342,981,036,621,889,
997,630,307,444,673,306,916,073,483,285,161,736,683,152,934,816,501,046,177,
707,597,665,262,278,119,694,863,184,941,691,868,568,711,965,544,502,237,471,
699,896,146,823,669,416,789,760,089,691,754,630,271,824,548,930,669,979,366,
000,332,202,842,808,245,447,859,768,657,409,544,001,046,032,698,908,528,339,
377,351,346,696,364,485,603,569,018,326,055,503,251,476,948,406,840,295,709,
386,953,818,678,225,403,141,199,610,792,188,650,133,395,817,030,669,369,309,
630,529,484,006,121,234,167,973,500,291,251,811,752,395,219,579,873,826,263,
549,865,656,693,770,913,886,002,570,103,496,159,295,629,786,356,208,469,810,
767,880,677,782,976,896,883,132,561,602,910,580,705,948,909,755,757,949,272,
133,204,456,963,326,319,225,783,122,811,808,187,559,583,000,116,357,729,914,
508,025,578,674,057,055,583,056,129,995,774,781,256,137,284,858,423,468,206,
399,352,135,982,075,541,233,544,288,504,584,021,495,998,258,419,221,380,105,
399,988,778,916,338,045,421,966,986,038,753,368,351,018,754,692,482,411,010,
561,563,251,534,333,840,123,689,843,133,168,546,159,739,987,955,630,877,219,
286,202,931,513,313,097,221,931,718,236,549,198,969,391,274,595,945,679,291,
986,906,333,613,029,884,336,533,550,648,908,721,114,294,277,565,308,361,639,
038,206,351,005,071,282,250,965,609,474,197,534,999,393,733,152,928,193,065,
687,451,553,428,824,250,373,446,245,858,611,958,442,931,920,169,234,263,252,
136,512,221,477,329,640,940,081,979,991,193,939,514,243,414,294,689,189,696,
644,466,810,906,392,834,961,048,471,076,655,443,055,832,562,259,378,590,787,
599,453,716,692,377,582,452,604,459,221,969,381,603,228,434,925,331,348,359,
796,159,863,623,773,162,510,316,636,307,943,713,615,204,177,331,006,001,631,
328,346,051,208,987,128,673,226,367,184,120,093,245,171,207,413,773,411,951,
046,650,343,543,112,401,317,016,866,946,674,840,407,049,586,592,084,595,112,
571,426,595,054,546,656,921,001,471,038,904,707,595,825,911,284,126,280,523,
169,292,870,208,232,705,156,686,391,698,632,072,891,644,440,817,206,161,241,
935,995,602,254,204,531,491,788,946,097,727,713,582,376,420,401,709,699,590,
892,493,867,137,552,459,107,857,786,627,997,359,078,681,853,413,051,458,160,
141,868,460,408,032,362,829,306,513,147,369,483,885,647,644,262,432,769,923,
925,350,766,422,249,565,339,544,700,641,085,018,030,809,608,771,032,094,394,
706,929,871,346,739,403,926,046,020,784,081,033,454,184,404,969,151,370,552,
613,541,672,982,841,393,679,153,960,785,370,544,060,012,331,545,545,156,731,
215,794,194,298,406,584,595,284,037,591,093,096,798,456,932,431,953,898,576,
682,355,460,328,021,595,619,116,551,572,141,649,782,132,527,884,184,985,605,
213,320,136,692,157,325,643,700,044,986,887,408,646,684,690,252,876,129,255,
968,065,834,362,899,280,607,131,732,003,796,412,383,107,517,917,993,995,884,
927,131,471,191,557,932,872,094,240,267,311,558,411,507,758,721,362,401,322,
607,667,425,663,357,166,160,624,434,916,545,509,914,269,034,066,937,429,961,
605,561,068,209,776,278,396,376,634,651,605,297,928,320,790,420,796,310,759,
371,430,262,576,160,087,280,121,038,280,032,366,991,122,829,477,837,412,274,
637,652,622,259,858,412,163,546,339,529,058,108,253,553,174,542,434,549,526,
565,961,345,720,599,721,377,086,788,512,091,273,936,928,898,309,051,386,052,
124,497,075,589,308,045,870,692,711,688,644,157,720,927,725,944,678,467,647,
643,039,606,071,300,283,989,628,808,981,954,628,212,165,184,969,547,075,152,
163,266,578,185,142,293,707,734,598,735,562,954,230,494,084,593,867,288,731,
673,422,200,103,360,995,680,387,269,519,144,966,245,894,691,237,490,375,278,
039,871,517,079,601,060,607,447,509,406,679,620,551,331,743,632,870,866,753,
034,893,961,051,046,080,436,554,073,984,446,562,757,166,689,807,450,295,053,
324,295,818,942,368,121,008,167,406,921,958,481,563,095,219,527,051,261,743,
406,898,002,599,734,301,647,267,106,233,383,160,453,690,027,504,746,363,282,
943,336,069,863,433,169,809,118,826,139,882,597,116,927,261,154,175,142,776,
639,446,746,028,572,732,024,946,117,109,945,031,142,399,043,395,475,735,761,
660,944,773,715,329,436,507,410,924,640,285,669,195,000,992,253,959,150,658,
620,325,207,211,198,073,032,119,290,458,539,305,873,184,393,235,603,935,754,
805,451,658,786,869,615,869,309,743,019,809,343,124,871,455,498,773,776,430,
484,461,738,952,249,085,480,580,464,804,531,610,820,732,990,707,778,656,591,
635,220,749,349,424,540,679,021,291,949,722,265,633,748,636,990,443,650,021,
910,075,456,599,422,891,444,707,698,437,308,266,594,061,757,591,045,197,292,
920,116,297,667,386,015,762,265,435,720,554,011,036,702,177,994,145,340,505,
731,199,969,368,732,811,396,892,096,017,825,576,779,929,487,130,301,543,361,
067,880,980,364,355,435,446,290,328,497,284,393,054,264,663,056,348,824,463,
507,246,515,159,848,718,609,153,165,497,391,225,663,110,960,322,380,510,342,
020,046,680,421,467,877,052,552,300,559,259,208,968,591,640,049,094,404,811,
937,469,859,387,877,298,143,793,308,089,494,473,454,994,024,494,372,048,061,
599,562,964,730,095,254,121,068,442,110,835,849,918,442,653,579,927,863,872,
728,101,657,094,388,699,391,132,322,953,730,846,785,288,862,547,665,883,673,
782,293,556,579,015,992,551,655,854,335,847,069,708,832,735,023,888,417,820,
818,600,981,503,100,999,813,990,683,299,508,899,494,050,940,213,274,633,194,
068,048,357,586,148,282,988,748,562,776,585,800,722,429,757,557,971,121,827,
581,684,624,031,382,214,085,252,162,706,963,206,895,770,599,763,567,054,543,
831,111,835,953,143,625,195,792,301,017,151,014,640,561,803,111,211,068,324,
660,837,285,545,831,040,007,960,612,499,758,910,170,513,316,723,625,349,149,
493,582,281,637,134,185,460,569,603,874,261,165,679,477,238,533,157,338,788,
191,261,873,902,683,203,684,880,819,393,760,437,628,914,775,287,944,111,275,
661,284,614,470,046,944,921,155,360,922,765,052,301,803,894,305,141,568,671,
544,210,146,275,646,835,708,458,424,896,382,352,874,609,489,500,346,349,599,
674,860,527,926,858,217,319,840,006,279,411,041,145,246,474,380,977,288,768,
132,871,074,491,540,837,359,801,554,621,639,524,242,972,433,375,700,437,352,
877,797,040,398,423,364,369,404,520,509,789,434,236,412,658,822,251,400,147,
716,796,947,075,518,959,682,764,970,394,978,521,188,647,522,218,505,464,653,
704,270,413,708,016,033,693,177,578,732,255,490,939,773,636,174,763,229,314,
398,692,917,903,380,264,659,876,324,078,771,186,662,723,852,809,574,974,619,
551,858,880,425,315,062,386,327,746,714,086,420,571,724,223,685,833,782,484,
150,242,518,594,458,603,502,258,792,135,734,935,683,877,408,084,228,031,366,
410,235,805,064,960,523,834,458,183,288,640,348,194,476,039,367,207,202,032,
996,714,424,747,440,392,918,218,084,897,029,601,099,838,066,639,381,704,233,
328,457,980,839,130,815,449,351,685,296,749,811,657,454,356,785,086,491,639,
452,173,451,682,478,280,462,004,468,338,302,613,875,534,352,652,782,658,686,
219,387,114,914,694,891,281,140,873,628,012,532,621,876,557,228,373,227,363,
215,633,650,735,944,088,387,357,424,101,753,533,583,200,455,988,896,324,955,
190,068,682,399,010,862,383,932,818,221,906,854,175,959,393,547,026,311,627,
310,004,012,010,953,681,912,983,795,806,772,943,329,829,487,492,245,631,661,
874,396,477,787,431,396,751,241,815,231,777,533,134,692,013,250,344,055,647,
648,350,090,380,457,866,268,352,148,285,507,783,591,390,674,547,120,917,932,
555,909,611,365,036,848,798,585,509,019,267,592,497,860,630,435,295,985,935,
590,489,609,140,165,024,969,707,155,046,801,092,546,828,038,290,582,987,178,
475,073,374,031,728,352,790,557,604,789,021,518,178,595,955,223,264,404,331,
828,912,059,188,220,273,650,202,951,858,766,561,992,599,062,116,789,709,156,
991,872,139,853,601,198,146,268,850,016,796,312,361,065,027,279,438,000,201,
350,320,180,698,039,162,251,739,631,855,805,869,879,866,866,457,230,110,963,
852,917,690,253,383,004,346,334,767,959,610,032,493,884,825,103,992,257,186,
143,770,349,051,622,561,642,481,107,524,530,086,464,294,109,357,916,467,597,
230,079,150,483,674,054,761,804,267,658,582,867,877,327,868,116,338,521,019,
324,072,876,340,071,905,787,888,736,072,798,794,090,035,457,456,477,565,115,
243,843,567,223,650,515,602,816,245,163,476,070,962,619,464,914,503,468,617,
345,173,062,519,446,941,602,274,193,304,086,363,119,999,292,873,764,178,986,
916,892,767,010,211,036,967,015,474,571,090,846,856,273,874,225,121,164,134,
762,828,949,362,233,601,930,191,487,021,732,444,845,619,616,828,893,963,145,
565,174,441,306,809,795,135,608,296,033,726,926,559,752,534,283,853,192,432,
511,282,319,344,267,220,690,201,788,746,710,659,964,469,711,859,845,320,136,
001,597,975,094,609,673,184,378,041,117,864,285,079,337,233,952,882,203,056,
794,115,532,133,232,052,207,680,102,205,381,194,718,509,240,023,958,459,209,
140,477,651,211,091,823,530,179,562,007,457,755,944,731,824,687,928,702,655,
563,664,281,692,824,555,284,458,167,941,373,266,783,285,721,505,503,431,858,
233,934,388,615,057,035,703,345,964,756,546,807,108,740,767,406,503,550,196,
386,735,401,849,843,211,780,205,372,663,236,022,502,607,105,210,725,441,813,
711,746,467,224,955,830,092,297,998,023,331,207,399,948,645,867,822,143,333,
620,976,401,943,438,260,547,546,848,308,491,757,922,352,453,582,684,256,680,
309,884,774,696,883,326,102,285,542,360,710,895,816,610,651,396,076,474,275,
135,274,740,694,508,914,067,555,996,099,561,009,185,643,071,733,115,158,134,
819,721,921,099,627,190,859,375,355,354,393,636,736,395,048,343,822,217,397,
688,391,868,599,733,581,419,310,378,514,338,000,464,794,763,877,926,144,949,
706,501,914,300,880,844,150,353,114,765,177,694,283,150,256,685,639,640,626,
452,193,072,952,494,491,651,302,108,930,898,270,074,553,552,622,551,229,080,
313,326,442,490,030,947,558,918,153,973,330,485,226,728,368,834,891,454,599,
696,646,732,290,082,794,776,892,121,825,918,197,881,639,051,151,244,574,786,
276,021,557,755,236,126,918,777,678,024,439,251,678,896,119,807,414,811,012,
818,012,524,706,187,744,530,373,886,198,738,083,258,693,431,642,911,127,025,
453,927,808,896,259,507,862,195,830,985,729,268,821,892,750,785,550,721,065,
134,650,980,211,650,823,724,566,544,501,956,936,955,324,200,934,787,945,798,
700,585,846,431,912,315,918,896,036,671,936,979,514,236,422,421,343,830,849,
530,089,020,316,070,249,101,859,218,373,968,219,267,985,383,530,296,799,325,
191,489,045,781,236,955,501,344,599,458,687,045,985,408,647,210,588,575,531,
246,720,562,341,609,729,846,227,694,191,237,766,256,937,542,557,836,096,919,
095,363,327,188,332,574,266,717,323,574,689,709,951,326,846,905,256,958,009,
216,196,101,059,744,679,520,695,535,737,381,189,104,084,539,837,013,911,758,
956,033,151,111,381,403,806,845,224,748,836,763,096,452,423,103,198,482,955,
171,172,727,843,951,786,941,033,426,381,457,691,013,143,045,171,396,234,277,
625,899,995,330,009,825,387,013,958,801,172,028,028,516,559,363,232,539,186,
435,369,821,675,681,320,080,457,167,163,468,286,790,930,435,259,651,147,966,
338,595,134,322,743,904,548,518,751,624,249,537,890,351,312,304,304,558,598,
919,425,266,430,457,589,441,600,551,647,997,184,819,210,627,830,064,818,083,
423,623,133,445,594,289,155,663,873,261,173,189,059,135,353,456,363,198,422,
931,275,526,466,583,179,096,331,319,989,042,740,648,679,765,094,030,102,169,
663,536,367,382,684,840,298,276,432,539,906,710,694,951,673,501,820,057,558,
629,321,595,589,559,362,011,773,536,184,370,203,143,484,152,638,944,942,382,
874,137,811,573,351,045,007,924,613,036,254,589,928,616,768,945,745,381,420,
738,514,125,831,996,354,939,551,290,220,614,919,284,128,633,497,661,344,462,
852,731,276,345,234,392,996,708,469,788,528,821,532,289,347,477,481,698,139,
212,696,345,686,111,770,016,714,575,064,141,986,631,156,251,506,851,766,408,
601,772,960,660,580,381,647,527,541,615,627,084,417,602,192,049,816,267,228,
729,995,746,057,652,054,756,726,206,909,883,204,458,642,176,039,532,732,964,
567,051,799,699,429,822,716,491,417,417,383,325,556,656,324,139,754,733,311,
691,862,217,904,274,990,352,230,089,543,550,473,385,562,827,023,116,959,463,
974,139,248,882,099,945,611,426,988,668,186,273,010,242,978,685,149,861,425,
128,163,932,668,459,966,851,930,483,543,201,744,601,243,356,545,324,211,741,
880,424,846,330,326,563,977,166,611,783,819,385,797,666,184,704,342,031,568,
899,671,155,000,860,736,673,461,501,992,846,387,630,060,237,550,931,681,766,
870,387,584,485,884,757,947,575,535,049,970,829,071,977,771,433,595,750,840,
262,687,992,675,848,971,684,048,846,121,976,915,655,317,989,596,857,889,134,
059,600,859,391,296,266,108,274,269,150,670,041,223,100,533,378,830,951,090,
936,075,615,799,576,825,359,641,990,131,727,081,070,838,943,399,650,855,353,
828,213,858,259,045,830,590,187,077,312,736,109,297,016,393,476,154,448,325,
546,059,451,430,238,484,798,101,582,785,613,656,603,130,439,454,526,225,734,
335,371,880,130,265,165,608,524,592,026,640,361,110,182,971,056,340,650,504,
243,263,950,828,352,771,366,065,922,364,161,047,487,299,780,703,561,224,021,
334,613,891,307,194,320,467,655,635,587,511,322,922,316,317,611,103,839,325,
270,561,558,846,574,997,668,590,084,317,660,851,046,985,359,507,842,809,114,
174,279,878,551,898,897,257,745,470,070,425,212,688,230,177,226,093,882,433,
492,214,302,783,364,176,336,344,783,803,406,116,437,672,192,935,747,015,266,
864,007,313,094,687,164,171,043,244,098,281,932,642,664,213,365,671,072,432,
899,688,768,885,377,219,422,833,842,699,539,906,055,998,459,472,072,453,377,
525,839,666,483,869,662,040,761,358,397,833,135,070,093,911,896,780,643,476,
434,557,634,620,701,211,777,376,169,138,428,554,480,734,532,178,218,444,052,
737,324,976,720,467,188,335,278,493,347,653,075,754,353,038,060,466,410,257,
650,988,933,074,883,877,951,247,349,070,339,926,974,761,609,930,605,596,922,
934,034,215,132,321,685,798,655,168,271,715,372,645,447,594,198,506,227,661,
029,921,816,430,501,652,316,624,904,858,415,694,651,455,903,737,646,704,601,
752,035,307,551,465,305,305,639,197,155,355,150,360,257,498,347,772,790,400,
800,234,657,938,282,333,250,609,292,051,461,221,712,378,205,028,235,244,953,
801,550,497,428,672,163,615,201,563,634,871,291,491,329,623,478,948,120,385,
789,007,729,804,317,279,958,516,018,008,244,316,797,105,233,896,161,884,516,
290,211,618,900,688,600,356,917,112,680,865,484,806,072,718,781,430,318,216,
806,965,348,199,384,463,051,468,697,310,009,666,195,784,349,100,029,433,370,
355,036,207,983,944,695,082,289,295,620,349,759,416,035,689,988,789,870,902,
259,014,534,505,441,363,198,456,898,865,400,462,890,101,082,145,717,693,854,
586,128,774,053,711,768,824,084,902,425,380,653,596,040,720,721,839,338,600,
777,062,011,861,428,836,830,884,377,784,099,359,984,924,331,034,016,630,843,
071,779,629,650,137,175,796,149,248,893,267,856,056,408,641,617,206,527,310,
923,127,226,715,095,466,052,424,100,963,767,386,447,762,643,344,191,549,673,
118,503,768,504,747,804,674,918,498,999,196,639,716,802,797,191,906,193,196,
564,372,927,180,406,479,038,636,411,385,698,162,059,154,569,599,443,693,964,
457,232,209,862,571,439,947,905,094,598,058,593,230,318,045,045,446,765,294,
420,690,605,991,538,838,707,485,174,682,314,101,923,192,493,239,838,437,493,
753,322,776,191,763,429,505,322,133,480,052,202,029,673,086,458,340,201,983,
718,039,927,579,767,560,015,926,890,831,808,452,101,481,993,349,347,656,389,
880,892,124,922,010,220,486,910,877,353,518,779,544,112,194,514,430,406,440,
073,389,517,308,144,259,301,830,561,351,461,454,067,921,766,943,087,719,656,
694,058,349,408,868,080,407,789,861,900,617,018,804,138,871,022,612,253,001,
074,133,730,145,281,651,718,253,230,046,266,289,700,614,813,283,521,258,908,
645,620,477,608,926,751,982,480,358,447,885,658,818,942,431,456,434,301,002,
079,546,955,383,836,417,186,483,174,399,008,413,761,950,281,363,976,038,945,
629,489,555,324,700,771,430,183,256,895,803,128,149,405,146,555,806,055,875,
934,491,708,642,559,997,127,678,931,915,118,592,596,339,141,537,062,675,451,
016,377,044,530,525,661,204,824,773,578,409,733,423,144,564,822,283,982,961,
634,086,803,972,895,997,844,001,217,033,068,855,951,813,776,533,775,012,218,
112,011,208,258,516,297,173,323,673,870,409,629,554,673,070,946,309,627,905,
898,179,342,979,086,694,175,502,583,320,264,787,057,313,854,298,501,072,522,
516,949,231,806,047,937,095,948,406,039,470,312,475,820,512,902,026,383,344,
989,145,980,303,879,391,157,540,687,389,558,856,997,890,628,384,134,707,933,
637,368,792,254,126,262,741,857,461,940,383,537,110,882,048,569,437,868,239,
350,329,803,359,136,069,155,472,399,771,320,064,383,351,727,687,673,800,083,
823,951,507,046,909,344,864,323,160,567,078,793,042,248,365,808,171,972,400,
886,817,710,071,294,278,875,869,308,766,041,389,602,273,333,566,490,318,167,
315,444,682,398,959,001,811,970,678,554,260,790,024,373,587,368,879,012,631,
283,101,040,334,146,237,817,148,815,269,852,343,345,872,306,132,049,007,485,
312,077,954,998,382,722,585,463,574,474,588,717,153,633,772,923,816,476,471,
647,695,536,128,274,239,686,699,547,844,580,240,085,878,407,797,810,102,200,
031,429,593,613,821,376,627,594,103,322,538,285,984,687,490,570,722,982,342,
422,895,268,442,968,603,506,449,186,955,703,069,692,982,864,592,503,264,006,
979,344,260,775,926,587,586,801,562,527,710,969,793,837,939,970,745,236,326,
019,846,900,173,060,358,335,312,000,499,456,439,619,677,604,499,250,185,111,
202,219,848,916,584,868,337,944,196,334,334,762,530,629,631,396,874,191,207,
791,471,366,809,075,269,531,379,625,473,535,931,257,547,047,068,042,273,238,
829,697,730,656,751,334,602,583,260,193,239,860,450,954,267,501,488,079,488,
958,034,692,733,618,505,302,205,064,565,065,923,567,005,432,397,153,888,527,
512,054,465,987,444,736,286,855,497,477,584,356,458,694,242,826,006,526,198,
192,362,940,986,687,281,568,838,958,769,266,554,225,545,328,916,289,585,434,
428,732,315,944,448,354,191,234,709,702,370,812,352,547,010,447,262,934,820,
424,991,221,263,890,706,637,938,448,732,807,591,112,291,544,762,340,024,326,
859,947,758,371,219,538,451,882,275,130,052,025,385,692,552,855,925,553,681,
095,630,103,059,909,793,304,872,239,145,162,362,190,112,007,069,761,932,398,
811,773,025,588,336,006,124,550,880,660,514,142,390,819,021,886,915,309,857,
591,263,853,886,777,428,187,434,124,089,114,343,141,988,973,264,571,598,683,
392,162,324,742,709,515,098,305,241,562,855,127,705,649,732,296,377,763,416,
443,339,382,306,754,150,180,565,641,451,766,911,252,361,534,704,814,956,502,
960,261,269,359,145,538,295,778,842,116,735,691,225,954,111,734,139,817,056,
949,052,689,444,845,760,781,139,428,571,931,358,015,883,204,501,252,264,524,
789,646,078,759,159,036,806,136,424,623,948,726,194,558,116,804,434,528,895,
893,424,059,108,693,326,700,303,428,936,511,110,717,572,028,058,778,564,317,
668,218,267,367,695,918,182,246,948,115,198,867,178,868,407,813,346,043,019,
004,966,483,954,562,478,128,788,373,766,701,318,334,692,371,784,246,398,191,
675,826,742,351,635,004,741,087,081,219,757,038,504,214,325,444,697,555,258,
049,504,452,442,376,763,027,908,608,835,205,004,624,333,891,921,382,906,317,
449,087,666,054,852,325,354,130,837,956,890,297,062,277,638,726,851,483,207,
930,219,032,077,755,340,556,052,293,837,387,543,133,414,028,498,168,077,554,
161,939,409,465,089,994,618,478,132,322,942,692,215,238,642,461,125,220,082,
661,003,630,016,609,837,623,343,686,454,210,554,616,033,722,092,477,702,733,
325,468,404,637,034,413,181,074,520,562,836,038,885,686,952,782,457,741,227,
719,208,356,641,287,913,935,545,438,863,859,504,660,553,606,934,153,029,322,
755,428,371,511,226,717,525,326,002,968,541,983,631,114,481,236,094,091,871,
938,462,419,636,287,060,682,757,590,690,439,300,125,539,659,263,800,355,656,
409,787,974,679,428,449,325,729,521,366,955,379,713,888,415,283,590,327,325,
872,089,458,551,410,214,337,468,728,344,185,990,973,136,111,659,431,574,914,
913,190,167,753,277,142,336,349,499,933,514,150,769,877,848,282,256,752,294,
506,639,721,847,780,631,866,749,565,662,437,429,928,313,856,231,008,667,161,
990,740,670,069,547,220,087,026,099,676,490,686,359,028,224,087,783,630,751,
318,096,031,118,193,205,869,913,196,109,518,821,796,270,913,723,958,628,358,
660,310,917,249,732,037,810,038,196,687,897,027,719,005,581,314,286,138,008,
031,044,500,556,888,155,412,983,091,260,081,954,373,484,282,466,480,160,717,
744,371,711,525,759,943,740,097,517,757,147,897,812,538,844,651,971,970,398,
867,052,107,991,449,689,914,842,813,559,050,917,515,805,477,773,079,659,589,
664,993,913,045,787,248,252,687,555,816,951,292,679,111,516,373,532,243,002,
477,283,416,879,597,892,813,027,572,788,693,623,839,057,677,886,539,437,507,
549,246,478,432,593,346,657,796,010,903,393,880,480,201,677,468,861,688,915,
820,879,170,131,475,088,894,539,330,440,931,259,847,925,642,108,374,039,547,
205,116,815,686,047,704,880,742,020,087,481,333,397,983,719,036,892,589,131,
111,275,963,843,177,467,290,337,066,970,376,685,912,749,924,957,979,144,504,
348,783,277,584,671,340,741,446,062,123,867,368,466,970,013,448,804,456,880,
266,452,324,664,791,277,431,493,892,789,755,555,811,009,992,124,103,432,087,
903,916,467,345,120,873,490,585,664,358,992,903,671,096,132,319,589,577,263,
613,533,279,631,030,706,530,730,377,213,551,853,981,745,506,127,657,599,496,
720,068,570,195,854,485,936,049,879,810,329,395,405,593,357,452,340,968,625,
049,136,730,532,503,798,765,820,860,809,278,617,384,664,065,714,545,879,320,
460,696,622,933,718,225,636,994,477,531,286,845,780,333,006,683,722,991,033,
200,482,852,878,456,802,048,046,945,079,656,854,811,133,557,692,881,283,890,
664,506,608,731,076,428,303,218,689,476,831,043,300,676,068,467,605,335,460,
567,103,908,910,635,436,235,788,710,658,204,318,205,327,622,658,185,374,833,
658,559,426,529,638,342,578,478,584,264,678,110,721,655,498,653,861,429,203,
995,431,337,328,436,155,168,019,841,432,501,637,979,937,931,374,722,150,627,
529,288,051,117,768,969,831,240,243,904,799,007,184,624,973,092,841,151,625,
656,386,499,826,808,262,081,407,279,971,576,206,102,303,243,462,313,875,896,
587,676,088,495,911,354,114,901,741,784,548,112,040,437,755,118,351,981,313,
917,831,071,767,120,694,367,080,246,624,533,735,508,533,018,230,454,332,784,
848,722,988,286,181,085,831,382,336,210,753,349,635,298,318,279,803,160,667,
979,650,820,063,223,511,434,482,172,213,045,867,049,975,027,488,040,446,587,
626,123,503,000,091,178,241,393,290,744,895,736,422,701,008,864,070,013,356,
660,063,230,563,845,775,382,208,781,329,674,313,700,551,039,922,389,837,698,
295,111,469,984,079,665,884,486,265,328,534,276,027,286,317,152,891,331,617,
849,040,831,654,568,886,614,149,451,267,931,413,579,729,944,752,029,841,427,
486,451,603,076,972,802,063,464,154,312,879,837,277,839,444,278,119,147,346,
703,152,372,798,536,851,459,222,140,072,618,909,904,071,062,032,463,116,049,
563,509,088,698,628,444,973,470,847,395,718,661,825,247,534,037,182,783,069,
065,932,876,898,334,684,085,570,227,536,144,327,771,077,817,961,524,431,931,
460,641,798,405,759,252,057,958,030,573,782,852,019,242,588,495,002,456,192,
603,258,375,045,653,153,322,756,784,078,706,747,804,999,619,042,128,824,559,
308,492,792,556,061,152,729,340,564,997,493,846,386,532,786,768,770,281,977,
441,672,346,643,923,872,740,851,265,480,876,198,064,239,390,491,430,434,786,
038,900,060,457,229,812,650,738,620,848,821,257,901,761,468,227,815,393,903,
685,657,138,764,060,830,165,197,311,289,257,434,215,310,102,580,506,471,433,
322,881,499,585,844,901,951,198,255,097,634,721,798,032,387,078,568,274,682,
060,228,226,897,857,530,725,276,388,826,219,944,930,357,624,084,388,121,983,
891,060,088,840,877,372,209,674,009,103,961,126,479,290,589,866,288,807,768,
715,477,577,454,012,470,987,530,124,129,138,403,924,770,214,728,601,685,938,
389,741,516,373,796,774,686,213,368,918,066,673,201,061,977,957,192,014,692,
561,064,444,179,571,289,352,652,539,962,007,016,332,589,113,787,089,803,631,
709,408,126,476,122,620,194,827,839,045,170,557,868,261,363,568,869,486,188,
445,734,095,203,376,849,201,920,228,217,847,709,901,974,357,899,195,195,130,
047,433,979,473,875,765,514,045,085,521,025,657,800,536,704,637,061,061,004,
063,249,232,085,719,883,818,701,789,524,233,268,349,522,775,526,060,184,518,
843,144,786,207,282,875,505,901,136,195,432,264,877,015,581,849,692,366,963,
164,581,037,620,833,866,676,183,885,498,070,544,466,777,659,911,971,820,802,
691,315,624,886,509,576,407,255,740,349,380,511,082,765,061,009,727,811,403,
618,971,623,755,289,525,163,150,971,044,351,264,072,435,234,737,948,189,823,
889,691,972,630,718,003,412,960,927,382,787,840,707,046,780,619,895,834,112,
261,441,042,584,452,906,555,378,411,711,811,221,722,516,825,034,407,861,411,
842,913,264,399,877,523,314,765,052,206,449,248,577,371,151,271,315,226,914,
597,997,295,776,656,087,000,217,174,152,766,145,925,833,425,923,949,143,413,
389,758,290,483,665,266,378,662,879,570,882,970,221,794,475,798,713,753,178,
905,453,608,805,507,619,980,136,516,334,473,784,222,413,627,104,064,272,414,
867,893,263,068,669,342,147,929,635,585,778,403,887,358,600,436,157,379,519,
340,009,941,859,918,599,628,314,807,594,476,302,399,261,500,593,174,403,062,
952,199,771,477,966,189,203,499,122,814,359,127,254,470,329,123,243,488,689,
835,256,885,914,984,289,470,318,229,481,444,053,694,710,344,782,166,140,334,
844,166,294,466,563,212,328,128,713,817,991,565,774,684,194,668,262,142,831,
601,817,378,396,159,040,000,304,728,223,141,869,149,018,109,697,262,662,183,
074,672,958,297,378,407,558,377,635,081,035,112,293,750,338,963,100,234,290,
545,132,224,803,445,817,212,246,724,940,708,876,686,982,412,836,973,388,970,
044,129,170,356,006,629,702,540,968,479,479,150,440,996,420,057,899,705,437,
706,842,119,881,802,440,414,199,774,146,781,387,186,285,803,109,942,963,898,
094,047,140,301,382,682,659,779,988,153,549,557,605,630,938,491,869,957,174,
049,461,115,866,071,746,438,568,180,877,516,116,156,724,566,258,465,696,255,
480,670,383,712,043,672,863,307,084,006,986,401,889,208,874,984,546,719,248,
507,769,556,183,740,921,937,689,038,283,427,515,825,816,514,557,514,136,748,
167,636,213,515,858,149,891,243,711,744,552,811,411,375,011,043,296,580,382,
848,484,230,068,787,422,118,883,167,919,765,008,975,128,585,315,546,935,135,
257,547,486,858,984,155,858,360,723,331,697,137,320,676,227,451,571,929,201,
960,008,326,081,262,401,819,988,466,763,925,185,040,016,073,247,897,205,459,
496,935,620,533,492,183,590,622,700,412,044,247,628,670,355,325,574,092,946,
892,714,773,242,953,403,318,257,667,767,070,847,476,638,471,426,400,626,155,
245,074,056,562,833,535,982,506,074,498,570,447,741,741,527,195,255,625,965,
734,359,756,913,338,649,841,936,120,409,543,435,813,983,545,974,115,217,768,
662,337,995,708,695,850,383,623,844,001,779,767,563,739,255,641,221,826,928,
514,437,342,381,713,381,451,525,888,697,285,211,313,643,710,041,649,050,682,
515,546,352,723,611,964,855,323,722,651,632,531,203,572,365,541,445,191,512,
039,774,231,807,462,617,095,771,591,754,011,274,518,316,914,734,359,884,711,
058,000,057,753,697,202,158,159,694,862,217,845,121,000,456,394,133,983,199,
286,651,619,607,754,144,324,697,466,507,453,800,348,652,713,868,719,636,661,
303,915,486,835,669,273,070,669,681,708,653,156,524,458,572,787,582,367,386,
244,156,034,048,268,157,339,161,942,158,282,167,594,880,826,660,460,249,071,
326,342,148,618,187,564,164,100,150,241,686,627,842,537,355,446,957,174,736,
740,236,048,055,335,061,135,035,985,695,215,786,512,033,269,884,507,273,322,
040,458,480,669,135,424,004,322,715,844,643,310,647,271,376,956,293,649,867,
574,634,338,486,327,182,575,845,568,505,958,371,261,282,752,590,436,755,696,
905,020,097,999,041,357,360,648,236,769,664,942,163,638,943,224,738,446,920,
074,490,805,220,485,407,777,206,022,847,176,441,364,942,676,692,069,547,033,
157,016,937,465,146,418,517,341,518,979,088,915,069,705,727,500,156,299,389,
361,266,051,406,976,245,322,903,000,619,022,986,225,176,171,100,936,619,676,
605,144,044,891,017,974,665,533,295,905,129,348,325,685,750,079,482,922,715,
181,498,006,678,099,180,695,091,051,255,976,580,076,053,534,359,583,376,888,
952,753,170,095,006,518,040,137,854,264,237,233,014,975,085,643,918,240,691,
374,646,415,010,802,103,096,965,553,511,482,961,961,466,248,839,529,589,346,
048,116,683,899,101,639,416,146,542,599,872,606,240,232,819,286,489,781,990,
330,891,729,904,326,894,500,054,992,011,627,851,415,888,040,552,709,124,475,
287,655,983,623,586,273,431,228,856,392,889,269,426,070,157,014,365,477,751,
026,740,065,334,183,713,135,288,974,429,839,934,651,735,679,691,052,862,507,
013,761,699,691,666,475,177,056,490,058,005,284,164,048,842,336,914,518,159,
916,834,132,477,084,958,241,083,440,551,782,960,483,891,837,754,091,408,990,
714,912,398,494,070,093,896,796,562,756,311,255,419,450,438,956,618,673,493,
224,848,406,702,869,642,107,856,233,084,293,445,417,490,313,775,130,966,734,
871,929,862,084,065,532,856,117,217,005,429,192,359,101,586,314,490,370,485,
870,560,393,810,892,567,001,271,814,305,699,775,755,359,045,677,893,512,331,
370,942,280,594,369,961,788,114,456,709,408,669,902,272,979,889,765,742,950,
908,490,130,661,294,914,946,954,935,290,769,150,176,176,400,116,753,809,467,
157,691,841,229,003,651,146,859,086,772,090,540,416,245,950,809,631,196,634,
736,854,978,450,943,747,285,667,458,923,336,337,617,013,855,627,483,209,009,
161,493,356,897,957,497,077,730,396,647,942,069,494,074,217,917,689,665,488,
631,541,324,715,932,301,957,855,922,852,577,914,546,192,962,603,575,914,567,
673,637,377,467,627,838,236,847,140,505,354,243,398,677,134,385,951,749,482,
949,481,651,216,509,765,127,228,630,009,373,209,995,190,798,107,909,314,621,
558,521,637,433,099,090,688,529,158,002,303,190,764,479,987,861,018,956,740,
858,418,629,356,613,062,779,639,109,685,682,545,337,435,120,682,000,793,779,
871,899,037,214,514,214,498,485,234,233,453,676,288,855,159,957,852,512,688,
738,974,183,342,518,040,184,320,620,193,616,447,979,112,648,568,695,816,686,
376,136,883,660,188,096,339,403,899,199,282,800,770,253,286,770,024,729,466,
502,428,383,104,933,573,484,730,428,557,534,695,847,366,053,905,767,514,552,
123,109,582,306,743,643,732,455,596,802,615,279,019,452,323,530,712,454,137,
802,477,015,930,272,233,058,786,319,734,205,228,968,922,221,356,303,594,618,
100,739,712,170,744,748,980,100,021,061,892,853,732,315,043,083,920,572,144,
523,233,612,480,497,247,075,656,235,738,315,939,115,412,340,246,266,908,026,
019,106,717,684,726,161,122,705,671,623,944,096,454,125,999,853,939,241,528,
682,967,323,249,031,983,630,130,675,321,676,422,752,674,117,353,215,425,733,
502,652,241,471,359,899,384,165,561,618,590,979,328,138,853,942,855,917,833,
759,038,177,560,558,945,412,744,560,676,432,601,320,094,554,969,223,155,619,
138,254,338,174,794,952,232,899,847,112,414,471,088,755,026,913,030,668,676,
975,962,284,629,537,754,259,304,788,297,444,758,461,391,723,713,474,241,041,
236,401,322,390,223,172,453,140,721,600,044,362,209,953,718,978,847,080,681,
973,637,058,076,859,342,794,376,842,612,872,566,143,976,349,434,636,800,784,
662,886,215,794,796,746,066,207,868,070,569,838,035,302,303,307,864,385,965,
743,408,367,933,019,641,655,341,723,192,019,028,624,877,961,149,182,046,440,
482,534,995,493,299,476,368,757,412,349,440,160,661,968,863,562,503,544,159,
780,116,480,191,263,522,606,820,377,563,521,821,019,074,358,049,572,021,639,
391,072,514,017,106,788,025,413,109,486,582,405,303,132,800,845,318,952,570,
594,765,372,699,426,197,857,774,872,367,650,639,447,861,128,376,691,470,080,
372,625,420,833,268,929,942,661,703,935,145,261,678,634,068,646,735,572,188,
933,631,995,738,094,385,435,958,899,334,568,230,268,164,355,528,041,124,108,
890,788,995,334,557,159,669,498,223,055,047,636,361,314,208,908,703,459,297,
027,057,509,153,470,429,189,301,558,406,188,810,834,063,126,856,192,651,288,
961,032,605,804,875,511,378,992,863,864,023,932,090,347,609,235,092,502,937,
534,216,298,387,877,871,842,910,697,703,036,865,960,652,009,898,453,100,495,
993,522,584,867,225,820,004,648,102,866,572,002,344,807,361,075,204,265,836,
291,167,840,946,830,077,188,773,836,793,972,549,363,494,064,590,471,579,116,
406,585,816,330,106,534,990,691,210,924,957,160,569,939,727,975,750,730,493,
627,860,238,626,240,387,122,871,509,448,381,039,363,347,367,353,597,619,896,
863,537,723,354,501,482,948,459,720,473,531,751,778,135,066,972,646,550,949,
076,125,022,294,871,349,258,524,690,676,810,457,032,236,348,533,465,373,976,
766,113,189,559,665,468,200,300,259,178,596,748,755,232,356,216,477,909,121,
906,785,025,548,377,074,101,605,618,411,291,765,747,606,505,240,448,893,503,
313,980,806,060,463,953,048,099,842,221,572,353,078,044,696,562,890,014,687,
877,564,479,133,167,767,108,543,002,735,840,630,176,523,543,042,706,552,846,
055,950,705,469,501,996,434,527,519,033,844,437,691,291,707,284,777,502,653,
797,992,828,469,346,861,646,383,554,151,467,652,292,630,635,475,162,782,366,
814,921,329,393,725,286,362,530,114,109,092,174,390,827,742,918,774,146,903,
340,095,453,270,724,542,498,749,179,630,598,556,568,685,542,520,206,110,781,
118,908,899,308,576,898,997,332,275,861,707,189,283,036,383,863,412,046,485,
266,131,336,508,302,702,503,031,883,633,146,027,191,038,827,435,905,544,369,
376,312,658,174,356,831,192,597,491,010,867,508,693,355,796,071,147,271,160,
864,510,686,300,291,290,939,593,621,713,205,633,234,188,505,649,560,143,122,
868,502,425,683,221,780,197,622,613,677,635,562,863,825,193,277,946,487,084,
177,831,719,262,318,003,471,184,612,020,445,999,430,990,112,387,943,799,749,
330,322,374,508,597,273,439,517,862,288,476,164,226,627,808,146,506,326,801,
082,245,054,786,755,898,674,843,059,034,185,083,750,774,139,578,993,005,393,
248,673,035,421,702,520,821,005,765,631,024,129,079,872,068,250,275,003,050,
283,703,412,628,782,757,319,343,805,223,374,395,065,006,196,806,385,743,967,
767,782,519,214,236,511,486,232,690,319,774,597,881,391,470,246,892,205,752,
966,760,113,613,760,618,500,678,691,483,567,841,588,214,436,769,714,073,422,
409,841,535,697,731,257,408,918,537,085,875,032,059,021,518,100,074,806,337,
498,656,939,499,748,295,448,032,190,522,252,697,930,126,671,011,820,880,041,
374,316,381,636,646,897,541,426,038,166,405,311,076,864,822,063,367,322,895,
662,609,232,124,003,323,195,481,987,251,916,385,938,334,531,539,311,448,487,
047,101,589,599,909,729,748,449,095,525,113,023,432,532,584,509,115,496,671,
037,714,131,842,548,408,301,677,557,734,852,454,174,232,345,328,283,319,313,
399,614,178,329,504,398,639,541,702,223,187,668,079,811,915,159,468,536,149,
898,574,290,883,608,442,492,781,568,451,508,188,937,720,920,849,386,449,552,
524,898,074,577,700,114,968,858,064,368,403,849,809,237,035,278,749,551,718,
271,101,351,876,126,180,629,833,764,612,146,586,239,385,403,457,050,405,522,
555,929,453,306,095,262,228,678,140,380,673,185,178,179,002,803,858,857,711,
627,639,562,055,319,828,675,500,741,770,067,446,546,186,018,079,434,293,146,
810,139,637,816,936,614,730,799,422,014,220,859,887,889,715,563,404,488,440,
441,239,577,575,248,586,370,357,967,249,814,049,059,229,546,302,636,426,258,
626,136,460,454,545,588,487,915,065,408,244,986,312,004,218,343,330,377,616,
907,172,527,359,147,845,007,334,645,806,686,433,767,934,709,411,437,005,001,
363,636,059,654,031,300,540,209,908,862,300,639,062,839,542,208,191,446,823,
252,192,667,919,357,973,699,237,173,270,524,805,061,655,598,964,548,392,302,
634,399,197,872,623,979,309,265,999,084,985,699,450,101,299,763,937,305,482,
648,990,931,227,090,184,974,418,421,275,269,573,067,611,075,854,721,596,378,
895,637,854,645,268,379,529,995,029,780,709,572,931,176,924,799,169,370,387,
423,349,296,678,450,978,533,287,058,158,353,031,163,524,616,122,643,251,564,
502,876,643,397,725,365,190,953,225,108,551,866,890,894,753,601,797,408,546,
208,290,646,441,177,575,010,147,603,517,719,072,784,485,066,421,483,300,381,
792,919,941,327,211,372,714,443,105,184,870,140,916,134,221,630,484,152,686,
297,987,982,126,687,244,383,109,331,894,093,667,900,792,112,575,883,771,410,
863,638,842,850,073,946,073,167,459,995,483,241,040,328,429,006,654,462,727,
829,475,468,259,491,473,288,984,134,772,107,460,007,170,122,096,764,688,836,
608,892,763,369,745,759,942,485,247,614,020,004,167,506,653,855,021,594,882,
698,592,227,836,029,123,395,102,587,880,289,681,004,738,750,826,965,136,373,
676,291,003,082,953,930,497,338,574,977,367,853,379,299,201,698,712,540,557,
086,726,176,928,406,929,178,247,021,843,151,152,828,022,307,234,727,621,837,
859,016,875,783,116,855,089,118,511,335,854,740,399,979,483,233,370,589,513,
388,711,427,181,948,748,022,567,827,461,750,893,600,351,792,687,110,050,086,
121,919,896,550,954,434,192,991,988,061,879,820,010,807,859,300,425,065,746,
878,645,315,047,328,039,338,790,659,657,707,634,703,225,682,822,932,500,399,
395,283,598,902,193,893,898,558,964,652,659,162,731,444,043,497,541,220,114,
886,750,344,332,832,427,092,558,311,178,066,828,758,298,093,130,064,421,480,
960,591,724,043,359,993,780,286,385,497,911,450,885,130,893,361,334,227,796,
434,369,166,164,784,439,725,406,423,414,574,331,063,263,112,228,493,649,790,
868,880,649,297,019,149,287,484,462,179,437,342,608,200,035,420,649,591,534,
107,480,592,614,123,714,097,667,726,518,178,893,272,237,979,979,565,258,842,
748,725,137,993,556,573,842,935,338,154,562,536,044,036,361,268,245,851,804,
296,394,766,076,764,604,084,809,923,372,589,264,194,357,621,988,218,011,622,
764,997,856,137,444,071,786,851,127,117,563,308,709,594,727,145,467,616,296,
569,140,967,314,205,588,614,752,483,954,093,619,749,324,280,206,832,793,693,
928,177,422,796,707,571,640,565,267,194,643,997,523,870,567,545,815,076,796,
663,813,381,774,215,663,117,100,127,651,833,204,427,487,253,631,927,749,734,
358,541,341,826,103,143,802,614,707,846,951,696,819,276,489,467,375,873,518,
170,992,940,751,780,520,359,517,918,238,852,882,183,819,504,090,556,478,267,
935,886,804,090,743,238,018,742,618,140,828,800,860,347,526,721,530,864,337,
809,243,333,111,274,984,537,618,166,618,522,407,062,371,438,643,293,898,878,
852,860,311,144,488,595,443,047,427,199,615,038,182,154,724,293,082,270,567,
671,830,889,783,413,277,458,517,066,412,883,305,590,198,351,888,839,403,026,
312,741,120,404,404,132,184,150,204,587,502,713,842,591,161,610,382,031,057,
734,959,115,828,638,257,514,730,948,627,865,775,803,335,387,912,362,174,320,
410,235,048,924,564,558,040,345,665,228,236,329,321,550,188,934,268,498,143,
669,747,698,404,296,161,520,993,996,515,537,443,145,181,247,139,085,431,332,
927,090,620,291,505,910,113,195,764,049,589,302,440,541,887,302,246,828,236,
715,933,511,901,671,431,514,739,166,772,035,484,302,772,555,423,249,364,751,
558,528,636,654,259,092,830,382,246,262,485,687,560,821,291,832,186,376,678,
476,378,644,110,947,274,607,171,676,220,770,328,477,172,533,921,694,393,042,
892,451,287,412,419,985,320,554,596,673,792,547,645,671,435,401,215,604,960,
331,101,827,626,123,367,266,537,019,459,031,411,938,391,057,235,396,412,326,
874,573,122,985,193,501,743,910,376,866,979,838,442,177,096,881,011,265,399,
547,497,033,586,288,604,530,453,369,582,198,543,822,307,905,025,732,310,096,
261,753,332,456,423,011,451,191,020,093,522,284,663,640,603,411,867,894,930,
404,142,275,818,677,432,636,094,072,821,471,387,047,041,649,500,947,050,628,
142,375,317,314,291,213,371,647,839,657,156,567,652,623,914,386,626,912,769,
086,095,871,452,019,400,093,848,164,374,271,444,950,958,917,730,796,799,118,
826,539,417,845,436,657,629,628,452,488,399,202,842,979,813,037,507,038,121,
873,575,051,417,565,096,223,168,559,139,742,945,700,791,767,189,642,070,677,
516,002,935,314,559,299,686,249,881,222,117,619,170,610,091,148,337,794,750,
831,560,989,824,797,088,735,084,313,386,688,883,917,026,987,442,677,519,897,
641,656,436,493,101,555,717,093,950,849,401,349,818,276,151,263,701,942,606,
974,885,255,030,212,685,015,577,664,262,653,842,820,256,808,321,623,170,139,
654,930,869,645,060,384,454,670,324,527,828,712,072,241,332,401,822,843,745,
988,950,503,070,329,784,358,969,089,513,001,353,406,840,067,265,186,948,155,
791,950,928,565,309,811,922,324,039,487,980,417,268,441,236,668,749,100,463,
646,129,981,512,447,946,265,513,348,863,650,409,477,408,732,407,850,413,116,
920,390,290,377,692,615,003,982,885,071,829,194,377,616,635,215,388,431,435,
426,383,536,548,363,772,334,357,628,058,724,078,928,487,772,481,800,897,570,
849,151,338,962,009,767,968,542,461,892,334,738,432,422,400,718,886,518,847,
319,935,528,217,815,851,365,642,810,676,219,925,623,759,226,279,699,269,856,
467,709,561,481,685,516,644,914,789,756,264,938,650,790,467,904,779,216,959,
803,568,483,206,582,854,351,803,161,341,065,394,930,053,877,181,552,807,196,
144,468,467,311,910,909,222,481,757,792,623,812,722,818,564,367,610,244,912,
792,593,393,380,870,805,277,808,974,257,469,689,836,137,335,402,021,979,466,
997,040,715,537,867,213,475,716,356,748,857,458,047,483,598,863,277,380,969,
389,184,578,017,798,012,085,961,930,908,506,432,561,294,422,380,289,324,406,
778,912,274,357,555,405,164,657,838,948,605,899,153,409,928,272,944,237,173,
377,024,500,618,425,492,740,418,662,698,070,671,262,008,817,651,839,073,355,
458,484,619,430,253,519,036,452,320,400,634,163,902,842,643,467,641,698,640,
183,652,540,666,892,280,590,880,345,445,945,894,090,953,165,516,904,987,595,
765,658,986,746,579,673,132,913,152,358,170,432,002,873,632,650,536,066,273,
603,372,566,535,204,259,874,646,506,743,359,552,279,212,858,648,132,578,428,
743,866,652,040,579,579,178,332,961,150,765,072,121,841,894,816,150,223,202,
308,904,212,734,290,312,872,497,173,948,311,536,237,932,234,899,189,408,765,
533,207,468,209,565,209,452,473,212,646,920,319,463,190,602,064,189,837,378,
708,328,424,994,730,082,906,744,520,753,018,015,106,883,940,551,677,926,963,
617,494,487,186,425,641,501,754,841,155,463,888,121,221,896,484,841,654,774,
982,193,188,023,442,908,795,491,676,143,493,677,730,062,304,633,176,062,232,
364,168,122,330,508,901,616,585,911,164,480,368,705,001,523,442,675,508,589,
884,991,466,023,248,964,574,006,563,232,893,812,140,280,051,515,192,463,639,
449,894,059,381,122,323,936,028,850,982,069,171,661,898,069,811,450,305,421,
135,128,248,991,217,470,824,400,410,024,078,871,230,273,477,412,759,014,781,
388,896,012,492,353,799,623,937,214,547,756,726,076,947,927,615,689,841,967,
723,635,821,602,334,396,950,636,984,953,296,399,548,421,210,653,236,150,665,
068,042,831,271,100,615,523,421,633,298,566,875,141,489,342,746,698,577,066,
606,029,027,356,953,110,143,207,662,033,243,503,748,961,690,326,797,943,222,
814,585,379,536,626,062,015,871,460,975,674,513,483,397,525,956,422,421,776,
874,192,595,410,341,996,258,558,842,325,960,436,357,927,541,192,525,489,543,
873,558,155,151,039,742,922,029,265,166,930,096,429,967,592,824,810,405,727,
985,342,945,463,966,167,959,857,160,016,741,362,896,810,546,722,863,752,250,
756,538,375,439,179,823,445,488,816,745,586,869,601,684,248,453,532,457,565,
774,568,891,229,831,385,224,083,850,715,188,824,766,248,763,139,595,061,437,
381,621,248,612,704,021,951,034,304,681,895,856,982,986,519,060,401,440,301,
370,761,818,024,084,498,147,964,248,081,718,987,883,500,060,073,238,406,395,
348,877,149,255,194,870,342,996,521,205,936,451,949,278,221,673,361,661,444,
589,439,859,339,778,330,696,078,374,057,429,555,380,666,276,977,803,130,499,
298,009,531,672,806,493,992,751,489,084,459,583,351,395,714,223,117,984,456,
793,865,332,899,176,198,193,083,523,292,086,948,635,747,309,998,828,823,662,
510,021,823,766,229,189,923,363,657,776,421,416,935,060,585,832,723,863,110,
292,883,106,048,348,701,369,522,513,222,113,859,758,938,593,497,671,759,213,
212,156,342,955,591,955,888,505,480,529,455,795,283,408,593,605,482,852,148,
694,851,813,402,775,540,350,035,102,362,895,023,715,315,987,231,798,314,736,
932,818,002,820,108,576,817,294,179,907,242,569,788,241,880,785,099,270,817,
805,687,233,342,128,542,565,308,858,772,992,373,180,736,786,347,595,838,871,
034,977,174,632,486,229,741,723,793,913,267,372,931,446,798,587,887,630,893,
678,629,683,722,287,354,316,698,150,290,391,159,016,662,104,153,719,370,217,
017,088,720,583,924,461,245,046,439,765,229,011,497,733,076,075,885,979,909,
211,213,029,465,970,984,387,451,760,485,212,142,614,663,228,859,437,918,615,
551,829,732,922,502,333,227,100,044,993,118,853,335,394,264,861,494,901,698,
364,949,730,915,589,562,000,923,719,857,591,767,600,492,563,483,597,162,005,
183,469,458,334,226,138,845,050,814,551,259,717,073,534,197,228,891,231,451,
916,166,277,183,675,074,388,227,422,014,726,329,598,769,903,962,423,588,806,
050,948,637,246,564,499,101,976,288,172,643,507,230,701,981,531,701,138,779,
556,374,491,988,836,835,874,882,657,438,443,825,390,682,910,332,811,947,943,
796,787,291,074,564,790,313,873,057,134,803,125,006,236,630,424,859,226,068,
971,125,467,548,701,111,812,302,977,261,152,220,943,142,458,671,336,405,388,
387,342,553,191,950,647,429,654,013,428,961,384,733,046,006,779,550,363,453,
374,824,494,610,121,657,980,404,364,511,248,517,661,987,754,275,734,596,307,
166,194,251,245,370,857,678,639,163,410,136,778,073,924,096,299,599,113,831,
857,802,793,856,105,677,068,622,117,534,477,719,458,293,468,203,358,599,541,
256,301,298,072,527,109,671,301,503,425,890,169,148,498,466,681,103,167,335,
544,369,452,241,514,418,670,870,911,169,317,067,758,057,366,470,806,750,190,
328,804,678,705,840,813,351,703,961,230,273,852,285,670,506,923,829,470,025,
122,768,141,111,591,320,381,597,227,440,863,369,134,807,080,696,856,526,546,
751,212,829,910,050,720,755,016,761,998,392,161,946,973,724,380,516,873,838,
689,174,328,413,727,128,440,168,046,836,602,509,076,152,517,166,768,820,698,
049,875,575,189,286,737,696,707,275,456,550,710,777,060,346,731,302,081,589,
611,068,253,043,594,194,460,849,311,713,926,345,000,877,402,331,535,927,042,
617,218,217,667,815,988,635,134,383,291,120,162,169,957,277,196,852,280,431,
562,445,425,933,768,235,803,379,426,755,199,297,604,322,460,039,324,923,723,
915,273,438,765,033,457,268,855,648,933,746,549,381,919,119,062,877,238,607,
726,099,837,985,817,334,757,873,952,938,533,298,002,481,988,824,299,582,676,
219,845,480,717,477,018,335,525,961,021,351,993,070,183,460,071,163,803,794,
680,252,250,207,781,343,729,255,929,676,621,430,827,646,761,961,766,835,468,
675,670,309,945,575,288,084,327,566,235,377,445,071,791,529,142,684,586,628,
790,812,812,121,322,926,898,192,527,004,751,640,102,350,708,916,187,079,433,
149,367,981,344,086,231,039,293,474,124,567,356,544,888,580,894,364,793,829,
427,528,529,085,762,319,620,914,642,296,024,309,646,993,978,460,374,974,464,
043,040,460,796,388,809,324,963,174,834,446,796,458,176,623,932,770,997,079,
210,746,761,602,205,620,419,945,620,464,509,699,258,805,668,555,770,761,256,
351,215,660,295,504,030,327,268,227,355,982,136,877,146,202,479,473,770,000,
808,759,730,492,288,197,496,724,880,926,618,225,240,732,185,737,230,577,140,
048,904,526,146,347,731,465,647,341,932,715,074,796,451,034,719,775,316,909,
545,088,282,501,359,038,808,864,391,535,984,171,041,277,692,918,009,993,148,
513,289,046,660,279,632,672,707,209,484,883,716,748,899,905,864,809,214,917,
135,044,535,174,907,474,818,803,933,402,184,985,155,682,492,645,180,779,722,
191,402,076,674,231,308,489,061,645,202,238,578,885,638,677,448,053,400,083,
902,107,880,560,031,541,766,456,302,439,950,497,020,989,878,191,900,102,938,
016,715,252,429,558,897,952,477,011,343,253,833,979,026,800,584,012,721,307,
430,857,426,601,873,984,498,976,429,535,165,314,786,918,610,575,977,000,439,
568,778,359,192,311,615,197,636,779,643,236,465,462,529,886,784,276,902,062,
146,403,333,862,530,071,064,288,846,179,849,160,367,464,181,397,908,309,365,
311,052,917,045,655,451,647,720,188,653,590,507,551,094,627,934,726,512,676,
955,927,763,879,987,727,835,629,723,686,741,921,454,491,665,837,648,029,345,
110,796,752,299,600,705,477,107,904,732,571,026,296,163,603,015,687,162,350,
676,373,693,580,425,689,178,105,456,931,079,242,272,726,658,769,437,405,545,
729,809,389,403,361,335,085,820,065,922,021,086,307,750,382,620,388,359,602,
612,141,170,561,560,832,346,207,945,332,087,384,966,575,776,098,428,239,684,
118,896,323,300,788,681,686,036,121,091,974,452,095,144,160,461,675,718,184,
408,873,722,165,915,646,702,986,730,708,498,430,462,210,523,559,546,332,784,
018,784,668,644,156,816,350,522,489,891,736,994,746,503,927,899,025,583,739,
735,623,458,061,363,327,903,269,014,169,723,010,514,827,159,816,184,693,564,
131,646,946,890,898,373,982,534,239,818,840,440,406,569,352,292,343,268,925,
229,468,776,242,167,780,284,316,869,872,353,850,923,584,552,104,630,434,331,
610,393,655,957,329,199,054,158,800,931,878,519,461,344,573,145,349,330,495,
540,718,680,516,267,454,244,118,622,290,888,783,461,477,269,543,075,329,431,
597,554,161,165,788,854,783,692,341,825,518,111,558,292,306,490,702,866,235,
596,491,323,773,016,995,494,385,637,312,723,097,850,379,357,255,916,082,850,
743,440,063,865,093,332,477,525,574,932,827,332,090,671,248,320,106,183,922,
447,880,489,476,441,961,311,728,171,307,506,126,686,060,961,190,635,226,045,
537,248,562,277,779,405,810,003,128,917,269,945,969,676,633,328,175,346,208,
941,622,682,887,415,491,049,776,709,641,883,054,162,378,651,067,746,976,920,
793,328,263,244,697,555,525,468,363,423,030,019,275,785,667,647,646,911,830,
904,924,354,030,341,641,578,705,882,008,282,352,837,594,650,416,193,362,658,
504,940,982,580,192,594,153,683,689,890,444,640,152,092,521,342,230,586,488,
976,792,474,837,552,282,626,019,000,631,151,153,417,778,481,468,295,897,058,
417,751,701,194,823,444,375,165,668,423,148,802,946,876,850,708,058,348,408,
426,052,696,548,486,033,241,403,144,963,743,764,045,853,324,382,559,639,808,
651,740,193,219,997,525,026,287,282,008,440,392,063,109,242,244,249,420,383,
217,992,937,760,507,812,858,402,985,808,687,763,962,543,106,115,023,421,875,
730,909,663,602,039,701,562,522,998,352,090,210,198,857,394,349,344,573,388,
830,564,349,486,841,094,933,506,504,104,343,161,728,648,563,755,758,269,323,
778,421,950,276,738,853,336,713,578,414,565,805,941,577,437,876,497,203,853,
861,076,171,396,191,460,529,784,070,028,245,442,035,763,608,604,214,671,804,
843,327,082,556,772,909,554,213,658,695,181,242,633,376,837,926,061,186,450,
072,900,661,845,028,957,059,941,402,096,403,410,592,353,059,680,678,943,267,
079,651,163,075,293,888,850,891,359,854,879,690,164,368,068,249,474,314,669,
369,752,600,477,296,775,293,508,057,010,077,880,831,960,939,346,607,619,114,
994,970,790,968,896,777,336,687,378,673,834,608,964,899,375,489,444,804,517,
297,508,906,312,124,566,270,347,500,318,992,975,564,154,818,601,243,461,375,
799,344,516,565,824,690,437,180,578,999,495,084,398,343,540,703,904,713,597,
426,766,999,610,651,547,068,870,316,931,300,015,091,655,251,985,859,042,257,
383,484,058,051,235,605,261,169,771,132,215,762,136,114,159,044,554,637,542,
256,905,651,383,803,295,016,279,135,615,523,434,420,554,221,834,424,818,757,
654,966,034,598,396,289,537,629,126,129,309,622,021,357,921,285,160,802,418,
533,540,425,341,021,453,343,289,719,419,594,217,154,120,068,370,086,676,426,
864,215,183,915,259,398,622,810,446,289,631,089,316,344,456,653,632,164,951,
817,281,155,626,427,474,863,180,954,558,900,777,462,321,279,873,730,501,554,
794,290,260,462,386,921,306,094,382,490,723,402,417,000,406,148,675,922,765,
192,293,712,375,739,900,570,291,293,858,676,280,641,335,286,254,666,386,216,
752,732,678,895,213,223,184,328,013,468,009,161,601,881,336,377,684,808,597,
604,816,046,672,615,339,874,177,798,594,048,477,194,203,039,524,846,414,678,
459,966,126,126,318,823,208,341,120,543,950,155,951,244,975,793,496,236,390,
152,071,240,518,560,477,689,438,280,010,478,870,376,159,666,351,459,143,917,
975,167,226,613,144,172,356,841,152,835,372,748,697,411,842,191,226,653,625,
564,372,818,831,375,786,587,993,672,341,082,667,024,074,489,262,111,498,767,
994,126,425,728,546,417,787,609,630,172,955,764,121,440,739,143,479,194,035,
690,929,362,881,982,367,649,541,019,856,098,677,064,981,190,901,466,075,114,
728,766,006,588,437,516,810,290,933,264,999,696,270,180,168,763,280,822,997,
549,238,990,951,011,103,240,125,807,687,539,855,250,911,809,498,496,927,598,
605,929,158,794,566,486,824,244,548,389,845,013,901,191,907,975,062,806,679,
294,280,977,573,106,497,409,391,350,720,403,089,002,271,128,954,009,969,447,
595,986,208,958,066,478,058,164,730,447,326,844,893,670,838,878,125,894,934,
144,200,905,983,966,138,883,299,056,799,986,975,913,257,524,108,840,703,310,
036,333,284,128,741,889,164,915,784,262,439,215,990,662,608,315,104,308,912,
656,905,883,772,100,767,744,248,453,982,634,388,516,968,839,930,428,425,697,
737,560,818,833,155,377,033,375,525,685,744,404,659,641,022,143,871,916,694,
210,868,546,815,526,440,124,446,418,744,415,110,611,757,509,632,795,437,835,
391,833,237,346,947,505,881,382,799,696,838,478,904,077,979,638,507,822,609,
399,005,259,961,832,500,596,941,870,439,772,649,408,152,420,486,927,640,463,
902,903,084,972,201,061,526,103,216,916,486,155,857,961,021,764,737,481,462,
029,385,898,158,540,640,655,378,130,485,126,873,823,576,169,181,120,982,431,
409,394,208,813,063,525,578,714,245,537,889,344,698,324,468,261,808,771,712,
664,657,739,810,376,889,902,527,997,213,184,294,999,838,082,325,513,120,879,
417,812,494,912,430,311,176,631,085,986,966,025,397,233,745,377,132,502,075,
092,380,317,910,653,689,487,455,574,617,378,917,319,195,802,984,746,981,013,
898,300,033,750,144,524,863,015,848,435,995,938,605,622,892,993,280,255,586,
821,909,275,008,802,027,155,050,546,532,560,800,347,763,188,930,146,610,810,
453,767,339,003,550,645,876,274,108,107,316,895,847,864,754,908,402,997,318,
601,017,820,550,695,802,353,953,507,144,732,697,617,381,832,137,149,568,964,
193,170,718,234,394,023,433,538,229,505,859,235,862,984,040,691,815,848,842,
089,054,384,467,496,273,908,946,116,990,594,779,774,160,319,661,377,267,045,
145,790,097,281,291,533,490,883,784,996,758,992,537,726,939,450,578,624,765,
964,017,898,641,553,590,148,733,391,860,812,481,247,370,751,420,129,513,617,
446,512,578,749,182,131,675,552,532,681,087,273,284,150,969,791,587,779,383,
165,926,474,395,384,447,767,901,334,863,978,211,084,975,533,926,143,485,509,
934,015,919,533,792,955,709,246,686,356,734,352,090,419,724,066,791,583,672,
071,460,960,058,981,412,189,786,600,948,822,039,641,428,205,319,109,682,244,
456,380,977,681,292,588,360,228,244,654,144,175,401,817,640,120,045,495,405,
737,711,646,209,682,550,889,558,689,679,653,330,056,148,370,656,669,742,430,
223,858,495,184,435,702,084,781,061,646,159,122,427,670,102,113,142,998,484,
680,197,251,414,578,562,304,741,259,142,015,274,030,749,443,093,602,308,057,
502,934,125,579,190,751,965,987,832,399,889,061,010,304,502,808,510,303,673,
231,740,871,166,308,077,620,526,233,668,280,753,788,159,126,872,008,604,487,
331,775,054,304,345,611,735,746,733,873,775,250,734,327,316,507,001,543,366,
205,370,677,416,252,972,135,616,718,150,565,350,188,663,704,224,059,303,204,
895,204,387,245,044,063,808,848,503,492,055,522,885,861,373,675,650,490,624,
914,666,815,968,015,137,435,750,899,927,468,311,296,787,147,048,563,660,256,
095,827,858,883,296,859,602,372,517,461,233,025,326,057,637,041,423,518,947,
830,061,235,865,953,700,465,622,501,307,539,945,847,784,331,675,328,255,215,
545,943,857,377,640,174,561,602,324,653,411,188,564,755,430,113,328,741,033,
892,345,228,012,270,994,832,794,862,265,476,108,026,964,449,527,129,727,755,
556,254,483,318,520,572,022,674,203,872,627,611,790,522,065,425,003,328,212,
926,360,279,129,439,309,261,499,095,154,265,706,585,456,562,006,972,309,684,
020,343,084,646,291,043,561,823,293,968,373,116,944,355,709,771,251,759,832,
656,138,437,678,373,825,093,601,149,384,246,331,697,346,463,342,187,460,364,
591,926,686,008,406,254,351,895,469,683,978,210,680,903,439,395,134,830,940,
133,417,704,950,178,920,970,339,056,061,355,290,199,172,049,710,745,481,640,
844,319,422,227,307,046,572,095,518,523,562,333,970,548,255,020,149,922,049,
769,570,616,342,926,827,893,746,690,114,920,626,929,125,692,537,381,144,354,
507,024,282,130,583,265,728,368,816,099,011,195,732,609,013,413,090,499,246,
439,532,124,554,458,008,225,897,134,586,944,911,375,125,256,268,752,423,214,
020,946,234,219,634,671,577,468,416,612,923,012,264,732,841,799,249,122,106,
244,128,206,800,805,174,815,180,421,777,499,912,158,004,222,328,878,183,538,
145,245,828,800,586,805,257,116,692,377,032,618,073,049,879,100,012,794,736,
391,560,527,002,987,330,043,272,872,856,321,369,864,924,270,385,320,944,878,
485,748,114,001,895,982,288,595,490,667,727,792,673,829,809,361,626,459,536,
928,860,025,986,781,640,820,173,293,939,113,921,729,707,208,118,988,614,177,
154,852,024,875,428,059,104,141,359,960,688,821,493,624,246,199,592,332,239,
689,281,592,384,005,458,597,584,169,547,896,389,060,297,129,546,831,558,041,
385,947,206,775,516,585,313,537,089,384,204,009,677,464,158,695,929,852,103,
267,295,819,870,057,874,929,942,295,295,486,727,219,195,609,264,346,863,190,
914,752,356,287,534,786,427,292,141,851,318,899,619,312,311,357,991,925,346,
580,055,753,475,887,143,363,640,340,530,862,755,307,781,660,727,161,865,222,
733,120,070,632,245,128,177,201,454,685,401,377,832,615,350,526,143,589,938,
812,369,658,657,406,680,870,365,586,400,758,115,054,754,478,622,725,290,021,
800,015,417,995,737,536,624,412,169,466,877,293,448,106,748,647,850,862,811,
228,127,743,309,895,730,636,046,915,930,720,331,522,391,863,620,653,801,839,
577,860,514,341,418,956,396,352,574,894,773,031,356,469,552,661,466,762,840,
118,531,568,555,613,171,961,665,110,257,750,782,753,799,703,121,999,982,499,
647,530,557,214,625,212,750,645,151,018,166,644,107,766,219,609,027,603,131,
609,126,715,180,998,014,545,392,510,189,686,884,507,424,311,264,990,075,008,
587,419,343,319,608,498,184,167,988,522,212,432,887,089,658,454,402,027,593,
995,325,525,871,602,762,361,135,975,550,655,934,062,853,219,773,247,991,836,
731,212,562,046,153,216,887,706,993,983,197,573,481,397,613,607,007,374,979,
642,468,256,139,685,473,461,478,085,742,721,600,491,431,925,248,612,862,871,
199,952,480,741,508,417,648,303,547,060,663,647,348,543,679,160,709,381,998,
674,522,103,272,224,131,492,958,523,278,542,242,791,329,355,764,611,622,818,
857,273,728,241,829,725,108,344,558,519,555,952,107,931,548,355,737,273,303,
483,593,869,081,452,502,098,635,728,149,127,431,039,191,045,238,358,420,097,
445,951,536,140,457,298,671,957,217,103,544,057,265,683,984,896,517,913,576,
998,552,107,488,133,599,300,664,135,749,151,569,334,802,573,060,842,869,330,
632,803,897,759,133,531,044,970,938,738,402,888,686,688,764,497,079,777,278,
202,566,470,775,387,760,998,352,508,558,729,131,503,456,825,749,062,405,512,
278,279,642,745,471,820,039,488,891,156,726,869,327,264,681,694,952,772,542,
435,676,875,789,692,493,694,120,507,573,135,778,660,344,552,777,618,388,188,
816,210,816,795,405,892,623,612,071,987,957,917,201,113,729,731,005,999,966,
637,023,003,644,336,736,156,134,864,629,229,431,920,188,685,186,594,621,105,
467,384,006,801,319,797,326,996,335,951,503,153,101,034,917,928,619,731,460,
977,149,670,173,834,682,678,518,897,743,762,079,595,721,881,302,201,931,437,
555,816,059,194,307,268,825,064,041,241,036,570,252,543,095,763,070,392,313,
353,752,916,413,663,735,570,247,861,311,854,187,538,291,318,574,514,318,857,
410,184,421,352,713,449,649,437,344,700,095,568,373,897,226,499,622,937,030,
590,734,102,124,015,889,340,883,679,140,329,897,151,775,422,350,701,793,942,
817,331,034,902,685,388,603,375,321,864,031,571,797,637,452,314,014,064,787,
507,089,830,740,692,218,577,737,019,934,732,895,844,820,313,640,671,637,054,
699,888,348,345,855,489,947,415,754,162,096,910,492,292,575,668,721,415,588,
055,764,062,852,555,496,756,670,150,053,753,083,832,232,872,805,363,266,914,
776,192,994,282,584,610,284,845,805,669,713,102,089,426,447,708,843,650,438,
213,917,299,239,887,237,436,646,038,377,306,117,259,226,498,142,992,980,872,
174,290,718,171,063,925,888,975,122,091,397,253,051,783,533,139,415,465,769,
575,085,473,708,132,398,852,194,583,095,233,039,625,395,079,400,859,655,968,
948,707,876,857,761,211,848,159,538,281,583,891,730,385,559,269,806,000,813,
440,943,098,024,345,323,050,687,494,911,524,541,735,946,922,614,197,638,604,
383,364,180,713,326,675,634,754,328,011,779,311,490,570,265,265,730,390,929,
354,565,921,671,325,301,930,784,901,370,591,791,895,094,744,554,200,611,737,
090,280,427,446,102,088,814,438,167,216,714,428,559,254,252,966,563,471,506,
281,368,978,097,090,998,926,137,711,138,976,658,656,288,463,937,757,333,344,
741,877,121,206,403,034,798,123,586,146,421,391,113,177,644,823,154,248,651,
001,979,471,531,406,244,781,134,068,764,749,813,224,484,651,530,182,816,255,
026,045,437,560,435,495,823,762,811,836,189,817,038,379,485,287,132,690,652,
769,870,062,472,735,269,489,302,585,850,308,261,691,663,077,307,304,735,201,
512,272,046,540,139,737,938,727,100,112,395,676,941,068,095,523,370,163,249,
224,674,790,013,167,333,346,599,749,168,462,030,671,769,052,383,244,155,601,
676,701,045,471,571,768,667,663,308,417,675,008,634,905,607,516,928,872,198,
343,241,010,705,708,547,113,417,867,106,174,673,560,638,191,244,656,504,240,
627,534,063,316,835,562,631,278,281,077,223,295,641,975,274,414,256,545,690,
511,462,782,609,040,556,272,666,521,698,280,767,715,192,740,371,568,293,975,
442,579,880,995,326,292,810,590,919,688,056,920,825,131,817,050,772,287,276,
847,458,916,144,861,625,110,111,026,546,389,230,965,238,567,873,172,744,093,
094,356,129,607,623,086,361,584,209,198,597,233,617,284,038,439,234,674,427,
468,188,613,974,232,160,780,394,823,143,154,324,569,481,853,072,843,380,554,
545,314,147,328,535,844,528,510,864,555,586,241,829,276,698,876,331,779,277,
920,636,816,087,899,450,593,601,645,252,718,142,252,494,014,036,655,362,520,
597,785,783,215,741,412,699,984,304,149,553,599,970,485,642,887,924,928,726,
768,287,913,897,833,213,375,555,995,867,478,151,964,058,407,712,643,330,542,
647,293,947,412,217,962,595,721,513,803,704,139,042,979,881,172,708,627,159,
144,336,383,491,254,235,606,403,657,492,051,662,681,686,341,425,580,890,601,
903,376,927,723,629,670,743,276,830,821,610,189,407,160,133,096,120,090,565,
793,001,350,403,653,738,137,701,483,975,103,887,002,119,718,720,710,183,146,
807,523,346,484,075,890,566,750,510,092,197,432,558,835,506,275,485,616,308,
168,634,714,811,408,476,913,179,885,624,889,765,032,837,853,180,462,912,572,
794,093,157,063,780,173,807,096,994,752,842,759,953,184,776,440,185,530,638,
555,704,807,096,008,492,084,966,178,535,548,356,773,126,462,141,270,387,190,
375,217,786,501,131,913,532,620,573,257,546,839,212,769,560,208,090,175,932,
716,815,037,920,811,186,180,740,711,917,055,733,822,608,486,743,138,982,460,
827,121,111,672,786,794,844,290,100,446,988,528,815,526,573,003,685,174,854,
830,982,008,184,352,570,149,832,096,425,856,792,782,043,800,179,250,800,408,
898,013,077,272,137,529,325,468,904,762,526,634,394,998,483,848,721,254,973,
514,611,612,431,482,616,954,416,932,041,714,119,426,118,492,977,809,881,483,
666,025,320,360,964,615,920,829,494,920,667,384,837,105,929,844,157,187,331,
874,629,542,811,332,917,584,719,451,511,927,968,096,252,773,217,261,658,525,
579,252,951,678,492,815,436,734,574,106,180,629,336,019,880,033,300,591,485,
898,340,577,198,894,829,194,357,383,870,965,057,713,137,551,012,390,782,354,
366,873,972,349,905,026,227,125,001,327,757,735,723,353,866,097,000,029,068,
097,246,644,719,670,739,308,242,686,095,434,504,403,000,034,431,433,206,746,
867,717,000,306,384,551,019,398,591,786,092,417,112,662,911,997,444,174,829,
098,410,578,013,718,598,230,707,071,116,852,743,427,081,769,047,916,600,323,
647,565,611,320,666,606,034,536,212,398,241,575,329,443,583,086,802,472,096,
237,624,327,308,518,816,470,277,513,947,869,182,494,565,842,772,043,365,337,
858,698,525,270,731,041,843,356,823,399,919,859,037,880,179,454,227,410,177,
793,157,211,675,867,370,988,663,783,330,518,050,113,503,952,659,079,404,468,
218,991,048,035,851,722,119,964,915,524,536,322,935,798,165,267,460,371,731,
525,064,399,968,051,402,428,673,871,358,895,525,169,020,550,406,210,706,440,
422,510,334,511,909,163,315,090,208,812,558,653,573,749,922,479,453,492,843,
361,503,711,589,094,110,824,410,047,120,438,918,125,652,646,760,232,014,539,
529,075,254,277,920,194,856,329,097,078,079,883,471,854,371,018,712,836,008,
312,310,935,717,513,947,476,186,103,241,806,328,407,981,228,004,358,233,008,
176,929,521,637,519,038,451,587,780,610,007,883,895,093,929,323,868,289,386,
195,390,282,219,163,347,673,520,139,804,823,650,536,511,975,299,960,997,910,
267,260,097,971,014,807,873,611,626,258,696,218,737,322,839,954,138,711,012,
332,597,314,800,222,634,198,642,664,301,840,057,452,744,587,781,111,111,633,
697,387,007,992,821,959,769,716,719,791,763,597,674,196,094,396,828,019,769,
277,326,413,077,988,038,247,351,147,651,155,735,237,363,861,923,969,927,735,
638,424,053,702,033,813,037,670,408,677,744,490,722,177,599,777,809,726,187,
921,911,025,701,901,426,272,393,421,618,197,570,043,765,950,311,560,110,400,
647,845,076,036,811,678,428,322,497,759,959,984,438,402,708,892,558,756,758,
223,165,187,635,433,769,131,467,382,317,855,772,433,964,955,906,503,070,385,
388,482,253,429,298,283,499,262,415,251,806,473,902,666,382,269,285,766,901,
427,031,565,159,506,791,967,495,112,331,416,019,650,958,209,522,522,049,363,
254,213,807,983,592,689,926,958,144,682,701,441,599,527,904,650,125,701,009,
130,687,791,410,160,734,617,337,352,684,077,287,101,359,571,764,983,670,198,
670,001,282,997,546,985,869,557,732,634,391,042,213,405,225,727,816,655,403,
815,070,039,491,015,931,666,112,529,806,890,666,191,048,500,437,646,038,125,
598,344,642,030,021,085,288,117,111,762,651,196,582,733,457,390,395,238,783,
310,994,871,962,430,978,351,579,267,295,668,034,673,309,883,420,505,440,465,
471,390,747,327,484,759,973,293,221,925,034,045,653,145,259,477,446,227,901,
402,428,249,918,055,679,711,236,969,535,718,804,940,195,833,516,492,699,833,
174,637,756,738,865,175,621,002,267,215,269,981,455,543,986,934,713,230,435,
694,650,905,876,083,696,429,097,617,193,043,325,316,613,588,575,077,502,982,
949,345,254,600,849,927,284,851,154,603,459,951,140,582,867,117,942,451,003,
129,492,714,273,578,719,885,750,543,841,768,621,639,534,574,743,823,429,718,
049,764,035,828,353,236,229,530,131,337,397,317,922,346,770,589,760,433,905,
812,772,392,177,345,747,935,454,952,941,284,637,040,962,139,295,201,973,828,
670,430,119,035,095,108,295,103,077,454,568,607,723,115,731,488,369,702,500,
343,877,303,545,000,794,191,609,212,014,591,915,817,109,795,556,361,377,534,
952,269,398,411,965,946,971,367,353,722,277,042,936,280,348,808,106,394,542,
131,364,136,773,675,719,819,987,679,879,288,585,055,041,114,972,253,914,800,
263,338,593,523,252,755,685,746,205,682,636,095,652,823,476,813,684,408,197,
858,956,077,438,160,222,489,611,265,415,873,446,907,374,619,035,268,945,293,
678,195,830,516,833,744,297,360,956,886,057,050,612,743,158,072,596,619,053,
204,493,590,579,456,634,419,718,201,162,567,279,092,463,234,353,150,237,568,
733,956,847,201,900,523,688,638,157,035,864,466,222,731,051,442,265,942,624,
205,929,813,182,261,363,123,052,027,878,102,860,675,439,368,628,633,886,527,
885,714,023,394,133,377,057,230,867,998,976,019,579,341,294,946,907,910,345,
645,761,086,556,034,228,230,103,750,051,229,224,869,438,397,188,136,415,369,
967,593,143,916,314,193,147,545,460,781,652,041,468,975,214,029,504,300,430,
989,854,267,409,932,077,902,892,871,117,951,508,386,013,424,596,781,557,398,
824,160,461,092,806,045,697,059,950,507,886,701,575,266,484,776,141,597,449,
360,382,442,542,681,405,123,234,143,712,238,881,573,871,344,942,273,797,388,
950,043,858,999,560,479,798,027,857,344,642,159,387,693,326,408,620,231,066,
327,176,929,315,042,103,776,569,443,746,266,718,886,366,842,070,589,411,209,
883,836,874,352,927,680,473,139,497,906,748,881,314,386,648,875,666,730,075,
484,095,325,547,235,888,199,154,072,852,867,946,817,500,072,622,546,321,956,
678,037,191,537,681,611,721,414,386,203,182,183,698,745,326,071,918,638,585,
763,297,411,597,658,462,646,810,646,445,227,618,973,146,769,465,893,890,973,
664,084,549,895,138,543,061,899,652,964,714,825,993,569,634,076,155,183,938,
255,685,598,989,575,592,361,746,318,063,612,620,862,945,573,754,964,944,770,
921,058,798,097,295,174,090,326,121,814,215,768,463,773,854,439,938,624,877,
417,468,933,439,301,323,317,003,196,133,600,454,532,171,271,211,114,150,598,
505,788,646,378,343,540,146,214,935,309,340,696,516,319,003,559,176,644,515,
610,484,705,918,060,329,347,525,638,328,103,197,480,471,724,573,096,036,122,
663,008,935,669,992,172,142,582,933,416,558,179,973,981,868,137,314,605,241,
806,090,256,656,419,353,342,580,744,091,101,811,399,539,559,982,830,149,345,
482,707,279,317,047,036,681,951,058,408,911,283,695,291,310,408,568,300,722,
611,188,370,127,922,642,619,439,650,357,014,041,951,345,063,577,910,124,025,
510,020,528,226,688,717,613,644,901,569,548,768,813,235,736,695,385,541,390,
939,052,133,489,026,559,089,981,649,854,419,989,139,885,310,643,475,460,893,
715,821,620,380,048,666,196,418,516,902,707,024,371,926,456,626,149,584,678,
241,863,210,442,369,097,051,619,060,315,368,300,166,160,510,713,049,201,166,
094,008,439,405,133,301,992,540,065,174,332,179,407,249,968,498,662,635,016,
837,352,507,954,949,849,660,628,899,583,196,180,831,517,630,406,340,016,971,
407,631,226,300,542,471,938,973,647,355,379,742,186,704,576,722,363,799,957,
939,606,470,927,325,178,196,117,747,059,716,944,284,709,086,548,363,695,122,
735,254,963,127,150,500,716,663,431,823,317,484,668,430,799,684,053,218,607,
179,018,782,661,685,414,788,604,487,402,470,122,915,323,199,756,455,103,084,
332,909,667,642,203,239,763,609,163,017,370,814,614,324,778,109,953,733,096,
749,174,230,181,215,127,802,647,518,921,472,503,227,339,974,838,272,395,229,
995,281,747,220,607,852,087,019,686,752,653,416,178,916,078,958,483,388,723,
111,926,059,851,293,078,736,281,699,764,255,510,375,737,079,168,577,751,964,
535,862,148,492,300,336,425,448,683,894,958,845,073,712,112,837,724,909,870,
451,837,062,473,298,032,574,706,961,570,708,042,587,186,860,253,602,781,123,
416,510,188,195,526,460,193,453,053,714,033,234,308,337,740,371,921,081,822,
232,790,886,945,016,191,172,002,197,029,031,337,203,178,514,412,059,872,292,
001,938,498,155,474,926,353,111,010,021,558,651,343,743,129,172,280,418,233,
263,142,004,172,465,720,347,289,002,547,313,268,658,764,592,970,000,113,931,
165,866,882,452,819,721,290,749,324,684,751,259,651,293,658,172,294,710,630,
339,329,916,410,498,652,629,394,111,684,151,196,281,487,101,853,332,059,921,
705,025,930,953,408,424,147,310,614,614,409,056,359,535,363,939,712,838,727,
860,554,340,260,179,057,278,042,449,056,816,585,878,904,249,954,913,161,845,
017,945,560,044,558,213,839,958,955,266,674,256,332,660,094,685,573,376,464,
443,295,517,183,244,389,975,840,898,744,749,570,603,318,471,364,162,540,032,
007,937,667,281,349,656,715,306,662,689,925,939,670,151,190,852,292,615,142,
965,141,370,525,930,450,291,757,224,633,661,057,466,405,525,230,725,259,710,
408,189,615,133,283,959,346,254,387,242,465,127,055,728,920,354,105,681,447,
400,653,237,470,204,495,098,718,135,942,757,986,341,529,193,901,900,206,453,
273,229,566,715,926,693,683,394,031,644,978,400,381,489,172,932,274,823,666,
821,647,615,890,580,321,265,869,358,429,875,398,044,674,334,221,638,532,108,
349,654,529,043,326,275,856,721,203,362,375,170,574,476,037,847,963,690,999,
823,192,289,205,285,348,683,404,412,603,798,246,950,194,145,788,960,413,175,
639,547,786,086,705,500,437,979,658,285,942,146,306,442,550,537,562,542,778,
494,608,773,463,219,798,676,216,672,010,514,082,566,499,438,378,079,320,291,
694,883,384,007,034,793,482,598,581,075,350,259,116,215,558,681,603,407,532,
293,692,726,182,444,207,815,420,493,856,244,318,478,991,264,669,221,280,497,
310,465,451,422,360,556,500,306,603,106,970,471,364,636,147,651,049,282,315,
341,647,201,636,513,701,152,805,972,892,816,220,353,587,443,951,499,071,123,
044,376,863,682,495,798,811,454,118,437,655,349,280,740,781,548,287,046,456,
663,659,760,674,643,203,102,712,023,830,576,607,558,601,978,502,351,122,050,
419,254,549,292,726,902,113,448,873,477,142,556,957,520,043,681,046,404,114,
611,352,054,753,690,070,606,655,553,182,529,917,919,059,018,251,778,528,514,
581,544,097,315,379,831,547,927,866,220,020,271,071,882,350,738,943,010,948,
937,921,227,447,155,298,516,739,372,021,124,863,814,659,568,323,169,489,288,
391,409,061,373,216,645,815,740,166,333,602,869,554,150,042,895,119,863,683,
383,689,625,093,087,881,374,714,109,769,188,437,131,108,365,877,443,618,002,
866,668,140,587,208,060,553,627,426,717,116,433,935,360,034,111,624,905,988,
439,416,593,492,575,582,225,172,324,968,765,839,048,728,566,956,914,913,679,
304,705,065,336,737,000,158,950,700,557,349,201,063,544,564,189,817,897,589,
712,651,176,229,310,901,315,387,051,104,491,914,327,550,415,388,333,299,409,
037,979,789,551,860,252,300,192,667,531,143,080,814,095,582,448,252,917,720,
096,196,349,431,507,448,965,677,734,719,623,007,063,692,471,383,877,756,078,
651,991,464,886,435,297,166,444,224,384,790,370,125,453,101,510,970,349,359,
860,241,914,646,338,856,896,499,090,043,309,806,306,847,166,861,907,800,248,
551,507,588,333,018,654,842,655,531,897,496,736,424,044,091,139,526,874,471,
065,185,359,362,549,729,768,886,854,788,277,029,842,232,252,356,501,298,189,
756,357,883,363,482,667,138,103,062,297,569,461,484,049,740,297,657,517,771,
201,328,793,241,435,662,136,950,837,613,533,680,709,324,763,109,457,581,675,
084,356,759,581,097,763,359,422,326,387,625,329,964,124,977,919,007,596,561,
152,259,321,938,202,130,081,700,014,012,824,197,855,789,819,589,818,758,781,
481,900,857,670,641,063,713,248,981,059,079,204,388,199,160,920,265,750,539,
413,832,055,176,481,215,668,962,227,141,679,227,595,158,317,730,877,706,166,
730,385,041,163,877,088,826,514,116,724,936,241,127,320,269,209,578,027,769,
149,828,835,883,399,484,007,593,648,819,700,749,685,883,565,300,628,270,567,
626,472,756,990,936,017,573,828,218,192,992,868,291,773,783,648,707,602,573,
639,053,893,698,364,532,733,530,238,488,420,248,699,806,116,505,926,416,236,
728,437,089,030,395,952,836,746,934,330,320,980,139,678,708,986,455,410,264,
338,413,670,707,635,676,815,395,428,636,224,084,160,018,677,321,530,216,093,
132,918,401,819,015,613,029,404,699,888,780,589,481,887,143,137,654,211,094,
145,925,855,119,822,566,549,453,358,774,290,093,027,752,828,883,442,611,543,
020,743,565,011,799,769,905,810,030,337,501,304,564,832,418,371,683,139,800,
962,230,388,098,222,655,917,754,140,432,511,068,460,190,615,339,941,506,663,
940,425,200,830,445,885,138,063,038,953,628,455,885,052,780,272,006,254,824,
418,635,487,747,656,557,672,500,419,177,800,102,406,693,793,512,262,482,177,
687,045,119,950,952,785,742,840,733,102,513,149,594,528,792,405,107,961,240,
522,642,835,721,150,777,857,527,105,478,120,918,393,907,951,146,084,957,606,
513,271,826,202,643,917,997,445,376,263,227,790,733,569,459,364,668,723,143,
701,346,857,198,570,619,895,366,060,805,198,121,910,133,849,159,232,796,680,
414,937,431,290,091,992,613,544,592,329,256,578,492,554,211,378,297,962,310,
835,727,240,460,784,340,392,423,168,032,158,798,790,664,369,297,603,643,730,
640,172,545,144,397,748,726,976,179,930,079,355,849,814,075,723,431,750,568,
277,785,299,613,724,697,781,511,174,633,646,020,679,145,070,576,877,810,856,
237,702,338,155,943,590,151,161,500,156,807,039,663,490,248,402,075,895,066,
729,041,646,573,269,712,152,023,828,138,258,923,278,105,314,777,039,861,527,
566,797,032,428,233,126,828,658,692,523,543,507,576,502,750,972,516,371,158,
416,625,611,022,437,811,408,584,258,905,284,527,839,398,236,569,755,240,221,
200,457,003,544,049,679,019,942,382,231,386,264,894,926,121,155,938,230,320,
601,508,492,117,171,470,564,888,361,688,187,422,068,677,503,081,716,303,157,
975,448,894,159,910,714,745,080,052,261,683,986,302,090,857,571,450,574,972,
004,538,761,277,175,688,526,422,580,505,464,972,185,467,946,586,852,534,667,
169,715,747,935,814,977,726,779,043,567,820,578,535,392,156,688,531,494,626,
690,561,534,280,085,929,827,693,277,774,544,177,829,618,666,235,451,029,501,
655,537,235,594,338,037,319,222,482,903,047,442,484,516,910,927,900,455,845,
732,694,556,452,737,375,086,579,339,025,454,896,827,444,810,358,458,031,981,
529,084,863,849,903,388,979,605,010,044,789,190,115,069,166,054,926,149,211,
901,612,542,596,667,662,891,578,874,368,473,519,273,565,610,538,823,833,252,
327,634,887,249,183,477,610,862,765,469,648,552,191,865,276,473,423,491,921,
950,980,760,917,134,540,238,183,537,283,510,795,575,969,434,569,574,474,741,
544,402,550,689,312,410,940,601,387,553,096,618,850,455,900,504,497,310,074,
420,752,142,974,980,605,401,736,006,493,734,419,476,551,101,480,887,328,410,
251,264,254,074,172,093,306,687,433,006,928,359,014,589,150,084,612,328,126,
054,409,398,362,420,662,222,801,358,219,218,078,004,753,151,683,029,251,004,
278,243,400,629,973,929,594,212,489,764,084,728,320,883,163,754,907,447,699,
648,920,167,075,576,512,445,524,975,941,358,261,252,430,578,742,117,091,895,
036,385,826,200,314,914,719,353,057,436,757,557,311,580,901,933,412,142,888,
050,529,699,594,912,200,102,647,544,946,231,744,157,145,654,219,124,715,408,
203,059,863,452,306,987,300,515,427,533,122,541,104,419,238,443,658,315,409,
640,882,879,576,735,678,182,206,990,757,106,801,898,037,460,695,562,925,460,
575,466,452,337,009,525,801,634,506,345,780,109,132,049,479,962,258,752,315,
619,722,855,573,190,516,106,230,973,600,142,529,237,497,852,570,078,312,536,
079,044,372,542,862,501,147,384,417,109,315,626,878,647,681,178,388,333,957,
263,092,027,481,636,599,321,499,591,332,914,697,748,306,451,662,305,335,162,
711,532,634,969,673,329,193,653,300,471,749,935,646,159,412,445,542,915,950,
291,335,551,175,443,274,879,875,923,425,714,636,325,740,027,079,134,866,829,
708,797,211,052,543,174,159,598,789,036,658,002,321,862,132,917,748,413,992,
264,610,605,012,670,034,976,767,468,293,037,504,858,375,383,846,773,766,958,
272,482,817,415,860,318,192,166,711,313,333,811,760,113,830,588,963,178,088,
091,521,824,298,116,784,843,823,084,261,045,917,201,692,612,089,374,117,587,
142,498,510,136,413,013,231,194,893,428,984,557,426,695,607,154,764,044,889,
542,456,652,497,676,086,199,040,211,435,666,351,619,479,361,453,214,633,604,
112,992,234,178,036,441,010,741,017,669,011,782,635,032,453,385,107,469,853,
273,676,951,825,953,543,706,081,333,349,769,386,215,867,731,184,210,126,386,
323,165,313,874,614,887,796,667,384,795,974,044,086,929,834,920,463,145,205,
526,540,514,027,335,219,028,641,470,891,471,023,856,644,227,981,888,099,352,
539,341,880,161,608,109,019,412,248,161,772,329,254,215,439,210,481,986,990,
392,021,514,239,951,713,510,841,919,125,843,115,440,875,068,941,786,886,324,
196,395,705,138,952,377,359,525,501,489,174,511,194,653,361,900,185,612,238,
421,738,081,630,258,407,639,915,838,263,997,210,486,946,656,743,024,008,023,
717,131,792,277,799,916,712,965,421,642,379,141,003,383,587,169,102,156,612,
555,395,438,258,666,576,543,063,473,421,174,355,523,897,033,283,775,344,479,
797,803,088,733,031,681,491,339,091,165,696,476,922,207,557,908,323,432,771,
322,632,301,774,420,501,758,507,862,190,616,517,602,251,309,944,588,814,747,
111,576,436,357,888,029,499,016,314,178,891,835,006,248,606,998,062,355,213,
972,119,701,103,297,977,122,532,124,977,449,925,879,635,706,896,604,414,378,
953,298,651,917,965,880,967,520,578,257,256,665,312,074,980,108,197,430,976,
188,798,311,785,088,968,159,623,986,984,862,940,790,088,748,866,094,074,080,
931,133,785,450,857,368,972,654,291,887,624,992,202,508,474,451,136,759,060,
747,781,494,925,056,443,525,257,038,892,594,966,697,492,757,846,751,408,649,
773,325,912,075,543,448,330,809,139,318,924,049,780,283,678,414,881,726,285,
059,282,411,045,926,594,702,321,019,199,746,026,871,422,620,046,543,787,996,
035,144,432,349,668,188,937,309,770,565,786,692,955,963,839,455,179,507,111,
929,472,568,387,894,740,299,579,634,338,490,491,483,694,399,279,772,188,586,
855,677,739,284,951,133,619,545,489,080,076,322,570,616,842,188,687,125,934,
199,137,537,879,744,905,773,317,737,678,103,238,942,400,095,528,609,397,128,
593,102,404,335,318,031,522,887,440,696,451,896,058,974,461,811,362,503,180,
471,113,860,405,696,486,019,249,219,608,990,968,625,702,221,254,149,270,179,
052,520,059,654,321,244,791,061,411,445,746,441,997,691,587,399,946,368,452,
311,171,547,486,980,306,245,976,791,684,003,411,613,000,490,584,470,620,125,
799,399,354,298,567,245,725,459,586,904,486,112,916,393,747,996,095,099,878,
005,643,692,286,163,893,889,641,386,516,265,157,339,026,233,077,935,291,257,
684,298,220,319,528,660,960,564,067,767,516,749,659,412,682,655,346,921,044,
170,648,908,857,289,568,017,905,507,428,354,486,809,342,118,942,217,878,158,
763,724,651,330,940,435,912,337,041,053,067,926,823,605,474,404,365,694,674,
952,558,965,462,193,685,301,249,662,210,647,922,018,927,073,278,970,194,138,
550,354,135,554,771,087,816,784,611,970,461,674,954,478,980,901,511,893,905,
762,194,426,905,080,601,113,155,078,134,385,278,423,910,239,039,085,157,534,
618,137,388,139,986,473,578,225,987,315,674,936,125,600,601,082,143,020,040,
923,562,062,077,935,839,423,028,278,517,436,977,117,269,371,508,113,185,200,
059,356,927,861,916,771,023,930,818,036,188,486,827,473,461,207,308,797,796,
035,334,395,589,347,432,875,670,347,322,485,553,547,973,339,959,896,101,915,
163,151,337,072,895,983,361,121,651,933,072,205,585,713,227,711,416,305,556,
104,563,910,001,462,548,564,499,728,235,856,434,843,667,550,109,312,108,628,
147,073,567,573,816,157,043,710,053,954,305,719,640,266,765,216,657,929,151,
797,538,476,067,961,335,338,896,360,288,752,662,581,516,681,408,107,159,575,
040,995,025,602,450,032,309,287,937,012,776,674,897,691,691,318,174,938,365,
371,323,394,396,311,048,028,432,086,046,270,567,252,172,483,798,035,000,068,
540,293,864,508,804,504,961,490,262,293,096,586,793,132,080,452,849,853,278,
229,937,624,172,377,461,808,556,056,890,543,405,062,796,782,951,395,815,942,
282,747,246,680,517,124,325,919,482,604,904,152,176,557,022,233,996,643,404,
343,672,533,910,249,809,894,313,418,252,560,446,915,254,758,821,241,179,684,
725,377,627,359,610,980,850,554,664,736,288,257,536,302,874,177,262,278,123,
755,735,072,008,957,512,018,179,008,055,011,783,261,657,593,546,714,369,588,
966,403,312,773,507,621,060,690,391,128,410,554,956,486,919,230,665,815,137,
936,820,788,733,737,698,587,111,955,372,982,259,531,819,845,088,907,008,511,
288,099,794,180,139,290,404,787,597,942,624,101,712,010,358,023,677,901,660,
271,339,635,665,486,270,327,163,631,388,738,660,966,894,925,125,972,939,279,
629,697,639,716,644,232,758,771,639,339,857,841,668,375,057,939,264,066,709,
415,244,866,283,769,055,993,350,218,547,342,678,267,439,030,257,550,710,161,
162,922,420,831,419,289,616,772,543,544,091,734,473,765,371,626,580,344,284,
488,598,341,085,737,003,661,664,832,775,505,363,935,647,579,036,421,333,858,
939,146,109,213,178,645,046,772,311,815,528,987,708,865,433,342,343,593,539,
874,113,433,856,816,516,520,271,690,035,872,102,797,240,771,669,943,657,829,
856,630,802,624,849,493,761,914,768,182,711,195,887,238,418,917,590,453,080,
694,880,070,612,229,476,780,650,385,196,879,201,964,112,667,744,141,668,863,
966,489,372,094,840,611,653,572,750,336,036,260,541,796,130,703,558,246,621,
686,385,235,875,669,603,660,324,491,009,672,341,835,619,050,625,033,417,434,
757,689,847,304,947,018,914,933,902,147,958,457,313,156,183,148,295,006,048,
239,853,225,297,440,640,229,570,731,992,393,300,402,711,012,943,828,045,823,
514,780,482,198,635,716,837,207,522,925,862,193,502,658,025,364,537,371,020,
238,775,870,791,566,497,067,883,196,832,696,034,126,805,008,730,571,415,635,
063,113,474,563,898,208,699,866,303,438,330,617,844,663,875,780,321,509,467,
122,632,730,315,431,353,821,930,662,999,879,859,557,243,341,078,149,110,111,
901,360,259,528,407,561,451,447,124,022,854,365,875,420,975,853,488,981,669,
004,792,145,542,789,146,759,466,321,783,391,172,524,066,368,892,294,503,312,
908,408,044,447,794,148,405,019,627,259,139,804,096,723,421,539,469,798,487,
650,688,951,490,350,008,948,989,832,405,277,875,901,749,659,254,303,292,952,
303,410,782,978,276,329,227,485,645,314,266,639,841,770,350,101,872,396,952,
446,562,424,402,632,122,601,868,038,517,915,644,919,109,403,292,665,256,762,
993,181,047,665,955,988,480,247,142,911,435,869,151,605,223,873,834,431,431,
604,720,305,710,645,627,214,467,175,008,311,738,338,205,887,606,524,098,653,
257,303,142,998,889,558,484,217,823,176,172,846,700,328,896,560,798,573,021,
831,612,845,124,590,171,850,609,611,439,232,255,396,401,587,255,300,742,567,
170,308,615,390,718,977,129,052,989,921,724,458,556,620,058,363,690,133,497,
328,640,244,783,639,296,577,093,960,048,405,330,962,909,629,189,476,488,754,
427,127,105,823,754,461,028,464,787,448,048,936,794,827,838,487,123,764,113,
143,237,944,695,184,930,940,058,128,586,553,995,620,694,468,861,340,532,251,
070,389,125,091,074,386,858,261,925,201,332,595,630,326,712,208,898,860,992,
695,665,619,183,084,583,376,922,958,848,038,656,932,868,330,155,249,434,118,
113,507,624,831,632,859,618,461,191,349,552,341,763,286,957,210,058,423,608,
771,097,835,639,747,244,659,872,657,182,647,962,012,363,776,471,546,151,853,
942,073,407,772,892,104,670,074,284,070,614,198,908,511,109,971,216,776,287,
570,882,373,419,464,948,706,404,822,572,662,914,693,537,091,972,210,186,433,
629,937,107,982,982,796,681,258,078,877,751,942,989,248,210,791,874,759,151,
796,102,854,561,016,217,192,686,955,494,243,937,035,523,518,068,389,980,020,
696,961,362,456,378,365,621,138,544,169,725,462,483,643,930,025,377,991,163,
178,350,740,626,213,167,449,243,455,628,468,373,071,786,342,282,364,054,371,
810,073,471,458,524,948,002,853,542,701,854,151,045,229,561,716,582,702,934,
849,920,650,544,220,069,817,156,470,648,442,150,572,446,322,850,240,999,141,
123,940,688,251,700,954,508,537,090,356,756,736,014,290,071,277,305,727,664,
037,063,745,266,989,071,517,218,359,595,329,366,713,944,115,537,272,674,311,
412,879,957,946,648,404,804,034,296,515,379,946,663,061,276,125,723,177,358,
548,707,710,695,852,723,822,919,645,249,195,980,160,678,982,522,158,008,233,
469,437,035,784,640,752,540,452,394,287,202,336,722,951,593,836,236,356,455,
318,004,217,374,560,360,692,791,624,335,627,935,443,179,887,757,657,037,858,
562,556,562,183,401,439,291,819,358,361,415,183,879,981,330,182,960,451,005,
543,812,738,979,301,521,391,204,667,262,215,836,418,042,236,190,617,748,154,
912,908,060,561,742,565,944,081,880,209,382,719,448,662,690,840,292,184,194,
901,749,704,380,894,259,283,821,001,443,540,174,185,905,756,835,807,182,745,
137,969,308,617,242,519,330,840,336,566,289,973,898,008,812,333,855,918,038,
783,438,626,757,040,367,773,246,665,442,503,903,620,619,787,137,819,895,796,
913,982,033,516,570,305,296,723,707,050,949,690,681,931,655,773,900,800,061,
011,960,642,135,978,964,189,663,359,051,926,052,407,794,200,980,548,069,808,
773,292,182,152,310,959,146,255,325,546,226,646,712,551,621,984,810,569,005,
169,572,989,898,558,054,455,027,899,045,057,794,504,956,916,628,442,108,883,
119,459,165,759,898,438,255,672,888,695,124,233,562,949,650,632,455,965,659,
880,970,562,535,829,392,896,209,885,381,522,585,295,943,191,880,556,103,453,
520,823,626,383,834,334,557,213,007,647,516,745,259,539,286,843,763,525,087,
043,742,825,565,216,911,782,588,802,481,531,158,020,187,623,043,431,777,809,
504,324,984,430,453,380,617,847,128,694,857,224,359,092,153,237,236,803,335,
408,870,820,951,060,755,446,818,765,304,696,147,545,197,006,499,138,618,488,
136,584,082,366,061,032,301,187,398,815,659,144,531,962,996,084,810,559,063,
727,294,702,236,380,680,811,084,387,554,489,245,443,854,389,435,203,160,505,
943,326,742,553,205,412,325,196,390,593,336,994,815,352,831,123,439,270,603,
878,398,700,898,609,128,571,638,612,366,833,085,958,522,933,229,260,216,837,
438,218,587,923,628,653,338,562,071,905,624,945,814,674,451,250,184,192,694,
087,023,686,801,013,169,018,570,487,826,478,754,161,094,724,563,851,160,768,
775,045,746,895,143,220,143,280,923,684,406,963,188,217,738,508,098,474,884,
289,452,717,104,110,506,089,256,949,150,474,980,758,226,203,591,893,666,189,
880,737,410,016,220,960,300,745,541,207,957,045,987,496,972,340,114,411,958,
685,115,476,316,714,419,242,631,467,491,647,748,061,475,753,495,037,658,199,
727,577,960,409,288,891,048,146,811,280,521,538,425,252,053,695,034,599,063,
381,496,498,947,939,944,550,419,784,966,145,659,906,376,638,746,299,299,507,
676,731,005,824,502,102,037,617,573,215,611,098,987,564,668,148,541,520,468,
502,917,330,532,330,085,552,471,001,029,776,862,900,133,169,591,124,474,283,
108,476,070,066,420,154,612,486,819,176,753,367,827,393,860,009,040,602,408,
902,729,370,700,252,077,758,596,780,700,577,982,088,491,315,865,866,535,162,
887,085,625,509,437,155,239,466,346,480,588,099,096,974,301,679,858,848,109,
481,065,967,716,481,302,160,581,469,020,955,628,497,166,393,764,532,548,402,
212,721,154,945,777,524,565,757,378,180,028,129,335,570,930,877,484,592,171,
059,225,768,889,707,071,672,754,778,176,553,235,544,613,947,830,815,799,854,
401,418,321,566,968,503,223,908,008,084,214,844,222,767,521,776,280,686,022,
545,019,247,884,684,792,235,578,072,860,226,890,136,406,036,446,772,190,967,
073,894,691,767,382,900,829,752,760,186,526,490,955,182,680,612,335,968,472,
024,301,493,068,278,411,618,131,313,197,753,385,966,907,864,386,025,348,155,
297,709,696,872,108,998,916,400,795,889,746,162,218,642,542,949,414,672,272,
501,596,430,133,899,143,640,610,699,385,485,007,229,797,727,206,445,650,388,
904,108,769,593,542,513,014,288,821,519,511,679,227,541,851,775,088,462,681,
427,893,361,385,166,001,259,971,978,236,662,515,013,174,866,113,547,223,572,
921,776,680,798,298,437,064,403,105,515,540,733,384,431,375,742,589,156,041,
993,501,430,157,140,490,856,970,247,140,484,539,927,371,605,100,956,143,553,
494,429,585,429,620,915,667,261,608,352,548,710,866,831,261,963,919,543,815,
779,586,467,969,238,281,635,723,897,521,484,972,806,481,503,567,651,093,942,
206,665,205,740,138,630,965,803,270,029,717,548,499,570,763,298,405,198,428,
386,736,003,042,118,508,819,303,932,238,266,062,075,796,881,245,357,559,135,
222,131,724,147,475,697,725,389,295,108,994,147,008,531,851,985,698,896,306,
020,810,885,045,432,948,127,594,496,558,167,347,979,310,420,386,761,499,484,
770,530,148,597,163,076,721,557,444,910,080,331,064,855,177,122,511,060,249,
029,351,947,163,970,439,394,426,921,658,979,006,835,550,670,252,784,041,760,
441,060,517,684,977,433,878,491,334,348,140,178,741,539,323,219,235,975,079,
125,987,054,040,323,756,423,137,532,246,192,348,462,247,050,796,070,230,462,
815,138,860,519,413,687,211,736,874,323,502,812,890,881,424,397,058,901,981,
652,884,531,850,884,120,438,705,824,124,327,401,988,900,473,880,179,910,410,
155,430,059,977,505,584,114,363,687,794,794,456,747,288,226,655,882,561,923,
572,978,747,493,552,400,186,275,437,876,990,205,162,929,795,092,181,178,775,
759,215,124,221,714,321,322,940,619,116,854,830,552,642,722,474,870,995,199,
308,033,280,649,191,173,613,419,889,764,325,017,528,427,650,366,893,753,759,
591,587,385,689,105,301,754,233,420,830,631,238,734,453,958,088,777,200,965,
526,180,521,700,482,463,249,127,653,882,327,040,781,052,061,877,318,191,163,
455,837,224,537,161,818,661,291,687,776,965,113,906,945,426,362,004,935,120,
890,290,513,396,596,882,892,310,061,806,811,269,128,462,139,152,616,206,648,
794,950,121,471,028,598,084,408,503,676,623,241,889,924,121,969,873,533,303,
890,227,733,246,379,978,859,562,197,134,429,293,405,357,360,457,402,872,507,
130,184,417,119,649,103,716,744,993,247,439,146,038,145,401,112,013,310,634,
946,154,474,274,554,958,153,963,399,695,611,455,733,229,773,784,080,425,068,
814,830,726,828,669,061,872,243,444,241,837,503,166,835,877,012,593,425,955,
412,998,671,235,604,079,351,348,459,121,056,296,599,349,322,574,086,825,016,
954,164,446,268,303,321,543,186,439,226,408,531,032,271,441,984,141,908,108,
590,607,364,831,012,608,731,353,570,580,747,385,781,265,526,275,909,980,951,
218,084,148,862,416,755,927,665,269,830,007,274,090,234,699,413,778,165,242,
869,744,397,809,503,302,404,922,864,650,209,051,242,622,401,898,574,203,398,
625,663,102,966,058,990,013,635,025,807,308,156,342,838,055,069,902,172,689,
041,870,814,467,103,854,616,667,063,184,835,730,466,987,949,332,031,684,767,
859,817,988,937,949,283,952,101,261,497,096,064,562,386,584,972,895,421,902,
288,058,273,293,175,925,369,047,988,691,015,026,207,339,741,046,833,034,707,
124,236,871,262,059,628,521,982,060,155,221,655,075,023,109,380,234,812,279,
416,700,854,847,128,798,081,811,559,803,641,971,979,842,751,158,730,017,035,
432,471,498,252,286,657,495,116,035,411,868,163,554,252,751,462,635,248,274,
570,877,157,155,984,006,366,996,923,516,106,928,798,056,671,336,406,748,984,
335,075,998,052,005,742,604,268,390,909,880,498,975,338,294,639,526,574,506,
820,750,089,907,132,006,780,029,813,851,933,389,833,700,888,606,305,871,367,
126,648,314,345,330,392,797,666,495,960,875,261,878,395,242,611,253,488,800,
888,254,032,991,810,818,479,484,002,952,607,792,642,420,760,317,040,225,412,
812,988,375,759,493,389,497,860,030,337,418,947,672,460,647,980,933,479,403,
873,749,146,241,660,055,880,275,882,345,883,200,701,358,684,166,991,609,269,
507,715,101,070,498,047,211,378,556,821,632,772,781,343,341,449,947,063,553,
880,055,217,311,670,964,178,947,334,538,531,390,776,318,058,792,381,495,919,
609,974,322,105,392,636,542,045,986,327,799,724,520,137,151,280,930,678,970,
945,422,848,904,737,341,773,798,824,725,713,441,749,570,785,442,835,600,668,
253,325,211,992,463,091,037,448,386,984,781,006,493,615,395,882,210,866,481,
395,820,838,934,628,122,971,732,120,507,481,934,228,478,686,658,101,931,183,
830,575,680,176,646,732,066,118,370,976,906,999,881,585,764,875,110,519,686,
644,260,390,949,394,481,608,728,166,243,061,075,085,898,219,560,040,411,307,
963,523,076,430,656,892,907,831,117,815,272,184,512,602,963,606,860,202,391,
999,984,717,897,087,964,690,012,720,698,137,640,181,502,910,056,528,711,016,
930,408,434,154,216,077,132,554,736,402,281,544,416,356,094,111,428,637,087,
985,949,287,559,705,162,042,445,420,080,068,181,263,557,076,319,714,711,746,
649,372,163,095,310,397,424,998,834,607,443,378,591,497,145,608,475,238,620,
513,893,899,429,392,564,342,017,564,646,140,572,657,610,958,788,883,456,089,
678,643,172,631,224,620,376,199,661,941,336,463,590,954,940,682,204,371,842,
673,518,981,715,473,322,977,391,502,096,636,987,437,754,733,026,822,694,116,
837,292,675,725,724,139,909,576,923,432,982,036,723,743,742,676,279,824,216,
402,451,222,930,290,881,640,212,518,655,001,595,514,081,463,870,565,922,406,
537,140,336,546,979,957,366,069,419,282,944,436,825,623,409,006,361,343,735,
687,410,718,159,773,873,952,894,630,600,717,688,410,905,410,214,880,346,649,
550,351,451,356,070,403,822,956,039,000,183,026,325,026,181,026,581,225,987,
157,105,525,459,714,409,043,716,569,434,520,129,670,526,718,124,185,949,190,
510,746,467,875,742,826,102,528,458,488,543,408,011,661,395,190,906,366,451,
229,711,781,837,862,478,904,467,173,639,156,832,278,841,327,315,156,327,530,
327,644,221,896,825,407,509,333,625,744,531,119,430,579,310,121,494,592,999,
888,029,017,068,936,660,076,808,341,963,445,361,237,778,141,392,219,269,884,
784,674,086,164,406,322,708,192,961,058,999,517,158,024,628,802,988,791,980,
135,198,600,783,938,884,735,803,329,516,633,989,275,995,045,352,763,170,255,
536,066,110,099,509,424,497,934,263,426,149,738,111,121,559,011,725,049,586,
188,433,745,011,821,327,686,568,157,545,473,283,305,066,899,612,156,257,866,
936,741,746,618,421,893,990,043,109,878,076,351,748,635,851,075,173,746,959,
156,189,080,844,118,054,699,615,411,374,190,873,737,879,544,419,335,102,274,
090,936,293,742,794,301,373,027,711,361,107,657,168,391,314,140,693,744,529,
544,372,523,725,041,033,513,090,710,512,066,566,570,963,415,587,538,444,363,
180,795,070,157,045,146,602,081,217,721,127,740,815,960,936,435,908,451,154,
586,631,848,555,681,436,282,085,563,248,928,200,084,193,544,385,862,306,632,
208,681,166,352,603,376,490,230,375,662,508,280,664,759,242,144,371,589,192,
754,426,700,387,074,347,367,329,708,073,612,795,710,169,725,096,076,649,983,
595,443,276,985,709,899,239,110,650,714,285,788,865,596,982,378,110,665,277,
035,597,914,364,836,581,948,141,730,631,250,512,088,204,307,519,178,096,553,
434,550,040,368,899,253,178,229,404,415,768,368,410,805,631,278,037,671,184,
011,931,725,636,533,864,365,745,515,059,390,983,103,826,647,225,122,827,661,
877,248,889,336,014,326,779,269,998,375,734,247,778,846,207,544,275,989,362,
943,934,625,012,285,684,747,987,498,543,867,720,184,245,125,289,241,547,736,
617,238,262,289,200,190,930,773,781,479,744,991,885,778,189,563,069,601,233,
351,670,233,273,191,464,451,981,895,464,086,554,406,266,427,715,591,559,204,
733,190,352,575,741,542,236,989,549,842,846,225,976,815,331,302,002,151,278,
900,956,840,566,826,856,459,163,484,330,438,828,255,486,481,011,810,724,306,
260,186,856,691,236,731,801,414,355,624,751,133,883,136,781,679,328,917,610,
366,764,712,441,286,293,745,617,352,778,853,658,618,229,698,086,302,388,325,
514,606,609,582,470,884,365,890,741,571,667,412,962,468,466,659,234,674,357,
621,627,107,994,313,316,791,938,041,720,385,241,675,360,994,117,256,528,244,
927,199,445,166,062,317,071,980,022,762,252,887,554,914,753,618,440,817,995,
376,432,281,388,861,000,302,455,298,895,406,836,183,090,207,819,153,408,658,
675,462,242,450,425,795,585,972,720,815,784,100,481,427,279,618,726,234,100,
969,741,742,113,464,106,043,246,769,595,896,538,483,902,489,450,627,594,354,
050,540,036,760,267,108,059,224,637,885,166,672,318,239,611,328,545,679,462,
830,373,663,703,059,116,404,852,041,565,156,616,016,634,094,608,829,643,213,
423,598,651,095,522,015,151,124,835,262,062,328,764,823,238,070,161,611,039,
856,212,811,907,917,660,952,316,815,188,644,840,683,614,718,214,331,180,240,
472,194,963,261,477,012,910,238,741,908,565,616,485,534,232,712,786,893,887,
218,354,364,390,958,909,027,929,589,858,375,713,681,459,914,003,031,128,270,
154,738,674,929,118,890,890,576,560,970,246,461,996,234,514,823,162,699,770,
355,314,444,426,769,084,108,835,866,540,199,125,447,924,241,041,823,754,646,
702,695,586,922,565,751,721,591,677,864,424,719,480,200,478,559,138,626,959,
807,140,800,028,778,060,088,611,396,557,467,828,877,741,543,759,257,545,641,
891,405,806,387,792,021,938,002,939,857,455,911,222,292,329,509,431,885,176,
871,631,898,439,177,438,757,684,736,057,345,308,105,552,732,729,302,112,293,
268,184,535,621,984,594,270,666,921,382,051,120,732,744,856,860,406,109,652,
395,141,944,267,684,954,422,495,666,896,436,644,824,299,097,451,573,771,440,
769,473,756,369,142,616,050,292,271,938,259,567,951,451,639,253,127,583,875,
786,589,543,662,586,646,836,870,196,062,394,710,300,749,704,270,684,830,131,
180,259,318,404,215,490,532,934,370,159,216,107,805,996,300,624,709,273,209,
843,117,325,399,072,271,327,279,256,116,405,791,129,713,942,157,921,240,274,
574,805,186,653,935,621,971,379,787,411,459,964,627,189,543,295,210,236,712,
664,765,824,329,487,098,927,514,141,453,035,693,104,696,131,603,034,837,410,
370,893,986,365,019,371,972,552,460,133,406,358,191,675,081,610,924,004,245,
610,096,143,814,850,640,836,223,900,300,403,591,588,351,114,241,806,208,989,
459,369,621,605,073,046,832,971,185,467,333,898,963,530,339,240,460,915,807,
202,719,813,973,038,809,538,009,083,377,302,957,905,122,034,803,294,855,444,
246,832,727,024,541,840,739,601,574,960,405,509,841,569,688,563,488,503,478,
832,975,916,011,187,941,826,725,799,297,237,344,081,927,392,202,482,900,387,
946,479,294,965,608,782,284,446,849,522,985,928,406,292,643,674,263,886,699,
886,379,280,032,611,351,956,962,490,460,992,000,207,077,715,417,318,126,416,
346,084,573,103,637,412,508,839,241,839,719,900,160,739,824,729,067,122,741,
301,665,888,094,097,044,482,307,278,911,915,013,480,827,421,663,771,636,263,
995,572,939,660,150,272,374,827,060,172,546,217,707,311,329,256,578,534,237,
119,873,601,818,073,162,134,755,703,143,868,735,775,131,431,000,556,536,991,
242,031,087,269,410,448,634,271,246,275,864,956,388,603,008,520,334,108,447,
775,715,534,587,994,344,784,586,871,681,001,502,512,701,031,858,264,494,866,
674,318,455,723,010,514,443,578,283,360,049,365,191,748,966,345,879,724,982,
420,271,691,434,114,987,724,062,180,185,718,093,925,737,157,802,618,555,432,
343,204,749,875,080,631,171,010,399,409,780,243,718,889,679,020,114,619,459,
451,465,403,005,396,676,000,105,728,683,688,049,950,645,751,268,966,093,097,
173,026,449,966,678,653,443,815,767,849,812,192,241,987,556,965,617,527,299,
610,290,772,115,770,060,195,402,672,155,800,088,362,263,744,131,682,483,067,
649,097,986,666,910,678,464,545,382,627,391,777,734,799,446,336,368,552,289,
157,850,398,615,903,679,128,848,862,688,065,137,189,188,573,934,588,218,319,
554,247,839,244,188,368,665,662,332,597,872,488,949,163,937,519,152,481,040,
314,637,309,393,074,091,965,134,887,361,888,068,174,322,973,480,394,444,394,
107,324,757,290,710,132,299,341,648,270,024,947,565,058,203,421,137,984,361,
492,297,037,668,481,683,710,001,645,460,078,893,075,874,975,224,515,243,990,
422,493,971,055,897,497,832,381,380,388,431,260,773,483,404,520,119,889,322,
375,941,826,157,562,601,733,316,121,446,121,120,544,330,584,482,564,423,105,
071,032,766,773,209,889,762,773,904,099,237,399,457,999,968,943,026,502,616,
356,731,299,194,525,365,536,752,858,416,128,065,467,443,270,192,536,290,007,
851,644,795,529,072,121,073,819,246,113,530,619,175,222,936,974,609,087,592,
632,148,140,041,154,374,384,468,391,777,721,215,463,909,808,931,875,959,936,
524,050,903,801,182,896,784,218,696,213,254,730,552,850,936,107,750,607,626,
717,245,161,460,372,200,199,930,029,786,909,651,172,978,257,052,388,966,008,
952,165,816,110,460,401,675,129,644,522,731,552,870,745,685,554,224,824,643,
391,397,696,420,254,092,779,542,448,027,238,551,756,403,971,585,218,806,384,
312,645,534,488,229,701,298,472,425,481,076,383,901,451,839,676,819,102,369,
603,365,430,176,053,473,555,577,419,645,542,664,615,054,231,109,365,356,274,
057,664,453,240,411,113,318,034,912,280,024,998,534,784,878,530,970,818,271,
237,867,053,587,578,455,141,261,155,600,135,259,824,710,570,319,099,396,642,
927,319,613,053,807,902,737,517,257,749,336,960,639,078,757,649,895,968,251,
861,684,053,500,477,195,489,417,376,436,092,409,835,128,502,552,745,040,004,
201,589,670,296,426,601,245,207,330,809,493,458,046,514,650,348,451,174,628,
888,340,779,405,267,811,711,066,067,997,313,505,166,060,079,981,555,044,478,
928,011,650,952,045,413,984,425,768,807,358,897,922,436,093,614,548,968,555,
751,423,117,071,854,776,306,656,268,682,989,168,413,974,397,132,674,187,475,
303,891,897,823,221,656,208,516,338,333,705,630,328,961,012,173,610,775,315,
222,652,128,965,595,239,357,481,758,284,144,003,085,558,827,505,952,978,953,
187,949,859,261,411,279,758,149,362,282,475,784,420,875,563,775,184,492,662,
765,398,180,094,527,018,956,916,176,963,056,871,353,854,660,762,209,156,044,
522,823,419,812,184,717,129,165,706,581,132,253,001,303,660,321,461,534,656,
956,410,889,629,180,660,600,621,064,061,460,187,655,207,256,553,883,160,724,
542,803,485,415,771,434,991,597,587,560,818,531,349,736,125,783,896,994,973,
731,455,157,996,953,028,058,310,851,844,996,159,265,120,320,330,061,695,955,
509,921,565,169,715,428,622,692,882,703,526,670,428,742,194,655,208,454,037,
433,737,733,358,433,672,454,145,531,789,617,706,340,962,735,122,550,586,600,
092,780,899,843,692,053,469,814,703,800,536,415,736,496,462,701,746,079,212,
346,918,043,473,941,712,615,221,169,406,720,189,824,159,869,481,019,267,624,
153,158,588,771,293,175,295,322,486,261,971,767,566,962,783,407,030,023,791,
909,498,586,405,274,570,531,391,187,012,083,231,113,830,152,775,208,195,519,
998,074,514,912,546,782,071,761,217,291,208,910,363,010,305,335,933,150,468,
632,473,133,912,530,228,045,820,982,381,197,250,653,385,662,956,499,588,315,
356,293,841,784,202,097,838,501,827,440,974,334,730,375,458,760,889,231,099,
284,486,871,682,725,284,091,727,808,922,516,181,259,506,376,440,761,000,073,
458,572,591,619,392,724,752,119,864,257,985,267,702,401,604,828,510,366,469,
547,489,749,409,882,939,846,431,893,342,767,191,239,731,496,796,930,582,732,
469,628,896,620,608,632,121,279,169,689,007,624,462,709,955,677,879,495,596,
226,132,282,776,628,261,661,746,088,159,991,350,929,882,535,803,727,716,759,
256,029,078,106,572,756,930,029,800,603,445,329,151,037,697,662,225,549,292,
606,633,868,212,355,169,286,253,931,391,508,668,015,480,758,591,023,758,874,
504,554,994,619,019,545,611,152,798,602,119,308,880,926,760,553,158,894,811,
305,720,477,839,117,171,276,374,449,681,026,887,699,699,873,464,109,813,096,
717,975,892,075,153,902,232,878,953,632,046,987,766,153,542,329,833,328,725,
626,262,578,807,620,851,254,054,395,361,346,586,489,706,842,743,898,174,743,
298,448,148,483,568,894,617,659,166,378,123,868,365,214,400,588,199,776,653,
940,790,516,891,488,404,697,126,832,694,694,769,921,151,458,708,914,535,742,
613,773,396,166,110,799,218,235,859,740,012,139,103,500,127,129,507,603,870,
205,951,677,365,548,920,879,085,214,942,424,106,087,195,491,606,984,309,600,
458,983,226,771,007,352,118,311,712,468,434,043,066,632,312,525,087,470,710,
511,090,655,199,060,821,219,953,881,082,273,243,556,696,128,928,005,118,073,
504,617,511,762,866,844,099,130,763,272,497,717,873,436,585,286,666,140,697,
594,000,943,198,300,954,318,362,942,768,429,266,261,892,404,665,511,854,721,
684,011,238,904,693,299,063,260,833,162,432,893,936,788,466,914,252,693,878,
409,644,261,983,687,238,269,001,397,891,996,520,555,686,369,597,973,058,854,
360,062,680,792,997,450,132,289,719,134,728,586,193,173,358,010,461,953,878,
308,895,083,470,225,593,574,427,023,495,314,747,852,312,780,504,437,693,574,
221,535,754,763,020,325,876,492,370,673,542,742,879,327,066,814,438,274,810,
069,452,753,490,502,369,956,433,359,939,908,062,240,429,734,283,762,276,896,
314,946,882,155,733,744,854,055,930,945,320,193,519,537,614,954,338,770,206,
110,549,002,228,617,105,261,749,079,631,772,103,319,227,009,749,104,599,530,
653,866,363,249,467,708,047,389,179,218,524,458,589,504,379,246,003,074,641,
299,441,372,414,412,650,786,175,753,362,537,046,838,209,299,954,769,176,340,
061,102,026,696,951,813,813,710,661,975,319,494,806,296,333,614,321,975,594,
115,224,522,055,562,061,822,962,223,329,019,837,460,726,823,615,527,549,934,
857,206,372,712,746,455,833,635,946,520,935,256,501,210,186,874,394,164,396,
679,373,274,019,055,355,529,011,090,341,411,135,190,381,723,893,167,456,886,
231,896,229,432,806,815,753,419,646,718,462,719,650,203,122,875,604,124,469,
221,374,318,809,023,097,962,090,682,252,352,386,865,251,149,423,213,611,670,
787,069,226,287,738,390,719,766,452,413,527,169,573,441,930,660,751,942,763,
951,172,454,663,909,141,269,101,360,876,984,423,136,911,439,294,184,050,263,
683,766,923,813,234,269,040,702,009,338,863,607,927,810,326,345,881,549,136,
847,290,382,637,750,835,780,270,997,197,497,532,384,440,705,828,211,979,449,
380,908,019,151,037,417,297,156,658,955,680,557,519,804,959,495,338,105,465,
643,787,039,724,475,717,505,074,147,015,475,870,559,743,550,474,693,281,152,
158,161,739,701,986,081,169,958,201,201,759,940,805,899,971,905,819,585,669,
961,081,968,463,213,223,718,862,685,052,159,243,811,395,944,741,173,123,167,
299,204,730,999,176,391,663,896,655,075,228,342,425,255,427,474,921,253,202,
293,740,639,861,807,343,143,416,321,072,297,787,473,312,155,313,721,556,103,
610,670,666,079,440,616,524,827,533,523,923,162,801,381,033,831,434,940,776,
223,701,484,717,941,175,578,495,914,356,890,187,428,561,330,066,178,602,684,
436,113,715,681,766,786,616,101,438,067,042,210,237,330,344,127,626,940,656,
165,382,648,870,784,961,634,214,944,908,575,433,316,695,479,483,645,323,164,
569,620,478,203,683,187,799,627,564,538,368,468,028,007,176,797,119,575,465,
053,708,337,126,575,157,571,493,837,820,913,473,972,391,793,766,372,337,065,
558,394,220,968,912,283,642,105,215,761,457,824,688,857,691,094,258,538,882,
095,531,813,510,315,912,147,831,055,978,323,494,797,893,641,467,020,728,536,
108,396,311,769,368,021,546,643,094,398,657,573,631,794,906,642,739,781,263,
408,122,863,356,926,504,556,400,414,613,814,343,539,356,727,694,444,746,912,
184,841,297,331,825,755,204,959,561,649,390,465,147,460,119,416,068,622,674,
529,347,293,085,693,605,728,684,307,335,966,082,019,508,974,726,707,753,831,
068,633,827,552,303,238,015,581,760,527,754,925,122,770,115,839,646,013,374,
198,153,265,604,786,109,780,431,194,099,137,389,867,329,990,971,691,268,360,
147,794,142,479,027,402,605,169,223,199,894,597,200,101,207,366,099,592,472,
960,848,715,611,705,895,023,139,433,413,095,411,497,171,007,633,938,280,757,
070,286,636,171,271,311,139,844,671,869,035,787,348,468,320,599,487,988,367,
724,468,646,577,496,589,926,940,741,749,410,418,155,533,011,705,525,438,911,
074,375,674,953,177,762,682,310,963,050,945,568,425,552,206,192,825,062,226,
815,838,543,692,874,852,569,026,364,462,338,863,459,287,751,130,725,100,330,
819,847,415,572,999,388,977,673,153,894,331,401,770,921,835,463,861,766,126,
818,282,054,805,431,947,263,277,705,449,842,048,811,211,830,037,881,430,183,
669,716,321,514,652,196,833,866,159,548,292,556,249,334,970,791,018,232,528,
927,404,621,123,674,777,554,555,983,073,693,700,472,495,369,635,781,418,755,
783,889,231,576,474,828,652,725,185,405,842,621,466,458,719,071,962,663,596,
378,806,546,732,003,259,534,341,324,676,774,704,759,472,751,945,757,768,968,
663,133,343,356,921,610,178,819,955,025,038,820,547,303,551,216,581,786,015,
226,189,102,040,238,387,411,363,283,940,475,635,153,979,935,463,101,316,093,
908,005,480,913,388,823,763,596,681,133,412,807,174,592,471,647,139,965,182,
107,398,562,715,932,620,144,851,336,510,237,656,173,354,811,620,228,462,305,
492,053,550,086,488,815,292,965,633,837,936,600,580,485,583,062,308,274,188,
587,947,858,990,778,427,403,989,256,796,171,651,800,885,750,295,447,473,821,
096,515,971,116,671,541,536,009,564,437,869,526,617,079,411,740,451,923,627,
680,133,620,751,518,376,986,997,710,449,119,666,229,754,793,336,478,128,565,
936,782,818,655,578,485,831,161,947,275,981,196,446,018,335,827,704,585,915,
563,632,249,385,850,535,447,970,029,925,383,505,728,103,690,342,175,471,282,
454,810,467,312,527,753,443,147,822,184,116,625,027,898,576,048,971,226,107,
223,212,842,665,135,460,947,852,339,058,455,746,808,217,928,570,949,067,921,
328,502,346,607,165,977,573,626,301,604,145,480,566,754,463,693,913,267,253,
526,664,072,993,499,786,408,110,053,413,141,837,753,337,358,638,732,926,913,
347,590,701,016,685,020,048,705,681,807,565,592,945,517,782,420,540,443,886,
740,215,475,863,681,187,657,729,047,178,250,155,650,311,138,612,851,064,305,
039,407,177,973,522,771,172,956,609,457,801,123,230,912,844,465,684,085,141,
513,030,290,556,484,940,594,958,206,456,890,524,625,667,194,012,512,437,471,
064,842,677,504,849,253,083,916,604,709,818,402,942,270,181,834,802,737,849,
052,384,515,445,177,570,674,222,938,618,205,770,803,359,482,829,136,603,545,
865,882,130,079,426,004,061,084,294,823,725,388,273,385,280,798,221,830,475,
938,467,156,614,255,126,923,382,270,362,120,665,402,963,223,396,781,782,006,
325,622,969,184,583,654,876,446,710,947,810,815,639,084,575,893,550,193,851,
857,885,385,236,509,796,843,561,413,127,268,558,703,707,991,775,618,494,025,
566,802,965,798,445,738,872,014,829,986,592,621,617,644,739,085,139,176,631,
783,801,009,113,390,206,255,113,683,961,145,214,675,879,094,243,883,131,896,
709,089,809,934,458,818,709,987,585,192,444,476,674,567,346,670,851,844,124,
455,693,627,170,484,703,997,091,302,850,195,220,740,329,074,822,590,706,383,
526,207,206,701,514,702,446,241,725,696,052,467,214,610,771,872,452,290,256,
253,373,685,505,517,033,233,518,874,873,035,490,587,753,009,843,791,049,859,
560,910,096,099,656,171,593,365,200,263,796,288,026,234,781,488,348,989,110,
646,123,790,717,243,413,234,839,737,753,622,542,708,920,744,085,405,522,639,
545,247,166,390,117,875,231,627,076,696,016,409,774,958,280,564,163,756,936,
120,535,414,561,556,265,940,725,857,351,909,454,006,583,962,047,386,055,814,
348,838,440,698,859,233,936,157,095,045,415,211,351,345,428,423,055,026,506,
943,776,877,232,648,004,036,267,654,920,077,213,286,799,394,820,030,405,416,
737,408,406,002,329,555,894,132,151,765,915,701,529,695,318,407,983,958,505,
275,208,759,709,910,453,410,237,926,583,697,049,129,103,557,142,738,094,228,
603,505,856,556,858,723,361,178,238,229,945,819,157,436,419,720,670,799,358,
079,264,768,619,396,082,332,152,140,820,747,565,510,083,447,743,902,701,423,
512,875,952,378,913,299,669,978,961,331,814,659,738,111,622,698,197,638,674,
581,175,842,570,469,446,200,996,042,611,513,370,654,174,999,177,645,690,508,
428,610,981,350,416,112,345,635,773,910,064,948,041,130,083,010,446,452,576,
850,309,413,167,745,762,911,472,731,926,298,132,387,401,359,918,430,560,712,
867,225,014,912,337,915,404,481,716,797,353,793,158,600,895,631,889,625,028,
338,363,440,534,963,572,019,192,037,509,245,667,802,948,017,411,636,845,582,
500,698,951,452,853,385,716,858,414,347,982,380,015,565,368,375,668,874,042,
698,998,818,282,676,823,069,346,637,919,881,090,275,020,597,306,217,818,387,
459,467,193,301,904,453,117,082,844,705,860,910,217,279,082,285,739,258,124,
366,981,581,925,515,467,711,907,849,970,448,930,238,580,851,087,443,296,132,
587,599,641,833,069,878,428,592,049,381,223,912,783,106,006,526,249,191,377,
026,296,114,363,275,372,849,150,625,594,060,562,515,258,773,068,285,210,045,
343,464,593,763,549,056,191,388,666,011,305,307,186,491,384,113,709,147,895,
420,965,244,135,197,398,715,354,616,391,038,289,437,685,014,237,059,823,384,
220,202,445,736,538,453,150,333,636,773,076,246,663,594,715,784,046,584,445,
966,159,799,174,502,615,581,518,942,955,082,981,894,672,213,923,920,018,770,
103,347,250,093,597,506,057,312,840,801,002,544,759,691,437,241,624,027,224,
786,568,338,945,988,973,517,291,201,163,949,789,802,587,809,751,639,050,236,
321,594,332,748,070,667,816,176,639,093,176,083,954,627,092,979,136,908,294,
326,711,602,550,806,322,655,628,207,842,746,375,259,865,619,085,809,457,636,
460,735,961,866,825,024,644,004,403,292,002,134,041,939,707,606,829,038,844,
564,175,051,048,763,118,155,073,432,797,284,032,226,973,275,846,952,045,182,
657,159,391,733,976,624,126,306,244,063,157,917,820,878,164,083,832,321,592,
304,582,597,680,686,765,514,024,599,712,911,637,139,958,378,628,489,883,699,
316,111,802,545,409,797,765,099,233,379,178,569,259,362,736,241,789,822,376,
042,895,539,409,209,463,213,610,827,680,828,633,306,521,107,854,510,841,482,
340,303,753,673,832,043,446,371,226,014,145,875,435,929,250,728,752,111,491,
492,811,562,789,292,262,793,462,348,949,141,537,714,028,130,351,307,919,125,
343,459,282,000,878,979,998,699,365,424,506,491,786,749,670,362,152,946,590,
366,999,639,153,074,490,687,446,125,511,373,346,219,880,683,339,655,287,842,
842,184,283,460,997,124,964,526,394,118,398,470,003,049,809,221,490,091,621,
884,212,656,932,249,352,702,831,799,053,283,979,298,235,762,904,199,701,592,
495,215,253,705,866,894,326,612,807,911,396,221,971,085,706,758,573,588,383,
375,790,900,892,664,013,653,869,732,098,076,182,579,825,005,486,888,696,160,
269,319,315,756,164,086,341,095,030,686,806,799,543,278,239,657,911,038,408,
113,071,500,019,896,988,259,741,585,252,437,458,297,440,890,845,540,231,649,
812,740,976,070,953,919,053,601,778,041,372,010,370,708,156,397,427,986,171,
778,582,819,432,013,738,610,426,983,462,335,291,081,820,767,878,459,830,599,
300,232,772,645,696,840,527,930,938,845,112,909,821,922,995,532,487,353,326,
865,585,425,751,820,032,545,561,718,832,969,126,367,944,818,703,474,924,992,
820,592,240,634,467,614,280,579,827,483,546,211,447,139,704,090,825,363,037,
928,176,839,998,020,822,996,141,208,595,780,757,320,431,058,851,970,432,446,
292,357,341,613,091,787,522,779,002,265,761,075,660,548,474,268,348,865,461,
730,768,892,427,715,195,213,844,645,243,840,036,278,264,938,837,059,635,702,
864,839,281,571,328,667,144,310,890,582,444,323,280,812,638,995,258,844,591,
364,338,138,134,111,792,965,006,001,867,533,943,173,840,152,604,378,701,546,
649,984,374,721,138,590,072,588,390,193,614,240,698,286,847,421,289,077,481,
422,880,788,297,979,806,352,161,509,432,601,239,690,111,398,911,970,785,619,
378,910,058,544,299,989,315,380,939,975,237,396,678,716,730,201,274,159,557,
863,194,323,001,617,640,770,053,545,727,992,842,393,577,918,733,991,418,398,
591,808,206,011,979,668,993,745,630,558,376,753,135,138,911,467,979,673,780,
528,172,145,045,087,796,152,364,504,744,888,962,762,052,378,284,922,551,350,
883,820,702,850,356,430,638,907,809,513,445,545,762,585,529,721,548,285,283,
964,799,720,389,922,897,471,768,572,302,855,625,465,288,105,967,318,025,943,
201,342,134,800,723,471,551,903,214,686,548,246,010,303,260,445,038,452,483,
744,388,585,510,155,466,360,030,959,685,409,205,648,032,899,210,612,716,488,
864,551,777,171,366,775,600,600,056,144,725,512,254,446,534,310,266,615,863,
527,147,029,520,498,447,065,700,470,397,686,961,666,799,620,446,523,249,944,
274,100,077,337,036,392,356,676,185,931,244,838,958,725,579,191,762,004,149,
411,715,745,553,130,617,226,008,561,584,186,449,413,412,603,924,275,427,801,
957,073,162,538,937,703,665,464,583,470,338,017,850,238,213,383,948,791,030,
773,931,066,652,915,515,221,210,707,886,254,205,516,934,021,712,344,301,420,
379,767,830,390,257,757,810,070,120,233,146,462,372,050,846,179,305,500,203,
438,345,731,856,501,752,588,915,915,230,624,089,093,062,442,009,577,545,801,
287,396,004,503,694,078,552,695,240,962,768,672,009,969,531,236,741,742,092,
959,525,611,739,618,985,178,173,151,743,009,065,425,262,582,953,969,710,599,
815,821,401,768,364,998,548,967,768,536,743,382,850,755,243,456,704,786,107,
194,798,471,993,555,584,646,615,946,915,797,659,588,248,558,603,494,769,380,
639,356,636,274,949,329,263,527,441,867,718,054,180,671,982,667,461,039,132,
373,341,854,041,541,903,752,945,193,805,329,739,386,096,962,484,096,688,847,
027,082,726,686,695,042,648,712,284,284,852,131,384,345,204,637,039,842,367,
610,707,822,544,732,027,821,871,706,251,161,155,657,200,727,245,582,661,948,
172,586,771,909,190,731,590,636,538,774,129,578,394,094,154,079,704,224,984,
082,968,396,439,128,939,787,930,978,461,491,048,096,713,646,459,368,416,293,
378,011,751,593,913,909,506,749,692,900,761,345,798,985,819,090,874,418,173,
671,204,674,222,141,295,354,248,985,077,315,173,148,622,996,688,322,898,648,
193,578,370,628,748,957,904,858,178,763,911,255,293,470,778,560,505,764,127,
273,550,929,023,157,969,517,835,875,811,957,622,898,194,244,870,247,769,950,
993,194,936,688,107,248,054,233,218,871,104,032,374,002,756,877,956,937,227,
303,894,914,780,720,022,369,180,218,485,814,458,301,500,296,537,981,736,060,
892,911,309,167,714,565,169,054,439,142,551,782,140,004,931,320,872,559,367,
325,793,619,399,175,890,623,223,170,911,229,612,699,626,963,294,436,849,823,
291,808,696,678,555,188,721,886,365,641,427,172,965,174,069,856,495,085,345,
197,095,320,782,469,607,205,588,812,089,715,772,433,851,910,232,038,003,677,
743,413,216,020,780,295,125,222,238,491,107,898,747,807,878,498,912,924,093,
832,393,944,006,853,309,075,067,421,009,824,762,911,467,687,434,336,875,794,
545,339,686,511,445,425,436,077,790,101,660,360,873,726,607,392,861,368,314,
187,453,465,251,472,329,621,535,895,729,646,751,154,734,369,128,916,190,579,
327,170,307,088,306,208,081,283,252,535,907,247,796,067,494,374,693,067,602,
456,856,480,791,280,218,684,076,401,975,299,227,680,812,911,755,214,502,834,
066,456,963,161,641,853,799,117,220,431,403,555,283,863,303,038,657,913,195,
000,928,623,322,880,860,004,748,735,866,412,522,441,215,605,543,150,540,820,
814,329,144,377,144,053,392,871,666,875,843,337,159,496,829,802,468,545,273,
741,920,833,004,086,393,561,033,345,799,358,057,695,698,380,074,257,024,002,
474,347,734,856,873,025,731,508,886,328,425,339,242,788,912,678,206,365,996,
650,131,496,865,050,077,868,234,036,483,677,308,638,834,409,177,833,843,883,
714,324,605,919,540,343,437,514,953,222,742,163,170,282,783,700,811,281,213,
752,544,089,329,759,487,219,100,532,531,923,540,418,178,562,688,754,155,126,
600,128,215,197,853,795,535,207,437,316,738,706,834,408,769,646,175,920,948,
969,298,183,967,483,818,603,539,997,347,115,907,778,354,139,635,580,533,347,
300,639,947,297,136,413,776,318,116,742,499,815,516,362,727,616,402,402,087,
652,886,875,831,371,256,731,313,670,437,571,909,518,068,109,632,536,103,376,
571,605,499,262,924,015,348,902,812,418,192,605,690,492,063,969,983,654,727,
805,427,682,778,157,857,513,056,496,780,718,212,597,405,858,285,570,626,929,
383,395,589,028,439,608,749,876,550,574,713,143,034,437,876,440,993,402,905,
569,484,094,342,637,460,861,310,341,018,489,709,652,083,252,283,496,708,097,
279,589,607,390,401,872,324,672,149,288,644,200,664,828,282,626,751,687,954,
978,432,850,048,629,114,595,157,028,840,631,421,447,672,141,640,228,764,729,
517,691,660,520,723,514,451,638,168,694,494,936,444,093,308,018,196,780,760,
961,573,789,817,588,054,825,227,065,637,770,334,083,005,256,536,990,053,779,
833,917,196,751,866,817,368,123,516,738,100,698,814,777,984,721,822,820,264,
661,550,100,543,169,312,812,254,671,255,610,458,089,364,248,898,393,074,062,
566,654,014,515,975,348,970,664,370,597,944,160,569,066,409,825,782,718,260,
415,138,945,772,813,659,233,693,362,978,999,651,403,155,916,778,827,118,106,
304,733,955,050,938,768,963,355,540,447,400,391,742,569,292,380,175,432,859,
038,160,647,253,098,038,551,450,461,911,950,088,080,800,089,272,872,542,690,
948,777,611,571,791,025,278,740,824,261,240,937,668,320,049,931,753,918,534,
606,324,371,505,760,380,906,995,211,795,850,838,543,586,444,998,372,014,950,
554,629,529,767,174,725,867,346,238,243,967,626,260,858,807,410,048,937,827,
586,748,786,881,715,117,647,093,439,310,683,881,409,708,783,126,608,578,814,
167,233,912,889,073,914,299,117,041,377,887,739,264,850,824,754,289,418,693,
489,807,628,775,498,153,282,819,436,109,673,996,466,092,770,742,357,442,084,
002,796,319,298,135,791,739,384,618,649,922,787,255,208,912,320,471,166,867,
554,903,394,352,550,366,136,178,674,507,803,509,893,576,042,090,956,458,205,
294,875,794,608,560,640,658,653,750,580,525,653,820,557,766,945,778,496,996,
229,271,740,364,795,801,252,652,367,343,521,707,350,939,466,960,996,501,013,
454,918,830,599,433,607,310,911,339,761,016,575,551,994,752,437,830,060,771,
689,835,715,283,073,943,643,593,496,143,433,593,260,901,066,462,877,160,380,
740,768,487,730,666,665,990,543,222,058,508,972,285,903,484,398,241,821,975,
460,493,241,749,130,667,492,690,453,304,111,935,015,371,208,126,977,651,432,
758,617,072,699,950,952,750,480,959,748,951,503,067,714,147,528,355,085,299,
133,215,934,858,158,304,819,439,288,969,305,193,558,564,292,061,672,627,793,
434,102,187,932,373,791,537,562,526,707,899,122,009,178,001,940,089,531,752,
625,705,463,448,829,847,745,604,773,647,310,392,550,328,101,116,945,955,978,
780,582,518,382,073,889,162,272,326,630,482,282,565,919,062,157,047,438,347,
583,500,429,435,646,002,560,882,159,229,571,844,690,931,773,656,448,738,913,
590,220,711,931,172,300,547,582,627,452,837,013,970,677,267,519,335,124,456,
127,065,825,145,601,150,911,868,613,956,852,073,164,665,853,092,304,558,053,
543,748,600,420,231,635,492,616,182,028,248,452,927,645,512,074,312,811,276,
290,729,676,397,799,434,265,637,400,599,434,280,533,192,141,901,378,170,775,
821,331,229,979,707,540,509,155,298,636,234,022,292,410,584,707,381,490,112,
139,226,940,867,088,626,136,523,038,500,493,438,633,769,856,090,498,902,359,
262,657,351,919,058,457,878,915,626,605,712,873,270,048,615,859,741,598,203,
272,062,296,133,574,445,792,527,894,051,601,474,172,518,241,514,730,777,117,
978,747,333,611,351,585,990,510,841,081,778,853,591,520,876,940,400,902,182,
525,510,649,463,805,257,072,031,736,905,360,762,312,462,008,148,415,781,000,
047,926,430,353,278,726,886,896,425,854,193,080,472,460,302,407,698,366,500,
532,123,304,100,517,118,874,210,608,325,394,392,771,030,320,845,411,785,815,
137,862,965,573,655,510,572,140,817,027,720,413,476,941,953,258,871,912,506,
704,880,436,981,364,805,031,011,890,397,638,408,459,861,253,326,617,591,691,
532,841,202,638,897,918,233,672,248,629,855,840,826,937,835,375,495,785,774,
972,908,963,102,113,636,152,078,640,445,733,518,599,233,375,039,558,529,728,
612,036,462,693,643,598,475,713,004,227,922,340,242,636,649,386,606,251,950,
136,885,257,986,545,904,042,400,896,818,824,592,765,572,396,275,965,170,457,
974,879,724,147,313,449,993,915,779,493,905,577,372,260,596,826,244,702,915,
058,351,900,907,223,983,064,967,192,854,552,390,437,150,067,550,842,896,747,
079,623,360,500,823,914,702,965,909,403,445,061,632,425,270,753,919,038,264,
271,254,602,904,817,689,622,379,053,907,689,691,076,136,933,560,836,840,493,
706,292,174,312,107,983,062,284,942,705,110,847,423,518,593,928,021,731,042,
215,445,645,826,964,836,785,640,015,675,874,207,964,524,112,160,708,735,233,
442,488,850,769,197,273,347,923,028,266,442,739,271,315,297,015,824,293,782,
480,599,904,667,981,772,578,781,287,972,782,608,723,894,453,815,991,386,998,
649,742,021,205,660,551,074,135,060,512,180,437,478,732,846,591,549,255,253,
127,812,410,024,578,083,385,973,647,288,997,517,065,039,362,410,861,244,660,
788,868,984,967,469,973,428,033,011,479,925,416,778,567,672,847,527,423,445,
787,573,236,932,101,037,943,114,828,698,913,236,989,292,303,859,191,367,254,
184,453,682,045,673,931,780,643,109,763,993,706,730,072,238,003,915,705,652,
176,322,288,594,375,119,610,504,984,770,012,648,407,205,237,269,764,988,185,
332,588,529,187,182,215,489,448,106,013,898,760,872,438,615,097,984,895,605,
256,208,363,163,243,511,088,759,174,386,820,391,874,260,774,679,563,659,786,
615,216,114,982,747,001,352,213,679,970,260,077,457,067,729,068,492,582,997,
069,203,844,835,152,008,418,210,310,956,223,729,295,502,171,510,156,696,914,
581,768,983,957,631,473,663,135,999,039,450,523,556,280,418,813,244,818,582,
123,812,361,586,518,270,857,318,274,301,847,267,383,809,943,020,420,258,721,
580,693,129,038,584,844,513,242,683,669,474,753,011,340,985,818,576,209,546,
782,788,350,537,981,264,549,099,749,577,547,813,159,878,938,086,070,143,124,
545,582,767,999,603,896,508,734,068,770,987,425,976,686,858,108,854,038,515,
001,562,344,381,223,065,345,058,449,802,865,125,554,044,248,633,819,297,072,
364,756,876,899,008,598,479,294,287,053,689,076,216,824,932,804,130,214,995,
497,049,559,234,268,913,291,616,622,269,657,551,698,950,418,940,277,272,290,
217,907,039,205,304,207,019,389,982,846,977,380,428,425,185,037,055,900,757,
057,744,560,355,716,665,339,971,002,333,274,995,406,137,862,845,146,174,188,
248,480,030,924,546,554,303,869,149,185,383,639,974,775,559,877,693,225,132,
540,932,983,718,402,131,067,211,212,991,919,185,391,398,060,116,067,022,665,
860,341,006,895,981,771,482,457,193,121,192,872,315,053,420,902,273,716,841,
487,052,882,596,486,334,921,186,803,022,972,986,820,175,321,507,243,983,291,
779,376,865,531,289,303,382,341,174,407,024,711,739,372,234,173,531,398,455,
281,889,865,708,853,235,611,142,621,413,615,746,666,863,365,272,763,999,653,
830,068,085,576,064,580,417,814,253,001,685,750,376,175,609,743,640,259,238,
453,446,742,922,598,202,070,607,661,701,769,353,396,700,057,591,343,487,876,
344,328,312,095,503,116,466,945,635,794,998,530,556,869,414,733,661,290,300,
609,297,153,353,926,761,715,209,966,666,167,499,993,806,918,987,693,035,440,
182,664,144,198,596,443,891,796,667,211,312,397,045,030,817,305,256,246,821,
065,238,124,574,079,364,144,091,085,673,378,552,082,397,513,191,158,572,227,
193,846,269,068,799,836,350,107,330,149,660,841,084,964,432,350,736,349,225,
525,890,205,776,989,975,956,548,410,650,616,199,462,059,507,011,306,942,417,
818,805,937,248,069,763,771,224,824,746,736,261,923,363,162,529,739,145,123,
108,732,872,235,440,092,792,904,607,095,774,617,203,883,900,333,846,257,624,
419,335,604,732,644,409,081,153,274,558,578,191,267,960,725,900,471,952,553,
148,887,184,084,382,068,416,227,349,197,485,394,082,172,949,892,256,847,724,
843,618,885,942,435,774,101,158,444,171,560,040,737,428,748,206,287,941,309,
327,513,449,635,679,865,911,281,896,500,421,752,542,522,817,066,800,607,129,
754,390,732,124,526,307,562,280,583,600,823,796,135,128,316,918,316,912,792,
316,136,735,842,971,161,477,473,330,444,630,112,406,684,834,300,636,265,248,
444,605,183,425,942,235,198,750,966,798,424,845,728,634,185,601,765,963,186,
813,796,679,914,697,952,330,470,802,317,809,982,369,738,989,326,188,293,001,
114,837,176,805,829,069,677,126,356,484,544,505,830,935,221,207,234,661,027,
678,715,761,973,948,676,748,909,770,207,025,412,794,722,176,295,378,693,796,
720,977,668,813,959,886,230,937,241,780,992,925,775,157,898,691,655,823,331,
696,164,634,072,540,501,039,049,543,414,519,554,763,546,051,533,390,188,398,
475,886,564,164,811,776,725,759,502,710,393,394,526,988,145,261,854,580,371,
225,373,350,707,451,601,021,386,205,162,828,108,785,193,611,009,578,637,489,
353,261,111,234,252,279,038,366,763,842,463,659,242,407,335,271,455,124,224,
499,342,090,799,435,325,249,791,308,827,978,022,237,573,709,686,795,680,537,
207,132,179,111,265,215,465,839,202,071,621,517,399,567,605,010,046,514,762,
459,912,684,236,959,344,222,433,680,979,733,106,929,250,657,786,353,095,322,
963,496,097,450,688,959,096,705,769,405,828,420,944,322,437,039,820,902,131,
504,818,099,892,229,762,148,116,339,581,897,672,354,377,155,088,435,958,397,
599,311,284,745,091,412,224,833,195,207,173,745,749,022,167,834,462,789,224,
333,675,325,033,760,522,469,809,258,351,721,241,011,327,651,719,358,626,824,
525,065,992,497,744,698,471,590,711,401,273,475,123,278,638,040,996,117,798,
790,135,826,497,568,528,977,891,601,178,871,843,786,043,883,410,770,930,447,
502,393,524,610,507,608,467,140,265,845,298,247,295,154,878,492,995,766,431,
495,385,790,687,288,558,055,530,809,117,529,617,295,060,613,029,520,130,876,
747,091,666,173,697,998,683,917,452,270,105,481,791,578,117,993,554,973,586,
256,066,617,192,291,545,582,890,407,857,199,450,195,812,302,812,869,782,569,
921,565,446,671,667,095,662,481,825,786,814,006,446,014,152,895,774,791,378,
462,989,079,545,687,517,758,364,606,961,860,832,283,459,814,366,855,292,746,
022,607,514,187,309,551,921,919,420,438,801,230,098,620,858,646,792,908,523,
650,179,494,358,268,882,170,741,042,718,430,345,617,834,690,841,059,661,721,
239,165,762,706,818,315,771,385,243,921,361,839,653,782,819,007,720,724,680,
306,937,244,338,850,106,915,106,279,103,432,827,415,542,745,750,798,988,939,
911,106,760,578,980,978,353,932,215,888,675,032,112,790,893,783,538,970,656,
741,819,681,412,308,209,835,546,061,850,194,423,642,245,039,117,544,297,961,
783,464,399,858,584,826,679,303,157,381,656,225,163,551,157,868,068,128,895,
141,076,991,467,335,074,165,950,344,119,827,693,787,288,453,995,942,617,328,
078,247,029,850,152,782,417,168,049,496,684,925,270,958,990,871,749,183,717,
778,369,490,508,572,130,112,584,138,378,441,931,853,019,633,221,275,601,114,
358,081,997,161,231,348,822,858,767,591,688,646,963,010,779,492,068,193,558,
031,762,652,818,089,067,346,557,417,141,098,710,944,379,297,732,322,460,800,
894,508,735,973,689,236,871,996,913,997,547,877,181,247,788,765,726,204,053,
150,857,764,773,108,445,617,873,652,465,425,333,126,296,399,032,215,669,984,
567,970,296,586,142,548,205,270,861,907,027,318,219,652,436,908,603,094,070,
266,331,707,805,836,058,317,951,866,515,081,012,025,660,208,347,404,701,394,
670,520,171,703,423,271,990,593,576,675,394,788,108,271,908,359,543,891,298,
669,528,866,781,051,760,940,350,408,959,488,047,799,004,075,608,836,106,118,
954,235,756,630,657,612,527,246,043,998,444,301,702,135,843,945,849,952,968,
638,750,416,402,170,537,750,299,078,503,530,221,509,064,735,016,405,175,706,
561,081,880,057,032,782,620,456,260,491,947,991,299,881,612,639,393,615,804,
105,033,983,336,697,434,679,786,342,648,167,903,401,480,059,446,116,078,780,
959,314,263,910,504,755,351,838,390,499,564,859,151,770,023,199,650,171,905,
325,087,784,069,241,711,308,054,955,879,353,894,185,553,660,319,693,867,082,
804,596,179,630,756,779,755,284,498,186,885,121,492,724,175,295,447,765,841,
021,225,637,774,764,740,037,964,982,492,575,893,791,179,391,587,660,606,846,
026,363,484,177,072,437,530,750,010,698,650,306,292,495,489,092,804,474,355,
438,321,320,430,241,645,970,053,843,027,461,905,786,161,552,232,339,955,110,
086,745,391,697,964,627,617,085,002,596,631,780,045,111,341,942,966,762,360,
262,452,489,261,411,095,248,028,709,604,747,375,884,455,415,554,825,356,479,
511,936,441,729,903,847,278,895,981,330,684,353,823,839,807,117,142,654,283,
798,491,942,250,916,932,711,554,441,143,462,708,141,369,539,966,013,248,758,
692,698,663,992,044,112,268,803,173,488,203,917,335,217,224,759,596,426,760,
699,734,516,967,815,651,331,763,108,050,607,724,363,119,007,186,544,679,788,
034,901,728,175,157,092,566,339,567,816,590,363,716,391,425,660,154,472,331,
305,753,852,495,470,157,106,335,840,947,405,688,966,475,182,366,268,722,524,
990,646,729,779,609,601,857,811,685,358,170,203,403,453,567,191,835,982,044,
415,751,828,770,760,222,874,463,929,916,012,070,722,137,815,271,260,941,259,
931,510,476,835,578,934,070,461,462,834,040,509,605,099,717,191,169,008,273,
004,372,566,766,969,328,451,517,882,386,982,299,820,542,173,028,611,910,814,
568,420,262,380,696,796,937,637,628,944,051,463,665,808,602,863,637,098,613,
565,727,193,289,855,877,421,221,445,719,541,155,645,795,423,993,114,220,396,
578,908,299,591,982,867,981,068,192,411,400,877,179,421,803,040,171,153,476,
628,330,638,192,008,577,966,258,822,339,975,609,951,311,560,260,270,028,849,
140,942,249,716,306,025,733,929,133,923,325,914,654,654,696,134,440,935,918,
923,361,531,151,681,601,771,190,844,851,233,151,929,148,517,407,729,573,749,
862,194,632,572,684,570,196,119,551,404,289,385,193,489,190,516,347,402,202,
227,264,623,982,047,096,207,860,370,248,574,480,313,724,319,105,724,665,312,
148,960,559,078,839,955,367,398,398,855,941,774,849,851,709,630,185,043,860,
495,162,181,600,836,586,616,607,741,830,879,017,506,073,171,809,047,951,763,
111,588,663,571,103,916,632,990,651,027,309,650,073,589,820,763,411,647,839,
687,731,344,125,487,452,157,131,468,021,939,199,660,788,603,122,350,111,258,
114,231,735,393,644,320,498,374,646,576,522,196,646,019,014,593,585,062,782,
742,537,092,487,891,410,827,228,293,244,712,656,446,591,780,393,027,661,904,
069,450,953,018,204,719,933,874,435,893,674,081,388,942,527,033,780,313,772,
223,404,637,596,587,449,685,239,014,569,555,240,685,213,110,312,927,459,267,
597,735,048,726,387,646,310,464,604,145,295,451,429,241,965,587,097,193,504,
641,153,325,767,770,342,125,387,282,985,907,694,685,588,439,248,882,389,355,
803,927,736,089,581,944,338,081,911,421,025,210,905,384,065,814,629,370,333,
983,652,141,680,766,143,775,541,294,156,127,909,658,582,144,940,281,234,616,
502,051,173,567,558,064,403,747,432,867,100,344,693,115,326,010,720,502,316,
687,599,760,318,086,847,086,373,823,113,091,896,995,019,851,769,682,714,224,
382,225,217,392,134,733,530,542,424,853,734,923,314,739,881,937,957,083,057,
781,917,691,993,720,015,533,606,635,499,198,670,686,809,727,344,950,689,204,
837,791,324,593,137,179,506,332,239,937,107,867,426,084,160,852,915,766,449,
231,766,892,506,427,293,231,290,932,508,022,848,993,056,370,752,877,628,263,
841,303,711,191,401,093,165,701,770,849,435,346,898,925,449,594,085,114,045,
300,957,079,523,575,005,634,655,628,293,172,173,666,065,618,332,419,382,257,
832,114,409,397,746,933,839,361,742,727,823,305,686,678,307,487,298,113,790,
453,933,469,036,896,681,428,534,721,701,312,707,512,284,637,705,564,779,988,
587,061,391,829,807,739,547,324,374,305,760,136,065,734,410,966,847,162,456,
655,319,672,981,004,025,715,379,841,885,741,565,891,209,550,263,767,434,219,
221,623,717,901,390,912,086,105,217,702,299,212,515,069,843,874,120,545,625,
383,979,788,355,313,131,309,392,564,358,562,444,371,726,971,126,318,234,482,
898,227,991,443,540,092,966,274,791,997,863,085,719,042,699,864,306,114,413,
249,745,302,714,860,836,438,894,111,078,733,398,666,486,081,372,972,423,253,
324,436,553,633,755,641,326,937,539,108,239,648,614,202,030,310,806,892,697,
029,531,699,380,508,196,376,724,175,280,854,282,687,087,539,579,952,663,020,
712,165,842,939,797,976,293,881,290,305,587,940,017,149,149,547,298,871,802,
496,807,441,619,001,591,136,946,418,318,923,995,072,390,726,838,105,308,890,
190,071,900,310,039,730,452,537,866,268,177,707,240,860,537,713,315,828,685,
440,721,954,492,479,764,166,879,904,769,978,191,028,101,418,643,071,363,032,
502,252,476,238,511,479,968,258,161,784,961,099,930,267,985,383,610,906,432,
861,106,397,393,443,681,068,222,170,202,702,411,039,781,072,660,854,438,187,
763,985,913,411,571,239,467,239,642,586,118,148,361,511,848,224,827,395,419,
113,387,363,741,540,736,457,829,760,182,229,357,568,031,509,383,458,265,647,
131,696,187,953,230,404,229,652,895,653,902,279,401,657,794,189,472,470,351,
180,438,199,874,092,762,941,089,741,559,903,296,080,899,594,885,372,795,925,
364,784,827,848,126,283,601,782,705,126,523,235,365,311,985,156,573,407,379,
610,106,654,676,076,014,330,565,860,698,860,498,503,516,523,106,299,445,440,
191,001,044,062,149,310,696,262,528,659,537,613,743,948,553,074,447,589,721,
987,387,075,466,938,134,848,181,943,520,597,094,806,248,941,456,125,435,472,
863,206,535,409,883,156,710,818,607,608,768,166,270,340,553,938,093,379,741,
412,671,223,294,395,591,242,343,196,269,382,177,888,154,133,613,682,378,004,
787,565,986,279,670,628,547,628,720,912,190,274,069,671,730,427,932,661,396,
771,828,184,565,616,050,953,507,903,153,177,993,805,613,981,998,613,129,722,
848,400,191,140,122,270,006,379,197,866,955,215,089,816,731,453,591,257,140,
482,491,592,929,846,034,880,833,298,564,517,130,638,821,986,657,886,743,065,
358,247,930,803,879,938,222,259,295,248,079,151,346,897,306,658,718,001,164,
003,352,246,090,242,583,348,880,171,866,263,416,373,082,951,482,798,375,324,
669,209,842,074,929,228,079,840,267,084,792,423,712,165,090,265,308,675,917,
988,428,238,018,413,223,982,706,151,920,404,389,606,889,082,190,276,449,391,
101,390,137,463,339,469,747,702,140,026,679,174,217,988,495,042,070,813,506,
227,333,352,009,004,193,190,191,602,008,205,018,249,438,792,736,458,087,946,
960,234,910,626,281,894,727,054,393,658,959,783,178,367,966,244,507,337,946,
256,660,732,512,318,415,107,599,780,931,849,894,993,492,445,364,503,265,850,
244,224,668,763,433,993,287,525,489,286,696,379,209,784,190,517,402,179,401,
655,973,095,674,318,034,852,089,462,674,044,961,011,436,531,337,446,816,120,
716,272,571,216,488,633,914,649,665,805,202,075,781,215,593,647,908,447,146,
048,150,021,464,293,856,969,366,473,425,049,992,174,346,107,430,277,871,685,
608,346,221,011,131,175,783,853,698,853,307,221,763,093,573,511,357,443,741,
533,294,503,402,442,403,547,389,925,714,150,961,356,096,539,125,415,897,774,
013,119,663,079,064,268,376,823,954,124,492,429,506,591,835,425,147,181,366,
522,491,978,862,930,205,399,588,765,996,098,299,132,910,299,916,508,926,344,
372,107,436,454,521,300,828,712,267,881,299,567,027,206,233,608,509,943,588,
362,591,694,356,383,103,820,746,959,261,971,232,535,281,476,332,771,514,946,
479,497,644,545,535,641,770,375,808,043,072,477,368,995,690,432,255,030,223,
286,568,067,034,227,134,162,472,331,157,639,136,160,074,927,490,843,749,910,
909,453,215,256,630,844,945,473,942,865,657,713,939,662,646,928,720,031,492,
112,225,106,788,943,070,416,765,519,698,346,945,089,555,801,517,479,985,946,
901,090,059,378,696,234,582,958,584,765,497,493,913,857,960,508,674,401,571,
751,698,480,968,633,059,519,792,366,317,012,509,712,736,427,576,509,944,083,
852,600,161,781,405,339,631,125,695,683,864,113,661,026,321,979,432,162,896,
703,423,391,169,881,919,962,715,283,716,963,556,734,845,232,353,506,097,923,
810,953,841,875,986,740,382,102,493,679,518,621,734,280,937,065,486,839,789,
758,654,738,853,170,359,672,466,515,946,235,024,939,855,368,242,355,513,632,
525,885,349,845,941,777,732,910,818,005,163,304,817,068,535,777,074,751,071,
615,339,681,545,198,670,705,427,645,297,221,847,447,572,070,029,954,550,033,
467,245,055,076,940,591,663,361,039,028,395,698,096,745,396,686,102,538,052,
817,240,048,996,302,226,514,349,799,928,193,363,320,355,166,257,595,342,838,
894,793,648,213,705,321,887,142,862,791,775,705,924,514,137,297,597,878,406,
323,397,924,836,725,584,887,165,631,775,415,362,560,368,042,319,161,254,713,
766,898,334,836,528,507,319,871,503,824,066,621,370,178,535,395,734,368,197,
480,392,260,026,037,076,194,429,911,114,869,046,607,186,582,702,296,036,696,
399,194,182,441,175,631,732,092,462,101,346,628,580,310,466,198,973,262,106,
242,277,586,902,595,523,309,491,276,339,817,965,067,712,576,629,483,451,076,
183,531,632,870,276,654,228,485,650,891,690,750,611,820,563,702,434,017,047,
038,472,471,903,277,180,506,830,623,415,493,073,814,095,626,841,069,258,407,
464,089,207,964,222,202,414,268,303,625,680,423,140,906,639,378,829,863,062,
316,434,676,416,622,559,810,825,304,392,079,348,308,752,055,377,797,388,117,
886,651,687,945,652,416,260,702,155,914,062,125,228,362,993,465,817,797,803,
805,923,041,647,859,667,122,867,672,033,673,147,112,073,192,590,580,416,154,
304,026,503,241,887,377,301,050,022,255,403,118,947,715,239,780,966,218,816,
550,732,994,900,387,643,907,297,730,573,427,624,305,273,968,025,092,225,715,
505,805,411,106,196,762,899,923,563,313,484,104,671,213,453,737,629,884,943,
356,329,554,928,679,432,796,878,980,848,570,264,565,646,795,303,552,039,404,
526,861,276,221,043,164,448,333,916,738,305,781,974,416,387,434,149,903,050,
671,103,151,724,011,494,195,769,310,738,653,236,376,328,949,296,586,822,985,
057,503,020,133,709,616,165,744,641,358,153,273,189,627,339,523,409,554,481,
421,373,758,586,161,166,003,105,821,601,039,724,868,588,071,710,914,472,321,
832,049,417,988,044,152,638,880,427,846,693,765,138,270,537,869,656,821,159,
310,941,141,334,821,813,812,735,589,086,712,375,420,861,895,605,561,531,354,
969,282,391,325,838,418,382,042,100,203,361,419,405,764,433,233,712,785,312,
329,455,907,041,647,612,639,539,279,272,967,098,882,693,813,047,865,984,452,
287,221,720,948,724,899,817,031,067,398,687,049,227,801,020,077,730,433,681,
324,373,009,087,169,284,076,317,077,086,251,416,346,941,407,141,096,560,303,
261,735,499,796,642,749,059,204,932,776,662,658,476,734,219,607,377,553,190,
773,877,378,892,170,493,539,383,388,852,530,405,060,154,211,076,933,491,962,
410,823,123,963,379,326,622,175,070,753,595,003,633,156,235,336,617,747,743,
032,191,870,895,987,551,588,686,275,483,818,532,269,648,985,065,337,106,464,
564,750,770,605,374,931,304,834,607,962,654,852,196,094,097,033,331,971,904,
148,985,217,573,218,250,138,817,184,721,884,408,753,951,131,615,022,766,273,
432,649,478,155,535,688,749,423,592,281,288,246,450,220,839,669,412,316,995,
330,380,124,609,235,531,282,299,629,111,807,169,272,475,145,305,108,911,479,
849,497,136,109,424,069,303,578,562,856,019,172,868,122,478,735,838,993,810,
746,693,799,816,901,416,138,736,056,772,162,803,514,963,025,303,018,462,837,
332,462,087,133,664,810,275,384,201,813,859,163,918,852,338,427,568,758,229,
555,976,021,778,514,115,148,546,205,385,902,061,029,346,510,783,892,700,371,
317,718,279,948,477,544,173,960,109,202,060,923,846,496,275,606,376,619,347,
868,874,651,590,030,736,622,760,874,997,194,702,898,214,979,748,227,057,091,
449,245,763,671,374,334,057,106,244,713,617,163,405,913,157,004,357,642,146,
381,850,052,390,233,095,461,365,723,572,364,752,448,785,409,740,759,471,381,
749,895,891,107,091,826,721,500,935,681,176,598,623,448,214,908,468,610,788,
590,194,502,490,188,705,897,737,860,032,729,805,839,877,297,664,196,149,258,
350,996,663,142,929,015,711,183,270,311,292,481,519,530,251,611,069,123,329,
642,532,661,330,903,492,468,784,946,728,008,331,606,635,695,315,930,584,758,
140,994,532,109,171,766,705,854,777,608,886,802,611,241,002,437,163,069,499,
035,696,631,536,580,657,878,300,851,820,606,422,090,985,530,432,962,573,997,
564,273,116,434,682,371,417,798,083,216,845,551,779,245,473,853,394,968,104,
227,623,360,769,782,803,227,699,801,594,942,927,210,945,506,056,573,734,010,
568,302,598,958,705,627,045,390,522,779,938,100,778,129,941,958,500,566,808,
893,596,829,804,440,944,784,449,440,340,000,292,300,523,334,823,509,898,188,
280,992,072,540,204,075,992,476,069,319,129,508,428,864,098,365,507,466,256,
485,721,156,734,681,282,032,097,774,638,334,306,753,226,154,720,359,601,381,
715,923,389,066,595,180,966,061,536,704,794,170,574,839,994,913,701,216,982,
747,118,477,807,104,831,410,277,206,815,259,607,770,519,339,072,409,427,810,
864,906,778,570,767,072,118,572,668,010,534,786,320,223,777,980,482,243,248,
715,853,577,593,892,708,580,094,880,175,011,709,730,423,753,367,001,035,578,
426,959,896,233,205,726,769,661,744,089,122,162,479,752,327,130,417,122,611,
723,869,068,902,492,315,335,517,312,724,981,468,497,096,861,590,712,606,906,
322,434,515,176,068,459,120,090,950,117,419,767,596,631,011,470,860,437,489,
865,766,264,885,589,109,475,220,925,200,540,213,276,047,202,608,189,303,399,
904,935,943,635,743,235,760,589,980,779,019,565,677,995,680,011,977,100,791,
605,197,932,471,255,102,043,090,572,108,976,463,591,533,560,263,748,925,245,
959,086,539,646,986,865,236,341,200,504,911,251,643,654,250,186,959,689,020,
921,728,473,940,871,209,559,748,474,807,849,708,639,243,561,261,974,980,235,
401,421,306,530,559,651,023,731,600,680,357,307,551,569,784,188,071,056,340,
658,645,112,435,579,888,729,330,016,417,870,733,223,185,344,221,504,079,524,
990,755,917,219,154,412,369,085,604,784,285,934,396,965,086,601,441,178,166,
104,750,100,269,212,327,839,544,038,057,848,676,415,181,937,128,204,740,227,
609,966,431,791,276,631,403,635,154,457,301,530,312,499,617,121,328,673,494,
457,470,270,811,994,190,635,814,426,118,903,614,457,466,420,601,812,504,548,
853,999,241,332,839,426,734,200,173,890,972,425,568,293,358,017,698,271,611,
957,646,186,815,026,436,432,825,599,704,882,298,954,286,352,231,006,586,971,
556,599,248,220,655,679,685,461,782,096,496,836,021,627,749,782,645,344,385,
566,496,440,318,556,604,963,339,178,775,626,395,259,136,389,549,189,906,775,
478,137,261,592,358,919,564,854,663,848,523,747,109,142,159,904,213,585,361,
698,702,135,391,231,977,317,689,643,352,409,118,000,384,887,297,261,544,272,
823,633,818,470,740,407,044,670,885,491,401,005,731,255,315,700,804,829,887,
115,247,105,633,435,112,771,093,337,571,374,368,845,558,998,205,339,575,631,
752,048,147,026,848,596,569,470,018,408,556,984,860,241,529,091,984,139,756,
375,536,804,013,154,290,070,586,386,024,123,122,321,164,812,975,191,649,728,
606,506,807,734,081,298,685,946,048,244,504,563,079,150,699,601,406,288,316,
025,863,047,351,406,340,995,076,293,629,067,027,189,022,076,443,407,373,113,
923,201,728,976,731,598,682,677,512,570,044,245,879,893,562,081,488,272,778,
474,720,787,794,481,353,567,828,853,187,929,520,872,444,748,252,994,049,201,
201,519,928,240,322,460,687,988,044,561,896,358,636,678,458,513,257,799,192,
518,227,677,897,832,029,030,818,722,795,088,808,154,381,693,177,908,050,461,
258,560,042,588,655,350,332,596,236,626,629,981,713,183,498,297,219,434,984,
925,547,901,217,522,322,522,771,643,404,863,823,071,964,301,444,980,619,176,
256,682,691,924,041,425,729,022,792,666,080,377,116,907,673,122,112,816,047,
713,297,423,595,789,484,257,369,867,060,240,497,261,159,590,931,848,476,552,
917,207,605,361,149,752,501,914,302,096,840,401,711,089,536,167,498,233,073,
645,182,735,947,454,354,091,107,883,033,290,090,910,606,852,623,009,949,836,
273,020,079,012,807,414,894,445,966,897,679,886,464,862,072,725,709,118,899,
394,770,707,577,553,779,931,325,593,316,651,781,822,095,494,569,426,806,593,
643,444,301,877,409,481,926,439,553,847,706,406,662,362,125,119,770,606,454,
574,860,035,231,332,441,883,444,824,218,190,195,729,447,559,364,607,408,109,
307,442,561,891,294,144,566,469,584,457,389,331,813,049,000,331,806,412,699,
662,444,443,563,263,799,754,979,226,944,643,806,893,412,330,974,355,816,888,
451,234,540,244,871,470,763,123,377,806,331,467,546,278,773,008,397,055,447,
709,789,540,812,122,858,940,418,365,764,368,700,530,333,046,078,118,116,736,
606,172,893,146,141,844,734,730,017,135,968,457,565,925,454,947,671,108,469,
130,616,526,976,982,127,137,182,183,593,493,847,630,961,548,105,336,559,422,
605,210,719,023,056,208,036,966,290,151,796,296,184,408,645,632,044,679,951,
354,118,447,247,783,150,101,669,701,058,595,788,787,349,678,802,508,451,260,
968,063,177,080,001,589,816,856,005,519,533,415,762,881,895,398,255,955,811,
043,023,690,737,789,967,624,978,588,966,199,403,994,650,142,344,914,107,122,
209,819,468,932,270,112,361,868,485,887,480,307,471,678,293,676,650,454,908,
656,032,578,754,598,607,043,843,598,520,926,869,490,755,525,127,508,384,221,
056,068,631,337,459,394,139,614,943,785,017,069,214,826,084,420,498,841,800,
769,304,877,287,891,242,675,768,813,239,459,623,324,976,757,980,252,589,884,
995,475,095,293,261,175,075,954,769,501,613,757,769,525,861,773,884,810,705,
548,337,000,557,353,206,846,651,287,515,037,229,431,357,634,699,327,904,366,
651,466,471,680,104,073,330,656,085,569,675,347,663,159,536,804,616,223,912,
604,657,697,445,764,590,000,910,553,029,967,552,715,394,576,334,004,495,369,
029,082,086,040,247,668,808,563,375,118,553,177,813,233,284,869,066,878,157,
718,797,076,836,034,440,550,316,046,231,282,721,048,659,196,818,293,643,173,
918,644,430,857,414,658,434,136,331,305,568,066,139,985,571,092,063,434,825,
702,606,782,209,984,359,906,449,544,851,017,115,545,946,059,664,304,314,474,
099,697,549,338,102,188,954,759,179,110,090,145,893,815,074,286,608,312,592,
284,195,581,563,513,510,905,878,792,938,175,650,144,861,795,630,668,810,254,
589,546,197,745,716,356,468,034,747,739,507,133,650,338,026,536,905,013,764,
054,980,207,599,063,780,619,747,111,823,594,781,099,219,314,048,515,389,537,
611,572,303,645,441,915,167,271,643,887,347,653,793,400,653,246,826,446,475,
171,131,614,024,764,966,406,671,229,685,494,711,343,137,921,123,271,061,930,
757,532,527,565,281,958,977,318,350,030,558,981,938,700,764,752,019,363,492,
627,336,669,845,680,903,646,826,370,313,940,024,682,173,382,474,288,029,245,
696,074,214,099,380,810,363,883,198,294,778,167,971,896,708,785,964,894,059,
612,548,666,117,774,595,226,588,560,734,963,782,609,816,725,079,609,791,054,
882,819,047,810,593,080,012,916,836,070,456,289,969,440,697,900,220,995,687,
721,157,537,970,523,258,360,560,858,756,904,297,107,506,180,408,118,102,324,
418,169,039,877,594,629,598,529,263,723,649,655,607,292,947,375,542,980,590,
585,232,308,494,730,592,194,448,587,198,073,531,748,397,414,489,893,075,703,
297,748,830,340,710,920,591,362,039,983,724,274,010,839,151,134,789,118,017,
974,700,723,677,158,945,749,820,066,443,167,511,672,563,653,973,325,836,051,
629,413,415,404,943,161,649,945,870,170,181,485,451,125,122,490,748,735,009,
365,546,399,149,340,005,745,141,825,958,482,387,707,166,270,387,073,180,232,
597,517,684,590,611,014,761,852,748,159,880,132,395,599,790,887,208,735,448,
467,632,250,583,404,138,480,821,178,681,036,307,969,173,428,800,453,211,459,
939,177,431,623,181,378,159,161,826,196,921,851,421,134,682,247,206,832,356,
781,775,260,677,937,835,798,025,719,039,580,130,581,951,682,779,465,178,243,
117,284,529,511,075,063,105,599,393,237,252,541,527,262,388,554,052,840,524,
032,091,005,028,744,647,753,793,067,507,906,077,211,843,065,488,564,833,740,
800,706,185,853,415,927,366,396,873,705,058,739,316,103,482,652,064,988,289,
410,649,760,387,378,429,299,631,876,782,396,244,653,743,657,812,821,491,313,
355,440,369,273,267,927,369,377,263,125,470,349,094,600,629,787,371,167,332,
559,718,628,994,394,005,476,933,927,462,205,452,413,646,768,384,626,649,653,
025,482,264,159,084,504,458,973,998,789,681,024,441,612,692,274,651,947,284,
018,691,839,025,785,793,635,094,914,907,745,936,226,225,654,091,774,531,896,
658,067,350,826,342,498,970,589,566,141,159,940,924,954,806,853,943,930,494,
165,183,072,172,736,198,806,846,360,846,225,772,900,240,005,513,643,223,686,
286,977,556,697,871,213,880,121,127,164,091,813,206,204,769,171,063,715,902,
236,126,428,580,901,398,504,262,621,680,414,318,224,249,517,512,358,933,844,
092,859,655,440,974,210,840,001,203,658,757,708,305,646,175,632,587,778,551,
198,787,046,178,839,229,585,062,324,210,367,654,531,643,476,405,587,277,087,
257,894,269,436,457,270,777,917,002,675,968,119,561,227,884,367,811,760,161,
555,225,863,169,265,475,824,136,028,877,852,462,535,126,822,026,242,797,141,
770,839,176,038,781,280,654,049,240,224,318,323,097,839,063,273,346,713,005,
449,713,658,123,195,676,302,348,463,941,480,588,025,224,200,802,253,217,771,
650,733,251,490,269,423,065,558,656,697,663,350,758,867,008,968,752,231,103,
865,852,187,992,853,231,453,525,891,540,675,464,665,948,791,785,111,324,925,
429,622,963,540,404,205,635,838,535,871,051,590,257,214,325,570,603,988,686,
287,987,251,948,832,308,391,996,505,022,471,659,660,148,217,422,285,262,872,
794,094,015,172,435,680,037,283,643,741,529,222,776,020,428,908,070,456,327,
403,582,871,669,446,217,050,245,297,601,774,532,343,379,792,592,375,560,599,
795,919,498,760,478,612,978,018,770,788,240,946,754,900,099,794,498,640,243,
556,908,664,588,438,641,904,460,800,303,293,955,897,769,565,599,097,451,440,
054,897,627,451,568,972,783,070,833,763,912,345,629,663,612,094,633,645,237,
405,435,449,202,161,246,566,091,499,797,520,648,382,308,763,849,082,185,488,
944,194,482,262,324,830,945,610,956,931,304,391,546,118,346,999,910,771,602,
417,846,591,543,887,721,032,999,475,789,585,183,843,005,625,075,805,569,200,
725,732,295,508,741,602,600,883,688,486,894,491,824,214,311,401,897,462,874,
367,366,107,143,005,582,963,499,199,241,822,050,303,420,267,259,700,692,073,
582,871,042,671,605,977,826,985,811,767,552,406,694,334,223,422,336,039,274,
539,489,608,276,136,332,375,379,374,763,526,214,386,643,121,307,591,831,686,
136,673,415,611,128,582,120,640,594,811,229,252,603,478,360,533,452,604,397,
509,416,707,010,842,425,524,767,267,137,628,163,952,572,169,027,038,747,785,
144,736,994,549,650,270,084,061,901,745,945,423,866,434,803,381,144,352,862,
648,889,149,724,285,721,927,086,100,989,087,378,695,172,522,738,076,162,953,
370,759,710,002,327,402,316,238,965,088,988,352,321,954,584,090,598,148,612,
958,054,090,247,854,992,840,768,834,334,712,723,158,238,254,637,666,233,484,
937,987,106,698,288,632,518,745,994,161,879,703,214,115,160,193,964,490,976,
394,706,176,556,434,889,500,732,683,435,418,112,857,952,662,879,542,609,576,
242,521,813,488,747,547,932,147,422,835,550,423,695,897,596,256,238,873,212,
517,504,440,271,004,892,094,920,751,855,093,401,896,997,871,103,284,739,684,
096,887,978,460,866,338,223,745,699,274,278,233,509,304,422,519,704,373,936,
040,884,347,459,934,403,833,313,520,309,902,670,958,798,047,119,828,667,699,
803,600,411,326,566,996,013,035,092,936,784,010,311,040,254,490,454,129,432,
704,696,757,293,622,330,398,429,439,067,276,395,160,140,592,466,232,557,196,
238,747,151,080,568,437,207,487,592,791,242,149,874,239,437,055,651,520,402,
800,121,324,193,088,404,697,467,439,429,602,522,102,733,775,348,443,640,654,
623,332,624,157,150,339,568,171,926,764,975,624,781,237,218,779,640,855,875,
349,403,881,394,369,820,614,744,367,155,943,637,729,157,447,818,347,778,546,
358,402,815,774,004,514,088,971,664,453,702,001,653,113,153,991,103,320,875,
255,570,419,694,425,368,831,433,782,351,509,272,740,183,584,466,052,513,039,
799,176,225,641,806,008,515,966,687,258,035,071,655,561,108,063,604,754,131,
641,049,485,082,151,712,570,657,308,315,919,267,039,455,498,593,284,295,362,
152,322,252,727,730,452,013,281,411,235,388,375,075,557,344,203,878,236,116,
257,982,503,698,893,765,714,818,872,408,510,468,423,379,483,537,850,508,454,
945,327,527,025,812,192,191,236,878,262,139,266,272,630,185,487,410,111,218,
677,185,509,134,620,843,589,236,245,551,008,464,589,536,121,366,324,169,969,
137,373,202,289,029,820,217,374,070,120,352,579,621,887,172,285,682,420,330,
819,378,143,192,102,191,169,787,889,594,478,618,672,755,764,189,887,722,581,
787,434,618,100,080,980,127,346,894,154,130,696,675,964,333,784,841,244,323,
400,135,589,735,673,937,676,933,438,073,810,997,245,055,132,377,094,511,451,
069,842,807,837,124,285,672,697,585,414,288,733,150,302,146,926,374,646,755,
032,750,900,283,698,774,295,676,011,859,423,848,388,609,846,705,116,000,579,
314,685,435,228,444,708,458,110,554,250,798,244,172,759,601,906,071,752,998,
555,254,496,695,119,229,687,102,551,410,287,725,866,358,272,969,623,855,259,
093,667,542,591,508,611,635,038,807,990,744,537,796,469,525,775,234,756,537,
861,338,394,821,159,195,174,712,329,135,795,199,032,651,531,834,253,247,992,
059,002,527,516,456,637,659,289,187,929,317,829,898,156,423,971,804,537,914,
631,231,293,036,743,439,287,851,773,173,951,657,073,951,924,209,729,442,621,
919,978,528,333,191,603,436,227,588,958,918,022,188,832,571,140,312,644,829,
567,955,972,841,414,799,754,589,082,686,485,761,144,426,113,336,707,228,109,
254,637,637,643,046,105,669,843,736,773,806,951,318,849,333,919,033,011,033,
017,574,364,115,680,606,092,531,667,087,357,913,695,628,098,870,989,409,850,
781,118,614,909,317,089,097,086,845,847,723,555,742,458,211,214,064,831,063,
095,909,930,009,480,611,530,975,339,840,715,223,713,913,772,868,912,308,180,
203,959,831,889,620,238,656,671,142,000,301,577,033,709,827,217,819,180,752,
797,575,610,260,665,593,575,800,860,209,755,707,708,741,089,240,092,441,568,
430,146,265,176,224,125,680,859,881,901,182,573,107,109,346,213,155,241,086,
326,307,862,217,511,296,751,497,461,754,664,593,928,600,562,268,499,511,002,
499,644,811,636,310,424,718,067,676,571,244,479,638,378,482,742,932,958,878,
505,721,591,795,999,357,522,124,809,553,222,058,870,768,808,698,899,648,709,
831,688,126,006,021,715,266,012,811,249,152,464,117,001,089,477,695,366,029,
949,140,912,179,058,804,153,526,429,137,387,592,556,028,659,758,038,701,761,
204,395,780,969,292,194,339,356,794,009,179,092,612,557,255,353,511,948,060,
489,481,510,221,284,012,978,448,199,488,331,958,760,648,012,298,456,883,510,
346,422,500,427,721,057,234,575,876,529,661,943,555,747,563,846,353,790,164,
472,393,947,437,326,617,885,431,724,058,244,584,036,915,335,077,076,218,654,
608,549,913,106,945,091,143,279,771,185,975,908,792,817,838,327,451,127,430,
948,098,448,185,533,282,251,783,330,328,388,139,737,782,858,072,151,297,514,
965,089,866,446,051,966,774,777,299,543,475,940,360,217,076,120,590,663,756,
559,405,979,195,533,088,450,270,538,580,493,786,904,471,914,942,732,613,335,
816,011,839,123,953,705,006,961,802,245,044,499,105,702,463,619,505,451,954,
755,563,641,962,989,514,417,680,759,629,643,659,713,791,355,456,867,552,547,
356,236,087,002,748,760,927,123,030,174,202,105,132,632,728,207,896,737,018,
959,591,527,096,073,041,675,586,335,068,983,372,166,257,564,528,635,757,834,
966,516,393,029,944,855,776,892,915,525,038,619,543,803,585,656,452,963,515,
460,237,225,331,885,139,165,463,141,965,870,194,571,611,126,544,222,760,664,
642,765,073,351,345,283,019,973,932,642,824,245,003,686,353,436,926,283,959,
228,038,402,765,162,102,639,106,902,254,064,779,024,797,598,524,981,453,795,
407,172,035,264,609,224,146,509,938,822,888,136,326,229,309,610,029,838,168,
422,190,164,230,193,533,210,767,841,728,019,130,498,149,419,657,294,550,997,
541,638,189,317,985,018,525,602,347,982,339,142,299,214,351,304,230,682,442,
190,282,719,286,588,404,394,614,737,816,398,582,421,860,080,968,250,339,282,
008,780,077,093,478,726,973,059,216,865,322,361,514,481,366,460,047,137,468,
653,525,388,587,745,152,970,560,671,101,045,183,380,078,409,925,781,689,499,
131,578,902,170,723,750,568,517,152,925,620,761,636,913,835,871,664,562,009,
530,255,993,575,186,299,782,387,369,947,280,182,997,133,924,972,487,246,023,
881,649,195,222,151,624,849,037,040,257,112,131,309,591,931,019,498,076,402,
427,498,723,909,501,658,503,350,669,484,074,919,634,065,960,665,846,541,643,
759,404,620,027,389,000,685,804,320,975,683,027,617,909,909,469,342,273,577,
457,006,812,912,709,082,480,980,353,208,651,408,707,252,783,842,415,242,924,
551,646,461,454,767,029,169,264,315,032,063,092,357,510,392,466,223,146,222,
194,726,704,712,965,684,738,691,470,278,348,222,632,128,854,624,934,366,582,
785,907,941,425,252,497,452,004,128,358,536,607,400,506,016,225,661,504,510,
979,334,003,856,578,896,407,622,340,663,718,453,489,922,200,385,782,701,652,
332,742,997,516,862,090,882,128,223,620,808,750,087,218,198,692,537,401,818,
412,275,263,598,264,149,034,259,194,692,797,771,507,687,911,494,201,466,878,
920,437,941,461,050,078,155,822,044,492,335,846,606,996,233,312,018,421,841,
614,018,180,994,290,808,097,486,729,007,651,531,430,839,699,733,750,362,687,
673,460,176,602,258,785,230,193,494,434,030,971,953,854,421,033,574,296,604,
778,305,996,105,941,892,042,017,507,860,370,469,398,817,991,141,704,051,022,
302,282,718,261,087,126,720,467,173,980,564,263,089,363,138,182,350,902,234,
108,345,453,073,346,329,928,830,969,748,201,015,128,737,949,184,417,054,079,
754,058,118,168,678,311,612,428,200,008,537,843,948,389,531,465,281,814,679,
092,842,157,042,723,954,780,965,457,620,724,803,600,313,086,704,216,645,030,
160,988,965,949,640,522,353,142,092,990,024,256,859,395,814,189,538,386,730,
580,751,803,232,343,387,345,583,667,392,828,195,692,381,200,492,075,522,953,
522,443,580,439,891,936,810,539,271,523,169,687,029,215,528,906,654,174,041,
934,246,514,926,488,166,452,664,032,117,925,778,635,378,003,706,829,238,483,
858,054,795,138,987,452,716,701,048,391,180,080,542,739,401,529,658,037,685,
040,528,819,273,722,267,680,487,394,958,988,244,225,113,755,931,826,608,860,
564,202,670,473,377,905,999,779,560,171,850,674,751,611,388,402,408,183,931,
911,871,805,732,156,072,407,066,682,366,167,922,847,640,751,146,229,019,090,
377,648,555,345,260,881,322,376,589,794,836,162,485,540,288,390,817,532,703,
712,702,968,867,754,923,065,676,896,736,125,907,807,024,590,293,242,597,230,
043,478,263,711,205,744,903,957,266,927,276,845,265,067,052,676,821,905,394,
591,054,704,190,156,621,332,218,864,283,677,523,254,733,445,950,915,349,422,
118,029,293,829,919,142,709,457,137,288,227,285,962,418,762,827,380,368,748,
503,137,070,615,624,875,343,292,422,668,876,372,726,428,680,634,402,998,780,
964,808,238,689,000,826,956,851,866,587,625,892,298,597,107,835,131,952,143,
810,367,392,947,667,644,883,137,548,607,614,788,421,913,256,384,608,061,823,
743,330,847,033,718,456,426,735,641,923,340,665,382,263,833,441,273,529,960,
154,400,615,008,738,601,528,683,274,785,699,631,603,690,561,654,134,799,085,
310,255,136,302,674,226,781,457,494,963,603,337,461,036,372,807,124,632,682,
739,856,844,858,744,816,918,866,114,334,409,903,512,758,887,495,388,020,632,
736,809,195,564,718,402,862,020,465,674,279,591,092,701,035,288,952,361,853,
601,322,483,239,040,160,341,220,077,038,282,230,368,321,607,315,025,459,543,
524,845,978,219,955,888,172,212,656,743,257,809,060,969,685,748,798,790,606,
622,964,488,905,230,291,525,719,009,229,892,688,391,758,882,613,531,778,436,
027,452,341,805,807,952,338,553,135,345,522,069,938,063,839,192,696,453,458,
922,035,977,525,000,901,619,925,102,388,976,423,965,933,782,592,190,594,005,
781,197,850,832,345,260,634,905,520,618,039,427,254,772,695,874,223,101,781,
419,559,480,283,106,639,132,812,003,789,632,421,106,718,383,453,475,973,550,
228,999,396,663,672,673,339,997,241,447,136,698,461,285,497,303,871,216,418,
971,884,349,633,131,775,964,540,311,925,719,883,824,187,325,856,282,111,393,
277,652,682,578,191,063,831,858,672,796,481,927,792,052,575,456,728,041,411,
564,712,695,313,429,997,549,399,654,112,402,709,928,496,330,552,577,234,440,
849,077,363,543,345,351,163,045,005,691,429,987,094,947,917,156,001,201,701,
312,459,796,327,926,661,927,372,040,910,806,128,748,239,886,942,154,114,641,
451,464,126,616,919,980,002,533,513,186,524,315,553,929,210,686,323,784,404,
172,588,899,499,455,189,529,666,684,844,251,909,818,119,536,689,077,699,910,
532,443,713,169,324,972,193,867,633,093,830,905,522,419,061,117,449,624,787,
388,936,043,432,873,149,880,990,250,862,428,398,215,376,953,188,369,272,029,
108,745,119,813,430,110,626,547,149,629,559,015,790,840,964,399,115,447,859,
763,603,646,392,428,738,830,730,500,079,257,560,128,168,168,051,916,103,087,
756,822,068,190,672,278,977,177,694,146,435,626,534,768,739,418,427,590,492,
227,243,332,051,499,056,893,442,789,213,786,034,174,476,880,366,670,056,042,
766,137,440,299,807,355,741,993,156,545,186,608,919,707,954,685,697,569,933,
949,072,940,795,262,041,850,262,610,655,133,949,990,797,045,966,169,037,092,
586,637,260,085,042,731,174,752,387,693,267,795,944,131,325,167,484,396,293,
685,878,535,155,818,101,851,830,950,304,409,609,137,670,433,258,866,935,623,
370,132,369,353,843,550,523,312,988,116,306,880,833,850,423,370,061,097,701,
463,174,863,518,966,358,888,363,081,471,051,018,929,476,321,276,267,205,061,
396,380,568,080,831,792,564,739,288,347,295,996,967,289,417,576,325,844,874,
969,676,324,766,948,648,649,382,887,226,223,566,387,849,288,523,451,768,447,
744,453,566,194,142,974,953,652,270,300,385,438,828,317,499,493,482,530,696,
906,934,686,162,772,713,760,073,536,451,729,313,791,654,768,007,902,329,851,
417,269,368,721,215,860,100,106,289,204,041,028,733,510,609,859,391,866,135,
185,555,465,017,445,793,053,171,339,850,023,418,497,950,674,662,562,866,539,
438,871,215,585,556,018,042,786,949,991,709,960,454,103,710,370,471,726,987,
053,549,499,275,633,934,387,810,616,600,193,930,227,393,471,897,988,303,144,
966,137,033,686,526,542,607,664,900,912,379,663,113,106,652,108,432,810,892,
335,709,168,535,210,237,496,673,115,339,532,939,620,997,744,739,791,640,705,
739,946,835,037,864,540,829,280,360,647,655,393,855,233,097,697,252,503,785,
909,088,508,417,229,103,537,230,394,300,004,982,828,142,004,901,911,267,733,
127,329,452,488,204,876,773,262,298,953,924,177,661,472,451,618,329,227,416,
036,830,736,750,668,503,210,344,318,097,536,051,687,772,096,777,391,552,468,
089,608,474,306,985,036,134,189,898,035,815,305,517,495,629,031,543,051,561,
489,678,984,108,184,028,189,069,290,081,206,557,609,690,138,237,902,406,136,
599,336,840,469,265,537,480,770,313,193,169,577,437,973,709,023,282,654,788,
555,563,143,030,702,892,454,078,731,490,182,306,574,099,573,381,838,855,796,
720,672,564,447,752,560,547,326,627,896,288,202,432,641,191,786,789,791,481,
148,570,708,485,604,960,889,348,851,964,885,900,865,885,622,272,562,981,169,
578,922,464,703,184,471,424,445,073,589,574,709,446,413,492,685,822,038,177,
697,089,519,480,114,557,013,160,450,599,038,150,122,133,267,349,734,674,881,
192,411,185,134,857,408,911,932,817,165,221,171,125,456,073,491,840,911,163,
477,566,078,803,305,821,230,106,379,962,353,369,886,226,457,977,460,547,559,
153,583,119,616,148,160,024,005,888,159,932,281,085,290,514,448,863,881,926,
227,571,172,519,070,881,127,926,007,117,551,256,388,348,251,952,562,201,103,
566,238,618,284,341,439,821,422,944,326,322,228,316,477,278,983,949,219,167,
225,402,039,492,725,407,417,674,724,314,620,892,335,131,861,495,030,535,217,
956,195,127,862,879,455,861,497,707,997,026,915,581,456,949,217,703,381,890,
230,940,643,714,658,519,965,398,739,584,589,383,312,552,401,218,815,798,774,
846,389,457,921,117,423,209,451,754,986,077,750,331,325,206,133,183,577,508,
864,511,758,545,144,446,228,596,900,695,789,853,811,770,102,376,396,103,206,
111,967,062,260,294,407,769,373,464,805,559,151,179,658,666,824,397,849,750,
172,024,901,273,164,949,373,051,825,037,148,163,145,093,815,431,114,668,716,
188,411,291,728,721,480,675,296,186,648,377,826,879,383,725,830,219,650,088,
661,146,112,798,251,716,942,259,625,265,173,488,476,061,552,679,498,266,852,
503,875,634,885,943,135,068,241,096,977,408,296,886,334,318,795,556,469,324,
940,253,634,285,474,385,972,459,076,002,278,539,056,675,822,447,644,571,989,
970,968,886,061,748,014,440,738,898,663,426,461,214,713,745,516,227,510,126,
079,762,030,772,326,139,538,918,865,460,313,762,954,531,429,034,977,005,455,
942,670,344,360,529,133,965,609,166,996,617,562,277,237,999,906,869,246,592,
160,589,515,442,639,253,027,088,410,491,803,401,147,473,907,728,399,397,178,
605,479,911,944,303,063,114,225,865,111,406,921,802,366,649,855,629,949,624,
909,849,908,792,201,573,197,064,968,207,110,671,066,004,775,968,715,019,106,
468,265,576,329,373,694,804,313,257,020,260,210,770,287,729,446,892,771,542,
457,086,066,705,898,741,256,062,828,721,203,885,622,542,901,835,823,193,888,
078,682,377,542,102,455,742,109,828,215,118,438,396,181,870,213,378,181,939,
442,155,008,397,735,060,309,050,947,442,734,636,469,423,627,344,700,191,179,
806,488,389,281,008,183,442,606,133,393,164,354,495,292,469,412,305,580,149,
129,434,115,570,002,782,843,362,900,526,969,417,939,988,442,247,682,069,535,
870,590,792,232,021,120,848,770,640,542,814,295,059,642,570,367,294,642,092,
542,396,003,012,075,552,824,338,932,534,108,121,273,193,400,948,660,423,349,
325,203,995,986,311,384,240,503,929,696,580,377,588,616,702,862,881,930,255,
659,165,375,192,524,434,814,851,535,015,369,235,297,049,943,581,433,021,404,
450,189,840,503,671,813,362,739,956,693,267,628,297,059,564,825,664,049,241,
856,265,311,853,910,388,899,010,855,713,611,362,801,343,121,677,866,091,035,
102,946,094,966,197,546,469,367,090,252,493,832,191,102,569,143,209,319,035,
431,649,047,935,091,107,640,683,262,051,908,272,860,450,989,753,408,662,073,
902,294,866,368,650,324,882,802,121,653,512,375,666,692,780,720,686,049,327,
236,726,465,022,193,603,171,866,727,719,860,688,119,657,685,328,248,660,649,
132,458,644,348,056,633,727,697,599,085,670,894,323,888,173,034,794,210,096,
078,766,153,991,340,303,350,773,747,529,132,947,989,027,223,259,762,024,778,
989,658,072,531,207,954,581,101,922,264,618,972,472,901,376,069,444,378,937,
081,135,432,492,222,142,993,228,217,977,219,659,112,082,688,439,397,008,111,
606,530,488,832,688,181,060,114,924,323,509,668,491,148,476,493,430,603,455,
844,095,390,240,324,784,768,640,933,078,553,080,818,161,620,934,567,312,628,
738,165,050,945,862,795,388,888,732,685,552,769,452,735,042,579,701,386,243,
247,936,984,402,758,928,477,040,674,655,026,213,562,118,469,995,968,365,487,
953,509,823,466,419,479,410,938,355,618,313,468,376,491,130,930,171,197,904,
571,245,315,439,523,117,433,827,254,625,324,928,422,218,539,654,942,593,935,
940,038,870,569,047,933,828,742,658,532,739,095,912,658,299,222,844,354,947,
867,242,288,953,690,181,265,639,101,258,662,910,644,973,066,932,954,614,025,
967,108,468,601,980,633,347,473,267,882,897,474,362,127,315,913,330,599,388,
346,983,695,831,145,118,926,028,793,158,650,267,345,312,290,330,849,434,312,
947,001,934,639,984,065,959,336,552,405,343,109,615,469,766,949,800,472,915,
641,556,526,886,939,126,455,207,528,889,406,620,789,163,052,658,062,444,726,
068,535,822,278,780,797,222,477,330,408,756,569,222,144,222,702,755,819,697,
780,264,364,908,712,492,689,440,326,814,669,897,663,360,705,281,072,644,905,
855,051,564,725,733,595,925,788,432,584,784,407,814,708,263,315,747,504,769,
571,261,591,266,016,401,317,967,177,318,208,205,435,412,524,664,028,729,286,
816,272,928,328,249,428,013,462,109,594,436,290,120,515,432,670,381,247,166,
859,940,679,050,107,511,916,767,653,267,668,108,168,956,811,094,774,616,418,
315,306,293,104,685,929,189,349,459,537,545,906,379,091,973,478,782,689,528,
008,800,512,107,291,925,249,084,862,342,135,964,892,531,632,510,585,707,735,
014,302,947,879,319,652,301,002,950,209,062,204,898,413,686,640,284,342,558,
244,477,247,091,178,042,667,092,565,821,090,241,815,075,218,422,097,426,488,
091,945,140,498,325,011,142,835,454,833,136,043,182,395,570,256,852,498,168,
851,860,753,790,016,824,509,568,210,696,625,209,909,943,732,741,064,683,229,
381,867,677,680,318,181,312,514,101,369,735,635,950,026,630,001,164,726,220,
539,482,091,306,315,149,085,253,767,984,314,077,842,397,590,365,655,645,446,
195,734,403,985,031,360,735,491,407,330,602,779,786,259,136,399,721,831,718,
345,671,808,932,052,611,718,687,067,541,937,376,630,326,156,261,293,134,143,
299,331,404,618,334,814,722,004,078,275,895,056,161,923,434,626,581,273,840,
375,880,806,174,652,384,639,724,024,034,946,428,061,674,434,686,874,959,673,
274,915,664,899,141,051,973,826,192,371,403,044,889,216,470,142,934,021,973,
250,327,919,489,065,907,116,724,316,689,666,882,420,344,914,109,538,885,674,
748,479,470,182,773,782,432,481,402,477,760,514,601,351,962,493,549,896,503,
868,104,765,270,855,111,193,068,395,608,125,197,611,122,987,144,990,614,370,
980,420,404,498,462,831,033,987,478,372,071,667,110,101,248,675,878,399,302,
008,020,717,039,154,060,316,680,287,073,316,833,330,313,084,391,962,924,560,
110,917,677,812,043,612,697,869,212,744,327,122,100,637,733,583,021,106,819,
453,628,366,002,397,809,609,032,260,342,320,024,135,492,978,932,863,686,544,
914,302,559,284,997,348,414,947,489,359,046,882,705,507,902,459,271,336,119,
430,041,528,912,800,221,125,165,296,651,732,158,505,133,495,648,885,534,777,
030,644,699,132,945,941,162,775,549,143,563,085,805,419,352,004,728,874,254,
883,529,858,643,176,722,983,304,822,600,535,807,898,669,055,009,859,170,739,
967,051,614,272,400,840,070,908,548,400,848,421,272,121,853,960,413,599,475,
185,825,422,970,737,132,515,285,278,477,315,666,950,145,975,134,870,342,395,
331,613,706,136,863,104,215,505,211,139,600,411,332,342,509,319,472,574,960,
724,900,687,545,176,471,864,336,096,665,810,480,960,235,251,598,646,202,079,
116,015,004,932,429,099,325,451,349,830,740,410,979,410,902,914,066,263,501,
349,392,942,511,844,645,161,006,219,896,596,305,896,617,107,975,361,497,925,
776,397,263,170,445,064,492,378,317,851,935,976,015,782,826,805,106,876,568,
191,871,424,528,751,569,977,725,519,186,249,625,332,134,749,666,262,916,400,
282,605,986,939,508,590,720,794,933,148,287,634,900,699,416,521,937,114,151,
637,244,848,458,815,339,988,501,318,716,468,057,226,909,587,720,904,207,078,
874,775,443,739,509,543,514,555,378,829,446,578,917,923,924,863,966,816,429,
694,980,948,749,191,785,771,361,083,173,912,789,326,716,787,873,877,414,168,
859,699,221,717,062,055,969,171,545,156,325,076,078,641,389,408,447,519,931,
852,844,618,567,732,309,349,016,101,794,345,139,207,881,171,014,220,363,343,
100,094,344,781,750,643,612,841,706,610,888,745,802,344,911,301,317,918,073,
685,539,328,630,068,457,351,611,673,094,030,106,938,887,645,430,973,243,310,
217,970,947,200,667,701,790,454,996,836,414,593,017,337,450,955,244,416,160,
837,239,049,599,843,829,808,461,744,074,080,982,221,110,915,459,065,627,019,
217,528,807,995,693,264,519,568,558,366,342,119,492,800,634,082,825,817,379,
792,038,529,634,245,533,973,067,171,364,992,048,147,960,603,516,189,302,699,
288,615,953,910,283,423,629,677,831,558,402,546,252,239,685,933,814,675,800,
567,076,983,628,003,517,770,597,163,101,637,412,289,162,288,436,347,678,564,
354,955,272,972,540,969,851,435,193,398,164,803,774,898,417,331,091,636,589,
458,714,877,719,109,637,430,921,680,870,347,234,041,936,317,346,366,306,802,
410,118,677,677,192,842,420,157,971,902,384,460,814,642,997,572,146,687,088,
392,585,585,410,065,933,989,899,893,074,948,070,187,154,069,469,002,866,510,
683,065,496,700,199,791,194,114,142,708,940,949,307,850,836,802,560,326,045,
861,786,427,921,855,688,016,362,727,107,678,115,536,897,131,128,152,532,073,
369,568,493,410,551,315,468,662,725,303,515,591,324,428,759,374,606,172,193,
748,322,222,352,256,269,913,891,673,480,174,843,545,053,918,504,642,546,569,
676,768,752,271,161,713,220,009,198,319,364,066,731,373,845,985,068,346,366,
623,259,215,123,586,812,705,814,786,176,365,962,931,970,964,214,909,987,444,
390,885,636,760,089,446,046,755,618,627,260,696,968,369,131,479,013,521,037,
742,679,707,700,266,360,667,966,766,827,209,719,708,486,250,413,814,112,944,
191,221,967,447,698,044,259,632,972,742,102,555,357,608,504,074,417,753,277,
686,401,748,322,591,109,242,042,905,040,443,739,565,554,151,425,143,685,013,
170,360,925,205,012,633,050,823,043,336,939,248,036,684,076,613,026,438,343,
417,802,194,336,770,841,973,014,517,569,590,841,241,812,370,472,195,858,495,
091,127,451,051,835,198,267,507,860,168,482,936,026,123,111,253,264,692,647,
489,533,920,411,854,056,116,309,481,410,975,308,834,039,157,437,366,592,000,
619,752,190,175,882,276,762,659,848,939,331,210,868,731,364,258,993,010,670,
745,140,225,411,028,198,872,061,021,202,316,660,702,926,877,199,341,520,372,
399,682,117,620,693,035,656,887,921,821,536,172,649,113,687,361,222,717,667,
689,438,442,939,879,926,906,762,654,034,163,864,553,120,784,800,599,374,288,
842,626,179,130,832,722,937,128,407,981,390,521,709,022,601,850,297,887,281,
967,216,925,138,336,397,525,485,270,839,623,934,804,807,410,497,338,304,316,
005,953,784,455,423,055,103,158,110,764,168,751,260,275,603,326,217,693,972,
898,738,091,643,910,044,345,304,320,966,091,610,817,817,747,880,873,710,250,
353,122,295,885,061,210,987,791,965,855,696,998,663,364,291,493,324,373,799,
287,198,968,621,445,133,190,152,526,643,056,753,067,167,591,762,418,823,553,
612,498,109,618,560,085,572,406,685,726,394,557,768,635,231,523,982,055,561,
255,433,448,263,511,500,575,885,469,727,719,164,223,404,168,855,135,597,937,
397,093,724,936,913,769,213,574,719,841,925,020,930,848,839,742,543,099,674,
657,708,344,488,952,678,784,913,519,808,092,164,568,976,636,709,628,510,883,
515,327,807,372,714,987,942,778,091,850,054,119,626,680,621,306,778,440,188,
453,396,063,484,513,879,123,028,828,624,177,155,286,861,217,779,537,241,278,
933,135,158,437,654,250,764,006,049,908,986,359,702,712,690,621,506,263,635,
473,293,179,137,592,737,995,909,798,485,775,694,331,930,479,289,775,822,935,
070,397,476,538,438,047,556,938,267,881,986,775,917,950,576,458,800,885,404,
093,020,170,501,467,432,046,663,943,877,878,950,242,104,925,334,374,222,386,
663,002,885,466,980,167,503,496,527,588,633,085,909,985,060,270,844,561,120,
203,284,599,860,585,069,296,838,264,645,113,913,865,925,759,204,869,341,354,
509,926,589,748,360,636,384,291,435,693,603,231,679,803,500,135,503,361,791,
872,328,243,215,694,332,195,739,951,000,916,165,473,609,540,193,584,050,200,
341,379,446,701,944,600,844,529,611,657,654,877,391,907,366,789,114,321,036,
689,477,877,901,094,203,698,554,765,056,098,868,112,388,572,253,679,717,078,
894,971,949,829,659,885,890,610,053,514,071,683,492,982,241,321,683,855,801,
812,690,193,954,436,239,348,322,852,686,951,952,882,254,168,698,152,426,904,
294,283,645,317,579,388,166,002,498,955,886,270,454,635,701,741,315,049,826,
923,370,984,614,162,488,667,356,196,050,404,230,722,320,961,934,192,808,162,
488,613,259,332,399,177,102,255,226,089,025,901,519,636,517,002,350,995,493,
866,592,032,744,266,486,211,036,244,757,049,967,222,920,991,003,104,492,650,
416,865,547,869,936,163,342,308,033,309,678,580,859,510,957,514,940,025,594,
187,269,050,501,990,589,061,427,063,626,707,780,726,628,050,714,009,260,791,
253,758,465,186,252,052,249,574,207,351,623,612,110,861,265,287,219,889,886,
977,354,716,769,273,265,861,881,285,875,674,766,820,811,101,075,521,151,863,
939,851,858,605,438,982,190,442,011,871,686,461,077,000,375,538,803,327,940,
220,681,627,374,063,780,080,800,028,685,218,124,873,321,637,317,695,428,042,
531,549,014,032,429,122,772,729,499,404,855,155,024,194,743,771,976,694,831,
118,928,412,137,236,017,908,385,387,921,468,675,993,573,392,746,100,095,414,
651,198,634,221,330,812,524,094,364,913,103,943,743,138,873,174,667,631,806,
440,681,252,356,515,444,446,900,805,542,415,781,729,274,204,865,386,909,243,
248,660,709,741,742,039,889,844,799,904,653,492,433,536,478,385,098,184,875,
559,808,013,653,722,426,205,443,091,960,962,427,468,730,856,698,848,207,668,
138,582,451,932,858,266,356,879,390,431,759,414,874,168,239,258,467,945,674,
893,675,113,667,513,960,595,968,262,279,890,092,589,683,856,630,076,576,334,
280,161,655,050,260,752,998,708,933,599,070,713,107,174,269,160,742,523,126,
524,182,963,436,655,983,593,285,224,388,804,259,183,719,199,879,595,519,443,
215,464,867,502,737,877,440,717,473,261,504,783,978,795,764,958,380,598,114,
787,538,919,332,154,943,019,887,069,998,886,828,355,623,064,275,966,353,982,
561,094,894,779,690,563,295,100,372,841,483,388,109,366,474,121,698,400,338,
404,286,451,833,872,510,719,318,439,171,492,175,347,075,083,649,188,894,043,
513,995,561,703,320,553,059,140,615,999,066,609,970,371,210,194,573,177,527,
318,282,146,271,605,462,152,231,402,848,749,624,801,018,718,714,142,019,644,
244,309,719,504,171,218,029,692,812,871,193,765,130,319,243,317,279,342,833,
518,037,933,393,109,062,821,401,485,209,557,335,712,673,413,564,593,647,431,
833,911,381,006,426,097,343,531,150,630,759,330,449,943,823,804,345,740,111,
162,758,951,137,907,726,280,204,491,381,977,111,422,143,160,590,912,719,312,
075,343,542,056,883,772,395,254,218,791,152,032,503,189,858,756,780,740,225,
954,219,869,593,665,590,033,620,963,057,944,057,099,334,806,016,044,103,367,
576,993,819,409,862,015,059,757,793,735,717,910,668,571,560,225,363,844,884,
039,696,372,388,138,484,225,243,232,012,744,420,090,611,241,071,459,494,504,
721,220,083,382,420,793,230,818,392,355,957,103,493,962,643,735,237,681,070,
985,084,050,292,569,951,274,130,085,243,409,233,501,134,178,938,429,181,050,
106,954,738,472,196,603,043,192,025,418,391,476,548,405,363,967,662,727,854,
201,308,354,683,565,608,120,036,241,206,127,799,777,598,721,913,031,977,773,
929,034,442,092,984,524,247,438,484,105,633,618,822,174,759,940,950,934,428,
333,026,515,583,776,475,053,682,806,241,182,113,814,928,750,724,235,389,948,
459,237,399,434,767,022,350,185,345,771,966,551,171,637,841,938,243,913,537,
047,645,649,355,251,802,790,170,480,481,383,188,471,165,638,151,514,857,599,
759,526,802,561,622,461,141,120,249,687,322,446,867,164,728,153,765,436,901,
549,238,787,886,800,883,557,752,336,307,506,862,793,146,298,409,790,991,209,
261,940,411,646,989,097,004,186,097,486,898,845,479,702,672,595,244,581,156,
585,801,284,233,624,741,044,177,030,842,266,933,865,402,334,758,519,071,738,
108,014,190,598,699,859,474,826,437,634,219,024,162,802,650,681,640,478,144,
248,703,309,711,691,218,132,660,446,613,591,031,561,333,210,882,756,787,571,
274,967,726,121,861,828,027,017,720,987,775,203,823,846,695,521,559,870,766,
352,546,638,511,299,715,310,405,308,283,573,027,763,938,710,086,101,920,453,
672,389,537,902,118,674,644,789,568,229,048,609,813,412,217,487,484,398,430,
831,277,694,891,821,083,386,439,955,344,476,449,874,694,197,983,529,454,335,
812,729,580,494,484,756,783,578,646,093,196,275,884,817,651,693,524,211,276,
189,747,922,744,595,614,162,725,328,472,880,118,434,657,176,291,272,652,939,
981,227,237,860,414,049,030,278,697,983,050,985,270,777,796,696,837,048,845,
336,352,236,986,745,787,413,523,097,755,980,568,838,003,778,293,102,063,542,
902,957,447,852,401,156,020,273,532,857,624,685,868,278,801,533,176,962,095,
014,569,268,915,672,790,094,982,939,083,548,025,875,562,905,562,474,519,363,
386,050,587,256,378,923,341,047,587,422,533,499,777,909,620,259,541,545,959,
547,226,686,880,274,527,611,218,924,584,725,138,323,669,488,717,489,900,817,
066,073,503,156,491,933,132,786,902,267,410,095,461,567,337,746,048,313,343,
668,703,278,176,237,579,646,364,554,311,856,480,856,592,899,708,006,313,057,
395,960,274,293,408,937,714,095,515,555,366,469,601,456,402,781,744,508,866,
704,067,736,159,149,414,712,632,058,732,447,232,606,614,163,215,360,022,889,
804,121,857,076,058,699,034,690,756,403,100,977,657,380,043,412,764,297,253,
326,972,039,209,000,864,041,820,584,827,279,390,926,916,144,954,796,687,383,
308,673,523,773,301,679,950,496,623,675,856,131,801,635,461,706,694,044,192,
758,320,254,075,080,164,665,001,490,189,356,510,448,489,272,233,839,184,751,
037,926,746,267,817,178,114,050,238,168,212,992,549,754,948,564,548,543,340,
928,634,474,698,385,884,561,275,849,625,647,546,226,712,733,825,987,313,908,
898,743,895,107,796,138,729,048,661,265,194,020,476,775,621,100,274,795,714,
997,874,401,180,734,021,579,242,155,994,145,824,431,135,484,796,159,619,573,
905,676,625,025,413,709,389,088,783,425,139,404,395,048,856,617,313,086,878,
616,238,997,333,658,557,602,880,463,291,136,306,728,193,745,699,546,437,442,
945,546,556,940,602,088,803,710,347,538,501,537,881,724,641,698,540,036,535,
147,302,766,670,791,873,581,710,865,586,481,906,955,318,495,675,802,276,883,
094,822,646,999,614,681,072,523,504,314,196,019,405,908,931,214,703,439,948,
089,206,006,964,805,583,803,305,495,756,471,027,759,487,039,020,235,703,955,
762,289,487,867,243,077,095,770,475,067,050,382,584,029,320,931,001,208,611,
571,002,060,808,705,582,942,115,859,016,107,117,751,766,255,009,387,024,506,
995,401,286,715,460,522,964,444,828,447,656,468,740,412,008,980,224,252,407,
539,446,096,643,049,874,386,424,863,613,089,079,639,553,509,621,692,744,158,
666,181,154,603,388,987,059,997,549,687,178,365,245,313,237,073,008,805,606,
123,328,962,232,593,948,591,153,287,070,578,448,769,849,340,854,666,671,522,
404,485,110,116,632,900,123,771,488,798,511,099,849,887,730,457,449,196,254,
609,700,301,530,882,381,136,803,940,716,525,973,588,364,293,698,326,815,919,
271,927,369,283,031,057,744,167,334,740,385,729,756,854,729,723,127,325,041,
799,399,880,574,636,370,307,881,131,738,590,524,359,975,320,177,517,840,567,
860,047,408,481,196,667,269,087,185,700,360,367,894,705,538,144,399,830,284,
798,305,748,946,811,701,937,186,342,989,921,492,130,370,395,854,016,478,008,
921,067,561,519,526,055,050,148,595,671,714,836,809,119,943,292,621,397,151,
207,099,724,707,135,370,831,939,216,815,828,674,409,476,954,448,140,010,606,
143,302,570,088,960,375,696,493,898,237,453,932,229,000,762,941,900,368,354,
547,780,357,346,595,786,609,107,298,772,173,768,292,693,414,868,699,957,324,
203,281,384,971,632,096,836,672,997,314,185,506,357,979,493,449,376,300,603,
883,009,972,251,932,221,121,230,202,381,187,955,511,300,262,613,240,790,138,
666,574,583,107,276,464,334,770,467,294,504,578,446,570,420,507,870,764,406,
685,468,367,236,216,064,956,950,215,085,631,797,070,554,482,766,804,421,661,
579,401,578,313,983,794,351,063,397,205,439,286,097,036,497,859,734,767,190,
909,862,643,953,157,948,070,215,442,878,433,883,794,348,110,180,555,972,787,
713,809,737,560,323,705,175,156,613,746,690,837,165,692,168,398,646,467,580,
222,019,009,273,746,525,276,384,515,356,320,721,343,420,471,994,591,112,457,
373,876,731,848,052,765,881,051,411,850,200,707,450,147,816,120,936,185,490,
522,484,775,965,612,761,523,023,997,565,199,174,571,068,794,536,558,111,937,
688,014,553,475,184,959,812,179,347,212,174,459,464,577,067,673,960,242,822,
451,029,802,462,833,748,503,224,273,569,406,974,195,444,964,959,415,911,610,
097,995,595,671,272,800,199,096,959,203,028,593,610,477,741,420,361,188,845,
092,843,007,514,980,522,975,966,281,509,940,512,840,561,201,875,379,635,000,
682,509,579,014,799,557,118,503,169,308,808,561,755,228,953,121,605,215,659,
920,303,447,236,563,164,479,613,254,594,774,048,478,078,029,843,170,942,744,
309,885,203,564,932,820,189,312,654,846,891,802,459,126,178,047,727,422,896,
918,964,643,156,394,842,223,345,540,326,296,317,469,290,659,358,035,523,348,
402,480,077,331,329,072,441,618,125,941,694,798,882,146,353,417,538,634,388,
384,392,823,297,422,444,709,479,632,270,689,941,108,768,026,556,316,358,878,
102,884,926,017,770,286,642,286,491,111,354,863,054,604,533,686,947,328,052,
363,932,804,980,585,675,920,372,066,029,351,542,421,467,618,890,322,031,110,
982,087,508,118,707,867,419,096,417,965,651,830,634,480,016,771,198,284,045,
219,534,548,350,239,712,652,344,907,901,380,021,200,817,620,188,167,809,509,
229,165,314,907,882,955,561,154,555,207,201,074,008,974,097,553,222,118,544,
265,667,478,051,368,683,011,156,699,377,184,172,056,072,099,060,855,866,012,
435,386,981,322,263,663,100,519,638,443,890,122,475,419,019,550,067,928,720,
218,693,682,395,546,685,369,395,046,987,246,750,761,922,471,134,037,920,703,
199,561,025,554,051,592,299,263,298,407,668,273,052,946,525,396,827,639,292,
201,078,232,194,760,806,548,830,391,527,989,368,370,493,345,927,771,418,092,
410,713,614,632,701,234,589,224,391,049,351,426,497,702,434,012,977,049,152,
798,631,085,038,282,934,764,244,397,452,906,326,799,528,857,542,401,496,711,
159,244,103,586,086,973,348,581,133,367,735,481,895,936,853,351,771,194,287,
261,852,291,903,889,016,408,678,414,721,461,717,476,994,829,970,840,165,391,
728,647,089,281,032,163,926,457,467,005,506,936,700,853,593,110,388,151,539,
860,718,972,272,994,324,288,633,458,503,360,196,221,900,533,288,135,505,561,
780,377,680,817,678,737,992,481,864,261,109,856,469,603,209,428,949,953,134,
660,384,660,718,722,568,531,463,181,146,360,762,028,189,098,325,765,492,007,
613,822,499,108,203,799,238,744,178,580,054,775,806,562,469,712,499,672,256,
625,186,015,939,337,021,600,654,796,855,564,604,311,480,857,920,661,295,186,
074,617,063,581,247,063,072,164,145,653,146,628,825,512,508,003,579,590,011,
523,842,104,649,281,543,537,514,028,466,031,804,359,525,401,257,814,355,577,
250,317,809,187,696,509,455,029,502,374,186,641,227,386,554,276,799,189,360,
047,971,170,799,865,417,962,828,904,537,271,475,524,505,861,298,982,169,405,
838,060,967,863,788,776,681,481,212,429,886,458,033,322,808,935,909,361,615,
510,532,330,259,882,577,360,941,196,225,756,992,113,484,815,411,711,029,324,
688,353,535,278,061,024,160,669,425,675,009,907,358,096,039,482,641,128,018,
906,273,010,070,092,302,081,864,150,161,951,017,006,663,821,070,202,338,705,
004,722,896,368,552,376,622,672,868,395,108,595,698,513,461,159,776,551,870,
853,748,846,022,636,135,807,364,654,531,946,030,466,744,305,510,056,093,868,
772,468,731,989,103,377,174,904,140,222,628,405,401,548,231,447,798,870,607,
456,015,660,147,184,895,562,839,682,355,069,691,194,175,295,735,041,601,801,
870,674,068,137,295,551,224,936,197,747,248,635,154,206,677,571,865,647,512,
538,805,739,481,168,943,323,319,802,501,422,158,179,540,560,626,324,426,046,
380,777,601,047,626,626,481,053,894,955,851,243,357,888,520,058,373,854,085,
697,837,409,204,215,353,543,167,184,154,744,203,307,400,214,340,907,004,364,
878,402,918,069,689,164,172,578,522,036,449,941,121,845,790,420,091,334,776,
898,008,995,939,049,641,996,619,017,920,440,318,938,438,138,157,462,442,119,
191,064,461,528,114,527,548,259,800,132,485,440,581,587,837,480,023,126,028,
834,399,432,753,393,258,588,442,535,529,410,254,439,432,833,931,527,917,089,
201,808,060,228,070,795,646,618,662,353,742,422,486,122,943,798,783,215,267,
191,798,760,453,935,473,550,415,514,898,494,790,259,003,864,035,793,478,719,
376,094,711,131,659,000,183,354,765,316,537,819,952,469,752,319,536,747,218,
708,380,762,686,075,707,021,437,365,330,746,060,037,571,063,288,168,781,317,
646,110,008,324,135,032,297,330,845,286,742,741,049,869,557,983,216,119,099,
382,310,396,490,834,023,401,783,376,720,495,448,211,891,908,364,267,440,323,
761,526,560,512,343,878,446,435,283,574,867,919,184,604,820,218,635,429,624,
956,908,355,974,406,412,773,384,307,372,744,184,885,663,922,618,682,384,412,
286,696,372,482,058,646,665,081,671,662,328,645,652,814,787,863,748,566,919,
886,348,745,751,426,110,098,857,199,868,554,493,632,994,336,634,597,794,227,
678,552,714,683,853,318,377,004,534,549,621,453,851,485,471,859,442,940,631,
569,626,379,343,673,466,666,549,660,074,855,428,099,184,867,973,684,818,452,
313,878,574,544,438,667,230,903,151,909,673,531,178,451,564,533,298,061,014,
070,558,031,547,622,260,667,547,334,977,149,602,108,736,701,304,227,660,185,
283,396,173,807,702,944,144,962,522,717,106,491,487,692,865,193,370,189,301,
557,145,145,192,952,691,910,219,451,498,733,581,293,229,291,561,861,298,828,
455,692,834,542,660,898,686,454,349,764,379,349,960,344,223,208,371,848,178,
717,742,935,640,962,263,001,433,304,550,209,767,998,217,031,509,465,022,099,
931,367,753,204,599,278,387,005,430,489,068,888,456,872,187,956,578,979,813,
024,595,990,460,948,272,683,698,628,566,568,166,428,679,737,009,087,850,477,
314,764,997,637,195,017,899,375,829,414,323,619,819,690,467,532,092,962,730,
302,318,127,571,253,298,766,745,691,290,146,183,352,816,081,500,614,190,382,
067,175,890,194,399,050,294,898,782,574,094,255,336,991,330,736,355,660,631,
682,246,150,577,481,201,189,227,201,135,805,178,766,106,113,981,802,416,864,
010,808,159,037,551,111,997,690,279,508,868,405,401,153,023,204,071,864,962,
899,559,857,217,455,750,116,605,859,388,978,292,073,398,137,371,240,528,183,
881,548,530,147,347,298,773,596,923,673,515,180,242,879,985,877,498,263,609,
445,951,757,092,358,164,672,785,468,250,291,983,977,841,534,328,200,285,987,
806,526,926,447,781,715,639,946,384,614,465,207,465,048,900,089,567,829,308,
098,498,887,743,608,837,469,313,075,564,330,237,993,807,202,203,851,152,106,
198,467,369,723,731,245,970,312,189,282,837,061,053,583,513,336,272,225,240,
565,576,097,673,511,856,495,447,719,438,058,189,600,942,169,561,117,556,143,
452,040,665,227,002,290,054,744,117,267,903,912,331,958,191,265,101,897,498,
623,569,167,355,922,412,074,457,894,978,958,810,105,960,414,052,243,943,131,
292,668,089,966,565,633,044,885,079,466,367,318,183,304,209,579,468,175,722,
868,894,340,031,162,059,191,953,724,758,339,764,307,588,676,703,034,260,600,
717,289,923,075,195,229,646,984,627,367,251,772,936,781,039,353,099,648,421,
001,404,854,627,822,999,360,887,572,970,965,907,017,137,449,104,013,360,029,
791,216,027,914,898,739,663,068,110,250,860,914,177,730,126,650,727,197,594,
190,121,950,689,910,029,572,402,989,630,804,709,539,931,044,920,330,804,340,
754,294,111,914,380,683,526,341,777,174,064,027,408,747,979,577,736,359,456,
313,844,780,613,052,707,704,834,402,069,261,064,226,034,226,246,157,668,203,
057,093,712,575,709,141,439,841,305,079,643,667,767,189,653,341,821,774,023,
891,165,178,050,251,360,143,243,489,361,569,867,355,237,338,884,956,300,761,
397,560,604,226,500,840,931,010,577,545,964,508,029,888,297,701,009,718,389,
000,877,620,797,493,558,785,042,167,584,073,194,951,100,948,474,834,514,580,
286,111,780,664,910,484,297,269,420,198,464,952,634,047,427,593,656,925,826,
922,058,868,886,281,616,400,080,271,988,558,359,575,847,853,658,098,112,590,
684,870,299,303,720,696,797,284,164,122,367,673,739,793,916,624,953,202,411,
670,968,629,353,564,635,232,877,251,687,103,840,440,592,196,687,714,332,976,
186,117,461,782,048,441,452,501,433,486,510,140,671,010,708,815,182,288,171,
352,672,839,577,079,443,080,133,139,533,546,743,951,281,838,649,746,282,322,
473,711,762,901,459,364,895,646,155,544,230,640,560,717,521,606,567,464,648,
967,846,262,888,346,224,013,121,452,744,668,482,075,065,613,566,615,673,676,
657,463,058,470,552,033,754,138,916,607,113,317,182,471,883,460,422,688,428,
576,627,342,862,170,028,773,104,876,397,516,221,739,301,355,174,243,878,167,
098,995,849,008,860,132,557,635,037,088,935,425,544,400,646,087,780,523,200,
761,542,511,008,208,940,214,105,925,339,206,050,203,373,478,098,218,014,410,
953,178,409,883,871,371,700,833,373,875,222,523,237,853,142,171,526,351,528,
561,882,909,043,576,890,691,894,560,331,396,777,770,384,649,863,815,654,154,
089,107,747,223,774,277,640,394,315,342,150,180,892,431,468,640,617,426,493,
151,515,841,233,313,899,117,180,273,429,674,317,240,259,831,390,530,424,353,
161,226,333,436,823,381,108,496,463,411,407,192,396,011,575,230,129,316,690,
546,565,367,248,181,716,551,845,746,285,839,403,373,486,045,581,837,427,279,
745,857,686,867,568,020,170,598,366,359,864,877,162,030,765,692,888,004,130,
527,488,257,431,293,724,735,982,541,129,562,338,465,137,197,163,687,473,112,
209,330,802,180,905,142,178,469,825,874,299,098,218,244,532,156,742,369,813,
723,429,805,729,140,550,414,013,368,801,260,833,248,894,228,979,787,489,574,
518,681,576,458,879,829,120,533,159,572,812,188,237,627,681,768,265,455,014,
599,914,126,516,318,591,225,085,948,293,939,544,520,908,765,507,787,461,567,
907,377,841,768,781,018,648,304,535,152,526,242,994,064,329,381,329,295,766,
951,248,100,969,710,039,054,687,291,533,623,412,249,674,472,357,866,653,152,
306,708,846,387,074,690,365,121,558,919,923,003,048,081,203,980,108,450,420,
692,779,472,703,634,611,585,366,371,326,028,122,898,530,561,100,381,975,375,
611,502,123,295,940,943,387,135,198,172,671,483,061,140,298,376,553,336,177,
204,757,107,350,729,822,797,164,204,063,023,802,010,264,743,798,446,119,062,
320,776,669,881,228,826,442,498,855,157,662,075,796,616,906,105,283,625,258,
580,715,574,975,794,173,673,377,560,270,788,181,302,036,399,262,161,986,423,
790,487,534,520,745,802,468,549,628,646,406,405,969,017,409,520,931,910,541,
584,774,377,136,736,194,594,981,300,257,665,882,721,129,283,823,678,803,506,
501,263,180,492,907,010,546,300,870,518,421,517,295,459,476,932,912,614,488,
311,199,036,185,007,487,498,660,024,800,726,708,470,820,712,523,193,410,640,
255,317,542,040,192,393,604,039,160,298,410,881,430,595,136,727,498,356,902,
817,156,110,337,595,181,036,114,497,078,719,749,609,067,412,598,193,814,244,
331,023,272,818,933,874,154,972,029,086,918,979,424,144,904,658,387,379,301,
016,717,946,811,105,905,064,857,430,333,340,843,126,004,011,400,065,883,454,
985,604,309,058,624,405,717,920,171,191,395,493,223,957,111,625,660,081,872,
685,921,132,196,210,191,473,260,244,163,410,420,377,630,656,097,379,625,324,
747,458,415,732,414,525,598,828,349,102,263,571,573,003,182,018,661,144,106,
208,749,405,563,423,623,747,629,758,754,039,170,498,252,304,347,229,883,645,
421,808,799,332,152,062,356,730,759,419,710,946,547,699,609,758,268,056,651,
815,695,404,892,487,007,102,520,977,452,529,272,210,022,650,077,757,996,114,
655,226,773,257,605,465,329,460,037,929,357,344,245,995,108,831,767,613,146,
129,882,154,421,910,462,094,196,909,583,032,083,922,539,943,655,099,163,309,
371,014,737,960,337,014,752,347,359,612,657,709,506,595,870,310,780,050,527,
275,940,256,653,338,557,840,275,777,248,730,135,783,443,087,600,724,994,404,
506,296,104,094,600,824,458,660,114,968,972,345,346,862,244,600,172,127,834,
068,224,042,776,042,060,687,420,131,411,142,725,231,008,286,011,542,027,350,
863,049,510,621,674,952,411,844,585,131,002,038,768,614,238,734,631,104,869,
529,298,722,099,735,308,987,908,864,417,034,630,176,710,776,590,806,071,981,
653,141,332,103,601,093,494,709,081,783,477,387,614,601,356,586,663,486,610,
789,590,895,514,826,694,819,539,782,048,975,047,242,458,685,464,160,231,224,
602,601,773,487,509,003,315,749,899,368,750,195,238,110,937,055,762,521,110,
786,681,339,195,853,608,977,508,523,742,728,521,189,507,558,827,380,746,887,
639,876,383,852,378,426,257,502,520,701,922,840,694,026,874,203,706,795,966,
454,048,657,255,216,807,136,513,934,209,712,213,368,220,549,009,648,956,773,
601,011,908,264,970,412,670,086,721,135,195,499,098,013,364,986,661,207,975,
377,765,620,567,722,617,329,638,031,834,006,168,551,696,961,295,761,258,340,
233,712,472,833,088,652,853,321,472,850,542,352,692,741,335,359,559,433,292,
469,500,762,653,678,525,430,327,089,650,017,641,441,112,811,501,492,454,734,
055,480,171,199,274,374,383,404,666,956,531,738,917,027,195,254,454,931,627,
931,105,229,223,185,892,382,171,962,342,336,492,493,402,787,355,691,011,469,
855,814,947,308,660,454,636,873,971,291,471,524,788,621,340,119,468,076,824,
428,010,131,157,617,705,125,036,381,826,954,184,857,307,950,226,294,184,443,
329,412,806,063,857,221,901,267,992,060,148,571,374,157,029,071,312,022,068,
125,991,792,096,534,686,176,866,137,621,099,077,373,544,552,938,305,332,597,
626,121,346,651,273,788,077,878,232,479,573,994,675,726,041,077,727,044,682,
721,038,353,028,884,488,278,726,374,218,940,086,947,318,719,797,882,133,987,
861,951,823,188,800,785,790,455,570,602,918,462,395,737,724,321,881,793,718,
308,285,770,784,685,300,074,659,055,266,123,150,229,797,595,636,453,061,966,
546,558,478,445,251,472,190,070,157,950,868,582,742,547,821,661,169,378,416,
049,217,816,622,719,793,607,069,193,467,626,925,378,085,918,736,558,863,409,
778,124,906,829,652,818,062,011,575,358,232,997,498,243,853,879,559,660,352,
430,466,512,443,257,172,684,196,901,849,983,308,632,033,376,876,645,817,360,
284,858,197,797,455,087,228,792,955,591,558,964,402,894,192,948,024,152,371,
808,976,316,951,364,608,513,833,355,633,421,589,481,706,864,482,973,597,104,
237,349,119,072,202,185,027,625,550,511,297,298,910,609,601,895,346,081,327,
567,020,975,254,784,841,572,466,720,429,688,586,325,188,320,797,375,986,586,
251,982,772,370,037,823,514,256,486,079,697,297,602,987,922,213,894,769,270,
956,884,159,707,371,942,376,036,835,414,265,687,745,145,667,511,260,040,596,
148,696,990,322,264,427,850,263,677,748,149,827,745,619,182,060,483,103,421,
295,713,079,620,221,724,071,657,943,561,000,624,614,015,118,384,978,545,285,
319,440,487,359,489,925,789,217,050,604,253,679,396,459,972,176,810,757,026,
658,057,465,726,392,354,352,183,769,143,006,479,506,248,449,757,801,793,759,
382,543,347,895,494,530,468,860,036,601,457,922,239,095,071,755,886,532,507,
923,952,584,618,480,658,338,035,630,373,660,235,950,089,333,342,534,134,278,
328,166,004,055,522,026,081,516,867,014,070,465,683,764,090,982,090,841,388,
328,994,224,846,612,135,393,767,409,630,696,455,214,396,041,087,823,169,228,
569,349,023,189,229,193,702,805,711,463,795,915,129,278,080,031,566,416,993,
371,395,020,922,812,175,876,103,341,657,272,662,045,246,621,049,645,522,949,
217,792,075,273,447,548,688,239,247,291,807,534,572,885,799,582,182,856,502,
931,852,378,349,972,984,034,278,129,406,087,712,680,078,698,921,893,739,316,
479,391,798,411,680,548,872,890,811,127,431,682,064,512,332,287,129,118,261,
440,209,049,945,740,999,308,167,780,224,688,796,819,831,049,510,703,430,062,
684,829,396,444,186,717,887,975,994,034,466,632,390,506,862,490,464,476,423,
908,931,375,243,700,001,343,009,354,266,469,591,722,455,780,058,751,548,102,
063,423,286,314,607,964,342,146,964,744,923,609,074,671,048,261,824,202,399,
408,364,451,899,790,875,115,495,526,689,056,008,003,064,419,387,182,357,279,
818,156,423,094,028,691,402,443,902,814,931,794,252,760,986,966,748,435,020,
170,897,857,441,817,301,443,985,346,333,189,785,243,254,494,881,387,853,887,
071,461,250,138,766,253,771,260,975,001,858,406,176,069,578,090,917,605,880,
654,345,783,914,984,112,874,061,630,832,609,459,785,322,159,570,431,982,898,
674,933,649,426,726,504,101,847,055,327,080,959,465,670,524,540,113,010,935,
448,560,304,332,155,188,766,019,109,823,351,558,696,571,124,231,563,724,196,
088,181,045,266,880,809,685,942,956,019,961,882,008,720,723,807,200,561,485,
802,277,799,440,808,498,230,366,353,199,643,689,828,132,558,188,341,480,412,
466,080,194,309,290,841,817,139,928,729,724,957,422,586,258,864,370,002,630,
627,203,818,380,410,327,447,573,153,418,514,934,325,808,394,561,528,901,939,
715,169,683,057,667,586,719,455,932,457,267,976,476,632,428,137,854,875,562,
250,433,429,851,522,707,113,499,088,290,743,183,439,333,342,332,120,045,245,
817,010,846,879,375,520,809,597,204,210,241,316,627,651,402,699,217,128,081,
977,259,503,135,518,163,714,245,432,074,417,027,023,693,755,007,759,294,750,
865,155,458,463,224,465,424,384,641,424,962,960,818,676,112,411,666,902,379,
610,885,723,179,503,567,349,726,982,671,625,174,366,258,869,669,620,222,156,
420,701,432,084,821,617,781,518,047,796,475,666,307,988,994,107,452,993,998,
744,078,439,743,026,578,586,456,578,593,230,069,656,171,564,230,303,862,723,
725,003,914,309,226,705,410,150,747,804,286,899,262,959,837,604,213,682,569,
837,164,743,518,062,926,710,073,673,026,301,832,744,508,689,465,197,638,347,
710,710,376,562,107,402,818,722,691,802,210,029,541,986,620,028,878,534,877,
435,380,410,192,413,405,819,036,103,994,236,245,116,799,837,897,677,261,837,
095,162,208,353,258,499,832,221,656,932,929,335,742,385,996,131,156,077,764,
328,365,586,231,891,235,930,377,881,232,225,134,540,885,143,295,849,750,572,
921,597,284,282,673,569,587,750,997,457,216,975,520,783,067,150,176,681,187,
712,250,227,144,826,735,875,443,461,889,819,769,953,467,876,654,513,970,173,
380,781,988,090,657,143,000,396,139,436,303,685,599,408,151,710,360,801,695,
490,690,131,533,244,705,292,800,666,124,984,669,799,802,514,155,965,516,305,
085,528,291,288,532,847,234,303,139,411,618,028,573,515,107,582,248,203,571,
647,145,655,860,297,927,818,373,327,648,224,258,330,591,208,729,156,864,234,
770,505,669,593,805,561,164,323,378,324,638,629,436,442,273,480,059,852,045,
557,713,696,091,338,162,936,204,622,600,132,169,524,177,164,702,245,945,348,
778,769,455,906,245,634,779,123,796,706,198,025,365,474,538,139,720,332,847,
141,585,488,649,712,510,301,064,334,835,093,689,766,073,523,735,395,426,582,
206,286,589,627,849,528,358,694,174,508,857,624,676,940,488,102,940,558,126,
274,241,761,743,566,366,572,019,983,179,352,454,592,209,060,896,010,807,315,
700,665,390,235,723,484,914,511,062,776,055,882,106,540,354,036,193,819,722,
753,583,745,872,065,637,833,155,591,662,898,674,125,537,070,854,963,911,796,
751,280,210,939,045,426,435,541,594,917,814,503,383,223,818,161,840,861,180,
210,161,211,325,274,368,842,882,147,231,237,113,133,443,915,908,739,334,903,
834,665,699,296,347,055,475,841,595,455,833,210,917,295,346,570,321,289,061,
386,083,490,749,177,355,133,540,915,839,187,065,241,076,530,467,351,629,653,
814,192,873,990,537,095,228,850,770,176,460,695,810,071,221,977,613,626,800,
760,371,070,643,390,379,876,396,282,402,470,703,229,723,521,047,043,639,030,
218,547,890,757,033,209,024,312,886,902,195,517,780,185,244,084,524,929,397,
177,635,556,665,494,595,626,532,353,021,183,047,574,646,834,759,799,475,756,
623,071,098,497,090,061,654,156,282,703,364,294,895,648,687,734,678,744,710,
448,791,114,394,929,843,447,418,014,516,233,253,191,688,161,978,751,159,503,
890,385,782,310,538,375,081,825,401,024,044,976,493,625,842,870,805,677,562,
387,531,216,529,001,058,843,570,778,617,636,520,730,552,222,107,986,595,891,
123,228,353,963,882,538,257,623,053,504,832,361,148,728,993,494,647,804,426,
071,215,764,587,541,438,569,019,594,686,147,920,022,497,703,187,820,694,660,
101,931,750,196,513,267,707,861,410,867,530,603,335,348,536,544,412,483,205,
143,367,711,151,817,220,483,661,982,649,812,004,904,293,810,900,532,877,975,
045,668,955,475,081,604,875,450,436,362,577,379,457,732,064,371,014,270,887,
945,091,828,698,129,234,711,434,886,370,694,564,736,143,125,355,358,936,935,
478,876,418,006,263,214,946,147,165,705,161,260,200,374,694,962,534,377,673,
802,906,682,730,221,477,499,871,249,687,020,707,234,617,945,578,885,035,289,
232,180,695,439,531,187,534,972,128,561,948,867,196,280,569,746,948,857,384,
418,498,650,788,687,877,886,326,727,427,473,472,203,955,227,314,562,823,190,
544,246,734,019,915,448,295,076,064,794,477,374,888,072,748,526,501,949,960,
774,162,774,685,304,379,412,436,718,120,620,180,953,322,960,881,816,377,402,
606,127,341,233,745,503,466,036,025,201,075,685,942,358,772,495,213,807,491,
628,838,681,763,369,869,316,226,299,266,148,879,434,213,164,148,416,090,852,
462,871,415,304,045,132,483,813,450,486,395,541,106,117,155,331,312,573,347,
959,542,673,685,011,516,553,163,454,092,189,508,650,252,293,113,252,060,978,
297,208,349,264,383,394,811,389,535,042,778,990,402,721,684,168,810,045,888,
189,984,266,753,069,207,513,737,282,007,182,099,644,165,086,939,815,298,092,
661,673,053,585,142,542,307,364,514,832,660,899,527,071,014,518,054,055,365,
851,028,349,884,241,010,003,803,564,014,046,182,066,125,749,279,675,434,424,
088,043,514,546,002,153,278,122,300,905,739,733,174,699,122,786,173,323,317,
348,403,923,421,458,909,456,557,355,726,205,799,356,694,157,824,564,105,796,
177,924,731,670,889,708,721,471,000,996,585,295,405,158,914,958,221,508,266,
672,948,430,310,604,640,964,977,409,798,974,498,362,924,833,677,837,743,823,
510,661,977,963,454,911,273,564,579,576,338,520,736,729,411,242,050,850,772,
166,402,743,797,853,276,912,126,488,183,633,872,053,031,798,113,512,610,337,
172,854,930,520,675,024,900,073,169,314,707,464,696,971,139,892,212,645,840,
554,440,069,094,971,098,731,437,399,953,365,255,697,689,963,594,720,324,561,
560,545,131,230,199,695,656,314,976,759,223,302,335,606,046,194,155,737,985,
371,319,941,898,106,621,899,525,925,023,391,167,502,821,137,979,269,643,937,
496,245,768,693,646,066,827,014,664,548,910,836,708,324,602,524,203,508,157,
799,754,303,479,309,508,415,355,305,069,912,535,465,485,569,585,769,626,179,
245,364,407,185,659,914,258,901,985,071,675,503,212,341,591,541,976,601,900,
402,721,147,062,432,259,800,140,128,941,648,687,126,589,522,185,965,364,896,
769,910,658,578,755,850,993,020,248,011,367,351,161,320,594,295,935,265,472,
485,762,175,495,348,654,038,591,952,318,125,633,692,634,680,891,530,945,996,
920,091,299,169,776,717,926,745,010,341,642,571,285,933,934,460,124,431,653,
121,149,701,118,230,353,946,479,737,501,955,152,046,878,171,480,677,258,984,
019,985,955,920,115,551,450,218,651,301,404,272,041,383,828,688,051,001,768,
462,070,925,200,273,984,864,309,672,000,423,965,298,185,096,880,708,767,870,
759,811,946,288,839,077,611,197,517,071,749,609,303,985,672,543,385,855,038,
106,660,415,540,651,641,630,086,315,732,298,914,729,066,787,994,764,556,024,
111,151,100,698,397,257,145,213,299,082,249,568,716,407,422,407,762,605,838,
479,052,748,029,623,979,492,426,457,563,515,965,489,330,841,308,945,632,060,
098,581,172,922,204,840,915,341,287,009,336,395,564,047,870,186,679,562,154,
172,906,889,298,468,916,028,331,801,888,747,141,644,502,034,368,235,980,167,
428,594,254,109,436,391,980,380,599,457,198,384,219,827,556,944,945,623,309,
123,101,063,117,633,756,336,932,535,747,436,960,514,368,395,565,243,651,631,
980,107,154,296,091,280,427,495,792,817,378,387,619,349,208,847,122,080,563,
096,848,064,548,516,841,854,408,471,747,486,672,963,118,336,202,617,328,506,
073,850,189,495,967,018,138,581,339,765,763,776,211,680,094,489,684,057,162,
655,764,983,337,260,856,762,420,879,802,461,015,558,752,451,906,565,462,538,
730,282,084,303,804,814,839,772,565,062,590,667,280,313,535,857,155,131,156,
075,420,137,811,941,692,975,430,557,738,455,287,167,375,100,541,153,807,814,
441,474,074,129,277,191,253,665,028,065,381,435,687,689,755,946,890,971,727,
540,230,163,687,735,608,007,304,079,887,999,176,047,433,813,053,973,965,974,
197,432,501,922,967,205,548,819,066,498,506,865,697,232,910,441,412,656,936,
424,472,353,706,420,561,058,613,588,128,646,209,630,862,113,902,249,751,396,
090,103,731,588,879,790,476,487,846,090,387,192,456,403,694,566,549,658,975,
185,944,532,637,691,138,272,692,571,356,840,830,207,245,219,610,739,213,459,
595,291,481,414,658,645,132,448,352,640,923,778,810,674,324,868,607,763,369,
213,896,193,770,016,016,290,668,851,342,658,491,211,683,962,486,097,152,713,
518,200,640,468,099,600,183,668,528,964,683,759,194,605,301,441,066,062,684,
808,470,707,752,042,882,620,245,777,010,541,190,251,606,141,629,963,610,889,
912,589,957,542,667,517,930,431,026,577,474,310,175,307,072,127,893,008,516,
667,558,608,676,318,871,118,710,931,360,672,640,378,887,960,846,029,269,253,
013,455,027,091,919,725,638,696,998,260,525,575,184,925,906,705,899,350,938,
678,455,185,253,295,925,119,982,486,927,013,155,131,810,598,340,669,425,297,
065,565,732,791,616,156,973,193,937,035,628,961,119,357,264,954,635,360,958,
239,068,787,878,913,568,165,346,198,901,110,565,374,746,275,651,524,685,093,
774,985,150,937,088,732,463,179,425,551,577,345,498,033,748,498,898,463,933,
073,424,072,884,458,216,265,853,582,029,502,079,383,725,071,451,485,015,922,
156,869,950,695,588,816,604,170,021,193,082,206,764,966,829,311,130,946,440,
814,969,116,238,922,133,584,384,193,087,302,192,169,927,014,137,502,673,036,
586,338,124,498,173,962,337,481,398,225,496,622,531,975,906,805,957,461,198,
313,575,508,142,884,419,285,991,564,813,375,479,318,988,420,013,431,801,781,
317,293,504,009,978,995,920,097,043,171,460,648,122,163,270,170,651,012,730,
635,771,214,664,200,880,464,581,759,010,788,734,606,301,594,195,714,830,681,
859,861,538,699,348,514,888,743,130,361,449,152,996,542,518,256,220,768,470,
179,759,579,597,022,489,285,475,539,007,949,852,051,603,334,414,699,372,283,
288,533,247,524,659,448,724,304,971,249,043,003,254,542,676,842,438,738,075,
549,310,524,797,755,057,421,987,000,107,581,982,239,409,521,212,246,932,715,
161,999,818,066,070,756,132,009,805,794,771,158,901,157,588,816,103,534,192,
823,666,562,303,388,792,502,514,972,901,200,472,136,423,934,572,127,699,760,
567,680,858,892,597,144,732,731,339,406,324,466,467,376,897,671,594,231,705,
069,308,688,618,720,772,615,210,723,666,452,537,750,028,933,748,919,530,138,
946,088,796,816,828,161,483,469,551,169,818,995,311,876,042,704,082,441,086,
129,228,472,525,672,342,209,453,044,936,477,252,562,991,978,891,176,884,526,
809,462,421,172,706,865,964,031,651,012,965,167,805,969,293,227,469,998,492,
671,560,831,974,326,024,808,857,550,437,000,276,248,727,999,837,934,838,240,
677,562,089,571,052,926,956,899,159,326,194,716,942,486,580,242,885,390,265,
980,054,203,502,394,046,957,899,792,236,336,319,970,832,345,582,544,714,755,
527,612,722,108,497,327,803,924,278,880,634,588,331,918,531,838,527,871,243,
480,848,937,758,653,596,074,607,344,171,413,193,819,634,415,106,851,392,486,
397,108,018,131,177,489,776,300,436,676,597,299,885,041,371,175,179,446,622,
930,588,177,202,290,001,586,411,151,968,557,709,567,315,890,815,807,964,390,
221,984,192,834,594,336,035,767,800,187,375,056,520,936,451,910,601,400,054,
074,717,761,253,254,449,446,619,139,504,455,843,281,749,946,206,742,902,470,
049,072,007,287,319,944,521,852,464,103,438,654,445,438,593,863,257,878,093,
734,647,367,135,744,344,349,284,678,385,421,155,733,745,348,070,771,640,039,
148,892,372,733,107,293,647,791,295,378,176,628,682,503,805,132,861,729,007,
334,141,994,618,936,822,751,708,522,962,410,546,229,970,328,580,758,996,246,
997,555,182,528,728,728,498,282,058,724,067,177,598,135,945,608,299,876,306,
131,499,049,997,140,665,527,518,464,677,394,036,403,836,559,067,115,450,508,
659,487,170,009,472,991,695,051,215,316,432,550,494,198,928,382,582,886,608,
420,659,711,149,481,056,350,329,751,217,992,992,335,586,311,737,016,891,115,
549,048,848,165,133,610,145,935,980,926,103,649,431,411,723,313,715,876,119,
623,502,886,892,045,203,091,277,233,019,402,177,845,069,587,414,344,793,336,
992,012,721,599,876,668,367,828,657,245,169,650,349,589,378,004,793,566,407,
011,914,934,888,900,356,412,830,925,158,798,155,160,771,163,312,890,325,037,
555,941,533,570,356,886,982,157,773,260,662,877,600,490,457,156,858,836,483,
325,870,022,525,521,585,937,006,749,885,080,103,118,461,197,286,010,404,890,
283,181,761,408,690,346,096,812,497,009,451,891,598,828,372,768,418,937,936,
161,589,073,788,522,599,080,256,173,920,704,453,369,820,827,489,280,058,860,
706,863,023,860,382,216,492,361,129,043,294,697,498,673,573,546,969,285,000,
925,778,696,891,330,237,245,890,062,528,213,941,771,883,602,974,464,582,967,
630,895,854,509,372,781,335,311,985,355,347,019,537,735,368,912,170,307,710,
005,030,314,519,531,424,915,803,524,400,649,084,644,523,325,408,825,958,211,
601,516,391,077,110,933,705,596,089,989,507,236,431,236,219,768,959,714,691,
674,792,080,776,982,435,212,679,670,627,487,891,626,074,274,356,895,843,449,
874,160,531,708,188,015,622,264,382,083,888,152,971,757,649,273,339,835,120,
027,206,878,369,463,443,074,676,940,118,256,680,069,402,470,989,452,952,530,
950,592,283,110,624,468,504,614,300,040,253,309,440,969,524,117,970,937,505,
936,508,103,987,406,509,508,015,972,953,997,292,713,648,820,568,054,836,864,
959,434,829,307,664,748,350,611,336,624,998,753,739,348,269,854,935,513,383,
145,927,104,429,086,094,039,490,694,058,483,535,872,274,977,997,571,015,919,
198,819,859,533,304,504,205,232,213,851,378,461,730,085,327,822,073,303,653,
146,606,271,210,147,746,292,448,976,136,972,221,618,316,456,108,014,208,953,
715,228,067,513,784,122,427,807,444,863,127,336,106,633,498,416,194,972,821,
288,780,925,651,074,191,157,406,722,296,540,691,581,939,070,125,728,355,235,
775,887,506,715,074,319,624,054,548,128,303,445,348,797,939,990,048,735,298,
168,338,965,393,035,236,810,773,404,863,531,502,638,332,992,857,381,857,984,
701,332,415,981,603,860,668,074,243,450,643,810,807,000,917,341,218,100,760,
687,297,518,129,267,031,893,490,408,542,049,477,630,840,809,685,197,554,110,
824,164,697,252,819,911,265,927,860,646,806,929,502,528,605,597,213,840,897,
379,454,637,284,656,822,423,525,049,613,688,980,226,520,724,269,294,289,689,
931,058,308,794,721,649,504,979,655,710,815,859,362,491,582,401,572,917,668,
724,522,549,842,129,409,472,212,156,798,149,602,443,172,734,986,613,432,581,
833,113,881,789,688,734,425,342,399,398,036,396,065,201,505,707,844,272,596,
824,933,740,834,281,191,935,923,856,419,854,703,942,996,413,212,326,786,355,
111,152,285,489,854,930,965,501,100,421,490,535,102,097,033,233,022,633,214,
306,086,402,213,172,128,171,558,259,868,907,075,984,323,111,537,943,984,230,
182,597,636,830,026,861,221,831,500,667,665,849,071,054,346,450,270,713,987,
315,752,838,381,530,718,660,047,138,435,352,147,275,073,516,461,816,700,060,
847,264,824,131,079,917,795,941,202,774,720,614,394,270,390,335,791,953,818,
911,588,204,974,188,619,951,914,782,466,961,081,713,578,444,834,076,178,089,
076,827,814,694,211,251,219,058,447,166,197,797,808,957,594,339,474,577,897,
865,041,442,116,875,554,348,682,453,862,815,441,904,581,398,625,156,907,252,
295,496,237,915,280,737,943,327,052,201,483,012,151,694,173,593,060,784,259,
446,152,746,331,042,660,753,622,264,464,623,433,643,013,804,339,087,584,962,
631,264,352,095,062,675,986,300,797,278,436,192,867,782,169,495,691,166,740,
568,167,364,154,820,092,236,021,251,273,631,887,363,898,573,553,784,915,694,
618,723,389,937,567,117,154,088,370,176,050,497,284,983,011,426,286,100,076,
200,052,797,112,714,018,236,443,449,806,784,250,475,434,616,970,675,080,931,
873,679,065,837,891,608,413,764,310,463,662,355,695,296,353,381,968,964,851,
765,282,115,139,349,127,365,274,768,543,559,217,588,747,108,541,618,410,855,
693,678,059,884,065,173,740,060,873,644,611,279,493,940,549,588,990,690,847,
656,728,608,052,356,769,630,617,468,438,762,798,260,758,554,397,268,094,441,
181,247,305,231,804,285,680,925,334,777,058,702,691,339,912,141,705,472,426,
664,445,364,106,446,822,076,873,580,346,220,022,330,114,635,991,422,107,575,
069,074,095,223,382,082,979,416,228,623,611,949,620,202,342,060,094,057,313,
182,687,356,563,626,639,528,171,782,012,067,044,184,848,184,748,062,124,826,
797,996,680,173,678,704,516,347,143,481,452,220,261,553,452,422,432,089,252,
662,541,796,127,803,227,633,015,916,173,181,692,520,586,427,930,484,493,501,
058,661,574,686,962,097,962,271,355,786,303,110,007,997,523,265,604,672,144,
986,105,497,854,217,593,129,562,926,367,088,810,743,223,766,126,053,324,886,
826,692,860,725,494,390,332,852,518,984,193,521,667,793,864,552,140,674,015,
196,763,573,283,812,380,719,868,445,446,628,377,499,607,567,463,137,953,745,
920,665,184,864,392,535,876,648,129,641,173,370,661,538,878,320,140,253,866,
796,791,399,585,833,802,536,632,984,664,424,244,967,201,623,937,944,059,511,
650,572,946,845,293,343,224,517,429,974,052,773,035,354,954,206,907,030,827,
794,184,668,629,134,570,759,191,388,336,317,720,532,465,123,523,531,673,681,
294,208,558,539,232,750,499,109,728,250,187,370,502,107,321,940,286,707,231,
251,558,177,556,196,232,164,078,684,174,885,094,293,150,682,367,462,262,395,
711,861,400,050,767,915,160,908,097,613,515,824,893,384,124,051,675,252,921,
791,111,807,359,885,649,186,023,355,905,519,621,213,719,085,009,792,089,540,
688,822,323,903,005,173,805,110,706,191,764,973,086,070,170,954,138,450,789,
140,220,839,537,205,069,626,607,840,362,085,713,446,821,368,497,295,808,604,
128,367,750,468,484,971,468,253,360,564,596,127,290,165,628,298,159,781,923,
180,103,263,646,017,834,307,183,664,270,611,871,336,054,319,730,393,666,351,
308,320,729,175,699,074,690,264,832,737,136,814,674,152,918,749,586,345,276,
781,839,805,898,986,684,221,986,724,944,908,000,813,405,854,369,715,457,060,
870,691,962,026,433,666,620,065,111,523,313,358,347,811,461,893,497,792,223,
929,638,603,214,715,060,744,483,706,308,292,584,180,461,653,311,840,901,350,
541,356,242,464,520,032,898,745,433,509,489,990,635,472,436,780,864,547,236,
303,164,225,558,241,998,701,359,089,384,387,522,261,072,315,860,042,219,190,
224,417,807,807,151,747,381,277,148,778,821,529,328,678,990,948,172,817,051,
177,158,737,811,913,463,683,938,836,966,400,046,840,974,988,929,437,944,428,
409,222,101,431,622,185,272,713,917,096,515,461,938,080,458,838,515,443,929,
208,217,809,947,581,274,368,255,145,029,189,636,550,297,143,847,965,991,858,
235,995,592,277,503,427,123,643,318,128,354,262,041,007,224,187,768,910,618,
888,940,067,560,171,221,128,320,997,810,672,105,550,340,768,841,445,786,629,
917,690,661,131,237,974,559,474,723,297,771,209,717,982,747,352,351,062,402,
183,023,045,999,225,104,739,075,032,852,614,523,610,509,218,974,073,517,914,
335,310,360,838,740,644,745,773,384,031,927,939,200,099,961,186,312,438,714,
731,671,128,613,178,755,029,062,956,580,610,011,011,969,656,899,063,363,759,
976,210,975,408,759,360,799,514,536,722,519,445,812,915,146,044,667,235,811,
761,042,536,212,089,875,233,473,114,999,615,686,561,721,886,885,790,259,327,
129,259,051,559,980,523,611,678,249,914,056,108,824,494,360,116,253,316,442,
287,976,913,885,066,774,899,155,550,698,545,001,677,811,295,318,580,792,304,
219,163,105,052,584,706,489,628,851,468,839,776,322,681,641,949,859,717,357,
297,454,499,520,797,230,201,754,978,716,789,887,288,420,823,643,992,673,169,
146,439,989,049,101,316,390,350,509,461,147,176,092,652,866,937,401,456,213,
809,688,599,553,753,386,439,728,116,565,852,796,052,323,579,973,266,018,890,
142,354,903,516,571,348,022,182,025,661,927,794,332,900,897,352,326,648,768,
450,673,089,213,676,376,312,816,939,318,585,348,500,092,046,015,168,848,440,
480,529,517,976,372,704,321,102,345,694,459,844,423,107,058,440,970,163,181,
664,088,922,035,773,508,237,319,246,591,258,212,816,906,084,242,342,485,156,
425,467,717,960,346,374,325,920,343,719,803,119,151,362,029,059,573,337,618,
986,108,740,382,463,989,422,673,230,607,008,798,264,227,379,940,358,015,607,
931,370,846,272,747,243,555,396,899,075,286,194,468,973,980,513,223,598,355,
737,814,495,847,110,043,095,538,631,184,806,705,193,335,101,926,906,129,362,
640,071,546,734,070,081,194,721,235,341,849,312,253,236,494,058,056,935,727,
144,257,618,933,227,618,380,625,052,730,318,449,275,536,097,195,548,522,648,
458,241,699,929,270,856,336,742,516,988,586,093,949,816,169,495,872,207,832,
004,226,858,380,824,797,099,255,357,331,238,908,107,660,620,335,673,566,948,
691,125,468,457,433,387,029,136,087,866,981,158,809,390,039,636,220,867,956,
068,630,341,610,441,799,182,471,424,178,917,646,516,715,750,856,039,522,462,
719,737,920,314,331,300,392,000,971,556,827,572,426,732,250,224,095,961,051,
747,582,444,455,907,225,774,558,027,565,833,838,461,974,548,743,413,866,470,
811,922,381,705,308,991,642,509,442,486,430,776,907,191,871,620,353,953,781,
700,597,603,950,755,546,942,280,647,166,076,269,507,672,006,082,538,770,967,
907,877,349,365,780,265,288,207,797,326,498,953,632,875,290,313,417,457,866,
000,468,774,050,350,927,453,675,186,554,452,301,864,879,585,338,821,232,473,
412,421,525,004,237,553,000,029,862,972,946,965,212,352,174,604,615,962,315,
411,442,141,300,962,534,338,388,711,414,661,559,242,131,131,898,541,680,840,
156,862,262,552,074,978,365,906,766,654,487,873,067,150,115,315,787,008,411,
119,102,205,529,242,499,352,267,885,065,477,547,427,888,758,979,319,115,740,
319,093,328,250,326,063,772,880,197,850,035,025,774,847,117,299,681,337,105,
113,572,980,018,194,210,738,186,892,218,678,029,900,526,437,913,932,492,546,
707,701,678,161,593,007,944,364,551,232,903,687,022,445,577,688,640,042,612,
237,550,469,781,967,793,150,055,437,591,968,842,119,078,310,346,988,930,053,
153,104,294,867,973,478,087,364,865,002,474,033,182,976,627,940,429,249,610,
695,662,670,995,081,338,295,769,106,769,472,105,169,982,001,350,458,698,375,
919,533,806,084,112,686,256,649,546,393,350,686,929,151,888,040,962,983,364,
172,062,944,068,388,621,702,992,560,241,689,117,760,060,562,403,014,850,612,
185,751,755,122,816,526,295,216,159,141,962,479,264,409,572,298,472,278,830,
298,096,966,728,368,539,855,049,679,340,228,174,735,617,244,541,742,534,979,
716,509,211,436,286,020,362,842,791,685,720,019,293,506,949,043,395,420,926,
691,330,754,099,911,102,645,488,798,500,125,803,082,027,986,774,914,186,550,
200,615,067,883,109,916,519,265,514,364,201,967,473,156,733,202,393,416,530,
433,826,705,217,663,891,576,416,366,331,302,423,888,113,466,792,281,568,227,
230,878,633,139,032,075,455,230,780,304,781,341,144,166,045,666,633,587,234,
400,539,287,039,024,140,703,963,999,856,782,247,702,000,895,741,535,173,572,
080,541,034,733,765,509,092,363,568,025,021,681,495,983,950,474,919,882,691,
084,624,214,518,793,484,722,068,708,287,287,299,526,766,430,891,653,478,173,
496,109,237,620,615,310,440,286,006,005,785,460,015,900,533,508,609,219,371,
907,438,146,285,735,299,914,503,646,328,763,887,541,159,345,967,434,480,659,
295,693,089,650,516,531,745,554,476,117,434,134,567,605,779,004,570,367,913,
311,244,219,334,382,888,830,975,978,555,704,589,477,903,449,479,946,481,545,
568,612,745,306,896,685,442,051,437,459,811,200,714,305,356,792,516,340,079,
768,530,247,299,148,140,882,190,286,669,280,756,847,457,857,943,323,633,826,
750,883,954,006,969,136,521,903,883,881,352,161,182,042,460,877,523,254,580,
065,742,499,957,392,121,106,114,599,580,753,825,789,971,596,810,217,363,279,
032,713,936,716,721,169,828,362,104,916,071,154,803,874,280,487,237,549,271,
609,496,551,672,600,687,900,009,656,523,639,702,144,026,639,567,143,664,513,
229,986,427,470,159,844,413,466,891,342,096,849,214,749,994,798,065,934,892,
795,507,679,071,828,493,118,546,786,451,673,937,567,848,676,011,599,676,574,
508,724,102,640,999,046,037,997,813,248,183,560,306,588,124,682,981,557,563,
300,742,562,278,703,967,443,022,949,624,804,328,604,423,865,949,263,097,641,
965,853,256,217,988,958,391,073,274,848,854,867,139,717,469,767,562,837,351,
175,630,667,112,893,971,171,705,983,542,447,797,042,419,831,454,947,282,752,
987,293,617,243,511,810,861,787,131,818,960,709,496,523,780,141,122,303,546,
493,066,576,345,231,500,244,303,466,525,381,186,458,852,925,783,748,157,307,
819,077,560,046,955,548,784,985,916,406,421,373,999,166,794,792,127,354,475,
726,576,599,571,230,459,112,909,913,853,459,299,299,902,691,380,591,984,081,
500,459,419,275,137,426,892,715,098,501,985,239,797,381,012,485,322,851,002,
541,738,014,730,721,324,721,842,230,679,354,672,591,313,882,927,453,505,673,
005,430,032,439,992,777,446,015,175,231,433,179,555,971,494,930,354,560,079,
696,746,651,314,733,107,204,395,728,378,461,980,493,036,790,079,567,475,351,
336,053,273,303,611,847,918,028,375,713,471,730,202,411,261,128,359,140,562,
998,163,900,924,133,384,384,590,186,474,519,475,890,423,816,649,286,213,459,
904,616,535,615,700,450,961,382,990,039,297,303,253,500,373,492,652,033,878,
351,338,808,322,839,600,020,590,672,492,490,127,042,928,661,490,127,426,625,
784,795,157,754,840,181,661,966,004,896,521,518,949,758,907,031,090,916,736,
360,920,595,201,404,643,043,262,925,267,077,633,254,299,898,914,520,229,324,
795,321,277,597,165,426,253,688,797,574,066,607,349,334,646,122,095,695,251,
324,007,279,188,529,435,950,609,392,966,330,676,262,199,485,866,148,825,404,
557,731,166,684,538,869,956,062,055,684,543,741,856,431,764,067,417,604,921,
668,998,045,490,158,884,447,227,588,850,294,711,071,069,594,924,187,348,676,
624,531,962,988,163,052,053,625,001,176,151,759,962,124,689,611,392,078,796,
717,876,759,565,607,716,402,483,617,868,402,696,574,331,212,627,775,695,198,
267,179,930,622,206,680,417,247,081,972,754,533,011,689,497,762,068,488,054,
847,385,798,167,661,045,536,890,219,596,490,870,129,217,687,216,781,335,376,
877,687,148,482,302,564,186,088,542,597,713,500,607,395,906,819,586,078,249,
038,946,356,294,843,224,552,365,992,285,443,205,519,153,987,996,015,395,278,
371,792,757,966,272,799,053,414,483,461,275,209,747,727,066,227,068,127,831,
415,136,917,463,446,789,399,819,899,368,623,061,045,534,562,823,017,328,235,
187,635,920,513,224,762,364,625,477,833,209,724,459,765,185,561,382,006,625,
758,631,395,233,078,864,078,538,876,966,898,599,610,978,974,364,117,813,399,
867,760,115,618,252,937,009,857,607,332,660,942,753,773,396,612,862,368,712,
338,603,579,726,079,705,495,236,527,895,656,976,948,636,560,081,854,321,014,
119,886,718,914,653,277,773,934,490,378,435,760,170,060,688,975,910,101,584,
194,814,062,740,472,478,859,722,272,724,110,052,372,940,427,231,036,167,050,
810,086,073,170,332,293,050,047,912,947,546,873,052,098,382,340,871,205,981,
553,195,854,652,531,648,021,514,905,481,996,729,147,180,070,820,119,934,129,
047,224,993,188,583,356,412,562,183,126,117,975,468,687,123,126,797,425,574,
429,500,708,283,394,135,044,905,068,796,662,103,266,313,381,452,227,221,065,
512,047,867,009,807,069,487,204,214,886,832,955,400,937,825,797,875,811,545,
022,835,099,325,705,628,799,700,479,491,997,659,063,987,245,356,676,575,911,
087,189,804,646,185,595,319,918,972,235,111,661,933,269,689,004,598,926,333,
281,777,558,242,767,076,090,626,317,810,217,705,976,783,369,248,086,581,410,
583,550,688,874,168,364,259,567,580,713,240,810,090,182,696,964,217,953,939,
111,005,950,138,454,516,643,374,044,785,407,308,186,577,381,014,163,149,444,
309,259,823,603,497,521,202,564,120,677,079,825,797,968,532,182,755,700,320,
120,132,361,458,315,205,198,693,716,136,253,711,360,838,158,928,350,628,289,
114,532,072,835,941,149,406,170,290,281,164,236,253,009,710,482,221,777,257,
455,846,466,075,076,896,985,672,329,157,558,514,506,375,780,209,230,482,653,
793,331,569,534,703,746,029,709,189,890,407,595,362,727,182,553,378,032,114,
910,389,317,113,383,104,157,367,682,522,539,100,007,605,945,122,667,890,387,
492,437,167,181,584,348,081,419,214,037,331,136,679,556,178,513,740,386,719,
382,813,282,781,303,364,397,755,348,611,879,669,093,708,717,070,987,912,313,
307,202,240,342,922,600,453,516,339,064,945,769,847,791,204,308,041,276,053,
439,119,508,769,548,059,430,133,051,099,320,198,798,201,068,407,292,642,330,
384,725,984,629,925,389,759,629,324,146,062,832,934,450,445,844,792,317,328,
337,698,885,175,319,238,655,842,786,237,151,656,488,077,693,641,466,863,273,
981,933,975,728,849,215,962,618,110,510,695,738,581,984,684,753,876,674,546,
311,294,847,158,677,053,350,570,224,912,244,525,016,570,632,777,576,785,997,
731,926,069,861,937,530,445,374,258,185,217,923,568,256,690,181,714,989,907,
875,123,295,956,728,711,323,986,419,610,979,311,141,794,938,749,372,547,670,
531,638,134,827,222,659,836,076,633,885,419,435,676,161,351,518,513,849,436,
842,794,483,943,332,257,237,930,507,301,700,226,426,363,750,493,588,593,950,
001,371,085,572,166,101,191,275,276,723,127,642,560,485,291,651,247,823,659,
406,919,606,858,572,995,879,460,439,645,423,362,008,295,171,123,414,796,471,
283,882,328,742,728,387,708,739,455,270,711,874,081,966,772,575,654,989,645,
994,786,836,416,351,959,771,882,016,746,035,719,894,668,688,855,343,677,159,
427,423,564,630,878,554,018,665,111,992,377,031,539,923,573,310,812,258,066,
671,034,787,547,573,691,177,460,913,818,867,176,786,031,655,293,626,030,176,
495,850,902,421,178,472,553,267,573,974,673,575,594,561,778,272,339,061,218,
540,512,389,380,113,318,609,859,461,666,167,911,075,960,838,088,674,178,200,
788,315,480,378,802,227,981,326,904,595,475,427,098,821,369,947,110,842,028,
792,480,145,164,084,399,561,426,154,550,261,919,347,520,120,074,339,780,143,
756,934,269,336,793,550,692,502,637,150,100,587,698,211,132,542,943,185,615,
937,608,943,903,029,351,019,443,614,235,685,137,627,764,412,361,899,586,866,
149,194,673,784,458,663,388,251,808,228,502,094,310,071,566,922,666,498,605,
548,769,797,501,935,766,319,531,125,528,395,383,614,915,563,299,459,353,438,
309,329,466,629,173,060,308,298,860,316,097,904,194,621,082,320,959,330,483,
921,659,200,200,505,487,029,822,547,286,301,854,879,339,150,785,643,435,088,
230,108,122,930,550,126,290,539,086,491,028,169,909,830,878,391,530,318,869,
317,644,709,039,999,485,710,301,755,427,815,719,345,551,532,399,190,457,357,
598,455,148,200,881,547,553,867,579,658,006,199,833,577,175,665,369,371,135,
768,447,453,674,596,931,667,051,958,741,390,276,776,466,909,546,205,541,056,
877,729,761,080,191,879,240,579,163,844,777,925,802,367,846,358,816,934,868,
820,118,485,693,996,547,586,245,487,229,058,081,706,237,112,015,248,690,530,
294,429,479,593,405,282,897,483,721,368,268,003,482,914,921,907,324,276,840,
103,361,875,932,210,487,628,945,736,568,862,986,661,674,648,719,247,693,425,
252,878,151,808,142,623,376,708,390,802,497,342,143,306,623,730,452,455,345,
592,103,382,239,904,617,134,983,666,986,680,288,125,186,661,035,670,270,350,
624,138,639,443,870,489,435,790,117,838,031,110,560,409,538,863,034,288,749,
729,627,633,479,614,007,609,900,950,769,923,245,149,942,406,311,475,618,089,
419,729,269,635,556,720,086,189,104,290,966,703,029,531,197,847,917,980,296,
787,276,829,968,023,030,934,196,195,031,252,076,688,552,078,742,908,389,354,
213,675,704,050,832,362,814,484,946,635,642,526,679,053,245,064,356,832,672,
006,391,969,371,755,058,861,836,760,355,204,597,145,540,652,249,908,454,794,
436,115,524,852,667,489,486,965,377,903,598,521,513,267,336,083,002,595,844,
124,045,075,635,778,280,166,435,879,684,312,171,892,398,751,631,501,420,831,
924,356,861,936,886,279,992,809,843,328,109,831,088,623,294,792,386,072,319,
979,774,757,271,269,194,669,901,243,093,540,668,245,818,065,475,571,700,247,
491,699,144,521,839,706,615,941,743,136,821,835,197,944,203,183,718,075,589,
058,139,164,965,921,288,709,627,466,146,407,269,041,929,970,907,419,519,100,
495,092,717,421,671,165,488,362,815,517,873,123,007,801,955,785,823,057,852,
978,693,033,736,451,195,807,189,224,543,734,642,334,014,152,227,487,978,357,
524,661,848,273,743,073,153,711,318,385,165,633,556,245,504,268,448,099,732,
051,074,422,766,933,048,392,557,507,507,859,787,118,189,744,404,919,602,126,
141,993,135,068,117,035,858,873,456,412,303,499,237,578,772,053,673,673,845,
278,314,615,247,053,377,112,285,443,300,658,355,087,819,911,730,973,915,281,
661,667,875,313,470,946,588,341,137,228,647,788,363,499,807,031,242,371,872,
206,564,315,491,540,436,672,686,328,289,435,915,996,390,450,568,897,447,220,
326,701,096,225,884,734,072,739,992,356,977,754,512,215,334,560,404,519,747,
859,318,987,429,798,056,754,931,067,569,390,498,917,532,623,773,857,331,641,
972,252,092,178,277,114,463,111,776,365,381,961,651,597,556,591,716,936,591,
938,840,382,467,643,690,216,489,948,631,247,194,866,259,392,873,070,679,831,
849,217,772,682,464,811,210,085,463,773,932,418,363,381,451,379,329,911,136,
032,660,616,412,309,603,092,808,149,450,947,765,014,899,995,628,299,224,052,
093,701,179,676,436,633,928,382,300,639,766,524,725,906,940,774,058,099,390,
515,959,674,887,090,670,937,555,567,086,268,299,194,139,225,412,759,023,000,
026,436,160,147,717,108,782,611,664,061,226,469,795,770,193,427,161,509,374,
253,145,206,384,775,301,345,793,605,292,433,394,727,238,018,779,007,598,703,
150,935,778,353,250,252,689,789,275,136,926,724,171,515,003,153,267,455,874,
977,891,781,813,252,468,404,547,580,137,315,153,453,874,381,647,771,786,707,
171,279,713,014,169,075,968,713,128,719,240,753,643,977,668,127,480,610,820,
380,589,101,728,376,970,647,576,779,769,323,661,964,105,624,260,951,255,724,
299,002,572,502,789,442,930,844,507,863,598,887,989,811,384,146,747,334,451,
468,543,933,149,780,028,674,540,787,219,235,719,695,948,602,139,639,422,475,
848,507,619,251,233,512,560,639,667,347,510,681,738,785,781,054,853,059,206,
063,473,352,680,184,192,451,276,628,182,849,443,611,055,456,428,439,635,073,
918,556,061,028,614,346,414,846,100,582,045,856,763,099,994,199,770,343,386,
789,180,791,580,300,937,496,093,384,569,392,212,201,580,290,746,871,041,416,
358,932,844,631,516,121,354,752,675,744,391,864,157,254,120,014,702,974,248,
936,738,916,575,554,712,063,645,450,925,189,927,949,942,747,154,267,664,417,
022,906,579,422,854,097,892,726,047,158,253,540,475,555,540,257,165,634,526,
403,390,468,961,655,866,000,669,514,202,890,819,262,017,707,215,098,452,786,
694,279,343,850,655,127,724,702,959,152,413,901,978,736,746,887,863,246,621,
771,894,552,243,684,378,495,430,813,896,622,047,852,262,619,588,251,018,694,
435,396,498,881,589,621,249,107,758,823,137,832,912,430,079,676,719,217,952,
473,784,363,959,837,713,785,412,342,022,197,911,736,674,488,160,232,203,898,
403,913,009,196,913,993,893,781,776,218,624,359,313,023,628,913,896,533,448,
761,854,675,974,317,999,669,488,779,872,335,921,301,472,191,224,698,946,975,
352,332,269,610,843,975,361,788,860,804,087,469,926,549,509,671,189,757,379,
117,451,095,516,759,607,898,656,499,089,413,841,405,053,922,161,955,291,205,
587,949,046,117,615,928,084,869,964,711,276,371,443,296,431,571,418,775,391,
191,089,010,744,227,849,565,773,578,745,698,063,203,775,469,237,044,642,410,
196,372,718,285,775,330,692,336,989,966,072,804,909,042,764,169,920,136,903,
476,774,579,206,792,158,973,887,471,018,745,183,564,302,555,101,770,546,987,
507,192,324,421,664,418,505,735,450,302,525,389,135,449,740,820,614,031,856,
914,229,960,089,900,661,257,992,015,614,897,071,301,522,600,520,012,441,686,
201,572,733,824,423,099,009,231,701,022,378,416,931,949,071,587,388,673,957,
405,287,817,745,955,301,790,108,262,784,292,797,232,620,727,517,496,292,919,
367,599,683,966,024,018,522,878,194,289,301,844,441,478,833,408,456,534,481,
592,779,928,850,451,231,426,198,230,389,812,298,681,844,736,150,289,254,864,
979,070,065,490,081,993,857,566,326,245,072,300,093,530,882,658,481,849,807,
138,557,738,684,351,230,931,604,367,264,578,419,195,577,311,444,850,015,644,
364,854,854,832,907,172,366,736,630,263,934,160,869,691,484,751,863,583,846,
292,676,224,120,334,997,285,330,230,732,714,492,135,207,665,151,941,123,733,
567,928,371,650,334,784,503,534,980,633,875,721,822,929,880,031,912,560,710,
311,780,971,311,021,199,279,539,010,735,608,297,401,733,791,256,192,687,986,
507,369,031,663,867,162,218,908,933,711,814,015,548,899,106,513,769,310,205,
305,912,559,150,052,683,562,105,522,827,952,096,253,029,249,120,919,919,803,
257,349,970,640,165,110,683,535,882,282,680,922,175,086,695,514,945,141,203,
817,992,743,941,212,416,138,507,244,783,631,040,395,710,291,090,913,322,325,
914,562,604,607,259,230,104,831,008,212,265,992,835,869,685,653,926,316,224,
933,008,413,876,972,020,333,391,266,344,464,137,051,109,823,841,828,181,693,
620,311,510,984,810,575,917,465,722,681,348,833,906,820,110,352,320,860,946,
829,649,466,985,680,857,612,245,623,932,087,283,168,805,728,106,933,525,423,
486,701,433,909,788,158,787,969,114,156,449,562,693,844,698,303,047,282,161,
600,439,129,194,162,646,721,297,162,456,102,969,525,281,256,225,204,899,044,
445,716,388,646,046,912,592,252,143,064,561,406,117,036,264,096,239,854,827,
597,725,958,800,727,667,269,898,845,163,347,302,447,780,085,866,152,272,701,
269,070,915,649,426,140,551,766,804,773,871,195,644,603,231,377,000,645,179,
742,635,887,516,095,536,986,709,549,396,206,928,853,354,136,846,718,132,632,
818,422,186,191,725,565,569,459,828,738,377,497,403,016,599,086,357,521,032,
360,769,423,130,371,409,301,228,604,746,468,758,740,868,700,046,493,054,900,
219,372,418,595,308,620,951,421,308,648,459,363,202,073,406,248,665,680,838,
414,649,145,382,189,305,836,495,554,839,893,948,795,380,483,238,902,686,348,
167,107,924,192,611,160,171,680,667,138,835,315,608,910,648,839,252,909,992,
808,470,611,786,072,594,094,260,319,828,089,207,186,515,675,404,107,252,208,
385,005,380,475,155,881,612,837,443,594,318,663,754,481,953,901,358,923,699,
930,462,896,876,561,492,635,544,892,111,836,890,682,178,831,708,186,698,243,
838,193,432,461,678,346,672,551,700,073,063,076,809,601,215,250,754,054,692,
708,833,600,831,083,784,986,183,824,012,027,871,402,029,625,121,678,834,355,
935,514,866,384,316,416,089,467,563,211,529,318,238,372,090,238,559,128,657,
257,094,162,210,863,080,570,519,478,923,662,819,784,736,215,353,719,858,978,
344,650,983,037,876,573,171,106,363,158,979,381,776,109,167,662,734,482,060,
667,007,510,952,659,938,817,963,690,061,922,224,268,839,691,833,222,603,202,
131,621,256,315,366,637,518,108,160,885,911,343,580,236,648,625,207,896,775,
652,915,413,063,448,954,941,055,775,845,343,537,023,946,998,869,926,884,269,
900,145,565,230,378,250,849,723,481,180,555,496,136,875,212,996,188,776,880,
397,067,755,207,614,793,474,199,068,983,762,719,712,948,015,175,358,864,135,
753,710,259,102,415,268,115,386,931,371,042,469,157,025,652,490,912,193,365,
314,873,702,892,044,372,062,400,649,561,373,219,819,807,399,771,481,186,240,
351,499,643,131,543,976,178,073,830,266,459,137,155,027,641,659,112,861,367,
213,870,402,371,850,003,821,205,278,530,444,138,405,180,023,345,612,575,142,
198,289,598,348,300,282,012,353,945,069,520,236,401,332,441,509,906,767,566,
738,135,616,409,546,040,443,269,731,983,562,705,811,395,888,644,710,399,294,
951,589,116,436,874,277,453,543,904,933,821,075,736,512,754,021,534,259,436,
362,672,437,369,995,943,369,449,226,762,874,838,989,727,637,348,945,302,234,
822,191,836,672,762,137,063,672,275,381,541,011,222,413,111,217,697,816,977,
669,416,508,579,075,692,509,337,517,859,273,808,477,130,191,288,694,481,871,
414,655,809,022,983,654,919,260,015,554,011,471,688,475,677,412,599,411,951,
555,651,780,519,560,364,493,659,720,245,213,857,774,115,649,882,512,450,757,
552,055,434,236,874,737,413,237,461,553,562,372,108,409,830,188,116,483,177,
414,827,193,247,428,288,605,016,309,448,548,762,268,396,669,182,450,604,266,
848,244,189,896,253,394,493,679,535,950,190,948,729,588,887,689,648,381,101,
637,619,918,373,396,047,196,271,817,355,183,792,755,113,786,060,344,418,412,
287,964,704,518,335,144,817,790,558,196,561,180,315,916,485,139,940,573,916,
125,681,594,733,563,116,242,892,754,383,678,195,303,831,609,083,107,854,255,
467,783,195,703,028,375,439,919,824,643,479,688,633,605,831,189,189,986,776,
148,184,310,356,202,221,818,738,806,327,244,988,057,950,369,299,837,958,542,
598,517,100,171,010,813,178,624,330,213,862,458,614,464,270,389,510,999,031,
397,591,546,329,938,841,923,838,682,112,481,249,974,873,286,078,319,349,951,
513,986,672,581,377,202,755,712,440,594,317,628,834,891,526,014,918,170,055,
805,222,803,257,656,310,202,094,104,972,461,303,762,103,052,739,023,729,206,
393,196,287,765,686,929,157,873,760,401,016,435,615,731,147,783,947,886,680,
960,557,039,302,071,067,801,074,621,134,862,978,709,242,258,840,796,103,261,
493,274,603,609,737,132,103,604,866,946,769,004,194,758,889,662,443,224,083,
249,429,148,237,347,970,863,818,682,940,628,626,107,280,347,957,504,305,526,
876,013,010,712,943,291,136,637,349,267,635,557,020,596,607,062,484,594,186,
191,397,692,073,756,584,662,404,179,443,981,488,021,231,024,588,328,258,939,
448,331,339,587,109,435,478,368,323,108,487,587,443,543,800,530,439,945,276,
464,895,135,023,716,842,317,695,467,029,494,943,227,269,607,408,224,807,984,
157,826,488,529,156,460,073,802,652,422,777,676,252,402,972,457,007,699,624,
199,257,178,623,054,055,203,181,913,773,251,386,027,222,132,603,970,078,485,
064,424,837,014,698,552,059,542,234,315,188,570,650,365,214,821,865,954,305,
069,452,312,347,000,577,884,427,481,039,253,533,612,199,072,669,747,117,463,
309,474,236,695,814,528,203,223,535,172,869,248,013,974,497,135,465,754,325,
031,775,325,077,746,164,304,252,017,949,224,858,161,550,009,119,339,388,231,
287,112,775,249,019,132,360,780,968,317,749,044,189,060,143,036,826,887,952,
382,172,919,050,295,204,827,487,187,464,407,731,062,405,179,580,171,615,863,
762,386,608,746,010,295,766,047,236,537,000,033,516,182,069,956,290,684,690,
721,010,714,087,269,094,179,409,005,563,934,085,298,473,366,524,312,036,502,
711,601,632,032,265,279,261,061,071,805,037,587,291,294,216,145,851,404,227,
549,631,378,683,998,021,195,511,860,933,296,410,139,921,568,868,192,460,361,
397,989,877,991,564,570,670,561,738,887,282,397,680,493,038,015,316,622,336,
697,091,749,750,977,202,243,109,785,375,565,799,848,819,631,490,544,179,056,
141,466,046,184,706,260,279,861,301,634,599,821,109,839,469,973,658,148,199,
561,139,792,163,986,661,462,218,028,290,854,860,941,999,859,369,979,909,344,
038,466,669,510,403,765,652,095,709,161,703,572,654,541,621,502,338,914,520,
636,868,535,884,967,176,833,735,335,380,836,274,218,864,961,648,205,610,155,
253,249,560,037,883,972,574,840,819,218,598,031,190,237,552,787,913,432,042,
429,700,919,663,460,717,605,728,524,947,696,395,547,747,328,457,941,169,611,
285,044,193,389,292,692,105,869,601,970,191,899,287,865,034,238,274,233,722,
362,144,961,905,100,268,862,395,626,483,017,000,390,293,414,627,047,121,227,
008,354,520,805,318,298,431,256,008,965,654,412,731,602,380,746,585,573,211,
592,048,846,132,954,384,446,169,974,514,181,280,302,637,995,061,914,221,216,
245,993,879,997,519,589,604,503,256,305,392,437,824,479,341,206,683,261,290,
219,247,027,425,327,354,658,695,080,824,272,346,762,706,255,654,677,068,151,
223,091,437,354,491,541,782,956,662,798,743,622,890,174,192,102,568,925,501,
686,128,630,217,220,908,226,216,250,671,307,320,711,776,541,602,073,686,716,
686,437,136,471,542,073,336,775,097,709,023,781,055,783,884,883,651,362,775,
145,862,931,530,881,593,755,995,054,790,194,257,793,186,550,722,602,444,135,
596,741,552,798,482,958,292,680,571,461,919,919,494,256,877,282,886,730,086,
145,596,333,100,011,186,399,048,290,292,759,263,346,268,617,432,649,952,337,
003,651,263,237,248,726,260,742,646,385,921,455,652,591,243,563,514,387,415,
192,482,345,123,377,426,060,043,184,216,776,396,509,664,427,133,817,334,145,
091,592,933,335,443,548,374,159,474,824,013,297,851,555,671,413,991,504,879,
430,379,381,935,535,121,507,553,158,109,004,174,963,228,051,283,898,429,869,
351,340,980,754,622,499,775,592,936,189,686,766,934,029,429,207,724,834,523,
420,473,611,772,460,987,966,462,957,979,357,027,089,037,642,795,924,895,451,
329,466,325,688,728,082,239,394,077,161,160,433,619,664,675,954,122,219,133,
365,615,743,893,723,130,622,145,272,543,154,662,268,876,506,091,056,073,705,
641,994,599,494,956,438,465,025,833,053,607,812,030,200,297,626,176,814,754,
667,428,021,426,744,005,920,242,797,473,089,932,776,340,544,027,146,626,380,
099,082,067,097,958,056,886,168,062,031,053,269,492,556,717,078,647,272,226,
032,558,613,012,740,513,395,616,996,074,909,714,445,536,527,739,768,596,403,
768,001,758,845,684,457,289,295,356,152,104,017,848,247,957,470,907,240,214,
351,703,365,928,093,107,887,968,088,426,104,842,827,154,189,937,468,054,303,
299,521,762,146,013,680,156,450,044,242,604,067,550,223,005,621,441,762,228,
688,965,990,614,215,892,624,795,972,911,178,596,063,139,806,111,978,069,473,
806,596,573,893,748,172,937,353,391,495,208,302,762,768,291,944,721,218,982,
257,415,496,536,993,037,958,875,354,922,828,105,820,327,546,416,948,208,219,
486,752,510,479,164,857,307,108,112,483,630,903,831,394,392,739,394,860,143,
432,001,888,106,882,906,289,506,314,393,121,838,079,836,319,204,302,283,704,
921,248,938,253,845,562,717,222,761,447,833,478,593,580,446,146,053,296,174,
351,394,444,668,457,933,861,740,677,855,624,920,655,513,007,814,167,962,476,
028,806,782,147,168,033,947,977,593,457,683,887,612,870,740,958,613,012,955,
387,982,884,686,066,343,463,876,052,732,661,917,760,610,911,656,118,445,622,
134,890,629,311,098,488,386,243,102,071,263,124,876,469,359,603,441,623,340,
991,745,715,891,775,226,455,885,332,784,588,078,368,856,210,051,754,205,060,
595,018,171,951,914,233,143,846,393,524,509,731,859,480,494,161,991,164,130,
841,332,860,677,612,216,540,472,767,526,567,304,414,741,614,449,971,382,549,
208,805,500,305,397,754,327,519,339,030,742,778,075,513,976,348,509,805,336,
073,129,041,123,956,817,554,584,745,985,722,871,133,164,991,101,269,164,718,
165,858,474,644,086,397,830,358,118,270,792,463,290,285,361,896,012,726,223,
564,421,753,728,167,390,502,348,701,276,347,454,576,885,539,171,636,348,312,
176,318,176,697,125,812,629,759,665,528,976,106,579,898,072,677,683,907,825,
507,274,011,093,547,208,191,456,257,443,499,217,480,420,638,914,883,256,254,
843,208,323,797,150,809,856,387,122,703,328,577,497,388,657,424,623,985,758,
854,674,791,445,692,286,561,004,589,571,061,463,989,561,590,807,758,328,993,
379,359,314,234,263,579,308,647,059,127,630,636,600,126,673,030,697,088,976,
605,166,217,718,873,221,959,023,855,292,347,044,103,162,271,761,227,913,881,
466,188,128,893,613,108,935,871,225,346,518,546,782,472,623,259,298,874,751,
464,270,001,836,844,984,770,201,302,118,461,679,808,761,931,541,693,783,344,
816,169,010,019,237,103,898,633,264,236,588,493,098,912,953,115,986,810,585,
449,472,731,736,121,898,326,064,071,190,389,132,413,309,122,658,126,630,900,
343,058,408,885,028,498,114,721,916,084,031,789,331,300,394,554,668,429,627,
225,840,119,133,423,986,629,048,288,068,321,768,087,021,253,483,938,363,677,
245,072,158,341,835,755,418,576,706,533,731,673,484,737,712,881,260,709,045,
880,125,929,246,475,092,305,745,449,390,996,287,397,663,910,563,780,993,864,
343,859,906,827,928,668,207,501,694,403,027,132,975,420,182,211,703,786,706,
028,164,810,058,327,698,172,492,439,689,230,068,627,227,298,043,950,492,423,
756,674,293,881,073,180,482,825,951,569,824,664,479,646,224,905,504,851,680,
257,499,894,664,924,525,087,763,285,991,934,609,846,870,691,004,715,374,207,
549,650,612,456,776,395,706,872,356,681,171,834,750,372,656,747,550,479,640,
018,615,496,977,288,440,439,394,007,619,290,252,048,103,076,410,885,409,590,
116,432,556,754,340,205,026,643,189,835,964,812,413,255,657,637,985,730,563,
527,641,810,281,403,426,464,500,742,184,395,062,216,319,115,777,753,409,345,
288,101,187,839,791,927,237,669,580,411,487,847,078,503,145,949,500,815,619,
356,955,939,062,171,419,633,108,442,717,114,880,358,140,335,242,396,515,528,
814,803,233,526,693,770,298,368,944,154,768,866,279,592,767,496,468,789,292,
595,246,062,573,097,934,991,218,773,781,258,877,742,466,128,665,854,546,989,
119,809,538,558,569,176,842,390,385,440,052,054,659,103,099,230,493,148,072,
101,062,646,241,616,686,355,589,398,788,539,782,360,913,682,100,525,646,918,
569,403,543,761,183,609,960,471,125,535,085,390,278,033,033,150,924,727,553,
176,756,880,272,199,826,112,453,113,783,401,783,009,440,686,078,950,181,367,
087,603,164,932,054,901,973,634,351,258,458,677,402,404,289,843,679,952,092,
393,732,627,697,990,651,841,623,005,774,151,546,834,482,202,468,853,756,777,
905,908,273,708,895,022,244,360,231,073,867,892,766,048,746,288,358,144,938,
405,635,023,336,671,373,212,867,873,745,289,487,467,721,555,905,203,110,991,
131,860,273,389,668,351,312,460,170,167,101,483,113,407,010,186,554,281,636,
939,315,224,130,557,209,082,228,000,552,091,513,697,551,999,557,134,197,056,
129,659,686,613,499,481,737,614,898,178,172,116,169,003,837,541,450,437,117,
756,708,415,828,609,843,279,066,060,477,277,448,720,583,961,260,129,108,842,
208,760,248,212,516,209,967,716,733,085,178,285,904,555,746,629,617,949,317,
421,227,429,472,252,953,901,500,770,188,946,209,788,933,677,500,826,833,273,
807,311,877,871,036,150,625,723,450,630,514,666,948,567,030,056,777,162,931,
108,095,408,715,559,361,198,659,530,784,459,125,461,801,445,750,295,035,598,
162,405,532,771,967,637,062,627,682,056,996,313,474,943,444,508,786,942,928,
621,625,802,727,479,005,114,881,876,111,438,676,561,965,507,771,200,190,581,
238,510,561,430,439,224,741,959,345,263,279,478,345,079,937,220,501,551,653,
438,353,639,205,867,915,378,695,900,389,331,057,406,757,319,112,709,802,367,
732,181,364,769,005,138,648,128,171,466,775,024,854,778,113,849,837,412,374,
637,300,961,690,253,706,128,623,186,386,612,002,968,632,832,199,238,745,799,
248,454,619,113,677,807,051,682,892,127,435,555,190,293,059,720,455,465,179,
381,421,046,250,563,587,923,021,863,414,197,132,654,515,905,505,667,399,661,
601,845,305,747,247,125,775,811,238,969,130,025,949,430,982,600,175,187,641,
651,259,845,675,196,225,989,585,313,300,004,267,711,234,131,907,860,860,608,
223,013,246,362,775,352,521,410,271,050,246,403,435,011,639,146,482,590,059,
007,780,388,352,023,358,906,533,741,144,532,267,561,098,111,687,436,883,711,
169,111,045,372,740,322,486,662,777,754,321,935,368,263,403,254,545,169,435,
211,858,679,057,929,339,791,616,335,572,496,420,767,133,653,989,265,247,837,
506,704,551,157,817,043,622,222,318,173,262,058,667,859,624,767,106,762,057,
345,245,718,413,241,708,648,449,244,983,288,014,012,991,997,658,508,678,823,
149,903,926,406,886,326,291,823,166,713,919,488,996,080,709,900,953,830,365,
622,318,592,031,147,072,436,025,359,687,054,369,448,521,876,734,451,281,601,
395,712,399,577,920,332,924,315,087,930,293,428,728,820,575,860,840,710,299,
647,667,481,323,433,484,360,012,895,580,398,131,735,894,637,386,618,195,070,
929,691,422,620,263,014,749,604,094,452,661,273,696,045,588,503,069,850,770,
237,813,933,921,496,943,516,108,794,927,729,174,029,475,637,568,203,084,082,
886,653,202,317,497,944,276,051,998,456,854,116,565,999,019,367,901,275,755,
986,381,321,018,769,050,317,667,053,600,557,443,966,793,373,273,923,220,757,
386,368,362,758,793,547,931,623,082,461,289,396,049,317,681,598,557,222,093,
232,515,909,357,465,727,197,173,350,003,627,550,685,151,736,116,443,579,181,
582,842,628,454,994,947,646,049,979,145,764,524,226,936,851,809,943,396,369,
229,720,321,904,716,670,849,493,386,439,776,266,719,563,549,413,175,712,644,
134,464,415,386,090,147,638,617,058,154,997,740,047,910,188,078,141,328,052,
216,812,337,459,335,004,856,483,532,750,370,683,854,995,424,309,094,465,475,
084,775,623,300,979,272,035,678,652,931,008,637,435,927,247,970,190,847,479,
154,017,749,310,380,508,331,403,410,862,345,780,918,029,472,174,536,358,711,
901,266,613,428,194,355,413,545,786,720,399,116,331,825,169,519,711,220,836,
213,031,542,896,926,023,091,724,780,974,782,006,082,568,630,416,814,592,720,
596,824,356,397,863,419,295,706,808,160,784,742,076,773,448,530,243,957,657,
014,139,130,739,726,332,492,505,960,202,213,871,958,732,221,667,490,939,647,
793,778,493,537,189,697,269,875,416,883,494,129,154,111,862,254,092,166,054,
307,921,157,480,264,237,094,851,029,884,080,510,611,089,259,020,180,654,374,
389,719,406,617,902,341,277,065,240,929,618,713,671,089,435,365,658,918,201,
578,500,051,907,803,489,449,647,782,314,966,566,420,738,876,058,110,028,133,
705,500,796,568,748,863,304,872,117,372,475,405,827,267,609,584,572,674,855,
760,360,767,309,431,436,880,149,898,740,331,124,023,478,666,951,717,041,992,
119,035,647,913,746,629,021,832,159,457,316,726,180,955,368,981,190,109,951,
371,169,492,766,599,790,773,136,082,399,873,253,475,085,920,672,500,108,048,
448,323,530,757,893,598,337,714,157,906,479,391,020,609,812,283,056,826,457,
562,999,416,194,804,974,976,712,883,862,740,855,700,123,231,105,645,150,533,
541,515,051,916,839,880,214,661,106,598,451,689,013,729,003,706,265,697,532,
160,068,414,027,024,642,828,124,799,306,849,682,655,827,105,620,660,831,441,
308,505,297,447,318,976,684,621,586,604,535,144,578,413,209,770,825,414,855,
559,329,354,407,324,429,466,514,866,962,559,421,442,931,378,339,823,328,159,
103,275,376,568,512,340,752,670,341,519,364,330,934,479,290,091,896,629,729,
396,752,923,183,867,873,635,014,133,206,606,691,743,286,181,823,715,524,468,
829,177,186,046,637,565,297,183,354,600,221,904,385,847,229,320,855,751,208,
353,832,954,690,421,980,586,260,411,620,406,476,125,702,908,324,925,377,506,
887,213,003,036,661,265,171,403,295,941,933,352,832,030,907,795,366,806,690,
739,551,578,683,594,798,139,699,007,532,809,923,369,192,283,761,290,699,353,
319,775,229,299,532,867,432,661,719,791,023,135,542,894,124,942,817,193,979,
535,331,518,608,651,415,687,556,979,168,984,744,045,339,371,336,414,646,162,
597,264,892,707,410,143,303,453,109,754,802,980,250,546,729,049,033,931,985,
631,226,177,658,739,725,429,666,673,174,603,345,321,012,543,419,635,188,450,
505,512,764,902,631,692,359,884,872,179,186,421,490,302,558,195,822,156,827,
631,639,356,747,924,864,240,837,628,115,161,544,669,272,093,452,106,437,738,
187,121,954,556,178,030,410,961,185,749,280,275,098,314,759,787,227,300,649,
757,000,469,165,884,606,830,190,328,218,785,429,085,725,713,703,971,210,355,
179,614,355,005,846,406,251,306,116,133,190,004,662,797,764,196,964,129,084,
904,436,445,557,153,931,214,383,235,219,905,939,688,278,361,136,129,503,039,
302,795,164,659,349,155,611,401,980,302,592,698,854,624,197,940,196,088,109,
059,276,847,167,804,901,604,468,913,880,479,687,347,187,369,182,175,398,190,
242,112,264,323,781,053,149,280,153,407,100,261,328,885,791,670,351,595,615,
984,609,209,455,851,514,478,795,201,814,184,232,068,925,353,919,092,808,095,
735,623,181,194,908,641,736,443,597,898,384,469,682,903,802,828,767,249,052,
685,214,111,430,781,352,138,311,381,784,933,200,440,003,349,206,705,716,425,
358,527,019,662,001,404,965,844,238,787,161,576,677,683,850,131,801,599,211,
627,067,026,885,133,837,851,072,484,194,218,267,621,175,023,478,067,496,627,
930,954,974,217,054,046,571,225,305,613,406,892,318,175,594,595,863,278,555,
255,767,018,344,789,626,233,047,430,185,398,323,432,796,324,763,421,257,644,
676,575,440,841,833,799,077,611,269,292,369,006,553,666,082,168,971,800,051,
312,504,596,247,529,657,140,995,397,290,702,741,688,470,960,716,216,625,901,
674,793,748,389,780,666,984,208,860,504,150,388,752,144,698,159,220,918,649,
178,618,215,224,318,607,340,710,112,459,233,649,332,276,988,765,343,953,578,
104,956,526,905,925,561,391,892,856,836,021,881,042,133,681,880,694,670,777,
276,710,406,725,501,829,658,395,286,856,380,513,551,781,468,343,191,092,838,
958,794,694,644,928,893,028,299,360,436,186,267,196,979,738,084,390,517,337,
062,750,212,763,818,689,944,702,972,461,490,216,087,715,191,125,242,233,174,
878,221,908,928,925,948,040,787,739,472,511,003,012,743,165,463,020,074,866,
330,701,679,891,149,754,558,177,775,788,035,652,987,957,079,768,135,527,800,
843,035,605,172,478,351,817,782,939,334,971,998,306,140,928,226,625,173,656,
105,179,179,580,216,212,606,512,818,951,429,306,032,255,329,174,044,646,203,
696,982,467,088,699,216,764,790,137,185,749,173,644,111,829,308,846,575,165,
412,759,903,853,877,807,154,867,600,814,706,872,631,070,650,900,467,094,702,
598,163,329,389,999,036,086,896,463,451,646,697,936,669,105,364,511,952,483,
680,105,052,515,746,475,341,174,736,011,242,219,543,026,024,453,847,085,436,
557,481,066,936,448,506,511,244,408,545,086,120,679,818,845,391,394,555,741,
220,574,762,265,859,879,371,915,141,065,511,243,754,097,527,663,639,797,691,
947,284,220,618,352,582,829,267,482,193,111,545,570,890,495,760,990,230,606,
387,236,766,411,463,608,771,742,951,483,267,875,201,718,067,954,013,927,352,
934,472,818,481,805,835,563,280,179,535,862,309,075,026,548,333,770,718,683,
857,660,731,153,653,949,147,534,393,324,074,795,106,178,762,517,742,420,713,
048,930,573,639,589,514,467,715,145,671,020,648,327,404,130,488,558,357,358,
919,318,544,747,009,362,883,348,866,736,681,911,201,340,546,288,037,610,301,
428,282,503,542,566,871,815,538,730,122,460,867,139,159,305,643,089,044,833,
215,049,378,322,567,453,897,776,996,293,791,958,390,213,577,394,448,935,302,
262,949,051,269,883,995,492,092,141,776,964,364,362,092,703,589,569,199,741,
878,619,328,805,852,153,173,651,706,748,106,069,219,189,860,679,342,794,603,
421,674,682,680,548,881,355,341,915,745,616,142,729,518,741,018,219,094,025,
667,956,323,536,008,366,194,067,361,025,386,184,064,736,087,685,689,100,523,
359,694,467,663,724,363,938,079,379,962,125,740,454,645,730,361,501,679,231,
231,510,796,472,749,947,487,728,972,825,392,565,978,442,595,339,647,523,389,
110,484,170,152,048,531,742,892,466,071,533,670,785,892,144,328,932,288,454,
710,292,551,337,287,586,138,063,125,551,787,530,458,683,352,593,090,598,717,
794,447,476,288,537,917,943,409,705,568,125,491,293,172,065,311,405,264,845,
177,370,893,887,480,781,111,032,988,319,458,000,754,060,246,028,839,580,006,
457,133,639,184,983,400,808,652,076,061,965,073,092,552,762,013,496,312,401,
467,716,176,716,224,625,956,889,129,223,375,691,319,437,550,750,630,443,950,
716,544,330,130,042,160,907,340,501,729,565,971,423,177,003,741,187,696,108,
684,688,237,448,314,280,667,534,317,830,577,287,801,540,960,905,297,041,255,
683,583,808,335,350,304,468,921,991,482,535,391,746,735,057,989,763,817,011,
263,657,590,770,327,520,999,955,223,215,294,437,245,674,985,139,389,024,976,
820,979,095,291,210,979,561,913,300,252,770,073,566,073,785,651,191,572,401,
951,760,378,313,719,350,126,577,728,986,259,774,139,226,888,856,923,723,830,
174,371,094,997,241,846,576,386,344,939,829,173,809,618,198,497,611,401,995,
730,078,778,791,870,648,250,992,182,079,662,889,595,817,010,372,350,870,247,
813,650,894,735,991,584,477,891,634,066,098,368,772,414,370,799,930,307,667,
313,291,588,815,278,211,906,363,868,839,985,536,269,250,307,605,651,219,386,
260,285,385,405,736,011,808,720,128,359,450,234,973,476,231,100,755,667,242,
535,625,529,161,758,113,530,784,034,429,922,614,413,539,342,397,089,227,758,
957,654,692,833,915,727,500,152,063,480,872,948,176,182,711,638,476,317,270,
094,839,318,368,966,005,461,030,923,687,490,829,157,924,290,240,300,634,382,
079,303,007,763,712,545,596,897,677,832,084,020,702,531,478,644,824,468,849,
916,967,488,768,629,478,368,732,883,933,962,381,341,964,684,996,997,527,287,
369,423,679,208,308,840,978,603,394,477,812,502,336,880,518,604,589,186,271,
522,824,831,016,487,748,063,844,006,357,461,103,786,518,358,323,536,436,786,
249,861,613,848,502,992,429,006,528,203,542,800,181,567,583,693,081,865,112,
037,286,810,626,793,986,308,478,457,946,992,471,010,094,811,691,157,525,725,
744,299,134,981,614,456,246,631,393,591,732,833,056,291,836,767,547,875,248,
553,380,654,094,692,221,761,574,812,555,471,551,071,652,954,144,533,767,554,
691,837,740,606,603,087,634,497,437,475,750,559,249,091,496,887,931,208,440,
782,403,701,929,296,664,429,791,153,886,158,269,581,221,668,144,933,788,534,
034,558,307,531,584,294,468,279,709,283,169,622,530,914,485,468,530,395,497,
342,325,293,466,991,912,307,935,947,746,555,010,618,502,486,247,935,974,133,
832,862,379,936,357,027,076,925,196,935,321,092,551,015,365,359,200,958,469,
968,819,541,254,717,531,448,877,751,026,444,749,330,595,585,417,434,432,713,
067,740,000,954,010,049,024,159,868,191,855,077,494,407,271,454,003,021,050,
432,376,562,301,123,077,236,281,406,113,216,192,246,880,959,054,714,735,785,
981,420,134,267,094,789,509,003,120,192,261,474,909,928,357,102,903,544,410,
248,262,809,016,710,017,469,142,530,994,939,723,601,616,369,666,209,381,008,
496,698,365,378,580,656,090,334,434,676,224,696,317,903,904,415,187,300,059,
678,514,125,194,180,392,769,551,656,791,381,694,463,299,247,632,957,057,755,
461,329,065,961,650,575,821,348,359,439,413,199,838,122,419,436,480,188,532,
523,069,140,292,195,549,827,417,731,338,473,189,808,541,245,459,629,496,575,
173,435,877,705,955,980,740,338,288,977,265,638,207,778,369,602,675,177,609,
162,166,444,373,973,626,729,697,001,119,399,693,885,824,109,992,180,646,396,
327,768,025,887,049,774,257,579,114,447,221,830,676,197,028,167,006,731,878,
053,775,254,328,832,709,272,607,063,072,574,103,682,105,841,628,089,740,980,
681,374,481,264,596,643,030,729,108,865,323,532,664,712,423,919,229,967,529,
247,249,771,439,296,043,158,593,650,991,562,813,443,001,678,243,372,482,831,
888,984,231,258,311,555,825,709,019,007,909,575,780,189,822,687,285,711,374,
979,601,458,228,449,777,313,676,560,986,324,461,403,515,862,413,315,983,508,
363,182,790,556,335,204,472,406,659,743,672,272,598,026,256,293,154,712,918,
495,345,484,657,889,185,763,051,157,531,726,122,979,743,819,823,029,192,944,
375,989,759,337,081,245,752,519,287,953,286,965,823,418,546,509,522,276,014,
540,626,845,448,640,125,830,816,227,837,886,594,935,556,692,459,513,315,794,
420,314,151,713,638,025,978,679,420,444,439,022,659,872,458,034,250,511,440,
128,314,311,369,828,922,524,130,218,279,005,771,113,825,408,114,565,502,552,
885,054,197,017,875,415,822,679,841,665,389,918,734,267,500,951,853,325,350,
697,847,327,277,387,317,087,340,200,936,957,912,056,424,899,162,797,856,673,
475,655,817,917,738,538,747,421,276,805,575,394,504,833,646,118,490,428,168,
940,391,704,805,848,615,754,202,272,022,242,371,897,531,528,446,785,442,194,
863,048,230,972,710,044,018,703,222,876,174,361,180,108,444,695,828,932,689,
252,473,456,434,895,436,144,152,078,430,937,131,233,547,800,659,384,537,845,
787,097,473,484,239,491,490,166,342,462,958,524,352,447,008,040,880,441,354,
252,929,481,358,962,938,672,309,687,950,841,802,855,394,554,294,788,725,534,
284,243,067,130,254,590,291,212,856,306,852,443,297,553,260,844,540,690,912,
785,430,192,095,747,940,558,982,982,182,358,514,797,671,181,446,569,671,389,
424,295,717,111,801,171,975,252,904,388,605,190,801,536,515,063,300,081,432,
317,486,355,364,523,296,610,040,172,775,939,034,705,990,639,393,599,388,619,
154,250,746,060,856,558,364,310,169,848,208,411,388,378,935,829,425,380,212,
774,263,594,469,433,750,630,547,871,206,615,123,634,465,856,578,533,307,048,
194,906,135,720,216,778,741,268,155,500,090,215,169,367,317,263,445,472,768,
931,183,957,779,549,554,485,619,182,480,602,648,814,587,944,300,470,076,107,
491,375,037,525,427,668,288,678,858,911,997,036,284,041,605,361,806,474,892,
176,561,235,990,079,904,614,400,463,045,431,959,072,893,121,685,727,410,627,
334,695,825,522,882,111,072,554,530,125,141,562,513,917,941,634,017,818,396,
151,753,876,323,768,979,490,650,924,016,045,128,166,674,381,831,468,439,951,
650,239,066,780,190,679,300,225,610,272,029,894,788,613,497,274,722,324,701,
306,264,956,468,933,552,571,522,426,784,193,330,785,903,616,850,019,585,624,
260,411,792,699,909,840,059,961,442,201,670,086,586,517,928,174,645,223,772,
493,261,909,516,995,445,331,277,538,693,656,143,746,965,530,828,969,927,220,
321,615,761,751,287,654,649,085,179,483,255,909,970,621,306,848,861,501,207,
529,364,819,564,808,422,227,235,178,457,268,364,750,444,236,635,085,207,668,
887,939,387,148,415,469,092,406,582,024,689,964,553,566,287,591,887,291,326,
727,346,336,306,031,591,045,789,294,199,150,884,209,696,491,702,579,501,315,
531,080,495,593,590,642,192,523,744,024,445,657,188,506,773,886,918,118,005,
455,961,019,361,574,782,719,005,740,677,355,423,649,298,179,975,367,483,163,
037,083,561,113,266,713,951,387,904,656,407,969,357,728,253,571,841,494,975,
604,206,835,492,615,405,772,281,070,181,247,086,873,376,625,837,688,217,331,
690,807,077,710,513,658,953,629,184,439,158,262,809,110,754,182,721,810,342,
040,609,193,866,833,246,124,886,004,735,800,927,057,939,853,521,271,262,857,
299,532,466,867,994,917,258,088,575,010,957,540,825,274,101,297,835,743,122,
794,002,275,511,252,291,922,734,551,625,761,255,244,718,044,303,784,672,775,
824,625,414,765,704,036,167,655,332,173,694,338,100,278,203,795,673,436,265,
912,596,694,077,775,647,003,906,098,186,179,415,718,020,852,037,349,316,699,
268,885,687,467,140,837,714,196,758,163,870,258,840,921,967,847,651,773,885,
460,461,737,865,788,659,528,196,542,354,967,759,121,314,179,715,010,259,538,
215,535,151,759,025,799,775,767,496,750,406,940,667,194,297,722,774,990,471,
726,791,232,317,477,971,330,090,093,595,007,070,774,142,602,264,236,800,271,
293,560,504,597,815,008,518,396,151,548,300,124,825,219,980,789,415,447,631,
336,254,852,379,772,532,215,486,973,727,975,471,395,238,096,847,945,732,001,
835,781,663,902,892,241,489,741,237,999,759,150,272,864,640,918,085,056,602,
789,508,913,982,571,827,054,412,899,084,544,717,714,341,393,445,775,208,661,
912,441,497,338,277,301,252,058,667,432,415,864,552,310,952,787,239,639,090,
538,622,157,335,221,828,568,412,745,064,747,474,631,410,562,418,139,889,376,
000,779,376,953,519,756,485,720,684,834,241,101,793,352,759,895,850,702,829,
958,854,092,408,184,053,543,965,440,149,318,713,315,082,709,013,062,343,164,
788,307,561,976,667,248,742,774,993,195,133,522,767,974,284,354,984,770,511,
714,418,772,077,596,341,377,132,356,972,582,882,700,467,634,634,793,860,971,
605,330,681,661,066,435,040,419,192,805,139,822,146,544,313,109,433,376,676,
313,036,756,525,466,318,848,778,051,250,189,185,797,175,337,573,319,310,303,
441,974,035,480,172,986,850,383,457,318,597,772,322,987,895,500,566,361,607,
032,586,816,515,063,933,514,962,518,984,555,822,378,996,382,042,690,926,114,
482,485,286,094,886,949,910,861,503,763,814,130,380,619,055,387,270,454,282,
988,393,753,650,970,343,877,944,933,313,966,668,575,030,397,503,808,953,806,
756,898,105,710,613,662,129,026,605,565,375,054,098,975,545,436,188,513,469,
877,059,369,942,962,902,892,864,123,245,515,249,943,874,748,573,661,987,153,
643,232,389,008,481,213,626,911,841,576,150,853,390,891,503,421,595,415,895,
561,893,301,004,100,593,560,251,036,100,897,425,370,553,880,761,355,141,697,
634,020,165,400,300,597,331,792,418,595,812,616,883,584,461,222,127,368,610,
654,883,091,008,631,872,175,913,124,038,647,203,945,975,366,909,565,158,006,
440,484,313,868,296,687,549,677,613,564,886,802,858,602,321,862,593,160,203,
362,372,351,663,425,628,538,354,169,138,796,583,140,768,419,517,452,729,782,
259,961,049,398,179,968,831,820,970,508,353,389,370,771,782,634,336,323,142,
142,849,006,865,507,606,792,744,646,014,454,057,158,169,553,821,551,351,933,
400,050,577,388,093,582,757,718,441,511,808,086,840,856,979,548,670,802,470,
676,949,561,092,026,281,263,590,183,365,988,671,299,668,717,942,317,898,986,
941,455,611,526,435,937,515,840,253,415,633,690,007,413,677,378,467,478,847,
570,798,688,037,292,116,110,560,580,709,855,378,742,442,656,582,866,319,277,
481,170,791,077,365,772,692,171,859,587,357,720,314,856,182,131,679,487,044,
967,438,555,930,406,140,052,353,969,481,195,119,450,017,809,573,978,315,463,
762,381,255,588,709,457,908,050,370,371,408,569,404,743,144,196,000,920,943,
175,736,764,406,589,712,905,111,325,257,542,835,310,083,644,437,579,243,832,
318,972,271,092,317,162,736,168,343,229,252,996,416,331,261,805,543,982,595,
440,019,918,748,049,114,259,342,302,753,692,473,196,831,860,914,523,863,640,
589,405,706,287,584,746,883,562,064,616,898,380,143,188,331,186,586,611,622,
484,507,274,161,165,999,019,676,973,106,404,655,491,768,874,539,628,295,434,
785,225,788,002,643,970,045,221,648,435,915,265,666,623,974,908,324,003,181,
577,771,494,627,229,199,652,596,827,437,291,659,624,990,546,894,542,148,837,
372,311,730,537,288,580,953,260,615,431,568,899,543,433,073,564,370,857,526,
849,636,248,059,867,099,107,526,358,444,329,944,363,961,111,538,956,480,931,
402,765,652,692,249,870,401,951,943,892,941,893,617,315,411,811,859,231,437,
385,892,199,138,791,847,386,842,799,248,370,813,702,253,981,700,250,968,036,
026,073,192,053,190,775,656,745,695,645,543,445,114,008,628,059,242,514,901,
845,138,361,933,452,972,512,405,881,041,069,194,880,087,041,768,743,824,955,
700,823,034,075,884,557,420,256,035,074,224,145,617,306,261,849,600,762,191,
672,213,571,062,749,737,863,623,045,840,902,578,878,587,750,149,024,449,940,
807,723,432,366,815,714,144,297,767,040,213,935,802,295,471,036,999,831,721,
731,973,791,379,061,163,757,444,941,362,577,824,695,042,174,668,182,749,483,
492,426,284,649,043,890,642,280,392,089,785,893,467,867,169,595,818,790,690,
070,263,007,865,968,666,052,278,241,157,871,762,385,716,063,047,970,851,030,
864,506,531,070,463,937,921,105,502,433,272,545,343,923,801,456,791,524,000,
538,445,247,305,274,853,850,346,497,723,237,422,387,847,063,323,912,704,059,
327,110,350,562,083,882,039,733,845,816,460,206,616,246,657,832,275,566,518,
152,795,653,379,030,549,351,447,415,807,743,613,548,963,340,872,226,182,945,
846,037,775,596,880,765,190,101,565,808,489,039,992,260,365,638,963,442,933,
066,920,839,010,668,290,780,483,088,862,765,288,689,476,649,956,793,116,419,
845,007,567,753,335,198,937,249,769,226,393,104,670,049,326,634,983,248,299,
279,421,464,832,041,029,738,067,287,183,548,348,059,106,286,694,521,720,989,
037,261,263,503,648,047,841,663,977,386,108,292,185,597,039,364,596,216,653,
732,769,319,623,164,807,269,024,102,658,913,195,234,661,659,794,225,700,168,
667,986,979,470,926,001,585,765,261,094,789,160,279,810,144,014,936,209,890,
384,405,039,890,396,590,107,029,728,172,399,488,097,447,359,424,309,045,279,
602,201,154,428,465,859,879,042,619,656,066,353,331,088,120,069,656,626,847,
651,420,484,948,721,936,483,102,362,879,128,438,240,798,408,544,535,975,396,
496,680,140,428,878,323,784,753,477,522,098,308,275,369,900,038,970,944,499,
060,033,973,451,455,029,917,628,411,134,434,921,568,059,667,238,606,168,633,
481,350,075,187,160,777,434,088,968,714,212,647,582,979,745,055,797,186,588,
528,919,722,814,674,213,480,269,222,118,087,893,568,807,081,634,225,330,590,
040,865,113,623,811,923,390,268,867,187,272,646,108,053,875,204,020,518,597,
404,346,717,277,066,257,272,149,549,383,133,462,948,461,388,281,208,696,518,
450,891,771,339,152,174,602,412,523,199,310,155,774,848,918,689,443,434,531,
065,400,962,639,269,548,710,658,658,042,670,482,816,112,310,327,643,205,122,
886,540,942,849,685,736,535,407,125,881,862,370,940,342,883,696,754,272,519,
404,241,551,826,232,975,123,357,615,709,959,168,524,149,926,209,143,440,232,
918,982,459,283,381,899,326,676,487,632,201,024,728,916,483,860,963,974,654,
955,680,460,429,029,203,794,479,323,913,142,833,638,581,438,958,037,714,540,
494,563,379,546,467,217,275,294,739,019,420,004,444,295,826,590,285,344,874,
302,524,702,731,528,832,891,771,212,809,032,539,112,253,250,666,369,897,305,
852,947,288,649,994,593,132,252,954,998,960,715,595,603,645,590,674,861,115,
642,565,216,768,801,267,117,967,246,354,886,736,886,425,330,599,536,544,573,
429,258,460,393,348,198,819,292,588,394,409,466,371,124,276,224,272,365,179,
033,446,457,093,079,016,586,396,718,609,811,058,029,095,093,069,187,395,745,
031,500,393,427,226,540,827,587,501,792,472,732,358,333,142,419,568,796,669,
356,808,924,145,816,134,901,272,896,352,425,188,628,080,915,200,187,182,309,
403,231,444,541,252,169,266,552,361,931,649,103,670,623,787,963,348,716,045,
557,182,562,134,368,416,003,355,214,807,995,012,542,624,125,172,670,411,788,
758,255,069,553,257,029,930,264,918,050,562,616,215,910,152,561,617,314,886,
648,489,207,355,388,007,155,216,093,551,261,608,849,521,761,566,771,288,364,
168,810,420,936,297,256,272,254,583,851,121,006,939,508,246,320,548,483,844,
938,466,881,838,979,284,968,411,840,120,829,762,698,370,971,694,492,520,538,
578,190,686,425,221,563,976,906,508,646,396,908,991,951,357,315,238,395,833,
030,439,611,898,689,808,516,029,351,201,010,119,593,275,087,430,113,027,230,
368,516,599,000,433,143,667,853,370,004,389,938,280,621,895,153,599,250,689,
510,645,577,235,217,439,215,122,396,104,482,854,967,976,551,414,907,855,261,
637,291,856,523,118,593,752,858,705,586,222,824,167,727,756,024,989,476,362,
493,983,198,966,794,028,310,944,201,270,183,863,711,020,160,100,951,029,859,
753,015,706,905,855,229,402,636,650,752,618,456,146,721,989,166,535,176,863,
696,978,631,116,654,826,904,347,855,375,486,702,389,083,332,397,282,024,573,
575,696,203,848,376,939,837,790,198,813,554,650,467,402,221,478,401,064,677,
908,391,133,169,194,158,248,791,941,932,880,280,795,562,306,039,934,084,363,
813,383,361,863,813,357,910,395,932,163,683,144,455,546,932,118,324,091,488,
363,679,704,350,866,905,431,183,087,779,770,965,660,570,155,847,826,739,543,
193,756,311,568,558,576,230,215,760,963,427,276,278,889,735,177,069,463,777,
138,361,800,382,282,858,086,214,275,714,460,640,823,806,802,025,759,372,144,
120,912,396,672,878,614,391,104,912,767,418,391,409,229,746,295,100,003,829,
207,709,018,304,979,706,665,079,867,024,064,724,335,919,067,038,259,174,820,
738,092,375,116,564,006,919,073,186,656,176,974,248,868,172,732,522,432,445,
444,398,337,857,226,088,022,254,456,346,132,248,003,199,381,009,203,010,699,
859,541,610,602,021,476,962,310,716,713,296,532,586,450,209,974,364,368,231,
548,102,744,898,292,172,480,537,490,170,373,559,448,656,478,729,193,692,699,
059,395,414,982,949,316,021,855,222,657,310,033,327,292,378,182,814,484,837,
352,336,021,145,570,804,485,144,951,488,855,690,074,766,065,674,015,731,161,
420,486,065,237,283,782,167,528,524,611,578,383,310,692,057,080,576,412,733,
182,685,286,374,497,166,104,952,222,599,322,002,540,757,788,491,940,843,542,
648,271,635,703,111,056,325,112,200,571,716,681,033,100,966,004,008,482,881,
617,372,367,609,317,636,502,246,049,424,689,691,006,227,468,862,890,759,960,
682,363,005,555,273,290,465,357,119,139,225,025,796,963,592,835,279,503,379,
286,746,083,174,182,539,557,651,341,046,637,286,904,445,824,982,369,353,049,
145,286,678,420,345,260,492,900,726,665,151,238,869,859,591,153,673,558,790,
911,743,886,978,539,140,239,984,782,097,116,465,050,130,147,229,857,916,774,
122,121,897,850,429,346,712,705,026,172,413,686,613,760,185,832,205,557,991,
841,059,640,380,150,531,983,200,872,662,064,969,381,285,950,010,184,151,960,
543,192,789,946,214,724,591,060,983,725,881,878,507,199,254,244,875,444,125,
381,351,074,591,889,990,061,008,184,003,020,248,300,997,397,778,113,829,883,
529,600,010,229,223,478,054,992,724,030,022,876,721,858,381,842,131,384,194,
938,887,853,130,374,582,993,870,916,503,453,603,383,386,219,408,824,981,792,
857,562,407,792,796,739,105,933,811,814,176,443,368,120,102,521,140,454,930,
452,653,515,663,952,564,822,939,810,460,527,465,540,467,712,473,849,865,384,
841,648,695,690,474,515,012,943,064,974,344,249,200,415,736,909,678,704,402,
595,960,733,630,679,323,545,207,396,874,975,120,589,672,359,878,057,327,921,
228,212,201,046,629,711,090,072,422,986,456,605,866,251,522,417,445,229,843,
507,455,572,034,269,037,415,856,939,495,017,240,769,782,598,681,183,008,429,
912,341,435,906,771,623,099,079,302,329,828,939,349,827,118,587,928,110,888,
936,966,252,028,253,015,244,216,806,473,984,657,829,100,318,743,024,624,955,
386,107,147,555,163,839,722,578,521,876,295,965,670,674,898,486,197,544,290,
541,029,073,021,638,649,001,148,356,944,738,051,135,084,327,603,889,700,608,
380,456,220,951,415,002,274,071,476,525,462,848,896,688,157,896,730,569,535,
250,688,790,974,718,374,383,705,374,261,567,879,168,458,001,905,931,399,285,
356,384,049,728,792,406,622,141,011,008,017,433,108,787,683,278,386,279,033,
559,537,350,497,437,113,421,679,188,235,635,727,272,384,828,220,291,207,506,
283,646,434,395,738,151,310,183,379,992,399,215,373,930,537,798,753,320,174,
644,495,526,385,839,771,460,185,934,794,068,580,396,338,149,932,346,179,142,
817,843,647,482,501,424,598,789,440,828,476,234,598,611,026,780,923,197,404,
103,299,588,163,575,949,225,468,549,232,728,565,016,106,546,435,966,029,002,
333,529,648,301,283,564,087,270,882,372,900,715,181,001,858,980,073,972,870,
617,138,358,582,301,092,124,431,037,711,661,169,195,295,360,335,420,889,740,
523,494,413,229,402,344,154,476,871,016,569,402,078,331,074,243,365,058,752,
862,732,945,377,606,601,822,512,610,526,784,208,509,225,969,320,215,754,447,
175,287,569,290,545,041,849,153,285,594,592,407,929,452,084,831,676,306,441,
147,194,887,212,128,294,832,688,894,315,780,522,083,849,660,432,220,655,282,
370,514,748,538,624,169,537,330,352,510,397,829,753,463,691,786,449,148,706,
130,491,533,999,617,165,257,910,607,526,203,049,073,439,533,730,410,381,031,
072,140,451,974,856,790,530,528,974,543,014,846,724,389,711,476,904,289,538,
425,756,658,762,151,431,668,895,640,147,079,173,548,014,862,296,632,879,010,
711,536,067,507,591,973,447,939,168,587,605,487,369,593,393,585,982,350,217,
783,049,940,272,124,912,512,316,643,912,830,193,867,220,251,138,483,958,527,
417,716,857,919,418,743,196,639,360,492,020,550,424,949,059,234,765,644,949,
462,484,041,580,043,030,183,739,061,593,412,864,793,878,094,657,716,126,529,
839,983,242,289,236,980,323,353,702,702,165,858,058,931,973,111,746,313,376,
750,066,756,956,430,917,730,624,602,319,885,499,568,060,988,646,229,393,246,
631,001,668,155,201,492,633,975,671,293,292,387,856,559,095,880,451,333,529,
119,269,741,957,011,767,583,869,127,251,431,439,801,640,210,131,791,762,194,
693,127,812,919,240,605,369,106,630,511,042,471,020,279,834,386,425,441,487,
663,843,405,101,009,068,572,020,471,209,597,902,412,673,239,633,639,876,083,
901,174,601,058,764,956,047,950,729,510,964,646,578,501,433,500,057,169,374,
831,001,530,875,954,129,222,407,850,963,637,436,690,529,262,427,973,057,572,
636,664,539,613,403,955,812,305,276,168,193,918,269,257,156,589,307,243,812,
339,083,169,150,358,705,377,035,069,739,889,180,132,344,959,377,526,351,455,
701,494,914,816,472,339,457,037,534,458,217,858,795,577,685,822,600,188,540,
928,149,844,035,132,849,527,007,251,837,374,942,331,943,945,801,076,665,378,
941,133,000,314,663,407,322,637,865,030,671,264,906,781,982,016,874,415,349,
820,027,202,776,259,687,864,332,445,237,179,012,314,642,609,287,324,632,945,
770,647,865,775,634,147,275,752,130,799,172,129,557,157,294,803,383,509,313,
637,354,194,161,064,745,774,842,136,918,265,950,134,790,174,183,328,429,011,
476,233,145,874,386,461,169,862,113,119,397,079,705,416,808,343,302,457,113,
435,258,875,563,682,506,343,961,853,391,726,252,128,255,623,193,630,566,790,
274,545,649,984,433,192,714,744,584,208,481,888,163,869,473,158,592,876,522,
638,208,444,176,183,383,532,928,305,632,799,301,642,107,293,727,224,536,601,
489,052,492,466,877,912,115,683,561,176,923,391,691,807,731,369,296,294,754,
684,581,761,785,540,743,711,680,401,984,743,215,250,958,026,068,081,073,140,
853,059,316,527,142,981,440,557,403,456,696,196,292,695,714,576,284,446,852,
400,252,439,031,501,291,073,365,593,228,107,618,644,269,220,504,490,785,003,
712,104,242,456,794,294,822,698,545,566,639,289,383,241,009,955,386,519,925,
873,758,564,574,951,341,229,790,533,934,172,644,438,553,256,071,057,589,376,
388,674,607,941,610,341,390,669,710,517,365,672,328,060,869,387,173,832,485,
152,345,230,313,490,913,311,111,761,496,130,781,824,618,415,022,200,384,747,
520,835,085,928,863,109,772,503,013,948,345,968,673,898,092,606,399,185,765,
100,083,027,614,601,033,602,956,673,822,242,366,651,851,385,782,717,510,666,
942,073,680,141,945,876,885,155,453,371,155,019,251,056,695,752,324,878,376,
008,136,832,782,705,832,363,625,094,757,632,169,612,013,076,037,728,331,215,
447,510,351,826,385,501,671,112,949,382,679,385,401,967,436,857,657,768,913,
395,748,496,273,258,023,967,407,831,115,028,030,649,724,875,212,042,919,416,
392,109,613,670,309,133,778,475,056,230,006,927,511,691,274,651,628,136,221,
326,270,174,488,574,408,243,521,951,136,639,261,670,593,994,607,795,586,945,
434,720,683,684,320,556,089,667,631,556,482,394,041,150,745,432,749,059,519,
798,346,419,301,741,646,248,087,295,674,088,521,781,445,181,061,631,098,331,
788,735,733,433,958,700,887,227,862,906,669,965,251,265,661,535,121,788,649,
231,061,677,330,586,525,731,237,011,860,845,025,005,710,783,630,397,802,833,
328,379,584,334,451,732,590,390,409,263,998,508,493,671,428,520,295,139,810,
161,754,919,838,874,129,875,367,115,570,662,453,049,693,713,922,248,436,286,
164,403,540,828,712,361,160,993,801,228,259,332,103,291,702,679,320,798,821,
517,011,475,860,774,014,168,518,160,014,589,748,069,142,136,283,308,812,654,
735,275,231,702,807,242,003,802,857,104,284,516,344,185,614,707,465,830,284,
648,082,889,358,528,107,563,985,941,810,914,771,408,174,887,600,007,529,457,
757,629,049,567,499,346,033,983,577,846,734,707,839,208,445,996,299,729,883,
425,924,851,519,683,877,063,337,917,353,299,551,493,520,432,455,426,113,618,
619,479,505,960,350,449,260,944,301,403,940,157,456,705,280,058,550,417,670,
124,526,068,674,206,411,073,498,032,877,781,738,823,199,514,276,937,558,875,
888,213,012,376,474,667,659,543,055,920,822,357,898,613,554,349,773,109,573,
004,339,341,415,603,825,512,964,232,693,464,257,810,769,243,704,599,030,347,
917,998,233,823,176,256,654,756,242,348,719,728,256,131,197,105,506,809,092,
250,815,040,737,735,824,589,079,280,920,245,781,325,627,275,929,488,832,349,
238,396,803,342,132,200,206,011,307,233,630,067,769,730,684,693,524,704,125,
933,688,433,503,515,560,911,967,795,541,999,301,587,050,167,992,993,272,652,
444,049,680,006,377,973,983,168,274,841,615,889,357,762,860,110,481,975,122,
968,141,024,607,694,704,911,126,454,771,111,579,620,288,852,188,491,680,634,
269,059,011,332,544,630,174,641,528,347,337,291,551,776,293,134,180,300,762,
619,049,381,345,272,972,386,436,717,372,619,952,675,688,148,345,339,302,230,
328,653,431,455,853,038,915,182,075,403,833,080,699,933,285,645,240,629,561,
556,940,740,525,068,631,500,928,978,944,976,852,610,111,926,078,914,602,781,
150,352,330,202,097,711,603,719,392,807,020,786,393,554,959,318,793,275,315,
529,918,438,407,849,512,806,948,198,988,829,703,932,333,041,263,204,490,490,
647,398,196,688,028,642,380,930,246,502,009,547,077,408,333,707,262,932,487,
135,798,410,685,434,558,828,982,015,332,938,521,345,334,901,126,477,465,753,
409,393,063,892,768,085,402,170,949,241,883,437,713,522,959,605,286,973,383,
976,838,473,827,083,124,265,389,851,120,317,796,966,976,634,939,708,832,700,
988,861,673,773,456,425,137,288,266,092,842,446,382,902,371,480,119,433,527,
819,294,484,051,888,216,939,005,061,966,154,342,695,439,946,740,239,112,101,
005,857,588,657,272,641,101,793,307,767,871,454,604,183,378,037,913,945,770,
975,688,905,451,208,907,473,245,286,836,307,374,134,715,395,779,146,649,227,
420,465,975,106,273,731,102,290,137,063,096,142,879,995,555,021,950,174,302,
814,534,732,730,521,411,581,656,862,704,413,058,852,020,560,943,752,599,542,
192,274,401,960,577,771,782,029,268,395,927,347,689,159,277,014,130,652,294,
373,927,115,369,826,162,706,675,860,840,764,662,266,941,101,455,570,016,967,
176,823,107,567,337,719,309,091,456,366,850,382,083,587,347,682,767,277,691,
369,447,441,323,884,152,154,182,222,147,042,084,968,623,104,415,301,744,092,
375,750,946,558,450,026,942,177,390,283,071,503,090,448,272,416,137,706,486,
492,279,236,460,683,474,593,046,192,795,362,097,444,525,635,861,221,549,309,
551,310,085,646,990,868,516,806,360,959,138,467,485,480,418,441,109,105,407,
832,752,783,043,814,452,887,445,291,166,800,079,130,007,058,792,984,659,100,
941,299,553,649,573,805,457,862,248,841,546,725,113,128,436,286,712,868,650,
510,435,480,173,972,035,323,476,106,131,831,363,575,063,534,570,358,390,087,
075,906,087,088,088,220,420,897,729,002,946,114,010,681,170,736,776,796,486,
906,006,972,834,379,293,255,375,824,466,569,581,999,239,909,907,299,022,318,
299,805,734,225,757,851,310,361,849,327,786,777,824,858,970,242,461,957,876,
682,746,016,687,711,435,149,727,155,959,952,850,666,305,644,033,819,282,197,
459,212,066,291,869,269,444,480,620,452,953,767,393,556,194,240,533,050,448,
295,387,554,685,915,650,904,255,787,223,965,553,280,817,288,373,656,158,015,
661,975,178,742,825,995,699,066,126,072,868,822,484,394,471,908,091,479,184,
596,888,815,425,881,254,692,780,802,650,502,013,772,783,514,743,344,821,409,
083,716,538,180,419,401,489,309,996,084,617,787,434,566,454,389,049,664,101,
445,716,441,361,496,276,811,616,221,078,028,892,112,346,387,333,808,687,857,
386,542,722,492,914,233,225,371,071,608,350,668,353,037,754,485,955,975,475,
391,615,294,146,633,250,752,904,398,646,196,016,257,926,337,703,107,718,776,
197,864,127,154,142,238,327,945,192,082,072,348,097,229,045,696,620,479,368,
997,550,263,495,232,921,496,201,664,212,152,038,758,500,655,904,012,512,718,
470,972,183,782,992,798,637,314,007,354,823,567,789,752,072,844,084,637,623,
600,397,860,861,043,371,356,665,935,192,814,569,426,230,901,709,514,808,800,
759,482,178,067,482,130,224,636,693,545,585,998,925,994,917,011,595,766,604,
893,673,236,011,257,424,935,094,504,925,839,627,730,220,561,256,125,439,234,
084,945,935,788,004,642,137,307,467,734,942,648,616,437,142,644,543,747,568,
523,373,711,100,460,232,774,326,112,526,279,515,700,438,091,302,344,917,453,
125,607,690,777,537,838,476,245,634,481,663,088,315,013,241,743,552,972,298,
958,183,757,417,530,577,040,647,177,850,698,408,120,090,843,870,465,221,214,
090,447,368,454,556,745,261,764,645,598,770,929,042,700,224,178,409,677,830,
334,784,007,149,718,123,131,914,481,413,057,545,312,216,665,002,473,366,168,
633,045,767,698,042,042,866,463,360,947,383,331,803,897,297,445,250,581,961,
621,169,135,648,045,934,786,274,835,994,042,248,121,549,118,773,251,970,827,
728,540,190,808,528,891,284,040,003,807,848,851,023,756,557,523,746,609,819,
494,621,230,723,108,018,425,658,171,843,586,949,668,459,775,009,959,250,595,
857,949,094,540,544,113,623,079,643,250,020,708,363,691,623,002,277,710,660,
930,751,158,350,677,301,486,471,980,404,547,555,814,526,875,979,347,884,518,
586,650,657,532,966,583,066,770,995,039,392,219,612,396,478,829,488,321,261,
806,602,103,803,684,476,765,299,821,885,366,292,917,242,103,777,389,371,651,
896,373,543,450,666,301,162,593,644,031,830,753,413,951,085,348,846,609,518,
308,605,203,980,839,103,359,800,994,151,705,730,660,233,037,415,359,744,420,
869,045,382,551,059,228,916,049,200,506,640,416,000,510,540,293,489,469,600,
025,965,716,161,744,906,330,153,772,693,467,879,841,777,421,923,543,446,906,
772,574,459,014,660,696,100,541,184,728,795,811,995,035,899,854,539,352,407,
377,377,972,080,072,960,353,906,446,873,354,059,249,371,063,352,471,626,054,
752,782,059,865,825,390,820,068,656,132,042,126,524,192,287,720,302,071,329,
806,457,123,016,860,395,058,219,258,292,090,601,427,780,815,035,115,714,145,
527,288,237,455,226,230,791,978,884,388,138,320,482,241,897,346,495,190,043,
250,317,805,855,011,330,832,847,762,959,892,168,111,183,930,058,437,336,873,
866,544,203,957,782,232,172,490,035,530,435,385,566,071,943,897,631,805,997,
541,121,315,749,437,249,592,754,668,925,526,039,498,958,521,798,254,544,723,
904,489,148,078,831,151,073,582,101,894,102,763,085,074,950,114,383,523,055,
022,901,313,229,382,579,150,886,101,762,167,101,061,831,518,008,507,781,755,
308,292,057,226,777,537,403,868,308,523,582,638,638,256,401,365,198,680,825,
215,150,004,025,434,049,617,215,904,551,873,183,051,249,544,199,790,528,803,
128,069,931,642,284,562,662,901,755,101,372,590,835,397,425,092,539,164,406,
547,850,992,167,405,965,092,110,090,345,485,209,002,879,929,889,109,765,904,
544,583,298,203,891,820,607,773,958,641,247,732,770,781,135,425,529,549,481,
572,076,634,830,121,389,712,160,873,853,581,747,573,739,755,538,466,052,582,
730,005,792,223,955,554,893,714,089,283,377,673,772,185,884,862,431,611,173,
977,445,190,776,432,484,694,053,019,029,657,539,412,886,576,186,476,758,676,
684,344,435,628,090,866,882,233,036,196,378,726,826,492,767,379,492,289,050,
435,578,705,215,568,517,011,965,714,804,416,866,572,548,966,630,078,734,596,
393,856,055,189,755,691,537,169,715,310,413,765,829,455,558,751,606,440,092,
439,534,501,447,620,675,425,585,388,737,420,514,522,253,013,990,236,154,205,
303,884,613,031,090,460,345,760,291,428,732,530,717,333,366,496,132,284,095,
934,508,963,659,746,747,203,173,528,315,377,013,966,377,005,155,307,209,569,
114,560,593,028,172,131,513,283,080,701,112,873,402,923,564,761,272,615,046,
881,919,680,053,705,089,936,803,138,378,170,596,873,628,368,986,456,570,898,
986,073,059,641,686,988,785,254,048,046,954,055,430,969,705,146,825,508,451,
653,643,089,335,592,851,668,718,095,716,141,452,465,888,104,827,705,946,333,
549,818,568,779,420,782,679,853,988,958,915,702,407,143,367,643,721,979,572,
497,366,887,974,466,985,985,251,665,559,414,668,824,713,680,420,430,472,142,
039,061,029,987,090,818,620,468,470,833,084,606,490,550,382,322,036,903,630,
033,266,547,243,110,398,795,911,021,675,520,319,684,295,575,384,840,440,023,
706,439,273,619,884,608,970,900,985,918,442,115,212,145,418,377,805,900,551,
242,138,915,424,490,975,420,166,846,917,972,452,010,608,164,574,493,680,378,
077,159,105,548,560,185,759,914,723,653,639,380,718,641,232,996,012,616,106,
195,463,488,716,150,915,076,305,827,093,832,214,622,900,178,120,282,717,157,
741,548,907,522,383,715,092,887,439,975,860,300,289,931,116,467,447,544,626,
255,498,798,817,115,701,845,360,260,788,175,908,485,814,016,348,657,778,911,
555,826,797,214,511,064,326,205,598,238,682,161,197,419,949,328,682,147,443,
605,569,002,137,015,937,390,351,518,636,414,109,960,207,027,741,981,607,197,
482,446,971,182,653,788,650,189,783,813,581,485,773,099,280,925,449,117,253,
268,560,152,259,838,965,286,849,005,783,542,231,868,442,913,762,090,240,431,
690,701,399,565,878,605,747,727,225,765,580,805,885,810,161,710,211,415,402,
270,111,116,039,372,579,090,790,093,062,310,610,138,898,878,666,675,281,365,
902,365,168,760,717,709,022,943,182,078,357,407,926,214,264,887,996,600,691,
111,621,668,846,619,642,019,118,413,896,441,053,445,883,407,027,292,825,361,
097,085,253,353,387,713,671,457,207,225,671,677,095,661,188,811,632,361,507,
751,766,451,521,762,495,964,798,054,967,956,025,156,816,957,550,373,634,311,
269,799,755,749,024,729,994,076,957,821,857,734,759,793,840,161,625,988,703,
427,691,714,937,073,394,166,949,262,027,926,353,865,881,714,977,705,644,922,
658,993,628,348,382,202,452,120,276,795,187,549,197,595,691,468,020,582,815,
191,686,473,450,994,228,063,952,686,111,016,166,157,519,323,255,741,221,705,
503,809,349,131,527,158,860,865,363,342,436,708,834,252,803,651,480,319,740,
928,846,947,544,386,629,677,821,460,514,321,624,512,839,696,736,550,330,925,
998,304,322,865,590,070,583,811,156,466,050,354,724,108,513,495,235,418,012,
978,054,637,595,426,297,821,284,604,026,861,246,198,890,969,904,938,803,951,
423,541,146,144,845,157,599,982,017,674,498,358,494,326,884,268,669,671,488,
012,525,121,570,612,329,960,949,993,796,685,469,168,406,773,537,024,065,057,
118,540,681,115,019,752,065,124,870,957,618,880,525,915,216,653,524,991,248,
543,617,231,455,571,423,188,583,210,924,583,420,452,589,189,741,552,484,303,
155,428,704,519,222,825,289,500,234,908,798,607,826,815,367,324,790,118,919,
113,053,306,778,200,147,360,671,395,173,643,641,827,914,140,181,063,586,795,
505,278,809,331,459,589,531,468,201,493,665,054,472,761,675,039,303,800,946,
059,235,133,769,445,276,212,950,010,104,567,588,569,278,261,569,244,985,002,
237,377,901,806,909,053,370,567,137,369,804,852,196,607,585,596,598,997,271,
912,644,893,053,328,314,455,032,314,077,182,443,931,334,720,790,243,514,762,
204,201,495,825,752,398,447,862,553,833,516,461,930,565,241,626,864,766,383,
463,574,645,079,048,898,008,024,621,506,616,411,834,171,616,090,290,192,409,
855,441,844,293,687,732,796,136,651,502,033,589,371,302,937,600,220,370,164,
689,232,289,982,166,769,286,986,824,150,065,968,653,853,143,199,685,998,148,
028,398,276,220,804,264,811,973,436,651,493,011,677,208,732,735,966,765,989,
485,518,567,231,717,778,185,342,689,658,812,085,193,359,298,298,125,476,110,
484,614,342,237,117,219,541,614,229,858,150,301,324,369,493,656,300,751,477,
094,770,244,852,177,365,846,001,851,087,392,910,142,726,241,216,520,465,818,
223,084,258,105,099,088,211,474,595,896,621,155,093,642,129,193,152,649,723,
376,723,123,867,699,803,526,995,354,139,493,593,542,514,537,229,863,057,797,
969,144,220,356,178,412,496,398,305,877,583,457,412,938,376,303,079,352,024,
298,490,665,517,213,861,198,638,464,960,683,023,712,690,656,471,569,612,101,
386,945,805,212,207,865,407,428,849,098,843,070,192,341,593,679,962,261,028,
961,726,385,689,243,710,821,092,093,267,344,317,593,594,855,883,438,384,918,
001,135,628,488,981,861,205,658,514,863,005,155,611,254,143,647,911,315,069,
872,890,574,433,170,521,608,449,097,685,925,325,547,481,335,882,981,823,448,
647,635,462,660,561,620,072,453,079,982,502,314,274,486,086,078,527,491,270,
981,749,994,338,526,175,336,687,660,453,793,678,919,177,189,762,082,917,833,
768,953,917,089,022,172,108,071,107,764,095,812,639,769,121,515,533,359,121,
838,826,286,530,647,983,093,684,756,553,350,443,993,925,631,410,510,779,870,
760,092,142,945,601,264,733,564,212,849,100,173,045,063,089,016,793,552,500,
409,012,134,459,564,148,913,074,032,104,755,683,622,206,249,459,375,451,560,
882,169,656,882,781,624,812,754,092,279,269,807,829,367,412,421,636,431,100,
717,218,169,547,663,829,997,220,586,185,723,833,963,773,891,579,667,709,742,
935,558,477,222,011,397,131,513,277,875,432,923,758,063,189,143,226,776,661,
207,955,261,159,073,582,840,115,264,406,808,860,288,749,813,096,424,610,826,
428,013,783,544,536,728,189,631,282,564,138,221,804,044,762,128,923,687,627,
338,057,928,102,254,560,317,824,341,258,600,240,775,098,643,530,162,406,335,
122,393,509,129,735,718,977,302,008,546,234,902,241,335,657,313,568,870,325,
462,116,981,703,106,086,847,194,455,235,645,346,985,294,149,719,556,078,757,
889,955,560,624,156,646,258,550,341,070,805,139,103,786,096,973,530,400,829,
302,175,759,062,230,230,420,239,497,655,278,305,125,763,049,673,845,981,658,
098,927,930,693,810,968,830,111,984,299,539,447,995,085,305,070,253,320,651,
797,310,482,504,669,050,103,302,600,035,693,510,749,174,886,086,011,844,569,
300,837,795,548,110,907,727,118,170,854,472,829,835,640,422,851,083,765,798,
028,953,725,739,648,103,586,764,448,466,356,992,356,469,359,475,317,607,530,
799,798,085,223,076,324,069,037,673,634,118,910,646,399,139,829,648,852,687,
476,276,934,161,988,575,446,088,566,992,090,942,016,979,074,239,584,713,736,
550,512,225,439,371,533,316,095,205,658,553,055,790,795,336,621,061,391,956,
839,057,763,747,597,748,167,195,699,862,421,393,734,065,278,228,729,154,528,
697,733,191,483,786,841,000,339,134,616,925,085,072,889,158,201,046,750,478,
204,669,569,891,136,286,786,658,238,110,340,268,427,060,526,808,342,001,912,
870,266,877,935,821,517,704,444,263,820,994,283,851,981,358,861,220,401,263,
955,865,496,315,444,691,082,378,122,976,565,869,214,962,462,693,800,571,887,
758,325,643,463,533,942,058,097,919,614,663,347,686,754,528,457,748,860,286,
830,864,863,034,559,776,962,758,868,146,301,941,444,060,301,373,226,797,059,
240,393,517,234,167,235,652,112,278,048,584,412,222,601,625,932,322,968,811,
284,281,440,349,176,099,835,264,699,172,947,183,021,153,176,244,296,381,096,
931,762,803,227,370,772,243,141,562,273,370,673,546,261,462,093,695,342,949,
608,932,695,663,189,363,215,645,654,769,198,364,529,043,702,682,839,093,101,
806,056,778,360,251,718,885,471,547,043,708,154,437,361,170,596,410,079,322,
923,748,639,264,307,884,082,602,646,760,870,400,466,284,166,206,317,912,187,
374,114,321,844,429,072,089,560,079,947,650,012,911,512,732,890,211,684,954,
287,132,285,963,495,556,578,652,117,205,570,534,773,323,585,098,685,473,037,
622,821,376,961,275,266,134,377,041,997,498,571,483,474,843,222,290,416,313,
766,511,367,772,716,724,357,188,031,582,525,076,682,939,799,504,808,958,511,
650,028,308,719,281,173,636,402,009,947,566,890,218,789,214,272,690,803,296,
387,168,787,465,056,401,672,496,377,437,683,440,430,808,988,909,696,291,726,
771,748,760,802,477,472,608,532,020,187,679,979,197,890,664,080,816,538,075,
260,581,304,086,494,051,654,044,388,517,046,445,000,313,197,847,147,595,012,
425,737,316,162,041,993,001,793,841,273,663,510,205,977,951,973,744,351,115,
938,894,080,676,088,262,507,817,822,361,368,089,495,194,790,174,078,629,584,
785,304,757,062,026,524,098,844,442,275,980,166,798,473,403,471,580,358,519,
851,576,740,405,855,133,851,095,116,624,823,028,827,660,572,449,527,192,170,
328,068,230,006,028,555,868,488,229,602,996,416,580,113,795,961,463,023,474,
823,979,976,359,047,145,834,795,943,022,943,209,992,046,030,725,761,673,611,
020,686,679,210,190,531,072,790,723,300,900,331,315,845,644,159,334,247,620,
312,453,246,078,181,066,733,201,235,028,211,044,295,527,678,377,132,371,845,
627,599,047,914,621,396,257,146,394,851,347,402,206,203,450,526,181,034,234,
496,680,058,869,325,175,229,144,734,444,028,350,887,039,852,156,064,003,743,
599,295,079,568,712,033,196,815,362,377,904,381,862,149,838,941,902,683,810,
710,361,776,906,354,630,733,787,581,797,176,746,345,415,131,264,187,853,988,
473,686,980,764,082,057,711,607,657,761,544,895,175,389,574,925,477,006,447,
713,342,350,625,433,114,746,320,488,188,700,823,202,105,306,243,972,453,429,
837,426,537,740,245,782,539,396,090,576,505,288,134,030,266,950,788,383,473,
344,093,088,685,853,578,778,424,042,086,570,264,051,647,647,558,673,614,645,
224,395,247,295,876,381,095,359,191,231,575,804,546,698,983,890,238,098,049,
525,295,855,634,762,092,851,941,558,417,186,130,933,180,418,066,064,394,810,
393,279,392,323,303,017,886,213,604,263,860,655,127,700,271,228,896,622,272,
774,127,191,410,493,877,141,949,107,640,772,611,975,395,918,916,915,218,664,
639,258,004,816,996,908,428,603,331,064,400,866,255,266,746,418,719,193,339,
853,410,837,800,336,267,980,384,381,507,813,562,781,012,261,870,793,922,531,
961,952,747,172,069,813,132,290,148,892,756,742,624,429,957,777,833,856,237,
211,390,256,420,452,878,067,800,838,662,120,056,685,039,490,801,658,401,267,
332,764,450,003,685,537,556,784,172,392,568,710,086,796,712,710,533,936,106,
551,255,209,082,438,616,052,554,217,933,817,329,160,823,565,920,225,740,644,
537,031,461,200,500,146,938,086,788,595,527,826,832,690,700,991,610,769,071,
189,374,422,695,161,108,924,045,626,999,245,803,469,496,362,929,097,999,976,
569,452,670,941,539,930,710,394,499,064,391,959,715,089,591,881,303,088,866,
096,557,217,416,807,758,606,882,957,746,227,407,478,635,691,099,660,792,710,
105,239,268,024,835,719,753,841,903,899,145,997,682,857,156,597,859,544,365,
846,727,367,201,348,928,906,739,447,954,649,324,652,357,053,328,963,307,487,
158,177,257,128,007,786,885,797,734,374,804,101,814,384,737,661,133,257,792,
088,793,852,056,353,485,344,819,234,401,731,061,472,329,521,167,831,691,186,
857,358,082,126,305,397,683,132,802,217,102,327,989,187,918,171,367,265,999,
331,906,188,074,824,286,581,901,308,323,623,507,131,646,028,902,867,232,716,
222,801,457,592,410,903,141,159,460,541,762,985,678,961,511,558,288,698,289,
748,754,607,037,310,736,241,140,700,176,906,168,267,476,854,937,188,424,221,
122,849,969,314,765,877,631,906,272,715,894,354,910,816,952,393,817,532,573,
953,224,926,243,586,014,026,030,217,216,175,631,419,005,541,628,439,184,758,
870,620,815,546,980,744,585,966,660,778,209,583,472,922,014,612,150,239,579,
692,699,045,608,136,055,796,332,050,463,343,427,251,326,153,617,430,589,269,
893,797,998,937,758,635,681,308,276,058,556,900,320,577,588,079,789,483,068,
501,565,012,965,731,207,398,586,202,828,635,919,916,905,213,180,938,164,926,
128,466,733,925,561,795,354,166,730,738,277,073,912,146,640,609,690,987,630,
036,483,992,404,684,406,898,937,039,217,947,987,364,983,583,442,906,156,797,
515,219,641,260,754,847,627,427,426,380,735,318,648,671,499,987,379,560,956,
290,580,963,329,647,122,513,097,951,888,861,695,863,043,361,455,907,533,838,
861,395,498,051,601,849,202,608,368,776,256,281,657,309,118,179,202,872,355,
591,958,634,121,954,282,157,262,160,133,217,963,259,690,552,970,329,397,453,
569,473,061,396,417,173,236,341,750,216,734,474,927,892,194,667,542,924,365,
947,417,453,719,675,321,487,116,936,183,589,527,619,469,850,212,742,146,162,
999,043,441,453,989,048,686,653,500,280,009,203,978,947,665,658,464,073,076,
547,704,128,616,307,218,394,672,534,117,454,316,371,248,168,664,913,924,893,
720,933,421,466,752,509,942,183,113,060,153,175,454,057,129,611,542,505,510,
941,676,097,792,639,237,033,234,591,072,964,806,769,358,965,089,583,755,557,
291,576,914,010,063,465,419,016,054,568,989,781,887,726,349,148,792,279,120,
013,699,474,803,889,617,242,732,238,878,980,401,653,288,141,535,431,975,913,
554,385,277,045,845,466,599,089,599,269,105,147,780,199,527,024,418,443,937,
708,095,474,022,324,311,922,043,794,860,540,386,452,850,152,969,752,052,822,
961,711,711,437,871,552,745,820,567,307,062,699,238,470,736,993,728,599,125,
709,231,016,612,472,324,170,711,521,947,600,705,657,609,849,409,127,732,304,
952,323,657,766,049,770,738,845,762,932,502,288,131,499,503,020,153,307,474,
118,918,734,915,986,470,734,637,551,804,659,739,399,711,718,122,055,611,002,
588,875,734,993,004,614,731,199,581,192,696,202,077,330,622,290,846,880,971,
809,803,183,671,391,044,932,829,912,273,902,632,968,230,646,203,388,669,884,
734,865,445,386,638,600,515,406,809,274,687,856,433,391,194,523,037,461,588,
495,763,529,585,760,259,459,813,706,076,110,837,855,936,428,504,073,141,856,
425,896,095,318,362,032,695,983,620,961,508,168,590,297,723,472,544,487,933,
990,054,795,771,030,539,058,760,869,686,435,394,206,495,777,184,946,820,982,
611,690,875,213,379,281,766,824,125,330,690,830,892,371,377,720,216,745,580,
093,345,348,422,527,795,233,224,469,378,942,421,557,047,022,963,792,040,023,
461,171,424,114,226,093,663,601,894,138,919,952,105,088,954,605,583,263,652,
667,226,112,558,464,873,937,854,733,040,377,203,189,133,677,495,256,415,890,
972,519,466,964,416,951,086,990,741,945,836,641,211,668,293,690,454,337,745,
487,384,474,455,285,045,158,185,284,646,054,832,606,311,833,034,776,942,941,
334,815,795,394,146,111,376,165,190,452,974,476,157,973,068,453,542,294,083,
980,563,169,750,784,553,394,035,159,545,711,549,255,897,609,110,771,419,120,
949,922,969,934,281,910,226,021,599,733,686,973,145,953,693,539,251,961,270,
002,503,295,389,276,115,571,345,313,526,974,028,284,876,682,533,999,460,166,
401,139,876,956,499,758,571,662,740,968,413,347,516,099,144,621,246,045,583,
921,383,609,567,059,873,752,381,824,073,108,599,106,603,556,425,089,396,940,
772,501,896,244,860,953,566,249,063,405,365,658,703,665,939,572,874,589,551,
472,112,368,226,370,395,004,318,964,882,576,556,977,197,886,507,749,678,442,
765,316,133,038,877,723,279,602,488,589,765,427,156,966,296,960,781,147,188,
903,277,545,043,474,597,488,709,003,654,438,420,777,303,623,029,976,292,524,
482,223,752,694,128,490,207,433,030,175,356,672,344,399,133,316,618,601,089,
970,161,322,219,143,657,936,261,772,767,464,743,052,640,723,553,606,599,931,
729,641,370,735,200,208,534,503,532,411,909,996,694,376,699,203,796,872,105,
236,087,668,888,672,421,861,801,872,910,219,988,273,045,507,423,604,817,572,
039,060,338,604,568,935,080,683,851,971,543,311,608,993,059,604,397,384,082,
447,735,356,081,553,462,405,027,403,017,522,298,611,020,072,381,932,823,737,
729,625,793,062,766,229,041,531,218,449,664,669,764,244,205,112,553,419,774,
846,451,012,197,578,156,230,453,686,667,926,571,647,500,354,466,228,251,581,
030,078,039,337,196,762,770,987,251,378,811,775,151,506,780,442,733,299,093,
533,172,169,133,369,458,335,513,900,303,962,885,766,128,176,967,801,282,084,
087,862,818,440,170,063,726,288,615,558,054,323,580,319,182,417,572,847,895,
161,329,193,406,735,190,737,494,052,200,415,528,047,884,184,833,034,135,557,
215,736,224,726,428,290,628,016,799,118,551,133,460,203,463,867,377,166,634,
366,932,232,826,445,421,841,818,773,787,177,326,402,202,632,194,570,283,487,
995,803,528,372,405,657,820,437,544,212,966,785,293,524,947,623,212,364,452,
529,448,074,815,962,117,363,633,867,781,892,967,015,610,264,126,770,650,747,
944,263,073,551,900,451,350,780,660,153,323,750,950,695,326,224,760,553,449,
243,362,150,257,259,224,306,815,939,960,078,896,597,824,545,446,140,005,522,
069,460,082,597,645,884,874,868,495,729,400,934,021,446,592,576,883,144,193,
020,747,742,835,143,564,544,289,551,851,807,992,632,951,482,640,585,966,297,
967,820,557,601,732,117,695,539,712,042,521,302,074,450,994,490,912,050,208,
443,557,291,403,071,835,513,635,269,461,551,043,057,814,373,533,874,821,476,
083,793,474,934,921,956,495,647,742,188,812,342,863,445,310,036,065,970,902,
096,234,539,895,481,403,130,516,177,429,031,315,316,875,749,315,491,170,770,
613,486,626,475,600,095,432,485,773,710,616,352,956,658,959,272,104,655,453,
103,513,985,941,546,939,735,149,095,339,212,986,983,185,902,683,301,513,086,
759,841,737,015,891,944,009,527,464,602,298,483,906,742,132,794,475,283,868,
475,343,853,092,392,606,332,869,709,760,473,364,239,233,428,999,210,423,124,
042,739,935,572,083,598,875,330,447,706,897,507,677,465,090,506,624,179,049,
411,455,502,123,703,901,941,447,886,015,424,166,973,147,337,410,585,848,116,
456,353,239,570,055,214,850,094,794,143,491,544,643,536,026,085,000,454,974,
832,134,186,261,028,749,041,838,706,855,979,328,922,050,350,021,683,617,942,
670,523,836,043,239,082,035,204,152,235,709,749,431,851,064,584,865,597,493,
701,717,410,004,461,595,647,017,910,252,188,711,204,839,311,090,010,847,982,
630,942,396,354,073,792,848,853,011,304,548,236,822,202,282,038,525,383,117,
744,042,028,912,896,477,889,859,369,851,305,489,366,279,753,634,891,943,278,
500,653,487,985,849,099,602,937,288,988,349,597,847,103,094,141,699,788,653,
750,840,896,162,669,880,179,247,568,564,959,837,459,920,476,960,228,441,156,
536,099,007,283,405,022,901,694,072,467,656,991,026,180,122,146,990,751,914,
379,981,882,483,962,529,692,842,007,912,424,746,977,082,394,118,155,983,756,
150,873,511,371,020,710,707,994,486,320,445,580,566,301,134,164,302,592,329,
568,976,555,834,074,597,046,908,859,609,791,857,839,432,888,255,639,864,832,
935,729,030,247,335,305,030,413,624,116,215,283,197,742,491,540,404,421,213,
274,262,363,056,441,843,291,618,598,662,506,988,288,790,541,060,961,158,971,
306,818,180,128,411,045,633,393,080,363,260,635,516,357,916,257,144,825,624,
736,041,895,169,109,792,100,076,839,894,105,337,305,165,723,839,012,281,009,
220,657,542,492,201,203,226,383,286,415,967,391,542,005,867,631,000,685,650,
424,055,534,775,440,147,713,518,987,378,749,367,014,485,895,520,365,857,396,
353,528,930,471,115,241,774,298,729,227,508,843,727,572,154,444,874,750,747,
489,013,248,312,851,371,781,005,753,592,120,248,563,631,659,350,502,806,848,
762,105,238,921,121,262,890,327,457,713,142,462,389,362,733,604,119,730,742,
864,858,264,559,285,427,014,261,949,305,365,018,659,768,556,603,685,489,052,
768,486,509,512,130,754,517,431,383,081,140,310,567,129,100,979,845,123,425,
592,641,724,046,536,567,215,476,610,937,791,535,569,215,769,419,550,020,983,
751,723,818,642,866,058,228,305,565,088,251,100,946,032,162,940,941,588,027,
158,132,325,621,543,305,150,448,029,530,131,529,819,842,821,843,117,421,504,
825,047,811,833,033,150,006,132,714,856,786,410,717,540,277,349,723,031,841,
338,963,200,684,847,533,738,389,224,093,775,821,377,952,852,805,514,721,418,
816,327,996,784,173,465,714,993,826,191,209,619,667,721,924,066,769,935,666,
717,958,505,759,243,741,190,738,957,567,618,893,383,142,595,840,591,205,899,
671,670,064,621,464,400,980,845,190,374,449,971,749,854,857,901,259,594,663,
325,070,344,471,042,424,557,871,374,911,089,780,662,884,999,760,231,717,632,
570,033,240,651,426,453,191,717,272,149,783,157,739,111,325,324,835,395,273,
381,094,889,514,163,119,612,530,224,611,238,515,348,541,769,661,142,343,227,
177,741,040,384,384,115,047,927,377,937,184,624,877,820,749,976,318,275,523,
766,823,339,942,116,445,885,148,389,781,991,500,592,508,840,588,194,701,190,
627,921,812,088,945,468,640,158,124,258,486,504,651,364,571,250,718,778,885,
054,377,774,475,356,874,776,726,138,302,013,322,341,027,432,120,674,167,755,
678,647,037,181,229,830,567,196,589,249,294,697,392,243,848,182,883,474,354,
814,255,057,722,658,017,616,464,826,130,635,593,727,703,520,934,646,321,280,
097,585,367,555,632,026,371,575,478,689,196,393,083,140,687,999,431,707,948,
151,651,785,939,385,386,884,910,318,264,730,618,976,187,936,483,767,414,756,
608,229,536,699,046,353,451,544,193,030,216,752,628,584,485,055,590,910,800,
858,521,420,090,038,240,590,654,009,941,059,719,544,388,281,366,909,484,007,
472,252,734,110,757,740,048,531,155,664,786,322,777,755,894,417,423,206,304,
584,435,511,669,031,151,578,366,863,540,565,510,165,809,587,540,773,825,877,
880,322,519,532,418,316,051,001,147,858,602,568,364,414,190,071,115,628,158,
483,851,101,053,801,235,539,960,473,510,389,193,365,328,042,061,116,799,832,
241,966,706,609,565,449,017,879,226,814,765,220,890,728,935,523,019,909,213,
256,899,093,620,150,449,576,686,690,500,706,210,994,326,717,462,972,563,578,
824,613,621,394,226,244,254,165,743,541,625,837,845,006,370,690,765,360,513,
246,700,094,407,697,486,352,241,388,405,504,404,312,980,145,865,668,841,693,
986,884,387,335,737,477,976,359,198,728,932,808,910,662,607,924,165,479,638,
551,704,840,169,544,326,851,772,295,777,746,993,193,320,103,518,432,223,527,
710,455,255,414,939,785,849,375,766,166,319,489,764,141,343,604,049,703,645,
683,801,594,122,673,299,695,740,854,336,077,562,789,448,409,844,244,933,116,
717,150,462,727,033,541,536,972,511,498,827,760,778,657,686,828,815,250,943,
325,277,904,599,833,882,767,837,555,832,985,312,457,981,768,706,899,023,818,
475,140,106,192,695,730,567,982,528,976,802,390,717,133,485,062,422,786,955,
328,212,482,936,970,673,937,037,763,237,229,577,289,241,432,845,531,501,024,
531,172,393,565,164,362,021,925,664,031,062,638,156,583,256,586,588,479,485,
397,513,627,937,816,577,687,621,083,546,632,371,314,399,309,831,759,075,260,
772,152,966,862,941,900,122,022,035,725,851,773,498,846,835,331,921,864,151,
612,850,249,939,392,072,743,816,551,153,749,767,288,269,629,006,274,807,511,
210,318,515,165,459,286,669,132,067,167,334,522,281,362,985,843,159,781,628,
436,397,920,837,696,168,571,510,955,140,381,989,300,738,488,835,863,248,457,
603,354,488,775,665,522,421,890,121,114,998,584,925,324,657,290,147,175,301,
251,168,439,390,611,216,150,447,470,525,020,870,953,277,021,815,445,977,211,
201,033,207,237,811,209,976,045,519,476,867,746,430,817,827,485,416,151,920,
324,453,279,113,174,651,074,360,358,356,290,382,880,984,288,897,392,707,016,
304,586,906,135,771,723,692,458,610,228,630,807,063,998,154,544,617,421,513,
690,640,740,791,435,597,242,042,450,687,057,563,574,603,505,362,917,391,164,
038,641,723,460,900,040,430,040,138,643,891,084,194,900,898,754,845,018,853,
690,144,276,113,647,165,259,932,505,864,416,072,346,824,249,026,245,201,636,
072,703,554,552,307,088,751,159,347,152,325,644,879,555,449,943,700,730,772,
218,427,218,972,190,174,421,565,353,926,030,259,089,544,973,540,064,960,964,
756,677,335,458,923,824,991,972,138,302,934,510,825,285,958,560,525,580,322,
183,928,359,124,871,728,976,979,804,825,797,103,548,626,944,499,578,609,907,
336,729,315,547,291,160,115,463,754,175,131,235,183,250,897,006,496,254,028,
600,470,459,350,445,029,991,187,457,720,408,161,307,167,412,434,943,745,013,
153,171,495,648,228,520,771,551,044,668,642,289,300,185,298,812,408,701,719,
986,382,159,311,118,338,426,915,842,436,691,471,830,679,049,654,624,298,040,
630,274,370,399,743,889,062,615,528,060,906,896,086,778,429,586,762,588,668,
870,431,792,109,909,549,993,458,474,556,380,134,768,143,335,533,558,821,314,
420,692,045,980,675,901,717,303,610,636,700,853,346,609,241,094,127,122,857,
776,315,313,094,507,755,073,839,798,615,540,033,002,832,735,586,853,470,284,
138,305,203,270,275,392,162,208,698,152,408,236,731,855,162,869,222,061,061,
527,193,631,674,265,756,843,539,299,342,507,322,779,065,359,854,243,484,832,
771,325,455,610,732,710,509,691,640,184,946,828,028,216,162,478,100,656,048,
404,499,591,000,459,400,256,618,051,191,977,196,091,118,145,748,167,828,742,
924,010,621,404,799,725,406,494,274,631,901,006,044,841,026,056,532,527,801,
257,932,582,932,033,280,016,287,863,735,946,285,245,698,879,732,844,885,356,
281,780,396,171,497,426,142,836,497,723,993,790,750,676,353,840,659,129,565,
688,749,722,626,218,582,413,624,717,730,996,487,513,220,200,611,249,973,811,
088,622,839,968,056,097,072,403,246,200,755,356,218,939,328,121,790,922,155,
421,402,129,323,932,923,118,663,182,721,138,401,113,933,794,228,294,537,214,
187,168,870,105,526,241,835,660,401,396,726,229,284,519,801,845,596,223,051,
012,762,203,896,489,858,376,108,170,130,586,374,882,394,143,863,740,451,713,
713,857,146,519,229,323,435,357,714,111,871,888,072,863,585,149,967,300,333,
622,697,563,794,942,348,319,437,889,207,514,304,749,216,135,880,510,900,035,
586,159,567,278,301,410,683,221,716,264,161,353,830,163,906,541,587,629,107,
716,935,319,486,243,480,844,683,373,470,829,721,767,410,603,935,568,755,979,
257,608,923,255,666,332,050,473,286,196,827,348,001,791,637,330,752,752,720,
417,249,033,970,150,872,598,186,217,808,867,287,725,105,573,597,683,201,987,
302,292,536,987,189,180,318,074,457,267,054,175,413,205,108,842,854,475,505,
762,198,520,670,266,389,864,300,325,059,523,321,054,759,706,557,177,633,955,
373,438,210,202,409,262,895,099,786,137,435,959,130,817,482,335,516,853,207,
029,244,450,321,424,957,073,875,263,268,485,378,311,081,042,150,884,592,630,
244,717,361,449,471,740,939,640,701,295,690,473,357,459,888,498,409,701,405,
914,946,081,988,442,390,935,787,975,930,165,279,211,270,249,598,944,382,277,
205,962,537,773,364,712,498,163,453,517,246,166,053,344,361,306,013,092,029,
921,924,377,661,587,164,252,347,253,313,328,488,913,644,521,887,435,103,221,
260,858,638,372,697,325,099,873,099,745,844,623,665,227,219,611,745,327,637,
072,618,327,465,802,149,203,408,281,795,770,485,133,061,042,549,526,713,846,
412,220,050,682,227,939,391,768,342,558,823,967,804,204,402,625,100,172,971,
542,432,222,305,254,233,955,597,240,451,347,328,428,593,639,397,509,180,575,
184,903,919,256,661,103,776,830,931,313,330,213,728,135,289,975,848,219,951,
431,498,115,644,752,606,504,860,593,315,019,838,700,539,155,102,421,164,205,
963,344,900,147,190,560,224,532,225,307,771,574,870,300,840,719,552,291,098,
195,763,173,037,443,787,720,304,910,085,070,143,041,658,010,036,560,779,926,
688,662,094,962,845,649,236,557,468,457,389,686,841,872,214,009,226,546,427,
009,231,856,589,408,290,211,653,103,543,081,594,627,098,335,202,465,793,433,
306,218,303,549,406,258,522,808,760,215,851,219,520,250,965,783,670,588,272,
069,818,512,594,940,134,429,721,994,221,138,092,080,021,108,648,280,403,209,
642,659,864,171,054,737,476,212,264,592,347,153,915,311,537,560,050,624,777,
246,573,331,946,758,665,131,519,831,273,357,591,290,315,401,019,849,729,849,
595,963,833,686,337,812,571,819,376,822,752,131,890,413,069,886,700,283,548,
220,242,359,566,394,116,023,159,123,999,816,368,495,416,817,435,319,111,716,
597,815,426,949,372,989,749,175,127,100,524,159,954,574,304,705,783,448,396,
025,524,463,789,946,920,546,916,741,827,264,356,807,557,658,828,971,430,582,
288,266,923,210,235,674,931,532,415,560,568,662,289,797,142,946,448,882,815,
549,026,932,987,985,309,384,873,774,751,964,647,093,064,576,239,404,618,426,
886,802,595,299,166,304,226,484,461,797,544,034,267,448,935,713,057,754,864,
191,380,686,218,868,785,505,500,318,246,237,022,320,816,468,995,231,338,506,
400,446,236,991,176,146,228,078,188,526,213,036,514,515,824,486,592,607,852,
029,954,047,873,884,006,672,304,107,684,653,706,863,950,052,738,175,478,752,
932,945,897,869,785,986,111,118,907,052,417,122,608,553,498,716,253,493,264,
883,374,112,817,147,178,316,164,431,126,259,943,543,060,149,311,709,147,456,
103,128,719,704,855,764,197,640,147,586,175,531,919,579,609,712,343,667,797,
556,764,619,666,333,279,867,103,922,057,689,912,019,320,025,922,323,107,441,
712,790,140,788,856,701,115,259,446,331,909,170,832,216,394,345,432,966,243,
509,524,083,696,908,426,292,200,092,150,163,631,168,170,705,888,302,645,158,
863,680,625,986,593,187,480,222,954,142,405,532,946,929,664,461,808,057,217,
639,069,260,101,236,840,880,787,358,194,919,514,481,607,673,057,512,503,998,
035,904,081,875,574,123,290,968,036,536,380,856,041,688,186,120,854,315,242,
887,816,911,982,909,518,191,842,078,717,035,303,178,542,699,651,716,367,078,
359,662,830,950,578,267,584,812,502,317,538,666,817,862,252,711,649,435,051,
861,678,721,859,222,190,769,568,278,396,833,720,504,495,603,520,310,753,282,
972,709,424,513,296,065,937,718,131,957,904,267,575,952,072,101,303,988,610,
227,620,624,582,090,591,795,820,478,057,703,072,938,930,622,924,228,611,630,
121,657,211,863,646,770,038,586,606,126,023,238,630,618,334,521,914,687,149,
346,269,319,331,379,724,977,947,751,268,862,087,019,423,341,621,865,746,993,
332,733,590,196,210,321,866,835,791,235,091,992,538,754,659,112,849,079,407,
269,159,045,321,153,404,037,133,009,848,394,212,842,643,975,940,775,460,600,
879,501,607,357,804,725,883,584,867,356,517,462,148,772,857,461,508,190,792,
317,425,027,690,259,249,263,543,359,208,834,938,386,647,741,766,556,082,289,
172,539,918,221,377,739,342,557,012,064,073,140,711,370,136,954,833,399,302,
082,228,480,728,910,779,069,845,838,280,155,637,042,765,588,110,172,219,612,
017,808,223,426,439,283,723,426,020,238,900,293,850,188,346,730,460,504,508,
201,391,528,808,655,752,847,019,297,257,808,690,655,955,435,740,164,188,753,
674,519,794,862,448,258,913,075,503,227,104,319,455,116,199,318,752,471,943,
353,641,047,741,032,376,748,955,422,293,328,906,683,934,784,240,770,992,779,
139,134,239,023,661,491,135,182,574,305,960,759,941,233,050,170,293,011,500,
636,092,561,431,885,636,499,243,145,219,549,996,920,472,716,638,667,957,493,
871,965,399,059,888,727,155,952,536,441,432,773,243,235,666,909,968,348,389,
038,262,118,719,071,322,416,808,151,061,488,809,712,855,684,481,671,901,240,
579,996,040,682,007,038,495,887,109,461,525,784,041,237,785,334,081,363,820,
495,995,808,594,235,859,049,410,388,786,787,986,329,672,885,086,211,240,839,
860,355,725,431,737,449,727,680,268,963,222,314,253,325,123,525,958,416,322,
385,047,817,584,065,715,874,865,857,069,673,506,696,661,962,596,821,545,714,
225,756,161,972,193,280,303,478,188,656,178,928,267,169,166,391,819,941,788,
332,755,098,280,782,620,753,323,251,859,681,744,505,205,701,671,204,919,571,
413,399,325,287,155,230,231,834,655,653,486,678,302,941,046,525,511,464,357,
308,663,002,372,869,312,589,178,245,656,226,786,632,225,196,923,366,562,136,
785,637,832,038,599,728,944,872,253,039,273,260,142,002,019,571,673,093,884,
903,101,374,080,629,180,128,649,294,292,933,666,552,923,532,278,897,200,534,
353,209,755,973,504,097,701,541,733,159,912,840,855,047,355,414,239,626,044,
070,178,067,251,760,932,375,348,104,652,541,925,744,950,935,024,490,072,653,
447,946,450,052,555,805,215,048,770,267,245,217,657,425,791,848,007,605,581,
561,008,271,913,242,678,694,274,807,412,185,152,748,941,563,196,060,398,970,
619,423,096,124,135,971,405,834,700,374,185,494,587,715,823,411,796,915,632,
216,338,429,193,380,297,950,103,756,946,859,151,609,601,371,930,602,779,996,
986,230,813,986,084,512,713,647,440,402,334,496,919,562,430,524,330,573,623,
246,765,671,823,361,094,416,615,668,378,384,365,884,655,849,803,607,814,903,
609,618,301,945,199,444,052,696,809,042,408,394,811,650,846,730,396,260,184,
333,952,636,687,700,896,477,951,627,000,336,238,705,476,923,943,525,500,907,
844,440,451,022,837,525,679,408,241,157,727,478,029,843,887,128,994,378,378,
322,952,633,615,868,079,045,390,526,826,301,853,434,582,956,587,143,266,564,
892,338,976,654,180,490,268,692,460,049,904,158,404,758,815,242,627,081,564,
004,246,600,319,492,889,777,351,202,592,308,059,414,748,513,416,119,162,861,
234,370,862,927,085,836,996,879,045,888,337,792,449,639,179,399,964,512,686,
064,565,603,778,656,086,782,014,089,517,062,086,368,706,544,692,882,933,394,
497,369,343,142,054,677,688,680,102,333,100,842,400,519,260,468,131,286,949,
669,130,509,213,447,524,988,264,066,535,123,604,424,948,819,885,407,948,025,
425,441,369,849,197,115,698,324,618,321,382,086,082,607,797,697,062,757,602,
258,820,578,269,500,985,311,926,637,132,436,518,613,476,279,605,662,189,699,
095,516,826,785,659,859,068,524,221,259,394,552,906,530,159,646,940,847,383,
493,486,765,632,028,064,163,235,895,688,783,903,797,704,457,843,471,011,952,
966,377,586,302,372,226,861,991,165,175,043,546,787,700,312,772,326,305,699,
185,751,652,193,884,449,143,215,984,028,956,734,590,383,755,436,196,500,167,
931,280,296,782,791,281,424,664,819,508,116,739,764,127,760,104,143,539,359,
559,000,950,266,517,712,289,432,094,800,797,169,238,377,646,836,425,020,381,
674,577,266,498,453,207,383,556,331,478,016,749,750,553,592,829,976,647,084,
528,574,396,793,715,088,315,444,935,719,457,623,567,593,953,584,158,088,005,
525,540,604,272,058,464,546,733,484,792,203,840,619,396,221,113,436,458,215,
992,605,776,236,383,410,324,342,334,830,659,824,295,063,089,186,717,674,537,
000,327,928,713,564,565,362,219,327,181,916,473,082,704,620,699,408,009,193,
098,362,410,426,311,506,786,207,355,209,774,492,806,475,754,205,241,617,352,
400,375,012,337,841,861,077,861,404,899,968,168,703,677,107,094,100,450,301,
476,923,170,920,610,300,350,674,421,507,994,441,436,615,858,296,733,073,364,
929,284,592,189,280,881,595,384,505,320,712,504,080,477,373,341,665,998,306,
178,186,514,895,608,539,707,233,443,996,914,486,063,653,823,709,246,973,427,
926,325,631,009,048,794,566,688,539,983,039,531,902,140,671,928,714,516,712,
121,676,250,639,774,758,024,511,199,816,857,595,493,565,339,781,701,590,157,
006,969,687,458,596,934,301,627,928,750,139,608,752,440,471,988,962,873,689,
652,429,189,408,568,020,979,612,615,325,791,469,357,703,577,034,918,490,553,
213,709,909,854,090,959,102,521,006,745,248,029,528,706,848,554,381,872,285,
475,595,491,460,439,236,522,800,152,423,914,037,697,587,479,959,253,455,058,
084,802,147,037,936,334,965,878,907,360,278,719,948,845,939,675,746,433,890,
949,733,995,909,783,140,531,085,362,382,487,964,657,782,828,188,774,168,411,
042,013,997,667,435,471,632,796,348,413,298,352,445,600,939,395,639,181,874,
673,009,084,056,519,915,112,724,198,464,216,113,561,246,986,940,849,442,587,
356,352,291,837,501,336,650,395,134,976,065,638,202,198,985,772,795,511,136,
584,524,353,252,413,120,478,447,251,940,673,711,726,761,680,169,520,770,738,
357,764,154,924,136,291,321,722,958,256,453,777,385,969,146,221,245,931,220,
002,566,720,125,991,138,097,548,677,220,452,754,544,395,557,299,396,555,436,
905,115,479,322,378,093,332,752,762,025,286,627,111,599,236,104,273,080,782,
345,165,975,515,554,363,439,829,952,722,906,214,654,761,114,163,710,731,010,
915,825,025,572,023,427,375,639,538,023,162,112,841,875,865,849,026,181,586,
531,629,521,273,283,099,416,638,616,662,074,367,344,679,749,449,733,203,908,
101,868,048,569,093,036,150,198,100,990,270,501,565,416,036,883,245,559,279,
649,321,076,721,249,588,081,206,379,706,834,811,064,397,427,918,792,611,605,
085,395,678,968,571,145,762,689,312,885,234,729,125,759,747,023,695,013,319,
158,960,065,644,371,878,744,608,045,422,180,032,904,946,346,237,912,176,251,
860,695,848,320,821,592,628,354,792,863,947,381,373,298,795,354,290,744,186,
425,169,193,069,932,067,931,736,058,556,091,671,916,909,712,712,376,658,799,
997,406,008,021,090,685,404,407,954,434,540,765,774,916,592,803,292,584,438,
356,661,909,533,241,448,303,390,351,927,294,372,367,557,386,252,865,973,406,
400,998,068,132,357,952,327,181,746,812,715,075,053,096,239,763,041,502,026,
909,455,050,563,370,411,929,898,484,387,383,009,448,435,594,671,497,222,979,
174,026,753,095,834,135,671,428,297,406,245,262,237,593,173,534,758,242,956,
579,702,139,593,167,212,185,447,271,436,258,653,355,395,387,148,750,006,515,
017,130,994,854,014,128,340,881,596,969,155,786,763,298,445,865,559,439,749,
556,396,280,918,012,314,464,878,828,905,493,943,907,073,724,915,073,226,839,
199,245,093,502,889,660,407,353,718,546,208,583,590,371,913,033,711,097,926,
270,895,319,115,653,706,297,938,658,240,358,445,256,869,608,665,102,303,897,
941,180,184,848,737,977,501,959,802,964,852,540,628,852,272,088,719,985,021,
853,750,359,436,410,608,642,460,386,734,976,054,517,076,815,829,831,264,960,
902,184,764,048,570,728,883,621,516,302,475,806,092,505,297,846,328,202,199,
487,103,807,773,470,052,711,931,890,084,974,037,236,172,091,512,931,117,303,
272,555,419,944,248,679,884,696,861,496,676,261,236,925,245,285,380,747,031,
519,126,615,233,558,726,558,781,532,203,135,394,740,247,303,950,568,977,464,
549,036,900,194,773,379,663,330,960,831,153,182,337,428,356,936,716,817,918,
549,543,383,726,949,791,113,939,301,293,682,706,968,885,156,055,159,759,955,
361,842,384,591,868,189,417,096,259,879,360,301,082,715,977,515,477,131,579,
257,939,346,361,240,759,153,934,959,139,328,427,007,788,985,110,591,717,048,
170,224,661,064,425,239,887,395,926,508,770,498,937,137,618,114,041,408,410,
903,030,362,789,500,147,487,648,515,526,630,971,531,358,823,333,512,217,497,
468,450,783,885,295,294,747,627,961,347,176,815,710,290,815,157,107,898,693,
239,601,703,562,455,612,975,111,736,969,318,765,192,121,768,574,406,718,507,
520,541,791,050,077,371,763,212,971,301,827,334,382,704,911,667,059,278,612,
824,160,240,083,237,034,102,042,996,593,667,308,435,569,551,797,674,370,841,
444,666,223,911,901,709,908,211,466,906,605,797,537,019,471,698,492,329,395,
694,544,019,033,083,926,566,038,121,972,452,497,354,590,672,811,381,798,516,
090,528,307,532,386,026,148,680,618,309,565,712,966,595,813,565,813,076,949,
254,995,559,057,584,307,640,237,470,926,697,591,493,864,923,773,974,613,232,
796,835,076,361,281,755,709,569,366,476,880,463,661,470,456,382,856,004,493,
492,160,313,132,666,640,403,060,546,259,686,068,215,307,416,476,281,691,025,
016,155,767,982,109,847,723,013,056,391,976,497,595,897,186,161,324,891,957,
702,596,462,801,310,568,974,730,256,606,785,662,811,760,542,433,839,698,735,
106,166,334,972,603,002,262,506,976,617,516,861,165,579,704,583,330,133,315,
680,674,891,063,728,158,814,071,454,747,976,147,399,425,788,359,710,303,064,
985,733,444,304,391,895,793,960,208,613,082,813,328,243,059,327,743,609,915,
220,385,789,689,472,815,250,294,291,383,968,645,194,614,498,533,574,432,560,
918,164,089,769,315,778,318,303,504,869,825,002,508,959,604,047,901,882,817,
852,352,977,710,259,423,148,435,963,513,372,126,211,549,616,163,923,580,964,
030,710,485,192,795,801,225,504,503,794,856,363,393,038,992,447,685,510,003,
893,933,923,273,906,342,972,884,822,534,764,432,765,892,781,472,912,925,126,
496,666,544,660,665,893,985,896,478,482,640,508,773,690,736,927,813,243,303,
662,530,357,075,322,067,678,488,837,697,219,748,728,877,478,264,139,967,834,
352,972,662,883,334,512,987,951,989,450,865,349,278,452,899,792,775,614,625,
064,339,204,468,119,152,593,323,606,435,586,693,401,756,217,562,415,628,437,
304,162,032,255,175,585,715,391,992,920,410,033,065,105,747,299,075,186,637,
741,981,476,925,171,822,131,097,297,285,541,026,950,960,646,765,748,330,947,
122,743,817,710,953,789,674,919,640,946,641,454,530,607,334,314,517,893,513,
039,248,714,152,780,164,806,664,358,586,224,446,258,455,288,060,756,381,679,
550,945,664,576,365,689,896,833,727,631,969,498,106,909,945,334,048,068,236,
957,466,894,374,924,583,559,829,899,112,206,914,912,328,770,065,952,881,424,
993,008,544,505,403,197,531,970,788,852,505,677,704,646,091,656,748,395,285,
145,028,195,757,358,458,818,831,526,773,841,660,314,773,765,875,246,554,178,
769,684,265,720,317,891,328,675,279,361,393,140,143,206,616,058,153,438,070,
176,869,018,174,387,700,321,449,998,557,203,207,223,823,165,758,634,018,835,
421,846,712,344,957,970,537,437,853,866,543,008,887,607,598,738,714,723,051,
801,017,226,466,984,032,649,064,202,431,644,895,003,058,566,049,615,532,814,
717,850,192,233,618,349,017,762,225,161,279,787,168,366,416,818,136,371,065,
274,726,222,460,043,323,266,771,079,715,738,668,530,765,785,731,085,528,955,
112,927,202,326,442,947,656,184,240,678,960,858,275,762,570,479,658,448,737,
060,168,828,346,183,131,369,287,453,466,003,253,106,093,244,221,419,355,910,
993,737,385,237,030,374,279,456,983,547,536,631,586,785,885,649,931,504,704,
181,727,319,131,979,948,409,421,047,445,122,452,296,783,073,187,166,685,890,
908,757,475,871,122,327,075,603,489,399,606,381,215,824,561,698,958,474,836,
011,725,942,537,503,584,877,786,542,795,569,491,320,653,659,599,226,189,469,
337,894,708,318,829,582,374,458,651,873,200,391,064,018,221,916,935,865,431,
496,147,368,588,004,885,373,729,243,861,525,086,140,699,770,532,887,255,429,
741,736,621,770,127,113,002,325,626,930,067,172,795,789,364,738,276,202,155,
740,392,165,663,983,968,061,461,730,107,696,125,119,439,131,966,259,503,068,
953,427,943,164,040,863,966,058,910,585,797,960,582,087,684,844,186,895,081,
885,551,965,182,605,180,887,357,446,614,528,074,492,884,861,345,982,087,664,
366,661,249,983,012,468,014,088,640,264,341,722,910,591,989,827,627,300,756,
335,287,624,598,327,404,606,166,618,095,806,675,655,092,594,798,759,780,950,
309,081,850,691,346,016,675,469,296,573,782,869,159,542,720,370,360,653,700,
462,346,403,742,401,094,008,435,564,784,255,418,064,250,784,692,479,291,392,
053,271,388,380,083,727,914,737,994,796,690,370,647,307,172,555,554,880,992,
597,060,674,630,565,588,747,789,290,120,472,286,881,925,226,398,879,612,598,
439,389,909,591,085,530,114,321,843,152,398,990,958,796,882,364,071,670,005,
367,979,564,225,852,465,672,204,789,444,138,777,161,204,715,580,007,058,264,
562,437,667,051,390,153,890,307,614,495,509,122,660,632,955,928,506,489,741,
868,815,232,660,921,493,870,983,772,748,567,067,903,454,072,738,438,144,387,
264,062,129,826,709,333,016,374,996,268,013,093,359,988,693,906,440,197,226,
940,005,770,731,031,028,605,169,262,256,995,144,357,574,572,688,158,988,171,
585,041,985,776,499,631,612,067,432,187,292,285,889,567,796,306,560,156,888,
374,600,544,774,361,323,257,495,615,858,737,344,065,461,596,788,750,119,469,
952,343,265,474,999,854,835,458,623,091,297,031,619,938,192,527,567,735,750,
001,118,953,667,902,960,195,490,591,596,814,279,317,836,193,042,610,150,586,
720,440,284,357,256,959,707,803,938,408,869,892,889,244,793,279,562,574,185,
887,861,495,604,084,151,735,530,384,445,292,849,876,040,080,372,011,642,666,
530,936,971,265,722,804,104,098,929,518,285,604,558,448,840,557,557,747,844,
353,763,078,074,911,928,348,094,985,703,359,957,139,418,483,836,585,818,423,
012,924,825,297,810,658,019,196,952,474,987,714,160,946,327,993,360,811,594,
545,029,359,754,368,063,873,401,559,463,424,873,230,805,907,083,958,979,963,
291,449,436,648,335,198,367,100,630,557,714,611,824,160,102,586,578,595,856,
058,806,455,065,037,060,951,935,671,097,362,617,212,467,416,840,605,409,160,
896,709,466,900,285,084,148,290,979,898,494,041,105,774,285,814,967,261,698,
244,993,044,627,044,809,095,147,071,114,794,116,656,495,664,721,870,544,708,
457,131,178,953,309,237,635,942,758,513,594,923,506,207,429,954,351,057,836,
677,247,817,404,415,976,854,689,411,334,605,025,703,355,693,115,061,392,758,
843,186,536,036,083,636,331,895,348,147,901,380,550,530,863,778,021,791,255,
459,517,132,420,172,898,885,290,410,747,560,642,952,260,848,017,450,014,255,
356,607,495,482,156,507,592,747,139,870,327,419,966,984,468,910,396,238,850,
649,523,689,973,056,083,180,055,372,086,094,447,385,730,217,949,747,306,582,
338,320,179,900,009,100,826,486,348,228,817,375,796,805,521,852,737,769,994,
526,073,148,591,812,660,032,059,250,723,484,789,990,451,014,418,801,249,187,
792,857,701,028,516,566,310,857,843,583,805,507,947,358,690,712,099,289,930,
976,847,048,287,085,799,349,647,165,546,877,273,268,968,031,769,456,708,437,
359,975,765,606,411,288,686,408,256,771,395,271,520,006,795,566,447,822,989,
994,745,941,263,116,890,529,218,953,990,179,760,251,353,364,448,464,092,016,
955,867,228,432,889,729,917,154,595,004,709,654,722,112,212,024,166,015,289,
536,713,564,840,724,018,935,547,506,595,426,311,429,792,504,849,515,093,820,
052,976,402,883,231,953,370,381,303,873,294,329,461,541,040,871,947,980,721,
525,094,285,819,644,490,867,041,607,406,222,946,473,590,009,244,768,382,627,
676,520,147,998,359,522,260,001,837,786,083,965,312,654,138,984,623,472,092,
028,729,609,918,909,060,852,549,994,273,671,804,227,452,911,588,919,170,202,
136,385,375,581,559,798,522,202,110,101,593,469,730,492,229,275,154,352,848,
154,935,126,442,367,711,566,584,786,845,225,939,257,818,769,093,236,804,796,
314,143,559,852,451,233,505,577,859,921,753,212,829,054,393,515,051,771,596,
279,165,077,428,271,335,718,743,775,119,479,876,519,794,539,344,815,063,162,
448,913,662,121,341,850,501,179,063,748,783,238,867,009,122,645,977,419,845,
464,326,477,899,128,386,672,320,319,005,469,405,834,285,635,868,707,121,216,
369,449,947,609,554,549,559,099,002,437,910,852,320,006,039,852,064,934,855,
912,622,132,122,216,760,583,173,114,271,060,029,718,289,037,551,809,168,192,
447,320,653,597,707,944,686,565,095,624,415,269,723,031,997,208,012,183,260,
950,196,703,177,268,816,358,818,612,444,286,786,037,772,754,639,874,489,872,
144,222,976,434,009,871,331,144,811,747,980,495,034,837,496,913,271,106,570,
659,838,627,229,885,810,254,488,848,075,225,008,995,867,911,239,528,735,850,
988,530,328,876,207,337,997,428,831,686,254,584,520,015,960,802,536,484,644,
647,319,206,452,488,645,186,018,405,505,614,699,608,571,984,865,881,098,985,
437,563,635,664,468,953,352,065,900,346,439,152,696,665,875,149,792,438,056,
105,604,374,712,715,955,216,937,144,564,734,370,186,230,331,674,102,092,412,
495,754,893,260,457,333,051,829,832,818,269,887,919,474,671,166,815,465,791,
494,889,504,224,665,616,154,219,816,378,721,077,966,127,735,705,491,143,889,
919,591,433,369,662,125,288,757,439,831,011,277,729,485,730,696,759,005,275,
533,743,787,147,371,833,553,947,763,932,290,499,186,071,373,873,714,514,219,
618,906,939,934,382,802,450,758,773,131,537,544,858,737,335,277,296,562,678,
168,982,181,477,399,391,053,192,865,464,672,108,636,932,277,175,719,866,011,
375,207,093,337,840,323,485,653,639,093,612,277,030,466,598,391,748,972,566,
212,801,724,678,655,693,537,131,025,676,006,912,620,072,997,260,233,501,742,
899,947,633,809,112,420,090,443,170,606,489,157,673,399,026,696,456,639,910,
508,321,270,067,974,284,806,183,509,087,282,163,125,846,200,347,261,553,867,
776,198,459,656,839,954,833,455,016,400,959,076,802,045,711,129,526,346,287,
795,395,925,199,661,582,833,868,415,559,277,161,222,433,976,547,904,365,070,
152,559,235,664,540,343,109,578,641,919,656,273,934,947,916,024,329,438,082,
931,723,109,574,863,089,093,302,608,577,872,034,891,449,751,607,764,466,192,
709,784,798,547,255,446,079,028,483,032,344,200,947,136,283,924,823,561,643,
778,515,934,650,968,665,097,402,739,431,043,845,473,824,192,608,065,820,625,
782,503,596,854,117,357,689,427,930,584,400,005,918,169,329,052,062,962,091,
342,736,194,209,444,656,280,283,229,309,531,837,136,216,255,919,342,103,735,
932,968,443,361,707,287,117,160,751,856,213,017,183,702,966,288,201,599,834,
490,405,946,112,161,711,874,416,874,039,030,155,444,780,255,766,047,593,971,
357,759,654,126,967,936,646,346,966,612,272,270,487,756,013,176,578,735,899,
677,993,491,300,649,161,255,615,570,985,440,292,008,222,024,778,181,596,038,
302,918,737,699,585,576,131,501,895,214,012,093,132,233,988,268,447,766,612,
166,272,567,487,765,939,301,077,743,118,810,529,281,296,875,716,339,204,658,
912,552,130,298,978,448,626,130,770,949,184,498,716,956,360,027,924,136,393,
594,069,843,987,224,193,844,450,167,728,314,722,075,508,825,615,176,247,448,
446,261,489,254,591,316,448,362,750,330,780,534,611,640,776,091,675,417,925,
813,379,267,520,533,229,579,322,360,892,052,134,058,199,882,687,408,899,018,
869,270,565,416,334,755,312,987,069,689,588,709,578,714,689,389,659,508,067,
801,428,088,685,913,564,290,831,092,135,672,582,164,100,981,538,241,578,935,
715,049,762,572,624,607,917,048,324,553,930,970,525,220,826,838,901,603,663,
426,866,544,367,975,739,592,017,251,409,928,651,548,585,033,927,126,279,804,
366,547,374,788,431,555,994,379,929,549,583,422,551,381,122,854,394,601,384,
800,468,230,538,604,941,258,176,126,839,948,519,803,963,444,485,675,690,762,
640,234,564,684,971,215,074,352,554,675,226,817,997,658,378,886,421,506,819,
581,343,141,461,723,297,257,500,950,374,017,902,344,484,542,918,438,851,348,
405,506,423,425,984,550,278,296,538,924,534,708,263,139,396,536,313,717,146,
293,165,972,793,628,840,068,979,060,758,479,188,583,982,700,191,836,788,494,
955,855,790,686,849,575,604,942,685,438,676,433,571,663,175,515,792,135,053,
950,053,550,728,113,996,858,462,120,555,222,621,280,310,473,548,434,045,814,
411,646,077,418,747,475,987,037,096,247,212,844,200,099,675,764,483,342,822,
088,840,960,975,396,457,482,655,978,187,426,503,410,986,886,359,389,173,752,
064,137,554,476,035,773,153,957,222,125,311,568,691,153,161,051,692,398,978,
801,100,500,721,889,027,634,581,984,531,067,594,384,853,654,448,116,775,598,
990,243,064,121,666,040,317,273,464,168,659,073,954,671,736,330,998,441,287,
312,273,561,370,948,529,736,943,511,436,443,809,434,012,125,667,961,668,489,
063,197,290,210,555,848,049,949,661,497,816,037,585,383,255,495,755,843,876,
241,136,143,378,948,823,277,471,452,320,708,254,400,383,980,606,585,149,377,
876,951,410,479,742,637,758,313,136,524,777,409,578,646,631,190,988,172,965,
393,263,884,633,504,537,142,812,636,554,983,398,139,412,434,209,466,562,097,
814,211,460,843,049,024,470,720,837,060,820,709,903,816,328,641,585,054,110,
130,904,119,564,474,876,803,820,684,899,353,046,452,673,384,231,329,430,688,
079,516,499,032,363,133,257,149,133,060,501,121,029,585,606,067,762,913,717,
329,246,567,911,435,101,814,477,004,456,484,945,965,744,593,248,936,535,909,
073,327,508,396,319,590,406,344,075,239,524,005,240,286,292,653,074,330,530,
588,952,561,508,696,309,529,015,422,165,021,649,989,122,145,202,167,980,498,
685,848,415,640,531,969,501,189,270,230,120,642,684,771,888,494,087,727,389,
458,271,600,975,547,481,375,766,308,777,695,734,807,972,713,636,398,737,452,
685,244,947,618,915,400,700,919,182,285,151,544,750,337,953,358,272,034,021,
199,293,192,392,509,472,722,090,215,866,254,165,133,891,977,916,873,369,056,
166,324,260,657,927,363,930,305,254,162,269,137,375,984,850,008,006,801,424,
832,399,196,470,409,323,087,299,732,167,484,405,031,966,887,153,622,631,592,
281,718,093,361,239,671,491,663,523,678,403,365,343,862,908,985,231,657,368,
258,557,175,847,970,416,357,116,785,062,886,952,472,654,036,379,626,948,037,
928,453,210,474,993,847,577,174,226,763,706,802,687,814,227,616,892,830,520,
964,324,093,535,572,062,235,508,051,742,490,086,354,692,422,238,153,635,446,
334,831,201,194,787,355,660,005,901,056,995,188,475,579,627,977,255,959,601,
355,638,867,757,433,296,023,943,310,712,471,099,658,675,133,930,933,391,336,
249,782,118,321,818,916,510,692,130,897,433,326,417,799,078,583,691,915,965,
086,642,014,918,955,117,715,307,835,609,138,806,169,217,883,504,503,051,236,
834,325,758,900,693,931,657,235,356,960,097,982,306,531,587,120,078,844,944,
107,961,904,186,719,463,274,162,622,558,164,257,798,295,492,922,143,770,693,
508,296,048,578,695,079,670,012,920,305,131,482,220,297,219,278,001,125,044,
569,535,967,727,174,736,157,482,905,214,526,614,207,969,380,241,615,654,165,
753,819,866,074,783,265,009,206,802,099,654,604,558,198,258,002,706,622,266,
487,891,723,030,704,004,207,407,074,960,854,710,215,727,171,354,048,903,379,
987,562,167,003,990,552,537,615,854,073,776,319,448,567,505,723,847,599,491,
920,236,786,156,738,470,989,472,824,372,464,938,103,499,193,753,106,260,394,
641,870,582,841,020,491,041,082,160,208,877,834,744,607,548,451,361,476,503,
814,004,648,182,233,657,583,337,584,313,510,527,415,401,312,531,717,081,024,
434,624,748,897,453,113,737,074,584,304,883,697,554,468,535,253,897,699,819,
346,722,835,618,471,986,554,164,403,333,306,926,921,800,989,060,773,972,571,
922,402,357,547,906,236,652,155,427,068,359,949,142,756,806,483,397,635,989,
713,534,663,348,111,012,963,982,784,661,874,459,198,718,798,988,783,878,799,
308,756,917,771,245,034,603,172,805,089,538,672,296,490,930,300,975,182,944,
530,060,560,002,842,684,243,855,725,178,873,883,398,977,321,413,565,665,733,
170,834,701,000,034,468,240,302,482,602,858,913,854,326,070,929,114,668,030,
108,380,878,140,911,908,119,025,873,601,327,440,759,308,369,333,281,983,451,
751,437,404,228,089,687,332,084,554,652,187,098,236,633,614,613,431,919,094,
310,457,515,596,588,953,570,511,455,663,439,895,039,684,900,423,406,946,565,
167,810,262,727,615,564,665,114,291,582,659,441,991,441,349,263,744,177,695,
188,316,089,285,991,304,086,845,127,107,683,976,104,878,454,147,854,598,680,
343,291,647,222,666,781,850,660,731,409,960,987,655,316,105,973,913,526,701,
926,482,113,573,980,394,778,707,694,159,294,379,561,815,276,088,307,444,341,
581,461,713,193,546,864,793,779,685,337,166,622,759,469,874,827,230,021,362,
168,752,717,056,582,880,638,066,821,633,299,235,378,813,563,280,971,111,002,
211,386,276,498,601,345,896,089,295,149,899,003,207,232,515,330,681,307,275,
420,458,758,827,760,537,196,680,234,281,959,573,744,998,944,573,311,608,861,
480,824,048,776,993,982,874,510,820,725,896,005,259,659,348,363,156,451,540,
067,978,065,022,265,884,124,727,516,533,358,706,313,941,581,773,673,846,041,
616,809,608,625,966,427,516,404,688,426,145,157,613,767,712,871,674,143,748,
023,646,805,825,280,621,728,139,505,710,468,083,676,033,968,148,029,143,738,
537,283,481,901,443,049,343,757,562,492,124,990,496,982,202,349,551,947,311,
961,108,103,113,316,490,150,550,479,322,459,806,379,005,028,310,901,546,242,
368,617,360,821,493,006,820,768,990,959,814,441,383,960,263,205,788,619,121,
568,169,724,205,686,665,459,600,825,189,625,925,061,619,200,084,513,420,352,
803,191,202,725,363,729,045,618,156,666,093,431,277,664,417,554,962,986,208,
875,043,365,396,613,862,681,133,751,073,314,033,131,738,903,545,640,168,740,
162,277,696,778,792,696,670,585,303,926,972,281,611,233,195,802,689,525,567,
117,966,858,093,550,403,300,378,266,410,430,029,442,420,153,408,942,079,767,
825,265,370,065,268,910,559,909,787,547,364,130,510,412,930,272,126,640,720,
986,876,203,287,647,075,223,779,632,508,316,852,570,735,868,582,785,165,514,
525,370,935,472,281,499,914,771,927,826,815,508,610,067,500,714,280,307,051,
169,460,914,623,551,654,845,671,145,552,350,684,857,194,615,552,121,500,486,
465,228,559,011,771,689,044,506,797,151,335,208,009,138,223,562,642,975,340,
856,905,883,252,502,375,259,234,663,722,905,996,467,594,477,104,918,968,373,
651,165,224,715,528,703,363,332,165,272,991,292,830,861,547,889,946,191,986,
530,172,600,722,616,232,818,341,808,051,515,505,330,118,065,980,380,347,935,
364,171,729,553,492,648,539,148,449,300,312,805,685,254,021,081,248,143,524,
363,455,842,619,396,511,283,978,545,019,792,873,806,700,109,524,977,833,678,
299,616,543,066,455,720,125,350,797,520,317,266,963,414,282,925,696,569,757,
681,571,468,113,784,460,279,698,292,417,612,185,410,688,742,305,977,617,844,
858,144,252,697,896,782,221,347,033,194,991,979,699,952,577,101,173,115,246,
934,810,642,849,594,362,747,802,195,880,171,797,496,878,776,653,182,990,784,
317,594,219,728,576,814,885,782,071,235,551,896,625,112,840,984,252,865,405,
461,645,769,748,041,001,477,842,046,104,279,192,251,788,709,535,483,549,233,
733,880,143,788,143,050,955,371,200,431,832,708,257,120,166,966,155,371,396,
476,151,088,698,125,251,947,910,109,561,302,772,845,371,407,224,565,826,271,
915,170,618,721,711,182,882,888,092,040,402,814,763,140,443,610,000,168,600,
960,332,066,176,628,994,471,229,120,271,669,948,367,028,590,954,339,446,078,
274,603,196,799,953,804,059,197,072,509,667,684,677,451,837,589,484,840,399,
734,370,771,631,564,209,109,901,985,128,906,746,274,498,758,834,111,321,117,
907,687,740,656,691,314,474,626,105,545,249,272,195,359,745,627,788,097,835,
491,850,183,447,649,267,957,905,694,925,961,097,772,177,689,457,434,014,469,
483,487,031,142,011,120,774,110,769,375,165,706,986,389,836,207,425,308,939,
658,957,397,087,195,844,725,731,843,758,172,338,643,659,581,386,171,020,625,
865,344,852,372,945,438,366,205,803,873,344,276,285,742,078,934,527,053,184,
406,699,538,370,278,858,943,243,277,842,743,273,728,335,837,318,515,550,730,
830,967,528,084,722,122,368,470,307,405,915,204,404,868,418,891,685,531,091,
132,166,168,681,074,458,688,861,738,378,054,729,729,669,713,778,763,463,025,
332,296,295,526,495,198,435,770,518,798,642,030,442,205,497,747,593,240,335,
949,094,803,152,713,320,127,233,193,101,907,523,593,456,844,315,932,127,229,
962,605,395,609,278,351,883,758,878,339,395,023,105,368,091,854,128,559,403,
330,693,759,672,566,834,278,683,072,480,419,184,872,933,828,598,093,403,003,
299,950,174,620,910,778,264,079,762,676,412,892,834,652,511,079,911,489,000,
103,555,180,872,250,217,762,044,894,813,303,942,785,510,793,636,454,767,847,
380,400,932,914,687,548,800,321,845,795,486,490,982,412,987,029,869,082,531,
642,145,290,200,509,940,097,609,099,368,520,286,524,633,157,274,781,746,481,
077,047,812,193,852,487,299,444,812,970,023,767,828,267,369,416,908,452,333,
641,948,219,396,330,001,156,485,649,924,777,826,484,483,775,689,768,572,358,
046,344,787,835,812,927,381,921,870,828,947,264,891,228,094,978,377,471,119,
561,976,344,840,494,154,920,290,359,511,672,706,600,953,508,521,650,486,254,
135,021,372,125,096,743,703,804,400,800,383,958,276,519,836,174,967,308,033,
895,085,474,861,731,804,513,851,912,184,989,977,421,360,628,689,196,927,068,
058,697,067,378,041,684,024,336,453,195,524,498,356,429,837,144,679,709,942,
335,403,077,198,763,291,753,722,663,944,480,415,375,331,645,236,805,397,391,
486,346,324,713,924,404,758,562,133,156,897,783,891,854,373,793,225,315,060,
622,721,098,637,374,575,718,102,662,993,942,343,791,208,489,852,817,251,239,
301,355,615,452,912,107,259,719,628,252,601,890,882,701,833,768,047,146,849,
473,469,381,739,293,146,864,583,314,569,967,775,874,296,510,937,761,955,774,
942,215,915,266,864,959,051,585,734,462,011,593,558,824,971,623,989,479,066,
418,362,157,366,895,889,045,860,424,044,984,201,352,232,090,728,354,952,011,
008,205,139,246,009,902,373,339,765,170,274,731,870,349,699,053,138,968,272,
666,455,151,752,769,747,837,419,162,793,586,040,231,276,502,154,872,862,348,
691,276,562,969,494,779,392,640,346,813,012,916,085,880,656,180,032,207,924,
381,022,044,615,239,312,020,040,031,407,393,564,991,188,837,707,464,704,276,
783,728,843,549,343,348,363,601,633,693,443,762,554,254,652,503,362,685,475,
211,314,252,226,741,819,351,999,391,217,807,194,993,108,781,524,909,883,346,
606,913,763,187,415,508,682,832,105,435,893,428,887,388,415,241,779,080,684,
998,820,172,915,387,758,475,239,313,736,736,018,096,248,768,240,381,321,660,
367,526,402,603,569,565,160,003,967,455,092,746,639,461,491,253,280,995,528,
023,062,856,926,915,365,526,553,180,300,516,794,355,394,245,003,062,555,491,
292,618,338,908,840,098,076,356,568,081,781,224,065,454,702,290,837,795,652,
641,937,575,887,371,658,130,619,738,964,777,810,461,889,383,163,291,897,434,
930,539,732,212,638,770,627,743,845,666,398,373,405,787,771,986,636,172,538,
426,319,214,933,250,063,149,865,934,640,111,438,711,665,915,590,268,384,250,
877,950,586,272,234,269,222,913,121,447,186,967,371,435,216,015,927,185,714,
081,999,821,773,071,513,250,969,431,405,953,762,951,138,819,288,521,961,985,
839,968,255,760,124,923,566,573,086,453,557,223,610,295,798,541,524,225,113,
986,986,076,397,131,079,398,997,913,478,814,201,057,556,897,042,242,310,794,
491,456,116,544,952,413,726,746,663,307,725,777,222,247,520,364,723,580,335,
221,078,883,001,390,196,879,238,406,817,009,288,754,197,258,502,954,861,013,
217,536,410,672,992,326,698,931,552,282,753,357,862,214,850,530,746,070,497,
107,462,429,671,538,380,161,531,300,117,735,606,815,067,226,885,329,709,772,
619,252,438,783,912,667,344,404,659,261,871,924,367,249,649,863,324,996,783,
856,231,244,158,878,237,904,984,120,219,507,134,173,830,347,129,549,298,068,
007,308,907,803,453,450,113,044,258,185,983,666,905,435,365,885,671,778,624,
680,072,644,864,366,667,861,641,948,935,700,455,282,643,294,856,902,253,442,
502,222,815,840,740,360,202,730,476,297,009,569,175,048,710,742,874,941,727,
478,831,245,482,811,545,221,696,707,563,948,317,837,950,063,235,812,684,106,
765,557,588,389,389,480,548,150,112,915,535,127,509,135,270,288,747,792,458,
418,094,924,315,248,206,856,110,050,363,223,560,844,110,112,701,014,119,642,
957,787,787,753,025,423,496,108,676,806,894,793,158,844,435,300,902,948,663,
159,769,815,737,075,660,209,338,649,485,271,347,978,149,282,193,217,415,798,
582,733,392,289,692,525,382,825,673,947,163,646,000,467,035,653,650,014,890,
765,615,324,023,643,654,117,614,520,146,786,009,483,605,454,924,080,425,249,
879,576,946,255,389,649,789,295,273,403,458,579,529,748,178,099,816,449,922,
277,914,886,118,040,901,650,714,835,627,473,815,811,505,808,836,406,487,594,
665,153,620,277,372,193,955,996,785,793,460,837,452,183,701,003,600,490,364,
497,071,547,527,598,775,290,135,931,382,176,178,985,079,967,296,759,536,263,
236,723,088,414,247,740,750,095,119,687,560,748,164,751,643,420,270,429,516,
071,504,236,436,766,880,465,897,015,117,736,797,189,038,310,153,110,296,840,
413,443,089,232,121,028,666,327,008,436,985,816,197,351,701,555,035,418,156,
524,657,281,132,008,853,375,716,327,098,117,006,623,459,290,789,795,689,424,
621,356,582,296,877,451,478,415,154,889,830,404,128,747,977,962,889,258,121,
045,468,757,481,566,066,749,988,528,533,163,741,383,101,575,089,621,707,448,
149,623,612,884,314,996,713,761,162,676,896,573,200,209,940,439,261,495,009,
782,448,022,981,900,555,034,523,554,321,551,647,009,086,509,785,409,878,281,
929,399,730,589,266,305,575,029,859,119,871,953,141,730,824,333,863,627,107,
647,311,473,543,588,385,267,426,683,978,494,584,268,423,021,636,853,964,495,
023,438,596,978,879,949,216,226,974,873,530,854,341,522,966,923,487,687,709,
788,030,566,333,439,989,520,512,377,654,163,733,003,237,711,869,460,864,221,
879,904,417,877,978,392,845,777,447,254,081,049,759,951,681,970,223,843,837,
354,545,470,555,348,347,055,315,395,175,289,985,758,502,910,115,513,047,357,
820,310,571,447,836,055,841,529,835,596,605,145,585,708,190,204,690,679,253,
610,994,881,942,186,257,690,927,323,879,251,024,887,451,928,212,976,771,900,
014,991,158,158,163,778,163,459,030,214,332,048,322,692,936,500,825,227,093,
333,748,188,610,759,225,637,745,116,531,960,079,670,737,772,398,293,566,968,
345,008,769,673,721,107,475,918,358,767,940,893,373,334,166,837,380,575,643,
164,675,550,610,008,784,589,789,821,751,172,115,781,659,044,155,719,929,746,
331,011,896,751,506,531,190,057,867,477,086,935,805,210,180,952,244,166,963,
495,809,337,204,296,048,259,717,507,090,379,536,480,063,513,283,552,138,023,
889,638,743,279,319,749,858,476,516,636,721,855,270,252,030,931,210,702,300,
963,126,151,976,313,621,879,215,028,164,372,540,091,004,421,554,226,047,058,
811,955,897,015,576,152,011,442,416,634,197,531,002,155,125,302,676,705,579,
250,554,660,657,366,377,108,557,559,088,315,472,846,400,430,050,525,884,491,
179,130,764,804,098,103,283,553,387,244,483,536,686,714,924,836,956,215,415,
809,239,274,066,104,275,038,419,307,516,511,652,954,786,944,431,825,767,042,
689,329,620,039,888,975,204,387,294,269,051,504,264,390,426,078,633,271,063,
261,769,443,774,464,643,503,231,169,803,913,269,370,792,859,334,269,303,773,
342,280,381,404,475,204,494,362,522,839,899,481,072,180,730,069,482,967,489,
191,540,541,715,013,869,850,760,706,368,416,247,895,508,548,491,388,785,423,
570,831,915,475,481,950,909,793,853,614,493,841,829,912,034,469,447,426,305,
557,327,324,175,924,774,695,860,331,046,666,409,895,536,679,207,179,792,967,
980,413,860,871,390,375,696,828,349,943,413,874,066,245,050,131,003,853,268,
374,821,176,784,882,334,821,053,442,283,681,309,840,423,340,300,763,811,116,
968,346,395,558,502,319,769,342,705,176,250,944,290,559,115,708,330,192,522,
145,505,692,360,246,149,665,438,738,592,033,832,993,004,581,344,242,172,494,
190,072,228,044,474,530,485,455,186,899,518,798,926,011,886,315,261,993,388,
682,710,725,540,704,875,729,720,626,613,680,067,401,832,582,697,514,077,746,
596,207,393,810,311,961,165,301,377,802,833,263,545,860,874,409,989,773,887,
285,540,882,448,987,877,707,813,759,290,207,369,384,781,862,861,926,412,415,
130,425,785,203,134,475,768,158,154,725,850,234,788,562,248,892,628,384,173,
083,359,318,789,708,222,206,118,062,266,988,238,310,635,239,972,362,778,181,
699,173,741,615,625,752,461,574,797,145,705,344,150,401,182,838,640,431,304,
866,678,438,179,707,447,002,287,306,180,962,467,382,518,277,696,465,073,996,
321,474,282,708,342,175,035,324,096,057,424,588,287,287,813,553,189,096,350,
191,461,678,003,098,577,352,804,303,156,363,349,541,899,306,721,817,034,298,
143,645,368,324,637,380,586,304,018,351,811,263,265,882,532,309,527,247,910,
640,112,539,933,898,635,548,160,204,138,110,479,460,839,768,269,764,491,608,
820,712,593,528,050,748,038,049,874,597,384,994,033,204,229,085,542,120,266,
617,092,100,550,928,648,856,204,092,474,354,522,608,101,090,401,566,334,387,
776,010,554,122,767,498,823,413,237,535,328,837,938,471,411,434,068,015,959,
399,282,610,685,042,400,696,953,777,013,412,207,503,475,469,448,484,000,537,
937,048,592,690,621,306,702,410,784,230,764,773,158,494,373,035,946,628,663,
258,113,447,807,404,327,277,309,173,422,620,471,561,373,698,358,767,043,454,
138,161,426,000,928,457,097,197,438,087,188,875,439,993,946,670,928,152,679,
162,337,528,980,210,741,615,618,251,350,121,666,877,964,769,824,756,586,826,
418,410,976,018,019,479,307,112,581,910,555,470,118,379,681,880,818,956,155,
997,651,504,835,034,540,859,121,404,743,029,943,811,709,134,566,204,828,962,
886,587,709,114,285,211,064,431,744,846,084,550,408,201,345,153,328,592,713,
661,255,796,404,490,820,561,515,264,095,719,260,727,253,061,106,220,788,809,
922,228,040,538,172,876,479,067,129,044,540,549,300,355,487,271,945,054,427,
155,200,410,900,478,288,144,390,756,449,422,715,897,558,280,379,108,534,034,
870,092,038,714,815,074,373,006,839,731,769,092,674,567,787,435,161,762,719,
662,515,806,041,364,016,341,989,045,480,897,667,677,317,210,085,962,914,190,
659,913,547,653,677,138,274,335,522,328,184,031,962,939,297,779,820,290,202,
785,697,244,518,680,438,652,983,073,430,395,447,657,803,901,592,078,447,621,
787,581,242,421,914,249,470,453,731,962,644,479,868,192,439,933,133,694,282,
128,915,906,895,118,711,977,803,783,997,649,651,162,568,760,507,687,064,343,
967,947,540,353,940,153,532,894,152,710,618,035,920,228,872,932,574,673,531,
363,183,844,683,443,750,042,699,162,525,048,333,890,703,920,040,242,116,650,
877,037,136,901,101,275,169,091,570,411,749,013,150,314,264,575,023,654,250,
255,119,018,662,371,404,109,093,497,790,317,867,623,367,150,270,395,682,600,
956,560,215,425,083,526,137,262,124,481,615,376,243,718,303,985,669,733,858,
737,544,652,037,950,099,774,149,659,534,547,703,705,826,563,326,852,526,750,
334,282,235,410,335,337,239,557,589,007,458,137,556,753,864,764,708,620,642,
265,861,186,870,458,402,082,966,893,886,625,746,587,534,674,481,926,876,085,
314,267,401,204,967,460,960,431,569,708,477,344,686,516,287,258,282,860,415,
128,239,986,899,229,130,067,248,670,112,128,674,273,646,644,147,520,277,934,
159,968,467,695,993,596,603,398,659,555,178,341,040,021,715,018,350,491,511,
907,678,928,733,318,842,717,521,492,088,443,568,438,783,785,986,998,661,810,
801,627,348,466,301,891,757,223,849,704,227,182,287,791,257,184,705,346,254,
631,927,490,298,927,421,391,733,972,573,730,842,111,555,705,280,086,218,067,
904,461,253,025,225,586,208,187,090,910,257,331,499,206,562,739,510,294,957,
094,593,263,292,690,991,472,898,008,861,353,438,306,735,061,550,542,076,340,
847,108,520,581,489,381,204,254,361,806,000,534,189,406,569,082,685,230,314,
067,263,986,482,734,603,184,643,586,988,621,655,319,259,836,262,264,484,727,
580,412,622,607,984,295,442,679,523,689,971,930,194,163,456,721,892,858,574,
185,611,324,667,907,384,201,495,309,363,845,429,809,831,687,600,172,668,866,
590,691,853,354,301,335,917,024,970,065,723,118,515,184,196,288,378,316,587,
143,498,559,693,367,547,233,673,224,521,810,891,089,840,893,361,427,936,610,
519,172,023,427,545,266,530,728,245,824,332,950,733,042,650,940,126,332,785,
147,940,881,283,260,082,484,721,063,277,158,352,631,764,608,415,873,608,990,
457,642,658,836,541,442,642,929,300,962,883,256,251,457,198,559,404,371,281,
077,495,816,439,376,613,292,239,045,482,728,893,389,740,391,969,350,448,207,
323,692,337,211,831,397,845,789,496,035,366,636,653,543,850,100,881,236,710,
178,473,453,133,904,556,983,146,951,835,249,793,460,035,182,105,333,136,193,
324,409,088,062,392,509,881,415,994,856,872,374,008,306,667,510,059,779,949,
284,720,066,208,601,853,007,397,579,983,454,624,412,449,631,264,150,829,473,
219,943,645,254,298,265,560,144,469,923,075,950,499,947,346,475,934,789,420,
770,091,059,646,634,721,729,638,389,966,437,433,988,794,639,828,624,431,611,
746,231,725,220,008,586,578,964,217,095,720,399,511,038,314,736,289,941,843,
996,707,168,431,466,951,601,646,979,754,888,501,833,563,920,708,232,589,438,
360,506,924,078,379,747,164,475,678,283,521,367,643,715,487,772,050,628,316,
932,488,747,071,021,236,918,840,119,781,994,714,129,524,503,967,802,658,071,
625,646,559,171,983,285,286,444,305,416,745,928,247,601,724,307,563,778,572,
018,361,118,305,174,342,107,631,140,708,001,444,535,650,219,374,992,869,316,
126,323,939,316,296,910,778,770,321,898,916,394,708,050,550,479,155,910,655,
285,207,727,941,533,114,275,775,270,712,678,531,406,328,462,623,753,591,997,
632,973,232,221,415,748,874,253,974,291,004,051,740,001,196,879,669,784,015,
400,715,127,791,578,884,960,849,329,810,145,715,693,780,163,418,474,194,744,
114,057,655,497,234,669,768,760,482,520,600,126,956,758,259,333,763,543,929,
385,873,251,827,912,003,760,678,497,576,008,908,548,498,277,244,278,675,825,
037,713,455,847,185,701,664,295,067,233,831,706,200,138,291,750,996,522,903,
935,183,812,225,236,036,415,222,436,476,006,183,920,273,764,743,223,953,300,
235,607,348,024,821,379,327,831,869,000,681,430,399,713,872,441,214,877,932,
983,552,689,675,794,256,335,445,515,302,574,611,446,680,848,153,256,336,543,
654,446,969,500,909,129,793,851,040,307,261,253,674,005,436,614,322,533,186,
596,634,868,453,484,715,912,768,038,858,412,584,357,297,585,746,077,666,156,
871,686,435,838,876,809,095,947,400,727,167,755,272,372,840,769,935,849,031,
014,622,742,524,324,283,052,399,044,888,687,698,556,848,723,078,507,784,559,
641,926,555,240,835,887,149,570,608,554,332,266,979,756,346,924,571,377,474,
328,389,642,978,332,780,494,823,740,086,624,731,378,818,194,260,766,162,758,
867,816,940,451,630,621,593,559,293,500,936,621,777,453,923,922,711,659,985,
778,389,342,478,548,906,046,529,986,570,353,455,807,516,101,341,953,945,793,
910,031,150,415,230,357,392,887,204,775,409,300,367,649,114,726,547,809,088,
641,770,167,844,642,109,429,665,633,783,097,272,289,823,175,210,265,501,830,
135,434,083,046,771,800,626,139,485,645,489,153,729,278,481,819,381,209,521,
643,822,939,527,421,376,292,581,209,930,304,496,901,526,657,025,482,491,426,
449,753,062,415,611,626,866,089,929,265,017,050,524,117,877,469,634,496,512,
464,191,731,799,027,362,470,731,842,068,632,311,354,255,359,082,142,415,147,
402,131,375,067,676,497,696,015,051,940,455,096,594,096,131,866,627,222,191,
299,329,251,359,978,884,374,878,843,848,382,495,658,387,968,953,170,228,861,
423,596,760,581,957,597,607,204,774,866,038,260,802,142,804,597,359,636,834,
904,931,496,174,347,875,225,856,473,241,278,039,747,027,068,650,461,698,364,
308,839,502,027,980,614,657,638,965,460,155,985,080,336,314,964,455,599,293,
897,949,212,490,275,530,810,534,194,847,216,024,437,514,032,309,460,432,031,
740,095,028,570,949,954,809,426,289,734,025,559,368,528,166,344,070,590,218,
180,331,232,872,062,170,880,126,327,089,658,715,982,931,753,767,519,993,056,
754,746,550,167,173,000,313,186,771,346,023,232,935,215,410,006,822,927,902,
199,305,301,495,880,590,864,264,634,081,570,477,622,846,092,241,764,935,815,
536,371,214,728,180,635,346,975,940,879,825,296,597,691,428,906,221,149,687,
851,366,312,172,760,489,834,641,752,144,759,433,875,065,945,955,520,336,752,
556,383,069,662,421,836,024,876,672,655,415,326,032,934,471,502,031,170,131,
576,258,473,099,523,862,838,600,151,398,744,163,507,734,799,301,664,416,630,
546,381,514,600,136,435,691,705,227,714,143,639,619,096,892,440,288,500,706,
862,523,168,914,865,659,655,244,811,095,537,568,352,266,418,396,484,626,135,
141,890,807,960,589,621,789,243,770,540,441,210,245,958,905,957,004,118,042,
650,738,712,097,748,506,168,886,149,170,692,426,229,062,951,189,785,496,728,
447,840,435,887,926,991,482,670,127,898,451,082,963,190,875,288,461,018,998,
756,130,409,485,520,101,930,579,769,363,965,246,264,995,998,911,893,226,084,
953,976,785,070,283,122,788,141,274,423,454,616,766,731,574,322,606,516,752,
946,510,119,023,380,893,964,774,503,924,191,100,336,262,556,393,158,996,809,
968,444,191,155,664,133,678,080,111,855,114,054,095,759,580,434,918,352,300,
340,054,523,953,273,963,012,322,154,420,914,005,636,557,984,116,673,635,953,
661,592,193,358,368,486,196,820,609,178,406,209,017,317,524,697,832,012,911,
702,679,512,797,733,939,158,257,216,730,446,064,023,453,916,597,945,950,206,
274,025,834,164,015,355,598,451,645,409,720,543,188,684,332,891,986,020,648,
089,834,345,546,425,921,276,301,710,152,773,209,790,152,542,834,570,727,886,
466,638,113,511,027,780,919,915,576,081,337,285,307,358,127,029,219,301,336,
088,956,261,631,711,523,282,248,574,565,275,828,217,813,649,843,411,325,856,
715,770,825,244,182,654,832,413,618,242,419,467,318,154,241,449,656,018,189,
838,698,607,780,572,817,412,931,892,950,674,876,363,298,295,671,281,799,840,
992,408,907,217,682,591,647,637,317,965,763,088,770,222,817,396,267,944,328,
660,673,396,581,588,465,655,328,934,302,663,112,499,181,905,080,363,871,609,
684,354,945,602,615,690,204,030,082,257,532,399,437,888,408,688,336,747,089,
549,698,433,534,611,556,620,611,984,856,520,996,834,492,320,959,697,405,470,
348,399,984,278,376,750,164,436,277,129,908,073,104,415,408,386,356,293,191,
422,328,564,986,670,313,618,752,314,460,309,548,038,805,737,990,107,256,517,
975,581,006,647,708,225,164,784,758,531,563,655,300,888,988,349,937,759,713,
628,104,898,323,735,311,324,838,819,061,312,274,278,709,109,057,843,132,612,
084,420,131,260,213,206,003,911,753,488,707,733,265,395,549,417,187,631,070,
828,335,920,345,050,910,731,871,340,838,104,527,998,810,890,160,288,130,964,
908,808,623,574,588,932,524,600,852,754,507,278,016,036,732,154,910,249,295,
963,266,025,488,888,128,264,288,789,697,873,386,525,422,388,473,648,508,011,
201,882,074,819,790,688,656,557,357,932,001,886,534,435,680,944,291,090,147,
470,820,118,164,396,720,530,290,761,210,541,596,738,871,955,311,716,833,005,
039,697,254,427,712,837,925,882,453,976,886,498,160,262,268,112,637,154,426,
329,920,013,506,666,106,247,068,666,229,922,558,410,460,021,123,652,067,571,
896,135,041,758,923,878,639,759,367,435,542,320,732,101,172,230,913,405,136,
785,248,932,173,158,855,883,863,564,021,632,605,769,557,134,732,961,632,677,
188,906,590,513,522,030,564,101,176,452,616,317,424,045,818,961,639,637,253,
242,380,176,403,874,572,383,210,110,481,840,133,649,237,977,955,242,045,089,
003,238,777,900,943,933,853,901,882,315,051,998,843,192,487,476,806,526,966,
302,402,394,559,920,077,203,048,678,465,258,036,039,934,076,078,321,416,334,
569,731,034,429,680,946,532,992,115,068,807,405,768,440,955,092,997,591,132,
912,974,605,924,901,886,226,612,090,964,464,999,579,183,727,177,949,912,089,
971,289,715,152,386,113,434,443,649,878,421,688,212,987,830,455,540,411,969,
324,631,404,509,682,651,500,167,157,009,543,251,128,470,043,609,197,665,978,
123,859,742,715,632,761,955,649,447,100,495,802,307,294,772,414,330,111,643,
318,656,372,121,107,505,173,658,816,909,664,835,684,171,063,278,836,621,864,
230,955,058,943,935,503,001,885,002,634,241,835,277,059,475,570,413,505,430,
598,438,372,860,426,195,480,775,304,496,152,948,432,052,284,144,014,637,016,
657,457,121,548,731,480,583,494,464,602,215,743,552,299,893,017,502,638,864,
308,229,394,948,941,839,167,372,976,253,772,856,842,030,190,654,057,972,988,
133,277,507,722,655,971,562,572,625,807,251,006,306,772,982,721,965,252,233,
350,245,838,931,181,497,003,433,260,879,940,916,969,365,849,565,272,566,556,
689,856,318,365,698,578,235,875,497,630,189,575,849,227,398,640,654,957,364,
611,351,469,435,010,660,527,391,348,677,657,625,442,541,957,855,465,539,737,
055,264,873,846,290,030,245,590,389,474,358,009,170,554,190,785,388,414,141,
361,571,795,000,439,363,236,403,366,666,476,272,983,511,291,758,281,753,176,
559,848,707,413,889,313,250,813,547,889,340,771,453,863,941,053,583,462,373,
705,484,302,241,192,922,994,956,506,680,051,341,659,741,062,724,873,451,451,
719,576,401,611,510,072,138,130,246,773,836,039,134,403,875,988,773,571,346,
206,170,253,074,770,448,521,289,395,050,787,521,597,028,110,390,551,706,777,
946,146,795,229,203,361,393,724,339,631,557,629,293,809,598,588,526,098,867,
022,616,634,750,968,590,122,464,094,479,975,033,934,047,668,035,731,909,843,
067,604,122,317,786,167,997,733,995,880,564,584,116,149,621,528,081,557,051,
602,414,391,338,041,265,121,962,564,762,453,727,482,813,051,184,385,176,881,
062,797,805,342,360,528,443,760,159,433,337,311,428,057,014,899,488,969,176,
720,755,403,444,266,555,449,754,995,975,982,034,771,070,844,127,643,093,688,
914,619,499,552,841,748,229,910,187,418,579,791,019,580,625,104,066,241,568,
569,796,753,886,951,257,334,513,535,230,464,811,897,939,872,002,147,860,243,
804,709,750,513,285,835,528,329,648,558,832,973,186,923,846,450,938,059,513,
391,073,178,270,215,331,571,410,868,005,435,765,297,871,597,902,826,524,630,
798,132,482,106,705,457,512,746,604,654,377,374,214,153,672,281,217,350,229,
196,077,813,622,481,802,004,897,332,759,541,863,484,937,564,593,637,131,504,
349,380,622,573,307,765,907,942,411,389,591,426,988,674,846,917,581,379,984,
184,864,593,743,432,547,501,640,430,054,149,708,950,191,466,547,452,387,023,
209,490,894,398,064,832,109,167,425,379,400,073,841,764,002,242,693,808,697,
535,752,757,028,965,397,325,732,711,695,912,790,150,463,617,338,477,436,596,
346,161,173,074,326,106,877,320,950,888,363,329,476,868,830,633,903,671,129,
082,144,729,479,414,967,587,226,714,576,777,532,585,242,652,864,267,991,211,
373,967,213,376,456,862,807,110,450,828,180,718,097,226,831,011,265,711,044,
140,886,258,461,623,207,325,395,726,450,417,030,193,383,718,199,737,218,742,
264,157,982,785,838,448,551,394,897,191,916,292,299,669,134,732,377,760,789,
131,386,747,890,186,768,919,326,372,626,423,464,520,986,075,311,802,233,178,
789,522,675,681,264,387,814,695,662,749,301,611,999,827,233,927,267,516,755,
081,713,156,042,985,123,603,682,638,204,907,145,939,058,856,871,659,941,355,
927,321,080,388,783,119,736,771,889,984,462,322,088,275,647,183,878,652,336,
058,082,218,058,242,148,132,076,226,867,343,554,881,291,391,776,516,105,247,
290,836,196,943,286,625,894,869,914,969,433,804,857,215,761,019,162,070,275,
647,702,391,703,387,338,226,244,115,490,044,698,847,942,324,116,192,378,798,
180,843,951,686,590,475,848,237,168,025,199,034,370,516,507,764,293,198,598,
325,815,645,304,672,542,287,036,672,460,614,913,824,831,563,426,577,428,585,
073,652,978,140,296,656,875,235,441,179,482,636,196,254,608,533,278,280,650,
092,856,324,735,169,410,876,896,630,156,335,303,103,260,257,864,174,615,025,
292,712,700,375,575,227,319,060,896,755,862,039,532,965,680,023,273,306,231,
923,198,645,119,388,510,983,502,527,991,517,756,369,595,550,919,380,440,596,
506,042,905,325,042,426,279,431,314,044,960,662,409,387,814,770,034,478,738,
996,402,936,734,829,724,430,001,621,113,813,185,061,360,688,223,249,389,073,
952,300,597,549,300,565,923,652,457,271,940,720,872,016,505,075,176,697,782,
868,713,481,874,147,224,816,723,801,262,905,288,547,589,307,752,393,583,755,
450,097,822,064,853,551,295,937,139,612,419,562,839,595,073,191,009,029,842,
703,578,544,808,064,341,823,742,926,968,209,926,351,061,678,087,833,781,815,
440,291,128,618,751,067,672,501,625,699,357,503,533,169,828,905,837,182,808,
389,777,069,779,552,853,038,756,768,434,813,736,151,197,496,857,838,510,930,
461,703,560,400,229,892,005,027,499,459,084,643,666,985,156,074,241,806,696,
589,944,842,352,714,682,373,723,617,194,734,726,937,068,741,729,820,941,137,
859,444,862,528,392,279,064,287,092,511,367,817,000,175,438,016,515,224,741,
620,977,882,327,330,063,903,835,603,828,180,977,696,792,296,197,786,669,115,
448,411,507,025,184,125,322,182,249,875,784,661,299,835,630,106,061,284,405,
660,396,776,122,097,844,464,845,095,849,366,921,739,668,105,883,112,549,172,
798,855,751,070,977,838,368,480,579,423,337,118,054,981,889,056,874,988,831,
951,957,078,409,165,588,824,224,512,150,820,964,451,179,274,302,452,927,541,
660,061,678,916,186,011,158,483,347,260,445,344,480,633,680,288,152,189,557,
946,572,033,639,634,445,165,640,167,076,492,115,477,234,298,934,258,303,004,
583,046,015,786,891,909,250,893,520,449,062,064,926,458,969,086,013,138,885,
018,485,938,745,104,319,826,024,415,841,079,200,624,003,045,403,936,387,095,
802,530,139,567,510,725,503,747,345,882,192,129,753,457,914,809,828,274,087,
347,393,022,396,342,785,251,217,108,505,590,844,769,946,336,841,273,135,740,
729,503,391,546,628,497,133,187,325,914,031,962,548,198,940,247,848,790,745,
677,117,584,046,175,419,079,656,742,109,890,142,023,541,740,759,954,279,883,
879,505,926,344,432,773,613,033,964,608,837,661,668,680,691,447,709,915,809,
240,445,646,513,359,458,209,703,858,237,115,466,107,571,732,077,166,933,485,
624,030,783,804,719,095,519,080,764,856,158,472,473,622,235,712,840,965,417,
222,300,633,443,790,552,870,479,649,592,552,861,893,230,401,537,699,583,216,
892,996,679,054,404,646,053,321,331,891,362,187,707,412,475,486,596,021,243,
770,995,871,631,357,282,354,670,223,578,461,140,690,695,516,676,431,064,392,
992,713,874,601,271,932,041,336,567,129,885,633,102,582,327,333,224,985,924,
351,723,486,067,018,849,844,444,745,892,368,520,212,102,193,446,664,163,282,
666,611,393,744,857,075,631,751,154,428,233,432,686,573,312,007,415,656,394,
333,100,118,560,609,102,594,652,329,153,952,946,335,230,881,621,762,821,542,
738,111,679,034,346,118,271,069,660,123,269,115,834,475,160,374,409,808,516,
631,736,253,784,406,207,601,856,140,013,968,289,125,491,682,275,966,553,603,
485,363,775,556,838,652,613,577,207,412,394,864,851,718,115,606,292,073,646,
356,431,992,425,475,294,204,196,310,162,048,968,590,827,497,640,795,481,306,
879,672,596,792,653,181,800,832,563,063,724,260,889,073,322,053,676,557,702,
279,867,255,029,181,617,302,700,975,282,444,851,143,551,088,608,453,420,117,
810,006,031,679,818,045,870,754,622,694,621,136,595,060,967,811,526,014,286,
096,364,481,467,670,729,636,764,447,023,155,180,685,921,700,277,400,855,583,
802,623,179,566,693,086,285,231,426,526,591,394,503,027,241,446,932,407,669,
671,462,378,430,313,937,510,853,809,865,422,109,750,301,394,076,389,073,945,
363,656,496,355,249,476,815,119,310,046,264,107,227,846,873,022,076,705,658,
868,157,837,406,837,867,775,690,369,605,044,611,443,473,284,724,384,710,243,
126,498,113,670,324,715,262,995,857,724,897,324,909,544,905,176,641,580,146,
722,827,213,474,429,295,405,799,314,349,632,369,432,029,173,543,662,810,836,
606,492,197,859,252,853,877,019,616,019,854,460,923,915,479,073,637,300,015,
610,662,994,450,186,716,224,313,387,202,689,483,421,025,755,505,227,434,367,
478,346,575,509,551,716,134,482,362,269,113,438,567,263,121,362,428,420,523,
040,750,465,082,927,461,545,561,360,375,302,089,245,576,127,717,447,055,381,
386,586,336,612,768,406,506,268,925,460,211,477,787,834,888,960,432,123,729,
858,992,450,801,108,090,090,322,750,129,523,842,473,431,801,630,455,031,960,
856,226,787,692,581,363,187,367,889,749,164,367,637,347,361,945,936,524,836,
306,786,777,098,734,343,200,728,318,884,954,569,387,471,774,131,168,644,758,
470,746,570,694,801,974,554,646,113,462,455,183,214,741,260,026,756,991,283,
902,102,802,781,299,625,501,401,936,640,493,518,805,715,917,023,365,687,269,
734,335,587,122,211,058,099,472,648,525,403,265,510,681,641,694,507,731,911,
257,215,140,324,555,410,663,669,654,255,050,816,530,617,699,344,731,766,554,
021,436,235,574,706,677,357,831,004,025,848,823,389,033,592,649,410,900,072,
769,666,545,856,467,319,301,233,533,415,783,458,376,332,089,650,532,067,156,
607,930,584,185,186,275,712,965,549,446,849,442,219,369,926,087,010,685,791,
314,017,432,354,353,331,444,458,242,764,822,605,664,859,321,742,094,231,234,
040,948,631,714,058,359,834,785,027,895,159,434,373,261,193,518,825,535,900,
705,015,761,754,657,150,129,751,102,653,426,174,009,480,943,374,663,540,618,
148,366,042,875,537,344,518,693,706,242,377,506,883,620,573,896,336,281,584,
228,234,853,264,537,411,211,176,715,669,850,324,823,375,566,853,847,905,251,
205,155,041,016,664,617,558,493,915,224,692,454,508,495,146,763,132,088,836,
031,566,772,850,337,794,554,868,445,410,434,603,520,718,975,121,395,802,386,
093,316,769,777,098,484,192,110,998,579,180,967,371,943,885,383,107,644,873,
700,066,927,883,291,248,189,799,974,996,302,221,799,219,668,638,090,456,807,
445,467,983,055,317,732,932,604,069,013,358,693,333,143,859,626,686,187,157,
090,708,058,056,798,488,752,932,868,202,384,623,619,246,328,135,419,098,763,
332,623,994,782,238,718,350,406,609,781,253,931,193,293,773,148,517,742,968,
010,940,947,364,718,800,745,746,992,422,255,068,986,723,850,325,733,363,511,
598,176,436,966,578,305,027,327,168,109,209,545,042,271,590,006,629,387,980,
556,371,045,496,603,994,900,600,159,742,668,276,805,459,086,331,115,222,471,
685,215,959,480,023,653,595,006,378,951,128,418,155,230,910,930,130,265,738,
110,575,479,109,127,444,182,876,555,356,840,228,226,677,408,921,408,648,122,
118,864,377,500,253,110,526,980,665,611,803,153,052,165,021,477,712,709,678,
374,223,292,927,928,886,829,633,872,178,828,838,376,236,234,425,387,444,672,
888,539,254,589,343,378,561,369,710,698,672,470,582,015,539,462,370,321,681,
717,041,214,802,063,308,053,309,606,291,557,872,877,851,227,732,949,076,078,
066,657,727,421,009,710,815,651,330,086,319,957,325,985,833,614,803,470,034,
539,372,827,569,184,806,448,507,688,233,973,412,415,907,093,240,039,062,347,
408,726,248,918,121,554,245,557,905,216,654,043,841,143,138,732,919,742,894,
306,706,090,946,766,440,973,294,077,653,957,448,950,216,606,880,755,608,464,
095,994,424,884,288,658,827,874,832,349,699,722,167,557,374,217,776,586,419,
556,940,630,378,232,823,158,394,582,997,733,247,311,808,729,670,115,812,140,
897,828,064,854,956,138,352,251,582,771,874,843,925,698,976,444,701,231,346,
690,809,864,212,194,529,199,670,901,145,350,966,155,113,618,693,706,157,227,
105,522,826,102,256,412,119,371,590,484,367,303,799,858,486,277,448,868,642,
995,450,472,660,371,833,061,341,255,273,124,316,016,816,643,217,484,066,346,
719,901,584,777,697,189,878,421,631,535,249,310,217,465,516,595,077,966,408,
703,456,212,761,093,470,740,121,963,800,460,597,019,924,411,421,832,943,116,
619,768,709,639,647,193,755,362,148,482,696,142,013,862,464,305,317,753,064,
797,979,512,032,162,684,162,420,356,087,142,723,237,419,804,687,884,431,769,
573,144,056,946,500,099,783,992,404,105,137,474,881,826,584,651,311,103,105,
260,343,559,191,249,408,100,973,610,986,808,053,118,859,281,006,651,523,486,
116,367,622,303,424,278,880,685,298,361,036,423,613,917,453,380,054,048,224,
808,448,186,108,723,119,255,208,042,274,385,036,341,714,136,015,249,154,176,
925,650,321,788,010,752,502,177,248,791,729,039,700,784,769,601,279,025,870,
174,689,388,488,546,488,247,281,404,445,941,200,955,878,907,759,588,886,679,
996,512,496,075,082,678,905,972,601,138,970,343,484,865,930,374,613,939,968,
781,584,170,725,426,514,423,005,943,669,375,382,530,384,613,802,588,164,209,
715,299,014,532,545,471,354,600,223,262,183,462,345,416,211,800,934,104,242,
918,988,518,506,489,296,544,535,569,538,652,529,299,708,720,036,070,415,792,
241,757,214,611,274,176,039,113,655,286,476,816,861,255,621,567,046,660,391,
009,684,892,926,434,887,395,245,375,690,727,017,384,551,427,988,225,331,945,
548,234,903,474,198,508,186,955,555,486,717,051,890,580,190,501,847,910,393,
191,661,261,985,213,600,910,529,517,571,165,336,901,485,553,160,227,983,670,
698,926,892,383,346,926,360,853,917,992,030,493,718,278,582,609,827,050,237,
272,580,145,932,234,562,123,437,320,936,289,677,181,174,824,500,457,510,416,
282,124,184,704,913,219,743,671,934,484,023,385,467,214,263,911,138,130,951,
783,986,438,862,308,585,394,210,286,179,040,985,091,381,500,548,708,105,672,
080,747,199,497,721,063,993,410,276,800,840,701,996,284,163,259,656,303,070,
678,391,059,488,645,805,958,885,041,538,883,411,651,243,837,000,821,059,374,
374,326,324,375,062,897,898,303,110,542,315,996,682,050,680,446,583,101,757,
870,317,768,697,253,226,661,895,564,614,017,805,011,765,024,412,748,527,336,
175,454,081,758,018,728,738,874,175,230,490,409,443,335,549,436,402,887,126,
053,788,398,530,406,391,396,799,354,357,931,109,636,607,082,306,487,294,171,
223,529,552,670,304,609,095,248,880,639,465,271,288,010,132,840,105,236,107,
746,579,142,761,615,096,242,832,247,419,231,595,014,932,300,319,708,223,761,
264,869,678,335,800,451,719,960,167,255,997,387,172,170,813,591,704,591,304,
904,805,216,593,535,536,213,998,683,346,519,366,685,280,709,067,276,964,156,
236,297,254,399,485,807,313,559,511,200,800,197,449,445,316,310,636,436,149,
970,096,737,348,015,431,078,712,245,545,620,841,669,382,280,794,261,818,084,
534,998,013,303,330,870,858,565,166,255,616,968,424,186,731,266,839,255,809,
006,655,607,941,454,007,770,884,396,950,542,429,266,378,140,118,018,433,829,
722,005,853,143,534,403,278,080,087,608,117,791,603,514,033,779,816,351,111,
338,523,338,614,487,882,620,295,952,047,226,240,025,198,678,667,786,949,162,
344,157,149,460,197,677,306,532,820,130,415,801,189,117,543,018,147,709,812,
087,165,625,034,318,058,061,072,196,883,498,362,150,520,877,763,682,340,327,
574,861,615,574,707,221,821,891,488,769,862,226,840,580,011,886,219,753,945,
962,811,902,870,940,001,554,126,148,970,706,960,160,007,769,162,456,044,067,
745,789,652,744,251,303,734,359,553,323,935,009,192,028,454,617,139,063,191,
071,769,039,381,410,999,009,253,515,885,409,494,418,152,450,579,098,504,422,
738,443,915,963,864,865,423,250,580,723,554,381,597,057,671,688,765,001,813,
455,674,389,593,508,602,665,100,225,239,887,550,488,174,149,708,841,444,444,
772,330,986,117,156,141,184,170,082,218,949,520,596,791,231,076,546,399,880,
435,128,314,164,232,283,196,654,774,154,388,646,785,614,763,565,198,571,539,
913,085,227,758,691,751,486,433,299,888,032,926,614,426,324,124,411,283,499,
097,919,746,878,328,803,464,769,453,348,348,453,808,286,480,701,092,232,402,
973,323,994,078,179,295,132,995,929,538,966,410,334,852,598,497,242,427,515,
014,429,100,870,722,403,922,524,704,628,832,199,066,481,670,139,134,039,407,
003,917,329,302,260,787,043,237,266,891,303,374,397,816,041,100,434,453,590,
375,222,009,747,761,617,857,710,540,919,711,748,444,506,618,411,536,935,975,
925,930,506,916,331,403,162,615,701,453,742,872,169,410,875,616,452,841,524,
287,370,001,663,221,427,325,546,191,344,917,180,722,384,141,637,155,215,384,
195,631,378,753,554,734,059,677,552,228,580,910,557,339,780,372,583,068,493,
691,949,425,761,421,605,723,407,536,926,736,225,519,320,526,900,680,171,584,
662,252,465,081,573,723,878,892,260,433,678,098,216,478,789,325,911,868,831,
510,537,544,823,051,014,555,672,367,847,700,300,095,707,530,882,528,217,313,
826,322,915,500,381,004,614,560,448,536,206,121,038,368,908,739,817,834,314,
650,757,229,446,937,960,149,883,793,074,199,710,393,163,783,055,904,268,778,
178,590,374,831,561,244,017,063,332,887,855,256,762,777,099,167,534,559,703,
208,832,045,373,731,226,190,216,002,175,409,692,730,263,018,866,605,234,953,
085,065,905,932,899,413,812,991,227,746,080,151,527,897,084,131,874,731,377,
997,506,560,185,758,454,242,449,886,569,548,248,774,655,954,589,818,927,824,
083,388,789,432,133,653,435,856,790,589,904,483,229,365,490,474,962,809,393,
994,067,278,370,848,358,636,447,714,868,619,932,790,301,904,274,070,763,943,
834,633,327,558,441,684,760,777,832,388,813,878,763,530,127,939,319,536,259,
685,336,242,322,227,420,408,642,220,466,880,221,996,687,053,056,629,702,736,
485,156,955,086,005,153,933,950,361,277,084,817,015,423,729,592,500,650,522,
504,604,089,813,694,556,920,419,428,747,977,457,423,678,161,553,076,759,846,
692,079,445,016,643,184,975,895,223,765,669,606,056,446,313,351,996,218,571,
423,216,752,942,491,820,771,436,845,236,512,168,718,869,616,397,416,112,996,
352,677,852,881,133,382,789,858,116,368,729,738,424,343,715,022,013,480,939,
031,631,237,578,092,879,775,320,057,330,556,676,755,391,486,723,510,381,345,
424,870,072,766,541,258,129,307,083,467,893,353,097,250,671,935,043,601,941,
931,571,790,609,709,790,286,100,641,264,790,132,377,868,173,089,740,209,831,
218,479,045,673,074,290,039,289,731,212,556,853,659,840,041,418,319,748,013,
350,101,199,800,019,534,646,821,043,782,172,154,589,267,038,236,279,628,175,
043,130,770,895,584,634,242,315,752,761,651,190,617,299,478,145,040,771,820,
456,512,316,579,177,202,525,311,583,798,283,303,286,965,322,506,162,785,116,
542,068,769,428,304,951,022,539,432,373,383,694,286,071,356,997,334,465,177,
634,345,445,307,616,443,778,472,874,902,467,918,879,460,538,051,852,589,919,
913,460,128,631,888,042,311,302,967,771,343,923,617,809,430,244,994,779,328,
802,053,331,688,018,959,278,181,353,450,282,573,354,374,101,448,416,959,069,
073,884,011,314,883,630,266,947,748,812,055,973,804,871,764,122,911,741,591,
942,999,138,672,319,619,873,696,579,501,139,031,750,943,418,555,546,604,634,
359,494,780,950,904,882,999,150,438,846,865,661,466,579,550,838,913,594,365,
539,068,806,469,828,093,898,302,866,401,229,225,615,182,540,356,777,102,992,
774,476,590,464,968,990,415,614,475,146,670,270,646,417,904,200,486,104,659,
272,696,402,871,093,440,317,431,687,794,830,015,785,043,697,835,333,485,405,
486,998,166,070,892,047,711,397,487,387,063,712,179,150,180,622,486,391,559,
473,676,364,719,832,751,346,369,000,159,933,385,203,100,139,668,376,979,289,
769,234,691,629,267,203,937,232,101,611,967,372,150,607,254,586,236,596,762,
778,529,711,590,863,449,722,492,153,398,330,163,945,070,843,014,424,602,682,
203,311,221,282,703,822,974,386,057,757,648,967,553,982,670,236,966,774,335,
335,181,291,047,585,138,399,794,720,370,429,140,071,042,707,542,593,636,395,
095,268,747,433,079,646,162,696,981,105,376,771,833,075,662,118,226,652,447,
792,704,663,234,509,014,730,909,093,756,377,018,341,403,330,623,276,936,962,
233,642,220,840,585,752,875,490,689,233,450,707,597,170,662,416,859,312,955,
584,536,100,529,907,684,389,102,084,974,720,712,415,497,097,197,386,769,829,
159,142,045,251,246,687,701,568,223,962,799,138,472,350,765,766,876,697,121,
683,493,628,630,931,328,961,869,641,262,539,029,129,948,951,154,314,020,074,
457,664,258,079,826,241,175,410,911,614,306,006,659,391,176,498,536,434,073,
557,556,931,960,764,324,754,850,606,482,159,618,926,070,250,796,695,529,683,
133,382,811,376,417,673,197,498,384,905,851,783,343,236,850,752,127,177,439,
335,164,405,334,510,376,273,595,870,462,974,516,237,819,562,750,428,152,608,
909,433,473,666,234,132,279,322,234,894,327,004,945,294,382,586,207,501,653,
300,937,799,208,413,690,781,400,722,190,272,702,789,698,218,929,879,731,275,
901,774,663,350,372,868,455,550,202,833,019,066,506,721,050,893,324,923,489,
008,761,675,631,124,422,298,061,524,421,269,296,647,876,180,172,282,410,464,
346,207,743,553,752,902,045,642,165,594,756,599,466,958,287,741,079,006,412,
601,636,676,123,330,187,774,597,671,281,771,567,562,069,172,786,434,310,993,
598,965,506,206,828,949,782,839,209,188,398,462,971,969,381,278,807,159,809,
225,194,440,380,927,991,879,274,063,309,111,488,855,497,371,261,161,392,366,
618,024,452,258,472,857,965,883,366,931,488,820,936,207,903,430,220,370,541,
404,151,847,914,706,664,259,311,750,244,082,704,843,776,403,955,239,659,913,
900,622,945,457,771,837,136,025,936,270,633,926,413,069,803,726,278,603,367,
005,034,014,929,779,988,605,302,593,851,014,199,018,407,058,847,928,960,786,
270,801,338,034,528,259,746,177,796,480,460,676,534,885,344,695,032,195,247,
467,252,766,183,017,476,960,404,709,177,365,278,774,320,383,227,303,760,613,
013,433,482,603,487,306,064,648,418,254,415,444,060,664,857,589,971,785,346,
900,852,478,339,364,637,067,629,879,517,008,163,940,236,402,856,615,691,763,
846,404,463,817,852,455,274,944,548,214,072,919,880,472,987,745,706,428,786,
807,365,090,925,386,270,734,983,966,348,924,578,283,316,801,839,779,749,043,
731,258,317,479,050,115,740,388,439,277,779,260,911,742,413,058,732,682,483,
510,505,802,026,063,299,891,937,145,038,237,657,629,938,628,613,605,540,782,
618,930,205,117,957,576,679,647,351,688,413,568,882,702,861,113,833,125,002,
020,403,401,173,503,610,356,338,406,041,987,423,880,392,531,204,407,547,019,
966,423,442,052,447,382,904,016,926,214,174,993,833,702,002,432,641,791,331,
624,980,195,574,038,766,994,776,645,694,522,288,488,726,276,253,544,471,326,
033,965,113,333,588,934,680,833,808,271,618,103,470,811,495,045,484,112,421,
985,304,066,384,039,465,914,256,707,001,400,157,670,232,604,922,091,816,384,
809,221,980,493,934,073,386,792,250,783,372,634,821,897,194,691,193,890,704,
874,609,216,642,394,440,108,181,613,483,335,435,667,732,184,782,448,169,690,
112,800,485,605,177,932,787,995,415,206,327,625,821,066,781,305,302,101,565,
822,353,042,573,225,786,831,520,050,628,797,321,216,354,170,283,173,127,570,
292,428,379,354,430,447,232,143,105,743,427,981,026,286,044,146,180,717,880,
562,464,896,299,501,839,024,347,064,043,490,521,264,521,236,425,292,337,920,
364,886,990,746,046,917,261,455,221,255,605,257,276,889,314,717,548,050,905,
406,944,998,821,459,757,944,830,075,386,610,030,499,532,610,206,153,195,323,
225,642,489,297,972,614,191,354,292,708,842,352,702,410,488,987,082,104,482,
986,371,788,023,965,463,715,779,476,678,543,909,282,272,191,388,430,278,234,
076,241,889,795,890,415,574,679,561,160,563,634,032,277,345,133,054,834,165,
566,777,719,519,601,438,659,613,292,093,413,824,672,379,365,993,720,717,156,
997,698,211,039,571,533,225,782,018,584,201,033,517,091,992,019,411,956,076,
952,932,492,720,058,394,596,619,399,426,469,932,397,438,315,088,510,887,113,
521,118,173,386,702,708,805,992,123,317,604,510,686,112,322,277,151,676,676,
988,546,917,095,738,967,384,746,185,827,845,226,706,852,622,377,836,251,844,
515,399,536,955,889,976,222,650,616,750,200,825,417,117,223,820,941,532,823,
070,011,373,325,070,006,229,730,373,755,047,413,613,517,404,227,954,653,141,
417,445,324,577,871,373,023,688,036,797,822,131,099,329,278,197,446,927,444,
200,994,313,024,297,191,749,920,281,723,024,371,472,742,333,793,824,870,242,
715,353,993,827,467,657,300,966,180,966,091,127,753,073,957,645,582,478,722,
350,605,823,566,065,527,955,069,994,274,605,796,572,073,667,076,257,656,556,
836,183,478,779,742,357,495,024,997,448,458,244,909,385,376,010,953,087,982,
561,882,288,761,581,725,837,460,220,399,982,682,610,734,744,936,087,145,795,
011,785,833,110,614,020,174,276,178,154,344,629,297,357,588,790,147,122,868,
974,274,954,616,564,815,819,786,285,130,396,523,026,851,604,669,481,317,401,
369,116,544,236,321,113,650,705,291,771,175,387,788,383,029,707,677,679,525,
761,001,137,288,952,008,709,355,515,792,464,145,431,471,866,141,142,756,158,
886,977,197,715,912,855,381,953,575,986,685,187,864,389,970,758,186,808,924,
356,046,323,476,643,996,763,903,638,230,566,905,517,875,760,984,415,657,344,
583,330,752,304,816,207,031,435,512,180,255,330,914,361,537,671,968,335,986,
670,655,712,684,957,746,819,479,512,099,264,298,740,410,529,262,960,045,179,
137,162,989,888,019,074,735,424,849,023,890,202,163,614,101,781,155,280,799,
290,651,731,591,036,685,492,821,072,988,399,487,771,173,053,508,544,778,370,
557,538,037,911,510,165,919,940,025,167,223,552,291,245,608,828,656,718,859,
545,954,460,895,808,608,178,181,297,348,906,370,827,496,163,141,754,199,462,
106,314,948,204,567,321,663,502,686,639,296,895,837,119,628,307,731,302,405,
044,544,327,605,318,176,976,756,452,936,251,275,772,980,187,003,553,772,169,
937,442,514,356,278,508,553,837,669,927,653,912,372,661,925,854,581,179,502,
873,261,281,687,608,143,263,268,921,263,782,065,522,898,965,424,562,590,348,
565,872,884,255,719,557,614,086,019,719,867,093,652,760,258,125,552,031,292,
964,751,943,464,047,388,017,156,772,982,982,333,839,417,506,997,545,465,220,
982,836,248,077,236,027,886,239,523,218,347,248,278,464,108,004,398,142,692,
592,530,911,186,483,951,968,724,789,775,947,564,738,789,650,790,326,234,508,
718,637,113,892,991,134,074,160,114,586,424,306,519,340,839,053,413,435,750,
353,676,269,555,051,518,967,011,873,746,802,405,471,382,951,263,972,440,268,
216,688,819,188,947,854,603,445,468,711,645,602,991,126,479,081,996,482,579,
947,548,233,164,616,289,099,119,701,174,697,863,354,820,838,479,574,999,299,
416,581,266,486,301,349,441,044,420,164,572,231,287,040,613,807,779,792,309,
517,823,659,804,799,232,772,834,690,672,886,452,933,957,717,731,231,818,691,
033,266,069,454,309,619,339,835,293,120,245,542,475,741,716,760,843,328,208,
668,687,158,249,241,592,834,882,553,113,826,570,211,576,583,271,054,900,853,
474,987,683,622,465,599,838,879,823,811,909,854,467,827,352,209,676,648,525,
481,460,669,522,760,967,671,007,895,602,587,705,808,171,104,283,389,574,217,
799,532,799,317,194,896,602,934,793,130,002,960,605,414,079,635,243,606,607,
727,781,579,726,170,891,351,188,997,314,907,531,219,940,287,404,531,520,935,
120,742,035,198,324,296,684,970,602,587,883,549,947,650,584,587,722,125,828,
384,826,719,997,761,192,667,514,130,184,819,359,286,592,527,392,860,160,833,
157,869,897,481,808,207,928,018,406,179,267,372,228,172,571,248,692,899,384,
614,860,403,753,346,629,966,859,155,433,290,592,308,168,316,462,817,924,978,
393,140,788,517,884,822,710,329,078,423,966,702,846,500,631,480,921,206,698,
692,565,033,562,302,482,942,142,881,140,853,432,650,843,779,838,576,712,986,
158,173,548,618,652,451,339,122,494,714,636,137,965,858,932,533,562,168,176,
529,184,766,617,117,956,224,088,783,025,758,574,767,791,937,082,157,357,022,
281,220,837,052,585,182,581,717,719,576,792,537,928,220,285,724,464,035,199,
761,848,859,842,887,031,701,408,248,475,281,876,502,497,528,281,542,708,182,
003,321,103,754,195,915,647,467,582,366,250,571,675,426,392,473,902,630,234,
580,468,843,002,571,167,840,073,388,462,791,604,464,740,049,899,313,785,425,
284,498,779,956,231,653,051,723,792,457,010,457,660,207,658,777,004,143,401,
068,792,008,214,646,899,867,512,187,817,362,666,984,214,478,179,187,672,653,
369,115,520,001,928,074,902,661,124,658,769,264,469,489,047,888,384,081,619,
867,276,623,313,866,458,741,608,865,812,775,901,091,221,391,368,147,100,387,
342,842,484,739,317,116,806,224,764,229,077,972,577,354,558,191,424,635,426,
469,483,231,118,697,910,211,709,132,561,449,176,274,302,424,675,663,921,446,
649,240,796,562,544,665,446,549,700,837,562,723,028,470,917,422,577,609,777,
882,326,220,979,104,994,325,276,028,919,571,025,830,715,463,130,561,876,030,
222,118,301,794,477,972,850,538,850,396,151,818,445,471,274,920,514,150,899,
042,491,685,058,689,471,201,552,609,811,008,406,456,112,289,464,480,218,918,
366,417,001,213,553,206,545,221,788,297,594,122,342,978,985,972,146,688,448,
243,654,720,774,981,306,098,260,887,125,906,337,799,101,276,649,901,003,545,
934,375,359,278,457,198,505,098,397,057,167,619,246,031,441,919,352,836,520,
115,652,777,106,300,723,757,966,010,355,559,569,495,307,312,560,627,799,963,
981,921,505,867,053,919,363,816,317,152,859,952,004,270,635,559,867,379,112,
698,113,036,921,614,152,111,140,353,354,293,321,441,000,866,189,209,695,925,
871,841,995,291,236,817,617,823,770,298,122,073,100,685,254,245,419,662,957,
335,517,875,459,362,903,326,557,158,066,069,172,341,905,636,578,116,662,941,
291,263,249,050,752,437,610,338,882,585,689,189,344,014,428,955,034,997,185,
274,186,909,369,258,205,449,449,847,624,555,048,045,730,176,861,369,120,626,
954,575,610,677,349,975,649,177,251,129,530,711,698,014,037,040,251,370,095,
266,757,813,173,573,022,696,130,468,543,911,709,082,963,706,761,495,885,536,
405,595,206,711,808,806,519,851,445,909,787,293,750,388,509,211,658,339,090,
788,836,511,606,164,170,451,287,173,380,282,878,101,384,706,601,210,206,053,
390,419,947,448,063,288,788,471,966,456,525,667,268,074,105,143,318,302,607,
803,778,841,259,224,232,102,874,630,961,110,759,110,291,563,616,770,491,954,
842,234,594,894,858,177,573,698,896,977,547,784,577,560,692,985,012,224,128,
318,927,010,960,534,291,025,864,456,194,033,202,880,009,325,356,424,326,298,
710,818,988,233,579,392,752,722,288,568,892,943,984,127,595,273,900,863,020,
075,182,197,727,584,928,410,673,312,006,892,324,843,727,277,525,311,507,126,
113,775,543,296,740,478,152,044,974,528,337,426,976,372,492,465,394,671,041,
209,378,421,592,361,181,519,052,076,873,982,506,899,671,491,267,173,231,693,
094,094,905,676,014,470,908,099,834,074,310,146,207,982,636,221,249,962,859,
894,211,741,061,703,895,183,827,731,817,350,129,371,716,897,707,386,804,953,
933,163,286,680,302,269,036,472,540,922,878,571,322,464,872,692,158,892,425,
148,021,272,386,492,200,720,864,694,841,315,053,963,815,117,479,843,226,394,
373,771,587,714,702,503,815,949,507,087,438,274,297,851,446,886,643,062,601,
109,848,680,826,100,078,357,097,187,011,344,984,708,497,726,659,019,038,738,
975,579,465,148,792,825,761,102,073,249,465,892,565,589,494,138,010,915,577,
906,465,815,331,081,939,805,201,466,410,171,916,000,709,384,489,622,867,355,
428,394,519,393,005,186,650,639,731,808,201,856,373,336,681,403,510,874,416,
509,626,803,048,164,708,808,278,556,250,912,851,814,188,322,455,348,174,519,
191,597,982,866,317,292,858,302,260,978,186,920,698,529,749,807,789,974,555,
474,099,453,627,387,189,856,772,220,039,597,139,039,781,115,070,847,985,945,
128,831,745,820,579,868,974,709,793,022,608,181,207,101,348,929,902,098,735,
891,315,818,241,177,816,625,634,312,995,118,971,030,785,594,303,183,436,859,
719,536,860,724,880,723,902,288,879,278,192,841,886,283,476,610,315,074,835,
395,183,870,079,025,058,128,768,106,456,167,629,468,042,922,171,503,831,649,
254,047,208,806,944,854,931,612,868,725,197,847,970,319,841,391,872,106,106,
042,090,385,403,559,071,383,851,171,728,867,789,321,531,432,493,968,194,764,
038,881,063,521,017,441,768,269,069,022,146,304,759,442,200,740,119,921,042,
883,664,902,673,060,568,242,755,187,228,205,460,410,831,802,553,169,581,684,
524,895,091,087,209,796,830,263,045,016,430,868,967,162,086,434,581,421,247,
674,164,435,276,397,598,762,901,230,789,099,337,524,916,243,082,463,399,255,
471,692,408,327,862,260,625,066,498,578,742,371,325,575,890,315,370,273,058,
876,072,952,957,850,663,901,380,513,061,394,836,140,836,106,387,684,424,391,
797,399,376,551,354,704,006,044,841,682,451,068,215,333,581,688,076,923,530,
972,038,587,653,866,549,364,453,640,282,175,035,780,080,483,360,905,914,613,
767,823,943,560,242,406,995,013,258,218,426,765,684,994,210,098,765,917,908,
978,073,114,636,343,723,942,808,721,014,929,810,026,547,965,073,221,095,511,
444,998,282,130,926,746,145,791,287,777,888,576,179,014,591,750,253,640,207,
833,540,804,300,887,651,233,270,861,474,216,215,554,214,242,333,028,773,799,
519,029,295,231,367,788,543,525,039,454,868,045,047,420,875,614,969,273,166,
100,578,513,175,881,120,814,248,371,634,108,708,102,331,255,154,707,923,882,
561,397,254,076,284,522,696,250,202,096,771,230,517,047,602,922,828,948,386,
465,993,723,878,761,159,771,270,895,131,633,292,600,286,209,892,287,906,324,
297,947,142,079,492,935,749,001,467,282,957,422,727,899,143,315,602,193,779,
778,321,967,675,073,743,558,574,726,739,508,494,252,534,806,230,583,355,497,
279,151,834,954,147,036,054,934,038,304,444,558,742,240,081,482,828,669,598,
373,841,873,711,658,087,715,676,213,356,860,000,847,454,451,840,466,210,453,
129,857,285,453,569,907,871,431,084,002,056,288,816,297,027,413,801,374,331,
621,335,057,269,090,484,256,621,681,021,237,165,852,736,716,829,376,982,306,
239,128,249,771,605,422,404,235,002,356,006,281,864,533,945,364,209,615,453,
432,425,122,150,543,830,133,352,404,392,623,269,263,740,665,311,882,601,077,
297,315,498,349,770,418,982,088,806,336,095,033,176,308,379,382,193,601,952,
968,047,182,188,816,280,734,675,013,515,097,142,533,325,487,971,006,740,839,
055,503,463,502,397,520,588,550,372,390,121,120,315,156,938,715,342,993,513,
041,275,305,854,325,881,861,002,418,006,458,327,708,354,134,607,548,835,391,
923,457,063,835,885,343,760,246,603,000,280,406,730,238,890,579,577,725,648,
896,722,840,493,020,567,886,243,634,790,328,062,655,326,828,861,854,068,792,
283,147,273,626,118,674,321,838,035,117,166,801,057,736,893,047,376,363,747,
444,541,597,531,035,959,968,961,418,711,392,259,732,197,649,493,344,028,602,
541,285,873,685,424,790,235,075,949,913,233,344,784,487,596,396,108,570,786,
731,862,461,372,078,016,299,881,195,307,834,457,789,179,896,689,798,346,510,
460,367,367,870,587,292,211,275,280,875,865,014,485,629,220,405,728,526,732,
001,168,697,051,844,725,551,849,270,535,439,784,127,798,753,589,502,101,763,
926,858,565,577,456,996,751,194,840,075,230,442,505,643,906,451,772,476,640,
346,808,513,743,205,331,321,138,742,441,021,877,594,019,161,689,430,544,754,
310,132,800,083,473,874,351,853,558,708,806,420,256,472,914,334,054,372,310,
820,584,723,387,051,163,990,407,362,652,413,831,829,991,856,256,662,172,178,
777,392,435,104,809,145,617,837,916,066,938,831,582,274,109,587,009,300,281,
290,309,933,209,957,391,178,332,345,777,325,083,015,284,107,867,756,067,151,
635,173,274,366,683,967,003,460,662,522,917,091,078,085,752,418,999,983,878,
442,812,685,543,816,313,399,396,010,712,229,402,808,575,249,169,085,996,591,
407,305,402,910,537,329,506,366,908,672,116,743,534,557,389,350,180,806,302,
033,339,140,026,330,273,251,144,583,396,814,839,988,232,930,749,949,452,856,
057,937,437,102,160,822,840,358,848,049,481,441,118,679,462,899,154,102,536,
568,330,497,457,344,727,377,847,996,954,773,967,202,284,982,202,633,224,572,
931,260,731,990,823,681,574,453,305,640,048,453,278,083,094,666,258,624,736,
618,150,668,079,434,991,619,948,509,403,957,850,999,271,716,327,761,957,423,
478,579,259,284,546,763,943,683,466,630,446,235,524,635,187,152,007,131,227,
596,716,225,996,728,472,371,101,993,967,203,110,447,052,296,406,650,709,617,
821,812,091,676,534,784,157,062,368,492,025,736,914,194,981,681,963,887,202,
732,516,772,934,419,312,547,168,303,049,703,781,011,971,942,180,866,074,031,
361,845,224,182,041,532,571,568,888,097,662,553,278,052,624,605,148,084,553,
628,445,369,847,486,973,886,403,172,673,735,757,012,243,408,739,343,470,706,
971,990,932,721,149,048,497,433,554,805,857,118,215,870,510,185,085,241,406,
471,098,763,455,552,386,546,113,636,290,878,293,389,979,583,444,621,343,215,
084,837,982,947,221,281,454,205,926,626,393,218,325,002,855,137,313,633,862,
037,761,891,538,813,269,719,976,841,433,192,297,596,260,261,355,290,154,045,
557,728,342,720,787,530,583,450,940,541,533,521,382,048,973,309,189,442,449,
358,564,086,632,514,647,719,246,223,148,388,961,567,356,024,264,461,605,286,
781,264,136,985,702,496,763,961,656,989,095,741,479,719,574,347,814,083,934,
206,718,625,668,294,917,744,613,271,426,808,073,399,466,289,378,514,509,177,
065,012,542,075,850,033,555,852,948,895,076,206,420,547,893,308,592,218,718,
900,840,306,998,964,794,227,829,462,259,636,609,583,754,360,292,191,365,189,
772,774,683,922,628,202,022,942,727,805,150,140,266,873,529,809,109,566,399,
134,920,016,850,725,679,005,336,044,300,374,910,326,698,739,863,598,552,609,
908,663,126,863,450,082,893,264,755,739,417,805,872,437,124,053,983,856,205,
489,700,364,463,002,566,951,780,200,505,503,390,743,182,397,958,812,846,956,
591,071,107,671,537,887,270,829,594,207,567,705,189,901,790,482,724,731,587,
534,510,786,129,688,304,763,805,320,403,219,216,880,298,393,907,558,014,556,
133,444,876,214,962,875,623,228,794,847,414,573,505,916,953,065,411,859,902,
428,693,732,622,024,363,272,471,355,690,270,491,516,496,437,578,304,920,908,
199,279,970,694,804,092,886,621,805,516,827,241,329,173,759,196,928,486,122,
203,643,270,383,479,709,393,321,377,280,482,654,200,912,293,860,675,086,888,
302,972,201,481,657,598,120,924,126,080,003,222,221,527,917,674,121,797,737,
897,741,003,343,832,036,662,927,068,816,233,115,688,617,790,706,055,752,386,
493,512,755,616,709,846,527,716,929,521,449,173,718,485,818,243,575,707,619,
190,080,501,416,395,416,049,589,865,613,367,197,257,160,074,978,346,758,026,
087,160,906,047,643,744,210,156,564,500,129,464,203,000,941,571,816,701,640,
735,075,737,064,774,887,035,764,016,858,025,893,436,277,185,697,037,208,260,
552,680,575,649,970,375,894,034,248,191,288,351,491,621,190,072,110,699,478,
019,162,457,764,210,178,921,000,171,809,742,632,652,217,430,427,695,274,285,
618,376,635,811,417,369,405,679,820,181,434,949,380,932,521,596,528,463,365,
659,952,217,774,265,368,133,682,465,257,168,827,588,753,896,921,271,525,376,
278,792,282,728,631,383,120,282,439,747,321,412,752,408,154,949,965,374,521,
619,859,304,969,106,558,349,476,047,159,206,650,889,054,749,401,914,090,359,
782,370,824,016,844,806,651,564,406,604,116,264,935,612,637,523,888,073,794,
176,330,664,638,042,159,864,146,825,743,307,973,765,858,687,337,231,836,683,
808,111,341,370,408,597,360,570,286,445,530,564,051,597,364,431,631,830,325,
046,658,317,405,101,786,774,947,186,260,754,087,393,067,511,018,926,782,749,
882,936,743,089,953,935,391,164,704,446,350,939,383,715,347,623,253,628,543,
784,559,087,977,768,761,575,654,554,857,912,680,892,769,455,344,133,975,292,
310,500,802,078,762,994,824,139,529,797,391,773,954,399,996,244,310,419,180,
114,615,625,594,588,058,664,920,770,809,810,842,993,497,477,349,176,578,287,
989,352,931,085,812,416,949,930,339,821,835,411,278,965,726,970,318,700,925,
144,945,653,681,640,329,026,937,495,503,185,919,063,743,075,194,823,835,738,
989,558,666,930,048,782,953,001,448,824,865,751,604,843,549,130,521,413,817,
626,935,232,374,007,924,193,807,886,350,573,353,376,283,364,720,648,926,554,
440,946,486,236,215,081,356,743,127,199,563,355,411,292,464,029,469,814,971,
818,248,810,509,113,722,517,298,296,253,428,299,682,607,695,589,448,572,132,
101,883,307,378,595,043,238,351,381,917,358,199,809,893,466,172,654,576,104,
237,636,335,117,640,941,166,295,132,866,064,650,098,453,818,817,557,522,222,
255,430,740,968,119,505,180,063,001,727,119,199,586,932,597,322,788,520,255,
264,284,248,528,302,630,514,791,052,542,187,398,923,550,083,256,411,138,118,
486,954,411,121,570,971,820,806,537,628,146,960,826,403,350,622,470,649,755,
164,125,240,165,001,719,794,179,153,627,963,628,105,627,902,793,193,289,171,
100,090,317,739,531,463,354,355,131,897,529,491,690,074,813,778,816,227,848,
510,296,359,462,855,413,441,702,110,108,888,127,520,392,234,386,175,722,634,
486,621,707,976,392,195,121,485,564,612,673,971,087,897,522,771,884,388,694,
175,431,551,155,949,627,867,548,025,824,290,888,647,943,644,917,664,539,765,
115,545,939,116,657,536,576,831,177,445,021,046,224,021,969,733,924,764,434,
015,818,671,210,994,962,480,416,180,191,661,549,876,190,769,555,306,559,435,
640,940,931,623,084,638,431,640,879,150,121,856,106,580,720,116,301,567,141,
331,951,978,728,522,205,597,402,837,922,884,498,851,846,084,298,421,121,864,
163,507,778,059,323,707,314,290,906,408,292,769,811,886,534,853,440,662,314,
073,145,711,856,417,640,923,687,485,372,718,217,962,595,311,496,339,702,954,
981,938,443,033,169,757,149,164,478,534,413,886,419,547,854,428,005,169,912,
857,822,319,530,978,835,476,408,196,168,922,405,614,063,107,473,749,236,103,
366,914,297,105,089,162,128,924,346,716,829,956,620,384,525,775,662,953,695,
776,026,806,170,029,553,747,376,854,452,611,803,857,001,892,232,672,345,830,
654,597,816,887,563,962,039,715,399,290,415,752,772,888,961,739,218,281,752,
465,225,244,252,742,410,087,775,931,261,276,354,990,256,455,688,985,450,190,
068,418,508,766,061,287,737,113,512,669,095,454,259,508,730,232,203,832,797,
091,003,368,102,476,571,307,380,362,768,899,316,105,756,848,332,722,895,580,
636,365,566,500,885,888,318,476,869,840,842,997,368,075,934,072,132,444,274,
559,538,396,976,610,853,762,151,192,990,969,081,520,351,461,832,646,979,717,
991,835,879,857,234,516,915,759,538,487,348,248,735,401,789,222,429,228,647,
232,420,703,306,072,404,615,831,413,983,831,554,127,582,779,354,022,708,249,
476,204,160,340,306,238,594,610,672,344,333,323,301,390,675,712,335,991,478,
585,594,915,795,267,625,465,756,080,494,895,136,748,920,547,072,192,838,798,
825,080,038,341,314,981,686,078,317,839,832,281,890,482,177,406,790,917,814,
833,721,457,213,352,279,013,956,987,241,202,834,311,438,291,354,279,034,235,
853,144,445,685,192,750,161,677,452,273,279,158,577,112,963,033,305,839,251,
524,359,708,295,597,079,879,730,622,208,903,887,782,306,161,688,304,236,858,
190,500,155,203,248,393,628,431,731,217,410,318,804,454,835,859,332,983,859,
213,102,932,823,794,933,605,894,677,129,908,213,402,674,089,427,664,440,175,
991,742,134,859,489,154,976,490,675,049,429,662,039,373,237,378,939,837,377,
146,431,529,953,536,368,808,751,841,008,953,640,550,341,629,814,416,646,142,
433,928,937,363,450,709,642,100,456,232,926,460,682,295,688,924,288,880,316,
963,382,933,490,219,458,913,530,359,976,160,194,894,911,831,643,125,707,128,
013,799,205,067,253,856,390,871,789,153,033,327,091,885,308,177,364,245,341,
442,347,990,371,546,440,390,276,251,387,961,814,841,289,303,222,935,870,073,
318,670,654,376,084,158,150,481,889,021,724,235,485,138,023,221,452,176,156,
191,795,913,279,483,598,117,038,092,148,657,365,115,864,020,190,707,955,744,
844,793,685,537,374,232,807,075,530,014,550,308,192,807,110,106,087,201,829,
947,225,476,158,265,530,533,300,130,132,052,275,081,235,494,712,396,837,752,
977,119,519,918,140,937,720,406,905,215,565,524,900,411,153,387,398,041,372,
359,015,778,017,897,545,219,258,614,405,956,756,681,244,839,351,175,305,625,
380,692,627,740,663,891,360,238,601,080,134,653,537,278,220,315,656,916,027,
000,998,002,860,135,443,084,806,583,896,270,107,870,424,360,661,029,908,094,
308,309,055,636,490,705,444,414,981,979,190,321,128,674,763,165,944,994,153,
979,722,061,123,590,481,038,475,269,579,360,527,297,661,758,262,117,133,311,
545,607,604,030,529,127,250,796,781,138,995,478,469,752,073,595,661,236,363,
894,808,267,333,316,263,085,544,151,605,257,948,815,634,926,194,620,506,031,
245,107,794,019,215,033,695,216,566,425,553,801,695,915,911,156,999,928,676,
002,069,350,369,712,915,580,087,770,019,077,606,102,996,418,805,084,555,501,
461,411,705,699,008,327,019,716,761,804,331,728,633,378,922,130,993,467,640,
043,192,732,589,637,883,049,257,875,462,298,728,454,261,645,279,024,379,726,
764,271,277,566,618,350,418,783,301,811,950,866,984,355,567,635,654,767,211,
577,153,631,929,700,615,586,949,739,240,464,309,383,425,713,706,220,200,337,
374,308,329,191,267,866,548,791,063,298,868,239,487,934,509,405,210,238,751,
961,930,552,857,137,773,889,143,886,447,296,580,281,522,475,482,787,705,199,
620,270,110,745,873,649,142,566,813,622,042,036,078,979,022,718,951,148,648,
023,656,949,719,991,735,912,314,242,986,233,331,564,571,860,670,086,163,866,
379,327,324,141,784,754,998,268,478,636,789,662,651,790,139,354,622,237,106,
889,706,340,110,998,063,727,120,822,728,218,403,513,201,418,858,487,456,049,
974,859,735,280,981,343,372,700,451,027,233,281,442,258,597,445,349,107,516,
453,194,688,246,235,641,513,570,306,638,262,716,528,906,273,512,556,218,805,
569,891,323,900,637,450,352,625,152,011,352,995,037,445,547,950,587,995,315,
527,991,377,403,093,528,081,718,205,492,939,515,862,303,768,169,545,289,605,
787,088,905,486,905,400,429,289,679,970,285,238,227,900,955,887,558,336,882,
667,825,332,636,026,633,879,832,217,211,863,852,021,601,922,513,587,265,189,
364,778,121,723,460,825,400,444,190,036,961,760,226,667,620,365,033,635,943,
707,745,873,323,910,283,345,312,233,518,327,218,871,896,195,094,111,889,884,
326,985,939,415,858,879,908,630,265,139,574,156,272,755,221,271,006,379,456,
978,252,404,116,862,181,466,749,209,288,591,737,032,603,103,921,574,527,911,
104,630,104,741,715,558,191,570,267,518,881,021,283,627,411,257,894,180,951,
945,207,578,829,209,818,820,396,280,600,277,229,416,388,727,475,899,227,446,
867,466,295,303,041,379,444,478,229,539,744,274,599,847,036,259,937,027,589,
966,928,677,089,699,735,268,120,144,518,957,922,593,070,051,590,886,577,751,
756,553,189,340,745,007,649,312,795,875,819,213,352,169,237,823,530,366,745,
248,025,642,541,009,701,760,004,507,455,468,996,072,493,752,531,877,277,981,
848,282,415,964,115,404,594,589,967,118,181,038,230,664,185,274,604,908,751,
151,680,556,507,847,742,142,485,393,981,559,982,159,971,024,266,793,743,112,
861,568,531,268,949,971,722,226,322,909,257,886,194,751,002,519,765,623,643,
677,656,460,229,591,548,974,532,925,932,295,298,134,022,534,700,213,192,320,
734,263,309,632,710,613,134,033,830,213,201,058,789,677,074,995,667,847,879,
258,376,451,115,519,158,160,125,261,997,221,197,703,180,860,774,756,888,902,
275,805,185,458,578,187,384,991,501,030,727,487,576,601,251,710,473,976,086,
590,941,690,620,467,373,145,386,855,443,881,172,366,726,227,304,070,483,013,
688,379,910,467,868,406,384,972,103,283,102,108,681,875,159,530,720,472,692,
058,468,870,662,037,554,057,641,865,080,111,756,726,469,212,648,630,845,762,
786,922,111,742,408,730,462,696,930,885,530,104,896,903,060,414,668,981,489,
012,717,060,197,050,019,578,179,376,232,196,378,930,310,901,482,746,619,558,
501,919,053,318,337,602,409,537,422,456,514,571,530,449,869,250,608,971,649,
551,778,247,392,317,374,787,850,874,942,850,047,466,726,839,200,818,103,090,
485,318,620,127,419,789,577,988,474,817,951,152,498,102,928,860,394,966,858,
969,983,270,638,433,921,762,682,474,022,364,630,951,686,713,320,843,946,096,
822,562,599,058,711,331,824,071,521,391,736,494,075,406,433,687,468,599,173,
267,772,479,082,893,233,865,651,326,737,560,206,740,068,350,401,439,523,501,
557,246,610,119,546,449,821,418,130,841,497,431,029,912,219,925,414,331,786,
632,060,905,699,780,358,478,783,012,609,097,486,580,827,539,940,744,116,705,
485,427,887,542,673,806,422,033,902,597,731,911,749,986,614,487,174,002,320,
091,054,888,005,673,023,699,662,302,730,275,595,969,157,910,055,265,623,517,
997,529,432,303,847,537,093,086,466,528,604,452,982,654,599,061,524,712,081,
102,462,722,291,141,578,868,492,562,353,684,853,771,357,526,524,355,291,594,
804,489,064,430,027,464,833,271,584,070,462,068,979,883,300,907,995,950,699,
744,691,393,893,994,781,957,683,847,711,778,907,029,374,118,396,338,931,296,
230,854,159,788,924,612,911,509,437,773,372,814,789,754,299,778,635,615,829,
893,796,636,910,367,002,604,228,386,227,260,367,703,565,462,396,641,626,033,
451,104,534,231,776,787,394,594,696,268,433,309,638,645,416,366,940,908,192,
352,240,109,089,573,061,668,165,219,430,196,590,167,377,431,193,254,299,105,
599,969,987,875,505,817,545,569,338,324,609,592,917,303,030,649,252,429,381,
455,325,590,595,657,967,057,757,904,015,559,798,256,666,754,451,606,355,073,
002,368,620,215,451,014,789,371,368,773,276,676,955,660,264,556,202,846,558,
975,986,109,690,820,870,467,601,883,586,266,850,122,204,234,314,677,096,949,
153,653,347,705,304,047,244,578,628,260,895,018,368,102,290,105,213,442,437,
658,471,161,442,123,428,158,747,271,696,139,704,327,923,438,871,283,745,642,
348,882,179,377,051,641,032,938,634,332,040,515,069,181,564,450,859,700,874,
257,206,345,504,118,560,366,859,012,559,662,774,242,008,948,005,957,679,744,
616,809,320,928,296,723,022,671,509,023,968,513,031,526,796,451,009,079,348,
140,526,604,474,551,129,383,713,196,293,649,626,044,848,762,011,104,215,753,
444,146,949,087,087,896,314,339,563,023,533,728,876,621,746,002,258,975,049,
155,624,255,691,363,067,537,832,889,226,550,230,576,762,692,487,281,765,008,
682,027,403,505,491,074,806,738,712,005,847,205,285,506,550,640,151,826,586,
467,302,997,397,987,276,604,428,621,964,846,177,614,035,352,431,328,171,152,
505,506,940,183,987,356,274,940,582,814,997,465,866,056,948,931,514,888,942,
686,619,405,964,180,884,759,443,846,738,261,278,320,040,103,410,524,729,912,
171,680,836,207,145,700,434,009,915,322,962,831,129,154,951,591,506,994,756,
976,231,545,286,958,156,204,973,538,699,518,790,346,697,427,283,959,274,049,
029,205,700,517,057,550,873,102,541,995,455,821,397,572,909,802,088,164,024,
598,952,548,042,821,271,200,328,555,182,695,786,244,979,798,945,235,252,144,
381,258,786,047,204,087,957,624,316,174,423,579,729,448,190,063,644,176,854,
780,523,450,933,888,480,418,143,011,170,408,927,166,925,838,390,790,144,573,
374,646,966,642,004,211,722,540,352,883,662,440,783,027,564,560,995,132,880,
544,610,156,357,842,806,590,933,332,471,173,931,859,418,116,081,512,681,216,
704,544,317,247,740,350,066,582,742,738,077,506,263,115,489,557,795,896,334,
427,321,617,870,680,539,408,656,019,760,354,663,007,842,275,009,574,328,707,
499,681,017,617,463,250,253,183,050,267,513,493,174,451,325,302,758,094,937,
417,113,007,694,304,464,338,454,445,288,883,451,450,159,353,085,261,043,357,
259,225,328,893,559,575,839,492,812,214,527,758,429,221,544,984,140,080,324,
170,739,675,999,413,244,371,110,385,241,437,442,540,373,501,147,267,153,278,
189,235,250,777,612,689,428,933,080,255,476,610,196,607,660,365,678,124,595,
109,774,022,403,838,864,733,028,831,065,819,561,781,294,493,317,895,008,291,
935,567,774,224,530,153,328,215,428,207,405,421,070,502,008,161,692,589,432,
728,639,943,994,578,532,357,968,055,768,058,793,822,229,843,989,009,722,856,
638,027,248,649,268,355,293,825,614,395,667,508,572,765,866,171,493,395,908,
835,818,169,384,286,339,659,387,296,179,776,890,045,763,868,142,504,931,560,
495,054,743,646,341,354,048,694,208,117,729,929,441,471,308,354,786,312,743,
925,645,395,168,983,369,206,430,397,498,684,451,000,207,394,247,612,178,832,
922,264,323,877,954,108,657,097,898,312,731,425,242,756,976,262,311,535,589,
358,261,736,427,771,000,127,698,590,569,227,396,671,966,750,640,509,812,130,
020,491,858,403,707,007,343,161,756,305,600,660,847,097,149,796,396,912,737,
318,358,504,396,913,597,299,218,227,350,485,595,288,736,521,254,128,170,254,
233,693,384,905,091,879,768,696,063,587,372,503,954,149,316,582,263,962,815,
601,795,048,327,275,201,651,934,831,758,125,202,703,235,997,422,169,604,179,
952,144,125,600,386,958,985,473,872,876,269,528,411,320,009,106,716,770,277,
248,062,192,590,788,835,181,507,871,239,907,751,272,493,906,543,479,420,840,
049,399,754,401,969,398,708,323,483,296,424,966,150,499,002,565,956,095,698,
564,937,738,238,185,507,766,757,319,305,019,027,941,491,177,721,437,952,899,
780,790,608,383,514,264,972,604,491,772,927,048,714,971,870,068,715,600,598,
578,698,667,090,986,629,904,261,333,497,929,833,162,676,312,545,095,510,705,
467,324,509,282,249,048,561,920,192,211,245,165,948,798,358,002,152,107,864,
700,015,512,524,842,281,457,118,983,439,303,137,699,214,060,121,497,001,996,
318,385,176,047,339,267,238,069,635,181,488,123,806,528,881,598,998,964,756,
862,377,102,036,028,660,796,046,183,985,058,250,808,638,355,991,705,384,935,
900,978,090,350,498,008,374,542,685,257,765,936,520,209,514,984,326,033,797,
059,094,366,965,544,764,683,587,242,630,708,292,574,884,441,592,681,154,834,
904,602,234,101,033,645,358,001,950,774,686,595,821,390,358,284,511,299,035,
252,054,145,504,862,622,449,152,438,884,321,190,956,674,341,681,921,150,581,
131,966,614,041,447,051,468,529,104,005,037,726,910,760,787,028,965,413,638,
146,222,498,338,105,370,693,669,201,006,733,145,337,983,404,298,875,364,412,
317,114,993,975,224,564,585,080,338,652,022,984,759,407,433,121,250,621,983,
749,876,873,391,845,910,326,308,066,870,688,830,691,415,853,398,103,436,166,
278,443,338,192,568,770,625,658,619,206,636,918,592,318,578,909,035,759,336,
558,909,529,305,621,169,363,057,599,113,085,424,772,422,144,651,207,284,217,
838,363,854,710,941,219,153,636,329,819,541,187,592,646,424,879,355,949,848,
014,570,127,840,945,850,079,006,637,809,831,384,188,615,699,487,054,291,430,
635,660,060,430,433,394,198,039,297,162,033,611,508,649,259,966,942,081,421,
427,322,246,524,743,829,218,107,359,489,457,550,163,392,957,121,230,631,436,
870,896,091,137,203,825,048,141,209,475,038,504,081,452,244,815,115,009,017,
791,900,501,972,870,983,273,913,683,401,370,855,450,600,737,680,375,169,922,
123,292,908,069,438,373,445,487,557,249,492,870,327,822,503,048,830,920,565,
467,237,080,588,062,851,849,912,630,432,708,264,711,258,434,029,587,608,942,
106,428,410,710,305,668,176,400,991,173,636,344,271,225,061,450,183,478,474,
511,773,633,354,122,618,076,571,409,029,803,699,517,435,331,513,614,757,746,
004,603,016,498,134,391,658,095,663,929,976,752,180,667,121,120,697,862,452,
212,771,610,505,470,877,413,945,083,220,429,282,710,233,824,207,166,209,049,
364,224,304,693,654,752,354,581,890,994,809,868,698,375,151,547,025,794,990,
023,639,401,790,213,549,259,925,378,836,666,611,320,596,055,777,648,961,406,
846,928,315,956,398,628,070,746,593,936,646,808,693,034,534,155,925,878,160,
272,537,425,048,842,187,304,890,785,340,398,382,918,428,480,565,976,751,153,
622,353,434,020,753,173,701,938,539,059,830,923,710,808,039,676,574,358,663,
774,818,566,436,611,853,092,585,298,809,617,047,146,728,605,898,288,834,767,
799,409,335,312,900,683,498,966,256,861,973,451,962,528,326,953,222,081,655,
667,970,981,220,187,298,041,011,011,560,841,460,878,649,876,628,004,822,885,
128,809,910,581,058,911,501,716,188,076,485,977,730,349,241,875,968,891,830,
029,123,031,961,730,446,976,777,864,829,510,743,421,720,372,309,956,272,834,
792,595,631,790,158,110,484,574,909,025,942,238,591,574,468,564,491,748,686,
814,648,334,202,537,395,884,651,112,371,524,612,769,923,594,544,013,094,108,
162,224,604,343,770,736,855,520,516,227,507,604,768,814,663,068,186,808,467,
267,165,462,675,451,248,153,958,272,342,900,526,738,965,232,549,385,672,035,
515,962,919,942,198,901,003,733,191,183,905,714,522,586,328,662,599,667,349,
852,697,869,345,022,653,533,852,643,139,186,508,362,378,694,453,278,006,364,
356,821,956,823,143,111,103,160,842,399,913,053,284,449,418,972,764,416,118,
117,445,773,651,465,675,187,126,842,159,594,656,242,700,159,914,993,319,260,
291,328,341,183,544,823,365,777,380,302,559,295,829,130,344,851,515,386,501,
390,703,393,264,331,108,243,950,149,994,358,738,293,798,205,415,514,074,900,
016,194,218,693,151,475,941,654,524,297,786,428,526,510,866,844,949,267,126,
080,364,794,081,133,208,620,293,688,003,216,854,364,443,922,089,742,168,886,
671,305,050,508,880,025,141,498,907,418,439,344,547,646,269,658,195,426,567,
609,148,220,687,677,903,841,244,624,528,482,626,736,813,745,673,669,581,542,
814,116,341,110,722,502,066,076,066,476,955,657,404,637,516,032,510,104,756,
331,765,349,331,900,107,581,923,294,444,200,878,072,825,293,333,132,420,679,
081,823,813,758,120,755,482,093,650,206,471,186,196,484,304,635,493,219,800,
943,823,840,098,748,866,157,927,124,448,119,288,782,160,690,197,422,698,565,
997,877,064,594,497,781,280,991,262,413,004,727,645,640,199,300,564,532,428,
960,210,392,166,044,130,268,559,298,604,660,992,859,347,719,455,755,825,555,
438,684,868,518,109,426,874,075,874,007,749,404,279,941,301,833,275,754,045,
573,453,660,759,316,627,060,139,600,986,836,549,257,787,293,019,957,732,661,
294,534,635,967,042,952,432,665,870,594,161,399,277,285,428,417,670,289,932,
811,411,452,461,990,560,376,882,473,023,254,746,431,309,193,892,969,970,946,
590,439,409,491,164,194,678,449,287,080,010,808,468,968,752,674,653,763,395,
587,805,245,646,265,283,692,522,376,889,797,858,238,701,812,787,546,969,322,
172,820,383,907,184,676,317,948,503,428,775,085,483,802,856,326,575,907,120,
480,247,292,153,508,583,383,708,072,847,407,211,859,773,790,388,939,878,165,
818,927,543,209,559,319,183,955,812,740,463,151,534,100,947,862,991,708,193,
141,120,058,392,829,605,830,574,221,989,203,658,769,594,603,253,815,404,968,
814,264,698,622,963,124,452,129,251,669,717,091,420,214,280,798,400,674,150,
847,135,889,893,613,584,108,692,268,346,026,096,723,022,588,832,675,707,767,
901,134,765,610,852,107,117,765,426,369,452,074,815,162,303,015,689,042,590,
942,114,293,311,605,743,522,802,211,841,998,996,314,157,282,311,944,019,656,
499,847,334,719,197,949,039,061,403,819,303,397,957,926,029,808,673,493,650,
774,299,696,762,781,209,177,350,235,398,062,766,270,453,828,763,352,924,694,
265,019,435,763,621,798,741,424,935,366,774,685,292,082,851,519,734,542,508,
610,922,421,334,981,030,004,005,327,705,335,866,705,613,027,835,439,323,377,
972,451,858,053,388,266,121,028,749,038,590,084,768,527,759,819,983,708,833,
592,630,311,082,423,491,986,994,549,257,689,488,844,730,742,195,427,319,889,
174,220,590,079,802,850,273,250,708,661,673,955,009,282,591,659,323,211,723,
758,196,409,994,887,627,589,373,129,706,765,899,833,501,406,676,265,489,908,
686,410,498,037,473,975,332,014,880,406,109,298,556,306,690,569,301,086,394,
777,290,802,341,308,781,598,824,487,064,289,401,116,667,036,912,906,328,764,
168,605,801,059,786,129,265,023,433,081,893,080,811,068,787,613,208,112,135,
874,562,732,773,367,228,928,607,984,732,281,284,303,153,461,424,696,168,506,
367,211,342,604,888,739,165,017,016,695,806,196,211,909,971,659,637,330,794,
825,762,979,069,186,554,191,569,556,926,857,159,598,301,588,047,200,649,435,
778,642,926,356,149,460,328,641,279,296,341,937,248,218,560,983,414,483,145,
453,393,169,535,133,270,380,528,645,765,268,545,181,328,889,538,250,999,631,
903,535,489,299,289,536,010,392,751,693,049,588,207,072,560,309,146,006,191,
433,732,093,040,957,727,451,204,654,983,338,666,378,254,481,064,192,419,149,
562,040,771,276,948,873,864,674,804,688,508,260,441,505,239,208,216,625,830,
333,445,630,786,101,827,971,396,392,449,037,390,683,439,337,747,193,448,454,
756,761,423,547,841,910,954,846,128,559,220,403,221,318,633,880,695,776,098,
721,295,863,688,738,462,378,045,551,641,331,229,489,630,897,769,684,419,776,
032,147,191,623,804,935,609,126,943,048,379,242,198,374,896,073,554,933,455,
469,672,357,882,465,372,358,787,333,619,904,110,572,550,694,770,451,731,282,
010,386,530,099,212,664,120,714,723,307,753,389,520,133,528,600,448,064,666,
038,449,271,394,681,202,601,787,560,652,404,179,653,491,754,780,779,928,051,
758,854,092,702,006,180,115,543,325,382,981,887,664,218,415,273,309,984,254,
543,527,221,335,826,726,953,581,846,041,243,366,222,539,985,642,805,422,394,
782,765,124,502,492,883,856,024,388,962,901,117,597,734,323,925,269,769,053,
729,444,493,157,649,968,711,139,473,833,926,669,247,036,533,253,458,607,317,
907,453,104,574,289,624,447,970,627,855,738,722,511,659,400,477,305,174,742,
298,126,809,337,589,390,997,487,147,091,868,008,080,404,924,626,080,155,414,
056,143,916,760,254,147,533,203,286,059,821,411,703,444,501,530,430,391,182,
607,165,281,048,563,276,082,209,809,075,906,910,848,230,992,406,973,034,582,
665,209,514,482,228,269,039,070,778,802,284,112,619,371,655,364,122,106,836,
863,878,780,861,775,809,831,596,877,134,607,276,845,690,221,312,672,303,654,
691,262,511,237,619,098,938,657,369,573,077,581,263,636,780,592,740,351,248,
415,077,253,389,810,634,918,142,684,367,346,585,392,962,902,384,662,593,497,
842,719,586,282,861,941,520,558,094,986,045,379,423,603,464,795,739,148,498,
481,999,207,696,432,032,957,650,839,751,711,404,393,241,109,162,154,481,743,
953,171,043,629,523,721,402,508,531,686,736,467,939,163,652,572,663,923,564,
178,004,592,015,028,963,358,890,186,207,906,009,065,968,617,341,232,046,417,
983,205,951,886,102,435,049,561,781,043,243,882,880,005,396,878,131,953,177,
369,976,212,454,978,969,279,689,840,728,370,840,312,556,961,240,805,172,647,
798,004,355,264,940,032,110,330,510,594,950,160,027,984,200,347,074,622,442,
219,142,493,629,426,126,453,421,769,692,148,297,652,705,996,873,739,201,767,
687,589,101,627,900,813,109,041,167,487,500,699,080,556,907,886,730,902,762,
246,916,419,982,273,434,295,855,002,494,859,560,528,792,014,245,253,381,817,
622,549,870,817,401,838,630,647,738,145,079,439,177,534,418,646,934,212,758,
646,837,319,160,067,147,693,326,691,692,516,038,192,022,480,379,421,759,497,
716,749,664,302,098,427,696,096,449,559,374,610,874,626,748,867,297,162,011,
163,955,733,201,325,974,318,694,455,342,139,783,447,528,199,832,362,592,867,
147,988,211,393,168,941,608,504,278,881,533,453,304,848,804,250,141,818,917,
800,580,497,225,121,150,379,950,482,644,435,280,094,150,500,868,378,120,181,
841,700,585,720,236,756,205,303,032,154,639,887,732,796,588,706,374,126,159,
773,428,305,910,268,291,165,667,975,873,702,858,323,753,941,346,154,993,656,
921,359,800,651,598,798,653,576,772,385,281,560,965,578,579,395,752,655,014,
079,625,821,602,666,146,567,148,900,276,866,027,182,658,255,670,633,045,951,
673,064,815,751,410,183,912,533,591,037,948,419,955,683,425,142,487,481,375,
476,696,682,122,107,177,450,831,844,792,299,018,211,523,230,608,050,270,619,
633,504,091,406,848,146,938,058,869,493,106,422,601,048,424,875,446,437,671,
753,550,539,286,127,609,824,321,925,730,097,022,166,918,694,814,044,375,402,
904,273,645,703,756,636,463,318,020,687,668,460,153,017,054,049,675,166,342,
428,014,465,170,890,708,187,967,406,288,104,914,331,596,129,639,400,503,438,
069,314,049,280,419,866,163,158,473,557,963,635,431,662,527,449,871,766,898,
411,979,261,453,145,031,755,403,128,792,596,561,300,708,421,153,322,135,414,
983,246,022,567,166,620,011,053,931,367,731,941,925,834,663,549,811,473,849,
166,586,901,615,356,244,660,328,725,400,746,412,853,452,259,992,590,443,148,
799,373,593,935,077,534,825,412,431,225,407,225,837,374,653,310,938,172,536,
987,557,476,544,955,060,344,162,152,232,898,599,753,921,443,336,826,560,289,
902,467,661,160,248,097,007,201,539,995,692,944,454,837,932,191,878,896,488,
630,468,699,381,797,647,728,246,460,086,215,724,826,994,763,823,073,901,058,
539,403,780,087,526,855,164,084,275,104,408,941,415,746,350,047,685,453,784,
559,890,226,846,403,837,852,260,046,280,755,412,178,309,314,766,330,794,728,
924,431,342,511,886,962,199,010,882,485,000,971,782,965,486,106,499,135,708,
396,880,357,013,394,062,390,580,838,360,369,911,253,824,169,040,446,852,286,
631,662,838,333,174,451,434,020,113,316,662,581,997,349,957,566,844,154,553,
204,566,223,200,511,456,097,994,731,827,023,781,298,397,523,635,400,796,812,
908,350,069,728,084,804,346,216,788,321,800,407,366,696,488,901,779,687,270,
982,899,609,278,888,621,439,001,290,851,605,076,336,877,068,065,908,961,400,
001,953,162,646,665,880,557,296,238,070,659,806,651,561,791,585,590,468,662,
925,434,543,981,918,295,603,241,226,118,300,381,779,904,045,045,217,983,223,
500,810,894,068,090,286,430,401,526,203,582,110,079,071,462,962,476,607,487,
966,591,135,312,366,825,611,661,479,374,225,727,097,343,317,631,104,373,253,
088,160,864,268,496,415,707,663,959,350,346,820,216,598,433,347,491,235,543,
998,840,366,547,384,595,960,383,297,362,280,994,492,693,475,087,994,222,912,
508,066,191,267,559,204,132,651,511,991,933,807,514,509,315,352,532,640,887,
461,696,937,684,173,873,221,675,694,301,357,099,489,014,412,800,156,131,833,
414,812,750,692,926,900,724,600,173,836,149,134,867,700,050,370,660,535,898,
213,822,662,408,622,347,653,961,564,885,107,451,815,028,304,676,565,737,793,
694,972,132,030,123,914,723,536,280,642,886,229,507,121,131,081,133,259,467,
601,235,645,570,936,076,024,313,068,235,447,174,129,730,205,042,960,563,382,
877,323,182,280,593,613,713,199,874,554,706,267,851,759,053,151,718,411,478,
678,270,349,736,435,424,551,034,309,781,808,494,896,722,634,517,024,743,078,
830,558,340,723,334,786,789,544,792,978,647,914,156,936,622,836,892,443,684,
409,037,243,299,507,711,518,153,119,409,498,782,845,358,894,678,197,517,041,
955,990,525,578,202,651,789,283,232,301,575,680,391,765,814,837,547,624,319,
094,191,561,090,554,814,383,165,704,518,920,573,030,782,154,343,515,702,559,
596,465,890,196,275,580,033,446,235,398,782,760,717,713,413,182,325,918,978,
031,094,777,435,928,797,898,144,821,578,930,892,081,693,061,094,834,042,011,
505,624,675,125,168,663,997,259,107,344,606,254,961,924,846,459,057,053,166,
936,171,934,768,897,182,647,038,420,796,091,733,631,309,004,545,172,419,039,
293,397,305,834,042,980,971,376,895,884,283,326,566,215,335,007,233,878,714,
739,575,582,290,711,105,862,205,435,391,313,386,947,230,641,368,285,702,073,
067,567,368,895,799,113,911,841,609,043,212,801,204,779,929,192,856,508,304,
034,172,284,053,993,693,891,491,253,599,580,254,402,257,338,424,878,009,232,
735,004,932,904,325,752,980,694,805,148,071,789,038,282,257,459,460,991,860,
499,143,208,720,036,130,569,672,860,546,364,586,868,903,742,347,642,936,122,
816,190,096,402,917,827,751,143,878,740,482,554,736,891,028,986,131,122,019,
316,928,496,674,905,227,608,239,167,170,971,111,360,902,388,389,388,027,481,
219,802,095,099,239,384,663,204,381,552,292,290,163,619,775,975,068,210,595,
811,706,396,102,267,366,794,859,634,335,006,426,663,011,714,188,752,021,136,
015,750,159,738,214,706,961,096,266,318,972,565,779,498,408,268,170,885,460,
180,825,040,962,821,635,582,653,399,550,632,588,245,283,295,012,440,685,474,
441,120,348,398,088,332,399,437,885,894,270,622,908,296,700,093,898,170,010,
544,276,901,262,272,165,396,440,449,153,380,214,663,177,783,438,225,709,992,
333,169,593,938,041,691,431,694,030,920,712,076,671,717,459,385,858,268,408,
525,483,413,952,497,945,721,461,593,869,447,630,300,547,576,735,179,247,095,
065,014,020,367,956,278,012,281,483,676,473,830,359,348,716,242,489,325,352,
875,719,612,305,087,090,564,573,272,904,376,468,248,462,400,291,294,553,204,
445,984,540,242,430,578,253,189,974,161,089,314,343,774,894,248,625,948,972,
073,322,003,762,120,666,513,613,440,881,688,170,705,409,610,878,518,213,924,
043,196,188,953,294,032,360,984,256,864,677,485,915,535,540,721,650,210,586,
308,206,891,184,023,457,028,653,948,776,494,198,197,667,133,132,402,121,665,
517,870,484,312,994,372,767,439,975,500,757,266,846,391,063,631,612,537,277,
595,230,271,910,636,879,932,439,200,812,322,109,868,421,270,664,933,437,418,
208,719,651,674,802,050,306,070,297,575,426,303,891,978,387,923,283,154,882,
356,556,067,514,227,210,052,537,406,829,580,626,776,434,626,112,818,293,449,
234,045,505,988,832,302,353,472,904,157,851,272,873,591,492,022,428,934,605,
100,858,458,311,745,917,913,307,367,562,286,025,922,977,140,825,892,158,612,
716,848,045,250,011,649,308,077,036,183,770,039,045,884,513,873,799,590,601,
082,013,846,013,843,945,092,576,223,566,798,206,615,050,549,041,542,306,787,
997,402,249,769,941,444,583,358,174,256,572,835,583,361,075,027,511,343,265,
908,068,762,128,694,684,655,283,402,752,017,483,332,742,393,998,467,676,804,
838,356,605,155,063,599,405,152,909,937,368,044,498,673,948,177,662,281,869,
258,313,229,807,969,362,453,887,497,618,566,865,074,661,632,874,812,366,160,
055,307,413,257,563,427,976,639,656,000,608,133,909,149,277,474,607,190,583,
149,127,850,923,353,572,059,080,521,508,839,800,927,621,116,232,147,707,915,
642,706,950,451,917,421,637,093,639,225,446,710,770,770,374,835,791,852,864,
419,920,518,469,195,946,382,925,638,665,796,113,184,382,093,290,174,394,034,
595,093,508,999,412,009,622,695,432,666,128,891,345,936,422,677,578,403,990,
191,737,501,239,108,654,602,204,141,413,657,440,202,981,535,555,811,073,617,
640,878,920,927,314,133,052,486,811,703,537,953,674,426,758,592,429,494,215,
598,174,830,903,490,269,612,129,906,327,088,515,444,679,133,178,136,907,250,
455,376,011,468,561,218,581,814,446,211,459,659,228,940,182,572,459,659,551,
946,823,190,069,293,725,031,338,943,354,563,773,443,660,807,528,082,763,414,
993,201,750,314,974,754,529,089,535,375,987,397,900,682,574,430,864,410,658,
432,165,577,583,177,163,834,373,644,735,910,019,160,844,104,097,723,662,874,
429,119,430,048,499,234,115,888,119,867,475,349,895,949,162,576,850,807,769,
337,907,572,084,055,750,007,943,933,666,884,087,737,570,648,456,908,504,926,
701,976,635,888,226,472,791,470,100,048,253,461,093,962,546,381,945,096,871,
534,134,468,818,381,641,746,025,448,523,874,330,004,373,727,662,285,988,287,
931,532,181,763,547,867,744,640,134,228,543,047,355,301,596,947,933,876,106,
984,675,039,763,887,051,231,598,941,496,996,401,013,169,964,137,157,120,445,
896,364,587,555,890,475,538,443,917,625,138,723,330,038,601,025,058,847,756,
786,642,162,217,707,138,928,785,355,694,000,510,666,523,697,187,706,816,374,
240,440,808,810,265,447,051,374,379,481,606,303,992,909,623,036,768,309,699,
071,047,401,177,333,044,336,660,847,055,612,454,180,480,962,994,406,907,877,
147,587,931,535,518,914,285,877,824,836,382,591,155,253,953,326,488,834,976,
332,799,754,021,097,396,796,326,591,180,765,283,967,456,538,644,933,981,323,
740,754,342,965,233,329,376,216,122,468,373,552,497,597,682,002,461,136,335,
450,515,514,995,196,450,532,738,989,918,139,948,082,356,565,129,734,878,600,
095,068,514,738,731,771,567,048,151,241,711,513,782,961,124,050,518,967,971,
727,677,345,268,972,231,774,950,629,148,133,393,693,781,307,234,257,385,729,
183,210,144,922,490,933,672,277,500,420,379,650,854,718,994,470,456,198,946,
656,727,107,960,376,123,999,179,727,127,364,320,598,583,713,627,784,828,263,
639,003,718,216,417,561,300,251,621,755,642,903,118,402,522,365,732,035,208,
399,018,181,527,419,460,589,896,978,524,348,199,525,648,232,905,865,897,608,
853,919,761,327,025,191,064,119,710,317,521,888,035,429,664,741,723,061,003,
564,453,612,965,649,265,728,858,688,837,466,491,214,272,600,312,794,164,771,
236,038,397,740,985,794,012,097,628,633,958,181,370,371,872,413,350,861,806,
378,612,799,883,897,374,059,271,591,461,795,602,183,780,637,118,645,733,424,
369,045,326,879,396,819,762,779,518,139,170,519,753,302,794,448,773,559,624,
087,236,876,594,273,861,220,706,575,398,098,055,984,838,684,636,604,490,796,
488,415,994,125,611,877,246,988,895,782,948,266,479,250,006,262,335,599,871,
412,641,373,495,740,625,461,933,695,531,420,069,165,977,138,304,220,998,865,
262,563,412,240,717,875,395,980,107,334,905,121,396,896,589,040,579,905,510,
214,989,308,979,348,764,386,334,331,080,935,870,942,181,232,936,213,961,342,
113,442,396,592,666,065,305,902,310,962,437,092,670,920,833,303,419,759,280,
954,743,713,689,230,097,028,922,905,177,694,574,558,489,484,037,415,647,662,
906,856,046,180,944,893,046,119,116,217,007,398,515,205,198,636,540,645,659,
663,751,332,807,752,313,993,571,925,616,815,268,169,780,235,149,472,750,131,
788,936,521,089,609,655,939,551,478,293,595,154,493,154,131,639,261,689,603,
213,536,436,110,286,997,064,823,848,405,747,814,195,262,733,067,610,902,753,
604,543,728,339,893,997,194,609,187,445,541,798,096,756,464,795,296,140,740,
307,875,306,114,577,593,241,381,733,489,186,436,953,678,102,198,398,814,426,
944,152,105,770,367,600,077,984,542,475,177,893,945,024,416,266,601,635,109,
849,491,236,771,131,857,452,842,445,457,766,199,800,571,162,074,653,458,163,
003,822,742,163,991,337,709,644,588,651,534,179,193,664,019,830,994,725,560,
386,818,659,764,332,096,866,613,437,081,287,889,973,624,448,042,337,580,911,
697,019,610,347,504,859,093,060,638,628,306,189,525,278,659,239,985,620,025,
718,180,280,334,037,468,764,462,462,495,681,675,806,706,321,879,045,106,954,
662,989,294,673,168,647,663,267,494,509,113,440,176,705,060,258,916,854,026,
956,933,978,464,573,064,150,823,919,149,441,034,665,360,788,842,737,594,308,
877,044,098,008,083,693,590,240,675,224,152,935,409,974,148,537,941,828,640,
180,163,926,703,929,983,048,984,673,950,052,736,042,191,080,840,676,213,294,
030,697,390,088,461,605,724,979,991,268,765,208,916,947,910,251,497,506,587,
415,880,458,152,594,056,065,671,891,019,902,027,864,349,235,515,100,070,700,
847,537,162,312,541,793,937,484,702,687,244,257,657,117,532,534,204,419,966,
596,414,685,365,098,852,559,559,783,951,329,167,161,253,102,187,965,799,982,
569,106,939,695,966,761,495,555,175,906,324,108,473,309,375,747,039,056,404,
002,941,337,998,485,998,381,873,578,405,316,818,955,455,013,350,296,428,268,
506,356,251,783,855,114,345,857,214,858,412,955,584,657,952,674,800,503,963,
021,886,148,471,369,944,294,059,324,022,982,766,196,284,337,997,432,862,660,
545,130,159,880,683,367,626,232,792,173,761,203,710,633,100,109,405,524,317,
319,226,001,007,329,561,763,016,160,687,357,259,791,018,102,345,151,013,545,
881,584,372,545,994,754,487,447,706,988,329,235,906,661,759,464,002,921,839,
453,504,687,177,297,022,229,001,255,655,965,646,442,447,555,966,641,352,035,
260,917,419,565,590,191,825,284,599,225,416,937,704,060,675,357,404,367,239,
242,521,093,502,987,731,511,890,353,525,863,633,234,514,561,887,899,728,464,
800,064,491,638,392,471,099,896,449,282,354,886,944,105,159,559,673,721,906,
766,462,996,161,162,657,346,781,358,011,368,594,600,308,981,073,660,020,520,
540,740,157,949,650,077,408,375,369,844,349,532,689,182,371,926,443,665,754,
313,506,287,504,497,729,199,193,045,430,516,967,386,380,762,481,591,513,384,
735,238,941,427,147,519,830,264,397,555,121,917,611,191,505,722,126,906,304,
502,858,491,730,527,545,767,893,305,620,054,884,733,544,773,510,169,915,689,
311,917,200,308,546,651,693,317,247,536,182,935,313,353,646,296,895,942,569,
171,956,752,718,611,483,673,574,116,961,780,828,139,177,381,392,697,075,887,
576,636,392,162,750,814,215,320,308,266,306,753,139,081,472,306,337,252,284,
937,048,394,705,398,615,645,029,162,231,889,522,377,301,850,584,583,801,435,
352,885,060,379,327,487,236,160,874,474,482,244,310,530,083,141,882,364,273,
864,505,137,837,359,222,254,892,759,648,156,688,561,571,660,129,137,251,969,
916,066,674,168,067,111,552,865,095,621,070,997,367,673,625,115,646,924,316,
153,413,071,015,462,228,383,295,104,204,945,895,061,924,352,007,728,398,610,
213,867,675,061,207,769,786,793,266,888,280,201,438,483,333,507,705,529,516,
745,710,641,962,310,694,927,853,455,969,365,941,057,183,529,288,605,371,418,
476,029,365,513,471,878,365,006,709,738,264,913,427,261,067,230,893,653,563,
588,612,113,523,659,741,775,576,533,083,957,492,895,569,872,441,493,979,586,
566,869,061,988,038,003,614,753,956,733,501,875,117,848,849,038,008,313,749,
375,364,470,039,509,787,128,018,570,770,253,194,930,646,694,525,769,442,623,
381,897,183,951,806,725,265,476,524,401,481,715,938,006,365,713,304,839,869,
207,340,850,433,850,265,380,705,013,040,120,327,532,439,329,582,159,591,251,
866,492,161,420,545,164,845,279,033,816,682,081,347,648,878,332,467,663,251,
616,589,202,294,743,190,186,930,490,162,584,678,985,759,738,233,573,088,784,
185,515,466,539,311,857,032,772,062,439,225,105,580,914,945,417,604,658,552,
030,645,885,622,577,081,063,851,470,859,919,443,091,387,430,981,269,438,695,
190,467,944,327,033,927,513,349,147,187,309,087,951,808,281,428,486,089,884,
766,341,185,139,192,203,947,721,997,084,013,859,614,950,476,688,428,712,084,
411,744,259,958,103,012,157,395,131,173,467,192,065,386,835,039,596,425,078,
832,221,490,043,667,743,997,008,921,277,840,532,206,980,843,841,939,039,651,
416,816,019,693,996,520,627,105,610,962,370,808,053,010,003,008,712,831,626,
522,226,946,777,443,006,001,330,080,065,816,425,970,382,868,777,184,600,899,
770,470,258,839,979,502,771,549,242,369,154,203,788,231,383,254,893,288,874,
196,605,257,892,017,981,732,695,692,481,515,904,270,086,568,093,854,833,038,
466,618,695,235,310,055,302,884,354,853,768,524,133,452,733,677,605,043,541,
021,756,912,989,534,881,485,036,194,787,492,631,879,652,274,728,389,578,815,
313,596,131,079,138,190,839,945,832,308,792,741,873,184,709,068,688,874,634,
716,757,774,246,026,407,719,943,152,372,965,157,616,771,351,407,912,321,250,
040,779,541,504,231,148,528,716,652,800,481,318,396,497,536,844,658,761,473,
602,820,591,579,574,236,516,990,861,159,497,533,118,719,801,080,181,452,318,
671,247,727,242,127,722,713,729,373,749,132,753,654,864,370,414,524,232,859,
820,556,124,063,863,038,769,272,962,550,086,123,777,950,603,643,416,782,206,
031,801,180,257,252,053,022,352,133,526,164,467,811,920,057,867,728,301,137,
824,040,635,730,765,236,237,763,772,710,571,287,218,584,890,505,190,401,578,
100,269,074,925,884,428,067,131,073,335,959,621,775,665,303,655,120,224,034,
095,666,059,524,638,853,009,245,555,765,920,716,229,550,281,814,075,724,370,
571,797,020,762,893,952,561,675,149,061,807,775,719,225,846,651,586,639,032,
616,503,917,088,091,317,371,518,512,096,218,590,035,088,895,132,956,747,002,
724,868,522,713,095,538,708,049,928,202,904,984,770,266,402,069,516,782,660,
512,425,878,057,038,076,853,589,054,291,006,872,765,548,340,042,181,639,671,
797,573,429,066,981,479,677,156,898,669,213,422,897,605,918,885,142,109,924,
303,552,774,893,520,363,375,142,862,404,597,864,660,754,221,261,737,152,964,
980,226,898,749,403,416,735,595,413,479,564,378,946,481,787,021,873,082,621,
870,391,597,891,482,249,669,138,789,157,282,462,429,871,212,223,331,052,907,
893,807,364,261,389,049,250,523,006,447,837,020,809,657,840,312,994,799,240,
057,416,241,846,112,976,140,325,103,953,237,065,494,766,592,874,211,087,198,
067,406,179,301,042,763,472,601,529,049,528,528,206,113,872,803,431,284,281,
902,374,140,589,205,523,518,649,867,007,778,396,369,983,707,793,295,933,127,
493,038,914,756,427,481,108,847,959,688,734,943,303,352,775,608,686,548,713,
641,030,326,251,739,495,746,542,465,568,001,838,885,875,918,303,423,409,682,
339,618,590,139,256,663,036,908,164,240,576,115,453,857,498,728,191,783,106,
758,585,629,972,097,396,213,211,425,337,610,635,330,781,337,555,526,322,252,
763,204,610,879,876,583,319,459,568,544,273,782,458,150,020,684,294,134,257,
214,519,902,390,583,394,404,335,364,782,320,092,166,692,269,647,173,045,364,
909,177,624,037,425,714,214,535,802,464,455,127,005,367,911,210,645,742,584,
680,024,509,695,437,258,173,729,985,421,398,294,550,734,880,674,806,799,138,
690,274,030,757,913,846,923,954,490,408,523,823,137,247,125,283,788,395,415,
670,754,097,157,624,434,832,868,486,594,712,743,937,264,900,156,163,370,114,
513,135,272,301,588,355,480,561,465,911,976,755,274,589,391,843,273,833,343,
701,952,133,494,496,195,954,838,854,049,568,232,521,636,043,025,541,954,969,
991,295,014,264,570,252,836,306,011,210,759,010,483,622,471,188,472,697,499,
673,490,119,744,023,121,487,468,485,294,119,621,830,706,640,742,513,806,063,
321,794,269,090,991,579,927,692,618,198,076,331,634,842,465,819,703,535,818,
234,869,580,547,665,049,528,454,053,674,234,132,670,636,638,646,685,581,434,
710,298,475,268,110,147,655,907,608,993,266,403,288,625,791,663,922,755,090,
604,946,227,709,954,881,848,262,940,460,909,656,135,587,012,657,937,226,696,
611,375,519,981,362,271,384,807,076,698,732,617,349,034,029,487,863,629,596,
701,007,039,884,079,467,717,129,439,740,240,161,541,645,992,669,448,160,309,
278,953,779,914,744,339,460,069,171,072,667,302,876,948,154,355,150,157,515,
391,626,778,327,316,348,797,313,091,049,974,603,819,407,192,333,584,058,955,
905,161,459,740,469,081,307,337,245,648,361,202,269,171,380,100,026,377,554,
623,252,336,111,182,663,606,782,094,896,245,528,118,081,069,138,498,871,582,
686,739,827,201,935,866,141,136,718,214,109,784,141,966,911,832,556,606,854,
817,770,263,539,498,191,327,499,470,930,520,189,211,674,241,092,098,071,212,
002,332,478,865,274,370,571,703,637,294,263,166,246,281,070,459,857,647,669,
598,362,881,686,371,928,827,759,769,908,936,474,058,560,153,930,891,710,980,
059,069,497,022,026,299,500,179,866,190,511,473,588,748,810,877,444,285,351,
791,482,103,539,081,341,198,539,406,196,894,475,252,122,002,342,253,567,419,
417,550,680,211,783,734,052,716,956,259,914,775,931,467,394,960,965,574,900,
961,841,064,145,550,909,164,395,177,788,582,469,132,674,091,200,621,604,211,
096,730,654,114,467,167,736,801,961,887,286,950,817,937,826,895,461,505,878,
482,692,593,914,888,384,943,629,929,124,070,572,973,413,571,400,788,062,991,
872,008,955,384,224,231,536,120,063,327,067,611,667,764,602,771,426,275,176,
855,715,547,974,793,334,418,780,797,227,291,347,952,091,326,603,532,301,158,
398,086,669,224,836,037,930,975,287,427,356,216,285,478,143,843,455,677,722,
328,474,613,963,073,819,860,665,581,650,154,561,803,586,532,096,598,170,744,
016,035,601,203,811,333,187,705,280,606,589,245,708,197,642,246,191,424,636,
325,506,939,666,395,351,409,309,942,251,548,012,061,168,579,693,427,825,357,
632,938,150,785,618,012,899,327,200,049,122,168,352,479,556,121,455,781,849,
470,563,820,402,922,583,951,151,614,536,796,396,262,432,127,769,848,613,328,
423,425,629,398,698,495,055,484,467,913,632,435,293,383,493,417,256,639,882,
540,266,278,725,712,995,602,843,737,539,306,688,839,757,431,604,365,498,826,
335,060,714,236,684,555,879,010,109,487,070,021,387,623,584,727,019,380,268,
422,333,198,904,095,621,464,122,852,523,923,885,105,783,580,211,401,628,865,
257,445,048,112,858,806,812,641,712,636,132,823,922,104,928,897,322,484,235,
279,165,775,342,330,381,654,291,389,898,595,187,670,586,957,718,772,849,698,
227,158,959,461,087,357,973,894,095,172,968,928,706,219,422,202,134,191,783,
142,948,532,023,462,757,793,530,888,351,200,740,632,183,777,015,308,377,381,
569,222,388,762,889,620,547,262,996,131,789,372,114,439,143,332,260,616,316,
837,755,433,089,262,511,992,722,772,071,842,108,102,503,435,388,554,755,687,
591,493,382,987,972,417,977,860,083,231,013,706,724,508,668,035,546,833,801,
023,618,368,013,847,169,594,638,524,108,021,730,791,046,581,491,088,873,748,
739,671,922,184,316,818,862,690,121,165,602,643,842,866,687,390,661,370,721,
146,580,699,958,217,748,557,347,024,734,276,381,413,453,241,822,138,037,490,
960,989,514,387,358,720,903,036,740,683,266,154,837,068,238,571,467,420,238,
231,763,852,247,184,782,301,738,499,721,347,272,223,446,037,550,119,382,455,
350,310,100,125,692,458,805,083,012,919,227,113,491,348,305,242,055,977,177,
100,441,511,506,380,136,723,872,710,940,024,223,656,822,974,529,443,671,719,
877,648,900,136,118,243,638,450,012,357,679,022,101,695,856,441,844,180,297,
043,188,275,211,949,734,625,351,678,215,919,677,771,896,078,793,673,104,065,
051,966,457,545,723,683,353,562,672,564,580,664,472,195,656,066,210,908,787,
243,337,888,250,672,743,577,413,009,207,087,727,532,349,240,233,819,854,403,
038,540,404,311,747,308,275,185,545,663,369,465,921,810,287,427,741,110,508,
656,393,139,279,701,063,630,206,264,098,040,839,894,342,028,575,407,959,274,
302,777,454,891,502,917,831,742,919,755,124,771,684,986,072,562,760,381,968,
245,796,586,646,002,083,518,790,611,460,861,695,121,060,597,377,060,920,546,
161,850,834,034,326,581,152,805,141,897,523,872,020,841,390,510,576,708,808,
271,766,674,498,954,132,876,131,872,942,590,426,421,119,112,564,963,586,965,
394,164,717,895,307,737,962,829,932,734,246,219,392,345,392,844,171,752,621,
519,294,936,030,961,548,778,553,296,399,448,284,322,780,033,464,854,880,457,
165,930,374,643,189,625,025,004,797,101,161,562,813,152,454,677,847,231,763,
726,927,693,157,662,550,788,165,229,921,601,884,403,749,212,663,182,656,967,
426,807,466,561,880,429,286,790,797,708,241,792,450,976,821,007,055,211,878,
290,489,490,700,153,363,676,406,709,619,425,410,167,595,891,627,204,434,674,
724,677,512,454,445,041,572,756,568,768,795,853,204,950,154,553,554,328,731,
828,825,570,009,948,037,933,029,473,005,481,340,388,438,876,510,703,345,443,
934,111,782,587,693,668,799,445,292,191,699,241,967,882,751,325,374,154,916,
822,663,097,747,956,983,163,112,031,426,475,397,167,977,669,961,010,612,317,
841,578,740,072,877,243,304,254,194,311,318,509,487,880,965,062,285,046,630,
688,043,300,414,815,847,981,166,664,540,783,686,744,349,203,560,513,146,037,
241,787,776,440,160,064,890,170,081,111,015,778,588,911,731,460,501,150,336,
899,141,635,363,877,631,975,905,412,348,687,297,130,293,570,802,363,850,153,
128,207,418,432,401,668,081,605,831,148,032,884,579,718,254,311,539,718,577,
154,893,251,721,181,046,428,703,339,951,389,020,887,135,705,279,882,708,706,
125,321,315,264,070,061,376,114,913,187,901,687,423,792,926,410,441,234,838,
486,733,750,241,262,985,132,291,584,354,645,887,166,554,803,978,869,982,757,
753,573,730,469,438,580,853,463,932,358,864,976,421,490,134,887,844,971,371,
081,240,921,628,764,179,976,318,336,931,057,309,822,302,633,035,544,872,004,
773,786,408,805,224,945,891,829,597,977,736,042,865,623,078,384,055,310,693,
320,336,084,662,543,976,765,314,010,015,065,864,618,032,857,634,288,225,655,
532,412,187,267,384,983,273,874,623,637,656,185,419,793,113,900,833,258,705,
129,662,225,384,721,572,565,059,968,580,362,507,178,599,876,889,152,730,336,
700,818,360,831,867,608,892,214,579,226,526,011,673,369,610,012,843,173,304,
164,875,585,021,470,725,925,736,605,247,852,718,967,229,629,424,973,218,614,
957,561,202,874,003,303,735,781,583,185,120,644,145,926,747,109,617,032,121,
475,146,706,057,939,270,823,664,213,633,402,613,957,772,303,029,845,153,150,
147,535,821,305,859,674,254,240,247,084,901,024,878,611,494,991,060,418,884,
697,928,462,862,114,385,442,335,347,464,368,643,366,013,934,464,484,781,997,
129,621,634,937,602,097,321,487,633,756,770,889,695,398,024,306,386,375,272,
023,329,386,894,686,900,579,957,882,564,329,996,095,051,041,718,106,913,418,
749,031,902,451,614,834,297,665,599,336,400,946,981,070,001,940,434,066,369,
352,833,782,565,178,948,602,256,896,987,914,437,357,815,051,868,065,907,069,
777,935,139,244,421,949,174,008,167,253,136,430,348,518,849,129,886,556,409,
586,282,981,122,255,863,295,698,044,961,308,390,624,081,697,701,908,417,049,
118,383,097,427,552,653,175,036,907,996,502,508,234,438,450,432,063,122,743,
142,195,372,989,114,448,170,655,352,007,023,352,397,944,731,460,310,949,077,
686,817,152,979,930,595,159,424,843,599,650,244,249,374,259,586,483,245,906,
546,372,162,212,495,917,153,614,149,769,998,406,202,326,008,730,808,359,025,
468,072,325,124,597,481,411,676,051,462,011,565,366,592,112,657,273,474,531,
039,343,363,883,894,547,091,892,070,648,058,628,105,217,208,384,827,659,594,
670,632,582,725,649,051,451,262,338,050,843,489,755,433,429,100,326,458,459,
512,985,417,949,903,214,120,121,484,738,196,554,941,299,346,017,880,185,558,
988,874,372,894,918,584,667,160,749,231,928,702,401,386,041,045,485,060,718,
709,775,685,175,662,606,384,437,463,016,973,232,939,995,710,563,377,632,560,
415,304,975,290,400,691,292,587,479,440,672,230,543,742,792,975,287,260,426,
182,100,552,040,372,756,525,127,122,451,548,843,444,099,892,975,110,886,669,
073,752,112,712,670,956,721,115,181,205,942,748,466,917,210,697,724,593,081,
516,079,258,087,827,631,883,745,915,461,860,333,501,916,382,751,090,814,089,
510,521,448,285,936,319,768,995,396,114,680,048,179,665,460,728,618,443,773,
508,698,724,901,913,972,756,728,021,958,544,344,516,747,233,942,981,905,721,
677,181,231,766,250,091,598,731,120,070,052,387,294,760,991,837,810,661,975,
705,636,822,381,673,199,573,706,279,988,344,646,245,942,201,972,660,966,492,
261,316,024,285,780,701,877,095,400,488,054,309,089,632,152,522,667,299,392,
520,361,523,390,383,321,046,320,752,540,263,114,252,756,383,910,605,930,222,
313,255,083,365,341,125,407,747,236,559,892,331,072,946,831,247,040,493,964,
478,911,196,321,426,886,238,813,846,912,955,879,905,715,242,889,020,886,621,
552,247,574,266,000,299,376,461,505,438,324,674,322,892,060,782,872,065,951,
258,506,243,089,838,037,487,430,361,633,036,428,291,755,888,574,028,946,053,
226,484,559,189,087,005,736,934,555,542,746,370,098,445,083,128,802,136,277,
133,539,309,634,607,916,943,422,415,050,266,944,867,494,609,638,067,202,347,
861,750,378,658,750,386,964,752,981,643,787,594,843,452,552,661,966,555,649,
243,708,481,687,480,641,812,462,629,658,108,904,357,596,841,598,588,397,376,
094,692,974,603,320,924,898,496,773,783,895,683,923,371,173,586,646,647,071,
268,854,259,062,917,353,906,750,409,104,611,102,619,546,686,999,923,790,201,
343,855,288,162,946,576,168,454,874,204,032,024,374,527,576,410,374,965,878,
399,414,968,367,603,370,664,916,919,715,124,328,146,856,108,945,221,315,401,
730,766,301,495,805,513,754,783,757,728,879,418,531,525,943,235,702,327,453,
532,038,693,338,367,028,065,077,220,334,584,945,479,531,461,264,036,940,479,
785,069,315,612,822,485,582,038,801,758,714,624,872,902,478,524,245,246,483,
533,523,624,160,946,425,470,272,203,350,430,509,872,227,756,106,679,258,182,
141,332,012,957,668,043,240,521,630,688,558,836,111,094,234,667,586,014,276,
472,663,132,035,054,184,113,040,536,729,305,702,630,633,568,942,813,891,545,
091,717,320,226,096,783,384,678,307,968,538,696,931,745,865,842,924,629,043,
383,987,452,763,741,546,039,610,800,719,612,652,645,695,889,832,859,038,076,
504,871,519,257,150,458,917,273,646,493,365,360,738,821,895,466,696,764,692,
547,484,654,705,996,559,686,321,142,934,101,041,855,663,976,524,314,270,161,
477,034,284,790,940,423,752,808,914,672,715,181,576,475,536,842,731,511,094,
903,849,244,410,602,059,238,373,128,857,111,609,183,129,069,752,172,834,859,
339,614,532,104,189,882,675,268,917,972,890,211,348,256,939,955,325,641,055,
598,385,542,700,713,048,493,832,605,539,208,111,526,065,843,419,757,437,016,
479,921,037,218,915,488,333,430,607,518,181,599,719,991,871,219,291,446,754,
118,160,010,684,574,145,695,816,813,704,406,115,223,235,331,193,264,672,964,
260,063,756,228,468,363,074,554,567,437,424,895,708,379,207,053,947,632,469,
821,305,386,986,198,201,914,663,669,733,324,584,462,245,286,528,669,678,264,
421,726,818,627,751,167,756,227,753,169,670,396,745,639,273,174,641,181,826,
841,372,214,891,607,735,990,222,527,165,687,922,586,465,682,805,193,932,908,
091,828,219,891,793,361,946,072,162,154,322,526,765,865,086,204,665,678,884,
814,045,373,849,876,583,353,529,253,924,606,398,616,030,632,436,883,445,890,
806,570,697,946,681,316,457,067,297,793,299,196,138,784,153,280,272,899,556,
375,224,990,990,386,474,292,605,371,400,443,687,955,487,890,038,089,429,437,
132,678,567,254,659,679,547,077,060,166,585,411,279,812,025,855,670,645,225,
198,565,554,997,856,255,895,755,722,404,139,867,857,339,470,058,605,793,855,
011,540,516,625,049,705,457,722,780,682,603,997,630,132,130,929,095,689,098,
973,618,968,837,864,620,715,548,466,402,508,101,516,433,066,420,146,817,773,
015,663,032,081,224,822,925,323,868,324,886,449,844,906,647,771,288,964,285,
622,656,188,824,212,536,997,624,258,404,566,685,694,897,880,472,337,872,054,
713,455,449,703,617,903,105,826,698,544,473,223,506,958,775,290,726,113,021,
684,620,511,841,687,401,391,901,898,824,644,125,096,357,685,783,877,660,587,
042,809,418,289,364,678,176,698,948,839,640,805,300,519,286,730,310,790,123,
693,183,417,763,946,184,936,273,632,927,955,373,022,530,969,452,665,420,267,
882,005,628,562,789,595,164,659,702,833,763,499,312,218,036,046,767,510,520,
430,621,963,239,820,662,618,281,265,531,343,450,925,686,312,899,657,518,918,
152,069,060,794,737,141,343,071,116,756,705,598,124,475,651,138,546,849,828,
824,771,371,685,419,128,683,493,394,904,214,638,325,434,743,152,285,170,313,
390,219,884,324,162,530,748,516,696,450,019,461,667,214,391,598,785,272,705,
010,131,383,463,385,241,241,558,905,586,709,349,183,418,661,550,570,848,202,
161,312,636,763,833,033,716,403,224,770,689,604,567,850,599,260,364,798,860,
449,823,547,138,115,789,503,645,020,121,111,627,307,522,255,541,850,864,104,
391,754,639,457,378,392,875,369,418,808,314,316,950,869,628,886,441,808,234,
747,164,145,249,640,277,786,582,874,295,058,981,820,874,348,648,718,212,747,
098,849,498,652,921,202,745,666,071,144,525,695,356,392,664,034,914,320,492,
283,296,574,522,264,961,966,469,618,513,913,167,057,415,376,977,939,833,547,
492,627,295,206,578,229,529,061,871,879,864,169,357,522,020,373,550,785,211,
240,257,023,366,101,367,869,837,592,301,491,119,411,824,332,193,308,147,966,
378,659,470,952,475,023,495,401,670,370,869,782,138,207,616,136,253,667,302,
320,482,874,774,544,732,785,993,258,218,561,024,559,481,998,911,752,932,641,
135,001,380,479,390,381,037,110,553,299,427,570,242,153,653,251,698,034,205,
400,953,397,798,381,835,975,035,262,101,748,416,623,450,004,235,786,641,588,
056,285,220,809,995,933,619,221,322,149,546,498,177,172,011,170,207,922,266,
095,311,686,620,591,163,054,094,514,636,737,958,164,506,130,323,872,103,511,
671,541,333,365,925,738,352,664,450,114,407,587,632,434,221,609,291,548,022,
683,811,350,253,762,518,137,640,757,248,583,682,575,430,303,558,480,147,332,
281,079,854,837,897,850,624,941,628,089,431,922,700,857,576,369,151,524,578,
496,832,435,971,612,369,558,245,604,858,985,714,666,910,704,791,927,042,973,
726,403,500,866,918,926,592,612,001,935,484,597,353,912,551,626,653,482,147,
892,665,576,130,222,409,518,112,442,648,566,764,584,557,798,681,289,392,887,
060,248,650,339,774,347,259,659,946,894,658,690,677,705,459,315,736,594,712,
108,678,171,751,083,942,103,335,935,212,315,443,287,761,695,562,922,575,312,
650,669,508,524,517,653,412,610,364,036,387,630,906,120,645,186,846,532,246,
780,933,353,798,773,869,801,987,819,459,113,354,182,032,453,776,980,902,494,
530,951,353,619,303,837,026,168,966,034,552,378,487,428,433,993,400,507,513,
381,714,152,268,164,236,866,820,207,251,237,215,972,290,854,146,692,102,492,
608,566,745,017,934,892,276,243,838,309,709,983,479,707,431,345,609,380,209,
410,161,905,602,187,252,296,898,047,400,442,535,163,865,065,908,848,335,762,
369,896,216,572,587,016,778,601,812,353,736,845,140,744,291,626,274,456,724,
020,338,165,529,786,652,183,684,640,400,516,650,178,544,753,015,207,616,957,
633,842,743,799,189,346,142,106,980,135,127,806,000,928,365,287,552,134,302,
496,016,393,519,964,922,118,550,379,630,665,043,494,786,673,319,595,088,600,
313,505,052,906,915,214,952,173,768,271,805,291,604,051,232,550,778,997,739,
215,421,334,519,053,954,651,391,164,011,609,469,455,215,069,171,093,351,420,
973,214,190,751,857,954,923,658,822,920,060,080,266,602,420,267,194,071,690,
475,429,986,326,918,826,672,543,583,836,208,775,110,420,009,438,978,945,753,
707,131,787,602,387,563,729,067,320,159,864,576,045,702,508,833,931,671,197,
699,693,275,945,343,510,803,608,097,923,778,787,764,116,054,565,016,011,808,
390,888,655,691,072,826,773,564,228,497,700,592,506,760,923,944,985,490,079,
336,143,389,384,061,277,670,927,715,561,308,048,417,551,748,494,702,420,539,
635,380,776,947,648,771,969,176,703,565,434,383,225,644,521,891,976,719,977,
365,742,339,016,778,108,889,040,857,686,222,302,403,588,801,012,822,444,304,
231,222,492,176,474,934,792,590,930,331,056,667,778,406,959,203,200,746,509,
798,405,229,016,378,169,124,842,210,632,505,149,608,059,840,606,526,736,086,
411,733,305,277,605,448,683,110,881,355,352,600,557,589,959,995,991,533,566,
416,343,902,961,774,649,991,216,283,817,457,016,169,393,812,757,947,550,441,
271,692,669,202,946,477,768,695,802,877,532,499,884,068,237,291,768,711,930,
504,551,078,792,697,263,418,793,063,953,050,648,209,480,955,316,419,140,162,
789,545,899,947,910,563,996,541,195,630,292,076,238,051,390,480,553,062,316,
517,574,126,909,787,282,474,329,305,760,405,640,718,017,123,941,640,700,082,
911,609,938,207,364,144,193,955,522,466,369,292,285,477,895,987,084,508,982,
114,907,545,515,679,576,914,960,304,063,542,453,218,912,299,520,947,055,382,
791,434,373,516,445,920,474,367,156,928,890,555,869,793,721,368,487,935,900,
200,843,378,497,550,538,861,923,675,852,966,713,181,947,342,545,861,409,284,
262,573,590,719,084,595,811,039,896,458,425,853,521,669,849,803,325,276,912,
947,237,913,322,298,358,951,056,671,306,931,796,106,686,314,495,064,233,041,
078,710,468,646,688,767,641,575,147,402,570,500,485,845,225,938,612,094,722,
843,620,156,605,892,585,778,635,441,967,263,116,155,454,179,567,769,929,540,
701,293,974,359,994,383,362,001,208,937,627,401,600,882,423,431,983,977,599,
855,850,773,289,442,562,031,394,738,947,761,335,577,134,220,277,169,604,457,
060,783,684,489,211,609,382,748,372,177,531,483,798,730,547,795,796,654,458,
671,083,843,052,962,095,188,628,664,195,144,680,412,977,518,722,432,910,501,
254,451,965,046,745,173,401,081,969,823,820,516,119,336,522,628,245,373,827,
940,779,331,727,982,531,294,337,866,359,063,436,661,333,099,703,868,085,318,
405,138,744,178,619,880,711,965,198,234,493,554,373,228,235,699,441,873,596,
437,181,209,747,280,125,103,723,447,823,542,229,769,336,329,520,747,776,005,
233,109,699,370,230,800,655,167,579,687,535,226,441,929,741,084,205,594,145,
450,510,754,940,404,598,562,619,712,391,533,647,984,471,184,297,752,178,268,
162,780,079,224,904,991,212,666,858,242,686,260,314,112,283,430,202,136,061,
238,717,468,332,684,374,232,544,292,786,289,782,348,917,628,783,768,507,749,
549,886,599,798,553,103,171,147,366,057,322,113,802,727,527,296,978,822,114,
972,714,882,258,146,161,877,057,149,392,397,076,335,160,972,682,048,136,654,
895,180,660,910,845,202,114,537,944,781,178,148,758,843,903,696,471,390,849,
226,961,678,456,198,470,098,096,210,869,858,087,923,563,944,831,118,922,041,
862,883,685,015,451,121,813,942,709,689,607,987,215,011,323,517,664,353,044,
760,986,822,117,057,522,201,578,872,335,622,040,196,901,806,688,789,795,202,
001,371,597,509,025,798,473,487,259,502,186,207,078,431,473,390,129,386,818,
273,192,317,581,056,987,368,206,266,988,320,208,989,336,100,069,981,519,733,
643,019,752,491,145,378,339,316,780,412,462,339,247,645,054,470,768,055,269,
381,735,992,231,781,516,590,764,605,415,431,635,105,992,858,484,957,450,248,
996,378,718,332,729,306,569,071,783,517,391,424,481,768,450,063,485,355,514,
463,356,811,728,521,577,440,396,331,746,881,012,979,675,127,265,930,371,681,
753,913,257,237,976,332,215,119,759,352,136,668,218,258,872,568,834,285,410,
243,779,025,973,747,807,764,374,072,481,960,634,408,846,159,265,014,810,207,
710,130,755,645,631,421,832,283,845,892,750,531,149,401,475,452,234,039,851,
308,462,808,046,657,667,806,689,152,767,698,606,953,337,534,029,180,680,573,
944,545,639,342,161,066,151,271,038,450,604,549,964,154,548,737,388,222,835,
087,711,637,545,364,627,956,060,773,182,080,600,393,473,334,582,099,051,980,
258,731,562,693,459,316,150,474,582,904,682,828,608,285,460,538,139,605,156,
343,784,042,177,320,608,818,601,475,311,838,474,401,529,185,069,177,886,967,
439,387,449,698,821,450,972,260,095,627,563,256,399,270,749,192,035,266,843,
600,849,057,149,359,030,230,406,417,453,334,256,295,470,861,405,555,421,506,
772,903,668,148,699,811,894,359,870,197,060,115,601,964,795,279,137,171,475,
376,802,089,092,430,932,955,320,923,894,890,923,704,159,349,995,922,279,798,
731,568,433,366,927,809,407,708,795,917,673,073,603,625,075,835,463,229,087,
077,774,206,694,698,730,552,474,783,372,353,731,462,051,504,760,325,849,234,
640,374,677,117,741,714,300,035,418,883,786,465,457,206,728,394,200,217,559,
760,953,973,188,231,671,360,686,177,067,036,414,711,926,070,027,871,180,847,
227,943,144,359,683,709,224,565,695,621,752,069,016,877,558,995,649,276,633,
702,287,726,611,422,941,773,156,463,926,925,078,590,905,222,190,216,792,880,
570,937,033,490,872,048,226,553,260,016,164,175,559,643,009,836,212,209,061,
605,134,294,307,665,147,189,843,078,744,651,032,930,648,118,699,807,870,939,
103,036,144,480,159,731,126,616,945,450,861,651,630,351,741,579,333,270,709,
898,167,535,970,477,780,719,469,952,740,507,389,561,604,483,537,810,039,210,
631,922,771,034,613,391,817,700,710,459,361,405,375,839,388,909,296,673,979,
349,323,666,155,350,084,288,332,990,915,088,926,855,228,131,954,399,071,911,
489,405,134,751,771,058,209,986,083,881,821,306,042,181,995,901,004,812,362,
902,930,618,836,783,071,296,797,776,917,316,971,788,910,784,349,563,341,499,
901,464,633,495,956,795,424,923,440,996,511,313,679,828,749,456,270,506,453,
399,415,852,104,350,076,870,873,769,625,818,367,242,135,505,056,167,299,026,
505,734,971,868,369,769,956,905,853,130,869,854,671,603,973,099,321,168,062,
959,325,913,750,332,495,219,159,724,255,440,273,721,938,950,833,751,849,213,
533,486,420,848,886,158,766,978,363,625,493,810,469,110,759,887,641,022,380,
438,311,163,476,740,126,786,794,245,176,971,953,698,618,558,437,274,808,195,
867,369,370,512,430,813,296,049,281,473,124,334,344,281,442,765,957,392,488,
517,215,498,991,139,011,116,660,031,306,879,289,062,387,230,989,953,875,174,
817,416,330,676,894,703,306,246,238,437,080,004,856,924,141,447,026,337,233,
743,710,311,466,382,043,707,045,997,643,499,671,394,543,198,068,322,185,295,
161,609,065,849,267,446,446,083,955,005,136,826,413,882,565,401,068,329,289,
857,302,774,778,824,832,996,689,409,411,318,272,975,775,680,679,480,544,878,
837,047,467,493,803,322,082,033,491,610,795,940,272,225,879,934,157,144,705,
091,996,408,607,426,216,748,107,317,268,057,670,602,676,507,549,255,590,520,
345,195,226,921,682,319,320,222,592,902,880,838,181,067,445,115,309,712,165,
037,418,826,523,308,408,077,622,194,136,043,419,327,289,891,211,828,164,065,
635,833,448,125,986,150,242,139,188,347,879,794,944,212,961,560,618,490,812,
358,833,445,389,658,149,753,825,912,142,578,133,705,417,108,736,121,285,156,
148,255,251,160,198,572,085,042,775,485,661,181,053,509,993,281,348,030,050,
415,650,918,099,570,496,097,526,780,113,425,560,959,735,253,073,438,001,633,
071,374,873,054,774,851,136,363,717,088,101,439,959,641,819,230,935,567,091,
982,142,660,274,483,907,685,893,201,517,585,703,239,682,605,706,911,728,000,
467,434,614,883,873,749,263,567,632,377,776,538,156,797,701,498,683,276,021,
683,685,345,529,819,893,744,752,249,469,699,320,511,848,633,222,976,856,553,
778,231,513,734,996,287,703,522,167,365,234,945,810,542,993,283,725,624,196,
581,156,382,282,416,881,452,005,251,165,856,634,539,682,294,789,327,542,564,
321,266,057,477,938,647,121,328,313,623,546,330,322,256,800,030,966,119,579,
027,512,576,224,161,011,076,909,723,843,830,820,600,166,831,723,907,105,390,
705,910,477,146,070,948,657,944,143,190,392,144,815,839,790,700,898,024,747,
329,458,962,538,103,569,775,963,300,994,483,082,717,656,851,016,527,193,835,
295,303,887,058,598,559,541,627,011,385,711,688,992,009,813,040,274,975,323,
247,823,602,940,410,587,852,616,388,665,959,266,911,298,301,457,362,770,657,
067,935,894,822,105,501,146,173,824,849,483,973,765,986,198,184,979,144,529,
364,926,639,309,306,998,199,462,046,288,361,548,048,110,084,650,332,098,639,
418,921,662,832,568,377,547,900,712,479,461,944,795,808,899,805,491,357,086,
685,849,199,624,991,165,362,707,049,677,725,057,391,568,566,426,135,782,842,
648,417,893,747,823,041,187,972,348,573,426,785,762,652,316,611,010,589,098,
767,820,248,958,081,260,562,355,353,003,582,305,079,804,910,553,336,115,123,
139,536,367,889,670,481,408,823,125,006,082,335,300,434,302,832,138,451,153,
195,949,352,405,217,399,499,833,671,428,212,850,270,727,024,639,689,339,482,
298,003,332,311,644,542,755,650,713,393,616,792,200,499,844,724,080,458,858,
080,929,980,332,416,394,897,585,409,899,869,815,155,895,881,058,796,815,374,
353,401,369,039,025,603,582,592,301,997,953,281,577,203,305,767,129,251,765,
843,970,831,605,061,319,836,912,225,282,076,567,626,501,692,456,329,630,959,
660,087,685,343,358,200,325,746,367,203,089,005,178,777,042,978,591,388,774,
151,921,612,580,640,505,051,920,322,049,065,956,366,708,615,874,682,294,935,
293,924,446,365,211,119,702,828,718,163,413,434,458,539,595,210,943,543,386,
922,614,994,899,586,841,086,777,895,027,178,806,610,877,876,371,330,956,562,
829,632,571,777,847,202,079,132,097,653,211,669,845,404,668,636,133,635,732,
251,277,898,595,106,345,086,206,489,767,129,177,148,004,739,924,491,227,220,
461,661,870,766,604,661,226,226,921,097,812,829,437,594,942,732,278,810,976,
752,024,478,499,909,624,698,978,808,501,533,658,583,804,656,877,122,788,054,
450,413,641,781,467,089,306,795,706,392,975,550,325,608,597,088,983,526,705,
534,446,520,717,052,483,677,649,848,508,717,131,763,266,461,978,126,899,400,
545,700,726,266,134,156,376,467,651,213,579,250,645,371,728,418,650,443,385,
093,940,271,018,314,309,971,235,534,394,814,606,822,772,190,280,715,825,385,
868,358,397,621,559,929,295,167,637,218,319,631,821,475,097,371,258,679,054,
966,521,905,876,262,659,360,422,669,372,782,067,700,004,424,460,515,371,066,
688,647,355,910,278,015,313,508,756,412,070,519,910,175,494,119,050,391,543,
058,149,890,691,395,484,509,680,993,758,773,287,901,247,551,366,189,453,272,
389,206,498,175,434,521,713,815,757,343,782,982,823,362,644,351,420,719,620,
460,988,479,866,065,389,234,041,579,141,913,154,520,623,631,100,728,606,096,
338,361,311,297,338,383,361,241,582,420,298,401,869,234,036,684,432,538,682,
982,310,942,774,301,422,772,081,789,788,439,811,094,668,534,096,096,259,160,
350,512,602,729,463,652,225,931,891,048,846,000,129,692,125,945,752,667,252,
966,279,838,741,753,714,896,844,438,864,275,607,628,937,133,294,949,051,532,
328,593,926,789,993,940,861,419,387,217,354,040,647,060,459,390,562,145,147,
045,416,613,528,331,793,719,881,131,405,346,068,923,162,253,939,703,968,659,
803,075,374,319,740,868,381,437,157,924,831,088,838,193,880,106,425,651,371,
025,260,498,636,914,150,985,482,017,778,261,273,594,036,552,732,214,975,821,
820,853,979,851,744,264,067,390,638,688,859,490,036,252,272,008,766,982,930,
539,433,292,374,272,744,874,038,479,832,129,299,172,580,759,641,170,904,055,
907,265,727,852,522,731,691,073,493,514,422,410,893,436,443,551,259,436,011,
144,480,854,906,709,078,511,762,316,123,013,922,221,229,747,879,162,232,487,
888,512,998,046,375,331,908,878,113,008,487,064,040,204,440,240,669,268,447,
245,681,322,590,512,037,035,127,222,381,490,353,712,588,277,728,673,234,874,
961,303,693,503,915,654,837,729,701,505,992,227,725,008,909,009,438,446,904,
724,000,948,000,502,460,588,375,968,392,138,000,646,452,434,890,229,427,965,
309,063,228,651,756,933,577,723,221,810,859,165,007,763,012,591,338,454,296,
431,638,465,903,522,484,546,309,131,009,194,108,879,978,880,811,805,294,908,
238,896,291,449,458,886,249,336,340,505,172,180,888,254,492,198,680,233,866,
827,333,763,361,018,960,832,025,278,667,998,409,165,413,062,468,850,032,876,
128,833,136,856,415,134,521,415,491,283,400,532,672,807,861,294,159,988,313,
381,296,256,067,504,416,572,943,638,475,937,862,065,466,656,132,983,169,072,
993,255,877,347,984,766,009,240,429,333,751,557,081,864,259,615,954,197,971,
268,378,433,184,971,972,623,083,127,420,663,210,416,483,118,130,083,972,094,
729,290,321,020,222,805,342,192,081,235,045,990,147,161,900,928,317,559,225,
197,579,508,489,031,851,490,974,931,673,256,802,360,066,194,460,335,304,776,
081,240,915,215,181,539,492,628,565,247,042,768,297,740,233,453,645,951,703,
299,554,446,274,635,926,607,885,123,263,191,379,172,020,285,221,232,443,321,
898,807,799,101,457,372,718,989,828,083,504,015,758,057,538,467,325,980,974,
091,953,477,194,583,711,769,099,577,442,083,094,286,441,771,365,760,926,464,
235,937,617,958,207,714,790,049,923,195,540,585,745,554,016,191,009,769,630,
391,239,554,108,571,441,060,778,522,636,396,432,721,303,413,119,868,292,765,
785,864,164,687,881,936,397,171,592,380,340,706,599,176,378,271,823,264,183,
603,236,975,077,823,720,217,122,672,667,146,153,190,737,773,990,173,849,135,
993,701,221,759,061,731,378,996,004,760,448,218,079,708,873,193,291,204,080,
468,213,139,720,410,652,934,617,654,701,671,730,075,413,416,372,291,627,249,
437,669,949,746,051,595,240,171,853,559,214,446,004,065,489,477,042,441,347,
548,525,034,856,638,184,040,472,292,880,823,679,587,939,548,806,007,035,355,
717,558,604,822,439,470,924,775,866,113,453,670,789,579,877,037,398,368,399,
150,491,469,961,800,638,722,125,263,794,337,398,817,008,284,376,069,314,672,
716,628,425,865,179,881,308,709,983,196,766,384,872,794,892,266,677,637,824,
143,079,791,618,950,096,469,792,754,290,127,354,656,402,606,638,274,356,201,
905,273,616,451,780,619,524,725,674,466,973,180,036,242,164,590,797,752,228,
827,984,646,226,558,541,421,414,662,330,744,057,096,684,607,677,618,066,198,
494,726,843,422,341,119,881,566,711,514,541,385,383,993,505,563,034,881,903,
722,481,510,249,323,791,789,857,874,934,967,550,957,602,489,262,712,543,832,
840,528,495,114,670,658,234,673,184,146,735,072,982,001,979,736,999,984,516,
312,531,958,567,821,293,069,239,246,883,118,224,687,770,401,496,210,717,088,
012,917,624,563,111,901,419,375,027,062,728,953,418,734,844,580,263,261,081,
055,156,981,477,029,422,824,862,693,598,575,415,262,260,603,213,921,495,645,
105,959,968,586,077,481,774,892,550,830,645,447,242,228,591,900,895,173,523,
830,626,810,677,540,928,866,681,268,822,109,803,894,162,596,407,927,751,280,
302,698,952,833,285,782,089,397,112,083,489,489,899,676,654,673,073,036,527,
973,047,296,172,956,883,474,233,246,393,561,269,628,543,954,248,909,039,372,
848,800,465,290,636,250,036,149,139,994,942,576,968,445,690,791,946,484,554,
434,913,198,382,762,993,632,980,213,087,491,774,640,345,394,702,074,994,396,
340,550,768,407,187,819,299,393,886,384,764,322,789,695,398,652,088,778,519,
107,566,084,286,671,369,403,985,661,050,316,677,326,365,357,152,718,007,113,
055,847,492,498,809,434,092,641,087,369,684,148,808,643,451,522,420,216,232,
602,083,431,939,702,912,998,626,780,202,670,560,640,027,698,277,646,335,752,
381,037,056,999,652,191,050,152,138,609,136,606,421,095,651,151,658,438,125,
980,826,544,190,791,250,610,850,965,083,400,606,703,910,831,275,854,832,612,
250,930,022,585,371,367,983,634,357,465,717,374,137,497,486,353,379,906,094,
153,518,518,119,433,209,463,715,438,094,042,013,894,498,948,034,442,849,453,
971,572,676,892,873,137,572,158,566,518,332,818,921,872,482,961,897,559,342,
436,230,832,633,948,570,882,381,397,775,538,532,581,080,454,094,852,621,618,
302,799,918,394,131,178,740,231,200,180,067,061,137,146,886,482,548,886,730,
071,463,772,270,996,954,396,277,669,043,527,922,606,503,914,954,679,185,602,
363,754,422,764,991,171,656,288,353,676,975,228,564,316,288,492,064,542,685,
339,501,561,400,867,351,603,068,470,076,471,394,642,715,840,722,711,998,271,
223,730,341,031,616,877,957,606,584,658,837,139,515,354,862,984,530,203,284,
779,215,277,527,271,126,296,321,766,745,814,935,259,759,805,353,717,200,084,
561,949,812,082,550,917,853,690,194,744,753,302,392,689,099,965,284,006,213,
351,750,401,013,454,325,540,236,660,553,315,856,657,610,966,410,170,938,202,
155,919,914,337,131,236,911,430,952,507,236,499,447,076,578,210,531,172,789,
599,216,661,589,637,806,384,708,867,729,658,321,404,204,685,462,364,256,906,
491,203,424,882,293,354,501,279,836,525,654,743,767,259,644,867,886,546,747,
035,192,493,370,227,040,797,371,653,669,101,815,091,948,849,313,110,258,109,
593,102,259,463,298,986,931,008,242,044,652,467,965,943,789,657,751,237,675,
818,925,288,593,051,203,975,867,233,003,908,941,366,849,358,174,647,642,211,
367,961,647,819,272,612,717,739,923,928,306,461,758,858,348,648,099,134,366,
044,476,905,793,652,998,378,430,647,607,532,965,676,336,647,446,781,950,401,
003,058,210,983,933,083,423,422,867,647,795,786,122,349,769,329,851,388,665,
618,922,962,513,820,208,606,532,954,201,049,624,145,023,916,548,028,896,248,
961,461,390,024,002,243,870,829,604,563,087,531,334,167,892,776,534,696,536,
669,356,795,954,372,127,522,922,047,321,549,591,836,292,655,177,964,175,299,
402,502,654,707,634,876,898,207,010,422,992,929,769,437,739,222,617,874,697,
788,492,206,293,911,574,146,876,891,533,284,899,321,092,916,757,680,150,433,
352,027,970,023,426,525,915,518,268,184,841,586,115,201,789,524,747,297,164,
284,083,249,585,715,375,917,895,159,304,896,551,426,786,692,051,888,500,554,
797,466,168,780,762,759,383,693,637,640,578,830,286,406,157,619,547,452,807,
765,988,999,032,930,998,553,094,106,925,078,276,536,022,498,222,632,893,653,
715,418,171,476,904,731,947,530,986,075,376,272,543,480,220,202,978,215,473,
734,937,973,866,068,826,698,905,864,517,562,129,118,219,014,472,979,158,441,
674,307,833,729,097,012,845,139,574,848,261,283,591,244,621,372,102,043,190,
203,565,695,424,505,160,919,237,296,078,615,677,771,525,014,866,650,185,663,
610,297,935,602,431,953,229,655,402,038,467,952,269,423,373,999,929,326,107,
476,609,787,323,057,254,915,359,889,851,736,592,726,587,422,150,347,743,827,
197,404,063,889,924,333,528,409,768,300,198,699,808,711,250,560,028,239,952,
635,028,301,104,516,147,080,053,758,988,426,816,311,928,875,238,685,736,826,
358,248,806,834,854,971,993,284,531,021,986,666,668,876,962,238,671,846,853,
789,108,409,932,995,341,886,685,864,094,551,330,228,808,765,532,030,523,741,
666,571,968,419,131,736,344,066,403,750,771,493,739,359,056,719,868,581,681,
230,792,332,231,156,800,307,992,414,130,848,382,920,670,528,991,144,057,748,
854,756,080,383,004,990,127,302,489,847,128,496,700,283,191,472,322,542,442,
220,942,965,294,030,329,721,159,838,370,948,123,949,317,768,164,614,357,691,
928,785,639,081,075,320,870,560,704,295,125,701,765,661,130,019,487,517,520,
595,178,511,569,125,661,562,057,732,930,261,075,024,736,650,024,859,558,210,
056,278,754,775,679,633,427,204,171,201,140,504,101,891,330,958,079,097,751,
735,289,304,752,214,781,656,275,216,880,488,760,756,931,343,109,992,410,430,
646,248,350,021,593,004,947,806,605,395,882,536,096,899,457,089,510,236,821,
652,358,006,061,845,530,759,727,622,773,120,377,311,323,389,065,185,517,648,
917,345,254,450,675,499,496,082,487,568,954,087,868,707,809,928,280,770,663,
876,659,608,514,398,106,023,797,795,210,314,382,108,979,089,169,118,010,273,
778,137,526,658,996,525,131,672,289,124,733,430,916,260,974,344,742,070,404,
719,137,827,746,419,409,421,328,295,296,826,565,807,378,318,614,098,027,310,
783,822,649,934,956,199,969,652,012,327,808,383,888,008,269,191,640,780,585,
516,966,560,080,564,578,277,354,487,779,780,512,334,670,177,122,346,472,201,
586,219,006,883,401,707,852,371,628,060,820,046,746,008,119,081,735,732,650,
284,930,896,057,603,192,004,758,926,394,075,378,615,285,672,724,476,929,533,
785,210,810,348,671,119,160,868,254,822,759,518,283,752,578,973,270,228,639,
171,034,248,233,128,702,266,089,451,651,258,450,153,489,389,079,246,250,697,
576,563,994,380,235,347,734,484,900,943,150,490,814,258,800,803,472,060,060,
836,152,427,125,799,897,643,555,520,122,532,667,688,383,191,947,088,719,919,
067,330,085,032,794,754,622,608,227,444,031,476,456,780,799,920,776,710,634,
973,207,724,412,638,165,968,347,587,124,280,944,011,575,117,277,623,107,461,
307,494,976,230,061,273,734,957,044,586,358,389,018,713,554,378,637,064,312,
608,249,841,608,511,889,321,647,014,200,337,819,382,395,457,716,624,707,020,
804,079,408,450,258,443,215,959,185,775,910,430,117,741,539,088,992,169,841,
140,974,442,486,556,471,602,099,028,787,238,417,623,130,793,858,537,935,865,
724,362,403,161,399,417,216,512,861,575,181,191,845,412,011,353,761,799,348,
555,327,962,626,458,116,526,707,789,196,071,434,980,938,332,396,053,558,443,
650,232,823,716,303,919,910,976,637,813,283,165,936,056,756,270,430,179,426,
138,966,681,001,618,533,670,603,638,108,420,593,767,901,642,719,241,874,073,
931,845,983,921,192,988,267,505,617,125,004,034,989,857,231,553,706,147,941,
069,704,652,834,352,999,106,861,021,318,592,187,597,806,537,839,665,126,232,
663,924,250,223,426,561,284,056,640,052,426,868,688,381,201,000,035,627,854,
006,064,319,606,912,263,919,977,692,823,840,488,071,546,485,044,159,632,505,
167,492,487,096,840,318,600,634,155,616,690,664,984,072,221,353,282,937,596,
477,435,077,641,885,252,685,774,894,851,867,079,981,736,047,418,179,802,622,
363,452,040,691,156,726,342,769,836,769,916,057,765,355,096,691,064,652,235,
590,886,747,050,473,237,519,766,195,665,307,834,215,600,922,611,112,668,410,
340,315,161,998,763,439,426,202,912,907,651,580,153,096,223,995,765,639,111,
928,493,652,337,620,003,929,363,122,969,299,695,972,714,033,704,109,902,621,
860,827,049,061,551,941,221,425,482,729,774,336,900,653,222,280,381,613,340,
241,826,814,624,811,915,621,136,594,228,709,606,775,233,746,878,802,690,986,
249,066,682,798,425,527,794,732,592,856,361,399,169,271,807,085,736,596,083,
514,594,387,981,663,131,727,375,776,113,517,338,790,573,107,576,444,326,135,
938,342,148,304,055,308,882,054,381,714,571,909,135,791,038,212,867,515,512,
291,141,140,856,372,548,252,564,832,506,353,932,135,652,078,149,907,231,176,
589,683,637,141,990,083,585,430,789,963,807,328,690,459,702,946,588,535,586,
550,404,559,176,032,739,591,923,506,333,999,619,951,287,500,284,429,071,069,
460,844,895,531,345,247,829,462,263,115,826,224,029,607,263,413,501,157,953,
723,018,260,890,017,556,985,364,477,526,703,987,372,245,114,057,653,855,946,
473,518,397,176,383,222,175,648,442,757,049,099,827,021,489,329,481,106,444,
550,699,682,737,182,414,428,394,676,128,173,669,580,639,561,224,504,026,337,
577,819,297,466,883,817,965,459,679,450,969,468,870,235,155,523,685,328,494,
084,438,536,843,336,286,805,486,922,950,940,821,150,005,575,711,448,728,371,
059,932,377,922,721,306,344,812,726,839,171,813,405,898,177,494,556,388,771,
504,484,212,647,482,157,495,593,625,261,851,750,669,646,046,221,382,002,900,
487,151,002,447,707,930,051,469,761,242,385,785,655,908,552,216,593,170,406,
905,371,718,146,151,453,978,811,681,251,553,171,191,303,792,967,755,482,375,
440,769,734,786,875,587,365,656,479,544,157,363,439,264,634,710,627,823,664,
923,901,486,126,200,212,493,475,982,555,086,580,063,421,856,954,145,791,196,
094,821,097,983,886,361,644,132,321,985,460,773,306,432,410,432,335,384,183,
631,328,460,880,623,455,094,784,655,236,619,037,144,800,434,026,154,420,925,
510,340,641,758,972,726,287,960,457,626,867,647,078,607,404,007,935,942,910,
595,291,178,892,201,881,264,110,953,680,591,112,824,543,327,025,802,269,273,
996,296,818,263,673,195,506,570,037,378,408,354,136,241,496,730,988,493,287,
356,185,180,295,727,681,441,311,654,939,493,234,439,841,734,404,326,367,977,
018,164,837,007,911,321,180,509,524,842,013,762,821,232,441,005,086,107,289,
303,522,683,158,697,848,329,672,476,043,505,856,052,729,793,575,134,409,061,
874,754,739,066,341,685,318,193,483,770,518,852,031,278,086,867,670,095,174,
638,609,725,926,363,201,213,304,607,619,331,426,878,252,894,506,017,120,237,
109,968,024,178,502,631,233,951,521,860,990,991,789,333,680,684,739,094,422,
606,105,838,090,257,499,906,691,875,798,648,881,243,679,009,396,909,452,106,
721,468,472,630,667,587,906,614,318,246,246,994,586,170,733,610,240,248,167,
942,061,500,673,807,751,922,452,020,583,185,557,215,200,214,898,721,979,834,
133,550,226,624,179,417,538,087,763,626,860,603,687,149,447,899,606,421,961,
990,179,169,197,111,747,640,482,976,690,446,277,811,364,603,838,229,214,995,
031,297,641,450,770,885,661,841,408,068,770,113,261,850,274,353,646,744,044,
213,429,890,056,648,423,994,570,050,000,997,029,617,894,904,295,552,836,358,
860,242,909,084,751,959,811,124,680,068,077,141,418,882,732,302,173,704,788,
365,787,048,159,069,464,672,004,049,145,167,866,772,015,552,318,922,760,608,
703,081,549,360,701,521,503,625,308,044,263,515,353,387,269,971,328,767,639,
743,561,878,729,746,390,795,148,896,696,255,379,786,009,283,177,108,643,594,
030,071,767,151,253,311,743,957,884,038,777,720,230,119,567,320,571,406,192,
355,126,474,279,168,110,718,353,607,762,578,886,028,325,999,501,340,993,191,
783,194,223,101,170,697,406,215,559,848,371,080,490,101,804,020,263,131,229,
312,899,109,364,823,009,204,577,705,766,942,687,369,016,225,011,243,573,133,
083,546,068,274,215,547,714,744,029,388,023,659,811,529,592,335,681,169,467,
787,649,241,487,543,552,429,719,604,154,098,514,516,820,703,815,934,778,379,
901,899,936,673,360,849,187,659,582,590,606,521,195,289,578,144,671,397,756,
240,737,088,815,235,486,823,174,604,226,939,740,337,425,560,678,003,270,709,
564,417,617,970,182,447,709,497,601,695,505,402,116,970,462,904,999,898,484,
639,083,681,168,606,580,751,090,068,746,209,534,016,777,781,012,284,414,590,
305,827,979,783,695,001,813,245,483,639,478,381,755,020,742,624,075,575,117,
884,423,293,698,210,039,674,340,780,799,748,938,408,707,688,586,821,103,204,
634,595,945,168,152,856,542,938,874,323,631,068,824,714,096,051,359,946,422,
001,622,823,797,098,520,007,600,306,042,709,716,298,989,760,189,039,827,943,
999,985,106,940,801,960,983,014,492,476,419,433,750,893,136,323,347,253,599,
718,545,846,909,202,159,094,960,814,581,807,713,610,497,586,516,514,241,738,
566,137,295,999,062,015,312,723,110,965,749,946,749,915,049,341,285,780,769,
624,511,620,800,363,237,311,764,005,083,887,785,456,126,060,522,825,042,074,
273,077,854,717,732,385,820,165,407,329,025,572,397,349,728,431,031,875,013,
495,167,742,645,244,286,444,575,136,193,464,597,093,207,908,074,982,630,200,
317,126,212,289,859,356,679,567,007,845,703,136,226,068,604,352,432,609,005,
791,306,119,176,187,341,545,614,069,468,632,110,526,465,534,047,519,088,948,
353,328,589,824,392,864,852,052,024,170,994,205,744,632,693,156,403,797,604,
614,506,335,498,429,662,487,891,869,436,016,630,635,220,352,391,129,958,769,
501,017,395,358,481,558,821,947,758,461,763,695,135,405,292,310,829,243,544,
192,774,318,308,767,814,242,281,744,072,010,458,621,906,841,953,197,918,322,
609,367,792,012,573,777,342,652,659,934,010,772,280,201,485,077,804,493,396,
703,468,803,918,068,406,492,529,803,718,594,231,634,724,589,852,738,275,547,
767,363,138,664,985,389,430,974,231,639,711,649,914,253,321,691,518,801,238,
963,055,917,122,797,488,922,577,719,914,562,959,995,464,974,167,159,067,330,
321,790,635,739,890,214,511,189,180,974,531,467,827,445,593,604,990,797,349,
337,836,782,359,488,179,648,504,688,492,433,296,332,815,144,769,664,165,418,
309,370,159,059,531,652,078,762,935,370,906,924,019,639,518,071,145,842,084,
924,630,075,040,428,558,260,033,923,557,660,955,388,854,757,382,102,112,763,
941,301,461,240,253,208,667,568,901,282,313,041,814,811,088,586,206,246,290,
909,298,090,438,232,269,321,555,429,392,152,369,825,216,162,052,631,066,057,
424,889,571,056,286,888,669,734,579,005,200,769,478,007,871,558,155,512,430,
964,714,701,213,481,051,079,882,992,453,205,671,622,243,375,563,603,314,757,
769,591,787,548,612,568,943,811,342,718,208,512,488,909,130,702,755,520,760,
074,417,323,158,854,806,805,468,389,133,021,033,883,476,132,570,541,782,915,
229,513,940,830,072,822,591,181,489,765,886,217,950,959,162,994,383,153,138,
131,970,216,075,572,827,466,862,389,817,702,258,623,407,708,367,836,157,076,
302,208,144,674,108,130,348,034,433,343,594,549,547,937,001,098,869,576,085,
397,893,593,105,409,333,086,408,846,714,767,898,109,416,867,846,542,568,316,
602,838,621,106,758,497,651,566,400,656,580,173,638,165,460,414,575,847,980,
096,256,006,462,827,129,042,400,694,920,032,575,832,500,141,684,163,447,988,
188,767,235,509,949,924,297,590,138,077,546,296,373,394,052,596,404,616,251,
436,427,595,450,315,367,432,717,115,555,301,454,841,712,603,265,989,706,261,
326,745,162,272,685,441,316,954,798,469,852,842,639,757,234,004,883,213,612,
515,447,841,189,374,695,383,858,108,621,027,789,099,453,116,573,777,636,268,
057,248,181,780,198,399,477,255,238,177,265,993,065,562,806,684,092,723,408,
765,357,775,116,859,239,857,758,511,842,207,648,309,180,746,915,779,948,654,
152,017,201,031,880,751,905,384,897,398,073,858,536,321,098,466,004,242,169,
344,569,510,960,194,635,069,299,199,908,468,085,058,447,287,386,410,300,120,
295,105,846,843,504,993,345,589,600,275,366,269,290,033,456,114,574,439,760,
812,046,765,548,761,679,945,266,117,147,943,779,604,316,130,286,174,258,145,
312,783,093,783,467,842,147,554,988,082,841,728,111,863,489,127,418,603,640,
923,908,748,953,510,484,928,607,831,198,619,180,407,866,451,933,290,927,319,
620,907,760,955,828,813,791,103,252,754,962,826,605,445,679,655,165,319,695,
750,301,281,629,033,103,810,590,226,282,809,030,949,613,871,124,561,169,146,
850,494,602,014,518,661,468,420,809,977,706,949,874,608,737,803,175,586,655,
542,784,920,085,596,579,167,141,774,158,757,972,823,056,099,005,857,298,942,
327,502,424,163,070,254,274,318,664,539,542,714,244,954,901,458,098,144,022,
640,983,966,307,308,657,332,184,331,469,035,315,964,804,645,229,162,623,800,
818,473,765,688,340,374,447,631,941,646,939,207,821,494,472,359,063,945,055,
097,936,336,722,458,605,997,536,395,411,113,559,326,003,530,647,665,108,896,
114,734,737,683,685,457,598,568,743,849,666,659,604,204,781,811,165,000,133,
717,349,822,855,050,930,481,692,113,990,804,901,357,706,333,902,019,644,920,
501,594,019,963,163,080,294,552,756,275,126,546,689,107,136,957,153,223,249,
458,874,633,426,156,061,438,087,967,272,485,342,862,343,899,319,669,431,185,
896,709,303,667,153,141,164,993,868,667,628,004,826,416,937,212,161,072,234,
888,450,853,879,876,658,729,759,069,489,737,817,886,972,802,209,280,117,741,
400,368,813,214,763,905,809,656,641,242,373,528,799,498,973,253,982,682,121,
452,843,729,814,280,277,454,121,629,929,719,398,166,531,315,573,622,297,617,
163,157,725,795,925,270,544,959,497,522,794,793,175,956,203,152,170,727,177,
962,997,522,513,365,548,943,520,714,827,600,105,178,435,111,086,067,383,415,
569,765,629,787,824,772,624,603,967,482,072,436,553,744,354,091,509,331,094,
394,328,532,327,628,915,587,247,697,508,557,415,980,029,033,104,371,070,639,
910,222,850,181,751,766,257,486,768,535,868,963,580,953,180,349,260,260,217,
193,118,303,162,406,171,475,166,847,144,403,009,493,630,159,059,540,828,393,
622,837,360,215,274,153,690,460,129,270,262,916,361,404,021,103,675,830,345,
477,263,874,781,897,103,282,618,158,245,270,694,855,765,666,109,569,074,310,
043,563,104,452,174,790,779,858,805,098,063,674,635,204,229,781,981,568,212,
722,251,719,322,034,521,188,626,818,720,748,331,075,718,246,895,582,027,709,
905,117,656,998,118,576,655,233,362,126,270,744,097,986,557,449,045,489,761,
685,924,983,337,506,011,099,012,388,574,250,803,737,950,994,457,613,047,350,
170,715,514,101,812,772,182,483,010,226,236,989,352,268,701,755,517,231,257,
397,967,143,375,143,430,341,219,968,769,002,798,008,002,325,871,142,005,809,
525,179,313,425,206,826,994,396,221,131,499,456,279,583,778,308,101,950,986,
588,270,828,175,891,338,019,443,816,668,516,541,877,092,961,545,000,585,313,
068,333,255,831,744,344,238,072,038,286,771,275,115,884,717,685,409,393,888,
104,013,117,024,880,801,917,208,399,200,022,499,572,226,482,583,073,685,862,
524,015,836,901,770,801,983,249,815,321,854,197,649,475,356,193,703,201,282,
292,020,672,737,277,785,768,525,827,995,466,958,753,334,029,903,356,913,371,
315,719,322,075,605,447,579,743,662,647,882,013,716,024,123,019,954,099,028,
396,771,083,268,337,557,340,468,290,862,133,240,211,197,793,387,802,165,197,
918,179,449,213,969,247,978,151,989,599,533,416,296,313,779,831,918,209,635,
063,601,252,767,068,766,058,771,994,793,718,011,102,742,067,408,402,715,159,
436,544,393,138,052,258,112,548,037,158,682,232,568,701,903,647,869,899,665,
533,110,935,883,399,092,121,064,150,040,040,166,956,901,110,861,770,949,647,
915,506,829,733,941,637,289,343,739,839,544,945,391,333,292,110,182,358,708,
068,710,148,125,614,881,656,383,106,502,589,659,770,008,571,447,802,557,116,
087,120,799,186,578,054,236,939,737,752,590,140,806,804,785,907,334,972,981,
471,739,172,427,708,809,349,322,531,603,396,724,761,915,220,902,090,909,964,
515,261,651,399,220,815,521,801,533,447,309,392,811,044,284,784,841,743,270,
377,341,281,228,956,072,642,256,825,160,927,304,342,940,314,623,017,277,079,
997,988,164,730,122,663,822,249,363,767,917,171,185,616,894,158,325,662,869,
182,274,803,718,864,506,961,031,572,905,583,040,526,698,155,559,891,324,238,
950,095,319,706,327,165,311,786,409,843,060,306,768,528,909,943,276,585,535,
605,625,664,942,626,738,442,134,660,490,874,006,290,585,068,463,099,916,973,
655,062,146,895,304,822,273,487,019,237,581,346,735,595,038,949,550,641,556,
968,418,551,960,147,041,447,803,914,596,858,171,717,021,270,464,891,227,879,
806,028,971,031,687,408,068,260,006,519,777,453,930,220,212,886,640,764,773,
585,613,736,444,504,183,455,407,402,755,692,147,115,012,204,588,955,996,588,
863,358,284,969,772,974,726,557,963,783,972,590,566,571,964,942,752,294,852,
095,954,377,197,809,763,261,181,016,239,954,273,821,705,511,624,198,593,621,
555,997,014,241,525,449,535,633,540,654,866,310,599,585,477,188,274,934,460,
236,330,471,275,074,987,678,480,751,205,172,740,383,721,563,520,452,454,309,
998,805,356,901,013,755,010,516,081,254,519,813,893,213,824,274,620,215,562,
007,976,419,723,036,944,939,435,285,438,087,913,545,537,337,595,698,968,959,
632,897,428,086,099,462,559,422,931,150,604,641,298,217,955,692,865,322,875,
538,803,783,279,813,772,255,373,008,206,022,552,930,110,771,803,103,147,542,
368,635,853,535,942,653,122,663,354,720,472,495,734,240,585,577,011,979,855,
034,749,437,319,070,610,635,251,770,250,995,908,916,087,320,851,045,409,931,
381,703,371,981,504,216,535,606,260,479,595,422,710,979,031,075,932,006,403,
924,924,904,243,441,025,725,071,994,343,332,693,467,069,636,745,172,603,248,
223,536,196,067,514,700,006,159,408,646,183,095,536,952,751,814,843,319,777,
176,387,624,966,500,996,171,811,133,623,696,235,942,432,616,640,994,980,662,
060,195,711,202,336,101,157,574,983,342,754,927,348,003,346,322,956,780,762,
222,989,973,861,721,086,601,879,203,423,240,335,772,528,482,953,735,096,049,
189,176,565,953,352,326,178,372,312,284,024,486,845,587,682,346,343,442,239,
461,238,254,025,063,934,652,194,342,403,251,061,159,942,748,796,394,308,084,
705,365,995,886,072,745,279,392,835,594,312,789,220,033,307,998,222,314,515,
392,705,393,575,751,070,543,620,039,047,670,653,748,764,548,722,579,551,453,
942,736,925,860,244,087,139,199,236,365,091,053,787,181,117,258,678,843,132,
524,467,641,114,450,635,315,611,046,091,846,573,999,544,508,472,067,890,366,
382,835,571,038,919,408,515,628,094,242,928,835,161,365,787,648,426,547,778,
442,938,289,285,254,031,828,400,964,189,045,705,877,578,456,633,568,759,603,
835,736,409,081,950,177,249,501,060,615,645,590,339,951,492,978,117,589,645,
359,707,002,132,071,814,413,934,019,217,130,239,928,077,547,505,784,147,620,
635,598,384,055,098,856,261,047,331,437,933,175,691,836,966,843,161,988,737,
759,850,661,326,300,525,001,718,633,295,942,645,991,432,351,841,484,963,123,
038,005,446,108,234,461,809,013,104,413,160,950,863,035,648,203,003,642,758,
963,990,365,568,889,386,485,566,549,110,932,754,397,821,205,416,520,503,438,
726,517,629,542,414,083,896,744,304,909,390,228,296,658,274,657,398,689,152,
809,112,091,650,574,571,220,156,867,414,776,804,977,346,452,629,406,255,243,
430,789,827,062,323,856,327,111,611,913,186,720,529,490,958,715,004,223,591,
707,826,104,297,352,587,044,333,503,587,733,896,424,464,818,586,571,152,904,
510,580,883,837,926,038,269,767,416,847,447,937,166,246,049,652,382,513,008,
503,333,729,990,437,288,032,803,197,461,617,508,129,327,308,120,547,664,272,
470,339,675,960,894,500,317,282,268,238,727,948,276,158,637,995,610,543,991,
078,891,088,078,472,977,113,918,297,209,911,210,325,268,782,764,847,012,946,
161,371,697,297,862,533,773,852,426,666,099,039,925,094,403,433,311,980,860,
287,508,490,073,059,085,040,748,121,859,758,004,879,461,752,645,142,138,504,
150,805,604,580,875,268,622,100,286,873,168,021,143,637,555,323,584,113,264,
423,554,925,067,842,296,369,001,627,973,576,338,545,168,745,161,300,098,293,
744,826,987,859,161,591,998,652,704,803,702,160,761,566,828,870,165,305,993,
977,866,298,388,473,680,980,989,147,369,820,597,676,564,992,034,490,366,199,
252,822,430,619,673,623,417,522,855,361,401,788,934,403,693,631,848,455,389,
842,383,706,624,039,316,415,731,110,169,078,374,021,748,567,083,227,294,343,
106,461,714,212,517,064,933,191,327,657,807,462,869,981,635,569,957,998,351,
190,117,888,302,715,246,624,355,349,613,189,281,597,163,735,580,836,835,228,
873,306,439,680,327,803,693,353,192,131,772,677,808,737,300,634,061,491,149,
930,674,900,423,936,773,011,474,414,152,376,705,686,918,099,145,972,247,107,
204,381,759,264,911,093,476,454,274,424,295,391,606,626,697,378,355,824,343,
102,008,575,064,802,482,505,436,281,474,759,140,941,867,284,956,290,851,216,
326,907,797,342,166,257,975,561,912,810,689,202,522,428,076,413,042,453,112,
185,710,107,113,156,767,788,158,404,758,875,779,672,081,303,184,393,576,226,
928,168,477,133,368,485,143,302,250,494,546,189,435,737,109,725,148,694,761,
752,840,199,700,962,544,335,627,703,238,678,595,392,230,921,998,253,533,658,
938,452,559,135,634,426,905,050,433,649,832,428,798,688,793,541,353,101,644,
873,610,801,417,375,914,064,492,851,140,563,401,813,945,835,431,621,698,718,
011,328,360,184,565,993,761,276,602,694,531,431,884,586,834,182,553,838,843,
483,961,945,226,642,672,349,235,473,048,707,489,263,219,071,088,473,687,712,
162,276,020,256,740,345,259,002,054,293,083,204,490,870,205,322,245,597,431,
768,799,591,172,647,991,819,322,210,077,962,348,059,246,644,409,068,364,298,
263,808,763,470,113,757,746,916,312,704,974,398,456,241,488,684,172,982,735,
387,152,205,745,350,677,780,135,167,408,742,343,121,078,764,362,067,690,842,
318,511,459,292,790,351,090,127,216,413,350,749,647,979,139,556,064,719,335,
917,185,292,859,633,031,757,238,281,200,305,912,976,831,205,564,383,691,256,
408,107,339,225,252,505,520,439,039,824,819,064,481,499,854,202,037,032,450,
022,827,684,501,177,585,997,895,477,759,450,435,309,458,498,843,077,662,863,
823,435,704,806,676,658,422,579,405,408,822,986,963,607,793,046,194,691,216,
054,462,190,551,575,872,659,784,460,968,062,296,277,649,451,951,866,807,346,
213,918,772,169,249,537,702,437,374,747,288,774,853,176,046,809,524,070,497,
515,588,104,494,148,801,890,472,467,853,760,156,540,146,223,918,061,322,919,
321,346,631,681,865,261,721,222,121,380,880,496,796,784,045,900,746,910,607,
003,593,649,478,917,607,691,747,429,155,284,160,837,019,882,415,991,093,827,
936,805,959,121,805,249,821,605,393,613,746,877,755,840,675,160,773,801,357,
155,209,742,009,439,513,570,849,488,762,058,119,210,409,787,805,086,913,614,
731,329,874,886,847,159,118,472,586,096,877,908,766,082,097,169,366,231,813,
355,684,668,280,267,229,723,677,800,346,735,260,081,616,316,171,271,620,304,
427,631,426,961,125,273,618,380,364,817,145,623,211,167,078,344,368,944,954,
941,539,214,291,575,116,427,853,396,574,454,198,531,120,308,134,688,672,309,
075,626,497,625,991,951,410,358,780,612,571,620,034,707,836,133,306,048,576,
255,370,950,655,652,342,484,752,797,709,097,175,724,193,608,444,375,455,962,
747,179,679,788,460,609,314,916,997,194,806,256,274,252,509,898,179,176,246,
685,192,701,395,120,750,101,020,196,022,799,061,006,940,655,149,756,485,021,
949,881,137,972,980,286,572,826,543,478,740,747,493,131,563,083,642,091,322,
457,876,276,199,983,066,999,121,632,727,439,719,548,362,660,944,434,390,544,
547,034,871,599,267,656,272,964,538,860,971,524,821,729,333,298,838,463,159,
402,094,443,346,287,411,320,391,360,596,573,301,897,005,022,555,713,345,492,
744,560,667,594,973,209,341,753,217,392,809,985,770,371,979,259,187,072,111,
838,912,034,338,387,728,318,938,265,685,347,660,913,252,270,392,556,079,609,
906,712,035,627,211,938,198,132,857,680,378,275,294,422,677,805,337,012,155,
121,251,766,223,492,347,549,704,271,292,748,640,208,291,549,298,929,735,963,
619,974,189,780,811,161,998,777,387,850,820,071,462,180,628,866,844,812,257,
403,452,054,397,130,534,075,768,322,470,039,565,356,301,583,015,039,135,263,
222,429,222,042,008,874,727,120,111,048,565,599,844,560,914,024,755,242,474,
208,480,004,037,779,040,629,308,825,145,315,122,574,348,569,819,274,326,280,
546,553,424,294,681,721,711,853,039,132,482,140,683,369,398,535,156,062,275,
741,237,834,620,523,318,217,878,380,213,951,584,746,201,443,066,200,852,960,
056,146,257,704,241,149,973,716,191,284,123,367,821,739,378,602,707,718,409,
615,249,532,523,733,436,863,615,547,477,694,890,083,200,480,424,194,939,274,
033,891,369,882,301,319,095,155,110,567,228,815,351,262,057,745,508,116,649,
224,984,870,378,997,129,183,140,181,079,534,032,580,789,472,936,046,937,067,
894,480,152,912,823,018,254,870,740,031,599,005,550,165,084,307,132,800,083,
019,886,456,842,972,008,485,384,966,297,274,378,244,910,299,915,677,446,233,
204,088,086,302,426,688,607,141,884,337,770,726,084,825,021,477,834,925,562,
943,828,193,963,292,891,902,735,355,371,124,699,288,706,630,568,978,715,215,
178,385,596,670,549,088,559,834,867,699,238,539,134,008,511,978,368,295,273,
388,138,860,852,113,037,313,592,505,074,539,468,805,402,717,302,611,736,884,
970,498,007,081,891,990,253,195,895,840,132,713,140,092,882,883,215,857,268,
928,764,125,995,892,226,708,544,431,037,237,101,842,786,280,952,168,902,310,
460,527,931,683,543,704,849,897,048,590,026,702,385,725,828,138,177,629,463,
995,054,824,164,343,467,039,488,034,707,315,290,125,987,477,407,974,762,915,
063,718,561,864,275,340,494,975,945,886,683,749,838,806,539,120,597,994,963,
970,732,799,683,215,603,385,336,007,863,470,867,705,862,273,492,095,718,573,
704,541,052,528,542,452,312,168,193,655,001,286,631,550,270,440,342,870,768,
215,383,833,337,836,450,082,422,824,933,985,984,453,181,545,718,378,940,546,
505,006,026,262,404,263,700,576,370,632,320,908,433,440,345,967,174,206,799,
526,005,435,123,015,994,006,687,706,011,328,685,346,427,623,327,592,965,153,
656,954,775,622,350,786,118,926,641,576,972,043,858,987,303,846,042,741,788,
650,203,874,474,194,509,723,975,108,469,149,655,013,525,512,496,230,664,685,
259,038,584,939,423,474,393,191,341,427,061,562,388,944,032,480,976,358,643,
712,535,169,061,351,660,028,247,407,861,950,412,285,229,758,862,056,571,778,
343,428,313,487,380,605,141,614,713,272,262,065,856,178,612,247,427,797,282,
370,890,804,306,171,572,022,133,720,218,345,625,804,114,012,302,841,404,051,
701,891,880,791,948,481,858,653,502,332,532,526,171,424,235,145,992,562,024,
550,523,631,168,668,838,252,149,846,332,952,368,891,518,746,008,361,825,340,
407,347,261,103,280,602,402,930,195,946,319,104,733,497,503,392,150,161,553,
845,294,747,581,155,691,323,707,757,665,309,588,035,368,407,274,856,883,608,
262,832,827,964,401,468,069,778,507,414,047,432,914,876,566,895,067,083,291,
871,677,855,435,671,740,730,825,585,869,085,228,002,380,237,713,093,652,213,
630,360,110,511,224,269,521,756,671,754,007,908,709,930,625,464,697,533,794,
895,255,567,826,496,477,323,296,510,380,723,615,306,203,567,313,201,468,011,
202,312,522,157,287,410,360,324,266,012,424,926,147,224,676,020,392,591,569,
119,727,517,855,832,707,218,453,366,114,579,656,193,884,705,185,733,552,669,
699,645,735,339,352,816,805,793,093,611,608,303,828,738,462,345,384,554,905,
363,534,066,156,270,915,945,304,909,801,443,674,198,296,974,707,578,980,376,
036,071,676,429,019,948,242,181,778,428,179,171,218,745,630,091,095,121,748,
719,894,795,427,515,820,167,850,360,016,304,912,488,152,792,721,809,337,953,
428,506,553,304,354,360,003,898,827,225,944,238,816,727,257,743,101,429,589,
206,311,901,381,400,956,315,541,612,165,919,321,728,532,985,977,781,955,962,
529,622,179,587,725,608,480,685,416,386,119,149,395,929,150,912,073,546,051,
116,994,662,814,945,958,173,308,119,339,092,160,274,748,022,877,374,461,290,
475,970,618,447,044,474,571,357,958,757,517,550,670,386,485,760,795,797,542,
540,140,775,746,150,211,505,893,258,864,354,605,070,343,917,591,959,591,661,
659,370,942,342,680,668,151,877,503,577,762,486,515,456,213,936,430,693,409,
840,764,218,707,462,655,672,319,482,190,202,884,751,789,905,273,797,600,913,
696,839,623,305,177,880,679,600,295,802,528,256,504,020,502,131,276,537,418,
953,766,630,085,264,904,855,033,789,894,758,813,033,860,268,940,963,648,011,
937,883,760,434,891,048,250,201,602,788,620,080,993,048,605,439,759,530,660,
111,748,400,906,597,625,180,292,434,836,571,307,329,690,040,698,848,856,175,
060,464,089,183,506,275,218,940,006,462,944,562,119,986,401,602,757,312,373,
559,261,232,586,425,384,786,402,287,137,323,652,825,138,339,316,240,184,218,
846,835,223,933,557,017,644,416,797,804,467,452,019,381,263,279,840,278,433,
097,002,126,182,248,120,211,325,905,650,247,088,253,890,835,852,147,022,986,
302,470,518,849,281,164,793,770,430,394,283,959,413,349,139,178,936,730,222,
830,960,704,825,554,429,045,610,575,088,946,292,766,752,126,736,693,493,083,
447,789,151,421,674,059,660,956,918,525,291,869,290,432,261,296,685,970,220,
591,221,539,869,748,859,752,328,341,532,636,961,713,542,647,958,911,777,229,
487,051,495,411,464,191,085,443,379,735,291,614,651,637,458,372,351,403,732,
457,868,212,449,320,997,516,904,106,498,702,825,317,256,965,637,619,368,412,
412,670,551,698,846,177,908,008,182,315,571,829,053,438,221,523,855,332,725,
887,624,899,618,197,902,664,879,917,517,222,252,323,411,403,113,083,295,148,
818,121,088,720,417,402,649,566,747,745,182,296,666,942,174,925,179,902,275,
758,220,929,808,395,324,914,867,275,713,915,530,749,894,546,256,214,795,140,
850,731,604,820,896,642,191,809,459,345,853,105,489,353,980,916,491,121,229,
465,084,799,575,765,546,673,987,711,084,265,176,860,259,095,039,749,585,946,
937,290,622,938,933,837,737,958,067,478,911,809,302,249,192,519,720,168,461,
616,926,959,365,242,479,335,299,900,183,845,979,551,334,824,898,384,579,557,
972,682,608,788,210,847,163,209,358,786,538,136,205,213,337,623,085,431,655,
227,793,315,230,240,956,992,026,579,208,409,919,081,913,964,449,657,961,765,
954,281,273,631,534,597,721,144,965,411,924,984,784,310,783,738,845,708,818,
625,409,608,206,840,684,321,627,848,061,283,436,518,499,660,888,201,292,088,
262,935,660,375,011,461,841,473,846,321,588,471,855,625,388,364,690,392,539,
642,806,620,917,858,643,221,714,362,060,792,022,628,767,931,557,213,656,551,
390,099,452,231,263,545,714,052,463,443,728,598,369,662,363,847,558,504,945,
534,015,272,402,976,931,010,851,909,952,365,861,513,567,275,351,085,197,848,
092,821,595,268,279,833,227,371,178,073,601,367,750,264,658,399,093,335,029,
206,025,930,123,375,532,291,969,954,400,874,863,377,189,216,642,524,405,178,
781,280,815,870,417,011,778,069,964,965,385,909,915,544,666,367,840,924,689,
409,564,622,725,931,431,918,852,417,447,629,975,618,237,647,728,909,127,993,
981,120,199,241,153,641,676,745,327,876,149,243,028,515,269,472,357,543,823,
932,393,166,708,421,792,014,326,804,737,012,184,626,333,188,613,456,622,662,
090,456,227,719,097,653,733,210,549,213,058,865,205,547,527,616,479,175,411,
067,330,853,216,922,742,970,609,502,719,027,413,206,027,402,557,031,933,259,
549,682,181,376,264,329,191,411,219,266,130,135,354,860,188,206,325,495,658,
832,121,249,188,138,757,475,532,826,539,329,511,731,227,159,178,440,174,225,
720,428,427,120,370,069,198,305,247,004,343,681,674,362,143,576,622,939,138,
921,954,141,449,937,051,555,375,369,772,562,610,270,878,010,368,447,160,341,
640,499,639,250,354,356,892,610,178,920,404,739,283,815,337,574,484,424,065,
675,041,159,359,993,027,637,203,808,871,155,702,669,411,570,998,428,842,908,
920,718,975,290,843,659,719,371,836,393,847,303,486,343,695,972,724,241,720,
144,352,711,431,105,877,288,630,767,587,815,333,348,925,468,276,778,080,419,
494,687,067,153,472,140,286,222,687,944,897,573,116,692,193,993,447,432,209,
823,469,841,948,874,380,974,250,276,211,379,761,441,338,283,185,073,189,745,
061,732,088,054,494,006,173,676,796,263,692,455,633,263,188,815,815,922,698,
304,363,502,411,503,936,749,164,197,742,520,984,859,731,294,788,926,940,059,
849,770,062,049,116,837,291,185,002,217,055,540,200,690,421,847,887,288,396,
927,231,899,896,832,199,384,047,978,833,284,662,676,105,945,456,109,724,692,
534,820,961,259,036,286,154,412,387,431,136,641,462,033,097,910,504,775,302,
849,910,875,024,902,221,275,649,101,889,160,742,739,584,895,646,229,134,971,
740,472,165,085,342,750,580,996,124,518,558,176,280,723,572,316,528,679,360,
887,631,258,658,881,647,513,115,465,683,902,251,748,506,461,359,928,657,725,
705,122,912,137,399,061,727,713,785,378,765,951,291,573,671,261,223,920,296,
899,184,765,951,863,687,750,486,273,603,460,782,115,758,103,040,309,140,952,
821,523,479,898,064,678,997,601,126,905,179,187,715,108,124,883,895,840,322,
284,241,868,036,077,028,017,392,833,981,017,370,502,875,891,095,823,683,210,
499,453,998,326,179,427,990,048,887,368,756,656,391,756,888,847,484,610,760,
356,380,813,291,677,650,220,477,159,962,786,437,502,439,875,361,018,294,805,
161,063,626,118,720,451,372,098,717,817,157,322,369,141,729,946,913,571,363,
219,723,769,850,243,267,626,314,255,829,520,955,495,565,513,829,101,393,529,
326,580,118,573,053,831,332,154,233,092,344,056,929,155,435,191,610,498,830,
742,441,590,656,288,870,512,892,822,822,505,138,021,617,639,674,888,491,894,
638,637,389,227,982,822,407,195,553,334,894,852,779,141,183,699,387,727,780,
464,484,752,974,153,331,788,761,516,939,067,502,284,612,165,196,490,276,936,
019,913,895,525,503,813,051,660,941,337,184,658,077,349,498,716,097,693,178,
612,934,253,564,996,325,751,938,451,188,632,943,486,449,678,745,366,135,659,
348,504,478,229,950,048,397,735,757,668,534,916,725,901,895,683,456,979,160,
426,323,713,135,520,340,979,996,952,956,512,973,372,775,708,989,416,101,507,
060,726,810,096,546,545,969,300,822,860,077,977,003,793,251,765,334,283,015,
700,853,481,110,853,488,963,619,472,474,152,374,603,893,600,333,244,870,884,
740,672,082,002,012,124,675,873,857,410,850,863,395,069,786,347,054,299,032,
517,570,635,259,662,421,561,346,893,375,344,200,764,423,850,342,420,114,402,
200,704,484,957,882,750,543,407,216,052,590,093,654,138,714,077,147,691,707,
964,672,355,663,743,344,685,527,647,236,964,373,841,625,472,696,242,535,792,
272,189,238,781,022,857,264,298,419,673,207,649,793,545,851,120,443,335,459,
292,838,455,762,051,696,461,012,409,173,820,820,670,386,331,477,062,654,639,
633,477,068,775,186,446,521,282,558,939,909,202,423,504,189,040,337,088,763,
037,893,275,306,869,491,195,932,478,139,824,815,926,693,479,710,385,940,425,
426,452,898,258,782,712,009,002,667,185,341,167,038,578,139,535,683,570,100,
286,308,988,634,412,183,568,018,624,752,424,492,609,187,867,286,630,524,201,
140,177,143,071,259,938,814,678,186,433,863,351,725,328,618,543,569,173,349,
015,902,323,706,243,322,560,672,713,353,722,643,410,283,047,430,883,881,510,
302,122,280,282,757,054,560,266,026,400,155,767,833,378,702,521,379,540,875,
851,107,199,458,658,525,459,823,325,059,362,168,160,660,917,692,433,796,263,
519,929,080,564,425,009,735,857,455,980,654,649,776,332,106,324,375,802,800,
942,087,861,837,872,532,149,689,293,897,661,161,017,981,439,298,709,459,073,
061,973,147,000,202,518,290,063,726,583,557,867,136,338,494,435,285,087,043,
342,933,456,638,509,104,184,720,902,561,874,556,024,779,385,362,939,103,200,
260,304,277,187,288,619,994,725,672,602,050,070,697,250,265,533,842,651,220,
235,031,669,537,732,480,171,297,038,718,104,028,977,102,183,043,228,270,257,
739,855,618,222,723,747,596,624,622,829,533,747,225,495,343,864,370,163,614,
315,563,225,959,461,072,204,054,338,335,239,769,362,497,263,273,048,567,971,
510,465,553,822,121,858,232,305,146,983,348,957,302,704,690,717,170,443,710,
770,169,739,097,065,813,017,955,406,329,914,474,225,536,489,695,695,392,909,
508,271,514,325,118,838,480,277,772,918,147,981,058,673,366,780,462,496,593,
142,393,174,031,277,811,751,190,445,936,634,357,035,716,970,680,058,099,025,
465,453,797,620,672,821,748,882,114,207,689,556,112,433,740,927,229,288,474,
214,842,998,410,904,421,379,207,535,162,633,760,815,447,622,429,521,698,683,
666,875,949,646,419,661,505,344,919,816,445,348,498,401,478,209,064,261,509,
310,759,178,123,018,151,254,336,519,833,491,107,588,858,911,284,117,977,630,
650,280,998,458,022,719,541,708,182,287,931,721,465,206,522,359,418,417,290,
719,732,507,406,713,701,633,585,077,727,579,859,895,102,724,296,874,562,092,
873,552,057,744,736,059,688,473,090,312,394,998,248,639,713,804,334,132,488,
175,787,110,740,185,975,971,544,551,115,254,430,806,420,116,169,067,797,850,
242,193,682,841,513,346,984,023,748,268,830,378,844,244,038,182,139,828,103,
016,068,191,433,903,161,211,696,484,810,226,124,482,631,061,984,264,632,412,
009,372,892,921,753,369,051,227,533,754,205,253,370,104,672,299,597,798,717,
956,544,769,271,600,989,881,205,475,945,299,472,047,528,696,849,775,277,186,
669,765,178,096,594,083,788,955,219,082,408,595,417,466,491,343,105,327,711,
975,368,588,851,228,874,576,416,874,838,007,972,242,781,697,598,416,982,554,
582,953,504,655,560,681,364,715,285,847,187,869,716,184,026,110,635,669,935,
575,722,324,927,617,620,699,636,047,467,866,420,033,984,684,658,215,910,597,
559,929,076,632,497,113,995,889,517,957,441,035,842,278,355,059,672,023,415,
573,305,179,193,751,586,306,965,718,878,308,739,398,090,950,331,099,236,607,
487,915,954,168,242,331,458,178,992,637,198,406,265,700,465,388,418,921,628,
713,889,998,655,584,940,513,101,601,320,883,313,309,765,483,736,779,378,206,
001,886,391,365,404,642,772,555,627,391,507,283,396,978,456,401,721,800,426,
609,192,381,817,545,457,526,503,254,153,571,798,784,081,919,653,515,411,777,
761,051,766,091,940,623,371,170,402,850,053,103,921,787,806,046,679,510,511,
242,168,027,368,688,920,154,403,655,537,300,840,141,735,409,303,142,451,552,
770,021,525,527,939,969,353,709,410,044,587,577,982,514,877,086,358,035,602,
981,859,893,574,590,460,260,620,519,098,032,823,286,822,188,709,313,155,538,
796,219,871,650,908,857,074,460,584,690,372,558,404,207,280,221,602,830,040,
212,088,547,288,465,000,407,851,410,610,751,512,135,107,101,335,097,966,537,
505,784,179,968,078,591,404,598,575,683,653,222,048,057,195,841,802,894,533,
032,776,332,482,584,353,080,726,530,074,349,076,106,722,002,471,907,563,146,
772,890,656,056,930,354,362,807,181,989,115,431,490,816,801,911,177,535,195,
522,516,753,783,695,132,946,542,060,824,775,418,316,779,837,554,551,898,040,
019,996,089,727,510,728,665,705,185,470,692,103,218,591,382,874,786,872,408,
612,470,302,887,009,882,364,182,934,264,364,461,990,156,200,891,843,285,302,
175,271,714,810,159,902,273,658,581,593,482,591,472,873,450,909,559,240,886,
358,060,850,008,651,731,404,464,423,624,508,371,428,793,348,372,448,272,862,
572,935,341,538,579,360,123,485,438,633,396,876,054,351,752,506,368,831,700,
249,839,750,890,284,520,461,118,155,831,949,797,473,749,374,718,493,454,221,
686,371,514,127,580,982,171,331,943,447,894,467,355,228,277,470,237,979,231,
020,325,961,499,632,600,972,911,457,573,006,424,295,379,091,752,424,440,772,
158,178,945,117,927,657,863,002,895,711,825,648,942,115,358,137,767,277,532,
285,170,657,311,600,961,913,000,808,157,359,618,766,046,699,138,860,132,104,
573,471,280,206,071,708,645,158,512,333,542,556,267,976,079,913,540,349,002,
367,592,352,144,558,205,311,418,184,602,813,890,765,459,325,543,757,665,864,
537,815,135,839,360,652,640,638,273,140,215,948,247,105,987,147,017,584,767,
839,469,734,000,981,884,587,284,650,063,208,376,066,474,072,887,856,588,120,
766,791,048,145,269,757,643,139,780,340,786,875,318,665,587,675,277,878,230,
153,121,529,445,587,740,082,445,389,611,198,522,933,820,697,453,087,078,149,
587,533,247,949,798,374,211,337,099,126,231,442,028,271,584,334,847,000,648,
005,981,742,192,808,459,093,906,581,540,264,028,245,332,246,010,749,724,868,
689,449,072,096,307,270,215,832,202,956,932,074,909,271,190,467,472,675,110,
151,997,962,468,428,427,022,625,944,016,559,363,625,349,593,771,828,457,856,
428,561,190,599,265,133,241,772,372,159,473,670,816,458,357,559,114,145,754,
652,048,902,379,426,383,942,755,607,396,887,106,369,517,977,820,837,423,544,
397,623,843,688,591,021,613,345,093,666,423,366,042,064,349,954,748,129,917,
665,426,435,319,453,852,815,843,706,641,909,721,744,561,675,843,483,234,304,
808,922,405,897,897,440,901,883,810,272,234,776,992,529,329,909,296,225,866,
613,749,760,681,224,192,878,777,876,846,565,248,510,500,196,068,354,141,242,
232,257,312,411,886,053,424,975,310,327,102,271,203,404,924,008,516,210,622,
283,579,365,525,117,118,726,379,531,911,265,592,243,038,030,797,557,573,939,
436,298,661,955,962,403,067,802,016,101,454,701,969,562,645,250,391,824,573,
699,116,755,992,181,168,665,729,522,310,842,886,383,325,976,818,392,964,547,
488,572,151,625,603,125,455,628,084,348,481,611,421,509,567,290,881,775,254,
042,551,220,019,882,813,137,304,528,314,974,571,615,335,626,882,714,183,360,
733,388,206,998,370,627,706,955,298,959,512,279,404,502,978,506,276,708,963,
463,662,779,184,294,291,610,453,019,273,280,161,678,635,914,280,651,357,510,
838,846,951,899,159,945,069,391,371,695,815,311,843,989,060,845,252,984,224,
460,972,900,004,681,004,255,811,962,410,079,220,205,582,903,572,933,985,611,
500,892,714,647,822,543,626,758,582,457,950,308,266,147,376,640,479,690,389,
600,699,984,390,871,097,282,913,520,508,925,636,368,470,433,599,465,574,697,
048,965,448,911,081,537,526,773,811,395,023,758,676,709,270,474,592,101,062,
345,154,709,471,572,100,530,977,859,133,021,345,072,342,797,234,333,457,305,
277,398,751,180,200,958,816,741,526,671,613,779,514,591,909,783,651,866,251,
020,296,736,032,505,844,143,209,595,268,414,392,272,903,959,072,083,892,428,
687,192,379,490,304,319,471,386,140,870,944,160,448,575,964,577,285,361,008,
403,973,001,846,285,352,904,005,772,882,039,376,936,400,774,893,675,220,499,
412,858,049,228,628,032,608,321,058,752,420,421,599,985,864,100,085,041,760,
328,786,637,567,221,178,497,427,209,177,678,864,143,540,336,859,910,766,408,
096,650,105,076,651,404,459,272,725,040,704,212,427,991,587,754,766,427,158,
960,924,417,448,376,938,288,775,495,711,555,144,539,038,503,955,594,015,646,
322,791,709,873,263,324,978,101,870,606,085,436,054,447,859,742,188,994,623,
300,953,657,461,640,133,571,726,692,339,719,311,820,376,470,022,249,381,175,
299,512,222,982,453,668,038,131,967,711,338,559,646,096,229,465,637,464,054,
584,285,209,027,413,786,845,019,464,182,144,246,159,265,113,581,816,443,386,
873,017,380,647,275,739,656,681,320,516,482,169,190,460,326,903,692,468,407,
702,916,518,032,848,622,660,626,907,499,384,981,518,575,403,852,278,701,369,
171,964,720,488,471,636,674,326,240,530,072,872,268,021,495,871,834,255,564,
951,566,235,786,646,871,188,683,282,576,268,692,237,955,934,449,607,045,567,
189,008,248,973,000,339,092,597,029,527,708,952,454,648,830,631,386,697,131,
969,294,256,090,685,828,356,662,117,629,929,159,675,602,687,836,746,043,983,
480,555,455,220,505,388,245,074,276,119,233,060,706,970,822,913,120,306,289,
844,518,172,595,291,814,029,623,264,848,665,473,791,940,249,907,704,556,738,
563,841,719,074,484,536,237,458,758,160,792,007,755,489,437,429,510,254,486,
335,532,543,284,280,184,304,153,542,379,156,604,005,787,891,749,470,388,396,
173,073,005,911,247,509,968,599,682,224,580,085,712,575,605,926,569,907,850,
975,044,693,087,038,635,374,502,758,195,211,259,988,755,501,493,669,593,213,
895,466,579,457,640,023,149,296,476,868,353,642,807,525,945,546,127,524,966,
738,091,223,312,128,943,177,333,983,018,349,838,918,130,283,434,662,044,799,
868,369,678,236,465,970,543,790,110,018,085,822,676,961,599,677,964,532,210,
386,068,057,275,019,458,059,585,332,995,934,038,737,052,744,898,634,458,108,
145,469,547,529,726,936,457,069,333,793,451,365,191,166,764,305,904,127,209,
693,662,281,938,094,676,544,800,605,499,188,243,466,725,669,880,807,192,505,
457,088,246,828,683,576,199,804,823,473,231,587,644,838,423,939,262,189,742,
033,984,399,700,124,085,815,049,762,403,962,094,654,377,195,592,983,356,163,
425,738,419,813,180,778,413,562,045,895,757,727,016,932,700,434,761,257,714,
990,943,271,903,477,660,607,045,267,550,595,078,934,961,801,850,878,986,728,
617,889,870,487,063,020,537,293,272,810,783,159,439,062,100,009,569,614,852,
814,731,474,816,071,024,474,012,653,365,645,806,179,510,817,020,951,286,155,
986,629,599,738,301,318,845,000,993,996,143,953,794,817,658,048,660,438,967,
865,625,495,497,794,867,570,384,966,867,157,788,522,227,469,601,142,998,675,
935,218,067,036,122,877,879,509,757,068,100,877,888,745,333,528,420,162,369,
068,103,939,230,673,379,654,629,585,370,660,002,333,235,860,265,336,312,706,
687,194,318,947,423,795,469,160,749,826,504,494,786,025,875,263,731,512,907,
263,967,473,371,745,839,456,159,600,471,396,994,860,444,478,605,694,335,857,
180,696,790,613,355,000,819,405,896,787,850,721,191,172,117,418,647,848,399,
816,915,065,465,929,962,074,378,117,997,109,372,109,418,980,678,210,096,356,
997,211,264,484,916,682,187,015,505,205,396,965,716,175,974,143,751,887,041,
650,707,611,131,038,872,154,059,403,175,947,421,024,554,198,815,799,534,712,
295,786,406,043,119,563,561,644,845,302,070,884,840,659,261,766,289,146,506,
535,051,163,539,546,109,599,017,924,782,113,063,431,759,211,746,051,825,567,
498,013,041,349,174,574,089,401,696,576,217,019,165,054,142,202,885,343,673,
898,422,002,186,939,220,944,396,718,564,745,674,134,025,832,852,690,990,416,
122,418,188,145,281,409,213,073,922,774,077,404,172,152,551,921,930,918,105,
137,260,207,360,779,423,288,925,909,136,977,630,129,428,940,966,878,646,307,
234,891,503,824,545,938,209,091,473,156,192,440,911,840,212,941,946,906,003,
810,827,338,045,073,346,664,649,302,761,337,453,089,720,443,751,714,723,048,
769,214,018,223,110,365,068,195,703,121,900,762,273,408,635,104,883,764,160,
673,656,064,784,030,481,218,964,427,310,415,032,460,801,811,982,867,631,222,
711,293,060,096,248,673,403,646,993,933,029,266,845,175,830,605,425,121,989,
979,772,699,080,817,909,631,279,059,720,582,643,345,278,501,974,824,726,167,
957,108,743,292,738,980,016,237,680,525,430,995,184,125,362,925,669,283,496,
055,454,783,578,280,415,163,913,621,211,256,509,140,342,262,001,928,207,086,
427,428,846,328,998,860,278,966,904,672,790,930,793,917,586,014,384,276,761,
952,533,630,196,715,464,732,637,768,517,507,552,883,078,569,572,854,277,989,
589,704,869,653,919,505,852,964,175,737,466,017,350,615,461,162,506,236,807,
321,447,914,559,283,761,095,695,356,225,347,373,088,904,127,384,282,135,700,
287,723,424,989,795,644,634,514,624,423,815,008,443,602,941,822,286,871,345,
630,908,988,279,100,946,068,744,423,785,556,908,935,854,190,506,838,111,613,
320,788,992,761,876,099,326,105,094,785,296,213,224,923,481,598,794,639,827,
455,514,464,170,837,165,210,311,580,771,517,685,638,802,597,045,414,033,821,
137,908,456,331,083,122,684,001,825,163,444,735,362,352,657,794,359,645,319,
174,284,608,744,461,652,046,863,678,425,279,879,336,806,677,516,967,243,591,
847,206,986,552,623,440,340,279,552,722,899,846,687,421,619,234,318,884,219,
904,836,234,718,898,738,692,479,412,180,297,668,423,339,510,825,527,422,159,
113,918,207,167,002,095,543,118,202,524,953,236,182,133,677,909,096,784,056,
996,180,538,388,454,807,196,281,164,734,259,694,755,984,644,041,749,697,775,
392,384,064,246,075,138,639,006,646,252,797,507,805,511,667,093,901,531,912,
746,114,008,114,188,781,089,911,989,818,442,428,913,013,581,432,154,686,404,
024,389,927,259,438,663,126,696,997,459,276,678,143,423,011,003,052,563,931,
709,459,901,427,995,065,592,719,893,635,980,071,969,060,372,232,736,971,903,
030,169,402,820,652,551,473,083,708,862,405,098,996,253,202,624,755,499,602,
610,683,435,415,513,520,214,999,212,121,662,710,246,735,611,358,523,692,747,
088,767,144,042,175,540,625,079,169,306,506,694,109,247,116,875,033,707,882,
490,620,750,675,904,944,260,601,975,842,133,330,128,009,646,599,631,812,566,
352,112,019,225,224,747,417,943,958,246,433,611,057,462,776,374,209,612,681,
032,264,759,230,331,593,633,743,256,399,102,299,858,516,657,317,892,791,021,
423,709,223,692,177,088,204,031,592,554,703,714,810,579,907,722,694,848,354,
753,655,390,208,184,881,874,845,214,335,771,271,504,647,261,908,726,011,301,
153,882,317,857,830,435,226,724,618,163,184,780,355,921,040,574,020,089,392,
654,102,345,109,862,358,858,686,820,131,050,575,295,842,605,528,252,714,385,
123,369,045,095,181,438,387,549,043,810,208,151,352,482,183,846,480,436,655,
245,805,362,835,568,306,834,729,771,771,035,149,299,331,432,076,138,564,445,
492,032,619,406,815,370,496,475,908,750,614,715,281,730,729,367,620,150,778,
800,697,227,635,401,679,845,648,442,084,896,086,005,970,774,040,933,640,756,
660,720,510,780,489,588,860,321,705,649,807,589,944,149,646,272,470,308,264,
070,363,020,817,556,290,671,512,680,830,447,378,057,796,570,129,672,837,547,
120,844,795,495,756,348,049,921,412,051,879,420,919,551,080,904,694,868,670,
211,986,385,778,235,431,178,662,738,189,211,705,173,077,453,986,346,118,187,
918,024,478,597,257,131,569,277,013,570,963,545,369,463,822,570,617,514,047,
355,642,373,460,386,691,859,974,806,669,300,670,484,184,851,412,951,635,104,
334,769,771,090,541,071,076,094,619,578,010,780,838,885,422,649,748,838,386,
400,085,301,242,670,114,331,986,754,004,045,117,100,171,250,733,748,258,103,
725,355,430,238,677,830,930,889,130,836,513,578,252,335,552,623,156,913,068,
758,485,132,547,084,895,859,113,827,728,915,826,887,659,451,725,913,609,536,
008,409,282,519,688,151,283,151,455,203,075,479,508,278,835,851,161,812,903,
637,236,046,627,976,343,215,356,189,700,665,431,900,080,818,286,457,992,970,
078,904,206,059,098,895,457,808,867,768,790,659,112,376,516,181,566,370,935,
337,515,922,379,922,900,420,568,593,669,775,006,918,297,494,365,020,809,310,
373,415,790,959,862,447,070,561,393,212,947,369,748,772,261,894,892,369,029,
456,257,404,217,126,858,580,518,295,176,310,087,543,972,495,059,831,214,252,
112,591,916,331,442,929,400,887,448,347,498,975,322,804,851,949,290,814,804,
831,177,999,730,148,433,802,992,225,269,948,652,375,683,954,839,616,905,815,
450,217,062,658,268,637,611,344,997,005,294,566,541,069,272,633,971,906,792,
903,026,198,522,841,790,959,097,568,912,567,181,734,646,904,160,901,822,069,
247,618,110,738,025,013,468,364,461,557,533,623,414,706,571,868,911,439,273,
497,211,592,109,413,153,535,234,359,029,883,185,152,009,657,494,368,195,775,
263,108,349,930,943,422,912,772,818,345,928,101,982,045,848,133,387,144,067,
110,518,511,206,935,098,160,789,858,096,823,139,652,396,302,017,317,771,509,
521,196,609,892,309,515,224,296,051,850,382,649,543,251,130,194,344,133,887,
036,920,420,300,961,526,225,228,162,454,864,425,703,741,055,180,947,575,571,
908,583,012,708,021,767,444,979,882,047,571,131,344,689,847,986,820,228,063,
098,099,708,024,157,689,527,348,760,757,785,236,078,455,008,755,211,246,122,
128,286,784,525,760,189,615,674,768,030,238,078,717,473,297,004,835,087,549,
031,931,013,313,599,421,694,247,126,332,550,230,483,811,789,169,885,804,703,
468,228,514,122,896,741,496,907,455,020,313,774,831,004,367,327,033,174,457,
601,053,340,122,111,195,685,195,104,468,529,646,287,213,338,494,803,956,529,
352,275,764,685,493,607,384,431,017,828,291,001,983,760,916,777,208,806,985,
870,478,919,337,681,187,189,970,816,748,566,287,519,323,272,468,198,622,159,
285,842,725,930,146,435,698,851,202,520,619,633,960,721,070,348,921,977,266,
022,486,178,051,010,181,696,504,807,350,730,516,439,075,129,988,921,062,617,
652,393,527,544,970,870,971,039,149,179,413,168,980,585,211,764,400,968,538,
983,402,395,845,220,056,201,188,057,440,132,239,909,046,640,133,277,926,011,
151,018,558,702,824,466,763,864,543,576,971,218,857,130,292,359,146,828,510,
629,102,354,349,056,877,650,803,583,174,418,430,690,886,307,362,949,077,469,
006,181,906,325,647,094,976,473,435,946,353,357,625,464,031,517,558,065,650,
153,298,494,859,280,057,328,028,625,526,031,356,538,366,318,995,775,737,791,
705,104,955,306,578,708,574,387,303,945,288,971,857,532,497,102,634,339,179,
641,521,149,952,703,770,277,482,399,910,072,634,923,411,154,418,696,318,595,
637,983,004,762,276,003,932,870,816,133,990,958,678,729,235,985,235,740,369,
641,487,982,683,812,319,274,569,841,839,800,749,961,414,441,218,520,380,980,
966,307,619,657,752,182,255,704,195,751,990,442,616,630,405,178,848,059,431,
290,808,681,075,140,152,472,549,356,922,280,366,994,042,137,399,136,119,605,
451,392,120,377,221,609,828,516,258,410,703,532,273,224,517,428,307,134,851,
701,293,610,730,607,882,772,913,327,659,422,386,627,276,362,074,566,049,358,
787,324,842,939,936,141,132,609,711,207,322,663,194,430,106,299,169,495,024,
027,999,990,163,518,258,842,729,099,572,226,480,083,720,925,668,052,314,423,
737,257,469,645,068,803,406,465,976,289,485,149,782,498,945,676,641,980,637,
051,722,314,467,817,230,313,438,182,940,398,076,248,839,766,001,353,078,833,
787,944,535,297,484,073,315,527,291,982,205,357,413,639,331,271,735,450,936,
771,398,888,324,522,077,098,107,454,084,093,165,168,036,880,345,587,762,929,
587,988,659,100,589,635,573,305,176,047,686,464,028,888,639,198,453,259,640,
231,073,215,484,882,054,942,597,580,627,932,218,317,117,871,010,720,318,350,
364,495,521,581,609,965,131,968,260,984,819,309,137,384,080,598,629,608,961,
255,098,023,052,678,060,673,839,537,701,129,499,193,982,670,508,878,281,944,
796,278,257,862,004,399,156,053,347,575,328,070,154,312,808,067,844,196,804,
164,876,885,153,394,016,640,410,344,460,926,828,883,361,362,732,057,510,491,
484,423,496,763,251,644,846,422,805,150,314,648,154,018,288,275,537,847,674,
308,407,765,056,756,667,712,755,522,545,787,340,512,558,291,304,584,475,704,
094,238,320,740,696,506,989,971,358,673,573,300,387,091,909,634,219,612,973,
091,679,116,696,363,979,660,225,750,806,128,379,763,419,844,411,611,316,496,
160,806,705,517,788,170,153,232,419,579,035,510,217,756,387,384,722,854,266,
437,794,195,869,449,940,965,403,927,258,238,760,553,677,558,746,034,975,025,
804,224,852,522,960,373,548,309,934,237,594,833,125,093,381,717,364,660,052,
431,944,315,249,340,471,559,134,390,462,027,721,383,870,254,356,018,485,270,
790,912,758,257,412,512,628,646,095,287,578,141,912,529,071,409,688,105,257,
565,726,771,656,315,477,245,929,680,591,313,468,178,599,397,128,959,004,821,
557,542,112,485,861,658,209,824,826,679,574,681,152,250,284,638,302,421,354,
370,859,207,778,188,661,563,535,619,646,437,222,020,292,227,689,476,635,785,
166,801,665,050,370,967,344,901,795,031,864,108,786,299,775,317,627,620,765,
552,077,040,980,789,984,486,401,624,531,719,186,547,761,182,388,201,235,564,
478,607,202,953,708,159,989,904,759,440,186,625,104,903,001,339,269,123,578,
811,668,473,698,457,263,727,665,029,174,663,805,230,341,020,335,953,062,357,
176,098,104,821,369,610,265,083,570,398,470,603,854,140,555,874,814,156,046,
875,388,680,112,882,585,838,428,516,019,396,936,691,013,974,046,318,663,112,
121,081,568,660,626,561,052,474,071,914,080,183,736,382,662,082,604,159,447,
830,401,072,395,184,525,027,705,627,594,900,502,451,803,451,306,614,710,044,
806,008,686,794,390,422,669,974,391,363,833,056,910,149,342,572,969,648,284,
561,420,367,180,582,634,450,737,270,779,585,575,982,154,289,136,017,033,542,
077,407,876,940,228,345,051,958,699,966,402,899,884,056,359,488,032,508,453,
549,104,680,623,911,086,465,212,234,670,785,004,781,852,635,312,006,129,041,
082,279,056,024,864,745,346,891,705,188,591,712,391,462,175,487,330,998,733,
449,604,372,503,149,279,959,807,302,203,354,407,798,190,637,483,948,110,390,
524,342,412,339,829,456,576,148,122,373,429,335,826,775,388,483,743,885,681,
195,188,243,250,041,582,762,092,689,490,973,454,474,843,451,570,500,454,847,
974,039,016,204,477,146,622,853,719,483,546,052,131,022,320,634,542,300,777,
737,951,276,261,800,228,199,880,656,938,844,763,646,133,663,357,116,557,040,
490,083,490,591,051,670,142,626,608,998,233,379,204,734,142,736,034,711,984,
675,126,925,086,956,890,196,153,004,676,455,505,488,767,606,708,961,211,869,
349,415,757,151,404,976,263,319,910,295,091,812,294,391,202,653,669,836,946,
064,554,420,521,356,523,019,235,838,279,751,086,928,663,732,356,698,238,159,
217,202,352,442,719,774,928,322,200,377,974,981,804,533,221,487,120,919,218,
238,256,655,467,406,415,932,081,864,819,390,562,817,256,956,212,216,819,454,
748,956,606,861,998,134,152,569,948,361,618,837,193,500,703,901,293,779,462,
706,234,950,141,685,173,649,423,824,240,146,382,985,879,544,696,647,234,542,
990,696,328,265,736,279,967,159,067,305,509,755,188,981,726,319,379,650,458,
985,092,970,693,043,147,802,865,796,225,025,982,786,456,665,508,828,744,225,
573,689,379,059,035,118,550,804,643,007,800,934,405,310,505,292,389,491,298,
913,070,104,521,798,038,433,344,666,818,447,141,890,224,279,395,166,753,599,
832,846,268,762,036,922,264,849,562,540,709,144,216,159,543,257,833,339,747,
507,221,685,452,956,310,471,921,249,936,590,410,160,685,981,197,108,846,833,
783,856,165,675,943,204,494,032,028,618,423,540,216,011,822,510,811,397,724,
924,917,531,584,003,629,327,413,273,880,581,878,605,135,374,124,918,853,080,
503,720,772,920,534,107,289,255,574,122,326,606,006,256,594,893,251,553,597,
960,816,393,605,927,549,863,732,675,952,795,493,962,486,375,922,631,707,181,
088,198,483,635,613,648,171,375,172,237,610,971,817,695,411,230,823,505,353,
564,354,839,512,839,703,023,022,525,868,405,433,688,757,231,009,882,174,666,
758,365,499,664,743,815,181,558,845,874,991,796,169,110,682,064,618,728,253,
638,545,868,558,303,027,967,143,577,319,788,305,493,045,196,372,516,012,700,
873,027,957,699,613,697,692,679,722,668,973,978,230,297,791,461,310,031,766,
105,943,641,206,150,743,496,612,631,980,421,450,614,676,056,213,659,110,882,
994,609,047,980,677,943,296,182,725,309,030,595,413,880,838,363,264,029,371,
839,295,300,373,732,685,858,174,736,513,817,149,461,593,039,199,490,488,334,
857,461,606,378,773,646,295,825,325,244,741,266,771,394,362,062,563,670,442,
052,262,013,567,585,468,295,705,430,714,434,904,322,568,435,520,246,736,137,
417,153,960,675,429,711,663,828,577,446,905,082,114,069,829,522,939,412,458,
178,532,159,509,164,671,740,685,173,167,534,841,165,066,285,385,056,722,188,
712,712,922,605,738,388,976,772,290,219,830,770,801,068,116,757,542,561,959,
468,553,328,762,061,634,468,462,119,591,560,838,560,037,674,611,000,654,865,
532,316,051,625,214,605,872,706,197,914,027,571,680,395,482,359,545,943,997,
609,104,296,160,667,720,507,798,905,407,066,306,724,554,888,872,798,587,348,
688,472,108,647,974,871,061,176,281,950,263,653,197,403,631,226,781,076,334,
259,312,324,939,753,970,764,374,814,406,127,330,771,741,216,548,467,550,307,
858,924,108,753,238,247,217,604,023,639,392,612,230,507,294,518,878,537,862,
336,252,275,457,596,861,936,064,155,329,650,042,279,340,615,704,997,262,306,
743,242,745,722,022,142,783,487,458,390,736,474,630,511,844,986,140,158,871,
025,003,272,696,320,931,718,827,039,588,080,943,786,398,908,879,922,853,502,
343,321,554,657,625,309,519,454,721,994,948,332,487,294,605,103,273,354,869,
316,013,986,633,698,424,123,629,204,722,953,675,178,494,365,161,477,257,522,
646,686,241,901,776,534,328,812,730,254,202,679,128,355,054,686,430,844,567,
674,090,636,744,315,037,881,264,047,247,250,633,483,617,198,940,359,444,590,
234,014,356,625,113,504,736,611,795,254,452,031,885,557,335,096,585,508,459,
403,898,449,722,517,641,228,739,300,217,750,976,770,710,925,510,922,045,125,
848,942,446,713,499,902,504,448,536,290,238,072,402,403,662,870,379,013,358,
530,239,386,274,921,290,651,602,556,640,240,464,614,181,551,523,083,377,640,
507,496,904,198,827,372,942,191,507,138,401,584,876,046,285,882,451,476,059,
371,484,896,505,311,967,451,673,022,733,715,718,899,230,932,581,810,639,493,
434,730,000,285,075,310,923,299,953,322,227,555,640,711,243,363,111,345,239,
937,248,276,523,835,053,062,641,206,629,590,304,758,460,070,941,634,065,015,
253,062,337,164,342,053,507,787,559,366,162,371,983,420,688,320,860,555,029,
874,452,755,779,040,295,602,524,989,545,642,761,167,773,284,297,603,113,935,
331,675,037,783,728,022,728,178,209,424,709,928,693,372,091,013,185,250,626,
084,582,565,363,597,912,363,002,762,707,364,770,274,910,722,163,492,094,145,
152,758,149,626,765,290,686,616,855,549,102,537,117,364,746,486,892,212,905,
543,668,018,591,482,895,896,895,722,247,673,562,363,505,239,068,167,626,376,
365,481,118,534,849,099,702,164,330,866,624,608,483,532,239,547,048,207,123,
995,202,956,571,523,647,793,317,023,273,450,556,805,058,627,505,574,111,514,
110,692,502,616,523,593,013,125,478,145,270,350,168,763,421,731,519,129,247,
622,798,808,992,118,365,769,044,582,854,959,045,728,051,309,745,234,452,074,
004,144,801,106,562,894,957,528,709,170,429,398,508,935,366,870,168,387,096,
665,037,827,733,043,656,217,737,437,377,954,497,505,306,268,697,080,056,545,
355,403,590,995,532,271,012,589,430,050,214,184,560,917,007,100,053,339,012,
908,267,460,479,513,278,880,370,150,627,385,981,424,276,589,694,065,969,757,
530,182,498,787,538,586,966,006,600,885,750,447,491,505,179,138,999,151,849,
159,854,920,084,878,994,679,934,237,933,217,262,020,133,618,314,509,770,296,
207,252,030,984,568,348,276,184,872,384,561,575,758,567,133,522,563,008,074,
213,017,351,197,371,336,221,242,542,867,105,255,755,306,749,848,564,224,069,
180,172,805,310,879,265,424,448,582,570,153,786,820,353,655,712,831,097,365,
997,156,078,843,426,094,929,959,763,887,968,274,046,296,950,178,765,870,180,
329,315,338,383,079,953,215,469,548,023,612,595,919,692,307,195,357,626,606,
627,656,678,856,973,821,341,444,781,449,267,394,155,833,242,777,548,683,435,
843,999,838,351,588,129,340,071,995,365,752,235,563,637,009,251,430,284,708,
780,719,209,879,460,864,399,590,808,333,687,600,755,567,165,893,288,607,307,
443,554,996,762,833,454,775,132,486,271,182,589,111,931,869,856,366,847,374,
748,837,135,370,657,817,212,454,217,316,122,007,136,227,675,995,262,267,805,
646,165,776,927,362,695,189,230,085,504,448,917,792,723,261,724,079,202,091,
620,833,287,750,540,191,810,122,263,866,908,765,606,373,680,153,983,522,024,
782,351,167,683,140,425,857,113,741,563,393,924,745,360,611,703,075,206,854,
507,373,874,649,478,784,784,656,789,838,115,650,013,430,186,264,888,630,042,
711,735,588,991,867,658,787,031,681,218,329,697,801,797,131,567,978,244,498,
150,925,748,727,305,720,939,657,419,836,473,118,404,675,981,160,375,361,009,
466,609,102,568,867,354,648,629,870,976,677,283,811,834,928,330,567,506,567,
814,002,638,784,682,983,884,445,321,040,289,376,953,509,747,603,368,336,788,
192,963,655,040,175,419,603,967,416,825,171,934,096,026,625,081,002,904,356,
201,877,642,984,163,612,872,208,892,465,379,723,558,414,284,682,158,244,065,
464,203,834,144,621,681,802,015,492,642,659,311,403,380,113,797,598,281,065,
134,670,001,043,231,003,658,465,308,662,371,884,908,248,123,809,204,042,659,
825,087,197,142,932,926,195,339,561,250,931,844,986,538,566,623,555,765,510,
722,807,548,581,784,006,330,743,653,344,122,722,684,358,009,709,438,750,193,
767,257,312,088,145,536,674,818,570,161,318,062,580,701,487,978,457,090,156,
201,338,478,552,560,834,866,046,691,114,839,058,092,513,729,246,923,281,203,
876,783,447,099,127,610,717,811,972,193,574,363,560,694,959,174,168,882,979,
661,366,302,413,813,445,850,050,087,325,217,625,285,900,950,151,488,089,404,
636,967,363,484,549,907,353,587,400,242,363,101,964,595,134,274,408,636,506,
632,270,704,182,601,036,738,076,839,174,212,321,945,293,227,193,369,983,229,
009,394,814,473,610,034,073,922,350,296,659,116,133,289,280,143,965,567,249,
501,150,273,353,032,536,804,277,787,674,956,244,648,267,094,371,675,278,762,
084,773,247,040,621,924,318,649,577,073,803,395,650,781,660,873,139,324,938,
152,047,936,306,821,710,686,878,734,890,611,662,267,998,638,804,486,098,214,
579,948,845,708,941,480,650,843,355,861,136,625,673,053,603,293,149,308,285,
518,395,624,340,440,566,612,306,232,374,469,757,294,933,107,561,819,609,351,
051,295,239,511,525,822,170,260,739,177,744,720,046,890,557,276,844,583,661,
529,237,932,741,757,525,792,605,850,783,556,720,706,713,054,934,552,507,488,
905,624,719,910,829,184,569,908,565,793,442,946,247,154,687,379,152,585,031,
235,529,613,206,290,651,002,591,912,067,691,526,746,142,658,189,822,943,129,
418,430,113,711,498,236,746,911,004,138,645,787,449,065,451,513,351,133,609,
713,309,260,811,026,267,752,274,776,959,440,220,068,627,518,969,945,170,563,
445,072,824,837,670,134,192,639,615,941,681,487,835,042,741,281,989,965,481,
972,799,410,242,086,042,902,146,054,991,704,314,076,413,717,088,165,298,997,
756,808,936,729,696,923,121,588,970,374,602,962,204,363,023,487,480,736,396,
330,728,909,762,745,088,436,056,275,228,836,494,153,531,366,930,175,908,625,
355,231,249,265,882,120,029,973,379,670,233,134,662,827,064,791,638,599,308,
074,506,013,684,443,900,469,678,261,745,678,717,550,802,083,332,421,133,659,
135,906,661,820,467,540,776,787,332,320,830,647,871,059,641,613,122,918,190,
779,650,332,812,779,846,269,366,153,122,795,325,389,936,121,612,107,936,203,
473,269,483,104,280,282,166,905,750,259,125,703,307,283,601,196,502,240,147,
456,778,225,015,497,979,200,878,235,039,777,706,206,543,876,282,146,943,764,
611,851,000,940,622,116,824,611,521,857,733,540,086,852,623,006,656,117,270,
350,425,510,738,399,723,916,858,616,828,307,525,469,291,655,291,092,812,142,
087,341,144,423,361,273,096,650,875,191,170,337,588,768,009,167,219,957,321,
025,649,607,900,374,713,355,029,994,751,304,276,218,593,608,076,671,977,714,
143,508,426,958,825,855,696,128,257,999,087,712,554,850,726,883,161,841,533,
143,880,084,556,445,634,469,126,335,057,373,600,787,854,152,445,863,628,504,
978,040,398,328,231,807,678,103,678,149,815,951,475,737,297,331,466,402,878,
410,315,328,993,965,993,360,821,309,976,034,515,473,336,835,380,807,021,751,
452,260,031,525,740,265,228,377,171,097,799,018,453,308,001,777,487,920,653,
875,471,847,045,445,311,938,138,917,730,982,634,178,936,722,570,426,556,962,
156,887,365,865,055,136,231,860,072,751,527,243,278,004,643,904,030,909,587,
617,865,976,062,749,350,921,479,732,273,357,829,016,382,165,406,323,647,677,
272,276,286,054,673,476,164,782,272,865,682,213,573,855,041,930,719,286,571,
270,993,512,586,634,203,329,251,320,143,813,656,205,026,290,148,144,414,237,
933,957,384,906,419,577,505,681,286,864,967,976,291,581,730,616,817,889,716,
734,086,917,101,802,364,552,200,952,136,919,045,165,359,771,786,841,971,277,
596,132,792,001,236,109,097,319,119,486,444,101,353,386,485,256,086,085,345,
720,280,203,081,666,100,243,825,325,634,987,445,334,745,877,592,529,483,693,
264,181,990,676,679,529,572,224,239,245,150,172,646,707,067,730,724,656,708,
570,482,992,365,292,600,905,241,993,340,210,884,663,275,839,078,716,337,609,
185,467,647,191,149,122,959,723,353,214,302,185,294,522,718,308,843,757,633,
597,162,850,115,297,580,888,454,857,505,760,077,285,106,603,792,291,703,927,
028,786,336,546,720,491,268,065,108,445,376,394,041,007,328,922,290,138,866,
077,067,896,293,863,043,898,651,054,017,030,827,075,347,658,107,155,761,490,
082,515,057,243,888,495,376,906,475,989,200,659,126,890,011,269,375,788,565,
081,232,653,649,997,364,518,276,111,227,290,129,610,730,166,801,204,430,023,
260,321,546,009,578,970,462,398,391,033,477,465,682,277,539,408,722,021,424,
770,236,712,525,555,642,875,531,649,501,576,019,055,806,870,591,682,088,580,
695,844,777,690,004,820,361,118,077,381,309,998,803,663,821,123,183,977,027,
012,993,497,961,636,819,207,307,757,232,796,767,073,070,792,113,302,998,472,
879,684,011,931,743,704,385,312,833,924,713,614,980,195,954,404,382,767,723,
757,164,747,649,531,716,540,316,509,972,453,219,579,956,242,227,663,583,572,
373,002,763,201,353,650,399,217,713,394,174,700,689,070,691,996,727,283,750,
885,396,616,247,916,345,468,201,187,013,311,142,733,104,915,337,372,557,533,
056,374,826,447,978,876,633,534,900,895,372,531,248,110,701,351,508,338,318,
459,108,396,596,186,086,267,883,948,564,606,665,273,856,466,544,652,413,262,
398,871,849,322,157,368,770,046,338,336,587,068,718,604,776,443,432,926,530,
391,065,223,956,077,899,947,655,973,888,518,385,224,286,862,271,718,100,579,
951,696,896,223,569,646,957,384,007,339,456,850,624,476,287,689,173,447,862,
571,668,525,294,394,414,372,480,853,414,747,366,056,064,496,448,568,834,074,
299,653,529,096,225,964,967,720,851,611,866,949,268,415,861,946,187,482,517,
853,478,715,759,811,777,185,545,058,343,700,958,381,025,954,240,347,409,870,
305,369,675,009,381,383,086,035,552,866,916,269,789,045,669,194,568,249,328,
183,333,793,665,728,771,292,920,969,766,822,322,897,347,606,680,884,590,731,
172,172,208,244,031,332,995,476,306,663,058,107,689,329,116,807,546,446,582,
494,970,011,710,487,529,727,595,083,778,878,530,915,736,533,670,701,255,190,
560,996,763,563,586,727,609,098,251,959,748,572,175,248,768,794,889,251,159,
001,922,140,761,701,533,389,919,766,100,047,064,440,874,168,305,553,215,072,
386,392,736,104,928,655,465,464,892,627,714,602,103,553,118,199,478,711,456,
436,693,636,790,109,593,707,970,612,548,890,452,118,601,189,976,435,550,859,
825,042,672,536,712,091,402,165,289,867,581,407,361,889,471,491,952,501,822,
654,654,927,794,531,503,669,524,244,168,466,466,201,709,063,860,214,506,257,
569,176,866,733,888,381,889,961,991,476,277,582,367,899,508,512,128,259,601,
757,125,685,816,025,597,861,643,345,581,341,174,439,681,503,424,713,994,208,
650,025,979,248,045,124,198,383,228,770,878,613,232,430,217,177,293,211,817,
620,657,424,819,691,710,201,470,537,169,889,556,713,243,782,901,268,820,828,
255,201,973,814,698,132,029,267,258,570,949,555,648,248,151,036,548,823,690,
367,221,964,385,839,849,391,394,684,159,187,227,867,248,848,685,104,551,840,
614,725,015,649,287,395,025,938,441,378,092,840,409,732,177,177,498,134,703,
638,444,656,051,977,410,413,334,777,298,962,297,980,414,366,302,322,668,282,
337,475,608,680,691,196,163,718,865,125,396,020,062,942,539,232,923,572,624,
378,463,488,382,608,593,583,647,656,143,674,460,793,100,431,161,234,423,418,
034,679,831,744,838,124,846,091,695,308,286,974,077,358,754,422,272,357,495,
970,288,473,104,098,479,711,564,172,464,678,776,087,747,929,363,109,893,267,
491,211,128,073,068,706,999,349,159,380,947,624,024,249,839,033,765,205,417,
694,762,410,264,329,762,393,174,210,036,050,589,240,649,800,020,826,046,415,
785,759,857,813,268,677,020,959,927,856,000,039,318,450,051,327,125,738,699,
187,547,228,325,417,612,786,178,705,313,060,882,593,120,548,304,799,269,343,
268,203,244,400,204,917,583,798,042,342,686,575,708,577,548,780,868,894,249,
991,019,811,549,621,182,690,993,701,240,627,634,524,138,559,062,203,182,566,
492,729,023,378,910,635,962,035,332,385,116,203,045,763,010,594,944,380,969,
579,758,627,720,097,714,010,793,513,617,785,853,595,950,133,334,231,963,106,
614,805,315,780,766,215,878,121,466,634,344,412,354,139,788,897,704,558,506,
013,115,950,766,418,175,390,910,873,301,012,913,067,048,665,457,330,304,440,
589,319,929,991,031,882,837,384,214,387,601,556,328,793,846,949,016,800,859,
045,871,110,766,290,057,780,100,329,133,391,369,989,980,888,467,261,024,916,
634,075,953,725,885,828,776,635,148,188,134,712,927,586,060,921,257,460,336,
011,104,937,553,762,074,488,898,938,600,912,166,944,264,289,411,455,416,124,
313,443,989,224,798,080,195,336,041,283,647,905,754,505,810,314,376,207,787,
758,470,820,824,003,529,336,496,606,593,400,416,462,523,648,789,191,389,503,
299,098,890,713,787,807,144,505,497,234,993,820,319,971,916,626,394,630,419,
879,401,036,103,980,437,479,794,369,046,698,377,304,852,481,963,237,674,033,
264,265,342,637,893,911,581,790,583,374,193,636,530,971,462,469,069,543,294,
910,046,582,936,287,951,970,515,144,234,580,789,606,251,901,268,467,711,663,
664,980,582,158,580,835,362,802,165,225,362,552,799,685,763,544,188,223,683,
837,979,635,581,745,838,293,083,297,981,293,749,755,771,238,170,241,820,883,
208,862,788,233,240,453,039,279,882,401,534,639,860,030,066,884,103,330,713,
915,671,321,600,665,542,788,104,430,557,701,135,864,488,738,771,731,870,775,
082,261,463,009,774,924,064,234,485,539,077,197,304,458,961,636,462,020,591,
299,356,031,068,496,658,438,495,491,514,910,081,711,031,035,142,869,670,359,
045,850,345,305,154,192,900,539,952,805,243,549,806,015,928,763,492,918,512,
573,031,508,606,349,827,242,480,240,981,779,187,017,030,118,169,776,298,113,
598,808,730,793,971,507,141,147,170,542,319,438,842,190,743,216,863,987,729,
194,236,033,767,041,584,570,923,316,057,884,580,675,085,189,830,797,294,116,
217,963,136,260,070,414,696,434,416,442,951,491,374,202,237,856,416,853,566,
526,104,953,393,700,009,488,505,181,295,826,173,143,643,956,475,519,805,368,
964,474,882,136,745,725,597,681,376,888,075,530,240,720,535,807,169,295,292,
593,134,138,493,013,386,866,097,690,407,595,237,118,442,057,738,281,487,468,
138,701,071,296,947,869,560,858,029,380,521,406,461,273,259,907,122,972,046,
559,499,485,747,609,263,290,822,579,790,249,110,347,189,320,924,183,860,124,
372,376,998,369,789,414,353,082,057,437,107,410,263,389,928,527,934,028,227,
511,520,736,771,368,062,686,105,821,250,994,315,801,037,474,491,199,557,890,
563,082,355,288,149,338,187,792,283,352,159,604,165,869,350,987,494,455,541,
034,934,451,300,619,880,507,587,716,217,825,870,436,030,253,844,002,373,983,
436,365,050,629,304,238,511,438,852,383,819,923,099,462,605,449,012,439,563,
096,437,598,309,458,657,711,460,497,888,010,607,971,013,569,000,426,666,274,
985,090,147,158,633,195,676,696,729,321,492,951,360,051,583,249,259,860,613,
338,840,309,918,747,459,042,169,040,445,371,309,309,732,333,026,998,980,449,
499,957,791,112,152,216,444,277,684,980,199,032,221,154,539,968,784,069,227,
940,475,426,738,193,244,052,225,733,212,437,371,450,296,464,162,508,865,955,
390,119,786,416,582,709,110,200,798,117,824,131,745,915,777,437,614,448,127,
074,173,691,239,946,343,451,403,535,792,148,825,018,745,298,617,105,249,671,
007,822,030,142,149,829,993,337,616,516,799,782,951,032,318,042,853,760,185,
715,153,066,063,005,114,337,398,803,528,235,887,493,288,343,258,347,923,837,
592,893,192,562,686,670,750,637,336,524,167,792,321,641,662,207,715,580,857,
849,922,893,859,225,680,596,818,850,830,707,838,250,440,154,833,310,145,929,
762,699,871,397,197,828,712,252,999,867,308,925,836,918,049,527,717,730,377,
666,038,206,434,325,465,157,258,460,824,237,620,903,367,566,619,620,988,375,
568,091,522,631,233,849,354,985,164,642,173,018,430,777,460,085,818,897,217,
931,978,806,839,245,760,949,487,808,955,909,332,948,912,100,357,035,550,646,
930,415,123,516,911,362,833,388,075,072,318,482,225,959,698,188,867,080,152,
070,218,118,282,250,474,497,557,442,752,920,620,013,337,190,433,326,287,935,
277,593,078,421,163,389,760,159,442,971,055,501,022,504,882,065,929,653,310,
266,485,777,599,680,935,072,595,111,178,353,206,330,845,382,734,521,369,791,
750,201,222,286,604,420,056,375,179,776,312,580,752,505,015,840,233,147,638,
343,994,631,595,173,945,666,555,930,432,055,633,673,884,013,678,214,442,550,
545,248,164,513,007,452,356,862,489,401,276,178,675,551,291,189,758,195,934,
930,674,498,153,161,209,438,791,731,924,673,728,319,303,063,071,381,515,273,
781,107,319,403,164,124,742,336,816,954,885,107,308,967,527,522,137,231,684,
497,927,015,415,854,663,394,889,017,242,962,587,578,673,900,075,643,239,179,
158,434,603,031,428,368,268,775,549,837,158,146,119,654,112,334,735,280,595,
085,832,379,813,953,319,430,893,386,419,192,877,969,800,994,275,362,889,049,
650,793,598,348,092,598,003,329,657,182,122,968,040,646,193,214,753,684,114,
319,761,185,778,821,991,183,273,685,500,787,341,613,673,265,706,488,514,465,
701,058,851,824,596,872,036,551,012,389,945,721,001,533,036,078,699,257,624,
841,593,437,870,057,403,964,405,122,492,923,459,956,975,512,327,568,664,212,
322,448,327,771,999,072,889,053,603,373,061,473,059,827,480,636,609,226,219,
770,197,011,042,268,889,169,098,640,361,340,994,875,598,871,719,808,546,877,
955,536,596,407,030,592,337,322,899,270,085,042,408,923,033,586,699,038,723,
029,454,128,784,928,048,058,973,037,946,130,970,318,765,636,810,375,242,489,
947,026,484,329,364,759,954,903,644,702,278,904,949,327,333,980,727,951,349,
399,540,217,994,626,882,151,666,830,490,922,236,547,525,383,625,205,113,753,
530,648,447,541,212,973,949,073,722,039,351,869,429,926,338,855,461,809,311,
272,461,726,988,285,711,861,955,398,657,435,351,430,875,994,927,371,452,167,
701,267,458,047,287,292,791,477,734,452,435,580,192,870,704,087,449,545,182,
326,280,190,949,754,503,502,676,019,562,112,593,232,364,956,595,825,679,413,
959,251,919,113,897,126,551,104,530,287,568,846,474,493,058,227,254,044,783,
926,088,619,027,315,523,147,982,978,707,741,901,408,481,589,343,037,550,092,
048,380,826,951,218,290,917,843,266,105,629,021,473,580,615,446,892,239,962,
305,586,677,315,074,506,571,756,331,505,787,217,003,876,969,693,546,639,949,
250,447,561,946,477,357,990,217,632,018,378,305,785,868,433,925,135,166,437,
325,042,945,179,403,638,504,586,323,510,365,341,913,830,817,081,362,058,052,
427,194,204,885,233,431,106,430,148,886,653,372,649,379,205,882,884,706,896,
035,232,403,728,760,512,062,103,959,042,545,179,856,649,784,526,073,621,506,
792,763,630,484,432,778,429,656,040,345,996,911,782,688,321,999,183,663,202,
206,270,263,847,239,284,854,678,747,744,712,946,041,398,744,705,070,093,760,
719,314,624,282,413,655,126,218,846,451,447,773,624,082,404,668,740,062,550,
694,518,352,503,130,190,440,859,885,428,554,462,992,349,566,200,087,784,238,
568,103,273,799,579,421,388,229,215,842,292,827,613,965,006,272,659,563,320,
380,349,232,028,136,817,947,353,478,154,147,286,737,230,338,142,219,774,026,
522,804,721,893,509,619,711,348,187,569,462,835,340,050,503,890,393,713,647,
379,941,965,990,206,529,707,893,901,390,207,447,024,263,245,781,028,307,657,
282,380,071,652,054,274,570,553,235,874,140,110,470,829,964,332,244,203,259,
695,835,415,149,369,456,639,379,937,137,496,837,083,628,383,338,637,327,731,
328,545,487,689,740,527,643,459,983,573,198,956,063,234,950,324,204,819,192,
843,201,241,823,668,581,646,244,665,247,168,544,307,256,771,426,347,372,041,
861,201,175,201,721,820,676,286,389,975,836,603,735,268,859,606,422,009,683,
310,526,050,479,624,448,876,246,051,823,527,628,790,446,063,427,272,990,859,
164,500,345,448,420,058,983,538,684,915,922,530,603,266,821,243,929,848,553,
317,346,349,527,181,309,831,033,347,069,703,607,007,150,113,257,102,816,649,
418,213,589,333,290,553,632,404,891,952,390,731,243,693,477,515,242,617,060,
729,594,998,369,987,707,109,867,276,019,254,872,893,999,760,131,077,557,434,
477,489,149,890,904,298,495,204,015,619,899,852,348,499,103,061,904,996,671,
289,227,723,094,813,416,104,695,220,541,024,366,784,620,674,565,926,481,425,
239,850,525,168,899,063,532,569,715,948,487,486,234,418,223,906,953,292,072,
253,145,205,947,908,526,744,322,482,032,545,071,390,861,330,476,133,724,533,
574,974,898,306,587,184,021,417,386,739,041,488,645,443,935,857,864,541,279,
974,320,741,559,258,750,935,035,324,013,777,021,294,181,451,662,055,723,401,
227,812,164,578,595,829,609,888,248,223,284,227,227,731,166,540,538,735,408,
390,959,784,338,534,811,961,798,431,033,471,214,416,482,679,267,495,312,134,
110,898,143,447,068,114,857,572,502,798,799,435,187,840,084,084,943,216,100,
709,925,602,772,928,204,212,636,489,094,658,369,086,423,013,871,752,537,551,
575,487,751,470,583,794,795,080,365,956,351,458,056,278,742,011,674,770,071,
773,254,796,199,661,671,284,434,660,323,815,980,035,354,769,720,603,105,829,
595,680,543,131,598,278,256,386,290,424,043,030,083,447,009,634,901,613,925,
870,915,385,824,132,751,206,124,854,048,608,512,460,790,064,677,412,500,611,
443,912,160,332,444,188,837,432,597,897,041,335,558,555,158,127,669,266,762,
261,886,772,531,849,159,844,183,657,008,946,045,620,594,145,182,704,272,186,
060,583,313,505,397,650,878,078,334,448,321,792,677,896,055,427,766,248,859,
942,891,677,182,437,253,374,964,025,641,765,714,365,508,215,014,272,945,985,
109,465,996,071,894,190,792,879,380,511,629,811,738,881,802,072,156,677,734,
484,052,739,090,680,089,265,134,891,446,077,238,670,372,492,644,282,064,887,
480,921,819,581,591,974,564,499,172,303,361,888,371,090,327,554,514,138,920,
038,438,499,704,397,318,319,655,113,407,371,919,240,893,342,130,650,288,804,
745,059,318,291,147,805,065,444,764,442,431,285,145,105,990,005,946,625,203,
752,214,722,233,919,044,757,393,346,924,060,041,695,322,643,276,699,455,100,
571,520,063,391,757,148,200,869,917,407,150,835,325,728,463,187,901,000,139,
324,160,202,677,864,795,629,493,666,129,551,413,782,988,164,032,214,420,593,
366,408,596,959,837,014,455,847,330,589,562,702,054,821,472,661,954,411,648,
657,730,314,671,291,246,122,803,076,699,372,719,152,429,817,194,797,305,171,
084,893,827,142,543,190,675,712,995,309,444,158,465,419,840,749,693,091,037,
271,244,735,156,778,344,138,655,739,342,598,636,337,775,728,233,253,223,475,
330,382,330,659,555,292,292,895,460,721,581,157,326,361,573,500,815,087,634,
915,160,961,243,326,658,526,024,280,774,195,230,190,637,718,038,722,155,231,
736,920,374,443,645,830,185,446,091,560,957,731,645,480,008,757,468,866,152,
768,096,486,531,983,076,949,742,931,359,214,708,954,588,281,350,431,938,437,
982,773,466,705,404,171,717,532,828,537,311,727,817,188,921,122,561,919,225,
211,686,408,757,502,307,450,217,712,748,934,720,880,262,650,173,761,631,757,
595,038,182,941,235,386,606,316,793,606,207,577,080,375,613,789,566,542,085,
448,324,191,354,547,617,682,301,055,266,703,096,107,189,443,001,290,224,774,
998,632,369,735,782,438,544,903,724,482,683,934,141,738,046,609,895,862,554,
450,846,748,089,037,874,161,931,620,266,170,914,281,147,260,694,825,759,689,
108,614,033,610,902,994,299,769,231,375,418,907,775,129,633,113,136,086,845,
599,831,278,719,074,452,095,270,418,612,323,948,432,767,557,308,014,640,618,
711,164,998,484,054,830,091,512,588,750,868,381,987,020,999,213,164,911,936,
425,325,772,708,138,226,319,205,742,071,775,507,496,617,717,441,990,798,794,
302,894,233,069,445,862,559,868,938,802,542,279,864,714,585,109,374,695,272,
809,634,197,852,792,864,741,540,413,797,026,988,345,076,063,877,961,039,120,
565,685,357,255,509,767,973,091,251,765,028,693,711,873,002,055,507,670,697,
347,125,737,203,724,906,222,191,631,050,339,605,465,417,988,537,148,988,661,
923,901,485,869,672,027,291,139,008,896,715,487,241,181,030,657,362,738,239,
198,076,135,103,126,769,411,358,343,924,347,033,612,937,239,203,368,554,882,
255,422,380,826,555,233,704,132,237,582,151,532,131,784,206,825,134,683,980,
077,445,079,070,119,671,164,096,787,764,010,784,100,809,303,870,413,074,568,
406,080,752,929,472,253,407,432,681,166,340,627,759,739,515,662,068,598,142,
125,217,277,313,840,211,997,597,055,387,441,084,556,403,392,016,708,678,652,
777,648,838,421,192,563,433,925,130,888,442,596,731,501,504,059,590,178,539,
196,141,285,745,165,039,858,731,868,307,123,702,157,869,616,490,952,605,008,
569,347,981,970,682,354,677,911,902,711,754,134,572,839,748,596,780,047,703,
831,995,869,069,207,128,042,337,016,828,071,122,655,095,905,288,880,417,154,
187,102,962,820,072,151,809,401,234,636,038,955,041,615,453,982,143,608,643,
834,864,254,076,561,990,543,405,209,946,705,612,893,057,682,476,784,967,763,
260,983,020,916,872,131,260,956,053,812,420,676,678,906,200,040,219,705,739,
771,345,487,427,067,103,604,100,031,200,252,703,763,500,575,823,637,430,710,
705,597,833,541,502,912,466,042,251,769,005,325,894,650,830,198,312,175,315,
259,273,733,113,499,764,352,416,218,073,048,828,611,771,253,887,598,181,681,
255,747,488,661,314,202,847,454,655,822,371,942,043,782,899,883,945,660,003,
733,500,724,220,935,278,219,574,721,941,950,817,128,942,664,177,417,244,644,
439,306,806,284,300,336,927,431,690,673,801,083,663,616,337,136,627,615,847,
793,977,872,531,832,428,928,275,700,508,237,710,329,805,414,483,314,989,991,
815,178,547,067,264,315,475,018,788,656,999,078,633,639,786,330,576,539,447,
408,560,089,366,174,066,300,778,749,682,046,350,202,733,445,555,399,927,142,
631,875,755,864,994,180,198,551,622,132,239,760,385,833,990,700,341,185,682,
655,604,395,385,074,099,398,065,399,319,102,676,249,286,076,099,682,340,766,
211,730,160,968,945,625,163,328,492,121,672,068,565,562,191,812,299,930,903,
417,607,950,863,545,766,163,348,661,783,859,418,889,486,137,305,250,327,515,
640,417,206,810,398,903,051,170,341,458,309,793,031,016,947,239,790,519,006,
715,394,793,393,937,146,906,154,477,484,106,571,486,397,190,304,065,262,141,
501,526,371,329,127,918,793,246,261,688,537,633,138,468,244,156,447,259,812,
809,959,169,287,295,298,073,814,833,453,519,950,014,305,678,446,417,146,217,
570,049,442,905,730,373,912,986,398,882,597,547,294,443,649,730,667,786,288,
618,681,501,997,920,627,485,520,282,151,224,799,054,033,927,151,021,839,250,
837,217,559,874,478,739,531,016,920,887,820,457,149,154,915,088,831,977,956,
280,034,496,339,304,747,359,982,774,273,310,543,846,770,585,383,378,361,085,
470,366,356,144,299,246,677,043,130,047,889,676,543,211,719,178,275,971,841,
262,985,149,570,475,023,003,333,252,545,208,941,992,908,220,850,235,477,920,
506,934,999,552,133,013,188,067,852,698,913,353,056,719,375,857,428,839,323,
340,876,815,455,284,357,231,541,512,289,736,653,045,274,595,351,258,373,354,
274,932,518,302,546,985,757,241,873,104,229,825,125,293,450,177,222,755,297,
858,602,222,597,155,056,294,282,777,524,789,080,283,745,723,169,009,700,540,
807,354,671,135,830,829,656,451,170,009,328,382,471,802,132,294,591,316,658,
163,346,672,496,776,791,094,392,346,960,836,909,338,220,938,771,915,167,878,
962,577,871,601,967,095,831,745,194,049,713,905,029,442,574,608,987,936,398,
430,000,891,453,587,439,248,294,710,937,589,331,735,339,799,415,459,801,435,
786,441,478,605,331,147,791,406,891,683,238,400,682,630,611,718,871,781,605,
965,785,353,197,783,252,538,957,028,431,649,916,106,712,158,258,243,816,261,
865,877,008,707,657,440,584,400,050,062,066,515,504,153,903,245,150,010,525,
170,293,340,061,319,600,947,447,836,862,905,352,791,149,695,805,760,925,819,
164,692,961,887,045,564,671,802,660,916,699,070,020,626,070,316,403,093,816,
670,214,811,260,339,820,749,786,784,174,599,355,978,827,165,212,655,583,592,
760,223,176,923,387,569,412,607,476,948,279,562,432,796,173,961,967,635,966,
744,940,726,703,583,486,867,200,382,666,548,736,079,224,137,097,473,477,455,
569,717,766,684,839,565,259,223,800,026,930,905,211,154,940,002,991,731,167,
008,439,081,736,192,024,187,822,295,532,102,077,809,727,820,334,521,597,070,
111,172,703,032,109,905,700,620,410,296,496,506,144,310,346,188,974,829,721,
822,295,009,310,798,665,893,552,976,798,796,369,064,760,180,022,621,687,871,
461,814,788,398,983,551,148,056,875,667,006,230,225,275,334,285,932,423,134,
043,129,599,321,317,703,659,634,017,297,696,253,124,536,624,241,288,635,163,
283,320,096,129,463,654,005,158,591,854,342,222,700,363,691,947,338,794,804,
361,448,869,089,476,023,214,853,277,220,556,457,859,749,022,972,245,849,370,
385,646,280,001,816,588,260,213,058,314,671,995,197,895,447,995,801,680,657,
218,284,830,153,688,434,581,311,844,035,279,147,029,370,331,623,188,942,597,
190,423,836,340,177,912,237,893,397,680,580,295,777,824,220,978,577,644,887,
929,952,542,609,890,019,957,865,543,283,313,670,958,653,990,621,486,699,663,
395,353,559,892,635,750,859,544,056,923,157,940,558,527,329,460,485,730,203,
776,078,071,541,702,134,382,650,248,397,047,648,701,732,684,728,588,706,575,
406,365,487,423,979,100,013,419,106,026,358,906,891,016,807,519,948,250,430,
988,881,916,983,811,875,057,704,931,009,832,721,972,636,697,325,742,774,708,
948,988,274,995,937,427,147,627,329,584,480,908,550,726,002,890,355,740,901,
691,808,971,156,864,411,024,234,987,914,486,576,331,323,501,545,862,963,536,
004,477,155,198,096,349,743,384,562,025,963,586,383,838,010,404,007,908,003,
688,573,356,468,572,885,450,256,944,968,947,163,262,172,755,544,117,727,129,
117,137,560,729,142,113,564,522,017,192,882,569,287,830,104,684,594,179,373,
996,374,890,799,128,602,211,345,986,142,017,544,898,083,230,187,273,499,348,
640,221,332,204,578,804,335,539,447,810,996,265,145,848,725,134,426,294,100,
617,230,764,786,880,252,596,238,722,405,870,949,454,471,077,448,184,854,684,
269,338,284,697,481,958,258,279,959,606,777,703,428,907,245,996,281,721,666,
523,021,068,527,794,319,048,094,997,802,356,329,988,880,184,947,195,491,853,
773,075,705,261,007,199,479,037,754,303,098,657,598,685,600,695,043,591,247,
784,976,417,174,609,499,491,309,098,290,821,454,960,271,445,596,722,571,188,
949,133,371,732,111,815,796,021,009,389,124,568,817,717,762,766,342,889,461,
472,370,161,136,426,773,825,616,416,819,376,593,028,528,499,244,953,917,774,
153,916,859,314,330,469,937,105,485,813,022,749,650,397,381,315,679,768,125,
752,739,607,537,903,411,172,223,829,034,845,466,441,198,252,002,132,374,490,
849,844,295,344,465,970,840,456,555,912,735,247,761,027,366,591,833,171,264,
585,560,300,551,087,087,851,363,827,583,306,230,305,221,674,742,821,192,965,
837,498,154,926,312,981,079,663,667,035,427,802,328,236,562,553,264,768,541,
684,805,590,478,691,167,001,745,861,657,405,478,270,221,348,725,069,908,944,
897,957,993,763,649,231,141,060,370,572,171,860,113,818,868,754,083,344,072,
191,917,662,836,629,365,709,705,831,264,752,859,491,297,574,264,231,611,752,
424,314,707,197,621,648,617,882,443,091,258,509,662,312,369,358,788,499,686,
209,156,107,405,228,128,133,152,553,101,240,346,588,160,301,331,522,277,596,
921,114,971,882,993,112,446,815,596,203,350,938,233,731,202,008,860,867,895,
877,663,174,833,011,625,194,582,895,478,397,422,914,909,904,045,379,949,705,
410,219,641,622,712,061,255,584,799,321,909,504,755,662,100,373,390,738,555,
770,758,298,234,059,109,387,965,501,517,096,363,010,109,036,330,816,785,530,
609,774,930,383,696,620,936,216,514,834,260,532,097,744,852,372,353,980,658,
074,524,530,658,617,583,774,367,286,185,705,505,141,823,695,477,678,810,454,
902,685,141,849,850,205,403,336,814,782,518,848,934,692,389,105,484,621,597,
520,749,496,454,737,385,748,241,560,486,992,194,897,630,373,397,278,887,296,
935,424,514,559,388,456,610,569,112,641,927,245,828,556,445,456,731,875,528,
877,255,957,827,359,297,062,353,359,256,918,147,901,189,419,206,716,250,634,
961,489,210,593,025,717,677,606,132,639,668,736,497,785,720,003,466,172,159,
113,321,578,628,641,898,279,575,173,997,347,879,536,820,617,440,424,859,893,
416,824,914,528,790,937,957,833,526,275,984,960,540,565,104,855,241,881,963,
897,384,527,299,854,691,021,120,238,729,761,368,599,156,560,666,748,216,055,
377,096,006,012,271,962,494,207,105,859,297,917,192,944,063,756,516,402,436,
557,371,433,339,437,235,091,695,397,425,510,333,291,762,259,854,103,407,019,
138,967,964,820,517,633,091,920,685,572,480,625,158,983,070,748,293,137,286,
674,849,959,149,007,165,080,044,957,674,425,411,256,319,363,704,844,670,087,
292,120,073,450,393,405,392,418,756,601,044,034,996,954,286,237,229,061,205,
094,179,814,282,653,000,922,928,848,509,939,013,009,100,888,898,313,225,501,
237,868,521,942,304,907,644,838,333,302,008,515,523,795,881,504,711,850,487,
169,280,471,249,632,728,718,762,249,671,679,848,818,411,221,122,202,502,501,
528,590,304,704,683,784,510,502,177,798,606,248,432,186,196,079,580,140,990,
129,824,395,349,719,356,001,515,182,571,070,013,476,494,689,030,458,472,850,
076,277,470,953,668,074,250,276,388,789,792,796,292,730,587,130,076,572,105,
877,504,490,191,672,814,619,331,077,831,294,546,675,316,313,047,590,044,038,
245,714,603,846,394,934,285,691,773,654,753,024,597,554,916,856,157,873,398,
760,277,972,170,817,893,227,577,897,356,371,069,115,594,581,616,747,875,511,
810,352,364,000,613,929,454,813,662,695,724,567,375,771,803,491,737,563,572,
693,729,467,559,146,946,684,996,029,782,775,213,135,039,476,601,152,464,194,
117,217,627,188,620,952,614,935,760,521,765,384,478,884,182,169,995,122,530,
000,681,097,098,355,260,698,828,850,267,633,390,988,277,631,612,777,891,135,
860,455,237,682,755,311,466,880,765,306,442,556,015,962,557,306,060,816,427,
989,641,914,608,747,413,110,439,570,152,017,585,745,565,050,479,508,901,733,
954,988,057,215,570,221,005,363,560,135,113,585,020,206,268,199,624,880,452,
929,776,093,946,764,984,899,145,378,214,504,892,549,768,247,420,918,484,070,
563,015,404,886,880,630,807,156,950,102,633,465,400,182,517,954,536,741,062,
356,755,530,757,272,137,803,694,677,925,640,820,918,569,248,600,700,255,732,
530,747,205,059,190,623,874,835,275,002,982,520,732,749,225,561,524,212,904,
486,108,905,619,211,154,584,563,701,364,469,031,131,973,036,086,018,145,905,
469,130,031,374,472,843,830,957,377,338,455,799,836,476,982,279,944,659,991,
066,361,304,073,915,075,166,852,805,577,318,450,388,623,042,527,018,920,019,
789,798,886,819,197,760,046,695,293,707,488,966,267,612,234,756,220,945,142,
205,203,437,742,971,747,560,173,669,694,049,919,233,641,828,404,172,640,907,
034,266,946,913,973,096,143,351,090,853,618,188,252,724,637,697,750,730,478,
676,502,679,666,985,728,208,280,779,410,818,482,098,760,226,474,495,997,926,
342,604,227,235,778,100,673,150,786,173,915,726,100,594,076,307,587,196,514,
060,869,238,689,766,558,082,533,448,808,007,861,854,552,220,860,211,621,382,
359,725,772,181,852,358,448,235,480,700,565,196,512,294,139,128,082,655,615,
772,840,029,179,284,828,498,323,036,725,143,515,048,746,747,030,326,040,120,
701,862,233,535,187,283,637,710,656,105,734,992,210,161,618,692,352,319,277,
634,932,296,871,480,128,760,751,365,180,948,907,989,320,990,687,294,744,892,
555,458,846,181,685,620,602,637,830,970,398,229,638,402,984,018,425,975,715,
121,380,831,775,183,773,324,820,910,414,456,815,568,983,876,216,594,238,025,
100,485,354,413,204,207,216,431,108,583,648,420,703,606,537,739,698,569,022,
025,253,897,176,308,682,704,767,705,640,170,924,971,930,078,579,949,199,107,
832,234,758,276,398,309,991,266,101,227,515,697,372,226,460,001,683,270,564,
537,713,027,379,192,388,154,608,269,977,229,575,898,350,191,136,495,376,860,
965,669,375,151,592,652,850,515,766,183,045,603,261,968,089,838,647,690,590,
681,430,585,934,962,834,443,664,303,413,110,874,332,556,959,187,322,338,666,
332,205,089,356,685,578,248,102,092,490,004,537,773,561,682,394,828,855,351,
836,927,538,315,338,892,964,994,779,807,188,783,304,874,185,140,767,286,485,
483,575,773,185,243,030,373,498,525,598,420,894,388,090,863,215,915,732,027,
262,726,711,114,055,721,605,760,127,601,044,397,004,742,968,328,782,626,053,
327,099,366,504,537,160,061,628,416,095,806,480,173,541,085,071,846,351,271,
371,469,390,562,661,431,824,498,223,290,425,606,267,851,763,939,771,971,321,
867,580,904,809,288,596,906,359,061,321,358,587,243,919,878,158,596,965,109,
677,856,426,101,990,695,324,740,858,641,678,891,246,417,271,188,736,143,894,
190,808,286,498,526,497,959,236,356,094,256,728,107,267,363,229,776,678,567,
805,823,378,635,579,941,324,160,463,702,025,106,974,166,111,130,472,458,715,
368,971,286,053,080,874,653,827,660,345,327,715,049,165,068,980,395,465,611,
174,294,464,193,561,679,565,934,910,827,381,898,719,313,468,687,749,991,693,
192,694,553,908,617,804,697,166,613,943,949,796,299,209,441,832,406,838,527,
176,682,359,889,774,680,206,725,643,696,829,592,593,678,122,614,425,756,571,
048,701,488,563,337,928,531,706,326,308,535,804,531,759,001,904,514,699,089,
908,454,321,935,538,208,561,272,035,911,808,093,292,831,075,256,218,083,273,
747,038,295,483,974,336,414,729,730,009,535,261,183,230,028,198,164,417,210,
422,724,333,222,028,524,930,504,726,856,092,817,012,652,488,232,356,322,258,
311,847,180,971,562,267,670,179,017,563,241,587,451,564,037,634,651,259,244,
124,352,339,305,868,701,001,936,393,992,752,223,250,098,772,638,925,879,022,
723,685,469,654,971,903,555,116,089,481,846,179,851,617,541,989,395,482,679,
372,524,049,223,101,805,817,481,367,916,159,822,497,668,078,546,071,655,573,
621,026,990,208,180,389,792,964,998,943,116,013,832,690,102,193,766,969,802,
698,713,116,689,982,272,317,767,638,398,910,260,347,137,773,358,272,187,190,
488,154,972,667,652,551,320,027,875,376,217,831,264,001,629,349,602,779,052,
489,222,446,184,185,216,832,986,363,908,346,180,270,018,686,590,489,613,988,
166,690,974,693,295,097,422,802,463,151,381,574,560,925,536,877,275,633,370,
513,379,112,366,359,257,307,777,309,500,639,278,783,566,541,736,125,750,602,
780,987,001,137,161,710,494,041,350,844,936,015,794,895,198,717,337,640,246,
704,506,147,022,298,722,977,330,490,345,832,441,649,247,892,254,357,911,477,
521,193,279,426,934,355,795,117,611,678,100,405,208,615,902,269,193,801,394,
101,534,916,581,901,909,772,301,806,853,769,031,601,063,128,281,574,176,191,
723,237,626,308,268,453,424,273,506,385,984,843,474,422,254,978,774,975,262,
363,143,041,513,688,262,162,580,602,667,186,165,523,917,524,140,003,930,615,
357,590,199,786,631,637,952,155,836,272,676,099,853,384,517,759,536,009,706,
642,605,664,865,620,057,178,001,434,807,513,239,024,161,638,260,654,185,554,
289,633,560,213,821,958,316,138,476,127,149,093,463,315,224,967,661,048,038,
744,298,485,983,780,779,438,740,354,613,307,831,295,476,694,676,199,428,227,
030,338,091,766,059,326,462,202,439,483,230,708,052,009,654,318,837,230,199,
221,902,629,937,952,800,320,256,886,963,861,213,474,484,144,307,340,413,582,
426,021,428,776,255,778,084,285,535,235,327,181,975,282,390,998,284,473,336,
306,997,746,514,591,267,061,840,667,181,634,986,394,574,757,926,986,687,591,
221,731,632,759,251,990,334,496,336,092,144,545,893,625,102,401,429,312,408,
173,783,827,296,716,984,383,930,361,607,527,896,705,099,666,164,288,750,811,
564,194,822,125,682,104,886,270,030,587,151,932,953,478,829,358,429,626,864,
029,456,650,471,040,801,590,542,660,873,778,459,111,643,956,018,105,900,781,
958,847,589,377,632,003,129,514,432,872,340,533,920,343,560,720,717,603,325,
149,083,994,192,325,399,190,741,505,883,202,365,621,649,426,684,167,594,623,
363,952,262,902,680,515,866,892,652,930,357,724,195,919,085,340,542,195,627,
789,913,151,398,697,783,368,601,410,207,419,983,350,650,102,852,010,151,086,
969,952,560,816,693,499,017,374,062,753,819,200,390,472,204,399,401,065,603,
007,832,153,029,045,808,977,032,515,308,659,856,293,389,178,457,070,135,668,
262,397,587,626,829,700,712,381,952,327,329,343,909,164,437,174,933,984,386,
245,335,329,139,178,974,752,097,351,029,635,699,856,853,951,072,764,301,154,
371,696,223,661,818,624,287,544,349,884,972,350,522,407,866,374,936,462,102,
948,732,822,434,883,986,993,314,353,913,525,986,078,345,553,096,454,665,085,
921,495,968,909,675,457,474,846,586,286,222,265,572,428,991,258,959,709,488,
891,628,445,461,386,248,806,925,405,484,619,852,908,923,421,640,715,808,470,
948,021,917,401,491,637,094,114,907,489,606,369,958,664,084,303,400,451,542,
717,785,175,800,028,104,580,067,160,194,199,842,044,251,128,370,637,097,797,
224,744,143,796,752,041,060,781,427,647,095,943,207,976,902,748,484,180,589,
124,225,738,378,595,802,877,711,316,065,429,448,189,599,214,778,630,421,852,
993,454,672,717,070,361,188,355,623,063,342,172,186,308,957,514,620,016,789,
434,465,753,586,692,619,791,266,741,049,208,116,787,715,961,927,011,105,294,
680,448,224,147,592,866,937,568,281,718,591,444,743,981,618,073,233,243,047,
193,541,103,211,959,953,529,600,681,809,356,162,465,754,325,584,019,885,276,
087,679,157,414,237,709,789,336,120,370,674,389,378,104,261,443,311,734,848,
855,666,440,156,686,202,262,676,771,537,660,065,150,819,981,375,082,571,213,
488,992,041,168,192,412,918,825,281,491,587,923,637,643,888,679,123,626,945,
214,093,387,099,172,587,460,038,398,346,619,864,756,907,042,008,024,902,091,
665,870,667,140,238,395,795,701,045,482,375,970,498,405,278,767,460,394,664,
234,902,942,815,245,043,088,391,463,996,202,346,750,080,421,211,581,191,353,
413,706,893,636,925,876,330,701,021,249,425,306,158,926,677,240,521,907,632,
879,205,150,139,220,721,679,871,607,527,007,132,621,310,210,051,157,803,717,
406,171,736,594,218,345,009,582,207,025,353,799,296,322,309,969,855,858,011,
950,954,963,170,136,965,756,426,238,067,064,410,827,126,563,732,930,426,456,
123,337,445,597,308,243,339,330,934,399,995,580,792,187,923,282,510,838,084,
226,974,179,653,462,218,819,413,236,058,159,404,368,923,734,842,366,066,362,
943,228,871,302,666,547,036,471,718,628,065,211,015,044,448,213,778,821,910,
739,785,980,787,814,977,756,834,846,967,785,926,787,325,875,439,683,235,531,
693,211,379,276,452,550,265,894,582,565,281,267,032,561,027,079,594,594,537,
516,560,012,460,942,378,791,403,930,771,857,142,358,128,613,995,801,284,047,
416,018,085,100,026,208,637,422,774,536,142,114,987,643,104,278,274,182,052,
735,502,593,591,442,356,212,465,351,324,393,021,697,864,137,797,089,145,334,
481,931,091,426,474,062,070,678,736,546,974,005,721,354,218,445,128,443,514,
560,765,887,240,972,433,984,988,893,297,909,702,022,332,845,699,780,915,260,
053,459,752,443,702,194,484,299,133,559,473,832,401,687,123,733,889,728,374,
545,962,880,953,757,106,871,034,952,864,318,113,541,077,738,988,890,825,681,
814,846,047,923,874,119,120,233,697,504,735,936,504,460,563,613,516,297,133,
019,004,660,411,185,211,997,646,313,063,945,567,662,005,284,971,279,772,646,
472,724,338,515,658,830,021,634,812,160,506,096,377,512,809,696,280,517,178,
796,874,001,186,627,739,395,326,874,016,752,883,375,460,608,714,017,824,793,
877,267,875,307,711,898,549,131,216,780,590,381,867,457,407,614,675,654,773,
103,519,109,192,186,814,201,717,533,069,256,022,903,393,881,946,793,797,828,
695,948,133,888,681,976,791,158,639,265,352,167,772,478,826,655,724,753,822,
682,599,112,598,468,613,431,257,341,837,183,015,125,099,701,026,881,906,788,
323,973,178,453,650,438,981,514,192,174,264,157,081,368,897,164,872,465,239,
494,378,156,980,180,168,498,619,999,360,941,229,020,031,421,425,969,437,357,
334,905,510,509,134,283,182,129,841,287,855,357,980,224,587,953,817,898,641,
496,598,825,924,410,188,834,501,478,569,504,664,640,771,259,932,137,731,807,
558,649,256,915,574,027,009,695,484,909,153,056,220,633,754,364,537,162,323,
373,444,454,865,769,505,819,453,749,515,383,839,432,890,620,487,074,161,194,
042,812,073,589,349,259,811,236,132,701,535,335,227,938,687,536,212,541,622,
568,643,807,687,339,812,748,091,164,168,474,898,004,742,077,327,020,157,008,
346,878,797,363,912,830,916,142,549,358,126,237,162,728,973,127,273,173,083,
031,206,590,624,441,528,222,994,187,892,381,739,805,412,919,517,329,116,918,
124,155,846,410,914,501,128,455,288,433,386,378,949,512,368,137,594,162,197,
685,008,855,770,210,869,360,538,582,017,071,109,962,739,470,858,368,951,188,
622,911,900,936,034,956,244,847,910,898,426,744,429,926,805,794,285,491,030,
847,867,227,965,697,020,374,826,609,170,721,230,289,752,913,195,757,313,374,
848,032,860,079,307,396,588,095,748,499,319,326,315,919,993,855,058,554,735,
362,308,750,925,705,979,098,569,545,711,842,426,539,644,065,394,874,843,755,
830,880,743,681,184,774,947,284,188,267,594,601,921,676,015,802,100,893,994,
502,293,785,728,186,752,454,869,329,545,543,759,434,907,127,011,720,435,814,
522,686,720,209,022,150,623,302,716,962,411,708,915,887,627,963,056,519,314,
244,827,095,438,108,625,401,536,906,130,672,753,493,769,689,623,483,595,903,
968,362,591,908,026,496,295,425,725,260,056,254,580,863,863,674,301,149,348,
615,524,038,749,741,974,549,383,144,060,454,271,681,841,532,906,992,031,898,
753,741,648,091,566,026,806,351,525,350,240,216,964,743,607,493,875,008,942,
494,075,378,535,451,823,023,280,812,365,836,594,506,312,466,741,811,837,038,
916,759,401,377,674,355,172,957,866,499,012,250,252,083,838,229,768,006,739,
431,248,502,554,927,518,642,065,188,778,272,903,545,932,091,613,433,120,801,
021,050,740,078,189,787,609,108,404,347,850,003,272,709,416,304,512,027,792,
126,610,763,059,269,758,344,975,745,865,866,407,012,445,555,256,317,947,996,
882,906,003,176,152,158,817,206,020,591,901,001,636,068,624,263,099,069,173,
242,676,307,473,215,503,408,966,395,683,767,143,611,166,265,066,680,478,029,
897,240,530,702,345,025,252,479,362,045,733,375,992,461,991,369,029,617,835,
056,463,103,794,106,757,592,377,239,149,311,792,500,642,319,638,479,078,465,
430,326,496,849,218,409,841,713,449,301,709,033,856,365,076,825,113,694,562,
324,923,736,277,755,032,552,317,876,775,142,026,719,544,860,351,624,993,436,
562,120,683,059,475,969,964,355,280,125,229,322,454,489,430,525,477,001,460,
515,516,389,962,623,623,539,086,777,890,477,308,703,503,232,725,589,779,563,
437,672,126,510,373,266,061,655,344,736,777,419,545,299,526,251,580,747,572,
057,683,615,481,222,829,514,760,898,862,208,054,044,639,489,753,883,806,218,
275,358,546,724,013,106,846,277,449,504,406,049,740,702,683,049,905,260,365,
181,695,006,004,281,580,088,341,277,665,423,262,924,493,571,837,821,159,636,
774,804,990,707,432,678,189,051,441,229,620,068,882,027,338,768,584,628,866,
135,465,832,840,361,894,063,635,380,745,648,173,369,779,556,431,258,065,923,
688,488,999,906,156,413,409,339,755,599,380,237,490,467,465,852,863,932,464,
366,800,666,063,565,811,699,720,897,131,342,751,945,746,820,978,525,005,215,
228,418,277,186,737,976,064,390,616,282,966,815,403,924,766,213,001,479,400,
454,303,863,484,758,351,781,386,930,824,255,250,521,501,772,396,736,823,067,
670,630,549,097,919,251,353,982,996,698,162,977,086,090,109,303,308,083,334,
906,294,375,963,615,100,818,625,994,682,473,482,246,236,223,228,983,535,825,
086,828,954,669,454,498,003,484,108,941,305,465,189,810,789,481,447,125,168,
768,894,965,391,742,804,497,156,779,861,501,494,244,398,477,408,817,286,603,
328,236,986,561,773,018,723,632,263,607,013,661,446,058,745,927,446,367,383,
612,655,748,921,917,078,502,058,680,836,984,771,270,634,156,845,178,566,612,
095,060,549,710,639,504,634,721,602,368,716,275,092,521,490,617,577,980,494,
213,956,837,527,345,706,369,102,656,568,544,516,795,607,852,392,216,378,716,
627,087,947,902,787,708,730,462,357,821,868,593,137,389,661,959,124,926,886,
316,523,892,349,581,545,992,546,314,177,958,836,468,083,734,843,450,264,377,
649,839,677,959,521,215,370,436,005,237,293,706,269,947,073,774,065,676,001,
681,926,408,737,597,264,120,835,111,336,208,062,297,754,163,780,194,654,035,
756,306,653,086,867,895,993,755,403,943,862,132,350,560,891,542,392,908,068,
084,542,343,405,525,310,652,858,539,233,591,759,865,668,212,357,359,058,023,
546,558,032,703,860,133,690,876,658,989,637,199,648,646,324,315,038,305,497,
932,283,382,506,585,934,525,890,691,625,483,943,125,124,148,478,029,244,246,
752,970,585,814,237,222,856,302,877,018,947,021,455,287,456,082,988,982,908,
291,070,572,526,278,236,503,403,214,838,874,168,388,381,599,937,451,850,992,
910,633,340,969,509,143,200,181,470,876,713,748,768,314,709,124,621,616,509,
785,546,268,958,241,253,674,429,089,650,918,189,913,470,981,761,105,528,248,
690,044,115,686,071,630,202,470,416,101,677,081,977,878,276,193,222,217,856,
464,352,283,817,502,932,367,218,873,893,020,143,443,802,904,773,641,580,053,
697,589,517,266,903,177,681,875,545,489,471,410,895,671,378,533,662,023,151,
623,732,717,976,692,321,038,101,506,329,049,427,145,735,546,258,763,645,363,
744,371,580,992,619,158,922,508,969,992,299,530,706,871,696,143,054,034,079,
412,037,601,244,470,372,019,510,268,000,112,807,121,839,961,863,958,378,769,
854,291,335,881,364,670,074,162,975,445,048,555,039,575,191,711,081,993,088,
702,093,731,931,816,790,009,788,016,584,647,554,675,641,784,859,645,133,073,
904,131,468,505,560,347,935,209,384,557,474,978,340,942,315,925,706,772,205,
517,860,164,842,368,680,273,568,215,403,914,777,886,400,300,121,915,994,842,
435,334,998,806,350,813,551,900,978,399,910,594,636,781,158,558,514,584,853,
487,853,542,181,311,963,623,866,193,579,654,780,089,961,947,863,658,739,491,
985,347,880,232,617,013,316,093,598,858,940,585,119,992,949,122,367,122,104,
961,632,730,709,365,497,034,761,506,823,693,800,760,194,669,787,236,339,618,
057,671,855,046,418,695,746,555,872,403,916,843,901,478,750,970,513,845,038,
135,909,401,809,381,530,453,648,570,593,529,272,660,295,022,706,436,635,681,
357,250,346,342,935,434,931,080,329,453,607,430,790,895,069,149,771,926,611,
978,810,721,472,621,472,797,487,471,666,666,820,260,323,112,486,096,497,782,
212,024,621,797,488,010,390,171,478,281,155,313,434,121,372,055,843,087,405,
520,005,035,631,860,087,904,684,991,627,751,457,881,560,612,069,485,613,585,
051,966,802,340,765,966,493,239,076,984,187,127,837,472,701,665,337,534,076,
083,199,312,039,517,375,322,645,037,550,313,965,303,836,706,668,685,214,553,
178,784,588,670,435,452,607,202,489,233,866,892,335,043,243,648,562,308,082,
233,576,561,743,160,172,954,460,685,335,764,863,048,588,718,147,960,635,784,
843,245,625,886,474,017,485,724,055,829,892,444,389,113,714,429,428,765,876,
899,193,554,423,144,176,327,446,077,945,367,325,917,860,608,056,224,928,951,
291,952,027,496,594,702,180,923,570,787,768,791,166,527,017,709,770,213,773,
069,478,247,859,001,869,666,380,033,573,214,142,474,686,667,296,106,943,846,
896,321,485,860,686,746,855,381,641,607,965,114,947,447,132,083,265,793,155,
466,148,520,797,970,067,466,884,714,942,044,774,560,876,922,106,889,123,407,
648,077,448,685,543,802,792,409,572,493,313,573,557,900,604,565,492,171,679,
212,121,058,477,578,282,412,366,381,796,747,545,262,470,015,047,818,967,862,
485,867,022,443,462,028,871,047,634,774,798,870,999,288,657,193,651,730,763,
186,451,605,764,367,074,500,262,108,033,295,786,961,821,218,258,168,554,099,
861,278,017,160,907,758,149,476,514,467,585,045,402,608,210,654,607,551,192,
579,892,430,540,931,245,490,946,387,173,502,536,773,695,029,271,779,092,825,
086,392,255,061,442,590,828,945,969,194,437,318,761,264,474,904,782,331,112,
298,863,670,380,902,767,542,591,264,111,502,684,517,102,646,651,425,314,923,
470,103,647,804,947,572,460,580,591,805,323,213,257,973,114,532,232,793,181,
863,648,810,057,631,497,149,868,159,949,791,013,055,979,587,028,560,874,333,
773,096,615,459,382,563,661,876,046,198,814,514,061,067,737,223,511,577,181,
639,677,993,768,138,391,597,886,056,613,078,975,237,608,212,000,884,014,355,
479,825,855,381,598,715,237,484,657,616,487,339,128,339,529,958,720,172,162,
727,423,061,741,669,316,877,213,891,226,978,497,636,977,506,568,832,003,709,
337,046,266,643,018,525,208,268,784,474,049,397,558,211,036,886,384,863,293,
960,007,395,583,280,455,631,030,431,583,025,455,656,260,422,707,988,940,915,
800,959,567,581,746,574,053,091,298,560,968,344,763,259,100,683,586,388,746,
996,040,676,966,302,080,893,162,754,156,866,876,979,502,321,885,547,951,206,
098,182,075,192,414,469,511,765,134,099,452,432,528,333,704,153,775,857,985,
380,437,916,950,481,941,488,965,280,037,579,596,159,085,442,608,160,956,796,
147,278,361,245,203,533,615,974,689,998,414,571,405,027,101,753,026,526,207,
800,360,501,841,737,967,369,486,739,237,336,455,859,526,851,874,171,551,410,
173,832,411,511,914,312,596,286,855,783,307,671,237,606,567,214,995,418,860,
250,885,105,339,631,202,604,194,453,644,269,210,561,633,647,119,497,893,502,
265,845,479,208,120,585,777,157,683,358,645,520,907,167,572,817,825,183,967,
863,371,438,188,321,449,772,905,299,145,749,249,713,282,803,485,670,253,666,
006,633,664,952,170,723,484,778,710,116,969,309,838,454,525,636,611,073,539,
333,001,059,451,835,353,858,996,420,310,851,429,996,548,779,730,710,314,442,
354,892,955,201,218,832,416,962,158,771,013,220,776,919,475,596,131,132,861,
788,570,817,780,547,249,161,418,925,754,556,104,716,993,637,629,807,638,858,
958,165,256,402,806,445,857,979,353,293,169,089,230,079,254,170,047,950,397,
496,490,643,254,280,131,069,430,626,002,854,411,228,990,784,561,402,790,679,
405,697,295,301,994,404,155,289,221,469,534,844,753,943,977,811,558,182,503,
049,856,312,032,112,462,572,851,983,802,090,400,897,481,743,075,549,565,103,
009,581,451,530,968,550,507,011,437,279,090,040,570,302,726,684,282,294,547,
502,473,921,379,943,990,018,228,994,425,856,169,057,972,370,993,201,305,701,
894,159,694,444,962,452,237,011,636,498,293,878,935,958,768,362,142,578,958,
819,491,629,539,411,462,198,618,620,548,348,256,514,602,909,757,441,348,607,
909,818,217,014,736,513,792,919,743,585,700,089,934,939,085,323,467,088,778,
269,569,785,378,603,435,649,333,085,748,647,588,986,298,421,459,363,302,754,
898,670,797,189,049,934,470,295,752,199,880,551,766,114,497,495,665,570,860,
411,026,261,758,448,839,294,340,428,442,898,257,092,481,461,031,830,090,581,
043,293,630,912,145,931,238,615,784,266,785,811,062,131,170,043,420,977,769,
252,273,739,013,189,451,693,851,139,460,236,017,073,141,798,253,377,842,645,
500,967,708,129,490,256,104,164,396,565,964,377,021,583,815,329,020,122,108,
213,277,051,781,977,418,919,485,429,676,076,746,489,745,672,842,289,312,179,
586,098,746,448,568,493,959,506,442,440,122,616,954,475,042,269,117,903,489,
711,206,940,818,306,718,283,654,950,014,158,882,116,231,731,112,981,851,842,
403,634,742,222,434,594,132,909,959,448,704,124,171,065,534,786,905,431,541,
732,340,187,202,648,113,620,465,840,900,160,126,809,327,464,906,203,902,972,
598,275,348,684,437,826,431,761,663,641,839,290,327,407,021,135,357,796,321,
103,240,258,589,761,740,072,387,082,794,360,633,662,500,007,449,105,113,635,
773,646,358,562,833,882,498,534,508,207,045,426,486,652,700,910,988,058,686,
434,589,513,577,614,342,877,387,932,661,705,038,823,476,560,684,159,860,865,
561,205,129,670,525,923,134,250,610,447,432,937,794,338,076,602,796,840,204,
599,590,957,416,789,522,168,888,567,981,340,028,692,500,444,366,297,215,813,
308,352,335,632,187,691,734,222,818,911,858,803,953,822,415,195,579,638,215,
583,658,916,779,664,584,207,441,687,882,093,572,631,483,808,024,052,594,886,
453,500,166,403,417,855,808,940,441,963,554,028,718,308,938,247,167,609,202,
266,557,999,693,076,082,670,260,316,533,451,255,652,770,151,290,672,027,128,
085,203,729,260,360,519,438,958,200,882,740,103,074,885,711,620,694,109,276,
335,256,101,266,069,348,164,793,030,937,199,829,068,672,964,986,847,808,525,
477,568,537,563,093,342,060,745,073,523,888,082,922,651,572,470,726,217,241,
120,738,414,504,753,044,859,540,572,571,256,879,497,428,840,351,876,513,486,
231,834,049,423,932,693,156,940,423,348,084,644,265,246,362,356,711,018,887,
422,939,520,449,945,131,755,187,348,331,835,029,374,496,444,722,069,458,905,
134,682,315,008,168,973,987,017,489,927,106,746,383,718,412,224,408,144,413,
381,860,683,330,324,451,420,470,132,445,169,657,842,747,043,825,606,806,093,
855,682,092,770,068,391,363,267,755,284,110,231,914,555,956,838,246,212,814,
530,691,933,263,008,031,480,276,993,722,883,049,358,683,910,141,569,956,840,
625,329,433,449,385,449,031,009,496,835,817,711,319,522,760,935,639,272,770,
319,443,356,609,881,752,720,532,019,897,729,797,976,164,961,561,368,299,805,
335,737,714,773,963,161,812,434,900,909,865,473,558,485,165,769,237,672,341,
614,494,403,380,196,837,490,206,907,506,276,405,255,437,261,085,304,254,403,
523,908,662,507,043,218,263,420,804,858,753,185,261,319,834,701,027,465,756,
343,916,888,268,459,480,454,353,058,501,223,584,322,719,094,234,967,644,294,
853,812,661,710,024,285,460,205,542,955,671,224,500,802,937,537,552,246,323,
206,400,147,975,769,325,510,032,093,269,819,681,448,190,472,403,450,444,174,
072,800,409,484,078,576,508,434,568,502,980,071,887,229,512,032,061,673,168,
993,312,982,100,988,026,240,936,724,027,594,761,490,647,973,723,572,068,037,
984,414,138,379,633,449,535,284,332,373,322,620,578,084,979,261,648,571,794,
322,952,781,191,733,449,948,518,002,925,333,700,350,919,692,528,665,599,386,
902,960,132,996,162,802,966,529,101,932,809,810,331,737,198,945,528,849,609,
568,305,624,546,204,527,872,961,063,844,939,734,894,484,500,378,934,428,497,
022,988,183,126,410,766,518,736,981,773,898,085,883,867,677,708,430,790,168,
834,847,162,700,630,208,224,835,251,362,648,184,382,046,889,914,614,572,436,
526,691,376,165,547,786,143,314,134,664,937,724,682,822,908,154,169,388,320,
925,143,133,135,678,332,572,151,711,872,048,591,968,412,738,324,222,631,329,
460,610,057,270,246,865,573,271,264,099,953,550,015,392,570,459,575,837,641,
993,748,412,139,750,190,907,354,697,649,702,810,976,515,810,116,691,635,061,
274,238,513,967,883,572,410,802,085,423,921,124,211,765,602,268,730,703,278,
664,078,427,438,712,803,898,324,768,485,322,978,200,823,001,262,732,475,328,
233,640,695,331,132,290,182,275,996,917,666,495,047,652,050,496,856,020,474,
917,625,008,222,133,438,921,974,578,627,160,365,707,659,431,780,694,602,574,
786,519,483,866,333,840,890,386,600,544,805,838,315,936,374,609,653,266,327,
792,293,397,835,064,267,950,133,882,495,488,095,612,037,656,656,695,571,645,
399,511,212,901,018,332,152,821,297,334,348,561,163,407,632,262,211,314,665,
303,986,488,796,830,487,445,514,603,642,932,173,709,389,540,088,241,283,066,
245,468,984,637,036,902,217,912,910,799,467,871,749,519,106,759,225,253,043,
495,245,880,275,314,083,874,005,773,981,510,385,364,578,165,258,327,005,886,
535,708,241,659,448,434,885,356,962,753,556,564,994,277,052,964,839,521,211,
263,382,259,345,223,079,401,620,819,884,940,388,385,754,162,917,639,012,779,
434,117,443,809,526,172,683,647,608,860,599,853,300,686,072,449,863,474,094,
682,887,123,868,039,399,451,346,248,622,452,702,252,715,024,879,604,594,724,
191,345,347,700,699,751,576,343,052,603,746,305,182,782,808,601,349,778,993,
026,870,732,040,932,443,551,673,246,982,559,708,355,590,022,176,509,875,239,
674,723,220,279,407,532,823,125,338,502,448,820,964,089,115,129,729,383,824,
477,125,577,651,609,025,423,128,137,334,997,868,784,776,643,580,174,912,607,
732,306,241,269,348,828,863,538,388,590,900,389,278,028,396,024,018,553,695,
348,567,505,203,522,608,015,828,743,353,756,269,790,050,785,422,117,224,792,
345,683,688,367,996,934,710,297,473,439,875,873,634,482,123,407,564,948,889,
640,812,597,618,988,763,781,569,829,339,356,804,146,120,743,026,268,046,324,
241,003,568,147,174,732,298,736,968,541,752,208,569,417,965,162,051,878,448,
259,567,954,585,569,352,250,370,015,608,045,260,311,227,885,906,331,200,413,
126,715,623,334,606,593,761,803,438,219,886,266,278,689,258,066,841,707,867,
033,805,566,979,951,979,367,094,632,131,177,412,978,571,863,151,042,041,211,
348,860,016,315,444,546,572,095,164,118,351,352,623,811,578,487,530,045,292,
983,824,877,343,887,469,193,531,406,188,816,108,682,107,117,827,446,887,366,
404,049,147,637,503,193,981,827,412,395,455,584,063,818,823,676,781,139,090,
390,475,192,389,937,196,811,969,036,471,491,552,039,659,166,347,741,252,089,
495,764,892,282,792,617,204,934,273,538,870,147,406,622,092,904,410,339,087,
264,867,117,655,903,590,341,109,277,266,869,465,530,100,808,984,678,840,696,
846,856,104,510,464,161,526,190,889,998,565,136,775,189,582,639,516,753,798,
063,710,747,137,412,826,965,615,613,507,120,090,560,260,620,407,896,744,741,
798,854,761,905,084,857,614,398,095,362,774,260,633,432,021,026,153,836,642,
361,701,590,156,513,506,556,054,518,339,176,656,821,745,191,126,550,947,794,
949,994,859,975,926,856,751,909,404,841,929,099,766,102,058,915,461,818,667,
153,385,139,912,008,452,177,331,583,710,354,285,112,834,346,551,989,904,521,
161,006,615,033,757,942,046,723,380,578,283,316,251,285,941,283,994,358,155,
851,422,768,394,916,330,106,733,221,761,662,150,050,598,793,287,384,658,048,
490,392,836,071,673,801,509,622,612,214,010,224,272,868,564,415,655,331,293,
661,065,700,506,015,261,225,924,670,736,337,066,758,807,672,511,175,190,623,
615,931,587,635,878,565,469,684,939,784,029,971,335,042,768,670,996,827,545,
959,051,077,333,900,569,904,042,917,924,457,214,895,868,743,741,006,991,911,
028,161,992,723,771,197,214,538,495,138,168,742,959,142,482,544,010,735,624,
908,673,649,363,904,345,426,450,601,095,545,853,642,411,589,806,158,220,940,
096,117,704,731,395,161,629,716,329,579,995,353,423,814,308,348,541,725,690,
691,953,820,104,553,727,170,622,169,837,239,154,196,925,467,182,326,329,172,
909,139,214,229,344,094,050,453,440,899,754,575,704,363,218,568,932,623,709,
203,154,377,899,551,146,228,005,980,905,347,873,942,416,418,002,143,684,291,
816,967,834,543,551,280,222,281,798,843,224,467,452,966,157,363,841,332,174,
277,233,110,154,592,514,592,189,092,231,145,267,243,802,505,940,271,074,186,
241,177,563,555,818,570,509,768,104,694,526,783,027,220,091,501,313,199,185,
088,921,601,015,036,004,669,901,787,393,378,973,673,083,534,549,422,113,425,
253,647,763,114,481,544,035,469,751,598,511,658,476,986,481,626,251,160,889,
447,989,714,091,506,986,381,665,067,192,937,748,620,995,340,996,428,390,700,
445,462,317,836,171,685,961,957,192,485,802,283,029,538,253,246,218,212,624,
305,449,017,736,050,722,014,380,253,130,666,489,908,832,086,194,267,260,275,
132,634,726,220,229,451,143,536,983,407,396,331,671,330,032,432,364,479,013,
018,923,241,006,932,451,275,650,787,094,037,632,986,202,594,142,236,949,210,
775,790,880,070,260,640,636,578,879,674,605,235,133,082,728,984,040,272,034,
509,130,399,735,841,549,741,522,475,544,509,216,925,081,342,227,018,740,221,
441,849,410,514,151,842,252,315,942,261,940,537,934,127,479,322,917,365,471,
246,371,256,252,727,115,344,585,297,708,167,601,914,021,850,385,573,340,453,
273,970,544,263,581,653,188,845,415,242,375,551,066,782,242,177,971,592,663,
295,924,645,621,860,379,265,394,208,169,539,791,717,541,664,135,075,786,573,
253,419,684,027,975,254,166,111,500,282,944,743,087,580,853,723,396,930,690,
798,888,835,078,578,881,878,534,110,759,965,528,502,634,026,451,539,329,216,
910,795,834,687,142,724,891,930,281,400,781,345,341,422,704,680,771,513,003,
684,634,413,266,897,265,906,777,177,668,069,540,126,076,398,201,043,856,696,
330,098,130,957,267,829,308,924,222,758,236,783,641,327,867,947,854,208,706,
575,889,513,007,471,032,300,045,805,299,377,574,607,788,623,970,978,786,269,
109,055,421,903,686,795,622,896,288,330,824,668,248,412,053,144,542,479,745,
394,659,417,537,494,308,708,220,648,774,145,985,949,231,640,103,311,056,901,
062,321,894,768,466,614,897,715,602,381,668,272,614,429,788,169,434,483,573,
433,679,137,375,727,163,513,435,035,731,176,160,190,147,684,729,050,937,906,
592,712,222,065,543,799,883,477,959,136,610,845,682,829,515,908,082,211,325,
780,753,219,493,103,606,167,151,150,753,113,244,150,151,844,965,888,952,231,
423,713,033,379,136,493,879,189,932,513,277,915,960,147,455,358,504,360,693,
716,493,138,040,382,217,670,011,447,561,456,035,677,422,226,255,823,247,203,
685,571,519,469,777,537,105,636,250,448,325,719,585,260,759,350,404,491,447,
156,626,775,271,901,927,277,716,157,871,237,736,848,122,502,589,468,302,881,
618,178,178,758,804,120,791,044,108,679,386,953,630,262,142,706,686,119,100,
678,842,806,998,229,300,656,821,190,613,057,974,368,980,607,716,980,778,883,
230,875,481,669,351,453,226,577,078,868,970,483,778,721,947,558,202,569,162,
002,224,613,982,907,947,549,182,077,890,578,780,607,923,814,511,831,746,799,
529,597,267,172,854,207,125,904,359,671,369,017,603,824,470,227,669,861,746,
709,121,429,775,816,850,214,867,784,045,684,180,315,591,780,758,306,434,355,
196,998,470,990,696,222,589,049,402,975,352,207,613,080,797,551,527,896,170,
393,186,905,834,925,718,714,843,055,719,313,304,630,351,879,889,212,259,708,
889,644,976,629,592,028,698,449,885,098,186,872,825,217,021,298,165,325,689,
250,743,789,687,288,082,891,724,298,755,486,669,609,244,431,398,501,121,817,
781,187,109,452,854,718,772,509,357,713,105,994,830,808,080,705,435,154,256,
843,602,596,121,071,955,845,573,715,627,675,138,717,075,426,176,725,523,163,
329,972,023,310,269,101,666,990,923,763,793,016,687,406,797,955,421,013,255,
128,609,458,009,746,715,963,297,025,444,918,169,875,218,129,713,357,853,044,
419,798,992,011,479,231,598,470,928,711,997,992,229,453,351,169,849,274,077,
697,493,059,962,388,445,186,254,917,500,717,895,093,797,440,710,592,473,726,
566,278,675,615,142,793,425,957,884,453,163,942,443,559,308,301,619,221,822,
295,940,147,993,269,791,530,469,469,382,833,018,310,702,728,938,391,629,463,
967,456,906,047,394,874,338,254,992,858,474,296,969,840,750,150,965,340,529,
985,030,295,060,961,515,420,221,641,710,012,135,251,631,835,210,406,240,855,
114,553,674,851,515,296,054,677,384,156,119,076,166,411,006,794,020,978,260,
355,454,461,988,432,930,559,464,401,951,049,013,060,277,357,506,611,003,449,
743,454,138,744,319,820,794,040,796,655,083,184,308,186,007,584,881,592,316,
892,508,577,708,581,243,769,637,450,462,544,660,065,748,598,174,843,141,647,
581,617,884,469,852,128,378,911,283,961,246,381,737,481,077,372,986,706,635,
930,121,946,903,662,201,663,529,069,405,004,213,648,364,952,673,412,087,415,
811,557,851,604,870,019,607,928,278,097,309,407,432,182,519,152,851,296,236,
739,491,267,575,370,023,889,737,908,545,016,547,215,990,706,208,334,382,475,
630,863,776,895,897,153,851,994,705,995,936,401,869,759,278,484,684,887,248,
446,999,176,360,012,254,897,109,483,998,269,319,342,968,956,567,888,627,138,
146,502,322,880,672,228,217,799,766,734,201,507,455,174,052,108,983,659,806,
365,690,731,807,514,417,778,492,916,288,338,084,190,364,654,864,610,551,736,
638,508,528,091,357,091,720,481,654,511,405,268,251,123,514,211,177,533,406,
021,350,442,652,035,994,954,148,093,991,393,394,637,943,999,237,416,943,430,
182,074,909,028,674,783,404,272,944,832,818,393,774,888,419,807,413,156,986,
973,463,426,853,164,913,530,149,827,438,564,346,565,715,461,472,991,263,423,
561,437,216,704,339,642,792,017,183,847,616,039,795,284,317,292,019,355,333,
428,232,129,957,212,011,189,215,067,106,821,035,337,492,413,701,785,684,268,
441,365,613,925,496,490,438,651,982,224,547,883,568,855,076,686,957,922,000,
699,264,267,023,694,626,824,070,263,935,113,580,948,687,330,503,853,483,659,
011,440,123,561,047,383,079,074,949,360,434,266,678,555,249,513,822,486,004,
702,932,348,793,346,684,569,045,011,084,463,688,172,086,027,658,159,416,228,
051,368,285,491,475,022,571,160,328,858,257,023,264,154,039,899,657,634,018,
396,622,456,961,249,933,396,553,375,289,217,162,844,135,677,915,132,465,867,
693,094,929,638,734,816,405,438,781,977,375,683,062,765,693,795,102,821,790,
106,694,251,826,723,374,008,761,844,173,788,067,215,194,397,871,537,434,904,
179,436,639,771,951,072,362,306,700,781,510,375,231,743,352,347,173,363,497,
905,914,879,756,646,670,983,032,690,311,421,105,377,199,353,893,563,685,744,
636,217,874,178,226,105,194,570,559,113,436,204,788,977,350,934,260,642,408,
139,521,229,885,666,271,182,333,462,410,350,174,406,003,172,448,361,333,979,
603,595,786,699,547,720,299,039,643,825,705,838,083,181,171,920,092,476,187,
604,588,287,192,027,041,601,244,305,548,124,240,453,251,983,442,847,574,621,
711,061,391,970,069,330,708,250,263,145,589,587,808,776,592,501,603,558,391,
248,172,280,815,108,268,752,889,934,667,348,826,750,461,709,324,844,310,846,
623,726,922,145,534,028,994,086,636,339,623,559,335,991,517,197,041,948,590,
476,869,119,876,791,043,671,973,986,575,927,515,877,922,377,096,848,002,349,
717,282,591,195,635,233,421,500,192,507,909,778,250,947,331,384,749,693,665,
088,970,925,371,444,531,268,758,641,447,194,256,984,672,597,287,444,980,662,
212,666,703,109,880,115,709,365,950,327,221,546,241,987,360,461,442,392,297,
003,089,501,221,780,764,962,421,944,065,426,683,459,100,071,054,275,776,399,
288,031,956,882,365,641,162,235,360,053,096,033,090,003,948,919,877,651,994,
253,192,825,829,600,983,875,021,198,381,926,341,597,421,296,197,380,028,171,
156,082,585,097,405,892,800,578,317,297,549,980,783,494,865,250,036,919,649,
938,724,692,123,183,000,125,192,274,452,806,223,871,198,537,796,817,897,751,
420,935,258,135,457,141,710,676,187,152,592,381,327,114,814,003,111,636,288,
782,722,591,159,387,331,003,199,311,968,345,778,377,524,098,852,777,456,873,
284,414,933,166,705,788,210,807,677,346,309,015,151,496,097,876,972,213,848,
199,752,458,868,298,019,838,317,966,058,832,385,991,287,486,241,633,694,779,
365,032,691,870,085,471,714,661,267,666,662,076,301,568,872,528,884,408,269,
301,866,061,838,736,224,174,060,789,631,833,077,967,409,542,392,386,697,466,
531,875,952,466,992,479,962,195,766,446,236,931,183,769,063,345,708,347,228,
821,074,840,145,132,839,986,306,049,441,178,103,234,417,528,482,866,945,808,
166,449,764,076,639,879,741,539,300,077,728,971,012,494,807,943,332,802,409,
148,833,541,910,300,703,964,491,213,884,210,968,155,356,194,968,362,600,310,
166,953,581,187,818,070,806,402,841,068,238,485,021,834,241,077,864,519,975,
135,725,193,971,573,174,619,225,629,186,869,758,863,988,534,126,410,670,372,
642,877,460,034,650,389,563,113,876,717,140,621,645,006,553,964,696,179,216,
176,692,357,963,217,330,834,097,355,819,492,206,536,553,246,298,543,722,060,
788,168,331,883,667,205,260,903,618,306,919,666,892,638,834,236,727,165,589,
340,868,264,700,047,156,168,091,585,197,428,856,737,774,193,313,809,179,168,
946,066,833,254,861,833,274,310,274,687,099,389,729,091,831,122,838,020,660,
179,731,039,747,529,891,931,712,153,492,664,151,747,728,298,509,724,809,222,
211,064,201,876,023,565,434,249,342,812,780,765,225,795,499,604,808,097,710,
450,833,895,726,417,940,955,084,345,770,708,222,694,012,350,405,877,978,425,
841,918,796,721,916,101,399,685,757,748,718,054,187,276,215,450,633,690,352,
149,739,025,372,760,190,417,354,637,249,295,219,413,643,156,860,765,226,753,
291,197,157,192,437,222,016,468,191,531,680,701,382,658,218,444,969,153,011,
851,772,928,725,905,364,566,336,854,044,110,187,962,896,534,328,150,528,179,
325,022,292,708,630,532,848,444,690,986,848,119,817,100,556,531,430,475,909,
298,740,712,561,459,405,981,472,217,710,819,082,935,924,359,236,075,477,697,
437,263,095,306,129,249,882,505,382,138,708,740,187,203,352,311,822,977,758,
623,888,164,763,188,952,907,389,675,489,036,154,254,131,731,662,621,241,259,
652,442,130,050,368,117,972,265,555,116,881,281,814,770,074,178,635,076,726,
726,273,792,690,618,323,968,027,914,518,143,131,006,900,992,260,830,804,816,
086,534,785,162,624,710,774,382,380,219,907,254,314,690,155,740,461,430,424,
128,005,803,725,395,032,014,334,414,851,677,227,858,214,324,392,831,725,337,
708,577,697,143,428,046,482,351,041,400,946,925,286,775,832,247,957,074,225,
775,013,658,091,896,949,537,673,281,927,477,715,611,881,253,033,990,807,904,
820,226,764,820,589,724,974,745,287,823,784,155,543,356,521,473,626,952,638,
756,797,898,345,756,889,911,356,743,217,118,617,476,041,904,620,552,675,312,
379,096,415,159,040,592,599,811,290,016,053,481,847,622,073,959,384,353,727,
099,749,455,950,382,465,591,532,049,735,187,047,216,615,884,492,395,332,528,
195,610,127,425,086,408,207,597,382,850,783,879,403,418,459,316,563,892,714,
848,968,590,078,002,897,619,758,341,729,023,757,043,298,295,487,642,266,743,
076,411,672,652,227,024,728,948,185,600,512,217,754,097,569,216,462,886,132,
506,115,542,186,689,078,701,063,898,646,962,230,862,712,409,034,029,331,224,
537,451,354,463,001,783,233,435,026,827,399,532,399,615,096,504,272,867,727,
487,294,583,244,942,465,109,546,029,083,337,212,117,208,444,698,359,842,845,
141,479,923,417,129,846,101,032,068,441,258,853,334,626,806,961,198,545,499,
389,911,278,220,607,278,433,642,217,192,745,144,317,967,947,210,322,054,621,
204,031,659,082,593,993,541,805,909,076,683,165,789,021,067,803,836,894,837,
417,384,610,470,732,473,810,185,611,156,849,099,157,077,077,960,614,374,895,
671,498,537,320,479,434,217,749,738,858,706,724,263,981,287,117,712,529,643,
965,915,674,010,366,863,273,532,290,736,955,729,009,786,062,508,809,922,273,
728,770,516,337,296,807,291,122,258,859,719,766,053,566,617,179,388,559,772,
433,491,385,824,477,006,147,270,764,886,743,363,873,529,000,342,097,005,935,
367,845,159,307,710,552,672,970,691,921,560,158,848,985,260,086,971,411,117,
694,969,144,339,117,858,037,135,112,255,759,252,974,267,288,685,701,841,612,
805,610,765,126,052,897,813,492,272,509,122,578,342,549,195,869,724,525,579,
135,992,437,174,680,214,972,539,895,324,618,498,765,586,188,879,600,254,711,
887,729,943,217,523,971,440,921,530,256,637,720,069,379,356,710,252,414,086,
337,354,290,182,913,747,842,436,683,697,575,100,124,567,221,276,184,161,773,
563,333,052,296,466,414,284,603,197,970,704,938,207,228,381,876,367,285,534,
841,300,047,899,407,159,336,869,007,168,682,490,181,885,319,322,204,255,632,
231,527,289,670,028,997,718,740,684,340,597,774,902,451,981,945,167,809,414,
193,827,671,485,576,969,933,841,379,608,391,258,796,410,914,323,825,524,678,
585,406,548,336,858,738,293,265,254,437,406,129,627,795,506,293,218,801,175,
529,218,755,014,790,939,868,381,626,465,081,996,723,299,908,491,955,553,420,
024,532,439,159,005,916,443,418,229,392,310,677,627,311,244,991,005,021,979,
375,565,047,450,415,554,638,720,200,047,407,966,461,448,813,337,264,906,928,
268,411,938,074,832,878,948,656,527,868,724,386,021,186,038,008,439,915,159,
930,044,451,213,258,247,733,047,608,650,171,394,363,555,158,836,205,396,836,
304,496,647,839,594,352,958,092,771,383,278,458,652,963,602,213,481,863,207,
140,258,882,565,852,638,587,063,351,565,943,544,126,158,081,622,596,814,710,
924,687,739,586,843,823,658,175,336,638,418,189,584,952,077,915,693,808,148,
436,303,752,049,390,996,105,455,659,528,062,409,591,412,538,103,038,333,089,
814,332,346,862,991,797,368,190,210,183,642,738,991,391,242,733,676,440,027,
057,365,316,503,615,808,891,025,237,942,047,662,935,535,738,914,963,873,952,
773,763,544,812,338,145,837,024,492,207,053,180,758,931,071,559,966,351,293,
355,371,615,895,840,365,653,045,044,106,852,018,525,607,371,810,251,124,109,
272,492,157,518,539,842,345,916,493,556,840,606,554,992,346,512,629,676,023,
316,360,835,259,032,194,254,502,870,690,631,465,851,304,195,058,158,310,277,
112,592,053,698,204,182,855,644,610,772,840,135,046,210,056,128,454,846,897,
312,143,892,653,943,550,766,479,318,912,570,008,104,604,801,406,754,653,687,
394,404,561,510,284,668,618,241,026,041,429,853,206,881,107,945,436,968,554,
458,271,135,886,208,505,517,709,097,568,896,310,559,708,615,876,168,930,492,
438,904,534,760,112,949,264,852,419,767,781,870,633,349,096,967,432,551,029,
441,420,515,722,140,845,256,073,561,838,124,205,841,560,485,510,619,542,760,
193,730,875,143,668,295,543,968,427,210,019,354,453,348,536,459,684,046,491,
501,292,810,603,582,061,699,815,364,767,871,590,973,390,359,551,682,560,868,
957,251,567,371,858,781,267,128,161,889,278,490,760,750,273,008,529,351,514,
882,522,872,193,775,906,918,624,047,112,637,179,237,019,871,099,293,227,000,
177,277,378,712,324,319,008,123,805,400,401,732,631,440,892,827,558,602,404,
167,396,217,810,217,653,667,851,668,195,313,313,940,258,713,903,858,142,112,
726,073,592,873,157,316,057,845,922,026,683,241,760,189,585,783,220,020,130,
229,563,284,535,659,066,799,590,825,818,693,455,852,477,773,782,951,810,011,
060,854,047,595,593,893,270,008,473,913,958,406,317,579,088,007,455,431,945,
166,418,778,690,714,886,872,816,290,458,856,896,368,236,343,913,780,645,538,
953,658,053,625,280,290,483,645,970,325,524,080,800,984,865,269,497,688,120,
286,803,811,342,766,283,599,137,519,475,559,424,973,042,039,821,028,576,393,
342,148,227,307,962,711,320,252,690,397,789,110,551,625,179,973,723,737,936,
048,296,080,901,432,420,523,041,941,228,862,156,270,033,155,402,703,573,757,
178,804,003,230,946,568,017,064,021,108,837,476,231,240,544,696,160,524,989,
632,726,671,541,718,673,031,100,144,436,953,840,267,587,284,908,592,257,721,
402,833,192,559,480,794,668,279,850,525,023,927,875,223,364,976,842,027,111,
461,202,948,009,196,440,402,822,204,628,818,209,974,313,383,791,905,698,415,
872,112,037,109,046,845,296,233,832,024,194,643,801,605,725,155,176,287,527,
157,688,533,754,345,173,967,069,596,434,290,935,823,337,467,307,588,406,814,
075,468,638,071,096,521,640,166,694,418,722,952,602,455,606,291,063,462,484,
754,422,950,071,981,747,456,693,403,070,254,070,187,935,039,704,423,026,600,
187,634,796,919,700,567,399,628,772,392,167,421,609,862,317,748,068,147,810,
779,149,350,409,779,132,915,030,930,341,966,258,034,554,595,394,332,761,118,
315,170,901,649,814,465,783,014,643,905,780,495,889,249,996,160,873,929,774,
459,496,441,878,147,163,561,483,486,538,812,643,835,892,532,236,409,036,261,
720,503,197,412,291,980,308,740,026,081,715,955,344,755,359,065,073,885,415,
240,424,411,297,832,263,183,965,893,617,942,402,857,386,449,851,443,085,288,
444,568,561,414,440,910,020,325,091,751,338,620,775,831,867,219,759,237,494,
627,415,212,007,267,136,536,801,347,018,957,095,471,369,823,169,301,771,902,
129,332,989,753,742,260,471,186,670,426,692,288,547,964,389,155,568,696,729,
300,189,592,772,022,114,509,447,962,654,389,547,649,462,119,470,299,370,979,
453,568,084,746,279,189,940,361,984,392,775,035,863,210,984,632,761,733,505,
167,672,140,294,329,728,785,123,767,186,190,709,184,406,250,586,108,084,778,
531,008,741,796,919,253,013,937,627,331,461,024,895,354,672,048,132,599,470,
763,495,467,521,754,577,441,495,998,225,410,107,016,246,311,465,201,931,294,
473,646,246,654,719,334,837,490,642,123,198,674,183,656,330,188,393,107,410,
766,394,482,995,504,759,023,044,576,436,149,514,446,275,997,264,873,218,652,
503,281,539,223,796,010,851,331,334,601,924,477,184,670,420,863,409,435,734,
392,404,200,625,055,049,725,267,263,122,794,496,664,004,146,458,013,065,472,
598,409,145,014,243,203,181,827,976,177,479,210,081,028,396,049,660,305,769,
767,782,319,473,776,982,416,708,092,018,768,607,592,186,368,856,308,488,917,
515,262,595,907,424,094,032,259,157,123,961,963,587,748,453,226,198,397,209,
888,173,766,186,904,195,453,491,052,390,415,322,034,269,523,361,317,391,929,
983,321,246,088,593,872,546,881,854,488,514,258,804,462,773,160,415,100,353,
439,181,195,179,300,342,178,663,215,977,344,827,765,264,939,980,973,835,604,
446,650,134,990,061,720,120,123,556,321,420,095,868,221,375,411,493,751,243,
215,754,840,224,872,785,205,331,063,572,301,470,596,133,160,562,861,982,425,
891,189,944,373,498,697,098,165,077,077,987,878,156,864,270,875,381,730,391,
691,291,266,132,515,288,670,172,401,798,973,038,972,646,375,473,893,498,213,
651,672,403,745,080,494,643,659,070,848,487,212,965,345,502,711,368,921,963,
176,489,122,114,332,962,896,682,107,679,252,479,717,119,622,361,498,074,758,
740,052,761,314,823,313,438,584,172,266,892,742,247,838,875,941,601,076,822,
974,981,134,763,938,527,392,304,561,553,289,900,972,686,789,791,424,721,343,
996,982,148,743,383,597,157,383,872,574,306,964,889,915,935,437,662,082,899,
004,993,861,333,993,282,150,395,213,161,322,691,724,766,812,040,474,711,177,
082,130,211,945,110,592,609,655,019,506,358,478,969,733,678,751,454,265,515,
687,438,986,503,749,002,226,035,542,596,757,675,224,865,432,568,567,560,673,
968,914,662,321,145,503,742,514,612,538,320,455,909,790,002,735,930,491,557,
052,401,679,920,688,657,927,528,487,418,217,493,696,216,558,605,627,168,012,
014,900,371,495,256,499,309,277,581,985,978,620,577,214,825,482,266,460,500,
823,623,774,633,810,616,454,824,918,849,936,781,928,054,071,204,410,549,015,
386,616,957,302,588,642,054,826,136,549,629,215,680,220,854,220,115,356,466,
846,174,898,810,131,096,038,424,093,860,941,474,251,257,665,324,447,765,332,
660,738,423,511,787,326,612,718,957,811,500,481,715,077,695,803,015,187,484,
711,228,426,729,443,037,964,973,805,898,837,471,670,834,660,892,367,917,184,
252,729,768,199,753,857,440,313,007,879,901,585,880,072,867,789,751,715,200,
388,241,852,719,607,212,373,948,389,052,282,939,512,844,287,069,495,193,691,
740,899,812,734,098,645,479,312,908,788,268,170,044,198,065,572,662,653,792,
446,099,266,638,849,351,433,307,612,544,140,917,366,284,431,635,816,979,267,
056,934,254,498,032,212,338,282,282,269,612,001,577,765,494,012,812,054,991,
316,410,918,047,474,300,847,756,117,862,644,377,333,582,145,629,318,437,817,
242,644,093,281,772,394,108,764,782,428,931,575,070,389,722,177,457,104,650,
864,008,625,203,170,091,761,364,476,578,810,473,272,956,330,077,241,337,413,
841,336,228,791,942,339,840,166,387,622,142,820,010,529,391,334,312,923,758,
522,696,071,177,799,693,877,197,780,910,496,912,122,381,451,936,090,954,416,
651,005,224,519,018,330,615,556,030,982,250,092,381,980,452,441,332,568,932,
129,534,512,275,016,608,409,171,256,223,083,827,412,817,560,996,573,558,179,
748,234,510,486,164,704,570,824,518,957,787,098,526,587,834,652,541,435,149,
799,551,781,143,392,944,241,638,162,700,303,362,428,166,279,187,846,975,387,
577,359,981,098,256,374,900,179,316,331,692,692,505,525,850,673,118,914,666,
146,748,030,110,147,333,118,553,150,137,251,043,973,278,708,370,278,413,432,
065,230,491,070,601,871,637,215,084,844,786,450,026,378,420,707,655,087,720,
996,074,442,514,217,423,411,648,233,358,622,022,699,705,519,513,466,515,562,
588,643,603,723,278,752,663,519,433,288,914,591,234,818,843,213,442,564,961,
911,192,071,980,763,669,781,094,096,543,904,131,033,621,008,446,429,512,811,
699,064,986,997,412,327,311,387,285,011,458,588,508,272,395,975,140,715,706,
694,361,647,223,135,648,013,984,307,180,927,197,354,939,196,758,111,192,879,
655,733,877,133,698,230,451,537,250,265,750,894,472,837,129,615,868,127,974,
718,687,498,973,324,428,391,489,962,746,228,486,933,304,824,665,309,155,300,
116,883,360,466,464,842,193,012,396,687,188,510,689,850,529,328,935,420,402,
191,624,840,104,761,308,885,975,486,613,836,068,456,228,620,939,758,180,569,
040,303,952,025,363,045,057,342,551,060,586,027,303,261,679,816,668,630,764,
599,873,639,308,956,956,717,985,224,264,340,946,167,018,206,174,126,469,484,
866,901,439,770,201,887,519,396,885,876,763,493,291,805,418,269,349,210,695,
858,923,839,225,000,264,863,058,378,070,970,076,772,565,461,118,501,416,908,
759,009,045,297,403,062,466,234,877,279,095,719,155,641,595,075,648,366,920,
718,733,500,465,554,681,657,046,485,450,800,590,194,018,708,095,900,141,807,
855,043,782,435,176,915,100,591,898,307,229,867,084,394,348,538,065,023,411,
908,223,284,438,136,316,432,845,602,643,818,195,062,400,476,315,948,275,708,
948,391,160,074,165,500,267,382,893,654,003,903,429,725,437,112,909,394,417,
211,858,628,122,070,619,137,730,486,982,632,459,260,452,930,465,897,335,363,
815,007,772,220,093,664,375,812,109,803,297,147,547,819,904,204,162,164,534,
523,561,062,694,611,133,822,503,738,715,174,389,296,255,640,525,605,870,628,
392,509,503,545,686,376,681,779,177,933,653,746,998,676,066,344,255,555,305,
298,658,590,941,252,110,154,513,371,851,214,697,536,469,902,624,003,879,658,
808,012,224,258,075,540,202,584,458,003,206,993,851,220,075,634,308,603,595,
525,494,070,971,393,816,822,341,462,973,501,441,235,747,805,404,592,067,513,
055,710,720,431,168,172,186,053,071,225,307,446,896,798,254,353,508,704,954,
861,823,930,371,109,455,234,935,051,653,117,287,306,767,307,791,977,687,843,
022,974,689,065,487,413,753,338,286,462,588,554,735,709,323,342,575,378,719,
502,863,125,913,108,027,369,131,084,498,578,688,603,192,432,521,298,383,737,
172,533,955,026,150,234,854,494,723,556,067,602,701,566,097,928,241,584,986,
985,521,516,708,629,578,525,014,579,136,144,178,206,768,502,023,187,991,683,
967,234,948,173,869,409,607,516,825,205,592,283,333,778,018,301,779,376,171,
937,630,963,375,135,347,309,845,962,009,962,074,480,366,207,713,189,587,319,
206,751,725,171,237,728,001,458,546,447,080,473,852,793,349,085,422,310,813,
573,117,248,387,992,768,778,048,210,470,760,341,392,053,043,734,232,589,478,
622,392,083,339,317,730,874,203,495,887,103,533,105,082,328,293,141,986,073,
863,456,322,570,206,322,404,142,124,106,666,053,390,589,284,733,662,772,161,
502,706,605,132,015,908,873,002,735,285,773,288,658,246,907,130,805,535,274,
142,872,153,344,329,966,962,644,073,653,697,242,452,927,485,840,818,787,368,
675,054,582,761,515,701,275,371,330,836,010,924,990,467,515,460,343,499,248,
321,058,079,269,760,122,001,230,903,299,668,404,596,612,867,613,444,174,719,
608,933,194,714,940,370,913,376,211,564,903,762,138,034,475,417,783,946,045,
135,999,235,099,518,132,887,780,424,523,699,287,036,526,446,366,595,680,820,
515,125,244,002,843,536,989,229,358,635,534,690,625,618,820,947,275,232,214,
096,823,136,467,083,346,374,864,070,867,632,808,542,280,216,595,880,241,667,
305,192,317,222,839,713,858,502,027,289,375,295,990,438,856,009,234,218,744,
361,853,300,485,907,436,265,233,551,914,475,946,720,309,480,522,456,955,390,
717,528,037,904,954,282,096,821,398,975,903,870,363,445,963,874,068,958,279,
880,814,591,907,498,538,882,865,268,390,070,827,612,782,090,817,278,107,610,
362,622,317,008,163,335,086,348,257,652,029,444,759,780,287,362,683,019,741,
788,382,749,522,363,464,155,632,553,346,794,945,716,771,496,164,356,634,235,
552,339,107,322,357,167,821,256,897,095,591,002,958,141,049,443,805,574,014,
706,481,687,153,712,117,462,663,723,120,664,196,697,414,820,941,487,896,691,
438,612,582,487,982,228,270,164,695,791,574,974,538,048,915,804,165,209,460,
732,190,530,593,252,565,621,514,828,727,826,546,096,184,985,038,034,142,207,
946,187,007,755,597,905,797,625,972,968,133,221,676,907,105,045,567,105,348,
702,234,595,074,301,772,045,630,881,762,146,551,314,441,153,277,230,478,782,
377,409,919,445,610,075,311,881,489,426,998,230,185,533,538,605,458,615,466,
052,848,359,022,576,359,279,436,793,929,179,872,590,573,218,076,879,990,452,
288,151,778,455,019,220,969,183,253,344,661,258,721,064,483,677,979,954,608,
383,679,418,515,096,783,844,794,455,244,874,798,505,881,613,268,406,574,433,
592,952,518,719,721,679,646,368,004,770,854,824,381,553,791,280,153,768,673,
636,642,789,880,426,162,535,413,529,923,816,793,526,427,418,414,357,856,734,
707,375,904,692,653,938,889,902,810,333,293,881,821,469,460,770,598,164,994,
655,424,327,281,781,752,888,506,620,146,044,434,747,598,544,846,262,986,676,
280,452,219,416,755,932,481,100,074,280,166,595,372,640,937,411,885,193,021,
809,082,784,143,070,672,135,483,995,212,082,216,669,724,767,711,980,460,230,
026,900,253,614,386,394,377,155,042,126,702,986,509,852,168,783,027,714,751,
397,791,335,932,096,705,909,584,225,661,079,796,884,903,877,012,861,168,353,
908,536,800,870,654,616,854,543,406,217,925,726,013,612,162,124,063,040,094,
830,529,414,006,101,222,128,426,889,772,433,499,768,103,224,517,332,350,003,
215,026,927,074,656,686,878,993,327,264,933,929,991,467,979,575,382,314,516,
155,832,093,059,337,885,169,912,575,545,414,204,072,168,103,384,222,410,530,
690,122,268,046,858,386,568,436,341,952,086,759,215,366,603,395,068,450,742,
103,479,487,541,098,645,896,106,250,158,421,897,562,944,791,985,084,649,431,
129,126,584,351,072,886,507,092,769,384,769,137,028,850,420,196,428,746,135,
135,050,892,168,799,926,385,455,670,885,287,638,036,980,773,593,392,885,263,
079,959,017,250,397,011,137,734,889,225,961,355,047,551,600,016,481,332,447,
343,316,544,168,652,001,231,269,926,550,599,426,219,316,872,298,946,273,602,
709,958,030,623,188,156,435,592,060,288,153,738,191,482,392,638,751,783,703,
772,654,540,390,819,992,459,637,335,895,362,170,427,706,802,868,382,770,038,
332,370,165,001,825,376,949,908,757,299,480,707,046,006,063,031,662,443,709,
689,123,803,333,765,687,677,834,118,227,324,019,489,191,807,636,095,946,587,
886,734,710,576,299,270,781,311,135,259,912,737,820,220,956,372,420,187,053,
457,005,056,422,454,437,815,670,680,674,438,840,808,292,347,342,935,969,951,
896,790,046,930,171,107,738,838,487,092,045,636,153,356,678,794,013,198,683,
818,586,865,201,398,079,122,187,235,718,355,519,212,184,535,445,433,312,798,
064,417,243,031,495,990,368,047,631,150,579,289,114,193,457,624,433,175,884,
881,284,937,594,752,937,763,006,862,424,482,744,599,231,372,515,334,708,743,
910,286,574,816,834,311,303,941,282,356,554,096,546,561,017,419,372,026,778,
958,388,691,986,214,130,100,676,085,511,418,549,266,408,951,580,200,852,540,
906,069,480,129,277,881,108,335,915,415,689,575,571,031,669,603,506,150,046,
491,950,648,140,090,714,883,699,796,759,657,330,665,924,560,073,460,638,790,
110,383,618,976,300,811,013,103,581,116,918,921,222,379,353,767,916,919,406,
452,091,865,113,444,372,780,506,549,789,210,972,735,508,095,500,461,380,640,
130,641,565,314,932,013,358,625,250,203,419,385,427,020,297,718,746,461,813,
886,165,604,148,729,988,177,605,029,389,891,289,484,752,043,499,163,042,217,
584,154,774,490,987,747,749,632,697,248,551,841,217,625,974,824,871,142,108,
208,011,979,005,359,745,548,787,039,339,855,432,975,721,344,830,941,549,316,
321,371,088,318,857,225,968,454,011,454,751,460,871,306,545,340,397,812,935,
834,886,207,145,328,528,612,316,439,329,319,733,741,628,463,952,351,729,504,
785,358,089,690,203,494,246,159,142,201,636,124,650,723,891,744,667,265,972,
098,575,485,091,337,264,989,207,650,415,400,776,360,872,206,741,752,513,326,
179,389,828,471,867,758,274,730,519,051,027,462,774,707,384,761,186,174,165,
030,799,350,348,346,546,245,551,870,835,808,970,415,492,142,696,931,725,562,
249,988,451,669,343,637,269,509,534,342,085,020,009,042,532,557,280,746,755,
461,609,879,692,206,745,170,268,875,133,042,900,726,480,599,837,588,127,211,
178,777,522,910,465,862,998,609,318,709,237,115,842,970,632,203,944,241,823,
428,159,155,833,636,652,864,921,640,527,027,597,588,324,119,704,189,290,396,
704,233,352,884,819,748,946,952,941,612,644,518,265,088,949,906,085,332,633,
790,329,046,355,103,546,844,211,775,406,519,503,207,186,004,636,313,133,814,
493,053,649,300,399,949,026,916,039,362,035,832,384,629,520,981,972,419,526,
387,363,218,506,866,688,400,907,146,318,768,335,988,437,959,098,607,904,985,
801,421,567,130,231,915,278,252,377,366,177,178,714,356,318,374,261,473,160,
332,856,105,287,447,955,731,148,059,815,593,195,643,753,366,218,371,070,242,
285,888,755,866,059,020,998,477,460,482,151,810,054,885,029,396,336,237,388,
470,589,945,061,131,255,707,214,044,991,145,069,430,497,562,238,054,674,819,
602,015,270,041,097,243,923,400,105,795,123,121,946,840,450,616,364,379,279,
502,018,638,765,931,191,520,075,551,933,850,544,870,521,312,118,907,938,873,
009,746,463,284,558,659,654,840,421,175,400,815,013,885,720,822,787,356,054,
039,310,003,164,961,950,243,355,813,058,290,314,145,495,756,031,910,284,991,
490,651,032,132,977,866,272,999,854,651,109,296,394,442,229,891,379,316,395,
151,975,990,353,578,162,272,374,317,279,120,957,574,071,534,238,352,751,370,
508,775,941,353,552,417,936,573,167,076,291,839,276,547,543,120,851,631,410,
689,051,136,733,957,619,283,708,536,609,465,078,095,430,828,182,582,171,399,
935,570,552,767,713,713,560,997,925,975,123,919,038,082,278,049,661,425,751,
281,892,102,593,188,166,800,534,399,453,066,562,180,939,159,715,560,581,830,
544,290,390,277,073,962,542,266,036,272,879,334,632,344,759,509,275,650,486,
455,732,202,455,846,074,772,056,443,006,886,393,306,042,279,368,602,065,380,
194,798,290,534,397,186,866,398,376,560,589,571,228,277,810,242,118,866,401,
750,536,585,365,569,223,918,799,238,678,252,261,620,355,438,938,804,585,878,
994,524,765,118,942,992,383,035,042,818,578,709,148,296,914,347,490,860,981,
501,075,730,171,061,036,309,297,213,366,403,239,228,110,290,345,087,523,397,
175,935,178,838,112,811,209,496,002,038,609,540,586,357,569,632,452,925,396,
448,460,908,237,442,107,962,089,947,860,160,788,007,628,460,454,934,492,601,
405,421,157,541,905,973,787,923,881,796,858,079,879,748,429,604,552,155,291,
658,109,028,000,451,845,996,433,131,379,193,662,864,741,530,773,709,771,502,
823,580,005,287,177,430,373,987,387,647,692,006,110,380,895,024,607,141,351,
779,453,531,355,608,710,072,039,739,241,352,064,213,788,446,199,561,696,512,
020,105,278,001,483,949,302,595,433,525,519,448,497,782,033,990,060,584,636,
666,812,344,992,174,913,703,148,903,309,742,478,887,656,171,096,362,090,461,
588,275,320,703,676,545,572,392,858,985,763,499,780,002,227,864,641,575,167,
593,158,970,884,073,539,910,691,681,674,076,894,206,016,965,121,675,613,349,
648,364,696,530,384,476,443,887,172,994,081,691,265,107,694,848,980,239,351,
546,940,744,817,132,362,953,118,707,391,953,443,606,283,387,665,612,800,945,
326,312,299,784,363,961,560,657,623,986,090,112,852,966,175,495,052,466,626,
487,526,076,063,220,137,878,572,753,366,944,135,590,860,391,603,941,269,823,
804,187,491,395,073,142,807,655,730,817,021,935,742,466,266,327,137,743,097,
671,592,331,923,081,422,851,177,908,321,204,528,012,234,673,973,954,402,010,
015,677,540,616,334,532,792,715,775,086,239,509,167,125,208,081,660,064,284,
356,613,789,119,811,970,577,493,495,710,327,340,106,845,587,391,529,498,222,
507,285,972,414,409,685,161,315,959,190,062,708,593,338,537,544,227,284,701,
214,954,777,987,017,884,363,646,200,738,162,191,959,362,244,793,400,610,826,
434,708,704,889,700,986,038,719,148,357,010,914,850,483,722,360,828,848,710,
298,961,603,633,267,835,042,274,505,946,591,265,445,690,143,066,779,517,084,
890,150,056,209,669,290,276,532,185,374,792,408,900,209,782,400,737,880,061,
028,205,490,144,947,449,264,974,054,657,590,997,933,426,513,142,189,131,458,
406,698,605,280,510,694,488,699,108,332,707,800,486,617,147,828,792,288,224,
653,731,353,748,960,112,289,806,238,895,071,093,899,848,960,463,433,874,333,
781,613,543,008,347,583,439,552,939,141,247,539,609,020,461,951,688,266,965,
069,351,948,863,826,273,631,063,333,441,327,525,394,212,193,360,384,546,284,
481,186,226,506,678,774,387,892,778,994,319,057,928,169,427,010,276,924,121,
214,193,499,369,029,680,893,492,553,458,632,204,388,646,776,419,163,885,713,
346,569,479,467,988,639,666,420,899,928,011,775,499,289,457,416,588,229,061,
836,824,822,186,906,044,603,790,932,536,890,047,843,275,826,802,396,117,651,
443,705,415,906,192,843,027,525,559,924,615,978,082,374,931,790,597,957,661,
380,898,687,269,338,785,991,083,202,966,601,237,915,574,587,981,766,850,269,
140,748,746,116,405,385,170,028,030,122,846,533,226,070,271,550,965,773,001,
722,631,824,597,390,877,171,574,467,050,855,139,932,435,668,453,243,415,735,
499,877,570,566,017,584,385,008,143,720,374,448,036,449,516,514,179,567,169,
458,821,951,931,199,098,223,802,467,524,503,440,713,227,663,440,780,767,937,
039,544,083,475,150,777,753,076,968,382,081,050,057,070,839,473,824,618,430,
742,080,017,372,487,056,622,087,067,363,451,093,658,282,513,924,565,910,754,
979,267,347,357,849,114,474,020,522,610,869,300,167,591,318,598,100,233,681,
665,753,070,595,732,223,715,540,052,865,634,378,168,311,811,305,768,671,735,
347,796,434,526,827,342,378,590,121,540,727,284,882,925,531,060,383,036,419,
316,373,181,255,748,690,012,483,224,669,368,178,738,419,566,387,620,756,290,
521,796,369,833,192,784,279,851,420,127,817,091,894,287,360,288,014,491,799,
385,491,710,086,085,376,248,934,319,923,445,605,531,029,659,359,601,253,446,
083,504,911,704,061,944,992,808,030,919,126,377,297,767,960,369,948,084,561,
529,062,870,144,349,715,600,979,710,780,672,704,531,553,275,053,360,356,642,
442,650,165,339,971,571,246,424,584,982,611,536,374,938,907,002,649,101,642,
732,348,998,443,462,242,450,089,615,305,230,026,275,702,871,316,587,402,735,
669,300,075,062,285,703,672,746,514,787,390,107,966,156,938,558,849,600,225,
028,622,863,447,375,686,918,214,724,369,877,772,446,010,952,913,908,520,031,
841,346,873,101,212,925,400,384,216,682,777,001,276,451,798,777,646,043,780,
674,874,151,832,074,445,709,417,534,904,167,729,101,090,878,963,383,056,222,
482,014,547,159,983,083,465,927,046,058,571,148,945,131,507,433,918,352,610,
414,940,953,956,106,862,805,271,976,516,632,089,636,463,940,153,013,352,414,
904,413,958,989,075,333,895,758,960,443,896,593,352,762,791,492,870,418,563,
742,508,307,520,069,484,759,680,652,110,098,477,953,054,311,920,543,823,633,
127,672,238,152,672,414,918,969,901,377,797,722,217,582,648,330,526,792,310,
918,282,148,821,543,791,871,658,881,388,595,840,184,100,036,317,987,987,468,
714,161,315,093,085,185,035,755,089,479,546,355,169,684,343,820,427,347,265,
192,771,152,195,742,287,093,583,352,325,778,210,289,932,900,985,756,765,961,
926,166,980,392,730,081,216,147,685,633,265,201,678,885,002,026,107,875,437,
146,383,161,748,317,527,370,093,750,289,278,143,140,957,662,625,660,648,877,
573,332,481,454,082,961,511,936,262,657,437,522,579,966,531,722,733,022,523,
109,993,679,284,727,602,928,702,458,770,566,587,857,621,590,170,947,428,562,
582,985,156,312,918,445,572,089,439,620,229,561,731,958,943,463,546,098,900,
056,672,741,858,402,180,386,012,172,878,908,359,349,920,291,014,976,398,918,
471,841,877,313,192,329,556,419,359,267,615,957,757,174,399,090,725,904,153,
583,344,610,051,443,237,221,058,770,678,744,241,622,229,955,125,847,103,637,
873,337,508,246,254,994,228,736,315,386,616,261,097,030,672,403,351,162,693,
979,717,660,254,592,453,328,677,700,516,537,752,160,661,466,395,241,246,092,
174,351,523,934,877,681,690,527,199,259,566,145,921,995,021,713,883,118,299,
156,699,148,391,202,994,704,418,518,506,003,164,072,984,890,423,143,553,639,
399,642,106,928,673,177,265,409,357,434,247,004,303,597,995,419,475,209,492,
249,673,573,280,914,176,478,643,796,471,079,700,486,405,181,877,979,569,457,
595,519,386,636,134,806,587,214,380,173,804,530,125,468,215,311,408,577,480,
206,807,615,755,357,802,012,256,111,608,220,764,442,394,285,135,587,841,897,
603,570,268,047,512,458,988,508,911,353,288,401,044,236,925,084,627,467,112,
794,091,945,553,596,989,192,506,414,498,976,877,233,544,552,350,502,365,266,
996,061,899,159,579,070,030,526,265,245,390,853,852,374,541,864,521,208,059,
203,239,537,119,130,170,526,337,281,032,078,595,130,205,986,701,240,703,030,
218,950,252,885,093,465,292,393,172,255,107,848,790,497,416,859,274,344,254,
945,708,335,852,409,706,213,967,059,551,315,669,919,155,914,581,471,020,365,
637,171,651,906,704,927,697,942,194,169,172,933,753,778,528,529,648,149,725,
655,618,552,282,935,203,224,597,127,462,336,354,405,316,582,128,574,965,193,
754,010,040,480,983,801,038,764,622,123,450,575,228,453,122,021,834,949,928,
166,628,320,522,342,158,105,333,539,698,163,688,288,352,088,239,503,638,149,
192,148,160,467,863,349,064,937,881,518,886,967,491,068,539,125,549,978,259,
066,213,581,113,686,793,834,149,974,576,303,929,641,222,034,868,752,643,812,
000,352,049,802,622,079,236,688,318,379,408,897,230,059,100,781,836,344,807,
749,242,685,532,273,777,923,335,789,839,479,462,217,448,403,043,968,819,796,
792,679,790,001,567,414,699,438,997,096,803,610,833,132,456,835,711,534,730,
052,259,406,283,656,054,152,554,889,560,467,691,029,616,520,283,120,156,744,
091,187,818,016,862,680,938,157,627,824,143,072,989,216,875,007,832,056,839,
126,865,093,036,402,545,963,789,159,020,254,468,376,276,756,981,846,838,011,
760,992,954,966,641,959,541,049,099,188,785,966,640,177,482,921,907,631,642,
290,096,717,342,113,961,816,131,496,216,473,373,453,731,916,419,382,937,776,
112,224,826,051,792,994,236,347,723,780,637,284,715,510,645,773,338,486,522,
190,833,543,203,764,215,819,826,775,933,281,706,636,265,690,487,707,560,713,
614,881,594,785,243,233,668,507,943,260,845,875,067,800,281,832,056,411,633,
129,181,811,393,424,317,603,890,102,605,003,260,623,927,971,103,170,153,471,
661,442,205,745,531,531,614,241,454,957,446,149,984,072,751,323,688,818,408,
344,522,987,457,259,019,659,059,241,692,181,528,938,180,781,038,410,044,100,
910,420,208,609,461,022,854,340,228,156,634,846,956,669,927,435,921,722,852,
865,701,555,048,912,389,316,732,024,484,495,358,165,657,872,865,520,832,831,
871,170,665,114,388,675,055,269,654,876,893,053,036,458,731,388,702,826,525,
913,512,960,092,832,128,263,003,785,797,271,839,761,515,474,562,413,842,320,
174,494,927,480,278,547,765,217,400,209,127,955,566,352,243,854,693,543,123,
062,796,822,345,002,282,699,928,634,973,075,506,395,726,644,918,345,563,204,
054,142,114,890,380,864,141,817,456,163,115,785,972,986,513,583,498,867,674,
885,188,883,713,443,200,717,627,657,022,904,333,343,708,408,274,595,976,995,
969,531,208,251,618,005,236,159,879,284,862,775,958,238,833,587,981,273,927,
553,464,728,801,678,685,756,652,782,900,533,604,532,699,070,741,310,614,837,
985,775,943,252,980,925,216,237,201,106,522,781,612,402,221,678,374,447,798,
852,320,403,694,065,043,659,351,955,395,294,847,852,780,404,823,338,359,958,
546,448,812,255,867,705,959,937,646,131,702,499,279,803,449,710,731,944,537,
878,180,427,607,621,693,249,208,382,368,682,145,415,051,753,495,328,035,455,
802,042,312,760,044,369,491,243,495,930,157,047,631,897,413,684,685,343,071,
339,417,912,937,144,026,483,988,937,771,182,372,931,420,274,530,689,561,434,
747,074,741,622,130,646,218,381,252,227,840,643,543,864,585,171,103,118,143,
103,551,562,392,917,526,509,566,775,987,375,909,220,390,180,693,525,336,112,
342,456,892,900,994,678,764,251,182,892,738,679,625,523,166,357,640,171,265,
330,479,458,217,347,298,346,518,311,091,244,559,741,656,513,770,884,915,819,
759,025,620,071,495,593,947,443,702,767,023,960,639,035,091,049,147,672,168,
805,011,657,185,489,162,786,942,622,191,371,369,018,748,048,106,771,373,318,
096,686,573,999,269,203,318,301,651,608,980,301,648,602,590,071,641,632,650,
443,670,754,274,108,731,266,953,037,079,333,235,468,613,104,500,721,975,673,
585,257,642,868,141,407,772,086,021,248,008,437,657,780,602,633,086,786,389,
527,219,417,326,131,084,073,909,262,562,959,007,957,115,472,485,848,575,805,
033,908,925,036,274,903,621,596,822,558,316,873,380,294,319,748,649,898,800,
016,167,835,253,583,160,259,853,668,970,684,090,101,631,638,860,832,447,167,
675,947,828,264,068,926,119,855,925,810,652,739,033,031,161,514,570,767,324,
300,454,747,260,529,629,189,360,908,473,702,341,565,238,557,525,545,427,678,
633,761,497,744,287,240,877,468,572,650,105,405,960,749,256,441,911,330,415,
059,182,690,972,847,067,205,779,830,977,568,689,381,879,932,015,097,278,843,
432,393,556,097,246,258,130,534,418,583,034,890,548,667,521,969,544,646,121,
393,875,120,630,184,165,530,034,187,125,665,407,228,133,155,176,089,341,122,
920,271,413,068,746,953,637,236,882,569,868,935,674,987,275,933,175,240,996,
515,423,682,864,029,968,993,782,432,199,810,699,874,197,770,161,934,085,261,
995,360,745,463,813,760,541,525,753,071,757,521,409,690,263,800,281,617,747,
997,908,237,225,376,330,086,190,263,139,796,284,981,746,367,249,797,453,917,
148,774,393,788,181,380,277,080,981,770,364,652,645,862,127,712,600,011,131,
631,049,673,341,104,820,948,511,073,219,219,417,461,356,574,420,985,167,886,
507,525,525,228,610,672,636,333,318,905,199,278,954,784,721,619,013,818,710,
047,055,931,548,452,039,488,275,429,618,625,610,831,344,632,676,652,263,086,
913,789,002,904,653,768,605,009,703,413,399,148,295,596,238,164,568,612,197,
343,136,998,994,721,008,521,311,521,102,677,738,801,850,899,128,069,386,687,
331,747,980,361,283,212,964,105,848,397,141,593,749,906,533,286,573,682,122,
999,825,249,337,270,606,054,868,404,856,178,983,748,353,368,279,832,253,242,
880,292,107,004,219,881,749,366,965,552,823,793,210,532,429,297,051,249,517,
583,844,235,280,162,424,661,877,929,737,278,177,228,733,246,318,910,713,447,
987,707,894,624,103,184,508,816,262,546,996,636,747,395,344,649,670,309,564,
028,934,239,919,032,673,902,222,321,304,944,501,488,438,554,674,281,660,438,
348,408,927,251,047,606,142,365,668,026,971,859,771,678,325,393,997,077,889,
465,017,473,709,795,285,449,250,443,270,268,303,419,343,020,819,563,691,631,
782,305,114,940,172,229,830,003,043,694,787,956,801,795,447,269,282,786,243,
224,772,821,793,818,600,031,139,892,248,273,548,098,492,547,309,424,520,349,
563,230,284,928,386,356,367,736,302,581,881,458,346,321,941,402,378,167,876,
936,780,161,376,131,509,164,768,538,819,119,433,176,184,617,691,786,278,444,
702,825,281,193,855,197,525,845,556,249,952,683,502,271,342,394,674,869,450,
442,443,008,859,388,373,829,060,395,863,856,493,995,808,343,494,387,054,319,
164,047,481,635,845,093,081,368,329,673,867,097,313,304,035,211,109,517,324,
423,255,315,907,627,697,583,812,326,214,390,392,119,364,976,621,429,730,169,
584,058,686,416,093,979,318,525,716,633,092,306,881,154,442,441,492,321,176,
766,519,810,868,647,657,418,467,269,082,160,225,899,182,368,144,208,410,347,
014,579,611,182,265,638,461,586,346,486,653,525,348,575,589,044,969,119,962,
933,307,474,967,169,940,221,621,277,110,587,232,544,098,983,783,785,495,778,
629,950,169,823,008,926,485,053,629,133,145,930,410,324,149,474,632,864,051,
736,932,987,030,590,489,373,265,202,864,382,628,009,298,123,403,754,142,254,
380,588,674,638,555,314,903,579,072,876,700,868,267,066,944,952,578,804,429,
378,962,703,213,580,308,419,289,525,786,221,467,855,266,031,709,691,056,862,
351,691,180,859,437,805,172,113,142,275,719,840,963,924,418,040,713,638,515,
950,284,163,530,477,312,390,445,729,786,780,287,747,077,944,865,792,708,901,
992,263,930,931,101,518,851,332,806,268,611,392,346,884,650,607,246,574,205,
613,778,580,397,811,450,748,638,312,972,566,959,241,026,263,655,751,551,221,
904,158,127,364,698,113,239,841,488,965,834,177,398,974,737,919,310,200,003,
689,438,687,628,431,674,439,064,960,849,667,594,032,880,940,202,137,429,453,
408,884,232,261,294,544,326,423,507,749,511,100,266,971,727,034,753,218,413,
929,083,249,912,224,299,020,435,919,320,648,636,871,959,884,267,539,283,035,
619,731,604,058,746,689,318,513,220,346,359,854,302,330,232,036,572,303,699,
879,393,594,922,015,206,242,271,068,042,690,367,058,677,757,699,574,746,984,
127,061,199,787,329,112,136,477,388,370,701,975,402,674,911,388,878,691,811,
540,875,495,647,716,339,301,382,557,915,988,496,115,969,363,106,858,263,873,
069,751,817,842,604,572,927,975,917,677,825,136,936,131,775,831,859,559,965,
282,567,423,722,966,416,843,342,877,727,350,060,313,272,085,981,405,899,240,
348,803,517,080,767,211,547,534,738,370,279,741,118,604,356,373,053,049,433,
980,640,916,247,633,669,670,852,214,940,891,268,911,102,644,803,296,570,838,
974,227,073,766,521,242,436,752,086,650,257,388,322,081,239,263,464,639,246,
430,552,326,525,008,404,702,511,461,165,596,297,448,551,775,807,258,779,100,
889,969,584,816,662,608,771,947,394,592,220,062,865,319,611,553,743,417,303,
485,498,749,037,299,494,048,016,443,138,077,460,460,590,901,380,637,888,365,
778,373,886,281,205,348,317,017,242,201,674,800,885,446,848,800,058,072,426,
682,941,750,973,142,635,134,844,914,085,582,405,217,326,250,913,296,125,988,
385,618,016,072,124,613,915,486,743,911,181,239,003,983,377,569,115,900,007,
350,215,241,974,596,792,559,329,386,439,295,645,999,616,589,739,894,851,849,
326,054,201,760,117,539,622,337,038,323,116,972,100,740,068,485,176,490,714,
920,716,718,513,578,310,304,533,330,811,293,895,755,366,006,475,111,934,857,
115,307,746,327,512,587,320,757,983,855,930,728,095,170,859,999,312,006,292,
605,214,478,511,016,543,942,571,210,288,899,096,922,537,102,740,058,124,738,
725,044,417,882,449,383,727,204,664,600,065,746,214,705,403,713,271,674,958,
973,549,253,351,076,504,135,780,126,196,490,400,997,904,211,876,590,646,337,
602,427,459,858,081,944,404,243,962,741,575,628,871,820,479,883,344,799,966,
570,551,865,113,771,856,615,787,678,695,400,325,323,553,029,022,491,624,851,
043,614,778,667,107,533,412,553,488,437,339,632,684,674,647,568,275,149,344,
484,380,646,527,726,223,449,862,960,722,998,126,624,699,844,366,754,133,858,
523,776,493,288,018,362,669,867,425,430,448,870,168,828,784,348,675,844,231,
573,822,658,193,258,511,094,582,888,262,945,746,645,978,640,111,336,348,810,
539,580,213,276,655,073,003,799,598,750,655,395,765,993,983,999,817,312,063,
160,848,825,033,587,821,186,896,189,744,170,889,116,809,428,024,199,219,281,
857,426,908,341,680,676,564,659,862,596,100,226,565,191,637,670,770,551,829,
792,331,230,762,678,068,216,679,885,614,233,884,673,284,939,331,402,512,689,
047,409,531,014,693,666,892,778,315,338,223,309,286,260,784,063,411,895,545,
170,646,055,237,201,227,881,776,259,236,280,502,437,816,234,885,506,655,003,
093,826,331,129,404,763,652,593,724,428,834,484,008,081,397,792,198,171,149,
782,790,971,481,346,696,776,300,096,340,097,799,053,223,938,754,984,915,418,
457,332,034,530,058,237,812,057,635,471,255,116,247,196,617,304,779,815,668,
473,915,571,387,973,652,369,346,780,744,934,845,597,026,183,976,472,618,429,
198,002,824,013,865,353,208,070,224,783,005,407,096,059,882,411,439,535,056,
234,055,998,186,519,282,873,265,093,829,888,824,800,361,502,319,218,292,235,
516,609,266,555,685,007,832,299,457,333,259,817,430,261,208,647,766,641,912,
540,921,849,718,509,575,025,996,562,225,567,000,579,038,607,718,168,809,130,
836,394,328,720,686,048,142,069,470,307,892,051,979,160,616,225,921,698,332,
715,123,735,140,578,771,030,650,023,305,299,565,051,594,681,951,834,023,282,
470,486,542,166,414,370,275,590,865,699,754,185,469,142,600,668,706,055,068,
956,720,568,943,922,725,723,131,146,516,693,868,460,730,980,641,033,265,423,
146,530,861,698,971,683,721,864,470,800,123,834,667,810,006,158,608,740,419,
336,821,896,900,186,218,685,008,642,491,535,958,100,927,124,332,864,234,398,
370,766,702,230,787,919,967,321,142,862,393,807,597,803,525,399,194,690,660,
524,689,822,530,750,769,593,106,617,109,072,723,019,671,248,723,592,514,033,
185,046,711,638,543,713,498,812,236,656,666,228,257,537,212,346,854,726,732,
072,394,736,443,495,729,088,067,566,764,184,505,101,299,035,945,407,335,985,
282,074,315,808,635,519,688,669,815,267,738,314,151,483,044,118,321,361,495,
599,563,205,914,647,833,453,264,985,745,068,745,571,772,853,480,855,623,447,
177,777,352,918,399,671,784,861,462,480,650,754,977,797,473,489,419,816,609,
500,413,035,485,408,206,224,314,999,863,270,337,778,184,294,774,301,309,783,
091,022,432,788,744,117,340,260,693,532,799,082,306,422,457,220,046,902,324,
365,989,396,429,501,573,291,118,831,208,918,467,209,739,171,764,059,736,122,
544,848,194,960,362,953,228,320,867,435,709,022,423,701,989,205,482,457,501,
035,545,386,025,620,859,588,066,323,498,401,317,491,655,531,518,110,238,583,
303,466,810,253,095,533,679,075,109,722,503,227,539,734,337,171,657,496,237,
288,352,793,236,319,868,247,030,495,273,501,589,148,954,680,887,616,755,041,
307,022,557,000,611,089,353,019,063,133,843,531,448,098,305,972,792,965,226,
846,805,633,619,677,260,345,430,946,870,638,602,630,396,249,475,135,352,928,
572,873,746,113,284,644,221,772,773,695,943,172,639,355,937,555,419,460,625,
405,209,983,372,318,911,461,234,751,730,445,754,382,388,382,709,559,495,929,
069,540,222,650,453,714,093,500,550,220,106,250,646,431,721,618,913,441,534,
113,897,352,591,183,425,134,901,486,415,415,181,466,451,195,917,918,727,210,
317,491,418,158,565,353,083,235,422,530,171,872,922,834,784,891,334,969,728,
239,401,097,703,757,505,089,856,828,238,465,711,384,545,406,964,711,841,510,
087,638,898,091,009,697,349,171,606,872,165,939,399,115,114,555,771,769,801,
140,760,963,343,005,917,336,282,671,012,082,553,679,907,804,056,922,542,328,
248,542,196,106,293,961,717,634,457,549,105,699,341,632,781,316,092,473,359,
895,479,087,810,767,726,438,748,706,963,822,959,273,056,484,237,522,884,047,
915,820,861,955,449,139,275,188,797,562,776,398,708,393,278,286,137,681,153,
008,440,528,291,655,374,593,744,759,905,940,263,333,438,009,945,474,075,929,
415,737,711,626,893,653,316,663,239,386,237,407,966,509,238,165,535,991,679,
491,280,541,497,345,949,824,407,415,956,299,264,627,823,879,756,242,695,896,
874,446,125,764,952,008,209,464,959,347,893,619,511,623,804,555,396,350,849,
121,304,460,657,798,723,778,427,387,083,163,678,362,589,991,325,142,035,631,
981,344,888,850,242,567,277,762,671,741,458,090,296,154,918,733,711,774,615,
611,863,801,754,423,490,968,925,844,074,114,735,876,797,904,011,620,354,725,
344,986,806,616,509,146,847,349,123,180,248,891,484,079,077,102,311,879,441,
115,169,050,171,916,167,942,522,614,888,609,105,640,016,069,794,951,660,766,
276,922,933,439,731,146,496,587,359,315,862,223,622,051,510,823,792,860,567,
389,362,572,418,343,436,534,682,862,455,530,146,648,616,516,721,342,653,557,
485,903,091,418,898,674,870,862,633,503,950,007,934,046,803,330,186,607,542,
063,168,728,776,785,231,329,136,927,573,543,812,258,321,404,121,333,657,670,
343,074,175,823,506,937,646,015,459,083,915,712,420,944,235,173,590,104,493,
236,319,126,534,404,868,934,869,416,983,312,799,267,949,882,866,944,591,935,
427,805,047,024,256,027,810,467,924,243,703,312,321,499,098,700,488,534,620,
449,414,493,392,788,943,839,444,116,480,592,540,032,392,737,213,888,797,711,
453,477,563,117,593,875,764,348,528,740,154,146,769,826,673,588,333,268,573,
121,217,817,525,944,660,304,531,373,133,753,261,198,164,758,741,288,613,788,
695,506,577,973,436,501,607,784,484,584,037,769,901,490,519,895,122,836,857,
621,263,285,707,244,928,846,722,988,669,138,990,876,159,435,153,012,421,856,
777,525,793,730,187,308,690,257,959,575,839,128,936,485,688,766,573,285,628,
987,722,141,974,066,716,367,106,187,671,923,227,461,954,059,576,474,281,046,
346,513,176,778,680,471,245,416,672,021,244,331,762,959,791,378,737,669,546,
080,241,306,783,407,901,521,225,635,161,979,128,039,579,149,166,438,604,353,
404,212,194,423,654,735,996,833,463,912,873,688,047,207,773,866,003,780,439,
091,336,106,950,701,139,649,962,447,003,101,512,374,745,868,947,060,211,669,
782,610,842,161,603,829,528,350,090,045,044,113,428,758,559,768,439,250,079,
346,690,268,809,947,122,905,614,522,770,586,737,086,763,174,551,701,636,937,
373,284,950,142,404,836,863,489,764,330,472,738,800,194,007,479,935,515,417,
099,105,720,121,739,583,014,965,196,344,726,780,979,421,072,100,900,649,666,
457,927,222,477,854,112,111,805,076,309,035,592,976,156,589,186,632,213,952,
070,710,303,889,420,353,118,004,638,733,083,643,568,752,162,763,489,222,426,
385,078,284,221,321,061,340,692,766,582,583,931,803,491,804,487,552,997,113,
741,076,662,688,532,851,255,044,077,002,698,402,605,411,719,073,584,729,448,
432,728,756,406,992,708,623,463,517,637,561,605,546,149,027,649,883,506,072,
650,120,064,828,038,495,279,606,701,174,925,653,392,825,590,105,512,861,296,
412,465,801,347,401,419,778,723,587,336,823,764,570,511,065,366,629,549,433,
029,616,555,007,073,784,825,517,621,149,870,144,564,060,426,393,424,759,700,
603,929,577,436,031,334,463,361,567,573,679,128,175,348,893,496,016,347,399,
691,534,913,694,033,831,887,089,736,229,611,770,808,294,915,642,000,044,340,
575,972,817,047,512,363,208,387,053,793,010,682,376,605,890,001,198,422,121,
874,732,470,901,520,109,934,822,130,709,132,226,286,017,623,769,381,669,756,
137,838,535,870,726,266,750,616,009,503,429,249,466,434,965,149,875,149,924,
139,556,949,693,789,393,875,803,697,860,704,860,239,140,022,698,752,692,852,
500,022,663,459,356,429,917,317,998,429,615,449,541,347,341,036,871,170,397,
666,828,660,197,459,612,497,646,773,966,760,567,772,283,334,887,860,702,584,
630,010,955,995,777,658,844,454,376,544,722,229,046,901,530,332,566,328,930,
218,014,252,420,591,381,192,081,307,493,164,858,561,217,662,355,665,272,862,
608,046,445,359,898,592,374,626,817,190,179,357,123,582,476,497,057,389,810,
466,888,324,072,132,328,612,201,341,810,845,510,541,226,134,768,891,341,487,
590,843,081,840,571,871,722,778,683,029,290,689,680,834,898,563,444,378,876,
009,308,420,211,372,971,411,664,123,202,294,056,232,510,438,077,017,538,668,
825,955,372,348,934,334,490,154,810,292,429,398,118,215,838,112,644,269,515,
830,928,338,946,909,602,712,137,117,304,184,849,691,561,777,382,224,816,738,
423,518,437,757,153,492,174,334,993,656,927,807,671,774,066,942,939,125,358,
969,457,056,240,722,332,453,538,527,540,506,347,968,800,522,722,790,504,661,
903,634,607,167,158,932,355,908,202,124,625,804,228,861,220,749,277,691,612,
245,802,716,528,563,466,777,110,306,325,671,722,325,545,501,314,575,885,252,
863,483,840,650,866,407,171,182,699,696,408,651,814,148,490,774,975,458,537,
725,446,800,602,926,141,177,651,731,298,404,767,859,955,857,786,608,243,689,
866,261,823,835,159,382,082,563,835,203,345,019,387,180,254,945,342,721,934,
305,723,283,686,429,734,917,021,421,641,456,616,148,747,487,293,889,716,245,
352,605,824,647,647,214,953,457,058,834,479,619,100,181,380,494,791,111,609,
815,230,824,536,627,446,029,442,586,662,595,766,272,086,173,038,860,149,517,
721,002,962,533,668,478,631,835,411,542,667,659,573,262,023,621,141,385,558,
127,735,821,734,977,940,936,883,833,484,810,468,567,803,472,374,899,664,479,
876,789,127,114,874,696,792,952,341,441,734,658,362,231,613,483,630,414,021,
429,730,030,829,043,623,707,791,052,603,661,740,338,625,836,478,284,433,473,
843,095,159,332,720,197,381,125,282,899,464,383,809,722,864,371,321,364,412,
902,852,236,010,781,473,531,011,573,005,202,434,751,678,352,752,234,083,916,
639,169,260,931,484,200,513,862,921,974,479,485,351,319,668,948,972,695,151,
942,014,223,351,491,568,984,311,883,313,087,399,948,884,631,864,685,468,899,
766,607,325,588,850,566,306,777,017,153,692,333,986,015,381,879,645,515,676,
430,691,355,453,740,395,389,728,345,365,045,862,623,007,348,552,740,598,415,
022,887,226,692,740,457,789,848,491,908,435,230,383,610,652,536,194,388,272,
861,489,182,379,264,611,012,000,298,321,415,246,137,402,685,367,831,722,129,
448,623,526,116,834,643,570,421,777,068,817,572,852,025,746,369,472,413,886,
325,270,591,972,211,263,091,348,545,627,094,249,057,451,353,609,523,887,011,
266,774,088,976,020,440,499,091,409,800,187,321,871,312,594,207,310,134,874,
421,154,119,047,918,416,832,756,372,281,892,087,280,064,904,258,970,119,778,
817,245,079,956,502,911,083,370,995,650,434,255,318,817,638,312,133,667,388,
408,670,803,707,947,636,160,448,084,868,765,230,607,482,101,865,990,236,627,
448,137,139,545,023,609,103,788,685,240,081,815,256,509,224,073,005,929,438,
939,155,309,975,905,428,116,386,613,129,182,130,662,092,102,611,266,110,792,
480,832,288,552,272,095,742,899,910,103,709,800,398,672,320,090,087,275,327,
360,719,955,567,216,675,874,683,439,356,952,524,312,427,879,411,503,336,397,
189,532,050,641,564,491,689,350,310,740,192,396,219,865,589,965,172,713,422,
887,599,187,364,083,891,288,018,121,497,488,301,559,450,040,861,480,050,441,
228,691,339,342,900,407,136,795,478,400,280,512,602,620,786,587,741,647,529,
477,750,704,458,917,462,673,358,250,185,907,034,510,468,541,161,290,454,855,
138,100,231,627,307,748,133,666,367,588,509,945,163,041,679,337,747,032,864,
985,515,967,158,820,166,227,594,877,125,463,689,493,955,025,605,286,835,345,
339,736,180,856,671,676,931,921,022,936,180,495,640,536,030,430,365,453,845,
092,644,545,617,342,140,917,727,354,918,188,742,243,106,736,496,326,177,508,
398,298,632,898,541,059,813,690,647,715,381,883,262,049,579,331,747,741,776,
548,112,755,410,252,910,866,082,474,645,574,618,450,108,454,857,195,393,009,
212,948,228,006,400,152,428,800,725,732,833,586,722,295,563,973,801,218,898,
406,824,956,858,846,431,672,497,156,346,353,608,784,508,436,613,545,480,436,
254,454,140,947,898,190,473,696,568,650,544,694,454,210,836,597,106,033,703,
817,918,531,887,011,589,724,940,242,488,444,705,154,295,074,027,183,825,605,
407,060,735,765,668,097,247,402,339,231,607,924,152,072,154,315,661,760,921,
744,591,689,839,333,874,680,575,671,226,962,115,248,466,234,650,239,416,300,
110,979,077,464,323,355,951,509,739,400,872,283,045,410,715,400,226,702,065,
079,333,495,053,332,845,794,016,029,936,278,084,716,266,782,832,882,614,579,
053,009,825,327,502,045,102,016,213,915,586,830,121,237,149,068,015,671,024,
696,341,892,164,819,551,859,639,508,596,427,587,651,258,504,339,128,223,455,
115,487,200,451,734,588,305,238,535,995,127,160,262,901,363,974,474,257,533,
264,055,503,848,110,476,808,799,397,609,452,828,876,834,056,094,722,194,451,
059,294,399,601,220,868,806,902,247,521,836,492,615,089,016,412,784,203,614,
632,547,154,131,634,438,759,807,529,320,837,963,447,369,585,702,231,103,875,
869,129,454,111,344,824,968,454,203,627,102,551,816,293,942,286,602,820,249,
196,140,329,671,757,518,140,147,856,090,948,169,888,663,392,507,607,854,613,
528,843,220,911,121,361,535,401,690,010,505,334,465,736,564,864,706,073,449,
494,171,710,580,478,097,961,501,784,845,325,112,458,116,179,307,000,657,210,
624,436,556,966,000,459,471,737,213,898,858,250,100,974,160,574,359,868,744,
852,580,723,877,746,707,762,253,806,466,244,393,358,014,478,330,243,563,537,
293,717,248,632,670,142,737,768,638,916,881,568,717,133,674,648,459,625,710,
433,306,804,315,756,682,244,207,365,967,298,574,945,055,389,530,879,231,218,
949,135,096,170,154,022,506,790,295,790,045,604,822,499,488,774,311,570,725,
250,891,638,530,873,826,880,250,891,765,643,221,185,397,077,326,799,488,721,
582,877,683,377,045,807,822,654,924,338,744,835,793,973,764,277,384,983,474,
669,122,897,785,442,436,547,243,724,645,722,986,034,085,203,628,238,160,021,
458,963,440,570,911,866,890,088,485,670,011,785,963,819,281,206,901,770,311,
512,274,098,899,871,824,611,182,561,238,000,122,021,644,111,634,757,383,180,
084,910,947,742,661,384,891,271,906,732,087,541,351,038,643,455,634,512,704,
218,157,563,265,356,824,648,194,486,222,131,461,822,893,971,012,743,685,171,
734,441,502,385,375,819,131,030,172,527,728,338,936,936,237,477,623,009,998,
392,521,593,580,849,794,360,990,097,842,441,968,001,112,106,073,474,679,580,
147,723,540,241,916,561,747,967,420,219,013,362,944,641,883,544,737,588,078,
791,302,543,054,859,602,022,127,824,403,006,936,271,115,444,547,032,501,567,
833,881,775,858,925,528,731,438,653,002,549,357,852,262,032,013,890,725,414,
405,126,138,306,767,800,334,980,303,323,836,161,917,950,133,976,481,244,846,
183,891,309,805,985,016,822,869,281,103,240,364,805,069,245,503,127,040,956,
624,757,604,259,711,015,330,541,390,966,114,202,556,408,640,080,879,806,870,
254,413,981,756,543,147,250,847,755,740,025,303,426,204,476,719,851,441,952,
384,192,779,085,538,839,948,030,843,597,798,676,323,976,883,736,966,788,769,
459,311,564,662,057,123,363,764,364,276,979,510,904,408,933,321,635,324,625,
777,970,561,910,835,374,737,762,880,480,533,199,708,387,173,045,062,073,865,
266,053,440,280,795,819,220,316,492,673,209,685,800,386,203,880,229,181,714,
006,358,909,474,986,042,795,807,619,923,964,540,600,758,457,069,318,632,862,
102,833,775,583,333,824,443,386,973,766,741,156,348,594,539,684,735,475,978,
019,044,099,622,835,446,421,907,608,138,078,418,792,968,307,027,006,485,218,
008,598,934,738,348,213,427,329,399,477,449,169,956,604,292,450,388,768,442,
269,413,460,080,205,584,878,267,319,392,352,955,914,226,942,661,418,857,645,
233,536,392,265,107,976,968,171,627,173,371,953,319,748,362,762,602,168,418,
755,355,232,604,727,613,954,808,586,637,553,384,798,066,754,799,169,977,821,
435,621,026,725,922,846,424,798,748,565,811,634,199,836,668,154,322,700,074,
158,808,888,710,533,094,243,257,355,170,588,022,036,751,729,388,419,915,170,
409,278,680,807,951,864,623,909,628,122,602,015,873,297,193,129,048,200,404,
083,155,170,121,153,591,336,143,510,767,915,213,641,578,268,335,711,446,180,
559,712,742,365,497,883,120,696,427,194,190,826,610,967,072,776,523,549,447,
031,594,765,432,971,785,405,531,939,045,752,262,299,022,325,250,245,620,667,
972,592,300,334,520,772,845,140,184,401,457,069,218,771,958,107,240,481,667,
313,993,720,314,419,519,952,193,299,851,934,286,564,087,540,738,355,533,828,
827,842,825,102,807,117,833,351,412,357,310,430,744,258,368,947,603,677,264,
856,014,899,456,676,523,254,955,811,504,628,958,763,169,377,624,834,150,800,
111,986,390,756,941,593,271,921,329,617,409,587,903,345,332,022,726,879,785,
716,832,721,597,719,104,408,114,570,046,180,297,733,644,876,025,854,495,583,
419,825,871,528,946,277,046,020,393,779,831,790,931,313,947,946,488,462,363,
445,090,519,056,649,685,028,209,767,530,458,547,476,322,486,641,968,500,156,
421,261,787,500,806,579,438,841,205,432,434,782,823,267,309,689,337,908,161,
835,855,345,853,255,361,230,861,470,243,324,564,165,815,288,290,189,195,544,
053,700,953,226,849,590,009,650,292,384,280,921,420,281,830,852,832,670,553,
542,372,739,474,490,062,125,460,538,872,084,294,401,608,352,715,507,930,902,
449,634,454,847,515,399,322,250,679,742,055,782,626,681,648,187,995,267,620,
128,723,200,323,810,392,370,331,163,031,784,983,816,192,526,573,426,183,578,
105,114,252,786,628,434,930,181,998,595,218,926,516,373,713,177,181,256,474,
620,629,690,090,720,423,878,029,310,210,537,013,516,837,047,139,840,953,593,
474,077,817,424,102,058,034,784,972,329,255,526,553,667,105,574,482,051,264,
827,599,606,787,109,248,213,805,792,235,382,670,266,068,705,849,140,508,931,
313,972,390,195,013,301,245,555,358,417,003,635,722,379,210,611,089,697,364,
890,846,160,547,849,813,274,542,385,244,165,542,685,705,875,484,580,472,430,
821,831,123,854,565,190,281,089,296,066,069,493,416,144,715,685,641,006,183,
945,836,254,421,385,101,726,465,619,758,359,811,138,805,730,270,100,285,501,
574,687,800,683,907,435,930,413,488,533,218,041,642,380,059,614,704,806,553,
816,006,961,648,228,889,654,464,917,622,699,486,391,736,825,076,830,751,455,
364,212,619,285,111,172,277,081,712,146,979,812,314,738,302,125,174,819,248,
523,606,308,438,429,182,801,918,035,546,654,416,581,539,945,267,370,459,169,
417,284,463,304,092,211,387,676,767,856,607,445,772,547,521,401,370,415,503,
446,938,542,593,871,341,039,823,835,768,694,166,760,189,196,883,421,668,565,
337,587,637,494,976,263,327,754,882,366,768,530,561,948,151,418,062,936,764,
612,614,692,189,858,335,255,044,600,451,360,143,911,088,686,332,167,154,812,
078,981,217,773,748,175,277,465,685,899,091,805,282,952,692,696,131,475,625,
726,430,938,778,454,173,347,502,254,186,897,668,672,932,863,008,460,716,814,
183,161,120,478,275,831,248,557,020,106,186,754,915,895,792,336,066,702,285,
995,769,752,697,250,933,427,816,462,196,857,416,748,423,112,872,961,645,059,
203,210,209,288,586,132,722,561,366,578,310,065,220,189,376,899,996,553,318,
168,373,801,942,763,671,732,538,224,935,761,680,055,545,926,401,304,945,914,
458,475,446,936,643,036,546,744,562,905,742,247,833,177,446,606,817,665,378,
698,235,278,589,133,985,475,071,588,088,058,970,126,263,060,778,604,100,900,
705,814,886,259,280,349,573,237,187,211,035,181,377,077,061,369,289,014,868,
960,118,534,729,371,929,168,903,238,273,444,985,121,027,803,922,258,953,299,
519,311,496,757,481,946,980,073,866,298,038,817,356,660,299,024,100,394,779,
171,454,857,252,590,255,013,337,319,612,712,328,076,163,441,607,485,560,869,
092,909,321,905,595,749,366,429,518,870,086,268,159,239,021,629,104,212,653,
675,172,686,998,278,904,953,358,885,288,877,781,629,698,197,777,562,175,453,
136,668,424,209,131,078,479,572,145,646,440,671,159,414,127,078,861,700,158,
039,732,167,424,874,955,504,028,255,221,954,583,886,745,286,949,464,476,038,
920,397,767,861,597,447,076,398,683,038,611,723,435,403,197,221,779,312,919,
642,546,875,281,193,759,761,434,590,439,844,748,784,978,751,922,931,638,645,
804,763,956,607,240,115,639,521,934,806,105,020,314,456,499,079,643,606,125,
395,439,385,842,208,342,364,717,019,001,888,019,644,183,690,406,698,566,374,
937,104,497,281,331,828,867,150,635,691,186,886,292,468,906,443,807,275,011,
188,867,463,040,115,383,519,605,415,979,184,270,231,228,549,098,021,633,799,
524,168,782,941,224,517,657,619,715,774,840,795,505,490,219,331,366,069,167,
856,356,572,166,799,696,769,510,689,497,149,010,752,727,615,406,074,977,441,
130,011,813,204,649,903,696,077,349,744,147,145,993,854,401,268,565,584,385,
566,358,793,438,124,407,366,190,162,518,737,469,643,246,143,547,226,864,670,
088,885,607,818,309,506,808,290,685,741,431,194,637,012,901,785,181,598,158,
060,839,148,364,662,373,426,704,561,196,809,600,281,020,479,832,126,189,902,
082,281,671,380,662,120,595,351,450,788,279,163,117,335,456,963,492,433,997,
405,533,372,103,196,448,317,151,821,536,870,936,015,565,333,642,630,559,762,
540,965,130,109,796,114,283,028,930,921,510,497,569,862,521,470,088,097,661,
470,817,716,749,434,369,566,595,543,730,194,205,011,241,461,702,678,062,678,
090,244,449,722,105,701,689,998,095,335,527,167,288,428,483,813,756,354,619,
533,161,938,180,339,898,913,946,421,425,517,078,749,683,505,515,253,484,719,
766,509,737,520,413,520,947,617,075,677,077,141,147,662,874,542,390,414,156,
396,664,153,909,977,481,327,209,093,834,207,174,413,101,717,091,856,154,085,
161,741,631,516,301,468,736,994,978,698,861,292,217,370,250,172,719,978,521,
939,530,079,280,149,428,456,993,284,428,090,144,872,213,864,992,652,440,333,
793,053,216,649,316,123,121,459,130,487,589,538,331,386,738,392,540,252,300,
628,980,540,394,426,281,936,874,848,665,472,761,594,559,771,947,848,685,967,
942,339,947,021,435,852,808,724,733,146,033,017,449,195,376,578,670,193,762,
160,101,623,332,034,595,955,686,942,709,353,525,933,370,461,194,955,157,225,
760,061,111,002,991,542,483,837,449,330,516,011,062,882,349,725,837,490,306,
668,950,286,403,692,036,857,581,958,334,687,866,502,052,950,738,351,061,623,
660,967,809,650,696,533,594,136,597,229,238,546,280,238,728,845,318,875,622,
726,430,895,146,897,297,079,973,153,098,076,949,144,241,071,838,057,737,396,
971,897,886,307,618,147,015,490,207,407,965,442,914,838,292,994,100,011,979,
634,388,122,433,893,777,852,378,239,637,059,994,590,146,694,472,400,740,299,
776,567,286,396,840,364,199,947,788,164,940,305,651,024,116,459,843,272,963,
664,523,890,375,972,539,437,692,403,171,653,256,531,393,787,259,315,829,663,
350,687,229,264,546,693,002,037,847,543,676,541,201,921,329,757,794,233,842,
897,522,911,461,859,805,746,945,682,484,221,326,937,869,606,349,898,049,588,
675,758,978,679,940,733,861,422,911,136,708,024,501,078,983,256,530,070,243,
080,857,272,919,741,609,586,579,993,442,227,997,424,819,290,057,524,324,040,
879,953,889,954,269,270,489,311,374,876,244,999,100,721,209,176,863,301,229,
720,326,870,362,864,558,540,449,508,505,537,700,670,182,094,984,495,470,703,
096,910,546,005,046,542,955,500,490,359,760,350,666,823,589,827,685,152,616,
642,312,642,986,661,692,358,252,437,255,793,132,729,413,541,970,556,524,177,
131,373,801,291,054,241,569,435,550,289,777,734,808,219,854,810,101,672,044,
774,274,501,623,207,902,358,507,489,436,943,815,804,145,426,517,882,094,897,
549,233,321,123,900,365,403,784,482,079,217,288,083,282,723,782,732,779,400,
718,245,967,241,347,916,580,674,998,401,118,709,749,702,294,607,645,723,520,
077,495,002,263,176,990,361,932,635,902,900,635,732,364,528,097,658,375,245,
266,216,910,142,191,220,273,412,015,562,871,921,002,893,988,587,918,079,866,
764,507,084,203,975,329,849,567,239,627,384,172,478,061,993,070,488,157,488,
344,977,048,576,347,326,829,822,180,600,237,947,680,453,425,860,836,133,655,
793,895,415,912,799,543,773,594,827,556,047,163,291,008,016,701,219,497,400,
400,332,895,885,702,985,811,138,577,861,815,533,916,558,275,867,797,230,264,
617,610,255,533,448,651,933,649,935,174,932,345,069,475,858,509,324,023,093,
499,468,224,905,595,274,323,831,829,242,149,158,687,375,330,872,941,993,771,
588,542,124,571,009,955,745,599,244,487,695,136,576,073,898,281,322,406,996,
188,122,879,129,459,888,323,350,481,643,825,297,094,293,161,449,272,713,178,
804,959,099,226,852,815,962,814,937,644,511,649,289,012,893,014,865,733,033,
942,305,906,903,913,319,180,019,272,362,782,559,238,687,151,433,249,363,541,
500,614,498,732,699,632,512,779,650,143,655,793,253,664,836,705,124,549,342,
041,719,640,222,970,608,815,580,512,756,892,495,664,118,064,070,308,135,560,
103,116,734,544,254,530,547,279,282,790,427,128,008,616,571,843,745,572,881,
397,647,326,674,624,444,023,234,151,746,386,802,893,578,045,059,701,217,623,
977,644,304,004,076,964,512,379,264,868,870,362,312,480,866,786,490,976,384,
643,241,123,855,419,077,979,657,427,122,618,076,533,995,000,102,105,640,158,
867,734,603,080,057,178,672,484,801,821,429,066,404,590,456,224,139,286,812,
805,769,886,221,836,486,642,271,083,565,454,860,828,707,402,520,619,531,758,
266,463,532,074,869,025,158,520,878,679,723,510,802,992,450,556,520,465,910,
998,164,785,955,227,953,635,313,677,908,698,188,473,925,407,709,634,140,625,
032,626,857,522,667,373,452,622,701,761,869,062,160,493,597,353,670,062,712,
046,651,627,402,704,261,975,810,872,009,420,652,480,513,739,476,060,412,001,
910,254,190,077,746,789,728,985,785,522,865,382,587,060,702,076,075,288,830,
297,417,970,632,453,358,298,568,191,884,519,836,675,307,534,042,221,476,699,
637,093,153,419,521,693,045,883,517,253,995,932,466,614,181,684,143,617,115,
055,732,068,202,399,154,924,585,451,770,982,913,612,629,854,392,317,689,295,
408,129,458,011,692,293,562,095,246,787,567,802,850,830,858,759,055,567,197,
962,759,601,462,748,686,070,137,541,794,944,639,198,733,508,400,393,729,546,
408,295,925,788,070,106,147,394,938,331,393,793,902,621,855,049,374,031,167,
793,559,498,996,637,406,952,228,481,793,480,051,187,581,898,057,609,446,138,
357,018,828,488,196,933,674,220,194,163,366,629,991,408,488,655,518,366,902,
591,081,309,159,288,529,342,731,280,316,140,803,081,227,440,605,927,102,373,
015,398,968,877,886,410,708,369,167,848,979,928,809,762,462,384,777,995,107,
129,001,800,168,106,812,521,927,099,516,889,604,788,890,778,144,534,801,189,
231,634,758,168,358,540,417,739,931,545,774,429,759,877,630,864,399,262,835,
098,843,384,030,627,894,202,694,030,876,325,781,403,413,752,316,720,180,335,
997,079,018,661,016,915,824,239,116,375,578,223,097,311,469,534,042,372,803,
071,613,430,068,965,251,251,280,677,484,530,239,898,640,730,669,270,512,538,
293,099,519,964,904,752,308,927,645,757,905,793,795,685,909,176,198,250,867,
495,081,071,663,088,858,855,737,800,433,050,980,309,509,062,513,078,931,290,
050,282,723,356,818,038,397,284,314,980,324,365,518,356,230,747,990,437,125,
945,323,711,580,134,762,878,375,004,854,694,153,245,043,835,304,503,733,005,
746,608,665,888,686,375,788,009,448,687,260,377,888,627,421,894,042,416,358,
429,833,482,152,571,431,127,007,812,133,035,559,582,854,467,422,138,258,156,
699,303,277,388,394,457,628,337,374,849,869,814,467,491,210,190,174,136,818,
552,735,805,829,503,057,381,433,626,247,540,869,631,130,691,220,999,177,974,
668,739,826,034,584,413,596,768,994,017,647,630,860,426,621,854,368,209,907,
607,899,923,319,652,356,595,394,819,844,646,529,036,754,135,018,259,077,421,
012,217,694,336,313,968,580,969,511,637,441,535,081,922,300,958,937,467,312,
033,824,410,772,594,063,813,161,466,667,582,197,767,807,365,476,390,848,326,
737,525,288,331,907,390,233,884,047,114,990,468,618,763,764,771,756,117,330,
317,429,959,179,582,580,632,366,668,893,233,560,823,831,353,591,761,360,996,
144,353,614,244,358,985,947,886,544,226,813,008,376,235,012,946,750,672,634,
349,717,509,757,884,192,254,183,906,411,962,099,463,317,456,499,600,337,994,
191,180,382,216,197,620,355,666,563,308,172,673,339,675,856,193,022,700,868,
349,225,550,930,938,418,193,940,019,297,544,568,371,603,841,120,778,273,571,
608,113,758,975,833,053,691,559,641,573,400,513,160,246,445,333,685,771,489,
072,164,776,209,398,454,739,035,403,729,679,204,792,705,868,833,300,631,589,
842,559,878,826,750,237,216,593,077,136,008,658,698,332,406,817,775,005,016,
914,500,272,172,492,167,987,083,447,960,822,596,651,410,560,733,871,949,337,
546,313,851,061,665,927,068,776,995,285,895,949,286,037,888,685,040,454,151,
556,525,220,221,878,792,602,898,712,306,413,328,649,120,832,020,636,083,349,
017,111,115,621,429,682,100,914,368,155,411,848,958,441,415,123,427,378,945,
506,391,426,021,469,665,276,230,066,742,343,583,276,450,834,413,719,021,130,
330,756,235,208,158,459,053,551,787,599,823,282,732,360,393,447,647,595,702,
482,428,444,454,423,084,435,208,067,675,101,237,352,157,773,332,889,414,451,
499,715,578,930,902,777,311,199,286,275,650,725,935,070,979,032,232,220,407,
942,670,550,107,463,391,784,130,791,472,712,569,046,249,702,508,468,017,000,
631,701,280,301,672,455,534,022,743,184,171,345,701,801,486,074,665,825,557,
329,393,106,694,183,681,927,955,077,167,767,200,638,794,748,606,862,336,493,
025,144,702,409,038,711,605,913,955,802,794,175,478,780,020,455,028,772,134,
028,916,409,249,689,507,138,577,542,745,348,395,950,451,261,340,450,568,639,
722,604,708,645,175,838,449,008,644,878,551,244,189,110,987,120,027,766,156,
333,957,792,821,176,830,908,675,092,598,274,470,329,224,520,198,044,307,299,
685,755,416,629,695,986,446,467,015,909,610,734,026,367,499,319,442,015,341,
572,666,983,498,466,431,065,172,471,034,314,321,597,867,747,121,981,593,429,
594,248,907,781,244,492,066,452,463,803,372,348,957,985,964,157,002,173,332,
094,832,880,632,512,669,038,438,663,288,689,295,096,467,666,015,209,889,662,
929,957,505,838,508,320,473,344,769,948,362,956,853,971,772,689,201,217,947,
214,384,736,450,300,674,507,288,621,133,878,696,640,541,917,069,004,947,607,
055,610,254,643,230,214,997,880,791,617,571,652,948,570,559,692,654,100,359,
944,293,194,361,268,532,202,875,538,211,450,548,804,902,920,041,374,345,774,
738,134,455,334,797,508,192,464,792,063,244,581,564,091,211,812,182,906,685,
542,145,615,587,184,070,825,238,527,272,956,422,889,353,230,655,918,723,976,
668,508,270,200,125,713,750,214,055,910,833,795,463,916,447,457,646,393,247,
465,471,656,571,367,870,399,931,357,750,696,327,705,335,098,441,878,937,473,
071,925,712,457,195,350,961,111,356,834,026,269,329,982,266,627,742,934,866,
196,789,723,123,133,338,907,532,935,536,515,500,496,318,560,503,127,585,717,
066,098,764,153,137,248,998,191,007,947,883,259,502,942,146,767,676,591,816,
826,239,261,094,675,745,974,594,556,255,717,185,828,756,301,694,754,769,418,
225,541,181,777,864,354,762,209,816,061,381,395,659,014,401,711,540,118,995,
870,842,299,026,378,661,291,250,634,035,694,803,696,914,399,285,281,589,800,
827,983,397,242,454,591,973,791,041,601,924,331,851,131,891,920,551,431,360,
033,141,029,187,019,524,827,167,875,036,224,981,245,338,718,051,051,132,936,
265,268,318,697,115,547,901,667,128,655,443,509,975,596,285,457,578,036,453,
155,515,649,017,015,620,892,283,108,309,183,068,080,635,182,519,454,164,598,
871,238,363,844,340,752,325,572,913,073,662,017,146,285,545,297,570,824,562,
268,483,396,169,852,097,793,508,624,574,719,194,274,679,856,401,352,946,501,
481,352,420,601,664,363,319,685,237,179,201,741,028,636,622,488,427,293,476,
291,723,554,676,411,947,232,866,600,246,320,902,203,500,282,858,127,071,525,
589,390,693,866,978,729,958,291,859,875,597,169,547,077,919,858,369,181,993,
599,995,255,578,340,583,669,344,436,901,344,638,715,696,841,576,731,835,591,
681,408,513,721,695,695,669,285,806,192,542,236,189,857,912,956,761,782,952,
941,202,890,301,132,428,966,114,009,854,053,364,467,172,439,049,912,365,089,
426,540,383,518,438,615,496,528,035,023,233,552,141,705,198,684,638,451,251,
102,305,070,259,328,768,185,703,893,726,051,058,668,023,942,648,493,802,157,
997,016,224,886,147,107,444,828,588,776,280,098,806,017,283,933,319,727,269,
049,537,608,823,948,161,564,105,232,448,140,994,385,175,889,340,629,878,300,
460,945,521,091,901,860,976,148,089,493,306,402,639,004,307,883,672,229,084,
989,397,759,493,012,359,950,552,529,627,034,166,386,439,458,090,178,651,619,
196,066,361,107,537,272,944,775,372,333,320,387,745,166,236,247,604,071,142,
868,978,647,115,513,401,055,442,634,350,848,634,410,266,517,358,880,602,122,
153,979,678,973,849,929,708,748,891,439,401,258,927,318,833,099,541,204,047,
021,722,332,299,005,392,356,687,288,644,600,854,185,616,275,564,841,254,387,
053,945,870,368,076,218,214,498,384,494,572,883,199,155,709,521,518,270,226,
136,533,659,935,525,799,828,587,476,360,382,384,116,846,865,832,938,360,498,
864,480,674,318,211,056,775,361,457,484,684,368,364,771,894,502,472,572,265,
418,777,503,825,372,890,667,397,033,715,720,044,913,718,164,536,267,741,068,
868,826,687,774,589,710,722,531,792,232,232,712,941,843,905,756,913,268,123,
567,198,512,105,309,155,680,151,445,478,187,337,472,249,609,642,007,018,355,
382,224,525,784,656,459,701,043,302,240,775,393,422,460,779,974,116,999,511,
893,560,196,628,256,253,564,709,759,052,551,074,523,456,810,871,970,974,812,
311,599,977,714,810,323,969,636,110,000,770,241,829,843,302,235,818,314,653,
124,065,873,733,704,101,488,581,889,087,317,947,846,097,941,816,868,305,467,
067,418,875,149,722,180,737,099,130,333,700,740,326,165,153,436,766,731,465,
104,226,520,123,725,158,525,912,617,306,848,119,274,778,635,088,064,677,668,
135,363,842,983,502,839,588,066,765,740,189,034,876,700,167,471,035,300,905,
216,258,196,355,007,775,240,855,148,526,827,553,215,325,192,635,581,248,216,
416,618,746,660,966,201,029,113,131,144,599,945,310,893,437,798,844,809,317,
049,133,572,502,558,026,585,250,981,059,275,366,388,690,473,425,866,437,817,
680,197,595,964,338,840,127,302,936,200,337,078,814,969,426,219,072,675,776,
520,420,161,240,327,318,465,367,447,797,716,561,830,321,891,730,784,617,486,
236,520,322,641,467,073,740,483,161,278,993,093,364,438,673,847,156,347,220,
330,019,854,228,887,306,667,434,087,260,430,716,886,862,341,688,205,391,236,
751,245,627,946,226,404,569,797,745,804,462,370,790,367,204,166,024,551,165,
417,257,221,025,277,748,566,806,865,576,771,948,364,280,343,225,944,677,878,
085,677,480,680,428,083,674,524,102,705,659,955,359,856,963,726,398,422,144,
714,842,624,562,465,318,674,326,232,113,001,273,282,419,616,231,248,829,803,
234,643,542,752,450,840,116,073,537,981,928,577,790,935,162,525,362,177,159,
817,199,569,382,056,578,696,843,306,352,324,147,484,302,212,252,519,540,321,
891,775,855,742,907,926,347,147,771,730,133,384,093,466,847,787,949,778,890,
803,076,108,727,146,519,764,692,644,576,494,067,576,889,587,086,828,090,794,
555,371,204,020,768,880,159,287,129,448,778,752,398,066,881,981,975,406,148,
874,122,222,880,876,014,945,018,841,343,911,308,105,514,877,858,080,512,186,
615,023,258,462,812,156,918,206,652,553,013,841,836,632,077,531,467,172,932,
070,306,966,451,984,396,486,685,492,735,194,604,337,395,310,098,270,447,428,
106,094,345,528,409,764,348,589,732,889,300,178,947,438,186,235,294,642,147,
744,644,614,417,478,119,817,642,649,264,475,409,585,648,969,616,641,863,792,
046,450,951,593,397,943,447,591,086,510,537,322,660,804,317,215,394,319,809,
609,853,763,926,850,903,126,009,824,380,376,606,718,977,729,230,249,121,081,
834,540,342,850,217,281,509,113,404,904,871,801,884,994,653,287,288,698,779,
459,741,509,989,917,246,219,712,699,588,699,294,415,239,510,142,932,762,996,
451,461,448,131,188,164,717,517,441,621,916,035,736,144,604,894,432,613,759,
856,735,880,129,521,503,375,924,738,329,740,670,410,577,917,160,768,766,650,
940,720,550,560,724,837,832,059,349,539,891,553,355,143,566,772,426,230,459,
547,928,766,615,595,301,821,476,305,237,506,441,950,272,494,361,967,075,286,
274,268,209,895,287,924,587,782,339,679,847,033,844,769,280,261,186,869,142,
998,740,102,354,904,595,308,443,959,700,551,379,067,072,818,898,997,210,255,
944,969,502,847,441,431,845,881,339,501,458,601,664,101,390,425,634,445,237,
228,051,528,001,348,488,397,383,722,733,521,368,131,622,465,339,321,360,838,
535,959,907,642,233,779,720,649,366,249,964,637,092,011,865,545,821,499,281,
371,463,339,157,599,352,006,383,169,146,356,368,959,208,383,595,962,097,690,
458,010,922,942,436,290,167,192,911,647,304,224,082,094,579,160,053,595,901,
698,831,891,822,960,929,622,617,148,578,070,348,419,157,619,392,635,227,680,
833,337,353,327,865,744,269,461,192,766,296,808,143,679,430,868,219,754,337,
081,499,640,883,523,570,912,672,171,263,327,020,453,655,410,209,519,600,505,
283,949,640,941,020,744,892,941,619,491,186,801,204,116,379,074,729,787,866,
383,366,857,378,286,607,790,171,763,673,473,974,249,523,143,232,744,247,954,
393,524,959,299,983,016,363,557,076,672,820,807,912,913,888,944,413,599,590,
526,035,895,646,331,693,346,389,688,487,161,405,368,731,590,359,175,743,074,
712,698,166,725,954,577,918,705,780,511,204,515,814,869,014,001,405,277,735,
545,097,409,108,914,240,244,170,280,901,612,623,507,969,020,149,861,356,138,
520,027,184,354,059,355,971,046,054,819,031,425,008,502,242,986,945,194,361,
922,511,944,803,790,487,643,347,828,483,835,434,333,280,845,356,826,809,925,
174,047,771,896,879,385,110,681,832,182,012,149,488,129,244,311,590,184,950,
454,483,691,393,179,997,065,876,718,226,016,389,181,854,658,318,565,777,828,
109,298,675,229,162,104,333,475,454,224,083,111,565,248,418,527,411,458,820,
579,558,169,387,541,437,074,640,689,385,511,858,443,473,999,369,838,473,287,
837,854,265,920,485,903,850,777,393,632,011,967,706,967,131,423,247,283,323,
093,116,709,523,353,707,439,819,512,152,768,438,060,874,729,954,297,738,209,
417,686,760,122,462,334,708,528,917,893,507,430,216,706,125,688,315,602,024,
709,300,896,993,532,754,220,789,810,469,851,451,784,890,287,451,200,763,143,
963,470,635,555,094,729,752,068,621,370,381,247,253,261,007,887,836,649,640,
697,799,358,645,037,606,678,415,117,088,810,345,087,986,526,314,514,465,667,
352,384,591,135,743,711,594,646,309,318,675,945,076,194,257,103,952,538,314,
189,333,301,264,155,236,644,470,369,560,759,405,910,179,929,046,826,148,003,
981,638,852,573,893,497,791,729,587,926,201,265,970,429,139,714,796,861,761,
363,224,309,707,026,599,614,793,488,037,993,626,319,518,372,425,438,126,785,
117,597,837,547,814,442,319,442,440,043,378,726,067,556,751,918,787,007,388,
617,589,321,062,536,097,395,834,329,182,490,504,579,334,390,372,833,523,411,
205,299,641,276,479,101,110,490,375,257,852,201,807,214,847,366,773,961,434,
175,950,919,439,755,194,667,886,654,997,260,632,648,784,448,179,798,074,127,
347,580,167,544,526,797,981,946,351,879,839,256,896,719,355,334,092,359,833,
751,734,016,351,184,693,025,277,053,500,457,309,532,105,114,776,865,942,764,
424,748,390,851,107,518,376,303,699,528,545,966,627,994,749,475,678,651,963,
456,490,358,423,921,656,990,188,636,820,833,739,249,627,662,468,935,132,988,
848,320,784,624,952,155,991,217,536,484,565,544,307,900,245,484,062,986,732,
181,531,900,741,260,402,257,523,831,230,931,773,841,293,193,730,615,930,871,
939,167,350,455,512,309,722,084,050,955,507,689,843,592,750,413,129,006,089,
114,496,512,597,480,968,819,296,915,042,691,622,459,846,101,912,103,460,318,
999,613,787,555,237,659,639,981,320,394,889,696,277,949,322,082,665,174,074,
150,886,755,997,318,817,020,554,547,659,445,574,770,085,221,241,321,043,371,
202,620,865,798,991,636,139,935,256,256,023,641,497,391,003,298,896,365,802,
530,114,671,519,631,155,642,661,892,986,505,915,617,914,377,241,084,613,244,
106,726,578,004,696,416,529,854,719,909,397,870,962,381,742,554,481,823,068,
336,455,280,579,666,189,539,111,992,300,057,593,699,920,428,623,873,488,690,
892,338,133,973,085,001,476,595,963,748,355,124,810,533,417,379,840,289,437,
953,429,482,972,316,207,147,635,600,686,388,388,879,847,715,189,344,303,532,
170,099,388,899,071,680,919,206,855,054,056,079,170,704,038,932,973,712,713,
839,033,411,957,209,929,435,266,205,952,076,515,016,192,805,513,514,348,417,
841,493,935,682,214,073,665,086,553,356,401,924,654,427,804,014,229,907,612,
244,665,906,541,850,827,519,761,627,136,453,282,876,657,849,299,200,456,021,
818,735,096,363,811,515,730,353,195,322,429,690,493,058,136,132,527,472,563,
021,542,892,815,362,542,381,925,482,751,075,074,210,016,692,294,280,442,922,
877,647,661,389,632,748,592,099,945,251,906,492,668,259,596,525,822,639,053,
494,828,501,997,230,987,850,546,686,201,985,509,989,347,541,856,407,436,259,
846,546,861,462,057,389,928,265,450,484,230,399,304,427,521,543,322,861,261,
600,680,926,188,825,718,590,833,553,524,387,953,140,160,444,049,508,937,806,
737,363,173,703,960,325,729,008,146,158,395,036,435,483,673,021,963,941,759,
726,340,884,465,440,871,630,002,675,443,823,680,175,311,759,826,787,523,814,
807,314,572,867,213,793,178,700,767,787,160,121,529,817,807,115,746,866,033,
989,664,666,921,911,094,435,984,978,751,581,767,198,090,899,031,730,878,541,
634,489,447,560,169,669,222,232,325,376,800,028,347,617,391,958,299,914,120,
151,340,950,760,585,262,602,559,073,863,772,101,537,585,276,625,938,001,458,
874,885,796,414,548,917,357,016,077,704,538,784,515,719,297,847,875,735,528,
720,505,561,600,983,688,565,015,430,676,757,361,601,753,018,546,028,042,964,
521,344,953,506,886,153,005,507,605,191,219,143,274,638,826,459,911,443,004,
139,855,539,882,662,037,852,420,834,408,650,467,756,873,333,833,323,553,429,
208,184,007,880,135,483,406,955,985,536,928,258,493,850,966,624,878,734,145,
937,009,283,179,963,463,414,045,503,643,635,188,138,406,369,340,720,040,383,
244,595,747,378,524,828,774,268,411,648,889,246,786,956,742,048,654,744,043,
045,251,813,089,157,352,791,620,472,820,418,206,929,509,817,669,033,453,542,
370,963,915,411,216,933,667,698,855,863,927,186,665,001,235,717,950,121,520,
473,191,892,280,586,354,066,023,032,460,904,478,229,507,670,888,111,019,356,
495,006,229,746,037,290,255,155,117,567,087,657,325,738,059,411,518,052,254,
719,908,146,758,860,103,866,952,571,349,308,536,608,412,152,364,930,259,061,
424,672,414,903,040,742,469,646,862,128,246,824,124,123,312,694,823,607,997,
724,158,185,995,011,369,624,778,206,409,248,861,451,818,510,654,695,711,949,
010,654,296,609,330,323,492,297,600,091,855,352,756,496,412,533,797,879,977,
188,813,184,072,856,633,291,561,858,387,116,686,228,217,022,249,516,144,180,
874,718,939,212,952,354,769,913,834,172,251,258,248,210,231,653,995,951,620,
900,735,413,937,360,027,787,249,945,117,995,989,558,071,556,871,445,750,117,
403,095,984,483,507,934,039,733,002,132,779,367,397,839,149,937,204,675,138,
189,710,850,889,772,902,123,748,168,127,427,628,811,248,215,202,605,159,249,
940,219,904,407,754,782,140,243,579,558,841,464,076,678,328,125,537,441,832,
305,342,708,128,896,902,206,935,264,036,865,457,155,055,839,856,165,688,711,
433,338,687,476,852,191,292,088,025,147,356,853,008,403,755,106,145,677,771,
583,239,618,211,852,290,098,830,148,957,155,600,569,410,241,921,997,594,811,
218,090,623,344,574,782,346,740,799,572,597,402,851,464,493,560,011,702,976,
726,681,056,910,467,654,633,952,515,615,522,371,409,566,752,277,497,858,033,
916,984,615,240,591,541,726,702,266,928,266,465,376,532,186,813,452,591,461,
531,430,489,715,996,570,389,021,803,409,523,195,974,828,749,318,772,089,408,
893,083,116,485,430,651,973,534,936,149,797,821,591,250,452,931,070,073,091,
004,348,533,569,186,954,553,706,657,565,061,848,440,161,748,151,067,511,806,
121,680,394,489,665,407,724,924,465,298,818,418,483,895,320,432,153,063,934,
750,089,811,084,394,912,402,708,458,161,015,545,407,725,538,507,329,467,426,
922,097,529,929,442,645,006,354,425,057,874,033,866,887,445,588,917,712,487,
894,443,412,393,192,707,355,425,524,847,627,462,447,238,003,310,422,578,739,
988,637,550,654,718,034,828,893,503,655,508,970,403,211,820,838,877,334,690,
012,963,072,174,847,536,094,203,380,794,159,045,793,506,346,810,170,394,912,
552,053,603,978,384,605,583,908,817,803,106,089,856,823,285,072,894,613,761,
057,168,038,359,616,334,354,022,762,512,409,683,096,754,408,809,476,385,856,
555,011,301,094,968,033,004,277,170,664,996,512,224,410,646,974,536,197,357,
137,784,061,336,354,665,304,825,068,413,539,261,501,891,188,063,325,423,666,
870,707,223,292,052,907,977,747,844,021,720,309,456,174,711,836,815,530,483,
878,652,694,904,998,308,785,673,988,266,141,693,619,888,773,489,306,946,817,
492,444,352,816,540,235,100,046,344,104,311,476,722,742,885,509,687,898,045,
938,061,892,623,134,062,379,045,736,638,760,004,400,751,868,138,140,964,889,
060,857,016,023,527,677,379,211,839,859,517,804,989,344,984,136,609,406,533,
295,518,178,024,408,569,680,339,292,095,204,597,594,024,676,312,904,458,455,
847,993,556,251,390,198,970,774,102,831,965,964,637,788,340,620,202,317,418,
417,468,934,283,512,175,114,122,816,388,755,256,174,465,871,546,203,963,072,
343,297,177,996,207,357,303,781,021,391,304,051,696,724,201,857,179,211,689,
250,186,533,453,158,954,484,295,516,861,954,267,026,535,789,921,979,769,720,
411,284,076,841,148,417,919,014,679,766,299,673,344,538,721,572,465,137,232,
826,907,419,098,203,819,411,397,894,983,805,050,612,450,243,418,246,452,689,
293,408,654,348,577,271,349,694,529,803,155,702,833,332,787,525,504,457,619,
163,918,240,911,439,277,995,320,150,806,830,936,730,733,406,078,849,498,535,
790,769,363,870,423,266,911,171,979,024,980,086,177,529,849,773,002,267,541,
250,956,295,426,714,854,796,872,244,765,428,907,666,460,769,686,588,167,062,
935,826,297,831,986,917,221,469,878,410,440,741,210,715,360,428,536,746,957,
533,998,565,505,783,256,118,536,449,307,212,711,402,843,831,003,588,314,997,
129,638,833,198,269,779,033,968,591,595,956,133,744,919,467,057,504,381,149,
710,705,769,101,685,700,263,160,280,132,215,329,593,624,121,580,458,173,636,
589,264,701,434,185,851,010,035,521,842,538,907,871,746,751,773,474,687,960,
774,787,986,692,360,028,347,216,594,908,082,046,212,955,109,116,008,456,838,
990,709,949,371,000,337,583,088,010,073,042,986,532,854,334,376,209,789,798,
703,290,831,256,782,883,260,380,714,870,010,143,576,452,267,622,732,267,348,
357,448,411,245,891,957,771,467,371,513,052,159,383,733,825,768,506,457,546,
267,734,076,104,427,132,236,100,337,884,322,107,290,407,808,682,984,043,595,
121,712,102,111,733,416,330,990,355,691,603,826,794,106,672,006,679,396,279,
013,726,891,367,191,794,583,703,259,705,470,733,914,810,250,538,289,961,458,
737,356,643,085,409,745,051,884,517,110,673,459,999,371,953,101,290,907,140,
430,609,975,912,713,670,450,675,156,042,412,188,566,554,738,419,840,178,934,
519,784,610,706,028,337,115,086,398,551,751,073,411,977,429,425,568,205,194,
862,793,677,507,391,693,714,158,062,170,146,531,548,197,274,338,315,203,809,
730,269,154,390,964,043,588,886,359,535,182,486,687,562,474,847,036,659,787,
097,039,383,390,262,034,383,682,012,546,779,127,323,731,726,476,493,862,314,
763,633,960,994,551,862,052,022,947,386,253,957,357,013,360,744,662,788,878,
505,903,699,554,584,934,873,362,560,424,801,974,755,834,464,390,851,929,463,
820,833,494,116,727,984,072,273,923,689,784,576,286,841,031,722,286,625,315,
616,514,072,353,517,007,702,842,643,746,074,892,455,298,500,070,398,880,548,
794,316,803,656,437,723,973,559,729,828,113,797,792,458,223,451,228,962,782,
891,884,995,859,119,742,432,615,041,951,105,483,102,323,133,713,290,311,069,
841,172,486,556,266,543,595,080,766,267,478,180,487,056,182,128,893,909,673,
426,685,369,762,357,965,684,898,238,445,395,490,211,459,790,665,175,644,211,
257,475,844,206,387,322,218,482,962,528,759,851,833,465,783,898,902,095,635,
757,548,049,422,669,615,542,329,754,319,847,153,413,279,276,280,373,344,171,
498,909,397,941,571,164,629,536,785,747,627,757,574,710,603,945,356,022,696,
956,665,304,354,559,670,517,191,326,915,069,740,300,328,953,407,848,540,807,
547,610,240,504,058,926,561,083,621,389,960,086,269,921,802,409,101,803,101,
737,841,437,022,511,124,798,674,016,570,097,086,845,619,673,747,621,786,370,
678,718,248,428,766,565,405,084,701,623,408,585,321,672,174,598,571,429,750,
137,666,107,133,981,005,612,602,325,984,874,461,021,552,211,056,782,623,039,
612,049,264,689,762,850,789,971,806,288,188,122,418,999,698,255,729,787,875,
597,919,363,803,236,313,207,056,691,941,268,718,733,177,312,690,123,858,060,
497,825,119,186,526,578,450,160,092,196,589,787,924,850,454,594,592,961,841,
511,870,045,635,135,265,567,258,082,647,551,393,460,506,646,113,517,442,906,
825,328,762,492,598,564,415,328,182,704,775,158,704,126,832,494,424,396,183,
100,062,391,743,256,945,896,915,908,574,736,303,523,291,675,620,734,686,681,
770,843,537,483,528,811,617,480,992,010,093,877,607,290,320,030,372,483,099,
586,966,315,997,124,956,502,442,269,644,971,279,680,162,135,761,995,998,997,
677,782,551,204,754,672,261,942,698,391,199,200,418,218,018,507,344,756,797,
102,385,178,965,428,375,006,478,648,233,509,866,052,427,434,098,690,592,515,
033,792,266,304,417,782,380,082,659,025,193,715,350,902,334,799,833,828,286,
962,746,001,162,097,962,157,707,906,018,697,077,705,132,064,873,595,138,612,
745,377,450,459,300,953,931,162,789,150,025,225,519,477,960,793,206,704,409,
352,413,782,641,011,431,916,568,826,375,199,375,293,721,320,066,687,741,018,
395,941,764,281,796,299,136,650,891,771,024,577,683,610,008,969,011,006,894,
562,927,437,064,820,596,051,435,208,705,749,381,114,418,351,597,635,962,600,
058,939,793,675,330,082,327,733,748,455,524,124,263,253,134,263,199,319,922,
962,152,647,815,956,220,850,759,629,657,198,612,290,583,794,517,854,857,107,
583,392,877,888,160,209,492,145,857,819,521,469,213,345,394,188,220,480,057,
111,357,573,235,518,130,600,023,686,268,214,624,257,549,951,919,943,413,659,
412,793,049,784,559,293,645,673,614,191,993,412,594,031,551,220,624,731,079,
977,010,206,084,448,247,741,675,336,137,297,037,910,853,255,992,447,394,687,
514,488,471,910,518,060,808,032,471,080,303,418,392,305,617,030,484,035,740,
952,968,909,331,415,807,582,583,785,244,527,235,374,628,922,488,456,547,493,
465,407,597,653,094,158,703,429,124,009,757,644,413,071,433,708,346,163,215,
475,908,915,515,397,533,901,618,212,894,149,331,768,781,117,892,667,804,649,
491,620,461,559,379,088,184,300,522,028,882,765,480,978,372,798,902,758,703,
077,095,749,772,285,125,443,914,233,417,918,372,141,622,475,387,882,323,910,
142,375,698,362,142,230,290,426,462,899,220,938,127,575,141,941,646,362,567,
596,127,945,750,667,042,976,437,690,020,782,870,138,050,693,261,884,406,664,
943,708,925,460,098,634,862,395,681,412,594,370,245,736,297,006,236,195,418,
080,915,035,045,529,852,325,654,516,117,849,260,174,874,060,346,241,674,666,
656,087,745,423,281,127,801,626,396,572,115,724,063,401,346,836,714,151,058,
255,208,216,726,289,002,996,463,152,294,610,994,739,592,370,105,718,323,854,
509,817,377,129,452,367,644,606,026,574,176,425,678,099,653,853,390,574,129,
482,050,490,844,955,742,555,027,802,377,120,880,344,866,458,107,019,591,071,
292,585,355,722,346,886,645,957,842,354,419,815,947,267,154,064,003,865,655,
207,854,820,884,636,421,929,466,141,949,190,492,396,561,498,308,065,498,465,
721,159,901,267,036,790,034,480,657,573,871,277,606,050,977,209,064,802,872,
372,316,947,314,107,277,533,636,702,904,651,002,027,941,554,121,017,098,870,
530,014,696,296,919,064,016,433,907,450,330,056,547,678,033,752,470,119,810,
946,381,234,946,821,030,623,391,081,027,867,792,173,212,649,426,150,236,580,
490,753,591,018,652,544,562,479,001,295,037,761,268,450,527,721,302,856,919,
716,643,550,603,114,093,353,017,658,150,179,362,623,226,606,488,428,575,311,
946,423,217,019,146,923,110,714,826,504,574,148,407,160,554,623,941,654,832,
526,392,377,137,417,880,354,551,576,550,776,880,120,640,223,816,148,031,847,
603,943,096,986,819,815,592,229,383,080,933,222,774,249,666,672,342,822,360,
135,287,662,649,460,158,335,474,785,731,250,675,070,839,078,203,173,026,395,
719,197,542,405,175,970,376,474,692,216,938,519,209,925,017,426,272,249,864,
423,617,436,655,346,982,800,899,202,366,539,119,665,142,233,031,527,232,342,
145,743,830,495,816,303,437,130,194,848,782,428,243,891,583,293,385,128,489,
225,849,718,061,953,170,265,498,714,810,255,579,215,925,329,847,599,456,166,
075,788,069,249,914,653,995,499,197,069,322,257,538,823,870,274,663,305,153,
476,272,969,682,634,289,936,062,719,356,207,517,033,790,857,221,387,477,879,
114,172,981,308,090,879,018,074,910,422,343,427,496,420,344,720,716,585,791,
109,252,949,738,033,848,030,053,382,423,966,678,602,582,539,946,370,261,027,
490,908,845,506,820,083,868,875,212,389,114,747,038,341,775,449,063,431,421,
644,652,286,137,542,936,181,576,353,227,069,622,032,249,298,463,666,736,152,
991,900,707,812,012,120,006,617,104,142,340,736,764,421,542,284,114,406,209,
520,069,366,645,196,953,031,687,235,035,158,979,143,892,133,764,589,197,694,
956,159,346,606,548,243,427,476,541,965,283,146,854,570,822,692,792,792,247,
402,190,547,158,776,447,100,200,355,639,650,070,253,973,098,528,500,978,309,
903,704,574,381,253,376,853,313,644,281,379,364,397,829,189,884,101,749,138,
857,751,401,051,302,635,239,871,992,692,514,029,812,962,579,514,648,774,248,
950,282,621,824,531,856,429,540,248,424,536,867,048,660,109,372,618,421,451,
670,629,423,003,161,476,526,238,317,601,037,875,544,249,589,803,425,640,886,
470,466,347,654,980,534,102,235,016,092,258,800,050,886,513,255,418,820,175,
168,333,267,591,577,609,733,731,240,406,156,672,863,807,181,392,216,682,085,
677,162,715,304,855,478,946,620,315,339,639,372,198,659,672,692,896,832,366,
023,635,015,721,936,508,500,366,705,712,889,417,258,461,036,465,662,485,024,
513,020,936,789,412,543,903,219,649,165,612,244,391,123,824,198,441,011,680,
263,312,938,505,299,057,445,651,624,121,989,670,346,501,245,779,957,995,478,
802,457,494,278,071,246,065,622,880,862,741,234,410,310,080,643,124,635,679,
137,127,826,793,956,056,039,586,577,917,423,635,944,563,031,528,936,834,238,
118,660,057,511,209,657,125,001,064,454,122,990,231,371,410,356,703,843,268,
328,894,374,704,042,945,034,649,900,314,230,354,376,938,382,822,784,079,056,
946,260,011,598,102,301,152,645,593,348,739,556,458,084,860,306,769,507,653,
187,771,755,814,031,060,650,539,986,660,964,818,834,571,469,755,967,108,836,
281,964,225,112,597,796,523,300,768,257,908,877,332,706,756,909,084,493,350,
327,886,977,461,093,812,165,020,267,329,178,813,132,433,807,542,678,345,158,
124,510,615,960,977,378,036,356,330,094,928,171,052,211,107,110,546,718,201,
314,484,133,601,734,183,962,264,606,759,797,511,927,515,746,149,466,542,282,
612,020,094,302,844,016,373,817,981,016,408,756,133,602,743,409,910,222,542,
194,103,869,505,317,098,923,214,228,919,061,230,677,438,707,099,568,673,791,
842,133,087,369,318,901,038,425,615,577,555,204,319,404,324,976,761,596,671,
867,643,469,133,794,838,069,495,833,112,271,617,195,062,573,773,131,544,834,
534,141,914,853,221,728,051,273,997,784,667,183,213,682,745,351,381,263,800,
884,451,639,277,927,441,211,448,358,384,928,513,232,096,380,700,538,173,914,
731,633,190,970,740,245,814,749,500,408,806,685,357,773,804,867,089,347,276,
925,436,090,426,514,186,076,593,592,020,487,158,579,569,132,410,497,558,918,
566,905,981,083,812,254,873,321,173,059,046,133,498,785,118,322,355,429,382,
546,000,617,222,794,871,619,350,139,693,030,068,663,830,639,952,816,811,890,
805,041,602,116,361,163,076,664,959,469,084,400,227,190,807,566,701,051,709,
587,077,903,517,687,380,439,367,253,598,505,362,205,706,314,002,103,673,573,
942,803,652,967,222,166,002,440,588,373,543,706,018,842,072,842,383,456,090,
112,468,821,923,220,643,717,825,704,846,617,388,323,315,424,692,760,458,166,
159,209,581,487,249,220,933,955,194,712,070,838,771,634,056,598,981,831,479,
866,109,773,029,733,760,355,689,611,360,263,635,995,817,282,631,215,743,893,
721,779,420,239,903,405,245,795,361,944,659,151,798,376,304,713,412,590,110,
130,007,596,557,540,130,603,911,090,109,021,225,010,964,567,775,088,592,378,
089,961,290,070,954,153,230,772,838,842,195,006,550,949,232,567,715,332,089,
515,004,575,948,508,723,201,259,363,547,159,441,854,058,556,014,946,226,217,
341,425,243,934,243,943,835,306,501,473,618,219,831,980,461,376,130,583,050,
852,165,093,709,082,382,641,540,034,931,964,254,251,737,901,377,690,523,889,
341,983,039,584,779,859,851,084,002,738,885,414,643,082,159,030,730,135,533,
781,065,021,662,195,742,140,113,475,928,436,360,373,488,712,071,096,579,355,
495,690,817,520,163,374,853,173,886,492,868,815,628,591,393,556,759,312,305,
139,636,769,348,610,476,970,808,287,057,517,446,461,060,792,332,060,881,703,
754,585,987,471,956,079,030,449,639,215,368,039,884,424,067,457,154,914,206,
779,515,399,000,404,444,412,893,341,724,548,800,550,939,240,926,030,297,605,
015,248,403,487,779,862,841,275,091,291,570,922,999,614,390,488,123,402,134,
578,922,739,082,664,057,213,882,392,336,769,762,578,028,214,531,233,748,559,
651,711,817,276,208,192,903,276,195,865,020,637,321,566,172,553,386,910,764,
257,376,150,906,823,205,247,239,263,537,303,575,127,331,709,376,458,101,564,
534,060,049,078,455,691,108,066,248,041,635,020,087,580,152,484,482,762,205,
599,949,714,628,023,437,370,709,024,835,466,883,486,607,045,695,140,869,529,
365,395,855,499,445,942,257,322,766,870,455,853,180,788,523,299,480,445,415,
294,072,423,349,670,257,180,174,288,115,146,806,267,448,491,075,973,761,392,
141,484,127,563,537,852,555,611,220,023,319,354,634,481,834,947,072,413,162,
023,528,455,825,013,242,633,150,939,345,708,977,356,435,109,060,614,282,044,
691,572,333,097,385,267,377,978,231,176,304,145,270,110,581,922,896,217,679,
918,291,125,349,397,254,009,709,153,579,272,010,090,119,688,468,107,819,400,
163,174,634,848,587,512,034,437,208,966,823,792,081,069,697,268,608,595,807,
974,805,608,968,899,519,553,092,557,789,565,162,464,841,670,528,598,242,253,
896,379,841,686,779,984,844,438,939,335,337,779,447,166,063,211,858,834,849,
749,742,612,324,550,098,243,503,265,149,396,290,192,931,877,702,326,767,922,
372,562,743,574,370,017,824,984,166,165,211,461,655,612,882,253,707,018,260,
435,314,029,908,846,148,364,890,498,543,793,603,898,546,568,730,757,022,772,
639,477,792,033,914,793,471,671,634,271,404,412,825,980,694,169,503,825,172,
643,866,589,486,375,695,309,235,613,379,463,715,665,852,042,171,839,945,068,
206,227,703,333,075,039,528,491,432,194,188,090,035,209,413,119,366,237,455,
154,511,306,607,806,549,042,048,164,263,391,379,422,256,590,911,373,067,977,
872,171,102,582,469,410,095,261,315,559,121,779,099,453,273,065,577,897,490,
768,995,547,707,913,589,043,927,366,284,963,581,516,773,170,685,841,280,369,
403,503,915,465,056,776,602,719,679,518,753,877,403,334,753,801,597,731,726,
857,431,685,664,894,666,485,680,407,700,577,892,684,793,228,841,691,201,134,
037,334,060,102,956,616,973,754,753,623,367,353,281,482,691,429,148,754,841,
710,763,603,401,949,714,929,164,646,095,933,400,374,672,514,074,561,581,794,
797,925,656,457,300,240,382,774,494,136,449,518,672,116,586,416,720,390,275,
977,480,921,585,864,608,186,147,429,392,201,271,616,661,086,514,528,554,247,
798,079,038,612,021,059,594,928,722,491,143,845,441,827,464,766,368,751,186,
732,968,091,277,622,938,068,347,620,555,558,352,092,706,299,211,264,272,407,
819,132,000,703,832,828,755,122,875,042,092,205,654,347,166,463,033,645,730,
437,010,148,507,510,159,219,538,420,868,325,043,417,411,426,701,885,699,929,
546,745,523,765,595,951,918,368,679,375,203,174,375,675,544,825,818,023,579,
250,963,324,631,098,175,323,751,432,883,658,579,771,817,413,668,583,225,678,
902,543,712,788,628,392,019,395,751,480,268,920,775,179,405,469,637,053,219,
014,099,942,469,029,323,202,402,253,082,919,728,271,614,179,564,325,932,672,
473,101,359,358,873,827,017,310,864,658,483,269,708,424,169,172,140,379,968,
508,345,935,682,293,461,192,408,170,862,776,434,292,580,858,201,055,695,923,
261,821,885,984,277,402,102,980,907,550,956,674,008,919,761,079,332,533,845,
248,121,627,377,236,738,381,185,214,237,371,193,534,554,784,496,619,556,079,
526,678,199,696,475,336,234,968,213,493,973,832,671,563,993,168,534,034,672,
642,800,082,754,109,354,282,358,503,598,959,279,038,682,351,073,901,413,175,
060,518,224,363,413,611,174,246,401,866,194,038,585,254,170,046,641,868,736,
648,925,740,709,781,241,057,581,435,897,137,427,882,639,853,991,698,457,788,
265,160,569,760,349,539,098,431,992,355,294,317,399,456,906,054,163,433,887,
995,944,300,174,681,377,847,994,160,236,347,832,196,515,765,872,024,900,368,
571,757,572,730,350,308,500,639,898,736,837,701,797,351,857,991,041,626,337,
018,174,232,992,376,088,357,149,859,212,261,814,145,658,257,782,668,938,501,
555,444,160,148,862,226,455,952,453,923,113,426,657,619,449,217,361,969,466,
019,529,427,507,634,458,631,345,225,484,558,900,910,439,920,406,847,251,211,
497,920,544,627,986,745,684,695,914,126,033,012,148,886,085,283,327,074,802,
159,553,536,523,092,231,763,517,406,634,780,462,727,211,227,582,028,100,465,
327,258,174,156,737,087,298,882,047,798,248,117,889,170,237,488,286,133,373,
800,225,740,657,694,490,534,590,117,496,026,401,307,198,331,611,084,930,501,
827,101,777,919,983,238,513,448,380,670,490,249,753,279,425,642,370,118,828,
687,732,368,919,027,855,914,554,291,908,395,144,925,504,815,290,809,578,709,
419,194,077,397,490,174,527,588,316,560,937,517,538,174,787,485,427,479,609,
537,283,427,174,412,446,630,821,837,324,473,504,010,756,294,436,314,779,297,
652,865,376,954,619,726,266,422,905,104,032,568,107,782,702,782,833,836,290,
706,341,523,247,746,426,665,204,322,455,272,490,074,513,369,592,464,401,808,
058,341,131,084,952,367,696,478,279,069,592,083,096,016,218,151,168,932,345,
792,800,410,633,181,128,261,962,264,201,954,794,321,659,765,886,046,290,025,
908,420,578,796,556,424,300,624,529,521,482,740,491,280,564,462,655,357,409,
037,118,752,083,343,186,938,424,319,540,516,886,809,194,597,961,161,571,377,
925,517,933,072,272,162,416,658,691,886,319,971,215,532,896,688,955,404,581,
836,298,569,785,563,352,222,360,593,277,306,884,692,830,267,149,310,400,363,
313,079,494,611,864,823,698,623,504,123,165,827,213,513,255,911,581,935,965,
040,954,458,913,154,690,729,958,673,800,548,177,581,201,135,046,614,261,564,
381,804,656,460,249,372,873,384,014,984,433,892,489,607,911,811,334,674,633,
469,465,547,669,750,351,031,855,765,811,657,540,778,936,171,842,517,743,705,
847,167,315,065,708,844,532,862,303,649,424,735,832,912,024,521,636,487,219,
193,997,217,554,950,193,015,237,555,506,941,639,381,139,538,141,079,792,274,
110,447,842,745,955,679,372,111,160,656,959,471,694,251,181,189,763,934,743,
607,246,398,708,412,293,267,167,816,812,713,690,978,281,631,097,774,168,576,
321,589,955,249,014,099,305,976,833,154,132,513,271,890,713,765,649,384,141,
827,495,882,013,515,864,092,257,303,937,618,461,712,209,742,248,529,434,186,
293,005,537,147,992,705,530,876,128,628,427,907,626,627,095,602,907,203,744,
161,641,665,932,391,211,143,700,487,752,023,611,422,875,528,324,182,884,978,
206,206,537,748,557,977,940,707,213,449,089,920,965,312,722,503,189,891,306,
264,569,557,206,991,017,349,793,387,278,893,150,968,116,035,328,533,457,545,
892,400,145,424,731,195,233,026,299,975,775,438,958,417,430,155,243,367,079,
468,021,232,267,016,114,777,933,531,831,336,490,762,203,197,910,662,580,361,
351,202,667,041,583,630,318,401,968,571,585,093,616,854,486,646,018,165,043,
829,750,907,803,263,207,532,913,713,589,842,904,868,924,534,132,172,300,910,
560,391,029,964,907,204,506,466,845,415,450,365,028,446,520,054,039,149,537,
524,641,358,079,051,204,994,279,629,582,637,302,511,515,166,589,144,498,055,
902,614,022,492,145,790,638,598,431,959,802,672,174,350,053,110,063,163,894,
846,629,519,393,844,133,365,634,124,805,614,814,634,861,883,008,744,293,635,
004,445,461,395,884,673,964,059,896,658,241,426,347,041,879,878,620,406,560,
822,403,764,461,874,575,296,086,468,000,935,522,123,064,620,214,961,504,296,
276,108,486,628,521,681,371,422,933,596,960,028,225,412,421,446,278,006,753,
331,047,410,228,951,493,794,410,703,918,949,242,195,899,474,466,871,683,841,
045,711,402,473,599,685,231,185,009,701,309,147,380,667,726,971,154,060,769,
872,746,997,612,589,108,150,972,218,112,482,284,758,541,650,325,273,443,497,
378,411,288,171,698,475,448,986,689,937,659,941,894,907,722,369,001,850,296,
721,595,826,509,021,001,398,922,874,858,395,589,992,373,937,555,143,338,584,
014,017,588,390,726,068,786,633,086,305,216,193,301,770,575,938,378,826,746,
558,356,859,142,022,430,810,705,954,114,865,604,144,422,204,176,741,170,024,
422,948,594,577,659,714,415,639,034,269,067,893,324,073,407,920,854,333,864,
676,056,597,334,173,967,078,752,207,067,812,455,333,788,651,597,308,576,265,
780,948,967,750,205,498,455,530,583,570,669,083,499,486,160,452,785,951,939,
571,311,355,818,698,611,246,871,935,638,858,486,141,950,255,310,717,412,239,
084,706,539,592,599,246,959,569,445,619,909,806,276,011,594,453,650,780,123,
120,360,407,033,264,961,407,499,717,586,194,172,488,026,714,390,330,849,756,
475,774,263,868,404,658,282,195,066,223,064,668,813,944,139,400,358,106,295,
081,395,373,238,623,104,616,290,648,155,568,965,706,496,185,573,162,748,330,
897,318,523,784,243,604,123,058,867,609,089,319,364,981,853,350,733,413,825,
374,397,829,919,693,298,930,858,525,466,682,068,168,745,992,320,230,049,057,
389,474,018,780,903,323,078,340,106,705,903,228,735,895,928,097,893,470,158,
704,244,749,462,227,371,236,646,158,077,266,543,591,134,149,280,565,857,908,
802,175,288,351,437,387,889,417,708,935,153,793,515,256,546,912,204,862,445,
847,447,984,465,153,659,286,506,509,149,500,024,561,356,042,539,560,479,888,
743,398,398,558,645,921,882,538,122,751,141,342,698,914,442,045,794,930,209,
386,374,222,275,999,489,380,855,129,607,911,100,069,681,907,469,259,085,939,
573,620,356,835,367,156,817,838,089,936,535,934,086,033,589,394,872,672,954,
215,439,510,422,192,541,009,687,583,217,710,835,235,567,580,456,598,236,725,
567,296,996,110,174,298,015,116,319,324,735,154,600,434,531,612,565,283,916,
963,503,973,519,474,687,641,532,898,557,225,539,745,598,890,912,055,616,263,
439,875,758,909,330,398,086,436,492,406,346,192,752,013,868,402,298,247,920,
069,180,885,284,395,633,257,098,135,910,616,678,909,444,799,912,787,891,631,
288,002,470,132,233,019,719,233,682,966,780,813,803,142,824,569,240,384,928,
365,608,073,071,135,391,293,473,785,713,059,712,076,951,767,968,447,224,871,
059,688,927,495,248,862,637,307,321,037,830,150,342,275,817,026,280,927,323,
880,694,819,206,960,932,426,892,831,677,807,407,902,860,295,595,869,276,975,
798,242,920,728,438,972,386,858,620,458,168,344,440,441,812,535,436,890,086,
322,043,943,910,130,896,016,450,315,799,032,792,051,880,671,498,646,991,028,
190,948,038,342,749,015,672,253,273,560,204,720,098,710,426,594,770,228,422,
002,077,507,839,635,977,687,334,571,134,216,814,546,423,356,500,226,629,970,
447,353,675,852,734,422,814,985,114,406,674,973,066,278,808,758,095,454,227,
052,674,695,897,661,377,985,134,022,565,057,508,972,163,282,523,019,797,779,
311,865,651,118,309,701,911,100,278,540,921,828,987,901,377,813,908,591,472,
797,467,519,127,294,127,581,859,515,909,580,934,466,987,353,305,608,942,580,
882,630,442,017,539,389,692,742,404,920,712,682,480,086,064,268,470,850,566,
404,006,865,220,459,794,448,835,905,800,672,588,518,267,428,469,206,157,309,
795,500,272,330,594,177,295,414,759,152,956,969,707,665,366,747,278,768,786,
978,341,408,398,971,271,106,421,622,633,959,503,403,531,987,881,398,296,372,
167,415,831,980,286,260,230,175,876,689,827,967,907,456,207,069,448,535,211,
836,204,759,580,995,470,428,185,428,520,463,574,386,317,792,714,565,778,779,
152,728,962,001,077,922,230,931,331,311,638,563,984,490,814,891,246,312,350,
667,969,883,647,788,837,378,941,927,974,772,107,954,257,931,839,500,038,269,
478,241,336,248,376,562,389,068,561,422,768,303,748,096,088,335,718,613,251,
890,798,962,516,632,173,725,801,750,595,450,179,734,359,828,617,253,481,099,
774,774,692,269,885,551,840,338,303,433,953,474,005,950,945,397,278,205,140,
618,290,055,255,038,431,709,442,036,406,544,461,658,097,964,740,766,783,131,
015,000,493,881,805,289,851,397,083,784,215,019,766,415,244,020,288,249,071,
940,792,402,453,732,075,854,706,534,728,284,472,133,357,902,898,093,168,004,
026,352,955,296,869,897,531,785,571,484,910,068,133,097,904,346,856,219,529,
942,987,427,307,799,985,851,543,646,729,328,463,511,415,534,527,057,714,908,
631,990,881,060,247,787,619,987,466,954,437,121,039,218,366,643,620,932,202,
976,257,543,943,443,648,444,720,310,953,466,431,375,178,098,907,167,523,445,
093,438,573,842,227,722,526,950,240,499,703,679,976,855,764,192,664,225,325,
494,859,768,097,120,779,656,592,304,724,340,479,507,061,446,649,561,739,672,
190,640,451,701,874,262,798,094,246,042,974,010,341,128,844,749,201,459,448,
133,778,089,163,843,537,384,350,102,741,064,609,839,476,535,165,071,149,413,
640,421,163,988,490,412,269,748,872,411,384,241,229,911,886,387,351,711,931,
206,350,634,054,812,330,330,543,146,190,004,100,218,883,112,441,447,417,524,
118,065,388,625,017,831,573,382,694,915,478,478,372,360,770,537,110,978,222,
261,990,317,328,398,902,793,933,369,159,185,739,801,341,591,808,074,348,524,
340,211,706,928,578,601,344,711,032,107,391,773,246,653,934,436,511,462,430,
881,088,190,727,290,053,582,657,250,907,501,866,689,604,089,769,733,475,384,
048,517,723,820,053,764,642,764,329,369,929,203,660,050,869,728,395,552,940,
368,249,240,991,587,539,162,497,480,507,089,306,509,967,005,199,074,109,742,
623,388,393,053,306,288,799,447,840,310,151,308,864,882,868,286,244,043,982,
977,557,685,739,550,994,965,411,876,103,229,979,012,264,338,161,578,701,284,
715,091,532,325,739,174,556,052,769,840,618,107,433,268,669,883,466,626,301,
645,895,487,796,336,340,754,429,798,919,567,360,936,389,831,069,745,632,937,
397,323,404,583,339,743,489,883,271,183,652,924,255,711,444,362,196,751,177,
387,838,802,053,329,047,779,547,920,147,039,453,477,118,659,658,669,850,355,
199,941,813,694,350,390,854,362,393,836,234,711,711,339,433,561,279,052,100,
287,557,261,564,041,761,847,184,418,124,299,656,084,106,742,890,548,404,927,
624,379,586,490,526,372,291,325,215,250,001,383,466,957,708,207,679,247,227,
543,697,498,996,933,067,434,964,646,447,981,029,094,747,678,404,172,141,337,
111,390,822,018,885,114,777,581,630,685,072,586,105,426,924,195,225,206,859,
982,676,262,395,624,088,122,375,940,333,165,813,530,501,424,658,577,375,140,
736,335,175,723,637,276,709,783,712,965,088,354,164,312,880,038,162,998,991,
662,547,928,259,323,620,701,877,615,720,581,642,311,941,546,654,312,489,405,
028,311,583,607,136,521,071,302,956,371,104,462,198,645,191,278,156,307,525,
366,369,626,163,371,665,665,701,929,705,128,914,879,791,552,634,004,065,705,
755,734,892,212,310,142,125,407,724,095,370,132,999,285,161,489,876,694,912,
455,164,069,778,247,389,485,045,123,931,566,440,541,902,726,276,035,759,898,
674,131,164,792,498,357,410,847,520,270,762,357,916,743,525,464,525,714,064,
089,058,701,554,900,494,356,576,307,835,453,400,547,704,159,452,287,400,624,
121,983,511,854,266,682,138,512,056,892,073,310,920,713,712,625,146,935,802,
300,246,816,362,242,723,719,300,168,978,048,393,271,772,794,016,028,927,186,
163,145,355,211,856,261,508,729,899,863,993,711,167,153,525,594,192,795,328,
506,160,477,282,962,153,485,045,375,239,026,562,713,090,050,379,831,123,704,
768,120,909,019,811,831,631,892,304,343,775,524,747,937,890,751,345,247,330,
236,867,413,428,977,329,776,141,018,632,373,304,810,869,050,942,665,257,955,
533,241,126,657,494,374,846,565,678,795,164,119,250,115,810,249,761,650,480,
773,340,786,159,333,098,158,765,809,975,049,213,813,432,621,571,525,274,268,
707,115,205,798,477,561,488,193,070,612,447,687,023,480,743,311,258,326,003,
709,180,144,982,866,474,508,624,975,470,793,905,892,531,939,989,753,150,460,
893,617,129,388,141,289,953,052,192,815,587,732,233,312,752,830,842,619,684,
775,252,248,834,838,622,702,733,045,536,506,909,140,324,687,644,737,676,732,
567,199,750,469,037,991,909,119,223,445,967,819,999,543,609,954,163,670,874,
634,398,636,281,158,208,845,513,310,160,704,859,020,943,802,988,377,044,494,
302,574,842,438,882,504,586,567,799,223,046,017,370,242,583,102,833,864,736,
879,120,017,426,702,575,512,585,586,585,375,688,640,668,034,420,124,117,220,
752,772,511,218,154,868,067,389,969,976,719,564,276,880,801,738,168,859,532,
793,713,109,514,196,173,667,748,362,479,776,306,712,855,300,113,235,967,625,
222,318,838,453,601,688,205,458,845,480,434,352,912,765,626,125,173,835,050,
921,218,606,032,164,647,654,230,708,084,269,243,989,597,509,916,368,093,340,
132,631,463,070,249,375,966,692,293,520,614,266,910,622,288,515,892,390,540,
088,447,330,498,519,395,618,705,939,516,634,557,553,371,153,905,251,593,849,
203,878,559,037,183,777,090,643,389,292,479,263,699,262,205,604,777,158,655,
493,606,491,944,066,384,484,425,747,277,592,651,444,105,446,706,237,734,968,
991,835,491,747,559,404,534,659,605,662,165,456,510,870,189,173,868,515,630,
709,869,686,299,661,611,709,177,059,505,942,333,540,632,292,948,261,948,639,
003,182,721,945,403,756,468,996,369,251,346,718,297,896,516,014,241,971,229,
030,577,123,118,601,513,826,058,441,337,571,480,139,015,271,323,341,831,654,
707,656,537,837,516,050,635,026,263,563,271,373,830,110,033,688,189,081,054,
788,770,074,793,746,167,837,671,036,092,726,499,156,307,718,878,584,396,307,
615,292,300,377,148,689,340,254,655,395,167,352,933,083,171,668,822,377,999,
393,777,378,670,447,255,738,451,327,310,353,072,382,302,367,212,733,317,945,
478,336,207,890,851,263,299,927,778,677,079,951,840,916,685,146,601,270,653,
122,961,778,191,819,759,226,408,278,410,807,723,628,441,751,944,923,698,165,
981,658,646,889,464,611,059,265,716,789,062,184,145,717,427,536,364,831,809,
460,510,262,819,647,357,333,589,678,300,477,698,994,655,059,060,392,750,329,
964,918,620,460,584,356,620,840,050,724,219,289,575,393,054,197,119,263,613,
152,047,462,132,404,206,842,592,859,370,419,493,399,270,024,115,659,137,642,
005,394,968,034,699,920,175,122,136,306,323,799,958,404,982,951,135,434,721,
415,905,920,494,733,199,328,115,399,500,780,604,392,594,735,282,654,383,009,
113,431,426,988,421,694,941,230,815,108,250,164,702,123,095,369,242,375,934,
484,991,195,567,562,128,364,398,637,244,796,621,302,255,039,931,996,020,039,
787,414,082,167,529,875,102,897,178,293,983,059,988,696,055,184,642,856,276,
238,757,236,040,811,238,856,975,891,611,745,439,728,172,924,841,234,641,819,
643,218,791,707,556,031,163,201,951,836,562,149,584,495,080,769,658,494,464,
950,357,008,696,805,601,038,028,584,746,439,602,374,929,010,475,998,497,504,
687,013,353,714,485,070,735,259,015,340,167,836,261,746,485,401,630,206,144,
131,077,318,483,138,247,331,477,582,783,875,502,542,932,852,436,452,536,221,
865,801,507,444,521,069,656,332,894,773,893,033,239,082,272,061,673,133,608,
185,678,713,358,638,559,213,720,230,805,523,524,859,209,831,948,606,942,355,
842,144,002,089,669,580,795,246,170,511,567,050,107,571,506,568,850,279,414,
222,097,984,604,336,383,550,141,625,067,326,685,452,166,218,317,564,945,687,
349,641,552,635,419,536,127,714,872,993,101,749,973,669,124,318,604,986,110,
132,961,280,201,692,402,927,695,288,682,657,707,649,090,499,977,266,111,233,
031,434,395,360,411,816,849,691,496,676,534,216,251,607,838,557,089,062,311,
818,845,927,225,994,785,062,009,784,704,528,998,878,405,501,876,858,431,784,
085,454,227,347,666,623,838,142,912,921,699,586,272,432,144,754,911,625,308,
010,393,088,749,309,207,002,895,337,461,959,048,377,176,900,859,116,799,249,
880,536,026,296,775,238,156,213,375,768,895,774,583,232,543,080,475,662,066,
708,391,566,609,322,495,321,477,465,458,642,093,311,978,066,679,345,849,400,
193,663,466,345,413,217,701,262,088,047,757,280,967,528,128,170,433,275,814,
022,512,337,680,487,875,453,686,671,658,966,572,769,151,306,378,867,577,978,
067,195,699,663,817,965,091,618,928,177,396,071,857,863,184,279,960,820,942,
204,910,040,716,954,124,710,040,253,957,306,931,650,195,473,137,914,843,315,
076,557,825,772,432,694,465,043,814,816,005,842,063,221,199,763,230,190,025,
779,364,736,255,273,438,172,809,988,124,148,267,723,432,595,805,008,037,551,
077,605,672,037,159,126,433,112,775,610,721,088,595,040,186,770,928,715,771,
307,860,884,080,449,103,772,543,735,520,099,830,587,154,952,855,385,370,985,
116,533,559,911,024,888,035,322,266,479,814,521,920,583,795,320,307,404,788,
997,160,081,958,168,765,813,458,147,278,761,069,674,081,043,222,706,347,192,
312,399,979,695,200,981,163,826,369,656,037,334,474,701,606,488,045,357,102,
443,248,204,639,375,329,068,893,120,121,131,811,161,407,685,798,288,978,011,
783,414,892,087,426,582,389,744,733,962,481,886,556,975,346,502,726,051,679,
602,495,881,599,239,842,257,527,600,438,289,939,754,299,918,317,909,163,264,
428,819,990,016,797,010,426,162,325,969,026,253,920,965,329,364,623,634,330,
846,309,478,559,947,459,148,320,182,204,094,097,624,263,030,957,120,375,947,
686,416,800,705,294,886,076,048,907,478,173,207,420,745,084,718,045,370,322,
032,442,298,229,409,819,481,679,479,771,330,176,460,899,490,707,038,922,506,
483,584,768,376,984,433,654,686,152,851,496,254,979,696,544,993,165,177,267,
977,218,515,435,425,216,314,141,449,692,565,587,814,800,083,006,322,259,053,
629,253,585,802,719,354,068,132,394,912,277,687,087,161,832,080,837,542,964,
017,397,383,136,080,938,147,036,314,625,358,008,339,525,247,951,842,709,547,
877,393,100,235,881,507,350,247,958,953,327,399,111,224,307,729,107,987,941,
453,383,564,480,346,647,678,436,313,382,529,380,650,318,781,509,127,699,728,
722,816,914,466,607,444,265,747,631,976,493,236,487,067,557,247,134,649,332,
258,753,791,103,508,822,721,834,282,139,318,492,168,269,106,348,797,842,091,
081,126,435,958,421,484,313,827,211,001,617,384,122,201,628,775,050,988,133,
256,984,174,451,912,813,462,280,456,181,200,521,148,136,975,121,944,738,828,
688,361,551,201,894,737,728,865,270,947,083,289,043,052,623,853,765,717,727,
327,520,132,012,474,744,346,000,614,335,567,958,558,885,589,796,916,788,943,
965,666,749,511,867,447,845,017,130,493,370,775,196,809,532,800,902,828,816,
193,882,614,733,515,250,828,913,015,182,836,947,657,658,096,445,813,054,298,
603,361,736,081,475,729,395,587,366,011,528,585,184,011,542,858,140,232,483,
854,092,950,903,274,451,819,343,826,038,197,979,784,196,551,603,457,098,892,
002,699,281,400,698,758,201,767,133,653,370,364,962,327,467,470,879,254,878,
196,716,543,963,245,079,118,229,981,239,534,540,251,284,824,976,944,682,636,
812,247,753,330,851,755,722,278,528,297,628,287,048,227,307,592,353,417,171,
115,655,433,102,488,464,045,764,037,402,078,144,000,295,819,634,967,025,416,
217,800,368,071,941,459,212,379,227,751,173,496,669,735,424,986,765,482,692,
310,951,957,033,222,071,105,580,107,346,139,746,239,298,729,046,071,580,548,
065,923,836,650,633,658,079,177,312,899,347,542,466,078,461,914,747,562,769,
019,120,032,383,098,163,552,744,783,224,518,868,967,607,909,895,702,466,615,
658,893,426,328,569,958,686,456,346,995,819,236,699,696,188,915,521,020,060,
926,533,299,048,223,695,308,589,094,479,419,198,079,395,658,482,059,931,403,
343,771,711,060,785,595,197,723,618,680,533,331,436,823,349,846,604,906,487,
078,281,005,652,705,504,859,060,601,707,280,677,272,157,196,750,537,442,219,
171,654,629,704,756,147,118,282,064,892,689,056,836,982,507,107,616,124,384,
099,558,356,105,784,105,042,084,756,210,137,014,765,661,312,677,082,775,563,
736,947,462,755,361,153,273,485,533,685,471,815,278,764,905,133,913,885,430,
689,966,936,909,756,670,077,867,046,766,587,358,447,246,168,702,862,206,793,
359,282,669,627,245,852,935,413,665,310,700,257,530,179,292,630,402,935,831,
411,869,042,454,679,927,107,403,540,178,376,631,911,213,398,533,905,913,447,
284,720,629,006,503,498,488,411,316,583,120,491,963,607,455,198,830,140,823,
863,497,687,530,499,468,976,225,637,938,950,555,275,631,417,531,641,742,354,
340,168,930,930,593,420,189,679,152,304,702,825,207,632,868,204,578,002,484,
606,166,144,666,259,222,256,015,325,736,931,849,240,566,051,823,620,575,935,
861,322,505,960,476,422,807,425,069,732,771,322,373,799,952,506,694,975,806,
848,588,948,952,768,226,321,681,817,885,317,220,916,887,415,244,898,734,319,
696,054,216,074,050,957,739,581,312,745,742,306,537,757,043,000,754,508,727,
704,078,452,896,973,179,914,447,900,889,928,232,280,805,952,708,399,745,910,
009,892,417,342,960,897,975,213,748,375,334,874,214,842,089,516,459,471,237,
509,416,619,390,503,488,651,599,251,273,457,327,376,381,591,052,492,398,296,
223,721,852,032,370,485,992,935,412,826,657,703,394,993,342,371,453,521,031,
693,467,939,139,610,061,647,179,911,272,938,344,674,159,261,314,907,917,964,
830,466,474,879,160,635,837,550,378,823,984,150,405,009,514,457,620,490,566,
714,161,362,627,376,635,956,067,478,728,493,278,418,408,955,343,548,888,963,
679,960,880,786,829,348,270,465,317,022,224,842,462,480,323,905,746,448,153,
069,937,373,366,068,169,803,217,057,707,403,103,768,297,138,415,213,109,181,
589,749,820,386,100,908,793,146,360,643,117,014,820,591,706,524,240,372,445,
262,904,905,037,703,969,194,217,411,099,151,748,510,520,048,239,133,882,125,
398,870,174,063,272,010,358,919,913,946,774,235,351,978,061,916,735,348,453,
823,756,206,383,227,718,789,172,117,732,289,759,173,573,651,860,896,134,426,
031,711,353,126,946,707,368,864,253,036,047,893,524,244,213,253,102,257,618,
406,091,195,360,014,420,852,071,860,213,380,807,083,207,304,507,922,183,742,
697,460,385,903,606,608,756,374,210,013,371,479,336,589,510,608,390,800,422,
109,077,866,422,807,610,050,099,571,154,822,111,949,499,066,813,965,899,303,
055,336,063,485,183,850,644,064,077,912,234,238,372,729,372,030,242,974,759,
011,731,603,988,570,520,441,114,704,217,979,729,235,900,488,675,948,546,163,
968,714,460,869,077,393,735,860,120,675,501,472,649,731,723,911,028,744,785,
312,325,893,608,363,975,734,718,808,972,807,001,550,721,369,586,495,075,314,
059,467,935,866,434,453,433,005,140,059,780,826,695,579,623,734,896,802,962,
806,301,849,134,795,899,747,758,738,700,976,405,554,923,257,273,608,589,693,
841,438,693,020,862,351,943,520,063,378,606,748,771,983,892,168,055,980,658,
664,281,121,733,119,117,515,413,336,702,524,937,785,371,236,451,454,287,199,
985,528,371,560,030,214,877,018,008,676,051,260,293,722,741,431,781,316,879,
715,440,790,711,460,439,652,754,892,098,952,916,305,800,397,080,663,403,504,
014,062,404,122,877,695,702,924,710,729,908,991,180,563,563,049,586,572,858,
772,859,955,536,586,172,319,082,590,434,597,453,178,539,578,017,029,309,518,
747,091,010,834,175,273,664,294,377,895,297,164,492,032,106,809,720,692,712,
733,467,855,410,204,594,531,675,486,779,897,347,075,263,687,617,124,182,028,
640,273,405,787,157,944,913,389,999,251,265,472,651,779,316,706,764,458,554,
692,555,004,536,940,931,364,519,680,054,164,716,113,518,182,641,108,065,969,
990,061,206,053,393,402,948,260,769,110,907,024,268,772,182,974,080,641,791,
615,245,174,215,592,464,609,313,576,039,353,285,560,615,053,834,030,444,860,
870,388,867,612,357,433,333,699,532,504,064,215,235,258,605,418,667,386,635,
406,656,560,836,486,033,044,246,248,855,350,065,632,094,081,110,653,708,509,
398,543,272,451,440,142,614,461,649,510,529,892,905,036,180,223,032,116,773,
299,291,115,374,520,687,801,598,943,309,079,553,770,373,876,139,415,445,441,
189,779,968,578,287,014,531,169,829,598,199,391,314,128,462,064,225,196,826,
133,933,040,334,498,491,020,930,273,527,696,168,997,839,635,459,537,551,909,
932,366,169,116,398,098,262,741,316,993,652,397,056,215,889,197,608,496,410,
987,014,259,775,162,167,317,659,804,378,230,422,031,662,497,518,020,129,697,
220,601,899,130,551,016,480,444,887,077,328,778,486,362,623,773,619,212,944,
270,553,406,904,512,883,463,349,890,283,425,131,641,330,987,186,878,497,859,
203,086,650,681,065,859,552,247,806,528,390,917,662,402,897,516,226,240,620,
265,052,857,638,028,859,133,183,898,156,810,539,028,816,739,740,893,433,453,
395,919,880,073,206,467,130,874,628,812,581,033,302,487,981,607,060,800,558,
764,532,959,208,979,937,878,160,427,280,028,955,957,886,487,896,153,411,730,
936,686,139,952,297,039,667,546,630,910,387,981,819,230,930,291,058,222,796,
916,505,934,143,930,236,931,129,244,370,903,493,334,922,835,878,987,737,038,
854,491,286,084,364,957,780,116,723,990,924,752,105,929,707,436,489,743,485,
332,965,059,580,586,356,975,463,560,537,692,956,649,951,288,271,040,115,832,
412,637,306,234,898,470,678,552,846,022,294,178,474,049,602,391,869,610,432,
504,208,715,600,974,401,582,697,923,550,423,292,017,522,692,756,504,057,993,
630,948,655,610,758,148,321,164,513,528,179,799,765,078,623,297,573,992,342,
038,165,789,647,761,195,742,303,016,924,986,242,910,681,051,872,037,382,312,
812,113,806,468,274,665,637,013,809,467,013,803,586,330,309,882,835,023,449,
372,206,466,312,643,760,309,948,517,806,858,718,641,020,140,896,103,282,264,
860,139,261,708,300,861,584,870,154,665,923,049,349,324,062,094,429,956,467,
807,320,466,973,075,756,270,521,652,549,661,938,675,148,009,969,172,420,349,
876,201,009,041,015,006,611,905,435,599,540,303,644,626,091,169,409,133,878,
195,739,758,090,094,494,119,023,200,661,087,589,248,001,403,541,997,421,880,
974,870,830,699,948,892,634,967,299,489,191,457,275,366,277,709,136,534,664,
924,209,314,775,116,897,929,702,245,340,047,038,826,957,704,271,733,159,373,
594,226,164,874,184,456,603,615,298,864,723,493,746,551,769,212,635,644,351,
609,829,069,857,335,871,142,343,055,003,074,799,561,986,355,340,269,319,185,
652,208,686,402,294,436,509,935,379,394,666,035,272,185,710,240,056,741,607,
713,746,945,189,980,128,243,336,694,607,068,951,787,071,012,328,970,505,949,
519,137,277,092,562,220,952,457,966,794,787,526,463,456,134,584,702,588,176,
192,336,905,659,322,469,034,659,157,820,615,247,700,544,681,150,415,589,713,
690,926,986,705,794,742,722,524,002,719,773,226,754,071,488,939,701,640,429,
327,759,073,043,905,173,391,649,515,660,011,488,976,271,775,350,332,166,232,
234,025,477,483,640,961,797,680,287,619,489,412,474,127,706,301,874,441,025,
661,595,213,429,532,621,420,207,055,201,841,709,732,118,703,312,780,634,448,
186,606,224,231,442,696,404,884,280,750,782,846,805,544,959,396,868,239,089,
952,848,479,474,121,778,242,172,619,384,881,009,269,683,085,489,551,666,999,
871,622,998,115,987,952,265,525,528,038,252,109,493,497,372,812,682,964,680,
743,310,094,202,892,593,846,855,040,457,567,001,312,437,085,838,875,235,307,
448,068,866,575,278,983,819,176,891,285,143,761,420,090,270,259,542,858,081,
313,741,523,923,182,591,677,779,654,265,495,434,586,655,706,845,949,367,492,
301,753,907,500,033,950,087,214,425,226,520,489,760,529,792,538,171,539,540,
753,762,083,092,358,257,559,639,264,871,711,456,707,728,801,749,124,202,830,
861,462,961,376,275,792,263,816,995,739,089,099,591,134,839,985,236,977,703,
798,540,031,974,976,007,638,189,391,645,490,808,198,034,085,456,311,633,476,
005,254,745,934,725,086,782,664,381,170,175,719,990,389,136,062,728,162,189,
915,938,837,041,776,142,225,518,037,310,196,551,683,754,443,494,836,511,033,
299,250,595,105,293,034,337,399,075,895,481,396,566,409,690,280,583,887,499,
192,383,599,922,232,144,465,408,516,616,313,628,324,888,402,114,881,564,639,
180,272,897,019,578,548,982,919,004,477,993,768,446,073,019,322,724,554,192,
785,043,287,528,769,823,508,341,622,934,592,714,587,578,694,560,125,197,999,
939,171,300,189,894,352,374,682,123,559,136,514,494,364,385,115,072,964,117,
512,399,974,775,803,411,899,351,191,155,002,197,772,349,439,118,475,068,969,
317,128,095,775,837,699,646,589,270,652,030,677,042,052,560,323,610,119,523,
257,856,626,431,071,179,680,239,824,360,920,196,252,062,023,647,830,728,224,
937,638,524,053,759,505,776,347,427,967,109,639,785,899,966,429,830,417,925,
976,881,367,733,861,435,121,705,346,177,483,437,981,860,862,018,717,402,370,
739,529,449,164,324,860,529,165,878,700,002,004,818,706,403,186,717,994,924,
232,202,837,072,725,258,418,355,805,660,040,106,349,909,036,105,348,831,013,
936,019,467,153,294,951,778,862,315,602,444,874,052,928,878,972,697,845,644,
095,666,640,548,420,380,680,616,850,959,637,088,276,118,349,965,161,412,386,
436,256,853,319,006,081,486,335,403,305,390,899,731,038,315,767,340,179,357,
661,742,732,127,929,086,027,310,203,781,112,859,609,168,442,229,346,673,159,
709,785,736,061,330,071,683,063,609,556,398,251,485,533,815,085,228,644,510,
608,652,367,101,050,242,539,373,663,359,078,263,767,931,424,766,717,918,575,
397,285,976,659,940,554,562,508,078,115,415,965,239,157,325,289,718,509,975,
420,208,364,027,365,637,633,382,664,909,418,008,502,149,727,329,122,068,465,
651,866,414,815,986,515,240,220,392,356,826,463,888,735,088,277,040,718,633,
463,614,348,214,831,522,140,234,315,718,903,756,827,798,704,487,822,440,367,
568,227,727,432,811,491,873,568,068,597,909,742,193,795,390,474,113,956,452,
867,500,788,929,997,358,936,345,015,569,312,353,397,727,528,029,562,152,997,
784,947,792,590,073,584,260,919,204,970,875,246,690,353,534,893,555,316,075,
963,397,396,754,472,239,431,699,664,719,332,569,780,415,415,577,718,335,053,
457,373,148,121,663,813,743,703,933,162,653,790,554,820,317,201,061,628,184,
975,106,927,646,978,467,235,551,640,397,144,625,132,671,613,572,135,496,675,
708,213,237,621,696,745,433,706,541,075,801,235,219,560,931,024,455,235,356,
378,957,564,043,143,962,044,910,672,198,697,812,525,314,687,559,215,924,378,
182,075,570,339,196,734,489,046,112,497,370,596,902,499,193,826,013,826,812,
565,613,829,546,626,046,515,966,601,894,334,083,345,368,957,672,310,620,720,
944,216,024,339,939,073,440,454,170,271,629,125,342,687,856,397,141,993,248,
586,506,491,372,042,703,792,049,647,540,266,284,230,908,769,847,689,375,699,
859,116,805,820,695,806,051,634,760,285,043,241,288,414,322,427,842,486,183,
499,514,549,465,203,502,050,848,572,898,408,664,349,421,592,736,383,283,868,
800,258,496,711,633,979,825,482,901,774,625,056,615,753,456,823,537,536,505,
610,567,945,697,397,746,351,506,745,476,967,510,256,008,330,751,371,947,709,
338,362,080,948,002,580,967,468,783,001,751,036,369,900,759,135,735,968,789,
106,011,622,024,011,254,158,881,010,136,647,711,826,363,116,804,079,621,750,
921,020,591,331,620,530,987,419,283,739,402,000,577,679,743,793,142,195,368,
309,344,650,122,908,548,626,773,964,963,470,337,894,373,395,535,022,314,898,
294,585,143,330,392,553,275,927,202,332,843,715,939,418,109,962,370,973,289,
803,578,781,796,681,007,571,121,391,199,821,346,677,101,216,681,837,002,366,
039,919,404,761,457,503,075,468,401,909,464,741,184,760,036,720,016,436,324,
101,125,847,313,482,167,633,688,437,379,791,982,277,312,401,095,792,014,318,
338,521,472,688,851,554,833,680,929,315,643,397,960,055,975,536,902,742,418,
419,677,326,908,280,495,964,406,707,867,208,399,916,140,231,766,900,832,634,
435,213,500,025,195,765,170,483,715,078,196,827,363,449,098,632,713,490,689,
470,395,726,806,250,904,759,757,917,484,968,343,369,692,374,953,503,650,861,
609,936,115,840,001,005,234,203,211,152,697,404,702,453,430,533,594,837,019,
356,591,235,723,128,483,759,631,640,231,935,434,129,998,703,417,054,600,176,
095,314,905,546,679,634,594,910,277,979,009,180,046,435,350,697,005,249,973,
647,543,948,134,119,009,795,454,850,527,178,243,840,318,073,544,498,759,253,
148,934,201,480,513,870,533,212,774,752,000,093,012,345,364,487,346,731,673,
798,551,873,428,794,422,814,551,236,579,743,335,975,247,819,065,324,781,642,
556,407,428,382,628,606,188,332,594,300,962,513,325,803,015,116,753,669,160,
553,287,943,296,392,756,413,610,368,436,347,117,645,348,514,736,643,458,280,
433,070,756,235,664,367,099,970,902,496,348,147,379,564,936,738,430,092,304,
479,126,587,963,355,198,133,815,696,118,948,821,714,324,889,961,970,033,164,
365,832,462,711,743,351,348,621,324,778,155,621,549,685,749,659,918,278,230,
160,107,291,301,824,944,086,381,301,181,908,016,070,533,844,974,478,712,861,
020,037,194,268,036,510,386,169,080,699,369,702,948,696,962,609,577,875,711,
639,523,290,414,224,150,690,675,547,017,845,499,462,352,461,125,462,173,886,
059,278,035,048,921,009,317,546,048,256,230,600,638,238,833,853,276,128,386,
140,444,358,385,862,150,220,426,726,990,098,307,142,632,199,767,633,853,922,
247,029,057,665,616,014,276,208,610,091,613,292,373,278,450,911,809,924,436,
882,931,747,355,724,899,000,152,049,372,505,603,640,657,904,077,248,131,975,
558,314,605,486,492,005,854,201,378,985,927,852,593,070,151,413,761,226,928,
425,235,297,700,190,476,647,585,242,182,854,563,149,628,183,781,408,918,070,
561,571,517,526,911,278,800,673,668,818,554,550,367,169,906,391,037,809,888,
845,400,712,552,799,332,716,175,170,240,935,303,643,787,230,266,565,345,734,
516,707,837,003,135,230,387,860,237,845,651,458,997,123,355,060,861,733,362,
779,097,813,171,088,666,188,455,231,165,546,842,223,673,143,722,032,530,325,
019,651,856,549,063,866,499,281,741,401,485,168,434,793,983,458,500,055,183,
299,880,404,588,740,647,296,748,001,389,294,161,158,122,619,467,384,578,840,
884,283,477,935,076,445,721,684,871,927,261,208,952,612,480,617,145,209,343,
123,983,857,339,487,463,137,379,713,577,170,302,527,323,279,644,367,683,797,
438,410,868,174,481,084,343,698,429,801,543,806,145,023,108,501,991,336,923,
703,683,360,867,833,243,925,209,415,628,942,329,307,953,585,210,331,046,828,
070,673,388,005,964,697,803,981,911,062,774,693,211,142,868,500,280,110,808,
535,735,410,878,345,274,636,554,778,237,292,468,736,204,892,094,992,933,421,
238,515,857,212,811,787,528,439,734,204,016,718,318,028,267,523,915,293,287,
064,373,501,871,000,659,350,847,568,884,940,158,790,649,370,794,976,918,057,
061,698,541,086,745,112,265,649,408,675,496,297,989,649,877,502,367,323,707,
095,974,081,257,026,989,144,269,867,200,925,246,005,433,926,442,970,037,917,
014,878,058,707,100,257,525,978,220,866,230,659,965,026,996,885,183,772,920,
809,269,543,605,367,617,883,401,118,606,986,870,136,516,011,854,356,131,300,
936,386,424,884,119,183,585,283,859,042,991,506,734,531,606,346,613,504,265,
713,621,245,587,757,500,662,796,322,444,388,543,300,883,751,872,142,210,844,
612,614,604,775,852,844,579,730,380,476,241,387,369,850,233,964,646,587,133,
462,852,903,100,259,845,396,955,007,072,864,695,817,168,843,184,697,948,260,
588,161,242,627,496,175,360,651,730,235,527,858,140,479,539,596,629,534,847,
021,394,865,780,054,643,201,840,052,061,456,330,114,106,999,392,022,043,227,
014,702,662,738,447,341,131,756,216,058,071,763,958,728,488,744,707,031,312,
704,157,567,947,783,878,388,114,194,700,561,350,523,904,399,067,309,186,580,
223,843,035,633,794,037,513,248,205,746,083,319,300,685,313,690,712,523,247,
199,663,185,338,333,570,196,198,184,249,000,825,569,992,493,554,143,055,392,
077,220,788,204,055,407,787,507,868,457,175,835,510,297,437,891,255,577,800,
254,791,229,246,303,087,956,497,308,574,563,190,097,807,014,250,949,901,197,
651,113,146,625,174,654,196,625,501,279,825,506,920,145,425,728,342,578,672,
482,195,748,268,806,070,456,272,793,031,983,139,993,269,454,198,188,954,409,
584,460,974,315,203,473,052,091,704,279,591,549,458,128,258,094,354,853,041,
665,625,638,226,268,470,985,854,568,610,842,819,231,747,693,487,160,265,878,
816,808,928,558,728,025,076,856,640,377,616,736,026,160,630,880,912,617,601,
879,338,062,688,885,231,081,011,103,533,250,110,838,835,261,128,623,450,068,
049,636,420,838,458,041,928,058,027,836,834,454,397,396,482,878,251,709,381,
505,787,935,087,110,429,901,713,097,950,898,562,109,855,727,237,095,208,187,
997,657,056,165,126,599,062,366,063,190,519,843,212,309,353,061,405,777,250,
246,791,912,736,449,762,426,240,317,942,906,450,306,272,192,665,423,238,676,
569,342,836,900,257,750,541,287,127,915,053,138,049,309,822,153,115,398,315,
834,043,485,418,298,393,432,443,691,543,663,764,746,180,390,286,814,409,224,
201,086,553,373,612,460,487,196,583,677,550,834,319,657,699,825,929,054,794,
151,164,955,374,374,161,538,698,016,414,741,123,016,031,860,728,135,852,184,
996,448,804,035,625,567,204,306,058,826,701,402,151,961,185,185,209,438,278,
564,638,006,703,286,702,890,541,579,767,502,425,037,245,764,837,557,219,718,
965,128,940,031,557,833,190,376,571,930,228,265,176,755,713,040,992,582,649,
702,742,617,178,619,018,088,702,634,466,731,064,225,279,214,978,227,111,094,
723,816,639,435,064,040,901,590,685,712,204,520,488,504,293,753,964,062,112,
420,375,576,890,080,093,631,291,797,314,695,618,605,953,013,430,327,203,534,
976,165,199,019,883,585,267,920,934,924,287,837,139,559,194,680,989,672,633,
094,087,682,321,699,012,202,197,235,891,440,181,328,515,532,682,778,820,206,
025,281,518,742,767,559,020,255,215,210,869,798,747,316,183,193,043,482,632,
454,785,381,407,119,556,185,495,313,747,288,321,943,707,429,654,880,859,295,
162,045,232,321,487,998,952,652,296,303,594,929,509,463,988,354,662,650,866,
784,541,159,782,668,577,041,039,008,557,686,624,770,648,439,047,242,590,158,
667,988,993,028,627,740,783,804,740,682,400,906,221,756,140,930,581,135,084,
214,564,529,734,402,374,527,987,623,860,777,767,882,038,912,492,986,852,499,
709,372,003,142,384,290,503,259,847,036,279,006,963,664,995,672,860,754,796,
522,567,876,912,092,984,469,417,556,601,132,531,460,220,616,361,457,426,470,
924,413,638,291,007,439,508,204,683,659,383,663,525,964,204,368,139,477,165,
002,992,309,231,965,241,698,778,243,400,850,663,754,455,039,821,135,532,102,
038,031,567,932,341,403,495,120,286,127,008,291,618,678,387,877,733,225,558,
624,431,752,266,495,249,172,927,474,755,667,362,923,530,361,684,111,271,385,
426,818,224,782,587,237,158,045,202,065,081,246,275,678,765,411,047,035,784,
157,582,950,552,995,108,904,096,391,286,287,335,446,789,919,149,248,445,280,
957,990,434,505,386,027,450,255,584,037,784,423,874,794,829,821,812,881,233,
503,598,473,691,469,338,320,802,256,732,337,723,350,898,702,035,766,914,339,
697,777,272,937,420,385,691,262,157,499,410,222,791,242,914,032,008,532,562,
395,259,816,510,232,019,426,917,591,613,162,590,540,831,684,489,242,990,487,
025,637,232,220,681,842,423,322,870,083,633,802,828,001,920,799,420,121,123,
434,500,185,874,469,253,375,112,444,922,303,522,687,426,156,375,837,869,228,
973,794,873,045,302,679,286,120,197,625,065,324,025,908,131,001,763,882,731,
070,614,446,327,484,878,562,325,106,655,457,513,559,174,105,557,177,647,634,
470,355,511,590,590,778,842,785,658,245,370,267,205,870,747,022,006,704,913,
028,966,576,546,924,101,946,264,985,214,908,383,412,671,502,595,272,225,409,
995,759,907,898,193,488,379,841,622,489,799,481,590,929,143,935,643,295,720,
569,637,092,549,831,261,024,309,200,322,414,502,922,662,921,694,834,382,200,
124,754,799,118,143,941,726,976,941,645,574,034,061,167,301,363,929,102,517,
961,153,688,114,114,055,584,669,440,040,645,050,800,473,753,840,719,352,511,
689,478,336,543,717,218,992,223,675,485,216,699,143,453,229,246,358,271,821,
230,537,104,004,300,012,401,778,797,370,949,204,091,343,360,843,834,346,732,
022,726,657,800,362,447,005,183,203,704,822,840,169,361,061,567,215,821,983,
575,067,180,042,721,664,267,413,973,166,808,936,400,468,928,712,562,156,776,
197,282,976,488,947,311,935,756,758,611,771,359,057,202,732,087,912,495,365,
960,686,124,858,015,839,746,301,136,288,030,085,104,004,590,876,162,913,552,
188,620,672,101,681,209,638,802,632,805,578,270,097,353,454,360,495,030,186,
111,618,470,978,769,141,053,294,844,232,918,697,790,317,407,906,149,816,450,
541,251,861,997,444,442,311,308,758,373,270,253,600,476,169,062,471,569,830,
369,392,244,561,332,233,867,285,239,187,406,843,581,127,602,275,468,967,699,
762,399,114,153,843,055,953,331,769,958,682,078,644,011,130,312,988,504,366,
075,828,225,611,719,256,806,370,400,706,044,304,508,563,362,447,688,309,110,
513,561,294,072,430,138,133,403,819,758,037,136,774,463,834,197,696,260,436,
155,376,358,987,335,494,147,229,557,021,909,920,272,110,762,310,510,301,384,
193,028,488,096,720,904,609,183,975,462,839,636,967,049,610,452,882,329,053,
576,447,493,510,865,679,968,594,150,352,097,467,494,384,317,885,127,211,100,
801,934,557,714,748,545,886,945,808,764,764,712,954,978,753,280,108,527,664,
654,438,982,550,998,997,183,856,109,665,806,349,566,190,367,333,278,781,929,
379,424,094,684,837,671,907,750,506,115,837,301,203,203,651,552,262,388,845,
234,581,417,333,139,591,666,399,708,883,353,010,956,344,584,434,368,048,596,
230,368,711,572,371,872,016,798,317,112,565,469,499,631,060,783,441,321,165,
801,473,400,728,136,263,605,188,970,691,071,448,375,022,493,658,593,465,753,
961,038,036,455,883,931,106,943,054,227,664,634,001,749,964,182,979,333,518,
650,542,655,290,266,650,356,908,631,983,064,863,718,796,929,415,324,041,313,
940,543,192,056,748,046,515,891,677,907,999,338,418,375,045,849,906,597,027,
499,392,954,530,941,187,279,519,512,194,208,478,914,115,357,306,502,536,159,
326,425,181,353,861,684,405,573,467,538,118,033,631,241,700,176,298,766,541,
950,647,348,458,732,011,536,192,275,646,797,233,653,240,592,294,381,213,889,
177,274,884,802,626,679,875,782,743,151,284,764,140,812,794,830,754,763,130,
194,297,291,752,284,227,182,440,486,017,875,044,249,676,433,480,888,213,921,
276,881,046,058,719,046,209,845,376,615,246,806,231,020,203,860,518,225,300,
183,508,045,828,904,704,858,170,787,327,824,945,940,828,964,843,091,232,166,
235,810,601,769,740,358,674,061,634,350,956,112,335,367,402,175,107,948,029,
975,416,483,497,821,187,970,849,644,189,935,990,481,890,462,518,446,360,879,
706,961,379,648,216,838,834,995,189,226,626,921,624,041,749,249,525,287,672,
300,786,278,768,876,318,040,008,171,491,996,805,926,105,063,705,236,897,566,
100,846,774,707,402,967,354,070,505,985,244,387,587,812,842,719,234,530,800,
929,499,698,487,864,315,892,151,428,769,350,573,579,178,263,977,891,148,890,
332,707,383,024,938,735,425,006,289,679,336,435,318,162,973,405,009,692,828,
984,709,180,271,944,697,567,923,235,254,045,972,490,379,586,889,739,235,682,
191,429,849,472,488,121,657,337,692,857,392,923,172,522,796,060,678,966,669,
748,044,514,923,513,740,393,704,218,311,982,990,254,299,378,378,522,364,692,
064,739,910,153,943,674,875,119,767,947,550,260,003,802,779,853,380,559,063,
061,387,087,534,232,691,177,518,216,507,529,409,622,192,826,902,201,895,272,
047,042,529,151,534,627,221,105,559,027,201,827,385,997,070,914,850,707,220,
639,739,966,382,425,915,929,764,686,913,299,801,337,995,099,720,702,844,955,
814,412,496,469,362,165,542,044,379,920,744,685,136,210,701,912,323,432,795,
849,329,817,843,742,550,607,589,955,822,754,206,368,145,327,036,232,686,927,
826,510,573,938,923,227,243,207,286,504,982,847,538,478,502,807,386,985,744,
823,825,430,776,777,951,565,609,097,816,395,980,387,879,203,000,017,937,098,
930,177,099,744,891,684,319,915,496,841,773,475,863,895,931,702,573,151,439,
042,122,229,647,019,548,280,343,814,895,142,874,406,704,300,738,727,994,955,
220,389,119,940,060,095,689,239,427,791,172,378,342,068,536,324,654,222,610,
942,357,782,154,158,663,070,301,869,038,854,385,276,046,652,968,358,197,959,
482,911,273,066,229,384,748,747,196,236,117,034,141,278,859,366,805,498,005,
225,838,153,460,905,563,523,987,855,946,652,025,598,572,024,760,802,455,697,
494,212,130,046,549,957,604,432,131,365,119,970,281,458,277,790,022,782,298,
449,858,847,421,952,849,864,678,324,847,188,417,471,621,060,746,472,025,493,
851,505,350,564,435,053,490,062,906,651,204,144,670,718,023,332,391,215,747,
024,029,675,254,777,247,068,784,558,069,223,356,247,382,995,741,307,480,297,
474,855,398,857,134,103,615,259,639,216,225,799,638,289,529,470,096,060,542,
065,975,508,187,105,583,161,672,080,252,888,116,313,225,385,003,067,870,535,
970,656,516,980,877,506,609,681,552,875,625,590,963,304,540,146,215,733,879,
011,375,623,719,578,735,911,152,741,056,396,023,151,547,513,393,229,735,627,
870,656,295,255,405,023,615,379,911,116,329,883,078,737,914,367,210,268,274,
114,865,987,757,142,033,959,284,020,452,525,536,755,356,072,150,513,278,964,
817,446,717,000,643,252,694,515,052,757,611,775,365,290,359,855,002,159,738,
818,050,928,310,013,476,829,586,993,331,497,247,195,398,476,405,422,873,871,
718,815,623,815,206,658,120,498,297,981,100,694,006,836,326,150,850,181,895,
716,023,497,234,028,855,848,953,104,789,291,427,250,364,080,226,752,457,973,
484,404,807,739,021,791,128,432,871,552,205,956,960,315,475,608,920,942,327,
058,599,781,809,181,635,727,525,086,283,477,808,831,042,948,094,695,685,255,
901,730,098,115,074,747,929,159,810,788,342,277,802,295,763,866,720,026,358,
853,324,122,019,613,275,188,139,162,375,680,131,331,346,179,997,207,197,679,
198,288,814,703,942,936,549,851,923,548,086,006,177,463,328,082,810,682,187,
095,858,439,107,213,404,878,885,115,690,301,327,119,755,677,558,784,665,283,
146,226,612,727,762,165,913,207,332,645,693,195,684,384,532,089,261,295,179,
023,070,048,393,265,229,501,829,432,518,859,926,248,124,895,973,031,604,170,
880,213,913,648,525,368,742,529,390,084,456,055,483,234,156,231,605,734,899,
595,638,083,876,998,877,038,897,275,956,844,524,041,339,771,303,116,994,274,
237,076,916,954,939,016,149,663,527,557,001,637,970,656,582,748,858,125,589,
469,559,346,756,186,657,915,712,792,966,922,507,256,892,186,011,949,571,005,
151,462,099,213,460,756,685,870,104,867,025,280,593,278,883,374,761,328,438,
289,888,438,240,080,612,231,467,265,096,098,475,927,064,259,627,589,345,317,
707,003,230,367,313,866,811,714,574,822,267,847,262,638,533,006,649,084,342,
627,737,864,249,086,818,282,310,221,244,121,244,688,392,955,124,330,267,018,
410,610,127,054,876,340,571,143,251,005,213,602,681,736,758,516,044,287,041,
182,574,330,315,005,623,774,378,045,374,709,657,537,484,022,609,181,300,964,
549,170,442,385,231,809,323,535,076,889,342,461,838,301,137,818,169,877,856,
621,563,419,224,017,615,888,971,764,320,745,993,431,686,040,417,340,474,747,
209,413,353,856,282,507,793,855,956,264,134,277,731,980,387,638,548,522,107,
205,583,457,068,736,918,002,072,932,324,447,521,216,651,678,322,721,873,907,
836,634,981,505,074,881,335,319,062,880,202,814,448,441,481,628,969,462,577,
895,082,716,896,894,643,871,339,955,494,791,822,649,804,260,535,969,253,131,
757,117,968,208,993,180,939,347,891,706,883,109,643,181,401,411,031,511,854,
401,669,916,622,962,254,779,684,510,882,291,426,312,016,871,725,544,955,683,
609,151,769,794,064,210,754,665,002,335,238,864,931,341,674,906,180,367,550,
992,589,522,116,576,740,016,642,609,145,172,692,661,225,318,403,279,481,327,
708,916,904,144,846,213,727,429,768,658,602,366,301,184,219,303,358,977,787,
123,818,465,875,287,868,164,172,352,574,447,641,491,392,360,641,261,114,316,
533,614,749,032,283,128,587,211,870,766,132,312,597,902,727,837,706,908,643,
050,738,114,192,988,767,939,252,164,261,357,818,389,837,582,800,147,100,425,
150,433,710,703,548,274,681,412,620,443,547,622,244,485,682,076,397,556,709,
002,476,969,343,271,947,708,672,455,422,391,092,475,886,290,879,309,640,509,
843,116,791,887,152,468,110,057,200,404,179,398,545,138,391,768,319,676,251,
781,026,944,127,243,104,536,730,434,099,136,320,420,959,709,452,777,623,660,
057,970,501,196,929,541,412,306,093,167,494,504,084,468,733,385,310,837,449,
401,682,430,944,937,552,095,423,084,006,706,642,508,585,549,568,655,102,859,
322,467,976,241,419,865,188,271,660,214,865,892,626,580,652,117,377,247,578,
639,317,920,028,218,232,304,093,192,987,957,217,935,679,930,123,607,478,670,
539,256,828,114,823,428,179,303,508,819,904,056,170,470,978,320,062,995,980,
714,005,057,576,371,579,308,682,565,402,500,594,745,230,808,376,926,597,067,
841,662,830,369,795,297,749,119,448,765,083,825,524,344,712,034,659,594,365,
527,712,061,691,123,086,600,574,594,030,053,392,762,117,583,696,055,274,045,
007,337,559,343,171,661,346,227,178,500,486,491,867,440,701,972,461,408,960,
980,320,303,444,966,572,164,921,846,437,433,229,096,337,824,930,577,210,991,
235,055,519,003,816,300,499,761,468,095,971,050,664,153,106,840,900,546,993,
910,143,705,011,689,179,747,121,404,650,517,158,026,437,164,318,396,552,153,
325,006,279,474,263,811,573,741,133,113,818,286,949,427,728,854,849,396,148,
136,000,341,387,911,358,847,671,532,658,767,262,227,012,302,165,644,005,767,
900,720,982,745,017,999,248,917,945,158,847,550,859,466,912,288,163,234,191,
827,482,731,939,038,770,389,831,102,000,015,614,306,571,788,246,757,022,799,
431,347,201,623,395,683,140,383,646,320,491,834,383,313,730,378,660,354,702,
384,659,138,844,404,667,740,514,920,439,498,918,128,835,082,325,099,825,854,
927,918,850,666,710,356,669,472,360,910,049,710,394,698,349,844,940,070,240,
524,512,693,732,320,240,938,983,372,673,484,976,850,813,795,097,226,484,061,
566,706,491,452,116,063,293,592,346,231,947,071,211,651,433,069,550,805,467,
010,944,136,683,525,122,706,061,821,993,202,059,409,276,017,479,170,189,593,
041,872,197,447,849,241,854,684,127,160,762,225,431,818,875,721,788,831,782,
188,958,139,538,612,443,531,076,904,889,510,195,483,216,320,764,515,249,135,
106,114,288,696,037,836,659,194,916,407,572,611,320,690,087,681,955,352,937,
965,770,316,686,428,958,866,622,894,602,814,919,129,774,146,606,040,115,055,
137,793,398,288,489,082,474,685,094,759,591,667,696,949,521,893,545,309,509,
360,797,954,983,046,641,011,005,467,968,525,992,854,388,451,725,907,976,072,
798,123,412,447,355,093,349,436,618,691,100,472,043,267,808,752,320,643,593,
510,515,449,304,925,616,181,410,267,750,052,346,857,208,479,711,954,443,134,
042,404,794,149,777,641,193,214,665,077,501,820,723,536,898,390,290,482,710,
299,418,117,514,192,086,586,902,819,914,394,179,726,936,591,725,343,105,158,
807,625,381,605,779,093,604,951,790,882,080,764,887,382,905,138,036,908,942,
722,454,726,092,618,198,263,796,077,794,723,187,301,712,916,326,602,252,138,
132,015,523,701,813,093,162,638,452,618,129,508,153,943,882,345,113,104,095,
147,622,761,647,698,321,400,053,813,070,229,476,824,234,816,217,324,936,390,
254,816,232,566,039,116,430,785,282,220,257,677,670,480,035,202,588,119,339,
123,722,206,674,118,123,816,949,654,664,932,719,127,487,544,014,825,715,515,
630,473,256,951,695,866,572,201,319,873,765,468,006,065,179,004,185,152,884,
379,225,422,134,436,996,893,482,214,695,532,347,215,141,747,097,262,551,492,
624,335,381,004,182,272,209,405,273,914,975,152,546,660,623,857,258,206,879,
539,444,157,244,246,065,321,557,860,794,026,478,377,421,341,030,318,778,364,
185,012,067,384,976,237,469,640,765,330,152,338,684,034,247,133,905,241,773,
152,405,221,020,391,896,449,167,811,284,651,587,653,548,204,369,260,057,796,
765,336,731,156,132,587,543,097,633,136,041,975,327,374,296,911,823,765,456,
444,379,361,513,792,099,617,681,423,504,175,814,332,139,014,313,432,608,040,
452,026,558,426,060,485,869,998,843,529,873,763,192,701,137,956,218,263,084,
381,204,766,793,663,228,420,407,693,925,177,044,777,155,292,255,645,080,938,
094,243,509,139,107,500,399,278,438,812,071,065,260,078,145,834,959,460,663,
333,021,979,555,098,612,976,164,775,450,518,183,904,927,926,851,482,045,743,
088,824,982,976,175,450,927,867,151,519,786,257,761,007,916,343,329,163,845,
403,886,304,123,316,967,022,004,604,752,274,772,757,860,312,060,794,422,105,
768,478,001,214,593,975,877,052,570,798,848,088,161,549,467,829,308,728,828,
081,600,767,147,826,880,986,647,553,253,233,079,807,364,682,528,511,790,823,
128,188,009,773,232,215,400,978,041,068,061,829,203,969,013,425,537,412,932,
731,005,459,223,388,908,786,045,779,130,890,750,773,935,052,924,904,220,922,
635,966,683,000,409,617,339,102,270,888,734,993,593,084,099,943,081,317,611,
872,084,719,580,753,676,431,284,324,977,633,968,634,056,796,135,140,890,321,
039,308,940,901,265,302,840,999,873,342,324,639,139,206,169,864,947,222,615,
101,390,555,213,653,785,853,917,995,282,856,597,070,824,543,997,726,003,124,
402,913,669,164,318,973,551,023,046,878,819,486,219,669,283,688,230,259,678,
662,940,789,088,030,955,125,089,215,166,606,193,709,290,590,253,180,397,829,
627,838,044,877,305,708,079,539,367,783,806,232,116,480,680,753,257,910,501,
698,617,870,088,459,737,017,424,700,233,452,165,090,511,092,128,182,811,710,
689,394,969,390,589,421,640,425,709,304,209,700,815,136,191,658,500,062,083,
771,713,668,666,722,568,076,816,207,939,198,638,654,269,422,924,470,258,008,
779,510,603,415,625,210,948,041,493,199,875,697,061,241,418,433,065,783,159,
068,312,456,517,861,154,791,482,966,917,526,499,319,651,340,646,123,074,508,
733,138,135,753,581,050,814,688,423,873,109,028,688,100,015,464,687,286,562,
883,702,402,516,666,963,866,015,423,483,965,118,719,133,301,688,610,323,388,
329,940,900,337,397,002,010,154,814,714,268,734,527,393,894,652,132,219,880,
022,321,169,706,959,738,370,078,457,369,681,943,473,986,800,767,577,053,648,
078,429,202,387,214,737,092,585,651,037,986,492,032,630,154,457,045,441,175,
614,091,243,241,049,498,613,679,573,719,590,625,811,012,037,928,551,169,547,
489,045,284,239,175,409,884,975,222,464,701,464,966,488,093,284,826,073,748,
436,038,858,454,889,308,830,312,771,939,178,446,135,074,042,213,725,769,499,
714,543,219,136,774,077,221,864,439,525,926,408,689,297,515,157,288,769,661,
595,937,887,988,933,955,387,135,671,156,827,614,552,389,944,232,581,955,576,
514,542,179,692,850,896,939,642,696,840,743,490,929,549,533,745,007,818,442,
964,830,199,965,064,143,608,406,072,618,309,836,358,693,304,259,264,026,931,
617,890,037,969,661,436,924,388,006,279,104,794,947,358,903,818,681,240,182,
951,194,182,829,964,326,658,386,768,521,320,163,977,217,733,897,282,020,103,
545,109,453,212,675,707,859,142,421,392,407,047,187,721,220,368,106,510,985,
552,863,391,607,913,184,528,645,525,200,072,987,221,342,157,958,939,041,369,
507,977,304,271,551,807,464,455,175,427,345,535,555,760,010,916,164,289,741,
321,260,904,247,054,574,001,782,778,198,676,694,515,961,944,910,494,004,520,
275,444,974,816,222,521,398,330,149,660,837,467,772,705,826,631,646,456,304,
716,428,246,555,031,230,326,800,482,029,701,510,717,585,057,564,641,774,491,
344,458,262,513,345,491,561,220,440,218,709,808,798,625,244,279,264,014,598,
767,428,466,964,174,179,067,441,698,989,785,510,795,903,352,464,563,171,951,
714,275,106,259,866,218,404,012,128,494,853,114,648,963,290,951,725,518,860,
543,501,397,188,406,948,253,456,495,125,712,177,007,898,409,222,034,094,338,
606,874,186,143,216,345,285,691,517,213,753,769,461,292,969,549,669,720,786,
927,188,134,298,638,331,561,109,091,171,108,521,841,619,751,110,849,521,292,
873,941,075,782,988,987,422,779,381,476,716,194,451,329,125,724,876,479,550,
031,945,190,940,840,479,190,809,202,994,079,279,918,127,154,107,992,949,001,
279,776,005,120,757,631,529,664,674,721,483,699,672,753,397,132,407,276,834,
212,685,779,088,925,321,449,378,612,844,422,351,499,586,466,280,972,791,228,
492,560,889,066,025,811,885,997,577,463,685,970,372,901,000,197,898,065,018,
920,764,302,301,987,162,170,535,644,179,639,846,894,266,219,412,708,988,594,
897,649,765,391,685,759,132,222,986,670,324,474,704,809,899,848,059,306,190,
746,105,521,758,495,091,111,883,250,066,568,666,076,359,730,898,198,392,553,
444,758,635,665,746,035,490,537,271,256,696,370,094,186,777,214,224,368,329,
990,158,477,477,576,273,556,342,126,748,819,655,553,221,503,627,052,516,550,
975,485,621,410,664,669,390,454,219,753,650,337,518,238,522,083,862,302,733,
448,199,451,518,263,272,020,045,566,645,050,026,283,856,536,836,509,742,771,
588,313,916,294,478,383,860,961,877,976,826,774,119,404,790,228,907,455,392,
080,765,934,816,851,233,945,737,464,187,243,475,866,533,649,305,651,068,348,
719,730,308,989,460,539,506,715,251,860,164,897,511,534,410,726,301,692,983,
462,178,106,627,328,088,321,518,241,440,005,802,487,488,254,267,557,500,379,
935,753,373,412,295,971,548,686,281,197,507,651,753,452,899,812,242,534,063,
134,305,153,552,834,990,167,886,371,887,525,393,418,462,825,457,237,821,796,
107,283,927,830,008,470,474,065,726,723,603,386,315,128,411,686,289,616,429,
231,569,670,301,572,641,355,549,171,789,551,603,942,662,600,713,060,335,220,
795,914,117,596,979,316,140,436,816,943,585,555,236,196,516,806,878,798,346,
985,553,017,293,364,003,647,052,338,367,696,329,818,110,125,877,226,747,696,
199,662,839,795,910,160,480,462,609,992,248,721,749,779,665,917,021,030,043,
225,794,279,655,631,090,486,203,397,439,554,612,605,570,439,925,727,218,421,
131,824,139,747,666,783,507,566,162,259,486,355,865,487,490,057,695,452,546,
412,798,688,993,393,427,844,282,366,692,899,978,410,291,152,457,978,899,850,
822,681,248,309,840,634,541,775,159,972,160,294,274,451,947,990,481,006,332,
223,138,825,332,154,500,564,730,365,361,336,098,463,199,758,442,155,296,762,
118,569,995,319,602,147,168,567,294,707,529,348,548,889,227,586,642,759,555,
613,757,740,434,108,969,359,735,620,475,585,210,926,183,094,649,989,067,321,
406,172,536,004,966,934,398,158,056,251,675,111,514,469,722,973,288,792,391,
812,031,040,814,640,736,497,775,064,923,259,883,723,585,176,405,942,257,800,
502,067,047,535,468,214,835,136,316,218,242,617,551,900,220,790,762,205,120,
511,095,121,526,399,812,064,357,355,479,747,861,112,676,540,288,672,586,513,
831,482,761,515,280,537,803,106,174,160,509,844,187,429,545,500,059,336,251,
256,298,671,593,033,170,065,069,625,163,566,929,049,654,432,367,802,458,837,
850,652,603,148,354,435,819,373,510,263,636,714,917,591,022,746,582,009,973,
465,514,531,879,072,827,349,417,020,712,992,668,905,843,593,795,443,992,893,
209,876,577,869,438,570,070,673,877,765,855,596,950,912,319,510,564,063,908,
974,694,964,491,589,907,558,887,146,083,812,617,709,245,358,495,678,554,192,
610,451,630,065,389,643,332,577,648,400,970,820,769,732,725,248,389,560,627,
541,535,971,267,321,976,319,359,867,403,166,873,589,895,811,414,753,701,533,
903,899,918,705,122,544,817,414,601,415,004,461,526,482,031,150,346,724,966,
485,769,513,304,948,483,802,461,326,180,018,889,854,388,426,748,745,698,240,
138,482,972,099,374,686,696,412,406,690,733,735,146,832,855,600,430,361,629,
324,999,327,932,967,090,204,673,039,078,050,937,009,061,362,567,998,940,947,
885,086,466,895,005,843,319,262,368,227,356,507,244,311,128,275,505,638,432,
295,814,384,867,534,548,395,554,997,006,121,669,828,680,877,516,010,494,152,
682,044,025,563,259,374,230,736,568,061,315,192,536,653,536,472,133,578,646,
030,538,753,598,013,525,383,385,163,773,933,563,477,581,757,319,971,814,565,
884,450,714,764,001,420,424,381,195,317,266,692,303,484,819,986,391,619,112,
161,664,106,528,087,640,140,459,453,775,454,017,590,241,716,514,299,375,087,
194,416,303,259,169,148,143,412,641,720,393,280,175,589,151,472,647,928,468,
768,831,243,687,138,358,037,349,240,350,810,419,572,450,522,795,388,319,274,
729,237,159,206,539,519,464,513,266,849,700,981,156,248,361,924,757,788,893,
226,389,114,792,640,151,304,383,090,289,300,152,517,346,519,991,308,986,710,
877,525,600,191,615,260,281,312,991,305,095,405,007,229,269,111,733,126,184,
095,024,892,811,360,358,323,392,157,481,383,741,379,760,477,906,409,171,975,
720,894,061,649,563,366,915,080,761,152,358,217,285,817,599,269,424,375,979,
206,496,389,014,720,036,085,625,565,554,222,251,270,035,585,194,982,094,021,
596,772,248,875,602,136,591,086,456,097,682,521,275,654,487,968,659,909,608,
396,116,955,698,073,582,541,279,653,003,418,511,700,867,059,121,807,866,309,
829,321,172,028,099,974,005,201,736,368,458,433,586,437,877,209,935,838,778,
806,560,263,976,797,002,969,147,237,435,119,259,752,652,135,313,087,011,952,
473,982,914,955,938,264,860,120,155,281,477,564,121,354,827,051,519,626,908,
649,169,258,882,014,517,505,923,968,768,973,418,037,706,994,154,965,667,120,
147,040,893,736,151,029,108,596,684,404,453,200,631,354,413,498,637,521,628,
186,964,276,817,428,506,553,563,841,198,533,618,540,118,027,536,675,432,912,
657,141,077,579,340,730,955,739,846,692,645,559,832,848,771,677,955,631,338,
759,461,439,828,012,161,457,273,972,642,623,851,930,118,258,926,920,902,601,
581,037,855,995,142,304,377,661,086,582,929,729,905,698,797,967,164,377,812,
023,038,568,989,276,863,396,386,791,121,489,702,988,520,732,219,059,259,908,
791,327,564,409,382,114,538,888,420,463,419,054,434,157,311,448,729,980,325,
210,954,267,521,141,923,611,788,609,082,523,770,868,918,432,045,862,964,806,
696,656,983,233,131,226,036,276,160,535,899,742,338,172,120,037,254,452,739,
232,260,597,759,751,423,339,814,308,477,262,029,712,301,636,635,943,780,963,
990,759,961,342,427,938,763,107,982,316,573,057,434,018,424,466,166,550,994,
866,794,394,561,440,715,444,849,228,801,980,175,110,896,177,242,617,385,748,
857,314,058,642,148,735,943,361,386,209,218,913,088,145,478,590,621,229,394,
574,940,893,340,216,002,653,642,597,742,411,357,133,741,781,496,755,677,576,
597,096,732,358,236,792,126,604,813,492,161,279,438,767,723,311,629,084,611,
638,503,911,076,052,683,484,734,148,229,348,517,402,082,280,691,536,178,774,
427,429,651,818,155,502,051,582,053,520,318,966,435,877,040,022,211,857,418,
688,697,409,371,797,717,981,569,413,489,047,958,132,367,029,110,616,146,535,
515,217,080,707,484,810,926,844,091,314,637,571,370,950,971,939,177,774,062,
579,530,039,478,707,407,413,683,823,051,302,072,377,164,475,110,465,815,125,
605,483,938,717,503,308,117,080,016,936,566,874,561,673,936,067,945,895,169,
191,820,375,988,286,200,178,231,178,219,210,971,131,108,227,173,519,442,972,
296,929,607,458,413,611,624,625,242,344,978,917,037,564,881,364,756,905,920,
094,992,821,566,289,650,260,825,087,033,577,768,883,096,096,609,877,231,883,
209,751,876,878,258,910,668,038,182,039,135,112,913,906,836,228,459,671,490,
434,912,137,687,205,383,454,072,901,501,628,109,738,288,952,817,033,503,691,
615,510,805,545,400,926,190,564,505,061,518,697,752,590,729,562,798,834,682,
328,206,709,976,585,669,586,371,551,559,296,833,992,680,661,190,901,777,774,
292,113,216,450,199,207,308,354,706,897,030,477,528,633,430,609,061,118,023,
576,259,164,418,946,215,297,775,498,846,291,152,330,847,568,053,586,974,567,
124,976,261,952,225,751,065,685,143,511,494,713,780,379,676,906,673,303,710,
456,245,559,473,592,592,084,556,304,113,516,286,473,768,544,594,227,705,228,
438,212,648,922,483,999,311,307,471,489,589,757,140,347,965,459,315,179,260,
802,678,540,156,609,341,146,030,365,576,322,730,561,240,748,395,953,191,298,
386,941,095,526,864,336,306,144,681,517,402,091,033,850,241,870,337,121,143,
763,104,447,772,690,101,122,502,419,536,893,843,972,076,731,822,563,567,329,
378,309,138,087,782,797,989,854,488,735,962,237,232,738,673,553,728,112,738,
213,003,915,181,764,161,370,429,107,114,190,540,001,167,460,670,617,022,948,
158,932,826,739,398,231,279,538,274,771,446,635,425,868,688,844,182,554,429,
743,173,130,641,385,164,519,169,270,512,944,552,023,085,463,256,498,323,412,
812,004,002,007,287,799,556,207,162,893,955,208,456,329,207,484,467,316,619,
313,395,684,183,529,823,000,260,495,023,268,131,277,095,201,098,764,942,267,
184,242,613,453,695,008,070,028,753,470,485,653,254,129,916,305,123,944,928,
900,835,088,837,023,451,090,404,656,100,705,086,541,744,867,638,556,447,692,
156,769,356,060,751,930,389,443,552,110,319,428,923,424,522,051,750,508,612,
956,081,609,950,637,829,682,232,180,239,361,414,311,995,499,754,785,174,741,
384,125,325,362,045,062,780,625,139,701,177,868,458,183,225,250,200,393,325,
866,000,346,931,405,977,129,565,606,031,925,022,336,799,493,410,340,404,287,
002,478,274,744,868,156,080,807,716,458,697,141,026,756,364,362,021,779,258,
794,144,814,796,365,273,662,327,994,790,581,612,662,403,071,190,903,953,586,
118,225,086,534,241,969,663,534,629,696,783,699,433,743,869,398,148,136,816,
084,789,205,195,336,429,664,485,080,679,277,835,794,968,886,328,954,225,570,
003,538,446,965,542,803,142,284,603,378,392,772,141,894,494,208,240,011,408,
553,337,236,008,906,828,486,225,574,219,697,487,873,008,736,249,666,066,108,
719,024,043,055,947,132,678,758,963,654,275,998,563,033,726,918,742,973,100,
594,017,196,042,627,688,182,512,654,452,458,689,966,372,912,990,732,204,254,
473,113,468,661,957,667,853,924,373,439,694,527,782,695,901,990,271,272,216,
491,350,973,164,627,303,970,189,729,522,841,912,181,919,831,660,005,986,369,
272,397,273,919,023,236,089,400,510,178,663,957,816,118,979,710,742,458,779,
426,012,214,840,305,744,497,460,529,733,086,147,495,489,912,696,406,918,886,
976,036,269,137,244,405,164,558,712,299,875,006,355,028,436,692,706,427,456,
906,978,970,126,266,838,018,941,783,041,477,911,789,835,021,350,904,089,761,
665,091,680,726,288,128,696,800,018,369,673,497,329,271,436,453,426,500,007,
714,993,993,966,449,856,706,966,770,062,110,238,686,040,080,715,798,312,091,
790,527,194,934,324,958,068,130,730,990,949,546,005,045,967,203,449,368,635,
271,507,619,619,749,482,564,698,379,770,643,892,373,305,763,868,271,148,778,
310,360,730,242,189,652,537,495,900,352,404,593,618,289,703,204,958,429,335,
058,688,349,385,073,735,170,025,805,264,717,846,569,399,737,190,939,939,592,
485,096,651,862,294,385,862,405,776,482,756,698,448,437,585,993,124,333,890,
575,387,263,892,710,148,860,873,268,152,011,913,380,666,485,105,443,652,767,
998,230,006,666,709,803,506,245,471,515,486,270,543,728,425,473,023,558,571,
891,161,573,031,414,656,957,084,329,516,476,570,638,624,806,412,947,961,691,
511,718,388,646,947,658,557,971,837,854,771,880,420,778,497,459,140,494,932,
400,727,702,253,324,666,596,725,028,250,393,948,790,692,419,358,283,547,577,
194,788,763,713,029,406,568,113,315,236,308,340,841,581,522,730,931,026,232,
574,812,251,936,877,605,708,970,323,438,446,217,177,366,713,114,398,438,542,
400,454,500,913,354,188,983,148,251,699,697,601,475,845,985,125,732,592,677,
804,852,163,102,739,380,822,493,325,409,830,335,320,483,659,117,841,529,735,
690,491,557,375,475,377,798,397,505,983,098,653,973,507,748,797,618,901,680,
268,289,759,896,238,382,773,108,506,791,694,108,331,042,244,469,380,356,643,
449,283,368,709,079,381,636,345,703,006,150,950,664,455,905,604,968,847,355,
546,118,618,710,371,602,819,727,748,801,706,668,857,803,947,386,579,417,261,
247,756,300,245,930,744,912,066,383,885,581,454,435,309,093,254,530,338,144,
351,962,646,036,194,546,946,443,104,756,197,203,819,847,863,921,201,017,397,
526,482,683,370,288,126,870,658,051,005,643,647,825,386,516,902,813,386,681,
530,564,742,081,841,019,306,136,328,614,837,360,049,358,853,456,948,739,509,
884,874,241,436,210,390,166,810,061,804,832,206,950,794,080,345,761,549,193,
865,875,122,128,194,484,205,899,948,204,693,568,208,268,414,759,187,254,727,
163,476,186,607,418,907,669,526,445,639,986,648,725,571,335,648,695,983,686,
893,957,844,939,442,461,267,330,860,816,549,677,546,736,277,596,252,942,531,
674,377,437,661,795,116,643,571,068,648,970,402,183,042,600,204,130,430,568,
350,967,809,301,571,635,199,859,091,850,397,972,720,971,518,749,138,531,438,
704,608,709,859,928,064,176,701,200,107,125,929,375,519,256,328,141,019,255,
130,040,716,993,451,376,266,664,860,475,648,870,346,928,453,174,506,238,751,
442,193,202,367,068,183,733,691,083,242,475,577,520,650,807,553,864,308,741,
007,694,912,687,375,757,819,150,991,298,797,031,766,168,027,948,603,821,252,
329,611,517,514,164,298,497,189,833,647,370,699,989,200,493,142,420,856,661,
281,568,233,139,725,932,877,913,323,301,547,868,324,028,194,524,927,357,651,
300,150,719,321,361,502,317,288,115,514,342,606,944,458,931,910,075,563,350,
115,299,236,410,381,639,880,728,720,330,103,354,321,188,127,158,836,619,271,
647,138,169,479,205,892,577,239,330,205,217,791,878,625,561,909,217,208,580,
369,962,687,191,784,299,652,059,387,493,008,440,602,006,848,191,424,234,197,
298,618,026,443,018,399,812,463,957,134,118,177,717,164,588,875,427,279,496,
749,300,223,228,012,980,730,427,240,745,389,861,288,410,656,212,843,562,906,
265,669,697,510,341,972,587,833,818,920,780,598,457,416,782,408,036,015,395,
852,237,924,729,992,874,211,477,227,356,286,993,327,761,756,504,378,547,974,
800,812,926,234,538,690,825,200,763,285,164,112,393,793,686,010,515,128,425,
462,007,639,598,547,956,471,781,707,479,921,817,151,679,157,693,897,833,885,
437,805,192,641,656,787,622,180,236,646,332,424,322,424,219,155,890,131,041,
659,151,419,146,233,577,609,759,563,732,958,918,495,621,129,913,122,713,578,
710,029,312,248,500,034,057,520,329,504,668,609,149,369,722,111,770,566,405,
277,529,211,552,037,417,404,890,882,482,377,116,982,224,522,082,408,092,354,
127,405,045,003,646,375,301,535,535,308,043,822,030,767,843,881,762,967,947,
470,238,546,764,329,264,678,516,708,645,221,944,478,295,074,920,023,387,067,
990,396,811,488,600,682,872,725,312,514,758,522,802,322,624,511,636,285,670,
736,770,038,183,467,164,950,182,502,535,608,897,825,036,423,082,502,056,656,
075,316,623,632,841,859,615,016,744,461,191,686,569,204,172,665,834,885,749,
163,366,463,444,437,568,505,111,665,704,208,739,007,426,505,144,835,885,382,
935,006,779,145,181,998,284,495,495,012,349,661,082,799,310,545,171,507,466,
154,885,212,963,044,133,416,424,106,553,906,250,036,384,858,752,470,612,006,
888,226,678,327,075,548,462,064,620,075,593,361,197,838,641,987,134,409,012,
314,289,907,606,567,318,770,112,783,415,423,699,608,635,449,694,457,892,291,
724,120,708,123,476,706,351,270,095,076,533,063,132,473,150,799,098,538,675,
280,379,414,228,937,292,283,260,182,587,574,963,113,758,960,145,417,060,002,
775,281,544,573,685,911,791,366,261,679,070,487,265,308,920,059,709,685,463,
623,026,053,750,792,670,519,364,275,208,420,991,819,213,027,091,594,264,158,
980,030,266,174,801,250,357,352,251,291,948,449,904,874,003,755,497,901,224,
869,831,021,678,650,462,408,888,278,925,425,674,851,983,337,190,233,541,330,
527,442,399,603,238,248,754,978,480,600,242,935,279,348,846,219,374,261,387,
402,698,709,213,458,564,873,810,816,674,968,634,082,680,845,026,563,122,890,
356,511,038,723,107,624,080,705,418,196,646,846,437,578,204,521,033,534,967,
578,737,291,599,733,111,188,099,796,466,629,347,311,744,286,051,617,046,974,
496,046,406,015,361,715,907,946,823,179,822,904,438,234,104,131,345,554,413,
519,450,275,757,322,046,756,508,733,252,604,198,014,187,143,720,556,625,609,
834,009,227,720,086,293,609,509,977,304,106,132,324,751,564,047,176,358,094,
708,266,787,401,420,759,135,088,513,406,196,002,831,165,909,089,798,177,422,
582,124,371,755,344,827,999,522,068,652,089,192,468,758,320,360,316,437,879,
163,369,039,744,269,460,550,230,992,135,481,224,956,311,031,789,501,717,771,
840,695,080,500,658,038,434,376,700,778,466,032,384,210,276,859,045,041,205,
729,962,382,932,035,196,960,595,050,659,194,925,930,084,737,304,327,004,292,
924,762,659,247,657,384,569,860,297,070,703,738,812,538,641,861,904,683,477,
448,502,679,582,711,830,263,605,224,220,365,869,806,636,099,875,305,769,572,
689,898,239,435,923,295,655,792,229,195,163,935,695,009,090,711,706,989,938,
436,564,008,487,126,572,701,501,759,787,612,083,596,607,142,071,977,980,762,
332,588,249,342,468,996,710,339,427,253,969,801,202,433,459,367,320,731,230,
041,848,490,701,845,545,515,632,454,851,512,474,215,352,150,367,774,871,315,
275,861,380,604,109,554,332,595,703,932,449,367,006,376,662,359,322,416,519,
152,121,455,449,745,921,423,552,857,938,181,392,516,730,209,172,626,636,691,
255,636,429,365,740,967,511,956,151,402,690,108,274,356,104,749,309,794,353,
145,927,253,432,969,030,644,535,185,889,759,846,300,705,747,015,823,777,662,
972,483,068,560,758,515,390,393,231,213,891,229,208,927,912,256,617,871,432,
751,279,259,937,594,028,796,640,542,110,637,054,652,385,876,366,003,473,789,
400,803,883,597,548,643,307,282,397,970,464,513,452,056,597,520,478,224,913,
215,698,361,479,124,731,425,548,885,504,960,641,251,527,578,149,632,206,986,
595,272,921,997,378,252,214,164,924,442,309,437,592,785,808,427,684,155,423,
274,617,744,099,888,021,803,635,898,118,990,099,771,727,335,248,834,003,108,
155,986,408,407,253,752,367,377,752,173,101,321,620,624,443,593,252,104,962,
368,632,750,483,487,770,771,356,489,034,164,811,387,126,103,142,317,371,351,
353,586,023,264,445,143,960,666,138,497,738,205,480,065,817,164,871,700,166,
072,829,061,173,520,824,507,052,545,186,556,609,121,294,823,731,484,718,241,
023,172,757,231,110,861,289,105,553,727,481,588,436,377,302,910,959,940,809,
605,195,700,387,652,601,212,140,564,114,184,650,951,662,104,833,457,177,663,
402,000,610,343,617,450,264,285,734,803,717,504,720,276,834,623,408,425,746,
033,715,855,241,617,405,784,335,351,183,217,739,302,091,194,119,762,366,640,
157,721,674,578,039,666,383,102,721,302,259,931,572,339,127,661,492,970,207,
946,507,332,482,787,614,324,841,434,718,701,835,428,922,766,439,065,384,795,
024,505,236,303,017,862,720,796,436,276,019,381,011,502,022,535,327,613,897,
334,097,442,655,569,990,665,177,945,539,186,827,658,325,112,887,328,038,885,
542,298,147,192,080,369,524,902,834,047,671,890,418,705,223,116,501,104,879,
542,002,191,111,906,889,466,138,461,459,710,282,172,442,958,496,627,771,344,
920,715,927,790,066,693,034,933,926,382,931,591,575,771,878,030,860,311,521,
904,017,189,164,931,824,898,293,282,347,333,203,996,328,363,415,781,153,826,
764,011,497,779,416,468,783,144,039,580,234,963,164,796,983,880,025,141,259,
697,936,008,674,758,367,657,053,598,019,951,185,437,642,529,549,941,461,323,
766,698,423,040,289,022,812,025,712,640,294,054,608,591,287,926,288,226,451,
034,405,366,514,190,681,507,221,007,693,711,737,102,148,572,927,588,938,358,
218,499,941,500,034,825,093,885,571,987,794,090,240,235,607,389,157,432,266,
670,793,194,368,013,768,078,938,047,797,568,245,671,288,494,592,962,667,388,
760,719,049,021,417,306,478,381,724,526,515,322,032,043,236,065,472,526,755,
642,241,724,875,428,750,439,279,316,621,026,779,279,006,692,551,196,233,337,
601,993,997,947,846,158,842,563,162,125,358,498,811,456,285,349,665,830,197,
974,004,333,641,642,751,682,519,629,689,555,402,068,038,526,351,622,232,867,
797,991,728,028,949,937,390,592,511,543,172,965,101,031,449,015,197,398,727,
119,844,987,927,383,523,726,330,860,240,734,017,121,170,953,171,557,512,340,
179,129,934,039,394,491,039,932,291,581,938,306,525,562,536,643,320,233,688,
953,649,478,142,764,520,269,846,292,643,113,252,542,839,579,228,425,016,454,
282,925,996,470,511,608,423,019,795,316,159,707,123,035,989,048,940,380,305,
148,066,645,736,893,443,518,611,805,667,312,592,992,954,878,966,664,087,733,
819,763,588,192,739,313,803,988,515,746,136,748,087,377,350,790,632,199,736,
370,102,440,669,036,591,044,387,299,453,636,932,287,133,438,350,535,015,100,
181,345,940,717,942,381,319,538,707,335,750,618,792,798,551,865,283,140,923,
705,410,541,725,276,756,247,159,248,812,437,324,019,407,555,447,000,535,618,
907,479,373,333,191,045,873,716,123,683,526,159,499,967,992,208,972,327,449,
976,571,942,175,438,820,500,943,304,149,689,839,980,331,926,956,239,675,475,
796,933,209,949,128,956,661,053,467,410,210,200,484,321,518,167,436,450,014,
549,224,484,422,888,637,986,601,770,323,622,972,368,474,171,022,098,004,863,
137,254,726,037,190,700,606,435,251,213,161,002,416,692,830,552,927,725,599,
426,811,369,119,892,903,389,001,017,828,083,084,578,104,916,546,733,401,015,
012,783,023,302,198,230,694,943,050,604,239,796,705,380,656,330,831,427,014,
995,384,434,351,202,467,723,550,971,931,128,466,045,717,350,247,943,915,255,
864,019,397,873,508,860,062,501,318,831,199,618,767,450,032,701,576,750,306,
099,293,248,409,092,612,235,001,088,268,053,738,866,264,893,637,547,730,750,
764,484,119,268,944,983,951,965,396,893,860,954,158,040,657,452,864,134,019,
672,653,031,917,071,943,429,163,383,403,159,382,691,670,734,619,960,851,862,
561,549,577,958,670,230,671,448,891,827,884,090,459,642,233,436,923,568,104,
290,108,776,820,056,162,966,948,142,196,640,924,216,708,691,241,022,638,469,
978,962,882,379,666,576,563,562,975,230,839,353,373,457,263,833,950,306,491,
548,273,614,749,954,471,713,825,853,248,914,943,859,848,592,166,763,071,918,
693,799,841,852,998,298,179,532,670,047,735,156,520,263,756,597,624,739,712,
946,323,538,647,210,453,289,789,569,246,685,448,267,124,593,436,787,555,208,
175,830,453,646,208,492,864,422,460,753,270,715,371,667,357,261,076,535,860,
629,545,023,181,143,892,771,994,534,721,583,359,459,498,128,403,697,020,281,
953,994,193,574,156,692,366,333,832,627,015,077,146,057,440,017,492,573,313,
954,753,482,641,317,942,576,513,507,617,162,982,218,925,327,058,325,986,783,
506,143,095,531,245,486,024,871,720,680,822,021,036,751,522,722,024,400,940,
031,950,351,445,565,112,202,906,505,267,997,709,981,186,127,027,536,704,183,
622,231,633,467,148,182,459,947,593,202,104,446,497,823,775,820,191,914,841,
935,342,462,325,462,324,508,986,451,537,419,104,769,494,216,329,735,082,225,
788,262,530,392,107,231,025,095,977,917,995,578,584,109,124,947,334,862,779,
316,054,826,873,031,802,771,482,663,623,845,802,640,801,422,793,173,232,648,
308,394,530,007,846,501,147,298,488,911,178,576,887,235,072,931,546,127,522,
756,082,161,632,981,703,194,125,674,815,849,614,426,255,626,332,448,673,323,
125,843,993,726,152,360,554,039,782,425,925,386,023,590,296,773,507,623,947,
576,792,297,841,887,247,708,664,292,180,947,521,541,973,060,927,025,186,881,
459,159,817,481,624,860,178,325,693,242,633,992,483,217,615,602,641,725,310,
909,406,302,650,673,963,533,472,841,074,425,953,630,766,750,232,462,767,309,
378,069,506,785,467,290,124,210,434,873,318,270,066,275,449,842,172,780,016,
782,066,351,334,074,139,389,524,982,194,901,266,200,385,045,488,704,481,394,
077,069,959,536,234,684,284,696,786,625,618,573,593,735,798,590,979,254,637,
395,453,987,218,756,864,195,355,456,227,420,559,619,775,462,805,093,133,387,
996,053,008,148,585,370,045,622,299,317,957,562,054,186,170,925,726,628,324,
770,195,204,082,499,792,508,067,769,043,848,090,154,623,921,873,503,307,106,
035,846,429,107,482,019,023,144,779,126,079,362,003,399,846,489,049,169,037,
067,606,238,422,697,871,873,969,290,928,733,733,825,133,438,684,643,947,153,
054,654,998,864,968,680,462,739,961,038,878,521,164,158,596,687,876,696,586,
008,268,151,846,302,377,659,953,074,690,875,861,380,686,986,659,408,254,623,
705,756,976,653,662,739,851,341,371,864,469,565,543,612,981,831,817,127,557,
225,836,151,056,182,721,396,343,027,229,569,456,194,092,247,161,665,169,030,
582,412,988,893,907,074,620,358,925,341,899,584,240,556,692,992,962,531,539,
751,782,182,988,629,968,730,493,662,533,130,647,911,572,387,671,489,589,335,
546,167,440,087,394,390,388,850,605,977,428,338,383,033,765,339,915,164,182,
425,040,245,241,433,953,052,519,697,612,342,440,907,593,398,673,221,797,263,
819,265,294,204,139,453,954,146,674,293,027,937,084,379,734,946,047,257,515,
600,898,358,011,656,176,698,163,765,706,822,952,096,522,754,903,457,262,400,
487,183,318,678,598,141,028,367,581,236,909,815,797,917,487,344,141,946,372,
064,862,734,207,325,835,151,172,684,404,385,465,874,055,033,464,608,444,555,
251,920,705,135,879,006,692,899,905,171,175,339,568,410,341,778,002,056,454,
509,391,696,038,747,249,391,109,435,024,261,113,850,749,239,751,642,719,498,
022,344,130,656,790,469,358,625,954,001,273,174,660,027,361,668,914,898,237,
273,090,721,635,878,911,273,007,006,599,379,087,983,433,847,354,377,304,304,
779,525,564,237,228,885,976,145,821,904,494,721,452,635,177,404,948,150,904,
988,685,906,559,965,553,209,784,656,487,641,966,650,782,566,509,851,014,396,
760,704,073,629,853,376,203,619,130,457,391,094,739,484,694,439,506,519,286,
896,726,356,787,109,606,733,593,604,650,252,232,419,939,396,460,813,107,121,
162,049,923,820,964,562,883,733,267,858,628,771,190,946,378,072,180,842,254,
746,165,157,132,455,278,798,958,609,990,336,561,802,618,526,173,433,237,855,
635,055,813,958,140,455,068,974,423,091,303,205,367,389,189,541,611,489,618,
170,631,279,359,902,465,461,055,428,301,241,502,285,666,883,122,247,444,540,
643,291,140,766,369,000,510,365,275,407,474,909,371,442,496,356,924,111,898,
812,716,415,106,760,590,268,172,480,660,559,955,538,901,574,559,105,461,412,
454,206,966,205,128,683,025,952,059,709,866,928,720,744,425,330,186,436,467,
243,224,626,225,523,775,636,719,719,854,304,808,198,106,098,785,683,850,751,
396,697,025,283,288,167,669,157,538,618,500,800,320,554,344,971,060,821,767,
539,297,999,132,391,440,953,752,098,642,548,786,062,117,516,144,236,880,464,
674,161,614,339,380,822,523,857,306,914,343,494,800,255,314,638,682,374,856,
498,757,194,065,351,938,315,136,936,014,372,367,429,168,189,214,471,180,272,
559,013,235,417,807,102,624,985,882,289,239,361,869,613,572,574,624,762,012,
374,123,956,113,180,408,210,146,022,870,825,347,842,939,913,602,879,716,825,
389,365,166,933,152,433,492,411,427,810,937,924,084,157,027,673,477,521,265,
231,838,122,230,136,405,206,168,011,262,906,969,159,170,800,431,690,715,608,
343,244,460,646,370,834,939,529,100,070,838,093,536,210,163,393,354,623,401,
336,582,137,360,873,720,238,116,699,133,219,461,395,657,454,237,730,137,130,
804,000,910,080,139,543,171,566,051,388,819,972,308,096,216,942,214,803,514,
710,079,611,704,532,792,811,822,140,121,868,689,498,564,507,275,128,113,253,
367,887,020,148,643,117,752,003,325,417,435,001,321,137,035,676,238,989,137,
060,695,463,001,244,348,676,508,058,429,670,650,985,216,590,359,322,644,763,
106,931,101,506,645,998,461,090,232,069,256,244,167,092,269,321,263,649,234,
058,277,118,039,423,157,420,816,099,692,103,915,236,075,592,606,266,005,924,
369,909,714,216,830,904,134,439,496,373,020,241,667,929,424,400,289,361,919,
731,194,206,992,295,958,636,750,951,199,792,449,370,809,227,420,907,386,009,
734,611,430,086,925,772,214,390,896,583,597,039,270,530,372,819,324,877,943,
256,083,227,517,154,244,226,807,627,217,000,465,102,939,466,036,209,834,735,
210,033,559,197,144,714,183,449,362,396,199,322,181,873,291,632,912,417,673,
883,459,644,305,227,956,432,392,404,215,186,550,526,481,423,177,217,845,995,
260,357,556,048,376,240,184,926,532,251,900,401,340,072,319,944,924,192,194,
776,488,387,922,100,093,515,498,567,852,899,521,436,888,213,337,985,406,570,
555,153,857,110,466,021,400,597,368,961,574,145,443,989,272,603,128,539,292,
296,231,331,923,682,520,346,537,024,293,555,155,185,140,895,297,830,253,425,
959,438,244,590,205,971,706,692,760,259,268,900,326,149,327,260,318,563,209,
298,972,834,240,090,871,348,891,063,017,807,827,937,724,221,401,709,335,713,
873,966,807,749,055,513,920,983,694,575,053,618,161,147,058,181,164,822,098,
204,278,373,652,436,526,711,967,665,853,817,960,164,273,024,713,657,949,225,
470,276,535,739,066,461,766,802,123,079,320,577,639,534,825,689,433,976,442,
742,310,594,135,282,440,126,770,941,871,672,891,883,541,138,083,752,686,456,
624,802,480,902,151,371,029,564,882,483,191,881,979,267,959,848,730,337,375,
208,165,888,941,930,632,291,531,525,148,380,123,306,294,000,085,179,421,274,
060,446,060,592,889,377,037,935,915,906,692,207,379,840,156,065,766,450,214,
078,358,840,540,458,177,218,382,583,099,485,195,875,862,688,362,377,696,531,
468,837,978,979,442,406,738,489,449,559,682,828,614,021,161,667,379,911,500,
530,761,128,414,079,924,078,840,108,476,119,173,136,465,443,187,581,683,094,
327,302,990,932,860,368,619,531,117,894,669,906,643,445,140,197,778,425,927,
396,279,523,554,669,338,100,090,467,680,235,287,930,028,793,781,178,440,703,
645,707,568,483,947,360,589,956,719,364,188,835,944,503,907,471,516,070,387,
409,373,969,199,133,470,823,102,066,779,398,523,101,222,215,497,441,793,466,
130,159,443,299,985,636,072,548,533,463,979,662,098,003,986,291,070,159,235,
715,945,166,031,170,578,036,813,069,521,793,744,122,365,861,268,055,413,870,
963,258,098,668,235,756,803,294,465,223,925,399,541,343,766,111,104,879,969,
167,723,291,211,975,907,536,627,265,298,698,631,748,487,571,748,345,257,698,
423,334,135,355,487,103,734,839,049,213,301,964,215,538,426,213,422,149,954,
047,527,724,818,614,973,748,999,941,097,380,782,807,178,248,141,519,580,386,
409,844,848,370,942,873,202,576,314,773,022,348,258,941,799,864,176,171,790,
353,852,318,783,451,326,774,919,434,805,273,960,014,681,617,368,457,494,341,
228,399,788,470,652,010,494,089,703,047,020,604,589,730,314,153,818,258,981,
770,441,489,516,425,705,170,355,877,837,838,459,189,490,012,396,392,257,697,
940,958,341,250,962,753,597,467,212,059,069,532,637,709,277,861,549,067,173,
775,345,968,646,432,361,026,992,335,708,500,962,903,232,634,659,840,095,902,
630,322,570,356,972,690,675,538,574,798,477,626,707,400,628,359,920,669,943,
831,436,732,298,437,769,305,545,670,577,817,478,276,331,736,523,537,435,578,
138,212,324,710,714,137,872,530,198,163,833,238,790,860,954,987,401,293,962,
465,590,580,016,931,186,080,083,327,973,860,759,448,187,642,136,510,554,486,
073,292,958,748,742,491,198,454,282,758,640,112,013,925,601,745,275,406,382,
713,886,221,368,069,127,357,768,013,804,529,840,765,021,265,134,157,659,705,
848,358,674,168,586,526,810,169,141,534,520,772,823,212,987,314,173,794,199,
827,767,191,485,925,944,683,133,136,079,433,356,573,844,789,091,469,658,024,
517,663,824,448,566,340,180,912,760,851,532,577,825,055,928,482,211,396,383,
892,197,618,419,860,751,102,695,338,693,771,378,311,193,397,311,326,321,854,
722,007,845,739,612,430,562,277,063,296,472,043,886,074,284,057,957,793,696,
313,295,793,613,265,683,547,346,336,260,067,384,813,004,669,045,914,555,823,
718,074,370,428,113,767,721,926,020,009,623,977,247,435,282,415,739,096,599,
069,912,164,839,085,713,202,796,440,677,872,071,703,486,564,398,665,435,324,
900,189,873,088,341,844,875,203,198,913,178,379,580,569,668,676,920,183,207,
024,802,961,088,615,510,871,003,905,234,952,650,810,366,381,294,061,121,777,
661,649,736,822,222,516,755,793,022,003,297,258,740,119,709,971,985,899,194,
916,173,334,607,533,637,025,979,959,576,951,642,340,546,119,498,367,358,579,
975,924,290,068,438,775,329,811,181,078,403,775,873,233,936,153,315,747,762,
343,404,498,346,657,664,482,649,950,406,423,741,802,838,093,296,815,832,666,
636,463,766,345,934,057,658,270,651,268,318,980,326,107,482,119,987,276,651,
885,791,087,848,906,499,208,511,246,616,814,815,495,218,086,897,270,372,342,
721,908,701,818,234,681,732,036,543,532,261,642,321,651,332,084,593,912,605,
981,402,851,526,434,011,293,363,173,696,582,777,667,317,313,235,229,825,065,
852,365,509,962,956,566,565,157,286,181,449,419,302,743,155,648,703,374,467,
854,301,711,396,746,467,488,315,768,421,130,476,652,830,284,008,521,903,269,
271,451,504,610,091,505,257,675,213,257,441,163,765,506,745,758,621,072,230,
409,096,467,002,832,584,732,135,931,111,196,188,727,270,407,665,288,226,173,
114,337,741,592,660,747,765,448,682,345,690,928,001,924,974,298,288,583,825,
211,410,287,032,340,428,729,945,322,142,791,799,237,570,596,252,578,178,578,
652,637,089,629,334,001,896,888,993,681,399,750,329,535,915,861,577,593,701,
684,894,802,444,522,134,670,310,932,947,225,889,938,807,364,634,830,768,848,
246,118,100,220,702,679,215,715,609,900,649,076,877,421,472,834,853,528,972,
060,391,992,352,271,645,384,429,231,637,226,379,139,395,110,824,085,375,472,
934,627,090,710,048,467,906,228,695,306,582,043,706,619,946,487,257,406,208,
735,806,076,121,423,585,548,851,955,283,413,901,742,422,101,505,785,814,208,
260,804,202,156,998,725,551,406,171,317,718,039,539,427,265,953,686,646,323,
868,098,693,950,329,542,321,370,038,756,972,354,987,854,869,882,515,290,779,
787,323,488,956,080,931,197,244,490,876,154,995,946,669,082,029,558,988,431,
505,692,070,992,976,978,457,245,389,539,921,003,784,716,436,472,400,301,275,
337,224,566,898,392,308,959,479,924,618,307,710,205,868,720,885,716,013,555,
852,944,667,626,838,646,090,996,497,701,845,558,920,290,208,103,171,040,902,
610,428,675,554,257,542,909,023,655,167,769,152,206,234,626,009,395,296,379,
462,149,147,894,440,075,343,174,211,945,491,490,797,085,108,530,056,912,403,
113,603,630,830,718,448,121,597,549,803,239,406,186,338,453,223,832,684,421,
921,129,795,712,970,950,867,911,515,879,245,491,434,463,675,793,874,391,285,
178,576,443,962,482,793,148,289,215,467,980,674,309,123,968,425,529,605,086,
385,104,022,841,974,252,002,432,166,086,474,901,866,056,337,219,453,829,659,
753,964,379,127,808,879,912,972,049,966,337,892,377,958,573,970,080,984,389,
331,090,870,497,399,890,575,509,661,464,967,147,340,446,051,826,223,174,779,
374,467,929,028,303,650,698,027,423,995,089,645,368,303,517,853,783,355,610,
308,182,401,991,742,979,525,064,536,323,798,972,650,046,780,961,375,658,111,
493,013,795,150,837,477,480,439,628,197,706,382,799,034,617,420,237,729,556,
181,336,314,496,666,181,703,736,907,812,201,755,247,296,473,341,539,761,619,
852,265,324,500,532,400,724,785,496,620,821,298,777,236,663,201,534,277,636,
933,916,659,867,182,764,315,082,805,957,196,593,078,032,022,919,629,991,945,
724,472,125,974,879,110,898,879,355,632,781,532,968,304,114,952,522,287,665,
825,271,792,558,600,158,219,284,801,735,008,386,684,579,724,269,944,811,814,
185,553,544,909,871,941,279,560,875,415,791,451,112,200,741,206,343,549,154,
625,545,662,562,962,012,791,089,972,957,379,788,772,612,088,190,787,591,914,
081,118,422,073,435,548,453,773,891,431,074,836,733,791,381,509,563,290,302,
476,877,535,063,578,579,958,159,463,070,906,663,525,714,504,992,737,203,332,
483,694,542,532,133,922,643,496,013,935,424,325,232,736,236,448,767,609,597,
697,615,091,959,081,152,769,822,068,519,825,292,368,404,220,209,289,760,677,
600,069,474,036,226,558,540,005,275,219,735,553,213,151,064,494,799,182,257,
959,281,781,742,687,106,492,851,829,460,344,969,752,653,675,594,919,053,676,
084,335,990,337,896,127,497,249,116,887,648,627,893,963,393,322,540,745,714,
301,273,549,477,005,127,538,771,873,654,583,552,488,074,272,668,987,537,081,
534,112,365,941,741,378,008,543,938,342,327,553,877,093,816,760,201,481,560,
705,013,584,806,113,997,056,119,361,938,557,848,938,107,913,338,043,795,360,
202,138,943,374,373,470,157,006,836,511,019,056,399,351,427,848,349,408,306,
214,065,894,552,830,959,798,636,517,266,654,603,717,026,073,034,706,504,113,
391,790,764,158,396,502,719,957,047,034,608,489,147,731,505,850,735,372,743,
497,218,220,600,801,643,340,911,224,839,011,100,609,030,077,333,976,081,299,
351,344,418,630,243,521,714,168,214,544,884,794,266,525,903,162,032,442,305,
291,793,837,819,432,985,268,815,261,209,371,341,774,068,593,813,052,710,921,
775,486,367,659,308,833,571,306,410,835,264,501,000,394,953,705,121,455,111,
168,468,291,884,516,242,131,765,689,194,970,907,673,579,044,074,684,306,234,
281,697,969,509,921,381,835,973,918,907,231,719,174,131,178,242,056,284,395,
754,941,626,351,897,324,837,865,674,706,073,046,835,571,328,370,362,748,372,
550,416,411,341,700,335,446,551,272,818,824,728,628,427,903,007,518,632,446,
050,370,342,535,676,200,666,634,545,473,697,829,067,492,854,353,740,480,087,
101,604,950,513,429,955,119,787,060,432,726,723,240,736,778,331,807,907,488,
153,658,643,166,791,584,746,160,395,059,415,241,730,103,210,432,744,369,009,
586,932,131,378,161,049,369,070,972,212,122,267,269,419,185,704,124,124,861,
401,038,174,577,677,497,065,727,046,391,039,060,960,249,087,829,741,125,547,
801,592,910,824,863,991,893,417,415,426,617,869,072,280,219,613,134,342,045,
197,744,780,663,791,454,999,705,021,472,396,244,017,849,016,677,158,348,880,
018,449,922,030,356,123,554,414,968,221,178,828,699,203,788,013,452,761,266,
365,227,030,111,348,722,486,881,989,004,831,407,043,822,867,210,333,705,884,
669,606,814,191,172,277,853,863,809,063,575,737,168,745,371,184,106,410,707,
340,454,727,469,705,149,415,215,424,612,510,673,078,653,930,688,873,532,774,
782,234,231,537,432,697,464,892,353,924,033,891,857,439,440,569,960,719,193,
862,181,014,378,255,123,395,908,690,461,833,810,821,862,615,583,067,561,146,
651,670,135,289,141,066,995,824,659,760,014,205,756,206,884,439,607,509,682,
271,329,194,196,490,438,687,548,302,786,303,713,218,367,214,207,408,129,261,
664,224,619,126,693,867,635,089,636,203,038,660,373,658,372,314,620,302,497,
658,282,402,127,380,864,455,009,568,761,166,390,159,655,643,153,432,614,119,
503,401,901,671,002,258,248,537,345,909,925,800,057,651,154,789,086,881,661,
828,424,410,006,842,495,340,163,665,547,498,147,916,313,633,835,021,328,329,
828,914,116,451,269,561,654,562,117,426,577,414,327,280,380,970,240,212,543,
983,419,487,041,743,054,394,883,327,405,065,701,325,546,938,490,472,912,268,
434,101,480,106,000,483,337,554,736,474,963,141,902,899,160,955,977,721,751,
925,063,054,982,625,539,628,425,205,263,080,828,301,238,705,399,977,260,624,
755,356,366,677,349,205,408,357,300,745,719,215,269,158,822,050,437,235,661,
671,338,427,704,830,372,591,527,960,141,499,379,050,632,014,099,799,542,921,
696,131,906,931,768,336,124,751,788,374,275,425,191,756,794,084,286,758,738,
659,522,023,906,364,245,747,022,327,842,762,539,748,918,274,365,985,569,230,
902,671,718,222,770,046,254,315,473,422,993,880,714,314,198,636,013,647,214,
487,916,121,603,358,834,502,844,442,058,566,535,972,733,816,048,424,806,546,
282,143,809,113,929,485,023,232,641,444,799,675,792,556,436,151,765,991,006,
524,291,340,075,364,230,970,643,053,736,554,491,948,458,962,916,734,676,947,
836,773,968,313,317,709,012,170,410,010,572,753,079,926,661,121,986,806,238,
638,862,903,947,335,129,501,627,626,868,886,328,978,393,798,149,083,435,000,
765,358,036,760,854,137,725,930,466,742,128,671,832,394,167,171,094,918,856,
041,315,513,240,415,173,117,565,937,412,025,875,127,806,238,641,388,767,227,
277,709,988,919,511,694,117,988,361,796,219,214,157,642,067,679,297,875,178,
812,465,441,643,190,625,907,684,586,221,867,362,149,506,923,134,282,226,835,
438,995,477,673,536,925,854,950,348,646,716,066,382,120,629,687,457,443,268,
084,362,639,197,074,964,870,858,864,722,963,051,952,338,973,659,029,607,513,
147,458,621,007,527,574,226,649,018,305,762,474,088,253,547,394,699,174,632,
161,462,743,879,567,539,537,580,256,362,739,847,345,638,993,740,756,040,019,
317,415,579,960,712,593,052,326,318,065,885,921,293,931,911,647,601,564,559,
034,542,982,339,473,468,354,155,167,786,884,422,239,913,164,927,876,952,146,
518,660,440,476,613,353,560,051,215,914,364,728,955,909,570,187,835,668,994,
356,881,954,104,459,609,627,678,091,851,357,254,588,118,346,526,283,439,144,
871,685,917,752,670,882,640,051,269,265,788,713,358,981,597,538,822,053,080,
027,594,516,548,578,439,950,580,278,957,869,444,738,245,191,069,712,513,712,
435,028,283,563,992,917,133,501,579,905,194,803,517,684,975,268,838,688,505,
756,152,969,302,122,243,265,329,754,067,111,522,252,704,098,135,464,560,874,
999,429,383,108,735,664,572,630,557,490,062,369,275,065,559,681,132,100,480,
630,226,652,487,385,480,953,785,718,991,729,931,675,922,299,852,421,278,888,
024,702,350,129,803,946,067,862,935,803,750,702,287,609,075,114,985,339,967,
816,694,308,033,051,319,207,173,041,247,306,920,937,925,651,898,732,787,321,
556,557,943,453,368,131,090,321,908,208,778,518,437,122,373,727,104,332,993,
980,359,026,761,053,957,654,357,179,917,293,442,015,177,565,733,696,912,166,
821,626,279,890,032,032,965,339,263,940,501,466,805,090,341,608,114,974,694,
148,902,993,925,528,593,748,557,830,805,148,953,131,870,111,303,385,255,260,
328,223,502,478,890,210,458,219,890,584,949,406,981,384,642,584,451,816,625,
045,628,314,089,108,873,676,523,332,494,097,514,205,334,698,121,974,267,089,
971,447,788,341,931,657,201,934,919,490,426,996,578,186,839,593,923,681,826,
250,432,428,911,311,200,204,499,816,975,100,327,742,926,622,818,209,200,228,
554,087,018,227,415,672,787,519,295,445,305,125,979,552,354,882,991,103,971,
079,994,361,828,436,295,568,298,278,684,974,649,164,590,309,203,280,189,253,
124,140,255,586,520,626,624,116,265,063,675,557,321,929,861,188,088,493,621,
869,011,801,338,417,556,313,841,516,083,953,104,215,853,177,464,816,952,116,
319,045,893,585,246,485,725,803,498,541,011,071,447,653,249,034,565,883,944,
129,320,003,147,258,012,647,341,705,093,372,367,706,216,698,350,875,875,397,
957,465,434,780,674,945,160,808,306,694,542,405,884,753,516,644,578,142,084,
437,279,987,117,262,317,734,741,862,837,215,805,122,937,073,782,220,329,576,
100,471,339,442,802,357,396,143,276,819,128,106,240,069,445,901,484,820,422,
786,863,849,263,236,851,590,193,520,834,261,238,573,325,604,551,077,436,181,
660,062,501,974,335,690,805,283,486,230,801,145,948,978,801,898,834,918,575,
214,959,354,895,282,143,542,291,834,042,055,159,124,608,285,921,025,078,150,
131,415,255,912,700,084,456,337,045,700,111,151,872,638,024,642,168,991,413,
872,368,149,110,759,480,095,042,457,327,014,601,811,763,161,458,558,806,812,
953,973,671,247,844,725,431,641,974,067,699,575,345,815,369,774,475,909,313,
415,526,777,982,425,824,226,637,617,437,101,839,276,488,853,936,873,163,638,
410,580,566,390,540,091,474,258,019,233,498,380,855,657,374,934,378,870,089,
911,404,549,640,883,910,424,733,016,295,097,234,452,869,712,671,511,638,665,
424,057,299,340,609,948,143,824,129,899,836,805,939,103,172,209,057,838,358,
602,329,635,351,637,685,733,945,860,628,184,338,000,622,941,877,169,362,990,
445,006,839,447,568,130,184,737,530,166,131,853,918,740,928,143,109,197,245,
469,871,987,198,949,780,144,900,740,502,129,640,549,837,626,812,645,636,525,
350,748,252,997,642,130,998,400,039,221,502,874,712,918,801,342,317,537,559,
294,565,424,371,766,785,547,622,437,439,893,558,393,202,352,460,582,978,337,
012,298,152,436,572,435,739,235,072,241,269,932,367,032,429,734,170,724,828,
913,886,066,778,467,952,466,736,607,295,104,418,851,747,306,929,808,012,827,
279,119,988,264,374,281,540,874,602,270,739,354,333,245,796,654,289,280,012,
944,901,943,950,127,898,384,930,495,120,062,249,269,096,284,679,089,712,177,
274,917,144,658,307,114,150,799,235,558,417,465,161,276,051,937,875,487,480,
303,441,251,212,831,239,473,236,567,809,732,709,428,040,688,425,973,357,901,
141,820,704,019,860,761,681,253,133,593,307,749,108,976,867,864,797,110,606,
212,013,782,842,959,452,025,458,091,128,112,427,519,369,915,041,751,899,987,
957,296,798,744,290,734,071,915,017,599,771,783,078,555,873,956,412,584,941,
759,831,841,640,328,243,266,559,336,814,968,161,300,466,624,157,261,233,878,
548,970,700,931,219,620,069,272,722,545,009,543,730,399,564,215,954,288,992,
054,668,407,326,946,700,131,175,657,047,693,410,447,026,060,477,544,983,750,
766,169,966,706,456,382,664,451,491,113,562,545,150,329,064,412,546,623,612,
689,741,004,053,153,268,489,859,963,728,177,839,779,949,103,305,702,524,429,
755,915,743,429,251,783,664,094,630,478,942,749,725,145,279,535,709,191,071,
539,516,057,255,102,619,989,651,225,709,391,776,364,331,221,822,894,681,295,
990,725,742,708,720,286,943,055,679,418,836,117,138,770,941,981,879,977,016,
377,318,859,906,371,109,723,137,888,608,446,385,468,844,822,146,885,832,319,
050,433,616,349,269,892,544,962,250,069,934,942,954,262,372,688,614,221,053,
901,491,032,104,684,344,003,043,912,436,126,170,297,006,818,949,363,983,559,
905,281,921,097,320,427,477,436,569,199,009,414,330,644,007,343,276,419,821,
946,318,540,827,949,755,813,889,710,932,177,236,611,739,722,301,090,396,161,
964,546,249,380,088,823,592,893,163,587,984,759,067,014,214,670,994,514,958,
378,768,823,837,472,851,624,217,457,978,629,806,269,361,273,692,879,987,529,
285,171,711,579,055,793,489,586,008,778,905,160,688,107,704,405,053,642,378,
997,047,590,117,403,552,549,321,349,296,816,357,642,839,587,590,545,123,546,
283,046,092,693,474,496,600,682,035,598,821,238,077,254,799,511,582,307,588,
745,046,420,149,573,908,733,702,565,697,741,335,199,015,038,653,710,573,050,
363,732,517,313,513,704,601,485,317,429,287,611,070,102,640,516,245,019,395,
864,361,090,892,922,305,942,140,495,589,512,984,626,597,177,926,810,229,395,
165,315,132,627,743,894,032,224,098,651,616,610,200,903,005,730,929,028,898,
035,398,190,659,179,428,780,039,067,508,765,336,393,696,245,934,169,981,276,
127,471,936,479,168,803,710,310,707,373,374,124,721,004,742,364,191,848,462,
459,975,362,794,112,277,530,452,937,850,164,047,819,684,783,132,174,573,553,
211,857,530,621,499,894,005,147,924,803,575,246,597,651,675,606,668,139,996,
823,768,069,764,345,056,640,484,377,474,707,375,124,850,668,591,415,181,566,
808,655,400,926,897,663,294,865,882,120,988,695,305,446,644,639,660,166,686,
008,478,762,667,544,296,472,594,500,036,136,538,559,854,542,966,367,719,789,
773,445,322,864,643,796,050,990,742,818,579,843,281,942,372,304,452,904,243,
099,074,330,034,954,519,524,570,391,176,223,718,586,622,909,530,031,337,667,
198,217,030,414,116,161,918,307,110,665,267,047,730,250,964,494,572,274,912,
433,361,456,955,932,992,088,757,761,078,964,262,938,360,821,424,840,599,886,
450,319,308,640,944,555,394,000,394,261,036,961,732,134,324,642,180,987,809,
834,379,095,857,990,693,033,570,410,036,901,111,934,814,459,231,569,240,614,
047,066,354,121,673,526,471,421,311,291,399,287,868,178,144,345,360,853,929,
935,471,585,782,359,202,090,428,110,450,598,883,697,337,867,158,572,377,031,
138,666,376,452,941,357,581,756,530,646,941,273,542,316,517,616,343,598,355,
269,851,746,712,933,067,048,351,597,476,621,534,351,560,806,635,618,251,314,
422,163,771,284,270,768,578,908,181,755,686,405,669,556,803,806,754,351,960,
612,868,547,774,119,044,611,355,751,909,557,252,918,316,421,501,659,729,183,
997,982,795,315,527,682,293,853,717,790,431,114,224,501,913,499,825,546,866,
895,244,031,336,752,869,810,537,813,652,235,252,593,149,549,449,873,306,130,
032,435,517,020,845,554,516,751,464,400,843,228,246,543,057,561,304,497,365,
687,878,532,190,068,115,075,864,011,753,681,995,777,884,016,360,762,992,901,
446,662,853,151,016,528,443,653,099,527,400,408,092,778,214,330,422,187,594,
995,541,670,524,115,974,008,176,754,949,710,597,740,810,335,439,171,074,844,
747,265,660,841,608,249,599,517,812,565,516,430,445,916,433,497,950,417,085,
297,487,840,529,942,549,505,894,113,216,622,623,191,348,050,117,834,103,986,
624,348,703,872,492,047,493,704,092,025,665,829,651,941,334,523,670,101,679,
818,598,184,843,736,439,657,203,617,194,995,258,077,239,385,162,497,636,095,
869,747,084,231,200,601,727,506,358,042,845,295,208,929,940,574,831,288,383,
588,260,868,929,101,419,376,132,501,155,228,251,358,777,788,081,556,462,717,
410,056,939,020,608,666,359,142,648,713,123,202,466,877,416,295,438,327,269,
588,106,627,958,801,489,240,660,654,825,157,553,917,779,468,583,326,766,905,
798,801,412,325,894,364,702,357,841,814,669,066,753,404,486,827,424,227,095,
716,687,557,525,909,416,500,508,293,172,730,463,391,568,191,464,499,180,731,
220,042,918,329,103,926,116,737,580,176,400,812,930,101,904,611,422,910,947,
345,164,989,943,741,428,826,091,857,801,930,325,901,245,642,053,591,311,434,
355,861,083,237,220,538,006,748,189,565,964,298,754,301,221,847,902,767,126,
245,044,553,922,575,969,026,897,678,469,227,163,678,889,304,139,347,260,978,
149,411,934,349,608,522,046,223,892,228,828,563,220,247,332,137,016,254,428,
986,331,255,844,907,351,790,190,490,014,971,878,692,777,038,762,184,111,032,
288,134,293,856,389,791,958,641,622,512,952,626,679,867,685,191,776,948,021,
620,569,399,107,806,344,442,274,393,590,682,573,871,351,781,420,028,267,031,
069,992,803,633,742,852,530,280,100,161,792,143,512,079,608,528,450,931,963,
231,924,553,258,698,987,740,033,756,508,012,090,984,130,319,238,495,011,291,
911,379,871,495,688,844,048,476,873,892,411,570,630,364,061,259,793,957,435,
777,303,444,775,676,212,117,667,337,030,142,803,481,620,704,667,621,835,639,
867,434,094,381,185,747,474,090,108,917,490,381,422,591,750,267,892,586,787,
608,595,193,833,728,011,478,499,669,823,632,281,208,209,668,745,594,984,984,
082,125,771,654,191,884,695,754,406,113,365,386,521,768,161,969,991,257,429,
635,586,401,486,640,785,542,682,157,445,158,737,256,253,361,623,429,912,455,
640,721,971,089,265,007,495,766,965,419,957,438,509,368,481,095,272,793,578,
608,014,638,033,334,144,533,179,661,993,092,859,650,659,026,297,748,839,305,
114,325,044,870,098,722,555,329,539,527,536,355,007,183,436,335,279,152,346,
934,782,551,945,105,317,220,197,928,991,681,490,404,876,706,029,985,875,940,
264,540,972,441,681,525,023,409,041,242,234,320,834,008,489,700,129,428,115,
021,091,315,536,356,600,012,456,815,539,484,913,003,701,684,543,106,230,112,
658,085,862,002,776,422,940,120,964,122,407,185,824,504,807,647,941,538,980,
292,663,198,840,098,613,295,774,201,215,788,870,381,574,201,803,551,600,272,
845,678,056,335,623,711,643,547,099,877,800,138,070,461,123,772,892,705,459,
340,245,536,240,553,804,326,721,443,553,130,363,926,419,074,628,231,688,692,
400,450,051,518,156,972,403,324,652,083,712,051,952,111,003,294,608,902,750,
477,137,847,338,160,958,457,799,632,169,511,589,378,066,850,521,908,990,313,
434,293,316,150,195,903,449,864,014,499,757,227,677,522,859,434,078,300,049,
954,171,614,078,813,051,295,036,235,534,102,158,504,225,153,103,483,239,740,
004,888,628,922,867,625,783,879,813,329,276,207,830,041,063,862,635,475,198,
340,848,452,234,657,064,088,799,045,265,457,563,502,333,706,384,918,941,191,
771,411,189,383,885,573,401,151,717,330,851,771,392,028,854,793,886,668,353,
530,921,087,957,447,178,379,353,612,658,665,405,489,547,609,493,587,636,734,
430,760,395,945,529,249,621,757,386,863,004,257,702,303,591,102,892,150,138,
548,880,761,276,688,523,688,256,386,932,623,151,290,965,275,062,835,167,357,
160,889,386,678,521,216,466,115,619,183,513,973,112,221,115,059,515,711,516,
088,371,302,246,897,228,506,867,478,976,710,157,880,017,224,351,647,391,948,
231,813,569,374,171,653,245,078,929,981,860,920,897,510,559,122,701,730,305,
289,686,488,440,316,079,200,160,903,131,424,495,596,600,039,771,205,996,332,
760,123,998,499,487,301,472,221,151,370,292,558,763,764,459,430,434,307,844,
863,173,018,209,247,081,348,634,905,426,110,542,136,253,660,909,742,943,906,
308,008,455,323,328,076,869,110,048,988,071,997,076,630,803,511,264,702,788,
661,860,969,827,347,101,634,827,913,782,894,655,487,918,438,742,452,915,216,
030,071,241,528,308,138,272,832,391,880,599,792,942,042,254,195,313,661,291,
389,844,728,504,519,877,963,898,155,695,618,539,275,373,688,566,404,929,053,
380,799,839,649,532,769,802,528,097,462,721,984,736,908,692,899,774,039,963,
211,030,914,161,616,100,735,462,177,943,304,006,295,090,146,495,313,259,171,
603,458,142,575,262,121,707,667,649,754,553,422,074,606,473,218,467,485,249,
337,870,240,006,285,074,554,550,576,398,614,335,742,266,419,317,305,489,578,
222,573,421,137,826,968,705,075,989,287,243,225,499,065,555,311,296,680,158,
180,940,241,762,631,689,149,914,971,003,388,018,368,034,100,148,383,718,824,
039,790,424,488,255,780,515,853,448,166,092,400,868,177,801,008,722,314,198,
742,338,200,085,455,213,087,474,339,102,046,585,409,636,698,171,602,082,303,
785,685,746,366,341,524,150,021,675,754,761,423,304,935,579,567,625,018,003,
517,657,787,665,147,049,908,031,184,530,059,293,402,157,582,566,583,110,988,
757,742,671,894,947,688,531,462,423,503,839,421,211,378,835,976,976,542,066,
557,627,869,281,594,431,239,594,472,465,003,876,296,327,695,656,728,961,621,
207,733,240,511,588,979,593,224,849,271,445,531,020,551,092,982,923,372,292,
645,112,630,333,970,818,493,403,080,164,262,211,160,854,376,921,055,635,980,
305,124,942,290,603,740,816,523,054,747,234,768,452,818,843,963,260,899,905,
603,375,855,534,626,926,481,083,233,269,090,499,904,952,615,614,128,234,254,
961,338,780,580,463,479,631,966,187,036,744,881,068,796,594,777,603,293,027,
669,663,201,369,682,432,764,454,082,388,817,959,057,338,326,034,966,842,478,
096,746,887,480,679,908,445,242,997,203,729,964,770,381,669,739,054,811,636,
666,099,190,030,622,976,711,037,026,365,894,030,817,871,147,731,960,491,979,
942,062,383,559,950,302,956,564,092,347,083,446,942,161,222,873,379,260,650,
629,632,767,402,102,702,391,874,489,057,101,771,813,365,595,346,718,642,985,
470,936,648,519,129,439,135,566,660,061,287,363,423,767,395,643,363,730,549,
302,826,926,799,477,760,220,126,986,759,575,437,487,070,454,217,496,164,923,
009,860,861,050,360,836,016,158,351,324,974,947,117,721,554,541,130,069,729,
065,131,554,032,127,467,319,710,752,663,680,355,683,854,338,683,654,322,428,
747,482,782,971,109,663,199,299,486,730,399,193,926,381,841,898,357,790,871,
849,249,628,362,476,075,842,437,560,807,297,262,438,079,729,702,249,050,759,
619,365,265,831,672,807,123,796,247,907,206,466,209,971,741,228,094,885,447,
155,423,048,728,245,514,299,337,975,884,445,621,331,705,414,511,148,819,914,
763,640,293,374,649,647,885,935,621,381,336,946,317,310,157,845,303,462,446,
344,772,799,439,247,388,929,107,457,451,127,974,476,843,586,032,772,853,319,
981,164,701,589,357,291,776,038,530,063,979,436,432,688,078,885,707,989,638,
004,503,610,870,382,473,859,782,126,298,441,844,935,163,695,758,294,491,972,
842,688,318,522,860,109,108,442,726,365,705,633,456,939,201,799,276,498,318,
481,604,442,465,105,717,320,334,724,933,843,617,331,301,118,535,114,182,813,
993,135,678,393,785,999,133,246,026,268,244,915,228,150,658,580,534,194,632,
667,170,221,067,171,678,067,710,055,450,286,040,316,960,371,785,792,636,645,
663,134,006,447,774,264,162,951,237,360,815,917,441,930,584,762,427,111,910,
800,319,282,999,866,695,206,353,437,270,204,151,203,422,182,056,270,837,510,
192,262,124,760,225,108,892,197,205,336,336,908,073,137,725,203,305,540,479,
980,183,374,130,333,180,625,531,278,265,632,752,864,210,828,814,420,982,098,
284,389,213,824,428,867,582,839,918,322,347,555,409,996,230,341,864,211,026,
625,925,187,631,599,004,955,182,659,418,285,149,058,116,381,669,505,993,571,
161,907,747,905,239,908,672,352,786,712,507,408,965,331,452,966,372,696,146,
988,563,603,164,398,078,364,394,526,334,798,672,999,362,719,465,026,411,097,
523,486,372,457,971,503,826,752,150,033,252,182,147,136,742,103,723,377,020,
584,432,121,909,042,694,319,209,171,281,810,471,476,362,406,442,019,216,999,
450,259,689,697,856,036,116,525,437,304,466,357,081,572,100,297,081,202,090,
262,631,887,688,623,239,309,795,706,583,394,083,979,385,182,876,061,668,392,
838,684,201,091,041,320,987,370,423,728,303,847,947,897,631,682,364,282,537,
773,668,096,483,903,330,111,442,073,986,274,283,068,291,343,544,855,756,668,
294,631,224,954,752,526,362,864,826,422,840,650,400,006,528,353,338,676,217,
114,838,666,772,821,122,902,609,801,956,458,278,901,977,396,966,561,757,652,
763,894,582,452,432,453,583,586,416,905,738,986,767,148,994,537,543,006,625,
436,536,184,014,802,657,080,455,093,992,049,062,780,689,762,611,631,443,764,
640,460,411,937,679,064,167,871,098,651,094,141,416,767,749,958,327,879,033,
753,600,255,913,495,119,841,252,614,702,833,778,431,965,131,066,701,048,389,
072,849,098,370,053,438,204,920,859,104,404,341,160,113,462,433,572,751,579,
678,299,777,676,321,541,025,820,484,771,408,492,715,585,847,583,785,856,507,
070,730,530,087,590,190,991,468,579,079,480,724,233,796,043,701,644,663,643,
002,639,138,404,128,576,939,543,430,819,924,568,228,187,704,858,541,138,288,
230,919,071,671,892,727,694,861,013,620,572,356,195,645,275,204,166,529,388,
858,934,928,342,437,659,797,211,950,452,000,126,453,277,827,518,763,399,260,
863,754,506,695,909,283,401,804,316,004,308,098,116,831,966,159,862,133,925,
419,051,335,512,420,758,517,035,421,613,690,930,248,659,807,484,876,524,843,
321,896,613,191,681,659,638,307,760,080,505,008,299,816,580,573,181,581,827,
960,129,200,148,724,913,013,276,577,674,529,390,161,207,421,962,299,769,569,
047,569,432,891,884,813,952,744,360,283,373,351,334,703,178,524,370,648,841,
330,589,192,309,514,612,587,818,195,908,878,864,850,893,538,385,817,148,336,
426,838,800,862,099,860,057,890,811,647,404,938,257,134,117,265,041,361,720,
354,427,135,611,567,447,245,215,072,538,473,233,646,674,197,456,851,393,273,
692,756,521,952,519,866,817,110,026,563,398,321,135,748,658,349,102,724,381,
510,694,206,073,416,703,635,384,468,546,250,393,801,192,793,967,338,600,235,
242,275,758,790,741,172,252,546,100,284,278,024,344,164,439,481,967,124,276,
467,377,293,071,602,630,222,847,695,347,019,965,835,939,537,510,906,541,328,
089,550,502,153,964,563,407,695,880,858,280,398,109,499,950,045,241,068,915,
687,385,430,638,182,909,566,126,227,328,116,286,951,651,771,834,835,537,663,
151,903,695,975,026,894,206,769,696,598,137,917,111,165,617,543,490,785,029,
784,418,810,121,014,065,750,459,461,366,114,457,518,346,008,339,891,493,645,
001,032,894,467,886,354,850,000,209,968,229,494,565,412,602,959,888,186,324,
249,006,557,997,114,349,630,194,896,493,036,999,065,460,035,427,559,552,141,
478,255,736,368,162,357,820,490,133,284,893,968,734,314,295,232,602,817,715,
740,214,051,197,855,886,874,729,180,705,247,029,920,790,938,341,879,202,762,
445,550,403,031,103,526,767,340,361,057,378,114,276,300,047,738,983,267,502,
945,862,475,159,499,823,292,583,271,152,442,010,544,571,995,213,436,728,753,
204,432,048,846,321,501,910,214,158,442,652,122,184,994,996,108,615,258,537,
899,659,801,368,443,078,160,862,588,897,649,736,962,161,111,034,064,755,041,
443,838,757,907,367,919,173,679,696,268,294,562,605,099,252,103,650,656,764,
840,053,069,148,488,084,666,276,965,045,241,851,335,216,327,203,990,965,512,
955,330,610,896,547,685,405,704,290,797,627,353,842,891,460,913,210,316,783,
640,367,617,794,712,173,833,265,900,628,962,201,561,248,557,851,364,177,471,
145,075,900,318,526,762,937,832,919,949,508,307,321,914,366,835,038,900,812,
943,299,858,789,475,261,792,522,994,968,114,634,505,628,740,327,222,006,136,
163,909,897,083,430,049,912,534,084,779,384,204,610,570,016,432,984,556,176,
462,169,261,773,635,099,209,383,015,239,595,149,781,565,322,269,592,319,426,
137,148,375,537,518,669,413,220,717,719,982,731,846,058,427,472,832,566,421,
202,364,867,673,117,135,679,538,504,810,538,268,664,070,801,650,447,522,299,
687,307,891,786,324,111,905,558,480,105,314,896,006,464,207,179,369,018,401,
829,304,515,408,737,937,075,635,329,558,686,810,921,166,767,812,822,934,530,
892,498,271,539,616,549,148,568,361,193,382,133,468,576,891,729,200,078,386,
957,033,634,278,413,509,231,593,875,645,035,181,813,333,167,015,148,614,849,
538,825,591,011,146,462,789,276,324,713,499,624,127,824,102,010,669,214,177,
750,808,004,938,467,089,061,977,742,295,434,668,000,515,725,578,703,057,788,
257,232,240,977,191,270,604,662,081,850,510,607,336,786,601,972,660,226,385,
125,390,941,148,246,593,098,637,421,574,742,369,539,997,455,619,099,603,106,
764,036,516,195,137,604,039,569,186,174,599,566,197,593,155,560,522,734,605,
277,648,694,762,238,437,094,994,807,004,131,605,788,529,328,262,723,640,666,
855,920,601,580,121,878,612,524,906,503,437,630,254,829,591,285,971,400,095,
578,753,506,051,882,336,163,184,925,836,668,751,857,915,799,227,363,941,621,
541,041,129,587,475,418,841,577,256,951,419,960,463,665,985,144,637,884,864,
794,864,431,439,135,390,764,623,149,335,521,342,786,218,905,039,715,113,636,
084,773,512,053,838,257,242,558,111,482,522,677,489,098,611,972,784,247,951,
508,992,278,543,310,708,763,741,907,927,607,705,835,991,371,854,814,722,770,
286,853,521,404,104,267,496,847,920,640,104,371,145,243,617,988,406,679,432,
854,848,337,165,697,171,278,085,843,669,202,059,323,895,668,173,162,304,671,
417,624,990,658,465,830,214,630,593,793,678,871,545,634,353,178,678,763,591,
386,762,858,228,529,336,034,143,511,797,369,161,229,261,360,551,083,275,253,
020,182,129,986,179,159,573,496,871,663,842,208,667,979,232,771,071,238,962,
932,164,314,457,660,614,448,078,658,967,742,103,228,729,024,581,293,842,961,
474,823,379,765,983,909,714,380,162,988,640,636,233,252,034,846,762,821,020,
724,666,718,351,297,196,459,663,297,896,376,206,878,471,101,694,125,485,820,
889,248,026,922,545,230,784,538,318,818,839,829,104,675,038,933,763,770,873,
216,966,041,545,170,593,476,726,850,884,784,168,213,458,360,624,056,977,232,
286,827,318,346,962,264,765,791,020,415,093,082,683,310,697,739,030,751,560,
199,426,394,707,199,260,868,427,110,810,468,391,123,588,308,836,609,583,570,
413,338,085,382,343,992,857,758,296,916,614,591,700,094,979,506,851,236,523,
592,055,291,509,530,369,745,938,633,518,628,750,983,076,958,797,603,521,669,
562,776,016,999,425,197,832,758,078,235,218,019,974,894,972,413,126,146,902,
526,982,211,538,352,097,497,788,973,183,578,148,848,624,043,648,792,685,755,
220,065,588,214,795,595,892,010,863,676,333,000,512,475,036,301,254,802,782,
925,146,264,309,184,670,664,970,635,177,742,645,613,467,273,590,912,632,997,
444,166,043,153,200,557,789,771,716,065,458,109,654,481,242,383,451,080,774,
170,947,874,724,988,288,536,930,575,616,451,203,542,124,003,553,624,480,696,
390,761,894,043,729,117,188,590,924,919,006,996,695,215,150,789,841,003,832,
983,886,524,168,176,914,215,806,604,652,678,656,687,089,874,727,145,634,308,
920,287,877,504,148,800,700,402,475,022,767,330,263,850,832,930,078,537,233,
224,848,976,235,691,501,765,330,210,479,562,104,091,950,942,044,282,657,306,
422,914,125,421,275,017,343,330,860,453,043,108,321,570,742,882,829,079,945,
068,550,016,231,968,927,313,210,242,349,676,791,199,046,248,758,884,357,997,
403,924,684,308,028,716,342,435,428,252,107,245,973,856,803,815,832,340,517,
737,102,166,227,573,917,459,774,002,231,580,676,680,467,484,757,037,947,066,
031,466,431,998,582,696,990,159,935,987,314,129,412,120,465,611,168,901,444,
521,720,101,519,488,739,103,545,836,802,733,080,494,736,541,376,151,081,584,
994,822,931,498,660,188,851,306,133,860,267,494,237,178,450,619,767,641,178,
899,286,391,700,768,881,185,669,818,667,852,552,331,644,020,825,573,339,754,
106,328,025,672,472,596,886,555,026,831,638,107,125,946,478,567,288,197,935,
669,518,816,559,610,758,294,593,794,898,433,858,667,188,546,845,083,469,444,
995,789,664,721,774,793,702,441,975,748,119,253,334,011,367,628,259,222,585,
859,762,456,627,779,759,694,615,944,427,987,281,857,392,828,412,868,883,841,
224,950,296,410,570,900,259,391,310,505,881,322,304,358,713,262,275,839,045,
269,596,458,706,136,992,123,179,866,299,020,339,873,420,398,674,464,243,353,
364,795,286,782,831,023,027,227,635,390,738,064,426,254,760,300,216,859,353,
322,834,027,426,093,040,744,736,344,589,527,053,261,997,629,047,801,168,927,
171,941,094,444,636,382,377,884,826,443,321,519,083,986,953,181,978,460,477,
753,713,651,391,233,491,698,426,933,147,695,206,465,833,008,606,631,132,631,
207,718,511,520,109,892,808,070,230,808,270,235,540,873,389,908,965,438,992,
292,120,597,529,731,971,143,900,373,753,657,235,226,082,302,676,019,845,238,
002,188,631,175,260,393,116,331,200,621,081,596,586,668,090,347,069,570,093,
311,162,919,521,598,027,935,156,248,270,686,608,480,157,658,580,728,775,022,
318,641,151,741,339,808,982,669,075,727,720,549,381,341,119,267,515,200,456,
969,128,096,550,936,060,249,349,369,083,321,924,809,980,723,690,601,585,229,
563,132,519,756,340,667,107,816,116,941,555,281,870,890,005,360,564,789,380,
769,796,696,798,991,996,180,273,185,043,262,837,241,260,269,598,477,326,528,
397,479,441,629,422,884,224,676,204,292,599,767,528,731,947,111,348,765,141,
351,940,790,913,358,803,100,982,358,682,777,578,891,189,739,300,127,180,858,
133,244,827,226,470,681,023,420,860,286,992,971,407,138,269,783,553,538,214,
318,419,771,341,311,459,704,259,781,567,198,812,946,944,754,049,541,322,247,
868,889,524,878,321,330,577,172,296,688,461,516,329,459,841,128,751,412,637,
539,410,585,591,115,524,724,294,481,581,223,538,212,070,085,940,450,005,043,
175,062,869,131,207,811,039,439,606,464,684,112,563,968,723,049,682,498,380,
477,051,369,664,829,373,737,170,570,799,401,690,401,799,587,932,446,051,423,
655,321,716,294,919,075,099,366,721,413,577,171,109,917,987,643,550,175,029,
704,966,736,116,478,666,391,157,476,347,428,350,935,341,627,235,132,870,118,
416,716,467,041,409,368,246,737,586,173,380,918,360,445,789,116,911,401,074,
700,394,543,266,608,784,873,738,594,455,115,435,059,336,996,586,338,406,671,
851,911,184,468,466,121,161,930,718,014,166,292,146,910,754,990,615,666,870,
393,388,303,722,237,532,354,456,266,327,754,814,616,577,776,400,966,905,449,
894,606,301,180,106,745,396,899,900,553,281,315,683,535,237,618,198,945,458,
986,838,550,489,904,615,493,334,056,993,146,048,596,319,173,434,251,455,093,
159,305,973,615,379,085,442,648,109,003,957,023,595,696,892,464,414,891,403,
275,197,820,516,143,181,593,052,547,795,481,496,191,546,974,104,539,098,465,
825,578,106,091,848,900,470,855,029,356,960,307,837,828,542,990,900,459,229,
682,357,814,294,103,701,281,554,934,699,222,535,251,316,943,740,439,488,748,
000,523,431,246,117,722,746,042,199,901,115,057,249,680,470,128,158,434,108,
676,754,935,551,763,727,406,311,999,097,454,414,526,249,521,566,855,687,306,
495,398,830,644,717,901,195,991,033,740,407,665,461,315,600,245,779,055,272,
797,741,600,669,743,956,118,192,921,481,307,813,115,463,668,295,291,453,522,
650,413,478,893,309,970,892,046,297,130,926,128,095,963,856,023,818,067,709,
465,174,390,550,082,020,807,997,653,308,154,438,014,839,141,153,442,426,934,
641,192,603,055,542,239,000,121,665,818,478,904,779,664,722,483,638,273,980,
525,881,109,624,967,736,630,060,598,382,595,438,240,407,613,960,687,806,228,
067,473,766,744,346,072,964,071,451,621,212,977,695,912,362,199,903,008,731,
528,820,755,416,834,533,576,118,813,800,386,606,419,435,687,179,418,934,233,
895,090,798,410,750,027,126,332,557,231,153,041,005,647,191,330,748,155,354,
754,262,986,195,026,018,832,416,698,557,093,000,786,118,654,818,739,977,490,
255,488,067,284,784,664,135,029,035,835,015,001,169,877,560,875,252,597,018,
990,697,787,975,473,598,732,900,631,138,078,557,364,920,279,350,027,953,959,
204,072,949,625,099,862,717,457,076,984,743,414,178,519,489,019,654,028,303,
429,444,687,287,048,595,892,235,387,620,650,676,261,915,319,285,546,920,761,
014,145,308,398,465,552,450,431,039,507,440,663,557,459,123,407,699,153,168,
826,283,173,446,339,525,045,506,897,244,620,134,845,122,999,263,951,864,959,
122,936,869,538,320,935,286,126,077,646,171,272,283,471,216,375,722,207,106,
354,344,415,636,293,984,695,547,144,463,820,178,072,667,586,926,417,306,613,
706,852,602,425,019,731,725,181,735,939,580,115,623,018,748,608,665,433,857,
834,130,918,990,819,424,653,401,602,414,932,528,508,368,320,262,376,483,233,
979,959,363,219,789,630,801,992,070,640,052,127,921,477,269,392,368,255,619,
281,188,163,410,925,751,274,521,319,494,154,498,549,359,874,681,589,336,605,
258,689,463,566,346,349,756,860,753,856,955,846,496,536,120,503,702,861,383,
897,133,179,099,756,854,379,753,360,700,034,014,407,264,793,788,614,480,144,
109,829,884,817,371,458,611,351,722,857,312,794,977,334,698,154,165,057,911,
180,310,509,830,589,422,265,678,837,034,566,044,813,731,920,824,591,728,479,
076,763,823,041,499,069,162,399,036,536,461,084,359,361,045,648,643,521,375,
903,804,011,073,237,310,026,847,616,858,049,518,045,674,019,054,647,818,001,
526,927,208,398,892,276,925,689,157,339,914,928,294,275,687,945,472,165,036,
845,536,342,983,428,605,044,170,960,783,658,355,228,227,173,205,387,228,083,
570,945,779,474,961,494,618,606,691,777,515,287,819,064,803,061,114,397,914,
649,620,737,762,840,114,624,111,152,665,328,149,578,737,385,890,241,989,716,
985,154,240,947,441,442,323,947,620,301,868,148,718,854,751,855,489,170,629,
698,480,802,987,219,220,612,769,976,143,357,711,584,650,865,237,074,494,906,
011,195,497,910,543,569,830,035,501,085,313,799,470,599,933,065,358,028,122,
841,265,275,426,534,132,146,365,427,625,191,062,679,984,847,863,318,298,794,
373,476,758,133,114,498,591,646,627,031,039,033,452,452,986,408,237,258,919,
147,379,438,785,738,985,878,730,625,049,988,903,761,789,028,054,196,063,652,
933,452,014,010,115,942,447,104,748,589,486,959,942,257,172,045,615,348,742,
737,933,484,975,279,478,005,409,872,267,383,367,964,399,345,681,387,838,737,
496,564,546,616,484,466,573,178,278,983,681,902,893,504,357,276,517,357,258,
144,124,521,663,035,841,697,934,615,194,842,786,914,760,134,178,945,500,619,
267,897,404,501,030,164,691,968,257,471,356,189,127,831,000,129,483,688,270,
597,988,141,129,559,943,816,232,333,767,520,391,873,231,069,627,133,762,692,
858,973,683,316,327,268,315,440,247,021,875,145,474,589,631,167,538,960,715,
837,035,383,114,544,947,421,116,245,507,379,197,824,836,978,090,783,386,786,
113,615,485,488,280,052,767,623,977,257,450,203,837,680,522,431,454,029,169,
476,291,069,706,032,904,609,830,942,824,165,557,126,149,504,983,359,033,596,
138,279,937,758,869,820,901,255,660,934,107,374,235,973,230,259,534,639,175,
015,475,377,273,028,549,879,051,497,517,416,657,132,278,813,786,316,867,442,
352,744,345,779,994,629,923,899,348,893,732,726,656,069,601,429,039,199,351,
713,511,201,465,847,773,451,116,010,360,723,942,058,041,755,715,117,755,572,
539,867,418,123,735,935,619,563,132,742,945,718,517,039,700,013,153,697,677,
728,347,901,363,319,675,188,946,394,897,366,980,120,922,734,014,470,847,496,
732,086,517,066,773,434,188,815,164,134,347,922,123,986,917,355,869,475,376,
254,951,019,609,700,945,348,297,878,788,054,901,056,908,184,884,991,104,043,
845,777,139,587,407,732,081,362,493,084,436,887,197,310,802,245,371,665,740,
457,555,438,199,327,410,099,013,914,152,386,850,229,803,983,608,021,738,482,
813,469,506,385,701,594,792,455,167,481,893,184,069,254,829,974,854,136,468,
815,539,637,055,369,236,326,781,908,151,330,677,499,579,488,088,773,360,684,
421,398,737,769,994,412,133,266,342,022,425,045,930,205,989,426,227,526,838,
884,740,282,604,907,359,929,009,321,900,475,801,860,877,174,207,289,568,480,
770,226,596,323,001,466,808,027,772,171,397,658,224,627,568,265,500,577,007,
980,905,800,278,299,056,709,132,708,370,645,245,179,369,624,763,019,370,306,
016,176,505,098,296,357,139,707,093,347,092,179,812,953,802,005,738,982,047,
188,851,703,110,805,518,154,277,386,543,729,312,671,779,684,787,121,814,456,
737,218,997,852,507,855,991,196,187,440,200,750,293,523,132,555,682,877,360,
346,934,322,808,737,154,698,857,795,919,626,874,780,938,110,592,643,826,815,
217,952,428,767,730,621,808,296,498,048,176,797,148,683,766,832,940,643,939,
212,939,812,446,580,021,457,046,744,715,102,978,911,390,369,451,662,555,686,
214,032,484,670,251,982,863,671,807,069,937,092,452,658,596,252,926,661,237,
197,283,071,841,966,131,010,079,183,817,625,038,134,827,349,943,984,186,984,
213,054,417,574,186,229,598,400,900,228,448,944,562,682,069,703,235,035,591,
245,334,274,007,289,683,613,539,278,133,944,858,444,042,719,528,651,802,384,
616,186,173,409,517,672,581,294,542,073,892,069,163,181,832,364,338,374,683,
519,841,714,378,201,552,166,249,996,060,634,660,733,150,818,489,769,580,907,
623,023,317,176,020,316,555,684,742,992,081,441,448,352,432,224,464,866,432,
017,998,061,849,629,736,427,663,877,724,837,370,036,659,913,817,906,936,778,
623,653,235,518,388,829,164,982,270,412,491,314,157,201,300,136,978,516,533,
200,060,358,166,816,920,247,312,690,447,451,341,053,815,431,607,146,402,320,
843,289,235,128,378,287,592,873,502,331,050,762,500,728,751,240,756,928,745,
972,767,020,975,764,608,688,358,270,986,582,319,640,967,341,064,009,970,650,
313,560,472,654,227,019,747,939,472,044,123,201,702,933,719,922,666,870,073,
699,019,420,073,607,644,171,185,787,667,466,051,238,312,228,273,399,124,347,
760,703,808,833,054,654,941,519,819,187,671,802,844,232,827,963,923,602,459,
657,270,637,422,584,182,917,995,520,477,461,272,393,823,886,518,199,975,435,
338,977,479,168,031,138,065,833,068,604,703,185,363,670,167,839,709,056,618,
871,860,486,783,412,232,593,444,783,341,066,493,136,723,878,007,424,995,357,
979,370,965,049,855,451,434,939,133,370,983,940,425,299,461,120,269,787,037,
093,388,315,093,744,747,722,112,912,584,510,322,465,517,577,113,425,398,269,
306,679,007,621,569,159,130,600,457,855,962,201,882,743,912,624,645,237,267,
972,005,006,968,944,820,553,903,134,043,749,752,874,836,813,450,032,241,299,
962,631,918,510,771,259,320,216,450,278,450,210,674,536,590,013,556,216,371,
172,087,520,104,477,729,339,420,387,274,371,316,625,924,878,091,824,398,080,
877,536,359,748,753,684,784,000,532,242,231,584,893,422,877,087,467,873,788,
439,291,511,133,307,041,077,965,924,387,407,809,335,366,122,577,611,108,828,
066,491,468,413,125,379,158,654,305,963,407,763,269,452,449,352,532,754,990,
315,728,282,692,963,209,046,859,470,749,148,667,779,845,498,262,596,945,740,
940,677,870,762,658,748,977,777,032,518,775,370,911,221,065,696,479,672,504,
620,713,785,181,706,818,630,523,833,049,065,371,205,657,444,886,794,717,011,
719,089,891,813,236,392,503,309,873,579,976,959,887,408,447,155,062,245,313,
355,739,310,783,300,257,395,158,757,044,607,736,439,906,758,343,255,230,473,
968,852,783,277,013,376,143,883,148,008,109,699,402,337,501,332,509,274,953,
510,015,226,523,582,601,783,950,483,751,572,003,012,599,386,062,438,107,587,
045,929,951,706,397,431,541,594,052,594,501,491,886,806,408,035,977,550,440,
792,315,979,966,390,164,809,179,030,935,013,729,069,466,272,856,551,718,035,
551,916,837,715,363,118,304,030,458,841,152,416,754,201,750,217,187,943,929,
744,164,102,412,839,750,025,232,470,675,170,921,236,028,761,358,681,825,083,
684,573,558,941,017,271,746,756,424,025,608,822,261,784,482,671,930,413,410,
154,515,240,280,681,688,521,197,554,338,719,269,530,272,429,424,744,197,899,
262,902,698,029,357,864,997,369,350,287,219,936,643,648,109,241,651,252,762,
986,213,761,507,775,107,093,602,169,113,859,633,905,150,373,713,497,553,684,
354,143,749,866,863,536,885,484,419,263,144,645,125,954,336,127,717,821,696,
131,325,105,774,586,645,728,123,177,336,739,472,472,399,383,625,645,035,585,
327,904,706,612,176,970,913,516,257,824,439,543,015,068,287,940,610,202,154,
025,660,198,124,314,357,878,387,468,854,502,399,747,797,392,520,089,969,809,
934,467,240,390,276,045,242,125,582,397,718,835,267,586,512,892,064,274,223,
680,213,072,471,513,487,649,455,673,690,758,279,858,961,950,943,027,278,215,
773,706,800,590,051,743,630,756,928,027,642,733,892,960,726,226,878,555,933,
211,544,845,723,480,398,805,033,894,655,562,300,947,288,502,139,921,560,106,
716,226,196,057,088,434,117,470,609,737,895,850,281,781,405,725,768,784,387,
160,689,900,192,934,050,419,539,430,971,437,712,034,690,132,549,087,407,937,
867,753,038,344,625,313,533,862,681,314,404,628,829,828,590,957,090,373,627,
414,419,851,224,986,743,122,108,279,621,204,231,044,281,508,018,610,156,699,
018,005,947,249,713,995,361,118,602,622,361,529,046,666,390,413,603,422,633,
087,637,950,011,022,530,913,051,649,169,773,222,315,547,714,634,029,603,398,
895,186,763,171,323,462,654,796,037,486,409,934,451,815,382,374,302,810,348,
808,615,043,865,089,083,764,693,088,369,086,526,670,637,642,575,810,883,044,
940,431,331,488,782,216,974,235,957,067,463,852,074,919,048,542,085,776,800,
209,600,990,529,212,977,298,319,194,602,175,587,909,816,463,480,491,069,553,
068,282,608,171,216,785,265,033,853,224,299,436,008,816,009,467,614,169,017,
194,648,483,044,224,306,007,241,286,357,451,585,705,419,483,150,978,528,455,
210,591,412,942,081,923,312,846,469,993,160,920,447,237,121,164,112,565,929,
656,334,385,819,357,958,068,577,987,396,689,256,136,746,450,249,953,912,070,
575,577,979,466,585,418,847,654,599,107,573,195,208,616,011,636,143,059,948,
804,281,600,725,947,354,899,173,868,269,731,460,027,526,144,491,201,517,088,
442,867,235,139,698,604,818,146,100,803,864,484,886,834,379,468,617,514,690,
131,416,181,125,355,619,224,792,499,388,659,031,677,826,122,685,734,073,967,
773,423,692,980,496,374,392,339,807,599,985,767,746,503,431,795,814,113,294,
461,977,228,048,025,676,124,375,853,114,695,700,296,828,958,599,949,488,716,
247,293,566,704,236,126,756,358,524,517,880,669,899,664,723,598,889,986,752,
223,336,065,704,771,601,535,796,821,599,797,781,132,028,255,846,208,542,151,
902,866,992,806,414,934,922,252,759,552,005,922,623,146,915,158,105,609,356,
688,546,801,901,836,909,041,170,652,370,867,013,410,717,990,297,738,640,438,
547,985,730,523,195,421,591,463,548,543,078,570,394,412,221,854,005,785,628,
549,081,945,314,087,454,564,577,103,819,934,718,870,577,075,422,100,319,618,
995,930,364,574,192,910,748,873,788,049,658,404,389,847,754,083,092,172,237,
925,909,303,978,606,030,130,192,519,239,199,942,443,624,395,516,158,113,466,
270,563,580,260,339,944,418,039,517,110,021,214,729,827,023,813,927,599,390,
101,000,401,246,590,137,161,556,523,702,240,590,836,557,075,222,043,699,621,
315,024,121,232,458,157,897,416,735,054,232,404,638,929,003,977,780,040,172,
075,586,425,653,387,639,072,385,821,705,193,185,886,849,037,505,112,161,583,
529,535,175,262,186,701,328,097,980,229,621,061,593,980,594,578,049,279,416,
406,133,903,471,544,163,454,777,592,935,843,887,485,206,293,139,971,883,300,
096,615,566,597,554,758,488,292,674,079,472,278,684,451,921,484,300,721,156,
456,404,717,985,640,337,937,947,640,029,656,481,225,204,698,346,553,856,688,
914,446,985,312,529,546,397,781,136,428,629,832,675,654,430,468,574,034,814,
391,322,720,855,958,905,930,461,250,643,008,857,165,332,236,712,567,440,567,
074,393,762,932,109,434,455,774,544,477,685,789,576,128,536,724,827,890,486,
665,094,548,159,565,730,971,111,389,055,543,697,352,674,462,724,178,208,954,
037,110,629,339,693,950,299,803,068,647,864,937,494,273,936,771,592,507,248,
262,087,905,713,512,142,044,401,548,424,102,839,083,695,502,529,897,391,884,
107,206,019,789,642,939,149,467,997,021,478,471,171,614,791,595,225,286,296,
964,164,073,497,113,679,395,098,652,931,120,547,648,290,368,931,820,187,839,
777,452,885,433,133,398,872,545,234,886,127,915,119,778,845,756,788,066,145,
402,808,182,280,214,748,038,060,011,428,852,459,273,572,151,729,330,444,768,
444,350,402,572,896,697,965,336,350,457,336,600,094,151,480,901,532,938,057,
811,653,774,736,190,527,738,770,157,479,912,553,778,354,671,358,354,203,337,
167,068,120,722,547,726,935,501,350,553,658,604,737,462,324,926,875,014,104,
678,794,143,650,687,891,240,841,210,369,995,856,674,192,447,448,519,758,997,
131,498,276,864,251,552,238,350,764,257,185,192,663,606,925,452,257,282,767,
292,422,182,112,892,419,014,692,655,706,161,317,148,897,366,236,524,110,560,
481,105,382,556,168,132,534,777,862,058,902,370,552,747,601,845,362,541,037,
280,341,078,666,067,812,631,675,748,968,743,140,591,630,153,790,828,962,367,
397,119,270,671,626,965,673,495,469,970,366,454,297,891,150,237,430,502,913,
286,243,015,993,076,454,200,368,700,404,663,995,363,328,665,099,356,237,749,
441,985,549,340,077,406,340,789,363,640,414,595,687,254,053,914,128,704,623,
448,789,509,666,254,102,077,668,433,989,335,865,530,673,524,625,560,009,418,
377,070,239,521,628,183,692,178,839,066,866,147,019,070,276,244,123,970,439,
778,219,068,799,260,567,398,649,116,799,657,823,821,454,791,981,097,804,374,
267,010,238,628,639,651,075,364,316,681,527,992,241,615,931,209,665,195,790,
932,020,725,150,340,022,434,585,365,065,302,435,270,876,576,762,612,105,873,
552,712,963,188,106,005,944,083,588,696,256,730,220,365,674,978,292,901,621,
905,366,097,717,265,439,556,959,523,017,487,790,308,088,584,674,427,670,131,
711,104,933,037,194,063,575,409,447,302,138,464,402,710,687,162,914,818,173,
972,195,867,131,951,760,337,044,162,718,743,781,932,186,466,397,133,901,116,
282,850,531,599,330,811,682,420,119,585,405,285,260,603,006,629,789,184,949,
906,616,206,489,008,885,446,713,891,189,186,487,657,141,822,162,267,345,985,
589,851,810,750,441,198,515,787,883,471,242,656,833,776,829,934,924,871,846,
876,359,866,110,833,818,240,451,642,259,753,500,862,023,120,724,842,876,467,
499,363,359,362,658,051,631,101,647,591,641,522,937,357,365,348,151,246,225,
034,690,700,589,415,759,803,582,923,319,242,554,499,750,660,372,328,781,697,
568,129,383,206,817,892,384,921,540,743,683,651,682,797,734,763,867,039,715,
830,375,027,252,169,358,357,443,521,820,421,139,423,502,135,451,375,614,856,
646,211,436,726,486,687,322,115,630,046,043,573,670,616,646,982,243,419,404,
476,027,106,391,787,594,410,953,924,054,910,242,559,252,096,639,680,391,838,
114,138,113,489,505,156,836,571,478,252,711,011,803,104,145,587,246,460,866,
658,277,478,819,471,738,683,267,738,231,951,375,869,137,630,180,196,952,443,
188,955,074,185,083,274,552,315,092,928,369,288,015,986,629,991,557,438,364,
066,168,424,701,406,275,985,278,435,347,117,408,278,539,296,904,311,330,619,
789,501,356,715,760,395,867,008,593,292,360,607,114,437,123,308,561,968,754,
092,200,672,658,700,829,744,429,676,338,430,835,061,158,405,395,522,055,404,
437,921,787,202,237,026,575,745,518,362,825,212,189,048,271,562,032,588,295,
355,013,671,462,351,726,745,690,528,435,831,172,586,492,020,688,625,288,043,
504,601,365,666,565,753,340,681,954,660,545,613,788,223,501,556,703,375,735,
897,261,277,945,283,504,172,101,333,028,890,321,475,266,396,379,999,860,675,
699,833,999,409,836,314,785,470,824,824,504,406,643,375,708,077,788,128,368,
411,076,262,599,735,067,440,394,306,760,250,651,867,143,262,374,296,017,107,
414,822,078,741,510,600,436,930,330,708,273,261,586,206,281,646,540,005,498,
856,592,319,555,454,821,860,684,337,548,472,590,663,533,841,503,893,505,192,
024,438,020,868,676,310,867,946,740,602,046,097,549,367,565,501,512,229,797,
091,232,656,789,831,158,671,990,400,320,531,353,913,028,405,036,528,049,026,
793,321,077,125,812,400,752,521,818,113,280,545,849,374,067,762,632,622,152,
841,061,691,501,293,861,382,288,076,876,458,010,115,044,513,237,747,563,560,
855,043,358,233,884,365,565,808,870,100,989,766,002,227,147,957,101,646,073,
425,466,725,870,266,602,057,261,247,323,332,105,729,502,750,553,884,340,205,
452,773,212,331,276,819,603,747,872,449,028,276,490,044,597,783,837,640,012,
992,707,576,574,415,284,522,476,899,374,239,997,616,431,560,429,412,703,257,
368,410,658,158,324,745,640,225,562,537,906,959,047,821,005,117,343,919,587,
899,935,711,658,573,526,938,897,769,858,446,335,947,725,364,534,171,041,348,
408,138,910,948,582,287,958,973,859,840,419,173,391,499,342,316,671,791,954,
054,894,177,392,896,298,794,928,611,538,917,874,223,087,222,667,596,884,066,
852,391,729,131,186,194,313,681,953,297,937,088,391,483,086,522,945,268,907,
716,576,782,813,393,151,052,724,019,709,305,099,382,292,208,687,525,462,817,
815,551,768,667,821,974,604,232,499,075,005,321,876,617,669,431,604,016,080,
574,495,264,793,292,134,261,308,872,134,360,987,625,646,202,175,214,159,672,
865,436,245,581,223,120,093,594,045,920,910,558,125,061,608,958,159,353,413,
809,927,550,516,724,038,796,903,797,880,286,150,459,604,426,617,776,619,180,
917,242,694,700,130,027,425,392,322,301,402,966,961,854,761,197,751,798,378,
174,514,345,993,373,662,719,872,654,614,683,408,544,879,769,566,847,094,142,
951,875,387,262,486,973,152,016,172,806,542,606,630,338,442,758,898,964,729,
754,611,362,307,988,077,058,780,982,765,203,048,185,855,185,648,732,130,186,
764,785,895,063,958,935,002,925,706,579,200,228,538,135,558,903,355,789,670,
475,075,981,686,065,209,775,596,623,660,521,642,288,575,464,402,247,084,242,
816,706,844,274,424,913,933,729,390,316,486,638,318,909,892,673,667,821,481,
899,808,139,236,129,324,803,247,083,473,400,305,894,499,399,019,266,137,025,
696,153,103,433,476,921,900,824,129,182,792,987,977,009,771,947,184,437,069,
400,357,302,740,119,768,509,116,736,668,805,007,610,215,030,833,783,091,281,
055,823,156,998,654,700,945,107,425,452,493,253,928,517,704,121,985,024,515,
249,238,183,507,334,731,911,883,401,765,493,565,901,251,690,737,776,095,145,
801,697,175,716,356,558,140,046,634,844,468,464,828,652,952,565,064,749,870,
290,716,782,358,350,092,396,894,080,024,049,596,995,430,881,800,502,275,598,
357,598,172,060,651,188,697,208,218,551,181,142,373,367,659,382,582,039,903,
584,557,336,363,577,802,828,783,286,989,402,690,867,140,633,095,900,949,782,
520,887,555,362,660,902,793,325,088,496,701,041,188,307,929,732,748,079,519,
572,089,505,377,522,033,707,276,326,148,782,048,237,360,829,253,004,874,530,
572,967,164,443,074,041,498,495,083,013,015,625,993,570,025,981,208,926,139,
842,248,474,607,568,184,094,566,965,447,419,916,942,817,488,781,622,312,830,
503,488,061,536,341,255,600,263,352,320,720,792,924,424,960,588,777,367,425,
053,138,535,013,071,629,593,039,422,699,434,476,340,561,749,367,473,249,901,
462,432,310,547,614,332,235,706,946,537,723,494,114,427,378,031,307,788,355,
640,251,229,405,690,294,862,249,329,067,749,854,091,405,081,913,939,822,296,
497,320,137,999,128,484,364,114,462,135,712,425,421,269,388,825,851,440,281,
418,215,974,295,175,947,061,719,704,398,987,075,324,448,512,214,210,164,973,
685,495,348,971,946,029,846,830,313,858,352,427,774,182,883,077,658,946,714,
384,700,020,182,197,209,957,342,531,661,887,240,043,848,982,953,241,845,590,
539,895,205,658,875,077,020,111,093,229,832,478,141,004,303,377,086,163,000,
251,762,167,989,678,552,255,243,875,347,553,225,695,744,044,475,092,887,456,
983,919,632,329,267,737,253,735,949,349,390,641,097,797,898,443,481,611,657,
127,780,162,109,600,155,763,592,788,827,092,527,595,257,524,578,339,051,165,
033,174,246,187,507,107,325,281,218,101,752,083,446,492,297,299,930,743,181,
627,020,975,438,953,675,165,892,211,379,971,191,882,754,144,968,470,059,357,
546,196,542,721,184,055,511,491,076,972,897,047,209,657,310,297,479,924,159,
638,554,391,045,416,272,143,643,675,624,291,662,679,793,943,976,965,081,660,
249,173,691,000,021,034,551,387,499,702,867,487,627,293,023,887,241,560,225,
938,925,213,727,435,091,025,114,743,850,230,794,324,778,866,417,706,121,563,
919,985,841,647,680,586,463,904,594,777,579,296,106,334,948,248,530,971,135,
773,411,083,480,637,651,811,674,415,882,879,468,680,168,485,929,182,246,617,
977,343,013,942,230,352,655,947,609,264,500,411,027,457,661,325,731,350,314,
704,877,786,015,114,821,514,399,895,960,773,068,278,041,031,839,326,630,370,
207,357,993,129,023,038,529,520,922,001,545,419,928,332,874,179,841,545,288,
843,958,476,174,705,022,779,938,799,434,979,789,808,668,232,053,119,901,799,
652,471,271,334,296,342,011,559,661,577,873,433,273,750,623,860,501,907,474,
666,006,641,146,241,007,022,727,723,064,910,884,622,533,081,458,274,129,842,
671,460,236,176,988,396,404,517,605,281,052,075,911,540,361,052,190,569,654,
784,356,229,505,351,543,565,027,894,925,253,095,303,961,651,025,161,494,998,
069,362,652,246,311,954,553,332,379,652,827,356,614,319,817,566,617,141,264,
933,698,870,076,790,104,179,734,049,640,402,268,945,099,098,874,327,240,082,
869,386,962,117,397,582,471,188,857,218,538,220,899,508,833,650,896,804,313,
003,255,185,756,683,583,219,430,540,590,907,418,709,786,087,797,626,492,214,
882,453,693,034,684,303,726,344,416,364,544,126,009,738,934,371,821,207,287,
045,496,640,756,332,090,034,640,324,081,268,483,312,958,059,227,712,381,570,
672,973,309,888,031,874,135,926,275,129,539,110,906,927,412,482,347,614,798,
837,870,327,652,583,276,302,430,037,177,238,029,278,974,470,273,467,818,085,
283,302,524,482,741,760,956,542,804,297,348,963,231,664,345,264,403,788,823,
104,274,498,668,582,271,934,740,287,786,304,541,543,640,215,312,016,296,543,
868,517,609,617,633,562,211,038,709,768,232,897,388,723,469,725,713,251,747,
084,231,827,907,386,973,514,104,185,072,716,422,671,691,499,384,136,078,182,
594,513,421,786,249,323,317,453,858,713,284,555,639,633,032,027,061,840,147,
629,064,960,945,463,880,858,131,168,678,419,199,967,676,761,898,009,932,893,
531,325,608,808,032,533,301,399,815,543,757,719,051,086,242,572,053,099,365,
388,680,257,326,471,459,629,136,119,316,839,482,275,241,713,546,916,314,638,
953,702,829,232,980,362,787,820,950,216,108,834,898,973,654,914,666,650,205,
179,580,868,734,936,794,136,515,616,054,391,179,886,195,105,502,117,241,658,
637,644,219,452,966,350,502,245,470,166,365,566,933,274,966,725,941,497,429,
524,993,255,744,333,988,007,307,616,466,413,426,238,828,102,509,642,899,175,
007,887,763,463,812,554,718,767,370,509,758,433,114,419,717,449,278,872,453,
420,974,721,536,260,545,643,626,239,173,530,133,927,693,236,273,836,446,282,
172,021,557,133,768,095,624,330,654,692,288,728,411,303,911,429,787,232,835,
748,030,726,606,543,277,557,481,273,388,045,108,874,990,206,929,587,209,453,
782,386,359,813,746,406,059,232,506,038,172,197,913,757,489,607,849,407,643,
651,992,424,861,372,115,905,531,113,052,280,464,907,715,757,431,490,932,632,
858,035,063,500,182,480,052,366,780,572,505,996,370,503,695,471,166,099,738,
082,557,882,307,904,389,973,965,646,484,080,760,967,257,276,946,063,602,241,
148,495,073,664,009,863,382,230,442,685,095,044,553,219,011,936,963,229,049,
268,588,395,168,262,206,802,497,273,008,173,226,205,675,016,236,875,362,553,
549,962,036,035,567,366,771,749,259,804,409,947,074,467,065,588,353,987,875,
447,169,001,423,819,692,832,585,066,140,382,791,312,313,093,721,135,419,226,
424,806,083,787,639,684,124,516,205,140,848,012,065,496,345,403,838,264,864,
412,479,542,993,534,718,954,018,998,529,989,901,813,660,530,196,325,578,093,
271,265,405,857,757,558,092,289,696,907,347,424,722,134,735,508,883,101,591,
267,755,400,885,416,902,147,865,400,200,680,397,434,443,520,800,415,132,395,
808,698,815,451,727,209,882,099,010,364,678,321,058,529,406,511,037,092,097,
118,166,851,753,643,816,616,297,778,737,132,503,491,058,994,206,396,010,090,
796,211,823,666,650,427,968,677,330,576,272,035,320,242,293,368,485,900,402,
429,463,204,366,699,253,830,649,062,686,880,115,057,518,329,327,360,958,108,
800,007,621,976,250,646,913,371,656,658,236,299,955,718,868,115,693,063,984,
962,641,382,945,924,949,605,747,803,824,541,915,972,297,562,390,275,216,039,
544,346,013,810,988,594,934,698,641,077,549,022,781,906,980,018,809,297,212,
820,132,140,771,670,625,657,706,837,473,792,364,263,214,091,917,603,706,865,
429,027,765,016,141,065,942,770,652,647,366,454,882,775,651,161,402,388,264,
323,587,274,657,801,103,457,580,872,354,405,928,659,268,601,955,342,236,306,
597,488,595,692,688,452,291,693,711,791,745,139,158,949,469,784,041,210,180,
246,663,019,209,905,134,653,700,759,912,265,149,217,047,754,397,669,438,027,
899,732,385,355,231,241,124,976,804,674,287,453,604,181,998,614,411,116,304,
086,706,537,569,320,821,019,679,474,030,983,838,595,455,815,483,896,817,768,
255,451,471,660,442,206,298,609,492,814,307,980,719,995,806,502,072,584,542,
556,197,878,907,316,613,774,854,954,124,573,290,939,858,767,322,640,121,053,
923,175,212,798,717,539,068,860,667,406,622,926,646,875,759,587,557,340,994,
647,816,601,042,405,127,115,289,873,335,177,740,772,566,793,889,772,179,613,
722,544,407,665,924,388,485,016,568,188,161,822,018,781,976,123,687,959,152,
573,451,981,863,301,857,295,029,037,759,984,636,848,943,535,483,940,957,166,
570,655,031,200,169,966,567,478,500,171,240,138,524,612,570,367,607,566,502,
712,378,302,210,247,986,373,201,394,297,326,884,611,951,336,228,676,947,658,
447,285,753,134,795,499,573,932,242,279,688,623,641,210,355,320,519,947,768,
156,959,304,390,596,878,061,348,074,337,075,805,016,794,593,952,926,778,981,
482,263,434,239,822,546,128,218,789,671,749,348,616,506,978,624,725,133,699,
651,932,782,203,191,213,943,526,135,024,893,589,084,531,619,039,976,578,687,
029,808,273,808,176,358,386,665,451,479,993,213,559,160,999,685,955,425,984,
872,292,073,577,289,906,897,658,173,345,875,589,020,808,696,535,922,138,666,
434,570,739,760,980,758,639,734,876,449,715,045,576,317,970,514,059,210,212,
782,677,710,754,781,742,230,460,875,920,839,845,585,295,461,713,740,867,332,
449,930,548,719,792,462,827,028,952,652,040,036,387,851,191,519,153,124,843,
539,498,845,756,347,213,809,530,775,649,436,860,423,759,325,226,319,461,444,
376,996,061,007,960,938,507,867,690,710,243,610,551,063,034,198,795,418,209,
710,198,932,751,743,533,565,466,921,445,044,118,380,793,147,326,160,758,051,
990,096,936,126,360,264,991,805,175,113,020,974,547,648,796,167,704,205,454,
995,442,006,750,039,220,869,298,862,943,611,132,535,521,337,727,735,571,907,
215,099,566,508,796,041,249,422,205,811,251,144,211,874,578,295,341,099,254,
526,665,433,793,858,583,526,964,781,015,673,419,617,566,765,674,785,011,424,
756,962,707,846,336,657,436,737,535,630,188,458,984,786,257,897,206,973,538,
733,484,291,906,238,715,466,970,743,335,069,909,591,609,214,771,556,353,418,
196,723,453,511,060,946,865,844,578,464,251,891,962,499,385,006,974,250,604,
362,196,365,480,123,027,432,097,246,756,759,287,504,789,413,476,389,540,504,
427,518,220,255,605,427,688,451,071,816,587,087,610,187,450,878,031,402,544,
906,331,081,539,814,442,610,402,008,467,073,108,466,888,623,656,688,159,724,
074,796,081,305,398,637,660,491,473,543,990,396,190,454,122,661,516,921,114,
674,481,259,561,945,272,907,458,872,710,711,712,646,152,493,987,666,711,900,
873,314,589,841,906,524,470,055,185,417,330,824,440,019,624,518,941,278,607,
097,318,738,781,682,017,617,469,995,359,891,267,381,752,663,518,110,085,838,
138,435,165,933,333,286,678,572,037,233,742,046,059,208,381,418,394,677,715,
211,722,900,523,712,357,014,402,898,451,844,574,641,618,966,412,267,825,428,
537,112,900,117,187,394,640,318,638,332,985,561,669,490,810,134,025,151,289,
507,655,310,522,063,089,097,043,848,430,923,480,309,258,694,421,164,915,383,
121,910,480,411,142,122,935,017,402,905,981,781,593,438,584,962,245,699,455,
505,361,283,072,696,814,778,229,889,814,423,288,095,075,575,599,573,007,276,
291,590,161,652,397,362,184,665,534,522,310,580,975,592,990,731,869,261,809,
714,598,539,103,023,596,167,036,437,186,947,064,612,433,309,676,997,766,525,
468,648,163,928,402,765,454,092,953,535,662,841,936,618,881,438,184,523,332,
263,666,978,826,674,860,840,637,691,447,195,947,627,207,869,407,862,700,624,
102,597,613,162,882,756,318,211,451,675,828,557,604,039,313,018,731,167,439,
266,421,734,474,841,322,229,813,371,168,692,116,233,339,325,417,746,996,489,
719,434,179,387,284,676,805,539,456,731,549,316,668,372,246,930,718,368,892,
253,434,877,669,740,694,070,421,558,050,320,131,310,366,639,165,280,681,092,
036,439,317,517,820,849,745,580,095,669,458,976,878,840,452,861,973,250,536,
683,006,147,187,429,465,153,813,873,434,116,167,207,578,026,949,746,960,076,
711,940,081,015,288,524,519,868,056,256,646,001,984,138,748,814,953,831,882,
719,967,436,912,050,840,511,939,966,681,380,273,230,878,856,879,443,566,222,
104,057,249,483,342,697,683,464,266,941,117,671,358,066,602,583,470,066,826,
483,364,942,171,155,401,779,187,320,830,147,764,085,846,009,064,368,728,468,
173,356,934,066,814,294,308,511,857,468,515,641,657,870,319,100,036,166,050,
286,443,136,697,879,249,690,619,977,457,771,282,631,550,475,552,189,582,172,
687,133,176,642,250,128,990,409,917,231,235,743,940,934,418,956,927,423,020,
069,668,336,275,380,037,717,613,534,861,155,333,653,160,612,195,859,155,543,
483,084,909,488,966,997,799,511,241,140,374,139,391,083,917,850,935,536,302,
103,743,308,170,727,087,325,936,558,269,390,967,657,969,895,026,823,910,776,
035,477,917,597,986,126,222,745,957,346,397,002,705,258,506,360,405,985,594,
367,585,520,197,687,480,583,949,558,074,608,523,027,651,320,278,874,026,274,
018,170,716,570,906,970,288,294,704,983,369,809,499,991,143,533,665,378,602,
406,304,101,133,369,228,712,255,347,454,744,204,465,332,708,603,975,306,854,
382,588,362,271,312,988,799,311,856,385,378,057,317,668,076,732,061,669,597,
737,457,889,694,376,648,495,437,904,533,605,813,300,302,203,290,742,333,859,
716,122,994,731,034,460,251,629,361,458,136,924,856,012,115,574,569,720,141,
985,771,564,615,562,646,295,289,029,378,439,958,622,649,356,669,151,811,166,
399,983,220,837,153,684,071,611,213,882,783,925,901,417,025,074,165,765,438,
518,955,399,735,418,317,261,492,351,340,418,642,910,696,187,959,108,412,404,
190,175,859,019,680,006,254,216,073,750,405,043,966,400,221,870,978,271,997,
813,345,143,770,974,801,283,069,516,730,010,718,737,374,366,852,329,615,105,
646,213,078,177,673,682,819,712,360,653,341,001,815,282,066,805,252,693,907,
076,493,411,955,725,101,138,354,474,327,447,214,659,652,694,832,625,552,014,
907,056,450,195,256,111,116,520,482,870,410,918,478,598,256,706,062,094,456,
602,282,567,348,129,594,841,950,999,889,628,345,629,443,787,505,379,571,671,
022,028,200,045,632,498,025,342,916,832,219,440,249,354,223,478,599,602,789,
628,398,333,856,623,072,379,311,045,904,234,120,650,116,684,660,272,294,114,
015,015,132,550,348,089,239,134,019,590,625,333,338,050,090,201,072,169,404,
723,672,409,272,226,863,983,401,444,909,185,714,924,940,278,100,372,593,709,
047,040,932,173,878,887,066,385,871,650,150,573,388,821,773,874,952,443,300,
891,381,525,028,982,494,548,765,389,994,038,574,629,307,024,122,563,466,497,
423,944,410,508,867,323,795,231,132,846,406,659,770,269,592,854,528,364,405,
073,506,390,971,338,004,671,563,380,063,953,003,799,283,863,939,167,779,295,
068,085,227,143,066,724,407,558,213,740,045,407,090,069,991,814,000,368,124,
897,234,909,195,799,788,933,385,485,849,115,833,926,394,911,032,616,711,447,
773,089,650,435,401,910,612,279,166,271,841,458,376,756,331,390,511,229,591,
842,002,557,686,631,528,552,970,169,037,574,328,686,288,889,512,331,715,728,
713,481,615,907,107,854,280,666,154,099,609,564,872,794,491,764,241,100,645,
479,119,266,918,839,860,661,902,278,785,501,750,082,000,461,860,662,787,918,
391,203,446,615,423,944,236,826,965,731,156,861,380,107,469,137,600,938,629,
669,211,127,998,425,853,099,492,338,473,248,886,298,641,766,304,622,846,768,
412,110,514,896,198,975,819,558,338,759,477,790,197,940,042,862,108,140,221,
052,822,832,690,974,317,201,536,769,898,762,365,305,403,971,000,698,562,830,
769,171,114,713,813,972,161,030,734,781,269,615,937,955,655,622,204,380,998,
710,060,250,601,144,645,954,015,397,047,857,468,457,322,494,389,828,465,167,
855,894,173,258,696,410,139,135,838,691,199,251,284,865,492,835,140,879,162,
382,869,303,554,248,151,145,061,536,170,415,746,607,622,648,094,777,777,056,
883,344,132,485,217,554,248,190,866,622,459,971,757,142,290,327,231,985,685,
693,728,654,305,110,491,909,378,352,313,472,971,873,797,134,694,546,366,308,
121,755,890,130,619,583,303,345,589,218,741,592,301,568,188,511,344,854,517,
861,484,837,129,259,528,726,161,281,389,944,067,581,782,108,699,840,911,451,
828,257,866,237,346,167,293,102,542,062,279,267,676,047,818,329,918,028,206,
165,224,950,296,338,528,547,947,189,904,305,449,874,260,788,005,845,786,480,
026,587,741,569,137,304,429,377,974,031,569,504,706,050,739,358,515,172,167,
360,800,271,085,082,642,428,357,508,955,471,306,465,737,368,214,205,040,740,
036,135,320,713,319,071,427,366,243,473,723,901,267,439,555,488,835,993,206,
232,558,846,216,173,798,453,852,136,366,392,870,844,767,977,873,493,779,916,
405,828,717,071,354,705,763,805,419,132,908,745,799,707,170,025,125,561,870,
653,569,662,553,329,323,729,607,471,145,034,686,934,971,156,532,406,631,692,
563,707,563,093,126,197,482,661,603,639,715,602,804,459,863,463,256,632,691,
808,765,242,498,731,089,110,384,194,110,957,177,492,970,572,829,675,901,558,
428,271,568,444,043,528,633,133,937,132,506,477,221,436,345,642,050,867,803,
255,271,767,481,044,313,737,575,040,640,085,740,675,294,183,053,776,602,818,
152,510,447,181,204,246,483,656,813,647,645,350,457,844,490,350,545,830,078,
258,799,675,697,904,184,802,336,985,568,921,234,711,977,157,088,261,240,282,
524,581,325,622,616,254,186,997,344,485,461,929,218,554,032,463,040,661,619,
329,377,867,146,364,628,241,067,455,584,585,231,078,836,134,040,148,732,267,
654,152,471,963,617,801,248,221,162,386,878,197,192,888,910,178,209,768,324,
040,432,188,792,559,316,375,104,986,410,269,139,720,219,725,613,414,204,748,
512,236,632,177,624,854,367,082,596,535,009,796,345,769,907,377,906,445,684,
183,865,960,967,304,574,751,821,037,328,135,877,884,716,742,364,049,466,701,
670,648,860,169,582,962,783,540,256,858,435,675,529,581,096,791,295,402,095,
156,013,937,967,471,541,208,662,711,257,499,679,297,818,980,050,353,703,537,
318,844,277,799,171,198,452,819,494,731,464,851,149,125,015,758,382,876,457,
891,193,527,768,149,723,545,335,466,065,072,678,972,345,364,319,708,451,933,
888,874,303,533,160,931,085,785,899,195,287,175,481,265,241,012,019,403,144,
534,826,818,244,334,089,446,236,637,858,261,209,844,819,401,759,198,895,149,
486,955,647,719,575,928,813,729,017,250,984,710,923,925,202,993,780,583,741,
363,952,685,148,093,762,538,607,236,129,055,192,675,455,128,077,583,326,578,
133,982,256,285,572,240,834,647,789,051,893,985,019,003,340,437,248,030,033,
873,288,016,349,725,549,622,371,466,810,321,298,409,384,426,405,083,798,697,
439,323,833,344,743,350,183,828,798,388,485,083,703,382,054,683,456,953,880,
438,466,282,353,470,157,043,351,868,247,210,503,338,667,929,985,196,494,722,
512,632,741,321,470,769,019,609,329,892,317,802,216,459,149,992,370,641,545,
600,088,968,288,785,153,638,852,383,585,534,182,194,028,397,419,703,846,173,
907,447,697,515,389,690,542,522,717,772,983,839,784,027,163,377,337,050,081,
206,604,565,553,410,392,519,749,233,882,024,859,225,257,450,680,969,329,211,
946,108,946,725,658,508,442,695,512,803,948,459,719,203,578,577,685,638,397,
128,463,653,303,923,397,241,588,144,480,195,037,763,108,481,510,942,243,584,
598,690,264,630,739,810,217,755,465,202,090,716,593,127,635,128,718,891,602,
235,012,259,667,150,517,002,263,756,813,914,190,470,983,659,346,998,061,173,
997,991,856,567,801,022,028,295,621,758,929,039,069,146,877,577,435,325,884,
797,355,913,143,977,456,387,021,162,808,578,038,964,629,051,608,151,321,691,
777,674,680,120,361,024,347,905,310,417,196,514,320,939,686,472,898,934,327,
361,181,475,798,151,082,505,267,731,798,186,556,441,717,201,127,625,408,377,
536,588,408,313,987,223,388,383,147,804,775,624,050,653,800,290,021,733,773,
463,552,372,488,900,807,265,409,137,945,878,643,928,651,234,616,739,203,141,
129,952,561,106,410,702,992,977,595,322,475,954,682,894,274,245,061,972,497,
197,267,529,598,587,321,975,105,550,243,123,701,771,898,361,126,904,458,577,
438,687,791,302,722,615,811,521,892,204,769,052,703,622,203,148,483,940,503,
405,305,130,781,939,291,767,194,547,706,372,556,976,306,242,043,120,997,737,
338,553,343,965,737,847,087,521,396,694,422,948,169,610,111,382,033,060,535,
377,102,557,816,787,192,918,370,204,136,135,211,846,225,756,881,493,115,463,
138,499,536,897,732,565,126,981,081,476,566,759,724,637,849,332,419,783,661,
588,915,518,210,586,566,369,368,040,326,022,420,423,198,987,536,072,531,847,
081,499,856,812,444,953,012,417,060,712,898,097,068,611,244,555,906,185,230,
912,468,555,528,835,370,838,539,970,963,969,997,287,869,770,147,683,148,068,
626,915,033,157,416,257,623,926,256,080,185,072,736,033,791,860,954,927,731,
115,195,066,761,415,880,327,561,121,827,205,436,307,391,602,927,692,266,833,
094,003,876,135,602,590,150,736,149,487,980,792,662,535,057,648,477,925,857,
752,095,799,145,513,539,778,167,313,876,057,059,164,080,695,346,971,097,595,
657,522,717,533,882,521,890,870,640,473,565,056,935,985,833,943,520,473,698,
398,285,506,369,489,700,022,670,577,631,391,002,726,269,148,305,670,578,210,
742,556,504,649,425,213,919,824,485,205,848,145,789,143,281,054,708,091,690,
506,400,252,999,874,713,043,305,915,136,842,879,986,224,599,335,862,436,076,
637,148,779,144,395,582,064,643,491,707,017,892,564,380,577,308,060,956,672,
206,549,714,218,215,327,935,295,070,262,027,840,397,115,120,016,398,835,767,
277,724,303,745,790,919,648,720,093,275,134,985,978,531,487,251,134,852,872,
006,729,773,868,689,432,049,046,893,099,206,829,153,621,665,255,820,360,215,
422,041,505,011,643,431,710,654,167,872,289,037,324,010,982,903,713,674,103,
844,251,852,685,715,003,384,375,436,951,643,003,048,845,920,609,519,906,530,
375,033,765,976,659,166,023,810,098,135,501,427,730,349,890,887,186,118,048,
420,035,184,174,162,833,368,120,488,722,372,195,953,239,413,500,514,908,178,
855,541,291,518,143,023,514,688,956,856,799,923,766,227,716,153,307,400,290,
837,099,605,083,218,722,844,450,549,532,526,296,006,822,117,671,484,399,728,
779,964,679,173,793,853,043,712,743,423,964,209,359,599,259,423,966,718,498,
169,669,672,441,204,486,734,547,428,670,440,326,289,258,046,282,757,878,334,
926,481,763,950,860,099,963,460,727,200,941,696,822,243,785,861,112,899,950,
716,383,623,822,303,237,445,248,993,911,878,684,385,883,781,784,808,691,910,
483,066,869,030,760,529,635,874,102,374,607,253,406,485,881,523,763,062,400,
866,346,294,511,944,524,887,394,861,182,636,056,819,830,680,485,388,640,322,
704,534,760,167,170,984,829,377,521,399,493,725,156,243,740,510,091,442,937,
999,318,862,539,113,599,945,298,266,751,830,622,637,216,933,887,912,925,668,
165,588,835,297,375,515,253,117,198,981,431,284,864,300,725,592,864,419,565,
350,780,180,390,202,133,857,628,346,092,533,903,937,181,620,959,251,246,963,
491,246,971,829,428,382,278,439,818,711,321,093,730,713,207,045,055,313,445,
876,589,745,051,278,577,137,553,001,911,771,435,929,305,103,405,397,457,579,
878,145,869,861,708,636,317,902,136,498,502,443,338,177,689,920,538,335,935,
691,288,697,289,210,833,646,782,051,502,389,073,264,682,374,691,323,475,325,
763,699,717,435,116,428,582,143,777,993,140,923,068,999,965,184,087,214,748,
472,195,799,937,391,512,818,608,607,736,067,675,404,591,043,064,205,081,172,
199,737,533,664,990,702,559,346,783,502,407,234,232,097,785,665,077,211,232,
714,913,571,181,038,425,103,788,797,397,706,247,666,823,092,021,547,771,023,
269,164,271,537,737,727,632,489,366,356,850,975,582,551,108,545,673,046,000,
369,192,469,070,810,825,179,628,783,977,915,996,082,886,821,080,397,357,381,
804,677,024,570,105,165,691,994,985,763,045,228,314,632,482,099,132,593,505,
854,648,936,618,672,636,234,762,378,648,838,914,228,683,067,485,467,848,245,
947,185,372,286,977,910,202,435,883,864,452,659,003,493,961,299,128,442,461,
380,996,398,320,776,160,612,388,608,497,333,092,490,076,623,416,906,224,399,
137,515,473,548,547,570,010,722,987,176,502,053,281,796,234,637,268,028,571,
867,538,049,892,749,251,628,026,936,038,198,098,161,606,110,715,292,604,938,
673,856,443,612,302,942,177,161,276,254,399,145,322,752,585,075,001,637,347,
285,556,158,877,641,440,798,547,751,669,148,482,026,945,554,237,338,076,139,
108,078,378,229,578,910,602,141,252,305,786,815,999,656,162,925,265,739,044,
136,774,250,564,059,808,190,510,008,886,572,676,802,630,810,500,420,235,003,
192,738,289,627,384,906,493,286,029,055,555,909,305,989,659,746,327,861,347,
596,224,660,253,275,735,434,626,458,124,281,536,201,127,078,895,374,221,916,
078,138,782,028,149,899,072,868,890,609,316,688,257,502,466,569,570,562,676,
947,751,466,267,429,068,037,262,633,238,564,391,453,965,549,664,076,420,942,
468,612,703,894,777,045,153,256,018,307,304,613,099,913,586,028,436,178,718,
013,578,181,598,461,066,794,644,643,591,299,933,331,772,262,322,075,552,141,
744,030,783,960,263,874,384,030,221,019,793,299,795,479,513,982,449,563,390,
715,078,961,278,268,530,147,108,060,530,747,742,327,920,098,125,512,121,755,
372,660,888,127,310,285,455,275,080,289,806,650,842,178,717,582,866,436,939,
563,482,199,693,872,016,806,162,296,947,476,495,801,356,816,763,824,691,292,
378,158,905,846,298,862,974,079,066,114,675,531,478,135,845,209,992,942,435,
100,702,327,105,268,831,060,695,957,648,678,311,960,538,099,614,237,602,766,
257,472,075,839,124,285,424,920,999,493,894,864,741,625,437,888,785,577,530,
938,094,919,329,979,722,454,143,536,307,446,019,261,165,936,194,208,888,947,
860,580,380,260,167,119,549,642,946,603,535,481,904,343,656,728,270,191,025,
781,831,389,741,391,226,147,024,767,953,163,642,441,774,686,547,945,146,831,
158,155,428,180,762,546,319,703,687,416,136,309,151,550,355,498,213,435,941,
086,092,024,290,863,140,884,149,941,403,193,067,578,765,304,680,174,270,708,
796,724,518,060,129,372,249,606,621,833,040,500,438,901,037,913,563,052,318,
572,607,874,504,094,418,261,030,797,520,543,464,130,679,827,248,638,701,942,
453,271,724,071,426,210,146,276,388,717,426,077,465,732,244,272,990,522,020,
831,321,348,474,529,072,631,472,393,187,803,113,676,581,963,136,130,588,843,
969,983,406,053,455,433,507,648,332,539,744,384,594,005,610,609,193,503,157,
571,236,098,552,753,530,854,649,771,148,629,746,378,786,637,633,392,401,345,
032,913,145,414,729,329,282,168,731,245,084,226,889,792,756,596,371,918,039,
287,791,724,711,614,951,458,093,785,224,130,982,538,416,956,298,184,316,131,
268,022,231,602,438,903,711,421,519,103,055,329,278,681,932,915,779,353,782,
544,193,301,233,415,064,001,659,121,225,173,008,217,794,479,237,784,167,679,
127,685,897,692,704,014,437,182,271,039,821,920,261,296,250,483,976,481,694,
267,356,733,563,724,910,248,289,186,056,111,474,012,981,175,921,407,746,887,
687,156,034,764,951,011,723,953,457,619,553,861,515,810,038,617,219,728,771,
629,547,394,212,850,902,711,897,107,060,572,986,146,408,903,606,120,839,226,
652,520,343,922,168,378,251,724,857,962,801,020,475,895,971,568,180,405,335,
775,416,365,960,882,343,314,699,230,645,568,753,901,973,582,571,877,956,920,
628,175,776,580,020,262,062,699,272,270,024,619,756,608,504,137,139,674,374,
119,753,355,612,688,252,336,551,512,490,344,789,854,536,783,385,067,251,773,
115,700,831,236,103,150,580,117,420,774,448,274,808,543,524,231,459,687,745,
043,261,861,641,271,055,135,760,184,252,168,340,968,726,391,266,398,706,190,
244,915,852,703,651,542,558,191,230,529,393,293,489,081,421,994,761,096,363,
464,455,616,249,128,281,958,007,435,848,489,201,963,119,573,749,968,948,081,
494,341,829,941,282,426,296,512,501,467,083,076,071,442,095,821,299,455,238,
176,735,723,690,827,872,728,885,195,401,711,125,607,945,870,844,238,327,877,
303,576,990,799,018,524,272,368,032,503,318,636,539,574,024,452,554,023,495,
177,882,709,591,150,985,742,695,911,628,094,236,419,131,522,537,537,124,216,
194,375,229,827,070,435,065,831,758,793,621,429,894,054,442,184,264,742,356,
232,982,160,172,521,063,840,482,547,496,705,656,846,033,950,867,395,708,971,
939,035,268,384,780,760,858,466,754,340,608,481,770,064,854,257,828,249,455,
575,317,630,319,646,591,535,206,856,581,696,225,579,998,621,542,228,638,971,
215,208,834,155,429,415,102,271,554,854,970,562,611,429,727,553,629,554,333,
588,782,047,462,600,624,190,711,282,889,463,393,889,062,426,617,602,620,983,
915,274,025,347,225,174,443,310,762,304,400,002,545,055,387,892,181,934,570,
925,254,187,963,623,136,522,557,178,073,328,579,459,279,680,247,235,212,504,
419,383,759,082,400,472,207,368,877,290,215,756,814,062,438,031,934,570,701,
851,818,900,864,891,249,457,297,006,207,379,418,971,490,481,639,834,118,386,
013,531,041,319,198,225,159,777,307,597,316,216,315,469,259,529,767,267,080,
429,896,139,438,522,974,569,007,770,510,013,294,568,979,743,953,181,328,023,
492,218,321,548,421,017,958,934,015,432,105,940,643,580,966,973,274,418,527,
629,613,709,421,469,530,253,489,126,510,740,178,847,856,076,948,872,576,185,
495,424,213,281,915,887,223,649,845,582,261,280,202,950,099,916,577,852,364,
071,320,485,456,899,669,760,972,245,444,445,686,631,441,725,942,045,295,711,
752,943,650,802,218,317,800,710,969,570,048,575,140,876,015,358,930,813,883,
987,204,920,279,442,651,904,521,682,348,039,797,726,913,604,740,568,165,446,
308,580,139,749,428,201,026,069,489,971,824,870,732,413,554,264,157,291,650,
211,057,248,225,052,298,565,693,789,807,034,530,972,898,346,557,096,465,542,
961,652,669,447,284,300,318,814,012,066,589,996,964,968,690,100,328,682,276,
248,265,823,390,422,328,857,857,689,793,788,667,300,468,595,261,381,597,458,
097,826,066,162,807,302,970,906,136,224,417,642,685,104,592,639,983,505,607,
645,881,885,898,645,851,473,483,003,071,614,138,735,010,507,722,306,713,644,
147,131,924,049,423,625,882,551,913,488,549,367,217,742,839,430,819,147,023,
079,213,709,702,295,681,830,648,912,237,023,192,254,879,391,188,014,551,010,
647,572,108,835,546,157,461,670,599,841,093,068,158,856,453,057,335,234,202,
418,115,432,768,102,530,239,105,318,620,912,457,686,241,619,023,341,522,746,
114,831,617,923,888,516,535,852,213,328,798,612,210,727,908,107,582,691,936,
413,632,117,772,988,788,624,146,774,007,994,957,864,849,694,818,441,853,745,
738,024,655,075,897,768,853,107,252,497,515,274,870,037,990,288,851,126,315,
998,470,172,927,044,012,769,735,005,798,732,521,358,597,271,986,149,886,349,
353,596,450,485,203,115,912,652,447,450,304,093,576,472,635,350,017,082,616,
838,824,865,037,948,096,555,538,472,279,157,467,518,162,211,156,225,199,016,
514,164,370,328,321,893,142,665,381,071,113,923,224,192,901,183,414,681,865,
976,106,389,350,709,826,491,814,712,550,156,413,440,970,734,545,152,887,785,
251,435,447,678,558,445,214,283,398,526,350,193,094,515,829,282,212,625,462,
782,218,796,705,218,689,750,884,344,149,873,771,602,823,013,714,257,548,788,
497,540,011,288,784,181,862,639,203,580,889,203,666,419,724,172,105,424,293,
730,720,424,339,289,494,242,760,341,671,324,734,219,621,688,700,737,750,685,
140,875,117,126,430,575,823,853,140,786,763,526,284,498,410,527,959,523,416,
590,655,923,843,230,081,637,323,533,512,804,028,752,555,021,708,544,649,521,
186,603,063,492,006,039,038,844,944,151,656,471,805,305,305,253,401,152,707,
610,455,947,985,764,500,418,211,365,939,420,650,172,696,872,341,180,263,224,
519,279,067,063,965,076,998,971,525,599,253,989,473,913,975,590,696,965,533,
071,939,129,157,587,787,874,947,205,702,734,987,070,313,123,037,710,578,305,
929,763,743,188,251,660,354,809,347,031,920,853,700,474,456,619,697,444,449,
780,897,033,281,806,411,163,173,588,861,326,558,111,486,095,964,302,188,650,
779,420,070,871,014,118,597,872,043,436,726,975,635,577,254,900,284,452,553,
438,782,976,253,507,930,867,676,592,219,119,926,362,937,214,079,899,999,769,
793,163,957,617,897,043,389,957,210,143,528,270,373,217,137,885,268,579,492,
880,620,822,239,607,235,672,576,025,992,680,486,253,616,268,689,503,115,409,
966,697,168,707,077,498,840,899,864,535,636,133,690,706,007,716,307,487,625,
208,840,832,502,877,094,444,844,350,670,819,893,219,830,683,550,093,406,132,
352,339,915,391,936,699,533,913,161,068,340,577,503,377,458,131,307,492,627,
484,380,062,056,290,946,594,159,483,872,146,761,857,751,348,323,571,878,793,
151,466,344,895,528,069,184,764,057,959,855,223,794,707,152,516,953,905,603,
169,293,881,755,586,159,079,722,127,811,720,893,639,809,256,427,889,786,731,
794,622,908,454,042,771,348,419,170,232,113,414,591,017,966,688,068,328,823,
449,851,682,637,992,804,407,284,039,506,968,324,677,639,172,420,297,262,179,
054,767,108,404,320,071,301,407,537,593,188,173,627,193,997,100,230,923,149,
931,662,180,439,240,582,004,511,474,780,193,598,934,217,518,242,350,580,938,
467,322,564,367,587,712,333,732,473,944,488,608,892,081,995,584,315,644,680,
012,056,070,014,071,997,602,790,595,192,452,987,021,780,027,152,560,692,459,
629,011,576,770,696,567,911,119,020,688,456,534,531,309,059,679,430,309,507,
864,119,024,065,783,721,552,429,351,477,616,487,566,185,447,337,032,403,300,
720,668,497,949,735,001,236,462,741,642,705,051,832,393,098,360,575,736,572,
250,493,341,156,448,440,096,108,503,448,718,655,591,804,395,258,341,136,828,
908,023,936,691,330,322,375,007,985,426,379,406,872,514,182,338,346,431,695,
830,537,978,231,644,406,138,184,909,280,520,463,190,156,420,684,769,530,202,
239,912,427,922,424,299,753,246,894,186,483,611,383,482,034,257,582,146,828,
167,066,936,184,347,215,364,802,338,256,437,723,489,395,327,920,165,850,796,
888,100,254,751,804,162,598,977,529,801,902,872,873,360,424,761,224,862,747,
672,843,898,338,800,304,916,516,265,110,151,766,896,835,783,128,867,806,404,
972,962,642,523,130,339,145,320,492,743,185,395,312,641,511,217,743,678,260,
722,525,089,339,529,537,021,668,477,369,661,566,536,830,138,050,686,871,156,
047,479,840,267,244,991,178,353,235,432,217,147,553,247,213,826,928,718,605,
377,172,854,373,350,391,660,281,118,151,483,949,947,084,633,442,719,964,075,
204,727,809,097,243,116,056,485,261,384,350,980,510,864,510,904,495,869,682,
200,574,347,125,073,355,784,689,192,676,814,386,579,313,144,849,770,626,259,
861,204,147,193,907,436,214,625,503,608,120,338,217,516,700,354,038,275,598,
392,420,532,688,383,220,069,542,105,663,703,455,600,725,941,293,737,894,958,
291,415,770,848,326,099,111,016,911,630,979,720,147,212,507,227,096,295,976,
522,412,919,254,341,059,153,750,475,606,430,974,364,100,085,964,257,074,586,
678,307,968,205,510,504,237,847,557,967,571,294,087,694,057,103,669,954,835,
443,462,889,439,854,074,442,265,950,964,009,631,092,296,153,601,301,474,157,
153,176,808,039,598,563,938,448,797,223,339,707,169,030,055,863,281,299,512,
622,470,034,530,579,236,926,995,722,114,994,287,562,142,046,385,303,814,362,
712,136,182,574,186,252,763,679,093,970,244,948,299,903,825,221,840,389,857,
856,828,031,331,105,586,082,269,866,716,034,002,175,612,871,687,354,450,796,
353,666,299,945,381,589,602,891,219,893,370,884,078,102,478,504,530,145,966,
350,752,204,432,503,968,770,886,121,470,422,382,960,982,613,215,708,520,206,
645,538,557,794,941,258,656,699,892,203,062,970,387,792,732,597,404,659,896,
669,919,048,270,665,997,745,240,836,401,172,293,185,511,382,798,835,432,834,
447,485,853,832,646,135,744,209,057,046,888,543,484,776,042,806,540,086,461,
142,995,401,478,304,322,179,736,091,898,959,592,566,393,226,968,668,178,679,
038,139,412,182,980,720,108,980,945,399,975,400,391,780,671,356,309,729,695,
449,104,384,647,742,970,556,008,052,901,499,027,708,265,930,508,314,697,491,
709,296,909,972,977,360,253,357,379,485,827,608,999,699,516,685,401,482,555,
420,522,842,105,126,058,226,070,314,302,603,412,158,368,515,918,078,121,318,
441,383,972,125,233,854,659,932,127,835,272,064,904,778,410,407,614,589,992,
857,324,095,569,721,574,916,823,651,826,276,852,537,431,771,096,440,110,074,
560,971,444,745,434,668,684,171,118,606,185,849,134,165,769,325,341,667,788,
011,419,852,998,237,270,491,381,653,255,215,911,443,231,986,795,008,307,796,
040,553,186,043,237,319,228,468,520,530,720,210,466,320,281,000,564,536,880,
881,597,116,835,068,422,134,604,340,091,881,390,962,462,360,151,569,626,834,
422,961,055,940,768,966,698,835,651,871,473,524,742,852,177,921,843,458,983,
542,812,733,330,019,795,057,872,924,637,368,042,249,106,861,731,646,084,849,
930,641,076,352,551,378,250,118,463,794,849,167,172,956,032,869,913,688,542,
900,762,929,032,661,504,691,054,499,890,834,974,305,224,850,715,260,893,024,
145,474,916,379,374,485,429,307,986,836,176,731,898,281,078,807,503,642,517,
941,167,945,580,438,809,984,086,515,435,052,358,279,577,819,405,593,142,624,
780,863,071,908,108,990,369,920,227,345,019,049,365,362,602,747,145,018,924,
597,570,688,076,494,187,717,656,180,603,865,652,537,073,957,648,643,622,985,
099,261,801,763,146,713,570,908,863,418,932,011,059,573,337,390,830,109,955,
374,080,973,037,559,267,089,096,338,181,298,581,208,470,034,123,584,026,715,
499,299,135,141,162,944,890,585,602,927,286,921,047,709,428,391,931,685,809,
458,223,054,239,723,951,563,647,167,707,866,905,291,195,840,482,697,353,339,
593,605,431,813,387,853,227,842,260,743,463,813,882,570,793,717,108,701,003,
088,777,404,150,684,987,641,624,786,346,799,870,782,233,086,514,095,297,877,
755,142,042,068,705,584,451,989,028,701,720,187,385,160,923,523,439,272,828,
603,952,616,315,203,720,076,256,180,693,197,621,340,198,105,599,323,778,918,
365,861,378,040,484,604,753,905,131,421,378,776,349,575,933,185,107,371,805,
309,639,173,318,305,322,019,857,267,833,117,147,244,924,018,103,450,021,834,
138,654,656,054,424,151,020,507,170,810,486,949,845,968,377,977,347,871,514,
334,895,648,159,851,229,184,903,403,966,129,345,517,912,792,548,038,056,436,
217,892,362,921,314,202,491,225,487,777,526,012,962,705,348,802,912,591,676,
421,915,789,660,449,166,163,900,017,813,831,506,954,508,044,454,181,709,125,
671,701,182,352,529,686,534,768,794,044,546,448,417,214,869,250,438,652,631,
271,557,938,352,670,714,740,800,634,082,079,765,819,682,190,167,807,420,685,
876,378,304,156,258,537,960,041,749,044,433,941,617,518,775,226,291,198,023,
381,432,040,302,845,461,809,753,357,307,461,013,802,136,334,222,571,301,203,
024,593,219,222,033,210,950,141,727,484,672,709,382,480,224,567,459,008,356,
548,739,641,627,243,319,686,143,248,715,441,557,004,705,293,834,679,388,007,
285,030,149,558,191,253,974,439,364,361,268,677,941,997,161,603,366,157,354,
563,607,015,529,410,954,522,027,283,184,370,777,137,143,369,563,482,057,582,
452,887,205,919,410,170,463,055,681,107,205,922,952,986,015,419,373,923,002,
698,994,687,501,109,604,467,929,005,561,204,168,688,808,343,208,219,473,082,
323,526,726,826,928,990,919,137,637,290,379,449,435,298,190,480,202,513,298,
356,638,186,977,334,587,153,676,499,294,463,998,657,532,057,921,460,318,605,
754,890,034,682,531,863,685,979,353,023,405,993,752,000,019,969,952,977,814,
091,090,432,462,035,806,923,417,027,594,944,034,341,398,758,493,996,570,884,
485,369,880,284,083,607,414,117,181,259,886,165,327,789,049,008,199,097,075,
716,137,221,355,173,726,925,783,338,009,664,857,012,448,600,484,859,291,803,
748,190,644,223,363,769,835,210,096,791,530,948,795,588,502,648,576,482,835,
464,235,473,507,558,958,750,585,650,661,275,149,603,407,926,829,888,419,908,
216,352,026,783,520,613,850,594,028,517,356,671,778,150,641,625,519,061,446,
896,027,759,551,337,141,975,573,924,553,859,001,007,530,507,267,904,323,803,
618,722,286,596,247,663,681,514,798,607,859,444,092,809,379,377,914,416,651,
168,798,318,899,946,636,260,303,341,414,472,173,797,316,369,476,252,144,960,
118,797,034,393,504,953,336,264,676,152,713,830,984,864,995,431,629,747,255,
602,196,053,486,887,335,867,316,659,780,880,995,991,039,957,505,813,631,229,
975,830,076,121,658,993,730,334,508,311,423,186,204,685,736,670,415,771,836,
276,297,345,092,632,338,182,801,053,727,910,076,974,851,974,455,480,146,450,
689,850,374,838,158,140,553,422,363,104,284,026,282,043,731,547,787,098,557,
177,369,126,889,717,906,623,706,036,309,897,291,466,113,927,628,779,638,103,
064,420,551,246,429,472,377,090,781,788,853,238,517,697,818,675,704,683,325,
023,997,812,872,593,608,739,863,050,420,691,125,383,328,706,356,439,373,675,
609,505,405,582,995,022,087,171,156,475,895,864,434,348,094,703,905,936,695,
723,924,102,705,402,515,255,200,517,452,096,162,626,180,831,050,145,719,471,
670,278,299,997,495,058,524,405,705,690,490,621,393,168,738,351,850,280,851,
798,699,249,572,350,864,300,355,320,702,922,350,905,896,347,635,097,459,319,
173,217,048,504,959,941,103,145,086,471,329,638,981,090,053,907,063,538,666,
190,619,989,731,156,649,273,686,958,996,923,227,918,117,412,588,109,078,448,
768,750,994,127,678,018,773,225,423,325,951,068,545,934,916,649,284,314,660,
239,442,213,245,828,523,385,830,394,280,792,740,996,918,361,950,675,234,960,
156,656,029,286,865,247,424,436,610,848,832,777,050,646,246,838,647,562,549,
099,336,878,358,189,323,051,353,834,193,629,316,764,233,374,654,344,962,459,
250,278,596,152,357,751,961,644,287,435,040,265,184,196,586,782,909,140,115,
443,913,215,337,697,445,397,036,314,942,903,490,032,351,299,892,909,656,453,
819,386,494,701,519,531,549,728,222,298,981,697,203,979,111,149,449,196,393,
743,188,897,932,495,905,195,189,162,264,254,745,082,234,570,021,492,114,956,
331,774,069,050,659,889,850,877,672,352,417,426,197,004,600,152,610,369,943,
439,453,938,287,455,943,950,253,501,650,827,497,931,092,681,217,898,761,910,
665,738,707,749,703,743,123,049,259,852,218,715,975,787,591,975,339,299,664,
606,638,027,376,418,079,055,731,178,401,889,683,698,111,477,494,786,768,789,
332,212,048,538,338,866,234,507,038,190,383,291,428,146,397,221,699,622,889,
409,214,845,267,803,674,502,335,736,893,410,854,121,629,071,657,154,047,692,
522,712,654,580,368,978,476,647,653,302,120,211,951,292,426,119,054,532,152,
203,117,198,336,780,090,476,041,266,868,386,401,508,570,846,892,273,546,748,
849,034,829,049,257,306,486,484,052,139,352,480,668,813,332,103,144,436,590,
783,785,036,705,777,553,203,955,075,373,502,311,615,831,449,777,402,438,321,
029,540,087,731,158,400,703,030,099,350,775,745,491,133,605,029,247,767,315,
328,151,107,919,875,123,496,142,972,989,372,687,596,397,043,748,078,263,364,
184,042,452,112,514,862,154,554,227,944,954,041,027,051,645,229,109,014,310,
202,017,066,228,201,728,327,532,729,822,822,808,660,728,312,932,315,785,538,
581,306,875,980,504,700,595,087,089,122,933,527,375,444,918,743,202,955,136,
199,511,967,808,103,352,648,163,949,156,959,692,454,864,353,744,427,615,847,
557,832,570,983,190,639,684,270,935,747,665,276,933,017,703,243,768,759,734,
593,575,539,352,773,670,602,970,185,522,917,365,500,724,863,091,363,499,873,
476,731,919,479,412,977,920,892,923,870,209,833,818,230,247,732,272,707,512,
339,472,058,275,331,733,820,490,124,645,634,803,571,722,816,976,159,571,894,
255,613,591,853,473,592,300,965,708,944,666,028,393,392,899,666,092,142,365,
701,011,172,298,875,173,736,029,784,443,637,896,864,682,279,623,190,657,715,
538,475,974,073,950,203,431,091,419,610,530,442,602,740,859,475,785,298,968,
726,983,185,625,528,615,826,712,343,378,770,332,347,752,382,232,854,420,883,
506,395,736,464,017,547,545,058,431,640,808,499,086,736,425,718,426,269,199,
788,402,693,788,064,116,375,079,497,259,857,151,559,672,619,093,283,712,895,
561,011,465,827,747,445,332,210,918,498,067,668,533,697,905,740,310,945,235,
422,527,434,278,744,987,357,408,187,827,374,551,712,523,204,855,150,227,943,
500,008,161,851,462,561,841,828,283,883,247,594,025,614,117,884,747,740,305,
031,807,790,000,840,742,706,936,025,046,197,323,592,527,048,548,139,700,988,
551,916,888,089,571,297,110,383,204,586,915,060,133,121,381,256,973,248,275,
846,478,528,940,615,349,472,738,905,430,668,636,484,660,404,549,538,910,074,
914,384,351,064,157,117,543,724,164,995,965,027,410,723,967,348,463,197,404,
388,694,428,113,527,418,049,043,146,144,965,783,719,101,590,495,196,427,735,
934,885,047,022,948,171,078,852,395,627,443,741,540,970,807,198,492,125,729,
117,150,002,353,121,720,371,961,207,497,843,317,867,660,987,924,635,939,619,
899,981,369,164,181,693,512,289,165,404,021,236,945,756,070,976,353,830,577,
455,337,515,285,721,322,394,209,931,272,423,786,592,472,008,452,674,257,456,
417,001,638,910,983,526,335,874,238,833,047,533,826,936,875,078,837,221,614,
307,872,134,378,319,870,495,848,639,912,616,375,521,701,398,110,550,093,526,
866,260,395,589,457,970,429,217,181,655,474,071,996,888,737,823,094,376,094,
170,375,325,184,385,833,952,167,615,263,247,441,296,698,211,536,553,242,251,
825,206,637,175,992,787,133,190,827,954,663,479,139,605,175,957,769,057,637,
952,873,889,306,493,682,407,603,295,035,730,368,752,875,083,149,861,738,220,
791,150,550,884,731,547,137,101,914,476,100,432,910,993,250,387,320,837,384,
706,457,063,032,332,123,527,432,520,817,764,699,005,852,587,525,448,774,057,
621,162,687,633,632,702,728,519,897,466,651,415,730,712,872,725,345,450,133,
026,000,819,403,016,320,400,899,510,338,208,918,910,535,391,169,414,571,893,
950,998,365,561,226,926,256,151,373,104,039,663,567,003,440,287,381,433,028,
991,410,507,585,785,219,566,350,952,994,157,549,381,017,086,985,906,312,543,
379,390,119,681,635,607,328,482,048,249,621,235,867,127,992,657,667,611,476,
462,763,873,530,669,521,061,139,576,781,404,360,817,014,209,608,261,623,865,
447,935,236,444,911,333,739,942,180,099,964,380,308,617,887,184,649,623,420,
165,564,334,879,231,543,092,546,173,335,887,638,608,297,033,616,389,640,975,
935,838,723,428,595,319,675,270,069,759,582,104,057,684,076,706,161,567,029,
067,078,487,757,182,885,234,174,465,203,197,573,194,779,230,151,614,539,334,
737,623,526,995,889,916,688,750,263,142,094,981,919,656,621,595,835,127,265,
675,884,734,540,555,762,802,860,414,160,849,050,115,676,900,910,882,117,614,
199,353,845,307,139,399,777,773,108,351,578,123,201,396,790,521,918,629,721,
372,796,104,909,113,696,852,444,300,529,971,285,918,668,037,874,702,494,618,
583,941,608,124,838,918,194,326,361,448,134,423,806,278,776,212,336,232,285,
790,650,832,923,360,762,007,315,404,333,028,706,019,566,231,689,330,020,531,
815,732,960,724,035,552,011,298,007,340,851,500,941,002,689,533,771,355,541,
298,454,269,591,386,586,922,239,186,498,631,964,438,568,923,270,940,265,029,
954,495,621,124,584,651,891,669,239,219,613,102,018,165,654,627,957,134,843,
590,525,694,034,939,068,757,117,393,081,725,552,825,042,246,773,004,615,018,
208,206,644,878,300,953,143,036,097,830,972,212,619,667,345,634,847,354,216,
906,521,193,984,902,664,409,408,135,192,072,950,524,107,016,100,512,646,313,
450,829,869,188,760,293,610,107,638,310,250,134,764,874,745,421,069,980,282,
711,877,556,862,886,264,442,250,407,743,343,675,425,035,762,134,997,653,229,
516,883,698,062,883,318,438,635,656,889,624,860,561,955,556,395,989,092,778,
238,135,453,987,673,710,737,489,884,837,432,814,474,189,457,353,608,214,772,
060,250,323,683,718,088,712,202,602,122,910,999,779,640,987,213,072,657,753,
362,558,861,551,336,571,544,119,443,461,097,901,046,654,876,279,851,431,960,
398,164,784,411,694,961,915,235,399,415,295,650,769,776,632,952,170,496,869,
066,056,763,362,539,496,764,604,255,998,723,403,211,787,393,723,038,843,872,
824,461,842,127,349,852,235,102,816,545,415,932,132,484,727,521,206,124,961,
644,331,540,928,522,368,127,632,180,841,612,439,763,906,328,237,769,411,214,
714,100,543,114,080,021,557,000,445,647,414,953,105,399,084,707,028,442,630,
911,445,745,443,216,956,826,596,759,943,181,934,003,364,061,061,924,402,927,
695,491,688,070,528,453,785,209,537,261,273,169,222,355,489,953,779,674,254,
364,650,852,930,678,062,781,264,758,452,388,308,507,545,479,228,269,752,436,
667,627,777,261,530,295,940,843,704,849,143,949,034,881,492,029,077,613,509,
965,065,806,393,968,366,114,900,976,093,276,537,342,613,132,045,666,276,114,
027,546,845,013,957,555,523,075,039,987,004,315,050,822,291,522,747,336,357,
969,259,184,767,498,573,041,545,369,625,051,579,665,742,888,466,761,609,715,
631,732,243,468,817,865,703,210,860,789,854,510,414,040,182,148,541,746,123,
022,327,248,268,246,282,813,955,174,177,299,900,241,247,610,527,965,502,472,
967,425,768,616,442,706,069,304,208,713,794,029,186,928,114,805,370,432,431,
372,747,566,804,097,232,500,813,289,516,138,511,053,145,180,662,782,993,877,
263,475,668,309,315,614,435,691,333,385,818,514,200,342,080,879,584,561,925,
992,442,754,694,617,480,553,176,011,235,179,828,940,288,912,907,474,922,819,
995,393,553,498,695,242,331,496,133,907,528,471,331,661,234,182,898,409,412,
294,984,799,818,022,507,581,864,260,775,908,925,365,517,617,682,967,286,213,
785,646,438,948,195,867,090,408,864,677,923,776,661,501,121,737,788,311,021,
379,210,685,581,637,865,769,881,079,424,876,984,549,283,081,028,217,363,117,
558,786,549,101,795,950,238,425,121,262,405,400,980,490,669,856,690,647,955,
586,190,193,534,976,067,200,429,495,433,157,167,755,059,770,963,765,455,780,
976,408,057,195,900,892,529,089,125,440,818,595,907,382,074,794,639,403,510,
914,060,692,414,848,324,219,562,338,398,695,067,795,539,508,726,650,485,079,
802,880,081,734,516,627,837,689,063,755,911,250,168,615,803,570,276,879,734,
093,731,603,653,485,795,907,707,065,524,677,127,817,502,695,256,477,131,320,
503,096,724,417,043,712,407,511,896,680,119,402,826,861,849,580,483,363,880,
284,422,129,912,673,128,628,472,683,982,554,699,226,881,389,688,109,843,689,
405,075,508,055,334,977,802,953,302,903,050,549,949,046,846,264,668,358,599,
390,009,279,294,186,351,477,522,696,458,313,503,560,657,507,223,034,510,997,
294,718,710,346,325,404,490,824,193,867,710,965,086,203,319,724,667,641,853,
498,193,012,069,911,240,051,118,308,303,042,350,651,503,077,963,632,420,200,
689,691,502,642,901,521,813,666,022,846,219,935,996,683,582,223,378,694,690,
790,094,243,356,181,761,719,201,282,021,088,740,136,967,767,013,399,884,426,
097,952,970,631,160,746,831,392,986,749,497,159,541,041,496,425,496,405,105,
753,022,750,292,579,438,648,534,213,476,916,286,677,829,420,774,611,215,125,
770,467,964,897,331,946,054,776,476,268,595,698,942,417,450,508,444,300,783,
438,498,031,040,924,850,108,335,863,652,106,103,959,627,495,456,869,806,511,
941,809,924,658,773,493,377,091,157,225,640,001,521,020,239,845,948,862,302,
789,820,241,280,778,541,163,908,620,247,393,581,255,993,048,842,983,755,032,
563,557,800,620,560,237,605,324,236,021,887,396,788,775,860,601,266,903,816,
433,064,361,027,814,782,195,147,648,086,844,705,455,680,962,947,596,837,246,
604,174,442,545,358,351,585,001,217,132,820,128,099,378,293,443,075,523,863,
134,315,264,981,501,324,704,778,407,154,978,722,767,087,888,383,487,193,271,
553,560,960,025,553,973,334,051,969,578,577,934,685,302,997,140,633,684,837,
724,271,138,546,098,846,602,946,418,949,205,813,731,128,403,286,322,056,987,
352,841,404,511,923,998,722,171,975,139,340,507,106,510,722,258,516,253,395,
916,066,243,894,261,157,353,703,632,226,592,151,849,472,937,007,841,937,628,
403,257,819,567,242,139,190,795,492,866,768,995,509,324,857,878,138,132,019,
895,790,934,925,162,785,900,839,261,325,133,011,765,822,548,880,476,922,407,
146,313,961,032,446,667,662,050,410,490,517,765,442,708,795,545,747,370,235,
222,592,481,637,297,064,693,999,567,462,833,239,163,573,043,635,364,030,639,
493,075,449,927,837,442,415,127,677,914,039,681,040,486,116,795,963,367,630,
341,743,577,362,349,077,426,347,065,237,697,151,450,252,739,464,740,421,648,
531,563,993,304,957,720,462,801,625,353,931,841,957,641,232,353,914,929,214,
514,058,620,423,472,755,249,820,004,900,344,803,355,980,125,697,735,739,997,
254,642,700,513,051,345,935,416,476,444,199,162,440,585,605,861,998,814,910,
704,523,556,429,186,006,298,718,256,855,088,815,762,981,837,783,751,069,719,
942,389,432,252,594,336,081,308,348,472,299,372,742,695,883,523,422,488,308,
621,326,885,810,913,652,132,382,789,071,966,901,574,426,538,513,290,127,654,
649,428,476,456,801,860,712,486,867,341,865,711,346,232,043,938,129,402,211,
909,549,979,814,244,726,725,121,857,975,612,293,172,802,978,942,369,467,248,
221,451,214,346,605,213,255,466,859,206,514,640,987,711,201,992,410,411,717,
352,318,365,897,727,234,735,233,808,732,249,795,462,266,208,058,995,153,760,
549,630,939,859,792,167,344,795,203,487,691,213,577,480,716,237,431,767,937,
306,937,835,276,539,794,799,098,555,269,663,689,899,656,560,010,285,004,986,
497,169,354,448,769,210,351,764,649,673,021,960,130,383,114,391,469,398,655,
204,544,695,508,732,657,115,897,968,205,436,636,296,495,417,513,187,484,555,
243,297,640,071,486,059,212,009,467,336,485,428,344,887,771,172,232,701,073,
787,786,730,653,865,642,964,421,843,312,514,549,044,880,652,017,871,654,069,
124,130,789,566,639,520,253,350,327,406,085,731,430,066,292,933,253,637,951,
890,320,450,729,165,474,504,305,116,029,271,937,557,813,909,545,259,175,213,
095,209,732,195,247,140,390,913,779,808,228,694,598,697,597,884,291,395,877,
157,568,610,969,358,110,823,108,683,882,863,957,432,919,212,435,210,410,438,
905,889,242,957,864,847,040,640,603,391,623,245,105,289,984,101,550,370,990,
317,522,409,447,729,089,891,350,813,001,506,835,603,690,215,731,601,980,929,
006,680,950,036,865,646,760,392,302,323,703,879,393,442,443,005,592,103,895,
763,646,913,721,202,619,773,011,307,034,176,329,072,359,600,500,053,353,841,
216,047,383,637,974,687,275,829,661,429,359,629,829,454,925,234,489,751,904,
970,414,435,997,164,759,697,758,694,781,601,354,626,405,538,020,326,485,767,
206,642,462,123,426,994,560,225,774,622,145,697,522,639,578,161,698,530,819,
488,155,413,402,995,287,344,370,208,254,772,210,518,789,724,092,998,149,186,
259,367,866,210,439,497,632,473,189,143,529,483,255,691,579,561,791,583,626,
841,754,321,853,285,909,870,489,717,616,934,596,103,771,054,026,075,723,403,
640,088,431,330,044,004,144,618,503,283,631,282,062,318,870,497,129,863,476,
639,087,795,419,305,066,099,109,093,649,495,910,640,852,534,585,875,943,052,
192,674,009,687,545,251,487,487,560,407,449,312,535,250,762,456,770,334,682,
887,501,935,374,791,246,929,385,633,822,223,185,088,565,669,596,414,954,525,
587,590,390,342,293,954,091,349,784,215,956,830,982,234,599,376,043,247,362,
957,374,186,602,657,174,910,164,181,204,885,762,502,674,963,414,091,907,127,
979,516,092,046,531,481,373,084,155,509,243,974,010,604,163,977,416,120,469,
422,590,770,321,068,674,667,767,945,347,630,391,442,987,577,268,313,976,917,
584,809,196,400,958,287,500,796,410,016,963,440,479,443,846,849,789,785,293,
970,197,423,379,992,445,869,899,468,598,569,731,390,506,305,632,254,842,133,
049,102,500,406,161,493,613,987,422,771,856,924,231,092,768,499,113,112,590,
851,943,392,334,928,701,338,975,633,209,729,859,747,206,230,250,945,742,397,
213,396,757,309,242,497,989,311,997,987,624,135,816,487,655,208,994,332,235,
514,913,564,492,221,300,326,496,107,190,555,657,568,281,216,469,182,051,511,
664,359,657,475,616,274,117,095,085,430,732,368,929,578,072,513,410,876,162,
372,401,987,540,525,358,410,002,496,806,388,434,871,337,427,005,772,575,094,
582,288,238,651,414,225,223,127,554,103,842,504,895,681,296,414,012,377,075,
870,832,230,922,737,330,539,516,082,398,735,870,458,949,870,389,527,855,401,
346,643,253,338,569,610,735,224,970,014,717,016,004,716,228,273,793,770,843,
352,386,313,608,723,566,340,394,847,411,445,958,490,994,764,093,780,192,804,
376,169,718,694,066,468,614,111,424,173,162,000,697,302,979,834,675,846,700,
815,802,959,968,266,881,295,244,178,019,805,200,171,454,642,672,547,164,496,
564,445,986,532,982,634,533,303,991,112,982,919,921,373,870,181,986,433,300,
337,000,091,150,819,631,753,882,517,855,272,588,692,183,730,845,930,503,755,
689,787,466,525,646,450,277,682,981,226,876,142,786,433,268,807,320,883,086,
057,607,752,473,650,985,832,013,108,979,402,039,744,236,300,975,864,677,478,
691,106,277,144,702,789,445,528,671,588,933,248,316,850,113,874,314,980,069,
543,405,096,449,238,663,406,865,603,836,388,063,201,597,589,582,940,797,132,
594,673,478,366,192,126,985,826,762,122,527,205,970,119,894,118,491,431,922,
837,354,994,025,865,979,753,032,142,848,772,483,854,701,885,058,386,684,206,
211,652,423,873,460,090,408,756,700,806,005,236,850,708,716,732,707,909,641,
505,656,056,679,118,668,472,369,478,430,707,884,330,831,963,653,866,129,286,
558,095,142,266,669,373,751,462,533,805,895,074,170,599,577,400,155,199,833,
508,631,184,029,060,572,535,330,889,125,976,387,291,613,689,990,214,371,793,
684,508,322,032,571,325,038,585,929,175,654,337,767,122,507,526,132,321,801,
094,950,006,935,017,346,791,060,364,850,619,031,179,924,979,536,027,102,152,
761,542,040,106,505,471,027,476,240,118,402,955,447,154,251,271,978,673,587,
925,731,980,212,803,468,922,892,510,391,275,681,886,516,976,259,531,939,635,
396,379,956,228,644,534,406,755,483,384,178,658,848,327,308,859,739,527,577,
923,274,586,176,214,549,761,066,544,583,954,358,645,569,428,526,454,567,402,
908,021,134,299,034,380,773,209,141,918,748,882,434,300,009,594,420,757,259,
914,240,820,496,663,837,097,125,174,947,928,206,351,727,164,886,862,674,270,
862,171,079,101,941,683,554,552,345,733,866,935,442,352,014,257,149,151,373,
304,807,753,236,937,786,783,757,090,157,300,313,833,871,558,455,560,064,361,
816,589,237,597,527,013,695,705,158,029,033,111,581,830,813,023,592,249,277,
251,142,753,269,477,677,614,950,890,523,907,506,500,130,760,248,023,339,726,
004,088,851,017,548,218,749,269,613,352,667,750,137,619,171,030,033,013,495,
143,631,909,935,691,121,589,640,615,006,735,497,657,313,823,499,926,555,367,
802,906,730,315,800,321,893,821,622,044,474,313,575,096,264,974,810,554,080,
054,525,489,524,523,029,388,493,693,838,328,294,962,376,804,327,490,309,830,
321,416,685,299,122,925,070,714,042,843,595,032,173,784,764,492,579,915,107,
661,064,393,436,773,530,593,930,945,288,699,827,502,351,066,555,364,524,033,
782,357,150,104,290,007,211,159,696,847,712,632,340,706,807,913,580,789,462,
314,454,050,466,597,618,043,243,124,700,726,729,863,064,340,658,138,246,575,
256,537,914,934,347,728,488,953,165,811,749,089,887,276,353,485,089,355,154,
830,202,236,892,285,352,236,407,590,112,456,585,063,266,304,505,825,714,343,
306,950,601,493,355,673,758,251,784,624,725,191,184,591,744,667,805,061,895,
673,609,492,510,848,942,040,795,817,249,104,555,150,062,229,393,343,285,702,
227,316,919,483,545,908,689,192,393,670,161,071,425,067,199,072,670,618,101,
802,724,156,929,698,960,379,934,604,425,876,654,051,715,129,020,268,634,199,
441,546,915,144,348,135,930,807,297,323,467,532,292,333,670,458,035,652,255,
909,615,349,627,721,678,336,756,256,742,323,608,048,651,180,289,657,717,477,
889,571,577,500,875,976,982,288,819,114,686,830,228,297,493,357,020,532,474,
373,188,961,693,831,053,244,072,409,856,194,810,127,739,718,761,455,776,951,
104,938,093,889,109,146,591,345,807,282,781,562,877,345,050,185,285,804,213,
539,208,154,681,080,857,868,190,591,078,450,648,788,364,770,522,929,946,506,
332,944,476,689,250,733,828,058,676,204,624,238,274,907,487,835,635,218,257,
691,171,643,742,811,424,263,939,653,327,550,130,001,933,536,539,188,136,654,
069,198,041,267,318,007,702,194,210,346,440,830,762,928,200,988,792,700,966,
476,213,655,380,300,739,194,385,140,887,308,881,351,290,513,691,396,482,182,
422,523,321,422,547,136,997,371,743,924,347,023,307,078,237,372,097,785,566,
443,983,264,787,580,160,009,077,017,722,099,049,033,406,981,484,790,646,015,
175,983,699,535,270,183,479,682,726,923,838,706,973,542,486,522,321,807,048,
533,222,245,677,591,704,019,061,934,953,716,762,175,389,711,126,771,061,766,
367,671,074,750,197,046,146,097,399,036,188,029,702,422,240,067,805,096,053,
999,556,820,463,589,507,727,685,505,365,303,384,676,971,714,562,559,325,973,
766,242,458,819,020,807,281,414,232,377,660,248,551,245,469,218,351,196,155,
532,128,742,622,354,725,876,571,645,688,125,871,716,960,618,237,628,246,589,
517,855,877,435,169,978,817,910,982,876,311,952,145,372,579,456,615,927,738,
223,966,605,543,979,531,409,974,863,276,515,676,723,767,435,416,434,455,207,
477,857,582,153,624,070,777,921,313,996,566,452,058,850,206,409,683,441,148,
500,017,837,334,422,786,748,580,423,190,884,368,099,642,280,637,197,098,073,
238,453,133,133,800,889,134,958,559,582,443,871,497,329,270,516,625,200,846,
074,877,651,240,584,843,159,753,269,439,830,488,644,964,415,632,365,977,505,
608,358,829,203,961,092,996,456,102,215,290,649,185,787,201,653,184,345,086,
118,995,863,871,163,368,111,351,411,654,911,593,192,427,141,024,001,827,078,
351,382,545,224,725,925,664,031,729,133,744,910,847,650,911,069,399,506,810,
967,728,616,718,251,305,491,072,301,065,040,581,339,029,036,259,137,966,888,
784,522,334,378,568,493,052,208,797,719,206,386,173,470,270,053,431,779,752,
785,309,463,939,379,844,486,416,962,781,989,184,829,725,345,853,466,805,541,
412,308,840,624,063,527,488,920,625,739,507,584,868,872,621,830,863,331,238,
948,447,448,732,449,697,372,576,693,482,341,478,808,899,467,233,362,289,964,
595,117,492,569,327,536,265,918,268,438,727,197,047,261,424,575,715,334,578,
562,747,275,643,590,067,457,524,516,057,285,197,859,020,579,068,464,833,961,
554,810,006,878,172,533,682,261,274,034,353,268,496,561,333,627,319,367,430,
873,023,805,693,157,133,107,941,438,013,918,926,156,636,638,168,831,089,954,
029,477,460,757,813,443,374,774,662,257,702,886,674,204,320,042,274,292,927,
635,352,283,467,339,048,948,314,976,330,443,605,638,634,564,585,025,670,373,
344,487,801,098,642,152,256,805,777,935,836,016,498,537,859,156,726,818,721,
827,399,099,265,803,752,973,183,220,146,225,659,577,936,602,490,355,142,467,
045,292,780,472,290,009,905,004,948,342,365,614,039,685,883,820,607,813,717,
095,166,227,029,383,068,007,122,185,968,692,733,882,942,900,405,916,438,320,
241,185,835,475,106,880,933,852,136,063,149,860,679,675,674,634,365,523,088,
126,710,322,876,192,698,860,023,200,254,308,714,633,692,429,552,136,443,160,
474,405,713,811,338,830,807,287,244,638,649,232,305,742,312,294,465,642,964,
102,002,714,697,366,982,842,464,759,612,299,908,240,119,547,613,537,520,307,
223,520,955,023,018,734,052,936,181,373,558,714,411,816,600,338,206,657,741,
099,539,626,897,343,257,549,197,174,359,939,858,396,091,128,541,347,682,799,
413,077,354,572,937,700,553,131,170,485,774,118,239,429,615,899,990,408,131,
192,726,909,082,276,541,996,648,879,085,600,108,380,948,010,097,376,964,415,
004,736,680,149,582,410,475,117,729,192,854,409,298,123,842,924,392,844,850,
952,306,254,481,906,789,692,326,347,190,487,630,378,289,215,455,713,383,266,
895,420,510,533,272,241,801,843,594,296,198,792,620,387,482,054,858,794,420,
723,827,343,324,658,284,076,745,405,218,969,626,974,307,917,930,818,802,564,
648,033,671,655,069,914,006,064,829,402,931,518,927,942,677,894,146,618,969,
513,926,998,608,847,141,824,532,591,032,016,568,709,813,530,320,734,873,745,
786,474,161,835,256,178,393,093,131,852,163,688,057,421,607,149,377,730,727,
208,077,125,432,646,523,852,334,080,300,367,743,706,253,191,590,883,107,145,
603,807,209,703,098,175,360,365,362,940,951,457,255,656,997,408,929,390,515,
045,082,799,284,432,030,518,342,523,218,855,786,219,539,542,485,339,520,960,
197,290,556,127,653,990,733,918,618,911,220,665,800,886,894,763,493,029,795,
421,411,441,856,389,150,068,642,609,562,405,564,961,089,439,127,586,121,545,
368,102,232,516,166,511,894,576,440,734,707,796,456,852,201,470,225,764,285,
533,559,934,113,640,661,846,457,995,341,626,897,602,221,284,979,303,009,246,
021,600,315,687,616,003,677,805,037,411,503,632,771,760,003,215,822,413,277,
434,798,799,345,781,045,707,503,012,605,036,368,381,889,963,000,786,329,307,
424,300,245,564,229,415,940,775,354,451,791,640,376,537,112,549,590,778,392,
470,938,624,190,085,532,487,245,133,503,518,324,612,086,304,005,848,855,846,
662,541,869,670,391,628,910,155,903,755,373,953,496,271,071,964,653,110,883,
301,668,628,187,141,891,659,890,554,033,643,017,033,044,044,189,715,120,823,
037,081,896,615,556,481,621,484,547,454,000,819,302,372,176,613,976,854,100,
443,175,556,834,188,344,713,245,555,805,351,990,635,936,641,183,287,268,899,
490,787,816,831,345,770,360,126,907,400,396,862,786,835,482,561,747,445,847,
676,341,943,865,117,184,050,326,709,516,405,410,921,802,992,606,888,761,046,
160,914,522,958,361,179,380,572,615,268,743,708,028,705,934,458,760,560,560,
337,434,052,485,331,253,949,872,156,659,886,291,580,736,927,629,677,420,333,
979,304,461,350,974,728,308,310,375,631,326,781,883,917,296,242,109,549,454,
371,350,551,456,340,820,686,268,589,759,010,863,590,800,399,813,638,550,676,
648,572,396,133,703,937,586,827,380,890,713,676,520,846,871,093,488,400,816,
892,026,866,792,585,951,759,463,389,548,595,518,855,114,875,550,777,652,445,
092,971,199,036,083,275,779,180,018,937,545,876,991,133,100,768,073,686,767,
597,937,803,678,825,247,145,221,085,966,853,020,821,972,614,000,313,326,624,
210,653,172,604,352,633,418,620,415,927,561,480,264,491,235,336,507,949,851,
828,596,849,479,388,517,878,123,420,584,132,137,176,392,530,227,356,243,495,
102,592,149,947,878,695,196,708,557,464,446,139,409,230,987,320,249,896,379,
257,748,157,231,581,302,653,010,156,630,713,412,383,865,561,679,410,914,502,
952,095,996,637,535,377,703,655,609,164,546,148,084,368,883,137,727,394,503,
562,297,644,466,556,135,723,837,400,266,727,427,010,866,798,110,655,440,319,
447,909,587,190,579,315,086,634,197,251,092,223,778,622,630,216,399,740,964,
120,607,920,334,147,421,508,902,375,998,103,120,474,020,288,335,844,534,565,
377,356,398,790,342,635,028,396,685,643,024,644,335,547,272,942,277,390,087,
466,047,700,247,073,862,296,627,640,298,551,120,032,948,609,150,245,361,772,
052,061,057,904,500,786,434,922,464,546,472,731,917,489,298,858,457,401,063,
963,590,736,753,843,438,334,295,883,920,440,089,354,159,135,742,310,195,299,
171,245,468,422,650,318,673,421,563,058,008,521,588,302,267,111,175,977,717,
795,247,068,704,349,950,976,295,982,959,434,297,882,882,692,890,259,113,056,
507,903,078,499,094,063,228,830,785,069,763,283,521,022,593,618,427,307,053,
186,355,991,132,150,471,751,669,204,372,585,053,586,931,497,819,968,631,243,
100,560,296,382,879,862,749,837,098,825,217,984,826,386,635,926,088,771,152,
439,246,161,252,468,367,865,395,022,387,873,434,733,979,003,741,577,181,887,
073,285,768,837,326,838,104,556,606,700,091,814,655,931,959,722,692,009,225,
832,273,332,162,865,128,112,199,965,034,909,530,355,972,962,310,098,922,446,
176,302,684,794,337,377,493,945,497,431,128,544,333,506,411,605,311,972,334,
875,096,584,900,697,416,118,695,229,530,511,719,303,943,031,962,864,176,661,
782,505,456,097,632,619,544,067,525,905,452,110,768,902,874,119,739,568,139,
440,755,863,165,799,227,160,932,203,768,436,547,311,067,007,722,427,353,634,
393,358,030,942,916,139,971,059,518,894,305,996,394,279,266,163,180,566,590,
883,246,890,023,815,068,450,457,956,434,356,653,466,012,641,355,228,886,129,
017,117,480,044,305,321,138,414,424,545,885,530,925,380,907,935,871,556,105,
229,851,976,463,368,480,561,480,112,918,891,279,745,092,658,516,438,288,199,
622,945,328,233,793,881,380,837,041,071,479,221,376,636,285,974,507,418,799,
947,068,755,971,496,149,583,576,666,185,747,917,702,218,818,946,421,213,394,
875,092,885,290,603,735,052,752,193,668,740,974,084,245,498,536,580,098,059,
061,199,803,542,278,671,569,670,806,637,073,544,381,273,237,938,174,736,153,
747,183,894,776,655,746,171,445,541,207,627,815,981,790,932,783,585,715,649,
738,620,845,142,015,934,248,867,223,782,292,910,009,926,738,171,894,220,129,
421,137,594,595,144,634,211,572,234,155,629,078,096,358,944,139,942,506,389,
151,330,933,926,815,108,659,289,793,150,453,880,443,731,472,375,917,406,706,
759,667,813,911,540,719,502,123,045,008,356,332,829,670,470,736,103,342,047,
773,873,649,659,309,649,401,343,688,827,925,407,644,507,567,985,013,923,494,
520,801,710,677,145,509,504,959,171,231,444,807,965,470,069,911,775,532,187,
450,048,071,260,617,602,817,329,847,324,679,274,080,187,286,528,246,651,195,
674,582,042,995,922,297,676,204,564,378,764,657,205,064,198,751,725,203,841,
542,046,010,614,566,215,213,018,315,242,836,021,023,595,876,991,340,410,645,
548,291,533,833,871,489,848,160,065,707,042,393,049,142,857,884,289,310,751,
769,163,552,106,748,688,282,692,106,128,186,148,386,509,299,115,007,491,455,
039,724,987,020,617,865,578,598,353,465,185,087,346,671,107,830,340,417,860,
782,002,513,621,619,729,162,015,078,558,046,946,309,233,746,169,393,012,544,
654,345,943,681,542,538,451,489,396,287,456,187,679,336,438,280,126,624,423,
783,888,188,047,159,228,339,692,643,982,249,354,177,809,393,846,177,367,955,
220,437,580,354,479,068,214,671,263,070,869,262,898,533,863,250,255,362,832,
618,179,940,681,732,277,831,083,596,726,396,941,021,517,666,868,226,165,639,
449,468,765,192,477,586,453,349,255,385,823,998,963,598,543,252,641,602,902,
384,435,564,675,443,807,234,337,118,546,319,465,276,024,732,628,330,415,727,
894,118,549,886,120,280,833,413,265,683,681,668,587,845,954,969,782,518,802,
919,034,928,047,429,924,978,170,008,689,109,817,160,433,834,293,061,287,612,
263,693,868,254,161,718,617,899,374,031,942,552,868,619,914,094,306,568,535,
132,268,032,252,426,093,133,468,838,328,163,813,126,609,990,251,805,599,190,
305,179,326,989,638,196,253,680,534,022,990,455,341,514,503,194,466,450,470,
529,054,591,960,329,464,474,993,636,522,868,853,115,206,092,482,990,320,744,
296,343,683,080,319,286,271,640,798,725,722,338,745,839,394,783,574,010,557,
396,351,409,887,205,492,532,494,488,899,676,807,360,595,351,972,298,401,065,
788,243,429,643,728,269,876,082,991,098,868,638,147,974,453,016,967,078,160,
197,344,182,575,762,311,483,112,111,249,237,724,194,351,420,619,586,193,179,
901,291,684,142,108,423,073,493,208,981,754,848,830,840,973,294,155,730,387,
361,763,974,375,632,132,839,863,875,075,881,485,633,188,748,564,046,234,345,
048,426,380,721,469,293,052,666,602,104,891,342,187,115,033,227,481,405,406,
039,496,525,942,825,976,060,615,970,614,906,243,489,558,853,434,577,734,549,
922,450,695,894,227,052,644,754,324,992,181,546,583,611,142,935,232,672,864,
843,568,990,046,351,666,319,248,996,207,936,105,107,344,190,889,638,523,858,
921,913,839,618,285,019,003,043,195,059,779,303,825,151,862,505,296,524,315,
748,927,191,533,888,409,901,726,452,526,881,966,076,147,735,828,412,597,432,
600,859,034,538,056,742,350,251,600,382,368,435,032,616,545,737,737,254,086,
075,152,864,559,917,075,642,275,941,930,061,592,672,644,112,447,502,458,419,
373,596,474,186,699,811,446,841,541,702,481,753,318,832,657,141,939,138,144,
967,284,182,880,234,011,678,069,089,951,163,693,466,468,466,835,706,854,621,
836,940,323,903,429,336,767,574,072,201,932,800,003,623,392,131,645,072,183,
788,200,562,517,615,457,372,770,972,543,336,902,988,828,220,138,431,515,264,
707,670,424,092,601,977,102,053,325,268,229,341,265,925,150,737,930,783,359,
385,864,945,563,225,809,157,446,165,650,172,117,386,897,200,799,591,659,027,
062,379,733,255,887,992,779,142,655,043,917,688,301,957,575,463,245,847,073,
528,181,990,552,909,287,325,080,634,857,116,179,294,157,024,631,829,977,459,
119,833,657,925,699,513,583,955,132,862,311,941,304,966,329,202,219,255,046,
418,479,418,536,168,882,862,268,030,020,067,464,975,589,789,464,516,980,465,
545,275,518,168,392,412,750,786,282,933,652,419,396,804,823,096,716,717,675,
494,069,309,660,492,024,181,333,892,493,071,411,862,430,556,519,182,039,708,
729,211,240,165,858,795,938,374,478,816,684,789,135,308,980,262,142,390,506,
124,097,684,087,779,565,910,984,261,781,321,751,719,454,086,082,951,147,821,
744,388,733,435,850,661,676,905,416,785,855,624,304,863,347,735,854,882,178,
722,458,512,396,925,154,885,982,755,758,547,138,496,217,192,164,079,363,544,
007,238,430,299,901,186,110,776,632,733,834,647,968,057,764,380,534,210,284,
825,916,207,163,143,559,900,656,710,415,288,530,308,630,155,547,952,568,784,
340,783,894,761,888,627,716,410,930,257,104,895,750,706,492,135,766,692,597,
111,481,133,783,511,582,946,024,639,322,666,767,390,434,876,887,963,402,140,
817,304,850,785,754,565,939,432,230,433,129,407,109,015,528,249,443,780,895,
363,017,629,333,717,574,261,415,633,238,683,909,935,988,323,141,715,656,632,
314,244,606,311,652,355,279,238,621,697,464,177,688,311,778,250,495,183,780,
003,160,572,591,227,302,972,286,654,362,881,647,808,732,832,533,959,299,644,
844,468,262,851,748,885,411,988,417,802,766,788,056,112,670,408,023,003,577,
853,695,675,561,497,711,707,372,346,198,404,475,586,940,906,737,522,844,793,
806,932,010,003,908,034,570,100,704,979,774,902,687,141,023,077,895,665,877,
424,749,709,478,831,625,511,591,488,598,392,815,285,984,858,180,587,218,908,
134,438,320,481,637,603,092,684,084,458,154,583,384,050,633,350,066,358,461,
504,385,219,477,680,813,368,202,991,221,715,545,641,910,970,520,322,188,937,
214,772,686,954,625,376,316,375,820,735,740,106,137,337,135,585,266,137,938,
839,250,766,513,240,952,733,725,654,975,778,170,712,871,283,836,093,257,176,
969,069,221,015,082,812,924,517,353,505,315,032,648,829,507,768,942,011,939,
710,079,262,995,115,848,122,039,399,008,757,482,062,331,162,281,800,602,469,
497,335,415,823,811,820,852,669,979,199,860,512,127,539,514,307,000,296,018,
324,447,828,957,615,156,205,041,884,921,783,993,818,583,864,051,345,337,602,
856,839,661,031,224,309,689,676,338,354,501,198,520,070,725,500,563,513,564,
858,977,989,724,490,417,333,949,060,451,866,418,807,553,310,289,751,225,688,
388,487,901,078,331,949,048,037,180,530,896,344,301,900,106,669,366,310,124,
261,909,591,315,806,989,066,318,024,862,471,936,531,722,757,883,837,284,595,
809,248,495,553,586,414,391,922,784,206,185,672,670,187,433,751,095,496,487,
173,652,373,623,947,948,720,233,506,590,677,540,627,279,140,986,091,591,487,
649,977,812,483,715,179,901,789,486,677,260,805,653,073,344,173,635,358,889,
115,932,609,614,725,028,774,128,168,155,271,702,255,802,249,721,625,425,854,
898,874,283,529,864,519,077,673,979,773,676,332,862,206,250,564,801,935,786,
998,486,056,324,402,700,759,595,837,132,428,630,640,677,322,645,854,001,175,
621,967,147,089,259,689,517,878,989,780,076,379,641,326,804,074,231,785,300,
386,851,461,225,020,618,717,331,029,779,932,101,407,961,512,827,693,183,499,
029,552,902,044,381,868,113,332,355,354,517,964,552,815,218,311,546,625,851,
240,610,607,935,929,269,156,577,438,278,159,403,899,389,647,969,885,463,617,
572,323,328,117,539,736,389,262,158,364,841,267,144,372,825,344,495,423,365,
401,683,265,260,528,064,963,416,116,042,062,591,013,330,530,410,142,643,508,
012,961,190,404,785,377,325,304,650,120,048,943,079,273,553,951,218,570,325,
835,372,913,608,355,930,853,699,310,239,888,054,369,602,675,916,279,352,432,
403,333,278,452,138,233,974,658,303,358,756,251,407,224,213,305,224,160,484,
030,675,766,610,593,586,504,591,116,808,293,675,258,434,780,195,712,944,238,
777,891,754,831,053,553,507,307,456,243,682,516,122,434,947,819,847,889,276,
365,639,199,203,272,853,369,972,661,339,897,598,624,504,143,553,782,975,655,
202,578,178,290,842,362,440,582,900,121,599,706,587,753,672,432,963,032,465,
722,076,858,312,989,901,044,962,924,493,846,256,876,605,003,282,689,693,846,
548,998,664,533,856,813,328,985,343,168,254,373,817,775,236,527,905,504,464,
358,820,608,701,661,870,239,395,020,115,088,610,346,693,364,081,410,596,531,
505,357,810,928,209,718,624,698,732,756,167,354,994,370,772,291,220,694,854,
819,885,629,156,177,803,898,439,907,538,744,739,674,859,330,921,114,205,473,
688,557,724,530,925,667,585,598,741,843,116,412,406,531,756,604,013,173,711,
884,642,534,623,148,926,859,534,291,337,832,559,272,045,441,722,708,621,843,
610,071,067,384,559,174,837,453,247,992,302,814,937,363,696,848,635,880,562,
303,310,710,634,888,284,163,077,395,485,227,205,539,574,237,515,650,558,800,
989,971,247,540,495,435,695,121,705,237,124,582,886,484,722,781,829,258,749,
201,826,349,619,761,112,285,360,796,675,813,646,566,110,883,069,771,615,183,
686,417,001,933,083,750,539,359,040,954,133,603,389,230,129,418,964,995,840,
012,635,665,719,028,212,719,339,827,771,691,135,811,479,616,472,462,657,040,
585,841,951,037,668,794,717,501,160,294,859,901,177,134,679,890,745,043,056,
069,022,023,199,154,038,607,546,121,955,461,685,133,139,954,475,383,890,792,
446,113,475,778,699,039,864,893,040,554,587,124,678,266,130,377,150,565,123,
504,557,834,201,793,357,805,761,428,897,401,018,470,472,946,568,490,050,012,
914,017,189,572,059,550,960,908,046,625,529,219,220,667,836,630,163,379,587,
964,317,818,668,956,347,299,361,532,680,381,800,806,685,699,555,620,716,036,
181,345,441,256,738,895,894,143,974,381,079,703,567,561,039,863,575,972,617,
948,006,704,744,931,364,326,569,658,902,982,737,880,297,221,171,578,298,228,
548,633,432,370,275,900,925,041,512,998,416,982,384,488,242,598,535,731,734,
847,230,597,503,573,314,798,988,035,012,215,446,782,258,605,197,158,989,109,
589,732,809,582,571,274,922,041,166,522,505,102,599,812,127,491,379,139,356,
988,835,478,563,533,802,722,536,598,980,434,622,769,217,184,743,956,212,320,
592,664,307,225,672,282,999,991,124,297,939,127,480,365,358,687,276,127,421,
313,766,582,632,593,333,570,616,943,083,495,060,770,321,073,541,211,206,413,
633,369,889,394,505,164,715,611,572,601,477,858,991,170,317,191,439,755,952,
890,445,987,508,924,030,173,041,591,523,866,921,568,695,094,159,980,521,087,
896,675,713,264,043,470,082,190,397,105,532,234,539,637,857,192,639,304,129,
034,583,688,210,996,640,371,204,680,708,885,637,565,768,219,492,608,895,686,
734,060,046,309,481,324,942,960,164,458,317,577,493,613,745,342,490,724,772,
392,238,865,226,801,606,326,595,016,719,348,387,218,599,953,509,625,144,399,
782,023,186,486,264,778,094,439,930,499,657,415,558,430,701,997,206,180,092,
069,680,298,227,531,815,588,629,131,592,795,235,622,086,279,579,395,200,012,
786,215,124,437,775,267,674,090,857,698,365,531,937,405,070,452,226,195,585,
199,412,897,365,637,621,000,093,247,961,318,709,688,116,537,826,412,654,211,
452,378,029,009,398,415,445,761,861,483,898,194,015,593,897,900,773,794,643,
189,478,032,901,426,022,493,639,069,561,994,409,491,951,135,581,915,240,491,
066,113,781,047,307,709,702,646,307,090,277,249,875,232,444,842,453,024,430,
615,698,480,502,916,489,805,282,971,529,144,653,856,122,249,213,424,491,030,
353,519,597,595,019,401,233,158,134,536,986,153,723,473,504,182,160,896,019,
128,150,144,206,050,428,881,170,443,205,573,231,632,846,052,063,800,071,106,
042,323,511,037,057,602,960,123,662,293,893,879,723,765,375,903,222,161,344,
485,294,701,774,609,811,743,909,002,103,541,683,617,193,251,039,688,404,358,
304,469,064,733,927,274,304,435,857,826,364,087,614,639,635,699,828,079,935,
711,109,743,308,269,731,634,176,930,608,416,012,979,154,453,009,006,591,240,
836,725,086,010,068,519,661,051,705,988,190,325,274,143,091,665,225,587,253,
975,372,094,728,280,082,237,734,160,877,341,237,344,626,619,667,866,850,907,
607,167,429,087,096,037,246,217,221,435,028,177,757,465,963,524,806,839,963,
303,365,076,474,274,804,790,748,826,096,187,245,349,174,653,510,527,611,650,
607,782,679,345,853,628,969,665,009,013,330,481,094,137,472,246,530,976,654,
169,918,385,957,046,708,918,957,360,340,292,735,895,529,971,005,805,985,461,
120,397,951,429,605,935,978,483,779,980,154,134,159,389,498,055,793,936,844,
330,829,421,539,978,362,558,462,686,773,356,953,180,438,827,529,377,331,248,
062,159,039,947,229,596,887,349,707,648,452,763,633,397,242,693,566,010,746,
359,334,698,154,868,668,467,679,250,736,901,889,448,835,617,402,417,579,950,
826,680,218,184,152,011,302,730,657,324,321,239,943,883,701,861,618,081,435,
768,720,302,119,863,291,361,788,159,560,569,355,833,116,324,606,267,764,289,
781,924,121,308,152,043,452,503,476,500,224,137,244,887,547,748,246,014,782,
180,700,772,296,851,033,622,047,731,144,168,793,375,825,041,278,835,963,251,
243,545,230,312,707,837,128,766,900,631,106,647,094,618,335,645,848,010,295,
049,554,968,551,142,167,086,137,719,476,744,113,041,787,283,926,550,782,253,
914,984,776,705,191,074,134,936,598,218,406,193,208,659,700,514,767,527,852,
802,008,735,531,249,744,314,941,333,884,474,962,526,761,340,120,308,258,522,
022,948,733,153,515,663,081,073,623,200,314,915,307,642,612,855,323,770,727,
881,355,462,993,065,520,088,430,487,167,455,377,873,964,217,836,795,629,415,
694,608,222,767,243,574,350,171,466,202,589,475,559,818,979,759,716,641,121,
326,497,325,519,728,076,070,390,736,834,232,686,598,551,744,164,133,774,772,
300,781,657,566,010,805,046,585,279,468,252,166,359,667,411,180,399,216,934,
870,664,278,755,267,661,275,997,780,842,161,806,957,408,151,728,821,020,643,
083,492,829,092,502,500,935,245,703,125,930,189,127,871,074,492,855,621,083,
372,391,330,203,728,875,570,173,277,194,867,875,250,292,583,666,393,691,760,
549,587,730,303,586,400,376,494,789,773,657,397,010,040,076,018,919,577,243,
242,497,720,603,490,411,763,272,342,771,415,058,441,875,514,629,984,105,871,
574,576,805,376,867,334,065,344,066,207,740,395,565,020,295,173,905,777,437,
705,147,143,430,631,824,569,656,709,980,804,054,495,552,375,140,593,399,190,
105,224,212,962,289,120,175,339,995,434,110,120,732,206,470,704,061,683,889,
278,279,772,023,175,295,299,116,017,976,665,135,260,030,427,026,149,399,269,
226,425,550,161,585,179,624,409,793,350,265,353,044,619,492,475,360,692,668,
763,342,478,048,735,909,058,041,406,155,291,442,147,371,963,539,654,549,509,
072,011,538,808,551,496,306,266,397,484,325,782,527,772,784,497,474,537,838,
599,626,913,115,884,940,654,171,581,549,314,992,973,778,185,972,024,130,002,
200,256,548,307,461,669,624,765,393,435,844,994,271,343,754,630,181,549,609,
452,733,783,166,286,285,570,988,503,563,171,610,942,844,610,181,177,388,416,
816,414,959,729,800,832,261,069,925,083,773,461,479,719,237,643,474,956,050,
330,689,029,279,401,804,049,666,030,085,583,129,249,946,228,257,079,211,210,
952,447,967,322,985,830,814,897,649,093,837,700,783,847,095,273,791,328,825,
435,020,847,834,863,235,797,941,201,015,718,121,598,243,643,958,962,370,166,
896,415,343,740,824,543,478,148,347,359,883,472,926,402,200,950,917,800,297,
470,414,233,726,918,766,282,685,429,969,358,626,340,532,979,463,635,738,140,
075,469,007,092,250,763,979,234,830,803,274,845,842,006,897,107,090,862,272,
697,687,330,146,069,808,408,807,968,189,486,955,023,683,473,424,034,482,185,
168,334,898,886,081,527,819,780,038,881,171,559,604,680,230,029,826,795,711,
735,004,227,224,630,725,166,615,226,783,072,115,073,430,839,946,416,475,090,
013,178,325,890,412,804,334,220,119,106,803,344,978,158,023,979,096,824,506,
845,004,975,877,395,397,828,424,378,202,612,745,505,813,206,596,564,556,750,
260,917,650,739,122,374,276,538,250,061,813,001,709,957,088,365,653,439,047,
981,202,445,450,218,356,595,463,453,246,769,334,511,643,409,037,950,242,276,
542,010,742,031,590,432,673,271,546,026,247,539,496,849,911,644,480,372,070,
470,064,215,736,634,468,399,191,121,148,570,135,089,970,929,547,722,679,862,
700,627,868,357,337,935,153,575,739,858,598,942,226,853,329,433,782,830,953,
368,472,429,993,142,530,991,049,173,599,873,884,760,851,415,341,476,227,710,
897,116,097,211,157,402,895,426,177,525,332,761,561,798,557,293,067,416,990,
970,896,573,908,267,864,923,079,080,675,373,554,420,041,749,480,756,998,706,
158,603,087,213,103,526,307,491,392,112,190,709,887,484,850,262,902,137,775,
281,163,911,532,201,973,346,868,448,487,421,710,061,754,603,229,453,324,972,
622,461,679,717,973,005,941,777,744,424,677,169,890,146,135,873,044,017,500,
276,405,426,532,585,455,543,351,391,961,166,116,243,148,450,934,833,282,102,
270,352,479,972,519,219,362,199,713,603,810,914,179,313,173,851,134,728,999,
543,357,229,860,432,584,826,571,137,681,145,847,309,373,755,831,861,977,439,
573,620,398,246,382,970,182,541,960,852,797,139,335,074,509,541,200,624,845,
900,079,429,403,512,663,946,192,946,558,826,675,478,264,961,196,357,413,832,
780,681,055,963,566,827,584,959,693,994,576,547,655,563,985,780,185,692,723,
086,298,222,777,363,411,559,560,330,417,879,085,371,734,698,632,004,702,735,
308,145,570,849,334,213,088,498,636,694,326,139,747,341,901,714,384,844,900,
120,638,703,667,762,193,995,551,678,146,160,804,116,298,931,714,894,661,121,
818,546,747,772,118,262,831,344,067,306,251,497,544,390,379,368,768,042,313,
965,786,263,060,387,801,823,681,950,503,714,458,444,670,852,615,510,018,944,
409,403,053,012,847,166,907,877,073,338,619,282,862,739,000,881,880,075,380,
106,392,813,665,593,689,859,171,483,397,284,933,033,011,409,495,930,342,325,
557,362,648,216,050,089,879,550,525,540,289,337,401,223,182,849,489,257,182,
313,282,613,926,035,583,178,078,297,637,587,438,155,895,816,026,758,293,344,
944,571,452,574,304,630,952,307,049,611,070,704,160,440,974,743,660,334,055,
951,282,377,544,657,293,416,345,035,917,966,023,415,381,581,841,910,851,625,
019,304,951,584,891,187,559,683,659,684,132,770,199,301,548,130,564,228,618,
589,228,686,347,657,272,752,003,683,232,997,404,813,978,912,614,441,596,214,
215,162,097,421,612,551,090,013,437,243,832,946,684,952,898,048,157,454,033,
483,347,401,177,646,110,324,107,584,312,027,373,942,340,612,204,614,360,327,
891,149,015,433,661,376,807,718,084,959,734,366,243,224,492,287,339,692,916,
168,193,239,895,990,763,622,332,724,555,442,664,594,638,678,568,692,419,966,
879,916,429,891,425,495,146,305,995,235,841,658,901,690,818,615,293,231,544,
782,279,897,897,363,313,693,122,122,861,950,335,614,605,885,707,392,978,094,
412,829,765,248,555,476,053,688,683,256,859,476,861,708,445,270,603,751,428,
068,678,706,076,914,430,277,184,072,349,196,789,167,178,784,444,147,300,787,
525,036,444,094,663,181,964,777,020,247,342,111,086,500,408,212,029,188,559,
785,227,603,949,914,810,302,819,775,256,506,221,891,884,469,690,236,778,934,
454,275,415,170,650,195,089,792,560,736,528,844,632,442,796,286,750,500,473,
433,806,073,624,973,587,008,180,850,193,252,128,297,693,200,825,497,561,482,
679,951,678,648,307,497,632,783,943,010,946,125,675,744,529,012,519,255,888,
275,053,875,569,344,322,979,214,787,411,560,000,976,619,685,435,820,057,876,
662,315,452,201,958,375,732,370,011,102,836,799,266,177,356,141,009,023,656,
991,067,319,685,357,692,493,239,412,365,291,721,848,611,869,002,883,573,679,
925,100,268,782,748,278,361,785,210,306,036,677,699,232,783,621,923,443,596,
717,557,037,312,097,144,417,968,202,614,363,859,722,796,066,847,275,276,676,
297,296,009,004,011,632,406,129,160,599,426,701,746,168,634,572,022,543,993,
852,938,575,188,649,731,621,159,986,134,732,311,191,801,140,078,992,470,286,
364,478,790,497,640,138,350,939,575,930,395,662,149,594,940,534,930,299,812,
110,440,059,835,534,269,972,559,760,598,319,506,674,670,999,221,660,216,124,
186,538,362,738,115,586,278,564,330,723,808,868,335,129,646,139,990,763,693,
704,848,471,953,679,006,829,749,581,416,239,614,307,652,163,551,703,104,923,
124,706,674,980,401,613,079,172,787,489,822,253,581,742,141,333,708,563,379,
337,885,830,232,830,606,425,746,824,965,945,698,454,842,916,848,804,220,313,
505,865,018,187,272,340,564,590,682,333,469,776,855,687,300,698,356,686,711,
665,690,768,578,891,877,178,195,803,010,593,994,111,439,403,757,177,356,645,
560,176,271,119,284,314,926,484,788,911,203,675,312,358,820,426,996,358,601,
865,737,677,428,157,399,837,263,138,414,812,085,115,743,141,874,637,755,580,
081,192,775,378,926,313,510,805,540,859,924,705,870,956,402,476,028,994,075,
630,434,324,967,461,315,821,141,843,459,184,826,724,995,944,730,164,191,678,
310,588,398,055,238,739,666,609,042,667,692,199,944,454,858,402,071,968,071,
820,261,524,599,434,162,538,005,151,129,109,133,653,963,636,495,949,318,991,
199,191,073,998,503,858,397,740,556,972,049,729,410,522,652,855,397,614,421,
908,818,575,115,927,035,094,954,077,565,946,682,131,645,137,393,592,118,010,
545,941,535,741,289,530,874,773,415,928,081,147,702,565,918,471,944,600,928,
397,294,416,901,647,238,372,482,391,619,097,343,689,995,371,107,357,583,180,
671,542,577,634,447,732,884,163,604,148,074,932,534,175,425,431,168,800,452,
972,658,705,490,371,638,015,221,887,622,688,192,891,678,220,552,270,533,886,
649,679,679,288,273,923,637,359,285,471,825,053,353,953,091,994,757,684,611,
757,784,381,357,481,540,836,879,208,367,431,125,284,813,709,720,769,747,417,
965,155,943,905,013,708,690,492,339,307,550,048,355,724,460,973,573,760,282,
619,152,656,443,066,346,483,178,958,010,970,379,804,920,235,152,217,268,969,
281,729,963,845,841,194,557,920,733,945,742,940,990,006,163,900,235,508,787,
058,358,762,686,690,012,347,201,869,625,134,388,484,041,308,722,400,568,371,
454,192,918,526,973,302,548,636,668,725,920,382,771,259,045,770,900,392,028,
485,471,502,121,278,715,600,956,675,653,743,097,276,672,442,860,427,196,482,
118,013,341,906,456,138,192,424,140,762,187,566,074,693,480,897,343,176,688,
731,049,366,643,255,487,025,781,072,930,823,219,180,572,029,659,839,406,007,
951,650,437,265,714,521,871,695,939,207,454,697,009,777,446,481,190,344,858,
565,082,252,573,230,074,796,440,887,958,593,509,496,413,717,426,426,632,249,
677,028,796,629,709,853,887,308,359,434,383,605,088,251,148,442,890,145,197,
961,160,013,475,086,033,796,730,373,539,350,684,408,999,680,877,042,584,257,
848,574,540,124,664,837,417,392,152,669,043,599,335,635,252,733,566,958,454,
384,360,431,936,013,202,206,475,273,989,837,138,220,457,300,928,695,331,722,
383,270,218,699,151,695,886,936,725,626,481,559,993,913,668,994,569,137,399,
225,919,367,916,212,075,130,459,990,034,165,902,660,938,627,292,467,504,917,
839,468,143,473,567,621,656,029,104,779,293,902,611,950,320,467,307,529,153,
896,039,479,158,050,200,814,728,691,512,322,671,024,141,140,135,856,041,081,
407,458,983,809,577,439,240,695,388,930,502,051,653,799,133,538,747,639,250,
663,868,905,698,903,847,975,683,888,647,726,177,307,578,041,897,522,486,036,
749,835,120,795,789,609,937,897,886,708,997,735,063,386,153,680,495,835,622,
806,240,789,670,471,312,632,397,459,987,794,198,929,238,599,343,804,386,051,
986,642,844,006,045,270,627,131,230,340,805,880,496,555,552,186,433,872,492,
460,195,732,348,137,132,561,685,772,645,637,944,265,982,752,764,496,926,629,
207,248,504,295,091,140,930,480,563,537,052,841,003,560,878,207,193,534,669,
034,298,560,794,832,128,984,397,309,411,878,389,008,585,431,100,225,842,732,
304,838,166,667,642,897,585,752,705,985,517,216,933,083,523,903,628,815,220,
180,360,811,145,173,990,810,577,747,286,928,042,224,787,252,223,981,939,735,
924,124,862,927,371,491,881,353,706,666,787,870,209,859,428,871,608,270,949,
393,340,386,392,254,416,120,064,368,369,309,582,023,012,744,454,888,509,112,
523,704,612,874,631,246,283,697,023,149,984,914,205,793,971,928,796,084,956,
767,281,787,491,346,136,627,162,237,044,175,226,698,482,782,197,746,757,406,
762,646,297,158,882,857,572,976,668,381,701,882,005,962,687,297,472,945,143,
352,642,979,573,697,159,175,661,591,833,100,631,294,765,839,940,972,448,017,
186,686,622,697,127,722,792,325,517,679,189,512,615,905,278,534,608,890,047,
407,357,874,878,376,705,275,029,865,837,893,908,673,932,581,330,893,166,262,
388,656,227,254,279,830,120,929,035,366,582,656,191,522,965,944,090,799,904,
617,543,601,816,039,470,384,340,940,949,265,132,952,662,136,004,016,744,223,
417,418,704,424,198,955,564,548,828,219,337,850,702,005,475,701,018,067,567,
283,640,683,176,461,139,349,822,791,870,818,319,371,474,933,163,459,975,916,
741,810,107,769,959,962,178,464,055,362,273,549,102,304,831,146,120,004,954,
866,329,553,412,014,684,905,712,804,290,840,784,720,015,594,511,677,624,836,
258,378,191,011,612,760,576,897,167,017,106,548,012,848,638,796,622,044,450,
171,312,375,239,643,938,148,119,922,489,987,224,611,539,264,798,150,458,592,
403,888,058,239,734,385,414,581,002,351,915,620,284,271,548,420,646,755,760,
913,522,738,707,024,476,018,493,399,411,617,998,887,507,738,797,517,332,938,
637,831,589,991,145,150,863,137,171,690,789,112,855,497,088,646,056,575,560,
319,814,571,228,674,548,505,582,604,346,191,772,336,962,636,753,234,308,732,
936,444,143,888,084,432,714,431,910,101,682,677,258,746,237,013,349,762,725,
591,364,238,978,571,691,641,052,038,781,538,648,062,165,019,593,988,065,203,
095,741,422,898,119,272,119,362,742,091,165,567,882,700,427,187,604,059,659,
967,806,746,257,252,952,895,813,377,879,340,197,284,852,567,328,936,807,591,
232,515,529,256,431,799,049,725,873,017,656,948,067,593,342,937,378,229,674,
815,836,970,939,662,509,016,058,931,039,573,666,575,288,679,249,837,502,269,
570,626,277,660,613,065,776,870,027,753,497,026,675,828,232,833,455,972,211,
604,530,939,361,238,413,020,514,633,969,201,417,265,243,357,793,253,318,453,
120,986,973,354,695,090,270,341,707,616,436,787,335,343,393,083,697,735,149,
671,135,592,686,065,742,755,281,311,240,099,328,072,301,853,176,157,839,149,
716,196,965,006,313,297,739,991,351,283,721,962,262,000,345,917,178,823,220,
302,504,296,822,216,029,615,524,503,096,220,968,700,553,758,676,009,062,838,
484,517,578,386,055,925,319,976,936,663,040,668,661,967,083,000,404,245,877,
012,162,716,694,426,997,689,479,096,695,827,843,565,820,437,729,248,885,647,
155,768,962,907,827,226,604,010,646,518,727,187,629,990,104,069,213,234,392,
627,915,356,148,376,857,352,118,160,334,633,581,165,331,229,584,546,369,286,
858,658,379,718,780,680,030,743,618,891,166,101,402,008,822,492,868,944,512,
640,765,643,230,320,882,729,939,474,319,057,290,687,640,247,967,605,183,201,
911,074,851,003,578,172,466,210,496,953,015,336,027,412,467,268,918,963,684,
281,552,196,451,303,250,638,974,507,190,856,535,535,748,670,473,106,493,715,
240,459,934,636,869,429,797,270,858,544,860,987,979,186,545,481,908,372,017,
165,275,267,211,499,907,319,580,052,790,542,777,741,182,182,859,016,179,660,
528,378,430,158,579,558,796,153,479,129,361,991,863,693,989,069,361,774,927,
351,690,906,881,680,145,366,680,030,855,351,496,090,150,526,293,397,103,131,
209,494,711,563,636,908,936,389,021,908,799,751,550,133,304,664,210,216,146,
371,634,130,652,816,528,480,245,169,527,970,328,557,625,946,920,262,236,120,
993,814,900,106,381,925,064,584,585,812,519,939,139,401,311,376,507,155,552,
664,235,449,519,170,879,369,671,260,509,500,421,945,566,619,803,288,490,726,
123,246,899,826,409,579,430,137,998,448,280,927,322,145,855,027,543,032,382,
899,318,865,440,044,469,612,743,539,385,113,404,887,543,564,039,462,347,453,
771,091,801,114,113,543,713,771,012,346,323,214,173,788,044,072,794,248,834,
415,203,685,316,493,866,567,050,924,013,144,514,587,410,783,772,088,300,806,
971,519,465,165,205,035,172,493,576,253,139,715,908,917,947,215,706,380,870,
703,874,079,624,457,709,199,574,948,156,822,174,393,156,422,552,090,130,633,
193,289,452,676,765,379,297,081,575,034,092,534,345,935,338,562,166,182,746,
161,975,789,338,560,904,501,945,017,873,062,042,945,084,044,725,580,738,781,
932,709,667,846,305,827,679,998,711,886,735,676,365,447,343,135,234,741,864,
242,301,295,571,950,960,562,135,372,063,857,078,168,923,072,707,060,067,461,
616,961,967,648,830,433,667,376,108,849,690,787,235,738,403,999,618,019,922,
642,018,681,957,212,876,376,112,346,748,808,980,336,456,353,020,244,291,300,
954,606,820,037,517,099,654,522,686,784,775,624,923,013,183,995,055,041,150,
095,129,113,824,080,283,653,743,646,616,736,796,947,433,639,436,506,224,001,
146,230,581,765,523,816,555,245,651,257,639,758,799,023,701,911,570,330,216,
959,218,715,492,793,447,797,496,403,406,225,204,557,937,241,765,945,478,841,
142,088,740,894,285,677,627,336,816,530,143,088,187,359,153,296,239,670,897,
907,195,706,797,569,898,419,533,274,590,845,219,433,438,129,368,515,625,500,
585,721,405,623,423,298,064,009,498,143,963,935,164,272,408,827,056,626,592,
385,729,250,404,765,194,459,709,833,860,323,737,390,813,013,994,156,174,664,
654,047,494,300,920,676,313,128,322,355,931,613,395,279,950,224,118,466,154,
331,774,366,821,277,892,812,067,830,588,023,247,895,307,300,937,601,092,965,
372,545,706,524,870,922,326,547,478,117,283,936,220,593,600,784,723,235,648,
385,024,656,136,089,505,138,796,530,862,261,063,540,087,774,024,036,372,570,
241,594,646,678,823,889,988,490,246,091,883,667,810,233,077,067,157,863,159,
300,843,906,828,958,801,362,890,250,429,469,441,903,871,641,897,762,624,952,
523,542,091,712,945,641,259,159,158,670,212,278,973,892,356,412,787,608,564,
997,773,125,401,669,152,364,024,106,392,536,582,683,947,520,067,239,692,188,
246,422,021,679,400,021,591,901,710,914,672,081,172,958,808,559,673,548,572,
337,754,675,955,159,900,322,524,510,391,514,067,205,316,215,003,375,842,833,
800,032,801,105,717,086,603,510,355,893,228,737,310,874,841,377,755,397,114,
294,249,898,904,376,894,482,350,245,973,071,488,255,293,574,673,581,039,312,
007,369,288,477,038,694,487,581,333,893,599,580,486,781,959,927,390,609,583,
478,420,298,190,536,448,754,688,492,839,133,346,933,943,005,330,467,812,244,
961,903,402,159,731,369,867,371,011,104,479,808,929,333,773,671,372,357,999,
038,851,130,868,153,408,223,418,397,299,768,004,324,388,795,168,777,445,336,
232,632,675,828,549,881,429,307,882,978,493,598,249,031,112,753,995,060,735,
447,413,126,596,610,882,959,031,363,505,444,953,883,997,073,786,914,611,540,
401,354,380,935,563,974,303,406,758,218,732,588,408,564,713,279,156,893,772,
976,791,251,921,537,945,383,049,720,304,798,804,157,955,401,229,887,115,090,
925,396,318,583,706,299,000,462,833,024,037,419,573,867,370,011,909,531,342,
148,623,472,716,809,198,740,316,791,768,542,793,004,388,330,185,022,362,530,
427,537,865,364,574,689,111,246,784,048,871,462,464,313,051,468,300,893,015,
733,999,628,535,477,400,924,382,295,047,736,054,043,526,531,427,889,856,256,
337,782,045,263,964,872,533,814,441,948,085,086,685,579,042,964,473,864,734,
733,722,251,354,457,601,387,745,615,733,541,854,587,643,630,136,821,185,908,
151,832,393,545,022,278,870,789,153,223,928,706,636,630,316,195,830,104,624,
509,953,550,739,331,200,020,940,520,071,214,392,356,091,400,431,401,821,340,
671,381,124,539,649,926,428,762,207,961,923,434,899,964,821,493,080,206,627,
407,946,862,330,256,470,251,831,285,261,904,938,410,729,856,826,752,424,694,
865,816,367,089,611,041,096,867,652,384,020,741,143,521,945,065,472,544,146,
059,956,761,687,403,471,343,758,259,559,346,815,626,394,840,835,855,476,465,
459,571,745,679,823,192,475,145,469,713,608,227,801,471,170,746,415,944,482,
768,272,137,993,371,836,189,823,040,661,997,692,166,721,063,395,805,644,110,
201,493,009,724,246,695,844,731,844,297,909,128,937,917,235,980,496,167,585,
713,902,117,227,444,307,787,260,263,225,812,884,994,252,376,982,763,109,059,
691,395,998,519,660,615,137,011,078,555,984,994,210,162,062,140,203,148,214,
876,872,827,830,109,331,732,612,761,651,399,586,889,651,110,290,652,983,559,
279,256,106,873,441,563,608,206,079,600,896,884,921,466,213,035,084,299,789,
058,198,833,028,917,724,777,192,893,770,748,173,209,346,149,048,391,631,225,
298,124,947,861,820,986,385,115,683,782,645,825,386,249,298,535,554,439,048,
900,057,365,227,338,713,375,251,473,306,551,935,366,294,915,585,807,915,692,
683,973,009,074,523,864,962,310,984,117,005,294,800,321,059,609,236,435,307,
826,928,533,072,664,908,502,962,038,584,417,048,648,344,419,891,057,321,345,
167,010,397,447,127,023,378,505,647,682,712,165,959,985,152,025,580,562,930,
153,214,621,630,295,308,914,636,163,604,487,364,369,162,570,609,652,723,859,
324,737,466,131,197,022,399,066,936,156,277,984,017,924,274,652,923,955,523,
141,788,563,284,628,525,485,008,005,655,847,858,547,931,534,222,983,884,658,
200,969,598,078,788,020,076,212,322,698,390,873,903,050,350,886,153,952,626,
109,054,226,283,485,595,135,024,924,754,161,616,046,144,278,321,131,178,540,
629,455,256,846,034,097,515,560,689,254,054,353,980,516,289,093,573,418,224,
686,915,893,005,720,907,358,597,059,653,053,287,561,673,864,380,686,862,845,
849,619,157,359,279,497,460,089,719,773,534,138,945,363,168,543,807,142,262,
192,656,435,205,770,314,483,920,510,916,763,291,742,775,798,621,524,562,501,
546,570,898,333,690,241,164,337,427,239,281,118,048,686,986,314,141,893,206,
012,794,116,650,247,424,130,866,151,216,417,363,265,299,664,727,138,036,986,
208,494,792,692,948,053,454,815,891,820,451,319,704,082,955,071,901,179,354,
428,235,307,830,770,349,514,505,647,991,184,504,785,856,209,678,731,381,654,
340,192,801,055,332,450,594,001,065,920,625,395,240,448,682,877,868,884,919,
288,035,127,378,376,959,011,327,918,465,334,023,458,706,017,484,793,700,225,
570,569,854,997,962,606,450,284,190,288,837,797,042,375,804,403,698,438,126,
849,862,362,563,342,022,250,666,434,937,307,099,388,747,362,340,481,861,079,
281,777,851,063,997,132,506,331,599,237,516,937,570,067,091,387,598,983,879,
767,440,853,823,675,184,439,521,013,457,905,133,098,445,575,452,200,194,667,
276,932,020,143,707,699,229,390,329,294,880,322,182,361,272,283,261,145,493,
863,645,925,074,470,675,694,455,197,133,421,009,899,886,549,010,764,105,232,
401,877,341,495,204,239,716,972,645,349,156,983,756,909,121,646,351,931,294,
784,659,944,405,888,076,179,076,802,165,221,493,644,721,954,064,333,079,410,
861,089,087,561,832,947,720,307,018,429,489,265,676,115,784,364,288,605,717,
847,764,032,184,201,714,705,664,757,730,792,899,854,687,211,654,610,496,684,
079,013,169,439,398,034,517,357,678,359,572,527,805,936,417,093,575,323,002,
265,157,442,731,051,806,563,578,136,337,111,999,092,847,030,267,245,924,827,
003,079,596,830,398,104,173,275,842,594,646,014,104,206,891,524,454,149,262,
020,798,549,292,119,378,799,461,706,948,620,949,902,617,237,030,214,361,030,
629,007,790,567,393,855,679,029,410,894,327,788,508,164,893,370,656,193,719,
452,994,310,904,654,433,158,959,394,297,253,341,574,043,695,727,447,926,672,
433,532,432,541,480,263,767,414,967,106,002,671,064,792,656,296,727,817,941,
849,714,536,565,369,915,233,102,080,139,785,923,009,902,909,721,035,721,054,
506,049,177,106,772,210,825,658,183,492,015,073,092,758,644,408,435,403,476,
473,821,943,484,787,948,495,069,059,897,674,659,658,610,676,219,723,208,761,
746,761,080,131,768,603,945,136,008,003,118,228,463,806,265,892,477,871,098,
129,846,343,938,351,286,674,955,050,759,541,263,982,364,586,725,678,784,918,
804,236,116,219,742,198,516,314,193,512,942,136,815,961,232,710,392,735,818,
152,629,797,433,545,047,388,655,207,833,682,661,544,795,845,913,257,689,082,
331,742,596,784,411,271,362,384,086,112,612,997,787,361,252,003,023,702,332,
122,725,398,093,918,571,719,593,044,726,997,405,700,497,644,201,194,417,391,
808,003,569,914,342,152,131,137,385,020,103,798,351,778,095,709,060,964,598,
900,127,870,784,561,458,476,587,236,199,607,985,803,682,783,142,072,628,272,
112,963,455,477,827,068,600,181,617,060,582,898,807,105,189,450,896,040,765,
308,552,312,854,187,298,647,383,568,345,347,453,303,862,672,022,401,298,780,
722,768,661,976,751,050,490,563,638,912,536,793,988,990,104,695,319,482,305,
988,021,162,666,225,445,429,266,887,773,309,215,157,455,037,482,124,667,281,
268,875,293,657,756,877,269,368,206,555,836,964,609,647,632,343,258,910,258,
323,774,243,306,856,618,865,110,825,373,478,302,708,382,267,005,814,946,427,
623,641,359,295,219,893,903,289,365,317,535,204,139,097,302,260,303,646,744,
064,288,432,431,220,546,023,875,139,035,478,731,924,170,274,331,258,774,264,
539,575,686,547,193,571,015,517,907,461,603,159,425,227,590,700,480,557,908,
567,228,470,126,472,395,432,751,223,398,166,592,388,433,490,387,869,030,497,
244,277,688,988,347,718,379,670,677,702,483,260,987,773,553,238,099,998,332,
429,401,700,867,981,076,746,182,940,299,855,360,394,318,307,364,424,701,527,
176,642,235,486,401,415,396,471,126,047,783,917,183,053,723,314,341,423,520,
505,299,018,237,799,759,225,885,114,136,782,448,479,706,404,602,707,528,953,
945,110,742,121,636,028,492,337,013,306,588,362,449,866,459,018,076,463,878,
011,105,380,657,789,193,518,324,002,891,723,665,348,665,468,465,046,292,418,
185,579,819,358,489,780,563,213,989,929,338,144,964,551,388,541,865,383,086,
773,243,352,944,500,174,323,611,524,595,278,077,475,956,531,414,364,728,707,
337,264,270,641,897,636,963,036,159,149,452,737,223,637,375,494,761,587,897,
946,320,251,418,641,874,671,618,493,090,459,500,606,808,824,767,645,558,712,
072,890,979,318,112,352,931,864,193,880,926,506,051,991,647,783,004,429,528,
448,207,064,117,306,269,822,746,826,682,789,205,130,878,978,622,945,156,551,
689,526,514,680,782,894,344,754,547,679,082,963,179,619,792,265,175,662,796,
456,759,403,965,247,640,078,652,764,817,878,240,761,336,844,601,350,681,431,
430,304,915,118,200,891,295,332,378,108,642,627,859,602,816,146,409,926,290,
514,297,608,758,653,582,888,205,379,104,789,534,524,861,167,544,836,666,594,
512,003,064,075,782,134,786,671,832,051,936,247,892,348,907,075,504,362,414,
051,628,050,877,670,375,743,639,756,392,865,149,180,315,708,982,712,896,090,
775,235,099,655,474,284,295,942,235,966,198,811,211,262,109,691,530,460,407,
847,086,454,264,793,110,766,779,129,118,106,332,139,307,070,990,682,649,235,
007,152,266,169,327,172,563,324,965,365,579,956,802,868,585,871,332,220,459,
068,468,841,000,034,793,370,404,327,681,529,665,450,236,970,114,014,895,309,
049,982,575,715,795,493,707,795,362,328,440,270,186,885,246,781,882,991,571,
410,843,034,831,170,471,993,798,459,701,650,166,245,391,795,320,755,883,503,
971,901,088,145,706,530,793,806,209,032,774,930,092,822,130,517,814,242,881,
548,501,648,475,494,393,012,582,030,439,597,424,491,776,176,993,467,749,403,
976,619,878,677,898,580,493,675,830,155,466,642,169,860,165,933,929,590,036,
463,867,675,635,659,688,989,705,547,665,091,331,019,687,715,103,971,597,230,
806,431,381,740,244,867,023,787,013,050,302,484,294,353,282,528,759,858,564,
491,450,989,421,706,049,860,134,782,156,004,797,250,376,965,965,579,836,573,
936,132,617,702,082,723,074,484,292,235,486,362,827,779,181,962,061,082,811,
650,486,346,428,691,726,368,516,587,174,834,257,223,058,162,575,053,038,463,
583,866,520,813,610,101,937,140,773,362,269,093,798,147,413,566,738,595,324,
777,202,772,757,845,073,056,491,694,055,240,889,888,627,451,059,433,714,011,
158,529,148,419,476,035,264,092,847,635,108,560,419,641,582,015,630,524,846,
786,001,812,819,573,606,894,548,413,752,598,440,407,593,235,185,286,403,507,
961,073,384,725,788,513,031,734,206,705,647,002,858,723,211,420,757,711,106,
252,466,208,696,020,005,216,342,164,124,167,001,794,230,978,077,160,907,354,
402,192,804,821,207,566,633,774,262,351,313,923,787,817,395,643,830,039,924,
845,167,376,481,883,290,146,746,174,650,620,737,988,733,040,621,770,532,286,
482,010,738,974,222,680,123,974,235,078,291,011,995,286,837,136,913,490,849,
711,799,967,683,819,818,471,821,827,431,852,036,240,235,548,311,403,910,416,
092,034,855,068,171,144,675,479,553,150,916,655,644,418,926,931,227,044,345,
171,140,058,559,284,851,446,831,606,069,823,702,509,622,751,055,540,525,482,
523,065,892,769,267,879,982,055,307,209,544,919,114,642,906,093,410,974,786,
710,421,357,666,389,793,607,743,113,249,872,434,361,605,834,728,635,526,847,
886,881,029,048,161,396,683,713,950,097,278,340,789,881,012,456,284,795,169,
965,093,982,824,957,228,511,168,634,062,473,918,161,013,078,353,201,893,540,
800,539,070,262,122,580,711,065,673,586,387,371,937,431,337,072,196,619,911,
688,184,943,427,099,103,165,982,894,562,699,852,624,667,742,827,037,922,351,
794,561,478,575,831,224,577,124,739,031,494,872,642,274,552,303,693,970,900,
958,414,833,101,263,921,778,720,984,031,513,666,418,690,668,987,944,227,360,
321,533,879,106,921,695,472,954,463,726,426,228,342,362,609,898,585,708,287,
720,129,505,280,124,699,449,491,111,957,881,745,135,963,779,693,279,740,657,
479,967,400,521,797,245,888,902,508,022,173,776,340,926,842,761,856,756,202,
958,583,369,039,292,143,637,082,413,381,398,910,514,847,418,211,884,034,592,
367,670,833,428,988,199,906,481,166,378,045,536,722,842,209,901,054,710,393,
709,427,963,251,311,851,033,866,537,731,019,867,466,159,147,171,771,406,505,
335,496,249,349,066,646,202,328,775,525,694,813,423,385,333,541,868,878,948,
412,639,793,776,743,452,524,912,588,175,469,067,829,779,868,674,650,719,543,
129,447,322,709,582,589,078,648,534,224,109,266,532,527,538,153,229,223,200,
061,749,013,747,303,581,746,377,489,111,257,445,073,453,593,412,270,878,694,
128,646,962,246,032,956,862,183,671,264,457,142,786,829,036,459,342,865,489,
247,619,651,423,210,647,694,444,974,847,671,748,476,550,466,689,695,492,802,
603,084,325,932,579,256,659,391,565,039,514,047,236,442,947,130,646,731,420,
927,737,397,117,150,602,505,663,652,280,463,433,141,475,608,742,916,133,278,
418,088,141,639,170,049,465,275,431,270,550,110,509,955,966,401,526,736,183,
953,751,129,156,875,674,178,045,672,323,790,366,000,747,567,855,974,042,490,
177,989,184,407,637,481,108,887,981,609,547,147,833,711,985,673,518,192,900,
006,379,798,942,466,776,951,768,395,087,055,683,240,191,375,023,915,873,295,
260,550,763,894,485,562,523,403,780,351,174,019,555,951,682,523,004,369,049,
152,494,534,710,611,333,461,270,774,419,419,918,803,389,839,193,305,785,917,
096,256,839,338,772,030,465,090,515,845,689,714,034,615,578,756,123,527,009,
453,314,942,589,811,353,923,725,210,435,514,090,609,521,737,555,038,556,657,
433,089,451,420,548,337,201,647,867,125,986,448,002,641,353,634,796,453,791,
357,749,676,840,506,856,154,342,189,050,524,551,728,259,935,972,635,183,822,
886,893,265,359,550,870,027,899,418,977,450,543,724,293,937,731,062,016,224,
665,491,727,520,602,542,748,962,560,380,466,983,018,746,625,186,897,190,900,
927,377,851,806,046,964,399,406,738,774,497,622,237,059,972,454,125,615,850,
212,453,145,308,010,819,229,294,603,190,948,658,260,394,658,624,156,601,588,
283,221,985,858,253,356,490,663,167,726,719,165,980,745,280,260,540,647,729,
644,604,729,757,096,316,700,056,454,244,620,396,413,516,075,541,870,025,684,
071,748,506,748,669,649,009,662,912,487,608,007,471,510,983,034,391,965,458,
454,444,775,585,743,046,769,862,964,679,329,418,711,653,256,586,288,570,067,
656,568,307,955,424,567,200,355,397,514,197,496,890,685,896,947,112,296,672,
270,086,871,149,970,304,699,146,262,578,472,497,977,545,238,610,456,458,992,
917,456,436,963,451,369,709,759,749,618,425,678,896,362,035,405,183,901,297,
335,710,426,712,042,739,277,795,903,415,655,761,489,926,537,449,806,206,220,
014,425,673,384,523,275,086,708,063,078,388,076,226,145,761,514,826,346,840,
604,270,739,659,743,500,652,250,173,751,717,977,527,645,646,952,365,731,794,
487,166,358,082,802,289,068,347,334,060,533,457,237,778,164,419,395,887,594,
244,737,174,084,207,352,213,043,557,856,188,396,794,155,352,506,809,900,888,
423,807,919,538,358,688,311,956,558,894,098,717,648,409,278,275,547,762,488,
153,538,614,183,884,265,062,284,880,867,783,395,935,944,376,465,154,253,323,
869,768,729,177,650,161,700,052,358,889,648,441,627,190,654,669,141,538,810,
119,870,395,980,571,718,341,191,347,480,123,418,147,258,126,202,247,364,987,
585,280,519,674,717,201,872,155,543,365,643,880,206,529,545,645,552,631,676,
768,203,897,826,852,132,096,593,235,000,375,988,647,777,639,970,545,766,703,
067,319,499,557,308,845,869,824,536,494,446,024,896,415,882,813,027,074,668,
791,443,598,863,547,355,103,345,241,171,951,953,004,382,816,635,379,995,062,
559,286,179,076,401,312,521,159,355,352,154,270,196,967,830,507,586,585,694,
417,469,631,880,795,152,767,787,078,861,699,435,083,177,582,122,240,723,734,
782,830,614,949,357,985,304,911,224,802,431,445,836,391,406,061,106,055,049,
259,522,107,379,532,316,345,793,471,583,888,184,225,271,622,114,886,041,431,
340,387,061,107,602,887,331,832,656,264,285,758,404,257,292,662,412,008,026,
910,624,998,210,307,077,368,622,539,312,571,133,972,998,356,427,067,717,604,
727,105,471,275,020,020,111,745,220,236,734,449,673,205,054,067,941,132,299,
034,315,356,407,387,365,863,894,328,212,383,490,946,899,239,156,902,210,997,
851,341,288,560,668,767,387,930,321,631,868,773,880,404,059,503,505,962,959,
856,846,822,683,795,325,047,030,085,005,537,813,662,865,144,778,402,329,873,
933,391,558,880,582,395,085,084,547,287,083,981,900,348,183,890,309,897,904,
676,223,654,761,887,079,654,206,961,092,633,854,254,083,287,796,076,178,108,
376,354,252,204,346,046,985,174,768,913,693,407,775,209,230,129,639,143,862,
984,050,935,320,276,207,618,247,255,555,006,583,960,939,799,400,832,804,372,
553,948,684,033,867,423,141,030,439,333,229,205,265,960,273,296,446,488,547,
987,591,077,061,022,992,180,332,577,514,060,386,866,668,846,096,252,818,005,
475,579,372,393,336,391,485,791,233,145,514,545,898,904,673,811,985,622,068,
970,305,587,604,530,865,274,596,767,224,126,303,864,807,472,948,255,713,663,
806,677,572,173,604,315,459,660,582,185,757,805,525,656,897,705,231,710,969,
189,109,600,216,622,278,823,058,817,409,629,714,431,691,425,148,176,938,964,
785,118,907,693,479,564,146,163,598,470,157,509,261,272,234,630,740,330,853,
766,782,627,259,629,957,224,657,249,866,695,490,767,928,453,035,030,022,750,
539,649,275,601,321,824,444,691,236,977,869,528,336,194,375,935,673,587,727,
756,102,928,114,057,601,308,777,953,837,324,182,628,224,757,592,032,458,243,
319,233,869,651,888,981,146,150,493,292,369,541,048,582,699,951,110,565,320,
981,339,450,300,081,449,139,098,371,878,205,387,864,114,254,653,453,424,345,
989,975,761,454,889,574,292,465,237,835,762,534,170,316,247,778,845,638,150,
344,016,674,822,046,845,430,678,092,362,216,184,320,493,491,086,145,162,160,
909,085,663,691,111,198,264,756,945,765,591,657,261,659,660,550,611,871,307,
067,527,965,148,962,365,926,338,464,945,639,363,965,063,735,468,463,384,122,
737,925,463,051,251,682,167,353,992,630,935,254,686,392,221,487,514,301,426,
598,859,165,668,365,575,759,879,091,336,833,674,739,165,119,462,453,154,518,
271,019,391,169,062,780,797,877,651,708,117,036,848,854,996,835,459,236,823,
609,788,863,926,517,627,299,352,053,772,925,407,584,516,481,019,093,497,009,
106,532,179,118,643,081,812,825,761,052,467,239,019,703,128,030,229,027,466,
899,134,027,632,262,627,832,334,420,918,527,591,588,642,973,254,881,776,280,
501,235,268,384,999,628,219,850,867,120,347,624,237,516,189,650,639,770,086,
073,259,419,588,020,796,737,647,083,747,578,694,277,457,451,716,335,518,681,
959,274,877,957,385,584,448,964,765,902,765,482,034,093,794,247,811,874,687,
568,672,411,764,895,391,689,272,092,983,299,203,038,373,628,774,480,904,091,
051,242,547,745,889,973,095,696,502,689,614,252,865,830,031,567,257,369,088,
762,392,574,039,882,069,598,642,748,034,475,449,278,933,707,213,419,591,492,
744,959,029,713,862,873,763,737,282,853,829,751,886,182,731,144,870,342,119,
323,693,224,878,745,738,525,277,422,800,682,304,295,803,391,729,078,069,721,
523,090,610,566,726,948,607,803,614,412,516,354,653,426,312,756,791,915,461,
375,282,405,254,866,943,226,511,230,836,226,294,065,506,552,602,851,192,984,
517,538,981,810,082,262,661,669,378,104,522,318,784,102,314,452,176,103,348,
715,057,025,642,260,771,599,550,384,054,408,550,502,448,042,256,150,464,711,
496,280,732,999,973,203,094,837,682,467,917,150,462,346,691,762,198,069,256,
368,963,412,482,101,107,267,102,599,926,437,152,327,158,811,602,227,706,985,
578,492,592,117,760,915,322,850,311,443,538,293,888,566,664,678,125,368,653,
160,025,322,175,694,534,012,751,558,304,255,180,472,382,008,374,425,607,822,
754,821,815,800,183,597,406,229,775,349,144,952,543,117,347,734,409,280,372,
843,185,403,413,326,358,678,568,731,171,550,230,988,437,599,272,928,211,639,
887,401,494,026,584,153,949,787,570,041,107,573,275,648,475,427,988,973,959,
375,349,678,810,319,497,395,847,224,200,236,367,781,536,884,593,773,485,466,
136,702,948,850,491,087,546,132,065,806,362,855,588,213,930,896,435,228,764,
502,916,817,929,067,077,706,941,794,771,301,907,552,371,461,674,818,985,667,
548,879,934,058,604,761,301,418,807,546,060,797,714,118,888,409,490,358,237,
495,814,976,469,148,189,580,605,922,281,458,914,538,609,251,347,106,516,798,
246,842,207,465,528,880,611,197,106,963,276,390,194,439,642,606,673,579,434,
669,277,440,072,515,094,126,984,860,427,398,311,383,336,569,523,632,354,851,
876,016,286,732,457,194,648,149,776,034,543,138,977,469,399,232,742,186,672,
744,995,668,177,687,301,760,058,913,183,795,683,065,154,200,968,645,168,892,
518,683,361,810,626,366,864,574,964,897,714,750,829,874,915,688,341,268,730,
027,111,206,361,819,623,197,509,771,074,119,632,740,987,445,813,404,063,061,
610,334,832,147,427,146,978,842,892,149,324,602,947,850,098,183,065,425,759,
502,097,658,119,278,064,329,135,094,914,891,905,033,835,204,382,731,257,441,
336,713,774,130,186,206,562,002,089,651,221,646,245,261,224,288,329,038,054,
537,014,599,022,192,750,275,745,859,866,781,988,255,504,492,304,462,180,582,
553,231,499,254,724,885,376,713,972,681,118,117,250,337,497,196,075,888,246,
077,206,822,663,646,794,973,373,089,988,574,032,336,124,258,554,367,122,265,
199,944,128,141,125,425,467,750,709,710,071,446,949,869,460,221,940,095,588,
033,948,502,156,296,738,840,014,089,830,966,580,625,634,868,180,773,055,844,
076,170,837,492,833,129,122,107,028,359,105,364,525,138,441,649,025,893,993,
610,594,033,016,419,571,187,192,663,954,616,896,345,462,572,938,609,189,734,
416,128,680,193,504,604,856,814,167,284,327,534,363,032,982,108,264,043,905,
124,707,691,095,474,643,133,186,517,114,194,588,257,389,118,604,805,684,221,
816,833,825,209,771,760,921,567,216,492,765,780,949,586,348,785,784,257,301,
583,698,777,543,561,022,932,616,274,992,048,948,276,880,764,130,155,215,294,
172,142,052,096,601,826,494,240,766,908,322,608,721,937,194,474,870,761,781,
309,040,826,730,874,231,264,594,943,665,469,132,390,977,513,220,340,440,958,
455,495,572,142,877,717,875,701,017,161,402,240,521,237,049,942,155,717,163,
585,501,859,305,471,121,668,410,908,564,656,327,582,429,239,610,982,366,580,
028,784,402,019,916,964,311,513,087,614,738,409,726,230,708,618,120,645,435,
556,728,306,314,760,341,107,950,302,037,626,051,622,123,716,115,153,059,156,
123,449,637,664,854,259,787,503,524,988,049,991,745,906,738,978,133,540,629,
836,098,870,397,067,675,821,707,810,353,367,123,846,064,682,851,594,054,644,
732,450,603,954,570,292,592,879,352,863,902,129,618,844,509,437,207,608,166,
080,141,272,221,873,906,027,611,483,658,802,374,647,732,234,683,015,541,264,
023,336,692,502,825,689,951,050,248,295,625,309,233,359,130,820,932,994,139,
488,829,533,203,001,313,991,108,901,648,792,197,800,077,529,080,023,684,145,
815,225,732,574,960,943,996,629,047,816,781,155,231,378,147,837,256,981,134,
645,942,838,084,026,072,823,586,293,993,838,182,407,964,512,681,319,631,757,
667,646,242,538,838,231,480,504,438,102,003,473,462,644,150,226,561,889,907,
639,684,554,871,757,256,394,037,086,104,898,321,176,071,425,946,178,776,809,
164,859,149,082,145,857,077,065,331,792,013,570,461,887,729,137,369,386,913,
215,582,549,924,915,084,445,179,040,566,813,359,425,226,657,697,675,930,005,
048,166,595,064,333,397,022,203,788,982,618,911,410,002,146,396,747,379,920,
854,062,543,019,783,514,781,472,313,277,688,363,417,278,632,346,762,844,839,
330,496,748,344,182,697,789,953,811,913,720,024,706,868,900,184,922,470,875,
241,014,775,469,580,515,761,468,859,211,473,781,838,312,433,032,893,263,622,
737,818,026,441,418,673,779,665,884,239,242,488,587,865,469,112,469,707,968,
854,430,604,063,980,362,102,893,713,869,635,701,601,857,582,621,189,278,818,
667,746,581,908,512,079,869,474,433,066,603,985,006,207,162,143,083,553,174,
271,432,154,156,124,895,791,325,365,069,802,863,144,655,301,077,566,049,830,
149,310,716,579,334,990,764,111,015,736,495,719,060,569,741,482,902,313,812,
594,648,873,477,805,633,033,547,642,571,773,889,275,374,129,833,067,908,829,
093,119,917,483,790,631,500,605,843,428,573,656,260,516,921,702,400,956,787,
407,572,057,031,347,703,704,749,226,344,129,187,251,211,749,535,036,846,114,
305,610,638,968,178,991,759,523,834,418,874,835,721,560,986,938,561,450,957,
749,084,160,919,928,341,737,088,956,221,916,842,881,646,412,358,264,998,135,
086,525,245,972,233,241,336,567,942,036,352,529,495,048,428,506,224,132,636,
365,253,951,875,834,686,079,051,751,650,886,652,251,314,220,495,941,956,409,
860,823,688,836,702,329,374,042,930,137,096,171,277,393,185,437,982,469,552,
300,752,575,183,383,258,973,631,532,473,441,399,356,833,974,680,180,557,611,
228,991,596,217,387,103,420,308,003,583,764,275,680,717,734,674,616,789,751,
100,270,816,989,137,534,507,067,600,406,977,673,059,543,870,801,205,797,034,
781,174,129,146,358,325,358,280,841,402,807,765,881,142,975,635,118,449,978,
589,167,710,566,067,879,043,855,363,824,900,752,068,830,926,114,719,921,074,
773,276,705,541,509,935,754,393,058,326,239,781,755,880,989,352,695,750,348,
664,350,360,990,335,691,117,055,659,048,807,464,991,515,105,892,747,917,919,
665,476,881,472,354,232,347,080,001,615,291,882,189,943,998,538,961,887,483,
561,352,591,266,637,857,790,490,137,709,385,395,606,127,214,312,968,729,574,
933,786,454,083,701,233,562,149,096,704,691,698,978,146,817,212,301,145,962,
956,794,150,244,476,788,480,677,530,744,262,154,793,262,411,487,634,899,092,
905,043,961,190,825,345,856,104,689,411,859,838,508,895,926,556,944,646,857,
242,823,964,989,393,074,118,841,880,076,452,891,026,760,239,686,227,525,301,
954,630,157,053,215,589,735,787,848,327,825,377,410,793,786,093,456,150,278,
098,832,531,397,818,218,472,460,456,878,489,099,939,308,090,510,589,294,959,
804,885,806,374,291,825,009,840,422,069,668,655,745,459,631,725,359,679,080,
559,986,358,066,329,335,345,205,904,774,940,126,968,013,227,640,106,815,731,
141,445,219,768,055,707,004,140,925,143,122,755,354,844,701,856,681,123,274,
124,603,916,806,365,499,284,885,286,373,535,267,155,056,022,760,419,982,997,
619,772,254,550,204,599,339,937,684,871,962,654,845,853,089,635,819,444,199,
328,324,998,347,349,561,646,623,985,933,893,769,813,727,037,544,982,770,575,
355,225,539,825,433,275,880,921,772,677,510,522,665,283,929,936,427,220,923,
877,520,842,321,188,382,795,366,576,425,636,117,258,340,601,276,834,657,242,
729,161,825,677,818,916,976,587,087,781,261,340,985,990,546,690,740,685,219,
944,761,706,352,194,271,103,897,873,028,937,013,070,771,827,381,330,895,736,
902,455,466,063,324,349,112,348,529,627,863,425,136,523,576,471,567,686,127,
088,694,057,650,512,794,645,749,996,746,393,415,240,676,997,369,603,431,595,
930,152,839,845,408,984,445,520,523,480,760,297,671,896,848,547,825,049,387,
279,405,256,173,307,570,262,442,924,639,773,044,992,965,093,041,446,232,267,
663,365,481,049,655,407,770,616,184,837,783,785,608,349,611,349,384,999,019,
557,072,280,382,594,642,132,503,755,439,116,009,833,433,746,060,838,734,176,
729,824,101,613,311,719,579,172,797,273,785,514,944,857,324,300,577,213,862,
262,902,867,664,495,700,057,993,416,181,486,118,774,823,047,427,421,211,923,
852,831,138,966,474,476,853,196,291,400,173,989,829,453,028,841,477,382,407,
537,038,976,994,583,599,850,946,510,416,356,703,177,300,141,867,087,896,716,
682,216,764,674,210,850,175,984,747,274,611,388,087,771,168,569,529,201,243,
278,472,604,523,401,552,456,214,044,290,145,111,666,869,667,580,068,328,948,
838,783,383,273,193,711,202,462,854,056,087,461,793,778,105,783,509,431,067,
531,567,023,506,363,223,145,422,667,985,991,564,612,450,888,882,399,215,693,
873,147,133,076,540,661,385,345,438,638,633,644,724,719,603,063,396,706,861,
370,776,538,970,508,905,450,183,780,123,949,865,931,482,964,127,811,317,283,
261,122,973,845,297,137,699,562,663,366,880,688,081,385,212,161,136,000,825,
701,702,317,044,810,304,684,568,484,182,708,578,470,155,995,032,421,307,588,
913,556,633,233,081,384,455,363,508,987,934,116,054,795,154,190,162,288,409,
407,879,941,588,380,490,313,937,411,117,423,542,208,986,518,210,465,226,804,
500,226,365,168,327,991,441,449,231,961,337,864,650,325,925,755,612,087,731,
320,639,987,784,234,638,256,648,798,287,321,468,205,493,762,653,341,677,449,
125,754,856,823,551,339,122,161,711,378,096,227,817,070,786,310,784,893,949,
061,431,794,646,808,635,676,731,195,794,211,102,483,732,256,537,243,497,208,
964,106,064,064,544,061,416,045,386,629,201,332,870,223,783,834,964,230,008,
507,779,347,071,660,571,606,746,652,337,081,989,132,135,695,642,426,964,219,
322,829,492,846,032,280,081,477,197,794,984,404,290,707,736,332,437,931,745,
874,587,188,910,823,464,076,908,322,013,361,797,683,486,259,242,655,918,838,
509,375,270,370,174,236,244,146,117,055,338,223,305,873,072,602,695,934,470,
548,931,858,210,839,969,712,923,211,937,359,134,274,177,627,294,916,617,437,
387,294,183,914,386,285,089,671,511,701,847,817,238,168,030,765,850,788,976,
646,864,217,485,651,134,214,256,590,785,941,493,522,674,037,934,866,714,944,
180,830,821,967,096,606,498,965,642,833,435,161,894,318,965,770,352,182,992,
461,180,424,453,812,367,524,938,870,506,395,987,746,436,158,178,516,816,590,
549,035,899,914,464,878,551,475,276,798,195,804,808,742,063,795,234,642,287,
300,746,251,843,335,010,518,853,645,257,193,884,776,681,220,724,474,888,203,
900,869,336,755,833,815,042,136,125,174,398,916,016,561,582,970,609,005,688,
389,130,864,962,986,941,231,253,700,977,814,444,734,008,839,918,579,774,364,
415,400,446,839,635,558,779,635,038,270,384,927,206,881,444,003,426,440,102,
557,341,028,711,746,606,704,076,627,830,549,004,076,210,226,493,139,222,134,
164,395,256,372,189,520,790,353,929,046,677,230,200,179,358,873,597,614,933,
909,015,679,781,894,287,030,780,990,710,689,082,961,306,082,693,163,217,226,
606,677,450,153,681,656,593,204,177,909,850,944,805,644,544,579,362,785,730,
430,811,699,892,915,667,072,295,737,862,295,940,799,829,854,230,226,603,277,
051,148,028,320,466,055,215,013,529,307,125,939,627,785,058,598,672,274,899,
810,546,820,190,162,764,413,780,160,100,439,164,557,744,197,296,813,936,411,
671,103,085,236,100,613,406,255,517,573,932,832,420,048,875,210,559,672,902,
682,290,580,105,672,141,435,414,893,576,388,311,479,994,331,778,484,191,271,
473,883,036,201,566,759,587,243,547,922,610,525,556,984,057,186,902,561,498,
335,551,798,579,768,157,238,324,106,536,600,713,077,267,925,603,496,719,613,
927,987,341,612,513,367,293,992,516,244,473,715,729,674,760,718,561,869,353,
710,298,015,920,239,658,960,676,934,818,774,780,706,908,587,459,365,595,545,
797,528,860,958,815,170,678,535,427,905,383,156,292,120,786,279,947,595,459,
956,487,991,552,497,479,646,399,207,960,088,963,999,594,751,937,150,306,674,
032,672,952,120,137,619,449,059,828,323,480,731,092,859,733,950,292,479,209,
033,309,291,640,970,719,686,753,464,898,665,294,245,031,615,889,301,498,362,
859,383,055,789,435,623,939,792,004,707,509,126,418,393,211,973,482,839,740,
831,212,900,869,164,986,710,217,831,186,332,370,457,646,394,610,931,865,306,
679,690,947,954,410,290,791,150,165,735,493,173,980,890,877,408,785,752,060,
872,865,684,300,402,339,311,634,674,723,209,476,849,022,169,772,811,806,396,
050,346,159,003,334,710,610,314,535,507,452,130,402,353,518,153,852,745,639,
164,198,779,210,757,119,719,433,551,906,892,795,956,836,238,973,299,238,259,
290,000,176,675,031,823,005,780,804,493,810,957,222,016,526,618,903,738,109,
577,564,688,736,268,633,475,294,412,943,790,627,765,756,005,278,407,452,438,
546,628,897,202,609,802,851,382,219,809,720,973,605,288,958,221,250,580,386,
188,099,032,005,759,417,220,593,059,159,422,340,667,667,093,851,560,302,828,
799,113,720,275,592,182,455,595,770,073,029,673,558,525,453,111,565,542,224,
866,827,675,629,713,796,283,973,544,734,051,994,721,229,853,790,386,974,931,
488,032,069,864,069,114,276,507,632,994,458,444,563,425,438,466,848,328,311,
594,697,146,776,133,258,578,718,716,348,875,200,218,148,776,556,278,608,297,
813,422,301,165,622,209,246,165,676,402,835,134,470,515,802,878,907,728,528,
730,243,470,172,551,572,011,511,518,051,412,553,313,099,135,460,374,642,560,
245,080,889,885,951,821,268,204,737,734,621,420,665,316,829,626,144,953,525,
510,557,858,197,423,138,620,392,552,835,108,756,947,394,236,052,618,148,644,
670,830,335,484,760,687,431,141,084,356,021,417,599,527,057,224,779,862,750,
595,167,512,234,202,119,698,774,407,268,777,988,848,763,313,349,421,566,725,
100,718,931,602,959,128,482,727,676,338,326,514,909,530,060,731,864,714,524,
406,045,930,351,633,292,628,497,433,691,002,359,187,747,530,561,419,559,784,
914,668,827,490,504,463,510,503,364,833,470,927,427,135,403,955,647,410,744,
523,015,941,508,765,891,657,208,741,745,098,778,182,157,613,789,765,265,106,
748,235,991,891,495,091,327,088,776,604,992,654,464,095,254,857,067,119,609,
798,983,198,444,468,649,151,676,473,543,422,417,960,644,087,486,834,664,284,
018,330,271,554,821,970,163,963,577,049,915,855,318,638,600,570,827,497,642,
879,829,688,474,590,448,075,016,851,123,162,722,216,363,860,869,397,175,115,
978,344,273,650,996,493,263,846,334,618,042,528,624,077,779,487,527,669,940,
763,186,160,643,372,144,588,073,744,300,149,665,022,063,024,909,331,280,588,
217,353,188,741,086,157,030,689,994,251,800,968,411,452,359,737,859,263,631,
037,197,858,356,947,301,780,466,206,897,279,878,139,137,777,419,886,778,232,
166,835,149,786,388,716,479,380,842,188,224,363,112,415,004,048,394,402,876,
581,134,954,285,771,531,561,945,347,809,522,195,223,274,058,387,053,145,258,
530,422,346,511,234,617,504,259,607,098,449,413,456,124,093,014,377,686,304,
269,791,591,225,448,165,007,170,516,739,058,968,000,804,952,739,079,364,791,
415,620,739,693,601,160,691,181,031,008,761,748,346,801,449,202,305,247,398,
186,511,185,942,092,120,143,144,471,464,356,438,630,957,421,009,024,385,000,
353,950,628,331,545,433,428,997,471,762,404,805,275,093,851,977,088,334,179,
482,410,201,293,589,175,995,670,435,855,412,986,853,592,817,492,195,748,525,
728,066,385,813,963,889,682,582,802,884,881,769,990,801,530,424,960,524,056,
424,006,321,844,869,509,479,039,221,533,350,924,033,893,058,168,558,644,409,
535,637,986,958,382,763,154,558,533,724,552,878,961,972,847,129,050,337,167,
557,019,567,360,556,396,385,603,594,626,553,224,426,676,015,699,865,428,451,
288,980,075,347,901,502,361,070,402,031,270,525,940,061,307,980,951,121,311,
693,823,881,119,442,336,168,744,531,101,808,019,207,479,840,145,794,366,573,
110,843,801,184,766,467,353,065,761,625,131,220,473,428,990,434,411,893,377,
348,401,747,425,963,077,831,879,733,152,134,498,494,349,987,858,226,309,657,
950,453,525,796,192,227,151,770,947,913,707,360,368,132,757,791,162,864,059,
349,472,580,283,255,869,055,274,978,133,312,601,828,044,387,335,817,364,589,
311,082,392,375,962,798,321,125,473,658,794,839,049,400,539,828,642,734,765,
555,277,659,029,393,997,308,678,385,888,199,964,485,909,813,556,263,137,231,
273,090,665,656,144,048,651,960,265,609,472,389,940,442,688,229,036,312,985,
598,664,485,327,092,734,295,619,578,834,684,582,824,549,799,867,113,851,515,
157,486,305,258,785,264,061,601,182,099,684,531,868,593,196,240,165,383,500,
298,856,375,933,262,221,341,498,809,864,506,404,228,159,670,093,177,865,198,
616,879,121,985,137,164,545,266,433,631,530,507,478,273,098,479,306,779,093,
314,767,762,936,167,131,507,241,983,185,940,180,497,778,700,802,192,554,953,
833,012,023,651,762,460,559,741,296,641,496,660,275,721,735,570,484,641,240,
834,523,359,761,323,457,262,271,080,969,200,027,110,638,093,423,326,435,853,
086,234,096,984,134,252,031,763,781,598,381,936,019,896,935,341,436,475,046,
479,647,242,097,929,371,097,288,474,733,191,285,494,693,864,559,225,573,495,
741,111,794,344,198,962,024,096,315,341,295,063,494,501,272,941,441,147,260,
979,155,499,461,232,511,460,943,363,105,456,977,343,141,911,925,736,269,630,
718,741,873,840,724,269,683,479,356,659,828,324,212,858,069,171,331,500,678,
839,624,103,859,259,106,212,747,487,498,237,852,970,831,840,875,332,929,575,
047,634,803,034,729,460,431,900,158,734,754,602,096,129,470,618,059,094,262,
559,342,057,834,557,693,406,496,761,799,357,251,284,372,691,179,885,144,045,
821,496,383,655,649,567,241,116,038,632,944,707,420,604,978,388,685,988,544,
964,079,227,149,769,569,742,929,861,657,498,713,681,553,905,951,525,929,663,
604,123,487,210,810,599,573,995,391,704,152,501,748,189,834,811,637,748,415,
470,475,600,346,131,597,851,608,821,731,045,088,239,472,551,811,163,775,322,
443,077,790,339,272,686,980,340,991,556,687,572,360,939,884,392,284,297,482,
874,461,514,264,601,146,755,724,463,103,244,739,911,501,344,394,529,613,925,
070,125,577,061,671,067,625,139,422,782,474,620,416,690,484,617,256,268,511,
848,664,043,845,856,287,087,520,953,090,127,422,461,969,208,157,489,889,125,
535,506,767,607,251,196,912,244,790,214,333,628,413,115,502,760,816,535,348,
658,294,562,306,147,582,985,059,705,259,808,674,810,022,821,353,954,352,243,
714,389,263,401,940,329,289,533,231,165,674,261,100,550,836,955,267,130,639,
879,521,125,715,131,429,810,172,379,312,841,719,571,665,375,697,594,257,600,
096,749,265,553,828,188,709,660,707,736,485,472,291,042,829,430,451,253,858,
506,971,055,123,814,455,350,508,835,688,185,970,253,731,117,462,425,888,357,
752,032,309,391,282,882,973,955,594,973,599,496,257,287,366,966,293,432,924,
935,470,550,159,015,671,589,779,360,629,901,027,464,164,429,779,553,520,774,
246,482,622,803,806,378,384,186,634,061,827,360,322,695,314,274,225,687,744,
162,255,492,920,654,716,293,165,520,944,387,068,302,693,224,489,286,810,427,
995,054,847,366,974,068,348,091,730,191,664,114,434,577,822,059,208,429,095,
899,687,055,751,757,386,293,813,703,846,318,101,949,700,212,617,328,644,317,
042,883,797,168,145,781,876,638,248,372,708,333,207,775,103,033,349,781,817,
909,898,742,912,983,648,383,668,470,093,168,246,213,272,772,590,867,903,604,
170,418,033,993,400,483,888,027,412,037,240,898,463,684,178,388,945,298,982,
024,149,572,809,351,996,166,547,750,934,236,711,360,657,236,886,843,206,927,
859,047,324,323,422,985,430,693,205,583,393,521,902,046,763,684,535,267,917,
484,571,038,594,235,215,477,449,130,595,705,732,396,731,337,089,656,143,884,
177,069,182,768,020,813,026,918,917,515,308,660,035,245,979,788,093,052,449,
775,766,304,075,889,367,330,819,124,511,566,065,613,823,341,711,751,757,574,
339,894,165,646,075,056,703,314,205,392,943,072,509,713,263,301,049,392,167,
288,447,120,547,465,282,910,017,425,479,713,118,990,216,343,354,388,545,555,
237,340,892,752,801,001,926,938,591,562,851,069,076,918,092,842,346,239,326,
511,391,134,000,213,675,775,816,487,975,312,955,611,470,243,305,442,857,974,
480,748,737,884,604,591,809,685,348,275,922,221,904,756,366,683,226,063,238,
457,493,071,598,695,734,950,552,102,594,240,751,203,277,776,696,515,807,759,
804,850,265,075,329,686,132,104,610,658,046,336,351,533,260,250,137,831,237,
841,338,884,624,176,756,066,564,009,091,879,301,330,748,344,601,830,504,090,
636,149,989,712,618,175,319,444,944,175,948,217,203,801,334,436,562,944,588,
492,514,383,406,148,563,916,936,134,874,168,809,347,086,233,143,836,700,681,
637,492,096,389,960,894,778,674,582,394,040,311,687,347,686,627,769,801,961,
693,405,654,945,833,027,437,292,511,822,725,690,580,643,918,892,211,794,806,
330,775,353,693,179,986,421,335,242,638,692,870,877,156,300,000,092,552,709,
113,883,227,422,871,264,481,102,956,583,726,901,339,756,664,383,526,576,123,
190,940,212,358,708,555,779,969,060,475,742,393,309,371,010,640,901,092,095,
863,284,017,898,356,238,401,585,637,717,803,059,214,636,014,462,043,134,504,
392,653,107,966,416,568,661,963,413,799,267,345,814,444,650,764,928,439,649,
482,451,453,546,555,643,421,840,067,860,348,116,836,336,692,603,276,075,928,
585,247,350,401,608,951,938,806,523,456,147,007,616,070,344,099,385,745,645,
651,731,841,399,337,797,201,636,339,441,062,872,334,249,347,682,404,849,722,
059,901,249,827,206,224,716,983,614,777,875,866,567,596,268,416,948,432,418,
661,520,359,198,058,627,581,884,687,542,511,197,569,192,426,750,584,052,282,
649,826,449,770,338,742,636,047,775,742,940,185,012,386,338,449,753,267,075,
840,025,665,731,974,418,504,258,435,969,358,210,089,017,327,689,711,009,648,
474,636,537,800,133,933,394,592,315,190,534,636,441,559,647,757,008,943,321,
614,301,547,730,799,327,531,395,057,359,687,289,792,961,795,499,895,363,072,
582,995,803,043,167,617,189,280,221,070,797,940,833,870,004,148,505,292,651,
315,029,503,235,495,471,736,153,636,974,334,902,400,518,640,185,642,196,320,
617,256,306,305,420,600,100,104,048,128,723,417,761,224,872,324,159,756,069,
816,482,263,350,166,742,968,878,917,762,440,825,281,349,101,405,672,620,777,
222,219,632,714,676,907,542,467,519,168,375,152,714,674,103,464,994,791,318,
776,247,800,212,322,053,720,019,195,094,093,446,392,670,193,530,064,740,361,
069,006,217,588,202,868,801,391,301,064,073,497,929,676,301,081,155,969,129,
748,550,704,855,157,086,703,863,268,107,626,663,725,627,184,533,580,221,055,
288,013,311,060,034,990,182,137,024,535,945,477,820,831,237,841,992,240,581,
131,263,160,636,967,320,723,157,837,682,762,080,953,722,913,935,698,629,667,
375,764,363,399,463,666,347,627,109,679,248,003,910,691,473,508,974,892,033,
196,632,111,779,954,684,427,163,079,585,367,630,939,879,387,921,535,220,721,
377,493,857,796,316,395,232,404,326,437,759,765,743,115,544,577,065,945,061,
220,505,835,182,691,033,640,857,228,993,430,984,637,597,594,029,887,481,971,
452,719,669,549,332,122,303,886,803,028,329,990,042,490,926,417,213,526,824,
425,690,067,953,938,869,104,257,811,783,917,736,571,580,142,125,829,274,987,
123,427,512,390,840,614,628,406,137,544,306,414,605,204,701,744,728,029,139,
503,063,105,587,843,871,051,527,781,055,928,302,774,800,041,322,454,342,346,
920,647,876,989,978,664,060,214,246,305,074,917,858,614,115,516,784,168,351,
914,195,158,898,370,175,078,460,537,047,265,034,484,486,417,977,251,200,746,
997,120,400,830,142,963,806,632,719,690,252,571,674,226,572,616,947,523,464,
222,892,456,140,835,850,399,487,006,153,364,116,956,384,440,255,682,084,992,
057,910,829,155,098,455,688,792,849,802,976,714,358,559,715,630,373,927,664,
743,898,975,005,707,832,488,341,796,609,899,418,054,720,046,630,562,511,111,
515,469,495,365,633,298,557,959,556,040,953,628,535,800,032,366,086,598,900,
106,165,217,829,280,284,255,566,487,192,441,408,432,013,170,511,958,768,459,
089,213,577,440,865,981,679,609,814,449,996,664,205,021,709,232,743,006,692,
670,336,628,628,152,023,513,129,412,328,167,955,712,923,592,289,105,528,212,
393,042,521,919,763,187,130,915,336,519,704,870,248,905,320,249,166,871,064,
861,958,893,902,311,301,807,897,700,008,659,417,143,224,872,999,965,836,377,
944,026,300,655,731,463,323,416,827,380,185,056,072,955,634,309,561,675,237,
804,248,228,992,652,379,681,309,382,594,556,859,654,684,458,602,583,118,661,
599,845,855,879,261,522,746,147,963,503,432,418,219,662,421,438,740,067,401,
933,994,908,025,661,223,905,718,743,459,303,418,439,239,303,819,979,722,626,
583,191,869,096,057,681,257,703,330,267,731,135,852,501,841,200,450,628,467,
173,493,679,104,778,610,996,974,100,472,106,393,713,903,679,270,956,600,931,
679,186,594,443,706,631,043,318,314,064,758,071,051,244,060,994,564,656,464,
024,786,453,741,751,322,227,686,722,809,439,401,091,894,692,060,379,175,895,
565,461,112,086,024,830,009,049,902,458,678,691,168,899,504,585,089,218,336,
577,746,796,280,457,944,379,489,516,444,670,294,276,079,629,779,114,220,619,
696,410,421,011,646,879,268,765,145,965,064,507,499,726,757,354,893,133,176,
888,649,558,336,215,587,934,432,855,377,768,714,917,199,231,662,341,337,637,
107,585,524,658,005,395,368,413,135,836,271,762,702,579,531,381,833,501,240,
340,490,640,090,775,806,242,805,761,713,273,631,933,494,741,716,819,064,730,
374,460,172,323,099,369,123,060,360,957,175,518,188,793,481,348,247,931,074,
594,971,372,093,823,649,415,727,316,450,614,888,044,686,686,375,623,392,042,
180,068,972,024,781,290,369,996,159,895,723,903,988,862,473,394,463,351,342,
089,855,987,298,947,196,621,486,634,091,160,031,157,427,815,784,085,795,499,
006,217,732,288,851,025,174,460,533,902,923,095,508,610,229,592,666,544,594,
563,304,632,711,033,651,605,812,943,532,612,285,634,930,458,716,593,175,944,
256,869,674,709,282,497,491,460,675,237,901,344,951,548,035,729,284,924,282,
373,283,893,067,388,836,046,276,092,837,969,564,660,026,937,418,158,133,410,
447,096,428,411,664,024,226,181,496,597,000,992,124,339,722,183,093,969,659,
403,147,102,097,985,226,993,294,310,021,049,444,340,236,139,153,337,960,539,
948,182,632,278,709,744,103,645,307,210,777,708,326,470,939,645,730,363,613,
676,964,321,404,012,256,439,066,175,919,461,944,816,616,259,014,536,251,257,
254,245,319,613,144,537,754,426,304,699,221,062,326,735,715,772,393,973,734,
071,416,128,229,082,545,303,003,340,572,504,601,185,864,110,201,830,848,868,
520,592,431,807,534,648,460,896,817,714,269,630,236,278,466,270,125,054,362,
891,102,994,313,062,178,492,252,616,729,591,211,226,239,034,165,256,699,100,
758,102,503,219,342,165,618,848,375,380,466,713,490,387,910,166,457,398,112,
149,218,695,867,092,711,561,715,707,006,394,846,875,842,314,908,388,962,677,
192,986,306,397,191,725,267,240,284,810,108,877,648,760,625,973,314,874,175,
224,444,682,973,554,607,277,548,877,769,703,270,460,779,934,920,704,404,819,
955,291,281,180,177,838,255,338,724,888,312,667,260,597,881,521,955,711,271,
544,959,914,395,966,837,433,903,856,001,483,090,396,135,124,922,133,988,269,
055,462,644,177,771,663,332,397,999,212,767,340,864,773,046,969,616,658,978,
020,269,372,279,974,760,669,025,623,354,596,702,043,823,162,616,668,001,116,
528,128,869,625,890,194,573,330,193,928,298,278,417,205,904,241,804,979,120,
466,043,028,799,768,598,542,135,540,423,755,073,142,079,497,009,056,769,523,
904,514,240,374,256,148,349,275,227,435,011,442,683,303,736,088,427,008,061,
736,285,173,286,714,428,519,281,832,950,847,300,183,778,599,464,781,436,791,
109,304,559,111,176,234,621,540,246,285,501,605,005,588,306,444,580,009,160,
723,157,058,143,232,497,480,594,867,923,462,303,601,195,325,641,746,672,794,
383,221,402,447,828,124,778,204,758,759,519,405,514,983,798,049,009,096,458,
168,285,997,511,636,792,004,158,436,894,500,658,171,031,641,274,766,619,815,
670,099,249,156,906,910,374,663,789,734,924,949,054,778,265,701,699,880,013,
550,584,123,768,340,158,915,254,361,858,494,738,521,117,428,097,888,122,151,
480,301,267,586,795,717,690,523,928,609,307,056,424,569,761,709,745,137,950,
189,020,829,814,948,344,057,852,346,950,942,748,859,908,907,658,114,414,217,
130,009,051,901,577,311,678,069,329,000,176,403,358,800,147,335,462,896,712,
785,214,149,548,638,236,364,224,541,602,265,815,693,653,204,359,988,666,591,
236,632,051,012,294,297,356,795,716,962,091,854,736,350,690,929,426,385,700,
934,025,603,906,729,839,292,035,140,447,924,584,663,434,384,719,117,248,795,
098,994,583,441,533,295,571,419,186,938,479,479,920,668,554,785,233,232,777,
974,980,004,732,010,763,311,214,914,633,288,614,452,792,611,397,231,861,140,
372,112,614,805,725,413,305,150,177,813,770,266,309,497,062,453,308,802,831,
344,600,104,381,344,109,180,601,609,021,243,763,381,258,380,871,024,617,125,
272,626,957,880,428,519,788,810,068,175,723,849,562,734,796,064,145,611,463,
319,170,585,433,265,238,445,175,731,195,647,707,525,680,155,860,396,480,717,
417,207,407,317,529,442,945,422,557,983,343,672,826,002,317,205,381,993,331,
476,501,750,053,043,573,619,065,907,188,810,274,256,894,735,093,174,913,492,
213,297,849,556,420,715,054,204,206,142,210,925,323,540,331,159,220,761,578,
427,290,438,305,963,169,523,730,350,612,146,539,245,000,030,580,926,457,644,
006,095,317,966,372,381,192,536,956,656,952,307,758,327,918,319,934,549,880,
791,070,155,968,510,044,940,649,809,826,479,783,289,218,649,140,755,416,854,
828,895,949,542,268,091,885,291,575,110,602,684,067,616,174,989,904,462,499,
264,496,516,638,071,028,111,443,708,394,520,083,230,662,002,987,130,699,422,
092,660,962,164,801,737,092,444,438,429,177,298,958,352,371,314,617,801,802,
523,894,782,955,526,824,889,533,817,036,045,367,605,586,999,832,668,133,931,
435,307,731,413,947,916,772,767,041,332,308,112,641,019,673,449,928,988,473,
107,449,563,800,511,390,496,334,237,177,010,558,494,799,596,137,384,351,995,
884,624,144,284,081,326,310,070,551,766,648,382,152,657,530,056,626,021,725,
407,805,989,797,571,425,702,153,161,711,824,130,859,888,516,547,510,541,173,
030,706,217,839,077,385,993,175,442,602,349,693,860,645,148,234,630,130,413,
598,104,207,466,474,176,473,863,008,509,301,188,033,979,814,007,131,021,909,
154,113,957,464,055,183,450,139,924,201,831,482,987,972,035,021,351,317,636,
841,459,365,125,919,038,247,606,230,587,919,924,968,460,634,499,030,134,654,
853,865,454,055,471,045,896,980,542,526,178,178,630,543,143,630,891,971,526,
815,101,093,610,168,601,444,476,131,581,671,582,609,330,295,484,176,517,346,
316,644,858,286,220,657,544,492,878,536,508,500,368,562,244,226,057,231,023,
519,854,325,443,785,769,725,601,661,118,958,620,927,462,190,221,403,276,287,
112,390,062,543,429,481,812,358,352,251,324,919,200,491,745,251,952,056,045,
462,559,087,678,948,163,545,813,267,412,373,934,399,306,581,499,929,727,257,
809,984,946,826,094,942,112,774,149,342,474,462,562,997,981,194,818,905,284,
918,290,982,114,959,225,034,660,851,643,924,288,708,497,527,313,809,704,174,
074,564,896,981,519,547,783,187,489,393,365,013,264,484,939,217,311,095,289,
120,439,564,388,471,218,731,731,352,527,104,234,559,233,474,656,076,831,043,
451,360,545,403,039,783,184,758,379,993,097,422,611,851,989,980,754,835,993,
694,620,896,741,338,800,076,378,938,775,312,241,103,085,444,839,852,300,933,
474,887,320,786,282,196,192,707,413,028,034,322,686,080,794,012,908,301,650,
404,710,753,233,347,163,571,071,302,617,980,740,836,773,020,840,835,399,960,
676,979,045,485,626,609,979,171,774,326,523,065,255,970,647,696,878,141,029,
679,329,777,792,538,961,658,317,000,164,997,545,454,065,793,931,248,677,263,
123,440,481,431,471,859,795,466,786,051,081,277,851,544,299,126,387,953,659,
945,842,636,246,048,416,534,809,674,275,382,009,175,032,667,326,861,171,294,
452,206,100,993,646,920,071,976,333,581,736,973,831,424,021,278,436,625,490,
037,001,468,143,406,845,571,107,767,317,935,302,106,886,060,127,871,421,620,
916,442,449,006,902,292,592,640,116,030,840,755,387,315,956,863,933,273,778,
287,139,324,931,016,068,244,980,651,711,388,322,786,915,236,765,820,286,475,
133,159,473,778,356,134,809,818,930,103,363,261,995,277,263,662,656,032,896,
110,725,628,499,209,736,041,544,668,233,324,583,438,326,439,340,359,780,653,
995,518,877,780,526,132,853,240,591,006,931,182,885,248,973,107,487,892,753,
924,086,775,540,207,162,678,383,182,724,420,706,387,844,397,038,506,354,661,
775,624,601,309,812,164,123,951,930,385,359,722,585,640,846,070,484,988,135,
219,161,532,530,081,372,669,503,282,705,926,746,112,882,029,108,698,110,456,
445,673,357,262,644,345,771,526,598,120,342,129,108,436,458,978,224,822,685,
133,972,644,568,383,215,622,685,004,677,501,230,942,730,992,856,043,177,278,
573,562,932,544,996,918,269,239,329,401,969,026,442,371,043,236,715,858,426,
316,686,151,715,865,279,771,854,107,632,129,594,357,440,424,308,650,872,421,
182,022,892,011,606,588,646,314,402,584,554,699,735,679,132,985,826,067,003,
071,821,272,988,541,309,098,630,737,434,026,269,363,517,218,470,614,100,891,
682,653,084,986,410,204,816,137,429,911,440,370,708,232,898,018,781,544,620,
719,948,894,797,641,131,678,354,946,111,027,573,289,040,499,493,691,774,129,
371,561,879,272,253,578,912,753,694,438,897,572,344,489,027,338,471,718,884,
114,922,032,762,591,889,011,358,660,584,495,993,433,845,059,469,222,649,296,
196,155,661,406,612,578,646,340,161,814,515,212,396,831,500,903,712,062,413,
099,127,788,861,799,576,706,736,924,510,728,208,164,447,172,829,693,809,673,
931,109,548,497,162,891,851,754,681,309,976,189,484,170,415,782,780,479,052,
877,739,869,254,539,757,800,966,716,054,447,938,839,909,513,163,859,375,298,
283,212,854,708,698,619,700,379,686,790,539,684,015,776,859,773,006,353,096,
424,663,669,692,944,115,167,779,230,013,764,849,115,006,880,299,571,635,155,
395,622,066,901,007,650,117,451,494,405,040,308,927,379,632,956,713,013,365,
957,052,007,075,247,182,712,616,397,954,387,858,275,495,140,963,524,701,490,
198,421,539,667,020,847,446,087,399,026,522,807,375,007,833,324,848,934,206,
347,149,305,460,109,772,575,060,721,687,833,325,567,871,449,014,917,117,470,
028,115,812,767,921,033,207,969,662,934,592,028,279,530,040,463,735,019,332,
927,898,536,224,704,108,741,342,737,970,185,756,167,376,933,105,786,112,253,
083,599,662,842,219,611,283,151,523,380,312,439,322,775,981,625,541,963,469,
923,651,336,755,240,126,518,652,152,108,084,170,739,803,557,498,884,288,883,
064,620,583,542,560,830,523,827,946,428,911,062,373,186,803,931,236,341,143,
444,659,181,365,957,803,303,055,118,521,288,475,397,959,652,364,429,715,457,
445,136,713,456,884,547,218,924,407,229,903,279,850,251,252,057,032,682,322,
279,884,753,842,310,031,904,578,311,278,220,549,603,914,445,918,547,937,480,
423,191,015,194,112,247,914,044,000,827,061,969,206,112,251,378,101,257,579,
428,494,909,500,796,919,295,799,880,280,523,780,460,676,391,966,226,256,665,
834,144,997,132,353,998,310,110,239,467,178,802,937,678,208,989,425,554,563,
536,217,599,293,844,095,774,552,237,028,648,171,793,677,497,967,495,438,324,
675,416,037,147,444,819,690,333,560,340,190,602,344,459,246,762,505,722,489,
244,995,542,296,142,985,600,464,453,263,351,381,746,729,244,666,879,059,374,
328,569,819,518,235,449,772,341,231,555,821,453,731,512,327,448,114,069,293,
531,228,250,706,267,526,269,455,078,732,712,030,761,293,858,876,389,544,396,
010,042,508,288,400,297,409,222,957,188,847,812,427,475,249,118,368,506,912,
349,317,229,520,424,769,296,726,580,984,252,630,076,733,506,254,840,477,131,
353,490,234,264,897,673,664,573,095,465,515,575,261,623,549,464,570,931,200,
844,111,904,734,143,426,981,811,613,650,459,783,769,666,213,243,287,085,806,
477,198,580,818,271,614,649,108,289,845,104,908,998,008,373,254,414,306,482,
013,793,441,500,755,607,927,868,010,408,914,113,558,327,929,264,136,037,530,
399,514,619,555,389,653,397,381,283,710,856,753,922,229,179,993,337,849,250,
145,771,664,989,057,877,084,348,996,543,388,026,683,831,251,306,044,010,731,
991,046,860,447,074,151,662,836,557,250,126,214,734,361,590,437,844,921,576,
436,356,921,864,986,828,700,176,158,025,667,796,775,551,660,408,202,764,250,
993,792,168,163,672,769,277,674,490,607,864,628,026,021,972,610,867,197,211,
057,581,449,405,347,503,678,991,467,600,733,742,122,297,453,575,553,490,024,
838,790,205,514,607,316,271,845,599,163,608,102,254,567,176,006,595,868,349,
431,721,728,806,597,740,536,717,078,685,595,419,784,190,432,559,763,545,904,
770,701,039,862,947,311,942,957,503,594,517,917,242,179,981,272,853,562,418,
761,817,244,616,605,457,223,084,843,971,000,826,073,587,277,948,175,321,472,
872,962,528,205,082,608,833,848,019,513,171,945,400,764,855,208,241,795,429,
302,054,725,024,576,877,176,637,629,227,571,604,315,498,550,625,135,058,101,
430,788,164,476,362,901,353,278,920,544,255,403,260,239,012,547,029,411,583,
996,781,202,636,064,735,187,124,644,281,335,494,731,811,217,034,018,744,538,
970,816,938,558,001,186,832,672,897,456,969,462,458,214,804,200,529,724,916,
734,453,354,872,349,465,759,178,941,038,889,506,373,358,472,394,109,570,503,
620,956,941,185,074,646,207,662,845,736,366,433,656,612,659,518,761,263,457,
247,289,352,550,353,856,964,678,522,616,563,131,242,035,790,337,560,982,774,
019,005,646,198,273,383,810,790,584,016,638,436,214,316,501,998,979,769,496,
581,118,995,323,574,482,386,205,999,725,000,522,987,304,683,360,933,806,449,
611,343,460,602,306,678,194,870,623,545,652,706,239,322,740,712,337,338,994,
345,641,776,928,875,177,354,121,073,420,195,304,309,205,987,438,762,162,879,
500,093,985,920,474,891,486,791,374,115,160,163,053,697,901,694,271,490,182,
565,644,258,862,456,170,420,945,709,683,047,528,266,231,945,838,610,349,620,
895,341,529,846,935,978,778,114,988,710,510,226,719,757,523,754,267,002,515,
582,121,606,790,344,292,342,412,804,245,645,371,988,161,243,913,425,019,186,
743,681,862,229,213,897,954,104,750,501,646,538,757,055,749,608,804,499,531,
128,696,930,164,275,201,081,454,222,975,517,255,435,024,993,004,669,929,029,
738,936,396,444,421,210,646,835,649,042,085,425,806,676,317,806,955,621,286,
351,918,209,747,140,469,939,017,128,712,451,817,070,762,275,282,144,433,698,
362,499,028,836,480,285,888,483,604,278,634,239,739,921,777,228,110,475,138,
446,561,912,706,877,080,112,058,665,960,491,178,750,927,571,258,855,894,085,
349,640,046,804,264,534,158,675,663,563,254,781,723,620,363,990,207,249,974,
392,012,019,271,178,456,876,260,444,877,312,047,201,446,772,989,503,975,414,
344,204,706,367,202,615,789,848,294,046,998,490,541,600,102,610,596,720,598,
344,566,225,074,476,745,766,332,251,763,406,083,287,329,188,417,695,431,001,
216,234,093,311,372,514,480,111,526,956,299,577,698,270,872,099,165,149,919,
582,409,637,241,466,461,132,681,168,678,068,531,181,300,259,814,667,354,549,
567,755,491,765,335,778,419,832,446,405,176,239,018,077,781,830,210,703,055,
674,060,878,308,251,122,852,522,763,967,017,782,828,863,846,286,399,751,510,
790,061,592,203,858,022,129,523,357,478,087,554,532,402,717,105,598,775,179,
686,600,501,412,265,755,922,807,016,131,305,327,820,099,125,782,694,467,236,
318,441,771,302,801,798,448,106,989,933,370,396,944,940,211,920,221,395,517,
504,027,137,860,360,508,999,411,531,417,100,145,625,803,545,803,401,562,535,
778,982,776,360,878,363,251,710,706,380,280,981,241,025,099,978,765,022,776,
763,314,035,328,628,641,520,328,041,736,971,285,690,297,712,219,459,534,536,
811,767,163,443,799,303,132,461,503,706,705,686,340,678,522,190,320,650,185,
123,391,454,472,112,182,699,210,529,959,617,820,214,969,698,034,427,694,633,
840,645,514,979,637,278,129,087,837,103,989,113,880,400,873,927,912,182,492,
745,643,144,144,662,360,812,205,610,469,523,401,992,875,352,770,586,222,197,
863,784,256,720,507,346,261,322,117,294,788,996,150,938,520,498,866,713,340,
907,184,523,460,222,374,395,500,995,661,222,085,828,773,142,184,994,027,148,
363,234,741,682,916,615,853,801,421,155,702,473,070,311,279,290,368,971,409,
879,816,401,986,416,366,492,542,865,680,914,638,246,488,554,635,214,213,021,
961,679,284,797,470,284,144,764,125,325,981,339,049,473,822,418,294,116,386,
557,345,107,118,100,427,500,931,801,902,148,159,777,378,185,795,576,944,415,
241,466,498,618,601,918,782,520,288,103,913,149,205,368,763,321,590,330,835,
743,567,430,731,889,843,575,473,510,397,514,645,799,453,972,422,076,811,581,
545,562,087,300,501,616,158,573,064,251,627,449,932,418,012,136,350,980,047,
605,218,315,862,079,354,228,770,008,296,359,204,374,082,392,296,282,240,649,
955,744,919,614,943,800,325,807,589,179,772,911,041,143,609,365,183,818,108,
993,614,763,093,478,990,027,703,694,505,895,533,350,758,206,145,054,182,583,
727,599,727,109,242,869,507,341,108,559,048,097,837,003,072,991,298,543,618,
110,369,743,599,927,728,319,394,249,320,929,102,500,059,837,694,121,981,261,
461,801,272,067,853,299,425,974,784,703,591,597,606,513,349,146,353,305,254,
281,326,352,668,789,011,881,228,326,463,320,711,687,269,015,808,452,887,821,
897,045,177,873,519,090,702,071,919,328,612,375,219,306,058,530,605,101,415,
726,467,533,901,547,091,818,077,183,817,383,756,670,058,636,493,961,014,783,
116,462,208,117,497,008,084,560,888,101,877,298,723,463,519,346,640,645,890,
939,795,880,814,511,492,319,341,919,475,120,732,866,189,085,306,539,864,490,
615,437,451,258,071,685,255,904,913,848,509,439,118,907,116,581,534,323,909,
432,907,121,305,470,187,823,679,861,868,349,463,264,255,195,167,921,359,944,
516,090,266,397,617,701,576,070,832,347,227,596,226,395,967,921,965,315,556,
583,997,048,608,293,378,621,709,487,973,382,524,083,481,382,956,097,525,246,
069,709,093,969,631,201,852,289,003,420,059,753,845,943,808,869,488,756,796,
405,236,685,920,998,868,085,550,028,776,258,134,557,408,717,299,305,252,438,
145,858,139,619,882,702,370,500,883,120,290,917,310,492,792,238,978,738,606,
335,228,227,656,831,350,383,302,046,558,430,452,944,252,573,257,151,512,820,
148,153,669,419,329,965,909,744,618,426,785,696,416,402,634,886,277,186,177,
093,829,916,361,865,002,077,955,624,721,720,698,743,374,601,321,431,782,250,
660,993,535,722,486,242,078,567,706,840,846,498,341,087,651,726,709,903,967,
449,960,596,681,728,525,330,634,626,581,028,261,437,350,953,233,074,146,771,
083,022,967,287,564,912,342,059,905,145,319,920,005,001,543,735,163,523,828,
993,738,551,599,489,957,163,714,792,809,905,598,856,761,480,950,029,781,104,
260,844,222,680,590,447,840,483,653,850,196,780,157,869,306,566,302,100,313,
130,969,083,934,528,180,872,910,748,276,605,914,587,542,619,666,830,982,840,
883,289,176,924,562,684,723,817,739,113,626,196,530,540,579,405,699,771,330,
030,759,272,139,267,200,750,126,847,686,423,726,022,848,180,544,835,207,881,
481,472,847,021,790,225,606,432,491,319,644,318,249,016,822,245,962,883,280,
308,500,218,971,749,788,182,657,910,777,129,462,595,889,309,274,813,543,216,
207,127,845,862,371,012,840,409,091,166,527,131,828,914,881,869,937,572,200,
270,226,013,375,835,047,623,856,966,033,466,640,400,405,436,177,080,351,136,
022,027,180,714,614,793,716,304,032,162,715,971,646,126,755,809,320,575,866,
959,146,712,488,217,235,179,065,403,115,805,183,782,520,412,184,927,830,820,
170,114,646,171,986,579,953,341,549,829,740,778,180,887,534,002,268,001,555,
661,837,423,392,117,251,826,476,620,710,645,844,250,625,003,676,582,985,980,
312,992,955,940,782,706,524,386,750,283,173,699,784,304,305,883,537,903,063,
832,521,664,395,477,729,383,827,707,740,273,289,523,922,117,093,145,586,485,
406,972,760,519,866,988,266,475,512,307,411,721,415,586,779,085,084,302,050,
253,493,943,736,339,229,447,811,825,882,044,276,027,181,976,312,871,872,841,
993,971,057,117,079,414,605,425,298,438,737,086,867,155,077,831,636,174,989,
723,808,919,508,971,015,031,038,637,031,894,975,324,360,578,295,780,418,324,
061,897,761,667,717,562,314,317,259,331,466,801,256,910,122,369,362,281,604,
096,707,987,974,841,635,075,876,438,303,482,052,633,022,549,575,635,735,871,
092,140,512,982,699,660,279,131,296,704,335,981,875,829,538,434,394,111,697,
388,170,509,960,332,419,567,167,114,744,473,647,435,154,344,845,374,006,110,
069,269,848,197,975,855,636,269,205,482,327,010,685,953,930,938,828,074,951,
593,310,706,842,895,065,612,916,269,215,489,919,402,898,967,428,101,074,106,
536,661,237,321,183,411,827,644,907,082,922,896,583,725,109,726,967,161,073,
816,441,784,838,395,319,322,169,910,662,574,336,170,736,770,969,808,769,489,
897,265,357,715,765,239,800,980,567,309,448,129,811,110,939,510,998,249,161,
772,978,206,083,467,253,504,359,259,328,540,138,898,779,576,434,288,570,716,
488,250,277,706,028,046,533,243,667,101,881,808,697,840,568,766,112,265,317,
424,830,776,591,255,385,078,065,996,711,973,698,850,697,792,413,543,420,608,
127,986,766,252,051,588,850,017,067,295,596,388,591,587,954,054,585,040,852,
325,700,906,966,126,635,825,058,652,672,927,803,088,363,181,037,655,844,925,
750,769,767,359,554,281,511,442,970,389,206,859,694,181,145,559,014,297,063,
904,110,320,436,505,441,041,573,035,867,723,328,767,944,944,125,650,238,753,
163,391,716,701,331,236,706,368,135,468,651,177,542,361,933,462,229,992,219,
096,385,097,624,967,556,229,156,515,472,537,597,820,183,440,382,329,380,611,
032,918,876,006,261,515,413,673,181,755,970,264,064,367,656,422,782,371,878,
313,294,994,779,925,856,683,807,258,280,515,080,033,170,513,410,263,422,421,
242,251,221,717,179,004,958,876,591,402,583,002,610,628,301,915,488,047,732,
488,495,410,791,153,889,309,587,777,963,662,589,746,476,972,970,777,030,938,
346,910,793,045,695,062,494,020,853,828,207,442,579,340,327,361,876,962,905,
216,920,604,089,017,101,901,749,793,825,503,896,704,215,911,289,201,970,728,
714,966,342,486,474,837,774,072,743,209,953,034,303,084,707,149,440,826,449,
097,385,249,372,381,230,373,742,930,415,637,065,435,888,976,978,254,982,572,
273,486,247,180,380,167,826,495,938,494,514,973,201,278,847,350,920,231,781,
337,045,494,264,928,582,170,793,861,189,093,813,658,944,880,253,011,053,253,
843,749,021,330,304,183,738,763,151,197,828,499,493,194,512,366,043,902,397,
143,798,145,126,969,559,033,500,550,671,691,861,079,790,967,708,724,612,923,
996,697,431,467,788,679,224,766,155,725,144,990,145,502,144,217,217,543,607,
817,079,377,447,142,378,194,137,578,308,768,593,852,185,887,894,295,305,173,
201,266,262,010,257,587,170,522,155,098,721,874,972,354,000,482,515,679,544,
261,742,660,296,286,006,870,292,440,674,103,095,236,006,825,294,375,081,997,
025,988,706,004,174,715,074,091,245,827,316,797,985,656,943,578,047,625,291,
275,385,106,239,834,626,008,936,911,418,382,880,130,334,283,089,008,795,633,
008,298,765,994,908,853,827,487,336,121,898,290,031,510,117,875,873,222,686,
504,975,304,323,743,472,991,167,520,684,710,668,058,123,705,061,451,697,512,
081,600,383,457,108,776,623,277,820,434,410,000,818,388,250,563,434,780,409,
939,063,090,674,064,344,364,317,315,286,510,513,847,472,232,453,712,799,964,
340,338,389,510,756,263,662,755,629,296,581,626,463,499,523,701,478,761,648,
560,370,153,628,162,305,279,222,393,442,911,963,965,031,737,076,718,094,142,
629,401,150,663,439,473,884,140,268,804,441,570,616,016,995,693,942,368,995,
616,781,053,874,334,629,195,129,558,161,820,849,357,647,052,264,985,942,858,
110,025,543,325,586,787,554,654,693,796,823,180,417,903,659,876,151,285,184,
498,706,284,340,950,912,251,358,703,612,784,596,611,809,435,745,146,929,061,
569,941,082,136,003,761,342,395,863,738,296,230,076,626,311,531,650,509,463,
607,676,341,371,936,605,895,574,955,822,639,665,150,023,281,879,348,324,497,
178,068,365,758,455,174,183,082,982,730,600,062,520,315,614,878,202,237,414,
104,552,912,823,694,905,525,835,420,787,940,705,140,434,327,202,487,846,721,
939,079,731,228,101,824,770,088,145,585,288,818,291,591,101,758,876,840,641,
456,727,389,072,258,219,396,365,938,637,737,002,742,375,167,609,145,375,643,
769,696,648,070,903,437,885,646,662,353,871,983,631,668,008,654,119,002,813,
376,725,442,219,824,351,792,774,312,108,925,890,203,647,480,329,987,421,192,
471,309,737,146,908,664,485,512,377,525,550,453,084,203,125,443,986,824,463,
022,962,591,218,799,171,742,786,170,553,391,892,663,200,008,342,164,032,951,
468,786,515,436,806,711,883,969,397,380,625,809,652,091,588,266,890,624,933,
931,421,267,156,354,610,416,210,879,198,793,625,044,098,287,364,092,278,925,
631,003,974,850,920,175,080,053,911,110,546,020,330,294,258,943,227,289,912,
834,411,893,452,633,284,689,288,747,731,231,099,414,592,260,701,259,812,267,
239,666,895,334,119,241,353,506,412,453,371,019,353,319,888,905,485,992,522,
628,017,272,709,461,264,422,245,745,496,103,577,809,073,427,810,130,345,922,
388,849,824,776,763,625,392,869,569,754,461,462,462,446,799,110,598,465,164,
010,164,378,437,620,227,851,530,218,737,965,566,557,754,655,921,805,677,170,
003,742,389,631,449,995,553,804,677,919,861,114,744,862,911,356,590,083,542,
471,921,207,610,288,512,341,306,831,112,133,780,839,620,912,743,167,920,957,
780,169,024,702,817,929,756,976,794,735,815,984,996,753,509,238,811,133,465,
732,446,948,600,513,116,372,428,414,830,856,618,657,122,673,986,525,604,156,
839,016,251,817,586,985,689,439,508,111,383,523,915,041,658,135,459,956,361,
521,867,684,709,931,152,941,463,338,077,390,215,789,567,986,288,837,590,445,
995,061,990,557,471,463,358,126,004,296,015,392,023,541,820,111,472,901,062,
683,728,002,617,654,895,189,210,919,038,631,259,026,895,381,688,783,121,725,
381,242,110,183,259,667,104,697,445,515,169,095,209,374,112,966,411,582,474,
298,975,081,095,522,445,316,020,375,772,899,282,420,518,840,148,033,956,111,
136,351,619,086,948,213,160,695,697,538,285,940,252,726,893,545,747,866,728,
717,477,642,772,412,162,068,063,256,721,526,523,598,118,333,800,093,136,465,
720,034,112,379,331,616,708,195,033,824,233,918,442,122,275,940,396,351,988,
948,492,149,503,164,251,489,803,656,937,111,578,028,863,029,362,560,130,560,
651,042,205,865,660,528,852,367,936,287,336,655,399,902,148,372,884,179,537,
394,914,668,401,478,509,720,358,768,280,924,831,401,177,148,641,118,277,661,
757,551,165,314,337,893,292,278,020,252,315,448,763,157,685,022,726,223,892,
174,353,383,408,846,603,453,628,871,227,028,228,088,186,589,667,237,667,732,
868,368,667,192,946,347,005,121,653,276,277,007,819,456,053,235,029,535,688,
006,192,692,463,190,947,755,057,321,993,709,448,587,566,144,598,004,113,118,
522,892,554,699,554,539,835,753,127,487,522,579,591,491,448,471,238,609,589,
779,454,517,141,504,939,397,204,366,414,523,382,642,596,868,374,338,161,183,
268,416,868,372,109,093,096,027,663,243,228,643,135,786,507,332,444,126,939,
116,387,859,023,790,439,069,271,064,244,208,321,814,194,280,767,578,229,348,
190,322,187,962,904,086,211,393,940,489,464,279,920,778,162,893,662,310,449,
755,139,208,649,361,104,818,656,008,223,971,013,855,937,064,112,448,862,047,
407,777,079,179,430,416,675,165,997,852,316,152,665,306,217,681,167,304,919,
425,334,678,217,595,597,127,193,553,538,403,893,385,408,424,741,985,727,114,
017,880,292,698,752,483,093,696,774,532,677,419,624,679,046,019,695,693,194,
163,648,804,805,611,637,450,934,180,886,953,665,542,810,709,605,338,875,806,
611,865,794,735,238,463,070,674,307,463,313,323,651,443,084,348,507,615,825,
732,269,371,875,289,462,156,113,891,457,239,053,680,432,820,584,326,633,391,
288,612,422,459,549,842,523,273,809,476,894,408,896,684,704,507,689,112,961,
356,342,710,469,521,507,920,448,699,975,200,498,613,870,312,703,715,775,012,
301,759,147,494,105,998,427,933,012,722,512,749,407,254,270,827,429,629,503,
434,670,372,692,978,880,419,286,522,537,467,611,946,915,583,876,313,251,647,
637,077,998,552,542,443,943,812,054,961,967,222,416,274,984,992,902,559,853,
880,090,742,981,574,425,838,095,498,931,788,130,292,235,477,235,693,415,234,
114,653,113,476,923,261,237,099,876,911,961,420,125,995,648,235,565,461,628,
336,386,376,592,296,160,849,709,798,275,533,872,998,047,046,124,657,435,756,
180,994,416,709,422,983,325,261,285,456,129,627,563,943,802,266,801,409,978,
215,605,199,615,452,735,205,500,370,725,725,904,001,791,926,746,592,644,196,
226,207,700,107,990,229,682,320,340,973,797,507,136,838,458,967,946,160,587,
984,685,491,621,074,398,671,565,236,967,392,737,712,673,238,746,701,333,246,
717,318,110,872,107,138,163,247,546,628,887,434,543,922,342,999,576,636,536,
029,715,969,672,922,469,272,233,757,111,448,847,013,275,332,134,606,613,191,
340,732,899,686,898,021,200,018,658,192,862,957,818,492,179,567,073,911,546,
758,548,690,424,303,654,417,611,185,109,232,867,417,300,604,012,293,740,052,
236,079,482,167,210,592,289,847,109,548,933,413,236,590,747,244,133,180,917,
106,484,846,984,922,179,685,421,884,670,965,846,591,166,228,492,598,653,294,
694,090,977,968,809,837,858,242,563,216,246,634,695,185,814,874,880,369,733,
850,182,437,292,322,702,793,560,250,939,177,113,077,028,774,774,760,517,082,
381,462,268,577,756,108,565,349,491,376,879,841,251,580,907,410,303,894,574,
833,555,644,534,969,079,194,102,225,564,594,935,271,181,342,058,430,075,637,
897,522,007,009,689,544,863,943,958,822,333,781,038,519,027,645,736,086,845,
307,245,104,590,314,777,417,486,057,763,071,458,618,130,911,872,594,127,376,
523,848,029,397,124,444,967,007,106,034,493,656,031,647,333,646,538,999,792,
906,961,266,261,547,423,766,519,036,238,238,899,612,152,966,397,871,966,676,
806,440,464,116,473,145,677,419,277,249,790,454,248,415,825,977,460,124,657,
077,135,350,068,023,451,521,760,522,672,035,053,558,698,117,007,427,390,722,
825,267,996,488,740,664,216,497,213,245,037,482,343,944,615,739,034,312,710,
806,131,771,373,860,721,555,165,924,840,506,771,519,861,022,572,129,789,267,
599,106,849,130,582,876,911,996,741,694,912,469,160,206,041,896,496,897,170,
042,887,076,162,624,707,744,347,431,942,259,125,999,585,909,626,042,652,928,
006,311,798,656,106,233,800,487,901,676,405,898,278,968,096,245,183,161,404,
290,556,227,738,896,100,532,019,922,358,441,955,992,713,988,650,153,766,905,
387,628,189,138,703,631,127,040,527,887,538,340,464,669,235,680,579,556,957,
079,228,636,598,873,560,159,021,527,232,040,539,510,142,679,799,548,409,395,
707,950,674,602,699,991,717,392,680,750,351,282,441,301,740,353,644,023,923,
871,981,251,950,146,326,431,027,440,426,713,613,075,242,600,208,635,017,810,
598,243,282,869,323,656,689,578,455,867,711,941,617,344,108,856,527,615,711,
755,420,140,233,848,457,946,988,032,265,393,849,311,624,085,295,548,296,927,
423,698,798,435,552,222,748,209,028,501,415,239,540,884,868,413,383,008,451,
683,961,808,037,643,613,426,190,578,411,451,879,895,223,874,182,679,903,181,
164,057,064,622,538,480,510,530,673,010,173,073,858,802,407,636,734,755,893,
756,123,127,521,074,309,979,829,249,254,837,823,057,112,004,275,094,610,596,
203,379,694,547,523,440,106,356,898,220,607,561,593,455,809,243,902,809,398,
398,462,699,091,109,861,941,825,808,334,870,232,547,707,573,753,466,455,636,
230,629,865,583,168,341,266,827,397,678,349,980,704,863,785,645,210,689,996,
552,101,850,388,738,211,933,254,991,880,308,448,880,600,463,393,586,965,708,
149,846,560,141,785,219,952,717,621,351,875,206,200,533,052,107,228,120,620,
475,399,266,012,236,126,473,744,340,641,470,843,068,876,694,100,192,203,299,
324,297,308,724,749,303,010,687,981,372,990,719,280,054,643,814,153,833,037,
463,675,982,091,926,674,426,598,285,524,203,496,256,574,352,190,844,914,634,
640,553,052,018,862,068,725,230,202,161,429,596,433,414,161,164,688,213,402,
726,568,476,845,533,887,791,905,297,211,117,277,438,675,599,149,607,445,163,
740,275,717,675,069,076,380,463,138,974,961,986,257,995,835,772,450,193,584,
289,164,900,285,416,530,696,274,043,120,932,421,311,783,003,883,071,823,050,
173,830,356,972,427,222,096,781,394,065,637,075,094,295,454,615,372,492,270,
983,358,381,865,092,417,126,221,495,793,180,336,978,016,994,796,773,532,692,
441,643,962,016,501,388,283,598,388,992,024,203,528,526,282,070,988,821,603,
962,823,792,261,289,609,181,903,144,600,554,399,525,881,170,966,738,982,404,
896,401,015,732,600,271,398,887,084,519,664,149,173,953,158,301,547,318,024,
426,998,971,554,113,075,607,628,779,578,485,220,372,387,763,916,374,147,129,
727,671,519,477,569,392,671,560,963,985,907,416,903,042,591,770,573,090,111,
637,789,968,648,075,023,720,437,494,332,482,452,111,368,454,824,877,021,808,
553,768,488,370,227,809,512,718,248,950,900,243,085,999,738,015,971,452,541,
582,119,826,550,887,621,115,290,463,025,132,196,364,607,904,111,852,938,087,
857,066,766,750,389,070,084,345,841,382,312,043,451,959,422,513,416,378,991,
384,864,705,883,094,552,623,203,239,318,051,584,581,378,976,770,205,608,869,
392,959,710,263,856,049,512,364,883,352,191,929,154,461,166,509,219,638,528,
080,799,920,051,758,682,340,240,247,087,088,952,586,073,808,088,701,441,019,
603,878,603,297,159,947,480,895,375,521,502,502,357,698,056,444,392,668,881,
895,820,708,378,126,089,587,322,146,776,649,369,514,472,505,653,494,151,758,
550,975,707,937,523,298,038,776,703,088,511,543,530,383,312,310,293,707,734,
030,427,418,859,291,954,149,453,475,815,267,032,995,500,386,690,261,202,026,
284,847,540,100,929,811,881,886,221,317,976,421,592,979,488,433,835,073,658,
399,827,284,245,553,762,477,204,520,126,286,405,740,699,357,926,891,513,458,
931,657,269,197,640,094,616,912,187,501,653,818,711,684,152,317,677,298,346,
883,297,166,408,429,081,851,998,563,458,742,000,430,021,513,415,362,138,903,
100,200,803,269,591,150,095,538,606,997,585,047,721,836,525,173,135,843,663,
214,300,213,871,613,102,140,060,587,170,158,579,335,892,130,819,098,247,793,
151,475,202,894,919,895,135,449,655,156,273,049,591,075,785,769,888,402,488,
929,425,479,269,608,986,393,020,540,428,920,543,300,817,884,080,546,012,173,
726,762,630,365,925,265,300,868,473,473,315,706,454,440,928,175,890,647,832,
741,267,195,677,132,512,277,551,166,189,832,145,383,737,894,251,386,159,559,
938,401,375,969,217,606,877,855,407,836,790,890,347,959,783,647,424,575,469,
606,781,716,917,904,084,218,391,085,341,396,609,903,223,280,429,896,221,814,
398,693,158,515,431,785,901,367,026,717,524,528,465,861,431,497,059,058,221,
403,477,230,605,596,635,341,736,889,829,887,161,474,163,173,375,652,863,929,
231,532,014,521,733,796,762,011,308,755,613,700,856,977,799,525,952,523,618,
491,136,008,752,926,507,886,844,194,077,427,487,963,339,184,240,800,961,707,
007,147,320,515,286,175,136,057,448,456,955,870,512,958,018,316,710,299,351,
958,356,232,292,796,410,255,091,877,572,295,061,578,209,147,707,280,584,226,
542,039,303,176,945,568,722,892,594,016,312,438,610,289,047,308,724,022,848,
191,019,400,115,913,155,924,244,762,628,650,300,494,625,947,918,976,570,591,
208,826,886,903,362,793,987,705,738,877,759,383,540,829,214,016,641,974,819,
067,323,641,286,019,908,241,330,438,815,096,390,424,035,087,727,549,410,558,
895,289,020,759,882,234,178,236,099,141,330,315,609,847,651,131,501,704,106,
013,540,489,317,971,304,357,232,564,499,278,615,666,460,299,258,250,546,240,
633,504,197,356,720,754,418,146,641,131,087,857,336,698,485,236,824,755,913,
634,224,355,503,675,660,466,174,230,492,085,416,919,044,858,784,388,991,325,
360,835,347,110,704,066,946,818,843,218,706,476,167,101,799,707,528,649,604,
521,293,017,436,441,987,832,161,218,117,425,512,256,205,431,113,879,791,494,
856,049,347,114,120,435,711,170,475,486,871,539,782,909,247,760,854,487,266,
486,555,006,743,840,984,723,080,898,685,322,353,952,031,993,196,400,237,845,
631,807,365,789,774,014,531,560,638,645,819,110,236,460,374,490,216,520,751,
453,539,995,938,350,336,416,784,998,218,542,138,656,875,195,087,874,725,502,
967,783,555,130,403,957,003,305,067,653,710,148,754,792,317,498,721,301,162,
218,422,754,133,234,547,757,033,647,857,330,046,299,958,394,016,379,731,275,
746,216,828,584,603,719,620,989,284,101,396,778,743,198,945,331,686,709,433,
176,177,680,601,934,243,566,977,451,042,351,470,457,628,424,155,604,919,566,
914,873,725,660,625,091,547,552,023,548,868,086,537,841,241,569,353,995,901,
769,849,865,535,147,757,226,021,257,572,991,302,271,929,298,960,193,547,416,
087,897,118,147,267,763,476,382,766,970,885,915,930,847,859,310,281,197,332,
447,265,433,798,328,365,603,890,077,874,328,613,295,002,594,532,037,419,762,
866,959,607,368,498,837,989,177,072,823,459,462,504,525,409,829,407,200,678,
436,082,619,849,596,071,936,501,994,168,036,474,987,276,003,215,883,458,687,
052,739,120,426,450,013,105,514,107,715,275,311,540,402,688,021,616,836,265,
061,970,783,627,632,197,204,198,889,941,932,367,061,007,012,490,649,251,860,
393,285,347,765,821,270,163,286,147,958,467,362,247,538,888,157,914,102,531,
589,590,018,894,708,785,999,864,665,373,195,912,155,558,589,753,180,836,726,
145,120,922,713,484,787,664,888,508,294,537,058,954,115,539,936,852,508,707,
765,127,071,353,024,474,195,809,809,851,680,854,686,711,479,284,391,504,764,
669,095,507,800,452,851,146,768,791,857,787,813,441,372,323,557,162,080,358,
958,499,811,870,430,684,759,049,768,183,900,677,162,242,385,107,852,700,850,
223,417,586,017,323,596,793,732,740,328,888,021,644,862,647,941,211,709,375,
598,788,518,958,279,191,994,978,265,645,276,708,467,548,439,793,658,009,648,
411,258,018,473,881,925,347,175,702,464,069,802,000,514,190,914,039,262,813,
039,096,401,852,208,120,468,196,634,499,937,965,195,470,716,113,495,778,808,
908,862,487,639,407,541,721,074,678,603,857,753,497,715,528,645,004,469,815,
057,181,344,623,826,893,017,753,121,605,642,906,510,169,271,007,221,771,396,
786,860,532,696,841,200,942,312,990,168,432,781,508,594,288,896,852,959,013,
448,223,453,663,727,328,961,858,492,981,401,227,270,918,600,954,905,248,908,
508,536,778,768,032,745,865,713,708,228,526,631,318,305,864,818,152,949,145,
857,712,613,053,342,624,595,761,782,977,822,075,159,552,547,406,637,361,560,
652,173,654,207,753,682,221,300,082,321,968,466,775,561,990,040,399,052,501,
605,427,810,748,510,535,148,540,444,822,686,842,970,817,405,239,283,049,480,
114,287,864,929,999,684,497,898,717,518,555,917,198,816,787,782,576,611,499,
085,778,638,702,497,900,561,929,903,479,003,361,384,841,223,976,475,482,325,
925,644,065,863,663,535,433,715,255,077,563,156,287,920,567,422,083,137,555,
135,321,602,848,625,033,363,562,807,269,764,980,916,243,558,012,341,629,185,
552,281,907,494,968,790,865,401,871,130,440,272,763,156,607,692,374,829,809,
833,904,924,936,133,075,227,589,491,442,499,890,683,040,537,412,735,395,921,
646,474,890,691,382,183,549,978,592,557,122,473,940,018,710,873,272,677,290,
342,744,181,560,384,229,647,508,468,464,121,517,821,450,292,976,881,738,079,
096,661,522,975,448,336,276,739,443,816,174,800,286,877,503,050,362,065,035,
123,055,996,645,301,379,047,666,124,878,529,929,395,309,962,082,245,943,123,
609,732,214,870,011,671,343,494,958,394,509,816,913,235,699,001,719,292,261,
423,208,466,106,796,713,143,717,442,487,294,281,729,941,109,980,224,530,866,
648,403,474,734,452,247,952,511,832,234,856,456,741,106,325,817,263,903,583,
111,734,895,000,785,723,258,032,927,060,505,098,316,485,314,221,649,680,038,
448,665,163,936,825,481,975,833,942,525,477,317,893,342,699,884,208,912,709,
485,922,287,197,265,447,282,012,652,574,800,409,095,324,754,177,104,121,911,
345,794,100,401,139,050,273,369,491,058,920,847,850,838,007,894,919,277,300,
545,905,024,524,447,070,681,501,906,832,690,177,912,716,541,990,441,540,941,
064,967,568,757,817,865,102,817,672,106,121,357,688,404,703,809,387,947,070,
571,702,454,922,869,723,177,975,524,770,737,604,617,970,776,190,562,006,921,
910,538,158,428,262,563,768,628,032,534,728,241,348,736,228,210,116,066,195,
239,257,435,390,826,806,735,660,854,872,633,478,623,717,277,629,858,277,528,
331,756,073,195,772,416,978,796,608,143,016,513,957,835,564,662,250,339,954,
209,071,137,343,311,599,315,483,182,960,072,704,335,093,671,018,395,457,235,
877,563,032,580,232,782,484,607,161,341,048,300,188,050,944,513,542,218,050,
024,107,198,737,267,508,287,880,070,735,616,985,315,686,794,802,690,774,900,
263,228,062,120,061,321,064,838,729,890,378,080,500,283,540,194,643,960,868,
513,976,695,107,631,136,252,665,613,765,994,985,049,095,400,287,922,888,060,
023,722,416,600,688,884,432,924,581,044,855,906,899,882,618,998,423,049,089,
180,601,150,862,370,656,178,574,323,097,801,546,087,914,038,263,607,536,553,
970,206,224,379,600,381,715,321,318,870,389,991,891,671,051,231,760,387,259,
626,031,701,658,402,032,849,392,129,205,126,341,807,949,621,676,243,030,515,
095,701,802,925,158,075,972,348,606,535,885,063,350,431,042,459,371,743,011,
975,609,085,390,072,290,097,266,879,376,138,217,299,459,179,696,082,185,502,
078,188,104,487,904,177,601,133,005,357,651,257,120,112,317,167,533,795,224,
242,384,793,325,502,645,338,657,300,684,625,746,317,222,402,251,770,731,122,
787,037,566,705,270,531,478,489,627,303,664,164,631,690,879,590,403,603,905,
142,489,183,432,988,395,278,180,358,454,429,073,155,092,938,442,994,812,349,
642,119,353,682,263,423,460,600,016,634,950,020,150,908,485,049,675,974,879,
039,342,346,723,142,747,575,777,965,040,306,816,991,986,579,193,425,148,156,
819,821,037,573,253,454,792,004,503,575,197,767,757,730,296,250,092,618,545,
898,613,762,920,770,668,065,596,098,200,501,087,062,381,664,980,998,203,825,
389,634,688,533,579,495,734,588,238,392,329,409,267,903,702,467,848,968,693,
616,877,991,324,517,468,095,466,799,754,056,945,229,541,509,391,521,123,872,
973,801,378,385,832,769,751,729,004,171,388,798,555,179,614,491,520,099,121,
854,347,141,448,251,893,316,105,976,908,977,829,819,941,195,595,185,307,286,
562,942,394,151,386,204,131,667,315,708,544,571,598,918,434,139,072,905,546,
499,868,419,425,536,859,739,969,794,348,054,143,792,855,361,017,524,086,892,
993,187,482,071,815,914,013,702,265,768,580,254,282,157,127,730,200,770,556,
278,807,415,352,161,606,821,766,764,999,129,947,405,808,566,271,384,877,484,
400,755,736,264,853,437,746,516,058,336,598,872,003,689,590,709,295,867,063,
264,967,734,284,295,132,797,560,689,322,225,215,559,397,035,282,778,535,893,
857,852,417,144,967,889,923,486,739,132,312,053,206,632,439,016,360,247,955,
654,367,078,001,046,244,721,002,579,163,423,379,742,610,703,362,837,916,402,
285,907,850,605,330,901,042,171,346,661,636,904,775,889,004,278,099,346,760,
657,980,441,059,854,777,296,732,731,812,188,440,194,252,505,097,144,012,560,
968,739,908,776,961,054,095,372,925,617,467,134,625,577,618,271,134,412,228,
123,420,371,235,473,013,859,901,764,806,001,435,123,846,685,843,927,783,213,
788,284,374,801,408,047,054,356,621,494,942,104,665,038,199,568,656,602,564,
047,675,672,284,258,153,271,979,724,620,818,285,986,762,640,427,757,866,681,
308,233,425,873,158,929,320,765,691,441,756,024,553,657,274,315,165,947,419,
314,372,693,031,588,337,875,343,801,846,282,752,528,263,293,366,697,236,983,
505,704,330,243,086,922,165,469,072,538,875,877,308,178,903,399,302,430,299,
145,874,592,729,338,040,081,623,259,209,998,377,287,297,149,972,825,992,023,
133,799,585,022,826,686,636,348,457,093,261,976,444,530,859,040,197,628,963,
732,967,918,692,680,363,035,209,808,034,160,940,921,071,604,652,250,453,267,
253,123,023,743,782,850,464,243,762,180,079,207,017,398,273,119,470,222,190,
727,468,163,507,394,223,574,377,023,490,824,911,378,390,338,857,717,984,813,
229,305,258,957,757,578,893,972,261,374,909,154,400,866,687,265,915,220,657,
013,568,366,177,479,417,403,118,063,431,992,775,658,914,325,267,766,657,871,
648,155,795,478,200,659,910,403,036,761,679,387,458,940,165,115,195,288,317,
636,026,843,156,681,300,067,281,985,698,794,450,011,244,350,685,669,554,519,
834,111,000,661,240,102,513,366,754,437,988,814,956,536,089,911,817,684,508,
138,124,936,768,045,429,326,206,515,352,345,484,987,452,265,907,532,823,380,
429,475,142,052,159,785,905,340,054,304,713,688,734,760,073,305,521,787,425,
612,151,460,600,691,879,250,829,033,761,688,085,120,044,835,160,120,410,619,
184,919,590,695,374,481,112,895,184,484,503,047,814,053,941,939,623,481,300,
998,488,515,990,488,690,196,313,885,462,358,257,502,815,753,699,236,899,999,
237,114,178,168,412,064,375,060,110,497,336,300,418,203,822,209,199,828,963,
839,416,036,673,911,557,443,634,927,813,170,917,907,631,481,363,299,821,400,
435,061,467,940,827,374,332,136,613,437,612,859,446,794,965,597,528,755,863,
863,894,232,389,654,516,762,563,608,783,144,225,967,100,679,089,173,600,520,
346,688,178,722,279,447,357,584,364,759,557,064,291,269,155,229,295,915,899,
314,001,771,536,452,161,820,201,095,049,688,651,010,171,907,059,970,140,582,
640,025,182,723,085,075,249,795,242,669,898,009,601,304,202,016,456,998,756,
698,138,032,246,794,233,090,954,935,748,055,974,670,646,626,158,339,951,317,
090,489,745,699,126,583,667,373,514,372,210,593,048,354,298,877,512,361,118,
942,980,086,112,112,063,344,479,633,607,234,573,559,410,654,948,154,635,675,
951,084,123,806,993,417,557,993,665,948,514,517,692,340,806,787,246,653,672,
699,976,460,460,608,837,265,396,468,331,712,386,939,139,660,724,690,087,704,
748,457,104,543,824,643,701,861,567,916,754,379,193,488,348,663,613,437,001,
384,561,259,323,466,651,606,392,481,821,940,040,505,635,948,722,649,215,711,
191,253,226,327,930,758,793,633,893,162,121,375,896,524,286,900,291,367,482,
707,724,265,222,418,204,914,642,631,708,153,196,546,575,310,030,554,268,553,
284,642,626,308,008,661,860,726,617,416,918,997,415,031,294,776,382,195,116,
468,419,668,812,112,916,230,855,412,306,605,393,480,482,632,946,865,188,962,
494,878,148,766,227,514,272,698,072,903,334,038,867,103,887,716,124,049,903,
421,000,974,957,222,671,244,567,256,213,624,208,049,644,763,144,458,404,908,
492,932,734,420,193,039,493,923,670,882,682,383,934,996,909,727,302,097,559,
393,146,357,857,321,802,395,805,329,611,789,350,166,065,534,045,626,395,678,
161,838,712,732,256,849,104,561,935,241,608,829,642,164,432,583,624,597,068,
438,325,540,653,212,202,070,522,497,803,568,857,023,283,607,699,881,618,620,
737,571,403,484,204,718,240,232,007,710,493,407,561,022,205,736,606,572,178,
900,470,592,432,860,328,057,304,324,294,393,471,628,344,248,223,897,108,817,
545,507,462,730,247,017,194,523,064,307,827,701,252,587,132,577,461,788,120,
999,719,632,139,268,666,004,526,924,055,336,628,970,647,057,482,493,183,985,
029,383,575,763,491,513,828,702,416,809,976,729,196,858,678,599,691,812,682,
238,614,307,215,961,773,793,449,339,629,391,793,094,731,163,293,086,822,274,
533,279,098,317,543,399,579,146,006,656,518,491,037,247,226,590,979,893,119,
745,399,924,038,553,785,542,255,954,525,037,278,986,749,572,507,927,972,057,
814,359,785,000,141,745,987,124,797,231,496,476,373,831,513,311,125,488,034,
523,864,262,903,322,961,544,134,809,100,429,829,901,532,892,515,063,315,933,
492,511,393,998,679,882,545,312,031,532,074,811,558,804,437,173,469,525,778,
400,312,392,603,274,435,930,733,530,609,853,748,371,615,942,586,041,054,251,
354,797,704,353,123,605,360,931,360,301,129,087,493,916,217,150,116,562,017,
082,332,155,559,094,575,353,268,056,576,436,645,641,253,719,820,338,793,455,
994,703,957,644,996,227,377,970,105,436,454,715,327,521,907,217,351,741,963,
267,480,341,839,707,280,752,578,573,559,049,169,093,603,175,010,082,060,660,
921,892,767,774,942,619,798,714,026,638,476,515,042,175,539,486,561,556,497,
866,776,314,097,474,668,363,347,659,388,218,972,866,875,742,112,479,361,370,
846,124,201,211,725,676,362,527,026,198,487,041,613,176,581,058,853,439,250,
097,556,414,663,921,164,047,240,001,157,439,366,957,822,598,757,941,724,780,
449,783,307,574,657,868,420,519,129,638,115,945,968,805,639,091,080,865,644,
700,931,836,327,506,032,244,654,097,701,608,926,647,413,501,193,744,182,829,
277,978,420,348,294,288,729,843,353,519,872,732,747,241,061,581,764,959,716,
138,220,929,464,912,370,792,057,903,721,678,912,005,689,726,556,484,904,959,
646,245,129,613,157,434,911,041,107,030,254,968,293,642,175,168,924,769,464,
005,929,503,537,455,373,529,049,437,953,055,230,506,231,317,553,838,399,764,
821,487,297,436,564,293,624,758,519,184,479,168,609,009,226,336,164,438,568,
190,926,460,178,837,216,715,883,514,034,365,175,834,215,235,213,471,069,194,
019,940,421,544,179,348,388,051,130,174,053,743,195,917,348,485,197,977,677,
287,170,421,210,200,334,775,470,944,378,983,317,933,793,755,615,344,166,524,
470,427,172,934,487,418,252,356,711,490,452,908,796,116,773,215,513,976,601,
203,146,871,231,584,546,735,096,596,651,531,754,720,616,016,090,424,343,893,
025,673,760,243,164,959,861,984,068,466,055,734,131,097,495,715,924,014,490,
355,504,852,289,442,386,821,895,780,045,093,466,923,760,700,776,405,125,158,
117,786,089,844,623,862,471,437,557,314,711,031,509,192,117,674,461,537,203,
750,425,170,469,909,835,039,416,662,297,684,488,631,215,478,383,344,553,202,
147,848,611,994,552,559,021,866,088,493,027,779,954,266,866,781,877,761,202,
704,222,618,193,623,435,420,917,415,045,677,041,275,143,090,158,599,255,136,
076,319,145,598,637,451,852,233,615,300,134,905,639,093,197,349,519,104,254,
686,170,400,894,344,512,191,647,118,017,346,765,749,476,869,798,999,237,831,
930,132,783,126,228,862,283,432,924,672,279,119,870,811,046,379,384,107,116,
040,921,861,074,744,667,264,926,722,013,734,189,950,848,808,856,271,023,444,
577,052,908,945,046,151,602,791,983,369,829,108,434,351,214,196,698,560,097,
665,904,362,194,229,494,896,173,840,446,862,794,779,477,816,410,186,079,235,
004,184,271,796,881,508,407,694,620,587,507,270,031,613,080,550,840,730,381,
391,813,990,906,243,336,720,057,866,675,633,500,738,559,286,344,614,979,181,
528,074,743,610,660,305,510,328,863,658,926,578,607,330,317,322,895,143,563,
854,616,475,393,862,963,319,719,974,680,119,400,877,084,561,910,730,050,672,
693,958,997,443,952,605,334,421,840,324,872,185,855,945,001,920,901,116,332,
245,304,492,393,226,301,668,472,993,302,234,034,407,062,223,646,751,287,761,
020,997,527,161,118,330,410,195,046,028,548,867,899,188,637,422,226,663,888,
792,438,858,376,864,207,118,683,313,699,344,749,893,051,856,618,476,644,679,
596,674,839,315,431,504,501,218,624,617,692,008,960,876,108,387,230,927,064,
882,394,425,291,087,299,552,508,337,318,200,572,424,699,070,440,650,001,233,
159,703,573,724,679,598,193,618,425,187,295,181,216,720,350,075,929,448,004,
783,025,773,152,666,376,751,737,255,573,787,495,441,689,976,415,816,173,672,
637,059,240,739,363,891,432,391,285,458,894,162,140,971,282,449,051,554,356,
006,778,308,979,055,774,745,649,406,396,157,798,370,478,242,009,806,611,883,
638,884,392,515,644,132,762,068,155,243,056,552,185,920,969,016,650,533,016,
430,688,999,778,323,148,509,654,162,832,344,933,882,243,434,238,915,480,227,
240,364,594,590,981,849,619,574,389,726,923,298,428,356,207,423,585,671,199,
033,080,737,756,447,457,100,384,805,453,251,564,411,354,343,458,697,719,628,
907,139,131,734,599,213,252,242,259,204,200,713,942,245,370,583,360,193,663,
119,897,036,904,291,518,017,723,597,805,470,642,495,756,230,009,442,841,617,
989,629,915,599,574,058,508,049,858,870,010,331,433,578,609,369,081,252,866,
557,632,191,632,827,288,383,918,728,632,455,137,121,684,982,362,327,810,099,
945,864,475,097,215,177,701,484,180,674,189,976,313,230,328,762,440,582,758,
697,459,450,159,635,829,895,273,242,295,022,751,552,124,970,379,886,622,887,
908,912,354,919,246,334,165,073,691,622,896,173,604,262,225,596,260,998,362,
835,507,559,207,617,594,720,028,014,966,907,396,118,007,675,309,283,531,618,
167,423,293,840,348,990,640,046,633,622,571,581,752,484,824,965,778,411,460,
658,247,059,212,998,041,447,856,184,830,565,416,163,228,078,665,474,381,382,
347,252,737,543,489,940,025,430,501,721,932,765,740,593,554,162,938,327,487,
584,176,529,753,689,648,323,742,466,107,651,270,779,370,317,213,205,566,194,
708,914,601,405,891,489,599,159,155,064,629,537,271,496,545,804,891,247,550,
161,424,458,213,758,669,647,899,124,239,544,703,058,994,851,707,392,745,919,
741,745,891,580,541,061,392,413,333,447,772,085,307,983,654,451,116,369,208,
077,933,194,594,274,486,715,902,215,580,396,590,783,622,956,351,446,865,999,
720,858,083,663,045,830,164,519,898,091,700,800,263,397,382,272,306,327,316,
457,217,682,555,160,810,580,191,926,912,523,449,063,190,981,251,206,258,303,
950,421,075,760,558,454,423,907,876,765,815,774,399,259,106,620,329,513,787,
838,266,927,405,226,019,194,970,582,316,059,105,239,590,271,756,665,572,422,
635,410,405,550,449,502,773,023,980,956,388,240,665,041,240,414,136,185,736,
509,599,944,979,368,955,491,366,169,886,222,410,064,052,366,024,326,997,940,
732,810,585,326,219,789,434,742,509,903,691,542,665,105,816,183,464,499,878,
251,314,665,108,123,209,163,585,828,774,286,481,656,519,104,842,741,532,592,
258,993,153,447,691,380,103,846,745,388,731,245,735,732,473,760,150,087,926,
139,849,786,732,066,626,362,158,879,274,670,349,522,937,656,364,928,794,231,
939,523,956,394,980,578,427,017,701,693,114,630,559,507,116,668,069,182,994,
172,611,276,438,701,025,021,055,884,356,674,200,860,478,102,116,512,539,377,
596,704,586,294,000,014,537,687,779,850,581,089,121,820,482,605,223,891,855,
273,271,583,691,436,571,030,449,131,784,357,194,199,804,349,470,704,334,928,
684,317,294,104,568,534,731,839,028,017,716,222,946,487,632,864,918,565,720,
297,555,017,641,544,105,544,011,255,102,932,669,170,285,207,575,482,681,245,
325,971,025,305,023,446,669,871,667,496,692,328,664,774,006,251,628,913,571,
424,906,140,287,964,173,393,716,268,864,065,631,136,699,282,209,319,623,384,
492,110,450,650,903,960,893,817,828,570,238,178,312,761,400,557,762,385,406,
107,244,092,076,511,434,862,302,087,426,940,399,789,751,795,355,747,894,407,
649,267,333,554,945,427,998,914,809,958,710,507,958,218,105,359,245,537,567,
333,883,826,297,016,986,726,824,995,671,337,586,765,907,255,998,672,132,595,
232,558,569,275,278,794,555,282,290,706,272,321,316,927,371,096,888,320,756,
325,787,946,637,054,869,295,601,561,196,172,026,410,876,112,947,981,297,688,
001,594,150,287,879,084,936,371,689,994,266,582,018,304,072,782,743,723,479,
820,124,483,277,126,971,170,071,479,640,054,158,355,207,122,525,766,159,630,
985,692,202,150,794,807,586,541,033,564,676,193,808,607,451,591,053,848,063,
344,077,145,149,551,899,391,865,180,037,574,755,200,148,049,870,066,405,254,
706,507,762,931,966,451,423,305,306,034,750,294,406,758,869,758,766,500,970,
646,676,410,717,523,078,077,025,976,312,300,606,528,023,793,468,635,453,684,
865,837,727,505,629,920,285,468,682,099,721,807,864,524,264,209,082,027,413,
327,290,740,664,727,096,801,716,397,896,564,550,752,114,907,538,165,101,324,
295,468,475,594,979,507,122,645,031,597,217,877,118,233,973,521,601,484,235,
137,002,312,204,963,857,882,647,140,397,226,809,217,790,498,750,788,478,098,
805,928,691,062,793,539,247,493,013,720,652,368,888,794,351,541,990,579,438,
270,280,278,637,081,388,800,314,520,617,285,774,157,879,318,430,657,876,489,
987,921,789,291,430,419,115,162,654,822,550,608,373,595,651,519,002,063,994,
554,423,601,723,071,914,854,027,147,906,781,377,432,007,024,812,236,304,758,
858,501,126,552,808,061,451,733,159,695,145,995,018,305,056,285,773,758,542,
301,238,248,280,833,066,912,299,652,279,319,579,552,350,933,838,378,590,730,
247,071,433,818,112,065,664,873,757,113,414,343,261,478,217,804,577,953,279,
848,055,783,867,746,193,322,982,111,216,545,682,151,158,907,017,620,582,443,
049,563,478,100,913,666,454,110,632,225,913,115,250,748,035,504,616,963,550,
880,070,254,861,756,184,594,553,020,178,752,549,142,698,648,665,490,318,510,
468,593,542,326,670,696,539,921,506,244,149,006,267,414,295,661,181,052,106,
885,049,251,583,584,471,996,895,666,258,557,486,408,280,201,464,269,348,210,
571,109,334,324,249,409,559,662,836,941,550,574,343,657,320,847,649,742,943,
435,474,473,471,154,377,711,542,673,013,360,040,349,025,923,165,498,106,886,
529,048,880,491,335,260,546,650,727,322,769,824,359,869,393,686,478,714,670,
449,055,391,839,851,016,309,478,753,049,039,564,414,406,054,967,842,650,096,
496,034,473,288,491,060,414,320,388,565,856,891,953,202,948,035,387,462,015,
122,860,617,331,729,558,735,451,848,242,415,348,488,787,309,092,943,794,189,
827,853,716,935,503,118,837,507,210,050,640,766,851,064,044,641,871,078,217,
142,736,367,716,907,767,116,896,261,694,389,916,433,376,030,291,385,427,451,
961,508,043,732,108,995,176,156,150,335,767,419,591,395,116,325,181,245,932,
517,112,979,627,816,647,041,277,170,132,657,980,916,654,055,456,914,407,593,
106,334,815,901,098,443,001,947,105,538,990,069,862,607,973,348,758,987,182,
377,160,346,116,942,526,220,810,155,853,951,329,200,752,636,054,646,046,435,
659,332,838,274,809,075,307,636,146,654,513,266,944,274,690,955,542,764,544,
889,719,849,842,864,892,163,913,055,733,680,724,069,259,552,534,773,874,302,
636,428,455,116,204,404,465,268,774,327,267,459,114,101,054,228,185,060,169,
720,624,266,855,606,218,458,405,171,088,850,789,666,010,910,024,909,823,810,
697,730,257,205,447,934,726,047,467,163,399,558,449,620,566,457,468,424,381,
051,420,684,130,792,710,032,240,834,157,011,973,604,068,661,849,849,590,477,
531,517,002,942,068,309,769,044,591,319,996,296,070,073,807,908,524,008,623,
682,418,186,324,620,069,028,096,950,126,884,185,611,214,013,719,472,387,045,
642,259,864,362,754,484,811,395,661,689,170,767,840,060,266,371,344,916,478,
669,303,730,958,158,898,965,245,363,844,544,282,513,373,381,956,073,797,033,
150,579,893,837,760,172,843,547,338,646,851,656,389,808,283,319,502,807,185,
177,538,368,410,501,328,525,513,550,132,488,902,398,765,639,726,397,194,697,
133,719,076,796,590,195,568,130,406,038,382,779,849,129,633,859,948,877,665,
532,891,730,228,628,909,531,637,062,327,073,495,864,851,529,703,281,819,035,
296,411,033,708,063,446,420,217,954,120,614,947,531,141,021,008,465,001,640,
075,281,040,136,039,236,829,390,999,814,889,119,414,681,354,766,976,330,647,
863,799,460,435,371,250,809,032,703,970,781,701,778,242,278,494,147,451,640,
656,619,099,401,117,467,208,557,458,965,600,998,276,930,547,378,048,304,482,
691,090,008,576,779,944,493,494,379,538,828,667,856,209,544,680,530,655,566,
175,779,988,855,471,614,312,056,931,573,169,893,586,933,328,015,908,815,368,
261,301,484,986,566,416,620,682,562,213,284,770,701,281,882,284,250,360,482,
777,453,012,794,852,100,371,395,441,026,453,121,684,047,089,260,376,066,841,
968,830,558,708,208,240,819,265,671,136,353,062,687,583,896,144,147,179,386,
374,675,002,161,700,382,016,301,730,305,394,230,543,264,794,154,328,186,916,
598,698,921,473,823,332,146,366,370,310,658,930,946,049,645,440,394,365,483,
828,400,312,625,046,729,563,026,051,364,997,213,756,177,171,671,798,967,655,
208,694,200,025,984,248,491,529,071,626,136,185,752,125,221,279,011,977,505,
280,554,256,575,177,369,412,134,579,224,044,720,709,523,988,100,363,352,687,
098,302,674,244,146,198,344,224,583,161,637,360,549,208,688,426,865,305,492,
052,765,908,603,888,653,566,558,679,574,365,440,623,517,412,663,178,445,656,
132,781,233,118,926,577,881,873,473,268,881,713,469,805,658,422,500,821,891,
586,664,880,167,906,446,609,557,129,687,806,270,437,570,282,496,322,512,428,
493,985,133,277,546,978,891,354,873,537,514,475,771,367,872,065,272,663,963,
185,968,828,005,165,924,694,637,621,599,405,800,213,038,672,615,116,145,970,
237,415,328,820,933,038,013,649,842,040,814,142,573,942,707,743,949,874,682,
504,148,418,871,237,150,728,329,413,139,175,537,753,995,915,930,678,996,719,
666,870,030,576,243,225,417,320,788,847,592,137,138,635,735,816,282,403,456,
432,918,460,762,827,874,795,106,800,487,234,934,502,695,689,405,569,428,202,
831,012,027,807,757,525,167,877,301,490,250,021,221,429,882,104,327,654,001,
034,237,065,650,558,072,830,064,285,309,595,307,209,179,176,795,536,488,397,
267,493,210,192,651,183,147,463,310,978,457,247,996,275,599,705,760,448,966,
555,123,734,544,466,528,570,040,160,717,753,134,442,283,218,581,373,735,471,
075,510,223,616,288,930,608,106,236,472,184,173,095,642,067,799,235,150,480,
515,469,166,549,897,854,043,795,347,692,508,984,916,074,339,610,984,471,848,
098,722,638,993,560,211,107,064,635,117,139,447,759,698,445,919,328,545,470,
857,108,565,306,209,077,252,410,674,582,895,528,901,862,072,862,752,323,906,
712,771,504,055,557,799,555,039,880,791,409,857,318,618,541,564,906,704,200,
561,238,364,199,262,306,813,514,352,014,309,250,877,178,838,270,237,488,539,
123,851,727,077,692,659,600,238,816,641,934,900,002,910,078,815,439,698,520,
984,772,011,457,130,680,095,565,466,927,487,753,591,836,646,358,025,431,446,
862,931,662,861,395,208,588,385,087,917,475,911,486,439,232,910,270,305,611,
602,071,449,159,632,844,615,341,984,413,363,353,747,881,453,408,335,894,498,
889,308,247,922,553,232,800,473,215,804,238,454,320,382,735,705,084,848,561,
730,251,468,897,117,397,752,970,352,979,500,088,748,279,427,206,433,302,645,
661,224,180,849,987,889,253,851,034,851,765,002,502,837,509,809,476,451,944,
095,872,635,917,919,351,733,861,547,946,822,477,863,280,327,232,885,901,987,
579,937,316,819,132,063,440,637,485,260,218,997,282,550,589,876,043,224,439,
916,605,841,311,984,679,351,906,398,179,736,366,954,798,465,242,760,691,460,
033,300,286,947,741,943,999,409,862,891,887,981,117,367,084,636,082,687,845,
899,231,657,885,064,151,688,567,601,510,014,423,933,929,399,858,511,141,755,
967,904,890,361,211,506,104,263,522,536,946,297,973,851,434,663,089,290,886,
738,527,861,700,891,401,578,657,116,639,801,734,157,591,454,773,630,208,742,
400,795,872,708,164,022,497,954,558,905,653,367,378,980,212,864,558,235,661,
205,557,993,497,329,066,835,640,605,854,400,555,176,601,078,390,774,250,383,
936,901,461,605,978,078,400,297,309,148,689,038,459,263,954,786,211,499,576,
506,050,710,673,151,584,387,028,583,827,846,088,335,686,002,575,550,665,046,
022,243,349,150,955,455,872,489,605,675,590,981,850,591,084,799,964,789,676,
568,600,715,441,859,861,622,345,350,322,712,457,546,082,657,262,664,796,484,
198,799,102,914,219,009,146,176,316,698,429,963,499,318,256,690,926,001,112,
010,236,501,147,639,708,792,890,778,090,414,676,651,360,861,774,361,611,263,
160,023,994,149,725,348,756,468,189,198,994,146,067,673,106,020,962,390,887,
791,438,341,615,261,287,482,017,439,937,144,893,686,294,434,370,723,681,637,
748,099,200,174,865,492,624,890,104,718,997,228,785,140,985,668,839,742,156,
639,316,729,960,510,607,712,155,851,776,470,642,890,044,092,753,434,332,184,
360,016,296,580,476,359,255,615,514,116,038,824,496,697,492,481,590,435,951,
587,465,749,432,262,137,094,016,588,503,779,144,647,426,779,582,545,683,250,
570,826,568,601,506,479,152,117,270,605,151,947,205,548,909,128,310,657,302,
082,373,258,723,339,945,122,924,403,890,755,913,678,755,456,467,856,834,331,
973,225,450,287,821,690,455,245,655,796,862,425,098,281,427,024,472,258,818,
891,676,549,726,518,604,362,033,789,274,154,594,573,479,512,932,034,218,815,
263,906,833,103,645,011,758,634,773,367,503,664,056,842,014,046,099,680,207,
209,331,160,577,795,122,467,769,931,402,314,644,284,773,679,073,393,271,352,
710,316,925,746,274,774,851,490,381,029,692,375,773,834,530,174,198,190,726,
171,479,347,534,183,863,520,967,980,635,362,665,347,973,399,508,217,623,967,
162,160,623,038,985,036,939,652,912,696,823,111,862,849,747,642,143,588,499,
493,790,779,929,815,982,857,492,772,893,805,759,314,096,707,941,828,043,709,
535,070,395,039,279,171,215,349,456,974,876,800,207,705,956,706,768,190,371,
064,898,124,691,351,973,444,214,609,424,124,048,944,932,733,967,116,513,533,
149,300,088,678,381,952,904,279,816,376,440,988,619,901,012,479,307,042,628,
411,595,582,830,777,609,059,775,704,126,842,581,207,428,422,536,177,673,114,
214,551,728,285,221,831,280,028,318,662,455,639,892,873,149,116,015,583,295,
640,171,611,926,087,256,252,739,112,709,597,921,872,029,275,135,752,241,103,
751,555,305,683,767,232,147,496,156,904,570,039,574,645,449,909,631,271,607,
277,623,542,091,522,829,238,689,515,593,996,262,229,062,196,570,488,790,246,
080,438,804,824,271,882,125,215,095,044,468,832,564,286,537,931,022,830,999,
685,838,713,627,382,855,786,042,370,553,925,869,046,597,165,596,637,106,027,
064,326,491,247,558,520,204,195,229,687,088,514,995,156,608,927,966,571,561,
965,522,124,749,889,718,919,030,407,556,147,009,261,167,792,669,859,485,085,
057,702,152,676,021,935,481,493,627,463,442,750,370,437,445,922,532,324,910,
288,689,543,121,937,942,812,389,243,051,143,675,855,341,682,840,387,003,810,
034,717,387,932,439,274,763,203,678,298,720,938,515,513,239,505,456,034,558,
955,760,370,420,582,742,771,551,555,069,826,981,769,401,475,417,326,481,615,
580,109,525,186,623,799,537,575,269,310,369,393,819,754,023,453,416,398,015,
348,209,372,426,653,460,533,197,218,841,007,985,694,440,314,377,754,583,795,
467,100,261,685,195,845,874,997,294,350,663,048,821,325,662,476,946,428,965,
716,681,865,202,530,295,652,468,220,495,122,219,678,799,747,377,900,077,227,
987,221,576,905,204,791,484,005,144,542,959,104,103,303,435,747,377,025,318,
839,225,882,477,000,665,393,340,222,492,506,290,563,873,958,087,052,121,182,
997,211,225,234,653,663,262,436,969,475,760,331,477,182,681,702,591,517,197,
204,302,818,683,212,411,480,870,846,964,845,410,589,970,272,076,500,460,720,
827,709,401,036,578,385,441,422,927,337,934,683,612,704,390,668,389,505,857,
802,797,127,680,509,216,984,950,592,826,495,040,140,878,611,441,160,769,406,
049,046,651,992,738,555,126,063,714,850,368,261,793,266,256,608,042,020,656,
591,344,078,986,554,431,960,603,329,460,613,513,897,642,352,245,562,743,651,
556,705,370,061,576,816,990,218,919,201,460,585,309,202,563,654,621,797,294,
308,827,949,723,283,526,440,340,976,699,730,891,087,842,557,660,251,379,760,
698,747,462,409,280,394,466,200,036,962,741,620,133,320,978,794,276,840,731,
463,960,106,123,956,313,489,089,905,927,879,364,302,842,988,137,267,314,392,
561,768,578,007,260,216,370,791,052,632,172,166,158,942,460,358,687,016,938,
509,334,525,112,844,025,551,655,077,216,280,800,415,279,800,767,677,262,219,
165,265,598,057,685,501,236,662,429,895,791,407,801,980,859,819,642,040,722,
982,659,337,758,862,089,159,304,506,921,494,164,150,341,557,291,153,315,139,
091,089,265,581,791,799,565,553,379,616,092,995,768,345,190,708,878,106,000,
156,596,876,958,575,101,959,798,110,354,347,777,059,334,499,570,121,863,387,
426,329,933,336,243,986,819,860,201,932,112,624,781,446,026,669,713,995,482,
876,404,014,685,296,901,579,202,016,953,750,848,915,589,825,148,855,283,918,
035,864,517,733,464,371,897,454,839,043,104,411,551,094,863,699,695,507,547,
908,080,228,953,518,727,793,871,306,165,613,366,220,969,109,015,499,881,379,
117,080,845,449,116,992,942,701,149,580,589,637,882,348,887,427,386,127,663,
789,725,424,249,699,413,158,936,472,678,272,715,936,452,229,061,679,579,343,
063,976,977,017,127,623,999,190,361,696,421,894,228,833,085,087,213,400,484,
815,875,259,851,894,944,364,826,242,756,237,812,971,985,256,561,872,772,507,
101,663,240,809,901,964,867,644,102,249,052,894,161,818,641,139,504,551,222,
366,213,937,770,814,143,851,031,758,051,383,873,878,101,171,814,137,943,855,
878,560,549,415,258,358,726,486,041,369,804,687,008,432,105,443,325,950,575,
214,075,375,657,821,424,748,399,465,970,052,538,159,115,279,321,927,281,720,
605,549,483,749,846,336,744,417,798,382,868,529,177,737,967,802,211,197,466,
069,768,498,703,899,016,570,896,560,343,842,795,443,668,007,379,743,512,084,
753,935,419,800,302,222,196,072,963,382,328,865,822,279,235,504,921,419,948,
503,662,161,973,545,542,405,222,277,892,677,027,063,676,664,608,779,805,381,
145,241,618,672,278,953,980,138,535,160,231,842,913,076,560,564,162,647,815,
657,069,141,431,844,554,813,579,645,886,503,336,651,659,290,093,860,349,020,
948,240,806,707,577,588,446,528,388,861,399,514,892,333,789,822,457,694,993,
818,940,573,524,022,167,792,306,298,051,032,974,672,268,966,874,719,279,516,
346,098,637,773,563,669,135,528,385,936,957,203,888,524,164,401,664,569,984,
827,850,660,291,199,977,542,704,246,656,783,358,000,208,093,965,267,301,914,
237,083,158,252,093,461,326,722,517,998,790,786,704,985,349,600,028,014,277,
413,932,026,152,248,731,908,301,062,750,896,609,868,132,006,040,133,221,107,
285,775,074,635,418,413,994,626,852,058,251,977,574,239,247,117,321,581,864,
064,996,661,324,281,664,817,722,390,704,536,602,627,153,505,540,888,026,928,
093,041,339,101,708,764,806,396,605,057,377,037,326,135,342,524,054,854,733,
959,633,180,552,757,243,383,069,166,633,534,490,512,221,715,595,333,923,851,
365,322,700,524,589,784,092,159,221,812,863,012,184,981,090,560,608,015,673,
532,462,770,988,853,426,388,559,315,427,981,695,561,199,904,503,237,784,748,
276,567,723,408,037,345,993,041,515,293,921,121,650,487,061,981,372,422,596,
637,439,690,925,505,558,732,595,804,724,963,485,937,851,027,779,196,475,113,
597,675,459,133,560,612,604,803,399,266,103,479,725,014,443,590,770,802,159,
280,622,512,524,009,690,765,453,644,144,045,359,722,020,148,368,886,504,919,
912,474,781,106,700,225,558,592,385,816,634,922,211,684,214,865,579,565,863,
043,318,891,609,761,890,756,356,256,934,104,103,721,508,746,425,153,369,914,
771,408,576,221,742,200,719,973,919,169,774,836,201,534,295,966,815,972,625,
241,989,454,545,317,972,515,172,157,736,613,508,567,973,741,862,718,936,915,
698,084,459,482,240,937,496,506,639,675,321,242,872,361,019,390,094,585,635,
276,887,068,520,074,897,528,059,211,907,944,090,158,539,293,277,007,488,330,
377,831,604,687,175,987,455,326,308,753,977,909,837,943,379,063,226,962,194,
838,162,760,266,506,203,206,234,119,805,037,384,071,106,946,095,910,536,039,
221,399,891,166,247,296,495,194,847,627,629,347,185,132,165,480,337,313,068,
214,253,438,216,050,636,195,881,879,079,375,718,651,951,918,638,310,639,349,
775,675,947,150,073,604,477,966,994,577,389,900,304,821,106,260,296,339,565,
502,189,269,601,385,972,047,693,454,336,199,077,336,329,115,012,925,959,805,
678,652,858,885,522,462,622,333,652,982,677,342,802,574,773,150,086,811,722,
366,852,098,101,004,217,141,196,865,382,454,665,285,078,165,940,647,764,848,
037,231,126,181,187,154,992,087,951,587,163,894,041,865,439,413,834,941,143,
590,396,169,753,910,516,040,113,547,321,915,020,526,776,278,711,766,704,182,
367,319,575,114,917,739,392,674,114,689,471,629,873,145,577,659,243,998,105,
760,267,733,891,309,768,598,990,308,455,822,080,051,862,479,727,099,172,466,
258,705,514,801,306,318,956,846,056,987,870,246,180,318,911,274,801,572,965,
811,029,276,512,054,793,927,760,670,424,542,359,752,282,361,170,197,620,769,
926,055,628,947,339,454,791,572,692,481,207,078,522,400,358,792,276,423,120,
078,115,711,820,335,460,887,127,779,580,955,778,633,816,955,593,785,238,609,
858,826,563,974,757,907,113,174,683,798,412,092,285,949,800,790,929,205,179,
417,878,518,734,156,484,179,257,917,181,071,723,591,990,950,958,090,761,081,
776,311,542,299,614,748,664,456,513,210,722,122,932,117,600,858,391,546,418,
539,488,454,561,794,561,781,162,143,506,323,829,628,309,909,897,836,866,241,
150,001,401,894,390,328,162,886,744,159,985,863,501,212,605,853,739,341,527,
495,924,244,279,955,298,635,634,868,311,744,467,277,758,401,173,134,138,461,
252,002,171,218,129,950,141,336,487,917,217,558,208,179,556,231,743,013,786,
175,626,660,432,453,177,523,814,118,326,932,874,424,254,965,888,770,002,376,
341,697,048,341,785,522,548,067,686,738,705,703,944,491,521,403,572,160,873,
808,290,555,405,566,964,496,566,429,686,496,576,934,065,528,186,871,135,508,
546,932,485,458,557,837,193,601,781,810,477,315,356,354,411,364,329,547,442,
181,251,454,499,195,018,968,647,373,812,308,358,871,998,646,717,146,618,187,
773,952,126,804,673,689,413,557,481,948,465,656,756,996,675,133,210,021,602,
747,484,854,220,301,535,520,639,986,565,301,293,994,889,532,943,702,892,547,
268,215,609,180,307,878,383,006,992,185,845,523,328,670,362,230,525,256,304,
768,700,208,868,394,658,189,516,857,993,992,775,299,919,416,939,256,709,002,
354,731,667,909,712,211,103,846,572,370,782,682,057,616,068,167,008,765,935,
674,040,649,691,101,411,151,835,034,353,648,068,234,227,603,450,170,742,140,
308,407,683,100,143,733,456,014,727,822,029,058,853,493,383,834,226,542,766,
980,106,553,342,181,562,303,362,813,405,189,745,436,944,786,081,693,073,621,
582,342,464,651,645,650,451,018,250,824,490,824,797,808,611,614,717,669,580,
779,551,444,574,518,943,711,200,408,915,846,502,425,270,972,995,053,880,384,
876,246,111,167,633,058,948,740,257,859,084,887,726,712,294,088,933,541,754,
918,413,351,388,083,892,190,802,629,752,744,153,212,019,361,333,321,911,383,
190,521,092,038,349,474,968,157,812,057,831,152,180,222,605,184,559,597,994,
373,652,447,914,654,776,422,019,611,537,973,715,587,891,597,871,446,165,762,
337,549,113,970,349,235,462,024,086,853,711,305,532,934,828,539,778,966,951,
380,904,238,772,460,595,524,482,197,905,787,325,239,656,854,070,754,823,698,
073,644,791,968,089,640,044,701,294,560,146,085,091,462,443,866,519,523,115,
531,564,421,812,148,136,508,586,381,726,341,980,917,391,583,050,381,327,924,
835,245,707,980,951,804,698,872,615,185,413,919,085,819,991,496,846,890,300,
873,766,718,779,233,960,937,665,863,922,936,933,745,668,270,113,452,754,902,
485,890,622,801,246,809,238,269,589,064,572,146,165,365,701,308,872,695,693,
342,995,001,029,923,849,530,391,470,817,202,377,124,378,957,971,397,176,960,
632,393,000,836,718,122,587,002,742,502,731,360,553,233,907,090,476,863,693,
883,473,033,390,555,035,165,374,646,614,384,916,887,288,117,114,242,390,892,
555,140,507,207,878,912,441,969,635,681,230,284,273,310,545,394,130,443,230,
103,377,274,905,341,820,415,142,226,165,343,942,591,591,890,329,670,376,185,
510,594,643,406,405,636,804,342,248,280,132,068,147,718,018,749,104,579,772,
375,654,886,712,234,525,215,012,984,358,790,688,311,940,107,331,723,224,488,
550,420,511,332,584,627,326,612,604,800,959,183,232,644,463,554,701,766,843,
012,905,703,156,527,580,529,807,471,551,959,401,391,419,460,259,158,774,629,
036,208,872,094,519,954,465,748,792,578,767,451,988,783,913,258,353,364,761,
473,285,301,041,858,368,766,083,731,161,856,803,316,436,103,802,259,269,259,
513,414,707,453,795,270,438,604,910,691,374,811,409,120,882,660,028,050,201,
374,996,367,562,859,199,327,201,027,575,017,613,070,807,900,088,130,276,547,
903,713,787,298,309,375,596,780,833,793,393,933,992,607,204,452,423,998,772,
570,780,692,307,004,172,952,571,182,421,010,366,992,208,292,131,230,938,393,
887,177,181,991,750,484,796,933,789,815,932,331,796,742,515,851,753,220,212,
145,154,942,847,502,194,275,594,592,524,329,394,581,155,535,142,887,171,817,
669,794,575,867,027,390,561,203,329,635,121,809,253,023,880,438,687,272,672,
964,909,072,534,689,682,561,944,467,835,627,425,195,903,611,768,865,630,032,
289,129,365,513,040,840,904,354,725,791,337,531,128,549,400,753,194,698,210,
863,781,344,075,155,308,517,309,680,911,398,947,024,580,952,962,407,916,683,
243,685,826,272,248,476,657,627,599,186,263,995,241,091,424,856,931,994,340,
548,565,189,295,169,450,033,253,545,501,016,086,765,763,038,637,537,182,909,
380,881,481,791,926,806,641,732,411,375,251,974,353,984,702,266,995,035,153,
922,128,965,771,741,103,178,828,174,196,347,490,177,078,559,963,109,961,095,
489,998,561,122,681,633,065,655,357,493,005,430,478,657,209,586,515,083,530,
490,643,646,906,803,813,468,611,473,846,516,718,708,710,145,280,768,051,383,
019,933,126,670,815,647,020,055,539,102,996,841,308,065,022,784,481,490,495,
079,561,671,134,842,193,168,405,190,415,214,904,669,128,849,542,006,998,534,
178,015,894,924,758,807,058,909,333,045,769,687,153,688,875,418,497,454,903,
444,044,605,734,428,977,005,307,605,753,116,303,547,302,607,182,509,934,494,
047,725,500,530,095,897,025,826,380,482,267,090,816,954,592,069,329,507,205,
999,844,187,921,805,898,644,875,750,073,109,132,452,024,531,969,479,043,386,
138,947,695,360,054,389,033,511,848,855,676,470,161,471,582,699,725,330,825,
092,296,321,257,547,406,767,228,573,843,632,239,935,194,949,500,815,008,488,
034,499,631,968,496,942,481,163,337,146,878,167,364,842,067,530,706,975,497,
693,248,413,076,489,505,463,689,611,188,436,641,880,428,304,831,407,333,603,
087,057,059,654,001,583,859,341,334,768,470,052,148,365,229,590,802,475,505,
417,991,943,077,956,617,305,938,613,219,175,195,877,529,968,729,973,071,069,
581,654,655,147,225,936,534,413,154,577,140,748,454,174,698,523,177,357,163,
661,342,719,757,450,830,245,201,736,849,026,025,820,335,972,294,219,977,065,
477,274,252,739,577,168,960,256,629,538,875,254,662,524,033,287,865,483,695,
377,826,921,715,081,892,216,927,654,349,189,858,386,187,745,374,337,823,890,
286,321,210,675,581,340,373,087,984,879,643,677,235,347,850,772,383,511,722,
606,027,508,569,286,932,032,337,530,498,272,792,823,305,407,857,108,101,423,
078,920,076,958,408,824,751,293,678,393,827,456,508,655,764,524,029,552,015,
356,832,942,423,604,819,218,730,273,024,191,980,733,712,710,759,319,748,311,
459,301,878,315,696,594,994,994,637,740,407,644,084,937,911,081,960,025,463,
181,104,820,582,725,767,225,958,652,628,110,910,819,105,711,232,021,108,393,
663,746,334,371,332,740,112,342,668,108,798,073,012,022,456,111,348,530,075,
145,351,563,556,635,453,519,604,201,883,305,855,175,825,258,185,278,413,287,
777,483,186,320,028,656,245,457,794,964,500,318,793,304,439,119,607,401,565,
861,716,709,817,551,257,774,238,233,054,864,558,149,386,731,149,120,741,328,
728,547,946,439,392,031,816,028,788,772,342,421,068,650,219,535,504,794,238,
214,339,477,708,988,330,319,455,175,213,364,388,229,584,396,921,742,292,940,
648,861,934,775,273,519,148,477,005,874,424,612,933,011,748,035,360,114,365,
141,253,526,150,379,536,534,569,653,034,635,068,613,140,515,160,630,762,617,
534,483,129,211,683,263,769,145,580,820,432,989,502,320,695,131,533,119,159,
094,674,629,663,507,117,727,953,729,902,249,652,941,264,305,080,836,792,599,
158,016,776,800,127,356,144,023,856,965,458,037,219,522,165,801,999,076,246,
343,864,144,409,833,722,468,651,535,245,408,837,571,657,580,664,717,263,166,
508,060,630,148,421,969,706,363,680,958,102,974,969,840,944,225,136,722,938,
624,954,949,084,201,073,639,919,696,472,739,273,303,445,575,301,381,260,285,
436,672,035,166,016,119,194,719,343,664,639,129,020,462,457,681,319,238,581,
346,439,582,092,561,674,582,614,609,692,130,964,278,490,218,233,650,914,857,
337,230,601,982,509,592,523,547,859,510,115,772,276,378,127,025,242,506,562,
631,436,087,720,347,173,332,320,804,769,123,632,687,529,580,309,751,724,062,
791,648,778,837,560,796,379,485,451,164,785,388,311,329,509,771,184,842,931,
387,062,852,974,260,988,886,240,068,146,665,475,270,949,414,864,011,507,620,
387,253,630,583,848,118,063,661,148,938,268,311,471,563,547,875,940,155,766,
017,729,531,596,716,851,450,154,936,467,014,104,575,803,617,949,365,726,114,
838,262,224,662,768,071,507,321,512,131,320,109,870,718,087,788,081,299,149,
551,875,031,834,984,905,018,282,043,655,470,865,569,546,756,177,652,186,563,
539,754,277,524,839,248,063,278,186,987,666,710,600,837,720,387,456,960,921,
884,767,230,291,056,845,988,621,693,767,366,965,107,228,793,991,978,440,557,
411,132,762,642,848,982,316,780,992,404,777,430,243,042,384,129,653,007,972,
069,480,662,960,229,071,181,064,304,253,022,336,247,732,369,976,684,865,496,
726,218,550,611,991,118,196,789,596,295,553,839,687,513,507,476,769,256,635,
940,702,115,970,387,872,356,311,712,873,744,569,716,493,523,239,529,004,356,
469,919,112,712,879,278,668,462,378,624,609,093,068,334,473,115,562,384,812,
790,133,076,632,060,484,675,716,239,534,954,574,003,890,587,116,562,509,763,
082,050,389,484,067,620,074,196,673,650,314,629,239,798,992,826,795,272,928,
549,365,731,767,577,124,450,013,015,493,734,524,024,788,258,989,252,780,199,
623,538,068,283,954,239,223,848,567,173,897,632,786,055,266,652,410,416,287,
563,287,054,964,888,539,093,272,231,804,949,764,987,876,855,782,010,172,530,
538,335,427,443,120,070,233,914,489,570,446,067,270,038,440,436,071,891,878,
364,034,758,791,183,922,775,414,338,973,817,598,520,044,280,178,040,544,764,
182,245,415,027,134,133,709,481,079,341,050,167,890,738,061,997,402,429,177,
709,464,439,440,133,399,710,792,769,182,725,276,508,944,649,147,256,452,510,
418,352,204,662,692,740,929,818,551,343,887,315,992,770,487,459,154,351,903,
613,473,822,117,723,247,256,777,401,007,409,098,380,081,514,475,765,697,564,
313,801,325,671,887,338,120,431,895,287,188,969,884,860,008,793,158,227,003,
166,823,410,505,809,404,391,036,178,535,306,728,482,228,320,547,056,937,221,
493,256,730,118,858,463,535,655,386,386,000,549,040,312,477,973,713,543,563,
647,101,754,111,015,700,595,325,833,269,367,689,080,328,335,829,346,443,471,
109,219,182,273,370,894,388,037,652,418,206,674,765,972,858,759,490,354,022,
847,886,730,089,207,918,969,680,888,001,793,566,136,624,560,466,221,629,143,
466,879,642,514,084,352,066,686,457,717,475,912,945,828,074,754,044,580,031,
116,525,020,146,738,406,292,067,782,055,062,946,665,046,106,248,693,480,796,
674,477,110,258,606,593,949,897,106,363,450,214,793,034,512,821,071,633,843,
327,270,567,598,209,463,762,173,081,124,389,026,573,209,486,580,946,680,440,
921,590,524,399,115,289,514,689,020,192,772,247,822,162,117,131,972,470,413,
951,938,995,255,519,289,632,150,543,015,873,944,743,823,221,040,607,109,450,
553,336,160,969,129,388,913,173,006,793,872,987,137,513,136,164,224,614,607,
937,544,320,243,042,841,264,011,935,756,329,749,083,978,583,124,710,108,761,
635,810,375,592,053,314,409,703,581,041,852,326,063,655,688,131,253,351,088,
569,998,043,003,503,461,313,800,008,551,805,896,695,804,956,958,672,311,702,
527,140,604,734,677,149,646,022,991,412,098,915,175,874,670,816,190,262,980,
724,913,470,407,206,937,941,459,927,643,538,250,897,146,058,670,612,928,074,
577,452,786,616,840,913,147,646,543,529,251,535,161,605,986,137,929,049,516,
032,334,016,733,147,789,182,443,973,317,584,678,943,636,755,447,643,705,428,
771,797,889,715,414,736,308,024,738,446,866,588,672,929,878,324,247,795,916,
309,185,792,003,478,102,064,006,644,686,840,431,239,989,557,350,782,876,592,
730,986,275,164,483,250,143,436,318,625,432,428,156,396,119,161,424,696,566,
198,292,777,413,046,914,784,705,342,871,890,288,396,087,555,103,739,767,025,
367,240,097,864,592,218,392,398,790,044,318,523,353,093,115,221,109,509,822,
499,095,887,672,098,818,549,196,681,768,563,809,835,425,559,028,530,378,586,
369,762,064,654,273,274,584,615,229,172,497,659,307,360,426,458,143,955,691,
672,146,366,771,513,346,971,757,166,910,459,415,584,668,587,119,405,193,294,
981,032,203,184,969,187,711,640,881,592,420,770,084,316,316,766,071,869,171,
611,366,358,804,886,504,329,474,892,527,819,102,954,740,533,114,869,921,484,
581,184,014,818,517,734,056,715,261,031,064,316,240,882,636,340,667,046,203,
288,444,906,813,028,983,758,272,097,119,979,224,069,959,837,005,260,418,667,
874,666,854,708,217,280,088,377,165,719,640,398,864,752,574,720,950,755,151,
369,198,849,487,939,243,282,597,434,172,407,576,729,751,790,332,862,083,276,
219,360,645,507,552,627,844,023,304,131,534,427,564,786,776,319,051,099,504,
081,051,433,766,490,601,534,368,563,235,910,354,249,972,765,065,033,368,261,
155,131,757,397,132,792,525,536,838,883,378,754,781,331,540,093,654,089,826,
797,128,979,123,034,916,054,080,202,751,117,020,955,627,715,110,290,334,255,
856,412,415,499,400,481,986,596,870,291,643,936,061,629,828,625,502,732,929,
760,839,021,158,012,084,854,936,932,146,394,080,731,976,713,235,869,609,822,
254,791,233,433,262,970,425,678,343,444,813,469,435,534,686,252,234,966,537,
408,905,069,209,779,331,651,370,002,622,643,758,233,722,713,236,715,740,491,
171,480,916,957,178,436,291,966,564,278,301,154,322,425,224,302,230,066,249,
654,989,876,308,065,975,508,060,628,150,595,031,575,429,832,555,145,107,567,
521,081,154,786,133,151,020,455,965,670,466,359,903,013,191,980,073,482,774,
858,463,553,614,275,831,314,110,936,212,614,914,309,191,610,616,563,631,699,
877,126,691,639,820,390,684,638,484,592,442,375,237,336,328,021,150,906,385,
534,887,428,339,830,548,350,317,591,937,815,567,654,582,337,494,618,883,803,
447,583,617,903,774,730,910,313,143,457,659,301,431,244,014,043,918,855,340,
570,237,963,628,871,693,113,251,275,695,984,685,669,058,088,710,261,976,473,
459,432,774,987,382,040,305,944,439,249,539,313,043,938,949,182,628,126,071,
638,630,887,438,256,809,435,765,147,644,567,609,448,208,170,155,293,750,610,
010,259,925,531,687,550,771,902,270,063,845,399,943,548,303,993,139,265,624,
908,025,410,051,434,741,212,675,621,503,777,866,528,664,234,469,932,130,889,
375,750,999,989,967,162,105,156,268,356,740,231,320,397,789,432,392,856,042,
765,101,217,954,855,372,368,518,778,976,395,766,221,479,781,355,945,734,722,
886,148,159,129,526,240,912,380,570,044,243,125,690,485,891,486,681,294,084,
757,300,346,757,528,302,991,705,330,609,617,695,630,092,521,812,815,986,932,
158,931,774,749,583,190,484,617,305,614,688,828,735,926,413,783,720,024,976,
059,612,070,738,973,645,967,893,736,137,546,208,407,059,162,067,840,567,502,
287,111,801,734,679,560,161,331,463,036,099,721,918,435,302,497,456,838,832,
870,465,301,367,741,233,593,464,816,667,434,357,766,021,660,202,512,987,473,
132,721,488,137,487,176,812,791,975,450,534,640,371,222,282,070,825,871,195,
734,203,776,815,021,456,053,511,016,960,779,412,164,264,053,574,041,679,814,
903,065,442,296,869,268,134,825,647,570,991,631,217,406,307,333,081,307,377,
724,565,633,930,149,447,343,419,852,225,660,556,160,088,259,414,664,403,171,
155,471,167,274,304,019,578,640,513,982,529,059,497,569,776,582,244,125,863,
152,730,939,522,147,929,841,348,661,220,506,262,847,364,706,632,040,489,679,
122,421,775,303,655,278,383,013,965,641,993,558,630,953,174,370,311,354,987,
242,183,326,946,938,346,196,249,073,580,784,970,607,061,411,990,547,499,469,
494,716,161,032,978,595,577,076,259,504,100,072,971,384,566,682,689,717,868,
839,822,583,599,310,121,179,291,998,224,967,899,973,189,773,243,196,949,771,
892,386,323,521,391,976,726,998,136,628,997,738,250,344,394,208,756,941,196,
510,325,730,907,022,597,560,370,756,586,567,391,493,800,933,348,819,618,870,
269,460,023,560,510,686,999,836,234,540,071,259,455,217,173,556,661,095,124,
550,201,408,059,577,478,371,829,385,426,887,871,878,622,714,983,404,868,945,
862,763,996,106,238,910,613,892,485,301,234,251,715,841,284,399,537,107,793,
235,893,574,679,251,753,623,448,579,241,613,234,186,259,085,589,266,398,406,
074,687,086,065,744,770,202,941,541,136,355,802,191,423,448,200,785,242,936,
808,031,621,122,218,361,666,800,489,244,357,804,922,270,578,223,282,861,987,
013,111,582,615,142,463,032,677,144,369,273,215,914,466,817,677,057,574,874,
157,664,608,431,991,281,698,750,803,119,244,540,477,013,058,251,889,722,742,
872,058,496,599,029,854,296,631,155,030,307,675,291,668,776,565,482,919,499,
685,045,580,714,183,425,586,743,019,542,241,418,393,675,480,592,249,840,849,
112,777,764,007,601,149,689,938,951,414,616,292,964,762,425,030,992,259,789,
373,811,181,571,159,265,692,644,277,539,002,758,003,193,580,858,410,332,609,
127,637,383,460,719,882,405,869,508,868,668,249,930,261,315,154,540,082,078,
470,171,807,948,167,402,684,918,334,000,942,952,356,700,775,220,873,913,606,
374,527,846,589,236,263,533,446,175,047,589,584,639,928,377,781,364,863,739,
437,080,118,234,753,341,575,802,548,048,890,898,830,766,420,549,938,405,432,
956,630,732,698,395,924,062,652,226,957,147,415,185,606,758,826,834,774,199,
223,753,131,718,774,678,491,041,311,185,780,637,208,075,361,003,675,644,909,
208,811,483,162,168,121,087,460,949,939,272,872,729,954,814,541,452,346,829,
021,343,499,578,143,166,213,174,071,614,201,485,491,478,135,647,177,768,569,
104,238,010,618,596,074,608,250,305,150,315,040,544,127,869,374,169,575,264,
121,021,510,656,122,225,250,093,944,309,568,019,563,935,084,175,011,374,435,
289,683,031,221,656,532,553,899,685,824,457,086,156,269,093,286,199,962,915,
201,462,095,563,505,144,579,395,883,200,134,066,555,959,983,172,703,213,401,
235,506,956,078,266,562,550,426,519,281,261,979,382,589,282,220,499,249,289,
346,598,102,880,263,196,078,770,521,006,187,801,715,452,166,031,233,634,066,
843,925,223,539,678,090,997,489,132,297,189,345,150,518,691,527,913,965,391,
515,926,513,075,408,021,901,326,583,019,004,954,356,327,584,262,625,282,342,
529,729,322,256,605,626,661,602,299,500,788,059,115,701,979,808,797,498,089,
854,776,804,358,206,752,848,347,198,934,961,685,088,320,943,619,052,933,088,
084,411,666,653,702,594,681,230,435,470,124,406,314,268,795,678,721,811,142,
933,518,410,172,995,698,895,000,762,737,911,620,793,828,520,133,674,722,791,
390,377,401,445,190,846,105,967,830,280,011,574,703,914,045,265,167,877,645,
087,900,854,232,536,012,516,343,191,312,978,874,966,023,305,972,297,745,661,
511,510,869,417,565,724,752,686,653,764,992,103,789,352,297,232,704,009,564,
239,785,146,515,673,130,232,347,479,084,299,533,064,333,814,724,521,651,435,
809,587,889,497,223,206,269,327,071,625,789,460,762,954,825,542,760,983,589,
747,893,915,910,529,950,597,129,428,626,954,163,837,711,525,536,717,302,063,
983,393,527,086,201,878,740,169,599,767,130,054,319,812,912,782,341,519,599,
295,417,528,360,136,535,811,266,510,352,595,337,723,109,610,487,768,280,700,
298,660,973,090,655,780,266,936,326,140,698,873,581,513,666,551,114,257,028,
279,776,850,752,293,996,786,975,403,305,675,828,857,947,478,206,472,283,879,
574,712,510,986,575,527,544,882,889,630,080,294,866,432,495,149,591,484,178,
637,991,574,561,258,417,847,417,791,776,605,244,653,227,019,474,613,651,658,
843,363,968,372,374,732,178,494,170,359,744,138,838,000,023,557,308,182,791,
484,123,464,289,108,736,594,050,678,018,540,860,790,391,310,712,412,124,715,
292,029,796,838,049,861,282,720,809,395,168,636,260,431,776,790,076,751,295,
821,908,178,942,404,345,857,755,329,007,098,766,557,401,127,676,453,692,788,
198,450,243,702,906,155,387,788,759,810,686,973,196,272,307,315,664,305,051,
928,642,159,284,514,129,647,877,695,212,184,675,170,603,274,977,088,440,326,
422,599,870,720,161,359,402,549,721,615,194,502,960,021,744,714,320,723,466,
006,719,334,240,967,317,008,344,117,353,005,085,237,674,143,295,692,354,271,
410,564,310,154,925,350,132,172,040,969,888,225,083,665,484,388,708,595,114,
014,076,699,691,227,928,131,301,786,921,019,285,082,545,921,680,112,670,648,
585,716,088,752,241,066,879,112,532,767,444,309,855,285,121,429,862,528,697,
634,244,588,585,092,345,428,993,967,664,914,614,825,062,379,787,658,071,226,
516,708,694,786,818,567,217,978,497,438,933,894,309,723,653,051,702,814,139,
416,058,458,458,005,772,253,604,756,478,806,014,355,502,651,095,782,554,201,
771,626,122,399,112,062,051,692,204,896,018,487,491,886,060,943,461,762,145,
487,710,399,261,454,185,420,801,824,532,817,425,278,044,701,173,336,889,585,
524,604,531,895,408,707,856,377,544,653,626,093,427,683,759,920,611,285,594,
114,172,377,814,279,571,983,313,314,837,130,545,684,934,397,507,265,354,977,
564,410,169,266,574,094,538,702,515,402,756,638,614,271,221,009,441,930,269,
141,190,785,376,226,260,223,112,747,121,394,332,054,381,408,104,289,583,766,
428,450,600,885,560,844,228,602,288,434,630,700,069,566,221,842,910,938,617,
550,624,474,732,419,027,897,578,210,098,238,711,810,743,010,164,004,805,932,
498,769,792,424,591,202,243,122,246,581,156,697,066,138,682,214,347,293,093,
694,411,600,129,950,012,641,749,102,175,336,066,835,224,359,256,177,550,899,
903,497,713,934,405,644,229,761,357,028,910,217,548,292,792,749,755,829,425,
232,383,604,997,387,653,571,364,128,127,317,702,836,254,404,727,732,776,769,
016,234,075,576,647,433,932,727,518,787,008,550,519,472,858,680,502,459,947,
011,591,052,160,753,145,698,171,371,425,939,662,488,183,563,913,866,773,849,
933,758,124,879,689,330,672,106,629,116,402,829,038,443,407,348,426,168,210,
647,301,907,033,469,645,311,802,383,212,640,896,610,628,782,345,595,655,443,
717,848,195,010,949,181,188,278,031,794,474,137,893,338,679,978,396,518,163,
107,681,315,945,433,054,756,581,513,738,442,305,778,037,621,470,355,747,286,
334,756,835,345,885,874,365,763,511,208,945,987,928,481,069,866,072,322,421,
830,686,300,992,161,009,380,504,900,639,354,478,058,730,866,200,118,606,695,
107,348,437,299,286,796,135,838,920,813,912,068,168,118,992,987,178,628,505,
310,357,229,157,599,370,187,138,137,892,953,187,720,114,071,045,526,080,976,
918,335,021,145,998,684,997,060,399,263,488,446,791,783,939,594,861,291,157,
292,090,688,596,505,815,592,340,498,817,035,065,960,165,058,655,340,184,730,
362,939,696,547,185,799,017,451,332,467,401,062,761,795,177,105,443,303,125,
266,875,766,052,847,713,379,721,163,400,033,682,319,225,992,083,376,663,104,
238,544,903,549,487,795,381,014,460,278,973,684,675,810,992,057,397,963,948,
636,172,245,323,605,746,223,154,381,410,383,186,052,960,312,490,137,962,572,
516,216,871,194,163,968,296,648,945,708,231,499,164,216,140,840,408,902,348,
202,897,503,299,518,826,528,889,450,140,985,381,024,995,192,582,847,104,720,
917,948,615,334,706,350,095,021,919,273,812,424,849,421,263,628,113,288,554,
746,636,218,823,996,742,146,717,552,012,493,311,476,765,961,194,989,756,255,
601,664,122,296,733,106,369,265,337,221,840,121,070,353,743,726,289,217,591,
609,702,625,820,292,779,297,870,833,136,366,484,745,189,090,107,574,670,224,
366,580,295,986,654,267,708,111,657,706,027,842,397,241,628,587,795,808,078,
422,774,516,497,277,711,992,957,215,086,660,761,999,526,520,851,983,759,255,
682,623,770,323,683,759,941,773,471,444,180,342,565,731,834,349,132,218,223,
855,519,307,850,501,846,591,252,480,453,730,568,337,480,951,495,898,814,385,
989,658,780,603,683,825,840,404,128,395,217,960,245,390,791,149,218,617,229,
409,664,967,574,709,004,027,412,882,807,671,242,132,202,287,617,843,932,711,
355,086,204,094,193,393,303,546,833,571,291,710,449,115,032,954,682,083,754,
834,824,608,230,559,056,675,005,438,545,336,614,241,691,315,790,256,207,354,
927,695,744,673,087,877,403,692,111,436,746,893,043,007,468,037,760,105,090,
604,443,776,700,767,204,093,964,768,654,939,074,979,861,600,835,623,575,984,
851,653,357,457,467,927,407,464,472,008,062,517,390,345,351,539,084,188,331,
845,490,030,488,648,811,214,545,828,603,757,930,413,018,973,175,752,765,706,
241,209,726,910,008,711,450,758,195,606,382,605,550,707,860,354,500,987,410,
052,261,735,081,473,241,621,517,470,611,488,525,951,454,074,607,387,024,062,
477,013,779,586,584,393,947,483,947,808,853,125,797,354,937,620,358,778,341,
988,487,043,751,424,889,403,414,919,174,597,785,487,234,812,571,838,631,792,
232,136,639,576,778,093,893,656,203,582,061,501,808,195,060,510,087,302,761,
066,683,784,705,211,386,424,170,189,061,745,962,547,308,305,582,838,441,890,
764,744,762,314,281,320,426,097,865,002,068,354,041,614,199,591,380,184,448,
408,042,022,930,210,838,273,397,566,339,635,740,212,499,033,104,403,590,949,
960,548,737,502,987,748,085,637,815,695,293,843,679,153,076,048,400,010,814,
947,618,412,346,021,826,316,029,029,748,194,653,128,559,880,064,822,395,510,
982,317,278,594,649,211,469,945,487,321,735,128,031,668,403,269,596,778,957,
807,327,158,104,466,657,121,618,307,473,043,019,087,624,287,618,258,097,580,
176,601,628,182,726,424,336,869,545,767,346,473,127,772,223,557,838,436,533,
319,121,182,690,087,468,944,040,480,074,072,290,582,944,312,227,062,469,259,
716,063,465,806,429,264,657,339,034,714,598,714,026,404,208,121,921,647,555,
950,123,814,782,436,435,332,910,639,816,870,865,912,778,294,858,957,045,250,
546,195,608,332,736,394,588,761,173,378,752,157,145,937,367,478,572,056,788,
250,382,135,948,373,213,687,486,286,621,600,697,632,456,814,475,836,326,219,
825,849,611,074,206,718,651,587,871,292,002,952,328,880,290,790,231,989,308,
952,520,646,451,221,929,721,994,742,098,178,377,554,792,738,689,303,431,635,
668,700,287,542,647,550,694,524,432,542,986,888,238,070,516,502,064,033,098,
434,740,221,041,543,004,605,583,118,314,543,598,474,762,050,483,658,794,904,
201,910,972,719,951,302,819,234,869,489,206,559,549,066,865,910,697,711,999,
793,303,238,620,177,915,477,763,474,433,968,743,336,997,066,252,684,281,750,
308,124,825,324,286,280,566,161,747,373,358,527,565,875,146,947,739,075,706,
456,271,833,166,632,544,767,834,848,965,372,270,857,900,811,984,767,798,985,
758,078,914,973,925,270,590,436,876,219,861,123,876,606,403,928,972,023,010,
068,418,983,176,206,571,570,592,536,081,686,731,919,485,680,143,933,348,474,
457,488,905,408,501,409,098,739,985,205,638,009,196,423,259,134,651,301,431,
417,432,519,332,355,416,116,857,273,182,600,653,149,999,265,473,659,002,315,
044,420,563,665,701,374,696,491,085,378,348,319,124,287,843,328,668,935,963,
813,202,224,343,896,228,193,702,031,473,175,141,052,500,074,901,196,050,396,
681,894,214,277,691,466,103,779,905,790,135,157,221,593,604,481,930,148,305,
011,658,293,602,932,556,911,912,070,880,710,763,723,704,701,482,817,167,836,
354,816,395,338,531,129,521,994,051,373,433,193,517,621,992,496,696,414,265,
525,771,719,658,247,064,060,833,298,618,511,717,615,307,899,928,789,079,067,
833,195,054,758,483,657,002,613,831,371,091,003,705,208,459,845,677,864,808,
462,394,242,682,355,268,330,878,016,513,134,684,982,653,089,954,291,621,633,
234,001,876,293,142,504,445,744,994,507,851,503,820,062,249,100,917,307,112,
444,532,058,669,342,666,525,390,143,566,739,898,912,895,079,930,622,272,088,
150,707,929,856,528,052,739,210,519,597,392,089,725,971,800,087,989,087,705,
667,432,960,684,963,906,835,455,163,011,623,855,720,091,207,612,803,770,005,
931,991,278,822,500,352,115,515,991,244,107,474,750,855,203,390,142,936,436,
822,328,703,838,505,804,628,187,868,925,682,245,893,602,047,059,694,692,988,
093,980,489,180,099,463,005,431,162,067,590,788,351,051,625,887,888,706,572,
392,857,076,264,421,732,471,479,294,207,249,025,304,630,562,721,931,213,943,
774,608,637,564,958,566,281,951,006,816,077,867,459,078,123,665,317,581,548,
382,596,278,098,567,999,767,491,520,642,591,174,245,084,729,410,551,647,168,
350,443,001,301,961,229,829,791,933,283,605,630,290,761,986,240,665,815,132,
349,754,032,328,095,499,105,251,905,010,210,098,917,916,345,550,841,982,195,
874,339,445,663,371,326,294,197,805,425,157,234,214,632,127,949,805,428,851,
839,798,460,147,570,764,236,708,416,821,441,759,692,313,404,347,002,202,574,
901,667,757,908,919,404,611,594,977,848,432,333,743,572,633,703,584,988,517,
443,606,472,223,679,749,300,441,272,933,476,348,497,237,507,010,679,314,411,
115,703,620,174,108,445,403,062,608,974,112,795,538,537,550,855,536,356,263,
324,528,581,016,990,235,161,398,669,663,843,965,873,580,168,606,383,065,472,
942,331,320,568,206,851,203,363,994,540,981,958,436,887,974,453,337,444,777,
354,494,902,216,916,984,021,047,402,814,303,696,800,478,975,521,900,616,584,
091,762,366,418,529,666,956,846,911,306,880,395,907,640,826,587,692,452,985,
861,530,069,578,945,122,011,400,800,848,318,572,726,166,103,213,808,947,272,
168,399,255,411,861,171,787,922,410,593,611,594,616,026,999,756,199,036,330,
837,711,913,380,562,200,237,594,433,538,443,531,947,143,576,246,001,461,816,
547,497,913,274,176,699,685,285,906,339,947,518,438,143,136,445,198,355,863,
700,343,060,903,816,705,931,806,512,271,215,443,416,951,372,530,580,299,272,
229,878,176,902,859,035,357,351,252,910,669,494,283,228,644,817,370,568,736,
857,238,029,401,502,008,592,665,025,308,154,761,653,497,071,873,300,587,392,
854,476,309,832,367,217,100,093,312,524,371,798,897,971,894,660,277,561,195,
129,221,504,424,156,325,231,611,137,120,540,953,476,840,907,302,515,887,093,
463,687,052,298,173,865,633,272,533,537,022,713,513,391,194,178,158,887,637,
610,373,336,764,310,697,436,012,075,091,723,607,660,118,278,429,595,103,589,
480,495,618,214,710,529,121,455,881,486,982,857,891,223,047,446,686,025,818,
879,985,786,455,337,082,229,446,719,891,819,467,749,596,366,666,960,065,769,
187,101,572,203,368,534,872,873,189,998,370,809,715,752,518,642,505,686,246,
883,764,324,467,592,587,351,367,053,711,272,022,564,523,057,353,633,375,881,
052,559,543,038,835,500,039,654,253,256,759,671,688,473,714,468,022,184,729,
726,081,657,852,606,065,274,815,924,074,680,141,183,573,456,934,862,086,866,
681,368,946,735,969,042,288,571,053,306,025,306,169,600,694,710,677,615,939,
833,800,631,843,184,621,998,943,082,755,208,601,230,940,807,016,508,825,908,
566,397,476,652,767,965,875,412,586,538,992,525,915,919,341,820,109,572,994,
463,132,341,127,715,286,858,251,239,148,475,408,630,669,843,967,992,193,726,
716,348,572,063,795,546,690,095,688,215,906,313,117,010,053,072,843,609,120,
664,534,555,930,925,331,537,281,051,593,030,601,325,107,561,659,035,712,920,
983,442,617,469,796,987,796,656,169,620,212,486,224,057,777,763,757,847,899,
086,325,362,279,419,607,634,502,348,884,930,646,891,786,052,591,608,887,862,
907,912,484,820,303,593,127,736,405,633,965,131,405,793,156,932,380,455,461,
347,083,208,325,370,505,610,799,094,597,176,156,313,939,104,928,093,288,621,
682,037,272,522,325,337,126,082,263,172,957,960,928,309,624,990,659,443,211,
574,442,018,173,654,128,764,400,017,952,703,565,400,918,649,134,393,105,853,
322,131,245,320,881,676,026,142,656,920,589,797,900,632,429,466,874,370,832,
191,244,413,487,021,143,936,283,039,277,381,443,742,809,613,276,559,794,069,
491,642,445,147,003,421,365,276,531,961,488,314,698,247,178,435,813,508,252,
503,159,626,895,064,717,130,524,459,041,348,285,787,920,777,711,371,114,058,
223,474,259,423,242,996,174,265,280,188,396,777,467,928,771,461,082,175,506,
783,610,979,129,415,408,498,857,558,793,960,090,221,534,281,634,941,875,201,
794,460,254,448,462,313,855,100,906,348,156,985,949,449,016,621,531,810,270,
392,663,306,087,221,660,954,165,860,598,525,827,520,632,678,951,345,158,618,
392,565,618,733,153,499,249,299,655,471,516,142,149,782,984,246,735,748,450,
309,308,354,142,098,128,293,563,934,480,322,066,257,259,710,541,667,287,901,
435,196,844,728,224,280,463,071,338,202,256,198,041,455,811,487,958,476,021,
101,579,167,346,618,042,084,701,198,570,618,655,426,388,306,787,432,309,774,
152,077,918,404,040,877,657,608,124,907,605,327,986,386,847,743,789,362,215,
028,529,355,675,303,058,679,116,687,245,873,087,827,027,917,804,612,651,750,
869,223,900,751,754,994,376,372,874,269,558,354,932,975,921,749,529,531,894,
840,210,158,547,747,054,937,092,478,264,805,281,457,561,418,612,470,822,638,
149,868,347,560,880,803,376,773,292,126,182,544,604,381,917,065,576,656,068,
428,612,935,916,584,065,573,019,304,257,692,080,190,413,639,747,662,228,964,
045,593,560,606,879,645,103,052,143,570,947,420,759,341,643,649,630,053,286,
706,496,258,380,934,811,023,367,717,093,083,670,502,387,258,415,916,014,962,
360,849,228,024,694,179,981,285,558,664,135,401,934,282,650,901,090,664,862,
780,512,013,090,565,122,616,344,743,464,586,952,267,159,327,105,204,244,899,
520,373,470,493,695,650,440,071,065,056,234,165,886,256,398,901,643,563,181,
309,545,246,168,846,611,010,263,968,973,199,956,658,554,435,325,076,199,707,
892,037,980,974,789,780,738,675,674,114,145,596,973,725,901,469,880,204,585,
319,564,136,394,497,921,463,169,930,619,701,016,775,058,660,803,534,080,197,
869,332,180,511,224,210,433,968,041,993,756,844,889,862,815,231,926,996,084,
331,332,710,151,522,248,356,874,619,823,661,788,563,042,298,621,739,140,679,
454,679,908,034,959,361,797,434,448,987,800,099,467,446,962,744,173,657,472,
825,761,205,711,529,387,757,536,225,529,881,352,169,913,170,714,532,099,748,
833,414,566,920,383,997,579,286,982,228,450,008,572,189,495,730,801,328,220,
497,121,937,489,110,559,408,773,848,512,450,359,975,097,620,387,100,804,847,
231,466,409,952,542,074,001,355,069,460,771,392,856,051,477,885,954,547,539,
663,637,028,608,653,155,629,276,317,221,891,156,718,968,593,575,126,618,102,
194,936,412,964,471,229,771,976,450,051,705,465,074,668,916,179,945,674,895,
501,438,937,444,751,231,574,385,802,151,399,923,105,708,683,749,971,156,491,
991,460,895,246,040,297,862,862,533,535,973,125,613,599,967,940,319,423,544,
443,436,106,762,511,481,624,175,444,093,059,628,505,808,312,990,126,152,001,
206,066,602,671,834,938,592,706,621,059,629,362,740,339,022,612,588,478,901,
822,647,792,305,615,001,471,881,415,402,117,637,198,677,575,155,719,092,589,
567,487,312,164,144,998,291,212,440,563,383,350,158,084,753,292,062,426,654,
203,480,362,871,280,907,547,060,376,432,059,744,868,832,869,651,722,729,963,
157,417,343,888,017,192,806,681,739,836,885,826,625,893,558,321,873,197,197,
208,020,322,056,816,352,972,779,455,761,187,301,782,404,846,593,915,680,129,
721,778,065,728,477,648,481,209,730,229,944,448,695,618,682,692,820,256,208,
356,797,853,855,330,272,520,716,757,194,638,498,504,469,954,427,177,051,820,
907,353,573,132,015,807,664,264,566,630,380,378,918,809,854,268,625,422,058,
296,183,790,697,579,094,428,602,105,436,639,192,779,106,986,652,524,930,553,
931,705,025,435,596,708,107,289,808,579,666,939,104,519,817,486,376,927,185,
431,281,275,668,216,921,187,158,714,957,254,111,246,162,287,616,680,507,430,
770,758,338,280,703,320,831,013,037,651,196,851,254,899,352,741,716,813,722,
322,394,560,860,277,579,491,093,146,364,395,423,149,466,609,841,922,887,209,
746,013,551,387,273,892,163,069,880,717,214,711,896,439,929,027,081,208,481,
083,343,268,273,666,347,362,388,483,055,255,275,157,233,976,378,280,449,271,
542,742,287,339,883,518,333,175,873,975,040,563,570,938,982,004,267,473,784,
506,230,591,679,082,128,146,215,872,741,591,748,511,917,174,444,360,700,545,
515,613,187,892,268,357,932,683,028,235,444,443,095,112,533,222,138,843,622,
578,588,997,127,257,796,879,734,266,729,138,385,584,350,916,760,563,594,243,
328,604,406,587,038,090,483,981,885,571,974,628,008,694,382,285,122,303,243,
044,262,453,616,460,141,840,612,201,279,236,531,685,950,402,389,940,588,998,
459,078,288,977,048,436,266,808,806,544,581,927,186,173,110,781,119,443,342,
185,089,650,979,080,037,325,255,367,089,442,371,731,512,116,702,559,426,843,
000,054,806,068,094,871,142,310,805,579,024,297,444,323,137,570,133,888,226,
570,536,493,088,419,428,877,607,677,302,428,421,081,452,550,867,770,976,802,
688,296,146,044,815,015,891,041,384,105,983,207,043,796,616,697,776,614,423,
712,955,834,794,502,836,730,042,479,773,899,166,345,264,648,918,700,012,111,
070,285,753,980,753,520,093,681,022,303,539,475,118,601,038,696,826,524,089,
357,649,361,081,234,640,499,293,866,756,922,841,379,421,379,046,219,065,479,
424,679,057,129,846,804,506,837,127,543,837,936,036,971,267,509,038,370,878,
409,120,890,042,368,220,343,561,590,743,936,097,640,430,606,386,749,039,894,
441,213,283,025,226,193,806,211,625,051,049,659,812,648,699,611,431,528,819,
033,179,695,100,203,899,532,731,637,248,660,928,488,085,991,358,500,051,825,
669,774,461,604,921,110,993,681,228,622,389,621,720,488,885,388,460,532,657,
446,626,470,712,108,916,963,923,483,786,655,960,202,399,594,352,698,770,490,
775,001,346,868,782,909,188,629,832,427,666,025,734,514,723,725,899,259,259,
263,723,525,152,841,249,957,111,826,800,440,387,146,816,432,516,304,881,227,
366,400,781,655,990,172,472,815,944,006,505,453,944,668,690,359,463,288,481,
619,052,587,917,507,051,371,059,586,622,232,584,779,473,345,508,744,267,606,
113,316,191,808,570,893,830,644,303,097,003,338,261,183,840,434,007,521,746,
565,845,666,318,658,008,452,750,665,162,194,823,639,512,592,050,983,666,668,
971,363,358,459,299,834,477,312,567,565,220,629,930,316,877,278,753,240,205,
770,212,514,032,107,760,238,980,637,951,992,509,071,575,534,388,678,232,231,
879,198,176,959,586,149,617,382,327,676,546,317,764,001,330,546,505,427,807,
280,296,051,963,424,853,848,262,344,147,524,982,487,425,001,577,464,476,067,
252,151,414,790,211,630,372,711,545,460,173,968,640,748,121,410,104,658,598,
554,867,274,703,270,058,545,585,262,393,830,779,152,914,129,035,597,423,325,
570,872,323,263,730,865,550,236,335,292,559,512,726,055,741,256,018,577,217,
608,206,676,064,517,717,853,954,408,023,060,745,762,733,596,824,271,791,101,
442,321,505,675,581,204,171,147,881,334,661,397,610,671,274,964,064,552,080,
673,105,571,285,286,485,882,388,163,396,749,970,617,114,941,490,970,133,901,
386,420,366,081,385,380,044,540,767,913,272,897,973,303,769,875,923,136,440,
750,860,773,512,888,471,658,730,017,675,149,931,069,559,211,747,026,740,092,
446,390,073,799,676,928,789,090,350,092,116,550,006,917,196,311,714,029,714,
027,296,957,268,787,155,009,223,171,871,435,350,636,447,808,032,487,744,927,
274,719,775,765,825,991,606,367,491,932,497,132,272,291,489,591,743,294,532,
784,481,734,091,062,169,340,283,146,593,234,675,040,060,827,089,686,374,752,
013,598,636,995,815,114,493,628,644,621,268,535,665,805,804,791,102,425,348,
206,450,484,248,857,941,530,514,754,833,720,008,158,423,083,580,151,736,483,
815,128,249,986,439,243,743,344,126,505,959,802,600,321,481,981,056,888,303,
164,386,201,465,761,376,578,107,281,273,831,455,708,686,408,457,837,605,394,
652,117,037,122,382,808,838,944,848,406,614,399,412,963,892,032,307,645,526,
908,478,825,326,275,393,500,859,426,945,570,969,727,335,168,647,551,087,482,
350,102,699,556,650,914,286,917,242,724,794,705,023,927,863,035,152,931,818,
632,903,840,721,772,390,461,837,433,352,405,320,549,428,371,063,516,067,047,
427,249,460,737,911,844,613,008,514,809,108,295,196,537,332,387,470,337,632,
672,968,481,218,709,639,368,355,351,638,649,732,205,655,679,372,383,981,933,
384,504,464,597,606,626,442,174,599,208,389,216,450,721,766,187,167,970,718,
709,666,361,447,110,192,119,718,733,318,959,345,849,754,234,225,311,980,688,
021,189,607,963,764,300,590,873,957,973,409,576,577,013,406,473,597,967,081,
638,031,349,632,647,817,318,092,581,793,323,994,343,545,446,039,508,163,547,
130,677,766,365,913,934,464,702,038,723,324,063,093,866,869,261,738,883,506,
315,782,269,799,552,804,078,413,955,089,092,505,897,938,119,664,562,583,990,
915,059,224,705,166,856,131,966,829,053,521,776,290,329,581,836,729,434,797,
493,401,001,140,463,001,569,211,879,396,845,556,367,330,029,549,589,968,963,
065,646,454,118,452,795,430,255,853,307,796,419,340,580,367,260,726,435,164,
261,736,029,719,396,404,850,067,034,649,112,988,048,828,831,658,957,365,647,
781,213,561,108,213,275,971,238,538,314,040,703,026,079,640,191,004,108,366,
745,129,662,936,576,565,496,547,849,344,332,647,395,088,373,047,600,189,958,
353,412,629,247,717,479,135,639,590,142,904,589,134,057,340,946,972,998,532,
580,284,391,337,407,231,819,912,407,034,887,752,297,559,723,193,470,752,487,
457,298,305,234,240,111,589,254,999,385,597,778,175,231,123,759,730,723,149,
003,509,679,414,049,299,202,837,370,288,993,852,794,751,369,931,113,662,577,
624,730,438,098,449,141,402,748,928,600,251,356,299,251,708,462,733,087,811,
620,707,719,938,196,223,381,181,961,318,419,977,084,944,597,481,021,141,358,
398,935,088,040,740,172,736,841,043,321,272,337,553,708,819,514,628,103,836,
366,337,762,946,486,217,761,505,934,585,246,978,972,517,548,811,700,063,820,
415,109,809,714,289,944,514,938,627,468,460,612,805,883,156,799,863,349,113,
057,728,134,891,431,234,886,344,492,911,309,843,818,547,327,779,678,714,018,
111,884,093,504,194,528,768,944,717,927,287,078,127,890,630,362,921,287,706,
193,427,280,382,521,974,636,222,597,506,942,260,369,360,169,938,894,189,845,
707,672,043,315,689,209,247,712,957,474,770,552,688,397,191,710,247,092,981,
148,399,559,859,639,720,056,834,798,051,368,736,218,452,757,994,246,746,193,
026,438,383,206,758,545,087,424,087,101,948,662,404,731,937,109,055,870,600,
634,250,265,246,414,976,012,685,373,922,272,221,744,473,175,627,654,422,617,
632,006,282,958,545,249,870,400,676,280,974,435,446,073,952,921,231,557,030,
685,565,414,163,732,721,187,035,152,714,131,979,999,041,296,091,917,364,170,
948,530,637,137,029,682,492,158,409,372,115,393,068,589,394,430,315,879,402,
908,611,889,475,513,875,592,331,706,916,128,906,332,851,242,645,113,322,669,
561,456,630,574,893,906,505,958,961,438,781,265,204,391,360,051,950,200,500,
931,441,602,478,094,415,187,822,723,427,342,434,174,129,886,324,724,054,972,
327,571,249,905,558,572,947,589,864,107,389,986,071,771,249,671,351,222,555,
673,844,255,510,424,569,343,679,874,674,352,983,788,403,147,473,854,009,553,
490,634,181,357,909,868,115,878,408,084,978,257,671,322,419,603,273,450,084,
257,372,478,855,399,096,179,226,987,694,976,077,333,050,559,059,689,579,016,
040,602,580,496,180,726,601,484,323,255,338,187,717,487,800,288,719,854,156,
521,185,410,008,402,980,281,635,694,925,515,698,057,887,572,221,351,786,095,
646,083,289,053,590,619,103,152,571,878,208,306,933,364,506,314,753,538,100,
143,084,287,689,402,882,900,255,641,945,085,800,030,721,615,032,752,469,872,
692,528,497,897,618,197,793,999,595,516,861,442,360,223,757,778,327,340,451,
591,950,384,700,341,113,306,411,337,928,778,286,228,909,941,624,437,894,487,
328,862,052,971,376,378,662,187,290,193,672,623,615,235,995,423,202,650,692,
834,274,623,243,910,999,110,229,339,094,427,563,382,429,608,243,824,379,731,
122,364,399,338,692,598,827,816,595,521,717,399,635,586,240,416,484,010,993,
618,720,294,007,663,663,613,253,268,037,904,030,789,104,850,698,094,683,348,
275,590,476,631,509,370,168,286,844,176,434,563,970,635,859,261,571,272,954,
478,309,588,920,447,535,583,797,831,539,483,945,224,337,311,986,338,570,833,
381,710,583,017,974,595,698,938,476,519,186,063,771,764,010,297,605,577,330,
993,310,397,983,290,658,603,018,529,617,397,566,977,206,024,269,595,671,778,
989,252,370,868,836,230,005,731,374,997,638,044,789,434,201,551,570,720,872,
881,247,790,670,949,043,264,978,007,023,907,163,666,406,476,585,299,252,876,
713,844,887,002,809,124,491,913,634,748,115,023,883,459,509,884,010,235,848,
141,351,983,899,385,351,827,892,747,654,094,650,982,809,375,785,735,894,866,
807,570,980,237,183,725,284,256,964,616,283,629,433,397,964,965,665,916,827,
516,445,861,213,674,653,546,342,111,557,176,992,322,552,424,849,996,202,909,
822,915,160,987,088,379,658,325,148,577,444,315,196,550,333,631,532,867,819,
533,340,770,224,423,281,049,560,244,836,414,171,467,197,793,946,848,812,393,
570,536,290,980,730,095,026,860,301,240,741,885,218,115,362,382,431,790,002,
589,148,898,481,021,627,527,262,672,829,100,324,812,960,254,023,438,678,369,
832,351,424,535,415,450,669,491,959,578,213,663,585,374,110,128,400,797,980,
001,751,978,711,398,873,051,466,974,647,670,375,292,050,012,376,660,003,376,
292,721,789,780,474,003,002,694,029,016,991,818,512,365,888,920,074,633,018,
986,805,232,448,252,732,380,524,529,754,385,303,253,330,000,437,294,704,872,
322,823,913,493,451,956,177,992,514,154,440,046,398,701,169,034,480,587,904,
416,518,933,411,359,076,725,321,532,034,577,170,608,873,432,874,016,195,307,
585,301,091,185,505,151,869,892,442,593,203,549,565,475,994,617,534,763,522,
360,578,392,255,474,346,467,326,113,296,381,302,842,425,320,278,173,509,671,
009,699,320,855,305,188,188,161,267,400,453,455,557,957,649,519,455,448,453,
909,721,887,225,426,931,371,636,859,088,508,522,344,066,126,765,328,708,042,
828,629,598,229,414,172,352,126,955,136,350,341,826,991,786,585,917,112,516,
891,074,522,854,787,620,406,206,215,451,707,056,161,598,119,865,320,778,377,
961,489,915,257,330,343,029,496,571,971,709,873,379,838,231,375,258,310,186,
831,846,052,596,303,480,682,580,759,676,027,173,861,267,887,539,412,839,684,
411,220,103,180,210,567,558,058,727,012,657,207,864,266,618,826,655,275,598,
832,385,786,430,549,584,572,899,491,743,679,891,408,093,418,118,265,384,999,
828,013,298,533,219,091,297,056,522,060,991,373,989,010,653,374,733,835,222,
780,823,206,270,459,213,846,992,404,898,174,752,298,610,718,222,411,280,601,
860,942,497,180,244,438,852,250,063,063,365,835,991,096,275,492,188,239,574,
641,023,682,656,283,586,217,238,339,167,925,473,096,922,945,608,516,048,599,
062,023,040,534,382,726,961,361,494,433,231,080,830,559,886,847,697,201,895,
812,445,180,007,185,391,892,914,611,363,039,881,880,234,268,195,301,976,435,
333,362,170,051,006,151,287,581,563,585,697,132,475,868,863,130,077,004,713,
745,825,499,972,402,956,452,890,175,141,784,132,272,481,613,581,612,486,754,
911,595,236,155,578,439,316,357,020,615,572,224,451,714,454,674,947,087,856,
261,814,933,625,815,934,695,149,495,597,131,158,384,427,926,444,048,082,595,
076,563,288,341,030,723,297,495,382,939,008,236,328,385,210,760,130,946,009,
901,594,566,267,182,558,021,489,477,429,790,442,755,322,869,813,992,185,169,
645,237,935,186,662,910,040,842,294,819,770,286,787,107,797,578,255,289,175,
591,583,994,424,333,590,021,053,167,362,351,716,349,832,095,530,162,354,685,
731,499,670,250,686,425,367,625,249,231,597,719,385,090,761,635,289,151,686,
995,906,800,714,902,468,977,207,052,200,936,105,567,014,798,373,830,721,207,
410,857,765,982,949,144,518,055,625,692,032,029,729,522,965,782,251,758,800,
228,871,547,673,861,579,629,832,503,240,575,614,561,948,578,632,697,350,062,
972,277,139,394,205,742,949,677,867,175,038,381,209,605,799,763,401,481,201,
143,787,435,031,484,535,202,922,418,644,845,000,713,909,598,329,447,570,371,
202,956,516,779,075,415,718,978,420,874,697,540,893,105,003,561,496,442,863,
177,427,384,900,597,091,545,545,936,700,148,567,810,917,667,353,951,571,381,
662,804,773,688,664,403,289,977,132,216,631,293,701,227,152,437,471,473,316,
016,870,976,901,516,297,592,106,404,331,807,489,046,255,956,731,894,222,242,
748,325,945,461,000,693,033,473,106,230,053,019,222,047,234,506,168,008,000,
575,984,906,463,117,796,308,917,465,390,605,167,444,444,358,467,734,130,428,
161,094,160,766,987,720,637,263,727,957,092,166,560,021,321,832,841,764,404,
837,565,700,473,269,537,055,959,817,726,782,911,114,029,506,824,665,153,620,
192,002,357,781,789,056,921,383,548,820,115,534,549,163,436,567,113,437,593,
827,716,734,896,480,860,888,714,134,018,905,459,186,433,835,617,717,899,877,
111,659,157,320,141,616,019,931,048,862,917,966,175,518,520,867,020,681,967,
489,945,150,058,142,822,032,815,432,858,685,240,802,556,766,684,630,486,747,
190,348,445,932,886,024,910,062,548,061,459,327,766,832,581,729,231,686,096,
360,250,595,473,350,361,962,387,891,954,046,297,392,765,151,707,791,182,088,
976,211,749,391,808,361,406,773,393,582,419,915,345,158,364,499,283,108,326,
051,898,617,569,411,217,266,135,461,371,339,324,410,402,632,120,248,911,873,
866,964,056,686,213,118,849,966,714,144,700,894,923,558,878,599,510,690,284,
632,468,188,067,867,188,360,967,558,049,181,182,308,360,819,414,874,904,593,
259,272,949,975,766,497,806,812,237,653,287,648,518,848,519,765,498,373,184,
462,002,790,343,020,859,467,898,511,083,808,457,935,606,479,211,433,917,107,
309,978,601,234,874,249,164,381,586,995,818,817,369,570,545,444,125,319,833,
408,161,955,127,741,138,930,077,670,931,213,072,804,117,783,156,434,353,146,
504,061,384,260,387,248,413,101,309,716,596,877,715,241,771,114,881,398,922,
312,617,435,908,541,158,894,075,643,438,785,689,645,084,466,569,363,124,269,
715,014,334,228,204,710,106,879,463,151,051,655,402,794,692,546,217,186,300,
886,946,940,356,523,529,520,147,593,059,227,884,113,593,602,625,750,675,476,
313,753,864,426,411,784,083,910,899,252,931,744,330,665,336,202,735,282,492,
813,272,684,146,838,489,206,183,313,486,826,514,793,170,735,424,251,997,192,
421,560,568,770,734,635,695,177,116,074,387,267,152,723,832,842,903,038,239,
705,710,703,137,204,093,449,922,785,893,537,294,601,149,436,754,991,156,321,
003,302,310,986,706,793,534,448,853,371,922,774,484,475,710,012,184,282,692,
316,755,935,247,569,131,803,672,315,357,584,407,943,079,550,254,734,257,119,
200,315,777,540,686,564,237,269,986,107,465,871,275,056,847,280,796,315,214,
313,580,158,294,907,669,903,380,586,078,366,468,192,130,438,596,929,282,447,
043,675,491,775,689,269,308,723,044,063,264,501,346,944,286,569,034,843,370,
481,152,976,420,299,614,352,937,615,363,407,372,536,607,140,789,765,325,060,
177,152,139,117,069,620,541,406,002,391,030,282,364,772,274,998,137,696,275,
095,996,757,942,528,834,868,955,952,818,155,879,205,503,812,447,364,929,391,
040,954,121,685,614,869,890,194,543,439,590,425,610,950,917,147,204,447,540,
181,373,572,816,518,746,566,641,294,354,636,756,835,731,423,550,897,739,283,
047,259,919,634,681,370,750,183,344,387,704,013,362,474,628,001,950,884,295,
995,823,790,215,646,747,116,137,840,998,961,677,792,165,880,772,843,923,278,
951,671,826,677,203,537,013,431,451,177,832,750,275,944,238,776,823,130,352,
928,308,295,395,776,339,448,361,225,209,801,161,742,841,887,274,774,990,011,
287,198,382,810,916,776,560,066,812,924,587,154,614,800,684,900,195,661,686,
376,868,099,953,357,923,132,940,486,854,579,224,335,425,292,204,010,852,972,
599,997,234,914,498,025,338,209,712,521,992,060,386,783,983,082,869,758,230,
388,268,088,863,905,112,957,410,228,726,886,773,504,435,751,202,032,429,568,
365,662,787,249,247,747,333,995,741,835,834,124,993,156,068,835,970,156,291,
129,036,643,365,009,554,980,273,359,972,487,912,076,813,614,090,581,091,407,
192,849,677,763,925,444,138,724,998,841,834,983,005,912,719,013,545,785,589,
275,900,840,604,296,966,904,824,788,092,495,713,857,563,958,481,286,058,974,
762,735,154,795,251,407,154,989,860,855,590,131,493,329,619,347,886,182,154,
066,833,238,834,181,286,338,925,592,388,034,544,902,934,071,531,127,702,024,
600,879,711,742,421,386,715,957,120,990,066,460,150,716,855,300,750,371,847,
075,007,025,124,097,246,107,341,861,244,937,070,785,290,308,310,143,207,380,
021,907,496,123,884,908,467,842,492,041,297,128,355,327,595,436,425,518,066,
256,332,159,530,172,883,264,602,118,037,568,617,799,080,162,003,349,984,445,
053,093,999,925,780,791,216,261,852,514,042,741,235,345,164,870,346,934,055,
424,658,056,999,893,376,457,241,070,105,259,281,144,535,205,764,019,118,397,
181,853,254,800,411,514,970,654,914,959,892,823,274,747,372,177,804,265,140,
220,858,776,625,487,912,700,052,981,993,814,407,809,600,700,442,569,243,357,
847,490,933,161,292,194,129,501,860,039,978,819,990,169,525,204,831,424,885,
877,269,420,666,093,040,004,486,261,465,277,527,387,962,853,005,756,714,639,
078,109,677,142,780,872,858,953,647,329,044,732,767,040,847,118,400,409,994,
496,423,743,007,750,688,539,546,865,992,970,314,657,312,802,551,180,448,805,
881,479,327,422,562,520,705,301,791,588,383,317,947,436,232,474,477,667,254,
530,852,359,002,098,572,083,570,823,033,988,341,322,804,683,215,185,167,816,
790,645,535,399,262,663,817,728,606,671,401,238,441,881,547,662,514,105,263,
337,688,243,340,599,305,259,800,559,503,561,936,545,963,590,832,695,897,563,
989,478,370,888,476,221,731,087,768,928,347,502,697,920,733,717,542,121,091,
004,442,304,398,705,091,479,184,240,930,107,109,073,680,937,341,353,816,087,
370,474,455,173,592,804,121,820,468,922,546,820,747,668,853,418,860,346,431,
270,777,995,750,176,659,095,729,181,368,686,672,181,255,987,986,713,561,492,
100,076,451,891,716,696,785,297,723,595,142,325,927,953,170,178,863,012,044,
264,681,136,473,047,753,432,721,821,642,684,521,398,348,530,640,144,826,236,
565,794,324,992,761,006,840,855,990,141,563,362,093,441,434,414,442,581,488,
239,821,134,108,907,363,246,298,121,534,707,490,017,901,348,232,504,926,061,
297,398,613,330,963,256,489,324,687,408,286,039,928,494,125,377,252,016,564,
046,067,474,223,748,054,491,601,244,266,282,432,126,435,592,113,062,217,247,
003,165,120,043,631,580,770,764,824,846,865,396,630,493,920,696,031,789,423,
376,124,702,437,648,717,716,027,329,250,148,450,341,956,092,032,976,398,234,
971,860,629,664,304,604,549,705,937,046,424,117,803,850,676,074,800,818,038,
216,513,059,913,157,688,218,878,040,594,169,367,891,558,971,435,921,878,912,
051,769,502,885,772,057,273,616,324,006,194,394,801,188,659,773,304,967,918,
196,830,340,320,231,070,513,242,602,920,350,269,585,736,476,079,220,084,438,
667,105,771,548,143,354,944,732,499,085,358,884,700,520,064,331,960,946,711,
452,469,732,062,673,235,794,985,389,082,094,027,507,087,597,731,566,293,626,
307,952,525,217,404,811,332,614,480,197,924,003,892,678,878,379,566,421,354,
433,460,283,469,738,228,392,876,188,489,574,831,302,133,123,037,605,857,988,
434,766,497,455,617,611,900,449,237,862,428,221,042,030,498,860,694,643,308,
420,387,036,030,038,083,918,512,611,859,611,223,263,928,485,524,686,285,950,
996,567,697,530,636,889,568,725,855,232,597,421,265,777,940,004,991,407,016,
621,912,870,070,543,935,136,732,482,680,902,532,341,943,930,554,549,238,794,
395,028,060,427,793,271,046,174,847,754,487,960,997,046,266,294,783,305,523,
217,689,676,786,622,359,921,182,330,212,370,211,141,303,224,465,860,650,246,
249,587,898,926,357,900,699,411,672,946,162,116,864,512,332,091,876,486,349,
921,181,404,329,660,424,789,938,023,355,668,732,145,095,079,197,033,142,871,
360,075,400,194,636,554,229,435,614,859,735,579,418,539,517,111,894,562,148,
504,738,064,697,179,678,975,922,490,343,599,499,372,068,781,165,651,399,898,
357,915,469,266,552,809,386,346,936,172,352,278,852,891,793,954,424,338,388,
232,425,580,595,830,955,113,369,262,881,135,449,690,241,683,387,339,213,666,
320,046,442,498,540,958,864,059,658,952,238,610,575,574,641,913,522,095,917,
833,542,950,559,513,407,577,844,664,930,912,477,545,411,169,649,333,550,087,
144,443,478,104,639,439,019,897,946,511,623,748,701,220,972,229,671,255,773,
905,125,255,616,000,946,488,791,534,343,616,928,134,779,919,346,944,940,745,
275,550,447,443,850,846,655,272,445,770,045,293,557,783,892,075,343,378,634,
216,427,528,424,484,205,421,156,146,325,424,084,340,681,242,075,880,152,446,
990,424,222,391,375,241,718,282,002,905,370,720,067,150,992,467,752,219,849,
423,927,318,928,580,539,112,004,346,713,674,213,941,952,789,930,052,913,668,
912,262,917,305,554,172,199,433,306,978,412,754,247,380,095,844,764,141,085,
880,843,327,213,402,558,055,897,069,036,009,363,304,087,906,526,043,680,736,
939,567,803,364,089,661,263,896,782,647,581,991,928,873,093,818,134,416,926,
299,127,880,612,854,890,331,845,713,069,128,193,755,928,888,732,058,735,391,
209,294,284,337,144,013,082,258,185,429,555,668,987,304,635,705,965,008,159,
791,646,326,388,788,055,728,515,554,815,850,230,482,648,167,843,009,163,173,
672,626,480,056,803,446,091,713,489,680,174,124,962,588,052,881,128,711,712,
854,146,636,544,056,879,508,763,384,037,203,010,025,107,498,367,136,231,491,
207,878,994,419,777,058,054,348,075,279,348,994,811,151,521,971,931,374,542,
695,767,549,535,255,345,858,635,692,954,490,719,658,877,880,092,249,545,531,
083,398,694,732,486,756,456,017,634,532,963,625,867,384,371,782,962,373,150,
410,125,879,001,327,809,404,373,847,606,491,113,227,807,593,501,104,857,347,
730,643,069,167,949,504,327,161,307,147,354,436,174,434,739,552,841,719,804,
366,506,816,886,565,665,490,978,343,694,154,433,396,993,833,826,448,248,995,
379,217,998,396,114,943,058,588,867,838,468,625,546,785,267,179,267,503,845,
305,952,577,699,110,671,204,424,172,097,792,237,116,000,919,771,768,184,286,
304,441,910,086,848,510,967,687,631,897,593,185,156,742,710,075,709,808,343,
567,487,509,262,749,407,669,139,148,217,124,855,209,399,666,578,671,395,425,
797,056,012,882,553,372,407,837,983,237,731,357,379,408,941,521,696,109,198,
347,703,282,171,899,098,229,542,372,897,477,740,856,674,885,884,177,206,189,
863,533,796,074,247,012,240,286,876,669,828,030,621,283,880,870,819,600,602,
542,645,171,920,170,896,856,117,986,477,505,675,146,265,390,078,344,759,961,
534,003,562,383,901,933,098,073,861,907,296,377,982,045,617,749,807,754,061,
731,333,566,042,772,088,902,635,498,790,718,014,696,766,532,907,434,215,071,
747,282,352,555,103,208,570,293,988,937,601,006,422,880,924,899,931,967,719,
404,407,392,249,484,666,123,299,941,766,700,219,683,615,102,003,489,558,930,
156,183,650,123,942,517,820,246,976,808,437,735,830,462,188,548,781,627,334,
560,158,424,188,385,277,935,044,297,354,768,022,277,831,160,035,852,032,302,
741,609,266,110,906,095,594,068,280,223,241,024,611,809,876,449,270,428,577,
500,160,112,254,618,181,734,570,311,489,244,783,308,417,720,954,937,108,619,
649,286,614,513,820,280,224,489,914,012,011,645,397,764,099,128,631,723,969,
343,590,967,093,562,555,998,381,672,057,462,543,748,817,310,335,774,730,975,
304,937,091,272,915,893,368,998,698,974,392,597,012,480,910,452,552,125,882,
777,444,753,604,371,566,382,490,704,783,660,697,960,607,022,528,204,511,687,
051,077,272,412,686,526,637,136,345,069,311,647,226,471,809,834,774,946,692,
967,232,885,376,458,165,365,454,711,851,964,471,576,351,870,278,994,204,435,
965,314,734,807,599,180,831,648,996,448,875,470,730,796,304,457,400,917,335,
068,512,003,467,678,185,407,606,996,934,183,298,094,489,470,006,126,219,050,
742,762,359,147,343,791,737,143,095,966,963,004,821,509,350,655,045,210,047,
961,864,727,074,051,741,974,146,954,710,275,915,368,754,565,170,096,466,137,
017,136,000,476,760,972,267,208,494,736,608,313,342,677,716,723,903,447,423,
357,878,309,124,884,704,792,214,655,400,138,374,727,441,780,302,352,579,725,
563,381,708,616,455,975,222,461,249,637,252,820,910,809,296,477,985,540,863,
912,717,061,350,089,703,229,907,116,274,853,246,103,314,833,450,084,716,202,
977,568,453,110,368,578,193,634,301,072,930,311,391,414,037,373,632,240,403,
398,308,413,104,708,483,253,866,953,893,192,267,498,038,927,100,397,505,292,
868,911,628,993,177,062,618,010,224,440,775,465,003,927,787,465,033,576,841,
893,161,659,591,693,315,267,397,359,797,127,422,707,331,628,736,826,061,338,
263,012,935,360,306,279,404,433,963,449,677,115,492,654,152,978,189,561,484,
974,281,630,756,796,362,814,042,160,048,092,674,356,807,646,840,520,099,110,
628,805,646,692,418,104,161,452,086,334,373,952,979,430,174,812,396,694,351,
130,678,502,923,477,525,302,611,156,950,477,653,911,363,634,720,124,192,657,
232,320,171,680,402,356,217,025,134,958,625,430,899,402,760,719,814,988,381,
917,409,404,244,635,441,767,199,318,735,805,967,289,293,091,610,391,276,887,
747,887,229,484,029,385,041,047,864,990,378,987,374,939,868,295,522,772,471,
536,704,240,198,881,307,226,752,251,283,911,722,950,195,611,590,126,719,226,
904,100,183,979,207,565,182,465,655,699,288,883,965,729,235,822,940,115,765,
889,159,048,740,370,241,596,037,428,618,246,215,860,732,099,702,197,637,109,
331,252,445,986,631,055,749,025,932,525,392,809,241,594,878,983,329,709,466,
643,225,449,252,979,116,516,961,202,907,174,983,373,796,048,209,271,402,006,
778,163,342,423,603,137,526,515,683,092,996,129,635,793,000,645,142,889,987,
152,519,933,334,830,343,193,745,197,462,669,034,094,595,915,568,893,156,258,
622,361,015,964,550,807,104,680,868,654,986,033,129,495,952,248,891,783,747,
498,501,867,500,768,891,680,125,090,943,542,175,225,915,297,907,121,255,574,
714,228,206,278,827,578,589,191,973,303,068,318,622,076,923,284,925,934,642,
273,930,163,704,961,154,669,753,106,450,662,216,938,582,179,106,531,586,119,
061,987,606,723,364,267,835,888,796,272,256,983,743,478,370,429,720,610,496,
334,118,452,942,760,066,543,681,731,721,669,694,173,866,522,337,394,486,067,
868,704,345,272,860,476,475,152,620,842,911,849,650,590,745,469,257,187,220,
668,638,383,557,488,462,972,690,588,676,485,762,685,293,252,581,595,564,870,
214,945,913,023,351,454,354,481,840,741,138,119,581,833,730,803,401,624,254,
809,783,982,206,068,727,292,002,038,444,750,414,058,480,049,797,219,319,230,
363,975,216,135,602,030,678,721,488,785,395,351,034,877,934,147,220,229,780,
800,616,565,344,494,950,131,891,183,672,106,176,645,626,224,941,798,992,405,
103,300,016,639,547,860,827,005,269,318,087,370,451,585,827,161,736,167,362,
831,075,188,303,395,825,883,064,675,044,253,335,332,790,614,605,937,453,403,
431,563,769,921,323,212,992,414,788,812,396,878,076,617,213,209,878,100,719,
054,327,259,905,981,149,757,012,832,297,496,363,428,930,343,417,020,562,160,
589,892,744,442,243,422,819,793,743,493,707,351,120,001,566,684,245,511,685,
935,630,765,677,877,463,196,210,624,967,002,767,321,066,415,295,490,634,459,
104,672,772,620,762,862,348,257,081,923,508,201,013,512,433,153,795,213,816,
180,810,095,070,701,977,601,506,408,023,758,959,824,774,566,742,182,622,882,
078,381,991,958,045,033,896,667,620,736,551,140,907,241,049,948,933,488,799,
408,811,411,715,979,085,218,467,919,791,164,779,469,179,147,734,499,178,422,
584,097,214,103,934,804,060,724,790,320,629,064,108,377,472,118,785,385,599,
550,844,700,932,017,073,491,853,206,064,416,159,874,867,847,242,369,498,377,
984,799,021,954,071,718,051,650,796,182,543,389,902,373,704,830,741,716,975,
938,204,353,547,876,942,412,790,122,954,218,873,728,685,577,612,550,143,438,
083,291,050,683,481,681,403,625,480,377,057,418,219,978,248,965,829,530,286,
913,561,460,107,350,897,889,412,225,952,640,230,957,696,283,411,683,941,840,
140,225,039,953,540,711,420,362,451,101,987,146,947,098,102,545,916,665,844,
880,893,975,520,546,855,373,492,123,857,458,201,270,172,439,716,328,344,522,
016,862,804,308,526,554,769,907,121,601,850,870,650,102,009,642,904,307,442,
179,420,527,959,452,169,106,760,796,201,949,076,168,325,769,834,613,768,343,
774,241,923,375,358,925,415,306,836,365,336,056,196,202,987,206,957,253,616,
739,253,165,419,312,239,918,998,220,571,605,432,197,913,093,312,753,942,553,
417,263,604,176,568,633,957,304,970,811,322,669,239,183,899,877,788,762,378,
056,085,102,611,901,392,072,383,652,679,158,344,611,947,290,743,707,230,874,
621,756,866,104,940,809,184,180,964,874,414,288,449,868,131,314,850,450,800,
338,983,550,235,725,646,881,931,977,092,246,367,743,718,905,730,940,831,124,
512,106,950,265,177,428,689,430,907,468,254,973,236,848,787,294,770,101,899,
370,906,748,038,375,328,881,162,790,627,504,443,712,775,503,261,589,964,843,
295,232,488,774,063,658,516,755,154,529,532,261,195,603,888,210,201,925,470,
860,277,934,296,457,767,187,372,327,444,114,411,913,652,167,431,207,159,389,
290,976,552,564,035,153,486,985,577,699,986,770,849,953,653,858,414,374,216,
905,507,125,123,210,272,661,840,320,403,961,953,354,587,102,828,214,093,951,
379,339,777,219,516,358,891,322,815,277,749,412,398,125,780,556,775,274,451,
154,941,437,082,853,436,412,015,214,495,857,706,695,538,542,860,006,312,717,
483,094,282,158,232,589,512,917,498,394,029,316,146,944,831,403,815,375,387,
944,511,095,559,335,242,156,082,680,075,046,750,683,703,941,030,942,631,419,
736,870,949,604,614,159,054,904,761,799,763,269,892,942,238,486,354,611,823,
035,643,150,376,013,531,204,913,044,075,630,915,601,762,037,186,262,815,213,
885,360,082,239,318,464,326,654,408,063,449,211,491,400,838,306,053,782,316,
401,001,021,181,222,498,828,399,761,042,499,063,859,803,996,877,531,925,223,
247,070,005,088,801,444,798,917,443,069,936,259,465,343,953,281,244,463,894,
112,169,944,559,296,682,779,342,553,170,074,633,331,972,585,141,423,932,691,
485,256,074,468,430,089,508,459,850,216,955,639,792,623,145,209,345,527,616,
745,133,215,067,148,152,079,207,669,040,910,189,470,724,424,791,573,551,112,
561,968,972,293,477,188,054,004,388,488,963,884,499,761,224,019,168,281,317,
819,069,205,531,674,902,176,614,767,973,067,492,315,004,849,108,486,574,807,
013,026,999,831,515,417,555,342,679,660,493,374,670,298,201,320,651,541,855,
106,615,277,661,876,312,632,393,849,257,845,134,099,678,461,185,273,241,112,
041,451,382,259,811,207,966,181,868,697,522,221,253,357,109,756,772,165,282,
338,023,251,456,249,795,889,295,252,170,177,358,665,240,502,064,673,970,493,
258,151,839,780,177,116,150,475,857,784,491,730,104,832,209,538,510,469,817,
564,176,465,880,046,770,588,237,777,721,224,547,492,039,206,495,848,128,475,
333,974,303,406,444,476,813,456,576,037,262,627,342,305,404,356,986,464,203,
287,713,416,246,724,962,639,226,704,592,614,041,935,948,034,140,496,418,711,
630,102,736,498,294,865,917,100,825,012,208,789,532,340,013,828,657,326,011,
100,681,976,537,647,921,918,520,209,002,697,112,815,562,516,153,453,573,982,
976,878,795,436,156,726,915,606,672,233,957,156,844,290,144,944,692,214,897,
230,473,775,754,120,356,344,507,257,830,571,459,733,992,011,181,698,485,634,
505,894,462,446,991,178,061,551,346,429,351,160,290,164,388,645,886,580,279,
561,012,251,052,376,848,426,466,996,187,550,313,516,316,089,095,226,778,685,
948,228,476,776,850,895,357,395,622,087,031,537,834,818,389,664,927,534,881,
023,316,268,351,267,682,515,065,842,556,761,292,694,897,745,104,945,697,428,
788,613,059,300,897,494,141,308,689,096,037,906,258,080,019,218,917,405,625,
885,632,366,626,407,202,364,427,559,291,006,173,518,563,577,910,555,496,306,
025,522,832,577,640,278,256,998,542,360,960,932,247,800,992,405,617,914,734,
607,268,872,623,206,278,005,424,051,284,930,549,372,207,238,920,369,938,272,
032,134,409,265,370,864,869,910,993,985,383,876,462,848,098,721,518,907,543,
860,441,497,163,384,670,174,438,819,866,475,525,598,217,993,350,329,072,359,
216,754,122,473,545,719,602,373,279,932,999,899,082,167,105,663,472,475,040,
560,863,954,488,935,032,876,821,937,881,430,298,804,972,403,659,908,221,231,
551,163,080,500,282,940,161,473,740,810,119,670,925,839,795,605,662,921,048,
703,342,950,688,983,214,268,467,223,338,509,192,473,877,814,137,849,607,264,
649,877,045,190,256,692,884,607,590,343,359,906,818,930,344,677,332,139,279,
963,254,531,182,001,786,059,673,049,688,768,179,511,684,998,745,399,458,488,
408,187,193,229,754,449,809,537,803,536,557,652,241,042,248,788,949,863,072,
746,333,128,323,910,678,461,920,902,156,693,970,386,795,595,132,271,257,173,
851,821,420,188,073,806,955,822,448,285,513,015,746,802,548,553,498,295,329,
942,678,889,949,254,854,350,027,776,119,677,169,116,215,867,018,893,048,146,
176,078,287,298,922,335,640,983,150,555,006,227,324,231,027,551,788,892,418,
155,310,330,061,417,855,833,564,899,783,411,044,457,146,983,080,305,233,960,
644,912,765,871,284,531,585,835,052,813,150,741,729,128,627,544,181,194,661,
590,681,333,221,166,130,469,041,874,911,544,480,931,995,528,847,866,738,238,
413,397,179,776,990,577,578,750,557,496,164,167,586,469,242,706,453,314,334,
864,345,210,333,975,469,912,667,054,424,446,218,089,452,884,915,269,116,637,
365,522,184,288,543,867,595,176,145,726,972,430,487,609,599,997,914,984,758,
842,275,416,286,395,628,468,070,271,729,639,554,252,282,798,117,716,436,627,
038,103,554,538,973,839,262,391,326,543,620,872,497,187,115,586,338,790,407,
076,849,874,965,618,232,671,923,382,143,339,938,722,919,352,030,100,936,464,
277,670,950,919,265,594,824,017,731,091,760,507,363,935,805,661,581,855,582,
581,031,133,896,801,957,016,895,870,969,615,889,364,699,441,378,755,419,514,
063,082,534,245,475,231,729,858,733,032,848,374,320,188,386,656,815,398,157,
398,516,918,972,377,592,156,894,516,397,320,955,024,819,213,026,657,684,197,
565,493,723,782,336,016,984,500,863,085,193,233,530,744,765,443,274,916,486,
625,441,381,451,797,564,494,144,593,126,779,684,089,602,165,819,054,567,571,
883,448,060,316,188,015,318,305,710,714,499,431,248,092,484,368,591,967,536,
952,876,874,206,421,261,208,870,517,975,959,440,448,002,981,512,764,988,472,
131,388,763,844,739,895,723,435,121,917,730,909,555,097,801,404,437,791,936,
419,842,884,172,382,410,332,337,701,092,021,125,221,555,735,346,050,144,785,
010,147,456,943,834,183,242,078,392,258,759,459,232,361,320,207,110,506,487,
209,467,807,473,768,676,628,191,590,479,211,099,717,660,202,292,024,350,905,
529,776,042,880,092,619,938,508,622,033,171,955,406,181,774,373,098,166,962,
094,517,447,133,249,343,913,071,634,516,162,945,737,025,114,571,708,827,513,
666,651,128,160,617,354,023,733,085,766,621,895,971,258,075,204,710,391,129,
130,970,797,065,071,430,367,019,403,868,615,568,037,433,645,190,740,117,276,
395,997,716,431,138,674,683,950,362,289,231,713,960,694,027,302,737,072,684,
103,142,160,992,655,126,437,468,337,801,563,241,012,873,691,357,760,527,326,
602,162,028,227,523,053,280,951,195,994,912,740,415,623,312,090,102,607,414,
845,026,481,651,550,215,655,153,599,246,569,442,846,182,807,553,524,618,637,
933,024,834,883,064,030,857,702,461,992,612,688,727,947,385,133,018,419,093,
383,728,848,696,818,106,863,848,749,286,556,107,278,785,542,533,053,095,589,
056,766,433,839,592,511,815,862,486,021,048,281,341,114,947,556,971,497,734,
299,958,075,751,427,909,333,790,910,746,591,247,892,388,490,336,153,712,884,
167,585,062,339,073,629,830,790,226,248,527,807,287,859,172,406,487,397,409,
298,274,310,681,814,115,304,935,284,814,031,095,254,120,461,335,001,119,601,
899,425,588,108,670,215,563,522,101,638,227,993,810,700,821,443,103,310,448,
886,654,881,974,847,329,757,152,748,834,142,767,989,298,739,702,002,514,253,
951,750,549,067,631,859,328,343,425,134,931,143,836,741,973,321,825,932,183,
599,191,593,682,064,338,346,281,115,710,181,849,435,241,003,614,646,460,797,
176,597,859,585,018,789,405,875,635,664,695,504,149,809,380,933,927,776,200,
428,506,655,102,147,413,185,995,275,426,506,505,645,519,614,598,335,658,157,
817,469,053,450,285,876,682,090,584,676,318,719,691,439,216,820,331,453,036,
697,314,728,913,399,147,842,002,212,998,033,463,835,352,572,015,534,714,943,
655,343,518,838,813,000,970,692,993,018,511,501,676,579,314,024,722,533,365,
535,329,924,350,892,830,269,617,357,686,245,050,605,237,678,780,177,575,353,
272,084,979,960,468,016,716,563,243,198,370,582,040,427,841,233,438,590,057,
555,467,424,842,963,674,970,373,366,391,491,269,194,901,300,065,031,913,729,
121,151,293,614,482,066,670,383,491,871,022,933,636,502,663,527,832,367,130,
844,311,607,108,046,742,438,906,186,939,787,782,324,194,333,643,493,715,891,
445,102,853,638,161,576,702,353,541,052,374,346,397,553,436,569,233,322,259,
432,529,865,000,437,746,303,452,108,247,068,583,141,164,478,288,473,823,998,
861,155,417,876,415,493,327,710,968,949,520,775,600,916,729,913,074,689,475,
641,347,409,317,391,061,297,874,233,093,702,000,735,369,374,641,280,050,220,
999,609,843,468,044,953,122,614,646,016,531,129,912,512,190,312,709,918,124,
790,349,904,352,372,196,645,633,088,783,080,983,308,599,365,282,190,265,335,
275,872,762,677,187,270,142,910,440,150,021,889,548,883,378,484,396,538,891,
855,610,519,023,726,451,865,637,644,465,155,217,188,437,532,381,367,534,305,
892,051,257,651,139,037,132,311,633,172,045,045,740,626,674,464,866,558,109,
660,574,974,458,024,170,012,126,194,679,715,857,350,616,055,968,212,903,204,
257,651,181,167,817,951,668,836,601,709,455,581,654,901,211,941,120,783,336,
436,488,379,790,826,275,726,853,781,163,659,712,963,855,517,785,730,588,556,
256,712,408,190,415,786,081,219,109,945,816,221,267,372,571,382,426,590,567,
238,371,520,946,302,380,156,431,032,100,487,241,139,214,090,669,666,184,537,
247,718,753,786,161,416,052,648,807,786,979,875,995,297,970,021,523,128,251,
117,767,117,730,120,375,224,498,585,711,759,202,349,069,057,076,413,461,147,
188,458,596,851,153,630,651,729,223,937,877,556,936,542,022,706,579,467,237,
736,323,752,325,981,111,722,135,447,451,283,233,388,411,022,339,399,110,991,
288,647,911,872,502,207,203,986,432,253,913,436,813,242,154,886,723,886,618,
226,036,475,716,546,396,310,371,983,902,347,019,688,599,980,215,802,845,035,
845,798,176,637,008,065,089,426,604,959,467,743,261,602,204,592,717,746,163,
532,605,196,937,541,237,444,961,052,336,437,733,781,854,532,535,022,133,864,
730,414,083,371,911,200,976,142,385,199,661,920,550,204,361,865,404,648,021,
122,175,008,918,863,294,499,225,181,227,257,047,600,105,461,520,921,179,606,
595,413,065,508,902,490,408,857,044,953,121,383,278,907,653,795,649,758,114,
144,523,376,291,847,636,488,660,885,731,816,105,879,499,192,502,038,392,429,
111,794,105,839,793,021,010,398,838,210,938,113,197,783,416,451,355,930,269,
862,101,388,996,169,087,702,485,190,365,144,892,550,638,969,068,944,906,200,
469,936,518,176,375,907,618,811,238,021,319,686,296,033,565,552,447,331,290,
776,235,662,535,648,358,728,770,602,846,036,849,834,619,994,957,908,747,633,
805,369,885,293,952,153,974,784,170,658,215,781,989,614,259,754,219,085,034,
652,625,319,824,015,852,253,533,854,867,385,197,895,773,572,345,244,142,382,
278,074,661,940,413,496,692,981,947,677,400,161,909,374,353,544,082,751,650,
867,252,755,973,603,853,947,888,336,204,589,853,526,943,124,892,234,495,678,
537,546,809,034,629,177,870,279,667,718,284,466,794,687,171,225,521,469,999,
471,099,185,570,087,466,039,619,560,852,464,766,487,074,005,832,799,779,948,
900,293,128,046,120,676,553,255,673,064,554,397,804,483,004,959,980,691,430,
862,183,651,443,038,911,958,893,841,788,414,656,504,013,366,853,518,285,074,
202,756,003,355,672,738,977,728,504,503,797,667,883,274,609,256,824,532,838,
835,656,620,244,240,678,067,370,415,578,490,402,335,205,952,061,223,072,717,
364,677,767,812,925,030,257,216,559,948,452,953,521,029,822,955,679,429,853,
929,221,793,372,516,876,632,650,051,770,474,359,356,302,771,506,839,555,076,
243,054,008,927,544,220,238,161,754,378,501,681,895,057,605,226,352,355,014,
976,468,290,524,767,951,714,896,295,882,765,943,559,883,911,523,198,882,962,
235,281,013,860,834,836,186,423,962,597,669,954,095,771,466,492,348,095,066,
836,283,918,105,127,284,958,226,383,599,990,551,620,284,047,105,124,403,500,
300,151,860,356,235,318,090,962,681,995,816,130,798,972,900,892,370,747,439,
666,482,156,374,316,481,698,238,472,175,727,467,251,386,259,165,604,731,531,
184,630,500,571,240,923,270,522,079,745,729,920,364,710,462,946,926,445,078,
518,407,095,372,915,181,009,449,873,872,591,368,320,475,789,367,781,461,345,
852,241,955,893,953,169,153,128,968,523,490,083,481,628,597,391,210,373,444,
953,871,521,054,418,474,863,776,498,968,001,643,057,006,926,883,852,029,426,
577,703,125,550,609,809,966,627,066,097,027,813,900,863,940,987,551,830,758,
368,567,186,580,202,759,296,311,615,604,913,320,796,981,982,178,733,387,696,
488,366,526,018,016,827,063,643,744,147,894,248,826,843,452,340,264,899,271,
546,904,255,917,001,700,657,730,242,563,328,629,095,356,727,630,413,524,072,
226,014,550,945,964,459,431,646,366,558,828,966,136,659,282,275,673,830,190,
301,310,185,646,735,617,217,516,657,242,995,074,667,319,288,333,221,013,570,
030,949,171,013,947,688,416,802,124,308,879,623,936,219,634,256,342,997,576,
543,259,411,858,573,613,465,118,500,758,308,512,399,352,456,863,883,899,017,
636,519,460,193,152,485,434,274,569,257,459,761,480,770,446,004,740,961,602,
427,667,753,515,980,728,170,814,674,012,761,723,008,167,086,795,576,502,093,
244,659,861,404,431,536,509,528,244,022,729,734,278,409,743,445,012,684,245,
660,340,231,552,208,286,335,678,760,348,823,900,855,699,921,100,873,806,906,
569,223,636,382,113,275,435,076,461,415,939,967,521,140,077,384,348,313,598,
238,591,275,795,234,176,526,787,089,120,262,977,597,923,593,500,722,243,289,
577,196,696,455,906,901,948,393,665,129,592,246,635,997,913,028,913,703,848,
911,921,624,611,532,830,319,786,802,691,745,455,918,416,002,567,913,209,405,
471,896,861,143,549,242,315,866,839,328,988,553,307,708,309,100,626,957,469,
645,152,353,101,111,429,628,739,598,642,036,758,213,186,414,164,826,198,324,
387,991,244,811,849,411,203,027,317,675,027,331,556,063,913,272,233,992,146,
185,226,472,149,518,373,654,727,228,048,062,779,787,410,649,415,710,044,860,
093,529,678,708,401,974,834,382,145,036,543,105,625,517,430,718,401,498,897,
198,745,890,995,868,139,060,713,419,755,479,754,556,937,599,533,898,815,865,
437,826,253,908,143,310,420,864,768,244,651,817,320,557,443,545,764,654,016,
963,055,111,594,933,241,926,929,148,611,070,549,016,178,777,184,479,581,633,
429,266,402,313,870,528,363,556,823,974,743,144,211,760,651,518,906,497,950,
595,227,534,986,296,732,580,351,599,688,950,173,460,208,481,598,869,019,420,
853,749,572,705,789,020,643,781,907,131,634,558,561,923,487,529,911,661,629,
227,994,576,352,748,168,666,376,239,985,411,088,752,391,126,580,770,191,438,
789,225,876,813,942,221,464,245,121,715,689,898,277,700,190,776,136,666,251,
445,451,942,664,379,026,977,312,949,624,281,904,531,058,995,567,957,180,524,
132,635,327,246,776,499,872,334,975,701,546,142,131,576,998,363,075,630,459,
648,142,083,308,208,825,227,522,198,996,257,323,053,325,402,727,324,182,184,
848,829,867,104,063,597,598,990,946,849,487,505,845,439,016,026,876,805,184,
350,695,155,973,297,515,263,418,787,335,916,436,714,934,800,113,052,855,974,
079,559,612,684,486,061,692,048,484,017,144,259,270,722,292,122,438,994,706,
407,038,915,953,048,274,471,468,895,762,807,561,295,005,716,696,543,832,213,
175,083,928,524,831,769,466,810,299,558,817,267,853,104,888,343,737,843,673,
815,482,961,193,128,240,891,336,796,616,255,940,032,245,665,383,510,207,869,
263,394,255,109,472,810,042,144,947,679,917,822,237,746,851,315,475,678,624,
308,011,141,718,876,733,621,969,373,715,874,895,084,563,239,061,267,890,503,
504,216,883,399,704,944,025,875,515,277,088,007,109,891,022,574,316,614,604,
638,541,849,312,105,604,617,260,541,103,486,663,497,762,718,619,441,140,886,
197,342,098,033,693,375,886,504,411,199,807,762,789,477,398,433,555,963,340,
403,208,395,638,959,664,213,595,667,783,755,232,669,589,135,006,517,561,810,
839,047,253,977,545,527,239,092,767,794,724,283,302,572,539,332,212,470,922,
526,214,596,307,832,433,146,085,932,707,903,566,356,918,237,934,634,677,562,
261,125,470,704,858,605,947,374,662,375,821,334,471,936,549,530,475,208,006,
520,271,675,488,078,225,294,276,060,171,336,793,425,732,838,734,827,436,091,
650,242,392,885,396,372,582,930,002,436,814,038,986,203,129,322,853,542,734,
483,588,706,045,987,962,991,994,181,490,228,695,758,256,868,572,113,032,176,
027,712,775,473,767,540,459,657,159,787,971,829,975,805,807,706,379,536,288,
115,318,816,339,346,137,166,021,156,192,817,417,405,620,870,539,067,868,248,
472,597,052,946,176,082,672,014,430,816,144,987,530,558,737,909,603,786,243,
338,119,063,178,463,368,861,978,685,121,047,161,948,688,597,838,459,327,304,
421,701,204,843,410,010,197,093,656,633,626,599,873,095,820,913,231,872,997,
993,923,142,689,631,877,651,247,301,594,720,280,697,177,819,544,024,966,610,
079,827,782,063,906,088,219,902,194,329,207,972,823,722,438,237,805,735,211,
260,898,430,402,214,356,931,817,013,998,786,220,684,286,853,864,378,770,001,
689,942,416,299,090,394,193,464,758,506,790,500,452,857,946,435,901,741,307,
189,547,652,708,139,913,765,530,644,303,360,796,083,541,805,477,377,482,140,
603,623,455,301,662,116,868,547,375,873,069,881,467,117,860,128,060,490,486,
652,481,694,940,117,243,998,890,840,647,642,743,165,186,308,267,360,364,743,
382,377,075,662,934,901,521,143,995,031,450,762,758,006,076,863,258,011,004,
991,719,177,072,896,793,173,358,016,502,750,105,310,706,019,274,260,359,781,
798,464,527,068,396,484,210,158,192,990,661,234,059,546,532,117,565,588,636,
285,608,964,655,028,720,281,732,898,122,190,052,920,987,519,902,722,437,915,
619,854,688,847,278,017,822,660,133,237,967,215,459,647,857,514,509,985,905,
379,956,156,827,622,085,148,609,741,871,919,031,945,878,703,367,394,854,941,
277,691,789,756,678,143,752,428,233,689,301,411,746,458,188,603,817,127,008,
146,141,436,919,778,186,648,020,836,364,578,513,021,518,062,600,103,285,052,
850,354,239,426,356,835,291,466,440,234,852,966,889,733,999,948,543,164,044,
130,356,441,778,848,649,965,581,835,025,002,361,141,643,023,472,022,845,561,
919,386,146,554,268,512,487,096,515,383,260,836,654,646,211,707,968,481,877,
898,395,916,468,414,383,156,600,739,448,126,397,768,284,588,707,997,818,849,
023,545,565,266,380,495,696,448,170,392,576,380,941,019,430,228,364,138,067,
071,993,843,820,488,159,496,451,649,680,017,590,687,763,100,672,263,355,154,
465,435,104,876,606,965,950,547,270,345,813,563,814,823,652,175,434,987,194,
358,775,375,499,136,656,475,936,784,131,568,306,203,773,539,421,211,398,856,
821,456,228,351,611,486,838,246,018,326,696,164,959,388,843,129,459,526,208,
283,055,637,403,371,156,386,416,413,773,697,134,597,468,783,451,524,973,734,
209,740,755,163,291,545,756,389,334,985,961,742,265,534,854,056,187,178,069,
249,580,874,880,817,103,110,861,567,790,537,978,912,874,231,783,633,599,525,
647,300,465,016,644,560,009,258,726,174,140,055,298,404,250,765,027,582,566,
027,437,732,967,422,663,494,200,969,956,758,091,629,600,757,693,150,399,490,
285,637,418,441,907,456,005,372,568,224,191,045,981,468,766,506,331,090,548,
610,974,622,330,910,676,928,687,087,909,539,147,561,732,952,456,334,691,366,
410,022,448,999,644,468,052,132,541,359,155,207,374,137,196,313,510,392,220,
909,367,402,711,553,435,337,407,088,325,625,504,975,958,457,173,744,888,822,
838,053,060,401,166,324,235,344,119,246,482,703,761,512,684,495,139,798,059,
111,113,461,885,439,258,949,033,476,303,147,091,637,250,506,601,018,579,554,
138,295,989,959,017,768,536,721,598,535,859,938,990,857,033,076,956,638,060,
105,505,635,596,106,626,276,746,812,165,286,148,117,782,328,478,851,312,212,
486,418,552,737,812,822,776,573,217,694,738,357,936,786,243,739,265,731,906,
816,432,004,063,715,865,185,848,566,250,783,411,485,429,739,081,740,564,121,
099,968,604,323,207,412,263,603,588,264,738,875,219,913,497,915,313,908,320,
590,296,881,639,467,518,385,186,149,718,672,400,332,461,919,598,783,240,053,
662,266,697,025,400,029,719,606,959,875,836,253,847,235,552,401,179,893,459,
689,859,061,210,039,138,104,943,052,905,323,836,326,250,103,366,801,577,247,
016,744,749,791,043,374,230,916,734,703,563,733,480,666,167,917,031,911,595,
494,769,560,002,291,026,530,766,588,775,323,248,184,001,523,939,175,678,723,
227,369,995,678,978,552,386,505,647,779,585,197,954,781,754,455,979,507,998,
962,637,481,576,813,720,770,166,642,086,048,138,719,958,508,924,898,462,752,
538,503,232,378,044,347,130,738,539,277,777,290,311,141,335,427,376,657,147,
124,745,171,230,491,809,281,090,820,711,418,114,392,713,392,041,345,979,738,
284,745,884,980,613,550,606,862,509,557,220,251,174,053,939,589,414,048,399,
240,845,166,490,215,429,638,874,063,801,330,676,122,568,799,746,995,679,972,
769,172,874,316,407,380,119,669,201,371,592,676,235,434,911,430,780,188,107,
926,572,342,424,652,119,877,558,121,447,079,380,117,146,269,583,882,048,960,
754,509,334,462,872,846,438,084,172,293,431,538,069,731,383,157,967,174,032,
919,963,643,272,039,478,687,835,027,148,193,607,801,633,974,653,557,181,207,
079,146,546,879,352,505,737,858,879,105,589,336,699,148,477,158,455,362,656,
513,492,422,776,414,538,890,885,120,896,130,416,154,626,766,470,728,616,930,
098,283,036,679,081,966,138,709,674,739,959,918,469,502,107,170,444,202,706,
426,147,808,829,742,766,829,773,377,892,493,152,129,105,589,299,113,025,672,
457,890,316,422,557,459,849,528,587,590,201,292,524,811,361,991,105,205,365,
243,471,978,127,804,307,344,368,780,162,670,548,340,693,225,999,316,466,112,
326,773,994,850,432,724,854,623,878,652,518,563,821,072,383,731,572,963,205,
815,756,729,245,125,934,794,246,750,202,401,111,665,683,147,789,913,472,242,
691,529,136,422,659,384,025,530,929,799,977,135,789,068,192,203,989,986,660,
082,089,365,947,802,279,328,560,171,904,232,046,832,356,255,776,342,966,761,
100,083,411,739,774,611,308,212,973,001,844,440,051,037,928,692,860,752,333,
188,322,276,108,562,715,684,743,681,114,834,935,188,990,325,414,703,231,192,
082,553,117,240,407,279,425,087,575,083,609,436,682,421,615,916,083,100,605,
339,948,832,484,268,365,281,259,816,715,121,898,279,392,343,274,667,094,770,
841,767,608,492,695,298,192,994,494,656,692,814,094,032,235,774,190,445,788,
029,877,719,775,490,812,090,572,685,589,178,393,903,082,589,723,723,931,115,
961,656,081,402,377,046,995,692,031,461,523,792,346,698,007,842,757,887,960,
726,911,334,386,373,128,766,528,727,661,101,557,691,952,713,036,172,536,961,
374,917,735,237,923,350,498,729,432,379,994,085,027,414,226,196,803,284,172,
352,298,447,448,309,500,209,310,988,974,432,628,542,278,122,017,798,227,993,
470,659,414,618,395,239,594,505,477,563,902,711,628,289,218,766,854,486,482,
758,283,997,821,535,378,381,026,882,394,857,018,815,853,694,872,269,964,376,
372,790,502,767,040,661,052,212,531,101,645,548,935,123,337,690,364,849,164,
905,779,665,912,024,368,318,127,553,911,312,912,043,849,944,189,231,038,008,
640,866,130,457,532,516,180,831,841,296,376,863,856,707,750,879,227,172,700,
410,127,521,588,593,080,328,228,591,888,469,849,247,840,424,921,697,224,568,
671,881,399,467,542,310,750,066,328,045,850,175,221,569,527,862,478,905,573,
783,044,062,506,944,370,128,922,474,009,895,287,226,305,676,551,217,233,903,
989,428,913,555,664,842,274,121,488,794,620,857,794,613,935,397,861,519,301,
884,585,952,095,801,562,667,516,281,927,225,616,352,884,197,555,274,486,374,
776,405,886,729,558,678,791,182,618,668,717,821,922,936,072,836,555,664,010,
684,403,883,696,317,438,136,249,325,292,896,820,774,881,670,177,908,061,561,
938,413,420,197,736,169,202,435,772,780,689,300,567,530,557,387,231,057,797,
757,177,549,750,659,018,937,337,168,836,898,469,384,168,013,186,377,564,427,
327,653,355,010,770,331,469,537,349,255,651,581,775,220,667,321,748,850,554,
500,764,840,674,581,750,048,545,836,710,149,797,816,766,801,860,560,431,401,
864,172,329,267,512,707,303,676,742,131,713,282,376,017,768,871,039,190,235,
631,002,914,463,275,531,014,874,831,571,543,217,864,720,556,648,892,081,833,
993,125,062,020,084,917,083,538,044,461,290,057,781,978,906,477,029,183,617,
984,920,907,212,510,799,717,757,767,512,952,889,239,720,608,942,111,853,013,
163,335,817,692,744,758,327,457,678,801,151,905,857,023,877,584,678,648,053,
761,967,260,351,754,279,309,227,889,514,331,692,128,663,443,006,438,640,544,
705,770,547,348,828,322,207,391,371,049,549,529,341,686,080,618,767,064,491,
863,555,021,065,375,619,300,344,604,765,258,551,311,979,461,075,340,914,600,
619,486,048,274,846,773,401,191,004,028,661,200,187,572,007,055,197,130,299,
410,968,237,658,034,045,037,044,608,583,243,517,629,293,194,488,030,464,927,
588,358,457,518,486,166,886,308,082,559,478,352,457,890,371,850,601,975,947,
799,047,333,403,436,725,750,724,534,287,877,812,002,226,562,624,851,457,403,
084,953,722,197,116,091,579,088,596,593,306,194,312,543,270,313,804,010,479,
993,635,395,365,633,424,518,588,621,802,976,910,559,218,643,477,644,483,311,
612,764,262,915,003,058,995,047,940,656,079,468,840,446,616,774,837,868,639,
337,795,681,130,095,082,348,401,895,418,204,712,200,078,591,582,052,480,515,
355,746,198,908,148,456,452,289,028,681,051,731,334,440,718,107,860,028,323,
133,679,326,632,870,699,091,329,450,857,713,426,217,168,088,895,915,442,025,
292,600,806,182,632,720,353,138,279,060,337,834,576,623,346,644,552,064,800,
795,080,742,490,322,048,929,918,744,614,591,263,556,157,985,471,386,677,951,
542,615,626,777,380,763,123,549,556,934,158,026,731,782,421,332,219,616,874,
925,460,929,042,746,515,573,784,727,112,491,017,539,951,382,720,989,734,383,
321,713,724,411,356,330,834,574,457,938,403,307,400,638,468,146,873,283,264,
033,645,716,776,082,587,041,172,640,112,266,875,780,793,254,806,881,825,963,
466,715,072,757,121,801,854,676,891,674,950,571,575,810,434,535,107,647,184,
678,956,677,152,955,759,185,938,548,745,665,908,815,310,482,656,271,395,463,
869,555,589,441,382,039,213,087,219,487,615,600,100,863,442,487,887,171,767,
983,410,313,385,554,646,205,521,331,673,089,472,757,449,383,110,729,777,852,
545,464,004,181,729,078,078,831,148,679,590,513,029,210,338,283,424,497,764,
323,734,299,659,158,665,867,156,273,436,574,195,980,929,227,859,923,517,778,
174,387,457,190,742,488,144,243,416,486,377,888,902,626,766,624,507,144,899,
941,249,281,286,640,335,284,011,642,111,188,267,907,483,149,362,557,055,524,
889,950,910,436,572,086,358,457,336,436,094,518,345,242,428,524,501,883,635,
344,845,721,995,798,502,266,768,184,375,985,092,390,558,671,841,244,245,577,
482,241,497,648,377,027,963,490,630,706,809,645,459,956,021,650,669,843,908,
612,277,013,391,708,042,310,858,002,603,983,534,069,430,208,936,411,739,532,
069,859,142,332,918,202,372,809,494,752,986,971,426,143,338,206,412,905,820,
351,254,263,635,461,255,584,402,387,318,194,498,609,042,990,751,817,614,229,
330,447,810,804,364,490,111,298,390,104,683,640,879,354,408,985,440,050,955,
952,727,907,203,345,069,824,473,285,814,586,941,062,816,375,061,408,044,858,
909,384,173,033,077,773,042,464,668,783,359,765,234,069,402,972,504,644,030,
796,822,411,221,330,676,256,420,977,023,514,943,615,883,577,717,374,025,032,
122,024,715,794,698,744,319,240,837,484,332,789,515,986,623,909,405,454,626,
727,565,772,578,778,202,646,949,759,529,986,761,623,507,922,500,394,303,739,
958,920,685,310,564,205,849,774,968,711,088,451,863,990,901,288,998,580,674,
531,087,916,497,293,469,848,442,986,325,646,931,947,160,346,126,634,983,038,
654,352,848,812,151,339,129,438,400,052,501,534,015,008,356,389,194,713,649,
788,003,669,044,295,550,054,059,943,044,426,127,996,517,728,071,703,822,863,
918,064,208,197,846,126,153,867,349,367,308,031,318,298,036,985,972,390,608,
357,005,678,371,937,096,510,271,230,940,374,601,145,085,440,607,403,202,327,
666,416,852,965,558,295,238,326,511,597,333,970,134,136,363,385,815,179,504,
625,167,131,944,661,267,856,714,376,024,842,850,316,419,433,954,613,881,419,
976,525,654,960,523,774,070,373,962,573,773,703,546,291,959,446,570,223,500,
245,570,361,738,700,501,559,322,274,804,007,214,614,806,030,715,220,737,054,
547,574,436,939,738,869,986,484,198,880,031,857,866,640,696,858,471,292,410,
790,093,728,944,937,431,069,736,609,109,758,159,647,099,262,392,509,130,495,
688,817,899,518,479,826,776,354,468,912,272,770,109,703,860,276,205,619,542,
986,718,751,715,040,151,806,242,622,281,703,082,362,312,029,129,622,011,203,
088,956,379,162,759,462,836,390,565,675,653,767,843,475,508,640,038,178,047,
911,919,395,515,863,570,495,498,081,241,442,469,837,088,787,540,117,941,108,
762,790,094,317,742,566,234,593,777,610,098,538,354,480,218,840,259,604,972,
420,239,925,261,144,465,483,773,311,427,156,374,551,711,684,819,594,966,614,
728,427,475,904,159,315,976,447,176,284,022,963,197,185,966,883,727,555,844,
715,437,218,600,028,483,664,796,116,045,916,365,418,213,441,009,053,200,409,
397,254,279,266,873,592,490,226,028,923,321,591,578,282,493,506,026,994,175,
408,451,189,470,597,811,341,009,687,010,997,220,771,031,580,917,023,914,557,
201,351,002,547,746,607,075,299,246,937,813,178,484,042,873,174,845,101,128,
153,033,421,486,700,400,329,939,687,716,622,274,790,634,361,713,111,117,858,
356,647,435,858,384,743,751,845,822,324,152,129,690,972,179,219,660,643,394,
638,893,895,298,894,437,153,881,343,008,894,978,266,137,932,729,620,349,144,
222,128,601,867,016,826,332,332,026,440,283,132,361,334,248,972,825,849,427,
543,098,242,000,769,132,865,602,797,245,107,973,512,556,461,313,091,763,438,
482,335,876,160,694,660,220,993,661,194,741,454,716,236,483,802,494,942,575,
480,884,656,641,128,054,963,274,334,805,506,059,591,997,176,040,110,437,432,
325,739,523,970,193,188,499,198,586,587,266,132,006,410,094,744,771,982,743,
301,378,667,285,698,291,131,154,435,685,362,695,005,950,099,980,658,721,707,
127,310,864,057,308,936,439,229,038,541,147,993,019,158,114,900,366,941,523,
075,916,133,739,287,077,527,704,653,937,005,565,787,163,329,657,234,318,626,
961,828,106,256,427,199,459,060,305,673,270,491,316,387,273,237,915,676,267,
180,981,212,178,674,855,573,712,991,438,321,930,269,969,898,700,101,747,502,
637,862,705,408,146,512,578,239,070,803,735,851,682,682,408,557,633,788,724,
856,810,535,558,617,796,847,771,430,413,183,274,248,581,095,384,421,461,511,
079,844,285,015,646,447,878,360,487,583,627,148,153,245,357,316,431,804,377,
438,691,723,639,994,383,739,440,714,959,797,478,607,086,291,853,975,736,676,
975,513,064,284,975,209,224,800,582,324,368,510,238,304,035,937,368,247,381,
488,729,352,760,398,454,504,105,043,780,940,043,398,551,012,893,346,593,090,
245,530,633,994,763,665,600,174,075,774,986,618,103,611,307,876,606,572,692,
707,469,640,347,486,920,281,134,286,324,724,146,005,963,993,429,974,896,370,
483,297,167,699,123,954,943,490,613,910,726,628,978,154,107,202,633,700,947,
828,412,147,362,244,183,016,306,942,459,229,666,794,010,993,252,057,414,036,
847,615,616,158,583,529,198,022,447,858,211,990,291,302,045,175,818,269,463,
812,867,548,921,176,677,100,017,936,003,017,255,746,395,823,905,604,678,923,
430,133,002,763,487,662,562,762,502,303,046,561,899,523,203,016,529,205,589,
038,113,951,178,521,488,736,769,057,170,903,835,434,428,121,930,859,742,297,
828,393,706,420,094,338,659,060,167,864,583,888,181,278,084,572,412,443,283,
983,940,378,993,159,860,033,446,804,948,033,350,925,089,959,654,574,496,062,
554,512,947,289,688,209,443,048,124,789,170,682,441,417,139,259,263,570,598,
592,600,487,169,405,263,070,671,446,357,830,670,217,500,251,259,801,288,698,
240,618,968,551,643,310,301,886,136,528,383,425,319,500,360,127,774,121,621,
339,873,832,052,938,447,201,729,210,498,170,465,574,343,561,553,616,584,701,
256,951,111,130,418,590,294,248,635,728,000,750,545,575,521,841,286,886,519,
093,556,828,195,355,987,215,324,764,765,499,139,524,832,324,862,913,381,174,
473,409,781,658,514,158,228,575,591,743,888,867,962,825,627,392,296,143,469,
068,954,002,195,692,064,262,705,735,282,753,516,338,526,613,310,967,193,411,
017,304,621,803,776,556,693,932,042,292,670,028,352,508,503,559,856,541,692,
796,415,889,623,019,539,838,007,297,732,590,259,072,483,490,288,503,600,314,
021,574,763,129,628,569,588,819,382,512,360,942,972,650,575,000,345,121,233,
118,475,761,240,839,150,771,009,770,839,786,576,948,915,456,261,126,259,468,
654,221,787,237,389,245,002,888,889,319,036,265,091,437,124,198,160,591,276,
199,836,333,543,736,169,571,474,716,505,377,680,861,402,216,054,105,160,807,
689,058,323,011,404,827,445,531,926,568,868,714,989,947,439,792,782,670,794,
606,046,879,651,954,872,226,374,101,609,754,035,364,768,109,976,998,311,445,
336,314,802,996,624,373,655,382,996,093,229,418,103,390,131,329,966,947,029,
451,634,058,690,155,885,489,043,577,207,236,834,996,258,107,264,784,244,913,
829,191,221,449,499,211,136,791,138,711,039,199,880,632,782,854,324,478,308,
535,044,300,690,058,713,786,815,293,163,632,857,743,141,904,762,360,809,581,
319,797,372,143,079,156,125,438,580,763,431,062,552,336,763,198,736,231,727,
893,762,360,413,463,251,665,850,290,022,846,516,676,684,513,735,513,974,439,
185,339,762,478,017,099,637,950,100,128,060,946,529,210,562,421,171,017,319,
014,240,274,641,758,853,275,286,847,642,287,476,800,898,473,161,372,301,579,
816,486,298,827,384,186,515,135,392,192,886,446,179,859,157,539,694,298,309,
234,643,497,344,989,683,642,363,043,866,201,143,308,009,972,080,798,191,294,
485,671,480,896,423,791,941,114,489,234,043,858,899,503,228,120,320,073,501,
911,297,700,444,372,734,707,930,357,317,069,982,795,097,959,059,873,536,139,
332,849,068,458,376,406,664,789,877,350,402,850,420,972,091,738,919,888,764,
379,068,174,595,469,358,081,523,273,344,522,542,236,045,512,747,737,310,383,
437,959,131,607,336,248,636,890,728,213,911,181,433,415,161,607,370,672,454,
538,821,211,505,216,447,248,004,484,466,466,216,216,633,153,974,989,327,071,
265,511,775,564,521,155,155,976,207,417,720,170,386,409,999,783,812,826,672,
838,436,592,661,623,786,298,637,207,702,771,671,388,884,467,509,565,768,423,
457,891,788,727,766,283,642,516,970,885,736,476,078,569,018,001,762,211,541,
949,132,300,017,643,677,228,668,810,362,954,800,424,112,350,398,369,316,944,
670,190,964,074,533,575,419,209,895,137,239,152,143,472,374,970,673,074,866,
340,638,049,047,753,721,203,111,951,751,553,192,517,642,461,826,515,215,133,
766,394,227,780,013,838,640,764,663,624,763,129,549,466,676,031,100,812,076,
750,878,868,813,842,655,481,175,205,585,524,399,079,938,258,429,587,029,002,
915,995,682,067,056,200,274,264,357,908,583,745,759,772,531,347,765,519,421,
579,033,648,394,779,440,017,537,051,407,694,130,753,380,950,268,924,235,176,
081,960,222,993,721,296,018,740,852,938,610,607,217,019,883,354,550,414,848,
548,363,098,729,397,638,039,040,999,413,673,119,803,881,406,788,086,089,503,
630,959,927,513,041,941,694,446,974,495,642,072,431,014,605,016,464,029,861,
301,343,456,467,305,641,259,145,839,769,660,659,619,709,638,572,095,704,991,
916,806,101,166,751,749,182,150,985,432,914,264,818,500,418,628,781,941,445,
799,906,423,302,463,632,194,777,669,193,284,822,121,142,845,116,373,934,106,
002,281,103,256,029,520,269,573,838,035,757,653,723,189,181,520,041,937,452,
806,610,014,938,183,795,567,338,016,373,904,756,024,749,567,909,724,268,437,
078,823,494,577,396,660,389,927,197,279,795,086,296,506,076,182,462,698,713,
664,502,858,267,905,673,824,993,407,660,861,873,222,430,621,557,351,086,398,
051,344,497,726,921,000,846,327,718,115,149,127,791,606,715,119,784,847,625,
129,478,083,991,941,673,829,847,826,693,621,377,623,407,862,932,538,588,307,
720,201,533,442,979,641,623,547,225,913,169,708,399,874,412,269,156,240,073,
412,710,697,685,940,918,913,579,742,286,088,404,941,840,060,666,657,591,152,
230,354,011,623,595,677,382,686,993,947,294,747,732,527,957,205,796,779,966,
404,293,074,097,951,026,391,681,384,382,943,865,085,161,403,402,711,067,085,
769,726,636,443,855,908,569,810,318,267,667,619,245,945,211,007,645,564,444,
467,147,933,908,250,603,476,530,216,309,752,117,692,058,947,350,797,935,366,
066,582,511,626,225,658,746,354,854,684,495,169,824,983,077,868,652,996,495,
179,431,214,575,746,271,393,854,506,306,967,723,347,313,368,442,815,571,486,
799,957,427,280,962,623,314,762,690,012,823,523,852,612,678,586,665,406,813,
812,079,462,329,330,520,877,538,359,960,130,009,332,465,081,802,564,456,473,
070,580,422,833,298,528,411,215,693,515,975,439,830,744,326,891,390,730,431,
517,342,935,835,447,948,889,048,137,461,623,574,568,084,438,349,931,871,671,
525,688,465,592,624,448,360,149,798,360,811,030,213,848,722,817,638,030,027,
645,173,553,661,429,321,224,489,107,565,844,795,686,954,989,054,891,209,540,
471,334,648,336,402,966,652,851,509,321,909,292,620,784,660,061,883,835,251,
000,203,321,020,237,756,088,122,637,748,878,904,716,959,006,170,615,506,048,
631,577,599,033,432,277,289,755,746,182,409,510,563,726,444,402,451,315,880,
240,176,827,883,161,475,216,978,617,680,333,997,444,623,822,213,183,529,650,
251,836,246,949,115,427,827,541,787,972,032,726,985,264,358,920,186,347,669,
417,300,299,703,442,696,272,900,262,266,104,191,630,626,651,753,273,551,343,
658,548,000,284,051,521,728,868,796,410,337,227,016,159,671,643,674,111,294,
274,663,097,611,497,817,589,589,302,781,996,289,616,652,101,905,926,025,384,
240,182,312,528,538,712,619,224,405,725,742,720,320,391,085,295,163,713,817,
842,000,216,562,012,892,026,045,772,125,553,344,555,364,909,626,274,897,824,
413,157,277,652,817,176,832,913,411,888,751,227,897,454,085,403,589,751,230,
925,143,580,738,447,894,598,359,474,914,690,556,336,309,494,649,937,788,368,
797,068,096,214,147,987,710,398,415,507,291,335,962,140,968,397,914,146,159,
791,529,066,107,410,614,284,528,057,400,092,031,930,342,347,674,625,421,305,
541,723,738,565,582,843,044,799,842,839,723,914,833,091,364,677,611,297,323,
734,104,280,642,639,108,212,233,730,972,509,910,265,756,331,853,750,744,058,
312,091,325,894,480,116,348,113,653,704,230,400,296,501,772,843,068,719,348,
260,299,213,342,032,926,993,281,049,680,658,197,108,081,892,888,696,333,294,
557,823,260,935,677,061,759,903,267,147,128,616,878,707,160,704,859,654,838,
075,907,161,144,638,962,612,638,519,037,399,877,416,261,748,578,554,131,458,
176,831,894,134,836,016,498,875,316,069,078,773,718,346,338,619,886,719,079,
554,962,345,036,987,516,174,833,603,424,529,028,916,905,009,918,145,836,549,
952,316,394,654,808,985,474,508,778,287,155,647,241,834,892,153,653,979,739,
535,989,826,175,016,833,053,251,891,152,252,396,604,932,338,395,109,599,242,
452,735,066,358,032,611,046,482,278,078,236,867,840,261,478,141,333,520,315,
525,242,758,495,067,712,847,722,481,222,694,614,203,427,981,601,867,256,891,
946,893,955,888,230,868,288,655,547,065,040,902,704,675,353,000,735,423,198,
135,388,617,545,484,272,525,338,184,467,956,441,314,591,607,562,641,064,812,
418,084,559,491,320,351,929,592,189,751,523,708,910,686,678,581,759,868,983,
329,627,453,231,415,350,424,247,507,910,153,894,351,360,659,380,603,002,517,
991,101,427,915,631,884,670,842,012,425,239,235,521,662,997,634,892,396,943,
939,601,593,667,281,648,380,660,936,969,172,283,173,235,292,500,181,968,317,
492,510,216,422,123,265,445,677,874,513,098,971,567,028,896,678,117,148,728,
578,827,713,921,871,966,192,719,587,804,484,065,924,173,842,662,468,528,512,
179,985,076,920,870,076,273,687,428,133,196,056,723,996,002,178,816,157,942,
055,372,667,282,315,346,039,628,072,328,764,270,693,428,165,666,666,185,936,
856,722,282,174,040,662,758,901,254,871,333,292,333,052,521,951,020,265,013,
202,330,264,589,204,030,229,320,739,936,614,918,693,244,008,358,561,034,114,
397,324,828,357,346,496,669,264,189,341,896,002,469,200,514,935,113,901,425,
479,899,967,134,798,854,434,993,564,971,816,268,723,108,333,136,448,196,877,
354,019,353,960,757,315,570,067,825,165,735,777,187,568,528,541,262,510,635,
269,796,028,796,275,020,909,716,140,285,279,475,708,563,094,558,248,600,911,
300,735,444,991,353,985,990,102,599,563,110,228,749,897,141,997,165,120,391,
852,620,508,321,794,794,769,493,851,168,274,001,046,884,477,095,560,058,967,
246,970,757,491,668,255,111,978,478,316,370,971,545,946,994,618,445,862,571,
978,612,376,548,526,854,637,007,144,380,036,711,304,866,800,650,925,009,657,
414,100,770,658,501,137,483,636,274,944,859,328,327,423,080,966,324,450,822,
763,020,123,517,895,867,745,584,272,269,820,073,949,400,314,315,875,230,340,
913,986,862,989,979,435,895,083,888,652,588,115,826,920,804,262,171,163,406,
583,946,640,259,543,300,215,444,463,792,284,810,534,889,386,441,390,101,255,
239,990,255,418,485,003,930,423,447,658,499,420,788,185,877,871,946,328,957,
710,622,382,643,304,918,591,882,479,397,912,808,949,411,795,541,478,305,505,
886,577,636,615,101,648,490,327,889,213,431,407,128,074,284,114,788,824,474,
016,960,898,660,063,031,923,294,729,740,817,859,166,789,641,862,995,247,987,
303,497,287,857,177,064,749,850,374,709,566,347,345,935,337,669,696,171,874,
575,561,944,247,090,716,108,886,230,306,983,602,691,533,552,163,509,540,249,
462,407,617,151,256,014,467,533,108,476,691,163,570,063,914,076,136,967,889,
322,228,055,606,657,701,426,228,584,542,900,183,692,449,861,858,669,495,507,
244,622,085,694,492,274,786,805,247,793,216,722,370,684,925,035,420,734,425,
363,393,694,638,317,295,288,236,829,697,661,937,972,464,498,615,127,383,756,
144,651,751,356,204,116,374,037,407,880,442,971,887,812,357,073,632,458,588,
941,031,580,959,867,104,201,743,739,266,619,740,061,357,917,366,472,117,709,
950,226,265,379,685,717,687,581,417,203,946,706,449,134,736,258,825,993,150,
105,801,225,858,059,444,369,094,019,569,885,375,993,312,085,402,624,072,127,
775,891,148,445,945,264,160,713,554,285,049,347,977,946,089,918,346,166,553,
218,592,261,365,877,397,402,687,203,830,559,607,081,840,403,118,065,656,617,
860,609,116,047,835,371,101,113,123,152,121,761,268,254,789,646,321,137,026,
103,855,012,367,964,776,912,279,760,806,915,498,304,305,947,625,895,829,230,
949,594,925,174,801,767,463,246,381,910,979,092,276,340,923,847,425,846,391,
369,045,292,556,527,051,968,551,358,647,407,344,987,095,329,967,095,340,251,
719,084,817,676,508,261,244,874,164,864,752,140,069,326,017,519,972,480,206,
566,843,338,959,587,844,501,838,796,385,221,646,294,999,502,088,193,418,370,
761,809,673,200,277,024,851,633,893,426,950,224,555,128,117,163,403,712,540,
962,362,645,385,938,351,120,795,375,753,479,129,112,998,045,591,922,970,829,
944,785,414,626,398,022,027,580,797,811,446,020,804,606,334,314,803,089,962,
522,522,882,025,493,184,037,302,242,830,153,853,403,872,374,462,336,017,316,
382,244,638,300,440,493,038,844,602,873,899,004,084,191,746,773,476,418,239,
844,300,957,189,366,511,684,920,915,126,624,923,698,620,284,927,275,138,602,
588,774,614,719,442,295,519,629,589,087,300,595,340,351,564,731,046,861,086,
370,472,395,009,048,872,065,722,022,958,695,817,912,050,051,249,347,860,678,
965,833,661,437,150,754,693,465,343,677,423,447,475,362,986,141,757,997,195,
637,702,648,425,651,180,127,838,433,915,109,493,510,143,351,779,721,248,487,
311,757,014,685,926,279,678,470,136,819,364,711,580,050,143,103,402,930,690,
211,070,172,032,295,741,706,867,738,100,435,119,637,173,523,266,365,584,569,
857,547,432,603,830,883,426,337,881,069,469,301,396,284,851,726,452,541,038,
129,034,793,571,966,333,537,341,209,835,450,751,455,699,988,185,971,471,702,
989,057,407,674,531,888,568,991,395,183,219,503,388,948,000,043,071,432,276,
719,639,741,746,447,510,182,257,896,383,884,140,931,059,149,057,062,066,738,
031,348,669,624,326,164,258,948,690,026,265,173,411,936,820,300,968,852,549,
063,821,530,489,262,666,636,138,480,750,572,833,015,993,663,688,820,908,744,
379,578,064,425,682,775,252,623,888,072,378,112,492,087,384,472,560,960,485,
084,294,599,414,586,612,630,841,603,946,558,270,069,933,086,451,448,934,717,
350,498,436,501,767,100,702,436,681,328,827,810,079,955,166,429,771,314,354,
219,010,747,669,079,962,504,573,079,994,288,102,452,988,966,416,178,107,912,
424,884,325,675,634,357,165,378,646,460,156,765,419,063,140,150,118,449,934,
709,674,262,522,411,171,073,436,490,494,043,284,322,422,784,308,721,515,591,
528,730,725,898,846,339,474,604,304,901,599,128,970,055,155,949,288,515,435,
499,593,809,832,762,707,919,926,459,702,697,375,035,442,525,362,053,836,297,
945,627,096,217,812,056,303,742,793,648,023,993,583,444,035,719,721,750,176,
898,483,597,144,089,628,351,245,927,741,561,703,907,157,948,486,528,414,616,
301,579,796,912,906,844,650,824,785,748,191,687,432,516,930,415,605,616,822,
676,295,084,728,402,098,723,852,604,753,414,327,083,117,141,728,612,712,806,
409,180,294,166,967,174,042,394,255,000,946,816,675,604,878,969,895,606,718,
687,430,027,391,152,147,632,098,961,275,559,496,666,337,853,066,525,499,051,
266,353,833,834,945,840,592,446,470,028,873,909,177,715,200,071,584,012,084,
554,833,741,277,298,671,312,071,015,827,031,586,056,763,454,564,974,853,811,
354,483,203,448,403,920,494,116,131,545,792,515,526,182,220,373,684,750,591,
214,073,822,233,171,222,593,770,080,712,016,957,561,476,272,223,632,884,597,
083,858,851,834,455,444,612,472,278,559,559,770,340,865,458,299,668,620,234,
408,078,846,659,055,573,418,133,466,829,394,171,034,299,208,198,875,972,042,
618,088,576,257,951,745,631,459,294,837,220,110,237,537,556,209,805,270,688,
841,366,523,843,709,051,071,043,506,923,977,113,379,494,540,674,223,689,349,
656,411,670,616,125,185,772,832,297,900,806,132,996,583,416,685,809,296,165,
966,984,166,352,172,104,112,520,659,472,667,002,471,020,627,772,610,700,943,
068,603,972,197,762,248,452,999,051,015,749,681,000,640,236,219,293,138,046,
400,628,328,246,698,442,014,380,474,300,478,691,475,185,772,124,874,445,502,
442,701,026,709,098,327,140,563,609,263,601,622,626,054,525,465,153,061,051,
686,346,886,070,101,952,213,823,004,484,125,917,298,340,289,477,968,044,636,
933,922,487,090,766,899,503,272,281,960,464,936,173,899,530,105,526,500,750,
561,914,355,448,963,016,213,771,755,280,323,869,598,180,546,454,538,807,878,
824,765,362,899,066,527,128,869,897,294,544,843,236,873,710,756,206,420,330,
527,408,377,561,589,105,665,697,694,086,327,345,407,368,408,449,065,267,123,
364,172,551,623,050,725,171,684,699,590,372,942,472,188,408,829,085,804,106,
713,567,225,767,787,610,717,225,089,041,094,119,702,411,790,923,082,428,109,
487,795,554,343,119,663,760,498,460,822,373,080,492,411,274,046,920,691,147,
082,397,003,819,297,536,609,095,321,721,732,269,761,740,227,921,371,785,565,
239,869,850,402,473,759,518,130,614,909,075,612,668,708,232,325,188,376,231,
810,823,440,315,853,638,459,953,198,181,394,710,396,777,141,113,914,744,838,
019,829,195,558,069,614,570,777,670,673,310,837,886,131,195,678,796,515,257,
853,297,679,091,116,588,276,402,901,185,419,919,250,931,064,193,264,884,545,
087,382,388,894,400,841,606,723,642,832,953,130,868,078,019,003,757,889,669,
440,994,706,032,310,152,423,084,674,392,779,230,973,835,465,374,438,437,660,
098,408,115,141,772,597,925,546,711,701,789,880,419,732,274,037,484,998,364,
437,670,022,554,267,769,730,737,598,705,017,570,717,858,617,015,463,247,731,
399,263,589,103,266,991,468,674,052,076,933,611,747,910,895,475,173,523,815,
536,124,381,730,907,169,932,526,251,273,054,727,745,420,129,865,849,568,903,
335,512,911,657,702,976,972,535,554,437,754,562,564,481,175,684,969,080,544,
035,739,447,063,644,978,049,116,366,537,411,749,014,116,796,796,895,694,093,
067,546,636,714,561,838,877,191,701,217,068,628,030,614,389,043,081,633,140,
181,045,907,308,377,788,502,799,455,514,503,359,043,113,874,918,773,608,337,
337,935,177,918,630,830,301,799,969,278,510,401,145,036,153,865,184,982,352,
922,436,345,994,702,373,419,277,787,409,162,299,128,088,147,134,634,348,358,
847,486,383,490,487,210,146,228,278,546,615,107,508,289,783,022,954,158,479,
090,156,913,461,617,713,977,615,907,449,657,812,647,478,229,804,889,102,244,
642,141,455,493,292,445,962,923,906,905,589,403,287,024,943,499,465,873,448,
346,305,386,326,536,130,042,014,361,927,088,716,524,785,969,991,079,184,751,
969,022,492,230,978,963,005,859,484,897,445,749,827,173,548,433,378,224,743,
314,577,936,153,231,121,328,347,354,064,724,782,975,473,756,282,418,723,045,
511,900,307,011,961,562,178,967,345,258,870,043,576,787,081,315,881,515,263,
964,566,735,810,246,939,124,870,589,175,278,428,442,748,108,609,898,586,611,
599,533,448,802,311,309,826,924,956,352,049,939,069,696,307,925,823,340,235,
627,010,216,484,198,311,762,828,975,728,653,133,136,905,430,435,525,213,707,
464,437,321,855,575,304,176,910,915,114,347,749,794,091,312,536,859,008,625,
335,276,778,318,139,458,519,488,540,611,558,786,058,141,977,146,369,622,430,
679,539,563,226,515,148,570,638,932,376,171,067,487,591,322,850,774,714,594,
011,580,314,091,767,396,224,167,455,054,218,784,294,517,464,605,973,662,373,
737,236,537,648,377,139,981,279,541,480,651,640,069,087,318,343,428,457,201,
264,978,447,705,175,359,679,839,692,569,172,447,686,148,950,909,585,426,701,
069,327,855,125,556,753,002,807,522,400,585,797,685,743,938,863,554,231,383,
961,998,774,680,382,117,357,068,405,955,737,139,989,454,691,878,719,048,296,
597,653,535,647,810,338,761,021,797,098,729,681,632,531,805,100,661,684,360,
923,389,521,165,984,965,757,710,854,268,188,874,189,711,903,941,934,012,474,
632,100,004,576,451,898,223,926,232,831,383,977,919,618,412,782,177,134,136,
309,132,438,674,764,689,136,457,386,953,184,624,393,089,526,184,104,222,449,
407,842,150,784,095,958,168,070,134,151,018,529,880,411,620,842,703,209,311,
677,775,394,919,932,054,854,555,675,676,256,436,387,610,094,387,828,040,610,
540,320,360,233,760,044,351,311,713,675,974,480,966,477,214,915,542,738,689,
849,868,606,118,465,242,377,311,414,351,773,270,756,262,090,329,271,978,596,
304,160,570,436,411,101,104,307,605,394,891,186,016,128,706,389,719,335,505,
482,796,712,834,826,492,891,808,107,162,125,357,687,576,905,153,762,363,761,
535,070,980,761,096,719,515,179,305,571,119,575,643,592,604,516,019,580,877,
869,044,371,310,082,374,962,040,778,175,269,311,245,518,017,916,254,415,462,
493,934,370,914,933,885,643,176,910,656,455,774,995,470,110,310,608,392,512,
527,662,191,269,807,801,710,584,769,560,854,663,544,522,238,284,843,100,419,
430,833,747,121,182,133,498,254,696,833,112,662,995,863,659,168,101,264,866,
827,570,241,117,313,460,833,902,525,103,722,526,952,958,727,518,675,684,212,
759,218,010,004,966,175,208,418,316,787,483,717,132,713,721,903,985,725,824,
407,755,012,034,399,463,276,353,216,826,355,135,956,267,029,038,008,710,043,
408,214,816,519,640,365,792,480,714,764,608,161,486,682,098,119,966,759,555,
163,221,639,147,190,368,660,856,575,788,446,050,467,410,698,838,508,769,719,
545,522,886,672,025,071,233,611,521,149,826,015,716,150,310,128,544,791,008,
096,982,889,724,894,301,739,537,014,313,162,841,082,756,564,670,954,753,439,
297,797,705,761,479,027,331,929,985,916,675,654,051,606,606,593,242,290,913,
682,139,113,802,897,883,969,193,310,153,989,791,510,527,419,122,826,837,254,
440,849,291,720,393,558,167,832,869,523,587,627,770,038,861,375,385,164,385,
206,577,341,087,829,732,188,660,493,058,812,579,905,420,644,921,762,410,723,
332,619,954,703,576,662,624,469,063,965,179,520,024,709,106,663,884,346,808,
573,299,917,359,075,516,954,869,309,937,421,672,133,751,877,436,274,263,028,
135,764,730,712,470,500,700,481,525,721,252,281,089,604,758,934,006,205,992,
033,742,704,110,417,101,002,002,785,950,957,744,648,259,367,631,770,541,697,
381,436,409,517,194,645,163,796,178,234,125,840,287,393,005,137,801,905,794,
260,238,634,718,339,781,759,116,961,797,105,273,180,740,127,788,374,511,739,
775,640,360,736,053,560,926,233,532,399,872,751,152,435,285,543,397,751,873,
666,680,526,580,445,894,141,506,724,996,285,953,643,609,094,693,138,119,288,
240,190,452,098,463,418,523,419,223,133,737,235,624,056,689,750,571,883,298,
297,561,478,662,239,953,811,517,322,966,789,835,492,787,363,063,426,249,417,
237,942,245,075,399,459,632,240,589,467,904,677,915,798,434,467,063,830,049,
824,004,782,411,391,786,378,998,545,929,206,362,654,182,661,631,530,876,969,
739,556,832,227,062,440,302,671,144,864,065,132,146,733,570,649,637,090,513,
949,005,919,486,751,058,986,309,665,799,549,063,934,321,380,432,645,645,713,
323,559,200,361,236,805,567,958,125,945,890,498,851,796,667,402,743,512,833,
830,450,531,215,622,149,590,958,867,741,258,990,966,243,344,541,571,347,466,
190,297,807,717,703,535,715,677,923,797,062,558,146,112,936,677,460,060,211,
153,763,007,713,737,905,962,654,284,287,505,718,667,035,991,298,338,246,038,
977,050,272,469,245,604,360,972,568,984,849,240,967,302,488,288,111,111,092,
943,102,848,936,434,069,076,405,407,613,022,791,291,463,865,041,461,746,698,
553,390,141,224,221,589,552,201,765,479,382,090,419,295,586,556,821,289,093,
213,978,106,086,845,128,833,448,338,854,211,300,901,587,623,577,481,761,913,
927,663,295,351,541,251,076,501,356,056,455,922,168,273,874,809,495,513,483,
360,474,948,857,192,886,291,237,546,040,175,972,985,626,677,366,863,776,083,
764,250,893,585,150,135,705,786,524,074,248,171,697,467,046,552,179,219,382,
701,251,334,264,213,001,107,018,426,453,213,606,300,484,292,489,435,432,985,
489,226,909,326,757,203,608,401,378,244,762,447,289,445,547,820,698,205,784,
440,643,041,438,513,613,538,311,539,396,493,080,215,301,729,118,528,742,501,
877,413,726,535,013,650,031,753,861,557,306,981,411,360,329,531,922,650,685,
119,550,610,117,343,899,367,306,107,654,151,487,877,444,854,489,040,407,794,
269,274,563,483,141,265,134,856,523,915,183,511,573,181,270,713,271,441,111,
692,520,182,149,043,200,698,061,312,168,462,330,329,228,845,164,340,496,125,
144,783,371,264,692,593,241,043,154,964,223,387,397,970,462,287,499,889,084,
558,823,118,121,032,379,577,333,452,424,904,620,123,703,242,892,120,152,966,
550,374,962,918,774,379,343,182,462,735,672,899,407,639,557,301,428,180,282,
922,442,364,985,179,932,813,532,184,351,871,196,752,956,736,577,132,264,017,
704,938,278,974,404,820,669,763,509,124,094,530,173,539,194,208,939,983,900,
888,692,171,408,754,778,359,080,323,647,006,913,643,038,061,833,286,255,769,
290,576,527,755,086,833,202,627,722,886,494,748,343,542,977,281,874,241,988,
564,743,996,934,988,933,738,621,227,094,636,221,094,345,183,282,933,624,436,
076,543,519,770,036,901,907,902,122,265,069,354,851,489,489,730,935,922,194,
152,497,869,213,779,124,761,296,991,178,272,359,371,992,206,745,239,137,993,
529,099,777,234,320,614,802,498,384,232,251,942,577,713,620,531,169,282,282,
304,904,656,807,511,246,614,071,887,802,895,869,196,638,666,485,315,586,389,
631,047,812,161,609,148,530,065,488,438,027,218,448,627,625,211,538,629,804,
007,679,040,117,983,949,981,787,163,161,286,452,723,704,351,799,279,748,991,
245,066,284,522,241,459,729,038,538,495,503,666,857,319,171,363,365,175,753,
401,713,453,239,393,273,347,654,530,366,226,076,872,113,315,384,973,588,392,
314,438,586,203,263,788,516,313,336,631,606,598,029,855,530,532,643,327,950,
055,729,457,901,246,378,192,933,395,080,152,693,965,681,560,667,978,396,830,
858,512,387,503,087,510,590,969,582,233,642,138,475,631,913,454,044,375,205,
464,571,580,287,706,311,868,472,466,119,002,479,209,592,471,246,261,791,831,
475,132,838,837,751,865,541,969,990,372,141,688,537,797,957,919,621,732,579,
607,603,117,847,939,784,565,210,236,402,758,516,537,804,351,669,075,475,703,
181,700,494,748,384,867,531,680,254,833,422,029,865,582,882,733,609,183,407,
276,652,566,148,118,747,924,887,656,858,765,060,664,934,935,697,765,416,720,
494,500,874,093,415,640,073,346,380,034,299,469,072,756,831,174,468,132,647,
492,843,631,100,790,721,020,847,380,395,178,840,543,712,514,053,591,951,720,
008,114,745,819,762,447,523,104,742,093,574,820,353,422,105,052,141,479,058,
498,940,460,604,302,292,911,780,465,356,101,269,736,201,641,785,581,213,568,
943,041,396,221,742,008,543,175,095,426,146,581,801,968,696,306,267,064,331,
394,731,251,741,534,875,308,291,832,487,450,370,312,800,594,144,249,194,006,
893,475,216,832,320,666,877,665,683,999,168,826,347,226,171,600,022,766,314,
775,608,888,634,474,162,828,904,926,896,093,673,180,311,136,114,289,668,172,
542,685,700,481,442,095,927,307,987,453,258,456,753,882,229,655,606,729,905,
514,618,468,221,534,144,874,921,668,503,708,154,483,571,338,384,162,461,603,
042,404,648,883,380,769,177,580,430,807,750,583,409,483,095,424,108,166,343,
711,195,317,082,845,163,650,425,772,358,117,300,790,584,548,614,134,655,546,
430,242,818,203,715,505,826,435,760,329,874,400,331,184,716,596,268,220,119,
202,778,884,393,555,019,129,849,689,239,021,061,479,263,004,041,528,819,305,
675,789,450,861,898,603,580,482,367,252,546,125,720,833,696,724,980,031,749,
341,619,396,711,002,502,207,069,553,024,179,008,173,980,487,882,985,688,988,
301,131,613,226,537,316,024,100,444,879,538,392,421,523,834,235,906,532,420,
994,650,867,762,608,894,721,815,208,708,634,096,955,366,557,362,853,429,574,
687,480,721,305,240,294,138,686,289,300,823,941,076,495,365,564,342,050,629,
647,068,128,183,508,551,584,818,388,466,094,355,279,918,679,381,650,808,515,
498,198,432,571,078,469,842,661,041,487,280,709,717,089,542,376,352,274,474,
754,129,428,018,168,497,216,276,488,794,207,240,087,550,138,378,342,345,381,
257,956,920,348,787,169,546,832,691,325,812,232,638,682,914,851,423,313,167,
396,083,761,551,232,777,447,485,266,731,616,258,288,508,741,428,375,679,202,
393,722,470,941,035,460,395,435,597,451,471,009,634,803,691,634,404,240,421,
371,877,537,681,929,946,582,311,574,862,965,855,887,517,246,266,799,472,137,
307,791,928,791,820,846,672,027,688,729,581,413,987,754,938,807,406,492,781,
927,122,556,899,798,316,781,856,630,567,838,111,358,819,892,639,050,177,537,
869,258,878,729,536,820,155,017,119,995,113,700,962,374,766,034,250,858,874,
778,699,790,906,904,291,198,959,557,894,002,810,246,777,230,104,739,900,643,
770,117,785,505,506,309,337,371,389,191,482,188,837,098,167,887,173,939,148,
148,833,481,854,956,926,549,138,553,914,187,877,598,095,305,412,015,998,565,
323,462,498,009,581,427,238,706,292,753,258,000,503,938,482,365,843,471,757,
467,794,105,229,220,948,493,212,016,720,406,227,902,707,331,481,888,204,243,
390,695,393,242,521,560,765,080,597,012,099,214,422,347,719,098,111,213,803,
322,195,235,713,197,552,024,277,944,594,304,050,813,632,507,914,618,586,605,
322,712,058,302,486,185,516,308,417,722,710,603,699,141,268,849,137,745,158,
016,139,140,699,875,653,685,167,205,548,838,778,216,545,395,888,782,846,410,
832,632,047,175,646,166,757,350,408,320,177,042,612,814,489,354,337,874,386,
214,854,416,145,470,684,913,674,754,734,240,086,231,261,982,444,785,552,576,
894,642,720,915,755,468,886,127,044,043,353,070,651,264,691,145,703,749,456,
735,911,115,316,847,535,294,794,151,619,897,417,228,196,962,996,702,306,718,
863,978,689,250,450,593,606,465,367,837,589,862,979,279,242,723,665,705,143,
251,855,886,018,196,226,370,608,354,929,490,217,622,229,285,645,137,815,406,
740,107,607,230,548,875,367,939,883,876,328,780,157,067,965,842,144,204,374,
086,155,244,591,250,324,714,463,435,733,466,854,433,990,688,302,112,595,308,
905,607,895,924,550,098,795,354,442,785,952,992,414,753,588,225,944,625,270,
983,842,982,559,704,969,658,809,255,539,436,181,991,273,720,136,193,376,244,
820,965,323,983,311,478,588,518,528,263,345,510,923,559,622,052,933,335,862,
438,825,851,216,442,423,870,127,679,179,065,651,799,688,059,830,466,419,304,
313,237,670,532,520,150,234,656,274,362,920,525,141,102,822,449,072,905,862,
173,531,193,647,408,045,562,169,060,081,671,720,151,290,769,487,488,961,715,
729,959,157,241,459,048,495,105,686,953,836,474,114,746,429,932,227,876,562,
080,259,078,810,075,867,950,112,609,343,821,472,704,711,503,739,346,036,571,
826,270,471,182,965,911,443,934,795,623,086,316,289,718,203,003,247,279,132,
212,652,822,645,063,144,210,448,486,185,667,238,822,813,725,436,331,407,427,
004,351,399,287,304,606,233,980,674,145,727,148,778,241,252,413,711,423,773,
135,001,994,741,667,758,602,609,037,734,743,660,121,764,497,303,034,489,280,
987,422,212,014,129,511,019,203,362,479,148,403,560,055,958,411,483,980,471,
404,503,900,588,366,002,210,554,943,640,692,840,934,897,893,760,046,104,031,
862,944,098,484,887,686,885,033,544,638,621,333,525,603,498,459,910,205,987,
733,134,807,154,791,976,485,713,992,916,826,250,247,413,038,203,907,494,327,
877,828,162,500,782,021,431,267,574,459,150,220,449,707,410,084,150,928,071,
632,871,941,185,066,500,460,402,382,768,375,108,517,269,018,230,874,449,646,
745,284,880,289,128,679,809,915,812,372,652,357,979,288,309,162,812,933,076,
677,334,696,099,475,143,919,947,338,969,716,988,218,108,484,565,882,992,375,
033,928,897,096,636,269,626,710,910,574,246,230,161,199,543,121,563,627,028,
900,510,201,852,447,564,825,788,902,276,695,409,339,615,615,909,721,378,758,
846,080,835,672,601,532,783,661,809,728,308,981,038,806,222,421,403,105,622,
068,374,358,319,197,640,020,323,826,335,856,149,329,111,780,752,612,509,076,
910,956,834,485,412,538,093,903,485,834,058,487,099,261,030,561,931,561,246,
788,821,017,471,098,056,933,173,219,224,437,266,417,552,652,199,598,518,322,
699,684,977,935,986,227,546,504,069,999,151,777,776,030,798,407,771,988,033,
427,836,699,213,351,857,340,447,962,774,631,052,802,926,578,376,488,553,891,
410,493,804,917,532,362,218,344,098,539,760,329,883,453,265,970,829,969,580,
056,442,131,209,506,692,934,691,197,878,775,227,145,043,554,499,528,450,495,
921,423,230,166,304,715,304,901,201,204,458,852,597,629,186,151,145,749,893,
173,650,625,836,105,611,367,805,562,548,988,066,418,584,498,569,905,212,015,
441,096,687,168,809,966,492,812,423,774,414,052,530,011,735,989,790,685,120,
618,790,000,690,859,271,443,732,179,728,419,437,407,199,499,737,716,864,902,
310,109,768,671,229,476,636,363,504,321,983,481,621,161,091,780,307,793,122,
136,956,737,602,553,953,107,833,755,173,233,803,514,961,682,426,919,061,251,
548,928,443,003,547,166,307,329,231,419,925,245,864,867,442,923,120,768,849,
749,934,879,094,291,743,541,981,992,779,806,856,824,854,004,435,098,538,328,
255,826,081,335,816,315,845,390,605,078,868,201,784,011,165,347,965,954,115,
624,987,332,863,314,650,750,107,565,740,787,538,495,226,139,031,586,533,114,
502,621,780,097,549,213,166,598,656,496,363,733,201,380,803,619,064,280,139,
859,110,406,630,052,854,193,753,269,727,562,896,795,714,862,300,857,391,540,
484,169,459,863,767,342,744,239,848,816,800,412,290,277,451,135,240,132,508,
010,132,600,669,702,720,857,388,415,292,488,533,657,820,490,414,046,348,357,
850,077,706,845,030,869,987,460,952,219,796,834,989,094,021,720,337,423,645,
561,897,579,428,346,256,016,879,953,442,120,282,624,603,950,706,063,195,657,
595,106,877,772,973,751,647,779,549,898,385,660,559,378,107,052,163,319,556,
824,216,001,158,432,722,419,919,958,353,776,377,048,091,519,911,256,910,911,
256,546,395,723,726,607,061,132,217,135,316,679,432,930,699,512,991,542,252,
586,904,622,618,270,767,594,628,659,336,524,624,650,401,661,939,822,133,428,
387,402,867,337,748,102,055,976,845,897,330,596,819,792,747,573,918,096,685,
465,070,903,024,260,450,178,952,405,427,958,305,353,031,868,331,436,977,279,
268,991,656,144,974,263,699,744,288,132,380,740,212,402,860,298,090,886,063,
203,840,329,692,369,645,747,019,081,895,818,315,935,382,023,637,835,200,328,
644,941,181,444,181,313,376,982,737,395,635,254,856,422,160,559,739,688,854,
493,917,684,906,361,837,117,098,558,580,368,252,388,553,690,576,054,938,887,
332,811,297,263,979,792,349,892,930,894,005,792,031,060,543,372,182,187,519,
782,007,512,289,163,054,529,186,304,179,871,920,162,445,980,608,359,683,195,
376,065,802,718,674,506,090,854,095,318,685,657,211,759,163,044,568,799,198,
437,870,959,812,194,697,351,954,832,414,495,314,960,095,815,082,502,450,461,
319,507,694,148,670,500,158,519,257,077,199,086,542,312,147,630,434,991,178,
951,939,220,080,639,765,632,226,161,683,904,652,932,368,691,691,711,485,288,
089,166,092,697,987,280,094,204,504,652,780,424,848,614,479,422,810,984,424,
286,586,748,109,944,059,408,790,445,020,525,526,613,122,043,652,477,911,782,
879,485,184,110,470,293,811,322,055,406,893,642,147,390,177,921,592,430,958,
008,181,230,427,150,248,406,263,816,466,491,567,251,249,216,597,939,176,630,
109,369,245,115,458,337,216,457,591,488,286,321,491,023,222,528,807,471,709,
800,260,411,095,583,570,199,139,077,772,276,159,516,795,028,481,553,060,294,
996,512,778,251,561,711,991,511,620,984,072,713,067,926,204,592,772,150,321,
713,396,925,065,969,624,136,077,884,681,388,373,276,062,818,052,953,696,138,
494,937,335,960,272,654,144,228,214,253,757,951,178,871,014,664,383,957,109,
755,077,481,223,769,256,470,024,120,105,943,622,436,773,362,284,226,048,313,
951,104,170,020,203,642,126,827,950,638,597,382,345,961,975,130,928,716,873,
275,740,081,120,949,114,578,985,912,914,944,254,789,870,452,696,153,857,374,
494,439,439,194,921,908,993,128,179,289,038,967,018,229,341,591,072,665,326,
187,082,195,222,300,658,093,839,456,906,069,728,288,813,574,790,012,907,810,
088,915,945,081,482,815,550,038,087,283,673,382,494,838,170,395,196,387,639,
024,623,817,845,838,555,684,035,071,883,899,378,977,813,737,043,674,441,394,
588,206,557,317,068,185,662,908,209,024,749,685,808,159,078,241,881,342,204,
073,409,167,257,537,727,024,476,755,516,183,634,459,320,823,212,268,053,747,
594,138,656,510,741,850,110,886,747,726,264,676,978,648,260,776,993,003,004,
355,301,335,000,528,406,925,761,595,594,882,842,721,367,730,537,141,245,876,
044,344,639,005,736,220,757,262,789,973,193,866,697,655,135,916,985,359,246,
846,106,281,088,041,457,620,369,448,946,283,597,482,578,253,969,456,177,661,
206,318,439,518,938,809,763,694,880,816,260,963,082,756,631,308,104,557,547,
849,107,562,602,343,239,833,894,061,498,610,093,106,828,109,479,736,477,149,
793,035,731,429,965,998,717,241,347,648,257,343,711,566,034,220,369,538,368,
080,690,830,693,269,337,900,375,436,688,184,721,934,272,642,051,432,847,186,
721,852,783,266,786,011,445,331,127,511,722,678,573,799,136,804,063,592,289,
695,399,355,873,436,212,206,854,544,301,887,987,593,636,520,195,262,623,899,
907,054,097,981,798,912,804,037,017,886,537,231,438,516,771,690,734,046,056,
216,647,238,566,599,902,808,487,182,078,246,788,334,505,780,736,292,548,416,
363,892,294,390,407,569,551,954,526,212,878,256,902,817,634,545,260,981,657,
204,360,513,023,859,761,564,270,736,715,119,013,994,049,189,683,733,250,275,
582,579,560,022,909,658,557,860,518,696,147,743,641,013,122,887,266,664,455,
347,146,917,822,373,329,875,071,233,256,480,369,277,257,376,526,087,926,461,
797,594,774,110,063,947,201,612,130,773,542,186,831,938,925,478,424,451,366,
927,382,242,540,338,162,948,099,146,210,376,176,243,833,264,057,168,419,245,
156,452,219,851,425,478,980,740,457,121,817,033,235,583,082,246,976,595,658,
331,268,316,735,940,791,540,074,854,278,176,734,225,473,595,716,322,847,872,
484,850,413,957,475,027,193,345,133,012,637,630,772,310,493,236,751,870,518,
709,868,154,210,388,726,628,988,297,323,330,355,599,375,323,773,059,618,466,
122,763,604,965,277,285,562,991,041,125,771,755,926,040,594,520,169,543,880,
092,282,928,013,887,440,416,498,625,425,814,415,079,462,589,749,143,970,229,
162,720,132,836,621,248,492,485,023,604,524,293,361,491,587,176,464,923,915,
676,915,068,596,290,076,265,833,046,622,204,517,247,832,899,870,397,819,081,
382,441,367,973,900,431,064,123,193,827,077,502,701,836,141,446,970,715,296,
625,507,373,536,297,202,914,123,269,256,454,098,656,763,031,770,441,379,259,
458,405,534,437,059,593,349,619,520,756,229,241,817,856,749,185,082,628,545,
860,033,863,078,941,493,892,732,660,667,243,213,613,387,257,732,229,952,303,
094,520,055,829,542,853,722,644,001,526,563,001,581,727,965,084,748,386,231,
906,171,003,148,687,234,180,812,678,044,608,664,597,101,367,043,127,508,960,
435,676,522,261,244,620,633,447,301,246,080,431,935,184,707,199,401,650,034,
439,727,412,960,348,445,648,419,676,406,153,652,538,535,459,478,105,932,491,
049,771,557,393,502,076,787,480,613,637,068,327,566,254,407,818,079,555,931,
911,251,594,714,421,859,859,269,083,197,872,916,316,389,372,026,017,168,605,
588,373,763,848,291,608,646,299,602,088,793,695,644,076,630,073,954,962,905,
882,781,324,607,982,173,207,043,023,299,620,916,815,371,688,945,669,152,761,
891,926,037,701,447,435,363,992,099,780,495,643,581,728,355,657,018,838,538,
346,770,253,719,118,623,237,007,219,460,055,190,032,881,953,178,081,976,130,
692,508,383,352,163,355,282,888,661,335,122,161,804,811,687,056,521,982,783,
084,688,955,333,835,532,979,636,334,877,408,264,058,252,186,301,045,514,001,
429,829,456,309,733,411,505,769,532,060,443,902,681,797,036,225,394,397,693,
441,519,162,583,087,512,948,301,449,162,197,723,480,180,363,578,260,814,652,
554,445,430,908,512,364,315,644,009,227,315,516,321,725,074,233,273,531,138,
270,092,690,061,863,694,356,173,783,510,531,826,297,736,346,069,609,397,219,
982,285,405,659,087,348,682,014,403,306,362,659,127,488,861,099,147,141,356,
179,896,193,893,677,724,407,067,695,833,151,115,090,321,550,716,970,275,560,
415,390,730,884,098,711,021,759,339,632,108,794,044,082,236,332,895,112,928,
679,400,906,130,028,940,458,686,285,185,158,731,834,194,407,140,573,206,913,
761,279,160,738,555,669,006,141,732,420,308,434,832,817,699,593,268,781,015,
794,140,529,944,385,194,084,403,087,630,694,416,706,208,821,388,066,154,569,
453,861,987,236,534,223,598,808,567,575,468,658,450,529,044,755,768,935,387,
750,425,537,311,403,132,092,503,665,030,347,656,200,264,143,266,486,708,352,
558,857,749,100,472,694,396,845,662,849,449,122,885,436,681,548,498,949,277,
875,662,675,101,928,571,743,835,919,988,852,750,393,861,821,217,244,863,605,
505,574,806,972,633,391,747,800,293,085,367,731,122,320,431,363,510,578,377,
997,280,057,983,684,177,585,131,241,388,086,157,382,432,122,911,716,727,304,
045,745,180,825,733,082,853,444,697,352,471,225,260,890,490,384,324,624,690,
306,963,990,893,219,213,708,195,690,025,039,071,039,618,720,051,181,726,708,
873,630,235,608,357,376,992,032,214,175,947,249,328,301,651,454,335,120,901,
036,818,888,998,548,668,830,038,979,440,293,183,814,604,657,820,814,508,345,
420,519,918,121,951,730,988,932,429,569,650,079,460,525,541,621,703,850,367,
032,399,781,947,150,377,131,204,143,491,383,192,243,380,120,748,060,632,756,
323,471,234,630,609,299,471,947,013,364,832,424,377,701,571,967,386,330,465,
190,256,754,836,686,496,513,672,686,985,900,434,579,799,927,784,782,135,271,
802,591,800,231,798,045,466,966,259,961,054,159,738,757,622,364,244,691,068,
639,760,216,695,337,465,525,259,723,090,366,681,679,096,443,336,704,434,305,
352,028,235,518,302,629,435,328,891,626,557,391,482,045,840,326,250,177,891,
119,418,214,735,208,546,622,864,247,924,077,299,392,448,463,864,402,681,540,
642,176,629,107,054,731,360,236,045,883,550,316,034,032,164,843,795,681,625,
096,098,200,477,128,429,922,777,825,290,392,597,359,591,481,786,582,638,477,
369,145,275,799,824,708,276,261,996,412,664,189,676,663,073,855,055,792,598,
794,583,328,497,290,922,585,827,804,414,316,656,337,006,553,021,721,412,113,
988,119,529,931,757,646,512,874,624,662,909,210,516,105,754,636,975,625,864,
433,313,159,141,186,635,254,890,259,201,165,263,743,305,139,977,218,481,178,
673,789,390,841,631,548,733,377,014,247,706,528,858,453,654,891,448,605,107,
887,029,784,055,631,838,637,432,475,807,714,977,117,868,115,948,172,567,695,
708,132,178,109,091,037,425,577,332,734,197,005,220,212,847,345,442,809,454,
828,002,475,858,563,672,455,916,802,848,326,325,743,496,040,932,936,684,680,
796,271,225,527,215,870,915,694,039,524,906,997,092,999,519,486,945,995,066,
189,905,109,233,614,532,478,814,859,370,440,449,617,255,151,421,056,794,222,
517,551,326,015,957,033,341,591,964,196,579,497,458,184,659,046,063,982,813,
447,807,944,242,590,015,254,004,904,705,786,272,311,242,668,573,703,904,681,
288,650,519,317,583,479,529,375,003,386,643,662,685,357,384,982,754,070,507,
315,608,074,906,470,927,121,312,587,769,000,639,763,631,293,975,657,866,853,
475,289,695,133,918,368,726,607,875,943,761,994,662,090,754,644,556,948,941,
542,698,440,231,050,349,821,228,169,727,188,681,031,965,864,873,110,779,732,
883,221,639,825,902,663,623,735,077,101,472,329,073,619,444,108,737,806,714,
241,340,543,739,403,796,625,440,735,496,713,143,013,644,061,831,752,965,504,
798,888,411,683,108,510,987,638,998,767,127,970,880,151,564,611,200,752,478,
847,293,252,619,158,984,597,117,918,858,283,141,104,726,770,285,478,596,350,
196,655,463,839,250,149,431,586,086,416,755,010,382,470,382,702,336,606,853,
389,918,513,679,665,339,632,890,668,040,949,018,940,867,042,065,734,597,538,
198,270,386,310,591,300,830,840,657,185,767,644,936,001,351,418,965,125,528,
105,615,809,552,753,541,133,439,425,745,530,285,910,613,430,658,814,778,261,
956,938,878,730,524,357,653,599,217,144,952,105,986,300,676,583,956,660,898,
809,794,937,593,470,853,994,690,148,655,714,674,544,091,970,935,518,280,270,
632,895,871,824,170,596,228,970,418,310,944,387,838,221,183,858,597,679,389,
678,499,764,754,921,647,826,431,548,951,020,594,052,321,324,494,804,460,873,
970,594,140,860,565,349,581,771,423,017,965,689,028,548,677,792,076,110,415,
239,250,532,825,396,898,028,023,081,004,284,891,133,327,666,451,610,095,790,
767,381,830,311,344,388,035,413,754,781,307,876,816,843,166,282,903,103,917,
360,956,774,759,458,624,608,176,973,932,016,040,386,173,649,302,373,123,101,
766,344,984,968,371,311,582,434,314,510,632,830,868,788,872,389,567,971,513,
260,063,886,485,383,614,069,511,958,827,163,487,118,190,218,225,868,738,396,
407,063,542,147,695,282,774,674,245,642,929,830,684,469,171,134,007,171,006,
421,674,521,555,239,780,981,931,106,498,937,772,045,024,397,488,370,534,962,
153,945,314,924,073,587,148,069,734,360,743,334,746,318,681,207,931,506,900,
797,450,588,434,284,776,525,846,169,664,122,429,002,755,573,848,138,434,684,
100,475,173,423,408,462,006,595,087,457,411,665,937,794,753,677,797,152,736,
967,756,738,189,624,793,576,815,272,829,023,924,145,751,075,976,938,359,130,
135,082,511,758,227,140,961,958,263,897,257,781,461,894,033,668,661,818,905,
442,742,166,584,881,116,668,953,024,442,017,096,660,686,748,887,659,107,826,
819,742,851,797,337,657,258,133,724,735,402,145,406,309,247,121,331,466,824,
840,330,916,904,992,883,101,744,412,747,906,827,000,145,995,500,526,183,405,
674,075,422,445,953,179,585,344,437,990,094,152,686,638,531,406,397,991,903,
868,963,318,868,999,176,331,293,793,363,058,738,811,617,917,515,097,710,162,
469,652,254,704,986,452,514,380,023,819,971,873,570,370,576,415,763,151,143,
043,708,160,805,790,545,983,692,121,567,189,086,458,997,616,408,704,285,008,
413,656,434,113,434,920,008,547,227,638,727,081,637,262,365,352,704,498,854,
136,555,660,067,770,727,863,774,905,582,095,841,165,880,751,721,890,354,434,
088,045,440,032,008,062,417,755,927,676,393,743,570,168,892,366,210,306,803,
287,610,784,347,266,149,476,148,553,078,968,273,216,930,327,431,253,458,702,
917,004,653,393,459,025,098,082,361,172,277,778,944,382,360,369,055,410,655,
473,670,587,380,069,427,872,275,556,220,829,992,640,767,059,052,778,593,865,
850,221,063,838,688,592,630,012,837,133,832,341,259,634,206,001,328,819,697,
111,681,333,588,761,763,990,037,237,087,648,757,029,920,882,512,408,218,004,
831,433,800,079,206,616,056,273,483,385,478,219,992,210,238,752,596,209,921,
394,862,739,966,840,328,627,021,493,054,274,303,170,109,523,052,106,828,709,
602,446,364,989,391,814,091,649,182,200,541,342,932,130,002,634,889,767,116,
334,073,115,962,454,304,744,488,456,254,020,424,687,253,625,347,446,883,178,
472,072,158,569,285,699,014,812,498,471,615,420,217,418,969,242,695,193,858,
548,635,587,404,961,759,814,196,632,674,625,938,285,012,517,218,117,612,871,
261,705,703,034,584,380,580,874,481,428,553,776,828,241,788,966,935,758,594,
023,505,496,882,746,305,319,527,198,129,964,358,955,172,372,658,261,463,791,
776,149,156,847,006,729,466,626,038,588,006,315,085,461,196,215,375,154,167,
076,308,281,486,901,713,965,303,678,610,203,987,652,370,589,845,150,573,624,
170,982,915,412,068,939,926,351,994,155,703,104,042,972,004,630,918,880,544,
636,660,383,779,697,220,983,849,333,402,963,938,029,824,195,328,495,776,950,
025,734,188,229,703,273,082,940,432,164,048,876,507,704,416,516,050,299,635,
767,592,143,869,462,084,627,900,191,550,883,830,076,986,841,473,081,405,067,
455,499,209,841,004,822,007,731,263,527,225,087,806,619,087,171,498,970,081,
249,121,303,812,064,772,147,537,052,992,968,479,505,110,957,846,624,430,669,
218,381,531,237,485,218,593,930,325,190,823,191,199,845,254,964,044,151,841,
063,759,399,007,608,839,528,847,683,273,368,562,781,734,077,515,911,092,495,
711,820,031,411,375,790,174,651,589,224,154,074,177,618,680,192,959,098,889,
078,737,826,323,593,936,659,245,798,844,311,909,275,774,071,313,460,278,293,
466,189,275,533,340,353,915,604,888,395,680,700,916,541,608,771,870,681,767,
886,000,231,740,784,436,029,101,911,499,920,631,301,060,576,131,781,107,550,
402,835,462,825,699,183,288,436,986,236,447,844,175,839,036,817,396,366,260,
337,519,310,790,978,087,630,776,371,634,285,147,697,931,085,627,240,330,366,
696,519,669,212,106,981,084,985,628,885,082,383,197,905,537,099,576,081,161,
429,602,315,461,645,822,694,164,717,349,564,269,209,676,199,280,310,270,946,
465,029,473,457,405,262,984,758,697,565,977,178,258,963,953,205,213,796,425,
899,996,231,541,816,136,553,919,617,999,919,374,474,171,252,699,313,021,483,
162,196,059,772,865,816,457,020,895,794,373,432,520,378,740,877,433,756,025,
016,694,538,207,257,554,233,658,235,219,941,706,123,219,247,518,090,990,271,
742,870,609,539,561,855,142,051,771,297,979,151,588,843,559,194,418,510,817,
958,702,948,968,087,652,518,410,289,190,204,966,048,040,275,932,205,927,832,
202,979,506,968,206,249,362,641,069,611,483,887,796,387,809,546,135,090,035,
121,729,243,943,429,344,981,244,590,931,365,486,834,368,534,349,763,001,633,
458,419,933,468,379,994,060,297,695,866,992,166,003,264,700,541,314,998,700,
481,863,155,567,032,549,790,903,201,938,610,913,397,156,154,541,048,462,643,
189,611,222,099,118,642,980,526,989,874,473,056,478,320,002,381,444,516,913,
319,309,101,495,326,641,415,848,886,447,829,351,237,227,743,262,836,297,915,
200,001,350,697,944,661,293,242,526,798,983,155,306,678,636,360,943,656,074,
800,249,024,199,381,542,776,026,335,332,621,530,959,169,016,399,624,375,603,
426,178,453,676,050,732,680,922,851,870,391,233,980,125,370,003,577,302,929,
831,274,831,751,332,312,623,821,163,182,305,006,986,754,202,049,721,088,867,
607,454,860,181,304,912,356,213,400,550,987,095,271,051,649,268,852,013,978,
410,072,142,085,306,342,833,170,812,358,283,007,000,160,231,846,459,554,916,
519,354,512,817,859,587,311,618,471,631,394,454,437,610,666,162,430,040,476,
531,367,662,770,074,342,887,594,539,433,101,551,571,582,731,809,568,585,273,
152,525,726,639,870,654,665,745,748,037,656,425,132,683,403,982,505,217,891,
128,792,296,403,699,100,555,924,247,995,662,828,297,612,489,970,902,648,546,
369,722,687,398,438,394,548,968,390,001,022,333,336,696,454,596,103,773,172,
858,524,318,749,646,259,225,065,811,563,291,470,140,640,224,442,264,388,203,
233,724,340,771,863,424,378,477,297,564,269,712,453,220,153,215,566,565,114,
703,556,021,535,480,743,719,256,255,996,508,736,043,736,599,414,802,659,262,
170,985,363,502,436,929,852,502,619,026,530,022,303,987,483,294,953,164,301,
721,564,398,132,902,172,397,984,436,323,108,773,302,621,666,886,123,713,909,
656,615,705,146,036,093,051,186,991,137,632,324,373,927,423,600,673,905,858,
417,789,244,575,183,250,204,946,943,705,063,625,233,852,524,266,052,923,189,
406,764,874,514,573,110,232,002,643,470,618,308,100,789,340,944,867,272,290,
899,736,856,172,384,248,811,262,469,555,949,909,028,704,384,871,993,235,375,
080,717,629,152,794,419,352,477,118,839,701,331,425,424,463,415,094,061,531,
150,019,889,592,461,414,745,076,817,784,066,115,272,269,333,526,543,550,919,
888,628,734,749,918,899,016,054,928,601,530,648,839,324,249,423,230,210,611,
017,903,369,056,678,504,216,606,071,110,104,701,246,671,530,818,565,520,434,
091,229,626,013,948,015,258,288,692,316,628,997,902,722,265,564,014,700,755,
079,711,127,154,503,216,888,929,247,394,622,757,231,204,111,116,129,656,293,
454,910,886,674,154,849,007,987,455,901,765,946,736,095,270,432,777,639,367,
172,671,215,344,023,460,559,344,347,199,344,419,054,596,755,143,065,498,046,
480,638,587,655,234,602,630,905,886,643,525,723,075,552,239,595,307,965,543,
312,339,543,399,097,714,290,977,752,347,765,762,688,689,460,897,609,636,111,
592,898,313,488,862,259,479,073,070,074,490,242,262,218,825,706,557,429,778,
259,457,216,672,555,959,127,294,715,065,116,176,558,385,078,326,389,211,647,
967,836,679,316,640,834,649,411,313,700,536,225,475,383,336,673,124,607,169,
550,889,525,006,939,025,925,663,288,815,911,236,706,602,989,749,409,129,840,
427,935,779,158,980,828,568,044,389,443,626,753,966,100,182,106,718,408,454,
476,294,539,747,815,796,911,999,398,104,247,471,028,794,047,438,868,190,494,
170,467,164,519,724,218,076,842,492,558,020,827,246,833,842,685,735,176,931,
662,808,766,834,989,425,268,932,209,987,777,554,637,407,600,269,699,320,180,
243,772,047,010,305,668,887,194,948,444,651,701,622,609,789,742,960,113,840,
734,878,334,888,113,785,555,969,612,320,643,503,621,755,707,080,901,975,381,
240,218,869,428,621,859,904,416,072,896,378,383,599,795,905,783,319,724,722,
286,363,118,287,953,830,245,918,148,994,708,638,780,741,099,641,992,930,383,
204,603,992,070,175,982,787,159,455,423,016,266,006,464,659,072,495,079,637,
267,454,051,124,220,670,624,259,648,919,910,943,653,276,305,403,118,945,791,
675,467,735,483,573,697,889,959,906,307,688,905,782,628,510,815,144,821,758,
181,672,114,691,554,350,273,117,191,709,328,177,562,918,021,214,824,743,665,
185,133,534,712,509,084,623,407,237,234,609,703,466,295,491,180,503,089,489,
129,000,639,142,277,500,483,429,625,231,158,216,766,951,665,136,408,346,662,
978,609,830,391,917,994,600,624,447,965,220,301,395,052,298,307,589,681,909,
806,984,137,792,749,069,198,269,344,414,524,809,339,984,684,101,556,903,637,
885,693,492,501,191,455,930,954,686,025,063,284,139,837,765,338,810,215,934,
468,396,732,360,301,271,881,645,002,306,462,494,394,697,268,984,505,008,025,
653,461,833,450,565,928,733,736,536,381,513,574,271,848,280,179,609,969,139,
029,021,056,621,105,429,001,378,983,673,467,024,947,874,670,498,784,915,441,
707,869,492,962,757,827,143,604,230,960,043,914,372,085,366,216,352,541,854,
031,799,013,529,280,789,832,042,321,093,725,447,276,054,324,014,566,466,546,
413,783,640,386,858,296,048,038,277,390,983,873,686,013,371,895,886,282,791,
350,200,316,846,707,796,245,894,203,727,059,949,103,636,594,686,922,594,758,
021,931,438,399,181,128,390,607,388,875,609,079,591,367,315,633,816,749,506,
979,811,888,294,470,375,119,396,535,819,178,188,037,037,507,912,033,672,465,
165,829,842,802,925,333,861,926,528,754,006,928,131,974,711,514,021,696,069,
441,274,416,068,101,329,255,275,831,330,320,879,332,004,695,518,525,488,388,
687,710,111,816,530,347,518,421,554,721,146,647,345,808,888,814,183,197,333,
087,607,979,350,919,567,867,247,823,062,401,396,245,850,460,463,035,328,068,
548,212,925,680,962,085,230,953,630,677,925,291,291,743,831,670,776,818,308,
126,654,452,884,607,488,010,496,762,364,727,941,638,688,452,309,351,076,579,
818,928,525,304,551,491,634,602,844,579,645,729,171,605,506,005,741,922,927,
766,450,140,120,727,402,807,552,682,863,784,988,420,992,573,244,647,803,348,
715,243,435,552,244,733,314,243,348,818,188,296,108,335,502,006,237,843,480,
971,188,764,506,543,751,873,062,093,782,325,355,615,901,874,996,634,726,899,
309,522,519,157,878,997,959,991,995,813,153,477,690,693,845,587,241,003,286,
044,409,836,170,076,409,860,976,875,271,294,919,183,458,332,205,307,422,333,
592,153,945,975,969,334,061,928,744,822,817,582,787,415,995,111,479,544,742,
153,910,481,748,869,473,894,908,859,373,314,759,606,500,324,542,354,563,897,
083,954,617,164,110,521,068,862,789,756,969,084,450,037,891,017,775,890,220,
635,502,751,536,699,444,043,764,699,097,456,178,360,349,573,090,703,847,416,
424,406,454,282,276,044,315,073,448,115,897,730,887,241,254,275,974,215,258,
156,240,718,722,611,002,845,997,640,324,828,724,522,018,848,942,988,365,968,
362,487,834,655,235,372,198,127,642,586,575,026,211,168,154,680,851,043,697,
217,219,554,450,224,077,144,035,205,928,287,186,763,840,413,356,304,298,897,
201,648,044,932,698,502,034,304,351,471,347,338,829,007,512,497,602,465,972,
359,614,897,188,687,133,740,485,232,737,396,117,758,447,614,077,007,137,158,
252,065,064,436,277,438,503,600,419,750,214,725,737,613,310,105,931,666,439,
309,759,794,057,432,197,230,686,612,592,061,090,820,469,093,602,103,425,210,
896,693,334,037,158,660,547,805,440,642,169,567,219,247,180,257,719,050,318,
983,529,796,928,696,999,727,447,117,851,124,790,748,710,267,817,823,093,616,
995,856,643,943,969,136,492,211,363,671,746,404,680,755,302,186,852,954,763,
759,753,786,004,592,810,054,490,164,764,958,413,628,254,677,735,655,932,120,
239,297,237,231,691,965,383,431,586,323,797,516,845,302,067,076,127,267,831,
844,139,699,548,485,123,169,486,602,254,709,316,962,340,979,489,801,072,423,
995,782,292,328,686,377,187,757,261,499,411,481,232,163,051,540,549,176,829,
048,262,627,453,219,173,288,945,958,303,292,424,479,841,484,341,931,548,305,
512,687,132,600,194,520,446,958,994,748,020,468,991,069,402,143,394,538,058,
038,841,474,729,458,333,995,862,892,252,360,333,683,090,441,031,641,749,405,
556,207,920,513,582,942,342,071,857,649,033,414,490,592,147,578,146,810,259,
611,085,745,893,381,057,905,382,984,311,838,585,439,602,518,233,516,317,798,
308,941,954,461,070,986,780,546,638,907,337,460,971,498,625,752,880,744,469,
182,587,143,720,407,997,701,306,080,944,408,494,593,245,564,328,316,871,425,
388,461,661,321,931,541,368,013,232,300,051,876,477,709,064,572,287,378,369,
781,359,925,809,007,809,397,208,499,095,570,777,749,434,234,878,135,161,984,
248,468,661,488,372,817,585,847,106,538,935,998,798,382,711,266,265,578,393,
111,584,442,932,541,402,877,428,011,440,833,577,312,276,640,182,043,105,716,
620,316,523,266,455,401,864,850,946,650,398,766,460,236,226,613,004,690,368,
927,621,974,307,539,768,555,344,726,165,723,203,986,509,964,505,093,144,463,
943,521,656,904,706,158,316,612,391,523,609,537,286,182,053,885,627,446,902,
138,644,606,385,370,079,707,911,570,227,899,955,824,565,436,965,931,326,123,
474,522,226,907,311,233,821,345,459,785,616,017,810,595,833,833,569,303,933,
481,233,544,477,708,516,095,552,846,149,107,530,011,353,890,016,019,091,121,
678,437,697,239,394,187,248,449,349,742,256,589,569,207,154,515,370,274,119,
066,264,589,290,515,113,004,305,360,596,640,751,664,093,389,965,279,194,518,
103,256,852,764,052,097,650,329,628,100,665,737,141,899,954,223,995,967,341,
475,584,219,086,147,621,988,574,602,674,385,877,524,190,981,994,979,767,774,
671,359,568,068,593,917,525,054,517,595,263,262,578,595,382,839,532,399,363,
647,329,743,194,026,072,457,607,166,367,060,316,638,000,697,507,024,278,529,
824,454,479,783,018,467,663,009,004,005,973,074,320,622,390,343,637,890,720,
044,415,798,961,617,086,092,573,061,322,392,121,288,632,118,121,173,727,249,
961,026,693,106,095,492,461,029,219,348,395,297,727,821,737,659,818,719,081,
509,383,791,742,983,483,228,453,797,784,117,078,664,850,404,943,865,567,746,
056,706,132,263,819,474,866,510,585,654,336,244,390,566,538,719,023,070,565,
048,125,561,499,047,229,319,361,874,553,799,177,447,347,942,079,262,470,793,
905,352,487,220,257,068,421,223,610,512,907,854,167,017,022,282,477,656,483,
056,243,971,031,166,485,952,550,808,973,728,036,076,362,839,403,968,002,426,
867,966,757,997,940,108,308,664,724,520,331,709,649,270,491,045,789,946,455,
847,122,614,058,342,770,006,708,955,001,479,708,123,777,339,437,239,070,839,
678,835,030,356,251,539,120,982,039,994,319,057,115,969,053,192,779,988,937,
336,877,435,625,204,220,740,195,348,417,128,226,121,355,464,670,758,099,660,
305,113,042,038,253,807,053,070,454,508,646,002,549,712,575,875,578,441,157,
036,473,303,198,318,485,799,740,862,745,098,219,242,239,081,862,075,641,076,
067,521,543,343,650,510,659,912,206,453,898,435,207,319,319,471,369,658,029,
691,065,523,359,932,302,599,405,754,947,594,748,341,991,832,715,438,412,670,
586,502,197,051,663,539,038,003,321,232,041,347,747,163,098,520,385,124,112,
224,054,584,178,258,504,842,331,761,274,891,042,394,107,766,603,483,133,511,
920,266,599,654,845,145,978,435,180,959,441,161,409,887,533,214,768,111,077,
631,117,162,312,170,345,731,676,691,003,620,832,424,427,881,702,043,651,885,
414,788,097,766,642,124,063,013,618,460,374,639,061,796,602,575,136,850,119,
978,202,934,556,507,156,972,596,605,815,520,895,493,034,535,816,135,581,504,
666,058,666,508,762,176,004,432,547,003,633,504,442,948,870,129,118,469,319,
171,657,183,472,517,132,003,553,861,587,115,775,594,664,036,415,296,199,944,
865,958,037,052,591,879,072,464,349,621,819,645,342,286,298,323,148,645,450,
138,182,124,454,574,909,687,150,246,636,880,422,221,168,195,908,864,504,997,
500,384,302,685,429,183,063,812,818,443,505,274,873,213,288,648,723,958,861,
034,715,833,414,693,956,014,187,591,038,564,471,654,340,171,418,803,097,091,
970,393,056,699,832,902,273,773,362,854,592,852,113,063,121,612,101,894,510,
920,768,534,264,587,932,624,273,591,532,629,075,865,644,114,967,275,239,502,
648,078,851,257,985,843,974,864,809,269,480,796,340,659,155,395,261,758,881,
278,626,736,049,452,389,161,684,572,027,208,088,150,036,806,685,891,232,086,
549,869,226,523,529,322,265,799,868,975,331,016,328,233,875,379,203,170,445,
338,367,684,619,351,728,948,290,227,891,558,780,000,069,378,202,608,644,949,
480,467,292,416,293,304,523,286,169,470,674,703,724,533,384,914,591,063,820,
680,549,746,684,732,502,883,710,959,916,131,317,798,843,434,799,718,449,421,
457,439,862,189,638,256,141,490,418,212,563,024,450,717,963,390,735,972,665,
713,220,361,146,076,892,064,162,559,549,224,322,694,735,577,035,578,227,055,
790,247,793,825,024,877,760,352,962,702,100,553,196,588,818,966,605,993,149,
506,668,830,430,341,672,249,282,021,207,923,844,644,257,956,403,729,796,555,
139,476,553,156,514,838,542,829,947,565,050,649,417,863,437,681,699,340,602,
101,055,985,792,194,364,579,864,536,241,230,418,620,223,123,041,244,922,172,
198,778,137,714,706,583,321,556,107,725,397,141,641,077,318,079,060,285,647,
551,025,321,841,961,972,787,964,893,043,925,813,530,108,449,034,537,222,048,
876,235,939,791,966,299,291,548,057,278,144,007,122,692,849,445,698,116,000,
359,483,583,585,761,381,052,540,077,159,022,677,775,673,457,073,697,987,494,
966,084,217,210,890,947,287,665,890,138,141,917,478,667,590,174,425,243,134,
562,230,883,599,146,764,231,917,483,856,952,581,134,109,370,517,560,789,978,
166,698,195,785,674,060,897,397,236,371,636,020,837,214,721,073,049,528,286,
667,953,055,638,371,619,802,736,497,500,437,356,661,923,984,305,677,745,039,
764,719,040,619,830,631,757,750,608,143,481,831,373,793,715,178,063,116,417,
435,652,513,664,811,390,269,012,969,119,388,402,559,578,171,997,762,260,935,
619,798,965,496,034,155,108,444,791,459,298,979,151,566,913,368,559,719,102,
360,773,515,129,537,667,566,955,007,862,009,721,265,701,751,169,867,200,099,
906,687,112,452,933,773,194,880,664,142,525,669,912,333,029,806,802,131,919,
390,705,208,864,317,550,181,473,322,214,655,482,877,478,400,600,001,101,125,
264,733,089,167,026,186,867,884,331,277,801,059,356,214,242,232,453,326,153,
128,280,258,247,218,947,109,957,277,777,195,075,804,318,994,799,650,828,428,
111,852,197,873,875,419,563,029,763,260,126,099,705,745,028,756,011,608,085,
419,939,594,696,937,409,932,621,123,137,995,056,859,232,019,603,367,360,897,
224,660,953,922,978,011,472,204,522,588,604,198,417,969,817,192,370,278,102,
891,366,465,872,088,885,607,831,818,319,108,863,634,068,675,401,831,852,959,
301,857,976,555,631,093,562,851,132,481,223,392,590,265,414,318,387,233,654,
128,718,717,529,863,523,411,802,160,951,675,931,605,904,861,696,362,442,770,
889,405,391,938,974,558,949,620,943,001,372,912,918,115,406,001,414,409,038,
235,683,051,516,310,119,720,514,342,995,344,062,061,325,618,247,474,554,957,
349,152,039,570,418,509,547,988,868,495,418,226,593,363,759,030,769,376,440,
977,058,108,786,251,193,235,471,460,390,066,554,334,725,788,610,087,072,835,
662,111,065,597,892,771,841,844,163,092,119,197,953,632,693,302,554,127,933,
284,865,200,585,690,283,867,811,800,903,835,560,025,738,991,360,599,313,569,
178,006,673,455,283,321,932,070,347,668,708,058,300,706,661,992,515,482,695,
034,079,270,131,576,167,429,409,522,799,786,378,278,756,338,352,270,827,577,
277,061,648,846,697,845,147,150,496,024,866,217,500,354,437,348,189,669,618,
548,497,489,609,462,047,426,911,102,629,538,709,857,864,816,071,015,826,712,
967,172,036,557,672,202,710,373,023,476,736,966,127,878,323,844,133,137,464,
665,737,858,637,820,669,727,530,530,522,350,321,709,242,359,216,179,568,627,
351,764,556,189,782,859,443,798,677,704,999,304,456,452,603,631,090,039,787,
710,808,490,219,165,251,432,775,916,151,204,273,497,273,248,619,791,841,817,
554,176,878,167,733,503,544,054,200,354,020,682,174,933,682,398,010,086,906,
459,852,649,499,875,388,559,252,069,977,885,365,826,830,471,974,139,259,261,
667,683,565,068,381,588,925,352,932,108,860,702,987,151,213,107,316,872,607,
483,933,150,261,851,971,047,139,945,210,109,040,075,298,515,678,332,856,684,
984,252,983,273,653,784,035,142,439,906,164,376,585,519,492,918,481,635,981,
422,555,519,925,421,182,955,618,369,361,688,855,446,882,479,280,879,486,518,
879,695,989,576,634,632,894,995,910,084,218,924,189,841,413,713,485,051,321,
693,052,329,818,301,743,384,124,807,092,596,178,359,789,846,362,007,048,282,
235,803,518,327,908,471,558,698,570,104,091,305,257,331,495,434,807,978,377,
406,424,045,346,819,609,023,493,176,795,581,606,712,210,833,135,662,778,340,
686,832,288,507,725,874,578,638,451,066,429,577,110,944,944,579,900,968,415,
047,877,092,991,232,230,853,586,133,905,561,780,724,094,702,125,302,743,872,
854,876,157,728,365,547,300,107,954,206,832,912,259,243,075,896,287,029,455,
104,820,392,405,327,124,234,757,621,379,241,691,187,043,636,316,408,142,581,
347,066,529,109,744,692,021,178,983,906,220,952,677,920,409,407,243,767,934,
468,944,930,534,606,921,891,066,261,697,021,393,663,326,603,539,679,573,345,
659,801,978,348,794,543,279,312,133,228,396,264,946,637,864,655,003,748,976,
993,791,412,045,346,845,505,379,357,061,879,887,729,220,651,199,867,864,871,
571,099,796,211,067,685,882,547,293,394,447,959,681,933,276,464,606,063,718,
352,488,781,377,997,631,579,998,769,316,718,165,548,016,006,675,722,743,970,
754,340,691,893,718,258,266,204,716,150,362,322,137,885,316,622,770,819,859,
131,286,267,505,683,671,621,773,540,057,785,985,635,873,725,889,054,997,409,
419,094,846,194,268,595,816,796,566,766,422,660,852,647,720,161,502,463,941,
652,637,514,265,556,169,236,302,604,517,031,880,533,569,511,885,472,488,196,
111,212,931,685,920,034,803,113,285,133,275,293,095,862,662,460,047,199,641,
088,576,450,999,043,874,433,940,327,526,446,477,530,137,232,660,810,813,981,
967,964,407,940,629,074,563,392,999,696,010,772,323,290,098,467,970,987,572,
077,434,798,285,590,378,596,065,705,853,813,536,750,636,327,578,144,658,881,
968,856,485,905,986,953,574,163,156,822,123,390,287,455,920,016,714,354,358,
595,146,087,455,154,817,414,989,950,473,867,676,410,891,850,919,362,937,176,
183,257,581,078,391,942,593,788,365,371,692,756,818,236,801,372,260,841,062,
156,384,488,309,973,687,208,207,673,120,392,864,253,086,361,394,781,121,661,
347,583,739,974,368,888,456,238,251,742,309,021,332,911,813,509,457,260,212,
158,041,084,856,999,903,523,816,028,276,027,630,420,073,647,980,177,678,159,
559,174,504,006,923,128,521,589,455,573,252,371,576,655,280,508,441,936,210,
733,689,129,388,499,994,297,945,436,757,001,048,055,188,177,462,351,723,567,
510,646,549,328,277,872,421,893,598,865,474,947,596,264,037,041,270,945,307,
797,500,655,910,242,460,256,358,058,208,019,041,870,505,430,805,929,739,286,
298,680,100,456,044,191,739,405,570,984,145,403,452,369,943,411,527,172,679,
331,277,577,916,245,393,161,378,605,646,729,967,233,230,741,143,791,489,270,
274,087,208,800,602,473,415,883,183,680,085,791,563,165,444,248,555,014,939,
340,419,372,093,055,161,059,871,855,076,119,106,975,236,606,854,339,437,070,
935,531,950,867,523,458,732,284,389,953,147,316,742,794,041,611,353,169,882,
214,663,196,983,602,488,638,238,477,065,957,005,463,874,604,833,695,655,759,
503,807,276,422,729,565,533,786,182,124,435,558,773,423,127,843,518,702,011,
947,901,645,814,954,037,112,760,625,438,658,847,528,062,525,118,392,701,880,
136,646,556,739,381,988,342,436,242,438,105,381,798,567,613,890,874,328,492,
903,718,901,535,007,673,591,885,281,409,335,311,576,318,696,262,797,137,475,
699,091,554,433,001,811,708,896,122,495,548,118,416,709,892,805,590,959,874,
794,448,144,653,297,569,404,165,466,942,925,437,590,787,695,499,856,131,942,
141,852,499,465,901,086,661,629,916,520,039,184,892,293,426,769,961,248,228,
450,177,305,061,377,629,411,483,980,070,959,522,651,004,547,134,784,098,534,
469,490,028,470,640,353,535,983,096,352,296,106,263,856,841,787,326,429,481,
498,702,081,805,826,367,124,359,622,447,657,688,546,249,979,468,870,748,194,
806,486,248,321,366,285,798,085,333,712,966,502,539,146,805,027,851,395,535,
598,337,634,978,161,149,234,756,763,162,643,291,423,681,652,665,790,476,902,
189,476,153,957,305,341,499,642,811,631,721,849,832,753,347,983,954,128,695,
185,720,830,037,714,737,044,527,760,225,861,074,983,158,544,305,445,449,721,
325,234,266,764,836,207,112,161,260,060,462,095,170,574,454,836,741,890,238,
041,981,738,343,074,741,013,359,078,932,247,907,197,558,213,271,777,583,918,
194,753,610,668,146,121,169,024,802,242,924,889,688,388,579,496,686,388,161,
288,156,695,378,355,831,932,021,333,652,387,392,045,624,423,610,439,143,399,
700,860,239,328,071,424,948,528,687,219,827,581,974,487,183,004,056,804,158,
005,375,282,453,450,715,699,824,331,985,848,135,688,767,852,337,835,022,008,
172,720,867,282,812,676,076,227,539,475,585,598,761,077,083,545,637,037,278,
937,195,935,058,622,723,176,875,522,083,369,199,703,049,180,312,688,028,208,
597,245,734,565,536,115,592,974,641,512,891,215,035,694,251,554,145,595,880,
563,595,298,813,596,051,376,265,422,083,230,960,668,064,892,549,737,930,712,
880,622,759,430,782,109,442,899,677,490,672,074,106,568,807,475,202,164,053,
104,606,979,269,782,931,377,705,679,954,675,763,087,161,613,229,814,706,049,
231,982,870,995,077,783,946,456,440,255,562,980,251,805,968,358,445,181,305,
366,737,289,966,378,891,233,521,215,049,665,531,005,052,635,003,558,564,112,
030,551,535,680,653,205,968,585,637,314,169,705,397,757,053,313,351,038,786,
280,493,989,182,143,818,123,599,093,084,216,431,417,028,913,620,252,694,734,
827,392,415,751,781,928,412,449,545,397,459,388,702,440,740,080,035,401,832,
953,480,270,682,413,616,431,099,119,602,667,816,204,900,104,432,066,677,143,
189,803,286,043,434,921,355,231,335,118,961,240,413,084,832,978,644,112,589,
151,899,245,848,760,401,407,912,006,511,963,677,212,219,896,693,892,940,498,
120,317,478,538,369,975,346,291,196,043,833,200,555,904,133,509,541,817,089,
935,662,587,226,066,020,129,372,183,128,701,064,184,220,924,735,433,235,990,
116,053,162,517,334,728,617,100,061,336,029,334,041,209,654,651,107,347,612,
833,434,615,072,056,827,689,250,840,972,409,819,579,194,744,838,448,088,345,
499,329,987,479,070,702,101,972,284,501,777,071,699,712,063,996,456,323,023,
810,396,972,664,958,235,468,254,397,272,079,931,921,770,545,317,534,660,814,
380,189,689,646,817,050,528,940,002,915,371,081,453,586,755,607,342,170,861,
929,578,049,110,971,544,169,963,817,556,630,852,231,691,044,699,205,569,601,
356,082,812,740,097,850,000,304,788,409,692,404,185,170,133,576,025,925,971,
618,654,172,894,377,749,431,956,473,810,978,741,312,218,792,609,100,778,235,
413,366,768,358,057,763,048,315,228,122,551,396,318,031,368,409,334,936,607,
941,805,876,815,562,908,601,119,871,199,876,345,169,131,896,647,643,550,265,
373,119,422,619,715,065,296,343,231,905,900,844,212,733,222,907,398,458,596,
101,029,498,246,356,592,917,182,355,650,556,255,114,355,290,869,345,814,995,
152,776,614,449,334,404,564,053,415,262,899,817,037,144,330,702,629,307,166,
731,979,633,705,818,191,941,893,005,784,848,212,569,656,418,462,991,625,292,
183,975,893,673,867,141,509,742,856,707,884,925,679,428,137,370,555,993,240,
514,284,347,184,544,381,708,304,789,247,694,880,622,272,977,916,859,551,926,
406,649,121,204,008,050,853,453,660,374,080,109,648,342,566,130,335,594,368,
625,385,396,367,517,467,365,717,364,548,681,196,869,785,930,281,166,301,689,
091,526,287,608,882,703,834,251,972,055,036,273,371,834,605,038,796,338,793,
468,111,810,550,333,313,103,947,770,746,119,128,914,311,721,553,678,585,003,
566,461,491,094,235,607,655,626,422,339,789,639,784,717,837,184,559,579,349,
353,012,666,810,939,077,120,671,941,944,471,170,896,016,694,186,324,682,542,
644,815,437,570,768,634,341,976,376,328,266,952,328,894,746,860,260,413,254,
433,351,184,220,378,592,666,022,407,331,786,190,228,961,954,570,402,509,129,
109,120,117,608,737,792,888,423,606,086,931,034,294,358,095,707,115,762,387,
142,056,548,813,304,304,303,595,365,114,069,357,626,594,846,949,984,839,015,
622,225,379,103,678,798,130,702,278,899,767,955,702,450,238,529,570,086,776,
081,009,500,059,497,305,402,702,931,021,613,676,464,904,684,841,767,044,462,
899,043,873,197,113,068,434,980,814,640,334,131,116,705,603,654,731,626,448,
073,543,466,393,314,619,579,013,395,429,384,446,061,210,733,056,880,901,518,
655,419,953,567,510,997,229,845,886,396,358,818,289,813,161,699,606,067,624,
818,379,225,470,207,377,130,212,131,462,061,854,846,604,081,067,229,091,107,
029,537,663,787,415,447,849,412,067,128,767,022,914,572,971,534,912,438,775,
962,048,284,649,519,005,452,974,835,819,199,059,004,455,265,979,943,761,455,
962,867,151,612,592,958,100,514,633,457,684,800,680,474,094,898,733,905,543,
687,890,462,524,673,407,658,385,629,390,131,466,816,708,457,028,842,196,290,
032,741,222,664,188,210,953,454,584,424,456,136,894,988,614,547,145,423,460,
534,919,302,953,644,267,382,757,864,617,561,357,517,460,942,231,189,817,592,
979,590,870,666,392,911,660,334,847,382,732,397,346,199,857,743,486,839,234,
887,760,055,624,340,018,255,103,616,467,589,454,048,005,647,398,915,264,369,
592,524,427,806,030,947,062,759,141,161,202,432,972,275,075,063,288,738,314,
356,844,667,549,794,920,213,622,466,613,846,342,521,934,918,164,660,552,847,
235,288,857,022,080,619,343,729,037,687,428,581,565,237,018,976,919,283,938,
681,116,296,879,476,919,948,350,779,861,710,593,994,827,767,196,523,855,754,
882,743,411,264,154,373,119,265,198,655,421,025,491,514,562,924,734,503,197,
662,279,235,123,168,322,486,150,840,545,512,327,603,614,425,508,642,011,633,
978,794,305,418,160,212,457,173,106,465,440,306,626,436,680,229,952,110,122,
672,467,978,772,532,289,046,836,575,861,372,326,128,751,142,319,729,038,630,
222,390,665,239,170,687,356,428,246,861,910,138,140,628,935,222,383,127,995,
730,713,225,689,955,866,369,110,749,656,518,071,422,718,402,721,112,739,034,
817,170,855,355,058,360,917,862,298,817,600,630,246,443,802,011,879,692,421,
695,523,879,433,664,729,714,766,746,962,184,214,705,395,406,801,624,802,358,
508,682,196,853,226,372,427,110,323,152,025,457,166,948,203,520,742,729,648,
060,890,342,022,948,452,220,319,188,706,362,225,053,459,837,185,375,840,513,
817,444,016,785,706,819,634,905,753,506,520,965,136,395,396,305,346,946,962,
149,927,704,507,421,381,144,773,519,870,377,359,379,709,106,637,311,177,061,
949,089,719,818,647,361,943,778,570,716,539,116,996,036,882,837,661,815,665,
865,893,396,941,204,926,936,148,942,119,061,495,691,098,009,182,241,257,602,
254,065,616,656,049,889,137,824,991,687,689,228,103,249,162,003,969,645,673,
082,164,221,645,991,400,617,266,665,451,066,896,752,658,480,281,010,079,136,
679,175,548,246,464,479,275,863,426,606,818,993,894,480,761,228,893,618,071,
223,822,031,919,612,386,588,792,981,280,675,945,839,870,473,587,446,267,808,
083,827,405,238,289,632,518,075,078,484,021,239,490,726,933,227,555,782,680,
729,944,069,316,020,862,616,927,449,205,989,434,508,730,936,352,284,075,296,
358,813,617,384,417,324,999,359,219,026,955,291,760,005,561,242,972,067,387,
174,738,118,385,792,910,178,430,952,578,237,119,453,820,769,666,231,448,347,
988,473,496,621,407,620,797,089,878,329,849,830,980,044,838,702,725,630,796,
961,760,149,721,849,752,590,462,425,990,746,035,436,488,869,031,130,820,046,
995,181,416,441,761,516,573,516,139,797,307,461,831,134,488,155,893,207,829,
476,362,171,401,143,231,945,821,155,578,025,793,190,434,390,371,068,856,193,
795,904,970,808,506,676,063,557,234,674,966,904,340,127,297,191,483,460,380,
815,076,029,069,471,209,987,423,099,823,684,486,063,208,172,854,829,494,412,
652,309,661,511,596,219,327,763,715,033,317,021,506,877,902,874,250,921,279,
211,701,514,984,620,438,862,924,850,640,897,160,783,311,394,034,416,940,307,
764,171,866,442,229,506,333,378,654,377,388,791,982,588,083,798,493,745,941,
225,832,238,387,494,412,581,857,865,946,431,952,759,683,962,221,769,540,142,
504,684,826,870,451,254,945,681,173,450,376,108,730,826,345,262,591,770,635,
847,653,490,938,043,099,647,119,502,938,094,721,556,129,801,358,854,535,071,
900,584,739,568,351,514,905,510,499,402,252,738,861,235,497,475,787,971,645,
194,090,823,173,174,853,605,263,006,134,101,907,674,869,917,062,374,558,299,
398,574,745,691,218,536,593,906,570,216,938,685,707,822,373,498,029,658,290,
157,699,525,755,461,178,731,410,671,875,310,298,323,935,085,274,748,116,257,
875,241,236,186,647,676,089,619,816,179,048,358,571,084,407,302,156,073,849,
503,717,001,327,639,090,605,767,758,433,574,203,174,984,785,893,374,483,423,
744,680,619,921,977,782,488,398,609,952,326,741,150,380,415,175,761,452,257,
136,040,594,123,370,911,086,491,881,643,766,564,013,297,024,831,113,303,554,
040,792,300,082,617,270,292,938,306,804,355,656,445,030,832,079,399,088,874,
370,176,399,452,022,505,981,477,323,132,215,342,016,019,098,146,317,946,658,
314,121,650,180,034,232,577,528,183,999,856,541,233,772,882,633,979,434,785,
552,432,569,785,642,103,648,144,558,400,476,575,531,102,507,241,842,720,671,
865,898,720,069,248,524,967,391,195,048,161,515,088,345,535,438,287,249,272,
231,026,210,606,415,921,722,655,846,814,524,116,424,913,091,470,425,738,997,
117,828,954,924,513,073,312,577,272,117,042,871,317,131,983,577,457,269,568,
302,569,017,251,507,868,842,211,963,929,233,478,700,604,774,237,088,317,693,
661,788,469,783,523,902,083,749,273,230,997,722,477,297,900,031,962,648,319,
799,546,416,488,599,054,004,410,261,404,245,875,304,281,667,214,384,468,046,
520,993,278,669,034,363,922,066,362,926,798,879,459,319,240,420,856,413,455,
354,082,226,763,727,144,161,862,053,802,543,594,730,291,088,794,895,068,225,
707,734,356,504,886,523,483,918,715,321,085,058,300,589,706,699,497,848,660,
403,971,286,161,170,050,773,935,119,389,113,768,325,151,284,954,994,897,732,
587,403,355,733,603,423,146,292,475,161,293,712,288,508,388,677,137,811,158,
958,578,226,508,647,924,922,875,069,664,597,759,029,070,737,217,286,522,932,
973,684,229,301,895,544,536,131,402,361,772,886,028,249,868,271,850,972,365,
370,275,311,711,417,234,862,439,405,980,464,281,195,327,212,478,154,947,392,
245,133,120,242,043,594,179,374,399,298,730,261,249,883,622,482,765,882,681,
852,064,912,205,956,820,441,601,825,736,856,820,171,360,262,737,145,965,160,
814,993,393,188,496,519,664,631,831,775,516,685,021,961,048,453,370,767,256,
150,592,559,423,737,790,219,879,452,765,069,223,226,150,673,796,856,677,431,
538,916,693,091,195,386,184,089,759,963,022,331,691,333,219,235,899,693,936,
207,237,398,046,762,539,286,839,397,712,485,479,023,482,985,124,217,146,383,
082,084,025,339,188,237,947,856,714,271,025,135,711,286,851,946,172,975,183,
100,399,728,168,933,963,464,383,869,195,937,996,071,909,592,930,363,600,387,
317,854,762,959,360,292,884,069,357,443,079,229,326,679,697,397,924,931,935,
723,914,708,897,346,103,002,702,663,572,875,406,213,917,774,560,659,872,165,
701,841,361,361,688,458,438,247,626,906,132,991,979,094,194,252,158,381,457,
163,844,666,769,198,752,236,987,892,437,230,079,061,360,917,941,275,231,780,
191,954,114,802,280,914,623,363,879,389,432,007,660,987,689,540,126,896,996,
537,320,926,498,619,812,023,930,828,382,996,295,899,739,963,524,306,927,492,
392,222,093,633,798,286,653,651,026,653,771,225,780,925,233,604,913,651,659,
077,665,500,946,377,517,315,190,930,735,922,771,182,782,399,810,925,776,200,
838,266,872,501,360,580,260,557,376,445,157,403,412,931,058,043,671,129,367,
124,262,875,807,238,641,008,139,613,870,163,076,554,996,903,686,777,555,663,
656,732,053,378,072,243,322,955,805,150,915,479,054,532,962,945,652,552,722,
945,297,006,055,998,572,179,505,081,340,453,877,549,390,697,632,118,918,203,
644,045,534,781,114,975,711,738,329,753,304,664,615,717,888,267,279,662,161,
704,366,391,017,946,433,884,686,235,404,532,536,896,582,980,256,831,979,812,
117,622,281,536,982,509,024,241,542,999,753,725,373,440,413,561,845,124,655,
861,451,766,090,955,801,570,769,595,897,992,718,112,354,693,024,378,904,185,
058,462,468,745,178,856,621,325,960,277,448,464,731,622,864,106,095,828,494,
244,702,908,380,777,938,950,700,717,403,729,844,196,983,982,976,381,687,018,
200,410,218,209,316,374,693,215,666,453,153,103,031,122,203,997,312,923,030,
372,881,894,121,247,119,369,676,108,022,817,418,677,633,169,958,941,335,109,
971,358,300,773,760,078,474,328,972,035,637,030,358,416,798,453,449,481,392,
759,219,866,313,974,059,642,578,296,228,869,441,988,326,966,408,692,662,679,
055,518,660,558,225,453,306,211,320,634,071,425,824,487,617,972,689,108,023,
054,118,958,880,472,010,135,170,931,486,209,908,559,085,358,846,226,949,820,
430,313,766,248,770,319,827,782,296,924,889,776,921,522,163,720,881,677,479,
676,595,097,122,807,173,029,364,480,243,392,533,335,458,473,747,051,557,093,
412,369,466,808,968,386,229,096,599,676,385,349,163,673,293,473,148,715,993,
558,355,428,688,046,749,162,386,468,636,971,192,354,548,076,043,531,125,926,
753,634,230,166,178,688,959,721,758,366,947,183,681,028,697,291,544,076,876,
754,107,108,930,938,782,942,465,452,510,225,514,335,472,725,236,107,926,295,
743,891,059,868,509,087,984,790,272,339,632,969,185,592,613,852,325,994,470,
798,000,047,097,150,137,460,590,204,958,116,544,690,460,382,653,326,750,215,
988,488,079,885,208,995,535,322,058,987,294,089,622,862,867,679,119,617,073,
605,243,291,198,866,571,400,452,170,394,154,418,049,075,536,466,417,988,076,
620,133,131,829,826,181,320,465,538,001,875,954,376,626,286,827,607,935,505,
353,762,265,916,898,639,720,417,143,086,770,562,417,314,399,031,634,562,643,
668,864,269,398,370,430,367,840,153,775,848,732,824,936,988,975,017,471,038,
313,218,008,643,445,866,546,804,472,185,555,773,118,539,485,077,924,322,110,
805,071,328,547,264,034,006,133,730,659,385,361,096,917,825,505,173,240,657,
440,974,627,316,283,990,457,268,531,605,747,467,625,683,179,137,683,703,481,
028,586,248,356,569,627,790,139,815,541,708,968,750,989,299,704,789,837,463,
376,706,603,593,607,277,849,301,324,486,934,223,463,495,799,427,720,365,644,
397,697,474,924,942,417,812,314,439,341,672,104,894,065,066,708,645,646,003,
848,578,985,201,104,895,949,541,159,445,649,899,069,012,196,190,394,094,780,
868,453,679,698,404,663,298,541,356,526,572,540,602,756,787,722,710,669,889,
738,499,597,886,210,784,227,737,261,411,046,299,643,080,153,077,724,640,164,
440,806,462,593,695,173,832,254,441,697,267,787,460,728,362,233,425,156,690,
051,360,771,420,252,059,583,067,458,295,248,245,010,486,333,536,658,762,558,
519,913,553,474,081,561,200,676,074,940,461,748,066,271,584,668,460,917,032,
208,988,111,341,770,725,682,011,958,959,971,307,488,304,118,408,214,497,887,
777,934,691,219,011,993,019,623,519,533,361,021,978,527,310,971,362,150,747,
321,687,830,281,871,470,535,795,097,075,426,946,228,284,206,937,829,661,967,
515,573,761,591,234,282,236,668,507,914,577,920,269,821,907,574,015,599,370,
617,234,943,670,600,307,561,572,294,081,784,659,004,521,038,555,629,210,426,
869,142,223,635,725,035,993,634,849,195,542,601,950,744,922,627,104,397,894,
726,151,141,472,012,825,889,881,853,162,416,543,982,799,902,643,425,294,675,
624,763,438,009,417,406,985,863,569,090,210,652,059,220,742,814,133,751,984,
886,944,614,706,044,591,108,005,235,578,976,004,683,201,587,120,326,172,760,
675,823,279,426,622,936,252,464,784,058,336,056,656,107,775,387,079,422,453,
417,120,721,595,490,743,101,499,582,202,125,973,976,705,819,218,093,624,178,
797,995,221,264,497,592,901,307,416,488,381,029,261,082,674,351,448,851,612,
505,309,667,265,573,832,232,711,556,125,935,628,148,269,779,358,443,592,985,
318,032,624,698,519,760,199,409,574,124,185,612,155,748,136,934,847,527,834,
556,625,849,615,089,369,528,438,902,654,919,541,956,908,010,562,544,667,094,
359,077,826,994,868,864,567,294,613,395,625,140,477,323,762,846,950,181,276,
756,649,979,984,339,795,419,602,986,082,490,515,558,616,595,360,033,832,536,
409,120,697,952,276,239,254,242,073,772,635,093,816,888,321,719,630,793,353,
637,952,702,521,228,212,821,677,394,788,985,205,138,420,623,119,161,944,811,
198,257,481,019,598,238,394,068,823,836,019,039,075,554,219,790,937,236,707,
494,419,934,841,750,623,578,566,282,800,322,747,229,661,952,456,539,260,384,
122,938,476,964,438,585,711,132,103,672,555,430,671,858,320,388,402,813,404,
547,835,994,379,140,627,857,532,163,316,487,088,374,351,459,681,597,325,839,
493,434,115,705,573,420,369,943,220,525,204,422,055,976,582,078,850,618,726,
048,715,752,450,053,202,032,168,657,491,670,527,671,477,327,754,126,448,329,
207,635,414,122,251,621,839,578,222,187,460,716,456,097,563,257,824,020,645,
541,496,213,308,680,159,068,223,386,819,857,664,056,311,464,352,299,907,678,
789,128,848,719,202,673,250,996,531,252,021,386,688,519,799,674,315,082,137,
063,146,167,650,904,263,044,489,859,763,591,496,166,047,103,090,656,060,569,
031,578,672,916,091,423,823,801,074,214,700,773,063,004,319,970,851,154,753,
937,132,823,192,350,121,404,223,450,167,935,668,694,153,954,245,721,044,109,
180,184,156,782,149,482,905,931,685,414,066,180,799,545,495,451,544,736,227,
835,434,867,780,290,150,188,706,887,997,212,243,217,853,714,394,104,111,247,
298,643,619,585,010,997,592,322,167,831,729,291,609,888,070,961,444,151,745,
270,925,342,825,047,987,262,309,403,435,807,692,737,686,301,731,123,771,821,
694,428,151,292,494,933,647,757,732,765,565,359,222,023,256,267,551,011,795,
036,909,970,370,971,873,633,657,160,354,901,710,476,267,203,141,370,906,091,
304,234,261,891,978,249,640,172,763,562,443,932,363,342,087,168,882,268,750,
825,989,321,416,719,597,387,872,753,887,909,142,646,038,968,181,941,447,905,
721,420,444,879,496,256,845,233,333,033,385,744,317,980,451,785,506,532,620,
846,010,944,084,288,506,482,821,715,594,452,486,408,595,491,506,691,244,196,
810,388,367,665,692,505,134,343,468,728,053,009,607,532,971,304,499,038,503,
827,253,464,593,935,256,798,186,585,981,618,194,645,322,124,413,426,328,717,
557,335,048,114,256,354,502,463,933,631,511,156,319,384,497,446,812,430,995,
496,978,152,830,038,998,077,640,995,618,715,736,536,670,155,465,739,063,696,
597,261,889,190,671,976,204,863,024,854,173,518,247,157,798,772,695,561,121,
579,447,033,369,430,582,820,559,143,194,622,952,592,124,583,301,685,215,384,
653,167,230,542,636,660,505,621,239,339,316,190,024,352,382,218,109,563,012,
308,926,340,146,561,155,737,292,318,615,147,918,479,737,633,440,715,364,551,
448,223,643,169,402,298,249,371,505,730,057,846,635,191,971,004,996,910,808,
525,132,980,233,017,757,264,951,036,016,532,421,352,686,024,323,973,901,089,
872,941,390,237,869,017,156,337,218,536,468,641,746,337,295,346,795,447,636,
409,214,895,463,782,814,257,803,345,524,597,607,745,976,910,402,760,736,576,
299,552,461,356,447,410,111,501,854,225,542,321,436,270,880,731,138,084,288,
096,424,076,328,600,049,195,753,197,933,981,966,957,449,601,219,238,550,765,
395,231,480,984,774,052,245,967,977,611,126,361,824,446,452,672,985,076,370,
114,739,545,264,354,467,825,106,017,349,267,904,565,316,172,627,890,560,945,
500,381,898,148,555,444,852,259,321,757,952,537,738,844,005,943,054,761,388,
445,965,943,915,781,534,542,612,193,974,239,399,010,571,907,803,337,785,137,
560,446,371,198,768,656,376,369,596,952,253,857,320,184,006,167,560,804,941,
932,334,248,442,761,094,322,912,693,197,563,855,795,633,860,781,926,534,482,
738,399,789,219,888,904,356,925,394,805,866,397,048,934,258,810,099,616,588,
084,755,003,434,968,436,688,091,625,069,639,435,799,978,844,589,335,463,318,
641,804,830,562,177,378,398,977,900,716,628,379,614,042,249,161,123,858,965,
376,988,474,064,078,364,174,723,576,491,483,841,519,470,400,582,651,702,470,
416,865,972,402,075,418,593,413,938,861,155,789,739,431,789,765,209,315,820,
141,749,383,102,915,338,224,941,687,841,984,278,753,816,275,786,444,107,334,
517,614,286,961,217,507,135,665,075,046,678,481,290,268,018,823,322,251,513,
369,729,611,419,282,209,280,553,771,542,982,511,057,879,688,206,182,936,628,
001,542,921,245,059,161,113,161,109,329,946,410,965,021,529,251,584,967,394,
898,598,688,819,689,238,599,811,523,444,458,428,844,661,723,653,913,391,569,
689,318,182,088,127,518,410,540,673,705,059,472,607,669,504,756,647,043,644,
570,977,347,712,559,568,217,634,448,247,174,998,154,485,435,158,236,677,066,
992,079,895,611,196,474,563,753,659,237,563,587,418,691,679,997,285,606,113,
830,674,342,249,301,979,818,562,666,790,427,539,270,715,617,227,762,083,197,
884,114,886,559,438,690,809,262,891,473,204,769,689,514,592,729,575,772,166,
141,894,279,206,688,038,078,578,427,280,875,249,512,506,253,564,494,638,231,
888,321,387,803,601,799,348,461,704,553,971,943,581,145,200,827,252,320,452,
065,821,182,208,364,083,161,452,544,537,418,577,039,260,140,710,586,238,406,
088,143,746,718,175,486,536,922,066,589,473,024,814,824,946,734,802,237,416,
301,826,272,816,867,696,271,458,651,106,639,149,188,460,756,368,113,913,888,
380,387,735,856,301,162,326,384,064,913,995,649,715,067,304,018,981,754,952,
331,547,427,653,034,639,899,502,520,988,844,644,054,214,047,798,314,711,332,
491,828,513,392,316,613,827,634,091,089,346,673,809,557,499,765,804,904,232,
065,924,290,783,292,018,200,423,328,345,709,030,211,956,837,505,183,856,179,
407,718,199,755,343,633,321,945,783,701,105,499,038,778,541,001,036,316,842,
130,643,131,320,197,032,285,367,988,911,331,460,425,568,290,489,408,463,465,
278,724,823,028,878,475,997,627,632,287,130,024,784,288,818,946,393,162,089,
337,520,051,291,865,024,259,001,531,323,124,711,337,065,786,173,458,378,806,
646,186,392,804,109,811,637,624,086,665,072,623,534,572,881,039,315,589,742,
825,271,071,578,458,133,925,725,875,995,132,695,614,874,464,547,683,995,588,
884,383,980,970,678,957,642,349,234,657,575,859,637,261,151,773,530,310,835,
314,068,873,094,615,749,365,804,485,008,469,497,101,763,827,700,938,219,322,
829,997,438,871,157,776,737,388,184,055,177,702,611,625,758,725,570,780,521,
456,221,427,287,048,703,785,371,919,284,189,717,154,809,279,871,985,661,692,
778,162,700,051,668,505,346,127,504,836,390,685,042,881,727,027,983,110,529,
025,175,657,311,040,097,418,278,862,653,104,987,172,672,790,974,766,211,590,
577,423,249,433,354,252,833,170,633,807,930,598,658,673,691,744,711,286,136,
046,531,691,383,170,497,321,044,435,221,714,351,528,546,089,598,094,717,966,
674,164,259,705,649,636,797,931,200,693,372,762,881,029,951,666,368,312,779,
970,162,533,063,649,296,718,981,592,001,915,403,496,471,306,798,789,355,754,
645,136,011,802,904,148,502,333,062,637,949,682,199,383,888,308,974,906,001,
549,451,695,622,537,469,486,268,519,533,366,724,115,065,696,714,901,010,432,
417,043,470,634,161,222,483,060,474,748,606,797,528,230,260,910,573,300,551,
750,868,661,943,543,467,287,150,643,653,221,952,093,971,446,091,825,952,040,
309,549,985,354,820,351,395,525,344,604,659,856,998,116,620,042,890,026,992,
506,641,090,643,944,851,874,892,659,512,452,370,039,402,703,052,179,999,317,
402,505,539,211,129,839,685,438,868,121,875,706,260,408,280,365,863,845,749,
602,974,412,784,089,537,577,072,837,516,302,720,743,676,070,370,976,993,283,
078,088,703,382,256,988,167,405,206,042,401,679,766,209,221,866,908,205,305,
929,267,453,241,141,033,305,183,903,909,898,162,635,641,501,063,357,005,733,
465,511,433,660,121,489,711,272,371,599,373,125,667,568,272,719,531,436,834,
666,030,343,650,140,534,341,561,894,913,626,920,601,551,871,137,163,952,209,
680,473,756,340,804,543,705,518,673,378,179,798,698,758,982,716,086,473,201,
021,779,488,758,101,338,582,315,248,763,646,530,510,085,766,450,492,684,808,
793,920,635,430,224,925,294,822,104,245,071,424,958,920,570,000,526,644,521,
050,465,755,093,168,687,815,719,732,297,890,943,563,123,426,810,537,470,201,
385,583,195,965,198,746,363,569,503,544,706,155,719,455,840,034,134,221,665,
230,279,893,324,898,614,857,361,206,669,287,501,324,416,106,567,701,403,091,
490,805,711,581,037,357,738,477,864,724,856,445,757,339,144,505,152,848,659,
349,291,524,130,543,354,627,634,898,071,833,000,217,705,945,251,010,065,319,
341,221,183,557,192,210,868,263,231,074,803,826,857,296,019,043,823,196,532,
112,220,562,922,570,268,720,992,452,236,708,991,126,238,682,286,885,236,572,
411,512,300,664,106,204,208,413,120,332,025,191,093,609,432,504,386,847,292,
565,058,058,311,412,211,837,005,380,914,066,072,297,335,279,112,910,057,843,
625,002,451,796,658,128,389,122,565,333,595,604,246,342,973,836,908,435,585,
950,754,799,553,212,838,946,033,130,764,199,506,254,727,112,846,918,502,363,
763,743,400,500,277,195,226,563,170,740,311,913,798,800,766,832,670,076,580,
748,433,744,387,657,048,457,338,801,797,934,052,709,256,565,968,292,128,865,
777,766,975,009,355,912,403,686,843,646,170,342,587,249,955,841,736,642,907,
867,155,479,825,209,144,352,930,859,477,001,660,715,170,290,473,968,368,409,
323,820,275,522,645,180,411,192,984,775,378,592,218,455,473,489,056,348,156,
685,406,175,727,087,173,393,608,715,311,457,521,142,358,584,736,151,417,127,
198,607,418,626,226,598,553,089,461,862,668,334,145,278,159,159,172,177,420,
165,319,520,420,138,848,829,359,622,838,615,341,674,097,842,604,408,318,230,
359,084,722,229,393,614,574,755,455,430,682,822,139,216,949,120,647,307,865,
251,749,395,858,094,553,162,959,442,616,843,693,237,345,700,321,799,369,229,
555,013,563,946,020,502,684,509,103,300,170,125,081,968,134,305,607,690,029,
036,492,103,554,662,688,988,089,255,420,315,503,174,512,239,139,402,503,390,
698,694,828,184,042,460,821,053,042,649,741,888,923,820,400,152,753,394,912,
013,105,297,758,196,527,276,788,417,792,811,228,918,233,833,800,163,844,404,
851,407,246,247,615,852,807,262,006,441,451,287,608,821,655,477,988,883,774,
392,524,965,871,006,310,379,137,434,846,817,301,527,422,904,481,723,571,543,
128,066,570,657,557,541,579,677,848,843,959,512,582,510,250,919,535,601,173,
037,422,194,762,145,605,859,430,676,938,117,007,009,489,744,099,716,818,235,
569,831,438,123,325,137,584,013,021,215,617,039,507,174,689,494,998,404,332,
553,339,293,509,249,031,205,040,501,698,329,284,027,470,418,156,206,841,708,
832,906,751,351,843,594,595,144,493,665,247,589,971,102,881,041,430,506,799,
419,348,290,545,601,505,051,997,889,424,488,941,175,487,632,234,692,940,285,
974,036,577,231,399,289,776,686,865,329,953,037,729,282,898,932,200,344,322,
893,047,447,603,888,279,356,836,198,782,554,841,412,713,261,922,939,150,845,
694,829,660,936,472,109,635,639,984,553,781,571,026,635,438,158,734,182,214,
237,943,477,646,208,706,983,815,383,599,395,803,362,702,323,089,869,371,462,
996,744,804,093,556,680,557,426,910,131,774,124,522,138,048,745,102,407,302,
733,619,541,636,067,192,879,762,278,856,212,740,328,244,006,690,012,807,786,
081,281,057,921,007,437,839,733,658,604,676,038,493,054,848,541,753,404,477,
432,744,467,213,029,205,105,010,785,547,089,562,490,644,470,685,186,137,634,
708,891,566,217,961,612,158,556,867,428,902,162,351,159,736,807,545,341,994,
580,995,389,602,129,654,373,430,464,852,096,950,671,144,909,975,672,962,924,
140,281,236,313,536,903,021,494,625,813,847,173,615,899,187,949,825,358,161,
309,357,996,220,278,835,189,171,108,665,699,925,139,138,750,700,084,165,497,
747,193,342,647,287,469,091,042,383,605,673,282,470,826,855,548,419,675,440,
814,718,074,405,735,887,589,569,315,596,451,239,101,060,340,963,282,883,287,
247,250,199,981,980,336,199,908,976,818,431,862,273,770,680,519,301,339,252,
170,974,684,121,633,451,471,857,307,621,963,597,592,970,567,286,862,002,029,
493,144,707,811,887,100,692,705,189,782,865,366,083,077,849,851,986,486,582,
830,459,199,945,060,591,686,945,317,052,380,473,234,600,510,282,373,094,855,
330,951,322,271,869,214,301,844,997,263,177,796,689,234,232,306,433,754,373,
840,520,169,938,378,648,944,347,561,599,082,413,494,577,115,790,045,480,574,
857,279,856,772,293,705,269,885,265,007,280,880,430,248,382,256,385,960,623,
591,260,077,039,155,921,254,761,473,592,737,408,282,876,619,947,952,088,103,
785,137,159,474,054,819,807,027,834,202,682,879,537,344,149,405,197,589,665,
444,398,650,820,827,078,974,546,207,635,501,840,889,460,171,647,630,088,158,
765,991,064,134,833,402,627,179,112,806,350,152,681,338,770,395,085,440,529,
730,979,185,333,570,726,568,145,209,337,092,307,282,880,723,090,256,917,941,
560,994,702,081,116,914,076,953,537,987,593,489,080,256,439,238,094,074,832,
532,448,608,366,373,514,249,490,342,919,134,251,198,338,585,124,000,114,815,
302,617,396,484,966,953,479,522,611,534,245,355,183,843,683,736,583,316,523,
981,916,352,338,403,995,996,002,649,389,753,590,225,664,946,080,303,819,115,
715,705,306,965,981,317,326,796,614,476,427,627,842,128,249,954,668,994,671,
675,359,414,182,948,234,678,110,527,154,724,527,411,019,706,393,030,968,725,
419,891,515,810,065,881,656,788,387,254,685,597,858,664,017,080,202,558,914,
143,239,854,492,710,735,897,717,532,196,984,012,826,827,540,072,351,306,352,
074,568,414,893,948,114,550,359,719,209,517,139,724,677,526,908,909,561,900,
353,107,162,946,455,541,017,012,009,658,656,219,094,797,695,080,001,043,991,
232,644,861,310,675,386,422,633,029,441,171,783,006,631,459,626,017,887,788,
040,180,498,149,330,678,673,442,698,837,083,292,276,829,109,306,054,250,870,
698,031,423,395,728,100,014,613,522,351,765,361,223,982,285,230,425,261,117,
106,756,002,770,343,873,961,960,024,799,534,056,290,622,319,290,239,994,583,
345,203,294,290,700,503,040,804,718,458,048,405,417,785,491,873,071,221,431,
203,873,467,891,001,861,707,488,247,764,831,093,230,331,426,050,827,880,782,
187,435,864,066,990,499,993,796,970,385,097,358,090,457,961,359,342,200,777,
637,823,120,196,460,143,845,014,544,073,673,937,109,313,818,135,272,719,834,
264,331,591,842,037,424,350,138,450,156,481,290,609,618,792,215,112,637,265,
166,391,344,119,263,392,866,419,155,095,319,932,466,782,842,809,386,251,915,
214,960,913,845,614,301,067,081,703,534,653,596,499,352,269,293,037,224,920,
719,589,466,306,603,343,387,110,735,324,792,096,105,213,635,587,551,055,185,
727,825,663,993,246,243,388,474,298,470,955,119,010,571,029,440,305,294,500,
188,002,878,142,956,029,822,588,797,058,554,119,154,535,661,521,508,892,946,
309,640,560,484,343,455,110,153,694,246,347,983,546,018,071,167,994,166,262,
396,144,843,214,115,722,637,558,370,339,952,159,150,886,135,986,765,379,407,
302,452,274,812,418,549,543,152,937,648,144,110,670,737,206,994,426,545,021,
505,724,053,516,051,972,683,631,058,528,187,371,898,741,967,934,587,123,862,
397,894,151,695,014,973,443,922,858,620,105,409,894,198,695,743,671,962,032,
068,077,465,605,969,284,399,188,904,243,543,310,637,300,460,871,661,277,499,
264,808,460,347,445,876,080,588,105,988,685,074,320,083,101,083,638,633,095,
868,890,133,618,496,320,941,218,546,429,191,383,850,166,090,394,952,119,621,
642,610,059,356,952,592,941,698,831,397,285,272,125,315,633,211,083,788,740,
791,881,109,128,924,823,081,693,847,452,122,643,474,763,935,163,428,112,398,
718,330,052,830,397,277,840,629,957,575,182,638,331,256,406,075,362,884,832,
848,284,623,913,032,622,377,668,130,997,677,573,564,364,459,127,125,153,802,
677,469,022,972,503,376,590,335,833,038,347,878,602,379,481,035,247,105,339,
152,429,520,525,419,233,137,101,509,276,324,951,636,074,217,566,955,531,865,
071,049,570,428,617,515,388,785,782,993,546,763,724,820,893,752,127,952,701,
146,014,236,352,717,515,124,084,112,999,087,338,824,579,971,173,588,103,897,
319,476,907,227,327,467,384,290,568,553,204,407,960,160,068,887,718,597,524,
527,307,923,366,143,195,963,576,501,243,172,760,340,440,733,013,571,559,785,
545,795,851,778,817,735,818,727,575,307,465,070,857,136,878,240,548,348,144,
755,905,129,434,058,522,628,447,828,334,931,801,492,994,697,362,333,107,895,
851,989,691,083,457,715,276,791,233,519,952,370,510,142,099,857,667,885,929,
763,668,295,042,075,728,445,645,084,369,059,981,871,814,342,661,241,806,546,
539,042,809,095,232,347,620,535,248,987,821,166,152,682,905,972,339,339,450,
638,776,519,127,056,355,198,330,174,358,008,522,208,270,826,205,066,363,799,
589,495,595,251,286,582,707,161,682,734,370,549,797,970,748,447,270,328,948,
094,079,006,464,133,079,449,924,291,229,374,850,188,876,240,169,271,615,166,
932,631,393,897,024,445,558,712,370,115,162,892,878,700,639,205,083,393,790,
786,638,861,504,264,900,757,702,645,422,398,211,980,980,286,889,450,309,517,
356,268,784,634,330,641,347,838,064,758,693,726,412,953,161,226,380,538,290,
481,091,142,512,743,317,550,441,975,645,863,996,652,739,471,461,002,362,665,
539,494,281,995,748,678,956,774,148,677,031,799,186,165,421,735,455,277,766,
775,138,872,010,953,070,111,707,485,657,821,346,828,125,245,903,673,170,328,
045,625,561,629,192,330,526,564,144,149,636,848,224,114,677,102,674,508,222,
843,478,104,502,908,326,641,726,080,164,759,901,085,261,289,382,829,147,000,
607,616,386,133,245,862,194,839,638,479,090,868,643,006,641,229,866,548,206,
182,671,702,491,956,933,420,209,423,719,676,143,176,975,700,230,467,077,943,
657,778,492,927,606,756,851,110,312,125,837,439,693,757,999,195,532,104,247,
825,431,271,831,911,099,270,020,542,615,747,741,885,654,731,513,592,866,838,
042,327,290,818,660,648,315,726,375,100,417,385,043,872,209,724,694,832,665,
387,873,217,194,189,750,596,423,771,168,905,089,653,227,566,973,602,785,002,
005,552,853,926,170,125,132,441,113,819,252,483,795,043,259,117,919,167,960,
694,086,094,170,024,562,506,452,866,024,216,972,146,832,487,504,618,001,012,
024,243,849,641,955,792,060,669,355,311,720,361,302,966,279,090,045,238,820,
590,309,159,298,327,317,623,262,844,571,936,234,284,201,257,286,354,408,208,
110,844,958,597,978,597,328,477,300,639,757,428,033,119,591,948,572,660,858,
076,266,460,122,192,263,851,535,596,553,136,228,746,158,012,001,773,488,637,
537,011,754,166,731,111,701,141,988,933,740,006,987,214,722,284,667,422,700,
008,862,342,594,851,455,804,911,612,147,955,817,858,112,649,085,468,365,063,
995,829,043,904,236,483,627,051,992,095,838,818,215,930,385,937,813,089,513,
371,387,085,499,941,127,117,152,781,127,805,683,610,225,703,157,398,644,839,
459,284,979,074,730,192,368,733,532,863,732,555,711,647,236,302,971,519,820,
202,350,368,932,508,856,244,538,568,257,962,197,143,466,933,250,484,685,226,
793,019,687,975,068,137,720,071,132,578,767,589,359,426,500,242,929,650,369,
604,575,873,059,015,694,501,512,105,017,229,008,946,139,663,713,335,445,116,
500,039,925,029,536,922,069,971,185,060,157,397,907,701,087,571,621,462,477,
299,374,943,589,499,990,505,659,039,260,647,049,577,199,451,504,256,664,400,
984,668,016,675,444,261,428,479,279,484,898,886,978,482,770,135,701,073,929,
573,449,864,954,134,751,028,009,028,040,130,552,516,247,169,520,370,143,153,
472,758,377,997,889,237,575,478,110,311,085,920,599,282,818,819,832,903,441,
349,868,309,014,891,580,558,274,594,498,839,720,814,531,187,657,651,428,911,
337,708,132,380,566,537,503,932,796,351,903,736,524,167,361,957,947,937,555,
472,923,937,984,257,507,642,245,450,837,227,381,801,529,441,905,175,128,688,
530,824,457,388,591,076,146,754,225,907,987,595,480,014,401,553,875,842,020,
815,980,677,670,556,238,965,858,679,481,072,433,759,975,123,835,773,533,975,
815,910,465,020,294,523,803,441,479,262,602,608,373,609,103,363,776,085,729,
455,053,619,714,410,244,070,390,189,295,543,687,993,682,450,456,168,089,868,
512,051,557,883,690,010,282,605,125,209,367,142,422,541,777,103,361,179,169,
924,468,372,110,527,867,745,623,738,061,647,239,123,929,859,766,328,794,554,
825,286,519,111,992,507,862,948,985,568,997,213,721,440,057,240,573,610,791,
689,045,389,938,139,139,027,285,509,390,330,760,699,625,514,219,091,440,194,
380,845,417,272,413,956,926,635,435,156,376,813,409,426,151,051,304,069,696,
630,530,691,681,522,867,754,954,843,388,724,563,989,130,853,109,424,760,088,
523,322,898,055,659,493,072,591,118,584,676,825,410,301,094,344,423,485,442,
884,909,586,105,203,406,663,890,998,324,385,274,771,805,352,844,387,351,349,
019,149,630,227,102,225,126,503,064,210,656,342,783,447,643,479,501,306,041,
437,455,359,596,506,441,139,875,350,780,948,231,552,798,122,807,352,464,790,
651,510,699,085,185,189,837,228,485,486,443,439,452,034,005,156,192,586,403,
908,548,265,372,130,099,353,297,236,763,057,824,392,665,411,058,942,252,826,
012,501,170,107,089,897,106,617,108,888,264,819,195,920,450,499,503,792,399,
942,668,170,587,624,225,692,397,493,360,412,875,211,738,870,705,288,321,587,
007,869,131,012,411,494,623,637,200,720,439,759,945,220,254,474,536,567,986,
174,205,091,325,623,218,606,910,585,017,818,373,053,996,345,472,322,369,298,
877,717,558,719,276,808,597,431,234,015,485,668,970,274,117,203,754,504,376,
663,164,703,106,387,625,575,000,713,628,277,389,219,595,770,095,299,189,950,
206,230,436,502,750,269,565,750,097,328,606,926,240,411,490,749,322,775,771,
219,582,804,526,606,415,922,586,203,906,557,102,567,709,193,057,862,424,658,
464,514,834,104,788,479,187,968,131,046,654,623,990,899,488,310,351,138,719,
274,259,249,573,004,855,594,279,467,272,544,672,992,704,093,660,943,106,357,
499,399,463,932,549,067,824,255,173,866,238,374,241,148,632,154,301,182,363,
841,151,085,619,317,307,197,890,215,402,064,717,335,472,548,047,434,742,487,
022,776,352,707,747,612,513,726,136,633,811,354,815,068,532,478,643,248,178,
468,520,057,999,959,322,160,311,389,835,698,811,013,054,613,952,765,965,642,
296,957,272,230,485,715,488,296,670,150,074,659,026,525,569,939,952,993,058,
254,061,903,663,562,056,458,197,115,099,490,506,875,996,030,448,428,318,420,
867,960,298,213,341,173,911,014,828,715,152,947,672,211,137,697,756,950,394,
375,354,536,752,247,237,011,121,882,898,757,988,899,223,874,351,880,533,073,
343,842,697,682,903,907,102,551,363,869,739,919,675,269,590,354,205,496,911,
495,630,088,180,162,776,881,514,127,992,929,317,900,448,283,639,569,569,093,
410,828,416,874,985,395,407,605,774,313,011,538,727,152,499,935,581,203,370,
094,934,541,782,898,446,277,134,485,111,035,208,702,676,753,912,148,660,321,
448,388,008,506,162,123,461,113,292,481,877,812,800,525,164,523,484,289,705,
152,911,508,805,860,413,039,577,190,746,087,769,213,591,198,186,235,572,568,
130,309,693,599,500,232,497,807,457,052,963,963,801,116,034,586,315,509,927,
072,077,472,685,488,166,684,702,387,018,711,846,573,172,924,552,789,284,280,
415,231,094,431,627,824,526,796,161,199,518,078,002,867,425,131,552,061,503,
978,141,290,465,232,087,110,819,896,689,816,805,693,217,054,754,634,259,180,
847,554,348,225,340,425,779,474,344,254,307,846,902,963,374,047,703,555,467,
933,620,307,665,484,334,702,384,883,771,571,689,253,977,853,870,047,366,513,
057,325,009,434,935,981,077,528,057,823,591,496,757,060,542,853,218,766,161,
257,970,816,641,985,359,924,029,766,095,303,870,914,981,644,962,334,116,240,
413,113,156,757,972,350,607,009,570,067,796,368,530,718,962,356,932,347,632,
333,907,891,739,014,257,470,682,589,496,902,359,263,593,559,606,980,537,220,
557,284,705,345,729,169,979,408,914,435,312,495,377,619,670,072,447,109,543,
091,542,345,429,895,022,881,046,449,185,718,462,869,248,418,865,999,005,469,
598,806,415,964,133,646,152,483,944,045,457,944,426,877,093,754,942,901,882,
733,091,642,698,359,094,986,184,323,134,386,663,800,389,912,340,394,508,918,
285,983,909,605,904,325,491,429,575,932,052,443,613,983,188,750,626,627,074,
383,714,945,197,869,658,099,056,743,496,778,347,384,416,163,182,487,159,180,
585,269,853,154,517,339,002,543,422,695,734,625,158,469,531,689,200,532,256,
842,837,960,878,627,236,455,030,946,453,270,008,228,299,694,218,804,660,393,
910,221,738,751,043,092,461,744,271,901,332,466,931,693,187,738,107,975,640,
205,182,870,700,681,383,968,891,757,191,834,995,029,695,463,406,553,761,566,
709,903,233,736,916,581,340,555,009,218,967,319,498,785,543,663,159,069,184,
800,538,623,376,779,447,774,861,368,231,093,630,585,287,647,620,642,229,885,
007,465,866,650,556,698,717,512,477,267,741,658,951,759,710,589,876,833,524,
220,122,086,319,243,527,632,693,421,333,769,442,793,156,652,763,710,790,992,
043,287,085,406,298,024,203,291,680,097,024,465,178,848,851,235,813,997,578,
444,209,377,966,613,732,522,698,534,658,295,932,447,135,249,881,723,708,907,
324,304,796,538,434,676,333,200,553,048,925,906,911,653,044,173,155,373,426,
719,097,131,618,441,682,058,834,680,701,073,743,013,001,319,952,528,425,712,
423,179,133,922,938,029,733,137,217,126,717,019,491,892,426,701,773,431,195,
454,312,989,228,248,372,078,328,100,552,339,688,562,245,615,974,049,205,223,
003,129,796,300,136,906,556,276,914,554,638,864,488,126,965,027,362,551,499,
843,577,087,026,698,455,397,619,529,451,298,172,124,748,646,268,140,172,892,
168,780,143,979,411,557,983,207,871,404,863,285,818,212,387,782,078,578,972,
199,237,529,990,055,533,492,433,638,718,331,843,382,777,735,445,862,636,207,
599,182,137,262,120,595,766,705,664,342,064,229,349,553,519,058,775,233,226,
151,251,480,757,816,105,472,533,593,281,591,884,805,650,085,913,626,793,027,
435,588,752,369,653,710,580,169,812,207,953,599,292,974,581,216,944,797,942,
104,972,973,617,026,723,955,331,407,487,355,924,945,568,407,179,060,715,234,
371,946,812,555,180,311,886,319,377,138,918,978,048,492,358,676,891,349,389,
609,949,521,474,962,236,259,476,298,367,033,025,890,417,382,057,305,986,817,
863,914,071,069,420,126,254,236,087,397,555,932,898,350,817,161,995,516,424,
827,267,355,608,558,020,402,496,775,930,834,825,398,131,157,138,545,301,713,
776,936,227,768,664,129,214,990,046,823,136,880,808,536,294,991,082,766,787,
069,722,758,142,180,734,801,728,619,562,943,424,572,097,152,526,480,495,977,
238,354,213,569,307,273,025,685,624,623,608,169,763,912,694,991,141,975,312,
248,713,246,193,094,789,325,823,610,635,294,168,928,666,769,869,718,491,147,
276,723,788,735,980,707,860,820,323,116,326,439,865,663,842,790,694,301,159,
363,890,047,298,009,108,612,988,412,143,698,999,156,481,725,633,647,777,864,
389,159,215,716,586,241,930,354,002,632,151,697,692,313,929,469,052,460,007,
778,994,513,996,182,759,530,713,166,216,169,638,610,939,161,465,797,627,550,
208,406,428,021,852,961,240,229,928,358,910,132,081,308,581,188,628,884,358,
224,516,872,144,066,107,790,419,740,445,181,712,892,528,089,755,129,204,464,
427,603,601,205,859,120,510,012,234,127,623,424,756,275,197,660,640,899,059,
571,993,011,899,117,878,301,496,992,182,750,260,945,232,685,053,482,776,359,
028,143,417,581,788,377,058,878,662,863,345,754,422,865,885,057,071,800,178,
366,416,087,810,111,853,737,795,886,888,832,210,073,441,314,580,985,170,440,
317,160,489,742,823,638,215,990,730,615,014,093,963,340,999,311,608,804,330,
704,988,286,308,733,222,950,184,312,563,917,023,524,049,016,310,300,684,770,
422,309,455,000,690,014,650,939,780,241,875,966,935,031,659,200,031,333,501,
571,427,233,312,564,619,010,491,188,078,584,655,855,049,918,070,856,657,992,
206,826,519,747,637,705,655,552,639,280,937,999,952,004,880,079,622,730,837,
169,551,318,320,144,803,819,944,120,055,787,679,190,861,475,039,821,607,211,
430,186,878,459,911,089,802,752,634,483,896,798,265,892,433,405,702,760,720,
359,361,485,013,264,739,690,442,202,364,240,829,752,538,069,804,547,424,805,
125,375,495,560,856,948,897,356,273,330,558,912,070,703,777,704,918,589,287,
336,528,631,002,436,442,394,312,071,121,277,843,869,648,506,494,751,940,762,
390,807,791,709,040,036,449,789,578,823,189,530,314,642,878,480,461,980,974,
986,030,147,933,290,522,603,400,600,338,135,663,026,500,704,442,168,802,427,
334,374,166,331,112,643,263,380,230,467,675,786,280,046,001,780,370,712,754,
615,919,142,410,835,096,278,668,678,097,193,041,203,377,297,197,257,201,052,
334,385,780,554,398,187,312,264,916,711,415,297,936,005,562,692,347,324,556,
097,769,909,147,345,627,688,399,183,685,012,577,644,677,600,963,085,627,138,
525,716,583,313,414,229,451,365,469,588,360,111,645,480,043,080,257,656,366,
286,051,759,036,518,572,455,131,005,218,169,071,559,263,318,742,452,207,657,
225,744,095,825,443,140,615,044,540,940,906,908,717,857,384,651,910,331,823,
612,333,382,125,771,308,089,519,113,501,289,157,967,514,288,812,443,406,443,
135,879,262,160,355,694,202,353,640,260,654,785,358,180,176,030,455,211,848,
234,773,983,648,537,382,306,583,441,580,696,381,825,518,865,152,692,404,804,
413,761,147,380,109,878,274,375,286,808,602,665,010,111,317,948,555,036,169,
409,009,804,495,762,838,186,177,807,585,786,924,863,693,722,795,776,180,440,
022,008,900,734,146,234,107,020,222,606,894,688,006,208,917,843,687,004,020,
984,911,703,327,631,798,114,757,473,650,829,959,551,720,161,964,989,284,253,
419,638,856,992,988,413,425,802,223,210,507,790,551,877,147,182,318,845,660,
844,714,674,806,722,763,164,417,516,580,767,429,555,703,481,381,965,639,522,
144,081,855,078,105,425,412,927,659,324,635,728,725,864,690,231,422,910,127,
056,678,419,899,059,509,346,614,464,243,553,702,849,366,731,190,098,178,276,
732,802,248,276,119,207,393,614,742,479,995,114,421,296,487,181,131,625,401,
606,977,215,040,501,723,385,141,254,432,308,826,232,084,280,314,264,352,962,
218,671,259,929,101,253,202,051,760,054,756,508,348,637,269,689,888,671,632,
858,880,988,764,587,035,775,516,816,751,106,136,286,722,500,380,828,910,006,
599,335,280,595,544,431,060,095,573,389,030,232,982,481,202,668,241,367,471,
975,076,730,321,081,578,337,131,726,307,737,580,831,310,704,407,145,072,854,
547,917,831,828,738,654,985,994,572,303,865,607,787,934,742,178,862,879,907,
466,391,957,907,417,048,138,057,628,762,520,251,324,371,133,973,119,700,371,
234,410,106,525,588,709,845,725,970,461,728,890,463,712,772,250,984,698,230,
927,200,504,548,738,732,792,339,092,345,002,884,017,270,828,242,229,726,500,
489,840,891,426,073,296,348,024,852,644,792,743,633,146,563,147,607,249,368,
434,914,264,448,525,039,327,839,453,304,529,470,807,091,851,868,594,979,129,
744,227,689,962,100,716,133,756,487,438,822,575,014,430,765,387,043,242,594,
959,986,212,020,676,395,960,851,163,935,802,966,296,976,351,648,265,526,958,
062,648,517,083,175,611,788,737,739,086,886,545,642,043,713,806,157,138,016,
247,827,164,920,376,820,168,066,186,214,150,995,638,846,873,263,288,390,488,
095,206,860,913,311,034,581,503,919,378,935,399,207,472,929,461,358,770,117,
435,692,272,732,182,519,330,487,341,650,453,019,599,993,013,222,387,410,514,
073,734,508,079,492,954,328,009,659,074,297,963,714,478,671,474,051,636,579,
206,849,737,530,604,869,811,807,181,354,550,524,423,244,146,145,524,915,378,
125,353,804,519,280,754,652,738,715,931,269,496,484,293,947,659,094,263,738,
911,287,284,784,594,799,017,333,282,949,969,834,890,164,806,382,851,327,849,
993,261,078,150,363,122,518,323,813,564,296,459,923,291,082,238,560,350,417,
560,873,769,878,751,163,595,024,745,575,468,434,846,438,961,700,291,249,706,
331,382,771,103,103,906,600,578,308,990,626,373,528,435,150,040,987,362,422,
596,235,484,802,504,592,643,509,063,409,519,313,393,431,787,436,297,060,663,
624,271,197,526,752,575,488,208,034,632,328,877,439,852,703,185,736,411,453,
474,848,851,456,205,387,566,754,905,581,876,148,130,270,625,456,881,092,408,
567,611,677,693,436,208,398,814,776,692,840,044,368,288,152,231,396,845,540,
073,417,271,604,171,913,094,757,776,509,800,571,218,873,812,945,610,684,913,
050,492,007,351,427,430,510,793,826,219,135,326,767,739,746,380,010,020,937,
244,225,562,393,802,065,590,653,642,497,782,907,013,319,381,587,039,710,694,
179,015,115,571,447,536,293,604,115,206,408,281,574,718,048,847,934,950,603,
948,285,340,503,433,319,134,019,892,250,679,667,034,869,621,728,338,501,580,
868,079,389,357,554,038,971,428,270,263,589,279,894,446,803,796,912,294,687,
160,825,699,947,456,308,069,412,941,481,710,746,154,244,034,963,240,658,232,
243,136,638,329,962,616,096,373,901,313,227,639,427,856,953,315,481,894,836,
128,783,705,778,073,631,938,356,167,344,234,181,724,587,622,148,347,853,120,
836,971,976,595,224,335,374,586,621,360,891,054,729,742,862,222,763,667,077,
697,380,839,544,851,158,787,124,611,954,513,133,466,686,154,757,090,175,253,
433,086,059,895,379,100,339,564,739,657,907,618,479,003,832,183,200,846,556,
983,885,871,457,674,939,258,488,143,956,410,555,428,939,999,173,841,296,748,
341,103,906,130,987,210,498,225,716,113,151,621,419,824,614,033,683,383,615,
225,970,383,549,840,116,359,273,744,044,113,291,728,061,984,854,088,032,431,
903,245,310,321,328,554,758,380,590,217,142,400,850,608,570,411,285,648,265,
783,671,385,809,067,729,964,504,156,644,865,791,498,496,926,273,410,533,711,
357,606,352,917,333,687,278,269,783,059,345,313,775,694,457,720,256,324,923,
114,025,109,275,837,223,294,378,909,436,192,064,411,232,045,130,653,248,668,
076,604,642,013,048,366,911,606,705,724,121,865,952,739,355,072,135,240,815,
440,196,762,741,442,008,115,994,032,525,760,543,778,909,561,184,596,655,272,
793,424,406,349,261,481,830,283,331,446,679,547,549,400,870,199,836,643,223,
333,544,748,992,707,365,279,914,315,030,134,676,536,947,415,906,680,392,604,
363,965,907,046,759,648,227,540,230,200,369,248,621,465,515,013,186,789,566,
602,114,399,808,042,509,939,293,783,001,397,105,237,438,116,948,369,349,580,
032,136,197,699,735,243,829,050,841,688,413,058,031,814,861,910,979,379,922,
979,327,930,189,942,195,305,391,707,072,170,888,588,813,596,826,370,998,302,
335,221,534,147,653,835,711,669,836,453,196,629,826,306,244,627,584,538,252,
902,683,502,610,899,411,459,390,603,696,958,417,207,822,959,518,414,418,047,
522,527,429,802,484,547,404,810,231,984,359,779,341,014,684,229,135,326,809,
177,712,172,243,754,625,628,471,697,654,458,943,660,348,135,030,680,679,044,
149,488,155,098,699,366,355,519,344,073,124,505,808,286,872,820,368,728,384,
643,586,070,414,028,367,323,381,460,777,784,908,348,279,677,944,066,074,950,
451,065,132,572,762,428,814,384,027,502,908,341,706,204,712,424,968,495,367,
796,502,479,205,103,232,616,622,048,392,131,993,200,805,432,146,127,114,288,
052,403,858,000,559,775,065,576,534,133,078,408,704,995,860,568,282,884,467,
339,635,924,445,952,092,890,161,422,276,059,531,083,865,134,717,934,405,676,
048,300,425,131,876,510,061,464,149,023,479,286,181,000,345,598,813,144,029,
156,023,900,582,830,927,811,297,529,327,869,860,628,490,865,158,091,681,069,
473,447,686,728,209,292,663,220,593,830,719,612,968,710,136,989,408,132,121,
177,014,103,365,914,900,485,363,514,920,091,475,659,169,542,047,791,269,015,
713,227,651,995,283,144,119,178,929,586,148,818,925,207,045,705,861,950,605,
242,079,180,502,326,724,479,631,717,111,228,647,239,745,153,875,326,784,417,
320,720,285,051,844,935,469,929,712,358,756,173,970,167,735,945,064,200,429,
358,865,829,229,942,181,618,665,790,369,812,265,915,521,714,122,553,915,998,
237,912,475,891,099,870,915,165,003,817,951,722,664,751,807,526,073,452,636,
329,560,990,003,480,823,197,220,496,052,313,238,726,965,494,084,815,169,769,
791,782,919,061,773,518,605,803,275,490,547,799,725,733,388,744,461,803,178,
846,170,376,181,445,157,211,652,975,451,290,078,169,966,414,962,724,621,258,
347,263,331,409,710,898,759,424,540,118,756,266,398,783,027,609,607,140,795,
622,214,077,946,419,960,176,052,851,874,746,507,555,089,374,585,450,360,430,
185,394,484,626,360,242,819,855,220,006,130,792,776,431,583,501,615,219,546,
297,607,810,992,181,269,614,856,465,784,305,790,671,530,938,785,111,174,362,
867,398,411,032,930,385,502,761,784,828,652,886,145,320,309,059,221,282,921,
471,289,669,889,355,016,853,871,182,634,129,442,821,054,904,735,767,329,358,
635,570,711,762,165,334,994,532,390,025,983,926,779,043,925,804,639,396,161,
275,014,421,117,632,935,241,855,193,032,189,376,268,655,062,736,171,716,181,
635,051,259,199,965,695,228,371,806,996,900,088,317,013,090,442,048,232,844,
393,686,596,951,524,221,460,599,124,433,764,171,391,157,920,741,675,424,199,
910,799,460,393,040,559,987,476,540,781,668,747,703,046,082,551,603,677,349,
675,878,536,548,303,217,991,966,284,475,941,248,015,833,608,497,770,288,535,
242,391,495,543,014,834,078,000,275,294,285,518,196,274,779,334,468,204,579,
100,053,406,465,671,073,478,509,339,818,143,217,622,053,549,672,083,865,657,
606,604,729,046,928,209,565,790,270,360,691,935,959,622,943,487,175,205,822,
386,356,717,990,409,358,235,105,449,234,808,690,827,492,783,809,004,196,451,
466,879,993,641,184,363,195,701,047,297,210,448,732,112,950,212,155,928,923,
181,013,606,976,239,074,843,367,489,196,846,403,201,028,775,630,555,689,101,
176,160,822,372,517,319,234,219,969,014,129,234,971,507,416,176,867,381,870,
884,634,048,854,794,491,005,533,010,904,616,029,864,620,084,833,490,733,917,
899,005,849,034,769,695,731,707,030,616,508,762,171,142,925,224,442,426,683,
478,663,666,751,340,208,443,667,861,113,106,889,023,403,834,384,238,856,172,
273,114,234,361,566,874,580,488,592,581,367,535,621,606,416,751,778,199,772,
055,161,609,839,459,957,884,867,586,737,773,256,441,389,451,550,631,036,625,
145,834,924,429,391,626,677,454,890,460,070,257,435,370,560,625,201,850,943,
812,717,763,272,145,528,764,216,158,644,066,870,471,419,413,441,267,930,193,
505,891,207,975,340,181,579,747,561,441,647,341,278,852,079,568,412,969,448,
620,665,103,597,542,653,892,957,885,517,735,607,771,566,631,806,413,289,647,
246,953,131,059,245,458,071,815,958,562,311,981,120,552,364,127,661,074,627,
038,973,716,424,415,967,413,288,397,489,532,145,179,495,325,519,701,698,301,
677,292,987,076,766,485,908,936,108,744,169,107,591,437,690,133,545,434,904,
189,602,019,348,563,243,488,664,732,815,760,807,272,435,000,541,821,674,743,
143,923,433,369,657,486,203,611,312,167,808,039,293,006,255,650,355,876,968,
795,060,030,283,146,390,523,094,298,689,080,083,358,633,031,243,418,964,780,
211,421,128,923,686,837,381,084,969,999,795,814,064,677,832,881,877,704,337,
101,386,876,317,402,969,791,806,815,440,911,093,632,809,538,679,244,592,843,
165,430,050,905,750,846,758,343,295,119,216,189,176,221,904,804,515,997,439,
808,614,327,674,822,455,577,648,863,709,893,161,094,221,021,047,509,614,574,
718,177,865,417,368,627,136,438,983,590,070,202,100,465,953,343,834,550,635,
952,408,673,830,105,261,856,661,662,622,609,647,014,748,733,443,024,890,268,
950,340,183,359,432,198,363,843,395,922,745,269,440,229,080,073,490,848,630,
535,675,662,809,273,557,227,222,043,281,962,781,456,225,082,663,471,913,424,
026,082,981,719,770,813,564,074,047,720,313,998,570,073,079,138,992,113,762,
569,637,291,675,541,494,418,329,957,536,421,349,061,707,962,107,194,086,630,
273,004,576,977,583,778,020,858,030,775,919,828,892,199,634,136,581,267,085,
845,516,943,248,000,770,046,449,811,764,006,261,815,083,780,885,347,692,613,
428,744,015,689,042,936,198,894,225,964,892,200,932,586,690,614,361,298,058,
734,160,283,443,868,904,741,529,513,772,720,511,004,554,273,447,900,543,605,
827,163,326,094,060,300,100,848,680,783,543,658,615,762,901,638,433,535,967,
225,682,693,385,149,944,289,472,001,014,685,483,053,005,726,898,816,484,442,
471,089,929,074,759,653,759,069,302,861,617,292,908,680,208,843,575,999,323,
017,610,457,762,703,834,647,017,554,733,760,139,373,858,352,762,348,526,195,
394,750,644,605,124,200,297,725,307,960,400,002,387,426,086,004,387,069,865,
921,909,050,109,538,949,528,710,695,271,647,148,192,455,633,328,558,456,965,
211,334,945,538,450,951,119,082,550,339,555,286,025,332,611,669,619,498,952,
822,822,352,156,805,245,785,462,805,034,191,579,672,774,037,797,877,873,383,
949,216,879,544,140,611,761,054,546,478,887,839,782,767,916,390,224,579,002,
108,160,289,043,893,539,963,454,291,375,677,564,738,132,829,078,925,741,091,
528,383,730,543,430,369,851,807,655,577,213,930,719,117,871,821,680,768,694,
270,701,192,361,141,678,119,069,116,782,695,832,037,827,861,041,951,814,870,
233,443,987,001,723,459,631,992,964,528,064,224,662,299,956,928,110,428,104,
520,518,228,332,854,948,910,069,945,378,592,979,502,251,702,085,121,623,508,
412,268,450,063,244,031,583,540,618,758,396,365,890,499,223,331,837,103,436,
560,652,610,557,347,641,057,256,906,621,580,928,042,401,948,041,658,959,731,
053,572,603,867,254,583,927,711,654,279,506,622,562,891,181,129,925,311,898,
194,819,878,618,593,263,287,336,647,620,263,702,762,607,530,993,980,109,293,
794,995,027,770,963,943,767,625,954,378,758,515,448,916,815,532,093,969,385,
931,325,852,983,211,762,534,409,668,994,946,851,535,578,612,183,413,886,577,
116,269,076,972,043,076,012,411,248,325,013,537,662,043,572,479,102,812,526,
381,009,786,917,752,462,867,508,346,891,430,462,624,016,828,824,996,472,974,
420,017,498,110,906,433,893,412,045,372,481,348,619,779,677,648,254,843,140,
871,254,111,908,395,707,091,153,748,650,942,842,668,062,126,165,706,884,147,
362,852,087,877,033,988,600,254,006,657,516,100,104,783,808,476,453,622,806,
613,085,343,138,440,949,666,446,105,189,883,991,328,287,889,916,940,733,343,
263,175,589,106,481,047,610,534,444,135,593,508,349,349,211,856,580,629,733,
472,063,748,437,467,996,772,800,856,813,235,215,499,683,982,322,418,765,346,
031,784,765,943,318,048,568,848,616,154,264,447,643,218,367,486,615,998,305,
707,547,901,243,373,165,057,618,161,658,807,097,039,081,343,574,032,910,482,
177,661,894,896,625,546,352,284,834,621,490,232,913,115,463,036,329,476,693,
487,535,714,756,576,724,332,349,504,382,195,384,073,526,867,603,807,334,807,
496,593,875,644,999,445,993,276,501,554,268,414,072,574,679,087,191,058,927,
640,499,398,437,705,858,085,749,350,199,588,090,900,454,982,631,757,730,722,
625,700,468,470,864,594,471,423,303,271,269,500,965,525,184,514,326,125,161,
282,022,661,007,707,007,105,293,103,219,376,208,358,013,320,379,441,918,273,
644,286,100,294,705,762,743,850,563,721,317,333,106,426,645,537,040,381,309,
510,914,997,647,895,711,509,544,033,834,461,157,471,662,304,854,516,072,839,
833,089,067,265,785,697,637,151,982,096,749,245,574,346,966,811,177,529,577,
678,645,679,971,535,209,406,970,950,962,232,825,346,680,230,567,681,166,766,
177,759,036,805,094,547,509,530,302,125,690,543,962,885,247,386,063,414,500,
805,326,036,075,258,614,615,862,944,967,597,288,042,460,257,955,689,084,929,
808,800,881,526,121,729,598,785,010,591,266,069,174,041,635,881,844,150,901,
396,926,554,092,565,256,224,592,829,125,696,899,113,125,246,599,176,547,949,
346,727,919,847,182,303,816,530,936,011,261,810,044,189,656,333,382,527,052,
618,324,645,928,465,487,774,528,582,108,909,655,020,807,587,444,037,889,019,
757,435,244,196,415,237,069,503,561,124,546,609,278,148,491,083,477,709,354,
354,549,113,333,500,463,183,687,841,110,614,307,665,419,592,886,839,049,991,
608,912,515,967,971,155,758,099,248,689,012,301,752,766,025,084,126,742,585,
754,064,069,437,824,544,919,807,457,017,811,363,592,967,596,779,134,036,417,
992,629,198,884,666,570,919,430,587,488,691,408,518,764,140,935,979,382,672,
360,148,821,345,450,947,340,629,779,407,158,094,782,155,836,971,174,803,316,
856,735,587,790,982,384,910,991,972,209,955,882,012,185,912,915,316,087,667,
715,023,673,594,262,847,690,392,371,839,104,481,541,372,922,149,745,768,975,
432,963,916,588,595,407,871,869,882,875,997,999,754,038,590,271,668,715,695,
578,130,238,997,932,137,663,467,899,267,171,536,533,847,044,422,874,594,997,
472,644,187,956,883,663,750,796,055,858,633,385,297,061,285,912,414,264,533,
020,173,630,474,061,040,058,189,909,576,707,225,688,470,845,767,400,100,816,
757,974,867,305,198,094,610,365,751,301,463,723,181,340,288,303,762,579,721,
451,789,848,896,527,155,417,232,588,097,715,338,876,969,496,166,314,008,984,
320,317,869,062,367,312,623,213,442,435,307,331,406,288,342,422,614,821,979,
554,425,780,444,645,427,187,242,217,243,645,144,159,237,302,185,747,403,150,
311,155,111,373,903,649,872,730,671,560,418,101,487,046,701,020,700,709,882,
871,298,914,803,494,790,328,209,667,876,372,537,293,000,783,646,393,560,515,
791,631,244,314,868,030,302,588,590,557,415,481,414,728,184,376,240,029,810,
465,361,648,059,923,545,663,059,761,610,027,661,859,132,071,560,614,449,318,
338,054,815,916,531,156,378,905,821,375,637,013,959,036,780,289,258,748,913,
221,265,559,377,054,528,307,116,356,655,300,388,535,058,698,403,378,271,720,
289,294,761,913,003,656,288,507,445,498,457,888,275,624,684,412,959,217,717,
759,792,812,314,285,446,953,544,697,467,100,638,634,369,388,507,509,501,112,
775,580,657,159,769,570,938,453,823,510,766,472,502,091,625,799,768,508,917,
708,052,946,321,564,960,013,862,297,953,272,547,538,828,856,331,321,347,990,
540,802,497,408,927,540,313,389,108,727,726,266,322,163,489,993,401,682,386,
398,219,644,401,861,843,453,118,609,431,596,449,173,371,866,887,124,121,596,
571,213,079,296,315,159,492,308,110,793,058,110,282,748,742,506,852,607,592,
275,518,211,111,648,854,747,351,991,026,132,712,177,727,387,121,106,362,424,
401,036,334,573,713,052,707,592,072,538,745,262,431,785,433,659,378,516,704,
970,889,056,772,296,421,511,785,786,462,239,721,583,649,561,337,437,693,401,
872,665,836,932,809,459,560,780,983,680,226,634,580,279,654,801,409,976,471,
437,943,715,315,666,533,917,911,191,991,256,768,373,243,777,655,890,916,444,
109,798,549,151,980,983,557,006,343,664,098,448,715,490,537,483,137,775,842,
635,761,974,627,157,292,910,240,176,536,992,190,396,017,374,835,448,391,344,
250,160,371,197,389,293,221,571,706,453,110,408,948,544,399,764,229,040,709,
343,597,951,445,248,396,735,417,449,644,488,524,087,339,378,287,413,633,799,
424,611,735,527,563,623,468,339,529,730,038,796,186,167,175,986,132,695,927,
653,123,670,329,107,737,950,326,381,748,395,011,248,608,370,756,554,964,103,
194,703,855,798,705,382,505,227,167,729,521,659,117,831,491,924,825,786,023,
888,760,700,101,002,719,271,277,171,337,884,597,097,523,454,291,645,451,097,
876,665,391,682,845,455,713,113,227,139,339,398,450,200,470,999,677,872,778,
002,379,885,818,414,283,671,559,160,713,132,634,461,417,136,600,756,258,432,
184,107,127,000,269,396,471,682,819,118,029,886,417,358,820,209,552,400,253,
580,749,783,314,238,830,837,648,612,290,906,681,243,851,031,058,605,818,504,
333,076,334,351,637,457,302,459,530,182,154,135,295,693,330,373,126,380,061,
492,502,963,791,591,484,176,238,289,902,577,801,010,766,776,474,719,169,633,
611,739,289,291,466,299,451,299,837,791,137,731,904,398,008,661,863,440,705,
820,940,503,609,508,076,672,030,303,405,704,210,158,789,379,574,395,898,034,
771,077,002,443,301,906,531,416,337,605,348,006,730,321,449,599,532,349,298,
068,308,244,073,804,505,206,259,358,754,269,730,985,940,669,754,958,286,194,
644,128,429,911,294,508,534,948,807,957,059,507,666,742,567,036,183,809,172,
343,575,885,330,775,844,044,740,643,127,804,770,309,890,992,983,421,282,698,
391,415,361,719,923,078,501,346,984,508,746,345,020,948,511,602,470,528,274,
939,113,194,846,657,630,562,194,614,026,140,915,287,799,845,417,882,460,182,
446,214,871,037,867,709,080,866,810,258,583,775,756,754,208,519,001,754,567,
618,029,690,409,042,764,958,635,828,128,675,098,820,887,032,585,991,988,444,
421,660,858,019,212,917,100,280,367,886,959,891,930,108,975,959,091,930,317,
407,815,383,088,781,457,290,278,438,541,165,832,549,018,289,214,370,986,036,
914,374,428,178,125,689,813,227,918,462,613,840,971,069,472,306,536,570,182,
095,209,590,684,702,271,624,806,862,783,187,663,949,187,240,545,748,846,430,
634,625,883,069,181,400,486,655,688,970,234,664,384,736,605,740,353,831,977,
966,957,282,550,626,821,756,686,862,211,347,804,210,812,199,829,771,301,346,
763,411,660,060,099,340,444,738,606,735,409,599,853,387,802,097,871,250,401,
976,167,707,041,960,721,786,616,544,325,113,154,537,104,336,305,024,672,640,
925,243,939,706,760,888,604,036,748,908,110,476,998,663,172,599,339,271,083,
729,194,030,214,256,396,045,810,262,840,439,493,525,031,486,599,098,539,824,
180,409,298,525,182,714,227,083,292,974,798,507,488,230,942,716,081,936,682,
964,214,748,469,426,118,786,659,327,921,088,635,598,058,371,613,699,407,844,
661,169,325,908,798,876,682,768,949,938,360,753,052,481,564,982,816,619,868,
552,441,060,291,951,847,471,828,055,339,559,515,743,640,872,126,954,545,875,
220,917,288,000,698,555,229,735,984,985,118,527,148,121,188,910,616,203,117,
097,747,189,553,156,657,758,387,631,151,767,669,640,620,477,742,595,622,525,
051,843,220,893,544,893,633,290,267,977,323,766,809,318,841,113,834,314,161,
844,945,712,688,993,348,663,328,060,258,476,411,979,075,095,377,682,443,749,
953,577,140,121,625,524,962,762,678,005,756,872,618,473,272,836,893,618,067,
003,091,246,127,445,871,561,890,304,989,739,298,237,100,265,793,017,827,632,
235,491,927,488,818,712,306,637,206,046,170,654,453,526,192,957,726,303,620,
909,581,513,238,921,453,419,560,740,000,812,296,508,094,063,734,471,609,160,
902,935,063,014,433,122,086,427,878,658,753,609,313,790,862,675,717,402,234,
886,326,345,970,345,263,858,209,454,064,429,689,441,207,354,769,915,625,072,
310,669,023,750,131,373,794,831,342,018,779,617,832,529,998,192,620,297,966,
870,413,166,016,763,091,433,146,148,851,678,152,614,621,328,054,332,964,596,
734,959,509,927,274,664,508,305,682,807,040,093,645,168,123,718,673,463,521,
403,861,655,044,052,532,723,384,080,653,852,492,414,466,946,255,560,152,843,
990,185,822,158,611,949,875,314,612,644,429,476,637,258,302,776,206,975,832,
401,332,524,085,983,464,308,213,608,070,552,972,251,194,964,741,396,103,753,
270,245,021,981,903,781,650,426,015,071,358,151,467,289,973,619,879,005,147,
587,778,297,312,280,569,776,459,907,816,784,343,731,814,059,677,447,989,020,
048,985,691,229,394,261,214,190,130,874,365,757,594,079,042,153,877,198,517,
302,033,486,764,932,100,338,978,295,023,377,126,937,276,775,671,748,074,397,
041,710,478,853,283,809,536,870,581,667,968,198,690,765,665,064,769,728,477,
772,382,155,172,878,058,369,795,576,113,659,532,932,424,497,154,015,867,473,
391,230,649,304,669,158,623,505,501,321,142,398,024,620,240,618,091,510,835,
398,016,813,737,131,872,143,970,214,001,189,608,522,889,055,442,371,003,828,
651,460,590,894,660,657,320,451,895,152,824,617,033,631,226,810,597,772,059,
432,617,291,749,284,334,739,501,436,332,262,954,708,298,245,482,230,669,918,
156,969,238,644,791,924,105,923,031,815,326,666,089,208,920,261,706,880,414,
867,066,049,925,434,639,749,528,055,001,404,721,708,890,848,483,760,710,454,
482,123,096,454,023,233,856,430,203,957,714,343,378,064,655,820,068,109,029,
464,177,891,342,787,415,140,715,798,614,745,214,006,442,553,326,201,596,160,
025,576,995,648,484,255,849,528,485,868,375,572,249,461,428,070,683,239,288,
158,810,768,696,588,460,404,475,609,215,868,035,161,220,627,002,814,066,003,
535,859,284,201,416,329,068,758,333,422,029,037,105,743,951,674,035,350,020,
888,257,131,634,465,341,765,813,807,919,000,899,231,998,219,890,799,343,876,
159,882,863,576,616,855,382,028,702,500,708,566,884,047,296,307,869,146,550,
064,500,403,585,385,433,612,475,823,131,706,187,965,599,811,337,522,291,605,
095,800,006,208,027,578,170,094,909,688,295,021,551,989,660,401,458,173,883,
386,443,489,605,624,887,282,072,027,867,606,302,010,283,161,084,920,145,657,
685,343,799,553,395,565,729,979,230,317,572,470,378,669,363,689,456,331,405,
657,003,430,308,876,253,807,289,270,335,385,067,952,995,439,725,407,537,867,
924,214,956,345,420,055,535,222,595,185,340,573,539,157,906,996,019,987,181,
971,185,976,771,594,784,056,535,153,977,794,388,671,923,900,848,370,428,031,
109,021,864,477,557,938,823,809,416,212,066,391,744,493,016,019,426,335,820,
461,182,419,718,494,685,796,856,579,227,902,784,684,435,364,124,878,666,209,
537,855,476,449,088,825,599,522,152,088,326,178,032,584,592,288,896,602,239,
676,984,835,803,408,083,891,306,989,672,341,764,390,732,898,450,142,106,765,
465,017,836,774,823,331,406,820,185,876,952,359,867,234,205,565,552,899,152,
068,868,425,743,302,338,411,402,771,198,356,346,066,503,663,101,608,767,457,
322,510,404,510,821,878,714,456,379,872,985,479,756,807,402,851,405,526,174,
981,512,528,193,939,682,780,733,023,175,101,945,892,010,587,966,187,803,469,
699,250,026,883,707,628,646,649,379,539,804,194,077,582,746,728,737,010,171,
629,755,831,220,227,581,489,631,060,684,303,149,798,793,228,289,458,710,470,
688,747,895,431,895,377,729,238,115,444,542,296,221,886,360,970,542,248,631,
322,469,361,427,207,213,715,944,457,169,985,742,620,320,868,202,788,878,411,
407,996,387,120,795,294,508,009,424,969,382,413,239,907,696,092,386,324,927,
653,176,582,108,487,941,473,430,209,408,314,276,463,839,815,293,316,572,588,
778,942,280,348,901,837,222,928,520,207,183,259,887,194,309,477,620,199,952,
420,713,592,326,401,083,160,437,449,146,573,259,736,078,757,132,920,722,831,
861,405,527,312,606,727,969,390,366,029,091,576,511,041,078,356,447,731,405,
235,912,410,623,004,217,647,038,390,810,530,329,394,956,491,633,783,524,960,
137,230,333,850,947,942,855,851,919,791,541,629,593,141,481,579,699,480,881,
597,912,594,221,418,012,538,485,480,393,380,370,551,785,661,189,363,040,823,
513,927,234,440,921,307,087,294,301,047,263,036,362,864,610,075,167,438,805,
161,438,321,278,721,081,648,737,239,643,265,640,367,767,661,490,634,232,203,
631,363,844,663,250,363,861,240,500,402,726,573,729,693,853,509,356,155,865,
360,502,156,839,533,548,472,038,763,757,367,610,150,846,848,738,157,582,877,
399,554,033,519,870,498,754,060,472,324,642,132,538,681,413,790,943,387,604,
171,710,490,906,734,449,289,303,456,012,807,257,561,624,979,469,985,676,055,
641,501,260,493,867,607,077,452,482,642,059,548,503,368,319,748,561,893,728,
968,168,089,958,896,697,537,453,896,292,146,746,936,577,052,472,509,462,513,
598,717,447,208,496,019,457,315,307,032,451,611,790,491,263,016,747,997,616,
486,396,443,030,793,622,400,045,279,788,564,096,949,386,289,599,039,871,918,
002,603,203,422,075,017,110,100,679,311,099,018,292,554,654,090,971,782,733,
005,728,553,484,345,233,303,648,372,629,210,657,939,257,456,701,636,632,926,
512,973,825,989,865,704,079,477,261,359,812,298,833,263,199,358,011,865,786,
622,094,252,330,982,804,788,168,555,590,162,786,949,569,245,115,532,763,483,
777,822,583,051,514,281,202,067,337,491,213,639,457,869,572,190,943,277,412,
917,920,508,460,702,800,027,463,258,610,500,735,852,045,758,842,498,483,652,
405,181,089,758,135,873,985,375,702,509,495,363,725,640,233,313,582,425,272,
642,535,901,487,297,194,094,490,611,831,388,426,439,018,875,703,711,246,687,
015,015,378,458,343,840,855,678,904,014,528,981,570,785,943,019,214,980,754,
372,715,289,705,087,163,160,186,019,997,063,571,618,937,666,936,118,587,984,
004,910,417,270,481,296,322,062,325,525,381,251,162,540,736,206,489,930,884,
339,360,673,902,281,935,273,775,691,779,197,176,042,255,749,284,921,320,288,
980,729,154,445,977,828,494,808,736,727,109,196,052,180,258,617,848,599,450,
809,002,286,539,994,488,226,198,669,553,396,080,418,179,556,728,504,426,455,
255,777,684,367,581,734,150,398,946,501,268,154,865,868,159,379,913,984,888,
972,066,872,650,371,354,359,837,941,468,005,458,576,499,087,052,239,793,928,
627,457,329,784,182,393,829,770,907,971,458,533,370,643,499,824,915,766,689,
935,742,423,764,745,747,555,500,493,923,809,179,902,507,223,235,020,138,271,
374,848,304,003,790,388,750,339,543,502,277,990,521,451,615,305,545,224,273,
151,425,246,176,585,184,502,413,298,839,741,882,437,391,221,269,183,139,382,
698,246,264,620,860,759,018,887,946,921,041,538,643,290,277,725,317,771,227,
212,120,241,493,904,423,024,897,015,442,702,725,343,583,064,969,751,782,144,
326,107,164,112,218,315,820,634,636,129,293,792,090,494,535,011,322,967,975,
337,347,962,752,941,972,647,996,872,574,762,629,920,503,825,417,942,352,428,
003,219,604,972,808,454,497,543,747,945,682,487,768,990,282,012,182,632,978,
425,366,151,540,248,914,706,851,604,983,066,578,270,861,023,351,201,352,654,
313,557,783,708,943,642,116,729,402,160,469,315,962,272,854,550,938,048,869,
464,675,373,676,684,824,501,764,192,715,487,234,651,955,610,290,285,630,555,
913,237,452,767,075,073,369,637,866,826,626,455,462,243,506,266,017,294,249,
497,802,545,934,616,049,568,303,828,506,839,293,564,235,690,701,204,254,743,
361,872,308,135,384,050,771,380,605,711,934,110,187,534,420,489,627,606,201,
159,983,597,542,022,490,106,804,408,489,877,633,354,366,597,840,117,747,002,
940,096,809,854,153,393,258,497,604,113,648,882,725,851,969,205,005,317,658,
352,035,632,528,091,764,657,916,454,285,623,312,084,945,013,954,126,678,825,
408,754,111,664,257,909,561,190,903,152,258,054,160,747,456,881,500,093,433,
741,594,838,721,817,428,527,295,188,874,199,040,023,570,260,342,866,378,902,
685,921,060,041,922,194,386,795,354,539,293,399,063,004,911,791,862,506,979,
162,365,087,614,017,759,192,962,003,690,057,072,592,390,993,419,027,434,931,
402,457,089,782,207,766,940,283,971,364,390,132,581,310,055,344,898,601,739,
666,085,466,374,124,961,772,896,236,853,926,135,447,085,449,608,916,072,654,
526,960,233,517,098,698,611,461,431,750,018,803,401,726,574,460,049,633,859,
315,316,362,724,668,093,463,372,968,680,460,320,921,147,499,387,421,168,175,
018,303,963,467,622,829,018,590,258,524,597,125,870,926,354,856,768,765,486,
692,382,330,672,103,491,365,976,438,016,907,153,690,110,683,945,175,536,105,
659,636,186,378,035,183,471,452,537,546,251,635,049,699,566,047,746,136,536,
708,799,912,622,545,679,304,685,763,217,812,734,292,088,604,471,917,083,142,
436,047,011,056,198,549,298,213,369,403,896,408,194,699,553,081,787,452,835,
061,704,642,139,959,986,227,581,143,148,703,085,233,044,357,101,905,261,588,
470,491,398,653,105,130,285,993,787,963,937,907,428,050,566,754,050,954,707,
093,050,086,005,065,725,471,436,432,285,879,363,752,432,763,368,782,684,718,
997,068,797,751,737,484,480,268,881,579,913,908,839,449,532,302,378,159,940,
222,210,307,463,007,450,885,912,592,479,248,292,585,609,042,164,808,033,072,
039,034,424,196,100,212,282,359,422,123,122,165,832,917,197,907,450,207,036,
553,224,769,047,139,604,667,494,340,357,250,224,690,331,809,712,891,860,326,
643,699,500,100,413,457,716,629,112,513,175,398,158,149,597,080,238,816,709,
207,311,515,894,456,562,526,208,342,852,163,845,730,884,237,796,388,615,735,
924,419,120,829,771,452,676,251,718,192,426,262,003,635,243,708,134,718,600,
422,963,781,177,557,515,271,148,513,117,930,615,806,200,983,015,075,601,666,
259,917,608,940,142,180,816,033,529,212,764,319,441,940,120,341,821,037,570,
839,298,052,913,358,490,960,627,357,168,531,054,097,195,547,424,982,916,544,
500,450,842,899,879,049,255,166,606,735,566,167,394,763,261,711,669,307,062,
427,853,963,458,354,089,678,583,805,002,253,607,345,045,583,385,331,221,123,
767,800,276,018,596,239,052,275,090,119,081,001,966,901,044,196,114,090,129,
385,311,125,179,350,692,431,819,430,551,594,873,773,145,044,332,424,089,991,
628,403,380,515,449,249,466,797,827,343,911,804,865,347,374,314,992,384,267,
645,045,698,032,685,823,533,787,863,120,038,663,161,877,693,399,841,249,314,
321,741,511,460,267,245,627,455,180,111,533,098,900,900,562,500,930,073,707,
238,585,655,102,199,336,777,330,918,766,608,257,408,835,464,043,578,650,638,
218,214,776,033,544,491,120,952,097,036,709,648,787,518,765,807,007,383,396,
341,852,130,151,989,068,430,125,772,821,059,823,357,048,969,010,094,318,215,
357,376,982,887,299,818,895,762,311,849,507,754,230,699,386,605,440,589,974,
073,006,949,122,962,893,425,367,399,461,637,913,599,471,040,952,486,453,390,
288,860,530,331,477,493,587,860,370,266,994,458,518,365,490,829,290,133,110,
614,505,688,346,329,254,519,289,017,019,909,766,658,786,303,458,340,664,249,
740,790,238,709,974,748,435,904,466,272,521,677,151,424,262,961,431,132,347,
357,470,858,189,344,968,861,810,163,447,461,621,357,515,423,144,788,304,500,
733,258,650,718,691,451,130,722,882,329,738,642,157,648,588,979,495,308,486,
376,526,816,386,423,905,954,682,269,772,115,623,924,544,231,529,863,080,119,
675,968,248,437,017,847,570,796,301,466,221,972,041,009,851,517,613,233,371,
135,282,023,651,838,206,878,326,753,568,852,591,456,810,664,249,803,913,642,
129,120,935,777,399,620,684,930,484,471,541,615,230,404,584,218,805,450,511,
879,049,951,312,809,376,591,801,829,059,317,568,555,359,568,921,341,876,179,
754,934,703,038,485,397,272,867,947,428,749,080,118,853,518,989,280,100,560,
395,663,068,264,816,470,955,851,342,185,499,644,356,106,712,595,534,845,646,
658,887,021,721,992,352,323,366,564,819,388,306,460,922,652,700,406,960,771,
628,839,513,150,597,652,243,630,881,832,787,845,613,538,334,256,285,825,232,
545,278,773,648,942,621,717,870,719,335,418,751,945,978,444,498,883,631,785,
431,100,774,917,343,199,827,647,160,816,794,538,065,566,347,173,943,040,328,
562,361,770,931,340,804,075,521,902,524,685,193,935,232,401,952,846,163,654,
032,432,572,813,195,748,622,599,926,428,632,664,386,104,609,977,672,836,495,
287,889,388,099,994,305,259,179,811,343,410,781,794,980,581,537,720,822,686,
594,147,261,231,415,618,864,872,521,815,083,503,976,302,444,469,720,909,892,
878,326,258,194,194,440,385,438,221,367,017,166,585,301,598,003,974,472,913,
112,707,583,414,661,271,546,904,559,375,472,985,167,583,744,254,525,927,061,
827,858,702,836,776,040,436,834,884,180,503,097,370,169,533,051,543,557,741,
920,620,892,906,714,535,153,821,339,676,092,803,973,080,663,344,506,223,119,
698,775,730,064,973,631,686,132,432,008,173,657,057,544,084,373,352,540,776,
281,563,688,406,013,529,044,439,796,003,924,864,328,140,416,268,730,158,479,
597,388,281,951,786,321,110,066,068,452,253,010,901,518,796,768,527,306,692,
522,529,705,056,882,424,525,753,200,754,538,161,099,811,787,751,873,347,681,
003,798,172,670,728,108,781,191,059,673,748,273,457,241,760,767,116,899,183,
139,820,836,177,842,738,669,556,384,800,432,799,291,811,871,867,471,806,135,
337,846,462,375,160,277,804,689,461,748,762,698,449,007,436,925,005,218,139,
801,844,940,968,844,867,560,040,347,982,902,800,160,685,025,857,034,439,187,
204,391,351,308,323,403,808,839,803,873,911,654,494,621,562,345,153,991,825,
873,837,278,265,241,043,842,799,716,684,298,084,543,601,350,501,936,534,597,
150,870,448,158,101,791,966,755,588,978,342,461,343,712,203,858,010,562,952,
686,140,114,108,735,818,897,660,016,318,064,434,522,153,541,622,554,876,337,
095,277,590,404,366,198,922,871,711,505,378,840,947,819,774,274,304,391,110,
028,635,387,716,786,271,965,002,124,990,909,412,640,731,150,628,785,408,368,
115,877,080,749,902,692,093,007,798,860,645,897,161,970,257,456,576,817,627,
752,117,934,758,962,810,483,089,210,044,516,815,424,018,656,714,483,900,367,
157,684,018,400,840,711,755,042,212,088,925,511,461,795,266,671,769,187,569,
548,591,442,352,845,488,897,801,853,513,291,005,730,272,785,748,699,759,459,
076,635,978,087,549,627,214,765,832,095,076,882,856,037,669,153,233,303,271,
005,998,738,649,034,981,685,201,644,325,185,417,250,600,872,186,015,508,978,
264,364,364,043,121,089,674,016,444,603,256,664,634,183,764,152,442,627,844,
649,995,861,841,431,824,172,974,189,726,775,032,581,005,838,268,548,779,854,
585,343,928,558,586,199,367,639,982,459,968,071,915,962,011,968,035,872,582,
129,109,942,481,027,804,209,231,259,435,730,139,998,550,648,394,533,237,911,
450,340,258,464,036,215,533,729,517,115,576,449,411,023,374,881,863,001,337,
061,010,510,313,438,247,315,935,711,972,953,812,220,101,213,454,231,123,083,
066,130,395,655,500,026,138,951,710,663,849,968,085,384,101,011,650,620,092,
221,264,108,989,246,298,043,298,545,778,422,350,183,132,881,488,260,976,393,
237,021,512,059,916,428,111,453,152,904,417,892,660,969,901,515,171,625,000,
535,553,863,517,794,458,600,896,910,143,392,905,055,506,492,781,049,998,909,
494,610,591,986,888,197,443,234,894,738,549,340,817,338,178,152,206,728,332,
356,118,519,403,674,766,852,949,417,317,403,599,961,543,008,209,451,675,081,
994,932,216,852,325,827,202,208,641,868,610,687,083,652,691,771,227,403,513,
128,098,016,934,168,773,052,811,342,473,166,074,686,014,734,138,672,993,965,
143,285,669,889,187,058,905,788,062,239,445,916,112,886,332,455,592,658,269,
943,534,792,933,923,459,306,069,532,965,576,992,175,843,089,729,914,604,621,
972,342,797,393,361,226,412,161,570,699,880,974,437,872,361,563,969,815,147,
130,712,653,405,012,831,919,651,666,462,863,695,463,155,906,046,364,655,376,
080,575,317,301,688,189,983,239,390,091,487,435,947,221,254,018,062,467,482,
392,805,843,551,902,989,137,331,761,857,600,874,349,687,359,995,750,504,022,
350,675,270,379,533,797,664,654,826,361,978,697,625,998,855,165,285,218,873,
231,938,755,021,522,283,647,238,705,535,019,961,768,110,280,097,079,074,459,
091,556,475,123,289,343,039,929,795,262,241,102,978,561,652,628,265,024,929,
308,485,558,975,555,211,147,864,131,967,273,983,436,335,494,367,357,086,254,
829,143,909,275,913,050,599,728,754,676,646,020,434,611,016,656,093,766,446,
968,713,164,171,748,201,343,429,537,426,164,820,440,733,376,576,591,351,215,
158,780,541,905,717,459,545,924,698,046,100,619,105,387,635,171,737,527,876,
011,329,991,781,070,918,277,593,237,869,327,258,639,562,730,110,912,345,136,
919,798,455,044,094,993,178,755,482,266,784,339,607,806,150,907,691,694,000,
827,003,102,164,584,799,796,234,420,960,686,133,244,726,239,700,348,254,623,
797,978,883,529,129,799,821,584,620,789,970,607,768,732,264,697,839,342,857,
483,993,141,740,777,966,777,473,582,631,139,459,992,444,418,204,828,250,706,
003,928,676,323,640,765,182,701,459,073,289,359,408,814,026,950,159,769,364,
907,461,815,976,590,489,298,762,040,374,136,678,013,841,051,824,854,149,348,
348,993,843,627,338,968,255,670,601,187,118,948,116,328,800,609,969,966,173,
593,933,506,700,754,128,978,382,476,072,836,494,770,293,690,481,029,894,152,
612,144,215,393,605,207,580,038,294,817,036,098,799,548,525,876,906,971,538,
982,769,525,698,933,038,951,553,096,813,072,657,180,149,786,579,481,359,152,
985,381,209,720,644,887,811,444,218,146,029,440,061,931,404,248,245,379,909,
762,234,982,043,102,056,890,290,115,745,579,991,307,195,051,418,021,413,095,
288,786,364,268,168,529,861,018,060,655,784,934,834,487,090,052,345,999,010,
503,803,727,136,767,392,766,731,638,749,269,936,267,931,816,163,975,491,575,
469,229,609,356,063,273,753,572,274,452,187,170,204,840,744,742,853,451,222,
881,593,553,777,377,132,695,672,585,489,229,616,308,280,954,871,083,732,218,
196,802,245,199,397,665,845,218,442,847,608,802,802,738,649,970,306,598,062,
898,711,402,060,074,406,329,112,160,848,295,787,877,072,090,394,030,418,047,
448,058,498,434,870,021,138,171,773,630,995,364,244,394,121,823,803,739,134,
225,038,697,616,767,349,006,322,804,534,309,001,838,603,321,637,564,060,992,
306,252,258,435,629,405,497,126,052,138,643,752,386,172,067,235,963,603,779,
113,762,772,766,832,504,660,744,169,992,328,405,752,171,346,787,407,653,265,
872,159,403,622,562,473,921,131,147,767,392,457,489,086,800,735,044,045,035,
426,210,548,803,823,807,256,106,356,707,669,444,598,806,513,519,151,686,482,
161,740,289,564,244,853,284,794,788,210,592,604,347,394,195,878,683,799,004,
088,284,547,940,871,211,511,701,460,225,933,955,187,935,508,005,679,755,575,
313,459,299,749,685,793,143,618,757,940,071,043,818,407,773,453,558,560,270,
157,151,951,807,755,573,698,631,847,188,512,458,759,561,616,282,799,722,641,
293,333,947,969,766,562,492,243,336,327,264,872,225,088,456,275,153,155,372,
802,846,284,431,116,463,582,624,678,233,308,620,256,629,998,801,680,053,799,
770,361,098,240,291,532,782,482,425,921,094,643,239,046,197,453,851,806,520,
684,633,611,885,559,815,654,922,192,767,854,871,064,860,207,951,568,401,882,
252,711,049,577,968,323,850,076,159,207,827,039,225,682,169,110,619,947,237,
894,599,252,873,064,070,718,268,905,666,248,019,569,200,068,606,883,799,643,
239,910,594,445,416,442,119,688,030,027,064,396,346,196,798,897,252,123,401,
343,424,194,019,106,488,902,986,223,099,613,074,389,213,011,335,895,402,183,
345,802,295,915,510,166,268,777,109,321,119,246,585,171,623,814,016,644,127,
795,399,241,932,860,795,813,366,668,345,604,069,948,802,949,306,171,709,760,
219,842,569,581,262,028,745,088,444,575,619,426,769,389,345,074,061,052,081,
960,501,020,648,870,889,782,015,158,479,117,277,852,522,296,976,914,238,274,
482,749,645,904,339,399,288,262,745,103,798,741,898,090,751,844,004,018,869,
586,507,574,782,438,078,870,776,051,837,354,624,499,385,345,970,177,130,456,
646,181,767,351,716,870,330,157,427,406,409,993,997,547,268,480,614,429,779,
607,695,324,672,439,976,510,091,789,716,036,647,157,500,749,822,613,172,022,
945,894,549,043,326,191,739,385,787,273,858,958,840,808,181,133,963,962,009,
730,558,034,690,831,496,317,587,546,556,895,005,725,562,777,092,374,481,178,
010,304,256,959,229,105,000,191,435,165,440,663,931,899,590,971,345,315,240,
488,377,378,971,399,775,143,154,208,194,753,941,665,943,076,265,042,014,595,
900,865,697,943,871,284,308,603,023,768,758,955,185,202,992,067,096,596,476,
708,636,918,652,631,639,498,849,010,529,070,354,829,234,275,100,692,423,272,
747,039,043,075,422,824,892,839,660,339,508,988,609,515,147,826,239,367,122,
245,446,827,513,045,543,875,203,101,453,235,628,926,265,200,092,859,744,379,
264,930,901,130,883,150,155,649,265,201,049,826,900,938,847,812,767,196,802,
169,857,472,612,309,268,698,835,045,768,811,380,281,547,835,707,730,388,717,
144,005,904,267,694,902,102,865,444,675,181,196,641,536,951,660,984,667,337,
731,822,693,019,404,524,018,769,403,178,523,473,942,688,713,290,619,775,063,
762,589,919,080,584,874,239,873,463,066,075,337,389,690,589,269,819,678,418,
586,601,395,046,004,610,133,697,873,878,320,010,178,368,225,397,999,075,229,
113,181,088,362,048,322,533,300,326,872,609,541,177,008,022,822,830,879,340,
962,990,358,091,559,217,157,418,581,515,457,448,541,641,347,313,259,912,738,
408,106,109,884,046,966,309,940,740,699,226,635,247,018,418,437,805,706,834,
864,125,049,953,105,623,240,168,375,961,175,879,607,536,622,272,429,412,782,
843,031,077,732,570,250,561,159,983,480,228,508,513,250,131,312,350,665,597,
460,402,486,203,808,349,607,744,184,874,051,821,694,725,784,817,589,859,190,
348,391,580,305,911,743,470,111,620,166,520,038,974,614,877,538,975,910,919,
453,091,299,896,088,555,955,583,084,721,651,373,624,749,407,517,726,136,755,
526,313,099,158,825,165,636,388,001,088,712,200,530,887,251,875,927,801,159,
655,229,101,933,005,143,182,180,612,314,208,782,780,484,091,005,873,720,683,
690,059,759,707,073,151,186,737,152,251,810,492,192,210,539,361,811,083,820,
370,077,729,495,446,595,103,945,651,704,974,881,361,620,944,832,993,237,397,
912,501,263,225,115,020,090,518,626,565,643,918,238,508,700,538,465,252,991,
395,243,574,289,047,478,601,320,272,669,933,294,964,932,592,396,782,657,764,
059,952,399,595,450,244,329,689,323,219,841,770,459,854,869,461,082,602,053,
595,540,709,654,856,652,440,129,362,683,244,746,272,428,096,233,976,003,339,
434,531,411,534,047,739,798,387,039,805,174,957,592,435,552,071,229,759,500,
161,775,066,376,094,848,984,136,522,420,822,457,157,575,582,110,582,584,307,
657,019,150,653,406,785,248,748,543,889,845,121,155,973,449,991,032,651,026,
617,416,901,389,197,757,241,874,709,532,071,795,160,539,079,815,478,604,675,
254,093,795,951,450,626,152,586,795,845,062,445,410,508,029,936,242,516,701,
922,152,513,423,440,975,815,681,809,960,013,761,439,278,096,851,438,528,845,
572,746,505,898,008,067,552,084,002,612,529,241,715,531,861,160,310,536,246,
293,055,656,478,530,329,355,746,571,868,401,977,166,736,314,980,509,165,509,
469,624,433,188,155,477,413,529,368,036,413,423,778,867,721,688,745,607,866,
534,926,786,808,344,709,468,495,623,242,144,623,999,589,892,010,554,547,226,
323,709,154,912,458,485,479,210,254,424,477,466,423,267,650,462,481,562,712,
413,624,548,801,559,473,125,731,942,826,854,154,278,793,653,374,803,575,845,
820,884,906,935,716,525,964,227,853,646,499,895,080,611,344,525,166,594,459,
005,594,100,828,558,423,457,457,287,959,034,125,418,143,105,695,794,671,708,
214,804,129,060,623,273,219,885,043,380,252,346,633,149,102,286,335,596,009,
836,701,237,168,604,013,772,587,107,258,830,244,996,960,556,658,407,522,925,
535,646,604,890,656,045,015,613,644,445,088,724,245,784,491,914,668,064,936,
709,929,626,175,418,827,955,653,092,781,650,112,605,523,481,110,294,786,990,
860,321,549,699,253,159,744,290,850,062,389,259,675,934,592,621,827,372,805,
243,533,783,963,154,254,603,414,243,153,801,902,519,365,488,391,886,508,622,
385,372,580,221,580,444,709,425,789,841,524,695,102,108,669,581,116,901,607,
162,919,319,865,341,897,553,716,479,173,896,319,825,026,206,655,089,483,873,
234,274,537,317,764,057,969,032,020,686,572,779,162,341,316,503,972,770,339,
759,898,919,787,229,555,707,582,955,982,016,508,797,855,354,842,663,138,785,
486,429,545,397,029,931,094,764,497,004,070,338,075,828,770,484,686,682,386,
258,665,430,771,752,891,540,601,323,358,349,818,315,379,368,490,587,621,576,
764,191,487,714,034,757,929,412,204,097,434,683,959,084,467,550,570,657,070,
574,557,161,701,353,084,137,082,594,492,293,838,321,073,737,080,519,336,009,
152,310,553,742,811,643,997,339,845,338,803,846,411,970,455,608,661,150,849,
081,258,323,974,107,411,241,694,404,345,578,620,903,954,264,757,046,684,620,
475,595,113,874,038,697,537,170,594,751,528,755,843,646,599,911,332,309,552,
749,260,715,142,575,506,016,283,729,835,812,230,511,226,783,699,774,290,347,
845,069,415,599,586,323,535,389,293,228,719,560,420,255,914,487,091,126,985,
689,439,201,187,179,556,771,491,987,189,309,156,481,231,695,202,945,758,779,
036,935,070,277,858,480,810,781,011,900,647,053,669,890,836,266,948,959,631,
328,566,373,111,131,103,717,411,051,152,292,230,320,267,836,876,227,252,505,
472,171,784,143,828,925,557,001,456,659,652,818,963,968,141,213,830,456,421,
978,767,384,008,980,269,597,270,559,899,912,453,239,602,048,276,800,724,951,
638,685,029,560,192,876,489,846,762,172,594,789,745,172,326,696,831,103,000,
933,330,093,921,045,875,891,301,824,837,877,364,431,949,246,459,229,852,620,
666,912,869,739,600,349,003,825,790,430,003,920,203,950,666,213,746,573,943,
651,807,346,313,484,599,708,610,598,153,996,202,979,018,879,535,330,259,644,
599,854,885,184,352,978,866,768,256,309,693,324,752,904,742,250,602,892,854,
800,989,006,576,323,685,612,693,174,313,883,518,978,854,455,413,249,414,095,
874,520,708,547,907,896,885,863,753,335,936,285,344,026,345,389,770,341,548,
281,314,994,330,372,579,500,372,639,327,978,813,206,143,106,098,763,406,572,
510,132,379,683,462,531,735,402,670,825,927,874,546,606,905,144,059,952,636,
341,384,817,177,707,192,686,095,221,314,573,533,496,905,988,899,136,203,076,
614,514,536,127,921,764,606,653,720,528,974,692,727,908,312,123,714,200,166,
546,301,087,681,114,446,482,476,709,639,912,884,200,288,865,982,717,423,939,
530,302,224,108,541,941,037,728,360,880,706,944,043,397,673,591,985,135,039,
327,176,972,894,971,091,415,436,380,535,435,688,862,552,469,632,446,658,460,
549,046,955,326,683,160,290,642,527,877,297,214,267,276,221,488,523,454,380,
113,874,933,595,917,823,216,131,634,766,618,982,120,740,358,908,261,740,912,
580,187,205,601,023,356,183,532,999,485,372,604,981,863,786,393,519,781,394,
080,154,701,643,233,790,336,845,566,360,115,611,378,317,310,063,413,608,057,
866,602,781,864,069,439,200,188,174,434,933,798,667,152,746,031,946,755,984,
677,718,547,661,279,349,895,827,946,102,236,876,848,442,321,197,885,153,845,
723,840,211,941,745,932,708,365,565,518,639,360,598,216,353,444,178,126,436,
386,636,838,742,962,975,488,198,523,306,924,556,784,662,502,984,417,486,615,
588,469,229,699,162,708,940,578,550,445,251,938,513,431,962,757,935,868,651,
289,545,967,378,482,826,295,655,133,348,287,554,959,817,910,153,097,595,947,
673,815,937,963,722,927,758,630,833,275,245,268,389,111,336,978,317,174,860,
347,573,095,956,710,478,285,607,655,381,050,629,406,699,701,459,153,280,196,
751,040,998,735,321,660,792,919,947,349,566,788,273,838,290,672,489,064,468,
200,314,182,603,826,422,301,419,008,531,748,797,088,979,955,071,424,664,969,
121,943,683,211,531,023,621,727,088,384,913,201,699,486,522,272,125,749,010,
177,143,268,362,742,436,837,177,781,931,278,169,078,411,084,812,288,213,392,
310,848,386,343,546,082,061,194,519,599,883,710,234,512,191,932,414,241,209,
069,952,048,802,150,335,961,663,495,943,829,026,414,387,956,350,911,826,157,
293,682,764,775,433,684,910,813,843,979,236,982,713,816,944,482,275,939,325,
257,077,275,337,113,156,147,104,406,280,719,830,266,133,813,617,196,578,888,
982,347,350,898,554,494,272,091,646,383,348,672,342,143,130,005,064,444,307,
247,734,025,900,480,315,399,344,233,427,802,049,681,144,946,497,510,548,027,
107,525,386,342,122,443,313,866,173,999,056,341,280,092,153,002,133,582,916,
436,305,980,319,809,304,544,799,886,771,740,432,769,254,623,277,709,785,148,
048,884,476,747,348,925,742,915,776,149,671,725,996,862,820,262,430,472,916,
023,905,280,244,288,490,050,460,446,732,638,535,228,350,857,807,696,622,799,
048,160,796,934,552,821,105,865,910,977,825,764,772,559,864,788,722,768,830,
927,926,864,441,884,102,059,150,158,512,318,633,996,605,800,428,216,488,873,
888,878,800,671,248,670,631,546,789,113,264,159,010,192,187,231,149,602,717,
046,863,641,569,081,114,405,158,086,769,398,445,864,875,303,787,412,191,219,
648,933,793,254,008,570,363,820,190,257,214,059,517,994,722,414,811,102,280,
595,488,408,112,823,921,452,746,424,621,792,637,310,372,584,519,188,558,991,
415,568,762,942,428,302,463,694,503,326,143,677,039,674,960,940,383,842,226,
558,658,031,314,523,315,123,963,215,217,785,671,789,543,945,140,560,833,818,
381,130,550,408,611,707,629,796,495,858,691,663,661,384,832,249,469,487,961,
024,023,787,342,217,091,888,127,229,597,461,097,808,609,688,763,782,019,341,
712,551,472,515,062,917,178,210,772,983,684,100,695,005,469,770,987,308,931,
569,923,823,838,542,279,738,815,769,824,950,656,813,357,088,283,018,699,318,
187,604,433,504,400,286,925,243,191,859,607,179,389,156,910,220,848,481,678,
451,283,090,337,116,365,115,225,938,328,845,759,872,714,176,929,711,292,844,
911,659,430,648,957,269,419,930,053,827,508,990,363,803,922,190,617,917,039,
468,766,464,366,078,090,469,675,441,392,963,142,018,236,864,649,494,232,078,
490,523,921,362,297,386,326,559,279,063,466,270,649,720,806,278,536,623,019,
285,331,130,697,418,685,547,403,017,883,460,096,788,141,962,605,883,530,835,
808,276,662,723,027,487,114,466,120,482,007,707,663,836,120,271,695,560,826,
675,458,316,669,866,971,333,610,980,901,166,551,067,773,932,461,401,292,598,
885,915,491,277,486,844,083,105,170,983,173,979,219,881,284,575,770,326,945,
935,479,136,113,242,754,313,700,816,105,588,119,947,702,213,492,156,090,786,
228,862,592,348,606,845,611,330,622,512,092,263,171,655,435,680,871,383,820,
989,899,562,206,757,850,847,828,028,680,703,992,584,972,180,356,208,933,940,
395,120,377,056,730,891,612,291,976,552,019,671,703,891,544,525,473,509,322,
669,055,972,699,832,355,079,327,673,968,251,212,032,986,709,220,595,270,476,
062,022,057,481,390,031,107,969,949,450,694,276,329,148,008,539,034,369,191,
173,622,236,430,841,500,523,889,471,762,459,188,099,325,596,134,257,679,125,
083,783,543,180,203,803,895,566,128,741,032,124,260,334,092,888,793,279,022,
737,282,219,048,986,083,328,668,028,461,406,678,218,348,778,683,230,061,566,
233,242,798,887,311,104,776,988,054,327,373,337,912,263,243,514,866,271,793,
228,824,814,409,055,025,823,735,697,708,696,467,380,288,104,750,457,927,324,
642,161,148,986,701,902,672,183,695,258,658,406,248,031,389,163,171,701,144,
101,298,657,285,057,671,259,756,219,527,793,059,954,640,472,063,650,447,181,
173,516,588,343,919,787,274,092,615,448,674,678,555,812,900,528,496,398,109,
359,139,299,575,089,098,144,851,271,331,564,631,929,243,123,131,294,973,977,
952,670,673,179,403,314,330,964,708,459,052,472,733,822,940,740,043,293,556,
008,411,812,783,199,549,405,561,901,300,177,133,691,682,232,405,141,007,872,
948,321,259,741,523,532,292,286,952,671,855,002,367,011,411,840,383,903,940,
709,539,872,433,633,087,202,784,362,233,357,815,799,310,312,995,551,819,836,
850,279,245,716,456,860,027,779,741,998,147,421,948,107,830,921,976,218,430,
712,801,338,979,736,372,633,299,332,910,396,939,978,386,624,490,694,819,743,
858,462,933,767,900,661,012,683,983,511,606,611,033,782,904,853,803,397,678,
981,577,149,879,223,970,034,168,669,052,108,727,002,427,559,783,589,638,167,
985,763,046,720,778,550,004,481,547,416,199,182,433,952,322,103,406,102,607,
413,187,836,631,293,141,837,316,607,651,863,202,023,612,461,019,612,258,081,
099,194,053,721,044,297,797,611,901,801,260,875,183,901,236,780,733,979,099,
184,978,799,204,175,441,999,635,698,109,983,965,942,583,994,781,369,100,168,
254,046,325,579,898,146,495,408,695,443,291,147,392,561,749,925,506,813,231,
784,485,587,687,530,661,522,574,128,838,468,689,282,984,476,409,172,973,871,
081,700,648,800,803,172,094,998,922,159,451,589,108,635,899,072,359,467,362,
348,736,366,093,173,020,858,903,834,751,336,060,562,443,023,589,326,378,542,
300,995,734,946,401,155,948,119,954,558,569,286,169,117,543,841,166,828,054,
055,144,306,627,970,079,560,582,787,833,878,602,823,520,856,696,035,483,758,
572,797,301,023,469,626,858,215,740,996,130,598,020,650,546,622,513,622,455,
911,554,349,151,108,438,175,735,308,951,592,873,340,038,299,388,045,208,863,
298,821,740,555,164,704,745,449,835,344,463,049,117,553,294,115,317,281,921,
757,381,737,640,079,307,083,442,069,934,739,038,351,501,009,342,350,205,817,
444,565,433,048,181,166,877,749,798,546,020,554,901,394,545,901,024,378,937,
388,121,423,221,813,986,683,093,645,195,593,000,958,183,128,840,290,662,651,
793,352,171,745,468,905,315,330,177,737,690,485,060,192,632,283,998,285,302,
180,210,582,307,057,447,366,232,084,691,883,906,372,056,285,996,000,678,739,
067,465,454,494,532,711,414,511,052,999,634,629,742,795,667,359,790,860,733,
075,202,415,418,051,293,417,629,611,485,568,508,942,043,278,066,726,833,778,
569,675,679,930,176,575,343,678,078,934,793,682,197,130,183,247,261,994,693,
953,449,407,260,762,575,744,921,276,068,294,549,533,640,973,877,334,935,786,
121,135,507,535,020,470,474,706,578,081,797,697,588,794,537,156,612,922,998,
752,872,562,481,593,089,971,928,476,103,272,335,239,064,314,537,132,957,785,
220,337,204,697,946,495,458,908,082,071,384,098,848,654,330,731,021,170,049,
486,236,319,266,862,955,295,104,909,972,204,521,404,623,749,652,426,162,143,
059,364,403,947,614,055,402,733,347,307,415,708,291,097,279,403,189,473,499,
649,215,541,776,620,220,404,427,415,613,128,330,706,381,471,639,460,480,797,
550,831,381,590,140,733,110,844,143,772,888,827,022,948,715,857,540,499,499,
366,642,939,943,927,873,779,817,780,154,619,670,635,480,659,651,393,407,314,
526,604,999,020,333,019,650,425,386,102,416,973,620,298,988,250,430,998,075,
534,123,546,816,906,763,758,301,711,721,853,638,675,497,226,959,733,991,754,
556,988,840,511,701,557,212,587,581,274,141,916,127,672,369,616,399,189,687,
057,807,986,339,350,361,275,786,513,284,582,445,165,024,069,637,885,756,325,
145,484,400,517,028,732,853,597,250,251,641,771,315,208,457,726,663,794,796,
310,251,742,295,896,487,653,751,443,195,673,734,258,873,218,705,660,611,506,
564,499,258,090,343,741,743,552,195,893,692,883,815,679,634,328,412,062,491,
539,842,625,851,431,932,840,407,045,879,346,183,364,959,006,668,239,259,583,
475,731,829,490,842,189,979,658,372,049,455,472,870,994,254,354,733,808,894,
620,897,967,557,515,390,179,406,440,832,879,169,247,253,343,318,870,007,226,
844,913,397,546,070,652,538,972,666,740,260,518,928,526,202,319,031,437,510,
403,712,525,062,474,245,988,790,303,702,383,273,151,933,435,042,547,133,380,
424,881,577,906,181,408,681,501,376,484,902,489,350,198,855,358,545,952,314,
875,552,212,743,692,629,588,192,884,118,234,254,208,536,280,189,516,135,598,
223,262,492,687,074,098,675,547,126,224,206,466,855,470,169,328,190,543,006,
557,292,241,673,272,812,983,724,895,463,463,532,024,343,488,746,322,965,900,
913,510,624,839,904,913,780,310,752,100,642,452,607,257,444,776,955,531,002,
408,801,158,463,739,187,421,502,385,078,535,178,081,955,232,199,459,994,878,
329,890,494,694,702,437,050,479,208,478,720,392,960,135,242,292,839,582,374,
391,445,431,555,720,388,156,478,696,833,689,204,828,520,781,447,012,300,766,
222,286,646,901,869,227,270,041,772,597,739,089,900,846,916,191,259,279,448,
686,835,100,449,168,035,230,143,493,916,778,609,668,124,736,778,232,268,132,
734,600,687,659,576,348,552,651,592,317,811,311,456,841,377,353,208,557,708,
543,434,366,468,452,528,902,853,194,656,476,371,763,520,141,205,023,044,938,
546,955,357,970,007,779,214,005,137,479,280,004,501,266,365,049,170,987,269,
623,559,097,487,066,856,029,811,722,228,730,744,949,808,437,834,678,603,782,
713,357,688,511,911,431,415,955,724,340,790,050,068,505,290,300,521,491,844,
629,059,941,101,284,047,581,167,503,823,450,975,807,180,321,123,535,147,734,
222,543,601,868,575,982,298,514,290,388,711,259,542,351,994,487,192,914,228,
633,091,090,817,070,240,648,818,538,301,383,093,308,416,399,882,657,774,711,
146,263,964,763,597,048,658,604,917,633,402,900,312,084,709,150,965,926,314,
719,718,906,627,528,442,128,669,526,951,019,843,677,428,878,856,423,548,694,
584,373,086,716,345,147,000,294,632,808,881,167,753,908,840,181,152,493,083,
942,376,925,172,399,506,739,989,668,601,466,408,704,929,410,466,071,065,390,
152,309,937,125,821,622,668,167,254,282,316,000,968,744,369,585,224,878,311,
426,454,700,077,101,886,696,280,442,742,387,866,203,479,854,984,501,103,334,
493,218,296,596,462,035,866,103,044,235,739,578,797,643,984,941,815,520,323,
509,632,753,316,787,955,409,656,828,650,522,624,934,482,848,934,427,872,005,
029,859,013,322,111,329,398,525,413,546,034,505,810,346,907,768,589,412,893,
328,621,331,669,082,407,722,339,429,317,427,196,969,768,335,528,987,886,773,
914,200,863,874,458,926,454,293,589,600,540,806,780,839,988,844,621,247,314,
516,918,465,209,116,689,611,951,679,129,008,302,593,695,092,744,310,380,510,
703,909,367,698,433,568,232,173,095,705,817,726,416,406,781,589,363,134,223,
482,999,577,371,032,904,644,261,416,206,798,936,565,369,813,651,743,598,598,
848,246,093,800,996,249,221,874,392,732,020,164,220,810,176,057,524,137,404,
325,975,881,798,991,626,022,792,611,925,701,851,078,813,377,944,538,193,191,
779,902,569,984,733,777,738,520,256,092,686,173,073,328,977,884,562,372,159,
384,510,391,459,028,962,826,494,810,252,517,887,996,808,437,713,954,498,522,
339,693,774,785,453,443,703,172,677,877,184,347,863,766,511,214,418,190,821,
049,139,168,210,781,342,644,648,473,187,191,649,805,732,136,368,536,441,177,
775,742,815,261,593,462,823,692,764,265,551,915,610,042,090,255,698,469,962,
497,980,221,560,407,622,894,011,273,881,018,928,395,318,527,474,902,856,331,
949,884,890,092,477,044,112,529,478,168,858,369,938,265,682,492,782,681,483,
743,120,144,854,639,511,503,828,619,376,871,586,634,795,929,068,801,270,273,
567,506,808,215,092,462,604,058,971,107,499,482,724,482,968,817,507,836,197,
285,312,390,117,883,392,959,827,123,167,606,575,469,963,098,260,934,167,215,
670,837,971,213,415,764,136,403,387,835,505,589,577,605,677,290,456,663,983,
693,785,358,202,945,265,601,544,156,989,631,341,267,266,726,472,396,397,448,
689,017,296,059,247,259,024,327,289,807,362,274,075,053,638,386,385,998,121,
372,000,939,265,838,331,866,057,925,559,437,340,689,194,358,995,491,703,683,
630,481,723,655,057,993,148,928,579,651,867,481,242,827,213,046,399,801,126,
433,299,686,732,967,432,617,465,444,739,012,564,752,524,859,419,162,988,749,
229,820,743,903,665,873,865,194,102,356,724,910,384,377,400,613,676,403,303,
454,887,619,631,200,896,176,819,213,724,780,028,905,523,420,233,009,065,958,
217,051,757,255,873,296,150,194,341,723,506,191,314,079,960,796,622,814,397,
140,353,068,190,518,291,937,798,703,327,271,383,953,778,349,627,254,702,950,
912,998,862,910,316,980,466,084,028,382,546,382,024,881,809,174,668,899,585,
687,191,939,593,418,619,545,323,933,320,599,615,308,276,633,727,075,435,146,
593,929,510,708,450,089,881,110,107,194,227,458,750,510,216,909,273,352,464,
634,287,088,121,158,150,775,763,729,484,653,373,692,571,606,893,680,204,861,
078,846,957,227,077,862,684,859,280,723,125,468,553,153,622,608,101,075,710,
441,917,924,563,032,959,199,877,064,323,216,433,613,204,934,326,142,376,910,
798,488,897,896,799,078,567,644,119,600,563,599,263,767,760,586,170,995,549,
770,928,154,292,620,208,549,680,938,279,184,834,348,266,745,346,756,420,190,
435,129,322,678,559,055,722,106,863,927,852,671,012,808,041,525,818,748,361,
771,913,781,584,760,442,932,307,352,568,786,180,142,017,782,584,235,449,850,
571,073,848,183,820,739,424,443,258,777,986,138,731,137,971,929,257,518,969,
422,294,095,152,164,774,036,013,193,520,418,253,273,658,336,979,875,224,383,
095,766,449,527,984,133,353,981,191,728,461,011,584,742,353,245,175,504,795,
818,245,612,751,480,877,906,415,929,368,346,317,736,006,229,159,029,829,012,
180,505,084,576,042,697,338,379,837,001,743,178,543,605,074,291,667,250,731,
690,798,914,128,833,392,301,018,422,917,724,057,241,328,631,563,862,517,202,
811,092,281,430,481,790,691,146,041,627,995,699,968,526,343,801,803,807,660,
325,493,156,260,525,665,938,903,722,220,166,690,595,810,001,534,136,674,976,
440,444,367,776,826,894,745,172,702,436,469,400,712,025,602,368,183,946,590,
096,862,344,367,332,274,797,671,720,549,222,133,770,814,308,153,558,887,043,
356,649,874,494,051,347,329,252,197,608,450,638,724,815,355,088,299,392,301,
016,699,170,225,133,918,490,136,582,121,984,972,709,598,392,731,824,820,556,
645,428,739,387,037,351,463,447,686,617,658,218,703,789,504,936,102,749,595,
740,372,157,315,542,946,825,433,176,080,679,455,070,948,191,319,997,643,033,
911,436,405,660,369,729,480,279,633,999,917,642,337,012,263,089,779,497,122,
947,296,312,903,463,689,564,164,878,405,240,141,244,518,627,059,125,430,341,
372,606,844,885,244,514,887,574,665,294,431,855,662,964,970,953,559,157,004,
984,784,215,428,666,181,330,072,676,886,477,921,184,841,425,724,141,804,833,
030,465,180,483,271,684,275,083,547,221,036,107,940,696,591,415,374,618,291,
425,194,816,134,437,029,692,665,993,446,884,076,121,366,746,786,390,708,662,
553,083,284,370,109,474,604,974,560,146,599,752,466,469,149,696,657,035,733,
244,532,844,242,587,528,451,901,873,358,447,771,010,948,850,963,714,925,080,
638,310,155,846,576,618,975,298,223,488,772,456,001,264,544,087,534,396,325,
365,743,566,259,389,227,691,450,721,803,195,511,234,692,722,597,233,023,051,
555,017,348,157,503,666,783,862,224,008,384,078,087,304,418,917,459,927,388,
794,480,509,945,480,515,487,400,933,695,226,232,386,053,343,990,666,754,429,
857,629,922,874,918,364,888,481,606,669,331,115,454,815,502,834,027,994,192,
111,756,144,455,777,733,973,504,342,728,363,668,761,239,397,874,698,388,179,
915,026,807,608,134,799,259,733,660,347,784,782,556,205,928,585,065,258,440,
544,603,706,138,234,511,862,409,940,359,940,093,865,257,641,278,140,622,113,
299,488,961,666,995,182,778,949,295,823,445,874,722,358,373,629,863,270,343,
033,650,041,014,647,980,877,466,267,408,184,544,477,727,852,802,859,208,143,
619,579,711,220,867,828,464,460,278,604,990,989,184,256,557,261,336,280,936,
346,207,263,378,420,502,704,240,274,345,225,163,941,206,652,434,617,086,180,
833,995,940,620,802,820,636,474,436,485,069,913,144,570,954,145,911,042,691,
732,711,872,181,486,301,366,199,530,350,177,050,427,855,468,838,778,416,273,
435,013,249,415,360,502,716,552,051,124,901,510,083,865,999,662,227,936,552,
702,455,823,465,029,683,063,246,437,405,108,954,908,011,919,589,710,772,144,
771,359,035,512,413,575,765,879,785,911,372,765,900,947,716,014,617,760,593,
299,233,438,427,438,475,711,930,980,566,561,400,298,745,506,655,775,228,124,
189,780,204,039,305,606,436,003,990,273,739,820,130,216,090,268,039,842,532,
948,650,363,548,145,736,437,454,854,536,816,307,803,380,856,656,216,836,018,
610,459,746,193,659,934,397,586,244,179,219,589,004,186,276,214,330,176,812,
914,629,145,537,710,421,219,398,778,401,121,839,158,339,862,294,370,746,809,
093,256,428,834,870,983,082,993,513,287,503,684,348,873,350,002,366,729,567,
433,755,630,490,707,649,066,616,210,009,690,377,038,686,182,105,485,004,804,
187,510,106,645,384,787,032,005,745,459,658,417,475,768,813,783,747,923,924,
558,751,208,227,370,589,880,331,161,094,554,929,207,281,460,112,708,722,655,
851,899,574,874,497,640,278,598,670,974,849,941,980,864,609,217,798,225,569,
496,623,992,743,258,824,980,867,577,717,151,584,082,793,216,905,085,653,018,
545,129,918,164,321,032,095,986,201,117,121,037,942,969,022,193,229,764,524,
514,626,136,133,035,231,088,124,785,396,882,932,578,901,345,032,423,186,234,
515,880,573,595,687,056,292,046,280,977,974,467,713,787,355,068,237,570,183,
840,235,350,264,522,813,751,777,909,125,537,250,321,499,981,405,628,938,243,
765,540,506,780,118,423,410,334,869,498,525,151,267,349,776,286,307,702,350,
064,025,216,987,205,799,647,841,263,594,383,652,165,931,634,491,653,006,888,
755,878,814,392,820,958,447,772,107,250,121,660,749,941,419,605,643,661,608,
158,111,752,093,866,579,908,418,123,443,294,955,190,122,392,111,453,195,876,
274,411,308,784,109,257,128,426,459,603,105,726,648,795,290,685,732,096,090,
981,681,447,315,713,745,964,316,344,942,936,019,408,217,380,146,989,967,611,
270,769,548,544,890,547,842,173,967,412,778,564,296,084,949,879,250,723,829,
624,957,683,370,567,596,517,263,223,350,420,761,364,872,768,784,424,230,519,
827,195,577,733,534,431,407,337,956,651,083,744,531,311,505,923,790,518,812,
425,541,778,237,793,192,374,753,719,820,653,058,480,479,574,553,123,275,897,
716,582,670,229,840,385,577,465,810,651,760,239,955,156,354,704,410,498,622,
125,502,891,370,656,976,679,607,430,704,496,486,576,047,451,740,205,510,989,
223,262,936,456,223,998,650,940,195,293,249,780,480,206,509,198,531,081,908,
444,983,449,228,646,173,134,063,618,897,141,332,323,673,368,541,599,833,312,
180,498,123,628,869,583,036,163,581,488,160,617,818,828,285,948,605,511,981,
484,995,630,170,327,243,943,764,214,756,077,817,214,633,410,296,786,668,793,
278,298,968,128,070,951,366,971,702,275,700,058,447,078,030,780,477,567,464,
765,462,170,807,984,940,443,760,929,308,008,268,435,504,115,324,009,027,671,
427,487,237,291,946,662,794,467,205,935,740,868,056,820,788,213,054,055,530,
605,394,407,947,469,779,093,844,785,065,171,113,586,665,506,804,237,334,946,
964,491,205,841,815,574,768,560,263,994,633,814,650,489,649,697,308,602,001,
727,142,521,322,040,260,962,229,016,412,737,084,906,933,549,694,109,844,821,
689,512,284,427,600,966,424,165,108,233,742,115,646,289,324,670,952,522,587,
842,709,003,348,274,019,607,402,531,892,196,887,387,555,159,856,365,670,214,
874,444,832,320,961,178,514,930,102,849,951,400,932,583,468,423,829,015,615,
772,300,236,499,746,122,061,871,367,742,257,806,764,848,240,195,156,352,194,
695,908,776,084,390,287,497,182,646,039,455,398,343,646,432,288,401,886,696,
578,108,006,888,650,850,015,811,146,397,786,252,176,350,951,779,434,571,076,
065,807,350,417,270,425,721,430,568,529,527,742,607,062,332,284,318,696,690,
181,957,549,421,662,301,435,337,561,827,115,567,762,809,976,285,532,286,755,
611,184,878,603,118,753,262,970,019,980,660,287,822,891,481,145,186,816,370,
732,726,469,466,423,716,117,657,716,523,720,601,798,928,907,921,773,465,514,
386,126,859,776,208,724,855,376,760,697,199,352,036,337,898,031,962,161,515,
087,183,875,536,361,300,241,269,486,446,649,644,584,501,234,355,810,453,896,
944,736,617,255,807,898,549,379,767,635,811,369,473,961,674,046,549,082,115,
195,396,250,310,977,940,472,513,799,666,798,575,687,601,194,924,776,196,152,
073,382,913,014,903,397,909,550,726,925,918,193,287,900,266,835,909,927,553,
778,711,300,137,987,603,572,379,105,601,033,885,179,122,193,746,544,568,984,
453,003,041,854,999,423,336,730,370,565,380,543,205,752,543,497,280,479,948,
463,257,967,844,724,003,156,075,414,463,314,178,903,630,724,486,640,572,459,
716,710,008,303,119,342,689,969,231,281,316,642,964,497,507,617,984,669,079,
379,503,681,833,695,173,435,052,011,700,658,178,391,695,541,406,252,768,475,
108,148,420,920,526,568,957,946,395,277,997,128,774,879,237,323,243,655,447,
258,333,426,073,460,215,047,880,393,336,644,537,082,868,772,676,757,603,576,
032,539,829,817,732,891,587,126,330,319,273,855,065,801,732,279,123,992,567,
619,185,871,693,285,650,559,010,370,667,144,451,569,349,906,054,981,223,464,
256,335,183,924,396,768,958,103,817,568,007,839,937,752,727,432,435,928,926,
694,345,897,573,828,664,859,214,440,878,009,519,690,708,478,737,286,499,216,
714,705,123,468,118,193,458,297,510,534,090,230,500,354,430,677,047,126,331,
178,360,645,188,054,517,930,640,383,181,705,018,794,250,131,872,304,254,368,
998,912,720,426,522,394,286,927,354,282,165,859,542,714,524,698,171,993,931,
884,137,595,992,338,530,702,600,602,239,607,280,009,277,598,919,501,304,327,
697,134,059,631,475,466,956,640,411,377,434,216,668,021,842,828,391,726,518,
351,717,802,898,863,443,237,048,076,161,007,194,877,498,274,351,368,845,747,
690,192,249,545,274,137,328,015,702,393,160,788,819,935,753,557,772,415,368,
576,273,459,591,344,480,934,048,285,970,371,070,917,505,481,175,279,561,093,
365,832,383,155,220,388,106,572,634,060,147,283,280,540,721,896,991,844,315,
966,014,204,899,856,563,803,951,754,119,530,554,723,815,000,300,844,228,128,
958,599,593,422,392,750,382,918,958,756,073,896,703,087,296,412,354,035,803,
568,847,649,304,734,950,358,397,462,175,277,564,691,461,664,850,484,214,877,
299,338,909,246,729,487,135,474,522,091,903,006,726,201,125,501,851,579,327,
543,445,925,838,018,109,402,049,079,291,905,419,283,888,704,298,799,638,344,
440,232,230,766,034,361,360,898,883,789,659,627,148,783,000,610,376,867,641,
003,181,512,671,047,048,902,076,533,144,860,077,079,749,194,052,852,391,979,
373,670,221,405,088,204,260,656,669,390,876,685,452,865,245,613,081,676,119,
895,333,467,519,548,709,909,427,050,196,500,432,664,381,661,165,552,554,398,
584,174,651,279,335,859,353,126,893,479,914,920,183,019,509,432,378,281,772,
767,218,576,583,163,050,265,799,834,988,203,068,946,558,414,490,654,451,417,
278,609,449,367,394,258,371,744,137,445,582,872,426,982,341,253,542,850,239,
982,060,386,891,825,325,009,057,814,577,608,039,778,021,145,446,040,915,901,
316,402,055,917,149,682,788,089,922,985,346,639,697,453,059,121,862,691,126,
066,394,421,127,847,940,446,365,378,454,191,266,261,671,284,665,663,750,539,
829,329,894,126,985,072,989,396,101,748,185,695,549,512,583,334,916,745,599,
824,713,053,971,912,032,656,839,961,446,053,375,356,376,809,389,314,543,133,
416,515,231,259,558,296,620,295,866,050,035,729,605,149,952,276,079,370,577,
479,779,175,514,858,069,021,659,026,228,797,921,933,982,441,504,660,907,320,
397,659,657,163,558,796,793,812,956,950,867,146,814,109,618,409,644,717,796,
733,146,249,696,539,184,305,361,112,834,465,081,913,297,823,986,585,518,704,
077,317,950,950,582,833,815,040,141,532,096,772,751,593,982,053,282,084,325,
864,409,125,495,903,694,052,031,844,818,396,176,241,391,425,274,208,423,757,
879,093,324,565,686,828,965,225,625,794,585,146,675,572,377,072,897,354,531,
480,966,573,003,684,247,698,937,140,575,201,158,337,466,458,779,832,905,766,
478,319,116,357,451,417,942,349,584,971,688,624,334,981,623,066,213,700,866,
626,219,925,493,349,465,905,120,543,708,319,868,719,287,144,669,029,333,330,
916,558,687,129,884,815,094,026,313,032,028,150,184,408,543,044,024,722,687,
624,683,257,639,021,869,863,098,705,621,766,361,050,428,871,065,331,566,679,
140,546,680,348,266,998,997,675,762,892,294,300,891,581,210,875,527,738,779,
952,617,892,357,106,105,356,637,940,218,054,168,973,274,850,680,746,088,695,
104,591,014,122,459,926,920,265,482,420,966,158,143,901,660,792,952,591,154,
902,499,443,429,421,276,536,693,829,875,595,094,544,770,859,929,562,271,990,
035,422,850,751,009,882,362,936,302,670,217,031,177,096,751,553,506,644,331,
366,899,258,971,663,223,409,400,442,746,019,171,465,825,427,537,023,803,576,
022,301,078,429,122,790,954,156,778,950,201,177,837,196,892,567,632,438,175,
840,439,470,528,545,800,999,033,164,139,968,725,045,796,096,930,714,194,345,
287,738,752,341,371,554,924,859,798,750,592,835,437,608,536,035,438,700,276,
777,226,538,488,352,891,411,831,503,665,680,124,049,705,888,117,823,474,730,
909,259,761,250,074,878,163,866,198,126,228,722,958,424,801,842,567,044,850,
414,293,616,887,514,502,599,386,482,119,176,778,716,210,589,801,042,850,929,
848,903,420,310,227,764,180,150,935,387,583,930,547,566,044,847,568,688,349,
195,379,926,959,785,764,362,619,306,101,189,255,042,698,077,047,228,241,780,
075,376,760,970,653,073,628,164,819,551,654,911,105,962,497,153,722,075,351,
848,088,275,860,948,804,160,647,986,989,929,742,957,140,446,179,924,225,988,
090,698,582,255,408,681,905,271,602,067,350,617,804,471,025,967,970,131,605,
769,858,437,710,005,417,528,175,702,629,023,434,400,783,886,387,439,687,125,
712,789,588,407,402,415,444,908,741,165,788,480,711,920,636,793,295,391,123,
848,790,853,703,060,743,904,955,994,579,481,427,130,345,423,467,370,740,234,
280,065,245,270,491,817,546,449,918,056,717,009,600,921,941,732,111,148,505,
744,564,143,107,307,091,568,795,251,827,237,792,713,522,976,257,505,950,353,
816,767,435,108,627,177,053,584,155,442,756,153,836,081,009,435,065,946,220,
382,454,375,361,750,634,555,644,201,721,206,586,749,298,392,794,218,299,843,
104,909,819,333,004,930,766,256,973,669,027,709,669,974,574,832,205,517,892,
156,718,983,812,559,058,540,225,050,696,390,031,009,143,390,131,192,997,203,
148,197,564,579,659,841,722,163,898,672,309,379,642,647,220,575,736,238,144,
623,283,562,048,604,275,170,865,955,336,716,645,848,556,816,536,986,489,004,
227,062,638,356,548,511,328,377,735,473,632,280,183,646,867,805,892,269,679,
776,233,250,415,481,617,048,966,152,283,019,717,330,397,877,593,241,283,589,
375,818,638,901,883,991,163,971,950,613,954,473,596,131,129,192,817,982,946,
077,886,221,191,121,545,262,287,888,853,135,215,899,762,806,626,824,823,339,
740,872,137,152,847,719,404,435,855,665,040,092,680,945,166,871,294,280,707,
546,225,205,591,945,280,120,632,291,451,163,700,026,146,262,217,815,558,426,
149,017,161,024,415,094,393,651,025,556,063,520,809,567,551,466,254,562,583,
527,348,088,257,391,303,641,400,379,840,885,967,447,706,114,393,822,040,799,
425,577,551,492,828,491,347,455,571,599,414,830,426,361,736,331,624,099,373,
261,155,028,068,646,967,968,101,770,128,914,849,119,116,646,147,580,943,745,
519,409,719,963,105,515,418,831,707,003,596,490,216,650,458,062,519,471,115,
771,697,986,125,559,305,819,634,179,822,175,273,698,046,786,763,702,671,372,
736,928,917,879,451,913,226,673,365,821,905,017,843,327,293,273,460,071,765,
392,787,647,933,296,342,751,018,444,311,429,139,770,607,269,607,601,143,803,
015,624,983,988,582,075,911,912,053,430,494,431,341,155,579,003,774,770,879,
843,035,656,724,264,951,403,165,756,723,140,537,981,289,966,977,038,121,568,
897,047,570,306,324,479,411,048,051,491,496,758,421,501,555,554,746,223,277,
831,605,981,620,896,891,954,623,138,006,020,911,462,347,284,007,452,870,262,
556,688,406,079,960,241,730,610,348,617,982,563,871,893,868,597,539,914,344,
865,393,976,137,163,533,296,533,190,160,176,707,242,109,876,908,185,072,914,
113,655,150,823,381,316,146,386,998,078,369,675,628,496,930,711,314,566,335,
237,233,508,916,066,916,649,546,176,970,744,225,294,433,021,840,244,249,308,
617,109,374,092,374,439,895,304,394,857,452,655,266,806,323,311,951,206,669,
060,267,589,646,435,633,798,510,389,949,189,125,740,970,423,536,121,180,505,
943,941,759,865,943,454,745,640,364,207,600,815,866,175,692,825,446,367,766,
664,039,511,747,272,434,056,077,567,193,362,684,672,362,924,693,338,696,872,
448,343,487,380,065,332,645,992,115,828,629,954,393,198,635,231,619,263,787,
090,667,975,394,412,812,714,603,332,292,063,378,446,251,447,492,801,995,881,
279,133,302,070,981,380,776,352,437,021,735,008,882,943,643,827,279,559,474,
119,126,716,884,908,718,659,523,286,432,334,079,920,989,935,686,091,145,754,
219,414,355,723,169,562,432,676,548,979,259,817,383,819,873,265,497,336,666,
708,717,368,199,385,639,926,494,590,959,205,783,974,315,705,251,776,855,606,
439,981,818,456,024,031,720,632,307,828,586,696,554,453,086,171,347,362,891,
570,358,873,700,467,195,028,624,378,945,363,221,067,385,039,216,269,164,047,
404,052,532,307,025,081,480,891,080,091,977,907,019,164,280,376,063,454,329,
921,432,948,002,941,986,064,982,870,515,461,787,702,761,641,374,500,696,978,
050,691,153,553,112,680,699,166,670,886,370,553,858,252,094,457,725,252,330,
637,842,643,589,427,930,748,381,959,067,316,629,166,802,476,851,337,667,233,
187,759,297,921,837,947,404,336,126,712,486,155,124,475,736,432,994,332,890,
421,078,151,587,780,624,989,352,916,182,899,225,960,731,374,573,328,536,454,
085,087,546,499,721,581,377,592,643,774,165,163,674,578,824,665,837,163,083,
221,517,312,657,741,796,916,252,622,362,765,538,943,730,998,656,208,429,804,
653,841,249,491,236,417,681,880,554,326,063,249,856,396,689,905,400,160,228,
579,032,552,288,257,529,097,299,537,754,376,027,431,390,992,168,065,850,628,
675,330,546,713,464,115,063,125,505,785,058,005,070,250,376,525,066,667,577,
140,118,572,418,790,237,734,943,171,905,883,826,223,180,046,542,255,217,961,
240,364,991,064,439,282,310,284,700,486,187,669,245,918,635,520,307,437,330,
493,455,634,152,919,465,225,441,967,499,280,929,598,109,080,124,049,770,231,
815,219,580,971,845,187,108,236,603,235,692,555,559,481,446,579,470,684,114,
175,695,563,826,341,398,080,758,698,066,443,389,684,135,817,950,376,654,469,
416,462,559,747,779,193,902,050,493,387,285,821,885,623,300,768,107,700,353,
048,087,651,857,649,237,939,479,059,016,172,830,789,125,401,584,756,617,896,
272,683,429,539,016,871,842,509,852,413,860,033,803,152,559,943,919,574,875,
602,090,108,984,912,944,746,037,100,705,828,720,933,527,945,242,077,665,418,
748,393,646,163,311,255,515,750,441,950,642,908,559,841,451,478,791,381,343,
240,844,769,598,708,965,107,700,852,673,270,862,802,050,494,795,528,421,560,
988,156,783,446,039,967,928,063,976,550,667,874,620,905,228,793,504,388,567,
113,205,352,625,486,930,862,902,051,086,339,071,032,248,604,355,492,674,589,
853,338,008,351,514,859,657,520,663,539,489,794,341,634,737,683,428,764,092,
336,462,186,356,928,949,687,603,129,932,655,618,008,188,267,218,681,089,286,
354,257,229,211,760,767,713,597,726,570,802,279,919,279,911,525,928,843,116,
667,534,948,419,159,965,822,785,112,510,556,632,798,695,603,383,513,639,668,
266,227,592,284,017,967,330,294,435,599,203,177,915,572,802,080,126,964,254,
523,426,195,236,808,143,652,476,659,930,939,402,934,777,271,221,175,497,982,
002,542,112,229,538,865,436,509,116,370,554,536,411,918,865,152,242,401,839,
124,165,843,714,669,481,997,562,465,111,579,247,005,252,396,560,169,953,805,
291,869,509,529,485,394,287,220,715,711,043,666,644,466,476,944,531,741,787,
869,829,193,162,365,208,791,531,067,014,191,993,576,743,511,990,002,394,621,
646,056,558,657,405,129,975,441,711,250,938,710,489,834,254,506,662,163,646,
558,659,856,191,991,848,952,513,790,178,515,631,054,072,844,535,022,622,268,
893,883,302,775,753,125,952,505,445,941,613,064,719,376,679,779,193,054,576,
204,625,589,819,583,574,523,169,969,329,058,047,382,394,139,889,502,812,447,
725,637,546,185,700,887,037,550,201,196,770,942,135,756,193,827,320,315,707,
328,238,378,812,612,075,764,574,301,690,498,442,560,741,280,112,499,211,415,
155,857,600,393,390,686,091,518,991,645,556,198,389,841,657,633,460,234,980,
169,230,836,773,713,984,386,367,670,215,866,947,204,494,292,858,876,275,783,
916,824,893,796,802,827,094,368,165,631,392,492,553,178,205,881,952,484,318,
657,145,635,505,137,516,554,615,356,773,680,291,323,085,083,425,614,281,077,
167,742,921,687,834,280,992,533,294,464,077,107,704,516,132,544,162,145,900,
660,987,466,481,785,201,447,064,593,644,993,233,736,766,473,665,796,511,429,
510,512,279,749,633,220,965,512,549,612,912,044,685,806,304,354,086,080,616,
811,700,685,498,771,730,241,894,054,175,070,425,452,144,368,118,768,589,640,
353,435,332,394,818,735,821,370,317,974,960,002,487,579,041,871,565,146,685,
230,248,112,745,488,900,402,209,667,914,624,084,307,359,838,030,816,646,859,
194,417,605,691,420,986,172,004,176,881,356,864,389,623,456,231,485,335,700,
964,168,767,095,190,734,821,199,588,328,200,158,997,906,929,337,457,849,490,
748,727,620,973,380,232,917,556,468,873,208,992,546,643,571,661,112,377,029,
925,219,970,916,012,450,680,486,038,656,447,334,465,878,587,510,360,768,467,
991,244,178,631,134,351,086,615,971,189,283,524,303,604,423,551,107,235,633,
973,691,202,947,236,215,859,251,914,460,713,881,399,144,561,471,205,571,168,
095,863,886,852,219,085,040,544,530,241,842,783,523,277,761,897,086,899,095,
360,564,600,261,549,513,507,601,749,785,443,150,439,369,668,220,811,151,860,
975,966,110,051,643,625,897,354,469,763,957,282,270,023,486,827,026,567,385,
874,124,701,392,153,809,473,752,545,548,555,464,578,136,162,679,098,668,085,
554,897,158,995,503,603,221,992,250,367,860,550,367,020,338,697,902,358,470,
629,200,931,004,449,289,918,680,635,833,868,700,014,295,530,609,388,101,464,
929,672,786,540,018,831,608,846,754,552,982,741,577,369,820,777,271,514,972,
771,735,019,199,333,938,455,720,455,258,356,384,012,180,910,030,213,434,984,
552,570,073,208,996,419,951,400,199,356,648,963,485,004,052,561,065,677,679,
338,844,767,217,717,329,726,220,548,136,493,883,357,403,918,259,922,311,533,
171,441,826,671,894,888,768,917,803,496,537,329,640,542,667,088,894,248,458,
288,227,915,842,114,911,442,955,037,113,287,710,933,445,313,732,982,197,649,
890,203,264,978,537,820,636,140,355,773,687,861,111,641,114,714,761,428,702,
124,281,992,056,829,979,118,052,925,899,832,749,606,149,427,327,926,097,229,
697,333,344,407,677,557,556,342,231,205,830,481,101,318,669,742,196,663,689,
473,846,556,860,799,796,604,145,106,389,162,452,925,787,528,884,878,129,219,
143,994,634,521,704,601,923,394,927,354,188,679,272,614,881,237,516,892,825,
333,408,558,259,703,412,396,563,263,151,792,260,633,144,018,836,508,033,035,
359,397,765,234,760,466,096,694,579,811,451,299,362,639,154,809,864,051,182,
974,858,782,728,340,098,137,111,461,820,682,486,813,020,329,075,826,846,168,
569,678,268,390,693,258,816,608,619,804,424,629,219,147,822,787,810,808,291,
238,398,002,833,471,223,478,353,307,358,741,447,498,656,020,743,087,671,269,
337,028,340,703,457,824,669,947,790,062,411,397,058,327,405,490,960,178,623,
076,041,333,382,550,446,540,423,273,761,592,622,801,990,561,056,000,145,714,
777,970,804,870,880,183,350,886,162,513,382,894,129,550,983,222,617,460,061,
263,758,705,426,969,649,458,626,885,928,435,932,679,464,082,457,210,982,508,
678,308,004,720,377,934,163,569,783,224,156,509,411,106,266,523,552,092,614,
973,195,339,922,277,142,815,871,392,112,074,445,201,577,873,871,864,685,266,
514,233,928,608,144,089,882,187,084,402,345,283,241,676,650,085,728,675,252,
732,000,729,455,016,742,988,278,409,294,424,930,760,775,094,497,207,344,877,
062,744,093,312,838,055,853,229,825,512,999,848,415,573,682,238,368,113,287,
767,240,551,311,439,834,756,379,482,180,048,916,841,937,637,052,298,593,649,
539,912,955,844,055,936,323,340,600,647,759,792,439,568,240,770,620,186,964,
210,191,993,961,303,203,350,857,295,102,153,117,667,691,592,218,878,150,743,
316,261,607,379,203,926,514,054,015,930,089,033,026,157,085,630,019,360,975,
713,446,210,328,907,293,710,763,815,251,574,117,513,890,649,473,964,990,143,
316,777,561,363,738,584,404,761,712,934,197,565,162,148,897,758,954,518,106,
061,873,234,049,550,746,849,058,927,095,190,001,114,227,496,673,745,675,290,
796,179,630,290,770,540,032,248,237,668,994,380,759,831,122,261,890,008,662,
926,566,943,106,941,700,714,471,358,312,472,861,687,064,111,904,178,892,300,
783,866,965,593,402,304,982,258,288,721,958,657,366,158,650,193,866,705,514,
897,205,513,496,159,758,246,079,168,415,248,380,660,951,644,231,183,136,826,
663,744,936,011,527,330,169,137,475,957,009,984,681,383,971,601,028,574,158,
556,996,153,240,242,813,776,107,133,537,615,566,588,276,725,380,556,311,180,
610,755,051,303,212,094,274,374,737,897,996,026,929,006,010,551,312,591,982,
016,087,922,109,618,406,130,653,400,189,670,551,958,298,624,044,362,520,234,
764,127,528,954,313,592,813,489,786,298,505,005,424,597,098,437,610,232,654,
688,082,393,344,524,255,106,979,665,741,592,754,160,151,070,050,781,401,074,
045,552,574,681,024,504,852,038,216,904,739,139,009,776,349,650,404,152,814,
206,428,075,110,365,010,433,498,326,419,357,435,885,844,178,473,908,190,796,
065,543,514,392,654,008,207,875,583,826,256,517,715,063,891,354,560,831,275,
543,524,742,978,352,641,282,735,197,227,401,660,800,245,517,787,882,948,978,
228,793,827,568,957,638,150,273,231,767,153,596,253,137,937,870,490,732,397,
432,928,456,992,123,130,618,742,180,062,886,488,809,183,967,327,545,498,942,
312,507,682,209,767,511,814,220,584,361,207,816,907,270,000,485,015,336,577,
903,743,771,664,727,387,556,123,140,144,768,627,989,584,673,901,523,015,126,
530,983,868,707,803,053,012,126,995,956,341,159,428,246,060,974,399,175,540,
478,060,509,987,456,382,542,224,998,877,537,369,820,190,473,987,183,122,612,
166,646,640,520,241,754,808,362,616,544,204,884,810,373,084,243,437,093,741,
056,163,463,710,378,732,513,284,012,729,389,565,149,158,042,243,286,805,822,
053,925,060,220,298,996,949,162,460,197,025,638,777,059,498,844,812,459,203,
157,206,924,789,813,904,913,891,148,352,144,824,461,328,205,950,642,709,094,
394,924,687,847,232,796,005,247,130,935,288,094,097,427,748,973,440,425,012,
353,780,147,014,311,231,972,938,478,279,192,714,764,452,651,366,352,866,578,
997,867,893,113,834,199,258,334,090,331,084,747,134,234,310,594,980,299,493,
858,542,340,600,166,833,683,660,701,321,619,113,863,885,749,216,089,584,384,
774,078,691,874,746,115,192,872,800,716,991,237,626,376,239,305,075,693,485,
711,013,578,458,248,791,346,881,181,550,834,988,893,735,770,047,195,810,915,
534,189,094,841,476,701,417,198,343,108,687,340,500,551,384,358,491,206,200,
907,081,850,870,193,660,503,530,277,086,923,174,256,750,720,868,735,819,538,
124,199,930,167,356,935,288,551,133,936,815,194,350,682,443,243,593,453,818,
249,732,525,877,891,938,434,284,099,766,173,028,270,675,150,039,638,706,314,
150,207,215,036,560,487,847,240,505,486,255,327,622,693,373,240,735,010,395,
699,173,076,211,543,267,540,039,600,804,793,197,808,517,714,210,197,926,394,
946,013,884,656,374,901,598,974,172,939,501,024,138,113,459,859,800,924,425,
079,720,734,766,141,655,151,191,252,654,487,588,633,385,040,820,872,311,466,
726,493,179,089,595,407,655,448,544,690,752,122,663,553,051,089,579,490,704,
284,984,088,130,085,506,183,235,893,619,200,331,467,134,433,412,465,980,484,
743,695,006,066,633,237,932,722,421,789,868,177,684,967,030,531,182,613,717,
181,408,479,718,318,183,314,667,884,572,195,648,555,965,107,635,412,042,488,
263,998,439,259,251,148,516,824,966,410,079,187,889,698,049,427,772,061,958,
766,209,103,701,800,308,925,260,800,139,115,875,630,259,723,107,956,566,074,
995,747,322,798,111,496,040,042,735,839,730,801,158,909,019,345,956,336,132,
663,055,746,091,337,555,028,188,840,743,715,812,703,466,764,794,499,865,441,
186,648,901,923,429,651,719,344,422,488,887,213,267,367,937,999,407,417,015,
608,865,951,307,258,135,768,473,095,718,856,212,066,263,327,482,930,109,591,
459,550,583,642,833,371,359,397,751,392,714,957,407,332,963,034,850,503,182,
317,310,982,524,709,988,795,217,129,251,179,062,990,939,333,659,251,329,227,
448,179,960,429,754,812,732,109,046,907,956,424,744,973,388,520,948,332,039,
158,792,017,110,908,151,831,175,262,546,392,308,251,574,849,688,879,383,350,
592,746,896,160,481,018,504,483,753,130,113,042,973,837,913,019,326,542,759,
070,503,503,912,594,662,156,177,545,924,643,433,644,597,878,390,164,285,311,
124,779,465,883,709,169,862,689,166,138,921,365,097,975,838,124,502,278,058,
768,295,197,175,766,531,570,716,570,465,167,304,787,079,931,723,741,601,193,
277,868,471,847,971,964,162,462,181,474,153,724,520,258,486,785,639,083,915,
088,569,951,374,001,954,995,419,432,580,812,785,659,834,408,408,401,620,859,
702,381,456,339,499,868,635,013,812,346,696,530,985,724,503,549,226,645,367,
184,786,257,951,797,252,995,185,406,627,907,753,953,569,376,213,982,294,590,
883,725,736,324,767,433,712,637,994,111,789,796,013,122,244,232,420,417,136,
724,479,371,909,109,586,377,225,963,592,925,982,681,996,221,108,028,895,988,
067,198,443,274,748,334,773,178,482,184,877,784,946,505,821,148,323,411,523,
065,544,809,583,045,210,076,845,470,344,939,318,221,980,137,519,557,950,328,
423,544,009,835,676,287,773,110,195,690,442,205,121,118,355,038,050,275,110,
582,426,491,291,759,305,388,544,220,777,949,813,376,972,114,075,045,594,940,
729,483,048,809,905,755,567,742,268,984,996,480,853,878,295,013,186,935,755,
796,518,876,400,956,809,390,334,588,538,305,275,890,490,371,412,071,016,617,
679,293,517,029,916,413,500,326,741,062,417,521,493,298,756,016,620,986,820,
640,618,491,037,989,331,658,308,712,263,721,003,073,013,394,501,761,649,904,
246,861,558,972,281,755,900,391,214,033,238,077,706,714,746,088,064,993,252,
695,082,768,435,229,333,711,881,535,947,081,522,064,941,513,576,800,616,809,
703,115,158,892,597,190,907,935,033,632,871,773,423,041,197,504,896,251,121,
909,869,549,028,112,008,448,894,103,298,962,501,241,760,584,205,562,614,701,
317,548,740,935,344,121,108,273,625,550,987,192,379,561,296,174,903,473,851,
895,390,248,259,881,865,868,344,674,247,003,373,474,195,595,270,561,591,788,
425,443,525,580,821,522,181,805,802,146,844,911,801,719,479,627,731,684,490,
955,030,907,669,230,120,379,298,315,822,112,481,700,113,013,573,950,557,184,
951,306,664,823,976,994,493,416,996,365,692,251,366,567,116,084,280,865,846,
635,592,355,915,074,435,132,841,585,635,183,723,863,217,068,878,566,242,398,
576,818,533,740,982,811,009,944,829,139,727,642,084,706,922,094,780,273,027,
848,946,980,894,084,537,335,774,354,226,896,578,671,834,666,946,710,233,034,
501,926,926,809,656,344,385,959,666,079,556,614,967,503,735,258,993,160,019,
574,880,299,200,327,016,032,648,091,732,238,346,299,707,851,482,119,041,095,
456,130,593,472,442,369,396,600,829,555,282,580,975,208,898,701,981,445,398,
255,261,355,206,220,711,484,285,584,585,320,033,392,230,540,675,076,933,175,
804,146,988,792,934,740,517,899,012,870,020,303,910,164,794,338,716,315,775,
895,628,475,043,794,202,313,148,136,058,946,339,988,919,406,648,749,888,918,
991,106,663,621,243,074,761,279,805,596,284,233,877,330,984,203,876,679,738,
019,878,318,900,931,688,159,898,807,809,849,273,195,683,724,022,158,906,192,
924,521,888,243,126,373,902,081,848,810,642,076,708,242,455,963,256,409,900,
010,386,150,599,264,279,930,151,826,924,085,150,587,313,743,775,353,859,401,
041,767,401,338,889,225,133,582,659,837,583,931,495,344,110,873,381,221,943,
774,209,293,916,758,829,020,719,338,714,886,765,673,610,170,470,646,553,318,
108,786,128,658,114,391,073,919,487,073,704,199,147,312,122,689,380,493,838,
626,764,348,361,686,276,131,596,924,419,521,121,655,288,749,032,105,953,795,
323,401,977,319,239,106,070,291,147,266,697,288,182,073,699,889,218,176,696,
353,298,405,002,399,318,780,125,220,001,512,276,213,393,523,793,440,398,935,
621,053,419,241,392,730,405,792,011,968,409,145,680,525,002,883,067,176,300,
866,224,332,238,910,334,955,924,442,195,866,301,930,730,605,841,636,521,261,
420,587,504,521,340,229,313,372,972,738,929,389,499,255,239,646,621,630,497,
922,469,442,810,977,332,924,216,230,428,153,486,779,676,133,971,107,672,584,
974,495,117,880,433,376,199,186,721,955,379,333,643,621,179,814,115,555,719,
839,630,752,759,060,989,494,365,579,331,531,985,803,951,943,683,840,971,149,
669,767,854,027,073,061,776,503,970,887,313,868,286,741,747,803,040,343,463,
194,338,136,957,199,244,975,663,053,871,160,814,110,480,897,665,505,086,648,
112,208,999,346,379,523,682,382,160,925,706,807,973,181,337,405,937,683,021,
079,713,624,830,729,454,285,998,131,042,992,085,768,517,851,498,818,789,641,
644,695,629,235,252,018,250,015,010,496,396,881,471,950,776,554,385,701,122,
855,850,535,225,934,758,977,960,493,312,189,636,483,787,079,812,013,817,139,
131,919,577,732,522,290,811,724,740,229,190,133,314,148,274,241,618,567,941,
337,934,351,533,578,344,144,823,289,060,905,508,860,102,349,018,939,730,173,
052,304,294,080,535,834,620,150,914,298,445,446,689,025,496,100,902,881,212,
990,245,911,157,665,162,843,937,751,301,423,911,210,566,086,798,934,851,847,
644,182,252,371,827,819,145,247,814,580,420,635,553,174,161,737,782,019,649,
008,385,552,897,824,634,456,801,567,518,054,016,224,657,163,350,084,575,652,
041,794,657,017,325,359,226,764,482,024,417,215,707,074,779,344,827,690,879,
767,342,915,751,928,658,133,398,062,529,925,424,315,739,229,193,259,500,509,
903,867,814,676,878,165,436,580,431,867,194,830,428,646,777,751,470,882,185,
348,330,430,264,158,226,751,678,827,818,888,932,738,952,060,500,567,154,228,
274,115,981,612,606,357,665,420,641,514,781,348,148,148,633,352,559,671,568,
403,667,719,194,939,329,839,542,033,305,313,829,527,121,185,110,039,859,175,
572,050,879,832,388,982,326,205,925,862,440,817,192,989,305,728,662,189,950,
308,257,155,613,792,384,895,710,002,454,234,609,105,274,968,173,509,580,786,
986,441,520,818,062,174,109,194,367,814,351,653,405,740,571,910,808,870,337,
147,270,438,056,994,549,606,023,264,347,950,513,970,210,844,282,341,574,985,
324,568,260,125,956,881,065,541,892,819,804,834,178,919,612,307,105,503,445,
207,792,295,547,154,738,343,375,226,520,046,776,663,485,343,006,628,604,458,
249,970,231,192,214,048,363,999,833,761,670,786,111,322,103,039,709,132,927,
983,769,294,140,489,765,806,419,489,179,799,651,471,825,781,752,896,206,023,
229,858,589,470,802,953,465,426,682,329,216,480,305,976,430,421,187,573,670,
553,807,442,710,606,067,202,261,706,356,152,403,414,751,279,692,366,190,236,
758,313,739,116,953,930,470,091,845,446,725,514,425,036,225,161,665,470,640,
815,335,814,018,778,438,794,901,500,368,474,296,374,914,489,892,457,494,846,
638,208,475,668,318,674,406,783,718,755,777,282,325,204,415,379,498,983,474,
181,059,412,703,112,800,699,609,350,464,019,229,804,413,281,329,351,041,156,
464,706,252,318,089,258,840,221,236,915,749,983,746,816,290,681,531,331,189,
038,273,043,177,332,583,594,026,862,182,321,226,349,713,125,787,744,833,516,
241,610,279,911,103,288,979,854,124,391,057,689,287,172,967,689,121,065,627,
627,088,629,188,394,395,367,100,752,777,601,044,647,347,187,792,856,637,672,
243,372,847,303,658,084,207,883,533,309,631,388,625,886,646,110,440,072,869,
906,304,571,595,506,742,060,481,140,436,974,788,533,853,394,807,794,120,525,
376,814,282,500,628,826,538,799,207,744,572,418,615,529,980,138,677,887,520,
248,817,221,739,381,478,065,447,163,096,965,542,566,637,259,347,499,742,798,
720,750,348,652,952,217,445,738,762,934,665,985,100,741,524,144,340,043,710,
329,208,472,192,511,419,923,082,814,810,517,979,114,842,215,576,971,459,559,
022,796,391,207,008,029,098,989,998,305,344,859,872,223,049,991,264,542,440,
451,580,144,448,851,911,141,915,322,926,885,651,801,684,547,114,358,074,394,
916,163,672,164,860,828,965,999,287,759,201,385,226,576,373,093,223,532,404,
602,946,625,204,533,810,948,841,369,832,893,706,062,690,547,535,950,585,754,
456,421,432,601,399,979,550,272,603,782,858,042,638,883,632,704,056,697,035,
938,129,652,081,989,513,675,768,935,174,576,414,991,512,150,076,597,588,226,
444,046,496,853,185,588,294,510,235,091,654,217,057,863,789,766,463,826,142,
385,000,789,032,799,310,490,963,713,149,126,975,224,063,553,634,888,075,950,
697,028,422,851,606,022,053,428,030,556,115,601,212,639,487,058,462,562,490,
250,310,945,815,889,537,577,873,222,975,305,806,451,018,546,365,574,748,446,
902,549,615,247,633,920,407,655,634,136,398,955,218,171,000,344,969,794,105,
109,990,108,092,150,580,662,073,467,603,919,621,090,758,473,644,876,930,015,
909,949,469,834,969,728,249,529,091,500,173,494,711,805,830,161,020,666,908,
111,350,621,407,650,642,538,001,449,556,007,598,628,863,977,465,104,144,580,
314,034,277,984,897,781,544,398,844,830,928,620,796,861,747,260,312,748,294,
144,265,639,678,594,981,144,728,696,587,487,764,692,504,638,150,347,748,571,
963,699,850,429,691,829,523,877,115,774,440,139,846,045,886,474,220,183,552,
984,536,942,713,200,841,129,698,550,272,957,720,840,204,365,460,846,452,232,
373,446,156,628,671,364,078,761,211,973,208,054,888,607,776,489,625,234,449,
354,737,260,687,969,461,161,036,701,729,430,140,739,669,646,275,679,719,699,
955,150,331,465,537,318,364,818,920,772,006,251,353,099,392,752,452,306,647,
907,499,793,270,531,532,436,355,782,420,730,124,724,232,110,434,634,862,108,
240,302,665,654,884,154,667,860,077,064,328,904,050,932,206,087,977,117,873,
673,470,779,501,218,315,967,908,020,976,350,912,580,148,162,234,381,232,986,
036,077,940,249,463,381,056,134,118,733,807,572,496,680,959,463,575,500,908,
845,395,383,287,317,445,386,944,170,234,425,272,595,396,869,293,200,874,885,
146,232,810,885,254,040,174,279,948,655,082,779,538,433,928,366,282,527,549,
373,684,611,666,192,130,041,807,499,922,256,350,229,067,831,285,734,017,067,
261,231,669,939,145,031,216,295,430,314,255,539,931,643,431,889,641,074,641,
183,704,369,762,820,943,694,626,594,206,577,459,928,453,463,771,811,448,612,
047,754,560,661,407,293,320,050,901,626,220,717,805,336,702,628,338,355,928,
725,125,816,061,698,067,737,873,544,460,540,075,028,850,526,016,231,838,285,
175,141,377,833,799,239,918,336,114,294,002,437,690,693,626,797,734,072,452,
679,082,540,652,203,620,110,301,122,834,642,054,456,635,596,481,374,176,824,
020,932,101,024,785,301,883,676,236,059,898,021,754,791,872,450,255,676,874,
334,136,084,939,433,968,149,050,382,514,335,398,574,392,343,147,233,957,366,
482,923,508,988,996,191,912,002,329,276,923,525,538,773,687,170,278,593,568,
858,814,032,843,665,205,228,934,610,262,895,132,576,153,076,523,084,342,257,
450,162,526,477,483,687,828,527,789,934,509,685,310,468,761,888,205,491,716,
371,756,344,078,367,319,539,335,343,541,137,123,290,294,770,198,415,315,951,
697,224,960,466,702,498,933,540,403,539,167,160,160,176,974,277,606,033,140,
700,014,831,595,747,708,399,234,710,691,463,410,571,875,809,684,936,650,219,
127,713,680,802,235,682,991,899,102,261,567,312,923,985,131,293,629,966,258,
578,312,480,683,369,538,459,610,626,600,071,645,725,252,383,702,039,748,900,
270,496,575,738,701,052,442,202,333,526,652,717,771,176,208,891,733,239,044,
083,651,551,387,933,078,728,402,534,809,910,351,837,362,842,832,061,648,979,
451,235,458,082,814,940,241,939,728,662,076,743,150,074,417,140,700,976,052,
152,334,623,193,441,232,941,176,430,453,944,686,005,824,673,231,632,867,066,
776,936,593,274,688,201,301,132,895,089,680,938,752,067,073,852,637,059,930,
100,913,564,265,709,337,912,012,958,562,451,408,193,719,302,873,662,962,731,
845,196,971,923,126,212,843,814,221,996,516,619,631,927,317,157,227,281,603,
016,197,858,816,235,738,966,429,640,160,228,349,078,177,354,735,831,491,413,
326,810,006,476,562,952,414,363,667,652,804,064,733,116,104,728,948,079,380,
315,281,668,756,594,634,232,099,595,841,713,248,972,477,891,409,655,041,897,
531,383,880,367,129,151,874,229,545,792,987,161,614,181,145,420,345,831,406,
013,287,076,332,538,165,797,409,627,922,549,810,042,604,367,259,239,172,577,
511,003,391,734,721,834,392,160,628,329,957,907,653,690,159,163,858,168,915,
440,002,692,950,271,850,493,139,502,895,607,382,759,329,652,754,258,675,215,
766,296,657,325,667,902,808,186,004,635,852,860,816,121,705,421,722,198,755,
388,838,795,310,931,208,308,028,007,036,687,688,678,415,280,305,487,183,824,
419,405,245,467,051,432,969,049,441,348,659,544,554,493,492,636,583,513,171,
017,841,206,643,595,430,585,458,368,407,652,497,896,201,758,599,194,394,382,
069,907,267,579,474,643,378,003,722,600,204,388,933,962,882,719,328,177,769,
401,324,983,060,541,640,673,611,659,464,006,604,457,490,278,792,550,570,727,
954,560,272,465,436,969,841,757,682,293,873,515,883,803,430,726,228,330,779,
559,301,265,653,799,906,040,625,236,693,954,859,332,408,366,069,024,596,290,
916,987,013,768,631,086,482,089,570,160,006,045,902,490,407,216,588,682,478,
573,900,635,459,170,670,919,456,964,507,368,426,257,556,642,453,590,079,280,
549,762,759,550,920,395,255,011,777,215,328,161,902,724,260,372,005,189,350,
704,818,253,902,911,536,367,505,189,754,572,472,438,430,907,648,518,353,560,
153,935,523,228,556,767,210,597,696,126,421,466,901,725,077,932,671,318,236,
465,245,085,125,087,941,932,664,269,120,388,498,371,059,590,540,799,151,147,
015,010,221,547,719,283,700,433,528,578,126,338,605,208,305,554,678,227,689,
812,968,871,694,397,423,987,298,867,978,748,823,669,121,682,853,382,272,898,
047,598,092,952,958,801,691,999,468,892,707,755,645,952,836,764,659,379,289,
542,907,455,200,459,266,953,004,703,937,943,096,730,226,110,514,095,017,841,
558,148,939,154,605,137,959,564,009,368,282,280,015,076,792,450,762,005,109,
845,327,679,653,708,159,372,906,344,344,123,891,485,529,760,362,782,782,709,
129,481,238,708,386,811,893,054,990,751,635,726,829,088,199,012,663,374,502,
688,030,444,551,925,610,922,896,043,767,022,430,975,427,698,137,935,563,984,
614,514,232,168,887,856,050,469,833,288,599,196,395,319,313,056,734,293,528,
951,642,142,272,788,669,202,488,791,108,316,642,493,565,771,842,591,531,554,
525,822,068,333,816,393,775,759,845,251,357,152,681,999,638,657,971,816,051,
035,189,183,031,512,623,652,461,090,937,320,289,254,806,394,340,597,084,167,
477,758,066,651,439,029,258,292,167,489,125,812,219,984,454,653,015,164,356,
452,404,057,237,184,944,579,925,384,487,276,902,493,675,231,534,188,573,427,
259,599,833,706,149,321,918,854,823,082,715,027,157,563,176,856,410,466,455,
450,946,834,399,445,017,067,117,953,704,817,424,111,429,024,166,963,827,870,
589,845,279,236,074,442,089,569,018,066,673,068,501,992,852,186,332,645,827,
046,930,869,462,989,723,703,611,491,596,337,207,662,024,328,515,348,034,577,
211,941,176,643,405,968,294,273,698,398,215,085,712,669,947,115,227,123,959,
840,561,369,006,517,154,280,826,091,197,321,480,946,112,145,786,048,746,976,
243,569,445,136,938,183,206,811,911,075,788,312,135,516,623,026,620,376,772,
519,272,286,297,547,234,140,257,458,361,393,681,197,905,022,221,350,227,903,
771,797,916,844,129,280,743,319,925,002,663,125,203,569,248,365,211,042,615,
810,809,392,985,452,313,121,095,953,737,937,857,411,905,039,291,452,673,150,
995,817,216,118,447,559,201,222,582,191,620,924,940,733,896,273,143,347,694,
607,247,748,493,879,257,852,344,772,895,615,852,680,999,768,704,584,824,780,
579,091,405,340,036,586,504,512,442,330,086,831,972,745,974,329,768,745,110,
523,198,254,151,709,959,763,905,755,528,267,280,306,448,916,098,638,919,870,
604,228,456,817,961,189,029,965,018,605,153,402,674,716,568,638,834,133,818,
359,893,288,400,334,050,789,840,856,436,504,093,067,636,792,439,358,958,808,
055,967,099,797,080,969,742,337,192,378,784,621,256,301,601,304,822,540,409,
332,995,311,664,767,452,540,253,920,246,138,581,879,745,187,681,276,787,186,
326,955,826,281,701,691,335,487,037,462,827,159,848,038,141,485,877,039,418,
620,212,221,153,308,865,191,104,229,923,686,351,672,114,335,994,889,323,861,
514,387,173,170,882,700,816,935,246,072,691,815,146,944,099,580,301,825,951,
140,444,289,477,850,507,257,910,672,215,370,675,466,265,544,028,526,667,443,
895,311,334,245,091,198,207,518,487,923,323,150,108,835,258,346,502,642,720,
867,733,917,634,646,743,702,444,140,595,795,348,502,006,360,600,163,591,333,
360,040,859,917,833,247,587,880,128,284,398,448,961,848,634,210,578,436,442,
800,808,523,050,054,708,794,068,740,079,772,909,051,952,049,613,647,616,554,
385,504,504,413,820,835,230,770,237,400,654,006,447,781,344,930,605,712,786,
947,928,567,490,225,293,641,438,859,889,298,674,660,555,992,899,086,487,855,
910,292,524,153,236,823,052,158,295,864,922,501,041,247,617,723,583,788,955,
742,096,469,335,313,568,726,768,508,776,792,384,192,980,834,450,941,557,133,
734,025,558,696,767,776,586,779,586,354,579,087,760,434,355,347,127,664,669,
914,845,935,859,675,026,447,384,270,568,943,585,699,940,354,684,370,164,875,
533,021,275,516,424,554,019,168,206,567,917,649,565,316,546,301,424,606,754,
454,571,542,082,988,388,081,578,469,877,843,356,992,681,992,583,590,445,962,
284,218,101,351,732,737,980,576,175,438,074,086,013,216,953,082,984,972,482,
388,619,296,305,183,628,345,706,490,410,692,291,929,006,882,503,379,552,480,
604,524,336,673,062,134,213,789,309,788,466,064,097,837,508,823,639,289,328,
792,502,328,809,003,456,768,414,953,482,641,065,808,112,892,971,249,360,922,
163,191,217,472,715,997,841,596,615,983,609,868,897,727,884,708,706,328,435,
801,350,407,328,687,809,716,321,909,685,437,846,208,791,353,970,489,361,475,
220,778,410,323,916,512,596,265,403,037,642,276,683,870,032,283,215,847,229,
036,225,293,802,655,436,336,660,400,823,966,006,426,523,912,425,921,643,553,
325,935,420,120,973,276,668,997,913,712,469,531,848,399,093,081,750,475,991,
623,705,697,547,423,216,024,441,764,517,915,630,343,391,525,052,902,681,072,
753,407,755,634,754,414,481,382,847,865,874,586,501,219,863,041,650,022,159,
541,581,663,419,353,812,588,641,075,295,802,917,903,095,022,699,987,232,101,
691,267,703,476,775,365,026,565,822,246,772,522,130,996,425,161,251,784,129,
873,456,395,098,984,467,676,512,842,158,449,111,540,817,650,962,069,725,954,
517,199,095,943,707,857,203,888,148,483,445,523,853,818,143,500,393,054,715,
058,559,018,729,292,885,957,732,729,562,630,794,443,234,026,755,124,521,937,
277,994,225,599,342,205,328,389,804,630,395,324,876,798,122,206,521,339,876,
508,072,398,500,164,206,707,439,744,780,293,512,398,132,246,699,052,109,486,
452,549,120,461,616,844,962,384,084,579,893,178,921,027,507,529,640,863,630,
845,661,132,791,256,850,187,868,729,740,101,531,197,826,541,331,971,853,796,
214,406,792,039,844,941,048,856,004,923,856,705,644,113,798,502,300,684,208,
591,570,872,537,832,037,156,077,511,187,376,831,398,603,723,161,637,281,257,
404,287,771,122,093,280,048,419,418,554,432,813,959,288,046,369,519,140,959,
227,327,618,873,326,279,357,785,003,477,122,078,710,832,071,882,925,217,877,
507,927,897,775,023,791,949,797,940,047,115,138,253,784,359,293,975,669,333,
886,607,866,251,677,553,000,648,606,080,250,962,693,268,385,965,791,157,855,
331,423,445,422,672,154,967,117,427,130,521,828,683,829,376,494,416,433,590,
178,650,358,371,765,968,028,994,542,084,341,662,754,398,639,240,371,858,827,
506,665,421,816,478,017,971,340,002,956,446,638,476,877,878,856,374,724,374,
318,325,192,973,185,140,785,797,594,954,627,863,401,658,503,305,650,430,989,
839,621,285,678,822,945,034,976,832,280,554,662,254,946,972,584,589,769,540,
158,381,775,675,442,887,035,368,211,616,090,691,839,098,659,062,394,851,470,
354,498,590,033,685,287,408,395,879,814,066,510,289,851,952,608,624,640,238,
507,525,960,381,341,922,947,569,617,287,291,295,015,318,010,198,521,895,849,
340,139,173,095,198,029,052,979,605,759,702,603,627,054,633,233,081,915,297,
026,536,034,556,296,095,366,323,613,929,076,758,866,006,651,819,343,985,756,
547,635,835,383,325,708,117,510,299,290,189,376,378,489,031,227,996,695,886,
027,909,177,202,057,267,178,511,591,058,005,043,010,779,728,133,921,218,703,
809,247,536,671,669,891,091,697,221,723,111,728,040,107,810,918,453,681,992,
227,292,111,805,085,079,203,823,467,123,397,690,519,368,159,585,444,041,458,
211,994,062,301,018,453,630,142,960,148,017,768,485,150,800,827,462,377,902,
211,360,413,475,029,806,107,138,763,846,268,472,084,735,072,134,898,025,031,
963,569,940,445,690,144,627,800,523,172,441,228,259,349,060,208,828,594,833,
557,571,778,634,442,780,737,474,692,056,979,271,613,491,002,173,739,684,911,
074,775,744,313,731,382,300,277,443,988,963,247,330,658,316,802,615,520,591,
403,790,586,581,129,727,777,662,008,994,385,420,071,093,769,322,021,502,308,
292,925,695,919,557,460,942,816,425,885,355,726,525,426,210,003,759,148,000,
216,299,957,308,873,353,063,703,026,578,166,780,597,581,838,652,863,690,289,
883,509,546,433,004,087,828,880,150,730,283,568,107,973,189,940,589,011,862,
335,537,490,514,179,435,245,881,418,653,757,450,221,077,511,320,716,058,675,
902,581,325,947,790,927,696,106,218,532,252,079,372,254,608,864,244,188,318,
450,181,122,354,266,376,864,380,245,394,170,235,377,476,789,565,880,481,982,
827,380,967,592,314,569,392,394,550,122,633,625,048,235,427,634,710,413,858,
056,178,572,733,746,904,573,306,523,213,033,152,522,371,924,848,557,872,679,
419,596,124,735,853,313,397,943,305,680,359,064,531,809,320,728,285,904,125,
888,691,344,957,476,527,909,547,717,111,721,669,493,547,511,138,247,556,896,
965,735,619,736,298,258,901,184,550,459,243,463,341,485,101,211,438,556,053,
498,292,787,421,511,808,234,874,146,620,812,177,229,587,948,446,416,761,365,
834,960,498,681,587,494,092,042,856,302,394,675,066,379,196,136,105,235,629,
615,339,369,860,510,422,470,106,906,030,904,511,476,171,281,945,224,527,886,
607,881,512,268,043,094,435,023,194,423,583,027,667,101,255,281,655,600,073,
679,208,591,813,789,860,630,524,484,500,250,604,136,098,518,885,357,105,459,
301,674,080,578,490,066,714,129,866,827,131,224,148,342,493,856,227,115,072,
065,632,943,006,415,663,538,884,765,766,525,399,163,856,345,885,690,174,654,
586,012,583,449,806,033,089,691,839,891,374,087,969,107,842,842,998,788,134,
415,648,025,621,916,012,050,235,063,170,471,406,589,975,187,657,205,498,732,
353,239,105,717,619,789,336,145,226,618,393,054,826,854,939,961,872,128,451,
406,293,526,087,495,278,128,518,687,628,908,529,497,709,850,153,612,345,490,
507,272,095,730,509,595,883,444,293,207,632,955,098,794,775,084,427,565,806,
895,887,056,920,905,223,344,688,931,703,681,761,062,836,869,168,357,397,097,
131,626,132,395,882,977,142,343,944,273,852,688,871,196,537,432,862,505,588,
745,393,914,814,734,641,119,600,376,548,952,218,869,144,089,773,042,777,563,
603,159,208,398,131,092,253,221,285,713,734,841,458,176,511,261,742,800,206,
805,615,541,569,820,329,406,826,901,188,604,534,216,165,175,336,815,963,681,
275,281,218,945,128,556,553,786,124,408,035,058,607,870,261,148,881,581,337,
416,713,549,060,370,787,498,212,683,870,516,000,883,868,094,947,256,070,032,
405,893,446,785,373,860,149,597,003,200,413,514,429,844,358,482,778,169,431,
741,461,873,914,878,879,407,831,996,437,262,941,340,809,735,509,660,194,806,
897,215,282,275,946,315,816,497,254,457,393,257,335,924,718,849,364,714,569,
610,128,259,117,817,746,911,605,236,420,081,997,938,187,658,089,137,636,990,
782,526,820,964,159,203,460,744,456,073,341,966,705,210,592,491,400,609,999,
311,487,416,006,234,355,243,441,282,117,452,625,492,461,330,813,894,069,856,
446,819,610,802,887,619,377,700,682,220,625,887,965,721,633,070,364,517,818,
572,182,029,078,000,823,472,235,428,262,862,101,181,838,500,425,366,601,381,
663,994,197,134,147,542,423,996,258,338,388,053,320,745,739,535,627,233,901,
452,134,295,262,050,365,515,663,302,409,803,938,911,642,511,053,976,690,477,
837,425,026,364,031,811,943,765,708,226,406,869,866,181,850,365,328,115,341,
705,994,080,612,192,105,415,654,198,492,271,562,593,847,314,718,669,757,550,
935,297,250,823,179,996,128,227,764,444,435,837,231,194,282,053,251,170,661,
955,286,035,858,632,700,349,741,292,071,696,158,277,868,899,953,298,774,679,
525,887,385,364,078,654,526,785,782,454,130,237,036,428,316,552,446,716,284,
646,657,528,906,494,805,025,934,393,172,937,623,608,054,818,460,200,327,399,
313,651,919,538,007,513,025,491,398,159,905,301,385,758,561,887,615,542,785,
378,133,019,979,380,387,800,281,850,948,021,910,342,530,203,296,553,399,857,
973,332,286,508,711,288,643,155,751,096,025,894,044,236,806,671,744,277,811,
607,480,785,822,065,420,289,024,136,694,076,596,933,635,869,884,461,817,903,
033,692,441,810,953,486,558,300,351,200,872,602,784,896,744,155,621,791,039,
388,542,820,070,789,867,724,808,528,221,891,301,382,698,337,778,091,068,539,
590,852,338,855,041,914,000,745,918,700,351,587,448,405,294,868,667,888,512,
491,887,994,754,193,113,949,386,234,707,497,480,284,440,631,106,839,206,549,
477,333,362,211,951,750,246,675,669,562,801,916,273,492,788,842,802,210,973,
586,145,165,078,031,748,662,584,046,106,977,518,817,329,105,365,015,316,036,
339,012,380,759,329,088,416,281,770,241,010,874,519,641,809,246,821,930,351,
329,740,239,246,564,560,562,957,837,115,914,127,470,831,352,777,264,666,094,
012,081,607,847,696,404,053,527,207,315,763,921,888,917,754,105,461,561,278,
261,105,479,678,449,106,987,701,318,016,291,928,920,619,028,538,626,871,888,
553,845,541,264,333,820,621,604,081,328,263,649,255,171,484,926,427,131,374,
750,550,170,870,180,761,973,459,073,288,510,092,110,469,672,082,961,321,845,
083,054,142,266,024,916,530,152,571,433,785,745,515,425,723,601,407,686,321,
512,979,702,896,788,109,201,797,189,777,303,976,895,696,643,132,550,609,492,
180,581,520,634,573,436,691,565,115,884,278,134,259,534,107,750,537,162,307,
409,890,876,532,163,707,711,135,815,150,868,136,535,802,478,685,103,978,142,
499,338,311,417,524,507,956,837,026,627,609,263,030,385,294,959,303,773,498,
452,783,342,527,003,657,182,090,824,762,088,684,781,497,754,358,976,019,391,
370,931,316,474,137,396,893,636,428,725,047,887,063,578,911,015,251,349,720,
586,842,113,225,231,433,762,081,558,703,281,655,541,660,007,536,030,841,641,
036,235,526,426,726,268,208,354,083,888,286,551,896,538,246,682,032,070,681,
879,311,955,487,548,078,104,965,968,250,302,385,739,303,549,041,367,671,569,
942,927,868,454,794,873,721,589,079,537,725,844,517,914,536,689,930,819,269,
205,717,981,858,292,477,927,432,029,844,944,687,108,633,713,748,762,847,172,
495,735,555,508,493,639,090,971,358,623,840,372,777,887,309,802,531,482,513,
091,211,852,142,251,745,826,446,142,550,691,215,412,935,895,013,281,022,672,
076,222,744,731,182,104,954,730,955,749,009,241,078,514,973,128,078,597,885,
870,320,440,451,764,575,216,156,033,840,378,246,076,554,765,469,630,190,534,
635,400,947,947,058,847,444,887,178,892,062,512,448,450,684,187,985,643,413,
555,201,945,795,501,519,076,706,303,164,614,993,537,524,245,686,020,787,804,
628,284,061,668,666,932,050,834,873,583,858,347,145,827,845,459,237,769,843,
028,698,234,841,317,202,019,360,234,654,891,513,452,397,971,575,231,096,473,
113,435,478,257,642,445,018,934,873,774,788,127,058,811,512,623,668,501,665,
217,539,299,015,674,666,239,252,637,646,312,341,651,247,234,347,907,884,081,
139,485,173,029,173,889,228,361,967,723,989,326,368,884,529,510,847,641,673,
523,855,862,287,805,098,959,386,642,213,050,842,829,504,919,952,405,105,163,
551,222,780,498,389,490,624,203,838,054,716,426,574,691,409,325,010,965,521,
450,850,916,280,921,005,461,746,208,477,006,397,297,354,986,485,717,747,943,
716,094,584,030,880,132,484,583,917,913,871,404,589,935,182,385,261,097,862,
618,069,668,550,463,401,261,396,062,884,152,067,468,742,082,255,520,575,112,
490,386,716,178,499,899,478,678,546,766,512,263,781,373,200,009,658,894,464,
716,403,403,372,366,610,280,987,834,552,344,581,897,775,956,220,586,592,332,
609,094,173,251,182,030,966,368,323,829,216,601,951,610,494,818,923,315,203,
509,727,379,821,471,080,139,018,141,611,706,428,747,742,732,479,738,585,213,
037,962,605,024,257,808,397,369,359,532,547,009,243,188,779,958,062,138,137,
966,565,303,847,638,934,705,295,839,944,811,941,037,642,044,066,291,266,460,
703,443,488,660,358,848,850,682,689,255,223,261,804,676,766,459,933,485,299,
893,851,739,319,020,283,615,146,166,333,667,521,240,625,948,623,189,638,019,
049,256,178,894,408,516,976,845,820,697,443,469,341,844,213,349,292,841,290,
078,982,521,413,560,932,786,731,115,139,850,009,407,401,740,219,398,932,723,
047,831,548,027,651,621,094,921,585,426,568,269,856,147,996,957,256,074,364,
601,021,618,825,461,489,412,060,910,507,755,651,115,415,775,647,513,209,552,
544,293,961,188,240,347,330,485,671,825,608,170,138,649,664,621,731,490,563,
262,610,258,742,067,525,661,299,920,095,222,828,593,594,908,223,955,335,598,
076,607,877,723,338,994,348,226,908,576,979,720,700,325,846,949,205,372,829,
726,540,310,917,900,655,954,577,453,661,060,314,452,453,858,398,535,841,100,
361,325,742,251,978,773,447,389,614,005,670,181,365,945,589,506,705,671,661,
324,895,834,677,104,469,031,901,224,706,592,780,477,990,978,559,067,569,803,
284,100,907,620,871,124,277,884,015,882,047,128,338,729,846,656,914,811,658,
595,692,974,003,056,856,821,624,144,021,208,523,365,394,203,431,356,068,131,
282,921,211,426,046,946,169,754,414,406,141,668,135,418,593,864,452,280,407,
300,536,504,166,849,355,185,194,437,120,133,828,370,184,471,645,428,079,152,
808,893,780,153,934,428,346,732,945,730,037,490,797,346,717,025,720,773,939,
085,283,394,843,868,160,234,154,535,327,761,715,738,107,429,343,645,268,126,
071,186,005,460,056,933,200,619,012,268,301,126,903,557,581,100,672,184,976,
311,574,315,248,973,563,881,438,497,448,035,052,515,887,520,054,119,750,963,
833,498,003,331,340,668,143,990,559,367,738,952,536,557,846,533,829,473,216,
239,213,090,303,208,439,303,117,480,515,678,615,346,413,527,016,629,009,322,
623,149,169,332,750,190,239,205,597,421,295,080,259,939,317,819,384,299,109,
166,927,343,537,653,947,344,483,014,849,923,287,709,710,118,085,194,664,093,
495,040,509,282,206,396,767,363,298,310,191,381,285,434,664,487,820,102,447,
326,620,763,445,473,838,405,930,795,258,943,725,742,783,350,908,634,105,275,
435,111,359,019,838,696,627,806,205,291,803,440,486,258,995,645,905,945,569,
943,989,115,914,032,969,970,614,752,644,592,152,989,145,486,668,283,161,841,
647,339,013,672,440,654,339,699,205,429,168,767,746,157,664,041,552,112,561,
313,631,461,841,574,333,858,401,829,552,038,322,804,776,210,438,675,666,027,
146,124,800,219,902,284,149,009,031,613,661,412,112,077,662,786,541,703,082,
768,174,460,308,306,957,642,835,735,614,959,821,530,639,513,680,462,964,149,
232,587,124,460,277,950,781,101,521,914,220,736,986,056,716,074,752,657,602,
505,106,614,100,045,398,045,260,996,470,549,664,159,062,722,978,022,456,521,
205,931,150,255,312,856,035,874,609,239,191,578,152,422,910,423,961,169,324,
451,270,646,568,023,160,677,703,347,837,448,422,233,126,819,973,694,864,907,
036,122,442,301,319,184,658,219,436,028,915,493,793,474,218,579,869,880,166,
032,486,430,323,737,161,791,811,364,587,544,785,849,124,234,909,607,672,196,
948,925,228,217,250,007,517,659,659,148,562,666,052,973,089,690,722,174,341,
177,240,800,441,764,932,700,457,219,214,375,583,193,390,701,301,774,557,281,
707,069,409,834,953,065,071,483,700,359,640,290,876,736,139,820,802,458,324,
358,508,285,274,006,409,566,097,737,164,700,278,270,992,754,235,608,053,628,
173,211,811,090,869,142,697,840,658,009,055,192,651,037,865,979,768,985,220,
223,295,050,353,034,202,639,833,846,830,789,775,931,590,692,826,144,886,842,
884,820,917,637,521,630,240,204,556,218,873,105,300,184,247,232,090,444,732,
171,206,967,208,262,665,940,127,908,071,743,821,907,934,250,987,088,403,169,
185,101,486,063,846,981,386,565,867,133,366,471,534,637,868,340,934,992,689,
235,719,854,573,632,077,319,895,928,128,922,896,909,694,856,446,583,053,859,
756,755,047,978,775,118,098,687,248,061,903,805,651,487,980,064,282,471,257,
394,186,231,799,392,919,038,845,032,279,539,752,031,045,772,095,355,325,501,
926,555,637,936,329,403,819,635,350,562,272,959,295,820,647,995,946,076,201,
621,760,842,683,256,293,026,500,248,769,869,670,368,527,414,861,919,588,681,
024,792,604,105,719,449,779,411,644,570,729,390,482,965,516,556,657,797,988,
958,090,319,021,400,189,024,742,461,885,402,033,393,286,585,835,804,240,103,
043,251,417,279,098,147,350,507,183,505,941,113,611,749,324,524,202,197,868,
864,024,427,003,912,648,992,105,164,331,755,262,647,891,273,065,330,564,316,
398,535,027,222,088,188,502,410,018,568,801,170,567,781,445,066,655,196,854,
320,039,227,542,999,330,325,257,204,577,427,206,351,386,224,298,918,899,565,
521,899,934,056,842,546,673,486,520,673,885,456,683,477,817,908,946,748,266,
545,419,309,910,513,121,280,468,556,990,000,890,955,403,018,802,130,374,235,
791,509,458,807,569,146,645,381,979,580,745,360,407,846,950,827,246,275,644,
584,596,900,902,103,366,923,369,570,775,471,741,262,415,483,927,676,474,911,
438,473,869,384,355,087,857,032,094,809,684,183,306,531,395,792,735,294,299,
951,462,396,120,428,700,039,362,729,812,368,573,883,810,254,891,301,378,084,
783,454,329,074,879,716,079,041,950,224,487,018,446,992,574,685,489,138,573,
979,129,167,163,015,423,054,639,296,652,156,696,119,511,389,685,415,120,908,
598,862,696,023,260,002,539,671,859,731,493,435,075,289,225,937,972,920,035,
577,449,587,534,938,663,609,464,333,923,261,610,778,022,990,745,734,897,253,
324,899,546,269,144,648,804,633,827,440,633,399,536,910,970,704,065,739,806,
768,622,092,036,819,833,459,803,752,544,482,842,129,330,993,477,985,154,309,
905,630,447,441,767,046,932,597,307,417,640,939,538,512,805,087,390,050,772,
107,278,687,444,562,020,309,673,582,174,036,357,010,871,179,896,746,146,668,
803,456,917,569,407,205,440,279,259,857,766,244,979,200,841,840,970,423,019,
284,792,851,498,718,584,559,962,123,445,062,401,631,236,621,441,610,639,238,
536,009,874,934,069,007,394,674,222,259,575,855,244,389,456,167,304,992,332,
598,021,774,163,986,046,694,625,384,780,296,915,931,446,094,213,851,402,779,
634,190,394,777,034,383,975,124,181,218,463,622,773,254,931,042,097,486,882,
114,261,558,432,008,898,475,718,195,855,227,417,538,629,906,799,907,646,741,
136,968,859,725,698,047,513,657,069,195,457,979,432,626,114,036,211,020,153,
623,825,962,374,828,993,266,439,925,585,093,100,563,756,657,783,680,805,800,
252,225,390,909,609,659,299,393,817,327,212,195,132,297,304,906,868,737,526,
947,742,512,913,721,436,711,962,968,614,282,962,955,824,476,897,379,543,609,
545,331,638,343,829,836,420,861,419,521,109,254,878,676,428,526,738,992,311,
745,704,730,495,603,134,062,005,392,827,478,383,719,871,072,049,502,948,829,
685,629,843,853,887,075,962,296,408,987,833,381,992,005,803,679,990,633,642,
597,749,400,170,965,877,070,740,577,085,077,069,066,789,829,516,175,303,695,
894,336,302,652,087,926,802,066,222,757,768,193,361,383,704,580,931,883,456,
342,211,540,016,966,030,912,521,379,976,256,295,560,845,987,367,548,894,512,
714,530,032,535,745,985,110,493,233,958,461,200,879,966,737,706,516,067,427,
137,464,482,303,337,037,802,088,559,144,827,935,024,514,488,558,495,290,830,
463,635,115,837,065,316,395,504,791,473,251,327,851,757,852,675,309,936,853,
146,859,661,977,122,262,296,286,057,222,846,866,272,124,009,220,930,462,491,
357,757,881,131,242,416,584,096,596,746,789,666,856,363,518,591,065,313,617,
781,127,754,276,751,369,851,851,133,558,242,694,934,153,554,169,481,453,954,
809,354,608,854,120,420,741,997,531,382,949,713,013,668,164,901,814,625,909,
270,469,725,583,213,581,518,949,344,813,648,908,511,359,082,030,834,954,619,
190,678,793,533,571,375,313,090,355,283,128,477,105,488,175,764,499,317,072,
344,191,320,381,801,553,624,239,669,698,441,726,143,934,812,487,577,681,305,
107,889,330,195,681,076,898,212,776,109,728,520,364,757,957,506,555,923,932,
745,826,675,138,399,895,851,021,734,912,467,953,042,388,604,648,028,333,111,
719,128,497,269,095,152,646,006,119,656,159,829,826,306,973,491,241,879,714,
864,266,805,462,548,846,448,327,919,329,518,850,593,104,517,245,554,851,223,
932,745,809,870,739,675,539,990,719,242,264,869,339,661,014,697,743,236,997,
891,812,970,108,874,996,886,492,569,574,753,930,101,944,618,155,488,106,743,
631,121,781,514,548,228,842,829,664,483,097,056,082,354,738,209,817,352,069,
970,803,621,365,518,898,023,553,358,138,155,084,544,294,545,344,615,421,657,
672,108,546,067,661,987,271,332,082,861,674,096,269,040,725,082,460,614,362,
055,619,613,512,876,706,313,645,968,081,002,917,018,646,450,955,531,868,482,
560,418,843,028,501,065,821,590,400,599,748,295,368,292,229,049,577,469,122,
261,700,555,371,828,120,119,656,404,730,008,152,379,334,003,412,819,823,258,
102,315,002,269,529,286,142,134,072,897,906,790,697,257,604,587,606,393,825,
329,927,963,984,437,054,709,192,061,700,544,958,171,024,315,844,016,085,229,
469,462,973,225,668,588,286,525,416,770,219,175,566,066,612,306,170,271,433,
347,381,421,494,095,614,905,090,515,530,197,241,650,505,795,254,008,812,454,
034,607,359,512,521,835,744,650,332,070,162,218,484,058,234,863,618,535,081,
543,594,347,536,049,011,315,576,298,320,385,450,516,537,694,663,020,904,371,
601,434,516,196,067,663,841,349,338,131,545,588,954,154,569,296,926,934,207,
925,047,853,277,365,613,212,523,079,488,562,578,041,214,480,227,321,607,813,
468,384,560,242,680,710,708,309,034,142,799,030,541,627,933,236,390,287,268,
756,466,422,796,971,133,703,977,309,465,492,540,405,019,117,016,126,061,742,
833,160,706,772,381,291,445,373,696,422,372,741,168,242,077,976,159,816,947,
414,321,474,679,573,557,030,843,189,873,457,906,708,027,140,944,425,452,311,
948,780,451,912,194,558,396,681,434,310,094,037,279,663,145,486,085,130,501,
709,412,532,437,056,037,781,022,957,973,743,217,133,403,156,302,425,376,490,
084,095,585,471,680,898,562,571,774,318,139,707,964,994,817,857,009,939,006,
404,774,374,636,236,042,254,461,626,254,080,684,954,122,595,080,548,302,120,
145,459,416,351,879,679,903,925,711,644,996,583,982,649,528,807,189,903,998,
640,214,900,333,195,021,602,909,741,631,009,088,212,729,751,073,598,113,287,
272,011,449,351,995,710,341,390,055,434,358,556,835,204,255,851,478,604,308,
713,255,459,150,797,401,515,139,047,218,838,863,833,201,715,091,317,026,952,
935,409,373,235,920,882,405,775,393,455,801,923,913,552,065,154,514,042,222,
927,423,556,997,046,975,731,693,502,804,636,153,423,055,982,143,111,986,665,
540,402,456,720,841,789,612,795,843,138,158,378,654,605,866,745,116,077,445,
573,585,047,041,092,333,762,340,241,851,680,968,020,117,608,298,857,658,367,
345,398,119,542,422,167,978,465,690,707,190,283,507,694,530,777,317,850,611,
865,048,339,084,822,414,002,166,744,669,564,443,642,718,624,655,748,445,124,
212,581,255,279,456,578,646,318,031,773,961,867,727,333,131,471,352,519,389,
186,057,433,369,873,893,666,644,741,518,034,131,577,968,848,803,862,410,753,
600,683,259,277,711,996,185,881,797,802,595,400,900,014,123,429,591,160,969,
318,422,577,615,840,213,541,021,373,725,009,803,035,519,150,001,382,672,835,
804,379,570,389,141,264,920,564,800,545,117,027,049,854,566,686,200,383,573,
735,260,336,552,621,294,891,413,995,773,511,635,971,024,996,916,103,903,594,
969,303,019,691,952,372,083,290,797,443,637,026,867,374,693,501,349,556,361,
526,334,709,614,150,344,963,775,050,978,249,387,183,421,139,359,191,618,301,
528,218,646,576,786,858,193,683,817,848,951,554,336,294,927,015,600,097,253,
246,485,689,271,417,411,412,951,177,525,913,350,498,083,102,264,926,202,781,
621,240,975,545,827,222,622,326,649,663,391,070,678,918,190,327,624,788,794,
973,303,914,607,957,743,800,187,405,800,171,044,100,175,896,348,096,717,721,
859,437,001,477,729,174,251,621,689,319,861,820,003,010,770,672,946,369,699,
629,662,960,661,083,612,758,787,969,308,896,914,301,073,076,749,184,165,257,
228,110,568,740,103,708,354,280,161,546,150,478,118,084,360,344,594,467,975,
732,361,227,136,435,960,108,804,341,286,947,003,583,438,901,581,485,977,203,
604,964,099,899,721,961,204,502,444,410,614,008,551,447,340,550,348,816,095,
549,237,439,263,989,595,170,061,804,084,458,889,327,815,648,866,834,016,454,
167,973,772,329,868,107,062,536,632,976,279,814,235,282,311,701,471,708,985,
197,633,346,410,304,068,747,468,856,629,042,480,338,824,360,709,407,039,139,
864,681,051,663,038,788,779,964,613,696,071,997,527,463,755,513,487,111,088,
078,354,596,099,858,318,968,877,846,744,258,841,267,888,027,786,271,977,322,
808,175,488,328,334,663,294,295,901,899,660,948,427,723,332,398,176,848,604,
934,424,004,465,193,096,291,639,176,773,159,577,433,460,573,268,851,218,522,
870,654,888,225,189,309,633,544,266,363,535,279,234,630,484,453,007,850,671,
534,288,732,227,118,471,610,509,448,563,791,321,098,438,846,417,002,060,476,
740,041,628,930,500,320,006,816,977,628,995,908,730,456,836,968,183,316,188,
057,243,209,594,728,473,503,202,392,911,154,924,266,705,399,754,207,244,469,
400,170,133,102,609,998,718,688,305,072,938,455,808,505,275,723,184,571,512,
442,027,222,417,463,230,319,531,510,655,674,495,508,864,738,095,438,158,938,
674,807,836,013,800,833,894,414,365,383,388,316,533,440,938,329,134,836,917,
866,296,088,463,009,797,087,884,562,348,958,957,331,381,597,546,477,995,800,
436,303,558,741,982,268,979,410,450,457,225,283,769,673,982,655,494,603,464,
051,925,507,601,058,682,264,724,788,156,556,491,084,880,532,192,671,098,138,
947,407,523,123,924,767,997,063,069,351,149,102,073,038,384,559,507,708,205,
681,935,713,785,717,245,125,430,395,306,197,844,490,332,400,558,683,229,031,
978,336,119,007,645,488,886,623,922,928,698,949,178,896,685,723,125,694,766,
487,841,897,874,429,540,674,047,483,389,628,307,481,770,470,542,848,142,579,
368,684,523,206,766,731,586,667,246,869,624,566,573,169,518,679,737,251,492,
860,273,223,676,729,762,710,007,350,939,866,606,920,300,535,673,765,337,404,
862,993,775,656,106,810,022,686,015,451,735,181,924,269,591,380,745,831,067,
522,045,336,930,869,005,522,063,823,829,576,909,759,462,160,167,909,970,298,
209,709,436,593,037,489,449,552,525,553,029,302,679,781,223,297,543,915,308,
120,654,953,410,975,616,348,156,858,841,812,086,433,009,590,088,950,027,627,
793,700,910,536,108,925,182,957,215,517,773,846,014,208,670,930,061,203,321,
928,012,342,121,526,377,801,101,298,366,020,297,405,496,095,343,618,455,877,
017,838,763,061,956,356,238,939,683,913,639,994,651,734,421,721,030,985,861,
583,624,395,124,937,341,044,989,929,793,913,043,107,589,029,541,990,988,143,
158,289,308,826,386,907,438,640,132,754,514,444,209,432,478,029,501,934,318,
721,027,740,938,501,792,632,305,373,226,101,500,147,072,009,243,135,999,515,
301,797,028,385,551,131,536,224,120,769,190,132,170,456,499,008,978,897,005,
924,442,964,111,870,207,659,502,245,051,328,759,146,471,454,114,510,988,354,
240,473,853,990,203,199,749,709,981,005,026,964,284,028,760,455,428,259,584,
643,204,535,866,399,902,274,889,211,978,178,537,576,119,079,271,492,148,286,
864,042,230,563,983,537,319,773,330,610,737,137,288,967,957,996,581,490,260,
543,446,225,251,570,327,034,624,072,967,952,166,974,317,390,293,011,872,934,
182,628,722,521,641,434,518,119,190,978,130,236,498,638,736,328,848,004,247,
934,658,072,915,803,053,095,416,098,656,791,407,805,017,464,258,065,050,386,
998,521,263,893,820,830,805,123,438,590,566,736,789,305,654,822,292,207,212,
388,038,986,244,527,439,678,150,224,006,996,624,905,852,118,769,440,823,755,
797,996,028,130,360,766,980,809,732,096,778,869,094,774,387,031,770,210,139,
097,825,345,041,272,045,209,231,167,032,294,520,843,168,709,933,893,468,219,
118,222,916,231,289,903,442,715,347,217,257,418,650,148,753,208,484,456,414,
560,322,391,746,980,344,404,112,841,262,569,422,068,869,213,702,316,592,159,
266,759,945,432,704,590,908,346,336,537,328,596,901,138,515,202,233,905,487,
240,376,500,493,756,379,595,418,569,846,576,115,334,871,318,569,990,360,866,
845,558,578,811,684,062,781,430,280,775,821,594,617,991,758,711,326,567,912,
452,904,298,777,631,704,010,854,144,511,052,747,823,239,322,390,653,257,794,
284,310,262,855,295,089,984,961,524,774,112,598,499,552,365,044,902,543,870,
140,275,452,981,740,400,949,739,328,366,109,024,554,236,391,333,071,448,860,
262,619,270,852,428,134,018,410,640,864,171,994,183,890,031,429,096,353,379,
747,937,662,288,940,500,763,869,488,988,328,372,402,347,429,489,552,876,181,
425,939,812,160,211,360,627,311,527,142,843,765,078,102,613,190,795,151,644,
523,013,578,695,443,370,735,120,056,681,777,357,755,520,544,607,167,019,438,
643,392,206,563,528,961,285,689,649,948,286,786,002,285,273,692,061,966,089,
937,816,938,372,622,202,913,924,734,459,127,009,169,485,365,128,669,368,663,
197,325,509,192,201,264,258,217,108,325,788,366,192,661,041,069,655,280,278,
818,386,964,376,112,927,287,948,673,760,812,461,833,520,979,415,917,841,355,
210,923,296,551,559,575,635,774,036,674,018,643,264,426,918,399,382,064,943,
896,911,201,500,570,829,725,428,717,346,312,893,367,004,613,461,672,635,997,
550,266,471,516,513,017,002,586,478,823,124,050,623,508,138,285,092,844,291,
232,195,553,190,614,739,276,904,711,495,459,885,486,646,914,012,174,561,247,
519,404,061,583,183,152,934,662,121,052,938,349,923,029,784,919,896,691,148,
432,223,089,962,255,298,509,296,392,657,141,221,367,804,998,116,171,911,560,
571,981,494,569,468,541,912,931,784,920,795,994,691,298,102,381,434,991,793,
614,453,541,220,942,811,220,714,885,263,085,338,787,309,458,149,252,333,398,
821,207,603,261,809,943,787,878,829,020,258,519,130,132,275,363,691,617,052,
273,615,425,652,984,859,175,334,582,243,120,634,418,173,534,616,054,012,535,
866,902,416,249,320,003,007,407,094,147,400,497,638,358,969,253,022,274,298,
078,552,815,902,356,999,866,340,300,064,919,982,420,668,439,808,868,555,382,
915,987,292,002,426,123,799,752,008,352,029,957,381,768,902,220,119,558,383,
020,315,212,128,171,021,590,835,918,208,246,092,155,732,534,993,107,934,527,
848,144,588,342,193,199,004,106,480,938,818,153,904,371,817,254,897,895,571,
448,929,618,572,794,465,684,844,907,615,146,483,670,969,434,328,222,838,980,
266,115,209,186,568,824,419,948,648,118,895,236,436,828,357,798,028,514,172,
402,213,080,278,317,301,852,801,683,262,851,543,394,423,535,278,973,966,540,
384,079,989,737,788,475,672,122,257,307,501,943,774,534,467,555,781,129,016,
641,924,768,026,321,019,423,188,248,406,736,191,022,891,403,381,638,855,626,
043,282,643,677,467,986,851,232,437,034,742,917,761,737,446,997,231,557,615,
619,786,363,182,305,003,938,530,170,471,957,276,653,411,002,979,945,930,638,
370,792,602,697,295,915,744,387,871,595,151,594,938,398,685,643,549,246,421,
261,395,813,383,470,404,336,695,027,670,259,519,885,692,871,040,171,598,857,
452,631,894,458,140,697,940,284,845,316,487,896,019,394,394,908,452,424,653,
114,496,846,046,963,707,071,883,017,462,408,269,540,722,986,101,224,328,319,
793,056,151,572,996,079,696,227,418,246,898,093,026,206,291,540,913,806,260,
835,029,736,565,127,497,840,069,081,821,699,683,696,406,460,011,473,311,706,
516,373,506,705,337,653,247,041,531,081,384,733,287,815,646,129,900,598,122,
807,715,794,813,189,699,033,411,360,231,454,954,426,088,287,137,894,767,829,
201,656,382,136,356,996,381,549,428,421,466,197,893,967,792,672,451,980,067,
501,434,693,026,712,405,882,791,356,957,760,169,807,224,581,238,545,102,313,
569,596,489,565,692,989,750,220,627,699,438,448,058,822,061,316,911,056,844,
498,291,410,568,087,613,431,137,861,979,992,950,880,954,957,286,752,472,261,
310,198,893,092,108,620,947,795,946,633,111,610,013,085,130,827,804,343,899,
013,786,470,659,187,982,882,745,779,968,298,969,087,822,172,134,730,652,207,
917,833,731,581,765,785,866,935,670,238,870,318,088,599,333,101,979,153,488,
294,041,349,620,502,148,145,555,911,919,588,264,681,881,152,837,059,388,780,
714,962,651,818,149,795,881,174,079,497,942,523,530,158,508,421,375,784,583,
020,542,432,121,046,085,724,588,585,472,256,393,947,983,689,530,348,267,875,
878,311,103,504,347,338,423,690,484,413,634,098,515,882,893,334,632,859,837,
841,151,378,570,515,036,873,339,757,632,861,271,431,280,960,714,557,033,625,
172,644,035,395,342,565,530,769,008,651,081,235,297,906,292,251,915,486,824,
115,337,245,105,132,555,534,077,367,072,649,957,826,891,065,811,836,944,703,
596,610,747,656,364,649,481,697,288,800,431,961,595,180,014,608,500,662,489,
166,571,390,963,740,312,742,204,448,212,874,565,083,191,127,327,044,109,169,
567,733,951,645,539,520,479,970,897,335,711,525,169,069,430,870,769,068,349,
603,981,722,566,942,804,342,486,734,272,596,709,983,829,666,659,382,627,173,
145,605,846,231,430,523,036,386,762,918,746,599,429,912,187,361,726,381,044,
811,644,240,747,207,571,470,673,682,059,696,610,093,530,949,018,730,117,832,
913,800,031,489,792,716,079,774,795,918,075,074,601,093,626,505,257,860,184,
577,944,083,288,644,259,471,697,183,266,562,677,858,989,729,852,785,375,376,
339,119,159,040,017,871,797,547,967,672,941,394,645,209,626,583,373,182,819,
931,632,269,473,273,937,356,090,525,631,826,985,315,391,474,554,873,548,428,
658,093,540,259,097,322,742,695,619,717,471,438,278,508,713,448,789,379,561,
049,720,984,953,187,083,779,191,432,874,811,385,660,807,233,155,916,688,765,
879,604,238,948,520,826,387,842,563,858,913,923,013,251,407,232,708,027,859,
439,917,973,644,168,538,959,499,684,182,633,240,240,817,456,298,434,422,775,
415,852,031,082,142,863,811,506,013,699,539,353,733,494,404,135,474,266,359,
247,782,610,793,838,400,213,470,386,622,367,430,196,856,463,385,786,764,114,
572,197,803,579,353,912,127,931,548,326,465,621,428,313,889,777,938,998,259,
854,879,628,883,224,324,649,484,707,106,195,972,362,578,961,223,175,582,089,
403,893,472,204,486,056,024,265,033,250,850,538,665,146,987,113,830,728,384,
062,398,011,389,712,467,459,890,765,201,235,942,463,956,953,113,873,926,834,
753,283,276,552,871,565,129,660,183,602,672,326,067,900,491,912,964,121,891,
763,945,785,944,901,816,445,883,920,639,593,839,194,726,092,840,029,291,728,
553,484,078,919,378,110,636,353,834,918,172,667,486,446,310,500,501,541,490,
507,747,893,501,956,147,896,618,815,742,015,866,511,544,805,768,370,921,836,
657,980,947,742,126,609,726,403,115,244,308,582,479,920,059,427,979,468,369,
436,297,470,012,156,461,498,433,862,621,919,351,844,117,216,430,999,718,113,
475,663,004,974,793,997,383,574,586,884,466,996,189,772,959,639,008,451,754,
351,363,388,858,910,660,097,535,033,935,268,099,751,234,336,645,415,950,652,
445,578,197,411,044,793,655,715,084,575,267,111,132,563,214,824,966,574,172,
806,029,005,105,233,078,070,295,283,035,394,666,261,518,399,685,424,198,651,
175,392,681,740,185,321,735,108,172,822,993,827,802,109,030,170,570,887,107,
250,622,340,637,484,161,662,104,376,669,490,970,954,255,081,388,642,718,075,
019,400,910,975,714,592,716,147,628,592,640,483,353,863,629,075,358,385,098,
189,046,952,966,760,477,575,470,555,567,844,769,962,936,909,976,589,667,933,
174,637,882,055,048,843,922,623,223,254,606,657,136,564,247,827,626,233,320,
546,014,661,546,856,656,729,010,038,751,054,054,128,095,467,038,927,048,389,
151,686,711,501,537,378,841,335,540,628,769,121,401,957,755,388,987,767,756,
851,511,049,181,317,091,359,543,722,177,998,924,060,917,280,877,737,593,006,
227,054,235,031,662,736,684,511,632,846,078,364,282,169,056,346,544,133,665,
743,056,684,329,609,900,344,783,797,670,637,683,953,390,366,720,039,731,830,
568,250,882,621,201,977,547,443,651,020,807,268,376,353,895,668,268,079,432,
081,025,186,624,240,967,483,970,019,128,016,548,797,729,556,396,084,494,161,
540,393,961,338,309,899,352,024,228,533,154,160,376,265,779,592,177,423,428,
164,538,803,801,001,403,320,505,949,037,884,467,181,660,299,852,711,277,013,
678,783,491,897,014,683,024,758,449,852,394,664,239,377,996,733,509,938,714,
546,545,916,392,466,075,672,644,127,743,631,940,492,202,033,671,784,124,456,
441,681,121,896,671,985,123,253,811,138,794,649,336,676,058,300,346,802,171,
504,131,420,933,560,546,901,915,444,912,945,750,842,185,752,555,657,421,979,
312,309,400,069,677,311,062,759,084,276,289,840,009,790,638,533,062,592,939,
449,671,425,603,963,547,479,165,453,660,487,393,891,361,426,455,881,300,933,
694,762,265,732,093,478,463,245,759,765,615,130,601,868,245,950,144,284,389,
448,542,889,475,682,532,156,644,387,450,085,801,388,818,195,891,132,672,724,
130,943,884,295,394,668,290,507,469,866,041,911,499,795,472,515,407,657,778,
008,532,851,955,469,263,382,473,699,023,758,273,538,511,366,794,871,454,725,
665,524,127,562,696,294,275,291,352,658,718,330,508,037,408,776,733,391,583,
249,120,817,333,660,464,162,313,869,739,173,107,231,599,730,685,068,809,224,
837,982,158,745,653,647,232,492,908,358,934,527,374,315,196,799,081,545,774,
738,380,706,010,472,121,352,418,373,115,664,226,604,082,522,497,613,913,456,
735,767,503,934,162,882,515,373,938,733,507,520,934,735,026,375,976,259,489,
936,262,926,186,778,839,866,826,114,453,025,324,623,992,271,181,572,420,249,
391,719,302,436,523,536,679,386,529,071,984,676,300,655,862,946,516,581,454,
107,255,833,492,169,572,073,515,915,834,991,201,778,225,523,640,470,408,166,
815,856,736,730,488,823,072,756,749,300,315,153,211,431,090,024,381,535,773,
546,767,595,327,638,501,702,151,863,344,139,051,034,124,669,116,533,009,883,
814,094,593,691,418,277,508,234,612,369,745,403,125,108,914,508,244,647,451,
460,367,651,460,745,608,575,656,769,450,470,152,607,639,213,203,009,051,053,
769,766,982,022,570,209,441,645,277,926,922,222,774,617,423,183,758,218,620,
543,767,893,477,647,621,281,740,389,608,540,409,824,453,141,760,130,856,677,
409,825,732,133,092,172,666,657,730,252,469,944,118,316,263,732,770,771,760,
445,224,086,921,962,507,662,601,013,925,455,349,366,693,945,134,138,533,623,
494,925,493,698,722,966,631,450,074,906,707,130,377,633,664,101,645,883,090,
977,540,034,135,215,645,761,625,281,774,261,855,357,987,230,107,763,290,984,
900,285,987,750,415,517,054,543,671,342,692,910,851,113,892,238,302,483,534,
369,271,809,499,490,709,212,615,495,626,383,808,303,857,113,676,038,834,989,
119,278,967,795,039,835,711,640,521,959,459,331,443,984,497,390,722,966,743,
534,521,989,099,890,441,605,468,103,018,964,575,098,955,926,602,862,999,718,
908,705,002,119,402,642,609,558,667,323,813,134,646,429,215,904,510,348,206,
723,392,702,484,332,468,239,042,179,239,405,909,867,555,525,671,678,488,302,
629,565,722,714,926,949,830,303,856,914,295,859,923,325,209,774,295,328,579,
485,479,401,353,621,292,159,314,659,941,022,210,814,968,317,044,865,803,704,
038,226,204,191,882,504,263,724,370,084,472,173,848,148,240,488,467,447,682,
143,623,117,245,874,592,166,714,500,832,252,971,409,322,280,648,272,798,722,
957,827,248,432,873,008,812,903,270,809,088,083,635,316,476,624,132,741,933,
310,375,572,828,649,294,578,278,646,562,925,233,529,116,550,673,469,622,306,
500,822,838,256,070,961,984,010,027,842,123,999,463,839,887,654,866,107,255,
536,639,039,963,865,417,760,736,317,409,179,902,621,780,750,701,636,805,502,
122,765,004,881,307,488,129,430,194,351,101,791,886,185,254,243,206,964,841,
454,561,326,143,173,222,664,167,120,809,796,871,906,944,743,477,653,463,887,
260,127,089,064,576,919,299,136,501,173,538,366,943,582,933,990,295,641,122,
053,205,966,657,406,905,884,588,719,590,832,533,081,280,871,014,618,941,415,
407,264,423,968,287,839,333,251,419,088,258,083,391,891,529,200,374,039,267,
308,504,106,148,000,997,653,075,344,159,597,955,826,299,009,795,661,079,688,
590,611,461,102,324,044,915,710,774,432,717,958,922,880,329,612,994,785,889,
619,586,831,352,979,799,072,305,176,062,402,750,534,894,752,571,736,209,590,
569,041,707,138,805,861,664,322,422,507,957,899,939,517,618,606,886,932,725,
855,196,896,207,034,329,049,530,947,277,929,544,898,606,044,040,568,141,488,
873,156,047,631,129,227,442,996,366,261,112,281,128,302,350,845,688,995,669,
503,787,250,845,063,706,122,918,863,614,926,160,188,213,292,391,291,959,806,
296,527,781,878,910,862,577,096,256,152,251,754,796,011,829,652,619,547,978,
901,921,692,862,826,124,338,355,373,198,594,306,094,416,353,849,451,565,553,
203,349,322,923,997,981,659,220,497,110,789,066,374,380,163,968,036,753,787,
568,093,855,571,728,268,307,141,598,144,309,453,077,748,833,262,422,549,510,
611,850,179,893,405,254,564,927,546,391,838,797,365,483,742,382,618,537,352,
463,403,213,337,992,628,500,493,784,225,255,713,916,282,068,489,969,527,200,
634,070,806,906,501,551,740,898,472,750,395,055,842,339,735,392,187,565,903,
388,009,918,230,254,707,003,937,685,176,158,683,002,016,293,071,402,447,620,
320,034,239,949,449,546,026,222,538,538,119,258,209,659,459,191,764,836,253,
461,599,423,611,053,585,569,906,669,142,800,422,166,840,525,176,013,853,464,
398,397,089,345,995,512,919,863,317,775,094,211,658,569,731,548,432,934,871,
405,945,318,212,982,901,763,609,517,807,453,851,439,916,272,410,025,994,694,
218,987,201,066,960,434,125,711,121,919,912,939,323,083,777,010,667,125,260,
112,906,317,128,007,972,832,222,223,869,772,432,472,066,897,978,804,696,685,
914,232,270,252,144,412,521,143,867,710,087,407,165,349,326,030,018,133,389,
655,609,080,302,990,745,526,849,259,488,297,761,478,718,337,588,205,410,301,
736,682,701,070,832,534,563,113,981,500,011,591,315,384,293,532,196,502,276,
080,001,638,092,811,368,137,411,871,775,467,267,902,768,016,800,497,205,674,
062,517,472,515,595,148,765,152,428,801,537,473,773,949,168,671,983,641,023,
315,695,293,517,216,661,167,692,344,586,050,335,471,182,109,936,070,340,148,
663,338,985,408,292,391,788,674,490,786,416,575,073,815,450,439,762,169,217,
274,114,919,524,855,125,429,272,050,050,133,030,635,801,545,758,815,013,494,
445,764,961,568,391,776,009,583,416,232,646,917,339,091,454,325,814,153,956,
595,651,145,025,684,968,449,305,809,729,142,463,140,329,486,501,281,642,935,
853,613,294,012,627,348,841,437,838,406,858,641,035,210,765,727,155,986,177,
766,389,281,153,125,114,185,654,693,084,439,877,256,187,026,698,033,806,065,
854,660,279,563,734,923,146,065,084,323,880,051,989,741,272,990,281,826,104,
266,584,670,750,117,851,205,844,326,392,431,892,831,346,546,067,752,544,954,
380,866,005,937,852,845,394,290,535,557,358,474,414,102,777,248,601,269,365,
992,214,818,091,070,977,027,876,469,428,116,855,689,878,965,990,730,378,981,
835,925,906,463,739,524,966,372,072,448,525,475,544,216,645,035,310,565,462,
529,438,111,654,034,315,680,289,563,911,978,411,011,664,117,742,672,232,082,
633,387,491,936,267,722,194,097,669,045,427,715,244,293,761,912,083,114,538,
597,648,712,348,391,743,937,452,360,308,597,254,304,257,509,249,768,191,668,
253,988,577,275,958,225,496,414,741,735,109,257,513,393,136,250,878,722,325,
288,179,287,014,661,841,562,171,013,251,753,559,731,213,516,309,143,345,164,
413,470,764,283,683,440,814,693,374,126,192,769,206,935,436,487,879,835,520,
822,125,063,783,991,966,730,950,101,109,714,076,735,740,452,067,394,338,077,
230,557,206,054,263,537,769,623,389,713,448,911,503,218,292,004,664,091,978,
862,656,764,417,330,466,962,720,359,587,378,889,987,636,441,785,448,161,415,
467,624,729,152,570,703,061,147,306,855,303,733,583,776,250,159,186,837,917,
519,523,617,692,913,753,804,344,321,345,042,781,094,293,596,224,223,929,351,
465,635,859,240,878,678,068,056,125,316,494,662,650,131,434,102,627,894,415,
765,939,665,019,693,524,751,008,297,328,686,281,429,891,826,047,450,913,774,
773,619,325,141,948,975,909,067,837,027,609,730,341,609,868,929,736,637,588,
083,309,730,554,092,819,433,193,208,902,518,487,013,744,242,065,889,999,815,
372,873,133,970,533,882,925,306,334,026,924,624,710,343,915,041,322,338,035,
758,841,793,037,854,766,849,609,733,070,816,467,443,443,548,661,697,428,344,
701,864,835,474,451,015,784,827,376,664,939,339,509,483,566,025,237,043,371,
801,495,716,073,036,849,462,830,416,477,329,406,951,512,738,456,902,137,683,
219,719,505,731,022,076,603,005,812,042,821,253,778,308,556,955,641,744,732,
849,037,716,648,982,876,160,182,372,488,953,496,386,376,390,119,811,988,184,
778,322,017,646,545,265,983,296,220,808,124,844,622,773,700,582,352,574,499,
560,127,491,720,110,218,444,770,944,340,442,912,624,372,481,116,515,535,340,
306,413,045,876,846,706,619,291,303,616,097,085,664,664,067,422,604,464,198,
541,787,143,614,297,470,456,374,728,607,898,194,121,752,237,413,114,895,614,
150,595,032,071,595,634,298,650,126,008,201,589,022,506,216,777,035,663,486,
094,776,112,271,032,630,846,734,947,598,409,231,385,913,582,826,208,837,612,
254,247,007,675,663,621,856,092,005,825,694,474,548,396,399,484,425,345,490,
396,219,135,919,226,576,498,477,835,905,451,465,118,482,147,555,712,882,878,
915,687,293,378,272,863,790,911,033,087,838,130,458,200,780,575,305,477,074,
642,858,285,050,348,739,921,387,002,357,748,540,767,214,004,223,088,677,290,
837,146,845,040,022,965,317,772,518,839,801,129,547,119,277,416,418,961,259,
990,893,598,734,251,799,973,331,005,651,291,897,129,328,299,858,833,597,136,
201,581,190,973,579,133,192,951,912,136,653,721,686,953,577,140,054,606,878,
621,676,736,121,550,789,676,248,821,205,026,575,820,066,633,835,422,719,847,
431,323,822,524,885,492,155,019,669,025,541,980,549,019,698,469,162,343,130,
838,021,096,181,129,699,017,583,141,541,627,465,575,958,916,378,215,519,012,
933,639,742,144,440,671,240,533,511,786,028,567,344,563,300,900,020,904,904,
340,196,144,444,955,586,489,188,632,234,530,217,123,496,722,606,718,559,663,
482,103,016,202,304,822,792,809,658,797,701,331,453,953,172,513,963,842,597,
449,325,582,580,573,740,061,843,417,474,864,329,275,616,311,868,193,996,368,
819,487,030,979,637,060,681,344,600,704,517,702,641,003,136,943,273,683,675,
703,980,567,468,044,973,795,479,009,517,772,510,860,970,959,680,067,861,657,
170,684,751,501,129,331,332,370,064,099,890,568,832,104,109,615,602,986,886,
783,258,121,431,314,052,116,555,176,411,112,580,723,678,474,115,028,242,246,
407,417,563,536,182,691,325,966,281,538,650,529,875,509,171,115,283,919,139,
991,064,795,308,400,143,080,423,649,076,196,387,745,653,489,652,169,871,284,
360,373,570,677,572,203,056,545,897,726,697,022,303,349,503,393,863,417,255,
812,671,261,891,487,970,068,646,208,514,337,521,458,664,858,513,269,637,292,
540,585,825,249,307,267,369,679,018,271,670,875,658,223,611,372,851,479,023,
314,894,233,750,690,653,778,338,283,688,596,979,398,801,163,998,356,039,051,
926,726,202,747,387,535,464,042,457,105,275,450,082,251,421,519,328,061,429,
450,820,985,898,414,431,155,389,703,297,697,168,038,170,437,667,805,639,237,
139,892,856,491,960,091,310,332,764,762,654,832,213,672,739,236,406,534,082,
023,813,723,977,486,778,113,318,638,399,382,274,605,055,526,443,060,893,130,
230,703,610,788,340,459,896,370,174,141,763,432,837,098,347,506,084,420,232,
556,812,926,860,124,716,909,043,573,845,800,969,201,632,799,440,693,557,338,
755,801,632,674,905,416,275,123,431,316,829,070,109,757,710,115,712,249,007,
921,571,537,776,772,777,975,843,972,328,948,664,054,598,982,562,018,995,632,
835,158,887,946,648,801,507,488,545,034,818,608,631,906,259,937,818,867,357,
062,436,245,008,660,364,885,464,344,988,251,764,772,870,363,565,120,511,851,
464,042,386,984,944,493,321,591,806,517,479,853,487,250,506,506,324,444,931,
456,732,627,441,981,390,669,032,167,631,643,251,467,957,729,344,446,668,141,
268,315,417,457,195,440,511,915,857,938,387,894,913,782,727,113,107,593,502,
973,318,322,587,929,119,813,629,761,494,613,790,641,339,397,671,541,359,690,
403,637,829,446,544,916,427,985,900,758,997,904,217,970,670,041,221,188,832,
632,092,267,648,913,827,010,056,830,946,479,596,872,521,025,911,199,179,745,
931,762,663,380,124,299,680,654,536,988,696,215,179,018,394,393,118,778,826,
733,245,652,736,008,024,800,857,865,269,286,918,174,331,913,095,274,446,050,
550,308,075,228,818,576,503,867,839,598,924,632,095,256,211,654,408,181,007,
505,900,655,357,406,462,244,606,492,382,779,131,569,468,139,539,479,137,578,
691,671,940,119,196,734,286,532,904,599,420,723,422,038,213,725,661,005,817,
410,773,730,244,077,850,793,222,614,451,875,436,429,256,061,141,198,062,588,
014,494,705,009,509,067,081,947,775,768,678,615,940,184,324,245,044,789,441,
894,645,747,288,278,386,831,657,344,813,305,638,598,093,899,084,834,355,224,
476,793,159,353,477,149,035,843,955,617,444,339,465,661,344,674,714,134,065,
719,054,110,926,637,209,851,377,393,832,867,116,681,606,640,760,648,017,940,
265,014,141,078,703,166,371,498,979,030,324,330,385,906,363,070,273,649,222,
170,737,262,259,073,170,599,383,199,169,164,243,045,382,378,272,502,640,429,
248,063,460,981,005,433,090,245,009,695,326,052,723,919,676,656,530,938,101,
735,228,272,277,219,792,204,350,024,368,712,255,095,224,256,985,298,652,163,
504,069,036,643,096,219,401,747,263,092,292,115,186,370,502,417,150,560,661,
200,002,303,912,696,054,713,609,219,558,697,821,162,010,085,325,003,446,143,
298,467,009,118,197,071,898,222,906,972,579,607,709,722,463,817,649,873,316,
755,251,696,217,578,998,903,250,186,442,919,983,453,580,077,185,650,651,170,
165,828,659,685,564,111,241,950,154,706,565,942,814,397,206,615,847,186,605,
635,407,131,070,378,106,790,605,001,424,384,064,456,651,592,023,389,906,992,
069,589,103,530,113,266,543,551,167,437,978,274,091,980,629,931,986,644,538,
871,269,814,788,961,278,042,537,915,962,737,396,447,147,417,874,227,162,404,
051,925,136,496,407,547,725,957,310,793,097,337,689,952,481,945,239,143,178,
238,888,145,566,088,748,598,826,110,647,840,335,466,432,942,454,457,164,023,
206,910,534,842,629,956,624,811,578,899,225,417,794,103,830,116,971,412,949,
248,605,006,017,495,214,588,824,815,380,350,946,872,913,840,229,847,322,584,
503,576,092,491,881,301,973,538,202,795,715,989,565,630,798,405,918,914,008,
472,654,416,878,248,064,116,148,665,530,435,241,430,959,605,248,876,024,967,
382,066,284,284,328,945,603,812,365,074,662,357,252,397,722,189,507,627,826,
614,423,005,095,698,218,669,441,076,298,417,696,605,817,778,683,861,345,991,
898,402,131,281,255,665,238,320,029,234,446,617,849,470,344,804,098,370,657,
555,332,752,117,586,343,071,007,692,801,466,362,090,750,136,023,889,138,418,
050,918,689,714,181,670,786,502,836,101,443,434,583,608,065,047,067,946,885,
388,211,966,263,178,327,622,819,135,284,583,652,192,629,169,919,662,480,557,
074,685,245,434,660,995,191,065,533,536,741,308,394,579,570,215,720,936,664,
394,795,078,005,430,136,646,212,519,528,610,752,346,863,472,960,464,136,592,
818,296,767,672,151,197,131,226,139,678,276,302,312,043,709,782,574,682,294,
003,570,133,966,476,936,466,794,654,117,330,089,639,071,076,335,983,093,429,
731,229,420,165,793,451,056,676,785,649,247,585,586,695,492,484,870,514,061,
411,440,001,356,914,693,010,403,984,782,141,308,784,415,689,089,181,368,450,
132,429,688,845,677,126,945,392,596,468,065,704,170,721,308,996,525,721,682,
799,612,255,281,490,200,469,266,037,552,956,864,138,234,983,596,675,269,285,
278,580,528,294,832,104,693,389,850,648,532,044,957,270,135,920,036,191,100,
661,640,790,051,768,275,698,520,915,734,597,500,118,141,075,410,954,485,445,
740,723,602,328,233,311,118,603,595,243,411,925,411,437,271,096,651,859,217,
009,034,818,130,474,391,742,688,578,479,254,044,909,865,684,388,629,472,526,
203,266,290,848,387,390,325,491,239,742,383,205,097,379,293,571,166,763,394,
831,619,870,703,908,959,551,509,635,746,168,974,944,412,070,344,101,100,044,
541,864,920,740,199,849,222,265,919,850,042,212,564,758,552,386,358,516,212,
044,882,772,345,261,930,819,047,757,048,104,222,642,360,452,712,420,203,751,
223,097,866,929,617,852,258,845,755,774,988,343,182,604,674,956,087,858,546,
910,267,871,805,184,976,795,651,909,025,582,413,515,140,151,837,451,849,208,
391,360,073,675,175,734,915,271,478,396,067,274,527,694,998,633,745,286,947,
402,005,105,194,083,713,316,794,545,909,090,167,747,961,494,554,033,817,638,
377,953,796,797,158,397,673,415,838,623,474,866,850,594,117,232,983,326,044,
827,977,479,316,274,973,091,762,395,740,297,706,202,845,222,870,220,239,476,
935,030,456,991,261,797,157,183,009,920,094,659,967,627,063,573,039,636,258,
464,533,423,092,940,216,867,472,672,196,241,359,690,180,003,093,389,171,006,
577,646,631,639,560,128,861,102,965,062,335,967,257,987,661,817,826,497,758,
768,462,446,805,569,490,134,017,586,243,851,779,861,727,144,206,906,702,364,
873,919,833,347,846,375,539,040,085,362,478,387,431,103,026,292,800,906,340,
061,056,016,804,267,483,293,785,770,304,745,203,285,535,021,650,697,975,598,
070,812,560,672,586,689,171,232,484,871,913,057,025,911,283,157,774,981,222,
655,909,575,280,357,910,831,181,860,893,962,110,986,772,946,125,452,072,718,
901,522,449,486,217,512,136,095,803,062,330,915,357,177,596,361,435,359,231,
588,121,438,513,011,463,005,895,803,129,801,035,127,969,689,949,049,493,509,
889,167,191,123,519,849,601,218,023,264,641,377,547,681,566,049,243,294,212,
810,860,679,878,756,279,116,557,810,864,363,171,821,598,309,790,870,958,174,
725,043,754,528,018,099,832,239,373,116,790,918,405,481,750,745,877,666,515,
713,713,517,611,295,698,438,020,685,654,610,129,597,578,154,046,790,706,472,
763,916,926,079,869,411,180,120,834,016,533,105,585,502,461,815,016,251,904,
952,957,911,438,343,241,974,464,287,657,250,049,125,560,514,300,839,672,647,
499,938,082,143,924,609,445,443,292,063,204,310,294,121,069,685,083,901,450,
836,120,887,715,488,362,159,086,989,740,407,665,181,790,677,369,912,502,638,
062,327,737,465,961,898,132,713,562,199,751,845,844,199,760,908,905,636,298,
344,081,283,816,681,288,908,130,344,698,656,689,715,168,574,383,596,509,383,
080,040,838,888,891,018,640,769,506,412,558,930,586,605,859,244,403,307,307,
736,342,317,809,288,325,602,600,442,455,166,480,176,130,856,217,986,400,233,
321,732,523,221,783,759,278,893,526,055,936,338,602,639,674,417,046,671,995,
262,942,692,778,751,391,380,330,305,544,365,479,876,877,138,263,491,299,043,
369,928,666,311,522,918,694,882,414,419,672,010,006,959,807,732,691,353,367,
565,823,132,703,167,034,912,347,312,053,804,283,351,652,437,954,511,374,392,
181,623,711,618,221,568,765,432,827,388,507,895,214,559,727,193,382,674,108,
453,980,804,420,818,871,286,597,644,494,031,532,882,046,126,098,103,379,114,
019,502,677,599,514,818,166,013,518,866,613,918,581,295,193,779,002,784,617,
287,481,108,728,871,434,285,536,135,509,597,589,033,267,857,933,198,092,032,
762,510,425,359,084,692,701,933,119,848,567,127,205,161,137,204,241,186,352,
772,235,708,002,798,738,959,976,717,039,621,545,882,231,130,153,116,186,748,
765,785,107,388,877,864,834,495,699,695,041,783,479,244,989,046,640,478,822,
141,401,820,897,338,489,222,107,828,712,403,713,945,693,324,166,497,665,116,
905,549,748,904,821,924,353,836,775,206,447,774,370,043,386,172,395,485,940,
849,648,592,903,533,559,507,001,033,506,588,918,849,611,323,887,789,000,746,
337,324,134,543,326,323,230,892,763,362,483,676,497,425,213,457,903,841,791,
330,250,183,340,554,480,714,358,190,838,279,287,419,825,011,768,906,323,464,
757,855,054,579,929,664,390,267,530,253,987,224,150,234,144,237,056,962,493,
611,632,706,991,347,990,632,730,713,108,539,558,248,855,423,153,374,892,629,
495,968,468,197,600,924,573,933,751,820,307,700,101,222,767,357,848,143,076,
968,933,371,321,333,506,218,244,314,393,865,252,467,359,951,020,660,177,716,
829,763,970,601,952,551,297,832,563,324,730,206,178,272,295,535,082,857,247,
545,049,663,709,783,504,990,140,640,164,785,246,333,246,976,536,732,297,014,
964,433,333,230,453,921,174,905,690,559,895,592,554,257,246,495,681,745,045,
349,784,738,726,527,382,135,350,569,515,986,951,472,326,639,210,321,507,452,
229,292,168,272,028,550,781,848,185,689,799,012,675,838,840,769,222,591,634,
893,249,571,900,862,151,209,919,108,094,676,408,369,078,141,120,723,439,099,
230,372,908,611,696,879,036,515,285,044,265,309,724,453,338,382,524,770,223,
532,305,150,036,181,131,430,611,414,061,847,674,983,608,801,531,731,911,616,
054,788,231,969,376,078,895,872,096,968,040,597,897,951,926,891,406,083,508,
846,458,515,896,452,048,549,881,446,868,266,235,999,530,672,561,566,411,999,
066,341,984,641,056,922,955,543,327,744,344,016,896,443,973,859,273,830,398,
955,007,168,607,369,326,153,132,058,487,629,996,980,221,807,151,160,758,146,
397,229,848,030,305,102,596,222,159,532,369,517,023,930,898,374,293,086,067,
320,687,171,595,175,172,630,809,800,332,404,267,699,920,785,462,030,233,984,
094,526,648,103,645,772,023,909,685,796,338,343,174,006,333,074,924,149,938,
690,990,326,357,632,486,478,277,034,747,131,193,801,300,872,997,357,456,234,
561,973,401,088,481,098,172,203,441,241,876,207,054,967,826,871,426,399,538,
607,128,429,953,869,474,154,004,628,080,135,079,691,250,693,380,749,613,209,
856,243,048,101,676,497,306,123,827,718,428,694,014,394,647,426,455,075,155,
511,675,081,566,719,323,958,179,550,147,544,944,877,605,505,428,719,093,194,
170,758,942,488,142,456,398,368,359,682,565,872,575,867,169,686,366,771,864,
108,741,418,591,702,620,382,157,593,593,113,356,843,784,850,920,274,942,532,
358,625,789,775,069,318,832,001,668,678,124,460,412,793,589,686,252,479,402,
577,323,882,471,122,594,027,596,051,969,252,940,544,734,619,640,640,988,030,
321,965,760,908,320,478,481,908,975,365,877,385,748,098,234,520,091,529,805,
732,044,894,300,478,659,596,824,224,840,961,935,811,709,083,892,015,712,537,
394,673,155,006,413,060,444,998,112,789,610,496,238,490,404,383,967,218,713,
925,030,185,272,444,950,945,799,498,070,160,795,339,852,503,049,631,721,524,
909,818,189,061,146,678,554,028,884,776,497,798,076,618,521,665,829,092,202,
421,576,021,025,867,555,326,612,597,224,224,623,904,231,646,552,741,223,918,
727,792,226,968,896,596,947,231,457,660,231,329,212,264,532,831,373,408,306,
744,813,791,409,944,821,646,051,687,655,155,889,420,310,373,287,845,550,756,
520,882,284,415,803,342,355,950,763,662,728,499,919,138,653,430,303,968,767,
620,921,735,455,453,855,010,855,938,038,522,063,831,588,043,664,347,997,029,
421,064,235,632,339,501,848,770,064,333,399,360,467,185,138,233,682,069,358,
975,919,167,083,988,859,270,534,957,316,628,888,653,950,262,594,396,906,612,
728,334,886,405,434,665,260,404,497,288,842,784,313,348,657,390,430,977,048,
305,997,621,581,803,255,841,920,729,920,055,165,075,527,051,710,051,324,872,
759,455,056,046,118,878,025,439,715,564,374,980,774,873,164,105,834,759,920,
021,402,869,092,942,794,389,439,551,071,005,911,488,816,881,643,457,969,348,
613,033,897,357,570,820,998,301,832,734,192,914,502,194,750,918,526,349,861,
168,697,317,354,973,891,981,232,050,964,628,749,739,174,014,296,786,958,629,
419,668,132,747,867,032,019,278,439,502,346,073,099,624,545,059,992,927,091,
293,220,442,948,685,236,975,304,831,207,020,422,623,317,263,162,265,475,555,
998,736,821,413,272,634,985,012,245,762,108,016,072,500,748,794,502,156,215,
045,417,865,484,439,295,991,609,142,462,973,222,386,520,668,944,865,323,939,
981,611,693,668,498,818,725,100,323,815,420,794,966,374,754,578,831,127,114,
949,924,796,397,370,117,851,456,443,566,433,646,971,218,409,322,992,427,473,
239,755,054,982,804,927,785,053,924,188,967,087,300,970,780,102,988,575,555,
522,126,272,383,320,630,661,484,756,379,675,254,555,195,099,231,476,280,920,
561,359,702,604,836,202,595,473,765,034,219,023,120,042,043,920,343,765,317,
040,234,579,835,910,487,380,974,793,026,819,755,415,700,064,469,713,066,314,
099,087,631,347,875,766,349,515,406,210,675,952,482,719,819,809,539,160,714,
635,460,196,834,072,991,042,252,164,253,617,982,069,652,082,306,131,649,372,
200,241,925,791,227,136,055,536,685,371,124,139,110,404,632,983,878,958,257,
199,240,731,151,356,417,218,140,953,017,002,117,392,874,447,616,387,179,154,
407,498,899,255,873,414,754,338,794,983,941,616,335,615,554,157,614,207,634,
253,108,089,736,449,186,250,610,077,949,504,382,826,981,083,558,203,314,785,
838,378,610,412,090,340,761,641,455,266,931,317,522,144,916,599,181,258,787,
176,918,634,204,692,170,286,485,930,095,717,460,146,944,717,038,792,544,376,
092,968,934,934,502,967,260,824,532,334,377,604,525,876,479,461,052,546,775,
051,045,118,752,732,474,526,115,877,852,450,456,394,217,804,890,199,894,192,
792,590,666,504,915,253,436,546,383,426,503,698,395,674,794,213,874,299,862,
520,222,311,138,216,081,116,513,195,377,851,508,822,674,417,744,357,324,946,
992,874,231,364,813,676,985,155,645,219,529,004,566,375,581,020,968,685,011,
327,595,873,127,192,819,081,192,664,938,914,522,443,964,465,814,312,855,482,
841,858,983,437,558,264,308,095,543,443,077,493,622,903,642,962,284,968,057,
894,170,030,840,222,728,339,552,776,230,423,562,878,067,533,189,759,556,847,
950,322,291,260,053,478,552,682,476,597,616,420,710,307,027,666,594,816,597,
682,491,346,814,957,612,572,508,015,076,891,931,145,243,062,771,801,232,466,
433,305,496,162,094,675,027,166,703,610,855,357,882,742,627,807,812,666,056,
202,596,251,167,675,034,142,132,289,712,406,151,838,833,475,745,731,390,417,
312,352,461,602,821,839,845,897,910,915,514,100,717,920,252,477,868,586,956,
507,450,288,666,142,913,093,891,098,325,113,677,845,154,917,946,469,007,583,
477,269,378,975,503,290,557,070,673,955,447,958,464,477,906,135,939,722,673,
336,255,835,054,459,328,424,263,499,063,200,942,187,049,356,359,287,796,706,
616,337,018,094,994,428,293,871,654,440,628,934,795,619,105,760,871,530,165,
059,830,275,878,306,229,457,248,189,933,306,727,944,437,266,587,508,875,422,
145,897,442,490,566,126,231,498,083,819,139,241,497,506,757,354,102,840,072,
231,117,610,457,053,397,229,604,832,797,137,279,808,385,103,794,304,955,568,
223,925,440,356,149,219,335,843,964,596,088,760,985,630,346,811,059,193,181,
383,346,399,945,646,226,950,771,430,172,054,487,030,356,527,962,591,880,316,
463,846,408,383,383,168,615,563,315,519,894,034,941,336,947,964,246,484,545,
904,711,948,185,028,711,123,729,320,755,345,720,082,992,963,950,488,302,337,
976,637,628,437,892,767,699,463,622,775,472,887,669,725,482,196,149,465,644,
289,743,683,500,478,072,684,203,963,384,059,098,873,663,321,002,832,614,535,
367,053,719,066,346,249,020,151,814,102,834,807,967,351,952,257,097,676,057,
502,735,384,057,124,274,268,698,131,649,928,680,836,451,824,916,209,382,770,
858,739,294,474,390,126,732,023,125,615,692,852,678,921,421,311,515,561,485,
797,183,347,823,221,685,017,845,679,571,462,981,341,759,744,119,468,901,547,
357,791,744,865,165,429,224,308,734,897,709,535,383,562,877,825,778,342,425,
259,590,168,180,162,952,551,022,926,164,299,683,114,475,320,012,857,214,596,
398,271,599,214,578,148,804,543,983,936,985,248,963,878,099,341,241,730,984,
336,592,249,873,949,117,425,599,076,015,825,936,993,277,121,576,181,488,562,
654,177,813,644,535,031,949,876,831,215,636,389,606,206,808,948,090,612,414,
465,175,074,574,094,355,151,133,481,955,877,934,853,164,918,379,806,768,110,
044,283,723,658,712,100,140,008,867,453,764,639,816,459,840,977,244,853,364,
686,710,190,546,406,991,519,666,969,529,294,483,194,434,242,186,333,607,270,
147,782,283,258,034,264,591,384,935,976,375,345,933,670,744,859,950,212,645,
411,386,040,972,517,538,421,802,883,627,542,357,279,655,888,584,322,382,631,
564,285,699,007,610,419,341,700,326,196,616,073,074,738,290,913,028,293,717,
789,682,031,955,997,961,079,775,659,518,520,671,394,351,150,875,857,652,333,
467,859,202,183,582,526,543,350,417,260,166,343,115,679,174,650,247,647,582,
430,818,872,113,287,623,816,542,440,261,469,356,869,579,951,981,072,590,428,
574,937,799,093,379,704,460,233,153,678,145,591,271,997,168,107,071,913,458,
016,591,012,489,977,594,904,884,341,122,942,262,001,949,815,144,053,189,263,
731,620,512,849,845,783,045,605,335,332,019,998,043,681,223,038,933,151,625,
043,622,234,064,878,058,596,675,859,375,045,766,888,397,008,029,368,765,817,
424,356,849,610,561,580,725,287,276,943,852,115,359,292,738,210,324,714,391,
858,551,936,245,593,204,585,229,739,120,633,851,923,807,349,926,154,691,163,
331,201,132,908,266,058,601,545,332,800,502,292,034,757,823,542,501,802,023,
008,772,090,201,970,389,938,913,814,208,628,311,495,716,941,549,858,902,529,
044,551,585,466,577,018,851,942,864,271,359,166,747,971,159,218,000,067,063,
597,935,756,746,834,800,843,480,368,759,210,873,574,982,212,708,908,478,796,
398,971,591,521,334,196,959,391,195,198,937,650,365,549,169,706,367,334,907,
443,763,776,973,969,454,528,993,299,011,751,825,422,432,978,039,286,779,386,
471,639,874,382,313,067,707,593,493,513,459,618,250,635,058,064,403,734,978,
008,226,652,434,093,070,026,060,892,680,227,826,146,145,344,490,661,759,793,
992,117,330,382,694,631,874,489,340,925,676,091,644,984,039,365,850,781,359,
267,523,597,591,650,910,247,045,880,271,124,883,545,797,001,766,425,644,006,
134,118,741,766,536,678,788,483,614,256,047,851,233,574,526,077,189,943,215,
626,336,988,430,402,934,381,974,567,480,294,027,097,722,472,646,246,405,049,
855,848,961,491,091,801,153,428,205,929,807,397,627,561,212,527,866,811,483,
927,023,518,763,430,456,896,868,124,378,710,402,420,175,483,751,833,528,309,
493,258,029,040,842,578,019,068,589,883,978,857,869,431,912,913,063,970,813,
715,915,574,036,091,621,280,230,915,060,461,198,788,114,713,395,607,633,454,
916,950,991,444,856,375,978,540,877,358,882,981,429,771,618,615,473,145,211,
491,439,669,111,711,935,714,587,030,382,887,420,562,926,419,424,810,564,922,
243,169,746,479,841,573,322,048,601,281,165,459,774,008,167,294,827,365,350,
781,844,135,222,921,427,329,756,012,903,455,513,444,079,057,688,664,366,036,
480,044,053,620,807,314,438,669,488,770,231,441,712,104,120,606,586,150,621,
934,425,533,333,944,110,200,769,362,702,752,694,100,350,188,420,804,933,417,
718,709,898,687,974,622,814,065,535,014,610,641,792,014,853,888,409,229,746,
510,817,148,216,624,436,132,406,786,848,269,942,889,108,223,419,029,372,669,
351,184,113,586,363,518,509,932,028,016,808,582,955,042,892,063,714,928,765,
231,788,076,308,515,748,479,359,723,266,097,782,221,068,834,395,467,828,867,
699,336,068,868,555,754,496,674,662,562,514,368,306,759,816,858,177,239,776,
847,475,824,228,716,899,861,982,031,465,613,663,086,213,161,773,517,151,510,
480,576,327,379,607,478,845,006,345,012,528,943,246,588,271,024,011,948,212,
676,610,486,832,439,461,168,567,317,039,781,481,434,880,715,660,827,123,520,
385,118,844,931,902,215,829,652,287,833,573,838,110,270,228,984,114,721,654,
061,914,191,982,048,039,112,182,508,283,017,459,920,829,420,080,074,765,284,
234,137,865,963,058,952,254,658,368,767,442,262,844,901,493,070,510,490,479,
596,033,374,119,151,239,033,082,548,822,982,964,424,335,803,746,556,784,838,
960,523,741,649,791,980,220,028,088,189,065,135,175,241,690,709,221,098,878,
890,701,184,560,088,190,921,143,592,033,632,847,382,201,386,229,144,682,723,
396,917,588,508,451,455,272,491,252,785,719,233,651,613,489,767,146,655,586,
954,359,981,520,882,195,458,881,947,484,298,016,319,180,489,413,634,755,873,
313,772,218,387,502,122,147,355,376,285,666,738,646,069,056,193,097,977,795,
045,479,209,099,413,211,150,073,267,973,938,191,990,879,310,721,495,134,265,
944,121,728,539,729,823,701,203,673,197,595,085,546,337,944,731,489,824,132,
708,842,019,230,319,092,885,779,710,930,557,302,218,929,434,951,801,037,844,
621,229,046,139,315,895,733,377,735,349,774,178,489,285,236,758,152,636,604,
952,140,550,172,926,182,093,412,092,411,208,280,501,096,599,361,193,895,370,
867,137,397,878,066,112,728,222,574,892,091,804,557,055,565,644,789,058,156,
747,802,927,643,906,857,652,768,328,125,937,030,961,567,473,626,009,375,926,
321,942,258,636,051,212,436,190,429,577,510,404,762,320,226,512,383,504,936,
710,461,492,247,212,162,554,166,384,424,136,960,454,951,448,492,712,572,337,
072,922,840,119,982,753,955,257,954,810,123,751,554,641,909,907,560,204,467,
196,225,190,781,902,780,245,206,514,029,630,437,540,631,790,366,774,452,773,
236,752,995,239,014,115,540,181,572,795,921,248,124,254,248,517,928,476,956,
519,600,234,910,584,064,866,795,059,793,778,150,636,891,852,941,113,370,028,
403,070,104,917,348,508,477,415,615,204,511,291,914,890,915,519,760,623,174,
827,522,556,678,570,820,811,038,559,233,487,690,841,355,377,112,899,233,223,
953,427,531,207,147,154,908,703,812,885,094,113,200,513,284,467,842,795,134,
343,574,620,102,791,136,465,838,690,886,337,450,229,397,843,375,948,263,479,
506,428,448,111,777,225,149,598,262,034,992,884,404,869,598,777,047,859,781,
535,267,497,384,395,286,193,889,943,827,288,783,561,225,367,953,957,382,733,
131,446,860,026,697,928,982,005,526,077,056,888,974,920,710,057,764,451,495,
188,799,661,217,809,461,263,093,093,580,088,156,700,098,828,661,025,472,936,
515,006,910,075,662,068,829,604,950,259,762,121,734,917,729,141,898,966,219,
848,156,729,296,573,122,368,759,034,126,970,760,729,186,398,955,608,803,478,
527,803,667,180,592,076,295,049,404,607,796,837,599,636,227,284,113,219,270,
157,820,444,723,703,584,493,491,914,195,287,825,192,170,864,782,122,276,629,
767,325,095,478,723,463,425,302,034,167,271,860,800,175,207,259,867,061,050,
531,999,800,288,590,185,088,176,308,971,296,565,677,467,174,296,700,644,316,
340,400,848,823,939,522,407,289,220,645,458,252,657,568,331,079,800,731,893,
348,975,920,562,271,070,755,680,129,529,012,442,017,519,047,736,797,232,678,
937,072,293,769,012,775,611,165,963,256,235,701,658,099,288,977,758,947,998,
848,793,083,403,283,860,612,452,961,335,136,448,235,424,708,660,452,486,287,
002,890,682,100,023,934,996,902,051,906,891,772,424,709,339,558,311,292,026,
563,749,964,653,473,469,373,588,256,091,385,274,262,768,861,738,667,501,619,
715,057,348,183,480,009,434,565,453,909,360,167,336,635,495,145,096,725,214,
012,025,702,724,900,549,012,087,272,093,253,068,113,965,510,619,905,817,885,
852,369,767,123,313,795,207,581,156,472,110,673,352,222,727,913,953,873,429,
343,487,247,231,665,994,988,364,742,701,173,996,772,736,316,968,205,279,537,
076,651,223,974,368,007,091,535,064,255,857,025,384,807,158,979,008,341,247,
526,495,521,957,023,640,851,819,403,154,440,950,293,377,414,093,234,996,564,
394,988,075,459,468,401,543,991,701,587,865,197,206,993,966,794,824,003,976,
812,931,812,438,212,155,488,888,109,380,593,373,455,410,379,434,780,268,862,
628,104,499,609,617,908,581,894,572,244,312,549,105,181,199,194,802,839,742,
484,997,790,611,803,561,825,764,469,935,402,631,762,521,089,558,168,381,241,
661,806,757,286,850,165,554,429,767,488,065,135,647,425,733,431,844,467,753,
468,387,662,175,087,446,350,437,063,181,101,972,051,216,872,328,753,449,485,
285,494,359,258,898,037,870,731,271,299,031,548,339,688,494,809,010,569,773,
007,591,690,408,519,444,428,514,074,121,056,080,344,999,059,813,264,212,742,
722,697,753,408,883,793,160,481,573,266,203,630,107,361,887,416,698,001,647,
354,069,032,317,221,212,591,510,569,995,293,376,424,304,960,089,862,187,703,
951,608,622,001,122,909,725,486,838,190,126,156,269,794,752,576,446,251,516,
633,332,912,395,051,738,688,558,208,055,518,679,458,259,260,379,198,142,962,
605,916,625,486,758,490,689,703,643,762,547,228,178,016,719,856,642,471,222,
055,020,729,353,826,323,010,368,673,320,421,462,228,172,618,327,017,619,065,
318,077,027,946,466,931,678,039,192,580,370,702,282,617,149,869,954,622,260,
052,142,829,012,003,995,314,169,535,366,047,847,031,667,987,242,064,219,529,
020,797,266,416,158,936,467,281,382,753,674,538,768,761,649,272,727,273,895,
805,249,454,829,801,414,462,063,138,460,223,731,329,738,820,147,937,077,892,
642,837,934,715,027,762,964,072,577,468,914,107,885,696,710,222,966,502,231,
035,002,868,471,489,066,312,405,439,320,238,852,451,656,701,614,811,094,518,
363,302,082,851,213,617,663,776,919,921,826,771,429,595,925,443,820,959,120,
094,795,491,154,336,231,036,354,290,917,650,307,334,680,435,180,214,924,787,
517,559,841,870,217,763,859,505,852,067,582,866,021,275,850,920,376,730,748,
739,286,193,326,344,757,461,318,213,794,090,483,842,829,845,019,712,674,945,
022,331,569,038,747,340,318,721,237,796,627,633,040,729,738,402,838,821,486,
801,277,797,292,573,231,726,356,942,046,904,985,172,408,887,759,596,736,382,
738,516,854,798,043,563,663,862,467,540,355,307,539,490,402,548,872,915,784,
853,773,328,437,170,851,442,785,731,956,482,886,973,981,520,710,006,118,928,
610,127,909,849,980,313,377,465,068,742,604,840,676,345,266,089,243,527,600,
735,597,138,701,742,609,624,200,071,780,962,377,060,990,690,430,903,340,813,
262,680,368,567,045,725,150,490,888,774,564,184,798,743,898,171,165,110,396,
836,071,946,465,104,731,970,218,359,824,906,148,275,609,597,646,108,743,629,
159,652,448,002,973,335,702,325,113,682,647,973,793,873,184,967,551,678,206,
180,766,871,908,401,816,026,899,393,803,673,061,063,874,261,742,319,113,420,
854,283,752,224,117,479,186,280,631,864,278,787,277,953,334,913,205,597,934,
409,614,034,823,989,322,016,402,891,113,979,050,251,941,899,571,713,466,214,
142,002,759,479,559,888,817,912,585,485,750,818,724,705,490,058,196,946,646,
728,378,458,610,864,492,256,092,527,630,393,497,115,434,440,756,446,935,511,
783,186,421,615,681,743,486,523,466,082,364,242,781,781,803,658,313,128,602,
298,255,264,747,097,064,808,130,727,598,774,928,477,595,142,966,112,815,274,
809,313,062,340,957,994,035,917,650,780,419,003,504,229,250,089,296,836,112,
137,946,228,918,986,545,677,279,601,499,973,287,522,665,230,031,717,019,437,
050,670,870,209,518,181,357,385,906,624,830,573,089,494,622,591,029,672,117,
914,316,914,636,355,666,997,420,220,215,532,083,824,288,680,454,988,603,495,
789,427,637,191,915,352,668,584,087,466,135,247,229,757,575,772,641,924,412,
330,011,488,294,252,756,134,993,412,500,578,756,761,409,671,466,509,895,749,
828,951,350,525,452,541,375,768,900,290,015,573,076,777,482,248,447,318,904,
637,914,457,654,352,594,014,093,011,505,529,613,751,382,680,644,580,712,493,
965,940,217,668,943,699,113,163,312,258,242,908,214,256,115,952,111,499,941,
096,156,338,610,631,809,390,313,523,064,066,487,579,377,812,846,589,336,126,
413,456,460,205,561,857,281,475,418,186,536,278,060,933,906,487,145,257,108,
160,356,648,793,978,593,711,167,627,793,348,764,306,618,715,912,704,368,694,
187,310,308,232,927,381,585,770,893,172,799,089,259,047,215,109,252,418,849,
941,657,868,668,769,612,317,968,583,235,479,365,258,969,629,796,151,616,334,
704,217,006,714,814,594,187,393,127,005,448,918,647,720,334,577,907,405,765,
005,727,223,795,328,465,652,742,235,314,447,824,580,547,957,923,928,809,675,
364,620,301,544,864,402,732,634,472,668,991,510,367,023,878,315,099,228,653,
108,685,483,236,248,735,543,157,130,092,087,635,505,117,720,740,677,004,428,
573,910,666,402,668,182,439,935,987,662,434,986,598,627,197,729,815,046,791,
927,165,286,776,845,675,352,089,801,184,638,542,194,474,746,850,902,228,627,
674,198,648,071,373,695,377,945,675,109,263,232,955,949,265,071,510,089,482,
063,924,635,457,717,167,503,214,808,868,057,042,705,908,624,040,924,035,446,
461,987,364,447,173,802,523,236,692,694,044,888,402,515,134,650,272,482,942,
471,050,671,293,022,856,332,913,953,899,599,273,547,815,729,591,304,770,734,
721,923,932,239,417,505,976,851,438,123,502,914,898,148,390,154,189,809,144,
466,120,102,357,058,440,275,096,012,128,118,093,584,369,362,007,636,825,490,
326,409,303,420,834,778,581,534,567,038,358,677,149,243,399,027,887,447,804,
038,237,511,928,687,548,876,523,675,413,399,224,849,658,362,559,933,962,840,
031,869,146,192,974,338,085,090,774,648,671,948,223,730,694,870,609,968,968,
169,617,732,306,311,833,581,764,383,647,628,015,106,832,335,123,000,468,975,
208,948,202,346,793,510,335,125,532,845,748,925,558,544,217,294,806,965,331,
572,137,962,018,031,470,370,700,507,919,759,034,524,313,538,906,370,007,433,
027,692,404,549,392,381,737,854,605,995,333,192,760,045,237,392,793,178,574,
377,155,572,396,816,058,778,238,575,930,368,224,550,876,095,412,204,675,626,
635,191,256,345,170,762,849,429,384,091,294,598,343,929,114,560,467,792,946,
860,472,115,866,154,647,029,333,610,586,496,381,456,393,759,186,431,793,857,
800,766,923,511,867,971,998,786,472,147,278,834,513,585,040,340,961,860,148,
173,418,970,998,127,679,537,443,956,799,053,975,592,993,261,249,812,360,264,
517,313,467,741,632,432,273,950,306,146,806,033,276,345,070,627,893,474,456,
917,620,313,965,790,216,748,584,604,549,395,985,059,573,378,350,748,194,294,
054,826,391,934,446,793,499,643,150,388,009,500,453,196,411,593,855,999,943,
481,453,251,748,507,372,139,022,920,175,806,037,301,016,703,110,482,263,936,
022,452,951,271,640,560,375,839,693,796,058,094,936,305,062,450,477,495,632,
488,957,447,401,066,719,335,872,429,866,766,597,301,419,148,149,096,037,053,
220,070,810,542,821,620,662,477,791,315,685,932,737,025,111,605,207,235,630,
811,380,593,570,972,041,897,226,206,621,946,455,791,236,617,300,901,657,126,
437,961,706,827,428,686,066,024,879,273,767,236,532,712,745,408,805,518,196,
817,663,272,902,396,909,360,964,256,481,569,863,870,390,876,131,541,255,773,
441,093,273,340,401,227,086,284,715,962,431,857,086,957,670,700,861,317,825,
094,415,573,230,665,743,060,706,986,248,774,348,607,617,341,433,916,258,769,
068,890,180,596,973,515,790,589,787,895,199,577,699,000,128,289,382,947,757,
681,451,625,105,490,083,068,004,938,059,303,412,482,505,209,110,162,390,688,
115,024,735,230,798,149,050,593,059,817,940,930,290,408,531,505,422,784,321,
905,469,180,665,110,259,149,764,928,847,892,881,198,095,495,741,764,008,028,
899,070,376,019,786,358,955,329,134,306,438,915,960,194,572,183,658,721,953,
182,978,802,282,165,263,508,150,254,671,610,043,693,543,948,661,777,228,167,
290,656,630,679,246,113,646,731,988,414,176,574,599,688,712,247,640,516,010,
303,079,880,478,412,475,079,406,884,910,228,279,592,282,248,988,353,411,288,
945,898,285,965,038,787,593,235,067,258,732,522,845,279,731,890,370,613,245,
909,800,972,635,988,681,143,776,836,817,524,180,857,219,055,556,697,217,669,
466,000,439,252,202,378,887,929,306,515,643,334,585,325,039,376,860,755,675,
912,694,676,520,812,319,059,444,242,225,755,488,019,926,440,592,195,291,806,
772,820,587,270,406,311,922,041,243,836,472,978,883,409,231,844,558,593,920,
094,108,263,358,717,290,466,079,019,632,506,271,184,088,285,695,078,126,341,
394,323,057,206,375,380,078,264,116,118,664,425,224,914,622,519,516,077,978,
825,134,907,264,208,820,690,198,098,314,730,440,517,394,514,963,922,846,834,
001,123,795,151,838,010,883,346,918,045,438,705,689,288,570,110,570,122,002,
792,619,415,190,119,745,527,763,323,039,626,404,189,795,554,280,283,452,337,
759,630,248,139,872,539,196,889,080,085,505,226,542,365,992,821,947,256,874,
361,563,338,294,842,034,934,223,381,404,520,598,121,881,759,803,382,672,746,
385,860,592,698,224,592,683,474,129,146,824,964,190,080,427,288,435,399,119,
873,125,943,916,061,061,513,865,431,284,355,998,000,797,903,967,081,362,699,
300,548,854,110,669,006,754,778,542,674,667,843,816,317,402,765,249,031,142,
038,571,173,823,563,746,677,591,398,673,351,939,810,066,917,663,303,365,610,
951,060,021,693,854,633,292,252,888,122,457,245,630,310,662,761,197,510,411,
046,117,892,709,322,959,476,751,154,728,449,570,872,764,683,459,353,635,315,
873,956,349,653,222,292,841,761,837,095,261,143,833,604,640,168,618,185,274,
148,790,383,100,367,250,068,330,383,395,163,430,436,382,863,893,266,325,661,
922,858,200,693,475,242,383,533,302,522,450,971,851,720,538,895,910,151,980,
584,857,441,700,005,135,617,041,966,633,894,275,764,027,744,705,863,094,479,
265,057,880,324,130,498,155,983,225,059,246,199,945,085,428,052,647,706,629,
143,376,603,167,264,724,399,930,565,352,101,663,428,324,719,763,467,212,598,
806,920,941,702,913,195,867,947,205,654,348,081,301,953,831,053,750,252,445,
596,390,984,882,999,404,785,996,358,245,802,921,548,614,908,239,693,464,496,
480,428,988,454,062,975,661,036,881,467,854,769,557,384,119,447,648,947,202,
564,952,680,240,102,712,918,600,195,101,117,459,769,998,054,611,592,093,166,
167,631,222,879,966,184,475,674,842,253,183,884,810,762,737,588,342,210,036,
350,443,092,067,727,924,284,986,561,391,785,827,239,441,163,607,037,300,242,
356,908,667,357,607,156,582,807,624,489,210,654,245,281,364,819,962,853,168,
725,979,860,441,821,441,599,376,561,090,296,394,283,123,265,939,189,389,143,
227,101,269,699,252,007,891,676,480,253,122,361,653,701,167,548,720,596,627,
736,338,604,940,517,364,919,686,856,736,851,714,744,665,800,132,255,986,005,
131,278,638,222,905,127,883,453,033,226,477,349,566,874,233,628,125,304,846,
625,843,966,043,080,963,029,719,103,507,435,840,676,268,849,040,902,238,786,
941,986,977,017,617,218,925,138,980,479,799,039,306,574,678,816,612,666,427,
568,966,121,008,175,696,181,574,115,133,257,883,925,941,729,416,243,667,864,
423,653,330,375,957,608,513,666,697,770,016,001,240,980,050,381,262,426,992,
708,194,407,625,012,689,877,079,092,769,296,109,984,018,657,125,009,650,473,
515,568,456,262,173,437,943,624,633,687,938,472,399,763,640,030,222,478,701,
502,760,087,339,583,295,299,824,483,819,290,183,915,308,835,938,157,303,687,
215,216,629,737,028,973,848,593,706,059,522,758,235,555,145,607,958,793,594,
032,048,473,013,674,732,319,164,303,452,174,648,655,865,073,003,816,728,792,
104,484,056,861,861,032,057,267,516,758,152,486,082,257,207,902,223,374,768,
592,585,215,298,260,739,174,799,452,738,683,225,353,851,900,458,734,578,309,
246,474,131,642,587,706,931,249,742,245,038,988,099,072,217,822,085,898,020,
789,513,242,685,753,980,295,616,145,410,068,445,917,881,629,402,437,048,944,
942,937,485,271,337,046,636,625,816,887,160,216,976,111,956,687,418,302,260,
171,076,556,113,004,333,761,163,858,458,144,669,081,951,900,693,992,671,673,
788,711,875,638,984,475,821,204,931,101,891,605,872,076,309,371,054,791,096,
928,806,310,456,235,620,987,492,307,757,216,255,946,114,908,616,793,331,468,
366,990,524,620,487,664,276,887,899,890,848,936,044,550,877,347,823,638,909,
287,712,475,360,829,210,822,242,174,867,282,775,610,658,081,215,235,429,705,
407,679,789,854,734,765,277,843,270,401,593,880,675,719,227,931,056,686,460,
105,864,293,278,848,187,860,758,221,110,454,977,504,499,091,853,949,110,331,
657,201,301,714,302,450,634,020,819,811,579,067,763,645,975,350,282,771,417,
253,764,366,262,936,123,550,039,301,765,355,532,884,074,084,732,437,937,624,
211,685,347,880,460,893,070,885,117,596,990,529,440,801,546,831,866,711,835,
394,965,650,750,624,494,722,702,661,817,630,371,027,785,841,633,725,171,744,
914,278,981,611,607,127,939,571,707,613,000,464,583,027,447,782,278,807,526,
942,910,042,128,189,945,889,237,105,259,586,694,286,852,743,598,070,674,079,
839,425,327,568,865,157,823,223,376,508,608,689,096,500,022,637,707,676,189,
057,304,029,247,883,903,290,351,552,198,810,647,610,564,397,686,878,244,888,
539,617,642,231,869,700,121,439,225,144,555,890,177,595,679,066,349,333,435,
240,050,695,008,056,257,000,265,419,401,121,021,189,326,991,061,514,868,627,
532,201,308,343,583,690,634,596,515,169,106,678,032,045,062,692,879,642,008,
305,352,774,695,730,955,557,234,511,520,415,737,969,479,953,819,941,449,796,
487,100,742,655,653,122,936,588,380,819,298,070,374,317,016,099,213,670,935,
875,628,814,045,430,132,138,460,469,898,822,611,647,110,606,973,003,485,110,
769,066,930,209,517,078,351,708,733,433,825,892,716,901,267,573,759,660,711,
816,740,379,635,748,429,971,799,644,708,760,800,071,025,090,765,691,132,922,
109,659,529,388,882,591,741,030,318,558,852,756,159,297,852,273,823,485,212,
971,802,723,739,733,792,554,770,896,741,951,804,905,166,179,301,942,004,413,
175,603,234,504,978,033,513,943,987,094,086,036,958,149,732,476,978,035,205,
675,515,999,366,890,290,184,663,450,475,369,091,153,496,874,179,973,793,601,
834,257,518,186,499,229,979,600,454,589,761,650,234,325,964,558,586,682,901,
880,662,829,007,143,659,934,769,343,279,462,923,917,438,800,477,748,868,890,
482,940,466,376,686,253,927,286,331,810,533,993,704,798,556,288,688,563,000,
823,046,088,944,375,169,072,555,693,723,521,377,517,403,560,954,522,025,779,
109,840,476,511,852,604,566,913,348,309,439,000,108,024,995,849,711,009,465,
739,269,404,375,367,148,453,085,130,347,647,545,320,016,791,918,044,548,659,
807,030,358,020,759,480,709,398,131,564,396,199,352,631,549,918,695,837,116,
874,842,480,037,232,561,402,255,322,365,867,264,897,523,370,635,578,049,011,
880,149,733,005,582,575,955,140,788,993,261,966,704,820,213,835,812,235,283,
078,794,770,459,041,719,487,117,159,852,785,673,456,559,307,875,223,469,960,
034,521,603,913,870,775,595,395,837,458,057,729,174,887,412,823,016,778,138,
858,791,651,435,769,842,527,675,356,126,122,715,718,158,573,334,219,842,324,
889,145,021,181,617,563,975,918,511,789,090,648,048,222,364,349,834,249,521,
640,632,962,081,762,655,334,695,264,985,221,949,384,744,307,932,522,078,282,
276,512,770,849,891,154,266,092,941,438,631,432,446,552,545,626,956,425,605,
970,088,675,532,581,837,551,074,547,221,821,102,969,223,545,325,878,409,302,
617,193,453,028,727,652,716,328,313,002,386,510,742,731,128,922,258,998,147,
465,827,947,345,585,016,706,705,263,071,001,811,491,745,246,424,175,507,007,
417,863,799,548,443,596,028,674,801,662,019,904,960,906,988,378,657,084,351,
647,995,507,482,311,529,482,633,228,426,413,428,139,193,319,718,865,078,122,
292,975,061,432,241,649,586,339,434,208,197,875,159,101,094,705,180,030,924,
680,483,242,242,122,371,458,651,190,843,204,019,426,924,866,534,168,104,727,
957,391,614,698,927,836,787,166,373,585,638,693,162,121,882,146,517,556,501,
096,672,199,667,791,173,100,248,803,242,789,809,912,294,987,222,535,567,950,
675,681,194,927,827,573,963,475,526,039,113,220,669,673,278,998,321,680,826,
908,241,874,230,098,214,425,733,879,292,819,583,923,659,971,802,720,884,259,
998,753,459,400,608,599,164,519,896,705,909,434,085,788,074,020,919,486,979,
717,310,601,627,798,591,851,382,062,719,904,524,456,819,259,309,627,228,963,
215,804,289,379,503,167,806,903,740,443,164,690,082,913,731,930,218,114,173,
251,825,536,574,915,821,530,534,594,131,371,417,537,874,779,647,720,616,017,
354,472,770,508,908,475,748,385,526,864,747,946,728,411,640,351,236,378,025,
748,030,623,098,740,923,290,139,312,658,926,034,601,318,975,419,179,844,453,
599,723,618,887,741,089,653,334,747,887,331,114,041,947,472,373,258,392,918,
664,717,716,852,900,975,524,306,344,532,233,501,122,275,572,939,900,145,673,
406,600,381,312,804,733,356,581,687,434,854,231,251,122,957,070,849,083,632,
399,978,775,750,220,921,499,042,764,968,885,132,314,077,790,121,375,669,264,
154,510,753,953,395,447,479,050,164,339,443,150,821,729,810,833,190,907,805,
144,227,907,615,898,632,263,097,774,549,258,497,128,914,889,941,453,884,918,
221,359,439,151,233,873,148,754,796,473,940,951,709,685,489,465,038,644,724,
615,463,299,757,492,882,493,065,210,799,373,007,282,775,590,885,192,703,658,
415,396,063,885,855,601,648,468,972,046,668,176,241,961,994,711,673,261,958,
316,608,884,786,096,635,191,246,941,300,868,080,923,240,411,856,001,747,637,
197,076,154,027,880,108,078,024,078,769,712,163,086,678,891,445,717,944,624,
119,381,776,940,942,077,826,756,447,453,268,454,244,923,032,093,656,834,567,
469,271,958,303,038,087,322,349,295,313,828,111,131,571,419,519,895,107,847,
656,227,570,100,210,866,071,258,722,769,547,868,964,921,481,941,929,749,368,
642,823,963,394,261,381,367,009,397,645,172,796,741,950,189,739,885,252,755,
912,139,539,004,593,281,155,337,185,498,715,117,610,306,948,510,060,608,499,
464,824,201,555,926,095,463,460,435,437,170,781,813,004,054,281,258,966,169,
385,601,273,589,091,178,124,579,117,896,279,941,120,162,047,072,434,176,517,
815,892,458,870,431,850,573,908,146,246,714,463,847,227,373,433,874,985,776,
690,392,241,129,056,402,658,337,511,208,107,218,116,260,896,314,977,291,463,
805,656,726,292,962,603,910,557,645,563,564,016,795,610,832,050,881,418,956,
924,467,264,499,265,016,812,096,742,667,945,587,542,086,805,147,689,965,744,
392,748,457,415,207,827,321,777,717,884,439,147,925,092,393,882,470,322,646,
941,787,592,506,216,316,449,286,956,485,336,045,834,965,949,856,874,642,115,
534,129,001,038,050,603,031,081,965,144,197,943,493,203,398,201,968,220,413,
617,545,100,851,662,388,905,369,432,332,114,344,601,195,737,713,308,690,243,
963,579,823,414,447,750,215,041,287,209,106,468,601,724,308,451,793,762,948,
082,310,737,854,917,171,710,050,095,144,545,427,598,191,065,375,929,452,999,
676,626,771,897,539,988,189,224,985,337,302,604,011,566,482,426,862,112,481,
702,252,025,995,422,433,361,462,572,867,077,037,888,122,477,189,128,950,615,
418,143,679,739,736,182,817,761,994,079,261,708,644,485,864,211,689,019,124,
870,985,823,950,760,563,880,536,056,004,863,419,125,974,121,413,174,337,955,
118,717,891,843,063,646,795,613,091,178,307,989,568,715,833,206,662,590,466,
708,370,630,211,329,620,119,020,789,726,747,100,842,692,061,722,855,396,805,
858,551,432,062,944,246,722,961,237,501,664,557,870,010,740,880,082,437,049,
471,184,830,775,336,501,242,995,833,252,413,392,474,104,632,536,048,509,800,
225,730,730,308,357,761,372,073,812,153,409,193,311,715,954,096,812,532,054,
197,407,457,230,868,222,963,565,295,097,201,710,982,143,594,375,950,290,040,
843,133,604,577,806,262,004,387,944,220,381,359,962,025,116,737,394,225,752,
229,000,044,078,638,939,829,021,726,307,711,454,863,848,002,830,549,685,674,
128,881,033,664,498,003,937,878,482,737,104,022,406,731,203,496,708,004,099,
154,686,673,436,989,370,390,103,930,401,681,565,595,793,262,843,953,415,469,
867,474,889,404,531,555,576,115,819,185,532,520,067,516,250,569,756,174,610,
384,843,955,548,740,938,682,588,405,552,155,295,510,100,642,025,599,198,401,
769,642,941,020,441,996,196,873,658,669,467,340,983,770,364,389,870,145,786,
829,184,671,417,655,941,579,880,504,622,625,037,977,772,465,232,290,040,360,
564,939,560,550,879,157,247,749,292,243,820,761,908,727,001,525,815,847,218,
433,527,721,485,287,729,543,173,499,333,996,065,066,749,099,363,849,257,900,
691,914,368,944,992,405,609,309,813,176,693,639,776,228,914,323,864,447,309,
244,919,130,717,648,176,149,466,071,005,062,901,667,452,341,580,457,915,935,
521,170,624,964,343,492,575,846,770,663,319,305,289,336,629,179,089,050,350,
951,605,542,478,509,786,894,768,134,815,230,987,763,062,816,807,438,355,715,
853,552,405,416,292,773,856,972,302,191,016,193,123,397,598,720,660,059,329,
478,101,493,543,441,975,391,977,723,449,760,797,344,345,488,910,716,550,815,
745,168,114,220,804,605,706,073,620,924,569,542,638,360,342,539,215,274,670,
168,683,640,135,233,593,110,719,753,217,558,601,777,843,784,005,257,054,499,
663,104,684,059,921,584,287,441,962,069,806,986,488,305,357,056,906,559,292,
765,373,717,677,434,007,603,536,479,708,955,271,223,591,705,038,430,988,003,
093,780,179,986,485,974,095,339,518,954,024,058,322,442,352,543,788,821,251,
984,516,698,057,790,649,643,286,667,168,431,824,102,141,702,222,812,057,773,
030,091,746,717,756,667,802,487,704,725,417,441,151,222,028,096,546,604,392,
662,419,080,067,166,268,745,045,526,148,689,663,503,369,789,042,384,218,205,
818,662,111,280,965,364,146,364,763,085,358,298,123,496,094,595,377,272,790,
919,635,325,593,441,011,594,395,381,917,047,441,218,800,627,904,914,186,715,
292,887,699,010,479,602,923,580,998,227,055,180,555,325,737,815,880,284,035,
224,604,719,729,148,352,068,203,263,709,717,557,781,402,878,199,381,171,869,
108,331,223,235,303,879,853,457,642,541,017,258,155,626,338,460,619,143,713,
235,057,242,937,124,877,599,871,299,944,955,287,278,217,124,101,965,186,711,
063,776,405,300,746,734,535,201,646,796,723,372,276,586,559,560,312,902,959,
016,374,395,604,260,551,984,164,119,437,041,324,251,173,815,632,353,480,775,
448,745,994,421,082,531,069,687,289,005,880,358,383,591,112,125,785,333,539,
982,678,422,794,749,150,616,773,483,172,426,091,855,279,116,330,122,348,078,
064,011,843,288,124,701,230,151,985,198,274,844,580,826,320,945,665,356,596,
448,661,117,576,564,417,028,910,797,647,214,810,459,684,506,132,736,024,065,
541,494,462,539,981,489,708,012,979,823,742,453,367,198,891,088,462,276,696,
666,955,312,615,980,989,630,232,587,651,140,532,240,200,816,998,531,461,551,
668,496,611,662,612,910,524,475,001,135,009,033,364,885,258,039,328,310,671,
218,846,051,341,044,653,668,567,769,070,237,683,592,165,933,986,953,389,077,
276,942,806,138,332,077,540,189,828,683,238,627,945,744,576,437,654,207,652,
199,002,022,670,084,945,270,450,582,473,326,931,291,518,922,830,155,264,389,
552,814,950,443,993,471,886,565,697,259,050,158,961,735,766,538,226,762,855,
147,348,476,307,012,683,958,624,435,660,758,512,512,050,943,416,194,089,995,
447,050,322,619,498,600,839,348,067,625,400,649,320,444,364,638,968,776,956,
061,926,794,501,538,987,336,360,000,344,723,286,309,242,905,735,299,011,724,
374,844,570,941,138,291,397,121,255,938,205,266,675,154,163,729,723,852,533,
964,860,089,309,837,048,336,440,138,783,282,213,100,082,527,223,854,178,957,
949,424,428,577,546,145,926,757,282,554,299,642,671,347,533,830,738,586,175,
521,366,242,030,198,382,969,818,661,861,680,817,937,618,658,869,562,894,792,
123,152,781,990,390,508,318,138,086,243,574,256,348,934,220,905,483,729,719,
808,948,458,894,860,469,441,016,850,874,899,802,264,469,828,376,139,376,826,
130,717,173,175,731,367,709,822,143,454,535,572,415,954,608,440,740,758,293,
874,087,193,507,573,669,179,315,731,335,049,609,565,267,166,433,567,946,994,
697,603,482,588,560,626,961,746,544,684,411,903,294,538,895,773,906,432,983,
459,024,533,615,749,882,367,284,062,085,941,326,646,908,418,702,600,300,135,
589,381,258,887,713,755,778,949,628,716,985,888,832,068,811,364,107,867,723,
699,391,694,292,531,828,970,304,185,950,758,751,044,425,603,449,605,379,061,
684,660,137,812,736,661,142,770,842,029,775,587,880,822,832,792,908,749,805,
282,380,426,278,296,423,777,375,534,336,847,641,694,671,761,416,707,016,925,
474,959,008,593,654,620,011,244,260,017,779,466,208,099,463,380,580,545,149,
938,271,636,042,874,820,541,324,254,072,770,502,573,524,935,297,779,627,694,
748,713,505,628,249,671,931,727,486,194,032,748,555,071,689,349,533,670,763,
232,385,504,263,063,812,176,812,620,936,350,842,268,543,587,692,320,714,898,
084,467,198,884,262,458,494,017,904,931,916,936,119,714,327,609,708,958,971,
040,490,953,439,522,915,268,385,862,411,472,359,599,408,404,323,827,715,637,
411,968,414,150,344,276,122,785,844,426,240,917,160,044,069,794,126,933,039,
417,138,988,268,831,339,567,094,454,438,107,136,962,418,456,486,967,149,965,
855,459,190,503,028,829,650,604,263,735,362,031,790,151,286,911,115,649,341,
395,393,528,898,835,943,302,329,031,506,785,908,788,040,896,489,343,133,218,
551,557,839,358,287,550,582,385,612,996,024,404,877,719,284,301,858,336,546,
827,551,954,267,373,083,024,103,080,924,150,714,017,653,090,998,195,045,558,
548,355,136,899,327,227,306,765,999,522,787,588,906,202,743,917,284,574,163,
265,023,844,663,038,600,691,440,111,692,758,007,316,569,047,171,608,314,469,
823,851,818,343,777,056,996,877,770,041,078,458,886,207,843,177,160,194,494,
961,868,485,259,165,024,463,289,052,626,762,564,992,172,935,363,283,448,945,
313,562,505,008,230,835,582,143,490,287,587,123,764,069,608,542,715,057,576,
293,665,071,661,714,645,567,158,049,324,597,916,505,044,825,889,377,778,995,
273,794,506,406,829,497,700,038,611,996,445,082,057,408,720,462,148,069,000,
492,306,708,151,441,118,436,472,997,268,287,500,472,502,160,794,639,539,217,
030,929,052,197,427,577,216,383,763,076,169,764,702,517,540,387,695,171,848,
758,646,255,987,822,980,091,040,088,372,339,595,833,082,983,965,470,964,971,
118,161,978,904,156,733,068,898,243,977,454,808,475,436,100,778,316,392,940,
151,718,374,737,435,466,356,119,853,891,523,010,099,244,132,604,212,653,152,
598,932,053,184,051,801,963,255,587,394,306,269,257,123,461,662,229,045,132,
083,061,393,481,384,775,928,071,630,144,402,862,624,897,859,965,004,737,123,
346,719,050,679,879,904,671,101,264,374,638,950,618,802,912,216,783,596,945,
583,970,784,946,272,317,665,171,411,403,261,026,536,815,746,957,673,497,983,
872,418,242,310,813,217,057,009,126,725,149,850,132,659,559,666,189,441,934,
248,766,742,827,375,163,017,978,514,453,071,593,896,755,880,860,571,426,518,
935,115,663,264,929,567,936,866,216,362,350,814,192,929,425,991,060,317,765,
342,958,279,886,895,973,896,491,073,409,390,664,662,641,903,942,454,930,787,
678,627,357,947,786,994,003,105,168,017,209,178,429,560,577,719,154,745,188,
916,578,397,807,167,741,799,234,140,486,390,982,638,292,492,348,879,703,203,
944,012,651,175,812,528,532,413,899,037,779,885,893,848,015,084,171,471,228,
577,875,112,423,486,737,284,736,874,501,514,779,440,308,763,524,831,924,561,
736,558,073,527,782,358,641,708,873,863,565,459,284,354,017,014,878,029,836,
162,191,210,051,771,034,331,434,884,236,353,366,052,995,199,312,790,797,062,
093,344,370,300,181,711,480,566,039,696,655,177,035,393,367,236,253,016,571,
231,212,039,610,277,362,382,832,000,599,127,509,770,433,493,815,236,639,032,
983,699,408,080,175,621,221,304,257,976,557,470,329,656,770,179,360,868,898,
001,873,636,844,514,232,349,695,067,006,119,422,664,090,023,165,732,937,222,
484,588,760,617,637,190,104,468,254,681,348,358,187,760,956,484,890,283,399,
879,446,723,512,959,709,004,915,443,560,839,530,133,805,835,029,788,839,123,
471,914,189,501,871,821,501,516,879,733,826,400,707,860,667,763,439,777,274,
103,786,588,719,598,329,112,066,589,539,893,604,878,169,129,451,604,709,756,
329,565,360,572,757,339,235,923,779,324,922,112,071,120,149,316,236,224,209,
957,404,898,061,447,835,301,017,857,540,343,312,151,052,161,646,787,683,948,
047,207,770,062,570,530,776,036,996,140,312,398,420,838,990,885,207,220,666,
244,512,651,066,781,397,411,770,197,414,445,240,612,818,518,491,747,425,411,
978,902,434,155,501,000,951,222,252,627,472,949,494,626,108,789,356,228,165,
914,751,580,226,534,773,869,099,539,660,390,921,939,791,095,395,158,872,913,
553,528,932,487,193,567,194,029,707,008,687,234,047,673,644,110,108,498,382,
873,264,030,103,331,976,371,979,869,256,358,943,912,217,233,569,848,997,166,
157,769,057,090,602,021,282,170,516,953,153,715,139,192,347,132,110,112,585,
301,971,281,989,972,083,478,705,005,682,794,281,422,284,090,989,537,679,615,
053,072,832,950,780,359,388,585,074,261,544,308,305,580,249,339,996,174,012,
362,287,125,963,560,181,738,346,813,197,849,630,284,767,954,705,583,644,795,
429,194,439,954,516,628,953,422,747,485,593,256,958,039,101,240,495,793,996,
743,788,796,064,177,763,757,245,149,186,001,014,325,590,643,421,580,455,049,
838,773,502,921,975,671,979,234,518,201,430,499,698,404,384,666,270,720,011,
059,567,833,093,880,494,758,671,912,915,908,496,619,638,480,696,249,429,970,
807,800,198,470,434,971,140,639,109,369,804,517,487,742,274,758,878,332,920,
591,220,064,013,025,436,211,600,018,650,124,181,407,735,428,992,518,821,066,
996,200,000,499,829,483,048,361,853,356,818,831,396,597,918,885,487,117,914,
121,031,868,294,134,806,414,210,079,126,027,989,871,261,762,527,289,495,968,
196,552,486,245,713,173,927,779,831,459,950,675,728,195,528,675,485,379,843,
171,152,721,559,157,873,268,420,060,798,844,682,842,830,885,154,708,182,962,
418,814,962,503,317,635,634,606,032,654,784,049,514,767,277,264,753,538,957,
013,264,188,284,722,066,572,567,188,439,406,391,332,347,518,851,693,866,518,
392,452,240,458,542,246,208,940,225,622,722,649,711,232,244,173,856,084,754,
574,847,297,093,470,227,256,234,980,040,507,376,755,810,726,794,907,076,834,
506,001,868,628,672,505,175,518,526,984,420,494,715,729,893,578,447,181,414,
177,198,727,976,143,971,872,964,701,964,779,248,323,131,491,195,446,646,353,
270,576,992,959,539,726,880,193,433,851,991,370,790,559,867,180,019,924,454,
044,704,230,000,952,669,701,915,096,087,496,231,389,989,408,429,452,839,644,
486,363,381,881,056,311,100,190,925,197,403,774,977,301,317,281,736,791,232,
975,839,225,700,717,334,056,171,568,355,759,249,410,492,453,887,797,503,746,
395,333,462,430,429,502,338,744,280,441,812,284,614,286,531,661,048,411,242,
661,889,030,037,586,695,519,977,958,474,354,447,490,416,181,257,048,581,272,
793,638,435,763,464,495,241,295,232,054,313,354,040,704,513,006,781,162,190,
988,352,818,305,785,945,545,261,942,936,968,145,676,904,768,952,874,998,817,
472,326,148,610,975,660,900,355,647,600,626,980,140,795,760,989,059,567,901,
465,933,904,032,836,731,003,688,978,692,591,378,050,192,221,719,523,940,773,
441,580,062,353,084,892,245,075,316,133,278,561,663,184,644,164,851,526,432,
727,356,816,877,654,167,414,545,684,364,022,113,336,946,071,170,629,878,454,
679,068,075,866,413,428,368,732,425,820,083,952,813,568,520,661,313,781,650,
270,221,213,673,287,870,024,882,072,977,115,658,838,424,548,584,500,078,462,
485,571,003,776,933,967,161,838,587,096,303,121,848,757,258,732,555,132,214,
950,905,545,340,768,406,515,371,702,435,578,184,984,669,206,445,817,188,608,
696,978,443,112,559,085,903,359,650,660,723,353,551,948,119,056,130,687,476,
361,727,469,903,580,514,265,761,702,380,233,031,155,266,714,264,054,337,995,
109,059,427,283,664,772,060,814,834,369,958,408,881,188,434,683,534,494,026,
308,647,997,667,703,396,737,693,979,231,591,419,069,556,770,762,206,534,563,
164,277,082,667,780,787,816,279,568,726,835,226,206,950,984,588,693,074,669,
737,544,497,863,718,256,098,595,935,047,724,427,488,626,109,869,047,365,641,
443,910,414,600,801,945,053,571,170,382,196,372,130,015,516,303,256,882,212,
036,913,546,862,094,386,134,420,255,919,673,664,835,445,136,153,832,143,427,
115,540,988,154,951,027,919,317,436,689,374,098,933,863,940,103,254,842,596,
933,369,917,158,506,585,338,698,582,289,999,897,576,386,964,274,499,996,599,
339,115,799,139,615,382,272,637,743,666,358,777,466,313,736,042,132,635,107,
490,980,471,060,250,515,562,784,608,882,291,356,988,140,791,478,240,659,350,
498,429,964,750,544,013,411,550,501,240,307,125,511,785,523,586,232,548,983,
050,963,425,204,198,862,455,204,056,139,986,361,147,302,855,479,585,301,763,
142,211,101,731,847,565,289,910,490,016,737,555,640,971,658,115,496,748,823,
912,253,243,255,998,144,191,132,774,117,879,640,867,908,470,883,696,405,791,
408,109,986,071,009,891,449,644,617,525,110,978,051,909,529,766,504,466,280,
782,456,613,333,070,615,502,505,141,178,597,895,195,867,019,123,594,695,520,
276,306,732,974,240,512,554,040,688,139,316,668,176,819,368,423,733,192,972,
880,994,760,805,452,336,164,682,634,899,835,531,306,318,502,183,626,676,154,
554,319,866,556,686,966,392,249,337,165,085,633,767,750,579,615,981,150,612,
211,701,702,050,580,604,130,042,175,695,028,277,580,771,073,289,905,945,266,
921,039,070,939,767,452,562,974,871,442,559,672,944,150,858,056,735,137,081,
273,722,643,801,952,289,393,619,614,399,788,508,861,607,093,218,480,634,652,
829,035,014,764,031,921,295,805,808,992,003,244,819,093,453,858,592,453,696,
996,532,998,209,032,380,607,506,684,297,904,106,589,009,757,648,662,775,225,
830,894,950,841,142,303,149,392,920,854,335,859,773,921,225,964,627,962,622,
208,109,156,380,592,756,961,148,868,214,100,375,995,905,435,662,209,545,070,
904,102,360,056,116,326,669,241,201,057,017,058,581,939,701,608,373,526,958,
181,234,365,440,512,737,608,682,441,267,562,288,958,580,947,108,147,585,191,
068,750,956,499,645,616,920,207,381,570,142,127,042,523,886,745,529,598,700,
567,052,184,768,774,098,138,558,764,010,249,103,274,446,255,608,719,956,335,
678,391,872,970,509,531,529,353,059,899,151,305,718,114,489,135,138,893,676,
035,258,703,518,802,022,529,668,509,129,716,054,966,705,414,338,779,319,336,
541,340,599,327,777,332,219,404,461,959,932,753,181,317,456,863,900,112,639,
270,726,381,429,766,288,481,001,487,827,580,017,581,563,321,114,489,039,306,
371,583,227,697,269,922,833,266,471,891,518,230,757,816,820,597,670,453,205,
205,200,984,607,245,704,991,049,085,217,590,959,207,300,176,910,471,826,134,
142,236,895,329,092,685,090,935,255,192,758,858,327,537,039,665,411,455,385,
171,698,433,544,764,826,847,177,081,211,215,406,967,929,340,176,626,005,738,
567,064,629,336,380,128,303,551,310,905,040,641,928,097,650,477,447,534,141,
640,754,572,789,544,011,835,042,368,567,041,658,971,068,891,286,329,003,161,
329,155,965,571,607,253,803,373,153,122,414,099,089,525,015,943,506,394,564,
931,703,175,390,163,536,441,921,740,991,949,656,918,810,131,182,983,174,765,
347,552,751,076,488,484,147,972,082,647,551,751,096,292,985,422,559,888,813,
403,871,504,203,884,140,618,803,939,159,538,498,258,140,250,445,030,103,553,
874,589,834,051,282,496,536,733,843,370,701,725,103,531,411,620,068,814,416,
062,395,001,766,200,027,164,154,605,035,147,013,411,083,401,308,776,825,474,
041,169,852,734,090,733,754,847,984,997,375,694,403,948,047,196,507,617,278,
536,472,942,353,468,137,138,217,880,517,305,114,686,010,002,701,923,740,761,
527,677,629,061,961,516,314,463,828,201,069,631,577,570,347,839,356,176,391,
239,118,874,354,827,722,332,008,268,597,928,440,626,616,920,066,776,410,445,
789,807,187,558,435,203,529,510,536,603,897,778,676,553,388,543,106,357,235,
373,860,830,362,342,314,956,272,730,778,387,027,384,786,042,864,645,329,482,
757,880,465,301,886,749,578,916,472,489,221,216,784,743,002,505,844,448,864,
637,084,558,950,428,198,148,781,807,163,876,948,316,592,825,590,060,131,220,
734,529,549,194,915,308,321,439,835,427,034,906,931,611,155,127,174,409,598,
089,908,450,357,571,842,345,210,063,310,069,313,720,172,524,714,954,282,302,
541,929,996,442,781,587,100,991,703,568,833,760,304,945,076,462,235,602,963,
355,873,987,541,441,423,270,701,775,010,348,884,451,108,319,485,679,196,499,
176,406,032,240,128,921,286,714,691,317,917,382,057,589,143,869,382,867,100,
087,733,985,729,471,306,176,819,548,552,466,405,744,811,213,091,333,382,066,
815,792,149,632,168,795,873,957,837,608,705,093,465,275,700,516,038,596,916,
679,145,918,271,929,811,169,750,631,118,814,444,204,321,796,139,861,053,520,
759,313,590,682,864,753,606,643,283,502,152,639,692,516,552,897,883,697,539,
527,099,626,727,616,580,489,021,696,258,558,351,997,119,683,023,519,332,789,
714,665,498,205,808,811,086,167,340,300,308,196,708,401,627,300,392,182,488,
580,961,042,231,921,655,085,639,590,901,337,356,449,429,102,263,369,026,325,
242,194,514,822,819,251,611,110,150,073,872,291,439,312,059,130,698,784,431,
449,447,471,522,325,811,171,291,494,777,217,047,034,119,739,396,565,313,245,
341,932,860,843,080,914,732,324,623,658,398,033,610,978,332,381,728,890,555,
608,474,612,081,105,204,716,833,229,282,774,053,763,812,919,295,840,064,332,
979,179,001,949,310,691,074,474,283,418,299,109,816,056,982,454,495,627,742,
690,880,397,159,786,370,620,628,816,334,125,806,050,242,923,775,090,799,327,
377,902,351,518,820,579,516,528,426,891,261,326,830,175,429,136,419,660,335,
825,468,449,209,902,502,654,382,074,343,094,795,797,679,158,051,788,024,051,
276,607,422,995,182,940,558,666,558,731,404,836,517,028,843,506,571,072,936,
275,710,674,104,521,101,619,330,778,695,688,423,237,114,244,201,591,206,095,
817,135,350,877,088,497,236,947,978,076,311,172,657,114,709,230,355,154,296,
762,507,588,007,143,984,374,711,368,768,413,178,031,381,385,534,352,349,367,
101,925,452,589,372,871,471,304,393,186,212,265,371,137,357,450,639,349,993,
234,347,675,511,698,047,219,901,916,208,330,286,186,759,272,547,792,063,335,
105,914,907,798,145,869,891,860,994,869,801,214,526,680,849,974,654,843,939,
423,747,400,377,950,114,074,549,675,341,143,923,407,867,078,662,548,511,761,
004,748,327,483,747,538,459,649,098,918,137,631,794,602,639,099,023,004,418,
993,139,837,584,520,819,146,091,952,628,247,977,335,660,723,655,611,802,808,
420,780,162,070,685,170,550,262,712,660,842,364,234,029,528,553,678,437,866,
853,940,802,804,395,966,754,024,395,360,523,100,040,316,239,779,374,841,205,
454,945,518,542,245,168,185,930,880,827,790,939,573,662,172,104,661,778,483,
392,794,426,768,580,649,534,294,474,530,711,272,126,029,558,351,714,296,284,
877,557,451,903,328,643,500,703,086,436,345,251,074,910,966,996,252,280,967,
130,357,520,765,257,442,343,431,488,096,110,165,274,973,362,414,861,482,929,
599,470,605,741,219,679,789,752,247,821,946,349,166,000,056,899,842,442,261,
100,946,546,219,422,840,229,039,933,078,130,259,203,238,546,006,561,408,602,
264,251,574,668,756,600,731,081,976,161,819,240,752,175,803,095,607,883,222,
670,051,751,426,452,934,047,931,506,256,443,711,026,447,842,627,859,758,028,
193,306,407,111,478,082,970,573,513,923,952,646,901,658,114,462,959,474,367,
327,997,919,199,870,511,015,564,437,366,981,971,036,262,741,604,705,988,363,
027,362,025,943,806,443,671,275,491,739,967,659,485,061,777,579,900,757,647,
380,847,039,366,679,222,784,681,942,492,747,909,857,308,912,170,561,508,463,
876,365,323,310,504,578,304,896,332,221,991,998,052,937,279,681,515,718,519,
530,200,901,623,741,808,851,839,450,254,656,311,807,078,799,707,562,780,951,
506,449,620,522,924,861,281,890,706,907,550,067,362,673,479,351,687,029,709,
998,127,351,299,849,577,503,228,339,578,605,591,823,611,652,791,295,625,529,
084,871,716,689,455,799,715,433,991,418,699,621,854,601,524,131,327,314,282,
036,079,472,580,349,267,744,937,699,159,679,460,350,037,776,678,889,760,456,
701,647,313,743,937,250,542,683,635,918,847,607,960,738,130,787,237,935,653,
997,802,472,751,481,140,258,248,057,704,666,543,123,043,927,036,191,168,672,
385,915,536,368,630,026,601,472,903,258,147,848,247,086,773,695,395,374,524,
230,664,211,050,039,015,682,897,950,908,027,441,185,249,099,259,142,799,789,
326,214,448,676,472,626,905,960,635,236,497,828,903,049,496,586,888,164,017,
647,816,352,128,000,188,031,280,232,566,897,640,805,851,742,413,829,006,878,
313,246,786,977,689,426,743,224,467,555,103,752,744,122,311,921,639,536,924,
904,249,443,896,274,950,101,202,879,691,201,738,020,554,145,802,461,581,498,
879,681,698,628,905,646,332,262,064,975,224,963,087,461,558,281,440,866,799,
079,955,208,351,113,820,470,036,775,999,987,582,250,413,310,099,195,569,487,
752,226,345,099,721,811,427,982,903,147,642,022,131,718,903,721,824,364,227,
158,777,781,517,721,033,112,322,498,003,977,556,824,907,812,982,020,679,419,
429,884,250,689,177,440,938,141,409,927,222,793,549,186,375,064,358,446,160,
876,283,049,257,001,615,300,269,951,949,028,634,798,332,731,520,771,241,793,
693,932,699,406,775,811,023,228,828,319,100,428,607,306,056,455,653,225,861,
702,432,412,802,957,599,117,972,088,455,674,218,041,219,871,836,136,525,412,
238,782,141,000,117,568,065,560,496,924,000,857,852,648,498,956,512,231,299,
054,762,142,733,585,939,417,224,521,738,670,183,724,129,229,486,691,979,623,
255,544,346,172,371,930,132,353,467,793,418,507,299,067,473,210,755,041,059,
795,452,472,722,405,998,304,193,591,740,590,857,098,715,746,164,970,509,991,
260,844,348,423,203,652,514,327,732,461,467,295,137,779,120,449,773,956,210,
876,490,353,490,696,715,345,525,481,743,441,435,025,017,061,569,158,061,123,
549,019,922,377,233,056,224,699,976,840,809,135,922,469,500,080,510,584,103,
663,189,167,052,883,818,022,932,097,475,799,394,800,533,395,988,375,825,699,
737,545,910,608,481,699,087,301,537,365,556,248,476,412,413,986,343,905,274,
895,911,635,296,383,304,202,822,264,719,144,401,261,477,530,673,219,774,284,
225,558,004,843,492,506,307,316,690,877,532,373,944,931,887,315,174,510,218,
685,496,484,675,862,470,603,908,689,181,396,959,062,687,281,875,474,115,367,
035,782,199,832,795,323,580,561,378,766,789,942,333,149,816,658,747,098,918,
091,845,032,123,565,278,538,049,526,999,951,526,066,394,816,640,024,026,522,
347,210,152,878,689,037,695,195,001,494,445,121,020,829,261,132,450,754,072,
566,381,439,499,150,103,921,821,558,987,978,939,460,608,684,938,666,036,295,
815,871,231,623,066,594,970,208,595,189,578,801,012,316,663,088,329,575,212,
940,672,849,138,264,810,444,814,950,482,162,532,525,562,857,195,301,589,140,
994,706,717,170,714,332,697,049,250,235,493,323,568,298,994,276,133,313,738,
490,658,325,868,109,058,967,336,725,105,342,965,723,192,581,562,566,464,986,
095,242,355,424,877,739,725,173,692,762,222,314,443,766,737,845,113,704,766,
422,888,621,030,951,750,784,727,875,427,462,391,005,195,210,193,713,502,142,
053,074,377,425,433,474,685,710,566,187,999,382,107,233,342,121,263,233,197,
669,359,943,781,183,256,011,797,252,361,265,619,789,660,042,635,730,054,309,
123,869,991,119,315,686,142,730,618,704,731,088,111,895,315,068,041,559,562,
937,623,386,756,553,466,048,401,021,272,402,424,314,548,993,924,026,927,202,
481,516,525,812,045,070,080,657,501,845,272,695,930,517,165,361,316,489,957,
703,588,987,172,981,439,949,855,072,424,738,129,821,959,940,992,343,682,642,
479,153,387,653,599,214,906,034,272,741,154,480,835,136,464,519,488,118,091,
637,889,161,064,554,826,789,239,453,747,146,506,296,670,523,774,386,947,371,
823,151,216,933,091,676,748,910,200,257,302,077,902,857,336,062,938,256,951,
923,544,397,047,872,875,573,207,474,792,721,051,179,796,824,167,490,084,515,
595,275,063,285,011,024,344,794,374,738,823,326,656,772,224,318,384,089,765,
664,152,260,143,330,492,709,802,822,489,834,041,989,085,031,783,535,166,896,
372,205,277,720,318,882,221,605,553,097,675,292,841,509,887,000,137,703,547,
410,947,880,259,711,411,493,154,331,998,721,634,606,374,364,459,811,252,374,
716,751,150,126,326,752,035,861,185,474,303,095,411,315,743,993,670,353,073,
307,628,635,792,959,145,455,254,959,852,229,741,488,650,176,754,401,687,523,
063,020,429,898,530,659,562,417,655,353,425,958,800,539,354,864,613,100,950,
430,715,083,778,969,883,428,240,695,444,830,581,827,343,880,767,686,974,873,
009,608,038,296,265,891,967,660,002,048,919,801,445,003,656,146,320,997,292,
729,411,109,868,775,946,386,912,290,683,935,832,867,715,769,808,841,624,840,
488,000,890,090,199,547,314,491,066,935,681,253,247,848,173,754,938,952,257,
779,007,178,746,251,055,494,816,749,334,431,217,787,798,099,330,426,080,636,
768,653,468,415,875,144,182,805,650,249,728,220,258,785,373,333,311,053,582,
894,122,913,279,420,914,320,416,493,964,685,494,700,042,080,362,318,607,898,
444,629,507,587,363,097,889,201,340,404,114,522,624,239,950,839,327,440,595,
039,200,586,297,278,480,289,980,315,105,227,729,239,539,553,590,046,611,105,
484,518,841,703,242,024,903,049,976,164,358,835,664,998,438,624,074,562,490,
826,486,242,671,415,478,649,037,232,470,477,211,633,737,357,786,659,624,122,
632,752,691,905,207,451,268,133,770,685,248,455,372,519,991,137,575,077,262,
613,066,906,891,557,434,275,785,613,433,978,629,781,253,420,253,155,059,803,
697,341,242,978,966,754,242,539,739,741,859,716,718,679,705,989,976,162,633,
729,928,246,636,432,482,898,065,041,251,670,406,588,207,330,539,520,668,443,
642,921,552,486,122,826,291,027,553,394,336,490,440,752,855,489,614,502,279,
164,058,861,083,579,231,977,224,658,891,942,190,960,599,225,177,595,745,598,
056,727,531,524,136,152,784,356,647,294,310,675,663,416,987,386,533,404,377,
163,019,034,911,145,996,771,020,301,268,415,097,148,392,012,253,550,961,554,
003,486,017,867,728,156,430,113,158,392,030,397,974,015,510,601,684,892,614,
582,563,941,959,085,469,704,427,373,104,099,424,019,584,317,686,747,187,909,
241,993,449,955,670,530,500,974,422,372,198,660,709,996,019,662,335,398,029,
781,440,554,728,448,700,217,106,595,025,142,685,951,491,362,483,462,962,838,
723,414,750,451,836,000,188,046,448,721,678,695,119,936,672,142,181,304,205,
747,611,674,336,334,704,560,355,170,699,927,762,820,430,645,713,292,062,168,
185,259,759,215,876,565,930,871,533,481,825,056,165,870,723,849,565,538,003,
016,869,292,870,058,383,350,271,507,862,058,952,729,038,509,068,777,471,007,
258,031,042,272,349,246,615,654,106,894,680,048,233,507,718,248,960,469,665,
268,330,454,187,387,020,406,269,918,912,046,404,437,457,770,136,472,489,720,
640,160,976,345,907,444,138,141,122,215,961,677,428,105,745,107,210,573,179,
049,949,850,210,218,855,559,862,156,484,795,470,585,299,213,949,276,195,155,
112,193,025,820,228,679,839,469,617,627,061,298,982,788,583,697,450,269,961,
765,584,840,140,698,601,134,319,053,154,758,687,817,041,392,295,060,469,332,
239,808,715,094,330,930,988,477,252,069,270,699,176,986,666,533,802,671,549,
608,548,713,236,660,185,956,441,680,856,509,704,242,235,548,067,090,338,296,
682,149,920,825,815,601,432,094,801,038,329,084,562,261,798,743,679,291,253,
676,665,681,566,175,519,701,747,147,104,130,752,673,071,854,176,705,417,968,
873,848,212,757,677,576,446,424,135,830,404,567,365,993,317,787,495,079,463,
486,103,503,567,097,258,585,279,484,598,045,157,288,232,137,795,587,106,076,
135,637,602,154,662,234,529,747,360,654,860,536,515,752,780,587,092,513,923,
486,948,376,918,811,024,335,525,223,240,397,507,028,595,024,011,115,864,305,
028,833,654,264,414,885,530,189,258,641,715,324,884,154,003,596,469,116,244,
299,777,448,414,476,383,728,226,433,893,970,365,927,745,051,171,475,409,875,
526,354,817,983,063,535,434,247,637,553,850,260,148,970,795,591,296,189,677,
416,837,192,077,140,091,308,649,990,046,823,955,594,021,853,522,833,698,699,
149,292,972,293,021,625,256,012,858,218,951,974,146,407,072,699,532,416,456,
347,245,998,960,695,222,763,016,706,143,360,335,134,328,900,650,805,750,679,
919,661,988,630,246,924,449,399,616,182,370,478,222,334,750,242,335,161,921,
622,207,271,878,572,787,433,131,519,251,695,168,282,833,525,773,408,110,414,
429,250,572,997,860,343,019,656,389,129,247,882,826,840,750,683,121,051,564,
011,524,800,144,255,522,647,924,873,624,196,172,409,400,282,351,799,976,673,
811,489,478,170,741,573,243,695,146,979,981,907,918,928,468,569,871,244,619,
484,188,084,079,975,738,061,592,986,233,533,522,325,345,852,700,019,446,356,
923,703,725,148,698,793,225,214,394,969,070,872,825,754,999,347,654,368,231,
528,274,259,580,460,977,826,812,319,838,211,459,100,572,035,856,290,276,415,
062,965,767,070,889,295,586,760,035,582,813,005,256,516,304,894,913,946,095,
313,045,139,558,290,594,131,495,187,138,776,676,524,229,572,799,272,790,308,
440,707,526,873,754,349,602,092,202,408,590,613,909,144,277,765,576,224,610,
180,750,230,179,046,630,868,202,038,637,324,613,726,771,351,903,972,812,871,
274,987,834,805,034,545,989,228,115,530,106,571,298,766,061,338,247,448,458,
810,438,618,282,654,914,775,109,760,653,640,064,127,871,921,911,669,032,713,
461,945,663,314,575,766,907,928,694,001,642,496,272,323,486,171,000,416,846,
451,052,665,357,420,286,338,015,577,834,424,568,717,082,882,037,042,918,428,
705,467,917,376,345,203,042,127,174,785,682,528,913,244,680,161,278,314,233,
673,639,862,284,040,470,239,207,274,018,360,961,850,366,001,469,048,822,909,
688,062,674,489,242,486,039,557,219,425,413,557,298,110,084,511,193,746,305,
446,777,970,389,102,972,330,209,387,414,932,419,563,062,509,507,374,668,342,
278,437,468,197,822,875,306,975,688,664,446,393,201,753,679,066,067,891,830,
246,391,765,990,162,309,364,102,826,891,075,073,157,922,862,653,867,720,921,
070,454,001,490,509,141,907,177,843,041,142,051,442,108,535,616,204,085,406,
736,966,290,030,681,042,472,977,536,360,363,139,143,175,386,572,712,281,695,
883,325,645,162,966,474,781,175,267,170,235,866,920,752,340,363,979,357,310,
226,817,286,476,912,225,884,006,609,070,528,782,509,183,708,417,696,096,249,
626,360,539,367,897,087,266,037,213,003,015,590,988,851,936,044,977,788,000,
195,477,215,050,617,744,596,221,846,118,834,177,351,462,681,925,514,026,056,
600,527,045,180,137,408,106,998,432,116,240,887,583,733,378,079,375,078,470,
003,753,575,342,657,072,275,703,065,265,848,838,923,593,273,696,044,603,186,
899,491,423,654,378,257,130,482,212,075,797,807,916,684,938,455,157,764,438,
095,512,147,062,857,662,664,639,984,426,749,005,786,489,402,257,267,821,347,
977,475,261,635,539,458,292,633,320,105,435,713,250,385,707,449,928,241,850,
046,682,801,213,579,901,593,729,687,590,203,712,307,944,808,935,463,463,925,
618,927,671,936,878,966,192,523,930,388,647,931,653,904,243,319,405,522,076,
414,791,003,474,026,374,033,981,672,864,882,725,142,187,966,759,321,937,841,
611,660,214,427,107,584,486,890,374,918,254,181,858,304,724,817,981,331,881,
224,694,629,712,482,607,916,880,872,777,791,376,192,581,482,062,431,714,400,
423,422,593,616,200,519,607,385,058,410,009,637,145,347,441,117,733,996,041,
869,154,295,982,825,594,904,956,005,110,665,970,753,795,421,376,699,108,714,
925,564,070,043,637,747,729,699,314,848,731,085,515,225,239,699,436,997,957,
612,863,620,196,670,673,212,192,256,315,268,480,493,947,688,825,626,253,668,
757,944,886,049,205,132,085,327,232,392,942,153,902,636,807,074,406,577,735,
360,820,641,767,508,137,133,686,640,787,574,398,041,202,056,375,171,299,694,
143,436,958,938,114,333,059,248,655,941,954,147,517,860,861,399,078,930,763,
361,187,590,228,678,011,164,498,332,804,586,835,014,092,571,198,202,809,332,
483,538,584,544,759,287,218,279,185,161,375,341,544,535,284,083,890,885,172,
501,318,128,244,096,098,009,867,038,562,350,357,785,317,697,831,198,451,576,
913,582,100,459,939,123,934,847,284,782,555,314,995,069,552,878,372,238,862,
379,462,100,314,783,158,933,505,305,556,039,044,775,945,879,632,063,261,342,
538,597,268,348,982,642,635,075,348,806,905,881,051,363,451,166,387,490,810,
867,731,570,373,229,942,377,933,615,390,041,610,869,227,038,029,293,642,539,
164,515,261,942,789,758,536,163,529,984,051,937,185,443,468,893,130,119,192,
826,105,925,273,485,767,722,012,951,911,013,874,186,396,167,629,408,875,522,
554,400,318,317,482,133,876,656,258,452,163,198,801,477,358,562,124,719,154,
996,270,955,159,727,466,347,332,758,737,489,836,174,989,083,215,140,094,658,
200,128,941,634,314,113,500,854,900,441,774,720,042,778,644,834,620,146,348,
263,575,397,088,116,460,124,213,196,373,866,260,956,322,451,979,547,961,914,
002,715,892,723,206,932,593,989,447,502,004,706,708,232,035,861,366,846,611,
570,818,663,825,811,278,564,238,595,805,869,652,126,866,238,164,446,770,210,
603,669,093,262,605,792,674,349,385,237,366,742,979,628,065,790,635,860,350,
339,495,290,657,767,884,493,345,065,630,227,780,272,148,009,539,326,515,472,
419,373,421,414,354,682,030,255,128,012,214,888,936,218,099,940,267,391,565,
084,898,738,518,210,415,946,810,278,453,326,204,037,027,538,111,357,980,797,
274,502,386,202,961,808,776,323,347,134,100,275,976,341,400,091,427,196,244,
517,875,768,717,942,712,406,099,646,750,199,365,368,086,761,156,053,287,531,
067,891,714,739,282,751,803,165,043,221,827,937,860,369,544,471,012,551,396,
806,190,995,058,715,462,364,004,891,542,060,272,574,914,019,853,036,181,365,
850,496,003,403,352,344,122,368,981,772,996,951,336,599,872,994,066,241,781,
887,553,182,208,141,210,244,449,361,897,475,735,878,820,060,455,551,096,024,
664,640,797,573,001,032,083,748,944,905,219,511,492,317,596,288,087,847,001,
479,531,441,485,399,172,179,392,497,619,177,310,958,136,276,274,530,820,047,
335,256,569,822,950,460,858,978,943,373,382,689,760,115,518,258,560,179,758,
220,349,294,989,422,153,391,701,602,194,715,830,885,367,303,386,145,016,642,
604,797,179,647,607,529,916,885,479,294,752,316,308,204,140,707,113,455,773,
909,477,805,583,176,360,323,912,323,993,875,082,837,682,322,517,972,082,506,
016,424,244,356,274,943,972,851,712,329,564,893,272,490,208,231,262,381,723,
967,082,567,975,407,548,098,840,600,282,040,317,778,921,184,488,537,455,827,
985,461,159,664,492,387,313,046,018,846,805,938,570,166,061,101,141,124,868,
069,235,270,528,984,831,369,233,049,060,234,101,163,194,091,640,455,827,148,
134,858,277,557,325,173,481,749,213,064,979,400,992,492,690,605,122,419,635,
245,931,112,798,097,027,469,952,796,357,010,203,944,950,944,267,684,811,073,
679,689,788,818,310,233,120,001,057,059,527,956,964,174,180,442,243,138,290,
378,855,861,108,205,254,223,948,144,135,079,277,473,330,975,622,975,302,693,
789,468,782,519,577,194,714,021,180,328,187,737,224,845,719,263,367,968,252,
094,303,422,800,015,276,547,630,509,468,828,936,551,257,063,577,752,047,279,
535,476,923,473,214,718,802,007,262,596,869,356,027,248,688,160,746,344,654,
627,245,894,097,501,956,388,776,976,750,476,290,969,625,076,306,021,206,424,
367,142,700,140,257,214,518,221,053,813,486,021,744,552,279,142,539,828,364,
518,352,974,541,426,140,781,842,271,598,846,831,074,499,531,066,222,834,096,
510,752,936,658,344,539,673,300,596,432,932,787,875,006,708,087,940,068,595,
410,461,109,904,395,682,884,910,475,871,591,881,334,487,240,815,735,115,122,
044,776,443,955,012,824,697,293,348,368,034,749,230,796,272,196,257,600,599,
014,073,282,283,276,919,301,893,111,066,815,784,967,538,708,292,308,455,488,
319,051,478,098,710,212,627,039,614,230,868,958,263,197,211,348,498,567,887,
551,128,615,940,769,051,343,517,426,831,918,319,697,641,133,296,622,907,457,
870,250,316,772,545,516,086,963,634,325,877,870,847,671,809,348,789,327,568,
750,981,825,092,826,654,790,061,940,792,672,879,010,894,795,482,183,346,727,
851,262,817,766,788,617,903,968,703,521,941,054,057,379,856,530,560,803,280,
815,878,400,914,915,661,474,476,181,308,992,075,699,662,998,581,456,045,374,
184,638,575,011,783,482,403,142,313,446,256,093,706,994,563,330,953,546,228,
380,336,253,607,159,220,444,111,380,320,856,150,561,015,257,482,089,046,168,
007,070,516,796,886,557,701,067,044,255,214,533,215,255,616,741,151,151,777,
844,741,662,585,748,435,481,566,497,124,331,944,462,241,560,013,801,151,025,
679,087,431,454,199,286,732,628,100,617,331,752,484,176,006,160,086,457,804,
548,660,453,560,372,618,055,013,201,385,034,992,272,971,462,583,599,560,507,
587,078,621,682,882,108,349,788,622,249,578,140,314,238,175,410,745,158,636,
825,320,040,124,328,062,904,613,245,932,273,570,766,458,922,092,272,225,822,
229,490,239,708,104,916,604,144,163,431,865,787,932,551,295,533,133,373,325,
660,902,569,286,001,789,743,145,036,955,161,826,607,872,858,340,230,128,002,
447,091,442,608,374,157,082,528,687,657,485,023,463,224,956,021,387,965,432,
985,274,865,039,646,146,691,321,113,965,767,196,074,670,991,648,588,773,213,
971,601,353,975,887,783,073,423,802,447,943,895,666,806,772,400,352,431,706,
174,962,044,712,141,781,420,663,222,289,187,540,374,133,338,200,636,872,352,
167,392,677,850,767,391,588,140,349,930,813,631,969,798,023,445,638,901,477,
692,535,405,629,056,011,609,890,248,164,813,119,492,945,660,315,629,798,087,
344,823,374,301,914,474,956,052,918,310,053,586,485,076,158,145,365,216,063,
185,755,904,857,353,322,999,453,322,829,845,459,459,070,675,194,288,649,939,
664,028,392,396,162,429,388,802,050,793,216,839,808,547,472,204,815,115,152,
199,609,038,812,946,479,499,237,605,337,833,289,914,456,138,713,822,448,034,
921,816,017,791,482,597,975,789,159,599,400,522,075,822,478,495,566,267,348,
747,398,820,262,614,687,587,683,997,877,532,303,418,925,340,420,469,382,671,
729,081,113,751,735,941,330,621,564,376,893,293,414,555,480,629,286,832,470,
612,015,945,418,748,734,773,879,295,055,645,054,885,385,927,158,256,289,724,
414,732,275,066,371,720,672,577,882,646,476,074,362,933,931,709,792,306,380,
996,137,791,433,928,912,175,733,175,938,005,453,255,516,691,808,442,336,869,
366,792,859,997,145,973,958,122,944,986,523,732,677,382,689,065,246,359,031,
748,941,268,383,329,430,674,930,418,442,335,866,409,581,329,258,903,334,201,
037,791,929,990,789,573,069,607,362,649,114,140,484,538,820,769,377,977,156,
778,712,712,641,825,300,915,347,145,251,345,517,336,025,330,140,899,214,197,
948,419,811,202,707,457,311,154,577,629,571,386,350,665,356,871,646,140,062,
949,583,754,997,938,307,721,178,071,073,471,041,793,094,493,793,598,188,174,
408,394,625,755,530,696,003,123,050,166,753,370,907,025,083,920,452,362,547,
899,678,513,354,993,197,814,721,739,265,886,459,222,664,883,942,126,369,718,
879,802,012,639,941,079,691,821,570,621,163,060,579,917,405,399,444,715,081,
013,112,381,126,487,406,840,716,374,856,378,744,846,138,424,611,869,773,853,
114,114,013,629,691,316,281,377,606,959,234,191,509,520,141,155,922,059,107,
323,091,580,645,351,593,385,446,818,495,515,737,753,975,465,645,382,186,947,
869,292,238,471,090,303,718,299,873,335,239,038,736,323,605,715,674,072,801,
794,034,415,997,226,352,072,651,500,671,772,947,281,346,222,108,073,410,436,
197,331,589,318,903,926,499,298,103,316,649,203,920,519,271,128,215,936,704,
736,903,543,731,675,049,608,768,844,676,651,340,150,265,571,353,782,326,866,
569,229,701,360,151,296,842,217,960,318,032,028,787,416,530,320,442,619,406,
234,108,519,107,690,926,204,071,934,256,250,961,412,031,357,187,634,873,870,
818,256,095,757,231,939,103,000,931,903,649,875,829,022,699,809,410,634,809,
121,919,313,096,012,839,841,699,719,489,828,827,976,749,319,704,802,810,199,
877,625,436,999,104,371,567,616,084,265,330,198,068,348,167,300,262,395,690,
689,577,213,803,039,350,913,426,954,877,939,574,043,659,522,219,215,904,788,
598,809,331,062,065,253,292,509,004,287,538,184,158,796,530,316,443,283,630,
767,547,469,134,219,421,169,756,926,438,546,748,375,478,912,924,726,610,245,
626,320,969,166,562,870,079,059,447,235,961,415,534,825,642,260,342,386,758,
474,763,051,900,596,344,686,520,116,372,181,646,664,792,889,870,015,928,028,
618,959,778,002,656,968,397,719,912,407,962,192,527,731,537,345,640,698,171,
712,780,999,580,993,660,063,008,347,275,772,095,887,578,323,965,186,756,365,
564,642,795,663,222,970,965,243,097,330,761,718,145,879,618,687,577,646,477,
977,288,750,956,302,497,071,671,895,096,813,688,219,768,677,878,739,698,855,
598,137,512,634,215,338,132,893,081,451,819,907,088,470,407,236,736,011,595,
194,553,515,546,332,321,630,705,264,448,878,295,001,289,297,712,098,342,848,
924,985,824,854,435,518,628,034,171,228,942,513,610,762,760,078,167,239,734,
722,527,448,207,046,105,156,478,426,414,716,044,878,540,730,010,371,133,661,
105,821,601,975,289,158,436,931,098,383,627,775,005,829,933,449,343,077,774,
685,637,208,775,211,927,971,237,562,433,903,425,095,645,736,678,893,673,952,
794,345,121,261,334,614,825,809,432,297,232,739,132,671,600,537,996,428,141,
601,069,557,403,778,383,615,336,236,381,693,485,289,682,406,600,681,363,479,
896,750,262,088,390,245,573,546,286,366,734,654,000,975,254,672,983,110,264,
207,546,988,997,517,844,240,101,214,151,401,859,206,250,180,612,936,384,665,
583,114,217,422,106,407,907,706,255,756,560,019,299,850,438,068,005,357,650,
080,964,108,531,317,896,576,460,903,586,555,383,320,610,178,077,002,841,594,
586,093,323,667,377,418,706,303,117,601,570,596,917,636,463,879,559,199,122,
036,829,840,915,990,659,285,335,950,151,833,031,837,533,468,876,146,432,501,
635,181,596,931,564,263,374,665,605,034,338,509,698,778,693,055,539,335,814,
082,989,000,799,667,669,007,820,617,248,322,924,299,290,708,922,915,133,784,
533,647,852,381,973,201,178,139,422,712,652,815,694,843,174,223,064,431,032,
506,550,311,300,589,353,398,171,478,372,402,101,352,103,881,221,853,764,277,
938,314,837,410,319,462,094,302,570,576,958,919,341,505,352,910,147,125,103,
559,763,318,238,681,402,725,279,130,349,219,003,796,941,977,825,255,543,443,
510,157,976,654,025,580,224,292,267,101,684,342,061,687,484,464,597,484,758,
843,050,900,669,256,438,267,003,705,781,473,214,798,665,085,827,146,372,080,
003,275,934,728,928,766,621,607,551,113,281,711,331,910,124,508,073,801,884,
982,925,002,417,169,278,819,035,541,708,073,808,715,708,280,315,937,544,160,
809,149,215,300,028,088,500,328,131,953,336,940,668,219,396,431,203,396,926,
216,360,481,039,396,703,259,667,998,871,678,879,311,348,624,578,453,847,138,
209,786,674,363,096,727,185,341,353,371,210,800,566,872,515,585,299,298,697,
839,618,751,046,250,645,388,343,024,093,823,513,284,233,239,613,534,682,735,
769,829,948,902,316,232,787,616,638,732,082,850,867,692,040,228,665,358,480,
005,949,346,297,243,604,268,365,720,087,407,727,218,662,513,698,522,601,402,
605,649,635,951,606,264,030,954,090,878,513,972,048,112,237,889,777,871,192,
856,933,216,190,314,147,718,812,967,654,122,444,972,573,197,936,209,874,832,
045,935,149,569,948,184,555,351,961,915,181,495,801,219,097,399,396,276,052,
935,280,284,833,851,063,557,821,456,173,985,223,879,306,413,524,955,104,456,
770,461,389,164,742,603,794,875,935,802,113,222,930,798,859,324,780,762,496,
823,824,192,927,586,967,132,551,222,068,858,667,691,517,255,978,579,820,697,
362,137,197,111,571,013,638,436,200,209,772,052,569,710,763,043,006,753,517,
298,313,194,964,507,807,454,511,196,983,119,568,162,493,957,031,989,894,024,
433,426,401,612,286,280,586,815,576,456,628,772,202,476,967,019,411,528,961,
477,197,586,303,280,998,793,741,762,507,871,510,219,893,556,096,732,331,465,
465,927,708,519,332,370,353,849,765,958,920,592,731,047,311,580,005,957,488,
942,197,430,877,566,448,087,529,818,202,409,152,112,672,671,310,870,518,495,
776,156,456,411,314,022,211,673,302,046,690,212,839,742,516,238,198,579,242,
125,559,446,853,437,535,295,862,423,342,153,115,742,252,608,781,997,716,447,
831,416,627,970,861,727,332,838,519,167,631,946,987,518,775,552,107,247,505,
215,293,144,408,891,962,025,229,576,134,108,063,887,548,738,687,334,675,140,
040,059,334,418,745,694,736,372,317,574,892,673,760,023,351,919,516,883,412,
997,238,431,899,398,450,772,018,682,703,958,336,580,926,769,449,590,276,449,
547,099,529,993,104,890,102,266,467,312,741,510,341,662,832,222,591,430,002,
159,550,778,353,055,022,332,336,598,372,681,532,276,133,978,103,988,136,448,
917,253,685,192,963,126,807,785,017,197,566,871,779,665,802,356,725,952,611,
560,056,025,195,779,475,070,992,546,731,448,417,476,966,911,815,564,614,385,
870,197,592,301,958,987,508,871,879,663,101,196,399,601,753,599,619,177,189,
483,737,699,975,542,273,703,215,406,220,388,056,263,565,790,135,771,587,050,
815,770,242,191,893,956,198,911,730,035,095,586,561,852,967,377,361,804,109,
813,104,245,223,156,195,194,537,671,706,548,988,139,481,848,819,261,985,492,
398,063,877,460,877,747,806,018,598,083,266,800,592,903,368,571,393,473,186,
054,815,715,374,437,682,047,613,891,786,176,097,342,673,130,697,717,597,211,
441,600,321,808,715,876,774,759,804,991,096,830,828,789,205,758,935,969,577,
289,446,577,290,669,185,203,692,291,800,204,031,985,184,080,864,980,300,388,
313,787,558,337,384,542,194,492,346,249,495,613,465,039,451,604,366,242,959,
739,624,985,936,238,266,778,374,784,848,940,623,325,827,330,338,866,112,929,
182,619,174,132,729,530,884,454,794,691,245,537,331,736,131,580,274,011,675,
246,951,796,288,888,602,853,704,258,158,820,234,783,602,832,593,347,502,148,
968,531,783,935,207,262,408,131,979,689,781,384,294,314,653,277,042,815,610,
701,452,673,653,997,705,335,737,386,275,538,481,675,751,545,287,889,366,765,
659,023,702,937,230,193,740,962,533,041,407,609,734,048,932,393,791,541,058,
881,866,429,852,900,102,314,753,873,127,650,790,160,154,778,241,318,043,089,
985,178,184,583,826,863,228,663,151,480,944,490,514,628,643,195,269,924,215,
525,734,981,915,336,141,024,170,447,563,307,981,398,551,013,827,149,083,297,
195,551,426,245,103,104,499,756,205,102,775,756,423,526,294,176,290,252,747,
245,854,311,519,244,995,127,515,615,474,861,489,572,862,774,138,882,106,391,
359,424,994,997,701,644,125,135,322,289,946,836,692,720,966,542,901,329,849,
206,087,025,667,051,557,835,916,689,579,383,967,913,333,033,764,480,104,547,
676,281,121,424,368,328,331,547,036,115,620,353,826,741,579,447,782,832,938,
532,022,071,102,431,622,089,794,333,115,980,960,966,548,661,595,662,859,380,
336,753,062,177,634,348,620,968,204,860,223,527,569,166,953,100,742,108,037,
869,159,030,489,344,964,057,766,357,777,900,926,690,846,073,248,075,561,453,
260,562,864,193,799,894,679,439,140,714,829,893,074,235,612,359,733,209,046,
449,600,268,268,397,610,332,818,525,498,081,681,124,141,366,622,337,926,054,
452,005,284,411,797,604,972,274,951,964,717,098,874,318,823,908,419,880,430,
701,390,404,736,313,277,805,398,969,645,802,619,974,017,136,913,769,051,348,
607,267,342,143,647,994,221,033,524,513,477,973,856,823,745,042,078,946,578,
259,470,218,160,153,726,479,142,852,886,035,826,390,407,894,141,344,246,359,
064,558,370,271,468,611,901,143,416,866,445,208,936,640,635,690,668,653,173,
646,139,969,526,793,997,304,221,121,883,448,687,702,936,655,982,398,059,177,
706,469,956,986,952,654,580,072,686,703,246,986,031,827,596,384,568,388,201,
853,221,461,953,660,434,281,608,791,718,967,217,980,209,935,635,570,654,906,
341,391,550,692,484,537,429,292,495,591,340,291,699,811,510,823,518,277,032,
439,473,037,231,673,201,323,251,799,085,627,589,387,087,189,358,272,941,932,
358,618,786,322,998,716,588,867,469,872,257,647,528,677,468,417,623,137,474,
525,600,898,752,111,005,738,121,803,989,508,545,704,361,617,151,378,692,023,
776,376,947,919,879,921,738,166,155,924,691,312,111,693,302,570,521,661,152,
803,278,871,108,345,664,582,106,511,419,429,158,250,506,081,417,212,463,818,
937,574,773,454,235,681,638,846,365,561,075,630,004,151,691,080,879,102,355,
134,115,237,539,707,409,825,473,361,002,643,667,304,022,684,051,201,915,673,
468,161,847,968,024,569,300,135,364,774,133,196,345,392,158,037,682,591,238,
059,057,666,953,325,528,772,768,644,101,151,934,111,432,968,578,505,398,370,
122,626,155,183,187,712,470,546,933,644,222,506,060,831,926,575,110,583,513,
156,648,811,822,258,100,562,155,817,402,989,243,176,635,631,792,415,240,419,
956,892,704,829,373,483,035,292,553,209,897,467,988,274,435,035,311,479,929,
095,980,320,731,478,199,803,959,541,816,788,689,043,151,892,940,365,285,278,
635,221,125,093,165,227,749,152,452,617,515,943,738,528,789,581,106,243,039,
002,435,557,844,756,013,581,346,460,381,453,879,987,618,787,721,752,014,369,
021,411,207,746,607,407,930,160,309,410,503,525,914,120,341,544,578,694,493,
200,273,229,649,650,578,461,951,563,399,939,508,482,969,762,969,727,890,771,
695,451,086,786,327,942,244,230,800,660,458,506,042,201,059,635,896,101,468,
798,965,564,896,593,792,938,996,905,693,414,091,716,545,609,529,697,323,952,
234,117,280,905,093,003,961,560,713,508,346,781,975,115,370,501,621,325,382,
881,688,610,999,662,445,382,561,068,066,209,694,556,743,309,340,022,591,559,
958,720,261,994,515,870,242,718,068,854,460,243,437,663,690,384,929,232,185,
714,704,748,255,746,398,574,365,107,868,532,095,470,188,830,082,959,329,179,
299,260,811,600,250,910,803,593,199,959,191,957,913,409,627,512,698,060,410,
291,773,898,329,768,138,766,809,508,918,699,074,688,678,756,539,019,086,110,
779,535,840,877,640,673,027,602,743,439,424,007,410,555,954,779,515,923,557,
527,679,036,899,273,877,100,962,766,166,809,515,437,416,658,822,331,818,875,
300,059,518,820,613,433,873,662,727,964,568,539,466,463,450,836,928,678,234,
341,280,946,566,886,946,884,631,499,648,771,620,935,539,427,275,709,935,609,
462,971,363,726,896,426,359,668,007,153,879,588,312,325,357,159,074,244,190,
607,874,012,650,196,574,822,212,388,194,829,191,877,449,437,070,009,799,012,
495,174,620,989,458,186,684,023,524,951,011,843,078,377,094,231,429,641,424,
900,012,192,104,650,816,665,149,010,946,284,013,916,320,306,040,254,432,873,
916,024,087,162,629,407,743,637,608,209,923,293,366,182,433,196,251,458,038,
669,583,549,413,937,195,784,250,683,492,072,680,420,447,768,178,727,840,578,
430,182,249,001,433,240,044,068,414,591,164,657,835,116,235,516,748,213,246,
142,990,959,266,387,621,361,281,684,701,720,165,220,961,984,054,395,699,850,
931,102,197,429,226,532,428,019,056,727,054,475,830,803,451,140,417,438,574,
792,828,212,868,031,275,324,382,688,936,005,630,256,767,759,108,827,120,589,
717,324,304,474,606,176,229,060,279,627,696,846,552,540,708,879,115,673,685,
086,227,481,854,545,868,114,574,371,971,715,622,923,578,320,272,367,712,681,
869,829,290,849,915,271,555,740,102,771,677,873,811,011,402,967,992,626,021,
846,883,191,569,695,245,001,124,165,002,004,259,202,938,102,553,673,282,818,
068,688,873,749,371,132,494,945,656,902,727,062,446,556,640,867,283,904,511,
639,637,033,682,860,868,691,262,800,831,372,022,860,384,510,641,005,842,356,
123,909,725,162,379,731,595,512,547,421,863,435,000,402,314,269,041,844,225,
801,270,732,739,530,512,409,049,350,897,787,872,003,907,960,451,655,132,914,
739,010,674,832,520,487,764,521,488,092,037,918,842,349,235,732,208,369,466,
525,327,200,913,752,329,787,184,906,961,732,240,440,851,006,079,765,572,166,
517,001,747,311,097,213,114,305,750,713,279,393,211,049,094,995,653,507,820,
087,929,234,767,695,109,948,153,135,387,572,134,677,635,275,583,864,625,748,
823,220,638,052,147,136,585,454,962,700,277,989,329,712,086,176,482,876,944,
066,958,777,212,546,054,084,995,423,216,218,986,086,643,755,610,449,432,113,
314,055,194,333,755,890,397,260,728,066,242,666,831,514,007,997,615,647,813,
144,776,093,437,899,974,276,723,477,995,998,865,375,387,439,934,992,145,430,
048,466,381,004,482,703,772,066,093,905,784,166,595,253,756,720,561,410,703,
911,109,822,374,128,161,450,691,362,968,700,265,181,637,235,110,625,919,019,
513,012,687,184,535,235,600,202,329,076,599,291,850,888,712,940,272,417,345,
417,263,323,567,825,242,328,531,965,576,473,713,507,186,885,801,102,562,669,
581,395,517,990,726,620,313,806,879,901,921,095,739,685,021,755,555,894,122,
219,219,850,733,586,448,006,706,658,791,667,486,136,267,749,329,837,914,932,
673,901,455,987,677,054,760,340,648,066,608,839,583,510,069,557,842,376,631,
722,429,037,546,970,584,429,932,534,072,352,187,608,762,337,232,028,237,949,
136,361,498,438,618,571,594,325,135,518,240,849,267,440,152,825,596,552,129,
296,652,853,705,694,913,474,906,907,385,263,942,741,803,829,219,986,731,337,
456,197,705,625,422,715,736,689,313,704,213,401,277,910,918,886,955,371,019,
529,672,554,610,978,178,707,760,369,482,960,370,433,342,738,816,675,286,008,
883,872,170,508,157,631,696,507,218,904,678,890,055,246,828,405,156,429,487,
657,064,081,083,800,434,151,642,403,295,497,193,936,439,821,531,779,488,714,
963,362,716,596,542,830,925,138,562,039,918,651,927,476,271,654,197,075,817,
744,402,081,547,152,707,245,580,107,744,057,077,560,037,869,704,835,649,983,
520,468,074,104,254,905,697,955,979,371,060,639,263,336,752,881,535,095,757,
907,459,920,248,421,521,761,145,356,429,044,009,214,010,753,839,858,906,211,
245,164,684,199,597,003,091,877,487,576,610,309,418,105,605,007,231,667,057,
017,786,613,341,097,925,341,351,710,750,391,859,532,517,063,287,209,834,917,
341,488,818,539,735,341,229,238,840,574,887,325,710,672,978,904,840,874,783,
718,690,159,614,204,937,350,900,462,807,650,107,600,924,932,102,115,730,641,
275,816,970,805,644,259,877,275,010,822,189,769,974,734,517,275,392,915,694,
665,929,639,395,642,592,948,082,270,201,335,812,646,399,754,771,785,900,701,
230,981,529,809,075,717,452,662,000,269,571,849,649,271,006,117,455,864,646,
095,891,604,860,987,264,483,802,428,157,364,339,135,994,882,990,715,480,366,
328,337,119,874,727,618,879,683,050,651,592,778,854,601,881,298,269,675,725,
067,958,370,102,849,376,822,861,370,225,013,283,418,841,850,879,520,588,732,
874,347,869,586,319,407,888,403,384,941,154,687,469,279,388,428,111,393,670,
234,844,733,490,735,982,210,975,140,841,749,777,528,558,329,443,872,974,231,
049,615,228,176,191,411,288,879,764,654,672,348,803,009,147,143,774,438,151,
172,786,347,942,941,835,845,190,658,611,242,282,454,191,694,643,799,798,428,
695,362,352,252,024,217,481,132,924,538,298,640,214,888,410,846,216,266,869,
185,262,576,219,459,837,163,714,081,501,747,749,133,258,857,980,561,094,981,
774,788,799,913,304,583,284,244,109,400,284,660,400,227,536,437,007,909,577,
058,155,113,484,799,400,873,292,441,604,227,038,283,125,490,236,880,121,124,
676,289,490,940,448,041,394,216,539,630,746,762,066,521,906,124,850,115,413,
678,190,995,758,188,872,113,846,771,526,780,352,288,335,789,689,037,119,899,
959,578,145,149,049,699,522,922,456,891,100,574,017,167,537,352,961,027,393,
487,617,461,573,224,727,367,534,290,697,063,976,386,790,727,565,075,221,321,
050,165,308,670,603,592,689,082,462,793,332,275,982,653,198,399,275,916,565,
899,660,878,218,997,381,886,582,718,856,368,500,677,258,273,243,402,074,696,
336,634,989,819,866,208,580,268,888,640,080,583,584,647,075,052,579,359,233,
318,617,571,888,720,956,490,188,693,836,296,178,815,741,300,183,086,742,424,
689,214,487,687,337,826,318,093,618,224,886,800,949,265,552,456,839,086,279,
341,100,112,554,504,827,356,432,468,450,203,651,533,158,059,457,687,334,642,
630,411,608,809,991,725,983,666,538,194,359,358,466,941,484,367,503,588,942,
620,452,667,912,571,083,443,784,550,871,201,556,227,568,593,688,466,821,313,
198,667,269,165,718,035,341,787,112,434,192,580,878,344,048,393,092,276,189,
131,381,291,652,370,616,734,912,700,984,579,835,007,875,131,288,918,511,483,
703,512,322,124,855,020,969,162,171,495,518,561,482,544,446,470,342,781,172,
452,649,182,033,003,365,477,418,956,391,791,987,706,299,242,056,211,888,661,
000,184,806,678,313,089,644,006,038,864,114,053,343,552,406,673,730,549,916,
333,742,784,594,540,278,448,400,711,054,670,642,533,591,631,144,638,441,575,
687,563,886,081,905,361,130,027,907,811,051,331,527,188,090,452,893,136,110,
536,246,588,655,812,453,858,269,254,821,178,729,618,703,887,679,710,583,475,
331,947,556,835,085,726,925,477,655,615,233,174,970,498,125,130,264,305,189,
899,251,767,009,585,723,602,853,192,620,546,317,654,720,806,438,522,423,340,
644,113,398,390,063,083,484,443,892,768,987,237,589,430,531,628,139,971,381,
042,346,778,297,266,438,790,190,034,095,363,438,472,035,064,665,250,452,306,
279,988,387,764,894,333,080,024,660,096,839,229,345,210,142,873,226,359,799,
081,452,081,971,265,836,736,892,010,022,413,595,117,577,810,591,777,691,774,
973,574,816,854,235,695,063,119,747,551,984,756,236,577,429,898,275,023,245,
114,757,210,134,900,287,241,552,647,280,994,941,557,051,246,073,130,243,794,
989,508,610,952,570,736,138,607,488,703,619,510,861,118,355,946,018,399,926,
566,388,578,302,901,863,700,596,402,360,509,488,380,348,110,257,186,460,456,
453,540,079,356,370,454,904,361,871,399,442,284,343,573,334,498,139,401,435,
554,496,533,962,584,462,991,977,885,213,493,976,006,351,592,171,854,075,141,
246,176,451,739,112,029,270,131,532,679,589,329,108,530,644,374,390,144,117,
079,764,936,195,272,746,588,536,681,336,930,684,303,845,249,344,724,331,118,
517,453,064,754,849,575,190,066,411,526,144,957,434,403,598,796,949,910,446,
737,225,472,154,806,402,627,781,899,070,988,818,446,889,766,745,983,563,035,
991,616,256,019,587,190,344,685,515,178,890,632,226,192,108,165,389,619,098,
481,368,289,500,418,878,682,110,139,022,610,744,776,337,331,825,394,067,808,
286,625,258,809,526,196,845,301,468,431,072,959,387,700,222,889,173,860,173,
409,389,474,451,466,398,313,138,203,594,613,875,310,866,701,552,286,606,524,
136,634,485,906,598,632,874,062,878,277,880,094,632,600,566,781,020,432,734,
828,419,730,803,011,222,752,139,441,087,168,071,235,028,677,669,678,089,818,
051,918,218,405,270,588,379,689,668,086,171,828,108,214,992,780,573,143,686,
160,100,811,726,305,462,547,954,625,330,642,647,434,502,736,837,323,281,293,
052,887,089,183,855,919,922,162,734,303,699,396,191,365,128,456,646,538,216,
633,211,806,480,399,205,637,501,037,852,695,411,983,627,732,745,302,596,900,
211,374,575,308,316,864,459,097,473,132,181,730,465,270,545,943,237,572,030,
630,221,196,657,276,048,178,972,627,644,379,964,460,257,117,297,795,034,591,
615,261,731,921,069,839,590,085,768,661,272,859,395,290,192,266,816,216,040,
773,660,538,394,416,480,725,940,648,268,443,235,139,827,231,595,913,552,010,
672,239,680,835,454,470,189,837,486,342,453,223,795,537,456,574,281,914,770,
492,800,674,994,582,050,064,380,699,825,067,741,708,943,311,164,940,598,789,
523,374,044,549,794,497,449,966,140,946,155,888,402,637,081,005,293,569,810,
439,631,582,126,781,648,372,162,167,159,873,245,570,567,285,732,263,780,609,
697,156,664,193,880,382,323,939,165,198,892,971,961,535,303,543,865,310,391,
181,025,193,154,443,554,503,960,221,924,191,617,390,612,369,888,994,676,397,
313,715,245,905,187,972,587,302,084,327,616,297,052,948,344,551,810,526,593,
796,107,036,287,733,034,488,072,619,992,513,903,997,453,245,403,275,890,353,
126,579,270,789,057,669,293,300,763,059,158,964,098,425,439,171,782,217,605,
901,882,658,080,457,269,400,208,567,132,462,017,592,437,513,853,475,818,405,
139,687,118,934,761,102,371,798,541,373,881,015,425,599,962,191,971,046,405,
827,482,305,301,816,590,735,340,388,084,907,165,229,983,345,888,481,307,902,
682,166,877,266,911,608,755,219,685,442,346,972,775,415,675,167,847,844,033,
712,737,948,573,636,182,712,108,541,747,917,982,711,427,331,288,625,946,486,
978,970,903,379,945,965,074,608,462,341,583,173,711,980,080,892,884,315,537,
422,700,734,674,509,827,600,947,302,469,661,440,067,242,293,448,939,695,826,
920,019,377,375,250,246,392,152,850,338,929,743,052,450,259,697,514,335,271,
855,978,249,608,705,871,404,573,194,995,450,539,133,841,235,567,523,646,173,
520,832,741,462,873,963,734,087,842,843,583,183,547,493,969,414,717,999,705,
848,946,070,018,886,129,966,268,747,477,703,340,974,738,247,261,292,320,359,
021,819,829,788,207,912,904,243,088,925,130,024,129,788,771,385,401,479,822,
338,028,725,662,142,441,249,458,996,488,512,888,579,648,744,427,603,341,776,
675,674,251,487,004,625,994,077,955,547,553,188,352,291,489,999,788,028,293,
909,598,066,942,980,490,744,092,599,541,552,432,775,200,654,947,160,375,598,
453,575,709,600,465,712,334,602,342,268,962,786,340,344,816,950,804,409,382,
486,882,082,285,554,471,456,557,650,037,296,437,291,613,285,385,785,649,315,
187,325,384,713,919,837,310,335,237,385,178,241,401,529,089,671,840,945,855,
014,227,000,984,714,170,700,632,965,549,620,708,962,044,303,964,829,265,166,
322,341,488,646,384,992,193,013,564,179,044,930,069,282,798,475,892,908,733,
012,191,069,354,675,938,773,041,911,700,342,907,284,230,196,372,656,324,844,
351,793,224,847,699,534,508,597,069,004,775,543,477,570,431,822,175,752,263,
437,947,466,475,155,695,104,515,056,909,652,050,595,774,919,422,146,954,118,
175,293,947,756,868,818,259,102,011,651,087,681,036,437,353,009,808,597,681,
678,192,984,940,362,036,472,898,481,992,149,752,250,263,514,504,509,647,272,
347,606,602,041,005,735,783,373,961,532,726,173,690,964,213,965,987,713,503,
687,413,504,107,423,250,346,771,630,456,428,404,063,754,129,015,141,640,703,
671,940,996,757,235,261,088,296,030,477,283,455,641,126,919,762,574,335,820,
591,253,032,240,458,682,983,662,190,488,129,090,889,879,248,226,864,760,442,
504,913,328,344,248,988,792,791,160,905,803,456,922,783,629,635,308,583,247,
598,577,542,539,111,484,872,918,280,762,224,887,984,355,616,727,737,164,018,
346,157,601,949,486,619,242,431,347,481,953,492,603,175,884,141,089,193,457,
238,534,741,555,984,912,159,898,246,826,487,511,217,094,324,100,766,937,085,
238,396,280,146,335,908,457,140,311,807,774,704,783,661,714,930,863,472,772,
694,372,970,048,669,729,635,157,011,214,497,391,895,281,307,919,901,813,329,
873,817,036,211,721,945,982,603,874,145,235,314,863,211,294,184,589,669,773,
371,823,445,580,709,393,973,570,865,061,182,194,272,956,319,419,319,308,657,
965,024,480,943,023,281,695,648,479,815,511,304,528,160,599,483,098,132,918,
405,480,992,851,789,319,958,040,950,682,211,415,336,107,219,198,339,770,193,
637,589,822,579,580,265,372,210,248,182,833,809,015,644,332,059,007,772,124,
345,239,992,572,278,167,818,901,545,258,853,684,467,063,327,375,410,195,862,
370,262,344,997,136,489,729,394,012,871,933,251,045,157,539,226,672,445,714,
789,399,548,112,316,683,618,492,982,756,758,808,048,684,618,216,333,260,199,
243,080,590,638,180,861,535,830,782,784,146,455,953,842,845,126,851,523,854,
838,745,822,847,830,172,089,456,054,053,295,824,997,879,658,224,836,648,978,
564,314,622,006,786,781,875,954,440,297,184,714,849,257,303,751,055,210,031,
586,237,037,999,080,026,343,494,426,362,523,970,578,821,041,670,365,559,899,
624,077,898,051,392,643,192,607,484,423,245,742,608,281,929,235,044,100,934,
023,978,252,614,353,158,076,162,044,195,806,883,924,754,464,480,511,007,690,
124,990,880,130,305,406,123,844,370,574,492,715,605,068,208,525,713,562,781,
218,082,760,590,634,068,854,195,602,352,091,182,768,010,917,646,682,845,744,
781,129,542,666,939,367,488,059,493,311,515,870,822,231,847,543,003,933,784,
676,759,757,989,547,750,195,707,490,797,658,157,430,301,657,489,927,935,150,
613,739,348,469,804,543,768,679,981,201,233,401,585,949,822,354,529,297,331,
789,838,856,287,604,828,513,673,331,333,029,585,711,629,537,850,628,558,074,
125,435,255,004,078,777,411,139,803,873,905,388,944,762,581,693,917,205,583,
301,453,627,044,477,584,146,835,303,990,420,735,097,345,526,469,651,332,646,
374,805,264,852,447,097,252,093,963,694,265,448,396,773,764,884,463,761,698,
267,215,862,858,446,744,781,500,375,403,461,221,927,433,149,884,609,339,123,
076,567,868,516,213,828,810,844,844,674,962,353,839,821,996,191,303,322,647,
522,403,620,829,896,835,275,227,608,921,450,077,921,183,727,545,663,145,561,
736,866,058,233,625,093,339,318,163,167,261,829,657,859,601,251,415,001,429,
856,834,460,925,757,841,325,701,740,511,906,271,640,642,946,983,528,798,574,
406,052,978,041,462,564,216,687,462,708,586,750,353,170,017,530,175,233,990,
775,562,518,548,376,421,720,759,454,360,667,832,774,389,807,209,082,818,008,
571,119,445,194,713,346,191,219,449,790,925,309,454,888,493,493,791,208,902,
379,988,182,309,900,728,509,668,423,646,100,600,681,696,156,971,683,134,223,
651,522,205,771,298,125,222,590,891,265,484,210,289,540,482,505,009,717,122,
298,472,985,029,945,757,057,997,067,073,689,532,911,927,512,209,608,433,979,
323,824,018,689,857,737,641,300,747,176,416,579,348,994,709,418,610,281,593,
195,726,463,960,220,403,566,848,580,594,007,316,371,245,762,643,436,752,032,
413,921,818,084,789,969,304,143,655,908,614,634,403,866,306,017,979,746,142,
376,851,042,665,491,693,758,912,505,005,220,683,416,210,893,052,483,548,238,
169,962,004,931,641,037,287,317,919,303,460,475,526,075,725,192,095,809,118,
553,302,054,706,214,136,451,421,426,946,010,000,153,258,278,713,627,890,925,
861,279,688,286,717,610,757,481,766,665,492,238,609,359,308,723,013,063,900,
032,385,140,806,134,084,520,505,704,134,951,951,619,034,124,707,481,443,514,
504,744,397,286,924,905,646,185,259,593,871,399,826,073,807,733,024,704,315,
852,660,554,905,897,981,113,103,999,306,882,444,009,881,171,702,920,728,932,
650,818,648,631,627,624,257,682,458,541,716,849,913,495,634,959,220,586,220,
730,841,801,158,561,050,786,645,491,417,460,597,350,603,948,958,805,259,998,
758,636,957,270,278,354,655,201,777,391,224,516,135,896,523,786,598,342,627,
415,690,746,477,679,746,739,717,327,797,198,844,102,783,736,930,499,637,768,
639,297,643,119,524,826,714,719,190,700,528,497,025,511,066,575,769,472,060,
470,211,802,967,565,479,404,301,180,539,355,043,153,010,017,200,131,182,437,
944,200,550,200,192,515,348,133,416,033,901,313,927,520,818,510,864,528,501,
997,173,753,556,011,397,035,822,512,925,795,771,816,163,490,210,357,867,236,
775,410,596,978,233,589,777,681,728,229,132,773,034,389,792,588,513,472,906,
594,393,047,405,680,653,458,303,170,898,196,726,621,117,074,823,634,130,004,
954,333,277,306,325,148,973,561,687,818,359,314,471,217,760,881,848,439,233,
575,775,937,795,548,576,652,580,600,299,489,294,820,334,608,339,509,811,973,
166,379,799,856,872,843,779,395,269,345,475,280,167,578,751,977,878,001,512,
840,093,286,070,294,599,147,604,977,670,755,458,316,609,598,468,366,343,591,
169,393,222,641,085,277,685,770,517,187,845,539,661,230,226,182,322,447,427,
662,002,122,139,250,632,628,014,044,658,848,264,572,017,537,432,681,058,086,
696,195,015,339,166,418,367,416,469,401,922,690,410,305,797,643,738,541,266,
097,699,207,476,764,098,667,302,789,081,258,560,904,571,112,660,173,915,971,
958,464,261,984,453,251,423,833,483,058,209,968,280,310,096,942,713,707,002,
068,989,329,249,932,238,699,090,686,620,210,220,079,423,646,636,440,278,628,
541,250,083,739,742,473,742,896,531,485,996,938,313,545,354,299,656,249,510,
073,591,977,039,653,367,463,230,039,425,775,453,928,098,195,846,024,371,474,
054,497,057,332,670,310,295,315,164,658,488,560,958,565,819,256,013,015,565,
747,305,106,711,026,562,845,759,646,725,817,615,302,774,182,729,654,855,164,
659,128,318,244,914,039,832,159,968,726,659,068,310,166,286,769,250,066,843,
102,162,863,200,522,898,789,864,568,810,743,435,796,606,700,627,974,063,145,
650,849,375,816,198,498,311,821,059,583,449,674,029,539,206,411,214,672,093,
453,279,663,389,339,975,436,967,065,454,689,336,513,016,881,654,293,515,468,
753,970,122,218,992,386,673,458,540,209,423,663,471,256,183,923,274,578,581,
899,519,005,683,574,094,995,468,941,235,025,592,781,301,911,938,267,019,099,
131,355,752,323,194,505,501,149,377,625,738,725,764,045,143,725,519,227,492,
622,833,010,827,118,033,599,435,882,565,034,560,449,243,616,789,416,966,231,
539,062,276,943,183,990,283,692,287,365,103,064,005,243,265,454,725,766,448,
677,954,628,116,018,669,321,838,215,904,200,263,788,787,750,664,364,695,985,
494,846,660,093,575,570,553,929,585,419,653,766,798,584,745,374,987,074,161,
746,607,436,868,877,486,021,503,343,486,859,897,943,091,332,033,991,559,342,
307,752,594,832,988,716,161,376,489,379,912,571,746,590,026,359,278,829,838,
744,429,737,691,007,659,867,740,041,768,403,106,347,172,832,361,296,349,664,
014,772,753,916,700,583,286,966,751,965,388,414,624,126,669,100,474,364,307,
446,919,388,839,645,643,488,410,495,656,612,120,531,317,872,275,746,439,735,
166,273,565,424,114,078,940,772,897,512,741,482,121,424,182,020,201,964,157,
239,213,175,750,274,352,254,335,105,989,698,163,464,249,797,294,860,616,039,
332,748,976,833,794,490,093,030,815,365,340,159,669,240,424,259,915,754,489,
462,620,250,635,576,741,405,399,327,095,230,999,731,602,557,090,048,552,366,
153,511,894,015,509,428,819,279,060,354,116,658,673,641,461,939,012,383,337,
738,297,567,508,254,344,073,001,868,287,940,026,780,064,155,017,810,642,230,
155,760,628,718,977,395,785,359,092,470,582,296,095,006,503,423,236,682,201,
771,844,925,741,051,412,281,652,613,198,166,721,463,269,122,912,810,746,386,
670,096,186,131,023,077,882,118,500,510,365,549,570,655,716,457,093,569,738,
620,463,918,706,865,526,407,122,688,744,212,819,221,211,905,327,707,672,844,
400,090,349,379,546,552,259,790,544,001,656,243,253,947,442,930,138,749,652,
892,594,586,571,860,552,092,837,171,436,732,819,551,625,630,677,199,611,687,
420,150,564,262,853,949,956,866,456,456,241,820,339,106,884,495,957,059,982,
703,669,539,736,401,184,825,679,034,700,039,237,844,611,824,873,829,841,445,
005,112,303,130,905,721,720,812,088,704,109,830,050,110,127,775,266,476,615,
847,270,438,282,181,403,341,994,983,898,055,913,296,163,161,554,382,439,664,
335,499,789,568,580,601,718,299,125,793,712,783,969,966,307,705,485,173,509,
940,731,239,252,459,126,035,238,348,430,752,382,619,509,700,526,829,609,396,
262,572,273,101,397,591,805,234,785,495,173,181,324,141,106,213,356,383,242,
670,046,084,409,894,845,545,261,117,424,178,293,054,658,301,337,048,220,853,
511,752,180,871,133,966,327,598,609,064,402,784,531,666,219,719,984,202,485,
940,903,698,876,545,747,021,746,681,534,937,888,236,031,230,225,849,166,858,
646,057,223,301,197,403,302,991,899,919,340,204,704,357,423,763,314,636,386,
113,973,352,825,123,957,957,298,622,567,210,176,489,643,584,560,921,736,474,
755,606,463,673,581,790,449,084,837,892,573,768,409,907,276,719,600,154,611,
571,966,963,917,817,550,307,000,184,314,344,724,985,547,204,663,413,847,157,
836,087,287,436,004,713,406,038,147,655,379,032,822,003,740,580,989,755,465,
255,389,867,484,218,709,531,819,794,594,113,574,348,402,237,170,088,024,894,
010,892,402,742,523,069,606,992,686,635,574,547,175,087,370,262,251,449,100,
260,866,516,030,431,564,182,802,582,399,837,851,920,405,056,366,193,797,630,
132,403,720,237,835,173,581,924,244,225,006,020,964,288,908,742,986,578,710,
270,847,410,713,974,181,694,400,280,264,816,342,200,640,632,645,439,927,761,
891,588,499,202,894,813,217,281,635,093,938,966,138,834,447,550,809,337,543,
898,733,935,084,952,840,817,193,180,880,276,356,146,071,623,328,835,466,245,
014,967,094,694,183,884,234,957,998,371,601,361,253,001,609,055,675,767,282,
431,655,751,275,873,127,603,089,956,298,618,404,205,375,166,869,990,887,781,
527,777,297,429,143,835,112,546,355,680,442,578,683,703,652,969,165,247,134,
899,481,634,348,965,508,360,228,525,920,634,161,246,566,319,050,226,854,185,
924,411,252,384,899,389,709,728,163,192,815,982,676,960,512,435,020,947,353,
668,941,216,890,593,591,395,249,318,599,300,092,938,481,840,707,783,228,277,
422,605,082,159,098,388,184,836,758,643,014,384,762,347,208,170,210,840,773,
270,654,966,716,880,398,132,373,182,078,911,004,860,644,380,973,318,282,221,
155,226,427,481,703,888,040,788,399,784,169,329,174,353,802,259,362,728,779,
978,237,017,339,564,352,481,360,209,119,596,833,241,955,705,311,045,982,373,
721,381,169,613,421,557,132,441,563,234,692,035,485,168,695,567,361,164,681,
284,729,008,162,346,115,497,134,539,433,778,593,605,423,080,256,381,789,487,
618,686,969,268,192,285,253,978,636,061,192,140,644,389,729,577,720,437,889,
919,874,546,256,104,428,371,019,695,721,285,959,139,398,952,829,734,766,221,
821,390,730,868,688,169,065,374,869,557,285,724,665,227,347,475,185,396,503,
019,805,479,129,105,643,311,060,639,288,058,047,280,363,660,456,877,415,964,
904,694,254,562,166,463,390,770,118,951,122,287,588,669,878,564,448,074,807,
662,297,812,829,882,916,345,453,286,696,775,899,533,507,751,341,712,706,989,
120,003,853,060,144,673,829,061,048,160,546,593,118,996,638,876,281,002,041,
551,699,096,425,701,147,625,602,537,857,250,521,797,983,428,920,268,676,590,
160,305,288,721,741,481,954,125,926,693,088,265,142,627,137,436,303,252,350,
304,868,590,760,251,359,521,142,359,951,118,785,292,754,779,001,489,530,725,
276,690,356,272,438,559,633,572,895,731,160,762,140,531,713,602,561,820,567,
512,920,454,130,644,866,978,326,415,072,992,193,075,405,417,529,587,422,295,
677,060,874,176,867,387,366,453,017,837,271,838,814,637,387,194,775,715,766,
621,974,540,059,491,289,397,423,473,478,332,127,411,167,242,243,243,706,663,
778,544,637,361,107,492,976,162,389,996,429,388,499,528,853,398,816,180,421,
328,279,526,893,666,990,497,056,602,876,983,000,108,986,073,122,843,277,148,
731,026,775,722,117,594,013,504,179,688,585,926,137,904,361,950,044,672,604,
336,491,970,434,858,158,773,469,559,783,148,060,584,068,527,643,029,271,674,
667,966,522,296,011,375,784,630,432,913,250,279,427,026,302,621,395,334,046,
533,031,304,110,417,630,782,032,953,508,421,962,426,989,204,883,672,898,813,
707,897,095,265,377,155,986,497,806,381,703,453,035,596,271,363,060,916,570,
465,618,511,934,406,616,463,821,226,882,872,429,888,289,847,082,456,593,411,
462,934,056,729,723,899,711,513,468,314,687,657,544,199,666,384,067,838,210,
492,374,820,892,128,500,960,421,595,044,656,576,783,772,756,056,064,351,533,
674,213,484,256,625,401,158,127,787,373,546,271,998,107,637,022,696,523,838,
884,271,063,479,201,519,152,405,726,800,424,290,627,670,266,460,999,065,835,
845,488,973,302,323,518,298,439,316,942,551,769,940,264,798,233,725,290,557,
662,488,801,454,656,868,861,575,494,130,209,979,343,424,930,221,232,462,885,
775,959,857,471,292,039,864,353,100,903,514,255,152,027,619,531,086,122,854,
113,234,822,421,698,768,810,331,838,844,735,452,462,537,363,109,417,289,609,
249,605,503,143,011,326,327,447,504,950,602,618,889,423,946,298,454,781,958,
357,697,899,944,364,859,786,783,510,062,926,666,477,711,932,587,048,644,195,
382,557,617,180,148,273,252,987,747,577,943,294,641,133,990,794,152,540,808,
388,847,045,867,904,946,809,733,181,620,865,310,102,500,928,685,836,314,091,
961,946,819,824,784,813,779,166,463,805,772,057,298,097,686,535,434,255,753,
457,602,311,896,224,257,026,673,261,127,281,748,365,575,942,413,304,893,448,
067,486,210,349,556,427,398,059,480,061,139,437,829,158,583,797,431,708,921,
898,974,607,094,921,018,994,434,708,334,010,726,490,252,717,317,298,752,419,
683,687,831,666,833,759,686,462,797,765,428,048,055,099,638,750,077,577,089,
735,544,918,612,667,331,260,492,965,953,006,596,917,391,063,863,584,984,178,
641,432,249,239,377,379,241,712,320,007,996,765,910,991,657,773,974,645,566,
383,944,247,132,941,171,317,178,284,102,766,862,249,014,377,712,965,297,964,
478,207,118,177,417,846,831,435,801,779,859,893,040,800,436,590,412,447,110,
937,526,634,300,695,174,125,636,217,226,194,001,650,206,504,405,609,609,798,
716,532,175,734,870,714,625,248,185,993,555,267,599,263,169,741,612,936,957,
513,209,154,519,437,144,995,803,847,585,061,306,446,976,690,679,440,546,687,
741,573,582,625,066,861,794,014,666,387,637,527,983,675,044,087,066,642,311,
217,507,276,738,585,911,755,532,126,680,546,734,262,396,579,625,527,087,680,
212,594,086,116,523,273,035,741,177,580,146,649,100,217,410,567,347,819,619,
183,481,588,036,831,989,426,223,336,520,673,433,098,423,882,102,286,567,465,
054,222,672,407,404,055,357,275,892,662,588,683,759,660,176,878,814,834,908,
205,526,643,377,066,620,986,993,759,019,957,691,685,804,481,692,717,431,834,
490,411,796,249,309,759,016,182,754,187,128,885,537,749,737,083,995,380,851,
745,539,740,575,224,838,431,020,659,464,031,924,353,276,222,956,546,203,582,
198,641,585,359,408,067,753,761,793,494,647,611,101,225,084,959,146,733,715,
991,944,381,621,997,270,629,147,407,337,796,798,451,208,954,590,411,676,098,
053,718,562,252,887,908,364,898,300,311,022,356,426,500,977,729,547,227,138,
726,743,925,626,163,456,900,225,398,916,437,416,961,471,946,872,389,317,301,
548,768,350,970,217,390,876,606,434,544,158,583,113,586,698,699,260,973,425,
573,199,998,166,018,378,637,684,377,779,912,750,355,519,780,226,310,561,778,
523,537,833,113,871,742,907,002,665,159,373,617,688,446,389,679,364,213,212,
628,681,106,536,524,479,360,595,311,628,956,435,625,036,002,328,088,062,962,
686,013,940,519,310,278,253,667,683,108,528,000,392,562,847,862,466,704,567,
818,291,903,845,004,105,276,160,064,319,486,999,637,147,432,063,328,398,853,
549,817,116,639,109,882,471,944,435,690,982,611,558,786,656,335,851,826,880,
914,031,002,536,249,044,390,457,715,745,732,194,099,391,273,724,366,914,766,
862,047,399,609,166,555,840,866,634,720,335,102,931,269,107,915,542,142,813,
626,458,792,341,641,537,445,443,348,940,177,437,183,041,288,695,470,362,155,
105,152,169,587,868,483,772,439,622,602,116,948,503,050,374,456,800,270,734,
161,436,959,472,310,145,678,078,817,341,708,984,295,784,378,816,512,737,343,
263,842,565,691,910,214,511,120,742,372,523,331,870,317,778,068,754,338,260,
823,231,054,956,107,491,593,612,456,021,451,145,773,867,486,586,194,406,676,
601,645,606,973,920,189,776,881,260,202,317,807,469,322,043,372,165,900,176,
129,351,796,837,885,921,423,884,265,558,829,983,285,886,723,720,748,650,234,
266,888,384,023,914,422,514,051,298,010,398,644,970,295,681,266,689,805,357,
194,078,268,940,656,543,573,834,752,152,561,061,243,507,885,711,912,933,795,
870,337,626,358,266,215,266,026,376,310,166,341,697,129,168,495,952,921,194,
392,443,340,954,848,759,707,239,327,891,767,881,696,819,350,011,503,221,293,
425,672,717,793,533,235,443,850,828,497,401,780,991,058,137,446,434,968,745,
190,782,647,971,623,964,187,537,735,585,165,403,066,422,191,868,335,643,332,
420,495,453,610,104,508,824,461,684,536,516,043,670,683,865,909,135,499,360,
490,805,353,567,959,948,224,363,623,873,726,298,242,216,493,909,939,859,340,
092,936,657,991,537,031,845,484,617,779,912,725,944,885,625,965,153,658,038,
266,659,572,940,747,304,755,403,958,651,472,217,294,326,721,034,476,319,934,
706,329,545,393,389,409,782,849,150,823,279,264,429,434,304,963,831,614,056,
199,786,086,375,057,605,436,134,256,373,711,045,587,345,192,200,574,642,608,
377,053,265,905,924,949,561,185,208,866,618,255,741,894,611,596,344,211,209,
497,701,670,531,482,165,250,695,279,192,959,472,483,946,026,161,593,908,272,
594,043,622,198,979,206,178,788,555,940,787,702,038,435,839,038,967,259,026,
349,091,006,573,133,784,080,416,037,863,613,783,981,795,573,867,965,839,337,
583,393,014,385,197,234,537,692,073,288,420,430,543,747,002,827,252,274,233,
970,348,036,269,229,177,839,606,827,560,479,403,297,828,362,973,163,306,087,
684,757,772,485,355,191,431,925,446,085,525,966,241,796,186,327,883,038,499,
017,724,892,472,574,052,265,560,873,434,771,634,080,760,824,956,034,016,209,
907,274,860,255,607,984,675,213,107,418,971,163,699,235,207,179,954,494,963,
881,116,588,443,500,832,546,627,287,544,944,031,810,967,737,830,318,587,037,
625,386,897,603,006,597,691,967,734,895,625,850,838,191,820,296,627,067,783,
603,345,027,051,143,814,896,436,970,550,714,222,577,099,808,136,281,749,649,
520,983,718,623,430,100,032,731,968,828,647,735,452,958,064,182,919,858,009,
009,980,818,727,419,023,443,591,792,539,310,918,111,906,122,585,955,863,378,
501,488,829,543,165,604,825,889,647,471,059,968,686,386,506,714,555,408,254,
373,161,891,498,925,636,153,796,391,359,293,109,678,931,626,343,181,828,416,
064,020,129,221,532,361,583,442,791,613,941,888,333,189,536,999,114,932,619,
426,559,494,307,648,135,217,756,603,214,614,088,757,373,441,143,809,407,062,
096,915,482,885,297,015,429,509,877,718,632,518,310,572,265,640,000,397,943,
982,876,436,019,504,624,424,588,075,694,389,456,432,985,728,992,184,904,094,
879,870,804,404,510,938,258,627,944,471,736,418,946,220,051,180,509,109,412,
212,090,094,112,261,610,518,675,056,427,012,116,113,318,348,426,258,722,768,
892,312,514,259,685,256,975,301,259,495,163,703,902,320,638,856,115,806,292,
003,907,749,707,581,205,744,180,119,538,384,030,601,716,062,025,965,762,894,
953,340,165,649,635,636,247,213,755,459,875,871,993,211,044,135,906,799,439,
830,861,630,382,510,780,231,996,247,621,683,285,462,335,484,453,481,757,746,
721,912,961,480,309,987,098,534,875,995,154,436,018,658,649,695,722,185,161,
425,490,972,981,737,704,823,319,851,132,455,257,916,695,256,485,562,483,883,
640,182,373,726,703,851,517,457,226,259,467,192,672,440,730,458,783,701,838,
213,550,706,410,316,405,869,379,230,915,644,254,150,488,542,557,568,754,162,
518,253,923,746,291,679,565,882,100,096,347,169,174,813,447,643,133,545,629,
114,815,387,258,363,657,801,568,125,011,203,593,447,054,040,260,648,813,710,
856,856,406,836,908,310,813,387,836,717,306,121,533,515,771,609,027,055,508,
214,733,938,958,184,197,905,660,388,927,804,907,629,391,878,555,095,516,893,
285,940,202,766,470,526,731,788,905,863,181,595,196,236,828,838,563,322,587,
403,441,655,688,925,883,452,618,163,516,656,489,281,701,934,997,910,526,573,
939,641,103,811,400,674,547,083,964,666,496,644,380,784,115,050,165,712,122,
231,762,233,677,544,967,930,978,111,138,326,240,805,724,417,824,493,383,810,
305,902,424,161,378,207,196,560,703,042,994,649,634,873,548,202,652,754,196,
352,080,807,372,550,780,851,088,250,114,662,082,860,315,085,805,718,030,134,
342,188,878,271,393,464,274,112,410,523,800,910,928,057,826,786,039,317,163,
374,716,951,826,380,681,027,960,667,470,311,315,065,208,742,767,215,291,937,
622,001,636,990,836,563,065,378,518,128,896,875,670,890,009,617,293,922,684,
181,136,834,054,333,588,150,418,221,711,273,267,604,336,843,259,408,473,445,
700,391,289,351,407,186,996,412,277,684,352,692,193,963,792,357,458,922,934,
470,363,593,569,969,366,493,500,068,959,653,377,572,351,457,773,111,751,635,
568,669,589,708,488,213,917,024,567,398,458,857,825,986,864,105,984,484,177,
862,128,053,248,662,534,853,645,977,829,395,485,880,135,328,206,486,878,759,
304,743,959,497,888,119,066,078,360,917,802,971,936,011,683,815,919,084,749,
503,923,071,790,243,616,397,262,474,344,947,246,771,453,381,227,722,620,940,
592,737,455,978,556,901,650,028,532,747,817,368,259,258,994,350,213,982,774,
731,006,023,420,554,896,965,855,135,730,268,040,943,911,108,268,256,699,205,
807,270,508,488,383,482,639,455,486,954,985,832,147,478,321,751,851,493,394,
553,021,109,080,149,232,407,807,018,988,177,519,449,674,837,527,734,587,749,
316,636,619,211,357,025,234,980,403,368,469,484,662,918,066,440,430,430,931,
201,767,852,323,486,950,116,216,993,204,140,202,453,502,921,222,502,897,616,
704,516,675,332,530,692,084,960,159,362,707,056,989,495,217,058,186,533,258,
894,675,285,573,398,053,987,242,461,438,542,482,905,426,482,750,854,368,997,
534,900,908,499,976,030,867,911,397,200,127,643,082,666,560,302,819,141,660,
861,664,033,468,598,259,447,447,389,217,021,094,542,744,315,770,977,666,876,
476,646,341,488,853,302,625,394,390,372,633,726,595,828,024,590,130,375,532,
118,781,226,205,126,963,516,441,677,648,502,323,882,312,814,749,911,083,848,
027,252,669,289,983,385,961,301,609,457,259,734,354,295,462,308,500,112,353,
203,188,193,781,856,963,823,933,828,662,739,183,058,033,670,753,071,518,338,
495,552,142,421,768,541,162,342,725,059,373,182,099,162,895,541,261,541,406,
389,694,806,406,187,927,046,232,375,999,414,484,304,552,400,945,196,920,122,
007,613,229,596,775,397,118,380,861,069,022,688,499,970,307,183,609,600,969,
813,602,574,708,917,189,086,950,773,037,152,472,664,233,560,250,778,933,334,
895,573,826,511,506,423,708,847,750,338,896,372,364,135,087,884,082,203,531,
145,004,749,597,086,395,559,487,680,498,697,059,472,755,204,643,234,787,113,
203,612,881,392,713,336,292,623,366,427,974,506,068,418,924,515,552,156,034,
446,386,988,308,895,770,069,495,320,418,447,473,461,284,471,230,755,327,930,
198,758,372,411,933,251,499,919,284,194,910,888,068,943,268,105,949,049,566,
662,422,623,302,568,514,771,659,899,350,442,024,642,934,117,658,274,678,028,
357,404,586,335,799,650,093,506,388,367,345,774,966,759,076,120,947,640,223,
827,548,266,841,147,727,733,663,509,493,487,723,661,017,312,314,344,553,224,
752,804,290,986,695,604,048,852,697,835,892,955,806,332,972,880,741,061,555,
241,167,684,053,248,768,438,247,810,033,421,906,634,029,640,149,307,614,852,
095,046,334,115,058,669,669,746,600,285,559,792,867,711,673,919,287,325,500,
128,278,556,921,927,338,796,916,274,720,790,259,179,243,541,367,601,424,479,
199,066,719,890,786,254,536,795,251,669,736,562,262,469,054,517,140,007,164,
111,914,116,589,421,250,487,510,872,348,784,199,705,948,898,702,496,024,403,
410,755,224,177,136,794,984,305,579,872,715,134,345,136,747,139,614,769,909,
287,769,259,074,771,035,582,470,212,393,481,816,649,216,005,053,600,768,444,
194,021,582,803,184,708,918,668,640,492,385,931,489,755,661,597,715,773,770,
470,057,712,105,070,032,021,959,206,075,910,937,050,767,681,958,029,798,129,
415,593,731,717,356,802,705,396,783,988,908,569,727,496,498,953,656,239,596,
616,731,493,010,737,012,542,829,961,785,934,205,506,432,774,646,388,984,632,
560,048,595,411,117,467,529,290,731,618,721,028,639,089,279,918,111,526,596,
230,443,955,134,356,879,119,309,806,821,732,754,180,592,578,374,204,292,458,
071,218,076,551,960,708,932,035,999,501,983,685,544,468,402,403,604,190,114,
371,031,194,129,817,095,977,910,679,738,577,669,509,641,880,181,551,005,499,
895,517,547,998,972,996,360,342,690,581,347,634,182,773,522,637,650,870,770,
729,798,869,237,878,023,411,090,866,162,206,891,087,088,450,313,436,560,191,
958,443,111,904,225,815,139,830,307,689,272,897,109,006,745,945,809,656,086,
030,091,799,575,014,926,170,656,077,988,075,885,428,181,471,116,350,490,311,
624,653,344,997,698,171,925,623,628,291,548,136,432,903,143,706,127,974,066,
257,010,920,659,215,279,458,333,476,322,159,365,022,239,876,893,578,442,645,
932,521,231,729,390,668,093,543,006,710,980,058,948,418,447,914,295,958,443,
891,001,741,291,248,790,903,365,297,902,174,134,754,589,615,142,574,105,818,
989,170,243,655,817,522,695,817,709,856,347,854,895,622,109,815,376,065,599,
087,402,031,770,479,485,247,012,608,350,260,835,283,147,836,879,247,124,723,
553,452,483,626,527,578,850,118,288,509,279,172,342,061,772,658,977,174,453,
572,850,710,582,148,720,127,897,262,118,760,963,103,768,633,025,042,619,523,
518,817,956,458,652,199,076,965,608,096,753,437,740,193,614,840,773,770,300,
804,243,211,886,261,668,780,496,413,955,933,424,878,899,793,822,358,680,190,
421,334,614,376,732,106,557,691,883,745,091,706,054,946,124,303,384,571,439,
909,151,844,261,769,029,735,208,686,041,691,005,030,784,288,490,158,678,884,
856,715,883,058,613,710,668,319,978,685,675,070,218,619,207,722,247,495,224,
062,057,922,795,549,932,814,849,918,803,086,782,834,534,492,522,549,511,501,
104,009,408,578,203,616,957,696,720,585,051,370,021,832,583,841,891,109,430,
137,156,737,594,615,102,358,857,617,449,622,868,973,351,834,707,048,539,503,
127,354,913,543,952,146,659,269,865,531,226,193,652,860,400,590,063,704,587,
237,734,349,993,826,212,063,938,321,884,223,377,741,599,641,207,616,763,513,
290,233,469,035,496,306,161,517,499,806,256,946,443,412,549,164,901,956,446,
452,330,160,108,605,903,579,392,654,993,368,732,818,267,334,121,303,356,566,
335,580,140,311,268,425,334,783,114,970,695,492,510,305,323,779,247,311,807,
378,237,356,053,899,138,051,355,298,296,538,978,266,743,019,521,518,093,413,
328,038,087,773,563,997,477,320,359,105,390,825,673,028,455,504,415,966,767,
671,371,563,710,053,275,680,582,277,169,584,145,412,717,726,131,891,480,005,
291,120,581,979,257,915,673,598,196,600,281,979,882,134,946,585,613,791,711,
525,271,541,967,417,936,563,498,245,074,015,808,911,008,933,838,389,118,087,
006,413,006,984,987,819,391,461,933,870,507,939,463,257,667,906,943,160,627,
986,033,512,321,108,655,602,671,808,908,906,469,845,232,514,100,308,834,625,
215,003,201,577,822,350,992,493,834,138,409,552,753,194,148,821,269,078,354,
679,885,899,026,793,792,841,581,894,991,734,296,848,886,388,133,794,977,182,
756,344,427,176,261,509,350,482,424,517,288,493,516,879,388,014,303,165,909,
283,844,989,267,154,458,461,953,334,490,639,690,173,722,903,993,462,246,374,
030,329,689,849,903,307,658,485,921,289,995,378,770,465,952,681,962,904,475,
668,218,785,082,597,475,422,960,974,487,184,498,777,216,000,203,062,469,321,
272,129,354,590,034,379,349,398,827,838,875,191,755,464,625,150,330,232,991,
476,558,301,061,410,749,053,846,083,296,336,261,922,455,153,663,567,787,855,
081,373,310,021,153,242,447,672,585,145,029,330,495,042,853,492,401,193,290,
463,262,284,636,034,163,369,934,228,422,266,504,437,048,237,095,551,148,668,
567,574,731,943,673,855,743,424,641,024,157,423,124,358,125,896,717,939,756,
218,767,204,607,091,848,732,779,472,365,415,554,487,955,328,087,848,068,527,
570,728,051,016,393,034,436,754,672,044,789,328,892,001,016,541,658,687,092,
743,784,060,893,141,988,972,213,841,404,768,422,807,799,668,749,926,572,268,
213,585,903,998,964,681,932,399,027,263,504,717,209,398,660,400,758,692,057,
474,008,788,729,071,949,225,829,441,584,260,092,940,253,347,154,756,325,117,
374,347,190,090,557,599,428,007,548,842,954,622,959,141,062,662,357,164,535,
951,561,131,214,283,803,045,085,801,826,540,866,364,210,960,962,445,195,265,
523,499,733,028,312,864,779,239,300,973,393,655,751,071,663,854,869,652,138,
750,918,630,501,548,136,598,817,943,879,596,585,072,432,131,896,126,287,934,
459,803,587,307,142,264,719,245,440,463,043,310,521,618,492,973,668,667,712,
944,575,355,676,744,904,477,515,206,500,352,213,174,843,648,421,687,312,457,
280,322,298,564,750,849,315,889,965,859,351,594,036,081,510,368,868,426,433,
435,354,958,881,149,979,753,545,810,697,841,500,549,042,550,532,165,540,293,
768,829,640,444,479,631,404,363,040,477,432,480,979,162,946,016,672,439,934,
045,116,644,016,358,553,244,215,430,180,250,969,380,677,900,047,701,387,072,
520,654,989,910,759,724,290,974,631,359,554,258,904,580,118,487,998,474,873,
027,713,345,814,355,608,035,938,138,426,807,175,589,790,030,269,795,071,176,
893,742,186,598,728,169,001,123,252,425,798,993,009,321,471,656,561,122,707,
074,473,260,935,561,162,032,874,104,422,966,132,256,831,054,730,379,035,565,
312,298,390,903,952,579,535,614,299,863,774,187,628,655,585,614,511,532,389,
465,678,200,430,628,047,755,264,322,504,758,358,968,586,957,866,255,632,636,
494,641,847,616,337,706,931,530,456,409,339,254,890,703,513,471,165,004,040,
526,983,159,842,592,588,358,293,777,319,877,896,884,064,658,282,128,853,528,
940,825,440,896,970,628,514,086,896,723,042,653,358,599,969,369,648,936,861,
755,186,796,622,374,457,777,353,600,836,804,925,985,378,031,562,844,666,489,
966,668,404,686,052,860,575,843,911,281,920,104,272,309,132,399,561,009,904,
725,727,668,898,537,381,909,137,630,384,923,411,533,683,370,121,560,573,588,
154,722,867,187,651,070,527,752,467,503,027,142,003,547,567,429,370,713,766,
092,290,586,752,488,744,213,673,663,356,923,848,217,310,176,489,142,961,288,
673,952,690,223,956,436,349,474,066,058,237,113,748,215,771,472,605,403,130,
804,366,217,094,911,770,114,981,208,731,242,836,258,408,366,720,743,166,324,
369,491,580,433,252,229,932,246,103,124,843,750,134,886,167,468,451,230,710,
857,139,987,718,875,395,691,827,038,364,470,754,626,716,339,204,407,250,009,
186,334,527,412,391,608,335,862,518,617,907,798,800,481,331,897,226,542,472,
750,083,370,462,272,864,357,445,427,059,893,381,988,750,265,344,209,098,010,
828,393,921,543,240,800,080,095,958,549,350,851,370,223,541,926,207,897,333,
014,483,441,691,220,996,187,758,440,445,189,107,303,756,640,255,691,667,715,
895,050,843,785,494,947,853,315,856,678,352,080,974,917,188,125,087,297,315,
195,691,638,833,279,294,343,185,818,129,168,046,908,540,047,185,933,029,803,
188,225,117,329,413,356,998,868,163,028,192,772,348,753,199,521,903,020,809,
450,298,055,739,627,092,743,232,902,099,080,852,279,588,244,492,366,460,735,
650,436,966,842,585,712,013,150,805,409,778,844,538,819,315,452,528,466,199,
541,614,209,356,667,349,461,876,880,572,260,941,325,684,755,040,993,005,416,
029,563,899,048,488,943,744,476,188,573,655,628,428,244,673,827,334,443,957,
910,629,622,469,783,382,524,850,241,689,456,987,851,558,794,347,065,188,919,
107,963,874,629,350,236,456,826,942,917,073,109,735,151,291,324,198,192,135,
840,387,669,632,572,452,049,894,466,000,799,928,847,376,373,237,144,998,703,
900,293,158,420,309,207,700,757,824,268,549,901,728,206,121,718,897,753,794,
382,730,869,179,452,855,076,816,557,680,994,853,368,442,066,351,682,785,506,
286,160,028,196,539,960,111,809,164,082,549,182,424,108,904,156,652,616,639,
819,212,584,715,203,979,567,345,422,674,883,694,840,556,132,768,404,164,791,
921,539,544,096,977,939,889,169,851,812,104,792,614,432,835,481,875,300,827,
554,369,091,370,377,754,132,416,499,256,212,906,757,682,358,855,997,122,399,
548,840,515,647,020,400,747,575,482,480,675,808,672,557,894,475,592,636,835,
412,470,540,254,191,321,716,116,276,410,015,791,666,962,369,260,225,948,803,
482,213,451,637,925,994,079,237,521,810,437,592,496,732,258,993,678,700,346,
930,801,984,860,279,931,203,213,682,745,576,451,000,444,903,337,651,868,380,
568,778,854,223,054,137,383,872,924,955,898,517,512,664,873,893,057,601,922,
752,102,207,027,538,595,225,819,104,638,360,857,143,995,101,182,435,391,620,
379,519,325,667,506,889,072,500,753,247,307,771,848,354,686,680,108,150,759,
092,698,133,700,377,992,520,877,162,406,680,636,893,591,820,503,863,543,360,
479,159,332,788,544,466,172,711,791,194,960,919,247,131,924,562,519,963,486,
172,798,423,145,351,347,380,039,516,036,363,423,545,156,481,830,936,259,845,
091,089,696,560,948,948,237,172,025,094,409,342,050,317,563,155,532,542,044,
580,612,510,442,727,540,353,969,045,822,601,610,618,324,642,479,102,745,382,
393,017,554,369,621,440,151,987,896,971,380,208,378,203,832,867,446,397,729,
183,754,674,564,728,529,787,874,084,485,425,047,196,631,400,676,154,168,659,
653,355,912,171,139,906,166,553,000,247,486,898,553,060,946,434,231,723,148,
142,480,505,611,064,486,202,745,933,450,120,227,188,944,868,627,079,218,195,
037,544,795,108,022,985,818,500,517,856,119,946,620,427,276,305,429,459,047,
668,025,270,865,929,459,918,887,778,967,577,454,272,044,851,177,174,885,030,
647,779,291,555,251,153,269,819,341,626,784,647,434,276,746,404,426,578,282,
800,306,114,857,426,755,365,156,411,452,981,706,107,855,939,699,615,383,662,
823,754,784,827,247,829,688,482,579,500,768,379,479,648,957,582,510,616,932,
206,233,206,046,455,358,696,646,462,199,207,016,108,999,340,384,181,740,524,
028,612,409,050,351,006,527,384,179,246,371,978,175,175,480,471,564,213,518,
907,819,434,328,208,981,593,621,569,013,007,747,569,443,669,760,813,921,073,
102,009,513,117,780,807,230,969,794,711,637,190,566,392,620,450,161,725,642,
143,587,854,480,448,966,697,814,943,735,676,604,291,546,695,367,798,326,738,
920,308,032,389,228,697,944,988,249,543,848,493,106,592,818,858,488,463,271,
488,805,136,081,642,327,879,202,181,688,676,261,293,617,324,997,645,688,226,
927,513,450,786,292,340,742,495,731,630,450,918,123,111,683,343,225,317,353,
177,706,621,171,233,631,589,233,939,557,416,785,990,172,314,406,991,337,371,
949,625,517,467,049,970,236,829,114,701,486,856,792,165,475,736,212,258,135,
692,753,285,515,688,718,553,362,572,839,147,638,853,195,527,580,739,456,112,
528,624,818,279,025,718,587,603,550,498,829,289,254,549,366,051,676,966,975,
647,438,727,517,602,263,346,209,286,310,910,883,782,842,543,129,647,756,067,
067,990,763,725,581,807,774,825,129,239,709,119,922,122,891,256,724,940,839,
700,070,324,960,318,624,610,913,394,608,152,605,748,881,439,654,871,629,878,
140,153,081,611,295,296,745,347,803,275,517,443,282,651,219,682,788,827,530,
220,780,667,515,718,177,348,143,851,055,206,544,675,422,284,896,440,472,236,
903,621,949,126,341,521,488,712,335,521,231,265,104,927,559,336,151,519,571,
564,120,206,667,115,927,407,124,203,245,914,369,281,458,355,032,599,892,442,
144,643,092,232,553,154,992,666,751,310,003,600,776,481,527,932,366,037,413,
029,845,570,657,585,332,287,106,765,546,609,835,468,503,905,740,031,275,375,
509,300,659,214,248,692,448,258,399,978,805,360,927,813,350,496,815,084,186,
953,189,743,802,102,768,759,799,772,062,780,584,931,176,893,524,675,164,454,
137,325,184,617,433,516,283,568,334,075,857,973,586,297,236,380,365,491,268,
752,338,204,195,415,203,733,589,571,243,369,201,535,108,562,244,916,401,845,
708,884,275,863,941,102,154,829,597,360,946,969,143,143,817,180,822,754,973,
667,902,624,976,205,154,200,242,213,742,749,622,700,693,125,676,795,393,105,
384,300,331,698,518,524,435,033,444,597,680,138,398,331,536,609,160,674,883,
014,268,578,681,574,925,389,354,620,184,717,582,925,831,025,330,888,455,015,
323,734,191,058,675,900,379,982,495,026,787,465,148,478,319,269,065,586,492,
087,069,709,285,861,861,730,403,917,500,710,381,391,757,779,052,212,960,118,
139,928,363,452,767,369,728,489,250,949,283,274,132,019,865,116,492,049,986,
516,156,935,289,676,818,027,072,609,907,978,722,511,620,976,393,552,943,782,
312,110,085,841,562,348,886,874,079,056,537,671,647,565,996,701,668,305,639,
538,244,259,423,138,816,540,557,167,980,773,564,709,355,822,727,965,719,500,
685,054,241,505,418,852,249,571,675,500,935,700,538,272,244,103,693,002,402,
291,125,670,823,422,494,181,596,759,142,048,564,558,698,779,719,191,758,461,
407,928,202,345,315,703,060,772,066,421,378,992,099,596,904,924,312,135,010,
393,100,485,559,206,965,230,565,164,330,666,788,687,016,286,657,296,402,071,
039,180,006,793,952,167,545,161,416,140,224,212,838,951,579,832,172,715,467,
897,568,569,252,294,277,691,326,175,962,450,196,706,165,472,756,171,291,491,
788,468,564,731,554,144,989,292,155,994,816,183,725,331,116,055,954,487,193,
365,883,434,059,102,440,405,234,129,997,949,363,445,105,108,346,490,147,071,
419,306,311,705,928,937,856,256,476,995,352,183,903,561,375,193,270,089,331,
445,601,890,474,393,159,404,106,386,246,972,843,174,081,926,851,235,026,917,
717,013,414,574,446,139,358,396,024,030,864,458,062,502,915,103,552,243,647,
177,800,510,880,365,741,864,387,089,312,311,009,732,148,206,859,960,055,381,
152,256,504,366,701,041,987,260,132,506,157,254,953,171,197,797,538,593,693,
159,863,003,171,018,350,659,264,201,329,575,735,813,099,729,724,606,218,367,
504,746,720,152,340,725,845,558,960,834,842,723,071,430,704,400,974,020,588,
302,892,528,929,514,309,386,649,662,214,724,107,067,780,675,744,828,349,466,
502,293,737,391,665,637,368,625,146,968,980,816,342,329,629,650,489,450,927,
146,396,787,839,918,398,620,127,804,485,380,031,872,025,797,130,789,170,223,
650,249,841,417,719,289,443,310,094,624,058,504,221,968,681,178,841,658,623,
124,080,811,682,752,989,461,077,806,524,165,915,467,228,157,935,097,970,686,
025,810,447,481,478,612,544,051,948,476,072,202,870,740,436,378,268,246,009,
013,548,865,457,416,070,373,703,485,158,832,629,120,433,065,467,776,036,839,
152,522,578,781,709,990,375,532,994,946,266,737,065,352,463,684,430,079,190,
274,780,106,839,713,545,874,237,349,517,958,968,915,176,387,223,152,728,516,
804,825,384,984,333,201,696,794,298,478,688,344,122,787,658,079,330,430,489,
833,869,539,431,361,731,266,170,055,457,160,141,223,064,089,583,634,862,661,
272,053,762,138,590,050,559,830,756,425,446,161,533,790,765,520,051,652,262,
302,079,684,488,816,103,578,621,675,746,776,484,785,256,886,933,406,879,857,
241,447,444,655,578,510,874,660,494,458,523,065,995,674,286,389,109,512,993,
805,974,206,276,137,558,590,176,343,221,483,622,981,396,010,547,904,430,494,
487,613,882,840,745,459,016,019,707,858,016,523,451,272,421,586,019,619,889,
283,176,573,345,225,139,154,636,192,836,051,364,847,180,598,019,462,255,981,
224,692,348,040,703,284,767,125,166,150,481,197,069,411,452,922,956,940,007,
938,190,377,626,589,085,224,048,836,350,179,243,558,081,014,280,614,686,764,
745,530,716,973,641,751,796,024,688,376,150,954,308,691,536,778,021,643,647,
984,340,000,452,351,917,741,838,486,671,387,138,323,341,289,138,896,168,401,
243,169,308,565,314,136,414,049,545,540,822,548,768,179,319,869,202,847,080,
226,590,051,995,012,373,898,905,719,453,269,007,395,733,107,438,494,450,520,
740,552,935,087,815,707,456,281,826,201,729,939,282,786,818,018,201,139,967,
786,651,358,879,640,649,903,885,540,883,283,450,021,762,600,854,754,634,584,
807,985,534,351,302,275,339,186,470,678,312,086,482,106,628,913,685,373,762,
392,882,724,440,449,378,467,094,456,920,471,484,391,394,659,092,579,102,136,
119,341,947,385,559,088,701,428,215,320,363,000,691,293,657,999,079,407,841,
657,379,291,760,061,336,736,993,887,490,440,402,709,028,014,333,906,827,641,
901,427,893,885,767,261,412,240,015,517,986,581,281,480,479,630,843,696,502,
031,515,449,590,965,836,151,039,520,338,034,756,183,427,640,940,190,392,793,
795,979,128,558,680,930,019,758,412,989,894,127,952,477,781,495,700,872,088,
427,386,775,588,886,701,893,407,227,947,707,966,481,232,553,046,211,528,906,
776,694,966,850,125,633,756,457,412,985,121,602,867,533,632,624,478,269,825,
561,794,871,469,625,923,466,757,257,750,353,743,901,364,200,353,017,491,677,
898,593,740,496,790,197,759,739,367,628,059,758,913,708,047,398,434,907,471,
342,463,174,636,539,843,635,622,907,399,888,051,122,428,289,989,761,694,615,
216,851,280,691,070,841,829,856,406,487,508,541,109,115,032,730,508,185,543,
592,116,855,631,955,459,506,122,928,458,784,739,353,053,832,808,394,468,314,
324,549,307,785,021,823,096,333,915,254,952,098,325,620,096,439,243,388,933,
095,836,536,339,002,744,240,423,685,399,072,670,249,628,882,574,588,789,082,
215,044,985,252,044,704,719,956,674,003,337,574,162,349,274,816,040,733,703,
537,231,485,818,219,680,558,021,550,503,415,082,038,103,216,893,151,291,028,
333,851,596,397,909,228,684,134,964,093,190,215,505,936,665,457,957,732,260,
917,017,792,188,010,093,446,813,739,496,228,485,211,545,393,488,306,620,817,
969,442,358,861,296,270,791,615,474,620,896,057,940,352,940,078,761,059,910,
314,216,334,375,917,983,063,046,479,993,436,334,773,171,645,443,774,373,778,
184,015,514,914,138,197,999,717,542,802,762,706,748,655,912,792,290,243,576,
198,440,698,420,812,142,251,247,728,032,432,802,991,428,285,114,761,656,365,
013,785,997,316,681,161,365,854,583,597,860,215,485,161,631,711,675,251,714,
828,433,570,720,443,629,049,118,391,996,078,512,100,329,901,032,186,148,782,
488,337,085,625,008,585,892,196,600,402,379,336,876,919,011,420,759,687,889,
604,127,049,967,023,055,894,133,305,115,757,042,541,227,202,805,401,806,430,
822,921,708,387,924,848,696,578,953,771,954,314,315,955,807,015,292,947,326,
845,046,379,126,076,574,481,717,960,056,183,521,749,601,778,113,186,508,154,
403,832,648,006,804,118,444,306,801,473,641,289,254,905,259,561,235,316,857,
500,502,284,917,030,237,810,769,143,530,959,994,278,610,594,883,373,053,367,
641,764,088,301,648,995,335,754,141,776,011,394,359,652,946,625,949,559,611,
065,063,330,302,750,181,618,782,774,309,786,669,414,676,791,128,406,379,037,
516,554,684,074,778,884,818,662,883,368,414,823,505,789,451,993,556,261,908,
809,648,223,244,654,978,272,227,202,042,708,195,762,769,544,634,462,107,450,
275,535,086,656,798,493,851,030,171,823,932,516,683,949,687,965,160,353,424,
346,386,154,583,205,670,994,989,420,207,531,824,894,745,046,129,579,700,506,
038,732,556,227,904,556,050,475,446,898,658,136,576,516,292,437,037,121,330,
327,801,198,023,227,597,471,907,862,782,412,274,042,705,564,299,389,412,461,
190,916,227,917,426,857,488,539,973,277,620,548,116,605,297,537,610,688,169,
289,691,426,396,049,711,909,937,105,337,181,463,047,350,944,516,303,327,706,
656,392,272,645,332,879,011,763,198,580,988,908,476,868,282,576,776,863,512,
229,828,408,299,817,061,405,468,544,938,548,795,097,336,480,501,173,379,104,
249,433,257,782,468,028,779,890,603,909,772,269,445,226,725,490,193,018,396,
292,585,180,617,456,551,399,296,865,501,272,306,581,035,596,251,340,796,614,
804,870,467,067,767,553,863,852,319,696,127,117,947,441,562,332,924,520,140,
965,303,780,239,911,180,712,914,684,892,303,211,596,266,661,132,817,729,448,
092,085,001,280,393,333,979,820,588,597,394,330,976,477,057,501,491,371,413,
785,871,112,252,424,924,992,874,383,333,782,948,643,935,495,896,046,421,228,
010,355,227,559,070,253,283,144,403,969,581,873,962,644,372,570,251,344,032,
784,742,685,819,698,607,585,483,865,762,874,933,594,625,686,153,393,097,120,
476,555,920,157,826,209,778,340,076,385,981,314,296,851,282,998,282,097,989,
282,372,044,596,522,396,527,706,193,944,703,778,115,619,998,551,161,989,456,
955,371,869,583,156,436,341,928,833,381,997,469,990,389,890,150,489,146,963,
838,150,455,644,630,973,757,790,045,475,635,841,937,658,772,458,165,820,330,
129,466,978,753,723,502,947,067,288,279,513,446,501,356,551,154,792,894,848,
772,788,283,203,737,822,914,268,667,150,097,774,020,341,521,899,213,549,212,
470,200,177,223,303,487,206,547,695,794,807,880,354,507,777,586,309,441,127,
112,472,053,149,669,115,512,633,588,167,283,206,585,935,375,132,054,223,579,
077,271,812,424,297,412,333,519,655,611,422,329,027,858,149,799,406,554,716,
372,067,480,389,666,102,969,780,154,964,499,093,161,489,092,810,249,029,543,
367,162,615,828,816,446,612,441,305,951,816,922,381,168,617,817,210,869,703,
863,173,239,756,598,718,317,212,416,963,776,981,769,486,971,346,108,238,365,
068,807,841,185,037,082,944,342,246,801,579,857,494,955,164,617,610,804,602,
946,647,988,309,600,540,431,832,437,711,158,133,954,414,070,534,368,653,446,
862,142,259,449,674,692,860,545,527,073,907,548,106,160,240,058,051,938,639,
833,550,336,754,834,074,731,451,357,114,150,343,923,638,217,397,561,960,646,
559,876,506,441,751,133,122,869,874,384,018,738,426,502,607,997,338,769,780,
823,009,696,374,344,348,795,211,500,519,849,376,976,570,698,557,517,760,651,
292,166,829,670,972,859,851,594,309,475,096,725,934,298,927,162,308,152,893,
466,960,577,014,654,563,833,315,009,946,567,116,576,704,204,083,037,722,630,
859,346,027,957,317,339,283,470,757,750,148,400,459,857,471,557,657,392,008,
242,952,612,167,814,022,254,824,055,303,673,664,707,527,736,717,826,550,397,
246,977,723,058,722,352,779,491,037,314,938,970,325,987,820,064,085,507,598,
114,895,562,254,605,765,142,691,521,116,502,327,833,810,681,564,417,441,245,
868,069,803,706,648,704,589,023,064,490,739,039,981,283,068,250,641,859,958,
197,486,973,474,923,413,709,263,008,957,512,004,315,051,107,518,661,595,887,
448,142,149,442,139,387,751,383,508,123,349,778,967,992,530,610,234,996,632,
124,255,075,520,455,978,722,794,973,151,493,280,055,998,860,104,795,977,586,
290,714,415,749,186,701,789,433,884,328,011,497,912,789,717,740,085,201,479,
222,493,832,144,484,181,394,507,582,540,493,446,107,216,671,039,810,953,429,
557,551,455,754,098,764,154,010,526,600,261,545,430,684,045,121,570,289,513,
845,245,388,643,626,149,837,191,649,879,389,018,875,992,816,654,482,504,530,
720,933,369,773,706,973,450,534,632,761,625,811,312,152,995,427,197,065,330,
288,000,927,228,662,823,942,298,759,222,363,216,672,489,064,605,512,329,806,
212,926,294,606,709,197,863,187,565,685,104,298,533,805,023,977,720,862,806,
367,180,019,424,877,406,280,615,213,654,520,968,976,557,730,065,567,047,034,
388,238,263,420,826,468,275,671,435,377,808,150,296,645,708,306,525,428,895,
246,212,426,578,128,840,017,343,577,453,274,965,438,730,487,084,464,993,938,
626,286,277,688,972,296,268,615,166,549,016,946,458,026,651,471,874,203,244,
449,418,684,174,359,793,585,361,996,437,597,097,812,667,483,071,120,393,145,
292,692,005,530,779,549,677,275,233,291,051,121,230,394,761,385,828,139,118,
120,247,894,295,605,909,616,772,040,734,793,011,124,367,088,336,077,270,136,
642,981,183,014,094,107,500,608,071,389,395,553,192,050,264,961,297,985,066,
860,586,396,370,423,343,262,907,535,917,890,181,376,347,734,164,292,983,741,
430,875,397,910,453,951,758,341,991,254,607,289,941,873,540,233,961,972,174,
272,172,326,966,766,329,340,820,429,329,528,870,560,717,570,261,681,508,934,
980,447,004,219,013,041,932,469,601,205,736,831,548,284,376,015,913,465,818,
073,026,294,881,800,244,929,421,444,819,887,974,185,723,219,819,738,007,407,
180,926,658,764,764,352,275,557,417,421,656,412,843,184,185,607,233,310,299,
567,776,970,763,833,732,124,697,378,725,277,649,855,656,473,275,319,144,977,
799,534,705,242,143,358,361,690,360,845,743,619,973,899,268,142,607,465,770,
781,968,907,297,791,987,876,853,714,317,162,815,181,139,208,726,696,745,006,
178,942,786,129,980,844,455,160,952,253,918,443,930,320,349,332,652,776,276,
199,096,162,598,664,050,256,909,666,221,105,893,056,165,168,034,050,747,860,
514,103,381,648,176,553,292,461,017,915,317,189,484,897,671,166,257,414,880,
380,736,830,860,981,063,522,301,015,918,049,409,925,566,562,207,469,230,597,
917,438,535,862,065,099,705,838,482,877,679,312,780,872,935,166,039,019,791,
045,312,016,067,595,968,107,324,006,354,097,519,295,566,555,001,468,408,344,
451,103,797,390,322,946,578,445,275,364,211,359,466,028,554,822,294,864,649,
539,496,907,598,011,464,703,693,034,837,850,110,016,199,956,719,826,799,272,
700,596,566,060,519,517,683,073,050,759,855,502,203,351,534,628,330,068,087,
267,266,108,314,671,193,432,786,300,551,747,308,341,564,674,507,612,483,569,
993,909,465,803,728,437,484,623,399,588,844,375,920,144,742,193,045,596,382,
459,954,022,684,255,378,742,827,342,763,260,138,929,774,698,542,512,951,749,
317,258,587,797,946,136,847,716,782,953,696,761,670,723,856,730,454,798,471,
737,838,353,065,648,337,264,837,553,488,936,646,307,956,450,165,177,403,553,
686,210,021,410,354,514,524,255,719,451,289,485,827,053,698,458,234,438,582,
949,996,967,375,914,858,997,710,675,647,628,097,524,138,144,011,467,822,107,
658,367,443,542,526,448,815,909,869,027,102,260,477,802,921,146,844,158,149,
201,417,245,718,348,513,335,664,347,907,424,210,735,455,391,482,977,640,365,
779,284,215,599,461,525,182,284,354,515,445,813,276,811,230,714,044,993,464,
270,246,813,408,983,499,493,469,574,742,192,202,732,979,989,937,324,954,940,
329,342,539,131,007,245,592,428,442,200,584,223,292,936,186,727,265,261,187,
201,126,563,757,636,008,089,391,330,283,122,098,851,859,805,835,963,961,984,
798,502,606,354,348,886,027,530,899,628,763,746,563,615,585,957,336,200,265,
009,236,500,744,792,638,975,135,242,777,149,316,160,906,290,185,014,607,006,
720,006,098,194,712,129,260,651,563,534,529,049,832,350,672,597,981,605,923,
329,189,150,395,670,437,907,457,913,552,934,311,426,736,197,214,013,811,774,
861,910,252,075,098,889,543,679,858,431,841,832,012,016,338,900,521,666,725,
022,387,743,011,873,167,986,404,314,510,584,368,473,310,789,345,964,333,379,
193,087,391,509,052,509,011,198,815,715,104,259,783,030,445,701,835,932,927,
484,468,381,574,080,488,882,861,098,354,916,567,336,295,035,085,459,215,831,
616,281,529,769,608,585,470,089,471,913,567,137,651,811,262,560,410,131,138,
422,302,390,541,070,899,664,602,356,902,623,528,761,706,531,975,072,658,239,
288,889,372,757,047,827,155,809,896,468,139,861,197,632,943,838,136,335,398,
794,640,971,531,057,302,050,228,504,841,211,974,626,636,371,123,109,546,534,
320,342,947,523,995,350,277,705,952,502,862,110,528,330,989,046,168,181,041,
620,699,773,088,804,651,340,574,375,836,444,641,606,836,484,805,384,476,011,
036,822,333,927,394,482,481,981,288,058,169,892,934,107,627,612,228,335,879,
798,760,544,928,670,608,118,930,294,074,803,284,199,160,540,846,337,017,176,
001,021,898,843,076,339,524,454,124,270,513,545,138,944,833,781,527,009,839,
835,658,967,651,944,591,973,051,317,767,113,069,952,538,911,451,874,529,786,
879,213,413,861,015,386,395,556,904,238,091,756,842,492,293,076,833,296,327,
293,044,871,457,622,555,412,788,378,768,005,256,012,569,994,874,454,540,048,
418,931,136,185,892,562,969,797,316,100,197,798,514,848,121,968,812,526,976,
407,176,725,091,234,705,055,390,568,650,786,893,287,016,483,787,780,653,401,
514,298,021,530,145,705,800,700,384,763,155,320,263,363,740,014,742,128,532,
480,720,794,021,552,515,002,086,492,744,741,218,600,126,673,883,257,801,408,
306,422,460,481,854,829,048,296,491,054,889,096,350,081,458,433,722,791,585,
535,151,597,031,628,821,173,625,283,995,457,903,293,914,900,301,895,643,341,
039,148,677,679,540,795,745,080,918,607,193,048,067,201,500,755,445,186,693,
219,646,695,610,639,316,107,044,833,374,555,543,429,573,233,144,581,495,089,
545,493,934,523,005,527,072,257,038,541,575,691,665,653,867,204,840,140,074,
421,127,555,762,894,127,297,247,001,802,969,618,092,248,085,002,158,942,312,
470,674,846,602,736,770,900,403,843,040,973,136,156,004,025,043,824,220,951,
448,278,777,016,934,208,593,722,134,421,686,589,124,914,445,785,308,270,820,
831,336,992,091,236,292,583,976,165,572,305,666,574,413,012,923,101,739,820,
628,054,069,000,382,574,785,971,971,945,845,057,922,562,525,505,232,011,163,
874,651,910,729,894,589,552,580,842,549,401,338,902,162,356,187,271,238,764,
870,299,718,730,695,391,994,607,280,138,680,318,443,135,075,934,170,382,361,
719,434,294,598,067,621,659,721,483,634,591,799,469,805,043,669,697,633,221,
442,307,370,632,145,096,843,199,539,542,546,538,060,289,928,067,418,400,620,
205,632,071,808,742,200,949,000,753,083,662,721,861,957,826,952,723,065,683,
893,647,612,596,399,445,205,588,178,843,771,789,037,228,730,878,037,529,258,
146,107,420,320,427,194,843,593,478,803,163,972,680,880,772,915,976,429,638,
793,131,867,962,726,741,730,239,894,308,243,681,223,614,337,262,517,697,954,
752,049,573,989,630,062,903,103,731,395,776,113,661,946,322,560,748,947,589,
304,205,644,894,032,578,011,194,621,994,415,634,644,528,849,771,597,397,831,
505,099,650,103,207,966,175,196,231,685,613,935,107,451,705,842,412,807,415,
408,377,916,805,914,935,323,324,974,206,491,690,823,330,490,752,496,487,247,
872,859,254,414,891,782,198,881,465,895,184,114,122,915,849,931,228,158,353,
586,707,833,780,949,761,078,210,861,121,217,543,171,099,616,127,391,360,315,
204,083,755,182,409,657,742,551,577,549,708,423,250,439,982,334,064,233,166,
843,587,901,883,838,639,744,796,614,315,655,480,802,004,276,926,643,198,743,
507,152,945,317,804,819,737,452,840,079,932,296,846,712,735,040,429,344,652,
948,415,815,392,502,695,447,202,708,006,897,154,792,782,751,844,374,336,042,
855,095,124,713,188,903,167,662,820,531,974,238,986,409,250,430,661,968,855,
759,912,793,358,371,403,642,503,547,426,324,782,385,092,616,377,198,468,314,
033,677,831,799,898,357,623,435,015,698,821,779,643,393,027,010,670,977,296,
264,459,930,206,037,970,822,678,321,243,762,482,344,803,706,251,779,455,544,
744,984,728,611,552,239,434,013,130,351,235,775,650,014,279,344,856,131,632,
267,763,230,311,720,283,710,457,488,645,054,288,145,021,600,605,325,097,065,
868,123,051,213,475,198,179,793,835,994,297,734,667,342,824,709,038,928,639,
268,036,926,352,847,129,023,230,053,592,153,199,120,384,828,473,212,275,963,
692,335,841,747,660,793,422,357,856,251,594,053,556,507,535,825,573,654,957,
527,467,054,233,905,122,979,484,043,376,386,139,692,550,137,631,576,393,378,
053,027,988,738,701,862,826,680,752,266,033,179,108,108,794,439,129,001,004,
082,596,773,397,109,487,385,470,608,264,942,802,254,332,360,931,427,463,220,
464,698,698,243,456,843,239,233,782,683,990,612,953,330,283,307,916,536,614,
397,584,669,696,776,299,201,354,509,213,969,057,709,175,396,770,072,150,758,
748,171,742,509,852,038,385,814,155,689,626,505,009,847,889,088,155,876,374,
927,691,232,974,342,110,626,615,139,959,468,271,312,078,083,056,851,433,266,
098,290,179,402,612,765,582,441,226,578,381,382,650,681,744,155,106,501,507,
281,110,655,512,405,707,507,396,351,222,551,945,972,795,640,904,146,121,262,
988,810,007,673,587,908,712,697,708,919,343,898,257,673,142,509,597,481,440,
038,804,634,186,047,000,853,957,216,538,325,727,615,298,746,520,511,023,265,
145,905,812,252,644,089,709,540,074,675,346,381,602,821,642,395,029,453,909,
382,134,696,810,771,134,242,711,751,035,088,262,383,513,684,023,690,870,496,
732,566,080,453,914,561,314,337,821,800,153,130,219,767,071,961,521,170,491,
188,783,751,142,738,345,338,254,998,782,417,115,552,068,145,390,549,416,462,
265,849,837,298,199,734,962,311,438,706,376,359,229,471,343,851,291,340,274,
669,406,315,515,203,053,506,543,834,733,602,271,244,221,754,413,661,817,559,
551,183,412,977,452,341,609,582,228,233,283,006,260,436,209,555,357,673,255,
146,642,080,174,518,143,610,983,006,043,160,571,442,350,998,704,558,408,090,
773,352,296,643,702,039,309,039,433,676,407,718,073,062,547,594,846,788,488,
415,535,649,037,862,452,104,306,224,388,268,426,528,675,640,507,279,452,546,
688,429,648,764,857,947,010,979,975,301,532,477,197,182,793,243,634,364,216,
507,595,088,116,940,243,241,884,640,119,606,266,476,508,071,758,477,718,660,
239,357,552,470,644,697,066,613,038,317,581,649,484,955,496,886,092,633,540,
913,380,833,559,170,603,074,835,397,416,969,183,705,495,326,001,521,562,855,
554,508,569,855,716,793,389,801,432,150,611,642,552,959,221,252,518,471,243,
982,895,287,367,720,718,218,355,734,867,810,121,434,404,815,729,001,991,348,
948,399,504,703,803,219,724,164,024,534,875,958,887,972,153,506,855,115,552,
763,203,414,942,161,897,779,905,850,680,437,299,804,443,456,026,474,380,621,
841,502,209,188,083,430,828,409,153,554,761,582,836,067,332,055,055,611,092,
509,909,185,905,667,796,235,141,628,141,048,659,165,594,029,380,176,343,096,
282,246,198,901,108,446,324,097,214,151,485,710,385,381,210,222,746,051,386,
901,657,625,684,066,822,509,127,334,331,559,012,939,097,167,034,976,455,415,
080,684,927,743,829,822,438,822,980,480,847,268,060,689,217,757,392,666,251,
055,731,808,206,222,267,362,809,639,446,356,913,097,526,184,491,661,751,295,
323,574,101,259,429,446,388,977,829,187,060,430,604,986,662,016,704,492,849,
172,485,628,883,006,243,952,495,484,328,962,577,730,397,632,116,784,721,900,
822,180,948,181,523,334,175,072,568,856,892,957,278,331,621,699,480,282,909,
945,795,230,518,590,821,084,222,825,763,189,541,091,361,719,849,694,102,022,
933,349,718,573,357,448,221,520,294,311,758,199,582,915,636,139,114,197,334,
183,640,609,776,059,898,340,472,959,739,099,926,748,187,592,805,876,500,822,
611,287,625,508,450,967,470,735,626,213,113,101,317,133,263,818,651,356,094,
081,870,602,227,075,015,041,394,296,686,378,368,194,791,494,309,765,099,581,
910,642,526,033,191,037,159,032,406,031,883,493,270,751,298,621,660,260,752,
487,845,758,461,380,644,800,001,808,045,589,789,044,447,576,239,268,896,625,
978,257,534,853,942,006,542,970,911,105,913,551,151,092,580,802,544,014,029,
575,288,256,794,027,283,865,318,616,966,221,359,781,182,666,164,269,422,762,
407,171,059,460,864,385,499,327,173,884,122,235,693,433,711,664,282,651,697,
401,923,817,656,436,141,664,490,954,141,334,189,418,611,124,151,347,915,760,
902,119,275,558,976,519,629,553,528,634,560,828,970,467,270,276,112,788,621,
976,616,427,587,904,782,646,364,732,726,905,348,263,354,678,559,724,470,641,
532,561,737,036,236,475,370,753,320,952,669,631,067,094,215,276,946,263,537,
835,142,869,053,026,623,852,855,614,626,237,067,315,373,152,716,980,559,774,
197,697,257,530,713,286,742,144,072,132,303,123,954,046,461,015,622,258,361,
800,305,004,847,168,850,740,524,420,432,410,281,151,710,838,081,362,789,481,
460,265,483,399,141,006,020,783,307,561,902,381,668,558,342,816,426,319,520,
562,192,043,058,660,341,025,136,042,265,752,599,121,032,180,785,787,256,582,
777,428,083,234,859,344,110,714,622,715,318,347,734,312,109,831,668,411,022,
326,371,401,242,343,707,639,074,549,227,572,355,590,079,649,391,642,406,461,
631,735,728,139,040,911,797,627,601,983,428,220,667,142,781,489,968,628,727,
385,270,037,810,841,051,492,580,728,385,573,839,811,258,983,995,718,289,191,
108,729,821,354,644,403,158,798,054,318,084,090,819,234,159,166,263,878,379,
075,483,371,958,956,090,232,968,356,351,195,232,186,355,624,641,874,590,328,
793,835,932,285,862,332,362,080,558,462,176,872,483,364,798,199,520,366,638,
451,245,414,470,504,644,399,265,438,140,806,305,495,036,852,833,572,411,034,
860,695,583,727,454,046,893,906,693,655,779,846,556,331,589,924,517,589,353,
393,110,715,720,083,696,800,433,881,418,984,864,628,582,762,369,303,690,722,
025,750,953,616,997,873,890,135,265,709,674,746,071,180,757,312,096,367,575,
351,151,295,763,861,631,267,515,254,788,316,213,448,740,804,918,749,620,899,
563,132,696,377,250,357,046,805,401,008,332,382,435,107,450,422,807,261,139,
589,195,129,145,138,301,633,984,135,274,948,436,709,549,021,883,979,845,850,
547,402,979,059,898,267,599,903,200,941,570,731,344,122,916,771,742,133,291,
700,969,172,731,453,528,346,715,739,121,075,575,370,296,119,167,174,336,285,
468,630,553,164,991,242,765,693,778,852,903,369,411,809,293,749,757,626,780,
442,573,366,931,287,891,830,825,803,931,215,826,116,086,966,359,504,055,685,
479,667,789,110,188,736,727,153,171,660,088,405,522,826,450,660,430,548,154,
265,974,136,614,807,216,028,362,410,209,039,582,670,995,776,510,304,403,222,
945,495,191,473,885,545,986,166,690,501,597,606,901,145,627,523,759,079,819,
464,825,987,713,590,207,252,628,786,216,250,381,036,450,872,419,652,904,711,
039,392,559,497,922,391,634,622,029,764,464,990,638,081,117,086,582,016,022,
586,373,302,525,784,675,369,184,313,568,490,507,472,180,013,945,151,197,981,
006,851,470,703,950,427,877,198,764,250,124,753,432,893,588,841,788,004,205,
563,257,037,986,148,634,526,541,381,142,909,885,802,850,746,191,761,051,282,
175,584,488,054,970,690,409,976,379,909,373,719,216,654,494,160,247,972,445,
891,672,650,175,175,915,937,673,273,783,173,427,654,975,474,152,162,356,705,
800,971,724,273,980,598,009,845,918,382,451,584,308,817,438,569,573,176,753,
879,068,223,931,746,982,937,925,750,058,580,640,324,958,754,156,522,265,871,
844,939,932,647,701,648,822,944,585,165,588,408,594,839,775,105,515,265,802,
210,037,586,601,251,415,210,294,209,129,179,928,121,777,691,339,001,775,907,
778,808,751,052,947,154,952,200,053,924,928,338,692,939,899,468,632,150,941,
470,756,447,339,523,862,046,568,245,390,658,442,686,073,398,313,110,360,148,
028,725,933,652,434,731,452,147,463,987,546,492,723,456,510,221,013,095,779,
144,565,093,340,634,136,995,694,928,476,569,850,000,104,238,809,407,151,514,
750,280,354,389,976,782,459,997,420,657,962,075,136,177,603,089,401,938,809,
597,562,339,478,936,977,745,588,612,859,235,127,669,683,943,779,293,720,652,
075,921,212,164,025,527,300,921,105,495,343,919,485,016,849,186,577,684,963,
813,593,273,016,335,068,694,886,563,096,068,360,109,612,115,379,709,747,684,
875,411,037,825,177,327,076,529,730,083,376,073,580,723,870,020,162,724,200,
507,042,368,940,587,709,463,736,376,355,478,989,793,228,946,319,325,842,835,
592,485,964,508,089,060,419,493,608,037,586,957,864,640,883,777,503,587,660,
847,210,774,834,595,066,882,105,505,465,352,661,211,280,272,409,164,980,825,
388,144,817,309,801,870,482,849,476,542,683,110,194,998,718,145,077,612,896,
059,928,293,524,444,882,609,613,321,177,877,514,897,746,543,485,608,873,917,
303,362,306,061,203,898,608,535,745,708,813,215,947,852,749,090,481,933,027,
035,095,291,472,240,250,031,533,462,025,652,983,574,155,373,758,766,420,783,
592,566,036,019,020,244,267,840,768,908,518,369,176,504,541,310,224,529,761,
414,063,336,447,477,781,402,363,704,422,453,558,653,429,874,782,843,457,199,
154,145,162,088,322,173,936,818,698,692,495,308,097,627,688,798,961,371,242,
971,767,851,212,292,779,615,253,454,373,035,570,995,645,564,648,801,863,879,
044,174,895,613,752,180,095,538,730,171,813,109,389,757,631,811,831,271,470,
743,054,848,581,500,344,194,038,913,672,813,653,212,765,164,024,206,209,818,
102,820,524,678,350,510,947,560,200,902,840,737,565,604,585,283,399,657,969,
034,966,485,492,220,467,584,539,360,393,592,844,037,145,203,097,299,785,655,
228,546,121,683,758,680,498,194,085,451,911,823,565,509,907,699,978,943,550,
747,558,458,490,438,813,208,969,222,847,136,683,199,747,968,757,386,381,080,
519,678,554,757,117,849,676,391,646,328,883,578,023,670,569,159,141,789,692,
991,492,497,812,872,898,392,941,840,283,264,580,239,336,328,315,870,616,090,
252,053,650,470,622,363,263,153,276,912,274,715,373,898,595,148,040,595,077,
415,387,072,954,084,070,446,907,935,780,452,924,558,820,768,583,852,492,143,
462,799,686,495,187,912,702,817,518,193,660,588,466,686,225,923,102,624,531,
674,454,435,064,993,221,457,563,960,081,179,883,143,704,110,265,286,478,261,
449,558,350,018,520,034,109,636,405,845,923,823,724,387,181,876,847,655,740,
169,659,540,815,343,959,899,096,822,535,152,930,499,821,897,577,219,481,536,
568,699,236,323,627,850,222,780,830,147,098,074,268,553,389,462,532,519,250,
751,475,832,360,341,751,846,480,013,198,773,523,737,662,495,793,036,587,008,
429,955,950,568,501,519,672,728,679,036,547,058,553,575,894,147,773,189,647,
794,832,055,311,596,205,536,090,236,777,752,436,676,013,645,860,506,249,588,
324,581,469,118,142,672,499,215,846,902,524,460,826,345,528,321,806,038,557,
120,766,515,064,170,453,259,933,089,614,080,638,390,244,699,867,189,401,153,
356,484,947,257,546,257,396,654,971,806,849,347,291,749,443,121,469,281,670,
533,605,078,133,815,492,188,973,771,271,579,176,665,177,113,178,763,189,208,
618,610,719,092,431,414,991,682,077,986,420,330,771,619,396,822,329,114,939,
566,508,661,742,964,943,831,926,753,868,706,340,473,667,925,457,118,397,799,
643,558,288,477,017,425,713,881,840,289,041,152,157,375,111,341,946,229,352,
394,187,935,747,920,425,729,386,561,995,443,776,453,891,208,828,229,165,264,
930,484,742,215,443,441,811,935,404,782,403,955,015,418,406,941,818,852,624,
285,531,433,806,655,382,961,403,023,082,083,092,511,474,640,984,435,889,945,
051,463,043,139,248,100,910,706,579,473,322,082,913,725,765,136,280,425,044,
310,907,958,244,093,342,751,838,293,016,355,990,778,168,330,727,949,717,829,
460,171,732,175,730,433,701,098,748,889,037,790,076,273,702,851,801,236,164,
851,037,514,996,556,781,364,867,977,368,916,880,496,530,123,031,167,544,646,
110,691,501,894,067,121,225,883,401,850,706,522,852,366,697,144,154,977,986,
573,227,394,800,230,639,340,691,696,791,571,649,411,130,002,798,148,600,237,
547,103,636,690,754,504,909,841,344,544,195,998,332,754,829,978,815,412,133,
978,155,207,116,659,013,448,988,085,057,259,434,479,850,443,393,222,559,300,
934,018,241,908,167,411,078,226,325,719,861,770,079,674,144,804,724,678,643,
790,150,675,022,733,008,620,946,230,990,495,125,569,763,360,364,381,445,855,
183,294,816,688,951,610,247,279,714,831,729,677,749,569,347,169,137,286,361,
310,475,141,105,848,341,169,366,400,837,724,326,800,320,825,660,024,387,157,
620,749,911,540,608,406,278,724,196,269,527,035,122,999,675,858,708,877,997,
945,725,929,841,512,764,035,128,035,140,112,001,252,495,887,471,582,701,314,
529,892,802,405,214,743,902,682,253,608,799,509,383,435,018,809,017,689,737,
165,613,622,247,433,002,323,166,915,038,602,747,122,822,677,534,663,576,354,
632,865,359,924,761,992,990,169,422,296,261,042,761,509,264,877,224,590,322,
118,773,786,467,703,229,540,293,197,800,918,003,839,481,376,996,285,893,492,
723,034,147,528,624,848,061,636,505,209,194,437,103,086,598,603,834,494,067,
550,676,952,904,161,087,382,939,630,941,735,897,786,308,827,322,009,578,242,
987,886,953,057,946,591,982,299,116,707,776,618,565,978,675,817,087,999,893,
368,690,198,318,262,479,826,024,177,952,768,364,461,104,451,648,995,814,709,
002,987,070,966,392,860,281,582,470,642,625,717,717,937,605,067,135,946,398,
578,101,094,850,580,454,760,180,337,803,712,145,268,422,481,893,228,339,556,
907,478,461,699,720,474,930,218,615,029,604,996,194,464,057,518,489,079,527,
644,046,322,363,293,977,611,037,890,566,468,689,971,041,667,951,930,352,956,
836,666,999,076,516,695,161,972,444,131,894,977,801,607,618,025,097,758,647,
526,707,358,082,908,839,419,769,718,335,459,177,781,121,756,344,693,937,360,
289,880,207,029,739,734,004,386,702,223,517,634,354,101,059,770,666,229,600,
296,940,342,553,458,484,498,771,812,863,580,789,990,734,817,742,456,233,511,
126,523,205,719,065,883,810,382,200,480,480,186,533,993,484,211,278,612,937,
611,922,296,855,363,138,232,498,361,413,863,075,973,042,497,786,866,199,225,
025,547,917,797,145,044,313,074,198,916,907,409,805,604,191,143,010,533,030,
478,170,663,971,465,449,751,517,591,416,984,544,066,864,223,392,472,595,692,
952,144,142,167,131,033,424,694,144,206,743,767,464,810,532,957,687,584,275,
384,529,884,124,549,212,124,422,016,312,332,109,741,893,511,862,432,532,824,
162,743,919,909,415,842,734,895,772,164,835,423,100,635,742,961,491,232,944,
050,676,432,323,242,688,961,970,515,907,726,231,437,705,790,851,248,112,176,
035,680,882,712,097,333,220,354,313,152,276,959,992,421,494,234,467,178,304,
122,759,918,607,872,060,702,213,167,798,635,362,600,864,021,551,062,470,359,
472,693,290,367,187,664,309,997,853,170,161,408,863,244,977,789,901,026,672,
798,537,682,017,498,968,488,841,165,693,452,173,428,358,942,757,494,327,171,
928,504,814,192,644,552,608,267,251,166,162,532,724,929,702,260,437,755,126,
256,405,362,709,758,270,392,244,774,628,428,191,011,848,777,608,875,180,304,
808,198,449,507,164,889,115,767,919,408,595,687,451,123,306,823,933,014,304,
249,647,821,435,224,241,454,840,967,894,672,947,461,825,385,807,385,973,668,
189,932,142,952,213,730,816,916,478,502,276,195,690,328,585,752,075,248,428,
841,116,410,048,023,463,673,110,234,071,585,230,965,532,741,987,705,629,761,
183,236,970,001,492,148,541,185,907,972,571,738,382,755,022,363,085,032,372,
752,735,498,744,232,021,338,855,295,525,635,869,560,675,871,290,124,849,794,
151,868,339,325,641,490,984,293,143,093,731,121,346,474,100,101,623,625,340,
937,299,876,784,217,466,446,225,062,768,464,695,950,171,260,181,812,905,362,
320,135,634,053,430,416,397,586,346,994,290,921,016,459,112,112,432,686,550,
421,745,691,052,072,687,517,409,135,874,663,581,369,117,890,476,178,645,646,
639,957,089,920,695,641,928,757,589,856,318,217,588,825,630,136,138,494,394,
328,419,495,276,247,222,351,264,423,811,500,850,590,890,968,028,608,750,363,
239,038,514,424,307,031,586,261,706,328,171,684,698,981,478,897,767,340,325,
445,573,583,879,148,272,107,919,861,422,732,301,613,546,967,155,452,182,213,
411,719,505,499,659,237,826,913,423,128,183,938,463,789,994,094,327,560,791,
921,808,557,651,912,066,597,105,296,800,483,839,160,691,807,364,719,046,748,
805,337,835,384,287,941,916,774,506,648,392,811,872,068,727,625,969,261,138,
922,907,610,937,330,819,688,099,728,371,759,497,466,208,748,403,974,056,633,
720,583,861,120,550,139,569,020,693,801,080,961,214,537,595,308,395,218,941,
690,548,097,945,944,141,927,410,900,791,532,127,749,339,246,894,265,319,579,
695,247,289,425,944,746,571,501,362,760,883,281,714,845,419,128,309,622,987,
381,337,738,798,448,384,992,705,625,880,161,386,640,898,756,397,066,610,808,
523,942,466,408,424,690,357,693,123,242,721,279,914,132,881,493,086,759,639,
333,414,283,122,421,174,004,524,968,643,899,310,968,477,420,845,515,976,714,
366,426,357,216,065,422,301,374,348,793,256,710,867,804,049,099,729,261,266,
793,710,679,271,060,825,869,697,822,089,366,000,109,953,276,791,741,761,101,
796,514,543,860,102,777,618,141,787,518,140,918,287,127,073,179,241,331,490,
364,455,805,942,343,962,126,892,760,357,983,880,702,452,658,465,581,770,722,
404,798,042,889,642,092,198,249,835,416,119,532,100,372,555,783,554,658,571,
960,580,842,108,159,554,851,858,641,072,809,074,698,080,441,308,561,531,737,
494,090,611,632,684,176,079,356,775,209,422,829,323,674,064,611,615,650,844,
094,444,428,244,023,086,334,490,944,168,857,538,897,719,498,946,806,182,684,
064,081,567,799,052,881,025,008,089,024,720,422,969,336,672,327,539,306,687,
968,555,499,975,050,465,953,402,975,622,428,689,140,842,247,647,442,792,001,
255,281,259,180,336,680,157,274,908,075,414,419,783,954,945,877,826,781,747,
719,507,558,813,820,750,607,265,016,065,212,556,737,621,898,413,211,241,172,
013,318,116,982,182,456,624,550,000,894,338,263,562,345,392,543,206,001,499,
172,432,091,780,145,556,607,161,344,504,899,888,719,045,549,127,166,664,528,
860,745,544,524,775,778,159,629,731,041,567,986,678,520,527,166,347,751,731,
407,580,483,011,050,246,548,276,380,274,574,856,976,707,393,084,386,420,728,
076,503,260,214,186,540,181,491,379,274,760,940,762,577,019,067,155,198,566,
233,845,186,166,472,124,148,759,099,270,695,229,437,001,516,462,615,489,429,
099,778,067,562,034,856,768,450,194,619,865,262,475,315,281,213,471,058,677,
209,646,404,924,736,664,533,891,213,669,627,013,438,810,734,868,549,045,446,
817,381,852,347,746,039,895,225,900,305,262,420,968,752,472,298,939,613,355,
297,841,746,660,073,710,089,890,385,830,510,518,113,970,770,000,190,987,642,
972,752,527,503,916,570,056,242,807,483,999,704,630,643,539,501,916,291,207,
206,402,170,093,070,361,735,415,531,952,590,268,521,723,904,798,517,741,618,
715,095,338,458,794,419,165,506,123,983,620,972,744,265,580,711,079,208,229,
111,646,180,442,116,022,777,289,299,701,066,915,246,810,978,669,808,449,651,
051,110,214,067,604,545,983,982,343,729,595,450,333,599,138,151,404,292,319,
064,072,888,004,643,107,409,257,065,553,093,749,303,167,837,218,460,341,089,
546,424,688,196,730,046,644,407,657,152,634,735,396,300,364,097,257,802,814,
384,074,872,110,470,727,534,822,271,527,342,008,244,304,126,875,394,732,644,
507,468,200,450,004,765,301,876,872,446,543,540,679,022,951,726,665,029,107,
788,311,279,906,705,079,107,939,397,130,763,348,903,834,777,660,638,133,859,
328,937,483,462,721,988,163,473,252,831,103,786,057,386,723,800,437,411,065,
718,693,660,768,248,170,037,656,388,121,356,249,550,025,531,626,880,077,593,
186,749,292,200,739,061,578,295,823,055,937,935,616,305,268,353,463,383,117,
903,075,647,544,710,886,530,318,915,640,665,078,592,148,995,598,264,158,737,
061,563,032,654,634,986,381,957,452,000,783,883,095,431,707,860,014,639,340,
944,025,458,710,533,839,530,285,771,258,255,403,830,721,195,021,024,817,124,
486,759,268,742,227,715,076,456,790,942,476,355,926,265,525,203,349,982,260,
616,475,721,675,993,075,557,232,249,760,061,846,299,945,633,186,322,820,410,
906,853,342,344,132,217,945,273,001,861,656,141,767,547,317,172,675,606,288,
224,186,865,495,343,353,098,605,180,995,378,190,920,469,469,334,005,146,829,
342,489,042,688,274,439,187,019,437,226,758,235,352,262,936,385,491,560,770,
434,892,812,109,866,303,330,165,955,250,988,387,057,413,613,665,825,321,453,
450,184,468,475,464,392,248,958,108,559,696,729,464,667,596,530,360,229,062,
201,949,081,678,462,611,766,627,163,500,983,223,267,405,145,752,949,240,160,
329,851,309,117,458,348,541,699,873,885,695,903,452,305,334,429,524,065,854,
254,467,753,685,864,994,697,057,476,434,146,654,437,045,452,622,433,928,203,
894,163,974,070,201,285,558,182,663,097,036,397,140,592,417,433,372,940,025,
101,430,629,693,240,508,736,613,169,007,248,095,026,346,484,234,994,750,503,
092,363,760,019,768,838,449,666,553,975,958,966,600,258,845,790,779,948,208,
804,931,914,438,114,459,565,126,441,568,178,637,259,350,704,026,956,310,617,
455,011,392,357,214,047,796,339,481,077,112,739,758,180,761,781,864,548,905,
226,904,504,831,548,637,017,817,763,779,660,572,182,359,619,083,321,179,822,
918,157,244,529,415,584,684,641,803,177,069,874,771,025,179,445,431,275,834,
274,699,002,937,317,325,254,994,594,896,767,972,443,023,559,431,804,186,664,
448,902,855,894,168,977,873,165,377,616,055,750,805,103,659,668,411,816,985,
869,068,181,963,226,411,684,365,866,996,545,464,783,151,713,675,422,232,855,
597,659,656,044,400,441,224,362,481,074,849,591,052,852,028,958,125,979,511,
778,612,879,060,966,351,127,432,017,501,345,170,139,022,937,501,771,726,659,
429,554,251,624,877,370,241,480,422,345,475,708,682,233,647,740,537,285,922,
683,711,984,742,639,159,587,558,002,849,857,950,995,294,147,754,378,606,590,
568,145,315,959,691,806,642,327,752,843,368,497,771,727,039,043,018,024,828,
135,141,880,147,843,032,244,967,836,254,377,135,079,247,611,934,778,753,990,
531,115,658,786,240,443,709,965,091,495,497,997,817,835,219,190,055,913,392,
360,184,261,311,598,361,760,590,776,314,444,758,495,401,555,507,435,574,083,
109,131,692,678,085,303,449,400,092,774,104,981,487,062,029,517,590,084,747,
638,568,781,122,184,640,771,728,510,459,442,833,842,212,531,504,313,130,838,
674,437,929,180,433,447,411,686,238,720,910,658,277,744,987,973,564,044,773,
081,901,730,218,817,422,123,566,617,316,203,958,621,520,138,091,552,033,053,
902,226,309,515,126,853,494,960,877,436,599,411,403,195,538,848,507,177,518,
856,010,373,810,687,717,445,903,074,511,392,046,784,888,695,674,935,624,001,
323,013,128,049,100,879,938,898,842,857,417,282,670,204,484,446,296,901,531,
820,209,786,274,096,240,763,332,450,579,678,629,571,722,688,728,774,633,482,
399,335,911,526,780,330,577,622,575,257,601,178,493,671,733,987,790,354,961,
957,909,502,786,842,754,420,200,137,609,941,077,482,258,720,976,495,654,947,
717,002,163,428,278,892,663,733,956,984,280,525,029,741,900,736,456,069,291,
046,976,159,436,070,832,324,975,017,597,980,987,911,932,789,685,821,198,535,
430,348,651,975,485,756,842,035,614,054,738,933,731,216,104,057,350,169,340,
773,333,036,886,944,279,696,899,306,115,864,809,275,887,259,824,772,117,774,
029,855,064,934,995,859,096,707,609,531,532,146,380,393,188,601,891,408,403,
040,439,326,701,884,524,614,339,798,814,150,956,493,301,337,430,082,636,933,
185,862,545,749,019,987,707,856,014,409,041,906,188,375,232,445,304,792,098,
432,142,785,629,195,698,416,829,878,279,149,335,950,930,799,581,813,731,927,
213,957,297,560,300,505,778,331,237,426,415,815,057,321,246,198,662,350,260,
952,878,626,174,790,471,534,720,405,523,284,187,022,836,476,679,362,240,089,
440,932,424,650,965,730,692,865,049,066,448,895,332,687,344,242,506,005,725,
110,507,952,870,945,988,722,438,748,461,178,160,278,772,799,909,216,697,611,
528,185,659,732,212,392,523,637,111,270,514,781,513,812,029,606,852,994,802,
618,455,161,000,717,156,873,944,550,373,266,005,784,074,300,874,599,218,399,
664,590,883,163,326,164,758,969,436,810,292,120,841,363,185,804,650,682,488,
319,546,366,717,199,469,443,307,124,918,142,172,480,057,523,991,877,877,387,
004,012,715,354,093,805,107,413,847,378,678,117,069,123,571,134,415,388,398,
394,591,332,642,033,875,820,619,981,409,532,378,456,320,142,164,662,272,912,
513,788,876,594,987,447,184,592,202,778,401,631,729,923,936,431,273,675,505,
164,052,821,333,520,588,529,819,773,373,732,908,209,422,862,388,224,875,419,
233,014,039,115,916,980,683,941,364,008,159,867,145,103,763,083,417,054,777,
308,277,712,183,328,717,450,993,299,766,159,709,997,151,893,005,980,493,536,
554,895,106,636,300,012,155,628,723,927,572,617,035,029,035,490,771,469,837,
065,418,643,642,518,111,951,480,741,988,167,049,092,541,248,966,377,441,574,
345,657,197,260,611,890,673,380,744,027,570,460,562,207,010,292,267,156,715,
790,191,019,319,477,841,021,419,121,201,784,146,689,495,105,048,980,966,933,
186,316,521,877,983,494,129,834,953,800,220,719,349,877,837,523,080,267,887,
773,068,851,481,180,039,735,821,601,531,275,757,662,974,863,575,578,546,323,
953,229,739,358,528,605,101,775,747,607,210,513,384,903,023,029,618,540,202,
830,682,892,469,597,009,061,672,779,449,972,083,899,690,285,721,013,349,534,
187,053,142,095,019,380,482,484,964,932,080,023,233,852,915,077,003,189,281,
188,763,464,948,686,771,180,065,940,856,317,045,031,258,535,718,023,907,713,
318,144,563,437,052,223,320,595,865,140,213,818,392,616,674,150,750,953,515,
632,056,727,537,613,702,862,724,210,383,796,719,217,017,999,437,282,071,386,
393,192,224,726,243,395,880,123,106,287,770,068,874,033,507,584,966,141,540,
385,020,482,996,663,358,370,736,153,264,644,758,475,410,971,594,432,307,201,
773,856,961,854,987,310,255,500,205,082,672,238,393,309,441,782,694,993,549,
994,505,480,874,803,834,010,717,390,087,252,638,427,745,289,688,978,845,464,
966,117,182,087,716,201,287,309,251,522,504,792,009,409,525,544,202,918,871,
560,341,202,065,175,759,457,464,524,853,628,571,545,868,701,324,753,121,270,
474,717,372,441,209,304,128,633,253,930,837,708,329,688,822,479,719,672,603,
909,660,505,775,724,671,179,592,461,332,031,220,097,296,768,530,856,662,534,
719,186,133,966,829,638,366,447,735,443,026,657,277,309,676,928,729,153,024,
910,465,873,193,881,625,306,952,588,105,813,954,278,547,353,092,853,104,525,
189,999,960,020,961,326,613,300,195,445,782,280,448,607,428,434,838,751,749,
150,775,722,991,577,586,256,863,873,259,201,915,502,321,893,919,786,055,253,
307,065,437,366,985,935,723,265,857,250,033,656,817,172,313,445,131,786,250,
485,581,742,454,166,812,049,045,815,213,306,461,790,463,276,620,942,093,037,
933,664,020,915,661,125,366,383,599,611,948,493,876,591,840,905,469,266,134,
652,650,800,996,154,765,365,000,365,573,613,481,709,525,939,283,580,997,427,
048,892,798,692,068,491,310,305,739,919,196,911,029,737,532,671,071,038,057,
373,679,013,422,047,564,224,435,992,093,772,747,935,372,537,596,723,302,122,
079,503,974,708,014,362,882,175,905,446,133,357,172,596,447,895,138,578,073,
107,086,888,639,168,200,381,550,357,655,784,689,397,868,211,027,454,036,096,
470,116,673,794,059,798,097,453,277,869,210,809,173,197,957,209,078,372,924,
237,548,789,023,115,329,581,914,721,410,442,163,983,011,263,127,176,878,162,
577,374,697,191,163,141,484,473,722,099,049,473,837,779,997,294,011,713,445,
219,332,679,750,965,688,493,029,977,615,719,672,276,812,366,117,429,996,093,
227,018,600,365,101,676,109,640,856,909,718,010,844,649,387,256,007,939,349,
712,830,684,639,843,827,461,949,096,550,128,072,529,880,953,009,855,920,944,
656,711,737,445,783,157,139,528,950,882,762,179,761,791,374,023,196,505,259,
542,326,143,623,793,013,019,117,481,181,283,209,068,887,926,702,856,408,312,
150,182,411,048,581,779,007,738,293,216,682,737,156,115,179,831,362,044,177,
399,629,386,291,402,752,922,882,390,444,349,945,014,515,077,146,055,245,636,
909,479,195,131,675,460,531,373,327,517,569,326,390,050,652,173,291,014,336,
096,102,525,120,318,804,506,983,699,806,404,713,658,909,159,565,789,016,299,
459,759,947,874,857,557,128,833,541,543,819,051,477,530,684,229,907,884,223,
888,637,924,195,814,461,200,356,733,553,323,554,701,720,615,606,984,679,535,
138,379,701,592,738,776,335,583,423,531,164,523,083,239,436,783,542,942,292,
697,950,511,480,136,991,131,090,656,544,466,789,790,587,486,274,541,837,136,
784,660,632,104,370,368,190,133,428,465,784,742,444,085,483,031,664,509,595,
559,576,637,141,792,793,406,531,327,093,397,759,967,032,044,999,490,128,066,
095,253,645,908,710,874,968,315,366,511,526,921,472,278,674,143,026,535,300,
123,318,257,889,558,446,229,966,648,586,002,026,012,494,967,737,262,020,785,
405,326,563,739,585,539,068,782,969,708,478,346,046,211,649,329,484,338,916,
943,184,515,210,238,103,507,295,352,368,111,752,826,705,683,899,580,623,680,
669,062,859,292,132,638,988,070,105,780,869,649,542,078,967,605,236,871,260,
382,598,968,025,211,270,316,154,614,770,101,716,201,830,455,265,489,211,842,
692,228,298,942,630,304,016,976,176,117,090,415,445,072,095,928,141,883,216,
562,534,878,912,229,446,067,110,656,704,841,344,520,069,920,780,155,198,448,
284,680,507,269,127,724,658,107,183,428,928,885,321,519,386,172,505,062,754,
115,124,335,591,868,419,141,684,822,406,387,052,795,161,129,765,902,505,442,
273,430,673,998,753,907,093,511,784,513,361,756,624,797,998,571,179,049,946,
844,056,857,506,564,046,732,146,534,904,809,646,520,606,359,919,932,920,531,
681,722,798,536,306,299,116,178,547,679,279,060,563,277,586,495,043,661,815,
068,031,896,492,824,799,635,260,729,266,472,215,485,125,186,217,026,797,297,
137,567,177,177,504,081,284,004,882,899,056,806,008,016,463,122,923,525,922,
709,998,902,095,170,361,089,423,246,119,066,432,687,536,368,446,498,666,597,
373,192,353,701,844,057,082,323,714,676,748,173,575,478,591,378,014,060,174,
921,390,312,104,439,277,504,002,602,953,660,278,716,077,319,197,878,472,985,
914,840,758,425,229,727,296,428,094,893,177,665,694,028,811,974,483,345,959,
372,932,786,468,910,350,856,050,219,966,391,529,906,838,099,741,155,157,191,
662,038,807,868,094,151,486,726,503,844,280,680,093,057,211,545,163,477,329,
385,665,234,727,881,700,302,929,000,569,203,922,932,831,341,395,926,371,028,
553,186,785,991,461,245,382,236,338,871,416,836,477,090,480,489,991,012,438,
154,479,376,787,404,437,796,663,098,550,360,112,940,961,932,649,632,340,818,
253,659,074,846,272,156,907,075,059,252,492,780,733,942,347,768,391,560,562,
241,814,820,328,632,076,094,382,812,241,028,077,373,583,640,057,127,555,088,
131,681,117,480,342,848,219,778,326,896,880,311,776,567,256,475,081,583,931,
989,113,732,925,696,473,809,109,220,263,037,748,468,571,277,275,698,004,207,
739,359,179,662,233,633,955,989,795,287,119,824,274,818,876,890,276,798,884,
603,598,987,513,056,515,427,354,693,419,700,291,122,454,981,465,232,000,277,
450,452,028,240,894,443,722,510,492,746,704,124,171,473,797,232,598,036,609,
766,103,861,007,113,558,238,215,395,845,482,257,449,232,024,480,698,543,911,
791,134,295,185,581,847,110,593,231,450,438,360,111,781,095,773,495,301,722,
947,968,120,700,016,545,414,552,325,098,736,747,917,945,031,014,973,343,547,
192,119,791,377,480,312,029,493,207,846,806,790,277,122,377,639,839,964,803,
663,820,625,355,493,144,921,928,116,275,022,547,039,043,409,138,108,361,732,
737,412,573,454,123,949,007,916,710,316,411,303,632,193,234,027,481,084,076,
724,051,767,884,993,307,471,699,668,909,051,218,226,710,587,720,817,314,791,
541,128,088,556,382,078,033,014,777,187,911,066,997,785,835,605,619,252,052,
163,059,333,754,038,385,452,748,101,769,898,458,981,272,490,121,829,006,089,
128,005,227,293,994,253,656,601,993,815,766,782,863,470,499,859,944,608,238,
505,662,610,929,177,988,438,999,762,543,593,336,172,048,628,945,819,905,076,
027,648,668,402,257,322,639,697,911,138,205,670,958,714,516,377,091,742,988,
676,511,348,968,973,996,534,037,165,896,911,575,385,278,577,993,676,544,824,
632,697,472,871,938,542,654,502,796,675,192,273,775,141,562,874,864,615,288,
443,865,304,102,452,456,572,505,795,856,960,499,337,471,306,999,691,449,510,
727,808,533,910,580,865,661,295,275,453,121,298,304,376,448,379,743,551,318,
349,627,424,492,863,005,413,540,862,750,397,754,819,473,659,873,321,406,212,
849,674,072,603,291,862,610,031,067,201,534,879,339,203,294,734,098,759,849,
676,887,743,362,063,401,816,711,212,040,698,144,651,480,062,442,152,917,213,
115,869,189,438,796,708,947,444,245,962,013,229,809,317,398,586,408,729,484,
910,027,432,824,944,695,753,885,509,027,710,029,942,518,287,547,543,821,765,
714,583,200,934,862,465,025,922,892,052,028,746,330,676,311,196,092,727,079,
397,059,134,717,530,259,395,897,925,777,383,455,150,180,195,761,449,649,976,
080,481,320,939,905,498,415,053,197,706,465,192,575,371,498,090,111,541,999,
798,842,613,470,379,053,846,940,663,469,988,554,531,589,730,106,734,799,015,
974,840,215,774,319,438,195,482,935,227,013,614,491,217,534,477,087,651,468,
502,022,022,005,027,660,024,735,634,593,193,957,800,619,758,266,052,092,216,
434,410,537,550,883,657,581,924,365,989,152,864,662,869,806,572,883,979,598,
846,642,325,220,753,730,772,813,249,844,513,491,518,035,695,690,743,969,261,
858,456,953,755,396,604,581,214,943,690,598,594,007,595,242,854,841,704,727,
071,100,140,685,052,611,582,326,026,814,334,149,263,136,719,026,213,145,565,
237,601,207,780,484,108,270,705,785,873,226,218,131,941,004,862,482,552,118,
973,037,372,774,051,051,189,667,814,395,768,794,519,504,226,569,172,396,539,
610,325,819,819,563,972,649,085,604,377,882,247,766,456,636,120,655,872,408,
049,872,256,372,689,542,571,707,848,689,145,943,377,794,990,695,616,314,453,
991,763,990,503,021,694,800,937,929,295,627,990,563,377,366,162,574,267,456,
044,264,856,117,759,535,528,769,182,157,866,407,500,968,748,097,058,799,946,
677,733,288,427,068,418,674,770,158,994,236,216,514,251,466,826,200,031,529,
729,286,066,680,249,182,505,301,734,406,227,065,292,132,325,814,176,865,837,
135,354,464,153,465,704,973,995,075,222,687,288,259,782,819,987,597,559,282,
679,188,829,329,713,643,598,746,848,875,425,642,927,289,944,858,845,902,649,
240,370,610,140,321,028,541,264,872,515,827,756,754,020,544,519,237,735,340,
601,506,848,913,838,136,582,727,043,649,315,520,597,783,503,511,235,558,735,
310,019,031,525,955,513,220,900,001,265,085,450,760,709,054,687,687,065,946,
185,390,167,092,761,102,824,830,975,712,331,679,316,755,426,373,015,537,521,
068,170,658,527,414,385,401,106,909,802,771,914,011,341,986,630,044,242,579,
424,317,602,464,143,110,825,849,461,573,232,560,672,973,896,761,664,644,652,
962,684,139,112,935,047,603,572,750,526,387,608,846,786,144,564,282,988,886,
976,754,155,667,374,271,185,874,465,993,488,181,783,986,861,190,224,391,955,
941,272,737,876,207,540,317,844,866,952,028,488,101,978,465,498,679,002,014,
361,230,299,074,680,870,976,772,137,776,825,877,087,850,665,662,436,426,105,
654,964,553,909,820,982,711,251,024,205,916,973,881,867,024,182,106,276,865,
482,612,516,589,580,104,832,840,894,000,840,523,621,753,946,296,611,637,965,
855,303,542,744,215,236,674,525,100,231,151,348,802,246,182,125,762,353,908,
023,554,200,834,336,389,394,146,029,382,325,876,268,361,090,785,361,516,034,
352,538,628,940,705,628,321,050,376,086,569,053,738,744,368,132,894,596,830,
451,211,075,544,299,632,686,807,548,825,349,285,322,465,960,126,886,451,161,
085,168,275,417,582,585,649,856,567,600,105,166,215,400,041,003,892,858,381,
734,938,681,465,842,475,292,655,717,992,970,228,671,394,156,673,234,911,795,
886,132,334,554,110,819,590,756,048,629,145,310,093,995,179,560,649,187,973,
440,912,789,809,714,639,991,246,504,898,890,088,800,979,585,314,921,126,991,
816,053,348,888,523,483,514,623,454,666,322,608,927,431,879,297,415,490,717,
968,104,253,399,100,949,442,759,160,259,652,015,056,809,960,915,433,524,916,
081,088,957,908,091,638,787,942,677,829,506,143,951,828,246,717,967,241,824,
280,099,605,967,359,265,265,248,145,961,056,501,662,900,507,905,170,870,808,
760,598,681,251,957,170,944,818,714,423,030,755,362,126,935,619,574,165,603,
501,750,676,637,324,168,480,534,528,135,714,597,486,529,743,201,658,781,032,
853,849,603,674,976,833,370,308,284,603,573,279,224,806,231,953,869,419,445,
775,946,436,851,043,923,691,840,557,424,148,765,201,941,939,638,239,892,354,
741,956,431,911,579,553,976,223,996,154,511,206,576,051,421,397,981,919,295,
871,387,621,236,485,303,515,281,139,218,527,154,388,138,139,058,859,806,050,
126,443,953,841,287,302,659,868,252,713,527,428,927,461,214,886,124,736,158,
322,321,332,088,992,819,084,889,538,456,452,461,809,348,144,854,241,114,784,
450,768,735,715,649,153,595,418,083,619,722,231,933,728,418,297,027,932,753,
215,781,092,766,897,745,773,906,016,599,222,053,474,596,486,122,923,394,447,
982,848,546,296,054,175,922,209,986,954,561,756,221,540,936,234,444,248,995,
562,660,063,292,954,472,787,036,948,982,221,371,159,679,398,292,863,036,287,
489,439,778,554,106,345,691,884,865,702,417,097,324,166,170,734,205,893,467,
538,563,346,992,443,718,849,865,010,358,270,847,472,303,026,358,936,867,741,
347,875,249,618,321,816,160,790,448,603,902,616,075,138,243,208,671,172,826,
796,050,451,231,930,821,922,421,636,696,551,823,955,064,292,588,656,008,930,
738,839,326,396,615,345,514,138,112,979,170,500,671,873,855,556,518,372,923,
760,491,903,234,320,762,761,509,802,735,093,654,584,145,458,397,258,147,729,
175,941,359,204,001,668,166,769,345,133,906,600,351,765,183,269,632,553,721,
415,357,617,658,002,849,492,025,145,986,207,794,657,143,605,296,835,953,620,
800,523,073,396,382,449,906,095,385,518,064,583,901,101,192,819,060,377,107,
426,483,788,453,280,157,479,200,668,516,104,710,354,984,975,699,946,527,574,
692,701,458,790,613,612,981,979,840,861,692,329,034,615,762,430,393,853,105,
463,737,331,667,352,243,370,815,572,002,093,936,487,076,570,473,268,303,580,
241,599,222,270,938,650,090,270,989,270,531,983,493,825,924,163,931,582,647,
757,881,078,409,722,224,521,047,338,972,599,192,940,355,712,426,845,467,706,
438,120,805,497,851,634,292,853,910,325,702,586,407,659,291,607,169,674,136,
971,926,874,020,366,791,704,586,974,585,281,052,205,049,693,743,820,222,507,
164,366,221,133,341,389,071,116,394,979,391,322,100,135,260,430,403,597,362,
266,255,824,845,358,583,249,186,510,802,978,430,893,088,299,848,777,730,189,
812,760,744,064,390,786,628,313,230,800,862,556,401,762,472,025,334,510,258,
395,348,101,475,712,246,715,644,448,220,380,322,532,712,719,215,817,293,692,
041,044,537,678,534,446,801,080,701,859,032,120,097,703,306,507,198,896,466,
890,582,692,057,495,963,493,649,541,330,513,372,600,160,194,984,399,213,572,
000,422,880,971,279,775,298,049,657,112,285,969,348,189,469,945,754,805,602,
486,105,042,419,457,767,538,512,053,034,344,915,058,638,654,502,393,579,738,
359,361,936,689,040,288,409,331,376,201,967,766,046,209,048,856,497,954,913,
216,633,600,931,515,501,381,140,039,120,357,632,842,654,891,740,131,784,562,
585,368,977,325,965,529,602,751,183,238,264,785,235,252,773,959,880,578,641,
477,046,163,188,077,895,238,115,206,761,767,173,144,017,015,889,641,424,361,
345,726,380,995,288,091,738,912,970,248,955,334,523,759,130,302,958,961,034,
036,027,785,348,015,697,160,973,946,702,255,403,316,797,427,013,261,607,804,
746,745,561,683,194,422,696,667,752,280,666,404,568,359,926,330,804,626,867,
126,538,133,630,612,719,089,126,251,750,151,286,666,594,792,094,370,252,632,
533,403,393,655,315,203,963,165,947,321,643,103,952,822,706,912,933,019,307,
380,541,811,047,653,685,199,470,127,478,599,389,131,399,166,034,225,458,234,
251,204,705,089,146,876,079,319,855,031,776,271,683,524,777,847,704,168,066,
408,292,838,969,645,956,613,666,970,784,556,279,443,535,260,955,202,614,054,
039,004,925,352,864,571,036,149,415,279,681,610,266,158,733,655,828,588,420,
777,076,437,693,570,656,900,274,373,092,951,240,110,112,186,199,334,252,924,
865,603,645,472,212,615,523,906,617,448,831,384,331,743,512,281,868,036,755,
942,381,140,661,322,427,767,210,639,402,410,757,591,731,586,191,814,441,780,
274,833,883,792,614,349,519,558,357,862,808,855,747,667,371,262,716,099,437,
019,046,555,566,976,276,019,546,911,141,594,804,082,260,885,271,374,392,380,
634,706,301,950,515,486,488,711,813,551,096,387,016,274,456,744,464,826,924,
692,478,287,866,413,228,915,102,549,894,229,127,398,513,268,138,014,468,448,
609,799,670,018,023,118,217,551,463,005,784,938,785,583,459,091,984,370,336,
066,588,507,614,231,230,846,490,955,767,675,126,578,858,923,091,260,372,280,
258,049,811,424,490,350,198,505,954,506,461,263,473,689,567,456,081,168,299,
624,660,418,036,945,052,887,606,377,546,794,274,602,354,463,536,314,708,380,
889,437,400,055,798,644,241,619,266,833,749,819,009,477,004,120,329,394,931,
582,512,946,801,031,645,248,641,487,867,178,720,889,671,022,286,220,108,509,
537,255,642,217,610,779,769,938,539,061,897,396,886,541,776,905,524,242,559,
171,892,837,123,236,178,688,974,424,051,034,874,284,253,624,573,515,724,715,
543,745,510,706,601,345,415,602,969,273,955,093,958,621,662,215,515,357,877,
365,967,684,461,475,081,048,612,194,173,896,345,178,105,836,770,982,479,966,
597,459,009,625,496,386,844,376,326,494,601,298,870,512,453,360,690,061,939,
367,625,285,769,738,853,188,000,468,401,934,458,344,342,008,128,917,539,096,
483,521,511,921,289,616,873,275,541,565,016,136,170,800,865,352,195,505,630,
350,009,033,816,001,025,330,582,527,903,195,710,259,627,076,823,971,377,801,
298,194,539,240,735,976,349,841,202,040,817,985,007,296,023,422,421,527,406,
202,367,823,323,640,807,975,991,993,636,797,339,672,573,016,902,419,176,799,
065,508,607,415,093,228,419,586,158,486,272,083,576,984,268,330,738,911,407,
439,258,363,403,333,976,218,178,349,149,793,767,619,010,766,490,992,330,424,
923,794,139,453,153,899,238,848,714,037,282,236,216,414,154,131,668,925,389,
208,047,694,787,049,614,271,399,819,944,733,153,824,584,355,215,906,750,039,
172,121,254,189,053,211,455,049,437,078,414,113,902,183,560,982,350,604,375,
907,043,060,621,568,361,198,955,537,624,709,454,758,287,063,341,801,770,697,
771,601,286,889,175,776,731,339,038,501,822,151,064,672,655,011,522,128,339,
515,727,550,545,446,558,297,011,527,835,361,970,143,670,270,221,948,234,681,
853,592,833,415,710,676,168,358,702,266,589,837,542,233,245,911,432,523,386,
157,010,925,891,036,181,409,616,602,540,710,224,889,500,476,042,792,016,636,
871,632,033,905,504,297,441,657,377,538,358,133,627,583,499,972,544,359,430,
835,254,029,794,697,663,609,142,578,592,148,080,166,575,756,925,610,145,903,
309,524,212,069,608,261,322,287,677,451,688,414,942,195,472,044,021,849,456,
473,733,288,542,058,670,556,051,174,060,251,420,973,327,928,520,195,952,231,
814,854,525,122,522,819,329,191,605,627,222,271,125,169,659,179,796,254,469,
283,382,092,856,923,270,443,012,741,326,543,254,608,570,823,501,237,765,449,
042,299,160,605,774,024,800,365,522,935,125,718,786,028,644,386,084,512,908,
999,399,222,564,076,530,034,736,172,039,037,524,432,876,078,353,963,681,047,
314,323,474,360,768,809,952,774,562,148,988,460,334,781,666,332,723,186,211,
678,521,729,553,468,973,728,737,612,202,586,156,287,291,121,867,281,741,442,
181,736,849,945,325,369,487,206,629,766,916,818,099,055,822,317,695,135,845,
008,690,254,158,014,769,867,619,042,690,423,055,452,978,063,354,841,213,041,
480,931,469,611,085,861,906,427,794,009,709,768,277,846,585,815,907,707,202,
230,360,617,168,970,771,351,732,075,235,069,212,161,919,918,975,293,707,981,
327,179,089,745,327,564,388,361,941,582,658,411,838,537,195,879,866,575,313,
422,712,751,226,353,702,320,653,212,865,301,552,087,309,907,672,815,499,003,
952,779,417,577,812,516,837,267,305,803,560,250,156,066,342,764,778,756,391,
980,610,618,183,810,414,192,780,315,674,241,647,635,271,515,008,365,832,881,
364,489,191,092,254,201,727,792,579,151,129,607,701,500,554,015,452,461,407,
111,443,019,274,223,379,343,881,060,457,384,650,881,745,135,494,082,740,650,
155,340,049,001,812,834,614,249,936,505,531,227,968,249,190,445,349,052,319,
129,854,746,434,491,690,916,687,646,963,437,877,874,057,211,597,587,559,748,
477,151,333,393,959,577,310,311,067,784,032,790,637,052,732,511,378,477,455,
132,834,194,669,775,667,221,812,700,855,041,731,632,045,973,109,024,020,756,
765,288,385,914,952,988,193,147,863,057,299,249,008,533,094,337,197,051,579,
471,430,509,529,358,095,835,537,475,924,946,576,431,358,725,391,555,800,155,
651,654,477,473,184,226,144,053,238,232,736,471,612,386,768,486,439,298,774,
754,000,884,953,082,309,675,597,958,033,398,080,242,386,447,228,646,674,075,
942,738,591,130,972,344,389,364,501,949,622,106,212,166,753,205,902,355,285,
857,666,484,751,991,220,969,649,005,131,498,187,419,468,995,227,651,379,943,
519,489,727,462,026,397,333,061,467,628,396,347,140,819,915,479,883,150,910,
304,591,802,545,082,422,150,941,196,446,426,978,285,778,511,187,172,465,334,
973,867,671,733,654,869,052,225,151,796,676,358,735,119,862,616,706,915,173,
713,431,656,602,612,716,377,558,298,637,969,741,970,739,060,909,744,434,116,
341,632,742,020,584,290,725,931,560,688,486,889,120,712,977,977,690,020,409,
900,971,331,146,231,186,348,493,002,506,231,414,188,712,746,324,990,190,956,
922,232,310,188,354,681,153,228,834,715,099,657,501,674,793,276,965,359,383,
713,485,999,510,453,359,585,969,937,884,435,614,761,460,895,710,321,442,716,
137,391,453,754,476,675,281,827,838,952,524,790,513,013,391,513,136,316,238,
880,404,231,734,346,852,973,235,003,946,970,385,416,502,733,743,317,381,505,
313,171,339,511,234,026,068,545,185,518,337,459,964,342,364,304,083,853,172,
471,575,626,611,799,059,443,598,299,524,864,755,143,930,924,220,689,771,512,
174,648,401,657,670,137,412,436,342,187,965,381,438,557,658,499,335,664,539,
679,396,240,865,239,214,773,254,262,244,724,867,653,854,420,994,383,127,863,
344,489,367,359,305,379,172,629,129,738,915,563,874,840,739,091,706,750,336,
369,009,954,194,946,125,441,889,913,241,356,679,438,196,366,659,297,398,254,
101,201,516,941,594,435,565,238,275,322,309,740,717,266,933,177,704,487,553,
911,818,976,199,830,126,456,409,588,007,296,493,557,600,287,669,164,506,887,
576,856,998,570,857,054,437,479,915,819,475,794,884,975,542,053,173,227,030,
150,031,191,193,487,605,731,803,768,153,298,812,682,720,838,325,981,391,240,
827,875,085,715,886,480,235,700,346,428,557,372,209,567,005,362,443,387,039,
455,160,937,876,582,591,873,089,525,942,151,478,796,575,890,504,121,445,307,
510,826,423,297,006,948,364,749,239,058,994,526,518,357,787,095,306,668,023,
598,776,093,251,266,184,311,159,217,692,348,452,723,192,448,314,154,806,728,
587,598,821,646,478,031,096,894,036,977,906,939,408,175,336,496,383,938,009,
898,190,329,471,072,298,343,140,497,627,087,416,309,000,488,644,185,917,878,
317,930,051,333,097,960,446,943,994,289,734,902,332,000,537,153,512,604,121,
102,709,563,444,571,134,422,556,039,998,680,571,979,225,185,037,531,415,412,
414,816,046,701,538,066,399,644,908,461,126,382,292,271,490,938,317,352,341,
171,770,943,715,685,264,623,779,501,888,871,707,311,738,933,184,182,776,982,
779,879,427,815,528,648,993,262,635,055,719,016,378,420,559,966,120,716,986,
692,536,427,546,017,253,609,495,179,678,546,519,241,841,357,084,664,904,558,
872,882,445,085,686,208,258,874,618,455,293,537,134,083,508,804,050,995,900,
045,459,529,662,312,235,917,189,867,651,040,105,485,660,317,133,433,765,403,
435,115,956,126,363,127,119,233,800,164,708,559,195,361,471,325,948,608,584,
501,870,861,329,110,311,450,345,386,787,574,388,525,539,385,379,035,454,181,
729,405,207,159,673,161,837,963,325,267,586,031,388,083,576,651,017,483,528,
851,847,991,291,251,052,226,354,437,341,007,127,613,586,155,530,200,185,155,
183,999,841,028,042,450,098,347,892,959,296,506,301,533,145,692,877,505,574,
545,213,632,390,023,844,239,244,785,141,226,872,678,451,448,426,879,007,111,
274,214,413,909,894,962,192,567,614,186,815,066,538,497,867,367,387,887,119,
850,949,508,904,741,923,969,930,002,974,046,166,772,460,834,692,621,989,315,
077,682,028,120,487,842,521,459,719,787,169,149,657,828,998,691,938,383,190,
957,138,237,036,885,765,986,433,590,470,283,082,383,319,047,084,069,623,702,
371,902,506,641,480,797,243,888,872,421,056,065,792,596,581,002,868,464,099,
763,655,192,114,545,748,477,591,871,313,485,051,276,224,376,903,872,890,513,
948,073,988,146,339,409,674,420,045,786,731,826,503,734,161,776,518,121,675,
125,265,365,045,810,597,677,605,927,745,628,327,950,677,129,619,078,347,061,
489,122,896,806,585,450,803,095,670,284,290,583,756,872,782,006,749,216,019,
193,076,582,014,476,400,573,774,263,202,410,100,955,997,518,605,039,734,761,
196,493,368,479,160,362,701,483,510,492,710,723,287,149,148,635,404,107,811,
340,228,501,791,037,182,212,554,525,539,526,168,642,050,661,923,421,434,598,
419,509,006,878,509,334,932,972,760,499,501,861,503,688,238,117,221,815,111,
655,005,988,032,841,227,564,593,352,592,569,130,568,057,640,788,733,182,773,
663,737,948,674,028,524,314,388,547,359,020,726,348,095,413,132,903,386,646,
664,937,384,570,004,107,813,191,375,872,154,876,459,364,209,136,785,887,044,
635,535,526,438,840,297,732,765,477,755,154,400,395,306,311,071,194,630,197,
065,775,836,241,683,665,582,206,310,920,149,175,725,408,313,865,000,055,732,
246,726,904,941,394,805,683,041,824,642,044,382,542,722,482,356,134,452,488,
800,172,118,028,681,526,083,125,441,324,407,772,773,977,024,281,799,376,288,
000,616,445,845,541,966,406,825,833,446,095,161,139,201,285,715,445,637,255,
623,563,541,913,914,898,452,066,953,962,777,421,249,076,103,177,186,383,877,
804,062,471,803,798,070,171,224,072,020,892,181,386,694,878,777,730,038,441,
539,138,993,408,981,477,321,307,641,444,857,099,025,026,161,702,218,802,268,
939,273,291,775,651,676,846,556,792,309,301,945,280,605,572,631,034,072,481,
469,435,154,371,094,242,818,038,167,089,587,264,316,258,509,071,383,055,655,
552,739,132,424,665,801,182,569,587,611,260,147,881,351,572,585,806,277,315,
382,679,938,518,413,203,635,071,878,430,829,560,373,884,980,400,736,364,739,
746,318,272,696,908,458,116,326,229,954,516,140,534,293,342,178,198,577,820,
419,746,437,211,207,788,335,006,494,077,698,338,065,322,804,404,911,857,984,
726,880,349,979,556,507,757,513,468,582,724,112,156,627,523,090,695,090,510,
318,158,523,873,075,920,964,017,016,220,630,489,280,519,972,578,488,681,531,
688,443,191,564,779,945,121,610,275,591,881,104,582,744,028,119,256,242,283,
375,825,980,915,650,949,668,316,130,986,502,386,499,243,991,610,357,548,814,
838,316,430,255,328,821,657,283,358,320,474,177,252,239,765,589,416,927,428,
903,773,016,359,856,898,993,058,959,758,951,545,332,313,295,798,778,337,916,
459,722,855,543,422,383,495,925,187,827,277,160,550,829,458,215,828,057,374,
074,820,593,939,960,047,555,590,976,779,710,080,927,682,376,394,545,674,128,
212,115,265,529,467,556,945,864,134,340,687,402,689,569,021,091,161,851,099,
440,541,113,807,724,571,397,626,961,469,697,120,488,282,943,306,896,305,741,
207,366,447,888,006,276,011,481,414,637,808,971,369,360,163,054,493,053,304,
229,863,237,492,817,393,783,897,578,713,344,363,477,061,842,185,024,251,187,
003,154,784,217,252,315,143,240,343,551,776,822,052,070,505,287,420,860,002,
236,124,024,830,457,506,172,675,413,126,975,990,240,424,103,570,973,786,539,
933,449,003,249,511,222,232,774,418,068,529,369,532,217,666,284,501,459,136,
504,502,733,508,794,540,554,215,757,517,837,239,499,025,249,555,945,452,409,
650,460,693,410,538,322,548,569,975,976,411,607,812,928,496,622,294,939,009,
925,280,566,330,694,689,405,769,453,031,951,140,826,724,226,107,501,461,201,
271,879,954,900,884,066,936,520,374,381,249,004,103,531,811,347,863,237,600,
916,563,923,753,718,199,546,585,681,976,452,562,145,358,696,703,992,951,622,
023,797,665,091,728,156,212,465,631,652,267,514,509,236,926,192,086,416,690,
132,289,872,955,237,859,162,797,407,005,953,451,514,496,039,439,523,064,495,
444,742,722,487,629,007,102,186,356,065,287,985,153,449,150,269,733,463,106,
292,609,781,993,499,143,342,496,724,056,928,049,186,482,200,950,937,272,393,
662,551,481,213,236,563,642,028,320,799,545,477,535,069,433,075,520,392,327,
613,692,223,365,637,141,138,013,902,832,581,731,453,842,395,309,483,295,813,
568,395,471,097,484,581,430,770,850,093,655,758,070,310,967,646,579,223,427,
011,306,923,668,377,881,967,629,339,492,576,678,242,521,133,203,464,059,869,
251,200,876,380,415,728,183,392,540,053,760,745,471,454,500,674,042,088,115,
256,390,002,961,703,719,957,639,716,590,172,426,909,537,233,598,584,071,532,
303,508,987,172,774,893,851,167,328,135,924,785,288,691,698,041,475,921,505,
568,572,438,049,391,530,890,527,986,900,494,136,438,017,404,851,090,272,451,
698,453,547,202,345,583,769,680,769,305,640,213,880,961,039,951,899,996,372,
214,993,909,904,863,870,591,140,788,760,629,077,919,943,865,884,209,506,834,
768,430,864,811,396,839,141,757,242,335,401,579,978,333,889,535,866,157,797,
957,313,956,714,342,297,351,663,255,772,156,133,863,291,174,651,345,619,974,
593,439,605,212,706,948,917,445,845,184,157,003,671,769,699,964,743,517,319,
650,934,792,221,986,278,471,805,597,061,340,369,051,655,197,626,014,027,415,
478,771,489,756,110,743,861,330,736,180,243,121,804,397,021,773,881,999,907,
871,397,877,744,694,598,173,997,246,248,104,977,035,372,050,845,917,884,420,
616,822,634,543,538,613,304,305,826,296,448,094,439,036,923,877,317,008,393,
481,560,970,289,316,356,890,777,669,591,305,656,346,454,548,541,786,430,092,
581,241,697,895,900,237,672,388,493,305,783,097,898,161,523,207,418,542,753,
405,053,201,529,753,116,282,302,108,967,881,688,600,088,912,001,281,260,894,
708,263,232,820,333,954,622,784,774,103,007,395,295,811,193,790,108,583,234,
383,454,338,653,843,888,085,085,033,295,607,897,267,495,165,602,851,322,247,
468,700,010,321,061,690,198,286,376,588,058,524,571,367,694,787,282,545,604,
935,234,473,964,426,534,012,372,746,091,641,222,657,831,428,415,171,346,092,
120,031,254,397,908,316,408,912,124,741,108,656,140,658,335,685,360,722,666,
749,084,303,061,291,928,600,974,360,600,174,704,426,009,370,442,348,489,528,
220,113,813,267,313,748,285,587,910,480,666,579,310,362,046,334,294,325,024,
583,401,813,341,285,543,145,171,883,879,631,767,000,282,627,745,222,615,356,
699,643,892,037,645,474,610,625,879,881,250,406,903,525,535,693,612,098,315,
154,235,571,768,762,224,770,753,570,173,823,076,303,258,514,578,638,647,260,
439,932,004,778,876,438,400,209,938,594,233,465,183,347,337,890,711,792,559,
745,886,061,925,378,040,806,846,594,429,882,727,571,646,988,369,548,517,892,
930,368,424,098,375,346,360,782,727,713,799,621,843,959,099,424,599,318,170,
005,025,565,847,817,061,016,061,533,104,016,572,960,800,274,245,393,289,814,
418,433,135,711,581,310,298,896,906,937,660,723,122,218,727,236,543,978,429,
894,186,105,702,287,284,250,366,902,720,201,275,009,342,504,716,848,078,626,
445,944,632,315,469,122,124,258,672,683,163,321,841,778,715,992,747,990,503,
678,578,748,001,431,601,166,374,017,706,466,147,278,107,899,006,731,203,397,
291,084,873,887,026,651,046,158,064,669,353,852,334,853,879,423,045,239,316,
363,949,431,773,474,954,566,784,210,420,531,924,787,699,073,984,285,198,618,
074,405,613,465,021,144,265,770,381,294,419,103,844,361,990,061,334,422,694,
420,606,547,794,168,110,014,863,509,567,487,495,390,930,326,173,114,401,312,
874,896,536,604,725,021,924,976,415,042,376,771,988,063,408,701,912,295,254,
965,095,196,745,897,507,004,996,325,432,988,084,320,391,110,205,028,226,546,
209,397,679,093,424,090,773,202,907,047,654,460,468,662,632,269,568,158,731,
423,186,184,167,443,545,339,441,835,403,733,187,528,400,358,335,239,950,031,
422,589,073,955,731,327,594,240,527,246,750,824,013,860,683,080,305,366,314,
134,253,322,163,898,919,467,585,935,821,934,720,851,753,130,480,147,897,015,
654,732,509,506,204,383,574,756,582,201,412,704,145,847,453,840,817,047,239,
628,779,953,949,144,702,739,799,110,101,844,882,126,735,718,071,791,325,195,
337,821,807,683,986,922,834,989,455,253,489,520,756,079,119,810,782,099,306,
510,693,909,716,151,898,696,031,679,701,600,910,939,652,976,337,580,200,691,
966,093,586,415,814,112,313,287,223,597,356,268,907,532,251,647,580,374,071,
866,397,617,964,195,555,099,083,204,506,692,366,577,400,749,046,452,039,212,
682,844,851,483,027,929,105,010,779,863,420,513,424,145,497,212,675,529,026,
703,431,620,587,990,371,262,846,290,894,569,524,813,316,267,154,445,195,921,
876,194,867,771,466,788,702,385,457,735,551,600,506,700,013,462,148,275,485,
294,918,212,428,349,394,494,657,408,248,424,322,607,590,327,742,726,024,856,
130,593,265,605,481,074,625,010,823,911,632,594,476,062,373,902,742,420,342,
784,648,038,737,100,962,405,618,818,890,453,243,677,737,867,183,891,776,665,
289,707,367,693,763,548,258,475,427,243,947,206,066,011,907,195,025,735,978,
159,234,753,489,279,033,800,718,689,260,060,442,304,408,413,840,972,298,694,
121,230,374,623,162,831,823,774,251,929,503,787,472,212,293,064,047,484,548,
593,608,728,829,470,349,726,275,170,782,044,365,470,353,644,491,938,666,880,
472,872,242,948,172,781,611,192,075,285,260,125,188,770,118,731,627,726,737,
947,617,484,955,705,138,412,461,056,103,003,893,117,300,627,946,446,168,332,
244,181,159,877,779,930,403,899,098,771,457,292,172,129,580,685,704,779,914,
790,841,525,366,263,258,423,898,629,592,840,491,627,558,583,508,258,071,735,
185,491,752,196,914,608,215,476,123,022,126,246,217,836,942,020,754,723,626,
374,758,570,794,646,274,069,302,399,942,139,893,092,206,628,240,436,112,498,
181,763,051,542,240,744,374,942,722,646,850,313,828,658,150,883,143,932,498,
948,874,638,531,451,766,424,052,479,441,789,502,300,164,880,116,458,263,616,
806,806,796,716,051,588,613,613,433,833,476,414,912,683,145,693,272,064,273,
334,362,670,170,846,669,666,602,397,857,168,449,141,990,198,019,172,684,215,
451,674,569,525,217,878,040,307,890,624,924,249,063,659,137,625,660,994,000,
375,286,411,174,615,819,527,892,927,991,121,153,812,496,888,160,327,887,573,
463,869,752,549,559,258,452,102,886,600,059,494,252,764,581,839,103,565,136,
093,893,884,546,915,802,749,255,042,595,049,792,503,813,942,230,027,060,797,
486,072,250,363,066,061,851,160,421,667,919,315,856,117,587,682,030,414,484,
210,779,467,721,600,723,382,846,602,070,533,267,192,168,063,453,368,955,310,
989,453,349,224,109,485,443,027,555,036,876,300,569,767,774,082,002,099,515,
830,762,170,760,543,967,003,818,047,426,350,867,851,135,990,812,130,169,038,
983,494,332,700,002,157,900,771,446,495,017,889,716,392,040,119,614,235,363,
633,084,177,950,762,503,119,433,240,714,864,063,331,289,914,530,372,393,530,
594,930,465,769,002,749,380,016,032,442,378,643,843,033,993,069,338,514,505,
903,719,044,413,877,014,926,479,482,607,584,467,630,986,007,478,784,195,933,
357,819,019,677,632,078,143,705,521,038,906,337,982,302,576,424,387,346,707,
347,898,655,835,942,978,908,236,790,100,416,065,130,626,375,012,285,141,706,
060,288,596,119,890,847,667,109,084,923,699,037,199,731,859,133,608,149,301,
865,337,586,209,017,479,824,317,617,586,564,724,988,274,841,021,705,468,696,
545,265,143,766,937,904,691,094,877,274,305,126,946,229,072,270,603,146,910,
736,394,524,530,221,756,769,355,242,669,480,239,271,075,902,282,623,065,122,
842,784,802,208,906,458,302,067,423,332,092,494,424,910,598,004,774,568,556,
658,031,821,242,253,209,745,155,161,601,532,047,308,182,966,353,453,616,255,
135,577,928,598,794,846,799,612,864,869,704,512,099,963,024,850,310,844,315,
131,482,963,245,071,688,339,197,675,334,470,007,295,654,720,606,670,776,315,
105,713,015,449,333,381,763,486,497,069,179,527,519,454,410,624,953,612,995,
271,480,918,457,154,254,021,335,825,662,167,529,443,981,948,355,943,672,206,
752,031,718,804,155,060,657,310,048,034,458,238,571,608,488,172,928,357,064,
237,889,247,362,654,608,281,720,478,416,189,315,234,054,137,873,533,116,888,
753,827,869,132,722,131,735,384,553,410,286,176,441,138,708,921,593,464,305,
730,922,705,938,095,403,216,949,403,146,869,333,804,425,237,935,127,443,409,
109,647,127,588,931,461,634,359,575,044,833,006,352,301,313,382,544,897,489,
053,098,976,885,625,630,726,393,007,169,412,322,630,951,364,488,585,723,614,
279,603,673,991,933,701,818,182,930,648,906,897,478,727,851,234,620,749,474,
456,329,034,433,839,552,400,813,771,500,354,074,328,030,495,536,649,803,310,
418,263,538,909,943,985,997,125,251,843,441,149,644,789,484,065,267,150,134,
609,418,855,136,074,664,417,060,710,890,481,196,686,525,615,881,691,879,588,
173,249,325,111,346,487,082,082,500,978,189,174,176,399,703,325,998,083,108,
214,550,051,985,595,407,055,393,868,511,069,265,418,603,710,910,420,705,378,
747,953,299,847,271,164,571,540,909,465,640,218,234,834,750,928,080,271,166,
438,612,780,004,399,734,187,248,537,291,500,404,273,314,053,885,919,663,968,
334,254,725,546,555,968,975,837,196,974,170,470,882,584,609,600,176,260,671,
674,181,027,465,961,305,025,326,767,461,917,150,230,961,461,418,544,416,558,
229,183,640,356,568,728,645,199,843,362,303,315,385,950,959,313,704,354,411,
684,461,329,727,882,619,028,592,362,781,658,910,882,293,976,817,641,161,758,
300,395,547,639,166,865,368,532,333,718,737,090,671,134,075,035,687,332,523,
938,416,351,729,754,711,049,687,887,216,043,170,419,391,554,404,994,016,173,
436,457,957,242,563,892,465,479,832,762,134,587,942,039,191,201,624,086,004,
021,439,748,919,191,585,955,091,798,791,083,738,064,102,038,769,513,373,514,
433,730,283,551,841,138,981,952,177,696,634,939,619,769,076,835,933,433,657,
022,986,444,125,158,258,599,944,322,144,542,276,364,061,245,282,705,683,088,
140,085,497,547,884,537,169,076,471,106,157,607,628,031,740,500,229,147,661,
813,688,710,540,681,638,893,444,665,421,448,021,036,795,924,143,775,710,860,
353,562,132,877,482,166,874,433,276,897,846,506,083,624,132,293,514,968,697,
654,516,566,908,373,069,031,181,953,412,342,397,462,734,580,792,983,616,055,
626,365,663,776,454,255,969,735,391,931,546,491,718,797,276,952,146,680,692,
874,206,423,267,907,954,777,125,772,656,617,861,350,943,567,334,321,102,619,
319,316,991,521,496,660,132,024,301,128,739,289,346,910,746,254,469,955,046,
615,186,176,567,623,169,284,797,973,011,255,034,302,961,306,437,445,479,676,
140,334,226,928,417,296,811,880,649,086,539,956,750,249,469,152,743,008,238,
122,035,426,419,764,177,932,518,011,050,684,065,848,529,843,537,290,361,081,
384,222,335,539,266,028,837,616,791,948,298,327,558,920,294,342,511,521,809,
326,263,196,180,854,508,377,582,065,683,015,043,465,293,355,917,619,150,145,
378,525,378,712,871,156,144,640,093,417,351,507,941,640,218,106,219,508,249,
215,505,882,167,353,640,195,629,203,122,025,735,544,641,386,230,526,893,629,
093,467,658,531,303,042,348,579,096,156,089,724,068,319,597,283,512,454,516,
094,514,415,634,736,411,861,606,317,640,889,565,575,852,434,652,178,705,323,
962,657,820,364,284,022,228,687,571,356,344,053,832,271,122,837,305,462,078,
123,546,516,335,931,485,031,195,672,398,695,448,790,478,148,551,020,684,070,
793,787,448,086,359,217,871,361,052,143,060,125,013,405,289,590,555,388,472,
851,779,969,177,212,777,928,452,534,750,238,625,213,621,898,516,008,572,954,
552,937,811,341,261,770,657,041,460,456,206,826,502,766,029,153,797,267,106,
784,652,881,281,151,004,750,889,404,577,739,273,073,679,797,125,771,864,476,
489,602,948,941,239,662,631,202,335,006,971,655,625,785,684,279,201,947,740,
387,421,819,202,578,811,842,466,887,820,389,196,346,786,341,323,593,605,454,
135,041,304,324,907,373,162,500,385,225,618,592,089,081,578,937,339,688,644,
183,737,747,425,691,495,051,479,189,777,774,349,612,543,967,630,410,212,985,
544,765,456,296,725,908,260,632,644,284,568,862,429,573,276,322,338,143,532,
108,238,876,673,368,090,214,436,053,188,874,279,333,337,512,452,857,280,370,
189,806,482,526,945,181,326,790,684,257,996,643,805,537,574,554,906,243,862,
691,738,241,378,145,870,774,010,976,026,606,079,251,307,420,431,803,191,858,
809,700,699,505,146,687,707,339,496,313,448,753,911,086,129,769,198,454,059,
240,442,622,759,682,128,971,801,793,672,151,850,363,535,211,613,308,833,142,
408,252,099,001,042,941,737,801,693,216,211,152,150,040,899,592,051,547,398,
086,524,665,630,399,774,555,728,967,949,912,753,984,817,534,504,014,701,975,
172,275,054,638,264,494,818,351,627,001,810,809,827,765,480,491,236,682,904,
722,763,883,768,311,803,491,783,075,781,665,025,696,334,017,980,933,233,052,
615,284,026,223,116,163,097,502,820,463,326,432,569,803,321,681,924,631,216,
209,560,428,215,001,924,599,957,093,888,193,007,377,976,781,771,089,374,514,
570,150,983,266,565,991,498,416,181,962,117,505,432,076,741,155,836,891,787,
609,295,925,296,294,440,441,301,185,975,688,310,247,625,336,823,912,392,723,
313,761,408,374,885,944,814,449,238,258,272,878,548,646,270,012,331,658,192,
899,644,639,924,188,723,185,067,377,997,374,551,026,134,440,287,237,537,484,
141,283,309,094,977,282,631,356,584,160,762,734,135,953,870,305,046,889,660,
999,640,319,573,394,403,133,898,538,629,276,158,800,221,004,500,360,734,654,
363,145,901,922,063,977,038,981,926,167,370,441,308,596,028,043,490,573,671,
798,196,765,210,406,486,938,437,232,886,473,463,190,701,614,065,895,700,106,
572,541,578,657,081,567,162,214,573,668,515,790,792,178,865,871,497,381,609,
712,510,187,928,137,581,570,714,819,822,814,438,525,437,512,015,500,867,174,
676,717,010,227,125,930,238,987,008,835,068,026,789,354,176,480,733,400,727,
672,008,384,953,082,024,369,971,018,155,058,806,318,545,842,786,916,007,801,
439,032,778,452,865,596,843,211,606,709,432,961,664,444,879,554,632,073,427,
807,718,965,331,548,535,040,668,705,274,604,181,409,937,671,562,032,391,729,
363,822,769,914,324,766,422,700,692,706,326,167,796,392,088,937,842,639,257,
105,570,302,993,246,814,175,728,126,880,563,760,185,488,604,836,349,335,981,
782,687,024,752,270,676,210,797,564,460,844,812,695,375,428,549,272,127,607,
617,460,400,074,873,739,341,735,590,207,072,512,413,180,309,076,474,355,836,
022,879,760,543,032,929,530,069,780,076,630,634,077,868,367,074,472,549,783,
662,140,042,362,702,582,601,788,077,652,887,102,661,976,773,046,778,813,969,
470,888,965,745,516,192,416,237,441,123,143,783,099,852,897,051,916,945,704,
704,556,638,381,900,201,624,902,640,921,393,926,854,950,344,799,990,797,565,
094,800,290,764,089,653,321,201,948,863,109,226,931,023,424,789,157,383,294,
797,522,435,503,399,572,227,508,995,257,701,314,187,588,944,065,121,925,118,
670,399,657,108,376,019,258,206,704,264,006,602,870,370,861,281,443,901,875,
991,324,995,619,225,750,381,619,930,029,685,102,148,897,269,474,141,875,535,
456,696,081,106,719,762,616,569,109,831,206,418,580,625,302,003,756,916,679,
233,620,624,534,795,695,851,186,034,007,153,067,535,858,544,255,234,132,335,
331,319,036,999,361,555,287,120,031,091,084,587,992,063,426,661,202,733,269,
932,043,026,829,243,805,413,750,817,126,766,056,678,111,131,529,949,642,487,
379,074,234,227,731,869,869,833,497,179,985,099,303,391,570,433,143,044,255,
655,798,787,959,064,522,317,614,339,108,674,119,452,888,243,110,623,200,875,
302,231,147,872,665,940,006,121,985,525,819,105,524,445,260,080,451,190,985,
430,248,240,854,415,532,120,822,593,492,426,637,313,479,312,158,885,520,674,
040,420,208,223,257,247,278,411,147,434,574,111,117,140,629,042,447,586,726,
611,998,911,434,369,596,140,475,687,179,225,400,399,783,349,167,948,054,161,
909,654,151,389,581,257,085,787,391,268,798,228,956,283,064,857,437,293,937,
410,144,946,606,057,205,556,298,303,972,910,764,856,873,279,284,548,808,912,
663,342,363,372,027,637,204,876,636,047,026,734,831,812,146,013,220,983,396,
387,974,276,497,794,026,131,789,085,548,042,530,116,428,284,428,618,022,042,
060,417,155,493,875,477,588,667,549,364,282,945,542,274,825,283,877,292,324,
876,169,323,685,686,821,394,009,917,941,390,679,107,351,689,331,586,328,102,
405,802,942,517,896,058,362,045,450,887,793,015,734,653,592,299,175,466,404,
036,605,873,210,607,012,371,321,075,250,534,298,068,101,962,004,980,897,453,
774,612,317,342,503,702,390,893,345,408,823,751,809,855,586,841,182,427,247,
509,601,627,759,193,921,149,646,874,448,380,265,795,975,914,477,591,328,990,
114,564,806,984,481,778,094,741,684,524,614,291,777,024,366,917,988,199,717,
264,885,780,871,872,843,845,776,483,039,872,996,772,070,203,382,940,814,677,
081,533,640,940,730,701,274,302,370,519,807,549,468,433,791,949,145,805,508,
859,774,216,577,518,423,986,996,445,330,994,343,824,007,630,920,470,531,360,
409,963,252,526,923,959,864,307,568,004,560,400,488,745,835,126,720,959,401,
372,436,208,090,709,426,732,632,810,965,356,398,310,971,033,800,863,878,394,
328,440,479,614,189,998,109,201,832,942,857,123,722,053,691,829,113,945,625,
919,101,002,761,984,969,697,372,169,182,407,224,084,530,283,230,594,430,818,
569,520,058,676,131,248,768,020,253,727,377,899,129,166,975,717,259,294,650,
482,465,290,732,111,336,717,878,928,526,593,530,077,135,631,354,343,106,729,
453,830,971,249,028,562,453,135,427,431,612,310,163,061,869,946,201,719,877,
188,606,653,007,921,819,099,851,738,908,894,299,126,562,192,877,673,540,190,
900,805,630,965,155,287,983,136,180,960,688,074,550,815,508,366,075,216,033,
269,564,185,028,662,562,708,910,251,712,706,340,378,847,040,316,615,931,242,
467,117,432,513,692,025,986,572,719,207,302,494,060,500,502,741,736,251,827,
093,700,613,944,258,733,862,958,025,716,206,866,419,093,576,073,331,500,167,
082,963,091,701,178,101,827,003,247,527,222,686,420,730,663,401,657,854,874,
289,709,605,887,860,867,512,481,770,428,550,684,679,952,785,987,587,242,044,
263,610,254,424,645,129,642,958,802,320,166,186,537,872,064,333,629,355,803,
582,926,159,090,755,678,729,984,713,102,555,412,927,383,930,074,945,578,794,
153,138,043,125,489,987,660,733,174,255,514,389,167,380,831,530,956,367,064,
167,641,429,534,621,093,033,958,509,413,959,354,490,820,243,833,480,363,686,
527,120,099,005,463,945,194,170,111,506,417,281,701,886,420,186,698,348,989,
863,723,530,220,509,703,140,108,976,929,890,787,343,459,668,209,954,726,344,
247,777,049,028,196,889,518,736,848,175,125,354,361,681,577,482,810,010,230,
417,575,715,069,708,590,677,176,633,535,376,030,040,081,079,463,703,169,181,
399,162,378,697,499,839,324,192,113,643,657,512,064,289,813,255,577,763,844,
660,396,099,659,339,567,221,169,844,997,935,268,804,325,762,233,040,584,128,
246,168,648,379,311,207,400,135,498,432,591,839,515,382,098,858,851,968,629,
235,738,217,340,634,972,953,479,391,809,068,830,207,082,099,066,731,589,381,
157,419,919,705,904,554,662,320,188,174,318,410,044,778,787,653,479,900,369,
345,801,888,478,637,462,918,195,261,592,284,709,356,665,251,985,419,360,696,
665,867,069,270,725,440,389,169,882,794,364,113,902,937,070,839,678,993,409,
949,220,158,354,156,567,756,392,793,505,659,282,302,644,830,763,339,143,406,
023,490,060,905,254,694,117,517,822,727,712,855,047,268,610,721,585,235,324,
346,645,950,870,909,603,418,756,654,998,079,421,717,433,968,165,174,373,331,
315,127,520,241,015,426,226,607,592,927,639,255,672,240,117,932,551,454,674,
470,367,261,985,338,878,239,312,289,447,105,447,245,867,329,540,426,172,835,
752,742,041,930,128,468,034,524,008,950,030,322,050,895,821,801,101,705,005,
800,515,476,903,568,255,829,044,622,430,742,615,152,923,270,553,133,108,853,
971,929,883,539,872,937,270,939,025,701,976,713,170,251,814,509,868,995,997,
444,374,522,698,442,839,377,922,084,184,794,770,064,056,928,975,272,429,423,
122,232,152,675,127,779,454,064,624,107,168,368,848,676,415,166,556,081,254,
925,528,640,268,765,289,064,631,465,314,299,890,512,037,011,399,348,059,799,
551,029,107,375,068,637,089,523,342,442,961,091,869,518,331,550,009,671,436,
368,938,722,352,015,019,172,301,907,133,228,297,637,151,475,393,064,190,679,
177,557,974,633,912,000,853,557,830,581,404,466,919,954,504,441,778,902,644,
359,491,837,840,665,538,795,242,159,734,508,456,715,734,049,060,315,331,928,
519,912,422,361,666,783,212,737,069,841,153,917,158,408,199,926,303,098,440,
783,112,188,785,295,825,212,285,289,426,975,689,043,659,877,077,172,090,138,
998,948,183,141,118,189,084,857,189,804,384,461,989,669,879,021,913,021,898,
203,028,518,984,596,155,765,541,819,647,685,169,861,540,508,850,539,894,943,
688,686,433,023,316,778,015,938,340,450,061,832,397,838,602,787,922,085,214,
373,715,254,552,506,635,977,150,797,935,072,263,999,766,087,915,762,433,679,
666,281,312,662,937,051,956,754,423,449,247,895,926,124,616,946,163,011,295,
861,148,250,267,191,799,339,596,367,506,333,249,535,960,441,845,918,924,927,
619,286,000,333,625,495,167,978,875,267,325,442,895,476,201,389,456,488,069,
883,893,699,433,375,470,414,289,768,340,850,172,355,194,008,443,381,455,124,
078,577,868,596,939,424,570,760,647,518,107,184,984,625,953,521,031,951,362,
055,974,915,687,439,250,989,883,276,338,003,990,354,690,564,581,797,806,953,
595,277,679,319,813,825,939,509,511,592,325,386,293,161,996,589,383,510,046,
280,864,908,884,970,321,965,064,969,651,871,081,078,385,689,021,484,698,837,
162,979,997,935,682,884,629,867,339,034,937,274,024,280,155,208,987,344,087,
004,559,829,340,604,629,821,753,229,746,024,117,524,243,732,248,831,535,634,
327,357,056,278,808,910,917,285,513,258,018,485,951,953,650,762,224,258,649,
543,129,244,571,656,273,762,563,372,635,457,894,519,363,945,845,786,427,625,
179,440,398,372,527,822,959,027,290,454,624,710,961,559,822,792,805,013,886,
042,389,552,258,902,466,921,184,450,599,977,104,295,064,935,379,356,756,077,
807,681,484,369,602,337,489,953,547,237,432,950,630,580,461,234,515,687,587,
457,760,882,807,059,521,680,927,301,078,151,337,430,597,672,055,514,517,353,
451,404,953,950,933,451,097,591,237,599,058,850,105,239,660,738,521,267,736,
296,805,764,314,087,432,550,168,735,539,893,028,544,091,938,689,947,599,809,
090,221,582,912,223,803,110,007,638,879,865,314,297,641,106,928,252,953,044,
102,150,546,580,503,660,442,783,884,783,608,000,400,434,182,083,921,998,453,
039,491,724,356,971,062,560,266,953,088,036,087,213,381,940,523,660,298,557,
914,284,175,548,577,221,345,327,123,483,988,651,226,427,816,656,607,060,412,
896,476,745,341,828,700,498,966,500,540,187,574,713,361,716,668,616,628,789,
736,335,721,317,688,679,642,804,931,236,423,608,684,969,584,073,105,041,531,
782,197,197,072,375,077,555,494,724,243,487,960,878,757,266,664,840,597,003,
654,036,419,152,428,379,296,213,165,523,532,677,044,015,403,935,030,906,601,
807,326,758,266,961,695,389,454,379,912,200,077,866,940,261,443,311,306,554,
930,719,334,235,448,294,484,065,782,231,157,416,701,701,251,691,479,005,662,
812,158,015,019,562,334,669,185,601,330,831,617,001,673,654,607,379,924,594,
110,496,391,979,571,881,413,040,868,251,561,101,185,292,680,023,498,111,469,
707,387,357,567,230,686,821,769,421,910,673,570,145,942,054,266,458,744,434,
642,703,254,125,167,766,398,057,970,525,442,933,586,917,953,510,109,095,304,
312,847,134,366,365,645,293,164,602,382,150,581,463,747,241,034,932,362,646,
103,091,183,597,872,723,501,709,621,421,117,313,326,033,158,354,954,977,718,
685,600,935,421,405,693,131,459,131,410,017,595,238,087,500,155,367,764,340,
270,543,756,612,634,087,356,537,420,273,921,446,730,599,614,528,470,390,777,
095,621,015,958,359,826,153,214,554,730,296,458,483,277,041,344,463,913,368,
380,290,441,884,497,421,888,580,445,267,493,610,422,650,140,160,815,205,850,
187,274,650,146,414,663,455,448,266,865,902,769,557,367,113,260,758,872,440,
049,813,357,721,169,670,092,314,378,937,105,777,076,796,108,237,468,477,748,
327,833,366,979,833,063,329,686,154,197,676,761,909,301,496,785,459,365,900,
185,642,549,771,944,868,683,555,438,999,464,204,539,131,487,000,554,522,388,
177,341,678,982,206,145,798,059,115,984,927,467,721,087,256,278,963,608,616,
927,959,554,799,389,317,153,053,790,575,310,817,745,297,658,766,529,133,307,
946,419,850,692,448,914,902,091,639,098,704,261,198,289,033,487,038,294,874,
887,008,665,943,315,117,223,703,661,952,203,551,156,754,061,406,668,909,805,
721,011,841,555,902,552,162,463,963,437,324,348,678,047,678,196,937,914,064,
209,053,135,349,387,524,443,980,967,631,887,210,461,361,113,902,842,244,018,
699,515,502,712,548,097,981,262,977,144,383,992,493,025,543,634,762,584,250,
846,609,135,449,155,666,533,528,306,026,884,495,443,335,638,418,283,231,815,
359,669,341,198,454,174,886,387,470,687,991,864,653,207,912,531,036,689,386,
168,254,646,650,098,113,390,231,243,233,219,425,858,162,798,365,208,174,875,
668,593,632,164,913,867,892,954,477,652,302,167,440,236,238,595,717,965,927,
734,904,052,647,823,537,075,914,987,531,898,457,061,773,612,644,917,868,367,
156,793,695,566,218,133,691,557,103,952,852,289,639,105,131,120,098,003,611,
755,647,783,385,041,882,432,251,222,808,307,191,606,315,727,006,714,694,442,
979,185,349,844,360,780,163,515,904,680,626,598,268,151,669,367,935,960,128,
890,993,952,958,295,578,180,490,445,793,754,448,213,378,998,589,137,382,477,
883,070,424,565,435,901,496,740,439,170,190,039,796,227,159,019,515,001,448,
852,174,596,222,728,322,386,811,563,922,186,388,107,355,187,255,774,614,156,
229,819,843,934,959,848,488,311,732,456,410,519,363,796,451,591,680,985,166,
801,636,235,720,851,230,050,477,428,543,117,766,097,032,489,031,258,751,915,
476,768,714,980,165,080,816,484,918,158,708,706,566,729,307,074,284,891,988,
561,768,187,166,991,472,696,277,975,132,047,864,067,710,969,126,736,804,713,
949,510,678,056,472,849,593,963,110,158,196,017,361,725,290,438,211,827,999,
325,090,929,816,140,722,322,240,441,774,428,666,730,727,355,987,652,702,967,
069,153,213,545,028,283,572,112,527,698,555,390,264,352,221,590,469,487,660,
774,965,909,557,250,689,951,477,358,918,088,507,343,843,130,730,361,645,841,
893,815,010,529,018,505,157,390,689,600,432,104,783,391,952,910,095,512,459,
881,096,371,319,254,701,171,728,464,992,719,688,993,045,963,165,518,892,131,
062,380,126,721,261,302,525,775,584,781,743,050,637,432,259,585,112,620,687,
987,899,708,847,807,594,962,846,255,093,950,111,084,159,576,175,605,858,211,
279,294,824,643,938,436,523,234,828,217,957,947,316,121,884,136,341,802,847,
551,773,707,721,015,475,974,998,051,692,586,624,851,400,136,910,639,955,349,
190,199,564,473,049,954,171,326,457,165,051,147,202,471,976,471,965,592,585,
389,871,645,879,919,850,779,479,338,552,286,282,598,046,451,168,719,981,054,
750,168,968,161,043,774,705,125,222,858,449,417,813,908,118,044,799,363,413,
050,442,924,612,259,722,169,276,930,511,864,576,910,901,930,481,382,156,075,
805,515,013,864,531,122,715,005,182,203,557,303,273,148,874,196,467,583,551,
588,056,469,038,017,194,025,219,523,131,458,929,401,672,048,530,221,854,360,
407,275,915,011,978,594,614,344,894,004,418,808,170,879,193,431,933,577,168,
054,101,755,380,858,157,571,897,823,375,776,729,958,995,527,449,915,200,438,
921,222,854,766,969,347,243,186,363,008,782,505,760,764,984,315,572,395,450,
090,376,821,119,634,047,215,877,542,226,867,456,197,901,843,457,192,842,207,
267,918,098,942,622,525,455,569,774,155,026,739,047,087,719,656,709,130,773,
425,162,161,250,671,922,063,387,573,945,257,793,265,079,055,521,148,575,661,
687,495,766,676,350,643,430,523,659,719,638,517,502,684,729,019,752,903,742,
839,729,726,971,069,085,685,706,336,303,614,919,917,737,895,345,470,746,273,
777,459,749,913,471,678,362,280,239,145,866,337,040,693,500,423,223,127,231,
458,521,002,773,471,049,947,381,160,269,173,861,343,720,178,701,736,393,703,
986,534,547,478,518,010,889,345,721,877,235,485,940,474,822,386,769,507,527,
831,923,624,706,965,729,226,398,624,899,533,549,381,604,655,685,412,155,020,
111,980,224,104,848,234,602,642,006,686,590,172,653,706,197,821,878,468,129,
796,761,790,418,567,706,410,602,423,827,524,671,612,843,491,416,620,254,068,
030,034,153,209,213,075,172,429,538,183,533,785,802,529,595,244,176,189,464,
641,221,288,508,973,131,419,939,759,072,281,218,037,984,502,841,401,785,638,
386,151,388,360,711,689,865,806,132,764,876,137,833,830,245,663,931,864,308,
344,927,719,193,826,794,253,078,907,487,809,323,059,649,042,719,732,827,278,
741,503,023,444,830,207,067,197,194,805,905,710,322,902,164,802,367,991,441,
177,801,966,401,851,825,796,236,832,341,194,633,420,600,634,957,402,690,086,
884,525,625,286,954,739,246,650,895,694,225,400,054,995,816,962,052,016,372,
404,683,557,735,443,559,338,382,084,134,121,710,029,847,014,843,976,458,287,
657,678,486,525,267,952,260,945,913,959,985,752,806,575,632,475,136,496,771,
001,425,446,182,179,853,490,646,092,123,538,013,756,912,632,600,313,733,973,
627,579,141,022,943,112,387,048,955,345,918,084,068,361,599,468,868,149,447,
906,703,315,145,400,682,581,893,291,916,093,863,038,686,136,908,422,341,177,
538,779,025,726,141,770,777,306,910,348,487,655,624,569,409,732,569,882,904,
001,319,373,021,380,758,910,195,112,888,078,092,567,696,923,915,338,879,795,
002,259,780,138,362,816,837,099,775,678,085,899,604,596,531,594,698,753,877,
146,198,923,783,633,453,313,005,565,659,582,334,754,156,989,851,242,570,336,
836,697,302,260,280,434,468,163,247,597,812,957,417,551,979,121,789,315,873,
290,453,091,959,625,294,854,782,239,608,050,132,929,588,186,948,790,850,449,
308,778,516,301,420,170,340,359,771,972,852,221,890,579,856,470,644,492,124,
624,813,854,868,116,265,968,314,567,995,948,094,105,842,560,338,523,905,020,
011,235,227,040,201,263,906,872,143,807,966,831,915,482,639,902,617,941,276,
330,198,408,921,341,519,531,495,624,529,641,725,380,301,251,838,613,729,474,
327,107,205,754,011,130,946,156,903,001,411,334,133,102,084,137,019,303,840,
943,915,149,779,163,318,083,300,169,683,270,529,059,636,688,861,730,009,498,
339,853,872,699,841,703,109,179,757,671,709,291,579,873,785,257,264,678,585,
592,239,583,737,970,623,762,414,071,711,110,550,860,854,748,734,252,232,252,
596,766,845,289,216,972,231,813,272,901,919,980,150,179,589,086,441,125,366,
126,311,206,235,509,943,792,615,084,807,113,633,333,969,406,670,487,488,838,
980,905,620,222,285,594,266,207,056,372,249,393,077,568,047,141,397,133,945,
703,779,281,336,422,867,733,260,890,004,587,672,428,380,019,733,640,047,700,
375,269,997,394,119,440,591,685,460,468,758,382,742,883,090,668,777,988,746,
102,151,444,845,302,573,751,257,657,357,838,284,309,629,982,678,029,587,104,
058,372,223,658,184,877,586,447,994,859,297,043,257,957,096,193,991,531,920,
099,240,030,810,081,687,915,308,630,180,741,815,979,599,020,226,094,004,588,
270,689,964,702,124,026,913,122,081,742,645,947,428,274,683,481,573,075,814,
068,405,219,577,088,130,892,955,052,819,326,654,548,553,296,850,463,061,938,
946,805,471,980,796,698,395,920,903,332,625,459,021,862,841,165,040,894,712,
930,600,151,164,778,756,100,331,491,428,106,674,718,277,290,241,258,188,784,
379,016,143,096,740,310,172,383,282,092,535,342,851,200,746,079,559,784,114,
884,568,370,314,481,106,724,356,907,978,371,533,179,548,159,664,266,032,628,
683,355,871,883,549,168,771,241,972,396,850,518,508,405,888,042,734,351,557,
677,185,988,342,517,125,286,621,395,996,909,879,032,083,949,570,330,571,267,
625,857,264,318,948,596,735,705,988,623,695,556,812,958,251,929,298,790,295,
450,712,677,773,555,617,750,645,663,769,903,408,466,565,018,865,274,795,188,
188,257,926,653,092,351,040,116,431,870,716,656,856,212,244,226,742,050,908,
230,773,270,809,228,529,849,240,165,645,015,462,713,413,774,608,769,634,172,
967,416,099,803,999,578,012,473,400,513,935,480,226,620,073,157,770,121,534,
193,140,093,520,144,930,220,014,493,124,806,165,645,591,064,012,624,846,645,
719,823,901,739,109,789,401,460,155,464,832,044,449,935,731,319,107,131,871,
615,113,452,015,807,878,367,229,066,556,735,421,622,243,317,344,561,848,088,
852,050,163,006,405,594,509,292,182,837,961,163,773,192,297,436,826,429,680,
492,067,126,820,593,508,040,794,851,122,893,995,864,054,510,828,426,761,135,
848,814,316,466,078,193,452,347,790,984,483,282,256,995,686,455,333,141,127,
991,364,492,354,072,586,070,188,320,015,201,387,431,102,003,588,757,183,482,
644,585,706,377,183,104,816,032,599,885,794,828,550,222,495,004,755,912,032,
635,358,026,978,130,694,582,115,322,550,133,997,871,801,141,770,092,260,133,
060,608,104,898,775,626,184,423,645,386,506,203,377,062,514,294,717,581,570,
962,263,233,492,770,373,236,363,583,573,285,638,934,700,002,960,902,252,138,
366,703,620,561,369,330,948,801,742,605,879,731,968,822,313,305,713,563,082,
667,983,607,337,254,174,098,759,570,053,772,479,513,691,704,666,913,891,732,
713,910,293,629,486,732,516,741,038,746,355,290,359,447,586,730,401,011,916,
396,049,369,920,979,511,392,853,640,195,703,834,791,148,489,749,317,650,332,
054,392,622,610,208,963,925,676,903,500,120,359,293,324,819,819,872,550,695,
162,470,109,570,109,541,551,992,456,493,713,849,068,914,562,689,969,249,976,
358,245,879,527,803,789,804,794,033,647,402,536,682,280,719,901,711,958,206,
301,336,032,981,746,479,781,203,753,355,373,437,534,187,465,037,009,143,432,
784,141,861,363,331,221,753,638,010,228,789,904,058,256,168,563,133,819,154,
290,653,323,812,558,168,510,634,667,158,961,821,724,230,587,451,021,048,841,
695,096,082,397,434,925,610,968,331,453,712,209,762,285,287,454,493,856,963,
583,950,665,619,380,313,411,507,530,407,444,110,304,444,608,096,666,722,936,
344,032,845,660,337,740,946,765,514,201,799,015,094,260,276,178,695,427,458,
395,157,294,035,826,656,355,852,058,108,754,214,421,550,352,983,236,890,306,
345,899,158,395,520,220,591,276,042,803,231,440,486,174,662,052,275,907,650,
726,128,164,145,893,743,429,487,706,932,699,002,488,041,013,369,701,550,793,
682,922,658,370,303,453,656,281,930,872,709,635,511,030,530,047,196,273,040,
177,910,952,956,366,732,098,796,534,261,902,011,818,116,962,732,703,023,851,
705,936,578,642,992,499,449,814,568,052,612,603,209,651,861,644,827,010,466,
000,888,953,102,638,383,604,540,715,723,348,837,315,705,816,978,191,142,532,
335,310,525,376,627,275,227,755,667,368,025,589,284,496,683,707,397,019,973,
369,925,883,532,745,521,660,651,195,467,678,044,475,360,278,399,000,183,495,
122,770,746,447,062,914,161,798,876,964,526,527,553,950,398,184,332,089,356,
665,254,690,641,251,895,035,119,616,427,977,361,341,412,282,233,443,850,991,
131,314,085,989,002,936,099,185,173,888,407,118,217,998,738,142,869,479,369,
154,679,270,454,719,703,756,572,197,927,335,417,734,789,850,464,787,655,642,
073,671,556,165,823,577,187,945,675,236,463,757,219,934,283,207,462,475,020,
826,312,690,437,934,835,469,422,049,917,519,050,746,235,847,288,876,898,372,
599,096,101,596,323,502,019,067,861,636,753,659,858,879,753,131,657,853,003,
314,245,122,915,187,110,656,726,499,140,273,288,457,946,008,633,233,944,457,
385,007,404,175,615,993,971,651,534,244,177,406,677,424,752,646,314,678,069,
559,886,639,523,473,925,323,991,260,280,176,105,121,145,071,038,441,968,103,
005,289,605,866,177,055,698,365,131,578,951,053,189,115,274,473,032,606,815,
050,070,747,907,340,154,977,901,036,315,096,557,679,424,568,966,947,301,397,
763,692,966,796,745,642,784,853,703,594,458,606,040,334,569,825,291,614,896,
699,381,204,452,145,545,540,201,800,775,272,500,385,116,883,659,533,431,997,
555,718,193,632,511,580,235,315,070,359,834,725,537,502,634,624,037,647,291,
297,564,429,705,825,007,765,423,902,789,158,549,810,568,597,539,714,852,676,
682,557,994,221,072,777,659,648,087,388,839,926,178,729,564,670,367,804,019,
684,348,317,402,448,779,185,505,166,720,176,450,200,647,434,695,880,611,396,
078,442,326,784,384,221,977,897,174,815,689,920,754,599,564,524,455,698,814,
109,572,906,150,837,783,486,628,354,713,216,939,605,723,903,962,419,343,700,
147,951,909,672,193,500,985,262,555,505,450,977,722,659,469,916,452,523,901,
233,939,295,248,982,000,508,230,797,067,602,079,078,379,568,059,588,146,038,
955,872,819,156,336,522,773,913,619,007,504,466,051,783,015,398,009,676,067,
638,470,722,459,271,766,272,992,832,099,700,317,082,366,504,845,763,811,684,
468,169,874,783,193,002,011,518,239,275,671,553,678,124,106,238,088,758,847,
127,873,385,388,031,333,032,128,303,687,296,636,582,816,306,371,887,444,349,
072,749,861,046,104,600,772,510,822,795,704,943,263,376,279,841,129,281,205,
488,329,493,700,245,355,052,420,904,796,576,321,581,270,880,390,580,186,396,
845,059,330,280,263,474,895,712,605,237,108,754,605,532,005,713,461,467,588,
255,922,182,483,627,491,395,142,589,233,470,810,624,698,215,921,631,908,827,
093,399,529,787,157,547,836,387,231,745,148,175,288,521,759,950,334,720,151,
165,984,560,705,937,287,554,388,619,713,267,595,944,001,014,112,945,753,420,
166,222,413,310,436,917,013,877,642,172,410,096,938,533,205,440,029,671,507,
883,692,418,807,897,144,581,292,438,844,132,324,086,681,522,910,551,071,878,
948,947,361,924,486,627,411,453,929,063,358,804,617,567,210,739,634,647,099,
453,217,662,559,599,166,116,679,081,470,672,906,731,319,271,698,180,194,853,
112,448,657,856,755,881,096,112,743,243,140,229,198,632,598,651,689,681,183,
745,611,468,688,807,149,640,125,334,497,825,279,989,653,167,718,572,343,316,
163,440,518,870,177,576,284,555,149,858,689,185,761,752,635,193,783,086,035,
557,228,198,170,775,489,228,979,080,968,762,658,185,403,715,705,624,183,351,
639,999,894,757,349,552,359,013,191,915,410,814,195,758,886,778,961,932,229,
038,042,948,163,795,009,250,251,739,507,970,684,570,587,017,638,028,667,998,
826,323,715,408,653,423,916,909,092,053,484,940,017,099,473,616,993,599,987,
357,389,302,080,808,139,298,883,061,542,838,396,080,607,649,468,035,055,948,
347,735,306,051,436,860,847,833,106,518,211,588,356,732,998,918,217,364,439,
518,837,488,976,087,615,346,367,827,048,681,025,624,563,182,898,340,868,944,
252,148,289,249,117,862,207,939,609,970,038,053,117,385,454,749,678,068,569,
056,599,893,666,763,085,052,606,116,769,180,497,406,780,787,124,035,611,611,
605,267,692,225,817,973,392,934,292,677,901,954,195,036,366,806,439,182,235,
275,965,711,482,820,057,204,565,593,612,729,747,297,311,778,384,936,351,991,
062,327,394,649,482,782,675,714,984,507,465,750,336,081,066,570,722,533,048,
109,179,002,899,434,962,169,201,145,030,751,401,229,832,381,399,411,616,854,
049,667,471,940,865,357,911,087,510,919,469,400,233,438,777,291,393,549,801,
820,317,241,136,125,182,951,430,208,201,853,515,015,674,360,621,507,192,058,
564,969,160,816,872,483,406,162,545,333,083,875,174,745,891,335,019,011,617,
188,527,671,200,979,863,028,536,205,684,699,330,092,823,087,218,176,734,438,
772,605,012,194,096,502,518,020,725,872,575,749,763,777,518,140,912,359,816,
735,904,871,469,338,427,251,678,666,365,085,432,480,708,750,426,759,809,731,
527,762,601,663,829,972,532,045,411,130,820,472,322,838,449,849,623,403,665,
781,009,860,659,270,060,528,837,666,876,729,687,335,933,862,035,322,167,943,
883,192,429,388,513,601,569,672,110,681,427,100,129,136,511,970,369,426,748,
928,476,556,105,288,752,616,080,213,753,599,484,979,671,189,373,215,156,029,
348,417,547,039,200,311,627,407,918,792,472,000,082,647,049,462,513,619,418,
415,034,609,152,040,203,420,283,763,015,566,970,330,381,457,215,881,964,904,
701,064,370,731,388,788,851,439,430,473,780,773,695,848,646,817,551,719,925,
945,548,563,227,721,682,493,030,562,189,630,888,361,647,587,281,634,424,580,
429,929,553,899,088,565,036,832,836,993,506,505,414,503,287,226,757,712,094,
112,757,743,296,283,648,100,321,474,292,858,913,922,913,235,185,746,431,272,
428,530,167,273,875,076,544,934,873,703,621,060,620,145,611,395,790,865,421,
722,855,353,463,581,404,123,100,537,647,341,013,933,428,464,948,984,457,281,
090,790,517,659,750,302,046,820,757,950,339,464,723,991,608,561,193,619,587,
477,349,679,606,925,392,819,132,011,600,371,021,287,063,589,402,239,346,796,
962,191,876,386,152,516,485,718,793,262,107,157,713,190,946,574,714,469,655,
673,351,295,702,523,757,777,586,850,566,479,402,809,312,216,710,956,261,376,
713,272,848,655,263,874,929,107,551,548,420,010,172,471,776,508,651,331,891,
264,725,778,850,668,756,476,491,388,107,263,458,539,426,523,518,147,460,306,
858,007,135,289,300,184,837,125,285,749,469,431,470,304,479,643,321,466,394,
268,047,726,293,752,150,437,892,290,568,989,618,828,288,311,284,498,007,566,
715,746,847,634,695,669,390,334,212,030,736,731,705,072,039,023,581,447,302,
649,830,023,497,600,009,354,279,047,499,646,718,431,809,333,597,458,112,110,
061,348,863,627,022,600,537,903,653,410,538,771,361,716,461,411,587,428,057,
500,738,961,432,887,486,887,633,546,443,376,128,304,029,693,626,489,512,898,
060,407,268,432,061,963,998,340,342,044,410,400,852,521,109,877,768,837,820,
176,594,068,060,197,880,801,440,803,023,408,795,913,898,931,816,377,344,283,
617,902,217,277,807,548,527,207,514,141,301,826,028,062,069,679,687,679,110,
054,430,816,282,875,801,200,568,027,050,233,965,831,912,349,148,811,901,987,
807,506,566,556,754,365,639,887,727,667,263,041,807,451,082,634,323,662,585,
795,032,192,850,890,641,808,984,408,841,945,364,261,103,742,626,716,757,683,
378,269,380,263,279,128,129,900,302,660,063,171,918,743,274,994,887,249,356,
197,024,412,387,480,020,659,379,944,489,546,520,164,006,617,252,430,477,628,
602,312,593,265,272,477,404,904,763,976,965,433,646,252,331,840,731,974,591,
530,231,059,649,620,145,744,648,036,560,114,313,174,993,244,233,757,882,293,
570,346,382,127,675,330,191,837,407,908,699,584,452,428,373,446,302,614,790,
339,525,285,843,294,999,080,250,555,303,932,645,520,639,783,894,382,609,908,
548,455,084,143,201,676,307,641,889,560,030,274,212,968,779,510,298,417,717,
603,375,315,100,705,250,773,887,982,725,089,269,377,017,032,422,097,653,652,
251,185,912,182,535,229,971,665,103,839,219,191,223,127,812,804,156,002,276,
327,953,147,405,363,211,731,727,854,017,074,817,562,022,837,607,386,721,268,
928,906,438,755,466,772,343,765,364,792,674,414,283,977,444,786,689,780,631,
576,607,577,572,007,125,151,545,380,239,957,123,878,461,843,247,499,317,319,
783,156,538,000,083,745,471,853,095,222,736,030,173,958,586,996,530,080,155,
128,995,949,558,079,229,846,991,269,414,122,411,054,322,249,450,478,647,788,
602,215,121,809,798,351,193,574,510,677,202,392,675,472,915,116,722,728,763,
896,395,642,428,110,390,480,535,053,849,609,321,427,348,247,057,321,725,418,
520,216,752,228,160,497,852,115,274,739,168,479,550,330,173,998,855,223,557,
778,147,395,616,951,891,433,157,953,743,818,887,039,441,929,821,313,307,439,
568,038,518,681,403,898,531,321,673,545,224,529,839,119,221,356,053,642,007,
630,187,905,236,435,675,502,780,256,362,626,984,632,436,687,404,372,892,234,
833,538,198,035,255,465,001,799,894,209,743,575,333,524,877,190,562,156,038,
293,355,581,741,416,164,027,963,586,582,906,320,749,628,355,192,294,038,814,
030,940,637,925,750,783,382,132,098,100,949,609,830,340,696,399,184,517,759,
905,637,358,715,047,441,692,980,323,701,532,803,307,737,637,227,935,905,789,
833,787,380,004,107,032,840,590,786,271,803,371,542,910,650,077,561,441,354,
593,287,009,435,058,836,284,843,332,926,399,997,017,510,605,474,503,789,559,
286,592,045,728,643,033,237,468,575,990,776,364,132,971,269,795,119,637,381,
114,701,738,960,572,897,502,916,667,591,301,660,861,163,652,432,145,283,930,
567,886,346,144,970,441,254,666,945,384,278,628,854,941,914,621,049,999,995,
805,188,401,474,992,738,425,787,252,801,815,767,740,949,322,266,383,599,803,
432,247,417,244,761,051,729,682,864,565,444,867,512,594,553,216,762,909,904,
191,030,371,496,043,874,667,176,623,388,744,149,333,270,921,294,978,290,253,
496,201,627,454,182,111,567,823,612,000,730,388,355,566,221,186,740,001,768,
300,963,347,307,634,729,188,718,579,320,702,686,845,780,363,193,715,065,842,
866,405,170,682,576,047,813,148,642,203,374,688,487,291,589,191,032,819,082,
221,738,081,182,905,658,450,082,046,724,941,865,471,817,378,952,760,596,546,
211,172,204,851,327,111,712,989,892,815,299,920,989,504,190,060,697,600,648,
441,771,058,647,655,359,142,975,685,021,114,053,390,398,069,922,002,180,053,
912,769,458,268,070,319,127,218,914,501,164,430,521,000,383,140,318,624,297,
026,399,196,671,519,731,743,123,758,624,763,993,585,660,418,462,549,237,871,
654,462,968,152,901,523,921,647,567,093,076,811,616,383,186,535,604,411,118,
242,041,198,306,472,370,157,701,683,871,648,383,773,196,474,857,215,894,522,
207,553,474,103,050,012,125,721,041,316,895,631,234,356,477,001,663,561,489,
507,738,079,450,503,195,848,587,219,453,636,663,284,034,520,119,512,715,918,
802,940,164,321,519,948,717,000,732,014,427,999,192,953,759,822,873,137,256,
331,045,555,741,880,030,934,258,118,681,653,092,742,200,557,805,331,203,002,
613,739,781,180,398,396,477,419,909,004,807,654,831,199,631,654,021,185,512,
089,624,658,773,632,049,823,733,628,804,678,307,498,106,204,751,592,911,707,
117,953,821,933,089,479,319,136,693,549,311,177,235,571,919,300,014,568,966,
840,255,334,132,347,169,549,491,000,479,429,972,056,903,368,014,757,077,251,
810,791,057,910,315,453,879,696,826,783,415,545,009,847,895,094,607,248,914,
604,351,781,849,522,991,360,376,921,744,291,831,960,150,529,301,908,776,640,
269,108,751,325,474,398,310,934,944,186,355,211,624,726,162,778,292,133,420,
748,111,020,137,220,410,934,514,559,536,920,891,161,543,608,507,667,582,372,
093,305,358,952,967,657,441,738,883,660,422,839,693,673,148,433,918,301,959,
387,893,295,360,632,992,302,435,450,316,503,655,958,817,625,220,747,800,946,
567,404,093,696,673,075,234,770,345,420,090,121,010,357,614,012,353,104,125,
529,122,589,379,637,804,915,648,660,449,218,005,669,862,378,864,764,649,871,
330,743,394,839,560,000,767,000,027,118,759,969,941,752,857,842,049,633,572,
564,155,936,740,377,234,074,949,749,825,380,485,252,381,088,876,024,365,471,
360,220,440,961,870,720,518,643,680,805,472,034,569,947,217,402,652,577,694,
963,275,423,761,842,271,234,650,558,981,078,090,104,438,620,738,485,345,433,
362,355,112,311,301,599,548,145,455,303,357,618,842,668,221,050,782,903,530,
267,484,670,339,869,277,305,448,908,457,121,286,550,400,284,391,995,433,629,
125,019,883,921,734,376,082,337,565,143,717,967,178,444,249,597,302,139,224,
094,394,411,290,565,063,006,114,088,925,603,753,105,313,871,251,717,361,517,
636,876,393,338,366,263,343,810,642,355,945,960,510,413,376,089,254,702,380,
214,868,165,764,171,985,327,612,773,460,141,638,100,080,431,420,491,694,645,
820,640,306,018,877,375,226,623,815,504,165,554,295,461,904,299,178,408,582,
214,046,878,962,729,724,998,277,054,440,348,020,143,146,761,343,098,688,807,
306,509,538,286,886,028,521,215,443,327,044,478,867,286,530,715,731,165,186,
265,026,659,024,527,129,939,037,774,009,011,217,896,202,318,038,286,015,578,
207,713,607,356,908,909,780,106,436,767,758,780,406,420,480,578,601,471,286,
111,164,098,302,784,555,617,197,782,080,119,448,864,721,528,925,951,116,835,
303,950,996,528,042,612,554,045,701,109,846,994,936,169,161,852,217,715,840,
528,722,964,725,114,704,080,054,853,426,919,148,630,107,549,627,524,971,345,
754,303,105,321,682,102,966,737,015,218,637,430,241,114,852,062,737,327,268,
612,050,804,998,221,749,981,402,315,689,248,678,056,051,980,249,710,316,087,
923,953,291,308,730,243,138,791,889,255,376,683,360,597,709,534,016,091,505,
373,169,796,773,914,962,026,711,875,582,017,162,831,887,104,503,452,650,132,
680,592,223,624,281,118,888,328,985,526,048,503,624,294,876,512,082,477,367,
985,655,614,977,061,462,616,585,300,500,913,971,064,704,896,434,110,022,012,
817,889,257,669,832,881,325,874,309,834,148,986,578,615,918,171,247,878,233,
389,991,642,935,237,050,994,963,944,873,124,757,924,741,891,856,179,209,569,
193,546,833,787,066,783,228,119,841,486,409,476,892,408,137,192,024,483,727,
847,603,585,269,749,734,827,857,848,709,100,958,577,756,154,865,591,999,527,
023,047,499,623,016,524,145,207,917,930,064,754,034,282,609,637,763,017,775,
363,998,588,851,932,829,572,817,101,452,927,708,976,399,906,089,813,577,413,
327,963,258,076,926,531,411,264,180,790,116,491,816,466,053,239,068,449,900,
877,706,215,308,315,488,999,020,671,541,218,516,495,805,766,539,100,886,672,
786,336,521,469,215,408,253,835,510,957,178,694,431,964,040,028,624,944,814,
187,256,570,529,633,174,447,012,046,707,436,388,050,631,385,493,356,656,622,
726,879,000,253,603,832,340,784,263,302,503,826,079,936,160,401,754,329,585,
246,511,355,993,918,230,223,459,265,502,604,736,184,195,227,772,066,842,304,
715,418,957,654,398,888,132,432,766,704,432,744,874,192,736,216,443,714,475,
694,755,677,443,199,964,630,129,242,363,534,534,503,309,850,269,639,054,970,
527,094,293,063,937,428,833,530,790,019,467,793,645,821,142,369,159,530,904,
137,861,489,914,814,644,213,092,640,865,942,926,633,123,931,918,212,741,181,
497,209,491,153,730,052,333,105,193,633,699,495,187,700,388,450,024,482,551,
570,176,442,513,974,708,910,607,229,176,090,078,702,330,854,672,547,971,113,
113,297,393,199,827,269,096,781,792,820,614,331,597,254,000,240,803,265,213,
958,550,304,802,203,568,557,382,776,712,360,723,923,866,484,262,669,047,711,
421,756,253,409,033,110,296,622,698,551,014,754,623,095,603,442,530,639,785,
447,925,188,164,621,677,076,046,640,245,427,854,462,078,573,973,569,078,728,
492,894,782,775,407,505,211,848,491,878,216,749,216,134,179,878,885,187,701,
675,795,722,045,176,029,113,104,207,880,303,160,028,529,872,596,558,663,849,
927,392,931,528,788,229,346,680,580,071,944,007,909,594,783,397,198,402,749,
768,794,095,599,543,924,570,939,519,351,732,152,801,257,784,007,778,513,646,
045,825,637,884,277,049,722,653,948,231,886,433,435,760,312,121,801,206,542,
190,706,748,520,098,117,664,111,378,743,621,941,805,458,624,289,077,375,278,
366,440,209,982,040,629,124,862,074,801,933,522,492,670,115,509,799,520,811,
044,470,099,906,838,235,275,195,135,483,615,187,825,612,606,282,180,562,455,
917,338,051,848,277,956,180,054,598,243,458,080,542,557,571,181,650,796,264,
889,816,608,703,999,256,450,924,889,237,098,210,137,386,213,247,374,886,793,
173,131,532,406,443,039,650,733,796,808,639,389,038,056,120,277,675,641,243,
891,539,841,494,295,491,889,942,916,826,792,883,295,282,042,415,047,183,704,
329,025,002,398,617,176,603,037,882,511,604,662,468,296,646,403,998,425,466,
931,585,906,807,708,557,903,659,634,778,216,475,168,920,546,749,016,533,790,
086,877,602,499,882,588,811,150,249,706,702,328,928,377,530,256,703,967,676,
228,772,578,392,161,106,821,510,333,317,657,648,439,670,240,298,960,273,678,
137,196,563,001,472,376,297,169,942,049,811,557,990,013,323,824,253,327,175,
701,331,656,870,712,347,082,305,380,989,109,695,647,929,261,489,290,623,331,
190,194,387,017,525,206,428,387,696,624,071,235,736,731,313,332,335,816,749,
188,161,313,020,320,973,106,554,958,270,137,062,190,796,390,520,006,143,964,
347,666,980,013,463,079,603,359,870,076,844,482,080,864,437,298,536,529,091,
000,305,473,935,189,727,857,428,669,027,803,806,160,139,681,041,221,168,486,
054,033,746,042,555,017,186,974,385,539,096,149,324,494,063,090,389,278,366,
279,949,720,015,735,495,431,879,528,989,997,756,813,671,015,905,840,587,421,
744,204,710,427,675,860,980,751,983,855,541,363,807,186,887,776,645,685,122,
434,194,146,166,012,859,957,077,758,197,879,701,090,243,820,238,174,610,838,
654,877,483,927,716,869,719,667,949,644,235,770,687,547,809,876,304,316,585,
184,303,386,514,963,793,297,269,292,096,254,501,057,816,561,306,668,111,507,
464,881,187,695,534,419,050,218,907,549,176,873,177,218,745,039,627,477,673,
146,069,886,780,069,745,665,544,447,453,825,405,536,266,250,005,366,246,863,
014,403,049,773,881,825,850,785,620,273,709,273,965,893,481,922,653,004,783,
011,562,679,442,126,752,174,039,421,805,727,908,277,334,595,743,553,732,566,
719,181,838,428,270,498,047,987,864,510,196,243,400,124,487,750,332,985,914,
966,054,978,695,567,437,187,841,283,633,359,143,174,733,907,899,433,757,690,
808,992,146,346,279,720,490,620,424,865,899,514,494,833,889,759,291,254,168,
333,513,192,890,850,288,111,152,964,708,849,219,014,976,950,174,741,974,617,
465,712,518,405,586,397,022,716,723,536,553,021,250,639,688,214,804,268,435,
471,478,705,552,490,415,198,172,253,629,775,052,433,879,308,604,692,210,667,
829,558,740,491,894,342,735,776,390,539,104,300,676,528,090,229,665,255,902,
090,958,716,616,885,808,417,559,703,350,659,947,825,238,148,099,975,925,629,
762,571,754,821,177,726,103,166,515,493,118,390,271,136,283,237,364,805,399,
996,011,836,111,794,236,839,933,415,881,081,502,028,031,578,230,154,952,657,
973,320,192,589,962,233,985,317,338,202,456,351,923,082,350,033,481,476,236,
437,576,493,048,945,858,349,573,910,095,581,349,888,908,372,881,263,449,038,
540,278,766,177,901,079,213,892,206,827,753,200,601,394,061,643,146,457,810,
846,160,352,911,972,455,946,680,617,948,337,172,648,038,509,596,177,278,687,
271,923,398,567,786,587,455,381,923,986,000,721,064,572,737,406,482,198,836,
557,210,484,596,870,326,781,914,473,889,778,477,360,448,929,894,547,846,527,
393,540,302,133,927,359,069,079,677,742,450,842,191,159,582,545,233,436,003,
234,477,953,486,928,737,291,947,519,202,176,191,115,859,642,630,617,064,102,
754,250,936,237,144,486,829,228,573,928,519,415,009,471,331,259,324,701,052,
399,128,976,144,092,006,729,744,828,621,139,951,216,380,350,433,402,433,449,
621,634,046,612,660,558,834,132,030,534,925,401,454,554,234,234,427,358,640,
111,711,783,382,899,241,013,141,390,167,378,822,141,345,537,823,828,887,148,
895,546,315,200,666,030,189,142,894,106,313,509,585,752,188,780,538,943,550,
639,600,227,221,234,267,273,905,015,320,625,422,515,475,417,742,976,349,884,
654,817,397,994,869,263,676,551,635,839,201,308,126,421,625,243,723,939,201,
395,306,631,195,288,358,993,276,910,921,849,144,764,043,809,578,414,680,531,
967,219,312,717,297,435,231,044,882,338,695,666,281,756,717,391,442,192,576,
196,632,563,056,503,452,293,731,643,596,270,950,245,813,021,367,214,928,809,
350,789,877,873,292,715,184,474,364,025,328,607,787,202,130,999,128,883,742,
522,143,647,099,843,465,142,891,099,155,328,697,227,640,866,927,422,673,768,
203,324,385,948,713,649,471,790,776,802,407,105,707,911,220,354,675,148,616,
808,623,088,607,744,393,362,185,231,779,089,259,395,824,309,795,607,916,635,
213,384,400,889,478,515,372,704,030,714,105,417,397,356,013,994,243,920,651,
382,868,142,981,311,141,597,466,882,381,009,611,673,806,204,124,535,128,756,
841,805,122,088,823,492,757,919,604,304,105,287,079,058,127,018,928,917,681,
664,582,967,913,194,528,446,232,774,813,015,840,115,427,712,332,482,462,885,
900,007,260,453,684,491,706,058,334,067,209,674,738,338,358,506,347,129,952,
027,197,959,301,786,533,408,035,374,437,143,488,749,184,980,901,429,808,161,
677,981,392,781,236,033,920,067,101,446,554,533,171,429,855,490,877,746,822,
640,091,508,320,830,242,662,981,356,538,937,652,985,806,322,317,231,829,793,
586,584,737,507,281,909,535,203,038,735,092,265,268,580,716,048,711,220,055,
474,644,382,546,465,209,821,055,003,211,555,102,384,729,042,495,248,127,002,
429,214,936,198,637,698,791,559,443,144,846,419,693,313,845,976,914,683,774,
555,850,214,907,843,144,314,017,265,348,706,267,954,455,802,222,579,873,067,
228,284,021,104,145,435,061,239,545,098,469,308,883,732,426,564,015,758,155,
164,467,403,300,812,050,293,563,277,504,903,877,424,384,612,530,398,412,622,
402,347,916,443,200,065,150,817,153,850,770,613,296,962,414,096,706,319,916,
475,149,532,792,276,091,818,578,222,105,948,703,854,376,742,403,154,410,179,
685,528,436,397,605,629,793,606,596,716,998,820,449,434,332,398,344,132,150,
512,708,024,814,616,715,689,232,640,157,998,058,218,411,131,745,223,101,502,
387,230,447,347,366,479,154,625,872,433,436,840,410,176,233,637,305,934,841,
795,993,467,205,114,502,493,804,252,850,231,869,468,154,977,381,438,026,307,
240,409,816,679,681,731,375,938,989,782,850,867,360,692,999,239,731,761,683,
924,461,158,060,935,042,222,051,195,553,429,119,256,923,157,836,058,331,134,
238,997,656,561,811,617,864,524,935,614,497,601,718,757,973,839,144,340,887,
089,051,978,147,085,456,149,265,423,674,900,678,700,651,404,734,363,693,222,
273,491,247,736,803,667,890,691,939,602,358,827,540,068,152,911,177,337,959,
834,240,424,360,515,095,122,463,338,141,952,682,195,739,645,797,738,608,308,
787,020,791,545,329,238,298,187,760,011,352,780,740,224,604,906,991,834,459,
933,054,741,169,652,997,069,318,420,767,018,952,513,913,745,948,394,686,114,
959,429,336,580,786,853,627,675,494,122,522,811,850,224,113,539,360,524,932,
905,340,405,913,913,668,279,417,696,031,652,183,011,552,124,697,824,601,800,
417,471,477,566,405,347,903,245,729,032,572,002,123,648,929,855,945,968,935,
381,695,399,728,917,612,337,007,247,469,320,219,679,023,487,236,484,459,899,
919,418,676,675,241,348,610,163,450,754,551,416,469,509,481,191,636,890,418,
172,044,430,958,286,573,518,198,235,379,658,358,746,931,606,300,862,081,330,
091,979,601,494,216,320,186,442,973,564,334,348,021,271,324,591,791,838,565,
325,832,195,012,274,355,101,603,031,281,098,148,873,706,965,535,871,594,094,
002,121,700,698,662,618,740,710,183,029,037,048,496,425,981,475,453,253,353,
309,582,909,221,029,103,921,343,372,526,322,947,093,371,488,224,978,431,844,
262,865,030,307,024,864,339,639,130,512,368,386,228,714,120,300,643,835,847,
688,338,393,767,180,427,897,000,874,329,534,048,960,041,264,376,615,459,405,
630,809,495,121,647,960,182,180,635,159,681,514,875,000,852,249,925,291,493,
747,372,310,097,024,207,658,393,641,101,072,769,672,206,322,691,591,388,810,
166,003,869,373,639,469,536,492,152,346,566,361,854,237,421,597,879,311,252,
658,528,608,851,184,425,904,619,476,910,055,188,484,791,563,273,165,754,038,
619,734,617,447,226,129,610,966,954,004,902,381,884,069,019,876,344,088,727,
003,508,588,771,681,224,229,996,914,046,253,954,532,464,626,098,768,190,681,
105,714,473,149,078,635,033,577,582,966,291,858,542,141,090,332,346,186,791,
735,663,747,567,659,682,233,853,820,646,354,457,409,432,086,152,035,589,981,
718,606,807,638,547,236,637,819,770,066,445,712,334,407,648,463,095,779,528,
071,923,482,325,878,076,119,673,761,539,577,643,943,073,367,255,089,662,854,
044,924,493,072,798,105,751,763,718,699,864,684,294,248,086,405,110,548,134,
152,318,435,642,255,993,987,201,614,375,935,601,280,583,040,934,715,628,605,
363,144,384,509,258,375,713,669,645,634,521,350,792,140,125,213,977,675,401,
555,606,159,876,499,453,578,021,738,563,245,040,503,878,345,755,424,905,298,
611,825,548,445,821,364,158,117,172,673,791,204,249,358,950,333,328,781,304,
984,129,256,450,326,188,774,181,976,472,001,974,691,098,169,007,145,628,164,
377,302,043,331,545,979,551,682,461,012,433,588,729,780,299,487,665,880,695,
094,159,717,670,596,487,833,041,191,420,807,608,753,724,024,073,498,196,579,
656,152,432,528,559,660,980,380,092,198,379,794,543,201,503,539,108,526,586,
608,848,036,631,702,715,404,902,466,722,689,119,691,628,442,333,800,906,871,
211,002,741,586,688,275,403,267,482,411,299,451,869,652,703,334,146,235,088,
952,162,356,352,671,475,730,508,267,116,979,094,112,894,680,461,054,817,677,
151,503,021,585,365,282,443,704,510,111,949,227,226,151,205,989,010,409,314,
557,531,670,495,476,030,439,509,840,853,122,435,522,749,204,862,242,495,034,
011,766,729,979,433,335,673,636,229,487,052,374,955,521,113,065,171,004,045,
322,613,019,676,126,053,460,756,643,244,094,524,485,681,883,472,814,651,507,
506,222,681,059,220,238,025,252,162,330,590,601,106,950,202,542,522,909,393,
874,602,386,871,596,930,136,517,396,946,711,899,383,799,886,510,328,146,214,
866,406,715,583,455,416,293,444,184,910,752,885,582,898,533,342,603,627,566,
529,742,256,811,150,561,056,038,435,222,875,332,517,332,153,813,449,878,182,
938,983,006,409,325,835,232,790,644,018,022,643,680,898,781,505,351,164,822,
796,760,415,185,597,952,809,933,158,857,892,931,675,397,531,260,775,038,378,
143,570,304,525,850,724,974,346,461,804,904,497,166,402,273,533,756,892,826,
187,918,628,896,483,571,878,350,780,851,488,780,578,751,431,996,883,837,459,
760,379,507,147,260,584,075,332,202,413,777,312,146,047,961,866,455,710,956,
942,257,343,612,091,537,019,615,131,078,968,506,328,487,359,982,798,760,174,
821,342,225,532,142,541,667,334,753,633,325,064,755,437,232,092,022,747,707,
352,382,839,803,700,032,058,669,594,735,606,899,701,666,748,256,855,765,227,
848,054,729,849,692,077,818,973,137,009,268,499,679,705,497,627,028,343,055,
233,301,658,694,186,504,190,115,169,749,815,645,089,809,612,166,605,218,889,
588,837,858,020,785,649,123,161,573,608,157,948,959,849,501,835,943,836,937,
177,987,441,346,046,367,829,826,411,648,100,067,107,589,005,605,450,574,070,
299,608,489,099,409,499,622,208,401,242,561,663,010,130,342,732,457,428,829,
633,797,390,566,833,060,259,080,037,326,240,380,292,179,568,005,612,906,166,
324,991,971,620,465,825,229,864,460,396,477,249,999,586,955,012,876,574,245,
868,420,658,961,560,020,868,456,673,336,388,404,870,176,530,766,152,618,623,
747,607,560,694,970,167,711,260,564,392,204,325,317,526,045,425,372,692,678,
861,530,585,780,879,465,973,342,181,221,461,100,497,598,864,792,652,678,435,
574,882,700,480,566,714,454,852,343,508,696,542,436,536,054,493,677,804,239,
927,626,578,853,744,957,600,044,819,779,082,622,306,087,540,040,455,821,212,
973,874,895,711,874,898,726,810,055,555,733,580,306,127,110,325,150,602,817,
064,520,123,740,127,163,924,544,688,563,850,790,446,145,664,672,786,608,544,
792,837,269,538,497,233,881,258,338,159,659,989,249,350,163,878,347,517,669,
556,894,150,618,743,948,077,996,850,727,723,104,540,356,002,647,951,850,781,
777,691,924,545,186,268,917,827,592,789,364,420,511,109,207,674,520,352,265,
529,613,490,383,837,655,951,138,933,454,323,675,434,908,607,027,003,357,184,
229,878,091,033,317,964,055,266,270,008,702,994,119,165,733,150,381,308,498,
657,208,934,242,799,357,006,355,777,160,123,626,521,162,151,180,780,500,944,
872,678,090,000,813,847,189,076,936,576,520,651,968,180,385,314,358,329,979,
494,646,583,129,636,367,858,716,030,448,826,228,908,394,140,553,401,125,236,
937,041,600,681,976,771,737,504,526,701,201,591,253,468,481,939,911,589,720,
862,475,707,664,587,431,514,613,362,346,904,853,810,682,383,852,002,151,849,
814,985,188,700,370,760,468,767,624,199,287,085,639,171,355,902,948,296,779,
255,489,711,803,975,334,116,072,811,122,657,149,975,819,268,704,344,337,915,
644,639,136,016,878,110,379,120,640,163,209,723,346,996,544,509,691,761,548,
185,529,336,977,104,088,939,893,458,276,660,785,268,159,278,286,219,855,517,
463,219,549,222,541,386,186,270,070,429,827,376,969,250,703,454,307,805,372,
983,068,053,653,159,283,940,923,326,342,872,754,590,556,236,590,774,846,751,
772,914,481,391,167,187,756,349,315,553,560,455,361,120,097,457,499,834,511,
796,132,900,799,889,442,440,583,056,496,352,806,738,158,350,010,963,070,836,
917,281,313,929,339,371,100,764,822,350,753,507,361,001,713,860,493,781,782,
772,457,451,423,665,811,269,923,685,267,978,296,202,202,299,951,727,377,722,
938,460,343,525,741,473,085,791,568,412,893,677,403,124,397,500,346,269,932,
954,454,859,079,380,009,247,901,658,849,437,724,170,355,238,005,653,077,065,
027,423,340,471,691,547,585,051,121,697,228,243,573,560,480,098,960,674,601,
522,725,476,488,833,578,352,667,970,847,725,081,702,894,280,265,325,759,972,
196,293,268,124,090,765,538,247,903,154,528,620,903,346,573,432,310,874,345,
960,896,523,854,656,833,207,657,468,353,767,182,485,904,837,579,694,478,808,
381,170,950,625,465,171,467,011,078,322,904,021,465,244,166,639,440,883,272,
933,055,280,486,116,787,694,105,860,014,594,462,214,359,013,297,285,510,345,
403,338,146,034,720,512,839,901,392,734,791,222,022,373,014,531,986,135,228,
835,243,350,021,295,530,146,809,536,973,773,616,644,544,455,331,259,020,596,
834,302,911,192,512,120,892,752,927,670,991,874,302,523,797,297,625,885,498,
797,825,683,269,092,983,934,238,015,352,215,218,814,759,158,276,079,337,812,
856,938,306,474,812,253,219,355,542,717,850,663,838,511,177,461,987,484,965,
623,385,291,603,187,011,004,330,683,366,453,515,260,979,343,205,102,786,068,
682,062,354,747,913,497,367,861,869,465,143,042,427,799,620,182,069,914,786,
791,049,276,337,245,470,116,236,872,723,146,359,188,222,642,072,545,389,690,
137,175,390,464,505,283,504,789,841,041,237,498,199,162,081,958,122,052,600,
942,272,261,260,639,111,788,517,042,890,864,759,667,669,825,299,456,483,092,
263,323,645,892,124,250,079,011,566,229,772,098,081,136,679,006,720,452,016,
517,758,175,240,532,034,890,345,771,888,133,827,619,598,160,742,213,347,969,
753,310,263,997,624,683,604,818,509,253,123,330,759,448,638,369,495,405,946,
752,769,415,831,426,256,886,572,633,979,276,232,171,235,231,266,508,529,518,
252,508,488,508,852,505,290,118,791,224,893,977,013,857,872,336,181,413,471,
196,800,540,526,264,933,757,098,921,147,828,221,307,540,612,842,413,962,158,
255,510,432,712,199,249,262,272,448,172,415,708,441,710,006,172,471,141,346,
773,356,096,069,695,296,554,932,955,615,327,932,877,200,525,497,058,788,989,
465,014,430,055,624,491,061,359,586,862,915,471,130,094,502,114,507,134,508,
989,997,613,856,912,292,328,358,727,174,247,773,330,059,705,457,418,093,123,
471,095,011,349,517,493,389,205,725,778,950,617,743,793,590,318,345,456,141,
176,921,616,683,574,559,836,993,813,209,609,637,903,861,156,044,100,180,842,
843,337,967,885,765,237,049,257,066,653,607,293,515,948,215,209,165,335,834,
357,562,849,167,351,614,844,676,989,203,570,957,382,751,874,833,709,160,405,
737,913,783,381,954,879,159,755,093,828,814,372,710,514,903,668,929,588,586,
738,936,649,816,834,139,217,298,883,780,064,632,759,412,226,574,825,868,034,
970,456,075,850,167,469,944,505,480,552,183,797,454,860,601,223,499,094,907,
838,414,303,052,317,383,012,098,754,964,263,421,350,274,294,595,364,154,006,
052,799,859,659,386,964,726,057,401,255,812,675,264,863,790,373,442,250,786,
500,310,353,203,688,339,504,207,387,103,953,756,244,909,200,143,205,811,256,
583,105,069,347,550,257,058,234,409,168,593,030,774,021,110,150,748,167,005,
890,656,816,292,142,454,459,725,205,851,075,315,195,130,282,235,043,816,807,
230,211,884,127,008,295,830,874,468,796,978,384,336,830,571,384,387,452,015,
582,714,946,355,276,877,528,168,453,134,426,568,014,015,654,293,790,479,622,
814,601,925,562,166,094,147,799,227,316,658,675,867,247,100,607,501,136,115,
533,508,314,803,196,835,244,185,379,289,403,225,775,302,819,652,564,876,036,
161,715,402,837,663,622,038,767,604,097,896,863,050,251,702,915,881,578,017,
592,208,730,494,584,341,541,650,929,568,411,856,746,966,773,617,402,194,110,
727,803,338,092,760,645,561,818,802,173,531,248,988,095,158,748,555,019,385,
075,971,855,973,294,441,374,470,393,485,587,315,849,793,163,334,864,277,081,
497,607,546,229,832,020,036,656,009,403,003,511,250,824,888,781,322,857,356,
000,483,261,856,254,646,621,803,975,264,339,197,706,896,853,388,643,696,608,
248,072,479,390,224,410,971,121,217,580,680,067,352,236,811,896,088,209,954,
689,051,202,348,013,070,774,973,079,893,632,553,072,436,753,423,917,367,835,
632,609,866,907,593,847,218,143,095,585,815,625,388,092,291,645,254,820,065,
548,852,807,641,041,744,666,092,887,503,478,658,081,741,804,518,792,972,152,
952,122,591,352,914,699,760,107,348,247,389,554,559,181,978,633,659,232,519,
090,422,382,659,059,585,762,118,522,282,548,836,435,898,253,828,455,234,811,
163,422,748,111,459,680,758,779,038,262,367,411,849,579,683,371,567,798,417,
829,535,501,168,741,684,592,905,767,413,058,339,461,098,584,094,179,523,216,
917,935,000,218,129,446,596,915,309,738,913,187,564,792,019,452,494,671,242,
774,819,142,317,255,099,358,316,502,388,231,645,073,072,831,254,765,742,642,
337,163,232,428,783,167,930,068,413,422,883,632,469,462,126,113,560,805,652,
803,498,051,912,639,642,824,751,745,662,608,642,758,957,703,995,762,787,746,
612,565,060,352,612,869,619,402,405,980,827,323,184,736,107,037,617,347,962,
572,701,390,350,989,194,036,519,300,547,719,843,311,430,436,140,628,231,954,
214,227,888,233,426,426,665,599,814,185,365,663,477,654,336,092,363,981,834,
513,786,123,616,138,231,891,460,389,396,527,767,466,582,550,340,914,089,288,
920,848,898,856,450,530,826,398,546,972,791,461,189,035,319,470,385,198,510,
733,558,785,036,070,716,424,637,404,408,945,497,924,910,335,463,746,050,886,
730,575,811,338,690,863,041,081,680,674,754,644,945,074,611,910,550,845,852,
928,395,005,320,470,596,751,143,308,491,864,128,879,040,433,478,140,556,075,
305,560,412,627,413,623,414,547,841,686,342,596,527,463,268,237,766,969,739,
047,143,428,705,331,366,462,861,209,239,017,399,571,977,650,936,320,892,585,
038,399,131,124,365,327,195,403,882,772,904,810,763,403,928,996,240,298,380,
921,541,764,776,837,218,722,307,570,863,422,692,297,163,014,832,185,542,661,
111,890,879,980,957,249,685,597,923,975,620,656,902,992,699,451,082,403,903,
360,770,999,514,636,938,787,778,823,540,347,250,375,612,310,257,953,211,619,
036,299,243,474,215,899,492,362,442,416,354,359,958,547,269,925,633,375,358,
741,072,422,683,619,843,593,386,768,246,062,359,916,462,679,108,529,131,194,
331,593,724,108,467,250,032,110,362,782,684,506,317,309,882,305,888,426,812,
916,251,058,228,491,016,260,855,603,527,426,361,228,193,090,820,842,382,557,
311,037,322,109,285,244,965,645,652,566,869,569,555,409,132,719,011,716,890,
646,525,268,607,994,388,703,194,377,994,031,467,187,513,057,761,116,404,814,
319,346,554,149,597,942,083,460,563,446,041,287,379,443,812,064,555,025,009,
707,914,335,712,596,338,339,012,261,956,865,734,244,497,373,221,676,838,734,
635,332,733,163,342,597,826,198,871,868,702,567,003,617,778,998,029,681,252,
002,175,137,409,164,676,052,482,473,345,580,816,579,194,902,371,250,159,509,
670,282,885,990,817,265,307,874,742,204,109,967,208,371,158,464,731,849,817,
624,728,926,563,525,315,114,184,411,780,322,197,189,663,857,627,288,415,965,
170,300,365,585,133,511,602,080,773,516,765,462,341,156,153,692,861,821,346,
740,166,557,276,037,102,692,184,941,933,900,376,171,769,026,200,717,926,917,
341,938,925,295,315,506,716,800,629,001,237,456,514,987,962,769,846,747,001,
932,704,041,684,432,392,155,152,710,344,441,470,615,349,937,662,831,714,625,
166,396,600,077,727,721,512,428,167,788,496,230,186,936,612,786,140,780,187,
452,449,992,385,149,927,407,184,750,154,408,066,470,675,056,837,411,351,808,
554,712,033,960,896,262,503,484,860,027,596,609,341,200,402,209,882,357,235,
216,595,029,879,676,765,030,958,185,494,129,210,324,240,723,951,553,653,451,
235,488,265,724,437,159,243,780,973,279,912,431,286,087,906,557,196,662,926,
088,275,872,687,329,745,683,958,999,598,898,790,976,054,383,529,241,153,220,
967,511,663,369,155,926,348,347,447,025,589,398,911,801,701,572,214,169,453,
150,406,338,545,592,575,397,345,337,709,489,407,220,539,265,362,207,272,251,
385,372,557,755,498,673,491,093,052,725,552,124,452,287,324,591,142,188,242,
198,194,189,054,239,049,475,054,385,167,773,962,674,940,385,461,508,439,965,
704,505,019,767,720,400,757,827,214,818,046,056,009,568,355,432,262,492,599,
778,665,323,203,991,340,835,167,333,569,821,648,886,718,445,019,069,575,640,
991,328,342,961,952,308,611,479,145,794,389,501,019,081,225,500,706,098,545,
695,166,433,533,618,155,639,074,519,846,736,955,355,553,032,965,457,447,913,
817,019,569,887,314,763,074,056,059,060,804,481,256,266,117,802,140,835,304,
667,618,549,714,560,990,110,523,289,661,253,941,205,169,764,315,010,972,431,
172,254,366,155,473,739,738,933,359,638,622,641,413,095,952,699,743,541,964,
414,464,690,164,198,423,432,638,912,653,104,361,675,636,766,801,770,243,298,
070,353,639,958,047,886,086,291,395,369,258,416,026,461,940,155,326,760,870,
105,595,842,724,578,202,976,708,817,098,949,466,301,148,089,969,293,531,504,
567,755,130,814,970,013,992,663,192,051,555,565,039,666,304,873,919,040,757,
423,436,104,404,160,483,283,711,987,375,593,274,998,004,506,009,933,694,884,
771,245,293,943,499,086,900,221,614,652,146,352,289,901,936,400,869,375,333,
043,099,068,991,236,502,683,575,906,355,775,715,244,119,735,857,953,668,919,
672,087,335,017,704,526,703,344,205,481,816,477,442,117,020,189,688,070,723,
189,659,066,076,902,333,433,454,714,523,405,163,074,617,834,429,919,938,586,
860,557,300,455,535,493,359,489,335,513,588,725,259,857,456,573,087,004,152,
648,913,174,123,192,866,016,652,606,893,321,254,210,443,358,197,301,856,207,
075,321,178,879,462,024,966,071,725,317,500,232,979,410,212,482,341,208,948,
643,179,696,392,251,763,347,953,130,720,438,005,805,530,788,831,575,271,056,
832,225,342,065,543,557,686,730,353,897,674,683,574,358,447,322,596,546,311,
791,507,916,028,124,215,712,173,768,072,865,331,854,527,071,747,163,834,008,
995,057,547,987,874,175,209,337,134,050,613,764,732,540,629,843,021,616,322,
056,253,091,805,123,885,821,140,159,704,053,844,436,870,346,984,124,305,314,
700,989,770,661,551,525,965,721,060,352,780,958,890,893,323,293,164,690,703,
541,221,801,781,891,825,420,188,926,318,219,866,694,029,993,645,427,103,325,
798,129,252,054,748,319,626,450,283,558,330,608,861,898,886,711,877,851,086,
298,101,274,887,411,908,269,268,762,434,000,814,585,221,652,616,107,653,990,
073,016,724,508,709,874,144,129,367,245,094,343,743,955,313,930,317,668,274,
297,643,704,291,142,389,492,085,855,040,497,000,628,140,044,844,565,276,912,
748,748,704,442,303,858,991,534,860,382,313,343,206,646,830,886,883,277,786,
408,947,561,791,907,412,437,681,354,707,139,629,691,006,123,441,307,630,677,
403,288,090,153,523,291,419,666,625,021,988,923,335,426,738,953,856,479,627,
822,616,281,028,673,691,981,114,583,805,662,273,101,475,749,845,210,669,420,
851,632,388,688,639,669,848,514,376,534,432,164,982,063,247,793,234,882,100,
192,246,085,311,989,355,337,954,892,856,412,801,909,441,277,212,011,464,970,
341,586,309,357,245,945,129,110,666,116,789,182,449,553,542,572,021,236,658,
762,112,353,936,928,546,662,809,280,959,947,282,042,250,809,254,675,898,970,
469,949,494,200,701,239,011,342,856,170,544,006,647,086,978,459,760,198,465,
654,584,589,591,914,429,780,152,484,041,636,407,940,488,694,822,076,308,446,
593,866,490,003,677,505,413,193,602,232,309,529,278,891,044,138,967,067,448,
667,444,970,510,461,333,585,177,095,999,232,742,479,845,775,257,037,468,577,
173,308,091,377,211,608,713,402,721,370,532,057,639,011,767,688,520,222,416,
684,030,842,856,541,812,696,410,920,538,784,306,807,084,951,601,026,848,619,
000,611,384,556,409,465,256,763,653,932,066,372,344,901,139,880,983,843,167,
374,208,182,319,484,480,572,069,033,825,833,566,617,447,003,175,380,015,137,
576,536,252,965,787,068,413,216,605,605,121,468,347,413,893,720,228,433,249,
183,900,392,599,053,877,592,154,844,496,571,955,217,278,070,957,719,344,010,
686,270,849,131,386,578,043,076,197,825,862,668,789,747,779,525,086,386,158,
561,816,325,265,246,174,743,270,970,505,198,418,632,926,651,988,265,603,659,
094,306,644,933,454,923,133,765,747,064,682,706,428,560,706,653,532,756,610,
594,909,788,913,688,496,417,883,427,376,064,706,666,920,756,613,925,485,773,
485,487,994,743,896,387,093,592,855,863,931,907,601,389,458,605,700,332,657,
735,820,058,039,731,495,082,180,981,005,281,655,981,940,640,927,837,085,745,
649,057,585,284,323,805,954,031,276,806,413,192,798,054,802,722,722,578,974,
504,569,404,406,984,510,304,925,246,648,350,746,901,107,700,122,337,172,875,
760,796,090,660,150,805,820,783,903,261,492,310,803,256,968,511,836,552,108,
258,542,409,601,199,697,198,471,688,541,761,316,166,982,116,798,134,947,138,
387,203,990,678,170,430,090,739,225,265,494,295,889,268,023,189,737,562,381,
697,711,568,644,095,862,527,435,570,980,880,314,762,976,227,320,622,845,110,
385,478,748,947,895,160,240,785,531,139,565,303,471,132,814,349,899,894,392,
571,542,791,502,489,883,636,390,795,914,133,667,671,773,335,280,440,671,037,
543,139,542,324,115,739,574,779,136,778,294,000,601,319,132,668,196,922,551,
051,336,196,547,788,431,821,610,301,867,393,061,747,022,113,769,639,096,197,
112,264,489,483,836,877,077,367,614,545,428,040,190,894,467,565,850,806,876,
096,032,104,737,304,834,359,293,859,617,235,903,914,229,703,221,227,466,306,
403,005,198,707,278,848,590,990,860,292,580,654,139,736,495,217,138,780,678,
505,447,072,413,777,451,350,182,368,467,281,857,094,504,349,631,729,913,545,
654,218,517,593,455,185,739,272,422,134,518,840,935,559,360,904,249,695,667,
548,153,223,162,424,881,735,906,312,099,127,163,541,251,569,292,273,737,856,
209,114,640,164,244,030,640,357,030,815,943,832,786,787,879,726,616,823,164,
563,048,488,037,192,277,523,691,067,904,208,965,696,392,364,419,108,945,312,
282,530,178,194,693,141,073,316,495,124,229,784,692,417,756,174,334,168,404,
269,042,762,743,281,997,379,030,300,134,908,730,300,455,675,161,059,084,123,
487,416,591,508,587,321,204,426,422,578,298,792,053,642,977,582,071,833,414,
016,715,598,294,241,670,034,731,229,793,950,710,825,460,336,161,515,684,600,
161,329,367,083,722,739,509,120,021,345,165,458,377,896,424,900,921,896,415,
480,998,036,251,738,636,325,875,348,955,684,282,228,849,785,805,049,504,202,
093,185,815,632,594,820,177,973,924,101,160,038,895,844,158,754,952,579,440,
096,505,668,986,708,900,018,473,093,671,019,576,149,259,781,395,270,965,639,
700,110,653,247,569,667,064,182,823,640,600,527,961,113,205,598,380,814,098,
334,990,923,333,897,055,077,866,586,020,323,439,741,538,567,338,404,233,623,
093,407,810,759,958,111,381,623,590,489,706,317,943,425,382,801,695,948,635,
728,270,399,131,435,966,532,326,879,905,646,953,137,938,651,626,411,914,422,
025,269,459,584,429,669,573,226,388,849,425,183,321,629,440,042,624,173,512,
837,698,291,907,779,666,275,417,290,458,661,864,839,779,453,631,931,276,500,
467,071,676,993,754,950,090,589,167,692,261,013,530,476,738,531,083,174,726,
011,428,603,218,691,626,050,543,436,317,967,794,624,093,911,905,812,386,863,
778,330,509,044,395,023,552,489,654,207,950,290,532,616,713,073,548,374,087,
238,549,232,483,056,761,044,438,870,142,428,536,082,652,568,014,353,251,544,
873,614,119,218,921,424,031,047,556,126,128,855,339,065,214,452,210,623,546,
789,122,745,988,808,557,322,834,450,812,467,054,460,898,791,546,063,931,904,
295,983,654,344,366,017,206,261,175,488,520,893,837,406,908,379,659,581,066,
966,332,414,820,878,098,811,724,343,336,540,795,896,785,925,627,592,972,346,
859,499,716,367,659,641,603,027,825,022,447,134,882,772,127,201,879,269,272,
385,628,791,134,025,140,406,227,515,729,336,848,934,035,087,128,344,141,856,
246,512,020,879,533,504,876,877,284,858,000,857,537,031,095,433,652,512,495,
211,650,951,719,282,236,168,037,570,977,425,745,397,464,287,648,366,785,177,
728,842,592,011,053,893,277,772,062,905,878,190,873,183,399,653,666,617,954,
536,904,788,808,301,716,468,937,308,517,547,771,418,474,454,007,932,330,402,
620,791,763,549,777,027,958,142,013,511,600,750,652,041,429,514,080,503,408,
793,954,215,617,431,917,763,949,902,509,614,861,506,854,881,944,396,463,849,
331,223,993,236,758,508,816,648,161,775,490,865,058,285,528,286,788,697,961,
608,165,265,170,689,411,218,567,021,066,600,070,068,468,501,771,781,491,329,
547,566,453,357,346,315,894,768,656,706,678,881,880,402,648,002,971,183,393,
174,128,005,377,455,643,681,067,440,039,999,952,517,487,328,962,545,016,509,
574,185,044,324,302,707,645,788,555,116,802,350,173,186,320,832,179,325,159,
310,970,254,302,427,886,197,964,664,877,959,423,624,632,123,587,102,802,087,
489,234,658,209,297,643,456,358,418,289,329,855,318,404,468,158,168,910,415,
290,084,979,492,523,903,839,915,566,231,181,632,693,875,470,618,097,902,890,
104,641,819,113,338,947,526,755,432,353,563,159,854,695,816,510,241,593,825,
482,182,973,763,377,977,923,528,205,734,875,536,879,918,768,917,086,851,779,
256,721,595,247,248,038,184,806,739,116,881,517,649,786,430,909,922,218,905,
479,711,470,003,448,155,072,371,304,279,063,726,960,613,550,161,922,717,434,
470,773,452,032,003,930,486,282,729,105,657,824,198,160,328,869,008,516,130,
866,187,088,338,542,179,466,874,550,248,247,791,296,026,456,259,562,350,209,
910,476,605,995,283,391,404,675,958,640,081,832,007,144,619,472,961,262,580,
366,959,798,186,737,079,274,284,871,728,581,898,852,148,651,826,807,618,732,
023,286,109,702,888,933,000,170,092,168,302,156,528,020,100,090,840,909,967,
391,412,474,741,993,925,034,070,706,575,745,611,283,887,231,285,875,522,215,
498,063,819,030,258,701,553,166,438,095,870,872,149,961,158,736,575,328,440,
854,346,776,560,384,994,218,263,888,073,785,067,371,696,324,637,517,949,162,
421,789,629,084,013,787,635,055,873,156,703,200,625,199,344,610,118,593,448,
756,045,967,955,542,443,646,117,537,327,641,551,374,456,335,398,494,136,146,
833,438,795,639,345,744,066,527,559,996,575,299,271,692,589,996,956,361,996,
334,236,810,822,949,617,606,360,603,449,754,344,699,617,477,472,359,006,039,
318,090,110,669,837,076,813,245,451,599,752,013,151,577,878,824,218,042,134,
293,367,440,606,666,146,163,825,839,823,910,243,422,035,098,902,736,546,606,
138,699,947,922,032,868,070,618,693,704,845,049,575,334,508,391,211,558,806,
949,302,120,262,797,005,893,375,306,691,686,015,754,033,623,928,676,222,112,
974,065,206,481,382,308,015,942,384,181,390,437,903,618,553,446,956,316,571,
599,787,955,969,962,824,815,464,195,104,999,321,968,493,547,256,837,688,110,
353,133,063,672,012,517,975,147,539,889,616,867,501,829,311,293,418,160,641,
750,723,740,851,911,445,693,685,777,592,466,610,130,857,244,450,154,678,461,
018,471,239,383,998,453,413,373,198,475,803,646,435,688,244,214,617,071,201,
774,739,125,528,006,694,726,157,056,681,726,300,149,993,724,228,682,747,847,
970,301,771,465,087,688,006,632,799,556,963,059,847,849,865,150,830,206,588,
540,379,950,445,932,177,290,075,913,364,965,399,157,041,403,422,351,613,338,
139,318,795,402,217,456,797,648,721,958,241,555,737,380,101,372,517,513,364,
559,529,103,137,003,073,497,992,047,410,963,774,081,800,925,378,413,979,773,
820,593,732,848,192,135,942,071,254,635,630,878,175,148,337,162,335,490,944,
176,201,516,854,382,933,781,816,819,902,371,918,540,386,352,780,456,295,266,
996,679,753,130,920,431,341,687,796,952,060,747,747,448,049,559,360,547,220,
887,635,008,945,237,937,977,573,465,992,740,634,246,580,578,259,422,309,379,
426,786,767,559,243,149,843,531,970,875,853,057,667,898,681,486,895,952,643,
635,325,664,941,288,003,812,035,295,334,434,897,277,452,128,176,948,140,073,
616,117,914,294,730,100,899,463,736,988,827,165,914,459,194,181,519,180,375,
049,905,825,288,036,082,415,946,183,339,327,645,916,462,999,207,174,710,262,
495,156,431,260,752,058,563,504,020,343,865,604,131,405,234,414,537,190,132,
443,456,677,043,491,880,385,244,924,292,831,505,665,023,255,672,063,204,524,
486,001,339,219,232,746,942,496,516,699,770,463,518,067,322,318,798,524,408,
001,279,213,293,482,107,946,556,048,666,110,763,310,816,372,764,508,167,230,
081,105,722,385,745,181,853,147,223,785,829,759,357,798,696,785,773,982,418,
605,910,952,971,887,379,361,783,606,133,407,190,414,349,642,371,715,028,949,
045,649,476,872,148,562,129,014,087,826,843,753,698,768,541,888,564,625,420,
114,246,497,416,812,996,155,134,167,827,896,341,728,694,099,061,388,144,650,
465,597,544,064,066,214,271,122,252,339,018,955,369,496,133,469,302,744,852,
735,824,472,471,374,890,165,132,700,499,689,191,462,512,862,984,811,879,944,
278,993,019,034,269,926,744,377,531,952,336,726,558,611,733,138,826,212,138,
086,213,818,153,825,692,165,337,146,947,193,260,085,321,282,443,623,306,924,
964,133,093,729,731,255,977,577,768,641,253,686,631,376,581,674,872,023,828,
648,680,465,221,312,253,212,299,683,561,394,703,747,379,957,242,103,067,790,
045,128,792,686,037,313,208,641,568,923,259,224,634,606,700,303,238,920,666,
880,915,142,539,641,398,248,270,149,865,788,281,477,546,008,712,151,021,864,
479,092,939,895,812,718,958,511,814,707,551,575,469,700,888,846,993,165,413,
211,639,340,565,631,227,649,326,169,961,492,172,206,936,566,259,069,877,058,
640,979,721,124,843,684,650,660,865,107,945,932,096,317,044,854,310,851,676,
667,471,607,384,651,474,074,120,818,526,275,183,019,718,645,757,625,562,107,
661,957,295,511,939,224,105,815,381,836,047,789,866,775,407,678,381,816,352,
618,314,558,110,809,623,682,606,447,545,706,847,339,121,573,428,381,388,640,
553,819,945,865,611,314,447,933,578,934,420,515,170,336,205,302,164,324,975,
805,703,861,538,585,734,743,628,463,962,554,439,289,130,984,700,850,716,197,
088,527,502,551,790,038,227,696,789,436,595,696,949,021,479,565,237,526,575,
693,317,870,615,470,070,080,126,333,245,587,961,425,787,936,429,316,289,498,
624,231,602,722,389,280,348,464,213,931,461,184,577,922,083,139,632,608,277,
151,066,391,092,036,771,937,702,828,151,531,662,029,123,302,152,365,101,819,
257,217,825,198,039,322,132,383,174,794,527,137,385,650,225,615,671,526,534,
548,882,678,347,172,179,909,565,630,618,303,934,692,333,166,791,974,960,843,
518,695,093,745,549,547,967,589,779,558,915,421,952,626,552,707,716,361,534,
716,558,397,061,802,514,420,177,842,670,407,544,151,688,102,741,436,301,510,
113,881,733,446,027,410,586,789,091,531,011,770,761,245,720,243,045,541,450,
035,362,677,160,136,798,784,335,966,014,607,192,599,611,285,446,404,690,802,
883,956,738,646,162,859,376,142,161,336,960,100,099,763,736,881,485,077,561,
275,404,717,054,832,417,566,235,107,661,383,806,078,491,737,513,109,054,201,
551,244,146,572,867,945,717,383,619,212,518,955,278,418,373,603,754,393,342,
561,763,427,392,670,155,548,483,875,121,462,684,465,571,177,637,025,805,012,
987,181,055,129,266,934,058,751,001,701,827,774,161,311,013,794,151,104,496,
642,132,430,042,551,131,170,500,347,229,152,465,870,059,480,204,815,010,269,
111,315,927,008,216,921,505,166,917,192,851,607,058,961,460,053,975,679,695,
668,026,528,941,052,015,380,162,928,901,707,366,455,203,962,882,186,575,645,
006,032,812,617,460,095,448,401,429,481,898,663,983,986,040,241,171,787,306,
547,664,480,476,795,929,058,011,883,293,033,733,927,986,748,006,449,237,477,
150,711,167,012,028,535,421,884,011,029,270,968,489,578,543,413,015,984,384,
319,461,244,553,947,688,540,266,941,641,976,560,442,119,848,357,229,769,479,
807,495,445,320,078,244,479,630,752,663,570,366,055,644,289,835,354,034,374,
206,384,964,319,359,049,370,679,361,653,188,984,398,292,095,455,853,956,561,
681,777,958,472,266,407,006,031,011,481,277,835,903,903,077,626,931,489,079,
560,340,406,884,315,064,256,252,100,410,909,692,040,056,359,314,956,826,987,
932,676,030,589,986,997,166,863,866,611,762,790,392,750,112,475,540,758,974,
101,355,869,988,463,975,768,356,196,822,981,384,323,732,891,211,273,842,007,
237,297,845,755,464,760,091,184,856,704,800,965,296,423,263,720,737,642,460,
207,896,848,519,273,119,886,815,415,140,990,357,957,032,658,386,815,477,186,
289,833,061,079,792,612,859,738,172,426,249,581,474,841,670,404,974,642,775,
539,572,037,580,806,321,236,165,586,374,195,108,770,867,906,270,109,348,303,
152,819,973,645,664,614,269,706,154,856,629,898,443,841,710,233,174,186,943,
220,780,926,773,733,259,391,742,287,581,905,453,186,031,869,389,553,663,054,
545,292,945,262,506,048,138,866,156,638,707,235,720,247,430,714,165,569,416,
348,240,898,377,446,445,666,648,814,777,837,233,599,965,736,027,458,622,591,
937,484,300,680,864,356,511,126,719,734,791,812,385,126,756,644,997,581,333,
734,685,668,001,215,683,519,621,079,694,736,639,910,295,403,557,881,772,399,
649,403,835,140,377,831,409,833,027,942,390,819,839,003,895,504,290,285,538,
492,704,069,817,396,948,888,721,063,463,023,436,626,779,247,063,634,350,525,
211,490,063,281,279,509,867,205,591,818,162,647,393,499,191,845,266,091,913,
890,775,901,053,820,411,392,992,575,351,469,765,174,449,825,413,444,625,257,
175,836,854,301,292,315,281,106,633,526,355,867,815,511,945,495,345,697,326,
243,743,872,092,329,986,806,962,395,020,227,943,889,864,140,621,876,151,081,
030,264,859,077,791,368,650,291,755,066,572,937,275,833,415,138,929,322,814,
798,427,812,893,174,623,445,397,157,589,590,348,285,347,787,173,346,357,336,
836,155,335,939,398,524,813,148,475,824,837,577,773,766,277,503,749,269,263,
795,960,844,415,547,902,905,540,313,387,462,651,361,441,108,163,578,333,555,
259,181,632,407,731,755,478,675,608,641,447,220,759,761,358,487,107,450,179,
535,621,584,880,587,027,926,928,836,158,145,806,806,633,038,140,074,161,998,
288,711,350,638,953,984,122,669,235,965,535,246,383,920,260,296,386,213,675,
219,615,105,260,887,897,367,045,503,088,080,206,906,429,056,548,760,630,531,
348,018,940,031,698,975,476,693,210,797,450,152,885,223,749,819,876,311,477,
956,097,698,171,838,394,203,179,066,300,603,527,845,626,835,449,432,599,329,
329,002,805,626,167,526,701,528,890,436,844,534,152,147,471,107,915,893,452,
346,503,693,518,286,197,431,160,981,982,415,783,743,861,113,647,761,458,727,
373,270,598,318,856,139,823,519,407,302,550,058,453,314,216,149,804,599,966,
586,859,795,730,657,414,593,914,111,056,347,045,919,315,392,669,845,523,556,
226,472,923,116,014,533,881,189,558,737,071,518,819,194,477,447,401,720,775,
463,106,703,326,823,242,830,994,192,225,665,050,670,049,485,258,786,857,706,
613,510,872,087,819,417,508,958,244,149,609,704,693,305,627,303,417,093,409,
169,046,871,231,993,542,840,518,980,529,925,368,797,960,566,980,028,001,101,
896,229,643,693,958,411,545,458,631,881,743,774,412,534,498,465,167,116,965,
557,245,178,608,723,758,197,862,597,664,209,942,184,319,911,964,012,676,799,
035,546,064,638,944,171,974,485,455,655,617,056,374,555,724,050,535,820,514,
118,710,867,617,758,035,756,121,105,370,069,817,749,348,312,275,455,499,689,
511,834,427,821,573,663,622,927,372,038,414,337,312,034,034,287,180,744,225,
853,495,368,848,235,682,197,045,590,692,628,313,949,886,432,323,051,677,952,
782,317,711,620,348,026,321,218,019,205,152,008,814,503,815,913,362,349,467,
912,037,474,821,257,226,878,309,773,219,763,080,287,852,383,804,003,265,757,
250,752,092,878,879,895,899,268,639,282,698,883,783,466,881,518,155,783,638,
714,143,914,388,697,778,430,030,214,220,651,987,992,278,455,773,221,758,572,
464,531,432,747,484,315,680,279,561,896,590,791,915,142,167,828,740,194,457,
136,327,630,878,073,021,018,357,911,854,462,916,155,871,078,084,639,190,359,
442,876,447,691,480,332,995,791,324,522,711,095,591,327,948,295,787,224,396,
138,693,635,850,775,803,927,676,467,760,637,261,294,321,929,058,579,484,109,
523,169,664,787,665,475,820,370,379,947,132,016,146,679,731,914,653,204,663,
701,322,908,990,325,200,594,798,366,922,347,264,449,396,071,145,888,230,240,
963,228,535,373,975,380,582,005,579,318,706,921,068,574,777,259,352,717,983,
454,663,020,794,128,072,671,513,142,762,689,404,681,656,169,667,625,372,467,
684,582,501,738,568,377,572,200,466,675,786,779,221,931,979,463,049,320,512,
291,705,116,520,084,124,301,934,858,958,510,811,172,911,599,307,984,834,388,
574,653,682,424,083,132,258,641,075,434,963,318,903,462,192,010,822,492,338,
347,948,136,858,796,888,038,813,082,546,864,284,909,535,567,957,358,467,791,
503,546,451,053,806,809,347,244,671,090,194,954,560,067,428,900,341,618,388,
083,860,570,519,745,647,349,814,065,093,636,652,107,655,931,325,114,026,541,
870,935,349,384,196,592,241,024,728,412,905,963,415,700,423,217,179,655,063,
455,934,274,358,828,098,107,901,900,835,213,531,019,546,002,673,723,950,229,
101,509,215,982,721,256,490,510,977,145,586,640,396,406,003,592,289,019,340,
768,931,416,833,437,494,060,773,920,592,104,324,461,954,318,805,937,967,662,
124,873,390,175,192,758,275,474,526,663,942,332,190,592,912,623,820,806,075,
245,584,158,460,302,544,198,147,510,764,284,093,627,418,501,062,044,778,176,
693,749,451,022,131,740,233,608,303,660,568,393,279,680,407,387,404,153,816,
614,332,214,320,332,478,174,745,474,437,216,085,699,822,710,136,400,670,269,
535,500,333,083,577,654,766,503,488,097,169,630,095,954,471,592,426,838,000,
730,189,830,026,601,999,281,427,420,023,766,092,326,984,790,560,310,009,196,
708,038,235,581,223,986,660,343,087,167,266,882,974,316,988,746,929,733,857,
187,531,548,549,356,185,379,727,295,603,128,375,567,287,879,588,731,616,330,
862,283,496,117,067,359,949,526,898,444,367,742,159,012,142,910,869,892,849,
019,568,717,791,222,808,014,492,391,695,354,823,150,719,672,551,609,311,589,
824,433,431,285,734,102,436,656,870,349,613,853,082,035,908,063,340,811,139,
979,706,392,069,792,610,877,117,953,755,193,139,713,569,650,628,590,142,931,
395,611,744,334,755,947,505,246,473,774,587,687,080,366,787,484,191,324,510,
992,277,985,589,513,116,129,204,628,532,506,767,590,877,330,294,288,091,182,
872,495,370,479,392,557,579,582,097,614,787,825,711,147,434,223,342,773,029,
593,332,267,981,824,225,607,356,262,204,844,893,264,617,077,846,441,679,821,
450,588,276,485,186,548,330,185,337,177,583,519,182,973,718,968,119,585,294,
748,177,410,644,013,888,224,821,527,997,241,711,280,725,239,582,110,601,615,
806,598,702,971,772,275,813,442,777,243,825,214,024,547,695,222,889,969,219,
480,185,049,827,921,831,148,978,080,603,703,538,620,724,318,799,446,977,567,
929,404,898,303,818,872,250,437,948,373,779,988,126,760,114,046,846,611,978,
441,713,666,679,597,267,102,551,070,208,400,774,775,839,392,366,504,517,466,
728,947,209,443,994,518,710,883,473,373,813,517,907,449,606,348,858,665,392,
248,881,824,839,205,536,123,245,241,020,257,002,676,989,181,509,023,411,512,
763,303,246,702,856,312,070,921,715,816,517,772,425,216,622,779,847,200,314,
828,262,477,683,543,636,757,984,823,540,763,648,768,802,831,250,259,513,228,
811,687,118,841,883,015,812,517,057,555,659,261,980,899,100,078,501,518,075,
562,166,672,775,363,384,646,896,052,365,709,579,516,311,292,485,750,854,196,
321,575,811,454,510,132,667,733,548,403,902,728,236,684,509,294,145,464,261,
677,037,978,954,784,820,153,941,796,165,257,284,718,662,265,991,048,227,438,
211,164,577,429,434,073,599,817,288,029,107,413,278,862,710,884,498,469,195,
309,155,539,038,405,576,613,130,988,222,578,230,957,657,301,039,785,041,055,
974,480,481,824,366,245,515,812,867,072,285,597,005,833,426,357,444,437,828,
323,708,428,960,470,040,352,511,207,699,727,138,034,680,862,330,766,485,816,
609,203,874,570,495,674,902,865,439,619,193,759,757,030,228,438,675,027,147,
228,370,104,131,064,086,899,807,490,715,536,549,476,626,167,626,086,953,361,
594,078,212,698,382,337,230,620,181,801,101,996,056,894,502,039,847,565,271,
426,510,086,778,141,607,614,400,662,355,027,529,383,340,922,943,280,268,197,
492,676,244,832,642,110,354,644,989,291,575,180,184,788,560,965,969,620,126,
193,547,591,112,783,611,872,862,958,667,599,035,791,705,122,083,793,055,548,
256,439,610,795,735,598,981,922,409,282,946,102,537,056,854,579,544,302,733,
151,996,052,717,891,382,918,486,023,699,926,968,693,366,965,522,641,434,182,
903,327,063,239,189,276,622,930,155,186,640,558,593,242,372,220,580,787,655,
123,805,852,596,796,895,569,595,272,716,744,841,322,310,416,800,829,611,171,
952,253,417,753,762,577,831,198,915,407,080,729,420,931,588,026,807,927,262,
530,565,837,356,677,570,350,528,771,546,352,199,037,178,357,168,608,468,118,
640,167,574,177,135,876,513,975,831,472,109,776,598,891,305,295,325,047,271,
320,076,675,869,814,190,647,691,455,572,892,981,311,283,029,838,783,131,894,
766,827,046,053,169,020,550,676,622,409,723,554,624,510,781,971,611,575,790,
262,485,976,019,812,873,935,575,282,099,913,289,004,193,279,858,134,612,617,
816,808,330,626,751,273,017,675,519,934,014,933,332,958,094,492,637,625,273,
981,824,232,672,713,320,183,073,643,845,746,793,065,271,360,032,157,377,079,
356,370,110,890,824,379,967,435,001,211,977,698,519,551,402,479,319,613,135,
348,851,081,105,264,648,875,300,684,096,054,182,544,103,866,520,612,736,163,
851,485,692,369,041,207,993,291,976,039,183,716,982,304,390,522,750,207,485,
730,983,794,312,718,225,764,245,453,764,349,688,076,947,520,763,177,589,294,
814,261,251,132,411,080,157,549,905,564,494,009,467,391,309,361,833,458,143,
885,207,016,798,299,984,712,512,434,136,940,324,038,127,750,307,230,752,608,
956,240,088,184,741,196,629,497,510,711,570,335,875,177,832,829,273,129,694,
198,559,034,254,881,412,001,656,541,104,183,198,815,491,788,109,791,785,156,
995,937,832,702,098,039,076,899,947,483,460,790,087,182,436,566,827,511,354,
349,165,587,208,309,806,742,566,517,997,327,111,707,058,388,420,441,963,484,
957,654,363,583,288,263,428,913,724,654,366,173,642,539,463,605,812,572,622,
793,311,235,023,059,281,290,873,717,321,682,381,749,857,167,816,828,790,410,
203,238,979,401,679,695,461,401,318,774,019,684,838,110,318,723,957,894,591,
314,074,374,732,734,965,285,548,862,775,816,274,658,355,813,557,111,417,674,
496,070,777,960,158,283,901,012,078,226,153,445,238,796,905,270,611,805,810,
533,970,349,427,615,460,581,686,126,027,991,360,247,748,200,095,386,771,522,
586,571,065,066,270,570,616,984,460,989,180,546,471,228,854,142,860,075,221,
351,999,112,617,668,025,522,425,342,950,015,408,335,897,491,474,300,627,812,
313,376,416,127,990,715,885,636,953,305,436,674,440,993,533,452,780,658,472,
041,203,587,283,398,950,834,461,424,943,684,031,617,296,887,468,266,280,661,
798,255,873,515,863,408,399,352,357,440,290,385,834,793,235,608,271,082,529,
313,799,105,882,301,321,165,404,785,676,497,988,499,569,604,914,063,918,280,
502,014,208,767,295,401,610,555,919,565,510,948,756,113,043,842,766,262,855,
587,273,628,453,761,549,406,545,531,164,770,940,456,348,431,920,066,937,867,
640,313,494,698,140,880,508,547,628,185,826,118,623,518,159,059,234,281,072,
425,696,326,319,259,265,783,651,132,593,118,087,026,787,400,453,186,847,082,
162,364,590,337,018,829,109,397,458,847,910,608,426,256,716,415,649,163,113,
383,423,457,082,571,522,594,694,346,198,013,829,822,901,394,552,185,889,646,
967,499,863,955,299,294,639,306,479,966,302,845,005,624,636,296,797,552,210,
456,572,150,140,246,506,959,389,728,736,760,127,887,219,172,724,005,736,707,
341,398,183,790,407,472,293,000,211,489,332,037,310,985,033,013,626,334,272,
094,801,314,846,511,789,313,157,224,712,589,319,019,543,996,183,614,157,248,
894,215,305,656,077,759,880,514,797,257,681,693,525,598,805,913,829,599,345,
451,695,844,918,777,004,954,180,799,775,355,829,788,546,130,773,355,668,167,
498,491,624,039,142,687,949,176,562,058,077,007,087,062,781,106,172,761,684,
447,131,510,351,860,900,673,344,701,850,537,715,779,312,589,692,690,635,843,
950,202,410,331,634,897,541,278,492,170,468,059,643,664,316,826,137,483,308,
475,980,057,167,807,310,139,997,265,186,534,663,250,277,023,138,332,031,782,
072,477,967,134,726,167,218,792,147,030,425,256,350,423,168,732,242,127,664,
974,311,014,997,694,511,419,259,754,650,571,845,811,171,437,367,900,474,104,
274,934,055,010,953,772,225,590,259,489,341,380,037,427,654,017,003,357,532,
365,688,455,727,750,370,137,000,158,817,446,092,560,348,645,831,417,266,992,
705,390,261,295,826,125,633,613,037,755,443,585,341,746,071,869,648,387,285,
525,587,571,687,181,429,571,002,903,064,978,054,886,026,685,346,424,032,504,
152,338,996,819,618,212,385,610,447,719,687,559,402,649,504,964,560,693,924,
675,166,276,390,225,484,170,138,696,963,331,368,427,149,061,287,105,594,382,
324,895,351,610,905,200,915,344,923,765,851,802,474,164,061,705,869,837,706,
917,335,348,052,000,617,627,671,533,502,726,726,155,094,314,074,375,112,267,
204,256,063,759,351,476,468,084,582,720,043,667,346,476,585,962,369,300,068,
579,122,649,239,960,062,082,423,945,431,156,077,081,764,917,272,836,309,560,
266,697,342,352,224,928,633,330,012,867,657,438,997,779,627,056,011,052,203,
128,758,980,410,686,014,795,371,267,861,368,391,491,959,934,975,098,354,149,
439,523,867,539,517,777,584,401,836,654,083,544,843,043,973,993,182,614,063,
150,155,605,309,717,190,986,316,342,227,280,880,153,434,484,073,016,515,669,
377,036,206,377,605,832,720,548,329,993,592,039,836,983,438,885,631,790,286,
693,874,603,741,485,447,063,936,657,742,465,461,660,550,258,191,793,119,208,
191,595,783,025,466,597,075,854,279,471,405,400,556,533,998,360,705,104,274,
328,223,203,535,886,182,999,275,497,957,101,069,805,424,653,842,518,017,837,
629,003,577,235,622,450,192,296,876,023,410,315,604,808,511,796,495,148,652,
946,847,181,843,704,959,699,076,902,333,306,303,793,419,031,322,060,574,183,
404,112,759,464,860,778,269,945,242,989,674,157,089,257,681,288,612,297,749,
460,223,070,387,398,099,182,809,824,534,954,334,684,865,297,870,302,180,867,
570,822,990,010,372,914,835,841,703,205,344,649,805,912,246,725,032,312,208,
016,112,827,746,619,567,329,919,787,769,578,889,392,056,222,137,994,458,471,
872,042,815,439,019,581,101,883,621,720,290,172,267,784,444,857,589,571,625,
920,496,244,790,507,918,766,356,030,002,555,236,931,928,726,732,334,308,760,
262,059,698,678,549,449,972,909,663,859,308,887,349,951,664,307,440,070,957,
603,514,858,405,478,836,601,626,754,631,243,851,869,360,065,172,860,516,281,
815,212,242,906,844,066,010,526,873,545,792,255,255,405,719,552,122,565,818,
166,507,779,771,485,758,596,905,903,258,935,899,548,469,870,021,949,956,282,
120,410,085,007,738,347,871,401,950,236,582,724,022,394,727,647,034,529,076,
533,073,002,111,999,848,901,269,217,026,286,540,143,693,505,384,855,958,400,
397,131,541,020,688,622,577,892,587,113,538,407,070,278,210,037,132,368,887,
568,496,237,412,667,552,645,344,982,203,332,919,925,575,980,869,259,599,862,
174,888,992,523,772,414,953,249,015,041,992,644,143,090,202,705,923,377,387,
470,718,763,124,705,510,435,297,938,499,233,790,914,057,288,697,837,850,990,
387,217,338,338,963,500,658,090,571,098,921,647,943,857,958,247,662,011,452,
384,697,113,756,650,722,493,748,050,278,419,734,004,444,719,769,458,115,635,
428,715,711,096,639,218,712,972,920,642,274,227,619,558,350,443,474,331,080,
331,542,042,373,803,764,110,477,698,480,202,393,546,546,419,103,406,305,545,
696,232,262,248,577,223,248,286,354,565,572,675,859,809,839,563,524,192,114,
358,400,943,852,206,940,015,678,643,798,587,389,701,615,026,595,452,522,258,
024,948,046,807,508,408,885,090,520,425,781,516,569,572,228,431,152,296,329,
994,144,245,987,731,220,175,413,345,218,310,541,166,411,598,158,791,079,837,
936,904,819,686,365,510,542,204,662,173,357,895,071,574,122,209,110,393,362,
576,667,633,879,987,859,519,890,215,302,200,851,872,069,542,532,705,399,147,
854,153,313,948,756,776,986,487,953,607,951,327,796,768,701,861,842,735,094,
457,372,297,959,386,888,714,729,379,693,944,295,843,913,667,894,360,902,950,
114,499,681,481,301,407,391,595,069,148,036,271,435,399,174,820,603,212,134,
322,725,860,408,525,359,346,826,149,988,510,336,783,786,372,864,582,070,384,
727,459,829,293,553,118,748,274,486,188,467,503,241,520,835,835,613,142,541,
109,345,826,105,076,709,260,352,235,683,900,523,172,232,010,590,878,867,996,
477,020,156,412,291,238,381,734,356,278,601,808,783,732,571,885,791,626,181,
918,552,331,627,764,722,221,518,122,263,608,320,314,255,003,453,990,715,222,
504,123,337,077,515,374,288,955,932,034,586,653,209,188,907,157,973,049,547,
945,151,887,033,603,031,678,439,499,368,103,340,727,834,802,530,235,296,212,
502,626,800,442,822,766,347,416,137,458,810,762,891,825,795,800,227,899,143,
304,304,561,452,806,927,938,399,168,292,339,031,093,161,537,795,218,094,675,
339,659,979,833,807,637,360,548,004,961,424,733,541,762,134,241,404,982,306,
520,095,788,141,566,829,111,252,578,307,870,583,425,115,421,100,134,016,328,
502,282,757,815,963,230,902,495,217,425,749,216,655,419,340,972,679,789,362,
067,861,885,410,166,938,191,913,428,466,377,489,922,265,562,317,028,272,361,
993,612,813,565,365,269,412,163,951,044,349,283,661,645,217,081,516,428,985,
586,977,190,602,839,214,767,995,143,953,264,770,786,596,286,424,834,971,923,
112,951,595,892,928,102,586,230,321,659,651,757,646,823,569,874,440,402,826,
043,494,194,639,974,736,201,237,275,992,644,870,602,049,945,985,364,198,752,
529,044,906,369,105,320,238,736,838,758,036,341,171,341,407,895,677,340,565,
169,168,756,166,810,580,164,304,147,532,781,505,984,120,861,438,026,106,262,
500,527,735,467,466,264,592,479,538,690,438,384,659,392,933,747,562,179,923,
691,657,982,716,736,770,931,192,647,032,874,993,577,440,789,494,058,675,235,
854,182,380,628,018,199,732,475,951,591,181,817,215,885,759,792,924,172,764,
606,290,141,608,632,549,646,093,205,522,982,946,235,757,605,291,406,876,847,
342,619,343,107,456,967,548,600,799,921,938,263,550,379,138,454,519,379,839,
802,505,204,024,463,512,829,065,337,679,060,934,700,938,602,206,430,824,536,
949,087,105,153,480,340,105,006,210,730,204,231,987,702,066,910,378,862,817,
136,601,130,059,698,298,962,981,026,657,276,988,595,622,433,027,062,932,142,
798,649,451,676,952,064,708,013,933,373,328,864,856,360,412,868,961,050,175,
313,766,678,757,603,866,373,445,788,220,591,962,734,641,442,498,572,226,225,
044,533,109,428,488,063,582,583,439,893,627,237,014,694,698,033,765,729,691,
526,734,489,072,030,797,407,640,422,375,468,143,118,649,405,507,326,396,966,
832,268,974,567,047,746,989,471,172,792,605,336,499,341,892,223,585,502,433,
762,509,596,147,185,486,162,435,451,894,086,612,141,532,080,792,789,688,951,
319,647,740,970,686,972,658,798,543,038,451,470,274,247,230,871,046,344,201,
747,807,177,624,209,867,453,152,557,741,894,622,925,408,179,582,209,651,910,
878,737,715,831,024,733,628,985,156,863,259,737,641,976,022,417,297,075,906,
279,160,536,427,892,108,593,578,339,304,989,496,367,419,683,149,989,328,001,
341,835,755,210,793,410,409,875,444,463,562,095,118,930,985,148,843,100,891,
177,390,611,560,084,216,935,665,043,677,351,138,005,495,261,960,512,784,369,
900,587,147,475,275,024,083,849,101,779,175,707,932,328,730,497,236,077,453,
819,857,665,873,869,759,602,240,740,538,236,275,892,628,278,635,100,920,953,
391,258,986,357,000,766,943,553,609,943,386,741,755,831,529,363,933,502,716,
383,493,535,849,538,349,755,949,870,836,250,457,411,902,259,871,192,774,965,
907,168,235,666,471,746,100,019,059,291,015,215,430,444,051,611,822,981,353,
361,196,112,715,882,703,112,688,299,823,096,522,118,724,715,224,889,296,281,
390,393,213,611,780,337,654,814,547,959,863,519,650,022,448,236,320,587,041,
800,911,213,975,914,570,541,884,543,602,890,554,142,976,481,371,397,351,996,
137,239,763,870,224,225,433,636,576,697,500,356,682,231,134,887,539,047,039,
248,516,242,294,588,331,274,203,107,876,493,537,755,999,653,080,982,018,618,
829,525,620,390,306,975,714,710,806,196,369,605,410,761,970,040,444,618,034,
020,724,682,106,872,772,780,788,246,921,418,726,656,196,604,360,120,829,108,
259,585,352,653,033,010,960,739,656,271,710,310,081,902,160,117,992,873,350,
761,211,625,911,148,154,478,027,859,262,984,723,196,345,489,172,025,056,727,
381,502,292,244,866,327,796,702,902,197,212,388,945,368,812,443,370,221,545,
486,219,137,259,807,482,639,840,087,665,749,765,032,156,862,383,945,010,528,
618,749,687,620,933,573,772,814,828,536,487,454,980,082,186,141,297,301,768,
366,090,446,135,208,608,067,527,328,249,459,153,244,430,908,122,587,407,463,
385,641,002,425,277,072,674,235,821,525,168,570,512,156,821,592,538,001,499,
223,081,067,179,677,217,528,946,641,608,036,095,649,672,052,463,205,120,884,
005,748,595,157,833,050,687,485,381,158,686,810,089,807,824,669,400,497,999,
219,714,040,817,982,089,008,527,536,050,030,748,117,174,937,292,939,119,263,
830,657,762,215,244,744,028,046,949,623,749,147,503,436,151,763,305,535,936,
060,795,349,036,674,401,311,655,759,145,863,502,289,613,227,364,756,558,000,
387,418,065,264,765,888,143,945,465,793,632,437,306,236,878,905,898,752,368,
520,877,096,224,087,804,266,024,192,195,071,920,747,591,912,277,829,412,715,
719,788,240,439,002,090,571,344,519,554,511,000,766,818,800,594,251,337,884,
594,294,592,519,158,595,526,110,589,892,793,190,082,103,449,204,610,881,373,
984,970,310,350,224,500,028,411,231,580,263,523,482,779,735,303,620,532,794,
080,546,993,944,953,354,909,957,750,634,190,322,038,279,959,406,406,454,839,
518,004,170,039,286,650,962,662,204,249,467,068,931,271,675,451,405,124,280,
007,221,147,315,125,217,836,026,086,332,678,278,862,947,607,294,189,798,903,
953,657,687,578,017,881,127,889,880,844,837,929,955,160,923,939,475,373,447,
492,240,170,097,759,973,928,528,668,046,734,249,221,883,977,828,568,567,867,
801,349,623,450,809,735,650,333,082,862,042,874,702,232,963,063,783,909,532,
147,041,778,465,713,537,179,367,776,655,753,309,122,977,450,855,501,230,241,
286,677,341,695,174,075,931,057,224,904,439,118,433,505,175,466,094,152,305,
911,476,878,669,217,765,609,272,993,237,834,882,606,620,706,967,053,517,633,
189,633,327,481,077,549,009,415,568,032,629,662,700,751,699,090,128,086,423,
951,621,148,510,570,137,802,018,168,180,262,899,264,960,015,921,480,585,105,
483,024,382,966,599,073,824,024,864,438,497,708,048,706,499,485,663,872,638,
691,914,539,012,819,120,088,131,757,261,469,938,006,590,130,772,092,022,979,
507,385,021,766,147,643,331,640,744,579,583,422,722,224,027,765,282,401,449,
396,776,293,244,169,470,879,534,073,511,838,888,242,289,622,534,240,624,214,
056,370,027,905,943,248,984,831,565,160,504,118,825,247,491,469,413,360,905,
462,080,296,871,668,065,128,772,712,376,320,058,321,894,852,223,689,326,906,
603,428,934,735,284,237,340,511,949,185,769,123,937,800,216,218,463,932,536,
761,566,169,114,302,602,470,390,051,088,333,483,696,586,469,329,343,931,203,
502,055,642,256,854,407,642,104,157,587,116,594,392,251,819,372,697,567,552,
797,668,321,354,791,067,720,709,690,119,725,223,389,411,850,098,345,592,595,
239,441,794,438,104,732,613,321,743,714,592,184,945,282,709,479,196,543,130,
664,259,107,352,758,876,112,082,944,817,964,805,833,080,420,824,541,723,708,
576,565,185,001,580,143,791,527,300,196,474,207,621,635,422,260,598,721,776,
962,611,994,623,517,081,266,431,604,961,993,649,457,550,399,070,406,901,978,
713,609,509,337,844,436,722,296,176,097,266,757,833,723,640,940,308,381,577,
994,503,400,306,166,942,533,505,196,553,466,142,021,393,596,837,207,220,169,
032,430,433,217,354,141,040,914,101,854,625,937,063,545,420,859,914,354,466,
470,745,756,172,102,652,959,374,789,035,470,893,878,076,312,920,961,146,895,
553,967,971,573,372,765,817,627,181,858,499,443,739,847,768,244,925,981,714,
680,534,023,691,934,864,137,961,740,859,243,373,237,635,899,991,457,865,005,
897,005,296,099,952,114,769,973,415,281,222,070,407,391,765,247,276,612,068,
982,214,924,846,640,804,309,992,502,197,735,990,631,475,193,025,958,147,372,
525,644,843,866,902,998,588,514,868,262,779,710,717,988,447,830,831,075,994,
592,935,955,480,711,975,646,226,750,393,487,639,523,347,142,668,445,309,311,
261,831,466,248,809,141,863,663,054,788,580,531,396,722,615,869,763,104,771,
432,100,317,830,879,462,345,215,767,167,711,755,802,388,780,023,300,063,680,
933,817,177,269,838,667,486,295,272,040,412,561,490,750,601,871,193,767,554,
892,954,386,201,313,182,374,667,971,063,122,278,686,020,978,032,376,653,940,
865,285,607,251,409,615,327,451,022,183,477,785,363,693,977,688,955,153,770,
378,733,398,895,643,244,904,097,645,826,777,528,117,699,823,506,184,983,547,
499,183,363,594,425,191,536,155,617,978,253,009,385,885,622,667,192,237,397,
746,239,281,312,255,642,950,969,181,477,563,131,866,711,787,557,973,301,995,
844,533,813,616,712,782,770,329,659,673,827,205,825,741,484,589,679,060,527,
683,586,011,516,294,903,730,401,439,310,155,922,895,368,346,257,164,762,886,
635,801,426,640,304,265,020,282,175,867,359,557,339,877,969,288,972,599,696,
210,879,823,700,226,000,582,220,813,080,098,229,333,581,296,620,802,821,316,
558,617,323,012,779,356,897,192,304,620,474,400,218,168,319,721,677,234,511,
236,915,023,838,352,538,802,505,228,481,975,052,108,733,850,921,173,555,465,
311,458,224,665,852,435,962,682,299,963,803,937,182,177,036,699,809,680,460,
403,894,933,347,991,808,792,100,818,089,030,223,654,840,270,748,627,338,030,
683,293,091,419,576,432,990,445,425,526,919,524,257,434,388,487,322,018,177,
254,442,895,410,220,365,589,622,274,942,091,666,199,605,903,477,834,310,373,
332,901,042,553,873,297,251,435,274,239,420,851,028,714,659,364,224,696,343,
513,408,386,073,859,044,768,754,844,298,404,408,727,737,109,935,521,376,752,
348,314,690,467,660,067,689,001,460,656,061,393,160,068,965,646,853,548,147,
366,083,541,983,638,786,064,569,747,504,181,643,966,506,574,022,168,165,360,
503,773,967,803,924,192,085,123,333,715,125,359,957,127,735,473,619,091,917,
413,561,140,998,256,872,619,421,490,624,268,355,567,620,740,746,453,299,743,
488,635,930,262,350,022,350,724,656,193,494,771,485,403,997,724,319,384,466,
666,640,277,642,342,044,863,050,995,814,840,113,223,346,211,474,199,394,906,
962,442,142,272,126,552,505,809,054,479,237,750,675,360,962,882,175,576,624,
436,474,507,966,302,444,539,219,007,563,733,295,098,792,954,168,142,603,732,
422,095,062,458,649,227,833,093,146,709,008,810,826,426,654,261,097,803,457,
321,889,427,823,352,592,242,247,710,805,125,455,959,703,094,578,572,321,845,
532,863,801,019,541,046,985,560,240,626,551,690,964,068,906,864,020,269,156,
693,102,063,954,990,516,084,479,163,310,077,170,783,755,368,105,217,932,537,
301,762,678,924,569,083,680,366,940,320,731,111,203,334,057,696,615,463,835,
739,359,356,070,536,828,959,447,706,825,933,279,928,884,531,487,394,204,956,
550,378,008,993,827,309,316,734,433,590,358,309,885,204,246,729,529,566,285,
789,332,305,829,335,458,618,204,441,741,164,208,971,689,205,421,253,579,087,
920,060,648,244,155,998,224,106,564,403,721,018,606,496,781,528,968,145,921,
498,627,603,262,769,263,618,786,192,175,076,012,552,782,320,923,916,163,204,
441,545,195,055,281,977,594,401,916,846,557,609,868,916,225,276,013,322,834,
866,330,482,636,178,644,225,374,070,153,103,933,424,170,116,789,957,936,907,
806,304,867,750,073,979,206,439,515,010,299,416,617,724,858,444,622,570,772,
146,881,528,228,767,970,931,328,835,282,012,658,741,653,848,507,747,000,193,
965,097,598,250,329,465,100,959,083,746,043,169,813,360,676,975,748,941,455,
879,275,688,708,221,388,391,996,204,461,278,358,950,218,560,907,594,685,373,
548,478,957,671,365,406,783,462,178,488,575,614,814,111,370,503,602,549,147,
641,672,857,247,575,618,427,195,536,602,573,953,196,036,360,135,315,781,147,
017,421,560,714,514,194,928,662,506,138,779,658,476,569,379,680,393,096,251,
888,327,565,066,711,910,391,829,621,856,417,185,474,073,288,107,003,571,433,
833,489,774,723,515,961,948,125,844,569,273,140,206,095,779,116,281,650,435,
778,192,587,599,475,904,966,617,385,519,446,678,082,961,690,972,639,685,288,
904,228,431,682,026,111,162,114,606,113,054,354,583,745,144,893,899,228,342,
641,241,378,131,235,261,965,870,229,114,242,431,533,498,097,986,891,152,821,
837,547,745,168,241,296,946,670,212,975,747,532,261,981,342,625,948,500,424,
994,664,051,622,152,330,128,040,444,986,337,752,950,863,565,876,469,375,606,
397,779,053,422,803,981,701,167,738,323,019,750,777,420,157,239,254,657,455,
638,014,836,110,663,594,207,178,310,349,986,327,044,277,828,116,059,773,383,
686,181,570,702,796,034,674,629,411,407,876,551,457,596,113,138,229,187,319,
392,719,995,850,184,700,973,131,616,544,865,727,265,849,681,562,490,307,477,
353,484,738,109,914,788,909,318,996,588,330,358,942,075,457,019,715,108,491,
278,891,134,891,834,361,759,232,987,918,601,976,406,743,378,748,044,628,438,
999,443,506,893,114,907,544,185,598,957,027,866,172,382,516,735,673,753,116,
854,715,316,890,877,659,214,199,905,391,312,010,807,858,400,430,031,206,688,
829,528,881,413,356,214,272,676,341,410,275,639,125,726,317,766,992,081,980,
039,859,433,973,518,850,470,077,987,897,983,676,385,816,332,409,647,614,458,
095,209,383,737,896,243,291,685,215,017,035,513,591,665,760,849,615,411,667,
023,793,596,567,107,345,610,207,437,295,058,566,759,628,356,177,345,562,415,
855,486,095,359,912,741,420,874,877,710,412,002,189,790,575,813,349,314,315,
804,406,714,464,612,766,221,376,682,933,039,370,139,654,142,666,717,207,721,
422,569,377,647,622,483,648,431,603,531,527,955,281,360,175,750,163,826,931,
623,280,360,443,390,640,209,039,987,397,952,054,751,967,063,714,355,170,488,
385,778,206,182,358,131,566,750,838,811,381,467,620,538,151,256,401,321,410,
331,572,295,983,847,614,108,709,476,107,795,662,948,546,857,589,479,359,519,
365,269,422,767,079,218,631,845,968,487,846,230,821,140,300,383,492,252,336,
041,471,599,934,223,234,791,143,384,613,363,347,736,812,341,108,458,381,493,
360,430,137,396,441,639,316,570,692,717,351,174,779,135,726,417,348,827,571,
935,158,984,077,800,673,464,649,654,722,015,029,003,296,652,356,572,879,881,
670,349,576,000,262,606,868,629,112,836,378,211,797,121,054,677,275,656,003,
562,079,400,946,530,475,266,839,562,078,619,778,295,733,295,881,243,064,974,
456,467,824,399,809,639,278,842,861,916,065,692,326,334,053,879,735,214,270,
976,056,284,098,084,950,772,915,761,772,829,807,570,312,438,467,465,840,106,
084,438,432,155,453,323,727,907,370,552,254,618,680,950,650,131,127,189,937,
148,924,823,931,602,250,458,745,458,964,758,621,720,426,666,068,987,247,242,
292,872,306,796,388,048,535,306,297,081,566,306,742,970,632,330,300,046,892,
124,785,016,222,419,226,497,926,299,854,597,621,456,090,970,094,588,958,298,
373,408,796,142,961,492,754,841,987,156,451,930,181,550,495,559,026,351,385,
591,809,232,688,551,712,939,126,599,121,170,300,639,788,477,390,727,586,747,
989,293,415,278,785,361,513,487,434,541,480,618,946,382,493,441,281,929,074,
326,533,935,871,312,621,495,127,969,902,695,778,302,609,358,819,974,850,092,
385,538,911,389,177,042,527,842,165,471,507,217,960,156,488,956,203,142,861,
694,897,610,408,256,145,796,354,563,724,319,954,069,848,339,926,583,261,666,
129,812,299,384,932,472,913,140,965,654,530,441,516,377,064,099,133,538,460,
707,264,165,140,613,964,750,329,000,456,871,948,971,819,092,664,738,825,690,
869,602,573,513,253,360,624,790,240,955,423,648,780,781,228,404,694,623,124,
648,319,800,819,312,745,085,514,825,087,820,602,326,817,413,642,125,507,172,
481,472,666,997,947,372,295,896,118,956,200,743,290,353,826,601,263,132,599,
759,122,881,368,785,231,722,496,672,175,606,845,700,392,421,157,802,429,468,
649,824,267,962,818,671,987,155,258,230,452,467,858,973,086,648,869,258,677,
337,004,678,967,251,549,680,087,080,948,587,665,566,304,256,697,847,992,593,
874,972,672,131,857,477,325,305,836,863,478,737,333,870,970,732,638,148,494,
139,904,113,291,751,519,226,378,231,137,103,633,267,178,066,591,843,043,656,
633,686,574,549,613,145,232,273,703,973,734,323,684,951,951,693,046,519,215,
033,330,865,983,522,047,110,408,173,834,408,027,125,776,328,014,069,411,105,
855,088,377,769,076,007,142,824,096,392,321,796,275,546,700,857,096,772,306,
867,379,676,349,828,180,945,570,330,082,008,202,087,883,101,800,302,229,684,
792,204,021,363,453,560,140,519,974,238,785,068,786,386,526,336,145,065,757,
487,376,683,123,232,715,842,581,299,942,568,268,517,418,594,704,140,723,753,
295,436,710,061,359,988,026,038,270,381,110,847,294,867,335,203,011,063,805,
647,895,785,259,835,308,470,799,473,748,899,528,942,188,787,864,791,560,919,
839,206,008,855,369,420,567,053,773,946,953,972,013,035,001,284,543,536,548,
147,741,089,713,056,365,912,715,318,666,610,286,775,056,007,106,348,712,185,
831,968,181,757,656,708,306,210,139,503,782,896,874,986,838,033,659,583,248,
191,142,002,797,011,936,608,018,660,182,533,821,438,058,637,242,283,582,500,
067,367,908,790,235,411,644,931,290,293,707,897,581,881,220,423,636,172,236,
869,602,720,926,812,165,813,312,266,689,231,165,368,859,395,179,148,924,122,
363,240,286,403,370,663,424,071,667,255,722,606,746,933,021,009,186,954,451,
905,785,283,584,200,347,808,231,912,415,066,006,375,653,483,213,440,165,515,
969,759,650,228,449,487,584,743,002,873,653,119,330,382,145,072,720,591,369,
955,444,013,435,905,345,758,194,365,008,613,323,709,124,169,295,373,910,424,
161,312,126,185,484,863,508,049,142,752,296,957,612,826,047,787,948,129,808,
204,467,131,658,497,894,744,069,970,086,565,420,706,206,527,554,199,151,727,
971,356,107,566,003,476,488,537,149,748,372,180,349,214,598,891,639,465,722,
423,508,985,063,152,188,230,352,877,871,253,575,489,518,174,134,183,013,064,
046,317,386,332,644,523,303,294,794,285,513,008,855,159,043,321,623,625,787,
300,061,991,671,983,985,826,947,713,629,240,460,474,086,283,654,081,369,198,
742,774,055,136,899,757,517,195,205,727,653,380,377,035,948,843,804,285,824,
066,297,545,341,763,428,332,788,941,819,742,444,045,105,883,967,950,094,026,
787,922,637,502,089,820,582,863,666,563,755,734,123,307,645,856,100,521,639,
369,921,729,960,412,998,230,477,550,371,205,147,477,995,575,215,348,575,155,
579,922,898,719,018,569,120,262,394,563,755,155,748,730,576,719,269,952,419,
515,565,826,570,324,532,142,519,354,021,176,112,363,419,702,028,211,840,058,
678,502,324,827,809,881,187,632,767,224,892,297,309,232,962,598,890,668,192,
947,031,186,291,588,891,107,222,259,391,382,962,459,855,688,874,819,730,846,
985,646,300,070,098,318,371,679,330,686,570,895,817,076,770,019,772,956,878,
753,652,285,782,450,839,870,764,688,162,905,240,051,475,326,069,021,783,898,
765,485,504,846,637,233,238,757,998,359,168,450,424,319,902,292,911,853,396,
187,049,341,133,857,687,339,328,955,452,587,357,496,376,639,880,924,616,533,
798,740,807,685,063,980,250,518,776,872,915,693,945,112,269,000,560,123,240,
848,103,995,773,356,290,709,250,098,797,726,255,332,280,728,481,097,990,642,
416,441,603,159,274,566,268,950,095,013,566,645,278,315,256,868,173,127,015,
861,038,653,462,693,910,534,411,243,075,545,047,811,887,656,416,558,641,939,
988,922,099,384,397,808,600,092,790,857,554,120,021,497,431,197,924,780,791,
293,414,607,000,358,054,658,173,540,793,101,052,885,943,865,759,948,861,007,
901,650,287,458,831,871,373,177,521,283,156,835,562,841,765,725,675,906,992,
717,183,369,037,383,757,073,040,672,003,058,215,984,202,061,087,311,053,492,
531,914,551,025,054,219,955,077,433,267,414,422,767,071,955,546,952,778,816,
241,868,906,930,572,082,100,829,668,180,155,565,973,432,726,209,367,226,757,
451,593,308,009,044,147,079,436,720,477,907,192,239,010,841,894,892,767,519,
861,269,835,232,097,045,994,593,004,633,409,707,813,430,005,190,720,386,887,
547,849,218,876,708,821,083,501,984,271,289,262,978,169,824,956,423,645,372,
374,912,299,417,940,773,612,074,171,450,887,581,179,850,414,689,329,261,914,
492,684,497,035,924,346,057,100,050,908,924,425,354,455,586,638,068,994,448,
470,088,404,864,261,779,867,433,439,404,795,498,370,179,724,736,769,812,968,
859,385,437,486,256,426,727,549,391,339,756,948,485,258,561,229,019,664,626,
901,541,920,701,535,879,173,607,818,726,187,858,214,411,556,570,150,948,088,
662,880,705,244,765,811,292,526,107,870,140,364,572,052,291,466,812,258,821,
360,139,384,893,828,002,064,909,686,397,057,139,360,095,844,002,293,582,251,
045,797,702,792,260,617,966,297,329,734,140,369,590,915,698,161,400,912,050,
447,371,630,281,313,319,368,869,818,609,417,095,073,394,078,486,762,453,439,
908,314,670,063,101,803,015,527,197,344,596,759,956,026,154,541,562,025,684,
223,875,114,915,855,017,274,776,902,907,133,698,757,199,684,747,884,260,922,
408,805,855,286,715,456,230,351,266,422,495,094,376,711,933,134,694,323,357,
990,408,556,244,666,339,567,721,538,683,927,109,391,642,297,874,222,163,691,
620,151,215,705,966,480,284,970,626,406,274,015,429,957,425,726,300,910,332,
355,122,363,036,686,955,544,101,781,929,733,231,811,638,880,068,008,767,374,
525,906,870,754,909,983,971,195,755,912,334,648,985,379,330,056,596,824,859,
612,250,586,793,229,627,875,356,992,379,541,824,260,683,448,551,892,941,092,
848,757,285,452,694,376,731,635,473,243,992,938,903,408,484,183,359,546,607,
015,327,721,199,074,253,064,358,073,273,660,418,516,064,656,049,453,060,674,
914,230,314,725,329,404,454,043,664,471,370,950,547,691,091,176,709,548,008,
649,609,510,534,222,694,026,592,423,286,522,978,952,791,880,355,112,059,206,
901,210,270,145,669,076,622,784,277,117,606,729,083,612,499,162,262,599,971,
110,071,556,120,512,525,048,121,232,352,710,743,168,542,222,736,205,208,729,
179,725,152,321,647,497,042,573,427,102,057,903,889,679,925,419,081,404,161,
846,515,075,520,106,929,348,418,511,182,168,346,456,735,617,420,203,108,340,
899,368,686,071,392,028,502,952,100,451,005,772,698,929,065,866,562,105,059,
445,650,331,802,496,618,781,296,737,047,659,777,993,262,136,384,308,603,805,
806,192,850,381,134,612,634,044,899,531,214,204,939,487,056,491,493,584,668,
228,934,364,462,718,129,633,744,578,213,291,619,312,485,833,705,102,251,143,
409,724,265,887,637,224,627,146,309,398,602,857,543,391,834,778,034,410,117,
254,946,257,776,678,003,066,578,569,391,154,738,481,958,122,327,692,235,508,
224,410,707,266,042,031,536,696,331,272,949,514,283,856,113,004,872,403,508,
471,609,158,549,172,691,218,415,125,407,285,068,199,113,251,623,888,640,875,
979,665,698,079,918,950,489,640,837,527,415,713,122,699,397,578,956,675,479,
810,968,491,448,270,252,268,281,475,424,846,090,489,360,961,259,408,113,695,
443,115,142,337,008,636,282,340,922,867,785,225,551,475,426,289,585,781,016,
140,456,339,440,308,761,358,649,625,827,337,995,067,651,056,062,276,223,198,
121,001,844,150,072,232,598,351,266,383,269,266,495,000,389,903,414,186,143,
262,086,649,283,496,787,917,788,707,178,342,639,846,321,842,985,890,430,240,
834,039,964,907,670,274,360,385,540,543,255,437,571,013,259,004,520,224,690,
544,165,620,941,189,524,435,260,757,777,369,918,207,753,990,294,009,653,853,
027,475,437,215,388,933,209,048,895,252,375,004,020,446,354,665,538,453,302,
166,941,281,934,168,522,156,848,497,810,305,095,749,995,954,305,417,905,426,
170,249,721,270,120,077,763,324,612,556,923,875,222,464,843,138,673,969,932,
558,508,272,604,650,251,289,505,584,027,775,565,819,359,363,960,152,377,730,
929,848,642,304,470,601,379,260,271,662,372,352,370,253,435,898,703,217,889,
657,822,727,472,134,439,800,321,655,163,293,781,256,441,836,887,892,642,864,
259,927,100,392,438,905,749,832,830,354,782,916,275,843,839,777,683,799,878,
218,460,791,401,869,902,858,573,438,591,114,603,126,928,200,014,490,911,034,
119,085,997,227,959,834,632,042,509,589,216,271,067,811,830,130,670,408,507,
288,903,739,803,153,939,066,627,846,021,585,876,662,673,746,523,875,023,441,
576,942,751,760,533,546,449,490,642,901,147,095,575,502,780,227,700,486,245,
470,488,150,360,867,298,950,263,523,654,558,969,538,367,731,079,701,835,078,
985,640,018,035,909,212,748,374,199,184,680,177,649,827,735,490,743,875,350,
433,889,484,233,389,746,854,855,388,629,250,204,367,124,340,476,340,334,200,
459,227,198,252,986,328,704,830,125,701,229,398,888,114,551,286,827,966,789,
490,633,413,765,107,739,391,080,116,640,589,194,907,201,653,777,038,002,366,
188,005,525,841,384,046,861,146,559,356,945,519,112,939,292,433,851,122,224,
529,407,865,979,369,644,342,470,341,960,105,907,496,998,030,052,540,668,220,
987,541,160,256,311,014,473,646,172,228,625,313,772,857,827,561,101,556,641,
131,690,091,009,246,169,930,099,140,161,725,307,582,014,092,063,918,420,466,
752,825,330,937,540,424,075,677,339,078,938,511,118,746,837,758,081,834,163,
393,607,237,927,014,567,812,287,012,880,959,203,960,252,214,007,107,408,788,
579,997,175,675,068,571,083,181,000,528,285,534,597,688,911,276,974,825,156,
091,157,137,557,372,709,244,180,715,457,943,721,935,024,880,592,100,142,788,
310,267,266,487,149,001,893,049,658,549,940,258,867,250,931,504,372,947,165,
046,733,609,318,305,560,558,628,342,384,651,316,254,602,525,721,382,159,784,
360,729,359,453,002,194,574,729,655,543,998,211,176,229,443,633,817,495,727,
994,594,176,393,329,364,386,833,474,358,295,401,299,317,868,297,940,482,065,
378,602,062,270,011,840,200,790,169,566,405,906,877,763,234,886,803,042,733,
618,371,477,905,751,906,642,526,190,164,826,773,100,907,978,700,319,801,687,
944,828,528,179,947,770,912,938,698,620,486,668,280,810,184,690,177,742,562,
159,578,807,684,952,359,755,517,638,450,084,525,701,618,865,787,223,800,341,
075,143,380,408,634,806,203,641,526,427,596,133,495,143,616,783,667,434,286,
489,364,091,048,492,826,913,773,741,227,286,926,108,743,585,079,164,024,027,
418,974,285,732,165,727,029,248,971,000,672,958,637,664,071,051,311,778,193,
403,126,107,584,226,032,164,261,406,495,163,140,567,795,777,455,486,397,563,
359,120,056,305,048,656,114,470,561,762,549,457,219,160,424,391,883,137,729,
923,145,528,230,280,136,214,383,660,569,799,151,906,448,329,862,267,073,821,
364,829,153,708,790,718,029,461,724,346,504,882,068,578,737,481,064,100,401,
319,015,343,681,465,841,083,895,901,670,635,028,744,481,362,715,422,032,213,
782,102,380,423,006,242,200,867,270,980,906,072,161,929,015,360,014,852,849,
511,423,976,185,664,344,587,430,373,001,529,772,811,538,048,420,296,552,843,
199,817,667,327,699,590,344,248,864,265,680,834,279,029,596,452,405,211,311,
472,882,928,163,824,543,178,524,963,207,857,179,550,833,257,940,904,352,801,
607,263,123,917,370,358,535,104,647,731,125,439,488,339,432,642,984,329,187,
876,038,247,420,020,692,145,552,321,106,091,147,136,196,762,023,042,582,834,
653,172,411,158,808,774,794,150,457,442,017,931,284,181,778,019,764,215,598,
068,066,037,405,894,364,137,199,735,244,742,658,535,577,704,627,875,180,853,
668,281,225,355,324,801,383,142,644,782,985,056,702,415,842,024,487,079,214,
179,366,460,191,971,887,288,119,408,002,271,835,294,351,529,754,177,051,063,
846,980,705,545,299,522,271,413,068,145,527,009,432,553,317,714,614,812,760,
901,078,741,986,250,977,896,507,195,248,145,052,900,991,067,416,947,873,279,
309,728,337,094,658,000,045,216,905,889,396,600,337,624,673,438,292,771,205,
551,358,260,023,187,794,575,870,304,292,082,797,849,907,007,974,189,945,339,
917,986,304,652,402,301,522,869,910,993,771,368,809,613,446,777,289,060,977,
132,941,039,988,006,820,678,116,597,560,728,239,617,027,220,992,796,266,565,
720,082,163,353,183,326,077,737,500,105,065,108,530,914,510,032,927,019,627,
016,677,960,902,908,488,578,271,119,446,126,595,199,317,601,430,164,470,058,
741,344,266,477,656,281,720,406,016,995,366,000,942,945,020,616,591,803,688,
580,356,144,703,553,903,029,866,198,670,878,365,215,441,494,229,419,006,057,
554,462,309,304,592,506,579,200,449,766,880,307,098,493,425,838,273,045,967,
115,327,425,579,426,170,048,426,142,089,935,804,383,146,557,558,698,773,827,
306,991,996,588,953,963,437,507,897,629,052,882,274,004,715,677,046,118,086,
897,182,810,489,955,284,096,408,420,883,220,924,307,035,994,927,451,282,691,
271,311,657,543,987,563,643,749,642,048,880,693,818,183,129,287,957,752,944,
971,819,569,763,553,921,693,914,010,036,920,811,874,876,059,822,477,432,980,
299,957,274,275,746,397,612,536,857,399,705,453,387,772,290,568,044,680,759,
688,399,087,037,455,708,747,961,190,160,914,665,804,317,740,218,251,408,886,
681,707,835,925,940,061,778,440,126,778,448,451,638,389,204,663,160,220,368,
068,719,626,300,885,015,830,739,282,502,038,757,132,837,227,489,815,817,525,
846,487,007,845,267,132,674,399,756,747,666,120,255,490,019,738,651,416,351,
197,443,003,850,826,732,209,746,181,782,364,011,524,616,431,633,109,170,338,
792,272,794,167,533,367,306,203,483,431,730,393,952,756,320,747,650,736,766,
127,437,658,467,593,983,616,767,084,795,408,271,385,156,680,222,175,733,560,
408,475,032,328,975,394,144,221,225,883,002,673,799,428,603,509,864,799,756,
418,182,183,727,192,956,243,445,156,586,390,953,033,890,265,279,686,469,066,
050,391,321,559,629,258,532,574,082,262,122,405,442,603,426,612,549,144,603,
999,108,609,245,531,619,302,140,013,038,207,775,493,930,997,836,507,812,920,
984,227,386,830,535,614,484,560,464,210,259,000,139,271,724,256,242,764,143,
041,389,331,164,643,281,828,695,515,212,388,820,704,989,418,542,309,874,342,
877,799,577,474,144,059,367,242,442,954,330,038,773,652,105,550,403,837,700,
323,716,024,911,917,854,866,924,537,699,033,095,777,800,376,285,388,382,068,
150,289,877,583,085,261,327,358,121,256,627,891,079,548,642,648,272,330,175,
313,660,395,950,195,341,605,164,945,864,561,445,983,732,674,929,574,343,007,
611,390,977,435,897,719,300,107,348,841,153,918,551,126,425,496,134,451,620,
750,027,124,942,153,491,888,724,135,262,887,865,593,763,500,706,011,041,180,
936,234,861,182,372,642,277,044,218,846,675,915,356,010,939,617,896,444,269,
806,407,510,673,769,265,628,658,759,351,208,872,264,942,274,870,188,041,990,
254,821,213,481,607,979,034,358,474,659,226,360,224,581,173,813,547,280,793,
816,404,270,328,880,875,045,738,322,886,074,729,530,397,853,778,812,110,297,
841,940,236,445,696,543,634,104,630,092,115,189,879,728,036,962,316,964,260,
299,699,097,699,208,290,582,824,241,276,789,123,181,347,022,434,230,762,741,
600,304,354,492,106,316,067,640,912,640,467,484,991,806,408,892,879,045,527,
782,914,950,899,286,358,507,176,108,476,112,982,691,361,337,678,901,828,323,
372,747,742,927,902,997,500,137,468,168,632,699,948,212,011,269,682,408,702,
818,474,933,215,077,832,452,685,171,431,162,640,351,699,321,912,527,865,217,
797,830,128,022,441,209,006,872,472,333,261,549,807,692,513,810,482,705,669,
184,733,904,599,577,798,784,083,342,897,786,613,912,779,598,642,907,926,678,
268,174,286,402,770,984,359,998,012,985,341,364,222,373,470,539,181,657,018,
084,230,359,147,154,032,413,095,416,109,476,079,913,765,152,478,495,292,565,
854,019,682,509,039,762,587,842,016,156,676,550,549,281,076,334,509,460,860,
903,979,166,021,946,982,107,860,002,873,798,441,973,799,328,133,053,799,414,
172,003,572,938,496,663,904,617,688,623,179,272,173,568,857,202,324,310,967,
416,048,481,642,423,262,015,598,168,224,798,826,037,256,257,446,634,702,797,
489,912,192,220,700,472,589,880,431,572,075,809,730,585,172,103,098,873,279,
955,570,692,003,791,518,177,362,515,257,010,868,294,253,649,883,865,974,674,
146,386,672,846,020,479,572,931,821,606,776,115,529,464,174,267,120,226,598,
540,564,413,108,583,353,900,945,263,983,661,256,210,531,182,153,431,408,417,
724,144,640,746,062,070,478,842,536,754,501,877,357,039,836,374,312,896,800,
611,278,518,413,651,833,489,655,795,521,817,636,798,281,023,584,077,270,715,
323,509,855,477,488,848,352,545,313,733,006,131,093,710,437,814,379,452,058,
855,534,673,754,577,757,607,201,160,961,145,405,712,276,190,142,869,520,861,
773,365,535,556,357,527,835,890,985,779,025,866,816,617,979,239,972,639,460,
569,606,583,398,140,127,373,754,308,388,664,209,309,896,896,411,048,280,999,
577,003,687,732,725,793,186,130,645,981,880,892,998,889,026,685,485,587,019,
355,525,494,825,061,489,329,140,900,328,029,501,371,907,329,027,258,483,805,
542,349,826,401,684,335,076,317,826,202,503,426,434,299,691,110,488,002,847,
847,599,256,559,581,771,531,482,616,628,127,812,120,852,522,151,992,222,113,
129,919,779,173,229,962,419,621,672,515,228,625,046,596,238,120,604,276,730,
918,799,054,091,864,651,802,118,931,721,578,931,146,347,130,048,916,221,756,
976,332,544,209,252,140,998,057,153,453,020,744,954,579,419,280,290,779,042,
487,967,831,586,700,045,580,383,938,948,155,169,758,855,994,641,438,772,866,
907,945,639,020,102,318,470,001,819,900,066,265,809,757,075,468,823,602,766,
954,753,821,220,401,906,791,712,096,534,673,399,740,684,581,116,448,201,389,
599,344,404,734,763,198,826,546,967,342,184,645,436,132,281,362,999,853,129,
843,231,347,528,676,754,043,716,600,768,420,571,027,054,455,669,794,902,283,
783,041,461,192,396,942,454,956,381,687,136,769,760,616,263,896,940,734,310,
468,823,505,207,316,941,521,500,071,728,960,906,672,748,462,495,480,865,040,
056,665,788,591,537,476,363,884,633,294,127,612,711,314,408,968,700,714,407,
989,732,581,551,485,439,948,438,967,159,944,868,945,406,915,863,028,345,765,
301,410,607,784,663,172,202,186,631,959,678,969,456,807,818,218,010,760,372,
888,810,175,067,247,711,437,068,728,297,833,909,845,713,524,279,238,481,164,
573,610,469,594,703,301,297,477,753,404,718,519,408,574,801,357,545,939,636,
616,542,123,345,335,687,643,277,957,333,112,533,108,230,361,736,884,692,735,
563,339,631,156,818,522,972,697,389,930,022,308,491,468,649,471,516,963,371,
953,422,252,056,408,863,560,664,878,159,235,051,625,337,586,842,274,533,872,
637,775,042,364,491,796,683,590,262,545,317,290,310,737,134,792,913,466,953,
717,832,845,396,655,375,358,086,037,236,363,849,794,928,349,696,286,910,749,
482,710,195,535,209,583,618,038,715,158,026,794,350,072,830,455,196,154,303,
124,782,521,161,870,618,334,553,642,200,962,636,494,224,555,181,262,278,325,
452,995,364,829,183,215,736,444,122,780,445,971,891,145,380,163,824,074,519,
320,841,588,424,010,805,448,931,227,664,886,988,058,874,816,215,677,835,498,
850,139,678,190,188,911,757,852,354,450,565,337,046,106,379,304,999,610,091,
924,157,905,513,304,775,218,675,257,894,666,155,312,872,303,209,543,273,154,
069,029,163,201,958,127,919,635,510,238,115,917,412,478,290,494,047,099,316,
897,829,829,835,650,970,118,092,217,276,676,525,069,624,821,933,306,622,777,
342,496,162,289,091,116,010,605,341,403,209,038,018,166,319,680,867,136,536,
278,599,000,397,553,811,785,647,902,565,627,552,536,870,187,546,316,419,024,
787,663,707,153,064,709,856,036,193,032,104,906,600,009,220,524,147,450,753,
113,328,222,848,338,437,061,266,029,004,898,246,406,127,660,124,435,614,082,
617,385,120,527,853,810,313,846,708,421,719,268,353,110,211,273,106,783,900,
353,656,357,353,048,044,892,696,099,042,814,217,508,736,867,283,804,136,207,
532,208,339,516,138,721,138,573,875,708,734,669,101,373,630,781,212,579,083,
511,361,220,323,539,037,977,174,592,853,548,997,402,555,697,894,166,976,136,
859,071,027,247,710,178,378,470,866,544,559,768,277,631,576,974,196,287,797,
589,468,606,048,821,123,509,876,188,572,014,755,595,576,619,802,797,541,867,
201,734,474,580,323,714,647,229,767,436,370,076,906,268,556,646,347,863,502,
456,783,437,287,078,927,111,833,771,585,564,386,871,088,537,402,383,047,076,
246,076,591,821,184,971,052,844,546,617,896,068,288,081,093,151,211,265,194,
595,841,101,104,732,480,345,651,875,096,872,553,580,286,421,378,507,378,475,
359,919,947,685,768,485,296,865,661,545,881,258,004,957,712,311,729,751,324,
581,644,540,953,127,386,725,700,940,857,755,855,886,766,214,848,480,846,238,
141,114,882,253,556,433,378,112,938,599,453,522,225,482,198,043,788,032,952,
198,760,441,155,843,477,236,720,279,886,998,361,853,160,995,004,007,761,565,
256,384,197,654,486,087,513,488,730,503,807,747,277,365,186,865,256,537,009,
669,074,348,352,727,668,534,442,262,048,047,096,047,874,815,079,000,362,011,
039,882,504,680,091,390,660,293,804,127,853,427,187,303,028,563,417,540,409,
780,868,833,221,523,938,129,967,861,763,065,747,152,239,410,927,984,198,730,
525,206,634,244,103,598,873,734,413,743,830,041,816,174,638,960,584,072,449,
000,402,617,701,020,490,856,441,133,595,608,102,368,799,597,336,077,409,072,
336,785,361,928,356,015,444,900,406,307,166,441,036,992,815,573,324,837,404,
090,591,058,047,749,237,780,811,287,087,256,070,994,725,008,391,933,101,473,
621,569,874,860,856,025,566,416,222,010,719,492,127,260,191,276,240,693,093,
440,011,332,204,905,231,752,276,191,717,109,196,018,816,134,608,826,937,521,
923,227,563,835,073,987,329,594,005,959,786,521,045,710,218,397,406,759,622,
429,855,462,100,364,218,083,695,009,188,022,060,875,928,228,291,171,735,114,
796,438,540,288,703,654,152,846,678,294,808,496,867,274,498,194,158,828,444,
282,936,268,202,779,989,015,646,111,363,621,410,281,806,380,081,293,219,439,
974,840,731,984,448,807,378,341,809,414,069,699,805,483,878,443,295,984,340,
918,929,394,685,909,650,664,004,635,452,763,390,357,050,326,572,481,287,065,
319,132,362,277,359,987,444,027,486,821,843,483,773,679,030,536,028,558,517,
529,303,895,803,216,271,559,642,744,044,862,451,045,220,805,823,048,481,056,
876,187,981,987,659,549,515,633,547,417,773,993,163,868,743,941,349,467,540,
981,796,549,180,453,849,485,456,703,725,771,134,368,880,299,502,522,167,640,
877,740,276,050,503,147,451,307,480,667,040,306,160,561,197,449,075,750,875,
084,669,729,034,997,303,312,715,592,324,128,200,987,082,529,212,444,664,097,
448,778,512,577,698,887,342,132,298,790,215,579,348,154,487,586,087,822,601,
164,435,836,972,226,850,082,787,689,997,177,519,200,765,669,396,677,828,677,
240,929,847,265,571,498,590,315,900,442,166,716,481,460,333,825,585,583,946,
715,987,628,831,953,237,857,492,622,201,613,741,760,354,106,986,138,842,114,
192,830,518,243,659,985,301,982,384,700,446,857,788,698,905,451,317,426,400,
202,207,651,463,087,749,574,890,227,896,471,186,777,893,903,106,671,014,486,
831,441,874,353,882,993,551,502,629,629,591,019,087,834,345,262,398,141,245,
689,326,059,252,732,751,804,099,177,616,295,070,340,617,658,310,373,323,439,
085,980,318,001,611,984,517,295,439,454,263,655,682,119,431,838,987,798,025,
072,138,118,391,357,993,775,794,613,371,984,250,893,769,630,845,951,150,774,
858,138,217,243,518,945,518,962,152,341,876,347,053,804,650,634,425,564,241,
087,643,689,808,117,331,267,779,229,282,965,460,267,584,181,172,430,455,704,
999,387,688,569,492,236,660,737,407,856,181,603,551,192,591,866,087,486,374,
474,870,426,255,974,838,670,095,535,410,741,148,687,319,935,231,399,882,100,
177,736,672,767,782,888,135,955,910,592,433,180,963,248,731,441,481,900,298,
838,502,105,326,908,670,090,438,605,883,600,644,873,197,371,510,893,831,186,
777,130,680,544,953,999,680,914,168,516,154,120,983,514,632,929,940,138,264,
790,576,322,111,111,394,692,711,959,798,402,466,782,521,153,805,778,752,475,
462,249,192,581,100,009,911,165,469,725,495,106,435,283,226,756,066,002,451,
201,600,600,896,312,427,465,148,615,830,622,226,632,445,873,795,158,984,386,
232,342,922,101,871,399,830,812,977,626,754,345,693,485,489,712,880,601,536,
514,127,999,501,365,925,729,240,772,467,027,724,725,344,527,274,128,258,823,
216,256,943,896,962,502,537,155,328,619,212,960,599,119,324,729,714,421,684,
516,752,639,314,093,816,215,244,637,480,594,548,046,741,717,518,453,583,577,
055,631,575,795,370,409,682,150,642,466,918,562,033,017,059,254,833,085,132,
859,502,362,413,552,534,268,184,731,036,117,665,732,578,606,799,850,309,717,
696,252,080,893,106,614,936,230,913,301,709,957,156,966,408,778,972,542,599,
491,487,976,298,498,800,778,458,385,674,018,288,901,091,770,441,717,983,378,
689,397,057,811,253,411,637,552,128,359,869,914,441,094,138,013,099,164,338,
823,182,612,190,188,462,738,031,375,327,352,511,138,595,527,964,840,259,456,
213,533,951,003,255,685,880,667,980,378,110,341,045,386,722,025,444,104,123,
105,743,548,093,539,670,452,870,501,282,152,867,792,081,631,922,297,904,889,
657,908,513,379,563,126,423,857,787,938,631,400,634,757,155,618,544,855,106,
219,243,999,447,826,165,841,088,120,248,970,157,506,632,937,204,637,944,338,
076,801,345,672,659,932,325,190,247,935,648,294,001,379,910,191,765,225,067,
174,063,512,830,656,709,490,716,302,441,272,084,137,645,796,569,041,167,904,
396,876,657,058,479,612,148,847,835,417,698,357,578,263,505,856,934,763,542,
702,302,759,558,514,608,763,127,806,246,485,972,723,167,213,745,851,598,398,
604,316,120,169,376,003,674,991,353,183,827,143,296,050,220,860,131,111,560,
567,845,365,284,352,353,853,286,406,706,130,366,396,635,326,989,495,424,735,
457,561,162,319,495,888,526,190,769,306,015,272,868,445,376,678,495,626,647,
705,431,491,426,577,543,090,882,514,895,126,332,093,582,246,910,427,850,517,
816,486,597,370,351,307,332,856,441,792,223,714,262,617,148,530,490,207,453,
669,896,946,793,830,027,626,667,053,980,791,263,865,457,299,338,705,235,228,
113,827,306,576,393,741,259,182,110,998,725,321,844,851,491,026,859,069,736,
064,532,547,884,228,877,528,411,241,005,578,686,425,047,227,011,309,743,443,
044,692,275,762,206,120,979,398,606,681,037,925,895,159,107,773,253,108,799,
033,726,651,469,695,485,473,508,719,137,288,761,656,188,737,378,766,921,196,
485,756,375,656,626,213,516,762,085,217,048,904,946,283,908,704,984,044,362,
341,190,892,352,278,819,695,816,137,263,500,025,819,398,430,563,185,059,665,
280,603,216,865,114,852,921,406,628,973,843,967,071,868,341,172,664,137,861,
410,542,410,250,012,471,681,625,098,775,657,150,096,685,927,642,314,305,970,
718,596,547,479,195,719,597,667,584,436,486,229,042,152,763,140,958,220,134,
340,485,279,730,599,555,764,615,408,448,680,293,361,385,105,905,079,704,472,
956,824,558,983,674,423,903,108,448,164,725,602,628,207,548,829,588,035,331,
151,543,477,845,071,382,951,637,798,501,695,356,850,980,326,896,430,691,556,
532,251,154,699,283,011,613,444,643,624,648,384,039,954,633,467,784,360,201,
166,395,555,897,997,428,795,658,686,030,645,752,953,536,328,669,302,991,538,
645,336,173,873,123,096,317,707,776,244,457,587,586,446,469,544,768,291,199,
154,640,018,134,803,649,376,934,285,221,932,119,137,081,286,190,400,940,961,
936,174,030,158,055,092,728,553,017,738,367,430,808,937,718,570,438,110,517,
453,115,979,554,590,941,284,352,091,308,692,966,183,156,068,038,322,524,904,
615,799,421,059,972,386,395,652,718,827,975,338,787,018,580,763,468,007,534,
136,804,076,054,053,336,863,154,252,800,215,124,729,762,209,027,813,877,306,
954,883,923,562,822,888,819,316,697,350,282,954,718,785,695,770,399,639,462,
175,779,408,726,697,775,902,995,490,463,781,647,068,331,868,519,491,311,548,
056,496,709,960,085,486,754,818,780,046,075,470,799,929,747,332,389,485,293,
621,290,098,634,224,679,550,530,929,713,368,830,287,999,391,986,160,675,871,
728,894,826,159,739,312,479,266,918,324,073,787,397,606,803,049,059,629,692,
571,739,394,282,163,293,946,240,122,292,002,482,522,088,185,158,850,912,647,
752,445,134,721,220,625,775,988,816,819,059,298,251,889,624,380,849,466,826,
139,361,043,552,248,846,536,670,228,649,158,232,111,655,468,933,744,432,996,
841,485,265,867,166,521,576,031,649,287,535,716,587,111,142,126,398,686,100,
932,534,108,255,319,408,061,705,266,914,572,118,170,858,638,843,981,164,072,
330,758,998,581,985,817,868,547,113,773,505,418,536,031,654,510,407,083,850,
077,442,556,723,981,893,657,227,756,444,812,337,499,402,625,644,727,901,147,
844,221,169,210,076,513,954,376,546,630,165,075,519,142,816,425,579,311,190,
912,017,771,594,021,901,753,443,542,247,001,950,409,868,239,932,995,741,049,
080,596,738,366,672,064,927,035,160,158,322,271,247,969,788,035,603,420,013,
896,842,670,836,558,299,504,990,368,804,244,581,483,689,851,738,921,616,508,
606,415,804,281,451,233,564,835,327,964,907,580,615,098,226,038,868,673,488,
718,830,449,279,468,405,934,649,885,085,394,819,540,435,859,737,181,427,578,
037,618,476,280,321,122,195,035,854,531,689,595,765,345,871,774,245,836,834,
641,216,558,281,305,451,581,242,702,925,891,711,058,206,847,309,524,390,552,
239,679,746,572,917,412,282,898,566,509,765,066,658,354,217,738,081,133,593,
945,104,110,301,660,668,702,129,482,997,455,372,247,166,554,318,358,176,344,
110,217,262,828,375,127,004,450,406,700,674,234,387,539,650,400,086,272,150,
137,180,099,528,721,248,760,775,374,890,770,929,787,661,892,624,062,419,253,
602,299,406,062,111,033,558,627,548,199,954,746,870,272,763,947,244,896,379,
737,670,056,746,667,554,753,413,026,515,071,903,554,033,351,870,849,594,507,
191,302,834,826,629,897,644,327,133,485,311,387,330,704,677,101,837,658,331,
042,098,745,749,251,560,262,146,888,342,571,695,891,400,342,796,594,357,028,
903,103,328,362,110,407,721,837,021,592,817,454,085,398,464,307,372,482,709,
342,116,322,071,583,338,510,047,520,296,992,884,445,427,987,924,276,834,649,
942,727,804,899,329,460,890,242,938,403,163,290,489,935,848,047,085,334,674,
304,400,360,013,582,291,624,495,146,085,226,896,931,957,932,079,862,328,063,
013,583,798,821,042,110,529,761,304,571,605,696,170,030,221,313,919,140,723,
054,106,569,540,177,100,887,087,685,093,158,583,595,585,649,392,244,330,806,
014,115,254,074,198,627,551,908,741,292,546,342,693,413,900,052,523,769,265,
264,460,226,847,585,728,078,024,859,213,356,982,912,636,756,361,586,735,143,
669,301,671,381,357,965,590,624,641,559,922,568,355,563,138,283,796,044,797,
361,545,955,071,990,016,596,090,672,130,315,864,325,733,499,034,085,290,214,
142,807,168,966,572,528,950,336,968,898,738,737,463,358,890,316,355,120,794,
893,047,147,843,715,339,277,506,103,435,166,988,512,389,973,955,251,049,659,
418,824,745,182,058,295,048,063,671,580,994,080,153,887,359,814,758,605,828,
890,698,119,208,120,787,964,139,050,857,153,146,488,079,546,936,557,071,676,
197,231,783,997,507,658,274,249,962,478,825,878,069,434,618,608,974,141,618,
573,800,704,694,116,476,126,138,008,297,622,508,662,383,296,122,570,272,954,
173,092,473,696,899,237,185,923,379,770,014,947,394,102,635,161,603,673,949,
368,719,336,725,621,463,539,146,527,011,733,896,019,161,417,357,521,294,425,
049,565,277,757,332,980,184,832,629,186,725,511,651,963,202,005,879,162,343,
818,019,500,665,496,311,711,765,352,215,819,448,717,857,213,475,988,483,293,
208,401,148,598,694,520,748,644,987,344,838,978,786,370,619,913,666,053,018,
069,487,662,375,287,185,433,055,738,070,673,835,000,137,363,297,489,368,865,
370,582,374,981,780,901,115,306,188,592,186,151,539,691,079,057,925,610,138,
516,899,049,189,984,670,113,241,513,412,178,316,260,079,673,087,987,975,845,
497,686,215,875,218,950,063,758,366,544,898,959,640,918,809,762,752,747,768,
949,041,403,456,804,521,907,494,340,633,995,898,314,287,931,396,401,917,876,
335,552,297,969,111,231,093,224,236,257,485,176,142,761,857,531,077,437,246,
598,185,425,535,628,509,576,901,240,406,146,876,240,237,509,450,285,064,760,
649,757,674,415,075,832,653,545,767,757,079,072,524,595,742,706,592,264,515,
137,514,675,516,322,841,469,262,442,824,048,030,949,288,980,543,315,265,838,
769,433,316,093,504,080,975,194,285,564,918,056,583,756,784,152,107,661,009,
028,096,750,017,230,302,285,645,294,427,936,508,091,205,246,454,822,071,055,
585,588,836,630,821,692,854,121,847,044,925,074,016,726,572,432,228,562,451,
906,880,514,125,452,547,464,819,829,569,340,606,848,073,338,673,322,654,772,
563,233,442,710,366,333,359,848,743,690,484,772,567,112,850,553,682,644,444,
312,321,677,627,058,795,017,142,014,633,154,072,741,293,400,653,547,247,539,
121,862,587,806,395,539,383,401,136,864,822,451,491,087,432,200,243,159,746,
677,308,011,640,908,212,616,603,976,848,864,002,269,179,335,746,230,951,365,
697,635,881,449,159,561,149,441,114,098,414,336,592,311,549,735,432,502,667,
502,525,906,275,556,489,246,771,057,238,779,289,993,721,640,805,708,156,295,
261,364,456,773,521,615,211,992,086,017,401,314,470,701,357,786,395,388,699,
652,208,399,266,416,552,238,914,747,551,023,667,280,473,200,296,731,480,266,
402,099,906,919,473,002,261,755,388,305,812,156,411,335,205,039,328,774,988,
570,905,335,341,735,253,792,097,028,795,195,879,048,157,929,608,633,808,790,
953,476,651,958,096,030,866,753,239,420,327,283,027,067,675,479,743,053,273,
966,805,043,087,683,433,679,042,418,063,889,270,646,433,451,694,364,133,895,
508,780,693,270,718,341,054,931,373,978,817,196,078,731,933,371,860,145,135,
349,017,596,206,924,204,813,115,853,149,522,851,959,475,963,889,465,229,157,
901,475,363,566,481,980,497,776,644,763,455,327,992,353,825,232,801,675,599,
975,048,395,415,294,423,640,245,204,536,833,860,729,220,756,439,651,369,641,
839,451,196,833,061,586,001,578,631,040,689,766,118,028,894,697,700,310,504,
169,225,318,171,702,915,789,880,107,314,514,095,562,127,870,601,608,213,153,
001,740,957,711,408,051,834,836,713,063,750,743,838,163,696,572,976,245,972,
819,715,380,773,436,745,974,821,234,720,867,201,734,571,962,151,505,290,217,
936,202,394,638,647,458,607,977,791,467,378,443,274,670,089,865,025,861,845,
346,717,960,402,423,794,675,584,846,393,064,326,717,303,390,729,040,834,309,
508,888,701,675,180,913,451,902,350,294,381,171,308,272,844,307,770,899,687,
497,560,743,527,244,813,719,556,852,861,060,688,700,766,578,761,270,685,428,
084,754,938,099,352,365,016,461,445,778,922,870,978,771,054,346,558,534,949,
933,825,518,973,830,685,876,962,413,084,610,538,480,345,655,881,269,779,328,
642,967,824,363,494,867,342,626,066,564,259,550,583,062,305,265,277,436,764,
515,180,534,571,567,111,727,126,128,354,933,385,181,091,217,408,615,043,327,
180,885,092,165,481,339,386,093,901,397,006,334,886,466,677,568,593,221,572,
330,615,345,103,444,469,151,301,192,131,360,961,322,153,479,709,761,362,127,
598,262,964,419,659,398,013,424,199,357,902,263,098,942,578,704,823,305,262,
471,299,497,333,913,256,711,406,640,729,182,148,957,525,850,305,839,897,296,
418,774,432,610,968,146,253,495,763,431,978,967,457,877,956,643,924,792,800,
354,430,802,957,714,440,765,532,729,183,292,444,435,410,905,003,239,543,504,
472,352,284,995,797,592,232,384,507,872,835,959,961,957,081,710,116,528,979,
686,657,188,417,647,632,337,571,167,097,701,264,926,617,253,682,192,198,448,
281,500,168,974,205,480,567,474,064,510,923,770,325,437,935,883,294,014,060,
390,731,500,049,488,955,597,782,332,563,017,179,013,058,478,789,636,937,075,
559,280,646,370,472,226,036,828,591,556,178,836,315,262,895,934,847,700,108,
136,312,790,337,877,405,083,476,588,797,309,370,061,346,106,760,577,324,987,
372,189,872,196,617,369,617,612,211,791,888,888,193,932,871,368,128,806,922,
281,469,524,408,882,514,755,401,057,700,377,574,215,921,663,257,806,608,486,
663,146,995,979,554,472,174,593,498,270,546,258,351,441,623,532,318,291,790,
155,205,120,757,012,369,514,251,618,874,027,933,159,076,031,309,087,079,946,
855,595,668,168,819,728,552,896,719,741,576,275,892,513,087,493,137,351,975,
587,699,976,122,386,945,508,022,111,947,626,008,774,703,895,093,607,040,150,
205,292,564,796,425,000,765,880,845,305,629,524,305,787,457,055,439,963,537,
547,816,369,127,994,225,431,648,224,419,158,303,139,382,176,026,558,890,403,
860,415,120,849,681,567,960,578,117,623,964,013,360,232,689,720,830,915,681,
946,245,686,280,214,732,267,129,928,415,579,373,963,310,923,335,503,366,341,
503,023,142,673,410,308,604,801,919,472,641,036,973,951,527,945,285,436,697,
615,211,703,905,739,287,611,852,375,049,891,663,128,358,026,601,716,618,788,
456,613,415,516,023,477,091,654,146,228,118,121,204,012,043,939,240,253,386,
620,830,064,029,977,225,772,004,075,776,349,530,764,033,281,366,392,945,028,
110,116,949,725,158,429,120,048,180,905,689,211,540,046,921,463,002,504,936,
795,763,077,109,216,782,207,534,994,576,688,193,483,120,113,358,833,995,657,
500,142,675,704,893,020,375,011,890,500,310,717,272,346,878,360,214,356,219,
596,660,309,002,036,504,250,174,337,890,228,477,874,548,448,189,590,268,171,
877,457,064,383,759,527,985,228,930,401,628,324,418,427,249,308,282,302,954,
764,101,787,628,888,113,388,278,181,958,404,084,583,617,733,819,086,855,963,
546,682,344,646,982,258,491,929,923,874,023,766,163,566,058,380,632,529,612,
564,360,660,980,786,890,122,761,237,131,033,559,427,043,127,055,661,008,437,
387,648,352,807,399,477,018,048,004,840,578,793,716,940,864,348,291,384,682,
123,910,252,086,716,633,254,388,325,997,666,398,258,015,759,732,867,692,409,
253,023,186,162,384,226,433,092,461,177,959,674,989,053,483,401,940,492,993,
857,030,204,281,047,240,800,329,297,124,541,522,249,884,863,461,541,423,686,
418,040,274,574,377,407,443,499,620,109,235,381,012,292,255,673,134,687,500,
725,000,606,109,963,436,233,670,516,570,165,635,573,569,600,788,168,461,582,
892,529,140,674,578,596,898,152,472,378,491,988,646,272,716,103,055,404,297,
443,106,294,927,356,901,763,329,768,530,285,671,062,833,652,342,967,087,136,
958,516,585,728,187,690,573,299,380,434,193,534,012,870,261,388,097,619,244,
995,646,341,184,199,019,548,466,537,932,416,100,426,028,557,254,859,819,859,
909,631,311,931,337,064,173,858,174,916,618,564,341,318,274,774,692,665,908,
256,194,231,024,626,202,047,695,978,058,476,046,720,308,011,380,212,443,346,
152,455,536,018,204,032,782,280,887,053,704,576,454,111,136,281,413,574,726,
312,822,011,514,886,775,101,565,488,349,296,846,869,989,189,639,019,934,991,
572,184,095,845,344,877,648,494,391,802,199,688,673,402,868,155,864,695,032,
027,820,415,789,598,628,985,266,316,026,729,706,574,833,574,430,154,032,236,
061,619,863,708,552,674,465,816,967,362,648,837,339,531,572,706,758,511,381,
965,306,994,736,058,926,873,077,852,714,643,652,656,752,881,877,846,538,636,
234,638,769,106,218,868,254,965,032,542,190,225,735,327,939,318,447,228,670,
113,363,439,148,952,318,532,169,051,467,266,478,727,429,081,416,864,140,395,
621,659,319,835,946,490,765,754,171,758,217,632,466,110,159,169,899,087,566,
838,524,774,706,966,330,740,255,637,830,776,666,111,527,190,071,602,656,142,
531,483,558,950,626,919,562,804,636,973,214,223,115,359,705,631,690,373,581,
590,998,037,417,261,274,153,722,760,938,060,468,295,695,619,756,889,222,787,
438,913,366,976,301,213,716,460,379,893,550,030,595,137,813,799,975,284,860,
465,574,752,755,728,296,893,207,015,577,979,971,769,001,248,806,215,028,111,
203,696,168,479,416,217,197,086,042,874,860,926,299,115,375,105,273,508,493,
735,938,757,814,343,959,712,624,667,232,225,176,754,738,733,078,373,316,012,
846,993,891,029,032,802,993,521,321,955,039,818,393,164,761,455,833,019,978,
856,886,035,217,045,394,229,290,514,852,858,471,636,500,325,551,932,322,881,
598,690,064,203,315,533,332,676,603,428,471,829,629,119,613,084,715,337,425,
959,156,029,836,891,569,078,057,868,288,251,492,608,838,264,015,508,199,455,
290,444,492,720,130,288,409,262,838,983,156,502,725,018,362,566,152,844,256,
559,095,567,466,664,318,285,693,927,768,021,580,020,734,603,757,849,676,019,
972,334,799,902,038,809,229,307,667,888,539,334,772,082,236,785,291,454,959,
226,532,646,357,422,615,003,076,967,849,283,470,759,179,125,352,026,335,652,
827,901,392,475,682,039,368,827,129,753,838,762,438,755,145,996,703,017,532,
918,814,800,314,640,832,659,124,356,036,733,904,824,831,754,209,219,019,070,
689,212,055,251,765,950,620,745,731,592,951,102,683,727,520,841,950,684,300,
172,532,678,671,367,091,578,968,257,614,410,087,838,651,625,959,923,869,609,
756,484,588,837,619,089,454,707,768,746,982,659,237,803,667,005,676,708,430,
188,515,599,490,616,878,478,220,922,046,244,815,139,778,637,701,652,325,739,
927,764,560,710,444,181,078,361,032,077,258,030,584,953,548,383,831,068,548,
823,662,168,098,554,983,056,794,308,076,705,624,452,579,323,114,977,837,741,
064,762,647,740,176,138,899,726,193,704,444,435,544,368,823,506,603,122,764,
018,244,968,722,932,277,029,971,004,844,359,689,475,347,943,557,512,021,722,
764,258,783,663,952,695,587,362,031,411,926,201,966,607,132,318,508,576,461,
728,754,373,483,648,469,273,954,393,532,400,889,546,561,133,895,595,231,220,
893,597,953,881,522,594,575,399,510,721,972,824,887,488,660,044,422,472,601,
733,288,803,048,621,762,879,866,059,747,055,499,956,121,385,236,473,936,469,
763,633,565,615,800,788,093,167,301,809,462,775,966,344,841,956,021,478,377,
967,344,811,379,096,978,287,265,165,958,472,521,245,830,254,571,439,578,295,
954,579,421,691,720,264,289,971,738,555,038,355,488,722,579,345,572,089,514,
834,021,897,480,516,750,475,706,815,546,118,410,928,632,366,756,972,646,440,
274,735,384,930,290,197,765,677,547,690,399,116,930,097,819,810,013,412,612,
645,775,826,734,447,526,281,805,413,412,756,910,297,944,721,992,309,213,103,
009,472,749,843,710,195,296,090,972,811,337,616,359,199,231,051,446,622,865,
384,182,464,181,627,421,632,622,624,885,415,606,494,415,998,487,985,519,051,
771,817,839,605,671,458,044,870,294,317,995,327,995,950,828,358,395,927,192,
289,798,409,755,358,695,642,540,176,042,693,172,307,936,073,518,823,623,126,
118,462,649,245,909,968,614,860,260,336,564,579,973,008,772,388,538,681,312,
959,778,505,920,251,797,365,313,523,341,324,221,733,462,473,971,934,245,031,
125,549,490,920,680,426,602,094,053,888,078,719,427,273,828,276,958,731,280,
121,868,475,765,989,537,855,548,834,316,298,963,110,333,606,982,442,459,746,
235,174,319,198,326,752,917,695,164,390,774,787,549,264,244,987,458,449,320,
527,377,185,465,417,687,776,212,117,830,951,398,014,279,038,604,871,788,970,
745,345,119,391,440,338,233,838,351,200,865,215,201,390,607,658,290,867,225,
407,416,692,566,795,820,690,067,950,190,280,549,202,057,010,961,477,622,266,
914,770,118,465,413,855,759,611,183,769,174,454,262,908,496,874,802,649,661,
570,280,190,438,864,774,872,723,091,698,572,707,286,035,511,833,332,336,335,
781,713,011,837,729,538,034,521,273,941,247,101,017,983,897,393,062,872,448,
913,442,247,020,233,501,368,272,147,137,796,938,088,216,234,430,469,048,069,
970,610,348,898,358,031,692,494,695,250,492,332,883,971,615,360,105,780,684,
933,814,843,927,646,431,862,389,061,191,030,366,823,586,336,781,740,763,508,
490,067,918,443,063,248,367,664,541,708,656,764,130,897,759,569,473,162,272,
201,443,518,352,942,467,772,005,505,771,252,122,842,719,761,252,851,367,424,
016,170,227,382,479,569,052,714,999,360,864,926,379,392,224,751,692,403,025,
651,161,670,419,020,137,860,448,223,930,930,227,230,966,952,381,340,335,940,
039,991,004,002,866,155,271,471,335,597,939,908,635,046,129,754,191,674,809,
692,548,510,009,346,389,544,734,144,200,142,619,895,454,850,755,536,132,853,
470,801,172,356,265,761,525,411,060,564,810,852,496,142,576,456,871,603,221,
129,512,342,742,101,145,363,361,591,009,262,361,770,015,045,537,688,402,795,
632,292,949,391,279,075,216,033,833,067,380,902,033,151,352,600,104,039,345,
176,274,875,257,182,988,002,533,078,209,687,327,908,296,190,079,833,064,962,
948,825,267,735,294,268,105,603,721,585,943,478,705,326,780,040,009,012,306,
503,580,032,026,246,339,221,393,457,726,002,531,376,938,305,539,321,159,223,
903,228,675,042,716,598,417,909,317,218,456,706,185,267,761,503,232,874,571,
739,660,646,837,300,079,418,640,842,111,378,563,295,727,433,103,235,265,311,
219,347,140,333,175,986,708,547,100,708,880,937,064,850,617,947,341,892,312,
874,511,865,632,735,262,734,894,389,765,813,286,027,773,730,178,405,652,003,
832,291,508,643,189,082,617,643,988,048,935,581,306,044,162,146,098,793,749,
770,682,287,912,261,787,402,274,085,497,550,820,249,536,362,034,197,223,734,
619,656,562,365,858,476,679,736,053,006,889,619,885,550,284,432,989,298,704,
687,889,185,777,086,113,605,956,211,743,071,866,770,953,964,761,992,555,049,
787,517,390,643,529,237,054,761,375,995,605,090,139,569,454,307,332,623,684,
994,385,215,637,163,212,411,591,842,967,089,743,490,424,879,635,494,977,011,
409,431,879,076,020,780,986,599,803,720,677,796,575,829,995,622,477,748,016,
392,959,945,405,131,035,736,409,003,533,763,243,364,513,169,995,975,143,165,
908,278,514,889,456,645,644,033,212,494,388,738,440,242,240,579,425,432,850,
794,333,987,315,361,720,283,988,046,782,825,818,694,350,757,124,804,589,544,
668,959,897,301,719,794,579,797,589,506,616,670,390,848,660,777,307,654,306,
025,626,561,374,407,709,275,901,662,163,460,912,057,311,489,750,208,368,462,
189,435,887,154,610,999,334,758,479,363,535,073,933,617,924,830,396,536,991,
725,389,944,960,151,697,621,979,499,356,371,130,945,579,623,323,715,014,637,
248,447,772,544,903,156,382,943,765,207,908,774,763,264,123,134,466,089,754,
920,759,300,505,242,062,660,717,957,917,863,990,540,450,139,538,558,214,746,
865,523,948,353,008,490,236,651,687,326,341,180,409,724,246,880,000,898,595,
552,876,737,972,460,058,734,896,578,116,673,166,341,499,240,265,631,533,594,
143,542,520,612,772,424,917,007,924,780,198,732,627,357,854,285,373,319,664,
009,240,234,868,210,098,150,113,902,438,932,724,755,727,764,162,190,000,451,
023,237,720,044,608,944,800,467,618,739,075,115,652,033,339,091,216,445,235,
333,969,240,243,858,400,309,171,673,470,705,320,210,919,906,976,280,730,111,
905,375,568,820,094,293,288,832,581,292,910,681,326,735,804,974,101,564,425,
087,358,145,145,804,718,053,107,119,422,064,472,326,704,922,421,464,547,236,
790,453,577,718,251,201,189,436,287,812,418,312,286,453,154,948,028,775,450,
711,959,523,514,950,879,615,787,696,497,521,414,450,233,479,882,533,103,789,
177,687,421,706,509,514,253,811,669,478,527,743,612,542,071,920,618,016,689,
203,176,803,902,799,891,562,961,856,208,586,759,189,737,663,762,040,448,437,
712,311,026,463,717,169,000,494,154,360,704,652,058,047,136,991,487,465,568,
713,587,922,003,154,370,021,730,801,339,874,686,071,107,433,305,465,443,507,
602,788,797,148,380,857,481,456,459,207,478,625,106,963,701,015,938,601,742,
502,363,512,437,091,016,177,078,944,720,160,840,141,169,571,236,461,036,379,
296,231,383,553,069,523,810,848,897,202,235,758,696,979,005,473,547,610,363,
263,594,636,933,200,988,598,399,654,228,468,007,344,935,727,762,677,419,371,
385,410,857,350,825,861,717,539,440,526,595,258,577,188,407,759,130,962,698,
719,120,319,310,228,467,411,213,931,349,539,293,314,304,436,015,159,339,191,
833,240,954,001,499,826,864,479,856,855,431,774,099,015,883,448,182,444,642,
987,727,953,608,673,107,674,108,633,720,889,257,372,573,458,720,958,488,754,
205,066,357,640,670,847,538,459,863,841,836,959,217,634,694,560,301,269,937,
421,440,004,629,717,369,459,649,272,381,665,098,170,333,674,559,467,096,179,
347,620,910,443,364,282,630,185,471,156,713,965,284,385,566,319,758,177,041,
672,307,259,693,101,126,996,684,820,174,100,123,824,719,184,137,111,522,613,
930,155,359,805,997,758,414,633,138,586,954,956,690,259,586,248,914,747,386,
018,977,359,099,905,695,852,494,965,528,348,892,834,029,139,567,835,672,841,
772,961,442,381,182,028,792,054,045,447,082,579,299,017,823,850,893,830,753,
176,979,929,207,874,701,744,217,961,793,194,483,970,929,331,301,571,686,533,
328,187,374,588,770,206,644,644,919,684,501,167,448,690,372,569,627,104,628,
534,052,771,164,500,051,739,485,292,185,668,596,966,092,956,307,277,715,610,
809,397,786,177,423,892,784,530,498,210,636,661,011,101,287,817,904,403,723,
589,962,163,879,292,560,779,448,090,896,344,614,191,314,340,669,098,020,053,
405,565,941,963,250,137,783,205,265,428,234,356,375,756,217,448,432,449,399,
232,820,182,178,491,720,131,985,447,236,086,340,248,197,900,467,501,835,627,
657,666,976,754,474,859,384,507,999,533,483,549,673,576,516,410,437,152,788,
464,547,524,983,316,767,376,269,059,250,936,887,303,860,784,472,564,236,497,
242,879,583,731,751,177,200,257,443,939,280,448,363,803,462,858,700,810,389,
064,235,331,233,555,226,272,019,505,469,433,011,387,237,179,315,200,690,592,
734,621,915,810,762,850,944,638,113,619,598,552,544,707,530,449,502,815,097,
729,552,048,938,943,211,152,155,306,467,499,498,262,869,727,646,346,738,375,
308,583,231,038,163,363,705,837,031,672,884,272,473,788,097,683,150,617,142,
483,089,142,857,635,355,392,430,867,306,916,544,200,298,041,407,653,328,086,
234,189,293,126,449,179,171,387,137,170,844,963,954,022,234,306,388,151,196,
531,431,984,435,613,072,143,837,036,948,992,869,655,876,564,168,369,101,037,
752,141,120,955,769,644,060,507,826,010,604,226,557,220,639,402,374,563,782,
260,398,924,978,652,705,451,684,709,940,300,333,851,137,267,453,461,659,980,
184,717,020,904,631,434,108,742,996,712,944,097,170,348,747,853,176,971,538,
229,050,845,043,504,259,881,845,818,022,414,654,874,828,412,019,942,258,872,
142,161,989,693,501,239,486,239,046,762,728,458,438,620,709,893,511,628,485,
771,388,541,227,375,555,802,215,166,581,802,898,816,804,880,795,433,732,004,
672,839,278,293,727,766,046,866,404,592,839,608,625,370,473,481,346,397,817,
946,052,866,706,384,728,049,057,162,669,946,053,557,604,232,888,712,325,762,
825,403,488,475,902,795,479,441,963,662,178,084,487,494,179,039,437,677,093,
145,586,594,980,851,010,535,401,377,148,138,175,439,147,490,095,036,561,743,
991,224,341,448,077,061,791,979,852,719,890,156,849,546,537,622,830,195,484,
721,260,461,585,297,718,403,812,416,185,587,370,414,315,177,209,735,467,817,
245,696,592,125,174,433,494,040,963,944,004,606,193,461,538,401,127,569,692,
761,709,535,662,804,537,241,198,868,987,210,704,932,514,771,103,130,671,934,
542,277,058,985,895,339,600,221,683,301,464,505,012,927,468,904,387,014,607,
715,597,522,218,508,031,018,575,455,374,438,614,875,749,472,298,556,611,894,
496,874,707,326,221,280,665,112,977,907,691,353,747,221,723,554,507,168,999,
808,220,842,492,667,383,660,227,669,635,751,595,603,078,026,429,032,198,604,
812,388,058,058,000,686,150,852,446,174,837,915,586,389,477,688,992,841,061,
581,389,270,737,012,196,062,251,649,911,778,471,772,197,986,788,987,068,845,
858,220,492,480,982,140,658,602,264,434,640,922,668,493,931,432,557,925,540,
782,363,731,391,752,955,044,255,191,194,195,379,554,606,224,014,647,100,658,
710,508,677,945,745,300,236,297,175,778,692,670,951,782,972,394,709,437,666,
276,058,248,331,151,183,531,705,950,881,367,670,052,881,080,575,398,651,435,
476,863,172,486,235,852,019,860,033,189,291,567,332,188,320,035,651,777,734,
433,043,585,981,947,543,182,218,940,539,225,993,474,778,371,602,719,691,867,
682,009,046,083,493,171,114,326,192,768,203,628,544,399,808,058,792,344,274,
699,670,725,510,668,046,572,447,051,040,604,349,394,005,761,926,449,724,904,
678,312,488,123,624,175,632,098,433,611,366,918,702,749,724,433,071,345,835,
356,522,307,251,389,944,480,691,961,004,040,762,407,100,365,853,669,998,560,
963,163,446,785,069,800,836,495,053,891,052,229,450,546,524,330,600,813,553,
015,852,805,314,399,287,172,068,441,744,063,788,178,990,751,227,844,231,907,
612,234,298,427,768,506,373,533,484,251,258,347,909,289,591,096,742,053,787,
178,160,667,529,104,169,691,422,384,881,900,608,273,688,069,447,585,726,858,
343,460,645,659,713,208,116,641,178,647,518,506,266,759,833,942,129,220,299,
468,410,762,742,587,824,791,320,358,187,769,961,875,465,548,795,154,173,646,
207,407,439,581,731,432,144,819,454,591,303,092,499,174,192,152,521,980,090,
806,276,292,668,983,247,982,921,407,583,006,224,824,317,723,097,646,010,795,
946,459,485,291,703,080,414,261,382,528,344,017,286,604,825,755,239,883,735,
834,799,655,705,906,373,992,770,968,226,456,190,957,644,610,225,477,308,539,
951,095,355,173,119,396,030,856,497,191,990,637,448,038,190,541,646,896,982,
789,552,994,175,141,513,113,709,258,919,523,315,006,947,903,218,992,510,060,
900,693,527,649,414,020,583,893,352,715,689,979,009,250,294,571,830,043,120,
017,142,519,737,485,161,559,722,235,871,215,516,996,213,087,976,840,378,142,
611,569,714,669,404,025,771,410,621,342,494,623,437,130,213,861,465,556,540,
463,704,281,177,783,608,305,283,160,915,713,078,720,327,533,250,330,968,316,
132,143,408,557,199,823,477,170,696,714,927,035,179,547,268,512,160,922,564,
796,083,375,174,807,846,405,258,438,237,949,586,697,440,870,585,382,681,806,
138,397,814,732,963,808,065,628,436,911,725,137,217,743,143,472,561,686,362,
127,482,423,363,484,741,523,195,787,455,926,668,350,480,628,693,318,203,853,
951,614,054,549,762,850,843,458,646,726,453,994,581,070,440,793,091,225,829,
071,977,712,220,766,370,731,923,936,754,356,756,628,170,803,489,420,347,136,
966,243,237,117,882,090,918,176,976,033,824,949,825,519,110,093,327,300,534,
897,285,929,557,881,424,135,412,058,682,757,433,762,578,608,320,000,496,675,
288,051,365,463,344,128,819,001,538,975,386,777,538,453,575,097,440,688,517,
125,781,735,863,106,438,158,105,557,577,887,004,130,763,660,180,885,752,301,
406,251,749,583,502,471,771,263,601,110,679,552,176,712,277,940,355,446,098,
929,848,885,592,139,941,708,875,134,353,432,811,972,112,451,709,623,559,679,
041,940,976,094,045,356,980,051,084,300,246,812,381,165,861,087,688,175,343,
018,755,856,708,118,790,985,964,835,712,891,385,426,260,107,518,958,369,546,
791,024,273,897,475,199,269,843,128,281,203,491,954,950,780,542,510,932,178,
114,990,529,257,904,871,624,209,817,942,176,791,215,004,784,241,914,934,051,
755,566,573,665,965,800,867,075,522,232,951,049,425,103,623,609,179,948,102,
172,508,865,828,966,673,842,631,715,932,322,219,125,354,879,795,029,277,670,
383,150,472,305,080,857,676,261,796,238,913,840,848,052,101,633,292,802,029,
183,235,924,969,403,232,655,145,953,827,642,657,421,848,189,444,449,167,984,
061,937,696,144,466,074,255,252,874,810,448,636,306,424,555,318,831,385,223,
237,986,974,218,703,452,429,624,350,792,905,776,829,877,495,844,312,765,794,
255,506,186,966,379,313,984,608,966,754,872,086,088,621,447,988,039,883,064,
056,723,427,353,504,872,078,709,425,619,204,086,902,760,589,002,804,109,325,
680,263,714,449,679,974,437,875,726,930,767,705,267,514,289,600,745,757,670,
099,100,024,638,049,027,296,647,861,814,997,521,741,161,296,707,009,554,010,
892,371,905,592,971,469,097,022,378,877,049,527,685,026,931,068,280,183,510,
606,953,731,453,172,527,985,389,421,163,814,512,635,363,368,557,308,858,330,
669,277,871,944,062,675,424,541,583,163,898,689,680,790,977,277,456,527,272,
659,026,010,527,238,997,739,953,288,019,461,783,652,740,578,926,509,221,073,
285,533,067,481,567,621,427,285,657,066,756,669,407,823,208,594,726,546,093,
267,249,947,767,469,189,638,693,433,417,196,876,336,012,169,833,774,172,731,
548,281,515,293,367,121,447,340,891,052,758,447,742,786,760,732,956,254,048,
132,050,871,179,914,754,475,470,932,823,620,827,717,533,804,488,534,577,625,
407,155,293,691,407,258,880,521,651,408,032,692,407,608,268,825,114,174,743,
335,309,015,005,780,153,186,932,911,708,888,520,588,755,387,060,154,232,316,
572,336,036,938,887,357,557,073,316,868,148,391,189,757,514,138,256,070,712,
089,136,425,097,586,652,015,803,182,267,252,536,168,253,944,068,654,199,994,
305,247,145,975,888,416,139,640,414,952,329,882,236,100,094,123,108,546,017,
266,337,801,770,637,969,659,897,544,178,185,423,895,835,415,286,719,644,876,
293,743,328,600,749,325,912,062,719,119,048,289,621,198,040,507,604,250,353,
473,699,303,680,502,558,522,261,122,201,246,356,226,961,842,097,805,043,899,
799,546,514,825,569,375,234,691,228,440,049,460,818,876,144,734,160,514,174,
241,553,096,734,656,190,533,957,044,031,156,570,290,386,885,571,886,453,829,
384,474,568,475,661,666,352,930,993,768,486,460,547,509,138,655,123,897,023,
759,390,194,398,695,730,523,073,332,687,201,666,270,613,370,192,416,171,633,
056,412,474,135,148,097,996,760,885,856,873,596,468,527,434,739,159,879,269,
828,250,060,898,926,756,044,216,104,884,307,270,394,837,730,902,269,791,972,
943,557,228,672,808,106,286,664,182,608,077,043,302,202,567,392,085,855,359,
515,655,686,375,395,821,298,951,152,122,991,633,288,384,485,499,968,625,470,
362,208,143,087,187,713,074,158,360,683,161,382,909,542,248,526,085,841,353,
458,294,844,332,787,368,749,227,865,627,995,328,818,082,906,300,144,840,391,
940,670,711,496,403,893,823,928,110,422,305,233,104,214,406,661,214,952,647,
753,378,035,075,729,998,756,568,065,934,856,044,107,511,057,671,280,700,437,
249,489,621,476,287,651,002,038,860,368,366,610,030,085,442,363,057,192,725,
120,817,779,818,560,701,288,631,431,965,819,353,682,352,498,008,665,049,636,
935,646,960,751,850,136,919,904,957,415,511,778,974,424,944,571,342,117,555,
309,305,717,175,590,861,396,534,516,535,159,893,520,669,959,353,318,118,412,
054,151,809,460,521,440,311,337,711,579,661,608,237,273,347,565,729,187,166,
349,825,055,297,274,887,695,666,279,647,362,347,242,065,542,831,623,112,650,
994,351,312,710,027,724,370,313,741,906,194,398,559,691,897,315,751,487,028,
107,390,232,885,253,827,603,567,806,436,930,003,128,587,573,002,266,909,108,
195,288,572,242,348,737,096,107,226,047,476,958,596,863,517,229,259,111,711,
348,294,970,805,868,913,486,043,704,504,348,594,488,570,193,916,230,536,227,
632,952,653,508,682,121,873,094,555,580,014,137,177,768,247,191,232,184,645,
456,503,296,367,739,718,654,822,049,557,913,108,618,299,680,787,788,367,781,
862,786,971,880,806,530,426,057,212,649,235,212,335,440,367,545,305,154,081,
969,004,927,577,005,847,238,007,962,993,406,461,952,541,911,071,097,967,568,
026,457,296,649,487,148,206,907,592,714,274,644,569,493,504,382,121,567,620,
895,816,094,419,010,213,554,075,724,924,485,943,833,484,518,324,940,761,860,
328,011,141,537,738,056,455,424,129,819,192,538,874,584,381,638,173,625,003,
560,446,443,026,606,613,742,938,200,964,571,139,736,206,081,460,087,637,826,
862,039,335,618,757,757,467,572,282,400,705,808,515,556,029,590,893,572,410,
135,745,028,916,428,970,190,398,601,327,102,481,075,807,747,838,387,163,282,
053,041,269,854,529,094,638,124,067,895,066,164,134,258,178,069,067,322,991,
179,127,078,387,822,846,771,681,582,986,830,206,557,090,078,857,711,641,615,
638,050,620,557,290,695,689,548,998,610,961,531,817,427,767,592,470,985,536,
938,487,858,114,289,477,242,746,520,892,424,250,370,116,196,626,664,232,844,
976,448,086,777,026,461,410,563,375,148,743,711,199,364,725,064,257,588,190,
438,271,840,253,257,759,583,409,700,767,027,785,774,112,066,219,419,593,588,
970,595,105,300,272,772,905,014,746,211,756,977,504,458,089,280,077,197,193,
903,915,578,756,870,353,635,273,747,184,647,700,036,190,800,618,027,122,227,
868,519,597,614,282,282,065,172,975,556,766,684,635,445,127,452,396,712,841,
062,263,755,861,355,354,549,359,728,590,809,180,116,449,940,082,496,908,821,
221,177,278,562,789,396,558,204,774,531,743,621,521,836,783,682,170,796,158,
952,570,607,451,307,909,875,610,122,044,859,449,197,050,618,163,710,581,941,
997,418,124,184,627,593,786,574,050,347,262,312,696,099,394,479,256,313,009,
200,099,132,671,920,467,546,468,625,157,235,501,240,091,788,689,113,172,609,
574,273,305,136,576,378,139,122,169,911,867,126,900,077,801,638,092,680,281,
262,681,810,221,285,759,112,362,926,879,231,954,648,208,550,950,337,024,267,
881,057,293,329,052,328,841,198,959,131,366,590,429,338,964,283,801,103,714,
407,351,229,283,245,057,331,110,140,277,233,413,797,053,583,123,094,569,522,
911,011,590,004,268,002,094,694,872,668,880,676,120,831,177,966,260,273,349,
099,741,373,645,685,316,446,626,655,848,488,021,210,974,695,883,447,526,729,
783,516,283,773,067,102,060,378,722,194,262,078,695,333,137,811,314,995,920,
431,022,581,451,226,768,437,496,521,573,687,902,086,361,395,007,395,970,550,
068,593,696,351,887,132,151,881,924,190,187,257,222,522,862,983,633,838,218,
793,328,163,055,756,067,415,646,028,888,713,716,142,268,833,689,959,488,321,
756,353,266,502,202,479,994,340,964,390,562,540,870,398,620,624,248,112,020,
628,854,548,819,751,220,848,903,657,667,383,595,058,198,744,164,209,738,336,
272,775,006,589,000,926,084,857,038,651,714,512,938,574,554,414,558,559,662,
713,979,604,581,888,992,328,057,407,658,350,015,299,516,100,796,806,824,390,
235,191,101,522,992,155,112,499,865,956,101,211,041,877,485,788,541,995,551,
074,098,233,470,113,141,588,322,459,964,020,900,481,239,529,245,159,998,613,
863,784,010,300,269,896,630,042,057,804,688,729,389,579,532,803,710,052,674,
603,349,665,661,065,989,040,978,574,610,523,911,404,678,677,990,216,969,668,
226,951,946,627,305,360,626,192,084,786,895,436,370,940,524,708,715,300,126,
496,942,034,209,098,261,422,935,677,545,608,205,859,435,919,274,214,074,969,
721,591,172,432,562,875,713,994,176,530,817,730,779,537,509,845,847,917,748,
190,208,509,207,514,656,493,832,477,203,759,991,061,101,389,941,175,102,882,
491,152,893,359,542,215,136,666,700,236,357,020,123,682,423,680,881,386,862,
978,782,269,447,982,852,256,418,857,138,867,900,538,902,228,833,077,472,720,
153,373,925,598,699,821,337,742,467,946,149,457,887,566,983,841,314,834,768,
604,421,764,309,061,335,746,984,193,956,516,611,871,403,729,521,267,920,420,
612,615,510,370,864,276,836,181,839,258,961,860,934,102,642,602,416,758,593,
781,694,180,204,420,900,348,535,852,940,717,481,391,860,745,299,593,935,991,
235,494,414,834,214,028,356,875,091,509,340,198,086,205,125,560,730,846,189,
417,705,029,986,903,491,323,592,008,373,225,169,780,074,367,791,298,754,452,
305,922,866,040,184,915,906,923,942,295,668,269,339,880,017,906,630,102,532,
763,992,456,271,152,738,114,673,875,444,863,545,486,109,907,247,119,013,930,
941,815,023,623,824,955,900,788,908,479,620,335,695,271,003,231,043,618,547,
700,205,884,032,546,879,260,679,195,098,778,693,468,289,277,534,603,828,059,
054,053,227,152,488,319,637,062,372,476,368,517,588,489,890,916,639,472,972,
646,691,582,096,047,692,433,755,530,151,016,724,618,490,708,774,645,379,245,
414,854,129,749,390,407,687,326,567,512,178,010,203,280,787,651,639,094,077,
284,728,430,588,219,395,144,426,297,584,717,277,417,479,282,839,255,352,174,
414,285,439,550,783,106,264,761,025,111,411,366,301,089,318,850,717,341,084,
248,139,906,926,968,597,968,229,644,624,179,079,679,413,865,281,857,967,762,
907,266,225,163,226,148,789,816,957,405,603,594,495,526,311,012,014,040,539,
734,545,013,070,446,941,027,980,287,558,714,479,517,775,698,867,451,563,978,
040,026,712,358,869,519,427,817,686,302,527,014,690,167,327,299,036,197,634,
552,152,089,147,014,080,118,787,135,375,701,590,550,790,962,485,069,944,944,
394,413,432,353,205,615,667,444,540,561,126,997,047,045,867,943,509,613,545,
245,427,415,478,391,589,214,203,408,737,093,690,354,765,907,372,636,625,874,
381,778,384,370,877,071,978,589,737,001,441,676,036,335,034,236,799,088,427,
024,748,638,256,095,466,648,291,049,456,631,076,795,797,820,397,954,812,153,
413,397,446,337,041,162,125,407,948,448,241,883,905,807,205,128,312,509,942,
927,795,608,889,610,863,717,475,793,081,558,701,291,508,086,807,446,752,580,
759,733,127,121,663,476,224,361,814,448,690,458,832,860,040,647,095,689,797,
537,797,059,981,812,608,593,870,679,069,487,514,120,306,009,111,534,575,936,
351,226,421,158,129,158,611,733,207,714,608,360,342,178,527,373,208,753,155,
397,414,403,948,232,488,222,876,386,198,598,272,853,497,765,638,018,457,294,
107,962,350,009,304,116,124,897,660,365,549,104,239,744,040,877,257,751,895,
561,389,194,070,185,352,974,197,883,214,134,773,545,503,394,863,854,875,624,
317,447,108,330,840,639,926,900,497,108,988,188,164,805,750,020,477,912,289,
849,197,598,212,032,356,736,636,395,818,166,136,161,443,461,042,746,677,475,
303,125,216,386,606,719,822,522,083,582,423,126,643,730,318,519,830,108,125,
328,531,445,870,772,478,227,855,273,659,944,382,258,842,143,183,398,299,346,
567,292,513,711,574,503,933,591,298,631,778,526,129,954,926,304,868,415,185,
090,725,475,464,898,144,164,977,388,339,092,190,896,482,168,422,740,098,548,
169,929,024,672,355,254,310,787,550,624,411,066,102,992,756,925,408,773,813,
665,833,522,512,482,216,429,274,157,605,040,376,848,386,123,065,911,015,626,
759,601,349,476,876,829,198,235,251,924,758,657,976,993,170,524,171,605,632,
603,830,344,941,872,537,518,998,602,382,733,238,796,057,539,739,170,433,386,
261,344,246,370,000,524,511,898,998,551,027,208,791,059,156,144,833,780,087,
703,150,447,432,718,060,257,922,800,403,681,446,416,969,295,582,205,459,805,
730,293,503,885,442,459,127,774,192,205,934,853,707,893,104,728,479,299,048,
059,689,178,947,704,947,471,605,017,104,027,964,398,392,231,708,911,920,969,
606,400,857,226,665,528,959,028,324,371,031,646,128,176,068,620,163,319,472,
950,898,430,298,206,698,359,473,367,959,847,164,244,141,642,697,841,483,121,
027,733,447,568,810,538,352,161,751,356,579,144,747,777,666,984,630,708,952,
933,402,438,008,927,707,626,082,681,034,799,012,900,294,798,730,894,661,114,
410,847,361,779,695,316,736,242,278,376,735,766,433,790,110,759,556,339,757,
983,506,921,964,497,811,373,232,421,271,270,240,362,756,102,131,213,095,545,
049,827,058,929,108,024,831,501,520,799,804,999,829,528,058,904,052,966,319,
899,156,681,699,083,175,736,581,363,831,643,650,726,345,937,602,124,385,609,
135,235,140,882,507,725,865,316,096,002,509,849,193,443,723,148,235,900,763,
683,980,853,953,207,408,519,533,170,793,533,485,284,782,021,128,228,428,877,
474,519,946,007,821,616,582,012,837,528,514,075,670,612,048,489,205,466,321,
975,256,072,347,142,720,696,962,222,235,839,339,745,214,535,730,718,967,929,
776,934,985,710,139,914,566,440,099,067,115,659,117,825,123,712,516,598,601,
864,214,758,335,173,538,362,797,468,256,279,125,895,612,279,307,961,575,027,
078,380,550,723,951,204,600,195,885,825,636,902,469,869,472,551,200,379,416,
833,419,255,148,403,204,448,270,714,453,547,607,776,955,143,455,283,229,376,
580,525,426,724,105,973,395,909,580,260,146,424,209,747,951,029,171,861,139,
112,485,470,231,409,379,482,912,385,723,050,684,104,322,355,172,174,006,344,
781,123,042,103,770,146,609,768,559,817,739,426,584,897,136,302,080,451,098,
876,348,542,092,409,600,106,479,653,281,699,459,023,426,728,426,231,409,902,
807,503,616,198,159,235,227,234,392,587,093,601,124,750,067,809,982,755,818,
359,538,756,784,079,062,645,802,836,946,058,521,940,913,705,090,932,278,096,
113,724,618,733,637,644,318,000,347,581,182,852,852,730,043,763,682,282,460,
689,849,302,831,942,805,170,166,119,359,807,810,728,332,328,892,745,625,512,
702,015,761,313,126,678,252,928,629,384,396,942,809,045,609,658,435,993,762,
575,826,298,019,485,501,835,767,055,239,495,032,632,626,962,688,318,801,068,
751,174,691,266,951,591,211,147,711,124,068,166,411,758,607,064,691,707,123,
952,914,400,414,659,121,970,442,276,803,875,250,916,709,597,839,596,621,298,
103,718,618,275,785,347,400,022,055,007,262,509,425,444,445,012,356,426,856,
688,994,889,586,597,342,641,670,185,398,814,471,770,404,613,951,583,178,351,
377,326,581,453,028,685,808,827,092,189,043,999,718,109,447,342,609,007,697,
020,598,082,310,060,656,328,073,279,547,672,543,289,638,627,548,335,711,009,
128,541,818,592,401,286,819,588,476,557,033,151,211,025,438,027,108,423,406,
254,020,807,844,027,048,012,700,111,060,493,885,065,314,170,925,426,745,892,
474,710,762,406,282,291,253,604,284,534,859,490,940,670,645,839,707,736,120,
401,636,333,387,106,541,392,575,166,681,458,942,637,918,652,797,454,417,700,
202,451,603,487,553,362,870,211,857,145,395,063,006,917,665,873,281,056,468,
135,820,568,691,463,784,077,073,508,283,265,452,496,655,766,428,237,920,279,
450,090,081,349,143,640,697,550,199,989,476,880,897,523,245,978,851,188,767,
751,469,895,202,303,963,668,267,292,695,804,994,086,117,719,829,191,039,324,
617,279,547,916,110,686,066,549,792,066,809,973,219,234,673,587,467,650,700,
802,862,896,365,462,350,029,590,925,220,882,102,063,859,360,656,856,774,319,
968,894,680,800,624,479,356,830,322,038,084,822,439,265,143,422,447,354,322,
374,358,482,255,849,847,223,983,670,352,361,873,746,089,673,874,916,778,712,
953,735,410,962,034,565,772,519,013,073,924,685,215,611,824,150,316,501,560,
992,858,551,539,652,339,744,076,314,671,961,760,369,703,658,839,351,806,568,
379,688,550,173,555,072,712,600,396,373,412,014,551,195,949,969,367,657,725,
529,236,704,287,202,751,707,426,364,743,118,988,496,843,917,917,118,026,103,
988,483,174,310,377,139,516,491,426,099,076,413,034,629,220,480,303,481,168,
840,189,043,204,215,111,266,178,806,271,330,187,245,371,151,841,690,422,528,
362,025,553,028,872,572,542,333,573,205,869,487,872,606,609,678,390,414,299,
134,748,371,953,504,096,575,481,203,939,654,563,268,024,810,323,257,052,577,
563,619,921,317,819,034,927,011,263,545,210,917,900,615,107,734,343,807,919,
749,825,411,422,834,585,818,998,208,869,166,696,744,394,308,484,347,092,602,
674,408,116,453,174,268,080,586,812,338,689,207,430,626,881,806,743,597,423,
771,579,556,533,920,694,866,733,522,403,727,811,375,833,189,033,444,375,782,
288,445,817,299,953,821,355,109,513,582,992,997,593,071,026,129,465,674,723,
697,589,693,330,941,445,701,434,048,206,065,377,642,042,829,773,281,391,431,
387,888,666,415,036,856,698,883,418,265,140,827,393,948,369,145,641,927,760,
269,261,150,588,658,381,729,700,988,738,105,082,994,832,239,384,524,436,319,
249,901,676,099,985,788,417,424,550,556,888,338,741,409,645,488,538,187,068,
317,906,229,971,373,974,755,004,131,239,648,592,210,106,684,804,056,295,918,
596,841,510,455,070,332,527,909,542,676,270,590,943,842,604,836,555,769,751,
715,231,278,564,579,393,561,765,172,372,601,593,663,527,434,304,391,880,271,
106,894,275,184,367,442,421,094,278,164,398,935,233,388,462,828,428,689,279,
540,348,765,450,301,347,305,124,165,363,452,866,806,281,428,173,352,642,056,
574,800,924,925,603,053,772,723,485,569,239,062,994,700,957,794,477,471,029,
394,992,450,389,033,389,711,183,677,060,759,028,992,717,504,005,564,534,061,
618,061,918,778,113,808,065,773,882,723,768,158,881,792,772,973,803,031,058,
180,847,977,295,733,078,043,921,483,270,545,666,803,658,640,042,149,030,544,
386,050,123,029,648,634,932,973,274,703,888,479,012,599,217,529,368,725,361,
375,667,078,519,901,485,595,361,305,852,048,317,619,426,306,604,023,238,964,
345,804,046,850,768,872,813,080,314,673,793,360,679,840,800,696,882,562,653,
451,913,472,858,766,189,414,670,775,385,629,594,861,516,033,212,177,923,338,
558,534,379,040,298,629,289,867,109,168,955,561,119,181,719,786,814,068,899,
779,197,613,491,650,401,057,071,898,796,849,169,884,141,519,959,353,722,953,
468,612,714,710,162,823,130,354,099,647,753,146,960,611,508,521,363,436,773,
965,765,038,688,816,193,260,654,620,704,699,312,301,026,004,505,086,586,672,
507,693,504,170,226,312,310,259,661,821,978,617,988,978,887,494,556,755,474,
177,715,057,371,854,634,452,986,197,711,490,988,396,524,972,272,321,882,470,
731,053,498,526,247,853,912,572,215,421,426,386,318,878,777,445,504,613,865,
777,933,659,468,428,005,177,130,288,721,706,895,255,714,506,132,115,728,359,
026,243,798,697,246,850,104,478,158,955,203,546,676,249,836,050,683,747,748,
913,526,962,125,108,462,697,801,360,943,763,808,364,910,345,132,196,208,491,
374,867,395,997,058,711,287,423,196,429,946,773,826,565,125,968,491,784,484,
880,933,036,211,493,674,575,834,035,347,125,195,186,200,578,239,748,427,326,
878,416,498,966,379,250,586,989,468,521,008,646,911,090,900,535,561,601,387,
347,703,857,682,413,218,502,381,080,875,918,245,610,306,141,316,987,381,532,
159,171,383,127,283,394,052,472,730,884,554,982,164,232,106,306,669,522,038,
802,801,623,789,960,950,864,578,526,157,522,648,061,304,029,021,922,374,485,
658,037,962,329,535,784,810,478,746,397,856,946,138,503,605,928,767,273,197,
909,328,253,146,094,714,852,140,803,102,596,544,879,132,660,828,111,166,213,
096,327,227,251,400,005,870,410,364,505,106,884,477,087,030,373,030,897,315,
558,428,146,583,425,989,141,558,530,358,029,327,394,155,782,724,210,786,166,
420,917,601,739,269,130,600,529,324,384,347,157,733,808,795,505,299,026,293,
915,565,963,315,888,121,228,905,041,585,065,060,001,475,331,534,365,740,944,
692,441,789,054,002,215,683,227,349,807,372,350,779,754,258,502,590,245,374,
205,413,060,718,888,800,547,049,448,891,468,096,151,072,580,293,547,200,633,
243,206,122,743,116,446,308,991,010,208,824,480,285,711,774,541,229,775,520,
615,090,423,934,502,095,240,401,519,561,804,433,567,907,123,321,286,393,516,
551,745,998,038,552,094,754,590,247,838,169,658,558,078,032,969,416,572,727,
680,570,689,748,625,943,759,021,376,039,989,468,044,893,330,676,809,481,718,
105,790,119,173,408,812,457,241,465,856,827,020,296,345,051,705,350,211,928,
664,152,094,828,214,086,926,876,109,791,126,443,871,998,459,674,764,919,049,
091,429,777,125,321,889,224,821,577,636,900,415,661,969,001,922,530,424,420,
351,724,207,875,251,489,665,773,372,055,686,923,584,500,308,670,379,879,811,
173,941,367,380,318,176,582,187,143,151,809,060,838,755,542,006,079,492,868,
298,718,897,298,377,765,636,255,977,021,010,812,831,230,918,368,957,292,047,
519,836,472,315,658,570,632,131,312,180,118,627,601,084,889,350,516,641,531,
244,890,812,660,967,377,952,897,852,860,049,688,513,968,050,062,236,674,455,
521,183,777,663,670,152,902,431,566,174,707,146,631,711,531,603,838,946,407,
317,843,018,511,619,332,070,984,356,747,855,865,823,765,788,827,447,745,815,
010,683,734,937,212,372,257,316,740,855,450,510,331,711,716,325,956,351,943,
780,384,016,663,090,847,697,233,796,224,587,779,281,363,220,476,843,645,190,
286,677,771,972,649,264,725,717,287,927,284,129,157,260,231,225,634,670,517,
774,544,522,267,124,301,229,655,407,897,398,572,845,521,394,531,715,572,076,
961,826,638,841,337,613,060,778,021,280,557,283,977,017,823,153,802,391,975,
706,711,950,511,336,706,565,867,315,471,722,140,867,835,096,496,572,553,792,
833,586,797,304,289,292,842,659,533,799,591,548,205,864,175,207,745,027,466,
724,930,455,102,089,332,196,837,052,631,682,374,192,569,373,269,437,088,803,
368,132,746,688,440,895,782,966,019,382,629,226,949,464,192,973,674,714,611,
581,493,870,598,457,375,773,592,835,761,359,113,090,794,763,146,135,371,714,
615,922,699,614,499,059,663,006,588,161,503,136,667,968,994,673,692,118,733,
790,913,382,565,387,035,315,581,464,112,885,785,415,871,533,521,029,047,196,
789,536,672,393,742,252,741,454,768,493,972,247,502,231,628,530,865,574,437,
866,690,425,171,309,081,179,425,633,760,047,440,716,797,366,704,074,939,999,
385,836,380,575,269,806,325,895,988,526,092,399,437,358,364,871,009,077,351,
719,753,622,904,058,148,608,239,219,665,322,980,672,612,718,178,141,199,324,
867,108,166,884,344,430,878,412,885,865,160,422,660,861,668,411,819,828,251,
455,904,264,583,132,712,997,033,782,790,690,446,347,514,241,662,465,215,778,
983,783,338,019,209,980,252,386,696,345,427,506,632,003,740,437,744,934,425,
260,120,372,864,021,438,021,021,958,551,224,705,508,433,484,867,235,605,822,
053,115,573,458,612,223,497,012,762,436,657,870,606,201,880,743,164,209,713,
891,005,115,513,433,174,972,431,123,238,465,581,650,993,048,197,728,634,417,
564,630,336,387,692,522,788,043,418,590,793,887,786,588,007,793,386,733,364,
806,437,050,985,657,836,086,894,547,981,652,784,724,278,508,180,421,599,644,
437,226,875,914,355,629,786,988,823,819,123,848,830,139,496,411,954,055,484,
199,988,159,640,377,351,101,105,019,403,480,318,716,028,458,562,471,424,900,
200,375,370,139,655,442,764,835,874,102,215,067,760,031,147,304,345,300,025,
615,006,322,269,744,585,864,671,342,644,714,600,394,327,859,950,438,841,881,
493,934,668,317,144,597,169,871,066,192,119,762,250,707,888,603,966,322,312,
614,076,207,767,321,802,151,190,774,111,678,435,667,013,701,391,985,435,138,
597,376,291,069,830,025,724,210,692,743,463,251,709,973,667,178,838,967,809,
464,963,037,209,463,333,105,889,156,422,147,523,523,686,836,926,140,138,365,
564,094,736,525,738,439,530,387,532,696,393,945,342,147,080,854,043,674,744,
039,049,342,469,044,861,689,706,695,143,955,327,251,028,518,971,216,497,159,
799,970,301,778,803,309,059,755,456,196,928,798,103,893,412,903,195,535,736,
511,088,971,871,661,760,069,466,686,276,455,438,153,898,331,840,803,309,263,
106,757,402,138,366,608,393,081,388,478,101,952,283,805,948,289,418,271,713,
163,238,091,750,992,932,181,219,839,819,530,912,405,410,535,519,594,895,021,
575,015,396,265,059,976,198,943,804,022,698,335,433,341,200,619,925,492,463,
531,184,446,964,776,928,900,946,497,479,422,152,185,071,368,231,274,653,704,
944,705,907,320,703,125,663,833,516,405,991,394,668,800,246,492,796,945,784,
091,093,129,205,610,733,950,445,243,237,945,669,517,445,711,450,213,336,231,
248,734,547,134,038,849,872,278,943,165,075,590,906,320,314,253,500,015,947,
812,763,165,047,465,447,874,316,893,754,066,747,813,402,431,369,869,936,051,
131,017,232,311,689,455,894,577,271,664,573,771,479,471,836,493,401,746,188,
624,013,099,473,629,074,439,589,360,130,279,903,487,294,481,167,711,848,438,
410,718,295,674,062,780,487,504,894,140,235,475,612,905,929,331,061,960,744,
606,405,572,120,262,152,759,929,744,132,988,201,400,244,237,147,250,698,828,
903,905,687,336,598,056,787,906,377,965,932,625,851,749,238,705,599,373,644,
852,708,486,629,808,767,739,703,817,545,063,234,387,187,296,270,952,989,438,
062,043,209,569,054,827,990,466,964,257,456,143,616,429,444,559,191,929,379,
714,437,016,609,579,877,300,232,691,389,213,215,309,740,469,834,964,257,569,
620,232,552,926,956,843,447,560,144,909,534,906,440,274,007,589,640,778,046,
532,793,467,954,248,107,638,789,013,962,494,976,858,970,366,390,219,036,742,
443,060,773,248,029,723,122,140,738,190,682,181,859,422,809,006,119,206,704,
625,234,245,755,833,358,785,212,709,623,885,040,318,465,472,343,643,191,186,
716,270,724,135,080,775,599,873,897,265,181,977,372,197,430,394,467,062,883,
110,821,380,663,859,469,590,693,588,844,647,758,521,465,302,054,515,861,615,
123,199,679,436,130,777,621,819,734,939,776,281,064,219,547,731,989,624,692,
641,726,768,901,177,906,702,333,620,178,388,723,807,282,273,837,115,864,900,
499,082,882,224,806,387,686,770,295,561,367,604,684,618,579,070,798,521,719,
784,257,570,589,872,819,820,546,595,202,225,005,726,699,098,707,042,570,537,
725,541,659,167,246,065,718,744,012,225,079,260,456,368,355,140,555,335,990,
689,881,942,224,076,999,488,781,729,145,104,508,361,188,746,972,466,569,495,
880,815,246,404,654,570,553,847,368,043,547,929,827,825,039,535,569,350,965,
473,956,609,438,663,082,671,899,872,845,861,287,270,309,344,201,755,729,676,
084,729,629,175,291,737,720,273,342,769,242,146,698,867,527,011,539,505,083,
553,239,739,991,913,255,773,798,518,120,461,501,618,069,532,948,587,865,029,
523,638,493,866,111,493,550,281,525,196,670,018,401,360,825,683,992,397,516,
917,575,602,730,565,062,645,012,621,850,130,460,750,772,529,037,367,812,223,
672,398,137,177,847,407,503,913,349,497,451,479,895,567,813,178,016,833,481,
387,132,277,264,803,987,556,541,516,323,689,891,018,536,887,534,640,871,886,
203,966,683,033,639,842,732,583,792,978,356,707,017,851,359,398,047,775,150,
394,283,864,552,858,796,596,451,667,000,751,979,514,165,884,705,605,655,053,
465,619,160,109,858,771,201,301,553,534,288,096,475,057,271,691,568,505,641,
948,260,799,676,556,771,888,597,378,452,611,686,832,810,538,579,618,917,132,
770,361,159,734,273,719,178,991,934,242,279,518,292,567,066,668,856,691,538,
349,094,152,089,370,302,128,537,081,923,117,308,326,144,385,271,336,675,713,
370,684,308,426,323,579,750,472,173,541,529,899,527,904,206,581,372,946,039,
700,199,970,307,098,092,419,597,396,719,275,711,387,347,636,406,803,333,986,
660,320,693,505,017,082,582,361,724,752,883,368,593,348,064,605,548,460,628,
682,513,614,452,692,943,546,194,347,688,908,812,257,554,034,209,578,891,188,
918,344,380,897,403,373,138,998,662,503,790,027,396,221,701,519,706,397,322,
467,468,271,034,388,609,660,596,630,142,303,737,750,549,945,395,993,272,279,
755,610,818,947,485,672,219,837,616,708,075,630,211,379,808,185,533,248,203,
128,206,940,461,622,227,689,780,837,240,994,316,442,134,351,043,891,744,673,
410,918,466,829,681,849,198,031,503,230,293,722,002,853,105,519,278,860,382,
235,170,680,959,532,991,322,169,641,418,634,725,766,855,339,061,824,965,733,
252,756,243,370,272,040,585,936,940,594,811,988,797,920,382,582,099,707,043,
306,015,679,119,199,463,758,871,911,644,427,611,530,569,433,550,860,360,884,
351,248,574,287,821,954,349,111,427,698,471,475,778,514,205,416,535,349,530,
246,647,037,696,801,430,727,042,676,806,572,615,637,782,908,179,983,534,766,
197,556,244,295,820,582,516,674,180,888,577,934,101,921,345,940,790,481,629,
979,221,802,842,223,176,952,457,817,063,419,867,532,360,928,321,944,485,532,
164,512,181,772,786,377,164,861,145,858,919,334,538,235,864,993,070,239,550,
569,499,639,425,537,565,883,014,880,033,454,461,848,840,445,234,420,792,599,
915,187,615,382,565,974,611,426,170,298,801,255,738,523,672,077,997,088,091,
837,951,466,178,169,378,909,450,500,930,698,389,267,465,600,218,944,155,397,
784,038,544,070,832,913,822,689,972,259,593,790,750,350,199,627,152,605,011,
144,054,723,503,546,925,540,440,584,627,744,976,350,459,115,360,675,476,925,
888,800,049,029,386,358,380,392,132,187,286,212,536,760,255,880,658,545,230,
339,508,144,859,119,006,235,529,173,490,689,840,110,915,179,193,567,221,545,
482,415,302,259,321,206,058,339,077,752,810,431,553,574,728,447,519,642,214,
890,171,245,853,706,283,103,455,042,663,326,058,855,050,960,620,424,877,548,
224,009,626,514,030,218,663,841,009,835,708,088,003,629,623,159,266,880,773,
330,292,781,251,138,014,443,645,625,795,364,918,965,882,470,559,153,733,031,
518,883,291,080,247,483,293,202,230,709,625,254,100,551,848,867,332,585,899,
706,265,715,780,316,201,468,787,705,364,943,417,061,716,437,249,180,571,666,
233,349,128,631,002,453,982,625,181,851,927,725,997,706,619,836,728,262,698,
683,053,141,061,534,786,380,427,978,418,752,703,119,250,581,886,067,354,372,
643,265,739,986,567,597,052,474,670,686,754,601,040,933,335,234,520,056,993,
297,118,934,681,809,805,082,898,846,666,774,465,959,963,963,589,066,670,697,
892,440,960,886,126,944,795,205,233,204,295,872,868,081,353,621,655,829,147,
790,230,034,198,237,267,490,930,825,291,436,146,267,784,747,312,452,204,825,
793,009,332,216,176,262,960,513,578,409,910,294,283,210,751,393,168,488,993,
641,868,374,355,713,274,630,203,489,531,784,521,557,133,890,084,502,240,343,
706,534,101,628,057,498,781,862,046,894,099,657,972,004,847,278,033,538,387,
649,854,104,024,735,628,610,265,324,007,011,255,889,093,211,492,344,867,707,
799,543,730,295,343,824,371,045,052,062,534,623,170,244,852,630,243,488,349,
967,941,108,314,401,915,875,981,215,893,382,278,027,308,219,290,617,538,064,
450,523,923,060,116,082,734,064,133,499,332,573,051,813,381,953,150,819,241,
725,336,438,619,432,535,870,623,370,329,081,846,175,066,318,518,044,694,567,
011,491,997,849,006,313,080,499,850,206,630,515,430,044,948,771,878,756,264,
777,298,945,784,364,815,700,902,447,995,829,477,415,900,298,692,748,387,741,
643,883,891,550,878,901,538,302,624,165,832,731,844,568,805,857,165,687,402,
073,906,203,033,333,174,737,897,086,886,343,512,844,050,290,613,191,400,163,
602,995,917,284,965,857,966,457,941,370,280,558,343,308,049,514,297,945,568,
731,872,140,895,236,740,430,807,436,760,011,993,033,016,031,149,359,768,309,
234,868,011,472,848,860,145,642,161,488,819,836,331,735,528,218,270,534,024,
210,314,214,042,847,845,529,693,188,122,341,169,447,041,961,489,566,426,286,
451,863,543,556,046,340,523,233,375,937,910,175,449,465,794,186,623,875,724,
931,494,935,451,164,918,640,963,204,936,760,317,061,427,527,781,861,647,730,
987,830,978,549,481,908,112,200,925,922,664,925,671,598,445,151,963,170,873,
326,681,824,364,421,814,737,688,231,065,996,531,149,323,751,683,179,181,190,
974,906,270,536,999,343,824,739,446,749,260,897,988,661,419,314,223,432,233,
374,459,933,756,232,557,752,354,632,684,289,965,492,385,576,344,292,819,793,
779,940,377,428,593,826,475,423,702,560,041,517,452,884,394,874,001,153,605,
452,144,170,081,768,179,417,322,049,807,334,910,974,011,081,580,249,631,460,
424,076,679,541,219,917,634,583,377,561,513,489,843,541,263,299,676,806,426,
550,862,331,413,752,591,826,838,056,531,467,595,485,480,383,667,778,252,656,
564,395,905,362,377,524,954,390,843,077,406,754,158,460,983,432,128,351,062,
683,674,418,809,007,196,706,599,401,867,374,867,631,474,006,713,932,563,156,
991,909,682,592,675,137,676,133,908,699,173,250,870,714,729,351,016,474,247,
439,985,939,299,153,841,119,287,479,330,784,954,461,158,151,856,892,884,788,
101,458,222,061,739,095,884,538,658,791,793,638,479,341,517,217,835,171,786,
431,296,794,422,124,849,024,316,083,068,140,430,844,942,216,779,641,429,662,
152,512,107,941,375,628,734,376,839,684,961,292,019,561,991,315,839,004,490,
864,335,805,619,500,731,139,823,647,048,862,092,475,094,213,531,362,524,541,
658,329,838,839,740,137,447,491,261,196,378,307,188,212,570,146,840,056,309,
411,817,167,789,351,196,619,275,881,898,641,733,589,035,576,638,412,018,950,
471,109,972,037,897,336,922,906,991,250,555,770,064,801,671,158,920,415,418,
944,796,215,812,475,107,887,984,975,981,039,644,999,300,739,613,686,209,323,
973,323,400,681,033,752,936,728,467,770,351,876,414,818,738,362,449,085,643,
136,357,889,436,225,426,977,911,691,357,911,339,476,163,234,122,221,568,240,
314,054,034,070,024,289,097,294,985,555,981,370,467,493,715,062,984,914,670,
887,480,153,037,377,390,325,606,515,299,169,891,876,206,073,963,857,610,044,
184,072,868,950,487,155,473,347,191,469,500,690,028,384,993,373,256,568,726,
062,912,768,561,338,473,488,268,043,634,925,405,266,997,914,150,622,481,670,
247,782,828,284,532,728,865,465,452,242,074,986,578,017,302,642,281,450,864,
691,585,563,200,826,412,858,564,071,182,605,693,042,185,359,421,283,919,645,
744,944,421,607,658,492,913,319,350,639,648,343,190,608,782,317,532,905,236,
738,037,211,921,027,159,028,364,187,432,138,537,975,851,580,919,734,453,362,
263,607,343,941,827,902,497,676,991,604,862,748,126,024,573,107,331,251,307,
827,053,546,933,147,579,564,261,148,973,877,929,917,242,790,934,121,411,169,
104,885,975,655,144,523,730,243,540,701,540,642,419,645,759,055,161,877,033,
034,292,482,191,670,909,153,265,652,467,396,540,103,702,611,307,664,473,927,
824,565,391,126,852,850,267,510,963,913,109,930,749,643,329,989,471,830,777,
991,977,341,095,428,661,985,269,951,839,735,123,137,548,723,972,806,333,378,
597,201,463,327,924,497,151,217,129,071,835,691,009,772,390,587,442,525,727,
864,308,566,442,844,547,090,730,018,750,345,377,922,366,432,734,051,971,238,
058,967,110,032,527,238,202,308,970,933,602,649,552,617,722,611,217,957,115,
650,820,165,327,811,544,595,143,855,080,632,058,610,878,746,863,821,932,917,
691,858,668,934,119,032,336,751,272,551,888,265,084,306,747,022,190,969,166,
604,361,498,847,013,876,205,458,759,064,135,342,913,795,019,919,817,570,525,
377,506,979,573,379,442,369,252,242,987,298,346,282,814,094,559,665,677,922,
043,822,240,011,137,344,994,359,394,028,593,519,819,058,728,641,554,829,288,
124,735,557,582,930,158,573,751,872,571,212,659,315,290,347,907,506,000,012,
146,033,597,830,839,226,929,946,095,592,812,498,048,798,371,934,727,515,073,
888,589,725,518,248,177,232,237,290,073,706,350,930,849,897,600,706,086,739,
184,784,058,537,811,652,733,577,773,904,121,023,928,051,427,867,533,608,566,
122,849,625,994,031,288,300,517,430,848,214,107,724,775,954,784,410,503,212,
144,063,011,306,878,616,149,678,124,032,026,911,262,932,130,862,801,405,667,
634,904,121,618,666,448,478,334,478,922,508,041,620,253,983,130,893,408,056,
518,523,200,078,667,841,480,526,217,107,545,860,502,056,630,483,315,750,617,
640,244,868,203,998,816,116,612,349,928,737,691,389,183,369,774,029,623,757,
339,826,400,371,081,751,392,241,409,880,845,801,092,138,368,941,695,583,419,
190,588,288,840,901,798,827,256,945,542,588,888,259,546,412,104,340,299,682,
606,592,534,073,959,221,648,408,423,116,299,140,947,063,102,567,175,084,564,
997,143,617,804,170,013,962,060,411,800,754,117,269,524,073,300,041,528,625,
219,159,496,827,590,968,123,545,573,420,292,772,353,172,869,144,188,903,476,
304,298,127,381,892,625,028,887,880,098,497,362,072,375,435,829,626,181,576,
012,658,976,467,041,612,201,853,835,026,442,432,296,000,162,545,066,171,717,
527,817,046,492,474,245,963,983,319,485,797,301,087,087,063,414,844,959,539,
695,702,505,565,369,874,231,176,594,786,225,945,276,242,905,986,190,436,061,
077,068,701,743,672,250,268,966,043,863,918,834,152,178,599,431,415,131,327,
701,399,369,764,172,021,540,297,915,396,746,662,197,088,611,015,117,851,583,
913,639,802,365,073,414,080,092,634,753,237,313,947,941,947,103,255,700,760,
725,780,480,758,464,834,916,650,948,206,365,278,470,477,100,382,447,064,667,
297,852,978,585,481,906,514,368,915,127,823,295,485,344,746,793,733,533,208,
186,848,863,011,651,641,867,054,729,704,844,688,279,007,809,387,193,013,136,
749,176,490,710,130,498,675,231,295,692,635,056,059,328,788,188,477,327,150,
221,599,387,051,219,531,950,960,179,895,307,134,116,709,038,492,108,401,304,
884,757,389,465,627,881,101,150,203,107,219,247,585,063,440,372,737,507,964,
961,242,746,194,424,948,697,810,937,656,708,173,480,634,177,788,808,094,763,
333,562,638,872,741,053,605,968,526,596,166,073,131,250,387,493,216,387,697,
827,671,003,432,048,437,442,587,520,950,527,661,337,857,725,436,413,898,701,
764,863,753,597,297,847,199,315,616,099,091,785,987,622,217,318,074,631,802,
942,389,483,264,295,435,071,361,778,720,653,268,446,132,056,626,985,929,570,
671,368,413,384,003,148,304,239,505,050,529,519,406,624,624,314,818,477,231,
877,683,599,391,547,998,703,701,474,456,837,541,061,095,221,007,904,797,818,
492,612,642,616,175,300,767,902,392,349,863,143,909,148,002,805,173,600,840,
922,408,677,288,037,597,855,904,818,267,619,220,856,427,662,892,099,007,790,
588,580,960,151,466,133,998,294,857,305,328,647,223,842,293,450,179,260,313,
673,456,138,329,021,157,331,802,695,036,613,286,118,612,932,277,047,103,444,
069,048,292,604,879,394,146,996,342,705,515,021,067,695,270,115,417,540,542,
372,466,607,804,672,265,186,398,943,036,571,356,701,391,183,840,960,811,679,
429,091,602,545,198,065,128,490,939,811,356,473,064,639,677,014,807,509,283,
415,489,001,596,267,828,240,734,343,492,418,526,862,025,557,482,221,815,629,
721,089,841,887,926,128,778,430,745,743,225,968,365,305,214,596,995,020,622,
736,257,415,646,544,897,755,526,665,863,517,137,025,170,153,567,285,270,660,
273,522,723,094,837,493,379,788,370,300,525,882,100,303,335,447,706,773,511,
529,658,568,559,891,976,083,141,339,147,643,426,204,904,261,153,517,569,322,
675,801,683,502,775,701,111,327,536,976,164,372,137,958,118,072,659,516,244,
975,824,199,891,127,901,581,507,652,647,549,209,307,057,620,372,006,772,982,
904,294,031,810,250,644,049,255,758,091,058,289,267,810,792,034,530,148,828,
516,415,127,933,265,802,932,859,503,173,495,484,130,828,020,743,049,220,111,
246,720,138,497,399,228,389,134,675,577,249,580,166,758,467,799,233,204,819,
542,276,324,798,301,456,773,859,428,396,601,292,759,876,445,652,696,994,299,
698,325,576,853,143,494,449,013,921,122,536,864,269,013,711,209,509,040,679,
475,972,499,110,356,872,379,537,251,833,891,725,765,346,178,240,215,600,993,
610,361,786,936,965,300,299,390,467,445,432,810,037,556,376,626,617,412,040,
584,537,234,663,130,671,117,370,178,131,651,483,122,558,627,765,979,148,102,
254,981,659,930,092,101,250,352,296,880,062,951,396,199,518,592,444,461,655,
696,818,369,235,519,806,315,054,936,819,135,208,854,609,647,827,718,638,269,
659,969,213,851,621,675,366,041,742,067,094,426,916,161,441,557,906,787,651,
567,443,065,601,381,164,229,802,780,276,287,588,232,938,386,992,120,308,421,
719,237,543,322,415,843,915,557,649,007,007,173,549,237,477,470,700,417,957,
672,052,095,950,433,234,900,605,127,030,233,729,798,788,325,960,300,605,723,
545,002,851,398,448,133,834,293,675,741,582,292,185,755,048,729,511,682,111,
624,987,076,470,214,741,389,035,432,869,315,769,641,163,926,520,836,164,769,
174,488,263,500,802,254,213,674,478,535,473,508,829,792,054,784,906,247,602,
888,519,266,254,657,631,533,317,977,997,758,319,701,745,511,470,317,956,014,
621,739,085,380,478,848,736,744,648,950,108,587,351,006,788,215,793,603,330,
400,011,070,046,162,609,249,350,470,960,680,247,992,696,110,340,435,168,077,
045,884,669,476,866,806,725,705,453,397,910,325,751,928,741,459,010,031,446,
453,598,131,942,389,270,071,683,567,566,631,661,875,737,988,870,806,983,398,
779,955,721,863,270,425,624,785,568,370,011,311,208,775,355,299,257,440,325,
351,612,841,923,467,874,797,196,455,975,011,251,914,014,268,750,202,500,472,
836,556,902,864,893,040,164,431,501,245,983,242,444,424,369,837,646,710,123,
831,070,691,660,616,619,890,925,960,765,896,213,024,202,752,862,744,095,616,
049,846,404,668,422,850,544,319,552,354,271,863,964,518,529,005,707,291,757,
432,634,896,979,449,762,958,072,290,577,158,384,951,513,396,512,543,421,186,
676,443,383,099,254,835,355,949,378,999,271,112,489,710,287,774,417,272,199,
438,490,582,661,928,428,798,247,540,225,463,915,614,303,627,387,077,083,490,
419,832,151,836,434,895,523,725,358,510,061,729,823,812,443,077,910,562,850,
764,506,641,141,946,414,955,582,912,191,152,890,012,832,948,619,753,321,597,
539,690,317,154,673,660,020,716,140,052,328,130,593,888,082,017,841,352,358,
414,808,480,303,435,718,396,400,031,401,967,811,402,639,191,357,232,065,001,
750,398,404,611,725,648,363,301,929,364,866,046,786,762,186,400,564,827,719,
215,677,803,643,740,746,444,697,351,582,706,717,844,770,085,584,930,621,924,
343,724,665,896,551,571,918,292,441,822,489,787,368,861,589,964,099,402,672,
625,154,236,044,039,826,801,014,112,172,066,285,307,125,376,024,949,100,313,
265,592,452,347,005,262,193,128,711,286,889,758,097,979,317,554,360,910,753,
830,595,746,561,106,550,947,949,133,573,480,904,502,493,797,281,257,799,956,
782,308,194,718,058,347,121,327,311,372,805,638,942,559,621,445,041,601,459,
708,919,892,659,558,896,590,643,627,072,298,661,562,647,864,610,976,584,049,
992,925,552,058,306,543,874,307,927,941,060,535,030,801,531,748,491,876,360,
028,687,580,522,766,313,619,972,396,783,286,693,720,418,080,351,850,971,669,
827,583,240,886,199,637,269,593,490,629,980,172,379,099,900,642,385,795,767,
352,635,841,899,579,971,827,940,674,805,428,614,121,586,566,642,149,857,501,
157,777,196,181,980,244,232,039,932,502,321,969,758,448,571,737,850,406,964,
090,918,857,720,341,199,507,684,767,731,531,304,594,587,977,528,560,557,970,
144,742,088,415,536,967,107,941,572,840,729,798,534,292,717,768,721,072,359,
326,318,431,362,120,514,371,919,653,740,459,328,689,771,073,218,313,883,243,
760,574,250,352,697,988,128,259,969,019,861,467,528,432,760,130,491,513,669,
250,920,910,796,133,283,042,143,048,429,748,860,831,245,831,639,841,121,016,
310,511,737,803,833,592,057,329,210,567,476,788,068,875,888,170,148,664,107,
144,478,747,670,857,351,805,187,475,978,461,932,986,203,553,610,088,828,753,
500,485,414,581,110,720,308,931,111,406,655,488,390,763,312,815,481,236,972,
462,331,562,689,717,037,969,883,085,129,575,746,468,538,605,987,854,242,970,
699,254,667,995,464,614,453,845,781,164,753,844,592,992,375,363,448,979,165,
898,539,298,618,487,023,890,416,425,434,955,301,037,241,910,205,400,379,177,
684,637,272,599,309,831,550,278,040,616,805,566,937,538,155,776,035,704,378,
927,539,921,826,333,678,392,814,242,865,023,329,546,807,661,104,481,275,686,
142,927,900,209,930,260,050,893,916,575,123,870,684,937,686,029,051,089,160,
614,619,982,943,376,645,782,027,366,908,679,257,439,191,252,271,927,308,378,
867,193,952,280,373,630,464,995,442,756,003,383,114,450,266,155,052,036,247,
770,786,662,092,528,896,417,227,647,272,670,275,530,342,453,614,133,246,947,
833,087,440,098,168,900,495,114,689,404,810,528,097,194,004,758,396,112,748,
536,005,759,136,352,570,029,599,412,552,010,066,895,550,761,055,559,400,794,
650,616,401,009,457,409,561,501,461,039,024,858,061,905,889,827,891,115,682,
256,809,836,446,981,278,324,839,576,804,501,632,260,644,755,420,239,283,665,
988,209,700,819,095,027,124,298,291,676,654,273,235,500,724,402,410,560,742,
307,184,351,866,193,307,595,312,868,891,776,092,403,676,216,654,283,714,368,
280,926,303,181,227,126,843,148,182,345,658,034,302,194,619,366,841,177,956,
686,545,030,573,749,160,508,710,953,774,534,640,160,505,464,113,242,157,364,
590,404,327,881,754,769,571,792,643,929,032,394,968,265,093,212,287,501,852,
679,536,220,021,812,723,124,699,205,452,113,251,549,323,866,859,572,247,253,
666,016,281,583,648,364,861,935,593,796,909,708,296,757,110,988,001,062,841,
441,979,323,767,722,801,942,674,949,537,563,050,490,940,960,163,863,120,055,
303,229,355,068,280,789,628,045,276,036,074,925,871,953,580,393,222,760,098,
671,905,327,808,339,442,174,238,934,710,848,775,218,129,285,739,384,880,087,
198,848,470,862,023,533,359,469,559,527,501,792,915,459,661,857,541,356,395,
968,945,711,263,943,759,779,414,560,462,603,226,325,842,450,006,140,263,190,
032,336,202,245,227,975,436,207,291,930,107,459,450,696,047,806,381,058,672,
892,005,584,429,055,707,456,121,703,451,309,099,650,928,599,134,827,814,293,
410,605,432,526,250,249,525,517,761,172,071,234,506,452,039,719,403,586,954,
504,812,534,289,188,487,850,393,081,965,229,249,493,709,213,437,989,787,730,
646,524,496,241,028,233,332,312,834,834,985,723,984,489,801,648,258,489,142,
589,403,303,338,628,741,875,447,794,058,063,809,709,256,325,662,026,714,767,
107,418,403,498,955,524,578,165,660,104,229,218,775,543,295,707,380,207,037,
852,402,221,212,264,236,093,238,195,888,784,159,890,709,206,757,848,444,874,
621,806,043,887,530,233,945,182,707,731,273,241,090,884,080,087,698,856,013,
756,574,891,691,149,875,135,999,695,764,740,304,147,493,215,395,150,775,955,
427,905,074,350,736,476,751,848,202,828,679,399,182,901,232,347,501,330,669,
000,741,904,137,870,279,318,658,162,592,471,965,514,728,037,940,330,079,530,
584,850,442,905,976,423,716,665,003,116,119,888,202,621,432,289,907,769,067,
106,890,291,237,476,853,193,735,533,337,029,118,719,767,712,744,542,833,176,
970,226,388,589,324,167,974,602,966,789,170,750,101,580,608,232,257,733,538,
230,543,297,570,095,997,637,020,159,049,027,930,548,628,898,209,076,747,277,
257,736,881,627,072,148,876,877,478,090,902,651,186,467,423,024,294,526,036,
562,573,190,206,197,732,207,640,313,605,195,324,528,872,135,625,870,718,142,
724,799,646,168,008,752,281,457,076,787,137,813,336,706,827,229,481,378,823,
628,824,272,521,779,481,439,011,331,765,280,879,233,041,971,729,193,224,590,
086,138,848,449,581,116,771,151,987,131,305,679,148,363,706,152,288,294,959,
305,475,720,818,360,545,795,021,060,729,899,919,652,608,903,477,609,037,932,
700,549,399,673,879,580,227,051,123,948,048,344,966,932,775,089,546,221,334,
372,080,527,340,838,643,774,405,086,234,741,628,061,663,219,257,861,040,494,
680,576,631,949,138,013,964,211,343,896,525,964,557,951,731,108,524,928,973,
570,259,780,115,635,899,774,769,454,067,971,526,179,325,259,945,349,809,342,
174,060,082,181,031,192,564,409,159,851,435,766,414,395,540,601,635,059,485,
529,509,792,235,281,482,950,500,859,855,987,675,494,888,954,888,345,941,686,
228,471,049,547,866,062,206,266,250,025,752,176,387,545,132,541,614,976,698,
630,183,074,459,719,807,428,428,354,838,150,747,993,596,894,300,764,174,971,
027,920,627,000,131,287,936,483,430,821,382,103,033,787,735,310,159,493,866,
968,220,616,739,258,852,514,211,113,878,201,468,049,948,735,600,269,344,417,
092,803,977,126,607,275,638,022,868,190,603,332,328,678,629,581,070,174,708,
284,770,643,585,699,310,158,263,969,520,672,579,493,932,061,791,968,973,045,
215,414,314,325,639,241,387,269,865,553,553,341,726,190,940,591,631,892,225,
852,676,262,168,323,215,991,516,062,541,690,828,072,713,752,529,971,471,531,
580,891,866,562,643,576,719,846,342,637,835,595,162,247,751,396,839,273,302,
269,908,541,235,810,018,978,913,860,211,934,360,017,790,072,866,251,215,569,
424,832,540,136,121,769,441,515,091,382,620,159,816,645,583,631,330,260,644,
550,076,449,082,960,434,697,615,707,287,208,302,614,643,783,254,961,282,204,
777,557,022,219,207,725,048,171,860,551,699,627,732,405,397,477,260,835,934,
078,951,354,437,183,171,325,106,070,879,549,572,142,206,676,083,661,332,913,
154,352,028,883,178,175,427,146,131,782,413,473,568,629,344,297,563,771,450,
792,959,563,338,728,982,709,663,412,154,840,513,678,545,295,566,217,373,196,
918,527,259,634,960,473,063,077,686,238,647,605,010,790,232,221,467,076,859,
440,883,674,880,753,640,275,850,527,086,045,424,465,859,972,272,465,283,295,
949,284,380,998,428,833,385,095,292,267,465,464,189,099,504,200,843,514,303,
000,663,810,446,864,368,580,108,383,388,708,244,445,206,255,139,278,073,249,
482,295,865,832,549,733,389,433,612,838,874,103,618,426,557,826,002,179,823,
363,129,127,668,694,161,830,448,537,300,975,584,749,698,063,479,302,249,781,
245,537,912,195,607,160,878,482,939,470,624,655,263,592,406,008,744,675,014,
136,985,034,886,362,628,241,183,765,282,646,115,678,469,395,632,370,144,089,
620,703,828,025,580,005,418,252,696,639,115,478,345,303,469,679,683,063,940,
400,936,770,680,945,208,067,201,075,879,228,896,189,998,977,821,786,872,160,
282,658,166,589,750,343,513,363,268,582,000,898,417,051,156,497,668,063,636,
420,211,771,648,574,327,510,663,604,992,147,082,791,223,391,726,223,660,288,
069,343,117,774,504,805,745,898,646,424,200,159,939,240,772,071,557,284,540,
797,765,548,827,910,951,252,513,235,847,704,335,312,663,696,808,099,928,944,
138,428,193,744,678,630,936,657,711,766,417,350,424,429,185,989,097,832,920,
927,953,804,736,029,626,914,053,715,145,196,716,687,869,040,700,411,107,622,
258,093,518,662,001,892,781,004,846,493,361,641,618,852,221,439,282,137,294,
263,901,273,411,693,893,737,840,148,905,586,387,187,181,115,810,886,742,973,
494,870,100,084,465,465,706,988,699,704,948,743,931,163,978,899,810,523,698,
499,887,190,841,367,916,068,604,507,395,416,860,332,361,849,586,340,237,143,
466,461,215,289,772,417,675,963,452,011,976,919,793,064,062,413,444,981,089,
329,897,317,349,475,901,863,857,933,981,621,516,827,866,288,963,014,844,578,
091,388,214,077,934,963,226,622,094,964,480,309,665,373,738,823,147,006,110,
665,107,152,979,896,948,934,484,472,271,518,466,842,470,550,773,906,240,774,
282,544,500,647,418,121,176,193,099,092,437,630,678,146,089,165,842,941,663,
643,163,519,014,444,343,990,730,884,760,081,181,873,095,062,106,985,140,399,
662,227,632,507,492,177,206,442,331,141,465,875,711,200,251,752,758,898,284,
918,561,474,793,812,977,512,566,638,227,370,319,245,116,797,743,803,062,728,
831,313,681,143,564,940,848,113,905,594,061,563,782,399,318,821,028,474,962,
505,929,243,673,957,594,819,975,123,895,044,800,429,163,314,569,202,694,605,
625,889,706,754,757,362,990,428,083,868,339,954,165,202,856,925,325,624,225,
267,542,772,291,650,857,464,348,675,764,889,728,773,352,861,823,516,736,447,
129,640,913,477,669,220,282,979,714,700,319,448,318,176,845,279,407,283,942,
878,023,694,057,387,376,398,622,895,250,767,266,402,999,861,095,249,705,064,
776,729,120,705,569,845,048,882,265,934,639,081,720,057,600,768,234,607,705,
350,876,700,244,136,505,361,420,333,545,973,056,513,341,705,096,934,253,036,
203,455,791,405,677,669,175,931,440,999,556,984,682,066,780,769,085,503,664,
362,378,540,376,428,603,284,025,220,358,057,929,980,859,051,882,667,436,986,
766,991,297,897,791,133,793,101,995,648,178,658,329,662,849,654,757,206,916,
964,038,473,967,598,950,370,258,345,172,681,276,466,235,626,436,559,880,306,
373,633,217,343,862,797,079,693,011,603,777,564,092,146,633,989,190,185,036,
147,226,632,288,002,857,975,145,177,930,512,612,431,989,074,049,137,456,962,
248,173,486,726,354,160,206,977,905,026,165,544,302,745,776,613,066,000,393,
165,855,558,783,636,341,143,159,178,212,505,305,271,530,461,840,654,597,213,
387,921,606,158,870,964,742,824,935,184,756,048,992,541,655,925,820,001,586,
387,433,846,713,845,623,376,326,223,932,031,525,056,785,011,225,506,624,148,
012,676,048,237,491,417,628,480,839,258,063,326,391,697,398,512,870,724,090,
669,967,084,510,471,590,610,575,014,325,661,452,236,437,756,297,928,834,565,
446,732,838,093,562,862,966,196,416,188,433,087,667,652,357,429,441,688,134,
520,334,133,817,368,430,597,528,031,232,549,798,548,002,356,385,233,104,395,
860,454,150,647,752,080,302,009,242,127,719,065,259,163,293,883,164,735,277,
286,194,530,911,575,307,017,362,814,100,767,527,918,042,726,765,705,583,334,
557,516,770,994,630,119,864,852,766,775,714,298,198,748,172,986,351,267,372,
926,422,297,584,122,997,789,754,600,359,171,811,435,228,335,856,335,727,903,
644,698,442,481,867,168,741,219,688,101,356,041,883,907,617,555,640,380,004,
564,232,405,947,516,574,799,510,597,247,594,543,250,428,252,876,909,654,357,
333,816,304,437,427,178,339,121,062,445,203,298,604,147,741,687,495,229,016,
506,368,112,594,872,758,726,350,459,987,535,940,139,095,098,268,953,228,423,
897,809,973,689,027,688,313,667,294,628,815,532,251,330,993,400,328,374,357,
731,812,401,059,697,729,483,113,394,737,574,805,511,343,523,829,495,042,581,
224,504,983,729,379,137,685,753,832,690,231,812,923,079,308,375,386,126,495,
772,999,932,770,183,543,240,150,233,909,230,333,754,579,831,236,517,618,913,
296,661,102,927,656,991,944,325,468,895,056,869,583,695,237,011,325,309,145,
951,773,538,396,050,091,512,830,920,682,354,508,238,256,426,074,749,873,920,
112,810,779,023,956,191,183,808,425,084,143,185,626,982,138,912,134,624,707,
613,651,757,632,289,730,774,342,772,881,850,903,345,837,744,103,019,083,343,
985,926,918,602,636,288,238,090,281,179,415,857,318,437,980,260,776,980,081,
920,322,102,390,343,182,736,761,862,514,038,766,785,727,826,579,309,088,228,
218,033,900,235,480,313,567,348,900,144,276,958,455,719,049,011,197,032,046,
317,869,004,673,584,447,011,105,001,329,099,628,871,454,067,056,952,003,009,
997,647,676,112,284,664,853,362,991,878,601,759,535,745,429,171,390,793,580,
672,175,635,987,113,972,129,029,886,653,657,329,986,373,748,721,311,759,103,
392,172,049,425,104,966,409,716,640,118,371,512,452,071,171,989,305,147,257,
856,535,799,315,750,592,287,927,465,082,193,353,418,463,712,839,580,581,063,
417,303,013,955,397,905,655,389,351,412,003,344,326,643,102,692,799,683,023,
080,865,192,831,181,283,200,666,489,250,134,107,047,662,077,430,516,430,451,
353,120,251,551,214,512,809,959,279,995,438,131,641,923,655,311,863,379,363,
824,069,523,422,304,925,669,175,487,054,404,965,596,226,689,330,781,474,747,
823,055,403,718,037,538,016,543,435,226,370,468,531,796,703,264,990,857,391,
672,032,425,294,344,678,709,245,322,658,385,694,770,697,360,234,112,164,996,
631,305,047,109,794,092,238,653,982,344,689,512,184,882,032,985,726,829,084,
034,831,596,148,021,358,240,454,210,725,775,906,110,971,624,981,988,264,950,
529,653,844,722,545,814,456,630,454,870,270,922,849,120,902,280,373,467,549,
816,778,979,662,800,365,545,658,579,856,317,439,681,031,176,172,320,649,640,
340,492,674,133,345,987,001,136,125,974,016,457,894,478,091,177,916,843,000,
336,648,090,548,629,828,329,960,410,237,263,202,091,445,412,876,113,884,094,
524,860,116,177,421,182,280,584,559,751,219,726,037,137,932,228,799,059,864,
859,344,593,639,775,892,938,753,642,452,350,894,581,478,271,217,744,129,658,
332,172,624,882,720,443,191,637,610,331,704,480,661,614,413,070,755,311,617,
132,542,066,213,004,290,571,411,727,488,108,783,673,502,117,932,515,595,673,
232,719,580,184,624,016,294,843,684,997,178,561,936,442,692,581,219,421,675,
949,179,280,739,461,529,113,894,761,118,137,005,077,966,677,830,573,085,880,
782,417,571,830,147,723,787,755,952,067,890,114,140,039,218,675,881,678,331,
023,443,028,271,776,021,725,377,837,595,020,562,302,859,576,801,799,041,487,
708,592,925,103,399,462,021,504,541,757,116,432,454,901,887,950,745,316,909,
342,647,131,119,829,919,004,322,170,798,852,639,484,845,830,899,861,796,823,
393,544,419,390,510,842,536,066,517,188,146,376,716,366,327,262,163,228,303,
237,021,964,741,651,364,569,731,356,487,515,908,611,707,639,290,478,352,777,
609,440,971,628,200,245,551,019,763,326,149,839,473,023,577,114,114,412,836,
512,371,471,797,309,728,374,930,403,884,071,703,043,496,780,785,415,000,382,
702,034,185,690,606,986,967,754,672,500,391,115,230,858,288,207,104,068,079,
183,440,710,451,287,496,494,016,925,593,003,886,776,194,434,250,595,111,653,
812,657,750,850,709,218,211,538,172,184,613,274,324,517,609,831,443,792,319,
848,164,653,705,868,072,077,224,883,523,206,301,840,025,893,692,239,536,502,
683,683,752,142,086,377,944,999,984,331,953,290,601,352,051,883,237,580,970,
209,521,262,837,512,892,728,169,141,448,490,637,341,426,342,235,716,346,336,
917,024,501,647,520,748,684,771,449,218,454,674,174,377,134,038,036,406,801,
165,247,226,534,456,795,187,401,399,457,245,164,252,900,863,896,456,016,679,
085,360,312,383,057,741,870,096,238,165,786,687,700,381,150,702,938,123,404,
194,438,938,301,894,965,562,067,889,840,937,610,969,072,834,556,480,152,985,
152,510,382,518,620,765,646,420,185,152,592,418,972,772,403,120,095,271,268,
031,944,015,556,417,871,266,923,911,617,051,313,886,447,637,864,809,476,397,
419,864,902,778,843,695,534,091,719,747,785,794,981,460,472,781,444,848,538,
853,954,638,322,119,842,560,324,990,047,647,468,050,611,375,348,246,791,949,
288,122,233,148,933,947,075,055,979,452,885,193,682,538,847,591,380,464,473,
087,535,691,071,288,767,752,143,929,509,900,982,181,619,061,992,009,616,678,
684,939,882,027,229,744,646,307,124,827,600,193,723,052,398,121,191,441,840,
493,193,565,084,651,313,181,507,371,317,629,697,093,127,166,057,934,364,122,
757,508,782,454,441,571,207,180,949,062,050,400,472,813,005,416,715,871,175,
977,461,771,576,089,536,493,078,428,313,820,742,974,522,709,856,010,424,625,
933,306,142,173,788,820,906,383,252,944,204,413,563,575,307,593,388,860,116,
333,772,535,515,791,994,989,120,981,011,137,242,539,894,256,818,079,526,474,
894,751,879,331,719,825,071,893,025,360,074,764,441,130,785,391,271,203,401,
462,458,433,379,311,737,632,468,016,420,456,624,054,873,606,264,034,653,727,
758,499,182,002,885,258,057,617,008,329,521,931,738,498,444,341,717,996,324,
863,948,177,035,056,317,303,450,754,339,316,239,662,881,533,053,886,115,393,
311,181,935,775,580,198,782,533,911,842,297,218,468,034,401,181,383,717,900,
280,884,378,326,830,490,004,962,752,326,653,541,419,553,746,860,420,441,067,
994,992,644,216,706,834,154,049,840,616,469,953,798,636,440,171,044,996,041,
368,971,870,011,293,088,739,316,619,613,708,864,288,900,951,227,830,469,577,
885,323,482,397,136,678,044,185,574,788,145,792,872,252,849,593,778,640,315,
972,639,629,261,986,284,668,803,852,308,875,457,805,637,930,785,237,512,189,
175,561,289,112,965,319,040,399,079,207,857,341,862,723,736,379,723,158,084,
880,289,633,164,884,842,896,019,443,111,489,250,313,606,428,011,382,006,553,
279,018,224,214,408,669,396,150,067,243,823,483,517,410,701,012,775,643,708,
093,836,399,513,188,098,985,351,669,196,399,317,808,771,687,706,514,678,198,
411,905,890,905,700,877,056,043,446,666,389,203,269,613,111,272,472,081,898,
475,569,067,779,223,820,126,043,597,875,282,920,660,105,409,752,236,672,317,
124,325,569,892,395,260,610,459,993,666,424,840,862,841,253,198,245,400,668,
047,199,895,272,129,239,877,519,896,689,060,039,589,930,715,609,172,798,415,
755,463,570,646,975,336,054,282,249,016,180,627,963,519,559,455,658,938,114,
834,595,250,496,407,831,684,905,205,511,729,634,691,769,245,427,482,128,541,
873,190,070,524,146,806,906,656,451,112,131,734,191,062,853,108,842,882,661,
894,554,941,305,043,835,186,987,505,788,641,358,914,370,518,115,896,902,608,
887,250,417,602,380,917,363,447,651,330,956,386,977,321,461,014,099,797,979,
354,662,887,321,838,505,407,225,045,669,472,901,682,152,805,113,138,472,415,
240,011,743,736,942,094,280,403,216,506,321,054,729,501,652,852,601,183,573,
666,657,536,380,537,042,095,255,821,548,516,002,469,795,938,626,812,662,581,
348,626,496,571,501,711,916,056,397,331,061,357,734,727,233,079,014,982,831,
113,371,801,422,207,957,874,060,019,270,427,891,888,359,905,294,117,008,891,
267,566,727,328,544,111,380,738,834,449,233,932,483,462,339,374,154,211,387,
446,493,965,912,169,566,046,969,711,439,694,890,108,661,276,576,580,759,718,
910,804,275,970,864,800,007,338,490,787,547,434,098,277,453,816,456,655,209,
609,941,500,942,708,509,062,370,241,540,361,318,939,735,882,703,559,466,330,
260,200,033,531,475,001,498,033,577,055,754,005,353,205,221,813,467,075,962,
238,359,865,458,118,686,801,709,864,458,532,767,600,538,394,272,503,112,257,
868,166,219,072,441,767,581,313,047,226,318,919,404,208,771,448,699,724,571,
981,337,154,225,177,888,565,235,865,297,486,781,230,903,204,790,510,299,026,
609,084,958,327,095,965,107,729,880,451,286,740,898,049,819,745,541,082,433,
247,577,556,208,065,814,542,886,306,985,891,917,797,120,882,612,763,583,271,
630,833,048,699,632,530,050,287,511,277,082,232,440,835,720,628,691,319,468,
664,630,935,002,549,965,082,253,601,522,766,220,744,408,847,450,112,193,447,
062,239,189,418,774,476,685,861,456,315,009,901,526,959,299,928,866,888,004,
682,267,592,392,386,002,832,895,929,235,677,805,301,694,561,211,927,996,009,
373,053,679,778,080,545,084,020,530,398,189,557,638,957,932,803,111,803,880,
468,467,577,202,692,052,900,556,631,017,156,205,505,708,995,039,720,144,623,
738,297,509,447,928,564,136,312,511,522,483,421,126,897,867,075,830,225,259,
652,162,878,003,301,241,328,096,550,920,420,773,943,962,602,278,068,862,026,
008,845,897,272,315,732,171,729,330,525,474,903,255,741,494,981,586,082,939,
607,683,755,462,870,417,421,242,000,335,254,846,432,977,821,491,695,557,771,
296,720,494,170,070,128,745,596,971,830,374,347,508,709,169,249,330,582,764,
202,290,713,484,866,427,160,746,190,298,604,585,240,247,323,164,577,681,574,
114,042,357,155,466,172,408,222,418,089,061,968,884,002,507,821,177,439,645,
680,359,643,953,696,702,042,871,994,490,792,122,102,328,379,439,837,831,636,
299,000,494,271,860,810,837,748,262,929,219,651,405,192,989,623,453,503,782,
219,637,981,280,564,931,452,129,337,156,799,481,830,302,858,130,395,111,798,
185,989,942,344,080,285,268,059,809,142,344,606,406,769,876,012,823,408,453,
646,213,204,945,749,360,002,745,652,227,899,397,220,671,891,384,070,039,167,
506,658,032,598,750,617,931,225,049,833,191,818,226,528,774,855,056,932,586,
560,216,372,281,275,063,663,113,944,926,242,600,734,673,981,448,296,853,171,
856,728,179,924,314,885,616,688,036,963,390,641,464,821,094,167,742,058,631,
381,189,642,071,268,378,317,463,844,965,444,119,874,586,752,135,444,177,456,
861,833,951,880,044,161,719,932,188,108,062,107,400,381,619,519,148,650,989,
703,307,318,675,440,228,880,357,674,944,593,404,265,976,103,670,470,581,458,
532,175,438,496,648,112,081,777,100,939,151,669,117,134,343,945,199,687,287,
057,879,772,097,537,017,382,957,725,068,543,901,766,785,307,724,083,295,887,
450,030,930,568,919,570,236,136,706,582,487,625,867,705,108,142,800,011,123,
321,547,049,254,685,940,105,188,709,791,658,157,027,084,804,943,320,596,498,
911,500,656,593,991,358,679,147,469,250,109,539,247,402,593,852,958,016,695,
795,340,607,545,797,378,404,980,425,715,777,845,156,120,270,213,058,005,566,
173,066,782,031,353,178,019,278,370,447,451,171,373,948,388,239,680,914,314,
179,455,432,988,221,827,546,774,448,650,139,924,330,305,867,907,227,958,692,
875,426,998,288,618,204,487,731,835,445,990,168,572,732,873,779,703,704,715,
969,448,233,269,479,383,370,805,002,371,322,452,226,008,958,462,310,202,806,
771,678,628,388,436,818,468,750,019,312,912,338,863,700,462,111,586,218,084,
798,809,661,859,146,499,830,865,091,201,535,908,115,207,042,265,066,237,789,
767,720,280,889,880,029,217,729,488,013,722,918,640,726,274,574,142,981,808,
711,643,786,272,223,425,179,801,367,333,253,899,935,072,033,393,374,689,986,
512,027,657,707,254,563,847,419,722,473,192,382,839,763,952,553,672,009,807,
619,502,812,000,883,724,537,691,165,385,116,535,643,466,653,300,404,104,938,
505,375,175,710,054,554,036,622,916,477,328,286,916,073,151,919,345,859,444,
841,945,399,513,078,736,333,283,697,583,833,159,363,955,891,515,419,249,726,
358,178,261,326,143,982,011,818,726,612,527,050,625,505,624,791,985,460,510,
155,167,026,190,441,828,966,512,057,436,519,573,884,613,705,781,813,266,014,
061,671,943,041,512,584,440,666,076,190,182,374,547,774,027,141,458,752,391,
471,636,972,496,800,640,965,537,368,749,059,976,878,718,518,527,187,753,288,
209,451,509,388,481,347,399,153,770,299,429,499,031,110,772,360,891,868,950,
019,407,222,782,228,443,707,454,755,334,549,924,795,730,620,787,847,820,860,
252,178,946,966,427,588,692,468,720,129,086,217,394,675,525,504,200,379,876,
233,114,093,951,932,556,458,364,574,106,945,802,237,997,856,125,545,172,164,
018,929,250,720,328,866,952,084,281,678,261,113,262,913,708,776,066,338,260,
003,387,687,540,546,232,915,364,737,405,732,371,602,680,212,021,381,076,615,
125,422,997,930,593,105,950,604,129,164,549,695,636,189,855,008,993,878,546,
758,033,096,141,372,987,545,418,432,079,778,995,495,699,179,270,478,668,094,
106,312,674,277,546,834,003,698,613,654,721,221,364,410,996,471,808,010,760,
864,863,239,723,806,058,373,871,626,367,637,016,443,311,552,362,837,076,140,
415,313,797,904,797,077,455,551,940,186,947,121,061,626,340,728,445,610,510,
556,802,397,694,823,713,751,031,282,799,142,032,141,512,578,962,156,475,402,
309,556,156,285,992,220,678,430,792,946,760,347,862,124,797,319,320,982,111,
876,274,616,281,633,126,735,544,562,883,896,543,046,185,678,145,199,395,405,
348,458,678,288,619,236,432,137,192,966,262,160,521,835,408,459,428,644,220,
918,443,120,850,692,701,423,272,994,133,300,681,293,326,532,633,791,694,319,
755,871,213,264,608,524,355,198,034,836,097,272,622,476,472,656,783,851,363,
866,655,403,881,223,089,166,865,048,245,741,687,937,090,675,356,007,025,168,
832,291,182,047,685,328,431,201,694,155,782,162,113,718,407,085,899,902,934,
454,483,376,761,442,773,966,799,293,706,729,598,818,711,118,136,095,649,748,
894,448,732,530,739,939,456,342,236,411,511,969,426,062,880,467,346,945,063,
951,325,064,930,916,804,595,751,206,261,881,099,982,682,350,259,119,222,726,
388,475,841,399,747,536,378,666,463,164,437,174,147,430,955,974,209,186,564,
778,752,712,057,132,581,316,677,803,626,737,690,891,514,652,090,360,867,655,
740,364,801,772,809,034,270,351,683,549,222,562,468,831,964,714,221,456,240,
653,933,275,418,047,806,994,457,058,500,045,884,258,307,153,093,915,425,184,
144,596,699,831,710,972,993,879,057,557,837,108,823,980,536,718,332,004,628,
396,549,432,038,937,231,055,888,737,626,972,061,089,295,635,250,895,105,971,
413,956,924,937,957,770,574,099,017,996,918,254,093,551,221,558,081,746,463,
201,893,543,420,168,059,441,652,392,814,962,692,677,909,355,052,458,523,603,
383,109,789,241,547,076,448,560,228,225,924,703,937,451,544,954,147,699,707,
196,998,786,245,338,672,565,499,707,225,007,518,200,417,942,496,958,638,813,
725,211,590,194,195,133,280,138,003,582,039,873,824,650,323,658,694,189,136,
000,075,076,166,762,370,943,953,039,763,070,760,597,540,993,191,498,521,551,
428,832,658,092,622,186,716,121,935,791,591,503,617,135,666,866,548,178,690,
498,681,654,032,745,043,599,743,024,597,838,269,973,912,722,097,078,477,820,
479,909,491,492,769,160,923,906,025,584,087,903,821,130,711,983,151,701,063,
268,115,829,005,270,340,544,543,863,148,779,642,872,044,235,793,560,129,346,
325,628,254,437,515,807,505,722,039,887,785,533,315,151,475,634,388,358,337,
611,395,683,998,310,013,674,729,217,815,764,224,474,619,027,921,084,758,853,
254,082,743,632,736,854,979,923,322,294,253,370,082,416,338,076,878,208,504,
660,951,150,799,769,193,868,712,937,408,471,880,946,445,784,228,383,232,116,
239,200,714,289,176,758,665,849,297,768,382,180,370,802,949,614,833,925,673,
727,842,293,458,005,672,509,145,990,758,492,541,618,767,250,964,382,401,638,
640,448,978,036,002,712,167,698,981,708,158,732,483,552,475,448,234,685,717,
610,972,802,215,265,121,145,982,288,240,000,196,209,791,662,089,601,207,340,
871,674,440,620,782,553,743,405,014,139,709,570,602,155,154,731,148,109,803,
675,549,245,071,687,822,470,979,077,097,825,560,940,502,145,863,067,071,115,
734,897,636,501,600,558,364,211,001,068,834,368,907,687,382,327,846,286,838,
088,855,027,513,345,605,231,004,822,336,235,744,265,284,297,058,817,131,228,
840,544,286,288,976,875,942,861,423,573,961,479,313,912,067,103,169,999,057,
564,133,886,284,266,904,178,559,952,365,517,495,713,721,755,716,415,093,871,
911,567,015,627,675,417,562,097,097,568,654,168,856,054,183,611,228,425,314,
151,783,649,440,525,326,573,280,148,324,049,967,062,352,140,390,625,052,058,
002,442,469,050,185,618,506,839,097,432,328,897,030,368,277,289,791,660,106,
628,364,832,962,018,305,963,767,322,512,171,296,819,582,110,190,579,002,235,
861,045,919,505,087,498,554,851,581,597,974,121,321,231,927,153,510,247,617,
336,774,190,698,640,929,321,225,407,802,611,143,145,337,159,812,002,706,645,
176,111,569,714,806,745,194,587,791,955,098,739,635,696,273,102,168,674,708,
355,652,632,622,188,976,038,832,069,358,954,153,826,793,457,584,605,937,008,
016,041,730,774,565,491,269,528,283,378,584,492,807,838,014,636,810,583,905,
024,599,604,372,379,362,850,826,242,755,303,484,450,192,176,129,387,228,583,
720,710,216,853,316,211,288,084,890,018,488,378,411,712,517,929,707,740,150,
195,695,437,755,393,485,341,540,607,567,887,749,554,590,669,119,930,522,793,
645,769,096,058,351,187,969,259,955,316,279,979,795,488,868,144,097,897,253,
979,248,780,483,324,622,474,296,676,574,294,184,073,228,980,777,459,491,734,
213,409,796,977,775,868,501,394,984,832,402,894,583,077,344,659,375,304,644,
104,859,927,144,627,593,850,580,313,496,393,825,627,674,835,248,473,740,217,
009,859,508,545,881,700,236,310,428,098,989,548,685,553,037,200,815,149,739,
547,282,801,251,585,763,205,193,622,364,749,362,739,588,862,560,130,363,584,
743,947,161,435,237,879,288,174,281,465,222,834,694,424,747,934,357,009,665,
196,199,597,575,035,308,756,193,897,333,427,565,827,714,004,793,223,562,798,
838,699,460,517,054,512,818,079,216,856,850,754,537,688,262,759,001,901,623,
153,128,321,761,104,168,840,881,328,824,278,299,411,184,049,084,648,464,651,
366,527,354,914,318,492,731,357,381,836,711,452,499,029,673,448,482,110,204,
554,841,783,241,559,497,507,225,504,618,526,972,609,534,391,787,072,380,036,
277,586,152,360,834,001,931,379,550,871,493,993,447,166,900,486,530,718,215,
782,045,993,133,286,799,644,323,666,837,954,574,377,069,493,172,102,932,408,
474,189,007,589,238,800,864,793,817,087,961,487,718,066,084,527,513,028,274,
137,208,644,077,640,008,052,048,643,157,396,596,437,653,351,321,108,232,401,
241,007,421,079,830,861,210,148,632,044,382,379,193,234,316,165,483,781,032,
822,728,939,265,304,786,111,379,570,329,248,015,725,422,724,922,207,062,277,
420,625,348,579,869,867,525,320,085,427,082,541,513,520,794,851,320,874,746,
458,436,876,728,135,502,371,310,038,252,731,460,071,977,689,148,653,806,912,
661,391,090,921,195,061,509,905,707,547,278,401,708,966,408,971,329,613,323,
304,424,931,716,215,322,404,235,292,084,461,598,897,133,931,359,238,661,077,
010,763,922,198,339,622,435,660,145,527,533,710,345,753,739,235,291,232,870,
254,618,789,868,028,871,393,937,859,118,441,677,353,668,466,451,873,732,620,
765,943,394,829,542,629,873,201,268,668,733,700,741,796,968,354,200,769,526,
992,299,906,659,712,582,140,387,902,686,017,159,780,750,185,412,060,559,361,
158,439,732,283,971,515,144,224,233,774,774,156,508,542,777,551,402,197,285,
397,013,626,791,668,364,466,488,951,507,229,156,334,716,139,158,748,218,219,
849,995,468,009,481,157,347,525,681,351,028,516,668,413,934,807,411,757,193,
017,976,278,441,181,401,952,446,011,167,217,194,076,913,996,405,756,575,762,
232,473,396,424,153,967,630,246,308,840,882,570,833,879,266,038,719,180,606,
962,236,073,858,771,185,900,548,999,451,829,465,528,980,850,608,684,633,908,
048,584,036,205,332,752,460,307,017,040,647,121,401,722,039,343,365,539,406,
596,633,958,676,395,488,685,972,665,589,843,305,109,393,493,495,516,748,437,
489,714,451,099,913,590,667,754,775,899,728,135,904,132,658,683,570,014,060,
079,264,335,100,633,282,204,345,101,574,285,423,277,678,932,161,246,980,558,
412,710,297,144,501,802,846,322,383,474,844,135,732,292,100,824,815,638,417,
053,135,784,396,594,231,054,696,134,750,143,344,965,954,920,475,237,184,363,
368,777,594,905,945,006,356,355,620,633,562,893,136,302,568,918,479,310,443,
304,334,243,461,718,149,705,934,739,085,428,225,493,861,008,343,253,566,581,
129,649,706,750,850,297,637,633,379,434,919,756,915,596,440,810,674,064,962,
728,439,095,270,048,048,986,166,994,119,272,060,065,659,090,037,961,748,136,
660,683,326,572,156,690,424,829,155,884,768,681,499,952,090,580,558,380,769,
268,762,501,868,140,124,065,945,274,221,326,931,081,322,772,686,048,253,499,
722,345,353,696,474,933,410,271,444,335,182,130,651,239,931,972,966,097,937,
747,311,498,773,119,260,183,892,523,100,534,588,421,155,268,306,436,552,499,
887,265,997,335,478,952,562,606,309,865,337,935,448,124,468,321,180,668,687,
474,799,275,849,217,878,779,653,081,934,991,103,156,941,908,236,879,209,120,
857,484,293,373,387,743,494,212,410,708,074,299,356,867,090,044,784,598,607,
772,415,458,345,966,760,812,060,579,043,671,957,797,941,339,370,053,601,542,
395,785,972,823,405,192,495,224,970,556,689,433,695,009,231,265,491,062,476,
182,987,576,442,718,525,442,755,450,265,421,913,810,287,977,118,342,426,334,
877,680,658,478,783,337,479,588,256,916,018,865,821,223,958,236,782,585,615,
868,071,751,384,390,194,707,313,279,374,502,933,870,759,435,794,055,416,721,
147,334,561,448,389,914,077,315,257,547,618,144,249,138,217,121,788,380,127,
934,828,749,322,378,515,904,820,758,817,028,731,820,149,872,506,784,211,000,
518,144,207,198,568,783,097,496,805,274,936,418,089,299,310,785,569,897,667,
655,196,612,234,183,230,573,337,394,874,108,921,819,984,768,735,089,484,404,
395,679,208,552,567,924,027,068,562,460,143,725,723,245,167,242,021,465,762,
433,146,067,794,497,205,957,353,476,349,358,387,664,455,250,380,097,031,219,
804,103,626,202,995,725,991,858,857,107,823,474,676,352,515,582,764,095,422,
852,715,195,459,196,782,101,800,046,725,664,856,169,053,780,182,426,164,487,
079,680,934,064,166,526,375,559,191,175,003,758,620,461,654,287,097,187,951,
062,419,952,760,395,332,635,877,147,114,125,871,378,793,020,279,165,938,076,
250,874,372,061,048,979,376,707,398,178,365,557,881,337,736,698,313,023,120,
444,854,324,686,182,732,143,352,382,747,526,456,636,529,885,668,583,536,256,
748,091,178,391,645,656,395,723,157,649,406,630,599,308,536,058,643,621,808,
606,053,845,966,344,029,323,422,637,510,985,078,098,336,402,948,663,613,237,
086,220,532,840,218,883,647,428,461,277,377,700,515,201,560,754,971,188,910,
851,898,170,347,903,922,263,521,696,619,151,392,972,556,294,298,033,874,354,
746,875,747,372,527,829,611,244,925,598,025,629,252,195,343,876,398,017,517,
018,553,850,577,399,528,568,239,938,182,879,795,749,591,156,221,852,691,465,
387,314,028,857,811,673,220,553,469,686,354,343,117,960,423,976,752,311,365,
528,216,476,527,100,809,948,166,018,829,969,520,591,232,145,169,409,389,026,
312,860,935,661,752,182,508,864,665,240,298,751,879,159,816,323,346,259,115,
109,248,257,797,790,759,283,542,653,900,048,102,172,180,128,854,994,033,937,
382,132,697,380,318,923,877,487,413,245,154,976,611,938,410,746,427,009,905,
694,021,637,064,638,750,888,360,677,287,046,597,118,321,085,262,667,261,735,
551,782,775,857,215,867,795,082,383,427,007,333,785,464,337,715,848,647,999,
059,217,247,594,845,048,269,510,702,145,895,604,956,402,634,770,261,966,608,
512,713,844,473,137,436,828,105,762,921,441,118,651,318,369,991,257,455,544,
536,934,090,450,013,024,725,387,020,242,021,752,930,910,196,494,186,041,866,
678,685,211,488,167,462,259,094,885,333,484,092,988,165,383,488,362,513,529,
322,147,403,881,176,561,810,412,849,813,366,149,097,913,903,974,298,410,834,
685,739,452,985,521,808,020,181,230,507,416,906,334,572,950,584,035,728,597,
242,078,504,915,864,896,528,389,475,119,489,271,625,941,126,132,622,861,588,
442,818,273,367,221,753,354,467,057,776,044,315,400,280,127,757,989,549,383,
323,149,271,566,272,511,034,382,987,109,255,636,265,516,095,411,434,110,589,
243,760,134,698,760,601,290,401,280,312,754,885,059,691,272,665,348,613,603,
333,584,167,185,731,946,028,717,270,665,277,500,487,899,555,991,270,378,227,
809,335,512,398,770,174,992,647,598,551,988,516,095,632,271,821,974,787,866,
091,017,695,990,271,395,803,523,432,834,361,988,245,537,831,149,795,454,335,
191,298,734,643,977,781,795,896,936,245,562,900,282,717,434,313,829,955,891,
202,696,366,849,551,457,213,175,738,515,707,112,749,619,985,809,059,292,921,
062,381,238,794,790,178,538,092,299,268,423,259,221,616,107,453,156,505,307,
586,083,927,842,091,492,451,612,232,702,258,747,122,527,566,390,453,264,828,
936,907,660,392,541,599,332,801,509,528,217,948,423,845,620,261,155,169,481,
130,334,290,718,555,534,504,670,920,489,697,540,120,515,376,431,656,430,175,
062,565,580,488,549,521,345,697,449,139,792,319,879,126,633,099,441,366,267,
192,201,364,619,673,802,885,351,879,991,205,690,939,781,623,055,540,144,194,
238,768,536,690,695,700,747,562,250,617,037,623,655,988,893,267,305,756,864,
557,713,344,998,680,374,200,694,601,587,242,127,920,370,624,117,049,651,811,
003,736,368,545,350,326,715,622,463,589,152,930,074,890,018,177,441,051,258,
740,816,858,017,150,864,180,947,193,655,405,699,362,951,621,522,372,314,065,
644,163,502,385,696,430,974,615,311,913,687,036,704,628,902,949,766,571,480,
025,351,372,587,439,864,523,457,727,825,242,986,641,299,311,113,273,323,072,
903,259,067,930,666,743,596,528,465,099,800,103,556,670,760,635,239,679,212,
994,515,574,844,593,179,489,988,899,757,083,112,349,505,640,663,977,011,464,
963,872,523,560,235,698,154,102,105,451,813,639,086,321,081,633,321,511,852,
033,675,476,906,868,896,994,097,262,379,667,390,882,000,300,566,837,546,813,
170,537,745,375,814,778,802,269,780,575,912,893,200,643,587,381,064,583,371,
124,574,140,508,566,582,429,412,782,541,293,849,648,257,015,577,310,518,013,
883,502,795,404,963,287,249,409,758,415,202,727,370,043,965,953,123,051,422,
503,369,722,315,155,310,521,379,272,414,740,800,376,606,333,593,312,133,759,
284,312,730,914,328,188,138,048,738,527,348,778,446,784,584,150,648,997,139,
966,838,182,034,811,168,108,902,831,168,747,685,340,910,975,148,762,168,966,
387,599,669,260,026,409,959,590,712,223,465,001,213,598,192,330,078,732,456,
964,525,605,246,464,997,080,374,352,232,199,604,687,074,350,946,457,010,343,
760,907,912,851,697,904,182,676,404,100,977,838,691,506,372,249,497,897,060,
168,645,811,399,042,644,437,660,507,891,210,863,907,020,160,173,178,944,846,
208,773,205,746,211,974,341,257,110,301,629,168,372,824,809,267,775,190,876,
225,172,775,641,594,631,410,347,400,474,221,158,776,374,946,456,454,700,337,
531,638,000,507,373,408,010,705,716,913,803,422,238,576,737,371,351,903,055,
719,071,347,564,834,447,714,358,978,662,687,983,122,595,207,278,223,795,745,
772,097,627,632,614,842,182,463,455,410,016,715,698,895,875,007,024,911,063,
175,664,108,489,474,427,777,128,327,265,032,202,955,018,865,565,683,832,392,
302,089,564,262,408,530,074,504,758,196,444,425,893,535,980,251,651,215,871,
237,086,878,365,396,946,796,254,895,124,622,797,933,732,706,741,410,132,975,
866,295,230,583,716,482,008,140,913,526,715,022,484,291,447,046,697,747,325,
235,801,550,005,328,423,264,729,979,371,194,824,588,708,280,297,085,674,175,
000,499,037,386,087,512,006,260,943,652,581,576,866,428,670,478,079,207,786,
200,972,344,290,349,377,759,919,744,739,821,750,600,308,584,805,845,620,360,
904,615,641,360,172,538,097,177,177,412,107,047,873,813,084,887,957,690,441,
705,555,721,513,586,500,075,688,542,520,121,458,552,935,448,803,449,991,527,
407,675,489,846,786,030,183,896,776,099,297,132,595,581,720,675,879,032,522,
149,420,174,275,477,221,239,949,794,142,921,273,855,403,257,360,680,052,921,
323,357,724,074,647,029,493,379,511,727,464,223,340,086,963,457,845,641,138,
246,655,418,155,842,122,859,215,382,478,322,892,995,680,240,988,730,762,687,
483,871,309,768,113,238,814,126,434,186,164,191,914,632,127,213,799,628,027,
138,611,143,329,596,659,842,085,933,768,807,876,495,553,922,625,205,524,230,
655,552,545,728,024,882,990,874,266,974,385,607,163,252,576,931,079,529,547,
024,001,430,178,938,382,178,628,829,110,685,339,445,510,868,413,466,947,708,
241,257,234,761,470,701,428,634,962,418,678,211,180,223,740,623,553,968,582,
547,861,904,201,734,823,768,324,837,639,105,288,020,817,482,476,401,413,084,
011,933,641,750,990,446,648,402,673,057,400,464,248,390,313,631,287,789,971,
928,627,805,139,798,118,243,348,182,582,836,650,543,715,829,209,072,121,919,
920,039,476,144,961,036,593,625,976,128,298,187,042,648,060,210,501,720,741,
757,645,967,280,597,104,906,444,028,228,557,194,349,868,977,136,997,519,636,
681,766,464,147,864,868,998,092,006,698,299,170,908,137,077,502,832,355,219,
319,893,723,408,916,799,900,102,543,014,260,423,056,853,575,083,926,147,243,
794,078,939,243,883,034,775,226,312,503,573,434,151,753,265,238,557,963,304,
084,538,564,495,647,194,551,559,532,303,126,615,278,825,697,674,684,013,771,
838,296,149,994,076,170,220,245,926,878,060,682,104,432,556,999,144,760,341,
386,156,401,550,436,302,227,555,770,362,574,710,808,075,208,143,830,108,118,
473,458,678,026,086,847,597,124,811,848,193,325,741,711,876,311,441,829,108,
570,597,437,265,011,002,608,662,964,590,242,009,710,316,435,863,613,191,318,
755,412,642,167,443,415,266,851,964,387,498,509,715,403,096,428,182,743,558,
219,360,305,505,333,023,694,362,872,734,272,380,536,029,709,836,100,870,651,
529,433,088,713,547,487,606,749,769,577,700,603,646,923,526,800,833,779,166,
031,605,351,731,416,783,240,564,151,523,963,762,576,297,021,490,233,631,677,
754,701,368,663,091,118,930,637,948,695,416,543,245,199,135,628,289,249,429,
301,359,696,803,726,965,845,152,249,570,947,453,775,648,030,791,963,263,277,
346,828,049,840,996,687,428,368,316,742,552,593,829,799,754,707,131,351,735,
706,269,487,888,962,879,404,282,740,095,316,832,968,693,422,431,555,811,237,
770,727,649,270,568,840,449,057,245,657,745,395,087,363,509,683,780,426,460,
236,713,219,784,713,553,583,484,744,742,147,587,020,139,211,049,511,105,508,
169,945,359,636,841,940,566,887,195,143,548,112,300,820,910,996,869,525,744,
090,973,970,689,354,798,983,059,009,747,715,342,692,537,424,351,545,922,034,
215,938,515,737,576,336,348,455,376,700,092,723,044,270,140,691,981,309,489,
617,944,228,753,029,782,627,812,085,644,704,982,580,761,081,347,433,563,895,
387,193,532,641,583,306,019,736,381,123,333,286,092,419,218,020,899,474,464,
500,092,325,082,596,686,222,107,538,837,498,678,243,721,335,567,689,178,095,
526,955,069,563,222,862,193,089,008,459,062,632,485,656,286,293,001,927,558,
076,933,602,213,790,360,566,554,094,619,361,989,064,361,343,214,819,883,523,
034,747,518,046,626,699,962,270,335,612,625,155,467,332,935,521,876,552,833,
871,240,757,610,817,051,258,132,589,992,503,559,891,341,002,373,938,981,535,
315,200,619,212,266,127,711,708,536,696,862,575,448,699,454,131,066,257,676,
298,041,186,689,157,532,541,318,990,430,200,523,469,344,590,161,394,651,979,
990,263,446,268,456,247,939,019,457,076,263,016,814,401,589,017,940,431,312,
266,611,266,075,636,221,317,527,885,193,401,409,168,135,348,415,140,714,930,
617,898,364,184,222,949,227,809,663,112,911,874,533,872,236,297,928,411,518,
267,495,406,136,723,972,147,428,038,293,413,996,320,778,812,026,264,473,730,
936,323,957,837,086,677,364,433,941,865,270,591,183,013,066,501,031,072,103,
628,045,890,554,225,033,319,443,722,832,393,045,784,799,409,067,734,900,564,
259,170,965,170,467,009,233,585,212,711,984,510,008,324,563,009,285,729,637,
814,652,263,142,093,610,203,792,330,262,787,542,855,774,358,390,249,759,946,
892,602,008,470,769,798,525,640,729,806,384,308,549,772,200,171,375,830,433,
100,590,491,983,947,246,190,641,769,765,056,715,346,503,615,034,182,882,306,
018,597,005,069,646,226,505,510,688,464,146,765,060,885,405,588,148,817,887,
682,754,656,959,374,416,893,966,360,440,829,890,195,282,648,179,352,032,089,
760,630,993,651,389,925,095,093,538,474,222,517,379,641,450,725,259,968,301,
765,897,181,025,039,623,033,190,093,638,558,141,383,167,939,521,815,912,721,
767,621,860,034,174,132,443,088,056,908,937,338,199,799,289,214,332,523,521,
490,800,881,544,202,601,762,930,110,975,740,093,296,900,451,559,178,867,320,
178,838,682,505,109,736,529,739,903,788,745,346,657,764,173,400,882,058,513,
110,499,842,361,024,618,682,022,465,718,396,204,350,418,605,948,694,416,371,
186,301,032,813,350,924,551,235,563,372,754,502,243,199,204,026,807,102,510,
838,118,346,790,628,675,120,343,685,722,431,643,919,689,592,645,415,944,502,
374,587,819,002,544,096,486,456,835,293,685,370,721,383,200,317,461,387,075,
898,389,093,911,031,770,765,194,130,219,210,779,528,349,138,862,772,593,411,
767,648,049,784,006,366,041,929,301,662,921,490,361,508,626,659,774,350,156,
874,459,136,588,906,913,931,891,573,727,092,350,504,521,324,765,903,426,547,
411,728,558,804,966,619,581,592,850,016,537,102,446,450,281,210,019,144,410,
118,003,619,153,770,565,795,740,981,022,404,769,272,194,587,791,866,036,541,
404,099,614,434,290,435,364,461,018,911,178,321,431,932,041,922,047,966,558,
311,576,260,839,431,777,965,755,855,966,776,142,066,457,824,771,226,820,047,
965,697,233,719,399,732,971,464,284,776,867,535,311,319,515,878,428,751,026,
931,177,239,801,665,367,306,196,343,443,060,871,472,778,926,298,958,936,134,
279,512,717,821,641,656,616,110,907,172,454,251,756,007,663,782,092,762,146,
676,047,818,577,568,722,453,209,373,585,856,822,727,000,571,649,497,668,562,
329,440,869,239,079,722,008,419,734,524,157,556,928,094,725,774,828,110,006,
380,249,803,115,138,967,916,470,862,548,998,060,085,280,132,514,099,399,486,
122,997,631,799,903,513,716,566,434,990,405,509,228,985,016,994,533,419,633,
524,117,800,890,213,034,101,914,416,110,245,280,627,343,071,664,653,984,362,
258,557,821,062,499,141,546,572,085,942,105,013,856,527,769,875,468,695,110,
029,966,623,504,837,926,435,199,131,255,355,938,924,068,547,450,884,021,491,
255,141,781,375,304,443,011,304,555,967,869,747,064,892,953,456,268,992,794,
768,067,785,721,319,683,017,892,726,920,707,943,474,692,036,410,086,331,757,
261,830,825,497,575,979,406,559,064,316,244,776,177,565,369,802,262,948,052,
391,659,800,871,922,556,513,737,053,881,291,518,261,719,393,930,278,816,234,
156,959,805,977,803,345,038,013,006,235,125,853,128,308,997,541,743,993,194,
524,728,295,976,913,948,479,878,350,803,150,752,431,846,721,505,014,184,569,
986,257,766,239,351,531,434,417,643,823,816,628,595,360,563,475,070,514,794,
081,295,422,065,325,614,683,751,815,348,251,098,859,289,357,137,465,459,189,
261,328,154,215,047,353,775,313,043,531,502,653,748,664,241,548,435,239,155,
202,688,667,938,974,470,443,845,462,344,786,431,765,513,819,778,623,487,668,
850,799,642,748,740,690,352,374,609,936,953,997,311,625,167,901,699,800,392,
688,692,058,837,686,803,933,096,578,450,733,607,367,531,644,982,923,162,830,
007,949,082,531,262,327,867,672,348,671,646,587,911,575,663,345,911,196,473,
584,881,981,097,198,803,171,975,989,119,682,050,840,154,886,532,881,203,220,
447,721,082,126,854,958,153,664,652,571,547,482,476,895,779,452,238,255,826,
224,164,150,153,411,452,181,636,557,726,308,596,484,334,877,527,374,502,874,
915,326,541,029,674,903,135,835,257,008,384,876,849,506,154,513,158,816,161,
519,959,475,051,525,876,423,891,310,497,489,492,610,023,965,612,844,870,122,
112,649,768,233,867,995,877,137,105,636,495,461,293,702,228,011,716,171,015,
000,921,224,640,547,803,383,243,860,976,566,496,884,783,874,903,950,495,340,
764,827,953,556,045,273,697,857,968,242,929,107,751,812,807,793,354,382,315,
051,866,778,583,902,359,822,392,491,499,390,712,075,316,614,273,354,663,728,
103,793,564,355,805,059,729,893,806,027,027,579,168,561,077,581,985,728,753,
757,070,816,409,816,337,883,236,923,054,246,884,960,847,583,668,159,628,706,
169,111,054,548,802,306,157,107,344,204,251,549,415,619,878,767,927,018,209,
464,074,584,148,558,402,423,019,728,622,631,538,999,525,429,293,568,739,078,
504,954,869,329,143,810,541,670,379,369,411,880,931,478,043,247,411,089,789,
153,963,556,210,694,499,636,321,096,499,096,750,888,739,392,941,909,106,246,
736,447,725,767,715,142,640,545,441,655,551,909,957,896,837,711,855,794,392,
874,805,204,691,225,003,913,047,498,564,666,439,258,207,431,132,114,266,268,
806,725,067,472,746,955,876,530,360,295,532,732,092,839,149,315,634,249,329,
165,761,824,191,176,989,692,641,774,995,462,527,903,505,735,442,584,811,262,
531,400,976,181,299,883,849,310,861,584,055,391,293,033,943,160,660,608,926,
455,868,930,836,307,221,903,105,309,336,700,157,129,338,266,788,251,722,561,
335,530,639,633,486,302,253,463,665,358,579,857,053,602,148,932,495,222,842,
848,311,298,152,614,163,029,392,795,109,733,816,310,332,021,732,654,939,791,
719,378,405,637,920,384,793,824,291,539,641,547,212,554,368,485,617,991,991,
076,020,276,067,292,595,599,506,968,663,679,628,898,005,726,335,703,303,493,
728,247,104,490,987,838,789,223,706,777,285,368,832,025,680,341,357,408,699,
473,623,447,696,884,239,258,904,489,585,126,548,188,563,145,071,311,790,617,
304,934,805,630,886,562,325,478,594,656,030,958,360,448,141,781,317,059,014,
401,204,899,272,388,697,476,073,587,296,841,819,470,987,829,677,733,163,617,
684,364,583,519,789,813,901,654,806,199,937,575,848,362,752,796,541,663,200,
810,195,038,098,615,085,775,152,319,078,833,312,717,984,582,047,478,937,878,
656,920,003,628,076,346,929,129,948,357,606,340,628,333,854,204,558,814,017,
360,474,685,977,578,048,437,340,165,239,323,451,681,932,847,874,222,182,035,
242,856,981,214,973,111,316,045,051,311,524,842,280,605,488,495,863,226,621,
091,254,461,815,476,747,591,282,304,763,962,971,250,757,741,882,040,656,076,
748,819,252,918,521,323,600,745,443,239,806,032,864,182,834,304,616,043,445,
473,535,611,358,601,662,475,379,543,878,558,537,324,573,531,166,854,657,034,
531,884,457,794,994,918,611,526,146,612,093,702,759,933,836,930,437,298,878,
309,660,262,458,904,028,074,982,552,385,612,368,489,586,983,558,816,567,801,
206,312,780,611,118,552,345,539,621,427,721,128,263,966,699,148,398,068,438,
359,668,096,348,631,737,658,070,883,688,455,137,292,063,391,458,818,851,108,
499,595,049,913,941,447,277,028,053,159,066,168,465,730,840,938,000,679,172,
808,063,154,429,551,882,920,237,581,760,619,984,978,213,546,165,514,125,149,
958,899,663,571,302,700,295,069,601,555,305,018,600,831,649,555,710,265,696,
482,347,214,536,087,638,257,789,920,049,794,214,293,532,308,383,656,972,137,
564,246,752,968,629,262,249,261,128,588,284,110,221,816,361,339,895,073,485,
849,442,399,668,675,355,139,215,507,425,423,865,707,761,056,096,142,828,105,
047,779,697,898,793,798,627,351,418,067,239,777,143,065,615,095,073,054,741,
520,312,427,530,277,745,910,659,351,123,347,927,053,752,013,472,714,322,078,
896,017,084,245,375,637,490,221,401,577,063,618,771,523,650,381,707,232,865,
080,849,597,991,113,587,316,433,736,483,181,145,821,863,151,157,604,322,421,
673,437,129,224,855,061,420,294,561,116,760,101,188,256,884,544,039,552,800,
242,837,114,612,433,428,222,659,098,586,196,941,645,194,220,857,399,639,179,
943,277,669,781,397,711,492,691,579,745,935,613,126,208,740,430,310,122,215,
760,629,231,227,585,882,217,206,829,282,843,725,717,653,512,407,721,041,436,
505,860,720,883,593,188,270,606,772,239,672,499,518,276,283,594,174,277,443,
361,899,379,125,968,003,674,199,291,988,363,640,297,716,316,733,793,140,947,
489,429,505,293,548,482,800,439,739,499,969,666,489,714,872,990,483,541,881,
211,361,629,304,290,703,088,156,480,022,796,767,731,420,160,992,697,730,396,
668,657,640,311,008,158,732,057,750,258,190,050,308,938,285,884,710,590,396,
603,503,991,798,449,114,547,282,199,279,763,633,174,590,559,100,959,467,927,
642,507,470,001,804,417,913,387,615,549,185,380,601,746,802,241,055,682,422,
223,413,670,231,034,869,430,409,038,329,575,338,587,280,452,118,459,044,348,
690,611,049,048,647,689,751,788,274,032,961,819,311,971,929,393,565,623,442,
812,923,752,449,602,242,403,257,651,731,302,873,769,563,151,076,843,089,043,
147,450,735,643,441,797,825,096,398,052,671,991,207,222,934,359,097,089,081,
447,693,756,409,169,175,411,035,423,532,787,014,424,565,604,787,137,349,299,
170,829,212,053,255,865,933,466,668,956,894,929,861,501,571,908,811,022,468,
790,919,448,703,353,274,097,443,341,083,474,653,599,314,403,167,117,161,491,
654,011,953,311,060,213,432,630,347,666,638,638,502,249,897,918,720,058,303,
523,676,361,125,793,769,393,056,590,854,482,571,840,778,647,629,928,064,769,
659,433,324,356,465,384,852,380,448,591,578,020,773,104,117,780,315,836,152,
651,334,799,726,721,969,056,412,502,900,412,111,542,380,790,326,431,062,652,
858,798,454,618,997,220,786,500,461,555,407,837,144,610,393,044,479,795,579,
762,486,252,374,920,060,763,918,410,340,981,545,501,338,748,158,300,070,445,
087,793,728,107,856,355,595,071,254,365,856,116,807,228,824,172,022,908,792,
301,661,156,146,795,165,684,871,330,685,298,924,656,205,196,272,393,650,179,
973,288,471,869,219,626,731,474,962,798,423,112,604,219,688,001,560,183,383,
522,858,764,517,287,188,976,558,224,684,066,080,635,756,617,076,410,699,542,
073,384,764,171,852,752,943,187,466,320,848,475,112,588,785,559,355,244,019,
339,479,182,440,039,448,357,937,996,667,301,044,416,063,049,705,106,273,162,
363,232,383,702,430,168,930,415,801,029,357,476,591,959,031,571,828,346,401,
726,486,565,339,593,785,590,538,063,351,882,009,582,297,429,929,034,962,223,
576,603,059,992,716,284,333,987,874,156,844,579,451,245,295,809,551,676,938,
298,922,099,357,327,983,859,499,145,112,420,589,055,846,994,522,995,607,116,
291,007,765,567,103,717,529,755,885,538,575,695,985,434,508,251,137,882,306,
975,021,257,130,497,083,397,663,294,046,857,337,380,917,120,276,113,735,805,
593,141,273,821,394,411,241,669,786,186,086,020,784,638,406,721,910,944,262,
253,582,795,670,891,889,040,983,097,639,632,235,691,103,476,053,932,087,823,
195,765,724,770,138,249,521,142,596,844,984,379,443,757,798,690,082,282,668,
152,420,088,175,623,626,507,532,539,674,615,604,178,545,308,911,570,789,297,
731,452,447,422,819,929,013,690,147,524,777,830,899,113,839,384,949,909,687,
031,226,671,436,468,291,589,768,780,145,014,782,760,918,599,000,432,467,506,
656,516,633,454,382,229,994,355,448,836,706,960,550,265,442,566,136,655,292,
637,131,656,591,695,469,315,952,559,715,356,757,122,589,486,341,967,635,632,
345,353,861,926,864,592,861,527,391,400,882,995,089,217,312,927,940,348,153,
291,407,458,042,307,145,311,157,900,639,770,131,405,349,346,913,856,901,720,
624,391,736,584,856,100,982,877,999,112,013,471,222,525,130,451,321,271,290,
599,527,009,255,968,282,918,076,774,814,168,187,223,054,544,163,189,562,335,
173,505,834,553,208,364,106,744,067,621,227,631,335,402,397,306,856,739,899,
569,790,498,724,658,448,115,552,217,196,733,828,142,776,036,201,380,647,782,
647,298,869,291,626,874,033,647,152,962,542,020,572,278,878,627,904,372,543,
005,016,672,094,687,335,054,304,264,389,737,055,386,209,499,851,122,197,035,
554,767,013,814,523,363,004,110,264,381,969,449,237,037,431,472,928,077,636,
058,871,789,284,365,798,657,813,132,201,460,267,163,888,019,657,117,439,708,
817,272,242,864,645,755,799,931,197,225,772,761,948,529,243,334,631,495,842,
583,921,341,382,976,328,619,926,738,166,814,556,479,089,157,282,571,761,994,
875,024,599,799,062,198,879,315,327,135,317,018,394,605,673,221,401,132,692,
588,805,236,133,311,288,171,936,402,838,596,888,648,357,396,308,697,760,434,
489,313,141,452,176,369,720,599,579,793,721,419,320,314,553,005,470,354,887,
352,532,946,979,785,542,314,396,155,611,917,594,062,536,606,123,542,746,474,
347,166,744,410,302,339,026,792,457,731,896,577,371,621,148,712,674,931,719,
875,520,367,605,870,634,024,927,862,733,110,873,292,367,491,499,088,028,871,
824,966,847,728,635,856,556,593,079,054,446,473,990,736,308,837,658,790,690,
971,700,621,149,532,704,647,976,565,315,063,083,935,356,426,804,648,598,017,
047,371,165,599,920,490,492,130,843,523,183,581,187,863,957,939,973,224,495,
737,583,138,788,163,581,865,714,274,598,587,554,511,625,291,502,246,266,793,
993,994,386,305,043,277,995,122,960,490,924,482,956,159,169,957,359,343,042,
773,169,831,495,506,135,538,280,657,070,354,735,241,260,398,492,062,495,167,
091,436,871,489,563,951,523,287,593,537,824,963,430,278,991,660,716,334,301,
988,826,852,902,898,221,923,112,976,345,119,175,438,930,990,573,884,058,382,
467,634,125,065,952,667,554,103,931,132,023,395,305,943,251,307,040,721,684,
890,428,964,807,641,095,556,127,570,284,822,803,652,175,201,114,800,257,984,
585,565,727,955,964,191,409,310,303,048,123,201,186,145,899,206,291,300,124,
098,477,854,492,219,569,232,674,248,560,023,100,447,356,718,833,449,123,595,
524,899,880,906,880,967,189,556,926,607,354,248,622,352,863,144,549,064,915,
624,949,565,440,333,241,261,385,195,368,689,609,849,152,611,166,324,456,040,
520,074,749,190,164,087,469,401,931,077,246,032,265,522,664,651,563,659,242,
513,423,948,608,740,298,415,119,401,668,983,820,453,715,365,326,072,052,609,
559,754,561,171,084,231,519,892,858,293,058,820,681,874,473,118,290,838,531,
843,716,853,125,784,180,334,312,818,864,815,048,723,446,358,794,364,477,704,
388,679,936,591,121,915,264,123,420,172,078,677,201,394,926,282,044,194,439,
967,732,767,816,235,629,556,084,256,774,045,425,200,907,931,824,387,689,982,
049,575,530,640,567,792,176,370,045,824,114,170,677,137,300,474,026,157,360,
433,225,590,295,180,623,868,721,917,735,493,945,939,547,545,628,921,476,430,
773,993,537,617,541,265,650,102,087,182,422,542,374,391,276,619,544,954,929,
943,678,986,566,716,221,709,176,103,050,604,267,143,572,493,462,560,781,420,
670,669,774,113,490,210,624,607,023,027,540,348,461,601,645,051,743,592,624,
271,400,812,707,811,516,767,389,616,562,381,084,817,181,083,486,834,226,009,
359,007,461,173,775,030,053,404,501,305,671,209,918,801,401,932,025,938,978,
103,070,031,441,462,382,136,574,687,081,548,313,707,726,070,549,017,344,201,
739,760,645,184,359,973,254,213,448,174,595,569,418,679,360,839,821,364,619,
630,543,766,754,196,158,571,394,464,076,586,379,806,250,252,615,120,077,324,
632,936,456,566,475,385,321,818,958,703,136,508,515,144,448,928,711,583,150,
632,257,430,558,888,173,209,244,553,966,898,726,371,721,751,997,563,320,275,
344,653,002,086,439,030,344,786,265,620,548,330,006,495,479,585,774,766,928,
402,456,716,296,667,396,526,002,618,213,216,343,356,884,356,331,866,587,996,
376,992,496,271,058,617,757,669,287,356,300,913,733,559,086,608,977,577,061,
975,676,484,465,972,742,598,847,286,090,994,061,728,052,726,263,826,246,058,
882,610,957,231,855,538,824,648,209,250,855,035,826,869,187,979,032,810,384,
632,169,602,941,619,908,202,053,528,315,413,012,882,601,453,419,703,577,990,
243,023,121,945,039,702,449,886,306,674,691,755,225,089,707,523,165,327,922,
830,910,156,360,614,567,623,306,034,503,350,216,849,360,878,654,005,293,629,
621,116,382,457,112,856,127,584,086,394,208,146,451,563,988,209,222,467,591,
021,835,499,500,501,334,401,590,085,576,222,108,041,898,511,595,584,653,731,
486,526,987,913,327,973,260,210,493,174,333,925,820,765,887,445,096,930,130,
748,417,759,872,552,780,309,866,372,603,372,662,303,364,694,069,412,355,987,
037,643,162,997,253,917,488,289,980,569,519,689,102,221,300,611,009,849,311,
159,208,789,726,288,119,851,335,620,390,251,324,244,200,834,031,978,594,231,
986,298,859,819,011,111,860,922,376,120,070,760,076,238,372,329,636,927,523,
140,645,715,002,655,506,350,896,777,852,899,194,243,597,795,332,683,897,212,
680,609,065,646,865,176,326,980,238,670,848,035,538,172,553,516,585,771,094,
800,884,686,158,671,196,623,193,839,981,859,768,310,442,002,552,937,192,425,
728,866,528,209,759,237,712,149,470,727,045,471,583,726,138,550,616,738,541,
294,033,258,093,994,671,223,624,635,238,745,821,397,668,123,174,174,949,719,
249,846,112,562,304,656,609,829,576,208,481,507,194,458,132,783,890,114,651,
168,452,950,319,159,436,589,025,634,535,512,426,501,495,041,876,419,928,063,
760,419,360,238,203,939,667,642,923,369,624,147,839,282,448,795,436,620,167,
454,699,019,654,563,677,159,944,366,829,744,582,209,098,686,913,466,114,644,
266,101,535,922,712,927,223,694,262,370,177,035,941,640,755,622,255,056,410,
162,446,835,037,703,995,863,335,536,456,453,488,077,981,423,973,101,329,423,
519,867,390,480,445,319,761,765,155,815,907,870,195,518,346,137,945,459,655,
576,863,711,922,704,448,262,384,928,238,826,403,717,720,118,610,781,876,269,
264,634,885,541,754,184,731,644,350,770,219,418,760,416,099,753,592,360,214,
570,477,436,610,182,063,297,132,480,139,588,860,753,056,694,475,478,059,654,
458,954,136,052,512,998,915,752,644,111,693,127,508,686,574,721,168,448,652,
928,222,650,896,186,995,733,150,093,324,422,893,975,489,772,967,191,672,338,
619,417,695,932,674,417,158,778,477,346,109,804,444,441,992,358,921,383,601,
415,881,828,565,901,235,364,215,629,340,628,007,161,179,298,247,247,380,778,
431,067,541,254,630,241,419,027,815,683,632,837,343,521,738,236,641,700,197,
792,203,739,505,140,328,642,092,768,978,532,139,429,862,162,030,564,451,118,
284,933,038,826,972,374,102,720,743,631,011,502,046,962,620,230,418,404,731,
021,368,058,296,528,507,525,815,164,145,145,090,854,230,344,737,274,059,552,
838,511,008,121,152,981,783,929,997,835,946,436,705,873,386,626,606,274,352,
654,886,803,758,102,461,457,602,189,258,178,453,846,723,350,694,512,343,490,
072,619,629,095,689,024,132,654,563,093,238,738,373,845,253,473,025,452,245,
909,272,146,684,067,685,725,719,673,540,621,218,369,741,688,810,514,804,853,
001,351,101,055,643,012,091,091,556,700,098,889,097,814,019,918,242,407,247,
006,916,761,207,489,496,264,907,900,671,316,354,610,621,472,154,203,852,336,
287,031,588,215,824,744,048,139,754,643,407,325,420,651,474,474,351,992,551,
125,717,922,823,648,313,711,405,619,243,641,711,239,005,523,184,861,204,808,
445,653,128,161,823,781,335,674,063,258,593,902,265,176,349,268,488,303,026,
517,185,006,507,166,181,924,686,761,165,547,701,344,199,083,102,057,709,270,
986,559,617,743,711,448,590,115,991,293,177,774,772,713,501,817,692,640,136,
107,678,891,058,384,724,248,693,021,670,334,982,966,294,286,255,697,395,730,
558,001,379,713,674,513,265,224,133,002,979,084,040,178,533,499,609,498,244,
754,822,695,431,783,346,848,579,124,360,515,349,537,762,090,700,559,800,993,
455,490,488,917,143,000,770,556,199,043,737,403,158,490,897,761,998,039,573,
379,377,985,832,946,013,124,156,284,507,901,901,336,601,689,395,246,596,498,
150,984,024,150,962,730,666,515,667,961,991,204,078,119,089,301,629,391,063,
549,226,495,902,174,280,238,721,560,827,731,399,547,830,095,680,439,048,012,
745,662,878,191,456,582,439,648,282,368,675,164,726,180,878,498,527,034,410,
907,393,944,598,707,961,879,003,395,171,023,041,991,867,634,181,217,346,341,
801,317,459,068,102,920,530,079,688,578,867,578,191,359,865,743,412,029,268,
736,495,415,173,353,689,966,385,927,381,316,697,574,837,181,495,455,658,758,
905,647,658,926,360,611,108,228,516,394,224,090,545,463,618,455,682,995,479,
715,380,607,448,868,259,541,163,751,304,307,233,893,318,202,748,067,758,421,
210,504,275,364,869,475,597,117,424,473,989,732,109,148,724,188,200,150,250,
849,466,890,630,798,734,284,980,450,964,646,718,967,503,256,608,199,878,502,
683,561,663,231,427,875,049,442,662,455,299,697,010,057,238,167,732,943,044,
257,008,729,508,709,294,863,205,912,681,818,469,113,137,120,692,141,533,485,
850,177,981,192,941,882,763,898,822,203,057,558,727,790,600,864,680,669,186,
613,737,382,388,527,705,612,179,328,199,690,130,949,220,933,353,638,836,774,
957,675,460,580,335,417,365,462,857,833,167,994,858,684,444,068,599,361,627,
122,970,312,986,986,365,830,239,840,910,974,175,497,592,218,689,865,069,320,
239,491,739,529,797,838,134,556,634,633,600,305,699,461,947,799,306,611,974,
646,266,302,621,657,323,389,079,471,967,812,959,530,519,478,067,360,126,989,
846,140,554,341,144,183,027,982,526,070,183,479,253,300,807,681,733,027,820,
261,339,022,099,583,239,866,756,275,510,274,281,439,032,959,880,568,788,512,
833,790,946,635,465,390,407,899,692,560,884,686,486,477,766,177,726,209,474,
321,501,083,834,868,941,518,576,205,168,904,853,687,047,054,292,824,218,007,
225,758,560,242,782,610,028,710,905,753,297,458,928,148,251,702,554,522,539,
964,929,816,944,473,843,930,754,828,336,897,011,613,044,185,002,922,413,236,
143,234,006,513,973,245,514,056,393,456,119,361,527,140,292,588,316,753,724,
456,966,993,330,290,820,663,222,992,873,452,645,093,661,435,016,837,233,700,
523,776,022,753,353,899,744,565,956,131,068,685,659,958,793,725,349,463,540,
416,481,492,114,750,756,686,261,706,168,436,178,857,449,028,544,323,661,727,
801,428,808,788,612,550,684,690,140,918,502,163,148,272,123,031,231,381,165,
505,866,296,627,433,753,209,953,372,228,880,051,452,585,677,334,772,315,263,
213,045,683,461,656,462,011,138,168,206,469,663,887,977,134,160,054,184,470,
576,801,179,878,887,273,616,655,106,754,962,354,192,663,436,886,107,203,989,
364,324,205,991,208,976,509,877,241,566,975,422,419,328,311,659,516,346,414,
899,788,063,911,680,982,596,120,330,493,284,142,989,394,208,441,626,657,294,
433,510,577,827,311,005,297,172,986,336,893,452,224,194,275,703,104,812,955,
257,524,790,989,755,966,466,885,597,718,352,066,952,623,344,794,220,122,907,
038,973,758,657,338,144,049,357,878,508,667,977,136,624,475,481,813,060,970,
152,110,548,007,555,745,285,447,374,949,536,105,732,643,981,947,654,491,845,
123,740,964,408,742,860,190,708,373,831,467,164,675,959,714,164,660,805,601,
711,659,395,255,720,696,520,737,408,963,301,150,642,914,670,419,807,441,847,
911,125,750,187,372,536,652,352,916,854,953,740,372,444,262,078,254,409,284,
686,151,557,119,089,318,929,825,097,703,791,298,428,667,468,999,046,513,627,
757,751,791,420,426,810,866,725,166,879,908,891,106,800,590,717,817,373,140,
184,605,458,069,163,560,136,828,739,936,366,752,324,863,343,654,347,043,145,
804,259,706,467,264,947,500,287,034,115,519,661,886,783,982,152,452,836,864,
150,526,068,044,293,933,904,294,412,290,266,360,871,108,660,437,563,705,712,
214,372,511,497,223,138,450,200,880,099,220,901,988,532,512,792,565,813,360,
177,545,790,919,375,717,201,835,635,876,598,931,190,852,394,523,610,263,070,
032,317,905,132,284,681,122,971,446,298,191,446,696,214,487,442,619,380,450,
595,667,536,447,558,603,410,538,293,016,635,181,554,787,579,852,303,375,790,
605,981,902,309,152,744,953,433,778,258,046,757,030,024,525,951,506,172,741,
371,612,381,379,428,227,816,011,385,575,562,060,143,153,506,833,712,747,966,
207,049,981,518,751,469,397,810,323,617,271,179,755,068,198,513,621,971,386,
828,100,158,543,508,643,568,317,891,068,859,955,817,301,121,709,376,839,029,
214,297,216,542,466,058,897,323,552,823,146,494,462,261,877,301,493,840,926,
017,946,972,334,311,913,960,879,779,848,452,253,824,288,053,354,476,268,430,
826,066,923,636,514,146,767,559,609,455,001,129,558,654,056,453,807,949,177,
976,592,470,431,413,683,810,595,484,233,771,747,308,640,264,154,495,579,348,
187,584,722,725,114,488,689,893,810,888,462,470,431,130,623,832,854,889,478,
612,624,394,427,246,783,785,674,259,076,373,562,707,833,393,489,263,184,934,
013,601,021,347,417,480,410,959,821,741,108,539,198,491,791,713,581,311,410,
021,681,513,585,122,784,592,826,011,831,042,041,842,544,623,264,144,568,544,
181,600,527,751,346,291,129,670,260,005,418,604,301,818,453,423,985,262,758,
983,616,675,787,267,587,133,687,248,564,348,887,641,823,311,626,582,741,689,
738,218,129,579,518,931,375,004,681,835,764,646,666,374,176,101,550,809,939,
299,994,981,847,664,678,855,869,263,037,350,866,852,175,434,731,552,306,187,
090,564,808,872,367,102,540,755,383,231,939,314,141,212,563,319,451,082,633,
336,669,786,878,934,671,678,733,464,493,652,889,330,520,310,908,894,331,953,
669,721,015,313,248,114,394,813,334,706,109,562,664,239,765,347,976,263,082,
398,704,036,958,789,418,621,769,928,304,281,611,454,895,873,724,771,100,612,
984,449,770,761,876,757,506,192,741,952,553,408,852,089,064,054,753,331,318,
270,415,903,129,645,401,756,225,640,229,751,557,912,336,851,165,246,397,603,
919,677,143,160,032,190,541,412,734,025,661,713,570,795,689,935,269,366,460,
322,224,282,077,398,054,290,170,442,329,663,091,503,985,239,723,909,563,230,
749,691,825,032,482,707,031,290,605,136,846,529,638,048,912,157,066,117,732,
883,416,699,091,339,371,850,170,144,969,940,673,306,738,586,849,591,247,669,
966,642,113,366,491,210,951,836,732,902,120,148,931,875,357,358,500,608,858,
554,434,772,526,539,915,079,643,042,213,182,056,641,599,345,969,718,372,409,
444,702,395,867,848,112,294,981,789,433,887,106,437,410,129,091,628,290,811,
374,892,499,267,735,912,308,027,326,374,981,664,288,942,847,873,858,821,270,
170,406,900,985,197,723,790,995,672,792,391,754,935,530,850,004,285,319,517,
227,769,481,353,054,599,294,995,774,888,431,250,531,928,562,615,148,366,453,
079,920,306,306,633,259,824,308,354,401,187,614,106,877,753,156,587,952,850,
842,371,688,406,411,042,823,164,928,902,372,634,762,685,845,067,010,014,765,
420,958,258,751,665,404,039,675,697,197,904,030,604,850,318,996,346,820,440,
424,827,820,050,975,879,624,197,114,551,969,921,524,450,189,216,055,835,572,
155,838,360,729,995,082,069,402,309,905,417,108,094,334,608,928,804,902,753,
053,631,086,320,707,897,799,674,551,171,819,961,842,629,759,517,266,117,876,
049,798,598,903,486,187,653,150,653,424,090,521,245,164,238,159,128,153,460,
324,597,792,983,016,964,777,580,979,207,193,222,066,129,481,218,620,254,864,
707,408,896,250,017,282,202,941,089,020,519,980,046,166,916,797,816,776,346,
792,586,598,782,822,791,930,035,400,767,770,081,773,292,988,398,109,275,711,
019,666,198,282,514,979,518,994,318,655,096,955,176,578,489,351,329,576,344,
698,721,062,330,745,168,971,824,769,059,502,234,763,248,825,965,597,077,899,
181,986,007,591,897,910,347,740,685,309,325,730,288,809,767,514,003,959,923,
568,634,923,175,115,719,131,514,307,126,607,614,934,398,446,118,124,317,025,
340,851,333,383,456,657,804,947,197,050,461,144,367,376,823,841,913,790,764,
546,210,451,929,574,241,733,193,472,305,049,860,348,118,191,208,750,989,604,
064,165,933,557,274,058,175,654,459,126,068,073,974,567,210,048,797,313,717,
954,965,616,380,916,073,832,349,042,039,472,787,112,718,961,063,458,192,657,
546,898,343,340,982,962,977,080,265,555,249,540,638,064,035,904,442,756,070,
636,648,784,868,690,792,600,868,184,814,417,688,348,725,320,184,074,779,114,
762,641,750,555,170,903,419,645,131,775,481,407,864,672,667,237,058,296,751,
800,331,196,042,080,344,884,684,638,748,184,016,421,805,434,802,151,180,243,
571,786,907,982,664,621,420,548,543,567,423,317,522,849,265,671,127,339,438,
410,807,246,029,202,610,784,989,776,898,587,119,962,771,024,864,269,522,849,
963,413,191,332,552,171,301,415,314,732,296,703,316,662,833,218,667,951,040,
889,632,635,846,676,121,911,857,139,749,116,592,844,740,504,504,603,178,401,
229,305,695,192,504,912,565,295,264,621,369,801,364,415,750,703,874,238,919,
554,049,818,391,353,800,455,909,459,934,960,775,294,417,605,965,367,099,494,
153,502,117,369,741,575,181,374,526,747,824,824,677,371,583,679,732,062,912,
011,168,307,671,513,688,200,133,625,782,024,811,548,875,287,269,826,378,595,
846,540,647,855,110,886,030,749,727,395,863,726,922,256,777,752,330,978,905,
269,976,314,535,573,531,690,531,619,862,979,653,497,977,338,133,423,994,568,
556,922,198,415,048,137,504,557,718,422,054,066,539,312,703,650,213,050,244,
277,458,220,982,361,690,538,421,328,580,204,341,507,079,124,185,356,937,656,
486,218,374,841,430,470,989,991,703,180,482,230,944,533,986,366,131,774,605,
354,929,018,164,195,125,387,727,615,923,646,389,428,537,605,452,927,609,442,
915,875,711,093,704,009,522,168,634,067,981,149,465,173,596,027,482,279,070,
000,034,802,833,992,683,485,596,305,060,549,970,966,207,210,291,411,716,792,
397,931,865,016,256,274,812,583,247,198,355,038,060,532,989,623,570,649,902,
564,270,867,711,864,655,889,305,811,001,852,148,136,282,835,234,707,326,676,
571,575,188,017,753,976,214,802,786,330,100,639,438,901,663,639,485,314,854,
935,152,048,683,569,443,224,922,174,902,664,486,104,381,668,576,080,121,783,
622,822,347,366,779,685,782,276,524,510,003,418,856,039,245,031,594,728,034,
982,922,116,132,430,046,380,365,222,210,139,778,465,842,883,332,029,071,339,
603,159,704,464,735,045,814,909,816,189,261,904,031,975,080,644,822,465,084,
497,227,951,186,491,243,315,219,990,297,428,795,422,234,930,112,174,782,888,
605,518,281,669,878,383,923,462,972,236,870,337,093,913,864,639,471,188,986,
537,937,503,722,564,906,057,294,253,410,448,748,111,460,443,366,608,187,360,
825,650,256,977,688,423,651,483,123,042,350,584,481,918,072,477,794,435,047,
599,464,143,281,978,556,131,305,808,783,107,271,981,721,760,534,049,554,176,
948,167,910,207,216,314,116,067,796,501,268,697,050,218,196,690,144,271,645,
248,555,077,547,505,906,465,379,428,420,326,218,354,159,191,515,365,018,276,
635,098,437,919,922,841,674,958,763,911,723,953,323,285,578,687,393,866,846,
565,367,871,225,621,553,460,035,900,910,881,159,450,719,770,155,076,454,680,
301,802,234,216,796,090,661,403,938,282,364,990,564,847,990,584,164,406,034,
668,831,143,415,081,674,492,863,178,659,180,659,118,052,653,196,273,411,701,
670,937,376,182,813,642,706,704,215,904,331,599,569,381,146,993,799,713,580,
198,202,729,831,249,841,148,716,933,516,832,018,531,722,194,536,643,106,625,
909,810,133,965,878,384,665,750,764,179,722,440,970,330,852,103,319,950,034,
949,173,840,267,168,474,894,809,950,777,956,906,433,900,414,222,214,141,963,
853,233,417,205,686,520,907,030,190,444,783,478,312,873,717,970,633,880,357,
638,059,542,025,614,139,286,009,096,030,154,757,237,502,636,307,076,868,894,
283,872,979,319,789,984,755,726,440,809,402,181,670,190,224,452,667,817,026,
268,280,070,315,586,952,793,146,136,758,228,026,921,055,915,688,374,018,216,
287,107,323,913,069,282,776,327,057,270,722,806,012,493,651,262,272,411,180,
720,191,680,497,681,635,258,758,374,067,586,360,759,157,450,879,445,715,158,
079,771,843,768,361,397,285,884,264,875,847,692,094,322,896,683,255,482,504,
054,855,265,774,780,658,072,920,070,576,492,020,024,494,950,816,745,833,026,
053,366,175,032,642,296,402,391,958,480,153,641,409,180,699,891,479,765,006,
572,672,630,745,129,555,288,127,688,706,073,286,151,835,988,827,707,953,091,
726,968,388,928,275,480,051,822,669,016,322,336,932,381,604,161,049,450,781,
624,469,110,149,763,717,783,420,287,203,322,679,422,690,127,601,445,829,797,
616,619,118,413,420,602,902,857,928,589,428,929,353,751,716,119,672,454,531,
211,588,126,116,614,243,408,889,530,850,611,118,612,573,740,819,785,626,650,
049,631,219,308,325,152,211,299,277,796,215,844,435,431,022,525,126,002,503,
232,136,338,246,810,139,597,918,378,556,866,765,989,314,413,004,986,078,499,
272,029,955,424,024,392,843,811,821,053,854,122,426,502,660,704,155,765,704,
048,914,077,012,969,534,138,731,232,260,541,558,885,126,958,722,846,567,386,
016,821,297,567,662,884,480,468,527,333,052,875,548,573,452,801,904,564,755,
043,276,682,407,286,539,200,050,907,182,689,172,865,552,112,858,485,173,641,
562,300,180,542,115,321,030,551,044,080,039,507,225,987,755,553,180,103,616,
829,531,248,508,369,128,080,973,217,303,962,241,379,287,330,997,053,842,795,
891,202,720,284,070,255,103,525,236,657,288,051,710,414,175,469,065,724,997,
959,038,173,901,460,301,466,510,321,822,094,192,306,952,787,651,057,262,439,
020,637,252,460,524,855,749,110,896,170,286,126,878,122,821,900,759,446,815,
553,382,106,986,067,691,519,379,881,638,691,599,060,720,242,575,021,427,407,
827,417,400,498,422,690,831,059,867,714,516,437,410,728,906,673,296,974,350,
579,930,994,474,112,741,911,077,581,255,135,640,092,133,323,812,118,476,364,
722,816,664,166,710,448,812,895,476,130,190,691,938,425,359,415,129,489,724,
714,661,998,384,888,369,597,817,847,042,805,506,216,155,660,890,375,170,902,
530,391,176,775,960,207,353,714,010,344,455,948,410,681,328,004,815,518,700,
078,418,280,549,534,667,465,337,090,652,164,805,024,492,618,709,505,044,505,
212,107,724,788,475,417,601,903,163,312,882,830,125,245,431,696,348,652,227,
776,855,122,114,839,251,234,964,244,039,479,517,546,884,971,903,744,977,283,
952,624,948,021,779,269,680,415,174,727,588,148,971,779,378,418,747,341,906,
637,376,525,065,008,356,557,844,475,857,783,739,504,242,903,388,863,081,865,
106,940,201,243,957,058,762,303,939,066,995,124,674,395,284,242,278,350,590,
800,317,713,585,593,734,509,664,610,412,217,377,699,830,688,888,671,037,159,
159,252,493,488,168,314,811,039,741,692,212,543,190,146,286,242,229,757,262,
018,592,130,377,115,801,208,437,444,283,049,661,972,303,693,469,083,902,440,
557,078,659,220,067,510,269,252,181,017,338,969,520,260,743,222,486,880,953,
874,906,946,235,157,379,435,807,806,314,450,569,601,120,719,492,974,537,759,
931,724,278,312,285,464,934,539,588,105,754,702,764,736,277,566,974,827,330,
723,040,812,888,063,599,574,933,232,889,024,681,901,933,559,022,085,677,708,
548,724,951,875,185,763,393,766,666,368,108,857,336,091,915,918,057,945,425,
945,437,998,194,011,306,869,486,562,929,534,899,416,126,607,734,221,397,845,
443,294,782,859,868,101,462,138,745,740,765,991,558,886,145,209,181,923,887,
288,478,099,691,632,850,390,456,433,315,713,180,144,987,319,861,358,922,157,
264,085,852,452,088,317,960,178,722,646,826,551,907,175,814,026,481,038,213,
294,908,405,567,458,393,835,395,811,846,001,365,377,875,102,242,033,469,253,
081,348,048,888,723,808,790,430,041,304,200,038,656,537,497,493,175,544,548,
571,117,356,214,708,524,119,094,390,237,434,142,924,720,141,932,616,954,623,
264,558,626,938,803,694,225,056,307,236,678,670,185,539,646,751,691,470,417,
121,631,791,207,489,744,883,324,635,095,436,054,465,272,049,629,823,709,623,
622,412,221,431,367,046,653,917,602,396,799,738,015,373,840,617,341,500,298,
210,906,271,405,574,672,392,629,237,659,198,982,530,989,008,814,091,344,597,
570,190,643,276,126,424,354,760,901,901,245,054,739,150,935,529,985,390,093,
318,414,072,854,821,644,822,234,224,024,257,520,602,335,284,038,721,367,628,
589,114,676,862,739,863,698,346,045,658,488,820,078,677,585,630,583,460,230,
670,171,237,990,737,720,976,823,035,491,175,278,752,599,709,206,574,658,386,
937,659,749,362,413,443,676,500,818,373,393,712,038,833,100,115,300,778,685,
294,195,477,767,092,080,677,741,533,763,407,002,299,219,470,748,823,735,232,
981,354,714,142,355,586,277,218,737,100,685,038,960,351,978,134,338,008,298,
874,599,792,128,618,406,893,940,714,513,284,822,040,375,123,436,940,147,305,
724,553,375,191,781,675,649,398,004,695,904,035,701,554,789,258,510,161,291,
520,847,393,060,129,728,104,287,691,188,210,331,580,018,536,963,490,963,083,
147,861,514,959,619,858,733,944,473,396,270,198,863,526,801,202,058,168,453,
069,090,441,786,838,887,650,334,007,267,447,609,077,684,012,324,495,336,944,
965,347,173,713,098,147,337,485,334,520,515,286,231,668,802,977,367,799,193,
883,793,280,125,304,449,843,302,607,175,476,469,831,668,409,939,654,063,807,
881,760,455,762,231,742,882,154,778,348,426,658,820,793,380,059,329,286,678,
364,888,273,739,018,179,369,589,702,655,072,716,607,973,236,561,962,737,514,
127,086,230,451,672,120,213,515,090,664,537,132,494,301,264,415,081,469,890,
556,904,006,934,203,458,387,811,006,158,520,505,093,749,134,615,548,806,116,
033,846,383,028,627,897,986,360,940,258,932,299,308,737,995,903,827,463,665,
844,865,664,309,749,923,006,616,020,723,248,347,857,781,436,605,178,409,210,
789,083,095,957,166,963,143,670,494,093,974,723,703,154,581,789,630,472,262,
476,691,454,324,612,625,578,920,909,016,657,993,620,799,585,768,548,565,089,
989,916,531,448,502,096,215,139,218,158,152,017,541,815,227,426,046,339,689,
516,004,825,709,121,018,788,760,812,829,546,795,157,159,624,474,109,310,019,
798,935,768,158,504,596,883,887,802,480,714,395,605,021,775,268,692,532,166,
238,777,647,982,274,007,586,347,757,475,334,112,314,607,949,660,241,255,359,
353,883,314,623,486,903,602,587,625,968,642,490,173,353,259,685,294,793,818,
212,213,550,353,814,501,966,170,651,869,915,998,040,616,763,637,621,258,502,
096,443,891,310,252,434,405,336,752,032,855,417,333,720,135,762,247,028,932,
935,008,124,540,590,134,500,834,448,447,964,644,619,166,620,105,761,675,590,
874,144,768,443,696,956,220,339,503,685,545,238,131,875,358,488,872,676,963,
023,328,759,873,681,753,654,437,975,154,432,046,877,957,270,598,334,060,535,
559,177,528,479,149,354,856,208,944,120,968,803,684,038,163,992,796,122,290,
228,860,541,186,361,560,374,102,974,988,328,405,070,855,031,812,186,140,165,
711,875,810,368,451,039,688,814,354,749,448,465,037,941,996,648,257,106,354,
775,646,718,245,933,651,960,592,409,417,327,231,872,120,744,867,995,537,353,
607,496,925,165,961,295,604,012,176,004,120,261,748,931,432,938,928,578,629,
294,314,820,985,470,182,142,292,837,809,224,035,234,339,660,221,442,059,396,
614,528,590,506,379,873,765,450,566,811,246,967,870,743,119,839,184,299,928,
420,981,830,783,497,501,998,152,149,071,330,533,284,919,338,899,547,779,560,
238,289,401,062,213,997,386,311,587,130,629,967,369,632,486,447,830,895,970,
886,311,952,143,578,160,860,897,945,207,268,603,062,588,497,739,400,876,819,
804,366,967,721,805,565,985,826,550,403,802,412,731,450,654,092,557,385,194,
116,811,737,127,181,561,665,402,586,812,567,955,335,939,694,877,135,348,978,
350,807,114,967,404,329,342,891,325,145,690,028,483,034,589,097,401,816,097,
526,817,104,308,179,951,928,930,467,935,806,804,764,426,491,331,125,090,115,
961,384,544,442,671,170,656,258,527,559,333,232,893,051,798,769,983,639,269,
268,935,765,791,308,528,370,348,420,197,789,607,223,656,382,331,859,323,045,
894,790,865,497,622,369,322,716,411,369,638,249,839,478,204,068,787,055,756,
928,828,540,263,688,615,588,109,868,972,194,996,252,756,228,834,857,055,683,
229,432,912,135,408,675,824,403,775,592,206,609,774,472,871,323,545,893,860,
087,667,464,525,880,923,267,823,166,988,263,793,584,977,258,022,250,087,359,
555,796,837,123,900,365,160,267,765,254,991,583,252,011,745,059,100,222,421,
213,221,497,744,094,203,094,822,046,206,127,975,595,983,582,443,038,871,708,
965,713,461,266,238,116,355,804,800,129,472,951,689,935,202,448,791,202,014,
100,739,050,824,783,523,925,990,826,940,298,432,854,616,425,263,620,906,059,
443,214,196,099,171,862,649,068,995,967,721,692,288,381,849,647,533,778,804,
242,698,293,252,102,600,884,317,344,315,233,231,233,154,256,930,754,983,361,
027,574,261,300,595,219,374,494,920,844,253,150,968,745,903,010,944,071,816,
825,828,514,946,355,385,079,787,462,588,252,019,417,797,021,306,363,663,823,
598,347,418,986,700,174,215,228,416,189,751,434,806,537,969,523,867,241,629,
854,112,911,836,854,310,944,812,912,729,527,150,824,463,013,706,275,980,469,
781,971,523,761,679,682,843,981,322,034,498,904,831,049,150,697,171,145,039,
439,354,125,102,774,920,238,002,887,962,547,225,191,287,975,194,263,084,998,
514,033,818,754,133,139,418,687,448,366,375,986,626,565,461,681,281,133,800,
068,116,324,737,323,084,102,858,495,113,501,773,885,889,528,663,712,227,023,
749,788,295,958,841,992,691,554,952,906,163,821,502,536,403,659,537,753,755,
195,301,592,968,990,594,591,563,400,894,373,759,980,923,803,203,155,472,752,
593,960,902,089,840,534,897,475,933,155,170,594,994,682,272,697,666,574,495,
024,430,951,253,609,252,842,862,055,991,851,522,382,039,496,117,093,229,353,
881,558,592,911,941,361,709,239,808,926,712,583,617,785,139,477,040,291,668,
619,050,447,715,813,203,694,861,116,299,204,619,768,207,986,521,798,802,233,
505,531,846,070,055,202,854,606,345,882,189,823,177,239,897,862,826,647,391,
161,090,513,470,188,082,909,481,344,083,053,849,464,039,005,989,464,828,907,
866,983,916,578,807,033,011,045,895,527,468,726,557,934,019,326,838,398,442,
452,618,663,671,011,795,890,651,739,357,188,994,270,012,376,555,928,930,084,
809,492,858,008,741,684,687,099,702,331,893,559,003,656,767,814,672,694,322,
552,228,431,786,898,657,055,034,630,460,730,320,747,973,154,353,485,074,977,
114,241,575,890,253,470,156,100,752,610,074,193,770,530,459,531,504,745,011,
625,470,045,455,010,095,324,279,602,997,230,252,449,164,403,488,886,492,244,
501,366,465,011,915,046,636,320,743,822,955,037,743,007,333,811,000,818,089,
927,943,674,223,472,754,711,663,119,038,222,812,099,872,264,785,249,125,136,
474,859,513,343,619,542,846,476,532,276,923,759,301,058,291,805,862,335,530,
803,186,032,065,610,149,927,696,091,319,771,869,299,596,914,591,710,761,974,
022,186,675,463,495,301,312,814,667,047,194,515,420,522,667,880,279,937,248,
497,910,925,687,349,724,743,207,696,276,278,050,697,101,697,903,510,054,486,
192,508,146,943,177,130,478,598,426,399,435,273,514,139,501,951,361,981,739,
969,867,537,504,447,863,464,752,352,051,205,823,090,913,603,590,008,850,652,
271,247,807,819,668,510,841,984,432,944,710,632,247,713,949,960,012,059,859,
883,156,104,953,114,843,019,886,051,939,271,507,515,416,482,305,952,295,521,
314,581,708,984,909,222,399,510,973,368,855,063,310,289,680,135,012,347,221,
285,059,036,938,372,158,038,475,254,499,676,857,322,083,533,301,458,789,418,
570,698,337,231,953,649,895,069,080,842,698,407,841,978,234,739,246,069,620,
204,189,391,409,150,741,867,260,131,119,799,602,968,809,266,097,871,298,143,
902,643,547,355,638,743,634,065,414,446,859,995,902,279,679,357,109,143,358,
809,474,845,333,290,204,787,857,775,241,158,857,432,520,575,457,746,937,695,
574,701,529,654,173,019,783,077,555,997,597,218,060,127,063,447,018,223,863,
710,053,093,852,375,745,185,690,006,206,883,922,913,889,605,732,007,770,943,
040,131,359,503,859,547,244,207,880,891,207,953,552,100,589,088,631,532,891,
274,359,854,498,631,392,281,348,329,828,448,596,879,755,299,174,013,023,361,
878,786,578,288,261,008,270,349,432,913,612,445,873,906,617,367,301,887,801,
600,077,686,408,928,208,980,359,937,736,220,158,102,210,422,912,645,058,989,
367,850,080,777,403,642,785,907,171,930,761,071,228,797,369,722,773,077,746,
018,589,266,251,283,968,299,782,973,773,253,904,678,437,832,346,221,844,538,
700,932,073,772,379,420,967,071,371,263,561,737,562,067,236,733,204,197,676,
693,680,041,409,927,197,655,958,362,406,008,834,282,611,129,386,608,170,288,
325,622,539,354,089,673,814,806,263,303,946,912,483,106,628,752,562,888,943,
942,484,802,191,592,881,497,651,559,685,447,086,321,659,410,540,495,543,102,
871,195,232,689,449,819,422,019,006,838,685,152,292,319,607,738,660,280,698,
162,782,765,529,963,359,162,481,064,909,982,493,762,844,511,047,636,531,038,
377,580,074,160,869,562,981,978,746,402,984,625,468,878,078,559,369,002,849,
028,480,366,850,143,831,090,960,718,162,375,850,526,241,064,441,443,627,291,
807,678,350,437,038,489,673,010,616,177,912,262,093,490,770,389,512,628,077,
307,963,987,950,126,543,913,381,540,837,469,154,739,801,666,249,374,917,671,
298,426,400,132,928,798,761,820,322,962,802,433,180,743,869,318,140,156,706,
071,757,762,821,761,273,985,019,805,018,015,530,919,890,887,034,443,230,150,
801,519,666,752,356,499,264,611,613,735,789,694,117,495,634,719,423,762,679,
364,157,958,942,136,126,341,253,911,618,477,647,443,773,771,164,836,213,188,
908,802,335,904,660,610,800,977,220,725,000,623,716,724,240,522,473,015,196,
701,061,034,472,312,124,635,736,406,378,958,771,327,848,484,133,570,961,624,
267,002,340,967,644,505,335,471,620,730,401,209,013,082,320,126,339,678,375,
685,855,235,669,820,195,023,494,021,382,157,814,150,265,685,231,176,758,309,
381,709,419,606,671,154,990,335,366,142,305,666,307,881,711,932,366,169,931,
407,598,962,732,361,728,880,311,506,233,887,194,489,773,990,697,595,365,712,
631,756,254,588,953,300,171,245,480,042,086,587,992,760,836,393,634,992,462,
063,841,950,469,916,777,575,325,754,906,392,265,497,715,589,038,844,735,067,
363,019,194,154,710,657,203,863,360,721,586,188,846,655,143,277,124,690,816,
996,412,763,490,813,399,829,017,672,607,052,262,678,933,296,558,911,955,861,
657,421,518,062,565,370,983,121,604,539,668,670,817,690,297,682,902,923,740,
524,340,551,959,333,193,748,982,527,010,180,670,356,938,413,482,117,017,878,
371,826,801,943,981,738,690,226,158,470,262,746,962,436,292,085,512,204,495,
617,417,043,052,754,331,373,373,284,199,066,565,195,882,377,806,394,223,030,
262,179,707,433,447,581,049,891,548,892,572,867,500,384,794,820,298,041,899,
718,674,490,309,836,499,958,282,235,994,841,241,000,347,204,477,967,501,056,
657,752,970,702,636,494,521,979,279,746,674,006,946,406,494,521,723,306,198,
401,863,189,457,930,849,882,954,355,013,007,226,405,414,846,265,046,251,124,
680,200,433,485,912,562,399,710,932,204,306,057,417,053,087,808,407,515,613,
163,386,288,632,762,338,808,228,071,869,045,117,740,711,375,356,542,534,741,
975,740,730,576,818,245,634,979,046,313,444,995,336,483,299,625,231,650,941,
965,662,181,835,419,196,695,893,817,241,138,896,864,806,439,968,988,117,289,
554,600,192,449,992,201,732,395,295,741,774,177,731,763,816,448,459,037,494,
022,094,977,020,250,717,225,424,894,115,554,209,927,006,754,912,290,792,726,
567,112,135,032,827,233,556,406,303,979,198,893,673,173,451,506,090,625,528,
287,093,786,486,226,361,531,007,782,220,921,042,269,074,206,109,908,926,533,
661,525,240,667,132,528,074,749,399,150,782,117,122,657,382,841,591,698,460,
013,905,486,113,297,613,959,758,135,252,639,653,720,270,109,272,982,769,412,
976,714,794,473,434,512,497,871,973,037,467,505,075,033,545,215,599,590,960,
432,538,769,762,648,581,271,340,888,235,336,078,573,882,279,627,790,339,872,
480,710,775,910,368,744,282,298,082,493,069,252,302,925,585,335,906,022,669,
642,897,226,876,236,999,736,413,182,229,120,602,344,791,616,217,622,171,003,
864,518,873,492,759,872,523,263,034,457,241,686,757,517,527,875,836,222,991,
470,237,877,052,044,011,574,298,320,018,925,110,314,155,295,832,937,770,040,
452,466,221,146,675,773,515,708,123,817,895,725,384,924,720,224,616,964,359,
229,419,426,913,266,857,346,938,613,522,396,789,611,506,897,603,821,076,941,
381,753,292,832,372,735,083,532,053,885,867,437,554,721,881,640,490,726,099,
287,806,330,598,613,974,581,471,118,765,162,654,878,442,490,161,340,999,254,
555,912,489,905,034,745,736,628,970,469,352,775,370,981,963,124,955,942,853,
791,737,166,111,479,518,831,486,757,202,866,982,463,595,723,249,826,560,691,
585,826,149,801,807,762,138,805,813,512,496,837,213,979,655,200,365,833,648,
397,765,361,359,019,885,462,332,847,760,485,954,871,326,655,668,532,505,147,
209,166,843,326,639,101,580,362,920,408,491,175,546,324,376,465,221,579,249,
777,629,568,102,224,142,872,292,715,657,834,824,478,918,329,372,575,907,568,
285,432,117,600,404,283,622,911,354,100,680,266,579,331,494,420,811,341,385,
983,905,567,711,788,573,356,814,282,999,894,774,331,602,277,612,748,309,726,
371,820,099,739,549,645,224,333,938,329,165,470,161,311,262,331,212,189,072,
203,866,405,528,788,932,154,448,889,082,275,970,790,282,080,039,673,085,176,
753,222,936,135,902,586,642,235,414,021,151,572,845,986,638,517,962,268,650,
380,175,181,095,246,427,825,081,438,598,798,619,606,281,127,843,497,598,671,
509,654,087,434,912,597,874,143,617,282,439,686,358,488,642,889,909,934,527,
586,142,175,711,911,483,139,899,664,347,122,369,508,940,127,521,322,887,401,
198,248,391,998,737,054,973,085,715,539,666,540,009,569,731,111,751,871,502,
976,205,962,185,939,968,851,520,195,576,938,112,561,816,930,293,317,087,330,
442,157,098,147,538,653,962,365,124,133,426,731,724,533,842,881,583,042,014,
678,964,256,262,214,341,009,659,045,787,206,168,906,287,731,534,404,476,991,
928,138,083,013,958,412,240,546,911,206,519,244,734,264,967,964,913,239,162,
606,376,858,810,636,771,910,756,839,543,685,285,670,937,767,219,082,241,981,
606,095,062,906,030,738,094,823,394,914,847,392,925,443,773,660,207,977,374,
822,852,643,049,521,651,964,107,477,503,618,464,331,081,637,020,690,318,712,
081,058,457,798,216,807,741,217,436,571,594,128,909,978,063,020,187,515,705,
682,493,064,995,532,961,432,343,226,974,018,177,500,580,853,307,075,784,945,
001,842,309,941,860,533,001,310,390,004,155,761,607,623,784,443,390,261,498,
646,527,668,536,585,603,864,190,074,796,419,508,177,848,185,022,143,866,862,
288,970,216,204,060,008,847,219,066,821,247,776,431,694,659,476,436,192,385,
740,079,765,789,559,039,724,575,088,241,799,058,951,121,986,095,741,848,366,
053,913,819,487,787,957,833,339,934,448,618,846,234,598,725,736,697,963,951,
494,406,521,028,547,684,890,665,159,407,897,104,566,804,664,422,781,900,029,
318,811,452,112,411,634,907,538,098,323,827,318,250,357,033,345,761,256,950,
037,162,706,088,026,205,564,305,356,789,878,042,509,346,570,917,505,813,032,
085,130,928,317,284,482,348,431,527,765,786,031,061,600,696,346,345,469,084,
634,663,842,459,335,682,927,515,723,026,760,114,317,716,345,755,157,880,734,
406,538,208,667,103,834,249,726,042,005,875,576,496,722,069,996,238,409,189,
683,138,082,151,886,720,780,403,762,856,829,723,881,346,745,812,784,762,111,
347,118,359,430,678,965,772,772,193,111,305,441,148,326,185,272,006,224,758,
227,917,808,998,433,158,400,604,135,163,479,239,977,392,927,312,482,624,062,
359,436,231,013,839,583,937,192,211,620,149,114,397,874,516,693,285,258,581,
763,641,151,569,778,862,077,429,977,072,313,795,138,422,063,797,614,846,128,
438,575,033,574,262,061,089,184,299,866,480,868,594,983,572,182,282,373,649,
061,801,574,639,165,835,727,111,314,558,324,497,342,306,984,914,727,431,733,
801,410,990,908,802,554,500,253,782,621,971,247,626,311,886,187,187,513,083,
635,576,415,425,986,282,843,467,288,566,082,465,738,003,264,470,405,546,041,
468,840,270,311,050,354,524,860,906,096,026,076,267,918,585,944,877,826,224,
246,888,361,126,164,102,354,928,765,250,804,323,219,568,209,688,031,638,314,
384,038,237,993,126,782,945,644,896,519,394,578,102,326,300,647,848,724,841,
667,481,959,031,364,225,084,385,060,911,312,095,764,536,401,109,547,469,556,
296,940,476,107,935,183,989,812,472,158,743,976,449,377,262,625,053,559,196,
690,099,481,726,659,306,946,333,120,696,527,942,849,116,437,738,567,516,932,
919,066,792,577,907,885,473,723,967,097,958,569,851,147,652,325,309,880,653,
992,068,859,888,306,136,272,820,652,593,825,417,869,476,118,634,074,449,798,
964,497,859,643,960,527,207,403,973,309,664,548,530,328,718,793,518,454,989,
954,612,158,882,001,976,725,157,983,983,210,526,926,907,400,082,344,453,733,
378,489,206,699,407,042,076,247,945,943,957,324,478,219,963,136,859,356,352,
263,353,285,163,642,151,956,221,694,622,762,858,663,294,409,730,526,327,841,
100,920,727,261,713,349,201,132,702,906,225,809,045,801,617,112,382,621,708,
623,960,272,955,351,540,455,965,100,280,286,113,656,359,071,266,032,078,292,
607,507,381,326,995,515,049,201,666,433,326,701,919,906,718,237,880,900,853,
119,421,851,482,710,837,820,107,242,566,521,859,466,553,497,611,745,857,392,
547,889,212,905,387,187,493,735,199,773,462,464,472,869,078,228,246,246,980,
193,200,074,840,597,526,064,312,124,529,097,853,465,778,898,734,151,928,475,
281,177,073,875,079,291,640,026,815,795,978,278,497,649,690,942,176,875,418,
623,000,140,326,579,231,744,361,018,053,570,038,884,266,487,318,912,751,352,
339,895,445,267,248,524,164,487,682,129,063,889,647,760,026,759,607,233,111,
795,960,967,047,098,177,113,888,150,073,561,575,188,741,157,313,914,441,753,
035,382,222,856,576,065,092,398,629,091,232,477,526,169,255,112,333,352,611,
455,575,835,655,421,340,395,548,491,544,374,114,703,871,494,235,370,748,024,
048,394,973,615,885,905,325,022,681,955,771,349,817,969,088,526,156,955,241,
341,105,518,578,821,765,819,848,740,015,162,435,359,280,995,148,467,225,493,
275,971,139,389,728,183,062,765,899,661,862,483,684,985,793,934,545,360,174,
602,312,492,251,716,317,235,880,944,949,232,467,268,072,306,064,794,859,124,
014,771,233,998,491,085,170,944,917,601,693,773,845,861,534,225,953,095,564,
546,114,951,658,779,863,888,633,292,096,486,878,809,695,881,268,721,309,077,
637,233,355,183,699,118,131,636,056,899,116,188,591,376,370,313,865,238,264,
538,781,938,070,166,945,321,520,870,637,027,425,174,399,605,897,181,292,512,
910,035,551,766,026,128,000,635,958,388,575,479,130,093,771,324,665,969,461,
098,903,157,630,280,538,088,842,081,124,096,213,496,362,509,095,482,927,503,
171,164,368,715,775,068,272,712,485,966,096,801,070,797,265,238,516,455,611,
898,668,820,276,798,919,056,713,780,642,813,050,750,764,989,585,809,571,200,
813,383,594,814,798,802,117,345,942,430,278,832,528,827,935,998,910,186,214,
739,615,512,115,576,931,606,559,555,787,783,580,425,650,679,893,041,374,367,
434,940,157,386,755,501,150,864,633,889,962,887,676,843,309,345,822,601,294,
170,203,593,159,277,344,549,169,274,833,780,634,434,862,107,874,314,062,884,
601,122,891,237,046,922,612,895,897,668,049,868,035,519,800,243,621,388,476,
190,136,629,848,256,159,631,011,653,725,881,290,062,470,291,219,784,569,877,
934,986,987,600,151,119,493,279,060,521,675,858,699,044,463,456,169,849,843,
993,239,472,658,649,575,706,249,514,271,675,350,850,106,950,452,720,466,324,
357,318,477,077,775,617,326,428,222,379,791,753,847,327,302,871,849,395,448,
527,188,572,099,960,823,356,441,368,356,665,342,484,583,564,685,142,153,944,
999,766,023,084,358,941,997,517,292,792,849,639,612,919,945,211,097,268,136,
837,099,767,166,101,451,173,263,415,355,343,659,371,516,266,041,875,059,691,
126,154,819,617,528,386,914,106,063,796,314,095,068,615,963,445,962,080,891,
343,488,180,676,391,722,234,626,101,581,576,576,511,069,235,414,570,898,015,
125,891,582,548,047,519,730,613,701,373,283,504,772,558,886,464,985,379,058,
203,513,854,272,170,374,678,963,526,644,405,799,284,702,422,209,931,422,141,
746,955,349,056,280,534,022,456,434,481,632,477,928,959,221,147,538,731,261,
209,783,909,827,995,899,660,460,597,978,896,065,798,224,466,432,478,489,156,
313,650,192,736,553,079,819,523,640,666,286,403,644,027,948,953,332,429,226,
468,476,621,659,167,909,375,341,161,525,493,715,179,062,681,633,047,098,418,
242,519,276,707,826,247,613,090,102,160,545,598,947,941,094,569,866,444,283,
672,144,657,360,510,391,416,315,259,337,024,928,573,969,722,405,199,568,328,
061,459,701,917,112,729,649,764,516,184,264,039,476,927,771,105,489,713,531,
415,779,218,275,589,830,950,362,366,091,557,936,391,307,380,474,579,164,124,
681,705,871,648,745,516,826,875,788,509,978,418,941,708,798,785,369,591,902,
812,316,197,449,670,292,163,038,811,080,642,053,126,184,213,605,358,475,637,
765,792,657,992,178,331,606,236,840,641,894,621,041,936,162,027,240,281,966,
689,278,173,997,487,536,097,611,521,558,458,384,954,005,601,338,413,476,964,
614,473,781,675,505,841,801,030,089,591,096,479,946,335,716,537,720,099,129,
866,987,657,458,675,547,382,802,443,250,973,179,706,471,953,760,039,866,175,
482,037,679,095,778,007,743,360,186,278,427,065,831,999,172,647,975,474,753,
227,920,014,770,042,711,200,370,173,361,930,311,433,519,844,384,122,466,197,
829,652,702,775,635,820,682,090,912,064,521,518,108,239,883,466,319,291,506,
699,256,350,797,963,701,931,453,735,627,333,705,729,623,415,408,167,156,695,
333,145,460,402,425,579,581,832,580,306,826,708,857,000,758,864,933,017,410,
749,292,687,176,866,626,598,182,479,666,809,520,941,702,563,811,150,828,030,
278,430,769,439,280,759,651,222,061,615,744,160,665,337,915,022,241,289,211,
474,120,152,458,177,563,919,017,524,275,938,640,535,893,948,115,438,218,669,
931,611,123,275,892,129,126,885,474,403,320,401,011,199,962,458,198,254,040,
439,814,166,621,837,952,352,417,218,470,990,267,946,749,033,397,430,405,813,
254,738,823,183,016,038,039,569,108,474,501,295,340,618,731,723,232,778,709,
429,485,991,716,181,185,955,067,438,108,494,913,734,371,253,985,996,773,358,
062,595,258,634,583,235,284,937,148,698,887,483,861,644,159,635,610,346,489,
732,305,882,288,356,603,595,188,529,824,947,020,245,771,597,071,166,691,348,
826,213,290,821,564,341,516,413,705,377,851,486,407,598,451,604,282,569,970,
315,153,775,720,514,493,232,411,140,679,794,006,778,227,463,821,887,912,069,
525,069,207,814,772,369,659,286,777,522,743,741,208,031,945,518,995,043,474,
417,312,698,995,851,601,962,048,952,610,804,317,242,249,739,604,483,949,068,
107,985,163,305,893,617,710,313,651,389,981,345,114,424,300,764,173,054,632,
117,708,043,287,930,976,485,987,502,441,014,818,642,020,239,608,505,140,557,
210,172,041,306,339,682,323,848,236,718,883,758,999,070,196,866,262,406,578,
211,170,878,228,076,033,974,047,479,401,844,661,250,461,611,390,099,314,565,
949,303,203,983,271,815,384,743,789,532,811,771,641,983,832,129,287,102,850,
738,440,740,346,246,857,718,960,873,177,578,424,975,503,240,831,531,402,954,
860,966,740,488,417,271,745,712,056,453,621,007,383,970,829,099,160,888,126,
034,528,359,555,501,910,492,525,921,197,684,844,626,706,845,080,842,249,704,
896,398,269,150,335,770,998,020,737,725,478,173,316,969,565,737,418,704,388,
211,261,430,118,397,995,347,848,055,739,921,693,901,338,360,147,307,399,458,
689,631,848,727,636,594,779,256,680,354,675,612,557,082,887,557,761,408,804,
888,525,015,763,683,755,541,936,965,956,101,404,936,356,473,505,661,450,766,
428,428,757,554,401,034,034,802,798,697,019,481,191,790,472,823,590,081,849,
954,452,437,021,299,721,251,153,107,589,401,766,148,703,583,644,126,452,337,
714,769,706,764,725,970,089,279,255,432,485,087,753,382,612,975,364,800,239,
129,671,755,671,977,662,184,922,821,814,655,489,325,986,150,136,185,030,826,
842,845,269,476,148,519,674,027,691,740,716,103,916,223,527,043,808,397,110,
372,123,496,131,303,333,282,025,555,493,258,407,732,955,518,217,116,879,370,
843,880,393,153,477,081,277,909,709,257,919,403,487,432,236,050,409,454,506,
747,661,652,912,669,517,789,012,232,908,722,554,978,001,976,858,029,563,004,
451,553,740,247,068,804,539,984,832,690,514,652,976,179,326,877,536,538,763,
852,197,512,460,219,668,391,721,533,126,344,859,152,749,571,913,737,653,502,
015,435,232,418,850,257,770,330,785,238,276,705,787,258,518,255,535,413,824,
887,653,515,071,421,148,892,479,380,013,329,765,475,738,872,497,742,496,499,
897,793,837,226,533,208,994,882,331,261,499,794,127,190,413,515,987,063,562,
756,257,920,967,118,563,052,598,075,493,528,082,274,214,959,063,280,800,315,
468,437,971,988,430,920,137,724,441,968,654,251,013,626,031,400,140,481,818,
801,917,825,846,970,736,324,859,967,206,119,364,482,782,779,050,984,389,709,
680,977,169,175,850,117,217,487,848,671,831,536,587,373,585,655,032,583,727,
901,220,427,869,025,171,799,601,129,035,855,160,617,860,981,538,987,526,072,
757,250,906,789,329,668,768,776,070,833,629,785,139,672,561,540,937,404,197,
088,052,184,691,778,948,622,575,576,920,350,549,384,315,178,917,524,873,171,
335,650,418,483,412,808,366,746,619,168,370,074,138,787,103,293,161,001,488,
221,245,804,078,712,810,676,118,052,406,152,365,298,533,317,685,551,895,943,
406,826,125,215,068,117,948,263,139,814,685,007,939,989,733,177,109,213,729,
790,968,407,770,504,902,025,296,041,136,702,727,034,102,660,732,061,189,333,
014,899,752,585,932,744,656,144,575,116,109,060,572,665,816,117,331,000,568,
964,591,778,944,720,478,904,289,289,900,371,494,989,180,021,360,922,522,442,
619,921,284,275,959,687,422,766,218,209,006,350,130,494,997,194,353,690,928,
156,705,011,192,028,364,139,591,952,546,013,928,733,586,275,193,141,881,518,
722,875,400,823,229,302,639,372,662,436,789,172,371,861,568,890,480,386,218,
249,675,938,310,515,681,179,407,813,502,372,061,711,027,662,739,748,502,882,
983,102,257,865,203,229,835,194,640,666,585,280,909,964,425,031,362,653,873,
423,324,957,971,141,343,943,820,086,556,816,555,285,767,328,645,421,944,239,
990,848,935,611,742,317,755,774,291,516,891,649,002,110,633,374,076,180,394,
978,842,850,468,254,336,540,196,698,220,475,278,511,387,674,581,393,512,240,
705,410,514,480,826,960,265,207,400,476,467,640,831,436,316,847,394,445,507,
795,150,198,642,484,906,379,679,823,058,498,839,897,180,851,794,299,113,088,
012,970,364,504,801,682,446,737,830,482,123,819,109,070,815,684,473,719,607,
229,293,163,073,815,658,991,284,487,981,863,691,681,375,826,195,042,780,070,
094,781,103,379,496,616,208,916,966,696,281,242,656,687,812,056,047,993,834,
328,771,506,564,684,827,600,050,606,438,014,348,382,428,301,734,657,961,824,
368,268,429,975,783,244,526,135,761,748,900,418,855,864,968,064,933,643,815,
310,262,663,924,660,520,133,732,935,898,597,440,389,301,066,140,662,041,183,
476,415,494,979,746,612,004,027,908,985,721,369,218,070,238,130,266,140,005,
955,174,828,732,777,294,587,881,985,005,911,521,146,157,363,601,480,678,327,
589,291,334,543,926,589,408,200,933,122,443,017,360,036,637,085,583,210,103,
578,422,341,048,099,129,080,343,954,514,273,544,782,765,777,898,960,197,826,
379,052,632,496,197,771,283,175,399,980,052,105,590,898,353,096,101,392,893,
463,039,485,738,384,855,119,303,330,197,400,800,065,744,622,526,991,929,117,
037,682,354,961,529,905,360,431,653,627,551,709,082,314,868,124,453,965,926,
212,388,967,047,176,077,777,037,784,720,781,781,795,883,524,602,172,464,160,
232,182,672,932,685,311,944,541,964,311,794,041,332,187,890,771,744,706,083,
708,662,079,895,151,661,276,449,971,208,623,381,163,026,743,208,627,670,556,
461,517,462,230,538,935,964,605,991,500,407,809,734,706,177,423,740,000,495,
149,383,718,690,007,791,132,521,786,634,172,158,008,718,062,288,026,169,998,
285,122,954,639,697,733,206,902,058,993,319,605,188,899,440,711,597,099,895,
114,373,392,830,647,769,983,538,598,947,332,437,636,264,434,269,739,062,105,
926,801,744,960,489,487,258,629,073,229,717,845,647,334,478,621,371,075,454,
198,382,466,247,567,081,726,136,794,206,262,381,450,781,188,012,496,402,647,
765,172,629,051,649,908,857,024,740,163,448,381,239,121,093,710,560,166,504,
801,297,874,847,180,961,043,007,859,056,887,763,667,109,816,006,983,511,672,
624,801,739,939,619,986,063,675,783,429,269,492,314,190,787,725,832,020,099,
582,943,019,723,282,318,997,017,682,278,130,761,863,983,192,070,970,146,465,
221,522,735,137,696,405,745,329,649,541,757,117,909,353,318,790,912,419,495,
715,959,004,411,861,436,543,557,301,803,565,164,810,671,964,803,963,349,687,
344,833,598,810,125,843,618,836,930,496,524,770,930,554,069,361,579,088,711,
590,326,325,578,783,014,295,925,865,031,650,349,509,633,852,143,249,316,530,
528,957,459,115,186,403,514,882,120,596,275,978,501,155,446,417,255,968,527,
651,761,956,701,570,396,729,105,408,793,023,801,293,313,368,153,009,219,447,
182,262,754,149,693,517,763,521,397,539,314,473,698,357,000,883,124,231,339,
041,644,314,661,977,378,705,683,187,952,763,017,531,724,228,822,060,998,142,
554,531,817,626,685,770,644,212,962,658,976,358,213,281,988,728,603,124,285,
403,650,009,595,846,842,591,750,723,461,934,076,565,858,477,622,575,988,184,
087,733,877,466,993,486,764,918,189,876,995,171,224,216,373,164,845,135,156,
308,877,634,087,257,338,938,045,387,148,993,262,311,858,178,258,358,690,865,
892,304,890,112,062,167,144,927,297,203,326,385,561,465,144,216,428,401,462,
315,733,804,563,915,958,911,926,801,263,134,478,627,872,703,711,402,711,324,
870,453,687,688,030,517,165,887,223,399,367,736,362,246,038,213,856,872,057,
160,205,462,216,666,008,847,415,529,921,348,784,308,631,309,149,249,433,807,
467,447,155,399,208,074,537,627,511,390,173,157,255,602,346,605,367,647,033,
257,792,168,728,727,071,001,773,035,230,698,754,993,429,721,554,480,620,564,
504,974,947,390,669,802,416,075,457,195,348,270,110,278,717,605,700,767,546,
862,672,473,220,242,268,968,891,212,738,839,891,753,496,251,682,834,747,877,
302,136,859,750,169,474,354,895,888,073,156,943,493,356,500,909,740,476,481,
116,487,208,745,524,301,635,796,768,064,294,930,754,070,101,972,708,298,430,
053,682,321,280,226,352,964,292,476,787,813,243,141,423,385,346,448,058,129,
091,889,025,551,493,319,937,426,093,162,116,302,844,994,027,937,564,078,097,
813,782,847,514,287,777,406,253,944,575,151,936,746,867,774,261,262,376,136,
506,399,872,059,824,702,340,771,847,636,992,927,205,460,958,941,535,159,807,
616,636,707,663,336,776,942,917,844,085,394,959,605,787,321,161,851,102,833,
282,031,059,871,210,705,179,950,479,439,893,782,560,023,154,962,216,266,601,
634,970,789,838,184,261,279,958,729,656,697,772,779,519,576,173,794,321,874,
489,727,069,338,140,861,064,204,076,072,640,771,506,479,814,429,607,139,616,
367,531,863,563,624,204,214,287,003,905,772,074,473,427,872,804,070,246,477,
176,288,664,815,897,858,692,788,284,291,873,014,170,572,798,740,380,017,424,
394,512,853,152,081,072,927,013,354,861,317,596,150,290,683,457,220,615,539,
990,453,826,715,289,377,647,805,038,291,456,040,609,173,438,135,582,800,673,
366,710,215,979,213,482,931,609,538,023,179,236,114,706,977,399,935,037,598,
247,793,226,036,281,026,985,425,519,689,013,537,517,246,963,539,245,164,890,
107,599,539,279,605,646,806,205,136,921,939,514,120,361,905,789,535,947,487,
499,835,492,853,254,004,119,254,174,209,094,577,187,698,995,191,020,526,074,
646,892,535,230,641,604,351,691,596,703,214,110,926,911,717,811,533,655,813,
603,606,552,358,296,583,269,090,739,350,065,025,518,657,956,902,457,134,207,
102,712,217,992,399,648,780,365,908,848,543,653,453,755,823,731,132,162,267,
982,729,191,459,983,120,448,279,446,162,579,066,228,124,376,450,545,855,211,
879,858,394,491,615,361,855,528,813,176,866,647,489,106,714,457,723,068,193,
733,731,486,711,382,231,030,620,720,408,157,431,076,537,409,829,454,277,163,
392,243,152,066,530,115,653,074,053,341,555,306,311,147,146,658,105,320,204,
837,684,604,371,534,884,137,228,570,932,317,036,251,548,990,869,873,659,567,
042,655,368,905,197,584,041,536,633,474,891,736,243,258,213,583,670,393,189,
954,471,384,765,597,282,280,044,168,397,277,307,419,925,522,456,764,551,750,
522,370,502,798,827,745,784,823,901,045,272,757,844,203,452,407,959,819,541,
271,802,897,258,411,509,278,940,443,574,342,017,090,428,022,800,555,642,907,
044,951,586,551,677,825,616,233,633,702,366,410,842,624,321,937,981,319,635,
272,783,518,758,519,077,605,717,652,730,514,057,446,448,738,733,491,628,370,
215,064,524,795,963,430,016,185,534,702,704,571,263,855,518,058,237,207,002,
120,476,735,609,048,465,681,239,388,201,950,247,219,108,612,083,015,136,134,
977,743,093,495,203,063,975,641,585,143,234,036,138,298,259,406,138,894,836,
980,101,067,294,356,778,871,528,086,984,987,902,268,867,312,523,310,356,944,
057,558,851,768,517,607,894,636,373,455,243,073,979,022,054,312,547,199,237,
832,483,163,054,912,133,172,353,124,228,562,733,113,778,982,813,939,033,034,
413,304,825,730,862,892,248,512,456,780,153,994,529,787,142,301,001,543,948,
349,203,801,937,528,212,437,624,770,469,681,895,427,299,747,730,416,977,151,
885,599,101,011,593,133,986,549,464,542,204,629,573,887,287,766,700,072,328,
179,485,352,790,646,726,482,583,978,606,258,506,548,353,273,800,997,415,069,
939,838,611,133,939,831,326,125,312,548,432,295,280,914,210,593,889,653,353,
084,658,828,213,098,639,313,626,512,074,752,826,858,732,211,496,531,356,812,
291,156,527,109,635,477,206,021,105,851,589,482,929,976,082,560,462,817,566,
595,055,986,122,315,693,961,906,787,323,428,222,688,742,837,852,534,559,886,
782,113,795,695,007,854,211,829,058,424,014,341,079,594,678,110,957,443,529,
520,105,589,961,456,341,916,285,946,780,162,224,015,891,893,093,127,163,592,
763,917,152,842,386,647,229,993,427,058,243,857,599,716,563,279,760,114,897,
598,395,625,807,924,172,063,535,884,907,919,061,795,588,599,858,095,755,521,
942,944,840,759,446,125,463,069,985,029,178,410,840,689,430,007,597,768,844,
280,278,325,753,391,189,358,416,390,481,671,985,354,136,802,508,190,860,668,
313,476,855,775,611,952,078,626,155,633,575,987,595,361,669,340,188,278,324,
558,197,782,310,680,041,536,949,710,386,749,622,873,202,336,127,136,966,409,
755,532,963,808,538,130,055,455,926,606,362,172,979,361,151,775,039,250,332,
638,912,733,995,835,220,286,364,908,197,650,771,223,255,480,505,616,831,050,
606,491,391,672,856,834,226,517,455,575,877,683,470,043,568,376,988,792,181,
829,665,856,254,289,239,309,434,715,576,607,612,284,373,730,101,310,892,063,
791,852,837,775,679,409,118,032,288,082,579,140,404,167,195,720,288,182,055,
552,234,208,571,908,169,917,522,024,296,194,775,256,269,456,262,957,042,614,
459,741,276,869,504,080,597,231,583,853,613,184,350,797,339,931,845,977,305,
296,891,738,730,309,746,729,324,117,906,380,675,871,278,531,331,010,176,053,
966,135,552,748,916,689,983,789,932,099,185,970,663,966,590,019,392,925,990,
213,147,148,604,543,784,200,242,763,439,799,702,211,025,011,699,000,402,952,
127,018,988,457,562,802,088,700,304,524,757,847,213,440,395,011,359,592,533,
558,848,276,792,927,286,368,253,455,193,620,677,115,105,356,205,066,776,378,
266,083,456,740,279,871,914,774,009,181,693,705,575,724,660,846,116,119,010,
572,270,423,805,620,971,568,665,254,493,195,939,122,628,914,782,445,733,066,
222,089,364,253,918,994,635,364,287,080,754,551,689,178,222,023,358,853,043,
875,371,760,157,284,977,376,720,434,700,338,114,728,638,879,912,393,689,089,
944,001,630,245,796,728,807,878,899,220,726,826,852,826,796,613,107,658,222,
989,110,844,567,168,127,012,106,972,230,718,082,133,348,869,623,168,797,579,
808,998,147,500,188,560,319,301,835,974,734,781,037,736,266,538,892,046,312,
349,880,241,316,963,076,075,611,703,898,761,823,225,362,409,912,224,019,602,
888,305,995,068,521,241,392,876,184,333,181,219,130,058,196,346,269,078,225,
570,945,199,564,214,394,177,233,535,789,651,522,215,010,134,677,865,120,274,
778,348,070,453,702,875,146,025,937,686,957,370,347,391,674,750,946,310,239,
898,628,455,966,573,664,946,553,971,756,335,018,986,513,701,657,333,800,018,
697,731,028,413,399,562,852,024,441,899,892,320,057,527,218,714,693,943,887,
253,450,998,098,715,471,684,813,303,141,162,325,107,415,660,083,166,306,155,
273,037,987,850,918,679,783,839,169,287,158,830,070,344,795,952,488,541,670,
152,405,839,112,195,060,815,312,346,161,751,111,859,338,392,832,524,879,948,
021,355,833,606,211,029,213,734,668,560,030,328,342,818,136,246,605,512,694,
496,471,844,757,468,872,616,572,346,244,536,096,858,981,936,753,682,469,805,
134,770,849,899,695,544,320,982,515,813,122,341,033,912,782,178,812,980,984,
865,807,208,053,615,509,491,060,719,586,392,283,100,272,442,829,697,754,858,
007,113,763,196,569,924,940,843,752,057,377,160,880,389,146,988,445,645,336,
200,366,916,736,033,750,811,123,994,572,326,929,322,896,147,632,833,838,940,
878,307,895,174,463,924,396,461,713,507,506,140,083,869,314,479,718,841,190,
455,758,289,582,022,483,810,450,157,301,396,591,900,293,536,886,230,087,650,
173,128,445,752,979,721,918,077,614,597,988,266,119,988,445,420,396,067,327,
803,601,247,870,565,237,905,082,812,919,725,201,803,426,383,264,665,461,204,
985,194,835,113,995,705,792,369,448,640,545,399,410,539,866,701,496,915,327,
625,080,513,772,596,138,027,697,586,082,065,257,177,775,465,972,709,219,862,
887,351,452,724,791,798,905,623,694,916,347,498,250,355,016,896,248,064,784,
742,184,989,759,521,584,827,361,709,851,715,089,194,584,615,122,068,053,777,
597,016,655,303,886,697,400,133,189,583,986,875,804,713,330,044,179,284,367,
216,014,335,039,123,070,642,173,100,523,725,087,499,301,170,557,356,857,204,
983,254,248,765,507,943,045,207,736,201,824,906,667,432,934,434,957,315,516,
173,381,970,997,128,511,844,483,327,135,670,238,430,369,211,665,920,356,871,
616,658,853,428,799,371,592,059,450,745,441,928,722,777,272,062,602,164,868,
495,217,289,925,656,725,388,867,276,195,710,347,230,819,364,073,241,080,764,
748,174,066,079,876,073,193,336,124,863,717,631,732,081,451,008,737,780,662,
632,659,881,852,364,026,590,050,745,967,175,107,327,301,416,078,225,115,755,
344,352,303,367,222,112,323,656,689,007,447,747,399,396,675,204,563,325,018,
957,238,458,307,139,175,765,725,622,165,316,319,856,210,547,474,916,751,814,
734,959,148,147,317,022,358,321,029,277,120,865,310,374,341,664,664,021,269,
550,929,643,711,894,624,509,115,920,456,086,023,818,246,651,575,266,174,964,
478,554,826,029,766,248,096,157,747,121,345,901,224,935,525,881,704,682,123,
604,544,459,278,991,597,972,048,334,608,328,519,650,944,509,784,741,031,633,
410,019,043,804,831,691,761,856,699,546,349,851,899,808,232,250,421,040,326,
353,344,254,194,434,827,218,753,688,067,658,815,340,545,573,904,309,967,669,
281,034,402,805,556,749,171,102,511,661,730,352,005,423,953,170,873,140,099,
654,142,578,634,155,993,586,576,753,566,945,694,578,852,437,534,851,932,181,
262,991,028,512,004,541,161,329,360,099,416,810,725,747,247,861,580,280,889,
376,852,132,961,205,942,845,685,308,965,994,285,278,214,190,264,442,728,221,
313,759,619,412,537,229,996,255,595,606,958,677,968,842,596,436,426,070,241,
596,695,925,750,363,664,978,245,090,466,995,262,970,478,270,521,891,753,326,
030,316,847,022,580,706,242,491,435,373,564,687,262,851,176,167,165,884,387,
605,749,508,779,240,534,262,785,738,435,421,702,484,093,021,521,719,471,698,
704,811,535,315,143,090,466,909,004,190,524,915,027,274,174,451,160,787,318,
785,859,572,733,039,361,310,137,015,917,817,946,744,382,624,124,381,263,404,
406,432,335,425,746,100,315,968,792,291,362,991,843,401,054,018,036,930,904,
211,765,093,847,061,152,895,947,698,270,554,403,708,628,452,519,306,875,875,
962,311,484,885,207,572,425,862,336,246,925,802,653,534,235,614,988,847,016,
461,321,524,440,530,048,416,541,145,481,478,158,516,849,114,197,684,045,129,
452,911,935,662,350,453,157,412,708,565,894,572,207,744,322,360,011,407,979,
858,624,313,088,025,837,503,542,599,321,151,716,879,696,838,778,613,201,747,
229,222,647,529,630,481,751,604,169,143,431,537,390,484,363,926,011,046,204,
852,792,565,858,545,105,078,354,635,805,645,080,743,444,058,775,100,816,449,
682,506,156,106,829,478,221,627,274,838,499,433,264,381,406,587,025,485,450,
891,221,466,979,900,215,367,064,410,361,323,921,759,149,337,669,069,582,126,
370,455,663,125,976,652,417,463,355,000,244,301,304,091,500,238,892,946,519,
297,680,955,965,624,112,187,247,520,361,773,425,221,862,658,046,565,905,968,
555,139,658,037,091,154,420,519,854,280,842,230,668,943,614,221,990,293,011,
116,457,943,336,100,545,689,156,247,469,714,591,659,998,056,227,601,985,929,
493,155,364,692,974,650,677,607,778,794,736,467,745,239,555,872,471,675,483,
829,647,290,311,332,854,361,071,103,546,685,292,621,776,407,629,885,974,991,
949,515,906,964,926,753,982,074,617,039,916,766,041,804,652,735,845,058,175,
626,746,699,497,401,472,605,120,667,896,299,447,141,119,832,150,837,681,044,
099,402,418,663,621,908,907,641,261,430,700,474,024,607,897,723,834,659,729,
393,270,460,677,021,428,572,437,634,665,172,532,088,112,907,200,443,431,928,
149,263,856,912,555,982,595,702,751,817,808,289,834,119,224,851,306,287,608,
405,966,337,093,804,167,557,266,522,531,055,091,129,518,655,323,615,781,836,
947,681,446,378,567,414,794,091,385,520,069,103,953,199,439,752,406,820,066,
557,052,979,323,019,725,923,859,325,864,993,599,407,536,763,825,032,387,643,
004,969,266,931,317,032,770,142,278,091,056,075,470,806,609,240,006,679,560,
516,818,993,508,919,340,860,215,681,359,483,471,802,419,815,918,535,984,890,
117,188,425,233,561,785,816,820,092,714,890,768,904,569,207,554,678,588,555,
462,650,143,591,618,069,269,631,667,543,516,269,145,871,698,190,844,911,849,
424,054,646,911,654,294,940,764,233,983,802,570,192,425,727,266,357,207,846,
006,569,850,198,512,206,347,831,915,587,264,748,743,411,124,980,460,538,599,
602,500,924,914,746,126,643,742,663,165,409,552,787,167,489,079,290,034,383,
143,150,440,949,549,458,188,549,580,791,450,979,075,852,975,152,931,988,910,
956,720,685,952,411,980,964,430,117,694,048,947,781,227,989,523,186,321,934,
618,328,472,986,997,468,556,185,378,529,802,651,092,952,146,666,216,912,525,
861,906,554,737,793,065,584,800,158,368,492,812,026,668,633,541,499,739,784,
882,249,750,232,497,612,250,568,676,167,645,051,178,311,359,469,350,790,093,
380,153,562,981,288,428,853,642,592,647,776,971,652,739,668,243,641,376,796,
869,491,908,898,592,001,470,323,515,558,728,146,478,573,066,753,295,034,384,
762,153,260,824,737,669,431,997,238,995,514,528,392,355,490,927,881,872,647,
159,582,555,571,700,011,774,319,631,584,173,496,499,164,944,899,537,716,895,
955,172,636,280,699,750,312,256,696,994,749,950,069,997,019,134,126,129,862,
834,572,048,158,691,717,642,928,751,164,653,353,933,593,909,130,830,733,965,
742,980,800,958,370,433,006,411,397,553,865,309,127,147,103,758,796,186,599,
217,203,140,119,966,808,650,168,918,850,902,217,769,453,082,237,607,399,756,
942,018,351,071,871,074,105,039,867,718,647,261,213,544,683,115,361,232,001,
683,602,309,023,377,354,652,122,098,223,711,799,941,515,347,690,396,118,623,
063,530,681,454,237,233,045,449,808,148,490,083,071,977,843,161,584,583,185,
182,488,732,193,130,549,843,565,086,850,747,877,722,443,855,460,681,039,356,
106,341,414,541,384,032,045,330,124,731,674,553,804,085,451,967,076,936,552,
843,755,560,169,258,846,077,122,972,848,527,340,139,204,861,814,073,798,360,
470,618,646,888,292,959,589,932,125,952,733,712,867,788,045,229,242,549,745,
862,312,032,368,363,828,517,771,392,498,273,457,622,413,955,380,870,836,942,
058,938,562,935,349,585,414,993,794,852,575,741,906,005,340,983,984,744,728,
313,276,190,734,540,946,110,899,339,151,160,918,832,159,647,002,825,491,579,
627,469,777,994,018,897,602,894,592,021,722,744,784,970,474,367,787,978,143,
212,635,661,552,197,279,631,837,982,844,216,526,057,763,266,764,672,747,015,
836,161,206,479,872,122,698,044,612,123,429,202,085,814,734,018,249,052,414,
401,477,440,645,604,304,827,905,804,978,140,251,304,610,008,471,211,743,408,
006,439,450,867,541,194,312,693,280,234,844,464,737,136,342,217,462,535,683,
819,344,578,217,305,114,389,329,183,586,859,558,890,982,487,837,345,115,290,
624,650,608,411,576,197,193,757,064,298,924,493,731,860,188,295,014,729,301,
934,347,764,602,514,111,373,212,830,298,223,287,579,865,979,815,243,690,627,
738,087,096,523,018,822,615,170,716,113,663,959,242,007,561,999,919,588,865,
674,902,447,637,647,339,953,553,761,411,241,873,571,825,546,289,716,610,960,
950,603,072,889,769,163,299,166,834,201,743,628,957,181,008,265,378,934,921,
656,924,589,686,009,102,957,021,206,092,004,836,433,453,047,065,764,903,072,
592,434,134,326,275,248,159,905,297,834,389,919,841,122,389,416,637,328,252,
779,481,803,251,819,237,997,197,533,790,238,618,550,904,261,758,014,251,337,
235,913,674,649,368,793,663,617,880,499,811,558,398,385,852,102,822,416,288,
079,163,916,682,199,860,096,368,878,625,876,669,879,933,467,392,278,398,488,
422,715,468,432,224,476,468,776,697,706,809,315,342,948,791,236,341,393,000,
147,941,176,568,889,076,743,656,959,873,863,453,385,452,636,185,382,707,531,
588,973,752,857,573,420,868,704,807,803,031,354,377,666,555,561,027,821,746,
481,172,394,669,786,642,765,580,382,327,837,020,555,219,223,726,551,999,616,
306,761,784,048,323,880,545,076,606,070,158,402,508,917,482,318,032,785,920,
030,774,735,003,353,326,354,228,183,845,927,148,342,572,933,488,785,532,977,
380,230,543,727,781,844,476,314,915,571,668,999,654,878,960,565,613,769,425,
596,281,126,027,431,550,550,315,275,710,173,211,535,063,134,226,424,161,938,
108,498,298,534,005,473,646,348,117,162,193,575,527,441,216,988,947,902,865,
329,323,253,652,479,676,567,324,700,524,105,305,947,145,401,201,287,364,109,
240,360,212,851,157,887,447,784,903,732,600,360,977,321,307,914,842,555,221,
764,529,024,798,764,861,993,784,796,787,948,658,798,197,739,088,340,683,146,
234,311,968,285,639,160,611,051,929,278,072,231,512,854,828,750,144,997,870,
873,715,401,240,449,080,932,288,662,074,548,399,354,517,368,732,606,692,358,
123,762,890,979,481,896,256,600,083,750,269,019,666,875,685,167,408,322,600,
961,034,965,839,888,336,331,728,343,539,368,642,773,330,642,184,209,434,789,
750,437,222,540,027,445,561,231,632,038,916,393,123,404,751,063,023,878,914,
986,718,010,947,796,083,237,257,806,143,939,552,894,769,238,914,998,554,746,
006,235,538,316,670,211,790,260,169,570,273,824,655,865,167,764,295,289,696,
257,392,141,404,533,146,416,423,691,484,873,367,156,294,016,896,270,102,475,
304,652,242,394,837,221,199,082,865,064,813,872,589,914,053,654,359,407,806,
114,980,210,099,594,020,255,718,165,807,226,696,790,703,535,817,826,733,143,
726,847,793,268,852,335,976,298,045,024,693,666,260,055,810,174,685,693,743,
180,444,373,981,133,022,600,720,568,863,700,654,331,342,706,795,400,247,452,
330,304,379,691,538,869,764,653,749,492,567,972,827,192,800,390,101,851,541,
664,746,394,464,287,384,302,451,582,697,883,280,053,507,820,369,278,821,520,
007,624,428,104,393,681,818,875,614,337,561,970,245,925,324,378,117,579,587,
850,390,221,413,062,739,769,413,183,480,124,377,562,680,437,025,341,901,710,
730,159,827,473,465,633,810,358,718,206,330,164,458,424,681,915,806,147,149,
857,903,804,741,218,417,976,101,354,335,135,238,912,756,320,018,729,891,842,
098,774,973,649,171,867,061,685,538,576,061,987,972,156,257,951,739,143,508,
337,600,597,899,070,053,669,841,795,173,141,919,093,879,465,024,824,660,808,
466,716,230,406,787,625,308,898,455,474,322,610,084,298,618,162,385,657,452,
683,565,721,496,349,106,166,979,215,836,278,255,091,728,996,176,453,992,906,
073,351,135,193,807,622,244,113,630,767,132,628,059,568,819,208,909,821,049,
973,174,645,556,232,416,447,883,649,873,343,212,118,898,003,124,289,927,153,
585,325,950,865,359,721,845,273,870,152,260,284,969,786,111,851,228,259,788,
673,924,341,248,706,131,395,935,854,184,896,607,816,053,851,611,595,434,854,
597,827,875,692,147,789,269,662,484,539,034,845,216,492,505,894,480,791,760,
672,910,890,625,960,255,276,063,894,495,396,239,697,926,724,955,099,361,129,
835,947,040,017,039,278,473,110,848,699,277,550,985,172,079,995,974,902,494,
719,435,544,447,378,324,622,939,077,120,930,670,921,880,416,764,523,033,235,
590,805,388,814,692,270,580,847,960,085,129,352,616,964,680,725,365,057,618,
155,185,287,213,032,703,035,860,658,499,497,199,284,696,108,892,401,685,728,
019,704,950,949,932,291,904,852,429,712,893,636,598,433,781,002,135,669,784,
747,046,652,054,843,536,909,252,089,559,858,911,548,632,813,884,164,375,491,
549,643,570,572,824,789,287,196,272,130,743,906,319,276,271,587,939,004,835,
961,612,411,384,587,858,882,224,179,313,814,129,330,703,200,177,557,687,916,
904,932,140,772,944,926,160,559,869,589,317,968,125,734,754,785,290,949,369,
125,700,394,305,716,783,075,198,822,816,901,823,703,765,237,244,539,247,286,
023,193,332,723,085,394,341,003,814,634,250,775,023,311,090,960,408,521,518,
918,086,624,635,350,213,229,848,246,998,335,845,220,964,069,931,348,849,410,
692,407,948,065,111,261,316,212,968,188,504,357,151,785,288,707,332,691,159,
469,430,306,088,597,469,354,868,459,233,756,535,363,283,791,132,041,879,254,
956,192,041,070,118,054,849,858,790,277,617,647,872,924,064,059,908,471,632,
425,387,435,286,486,792,350,704,209,759,476,343,489,114,540,463,094,793,676,
655,612,554,403,097,226,028,454,763,483,481,450,352,066,116,865,727,945,342,
143,574,868,723,079,954,580,890,022,818,275,267,140,205,225,702,867,286,295,
743,519,504,920,850,455,096,629,171,948,260,081,883,384,445,286,704,454,457,
973,239,283,881,915,326,727,797,154,375,031,454,046,011,707,512,586,062,498,
687,736,142,611,470,721,534,503,534,805,434,540,324,445,093,650,510,654,923,
896,138,920,469,940,271,216,344,568,784,338,552,879,139,048,926,834,310,052,
407,719,427,480,101,632,927,018,487,435,331,890,379,828,586,604,889,265,887,
258,196,166,179,103,223,191,815,568,679,825,696,377,909,978,488,878,836,288,
130,760,278,806,077,358,732,754,770,732,782,738,740,768,354,180,834,037,957,
682,792,595,341,891,532,666,845,332,319,359,983,441,799,155,382,236,761,897,
948,569,325,568,386,469,816,755,457,878,280,524,097,700,778,504,270,255,867,
011,857,077,521,698,532,897,428,666,294,927,996,331,325,271,163,289,471,853,
521,971,113,311,021,497,758,202,601,905,401,928,865,828,484,598,437,996,600,
674,720,182,216,683,856,509,270,297,456,967,891,097,626,882,492,868,592,207,
307,743,720,012,103,462,731,484,803,759,398,034,670,368,809,198,995,803,340,
599,170,190,735,057,127,810,104,500,430,948,367,528,848,422,817,172,462,743,
463,004,855,146,105,568,314,298,697,885,159,233,004,577,103,637,043,465,488,
970,570,820,953,678,876,909,945,214,523,242,501,923,400,580,668,986,682,985,
265,464,007,250,752,992,989,397,745,845,650,092,081,574,792,850,058,787,545,
856,374,417,493,781,487,364,765,639,155,134,497,050,720,878,258,924,194,939,
633,739,742,636,451,441,620,655,339,588,374,719,242,398,140,409,559,011,794,
964,822,858,047,629,916,686,383,438,857,564,093,809,038,072,809,052,027,934,
398,082,660,350,210,709,539,341,097,655,364,896,951,877,762,028,785,533,209,
691,297,994,084,206,012,224,877,472,430,160,693,177,663,066,865,987,556,299,
219,323,540,134,219,819,465,445,475,264,652,256,385,790,093,586,339,022,750,
986,836,897,192,951,779,733,360,378,022,402,840,460,902,120,910,850,851,032,
490,143,358,191,996,143,702,410,883,812,185,103,298,492,645,593,919,356,342,
047,123,108,519,659,487,078,613,562,544,747,988,830,470,233,998,157,423,517,
439,279,525,848,119,129,665,112,908,759,267,467,488,342,659,757,014,785,561,
956,764,751,013,947,915,173,235,421,350,270,912,272,755,145,150,167,865,714,
852,460,527,364,240,754,554,950,320,372,485,774,747,503,165,589,726,965,195,
953,634,985,695,664,885,014,603,069,594,028,148,192,894,855,655,518,851,712,
350,918,368,124,750,434,441,098,784,000,910,603,452,044,059,994,626,035,090,
397,557,853,442,582,064,324,080,568,005,054,518,063,917,868,787,261,545,977,
910,862,015,584,481,985,279,066,292,592,849,332,598,524,435,657,710,073,017,
748,004,405,849,272,718,138,418,644,098,189,551,700,239,931,815,162,822,397,
825,297,099,809,477,257,839,459,035,999,923,876,701,408,392,136,124,202,107,
533,740,005,194,083,789,855,562,461,983,233,918,318,879,137,429,427,063,132,
184,925,973,834,481,501,527,049,179,225,553,376,030,898,031,962,774,620,402,
568,138,108,425,888,910,337,152,649,958,989,838,416,601,398,895,184,344,438,
596,692,692,572,153,922,382,825,509,840,362,649,036,629,649,900,208,351,734,
597,647,364,831,928,119,498,716,011,600,978,345,505,732,835,743,389,484,961,
862,299,456,208,510,510,806,788,149,246,133,241,295,396,538,296,116,643,714,
914,530,063,665,963,361,612,714,102,093,231,668,798,426,856,011,218,064,068,
285,641,558,049,112,042,991,855,211,488,193,419,367,355,972,127,361,242,716,
309,904,006,437,643,147,940,725,145,894,551,149,120,989,768,418,942,056,942,
855,321,899,836,095,464,033,179,325,900,702,570,443,661,852,904,251,331,965,
740,391,614,911,322,650,388,141,238,415,867,278,156,415,854,120,066,056,944,
725,952,842,635,442,493,296,583,316,602,319,075,634,146,243,573,046,809,182,
840,906,621,222,450,542,217,184,036,956,468,816,246,595,346,905,688,334,074,
847,361,290,461,757,720,858,357,232,731,930,809,520,195,847,444,062,820,115,
282,818,348,228,759,535,414,162,698,531,199,949,857,794,469,987,940,438,817,
870,229,845,481,571,498,918,623,200,444,342,616,969,108,387,762,319,839,650,
141,078,645,730,530,006,749,937,279,149,277,142,619,670,661,230,298,287,813,
990,797,858,473,040,668,967,098,829,105,009,633,728,241,631,298,983,080,739,
769,303,687,706,002,467,587,494,043,261,611,952,027,938,255,377,854,681,359,
991,815,954,291,220,225,702,715,545,114,611,295,428,783,409,384,244,284,236,
360,683,857,035,376,515,408,405,385,617,641,414,109,138,383,943,969,633,451,
993,711,294,255,591,230,343,787,385,639,059,586,342,217,571,187,188,160,370,
437,078,721,053,180,043,419,702,352,625,288,767,238,987,284,844,545,129,327,
144,047,288,084,896,334,562,925,374,366,558,193,362,590,918,226,197,427,588,
446,041,664,478,895,394,550,959,191,516,728,033,974,455,396,707,297,336,624,
703,582,754,192,911,344,752,347,331,966,414,187,769,397,848,753,756,220,550,
332,085,920,527,550,174,444,959,169,123,606,777,137,580,177,102,304,771,113,
446,614,637,392,067,925,338,169,554,385,531,303,768,182,072,555,083,153,196,
242,765,838,297,634,243,688,141,387,244,031,780,780,392,734,763,776,174,462,
705,014,774,411,619,362,695,622,021,998,610,798,292,166,058,331,618,307,807,
633,096,911,139,701,643,588,942,098,047,857,756,432,347,322,214,585,268,642,
182,146,301,695,062,298,234,623,875,076,152,100,782,129,298,376,026,188,798,
356,134,950,201,264,082,642,313,446,376,437,397,177,692,025,784,527,444,873,
634,449,176,967,069,387,220,537,292,953,286,773,242,468,187,178,196,243,830,
852,694,530,014,770,414,480,944,642,405,996,870,495,290,718,361,457,219,637,
287,631,936,704,956,393,716,462,421,019,661,166,059,142,711,649,782,199,308,
928,619,906,365,344,392,280,604,913,087,902,953,593,155,315,004,856,784,831,
426,826,780,691,206,321,990,176,048,783,343,640,188,277,473,932,628,308,376,
217,775,007,035,486,671,120,918,881,363,449,959,879,551,648,000,204,640,085,
882,966,999,806,189,268,924,752,145,035,711,293,927,284,852,130,522,910,797,
105,448,009,024,681,266,967,433,492,079,370,394,024,118,049,025,862,834,407,
620,097,985,227,431,694,060,536,994,354,319,696,683,338,582,982,169,011,743,
528,591,648,497,248,104,899,844,607,363,963,672,438,987,928,285,447,268,650,
934,753,327,320,751,328,323,257,200,531,677,847,222,041,099,711,779,393,969,
186,134,268,421,636,642,962,508,292,644,953,024,395,003,036,997,511,033,232,
634,438,449,004,229,140,599,394,284,468,098,021,937,957,416,533,150,240,866,
311,941,356,725,809,205,829,474,828,930,870,587,450,238,160,167,717,202,767,
027,853,633,316,818,619,147,175,370,045,038,326,925,259,274,942,395,258,463,
166,138,113,480,745,246,883,678,768,443,921,519,978,925,197,438,883,174,361,
866,507,650,118,267,190,007,064,660,738,684,936,559,089,128,220,108,417,415,
898,381,769,955,679,792,338,071,482,269,400,040,271,802,785,201,070,370,370,
003,995,940,955,336,156,360,476,118,975,477,868,560,032,809,890,073,962,454,
510,076,864,446,709,563,701,177,887,729,351,083,070,340,771,367,519,967,889,
097,300,684,769,908,492,268,097,160,376,258,857,298,731,921,478,402,483,639,
616,543,429,738,524,574,533,389,547,249,937,733,030,140,091,566,297,036,454,
702,500,801,192,435,947,625,758,850,408,313,372,824,565,771,882,029,247,547,
125,551,871,191,346,894,321,199,454,794,113,635,065,140,111,309,190,968,202,
464,640,433,221,219,604,332,355,033,627,113,373,984,164,063,151,309,687,024,
576,294,031,083,812,465,126,507,700,617,662,875,865,432,866,271,335,760,870,
563,008,000,350,311,075,016,304,518,233,712,308,382,856,091,932,754,769,812,
682,516,517,538,637,133,787,621,994,494,320,682,422,869,553,686,125,194,006,
074,240,600,193,274,171,341,617,650,667,006,166,083,493,427,810,116,222,914,
997,546,092,729,941,614,420,854,317,334,225,773,929,119,098,342,448,616,757,
812,024,300,315,408,083,934,930,460,793,309,779,247,717,700,537,279,439,592,
233,782,029,675,506,521,778,117,970,437,388,063,693,166,279,462,650,362,514,
157,787,783,851,421,673,576,127,028,365,292,326,176,481,673,356,029,533,102,
100,516,493,990,669,533,661,169,112,402,273,030,439,335,775,666,309,851,313,
865,456,598,441,485,531,346,330,682,587,152,246,248,970,481,206,728,237,090,
027,630,051,323,087,807,450,528,107,527,750,156,993,818,202,387,694,308,051,
182,070,912,809,092,286,355,313,410,993,749,999,945,881,845,460,559,388,410,
645,808,950,432,479,776,037,793,034,127,361,162,823,801,238,163,146,007,263,
373,471,513,998,389,745,717,448,463,747,135,555,079,325,721,866,896,413,424,
714,990,405,222,259,054,793,966,702,180,606,316,806,636,026,881,873,709,128,
281,480,858,920,517,897,975,079,946,041,743,242,889,610,070,435,039,058,461,
824,625,532,001,340,179,466,847,024,435,579,020,232,358,425,475,001,677,484,
398,033,629,348,270,081,278,268,507,810,601,704,321,329,570,032,299,076,143,
397,406,485,884,233,693,148,938,523,153,440,254,427,700,075,648,717,172,826,
308,587,765,613,285,249,085,516,336,864,599,533,619,684,416,317,264,117,153,
314,961,200,858,526,243,985,585,885,626,946,966,349,794,247,138,752,157,151,
786,711,504,526,113,699,091,872,161,471,037,864,341,065,818,764,904,800,739,
192,976,592,812,079,681,863,622,377,008,283,616,508,445,694,649,725,253,125,
100,078,012,499,827,636,892,365,628,118,715,896,550,587,863,992,967,368,687,
679,326,168,702,648,293,370,944,377,255,178,998,373,587,444,220,229,409,078,
068,124,872,222,650,886,399,548,123,094,983,893,176,575,168,053,589,619,631,
417,326,441,290,556,419,304,345,231,094,066,188,046,337,722,095,540,723,516,
590,926,887,472,096,884,087,091,793,802,699,448,646,410,136,734,690,965,906,
426,175,388,312,451,671,425,474,232,141,229,639,154,763,472,663,310,105,850,
436,926,472,048,303,006,192,679,999,585,056,942,540,479,720,741,358,690,090,
431,716,665,080,004,324,011,705,229,446,737,089,984,670,585,158,129,878,590,
916,237,381,585,939,267,251,958,258,333,202,682,741,057,314,581,451,187,383,
363,515,487,932,645,204,542,245,628,252,219,657,107,074,537,702,472,743,961,
463,224,289,990,672,302,203,174,377,997,524,454,828,257,989,054,737,844,521,
440,394,073,091,795,200,161,536,967,033,304,015,989,319,109,118,783,327,268,
490,137,171,524,862,341,882,188,911,352,416,266,962,190,823,658,989,424,100,
050,312,205,453,342,348,928,806,535,737,101,271,083,894,155,780,795,303,767,
238,445,058,321,617,992,139,888,583,238,807,774,667,237,653,969,760,183,457,
751,545,747,684,531,208,045,414,134,882,375,874,841,784,357,712,559,232,545,
847,315,612,784,843,822,318,077,854,357,122,036,743,855,407,215,765,624,833,
118,037,865,983,372,915,856,881,348,102,380,150,523,810,773,762,241,119,758,
304,706,871,774,946,655,303,134,337,189,376,331,588,400,789,052,929,837,008,
236,377,843,995,920,349,361,353,665,866,980,161,181,510,611,369,459,774,317,
115,355,372,718,238,834,534,464,949,161,240,915,623,659,330,784,228,357,569,
032,952,063,194,626,461,872,764,819,174,077,899,237,430,968,799,889,240,223,
042,255,188,771,770,425,537,493,176,126,138,271,163,603,585,195,517,626,310,
479,378,920,730,734,882,316,532,863,971,261,850,431,331,129,858,298,812,327,
890,285,970,839,550,878,008,167,124,302,353,307,727,656,219,494,803,514,110,
664,025,224,751,196,738,563,291,604,280,765,471,496,668,337,640,533,154,951,
868,416,372,903,322,876,678,282,250,780,141,768,366,152,635,801,392,788,933,
870,400,095,603,997,493,351,901,368,049,208,142,953,614,256,720,797,213,078,
117,112,465,044,199,935,291,722,297,899,770,274,409,727,367,273,828,001,786,
533,191,403,445,273,366,950,341,874,381,292,536,220,618,658,667,261,394,002,
353,610,288,769,878,460,997,031,401,741,712,772,214,323,844,658,780,920,134,
281,711,883,691,979,018,267,213,371,519,901,869,938,552,032,160,149,107,809,
458,759,575,268,666,999,786,791,880,977,036,736,763,025,363,168,438,020,593,
649,528,377,142,437,294,789,441,284,675,957,267,173,562,375,884,629,993,045,
141,581,245,055,463,742,670,431,827,507,588,921,483,648,134,295,986,944,797,
903,377,645,956,508,709,746,960,531,356,373,073,429,138,492,018,835,588,419,
179,241,907,896,549,600,445,165,597,143,154,007,239,257,765,278,703,701,357,
019,900,608,312,066,010,238,378,214,508,829,469,338,061,611,187,212,276,253,
808,986,150,473,236,719,598,449,380,324,359,919,816,594,805,677,078,971,218,
320,124,163,572,002,262,022,682,232,790,995,227,568,838,700,170,646,232,127,
542,378,115,031,682,323,771,570,440,754,139,977,365,686,053,089,949,716,709,
364,847,001,034,794,045,531,950,194,965,283,475,344,595,813,788,313,310,844,
948,347,371,489,808,332,931,191,903,638,496,325,063,732,219,169,366,138,660,
842,900,667,976,474,959,515,732,243,134,888,633,770,643,538,248,240,974,998,
584,289,990,732,575,592,763,844,637,968,336,330,309,053,569,589,994,985,653,
242,141,493,190,280,435,551,287,997,053,293,037,095,433,480,607,643,890,904,
822,799,675,206,063,221,725,362,737,712,246,973,974,661,774,056,042,448,271,
286,481,911,371,603,839,196,168,379,374,094,935,390,783,012,535,511,103,023,
405,745,664,069,230,507,017,800,322,360,003,814,701,703,499,694,544,210,403,
296,696,775,339,347,649,348,712,814,940,752,368,178,238,569,162,591,251,670,
591,869,097,284,776,683,889,913,755,635,800,602,346,057,723,576,532,018,623,
477,954,780,313,968,347,528,343,510,008,178,643,996,659,713,825,425,175,091,
371,369,927,109,746,475,060,914,866,486,232,372,772,247,968,437,358,150,561,
728,406,387,060,958,018,889,456,762,982,373,170,375,090,258,209,530,752,502,
525,193,486,921,275,886,378,048,073,507,093,402,136,971,226,755,920,416,687,
078,897,261,848,939,762,626,824,514,422,760,729,667,082,943,547,719,558,853,
070,513,983,242,906,423,731,054,718,770,064,122,899,236,012,129,753,524,483,
947,324,879,415,135,850,839,936,391,323,210,149,792,635,914,827,969,361,024,
193,346,346,418,129,181,919,057,892,676,677,379,338,236,136,000,039,601,341,
825,927,508,193,161,935,399,577,118,795,980,844,166,756,745,876,644,915,107,
969,891,026,148,930,031,945,840,020,204,445,738,766,853,404,969,663,081,022,
423,531,876,188,651,937,607,357,921,290,337,212,114,654,536,342,528,319,906,
959,693,886,972,171,137,109,979,928,733,794,730,369,945,381,878,365,921,864,
013,204,455,240,867,105,466,533,317,144,969,859,708,639,155,497,095,378,385,
973,913,596,689,811,888,391,248,716,971,169,010,658,860,328,233,768,590,515,
492,958,026,577,518,519,874,334,092,280,340,847,358,854,606,568,167,609,453,
806,526,148,240,980,371,961,019,399,017,406,419,871,241,801,881,429,607,858,
833,670,303,446,019,816,844,152,885,569,586,482,164,104,741,654,919,387,176,
750,139,302,309,208,376,949,228,604,224,830,306,747,316,474,256,920,552,539,
894,785,598,585,397,550,049,109,526,594,786,920,945,145,361,225,414,784,074,
930,475,747,752,675,567,742,428,332,352,475,565,367,197,487,870,067,043,961,
074,348,050,959,854,627,372,157,141,108,504,296,751,803,453,211,657,042,015,
336,903,694,033,703,456,856,664,764,440,386,560,486,499,450,344,903,086,390,
455,588,562,150,718,472,009,698,992,931,950,896,850,690,406,967,704,448,181,
153,984,712,909,152,291,650,528,025,103,319,909,515,887,220,067,009,088,719,
050,809,671,265,725,483,879,484,455,194,791,363,804,856,690,523,422,439,509,
480,268,979,366,130,316,697,614,522,869,981,895,914,321,200,742,254,411,868,
280,467,494,619,486,096,148,553,650,329,704,801,555,861,047,172,442,422,177,
340,562,254,526,118,817,110,616,048,149,677,806,890,582,810,441,813,124,033,
051,823,211,562,391,134,337,566,389,947,947,076,771,976,817,475,378,817,400,
305,052,985,871,271,615,770,599,773,006,674,905,632,903,147,077,708,900,281,
695,970,948,891,328,642,556,815,222,296,065,444,544,540,938,205,626,057,918,
470,719,013,472,702,298,557,630,972,484,687,191,459,926,041,286,650,780,029,
814,330,647,218,242,849,433,612,545,318,721,987,105,887,405,786,130,835,404,
288,087,011,293,576,665,452,344,233,318,296,549,420,702,834,791,305,646,852,
512,011,295,390,711,033,392,114,979,584,726,442,921,836,883,766,053,242,192,
845,119,048,256,770,912,999,554,807,907,217,050,731,560,473,311,753,304,028,
681,136,574,713,128,003,532,180,014,689,723,689,606,532,606,641,182,000,208,
381,333,469,136,856,664,498,194,435,241,853,673,353,337,382,875,573,889,695,
240,003,990,049,472,698,106,760,414,327,787,302,670,738,593,430,238,016,064,
932,716,780,490,299,180,843,674,808,574,091,943,480,657,212,676,625,279,274,
139,781,524,716,634,357,537,696,568,030,146,321,875,710,024,250,295,628,959,
754,600,197,458,860,418,173,324,349,745,928,116,836,633,152,271,310,473,235,
590,180,047,501,288,744,788,403,903,340,011,207,377,737,427,181,008,018,519,
090,960,643,192,678,395,685,278,221,225,478,007,065,944,149,435,604,269,541,
954,054,733,328,617,451,912,592,878,864,697,017,772,385,117,867,975,552,430,
102,399,916,962,956,517,155,013,922,317,284,527,927,571,095,834,179,426,620,
802,575,722,758,263,881,374,311,694,362,840,933,651,255,746,599,370,539,750,
641,416,279,887,081,424,549,084,715,309,634,958,629,725,152,285,830,816,288,
092,509,122,370,706,376,310,754,298,793,651,031,511,712,646,490,339,202,421,
015,630,763,976,545,726,207,990,987,637,969,285,479,402,815,637,196,390,805,
442,843,450,470,403,831,893,697,044,893,936,736,491,634,754,265,920,142,901,
367,572,689,421,042,499,973,605,748,320,495,227,267,591,702,364,583,646,838,
504,109,878,069,783,513,427,856,415,681,159,673,285,613,236,945,576,030,604,
984,672,879,149,478,626,844,476,702,438,563,544,414,349,178,760,823,816,869,
172,302,728,146,963,711,373,042,631,727,986,467,019,661,305,893,496,143,568,
601,057,840,638,517,663,062,882,142,548,950,746,903,013,193,223,238,763,766,
176,564,380,391,241,601,645,586,313,426,227,070,650,666,643,379,328,884,220,
303,925,045,291,183,256,460,924,195,073,678,059,723,879,710,258,404,691,503,
297,174,249,491,350,170,603,467,827,527,072,806,620,230,387,985,318,662,209,
273,300,660,739,027,373,099,312,785,348,606,732,462,887,606,975,469,937,013,
501,099,749,127,989,012,687,860,817,860,985,375,199,328,633,132,180,503,813,
144,348,186,675,469,218,856,249,065,223,787,312,688,804,758,802,648,078,863,
791,168,251,893,957,458,131,937,614,717,879,339,330,159,968,414,272,144,140,
156,582,094,307,492,611,844,938,007,392,511,698,528,343,504,152,301,326,584,
307,825,597,647,015,823,115,100,639,605,927,493,237,023,752,650,889,150,003,
543,852,608,521,566,552,181,446,479,501,212,051,998,006,572,516,282,116,011,
044,103,990,172,503,702,824,630,214,306,851,593,405,511,156,456,536,069,128,
147,167,194,856,397,812,221,610,598,583,365,430,383,533,020,487,579,276,630,
279,153,793,761,396,085,350,122,868,852,431,338,210,164,389,718,342,975,795,
986,413,924,989,852,964,421,281,927,103,991,510,336,149,854,215,450,459,154,
607,308,674,887,073,118,236,003,776,256,842,540,637,345,958,228,272,717,977,
248,110,203,505,468,845,419,543,277,495,738,900,643,967,180,301,042,350,764,
384,841,934,855,852,884,198,420,744,913,723,286,393,485,667,315,650,609,100,
790,930,674,854,514,024,961,293,518,131,046,355,892,593,077,805,998,474,256,
093,173,504,049,335,815,487,363,159,655,914,936,820,520,301,760,773,018,769,
884,574,470,049,335,431,066,409,432,879,067,029,343,055,659,463,583,144,027,
712,136,820,991,556,275,382,435,914,216,779,170,679,412,397,413,237,682,865,
694,283,524,542,127,507,118,862,577,693,326,208,632,390,415,572,475,801,034,
485,117,367,628,853,862,580,326,222,906,481,926,942,912,134,615,442,594,342,
725,022,666,586,482,214,640,465,525,185,276,745,299,966,255,295,546,217,961,
051,730,841,808,125,638,531,808,436,023,415,711,690,143,382,879,622,386,729,
092,800,939,666,784,589,500,546,481,118,992,018,535,520,936,183,504,565,175,
958,371,931,785,988,288,253,827,927,548,772,166,414,845,184,661,761,966,007,
952,822,236,257,840,675,609,248,054,904,346,397,625,706,846,606,666,421,961,
572,273,984,434,060,593,861,913,665,909,648,435,283,409,359,434,997,876,093,
403,968,297,844,647,246,554,402,830,340,491,922,379,739,074,341,210,946,394,
392,243,590,837,692,753,717,966,157,184,113,936,320,575,309,452,084,655,024,
427,110,405,650,284,779,688,556,002,154,829,684,113,527,954,670,352,619,044,
831,368,771,295,642,593,437,980,533,733,141,568,664,308,528,068,072,463,742,
972,233,411,629,439,795,967,010,536,530,137,007,342,651,620,098,821,528,058,
525,966,566,034,192,276,104,449,885,769,970,765,830,471,540,862,307,978,129,
059,627,307,049,803,631,536,144,528,568,376,502,726,713,766,679,899,387,188,
508,907,859,984,686,726,943,476,765,734,417,114,905,326,133,844,305,585,413,
269,917,232,976,223,599,242,164,683,705,995,758,125,505,856,108,225,624,794,
156,531,950,185,844,815,643,579,326,239,722,083,270,874,318,096,016,888,936,
971,367,352,748,332,285,834,248,759,141,477,658,741,782,691,747,219,402,492,
821,969,509,946,301,710,936,539,841,452,432,322,099,991,224,018,148,545,938,
212,721,014,148,926,319,197,729,394,558,944,229,120,979,145,559,994,798,921,
105,890,052,693,465,506,758,282,215,370,277,984,878,029,166,454,527,387,728,
399,713,604,839,101,631,461,667,539,871,620,200,292,054,029,388,716,591,237,
548,978,383,704,022,580,508,495,656,948,625,053,284,407,458,195,810,138,370,
320,370,223,794,227,673,734,098,204,113,379,571,775,641,046,705,059,715,297,
088,506,056,838,300,265,324,345,937,992,046,461,444,562,434,697,563,702,634,
782,262,001,336,653,288,392,244,088,414,618,467,891,333,068,130,429,148,071,
191,455,042,554,265,139,599,466,590,254,881,800,349,297,584,287,958,835,810,
300,676,495,968,420,261,288,682,894,766,635,090,302,734,857,027,195,822,997,
812,262,632,614,275,846,518,966,552,334,110,649,350,183,227,359,664,846,710,
451,097,219,892,182,444,821,234,851,891,650,672,702,708,840,054,243,076,608,
904,995,051,084,021,652,820,228,856,187,516,121,943,710,615,831,945,317,545,
849,069,349,300,830,360,841,321,763,174,397,681,769,040,039,768,980,497,129,
965,721,266,524,621,359,867,405,319,793,854,693,072,728,656,702,376,534,797,
400,112,046,642,459,096,484,124,375,316,481,031,488,541,650,904,498,559,852,
263,847,407,420,653,662,228,650,702,420,158,006,094,089,954,281,160,451,194,
598,165,769,206,780,320,918,143,424,881,247,748,845,452,661,998,699,430,302,
232,036,490,038,182,973,929,703,798,558,590,874,610,125,688,866,396,328,115,
607,148,683,087,030,543,580,626,351,235,598,456,276,476,206,733,374,785,198,
808,223,581,695,304,266,339,234,827,969,992,814,285,273,066,882,696,588,262,
391,013,377,797,807,650,548,413,448,502,906,224,445,480,123,524,193,749,983,
217,695,486,483,214,673,820,842,331,949,805,572,530,363,582,371,455,412,345,
556,350,891,475,262,515,556,505,469,186,262,778,547,346,362,762,343,743,725,
971,245,046,183,860,943,806,917,841,385,695,289,715,394,659,809,617,256,867,
063,767,188,197,817,312,466,859,860,963,486,114,452,464,220,879,815,728,090,
035,704,840,770,912,295,131,990,126,134,471,950,751,077,789,257,252,508,848,
519,643,469,813,484,441,169,698,885,677,102,379,245,404,685,753,152,654,015,
390,836,396,468,543,043,242,348,301,162,539,682,381,545,883,741,261,343,037,
541,402,823,156,888,258,829,536,778,250,370,246,093,743,862,091,242,581,646,
999,055,525,617,465,413,922,609,490,480,144,510,721,304,128,603,920,158,841,
418,721,649,503,481,913,835,262,225,419,948,287,631,159,061,747,423,211,553,
469,098,560,601,091,610,834,292,341,333,920,530,312,594,894,828,201,704,714,
171,644,585,296,822,538,177,005,747,990,031,547,930,162,718,632,712,811,918,
932,355,685,917,715,793,215,800,262,973,623,120,939,403,065,739,643,426,793,
688,842,975,351,415,774,622,007,715,500,325,419,380,874,228,416,651,410,700,
207,998,700,334,016,248,162,430,746,194,497,020,781,075,905,089,454,099,570,
876,972,192,979,132,933,467,089,308,410,660,804,204,650,954,646,422,408,776,
591,382,147,645,438,205,499,505,641,588,565,676,358,594,980,454,127,614,668,
129,989,061,846,198,258,481,030,967,485,807,513,920,862,779,585,780,214,539,
356,635,456,683,299,085,839,240,060,492,332,022,381,923,389,334,094,497,545,
649,781,372,701,858,456,077,364,822,108,647,114,505,375,162,888,112,853,157,
285,457,762,801,004,857,116,151,636,359,884,244,403,838,590,439,037,664,862,
612,607,305,089,906,536,355,021,710,318,548,579,447,186,113,169,696,921,031,
940,988,978,460,754,184,677,515,356,309,451,471,015,371,479,778,683,676,352,
133,430,617,524,204,836,137,975,555,801,518,528,481,153,729,220,361,289,376,
659,195,974,057,363,889,357,995,390,471,088,532,811,391,496,538,288,993,164,
404,848,511,136,782,536,494,367,813,341,472,755,406,575,811,538,777,692,840,
944,760,316,751,161,097,353,324,311,318,763,033,028,081,255,276,744,717,334,
291,170,618,212,171,431,630,412,595,951,194,287,772,215,912,242,561,961,604,
562,163,912,645,582,991,892,520,754,235,877,230,376,393,303,193,932,418,464,
772,808,110,560,950,549,440,030,298,173,561,124,001,051,296,227,618,216,279,
383,983,433,899,185,648,431,562,964,577,838,738,060,023,871,139,389,260,820,
474,142,216,592,135,027,103,492,559,848,905,412,272,425,509,996,569,242,454,
478,558,457,833,846,573,912,129,431,349,198,572,986,508,543,437,016,202,700,
220,387,168,153,246,070,714,598,833,450,509,068,081,615,901,052,042,281,499,
316,692,620,700,243,715,489,789,499,964,052,891,914,375,623,576,685,524,488,
968,653,843,171,867,571,043,671,640,085,813,517,024,146,124,601,300,884,072,
370,956,638,838,033,436,718,409,988,942,845,540,559,452,265,302,753,813,757,
264,933,115,772,145,302,972,767,391,845,167,222,412,801,389,911,485,293,630,
569,977,451,149,235,865,227,525,161,752,834,652,710,754,364,463,899,703,289,
402,206,837,656,119,509,140,523,305,336,585,651,335,420,258,427,794,853,692,
385,296,218,655,903,093,679,679,477,148,392,118,490,541,756,538,067,975,177,
728,721,543,665,613,167,388,633,361,433,806,064,076,932,694,314,449,311,927,
859,727,362,887,448,147,851,696,438,789,260,826,265,732,233,101,930,172,024,
651,039,837,544,387,005,071,672,062,750,419,114,081,235,847,225,139,982,282,
271,539,869,284,758,370,164,270,923,498,539,820,498,081,048,911,020,559,241,
826,776,516,548,915,177,827,280,949,647,774,266,551,881,261,494,859,235,940,
435,977,333,708,836,067,748,431,416,565,503,140,600,891,775,012,787,605,589,
275,223,908,652,395,362,891,562,733,093,667,509,745,724,365,044,611,751,308,
761,434,321,724,578,940,834,007,191,023,397,872,277,250,312,598,989,075,768,
671,921,270,925,157,677,413,649,195,577,804,846,607,630,672,673,606,652,483,
860,653,631,479,702,851,831,478,406,360,175,881,460,000,579,538,274,708,267,
493,330,378,706,241,336,883,444,215,812,121,017,609,826,346,977,409,065,435,
629,382,930,120,443,047,490,036,166,141,308,023,501,538,064,125,505,850,120,
044,068,021,365,316,703,045,901,617,459,442,698,002,808,556,450,888,246,101,
209,890,390,149,960,777,404,264,604,562,864,481,835,385,515,712,491,258,253,
948,011,925,943,698,565,967,240,198,872,290,123,606,970,284,945,594,032,670,
938,200,347,129,645,940,241,527,399,929,565,537,961,569,410,530,715,374,738,
219,362,893,093,098,328,237,223,948,049,452,009,473,508,475,668,342,421,575,
946,538,595,378,236,863,381,813,526,465,666,512,392,813,265,173,702,487,727,
721,768,377,953,324,898,414,926,807,319,676,469,792,582,933,521,170,535,630,
265,226,143,234,491,605,536,422,950,772,183,798,631,771,399,846,239,472,573,
799,331,818,990,373,473,608,354,814,202,457,678,706,044,873,829,664,875,405,
120,068,060,769,144,220,806,632,235,703,509,475,658,451,096,246,300,144,801,
683,856,145,970,888,446,002,638,431,315,653,093,607,649,931,620,650,025,548,
942,380,717,278,783,354,625,590,064,455,935,314,165,521,295,523,730,276,237,
373,409,070,087,514,441,779,733,816,356,107,516,854,049,037,979,030,790,468,
393,258,846,337,409,131,123,429,398,838,496,150,303,896,680,195,807,525,690,
850,174,798,543,903,564,285,059,464,550,267,254,508,292,680,881,835,314,896,
811,585,682,307,213,805,957,202,030,165,195,475,156,584,499,976,552,638,850,
476,059,593,417,797,087,544,838,202,904,430,494,919,431,119,840,798,506,942,
268,452,240,034,321,206,431,402,048,187,349,365,479,063,423,520,278,498,251,
077,338,074,811,534,292,978,760,440,066,260,877,356,841,643,327,998,285,598,
455,965,772,179,659,953,901,570,857,770,425,951,797,570,967,029,254,352,473,
912,752,563,389,144,970,198,826,963,893,289,293,010,878,341,431,147,550,738,
813,292,606,899,628,255,504,159,220,415,495,104,085,274,671,423,301,060,211,
524,397,106,311,612,344,939,257,842,460,702,760,829,616,351,244,488,357,294,
667,326,167,656,391,255,400,677,161,461,541,564,766,591,728,510,302,987,564,
983,307,102,286,895,646,625,636,578,137,211,561,135,852,058,758,430,705,903,
760,265,987,229,511,708,206,898,303,168,362,952,393,889,968,348,547,000,684,
290,445,130,438,994,785,626,707,009,170,263,116,349,094,026,289,145,337,012,
616,732,151,618,055,815,811,741,701,052,080,571,621,607,804,744,230,357,342,
573,458,091,362,989,150,414,286,334,237,646,007,472,823,335,232,611,985,428,
346,558,561,716,574,887,237,634,894,982,279,855,333,594,318,124,905,951,221,
402,655,635,515,691,691,539,748,280,223,019,053,556,052,351,460,518,671,516,
817,933,305,801,960,837,828,666,605,403,838,331,242,515,422,694,524,472,285,
139,869,967,293,622,039,104,475,448,493,203,078,764,321,139,507,546,276,799,
790,857,341,039,168,846,827,043,285,359,324,782,120,309,848,347,441,824,540,
058,072,451,431,994,110,205,767,172,681,004,120,169,500,770,674,210,343,185,
834,025,054,025,121,412,755,154,231,043,544,862,779,283,762,552,802,826,243,
370,019,482,347,400,271,170,396,192,716,669,558,981,755,949,715,761,998,574,
846,505,586,299,591,361,743,079,745,486,876,741,349,197,162,469,453,409,115,
721,576,534,838,739,353,771,524,664,769,336,533,476,802,566,039,966,432,880,
310,697,425,920,372,816,216,000,215,455,737,111,625,685,378,796,152,412,487,
031,296,640,491,368,937,746,850,603,250,344,726,761,802,244,085,983,788,338,
149,742,791,621,344,472,161,435,373,858,981,740,842,222,778,170,678,115,254,
268,060,473,293,541,507,478,361,002,991,367,788,909,191,883,331,038,287,062,
427,670,335,951,139,010,094,538,495,712,642,676,093,780,349,501,573,707,969,
133,595,877,238,293,684,121,316,057,076,271,787,085,047,354,522,640,162,645,
842,961,130,808,192,124,174,888,715,096,808,277,695,320,990,047,343,140,702,
867,072,244,839,617,276,587,317,772,900,254,445,863,709,568,230,461,990,915,
981,518,365,542,128,750,956,167,944,027,649,498,866,916,767,103,019,312,823,
627,036,881,279,272,529,383,640,001,839,171,204,155,947,297,796,332,319,341,
283,274,576,081,624,989,089,511,209,749,962,526,646,718,385,539,596,217,053,
376,489,111,140,255,243,320,492,273,492,799,235,201,938,136,504,512,950,993,
777,144,608,902,247,571,209,027,074,347,404,673,256,459,341,805,145,479,496,
903,286,932,681,852,161,492,484,650,182,321,312,751,808,420,214,029,434,420,
761,403,209,483,973,285,016,937,075,953,333,742,382,705,320,061,689,687,059,
959,039,900,312,645,194,248,942,181,650,185,983,710,608,795,806,638,745,821,
949,077,619,408,420,823,012,283,362,233,222,860,492,419,891,662,223,362,065,
788,890,676,534,291,042,630,382,505,034,737,053,874,204,879,295,053,189,848,
303,335,384,521,593,777,729,013,517,139,510,032,321,810,306,044,410,342,719,
395,861,035,144,284,460,705,471,775,852,185,175,241,807,929,592,610,533,017,
464,714,303,968,687,467,960,654,843,240,193,910,820,119,497,323,396,518,980,
192,954,114,729,194,820,262,269,944,354,028,889,750,009,485,256,505,036,587,
953,854,359,290,269,183,106,738,372,078,702,826,833,288,966,963,084,863,272,
499,481,868,079,249,443,947,758,666,200,002,895,891,369,749,960,805,441,836,
885,095,142,415,731,341,681,838,657,647,783,361,749,402,614,062,758,492,442,
429,347,428,114,105,973,219,565,377,015,389,227,691,280,658,991,509,582,320,
687,925,002,673,294,458,284,185,693,109,992,552,132,516,127,612,748,360,211,
261,750,782,569,124,766,164,236,182,365,204,588,667,181,817,776,100,487,391,
098,629,048,963,861,015,914,176,950,071,027,020,206,157,028,742,024,596,471,
812,848,553,019,509,454,695,136,884,994,439,433,162,588,454,029,830,883,133,
311,310,926,717,488,479,571,591,641,722,647,680,615,869,781,102,171,178,700,
474,600,412,745,754,600,489,644,312,847,112,210,603,557,536,445,685,031,212,
589,475,248,175,323,555,376,772,673,036,164,257,067,945,096,348,299,888,873,
789,821,008,979,212,373,303,296,640,670,395,049,832,536,837,977,454,055,839,
821,020,317,127,713,872,228,871,248,864,997,694,154,760,257,653,656,089,935,
158,884,066,435,416,515,041,668,810,520,392,245,858,637,735,158,735,203,974,
501,992,646,699,769,607,664,790,389,346,516,366,715,345,577,152,121,324,571,
508,483,605,379,138,523,641,821,263,102,489,539,353,091,080,402,075,444,355,
504,868,604,574,628,046,227,555,430,628,101,567,881,606,100,397,101,725,403,
625,124,585,690,909,663,995,626,277,810,977,324,148,055,092,856,960,040,767,
863,793,372,435,084,984,314,137,724,744,945,480,651,173,738,667,105,602,448,
621,609,786,008,470,255,701,058,367,591,800,347,581,702,179,208,456,216,043,
872,977,858,321,141,802,473,797,782,094,976,710,135,612,092,557,575,743,659,
662,497,937,977,481,182,054,492,754,016,138,108,344,604,559,048,327,254,114,
112,374,919,937,327,862,348,339,021,830,627,052,770,325,532,833,777,287,279,
715,753,910,376,634,739,348,165,612,407,995,255,104,045,210,713,580,557,435,
741,945,496,202,416,395,794,860,897,502,004,365,868,128,919,121,807,293,965,
696,860,123,489,072,277,420,562,582,736,973,887,043,955,076,173,666,493,001,
678,021,368,461,388,982,998,462,187,206,231,167,855,546,280,614,106,368,189,
154,620,271,260,289,834,803,838,691,088,452,682,556,899,246,492,873,859,152,
514,384,919,747,394,276,049,497,815,690,883,324,183,437,555,441,106,231,421,
147,586,364,197,050,786,582,748,694,393,139,384,698,280,155,435,258,523,035,
158,786,385,718,735,622,297,739,850,100,101,208,805,730,423,577,905,566,383,
654,307,418,367,899,638,930,242,746,104,074,444,512,587,155,078,912,293,567,
608,346,374,836,649,503,107,159,919,658,000,771,898,738,935,853,000,064,307,
616,320,054,341,437,565,532,529,363,842,613,140,957,578,250,551,581,128,211,
878,970,772,952,044,316,247,822,190,744,268,752,020,209,667,973,950,783,603,
337,403,652,171,645,759,157,104,218,786,426,205,388,468,831,790,690,027,101,
027,370,219,610,527,971,474,374,994,421,637,038,881,693,568,209,697,626,380,
156,216,728,198,751,246,964,478,361,197,957,537,970,568,111,750,110,476,436,
591,948,782,246,958,088,512,417,963,657,531,321,766,431,621,011,678,921,590,
439,651,513,444,136,718,897,247,692,425,510,057,615,223,147,281,935,639,926,
578,765,429,697,056,724,624,662,044,582,879,632,845,918,315,222,019,539,199,
592,609,087,919,292,621,694,048,743,315,547,697,198,689,619,522,226,199,369,
768,201,308,842,917,526,138,628,044,357,278,644,890,598,475,640,666,667,975,
502,759,746,840,055,791,386,131,291,940,523,487,514,534,954,270,747,414,862,
597,510,593,692,992,549,401,476,286,524,546,831,359,754,239,838,966,487,011,
772,990,141,577,761,470,636,864,854,020,802,704,340,753,705,629,409,137,239,
493,395,673,963,858,143,071,246,247,328,863,362,254,832,631,687,841,715,879,
251,497,935,358,082,213,989,307,887,762,822,363,993,674,274,161,472,273,750,
303,030,010,905,046,519,643,059,323,151,532,507,468,627,501,871,513,499,135,
853,575,695,657,764,450,119,931,245,132,788,420,642,284,803,900,108,743,916,
313,116,055,182,383,568,830,420,691,820,791,157,489,257,899,132,027,281,002,
492,605,064,939,878,318,529,680,603,019,264,758,298,297,377,019,671,830,200,
004,579,246,932,395,268,543,515,747,324,027,999,488,808,831,801,381,396,344,
379,866,645,167,231,181,443,411,434,255,004,075,379,146,427,114,141,286,615,
712,891,722,077,487,674,328,192,023,643,617,326,546,406,438,219,599,279,342,
954,171,063,912,623,230,397,846,956,090,341,655,130,860,832,040,954,101,551,
222,551,669,158,658,841,828,680,023,427,374,734,153,140,914,767,085,945,241,
391,510,613,972,443,556,775,059,646,829,234,996,730,694,993,706,834,204,107,
408,852,920,146,611,679,665,689,588,628,058,436,865,640,600,093,111,698,527,
814,009,149,534,668,766,751,031,123,144,429,600,891,002,980,110,321,636,473,
117,248,796,401,974,422,284,679,003,470,161,322,328,926,553,467,745,479,058,
989,296,262,059,830,133,948,410,761,244,688,369,183,779,610,846,751,280,933,
062,923,794,108,648,813,887,506,582,287,223,814,303,728,123,703,578,513,336,
014,252,957,053,439,367,049,964,121,128,217,619,510,030,344,109,077,276,645,
865,546,882,804,187,658,641,024,437,275,153,713,321,071,663,858,478,967,287,
436,966,178,248,082,400,078,800,904,703,583,721,038,102,115,242,479,435,189,
052,463,525,670,289,455,350,826,761,906,235,103,089,532,340,509,596,761,779,
984,234,840,948,403,092,193,385,849,546,033,010,028,039,274,049,039,554,785,
428,881,263,551,821,739,901,214,959,079,709,307,176,221,152,946,617,910,238,
177,187,697,224,533,316,161,785,241,333,897,426,618,147,559,162,576,360,673,
828,661,365,152,093,205,754,141,962,089,018,519,596,844,235,475,233,371,589,
973,811,987,966,221,910,537,482,859,429,869,068,776,012,662,208,158,339,640,
952,208,638,351,093,362,384,383,665,252,838,425,728,299,545,365,215,589,154,
101,916,193,677,663,067,319,566,595,975,645,555,283,868,494,154,505,187,100,
712,415,333,543,562,368,302,019,258,290,266,068,923,926,614,444,911,421,278,
897,052,586,137,820,617,878,933,532,152,731,791,092,554,864,211,168,170,295,
749,795,998,057,027,498,430,942,087,875,102,327,988,977,428,884,679,454,354,
046,800,949,516,004,056,032,031,793,808,284,799,141,353,709,527,836,670,659,
592,681,444,636,208,439,557,021,968,682,414,183,236,906,668,947,878,916,924,
802,639,068,259,260,655,752,483,248,286,618,020,564,657,913,570,025,722,402,
350,505,986,880,839,910,272,146,090,045,614,631,098,870,052,079,521,402,210,
233,691,188,858,490,706,669,484,661,732,489,659,463,561,342,188,880,761,825,
496,066,890,041,576,845,349,159,167,108,960,181,523,424,177,606,971,948,181,
397,435,830,516,663,051,040,129,062,114,097,043,817,337,294,809,400,469,688,
515,507,527,152,273,435,250,205,322,074,781,977,615,303,840,369,468,108,344,
951,972,974,161,552,363,583,643,871,223,921,611,993,185,844,083,110,535,213,
899,499,591,801,091,865,736,536,869,837,959,324,439,184,578,539,693,083,537,
529,755,899,280,650,353,008,257,241,370,266,383,686,181,288,945,230,356,722,
759,033,966,188,473,326,231,152,641,535,489,931,995,511,266,464,133,199,170,
514,783,641,306,789,900,040,202,169,689,686,872,433,896,737,215,608,981,916,
711,500,019,221,593,335,053,857,304,251,817,598,748,137,011,021,144,041,690,
401,214,620,901,239,491,251,542,166,988,802,805,986,418,840,746,749,869,012,
976,732,094,179,855,683,691,390,003,647,361,955,227,680,962,759,970,155,179,
874,341,673,208,424,505,987,999,696,126,018,185,235,557,728,927,566,119,726,
282,263,162,448,522,799,578,248,850,653,688,998,961,898,815,839,954,494,765,
020,717,137,363,094,028,514,039,764,704,444,322,870,204,406,095,851,915,393,
104,005,651,400,122,834,091,775,589,753,189,408,583,144,873,142,970,669,808,
717,201,968,311,492,501,798,469,283,503,329,811,160,102,775,819,891,902,180,
326,119,423,453,544,813,484,837,775,126,998,684,564,659,029,720,131,170,316,
642,536,054,917,080,602,860,396,534,372,173,717,266,514,316,532,022,024,176,
819,366,239,192,271,712,391,448,808,657,955,245,530,974,346,397,393,593,417,
182,156,439,656,465,887,665,904,459,703,768,384,082,740,535,594,713,031,339,
039,705,971,273,015,301,483,320,281,219,615,473,711,792,672,263,239,404,399,
136,729,123,487,511,202,253,633,913,020,792,444,170,307,585,601,543,896,614,
369,576,568,726,782,396,167,359,845,100,223,249,397,797,363,269,111,846,252,
718,456,650,808,990,582,662,194,918,479,194,237,962,742,634,287,328,718,449,
317,877,490,859,215,188,163,100,611,366,282,385,853,090,653,351,250,475,557,
723,721,584,506,421,956,225,244,653,966,240,795,772,952,123,146,287,263,425,
449,569,368,795,157,223,494,224,436,897,187,665,693,333,531,440,508,326,340,
948,096,388,381,531,257,528,029,518,170,952,480,989,204,060,692,226,403,674,
774,636,408,554,946,527,308,114,920,242,059,914,062,371,311,807,320,278,225,
942,696,948,548,231,894,905,900,793,136,352,183,840,485,672,130,437,291,900,
820,698,047,210,285,575,944,413,203,194,870,233,751,692,653,525,796,843,814,
553,634,825,403,333,588,398,735,796,300,575,517,115,023,581,880,365,019,136,
196,998,894,302,485,680,138,234,678,760,823,497,462,010,844,250,669,360,872,
651,526,864,410,149,614,313,026,875,212,346,743,537,110,870,396,536,286,310,
007,617,861,175,955,051,281,064,540,041,859,117,642,750,714,074,095,623,315,
701,180,383,100,192,347,193,427,167,388,437,699,515,754,736,166,252,320,566,
768,268,239,744,833,706,791,575,584,103,964,107,934,010,319,656,572,123,838,
550,591,934,012,756,067,618,142,882,012,411,861,578,168,107,374,364,829,370,
555,582,516,176,435,581,325,325,408,299,947,229,213,742,882,933,334,521,884,
442,179,385,284,481,540,069,217,660,003,291,047,082,350,547,372,134,955,132,
996,739,629,074,329,552,331,911,071,084,604,596,088,833,148,676,471,164,097,
876,905,889,484,816,378,116,423,294,367,880,225,633,528,128,205,464,692,216,
256,414,868,066,464,387,299,169,224,273,601,559,599,192,079,209,462,179,218,
171,377,950,241,456,542,320,175,824,556,004,125,090,815,212,538,480,730,159,
179,152,886,864,600,835,550,289,079,897,448,859,417,241,487,940,540,033,250,
141,702,526,390,554,391,453,395,856,037,081,283,847,396,995,864,779,162,977,
651,699,922,260,848,162,092,460,161,072,536,246,453,409,356,290,022,164,276,
256,156,648,224,848,886,243,992,762,417,670,581,647,918,815,149,324,104,583,
342,861,533,359,579,158,550,110,192,517,372,069,794,718,670,549,091,367,012,
788,184,304,330,361,369,987,198,749,301,801,652,276,381,858,780,062,600,874,
557,782,002,707,703,400,137,220,708,493,375,551,375,612,489,619,374,247,885,
411,753,700,381,112,702,758,073,970,655,931,238,787,060,427,455,256,016,520,
048,934,187,431,431,070,353,844,472,375,659,958,396,617,077,180,044,945,757,
646,476,866,047,888,801,715,553,889,457,585,871,916,441,124,749,143,645,774,
031,364,509,056,349,030,315,955,804,776,127,350,460,333,917,649,206,143,992,
175,797,517,404,049,603,070,544,330,243,637,127,522,906,416,171,032,232,858,
259,356,131,422,901,374,552,189,492,770,680,569,623,073,106,842,508,008,824,
692,820,753,439,249,257,044,581,025,548,036,840,011,594,515,378,219,655,807,
885,960,698,681,865,323,989,670,449,137,167,918,073,198,120,947,423,031,092,
599,647,601,134,633,696,119,470,140,963,067,334,365,981,381,230,327,782,598,
164,976,468,995,542,590,972,688,481,124,216,529,647,976,492,933,571,355,227,
219,143,115,431,059,803,292,072,628,279,983,039,602,539,623,243,926,505,560,
116,482,298,383,747,401,124,125,369,297,508,294,096,211,270,850,243,082,114,
076,715,075,602,033,793,189,008,191,493,810,541,181,649,223,155,716,255,674,
195,607,580,455,193,195,987,916,118,413,056,889,945,996,418,960,156,891,443,
077,742,010,501,000,984,932,431,419,472,915,843,837,951,101,047,008,386,347,
390,873,516,320,435,768,183,027,375,706,008,810,576,240,595,482,103,233,924,
184,422,022,361,289,825,805,930,270,034,769,774,099,651,679,358,696,437,495,
219,651,921,089,772,006,344,412,940,904,598,678,668,990,573,382,316,178,259,
659,253,730,561,611,402,614,869,476,486,601,849,853,941,774,623,090,639,172,
100,405,893,274,847,487,478,855,152,943,285,249,819,169,910,478,568,200,496,
509,171,310,965,316,135,239,657,045,133,932,433,116,277,611,460,885,697,855,
027,437,467,450,957,041,526,245,419,839,360,620,106,937,883,304,160,267,716,
882,472,438,354,114,563,011,648,679,586,307,294,293,406,822,983,597,634,650,
214,802,943,743,657,743,637,348,191,143,531,765,155,358,609,159,188,786,511,
063,855,913,323,860,021,497,926,524,409,314,446,850,218,325,184,330,072,358,
252,315,418,174,863,863,553,261,083,555,076,975,421,813,372,907,179,549,369,
545,358,129,503,419,614,485,443,270,614,230,039,788,426,743,794,194,106,552,
766,387,786,219,571,000,729,403,933,043,803,573,465,752,495,339,832,411,638,
660,781,669,879,034,385,485,218,829,894,365,523,876,287,946,523,556,360,659,
411,452,339,478,218,238,744,128,561,204,156,737,365,107,696,556,726,328,810,
244,180,178,681,548,501,178,504,797,533,629,216,181,504,820,575,771,995,524,
879,123,709,436,989,322,045,526,181,101,358,895,146,308,406,537,196,096,906,
725,683,320,945,762,002,087,169,979,710,956,829,329,977,003,439,117,142,308,
979,994,697,129,248,819,266,536,557,855,984,226,665,928,884,081,352,282,185,
761,144,281,654,485,060,205,878,768,259,461,073,080,834,737,606,403,558,427,
916,059,249,313,068,083,960,269,129,877,562,068,850,588,771,591,172,402,698,
639,912,897,838,891,545,022,179,464,316,980,466,760,397,860,031,784,500,868,
860,613,130,378,435,353,632,909,126,983,541,905,998,396,846,733,042,609,197,
541,414,128,592,112,474,414,193,147,939,749,561,400,005,316,695,705,971,813,
134,694,833,642,647,313,890,611,330,879,598,698,966,563,005,565,309,815,251,
330,490,877,447,769,455,423,085,233,594,080,227,043,839,205,353,188,461,858,
155,006,204,112,826,509,433,693,063,884,677,568,821,514,649,766,169,858,484,
021,696,295,130,609,148,199,694,697,468,002,202,580,361,065,173,180,080,517,
600,037,189,639,830,682,978,137,796,496,998,484,296,269,420,727,626,652,929,
206,504,438,454,364,451,713,181,158,443,633,365,375,753,581,282,308,192,117,
923,269,741,493,036,506,782,113,667,360,073,152,857,405,037,346,546,366,206,
097,874,381,571,632,198,338,969,777,192,650,673,664,565,089,125,981,453,272,
305,263,246,608,676,400,773,686,416,611,949,210,975,725,907,760,353,801,762,
325,618,503,019,854,183,414,049,433,231,846,737,434,248,104,263,866,383,063,
502,792,586,842,972,302,424,563,542,885,472,945,713,915,111,291,431,584,630,
504,605,069,606,002,888,925,836,248,905,684,874,645,392,760,566,137,744,037,
364,313,973,433,038,887,761,022,731,775,611,231,210,732,701,755,327,222,710,
285,057,993,926,481,861,312,591,699,505,883,099,382,553,135,111,762,441,307,
572,534,829,956,162,700,275,127,405,035,149,970,639,645,495,691,861,502,546,
628,558,379,184,494,658,380,745,833,112,716,619,020,558,043,755,160,607,163,
403,489,009,149,822,668,383,122,214,985,981,429,180,067,182,548,079,871,078,
991,162,081,332,904,814,335,628,181,874,643,409,913,124,176,212,293,936,060,
695,698,987,121,020,088,503,831,196,907,565,934,215,136,778,307,813,270,389,
919,675,756,406,952,916,360,748,075,432,631,392,818,877,491,789,098,112,639,
441,014,981,400,503,831,456,169,081,321,557,161,008,352,792,585,898,570,122,
322,267,944,170,692,787,451,469,671,318,533,316,628,461,416,412,294,828,944,
676,851,859,741,138,366,961,884,294,236,673,875,419,442,418,660,600,738,039,
594,916,771,080,289,587,218,652,062,985,977,731,248,702,094,255,087,429,220,
090,471,563,226,993,122,244,792,474,913,059,948,736,353,859,519,634,459,647,
534,972,301,616,912,546,774,445,177,064,611,247,043,293,793,811,000,387,708,
379,664,762,167,687,664,208,978,057,712,606,135,048,247,345,561,308,103,105,
575,931,494,245,677,696,733,401,742,425,153,648,797,288,475,806,238,876,719,
105,331,799,270,533,492,164,008,663,658,697,523,148,672,303,064,503,132,145,
771,824,847,542,595,162,360,935,371,229,968,304,552,476,607,580,298,553,307,
648,701,016,634,616,056,383,449,405,974,220,244,286,431,159,252,715,679,177,
296,671,782,542,189,855,603,587,591,542,108,182,123,053,270,813,476,612,213,
250,597,681,364,814,894,745,446,012,610,409,904,570,372,278,615,190,201,645,
490,480,454,414,665,498,147,206,708,153,651,449,267,177,631,404,917,711,278,
635,484,444,420,204,523,200,846,547,220,412,834,611,187,613,142,290,729,948,
606,505,191,312,519,012,045,731,175,313,190,057,909,741,882,136,849,397,840,
470,489,758,376,063,402,970,561,316,691,503,257,998,501,769,545,545,682,492,
925,209,608,758,832,009,282,816,027,151,521,785,712,947,348,661,159,494,157,
971,804,546,086,696,331,060,622,388,527,248,145,917,294,229,830,092,741,229,
535,188,334,588,617,481,858,565,007,101,453,330,332,004,972,514,268,535,995,
899,001,578,978,706,302,455,660,009,176,504,767,903,785,772,337,246,324,766,
708,541,130,517,049,006,228,668,001,169,617,201,515,971,748,118,791,308,107,
610,903,618,838,415,333,984,178,447,352,416,861,816,887,316,383,208,866,161,
600,964,825,136,161,544,349,491,271,814,538,834,333,148,900,357,034,306,990,
119,398,233,164,080,683,405,045,259,746,276,009,465,517,099,852,896,779,771,
728,164,609,318,085,708,026,020,862,247,923,946,757,036,894,381,762,087,008,
524,069,706,959,118,693,533,985,321,376,013,223,316,746,522,483,123,265,734,
470,564,187,472,633,909,171,372,291,049,517,469,165,252,461,475,904,971,109,
517,299,133,177,498,899,340,172,354,867,029,170,025,793,465,122,476,772,315,
481,838,677,077,234,381,317,294,324,758,193,139,850,509,490,219,742,939,463,
996,860,038,478,015,293,982,185,183,273,972,576,545,858,884,815,149,225,629,
225,377,474,585,042,097,175,394,515,136,803,716,023,357,009,150,515,129,677,
969,947,833,733,975,915,248,948,711,028,860,099,526,094,608,729,190,573,921,
643,526,453,093,034,997,705,849,992,056,158,007,756,948,819,401,367,866,149,
075,405,795,942,556,797,625,679,434,053,457,820,870,441,917,424,896,756,972,
758,684,149,506,328,328,593,259,422,092,411,614,104,010,533,343,276,086,356,
268,716,028,365,992,355,161,475,269,770,073,279,442,096,443,104,470,379,174,
820,179,680,962,828,877,530,891,984,312,791,180,329,644,569,416,064,301,124,
726,585,061,053,122,051,416,171,966,844,172,569,613,460,276,905,186,295,525,
829,757,747,143,123,007,713,627,452,836,007,178,773,921,393,493,707,522,365,
544,343,737,551,402,481,041,032,799,863,579,850,793,516,576,512,786,598,352,
103,471,165,057,220,391,375,092,536,255,009,083,068,470,860,515,477,284,233,
941,080,873,334,332,227,428,690,739,671,839,807,189,192,099,265,726,382,251,
299,726,710,499,582,093,518,743,255,000,697,093,874,812,959,045,675,569,181,
183,080,322,571,410,486,140,776,890,730,991,024,369,704,838,281,349,232,507,
674,485,435,794,013,996,176,881,865,075,153,359,217,707,619,385,596,609,049,
620,089,931,932,957,993,767,300,533,110,012,054,317,263,460,524,395,441,105,
449,887,860,469,823,859,787,350,835,926,883,763,009,636,712,464,694,282,909,
845,816,891,779,735,488,000,090,097,876,343,447,462,610,448,087,337,208,291,
011,917,288,444,346,315,234,444,232,044,876,526,768,644,158,958,095,430,063,
456,341,779,502,167,350,900,272,142,135,369,541,728,121,393,237,653,299,364,
922,467,474,549,181,656,595,773,909,463,615,656,090,169,181,424,578,211,899,
526,457,341,352,162,455,331,322,865,233,544,334,766,992,166,480,439,914,101,
250,829,167,291,657,675,609,120,065,441,247,004,306,501,205,561,416,945,266,
011,559,540,454,505,919,390,212,552,746,920,939,012,900,246,530,538,547,142,
887,519,494,311,223,299,931,541,457,389,592,174,561,588,518,940,504,870,838,
531,305,843,803,891,129,332,572,457,925,538,595,235,572,191,340,834,460,039,
230,757,095,653,772,071,932,785,631,015,121,747,101,695,056,774,012,319,850,
665,748,571,555,454,125,139,592,542,889,753,021,961,196,100,824,300,560,800,
232,931,202,157,524,121,350,531,663,960,605,595,063,644,800,062,993,521,455,
914,961,932,703,752,130,180,287,504,508,689,600,115,700,472,442,492,666,151,
245,702,494,334,530,506,889,223,229,708,103,872,532,384,307,562,731,448,896,
722,042,686,829,677,872,854,348,379,410,162,766,875,982,028,215,496,190,519,
365,802,370,399,627,648,554,969,015,661,124,850,133,005,332,196,592,771,602,
077,207,045,759,302,597,319,950,237,667,968,994,474,379,643,978,548,887,359,
077,648,477,684,950,128,664,946,623,666,395,569,895,511,200,420,493,301,845,
939,747,030,619,048,624,003,737,582,791,980,936,491,456,858,925,267,980,029,
687,782,811,645,920,742,258,929,209,567,430,533,756,778,697,674,466,162,650,
907,286,221,102,511,333,685,578,450,188,051,830,716,472,462,818,434,073,626,
370,935,296,589,989,530,414,303,561,781,521,485,396,997,128,401,254,226,694,
643,390,497,328,787,235,583,827,217,944,275,377,227,511,097,744,650,895,243,
864,958,076,863,454,053,233,057,782,044,507,407,032,770,546,255,567,924,268,
895,458,537,465,027,930,536,134,289,470,902,379,763,676,462,252,000,394,107,
094,104,787,657,560,275,907,898,999,239,496,710,395,748,770,614,288,298,532,
044,614,349,673,190,862,427,362,472,730,900,903,456,905,377,215,537,154,534,
329,986,522,379,409,571,160,867,006,794,493,638,753,676,604,531,869,055,310,
391,679,759,836,368,801,719,880,216,272,611,852,425,358,169,773,337,156,091,
474,464,945,527,675,863,306,405,258,279,228,391,790,929,985,225,258,944,334,
705,978,479,637,399,064,913,680,400,455,818,877,002,430,180,178,615,203,047,
923,862,714,046,252,535,699,025,797,033,231,344,275,520,916,208,092,939,669,
490,896,097,506,827,960,510,488,546,512,045,546,909,811,166,811,709,978,639,
655,484,799,868,893,145,551,724,677,146,977,383,086,532,616,298,987,850,247,
755,100,662,791,511,985,269,390,969,108,262,186,815,808,618,978,575,784,524,
543,371,452,684,176,633,356,046,189,946,841,552,217,496,171,413,372,424,083,
306,905,502,642,631,073,893,625,195,266,120,786,341,119,856,122,307,073,968,
605,399,696,107,603,040,461,483,291,538,859,939,772,927,165,747,182,586,755,
946,620,450,823,764,371,798,800,846,067,793,624,702,541,068,274,961,989,135,
994,838,863,603,607,281,376,260,081,102,274,851,131,056,386,974,969,008,166,
740,995,989,039,080,140,311,995,172,767,134,692,513,067,845,579,865,646,058,
812,362,378,888,082,001,589,364,395,935,978,881,763,594,216,321,945,458,557,
279,424,473,171,316,162,505,779,798,648,764,619,465,232,193,559,930,137,911,
342,728,110,451,354,561,509,108,379,639,776,869,641,122,993,937,944,406,461,
895,462,174,507,850,817,161,970,496,312,901,320,233,613,717,528,598,965,321,
132,723,851,125,700,981,517,916,076,710,607,386,503,841,337,001,658,836,589,
974,356,682,588,843,250,348,145,860,844,343,195,825,339,159,416,097,981,127,
838,300,730,448,009,777,840,357,602,213,046,098,529,651,148,278,067,564,975,
037,038,747,924,898,415,098,315,886,959,486,799,297,957,662,750,339,360,559,
798,493,028,545,988,954,323,522,019,210,475,216,871,615,407,300,828,204,267,
482,480,680,165,904,683,750,124,281,040,672,234,465,098,530,935,698,541,983,
164,113,917,582,507,133,901,531,128,231,139,355,524,334,112,772,761,191,572,
024,085,577,487,146,241,560,413,178,170,122,803,444,753,903,063,568,841,295,
134,297,040,074,640,776,690,250,384,493,562,242,392,451,553,793,690,553,919,
252,263,100,335,342,488,649,540,940,835,314,709,003,929,828,236,491,415,599,
666,720,188,379,864,946,194,844,672,670,330,104,253,366,204,857,652,961,787,
924,001,323,014,000,232,237,331,413,481,505,621,856,588,756,764,921,522,629,
253,913,585,114,860,479,616,751,285,510,405,389,776,377,143,345,775,618,245,
589,690,246,572,381,457,273,825,385,609,436,691,958,918,536,288,693,088,548,
894,879,285,104,903,754,914,848,635,035,050,885,239,188,942,549,974,598,974,
519,196,429,433,218,831,287,953,086,914,336,651,427,675,944,130,139,388,590,
217,505,412,709,503,770,149,138,757,508,688,979,068,095,087,333,419,835,645,
036,152,933,470,082,582,163,749,609,868,878,200,960,627,494,403,672,890,964,
296,041,344,845,352,903,407,820,672,581,313,406,680,830,628,974,049,385,773,
406,187,354,237,463,597,412,564,852,472,254,771,029,875,871,541,913,182,487,
528,439,075,795,732,185,989,466,132,061,333,078,976,186,114,736,610,943,277,
981,560,497,662,523,874,618,240,523,019,223,272,951,430,242,505,361,008,661,
816,514,240,943,415,624,094,981,122,470,782,714,639,085,992,569,489,626,046,
730,534,958,804,449,102,260,783,356,908,925,231,867,085,547,544,176,372,891,
715,772,654,518,423,899,517,726,176,394,975,553,786,888,988,115,169,591,297,
820,562,134,197,068,614,158,322,507,625,792,857,623,660,874,675,704,131,242,
345,670,685,322,099,711,816,476,507,539,149,018,972,716,744,912,758,852,906,
889,822,781,803,314,118,035,761,190,306,508,923,213,413,937,617,787,571,300,
797,533,990,731,198,508,659,100,346,385,512,381,824,068,814,514,459,321,413,
288,219,885,787,292,191,386,632,293,718,465,312,103,584,824,119,506,885,210,
597,684,937,774,708,941,428,217,038,812,796,515,170,474,556,772,129,903,949,
780,340,760,397,500,330,612,384,278,083,146,174,349,278,668,582,499,004,094,
203,739,320,061,756,576,283,836,138,690,249,605,641,452,413,617,735,847,832,
749,611,384,313,021,596,205,431,993,087,877,516,046,955,400,546,323,625,538,
256,722,021,853,743,668,806,888,414,062,927,739,732,343,302,626,815,359,681,
437,764,178,613,865,198,667,054,574,131,220,157,503,379,980,774,800,934,581,
188,709,679,653,095,317,712,072,465,019,964,069,613,662,295,476,728,689,203,
279,136,613,644,241,871,986,346,077,133,615,938,118,941,520,538,634,420,060,
443,788,954,191,453,741,773,323,282,687,862,163,244,790,963,170,056,479,422,
170,639,802,515,509,283,091,062,301,118,361,581,261,362,583,167,099,113,412,
688,726,672,732,944,119,063,700,032,651,555,956,246,479,295,297,078,552,221,
650,221,261,138,055,895,972,139,008,670,440,098,530,613,928,646,324,857,700,
197,198,988,871,674,235,867,440,423,640,531,761,828,302,850,977,090,472,814,
779,806,036,515,401,079,585,742,994,528,799,140,972,568,203,251,488,972,741,
299,074,921,106,664,718,519,060,076,687,018,215,162,399,757,688,399,896,806,
876,578,630,049,142,403,073,215,538,015,878,470,073,046,383,631,510,822,299,
863,485,361,061,460,804,283,327,851,222,825,558,570,839,194,708,175,580,255,
199,376,478,941,487,445,632,189,606,906,951,597,706,263,620,091,642,591,445,
613,406,054,066,007,557,511,020,799,627,204,693,657,676,197,112,862,750,103,
924,356,779,789,624,200,246,694,858,786,528,080,705,736,163,209,766,448,647,
808,069,156,656,387,186,654,055,690,551,600,726,600,746,488,135,251,823,571,
435,657,073,694,259,933,984,441,168,908,359,009,139,960,444,360,780,697,030,
448,362,106,999,267,214,612,109,945,681,033,604,467,595,999,947,887,773,387,
808,497,966,557,720,312,144,721,320,799,843,675,771,589,027,404,703,844,123,
317,293,209,532,808,039,241,190,937,491,869,384,067,441,342,344,921,192,588,
234,923,311,216,013,373,492,098,005,367,926,229,480,951,785,333,677,823,289,
285,086,110,527,337,432,188,571,024,043,696,851,238,368,175,764,376,690,778,
241,882,387,997,672,580,239,133,004,021,019,955,689,212,855,392,208,562,817,
702,436,875,276,278,550,407,751,487,684,535,841,747,280,284,311,451,761,518,
759,843,640,131,746,187,254,201,181,898,400,112,179,742,041,769,065,498,987,
742,645,158,905,184,917,623,632,991,728,865,622,255,395,417,323,246,013,236,
164,145,669,418,701,559,782,933,166,079,512,345,157,549,379,973,704,095,686,
983,704,406,277,126,490,458,728,243,218,971,872,373,969,951,463,211,961,884,
705,216,677,460,507,210,464,415,010,401,215,699,692,041,532,227,373,999,470,
004,459,666,802,749,752,739,699,163,078,389,280,592,569,102,059,975,534,749,
748,249,280,002,039,023,429,917,188,039,564,903,497,215,965,657,340,320,574,
266,436,434,940,646,493,729,870,787,463,960,297,133,724,766,645,436,490,233,
045,107,226,698,056,823,813,722,373,048,028,016,905,700,685,576,492,598,338,
544,883,469,116,951,851,506,114,278,139,451,524,214,401,407,187,661,982,132,
710,514,583,063,536,253,999,052,717,228,236,835,386,875,340,655,014,111,737,
554,391,086,855,147,760,185,112,496,156,605,476,405,493,083,506,068,153,148,
442,691,791,599,399,782,084,119,442,766,629,471,362,051,492,513,036,484,417,
674,707,235,932,160,091,158,100,932,223,428,118,721,094,032,260,262,998,664,
822,044,335,089,989,774,531,497,361,421,584,320,151,817,741,766,439,234,990,
663,840,874,104,045,846,187,310,544,341,190,784,254,590,805,786,062,996,636,
639,009,285,099,281,928,274,993,910,784,756,786,173,363,782,096,690,346,079,
780,930,401,541,785,959,579,526,532,611,151,167,682,871,149,042,354,612,140,
582,054,238,683,214,786,268,392,101,463,083,307,070,493,499,724,462,725,266,
868,716,904,157,274,962,901,181,687,150,971,629,339,526,729,854,975,060,478,
944,766,900,818,749,080,863,713,388,418,659,747,941,188,757,828,810,309,153,
859,570,763,404,950,862,853,561,052,323,620,519,291,373,544,120,675,609,602,
569,711,296,183,259,132,354,469,935,562,527,969,851,596,300,523,985,494,063,
460,811,868,254,688,596,742,333,867,430,243,975,478,654,544,810,229,005,011,
909,651,752,362,611,278,979,336,781,154,362,679,169,726,414,633,170,543,494,
392,319,503,471,052,700,394,288,276,266,131,787,677,945,386,195,798,301,532,
795,525,289,764,950,727,865,678,717,006,455,464,120,979,325,847,067,027,934,
218,593,615,942,703,678,841,983,781,659,387,704,728,161,019,196,296,041,468,
497,235,824,409,592,743,513,741,799,545,035,812,971,532,722,093,355,187,327,
310,424,738,137,628,452,344,902,880,825,097,014,420,229,095,628,722,538,300,
186,757,407,330,764,067,492,705,598,142,381,694,087,639,593,775,383,310,989,
953,821,116,155,935,575,928,301,470,705,172,732,314,901,266,607,503,022,014,
084,199,671,149,097,531,301,066,544,930,910,174,189,688,616,598,660,814,464,
453,084,331,723,435,749,427,538,183,931,034,260,657,753,805,523,562,566,399,
730,645,190,245,491,713,434,484,408,429,954,991,104,021,013,495,709,575,326,
003,316,900,428,933,723,491,013,676,029,802,514,788,099,626,004,074,116,744,
248,118,988,350,133,543,340,439,037,014,298,445,793,847,895,867,908,634,062,
474,876,792,903,265,431,882,043,974,424,246,832,061,686,189,382,150,933,220,
859,546,684,205,661,130,095,635,182,622,950,866,195,415,283,566,439,020,038,
276,084,917,304,123,728,484,606,746,247,143,547,358,154,150,848,990,142,416,
952,879,910,968,511,622,713,045,414,062,440,906,655,495,479,858,054,541,204,
700,705,010,886,025,261,222,679,266,461,411,017,957,798,995,251,919,341,754,
772,033,857,166,324,103,329,542,986,513,396,244,160,077,880,927,710,132,705,
636,538,659,200,872,679,653,361,040,506,973,861,082,343,067,783,585,156,258,
056,381,744,256,405,720,760,660,912,965,053,656,389,109,414,683,691,622,802,
609,294,100,120,042,230,211,331,195,705,252,499,537,303,187,341,518,157,894,
793,767,720,120,777,990,122,230,705,852,823,318,310,782,170,393,212,441,834,
248,279,259,917,389,708,541,209,342,448,722,951,649,192,020,722,551,304,915,
898,609,139,150,160,707,381,156,444,060,861,014,146,126,337,147,582,679,831,
714,489,884,087,424,005,300,255,557,906,670,331,820,793,417,464,668,042,133,
503,223,336,315,512,925,993,075,869,451,402,718,604,313,121,660,900,794,709,
174,949,712,203,581,261,905,450,238,829,807,618,573,353,385,247,511,703,923,
269,348,955,352,391,993,909,689,955,074,313,073,968,110,625,036,566,651,233,
574,861,386,540,253,316,333,636,512,352,340,008,588,668,308,403,127,554,739,
867,372,103,501,894,655,869,202,889,021,964,022,325,465,807,445,618,237,694,
463,167,011,047,074,094,894,372,000,720,703,074,283,744,494,850,598,009,613,
229,315,504,804,426,749,763,585,169,394,283,806,948,420,447,217,092,909,531,
856,811,422,781,107,460,234,810,003,466,298,016,473,509,442,761,207,422,417,
478,890,073,017,285,740,780,482,873,341,084,097,226,263,584,803,675,663,019,
993,209,080,283,403,618,152,712,231,055,544,564,864,796,341,110,580,519,764,
370,915,646,254,637,605,291,436,897,988,696,510,075,945,775,421,392,618,282,
838,741,123,304,993,558,343,999,491,068,716,933,780,256,556,316,008,408,222,
539,248,004,096,625,649,583,237,710,143,907,019,237,975,286,318,440,969,209,
543,922,147,409,869,433,277,587,922,866,079,770,237,155,134,501,112,329,481,
952,732,632,323,036,202,806,003,024,526,961,842,387,903,051,984,103,931,131,
213,090,909,913,699,277,739,846,860,420,505,907,771,248,952,644,732,567,407,
509,702,248,019,882,921,887,877,197,447,616,586,283,679,858,749,771,208,864,
276,978,818,810,437,253,607,701,560,602,603,691,295,083,321,452,307,840,416,
157,898,759,973,082,977,059,205,987,803,957,726,531,741,198,050,631,427,111,
719,293,916,800,657,049,909,571,131,929,110,804,989,992,305,247,643,831,699,
185,068,319,971,812,054,926,782,166,210,567,316,637,896,936,313,205,675,154,
320,629,377,701,781,848,440,678,975,730,706,534,574,885,622,881,589,280,231,
658,751,347,772,217,601,428,856,711,327,686,939,138,488,255,352,123,316,768,
413,265,315,179,177,006,507,034,857,909,093,879,682,926,750,092,771,145,225,
370,278,259,936,531,715,391,187,701,170,319,108,453,120,429,150,499,125,999,
733,163,344,123,175,894,136,925,411,060,504,714,989,988,955,386,739,480,083,
463,571,671,122,909,967,029,145,375,894,502,006,035,216,446,459,231,977,534,
607,028,125,365,998,512,726,473,380,429,264,351,399,760,846,475,115,866,076,
493,158,124,880,615,325,393,989,363,741,216,596,394,461,722,743,238,751,177,
573,154,488,519,274,228,334,604,195,226,777,833,314,722,089,382,412,254,077,
706,195,508,549,061,041,570,242,928,042,266,338,991,098,908,363,105,854,392,
562,202,147,714,278,291,711,821,710,085,154,852,557,028,710,475,601,209,698,
658,416,219,532,863,914,473,603,305,184,423,364,403,192,689,193,219,875,368,
383,238,116,931,054,871,946,455,290,761,202,014,762,532,289,144,722,074,276,
334,419,232,562,236,351,696,739,700,502,374,017,221,975,078,058,055,900,108,
555,340,371,859,240,938,477,618,347,212,898,370,031,842,804,187,658,228,292,
803,034,814,407,927,402,911,818,738,188,397,469,204,195,393,725,315,274,255,
331,357,096,018,665,031,864,398,021,504,711,277,275,292,197,911,084,706,707,
857,503,460,943,249,207,011,267,691,470,714,197,897,562,680,421,550,602,120,
517,685,617,062,996,754,347,010,181,269,301,888,551,593,647,636,406,000,554,
162,372,968,717,453,591,817,909,581,654,576,682,525,423,370,958,418,767,792,
286,723,734,672,691,886,947,886,109,998,960,405,230,228,476,467,162,240,178,
214,689,894,733,602,684,808,686,427,362,060,297,034,840,526,251,727,337,696,
801,765,166,490,211,156,126,507,834,132,578,983,860,694,074,764,063,199,293,
367,339,060,172,405,384,888,160,709,826,378,503,486,322,285,022,573,252,927,
446,406,483,728,935,411,982,600,411,420,855,758,775,478,054,231,824,732,608,
722,714,590,302,395,208,363,792,706,906,590,190,004,840,300,764,292,566,004,
568,931,970,744,065,842,045,900,472,179,521,104,581,392,827,598,815,585,445,
546,567,108,277,117,310,740,305,739,930,056,721,702,381,992,677,761,717,034,
351,059,674,285,384,446,754,907,818,322,937,649,923,961,488,711,362,229,327,
844,650,890,718,087,653,072,848,140,983,150,678,113,665,511,500,306,924,545,
209,599,010,971,929,067,613,944,629,121,875,019,787,764,933,875,485,813,634,
579,441,562,048,312,958,053,042,471,634,716,504,069,941,625,008,033,950,678,
539,902,092,434,062,823,796,411,443,282,186,441,771,963,473,082,536,868,900,
446,362,071,828,546,153,097,801,949,406,094,144,302,159,447,733,155,548,627,
420,477,714,105,265,522,793,071,765,336,184,318,000,413,428,557,759,882,636,
950,232,952,489,840,480,204,171,280,940,484,693,064,969,642,294,800,278,992,
504,302,040,085,500,330,008,467,453,472,855,622,306,120,797,293,438,690,487,
052,468,805,417,981,099,237,822,499,209,323,875,876,318,807,162,980,648,526,
370,107,702,669,746,860,668,783,432,845,431,199,187,964,729,684,241,078,247,
823,752,120,681,853,590,639,548,625,464,257,669,920,803,489,304,833,346,285,
603,224,817,374,048,529,157,842,111,088,869,306,474,516,619,408,413,793,973,
611,727,618,568,865,367,723,469,789,436,580,128,157,654,082,964,898,309,870,
293,240,811,524,166,258,052,733,485,635,013,617,694,431,175,136,821,802,310,
295,772,196,978,646,177,333,564,478,338,978,880,491,003,053,200,874,608,755,
260,175,046,748,038,488,487,029,257,932,433,270,206,959,334,308,698,534,531,
378,501,026,254,681,155,423,570,156,661,217,232,396,736,389,383,195,163,849,
997,525,548,010,847,414,304,284,185,641,273,583,964,621,406,987,252,595,429,
959,200,592,384,680,693,054,787,031,843,294,158,227,260,346,350,023,553,694,
472,071,491,896,350,395,055,181,162,782,946,395,653,892,434,270,068,812,987,
508,888,484,977,107,718,313,306,759,633,029,212,878,079,513,746,676,356,669,
025,209,797,062,889,870,579,078,266,979,739,081,674,008,254,093,736,657,369,
034,505,845,735,234,665,122,595,753,092,760,891,301,916,628,032,007,845,906,
949,416,526,455,872,492,661,575,403,259,793,201,890,163,400,294,637,827,933,
633,594,105,705,723,524,394,044,808,173,493,906,732,344,475,947,440,715,789,
482,768,159,320,853,263,207,716,021,253,721,470,025,717,745,732,600,754,624,
122,401,035,247,870,032,622,073,112,433,826,008,221,518,730,659,689,681,716,
772,779,837,641,897,505,794,802,876,265,583,956,271,999,433,165,081,458,160,
682,015,368,143,986,089,533,975,891,678,861,970,316,360,478,107,916,391,503,
411,027,357,793,075,589,375,899,099,391,364,262,408,628,541,924,756,455,801,
483,978,791,215,744,130,062,053,734,281,278,865,953,284,493,096,862,815,213,
373,874,408,739,295,488,897,481,312,073,859,382,687,360,884,913,311,450,268,
141,586,556,326,735,699,002,181,252,515,358,043,476,669,761,998,843,360,744,
615,606,634,570,294,175,347,014,516,463,447,587,508,743,902,799,679,271,816,
184,449,477,738,713,729,584,346,169,702,662,668,339,275,050,317,955,436,798,
556,270,592,034,397,527,456,194,025,806,714,338,279,573,469,991,071,786,541,
375,290,151,815,712,292,701,544,832,516,813,906,289,497,752,669,715,539,254,
862,897,182,524,755,287,997,658,441,604,444,757,566,754,990,083,702,572,061,
295,966,488,198,090,401,412,042,517,848,294,507,529,652,046,805,167,533,840,
436,840,504,339,773,007,621,503,541,982,009,219,014,615,212,653,258,175,862,
649,793,713,434,247,322,710,850,821,036,931,138,831,786,723,488,172,065,482,
968,060,020,017,493,475,467,749,134,577,036,023,987,074,085,257,978,887,311,
018,862,690,893,645,168,634,574,293,023,318,454,510,707,383,764,441,147,086,
535,165,148,729,001,837,936,456,957,788,525,772,100,081,353,473,929,143,890,
831,673,887,476,143,328,651,184,605,596,653,624,422,340,127,784,633,167,519,
734,453,330,845,985,173,006,043,942,238,607,536,223,565,763,222,464,530,116,
665,897,001,777,034,255,486,740,633,326,248,236,524,307,777,623,362,111,903,
924,978,841,936,776,162,836,769,469,509,102,245,910,242,569,658,152,085,198,
792,390,078,268,827,632,507,411,573,399,446,035,613,147,070,799,174,624,348,
957,061,241,457,817,986,332,439,553,841,416,061,116,901,350,623,804,195,822,
629,766,860,470,896,199,681,179,531,066,248,326,583,507,578,495,327,416,324,
450,596,696,840,669,559,617,095,778,191,809,032,464,419,433,472,943,608,553,
932,231,847,274,267,240,559,898,606,880,743,937,138,237,189,819,931,976,175,
478,483,128,131,690,264,584,755,524,763,400,789,953,493,898,437,684,164,941,
752,084,921,671,951,751,630,353,418,596,336,164,660,444,065,868,519,823,932,
924,156,477,642,228,066,516,156,829,281,473,789,664,865,277,300,349,116,757,
670,645,155,460,002,901,288,103,752,064,781,041,253,089,624,475,478,239,108,
766,362,232,227,976,908,033,353,593,852,268,485,967,856,192,522,906,786,235,
630,331,544,474,927,788,191,036,180,303,272,678,320,869,480,143,401,306,289,
893,955,529,485,936,546,434,074,114,101,283,743,067,792,399,575,911,890,706,
161,390,121,936,609,804,944,873,251,116,184,908,904,626,116,100,654,378,069,
252,009,287,876,045,670,799,385,018,764,013,301,001,655,916,729,306,713,566,
967,766,681,052,165,773,089,728,403,807,417,535,995,878,018,646,824,390,817,
453,496,570,714,942,961,007,004,141,546,818,808,704,079,848,748,309,133,671,
908,769,327,229,742,077,452,742,336,052,363,653,084,788,203,144,190,640,795,
950,722,270,070,152,843,588,526,294,193,347,969,482,604,826,400,625,361,394,
447,728,092,224,835,765,356,679,254,659,486,093,398,141,370,545,277,137,874,
796,629,467,895,677,526,927,367,822,552,404,259,054,897,073,769,783,583,319,
803,602,941,977,813,283,437,913,129,106,549,826,256,481,974,819,689,012,211,
627,654,850,668,888,739,878,130,128,008,543,007,525,354,695,442,377,783,918,
335,702,180,413,410,056,459,050,828,396,519,186,057,616,891,342,080,808,071,
919,676,176,388,573,976,379,852,617,165,008,210,659,756,200,944,443,141,897,
331,935,297,133,146,919,801,004,205,600,498,487,059,102,472,987,913,796,827,
083,365,662,027,053,833,057,645,655,532,961,652,661,382,787,903,935,706,868,
878,865,735,563,045,717,319,567,642,660,129,085,921,609,635,280,733,908,605,
557,251,654,269,116,927,091,008,658,100,505,517,995,439,398,414,077,769,641,
795,196,010,791,554,135,935,326,795,587,837,762,998,831,647,956,721,376,869,
224,872,075,015,191,011,295,442,762,877,347,903,880,593,979,037,009,643,612,
393,388,187,709,047,158,601,909,411,957,839,478,770,928,024,184,238,166,710,
324,509,004,187,458,945,175,982,345,378,275,513,653,973,527,261,110,191,162,
525,306,741,981,879,227,115,343,360,740,204,615,228,702,815,104,902,124,874,
220,142,306,364,987,849,010,700,348,591,121,597,531,343,884,686,793,389,272,
229,581,091,759,678,761,497,405,479,919,473,325,658,585,499,437,120,857,200,
618,434,842,929,264,575,282,513,750,996,504,552,164,323,496,039,907,060,373,
917,722,839,847,844,685,311,470,965,460,334,228,172,496,181,465,582,631,288,
439,141,459,484,706,534,631,770,042,221,902,935,821,756,478,582,449,454,804,
547,825,741,327,859,580,956,761,679,451,299,808,309,780,688,695,153,115,737,
191,887,382,420,152,041,337,090,361,043,599,967,568,927,219,154,860,112,151,
527,196,151,930,245,324,017,138,612,663,569,990,068,781,120,595,848,148,541,
681,220,446,235,088,762,988,855,472,115,488,575,768,064,239,153,565,428,257,
630,118,886,563,652,772,155,647,245,865,321,294,030,878,077,207,352,786,189,
886,700,099,968,225,093,030,697,172,191,076,504,677,739,028,047,452,673,000,
077,082,346,694,640,009,670,116,606,240,363,459,652,226,258,726,814,896,986,
252,243,802,385,514,570,516,479,072,423,128,319,795,925,404,121,559,100,637,
518,164,681,376,231,099,707,527,224,259,171,916,387,437,942,914,189,074,211,
231,297,657,461,497,558,084,504,216,297,561,654,712,976,649,453,027,680,588,
740,992,857,190,528,922,724,141,003,160,321,070,072,774,993,245,413,276,056,
720,630,222,262,793,468,728,728,470,514,299,411,167,983,872,954,072,731,795,
916,120,111,740,370,191,748,118,508,513,195,700,459,335,069,548,988,440,361,
441,178,018,445,939,083,346,365,042,094,495,087,447,601,003,983,368,598,187,
823,838,223,072,288,040,608,181,756,741,944,034,347,108,169,864,713,797,103,
735,211,250,132,044,243,330,042,821,627,810,312,586,311,292,675,087,736,939,
868,657,625,174,135,173,943,461,705,410,045,129,662,593,483,521,664,751,886,
972,365,358,079,432,880,697,361,259,863,422,396,039,887,285,472,339,278,298,
493,172,786,769,724,230,778,669,637,302,982,735,920,458,590,039,458,461,618,
077,256,755,804,559,799,974,446,113,199,405,755,371,998,516,587,355,337,044,
981,869,700,050,264,967,252,119,538,341,275,762,077,148,831,520,577,059,453,
989,477,090,396,433,671,706,608,639,779,494,283,009,690,533,536,873,740,416,
027,953,516,442,914,750,175,913,056,466,474,274,986,237,629,500,500,344,947,
073,142,998,356,692,361,070,184,302,559,506,601,402,690,724,387,528,029,005,
870,160,764,409,629,297,336,733,746,134,059,095,182,068,048,702,563,832,601,
097,769,032,848,243,013,351,983,689,171,635,233,693,086,743,757,488,947,373,
154,122,923,716,538,622,304,976,525,993,638,962,307,536,606,413,421,602,322,
470,498,219,093,501,193,515,453,761,740,832,895,500,091,118,174,158,829,429,
753,591,157,829,379,821,261,082,619,846,770,337,507,395,887,034,213,436,194,
560,927,812,086,304,992,984,904,260,421,724,075,091,683,528,270,799,119,441,
675,347,463,902,374,384,160,605,292,506,681,082,943,278,443,342,092,094,144,
945,034,070,381,285,251,098,002,525,472,432,361,071,143,298,238,059,335,031,
528,388,582,221,141,534,522,569,571,406,969,400,331,355,858,546,936,073,786,
085,776,530,030,619,891,366,437,415,709,592,979,254,583,935,042,567,994,433,
369,272,428,707,027,455,965,209,775,092,255,417,087,013,160,247,773,878,678,
639,873,457,523,972,996,101,474,915,467,931,897,554,356,711,590,054,933,287,
677,388,489,005,488,028,657,416,609,282,460,880,741,345,758,169,786,512,714,
211,257,371,814,055,106,093,977,812,012,664,933,477,692,321,842,100,372,565,
761,508,789,356,859,993,079,237,053,850,351,701,355,888,073,189,494,709,198,
101,275,913,273,423,356,599,272,750,168,808,760,829,934,166,508,036,489,877,
335,332,394,031,111,835,275,286,695,609,599,656,227,571,363,405,410,974,234,
768,069,638,850,409,312,295,853,649,882,495,141,956,799,979,252,337,203,367,
079,717,018,303,487,059,811,845,638,440,577,878,682,666,138,150,202,543,556,
235,959,107,476,120,714,082,950,116,206,103,361,222,234,815,365,312,178,866,
414,555,646,602,697,845,215,706,480,073,084,059,336,798,289,088,845,970,669,
762,743,685,264,800,289,253,470,960,537,763,225,296,276,545,402,217,402,744,
191,248,556,474,773,196,422,932,999,386,582,994,865,421,082,406,583,260,612,
003,800,392,405,357,362,211,260,497,208,116,503,113,786,527,162,006,423,950,
773,884,283,756,148,855,379,461,622,808,762,568,526,533,273,161,076,495,244,
087,395,902,155,175,907,493,885,360,928,023,325,956,218,225,186,170,558,545,
638,917,251,538,213,917,935,914,338,596,001,204,901,837,746,216,578,463,730,
326,220,093,103,023,069,458,361,350,058,137,452,138,428,755,606,308,797,823,
609,525,807,698,355,225,214,706,935,263,781,564,160,925,281,696,162,668,710,
363,497,159,321,618,191,013,334,585,809,448,138,061,682,018,546,790,711,340,
019,220,742,009,395,902,548,061,126,418,302,089,190,114,303,860,687,968,393,
753,702,402,510,066,903,201,153,051,852,615,464,864,690,358,808,105,226,489,
941,262,815,387,285,022,358,524,741,582,774,950,979,426,460,224,130,626,691,
878,728,168,612,782,847,526,835,192,487,032,593,438,343,481,360,820,787,018,
858,473,745,889,716,103,064,560,908,351,972,412,239,287,399,929,869,375,766,
913,264,522,478,126,227,644,718,493,275,607,683,985,021,717,120,314,094,903,
447,498,701,076,186,269,316,204,672,661,305,428,089,203,694,566,530,345,557,
755,556,229,291,790,111,938,696,658,442,667,333,324,852,155,342,457,674,355,
798,764,677,934,244,193,859,597,803,239,222,430,308,939,211,248,888,203,476,
055,243,733,084,000,050,190,117,841,514,021,265,660,669,655,612,098,151,363,
538,750,244,898,773,154,571,519,629,889,637,160,945,352,326,011,357,779,015,
134,013,171,113,227,908,084,695,197,993,993,370,894,574,872,134,159,180,589,
657,202,695,061,659,826,716,527,478,125,248,236,054,957,296,952,229,711,824,
633,103,946,568,720,289,461,572,670,399,852,095,603,781,483,772,344,418,150,
452,352,511,733,441,502,380,964,704,034,052,123,164,347,483,131,379,176,355,
944,732,522,249,862,483,881,488,211,140,442,240,670,748,566,832,022,206,609,
185,584,152,540,557,899,001,844,669,729,663,473,421,042,334,892,942,332,801,
092,036,743,743,293,147,210,001,674,077,542,516,114,843,485,139,411,871,531,
726,216,100,252,445,327,498,174,527,781,531,625,835,401,414,863,965,140,379,
002,084,749,490,886,457,759,678,415,459,561,202,026,098,544,715,217,134,304,
314,954,308,368,162,926,506,454,731,825,403,197,968,367,106,894,553,704,544,
591,820,146,689,838,821,120,898,419,344,215,089,731,817,490,989,839,375,078,
145,433,127,896,503,976,854,875,170,774,099,120,529,058,261,896,092,904,298,
508,215,781,281,456,296,032,220,067,968,209,568,373,141,997,161,629,541,495,
717,537,064,424,910,260,136,531,964,586,612,849,700,810,822,709,922,465,215,
624,313,300,373,114,615,759,621,348,660,941,882,275,522,074,878,239,024,462,
274,980,130,896,242,054,101,746,173,268,581,696,582,084,482,942,786,153,635,
504,626,765,724,879,538,267,789,304,848,300,130,069,554,495,918,927,450,755,
077,839,508,238,398,909,507,518,902,330,633,531,644,176,425,461,587,564,832,
412,816,872,818,405,035,709,351,151,865,245,611,775,888,645,984,581,596,598,
002,118,003,834,340,535,237,381,854,476,427,485,702,350,373,656,449,552,265,
189,687,835,144,221,578,299,807,384,113,684,399,110,801,476,081,314,917,419,
714,026,554,539,170,465,707,439,396,575,772,385,291,068,230,044,622,454,147,
556,704,069,040,986,015,338,922,681,999,110,365,904,778,897,645,482,513,385,
269,705,074,805,537,113,356,545,005,572,507,105,543,652,346,749,914,915,331,
980,787,823,931,106,315,059,727,250,410,549,052,492,736,006,470,470,613,647,
513,113,016,575,627,027,084,660,681,960,953,973,552,798,685,303,920,191,790,
773,514,134,843,899,892,593,566,146,025,054,860,192,935,755,411,022,336,242,
845,577,904,751,752,508,695,357,724,867,682,977,106,632,296,460,340,497,353,
451,621,201,464,757,287,022,642,390,123,043,658,791,041,930,037,072,562,822,
965,082,188,628,207,535,001,658,032,227,137,639,895,769,657,660,292,650,716,
071,746,002,344,610,196,136,136,127,241,801,303,609,044,710,364,904,204,641,
377,386,492,139,252,826,591,320,449,341,067,908,293,748,222,824,786,358,261,
488,798,426,784,372,742,723,341,372,532,724,495,436,147,186,267,749,515,895,
314,073,261,954,857,531,203,611,206,293,617,199,581,407,871,320,967,025,944,
880,668,200,628,878,116,168,416,663,314,657,807,142,723,849,227,263,696,674,
260,120,188,725,213,658,422,449,163,415,058,576,544,830,444,876,043,200,747,
547,468,052,783,469,469,566,043,951,798,844,612,006,168,300,599,805,066,053,
048,162,078,865,544,604,003,971,187,201,929,427,699,025,954,722,323,749,975,
317,012,544,127,365,815,364,031,058,066,832,865,945,190,944,963,558,303,493,
618,885,670,487,220,416,677,224,313,132,802,578,295,830,675,822,158,986,966,
195,999,513,622,533,506,515,966,035,356,525,020,155,590,714,795,849,601,108,
939,311,252,001,187,046,773,936,856,139,303,987,297,991,623,538,204,372,927,
411,585,457,064,960,477,468,574,676,584,643,838,050,978,084,594,798,778,559,
894,968,110,954,157,969,889,795,015,669,661,023,955,460,881,358,627,874,968,
606,721,389,788,152,212,522,747,187,420,019,496,283,171,032,010,562,694,043,
343,428,706,317,546,698,233,796,960,081,177,641,366,258,943,627,901,248,127,
673,951,941,495,112,660,989,775,007,725,301,599,544,008,145,082,875,430,648,
697,931,584,326,747,542,760,207,408,805,187,935,053,668,171,779,136,345,958,
045,236,863,705,638,549,279,989,673,624,000,572,724,775,590,380,268,001,339,
951,108,875,525,221,561,620,877,140,697,861,263,837,524,480,947,028,747,072,
838,462,694,485,705,204,946,688,272,366,674,326,455,997,201,566,177,366,301,
722,322,740,395,494,038,111,769,462,878,873,307,113,064,572,159,317,983,800,
781,554,181,628,254,277,566,991,724,595,804,261,543,294,465,223,992,355,084,
286,144,849,830,259,746,230,857,850,727,101,515,374,500,414,119,524,703,286,
295,993,972,057,283,342,937,476,515,585,272,077,944,443,955,180,812,646,911,
584,067,215,281,670,546,543,214,761,422,418,259,406,386,740,151,335,537,830,
350,608,805,032,360,524,330,853,646,068,620,528,966,191,260,836,072,031,858,
734,011,165,092,468,754,044,649,886,940,194,237,646,846,398,759,028,028,983,
209,403,872,029,325,196,486,779,438,382,481,953,404,837,986,516,790,338,395,
414,945,710,549,662,927,619,121,664,203,764,679,835,809,976,746,476,060,658,
676,207,559,311,847,247,630,847,442,758,105,455,803,610,696,756,166,803,896,
355,760,557,549,874,571,334,541,552,457,349,965,784,030,559,008,637,974,498,
766,531,280,276,753,564,060,567,697,172,859,087,801,043,694,251,139,871,649,
743,350,385,133,860,954,892,512,050,968,817,855,938,136,609,581,969,524,902,
790,631,579,712,325,689,785,047,870,737,722,347,806,837,880,470,604,627,458,
206,672,427,184,728,934,323,442,237,845,173,687,211,151,364,041,568,226,483,
305,798,269,312,328,764,801,270,530,140,694,244,110,309,444,268,402,115,094,
817,320,216,379,859,940,365,588,582,582,820,081,819,851,425,965,094,048,928,
216,942,825,234,059,950,720,177,021,907,345,828,166,793,372,628,940,747,466,
742,739,998,596,013,104,174,007,674,861,506,869,706,226,206,221,086,309,073,
964,125,322,342,556,060,933,837,627,489,882,124,326,471,515,206,805,378,642,
412,273,548,701,438,050,209,896,652,533,101,352,493,320,083,046,829,064,497,
454,675,519,804,627,065,266,203,733,555,415,918,475,107,106,130,957,262,787,
678,988,160,996,514,406,389,130,065,206,507,168,827,992,153,800,827,114,686,
598,891,430,036,258,257,108,075,189,351,161,987,093,508,746,549,543,355,481,
378,883,159,522,245,377,763,318,032,155,850,006,422,613,469,724,171,500,793,
579,700,679,941,638,069,400,209,256,192,940,737,453,345,084,600,007,566,317,
871,229,281,805,682,080,342,218,877,321,452,983,904,028,627,877,680,355,952,
948,612,698,866,099,684,350,354,250,511,308,417,171,212,999,966,435,468,542,
712,643,415,793,477,800,415,519,257,343,898,721,490,279,455,548,756,807,254,
353,672,705,250,537,599,679,796,964,435,867,462,334,881,872,237,415,425,830,
563,070,165,729,942,239,787,909,466,095,208,067,099,917,557,891,627,583,733,
569,535,737,747,627,548,105,637,938,234,228,352,234,698,819,890,000,874,756,
274,897,308,263,500,503,463,427,589,350,934,041,525,642,927,970,599,143,449,
651,647,297,566,697,894,980,499,535,584,678,480,255,364,280,751,733,637,936,
523,522,564,186,383,916,618,123,508,044,815,877,531,336,541,800,787,591,127,
668,598,079,322,396,828,298,414,123,562,372,180,362,290,549,211,188,724,705,
661,317,721,498,790,983,123,109,540,116,597,291,087,072,054,706,252,186,213,
954,589,173,438,316,533,939,710,478,005,710,012,159,911,907,409,546,438,402,
340,179,438,390,221,636,109,464,423,391,898,475,850,651,690,369,844,818,209,
567,979,726,184,445,706,697,601,790,356,773,236,577,966,698,906,296,035,098,
603,475,126,676,524,264,247,866,205,270,274,774,007,105,570,099,629,942,880,
932,119,030,815,928,870,588,733,939,691,584,127,807,762,802,276,785,950,555,
967,240,099,459,199,806,171,373,860,236,607,374,175,208,233,539,421,843,322,
638,291,402,310,808,430,121,801,879,946,864,577,191,646,084,714,382,369,608,
354,197,718,630,099,078,743,835,680,791,634,966,412,488,732,924,142,341,727,
446,440,634,090,230,950,253,331,534,493,733,133,750,330,435,221,385,272,444,
048,391,758,465,988,380,420,425,405,789,089,669,011,547,622,029,398,893,213,
780,987,889,677,362,466,242,331,897,567,058,110,829,599,382,119,438,624,668,
175,409,616,544,625,909,068,866,050,846,748,126,142,784,168,449,223,396,281,
156,077,369,837,440,095,199,821,134,918,247,533,149,267,002,553,052,430,712,
392,793,976,947,967,763,998,842,903,827,440,598,878,002,263,318,485,754,707,
305,802,438,514,771,473,052,243,701,640,162,936,973,021,974,273,086,099,441,
447,857,644,957,596,528,136,295,471,946,335,728,490,197,864,026,717,457,641,
786,816,512,907,192,827,837,397,026,975,023,127,234,746,981,429,873,630,835,
352,434,750,081,375,587,527,261,759,793,684,987,631,166,487,870,099,489,450,
359,353,774,225,092,834,178,422,883,383,131,225,872,320,050,549,960,794,353,
188,362,492,532,817,072,781,217,911,913,415,126,332,102,104,684,311,180,732,
747,091,428,075,204,475,045,646,293,683,862,858,856,243,961,751,967,852,594,
346,945,691,280,613,601,800,866,944,850,461,248,277,273,935,912,794,754,500,
874,208,412,934,209,141,366,093,816,116,843,648,110,045,265,793,323,658,653,
743,235,799,140,181,529,482,362,778,025,670,953,362,565,119,178,906,162,417,
161,438,797,019,737,282,256,851,150,440,208,972,040,696,326,354,637,361,005,
733,011,308,122,233,600,338,773,755,321,126,212,990,631,948,412,287,753,318,
750,680,896,413,760,039,432,216,505,726,251,927,464,435,302,685,519,677,261,
524,476,730,708,962,107,611,723,994,600,267,292,145,267,521,695,145,408,177,
652,202,309,660,670,621,755,136,872,458,652,215,123,711,119,452,610,668,151,
871,991,766,432,721,227,475,225,771,163,570,389,181,486,767,383,073,823,800,
126,013,043,423,563,132,690,016,324,602,601,875,980,643,598,042,263,023,724,
767,106,658,342,148,615,126,490,769,343,848,963,937,343,914,968,473,855,779,
658,344,762,696,265,993,605,229,555,775,736,211,262,649,408,361,039,695,638,
048,381,419,424,073,418,838,502,077,047,740,667,596,270,295,521,894,358,626,
547,814,677,678,326,240,919,254,236,519,990,071,709,378,936,835,915,726,175,
920,008,555,305,272,704,167,815,613,038,822,566,257,362,689,163,556,924,058,
711,917,254,456,790,616,333,380,180,124,658,436,173,534,994,106,949,105,499,
049,286,301,015,059,891,862,465,202,879,616,677,493,530,329,544,377,406,726,
445,807,902,750,939,540,562,648,014,836,631,193,574,933,437,752,150,942,777,
805,254,177,279,833,555,889,195,000,276,343,964,934,480,446,620,351,603,248,
097,026,830,966,598,280,488,585,790,134,277,270,755,022,947,513,660,763,129,
859,475,430,744,370,388,946,386,365,512,156,852,427,479,869,220,909,618,698,
853,462,351,642,072,453,162,823,676,505,475,557,517,701,585,333,589,481,453,
549,033,736,704,572,721,363,012,911,659,351,548,632,903,852,921,192,230,358,
166,786,312,789,497,748,545,448,427,296,440,265,745,360,780,187,259,683,533,
772,326,070,356,401,574,041,997,355,894,399,862,479,162,601,906,746,590,411,
570,046,678,945,178,918,752,445,120,889,344,530,174,064,774,347,574,178,620,
390,022,297,471,799,303,587,074,148,031,750,221,718,795,881,797,026,148,840,
241,065,819,952,923,729,025,525,042,022,295,136,228,053,170,978,538,855,901,
840,842,294,397,558,555,039,690,561,110,154,601,104,146,924,192,999,885,000,
374,003,334,603,551,890,071,427,878,966,222,332,597,517,327,663,246,269,493,
496,859,124,045,042,392,935,527,748,393,681,109,561,752,509,319,940,346,786,
412,679,888,083,136,964,230,760,018,864,114,868,337,270,220,548,028,277,198,
194,873,697,649,280,387,896,869,989,307,257,950,740,234,500,422,915,446,040,
235,018,625,115,152,742,487,863,383,725,149,154,650,440,183,538,034,692,436,
873,211,671,507,245,326,220,733,116,664,032,025,052,042,993,808,856,260,636,
535,037,174,266,156,848,466,808,094,914,001,470,383,349,083,328,340,250,390,
900,288,140,072,448,340,637,481,456,545,852,269,944,422,651,461,513,439,566,
759,136,817,627,673,637,027,578,646,871,939,667,582,855,932,850,847,500,186,
246,088,071,848,457,012,988,247,214,342,818,741,875,854,936,137,948,468,963,
045,096,308,394,914,595,720,425,719,250,004,684,589,298,648,139,490,018,953,
251,900,265,300,462,621,270,137,909,871,565,979,539,372,303,819,934,508,227,
090,807,360,685,506,732,713,917,143,878,179,742,443,013,564,447,741,136,964,
091,323,145,897,550,258,953,728,290,278,373,497,267,788,212,015,198,942,085,
230,801,741,684,600,551,918,972,662,151,815,234,323,670,981,493,270,990,846,
943,195,700,973,029,908,258,586,730,462,009,761,217,050,905,761,459,896,428,
986,624,705,535,543,544,530,451,308,935,749,806,251,200,385,183,175,755,662,
902,047,501,774,764,175,322,266,829,466,957,687,004,265,702,428,657,209,226,
074,594,835,536,175,688,443,805,172,172,290,858,464,627,267,049,741,052,481,
783,008,479,040,283,261,103,520,562,233,271,908,999,990,493,364,845,434,748,
034,906,203,117,647,253,164,271,652,357,814,993,966,920,875,458,207,720,038,
802,179,777,221,409,792,871,421,409,790,389,148,855,863,949,536,257,632,525,
353,798,670,850,091,518,909,259,695,852,468,581,600,326,174,819,718,413,378,
092,986,898,081,369,629,350,208,493,077,995,877,774,320,311,267,361,669,014,
678,908,478,252,969,106,745,688,264,204,852,134,308,818,784,094,478,623,159,
276,109,485,132,114,845,060,441,300,710,545,002,134,396,037,931,831,924,866,
475,867,092,059,928,877,097,257,903,979,450,949,028,112,939,492,843,638,613,
061,045,890,257,691,056,407,545,848,259,974,622,265,453,575,118,063,565,325,
744,925,678,562,154,060,358,161,143,590,459,204,815,501,965,146,011,338,811,
567,126,643,831,794,988,624,134,441,900,894,299,369,772,498,619,358,529,079,
863,262,262,940,456,678,573,868,924,152,662,330,507,115,253,051,796,776,323,
399,277,772,713,967,405,212,459,762,320,226,914,444,701,138,096,329,253,945,
669,661,776,079,705,010,741,546,351,403,636,605,331,474,218,927,225,011,602,
956,079,802,834,400,307,005,137,059,901,925,561,904,169,808,387,551,312,347,
481,136,875,180,705,093,478,708,794,754,616,382,263,828,553,772,200,715,908,
581,245,415,476,766,271,223,908,490,478,008,467,016,134,774,353,920,117,691,
009,000,761,368,700,843,997,774,609,022,989,643,528,732,676,226,071,484,955,
622,809,242,765,806,325,543,600,884,716,480,389,843,809,126,731,839,785,750,
984,141,666,097,809,117,037,457,126,291,850,749,539,770,359,633,076,706,620,
114,548,881,010,209,737,007,979,109,399,898,207,922,094,347,391,324,470,039,
097,124,232,241,770,339,933,791,710,488,031,226,209,490,413,895,803,429,002,
790,389,803,159,983,586,122,770,357,944,897,464,131,038,446,617,710,827,441,
497,632,572,939,359,072,660,097,508,551,122,762,675,376,837,530,303,417,962,
842,350,623,891,060,317,977,901,064,960,544,087,460,220,578,906,884,053,730,
883,396,821,306,488,759,040,743,287,182,968,587,344,737,522,352,886,202,907,
020,476,875,361,549,584,327,676,230,301,357,389,566,523,875,620,308,935,532,
673,560,108,519,513,047,612,895,383,081,376,629,379,395,123,367,606,995,589,
824,076,175,949,403,321,945,682,994,173,530,152,044,960,296,906,621,225,348,
611,210,487,452,698,193,221,975,285,620,458,281,308,638,744,547,837,742,028,
287,240,315,174,817,713,497,231,422,478,621,078,655,587,047,954,111,013,061,
787,106,483,351,318,130,377,526,812,780,636,772,702,816,543,293,917,696,530,
794,437,063,607,923,037,682,596,498,184,142,099,687,646,374,762,143,734,205,
662,176,140,715,606,093,116,323,714,361,491,072,665,029,672,175,591,353,027,
073,152,146,284,409,461,000,823,920,352,544,017,780,398,116,111,218,961,349,
894,614,637,650,486,816,092,892,357,061,300,423,974,825,340,256,250,394,687,
598,381,860,584,570,366,224,637,175,112,356,898,469,291,078,215,113,332,816,
030,622,699,556,111,608,700,024,987,221,978,538,842,870,522,859,712,237,171,
824,409,284,156,398,983,916,144,866,078,481,013,321,658,712,906,240,101,347,
175,421,993,731,976,301,939,186,488,852,740,403,416,257,825,068,949,300,614,
760,568,008,238,367,967,245,861,775,663,738,201,665,101,863,079,119,118,601,
677,518,777,894,058,746,031,656,880,040,446,206,920,256,694,133,522,343,963,
443,810,911,640,757,198,976,927,714,740,428,884,598,653,446,568,154,399,811,
781,413,798,857,773,945,033,307,163,430,611,409,203,836,023,208,134,321,961,
839,269,841,347,835,093,015,681,212,116,298,170,073,217,406,114,034,784,570,
482,854,871,537,332,558,604,561,467,615,838,976,144,118,100,999,230,267,260,
524,812,328,490,175,303,170,500,388,669,719,437,006,328,191,728,142,173,103,
860,801,699,839,962,164,678,701,601,340,750,340,642,933,073,417,073,877,884,
445,768,680,732,080,061,271,967,578,331,266,309,183,258,509,740,295,374,555,
788,328,402,943,185,910,835,309,822,983,694,973,559,935,123,005,706,776,652,
078,403,996,969,122,871,932,987,372,210,677,608,583,687,253,831,510,599,411,
152,517,598,572,179,573,344,148,420,803,791,570,156,356,434,633,920,406,917,
158,077,283,467,982,739,832,478,195,660,690,782,025,385,578,945,227,843,995,
923,325,010,562,153,067,918,871,689,096,529,817,627,546,228,336,148,086,876,
394,295,781,292,214,354,302,300,377,569,674,295,062,041,934,788,296,536,589,
010,999,281,185,376,868,028,135,776,573,485,784,276,408,828,162,739,473,803,
099,664,348,684,923,816,359,735,145,046,527,542,555,499,688,083,967,312,641,
807,368,617,441,327,163,094,899,753,786,940,025,294,819,708,530,445,911,862,
361,305,932,402,109,798,248,778,081,626,331,312,538,702,708,389,934,160,180,
798,872,833,614,004,848,254,577,441,765,700,001,270,488,609,075,155,053,634,
136,621,832,905,557,626,256,635,055,599,869,498,161,305,431,214,748,497,979,
701,198,204,133,010,366,497,987,616,021,236,877,991,328,788,729,535,312,420,
678,017,823,819,034,811,922,770,652,202,783,851,952,874,466,492,887,087,681,
710,545,580,509,999,270,543,241,713,030,091,542,541,324,858,861,052,683,291,
446,117,003,307,331,553,728,002,164,754,272,991,555,551,762,380,773,639,878,
604,771,658,547,001,149,207,413,677,086,164,031,524,629,398,179,241,751,531,
812,472,578,043,708,610,039,766,870,070,709,611,225,708,807,781,325,426,146,
578,689,374,606,972,210,650,698,392,385,028,932,805,777,380,250,138,714,950,
220,322,093,710,010,826,829,620,005,731,643,717,053,374,766,536,545,345,206,
024,281,425,243,849,998,100,045,721,548,701,548,664,976,823,379,366,291,112,
867,038,796,568,247,125,734,266,637,669,199,378,426,254,791,378,942,889,250,
151,927,573,037,804,324,316,874,063,756,614,607,339,991,936,497,312,828,159,
249,292,558,934,667,475,559,083,352,915,272,289,433,682,547,304,127,399,451,
802,278,730,884,317,560,516,691,392,888,411,745,608,615,731,390,419,208,413,
728,142,008,246,408,061,891,222,890,066,860,130,402,831,153,940,401,528,881,
680,036,514,910,516,514,202,214,018,996,187,278,485,090,070,495,244,347,494,
413,604,819,544,932,419,381,874,667,372,970,556,547,280,657,834,905,502,658,
993,888,847,486,119,781,424,757,175,470,977,738,461,262,607,259,111,909,937,
062,146,300,813,767,997,472,440,736,401,495,483,399,716,332,903,882,811,579,
656,360,650,249,350,060,158,241,756,824,323,019,757,370,538,909,250,816,688,
796,897,964,264,948,651,772,386,521,464,212,906,266,073,944,728,396,168,622,
310,449,757,300,986,834,658,674,245,321,297,360,653,919,410,422,162,091,387,
303,583,342,944,787,752,330,312,541,652,416,502,443,539,143,187,029,133,541,
264,359,199,792,545,478,812,007,427,683,292,220,084,788,904,538,903,191,192,
787,856,241,106,670,556,291,907,363,927,694,548,337,863,242,895,926,001,146,
976,013,748,794,049,762,018,498,120,593,173,422,024,006,130,867,655,004,972,
043,769,047,892,639,161,073,688,369,331,291,950,216,984,229,539,301,679,827,
692,188,970,423,937,748,105,963,368,824,214,000,620,863,871,732,270,024,267,
905,496,344,395,597,132,570,629,222,496,062,013,286,585,568,526,539,115,074,
852,148,006,728,146,725,149,113,007,968,914,533,528,312,929,480,024,104,270,
256,343,734,281,879,072,391,240,041,175,928,593,191,290,830,336,459,043,537,
097,687,827,952,540,981,760,630,335,188,955,897,217,759,444,280,749,469,866,
259,529,659,057,226,109,314,506,696,294,657,414,974,741,274,576,717,567,848,
036,205,203,803,036,125,271,024,583,828,092,769,374,623,572,595,391,230,086,
007,135,565,295,693,734,440,457,036,944,670,347,415,806,459,344,352,812,233,
410,134,030,271,825,527,197,554,516,197,595,909,624,205,594,454,086,359,653,
986,508,610,195,981,127,107,271,460,824,728,621,369,698,430,703,814,537,886,
086,675,966,064,284,919,441,889,971,726,999,725,409,886,413,393,897,409,658,
942,515,267,954,088,954,633,919,771,649,441,961,534,849,552,684,878,795,744,
606,475,422,828,566,615,190,596,148,796,878,974,947,147,516,143,437,429,954,
665,387,692,106,261,063,460,181,177,591,250,196,133,334,797,700,999,551,121,
043,627,019,312,410,113,824,521,347,366,752,952,860,949,401,869,779,724,626,
437,190,521,253,857,225,180,605,875,387,720,760,378,781,351,065,618,812,875,
636,525,594,679,330,411,317,106,564,272,262,833,108,260,247,106,782,617,120,
593,563,503,930,381,547,742,775,063,090,321,250,234,728,439,912,903,802,981,
051,292,961,054,717,050,512,357,646,447,844,270,930,330,824,103,173,498,293,
903,073,859,248,254,057,860,263,307,445,284,217,373,489,759,936,503,409,211,
643,774,739,264,382,129,243,255,212,869,560,756,269,099,607,648,763,211,518,
054,473,163,330,461,576,891,646,414,416,755,925,220,548,286,182,919,803,497,
418,459,051,166,477,432,574,041,595,676,286,738,012,762,345,241,934,964,973,
674,181,768,287,248,158,839,673,982,491,265,209,522,756,545,473,164,237,349,
150,017,680,175,736,369,587,144,601,244,313,756,756,765,172,577,753,972,143,
173,449,796,715,412,427,987,370,699,127,837,573,383,890,079,391,113,892,212,
727,324,470,999,163,848,934,412,239,086,222,769,434,625,911,719,629,218,903,
068,211,181,709,403,527,386,215,195,179,864,317,005,985,422,611,322,465,984,
766,594,625,405,261,328,532,095,988,240,189,219,844,751,241,322,442,381,984,
143,972,452,343,498,061,529,664,468,049,197,046,274,361,946,900,324,521,386,
140,783,248,842,231,029,330,041,373,958,387,277,697,555,006,856,308,969,779,
349,949,723,362,035,565,628,271,706,147,379,095,926,741,872,320,804,490,649,
343,655,462,720,160,147,743,010,365,524,562,975,276,935,012,161,774,726,763,
855,798,212,150,825,577,466,084,147,812,093,903,854,836,986,511,976,694,382,
263,222,408,479,466,105,544,059,873,379,940,617,316,587,670,986,415,033,186,
057,285,061,917,015,837,649,536,809,771,955,673,410,953,719,156,354,517,863,
686,790,919,410,832,811,511,620,730,990,933,383,423,795,183,743,845,883,928,
202,433,701,156,433,107,379,402,147,820,289,056,038,457,013,495,167,286,393,
558,377,106,768,838,348,530,073,742,269,776,475,290,912,344,289,077,692,861,
482,641,690,199,861,767,650,294,243,082,189,204,315,674,306,290,575,499,591,
541,328,606,417,023,919,645,361,768,480,937,292,924,193,053,445,201,063,545,
638,791,397,656,730,912,730,738,825,591,697,247,648,168,788,515,263,035,410,
698,578,181,237,376,817,139,642,640,883,561,083,460,291,093,095,872,948,725,
848,587,814,257,699,565,397,590,337,366,226,252,789,153,601,579,285,514,911,
472,351,113,112,742,392,365,019,981,195,777,892,769,631,752,161,101,789,575,
479,313,085,031,785,159,579,885,661,908,588,925,264,439,608,059,977,598,005,
160,163,409,156,857,427,052,605,722,116,721,898,685,232,386,639,255,514,735,
837,467,256,637,902,826,213,513,046,388,077,914,684,465,307,363,068,748,610,
127,332,613,097,731,216,721,430,208,515,451,770,718,407,258,591,981,510,960,
271,048,197,680,445,692,894,930,630,429,033,121,686,762,702,405,778,090,263,
014,768,048,663,261,432,153,129,811,180,777,041,252,843,662,839,669,633,190,
427,739,620,555,982,758,564,941,687,890,197,399,654,456,293,318,710,344,457,
000,443,736,902,717,174,798,359,429,586,919,384,975,707,990,040,322,821,856,
712,066,916,039,775,195,266,946,251,114,841,429,128,301,284,588,778,538,319,
263,673,082,008,385,881,551,551,671,453,473,694,840,021,064,628,860,625,404,
274,722,683,277,291,278,834,826,162,601,804,113,625,112,714,238,046,783,099,
256,655,165,508,452,788,356,597,107,599,519,852,592,667,020,029,925,155,981,
928,600,954,839,841,275,014,931,700,760,064,998,398,486,499,109,195,141,108,
739,568,744,345,294,767,116,013,662,067,954,043,551,341,134,817,061,121,744,
307,060,154,992,664,918,217,468,060,042,752,184,109,968,342,382,807,502,372,
107,729,005,767,547,211,287,935,622,673,123,059,841,105,384,295,512,088,305,
639,804,052,570,671,875,389,670,678,979,752,733,919,189,715,366,031,437,844,
266,759,429,774,714,437,748,829,566,756,959,006,678,285,198,626,596,480,392,
115,797,476,524,350,891,726,138,593,419,557,495,856,728,246,433,858,851,165,
367,960,837,263,668,242,785,741,714,417,050,593,750,718,789,325,939,935,402,
871,651,291,348,167,937,707,800,719,529,098,261,082,586,332,015,149,947,855,
086,240,124,540,049,975,602,639,915,492,416,495,654,420,206,613,187,187,626,
053,797,072,063,349,204,058,094,366,878,095,888,373,648,656,332,708,413,835,
577,558,556,599,812,605,266,776,210,990,425,286,721,628,989,209,285,159,677,
535,617,416,509,594,818,649,620,301,353,178,829,501,101,651,101,463,974,751,
679,443,200,221,505,766,892,275,174,516,212,730,192,725,386,062,028,896,590,
068,160,835,205,839,788,292,326,012,314,840,916,002,591,355,579,887,854,979,
405,849,233,383,275,429,914,318,149,266,367,882,956,466,718,737,527,718,088,
156,583,355,359,571,014,166,196,644,062,655,701,641,337,210,005,964,937,095,
154,549,337,177,067,699,363,440,081,446,674,614,747,575,871,194,469,942,116,
610,743,116,284,499,507,402,706,218,021,513,947,841,976,843,829,860,168,224,
675,287,006,170,341,057,503,922,303,087,505,256,622,127,081,303,380,185,620,
051,456,867,402,645,986,484,038,493,606,305,522,848,279,219,580,372,869,566,
710,351,590,929,467,466,802,906,919,881,826,915,396,999,175,013,748,704,422,
089,785,811,936,650,519,105,057,333,512,031,641,629,722,499,604,384,644,844,
039,182,743,378,016,986,121,631,361,190,575,037,054,775,912,880,347,331,565,
936,011,345,586,826,281,573,603,245,503,214,949,198,944,103,637,300,075,230,
655,816,699,929,022,234,013,523,616,710,358,450,712,101,754,618,015,371,413,
082,858,051,527,283,747,660,320,978,435,289,133,004,306,659,706,658,570,964,
345,601,754,805,627,334,556,943,689,858,486,094,694,300,951,860,669,367,698,
364,096,982,995,135,433,986,086,346,935,332,538,126,719,660,417,674,987,133,
368,475,571,103,631,423,537,425,436,377,591,564,989,667,309,570,009,494,311,
416,189,107,171,299,531,890,477,795,797,287,091,320,047,433,718,519,051,093,
310,029,966,112,846,823,452,568,670,536,704,405,429,360,836,303,348,168,742,
082,376,889,739,994,334,668,711,399,711,514,164,830,746,044,199,290,399,869,
544,361,085,334,540,912,822,989,021,518,856,117,846,002,055,833,685,905,007,
027,583,696,062,645,736,558,055,456,874,510,934,142,414,640,828,763,772,408,
265,463,073,749,474,496,470,241,083,276,918,780,740,659,713,151,937,042,105,
556,930,041,138,478,333,255,892,807,805,557,206,084,936,775,331,029,232,736,
688,458,001,594,606,951,642,691,292,863,256,605,682,044,741,757,217,702,649,
257,261,808,876,405,412,699,367,092,331,401,192,926,843,296,761,387,590,031,
387,162,956,889,271,342,931,871,705,384,376,024,083,182,195,086,696,583,480,
781,100,636,177,312,670,569,476,276,231,113,974,781,756,910,924,071,658,067,
282,594,632,285,528,358,931,899,060,631,519,987,921,460,210,182,431,655,268,
598,073,778,694,757,648,210,525,820,808,622,589,917,546,732,729,127,098,653,
302,847,608,831,480,576,039,484,319,735,696,576,864,589,033,231,070,720,153,
750,690,990,947,357,387,605,367,852,090,238,570,278,300,662,568,377,323,127,
302,917,810,413,381,730,249,923,752,857,919,801,913,876,687,200,751,457,975,
873,977,176,508,540,617,644,760,657,047,456,705,195,985,134,704,282,920,875,
716,194,165,431,724,583,704,363,042,996,538,446,777,005,219,822,468,285,107,
631,202,245,409,519,294,275,764,034,249,507,329,148,409,873,688,303,479,815,
209,126,165,102,897,477,909,152,282,739,808,117,257,698,544,038,289,002,839,
820,461,399,294,244,381,663,502,190,967,685,385,796,407,202,886,764,932,937,
349,233,307,150,720,646,765,581,735,438,481,208,870,487,209,216,698,962,619,
784,604,169,563,443,498,362,597,581,942,091,973,330,194,560,431,040,327,256,
297,946,647,753,598,857,199,014,020,987,416,639,535,275,970,653,161,248,642,
017,508,457,510,458,051,758,247,917,531,022,542,854,087,980,686,983,760,533,
976,298,582,523,109,709,018,081,667,879,225,278,828,439,526,396,736,204,601,
073,726,556,534,383,583,535,847,462,543,760,578,253,965,302,922,736,895,783,
791,389,975,262,546,065,141,610,572,180,072,183,274,626,834,505,444,493,502,
440,256,895,268,455,214,981,176,171,447,585,498,526,847,774,995,074,903,927,
328,947,171,202,871,821,704,268,376,862,107,796,267,163,933,169,452,927,175,
294,658,976,485,518,515,719,533,570,500,961,002,206,284,509,162,184,497,291,
256,739,590,711,344,588,057,656,838,611,735,079,597,190,276,334,218,838,007,
324,765,718,351,501,472,898,641,505,018,501,022,970,254,318,314,381,263,199,
522,778,729,841,685,678,295,936,545,121,536,284,023,716,377,126,559,051,187,
961,848,886,528,451,838,570,307,977,535,526,183,707,471,799,553,012,078,843,
611,050,648,537,839,302,807,072,021,731,847,521,029,370,018,245,365,132,935,
294,381,504,684,695,404,684,638,161,470,705,726,044,691,265,515,483,795,052,
932,150,158,348,551,947,021,406,222,286,583,467,583,954,939,573,013,510,176,
104,078,654,691,515,454,466,393,725,386,463,669,164,631,290,548,389,078,939,
341,268,713,840,002,694,940,136,476,370,401,367,962,566,238,991,515,735,327,
504,861,233,312,337,617,013,863,714,457,128,720,457,515,913,228,487,241,416,
153,755,817,610,304,958,458,896,268,441,735,056,296,983,299,497,440,923,808,
398,824,740,554,169,208,810,986,246,499,621,192,704,074,442,512,254,481,233,
683,996,994,382,124,371,477,833,736,076,628,807,588,015,719,258,178,469,362,
463,567,280,984,232,594,489,713,336,647,524,631,231,498,633,170,718,612,528,
521,113,030,433,547,500,272,515,171,593,459,902,567,680,439,370,319,500,563,
560,395,131,823,845,062,633,293,442,883,253,812,502,537,385,766,537,985,447,
539,451,019,917,831,479,726,809,847,868,302,053,337,386,974,743,543,052,020,
914,574,825,558,600,794,325,584,003,906,202,810,473,820,841,833,194,403,330,
054,133,064,642,918,465,220,958,475,062,112,120,582,799,258,260,656,415,197,
964,562,678,140,080,032,269,660,273,729,742,773,005,120,708,484,646,100,841,
901,122,605,145,974,986,599,032,199,463,570,711,397,696,056,430,771,890,223,
047,426,481,612,334,647,249,955,179,209,426,924,163,318,734,341,617,316,267,
671,483,428,115,362,149,890,646,765,017,783,877,742,292,395,627,007,429,373,
358,273,621,406,780,732,265,168,372,390,544,231,043,554,751,780,590,220,923,
653,037,075,621,246,560,933,896,032,797,149,167,726,844,606,117,605,032,709,
644,354,373,885,289,217,230,014,729,106,752,135,555,676,895,677,327,488,227,
626,449,281,018,350,814,577,875,763,439,598,333,893,665,992,604,688,684,858,
925,046,927,515,233,823,103,282,078,029,434,836,304,621,517,264,304,727,371,
837,455,579,427,263,683,007,273,234,638,030,158,579,095,381,939,866,749,021,
438,574,072,799,890,292,866,469,712,617,987,661,372,170,168,547,099,780,642,
172,830,187,853,034,336,162,185,971,340,699,525,174,626,715,637,329,291,377,
304,784,079,790,197,944,842,304,030,587,673,475,752,489,022,364,332,153,667,
050,024,108,149,624,546,540,521,887,169,989,047,447,217,903,545,995,939,825,
256,016,281,735,623,781,724,698,283,246,872,565,825,307,777,687,661,893,235,
681,009,874,835,482,406,562,726,124,742,784,931,922,487,734,521,652,517,504,
018,602,745,093,079,978,041,966,132,891,406,368,844,924,084,684,682,967,439,
786,329,131,741,068,654,214,970,877,646,476,155,425,362,852,074,380,108,664,
398,577,067,911,013,080,408,736,516,337,521,291,057,188,920,941,198,562,074,
933,613,665,413,840,981,198,625,822,467,136,250,898,895,369,739,464,743,467,
197,174,977,791,693,451,546,020,758,817,490,708,639,552,196,224,228,107,389,
939,588,608,827,115,681,347,352,676,791,439,508,280,413,023,267,550,698,939,
439,843,313,957,632,267,062,977,604,374,151,042,258,382,338,862,441,453,807,
820,783,590,893,380,972,240,439,974,773,224,068,104,341,022,967,573,356,486,
228,521,141,421,129,420,786,927,238,136,984,276,733,572,587,646,167,190,024,
699,769,408,569,692,539,668,843,475,386,605,676,998,245,785,693,199,111,086,
738,673,319,172,330,188,383,538,947,930,881,675,740,791,605,529,713,148,117,
138,528,733,652,493,551,854,107,894,570,820,449,779,640,822,837,404,204,471,
243,797,996,528,496,423,816,952,057,623,287,190,629,248,238,551,417,811,180,
596,881,536,859,645,390,707,018,996,318,074,799,240,558,865,527,304,910,292,
150,435,855,023,924,524,763,004,200,977,000,396,941,935,794,291,792,867,414,
389,458,633,973,716,839,838,148,173,546,581,208,837,518,853,334,792,133,055,
819,360,082,992,321,573,927,497,257,988,980,484,520,676,405,447,686,596,063,
965,581,033,660,492,408,768,528,634,109,474,562,518,648,455,444,053,996,421,
305,657,615,260,648,147,630,316,823,197,440,459,615,731,448,343,579,534,689,
162,138,317,456,322,403,057,728,150,161,660,711,944,133,588,608,283,097,774,
256,275,234,887,235,295,336,852,024,644,008,760,183,660,515,113,026,505,800,
340,740,312,045,449,631,258,318,317,942,697,237,248,443,057,752,096,090,638,
182,256,884,824,852,145,189,923,187,962,581,471,142,214,466,809,462,514,684,
899,609,362,220,940,494,246,679,354,849,527,465,766,144,488,234,511,821,408,
379,494,507,536,548,764,696,249,876,342,395,918,463,215,174,613,777,093,922,
405,632,846,851,944,592,045,938,820,385,005,483,278,527,960,110,184,996,982,
323,008,734,913,409,060,802,859,353,978,562,905,756,645,653,341,421,851,152,
058,959,775,211,636,232,189,664,556,660,650,239,032,818,684,834,433,591,646,
704,834,686,085,043,605,810,079,712,011,995,561,368,455,719,105,472,651,022,
553,988,001,601,815,670,883,130,599,778,743,428,071,177,086,545,139,871,630,
042,581,871,870,903,864,195,087,185,198,122,194,926,661,982,643,097,351,662,
970,221,134,201,971,672,270,203,667,809,917,943,570,541,339,456,987,087,326,
230,891,356,033,252,070,688,344,568,993,795,272,059,217,831,817,645,622,172,
719,024,805,306,955,711,768,322,269,680,930,583,939,101,660,629,123,325,676,
446,106,983,766,129,316,310,157,225,229,479,056,060,626,651,330,837,073,907,
068,254,892,887,373,266,537,281,369,559,332,536,754,712,481,517,251,276,530,
488,884,920,204,417,137,106,129,358,868,528,800,549,141,760,195,667,477,350,
862,308,850,374,107,524,901,552,028,783,825,006,073,503,246,478,287,639,524,
702,000,031,964,037,648,199,609,536,040,159,789,989,956,742,045,287,012,695,
616,308,138,841,241,644,897,842,211,220,175,889,671,599,029,366,551,299,074,
513,829,723,106,880,574,127,354,689,564,835,279,888,602,543,758,687,981,045,
314,295,505,032,745,035,526,525,580,173,383,633,681,253,216,883,011,009,224,
102,431,994,842,765,057,495,142,947,402,463,699,555,671,688,039,891,439,351,
952,534,832,436,701,547,692,342,478,336,191,016,136,084,270,818,585,675,066,
694,679,599,855,247,029,276,635,436,870,338,570,041,374,031,998,587,344,824,
933,113,463,469,447,117,550,377,375,394,349,954,718,784,060,056,798,911,883,
745,120,549,636,814,480,322,394,250,977,425,413,401,842,748,843,245,474,265,
531,407,785,846,175,678,549,985,198,147,666,647,998,680,916,680,675,715,003,
361,480,706,130,750,729,206,245,443,370,053,064,572,157,651,134,682,848,861,
636,818,757,269,814,991,462,993,425,656,242,495,621,597,406,230,912,915,241,
544,657,738,762,653,071,694,887,382,610,304,689,523,765,578,972,445,358,439,
959,210,534,505,343,756,054,525,246,400,844,244,230,776,062,682,829,106,299,
347,287,984,622,307,922,743,753,179,645,729,195,118,175,222,520,385,657,361,
669,424,470,671,605,828,171,761,884,822,971,186,436,083,139,686,160,090,883,
155,182,013,138,776,428,607,928,984,133,482,709,979,017,488,815,980,213,721,
123,868,632,114,003,307,343,742,854,298,587,209,450,363,784,662,072,746,755,
802,020,813,495,282,501,366,892,438,309,949,891,622,674,190,307,915,493,419,
007,111,040,272,211,960,908,861,226,099,392,661,550,760,369,955,808,897,899,
704,978,672,438,004,154,298,950,175,200,110,451,062,153,718,179,759,403,484,
003,368,672,132,692,517,686,273,183,717,858,134,293,897,690,022,231,282,689,
259,168,522,435,018,158,664,398,782,511,419,982,291,204,821,085,046,882,043,
823,869,228,990,664,763,523,277,752,336,248,110,423,559,064,908,867,993,019,
868,585,180,964,216,460,356,098,822,973,386,781,112,209,353,206,462,439,300,
083,951,089,450,370,206,438,001,207,717,663,906,086,880,529,186,827,527,552,
834,632,082,455,522,649,945,729,377,558,006,175,002,435,894,214,370,004,526,
049,324,746,873,491,310,333,801,677,760,088,137,182,771,952,819,495,183,620,
306,018,503,703,807,360,015,752,507,737,952,967,846,928,336,762,411,703,248,
148,850,522,842,372,192,442,272,752,396,435,011,438,607,317,941,826,872,698,
775,989,912,745,328,937,972,635,568,718,168,763,232,454,190,988,794,963,326,
318,997,346,238,432,211,877,684,686,663,930,183,655,798,849,797,849,105,298,
141,267,619,942,751,442,140,683,899,081,797,037,895,651,314,724,486,449,917,
073,738,366,598,097,269,789,440,401,097,779,546,968,848,173,177,211,732,227,
651,138,240,000,832,665,233,859,084,203,233,988,633,565,403,854,942,816,239,
896,238,206,073,046,034,921,189,433,988,569,099,383,289,133,878,081,549,214,
273,069,672,118,180,336,412,117,831,837,500,562,791,619,581,876,311,921,969,
969,233,895,989,213,921,625,655,789,586,328,653,206,123,726,030,832,261,742,
186,056,242,440,720,734,892,535,199,879,743,274,573,013,098,385,281,614,648,
656,786,715,564,382,979,768,424,701,661,964,158,059,785,257,656,057,980,073,
626,224,762,607,020,343,924,676,941,441,585,196,710,169,472,494,796,410,117,
041,282,555,106,384,565,088,123,062,260,344,274,892,750,235,679,700,774,909,
105,025,803,575,220,465,124,800,287,727,372,647,243,208,343,441,951,454,853,
548,157,602,973,492,223,333,293,160,549,900,667,893,557,326,247,024,656,448,
201,565,550,323,929,849,659,729,792,653,547,627,724,468,803,666,366,171,173,
586,707,076,703,927,953,547,962,795,347,917,404,115,084,726,805,811,227,758,
285,904,334,625,847,701,261,672,697,846,699,334,595,301,344,444,640,432,127,
219,145,994,367,411,127,732,858,563,854,067,811,651,521,579,802,651,942,398,
817,606,228,028,990,872,085,128,251,413,355,969,077,051,334,583,064,293,423,
206,127,615,819,611,337,680,323,617,873,389,435,609,443,201,931,008,146,384,
468,471,021,488,590,762,572,681,111,678,060,222,713,409,412,141,740,312,065,
480,892,957,792,806,096,586,680,109,467,454,618,021,163,394,641,539,187,476,
799,278,351,842,563,560,335,610,889,162,683,421,899,852,407,850,733,398,891,
677,940,966,658,256,235,845,937,846,937,008,893,155,389,406,257,895,630,917,
682,270,911,155,595,538,765,864,430,755,565,089,358,113,464,403,082,145,106,
292,734,842,827,120,286,343,761,011,126,046,026,940,849,209,860,805,231,581,
335,100,108,426,817,307,011,772,535,995,198,075,684,831,829,136,751,668,371,
370,858,151,095,257,989,055,233,864,356,532,256,077,225,283,126,843,438,047,
279,940,159,368,527,909,288,650,562,574,480,063,768,056,461,047,755,837,987,
177,713,707,175,714,858,606,206,698,775,337,648,766,518,135,560,343,659,768,
193,585,399,256,846,062,098,463,672,457,467,275,788,041,348,673,420,409,005,
042,981,934,467,107,507,286,408,799,739,751,232,090,827,334,004,172,117,649,
423,170,396,172,086,725,656,865,497,390,921,881,693,724,266,641,383,228,545,
367,866,716,392,623,917,925,718,496,227,805,036,704,417,293,791,988,549,289,
692,770,388,027,903,674,790,762,282,873,468,903,128,334,068,941,839,586,889,
865,049,686,387,182,598,984,855,181,380,132,400,595,883,550,737,332,072,049,
591,251,659,425,938,453,252,800,713,133,469,722,593,201,836,230,403,254,481,
518,665,102,273,824,735,875,913,905,160,388,407,891,027,820,852,635,661,908,
560,014,398,765,507,392,588,735,410,091,299,587,998,927,694,443,752,718,340,
487,114,269,387,112,969,332,932,355,114,423,925,108,705,947,866,593,951,047,
960,900,356,543,367,613,927,004,452,711,031,755,327,513,201,322,094,917,775,
558,185,674,247,172,189,352,473,752,269,134,027,709,664,640,116,312,794,477,
146,223,071,562,342,074,592,344,066,611,195,260,572,454,926,142,592,211,110,
255,785,834,726,031,894,829,722,933,386,234,921,934,665,242,868,181,818,850,
438,391,317,236,643,270,582,655,331,704,498,932,906,295,228,802,412,046,132,
791,192,705,230,527,451,622,044,617,563,871,102,240,773,638,914,419,642,386,
312,813,716,333,594,856,203,019,436,270,904,361,961,773,819,703,299,078,349,
417,882,874,858,382,934,820,110,625,014,733,666,810,387,260,130,394,268,215,
659,433,827,617,859,098,501,811,505,844,581,631,900,303,923,379,506,421,137,
271,620,328,312,274,938,444,653,392,674,320,004,838,889,823,583,481,986,006,
872,989,494,713,852,397,111,297,822,374,135,420,084,661,512,111,414,337,415,
696,884,702,982,657,542,540,695,352,957,956,139,903,672,118,227,647,597,089,
665,029,783,480,882,927,565,004,889,792,754,451,723,337,469,434,925,934,329,
830,740,867,468,704,376,324,097,690,387,307,911,140,283,770,834,633,451,410,
493,380,555,532,311,640,957,751,632,112,775,194,698,222,698,416,009,660,843,
260,129,754,307,364,815,125,167,384,569,749,719,390,051,754,622,762,543,816,
010,336,959,082,864,795,387,468,848,568,573,631,378,778,998,498,287,828,323,
105,848,377,443,963,161,452,710,755,755,252,248,899,234,262,276,892,854,938,
670,860,000,504,766,776,870,407,647,921,227,190,264,555,623,752,603,191,513,
707,489,565,124,044,540,274,656,942,680,150,461,890,754,889,977,884,696,901,
986,551,557,025,972,470,575,458,898,439,510,251,023,719,234,758,023,224,912,
011,406,272,237,032,623,945,432,895,954,508,315,183,140,472,488,322,229,877,
173,617,920,849,826,942,151,588,522,073,780,054,771,693,499,650,865,752,424,
146,005,423,884,899,137,750,866,828,498,068,621,472,847,427,393,293,955,482,
982,110,838,223,823,115,233,129,177,605,834,168,426,719,358,966,833,926,358,
042,159,394,412,380,177,901,704,821,179,882,615,755,102,008,664,144,247,747,
127,401,017,028,485,013,907,900,878,315,024,998,627,428,140,175,719,368,920,
714,631,646,739,145,935,940,174,119,785,148,473,885,934,568,311,019,530,338,
366,353,715,879,671,104,554,720,944,171,511,236,041,726,938,893,321,688,993,
086,931,919,689,925,761,019,230,257,086,897,101,806,868,777,178,370,729,465,
931,508,071,706,819,787,638,078,646,107,801,826,033,382,504,461,131,998,690,
508,372,555,300,255,324,848,052,194,267,092,755,278,736,752,898,115,255,755,
889,048,100,119,890,230,713,132,828,578,860,174,852,558,477,964,550,982,216,
356,591,591,881,878,829,721,924,159,256,427,323,637,477,434,093,323,481,714,
040,857,130,351,821,143,886,838,311,843,782,438,588,916,329,272,565,811,995,
610,996,786,254,133,616,689,189,035,954,020,348,927,503,389,014,141,902,082,
620,698,462,177,283,424,558,060,019,961,312,889,163,012,925,632,902,537,920,
233,300,040,704,906,124,617,602,862,204,789,644,189,874,309,358,377,340,495,
106,800,599,267,584,735,950,391,765,824,752,540,642,045,741,950,785,205,035,
319,663,715,247,705,552,170,797,303,762,405,221,760,539,580,967,800,175,031,
034,845,421,427,917,226,491,262,834,854,422,659,432,516,932,785,313,080,228,
831,766,059,795,681,771,069,695,947,058,857,902,664,595,996,910,146,932,093,
035,731,406,378,467,684,630,303,209,410,536,819,855,543,368,482,005,362,631,
896,438,869,338,440,332,956,348,609,791,967,793,385,165,307,404,732,597,995,
669,713,840,795,809,014,900,924,368,292,406,541,531,968,977,756,532,728,591,
197,849,224,273,528,973,717,927,885,191,986,584,466,252,578,376,824,097,938,
725,485,715,397,769,742,979,964,104,218,958,702,308,674,730,147,758,359,772,
739,270,080,085,881,964,496,304,987,435,413,709,114,811,640,030,228,520,726,
294,482,058,121,847,483,264,578,445,647,606,414,700,774,789,554,311,981,232,
986,241,479,619,921,658,537,722,745,321,869,365,933,518,957,980,183,440,074,
887,759,373,615,660,950,309,600,583,692,680,345,348,246,668,000,798,928,940,
987,006,589,424,803,003,237,345,620,886,258,067,271,971,007,627,554,646,088,
743,678,282,101,186,398,443,781,640,513,235,243,570,063,960,206,396,761,147,
633,258,821,997,530,862,663,640,911,891,221,554,042,691,937,858,601,752,104,
029,339,780,387,224,967,941,180,973,006,890,303,860,471,073,237,079,241,234,
704,307,525,512,866,299,731,198,783,221,628,107,683,420,359,667,816,276,328,
589,136,581,284,794,841,229,888,290,240,919,525,997,705,116,567,648,553,072,
669,257,990,590,123,267,768,182,079,903,357,680,386,715,239,224,179,513,655,
865,099,172,423,882,604,144,201,603,691,292,728,782,771,631,942,716,221,003,
285,650,072,332,812,926,270,825,826,527,380,471,384,577,915,470,582,091,924,
539,708,188,776,483,145,590,284,813,751,968,028,994,015,083,122,266,947,313,
937,741,800,557,105,321,331,773,331,185,749,200,592,596,634,305,909,014,998,
708,549,800,272,017,873,213,714,287,952,890,635,795,948,434,694,002,831,912,
511,830,787,852,508,687,397,889,307,539,624,052,260,860,859,298,138,975,428,
714,610,451,255,512,518,147,892,053,039,992,932,503,265,215,796,215,127,815,
131,782,278,081,961,299,196,738,615,374,177,646,631,736,572,511,953,711,017,
184,458,698,824,715,294,186,184,136,944,239,521,781,324,557,158,757,989,191,
404,748,410,122,550,964,567,072,949,458,829,712,679,271,184,555,420,327,306,
720,787,233,558,269,486,795,641,770,404,458,528,264,729,846,102,083,515,596,
350,730,339,789,437,725,497,474,880,907,647,344,309,281,544,455,818,122,703,
682,470,466,247,493,034,952,818,340,809,102,961,290,919,784,958,151,514,408,
423,041,544,384,382,840,107,287,512,167,836,778,292,363,316,812,151,054,099,
660,016,439,174,746,927,778,795,460,300,923,983,466,732,514,777,763,263,453,
342,392,788,775,794,688,971,886,988,472,679,193,692,781,665,052,650,696,382,
056,805,168,667,493,374,950,146,586,894,446,724,510,323,943,094,908,664,070,
971,117,821,320,565,979,844,587,329,321,207,348,487,860,414,495,419,686,358,
931,870,044,700,025,544,710,594,455,441,805,811,112,969,254,981,665,028,087,
641,054,945,749,909,225,274,128,873,895,644,786,719,035,768,474,666,228,637,
711,630,611,917,708,741,249,477,841,585,744,450,797,978,849,228,623,629,310,
884,836,702,663,922,828,813,113,444,213,949,658,873,660,726,958,758,641,555,
633,607,575,494,472,417,354,961,320,861,209,655,087,425,290,618,349,058,386,
230,684,821,110,886,244,582,146,804,997,240,419,901,493,861,467,987,396,372,
334,299,005,348,140,718,162,600,224,454,085,474,738,499,887,825,088,945,007,
320,817,384,958,085,928,163,430,151,527,691,483,650,960,196,116,256,714,114,
483,570,341,567,429,708,519,872,492,078,779,244,795,332,018,880,948,397,927,
909,791,886,459,435,390,891,177,215,294,363,013,198,847,746,777,708,822,816,
369,531,971,951,877,142,842,580,787,454,370,756,535,941,304,115,132,836,944,
087,335,100,606,963,768,779,976,489,187,046,327,072,867,008,716,779,799,554,
930,480,188,263,728,950,778,601,590,252,576,271,420,441,302,776,437,266,640,
726,535,419,778,184,013,274,041,296,012,022,935,636,628,467,234,470,882,886,
259,352,110,831,630,395,613,079,502,423,569,821,745,077,727,808,111,269,057,
292,127,136,597,534,522,282,946,413,985,474,707,891,314,618,536,300,369,242,
389,504,542,957,898,056,696,647,387,290,554,939,365,683,099,308,854,260,560,
020,834,752,125,181,880,106,750,008,937,860,705,846,748,201,283,565,858,485,
103,732,235,564,648,921,699,786,354,913,332,371,586,113,883,913,360,271,429,
295,168,663,240,159,857,226,189,622,197,609,568,484,050,542,288,696,657,091,
995,198,679,568,406,461,398,323,318,682,132,242,528,415,023,847,183,425,371,
980,090,648,029,069,277,697,537,562,330,224,793,828,447,921,422,388,783,049,
869,400,500,007,789,372,571,542,733,809,987,907,157,594,845,841,880,251,813,
589,790,743,095,660,383,442,078,523,579,048,263,524,956,906,202,580,246,348,
591,777,532,560,551,891,097,264,143,080,970,013,848,912,311,987,937,618,876,
670,319,074,136,930,522,430,341,447,482,640,260,826,941,130,313,512,356,807,
065,643,932,706,880,852,411,455,140,912,820,725,612,622,431,895,948,971,305,
586,873,613,375,191,237,598,314,504,928,903,101,674,637,801,242,415,515,955,
531,878,912,670,233,680,873,573,586,490,162,617,099,864,284,631,154,749,252,
225,090,769,655,627,240,826,709,882,148,063,770,230,624,513,492,528,472,710,
244,552,469,222,336,133,477,779,896,204,405,525,883,248,037,708,912,945,751,
711,415,395,586,035,651,986,322,754,151,073,021,658,197,840,212,998,768,552,
221,540,671,020,604,747,471,117,115,787,831,583,227,178,188,429,662,523,086,
851,301,412,782,773,354,665,494,945,083,863,368,910,334,483,508,353,081,819,
011,460,690,383,571,247,192,669,482,292,403,441,199,228,672,853,401,806,515,
412,261,596,641,862,679,349,997,200,239,400,048,348,585,319,063,670,809,721,
786,400,234,527,806,877,973,337,420,928,398,462,216,256,766,843,429,058,103,
742,254,860,392,078,971,320,518,728,846,949,490,612,198,136,383,123,152,314,
076,928,379,028,551,406,029,044,939,041,197,455,322,206,615,045,860,145,018,
769,515,662,409,502,906,943,034,012,939,465,792,275,543,358,542,115,373,481,
035,047,203,141,729,655,163,100,131,164,384,223,819,800,929,318,617,653,423,
656,938,486,845,017,538,011,166,260,768,007,390,662,296,447,755,985,773,022,
235,213,721,710,291,324,279,589,443,917,420,277,226,238,815,210,041,475,826,
264,747,468,354,634,325,255,010,212,519,178,445,492,015,967,236,243,460,981,
235,116,072,273,900,746,525,966,406,298,343,711,662,623,347,639,350,629,061,
014,999,539,841,128,266,367,851,829,992,469,390,648,155,787,912,147,013,871,
907,636,374,683,032,941,486,075,150,420,764,441,714,700,493,039,157,303,438,
402,527,002,871,274,378,938,337,023,105,077,570,824,848,135,073,920,556,817,
080,420,285,455,301,353,821,586,657,972,372,439,494,921,421,752,484,152,614,
938,581,400,991,509,499,029,688,887,211,652,994,036,868,736,002,344,271,685,
853,209,879,433,715,503,375,558,516,436,474,298,856,991,341,520,136,271,169,
792,231,813,489,802,261,791,836,072,986,669,342,387,928,780,637,922,791,549,
800,677,397,590,420,945,821,117,373,443,598,550,980,909,300,326,240,417,449,
627,620,838,410,186,633,953,414,202,014,781,792,528,219,748,203,824,328,239,
457,978,212,349,087,159,649,243,855,760,337,534,833,379,213,706,777,663,576,
678,746,222,280,962,629,479,243,412,149,259,577,698,602,947,039,597,762,213,
792,160,992,145,921,434,424,545,627,752,498,684,830,603,570,830,297,407,098,
313,010,989,574,402,545,785,127,797,231,572,650,033,759,576,751,490,517,672,
722,667,811,571,252,870,252,177,198,547,334,193,017,926,579,271,857,713,367,
761,234,401,275,433,459,945,082,589,976,514,915,686,531,491,012,188,026,546,
179,835,543,748,134,614,784,987,880,813,863,403,618,531,783,319,387,968,961,
464,605,450,273,084,508,263,193,428,664,686,403,892,151,834,699,364,124,879,
661,177,809,824,789,671,136,091,857,043,874,782,436,261,511,359,077,119,292,
458,886,429,297,878,174,571,586,039,220,896,457,929,038,276,130,300,183,026,
223,860,846,773,544,643,088,596,964,385,466,091,815,145,540,185,296,927,798,
483,154,925,682,707,215,579,360,342,194,252,447,643,799,673,020,689,343,089,
319,044,409,113,291,432,771,125,681,023,505,723,954,592,869,646,725,345,995,
511,793,467,605,563,720,238,744,412,801,197,781,398,943,556,729,188,105,863,
263,466,852,984,111,369,085,473,761,406,920,173,471,744,905,996,888,933,508,
074,034,298,422,666,923,816,906,678,207,860,203,975,657,842,960,298,684,248,
016,000,648,930,495,656,945,775,258,637,717,290,838,962,064,661,684,507,472,
008,861,887,630,330,995,681,742,725,056,435,168,767,338,095,271,465,308,693,
424,557,127,567,475,668,702,072,812,938,735,632,992,013,466,934,245,254,596,
010,598,521,628,613,074,578,456,931,092,897,530,321,330,687,941,783,529,957,
609,663,700,135,692,823,376,736,178,857,130,251,678,785,153,304,221,954,606,
234,291,729,533,469,974,586,657,617,361,646,126,552,758,500,213,180,083,013,
027,124,810,184,133,069,922,945,609,296,166,810,094,935,727,575,314,539,665,
358,873,381,577,268,714,435,515,773,793,288,937,560,463,270,233,716,100,904,
119,657,538,854,001,668,036,920,541,013,542,404,214,415,251,051,232,684,453,
099,214,881,421,625,196,615,169,260,026,527,758,511,967,317,777,001,818,182,
426,358,376,854,785,818,796,272,344,813,063,597,931,730,017,170,803,307,627,
697,155,747,244,710,238,956,051,896,964,693,519,964,121,941,705,988,605,435,
625,787,294,302,912,037,683,598,492,944,613,531,322,363,623,486,873,294,466,
395,259,539,429,930,807,371,974,099,671,832,242,671,615,871,108,439,957,916,
286,483,799,076,138,606,209,239,828,433,144,395,659,481,548,980,551,328,478,
955,190,277,336,470,766,622,989,262,664,267,731,585,359,692,738,278,261,154,
867,931,917,535,109,397,630,045,363,773,029,061,875,974,803,892,849,906,498,
164,140,049,734,930,676,556,549,764,398,836,514,378,588,699,507,224,890,794,
909,515,780,564,474,147,319,172,742,702,433,176,000,776,488,357,392,147,551,
410,857,247,294,544,356,742,935,735,667,498,899,850,141,347,585,095,940,630,
917,853,725,946,696,115,097,795,524,687,929,173,825,450,159,097,753,409,792,
762,203,398,635,535,008,347,583,586,980,197,006,024,655,914,232,754,503,673,
240,518,845,204,749,123,009,995,018,972,442,950,063,339,061,073,076,681,515,
428,969,188,923,352,214,464,243,075,038,532,285,064,875,711,364,589,267,019,
073,614,516,999,589,130,031,747,145,067,444,243,681,398,446,229,910,498,297,
765,209,107,582,153,325,621,971,793,069,081,715,886,976,911,758,504,366,519,
393,376,612,280,972,738,590,187,216,881,660,250,168,196,655,979,224,438,374,
760,798,814,173,960,588,007,898,132,638,681,854,437,384,589,195,066,313,777,
031,520,104,802,760,310,914,497,028,126,702,349,077,788,503,906,163,247,358,
232,155,949,371,767,634,018,064,900,620,437,845,348,861,138,317,956,317,973,
783,331,331,008,077,030,953,613,006,053,538,399,413,247,563,910,351,456,260,
274,759,572,813,687,779,080,646,777,555,912,240,633,215,368,954,941,713,759,
516,749,674,196,757,411,011,276,257,138,218,352,361,921,276,643,717,078,886,
020,883,015,694,775,649,151,597,266,710,605,121,738,672,306,532,324,413,246,
741,533,614,747,574,874,699,945,623,231,661,307,524,941,424,913,601,061,740,
977,251,284,121,501,122,956,066,831,471,105,676,248,989,168,482,235,289,542,
571,266,947,902,582,251,050,719,835,622,304,969,209,490,968,038,205,233,639,
121,793,766,018,297,988,077,858,669,051,848,100,040,952,624,658,324,614,017,
844,604,478,956,552,195,474,238,697,311,971,012,938,293,502,349,587,235,707,
471,052,609,212,335,346,096,794,794,964,625,414,204,530,258,448,763,268,223,
193,226,760,814,421,102,578,061,631,712,866,939,285,584,229,798,334,481,657,
887,513,586,948,528,259,053,296,008,026,523,924,856,105,580,448,711,204,347,
072,368,767,743,682,814,102,373,621,408,370,104,251,822,901,347,006,799,002,
411,397,768,423,184,450,511,958,854,258,426,056,749,177,249,618,751,433,061,
254,504,518,447,217,375,021,621,037,953,969,583,006,692,276,263,738,476,794,
504,618,345,068,837,071,791,739,690,768,236,300,183,360,413,964,624,145,734,
913,972,493,412,668,492,514,746,530,609,469,303,889,677,423,397,455,661,966,
636,594,570,757,357,275,062,554,988,312,043,477,175,139,563,204,965,938,069,
880,673,694,483,677,094,027,182,839,580,854,055,205,928,231,924,179,914,402,
453,624,606,729,119,143,476,399,554,703,478,184,796,371,864,105,448,188,821,
947,277,954,272,774,820,894,009,401,044,670,572,067,575,415,931,534,111,620,
476,542,469,222,965,565,515,232,980,305,545,632,767,856,520,397,862,913,722,
675,088,935,090,301,019,260,458,025,072,248,076,769,885,379,293,655,373,614,
380,691,849,166,324,389,354,700,547,482,030,641,832,604,196,821,303,279,382,
320,722,004,714,497,738,414,498,218,490,481,255,971,569,149,994,161,101,292,
096,934,155,300,416,536,366,539,079,365,384,600,105,049,796,478,630,947,006,
923,797,056,107,210,151,631,576,047,551,968,962,659,828,835,061,574,075,838,
373,473,220,413,487,249,443,704,954,002,144,391,540,364,402,845,225,613,503,
213,887,353,026,161,658,686,672,941,070,326,658,034,949,665,117,226,504,230,
703,490,681,926,015,634,888,203,367,238,382,191,506,587,031,046,850,590,956,
532,134,082,354,092,783,481,247,010,861,785,792,493,440,438,036,854,815,745,
262,236,867,030,892,993,380,855,564,669,246,547,609,829,947,994,388,775,355,
600,817,321,528,318,890,220,716,269,262,898,905,010,745,019,358,299,505,055,
552,472,008,867,173,233,711,536,607,923,554,325,404,522,050,385,271,232,662,
281,842,818,303,705,741,024,073,642,062,192,751,975,675,698,230,478,295,804,
677,333,377,339,247,049,033,371,535,473,380,555,913,413,320,730,151,244,012,
144,962,017,915,512,786,633,960,245,810,061,358,429,160,173,201,881,663,251,
002,928,987,203,673,000,517,770,382,732,707,919,498,362,868,830,373,667,708,
667,599,514,247,573,758,089,512,305,752,238,404,810,335,528,176,399,445,921,
322,912,963,794,278,854,329,815,114,504,055,502,002,749,369,020,349,214,386,
499,005,845,553,554,909,091,815,621,171,529,119,129,671,284,696,651,635,337,
649,590,899,873,832,679,899,949,472,146,184,761,914,482,784,727,578,086,429,
928,196,267,920,493,642,377,576,654,854,813,945,277,364,348,222,521,557,618,
206,227,558,554,336,380,952,055,414,489,952,639,691,956,245,983,722,506,787,
607,569,480,458,827,568,729,249,910,343,563,399,492,895,665,150,832,192,849,
147,718,719,942,180,922,366,572,615,636,991,540,938,114,560,137,171,283,691,
933,556,565,514,409,106,969,352,106,871,688,900,099,234,758,638,253,107,617,
619,647,087,590,308,813,467,490,627,968,014,673,927,614,632,023,777,357,369,
454,282,861,003,794,939,340,902,957,608,793,985,207,748,528,517,257,347,414,
651,876,103,165,100,660,156,589,295,411,655,432,595,181,144,894,265,643,727,
531,595,486,252,886,164,001,484,825,000,345,996,662,090,645,597,689,914,863,
184,644,932,815,825,828,154,452,492,702,721,167,626,631,676,256,640,133,779,
033,726,593,422,197,386,106,641,740,610,909,515,967,339,346,259,366,133,811,
689,270,629,020,362,013,543,336,147,593,138,606,144,526,859,699,835,700,963,
935,682,290,108,829,115,361,418,698,011,102,686,945,346,551,913,378,452,551,
672,159,537,502,041,846,697,335,705,948,166,978,008,882,265,408,190,911,103,
312,431,978,794,561,155,721,995,104,571,764,586,908,594,972,793,162,483,958,
724,331,031,625,940,507,599,112,134,121,725,632,519,178,455,657,483,525,498,
589,484,838,073,910,725,151,269,414,494,645,510,415,094,658,629,460,531,723,
013,653,363,400,674,023,421,772,236,422,463,965,706,775,691,754,923,356,133,
767,238,490,094,608,762,330,532,509,389,563,898,075,465,755,344,770,233,554,
243,350,014,376,357,494,984,172,590,475,302,993,612,803,489,374,642,421,371,
200,013,793,590,672,044,858,703,406,824,349,138,589,186,512,317,228,108,092,
736,239,593,151,172,248,539,989,769,964,024,556,300,870,057,094,350,030,848,
373,454,962,137,008,720,734,833,277,233,846,681,326,924,543,967,273,530,496,
336,651,068,372,979,505,131,804,981,978,189,772,878,801,885,416,217,243,970,
418,449,883,709,475,269,707,363,988,787,091,582,635,183,531,305,071,519,450,
818,828,199,158,614,767,839,342,813,538,550,996,375,977,646,917,081,427,630,
128,923,969,924,859,693,873,550,721,886,216,047,586,436,451,289,938,516,425,
008,590,589,979,450,095,455,821,166,171,217,140,903,262,254,689,726,529,055,
406,569,541,265,648,504,399,984,115,536,062,112,706,638,274,199,242,292,859,
366,944,351,268,334,431,036,637,715,263,986,528,452,556,627,362,942,456,192,
379,627,445,676,511,275,422,093,442,386,750,746,403,093,435,115,381,620,894,
675,487,105,362,447,426,859,020,035,470,953,621,375,323,946,629,779,565,408,
763,096,578,061,176,505,168,397,361,570,105,705,206,386,694,503,790,410,654,
319,748,562,297,409,042,346,279,056,109,684,328,662,884,374,399,450,751,477,
446,581,514,769,744,330,589,306,811,710,561,409,315,650,085,753,744,991,692,
117,505,783,412,435,128,020,826,361,721,349,267,379,110,477,158,333,703,306,
973,832,613,413,507,367,676,179,615,897,245,338,302,775,576,122,252,627,791,
985,261,980,637,119,552,879,672,114,270,005,271,192,177,915,823,883,986,859,
078,374,354,743,220,712,266,264,831,755,330,895,447,385,413,406,612,194,748,
759,559,178,352,657,907,527,603,359,250,467,029,526,392,877,193,922,980,495,
548,047,371,196,164,504,624,079,297,687,081,451,004,826,675,080,727,247,233,
580,366,844,273,443,807,813,443,402,066,230,852,138,021,022,392,298,247,817,
317,178,140,832,619,706,414,596,183,796,139,666,591,966,801,173,020,531,136,
502,210,950,651,553,026,646,739,400,946,653,956,579,058,326,530,749,900,666,
494,604,852,939,725,381,354,999,438,899,620,756,170,860,601,538,267,232,544,
832,414,872,240,751,596,935,964,498,594,135,088,781,473,559,699,151,196,663,
692,854,080,811,739,956,222,469,331,987,381,373,058,514,448,568,990,880,964,
261,443,169,275,175,783,601,639,211,337,957,264,012,217,382,021,902,657,552,
934,226,875,132,235,429,616,420,741,275,806,631,508,846,715,576,349,557,600,
342,553,187,790,062,928,580,532,998,199,027,813,205,026,648,783,317,435,091,
471,993,981,717,879,482,285,725,019,332,707,571,806,106,907,129,114,665,517,
763,302,480,895,062,812,803,796,145,453,634,436,779,148,085,134,269,432,946,
905,527,961,049,263,072,694,572,335,570,392,702,323,303,041,856,048,340,283,
620,860,907,505,433,063,319,810,873,784,569,467,000,272,365,787,960,369,315,
716,368,789,928,296,988,871,667,336,785,401,079,030,807,287,463,431,144,680,
407,699,367,652,640,038,196,660,884,490,964,412,100,536,606,458,692,606,678,
788,323,957,429,425,325,595,070,116,159,739,599,940,451,690,041,212,629,907,
605,747,384,881,689,687,327,496,817,387,304,177,688,441,347,113,054,593,467,
619,977,196,897,836,946,189,736,669,138,179,225,684,816,294,101,378,671,139,
260,939,157,358,265,575,838,161,274,490,331,303,467,979,189,624,487,557,541,
039,281,896,501,729,791,145,584,804,989,582,111,053,688,163,886,105,601,558,
615,420,617,114,355,778,802,354,479,743,929,456,302,724,550,026,476,231,030,
925,320,050,456,161,849,406,010,438,050,030,236,560,485,307,891,512,299,275,
316,172,974,383,288,682,190,694,923,598,250,483,386,064,865,548,540,152,819,
491,487,098,377,798,348,418,242,755,902,817,892,139,376,183,107,025,761,443,
368,311,719,274,790,776,091,298,786,750,012,647,120,667,588,147,036,744,701,
930,373,160,982,617,301,585,590,149,576,995,321,091,645,170,213,709,527,389,
629,654,780,294,480,067,848,997,404,902,701,957,691,101,564,356,033,198,102,
176,187,480,813,480,305,166,169,661,380,427,943,413,435,117,105,679,881,969,
750,041,324,357,656,911,611,744,680,682,574,243,494,912,761,304,045,579,407,
839,040,450,564,419,632,670,845,572,447,167,737,211,864,500,096,904,164,816,
161,434,890,481,205,980,205,863,013,907,263,851,058,060,524,286,470,104,912,
894,502,024,254,233,413,157,894,203,454,515,969,382,092,840,525,675,671,297,
777,980,049,989,500,317,410,383,720,161,056,026,611,958,200,983,351,463,875,
985,864,852,640,812,182,313,462,549,664,569,570,033,542,688,794,067,420,538,
134,437,329,032,713,005,652,882,339,579,487,256,016,747,406,014,421,396,944,
286,206,629,035,374,706,860,857,242,540,806,934,726,924,075,039,083,738,446,
140,348,844,048,468,159,614,861,225,898,351,192,190,918,793,605,135,775,050,
555,030,095,477,958,595,374,380,795,429,301,471,018,530,286,467,103,260,611,
267,215,882,381,451,949,652,127,655,875,987,994,866,558,648,517,221,646,537,
973,143,203,767,567,049,496,250,867,285,025,612,555,342,595,564,687,008,668,
372,216,044,032,092,479,001,751,395,089,312,421,860,033,592,125,497,523,135,
396,632,350,852,084,932,576,554,332,070,817,592,417,068,013,565,345,452,641,
443,438,594,265,761,134,520,517,689,568,738,506,005,179,716,749,185,578,548,
567,284,113,763,177,126,067,613,358,167,439,644,470,509,919,785,242,468,094,
134,924,377,834,702,276,693,598,870,021,858,970,814,604,553,159,347,483,939,
112,133,865,440,661,355,643,869,816,119,570,381,129,510,808,510,953,635,260,
929,019,073,923,841,478,044,317,766,608,249,797,765,140,987,441,113,969,102,
766,650,792,891,648,992,288,587,813,352,866,494,436,617,462,508,835,221,865,
029,192,084,235,751,650,939,404,926,868,290,881,663,309,583,379,404,343,731,
553,692,479,782,219,408,803,417,050,264,338,221,990,137,832,293,179,474,668,
169,815,844,169,313,569,577,808,023,657,143,621,070,788,899,036,344,982,425,
909,582,323,651,476,403,248,211,230,133,125,831,895,600,913,204,790,977,140,
161,685,644,434,795,578,249,043,897,126,531,368,391,970,916,174,918,190,234,
851,056,421,135,355,994,157,688,342,590,355,234,107,849,592,142,820,391,421,
767,116,030,599,855,178,339,677,144,056,640,009,111,179,338,285,247,089,246,
325,484,808,405,234,695,162,780,159,869,658,305,716,275,910,730,805,368,789,
586,099,345,272,852,944,365,032,629,006,676,531,238,726,699,209,364,413,883,
049,167,846,792,431,319,220,524,519,885,429,068,455,434,972,896,717,978,283,
827,347,338,100,099,600,026,524,884,235,921,501,746,384,811,535,897,891,695,
001,037,817,880,082,939,065,371,081,333,522,492,396,819,809,178,861,948,566,
956,100,674,222,298,865,392,690,432,815,218,946,164,107,420,635,960,248,344,
575,048,697,308,632,682,407,046,075,360,454,069,663,359,750,824,035,427,523,
230,794,337,957,370,529,441,880,490,435,021,808,791,046,374,892,821,720,610,
587,447,362,737,295,781,854,672,519,202,723,858,263,060,715,921,573,016,033,
260,871,379,869,806,146,755,847,652,620,562,006,974,710,135,336,607,112,702,
144,621,399,208,250,150,796,553,839,187,412,089,231,689,740,523,429,471,984,
507,428,343,818,699,192,941,751,416,107,091,519,364,523,005,420,819,012,132,
864,122,919,976,451,225,313,558,188,003,278,143,040,369,232,052,283,959,248,
452,342,988,894,416,482,120,305,335,778,756,570,317,538,047,012,449,716,667,
746,390,200,272,457,526,482,765,488,860,145,503,256,450,045,466,104,924,710,
994,373,958,280,537,711,279,967,417,780,073,658,166,979,936,756,554,610,273,
870,795,340,283,816,676,946,622,109,396,106,232,758,139,674,110,486,515,701,
872,135,860,596,036,131,075,811,359,957,920,262,940,342,134,706,079,148,411,
076,026,703,776,939,455,906,694,931,775,939,462,252,929,600,360,837,770,206,
004,870,778,641,291,777,471,923,382,434,875,353,956,671,815,289,787,806,132,
035,287,758,618,083,185,120,319,261,337,783,136,151,618,517,662,065,799,095,
871,249,563,501,684,048,752,523,043,209,141,678,892,075,393,991,155,788,118,
198,667,011,799,353,812,427,432,098,541,217,416,878,140,944,045,209,487,070,
272,653,061,623,184,245,993,014,761,169,219,606,976,126,820,391,341,730,248,
699,535,422,765,869,185,517,757,108,804,737,595,675,202,135,530,984,045,892,
454,796,745,471,445,805,463,333,166,433,384,864,321,583,919,237,496,111,783,
353,745,749,662,818,352,316,553,602,412,609,980,786,281,969,412,289,971,932,
022,273,206,514,350,214,310,667,501,797,514,378,931,162,610,902,303,803,139,
355,217,299,027,458,585,623,620,506,686,819,479,978,037,951,430,111,342,559,
908,688,680,292,508,977,622,875,813,987,129,616,878,957,284,081,820,956,521,
899,690,705,373,909,884,831,541,101,553,865,456,951,311,635,789,525,178,484,
016,979,539,241,383,152,829,110,296,830,463,252,091,317,730,132,425,320,535,
666,431,452,133,764,135,364,865,530,236,986,159,685,479,578,406,735,907,027,
805,310,379,309,744,222,003,938,281,708,585,078,761,085,555,029,510,033,859,
248,915,765,989,699,803,202,000,485,905,107,342,591,747,803,816,219,530,800,
076,026,966,081,861,883,960,663,936,789,158,839,891,040,497,822,507,539,743,
214,841,713,983,560,071,382,835,244,152,821,715,986,052,333,871,980,645,649,
205,199,831,249,967,032,195,486,579,362,449,499,994,687,813,030,180,645,766,
649,885,094,750,953,258,666,813,289,824,995,698,142,174,272,116,428,635,973,
125,817,896,682,866,972,975,208,297,523,031,795,572,512,098,730,716,827,477,
429,682,103,436,803,962,371,074,940,393,987,089,359,489,076,288,387,428,424,
881,575,010,945,241,260,816,679,772,493,333,063,156,259,940,623,456,723,317,
816,430,111,151,371,072,459,743,488,215,315,504,409,450,152,424,861,972,696,
087,300,562,069,944,680,860,129,758,271,941,609,980,144,119,649,412,035,476,
034,429,359,593,435,277,442,371,313,040,473,529,557,498,408,498,771,462,053,
504,806,128,098,126,882,669,060,048,355,148,934,581,631,574,894,987,897,014,
048,644,470,770,416,230,190,483,622,470,464,207,325,384,705,686,802,109,963,
158,722,633,014,677,698,797,044,875,473,416,460,714,808,232,740,161,778,916,
506,087,009,910,608,269,181,356,066,967,194,730,297,507,038,367,224,293,527,
355,999,467,692,377,219,567,535,442,742,684,317,671,795,087,251,618,867,804,
390,479,191,053,583,548,877,651,981,679,989,065,642,189,853,910,156,512,930,
209,139,321,235,770,811,969,044,823,683,181,416,632,292,266,048,290,378,352,
970,116,745,237,601,528,575,903,037,086,246,229,651,231,752,072,143,319,491,
506,780,448,191,346,511,045,516,113,822,651,493,078,144,741,975,181,746,755,
905,927,201,794,716,990,646,951,499,023,635,384,872,971,839,264,957,519,190,
297,841,666,435,573,971,989,795,308,460,229,382,351,740,282,129,151,908,720,
199,160,292,079,027,724,803,262,948,351,418,501,461,330,170,463,352,631,077,
409,562,805,946,342,878,766,946,649,287,007,073,803,350,807,471,768,428,820,
975,245,402,330,602,862,933,024,493,023,528,075,840,645,363,974,227,629,301,
692,935,511,514,762,791,591,876,054,553,196,846,063,060,640,405,128,872,030,
208,853,585,453,422,450,633,734,427,896,849,229,474,696,496,033,582,939,306,
298,623,414,601,263,574,058,614,186,808,598,341,266,879,683,241,986,900,258,
152,501,010,914,634,483,914,687,966,051,206,972,484,818,043,830,746,034,570,
279,071,514,118,650,547,114,717,555,135,817,191,417,784,780,555,204,010,518,
887,638,489,066,993,085,732,339,686,707,997,860,090,428,601,491,732,446,569,
409,580,700,831,635,632,638,704,164,913,078,922,762,857,015,907,924,601,990,
943,014,527,236,502,949,734,707,196,549,018,122,129,705,892,585,984,266,373,
414,568,448,148,099,086,538,430,754,928,216,011,902,512,335,991,393,889,815,
457,239,779,849,759,326,417,474,692,061,046,255,226,766,775,194,269,577,632,
118,370,980,579,652,215,000,649,155,236,341,528,724,510,235,199,576,221,546,
693,551,858,298,654,280,285,133,615,673,250,959,622,592,272,844,982,834,742,
877,468,379,147,698,408,776,625,013,596,225,232,350,461,530,661,585,557,287,
476,273,865,634,259,811,182,000,004,247,342,501,057,617,336,202,322,720,360,
183,293,366,402,607,112,132,078,026,955,095,981,832,982,508,144,711,416,111,
816,644,148,968,992,226,793,121,138,294,929,492,679,589,753,167,686,397,714,
498,181,450,342,407,201,356,953,092,843,016,361,289,217,800,150,759,294,429,
104,974,179,055,003,096,005,644,990,160,297,333,161,651,552,470,555,294,966,
089,872,079,059,046,372,627,794,791,814,075,924,167,466,993,312,006,461,079,
440,351,373,638,477,571,233,750,639,547,224,776,187,854,330,093,619,159,432,
964,336,404,479,334,842,530,909,625,462,409,487,401,822,934,099,432,198,355,
531,314,441,775,386,257,882,982,403,804,457,182,227,631,779,159,832,340,482,
220,459,568,211,620,804,224,595,059,006,094,616,800,667,972,928,622,265,198,
872,674,517,398,267,124,869,121,800,493,088,952,127,020,707,981,201,871,442,
948,969,808,372,167,961,124,505,555,704,967,706,376,895,591,213,794,178,618,
917,754,660,946,685,454,967,980,826,943,849,417,401,970,973,387,503,771,601,
760,946,371,402,620,346,032,127,533,000,042,507,401,390,384,438,152,575,953,
471,186,583,202,349,262,198,066,589,568,711,848,527,443,089,067,876,539,014,
053,710,381,874,172,784,001,237,085,804,639,665,554,977,147,669,415,224,224,
007,652,642,339,729,744,157,843,997,734,573,854,704,893,554,910,116,642,554,
008,727,590,945,392,739,658,260,491,741,980,518,958,604,791,852,164,255,965,
891,196,339,946,801,012,610,575,138,542,368,835,955,831,204,581,445,948,377,
992,245,063,635,605,768,695,109,954,722,733,537,091,563,660,013,375,096,079,
665,194,083,055,666,165,044,399,290,798,236,976,283,959,605,291,667,808,961,
739,695,428,639,865,517,122,085,676,410,815,315,417,339,431,444,401,736,847,
201,137,085,926,292,455,143,583,225,197,008,072,850,393,835,384,487,892,373,
106,270,649,197,221,512,550,463,174,596,328,068,765,572,394,069,090,547,251,
086,758,471,725,172,625,515,328,875,127,735,968,661,767,601,135,214,762,553,
322,545,810,242,371,187,910,119,390,052,567,865,732,595,039,035,134,697,115,
384,542,285,875,566,368,421,502,193,478,904,368,772,729,358,104,638,579,298,
793,098,580,008,591,936,833,950,603,538,808,482,881,617,683,114,926,983,110,
584,935,132,255,933,924,214,351,488,173,729,327,387,573,349,322,973,088,410,
160,228,410,653,998,292,544,358,922,709,571,298,008,341,400,057,483,617,897,
311,227,230,198,128,465,439,747,568,018,761,820,733,488,087,135,685,836,373,
513,107,957,188,737,797,004,161,948,146,133,267,773,637,361,675,347,698,056,
060,479,934,367,033,019,017,386,978,790,635,618,786,847,872,349,070,020,928,
892,672,867,554,117,302,432,575,381,390,730,172,410,856,202,579,777,068,902,
783,478,466,418,814,912,423,854,854,063,280,464,433,294,836,775,727,671,468,
708,756,542,051,197,958,226,930,327,811,383,655,839,008,165,970,103,111,034,
557,752,818,424,835,464,134,241,797,163,897,232,308,005,026,479,799,631,109,
749,245,365,860,341,709,073,443,956,058,518,894,005,709,116,741,950,354,391,
638,463,841,817,768,985,392,065,390,146,481,758,138,874,536,702,295,149,796,
470,020,248,990,895,675,774,658,988,749,493,607,110,115,861,384,517,095,003,
421,875,445,126,008,244,982,911,582,572,620,207,189,950,953,062,936,797,328,
739,577,785,146,953,940,322,228,235,408,942,614,180,767,022,090,611,869,012,
507,394,210,272,040,180,221,469,111,218,539,688,488,172,382,877,662,643,861,
259,780,382,080,443,093,830,189,079,871,896,277,930,735,176,846,410,915,088,
779,709,489,448,854,696,482,177,611,429,158,535,278,372,607,167,857,653,421,
973,303,303,721,334,636,457,004,708,714,970,527,166,884,355,401,944,254,605,
805,389,931,113,666,165,218,692,543,334,026,022,975,466,968,555,676,852,559,
142,719,544,453,932,635,272,321,544,696,158,021,138,113,723,353,794,593,534,
507,923,887,910,967,218,889,245,471,733,603,223,482,217,362,189,027,820,786,
837,556,099,901,326,643,260,827,440,132,592,159,851,557,894,116,235,320,871,
105,968,547,752,275,813,334,275,526,610,119,068,941,258,691,341,399,090,213,
814,956,699,657,040,490,880,339,399,582,189,095,560,165,722,662,969,331,779,
697,327,734,569,730,067,533,757,791,481,364,093,236,737,991,935,049,885,930,
580,335,336,343,162,570,680,724,748,784,744,526,829,400,344,978,040,333,044,
551,870,457,213,515,701,383,700,357,939,864,772,590,330,024,473,542,121,209,
532,238,779,702,946,829,108,248,042,274,031,162,704,134,867,694,676,781,264,
562,381,026,982,849,952,249,523,266,908,568,847,422,857,769,483,257,336,453,
386,875,062,183,433,066,605,256,642,852,556,399,352,280,710,028,978,244,460,
633,627,842,377,364,059,788,960,871,012,516,077,908,482,263,572,716,449,919,
286,071,811,460,137,203,117,038,577,045,675,442,085,418,873,347,323,447,602,
224,025,912,072,193,599,831,839,967,247,464,592,416,094,723,739,670,068,525,
675,877,009,785,840,906,049,199,616,180,926,403,880,201,752,070,985,484,384,
711,866,293,394,133,538,903,578,479,728,617,089,540,610,775,833,815,354,795,
909,091,986,310,059,411,688,107,516,876,911,004,508,978,467,280,910,742,606,
713,345,451,517,558,997,210,146,039,095,508,329,248,261,116,204,207,963,350,
402,294,550,755,260,203,067,572,287,267,090,110,286,675,673,954,878,914,646,
856,573,121,158,810,714,929,307,258,884,423,817,635,751,648,184,195,512,884,
012,253,050,218,568,180,464,990,128,528,233,045,541,914,245,852,702,151,827,
574,247,456,086,838,442,148,452,019,951,724,110,320,360,669,750,026,615,140,
504,075,351,498,434,981,368,703,958,537,816,903,930,725,874,968,247,862,550,
075,833,024,817,441,124,631,320,927,725,863,244,704,526,972,104,925,345,119,
332,676,814,154,204,155,188,959,481,783,777,135,891,007,487,778,341,616,287,
573,187,356,492,663,134,045,995,674,505,920,549,661,819,332,742,975,989,288,
035,330,208,940,604,312,862,247,418,983,932,425,548,218,848,856,815,026,616,
795,160,090,576,389,298,479,653,418,074,282,352,802,944,447,886,766,681,723,
057,937,670,673,444,127,924,031,652,835,731,169,301,065,055,541,176,107,602,
959,286,306,932,324,289,780,340,927,579,907,419,925,020,186,204,573,835,875,
986,072,750,488,086,617,130,237,736,218,869,725,259,938,218,637,256,795,073,
571,571,940,834,158,570,285,314,495,121,991,984,674,683,183,928,481,045,182,
616,778,905,591,059,296,130,022,291,224,052,998,379,376,021,527,010,784,804,
389,725,990,227,152,768,447,203,031,228,422,708,281,576,233,312,956,524,533,
126,534,675,211,692,768,644,875,722,011,167,724,591,606,147,726,590,656,795,
285,704,130,139,418,553,395,075,052,339,374,998,118,644,081,330,737,300,109,
817,506,910,146,734,209,203,023,593,610,801,781,638,260,099,935,656,172,167,
087,299,964,299,675,826,546,291,627,210,058,993,437,136,988,717,661,872,933,
814,760,609,673,748,137,036,168,830,574,183,040,268,116,182,491,902,702,000,
716,334,554,924,011,798,503,029,719,056,204,792,460,422,262,772,859,665,988,
683,873,340,356,158,991,950,842,178,891,182,275,427,250,321,942,047,844,755,
366,917,110,041,905,192,163,277,152,469,023,901,328,991,382,552,986,365,925,
361,136,077,743,258,020,697,744,718,142,349,889,086,156,263,538,853,441,981,
829,066,577,880,394,110,379,603,362,852,999,403,766,114,838,955,211,868,576,
705,061,785,574,008,065,536,975,657,495,938,406,012,912,368,320,595,284,819,
316,327,131,580,924,421,925,042,691,852,087,351,200,475,444,301,215,141,103,
575,035,700,225,733,789,759,713,679,041,372,924,383,344,814,990,747,038,823,
043,388,285,813,742,391,195,637,842,811,654,769,464,014,461,841,944,891,421,
359,074,055,425,723,702,054,448,280,777,778,596,880,598,570,008,450,536,424,
726,962,787,381,301,937,150,480,075,975,525,225,340,293,356,639,343,558,696,
705,769,395,517,813,678,411,616,188,977,099,241,033,382,282,144,249,328,655,
956,058,352,168,273,881,714,480,468,165,497,241,042,084,301,441,802,465,679,
638,501,875,808,000,500,277,705,012,766,190,238,279,695,586,659,512,803,532,
441,598,102,230,281,547,273,423,766,900,628,971,770,975,534,644,783,479,224,
169,425,099,865,884,945,340,139,152,021,852,889,064,604,044,629,649,111,304,
157,835,511,662,257,555,939,070,732,278,396,783,512,011,528,393,883,354,388,
361,035,095,365,945,640,940,390,039,204,639,483,588,153,815,869,167,284,358,
211,165,384,792,171,195,201,863,890,136,849,958,616,930,070,421,354,262,590,
686,157,759,328,136,714,216,912,572,365,949,357,091,043,927,587,434,210,621,
227,841,210,503,812,496,768,786,224,053,033,209,026,784,231,910,868,918,607,
670,363,863,969,127,612,007,848,122,376,932,774,938,229,160,100,990,016,789,
412,925,491,612,371,915,576,213,893,002,632,756,609,569,842,134,094,230,607,
980,392,907,010,278,575,423,303,980,576,883,710,013,698,054,303,949,420,426,
752,869,672,609,603,431,601,637,071,860,229,845,594,852,827,139,536,034,954,
437,358,579,568,781,095,796,800,243,798,824,274,632,895,668,543,629,077,734,
663,109,860,676,903,913,475,224,396,419,565,936,735,044,849,170,484,561,868,
766,056,521,469,667,823,937,582,576,511,292,308,723,237,283,552,249,625,535,
760,949,362,828,764,988,256,720,517,043,972,179,034,025,318,531,123,825,201,
721,552,642,342,897,909,668,428,862,701,149,974,769,035,002,514,756,467,109,
266,881,389,833,256,870,216,858,397,767,792,720,042,163,939,991,036,965,125,
179,056,043,462,995,714,029,263,324,780,107,152,865,603,360,817,968,369,031,
267,459,651,286,990,051,029,075,836,113,469,216,000,919,144,714,954,145,093,
115,190,241,047,193,589,374,573,466,224,768,309,437,022,564,803,008,297,519,
612,484,716,391,529,389,527,134,396,378,773,767,107,264,411,258,703,977,972,
349,212,403,282,306,349,916,182,470,298,254,843,122,090,097,629,636,587,846,
374,696,417,871,589,624,837,271,110,716,011,609,496,966,492,117,870,157,540,
803,717,921,728,440,151,223,551,549,409,495,381,985,104,933,427,600,468,923,
173,935,355,082,471,809,479,609,719,867,787,632,443,183,718,788,493,546,593,
742,531,345,807,481,913,298,506,157,593,314,230,967,347,531,007,062,707,094,
345,401,178,508,227,412,354,311,413,257,400,052,181,659,552,338,296,253,915,
109,381,135,049,331,122,133,626,565,428,417,802,847,827,034,386,071,769,365,
260,145,562,043,708,330,595,514,179,176,604,069,396,418,961,181,991,298,670,
641,310,188,536,623,834,976,281,379,609,037,829,939,385,505,742,331,969,420,
648,061,651,373,376,634,855,999,494,246,372,576,046,344,305,760,530,505,017,
257,568,936,182,982,974,509,500,840,558,383,185,813,220,454,198,440,428,886,
263,131,164,827,722,960,870,646,506,390,533,186,338,081,815,670,821,886,862,
490,863,628,918,121,973,079,099,114,146,772,195,715,082,035,339,957,602,668,
290,023,319,596,442,437,463,706,674,595,045,547,573,474,631,374,835,488,248,
754,016,792,415,621,873,297,212,536,504,139,293,748,091,656,466,754,366,699,
587,074,379,650,745,824,213,270,179,264,430,892,379,920,209,362,589,070,162,
259,862,218,260,812,209,873,053,199,010,120,424,352,655,046,091,055,140,986,
236,294,447,765,396,785,318,527,427,308,258,530,745,004,355,529,692,867,258,
864,929,907,097,529,663,090,501,298,104,326,250,332,359,562,906,529,236,509,
177,373,786,700,324,935,481,743,487,133,041,877,042,025,242,877,776,773,778,
176,858,241,194,436,413,629,075,742,418,279,053,165,473,379,499,135,689,126,
953,602,383,940,665,677,440,876,771,283,313,774,282,330,469,906,900,780,859,
360,613,571,250,284,360,819,429,748,445,199,279,644,785,103,183,434,792,032,
245,294,269,616,900,507,381,053,073,816,992,498,784,877,827,632,428,516,411,
386,925,294,594,091,284,566,530,018,665,660,079,362,096,084,680,121,905,324,
676,339,904,212,351,964,363,365,038,414,820,294,043,900,654,822,984,830,597,
127,291,970,438,907,253,670,836,744,903,581,689,562,175,563,458,676,975,888,
893,954,006,049,444,245,211,558,565,883,581,178,722,505,331,660,914,391,895,
700,997,927,531,110,611,958,240,566,328,997,954,188,163,542,219,420,534,232,
266,236,400,729,524,973,657,921,511,819,283,736,474,250,357,816,042,900,010,
001,159,592,561,610,922,425,106,273,179,684,332,791,617,470,580,539,050,719,
078,999,613,485,160,999,974,156,152,152,954,696,954,445,915,483,383,791,708,
634,879,570,121,443,683,387,931,089,985,334,959,833,011,599,131,276,442,696,
313,383,257,076,057,371,217,682,725,193,445,170,327,468,412,683,242,959,968,
721,783,103,891,925,535,684,027,927,136,236,147,645,668,989,830,757,989,823,
503,327,324,861,917,961,283,988,317,930,400,558,513,385,262,461,020,972,036,
209,589,964,352,937,205,114,950,886,268,859,293,940,362,443,932,440,971,988,
713,904,899,743,387,987,254,675,983,137,312,845,645,419,164,902,411,018,871,
822,224,385,649,765,839,044,716,624,856,995,545,871,362,365,340,451,918,682,
467,845,864,078,631,316,050,352,853,840,767,874,432,141,211,710,652,869,476,
829,986,478,479,051,084,912,464,206,610,223,353,015,625,125,790,330,306,699,
559,930,093,472,433,920,136,801,361,214,614,373,718,838,469,781,984,399,562,
874,813,624,305,739,279,508,987,605,665,087,793,858,140,403,447,539,322,308,
283,933,214,726,650,644,183,254,424,026,487,435,513,075,879,927,202,874,458,
140,369,323,006,596,486,952,609,613,889,253,847,627,677,460,278,740,922,590,
623,697,778,262,424,456,718,071,876,886,147,975,169,879,908,410,491,737,743,
352,746,606,991,857,086,851,226,189,326,691,587,164,258,910,922,672,038,981,
753,863,216,579,466,775,872,173,691,818,353,712,113,651,105,712,405,014,069,
612,952,948,705,128,105,446,352,084,960,787,785,497,047,563,472,050,294,715,
061,575,272,338,254,627,727,481,301,779,907,903,074,737,603,464,732,417,480,
619,059,462,129,884,003,030,857,182,372,741,518,966,941,429,422,782,061,692,
118,199,784,189,207,947,668,870,114,270,376,529,983,873,930,418,036,460,284,
909,184,286,465,439,806,773,077,506,106,582,504,607,036,903,938,946,920,459,
103,793,809,225,593,469,585,845,685,129,479,117,388,337,500,550,066,433,422,
989,466,403,191,072,379,012,739,821,888,871,658,506,491,622,000,261,043,299,
415,546,388,156,071,694,124,140,118,284,981,240,370,609,676,503,693,464,395,
842,720,151,009,743,224,694,210,385,530,726,098,851,835,507,419,994,736,720,
024,568,659,921,070,222,501,210,533,814,896,991,466,230,885,009,407,867,514,
608,752,546,449,946,635,326,687,288,177,274,368,051,756,641,197,593,535,665,
228,427,185,114,318,918,340,529,370,051,770,094,569,026,623,104,351,345,859,
626,679,836,369,159,502,806,342,286,034,599,461,722,623,219,028,958,379,908,
205,558,856,393,986,718,119,207,002,813,673,765,433,104,852,756,413,832,319,
555,132,913,658,419,121,425,897,755,892,657,364,734,719,338,082,140,367,598,
402,841,567,718,399,859,643,691,758,727,235,358,411,596,124,152,387,536,251,
637,646,273,620,810,773,263,804,360,789,639,519,087,297,541,102,693,970,251,
406,913,113,332,748,657,081,522,536,464,612,032,405,146,159,595,939,546,445,
246,474,538,903,640,036,218,674,813,910,916,485,061,942,791,953,274,920,163,
207,016,177,303,557,938,031,891,627,989,730,978,812,495,528,915,938,190,109,
911,882,682,990,195,122,471,932,118,244,713,856,708,058,687,203,236,308,610,
933,079,499,696,392,037,218,005,419,628,169,909,054,976,439,815,923,402,928,
236,812,727,558,343,075,233,588,285,961,257,860,008,542,446,086,801,427,805,
627,215,410,544,558,934,359,246,050,833,737,287,592,799,467,960,304,987,573,
014,402,144,769,319,215,677,478,015,420,264,032,079,947,177,372,625,977,741,
397,927,614,104,681,000,242,126,156,126,425,341,434,411,676,181,644,194,772,
706,708,095,508,896,961,518,761,218,751,870,073,619,671,913,612,338,762,074,
673,810,253,978,542,276,606,109,448,835,233,443,380,748,395,398,951,037,081,
371,255,324,559,187,584,109,673,892,340,807,168,349,505,626,891,250,857,241,
517,303,394,715,279,513,614,001,229,925,717,701,948,858,102,753,015,755,448,
365,218,079,628,623,308,313,275,699,132,379,150,359,234,083,881,466,677,387,
704,956,876,241,469,704,462,002,392,866,603,699,412,745,302,632,649,222,361,
814,864,502,091,242,670,541,342,653,010,492,821,245,830,181,749,156,280,758,
780,788,571,510,184,859,191,284,781,912,221,290,769,706,802,094,498,435,914,
738,912,219,127,398,343,586,334,102,860,117,373,750,968,941,448,003,554,118,
270,712,583,714,833,968,520,034,047,598,038,121,569,555,541,181,400,961,212,
022,361,331,528,537,906,507,163,757,508,096,488,630,156,863,162,706,570,698,
675,907,895,469,802,003,077,717,107,355,395,371,710,325,072,134,908,777,951,
601,355,862,226,206,984,480,254,951,228,897,835,613,687,655,753,662,485,123,
408,251,287,320,803,975,743,724,726,913,942,619,387,886,786,202,675,194,600,
809,050,773,356,167,792,848,193,468,967,677,590,529,425,290,606,930,419,089,
044,645,518,372,749,180,554,305,133,897,670,868,852,629,350,277,417,475,398,
194,832,560,441,636,219,829,236,987,818,434,727,164,005,375,635,122,198,187,
914,372,520,115,409,300,885,946,304,917,230,815,621,874,005,902,429,953,981,
684,496,277,431,274,594,636,559,754,454,178,710,710,839,448,297,884,807,716,
590,327,247,378,683,283,484,977,810,376,845,811,728,274,941,829,104,457,524,
924,727,365,583,473,104,951,812,145,662,290,025,094,493,073,257,796,213,443,
742,890,885,742,204,940,827,281,920,257,893,454,500,639,673,911,218,879,463,
783,432,644,831,595,079,967,122,065,453,337,627,072,392,609,104,518,280,128,
360,291,825,860,964,105,789,268,179,864,611,074,979,165,455,052,155,466,128,
335,223,801,682,692,322,416,404,403,051,087,181,711,840,721,320,815,689,406,
256,890,217,403,208,566,763,228,362,311,413,188,814,247,821,667,693,587,110,
665,419,186,619,928,638,192,603,749,990,397,369,932,246,220,466,342,994,978,
537,892,792,852,182,030,945,202,954,385,076,637,593,796,282,176,642,648,639,
272,407,348,892,092,712,840,877,935,702,706,334,597,975,212,638,132,734,895,
543,989,304,667,928,710,680,452,804,194,740,912,879,643,122,904,968,110,139,
383,430,845,381,342,809,702,662,175,584,711,286,968,207,056,550,427,617,612,
705,999,811,610,900,055,943,756,861,837,404,061,606,568,096,458,235,478,582,
356,079,170,052,518,579,874,914,401,930,019,819,897,795,448,380,916,728,267,
490,638,430,746,172,796,263,251,307,482,265,998,110,682,620,951,883,826,993,
097,978,797,226,379,129,713,771,929,114,354,350,266,855,921,003,074,995,463,
729,971,466,148,731,340,002,382,918,175,045,992,070,454,322,777,616,824,847,
120,265,940,287,873,913,485,139,346,261,770,549,833,472,073,491,143,052,645,
448,247,532,717,544,503,532,412,374,771,118,309,194,895,069,404,634,844,673,
709,877,690,214,872,202,093,633,716,010,452,880,147,242,308,748,621,593,863,
040,336,129,993,756,758,423,818,566,753,469,118,183,478,777,794,954,145,238,
388,010,987,130,110,043,134,045,606,135,158,781,382,920,369,760,994,397,000,
704,773,702,893,073,590,898,836,346,020,623,753,242,527,572,720,119,158,070,
888,069,259,420,864,318,836,077,975,715,461,943,392,596,943,366,555,723,612,
530,773,224,336,957,149,739,502,616,320,777,120,055,917,222,000,641,513,184,
366,391,007,848,270,481,814,057,699,852,444,709,478,214,150,431,611,490,578,
392,379,562,432,077,287,683,357,958,902,740,801,867,677,106,731,779,080,492,
756,221,758,373,323,144,428,344,168,481,785,865,279,094,701,875,246,392,815,
567,044,307,025,033,492,868,060,050,761,604,748,578,705,044,461,350,208,352,
475,820,824,121,251,075,103,146,994,248,080,723,098,129,019,137,768,166,957,
042,590,923,020,771,518,077,088,039,150,541,412,411,448,858,452,821,072,096,
743,360,266,812,153,725,786,419,233,463,754,977,537,724,607,771,095,272,093,
914,930,153,095,170,551,918,408,550,869,806,773,378,344,829,483,437,333,624,
506,302,651,052,778,735,682,803,324,687,672,727,076,369,500,056,558,530,780,
207,064,108,465,250,549,231,878,845,590,942,695,189,442,283,426,261,550,159,
462,907,453,372,483,341,260,164,198,609,478,280,648,604,963,778,346,120,478,
997,974,343,025,432,046,349,770,591,191,289,801,318,015,901,530,661,994,235,
438,305,260,090,547,327,818,720,033,461,082,275,270,511,464,218,996,583,718,
146,577,503,557,955,583,489,989,137,515,198,978,303,838,487,025,712,491,267,
430,993,090,948,315,095,385,483,854,377,121,961,854,743,890,627,688,442,197,
862,588,804,580,795,323,778,868,606,573,101,288,502,947,567,930,243,057,357,
588,873,878,199,065,383,028,772,185,992,748,699,435,207,409,441,383,182,946,
200,050,864,275,438,857,091,172,830,298,947,230,840,257,882,093,714,309,696,
966,572,189,785,305,814,837,113,472,709,971,183,629,924,179,088,283,551,360,
251,527,658,206,596,688,606,502,609,097,349,846,311,209,493,002,729,600,055,
339,924,995,625,738,212,833,669,543,490,486,577,648,354,071,225,277,383,671,
121,386,610,683,858,742,893,968,968,873,222,996,937,440,483,355,047,612,511,
121,851,280,651,464,918,818,583,780,744,127,795,229,544,892,115,569,633,161,
218,926,862,548,686,420,851,530,195,415,311,116,576,311,302,041,213,355,128,
086,853,671,435,458,517,102,601,287,360,402,053,157,632,290,463,986,632,303,
574,439,973,880,184,023,035,098,281,674,756,648,578,087,644,890,768,384,197,
705,059,704,807,153,761,856,462,460,748,930,724,223,010,616,597,219,317,481,
997,334,063,344,234,282,372,898,442,289,775,003,222,066,443,808,607,291,555,
988,160,639,587,202,869,399,972,868,709,913,764,178,575,784,863,224,948,826,
486,976,144,692,304,106,964,088,807,596,077,312,917,612,192,465,031,174,908,
697,650,939,585,188,820,562,267,583,682,307,837,735,101,521,107,309,177,879,
712,305,461,876,662,921,060,665,848,812,264,382,765,173,376,835,751,731,462,
076,148,832,445,367,457,780,757,860,937,599,786,239,999,084,921,013,466,166,
213,901,070,480,602,799,215,061,105,276,006,827,073,241,314,711,990,747,047,
397,704,363,166,636,948,067,513,317,557,398,970,083,371,465,237,768,598,870,
218,667,067,606,397,354,556,036,055,176,386,660,743,204,096,543,994,905,287,
500,075,990,532,344,860,256,442,648,905,952,175,219,803,975,333,021,488,820,
505,416,716,942,552,837,762,501,467,215,055,942,058,500,948,239,876,481,545,
459,984,161,038,704,931,452,247,948,490,203,445,378,462,557,740,550,804,366,
909,833,857,216,999,626,336,901,506,446,552,569,950,750,444,304,985,535,766,
158,253,077,684,638,225,775,170,439,009,176,218,183,221,655,833,973,644,405,
000,838,553,523,962,444,770,336,876,597,863,558,014,263,374,194,037,776,459,
931,079,478,635,290,160,757,481,913,323,421,631,785,313,472,251,732,893,770,
375,914,845,535,944,574,246,392,557,574,833,274,311,775,938,083,580,663,807,
778,603,718,517,958,262,261,471,096,082,597,855,077,471,210,679,801,061,228,
350,774,580,630,565,872,069,056,394,336,943,118,226,650,897,376,231,581,320,
251,120,919,636,629,651,560,102,506,208,118,465,550,759,663,065,810,159,409,
628,844,340,722,323,649,007,793,940,252,538,524,843,493,761,419,396,606,422,
536,734,232,723,411,640,512,345,920,989,407,590,296,797,370,162,576,151,244,
241,607,814,540,224,319,338,406,593,437,984,879,892,115,810,429,175,059,087,
223,909,079,648,813,147,875,360,214,500,367,476,954,395,618,660,238,444,608,
277,167,626,443,506,354,518,041,780,859,255,298,386,916,714,602,329,513,586,
507,805,674,115,412,256,071,365,726,588,533,312,355,035,717,202,766,607,403,
655,616,374,962,968,073,664,509,229,941,071,499,365,889,627,868,991,975,739,
513,375,856,195,498,373,609,898,508,639,210,549,932,764,975,421,143,495,219,
927,740,377,904,198,706,718,486,635,596,443,786,610,337,601,431,067,653,707,
207,776,648,863,797,988,383,927,263,630,640,265,196,223,756,560,098,625,387,
860,494,272,355,906,119,650,656,688,412,197,882,353,172,770,591,203,330,857,
611,907,092,769,086,758,906,011,035,766,987,613,214,974,813,862,632,374,030,
946,186,433,677,087,909,283,099,878,830,428,429,965,832,828,481,577,111,364,
850,303,683,914,480,700,501,992,170,216,361,216,674,107,935,420,156,894,975,
302,234,814,628,893,930,344,494,594,415,913,170,115,644,941,001,479,283,970,
700,846,163,143,941,101,277,910,917,296,996,114,166,631,063,723,635,531,818,
381,601,987,421,375,792,223,839,501,220,481,418,322,792,102,262,323,053,320,
020,038,410,039,844,038,749,114,105,818,472,044,746,435,418,523,044,628,153,
435,465,723,081,846,956,781,062,055,791,777,481,934,731,540,204,141,922,650,
074,060,453,126,309,810,672,907,519,352,389,455,606,059,620,279,566,984,338,
509,026,955,276,778,090,836,357,044,189,125,058,763,019,833,834,311,237,243,
932,572,244,609,863,892,783,707,509,636,050,627,028,792,263,496,006,143,300,
777,376,363,207,528,228,596,409,868,474,168,824,784,063,974,304,771,683,115,
906,957,337,510,179,013,068,010,399,887,304,995,184,346,486,195,550,070,544,
904,409,528,783,527,290,330,924,004,257,619,758,636,842,954,681,583,757,004,
323,336,049,057,314,436,437,232,796,174,759,423,266,957,040,953,968,774,478,
043,031,968,875,896,508,048,615,565,602,338,059,924,695,476,228,464,698,677,
887,508,780,471,234,894,981,383,180,155,794,874,318,991,347,666,127,140,671,
193,486,781,721,955,407,182,595,599,809,818,097,188,273,166,071,861,203,536,
196,343,004,667,531,661,543,503,343,267,129,789,332,288,867,416,387,764,187,
370,598,961,881,571,735,795,025,950,370,366,930,805,356,083,861,847,661,127,
121,556,514,231,111,098,485,104,827,806,621,353,344,172,534,770,995,783,281,
829,644,135,376,432,673,587,253,467,238,821,602,085,335,301,617,131,948,837,
176,271,412,974,652,420,598,894,327,270,244,345,736,561,390,798,297,223,959,
058,112,560,728,460,275,620,148,415,320,795,305,646,907,381,344,051,603,894,
009,291,464,093,717,148,210,087,259,632,385,907,311,124,595,611,420,420,021,
349,964,088,136,720,421,267,530,789,420,464,577,894,586,215,212,854,476,070,
413,200,396,443,799,478,055,825,336,666,964,036,541,249,808,684,517,052,978,
132,442,078,351,410,535,862,841,941,737,524,649,403,109,882,300,334,942,804,
722,210,624,711,285,571,776,093,707,271,370,081,124,457,673,693,171,811,506,
589,262,262,432,485,519,131,317,539,909,822,363,829,764,619,761,490,892,691,
720,871,569,975,747,217,780,041,345,967,258,633,555,845,024,513,999,962,632,
942,668,371,190,671,900,034,869,936,011,065,136,945,407,488,311,913,715,592,
631,671,197,352,627,686,630,686,148,634,193,910,496,778,818,562,890,155,180,
265,164,017,320,611,161,344,824,801,691,842,078,189,050,501,320,071,668,170,
253,137,627,635,074,701,019,227,849,356,052,533,587,976,009,261,076,658,970,
008,058,959,789,681,524,617,948,605,460,018,193,594,183,426,895,458,291,688,
934,645,326,696,995,309,785,536,513,296,830,918,996,134,325,715,360,269,131,
308,812,673,072,364,391,136,370,450,617,621,603,598,948,206,426,120,638,684,
372,581,613,598,810,177,173,059,980,494,785,884,739,834,238,601,266,922,720,
462,662,595,077,005,971,723,595,421,414,832,344,525,456,819,275,219,058,128,
977,452,714,114,705,291,134,368,835,819,663,944,520,698,228,976,946,211,934,
389,757,871,790,162,342,626,723,276,176,540,015,591,128,707,758,504,537,634,
247,691,465,648,178,975,240,925,001,136,301,482,058,581,084,536,329,905,436,
230,895,646,902,292,205,539,909,865,254,903,587,380,032,339,129,332,083,475,
166,929,957,821,778,949,434,146,864,488,389,667,239,586,365,279,898,139,300,
316,249,941,616,480,645,724,341,761,879,269,713,936,095,855,377,660,594,076,
315,030,714,346,337,179,709,744,205,515,997,054,256,265,497,710,973,379,485,
267,288,489,744,035,906,571,446,081,615,331,249,518,373,039,901,659,318,430,
981,334,819,212,547,984,259,523,281,574,805,401,922,179,955,439,438,372,540,
170,316,544,043,188,001,735,142,893,761,883,286,447,776,353,925,985,162,327,
979,963,175,002,900,045,961,437,795,558,706,390,296,970,336,947,071,610,243,
759,844,602,971,298,297,074,245,583,773,985,292,562,770,878,414,084,854,423,
260,879,827,103,096,524,886,649,727,909,447,717,825,387,482,595,872,138,127,
349,569,149,262,804,519,150,738,679,422,344,152,954,082,849,104,060,183,214,
436,641,885,321,037,506,469,674,494,238,357,544,823,120,295,566,193,985,232,
184,458,851,496,822,829,502,447,412,046,115,273,902,950,693,805,451,710,709,
571,514,481,015,444,493,420,713,885,357,821,179,612,657,888,255,200,858,830,
300,715,963,213,544,120,499,378,499,362,543,775,974,403,214,260,258,748,698,
586,265,860,684,324,668,486,301,590,681,548,534,571,830,273,486,736,247,929,
554,655,753,467,916,468,439,832,405,673,850,925,604,881,336,108,247,335,613,
866,597,167,131,957,186,032,693,732,443,714,958,518,371,828,809,243,158,512,
205,755,397,555,220,990,514,996,683,777,769,907,701,983,429,063,225,868,051,
477,159,577,069,418,173,370,890,134,109,274,481,088,408,014,896,502,177,506,
545,273,042,123,335,747,452,163,358,509,725,557,859,736,471,525,942,161,631,
121,817,530,973,903,553,963,527,584,062,328,222,624,494,824,156,030,489,632,
891,808,801,809,756,752,314,946,162,134,137,325,051,270,613,198,189,209,509,
058,740,934,945,027,041,553,127,034,962,907,388,440,815,074,113,405,817,910,
926,510,273,377,477,541,812,051,332,577,408,944,811,295,885,123,886,843,444,
517,788,116,020,633,080,135,865,493,711,510,194,212,614,545,955,904,282,115,
044,334,959,872,784,826,090,423,240,292,863,036,162,571,643,726,433,375,674,
018,251,080,225,599,406,786,913,387,586,616,164,938,184,178,133,524,136,170,
702,298,160,687,350,401,493,968,943,889,956,993,846,430,315,916,669,670,309,
871,569,938,983,171,483,219,285,974,384,673,606,019,355,778,483,688,455,574,
076,126,801,760,450,894,967,386,612,153,480,942,241,625,764,192,589,068,222,
927,739,103,162,795,227,384,016,271,451,417,342,056,235,571,975,758,732,504,
397,953,752,271,685,476,991,276,568,519,032,352,231,117,715,964,945,076,441,
326,278,511,330,046,794,092,594,540,620,617,789,353,177,696,388,442,927,931,
237,829,255,862,785,968,924,625,042,202,453,472,382,276,436,991,998,988,336,
461,815,920,416,978,785,201,012,849,685,058,930,637,371,377,558,602,718,277,
131,901,771,872,280,096,451,196,100,530,772,238,579,149,834,457,641,692,086,
322,953,357,286,772,670,407,141,500,129,229,536,019,711,033,433,416,311,536,
079,497,185,224,750,485,542,229,905,137,076,127,786,096,408,672,843,314,164,
617,030,891,024,651,017,819,728,105,167,389,064,507,017,489,877,791,306,684,
631,780,766,823,110,172,985,020,164,791,309,832,046,499,890,588,366,111,783,
421,966,721,761,836,076,150,803,042,826,418,446,251,526,299,521,947,640,635,
830,716,621,646,294,696,130,757,948,667,019,737,785,657,540,437,777,061,744,
122,840,345,430,233,098,632,632,601,738,721,759,023,414,508,023,710,225,205,
186,749,456,907,697,458,679,319,456,387,012,832,144,737,263,399,690,214,795,
642,320,285,380,406,244,140,993,026,732,047,576,933,761,357,866,052,803,574,
173,736,916,765,634,383,643,092,261,203,166,109,530,655,846,535,826,942,364,
299,868,296,032,427,159,512,138,308,336,693,500,857,793,422,543,245,264,446,
667,617,635,674,653,468,130,520,770,734,321,535,068,141,295,322,819,050,423,
158,457,862,476,399,283,708,052,685,557,844,458,613,481,164,558,806,826,623,
032,088,109,676,842,453,655,484,560,931,945,107,636,872,420,675,531,722,221,
749,378,852,756,392,597,725,126,031,156,774,309,383,868,316,211,700,161,985,
817,437,235,069,794,231,240,843,859,301,275,891,704,519,373,678,940,484,145,
241,012,122,364,075,864,833,657,201,008,442,123,685,890,428,383,704,975,119,
211,144,678,579,216,818,678,310,948,405,623,483,634,318,789,672,225,193,705,
215,349,112,477,448,820,175,423,419,517,207,458,521,547,827,603,271,999,491,
872,231,506,624,490,170,618,708,285,594,099,014,782,364,543,776,170,956,782,
889,935,230,097,796,529,447,005,585,044,750,424,526,320,074,605,999,122,873,
260,438,861,677,109,247,495,765,538,968,635,999,905,980,237,641,012,476,548,
489,259,281,691,052,886,359,464,343,115,563,479,716,495,007,790,313,127,246,
302,447,940,193,564,798,362,927,649,707,129,204,019,204,464,053,577,593,835,
041,193,383,066,176,398,789,880,800,409,944,574,052,145,232,325,293,145,723,
167,726,479,511,429,024,656,765,557,321,345,336,051,938,229,877,946,709,797,
101,069,318,258,405,050,762,587,956,765,522,837,749,453,294,379,736,157,731,
753,095,157,863,148,436,583,155,005,215,887,084,665,798,750,444,536,741,494,
524,488,054,951,662,111,295,947,727,486,776,621,134,426,538,382,709,558,352,
186,136,981,662,827,897,346,222,069,743,031,180,712,993,477,368,052,136,848,
813,202,113,770,640,038,500,155,261,334,192,361,647,102,389,163,800,589,581,
884,121,823,209,470,980,627,557,685,751,113,507,454,091,849,753,113,743,066,
752,731,724,349,145,172,880,122,112,703,332,196,922,871,663,046,219,173,092,
234,799,371,126,165,405,822,379,060,201,740,350,883,753,986,796,366,946,933,
467,894,979,262,867,441,901,097,641,716,080,551,646,626,363,555,004,362,473,
967,006,407,519,704,642,687,722,516,726,412,253,252,311,018,987,125,037,698,
364,710,568,579,730,672,203,712,219,019,840,280,971,046,887,905,572,862,605,
889,389,912,268,709,929,947,228,130,101,807,196,000,853,711,901,940,505,482,
747,358,491,990,407,201,598,105,753,076,035,075,654,187,559,571,931,411,858,
934,634,734,673,533,146,000,523,005,722,587,351,193,244,461,001,701,852,236,
277,332,435,789,111,358,716,173,736,080,205,049,214,360,531,781,398,690,609,
122,156,184,946,298,092,702,874,719,106,623,653,716,643,477,620,777,155,053,
614,217,861,548,143,610,340,450,879,782,494,154,388,718,990,585,670,377,660,
332,888,164,937,535,701,555,756,357,190,431,753,476,719,847,689,711,753,458,
528,180,709,267,326,982,495,981,001,731,353,689,267,411,592,126,453,499,478,
455,716,134,893,944,075,761,572,200,318,687,442,488,982,158,959,921,575,469,
061,662,876,231,095,947,743,556,691,268,172,959,300,497,712,991,197,202,017,
697,955,739,352,140,289,662,137,944,818,679,609,273,117,614,990,212,895,966,
951,766,965,040,992,564,312,800,921,787,588,435,768,342,725,771,461,393,759,
889,467,593,383,478,768,823,208,632,705,448,109,159,770,981,284,608,540,453,
450,822,356,358,265,914,818,529,364,064,992,746,922,238,645,853,557,432,383,
152,044,738,917,810,340,212,060,868,816,917,273,154,730,165,724,488,676,229,
976,995,158,891,940,948,551,085,559,138,392,803,224,124,490,929,161,870,339,
756,912,410,825,757,348,852,803,573,591,874,326,835,484,939,972,592,334,798,
230,784,839,547,905,307,300,327,728,634,058,383,718,342,742,500,375,966,290,
750,555,279,190,790,496,353,339,739,314,198,270,661,170,763,486,411,372,901,
234,974,092,675,212,953,294,855,228,880,967,519,257,131,928,009,906,029,893,
225,502,367,975,065,326,379,494,769,996,229,994,023,303,928,755,072,001,567,
277,307,395,067,682,887,866,946,824,431,766,518,670,577,513,403,758,659,490,
265,376,651,851,274,898,900,128,379,043,398,176,705,185,829,481,851,951,568,
435,802,630,029,558,979,089,614,723,238,650,304,546,152,682,204,225,190,084,
032,133,748,754,996,345,964,237,985,872,982,229,206,573,347,415,774,742,937,
758,173,244,931,785,017,981,267,559,013,667,977,552,989,681,435,247,606,399,
231,509,159,076,162,038,664,864,230,537,536,782,589,001,204,600,547,313,029,
941,911,938,172,341,403,078,791,620,404,042,361,453,617,919,388,526,117,866,
658,763,206,960,392,737,495,939,185,011,631,223,199,026,685,845,377,924,045,
452,113,253,447,078,432,529,671,204,522,830,280,046,319,578,380,224,121,833,
354,254,004,585,071,507,760,817,247,054,587,477,310,441,982,595,244,852,829,
604,678,995,216,425,864,456,576,028,700,456,145,472,086,629,534,882,469,831,
764,587,326,240,148,075,040,118,938,466,603,377,629,433,496,733,639,548,503,
410,930,575,464,181,511,692,650,281,750,700,000,118,159,104,830,122,928,049,
691,267,717,250,528,462,989,549,494,905,273,203,155,612,565,386,473,083,038,
232,835,218,406,466,788,373,769,059,783,692,351,244,044,209,211,587,888,839,
691,221,629,689,576,092,449,785,031,225,598,724,048,063,337,490,791,624,658,
577,562,404,218,985,678,597,824,591,830,394,052,227,423,499,783,201,694,153,
868,453,461,435,926,428,629,379,384,986,364,598,530,113,082,370,843,622,920,
404,869,524,424,222,056,995,284,076,842,081,997,289,877,882,574,904,139,987,
279,345,717,654,263,340,838,817,257,386,897,770,569,574,435,158,952,674,135,
197,229,913,886,152,137,811,827,140,493,617,985,670,895,734,343,319,546,423,
276,853,330,532,751,750,206,042,311,207,443,820,556,144,155,113,823,757,477,
997,390,714,835,035,838,144,663,661,796,801,295,189,543,906,246,088,366,984,
608,086,043,869,252,758,860,275,547,512,563,764,998,290,172,851,361,524,603,
919,902,988,468,551,451,462,511,930,637,669,017,938,557,967,442,699,908,689,
854,538,683,255,837,703,308,199,528,556,511,518,616,952,869,925,675,803,706,
400,865,273,547,459,636,037,913,340,494,887,596,098,585,662,725,651,972,042,
878,914,487,305,032,755,732,612,996,106,116,311,411,225,629,851,754,996,320,
094,460,521,458,277,959,413,253,225,035,588,225,131,083,850,815,434,895,866,
490,103,030,338,050,931,140,865,953,147,239,378,033,098,310,945,370,108,144,
801,005,581,753,149,690,465,058,930,215,117,499,872,533,906,242,964,057,874,
013,528,354,547,170,368,888,158,930,510,474,347,340,417,372,537,795,015,696,
046,721,879,428,301,387,934,686,947,492,369,754,164,538,019,114,600,289,380,
974,578,653,088,652,803,554,853,260,191,643,629,274,132,453,345,376,118,195,
677,513,499,531,881,702,208,864,604,229,969,926,669,329,780,266,342,224,376,
209,436,137,645,567,858,394,090,426,225,437,176,993,985,375,447,305,630,818,
241,944,022,925,695,459,411,052,877,754,570,826,703,353,309,103,288,982,893,
941,065,510,005,662,832,503,123,812,150,979,880,941,499,754,018,505,594,189,
342,924,698,368,032,531,019,648,102,789,420,896,619,823,050,396,962,097,759,
580,421,737,256,013,242,056,663,714,356,540,252,039,666,380,369,660,577,835,
271,024,535,226,046,613,111,498,887,777,250,766,490,910,042,569,099,692,129,
351,145,712,963,277,304,460,297,818,054,501,255,526,235,591,300,615,032,818,
638,763,403,694,630,822,591,785,059,688,588,158,282,108,105,242,528,470,545,
405,916,502,446,828,649,885,709,712,912,933,013,855,132,995,751,467,856,963,
702,497,654,098,882,602,550,471,062,541,244,898,603,897,662,492,440,621,245,
884,912,989,340,171,705,552,010,089,458,081,472,320,172,831,712,757,086,587,
953,173,776,105,962,138,763,036,929,070,057,848,860,357,913,864,602,669,797,
020,865,378,850,431,192,424,865,101,413,158,762,286,174,459,599,383,727,870,
153,561,040,971,120,342,674,204,528,437,251,647,871,212,781,662,509,224,071,
996,294,397,504,691,929,026,259,638,363,764,280,221,157,344,281,509,064,052,
294,684,435,142,125,145,628,172,784,770,170,651,741,462,725,861,572,792,088,
361,360,241,837,833,144,366,764,420,507,386,743,617,174,228,908,948,056,939,
252,064,344,921,351,590,566,876,940,823,083,858,789,598,370,458,157,856,368,
121,500,409,895,128,043,955,736,330,659,443,491,487,712,985,350,318,392,032,
438,072,410,898,470,821,720,720,521,841,075,932,702,187,335,533,369,311,962,
024,375,543,495,555,934,741,054,020,521,329,854,172,164,376,632,404,222,167,
297,510,891,152,502,957,174,304,177,865,545,547,835,928,386,743,609,802,673,
622,246,900,865,323,764,754,495,581,447,822,479,046,220,244,390,134,981,385,
477,137,678,001,125,926,091,535,128,378,519,900,955,147,405,552,763,392,945,
867,562,661,709,335,902,435,668,161,319,644,898,770,326,256,929,336,299,430,
311,712,129,122,771,216,377,123,109,097,222,112,321,206,805,091,890,577,593,
500,658,036,363,520,623,475,492,190,396,597,277,820,122,606,780,360,966,270,
596,131,128,746,509,104,990,971,090,345,140,007,974,461,493,612,520,718,403,
855,928,168,668,960,528,202,911,970,773,445,032,756,652,705,116,245,305,014,
279,316,397,526,245,081,216,464,567,823,107,039,511,226,632,857,100,388,488,
867,592,347,050,193,437,734,808,136,403,290,093,070,704,447,260,418,537,617,
417,033,409,668,269,626,758,601,080,338,990,696,191,122,389,966,424,752,442,
660,190,219,650,215,174,854,409,283,258,834,646,680,847,155,918,946,691,462,
796,682,481,033,446,582,265,936,847,611,443,330,074,485,706,795,175,330,941,
588,056,912,144,209,158,314,486,642,615,827,869,733,287,747,396,876,734,827,
204,747,180,690,916,016,481,015,955,872,789,186,979,399,702,118,416,643,951,
236,964,709,438,456,149,986,682,121,205,514,954,775,067,195,009,927,648,428,
483,182,151,412,650,437,474,337,559,868,092,828,022,781,934,523,060,942,334,
592,840,864,883,449,111,425,958,749,134,486,251,240,470,025,201,036,969,152,
358,748,178,508,350,717,354,509,915,852,823,060,051,373,442,399,985,032,403,
626,211,573,064,724,262,981,259,842,811,200,259,019,814,040,879,154,153,359,
442,460,612,974,894,827,660,608,781,655,789,211,774,453,405,988,820,123,669,
602,095,417,274,265,763,984,894,136,650,980,960,159,446,339,368,251,651,575,
598,899,707,158,946,314,127,622,528,142,609,099,877,580,392,170,507,424,067,
046,202,078,320,096,411,335,885,577,606,583,627,416,704,784,250,856,508,581,
408,955,058,029,888,076,437,877,922,929,224,614,969,041,609,595,986,121,392,
564,089,768,264,586,108,146,418,910,305,639,419,617,217,983,738,425,499,322,
393,244,035,134,036,172,978,646,219,848,360,333,814,292,554,706,933,029,681,
504,624,379,573,711,097,625,107,347,561,761,432,553,967,925,620,256,188,263,
259,039,523,541,972,175,946,962,767,368,208,250,481,609,119,497,682,954,186,
409,476,201,849,610,478,047,354,265,691,897,079,034,068,829,814,510,635,811,
617,197,975,510,518,581,991,390,178,142,602,935,263,723,297,592,966,655,704,
014,406,281,129,170,928,203,785,891,756,172,357,394,106,380,565,939,667,500,
903,171,527,232,175,792,929,373,123,228,591,134,306,637,422,814,217,331,827,
598,938,606,247,256,832,996,177,941,646,921,392,196,940,020,562,482,387,734,
783,175,312,454,717,360,540,190,935,513,279,212,351,035,665,457,417,643,929,
979,373,802,630,262,108,093,555,484,355,077,126,833,929,696,846,674,043,751,
097,528,438,059,480,365,309,230,414,318,980,287,586,226,228,629,193,123,048,
135,941,498,243,710,918,575,968,588,657,752,103,407,654,500,868,441,797,547,
742,259,423,214,635,558,091,324,597,496,245,116,172,045,056,525,615,686,705,
832,190,167,816,647,924,992,872,092,290,784,227,355,488,636,374,576,250,889,
089,091,719,590,905,326,678,646,883,516,128,541,020,949,002,758,360,534,378,
248,560,551,103,558,106,127,374,528,208,798,632,288,777,056,562,866,046,296,
694,287,447,374,282,769,748,838,054,132,877,408,562,434,124,174,657,076,378,
002,712,253,431,074,310,998,280,600,516,852,985,694,026,410,485,511,268,887,
780,665,985,861,770,709,876,756,506,065,713,396,430,267,213,206,536,491,884,
387,620,504,950,960,916,903,747,048,172,261,412,691,359,569,335,686,822,068,
235,419,083,657,677,553,163,196,128,872,962,468,219,544,270,674,525,718,890,
814,808,166,591,375,398,168,201,126,205,289,019,371,605,630,958,014,409,369,
401,194,033,550,491,179,833,099,377,765,175,708,496,072,147,321,990,982,739,
081,753,753,156,611,993,144,003,125,551,935,969,767,000,327,677,847,220,364,
788,291,230,372,323,721,244,443,070,267,839,541,366,649,104,630,098,679,556,
650,973,914,355,933,437,976,479,254,517,182,384,023,112,813,173,391,838,451,
602,204,968,451,469,752,607,695,317,901,403,144,526,431,086,749,726,864,748,
952,440,424,885,198,808,242,430,846,225,748,824,785,334,088,857,686,115,541,
556,155,156,133,037,153,265,042,646,080,826,606,403,429,535,298,932,529,021,
433,162,050,324,676,235,821,127,769,037,348,391,171,383,253,096,996,584,285,
137,468,339,874,346,231,880,726,832,140,404,909,392,616,558,513,917,936,829,
839,443,772,508,502,155,623,820,823,351,754,484,893,827,785,897,580,752,113,
705,402,595,113,959,701,419,665,810,130,189,717,727,236,430,118,829,315,788,
097,848,456,192,503,363,607,034,575,251,622,566,396,175,436,882,051,047,914,
139,771,169,331,033,591,149,182,299,399,590,520,760,965,423,107,273,417,912,
677,431,390,178,124,955,982,901,746,794,550,619,768,472,714,388,570,172,286,
476,755,975,568,801,599,590,594,790,177,376,175,847,960,073,981,329,005,327,
185,583,459,105,489,211,536,929,135,638,967,953,214,934,436,035,046,394,583,
694,389,321,633,634,400,887,824,613,095,256,015,210,019,258,881,422,596,141,
973,410,332,125,384,827,738,549,401,512,318,960,369,903,941,846,903,813,291,
951,037,727,797,513,973,782,975,637,456,241,198,646,730,809,570,265,415,234,
864,991,302,014,995,039,524,737,028,703,057,989,013,699,751,444,215,654,343,
021,290,244,380,901,507,499,629,503,726,497,304,923,264,613,031,725,478,500,
765,917,950,621,066,056,987,857,352,895,451,454,172,459,286,962,680,723,164,
937,665,291,127,544,944,378,532,015,981,474,875,833,417,614,220,006,207,931,
639,952,669,703,402,443,983,756,054,686,680,069,178,433,034,714,902,813,558,
553,365,947,593,136,496,527,593,975,282,564,358,961,558,361,606,367,186,845,
893,112,359,926,844,527,382,261,656,901,589,603,327,299,525,815,145,735,592,
630,787,682,514,892,727,899,537,474,933,292,440,143,393,195,817,832,467,530,
970,657,146,327,747,385,684,726,021,615,894,256,098,500,103,078,231,597,152,
865,695,054,087,578,781,722,450,708,612,645,857,116,957,394,036,283,759,410,
546,586,389,282,142,605,804,032,001,611,008,765,469,459,640,251,026,939,799,
433,563,178,115,848,045,697,662,861,780,288,350,784,964,796,374,228,104,824,
313,731,201,594,116,074,689,635,527,886,790,798,647,340,611,536,169,153,069,
905,526,557,735,071,660,656,999,605,667,851,130,730,029,546,191,168,489,584,
836,169,605,674,859,487,004,137,460,705,534,615,867,648,887,144,212,672,920,
289,719,681,024,964,839,787,744,552,512,702,826,466,264,930,191,416,481,825,
690,534,665,548,411,665,730,310,170,474,719,137,632,095,705,933,808,262,481,
738,009,977,220,021,788,320,828,291,037,342,822,061,685,908,631,176,467,086,
070,447,177,549,657,966,962,170,746,164,305,121,864,236,737,134,310,155,543,
236,400,697,922,446,353,524,354,147,579,775,160,617,614,312,246,356,583,448,
537,077,278,886,421,508,049,476,103,162,261,089,643,145,516,607,285,678,893,
932,214,296,917,365,099,633,924,521,982,455,919,470,154,566,771,266,646,300,
913,029,689,905,445,490,807,196,611,818,728,270,969,603,757,037,676,073,853,
385,780,206,519,761,155,199,324,161,890,382,370,323,973,944,141,633,929,710,
767,985,063,634,284,830,900,495,761,468,810,728,994,300,181,945,442,547,326,
280,210,193,935,198,577,434,524,664,677,767,831,630,326,829,361,910,524,002,
065,613,297,116,612,558,292,713,849,702,844,077,055,989,106,788,941,255,195,
137,900,815,584,797,430,516,334,243,714,263,841,959,932,612,113,319,512,391,
086,682,735,326,292,383,280,796,494,104,157,331,119,515,972,586,426,087,633,
255,376,680,245,111,865,029,057,468,597,752,388,340,173,052,384,918,148,330,
621,192,705,712,022,039,777,388,490,679,220,201,130,287,638,241,230,461,701,
396,450,834,515,055,349,503,897,104,110,124,151,705,990,404,182,479,912,928,
618,125,442,534,530,835,892,260,583,587,884,462,583,414,876,372,729,039,994,
523,043,812,871,720,477,345,248,884,979,427,953,484,504,306,116,359,501,665,
113,614,762,799,472,742,907,596,298,647,593,596,862,873,686,531,306,196,012,
628,505,065,227,441,241,081,213,264,186,127,695,470,584,616,386,183,685,564,
399,336,034,107,040,384,969,888,753,675,286,183,588,571,280,294,454,724,975,
247,503,089,921,680,909,865,406,058,699,440,000,076,524,598,011,528,778,237,
718,329,064,797,473,541,902,470,294,573,291,471,046,467,448,261,324,950,676,
883,357,170,496,176,017,939,343,675,856,966,666,792,405,867,988,027,810,845,
965,378,992,305,366,650,523,693,107,169,849,926,193,348,236,893,082,106,137,
004,869,669,125,081,915,064,066,655,779,254,519,552,977,771,512,178,236,246,
337,017,405,509,018,230,656,103,296,314,348,346,849,962,990,140,741,765,557,
719,452,805,724,397,725,550,939,064,225,679,941,593,802,065,736,682,986,304,
030,515,381,084,666,485,557,177,385,920,063,735,380,833,151,152,820,600,231,
601,131,604,526,562,455,213,958,426,049,349,995,804,202,383,918,520,395,742,
629,010,383,151,911,382,212,816,651,184,472,116,333,240,154,232,528,086,424,
519,648,639,047,743,699,593,653,233,796,846,381,235,340,642,581,224,413,313,
199,592,942,380,681,712,644,824,621,204,157,991,691,821,495,562,683,240,803,
010,981,806,651,828,533,698,313,630,383,795,743,366,296,111,594,492,474,832,
646,458,607,915,522,374,276,196,015,430,090,403,145,647,187,956,128,858,944,
617,163,255,301,626,449,960,323,566,556,966,597,330,820,010,496,667,943,858,
792,025,830,891,682,767,113,860,873,188,276,584,314,460,846,389,737,237,854,
550,870,896,172,883,330,209,044,625,132,288,185,798,141,421,607,457,312,680,
751,984,220,474,087,532,358,358,955,707,435,985,245,007,412,304,753,247,107,
558,814,555,922,207,500,607,013,564,230,713,335,796,965,514,353,573,860,284,
401,722,385,515,899,213,601,046,275,202,840,365,045,358,444,228,917,229,331,
195,550,507,793,176,128,875,456,591,836,270,321,178,594,263,399,167,789,830,
803,850,517,238,011,643,010,743,841,791,737,758,216,246,218,657,671,106,684,
871,493,831,209,950,635,420,422,535,797,687,147,055,176,526,865,290,453,046,
422,720,814,083,588,013,824,802,080,619,356,461,602,540,174,469,431,552,494,
301,024,485,585,666,992,307,246,790,720,632,011,521,019,441,292,206,794,112,
611,074,868,345,567,221,718,873,153,345,452,210,873,815,543,460,101,867,306,
394,617,779,010,662,344,570,846,019,070,701,242,561,568,013,403,194,778,797,
984,239,859,925,395,793,434,930,257,152,974,546,073,706,743,069,938,392,226,
596,218,081,779,085,883,452,338,994,829,464,579,732,094,977,464,861,083,969,
527,421,411,893,439,125,919,885,273,049,371,920,935,329,426,364,898,676,065,
475,068,170,803,163,617,692,244,406,541,075,583,732,184,613,412,053,979,085,
626,147,980,522,363,267,278,060,662,238,890,922,972,399,000,227,953,617,547,
658,630,205,758,351,793,798,549,711,447,152,772,353,697,459,244,775,392,595,
797,965,607,929,458,115,906,404,092,573,291,108,014,438,121,337,080,043,967,
029,066,758,339,288,420,295,415,028,352,166,159,342,144,123,537,467,842,393,
424,644,071,209,219,368,167,774,832,181,769,945,237,517,155,661,109,978,800,
684,215,829,566,471,623,418,811,041,052,373,431,848,661,376,873,149,905,687,
480,716,915,995,643,794,549,351,783,514,931,600,544,445,527,493,325,186,909,
089,032,010,251,419,638,369,981,277,521,840,986,710,369,401,503,066,582,654,
064,125,765,318,918,585,344,707,981,273,884,755,440,156,540,743,713,090,276,
953,596,120,027,885,412,492,990,050,044,916,458,619,313,503,624,750,091,113,
399,884,214,605,949,848,546,530,963,749,389,881,855,800,534,996,188,893,691,
246,106,946,403,741,615,237,262,740,323,003,826,198,412,052,516,363,602,378,
678,943,159,711,992,228,133,811,007,322,915,843,456,675,463,255,877,258,502,
205,955,214,435,613,708,950,659,726,854,070,447,528,835,982,250,515,953,464,
927,024,918,418,982,628,265,975,350,155,417,949,042,447,232,272,917,739,592,
570,219,579,923,307,425,823,264,098,434,727,608,111,258,063,891,147,448,999,
251,700,718,387,414,689,440,477,021,793,587,028,545,640,953,285,845,203,547,
085,572,826,018,839,967,182,086,074,063,307,428,128,651,040,329,112,705,573,
836,006,711,868,492,898,013,513,595,835,901,145,548,598,605,329,643,700,350,
076,489,747,015,259,459,704,156,082,503,966,114,916,685,271,215,514,042,582,
826,430,174,522,345,037,629,314,594,597,109,269,753,422,857,495,290,292,307,
342,391,638,351,715,559,842,797,805,462,154,200,658,475,344,748,179,351,731,
734,135,851,362,942,982,178,914,297,411,956,240,572,953,615,116,199,458,572,
356,922,396,234,776,038,933,173,904,953,133,299,739,501,707,239,706,680,792,
165,903,237,636,205,130,324,639,125,358,640,857,628,018,793,141,583,156,841,
819,291,088,353,296,891,436,378,667,624,355,385,338,186,674,637,420,345,821,
560,791,766,686,843,799,774,552,932,190,094,455,434,524,751,577,883,523,631,
826,963,144,851,451,308,937,936,120,663,114,468,878,738,491,199,447,280,297,
714,772,341,107,778,483,597,479,760,721,291,926,279,052,937,728,385,701,183,
233,199,260,792,925,689,001,631,450,745,552,590,685,554,009,044,249,022,862,
536,609,569,682,972,360,742,687,717,930,116,920,093,061,704,506,182,806,419,
822,210,674,874,585,606,214,853,088,230,528,214,296,290,346,852,510,257,506,
455,145,143,238,646,511,274,382,546,888,775,565,551,008,935,962,922,178,586,
826,868,574,066,713,071,747,814,211,423,824,179,837,071,184,294,100,120,548,
429,489,468,122,565,428,350,211,565,771,371,418,134,513,842,432,688,055,378,
673,364,809,614,074,458,311,720,738,590,328,617,476,975,886,825,113,070,753,
841,461,824,392,749,258,041,633,032,967,628,146,237,015,213,877,203,714,543,
156,751,651,947,156,847,707,742,357,699,676,119,230,073,939,038,313,109,593,
618,064,362,040,353,262,221,255,568,256,041,870,088,141,182,606,421,396,428,
149,256,366,711,920,638,168,613,863,764,899,838,489,394,458,882,004,049,604,
453,201,677,371,067,679,702,391,641,017,168,330,872,300,643,059,267,675,297,
686,762,135,004,702,690,291,801,715,707,600,686,584,393,862,209,829,579,338,
273,738,859,535,414,664,703,231,054,276,925,205,991,859,536,554,326,110,733,
003,344,796,160,286,158,030,054,092,753,398,732,651,361,250,727,181,584,060,
361,500,863,856,443,434,581,885,494,370,376,822,931,894,086,209,224,467,860,
507,605,775,548,461,289,026,098,310,880,178,203,698,209,231,487,254,181,955,
533,381,944,523,980,075,320,791,040,224,674,453,399,018,592,318,243,713,940,
857,754,973,375,722,200,593,193,630,964,788,006,058,935,503,849,566,633,330,
482,972,701,965,479,668,037,491,041,813,218,970,313,777,179,307,780,077,771,
565,299,398,679,761,183,246,616,013,201,220,566,568,521,014,657,122,309,038,
892,699,637,856,517,537,629,137,536,720,842,326,408,991,456,548,069,402,402,
961,553,595,189,251,703,690,829,968,621,063,197,314,056,090,761,022,982,803,
646,901,569,832,177,918,386,379,632,688,817,754,966,489,440,097,035,352,986,
149,025,547,602,313,829,880,608,643,874,885,183,193,455,227,102,558,202,675,
176,020,713,022,676,948,341,839,277,048,586,561,943,712,312,867,684,899,136,
352,536,722,427,945,048,171,753,098,631,683,865,728,798,121,232,031,804,186,
262,651,834,640,447,680,288,709,202,926,932,338,980,316,765,723,782,365,371,
993,317,784,110,496,200,800,157,233,038,119,763,252,060,183,606,799,677,952,
192,102,890,488,356,490,801,558,973,746,746,976,062,682,147,036,068,827,584,
755,853,205,749,571,901,089,181,485,982,625,202,182,100,672,120,005,574,635,
045,727,466,844,616,394,292,807,439,286,623,227,100,233,879,978,430,902,161,
924,220,661,650,138,826,377,004,453,660,450,070,857,458,051,776,762,719,294,
562,330,873,863,456,583,623,324,291,762,750,177,798,211,312,640,166,871,883,
856,516,114,428,044,790,026,724,464,410,635,933,114,422,717,481,385,256,897,
921,653,055,424,171,761,188,662,937,967,305,009,493,246,709,820,059,046,931,
927,674,030,438,012,235,904,764,787,938,526,618,056,150,486,916,818,591,835,
758,874,286,952,759,860,431,845,401,894,782,335,421,403,679,791,597,069,594,
517,870,330,866,043,716,323,422,847,772,889,818,214,054,686,168,493,470,546,
767,943,458,944,595,697,494,253,466,635,621,008,384,677,743,609,706,276,055,
843,734,594,855,084,297,238,602,957,624,541,716,261,103,638,767,859,327,746,
689,208,955,804,930,734,007,690,690,819,354,117,077,995,341,722,691,847,494,
927,762,398,789,268,822,669,076,804,234,902,899,328,560,912,560,685,776,826,
713,455,969,753,188,784,853,567,652,472,467,015,573,193,671,734,845,343,196,
585,146,510,810,699,376,915,420,193,500,421,026,228,364,737,984,251,034,391,
513,897,085,865,560,241,493,531,667,168,320,866,334,500,387,060,808,420,585,
033,896,274,566,564,973,705,175,847,341,856,401,753,768,424,985,831,313,456,
860,618,968,023,713,977,884,626,438,763,415,726,237,640,972,436,606,393,434,
113,475,927,977,380,673,708,928,844,595,310,762,154,131,976,608,490,876,140,
860,645,111,802,615,523,818,135,260,465,785,484,765,170,845,015,129,195,863,
606,885,698,870,764,526,883,727,744,508,794,779,537,504,273,894,129,397,369,
184,315,308,735,375,787,732,392,079,688,338,368,006,765,080,553,673,545,722,
402,540,535,853,340,959,514,028,170,020,188,214,721,473,537,251,587,557,841,
368,580,361,734,822,619,289,383,478,349,228,340,115,198,370,211,607,656,966,
425,305,354,084,396,868,016,602,168,559,745,255,535,539,719,973,697,445,609,
704,938,254,672,998,098,495,938,508,058,347,981,806,961,261,512,314,224,336,
655,473,501,159,560,808,835,761,268,193,538,311,303,780,614,130,867,907,814,
206,605,248,698,206,961,282,701,090,018,824,010,101,091,549,878,820,241,908,
634,307,091,528,291,672,295,356,689,041,716,797,629,271,581,129,550,783,835,
481,590,332,836,624,144,512,527,244,692,933,682,106,416,478,044,186,952,816,
224,986,392,072,868,587,552,873,761,607,509,013,162,828,446,700,094,964,259,
693,899,592,976,010,733,757,809,645,165,577,658,289,488,852,451,265,386,150,
657,550,435,459,012,198,334,805,357,133,058,201,522,889,845,393,714,943,094,
186,252,675,381,973,909,755,169,453,997,301,632,752,203,177,302,443,587,856,
406,432,658,626,613,855,377,696,061,331,506,146,169,453,878,168,911,584,563,
153,581,787,395,221,916,886,793,819,981,912,722,901,678,481,153,749,849,468,
181,856,934,450,891,217,957,925,926,261,584,951,184,969,800,487,103,054,531,
402,841,513,746,920,758,546,193,581,053,772,300,282,144,571,127,033,663,295,
440,709,726,932,898,908,788,939,646,855,284,568,746,051,924,501,266,434,132,
768,816,161,038,053,239,765,587,138,338,939,995,188,280,066,654,356,963,209,
888,526,709,000,984,836,604,470,878,315,765,677,208,232,703,235,330,203,060,
813,325,965,037,666,910,193,469,265,413,067,674,098,841,493,552,966,600,260,
875,238,513,971,694,157,885,453,399,754,147,100,516,998,184,918,730,338,448,
277,008,743,345,295,900,788,276,957,976,214,369,717,787,498,581,571,279,406,
111,270,223,937,107,993,376,118,601,076,400,798,511,657,224,154,433,293,860,
679,670,434,270,487,370,213,013,153,340,396,947,792,108,446,184,199,902,791,
034,961,277,522,090,556,362,938,436,584,620,243,268,884,596,329,767,157,520,
268,268,951,790,747,948,030,845,600,765,756,746,825,709,019,382,671,738,703,
569,177,192,028,104,150,147,569,941,154,309,237,882,514,353,853,116,273,601,
050,231,695,504,075,011,217,499,782,423,431,339,158,749,797,092,854,636,538,
249,871,972,605,599,432,072,052,856,622,352,851,959,570,610,452,474,481,879,
037,942,705,313,901,816,537,734,114,978,691,723,550,057,358,209,616,709,340,
023,265,681,490,301,366,608,581,887,791,219,915,422,187,459,533,375,012,350,
167,343,532,960,260,870,573,186,728,422,278,649,342,973,399,442,626,402,765,
604,776,621,760,174,756,250,326,154,083,331,427,924,922,007,859,114,171,474,
784,750,663,078,272,322,663,433,788,563,999,694,385,389,382,798,749,643,173,
052,506,359,012,203,227,797,588,848,401,162,551,058,000,271,311,282,331,953,
391,735,383,544,523,111,666,545,529,797,539,845,735,993,025,815,898,742,835,
479,118,023,554,984,344,723,909,203,143,564,793,724,668,873,566,171,306,098,
417,060,236,509,275,469,370,443,336,795,355,962,467,361,599,569,107,409,459,
240,881,418,038,163,027,942,525,899,248,095,425,347,443,855,603,956,765,011,
365,658,728,085,068,964,255,978,933,142,885,823,033,786,027,857,215,166,545,
333,307,964,173,736,193,365,159,070,816,329,771,966,398,554,182,990,288,027,
700,537,635,911,845,969,603,520,010,980,294,528,982,508,657,141,643,718,111,
093,282,480,234,507,050,339,991,956,064,151,458,608,414,626,006,522,555,799,
460,845,463,212,408,688,646,223,117,183,070,148,726,253,963,857,218,043,049,
146,514,725,800,548,715,523,573,932,805,188,710,009,327,798,992,632,828,376,
022,640,943,128,462,455,178,096,262,015,226,797,452,516,338,843,429,727,710,
845,027,504,623,783,787,909,655,399,948,716,884,860,935,488,868,284,136,026,
359,281,861,861,027,052,705,683,299,939,415,925,424,835,880,780,514,075,426,
160,731,520,668,811,623,165,876,875,382,318,024,305,661,919,890,424,900,049,
676,601,541,888,728,650,498,552,264,130,778,645,244,697,669,081,134,626,809,
009,474,764,850,832,948,575,924,295,268,463,361,759,252,669,043,793,283,966,
670,417,015,220,613,243,058,763,150,284,077,250,291,555,605,093,265,937,074,
610,161,469,672,103,979,758,690,534,206,442,869,831,891,953,360,825,399,544,
205,817,296,523,352,137,836,109,262,877,534,241,670,784,898,334,007,395,684,
090,446,969,217,291,588,801,100,699,881,026,076,590,494,071,841,327,880,997,
768,197,669,423,509,207,094,759,031,513,148,119,761,356,599,019,128,861,481,
033,265,912,924,797,426,211,209,531,921,657,487,498,257,081,581,802,441,226,
284,388,551,909,323,237,945,292,120,639,758,346,312,985,704,728,054,447,071,
509,132,832,439,916,665,735,967,196,026,865,093,494,032,455,860,976,510,189,
288,938,221,626,145,144,163,829,936,310,384,232,509,705,091,953,127,358,616,
042,705,576,416,618,861,228,851,818,180,799,617,450,874,595,127,687,362,271,
923,282,275,370,815,047,964,261,210,492,471,530,112,764,373,388,232,400,545,
958,250,599,676,550,047,650,330,143,843,116,616,311,631,133,723,867,229,761,
484,667,574,376,846,350,000,518,426,750,789,587,329,070,718,129,877,698,628,
057,240,188,843,842,450,670,663,559,531,742,473,185,591,973,066,219,022,908,
138,604,787,854,216,409,462,017,941,185,139,594,721,834,102,894,999,190,484,
569,614,601,980,300,910,108,037,714,864,117,700,661,239,289,626,135,685,461,
285,777,097,630,953,812,977,898,893,854,601,514,458,545,901,791,405,636,743,
702,013,635,448,910,072,253,162,427,344,788,373,109,570,652,620,027,839,242,
399,692,916,700,840,713,861,546,630,927,670,154,874,229,823,612,875,469,140,
721,167,814,637,292,995,825,911,537,775,883,368,946,832,192,334,015,395,570,
220,234,298,767,152,219,733,607,456,901,582,474,433,475,533,296,441,416,550,
069,117,425,995,900,882,368,368,054,134,871,938,727,245,688,869,033,646,202,
724,051,057,718,065,817,875,538,340,155,108,110,769,808,846,441,207,483,463,
424,224,566,155,408,044,449,305,036,565,273,534,110,652,302,470,272,590,134,
438,306,635,010,100,370,969,295,531,730,712,937,688,285,363,289,806,110,727,
997,330,406,686,581,674,879,668,681,885,854,340,436,421,165,012,022,456,815,
667,264,091,934,547,911,899,063,126,123,922,140,033,428,010,653,474,405,694,
794,476,673,074,082,284,565,078,310,610,832,261,714,784,642,313,269,688,156,
384,160,324,562,749,622,537,967,327,464,027,732,051,894,210,940,640,481,364,
609,816,821,464,406,896,672,385,626,504,552,784,868,461,818,426,036,112,993,
913,679,484,950,523,968,726,599,795,038,653,370,218,831,812,932,799,639,489,
701,354,517,809,472,394,805,871,584,102,185,204,163,293,046,333,825,870,924,
736,182,733,492,236,340,902,712,122,833,045,688,607,022,982,913,781,942,246,
279,159,920,652,551,870,884,496,137,604,047,242,703,038,525,988,199,278,370,
910,087,913,844,457,048,923,996,143,573,489,735,808,704,364,128,971,506,771,
399,035,094,099,429,215,939,526,232,728,602,225,101,788,449,521,623,995,837,
164,394,012,600,513,347,259,173,747,035,044,720,801,988,727,151,357,793,316,
577,596,959,945,875,048,396,953,677,610,815,384,697,935,178,362,977,137,988,
149,753,008,013,680,352,533,839,271,082,282,426,532,017,648,278,987,827,641,
632,110,519,492,166,517,981,907,569,296,980,275,400,481,403,202,021,645,409,
809,528,931,050,743,316,321,475,534,127,843,823,876,754,698,210,658,302,687,
870,600,695,613,213,455,492,014,574,232,987,637,440,049,694,322,823,186,060,
629,773,390,463,350,123,539,788,833,584,594,176,246,135,476,983,504,539,514,
331,705,450,185,165,465,823,950,003,924,916,961,387,027,115,157,260,254,309,
346,901,330,967,789,160,225,292,717,674,313,556,736,182,348,223,842,257,882,
250,982,218,010,730,933,710,364,888,488,792,565,875,669,912,003,026,376,101,
099,442,321,168,529,209,666,148,466,613,991,086,493,831,658,580,280,373,712,
788,132,860,594,930,056,115,764,350,955,387,085,946,170,262,470,331,435,262,
679,495,384,927,627,199,564,576,010,217,148,125,143,183,318,492,420,057,402,
043,034,281,726,361,024,480,666,022,759,738,894,579,688,608,463,777,884,243,
242,033,259,365,525,293,424,471,235,928,867,127,906,901,303,571,741,204,077,
882,977,021,500,819,669,438,247,501,482,166,899,092,277,081,895,061,193,711,
262,705,467,094,133,384,099,896,385,925,558,147,663,916,594,519,155,349,995,
587,464,868,405,415,350,227,194,414,232,601,933,510,292,553,875,230,254,159,
007,153,013,590,355,735,610,958,472,184,486,554,064,185,500,451,774,726,533,
403,607,445,904,146,295,289,496,497,069,805,616,341,164,942,116,427,626,678,
872,537,641,296,255,300,814,320,675,794,456,380,388,045,613,107,492,781,650,
741,841,130,549,984,989,366,513,906,203,992,628,483,977,030,884,568,970,558,
837,355,157,706,512,720,026,566,409,648,779,187,279,753,782,091,159,796,085,
098,702,338,306,354,173,395,335,185,250,901,464,525,341,938,737,326,465,122,
693,669,522,725,082,689,324,633,391,904,520,947,436,179,281,228,621,952,300,
424,209,434,347,108,551,281,019,282,044,144,360,640,160,206,104,309,934,006,
727,436,424,822,975,218,901,955,213,292,658,905,764,069,014,993,663,735,497,
409,920,515,072,040,918,699,066,648,621,339,535,740,824,074,340,221,000,425,
452,419,121,867,520,285,854,924,572,240,613,204,039,277,711,632,178,819,873,
969,836,029,797,012,438,849,107,902,355,265,883,490,577,023,358,178,398,477,
700,741,902,676,053,017,627,456,271,176,772,855,487,308,587,647,460,333,855,
089,947,392,381,761,287,512,500,826,952,678,174,639,195,023,283,644,022,463,
635,263,219,405,558,592,274,146,555,754,745,613,198,266,317,033,453,841,850,
650,973,686,194,471,641,931,849,805,089,479,240,196,146,541,838,298,056,162,
492,059,809,948,336,206,046,484,607,037,680,564,199,443,329,259,539,145,319,
657,364,114,100,805,457,223,545,048,587,936,432,196,376,376,248,311,647,155,
443,644,587,344,113,523,497,263,245,673,320,900,469,321,919,739,603,711,892,
275,990,847,650,285,927,133,415,074,044,812,176,567,037,225,508,339,720,620,
570,867,451,362,333,685,400,815,284,340,725,514,427,733,231,921,388,552,311,
746,434,039,174,957,269,803,794,466,885,859,386,535,289,286,603,895,881,309,
202,268,127,334,669,762,231,426,155,933,581,486,998,808,397,475,486,135,389,
289,376,385,036,872,358,651,427,578,253,928,203,446,677,869,298,176,180,621,
534,505,164,316,141,651,956,348,723,073,181,790,373,582,069,643,832,524,455,
232,669,831,376,976,981,885,901,845,089,605,266,810,580,049,840,174,232,540,
711,258,964,000,089,260,383,535,363,178,043,499,132,403,328,618,331,847,269,
010,308,686,905,484,947,113,951,568,085,254,666,445,618,574,185,118,916,199,
018,249,726,788,690,472,352,341,324,269,332,740,711,488,210,276,167,685,235,
576,963,906,681,183,697,563,848,811,105,164,304,120,343,854,589,591,143,319,
785,584,876,831,965,372,125,108,221,808,221,598,332,572,311,423,686,899,241,
542,106,608,108,419,600,991,921,605,590,906,873,190,556,026,553,549,307,492,
758,961,438,653,812,798,896,649,783,738,304,506,248,293,063,053,069,300,049,
622,514,971,981,474,301,467,379,603,105,822,792,973,965,494,887,864,767,596,
543,754,684,681,334,159,309,845,101,614,866,179,941,277,656,545,184,783,314,
047,264,263,738,644,537,782,052,871,831,019,794,250,005,459,082,841,197,611,
437,580,277,905,952,163,296,442,435,197,760,099,139,001,340,113,797,352,582,
692,962,763,300,063,443,170,505,760,482,385,187,954,871,965,172,859,664,034,
944,921,104,139,665,168,081,492,712,844,331,844,581,742,239,312,397,668,320,
077,594,172,592,701,694,787,612,042,351,805,907,165,355,853,754,828,473,949,
936,197,816,666,411,043,259,582,053,415,274,887,989,188,913,126,103,592,479,
765,819,397,411,645,831,521,535,132,174,328,960,646,503,347,333,453,096,456,
513,184,606,631,146,305,485,494,123,974,785,021,009,842,999,521,767,342,645,
090,849,969,051,747,658,547,431,920,000,992,844,769,914,670,543,920,462,738,
252,003,679,455,480,204,077,498,273,444,181,423,259,552,492,816,528,519,055,
495,014,313,070,182,020,577,230,162,623,234,048,513,529,067,951,662,051,865,
880,607,829,921,952,602,582,708,946,110,726,054,158,697,575,550,726,940,878,
487,045,909,989,363,743,417,081,789,014,033,258,443,836,478,078,017,092,499,
230,734,642,600,302,473,901,898,236,006,139,822,402,079,855,870,168,385,639,
148,038,326,741,219,794,775,569,492,570,173,980,417,708,078,185,643,674,324,
668,435,907,539,902,237,031,712,548,473,887,034,792,373,602,315,947,257,437,
388,319,826,276,794,850,456,665,673,777,013,183,568,594,880,994,694,833,339,
191,844,161,876,398,121,487,034,478,226,647,687,273,840,280,418,501,168,436,
140,964,183,256,145,301,810,273,578,207,436,004,852,286,053,225,801,012,998,
169,610,846,149,500,318,900,128,650,979,864,927,482,303,620,067,854,279,808,
779,548,967,744,914,562,475,599,112,757,720,532,658,806,466,469,546,445,791,
189,831,716,851,855,095,730,937,811,311,899,965,999,320,626,482,281,685,264,
186,887,042,864,408,235,471,918,103,143,970,490,195,540,094,668,971,182,406,
874,831,821,321,366,353,426,249,464,605,052,278,739,216,233,088,950,019,762,
168,376,567,103,010,988,902,562,340,672,835,200,929,006,860,619,267,014,020,
843,584,452,463,549,387,152,780,637,749,633,695,825,606,551,700,568,145,187,
313,379,212,528,083,462,021,070,917,691,956,939,322,835,904,642,938,243,833,
693,470,539,067,865,724,412,017,483,921,975,356,838,538,633,610,528,400,480,
563,764,974,527,659,613,814,523,149,906,233,192,730,741,754,139,079,436,134,
433,865,292,433,970,552,655,633,074,566,479,209,734,961,552,987,964,196,993,
914,845,168,597,996,727,721,413,574,846,955,751,659,153,398,968,244,108,961,
879,746,926,708,294,836,771,910,018,768,927,788,535,261,567,336,338,294,672,
584,918,719,130,436,853,527,096,925,675,775,971,407,067,745,657,669,708,029,
945,922,587,944,292,808,655,601,596,199,150,174,896,657,621,655,395,687,676,
218,914,444,232,661,898,379,031,463,953,114,464,642,236,916,677,253,561,084,
750,411,660,698,877,718,627,647,062,377,603,505,614,280,062,058,675,078,204,
013,328,303,270,501,492,782,049,875,466,551,302,154,467,809,524,869,220,048,
503,402,395,339,308,320,699,884,911,785,811,110,196,894,738,468,305,217,643,
703,889,336,372,917,787,615,548,674,967,195,090,876,576,651,915,845,300,947,
484,849,825,913,416,233,388,730,607,941,007,210,150,582,509,233,462,232,134,
550,114,054,986,303,301,386,014,126,426,178,617,593,586,662,385,468,923,319,
958,782,869,100,894,217,244,585,925,583,322,407,955,548,688,511,599,382,545,
896,115,039,626,873,761,940,725,489,722,110,755,205,127,119,315,396,000,479,
425,728,809,203,511,244,248,506,300,387,000,903,070,758,049,690,402,710,248,
802,190,115,491,809,772,140,357,986,462,228,103,128,606,641,175,970,074,229,
012,734,898,063,865,579,174,739,794,815,542,788,256,502,893,511,619,627,335,
020,322,060,793,396,987,161,751,898,732,770,650,312,079,703,077,002,274,455,
682,809,653,251,157,536,601,577,670,289,330,735,570,299,511,970,342,243,046,
357,079,469,613,013,415,441,081,403,190,958,638,421,830,899,745,262,519,482,
073,557,166,115,242,847,366,595,695,318,223,469,145,728,863,835,287,733,140,
743,842,507,053,592,945,195,979,152,980,187,553,633,142,292,566,126,137,789,
980,413,474,255,464,036,059,491,071,369,168,138,564,258,051,309,092,724,587,
135,920,724,305,189,889,262,086,148,251,104,576,667,615,774,740,090,283,982,
098,796,769,160,697,537,315,046,450,645,885,241,231,164,364,543,549,730,136,
372,243,766,960,770,255,237,322,359,231,403,131,619,367,489,284,758,853,686,
637,406,573,627,892,035,131,367,417,704,381,914,914,975,145,764,529,965,728,
872,475,857,131,395,656,965,160,421,483,020,145,526,657,812,775,890,687,176,
016,187,232,530,741,685,636,121,528,922,604,935,013,328,871,192,602,329,615,
586,365,584,715,633,946,334,272,321,723,383,586,406,554,291,178,672,470,439,
541,819,424,322,363,435,883,983,523,081,266,047,794,731,175,601,646,784,358,
478,396,115,700,502,627,783,845,697,303,101,594,435,051,230,039,738,119,453,
654,380,391,741,417,546,902,779,372,122,483,003,437,638,980,167,516,933,186,
127,950,297,470,998,783,786,844,291,529,383,611,743,431,758,484,323,878,033,
599,735,485,072,355,629,265,851,329,830,611,383,689,731,453,322,218,008,575,
919,361,428,580,563,468,514,729,739,342,410,292,387,692,399,107,410,043,064,
514,022,556,684,279,904,817,667,403,994,485,860,526,165,776,475,534,561,095,
529,910,197,542,126,934,379,659,992,582,171,286,087,702,339,039,687,215,688,
439,147,834,423,508,807,521,529,004,574,548,780,375,585,746,462,951,841,462,
221,386,892,614,029,586,585,595,505,293,182,570,685,723,590,973,349,325,957,
526,447,941,126,070,210,967,142,601,199,955,913,058,623,738,394,612,202,967,
220,428,828,143,226,723,178,650,983,537,842,922,187,678,138,299,626,549,504,
677,190,023,947,915,977,302,407,200,132,411,303,344,298,631,345,320,186,024,
880,007,618,524,901,839,992,836,775,023,336,621,912,164,668,517,767,952,110,
534,954,277,947,567,687,914,406,936,297,554,417,825,515,610,042,855,386,756,
161,831,926,281,899,535,270,995,530,027,951,796,158,083,701,470,789,369,100,
272,621,741,630,822,470,130,057,690,709,967,150,302,050,577,603,585,884,766,
382,061,988,890,221,389,119,103,242,336,374,999,547,436,159,932,184,036,664,
764,640,091,705,179,373,074,447,998,448,756,183,073,117,427,781,355,433,353,
323,806,377,451,264,959,276,334,743,627,814,798,676,720,944,937,852,152,228,
578,520,351,757,723,947,963,831,568,523,694,572,117,183,017,864,526,278,893,
978,337,590,203,475,514,430,484,780,538,530,458,442,762,170,544,289,864,509,
090,837,631,811,448,164,483,283,993,371,657,129,240,663,755,378,978,935,159,
596,009,539,985,526,380,938,847,562,342,569,861,901,810,576,646,728,090,519,
077,961,266,115,395,906,977,896,166,639,148,388,674,796,570,410,823,076,943,
898,162,601,672,785,226,541,554,801,231,388,370,712,977,204,598,557,853,109,
176,232,871,620,522,281,737,175,548,327,292,259,506,575,495,411,215,378,342,
234,052,821,004,335,761,838,487,781,517,468,222,669,765,017,356,859,674,344,
867,905,042,252,528,952,568,281,091,718,072,584,237,692,373,890,053,761,173,
512,406,809,362,475,093,746,202,998,250,059,523,742,043,501,551,400,549,388,
201,652,270,620,587,440,810,044,549,925,119,999,394,536,407,871,423,839,668,
459,814,582,276,603,597,343,249,076,059,689,571,804,292,041,116,942,706,262,
241,273,470,568,231,380,959,243,258,667,888,160,254,721,374,237,456,628,388,
838,250,930,294,525,554,092,875,467,432,257,444,621,376,783,629,100,408,075,
677,134,867,803,759,271,549,696,023,021,735,837,089,188,164,705,532,054,441,
928,872,124,238,303,196,487,255,263,610,529,626,403,313,373,620,564,227,961,
763,257,434,558,780,427,915,173,264,078,300,026,617,786,871,348,136,094,968,
003,738,087,745,650,407,532,244,791,340,047,966,251,997,144,228,531,582,315,
665,164,772,648,593,619,430,819,519,881,418,581,691,055,752,437,107,193,481,
357,667,857,802,688,476,962,281,295,494,544,182,417,653,460,060,721,777,694,
523,378,356,986,678,023,959,801,860,146,681,252,479,808,399,093,858,079,188,
317,937,727,531,366,205,365,957,225,455,393,004,280,650,267,163,123,189,419,
870,880,607,184,656,372,302,469,150,732,701,484,099,028,126,188,340,305,276,
162,926,069,448,646,901,737,530,651,431,372,498,113,678,880,121,891,305,260,
252,389,925,251,170,883,898,089,431,426,283,654,621,381,002,504,653,657,668,
008,959,080,641,467,772,169,787,967,273,415,084,481,475,266,884,789,947,883,
443,788,640,445,328,828,596,979,674,882,567,487,098,102,030,543,852,247,738,
705,564,208,841,843,725,352,598,974,743,946,850,416,128,386,385,893,823,852,
235,219,145,200,708,191,074,562,453,732,077,460,086,564,947,614,085,016,070,
283,026,554,955,565,576,320,331,330,398,445,904,160,722,712,916,592,234,702,
677,904,537,148,804,231,016,318,885,933,617,887,604,992,953,384,630,799,273,
011,350,262,454,441,683,470,282,339,475,908,772,255,827,607,286,627,447,105,
026,072,222,675,423,072,713,315,311,550,953,602,440,477,286,708,443,654,390,
452,720,115,094,286,102,216,410,766,480,286,819,786,771,021,147,128,382,837,
772,782,836,234,063,428,805,406,121,879,088,145,788,450,353,248,588,102,790,
970,191,136,289,529,783,524,102,959,997,629,087,475,232,819,929,876,760,720,
706,680,658,100,573,914,076,404,551,555,606,833,775,962,092,007,983,960,354,
400,685,992,294,795,100,127,640,570,019,912,899,653,930,678,564,141,632,025,
528,158,018,433,845,245,383,417,493,533,718,391,348,114,105,991,713,608,820,
643,773,180,689,435,872,504,655,216,874,442,762,274,625,953,002,772,451,521,
149,758,475,986,966,142,106,458,441,473,769,658,016,868,787,380,286,073,258,
675,541,900,984,494,909,144,346,745,361,183,057,409,437,721,596,526,364,373,
116,497,878,316,499,856,855,950,097,012,713,343,088,226,018,632,893,323,015,
672,668,841,363,887,145,363,033,310,602,460,814,308,156,798,480,974,027,991,
214,637,735,527,770,978,397,390,161,278,665,862,204,964,933,813,140,485,317,
207,138,291,587,859,112,613,616,255,086,257,689,832,567,370,287,864,186,968,
665,675,613,447,528,527,638,310,691,460,090,753,016,045,801,242,314,218,868,
415,529,913,542,639,004,341,169,930,137,342,022,872,154,293,591,995,329,366,
189,274,523,388,782,827,871,809,691,362,707,401,938,877,455,698,797,781,647,
562,788,228,953,309,366,290,143,422,890,055,015,028,608,066,542,723,557,442,
783,022,874,292,630,165,448,513,650,420,689,057,520,775,841,880,855,081,232,
792,086,189,045,267,710,095,980,066,357,853,888,834,398,658,588,857,218,487,
575,249,316,690,627,889,856,404,785,688,407,662,863,873,355,543,857,299,164,
094,901,767,255,565,473,713,952,964,105,474,508,479,292,837,997,068,403,788,
237,466,981,852,349,239,747,278,057,841,990,190,691,719,451,733,740,738,378,
421,150,713,278,424,371,132,671,940,451,235,750,428,175,499,920,515,225,840,
272,832,395,465,053,678,574,993,205,769,195,096,279,622,841,620,890,240,453,
392,590,701,630,833,216,018,731,892,894,561,382,423,511,703,101,208,016,672,
559,190,691,050,325,360,911,211,632,651,793,244,854,132,136,176,467,308,936,
397,720,082,082,453,431,527,771,693,964,597,139,947,860,546,894,755,366,845,
116,316,139,858,384,590,125,038,376,334,454,098,468,904,792,199,302,110,319,
150,871,633,309,681,635,669,175,629,878,717,656,781,200,321,425,257,356,220,
646,651,937,220,550,200,242,483,529,047,530,074,921,740,797,640,572,380,729,
929,567,165,010,169,902,137,502,356,209,826,615,507,946,170,905,012,604,310,
870,738,148,117,763,467,890,662,564,575,767,788,703,032,640,964,013,467,844,
152,567,133,951,811,287,550,239,442,412,624,836,723,499,270,434,235,663,711,
613,594,507,400,159,046,297,958,846,436,028,958,446,074,012,540,798,325,242,
230,894,168,050,490,424,570,248,554,570,471,090,426,360,676,797,094,135,628,
763,935,307,064,370,025,682,397,586,467,704,976,766,419,198,734,951,751,351,
988,624,128,952,822,063,363,068,154,859,443,495,795,031,135,497,001,590,546,
179,595,788,434,790,594,725,097,484,628,258,597,051,210,537,014,153,517,609,
363,825,105,448,217,906,401,781,163,420,215,945,489,839,713,117,240,041,395,
916,624,640,915,884,672,369,154,697,604,329,432,178,550,188,523,022,484,016,
989,180,191,287,627,174,744,080,919,631,421,948,322,283,672,057,904,025,188,
508,667,915,307,864,570,556,552,128,484,350,671,414,671,414,430,073,268,961,
975,109,022,821,969,233,879,277,745,263,300,655,022,436,434,858,312,204,667,
623,008,658,674,294,088,613,127,016,339,065,384,532,215,078,629,510,538,435,
740,236,558,498,018,022,502,542,186,546,234,969,402,390,280,755,049,490,371,
182,251,252,788,541,151,871,847,847,705,041,465,786,427,589,073,158,338,161,
819,622,074,250,161,588,542,279,613,327,653,314,216,461,536,115,482,364,400,
598,388,134,685,132,469,964,235,837,803,687,546,864,287,010,610,790,982,021,
383,397,789,024,786,899,139,449,059,602,390,135,445,394,683,351,943,305,223,
529,280,806,804,579,775,553,926,331,679,716,960,244,469,380,367,468,801,838,
935,961,186,980,859,302,764,220,562,470,398,690,635,720,291,180,607,090,264,
393,882,796,003,398,149,512,496,411,406,139,760,631,689,271,019,877,871,562,
652,616,470,381,085,676,712,999,619,777,243,013,009,303,235,501,455,100,123,
849,454,739,933,860,928,215,969,198,442,913,731,831,233,254,904,908,182,030,
266,570,346,747,650,216,370,144,887,847,903,220,343,371,762,810,219,672,868,
249,659,256,334,966,175,683,621,864,019,987,129,757,054,914,491,444,107,448,
338,124,136,918,288,112,003,059,298,391,000,250,936,472,120,688,262,774,912,
871,906,843,145,760,814,674,081,015,193,797,372,279,451,753,709,750,368,692,
014,334,165,762,434,416,207,330,907,507,987,375,830,656,767,724,300,569,434,
827,917,241,127,718,672,423,536,506,982,297,131,207,504,679,939,351,422,758,
786,850,870,971,108,181,395,595,892,426,503,239,023,457,838,036,591,193,892,
454,856,911,689,368,250,785,702,647,838,193,177,018,914,986,329,748,320,792,
204,945,150,406,183,501,382,199,151,908,762,033,422,604,471,419,602,667,001,
002,026,625,854,494,480,354,688,827,121,581,259,374,256,205,426,060,378,856,
569,559,745,803,587,986,637,185,406,691,660,326,045,532,891,597,302,293,160,
531,518,509,043,863,479,243,816,606,777,224,003,153,271,723,228,230,308,935,
779,538,913,313,809,717,763,630,096,346,975,233,589,708,566,751,122,182,857,
986,263,871,825,145,634,576,685,024,465,837,165,538,095,376,659,515,140,603,
157,129,413,424,193,525,179,018,929,850,363,999,507,681,071,137,073,796,412,
146,422,871,280,210,717,917,653,798,051,764,574,880,332,610,139,051,945,638,
193,014,459,537,781,090,976,277,671,051,297,378,175,268,654,738,271,679,509,
775,103,144,402,347,329,102,528,066,811,036,294,402,043,768,393,415,245,782,
961,612,565,739,561,609,579,574,544,476,285,719,281,937,935,423,481,417,078,
283,855,694,134,271,036,114,006,092,526,440,022,563,299,417,277,005,403,420,
377,376,427,977,306,039,958,784,102,170,489,174,967,495,616,638,448,385,896,
190,530,644,680,365,411,463,432,342,601,491,963,314,388,584,074,350,902,180,
447,338,741,413,701,326,356,426,481,905,667,276,304,161,868,017,509,770,853,
520,594,485,879,759,495,334,987,776,451,930,317,470,061,058,935,834,944,163,
009,931,192,746,937,297,016,314,912,539,490,522,611,229,858,162,440,946,241,
312,022,245,615,061,421,478,149,860,387,017,312,499,450,789,228,025,346,865,
551,966,648,212,912,663,151,733,531,758,459,537,106,453,376,610,206,074,787,
107,839,571,305,311,953,119,290,789,270,844,729,428,629,714,423,328,243,401,
953,965,671,458,555,174,960,096,174,196,439,786,526,808,239,774,031,952,031,
305,968,405,688,055,264,016,683,983,109,379,290,546,095,016,657,412,607,849,
778,618,659,317,756,261,827,755,748,281,036,632,073,883,515,935,057,024,506,
957,210,961,004,201,394,788,259,703,804,987,117,497,693,936,084,840,017,149,
397,698,848,189,002,141,962,799,751,521,749,467,276,111,759,094,275,083,120,
201,235,562,738,818,726,306,832,186,630,688,598,712,189,755,311,907,903,830,
934,558,444,987,120,427,802,657,146,226,929,759,482,720,227,767,149,864,626,
281,687,458,738,122,958,508,214,656,852,356,326,158,671,716,235,045,690,140,
306,476,741,344,024,726,749,673,362,452,005,845,738,867,942,796,271,937,713,
713,243,517,496,528,326,690,272,270,791,310,561,371,715,139,344,145,208,567,
932,436,492,549,677,052,140,266,567,089,599,220,003,459,591,102,637,917,641,
464,092,746,935,606,638,041,255,711,868,519,126,453,972,873,827,738,011,265,
257,340,362,229,884,218,729,917,096,532,875,888,751,041,139,835,330,486,662,
596,972,259,054,619,003,199,973,933,076,079,505,864,260,453,088,110,108,773,
754,356,318,297,967,413,236,845,987,022,433,780,422,818,820,630,596,929,475,
565,814,793,237,565,605,018,876,289,711,500,759,644,435,056,370,231,867,686,
968,760,500,491,172,790,715,085,215,957,160,589,406,323,816,893,033,947,008,
812,496,726,940,722,735,677,900,247,874,057,272,727,657,393,530,551,929,138,
748,881,061,057,300,011,782,213,846,889,449,628,903,980,958,138,014,678,548,
560,996,547,144,749,373,012,983,638,404,901,281,541,487,404,774,473,312,858,
397,897,007,304,457,787,315,047,947,940,603,831,652,734,635,895,172,935,212,
359,403,537,302,131,200,874,810,024,977,405,933,578,508,847,254,597,328,631,
003,743,442,614,822,264,458,987,795,853,321,052,493,696,148,070,776,121,181,
964,826,527,578,860,876,453,450,685,525,951,255,418,590,377,532,286,912,056,
320,554,303,655,311,426,455,074,564,201,270,962,507,129,689,706,872,543,092,
839,734,818,291,218,807,148,635,193,511,142,296,289,739,110,307,574,604,345,
427,932,777,090,318,597,522,239,095,290,156,690,044,809,047,334,447,738,918,
634,735,993,907,818,186,046,777,191,689,994,073,655,297,543,833,995,635,843,
994,582,722,445,972,648,747,731,483,863,911,771,812,323,100,930,136,351,170,
023,602,704,514,953,197,357,355,228,773,371,980,835,191,427,689,190,965,939,
035,154,122,566,748,646,726,020,856,503,697,947,296,562,367,644,393,611,578,
682,237,314,482,884,159,309,137,224,248,136,794,409,569,705,294,095,402,634,
442,359,036,141,432,647,823,581,448,172,322,207,089,170,621,497,219,949,930,
011,474,510,928,835,439,908,157,346,214,773,149,792,260,633,305,305,975,920,
830,445,325,476,566,621,532,206,762,854,887,893,878,962,826,927,293,007,543,
713,176,089,656,804,136,475,550,294,280,922,754,960,287,529,344,983,121,128,
313,081,911,435,963,797,807,637,042,516,458,214,664,174,977,065,583,467,508,
892,905,304,256,070,480,406,259,450,686,831,761,131,970,631,993,595,207,099,
848,496,686,575,245,115,604,855,892,600,337,206,050,476,860,341,076,743,707,
724,068,272,269,036,190,806,301,169,508,845,570,961,279,311,156,620,661,087,
261,316,806,956,804,949,692,431,016,751,624,147,809,689,014,056,848,833,679,
920,000,909,236,149,361,285,783,077,293,653,004,583,813,349,491,338,925,141,
770,821,484,724,706,835,966,796,519,732,859,639,010,840,412,810,379,721,331,
007,242,025,085,865,813,682,822,735,346,130,279,341,312,990,722,217,612,304,
462,752,782,250,075,628,546,155,265,493,171,628,067,286,713,634,665,093,688,
552,274,441,588,513,233,129,483,579,606,068,492,891,057,321,856,976,238,007,
419,934,986,126,118,473,757,337,502,394,939,826,361,669,982,522,830,573,679,
205,255,897,055,422,464,128,819,383,908,937,731,746,976,120,509,295,711,679,
416,304,913,943,693,658,860,711,415,179,193,630,746,807,469,013,229,988,409,
521,483,645,340,106,652,907,490,690,162,174,586,546,132,390,265,531,375,168,
944,665,243,059,733,620,370,182,514,419,600,537,433,691,032,854,173,325,317,
797,659,882,571,001,805,716,253,087,242,420,561,340,014,622,025,562,395,384,
361,376,235,129,216,617,732,104,663,345,961,087,039,870,631,155,989,991,058,
080,574,261,903,893,304,529,980,332,969,571,724,362,662,120,600,353,488,450,
161,407,548,443,946,894,425,144,236,644,827,493,325,411,855,172,919,415,258,
531,330,017,620,933,635,650,249,978,481,776,314,482,254,857,860,613,219,392,
760,114,822,793,134,107,006,141,635,499,856,638,307,133,610,072,584,094,969,
203,069,209,756,836,297,723,310,864,148,634,435,236,005,949,675,204,237,685,
658,567,420,190,889,253,407,916,138,527,448,174,858,448,472,198,981,050,319,
010,097,359,446,466,398,110,764,797,031,895,479,219,275,539,099,902,253,362,
030,646,044,895,555,563,861,351,838,495,550,339,101,384,109,671,428,948,460,
815,599,058,531,971,541,325,471,046,533,119,648,074,446,814,507,958,931,842,
499,000,877,992,884,429,633,607,831,434,332,571,889,205,833,189,910,250,664,
682,021,538,227,169,633,111,735,197,174,433,497,622,684,324,174,334,933,730,
121,069,702,602,767,311,108,448,848,950,644,697,717,877,523,898,310,485,794,
076,371,883,066,723,836,646,789,120,274,497,626,995,069,624,771,960,819,199,
113,434,932,676,426,610,514,769,342,417,668,616,289,110,135,032,788,404,923,
002,742,535,264,796,079,516,930,742,310,410,055,937,256,167,851,199,961,399,
910,000,327,070,768,338,320,915,171,603,801,689,325,178,696,303,013,210,008,
039,243,957,989,677,841,385,805,865,218,665,141,806,434,808,022,397,307,714,
862,052,979,692,518,207,198,017,965,800,320,423,542,917,204,170,173,606,216,
966,388,897,772,294,634,462,404,685,810,006,631,403,417,261,813,071,253,116,
443,607,065,222,039,843,568,375,022,734,596,148,641,806,122,737,834,721,585,
098,948,756,869,081,378,986,187,643,908,271,069,779,530,250,645,287,603,849,
115,191,032,279,336,188,799,840,029,733,799,067,432,087,138,864,288,411,199,
823,929,911,557,700,014,885,863,439,318,475,566,619,205,993,016,459,460,766,
837,807,668,802,224,184,582,970,380,067,590,124,836,159,083,079,166,142,048,
542,235,284,900,225,836,634,996,769,590,155,176,480,489,657,364,479,447,332,
260,238,162,862,848,994,121,172,445,050,932,155,351,442,798,521,231,313,536,
195,830,529,008,061,372,129,684,065,993,944,726,756,310,652,665,170,430,575,
193,937,611,416,122,870,881,261,827,725,399,608,485,444,521,927,965,218,922,
307,720,901,018,328,955,401,361,127,817,518,019,185,559,333,222,164,369,026,
803,749,375,295,338,995,651,431,704,500,067,038,451,067,176,446,677,731,972,
270,187,060,649,170,440,481,252,751,297,755,894,363,977,283,705,559,723,668,
313,410,263,138,024,666,316,179,408,041,661,329,017,083,301,900,644,847,224,
971,832,814,594,095,545,114,811,248,439,448,386,648,926,859,273,162,806,552,
436,310,532,302,813,035,247,691,691,905,079,348,672,297,047,706,440,256,940,
431,973,892,674,575,431,482,589,007,522,880,816,581,586,705,416,385,973,490,
228,978,734,562,648,129,612,113,929,236,641,741,392,761,365,394,997,582,401,
083,394,575,045,018,111,901,162,431,973,326,253,895,810,275,860,158,655,416,
499,336,987,047,864,474,450,821,420,263,868,138,808,711,592,149,505,130,636,
547,519,480,815,536,343,893,912,078,286,855,735,439,560,750,657,640,525,006,
556,005,601,222,575,828,590,244,122,352,205,905,109,133,142,494,283,938,239,
779,002,075,929,785,050,291,303,581,822,882,711,059,265,371,217,977,593,106,
351,893,817,155,398,747,059,195,706,015,812,064,613,232,334,071,248,338,353,
346,948,100,079,707,607,015,156,950,761,655,559,015,511,019,203,483,272,455,
110,364,463,495,483,258,955,347,591,947,678,326,450,487,292,811,283,678,046,
209,710,198,473,516,043,029,194,715,515,925,641,332,856,497,621,214,849,692,
086,281,092,205,852,782,631,559,796,534,825,729,941,598,702,121,575,265,925,
742,163,711,057,295,484,264,348,601,150,500,255,147,208,426,544,062,942,348,
152,422,003,132,727,859,434,468,437,393,523,090,283,720,418,071,521,207,565,
966,046,426,694,805,951,600,752,277,324,017,177,837,105,778,363,443,978,582,
728,043,645,410,635,961,474,587,618,846,162,219,776,934,473,671,555,558,025,
318,294,018,483,579,572,234,980,208,663,446,004,599,381,372,118,561,548,517,
801,745,290,608,179,370,853,891,721,214,836,125,108,799,637,760,337,192,893,
727,568,332,420,227,768,945,153,679,318,757,836,097,594,863,286,009,500,523,
451,893,747,929,927,156,458,301,121,457,222,380,146,285,553,991,063,128,577,
436,362,865,350,465,678,210,710,227,551,467,481,216,784,564,935,761,262,603,
354,310,788,403,608,311,788,037,673,576,460,073,200,196,834,137,856,891,761,
098,456,034,759,259,164,021,398,532,418,034,862,191,922,922,867,198,001,655,
993,352,327,260,623,136,619,855,326,885,649,924,224,922,256,781,096,659,362,
138,141,033,143,550,134,409,966,206,292,399,744,980,912,891,728,772,458,343,
479,965,400,737,925,465,248,035,410,572,002,396,001,401,438,762,692,365,414,
940,723,505,163,772,465,539,908,852,227,284,292,853,857,853,601,715,137,034,
406,335,101,431,089,451,347,981,502,152,548,789,232,369,082,412,117,167,353,
302,827,277,535,834,369,915,440,035,468,094,470,015,087,601,572,433,175,035,
899,989,591,121,333,336,923,466,536,442,840,248,280,777,311,891,166,121,745,
926,174,079,768,762,152,039,176,769,181,613,207,861,630,974,246,594,950,175,
359,004,232,712,467,997,755,159,989,837,004,613,131,819,673,306,311,065,692,
743,151,746,769,895,724,992,480,331,172,739,556,712,984,187,259,312,429,929,
607,281,169,188,217,269,740,524,077,852,748,924,261,292,683,396,818,902,935,
108,014,394,261,807,215,476,412,679,570,410,843,742,865,801,015,897,651,723,
959,111,296,102,730,065,708,746,195,606,981,691,410,201,855,928,011,729,097,
178,100,998,353,942,729,002,565,846,525,498,633,609,942,379,854,377,388,460,
887,652,446,391,087,789,093,751,153,575,636,662,620,984,929,515,276,872,360,
596,989,727,007,521,386,178,540,418,846,237,919,292,578,772,455,966,700,371,
692,888,290,858,904,781,978,142,260,638,289,774,740,637,504,637,747,043,228,
970,648,565,971,363,892,520,417,937,860,472,031,942,308,126,759,008,478,309,
279,684,319,358,476,589,512,318,636,933,683,536,409,976,833,843,967,872,150,
104,048,545,894,092,475,064,694,126,959,978,220,722,388,292,358,551,739,077,
230,086,998,789,592,179,655,875,854,615,475,100,232,444,201,872,173,964,504,
119,372,941,381,616,788,864,923,603,600,964,074,507,242,544,260,693,196,759,
236,045,382,524,769,100,457,440,380,788,394,407,297,414,366,603,521,702,409,
380,599,980,672,984,201,809,301,262,936,484,666,577,271,400,848,078,413,916,
420,605,518,310,755,940,595,292,868,055,440,168,320,964,823,915,214,917,441,
179,416,146,896,147,638,664,976,213,277,592,450,785,909,386,489,685,855,802,
511,498,241,440,702,901,716,500,888,072,821,204,742,217,873,919,998,063,786,
010,172,069,295,960,718,805,255,102,010,412,935,180,283,035,156,982,355,064,
441,444,668,682,657,741,853,412,589,855,671,892,077,647,175,982,160,503,872,
378,579,567,822,612,304,832,733,008,420,390,078,300,263,952,132,059,534,805,
247,572,442,998,574,857,379,038,503,761,940,871,210,085,405,899,398,829,371,
966,659,683,466,406,980,341,230,260,759,875,477,501,235,203,030,029,224,942,
940,154,861,041,288,788,274,646,911,718,795,703,458,394,508,230,177,603,342,
060,032,706,756,120,653,816,983,567,164,169,180,875,594,938,495,278,896,896,
103,021,539,841,164,539,533,466,827,179,702,539,894,407,575,515,953,408,740,
473,753,423,390,764,539,002,314,440,880,595,060,633,319,354,945,587,725,890,
793,492,312,683,011,435,470,015,756,619,940,820,694,456,907,560,842,244,349,
398,495,621,407,341,189,154,807,053,978,936,965,327,929,595,112,311,288,257,
342,781,069,653,520,072,713,538,567,582,906,155,241,162,596,740,401,875,704,
625,500,473,238,822,344,343,593,515,101,225,897,305,683,812,628,585,873,323,
029,183,937,910,441,510,328,821,314,720,078,280,999,254,582,191,166,875,843,
655,167,737,657,517,913,983,150,758,384,070,447,786,937,249,226,359,092,286,
499,625,141,298,199,201,125,253,944,700,625,541,505,607,242,774,394,891,065,
303,231,061,916,964,239,070,789,202,238,310,928,313,373,088,355,527,953,828,
386,685,836,446,363,222,646,328,349,045,867,584,956,121,665,487,078,479,658,
951,029,150,000,313,245,962,202,427,951,509,477,330,059,755,200,108,612,849,
999,522,061,695,891,306,266,999,351,686,148,451,570,409,877,995,434,689,144,
391,993,565,435,941,399,783,200,516,838,946,774,305,014,553,762,185,992,903,
132,874,557,502,339,203,504,992,565,371,647,802,683,946,701,380,004,501,259,
840,592,296,878,697,807,854,856,469,241,337,531,832,355,279,831,350,123,519,
371,753,328,467,162,693,612,873,720,272,913,690,087,719,369,564,135,890,867,
304,729,383,559,633,447,682,182,622,330,497,018,904,328,384,198,075,612,483,
160,046,631,237,038,290,729,087,805,653,282,137,516,035,740,387,166,308,003,
824,124,378,438,606,629,710,285,267,668,526,951,747,916,246,150,561,675,256,
983,635,279,089,240,617,755,133,662,377,045,781,960,108,564,476,645,220,154,
017,067,942,747,160,725,814,764,562,453,237,739,739,468,593,469,843,248,562,
461,818,536,253,705,037,364,687,693,042,879,641,231,831,195,146,199,258,802,
373,581,479,665,437,358,024,927,547,044,229,571,150,006,968,456,111,328,461,
525,156,941,285,339,958,072,298,234,821,123,506,398,473,125,300,502,858,470,
058,903,774,278,000,174,283,146,332,859,514,928,697,285,126,995,951,567,610,
221,083,268,533,576,708,397,038,466,596,617,930,615,712,898,745,721,760,214,
451,727,483,362,671,488,642,217,272,932,977,282,299,156,935,376,765,393,787,
321,698,358,052,266,788,270,727,379,140,566,762,313,125,481,816,385,457,802,
680,335,814,861,374,730,140,225,286,333,626,698,374,078,673,253,843,695,079,
394,605,116,888,162,272,447,157,091,169,181,508,974,739,216,782,804,900,960,
925,838,731,395,354,873,380,816,506,007,366,728,270,436,073,856,327,519,950,
117,580,033,898,040,660,430,549,866,912,975,505,014,189,976,798,297,708,345,
530,174,404,650,621,363,344,570,807,626,733,041,598,635,136,779,653,339,108,
177,057,573,856,471,663,125,457,337,911,726,591,722,945,567,785,489,305,225,
904,769,665,195,623,914,704,749,395,382,683,522,270,667,739,894,955,716,205,
528,640,829,791,864,103,092,190,297,147,149,079,894,921,742,854,272,339,793,
993,876,323,198,082,376,730,861,315,821,524,655,047,948,026,795,798,351,298,
374,566,689,491,643,575,957,920,041,086,717,933,293,819,548,700,170,617,270,
095,213,676,219,255,756,716,804,440,983,230,143,599,781,941,089,885,528,384,
719,665,348,021,801,875,934,203,365,714,195,068,944,446,789,575,826,636,374,
659,924,013,609,055,230,789,042,053,549,833,957,929,232,662,204,016,401,688,
124,725,597,880,098,393,182,268,864,889,906,560,448,363,342,307,240,498,396,
678,629,071,948,622,525,332,691,026,588,400,185,022,178,949,891,794,900,284,
113,879,444,175,312,895,505,692,785,856,638,938,208,301,147,977,487,363,383,
285,861,875,649,221,855,825,714,099,318,754,835,034,870,608,858,393,083,293,
576,845,281,695,970,764,618,956,733,712,380,887,987,800,576,393,875,381,572,
586,371,213,305,055,424,152,031,917,572,455,927,088,452,153,293,585,095,293,
673,643,960,926,638,103,891,017,476,764,094,198,845,308,244,904,887,892,584,
406,410,718,940,242,280,914,301,731,268,566,416,461,594,754,068,225,439,364,
007,502,013,574,215,638,640,579,915,167,941,648,464,697,351,511,020,761,812,
427,442,865,258,414,806,098,757,883,909,617,824,298,996,856,909,028,716,845,
320,727,543,876,636,502,513,414,156,448,851,208,008,477,843,951,154,528,809,
582,852,933,672,909,196,765,009,725,811,181,389,489,544,738,135,051,080,963,
303,190,587,868,568,448,569,618,780,335,279,903,309,610,923,752,870,173,075,
965,617,981,984,497,896,277,367,674,385,291,885,418,385,329,596,584,590,901,
958,968,878,957,370,038,439,216,437,498,273,165,141,305,417,971,120,109,447,
964,566,899,481,313,120,738,183,937,703,293,528,469,279,254,087,334,055,535,
281,925,477,126,013,676,139,307,961,426,643,895,588,046,162,669,969,266,744,
651,972,708,238,787,492,112,022,393,078,676,252,579,300,243,157,193,233,927,
148,389,910,297,233,807,237,381,407,071,904,147,470,532,280,352,152,794,753,
896,539,899,810,525,432,616,343,148,650,224,577,884,705,604,860,690,628,326,
728,136,404,814,207,531,977,596,165,693,193,890,889,933,302,895,345,351,046,
390,538,883,781,652,313,064,844,226,870,500,578,902,235,286,380,355,499,960,
972,127,869,346,423,291,094,396,840,605,424,405,676,329,592,226,427,114,334,
866,679,133,935,603,492,575,452,346,057,281,008,234,402,507,251,712,404,998,
654,999,362,166,044,927,232,743,508,507,023,711,847,442,273,982,759,565,059,
413,948,934,480,971,338,772,767,072,479,737,845,974,694,920,331,339,802,676,
292,542,429,124,834,122,129,905,974,600,757,170,987,339,341,118,081,204,809,
007,631,968,627,666,175,801,242,940,365,160,616,693,385,502,490,410,023,178,
332,763,372,561,044,338,126,398,968,652,602,828,614,891,172,153,469,587,380,
272,447,553,991,911,471,996,215,609,338,747,740,590,220,049,293,874,321,070,
362,790,750,454,880,087,118,004,175,660,403,444,182,135,807,374,699,143,519,
941,958,963,264,344,601,581,406,381,201,091,494,936,196,201,875,376,088,195,
731,744,073,460,045,913,193,386,701,246,084,257,696,050,122,805,721,590,036,
760,287,968,163,750,347,853,500,659,299,252,962,219,797,240,978,160,196,161,
758,166,920,467,623,118,523,754,803,614,957,906,294,135,849,733,209,086,802,
399,651,419,747,409,367,134,583,332,739,833,752,800,558,171,168,263,529,804,
072,976,270,071,821,194,003,565,188,988,133,049,243,184,806,886,625,144,286,
433,037,625,091,560,415,449,137,616,346,975,342,128,586,085,794,804,014,899,
588,764,654,586,415,254,306,511,345,414,967,398,680,081,790,662,132,241,171,
530,726,725,788,986,039,669,325,954,152,495,204,439,766,375,292,782,877,342,
911,247,842,151,727,218,039,323,781,192,545,150,688,774,934,518,658,089,908,
230,615,318,238,693,690,665,986,241,330,510,803,713,414,492,804,561,363,514,
812,191,761,982,845,128,584,476,177,198,307,215,175,495,357,741,131,490,579,
272,978,502,141,845,619,784,420,653,330,765,984,777,326,428,482,820,533,122,
853,800,600,665,248,232,504,572,869,427,817,400,184,972,940,580,481,421,316,
167,665,689,434,727,984,968,368,026,861,650,954,612,703,868,687,693,731,000,
743,486,370,861,856,523,635,009,787,344,727,290,167,726,751,453,621,033,061,
416,483,608,618,615,118,188,370,142,425,981,329,984,887,891,263,843,455,531,
764,882,163,673,866,493,607,312,691,298,309,017,947,855,585,292,214,245,128,
510,459,627,879,405,576,919,967,317,496,596,673,662,196,859,915,307,293,502,
563,278,053,630,903,667,494,345,777,881,249,099,454,291,339,451,962,197,773,
471,165,990,461,505,427,733,045,201,691,602,583,292,298,052,446,366,625,617,
392,065,816,333,497,905,926,285,882,340,133,245,315,306,842,944,896,501,262,
362,376,859,454,075,085,749,603,689,102,001,865,933,556,593,348,557,852,327,
442,161,126,739,347,038,342,398,955,204,243,499,746,979,182,268,238,393,402,
116,004,886,563,175,306,401,452,209,975,121,159,309,454,766,262,200,860,931,
762,149,560,539,476,731,726,187,089,744,430,188,958,445,241,016,299,314,882,
707,364,900,589,870,544,605,858,750,290,398,862,657,382,525,666,100,646,958,
475,123,923,156,407,691,290,975,162,479,122,618,109,329,260,499,306,096,351,
958,646,929,480,828,881,163,940,613,034,480,105,478,273,955,419,403,396,641,
149,196,813,593,893,223,070,004,336,055,506,523,474,988,019,999,254,794,357,
429,657,285,043,907,302,496,969,209,985,183,703,586,898,836,481,163,646,009,
634,751,197,960,576,870,188,920,999,268,638,547,028,635,946,972,594,386,578,
959,843,736,540,054,851,907,119,823,412,263,873,320,703,823,254,983,088,168,
997,269,966,920,366,628,986,356,231,269,634,500,472,979,444,547,699,301,592,
067,874,327,844,439,486,754,634,128,941,902,837,226,492,560,318,260,795,358,
891,167,399,267,554,324,972,705,649,492,525,420,489,544,084,279,290,524,606,
014,084,173,586,972,433,565,913,348,617,666,919,731,935,778,771,933,419,221,
899,153,900,219,853,557,463,133,733,574,457,201,124,671,422,896,182,778,130,
500,175,546,266,998,630,164,195,404,146,232,295,895,151,678,228,876,290,399,
836,233,995,935,390,209,472,295,598,006,409,926,515,804,583,537,858,064,835,
464,651,684,389,172,095,069,080,364,266,293,901,120,984,600,530,133,686,677,
852,291,640,032,891,849,944,315,148,402,956,160,683,122,359,602,023,618,219,
471,594,637,323,481,529,139,113,432,982,096,664,885,141,994,384,075,061,852,
335,262,980,446,166,603,149,575,412,264,558,829,580,977,268,557,692,554,531,
974,760,675,007,978,070,538,245,454,961,939,681,074,213,759,747,359,041,963,
414,073,481,370,087,206,337,636,343,735,245,556,288,565,904,671,380,943,653,
666,350,524,227,159,043,874,801,419,564,634,703,640,434,706,568,428,819,941,
284,572,389,660,214,901,825,091,877,361,562,024,574,624,818,049,834,912,581,
635,208,027,690,177,596,525,410,411,467,894,800,126,562,964,241,109,920,173,
339,960,721,774,176,888,272,017,222,495,023,522,763,329,876,988,772,949,550,
802,970,345,991,589,157,762,599,154,310,501,340,416,772,673,549,281,112,028,
603,871,647,541,862,081,665,571,498,742,512,386,979,470,018,629,557,716,536,
244,520,855,189,687,127,026,457,066,877,621,943,981,224,699,801,206,323,148,
220,079,057,857,480,926,757,811,067,835,325,765,972,125,151,047,191,204,105,
915,361,949,261,918,788,896,261,938,529,726,870,721,618,364,976,941,225,617,
697,126,056,697,209,481,686,065,869,494,556,921,003,191,537,865,983,004,193,
764,982,344,507,831,889,970,082,154,736,593,003,180,866,196,993,590,946,567,
298,541,490,224,677,674,356,938,355,454,639,928,655,965,216,351,194,956,763,
759,578,339,618,650,817,932,784,019,907,044,531,794,159,779,771,383,374,514,
298,741,497,672,874,521,234,572,387,607,446,328,708,331,436,750,742,157,886,
424,349,158,274,910,805,224,619,070,047,676,635,703,194,012,084,016,512,671,
841,349,613,520,795,434,314,161,975,091,261,553,841,231,958,539,018,192,512,
465,047,430,847,783,375,306,350,692,491,482,849,884,569,336,028,161,056,127,
922,134,041,764,311,956,943,152,111,241,564,048,300,701,503,063,139,625,834,
011,413,666,956,742,435,431,063,161,583,367,502,540,501,193,139,207,923,181,
297,655,070,790,280,845,146,484,947,029,225,160,703,674,852,061,010,524,898,
331,340,766,604,982,491,459,759,703,254,404,630,580,981,721,085,049,236,716,
643,363,510,737,842,230,860,117,927,507,160,657,122,677,198,405,753,868,392,
281,701,207,753,846,185,636,685,836,985,635,338,451,249,140,964,149,463,260,
727,388,322,370,404,181,476,635,372,295,308,386,186,320,059,260,140,299,555,
090,250,505,632,574,808,523,531,720,897,943,856,259,000,332,658,970,377,546,
423,574,033,092,816,803,160,106,575,406,525,685,171,638,684,866,308,127,647,
630,339,061,933,068,573,991,024,405,077,479,174,922,578,767,643,643,131,224,
024,479,309,263,009,719,525,906,826,272,853,414,205,049,162,378,499,469,166,
903,730,872,275,400,975,764,021,043,823,729,164,104,016,904,863,664,697,995,
994,965,560,771,252,957,365,106,765,454,039,912,703,466,367,600,531,186,864,
670,155,298,252,842,982,402,826,895,601,208,194,440,377,879,087,887,605,682,
823,625,215,391,681,463,443,345,693,907,779,442,150,477,997,330,150,203,079,
154,110,294,577,197,748,532,591,749,283,835,135,777,644,092,325,121,589,746,
652,538,778,712,088,033,085,547,598,564,195,140,928,396,401,687,402,369,705,
941,565,004,695,254,700,338,735,207,100,849,607,243,551,009,854,209,618,326,
937,027,556,808,309,629,887,198,672,813,000,066,261,073,658,483,782,190,440,
876,385,183,833,340,620,930,162,964,714,957,999,733,536,268,736,410,779,255,
269,302,253,966,595,902,000,862,661,612,528,494,798,137,659,359,801,283,869,
191,453,505,521,247,431,507,028,859,025,645,431,378,983,617,062,207,926,262,
915,751,699,559,514,509,598,897,135,214,990,918,650,257,458,645,813,006,047,
169,834,648,389,844,038,525,085,710,690,384,582,294,283,536,378,724,642,408,
635,253,958,779,941,792,800,242,530,511,820,096,523,257,018,392,591,420,347,
684,241,290,221,304,881,073,041,683,431,871,537,168,194,165,128,699,233,715,
252,298,802,961,777,250,944,164,290,703,253,133,672,104,200,610,810,963,987,
536,934,259,425,700,917,326,155,776,968,030,679,360,510,037,504,480,705,932,
107,455,972,489,317,293,610,479,063,486,866,737,377,543,723,117,047,962,047,
366,204,240,805,350,455,206,217,199,008,548,631,006,676,310,903,825,021,512,
299,051,256,681,624,167,486,200,419,367,607,938,757,199,383,076,794,319,861,
177,163,989,724,337,181,172,564,058,906,924,676,169,306,085,789,969,055,006,
160,606,821,831,984,384,546,320,054,576,142,773,674,486,848,229,124,304,873,
769,111,851,709,170,721,888,056,855,332,275,591,406,475,303,787,091,831,757,
784,437,107,332,430,217,664,110,663,078,896,259,071,300,205,996,714,272,646,
631,777,531,389,309,918,967,434,555,016,548,497,964,143,302,768,508,239,312,
918,809,397,004,305,279,673,535,578,917,320,354,172,354,938,486,766,343,919,
433,503,314,943,699,751,612,717,748,394,273,845,634,602,325,877,108,618,732,
791,688,563,597,788,170,916,694,073,482,809,183,592,356,691,196,674,676,479,
648,433,243,917,296,115,876,436,348,470,609,238,070,549,591,005,616,805,127,
645,720,391,788,534,656,831,302,701,511,753,333,197,031,411,859,765,395,530,
952,900,726,701,226,004,238,549,112,723,177,168,741,653,868,753,585,104,170,
310,067,946,257,591,567,601,926,029,571,344,645,996,824,720,741,947,267,953,
616,427,300,295,909,520,680,168,171,224,940,546,576,744,888,882,305,954,304,
670,348,621,608,436,596,131,577,745,143,747,663,310,563,215,505,747,734,611,
209,088,871,037,761,598,706,883,885,783,789,125,132,698,141,211,544,673,394,
682,636,171,470,003,072,694,876,543,123,492,121,905,262,558,932,114,467,643,
419,275,999,658,891,514,400,512,602,837,145,293,205,594,695,037,691,104,129,
641,014,360,618,899,090,429,499,635,873,347,704,910,323,082,202,306,341,762,
031,812,777,746,787,392,995,166,803,216,222,665,149,364,691,592,239,688,333,
029,218,286,071,576,780,677,330,982,246,605,092,000,230,806,312,078,477,907,
471,895,845,137,606,291,869,414,268,170,008,712,301,436,288,299,605,093,921,
313,111,377,890,711,204,232,063,574,545,068,783,066,197,330,503,678,673,461,
323,371,153,369,744,259,999,395,420,990,000,096,821,011,087,314,504,969,258,
875,342,945,717,028,615,068,738,572,658,835,100,611,235,437,588,590,022,734,
191,255,042,314,582,073,042,078,236,111,385,760,460,378,404,664,281,071,299,
667,276,439,960,423,389,648,152,366,753,391,436,809,191,488,483,078,452,187,
802,364,354,244,953,385,064,875,567,659,721,697,577,592,272,205,394,085,661,
336,850,797,401,890,719,278,667,347,396,508,849,554,937,102,157,581,095,848,
092,902,629,945,015,126,488,498,302,522,301,957,364,976,807,010,270,450,722,
430,493,499,523,049,182,858,344,267,472,243,894,720,711,633,785,425,005,759,
776,012,005,170,373,895,078,482,169,815,285,720,821,250,005,285,232,867,504,
322,785,134,745,522,530,082,167,049,097,182,421,310,321,937,923,009,508,511,
309,422,081,197,971,037,973,817,114,320,091,948,494,499,221,636,710,864,658,
644,381,713,943,422,718,803,362,648,847,342,281,769,750,559,553,444,995,494,
282,306,505,041,396,445,649,257,935,881,054,156,401,204,953,605,668,834,566,
548,795,811,924,790,551,110,917,947,925,348,896,718,245,818,284,751,601,963,
782,568,385,712,848,900,107,023,896,059,772,398,807,090,466,619,786,779,742,
682,485,678,725,433,738,730,779,918,494,075,811,726,780,049,092,737,742,221,
773,762,581,381,816,683,850,100,942,947,629,802,153,531,363,058,825,337,030,
653,150,974,551,983,780,196,252,214,868,414,291,142,407,040,784,513,566,966,
493,645,243,350,322,839,663,485,974,959,745,760,672,691,183,279,038,088,448,
834,656,128,835,142,753,138,380,374,071,301,390,255,070,758,462,869,563,280,
176,035,909,238,430,577,765,498,844,904,320,793,550,793,252,293,525,848,865,
290,925,792,611,380,995,015,395,679,599,363,178,103,919,446,078,285,661,776,
010,232,162,472,864,523,240,920,070,045,531,408,932,262,480,322,326,628,169,
305,780,360,795,071,407,227,762,220,424,902,707,782,413,793,242,562,563,853,
896,754,317,848,867,487,091,443,088,449,967,884,312,791,631,260,354,944,003,
672,101,073,165,835,470,689,985,869,763,088,818,105,517,467,725,552,859,761,
422,859,356,413,136,266,740,001,477,249,402,794,218,750,544,031,891,551,137,
672,200,461,582,246,632,637,577,672,680,884,719,456,609,700,311,498,220,708,
916,919,551,690,110,184,535,218,444,534,879,279,320,831,476,605,412,944,996,
680,226,091,613,930,737,581,066,500,645,724,136,611,366,187,292,932,331,019,
162,244,778,764,872,705,468,331,500,939,465,356,961,052,566,737,802,880,312,
101,350,662,837,024,400,028,493,889,032,264,780,379,520,974,005,515,760,040,
077,494,218,363,095,993,129,718,292,505,806,257,549,093,401,003,229,106,985,
423,767,012,923,756,032,755,286,953,146,622,564,108,822,147,588,929,073,939,
932,416,877,603,976,039,209,840,306,536,364,277,344,058,750,018,657,685,733,
012,464,988,451,933,382,680,382,105,381,220,854,059,658,345,438,678,904,214,
834,264,342,027,614,027,386,974,220,275,020,204,314,104,325,928,434,743,915,
641,647,174,255,820,818,600,281,009,592,570,229,715,056,746,867,722,300,604,
067,681,947,101,736,529,539,877,577,555,957,072,526,472,078,231,364,398,184,
411,016,261,848,115,802,708,070,166,749,899,178,040,791,051,120,563,544,381,
261,598,089,208,032,137,190,563,349,585,684,023,333,245,873,883,129,301,323,
442,530,755,256,031,113,548,213,747,753,168,439,160,200,999,592,462,175,725,
791,704,689,806,828,503,804,021,647,948,447,152,520,739,555,572,809,514,625,
013,882,158,357,680,294,784,657,859,825,011,767,558,198,425,181,302,986,514,
617,122,591,717,702,991,130,502,393,735,644,339,774,310,015,933,028,492,709,
557,780,894,160,680,114,457,125,041,724,838,812,577,967,892,391,287,991,519,
602,414,264,550,600,239,332,403,950,293,884,920,478,546,825,359,320,086,109,
106,345,500,167,560,437,405,075,927,404,584,142,047,679,690,892,889,818,639,
330,110,917,825,075,523,065,704,702,026,715,163,334,141,371,174,054,602,236,
236,623,027,610,795,745,700,027,996,336,766,786,419,361,881,819,419,695,286,
710,717,795,136,863,492,827,105,773,742,358,974,322,698,873,245,149,882,904,
706,851,245,638,562,454,840,591,332,494,485,836,633,519,506,705,822,648,971,
521,743,464,490,544,365,686,748,870,424,244,012,775,896,790,439,832,020,354,
562,811,901,054,473,264,862,915,873,081,481,422,876,447,525,754,890,469,520,
935,857,834,147,715,949,839,582,969,294,263,022,831,401,902,198,100,561,746,
153,765,070,287,698,124,448,135,900,451,462,823,107,723,028,602,198,448,836,
063,385,015,880,542,888,307,511,741,005,421,022,296,445,467,824,450,746,833,
004,617,819,573,594,164,541,627,387,638,692,890,281,645,461,430,814,503,667,
644,197,427,992,915,562,066,792,886,514,857,983,358,381,762,902,250,795,297,
117,836,913,866,570,510,632,332,161,530,942,927,622,477,855,425,637,843,834,
584,583,435,709,605,900,134,457,928,332,448,145,911,906,513,693,246,066,347,
984,324,038,838,103,478,550,639,655,680,733,718,833,983,876,369,453,856,320,
332,659,160,889,326,797,713,168,259,364,076,753,813,824,736,443,000,574,660,
364,415,307,390,270,233,890,535,568,052,638,852,211,601,038,759,352,489,746,
109,671,383,729,959,451,456,851,200,862,026,033,745,170,825,237,363,709,129,
225,970,411,824,929,713,780,270,006,908,986,790,034,913,426,745,645,321,100,
090,868,226,825,802,026,196,620,787,211,227,411,090,310,430,870,750,095,823,
594,848,689,483,661,288,336,964,270,345,830,491,501,766,679,762,290,286,806,
878,725,464,517,663,540,924,781,853,529,946,289,663,420,644,109,692,040,455,
823,515,269,896,738,784,953,309,707,136,876,631,288,494,474,620,300,273,312,
237,570,984,676,578,511,310,461,000,112,675,883,800,701,069,218,891,217,323,
750,313,923,889,365,143,917,721,625,427,390,064,753,975,110,158,729,835,073,
200,475,176,520,462,140,727,114,641,814,666,749,046,199,773,926,325,289,909,
306,703,914,356,896,654,486,022,455,235,119,182,256,381,649,164,629,861,025,
751,641,460,270,175,004,181,544,793,254,714,816,243,124,482,194,692,284,109,
019,006,115,296,619,560,413,887,596,985,627,249,247,898,139,035,929,337,375,
982,999,872,526,378,924,763,953,053,916,157,928,821,251,050,278,604,902,334,
877,252,680,156,192,175,579,699,051,913,408,514,127,975,121,838,848,405,644,
635,044,673,156,906,670,209,647,722,158,369,287,839,721,366,702,887,259,110,
958,941,783,695,943,680,186,079,517,519,969,118,721,218,400,391,817,044,407,
172,911,192,178,267,769,680,305,461,082,484,404,859,219,814,282,413,467,681,
720,346,853,266,499,160,253,898,553,760,076,105,596,199,968,949,282,461,520,
277,668,952,154,757,356,657,632,425,137,213,140,757,896,781,164,740,604,780,
338,792,927,987,707,142,417,781,279,336,803,932,319,020,691,885,258,542,666,
213,726,910,436,160,833,383,478,801,345,110,817,590,118,020,665,807,419,058,
196,199,643,017,012,171,647,654,566,552,324,861,382,140,046,603,118,296,059,
598,854,838,709,707,479,628,629,428,875,390,810,619,416,135,339,239,606,322,
776,593,193,122,732,095,294,164,795,014,786,571,653,140,803,566,458,185,635,
221,570,806,546,957,935,921,428,194,631,693,551,602,683,037,835,039,952,618,
328,822,352,896,956,057,080,829,709,688,979,868,463,458,913,702,665,319,125,
108,388,868,556,751,141,963,462,114,185,538,019,055,861,068,749,798,228,434,
045,720,181,623,790,777,110,148,009,428,340,247,992,060,692,432,343,366,075,
428,365,580,222,426,681,759,638,991,009,887,073,762,102,189,318,992,179,547,
478,380,724,306,337,881,779,570,275,581,910,413,425,701,026,926,979,738,972,
566,721,872,122,420,651,182,925,572,430,861,758,056,220,799,910,337,535,422,
102,909,913,296,359,515,358,167,928,345,620,571,422,222,756,294,872,396,883,
104,939,410,341,107,659,097,114,674,143,826,452,680,040,699,539,232,526,316,
694,449,397,164,592,003,618,936,316,590,649,162,011,228,000,791,418,891,028,
044,497,071,383,076,531,923,092,609,245,963,560,697,183,771,253,766,645,717,
437,805,227,579,034,873,927,818,867,277,805,791,400,610,101,347,341,342,764,
235,133,452,714,043,078,967,542,987,571,114,939,142,280,489,043,460,517,307,
712,621,275,755,865,128,796,029,364,273,200,497,354,377,147,245,068,545,825,
346,722,820,920,565,216,741,603,151,352,683,337,936,449,586,372,809,031,528,
971,911,724,610,808,461,082,719,311,810,256,600,207,466,920,724,635,990,214,
936,294,551,554,232,495,112,735,595,789,221,180,361,433,809,679,852,123,464,
184,436,809,630,801,332,859,394,241,249,655,501,536,880,115,678,151,123,638,
066,455,403,668,654,341,971,806,395,766,421,969,854,683,513,424,948,206,995,
282,964,399,384,094,046,539,949,048,524,072,232,041,535,266,439,175,886,840,
600,937,805,931,446,174,309,578,111,764,845,200,923,392,178,381,372,342,045,
161,676,622,385,183,030,971,353,209,480,171,864,757,313,879,750,880,483,840,
732,200,774,676,543,105,705,329,039,080,205,090,086,287,764,034,941,629,450,
210,762,890,094,373,694,443,486,837,388,836,312,251,199,700,686,898,548,690,
738,989,041,622,028,240,359,680,764,664,142,879,438,212,722,071,394,832,843,
922,961,939,627,911,641,467,774,595,458,944,763,329,052,037,491,253,915,619,
224,661,251,520,873,884,414,720,626,282,985,277,014,726,036,815,591,852,858,
977,923,266,037,508,643,951,925,099,572,939,521,244,192,904,265,420,466,692,
908,348,215,049,672,775,263,716,957,387,741,664,453,775,128,804,359,699,180,
277,507,706,976,786,891,628,905,422,678,167,497,879,416,166,974,349,256,967,
490,275,631,767,103,286,742,396,295,136,310,987,967,948,315,742,677,849,746,
501,080,190,303,672,365,568,607,676,948,536,307,258,389,381,958,664,293,326,
390,237,223,733,424,703,328,152,365,723,762,375,709,159,138,143,447,867,379,
456,846,520,727,540,273,520,621,005,379,835,882,720,937,272,557,410,251,086,
619,116,264,599,584,898,891,540,748,228,059,945,645,963,713,351,610,092,529,
346,876,329,205,820,019,990,202,211,038,905,304,296,254,289,071,414,145,718,
013,478,666,523,701,462,397,872,441,722,093,872,139,319,593,259,141,366,450,
513,875,540,090,789,532,577,348,983,989,270,178,495,303,571,124,808,525,092,
343,998,106,703,945,161,961,039,267,661,185,880,322,106,562,624,033,283,409,
991,756,033,259,799,573,085,723,046,589,255,457,156,304,685,664,907,990,522,
078,068,494,046,565,320,343,784,585,859,781,178,248,915,881,548,289,827,205,
770,426,968,368,089,713,420,423,608,901,962,764,156,872,864,939,851,156,646,
453,773,160,714,346,408,895,046,926,851,338,039,632,382,538,474,450,920,686,
769,696,977,259,534,619,861,502,031,122,165,547,302,144,954,245,571,246,616,
084,262,565,632,814,443,765,511,692,962,034,769,440,041,548,325,914,105,369,
112,394,449,725,377,961,590,029,407,479,060,059,317,138,848,510,478,792,939,
893,175,006,835,363,939,937,800,118,248,990,464,234,863,066,060,423,823,485,
209,705,804,792,708,188,181,229,610,656,195,346,662,651,517,229,827,893,984,
810,450,105,521,020,343,544,276,746,688,881,361,881,844,193,072,444,845,884,
238,677,279,880,109,242,495,468,064,465,898,236,503,422,199,925,890,260,349,
738,265,658,008,141,311,903,771,526,407,173,180,922,235,544,285,513,402,086,
448,086,250,957,154,541,043,846,104,829,413,961,270,338,221,342,790,356,459,
917,047,908,027,622,363,767,100,014,444,450,564,310,817,340,044,496,744,717,
437,374,267,158,855,374,092,241,733,700,364,174,890,441,376,619,867,829,684,
384,408,242,986,002,283,407,402,184,400,395,889,537,084,942,950,408,961,916,
355,317,556,598,415,854,147,514,621,363,103,934,381,724,064,784,656,490,329,
565,491,748,003,095,552,176,507,854,525,068,506,537,576,130,343,623,152,307,
389,122,706,174,255,661,277,002,360,734,344,179,764,473,838,579,518,973,010,
412,768,391,857,544,619,214,015,269,677,818,226,611,294,583,690,480,156,089,
732,385,457,210,871,315,684,667,616,193,223,750,722,117,142,546,810,566,283,
638,764,350,781,122,376,813,432,567,031,921,201,669,933,081,122,173,305,837,
542,019,086,118,557,361,602,163,219,016,954,708,037,920,035,206,947,730,250,
941,807,661,986,989,801,335,586,448,672,465,104,311,307,200,695,500,612,428,
046,258,908,068,853,704,584,023,405,459,965,047,192,786,938,279,481,013,429,
051,533,161,961,706,555,904,872,919,598,212,280,241,294,354,513,639,331,476,
903,995,395,291,971,235,555,224,692,335,141,859,921,108,615,084,135,508,219,
023,718,490,306,676,442,557,561,194,961,167,105,067,078,538,827,835,890,604,
329,420,342,785,037,657,796,381,913,758,298,646,854,812,140,384,337,439,111,
910,951,535,957,319,509,140,707,675,082,704,252,441,632,248,029,784,049,560,
417,371,437,252,562,475,976,844,117,958,946,483,080,981,283,442,426,982,266,
899,816,518,592,280,769,875,718,232,799,559,443,932,755,432,491,660,511,423,
563,072,119,752,574,093,733,217,218,388,703,835,118,303,273,533,943,792,883,
280,709,230,397,966,291,591,080,806,815,589,227,588,258,502,163,075,226,321,
499,750,700,866,423,323,989,222,789,045,559,188,152,316,649,769,393,823,958,
471,700,784,977,515,598,604,463,485,286,684,178,012,708,279,420,201,898,245,
530,014,338,887,117,290,378,884,828,073,848,623,076,557,429,732,499,280,522,
995,940,238,885,712,556,652,174,548,769,342,033,331,907,317,088,227,307,166,
148,180,709,393,524,954,533,128,221,864,081,833,606,791,399,345,570,164,878,
918,655,578,926,380,744,258,033,747,914,069,466,770,361,011,611,242,284,207,
232,594,106,499,153,664,493,586,601,768,617,336,322,872,833,902,620,910,057,
531,655,559,771,557,635,274,251,684,105,813,753,414,200,129,714,516,340,899,
303,929,833,853,163,781,959,147,348,969,086,082,548,677,889,506,012,621,152,
413,515,930,192,573,241,553,700,199,307,711,500,937,652,674,973,733,618,336,
177,113,447,017,771,711,424,791,134,698,270,602,439,334,606,204,970,387,510,
260,572,246,321,592,104,346,848,537,323,950,426,147,102,804,996,400,894,980,
486,487,984,320,686,480,643,140,040,002,412,419,978,116,637,990,271,338,102,
244,069,548,162,613,951,939,175,440,986,575,371,951,588,676,296,402,018,319,
565,965,676,936,696,565,918,659,667,375,433,658,191,206,562,322,157,654,074,
352,540,338,923,289,729,737,627,187,157,351,698,514,810,480,708,747,529,890,
173,899,846,304,986,926,119,536,543,602,691,551,080,643,085,286,832,913,267,
567,711,659,071,873,508,929,412,744,629,844,942,667,075,536,434,769,721,013,
606,326,764,933,610,799,552,872,627,982,378,303,885,136,932,068,188,912,124,
475,599,407,552,858,725,943,636,905,286,749,338,045,242,385,259,528,348,409,
746,727,867,786,781,303,973,339,485,966,114,268,775,754,371,107,239,809,742,
436,068,899,448,694,912,162,452,816,445,668,701,267,286,101,015,911,421,722,
656,585,872,607,264,745,681,619,844,604,416,441,012,967,192,485,194,221,279,
307,408,914,717,884,967,892,297,357,582,341,275,264,035,564,721,456,906,093,
584,290,411,110,602,724,137,633,530,395,279,790,778,435,613,257,226,890,261,
552,110,114,738,817,930,720,692,120,895,130,202,612,132,981,448,464,134,107,
312,842,160,092,178,914,892,064,774,117,355,291,900,519,363,160,126,899,614,
664,805,187,847,403,245,626,673,271,357,340,673,426,982,246,176,226,643,933,
494,955,730,818,829,301,430,124,860,102,005,907,792,709,671,483,156,113,308,
427,378,030,048,279,642,580,860,956,581,888,712,032,149,659,309,049,406,348,
691,544,419,713,231,738,473,650,087,424,978,905,644,218,755,381,059,576,866,
818,292,773,431,118,327,632,245,429,924,621,352,466,195,301,196,948,169,772,
055,857,113,589,391,338,179,886,883,586,349,439,395,661,622,636,305,671,492,
381,026,587,152,561,254,250,070,309,941,711,101,317,734,116,816,220,662,649,
722,344,178,298,853,303,142,365,030,674,536,520,180,600,238,094,159,577,225,
062,462,084,358,215,848,022,323,789,152,861,761,274,894,123,885,827,934,333,
665,243,737,735,317,247,780,597,555,155,627,559,601,265,949,797,058,075,903,
958,256,591,588,554,789,012,528,353,275,929,169,790,190,749,334,537,688,088,
333,527,256,061,755,055,552,599,264,590,448,105,263,116,696,128,592,431,505,
758,969,535,334,541,066,700,880,223,737,343,332,570,672,966,317,851,857,146,
961,858,721,775,651,190,303,993,128,860,016,789,689,654,239,415,314,424,344,
005,175,220,047,200,598,140,909,135,021,390,472,983,131,765,073,719,929,765,
724,778,232,657,272,285,040,109,371,797,613,585,562,401,382,802,940,231,235,
462,823,240,284,713,859,630,521,352,909,468,170,968,877,055,022,230,914,676,
393,832,540,268,158,833,364,718,726,082,799,099,613,009,386,023,719,363,120,
007,741,445,536,495,404,100,015,847,803,995,175,242,479,555,629,034,951,980,
676,110,780,768,420,127,439,228,669,202,137,439,427,681,799,560,586,897,146,
011,976,484,431,802,651,917,710,840,789,606,668,750,310,458,583,772,318,367,
536,619,096,151,984,555,522,981,187,595,033,578,979,468,536,658,075,628,759,
483,591,149,203,704,208,939,152,576,048,063,873,124,380,117,282,142,835,395,
285,736,544,148,706,557,774,722,381,736,514,577,507,359,684,852,733,051,088,
173,353,185,047,283,241,349,105,769,788,346,331,344,050,426,523,038,856,067,
675,193,915,478,583,289,989,217,226,667,507,535,308,849,356,415,465,610,629,
102,211,519,239,597,578,190,919,411,432,234,463,757,571,324,731,457,892,465,
127,895,102,679,911,802,542,667,303,676,405,856,437,839,932,002,798,186,889,
161,209,114,387,683,334,246,450,937,283,773,730,484,079,831,817,416,162,402,
226,280,235,503,111,062,879,897,557,966,790,264,780,692,237,067,927,596,901,
776,812,847,307,820,767,767,983,644,293,854,836,225,440,308,393,451,478,860,
056,599,611,086,730,222,043,091,898,203,789,427,343,157,613,796,291,331,137,
314,152,477,563,589,127,976,557,280,415,778,989,605,729,240,886,905,619,109,
592,925,592,784,101,334,091,094,444,533,706,051,766,977,370,699,040,731,219,
631,993,224,245,928,673,808,308,790,118,741,770,825,876,772,971,567,729,694,
703,588,982,005,425,221,958,244,357,513,742,884,919,510,361,004,386,394,043,
652,501,933,992,304,639,332,542,662,902,227,633,664,775,393,245,922,224,517,
561,616,301,965,370,213,166,654,488,629,921,542,080,625,164,580,471,288,241,
767,377,415,721,804,611,359,071,516,948,761,304,492,535,616,269,336,819,165,
242,516,235,263,812,780,246,298,086,590,611,254,685,561,595,921,881,654,922,
261,700,206,279,804,322,003,898,551,721,273,432,512,625,521,891,852,661,151,
388,050,449,571,789,726,882,368,863,378,882,596,843,486,508,337,222,039,372,
092,164,462,243,031,986,768,201,545,974,169,370,056,429,269,002,178,224,794,
883,078,788,892,213,139,169,763,091,734,441,570,616,298,831,619,428,666,004,
289,448,581,287,118,941,653,402,990,807,766,095,203,527,478,978,948,172,702,
903,430,764,011,388,756,102,729,336,712,540,898,103,227,861,333,086,794,016,
389,115,691,355,345,354,224,537,983,518,290,379,726,395,332,261,082,963,956,
308,216,634,159,714,056,923,896,526,790,520,805,872,111,189,886,044,619,058,
526,591,456,264,762,053,570,802,330,643,444,677,500,210,143,231,590,490,134,
315,255,202,577,571,249,766,435,953,588,405,237,858,839,455,429,788,643,551,
131,272,995,062,352,347,889,281,461,797,982,097,763,391,340,303,922,486,936,
897,219,508,761,066,007,260,772,490,725,267,654,143,056,590,728,779,529,248,
495,352,539,328,007,039,523,488,267,506,607,514,505,611,224,184,657,824,909,
848,307,862,223,053,717,008,180,196,122,015,437,456,795,625,726,001,193,735,
723,054,786,706,994,351,008,818,681,935,675,385,640,788,761,550,984,744,064,
138,773,524,228,987,199,401,137,537,116,967,786,523,894,306,903,774,418,197,
641,901,013,774,209,107,986,677,253,728,795,776,806,711,621,797,644,415,989,
881,614,778,112,684,113,132,713,145,713,702,313,612,414,780,254,013,628,648,
623,748,598,122,276,853,310,482,052,654,865,696,207,742,655,069,161,083,994,
591,967,323,561,967,972,572,985,833,984,299,834,960,546,616,842,776,681,846,
405,932,029,013,295,165,390,085,460,605,204,328,589,557,787,040,032,783,312,
976,670,894,629,492,042,760,056,139,741,704,965,187,059,932,502,492,731,747,
343,545,311,775,552,162,141,819,140,861,290,611,423,436,966,523,912,838,870,
662,353,144,797,394,941,128,800,711,214,387,382,997,181,898,069,912,549,552,
580,922,077,548,265,347,586,379,230,056,327,875,092,205,835,501,888,336,785,
051,674,132,848,429,250,552,676,963,196,477,958,683,951,159,028,299,467,330,
816,491,903,410,533,199,279,828,686,344,832,920,850,208,135,188,430,112,988,
744,713,907,837,747,125,721,552,806,905,639,590,097,142,086,814,698,504,267,
811,333,702,011,544,092,894,259,553,676,165,693,360,199,985,443,140,507,092,
766,377,517,858,048,422,041,148,897,290,048,206,144,019,986,529,718,077,975,
666,983,828,924,164,010,037,464,162,317,577,816,487,532,464,206,271,351,717,
938,740,761,378,721,466,800,222,432,870,485,734,300,688,397,711,280,685,056,
712,566,642,820,515,167,224,833,951,914,393,440,728,313,573,110,601,300,828,
084,639,402,731,685,240,383,746,458,700,482,802,224,652,564,523,851,268,280,
561,585,124,242,881,825,080,246,766,390,316,316,955,499,584,331,227,879,947,
191,383,948,144,555,660,968,228,143,183,917,792,086,598,098,720,022,480,075,
217,345,571,205,827,327,622,245,050,947,708,600,759,642,321,630,128,425,867,
802,855,467,642,574,655,336,269,015,238,696,344,464,877,805,990,325,871,115,
491,528,029,848,872,406,390,088,524,193,241,688,443,970,955,490,160,632,999,
646,580,997,956,478,027,202,227,472,461,281,165,074,044,818,868,204,310,641,
566,602,834,284,689,621,396,389,505,829,323,442,414,578,821,484,659,324,846,
233,565,853,715,785,948,676,786,130,406,540,042,013,101,960,723,637,907,334,
048,085,692,679,768,417,603,806,847,668,120,475,975,416,777,283,409,302,064,
409,112,128,714,462,185,805,239,704,163,784,697,280,616,229,396,443,846,601,
938,880,443,405,610,058,803,761,799,336,185,043,902,462,237,889,421,142,359,
025,189,014,802,462,587,812,848,449,913,298,931,151,236,150,267,183,802,524,
543,566,787,437,206,070,553,213,595,510,961,888,473,848,842,361,990,961,818,
509,513,954,259,522,521,189,486,940,291,079,905,015,451,820,270,661,236,508,
786,524,578,224,572,746,907,815,823,812,435,861,699,757,992,928,290,585,196,
479,554,171,185,632,036,010,392,656,605,841,403,977,449,235,075,502,448,022,
255,222,786,545,601,855,873,244,009,426,454,224,987,643,664,811,652,454,123,
835,223,170,674,498,168,060,852,470,103,018,870,350,809,562,698,267,293,281,
535,126,111,828,938,679,999,882,184,101,710,156,614,712,733,511,320,413,663,
481,233,093,796,498,946,944,308,587,899,816,939,562,803,614,867,115,062,379,
065,229,678,106,655,153,888,308,887,841,325,800,683,621,602,973,737,914,983,
201,746,411,929,487,162,880,049,824,404,624,405,421,106,926,421,416,836,922,
146,563,236,865,566,904,605,791,204,870,176,023,021,344,508,926,903,939,365,
713,194,882,241,361,515,615,016,277,081,844,320,814,397,128,928,088,182,278,
017,572,006,969,809,928,218,176,134,729,090,241,002,256,577,695,460,407,591,
313,701,141,008,659,128,619,013,381,668,363,603,418,908,015,415,629,834,371,
329,453,283,923,868,906,354,360,459,815,518,840,259,537,107,836,326,354,663,
682,881,411,815,515,823,308,364,970,883,556,361,736,824,687,054,300,034,945,
831,645,463,729,498,507,558,422,219,792,879,709,499,752,830,649,061,598,920,
424,170,692,186,857,283,386,052,995,070,602,819,575,930,793,770,289,420,143,
444,236,443,076,767,624,222,624,787,589,863,508,148,358,793,504,488,325,782,
769,595,334,580,903,591,868,144,633,804,283,065,843,525,575,039,023,103,336,
107,843,553,613,851,189,790,650,673,583,616,644,815,544,614,963,261,533,270,
261,767,460,234,956,164,814,543,696,021,273,910,197,990,003,034,482,541,470,
350,147,084,892,692,042,970,581,959,781,797,012,754,937,361,251,025,209,672,
128,160,440,143,229,456,307,495,190,654,410,889,431,301,550,624,804,867,177,
922,948,367,128,626,409,232,780,735,622,401,573,747,145,982,052,937,747,241,
053,393,050,002,654,644,227,000,582,086,927,794,145,489,940,933,567,288,069,
513,421,546,091,919,785,606,323,791,815,940,957,874,423,204,323,248,782,713,
351,341,684,639,384,539,565,520,733,599,231,911,703,392,353,623,278,608,284,
578,718,075,286,103,668,385,213,345,322,080,890,697,808,707,131,649,713,650,
650,653,430,259,686,716,880,691,078,537,431,128,768,316,449,414,087,709,610,
416,444,730,292,583,302,633,977,503,297,584,190,095,643,340,635,594,343,364,
252,169,809,557,086,412,495,648,900,300,588,193,990,639,816,322,212,047,078,
769,158,159,191,626,998,695,581,136,810,848,706,604,132,331,811,067,665,210,
670,938,406,482,709,628,006,838,669,166,896,459,748,939,020,119,830,883,049,
659,189,326,454,236,684,735,729,234,565,686,957,291,217,120,625,105,551,669,
673,179,177,358,943,105,161,471,519,510,395,433,220,460,466,354,299,444,332,
230,545,990,410,605,476,261,508,912,889,175,212,384,374,043,764,117,898,296,
420,105,985,507,467,701,897,126,012,288,855,291,685,902,287,626,009,241,342,
493,631,386,024,069,269,764,835,474,188,501,332,021,119,071,740,821,268,404,
113,308,601,919,654,708,946,430,864,013,242,719,303,267,707,598,973,446,258,
796,785,503,124,700,500,872,967,936,453,328,010,679,374,909,423,976,708,443,
381,216,028,851,019,826,600,123,024,139,971,698,250,633,884,057,878,093,023,
132,585,570,427,748,613,276,981,683,135,997,868,001,743,982,766,042,471,842,
929,157,598,995,674,238,369,567,758,912,746,393,202,534,226,560,300,190,347,
874,337,419,092,057,995,304,708,778,188,232,543,622,996,499,844,325,610,724,
975,741,576,982,066,292,063,000,200,528,836,270,807,822,323,677,370,760,513,
108,951,423,480,980,327,101,928,580,533,730,892,391,452,302,952,685,105,798,
899,558,759,600,576,039,888,471,252,194,255,854,014,299,840,168,712,296,860,
214,831,417,506,625,909,435,429,897,261,299,139,906,346,366,266,717,939,392,
646,287,647,505,384,806,233,078,038,336,579,768,757,654,017,678,130,372,273,
943,758,072,633,877,355,319,144,044,475,426,456,045,913,460,782,184,616,648,
829,594,617,317,797,378,171,875,015,442,433,091,837,500,317,116,507,357,038,
297,075,672,449,298,215,381,672,461,296,361,837,343,094,644,999,837,862,152,
152,173,164,192,540,196,977,613,214,137,378,970,467,368,748,937,371,942,566,
030,758,653,142,241,044,533,180,700,543,154,448,832,839,150,113,852,416,993,
924,999,290,045,215,195,583,688,023,928,831,758,467,638,804,718,038,658,296,
051,256,296,794,856,008,277,329,695,569,044,738,898,815,778,899,809,404,981,
816,120,258,604,320,667,825,279,704,929,925,241,011,490,297,514,490,953,117,
562,413,721,467,096,880,397,801,641,935,561,617,768,884,859,490,185,298,405,
583,159,987,971,419,884,999,801,325,109,592,150,082,033,654,442,799,518,061,
735,475,105,625,899,523,453,656,190,811,338,786,822,098,877,098,992,043,863,
122,750,689,733,834,302,968,115,934,159,429,906,598,328,111,829,433,882,900,
443,737,275,308,839,677,270,874,745,517,980,830,450,908,366,606,225,481,088,
017,253,398,002,321,500,527,687,960,889,887,839,635,334,423,626,565,657,225,
781,294,381,239,580,048,396,341,417,199,365,423,150,575,281,526,249,536,191,
865,423,335,864,202,439,075,448,994,851,836,484,285,054,610,500,277,911,404,
533,289,700,953,207,899,478,776,563,495,852,507,932,733,528,938,400,520,964,
911,278,201,392,079,500,355,754,526,312,802,117,015,200,854,937,618,825,379,
960,228,393,778,401,621,074,892,631,711,016,921,542,279,954,160,818,651,427,
184,670,588,014,762,296,641,383,741,343,307,292,007,598,658,763,573,254,405,
662,488,945,820,315,099,729,457,023,873,050,097,714,983,376,060,079,447,596,
290,570,615,651,390,859,902,469,315,858,864,916,561,359,843,928,062,333,815,
043,610,115,823,452,144,611,069,651,342,655,638,943,734,178,671,671,286,012,
118,779,358,953,250,746,539,791,916,422,772,967,128,702,581,981,576,001,195,
776,358,386,233,351,835,744,413,265,137,395,937,715,302,745,321,757,386,010,
480,330,584,431,457,583,408,801,475,194,614,844,276,514,776,022,928,994,973,
202,974,469,418,983,148,781,241,603,358,194,646,369,540,065,766,481,100,461,
875,353,289,813,344,637,986,401,471,265,751,847,927,326,741,752,538,431,359,
362,014,357,973,778,912,670,879,614,279,531,915,882,134,329,981,222,443,226,
669,724,876,141,875,993,878,195,551,751,673,201,350,371,811,109,016,625,026,
187,122,420,181,693,596,421,615,253,926,323,919,977,814,247,206,264,177,089,
998,444,908,744,061,684,635,152,748,258,519,690,355,936,806,946,617,898,857,
390,720,945,032,206,485,846,912,524,673,503,805,072,863,146,346,802,619,004,
604,036,652,567,730,225,918,724,619,781,054,221,932,241,424,520,468,857,928,
443,344,369,756,338,879,910,943,022,076,920,997,383,341,624,662,724,983,883,
402,674,011,977,557,154,031,946,220,778,158,224,142,157,403,363,241,427,864,
175,259,833,532,123,058,835,613,765,172,490,903,969,128,789,759,979,815,494,
763,457,003,820,480,502,132,430,202,762,379,281,928,763,047,509,783,117,696,
899,679,496,423,367,205,746,678,128,623,299,055,065,982,526,914,422,504,453,
981,823,116,759,503,467,905,081,472,113,398,404,149,546,718,881,096,852,179,
330,520,597,564,711,960,161,487,812,480,847,562,554,784,930,657,836,576,105,
955,424,771,945,826,054,503,335,809,951,963,209,854,764,139,517,500,144,667,
326,351,597,968,841,455,083,879,746,459,306,611,945,647,640,358,194,250,392,
299,802,472,645,930,842,724,970,238,872,381,559,118,767,955,238,750,816,169,
806,222,833,700,846,769,583,834,145,258,592,320,287,253,148,988,784,123,033,
502,315,231,846,629,209,994,571,125,651,982,764,178,911,346,536,158,385,504,
598,454,805,784,789,295,709,980,738,454,587,865,120,857,820,786,241,725,313,
781,218,394,235,000,915,752,473,017,899,052,259,121,131,579,314,285,140,723,
715,462,217,024,535,239,299,003,045,928,549,904,372,682,615,291,709,765,295,
218,639,663,648,080,084,171,287,407,806,290,418,155,905,102,376,951,353,527,
552,331,644,857,995,868,021,112,877,150,010,619,033,585,995,063,748,775,600,
731,325,957,738,805,636,365,550,772,106,936,276,738,950,964,896,407,582,449,
912,278,949,527,829,940,181,395,098,450,777,740,212,659,538,227,558,921,968,
898,456,393,809,242,282,121,680,933,657,309,525,920,240,523,141,527,575,812,
094,130,322,870,269,156,348,034,939,756,566,481,179,391,254,523,200,293,916,
002,471,991,524,784,655,742,813,234,239,779,865,341,037,811,210,812,023,494,
396,435,357,741,675,394,465,625,663,750,768,890,509,295,009,540,572,646,084,
985,547,226,625,231,961,372,270,844,835,124,817,151,902,204,429,342,718,134,
776,009,819,823,432,467,261,832,888,249,357,460,783,289,622,807,508,556,236,
146,387,464,953,333,870,905,417,240,578,661,091,972,138,109,826,368,646,819,
472,347,528,372,837,091,833,174,991,801,748,755,396,767,925,162,065,754,921,
505,727,682,238,094,401,042,942,369,241,782,903,236,607,561,587,347,360,278,
819,818,341,975,589,245,457,702,770,000,210,510,222,912,367,264,916,985,750,
446,643,911,656,347,719,324,157,532,895,914,898,140,770,062,628,415,770,821,
092,383,232,817,411,969,144,458,247,768,310,911,566,598,919,764,117,478,073,
673,839,809,036,008,784,538,984,728,386,035,825,639,915,995,538,338,619,204,
474,622,167,917,807,659,318,819,988,414,740,656,466,553,396,889,405,593,384,
386,023,505,396,630,237,179,279,084,644,838,481,492,577,293,217,322,126,889,
592,940,845,617,208,351,188,311,210,932,314,871,970,557,526,828,035,861,019,
118,044,013,435,525,639,257,184,859,838,620,250,833,795,374,355,216,244,593,
631,179,352,196,969,189,137,283,067,532,537,559,536,012,033,264,933,996,977,
186,622,488,285,234,643,551,973,229,985,749,572,495,153,125,357,914,737,381,
213,823,970,041,921,713,392,420,422,310,929,330,365,558,739,426,326,904,408,
561,702,783,179,905,358,365,667,381,675,138,862,410,596,484,165,764,050,202,
531,930,986,643,955,373,591,576,869,021,931,037,552,059,852,627,849,948,680,
788,734,149,566,936,422,415,902,643,191,354,991,860,018,617,993,430,296,002,
070,389,431,783,073,372,257,478,186,171,626,377,564,560,944,073,031,334,180,
621,661,811,524,687,190,851,027,797,044,759,684,687,104,711,887,500,054,296,
848,844,560,887,629,558,927,243,325,215,016,680,813,257,186,230,512,269,076,
495,850,231,412,588,006,719,231,387,856,860,874,894,913,573,833,625,767,052,
945,988,004,747,231,943,534,029,170,384,456,714,129,964,910,463,855,059,130,
924,972,476,267,183,700,934,568,984,656,916,338,087,587,542,428,692,278,955,
230,487,252,533,749,630,683,360,526,974,343,865,485,480,489,134,765,794,502,
797,024,878,680,814,631,452,236,736,768,841,443,393,680,830,371,469,660,477,
119,516,658,585,266,393,617,911,702,062,511,986,536,150,477,166,903,582,803,
078,984,792,994,693,606,888,140,247,180,021,190,290,772,389,865,140,679,747,
660,710,047,358,149,510,367,810,851,467,981,998,618,108,342,192,908,450,891,
154,229,126,799,548,137,639,023,958,304,901,509,922,266,656,582,003,535,908,
454,769,842,634,675,307,769,903,745,721,861,426,547,758,202,019,869,048,321,
657,782,863,720,229,654,780,342,576,855,631,106,066,871,767,504,667,870,330,
809,739,099,429,751,993,361,799,443,808,344,819,386,228,868,729,872,747,920,
272,586,293,670,843,851,674,628,168,243,453,631,498,467,681,645,634,218,303,
225,164,100,866,443,881,886,916,737,878,846,271,763,611,209,615,003,067,841,
141,754,405,245,653,332,876,577,813,233,723,893,944,020,299,203,644,368,007,
479,952,671,171,498,061,429,255,141,896,507,300,178,787,979,914,735,797,773,
223,961,043,647,567,215,852,377,607,753,199,033,070,512,904,741,139,153,778,
648,404,763,300,582,042,429,365,889,208,655,143,582,122,887,898,549,898,577,
342,210,039,668,680,997,960,822,961,198,109,110,973,159,022,959,444,885,016,
828,442,246,111,566,919,294,039,796,388,315,053,968,017,248,218,972,130,231,
533,248,303,735,476,608,023,152,347,922,822,039,849,136,954,377,115,424,873,
667,705,520,285,037,545,070,266,867,618,122,032,479,920,892,127,721,176,979,
098,539,709,532,018,608,824,600,650,462,017,291,928,891,838,543,807,602,776,
597,212,008,915,456,441,923,863,110,244,778,140,280,984,559,309,142,356,422,
177,394,116,504,685,928,711,131,842,460,774,906,352,484,548,293,771,980,537,
501,547,079,814,200,805,324,114,365,198,407,808,222,801,561,872,926,428,116,
529,613,332,764,027,583,430,096,251,218,024,280,006,441,013,481,611,449,862,
913,156,552,934,885,865,838,780,998,437,698,491,472,739,454,578,820,981,727,
154,950,265,889,054,296,441,070,676,255,502,187,571,795,698,284,842,010,067,
869,802,664,752,119,626,978,969,319,798,789,908,943,913,190,586,720,332,979,
157,326,871,288,965,928,640,131,024,813,819,335,961,266,599,493,404,810,386,
909,476,798,126,635,583,586,706,042,392,003,143,604,626,802,632,852,515,090,
652,696,593,344,696,526,702,300,216,168,661,467,819,178,056,614,415,061,129,
745,418,602,167,369,196,316,731,488,615,815,790,973,813,731,418,018,610,488,
772,010,554,218,018,182,596,610,688,242,505,309,962,126,997,537,958,144,553,
859,261,536,768,876,081,817,754,239,263,660,998,490,111,394,734,378,068,220,
768,398,390,952,682,544,203,393,605,961,506,462,933,137,409,468,181,217,859,
156,379,028,149,741,521,738,997,803,841,839,777,831,815,687,002,466,939,176,
580,892,547,027,530,931,768,732,870,230,197,369,051,846,992,699,310,746,992,
689,503,313,974,062,109,093,406,246,236,686,182,641,595,890,048,006,259,845,
828,825,702,382,595,604,057,716,804,563,326,351,326,153,080,390,452,341,404,
192,277,090,283,135,412,455,012,398,660,176,216,836,055,061,317,389,768,329,
112,297,445,540,760,450,638,397,144,507,496,172,000,065,869,057,079,081,534,
317,010,272,760,931,902,629,761,859,534,320,940,578,274,302,329,767,846,133,
885,981,055,377,483,084,874,506,440,407,993,461,246,174,206,234,872,847,166,
918,108,130,357,750,230,535,866,947,711,828,582,867,435,225,813,912,633,010,
199,858,915,516,485,350,651,494,718,389,664,728,394,096,557,959,228,970,643,
683,463,917,130,242,193,759,923,876,544,794,514,204,100,529,354,482,857,277,
925,720,938,454,811,259,888,978,489,689,084,892,465,151,722,226,286,580,711,
893,552,180,702,500,022,103,823,777,644,159,006,763,530,808,996,644,857,990,
615,596,466,562,739,103,452,841,709,552,939,615,831,372,992,658,926,243,044,
656,117,161,643,371,844,172,877,316,120,159,627,788,236,831,849,710,288,490,
751,274,004,971,676,147,516,381,794,413,912,271,425,635,659,630,912,883,647,
830,003,796,615,725,224,017,531,365,728,856,852,230,947,109,980,574,812,550,
983,245,685,796,366,256,279,729,107,133,162,066,477,366,158,225,016,497,235,
656,639,085,942,373,368,483,398,183,092,286,148,818,426,932,876,465,373,572,
513,481,744,909,579,139,708,531,763,283,781,808,466,579,732,825,662,163,743,
362,049,767,009,904,603,270,440,661,337,962,248,276,805,129,649,315,260,754,
987,145,414,679,015,371,770,095,021,567,255,811,048,622,875,721,441,439,635,
426,744,885,361,273,794,546,324,363,392,862,056,369,776,350,403,509,152,354,
186,540,677,580,869,113,953,320,485,517,219,046,173,166,420,790,562,714,511,
275,265,419,941,632,880,461,978,301,683,382,999,894,935,030,611,271,311,503,
195,908,777,117,186,563,120,217,287,663,363,814,955,757,789,697,099,617,677,
470,545,743,989,417,360,073,311,455,175,186,617,771,653,203,226,595,178,157,
151,246,522,086,754,573,633,519,173,672,241,506,189,549,794,446,492,336,020,
552,538,747,728,307,632,273,719,791,969,023,482,463,369,340,689,568,675,731,
795,929,731,189,066,592,650,261,425,849,249,986,320,018,735,976,728,035,177,
199,887,120,264,892,080,161,577,151,575,405,625,746,297,282,282,484,517,650,
819,003,157,186,421,135,017,201,673,016,792,845,323,261,746,074,230,314,451,
872,571,060,382,951,024,151,951,329,834,174,934,675,194,433,356,055,292,627,
539,412,338,831,495,654,039,769,144,253,672,920,884,343,556,566,421,071,430,
021,477,201,934,683,585,006,909,122,717,104,569,686,755,644,775,047,028,336,
376,519,489,373,924,519,357,001,770,882,483,596,786,771,719,394,588,646,287,
760,781,345,321,381,438,098,429,995,139,079,655,027,118,095,136,723,395,262,
174,944,518,358,843,540,982,879,558,196,571,843,177,163,681,777,923,019,473,
288,625,777,595,591,595,996,428,985,004,716,570,177,814,069,087,346,958,150,
691,451,636,622,453,362,268,355,327,006,178,991,677,277,873,531,381,831,064,
409,531,447,716,577,100,944,711,276,939,641,462,291,123,634,490,547,075,762,
919,243,365,374,818,659,216,404,615,213,308,849,328,181,275,053,769,866,652,
798,681,300,651,818,290,815,622,858,362,628,037,462,503,208,491,350,243,555,
938,793,309,564,934,108,064,092,375,814,503,904,112,028,500,159,593,510,675,
503,102,334,333,880,500,795,641,285,412,976,438,929,405,203,617,732,674,067,
475,581,044,277,199,681,362,807,213,274,210,834,117,906,015,410,980,507,821,
813,819,940,061,909,741,079,473,119,857,144,030,783,347,769,865,460,907,828,
308,030,845,901,005,772,013,471,322,288,825,991,141,029,155,019,813,401,261,
523,441,419,703,075,127,618,891,560,328,218,918,755,997,353,710,198,801,593,
795,668,044,150,235,706,254,654,109,451,792,688,308,445,601,136,733,560,355,
244,833,804,555,701,713,470,693,311,607,743,024,197,115,278,621,226,626,395,
448,668,190,180,950,105,612,743,630,267,258,782,832,662,963,963,646,856,368,
216,892,888,504,102,756,555,451,353,143,078,236,762,084,697,417,670,597,668,
394,779,298,757,938,023,734,287,366,662,742,935,031,241,872,987,581,558,475,
301,452,449,404,919,493,712,773,668,704,264,281,149,166,454,177,374,879,611,
230,997,234,412,329,799,230,503,266,911,575,588,275,173,047,685,213,573,628,
822,308,718,837,926,924,961,814,770,201,634,704,657,195,920,443,298,359,068,
058,088,762,735,144,651,344,352,311,450,285,041,931,488,927,663,796,690,383,
924,113,592,155,606,282,127,928,928,925,882,135,009,861,987,237,294,360,879,
703,126,428,488,087,382,142,892,714,236,745,706,970,103,069,813,675,571,357,
391,788,915,060,175,378,404,240,646,435,587,405,415,254,387,443,920,506,174,
848,248,876,173,967,552,130,021,714,998,662,175,723,663,886,069,786,871,770,
142,941,111,251,991,618,273,739,541,895,090,467,122,934,932,149,043,512,976,
743,143,016,675,703,571,111,607,942,887,092,879,911,843,034,115,102,186,079,
601,438,612,022,124,501,684,491,406,985,797,607,720,052,425,215,857,190,148,
062,841,270,031,400,700,081,456,102,917,414,539,957,221,235,505,640,629,510,
959,776,535,158,298,479,904,892,329,320,227,505,502,671,406,584,379,132,171,
245,418,143,959,502,010,731,777,389,220,638,645,865,825,589,881,958,897,458,
486,165,725,329,638,094,379,939,567,647,822,977,488,396,719,987,361,173,148,
225,136,703,697,715,873,051,848,780,318,084,304,104,934,430,331,762,623,724,
263,500,467,124,900,678,588,247,237,991,026,855,966,695,338,503,932,305,165,
807,035,444,711,857,451,794,002,022,318,092,276,768,484,130,716,021,336,211,
708,590,538,915,297,124,288,516,634,935,794,449,778,822,216,360,090,723,549,
377,872,092,224,054,925,630,871,868,242,226,138,941,446,876,992,102,848,699,
887,516,677,499,485,741,594,016,030,722,709,923,715,770,649,670,116,275,852,
735,538,892,569,463,602,533,638,278,702,834,152,905,182,447,324,903,232,724,
119,772,171,491,596,246,987,891,731,687,865,391,097,521,243,466,247,987,071,
436,273,729,187,364,727,841,934,481,693,530,048,366,080,658,750,180,182,458,
450,153,198,105,448,254,717,409,360,071,509,655,198,890,682,572,636,674,900,
116,480,168,160,223,590,665,064,805,892,555,639,921,542,118,827,023,586,897,
427,254,295,077,913,926,955,783,922,743,962,672,855,773,337,805,488,400,368,
043,818,664,037,860,631,266,794,578,942,306,764,803,990,909,994,396,449,912,
174,984,785,633,971,191,241,413,017,196,828,124,489,146,119,414,218,970,267,
802,402,124,625,132,593,677,429,378,091,675,991,660,958,370,305,684,967,023,
396,882,428,240,334,274,353,603,706,882,913,014,615,843,295,739,106,660,198,
045,305,368,673,353,867,314,003,240,353,018,838,616,983,490,560,022,263,981,
603,118,280,494,823,533,838,029,658,643,825,135,184,580,715,465,979,815,933,
661,803,954,094,467,749,947,386,287,057,751,894,364,922,253,439,378,550,718,
632,244,814,553,520,665,244,748,438,415,395,360,117,334,246,555,086,104,082,
428,445,083,558,526,658,008,613,180,972,754,156,962,821,120,399,452,502,977,
304,001,573,940,186,926,576,292,417,322,010,113,418,566,314,193,103,246,569,
696,248,175,290,165,958,562,939,343,203,518,625,421,505,863,108,355,340,399,
113,590,594,968,394,843,054,580,405,513,129,649,601,788,629,847,928,252,688,
077,889,497,112,626,512,726,698,767,926,038,181,739,538,120,867,610,330,150,
937,031,174,821,139,000,469,637,791,068,793,642,218,996,543,769,179,188,523,
829,525,579,545,859,948,727,903,204,987,152,967,362,890,059,414,244,533,983,
823,718,953,059,551,297,309,584,425,821,571,982,643,311,146,976,648,799,064,
785,591,045,996,055,143,526,029,433,196,629,749,559,998,799,890,549,803,864,
960,802,686,615,214,744,983,389,294,425,154,201,764,169,722,869,261,276,061,
153,719,376,616,181,390,319,288,586,899,169,469,268,420,881,496,412,477,779,
912,022,861,741,653,675,381,253,600,627,435,375,608,339,557,398,578,086,214,
250,345,308,287,237,502,511,150,650,928,040,576,118,554,662,345,783,523,777,
879,172,551,912,985,960,553,293,238,597,827,835,946,573,033,827,369,608,891,
457,972,385,801,557,631,371,483,717,392,676,393,630,147,390,119,058,639,291,
392,563,643,027,626,934,404,675,910,837,147,668,764,352,534,028,496,300,744,
563,341,101,380,672,253,881,054,394,295,336,219,788,393,048,536,256,763,612,
107,617,501,823,960,936,101,988,553,330,102,184,717,811,972,899,981,669,175,
973,723,776,649,242,033,374,321,152,203,650,451,680,834,492,929,812,531,270,
175,180,321,833,821,789,413,880,350,808,733,777,488,296,486,067,172,864,810,
809,804,723,779,455,640,445,353,514,910,709,627,127,552,255,095,554,418,727,
396,497,824,176,611,340,399,936,641,914,952,883,482,592,289,687,457,256,514,
376,379,904,948,018,893,364,255,422,108,798,415,802,483,870,600,260,980,263,
416,848,376,433,557,898,147,272,565,909,665,819,115,597,353,869,695,383,946,
527,893,503,214,081,855,764,743,290,220,719,958,754,756,976,211,450,247,605,
455,696,261,380,062,411,337,050,003,609,858,043,874,566,535,214,848,245,631,
979,667,328,676,926,693,660,087,331,964,928,102,844,427,391,508,358,572,644,
885,337,116,483,752,961,617,523,460,389,206,352,144,114,726,241,525,546,800,
556,821,913,016,544,983,030,069,536,755,567,206,259,910,895,951,597,596,544,
823,340,167,791,801,574,022,858,461,804,672,157,834,008,445,701,038,914,376,
195,670,022,312,533,045,587,547,547,406,228,381,466,811,993,400,962,407,503,
471,505,693,612,893,076,733,864,176,916,929,118,601,458,981,051,368,918,344,
855,282,867,139,590,444,417,888,286,069,541,576,096,735,730,873,277,317,337,
058,510,171,134,990,720,783,027,652,689,178,145,167,276,709,329,569,594,265,
058,677,321,937,677,020,029,630,589,686,326,009,987,141,570,504,217,588,715,
941,399,810,697,379,208,219,286,691,479,389,227,325,688,755,058,668,911,169,
074,032,315,499,667,193,505,655,136,262,523,835,422,341,954,223,494,356,872,
041,396,223,309,554,706,229,110,457,895,825,182,565,185,066,897,772,609,644,
350,290,347,524,340,913,179,107,965,326,263,473,354,511,259,056,142,092,691,
175,139,438,699,594,700,877,659,231,382,283,120,580,870,918,019,128,582,632,
538,416,937,017,314,421,495,961,261,667,538,111,960,006,389,441,212,782,676,
726,454,592,217,650,324,882,219,573,128,612,702,288,855,598,642,389,204,954,
712,887,111,424,840,868,972,075,267,948,274,313,567,364,519,876,304,417,871,
980,454,873,652,759,810,799,362,001,005,268,909,431,750,301,303,674,893,717,
772,290,929,578,619,742,413,094,919,672,743,091,823,746,036,605,551,356,049,
356,469,778,082,904,981,373,679,555,272,303,268,784,650,567,985,374,109,190,
583,431,781,216,003,154,073,762,704,218,303,942,814,429,329,796,404,308,119,
712,965,529,025,248,898,800,567,159,187,398,300,846,475,126,887,181,501,298,
793,387,810,411,196,747,054,006,075,466,658,872,243,121,389,008,824,838,258,
110,047,655,318,055,743,138,231,853,841,077,515,037,645,469,338,584,986,031,
614,255,305,621,397,989,812,927,827,756,952,714,899,042,892,213,741,217,851,
866,417,885,723,302,193,262,810,369,103,063,616,902,867,578,258,727,160,119,
109,041,735,232,990,182,137,445,080,619,904,896,867,233,027,246,978,683,668,
683,757,909,433,528,085,240,392,391,411,594,458,539,575,836,594,864,781,817,
316,543,378,343,727,970,835,789,501,814,565,069,174,010,184,057,000,823,645,
174,261,781,382,649,561,118,702,019,391,002,487,619,785,555,703,446,474,422,
552,416,429,358,292,199,966,498,468,337,632,626,330,685,486,376,394,623,640,
193,248,868,493,350,906,780,267,491,588,157,847,148,029,254,756,690,277,101,
753,228,629,561,350,854,151,253,504,064,687,244,316,859,630,078,429,555,866,
420,648,542,892,753,017,875,855,986,425,763,059,004,939,468,308,545,422,222,
463,417,258,740,834,452,070,279,095,909,752,828,625,061,759,318,900,894,001,
993,182,278,774,933,583,117,294,669,581,589,790,639,270,250,681,637,054,968,
138,587,138,089,179,146,515,956,766,454,100,493,606,730,864,183,460,402,019,
522,024,308,156,472,010,040,885,325,955,947,463,186,046,125,543,154,008,044,
567,521,308,577,742,804,291,215,122,975,354,373,788,012,484,936,878,823,620,
293,940,127,595,773,093,821,259,952,953,577,568,608,554,352,068,685,530,429,
729,909,210,818,806,526,556,617,072,208,629,706,664,957,037,942,240,705,235,
626,977,234,034,957,199,392,445,172,320,134,220,342,007,663,656,382,685,416,
173,881,916,039,150,675,115,598,222,690,290,437,871,068,506,563,949,503,489,
083,663,843,535,357,925,879,981,759,116,038,823,946,840,541,206,231,148,168,
444,940,134,883,346,556,108,053,866,841,439,936,931,530,893,883,356,618,619,
139,989,328,680,092,246,456,292,375,434,311,609,298,020,293,490,864,262,252,
678,126,437,163,363,476,339,039,787,483,263,742,093,060,475,590,653,718,999,
643,821,968,367,767,374,950,532,426,800,998,321,874,973,677,708,095,901,487,
468,027,741,959,520,833,627,764,737,454,905,873,801,721,820,308,967,406,266,
654,321,851,155,807,470,252,648,863,853,098,112,633,136,717,161,690,052,075,
853,705,262,485,561,023,147,256,476,379,265,965,607,753,529,087,603,858,934,
518,330,838,288,909,300,309,446,566,152,186,547,371,267,901,293,800,406,085,
710,566,065,314,666,350,823,887,155,184,265,909,779,512,197,211,035,864,126,
300,241,383,009,595,716,717,920,059,039,707,094,866,332,315,263,075,016,373,
116,360,588,101,160,733,544,218,061,394,985,306,549,435,430,783,445,866,151,
936,699,292,562,490,316,123,941,550,078,835,693,913,871,241,477,617,814,405,
804,622,740,119,141,424,050,139,134,956,276,834,739,714,508,325,777,224,768,
862,781,935,898,224,965,085,233,007,535,199,134,310,282,325,459,936,022,859,
590,319,121,713,896,876,162,889,279,666,800,333,709,472,812,397,205,633,040,
800,916,353,474,687,430,202,810,111,747,197,373,785,315,997,145,879,980,808,
513,950,026,795,313,083,883,202,253,881,655,883,505,109,603,587,620,497,412,
239,816,508,197,233,622,594,531,707,344,195,529,341,848,085,381,704,681,470,
483,440,746,836,711,726,820,867,424,362,040,786,671,816,776,276,351,661,131,
319,736,940,198,935,555,618,431,551,644,361,091,706,004,084,520,709,982,717,
458,864,724,398,900,769,834,437,681,323,362,248,222,257,591,697,236,913,726,
149,397,282,411,810,834,697,294,883,755,988,052,963,801,720,202,596,544,984,
374,148,079,069,373,488,255,996,988,449,664,893,539,975,928,428,677,978,830,
727,728,436,965,987,021,592,036,010,748,663,243,190,103,040,602,522,718,029,
587,790,701,379,280,240,393,370,628,268,341,122,704,869,198,143,537,091,784,
052,504,476,535,952,593,307,872,583,340,294,732,015,246,760,026,870,836,849,
297,669,187,508,632,523,988,264,097,825,121,375,211,654,568,650,859,466,684,
840,435,603,490,496,439,423,309,163,553,516,057,611,922,521,499,959,483,025,
577,400,834,022,403,123,747,531,351,678,849,328,885,106,062,179,092,141,662,
677,784,862,192,748,822,746,352,938,626,640,836,320,350,861,219,919,911,588,
978,871,212,157,358,418,762,597,114,082,365,879,110,969,209,226,781,920,303,
652,675,341,153,771,903,907,837,920,478,680,325,936,370,566,170,010,744,179,
199,750,200,259,258,110,419,049,855,142,698,520,458,152,263,031,599,994,459,
865,593,754,388,097,353,767,776,298,276,063,137,794,376,782,138,908,147,355,
083,824,615,737,132,188,737,291,826,346,548,537,772,279,744,111,974,814,293,
238,671,986,579,447,844,317,169,538,231,313,007,961,006,259,401,173,608,554,
467,387,063,697,626,255,447,192,649,739,549,117,144,087,599,007,249,545,688,
017,267,946,969,239,442,933,679,962,142,990,126,015,086,132,071,749,358,974,
257,690,487,645,371,271,424,384,347,289,004,477,229,565,334,624,773,501,138,
535,223,700,361,988,941,306,094,156,055,997,994,961,020,161,460,387,826,886,
975,343,435,612,722,493,368,710,662,663,706,069,537,379,369,093,282,726,057,
090,676,221,836,066,552,851,638,564,599,644,098,186,629,412,553,442,107,073,
797,997,852,558,596,886,406,399,332,977,250,564,410,008,701,396,976,493,334,
815,826,883,029,491,480,125,524,421,846,161,528,141,978,507,923,780,271,983,
917,658,873,160,482,415,427,012,822,419,646,990,555,130,568,524,877,376,771,
789,105,283,460,211,189,609,362,244,391,681,790,161,062,317,570,038,660,486,
856,296,426,478,340,471,385,793,296,015,446,328,603,008,426,136,775,315,008,
345,294,082,516,453,433,429,701,395,767,027,054,881,869,785,684,900,841,582,
043,663,262,052,665,470,882,778,806,311,442,502,630,240,539,333,248,110,124,
708,134,294,284,579,524,237,424,480,193,037,489,318,440,334,511,026,843,219,
200,539,075,711,731,557,987,789,108,025,284,599,587,093,511,030,399,997,372,
372,595,455,047,654,478,134,646,747,732,434,859,260,238,348,597,812,703,176,
885,177,700,471,056,098,486,793,566,438,820,719,991,646,352,102,440,966,265,
319,684,031,507,074,444,318,042,731,838,608,810,223,102,152,782,799,752,862,
678,758,813,847,109,854,245,645,791,136,070,788,385,807,398,290,839,144,064,
564,398,586,216,200,502,230,133,475,375,995,494,709,320,975,368,578,697,585,
342,300,474,020,685,199,996,489,842,212,779,704,062,724,320,044,516,441,400,
488,758,663,980,912,046,022,669,532,130,574,703,241,872,674,877,041,080,102,
314,449,151,546,893,608,491,382,940,497,588,261,716,566,392,034,004,481,163,
530,267,645,483,353,348,651,367,638,976,767,242,122,092,098,027,791,299,168,
271,577,438,313,023,637,374,525,624,712,082,570,991,919,921,562,349,515,924,
585,886,520,737,300,813,382,118,343,797,731,519,532,092,560,347,227,135,205,
871,804,077,721,471,459,388,331,813,924,959,110,700,563,742,257,396,289,211,
332,435,292,994,689,017,761,368,719,560,717,938,980,493,099,609,981,792,092,
301,148,105,958,283,271,988,182,390,137,054,930,501,523,198,548,003,189,449,
915,566,106,761,659,895,596,366,738,239,345,588,544,155,966,387,490,472,314,
499,698,565,639,336,389,104,255,141,060,037,965,986,310,702,057,339,661,168,
217,647,165,916,910,439,485,769,308,917,999,809,372,222,082,366,831,900,375,
374,595,579,465,309,212,493,992,625,093,477,231,384,822,951,064,452,847,560,
435,570,520,365,487,589,454,302,275,465,839,078,454,119,557,289,964,233,779,
131,073,151,295,423,539,458,158,162,887,515,884,900,776,555,777,727,025,984,
938,560,257,997,610,722,576,101,450,124,597,737,137,048,202,919,344,891,909,
660,700,845,220,779,371,188,528,254,361,074,562,599,500,119,556,005,063,748,
466,146,663,730,833,240,660,434,695,302,286,693,210,970,245,777,713,601,888,
129,082,997,381,677,327,421,188,029,608,006,945,219,888,546,254,520,790,489,
312,053,650,770,339,643,785,470,632,729,466,180,591,322,512,233,017,235,984,
523,046,729,677,365,092,802,899,498,423,714,921,917,300,387,199,273,189,217,
590,165,965,157,219,567,007,528,010,987,070,832,269,010,327,731,572,506,421,
066,284,646,071,502,396,191,176,526,080,519,207,117,177,431,419,950,080,855,
606,710,380,406,217,084,530,131,906,981,267,114,666,093,514,852,426,742,373,
923,315,713,887,193,276,689,185,748,183,981,361,556,325,791,810,175,375,632,
105,972,025,376,099,108,180,157,825,435,238,145,177,200,596,670,912,219,305,
274,092,507,460,573,423,246,381,143,459,881,727,761,503,244,953,817,766,711,
277,838,471,340,261,756,415,882,711,535,689,212,656,950,302,874,300,600,130,
868,103,920,532,892,530,418,841,329,643,807,573,171,966,233,434,104,124,571,
005,431,670,884,027,421,286,257,899,066,163,936,075,494,969,966,941,393,511,
243,779,023,382,511,198,485,065,215,766,957,120,440,423,057,204,380,099,550,
708,456,389,563,020,544,979,219,560,129,150,609,109,585,563,005,206,244,360,
443,151,459,921,286,456,869,892,300,976,250,604,373,930,581,681,313,375,711,
753,396,072,266,718,178,819,808,318,068,084,479,302,999,186,084,344,275,271,
159,485,022,800,355,263,825,964,807,524,662,003,886,359,331,019,114,428,389,
782,592,162,002,571,652,949,913,582,030,736,066,840,443,608,674,920,144,064,
271,080,511,478,806,214,306,888,337,018,751,708,586,281,158,777,526,954,950,
544,565,136,554,866,343,631,836,577,344,252,238,676,000,033,058,095,405,939,
760,258,023,190,679,575,584,502,722,375,466,549,710,048,519,910,783,936,401,
572,325,143,062,677,079,074,468,177,528,997,066,165,013,493,792,823,761,118,
362,639,870,393,891,860,126,631,416,578,750,406,773,945,056,787,683,599,624,
853,135,255,894,883,926,290,482,814,710,098,743,620,624,774,889,780,247,855,
701,396,274,414,539,228,054,168,190,961,879,730,318,006,888,575,613,818,282,
420,157,394,580,659,531,136,456,795,804,013,774,942,924,742,255,230,803,198,
319,243,012,466,901,616,235,803,135,604,189,724,275,485,125,030,167,636,782,
385,024,273,327,961,796,661,651,458,687,216,606,521,574,521,767,321,825,176,
157,509,951,466,393,073,568,809,233,888,856,103,160,209,040,492,870,528,664,
526,397,161,972,407,175,139,835,750,772,315,617,104,404,619,250,192,908,650,
397,999,684,726,265,762,844,452,618,873,096,554,619,635,168,330,273,249,929,
667,129,503,144,770,072,429,998,945,288,634,493,753,954,819,799,253,915,033,
374,617,234,812,240,782,485,949,064,486,574,152,727,947,546,909,412,044,987,
040,807,188,895,532,363,837,000,087,785,777,882,649,841,631,250,893,315,673,
572,768,606,927,875,679,362,032,104,145,950,174,759,343,992,089,737,672,423,
253,500,226,516,940,062,699,448,700,214,167,550,239,018,414,636,289,159,042,
043,726,617,089,419,434,889,379,933,088,403,873,923,623,410,178,100,921,020,
460,159,148,488,225,550,909,690,719,473,397,907,450,239,484,353,829,965,732,
188,260,571,394,439,999,627,854,065,372,270,453,916,991,626,075,025,473,018,
329,435,715,246,899,921,833,829,556,065,879,066,395,169,103,477,132,612,832,
212,622,963,048,161,509,382,410,061,410,925,454,536,420,451,508,080,594,976,
999,948,339,989,786,655,892,950,379,306,798,831,087,894,596,430,731,509,620,
034,018,607,056,208,530,028,078,229,079,218,460,287,383,509,043,272,006,227,
236,104,911,233,271,747,281,306,410,096,277,293,822,521,271,730,985,694,392,
798,911,277,241,133,214,898,694,943,820,460,943,287,192,244,322,264,315,460,
948,469,047,432,709,047,201,999,534,400,131,430,813,730,597,372,448,375,803,
109,067,883,135,400,928,713,156,485,517,386,142,539,759,714,533,007,603,321,
351,985,325,852,990,988,651,418,891,859,038,013,510,205,192,199,775,209,204,
027,511,691,163,394,565,190,188,481,561,062,755,537,898,349,781,006,861,593,
493,355,666,457,529,726,989,651,352,963,654,480,025,005,122,533,515,247,665,
049,997,944,816,003,318,243,445,866,608,176,574,610,144,481,964,523,932,712,
786,203,501,175,756,582,977,965,270,626,383,237,075,488,226,337,375,707,826,
858,357,509,091,249,018,890,194,134,278,178,136,913,140,698,941,548,164,394,
862,549,813,798,960,622,643,382,346,426,108,102,683,912,554,017,808,614,742,
629,290,210,675,769,234,576,251,216,959,885,231,881,457,719,400,779,225,683,
786,669,900,096,439,718,076,473,137,245,306,477,061,954,657,376,995,546,171,
299,677,125,421,319,900,878,569,296,797,074,720,084,774,438,807,328,301,033,
454,440,924,867,436,250,435,694,209,802,933,552,871,870,504,563,030,917,797,
050,870,165,484,765,456,367,956,892,121,203,932,674,836,669,667,283,092,239,
714,630,330,727,170,422,364,292,576,352,994,164,943,036,240,649,914,061,760,
129,232,685,757,979,930,234,228,536,732,078,465,353,658,865,241,414,061,374,
459,093,874,721,764,875,474,141,463,254,006,228,069,477,824,751,705,594,955,
337,336,723,669,351,343,339,591,032,123,707,508,819,505,173,884,515,791,910,
082,513,498,875,040,478,888,533,874,972,699,770,792,178,207,126,915,486,020,
568,480,145,076,275,374,440,995,496,980,550,111,627,195,705,557,749,067,453,
133,666,883,782,962,625,459,214,811,806,785,528,414,486,020,455,276,609,356,
044,232,030,364,503,228,647,967,972,911,599,900,851,966,323,142,535,887,083,
129,023,603,558,442,647,408,905,170,198,847,263,398,201,842,761,770,713,394,
044,160,740,293,813,422,152,372,450,721,006,771,591,192,101,602,382,239,360,
483,649,557,866,792,366,653,266,931,983,931,277,909,413,191,185,885,454,097,
672,844,218,918,064,807,551,371,867,778,207,377,048,046,281,302,601,178,999,
291,729,940,752,232,456,937,285,937,324,900,692,697,827,383,884,129,586,939,
676,660,281,191,294,965,721,288,562,088,762,596,179,075,935,251,976,362,230,
766,664,032,738,603,048,060,494,987,900,069,674,735,866,512,705,660,433,827,
492,960,795,753,310,667,662,375,940,855,495,846,232,705,898,839,480,189,014,
488,567,618,750,802,986,477,059,013,008,000,015,087,011,283,163,628,914,177,
187,471,656,916,094,228,057,458,943,430,635,192,580,519,917,868,482,058,968,
436,193,581,862,750,721,214,295,933,513,708,730,856,087,687,224,198,489,849,
605,990,995,093,555,430,720,026,575,505,735,556,236,388,879,693,167,401,097,
059,000,960,311,535,608,643,351,310,170,916,400,634,165,921,434,439,660,514,
675,406,643,395,909,812,941,675,201,879,419,134,776,955,334,184,052,415,930,
474,014,795,422,182,464,310,004,741,738,663,758,683,802,317,845,721,529,419,
022,835,501,549,194,105,585,473,416,269,500,429,228,028,879,220,910,387,157,
175,691,994,399,551,540,665,153,292,095,120,501,630,125,806,199,500,526,767,
744,677,689,752,725,167,793,970,609,033,479,634,213,689,680,553,355,844,871,
504,601,491,980,735,121,836,200,349,849,600,066,556,920,471,243,549,896,328,
634,508,359,653,770,386,809,724,811,168,664,185,988,347,264,260,137,697,161,
722,431,500,528,295,582,800,976,858,720,098,195,967,462,851,119,201,503,762,
330,809,354,553,175,017,884,506,157,692,515,013,129,906,927,378,342,242,465,
355,051,729,602,863,395,340,226,162,298,032,400,640,024,121,721,283,712,860,
758,287,725,770,866,772,051,935,969,437,170,620,434,149,563,935,773,605,729,
788,517,503,796,108,963,721,302,609,109,474,825,786,833,030,221,761,752,107,
120,275,316,395,662,313,040,456,733,319,814,584,248,299,330,927,134,230,527,
226,370,987,609,076,168,933,547,165,328,724,482,640,660,382,301,992,853,828,
329,647,597,493,323,947,822,276,945,272,909,355,986,741,346,863,779,618,441,
911,342,000,785,885,814,412,592,966,616,115,433,517,120,923,929,029,233,536,
434,343,171,935,156,776,455,468,565,635,734,409,533,140,140,346,097,961,412,
873,047,936,180,915,755,725,691,494,139,785,902,120,257,915,126,618,790,202,
235,595,526,962,826,796,635,162,873,648,204,367,502,619,480,093,972,241,922,
364,763,161,721,695,477,232,704,281,395,697,196,450,302,075,574,973,625,800,
291,401,937,728,575,710,770,755,789,278,030,947,061,868,521,471,931,311,595,
272,561,153,378,159,830,174,572,014,120,105,616,675,591,331,746,334,975,835,
068,133,542,704,450,821,727,323,723,269,911,975,421,941,652,994,245,875,382,
282,900,115,745,886,479,760,098,241,173,758,392,114,903,010,455,006,131,827,
742,141,082,542,269,808,601,540,768,679,315,809,578,892,919,115,705,734,943,
672,989,609,741,483,515,072,282,345,789,164,051,472,968,098,904,073,970,670,
650,842,716,896,179,635,630,287,021,649,067,693,029,282,199,232,305,044,178,
861,571,841,677,508,883,473,377,367,530,292,106,126,991,055,966,269,005,069,
416,263,804,491,718,781,508,312,113,868,838,262,287,643,361,542,485,500,606,
573,687,481,343,148,633,916,889,905,433,671,847,410,437,449,003,500,532,727,
786,591,776,051,524,412,073,517,317,756,701,313,179,275,074,808,135,155,981,
724,859,334,598,474,888,774,719,865,668,091,576,539,732,299,702,481,496,016,
372,410,098,100,594,779,243,247,624,851,272,318,623,116,606,357,420,673,073,
432,937,319,332,390,019,865,243,617,563,876,678,111,580,559,245,053,486,790,
752,647,870,708,811,734,454,835,972,503,433,174,940,498,228,534,560,064,612,
592,873,744,032,835,704,248,175,622,772,427,025,022,810,559,256,387,337,527,
671,727,282,402,366,004,951,597,372,911,925,286,366,738,498,172,964,612,965,
867,985,372,071,528,215,156,404,476,708,955,623,306,114,666,878,926,452,583,
367,346,038,405,293,605,755,668,785,896,102,047,002,539,109,362,698,112,091,
772,664,455,915,622,146,341,119,421,864,421,417,195,652,782,055,359,157,160,
732,320,889,464,528,195,174,017,122,701,161,962,678,295,129,915,185,138,842,
324,226,532,189,994,323,378,934,172,637,523,288,281,681,884,454,551,635,063,
661,417,685,340,948,879,138,821,417,401,931,190,019,395,541,966,234,455,843,
488,619,675,141,574,082,435,507,818,225,829,587,314,103,404,359,387,001,851,
883,271,684,432,645,000,334,210,062,381,190,485,708,626,113,395,693,588,717,
535,659,085,824,698,824,905,459,213,361,564,010,232,006,675,888,401,795,269,
298,096,780,376,154,021,748,707,348,739,106,432,620,261,096,070,058,952,936,
259,321,623,092,693,394,095,484,595,510,910,935,355,624,664,328,575,786,340,
871,385,168,988,660,661,024,397,374,651,604,779,143,844,138,166,566,879,609,
403,022,808,741,991,009,759,235,398,432,195,178,919,727,536,482,855,321,407,
077,877,601,835,942,856,430,848,443,088,420,904,095,208,504,462,769,095,040,
679,192,881,113,797,141,001,201,388,477,966,591,831,223,915,446,744,742,704,
022,041,713,347,374,763,700,974,444,814,078,968,308,885,799,203,606,145,596,
858,302,077,462,957,147,394,407,910,550,885,640,346,004,181,539,510,599,269,
378,100,883,242,546,005,540,171,783,142,491,244,618,516,903,131,471,336,892,
007,080,166,448,014,591,523,710,723,868,244,846,781,312,871,113,397,338,811,
615,699,059,434,084,625,109,488,791,841,226,503,561,048,901,743,278,495,745,
103,721,323,748,292,649,354,720,137,105,426,666,990,771,418,423,003,598,438,
788,907,264,998,480,321,879,515,550,963,884,818,932,159,818,197,415,539,176,
347,413,753,754,654,017,082,095,372,066,945,918,458,640,746,688,131,160,986,
411,103,776,530,678,118,951,516,099,122,014,027,907,677,067,291,118,110,281,
913,388,889,836,699,228,614,286,094,169,727,524,828,530,548,430,107,829,903,
293,378,190,266,671,100,431,278,832,806,328,718,511,631,488,640,754,261,075,
788,832,107,475,915,022,152,586,355,467,480,910,285,636,251,541,272,986,725,
929,009,612,353,957,629,867,808,204,850,721,819,522,711,422,824,423,127,990,
477,090,489,797,184,549,843,264,245,274,412,756,007,141,556,340,508,391,408,
601,496,703,644,763,562,820,585,207,208,847,937,942,997,658,843,406,661,174,
742,296,102,045,787,800,810,144,758,820,194,431,995,346,454,816,568,243,618,
549,158,840,617,189,403,482,363,609,161,836,675,949,946,261,984,057,047,626,
916,065,605,291,388,282,677,079,906,343,256,030,690,643,013,626,230,230,603,
031,451,406,786,219,298,167,625,586,742,074,011,872,127,154,350,410,265,288,
663,445,930,051,597,351,093,100,181,731,007,381,426,438,029,611,178,920,673,
487,719,171,742,998,383,455,646,853,500,827,661,215,767,991,854,618,168,019,
259,883,431,264,685,719,769,815,937,717,961,706,064,001,096,434,996,339,935,
221,822,432,968,128,394,127,685,694,118,726,148,886,244,547,994,427,329,708,
673,839,108,138,391,164,175,715,185,245,356,155,202,706,100,283,271,636,654,
561,869,909,198,420,517,611,958,678,967,497,127,792,044,997,484,554,952,520,
607,688,596,972,204,281,682,592,602,201,034,047,085,761,653,330,813,679,087,
846,345,033,761,939,847,448,826,572,430,034,851,321,553,709,062,531,453,775,
395,883,086,981,076,417,976,045,196,426,206,317,623,524,545,940,548,736,583,
671,215,564,736,682,005,130,249,616,661,171,488,695,974,884,831,018,402,348,
613,881,831,110,504,919,080,770,055,307,302,296,543,441,488,658,144,664,969,
917,180,958,778,487,015,149,361,210,438,030,999,953,376,186,482,663,148,710,
158,217,453,164,897,279,769,474,785,397,468,675,954,973,003,298,950,838,021,
265,612,202,675,230,020,578,388,120,383,720,971,272,200,417,460,145,041,737,
021,569,985,860,273,527,893,983,406,674,689,672,980,029,777,645,042,602,795,
072,644,604,896,331,837,865,179,167,697,003,189,702,637,209,970,009,960,917,
372,408,373,959,212,884,815,925,417,493,878,403,839,061,187,812,292,621,498,
785,087,363,827,896,189,782,988,307,092,099,409,246,201,762,215,757,584,404,
726,576,697,419,553,763,803,206,452,196,148,647,034,118,693,810,891,826,259,
166,171,364,334,071,616,664,559,560,605,075,733,347,953,410,664,963,108,600,
495,194,211,226,008,984,977,892,822,069,236,114,783,721,714,763,293,787,486,
397,557,397,650,559,826,767,113,692,080,117,158,225,951,242,669,832,792,286,
352,852,625,375,215,495,575,995,628,755,597,455,612,904,972,140,110,045,950,
155,562,123,971,116,432,256,033,358,811,088,674,204,538,669,258,393,851,520,
875,821,476,595,375,112,216,302,191,075,585,591,093,037,220,550,445,091,539,
285,889,023,058,320,217,915,258,694,855,180,340,212,178,104,404,178,821,419,
275,162,078,657,943,445,349,473,053,494,086,837,782,967,590,790,556,873,984,
284,222,778,585,665,913,872,317,454,357,202,752,540,513,479,972,171,261,029,
226,514,672,671,039,892,729,582,768,945,280,207,509,418,011,080,918,147,930,
926,585,164,553,849,657,133,574,223,068,792,645,862,869,340,152,804,218,546,
700,722,932,633,766,514,100,707,890,584,973,875,605,004,729,702,993,095,267,
567,283,996,662,291,019,988,278,492,210,833,244,994,843,698,975,138,374,161,
182,712,586,358,100,364,089,020,288,287,587,392,085,469,939,651,916,264,235,
920,203,657,483,396,741,620,785,655,779,827,302,844,144,470,058,009,260,059,
436,772,351,150,427,359,096,249,094,656,975,462,216,716,580,038,644,647,642,
359,655,857,052,215,690,291,319,065,592,893,534,262,360,932,210,191,578,175,
148,453,769,732,225,820,833,272,780,021,764,867,556,337,979,364,299,926,082,
551,855,462,801,280,767,748,966,972,087,463,412,111,609,267,548,368,531,907,
158,824,993,715,984,500,707,129,693,189,728,489,025,551,235,520,238,932,590,
671,801,362,714,573,550,199,286,843,805,977,849,266,528,077,084,992,071,542,
562,444,094,024,657,999,331,697,478,779,316,199,803,720,804,205,665,652,398,
659,021,200,906,315,837,534,842,930,220,874,179,894,380,247,660,018,922,338,
083,721,964,949,959,295,438,744,993,495,048,497,857,569,444,340,667,317,369,
355,398,084,623,150,497,539,618,736,507,882,978,906,568,689,287,705,390,999,
684,253,742,495,938,861,137,907,849,780,005,386,243,587,933,138,830,459,752,
598,765,610,423,760,241,629,753,177,741,744,153,539,210,934,838,769,260,864,
272,935,670,862,967,530,972,214,918,566,896,510,191,756,896,530,883,983,548,
494,794,348,649,881,734,637,188,591,394,088,210,132,321,734,009,452,819,526,
783,209,260,413,867,426,863,867,792,663,654,902,450,727,595,463,496,837,030,
543,221,061,904,579,259,537,251,326,739,650,712,251,067,906,284,887,803,046,
259,181,150,679,279,769,441,908,558,099,304,048,059,632,957,400,927,196,288,
093,488,808,524,640,792,376,211,371,934,987,119,225,152,071,396,003,312,321,
607,509,038,871,704,863,821,936,646,699,556,709,775,765,495,036,009,652,319,
299,605,943,182,025,351,090,468,336,322,960,464,174,444,220,088,820,170,772,
607,042,823,035,125,266,559,872,234,243,382,848,169,654,243,880,987,759,339,
895,168,823,375,504,631,239,302,656,912,821,743,408,899,619,180,365,196,036,
193,066,812,412,942,011,654,389,991,491,158,482,713,340,859,326,105,738,557,
202,388,106,820,269,695,233,369,549,972,858,457,380,733,001,320,957,037,939,
483,476,322,328,196,710,064,541,429,684,344,372,428,411,029,847,399,981,080,
523,669,777,636,483,796,539,086,317,750,754,288,062,838,705,724,171,116,071,
892,211,460,376,990,412,040,745,346,685,409,398,176,903,692,576,232,295,392,
483,858,113,209,398,418,464,227,655,851,447,291,766,694,097,303,431,735,155,
473,764,601,215,321,348,220,733,671,488,363,469,970,867,809,316,892,267,935,
196,781,306,302,933,243,939,065,199,844,550,196,768,907,711,465,259,635,487,
788,318,628,187,457,953,292,888,182,690,291,844,829,681,640,496,179,195,627,
724,518,242,868,155,197,161,035,292,970,149,649,315,079,849,641,433,012,945,
126,371,839,816,256,941,723,007,478,504,159,192,494,241,039,843,009,452,358,
931,198,286,451,023,151,624,494,410,739,169,509,167,811,817,093,004,945,380,
664,606,781,206,457,709,366,113,427,649,464,825,355,901,500,125,177,005,990,
438,611,517,615,571,857,609,661,307,291,295,124,256,987,673,666,170,490,226,
219,502,895,550,421,742,828,218,019,068,273,390,899,511,094,228,365,910,339,
604,139,133,611,738,199,245,714,628,330,410,459,343,464,809,462,953,686,658,
207,849,642,448,054,790,219,094,406,597,453,652,103,385,876,215,568,313,767,
196,276,354,899,901,152,193,202,125,649,284,401,231,177,186,309,583,609,366,
062,368,838,434,746,878,217,299,281,420,492,564,587,057,435,948,442,535,487,
933,378,206,317,843,562,248,518,734,780,808,887,821,752,995,444,506,115,302,
747,026,714,251,556,017,473,984,061,572,060,911,351,481,986,774,125,308,902,
830,650,664,920,696,114,235,294,774,256,947,656,186,345,411,514,354,689,394,
860,728,131,021,089,817,745,108,131,194,745,231,187,824,843,504,779,088,942,
174,684,833,597,371,734,907,222,222,022,238,005,841,930,055,340,584,174,933,
511,533,091,843,283,790,301,244,018,700,044,054,359,363,163,725,916,886,600,
300,299,686,757,585,695,715,510,698,839,876,563,919,360,585,200,241,041,530,
498,238,858,513,326,239,208,022,673,658,855,248,154,281,214,641,030,431,028,
376,243,060,116,024,738,218,933,213,605,363,437,993,956,200,299,377,650,027,
906,015,618,805,532,828,979,276,884,294,399,456,859,436,818,942,946,744,479,
530,868,927,597,127,547,523,268,390,422,538,945,184,072,814,246,035,757,979,
160,693,400,403,123,210,654,520,989,491,125,961,283,984,407,012,141,217,686,
323,045,266,293,250,113,085,695,013,671,764,702,615,845,235,148,667,050,708,
247,932,093,560,215,756,164,742,102,498,559,427,045,463,950,695,802,760,938,
610,977,371,519,344,916,948,132,711,028,859,374,227,950,474,447,383,204,830,
105,664,290,405,530,935,791,215,949,739,213,411,064,991,294,400,494,790,760,
004,293,519,779,672,828,598,522,142,256,156,224,986,674,127,771,717,825,787,
382,807,375,962,262,566,609,792,932,608,462,382,854,357,999,167,738,011,277,
750,780,161,003,360,836,718,786,820,702,053,684,112,119,368,494,187,501,406,
628,900,815,795,968,007,460,282,691,334,399,286,685,065,656,507,035,444,989,
501,882,476,977,281,909,665,006,564,203,744,167,399,793,945,288,518,111,205,
864,644,007,355,453,497,905,475,435,153,811,778,259,936,752,934,238,375,916,
399,011,773,513,295,903,844,925,550,347,778,135,281,724,797,430,693,119,088,
115,147,169,434,071,860,336,515,694,299,399,168,709,602,069,274,708,074,573,
819,496,037,085,576,193,571,426,288,748,107,092,974,494,478,851,214,718,959,
714,749,644,244,943,764,209,056,789,965,355,928,085,675,268,125,552,972,318,
552,086,055,261,425,092,294,393,327,375,626,916,847,128,851,341,016,888,278,
526,887,496,837,889,081,201,978,925,750,088,123,383,824,975,177,735,903,960,
176,976,848,019,238,001,829,778,692,177,134,489,874,642,935,428,526,999,729,
327,604,703,351,306,953,200,761,699,992,436,011,336,794,772,951,284,670,066,
219,413,128,248,064,543,736,621,308,217,028,657,515,891,935,592,335,987,078,
319,448,404,079,659,948,326,427,150,161,514,640,305,222,152,728,367,429,262,
562,164,654,942,138,753,003,677,817,252,718,196,874,821,248,164,270,357,055,
350,603,169,742,326,715,395,041,460,779,925,689,427,634,649,352,235,767,026,
026,452,595,571,586,167,342,766,198,049,894,628,142,871,879,681,727,780,916,
456,490,127,946,398,054,168,060,442,622,275,018,291,922,238,611,973,231,314,
431,086,920,990,428,896,655,161,804,555,681,735,217,231,962,786,995,502,584,
781,517,544,830,606,935,600,997,216,139,586,629,445,578,514,887,954,965,920,
182,762,155,570,365,172,282,557,945,468,450,963,663,914,851,534,851,146,212,
619,331,567,096,074,651,480,019,172,485,157,630,601,238,194,721,667,735,517,
310,657,423,991,262,339,132,001,617,079,524,202,377,950,960,836,046,806,194,
908,659,726,715,078,920,563,852,930,578,504,549,011,387,463,610,594,477,602,
735,614,722,336,519,472,527,269,525,954,780,467,384,444,415,287,062,997,526,
213,771,603,970,393,747,102,700,551,626,421,437,907,100,951,510,100,022,935,
672,286,197,926,403,038,688,528,904,859,608,619,148,641,811,603,514,864,749,
751,829,621,227,894,407,183,622,927,907,712,554,957,267,496,042,018,542,702,
517,352,758,341,651,974,873,457,573,609,066,871,743,284,948,743,866,168,626,
393,070,477,530,078,605,345,736,309,188,609,289,728,301,554,001,435,691,287,
276,360,307,529,986,356,432,911,089,402,846,207,513,863,130,447,737,764,351,
878,991,792,941,410,955,119,029,188,608,427,505,061,263,248,412,617,145,909,
101,594,823,459,141,139,052,731,830,716,123,694,496,544,109,747,622,881,703,
695,483,109,761,629,481,910,360,946,702,639,440,088,357,039,930,265,006,787,
746,623,531,344,892,703,358,258,073,359,382,688,191,750,753,225,140,146,483,
953,378,318,945,143,999,168,146,813,250,417,172,748,788,481,912,006,733,067,
508,325,961,402,465,889,175,257,809,919,554,219,850,827,122,440,402,823,640,
335,751,739,418,042,896,309,201,253,773,590,038,090,672,815,144,993,482,704,
494,328,586,187,795,625,893,719,491,268,550,140,205,234,895,773,395,304,964,
986,171,030,390,852,206,467,772,917,476,750,581,822,636,031,378,179,386,384,
918,306,073,069,975,121,598,389,189,835,945,003,124,606,551,918,661,736,242,
238,050,862,746,092,542,773,481,017,705,007,361,416,855,784,387,498,528,743,
199,834,870,432,537,879,179,347,633,644,093,245,556,283,539,179,983,894,432,
249,855,128,850,090,319,567,689,813,625,688,246,756,094,373,309,469,413,894,
295,794,906,821,741,619,205,793,434,735,163,182,832,523,372,767,161,768,344,
104,923,689,982,626,015,452,957,508,378,254,929,025,003,291,764,296,009,666,
431,008,792,442,464,599,681,694,395,817,188,772,286,634,169,645,667,072,752,
299,794,901,031,415,185,984,559,070,657,641,900,920,351,924,233,663,853,418,
300,374,658,955,469,539,320,836,489,763,060,788,583,841,496,462,247,280,314,
750,648,807,854,075,415,765,184,633,720,853,648,986,153,438,954,127,490,267,
560,891,424,252,443,089,948,802,878,372,569,352,644,833,010,564,874,612,982,
811,223,661,227,143,144,932,766,212,103,415,845,500,766,770,672,573,536,329,
019,409,250,815,126,250,578,587,186,120,900,204,118,539,740,108,410,058,899,
832,239,253,064,366,305,510,096,900,667,508,827,607,114,185,234,438,843,556,
438,124,716,542,714,163,256,949,761,089,977,060,604,799,679,658,568,756,680,
829,329,355,001,532,168,126,135,148,830,533,296,747,267,707,623,460,968,133,
188,377,387,061,363,604,856,220,182,563,092,641,367,443,361,386,324,475,088,
628,979,973,546,660,566,376,165,578,547,875,074,351,497,123,575,911,581,886,
645,606,422,950,994,236,264,369,636,619,532,157,921,781,421,525,060,088,870,
688,295,735,812,220,261,575,663,070,669,919,442,628,606,653,840,851,452,733,
993,124,437,999,270,043,634,958,226,165,963,945,948,096,021,699,007,288,007,
949,648,289,727,509,442,845,353,165,244,803,287,118,478,348,121,359,805,821,
948,108,534,757,666,079,597,399,494,457,328,571,827,224,268,198,659,132,518,
522,488,496,454,265,965,803,422,502,729,085,113,290,412,919,823,158,683,861,
464,630,152,153,699,937,385,319,132,929,373,022,666,880,431,710,562,360,811,
795,756,349,745,966,920,513,791,647,771,084,448,219,901,518,393,960,637,986,
854,737,580,594,676,857,061,241,754,308,288,736,999,866,435,723,566,593,528,
477,598,278,509,147,104,130,508,376,530,940,915,517,485,766,006,349,213,561,
199,262,591,654,638,705,325,437,840,504,380,117,562,481,024,597,307,975,032,
255,794,112,518,329,335,540,205,514,406,937,801,915,013,499,946,861,719,480,
080,692,966,171,508,718,751,252,936,300,857,197,155,725,252,000,218,914,945,
075,915,969,967,131,295,110,745,747,268,224,213,020,391,844,302,331,936,382,
066,996,953,469,738,081,273,383,315,939,675,063,435,810,945,751,255,122,857,
319,911,153,543,932,662,702,930,454,900,169,821,880,185,759,276,833,167,627,
541,666,456,948,417,772,206,993,374,014,170,763,422,911,441,754,637,855,815,
131,397,518,829,770,637,238,626,405,646,299,232,746,763,567,627,618,193,653,
691,855,469,200,150,228,465,607,297,821,298,016,475,936,842,497,320,652,500,
008,386,284,331,585,673,517,114,671,520,218,630,493,201,680,628,737,689,789,
359,740,435,628,430,208,759,724,188,284,815,783,679,203,994,466,904,426,089,
707,493,796,742,510,418,114,024,913,757,701,430,388,428,110,014,448,641,575,
226,973,637,542,594,889,532,980,118,479,859,817,597,304,772,417,828,095,263,
582,064,002,537,518,955,187,425,391,080,374,768,051,359,520,083,659,952,869,
171,246,449,089,660,802,572,247,825,452,359,124,381,907,685,021,418,155,364,
630,230,103,149,326,212,152,143,412,433,402,118,450,052,442,664,649,449,254,
142,419,918,333,846,558,917,148,006,426,806,574,994,660,234,858,173,233,637,
587,353,986,737,519,452,627,942,605,908,448,239,791,096,603,172,913,588,619,
947,099,800,165,364,784,180,965,817,066,786,521,146,214,217,621,730,717,210,
890,388,374,251,518,591,230,265,286,751,613,528,614,679,100,103,560,220,715,
023,857,541,781,213,608,497,798,210,736,786,241,558,445,864,414,556,408,314,
978,421,889,314,310,989,745,488,997,819,727,850,951,930,331,687,678,487,540,
241,943,170,882,961,071,117,662,713,597,137,982,167,367,718,191,471,426,481,
453,575,078,834,821,249,021,669,467,563,636,496,404,687,783,478,300,749,532,
061,879,076,473,869,912,853,155,844,546,572,767,611,037,316,444,561,969,425,
104,097,339,634,123,992,244,769,919,353,088,696,605,539,340,692,100,712,840,
429,203,305,578,401,743,835,081,414,402,507,214,388,835,856,931,167,065,611,
417,628,290,149,096,577,004,950,836,651,087,782,879,994,097,220,456,042,378,
360,513,540,335,447,495,239,675,689,383,984,430,948,060,311,969,154,792,070,
177,531,009,263,122,947,018,556,094,307,487,546,435,311,378,856,330,807,956,
266,540,881,710,261,420,855,692,169,355,361,385,371,322,176,360,127,073,403,
082,848,578,735,135,816,908,212,725,821,912,311,072,778,597,220,357,215,269,
252,115,868,852,098,239,565,641,924,795,422,817,993,347,507,058,689,998,747,
468,008,913,051,868,535,820,544,420,222,079,672,721,908,272,486,464,224,635,
154,057,751,205,915,204,609,123,941,665,584,986,773,184,708,849,070,256,520,
781,993,006,054,039,156,910,855,907,871,277,535,879,790,775,814,001,396,392,
257,093,952,235,170,100,093,599,455,753,078,096,279,026,921,856,129,146,849,
951,970,316,710,780,876,654,900,948,912,378,147,794,510,510,551,613,951,498,
429,729,997,909,971,322,923,143,742,097,761,944,804,104,100,669,368,817,545,
293,510,449,502,157,425,469,374,338,511,368,733,632,427,621,306,364,375,836,
961,135,251,037,946,489,819,938,036,748,643,445,027,135,773,064,318,538,586,
908,326,023,592,909,283,808,148,928,084,731,971,651,931,802,188,642,389,738,
885,388,181,317,756,191,317,123,143,086,875,595,530,905,491,949,929,714,455,
366,571,006,039,215,142,698,062,226,696,201,031,485,410,825,186,205,304,199,
383,301,334,311,776,598,285,331,128,468,311,789,503,589,482,532,922,671,208,
832,032,380,434,889,483,948,253,453,806,010,182,666,757,409,412,869,147,075,
957,608,920,211,725,322,836,234,797,574,131,784,554,083,577,031,515,786,214,
090,305,096,422,132,614,706,366,104,832,093,840,389,066,476,987,852,196,456,
869,411,269,798,751,407,363,330,887,043,760,482,051,880,266,140,785,277,247,
157,351,830,993,574,462,060,587,219,286,754,979,938,805,911,722,320,132,974,
904,690,150,848,687,728,780,101,310,644,477,355,426,068,749,723,664,841,079,
386,198,410,128,469,256,570,326,274,355,894,788,885,524,296,522,960,675,020,
493,937,670,689,344,826,191,111,868,764,006,555,151,937,689,488,763,307,232,
798,201,653,706,340,393,040,301,714,653,594,268,403,155,869,351,749,161,316,
846,608,276,941,737,339,555,171,500,570,548,758,064,006,943,946,427,714,433,
233,930,487,158,252,419,141,424,768,673,204,167,409,459,086,120,342,156,456,
268,318,500,123,413,798,933,209,499,573,974,978,410,389,797,583,920,302,733,
053,994,767,761,469,586,713,714,541,926,283,238,759,027,575,020,613,297,950,
423,946,513,065,833,355,001,781,109,104,669,315,466,572,724,935,463,276,357,
895,255,533,189,333,696,045,190,102,488,707,714,901,562,341,220,176,310,950,
217,378,757,191,850,247,806,719,521,993,841,948,541,446,417,641,788,930,207,
268,545,733,333,468,645,549,971,911,973,470,551,905,360,319,483,033,760,726,
190,564,153,342,865,256,412,444,146,984,700,795,473,999,358,742,566,590,887,
253,825,224,325,611,460,120,169,003,974,798,384,718,537,704,546,776,114,102,
419,247,846,468,657,116,958,612,114,670,437,237,777,351,855,585,530,652,422,
481,702,614,727,274,841,131,585,026,885,450,654,731,301,825,652,014,264,789,
750,014,024,372,316,319,351,035,343,796,000,571,437,934,203,011,419,320,491,
556,654,724,556,938,820,789,174,334,066,683,689,826,534,476,220,226,147,392,
798,016,921,765,800,413,039,765,254,831,627,699,487,414,300,754,018,984,171,
936,098,801,446,654,390,862,660,830,618,842,571,872,486,085,571,391,853,868,
659,640,172,016,510,130,172,022,473,427,713,211,271,877,707,204,371,809,774,
943,412,950,932,547,311,133,040,128,059,436,517,407,551,182,141,834,185,259,
145,237,177,876,851,989,541,715,499,762,842,525,549,409,597,615,423,263,944,
603,298,198,645,616,809,591,859,808,543,787,536,516,781,420,839,621,973,082,
305,372,986,664,231,602,619,021,057,043,157,750,564,428,247,051,069,569,126,
338,932,836,732,040,608,889,598,649,571,793,379,100,017,896,566,801,164,058,
543,621,010,642,408,809,946,216,938,373,091,307,608,618,403,554,334,009,736,
749,582,874,390,471,555,667,592,687,520,739,094,194,770,696,188,396,819,727,
682,045,539,569,369,398,058,288,399,519,960,926,801,645,412,635,661,812,576,
710,481,235,046,201,556,799,879,069,457,747,351,762,342,509,455,182,310,976,
104,286,973,719,207,452,502,648,275,969,439,314,210,819,343,336,777,558,038,
690,972,510,994,089,157,784,102,183,190,659,424,230,055,187,907,363,002,734,
350,506,405,362,930,700,773,221,392,572,758,363,296,239,592,872,696,687,611,
088,085,794,394,488,583,963,763,441,053,585,795,065,945,846,624,070,243,496,
031,813,700,515,458,286,050,232,357,861,473,657,708,612,693,598,073,858,346,
879,735,783,181,515,587,122,514,398,271,568,108,148,823,149,306,771,299,489,
174,487,896,608,902,413,517,193,258,656,150,713,106,635,211,148,666,689,696,
353,124,812,395,688,499,018,898,290,678,762,960,445,833,642,135,703,432,565,
026,960,778,090,889,105,283,393,871,506,728,686,918,389,067,881,570,979,220,
807,821,911,042,283,059,927,765,865,331,259,547,706,642,239,247,241,827,272,
516,373,470,556,840,995,345,451,283,721,175,375,837,997,026,159,030,169,189,
163,997,661,257,596,994,908,571,015,085,795,637,565,946,066,811,566,790,200,
341,096,443,119,652,407,732,534,891,856,329,216,411,746,669,495,775,012,712,
011,697,547,625,428,911,047,182,218,021,861,900,402,411,469,227,779,213,090,
768,658,445,838,171,445,362,357,071,837,865,925,787,447,092,512,805,091,958,
524,344,014,562,322,453,525,031,374,178,944,829,574,463,356,666,238,359,872,
940,900,993,466,943,323,594,199,676,654,775,432,656,544,327,488,054,384,224,
499,904,018,250,747,561,811,955,615,415,426,402,284,799,745,849,100,716,930,
334,488,403,277,479,599,405,632,413,965,233,906,693,706,173,809,794,863,733,
664,520,724,112,475,791,665,953,919,795,359,571,044,713,945,701,451,964,377,
235,452,738,206,806,568,793,498,939,901,493,159,518,549,689,824,127,153,642,
304,471,796,378,059,188,855,602,307,915,179,047,645,569,188,624,605,141,864,
460,823,217,112,477,716,436,185,007,194,136,225,897,397,207,856,953,678,924,
317,884,526,447,881,508,912,150,988,465,900,160,244,151,648,299,988,245,702,
851,520,183,443,712,469,696,270,394,448,393,004,354,690,111,960,955,908,945,
991,721,467,291,327,109,095,162,359,614,769,622,541,460,045,455,940,374,272,
540,063,452,722,224,981,952,391,744,044,615,594,794,526,016,127,832,603,011,
713,289,364,476,492,640,476,603,969,781,295,041,822,192,269,772,567,804,507,
657,059,812,410,498,389,386,871,685,861,119,833,118,659,583,812,460,170,865,
480,875,204,685,753,894,473,253,340,900,476,642,608,716,950,596,970,042,494,
943,822,357,410,368,773,956,013,907,738,102,423,311,049,892,404,837,301,754,
375,128,576,885,218,865,973,475,840,209,794,073,891,389,858,677,875,934,327,
339,834,541,633,340,260,048,208,117,638,488,476,804,174,812,756,340,158,917,
016,501,112,756,390,109,193,172,224,547,461,342,266,640,163,467,396,301,894,
405,982,284,202,974,635,690,162,463,091,452,537,686,317,574,967,954,280,746,
239,245,258,504,342,133,789,019,210,950,520,117,894,926,029,305,883,732,563,
941,754,894,512,896,321,141,216,093,905,911,737,784,681,581,775,296,497,035,
285,724,173,814,742,098,940,632,523,619,433,137,168,848,802,060,502,281,336,
611,317,139,873,393,180,500,522,536,260,060,227,262,618,955,720,963,380,537,
585,435,883,614,477,729,128,847,212,795,426,031,117,826,189,646,655,224,010,
380,495,728,447,830,681,219,695,570,787,012,587,910,314,600,512,401,789,815,
480,672,421,712,776,617,951,054,243,283,317,815,982,764,577,788,649,097,952,
980,177,360,867,234,847,486,503,750,709,547,417,675,807,768,630,017,901,336,
099,484,583,937,013,933,562,691,843,102,388,104,875,200,433,070,514,103,987,
027,068,456,021,555,613,799,060,247,162,671,557,537,285,369,295,680,735,929,
417,804,336,786,553,584,227,893,788,463,459,574,561,591,459,079,594,269,250,
561,260,825,832,738,840,698,521,945,451,478,652,999,433,123,374,345,158,059,
432,397,085,139,207,933,242,685,338,359,321,721,196,975,801,304,350,123,825,
875,620,194,822,441,761,365,730,015,305,121,908,774,314,712,035,752,274,904,
664,953,288,490,033,842,546,879,686,328,387,048,837,382,220,975,443,846,230,
739,279,865,498,577,440,243,057,013,677,087,251,793,051,413,259,095,509,902,
007,222,465,674,419,321,505,331,498,602,114,484,675,134,697,870,179,713,064,
509,916,607,396,294,964,017,418,673,647,217,105,314,025,231,584,326,793,485,
017,169,077,713,517,798,849,272,905,635,129,915,159,453,684,838,227,313,705,
657,220,539,122,928,974,257,798,803,678,029,224,443,777,706,580,113,347,004,
294,050,935,229,868,362,772,073,329,674,752,442,207,935,408,243,516,891,521,
956,113,827,434,812,925,567,994,372,470,253,165,333,608,082,935,215,965,729,
227,920,854,055,081,653,466,486,768,776,192,063,487,128,815,151,917,673,120,
605,207,370,448,193,190,624,446,158,099,522,611,618,572,248,043,495,489,016,
752,735,638,527,986,272,706,803,590,440,476,823,945,896,502,117,720,165,116,
230,373,790,824,657,910,847,268,583,264,456,714,800,295,251,865,377,593,288,
470,147,485,967,917,736,264,632,335,376,497,828,989,791,590,008,326,039,083,
340,724,538,646,695,060,733,997,966,286,252,539,435,741,281,459,701,026,912,
071,027,435,524,690,919,967,954,156,000,872,403,161,841,438,411,244,032,518,
974,730,991,428,867,173,581,452,545,700,730,797,541,142,009,285,349,417,259,
267,766,551,202,609,743,989,823,188,991,729,241,278,999,611,024,230,410,255,
053,744,856,714,261,674,727,858,120,845,844,813,103,452,744,966,980,674,917,
325,919,146,231,268,276,309,522,678,750,364,190,641,059,135,190,912,383,420,
361,030,865,486,360,106,445,758,623,163,528,523,617,088,278,528,986,045,807,
906,213,217,695,336,276,182,727,774,814,077,437,507,716,143,478,997,436,295,
148,026,430,775,349,047,822,986,536,101,368,710,407,113,529,925,744,413,581,
546,247,361,722,815,458,681,354,238,186,419,644,574,147,078,498,078,691,803,
921,370,616,151,776,735,623,467,089,689,656,701,382,137,853,795,940,148,135,
145,432,813,145,134,821,245,683,513,127,495,185,171,950,206,498,844,305,802,
241,250,559,417,216,229,076,205,103,441,290,079,181,282,178,758,646,436,660,
504,368,432,291,889,279,348,322,690,014,508,110,335,741,340,610,340,096,488,
912,290,385,499,069,669,719,579,961,781,137,604,296,806,736,599,973,885,851,
333,999,710,440,853,554,789,826,753,988,153,354,298,047,983,248,397,896,713,
340,555,695,268,102,107,720,397,716,784,025,435,255,813,546,677,450,621,909,
934,664,351,352,070,511,214,222,204,903,942,068,097,361,981,529,858,650,229,
499,273,454,884,957,035,274,208,890,275,946,187,729,470,771,827,287,428,125,
405,911,571,043,032,197,480,918,633,286,122,122,150,160,428,025,985,358,616,
078,893,603,215,484,940,911,048,207,390,492,307,934,164,604,486,685,028,158,
903,842,690,350,075,445,358,387,190,924,564,819,573,783,007,485,047,808,389,
346,590,330,463,193,792,632,192,972,181,580,074,574,011,932,904,160,957,265,
331,227,879,946,190,396,027,937,117,582,857,926,046,338,137,255,112,444,006,
135,468,962,416,281,706,541,715,846,168,287,716,662,019,079,233,967,043,185,
763,877,184,965,486,148,959,297,614,288,753,150,032,355,550,086,493,028,745,
937,230,064,020,974,006,344,818,622,406,660,275,316,051,954,763,999,465,396,
321,847,199,469,518,311,599,344,228,265,195,072,415,575,167,718,565,909,605,
283,804,139,327,349,334,916,799,717,425,680,408,590,008,235,543,008,583,379,
535,156,151,316,543,874,798,852,251,903,506,894,002,937,153,529,814,973,316,
796,360,377,083,184,004,768,059,927,081,252,860,042,172,622,120,563,622,274,
749,880,062,072,891,934,307,328,354,143,530,234,884,009,215,002,772,738,759,
799,023,150,090,122,971,857,974,874,677,215,453,864,024,299,493,823,069,238,
895,117,593,474,867,404,424,409,166,591,193,794,989,418,352,970,465,463,021,
566,186,514,381,022,888,567,473,800,877,620,754,196,211,434,447,607,495,293,
769,595,822,230,163,072,011,846,042,980,830,387,583,851,229,612,803,782,596,
969,890,003,625,650,914,890,776,731,652,697,262,832,252,789,817,293,960,487,
176,558,059,876,386,702,279,659,786,573,149,885,307,372,208,358,269,954,032,
431,975,559,571,403,101,004,722,107,321,218,600,462,413,707,464,337,382,040,
174,353,450,739,582,126,739,803,869,676,139,306,097,499,784,441,682,737,517,
826,697,726,108,792,004,711,794,890,796,844,643,038,874,760,566,560,831,398,
183,868,227,332,213,139,508,290,357,359,662,922,495,924,456,852,989,321,381,
689,597,589,469,551,316,299,147,150,107,358,224,367,468,428,126,632,237,857,
794,841,154,502,587,436,629,370,146,635,121,589,146,726,738,034,104,159,010,
061,980,512,605,663,624,768,285,035,462,453,268,403,592,162,095,271,699,358,
202,136,455,636,527,055,982,888,264,827,743,232,552,053,241,445,112,850,711,
277,519,363,135,380,005,326,791,946,752,114,398,073,755,024,269,873,733,632,
061,727,050,497,762,169,947,646,676,138,155,519,644,437,229,166,515,543,436,
343,977,006,033,430,844,290,226,905,432,374,996,077,508,093,017,469,473,688,
198,950,775,308,098,995,544,213,207,736,473,809,332,037,995,020,970,986,628,
866,512,548,339,971,821,602,032,838,914,719,314,388,009,168,604,456,308,927,
960,612,028,096,634,189,219,768,375,103,341,443,254,692,315,093,964,682,811,
901,949,977,253,904,226,397,283,837,932,879,267,748,859,523,511,853,790,743,
701,539,484,367,976,378,917,459,775,219,031,700,267,350,663,161,570,328,525,
723,417,697,252,989,219,692,636,911,091,271,727,888,107,133,044,911,334,578,
785,522,264,991,941,728,674,545,977,405,194,306,907,095,627,251,971,042,542,
089,366,639,146,895,463,202,666,327,018,681,581,416,591,553,151,680,293,841,
710,239,171,300,235,955,805,955,628,149,138,349,799,085,980,064,996,272,162,
394,401,302,066,457,517,548,796,462,856,499,550,099,746,487,960,579,796,006,
755,959,542,763,270,542,021,117,913,671,880,494,883,974,667,512,781,994,885,
758,838,131,534,437,733,179,500,771,344,246,556,069,908,374,173,776,812,469,
256,031,846,646,828,270,162,319,269,793,890,143,474,770,415,538,280,921,573,
172,670,350,351,466,421,773,600,638,052,760,854,952,218,106,195,042,290,431,
977,300,642,904,348,416,684,894,234,369,905,381,735,216,714,583,836,578,198,
079,316,967,997,197,778,079,744,162,674,296,393,045,793,728,838,873,851,289,
439,324,335,511,562,512,662,607,036,279,133,947,884,017,970,000,714,227,337,
531,504,620,184,192,458,955,039,301,378,108,357,183,400,186,201,468,354,231,
862,322,685,035,377,438,571,463,411,788,940,536,819,923,762,053,965,586,712,
698,132,545,700,117,241,515,392,806,721,012,544,458,257,544,830,048,638,765,
267,849,582,417,715,949,628,834,904,128,567,465,566,634,216,400,914,368,429,
218,586,309,805,211,348,578,563,281,477,839,115,971,437,378,016,129,055,439,
331,330,449,658,783,561,150,803,336,988,002,946,917,286,256,940,384,679,092,
943,349,457,162,648,337,333,346,436,307,212,323,805,700,402,558,930,869,847,
898,813,610,002,825,666,618,289,579,199,216,548,513,355,446,596,583,499,255,
053,177,582,262,742,797,731,476,979,264,038,171,702,604,464,464,185,171,529,
860,727,265,219,940,841,136,165,369,319,376,685,549,118,803,503,276,846,659,
525,699,765,362,467,639,058,095,817,459,658,851,192,358,967,921,807,265,285,
543,956,143,877,863,056,028,974,626,249,726,797,793,319,213,366,406,600,964,
007,945,202,137,520,294,567,768,866,909,058,889,665,302,522,992,990,554,248,
970,356,952,088,422,643,713,487,583,348,577,993,138,929,862,606,083,085,198,
642,135,711,293,659,278,071,709,328,639,987,880,195,908,164,934,112,378,431,
953,888,615,702,650,250,036,345,460,986,001,646,747,827,454,690,371,182,916,
845,976,529,070,841,684,589,289,631,842,103,759,737,592,130,071,785,806,700,
714,183,581,473,772,267,059,387,358,906,151,280,544,207,660,051,659,010,271,
769,151,024,948,892,636,137,060,300,216,928,692,190,962,972,883,108,338,698,
927,897,649,911,093,891,137,186,045,181,394,222,170,985,069,396,400,899,043,
011,356,532,049,155,412,549,841,489,091,362,857,464,629,134,756,098,486,800,
210,268,144,452,569,044,127,767,342,443,940,673,134,030,725,474,277,046,770,
408,935,432,567,584,906,981,272,948,231,885,298,750,268,557,822,759,683,435,
267,546,210,794,008,746,653,813,744,442,369,260,737,452,374,105,803,322,121,
352,784,558,542,274,759,736,708,880,415,654,805,899,478,772,360,054,460,628,
902,575,812,456,850,077,112,706,345,348,915,313,033,538,954,936,523,031,337,
448,039,609,891,216,123,968,670,754,917,229,643,813,298,388,742,165,223,646,
854,435,692,357,915,080,281,074,376,370,380,292,959,204,257,559,667,622,215,
952,989,108,419,007,548,969,037,371,780,133,414,625,615,275,865,333,431,785,
322,853,041,033,612,172,599,429,756,468,935,912,881,940,198,053,578,167,645,
780,516,134,578,087,009,405,062,047,435,099,226,479,154,193,076,451,971,221,
435,947,837,920,552,103,089,005,692,002,394,457,070,327,675,330,197,805,022,
779,459,374,959,757,106,215,197,237,970,289,591,990,213,290,568,937,542,368,
510,707,950,468,338,704,317,162,104,690,763,232,390,198,758,914,169,659,270,
863,490,918,692,914,472,555,186,991,088,637,854,960,852,057,478,024,910,449,
900,281,253,346,900,902,506,955,575,236,072,798,467,966,755,678,538,387,732,
542,423,367,327,486,571,638,761,574,802,934,322,510,802,063,595,398,493,450,
980,891,477,592,514,856,402,910,167,615,564,779,952,053,426,608,447,305,791,
760,679,392,711,330,435,183,510,168,932,819,721,836,272,770,512,210,811,292,
142,814,614,777,875,147,577,764,895,314,434,591,715,392,780,914,457,515,134,
454,867,564,212,112,506,915,004,915,140,650,563,677,767,977,372,795,548,199,
401,398,217,767,882,389,701,490,372,146,474,192,287,710,857,470,921,242,240,
233,000,482,260,847,086,523,008,592,436,179,482,354,607,779,190,431,851,167,
259,129,635,577,624,641,851,907,124,306,297,521,462,983,792,287,799,484,806,
600,876,753,833,829,999,280,990,175,113,022,854,518,485,124,362,910,240,196,
421,714,046,343,001,527,937,141,777,616,998,770,424,789,592,465,122,663,323,
743,179,146,375,369,143,734,669,408,225,243,348,652,035,115,851,043,974,278,
341,444,116,655,214,362,986,970,720,499,437,205,669,402,801,416,278,884,169,
809,101,139,279,931,885,672,961,282,348,630,032,455,065,699,214,743,250,970,
556,413,905,658,851,251,609,922,702,815,272,849,805,775,545,095,798,525,829,
722,285,186,444,246,964,234,707,417,641,624,214,421,970,691,290,002,204,348,
309,367,620,734,222,162,944,961,120,927,991,637,602,994,289,908,441,433,371,
212,000,592,773,914,235,762,226,323,011,283,398,916,448,744,925,338,239,000,
819,153,945,417,860,938,974,236,276,292,071,484,459,453,986,426,956,439,371,
353,806,041,461,871,311,026,309,042,775,010,884,880,179,019,249,266,909,244,
007,337,518,966,758,356,676,784,309,796,721,630,125,236,638,113,312,327,890,
987,175,928,410,178,710,040,006,034,874,718,454,874,848,894,148,955,764,119,
451,966,131,192,711,231,958,260,067,249,483,770,264,749,694,576,982,053,218,
272,417,721,057,200,755,535,733,172,028,581,189,691,754,420,140,062,850,635,
682,524,147,922,527,484,975,602,006,742,532,057,894,166,177,546,417,681,044,
227,477,096,048,412,707,903,600,666,613,744,660,869,017,318,562,743,348,958,
754,220,880,833,482,329,177,613,609,853,412,191,766,677,503,655,607,223,682,
598,382,097,789,570,675,258,372,981,304,723,580,697,282,344,064,460,653,420,
447,221,685,398,836,386,807,868,294,644,771,225,606,392,272,886,850,674,522,
256,620,882,769,863,804,350,750,341,442,336,908,973,071,696,736,357,486,708,
443,888,839,946,290,250,614,421,171,562,677,373,239,085,427,961,655,703,134,
767,257,682,246,576,875,256,346,969,617,505,085,011,721,673,538,294,251,366,
321,190,563,765,028,074,298,997,987,805,776,938,362,012,840,607,923,894,557,
930,187,570,618,662,989,948,617,499,015,553,079,355,241,645,771,368,667,705,
578,976,289,693,537,747,277,518,659,181,650,815,166,683,638,821,714,276,162,
270,817,730,326,363,755,360,419,496,402,895,925,745,507,893,963,998,033,346,
968,225,661,294,191,679,731,392,695,528,203,741,437,144,145,805,652,395,013,
522,896,823,618,591,574,594,806,345,334,362,399,495,330,307,029,434,519,108,
206,633,272,384,039,441,952,307,605,205,334,801,211,816,071,565,152,276,737,
962,893,580,865,200,465,277,336,495,326,194,875,586,755,100,029,436,398,470,
927,302,225,625,224,450,295,337,372,496,645,343,918,100,379,071,076,214,623,
724,439,487,016,899,324,903,665,901,839,500,243,525,056,450,310,909,488,092,
694,494,732,328,483,480,745,185,095,912,071,929,542,976,482,521,269,372,487,
943,913,615,417,148,966,581,099,957,061,070,173,065,172,293,810,685,171,654,
422,481,411,230,048,158,904,945,543,265,723,156,334,474,718,802,032,024,791,
833,468,920,215,360,934,301,531,468,954,417,988,341,325,890,962,561,773,455,
839,244,562,833,966,321,253,597,004,238,494,743,167,787,640,558,567,825,160,
400,455,690,630,773,229,884,198,675,463,522,679,501,535,422,015,178,469,879,
363,028,079,349,267,965,983,997,573,219,375,531,764,810,966,559,655,197,687,
220,554,668,387,284,282,412,630,590,192,011,312,176,408,466,586,550,176,155,
677,949,768,606,351,712,042,390,080,912,870,765,522,309,576,822,070,915,810,
448,630,961,316,393,596,922,699,741,163,381,841,211,373,430,267,527,795,073,
178,552,331,298,419,609,785,905,903,560,694,242,193,338,882,476,144,170,483,
270,559,389,962,436,329,310,899,607,863,629,774,971,450,316,870,235,093,392,
216,864,141,199,866,090,010,111,016,137,432,715,313,249,289,857,527,761,185,
352,825,225,731,266,782,939,524,626,976,144,848,853,174,977,621,871,279,493,
706,051,504,765,547,675,736,462,407,078,624,444,049,982,285,417,885,158,222,
981,262,226,024,023,433,612,534,217,415,406,200,003,625,669,967,370,407,731,
001,522,004,710,687,448,156,220,114,345,112,847,943,044,383,455,965,946,336,
037,834,011,746,418,891,825,839,877,342,729,814,869,817,441,714,537,199,989,
280,100,026,806,226,319,480,258,415,404,207,972,552,807,336,493,088,055,365,
137,993,641,013,207,177,411,642,201,685,443,887,447,458,420,410,374,319,304,
517,600,797,993,486,955,419,652,230,292,420,146,343,657,698,538,775,436,603,
158,081,099,079,017,935,381,980,699,276,344,232,591,369,493,835,408,967,239,
126,377,086,376,048,496,967,508,167,665,043,070,711,866,487,308,793,054,598,
190,897,572,837,099,560,147,929,234,325,381,190,207,789,357,134,906,184,947,
592,699,155,939,527,107,496,526,202,941,847,376,882,195,092,478,562,524,427,
941,336,630,880,892,747,570,314,530,791,196,914,567,869,719,018,549,219,080,
775,645,560,196,759,447,881,289,169,350,840,626,966,824,402,144,339,438,329,
608,226,082,446,563,356,479,755,719,026,266,179,510,393,319,929,639,155,872,
761,905,823,068,151,138,200,239,243,996,130,034,500,156,035,724,175,919,379,
090,444,803,563,123,504,070,179,469,383,169,678,210,209,456,278,557,864,427,
803,479,373,172,528,283,485,936,022,338,109,972,179,688,199,707,839,203,586,
778,586,206,454,486,368,712,709,211,694,059,350,686,771,151,333,111,320,660,
371,840,415,091,833,889,310,062,985,827,483,973,800,658,104,046,683,797,711,
375,927,994,758,070,430,493,809,999,452,603,932,387,645,558,418,378,957,207,
343,411,146,684,557,319,351,598,161,761,450,171,558,714,672,855,557,941,076,
287,904,778,799,087,648,270,451,382,037,953,301,311,143,964,272,433,167,955,
572,421,483,811,599,270,523,762,077,260,859,792,918,050,546,595,567,815,200,
592,394,234,079,841,105,380,900,858,042,907,195,769,822,244,190,468,367,076,
615,171,245,249,106,088,140,435,960,904,077,238,057,172,101,567,390,258,701,
615,380,815,618,858,459,651,428,894,878,065,564,374,466,818,402,115,557,488,
504,987,473,246,461,870,225,689,109,429,857,230,730,661,494,828,582,877,491,
358,411,763,418,633,226,100,260,331,603,147,681,654,732,114,626,773,422,529,
485,115,855,849,390,630,733,420,284,765,300,822,512,497,179,698,972,512,744,
178,160,402,241,208,740,037,506,180,387,469,670,400,000,342,004,318,438,948,
850,342,178,406,663,471,281,759,204,199,649,242,595,692,169,499,988,149,443,
547,163,550,205,759,069,551,729,066,952,193,222,148,387,793,400,826,142,220,
633,767,951,367,026,062,634,247,920,171,364,711,993,388,194,304,415,683,882,
692,486,261,843,622,642,206,591,884,926,589,233,231,078,414,509,080,265,182,
127,495,865,336,514,780,141,730,576,572,936,500,979,136,808,461,374,216,657,
542,610,476,325,900,600,187,303,365,667,269,331,584,052,510,800,341,904,389,
570,862,897,004,322,698,594,635,862,941,054,477,385,983,274,073,174,814,884,
181,734,201,380,289,654,167,456,911,904,471,198,914,826,394,136,271,830,375,
490,920,659,424,743,998,933,668,406,752,372,299,394,644,960,616,153,922,334,
041,021,352,157,816,294,119,472,291,793,988,474,533,004,568,199,593,229,285,
693,611,711,547,756,201,011,626,855,447,795,607,370,014,222,732,128,603,854,
009,327,148,503,379,708,531,118,046,204,519,419,692,085,353,163,115,591,087,
740,330,336,122,608,315,111,143,212,035,822,969,347,337,448,762,752,515,884,
632,167,510,187,538,136,780,336,353,446,760,724,679,903,706,103,147,914,503,
104,557,627,233,545,293,707,686,089,605,542,388,653,249,492,765,463,450,419,
901,503,108,124,020,477,074,324,011,890,159,679,590,943,902,745,537,912,764,
962,892,572,375,464,150,559,068,241,472,751,193,889,562,951,307,532,895,692,
640,128,727,703,287,202,187,313,354,959,869,738,126,506,741,920,222,379,842,
746,308,536,282,288,230,514,366,454,963,130,442,740,544,437,997,787,350,136,
789,286,763,141,778,873,413,944,099,254,613,171,652,279,569,080,438,526,769,
706,214,017,317,245,229,605,527,536,537,216,442,928,602,867,559,565,487,421,
782,340,671,851,847,726,713,501,641,517,478,822,063,792,073,457,294,397,487,
537,590,340,754,754,379,742,933,661,082,939,406,382,725,842,991,389,984,079,
722,367,330,622,626,823,603,875,517,395,587,604,986,574,967,114,274,773,064,
910,530,739,010,638,691,700,934,152,642,407,787,368,116,231,395,761,464,313,
811,438,506,454,320,511,045,824,287,461,707,915,511,837,230,384,335,289,485,
526,745,192,549,633,932,347,475,803,099,486,571,021,827,443,601,110,846,510,
169,768,836,192,844,552,864,185,866,914,511,021,673,464,840,848,113,486,649,
786,299,260,307,940,772,351,642,897,632,795,296,242,016,285,475,170,959,666,
416,786,720,515,582,218,509,710,107,473,016,302,107,531,807,288,840,353,040,
429,496,219,609,882,409,906,594,871,948,071,936,953,191,164,634,248,839,948,
887,115,248,499,763,970,972,933,760,774,216,117,176,646,463,148,047,391,671,
387,885,128,248,015,359,962,218,346,742,427,529,700,263,554,022,728,616,001,
768,778,837,294,216,047,103,811,534,310,156,533,760,538,801,812,389,017,713,
197,446,433,553,376,978,630,348,924,296,927,535,134,628,147,627,080,775,866,
935,843,889,221,853,923,508,794,189,444,463,525,376,605,060,434,742,117,092,
841,253,445,347,780,993,689,829,056,191,112,494,378,362,992,112,928,977,338,
394,539,556,838,300,189,394,519,594,755,748,562,108,261,572,679,378,952,959,
699,161,826,513,421,775,888,379,639,848,729,187,592,042,540,339,423,348,643,
319,302,726,466,018,515,815,607,158,918,552,890,994,372,716,671,268,127,394,
986,867,342,216,776,817,444,581,243,372,153,643,425,575,264,051,356,744,807,
484,485,221,055,392,155,009,916,963,055,794,638,595,951,195,786,250,569,797,
506,230,116,680,814,385,491,850,385,256,687,898,015,815,786,334,558,356,643,
164,367,562,176,410,130,766,336,144,417,919,074,540,948,206,452,613,628,931,
554,060,207,520,633,554,525,644,553,053,761,467,620,551,458,316,201,767,433,
318,005,532,404,810,735,539,656,117,307,455,746,792,272,471,702,805,371,077,
164,092,068,132,195,936,361,272,233,450,919,792,411,580,919,175,928,508,860,
920,665,682,071,852,335,817,690,351,053,685,574,581,769,129,782,083,034,504,
562,378,476,115,511,151,137,328,495,785,365,415,928,030,821,859,825,084,294,
924,991,993,629,233,597,602,944,805,713,076,838,492,971,426,930,392,871,759,
988,941,769,912,961,859,795,757,241,666,440,117,239,769,704,454,570,177,967,
379,895,457,236,401,027,284,704,158,361,892,113,624,721,420,326,033,157,654,
974,280,208,248,047,379,998,150,225,763,938,987,700,824,396,768,543,165,396,
277,989,010,349,100,511,820,643,357,993,091,300,555,987,434,193,856,739,813,
797,219,338,577,486,182,530,572,917,390,513,511,288,897,714,106,343,700,913,
791,688,841,443,868,451,043,694,159,429,834,203,353,317,123,736,648,463,765,
859,264,548,807,939,451,207,291,499,093,318,902,229,895,346,030,661,189,809,
551,379,340,313,282,904,660,505,880,018,109,462,797,596,175,703,045,893,655,
894,670,659,073,947,494,896,431,908,526,678,464,866,975,951,795,342,513,664,
599,952,682,903,818,687,326,421,289,062,418,285,645,156,190,653,074,494,424,
237,792,365,226,249,035,058,286,507,037,639,067,549,378,716,559,987,958,593,
015,096,593,138,793,239,995,602,921,912,834,090,417,989,575,155,433,024,998,
650,865,526,600,613,991,006,493,252,049,815,718,373,691,181,877,900,274,965,
426,115,287,737,469,758,307,987,730,695,977,956,266,941,268,236,019,640,129,
373,347,679,533,289,571,659,323,053,382,825,152,803,774,484,241,799,340,694,
081,838,091,563,471,633,846,023,542,658,958,698,363,595,526,745,053,669,594,
434,196,950,776,983,993,063,656,372,671,947,561,874,880,960,358,735,195,796,
835,123,967,400,092,728,680,543,437,964,535,952,197,855,801,216,790,193,065,
858,579,758,380,311,456,493,782,179,177,275,869,428,669,424,919,699,289,351,
376,561,152,384,611,094,527,714,507,246,818,678,123,964,157,163,504,716,428,
651,825,426,455,079,800,475,612,028,179,287,045,070,400,387,361,140,178,051,
210,918,488,665,555,901,586,618,405,739,826,418,815,686,897,408,919,784,283,
975,043,623,450,574,093,230,127,580,117,535,339,483,192,412,972,658,487,144,
874,396,071,224,619,856,862,916,105,353,793,000,155,975,939,728,026,634,417,
146,499,868,749,600,642,337,963,130,478,845,898,417,738,397,438,613,708,130,
687,915,441,617,936,463,412,399,284,932,105,060,467,651,616,825,261,808,318,
072,657,311,577,313,222,486,975,185,232,773,615,566,920,042,073,568,418,180,
077,471,399,047,638,919,258,334,148,068,991,283,436,424,027,001,643,306,406,
443,615,229,655,036,274,277,033,514,765,589,920,185,212,836,398,383,171,187,
108,574,391,903,882,607,927,368,882,000,896,194,359,723,389,296,389,640,568,
497,225,552,366,279,140,160,829,515,211,997,915,261,674,606,750,847,477,188,
362,166,662,079,250,495,364,478,518,799,556,014,743,655,844,366,081,811,042,
533,249,255,872,100,023,301,702,523,147,920,505,300,335,948,180,115,065,561,
601,859,761,105,315,799,725,731,140,021,695,193,770,828,546,579,337,265,605,
298,763,309,245,671,744,695,706,859,027,461,690,830,146,088,248,251,619,599,
312,190,055,561,730,936,587,077,991,750,147,128,099,219,970,280,884,222,163,
732,873,275,790,304,637,887,389,281,230,181,118,343,279,156,632,113,937,987,
341,326,340,819,421,014,383,951,974,387,905,764,533,848,333,654,714,330,382,
672,987,228,090,197,623,211,939,055,988,196,152,025,215,002,057,360,053,868,
709,756,609,901,557,218,397,036,737,527,872,212,003,119,368,081,406,132,511,
989,703,417,500,246,783,867,511,277,576,942,258,672,835,595,874,618,310,717,
039,332,487,016,395,489,076,862,577,135,865,776,432,779,633,729,269,622,869,
604,351,097,181,103,340,417,176,272,796,021,399,419,881,183,102,445,543,878,
738,442,993,828,239,723,314,850,219,051,007,851,797,473,427,652,018,156,813,
264,676,299,441,765,803,441,321,013,544,065,409,936,139,801,436,211,026,501,
825,125,964,102,839,972,156,894,297,504,368,456,874,908,713,157,465,764,739,
460,166,115,703,763,294,355,108,518,955,193,572,448,631,299,882,715,130,621,
785,694,047,915,005,770,092,102,356,498,230,787,301,675,008,560,799,115,014,
296,809,419,662,567,632,776,182,079,091,156,246,191,055,368,699,685,790,514,
952,933,818,294,139,616,855,084,940,148,346,339,798,262,066,935,707,126,537,
573,231,535,041,029,066,234,941,544,853,583,091,566,040,284,689,295,384,782,
972,651,709,509,313,167,038,554,561,365,055,278,815,848,365,527,045,304,845,
237,419,897,106,407,053,220,607,210,059,338,040,979,288,523,789,020,824,552,
484,699,129,560,974,719,689,545,243,149,172,453,471,197,760,368,846,894,368,
011,726,180,742,360,971,647,331,304,896,241,526,540,402,956,270,041,173,085,
024,652,018,170,179,138,164,644,438,842,709,045,211,386,821,690,653,217,726,
240,304,714,434,810,117,115,031,325,084,659,769,303,641,371,282,057,431,246,
408,618,529,890,751,701,919,559,789,761,960,413,245,499,870,141,008,708,972,
298,169,476,603,390,911,124,801,362,627,698,913,238,827,148,055,378,470,635,
042,524,141,541,400,478,191,978,501,415,548,254,308,490,955,488,381,934,075,
813,018,481,825,097,375,738,040,077,243,905,339,736,529,527,851,663,546,411,
068,006,009,577,742,459,235,048,686,755,341,428,904,224,886,374,578,787,214,
790,578,042,524,446,250,036,344,783,233,813,482,785,243,957,049,273,632,921,
717,586,325,388,972,535,925,710,020,283,202,377,732,899,250,990,163,429,707,
075,016,203,461,776,095,088,368,635,513,563,313,414,776,935,921,125,565,582,
465,963,366,193,219,529,922,260,100,125,292,037,265,701,807,291,960,565,151,
607,133,040,814,709,241,363,784,688,498,869,396,230,787,509,806,970,677,374,
479,743,873,108,186,326,339,380,906,938,187,324,702,494,862,626,152,034,019,
144,401,999,905,753,689,456,154,580,894,406,577,206,418,606,914,002,628,672,
092,960,548,615,621,143,801,470,420,178,702,677,850,567,416,438,781,230,228,
744,539,747,891,063,400,405,781,836,728,359,839,758,073,578,100,110,920,075,
845,370,447,648,292,656,096,080,511,511,668,378,749,117,663,988,599,728,480,
824,039,845,178,592,469,285,168,572,760,962,264,777,223,455,962,126,807,583,
411,847,202,829,561,732,340,252,391,126,899,548,270,749,640,462,714,445,419,
873,956,816,927,175,108,377,948,053,736,670,196,991,297,266,106,964,721,396,
902,043,615,804,941,848,164,618,870,426,265,638,401,664,253,974,435,051,018,
980,094,241,630,660,509,938,928,181,658,165,682,292,894,303,315,719,486,117,
847,435,910,649,828,214,905,209,406,412,901,241,860,478,214,941,710,234,959,
512,930,938,100,420,735,073,538,242,723,043,564,147,071,346,514,283,234,264,
075,199,788,048,139,624,453,626,516,412,801,620,158,633,517,991,008,951,048,
857,491,798,689,049,146,540,538,127,187,893,429,165,170,946,615,425,574,966,
150,818,496,204,422,985,558,298,173,347,763,315,180,440,233,286,704,707,235,
733,990,923,512,057,319,127,234,251,879,045,296,438,829,982,842,453,535,664,
682,851,239,271,820,814,421,980,623,866,470,924,622,825,264,842,513,166,360,
358,309,302,268,289,194,661,834,550,957,396,144,266,413,047,276,426,688,404,
834,382,518,209,279,838,437,263,288,822,252,021,837,746,162,028,303,547,892,
571,098,543,334,113,466,671,642,114,511,804,558,148,752,807,569,710,762,442,
930,406,411,987,873,638,654,773,363,239,030,895,854,497,725,117,108,478,846,
847,111,009,642,490,374,858,397,126,240,105,025,960,440,556,711,774,563,808,
091,414,390,160,897,134,200,152,066,421,374,806,627,384,159,090,946,427,047,
251,172,607,659,913,804,117,647,400,047,120,913,658,060,198,677,129,325,791,
695,443,822,791,280,384,439,172,613,876,933,189,630,069,489,011,270,768,355,
052,218,108,844,995,218,907,722,074,968,369,108,601,995,301,790,903,141,588,
193,922,673,445,663,362,354,089,156,252,681,671,282,112,828,050,836,422,689,
388,395,191,542,451,627,343,197,473,730,439,044,447,661,031,541,618,536,041,
577,437,193,414,204,487,766,729,449,864,519,031,466,497,831,529,784,686,136,
442,767,799,266,750,244,246,193,886,552,758,821,691,352,640,311,786,533,548,
855,826,196,441,215,997,647,509,053,477,915,386,921,749,198,767,264,741,965,
995,836,558,809,187,958,623,658,239,328,685,685,419,695,312,944,040,210,585,
025,146,854,720,790,312,755,877,869,968,621,881,422,248,721,510,108,790,360,
601,827,319,729,558,469,596,539,122,353,080,891,761,633,941,718,271,148,433,
437,113,440,113,957,475,263,418,066,329,979,061,715,649,964,963,762,155,947,
989,618,075,635,128,108,047,388,418,981,475,250,479,378,358,587,112,447,706,
968,198,727,995,104,660,424,324,270,644,978,747,510,964,896,865,743,620,492,
875,958,862,169,447,662,693,110,037,969,805,075,715,604,535,058,213,409,306,
863,479,858,475,392,291,687,459,415,988,637,113,847,765,678,603,451,258,930,
804,953,501,549,739,919,014,475,196,632,337,283,771,234,363,095,328,443,065,
869,862,540,577,696,155,666,274,010,734,670,619,341,070,534,810,256,628,245,
202,417,600,149,873,365,875,534,556,319,966,080,888,097,163,607,161,016,611,
061,189,553,696,031,413,158,481,366,083,005,961,655,987,251,128,906,806,235,
564,875,035,425,178,326,899,183,212,532,655,936,255,333,819,503,326,730,727,
915,160,393,427,083,732,700,970,272,318,086,823,442,827,988,795,050,610,438,
058,264,397,328,397,909,732,232,068,809,181,466,581,420,510,476,465,164,973,
352,655,974,300,693,379,438,394,298,204,295,044,531,161,201,944,362,427,319,
856,027,303,324,831,680,959,660,022,991,645,748,418,073,824,850,418,328,066,
130,266,111,238,053,513,049,438,604,031,143,209,489,678,613,008,972,108,371,
947,630,987,936,362,190,474,366,960,286,441,461,159,460,107,231,594,840,423,
874,651,615,036,999,558,740,199,578,060,709,692,067,140,917,620,890,587,599,
579,292,662,213,446,084,343,668,995,524,175,257,345,525,935,265,185,625,559,
013,687,208,041,082,110,302,175,787,573,965,349,063,360,724,580,752,026,629,
019,609,453,237,554,896,366,749,089,745,249,192,489,005,857,735,479,154,451,
632,993,264,919,220,890,146,327,626,541,431,841,095,908,928,866,613,980,053,
491,126,513,810,426,621,461,119,718,335,068,422,564,635,781,236,424,873,919,
633,811,612,784,065,906,189,399,897,246,012,650,959,931,809,768,483,848,320,
708,618,557,287,309,432,898,537,795,962,396,929,354,437,248,493,929,411,656,
951,238,688,012,071,670,851,162,305,098,073,121,701,425,215,928,301,889,720,
211,411,034,276,733,920,243,750,023,920,259,791,032,837,772,958,151,434,601,
285,619,595,465,209,479,712,958,689,008,882,996,933,659,838,005,100,430,903,
063,064,862,836,806,736,773,587,046,529,669,432,919,670,886,901,684,659,598,
041,654,559,471,202,725,966,242,995,373,942,752,613,319,474,852,674,717,777,
294,610,298,471,794,891,151,364,943,360,983,350,409,582,764,824,688,710,425,
360,821,270,400,374,128,991,969,889,649,579,767,659,277,575,805,905,813,822,
687,988,043,161,562,883,108,195,042,793,535,553,768,087,243,279,875,420,648,
935,559,736,516,254,492,741,626,418,923,331,435,683,578,381,236,354,200,296,
832,609,053,377,600,300,141,224,415,038,156,631,724,580,627,088,409,649,587,
405,171,730,661,405,978,586,647,409,477,715,191,209,063,766,367,330,709,587,
963,282,317,708,561,028,961,675,834,434,772,955,441,070,260,220,360,878,712,
743,923,010,602,671,377,673,042,680,594,820,797,380,394,598,551,125,050,039,
193,177,862,139,351,509,493,520,827,252,467,510,842,354,984,565,225,428,926,
775,362,945,828,073,905,898,122,615,390,566,539,607,654,506,544,115,809,924,
649,838,063,172,775,067,810,767,233,235,257,041,206,447,349,431,512,515,140,
524,275,726,811,548,543,739,791,007,689,849,849,006,025,678,361,622,856,233,
676,675,696,721,652,421,001,638,514,626,631,758,187,397,359,182,009,079,788,
237,968,080,536,186,707,319,623,290,960,897,656,724,329,226,278,371,277,054,
099,982,095,860,752,585,493,831,101,609,784,451,331,700,174,449,114,613,713,
185,756,894,786,999,418,202,245,466,763,388,649,565,107,546,522,523,706,780,
982,077,880,311,134,685,464,625,730,868,658,925,730,394,151,912,813,666,795,
014,310,325,171,217,526,916,743,353,089,666,874,811,679,231,314,173,302,358,
553,658,591,279,837,389,687,304,255,906,101,393,130,821,211,091,699,193,857,
966,893,159,493,081,288,709,745,884,364,695,954,703,581,533,489,567,042,348,
130,560,909,206,875,091,590,334,809,814,982,295,559,744,816,748,969,343,490,
472,288,532,939,110,142,807,837,145,478,710,655,730,780,344,725,789,101,476,
356,274,363,704,494,067,883,637,257,771,064,253,528,016,649,014,175,942,600,
378,598,841,417,051,799,325,630,766,166,608,655,052,233,114,313,626,203,571,
806,303,757,075,156,427,982,998,331,326,986,441,270,771,973,668,193,412,136,
986,405,340,272,956,224,311,758,392,076,271,507,394,570,126,881,676,095,802,
814,774,617,515,639,177,676,839,935,897,992,966,733,862,372,477,504,373,139,
602,943,379,629,511,153,115,960,677,487,182,251,190,185,517,504,511,114,525,
895,885,876,236,241,041,730,672,484,197,966,821,960,110,091,271,775,001,527,
678,801,742,269,718,321,103,455,320,280,932,394,496,560,597,962,880,736,916,
624,494,252,698,577,795,562,239,644,030,291,443,106,297,473,352,378,176,775,
563,739,788,236,092,530,063,290,521,049,998,176,933,403,205,903,860,009,253,
338,031,263,364,037,600,972,823,278,084,118,700,943,443,578,458,586,031,878,
163,961,510,860,690,223,553,526,168,797,591,668,833,665,609,309,263,115,715,
381,166,817,711,458,578,062,095,439,330,490,997,910,281,737,257,392,334,198,
478,778,992,447,662,249,134,985,859,564,260,405,871,591,771,491,377,898,537,
844,495,125,070,376,416,743,736,087,088,554,785,933,150,672,087,500,649,268,
016,245,002,461,846,607,711,583,508,380,275,294,805,332,471,601,108,700,898,
061,535,121,761,417,905,021,798,851,022,975,754,656,352,587,159,313,710,065,
506,249,045,906,739,791,031,201,934,323,074,267,428,792,510,948,191,745,700,
067,782,216,170,138,182,348,761,694,649,231,054,422,518,539,955,761,511,823,
101,323,587,229,795,786,330,127,891,140,087,270,356,404,857,908,454,186,871,
376,009,167,311,553,245,308,321,495,759,582,696,099,182,500,548,774,322,616,
436,285,407,403,428,904,712,625,041,017,806,923,840,450,901,549,755,075,186,
354,932,064,830,859,450,913,068,125,754,444,283,661,093,033,093,940,779,352,
727,691,037,230,655,720,462,451,781,266,476,561,207,920,779,221,275,703,961,
943,368,971,968,185,662,280,694,384,400,903,261,454,609,241,338,907,069,969,
525,325,168,476,517,785,858,924,778,419,980,365,614,371,376,864,765,709,216,
952,177,942,973,791,283,094,052,221,949,128,139,400,741,240,383,180,893,929,
651,488,405,613,353,604,209,716,166,391,704,551,777,337,562,194,664,994,516,
133,635,784,531,713,742,710,970,785,934,033,996,375,618,474,997,434,101,786,
279,958,907,798,385,434,836,327,983,762,686,833,089,307,485,526,797,695,450,
305,938,976,773,985,927,945,242,538,517,845,707,003,025,414,808,218,176,213,
577,496,574,024,297,996,909,082,754,631,683,068,304,764,708,382,710,632,683,
016,103,606,169,958,270,921,261,409,205,817,600,978,612,508,165,850,877,151,
500,954,569,939,292,250,340,519,376,105,950,801,033,238,529,927,482,563,224,
970,653,036,887,826,668,826,128,888,521,057,560,363,205,341,454,478,965,439,
215,065,706,111,836,653,558,453,596,638,258,821,337,349,607,849,851,036,144,
374,668,065,748,457,752,477,063,473,822,372,408,525,571,932,304,825,006,463,
653,328,215,481,227,854,798,082,617,099,285,930,605,056,816,372,890,612,633,
253,035,195,314,926,353,476,458,261,436,001,190,154,016,502,301,813,005,762,
222,237,389,289,854,287,444,477,398,999,368,396,323,159,455,056,303,956,102,
125,489,536,402,203,199,352,272,861,337,574,741,743,477,263,703,607,059,342,
476,238,443,050,411,428,645,483,817,058,374,409,624,395,964,771,445,221,765,
369,049,265,707,822,189,655,824,208,537,138,559,768,400,097,750,222,575,413,
407,543,864,055,084,773,448,965,410,003,630,590,441,161,212,688,192,837,468,
580,209,894,933,259,894,301,203,671,189,156,256,012,662,162,198,947,454,370,
967,465,805,892,371,820,519,997,646,748,626,112,340,307,864,481,011,220,171,
132,053,151,356,485,729,698,866,309,254,242,152,269,322,001,842,156,054,295,
588,782,798,690,131,375,248,856,026,192,681,308,604,687,732,531,501,473,326,
756,198,554,752,511,054,676,882,604,320,503,685,783,904,967,298,834,529,114,
167,334,898,334,733,381,907,649,704,465,189,948,854,345,680,928,798,774,705,
515,136,860,938,069,933,308,199,188,837,124,997,858,889,215,154,411,688,697,
705,383,577,110,752,357,118,801,581,705,971,529,740,590,155,696,964,854,384,
719,888,075,990,981,655,385,379,521,329,184,640,564,601,351,005,860,625,783,
388,631,309,261,624,660,084,383,728,669,705,037,242,323,127,789,725,082,025,
402,127,042,067,092,661,924,145,872,592,044,175,023,184,956,579,684,390,016,
521,698,371,864,870,699,819,783,282,883,769,218,817,583,640,775,801,578,948,
495,471,452,190,343,221,972,943,192,954,806,438,979,121,417,250,947,319,477,
714,661,510,451,508,664,511,562,679,587,492,554,709,058,874,542,470,560,291,
576,553,685,027,681,342,948,219,751,313,115,453,427,827,631,100,491,001,767,
681,777,473,850,805,114,757,517,959,270,598,744,820,829,371,875,421,584,699,
311,307,783,205,501,938,949,914,207,093,448,158,109,032,870,305,713,108,843,
061,178,505,504,074,179,655,144,968,072,208,239,365,702,357,722,626,280,009,
989,645,263,441,353,187,070,154,153,828,794,999,252,651,705,989,001,181,384,
694,564,497,939,655,872,272,915,972,891,914,186,174,372,409,340,884,405,446,
443,968,872,290,643,308,591,733,377,189,656,411,487,918,142,830,719,262,432,
925,400,351,704,987,308,952,523,500,942,331,982,461,638,231,143,597,105,303,
277,310,773,532,691,312,273,251,224,538,136,225,443,313,462,422,540,252,236,
499,534,227,359,136,153,666,698,763,525,200,733,822,141,220,110,676,465,189,
937,841,154,394,488,353,532,497,782,601,082,959,636,066,155,907,551,124,070,
877,064,391,948,235,580,061,839,092,315,435,389,140,652,048,616,095,713,751,
718,492,477,648,234,941,822,033,392,530,751,998,019,498,652,362,804,841,764,
593,267,331,140,876,301,484,146,554,711,852,130,072,840,481,158,360,463,365,
020,783,708,364,530,637,062,979,471,098,206,808,336,276,101,619,376,096,200,
827,059,182,846,687,617,716,433,247,259,331,856,075,830,165,514,642,303,085,
169,588,932,269,531,943,569,796,757,666,064,449,203,628,506,562,584,302,293,
464,867,751,477,438,487,699,500,508,968,202,549,739,007,463,046,134,856,058,
776,689,995,521,882,727,183,656,586,416,210,548,186,852,948,690,358,956,464,
339,012,508,373,089,596,050,314,601,450,681,760,709,844,343,260,410,749,242,
339,699,087,944,201,207,448,446,777,609,256,792,140,056,046,144,198,212,122,
661,222,964,439,932,099,525,701,230,913,931,541,243,922,691,532,273,925,692,
829,036,324,594,780,671,531,108,397,446,073,671,104,567,260,206,623,155,326,
718,438,281,249,846,180,284,965,075,325,879,143,395,028,105,000,171,841,780,
737,397,419,222,594,645,098,640,469,370,783,976,722,569,921,551,878,912,298,
329,173,153,497,602,972,305,452,645,177,046,482,138,779,680,413,505,685,311,
193,165,520,025,280,026,134,011,231,783,611,517,422,838,563,150,235,359,338,
538,028,248,357,877,393,998,325,438,481,304,046,643,907,127,742,083,302,089,
572,903,718,016,656,837,146,939,371,882,665,535,268,445,719,265,973,203,131,
200,928,106,029,924,363,459,275,857,544,804,688,107,618,331,086,398,080,596,
207,231,419,317,680,233,605,008,923,584,156,678,538,497,757,453,040,175,637,
335,095,660,858,677,262,226,852,647,018,722,462,832,320,368,008,436,480,934,
137,577,842,318,845,941,314,989,575,523,136,166,589,908,275,903,752,676,695,
030,490,276,353,551,170,824,005,953,536,690,250,328,875,180,492,679,439,466,
312,473,881,855,862,825,903,734,279,490,550,318,741,783,395,588,890,929,142,
846,763,146,162,539,501,173,137,337,690,948,671,562,541,610,307,006,059,195,
838,045,386,710,203,722,413,863,348,929,761,785,911,279,932,785,961,446,803,
374,983,205,282,586,179,851,997,965,353,505,621,095,821,534,083,983,280,745,
202,277,473,051,306,845,968,538,790,030,537,595,653,070,593,322,935,771,762,
995,070,219,895,469,279,086,726,598,369,074,033,719,224,730,929,834,503,581,
520,903,327,306,157,312,118,058,540,396,007,025,061,840,128,679,736,468,211,
706,543,327,279,570,759,249,050,562,180,844,005,005,360,904,807,171,761,398,
880,970,525,115,547,541,390,223,147,994,679,850,170,029,147,636,669,174,802,
371,757,097,970,321,278,965,952,714,465,079,462,545,432,243,014,253,062,215,
111,550,038,778,456,209,950,729,456,623,373,046,293,985,936,963,619,010,230,
428,786,123,009,741,502,567,779,853,617,977,457,518,045,252,429,994,650,504,
648,664,713,932,180,801,543,754,873,702,811,161,304,474,475,306,465,324,523,
441,526,541,812,550,461,677,205,885,129,889,805,374,571,617,815,486,609,635,
164,018,240,811,415,467,979,193,609,118,775,800,622,488,534,838,171,111,859,
458,729,339,135,383,797,560,579,167,915,029,891,652,480,939,531,420,745,685,
594,915,361,487,145,508,781,041,379,684,752,106,155,391,686,973,637,104,018,
257,712,624,679,937,602,938,882,155,868,031,368,307,479,461,461,216,624,212,
185,294,061,679,531,884,059,710,722,946,857,039,888,473,047,560,600,863,434,
335,851,118,725,642,364,057,018,002,133,467,857,656,635,007,795,490,642,608,
863,402,015,703,547,539,042,098,066,322,493,906,874,095,649,032,098,578,709,
204,960,219,095,732,416,711,481,268,530,298,347,213,048,021,031,599,823,676,
276,344,411,253,528,137,905,530,738,042,065,151,753,298,701,730,081,487,197,
094,885,575,640,703,788,968,767,164,959,420,204,799,148,351,572,245,580,955,
996,581,616,484,985,173,302,881,919,326,605,770,124,646,073,181,697,236,953,
734,435,658,782,270,677,203,983,460,868,318,694,763,139,614,862,708,728,990,
340,427,690,545,578,598,522,191,171,391,345,360,934,780,793,556,528,697,511,
690,844,996,175,731,640,670,404,914,285,354,033,052,316,697,982,049,156,644,
842,446,979,556,110,099,067,610,095,174,131,034,272,919,689,563,844,793,740,
515,599,699,161,997,915,206,409,429,064,110,720,319,189,609,202,131,286,511,
696,241,357,616,626,050,454,238,395,355,017,501,278,880,805,525,259,647,684,
591,804,700,058,768,544,859,282,155,149,270,123,310,924,033,922,748,186,173,
534,984,004,403,282,196,080,377,213,028,709,993,523,631,051,688,899,307,346,
194,561,324,702,311,531,875,354,490,251,922,507,281,629,277,628,147,176,952,
514,565,961,846,834,875,835,325,924,839,370,275,470,386,121,729,346,520,808,
343,747,964,706,187,263,422,895,015,727,323,775,051,999,324,373,814,209,626,
359,111,779,824,740,765,978,785,365,938,286,363,713,880,329,958,215,341,071,
892,872,890,583,476,340,747,205,207,341,371,498,704,318,190,081,267,047,415,
419,208,747,774,895,937,178,401,349,913,488,789,960,560,406,270,105,475,355,
818,474,892,341,497,521,653,894,924,758,884,684,887,936,578,143,486,415,813,
632,732,519,641,228,095,140,438,819,239,558,128,882,718,515,844,149,685,159,
000,817,154,093,695,930,860,886,010,053,916,545,207,529,357,285,510,999,408,
178,673,760,696,691,143,130,343,897,258,750,437,541,479,725,634,784,255,644,
118,280,016,477,138,074,861,185,442,283,313,972,175,683,552,322,995,883,052,
903,394,715,020,706,225,074,459,431,708,928,539,152,587,878,929,828,178,824,
069,683,263,300,705,712,762,337,449,515,869,879,554,097,429,480,426,627,234,
642,708,012,314,800,206,626,174,048,275,849,966,693,442,378,706,113,532,133,
329,148,250,495,627,847,886,025,131,047,883,408,940,833,845,156,139,477,436,
981,855,537,621,106,557,154,638,742,319,694,685,061,588,965,081,330,173,776,
204,379,222,310,610,421,490,027,261,362,932,794,055,276,054,647,391,313,502,
511,682,358,711,744,487,299,963,735,363,035,762,841,415,291,202,161,039,913,
926,477,530,705,782,500,573,435,486,972,004,263,458,375,486,584,182,693,550,
524,661,053,216,284,036,176,847,983,522,337,806,855,083,440,163,260,938,989,
460,681,457,540,744,619,098,372,290,626,527,568,213,654,027,940,511,465,978,
058,227,140,054,941,963,804,971,547,068,118,040,807,959,095,653,462,756,702,
352,085,550,076,125,074,158,236,161,690,781,687,763,186,860,021,922,840,137,
996,462,837,848,337,312,319,369,757,565,508,179,037,131,987,059,957,225,197,
727,336,715,208,688,134,552,944,109,594,413,149,065,528,312,925,829,824,250,
593,209,038,156,888,093,958,063,232,645,012,515,955,726,759,509,025,191,967,
687,575,144,240,197,480,788,814,846,200,037,210,980,826,921,420,776,378,376,
667,665,231,506,778,983,800,285,719,941,055,788,595,213,938,377,930,590,094,
270,249,462,410,303,723,640,850,171,515,419,316,821,839,176,462,797,288,899,
009,821,402,117,507,842,181,159,995,513,918,131,761,911,099,297,576,176,097,
268,385,047,134,236,856,791,215,467,206,929,174,987,105,802,665,094,475,413,
135,895,600,634,617,605,478,949,148,152,899,439,645,568,319,704,762,313,908,
017,468,647,266,743,800,191,667,535,327,485,603,025,708,230,219,413,757,026,
481,447,728,047,812,152,299,487,894,253,365,307,659,166,357,003,625,952,470,
729,717,783,051,046,278,455,861,057,009,452,596,094,931,915,649,327,149,998,
151,406,363,932,646,033,661,731,100,281,616,832,984,975,552,951,883,763,496,
949,884,636,030,452,399,227,000,392,709,613,748,028,349,613,489,377,788,390,
611,761,778,066,149,886,379,236,160,911,363,884,905,229,351,742,606,064,444,
339,769,492,712,456,150,461,518,501,382,647,095,496,102,768,356,825,420,401,
478,022,591,900,089,179,404,193,068,691,987,032,823,955,892,753,798,220,168,
276,589,358,668,493,296,728,626,899,391,317,928,265,963,921,153,742,234,458,
590,733,445,193,445,472,307,685,800,915,901,440,149,468,117,967,230,673,420,
407,170,774,908,946,625,462,059,313,228,756,587,553,736,897,409,317,835,514,
502,212,515,896,930,585,488,885,803,158,249,469,770,519,136,154,775,532,102,
351,113,638,906,383,139,192,342,453,915,099,096,278,622,443,514,193,558,132,
246,122,328,556,185,363,896,746,188,853,751,736,203,188,712,620,424,280,284,
920,449,879,678,712,486,954,341,368,515,900,859,284,358,180,126,532,537,869,
736,484,869,199,409,029,060,177,240,136,184,229,810,666,213,684,523,191,788,
512,674,295,987,529,597,685,501,352,654,990,335,681,757,984,711,955,754,766,
016,099,164,213,172,639,704,313,957,049,902,253,359,165,411,408,057,335,377,
379,187,781,779,581,793,144,056,710,476,846,717,863,683,633,788,753,629,321,
394,350,209,857,165,069,235,425,866,172,555,189,825,293,106,685,614,398,853,
410,107,390,181,488,299,485,090,195,150,491,523,574,295,412,461,497,324,182,
884,892,149,339,669,451,647,326,482,286,516,708,028,841,533,006,781,690,416,
674,608,329,451,349,367,367,665,689,820,218,393,795,831,651,217,433,859,871,
843,363,326,481,553,212,410,054,704,043,129,544,368,800,263,139,616,246,874,
954,120,889,123,772,378,014,954,545,044,833,660,951,129,774,317,660,960,075,
096,947,183,054,376,104,899,616,915,068,978,952,490,523,893,972,115,699,689,
789,053,071,996,060,591,197,220,101,716,378,307,416,097,644,386,367,968,653,
399,593,904,248,207,043,545,859,236,809,836,873,617,540,200,060,547,604,239,
001,896,734,505,701,637,909,070,342,270,863,813,913,068,221,842,608,756,647,
760,882,460,013,479,306,873,060,033,243,873,315,340,894,378,571,201,935,903,
845,856,563,860,365,314,962,426,636,650,226,762,082,932,035,861,525,925,786,
876,926,949,515,836,597,730,503,442,244,321,357,219,527,557,671,068,194,661,
540,373,577,811,388,445,031,712,185,248,114,214,724,504,625,587,152,756,206,
109,195,900,308,727,908,409,293,421,598,706,543,008,324,154,576,355,383,938,
086,736,503,339,712,865,977,495,365,172,052,930,187,071,050,129,188,883,873,
671,421,280,174,513,635,673,481,023,155,654,880,719,880,596,767,641,519,208,
021,538,613,160,252,947,807,604,155,349,930,423,916,498,587,695,226,644,105,
632,080,385,790,342,925,257,978,136,690,330,443,074,605,486,779,803,090,937,
119,730,767,437,021,478,294,151,587,598,297,813,112,063,081,855,240,082,065,
089,718,655,442,188,319,380,095,490,655,287,232,013,346,080,352,783,821,338,
347,722,945,245,784,474,720,792,427,954,321,426,806,016,197,791,234,939,240,
870,136,724,268,282,850,760,793,885,656,490,277,806,958,125,531,462,875,989,
205,405,212,007,712,006,410,686,915,952,195,394,514,950,132,755,414,583,131,
856,134,064,364,004,751,442,202,361,098,548,253,140,045,790,057,939,958,532,
873,322,670,424,701,061,023,216,764,217,166,802,143,773,601,440,862,254,600,
586,424,548,835,628,679,348,776,790,632,888,581,891,944,587,092,281,442,121,
226,551,226,205,460,334,239,394,119,010,870,514,953,848,306,252,961,577,519,
302,269,790,881,104,615,867,795,953,646,602,372,290,652,489,995,384,259,589,
782,544,910,564,695,914,460,187,441,791,194,036,523,470,967,487,285,545,908,
198,258,993,456,884,763,053,350,025,690,558,534,632,391,616,230,931,293,024,
947,189,425,128,933,487,298,690,035,266,139,605,922,122,320,765,737,018,556,
587,674,797,122,209,745,537,330,000,404,598,326,836,965,536,985,347,504,304,
556,774,469,725,860,654,962,505,127,668,417,020,983,775,748,442,133,798,358,
642,871,996,131,795,249,500,999,574,871,572,145,188,179,015,659,918,546,899,
640,599,480,116,686,817,801,207,982,176,128,416,107,097,702,241,926,264,663,
889,444,564,690,911,317,029,478,081,289,028,508,380,606,505,931,760,357,200,
491,083,695,336,364,765,653,885,177,320,638,979,287,703,449,619,555,512,811,
198,663,674,483,853,367,067,329,260,292,173,421,629,875,148,370,864,828,729,
635,177,538,281,008,785,599,728,078,949,213,152,061,296,458,801,984,159,977,
073,129,537,121,625,623,171,075,502,695,914,041,580,356,080,532,750,614,547,
488,090,961,439,609,335,202,102,433,153,606,351,128,371,207,019,429,429,482,
704,392,616,619,259,267,073,586,212,115,239,966,771,954,242,658,024,933,135,
218,229,246,485,599,613,245,265,174,198,390,960,774,126,895,438,861,503,046,
075,033,456,422,129,667,161,423,759,860,667,560,922,004,642,922,166,097,170,
843,397,378,169,019,066,346,912,849,854,733,618,052,226,545,885,474,484,707,
375,632,449,025,741,705,793,918,892,690,466,167,263,293,170,019,093,086,560,
942,754,896,328,256,571,674,371,375,709,839,831,066,901,038,306,662,640,701,
181,569,368,098,421,791,262,512,374,244,043,189,843,271,740,725,553,296,743,
563,928,634,847,563,384,395,715,753,014,294,985,140,013,207,979,941,815,653,
152,996,573,071,642,135,967,125,349,476,567,640,618,690,387,421,814,164,226,
232,620,520,174,655,759,475,162,836,407,588,744,346,662,506,508,474,623,979,
766,265,084,506,163,880,358,689,765,907,720,083,338,774,884,056,006,498,859,
633,003,317,258,036,329,528,159,571,271,860,783,077,674,109,885,360,710,333,
418,715,674,266,320,284,335,940,776,724,435,934,355,850,522,112,429,881,685,
356,678,046,073,747,238,674,686,064,255,706,895,031,407,287,878,628,272,819,
771,639,556,590,557,312,814,518,012,247,352,731,906,618,277,360,750,450,832,
760,652,271,642,878,378,376,602,692,546,351,990,135,426,582,518,373,667,274,
210,669,957,536,295,040,051,373,869,637,780,917,140,957,959,327,950,060,137,
638,691,342,069,082,648,928,845,604,153,551,045,674,339,679,578,839,611,287,
323,515,171,092,931,482,196,040,352,307,027,062,502,279,201,357,909,690,483,
177,106,477,354,311,417,767,339,330,758,651,324,282,018,014,428,524,752,908,
531,323,449,893,931,674,834,570,156,317,413,543,657,485,362,787,627,980,935,
967,480,832,894,983,826,606,141,925,557,456,149,123,847,266,393,115,246,629,
588,408,676,401,156,248,327,676,499,545,102,706,192,974,940,896,811,134,205,
564,953,038,220,757,999,231,122,468,951,716,677,484,299,588,802,295,338,086,
703,759,694,279,334,694,245,972,000,693,287,259,982,925,833,854,902,241,319,
933,277,765,960,904,122,247,451,331,231,387,245,767,167,674,485,843,582,002,
519,435,642,232,373,609,055,107,214,135,788,169,387,980,473,204,278,294,673,
815,317,313,103,090,191,654,760,624,092,014,819,953,394,605,085,860,075,912,
998,113,558,627,825,984,958,441,179,513,594,855,547,722,804,386,482,912,660,
199,931,716,786,827,518,582,325,151,070,865,029,831,570,339,576,583,699,682,
678,527,563,970,250,526,667,835,516,610,335,647,549,324,970,013,432,292,583,
424,237,320,035,800,785,005,989,270,798,170,845,484,534,331,133,467,161,139,
886,114,148,105,581,198,036,051,883,266,481,113,417,563,584,124,468,501,653,
588,717,058,886,715,740,427,316,761,485,698,267,711,707,474,600,522,909,598,
103,651,972,248,726,294,869,389,321,694,216,715,694,096,168,950,999,806,706,
817,646,128,654,769,140,282,795,472,557,120,851,228,183,443,112,376,430,528,
387,500,053,694,799,119,348,840,087,785,014,844,327,173,419,295,777,670,810,
513,717,214,547,578,166,082,278,767,973,456,616,690,118,432,143,723,729,055,
486,073,827,583,648,654,718,245,931,519,245,549,459,478,320,270,781,781,111,
951,586,697,408,086,586,059,096,038,195,869,549,737,617,199,457,819,333,697,
851,365,370,514,899,944,346,083,764,956,754,489,776,601,698,325,616,937,827,
804,589,235,886,741,650,646,881,184,604,753,752,693,656,938,629,292,168,993,
983,816,139,514,183,809,797,599,791,103,166,631,765,224,201,624,397,294,405,
921,573,975,318,830,344,374,499,689,120,336,534,785,948,645,939,980,625,790,
973,664,322,782,611,362,717,139,203,383,461,903,883,010,630,447,126,178,920,
689,734,565,627,314,705,650,909,248,165,183,633,049,123,874,066,508,524,333,
804,352,757,012,396,199,130,586,234,093,118,787,816,943,366,199,346,027,087,
064,326,634,465,082,921,965,213,918,461,249,522,285,998,910,807,758,457,207,
944,578,701,279,691,760,897,033,083,191,630,171,977,717,019,072,416,147,058,
237,162,212,650,017,892,328,127,987,645,577,874,551,339,727,213,439,648,742,
291,476,938,349,793,525,348,970,709,095,329,715,857,591,731,754,459,419,614,
404,104,176,096,501,002,335,893,855,062,957,182,405,791,596,738,131,132,575,
160,978,606,713,545,208,459,785,292,715,664,133,923,889,397,920,527,202,901,
035,050,330,608,899,676,580,649,962,438,293,343,184,266,380,715,747,158,863,
817,764,781,166,592,260,766,711,682,600,269,717,279,112,922,287,243,077,848,
768,168,739,254,477,035,470,393,898,161,991,843,788,315,915,178,687,072,307,
690,586,276,753,022,963,770,336,616,886,595,561,769,492,069,806,820,293,131,
099,228,107,281,292,549,050,884,993,354,710,811,247,368,385,229,720,178,633,
658,290,809,121,764,567,123,950,008,913,325,479,310,163,905,459,966,303,562,
183,238,804,484,613,587,063,744,687,676,517,574,739,344,511,754,995,835,994,
401,315,069,810,167,862,654,129,430,934,358,882,569,336,610,484,746,776,690,
959,098,383,004,128,430,683,482,421,377,818,901,763,989,906,836,180,399,132,
611,492,707,166,348,249,903,961,849,491,646,111,057,724,153,657,388,091,864,
768,019,199,279,875,550,737,606,840,840,215,315,309,164,358,081,550,446,426,
006,772,494,902,419,828,453,005,475,015,129,369,751,508,688,292,825,685,326,
537,054,870,413,186,394,013,576,710,085,492,733,112,953,358,153,911,574,757,
321,016,336,959,462,705,655,539,778,733,589,197,801,381,269,589,122,877,100,
705,106,049,379,708,174,781,081,007,608,275,790,385,202,826,177,956,294,909,
255,786,286,231,655,060,536,214,278,798,740,213,049,190,048,997,995,078,642,
789,123,813,478,167,268,964,473,863,224,780,890,951,184,509,511,757,589,299,
255,892,309,011,994,483,347,947,630,781,092,400,840,320,674,808,319,939,088,
538,923,297,597,668,285,723,166,381,599,532,089,916,967,033,602,534,301,815,
025,457,460,354,717,963,665,063,684,320,354,962,484,666,351,973,831,753,177,
555,991,475,070,447,262,117,570,310,759,219,541,724,145,478,206,524,190,932,
407,582,042,948,126,399,558,621,030,510,506,003,349,983,648,035,506,349,226,
388,512,930,239,182,849,244,248,584,250,001,657,698,695,205,072,652,241,005,
500,571,637,889,002,041,609,402,270,505,429,722,789,487,951,393,126,550,234,
312,170,672,762,656,832,920,698,327,526,232,662,310,357,369,966,025,800,977,
907,076,585,152,340,529,573,442,167,293,094,528,148,131,841,163,325,521,200,
206,997,085,761,955,114,425,050,276,214,807,767,845,068,194,952,939,891,853,
776,035,129,980,728,828,519,310,453,380,221,792,482,401,100,036,319,353,050,
925,090,532,974,191,225,635,634,502,798,710,318,606,244,154,984,088,075,218,
929,014,553,623,427,913,401,908,035,215,717,550,906,646,500,271,401,185,139,
783,575,075,343,140,695,903,411,961,953,875,004,345,522,466,860,602,250,004,
041,755,281,488,468,327,398,989,183,856,976,575,387,964,934,549,978,744,296,
833,381,153,392,478,084,683,936,635,415,922,907,168,818,757,365,092,596,572,
723,286,390,627,425,937,861,974,195,709,464,504,677,943,880,898,255,898,360,
657,112,385,382,665,012,299,522,138,534,506,856,909,717,256,886,257,942,845,
975,742,093,439,830,599,677,205,775,173,879,974,917,150,411,585,886,545,353,
970,012,782,075,067,877,362,339,976,554,801,382,635,157,691,857,397,274,065,
936,484,036,532,596,671,624,071,240,153,928,269,731,055,428,811,950,914,872,
489,470,749,841,028,378,437,534,140,747,623,507,191,026,213,949,218,456,311,
920,508,894,514,573,540,235,893,103,307,197,230,211,748,563,598,176,163,023,
461,145,719,836,144,666,216,525,472,367,807,673,821,208,239,060,162,512,607,
628,306,930,254,968,797,384,362,142,726,225,629,044,975,057,923,145,960,721,
462,646,597,667,508,241,733,375,002,722,416,838,084,849,728,322,845,532,854,
916,277,856,108,000,012,949,451,531,149,979,479,612,090,573,673,342,236,942,
123,028,519,642,507,697,114,464,123,718,859,919,272,536,764,395,010,035,325,
015,007,676,517,805,052,103,170,617,389,057,163,768,755,195,794,218,689,331,
000,360,319,124,004,207,722,643,937,523,125,377,483,675,266,432,975,328,266,
757,687,497,510,537,130,589,465,234,837,652,925,512,183,029,494,496,429,605,
383,336,516,217,931,259,155,461,090,219,503,361,766,196,711,756,407,699,449,
421,991,323,435,982,269,442,461,516,168,952,610,643,992,810,395,664,299,173,
915,775,055,449,689,631,845,083,085,429,024,567,252,474,402,672,109,467,323,
143,592,620,448,804,154,235,084,811,391,776,975,304,566,695,597,837,305,461,
849,597,377,367,487,106,389,148,384,378,548,790,329,168,947,671,524,628,941,
533,720,330,382,775,790,647,412,438,281,630,904,161,663,391,851,487,043,269,
342,142,149,010,042,377,933,648,554,056,295,914,884,280,838,978,190,054,655,
705,717,496,948,876,221,743,698,508,006,673,415,781,698,364,271,828,691,304,
676,539,188,081,105,509,449,595,055,519,546,680,073,254,282,917,882,401,899,
938,694,137,429,852,089,922,225,658,450,963,092,253,241,437,719,420,587,729,
581,364,883,651,954,576,876,940,293,803,491,114,854,144,799,820,116,877,314,
989,947,823,452,787,284,395,969,622,473,532,203,125,235,732,641,350,532,623,
406,770,056,972,195,666,626,120,564,626,037,701,300,213,217,366,090,360,226,
815,119,270,568,170,471,517,345,131,857,549,353,847,552,004,843,859,960,877,
092,410,956,465,221,616,882,722,971,530,102,366,615,975,143,794,234,559,249,
112,413,719,528,288,495,831,350,831,406,705,746,100,266,418,164,906,576,385,
819,157,108,251,746,040,295,051,917,605,843,548,338,534,433,198,859,040,184,
566,702,632,751,084,863,462,108,778,988,610,755,744,269,014,968,766,966,195,
098,123,399,633,033,153,021,425,085,129,658,176,585,486,107,117,417,408,994,
192,955,773,478,006,351,325,785,219,057,383,789,712,811,195,092,063,809,437,
980,779,896,096,050,942,048,494,697,158,307,838,130,047,822,217,180,916,317,
354,412,617,029,212,756,922,942,434,420,106,185,700,334,531,847,463,442,764,
961,553,614,490,606,636,538,251,345,098,146,506,385,439,367,684,792,123,782,
316,102,533,062,658,217,248,936,301,840,138,656,312,473,234,415,323,648,889,
588,682,708,145,292,047,023,762,432,294,940,756,661,655,300,481,462,633,961,
725,084,424,181,699,104,293,279,608,030,727,940,907,499,446,394,162,280,280,
774,686,921,379,860,413,606,923,794,335,128,216,727,126,715,034,228,656,926,
102,262,422,253,483,586,113,831,770,601,860,758,200,342,647,524,189,745,692,
067,617,644,495,573,362,705,982,864,491,538,207,982,686,475,995,488,006,002,
767,465,470,332,829,811,232,512,509,200,518,036,132,964,931,843,883,973,503,
550,313,276,660,306,381,537,400,246,217,708,422,162,764,247,478,923,336,329,
446,429,577,973,354,018,652,295,210,350,158,632,567,776,703,234,453,466,487,
207,970,198,534,214,274,923,082,058,902,071,181,634,041,340,482,751,863,385,
037,178,154,499,997,201,225,766,345,941,111,452,396,906,770,391,284,400,282,
208,862,005,820,061,363,350,010,898,998,133,636,053,635,649,421,377,958,901,
996,083,484,514,382,242,578,164,207,677,126,228,313,190,331,010,701,148,221,
038,971,437,071,445,202,814,442,675,286,828,256,622,223,311,853,884,343,909,
591,721,865,051,336,532,876,225,561,069,372,355,355,503,440,216,426,135,289,
176,852,853,790,574,927,378,269,458,776,094,444,125,167,540,811,622,043,740,
805,049,990,653,274,582,684,971,293,026,703,006,817,235,602,573,370,733,347,
875,157,042,583,782,791,465,312,649,085,129,107,468,664,260,072,969,587,469,
244,692,739,667,745,142,877,132,089,381,340,382,845,773,743,361,546,316,202,
836,316,723,821,670,925,119,623,597,825,313,862,780,505,195,244,365,323,141,
447,878,701,585,358,698,750,133,855,619,930,421,533,257,668,117,527,750,435,
510,020,204,828,683,930,970,890,482,089,056,663,518,688,472,552,973,653,782,
302,560,902,670,235,181,434,398,423,574,488,298,547,893,092,146,706,761,825,
396,274,563,248,717,965,697,627,806,221,609,124,789,105,346,128,976,055,225,
217,425,608,663,300,689,906,345,906,667,920,812,476,817,771,719,394,543,085,
305,278,033,579,180,175,692,136,579,945,186,446,440,080,865,406,588,205,703,
427,589,918,933,793,139,771,263,647,123,681,668,320,198,527,730,551,614,439,
191,091,461,511,776,756,621,742,282,039,342,921,670,370,158,517,033,297,890,
631,841,637,709,134,062,211,829,019,584,077,731,630,404,352,470,134,941,245,
408,211,719,305,135,985,649,153,290,048,427,973,700,202,861,367,070,356,587,
088,585,729,260,827,212,806,478,678,961,264,467,172,894,598,132,862,596,062,
558,725,587,922,170,186,969,179,204,159,568,073,268,083,769,666,305,696,088,
112,891,345,557,446,261,574,374,882,072,053,805,362,557,609,410,577,500,121,
898,638,285,579,084,127,362,316,482,450,030,237,410,863,976,612,948,784,778,
859,762,684,999,244,087,447,020,727,157,618,409,130,507,992,664,339,518,118,
494,661,690,029,196,068,815,452,737,022,867,976,480,184,390,981,767,707,857,
628,706,326,740,239,435,562,832,433,496,889,951,585,057,228,220,372,401,439,
686,439,674,708,397,748,120,555,615,125,821,814,527,722,114,330,010,512,831,
788,549,408,718,065,272,979,225,239,175,943,675,336,581,910,272,853,307,001,
850,584,787,530,039,869,722,983,779,338,891,836,399,435,735,923,956,524,296,
973,340,518,634,354,153,294,638,275,519,975,675,873,632,063,983,359,324,819,
666,526,941,657,858,902,332,162,894,720,202,603,541,574,348,561,603,498,990,
226,377,274,598,138,822,680,186,538,449,816,117,758,132,006,853,726,867,709,
885,624,699,006,635,291,155,841,235,647,005,860,416,562,748,657,097,988,321,
299,132,094,556,127,714,382,040,157,080,065,329,265,290,030,392,791,750,570,
296,206,776,168,743,797,562,835,385,080,604,056,016,203,668,551,521,968,043,
074,499,980,681,015,885,022,577,268,041,215,750,300,825,080,688,794,576,545,
538,620,214,116,407,688,002,781,818,369,899,239,658,832,055,391,307,024,851,
962,262,096,815,564,765,990,657,121,634,747,415,354,584,357,369,908,102,713,
598,887,403,709,624,586,839,515,537,879,701,293,282,073,465,862,606,451,736,
425,884,636,097,453,760,649,995,464,719,108,190,229,987,803,551,130,313,076,
703,115,423,164,489,188,881,418,889,777,370,168,120,681,525,598,088,812,991,
661,770,745,350,557,852,650,653,833,733,163,045,351,683,851,701,424,599,130,
230,972,297,237,360,790,820,075,896,287,730,810,946,934,662,144,286,595,798,
050,143,391,228,844,702,367,009,672,646,266,244,258,304,357,461,292,426,611,
538,332,095,413,764,178,334,493,996,227,675,284,953,566,555,407,662,306,946,
248,406,122,474,937,152,307,481,670,332,316,038,957,890,751,166,248,264,293,
092,070,502,604,516,910,529,638,360,876,559,565,325,085,614,351,272,954,171,
775,016,280,730,595,573,726,844,728,018,373,465,472,041,111,829,108,284,547,
641,301,435,702,019,817,772,060,466,797,938,909,024,379,495,048,686,332,879,
616,675,758,494,487,115,245,922,140,442,767,137,324,296,863,149,994,462,950,
919,647,883,843,731,699,739,614,419,269,875,918,052,317,420,880,862,118,204,
865,286,826,576,568,778,859,767,231,288,763,144,335,107,941,032,150,949,862,
715,580,008,842,185,469,157,900,994,446,483,465,834,242,726,967,312,044,609,
371,637,533,880,197,713,433,458,018,790,739,393,161,956,572,128,993,252,868,
961,900,053,051,020,733,537,282,433,200,678,965,797,800,801,308,235,328,118,
013,828,053,423,587,137,118,877,171,918,817,877,764,536,414,838,190,360,747,
947,146,730,367,874,946,431,201,826,106,760,856,909,209,274,619,469,437,501,
343,125,789,072,460,201,246,686,264,979,172,384,185,002,191,965,832,974,005,
604,618,690,497,708,880,321,344,970,024,983,241,396,944,057,255,943,656,879,
580,178,049,602,948,990,963,585,364,904,429,850,166,869,830,955,673,384,317,
054,051,332,495,092,943,578,558,541,971,269,795,891,560,280,621,129,420,884,
251,084,256,903,198,816,089,921,570,397,229,367,580,904,833,367,877,920,940,
448,986,306,043,200,076,017,891,891,242,663,534,883,075,736,200,933,147,470,
205,552,351,367,856,030,294,997,045,087,675,529,871,915,588,027,420,711,829,
242,484,666,937,242,095,468,351,861,152,027,505,076,314,445,694,577,861,932,
213,736,019,536,208,536,336,320,907,361,074,325,609,168,413,413,711,108,808,
662,655,883,463,312,505,408,920,429,814,341,535,967,409,065,753,445,356,338,
731,792,727,685,369,094,059,250,501,667,405,345,594,349,355,320,914,159,012,
965,505,348,862,385,292,562,939,015,509,664,540,569,882,945,963,997,744,136,
183,480,233,660,884,154,078,316,893,231,667,562,157,673,224,549,489,688,426,
647,493,564,357,806,988,727,064,714,154,825,923,608,655,985,715,316,640,924,
848,180,456,155,138,979,963,490,192,147,777,698,496,891,627,022,050,032,170,
279,486,099,381,696,089,551,012,514,411,806,404,338,953,197,638,727,113,532,
550,165,351,755,330,688,015,087,351,511,038,779,646,827,796,073,477,539,961,
221,319,063,861,943,660,580,965,908,371,003,171,674,017,184,014,938,000,009,
352,693,654,544,162,815,261,925,207,241,185,898,693,304,137,285,674,616,565,
419,918,881,902,643,116,348,724,209,205,633,419,614,108,361,428,248,381,178,
187,618,655,389,788,499,502,876,763,955,156,943,558,756,575,904,759,612,649,
783,135,019,824,680,236,606,412,013,819,877,694,558,463,403,116,237,929,163,
044,303,964,598,533,166,312,574,148,397,813,382,074,669,760,529,130,111,106,
538,886,910,025,792,236,574,569,874,557,826,292,180,606,013,994,094,256,726,
668,858,617,692,935,863,216,003,034,884,274,724,671,801,192,094,395,896,033,
728,370,604,788,862,504,330,654,893,775,595,579,184,273,693,507,441,512,490,
172,676,250,076,132,911,987,987,241,994,127,019,001,558,079,358,904,406,992,
487,806,101,301,754,936,612,287,376,552,270,451,584,435,713,838,555,209,646,
666,369,066,249,220,632,772,134,529,368,743,349,228,744,877,825,468,862,357,
739,747,023,704,834,580,687,500,570,779,038,848,372,935,885,557,377,195,404,
596,465,920,226,069,974,050,084,643,509,875,864,432,608,794,611,941,970,255,
734,012,808,001,490,645,379,522,652,368,002,774,424,317,783,690,337,976,760,
940,223,588,558,289,538,275,108,734,410,034,364,726,822,014,289,220,344,640,
213,590,716,194,653,083,809,499,281,490,329,895,115,345,798,350,660,446,803,
995,633,575,036,824,702,879,819,850,007,963,575,511,006,324,404,276,256,387,
012,094,912,231,817,267,222,949,096,457,249,015,051,671,704,235,780,590,073,
557,877,273,657,905,372,658,672,534,555,241,277,895,430,056,166,477,584,071,
710,642,413,763,419,928,759,440,100,110,269,461,893,214,379,635,455,838,206,
840,211,789,008,238,082,813,492,952,906,127,842,456,668,419,064,222,793,199,
421,892,516,720,538,916,690,344,536,757,940,432,604,691,447,033,450,200,257,
973,023,169,840,763,050,723,018,500,684,067,162,353,287,491,836,244,650,982,
381,732,636,421,004,787,320,599,075,155,033,172,611,203,585,361,011,245,020,
208,924,494,657,811,024,364,756,095,236,825,104,876,976,454,903,360,715,258,
160,140,667,113,369,368,407,988,575,947,700,426,247,766,536,368,742,481,895,
745,121,474,188,658,228,105,163,683,980,330,086,792,063,714,923,178,102,754,
427,804,691,665,962,869,295,120,494,625,679,150,779,883,111,534,617,110,830,
619,543,887,493,796,340,742,798,795,433,928,111,879,066,813,168,314,386,047,
274,265,735,520,606,585,173,958,231,209,447,720,044,454,669,736,344,346,516,
771,163,274,652,227,226,464,581,304,133,002,338,703,326,953,573,269,777,763,
129,181,371,537,673,665,424,361,467,834,041,495,573,286,930,737,228,142,681,
423,604,755,566,913,686,949,818,718,319,941,811,314,575,455,993,755,694,400,
126,068,199,414,680,569,114,941,641,349,901,543,247,217,274,397,601,350,264,
917,780,256,555,281,181,178,129,366,419,837,818,634,301,464,341,678,058,068,
420,027,804,126,041,158,114,518,592,241,388,065,127,962,604,870,348,755,576,
991,376,382,717,561,542,332,807,248,906,616,978,291,203,188,978,868,983,057,
903,879,656,171,903,090,510,277,548,066,003,242,852,874,660,932,595,711,487,
434,451,620,885,151,908,420,364,792,089,165,730,522,750,554,464,706,881,457,
735,527,548,296,486,777,134,898,841,147,991,521,161,846,229,117,220,480,445,
883,083,696,515,396,706,885,255,206,390,191,197,274,683,046,738,250,123,150,
778,771,364,647,847,147,567,874,022,359,052,414,636,400,436,601,957,441,297,
370,818,060,834,677,066,916,789,530,129,430,322,299,299,074,909,022,793,452,
811,858,693,290,154,503,161,667,510,653,464,948,589,351,395,237,675,673,103,
562,467,994,694,022,416,096,629,298,805,635,507,502,921,143,000,208,184,146,
478,818,121,760,783,858,129,836,131,900,072,336,576,955,289,184,414,190,600,
453,798,998,291,173,522,556,050,580,958,467,011,967,439,410,546,312,211,435,
849,312,934,585,773,155,636,737,637,518,503,762,072,687,239,745,493,462,511,
067,899,887,194,697,921,390,568,635,245,840,441,710,962,835,146,591,511,289,
214,767,529,687,971,725,174,362,355,312,621,830,164,812,265,474,679,488,931,
593,781,191,121,606,676,807,173,946,156,752,497,303,744,021,758,861,581,015,
696,935,123,103,170,047,323,769,182,031,940,772,516,952,454,186,028,421,912,
588,598,901,164,331,103,432,709,781,052,259,016,419,889,853,622,999,494,988,
738,616,360,504,925,282,754,671,199,483,927,761,428,513,823,041,184,670,379,
370,689,077,856,098,354,404,787,839,544,938,263,212,570,132,148,492,060,095,
010,541,316,562,226,380,113,913,108,329,216,626,645,518,289,595,228,862,526,
915,962,886,891,200,906,998,872,691,141,884,886,765,446,436,602,674,362,337,
554,127,356,903,237,119,183,778,748,223,448,196,527,319,752,604,861,039,991,
444,909,271,256,197,366,192,304,598,623,523,084,221,567,118,236,111,597,497,
302,676,651,259,701,449,089,507,020,076,629,257,825,372,324,549,018,372,660,
537,996,735,317,326,648,700,847,774,835,500,627,618,041,406,144,693,540,531,
500,796,412,021,816,174,365,075,833,179,804,736,055,881,145,980,671,667,852,
164,484,075,525,793,342,072,921,431,312,738,949,549,132,867,119,198,853,568,
248,617,999,593,052,550,263,818,176,215,102,976,944,959,283,370,615,401,162,
335,331,066,355,539,305,987,650,343,933,743,679,968,316,023,736,778,472,574,
204,996,347,142,057,884,617,171,731,142,600,271,659,126,892,478,989,380,090,
414,066,909,063,021,841,077,312,324,872,499,807,509,034,855,548,513,871,710,
284,710,002,789,948,132,202,981,242,702,867,619,027,239,185,418,485,430,330,
812,010,560,685,637,080,052,749,932,751,618,645,730,361,860,043,338,318,023,
512,293,699,946,741,383,595,374,885,788,894,882,670,212,964,348,678,896,078,
697,591,809,720,381,075,980,704,732,958,198,969,045,574,293,196,081,412,844,
601,186,639,221,011,323,046,739,501,554,195,192,810,772,507,071,614,629,626,
610,092,482,954,934,183,848,021,044,390,985,654,626,486,197,749,012,240,373,
939,188,153,443,380,229,664,157,325,374,879,453,631,023,863,964,779,581,937,
700,555,804,332,380,818,517,972,323,949,173,819,212,841,983,692,859,294,561,
208,102,094,988,653,591,401,211,734,559,725,533,145,734,775,068,786,869,976,
632,856,192,684,199,705,985,057,157,050,418,982,849,106,739,545,564,770,415,
697,952,590,275,396,592,269,954,784,674,836,312,700,800,485,370,256,784,766,
749,021,645,088,602,080,564,226,168,717,348,245,885,069,836,458,832,919,582,
095,733,427,194,225,903,230,987,447,978,567,955,081,006,664,570,616,156,502,
324,253,800,427,848,086,018,792,297,788,243,793,897,291,404,441,662,630,123,
976,042,646,196,624,743,811,533,339,346,921,212,876,891,234,776,990,693,645,
368,707,492,500,143,397,822,164,190,217,219,516,385,683,226,698,288,781,683,
142,866,009,879,686,431,603,054,659,361,981,737,777,120,686,067,771,951,238,
718,360,972,766,764,945,770,692,230,811,518,509,949,161,519,071,156,425,384,
710,417,439,131,323,414,972,687,072,720,311,105,323,018,716,601,496,479,309,
266,450,397,815,022,952,159,449,836,942,772,953,548,024,410,691,542,470,312,
445,624,443,668,845,825,846,183,184,329,816,525,230,331,649,319,450,779,722,
318,803,879,717,146,742,893,104,391,341,417,709,150,124,570,036,294,746,053,
932,349,270,736,625,111,011,496,520,859,545,456,095,411,797,052,906,490,616,
457,595,865,198,850,771,572,726,506,735,832,642,569,209,336,163,800,515,673,
615,037,036,062,919,280,821,896,264,274,698,608,700,956,863,063,755,507,023,
678,884,192,969,074,896,451,233,776,515,887,004,418,226,392,295,856,582,945,
653,124,620,908,290,751,159,318,955,806,706,709,047,598,421,119,709,981,350,
913,543,443,078,217,625,157,582,291,781,119,211,676,003,075,145,160,827,523,
495,195,790,373,479,010,666,805,770,022,929,481,040,010,859,336,250,722,723,
663,475,096,217,498,262,614,171,501,476,371,708,394,527,293,263,246,580,944,
433,934,394,922,813,991,969,273,508,910,162,527,961,203,555,956,061,872,867,
699,329,816,196,930,192,752,189,477,753,293,535,564,486,700,082,226,484,400,
342,849,551,828,873,227,051,187,583,928,839,735,513,739,529,168,316,242,958,
280,452,265,098,239,676,356,231,430,837,981,034,222,297,234,853,803,109,584,
192,107,904,554,684,389,037,932,648,433,823,509,357,606,610,479,946,561,418,
246,944,634,820,087,175,219,123,415,861,887,111,261,608,511,931,507,179,869,
503,384,742,084,986,731,625,397,843,656,022,930,470,008,867,928,914,372,573,
808,776,409,316,890,439,691,596,260,860,710,699,293,990,372,212,564,458,836,
457,514,074,429,305,852,904,436,732,900,919,944,585,211,070,035,019,624,288,
494,166,961,593,762,890,708,488,104,646,249,432,070,849,086,032,497,283,531,
612,060,708,078,743,299,577,752,345,600,693,998,755,022,288,354,705,384,344,
280,736,273,207,524,878,731,555,357,313,310,320,896,108,211,755,852,551,439,
984,700,388,378,667,074,841,089,396,054,688,563,887,820,424,674,166,377,423,
491,699,260,938,209,303,589,279,334,625,864,887,151,090,936,546,325,974,751,
156,472,876,273,242,427,938,968,764,370,292,714,357,403,162,990,291,959,258,
538,468,940,252,558,620,823,041,086,510,767,007,672,754,606,597,026,981,947,
850,208,828,266,087,358,138,041,403,575,457,387,238,567,853,125,766,555,338,
732,224,119,312,698,637,667,241,596,294,336,366,441,302,256,813,307,103,231,
413,859,211,391,395,193,227,171,007,338,726,679,507,828,199,759,042,647,997,
261,312,971,771,957,562,267,928,530,625,928,879,303,774,328,622,411,251,025,
428,026,615,864,749,261,173,705,223,136,998,239,962,182,088,930,164,272,617,
078,396,636,220,261,639,877,291,306,525,738,918,723,319,749,938,881,195,297,
488,593,847,822,622,747,614,696,700,294,986,894,537,365,584,129,368,568,329,
867,856,651,615,764,413,478,319,486,023,510,546,002,359,918,372,442,565,175,
078,311,541,221,363,031,558,816,992,515,227,137,122,472,665,146,078,416,871,
921,950,459,404,271,941,507,620,716,020,059,271,875,139,351,367,082,594,972,
828,077,742,505,402,472,388,275,342,378,710,220,069,703,527,427,412,391,421,
411,293,468,639,951,118,026,529,784,686,714,255,332,046,141,104,877,225,182,
437,509,880,669,456,782,849,916,479,060,632,828,950,668,694,437,683,426,417,
745,606,700,582,884,168,699,942,999,220,167,888,553,648,548,320,195,023,828,
701,445,278,541,864,616,156,337,762,740,075,619,092,851,493,745,584,078,071,
412,758,981,635,368,359,640,856,594,335,175,171,859,697,816,289,135,165,161,
791,468,383,794,051,292,918,778,855,032,945,936,594,257,217,824,780,314,244,
599,811,125,709,808,236,571,301,911,320,176,003,921,182,034,839,737,225,109,
338,052,802,437,495,774,325,333,733,722,880,785,303,667,740,580,144,696,957,
244,722,991,599,430,615,161,412,329,131,778,009,079,737,050,633,976,716,806,
861,644,345,760,524,522,266,722,837,847,424,609,554,099,504,218,108,115,248,
026,725,476,473,771,614,001,708,029,850,191,701,429,310,934,043,904,581,799,
285,585,239,336,914,611,254,955,084,133,547,288,883,511,027,199,744,705,029,
862,198,306,441,561,640,467,117,452,131,890,775,516,551,807,171,839,665,155,
592,085,817,432,928,075,473,879,992,561,882,809,925,021,120,552,474,396,465,
382,155,084,304,763,634,867,337,288,086,329,205,092,942,178,592,791,401,398,
525,887,296,681,966,770,607,921,394,066,894,823,671,693,709,255,301,284,395,
857,634,377,673,500,864,483,986,503,664,865,245,937,611,418,106,096,281,390,
145,675,267,152,900,387,098,851,367,224,205,148,206,374,218,018,254,885,553,
981,699,438,959,729,678,074,878,846,998,527,678,943,808,250,243,702,410,227,
551,188,658,876,791,209,010,715,235,889,405,376,490,866,711,080,163,958,478,
854,836,496,262,024,208,748,636,501,898,842,784,909,569,309,687,907,041,742,
833,931,348,298,721,910,544,236,256,210,335,836,105,666,903,910,746,192,489,
474,662,642,483,952,649,931,019,956,203,080,635,052,003,331,117,477,377,509,
337,556,499,488,068,454,674,907,891,257,269,377,747,032,040,452,030,332,013,
666,015,985,191,798,914,456,030,426,519,079,584,916,616,854,363,003,282,724,
423,820,582,625,037,233,863,611,478,842,068,895,225,999,438,241,450,895,023,
392,412,789,421,267,547,293,562,017,864,915,881,084,272,553,550,723,801,012,
376,330,119,425,076,649,112,374,916,837,186,010,888,585,221,450,088,814,678,
795,790,698,387,100,894,689,137,960,036,929,076,380,462,705,142,048,596,274,
244,664,062,022,064,788,384,594,503,386,719,693,053,035,042,548,354,031,316,
227,631,275,388,248,803,569,871,335,676,264,933,928,912,327,750,505,958,019,
503,374,392,342,329,464,462,206,883,139,406,749,838,735,850,427,949,623,466,
740,706,594,780,678,981,132,960,427,676,668,307,433,016,737,217,464,621,777,
179,512,402,843,686,153,649,401,965,596,182,000,484,175,575,622,255,910,985,
497,985,748,967,397,280,259,766,386,472,176,536,862,312,080,940,156,522,767,
742,992,754,222,507,123,348,246,657,241,778,047,548,351,495,658,374,191,860,
094,703,169,028,663,490,082,212,839,954,103,023,727,970,345,410,134,691,596,
046,086,497,641,374,170,666,092,885,235,731,761,124,896,453,470,096,302,434,
569,656,383,096,948,537,864,109,615,025,534,068,959,752,900,379,430,875,717,
356,220,910,644,494,873,784,199,084,888,217,900,156,722,449,691,769,591,440,
800,629,530,835,728,697,211,187,703,891,116,717,579,993,636,025,331,472,020,
240,994,078,332,083,949,391,854,092,131,425,507,277,868,313,359,809,066,336,
566,419,794,003,831,045,219,014,628,375,863,227,176,343,966,923,469,342,245,
999,367,174,601,212,719,710,622,810,052,304,142,891,423,459,056,110,216,950,
961,471,408,825,073,087,276,116,696,363,941,549,566,940,285,441,506,758,766,
439,122,904,836,103,413,194,090,158,417,695,739,362,193,694,194,059,749,102,
300,160,247,313,983,790,188,834,822,501,114,497,841,327,583,278,252,195,645,
664,504,700,964,047,784,870,989,301,485,578,578,802,441,122,541,004,021,723,
765,379,704,544,551,460,965,422,072,298,420,222,914,490,375,650,716,920,744,
095,079,132,364,900,099,580,156,450,705,183,105,450,150,717,657,647,187,150,
530,180,420,666,022,056,068,199,717,567,052,547,669,426,840,766,989,552,997,
245,110,295,183,502,942,515,424,695,761,082,563,652,365,046,795,317,617,994,
028,687,449,668,712,670,144,390,269,066,115,903,306,507,740,186,763,616,435,
653,546,057,250,994,651,255,058,048,495,721,526,848,660,335,192,766,550,334,
081,827,291,861,748,858,888,189,979,879,549,216,117,383,962,342,756,067,920,
085,305,024,056,071,978,694,295,200,892,489,329,122,493,982,439,607,507,502,
729,102,562,422,013,091,717,967,699,626,064,973,609,297,612,314,658,597,263,
277,609,196,962,766,185,065,762,310,629,100,851,335,887,569,606,874,655,873,
186,053,714,329,885,761,618,212,973,691,040,359,223,401,988,188,486,065,151,
643,435,501,464,832,449,826,778,143,433,450,801,208,169,444,403,055,253,460,
763,858,351,934,372,420,901,765,227,407,864,649,043,848,217,098,603,138,658,
102,673,946,571,883,290,352,205,574,611,425,986,208,504,032,901,500,199,765,
635,115,706,054,444,244,848,227,885,039,400,852,114,470,412,480,005,402,050,
506,874,520,653,405,157,100,375,117,441,511,884,772,572,211,116,204,827,288,
361,436,353,288,902,590,698,774,663,904,003,994,611,281,587,598,449,738,152,
092,909,777,771,941,092,857,538,237,479,699,675,515,440,806,466,394,788,950,
954,862,702,028,348,866,182,571,691,709,695,444,429,019,820,287,918,573,253,
936,346,866,128,532,744,635,176,244,715,135,889,650,565,222,691,442,307,130,
130,032,640,429,516,913,660,710,665,612,122,141,723,687,323,804,923,460,516,
257,054,782,448,660,578,800,121,141,899,662,225,935,464,902,789,024,186,457,
663,939,776,332,497,111,661,999,524,545,803,744,806,722,474,078,931,499,367,
233,192,402,904,717,160,306,121,354,561,810,734,019,162,778,291,566,060,039,
719,167,849,595,998,569,934,988,364,097,065,199,027,365,601,482,791,309,447,
956,730,890,983,835,941,839,652,158,354,653,097,057,859,459,300,504,654,311,
800,245,306,781,555,929,472,761,047,717,947,293,097,250,563,713,808,743,912,
045,685,493,759,276,561,194,675,857,981,555,721,555,567,465,690,754,689,011,
515,025,331,005,143,755,835,491,584,077,533,951,828,720,613,986,540,012,135,
731,775,910,532,162,263,100,526,869,109,090,109,061,600,295,442,050,194,527,
014,085,085,393,979,539,730,624,812,417,351,663,819,141,509,370,703,780,219,
386,782,771,663,013,483,719,796,688,718,365,650,922,925,278,519,810,036,253,
937,215,743,084,841,204,465,782,286,942,713,812,862,196,928,590,143,233,658,
038,334,059,838,286,611,563,587,792,613,901,878,866,901,862,556,196,978,236,
232,844,800,694,046,224,810,963,611,727,162,246,328,157,184,221,941,233,566,
407,846,954,443,199,467,298,775,580,250,974,045,333,522,081,538,981,722,585,
851,550,519,703,904,043,914,277,322,085,927,993,981,864,265,661,700,480,127,
313,438,679,703,980,343,915,912,667,257,072,234,896,697,189,850,925,874,439,
684,058,162,878,654,975,222,476,728,684,636,895,658,480,698,156,687,019,575,
573,584,844,328,712,607,622,802,351,597,331,217,609,408,730,867,201,427,794,
544,072,774,060,642,417,216,132,669,808,594,953,902,489,956,747,768,368,759,
199,641,887,226,005,740,527,536,746,783,374,013,404,666,824,134,634,525,867,
958,893,202,558,434,405,766,741,079,775,647,301,582,849,333,773,665,296,644,
400,245,030,083,349,519,021,659,510,298,910,429,595,290,559,765,038,751,575,
533,482,817,123,315,879,970,879,625,029,678,423,214,836,241,789,688,873,021,
320,473,094,758,780,740,233,151,450,823,494,928,634,595,731,600,375,569,453,
246,024,708,671,271,786,375,786,475,138,998,028,782,731,429,269,499,309,334,
068,783,188,285,374,781,775,438,445,385,828,971,812,652,964,255,796,560,794,
690,760,476,102,455,752,333,384,156,425,321,182,747,302,614,107,068,804,940,
536,317,565,922,962,649,992,593,960,971,951,320,739,028,065,416,623,563,850,
418,801,996,874,581,519,844,281,898,418,293,031,366,273,578,313,814,915,962,
217,432,139,175,024,472,138,070,129,480,882,153,519,337,671,988,794,219,193,
004,169,966,177,331,744,907,765,368,158,569,182,200,712,467,342,666,348,310,
244,848,804,533,027,403,508,238,390,122,822,425,977,013,449,938,669,454,947,
188,081,795,767,487,055,296,939,899,408,558,467,031,821,171,228,758,590,545,
593,453,455,076,402,618,832,413,785,031,982,376,992,700,014,700,779,502,276,
742,844,968,761,908,809,200,744,475,286,582,075,760,273,050,779,836,604,158,
800,505,498,132,005,912,167,276,396,070,103,358,314,245,286,807,437,105,584,
824,147,878,698,764,436,411,407,826,217,704,798,561,634,407,237,382,117,206,
179,450,201,713,236,661,591,394,516,933,835,973,705,528,800,637,129,646,666,
135,359,021,952,122,434,029,129,676,961,788,994,845,040,392,966,934,935,855,
376,777,228,172,333,270,354,909,792,335,950,921,255,644,795,486,831,662,316,
857,953,389,042,731,884,268,494,999,758,597,476,607,515,949,542,047,675,401,
719,194,633,492,174,811,456,978,656,581,878,204,432,639,541,155,266,577,674,
439,040,171,946,549,904,917,568,285,609,411,921,606,834,780,442,928,958,761,
626,246,007,417,079,116,899,283,134,626,682,487,571,862,780,393,673,265,028,
904,895,191,976,239,656,565,938,560,239,400,904,356,464,855,668,409,561,969,
650,955,511,161,222,146,200,255,969,674,934,509,482,016,907,258,963,312,850,
782,992,855,699,054,557,295,844,930,271,878,612,604,119,582,397,322,041,911,
291,422,357,436,097,385,174,354,540,472,365,368,764,657,761,254,431,906,561,
771,276,018,511,348,240,086,045,547,084,915,484,512,850,681,735,265,266,616,
810,496,294,907,752,117,276,836,367,117,381,696,984,385,816,619,173,530,030,
598,377,836,398,025,708,643,130,383,324,577,734,804,946,431,073,302,180,010,
390,139,712,961,096,837,120,789,845,969,046,717,552,876,661,301,001,749,258,
363,192,416,922,526,595,182,391,097,754,689,641,422,826,238,253,492,926,272,
685,118,058,433,495,503,491,405,600,950,613,782,671,884,376,259,996,875,906,
656,933,800,919,339,079,602,702,432,514,281,848,547,229,953,242,766,811,220,
724,273,999,048,289,699,679,874,609,486,947,040,867,845,996,854,190,680,881,
234,741,133,375,618,343,353,305,469,321,443,982,244,861,812,014,709,365,726,
979,450,684,905,575,931,578,085,508,478,005,070,322,300,802,385,311,478,921,
277,665,842,573,036,672,370,139,913,030,106,742,657,926,072,544,251,628,598,
190,943,090,994,760,773,291,631,635,947,749,978,202,469,666,565,316,836,182,
765,427,255,229,880,605,897,448,611,010,285,719,134,137,046,995,097,061,553,
485,715,523,446,427,647,051,631,298,916,017,805,083,539,231,401,513,866,954,
328,953,530,969,262,303,040,184,047,863,477,785,210,643,210,555,899,647,337,
448,335,157,381,710,267,144,286,079,146,832,817,834,129,578,849,459,666,797,
261,053,326,880,638,591,281,713,351,468,295,505,643,839,054,866,679,280,806,
252,313,450,307,850,925,525,327,185,311,545,104,414,505,182,425,078,193,832,
210,237,138,307,639,209,863,741,273,969,641,997,889,510,784,997,849,818,212,
200,234,274,288,779,899,654,246,898,433,927,980,356,333,967,061,031,311,049,
266,733,555,791,541,271,457,822,564,616,176,234,469,325,875,291,071,085,073,
284,385,988,243,348,311,673,687,072,055,166,375,778,029,165,174,035,527,115,
925,082,223,259,127,973,240,815,772,738,104,273,299,519,422,240,759,221,767,
054,434,581,271,100,580,540,095,572,580,482,449,110,060,721,556,419,368,063,
237,729,094,301,344,252,176,225,214,437,982,930,093,281,794,563,784,729,686,
210,522,658,160,665,277,948,359,117,745,230,622,073,724,560,533,655,404,086,
981,834,828,367,507,547,534,009,796,385,508,191,425,755,337,865,885,565,817,
648,043,039,344,942,906,183,172,922,725,089,723,860,850,881,108,690,889,367,
001,910,962,239,994,713,063,100,977,332,485,785,071,181,418,790,458,018,392,
620,862,952,253,056,376,899,862,377,300,032,529,206,755,277,575,165,063,878,
638,735,242,682,113,350,753,455,918,342,912,605,559,371,874,934,587,624,840,
860,500,571,226,545,229,855,236,188,035,187,842,760,199,343,994,370,728,717,
202,333,191,934,138,047,337,951,011,809,337,741,228,627,847,889,173,176,105,
226,106,980,555,940,542,665,839,177,498,050,656,843,540,210,084,924,926,092,
023,109,196,975,464,927,305,816,726,557,157,714,196,732,721,449,121,207,357,
840,859,718,762,628,872,506,543,125,678,428,239,987,467,922,078,297,777,977,
511,817,564,016,314,735,579,485,865,169,604,865,972,799,704,406,686,168,423,
655,260,988,531,052,526,586,309,845,730,064,416,367,580,777,367,059,078,420,
523,869,469,784,125,455,695,609,543,524,080,804,517,965,530,651,872,290,945,
277,682,824,528,311,504,263,196,910,092,697,676,986,996,608,580,804,924,940,
166,732,491,687,547,380,192,574,881,864,807,415,034,191,854,669,990,974,683,
211,525,634,997,862,709,453,220,233,696,794,945,861,492,544,490,640,007,060,
172,418,072,265,670,005,340,721,915,887,708,328,210,846,113,184,739,419,689,
021,476,973,006,404,283,552,677,561,634,446,518,622,443,065,433,254,597,132,
651,654,924,360,630,622,942,539,481,072,215,134,829,892,492,703,520,574,824,
465,118,650,645,452,488,880,875,710,826,514,893,013,092,850,195,248,243,820,
976,001,765,166,167,708,776,399,880,234,764,978,025,399,513,310,480,347,866,
581,745,312,813,002,895,037,628,397,368,669,372,433,220,747,056,354,252,230,
300,427,435,963,976,053,136,429,672,534,891,703,616,264,083,737,457,145,943,
807,552,032,669,037,988,392,103,939,949,281,323,716,437,742,340,361,160,259,
825,005,500,408,865,847,031,533,060,187,243,987,422,921,672,978,289,864,364,
182,628,464,856,560,600,515,890,791,785,193,277,880,796,486,088,196,682,339,
547,639,961,942,553,956,033,593,255,331,370,304,023,385,608,937,245,718,031,
899,837,574,798,668,805,161,725,366,181,303,798,918,502,850,627,292,615,512,
911,801,306,983,384,080,503,446,150,252,685,894,767,728,588,005,575,933,226,
825,964,791,999,509,933,089,865,866,616,733,187,569,344,194,515,060,670,088,
797,579,062,514,447,531,370,440,493,569,265,832,216,834,715,365,956,955,704,
423,224,304,477,706,039,407,039,717,133,079,037,486,899,456,564,299,388,032,
591,273,250,780,678,129,244,696,184,201,918,697,809,153,484,475,222,008,260,
501,377,463,977,824,882,170,721,960,907,361,756,833,609,328,963,448,121,421,
803,286,611,396,500,732,267,396,863,853,018,571,235,771,726,111,969,534,160,
395,944,017,180,673,861,555,303,547,905,425,729,066,852,202,825,477,198,658,
245,611,506,736,484,607,781,490,389,734,629,936,843,537,277,983,521,661,646,
342,920,603,309,305,217,465,009,627,171,671,218,910,078,998,442,618,554,656,
279,219,957,310,414,628,288,563,313,732,031,023,179,404,901,767,209,648,153,
742,731,181,791,814,756,988,569,677,671,500,656,253,706,207,674,238,717,364,
002,697,808,562,444,142,513,519,562,029,895,793,490,541,190,480,626,990,706,
547,542,103,357,376,723,393,221,570,819,184,506,958,403,514,425,729,796,838,
911,578,985,847,334,624,499,362,974,294,863,278,810,198,449,829,334,360,578,
582,177,733,386,741,641,241,273,194,561,441,050,479,712,556,552,348,770,364,
141,037,566,976,196,419,472,639,236,177,367,570,313,688,742,453,323,643,468,
299,628,226,443,579,368,761,025,771,191,788,309,024,995,453,779,688,515,029,
861,562,256,996,381,098,344,353,853,382,404,214,607,959,416,665,788,725,371,
690,142,413,075,925,665,531,319,679,363,922,286,097,458,222,212,001,966,303,
709,496,183,771,976,449,268,528,673,067,196,503,268,016,014,616,098,734,039,
221,572,901,061,045,937,205,805,574,524,223,973,270,247,943,415,966,575,791,
963,596,768,258,520,925,190,684,466,744,491,658,391,550,566,084,134,724,544,
661,478,414,811,378,462,957,636,836,523,956,643,872,148,608,116,579,479,471,
825,292,928,881,868,833,038,920,275,577,577,474,938,912,550,801,948,837,585,
946,498,470,017,922,244,615,333,176,411,666,431,295,438,720,788,430,415,832,
158,937,332,651,368,252,855,525,805,031,262,662,146,714,285,330,739,474,692,
411,973,592,723,977,047,880,294,925,183,222,258,273,719,568,343,300,321,160,
891,317,880,156,455,760,854,802,880,968,664,430,939,576,206,783,927,018,008,
470,273,317,982,506,007,910,569,552,294,481,402,697,805,851,367,247,993,995,
433,921,901,307,500,128,510,138,841,955,987,131,334,969,777,423,427,445,265,
335,422,566,732,540,789,109,730,496,450,835,986,182,958,750,076,912,827,769,
024,445,076,484,157,941,677,526,641,638,686,134,324,487,771,483,330,408,425,
332,795,881,741,279,601,262,943,456,556,221,699,270,995,878,542,984,533,725,
603,463,351,188,476,051,786,595,914,402,631,624,708,818,861,482,000,703,511,
684,921,587,634,823,256,083,807,614,936,999,756,529,551,111,381,999,337,144,
024,159,791,874,370,616,224,601,462,821,922,380,154,910,115,748,303,000,867,
172,707,653,394,272,964,215,216,617,294,863,307,453,129,497,830,426,390,727,
712,080,831,315,762,252,196,280,009,991,094,914,387,907,992,545,916,661,060,
344,807,541,799,050,115,297,184,832,744,544,247,757,432,906,345,776,090,380,
921,029,747,760,616,627,539,493,564,149,512,256,161,793,499,824,936,245,597,
501,502,860,698,507,727,034,003,015,060,170,103,428,181,232,445,900,619,351,
653,384,044,614,557,845,750,956,045,555,988,067,392,734,622,195,715,950,212,
853,795,651,201,404,923,415,561,460,773,303,196,637,225,765,670,816,411,260,
831,637,591,581,897,552,919,003,975,867,861,720,779,623,851,126,014,624,889,
675,797,015,178,852,559,646,179,872,305,452,639,023,134,939,078,417,895,507,
074,975,537,850,218,901,610,337,299,923,401,968,000,235,313,980,351,926,988,
512,009,158,023,356,275,703,537,068,152,550,840,206,869,345,883,240,854,723,
257,242,376,523,684,582,810,167,632,809,885,199,953,953,561,599,254,872,080,
944,135,621,730,313,695,976,771,500,486,345,556,843,359,626,409,278,368,233,
892,473,858,911,878,647,275,181,289,699,183,544,941,830,720,230,992,390,988,
324,384,485,813,730,112,329,746,002,345,775,574,878,913,434,244,997,390,321,
531,629,418,962,729,602,112,586,862,694,061,236,618,594,710,456,239,324,602,
922,420,126,013,340,844,297,904,263,152,651,409,638,489,757,278,286,287,820,
246,956,777,267,284,010,647,193,778,802,753,329,911,394,743,273,621,033,131,
212,974,282,697,540,122,474,769,913,378,987,180,239,795,002,473,585,690,666,
138,638,559,596,400,913,921,801,259,886,660,103,872,574,487,662,968,444,540,
036,232,547,634,973,348,290,430,959,574,207,487,737,344,962,084,965,985,984,
152,112,847,870,297,198,148,414,602,652,475,863,202,105,617,992,598,512,433,
678,153,649,890,026,175,402,111,346,622,477,794,502,010,098,770,950,366,783,
824,112,619,503,411,142,278,965,027,592,960,600,452,041,546,148,574,164,920,
563,590,941,096,146,882,704,688,137,391,681,127,131,296,392,882,843,989,625,
888,180,546,581,809,326,255,479,756,680,962,988,079,651,058,726,590,844,307,
740,408,228,751,452,131,159,476,093,155,895,984,158,921,213,313,308,024,277,
731,066,034,215,205,227,339,198,756,819,790,150,525,315,452,319,542,386,324,
435,553,145,225,932,501,437,848,976,536,643,448,331,447,921,390,223,302,177,
644,279,704,605,669,323,844,789,057,188,125,433,223,996,671,339,984,888,963,
461,646,361,480,008,439,334,678,839,544,724,748,589,915,412,078,673,502,786,
824,638,788,180,606,186,197,002,855,725,569,424,576,875,360,042,050,458,821,
111,891,844,177,772,130,651,136,504,467,668,108,178,345,229,203,854,948,263,
007,203,823,004,141,696,790,797,043,546,903,116,384,822,324,624,024,002,819,
840,884,139,556,827,753,057,304,799,471,488,311,312,979,729,135,445,548,526,
838,837,748,034,102,887,909,412,737,788,173,529,121,683,683,910,495,094,680,
944,795,134,564,530,850,808,675,998,428,429,912,394,517,330,496,813,203,955,
849,729,112,760,785,335,203,412,381,208,389,643,579,538,512,248,999,193,657,
736,625,496,541,996,849,139,757,844,469,916,209,121,645,310,237,877,214,739,
130,897,415,848,356,179,439,070,512,037,196,638,967,107,488,139,368,315,049,
395,197,916,718,379,122,845,900,713,595,671,379,287,776,420,973,786,666,333,
584,221,946,487,794,684,855,355,208,797,949,611,919,855,631,092,931,454,370,
771,642,739,993,539,404,304,994,654,712,539,781,022,498,615,735,931,236,628,
194,637,608,586,984,151,294,127,113,935,105,187,655,097,877,284,530,051,906,
861,356,476,986,694,803,032,912,807,483,815,780,915,606,517,564,432,508,752,
957,670,604,614,200,744,444,287,284,115,822,504,236,146,312,323,386,831,336,
795,583,918,646,206,397,643,788,337,683,206,908,069,813,141,986,889,124,847,
326,784,979,775,128,051,974,506,510,141,622,711,950,584,938,487,344,306,628,
521,158,531,239,263,040,283,369,461,741,421,033,004,142,264,973,954,666,294,
587,856,034,454,681,266,747,988,926,899,026,864,021,998,490,280,111,848,082,
218,084,234,308,156,883,793,523,387,417,138,512,120,306,367,886,423,135,855,
539,970,290,908,909,032,658,595,557,874,759,189,621,362,797,882,264,268,248,
939,523,244,218,733,464,151,152,475,614,281,221,141,665,098,526,712,558,228,
073,528,786,604,526,287,290,085,083,894,227,324,353,155,464,733,609,338,883,
582,473,554,093,814,639,876,920,068,571,975,943,569,482,209,562,607,035,764,
982,226,234,262,111,841,396,095,564,629,930,171,185,272,778,896,945,893,466,
727,598,748,460,491,375,572,817,008,080,452,061,396,917,572,627,990,850,908,
378,680,751,024,588,808,889,887,203,054,703,432,142,499,635,395,363,811,288,
102,939,821,908,251,441,624,172,220,311,442,866,496,218,566,627,600,046,727,
547,112,378,784,321,216,046,326,394,294,475,241,421,441,886,180,423,757,703,
122,192,879,588,098,959,140,406,766,452,016,866,398,954,075,667,010,892,321,
078,294,749,655,930,715,231,902,499,624,963,196,135,978,342,237,278,510,512,
556,169,353,153,841,803,028,782,969,361,428,550,077,286,349,112,883,790,710,
111,748,590,871,857,183,041,575,489,199,075,826,462,843,561,022,025,929,582,
956,067,397,714,997,176,275,458,253,109,276,989,864,745,159,449,713,533,958,
338,603,931,145,821,804,269,077,894,769,972,953,772,892,301,841,145,124,406,
541,226,191,686,307,445,703,938,069,644,244,223,838,654,494,685,258,310,021,
116,681,294,406,994,139,925,652,258,685,470,273,385,370,941,174,728,277,466,
356,312,059,507,720,585,949,840,735,269,198,296,088,881,507,772,089,758,996,
154,000,745,963,760,466,204,463,671,835,990,842,756,386,851,809,060,091,363,
014,136,523,436,836,112,355,205,994,791,200,294,234,269,556,217,035,918,860,
896,214,682,561,574,700,734,883,784,335,688,571,309,790,220,178,231,658,589,
510,985,718,400,328,721,522,801,916,296,253,947,800,235,206,763,582,037,756,
227,629,709,421,946,829,530,245,556,767,406,641,835,756,142,198,107,919,488,
465,057,981,262,434,255,984,484,181,801,734,683,777,438,814,764,977,089,578,
947,765,280,366,057,934,188,370,064,675,828,185,484,174,380,801,635,785,473,
394,245,091,653,557,957,748,004,459,252,666,587,128,613,277,056,085,141,555,
697,601,743,821,122,689,629,987,580,082,013,174,475,984,370,631,784,992,735,
251,498,947,127,433,375,206,581,161,006,265,197,636,768,511,799,866,800,836,
091,773,868,046,675,083,983,820,043,272,806,538,968,446,074,541,132,972,640,
454,082,118,068,978,269,933,548,243,124,828,323,853,600,964,771,569,860,676,
145,836,718,876,547,555,539,190,786,049,783,263,735,878,573,423,075,329,642,
984,006,417,186,583,790,879,751,094,715,191,349,359,907,505,584,932,386,377,
099,481,773,711,699,033,948,589,919,860,770,166,646,139,449,977,452,738,090,
236,498,935,624,130,316,644,114,489,284,417,006,460,097,026,381,770,303,993,
184,817,331,413,755,200,790,216,143,506,433,980,776,651,112,087,562,240,657,
569,860,001,787,122,421,586,502,143,204,153,592,699,545,168,939,099,776,440,
278,073,593,258,629,160,421,564,870,936,014,351,115,527,266,949,497,062,250,
551,118,027,190,154,663,161,899,530,887,553,793,992,069,742,879,403,455,764,
268,923,953,636,381,954,539,725,117,695,705,912,723,462,770,414,120,376,370,
197,505,239,500,074,885,184,212,260,880,601,316,788,702,632,287,694,878,640,
176,594,662,850,271,279,243,391,245,047,313,182,471,791,746,338,926,268,673,
821,388,150,503,218,788,792,421,554,213,552,554,902,930,499,142,862,852,447,
566,340,562,506,104,010,866,335,934,760,331,877,943,828,309,997,268,039,079,
774,884,720,926,648,824,916,149,217,957,478,381,073,955,122,204,115,735,578,
214,307,893,058,227,624,427,899,553,694,087,756,557,900,221,732,319,393,794,
741,042,608,015,553,808,145,999,028,655,721,438,658,179,069,913,008,593,338,
477,265,467,393,235,394,577,473,032,297,046,048,717,637,429,941,030,629,970,
026,477,597,904,961,021,288,001,082,055,522,799,988,157,325,556,903,325,269,
952,301,004,236,783,636,806,790,478,787,496,586,875,658,405,141,777,091,764,
578,214,907,537,190,373,429,734,748,394,502,671,086,594,827,780,847,693,441,
870,869,546,577,382,234,423,731,682,051,415,964,672,831,403,953,764,560,120,
890,972,777,640,036,793,436,738,086,987,695,817,971,710,017,878,073,497,916,
430,076,790,610,144,468,311,761,528,621,319,877,956,521,228,731,225,599,516,
438,073,414,328,489,980,536,977,194,878,227,169,714,952,112,713,661,134,249,
414,224,320,000,671,808,867,428,429,616,836,563,866,978,053,707,956,221,146,
609,875,891,569,670,625,387,847,155,907,434,307,317,591,424,284,313,684,210,
494,337,902,664,232,029,091,926,146,507,587,508,239,304,434,036,237,892,616,
007,773,638,201,988,323,067,755,141,403,638,963,606,633,917,663,390,181,256,
562,579,142,402,664,098,344,437,525,804,645,260,893,152,191,429,575,062,732,
012,303,528,680,367,595,960,920,387,171,464,239,416,025,988,248,669,246,746,
727,433,356,361,061,767,007,757,623,030,314,208,530,127,743,585,391,563,640,
752,852,159,509,265,388,394,549,049,713,078,496,155,462,759,517,678,627,277,
486,673,234,015,948,131,565,205,958,729,492,600,938,611,259,514,444,919,144,
612,801,194,606,534,803,789,826,598,104,422,985,932,917,400,198,004,328,106,
988,763,162,387,752,130,306,538,364,318,417,836,565,420,748,850,646,464,663,
968,920,815,353,581,930,603,327,311,084,252,485,422,328,394,475,101,152,568,
199,513,867,086,124,600,821,209,643,040,463,414,191,082,404,950,438,229,882,
355,168,784,781,893,102,668,132,100,075,002,611,334,547,341,724,640,924,061,
198,635,961,452,381,435,702,114,543,921,019,097,322,530,459,929,981,130,960,
515,713,253,363,217,350,518,317,492,148,681,411,989,087,480,680,379,309,389,
115,695,976,492,700,442,774,855,634,690,581,662,991,285,986,608,657,380,780,
858,182,351,498,537,856,352,813,802,436,698,850,265,506,112,691,274,883,210,
974,706,527,073,012,520,683,188,060,235,196,284,494,904,209,286,501,950,656,
349,704,013,287,075,678,937,775,522,250,469,784,450,284,462,366,154,445,524,
940,856,544,238,210,580,053,420,271,787,105,074,794,258,075,507,044,098,460,
185,381,063,591,226,544,188,907,968,540,024,360,345,134,280,019,860,535,904,
465,612,103,693,037,542,666,480,805,788,108,592,515,612,440,835,657,151,595,
092,419,646,618,623,118,136,222,892,368,577,159,007,647,191,675,812,072,351,
507,261,515,322,226,700,902,598,645,784,902,566,788,150,693,807,391,154,125,
472,908,897,752,385,325,995,934,377,796,303,256,514,838,196,090,191,747,670,
860,104,234,382,851,799,761,236,225,517,333,860,754,956,564,708,600,397,704,
501,941,691,031,987,809,645,456,060,157,638,246,149,411,080,523,006,536,296,
347,717,416,611,997,080,890,350,698,162,414,721,749,914,097,438,995,860,878,
424,529,914,620,724,580,101,590,811,212,317,230,019,874,042,053,157,784,983,
975,424,840,308,344,138,130,558,079,187,678,571,468,919,319,798,839,704,801,
131,470,484,760,639,382,939,685,959,428,102,969,506,075,881,395,744,225,307,
830,604,095,800,306,729,404,281,353,820,456,474,510,945,975,195,703,192,556,
953,906,642,990,460,852,600,243,632,465,502,892,200,055,327,266,783,137,952,
220,972,568,894,666,241,946,160,546,017,491,788,207,477,175,500,402,201,767,
131,946,900,877,573,549,396,692,017,539,976,848,520,593,427,892,028,743,462,
927,225,791,468,652,704,173,226,493,414,906,026,502,496,336,460,614,034,868,
900,450,791,892,521,711,023,728,767,846,139,818,844,862,175,219,658,043,705,
574,879,464,605,927,799,454,829,577,895,389,620,291,827,208,391,864,596,276,
745,839,721,028,207,010,534,417,831,477,119,953,798,147,216,145,631,059,582,
539,767,312,910,576,117,865,226,985,055,628,134,723,533,429,231,805,428,942,
473,338,764,423,968,369,160,983,969,387,173,034,092,137,934,671,347,966,131,
201,999,654,241,135,208,397,020,545,779,186,643,845,826,315,478,876,848,537,
227,944,262,630,246,767,378,236,915,061,965,226,725,776,193,916,488,680,846,
477,772,038,999,903,610,616,245,638,616,001,463,442,662,237,027,864,173,666,
474,724,392,978,080,686,706,947,975,796,776,263,161,008,729,278,177,727,670,
220,619,788,297,542,370,973,737,139,621,847,898,794,640,003,109,968,753,432,
129,677,577,280,812,220,194,048,951,168,264,706,769,954,978,657,022,816,382,
957,798,363,891,535,950,345,985,341,127,562,976,902,772,833,772,844,781,775,
324,225,447,297,647,367,071,489,074,873,158,518,742,392,664,689,631,079,682,
230,289,776,293,207,550,035,119,509,021,072,595,310,236,518,814,300,213,292,
169,644,546,817,494,486,116,639,969,395,558,112,234,157,081,662,318,343,292,
476,648,437,235,279,765,226,186,707,425,849,388,591,786,599,191,053,126,390,
696,948,400,435,283,140,638,489,906,445,730,191,850,411,581,183,912,040,949,
092,959,600,597,532,107,002,375,104,625,962,518,400,403,979,819,158,333,313,
178,823,896,100,118,601,937,373,496,001,910,017,934,183,865,481,929,570,481,
782,807,511,247,458,029,018,419,620,020,055,857,952,799,091,751,669,249,350,
395,722,777,606,658,578,815,276,944,904,809,287,304,778,833,407,850,404,258,
805,185,135,893,086,109,996,933,906,083,542,436,208,296,268,927,409,119,497,
585,345,046,494,746,624,808,666,777,190,190,340,775,222,956,959,580,826,582,
933,320,299,828,246,500,099,865,190,891,262,971,672,126,688,288,492,780,437,
000,062,092,273,525,417,551,480,216,977,929,160,507,345,288,097,948,993,127,
678,170,179,227,031,263,869,344,213,148,663,865,078,996,334,139,109,383,700,
437,849,451,822,357,321,414,735,100,644,507,203,916,523,926,402,298,942,432,
969,081,878,134,050,363,122,956,111,587,195,026,465,735,907,654,797,078,837,
830,825,410,503,207,325,946,229,429,155,832,761,471,269,367,820,568,665,591,
539,718,583,171,592,412,778,958,698,693,060,306,967,064,474,558,847,953,078,
938,696,139,175,288,472,068,793,616,557,472,751,504,001,047,866,154,104,337,
183,552,778,597,461,936,116,452,280,419,115,490,602,559,825,016,918,207,726,
975,137,412,929,509,907,334,602,639,815,018,525,748,507,449,868,744,821,743,
446,003,887,390,036,438,767,418,217,170,843,533,137,499,851,091,479,102,059,
814,776,890,427,612,084,163,988,898,671,016,220,664,120,935,752,415,342,516,
189,840,269,529,367,629,679,689,326,950,743,457,493,982,816,916,378,695,789,
940,383,514,855,640,459,144,509,598,198,497,602,728,226,119,490,664,289,236,
646,682,085,875,314,789,793,539,992,083,218,770,407,823,123,727,042,788,782,
594,257,606,875,235,487,373,967,192,477,317,259,241,141,953,337,632,930,530,
053,416,376,542,604,716,409,294,399,741,089,498,789,901,289,531,730,996,146,
288,075,268,805,612,384,971,471,884,377,516,430,446,161,442,514,172,723,709,
810,020,121,400,186,757,962,748,530,541,986,185,360,796,922,092,064,772,316,
178,591,202,915,514,346,544,699,312,137,939,874,970,922,911,647,197,718,564,
239,664,462,596,133,214,171,399,072,605,324,096,301,979,769,416,263,497,601,
793,211,977,084,160,524,673,118,588,690,564,783,082,030,802,641,057,584,194,
555,114,633,064,610,184,895,814,146,100,977,017,478,364,153,085,163,495,520,
327,223,364,560,500,696,020,694,267,741,769,703,357,285,446,869,948,379,048,
584,116,197,837,485,913,249,722,479,238,298,127,372,333,887,213,841,580,756,
188,502,067,648,458,960,731,779,556,640,082,935,694,880,125,339,156,012,822,
634,649,391,685,313,691,196,050,276,122,140,782,870,193,485,446,295,240,820,
431,383,284,884,773,628,826,503,593,998,557,974,008,016,103,679,918,011,146,
192,257,984,530,998,085,153,805,084,425,842,025,713,507,847,777,423,119,163,
066,478,922,885,453,614,677,989,368,096,635,976,173,221,691,537,023,383,732,
989,604,544,876,253,069,617,806,399,430,009,133,544,052,098,127,277,667,424,
220,371,575,141,054,553,181,145,485,771,115,512,106,636,640,853,542,773,730,
433,179,311,637,576,747,284,495,759,798,378,529,985,931,943,482,817,152,369,
304,654,224,770,350,336,135,005,896,874,023,553,393,449,819,520,320,399,757,
655,861,492,361,316,564,612,014,083,032,536,057,165,117,273,919,999,806,784,
646,366,176,714,524,385,478,284,463,054,636,145,096,847,784,705,957,954,582,
042,801,857,552,567,596,325,231,032,379,041,924,485,084,072,883,141,927,526,
637,992,849,036,310,959,955,687,800,094,242,919,932,680,763,599,464,541,126,
416,871,677,056,055,492,891,249,349,767,832,712,529,725,880,541,675,548,751,
634,511,041,881,171,970,018,206,493,875,479,100,652,829,624,527,102,897,706,
440,789,300,156,696,854,886,403,860,816,100,174,318,719,423,459,255,151,577,
253,773,685,666,091,490,151,787,762,673,324,553,789,707,440,692,413,778,501,
866,857,550,396,232,517,629,907,980,192,418,368,713,710,867,626,156,199,092,
371,759,239,630,742,726,169,860,299,843,908,021,227,285,247,549,202,195,318,
935,869,708,484,678,352,644,399,308,225,954,055,540,997,108,229,643,842,971,
346,491,005,982,391,766,353,652,537,864,618,006,457,047,258,039,162,091,446,
391,893,617,630,341,916,797,622,321,250,396,641,794,195,857,271,324,809,418,
024,629,373,461,188,159,407,714,482,588,584,896,131,499,407,126,091,023,445,
375,118,827,087,436,793,144,310,376,759,446,055,482,644,248,770,015,834,923,
553,403,881,712,474,843,530,597,941,037,448,137,392,628,643,653,621,247,368,
972,978,849,264,206,875,011,654,372,776,491,731,411,848,692,168,997,928,400,
531,850,816,761,154,790,523,057,066,450,173,243,690,855,689,231,330,776,693,
633,236,376,229,096,462,644,724,730,352,994,780,299,460,239,342,224,616,672,
164,358,885,405,622,610,672,291,993,663,890,313,934,136,356,529,609,820,119,
600,143,228,625,757,369,547,885,663,112,172,392,701,710,144,177,240,808,844,
547,318,388,891,133,450,657,957,334,598,938,060,152,370,792,005,235,346,923,
521,460,256,329,508,034,100,478,804,674,572,986,520,535,512,573,310,992,226,
721,429,654,030,186,873,835,528,363,063,689,103,535,112,380,275,634,061,272,
568,513,949,326,637,844,569,850,126,755,531,243,402,672,364,688,417,930,355,
687,936,029,982,675,837,300,586,340,228,367,473,502,745,208,690,970,767,496,
733,194,923,158,447,057,989,824,341,959,084,949,835,653,903,133,221,536,604,
901,687,407,332,888,821,961,174,748,901,433,925,940,626,544,024,185,043,718,
816,363,636,335,521,840,198,164,475,751,210,343,908,389,129,740,012,797,134,
494,913,342,554,091,165,899,982,337,613,989,231,049,230,821,192,022,334,078,
894,187,443,326,598,165,566,743,971,344,368,679,682,277,419,475,664,704,752,
228,038,349,070,003,994,238,249,357,029,143,045,005,157,522,820,299,069,901,
464,772,926,618,422,547,573,377,819,106,783,232,902,181,657,310,944,910,950,
993,939,832,900,221,404,599,834,695,542,400,092,028,643,530,263,914,906,808,
888,449,695,650,304,696,380,922,081,182,611,258,726,032,094,909,396,820,106,
160,421,879,294,684,768,277,497,500,909,634,149,041,870,456,593,088,358,898,
550,258,646,494,339,169,602,852,232,481,698,967,412,153,052,148,659,423,653,
682,463,520,880,304,677,228,666,907,041,424,518,469,682,299,286,209,429,123,
656,732,447,697,829,783,541,428,808,573,455,474,803,714,376,068,090,036,623,
895,046,867,951,420,395,216,060,360,689,275,850,699,022,538,667,348,744,407,
419,999,275,694,500,247,641,402,221,478,933,596,974,356,824,273,896,605,565,
618,835,267,724,968,512,540,647,928,500,500,005,590,196,250,306,095,972,874,
857,638,279,588,976,391,178,049,816,940,739,703,107,278,314,203,684,750,334,
608,386,675,305,763,264,267,555,407,581,582,580,373,982,269,841,400,801,346,
172,345,802,441,172,733,131,320,999,679,503,841,255,438,943,420,312,411,919,
845,982,198,321,728,011,859,309,227,944,676,365,375,699,089,305,861,724,028,
932,945,918,208,430,048,383,399,860,324,643,260,887,468,585,066,317,743,251,
742,811,836,821,899,943,691,124,713,269,078,251,547,153,663,841,218,800,564,
787,261,714,508,688,708,668,992,236,199,274,220,528,657,397,528,580,453,227,
249,570,323,151,750,083,422,956,543,248,257,080,466,113,225,935,059,507,631,
934,549,270,372,882,748,793,012,215,308,407,992,479,955,056,529,465,970,606,
127,244,844,787,920,883,492,446,594,613,360,116,199,043,241,741,329,774,432,
027,546,914,806,324,703,007,792,477,960,397,492,212,141,530,581,548,696,993,
516,516,745,876,825,918,398,205,137,074,985,046,158,808,938,600,332,245,524,
127,984,543,212,646,550,303,779,247,690,263,515,746,756,231,438,206,145,002,
171,344,907,611,051,806,026,594,567,098,377,280,470,153,646,885,238,413,613,
989,133,731,318,862,604,246,392,247,021,303,404,330,490,582,012,900,417,117,
055,514,404,408,863,216,039,905,610,754,826,435,596,521,442,356,137,605,241,
530,336,618,690,917,160,020,002,340,372,885,967,475,421,899,828,057,272,929,
528,455,390,890,399,078,413,731,838,947,483,533,697,357,477,208,003,841,469,
365,529,276,104,585,132,021,554,957,207,864,855,683,362,652,056,349,426,890,
529,162,494,216,913,828,758,694,226,389,594,862,673,665,900,385,634,574,486,
418,150,948,851,738,108,500,129,176,067,066,286,137,117,193,019,694,521,827,
972,611,510,561,399,983,187,994,949,017,392,069,557,806,629,709,984,674,314,
428,260,656,707,224,652,925,542,991,405,480,453,152,974,963,173,865,339,886,
943,505,668,322,922,711,722,203,058,121,903,919,814,530,543,486,414,813,159,
252,498,081,035,843,443,293,724,508,546,710,811,524,552,380,504,944,547,918,
590,458,524,119,574,700,349,269,263,496,679,817,401,971,653,531,864,829,583,
400,250,917,213,268,386,779,439,801,952,763,484,312,865,731,574,877,251,726,
789,783,895,042,502,076,004,507,862,667,023,300,150,138,118,925,775,409,526,
345,725,051,470,504,196,608,782,677,091,384,422,575,024,416,516,216,379,273,
310,793,250,343,206,314,002,915,720,506,340,671,170,491,950,411,791,872,232,
333,047,338,416,202,527,050,682,450,597,893,981,384,676,340,335,239,650,028,
582,221,441,312,462,436,411,134,845,439,770,283,697,133,152,380,875,801,912,
911,195,673,250,922,720,718,075,593,266,123,115,382,915,229,146,038,270,970,
039,082,765,535,827,753,884,391,801,130,980,885,676,410,413,135,625,150,319,
322,022,912,273,325,334,808,136,315,277,803,902,945,500,621,540,063,506,287,
123,556,084,652,333,026,873,251,363,171,171,005,547,812,123,850,027,965,840,
294,517,839,286,379,468,625,374,800,718,883,867,303,173,518,444,347,389,696,
402,082,668,860,571,652,740,596,458,386,699,092,566,988,854,466,382,424,011,
341,216,970,704,059,783,597,873,057,826,289,320,431,730,289,838,986,880,991,
189,436,678,561,419,072,355,668,000,175,801,324,223,587,190,429,340,036,574,
487,218,248,955,519,901,270,522,548,631,032,718,350,048,954,628,024,534,956,
382,716,989,794,899,757,318,996,849,052,603,136,837,937,462,554,271,828,447,
773,589,560,587,494,302,275,870,576,656,768,683,785,470,558,555,478,604,328,
455,153,416,226,676,998,964,882,766,612,423,527,842,251,434,759,957,348,911,
346,887,282,444,359,359,567,992,753,926,384,314,409,076,225,623,588,503,071,
416,265,496,134,098,595,853,417,931,653,323,276,899,863,243,848,031,148,442,
849,302,489,193,574,420,016,753,893,855,660,029,310,701,832,204,205,634,956,
579,743,406,870,086,639,771,377,267,265,021,001,309,182,298,036,476,135,412,
921,260,004,088,379,004,689,659,447,551,626,081,739,348,793,685,784,203,017,
185,947,424,859,906,039,564,244,694,158,062,310,605,354,200,375,700,310,643,
471,564,458,985,264,945,418,521,592,968,466,077,542,657,131,436,285,082,369,
319,084,505,319,708,094,875,415,012,241,845,932,932,209,427,118,074,328,835,
766,348,514,522,874,104,166,509,295,419,817,973,382,270,308,925,742,974,823,
918,955,668,712,960,020,815,439,133,728,518,980,113,982,279,417,766,847,746,
083,252,006,287,431,102,927,322,382,433,715,699,247,841,148,558,175,392,815,
279,311,664,337,392,432,164,400,793,960,049,682,975,536,849,005,951,399,593,
291,872,363,026,768,263,914,263,127,846,588,484,046,294,260,854,487,946,479,
176,608,955,032,748,329,934,067,700,153,042,398,532,716,416,426,754,217,352,
828,978,976,899,545,358,177,504,911,684,431,437,246,899,866,427,102,709,283,
284,511,967,972,613,264,034,897,530,175,897,566,069,824,101,858,583,496,492,
408,493,003,782,007,461,446,907,966,798,454,174,643,916,466,862,571,934,605,
253,992,821,313,237,694,066,527,148,804,284,767,003,623,988,064,344,348,835,
518,615,680,742,659,987,734,539,935,483,341,141,999,949,583,773,137,154,824,
366,059,500,697,188,422,634,378,316,660,694,865,753,323,330,467,246,118,893,
220,002,644,673,470,035,686,556,655,222,988,613,271,169,620,662,688,535,887,
871,215,892,538,843,319,274,124,166,546,089,162,401,100,496,358,352,739,807,
604,185,055,094,181,896,219,151,826,307,063,497,639,877,402,466,726,107,583,
905,431,363,691,614,476,330,934,354,655,984,986,818,588,575,402,809,640,528,
085,539,947,405,796,719,268,569,733,902,151,103,600,501,145,261,669,531,438,
657,413,930,106,325,710,303,675,652,469,867,145,303,648,791,552,582,254,338,
932,893,006,984,172,388,522,793,664,601,211,347,074,256,442,599,668,077,947,
527,160,271,267,364,534,913,921,969,113,445,624,865,674,415,610,317,660,464,
499,243,033,081,929,171,493,143,789,254,802,790,043,217,015,948,431,610,853,
747,781,111,066,660,780,901,523,650,356,167,880,417,692,375,751,950,004,066,
857,310,701,305,655,381,901,986,416,322,108,978,841,245,905,019,832,432,795,
282,746,752,560,900,273,412,695,576,664,002,625,530,328,656,713,506,555,640,
252,696,393,974,077,882,982,020,709,878,465,648,216,503,971,461,311,633,431,
534,401,493,852,203,576,971,568,477,132,908,107,672,136,509,470,127,684,924,
425,933,764,420,279,564,793,952,075,574,609,211,128,698,214,964,941,768,989,
456,014,029,125,546,532,342,086,174,087,892,781,935,973,894,570,313,715,444,
599,374,655,026,207,631,739,806,561,243,095,563,857,077,978,645,396,399,932,
711,413,024,877,346,029,791,922,186,113,896,265,392,298,789,431,098,965,128,
997,042,279,442,541,221,181,525,772,689,245,976,279,148,087,915,087,552,941,
132,265,189,404,450,068,727,392,773,784,340,339,806,158,475,351,475,610,968,
807,317,508,735,636,308,016,465,626,683,669,874,516,992,242,968,682,746,075,
577,706,958,726,964,594,906,908,153,415,897,402,296,408,601,524,931,081,685,
333,833,041,818,806,686,780,572,310,087,573,380,417,019,079,330,386,071,403,
908,543,138,900,210,539,864,501,433,326,630,138,085,574,912,292,481,856,021,
732,327,949,282,938,476,439,543,914,078,240,427,493,498,410,387,727,325,380,
070,747,784,110,392,719,408,873,986,599,950,319,033,760,350,005,109,684,673,
028,435,472,674,591,168,070,322,553,853,136,955,564,086,451,475,459,485,393,
088,016,181,291,982,538,711,635,819,389,381,918,720,932,580,386,769,220,332,
482,522,457,420,425,316,717,045,569,323,240,680,953,869,846,856,775,827,464,
396,548,478,612,769,205,220,236,445,924,302,332,190,713,955,674,210,430,862,
283,473,664,784,000,443,193,163,249,338,757,996,202,995,030,634,562,104,922,
890,240,972,818,526,510,849,911,173,439,339,850,964,096,503,538,862,388,938,
463,333,194,140,591,555,813,227,478,180,263,051,366,030,458,975,524,201,012,
035,503,046,207,976,680,821,190,620,342,080,263,026,461,214,722,127,946,738,
387,997,503,400,996,241,746,425,313,474,991,934,255,877,943,710,716,321,303,
623,389,300,163,370,998,494,771,367,209,813,763,555,066,895,883,538,237,556,
800,687,456,366,353,603,299,006,404,297,408,084,884,145,462,356,301,752,841,
037,338,134,133,795,643,423,779,521,276,222,422,440,390,371,902,129,984,630,
360,219,090,268,940,740,896,979,229,788,578,641,419,051,940,209,829,818,578,
086,315,009,528,272,721,956,715,624,148,973,424,806,807,948,886,299,001,782,
077,599,526,730,588,659,621,550,398,153,841,504,062,499,466,180,404,627,436,
229,471,447,014,993,783,771,881,385,399,342,165,077,857,941,687,091,497,422,
648,796,980,647,768,295,682,274,573,080,893,783,023,337,498,248,839,403,008,
557,647,039,099,895,564,794,813,897,579,094,286,505,026,765,939,098,673,385,
617,458,015,486,838,018,358,609,108,400,700,930,148,059,450,283,612,724,015,
952,610,061,528,587,002,036,178,801,249,121,475,934,518,661,193,243,312,706,
269,034,797,022,523,084,088,688,686,874,594,863,096,611,179,395,674,145,291,
856,359,748,646,970,567,464,579,538,542,986,347,457,490,983,631,741,816,266,
683,745,720,236,734,640,797,224,676,963,269,677,361,100,199,443,239,735,804,
528,567,723,406,678,554,173,087,385,193,092,694,118,169,351,621,711,347,416,
619,674,145,561,114,494,847,937,629,949,778,330,494,056,675,494,493,603,919,
565,791,115,182,984,868,426,334,969,740,471,083,063,183,023,524,380,350,175,
880,343,853,248,825,426,560,910,201,495,854,124,552,792,276,322,881,726,142,
312,714,108,009,644,256,176,811,593,346,609,386,297,136,392,155,538,512,645,
042,601,395,322,392,935,088,157,150,447,886,281,750,566,496,542,269,314,128,
835,892,885,225,994,280,339,380,408,225,947,644,801,100,885,625,162,577,564,
279,349,834,895,819,157,878,981,257,839,297,577,541,452,067,097,423,566,199,
914,666,370,364,537,195,768,569,848,564,454,326,930,759,897,593,065,903,292,
305,361,575,668,785,604,087,028,893,681,747,120,197,781,287,236,783,255,764,
396,302,336,234,669,253,273,164,724,874,430,456,445,752,638,176,642,794,800,
185,586,892,080,574,694,232,555,252,005,291,789,876,547,146,582,584,613,165,
371,023,554,244,172,736,622,602,409,003,183,429,996,946,163,951,173,885,875,
415,216,225,390,597,383,089,145,104,441,874,161,576,813,059,296,202,580,306,
989,663,701,464,855,920,454,335,714,375,056,845,423,717,484,060,267,447,377,
618,804,662,688,201,303,406,065,958,984,981,581,542,969,560,190,300,028,178,
601,788,876,421,899,342,777,576,301,598,108,524,614,512,264,629,629,259,735,
573,410,627,983,994,145,986,903,966,024,663,362,325,867,357,083,145,824,901,
665,225,013,466,997,703,332,631,950,508,242,786,805,200,572,109,602,295,094,
765,910,424,917,738,364,718,063,741,156,513,001,330,687,547,023,002,588,721,
536,822,100,368,709,107,296,065,616,935,620,723,626,437,605,090,882,384,816,
263,149,385,452,789,422,302,741,729,148,442,276,321,262,978,911,594,263,435,
973,868,619,145,647,616,897,119,837,248,945,438,724,873,393,656,342,969,509,
844,163,190,059,304,219,791,472,973,782,581,578,675,614,121,925,952,514,238,
400,470,867,015,662,529,105,355,339,942,130,011,541,224,794,776,865,863,281,
867,816,213,753,968,168,387,080,318,588,414,318,103,537,435,096,856,216,747,
343,828,913,387,328,403,512,263,146,321,527,586,688,266,451,618,144,641,528,
861,947,944,711,708,770,075,587,778,943,816,053,708,879,487,987,502,504,856,
310,423,284,155,292,974,704,556,900,768,634,724,004,808,832,964,423,388,844,
071,726,902,977,495,919,643,374,329,040,723,068,687,407,661,120,243,827,185,
889,405,232,063,127,243,159,408,527,551,864,818,789,342,237,053,887,231,042,
657,426,650,369,285,801,018,668,038,613,094,146,591,224,121,932,756,979,030,
718,043,675,312,321,417,392,044,776,289,613,561,020,639,579,329,311,036,617,
843,526,704,380,002,302,143,270,799,354,449,651,007,147,332,226,509,433,076,
671,461,676,485,379,597,817,426,130,323,964,450,141,354,684,482,007,608,029,
602,301,940,910,422,683,148,487,323,649,168,347,615,261,502,291,925,452,530,
397,577,276,660,832,626,965,466,619,871,696,247,905,891,969,589,295,820,644,
321,722,556,028,104,807,056,227,697,141,021,724,221,395,539,406,103,650,662,
198,908,684,149,138,319,350,755,353,146,413,357,318,402,875,566,524,991,505,
462,128,945,897,043,675,073,628,810,282,975,612,575,328,289,984,373,843,748,
454,981,453,029,476,400,911,565,600,774,895,768,191,107,860,568,655,871,068,
869,492,357,112,332,091,848,882,788,493,323,768,761,914,051,074,345,602,297,
827,805,608,589,266,469,211,963,847,585,600,575,404,319,852,618,958,658,808,
220,408,685,737,312,336,764,676,582,854,109,848,676,335,150,176,855,130,155,
910,250,417,416,121,247,082,890,261,222,955,709,871,886,593,776,890,694,090,
215,662,283,922,088,806,581,409,309,829,424,310,599,716,016,060,665,274,529,
023,652,763,914,844,368,149,303,884,864,600,815,165,155,539,746,340,470,326,
033,605,477,939,600,636,179,376,084,491,069,436,395,901,659,925,261,888,854,
736,591,475,136,344,958,646,179,598,314,665,294,229,646,928,661,231,739,639,
254,870,960,142,640,045,055,259,300,482,086,785,800,362,963,765,428,868,000,
554,513,878,291,131,323,597,996,467,101,660,548,538,899,214,442,551,208,587,
372,299,360,431,803,915,213,626,004,583,096,412,378,162,889,575,928,467,334,
720,870,147,107,101,532,209,869,036,745,171,249,278,395,641,357,005,086,388,
245,287,330,710,137,086,845,969,720,633,316,610,489,882,392,789,138,894,784,
913,315,019,690,126,684,328,196,593,640,406,403,115,906,857,971,007,510,753,
971,762,287,093,778,996,777,987,582,866,930,649,213,300,810,285,626,251,896,
741,266,764,792,513,241,676,559,269,199,055,995,262,569,474,386,946,239,324,
910,620,117,615,908,943,284,621,869,020,727,939,183,163,322,361,837,232,617,
672,594,191,222,472,291,904,277,957,252,773,358,288,508,740,350,222,321,640,
158,324,933,637,692,286,087,246,631,876,745,399,896,289,276,381,196,102,443,
193,764,998,205,420,005,367,807,442,508,259,085,091,928,815,802,189,522,546,
096,809,635,081,621,134,076,576,123,879,124,033,934,283,042,703,137,773,357,
740,432,621,955,965,877,317,606,907,168,403,899,109,779,805,128,849,804,955,
767,786,979,156,782,286,723,562,534,488,986,521,509,445,128,087,775,121,438,
721,685,413,631,931,858,453,169,654,212,166,681,074,078,532,521,106,727,312,
595,675,469,109,168,759,308,332,949,018,333,150,633,718,737,314,151,144,191,
205,578,284,721,035,372,524,974,440,056,804,873,478,567,735,472,111,053,640,
520,418,094,895,092,891,149,107,528,501,522,445,696,722,232,607,682,579,505,
438,390,245,466,085,100,921,417,141,794,727,146,874,252,508,150,254,493,588,
612,828,784,603,297,528,620,506,243,405,732,284,413,716,694,905,259,759,474,
628,678,451,599,862,296,226,546,661,243,134,199,284,216,343,400,444,024,210,
331,945,661,821,143,887,772,690,232,786,973,872,665,706,893,830,579,467,013,
635,225,750,658,572,593,558,186,586,032,807,986,729,685,952,688,528,619,757,
399,910,064,577,184,203,877,856,464,330,491,792,786,793,017,748,911,906,710,
177,697,839,930,748,875,911,375,196,585,988,140,849,327,039,539,911,991,702,
869,581,736,950,100,229,628,901,379,103,637,909,273,512,495,823,364,068,213,
472,788,828,767,293,851,357,453,473,926,121,279,245,075,788,823,641,299,073,
365,337,842,021,778,992,448,804,875,669,157,841,588,982,358,547,715,569,281,
334,147,435,887,730,501,295,303,810,346,547,449,591,372,575,126,989,324,778,
351,471,017,872,328,131,129,121,771,979,113,309,970,587,412,140,876,455,638,
116,564,114,676,126,648,797,618,659,172,432,690,018,353,014,723,657,237,694,
684,083,509,737,467,224,906,010,415,753,165,845,499,139,200,029,537,937,685,
669,323,236,246,924,211,293,371,877,216,714,887,721,090,145,843,531,949,335,
016,917,001,761,163,716,752,810,216,871,769,636,434,893,768,737,572,549,934,
691,998,619,003,633,532,842,341,495,911,463,256,858,521,370,607,400,376,761,
427,654,597,850,595,539,288,901,519,388,077,006,489,884,173,288,230,185,588,
527,635,079,132,117,707,988,717,415,264,534,275,600,687,328,386,639,608,629,
423,042,259,741,276,134,304,921,821,551,006,607,019,008,811,104,976,239,653,
982,286,979,759,700,006,662,138,434,614,328,126,391,574,659,480,389,444,444,
891,635,249,918,956,669,711,512,561,366,991,739,517,779,687,977,557,161,842,
172,647,739,138,701,991,422,939,798,515,646,456,457,756,085,462,907,926,378,
647,070,275,352,200,993,508,416,095,674,822,708,505,008,389,450,243,880,789,
772,573,335,938,432,967,341,580,342,094,493,834,264,708,914,241,043,056,923,
629,402,308,179,944,873,309,485,600,535,205,548,704,309,443,036,054,006,339,
034,802,376,692,696,926,982,494,042,962,270,091,483,595,271,923,561,018,886,
399,219,750,403,037,511,064,799,046,935,821,233,652,867,486,848,417,580,218,
982,123,468,992,619,613,798,872,196,305,716,871,809,065,718,546,297,537,313,
343,203,643,837,197,432,397,115,867,465,588,192,185,775,501,666,748,591,212,
546,414,496,182,230,056,278,671,147,973,302,839,281,754,307,581,873,616,014,
554,100,072,716,823,656,840,487,971,905,647,257,697,180,518,670,584,061,046,
330,002,907,177,276,158,021,528,563,534,218,357,397,361,970,847,352,916,642,
036,368,355,794,296,712,460,666,382,047,126,962,721,686,739,405,629,334,623,
270,925,493,947,726,737,384,352,888,329,306,961,432,338,279,675,823,791,597,
907,758,805,039,912,670,399,527,143,886,113,349,208,439,545,568,440,849,158,
306,217,137,990,684,623,874,558,453,007,245,233,560,290,599,391,550,687,859,
953,912,971,550,094,512,858,242,677,553,389,567,867,779,365,456,369,472,758,
080,360,766,397,321,287,629,215,727,126,797,888,883,354,884,461,903,871,115,
499,889,346,133,434,194,260,143,746,555,193,264,432,728,594,302,065,098,461,
334,499,642,411,657,479,137,925,299,955,072,382,745,115,253,795,917,261,287,
070,670,315,949,206,536,292,533,631,693,733,981,553,719,518,594,053,461,949,
746,584,789,107,848,774,877,047,557,321,701,734,423,226,372,208,152,652,475,
793,094,289,001,835,030,494,686,005,199,361,071,102,908,563,077,838,815,443,
695,780,754,409,748,198,769,719,970,309,991,792,141,408,972,155,081,125,017,
294,530,250,335,629,778,578,745,255,500,602,768,022,076,897,401,886,876,250,
496,281,710,528,545,112,492,489,439,120,545,235,546,898,006,164,348,573,573,
919,764,996,916,098,869,657,800,715,579,564,916,924,745,627,712,500,206,960,
705,254,399,601,510,105,565,020,849,522,409,608,743,866,486,230,021,398,220,
697,941,130,140,634,424,679,451,850,062,890,580,602,327,850,864,030,463,724,
561,732,225,103,141,784,025,266,462,905,272,966,967,411,090,618,674,043,368,
287,685,734,508,888,484,499,708,696,176,314,783,487,761,148,444,526,560,749,
541,142,833,204,141,999,654,410,472,680,162,582,080,585,063,239,051,693,354,
034,383,482,005,968,091,568,627,411,084,370,374,760,637,457,553,440,650,814,
084,207,547,892,901,266,915,349,182,920,378,748,327,994,862,352,376,246,795,
202,495,844,856,539,624,073,872,567,280,652,114,939,119,464,064,374,861,864,
130,310,849,280,945,021,803,841,847,817,265,728,888,543,470,344,559,552,586,
260,011,126,401,005,179,358,294,300,597,182,483,585,691,147,054,919,212,022,
712,140,184,311,831,683,198,974,413,584,048,665,464,685,184,949,586,211,560,
268,015,937,425,613,613,940,338,633,456,463,247,666,164,280,031,126,883,634,
044,429,409,416,276,562,815,285,394,401,587,684,896,833,501,213,214,558,108,
266,595,198,616,835,301,153,898,192,738,728,842,762,290,326,894,317,527,044,
084,823,339,009,914,610,001,416,157,406,729,051,732,766,371,907,342,299,398,
751,900,763,440,630,180,510,868,337,543,166,938,153,506,814,592,803,081,721,
283,899,155,543,202,452,899,769,399,641,595,386,181,505,765,366,659,081,546,
329,756,581,513,337,970,544,454,734,574,409,368,775,261,336,930,274,954,191,
883,258,907,685,438,985,229,604,451,609,427,497,809,077,799,082,524,981,590,
269,114,850,384,488,158,804,734,732,763,381,113,490,730,458,334,472,973,866,
670,320,712,791,890,958,263,870,582,344,187,079,801,669,559,860,649,096,970,
740,152,288,371,748,454,500,423,144,592,461,737,359,392,548,440,129,201,006,
470,759,858,157,519,999,398,100,331,537,403,259,617,007,022,797,692,141,905,
655,919,757,717,256,252,746,978,532,318,234,095,114,150,421,355,611,522,690,
786,011,931,195,649,618,797,608,645,962,376,323,008,042,066,539,659,155,618,
481,310,290,928,692,023,595,440,960,004,853,282,196,879,731,277,305,409,237,
018,112,750,456,825,586,216,854,565,183,480,464,149,312,744,043,049,984,169,
255,474,435,784,356,910,866,500,148,920,305,994,626,060,482,592,294,802,584,
457,104,354,057,193,086,082,021,213,226,925,337,262,109,335,487,521,193,246,
315,807,657,482,812,028,738,742,527,013,202,222,529,212,471,461,786,723,803,
915,411,436,802,969,353,242,164,151,827,790,802,018,928,303,995,476,249,617,
736,431,231,746,069,019,341,639,671,765,306,563,768,495,622,095,117,163,965,
928,815,323,273,702,005,422,092,081,801,375,289,389,889,363,715,379,673,161,
230,016,277,521,065,832,706,887,028,351,081,927,269,696,771,711,208,994,236,
879,988,934,275,247,879,702,345,246,490,721,433,420,995,000,369,247,858,274,
166,408,343,904,349,728,332,168,871,487,947,787,751,721,125,391,780,794,486,
212,176,195,555,811,299,326,953,887,418,831,576,289,949,645,903,520,915,641,
098,012,923,600,929,247,310,604,757,235,867,405,389,379,158,340,963,981,148,
415,186,390,172,779,482,363,960,905,297,001,156,972,845,033,440,277,424,109,
323,722,501,665,930,216,487,548,865,347,484,845,106,300,400,919,954,926,262,
859,434,062,046,090,437,059,564,514,532,547,843,630,366,062,888,804,006,238,
642,835,065,978,465,999,768,304,579,848,182,067,926,542,599,760,221,952,485,
829,880,037,343,214,462,320,604,994,862,954,029,072,728,897,164,095,661,526,
973,881,467,740,567,602,564,793,745,403,136,061,121,004,084,339,263,963,673,
298,096,096,205,139,794,968,907,501,133,074,198,471,562,775,928,165,185,551,
809,348,959,076,355,570,750,688,821,149,961,551,974,380,264,736,190,710,503,
217,401,719,814,808,496,072,479,229,793,716,449,873,002,673,746,462,849,848,
249,325,840,688,142,565,470,016,805,500,932,951,069,894,617,086,900,436,692,
402,399,710,166,479,959,476,559,479,902,720,695,221,558,348,598,280,081,440,
689,826,167,998,858,745,061,516,701,428,126,751,395,515,559,241,295,967,286,
966,327,783,118,709,768,728,734,606,608,314,265,979,945,451,543,045,830,504,
824,524,795,446,966,218,158,759,449,350,016,748,349,693,526,211,621,818,067,
020,142,824,336,813,730,140,153,255,209,465,749,768,105,006,775,919,737,665,
476,972,908,300,430,218,679,730,455,699,528,122,226,868,497,527,136,914,304,
436,295,770,028,805,995,525,405,979,145,115,347,764,787,891,254,114,034,873,
838,675,553,762,418,670,082,547,924,718,082,388,043,144,565,198,926,712,591,
696,737,904,605,273,738,700,264,100,942,659,486,105,417,105,732,388,736,195,
714,776,578,407,736,299,526,909,519,511,422,165,971,597,284,529,246,408,014,
222,525,932,090,399,615,538,068,335,980,836,594,294,300,887,733,990,669,988,
437,666,296,591,802,274,865,105,737,528,437,277,232,846,843,530,803,012,904,
619,533,254,465,230,742,340,285,034,723,732,735,421,157,527,268,701,319,572,
382,016,357,532,774,848,951,917,965,595,282,182,201,322,872,030,213,799,662,
476,996,094,295,800,395,497,236,019,883,725,086,714,464,760,292,163,083,953,
057,155,546,264,930,699,334,384,461,557,707,853,412,375,986,242,217,831,916,
714,501,317,416,944,076,981,863,163,829,369,365,240,909,803,210,193,232,527,
901,245,812,840,929,496,720,906,945,910,502,441,707,046,813,848,940,185,144,
991,879,273,988,863,421,047,148,622,129,330,174,508,816,167,126,150,956,521,
091,567,344,904,823,009,708,434,000,149,311,656,023,748,249,068,971,161,273,
916,959,844,110,248,364,241,572,564,231,837,014,900,753,734,927,697,372,454,
662,777,173,024,659,372,755,751,612,921,330,248,615,619,644,340,751,163,371,
264,275,415,404,996,885,458,963,947,907,233,751,253,533,130,140,965,219,963,
165,030,611,443,364,460,964,439,547,135,555,178,564,300,244,160,391,856,804,
825,509,747,352,436,608,913,904,160,938,582,922,471,436,254,770,083,550,699,
254,831,760,444,718,000,598,301,163,313,882,049,911,141,506,244,243,373,626,
070,563,350,065,033,375,995,115,915,589,699,021,063,272,047,224,313,476,198,
711,904,225,495,944,584,300,896,079,377,516,235,470,257,908,975,451,103,421,
517,127,602,192,691,594,231,631,827,760,989,758,740,231,213,853,559,299,671,
034,941,869,196,864,642,301,627,701,850,623,189,327,510,826,851,663,734,564,
300,563,519,318,250,640,075,393,636,179,742,712,502,017,583,361,458,994,550,
403,081,124,246,298,397,128,800,901,048,413,882,431,354,030,726,411,093,374,
689,681,405,599,057,942,060,950,258,556,310,301,563,295,766,576,768,233,622,
119,426,384,538,963,236,591,267,193,152,817,206,097,011,996,787,279,101,644,
885,784,669,850,834,011,966,615,577,727,041,563,250,732,229,287,800,966,650,
842,916,351,624,201,790,104,512,720,616,659,727,190,972,408,756,922,944,416,
030,233,773,022,342,708,069,162,246,541,199,077,413,244,224,459,326,596,536,
344,539,112,954,195,901,703,838,212,307,673,298,658,094,940,959,080,160,524,
272,029,032,314,953,929,121,306,511,225,085,491,263,553,126,649,603,880,420,
328,602,501,381,240,418,637,428,051,056,643,601,939,036,162,055,411,691,699,
283,078,560,424,554,343,991,497,425,962,304,471,227,121,705,448,277,361,134,
724,261,012,840,074,532,941,954,888,498,123,357,499,444,008,626,274,646,618,
362,141,326,611,246,803,759,887,362,009,535,987,932,159,705,825,742,450,957,
722,052,311,094,765,998,880,570,274,093,992,746,298,976,832,070,336,263,136,
792,587,024,307,446,549,084,481,121,671,930,644,546,124,091,803,906,345,781,
931,818,738,004,890,332,696,183,233,808,941,338,863,397,732,226,679,513,239,
673,855,034,890,231,576,724,740,637,777,934,172,325,868,285,782,681,975,831,
907,898,342,298,852,853,821,490,023,780,076,536,035,740,356,431,579,118,498,
510,812,832,362,063,997,269,831,696,449,461,816,047,517,519,993,079,027,959,
999,900,502,356,449,752,199,231,529,288,975,263,150,669,029,622,599,831,989,
546,644,273,398,574,186,463,202,288,924,567,163,080,597,968,984,734,672,272,
125,986,314,597,029,356,026,014,368,348,364,062,694,545,505,677,400,337,494,
059,233,638,831,618,989,525,971,520,783,350,949,123,001,933,229,125,450,549,
482,503,721,835,134,196,481,984,208,367,232,426,056,249,159,159,228,036,045,
800,491,112,032,418,702,032,393,165,357,644,332,939,273,591,585,427,655,162,
898,114,172,636,852,662,666,741,103,914,890,372,418,731,459,536,808,189,918,
589,980,011,743,797,581,807,403,902,064,919,773,362,718,922,294,431,258,746,
933,092,470,140,034,973,944,062,565,075,788,990,523,171,491,085,640,182,217,
158,807,990,652,844,244,074,243,774,483,757,626,538,426,637,128,046,509,238,
820,777,228,926,934,687,863,289,010,485,463,407,572,017,989,395,572,832,984,
866,437,359,252,970,430,827,194,560,326,767,365,050,656,772,325,244,575,232,
180,175,502,386,283,291,976,722,320,177,157,182,373,110,476,942,955,897,488,
140,604,981,404,291,426,134,474,563,103,745,257,812,118,647,239,373,641,032,
796,684,394,166,711,199,170,197,905,558,450,297,799,500,397,198,763,713,884,
858,069,829,418,424,467,630,737,270,769,203,015,259,360,572,776,438,760,787,
478,279,689,215,148,691,910,945,038,954,684,477,187,974,451,819,637,871,607,
778,653,154,785,442,746,549,606,446,359,941,788,757,126,019,493,639,030,140,
357,893,131,408,428,183,589,834,992,270,033,051,639,387,325,283,904,859,257,
244,591,888,147,695,138,695,278,153,879,706,098,021,974,069,808,829,310,960,
039,683,444,888,564,921,879,901,598,769,097,024,829,321,379,156,576,248,440,
154,052,415,906,488,697,920,147,586,861,981,450,528,700,834,441,566,815,326,
784,752,376,331,736,766,408,007,743,603,320,339,403,839,826,824,052,355,365,
720,139,611,078,134,528,044,741,038,679,217,427,994,239,851,904,541,556,457,
096,551,657,052,479,629,370,817,914,690,524,393,899,121,820,972,545,107,621,
629,846,048,209,756,101,048,773,996,307,569,578,960,517,153,723,736,336,208,
069,953,761,390,583,118,250,149,626,057,764,329,717,894,073,558,187,577,630,
019,984,771,947,846,305,230,221,613,489,332,498,343,285,809,037,418,771,334,
887,380,857,352,640,105,999,020,582,376,457,906,584,244,169,349,585,952,291,
161,539,051,744,541,983,594,469,973,804,510,221,108,764,299,706,527,782,264,
420,917,245,204,079,009,604,313,196,106,182,129,842,254,936,116,165,928,349,
798,927,510,728,235,257,517,825,751,324,300,549,928,299,101,769,943,456,969,
315,807,035,528,253,245,394,974,717,830,061,721,560,135,741,627,905,667,817,
275,823,178,646,261,194,457,539,257,180,382,621,419,393,965,971,336,400,689,
585,942,475,864,905,373,631,977,439,349,498,391,409,840,375,598,843,123,575,
699,731,355,376,359,226,465,259,954,393,431,335,653,990,059,637,261,614,305,
117,484,743,301,687,876,265,712,903,857,974,461,137,466,951,559,453,618,163,
452,382,321,446,740,359,752,621,305,955,252,044,097,480,644,294,920,537,790,
865,271,052,822,003,462,104,313,885,636,574,465,573,675,587,501,382,905,921,
422,134,866,328,047,777,356,059,344,177,807,951,857,115,235,253,416,862,694,
844,847,843,968,582,656,311,295,773,820,896,841,269,143,080,728,728,316,223,
318,372,898,071,015,677,806,973,125,062,563,458,292,943,381,055,591,400,609,
986,038,246,137,822,127,038,652,077,838,657,046,507,387,126,246,499,664,441,
199,142,809,688,369,464,280,597,240,418,751,860,778,690,003,603,064,909,327,
147,036,444,379,339,825,249,820,062,045,418,298,033,291,077,259,986,159,779,
635,448,697,391,041,069,618,121,408,676,236,852,033,735,459,368,375,700,005,
305,167,505,808,883,770,537,660,713,205,026,352,848,464,880,955,300,433,260,
072,423,298,155,338,607,667,259,720,400,107,025,869,186,659,992,761,560,217,
095,703,660,356,886,279,377,212,066,427,801,888,455,890,512,844,649,254,817,
902,165,761,989,167,983,282,193,292,919,162,414,918,537,913,288,218,988,187,
675,893,484,162,074,877,152,071,875,031,300,189,566,350,534,588,807,597,037,
639,473,760,435,369,947,086,258,117,740,013,353,398,472,273,044,647,913,480,
820,091,948,286,728,985,001,063,624,246,964,479,074,892,328,107,177,529,335,
417,570,107,312,323,360,054,193,876,162,068,725,381,834,824,376,441,066,656,
791,393,839,039,367,526,868,370,799,555,184,505,337,128,205,742,406,611,270,
877,454,749,775,296,268,792,342,417,047,334,742,811,480,466,350,602,335,274,
834,262,009,294,269,923,256,535,385,322,661,775,004,457,322,512,619,006,148,
155,611,248,832,726,767,421,712,889,086,708,008,866,923,842,715,934,193,440,
919,790,774,520,614,288,864,298,922,126,812,855,925,442,628,866,234,599,265,
499,170,271,691,947,040,488,416,387,550,628,172,965,490,987,184,586,495,341,
282,462,283,878,967,993,987,289,682,731,995,808,320,592,505,741,177,454,292,
275,906,577,349,205,093,511,346,086,636,235,334,372,389,963,674,650,869,467,
554,177,415,660,374,976,387,465,745,064,543,979,491,818,677,161,755,340,929,
114,492,809,319,065,085,550,097,517,363,868,547,456,389,976,514,177,633,366,
129,427,102,807,667,058,698,751,520,215,377,193,011,684,298,859,600,665,563,
431,119,403,069,149,859,306,447,037,056,872,685,871,277,146,908,547,630,720,
641,832,387,039,861,198,891,217,139,493,836,508,380,705,666,015,068,465,158,
777,294,653,697,725,909,663,267,699,468,766,742,128,170,357,605,704,700,587,
485,896,404,290,698,264,041,219,019,633,824,093,707,307,945,572,194,525,293,
171,303,174,873,188,535,464,154,917,830,155,868,157,121,649,162,914,532,184,
011,357,697,281,325,632,580,014,911,208,224,305,342,420,021,911,785,632,384,
748,656,784,073,488,653,094,055,195,184,688,501,346,263,660,143,761,160,863,
694,272,158,160,312,177,739,803,071,010,065,616,675,838,820,969,905,202,071,
758,954,735,408,372,233,249,897,747,007,185,767,563,686,343,466,635,071,610,
190,873,470,164,309,219,274,192,384,618,478,865,374,770,922,605,976,498,869,
824,823,876,789,889,667,331,188,137,638,999,433,661,542,489,208,253,942,803,
552,415,526,056,471,270,607,134,617,885,713,172,822,572,643,192,474,564,472,
311,016,579,352,134,227,943,857,887,924,759,873,540,773,609,506,436,129,645,
313,568,950,515,322,018,098,605,870,712,678,979,287,807,484,962,630,728,361,
909,080,880,160,231,153,754,064,415,455,390,206,561,795,544,503,816,007,286,
451,167,677,544,270,663,723,644,420,105,651,388,102,935,035,774,052,720,793,
646,549,918,849,122,543,160,248,337,503,890,709,728,490,369,997,517,631,550,
664,742,199,692,143,037,635,779,223,534,097,550,654,722,465,405,418,249,716,
406,704,358,290,378,158,578,144,790,993,344,907,333,372,738,036,446,829,700,
360,605,277,942,209,953,445,186,774,020,822,648,771,188,553,632,737,194,999,
212,444,818,088,581,070,396,326,416,684,151,068,360,984,393,788,522,865,446,
920,237,891,918,604,128,362,979,932,326,221,017,732,912,340,178,032,001,338,
283,974,040,566,369,794,632,066,837,453,686,205,220,825,221,523,526,291,494,
438,127,337,415,154,863,447,622,737,611,179,539,571,166,557,728,498,665,285,
016,108,411,957,478,991,267,493,811,569,726,441,981,972,958,027,264,828,811,
354,152,914,263,494,930,481,774,952,195,928,862,729,001,466,050,898,828,989,
962,604,749,689,536,930,744,059,989,186,521,161,419,587,579,267,151,274,728,
782,738,784,523,000,661,136,463,611,654,678,162,235,571,308,937,428,548,783,
098,543,554,257,875,957,730,830,275,839,127,764,154,626,942,354,058,480,178,
418,399,761,826,543,958,947,327,200,263,516,069,779,745,385,478,495,091,461,
304,881,388,357,912,826,150,116,887,368,367,700,884,019,874,189,650,236,604,
926,758,217,923,364,518,298,179,349,221,098,676,239,112,759,561,371,706,732,
248,793,281,982,897,220,703,209,717,011,207,080,836,365,557,545,850,608,485,
279,864,444,711,122,347,603,391,148,777,676,400,086,237,756,293,271,173,591,
097,913,619,611,518,904,038,011,962,257,679,508,497,498,815,998,281,879,657,
943,553,844,655,571,616,512,548,465,780,116,351,489,715,666,888,992,227,499,
236,201,353,912,474,438,825,710,393,502,473,468,685,811,673,637,888,874,225,
695,991,010,916,169,812,379,044,931,100,681,853,319,396,917,720,018,006,383,
422,862,074,465,583,650,372,056,495,812,164,477,558,751,455,801,032,239,914,
623,941,197,002,307,909,418,035,190,162,296,024,818,100,512,022,542,955,698,
432,378,913,657,374,650,875,296,167,690,011,036,575,823,853,664,314,776,659,
934,375,476,351,937,952,988,376,826,601,987,367,046,492,882,620,270,340,587,
518,154,493,533,703,317,590,455,146,431,175,746,232,165,306,090,405,530,240,
234,939,703,166,797,345,752,015,831,867,146,763,117,913,948,583,162,104,790,
534,184,955,335,875,487,648,243,007,680,654,672,911,094,542,566,948,581,843,
808,724,964,829,151,385,672,883,981,679,988,460,150,508,471,069,963,909,022,
345,953,793,420,897,893,674,009,234,398,940,334,384,997,174,255,840,924,047,
911,907,736,494,002,739,659,359,495,403,302,775,870,688,058,816,383,662,049,
511,849,166,231,246,088,645,460,080,561,241,361,892,148,591,757,172,175,849,
890,774,151,391,090,395,871,383,533,796,553,231,493,381,040,705,123,024,146,
206,718,437,743,731,624,495,671,750,836,586,822,666,388,109,226,000,948,280,
671,742,888,197,425,240,435,664,559,639,987,788,395,388,113,492,685,848,660,
006,293,443,276,756,848,725,719,994,813,013,975,189,898,217,745,378,226,887,
571,280,619,562,887,500,354,573,583,215,288,793,973,674,955,640,748,705,148,
892,307,841,310,570,134,379,690,390,346,838,328,123,655,105,089,098,180,105,
945,349,508,950,399,453,951,288,880,198,241,963,058,115,139,121,897,094,974,
569,314,737,745,206,207,055,742,960,378,676,103,333,765,938,261,614,036,976,
884,576,321,945,609,839,591,840,292,122,825,387,545,439,256,785,427,057,004,
333,791,341,882,610,492,016,008,440,983,377,841,742,882,725,369,965,150,582,
010,443,361,000,402,417,146,361,342,238,087,790,603,011,348,322,543,205,423,
148,455,266,747,735,331,710,263,386,792,600,462,028,798,967,502,770,282,247,
549,804,638,476,877,109,975,144,286,810,670,613,807,680,318,464,484,665,199,
311,694,458,146,162,489,120,460,835,210,711,998,833,405,968,218,608,609,537,
261,630,314,587,634,133,200,034,609,715,871,331,655,462,475,622,522,961,600,
207,441,536,416,650,574,939,874,673,959,151,706,044,987,511,256,517,523,091,
351,375,137,706,553,700,001,886,915,346,762,037,739,231,036,744,083,657,771,
433,537,963,903,719,528,419,159,536,589,397,813,001,279,419,007,286,855,853,
890,722,634,171,110,360,284,958,405,307,607,153,966,434,165,689,363,752,576,
572,388,813,513,964,599,604,768,246,726,410,540,450,735,274,079,686,980,938,
255,777,858,144,439,019,444,133,301,051,897,652,215,820,711,248,345,895,526,
917,493,687,674,317,204,546,461,647,085,358,629,933,909,579,718,398,680,718,
880,944,851,125,917,603,921,700,359,569,623,417,929,672,444,656,424,918,359,
327,607,635,740,064,541,456,572,860,217,173,383,095,786,924,910,306,964,490,
794,722,573,201,113,298,998,937,135,306,043,130,487,327,633,802,148,107,828,
186,030,575,742,388,817,772,863,570,937,828,010,929,696,871,568,164,449,744,
784,737,191,926,145,470,700,861,775,280,021,875,365,775,720,004,661,119,484,
077,658,423,924,475,225,126,141,205,108,005,747,547,312,605,126,637,902,707,
169,729,027,781,429,257,995,042,718,544,649,330,327,738,828,998,240,817,643,
689,270,818,549,298,676,265,465,697,482,130,076,902,823,568,545,666,797,478,
100,857,943,590,372,224,823,942,086,761,713,168,475,334,917,774,184,204,041,
515,399,148,946,822,940,182,555,770,937,226,412,833,655,186,438,630,520,395,
002,387,243,547,014,193,270,773,675,381,228,465,368,875,962,603,677,867,227,
875,013,328,389,629,521,162,429,888,805,174,754,544,173,796,584,548,995,635,
344,882,246,087,214,580,509,129,589,753,559,736,668,637,938,340,129,876,520,
347,324,667,749,590,050,620,358,301,422,820,655,001,586,711,156,591,663,002,
209,187,200,127,754,066,917,664,849,086,219,616,089,180,716,596,422,558,464,
240,675,526,628,276,448,465,631,677,159,935,143,674,319,397,993,697,856,888,
168,155,217,129,948,265,249,696,101,640,787,825,924,242,015,125,696,040,363,
497,127,155,257,183,431,354,170,124,879,103,946,252,825,350,916,240,937,959,
912,307,479,761,561,242,264,116,835,684,306,775,789,445,129,557,259,179,427,
512,069,769,601,138,789,273,682,087,656,643,474,513,497,786,451,385,873,852,
957,961,514,570,987,372,007,683,074,342,145,667,437,830,643,079,063,850,043,
847,992,730,779,982,058,335,497,787,733,888,770,468,464,875,369,250,233,954,
932,433,052,276,543,808,542,876,404,263,665,939,657,669,435,766,547,321,902,
258,182,599,149,334,899,139,165,106,903,264,266,152,449,493,388,174,111,250,
146,594,430,803,941,956,301,555,008,104,245,452,284,138,750,723,813,385,881,
488,931,069,509,992,275,551,651,071,909,336,316,251,322,764,103,434,707,718,
955,123,098,654,547,370,784,927,842,640,632,275,732,571,689,321,859,943,151,
553,961,364,848,246,199,403,296,431,482,972,266,978,260,743,817,622,924,633,
761,576,122,605,441,560,138,396,887,464,512,060,048,913,438,019,388,867,274,
384,951,572,063,709,722,788,113,469,321,601,702,258,977,714,945,188,781,371,
278,781,527,812,498,434,138,390,241,793,551,460,423,608,208,402,602,703,784,
436,357,376,954,709,521,901,763,555,299,957,388,331,797,103,782,421,850,742,
484,456,900,856,844,062,455,431,217,232,390,189,580,605,092,402,768,034,970,
231,630,065,415,340,775,947,700,905,099,033,741,760,058,851,060,889,292,783,
615,050,230,968,570,194,802,405,526,048,570,229,017,795,845,753,838,077,881,
200,745,028,859,669,715,316,555,274,249,725,373,535,024,784,800,355,123,486,
044,089,260,954,075,128,122,407,425,958,949,484,936,241,398,181,565,283,369,
312,084,049,914,058,969,963,419,348,669,892,247,517,733,283,917,221,182,202,
436,969,170,180,092,118,763,879,571,548,929,967,120,353,175,284,378,494,253,
171,560,054,713,039,163,387,490,922,952,372,842,815,867,734,449,719,302,188,
455,250,208,843,950,287,565,929,446,411,663,598,332,506,120,744,987,353,646,
593,009,492,554,173,827,496,862,075,491,418,891,111,518,985,331,545,788,915,
507,187,729,748,965,844,344,151,208,085,612,277,103,861,042,960,982,600,408,
426,966,031,067,478,380,700,280,110,292,722,238,780,665,931,383,221,383,293,
134,342,323,976,750,352,273,589,204,628,372,462,961,196,825,556,845,323,255,
534,251,163,954,816,998,378,587,853,576,106,397,538,542,583,182,884,836,169,
916,771,445,246,657,010,102,917,372,855,668,952,939,013,997,266,236,081,160,
059,279,226,883,303,811,774,763,240,944,428,053,500,406,941,940,473,475,988,
903,416,200,849,415,640,800,990,947,570,082,671,030,216,085,997,086,627,907,
955,952,867,717,093,228,286,756,823,254,950,068,767,481,934,956,025,529,966,
696,265,963,880,840,116,236,568,592,043,563,807,216,183,190,155,899,868,160,
914,631,356,529,526,671,752,677,467,569,817,779,277,055,847,635,490,359,431,
499,924,675,979,743,773,437,648,389,292,925,372,443,716,134,402,638,640,028,
893,363,688,866,128,746,846,877,172,253,540,911,924,071,656,957,250,621,640,
797,963,059,177,212,092,029,094,497,373,769,273,039,919,667,026,955,451,714,
145,414,559,679,569,807,759,802,143,777,758,425,759,713,509,788,893,478,405,
290,331,304,341,393,505,252,922,527,057,693,191,303,634,418,845,142,326,631,
353,223,588,626,224,314,036,995,777,504,743,311,052,195,975,466,259,926,903,
233,048,977,073,178,948,797,451,300,775,080,987,030,444,599,332,598,392,089,
345,473,231,034,594,640,846,110,687,149,110,256,017,473,532,851,237,442,923,
181,990,162,990,257,674,097,674,940,421,701,702,046,845,949,523,357,676,805,
494,765,813,456,244,549,661,314,101,297,524,261,749,104,846,024,356,773,136,
940,285,099,169,835,597,617,890,382,711,054,198,918,326,103,506,340,819,501,
856,053,821,014,314,251,137,354,921,888,285,865,614,374,815,141,971,416,315,
176,038,828,230,690,915,746,217,549,968,019,603,564,389,579,815,867,548,374,
175,774,640,980,764,803,179,170,400,363,786,843,030,953,619,571,222,267,423,
832,048,852,517,931,984,216,604,577,984,708,625,416,241,511,148,929,939,913,
582,728,871,990,997,098,146,408,474,241,813,488,702,444,947,871,533,542,907,
857,958,565,811,791,929,874,569,666,950,990,775,345,518,995,861,232,517,426,
892,098,526,134,654,404,601,239,141,354,641,579,249,759,678,171,309,832,989,
996,767,606,686,217,194,069,566,976,592,923,984,666,142,297,518,808,899,667,
689,603,187,011,169,707,080,035,585,624,957,608,989,019,483,381,908,210,758,
020,450,288,246,634,645,773,463,025,391,809,439,090,869,443,523,298,282,549,
340,378,694,934,681,647,696,225,226,194,451,191,398,649,336,298,346,813,580,
573,713,235,076,645,387,895,857,337,350,460,426,122,241,258,150,649,757,157,
180,837,338,429,446,233,467,940,737,363,243,648,456,182,568,782,336,686,041,
547,261,047,460,625,684,641,711,728,606,177,368,262,503,816,854,791,527,737,
024,760,758,472,103,628,511,482,296,540,463,277,896,644,424,956,680,305,765,
778,080,284,808,646,186,147,970,025,191,883,000,271,140,599,351,318,891,778,
256,136,358,522,349,455,701,814,846,954,476,673,178,763,105,718,947,296,849,
010,319,738,196,813,043,379,453,029,658,885,774,282,505,334,719,158,703,946,
489,100,475,439,826,582,720,334,316,954,466,893,623,825,837,078,049,774,317,
167,296,635,526,390,891,487,333,558,628,444,742,048,095,155,894,730,814,230,
254,494,149,859,714,309,664,016,372,608,597,000,851,952,552,731,292,556,435,
083,359,014,583,617,534,638,312,510,473,529,784,761,498,666,762,044,553,258,
883,307,069,123,752,985,641,361,960,596,799,625,717,310,591,904,670,335,936,
944,062,769,067,545,692,815,525,941,592,866,995,050,799,564,012,259,779,846,
797,833,732,278,157,235,673,555,517,183,333,761,511,701,148,164,501,717,944,
734,161,756,590,553,612,361,905,898,252,465,503,756,775,114,843,173,461,646,
007,361,331,895,276,641,450,401,153,526,099,834,307,406,593,514,944,061,358,
247,482,975,883,211,040,671,167,282,879,372,570,014,855,478,891,982,329,485,
776,519,597,116,258,455,874,744,782,579,927,574,171,085,641,620,440,520,083,
915,399,794,527,629,561,219,283,291,113,893,763,830,487,682,377,899,458,533,
527,559,287,869,968,316,918,218,306,880,407,728,178,675,092,116,940,386,552,
127,304,166,208,463,670,196,848,078,961,969,012,332,299,356,395,307,754,751,
238,798,017,289,995,791,936,118,377,735,465,015,976,226,583,660,759,642,788,
924,544,546,771,549,923,031,469,497,615,349,656,453,807,222,151,490,231,675,
600,825,458,471,502,833,207,281,483,855,673,657,374,569,397,556,897,539,446,
213,464,328,931,235,029,460,981,388,189,050,852,034,149,308,374,712,840,167,
850,769,534,188,594,757,941,622,093,748,423,642,695,911,585,292,852,299,613,
032,318,975,507,700,808,411,914,125,139,866,928,931,794,530,969,409,022,871,
870,601,535,214,583,285,506,768,129,665,527,719,488,799,768,709,442,344,164,
734,302,362,547,104,099,574,054,609,523,457,950,529,643,440,547,394,779,669,
037,534,754,845,628,243,728,163,289,274,682,233,953,197,035,060,270,974,194,
397,567,900,557,191,511,904,286,757,153,964,956,367,585,787,885,404,029,445,
314,445,207,840,168,674,264,707,508,138,252,191,199,507,661,834,919,203,529,
768,808,142,823,753,743,076,318,045,734,629,539,312,204,392,851,899,530,794,
181,378,233,799,477,515,344,897,059,961,335,456,485,056,959,508,975,188,966,
462,941,435,817,690,456,336,706,952,858,907,536,825,644,561,161,412,750,507,
263,870,309,108,405,478,898,342,759,798,188,819,244,373,102,067,782,364,158,
464,533,691,080,168,028,361,031,981,517,236,046,715,772,761,899,124,769,317,
504,700,947,816,664,584,702,064,634,304,589,663,654,356,624,185,023,801,153,
593,715,905,913,928,484,972,325,097,883,088,132,745,480,603,743,512,801,712,
980,511,937,978,298,550,010,932,251,719,578,679,757,745,754,091,475,423,749,
101,889,962,385,479,079,647,634,733,954,204,650,669,426,946,620,375,198,664,
443,548,607,694,206,018,335,500,066,057,950,215,136,078,667,496,927,231,346,
668,735,876,550,537,142,639,748,367,446,646,415,109,770,054,509,363,010,141,
208,655,183,057,804,016,579,931,580,241,763,838,103,384,120,326,199,073,188,
828,904,221,300,861,681,016,625,903,650,782,647,490,392,212,924,540,161,441,
129,988,742,530,359,088,736,819,173,806,156,011,094,247,043,047,911,671,444,
965,846,678,671,096,301,046,889,695,296,334,093,131,977,487,747,217,657,305,
536,551,132,559,303,066,723,864,271,010,133,737,937,354,101,040,525,218,871,
416,712,457,528,242,918,311,312,510,047,779,440,524,214,072,600,050,255,111,
946,697,656,071,812,401,824,994,507,869,481,388,398,840,756,177,349,209,268,
926,696,492,686,933,087,221,227,900,126,708,257,745,206,359,300,906,219,240,
852,800,667,716,296,647,754,692,534,565,428,712,251,997,390,123,977,287,886,
425,311,486,828,757,420,750,024,173,873,864,029,857,758,095,073,655,015,768,
488,909,764,686,414,222,816,563,575,504,727,424,956,395,776,748,023,124,387,
493,136,887,173,685,153,001,054,362,510,079,309,491,028,503,083,986,208,482,
172,659,465,968,207,724,078,432,640,760,026,110,501,876,266,389,644,440,516,
786,292,843,164,408,199,763,526,692,696,537,817,254,630,984,145,751,696,137,
117,969,745,504,543,507,255,089,174,857,032,927,372,925,237,868,524,124,399,
375,149,882,741,725,783,373,501,386,753,701,761,009,815,107,419,120,625,176,
649,256,909,311,953,765,450,276,047,544,222,970,337,871,439,722,331,821,908,
937,281,258,791,152,515,438,465,748,606,749,695,866,715,850,449,594,858,191,
993,585,147,023,722,937,531,068,946,552,934,260,109,247,772,377,986,563,707,
138,021,839,449,620,568,266,637,623,568,389,247,263,493,894,849,101,796,601,
547,448,925,722,107,955,231,703,646,952,310,284,917,941,772,929,977,797,605,
970,109,551,934,770,364,027,104,531,392,606,286,918,626,868,977,818,732,763,
284,172,323,061,097,726,999,314,182,627,622,137,024,278,193,453,958,379,035,
798,764,211,746,188,468,300,654,975,537,914,727,825,702,276,399,803,468,798,
511,342,964,968,057,859,450,536,576,823,401,230,532,924,549,846,881,455,659,
668,884,992,517,694,645,800,598,060,846,078,107,229,058,435,677,977,065,108,
747,572,208,200,590,612,138,423,560,386,740,530,854,262,268,409,160,948,375,
352,186,701,648,700,490,453,682,272,966,558,256,582,735,160,339,691,687,433,
212,829,308,638,952,102,717,819,963,419,740,099,202,832,513,414,128,542,609,
286,741,448,276,256,718,907,774,716,667,553,382,755,703,844,549,941,141,512,
052,754,068,513,198,442,760,409,382,461,582,211,862,378,920,904,211,553,511,
501,468,389,112,108,272,526,080,319,346,597,311,982,223,438,516,126,676,628,
117,767,407,892,889,501,901,106,578,282,119,613,013,814,771,910,524,021,871,
311,037,615,682,178,908,374,540,179,707,829,917,622,538,312,402,611,047,989,
503,714,534,546,946,045,485,617,980,093,109,473,303,902,156,389,119,836,921,
984,944,430,077,360,788,571,613,640,753,872,334,405,604,489,470,474,904,161,
033,216,874,083,910,056,213,227,921,938,384,357,442,150,181,774,599,134,217,
203,036,337,795,893,449,455,401,000,166,723,007,854,073,715,780,167,013,108,
672,615,920,827,854,475,610,824,281,725,892,640,666,631,749,080,996,960,728,
080,513,624,992,028,225,537,512,790,423,326,477,395,484,038,524,197,935,600,
823,578,021,549,108,883,099,953,724,513,821,514,197,222,796,381,808,832,637,
607,512,976,085,429,973,255,488,557,018,101,845,682,139,445,447,552,593,126,
323,672,441,912,372,359,199,594,976,794,298,618,189,298,631,709,524,799,777,
453,619,041,525,629,328,249,783,900,125,970,608,524,116,158,325,653,126,574,
371,571,742,937,877,658,384,131,769,462,391,662,933,067,838,207,367,379,254,
763,704,218,451,908,311,218,701,234,711,996,984,646,485,038,311,869,106,576,
639,549,753,805,823,851,511,745,877,373,633,328,096,670,586,112,330,940,366,
983,235,562,531,048,381,143,829,050,282,440,996,758,843,437,869,093,089,517,
665,922,878,923,782,825,147,911,114,578,079,655,200,984,724,972,857,804,238,
445,505,075,988,491,330,149,325,177,253,511,892,033,361,266,255,412,299,147,
293,428,903,734,239,315,617,045,614,371,369,281,555,241,483,462,601,806,472,
940,105,506,252,252,455,123,723,370,160,655,538,315,374,169,430,192,345,208,
115,412,132,586,653,765,900,355,231,529,154,760,457,486,345,878,042,548,402,
958,379,979,783,469,337,795,854,727,733,391,250,648,682,105,555,036,343,160,
293,449,267,958,341,316,933,412,115,545,548,814,082,192,798,779,874,909,065,
701,119,570,509,215,866,322,033,578,719,802,642,229,965,191,014,444,399,338,
304,400,786,201,115,806,687,500,088,398,544,449,957,965,385,514,742,857,308,
594,560,901,619,560,736,362,024,163,075,635,897,712,625,237,902,281,858,731,
774,408,354,267,730,787,503,556,033,221,875,197,028,946,143,721,071,946,231,
510,358,487,949,070,761,476,862,039,469,740,534,440,266,682,872,808,413,482,
321,030,713,248,617,690,550,422,516,949,443,342,943,960,995,841,914,587,695,
645,447,140,882,591,979,986,246,842,404,494,277,691,021,319,379,997,021,142,
463,968,262,452,174,837,469,165,707,508,447,686,752,809,916,843,855,970,762,
748,779,903,712,788,536,168,550,315,461,177,671,967,360,359,422,474,342,947,
261,243,703,701,967,480,737,400,089,939,754,184,891,381,157,047,461,856,456,
196,139,144,606,220,814,034,987,184,816,681,286,801,168,697,410,313,952,407,
284,299,386,869,593,365,332,614,033,885,124,514,927,963,332,622,007,885,437,
455,426,652,270,271,716,330,043,623,840,774,442,150,106,609,183,305,068,512,
497,454,636,307,854,174,431,947,023,206,394,212,588,849,264,175,429,134,353,
296,092,835,004,837,788,811,247,003,789,974,940,298,059,375,243,939,197,432,
571,035,391,067,014,141,270,214,005,322,533,683,755,379,361,552,551,839,582,
052,544,815,393,338,101,573,647,507,629,260,414,168,780,899,899,292,375,038,
120,352,992,249,460,717,627,365,354,935,442,312,248,986,928,905,600,270,941,
971,893,516,650,568,434,303,071,923,704,716,676,157,622,153,322,028,657,158,
285,030,687,523,643,551,587,273,156,599,970,605,643,003,730,087,900,489,758,
563,124,970,429,548,879,803,458,456,947,129,883,228,130,447,069,357,895,268,
420,466,417,234,960,920,011,933,125,569,574,031,255,793,646,896,005,848,600,
092,511,231,849,386,116,873,869,603,914,048,376,031,357,128,223,130,651,926,
047,018,721,637,637,617,257,468,634,364,275,598,598,767,731,561,818,243,269,
276,054,941,886,342,769,226,132,629,150,504,659,136,464,726,755,596,032,026,
275,751,489,294,556,783,207,626,594,789,010,446,668,034,869,106,733,962,398,
121,327,936,448,882,412,060,538,347,865,294,163,325,195,743,493,619,703,964,
297,317,761,443,601,839,288,227,355,726,772,774,557,623,612,921,591,475,851,
226,724,267,494,288,784,716,558,362,035,720,764,018,435,341,190,381,856,534,
559,971,140,734,001,938,042,732,774,659,597,779,708,825,489,945,934,640,065,
361,132,515,333,138,457,930,799,754,502,162,717,087,729,965,662,492,244,053,
444,711,349,309,429,061,477,631,657,116,601,640,234,410,149,868,393,792,272,
266,710,587,362,045,632,234,477,365,840,552,404,482,239,802,732,050,584,393,
592,774,261,296,428,360,195,827,701,640,825,470,315,952,679,900,761,076,623,
110,449,628,537,182,447,063,779,908,901,112,857,419,868,962,306,655,172,052,
140,274,215,673,800,210,186,254,450,263,838,656,323,859,477,329,415,264,244,
168,692,524,808,858,669,375,340,430,342,745,355,872,430,616,074,374,196,677,
563,804,865,690,838,193,574,085,461,335,616,282,027,915,114,461,843,431,431,
304,744,117,507,984,180,010,507,161,528,755,579,852,443,495,866,355,656,420,
198,266,268,059,790,598,898,913,460,930,565,071,855,396,681,521,232,555,178,
011,723,862,489,054,023,913,279,880,231,052,997,628,413,016,193,174,046,619,
097,863,292,890,565,715,447,722,402,713,552,029,813,164,243,661,723,428,600,
712,499,585,216,796,517,991,778,151,891,038,017,715,979,650,114,102,089,457,
594,802,999,458,889,804,647,346,825,468,170,615,834,028,625,890,035,392,176,
628,589,392,453,181,491,383,227,038,780,510,804,606,805,508,748,565,197,521,
589,774,223,421,225,100,997,452,824,487,375,648,402,659,519,486,721,791,216,
772,510,073,029,854,561,122,146,530,061,144,842,394,541,600,018,507,876,656,
483,466,043,770,086,243,189,357,278,614,985,258,778,305,441,898,481,834,487,
664,584,283,523,337,587,040,169,619,020,133,625,780,396,687,973,064,618,783,
339,422,553,246,358,240,891,362,270,819,537,639,971,600,411,132,932,808,963,
498,244,451,713,322,723,989,014,323,867,233,073,745,781,485,617,058,899,585,
647,805,003,767,599,712,003,121,133,266,050,484,100,931,253,438,846,960,324,
505,388,142,801,295,655,700,542,708,088,593,827,285,685,556,421,725,253,276,
991,589,092,183,159,984,956,969,784,588,717,013,385,293,706,878,418,069,900,
750,336,243,720,819,977,392,150,526,046,098,170,976,184,694,579,398,989,449,
400,261,440,362,647,457,795,807,839,069,614,186,083,745,337,638,057,741,115,
304,486,679,107,977,478,543,636,015,887,418,655,135,402,275,051,540,402,540,
442,311,797,979,856,330,994,357,538,674,587,172,878,205,231,240,931,765,919,
997,763,079,251,383,491,520,200,088,690,369,855,203,586,860,796,581,887,769,
309,188,082,778,657,412,202,746,986,186,341,570,006,767,616,093,663,362,846,
618,860,175,036,970,767,749,088,885,247,641,998,086,771,956,027,868,738,638,
062,614,505,909,168,513,366,706,468,176,078,316,388,500,855,995,335,169,611,
738,078,596,189,225,921,673,301,712,043,749,874,554,310,700,109,523,917,065,
823,605,226,144,262,733,578,313,411,043,698,865,566,559,372,945,371,952,054,
830,202,316,786,651,500,406,349,225,071,204,748,785,356,003,327,638,143,957,
567,038,266,443,421,935,154,222,610,013,157,772,726,736,007,853,085,732,399,
331,126,605,344,511,985,407,295,167,784,030,745,715,031,295,492,116,524,001,
710,621,894,669,192,555,095,969,915,418,435,835,431,125,875,211,364,685,764,
738,441,204,477,712,244,915,409,998,304,214,280,964,534,736,721,118,109,155,
614,250,779,173,441,960,049,374,077,438,975,242,152,527,778,778,352,944,054,
344,998,297,551,998,571,268,882,460,931,471,801,508,133,197,676,180,691,233,
992,056,314,782,945,685,955,797,852,557,756,849,601,955,252,153,229,056,285,
740,425,066,922,165,313,969,292,873,461,888,407,660,360,689,900,170,053,642,
254,482,459,896,628,854,660,536,445,128,286,543,435,385,425,880,720,932,394,
873,752,110,731,753,488,042,962,761,238,567,702,531,019,107,949,906,134,738,
465,869,825,096,175,926,221,240,790,960,509,016,041,137,887,175,995,584,696,
079,615,825,819,369,748,351,741,022,605,091,646,056,032,484,775,974,960,330,
803,109,153,808,940,143,251,882,297,054,559,197,166,832,638,308,458,571,493,
571,539,465,511,864,699,745,144,205,012,668,741,496,630,847,123,654,151,035,
598,296,671,277,210,190,247,816,882,531,223,133,474,325,628,411,814,849,805,
296,356,060,298,412,928,819,346,882,872,746,026,585,769,272,912,405,281,269,
319,699,423,125,813,641,872,930,022,124,604,047,285,948,087,559,563,816,936,
184,364,306,233,774,901,215,275,710,659,821,083,390,564,979,674,169,115,055,
038,086,435,808,709,234,623,953,200,289,549,054,188,794,810,962,363,934,589,
393,778,690,790,892,151,862,147,324,788,383,297,747,369,663,625,425,768,507,
431,585,084,419,067,881,247,834,088,305,034,506,370,268,690,534,596,531,236,
874,376,342,723,583,413,627,697,567,183,692,450,067,228,137,416,167,929,423,
759,316,928,931,758,646,833,971,221,974,090,106,563,214,983,897,559,790,071,
198,407,392,090,258,651,259,830,953,650,603,625,701,459,068,695,950,379,596,
446,974,468,218,225,642,694,651,611,962,744,918,759,864,419,628,427,706,156,
633,265,940,053,286,386,273,797,483,032,245,925,049,690,580,135,263,383,371,
125,843,075,840,447,884,965,322,142,560,377,228,228,606,914,892,876,788,044,
528,150,592,320,798,441,341,272,988,424,999,840,741,599,924,259,692,174,134,
344,453,671,254,352,845,533,064,128,176,650,594,851,522,443,728,497,331,906,
757,098,375,819,558,012,129,893,043,847,428,951,972,898,109,662,805,024,304,
916,477,249,496,162,221,811,285,108,948,567,481,379,648,838,907,768,093,830,
949,786,255,323,709,091,696,287,619,146,565,037,805,950,621,064,551,987,161,
528,060,763,795,398,678,530,812,608,713,011,675,088,896,831,736,352,648,212,
520,352,122,700,054,289,147,877,637,849,745,308,084,963,111,435,686,726,146,
077,335,389,370,440,480,521,470,484,351,505,626,591,474,833,674,518,774,428,
461,621,998,135,333,675,359,276,742,496,846,262,348,607,034,773,815,126,669,
286,632,580,262,384,778,980,060,452,659,624,414,709,151,999,220,991,765,249,
770,824,204,860,619,926,783,344,649,043,687,251,501,753,413,349,839,466,115,
388,204,911,301,325,533,093,321,942,052,309,519,653,111,239,916,548,513,287,
605,087,254,672,013,685,240,585,255,901,131,416,666,596,844,935,129,071,987,
824,811,089,498,317,213,662,292,419,275,754,584,572,675,097,049,879,345,405,
306,362,272,172,747,155,423,517,786,515,420,310,599,668,964,840,644,933,740,
376,242,515,018,369,788,817,732,007,498,311,388,155,884,343,221,725,981,645,
256,977,277,777,775,693,807,611,585,406,781,354,363,487,537,700,313,585,847,
915,107,775,364,224,420,797,070,544,750,082,273,663,200,128,949,534,078,050,
124,202,997,668,788,509,980,074,338,792,981,834,578,971,740,649,460,221,726,
656,162,311,865,221,282,006,758,493,359,281,201,311,128,164,640,098,844,273,
045,059,904,964,150,042,407,064,599,427,259,614,340,758,701,722,405,967,922,
059,205,917,259,239,424,230,818,419,794,513,394,804,612,040,910,798,019,152,
222,886,884,082,700,348,268,663,406,101,128,022,140,195,467,128,443,032,910,
526,775,529,575,772,729,641,145,652,496,574,009,032,625,990,734,602,110,732,
194,000,978,796,121,058,435,740,724,533,049,346,809,209,554,729,760,895,395,
864,048,235,144,656,350,651,270,694,713,183,146,574,591,066,399,561,655,970,
827,738,483,840,191,545,986,926,353,371,761,808,187,535,431,112,810,195,272,
170,008,116,026,608,092,793,398,526,661,190,924,932,784,599,071,626,940,063,
257,821,804,911,515,426,770,445,117,472,786,496,681,214,739,630,102,220,937,
295,427,091,480,504,230,662,518,470,229,899,219,135,293,942,296,692,048,353,
062,672,772,696,704,243,808,708,904,523,339,588,056,609,543,130,116,820,293,
739,654,310,409,742,851,306,872,083,423,774,721,459,043,730,508,936,984,283,
927,405,476,829,919,899,170,040,242,698,332,615,653,031,888,274,796,214,888,
508,162,537,528,110,064,360,029,610,327,147,562,054,055,312,553,359,569,664,
880,668,161,548,970,637,602,116,932,744,690,744,353,951,399,489,199,576,012,
306,127,370,798,500,936,731,272,466,013,739,182,503,231,888,247,225,042,763,
965,339,040,058,918,621,458,553,093,284,293,694,624,346,439,055,020,509,574,
364,158,319,477,974,203,277,520,398,784,224,800,697,689,500,808,064,134,422,
554,036,228,866,568,868,646,077,398,457,169,547,754,087,758,575,540,415,648,
771,476,119,235,658,978,149,351,992,188,044,683,718,333,909,677,792,445,825,
349,263,709,891,632,201,196,957,673,354,338,740,236,407,292,161,701,888,294,
756,647,033,007,680,900,377,615,427,651,690,132,424,022,097,680,257,504,766,
235,157,802,896,547,217,446,244,866,035,035,670,297,250,908,301,650,721,010,
757,951,145,780,922,273,690,659,210,053,713,994,772,588,533,392,461,668,481,
356,896,758,662,378,362,710,217,173,693,615,443,943,283,811,689,078,037,791,
535,684,993,009,600,721,113,155,885,311,442,927,518,688,379,867,753,203,721,
315,749,075,026,743,733,434,573,196,244,337,485,841,339,101,967,846,378,272,
048,578,358,589,974,772,332,494,177,038,653,791,804,413,726,778,056,079,737,
439,016,987,570,701,766,378,771,008,564,663,315,655,625,987,623,251,402,833,
781,633,526,389,260,292,563,897,909,505,487,765,583,212,965,223,237,197,081,
095,742,615,173,167,484,307,692,221,785,208,020,839,100,435,442,041,634,222,
144,656,046,783,258,515,206,542,878,972,350,014,325,159,581,556,166,002,036,
537,632,917,445,934,696,692,715,938,991,561,680,790,877,900,599,452,303,428,
085,232,444,509,959,520,464,988,626,471,621,174,480,620,008,006,404,557,074,
256,949,054,074,592,439,411,008,772,513,482,798,612,068,333,827,635,937,208,
006,061,073,325,393,239,043,664,597,227,015,162,043,000,983,906,513,090,039,
307,627,360,010,465,699,477,635,762,059,574,260,764,958,257,744,938,394,669,
500,335,984,786,846,899,770,107,876,403,206,290,547,257,188,363,934,545,208,
592,819,054,354,883,245,827,131,825,540,478,781,910,509,177,792,260,200,508,
182,543,484,157,037,427,190,084,331,446,878,670,199,628,392,465,193,528,078,
414,251,294,183,774,994,471,789,037,196,711,120,423,433,477,022,037,718,334,
501,824,097,152,173,501,760,125,221,497,112,342,989,593,924,663,552,598,966,
390,329,927,801,019,563,937,246,489,402,887,511,997,530,783,738,193,693,072,
249,454,231,278,615,555,257,230,294,188,234,972,485,303,372,956,157,685,345,
083,851,141,720,332,803,116,061,700,616,559,518,373,353,678,642,033,413,012,
512,739,578,462,793,067,427,860,421,427,561,558,529,541,567,930,899,538,896,
730,249,013,107,644,056,560,039,635,239,111,821,888,366,909,437,833,246,855,
202,272,486,023,659,804,646,745,402,405,962,073,804,656,619,772,054,070,092,
433,712,981,653,457,849,249,746,383,423,924,281,807,241,497,944,561,804,323,
170,847,660,713,900,112,946,803,100,813,884,797,143,933,735,106,021,995,319,
524,416,013,175,363,646,909,335,482,730,025,604,678,584,129,649,963,384,921,
237,952,431,702,398,009,182,182,496,801,683,822,101,179,460,089,258,535,713,
239,495,293,617,375,064,022,242,786,750,012,979,772,736,035,529,900,763,556,
976,790,474,743,083,026,446,989,151,364,131,224,043,508,300,205,108,451,880,
936,543,630,771,313,055,844,201,551,806,944,817,130,031,323,338,727,700,754,
364,071,622,145,054,302,154,703,172,005,393,814,350,196,672,912,771,790,836,
128,235,971,502,380,039,653,240,375,735,475,932,253,438,966,748,411,170,660,
449,818,437,417,912,494,805,776,921,822,671,069,101,119,634,712,065,662,368,
077,857,977,026,507,726,285,070,736,802,542,337,262,868,803,703,101,595,542,
750,374,593,460,603,295,741,525,238,268,236,152,959,052,979,830,683,751,193,
333,201,443,655,702,591,616,800,652,683,004,356,051,389,117,103,644,585,646,
788,554,595,457,619,052,180,998,582,692,684,253,516,745,424,013,529,759,352,
729,716,283,539,572,009,328,890,587,772,612,430,120,381,294,492,095,081,688,
351,294,945,039,111,295,940,994,481,572,557,589,290,845,746,341,327,976,796,
167,304,259,001,181,347,990,442,593,705,746,909,626,438,205,187,680,851,601,
014,866,516,751,996,682,358,223,384,142,123,794,734,315,103,911,048,162,656,
416,831,053,899,262,437,171,177,171,909,511,282,566,568,302,142,320,853,098,
874,741,307,086,357,063,077,616,548,428,796,910,162,802,216,401,943,367,425,
684,358,581,484,130,298,470,361,470,327,486,092,099,458,657,797,114,038,344,
013,936,288,580,030,625,074,150,576,269,915,644,147,398,908,520,274,946,048,
034,541,635,078,491,549,129,791,250,151,901,865,996,585,905,302,102,237,051,
078,078,717,087,049,981,925,513,967,853,498,511,983,548,465,982,962,342,920,
115,012,608,077,140,348,288,876,610,550,680,941,821,115,656,664,880,882,713,
006,216,039,090,805,881,871,211,588,854,188,427,250,357,976,697,923,172,974,
135,176,985,082,064,809,803,066,737,162,645,237,383,769,498,849,597,254,654,
528,630,750,437,831,063,669,692,077,203,814,486,691,515,866,134,940,400,454,
510,245,066,599,239,671,119,225,126,151,617,472,153,525,956,399,778,141,566,
268,885,544,277,092,413,105,609,903,608,763,188,360,332,418,227,960,492,153,
969,408,873,137,588,134,300,617,122,615,587,116,704,510,329,879,127,884,645,
486,381,527,701,873,838,962,876,829,884,835,705,648,905,665,732,268,236,961,
680,302,546,729,579,962,232,002,738,598,099,065,013,852,643,263,159,610,910,
049,209,882,131,013,000,761,607,941,463,860,207,187,675,998,043,850,972,343,
948,494,821,626,314,303,038,854,394,656,059,388,227,021,530,912,920,006,727,
405,780,376,196,263,867,983,157,717,583,773,606,874,913,222,657,221,794,888,
961,533,179,610,083,916,110,799,526,597,923,757,956,616,922,896,366,397,229,
033,128,312,892,658,417,353,436,250,127,078,972,074,435,755,498,009,293,142,
077,107,641,781,592,117,668,392,806,201,839,144,193,906,887,126,837,867,673,
757,783,600,221,178,099,273,482,123,730,090,051,891,443,964,112,698,081,050,
560,238,909,710,662,337,749,591,527,676,998,439,138,889,296,789,225,807,844,
063,592,750,089,087,718,233,071,011,053,087,293,979,571,035,809,529,821,904,
670,416,920,507,850,102,891,629,154,650,515,155,552,673,288,878,644,380,978,
589,993,545,848,368,813,549,771,552,668,159,846,644,920,372,088,549,092,170,
477,911,372,139,534,246,649,226,513,927,067,438,560,251,214,737,047,930,957,
350,639,104,268,354,679,831,171,452,116,602,888,065,851,567,242,613,675,111,
978,875,027,167,484,592,800,594,752,996,203,088,996,544,495,557,364,193,818,
049,451,358,994,617,673,064,668,563,282,976,553,323,525,188,347,231,569,288,
719,961,785,942,618,880,884,563,552,624,546,779,167,936,891,842,327,668,050,
560,249,059,710,859,028,482,928,848,884,094,552,556,483,573,463,508,075,923,
053,749,494,134,724,098,692,147,699,806,769,432,843,459,681,649,880,239,490,
504,523,838,098,161,676,498,001,127,411,238,409,045,038,047,419,688,875,232,
141,228,455,829,424,090,321,491,115,405,376,017,385,762,281,249,502,913,213,
896,122,953,912,550,597,271,492,579,266,407,581,077,227,367,159,592,463,996,
675,283,272,479,871,689,984,702,105,740,817,035,889,282,659,782,665,403,772,
573,791,617,929,761,209,142,627,742,713,397,240,790,880,792,902,188,213,145,
670,197,123,790,047,441,737,471,485,263,391,859,767,140,019,720,715,517,408,
671,492,467,971,418,587,069,814,007,203,831,010,340,316,776,962,138,239,607,
973,222,631,871,998,844,811,981,251,461,063,772,758,246,729,017,398,600,675,
155,127,325,444,644,789,124,702,248,546,475,071,205,617,726,641,907,726,841,
703,067,265,540,128,952,575,045,764,365,886,414,527,174,660,841,306,259,899,
092,426,477,902,588,862,125,151,224,298,508,179,439,770,205,582,619,568,771,
209,993,114,356,777,787,239,397,697,593,959,648,338,986,930,923,813,867,022,
645,545,971,379,013,438,168,817,009,844,961,427,913,914,170,425,014,708,634,
140,649,968,774,655,682,074,994,554,701,235,494,834,193,056,753,066,041,654,
334,050,485,669,927,744,462,746,688,751,933,220,698,684,335,132,772,743,420,
791,140,742,587,558,834,502,348,551,615,405,715,955,906,588,390,737,016,801,
004,836,480,479,335,148,511,489,714,201,862,491,653,192,297,453,697,737,683,
168,718,080,161,552,046,875,593,686,177,443,628,875,355,401,181,549,730,975,
896,274,806,130,084,868,169,673,752,043,645,744,121,526,163,246,214,486,947,
487,559,248,313,860,067,223,080,611,712,739,290,133,145,646,877,306,312,826,
260,755,090,980,033,033,318,118,791,326,396,435,355,539,707,481,952,009,429,
454,200,361,640,872,967,136,358,468,465,348,948,084,168,105,373,752,723,061,
894,161,003,247,851,128,612,899,706,277,144,660,094,579,291,561,709,624,164,
429,270,712,163,922,479,200,621,685,715,153,165,525,280,198,471,938,949,480,
706,416,417,777,722,923,973,756,547,818,169,538,365,708,259,117,155,549,043,
015,443,094,893,996,385,891,455,556,870,442,344,304,407,011,042,077,162,717,
441,321,318,356,452,781,174,811,414,624,992,037,773,136,280,868,036,691,317,
304,521,883,890,273,181,980,450,035,084,415,960,678,193,503,147,342,786,773,
673,737,178,847,316,017,984,985,636,088,360,666,787,419,252,020,664,771,484,
515,018,106,625,131,885,289,320,630,994,650,236,692,205,149,558,529,686,436,
762,890,131,695,342,752,665,263,506,561,208,961,291,335,145,438,798,749,433,
001,746,439,415,619,762,278,697,145,413,095,840,300,076,550,976,585,244,229,
606,591,717,777,469,057,575,718,353,495,700,830,280,842,864,633,771,710,349,
113,806,265,711,871,553,486,809,907,918,976,748,601,630,687,244,128,160,403,
089,773,417,009,652,200,471,086,564,343,501,111,871,128,044,753,125,323,537,
303,692,772,047,510,571,827,159,360,096,096,525,242,768,660,541,772,888,351,
099,887,392,406,407,492,247,039,435,649,643,861,826,860,289,709,012,006,417,
386,762,835,039,459,538,377,299,219,364,274,232,837,541,713,942,206,586,250,
807,062,933,171,638,425,827,024,331,935,432,107,307,147,074,896,350,886,993,
448,297,978,968,019,420,549,362,220,028,632,909,697,025,215,238,168,770,709,
320,447,991,012,167,990,900,802,461,507,154,858,428,600,083,225,306,331,983,
884,206,192,359,671,619,345,891,592,957,446,080,603,233,147,975,031,925,495,
617,693,136,274,710,797,724,986,465,053,227,332,675,579,336,759,809,908,111,
391,064,353,569,869,252,539,262,341,823,586,922,479,135,281,160,567,210,808,
992,349,225,572,306,852,908,598,635,371,923,862,834,445,876,701,592,258,664,
110,797,892,537,909,729,491,759,268,426,971,077,794,050,330,798,786,743,459,
686,072,099,172,963,574,219,708,391,402,545,616,487,714,651,591,329,851,326,
563,707,761,586,885,091,124,380,313,417,409,271,090,547,915,473,772,844,612,
145,801,401,147,845,940,202,965,706,084,164,759,578,822,707,323,334,187,425,
806,352,623,826,363,759,099,629,933,853,197,608,231,406,392,507,256,132,330,
198,477,520,325,194,374,027,611,120,639,655,710,090,287,165,433,855,739,009,
532,352,599,567,938,700,656,747,298,056,264,296,479,757,266,623,970,529,746,
591,564,449,485,038,005,239,543,302,480,001,227,651,448,275,437,988,013,271,
985,351,977,114,167,923,685,696,684,855,341,347,472,751,243,247,843,528,720,
672,708,009,170,812,646,620,140,209,985,926,518,207,904,884,416,540,176,579,
836,072,219,513,272,211,533,458,708,642,635,625,106,056,292,050,479,262,078,
198,680,683,758,234,674,843,526,357,606,893,247,944,460,549,282,285,038,563,
907,629,031,859,012,197,776,698,548,136,244,184,595,795,252,507,475,660,688,
923,874,452,675,756,754,096,053,095,873,828,558,984,374,054,702,534,842,810,
024,603,213,691,435,276,154,062,760,774,745,666,357,669,764,586,265,592,162,
578,351,135,617,339,323,910,155,557,761,415,783,770,898,853,432,164,722,265,
847,123,149,581,606,678,399,866,697,746,233,534,521,298,334,591,478,874,288,
880,685,083,755,273,242,555,452,165,292,975,290,774,529,740,152,527,427,577,
728,419,283,619,979,515,830,210,592,225,087,016,445,801,507,860,171,933,470,
193,026,823,560,336,808,039,183,767,121,551,187,258,934,004,619,708,641,174,
719,327,690,843,921,574,231,631,513,629,227,322,587,071,371,099,346,714,456,
749,040,865,792,724,049,625,262,925,785,448,770,797,600,795,248,659,352,268,
786,473,043,284,634,134,513,089,633,168,879,698,829,704,640,318,283,880,728,
501,819,143,641,982,038,626,251,611,457,025,995,139,041,347,623,183,488,873,
493,379,169,535,934,321,153,540,010,687,626,748,528,840,464,537,925,423,052,
210,845,184,518,969,228,811,678,707,791,340,582,720,585,272,469,840,737,442,
579,323,929,261,411,599,899,404,425,489,607,435,057,845,370,097,031,246,546,
988,005,848,506,534,788,558,038,845,725,830,636,678,025,634,133,615,228,679,
998,850,246,929,258,932,462,892,888,838,776,595,595,560,133,547,883,146,741,
724,629,403,785,820,487,680,656,987,727,447,096,047,014,091,187,580,631,978,
472,289,415,163,726,988,801,784,912,865,456,500,012,495,454,090,627,410,913,
447,894,467,242,025,349,660,324,833,269,321,025,612,907,743,011,105,198,988,
407,410,481,414,403,705,132,133,119,670,122,124,166,760,479,672,377,714,959,
065,731,519,064,214,794,045,147,162,953,507,317,039,232,170,852,935,404,842,
257,955,684,105,438,185,166,897,529,456,766,853,005,970,461,257,089,264,024,
034,031,347,570,941,192,717,155,963,244,043,359,248,167,762,905,129,167,899,
536,392,029,068,646,308,435,886,983,451,661,804,990,407,701,998,350,034,459,
210,215,789,365,375,134,912,897,695,205,419,763,068,612,347,480,459,035,280,
581,123,438,727,769,580,946,321,479,805,839,882,231,850,172,148,233,456,183,
095,904,741,649,023,331,294,064,685,950,037,656,010,386,112,849,159,846,086,
203,242,651,103,633,431,854,055,777,285,456,369,187,476,189,829,516,683,490,
703,426,408,668,349,908,317,691,982,141,816,431,410,424,941,804,090,651,986,
036,262,454,114,936,261,134,386,291,780,899,755,022,656,346,147,625,835,323,
695,030,214,574,655,800,859,697,128,432,904,324,404,485,520,849,107,532,846,
063,530,072,520,646,260,625,930,214,396,819,411,631,488,004,703,145,483,782,
694,624,253,132,044,323,294,265,174,979,070,390,570,707,248,881,834,596,342,
665,289,264,693,430,210,867,704,191,892,211,935,352,098,102,568,522,637,994,
437,922,064,393,027,951,121,089,012,747,144,092,264,717,524,459,816,969,671,
450,998,151,582,676,549,452,690,633,537,821,132,660,087,513,978,985,622,867,
774,107,645,934,308,526,687,205,011,919,019,164,225,150,329,582,975,523,053,
238,965,572,623,472,498,242,668,619,139,405,438,115,346,596,419,373,925,000,
211,707,686,200,256,673,450,238,848,184,118,229,821,530,325,945,777,529,397,
792,265,205,713,645,717,563,390,154,299,640,436,000,085,200,201,708,042,144,
786,337,967,314,855,860,642,900,628,495,726,737,477,397,389,666,197,196,124,
610,645,685,587,445,403,874,947,667,991,019,934,449,478,750,198,092,634,310,
769,772,784,366,013,044,649,930,976,739,272,562,137,392,467,306,300,684,030,
121,547,126,985,995,599,809,297,978,914,525,797,044,013,031,308,925,760,724,
222,268,901,552,894,325,117,894,871,221,509,929,792,852,662,902,054,214,823,
508,789,108,837,848,052,805,426,567,082,659,326,821,868,927,802,966,698,678,
767,317,209,040,939,162,536,324,744,219,004,165,774,024,913,429,274,106,691,
151,875,020,863,035,364,899,070,231,741,243,919,335,955,475,071,389,152,618,
613,304,098,696,598,381,281,335,381,778,215,761,932,934,226,356,423,436,143,
361,928,800,916,376,354,470,279,618,341,713,516,397,639,347,120,725,319,681,
247,155,133,621,220,778,357,313,767,992,461,053,642,946,610,426,701,227,018,
481,478,535,099,683,841,417,125,071,281,143,559,538,205,780,527,471,482,196,
025,599,996,315,496,410,511,237,040,810,232,471,255,049,961,155,790,126,109,
859,560,180,495,219,389,135,874,068,873,872,620,601,330,273,477,660,834,911,
190,763,986,908,310,995,651,692,462,406,448,823,279,547,550,304,719,351,405,
111,855,022,388,409,641,645,872,931,294,335,800,037,893,102,159,332,811,897,
781,127,038,341,926,746,009,319,268,185,820,102,702,319,982,269,652,079,338,
039,737,487,008,205,981,097,074,838,006,600,268,444,223,476,098,118,896,174,
116,542,481,006,581,612,293,948,716,465,863,066,108,965,880,512,613,548,453,
732,862,715,306,132,527,506,891,988,415,356,042,809,792,319,083,830,140,832,
976,215,291,043,513,809,256,566,970,316,747,572,871,302,600,931,676,895,924,
600,575,092,471,104,142,829,026,669,562,259,254,902,283,566,715,661,127,256,
688,197,878,215,778,395,961,407,038,709,292,888,325,668,934,703,853,029,949,
030,088,300,333,189,495,268,232,402,402,596,627,722,734,916,342,332,112,537,
755,376,462,585,468,005,852,766,017,397,866,424,806,652,973,595,778,712,746,
447,172,116,421,137,342,249,561,725,848,370,148,966,519,946,725,707,477,595,
430,548,475,694,373,598,255,618,373,791,528,302,489,782,493,434,589,605,019,
660,616,864,238,894,522,673,979,537,263,071,275,589,830,980,434,257,130,441,
189,483,671,635,323,720,751,201,253,234,474,238,912,159,352,689,091,824,540,
413,226,262,733,836,627,849,447,451,913,299,717,181,475,767,999,333,115,576,
039,114,018,298,546,613,191,677,520,081,758,252,931,878,525,598,429,302,303,
329,349,261,685,006,986,725,704,634,155,965,479,710,801,145,038,270,989,444,
218,670,328,263,000,368,463,589,814,981,544,396,785,680,105,282,456,720,053,
652,100,168,213,655,132,756,784,582,515,000,416,607,865,913,223,562,524,210,
480,394,146,859,231,712,332,428,034,977,656,605,777,135,752,135,880,061,034,
666,627,552,553,922,148,809,834,301,702,887,890,247,004,298,829,011,339,669,
090,173,360,584,090,480,108,454,308,782,913,698,584,949,954,442,939,177,475,
201,607,061,532,595,439,673,883,562,744,546,235,606,863,478,526,821,184,333,
224,252,627,024,931,999,257,885,161,898,252,190,066,307,579,082,711,011,893,
361,499,873,221,720,639,118,162,365,809,510,966,646,048,497,605,736,007,910,
297,460,202,578,697,986,061,342,773,722,011,635,873,953,716,265,343,399,195,
431,881,022,631,291,835,161,124,046,891,995,400,863,637,315,110,041,711,050,
827,495,964,331,596,051,396,747,807,982,110,392,165,266,664,882,940,163,485,
505,962,207,112,528,611,506,529,109,131,095,225,959,221,600,977,119,120,832,
798,448,520,634,620,679,309,944,660,447,128,760,262,909,984,614,397,910,377,
538,656,339,746,042,925,814,890,791,749,092,990,721,704,659,128,427,517,848,
008,493,926,204,151,298,028,408,245,001,733,785,921,280,985,960,404,236,116,
848,479,899,076,845,809,852,169,746,834,937,164,712,780,504,906,472,621,469,
804,219,990,091,115,173,577,718,148,108,124,683,296,361,406,755,459,487,830,
147,017,180,519,410,505,466,007,680,237,563,001,474,073,783,625,771,679,226,
913,534,446,596,830,022,719,857,951,409,195,158,894,054,250,935,843,943,413,
007,123,895,137,792,191,148,630,598,023,833,862,830,483,542,512,612,687,272,
790,796,477,671,471,368,800,184,363,390,405,952,397,468,808,526,783,604,303,
457,946,669,494,847,346,410,455,120,372,464,300,665,587,051,386,378,753,681,
640,420,800,062,067,794,626,061,941,380,442,719,275,209,387,077,966,563,290,
823,504,769,583,083,775,611,621,538,256,365,307,640,256,820,813,003,115,453,
596,201,265,378,186,943,750,458,274,423,704,946,366,382,631,895,959,303,731,
462,914,626,429,424,083,646,120,792,571,105,560,977,906,262,398,339,301,694,
213,006,979,309,326,617,782,727,383,667,076,908,545,634,815,051,940,322,699,
247,364,017,959,628,783,633,795,924,491,013,179,856,019,714,603,971,478,421,
888,960,117,328,476,603,363,641,777,042,697,012,823,010,720,661,247,299,564,
424,355,178,843,090,904,253,422,086,444,860,539,205,358,841,481,804,598,971,
894,937,814,545,961,719,775,902,154,794,453,027,218,149,039,847,128,732,646,
357,400,776,062,579,244,041,272,610,018,070,592,725,067,437,240,925,996,122,
152,747,987,169,221,528,095,841,688,831,128,453,944,039,935,376,572,994,852,
135,788,106,218,204,262,604,998,016,024,426,656,117,039,823,115,715,144,025,
009,862,574,079,043,380,250,990,648,052,334,688,967,352,210,181,371,083,336,
490,204,717,022,413,239,092,768,100,943,447,050,067,035,565,482,869,034,314,
936,895,338,016,733,856,592,222,141,615,932,679,775,730,287,184,579,362,005,
498,961,235,658,873,869,330,270,449,243,618,650,617,909,298,557,609,294,880,
765,983,475,550,521,610,038,566,223,194,347,539,447,166,856,228,170,899,604,
001,355,006,261,217,704,584,980,067,675,399,711,581,289,145,855,176,635,122,
851,838,641,242,167,660,870,608,873,611,932,830,730,915,729,325,377,173,066,
549,332,951,492,376,666,291,877,343,247,069,529,503,310,922,716,457,213,165,
135,621,888,359,453,964,463,343,567,537,480,750,921,852,112,017,156,118,288,
611,003,432,333,520,174,100,504,764,824,066,122,482,825,908,902,154,234,458,
483,739,398,778,229,788,124,712,533,732,551,033,866,793,019,291,708,074,001,
466,799,478,907,138,410,389,605,454,954,268,513,102,175,810,545,993,498,541,
977,323,946,694,235,769,067,135,090,746,804,284,345,289,053,246,025,256,789,
055,072,889,431,318,134,694,182,595,499,702,041,999,846,156,756,634,646,277,
686,754,974,459,047,182,577,031,488,491,036,062,421,972,892,410,603,015,045,
745,829,030,844,547,731,807,546,067,511,808,903,665,585,636,954,172,473,714,
979,417,994,174,277,878,609,541,156,956,505,174,279,202,328,290,684,600,647,
184,521,995,173,835,131,144,998,755,687,411,076,537,715,924,931,642,083,598,
485,656,684,771,746,071,602,240,111,533,752,682,083,931,180,064,060,268,210,
630,202,778,453,801,127,109,618,995,921,805,220,389,278,555,094,977,719,173,
930,966,863,612,704,802,849,864,428,188,604,370,598,481,359,130,923,724,513,
209,278,471,074,804,780,940,146,463,550,462,577,835,142,315,237,124,725,378,
891,812,671,282,657,004,145,027,375,424,141,561,541,937,249,121,621,028,890,
745,322,368,832,599,806,338,704,310,030,864,390,701,117,924,594,718,324,170,
083,922,500,737,125,079,100,093,585,340,492,030,066,807,027,898,798,468,912,
410,987,148,930,733,337,682,805,055,601,754,471,562,325,112,366,453,044,616,
970,276,385,491,310,026,772,684,707,627,626,464,544,833,707,845,847,354,968,
886,347,012,778,337,407,249,599,227,117,670,470,358,487,525,300,450,908,493,
902,767,060,986,170,170,968,734,548,373,774,527,145,837,220,900,532,769,658,
681,309,272,361,797,863,452,416,409,318,141,532,170,710,490,843,823,777,443,
132,986,822,975,336,301,044,362,739,930,707,228,104,462,958,806,286,948,148,
153,019,547,830,813,608,227,980,183,392,870,999,895,517,768,005,548,626,299,
322,611,432,299,255,482,578,176,540,925,006,900,387,396,549,516,695,444,312,
296,935,360,295,234,235,320,017,732,191,071,580,370,294,978,920,303,855,969,
629,973,918,916,638,704,230,838,786,993,255,510,688,219,232,115,425,081,661,
002,977,499,102,434,889,281,167,267,735,075,460,072,012,632,146,858,060,236,
836,897,610,355,696,942,345,113,114,919,347,001,356,032,677,731,206,851,345,
197,531,230,555,636,103,438,323,651,576,209,627,607,669,421,236,014,771,429,
937,327,757,378,610,918,401,690,875,570,069,093,172,364,131,536,698,380,658,
919,987,332,294,824,144,398,927,810,515,310,410,867,526,684,551,220,519,418,
485,826,939,899,345,857,552,848,222,125,804,248,442,289,596,187,089,654,653,
213,852,536,011,319,351,379,904,706,586,392,709,219,381,005,340,507,460,783,
968,500,750,928,198,606,985,549,918,037,609,872,448,105,982,596,222,972,043,
067,561,023,304,430,968,682,103,436,722,131,221,707,946,670,722,997,609,727,
083,066,751,260,052,168,583,083,494,269,081,025,217,853,676,943,286,918,177,
147,087,257,155,868,981,044,505,637,757,120,203,617,898,749,622,608,324,378,
417,365,270,917,129,708,371,443,875,796,896,082,900,867,984,969,698,539,308,
780,221,403,293,630,711,938,508,347,629,217,601,965,500,970,601,426,169,953,
356,497,820,763,823,267,302,499,989,575,778,406,017,416,371,489,209,949,212,
091,317,788,883,645,642,698,356,539,592,332,905,200,769,664,665,520,371,745,
630,082,214,552,761,092,178,969,476,733,419,171,791,074,528,401,253,691,709,
990,653,904,586,068,326,073,168,047,985,530,924,511,777,863,137,898,368,246,
519,790,970,553,889,990,907,632,777,275,684,452,184,377,815,680,600,541,079,
190,340,123,428,004,456,910,819,842,916,069,285,940,891,080,971,700,245,456,
050,996,987,349,991,607,508,266,632,826,801,717,363,984,020,106,997,537,952,
898,612,824,811,798,244,045,681,089,452,872,589,038,827,143,763,164,016,154,
419,391,943,274,180,674,763,902,094,532,086,582,013,343,491,795,618,417,272,
040,990,534,596,395,065,732,973,509,825,393,750,186,712,528,189,970,753,276,
537,703,963,560,131,709,037,284,827,403,041,093,009,182,914,245,632,026,467,
115,454,219,016,222,874,438,571,502,480,988,058,395,023,149,134,346,701,101,
894,098,593,870,871,360,278,551,744,883,363,724,529,291,445,513,109,835,653,
663,786,133,061,013,873,161,718,890,561,344,543,776,145,625,577,384,276,625,
804,328,299,858,121,215,554,077,043,929,588,424,250,626,857,475,064,807,186,
210,297,928,023,689,630,107,671,541,108,154,260,008,765,140,067,422,197,407,
861,447,682,470,399,736,802,430,398,088,191,474,044,356,316,387,609,855,041,
067,990,717,984,380,217,259,905,148,593,817,826,894,000,157,774,853,236,324,
374,790,346,175,277,442,057,880,510,029,157,752,361,160,725,830,724,803,963,
345,502,719,697,979,354,737,506,254,214,567,630,842,981,367,384,337,167,468,
800,834,043,507,928,475,204,526,299,132,389,487,872,533,314,822,302,054,805,
776,348,207,733,545,709,944,333,001,461,813,601,325,721,834,043,615,604,911,
695,210,135,738,060,459,665,165,699,015,185,252,989,140,972,312,553,442,534,
066,611,494,340,793,269,617,231,918,059,836,887,539,851,440,263,072,916,897,
345,530,123,098,604,420,399,064,695,385,775,119,036,402,403,339,793,062,660,
460,582,483,194,552,398,575,013,590,063,224,196,813,591,747,214,877,682,636,
524,239,046,448,449,295,723,245,845,166,992,868,656,792,403,334,142,369,050,
086,666,546,154,308,516,230,489,220,323,069,035,637,688,527,097,004,869,582,
053,705,743,084,815,192,817,679,752,232,228,825,273,682,909,596,268,866,917,
235,770,660,347,652,367,797,161,625,243,786,553,245,449,194,643,777,066,730,
545,752,449,062,177,987,305,610,863,127,161,663,160,696,547,138,526,971,752,
739,095,629,800,714,814,705,657,468,858,230,263,732,164,514,835,989,704,831,
164,015,635,282,116,333,305,051,008,769,807,179,559,692,227,191,292,152,667,
709,759,012,722,184,766,093,082,839,200,914,292,039,625,871,520,636,493,145,
743,046,515,234,480,161,636,429,672,827,469,396,385,493,185,752,056,378,802,
394,308,181,829,038,028,670,993,690,530,313,191,053,782,873,663,121,179,946,
127,260,310,779,142,594,836,294,861,905,203,077,674,146,870,166,484,171,236,
406,137,582,873,528,110,533,026,849,952,464,039,854,236,213,594,943,247,127,
807,391,553,282,013,554,191,314,170,297,118,616,724,987,955,349,138,289,924,
370,586,425,049,788,737,596,245,254,342,898,260,312,903,415,319,283,773,279,
879,793,550,853,047,253,610,205,903,316,501,046,704,544,304,669,654,001,459,
270,270,037,700,611,574,013,182,817,032,837,877,129,304,995,468,061,319,348,
928,216,031,073,304,410,767,282,102,819,098,480,702,901,186,941,588,211,780,
175,498,785,686,205,411,504,596,916,947,948,870,961,141,446,594,736,337,883,
184,943,146,907,584,097,666,240,742,856,991,144,884,662,581,756,715,635,643,
998,601,587,820,093,208,035,966,590,128,970,998,258,666,089,235,754,599,086,
092,911,110,708,598,448,532,839,064,476,557,812,897,008,791,250,032,203,258,
703,776,931,123,890,457,930,520,246,441,037,183,621,454,761,218,735,919,390,
503,460,888,431,485,213,520,209,928,459,122,585,596,160,273,031,616,694,007,
551,063,862,059,754,590,884,333,640,563,815,652,828,117,804,244,410,095,653,
294,241,317,119,781,417,550,240,000,403,845,152,214,266,186,941,922,073,813,
823,148,065,739,505,724,585,378,781,954,009,674,227,391,309,613,770,722,584,
309,082,153,001,193,417,926,757,046,748,619,864,199,249,489,093,669,155,076,
223,133,020,652,046,959,782,289,345,069,666,766,447,211,659,417,412,419,873,
663,819,707,525,299,003,485,781,155,427,813,800,677,235,962,140,160,181,072,
121,482,030,446,980,047,277,897,512,382,934,727,056,122,903,229,924,073,665,
513,964,988,837,119,637,737,778,846,445,300,563,667,965,268,348,821,458,491,
186,265,435,996,029,709,790,350,147,477,615,992,293,731,280,480,536,713,492,
424,860,634,497,248,617,058,524,671,888,291,137,934,189,015,986,340,357,344,
915,297,350,644,248,736,984,393,364,663,142,575,469,080,083,119,791,257,948,
017,990,596,697,472,307,571,340,737,371,754,260,615,189,015,163,544,806,614,
957,115,754,390,675,467,950,708,086,047,735,253,907,642,510,233,737,716,788,
962,130,478,885,807,876,217,445,377,207,899,057,228,670,852,913,825,079,918,
202,144,775,314,062,567,046,360,800,657,182,478,782,610,124,796,712,947,453,
608,362,222,740,325,939,889,602,592,802,174,575,928,891,181,200,239,109,874,
510,841,761,741,269,913,896,901,437,602,876,256,489,311,927,715,172,151,921,
856,477,780,006,842,056,057,620,942,857,492,408,367,123,714,934,935,899,987,
698,486,724,691,167,113,369,722,823,786,311,543,570,946,317,055,738,221,974,
159,508,299,288,156,809,300,462,968,202,295,000,851,484,272,398,192,583,152,
959,173,505,481,224,795,681,074,992,015,695,851,895,490,046,821,901,752,064,
863,592,698,357,674,168,362,455,043,800,080,839,759,690,832,839,394,966,828,
613,399,513,990,728,253,929,700,480,505,290,404,858,430,969,181,061,308,674,
815,643,497,501,451,214,458,529,388,272,190,095,663,403,750,501,445,590,782,
186,514,060,433,825,817,891,309,516,163,145,796,284,563,867,356,033,294,306,
540,577,295,883,847,946,727,266,788,488,293,377,126,125,727,723,119,757,147,
161,664,069,385,700,746,647,124,558,267,926,173,918,781,923,135,562,331,519,
836,213,960,728,652,779,682,024,620,717,628,504,958,826,470,763,165,346,979,
449,422,412,882,160,971,393,871,922,358,363,088,874,816,195,105,068,448,897,
769,047,619,562,747,498,064,257,394,248,596,760,628,832,888,304,688,028,243,
632,778,730,574,745,202,117,394,157,077,392,497,851,573,204,353,212,290,831,
178,952,658,385,788,579,314,209,509,160,051,399,719,130,794,427,622,603,003,
699,968,116,288,312,029,101,468,482,339,847,571,939,245,019,428,420,945,994,
953,163,551,247,594,567,132,526,101,870,567,905,227,054,507,687,906,198,934,
792,048,977,855,932,178,106,419,594,975,926,624,165,640,324,914,995,403,290,
108,818,182,381,668,638,656,851,042,648,540,331,566,965,816,256,623,644,589,
830,495,259,922,765,662,009,625,451,842,897,643,556,752,755,023,007,933,045,
819,060,664,457,078,941,379,505,479,381,524,128,023,969,673,897,108,872,747,
952,625,316,434,116,622,237,428,724,793,899,384,639,557,094,982,274,517,994,
868,515,404,421,633,525,043,716,098,199,659,178,696,175,587,259,793,737,849,
319,858,774,795,619,210,441,304,644,174,976,070,588,710,688,218,077,402,057,
617,491,125,094,965,157,115,152,009,381,868,243,268,014,079,175,223,532,591,
771,338,596,513,525,221,652,311,642,624,274,009,847,096,150,886,265,870,889,
312,566,355,614,937,239,689,313,483,614,121,874,175,206,642,531,348,547,916,
358,760,454,189,634,990,390,550,601,913,802,389,226,185,787,379,513,350,138,
671,987,123,745,714,919,043,502,762,255,830,749,109,864,695,504,159,117,941,
517,946,777,342,178,323,039,095,622,714,376,734,660,121,548,088,516,527,974,
374,639,616,277,787,868,487,782,639,480,769,965,122,226,526,286,152,618,723,
529,641,801,716,568,426,169,716,909,183,852,221,421,044,123,566,533,368,103,
076,023,788,999,393,774,738,889,237,349,176,122,573,363,682,021,732,540,983,
840,153,018,585,904,892,162,659,081,795,466,040,779,965,339,931,426,882,601,
562,817,828,746,691,473,061,326,828,056,072,147,603,036,214,507,906,681,901,
709,542,570,347,057,112,492,966,090,954,499,745,089,605,687,588,983,877,931,
089,736,438,707,664,753,366,559,640,415,085,512,990,212,850,718,279,217,417,
415,383,021,619,794,515,450,242,627,334,109,133,054,013,233,583,310,413,018,
882,109,436,849,207,398,320,693,450,955,738,086,172,167,888,948,966,957,496,
285,486,376,958,109,505,182,654,919,931,566,815,579,828,316,758,054,025,060,
522,041,868,484,520,806,755,467,346,149,266,644,635,063,552,706,123,334,110,
444,067,994,513,548,175,236,374,933,151,494,946,416,299,807,723,916,522,827,
641,016,417,316,219,786,630,490,468,694,001,965,487,804,541,751,782,741,323,
034,367,510,269,064,291,156,681,253,660,719,662,074,527,951,692,466,181,561,
360,292,962,093,159,363,588,790,907,834,290,844,042,325,059,163,342,000,259,
092,377,782,771,523,175,695,156,803,750,254,062,055,795,731,665,835,292,373,
106,243,515,533,163,125,545,758,346,237,529,815,697,935,605,710,813,373,942,
758,469,170,605,876,932,177,894,831,306,373,782,227,714,421,513,007,117,162,
677,915,756,107,953,790,560,704,500,655,649,473,341,472,513,168,629,465,997,
160,725,846,316,713,029,337,730,351,201,422,961,175,472,129,135,567,144,362,
485,099,112,260,232,605,040,145,842,757,722,532,088,145,549,816,310,761,982,
791,489,494,119,583,598,977,253,158,082,702,022,187,173,683,316,489,871,699,
835,472,634,796,371,443,034,258,899,930,949,892,766,823,249,639,145,725,351,
678,851,025,115,756,479,292,740,619,118,552,762,647,108,727,818,110,961,580,
725,215,963,999,634,063,246,602,993,769,204,203,483,138,026,620,410,165,030,
697,351,021,363,301,490,599,718,278,692,629,077,903,005,039,668,132,979,837,
604,016,732,405,649,150,273,699,577,941,708,338,588,659,036,074,187,964,437,
692,392,495,013,333,084,501,191,579,265,128,208,148,820,031,911,143,204,815,
017,638,875,792,393,034,084,737,564,389,039,610,541,226,801,229,097,804,012,
508,734,496,970,085,497,346,245,091,313,904,207,393,007,888,798,914,648,435,
650,791,270,329,982,888,367,699,638,343,393,075,961,063,420,313,412,105,759,
240,289,785,697,546,710,940,301,292,198,413,521,139,120,814,489,629,651,306,
064,883,608,628,160,946,703,283,885,725,379,629,562,597,416,211,044,319,529,
331,820,626,558,081,342,327,864,828,348,442,839,091,340,989,036,618,106,559,
408,123,697,728,457,046,939,911,280,879,273,989,462,493,787,202,994,194,149,
478,475,913,156,721,760,317,988,882,291,749,193,563,633,315,048,552,522,693,
916,398,971,112,359,015,891,922,841,082,041,861,306,015,375,544,325,030,759,
822,252,040,754,589,415,548,873,988,286,469,840,660,631,977,232,902,503,390,
719,138,943,400,851,414,434,567,703,718,310,216,058,092,365,586,099,005,891,
644,174,714,480,375,733,348,057,183,337,220,430,950,686,815,021,148,455,865,
820,041,051,718,407,321,898,348,500,806,482,319,643,448,070,667,927,601,311,
860,609,719,593,267,197,289,261,209,610,558,707,401,900,837,915,295,116,311,
621,480,840,908,536,757,974,339,139,453,508,494,585,484,179,155,952,392,190,
815,563,922,210,612,826,969,691,960,276,897,782,173,516,871,758,924,156,484,
414,006,430,691,248,832,552,129,821,003,936,503,297,909,616,148,515,965,842,
320,370,107,309,706,073,577,240,933,913,747,817,194,610,454,654,161,454,213,
098,850,359,252,163,120,123,244,892,027,307,438,662,700,025,665,686,654,960,
785,546,782,698,248,161,971,207,559,156,522,513,533,583,344,200,440,254,097,
464,657,305,262,329,296,221,373,146,917,653,379,600,697,788,679,895,117,771,
159,082,102,323,162,949,633,101,290,501,405,056,627,157,140,919,452,551,117,
040,026,330,620,805,143,572,919,830,016,368,458,985,442,078,931,467,494,317,
585,701,424,029,281,696,801,676,579,525,610,306,770,618,052,510,577,861,075,
930,861,329,491,502,079,264,695,340,355,908,999,193,781,911,378,558,972,677,
336,564,161,926,447,236,270,333,005,977,352,602,014,102,051,992,767,141,150,
899,986,806,587,810,803,976,052,558,228,842,619,035,247,122,283,718,737,347,
513,467,214,502,656,375,285,517,437,212,332,209,123,485,368,084,055,443,254,
693,666,708,447,296,982,850,083,073,724,604,442,166,367,725,655,139,471,836,
344,763,926,249,176,491,033,495,377,393,136,429,588,020,134,385,749,214,724,
008,229,907,668,100,650,016,224,436,746,488,989,417,912,591,235,997,235,863,
610,459,519,783,754,009,328,858,224,677,469,157,147,796,545,723,130,738,552,
254,979,140,557,228,299,796,753,101,559,637,023,424,139,499,041,832,799,443,
185,791,931,245,159,111,878,558,648,545,222,169,410,734,480,768,268,696,768,
094,167,912,722,761,956,266,444,829,526,829,827,244,612,981,955,172,257,619,
062,667,377,640,078,254,949,456,768,839,032,037,310,025,011,716,740,004,327,
680,266,780,484,424,704,164,201,728,553,191,170,332,591,949,271,568,823,377,
601,149,999,521,499,419,583,333,112,832,050,366,390,554,923,572,330,592,341,
630,451,664,988,885,746,864,215,781,792,274,978,553,284,443,153,119,709,234,
534,881,774,131,133,313,255,985,012,321,669,930,980,364,955,222,938,619,339,
463,157,193,248,602,626,770,698,475,527,978,985,760,982,566,183,326,659,361,
713,364,693,406,149,816,277,882,413,246,730,279,958,510,353,425,908,730,863,
311,361,200,179,287,584,291,146,442,482,509,253,546,367,823,577,326,164,167,
283,908,473,437,790,541,282,605,639,143,442,994,132,923,033,348,009,779,270,
264,304,818,998,328,995,449,023,871,082,031,549,194,604,631,321,663,398,117,
926,870,980,278,924,821,405,761,995,822,569,287,693,262,419,757,050,885,754,
036,313,519,272,273,799,032,270,407,712,221,990,285,376,226,723,730,802,509,
747,822,372,293,317,199,287,340,359,780,800,643,026,209,920,940,417,668,575,
407,692,540,837,068,984,147,657,217,664,901,539,017,655,538,191,368,125,451,
727,081,365,663,734,512,664,144,159,313,221,526,567,421,627,138,427,882,333,
247,654,738,896,538,910,965,524,088,811,593,817,228,054,090,158,549,099,748,
616,336,844,609,541,474,863,625,199,782,060,307,347,826,269,717,144,653,145,
831,365,241,485,727,121,234,760,329,728,777,541,382,331,736,939,110,810,098,
374,895,776,771,782,953,134,730,317,847,912,215,760,243,985,456,648,690,113,
585,210,763,502,246,132,745,505,513,629,311,468,234,569,439,958,629,526,808,
699,271,232,220,920,480,459,470,288,575,923,590,509,329,041,986,934,880,603,
819,834,325,102,450,959,804,828,968,877,578,132,354,054,767,764,988,431,292,
782,996,404,999,761,275,731,662,104,297,237,231,829,170,945,469,040,153,376,
970,581,704,066,919,067,128,949,219,196,622,366,959,135,931,654,470,646,533,
519,724,094,739,394,834,794,011,322,313,576,644,858,635,838,566,152,611,613,
803,076,592,566,492,365,097,004,727,988,810,687,632,078,758,050,551,134,337,
937,481,403,208,170,688,310,125,775,576,941,581,591,073,141,850,463,452,861,
408,087,607,372,449,297,696,172,086,905,644,520,010,667,408,057,257,895,979,
982,547,403,427,850,291,923,405,672,681,613,408,678,458,871,408,961,227,601,
224,605,237,464,980,722,527,021,411,582,658,986,136,594,364,871,160,297,381,
178,552,230,341,781,615,278,891,996,338,172,113,088,507,625,215,924,367,636,
107,873,207,645,916,692,039,152,611,949,936,715,632,588,633,430,267,207,521,
847,236,257,289,014,940,149,647,289,583,838,867,411,572,403,332,083,589,378,
278,249,387,304,805,375,654,547,423,521,602,637,210,257,668,056,086,568,840,
750,356,863,542,312,168,102,324,855,544,207,491,510,721,731,221,377,329,052,
174,733,542,964,650,671,106,171,863,677,343,356,404,724,691,243,554,940,584,
188,703,188,089,804,340,557,743,532,003,477,393,801,830,526,780,984,344,844,
165,735,202,064,903,514,951,815,859,632,695,723,931,585,081,507,102,807,276,
565,878,586,967,025,535,673,908,684,186,713,798,000,194,642,572,308,514,510,
853,439,626,011,885,619,774,681,923,492,712,259,273,388,744,060,097,495,647,
363,529,853,447,015,868,836,930,896,160,072,119,720,287,714,106,050,204,653,
357,750,405,093,388,435,106,673,301,564,626,757,764,826,203,145,870,345,735,
028,813,325,327,986,231,398,312,304,873,880,215,644,699,031,938,989,251,492,
609,180,638,669,159,749,282,444,854,707,457,050,998,191,413,111,110,751,441,
411,393,272,057,317,772,586,835,726,591,996,951,778,942,792,630,862,930,092,
245,255,528,756,134,676,108,925,181,915,845,941,985,361,730,473,547,440,738,
063,012,192,481,466,469,486,276,249,489,260,277,481,055,879,600,769,940,779,
000,694,341,016,159,535,656,312,763,191,421,562,648,537,498,503,286,325,463,
411,418,465,031,506,757,571,144,308,724,230,260,260,657,034,472,224,408,000,
146,205,691,511,701,102,295,551,269,552,931,230,358,826,519,064,509,770,894,
396,617,236,168,433,852,242,275,563,933,243,764,960,077,257,304,416,004,290,
194,595,942,509,566,998,375,888,961,075,889,021,247,953,835,076,010,436,902,
032,463,186,133,828,838,701,373,937,208,953,553,085,158,343,618,557,535,229,
077,292,338,614,688,754,019,800,499,154,424,043,299,884,348,781,485,467,586,
059,301,082,119,901,664,080,198,574,191,074,832,325,874,001,083,949,457,337,
592,363,725,121,855,949,063,132,052,238,466,621,024,544,794,622,026,080,861,
716,314,241,547,180,887,521,700,614,795,472,090,951,368,761,442,303,685,838,
477,058,713,847,926,252,372,143,049,762,565,649,776,394,256,945,591,388,830,
744,986,063,295,266,816,846,823,493,223,204,242,170,457,985,145,600,543,562,
409,213,859,527,966,901,924,845,577,180,602,791,150,868,486,493,665,437,065,
370,326,458,772,614,747,345,921,603,943,168,930,375,052,388,282,964,817,990,
676,225,171,265,375,239,652,808,825,923,115,507,877,716,801,681,480,067,729,
786,590,559,558,526,539,901,011,998,188,973,111,449,727,588,206,380,493,299,
725,039,725,861,664,451,994,731,598,564,433,985,819,488,194,194,210,027,321,
812,299,915,365,066,569,093,083,538,918,075,905,891,529,268,306,795,009,661,
814,263,590,143,437,096,013,512,306,133,284,369,810,078,167,240,469,002,734,
580,467,268,327,381,576,641,979,411,619,227,966,738,488,136,443,085,281,065,
271,534,956,469,227,050,959,312,190,583,190,811,190,646,830,721,671,818,732,
765,595,299,703,835,736,391,646,852,513,568,704,101,895,437,149,237,317,510,
234,117,009,325,260,711,127,315,038,698,263,239,151,713,189,983,473,003,306,
238,385,490,065,650,903,565,530,407,466,348,474,931,208,858,542,727,024,929,
452,032,566,882,196,399,727,257,300,965,133,399,346,332,510,885,457,864,361,
693,930,194,099,453,221,170,797,323,097,041,721,083,537,386,395,538,447,930,
649,830,791,328,774,852,856,505,133,320,123,447,207,561,627,646,267,961,618,
762,045,605,220,278,858,958,156,107,606,272,463,622,643,061,696,505,122,882,
129,875,223,522,164,556,152,480,862,391,013,731,974,771,106,537,839,074,410,
954,800,943,402,267,290,368,748,327,690,493,481,404,215,154,474,115,921,960,
109,305,304,369,205,377,776,278,276,710,895,168,358,314,954,622,268,531,607,
910,515,610,958,913,165,463,189,076,472,767,152,460,984,956,797,134,778,131,
782,818,020,457,500,577,325,698,935,022,935,460,438,878,142,591,735,691,500,
906,891,377,703,467,367,856,901,863,394,718,532,083,652,964,227,279,274,687,
800,756,505,472,053,135,185,773,245,993,304,100,166,658,716,173,896,491,695,
462,057,938,989,260,388,852,891,938,197,003,696,615,508,935,264,732,719,544,
365,109,426,983,470,891,975,081,933,841,514,910,682,893,561,187,914,657,239,
405,330,377,166,686,845,204,308,070,255,573,072,379,888,743,114,257,748,380,
429,118,373,436,675,228,974,244,471,299,030,379,978,518,829,780,226,333,241,
073,214,416,048,152,352,745,687,680,880,655,533,611,983,117,015,518,910,546,
340,162,142,824,552,788,595,494,936,913,415,728,460,725,364,108,807,518,616,
311,112,515,699,655,604,183,481,685,620,764,538,743,041,709,615,291,613,837,
443,705,463,489,144,143,086,388,418,875,773,436,706,745,957,495,647,062,411,
570,648,109,456,363,956,895,553,372,604,723,677,856,527,813,772,733,525,191,
464,763,300,989,993,402,908,284,401,990,831,433,160,621,079,731,464,306,191,
730,975,683,729,079,109,494,678,931,338,880,660,903,741,506,624,872,418,193,
022,801,019,315,296,494,820,601,755,294,260,951,451,411,212,774,948,709,520,
779,609,352,121,527,716,004,312,510,897,625,987,681,861,255,059,868,517,414,
882,175,183,412,527,655,635,768,746,037,823,089,742,785,529,179,774,918,178,
889,445,164,406,444,273,991,769,592,060,351,028,775,267,382,652,336,884,483,
902,219,930,048,657,734,747,223,771,270,779,271,017,564,238,748,850,498,160,
043,356,369,581,457,432,251,008,946,852,757,241,808,669,074,067,364,361,073,
288,817,473,102,900,380,912,958,883,410,614,017,609,634,698,076,832,675,677,
773,513,500,274,477,981,828,560,010,207,442,888,031,109,033,426,827,406,702,
086,689,339,652,578,696,541,941,562,718,111,963,657,682,825,172,539,891,051,
352,490,502,172,180,461,610,019,454,489,830,352,689,989,202,191,629,584,067,
817,544,022,488,624,042,779,158,695,092,779,660,369,671,933,698,784,265,035,
731,383,737,730,154,758,604,643,563,588,472,384,718,682,864,897,414,915,785,
115,558,099,822,841,961,812,253,719,635,056,065,747,565,879,722,718,316,973,
382,698,442,294,774,638,928,603,752,657,199,554,860,823,409,951,008,698,130,
622,778,581,505,124,787,171,862,563,513,525,033,663,991,136,332,315,119,244,
167,346,322,612,908,168,665,770,564,261,578,569,165,497,376,160,144,517,046,
308,192,384,674,839,215,715,813,698,085,905,045,835,398,369,461,629,271,606,
275,922,236,540,529,970,766,735,647,100,766,532,657,954,139,567,988,816,608,
632,568,874,384,436,670,880,680,357,203,454,476,541,526,180,799,420,233,694,
587,447,318,116,080,318,677,172,089,797,919,609,184,923,074,446,647,666,566,
252,983,845,549,030,971,538,175,768,578,888,139,354,066,851,127,078,433,359,
647,664,289,133,183,275,479,323,222,212,602,190,663,768,197,708,124,713,149,
477,726,627,830,556,094,061,786,417,425,893,100,394,129,321,542,042,736,970,
394,543,973,873,889,047,925,118,280,494,596,512,432,486,931,682,874,787,965,
348,232,132,030,906,104,079,166,056,251,255,213,796,999,369,818,827,220,966,
834,498,755,900,460,277,316,982,643,257,820,813,779,392,280,972,408,328,003,
320,163,188,307,597,854,936,683,031,593,316,745,440,701,162,994,046,859,004,
707,895,087,479,549,672,702,806,078,912,070,301,629,168,093,181,220,744,609,
755,082,778,213,265,707,891,447,406,229,618,797,044,948,797,988,120,515,300,
053,119,099,359,232,921,788,043,844,231,779,538,941,917,337,935,922,566,136,
917,351,366,517,806,200,352,106,790,721,010,183,908,821,177,759,605,336,505,
173,210,571,421,908,802,305,831,974,523,227,552,559,542,436,249,521,232,627,
741,927,901,990,158,627,051,496,916,332,266,375,872,967,943,875,280,202,982,
730,136,437,074,383,126,807,951,124,240,016,340,174,635,114,906,584,310,793,
029,420,308,370,282,077,136,362,042,909,200,977,562,276,988,288,016,489,314,
050,373,265,265,416,903,045,878,578,965,637,379,519,536,972,529,673,041,118,
049,371,223,965,230,240,935,488,862,284,782,465,602,496,640,972,304,114,104,
067,671,129,047,988,065,508,352,662,903,805,616,619,840,334,756,151,741,314,
016,018,209,263,756,341,206,174,639,476,116,182,352,733,596,768,960,773,029,
300,100,640,003,417,771,068,206,081,054,105,325,567,343,633,013,325,611,417,
845,213,405,376,746,516,859,451,634,872,425,312,166,829,260,257,179,379,777,
659,847,463,783,640,689,947,502,864,887,847,063,418,779,896,992,262,172,578,
303,921,299,378,230,728,648,137,932,626,681,794,860,938,506,657,699,587,817,
385,102,707,667,087,367,330,951,525,041,928,325,684,849,164,702,684,246,529,
812,625,316,219,160,612,065,358,139,570,992,846,139,515,397,093,691,543,389,
148,459,604,558,767,293,864,121,647,007,463,366,883,192,039,950,132,966,710,
461,804,296,544,334,790,326,432,680,887,469,242,245,656,214,200,600,163,169,
135,156,273,940,131,866,654,738,316,464,049,507,508,922,132,536,556,608,553,
803,923,169,772,397,099,402,640,455,423,323,018,883,437,943,436,141,723,275,
736,440,401,623,294,724,070,384,958,498,950,199,817,518,822,616,704,559,984,
622,858,494,564,854,690,843,527,709,342,122,760,540,110,625,061,338,248,996,
467,998,425,717,319,410,173,673,019,444,069,879,403,958,973,261,823,580,362,
480,910,604,767,576,508,566,764,417,807,207,445,967,162,699,431,689,423,366,
901,663,408,514,686,812,287,465,813,287,155,759,785,017,445,934,759,315,789,
025,020,607,534,538,678,786,780,167,704,969,174,881,070,253,186,269,278,407,
299,325,670,907,732,131,088,465,680,595,229,930,433,780,709,357,490,771,606,
105,915,807,187,731,428,874,013,551,789,912,266,005,417,280,548,717,463,132,
261,249,623,112,660,447,132,985,056,109,889,677,962,581,606,448,628,823,272,
891,372,358,104,881,145,317,166,557,061,638,494,697,746,952,301,492,796,924,
853,917,789,402,642,326,250,014,545,763,017,560,048,911,957,155,313,346,795,
810,101,251,811,280,737,836,308,998,177,768,210,887,112,190,767,982,732,646,
621,577,512,982,422,549,744,738,800,601,959,676,034,313,544,919,116,108,862,
805,014,393,654,026,548,338,713,400,116,178,530,853,293,554,033,037,292,196,
720,354,356,399,408,883,010,113,639,232,217,558,466,921,560,420,877,290,876,
550,664,477,721,664,959,081,599,929,893,903,873,629,852,460,269,034,445,712,
283,666,706,847,950,358,202,603,495,251,468,516,259,776,168,986,757,051,920,
167,012,643,472,415,835,738,642,197,577,788,953,091,179,214,567,356,636,236,
187,005,367,528,020,312,019,666,526,598,902,687,615,833,295,742,467,960,998,
475,348,972,679,825,322,736,976,189,636,159,686,664,763,270,384,054,925,768,
067,270,635,575,907,165,025,795,031,854,980,647,448,519,692,569,468,594,135,
868,564,362,758,740,960,785,501,259,162,999,351,659,981,275,464,798,921,024,
608,157,006,952,320,856,068,818,064,233,503,892,604,917,633,187,670,713,752,
888,274,134,049,510,924,817,057,144,949,172,306,640,116,432,927,525,861,158,
462,012,127,119,307,156,523,862,116,262,226,521,645,691,713,492,172,611,979,
670,189,824,512,962,979,551,388,235,246,245,595,129,608,855,498,570,167,241,
179,650,095,049,579,153,117,190,699,397,701,785,535,456,752,112,815,652,208,
440,659,191,212,794,093,238,795,087,309,546,054,035,175,976,025,200,888,410,
611,482,673,877,936,807,972,042,551,943,173,461,296,144,719,020,806,439,443,
545,391,453,137,666,634,670,504,721,300,033,220,751,162,205,243,034,187,315,
808,579,567,620,969,998,562,884,529,490,675,789,807,658,854,202,815,442,483,
370,628,603,269,646,416,782,125,350,737,195,061,911,786,602,602,930,074,942,
381,249,148,694,561,622,479,437,504,468,081,536,270,357,673,666,303,097,872,
719,666,165,016,206,427,086,095,358,562,980,211,869,667,635,083,205,226,480,
428,472,039,722,520,288,448,587,058,139,136,981,144,746,285,071,756,885,306,
104,909,331,973,270,577,609,670,457,933,067,523,793,797,974,434,124,390,171,
510,319,115,719,666,793,237,164,608,017,325,256,660,506,104,951,664,416,459,
860,504,195,676,722,653,083,966,568,361,158,806,658,373,985,437,171,360,041,
414,324,194,105,558,869,773,852,110,294,308,239,274,294,061,603,146,007,054,
487,952,194,542,816,327,867,298,679,123,949,549,443,216,434,952,143,164,455,
288,552,806,960,786,969,818,076,910,408,504,099,425,218,164,029,120,672,052,
712,066,669,300,664,453,857,572,772,064,406,821,043,705,145,344,272,477,676,
519,088,720,292,603,082,540,285,832,615,084,839,077,699,353,163,484,910,086,
594,980,174,002,069,884,463,007,442,906,148,661,974,493,163,924,591,928,069,
761,225,397,058,329,246,445,530,680,157,166,254,445,076,551,340,075,941,195,
143,702,539,256,809,339,593,438,728,566,726,251,950,535,802,996,267,974,783,
755,523,630,212,489,379,342,175,825,738,676,014,006,974,400,661,921,974,203,
703,974,740,322,343,834,034,270,149,836,079,733,028,873,349,236,509,871,281,
785,040,947,283,548,672,184,263,966,695,232,394,945,132,221,653,247,324,746,
275,388,730,990,100,267,554,992,763,603,037,957,709,874,215,353,044,839,787,
657,636,267,861,415,450,306,193,022,325,888,094,433,781,068,641,347,968,550,
396,182,190,232,741,681,369,674,830,987,423,669,151,676,473,598,314,594,589,
538,293,873,692,530,245,571,606,837,106,232,499,796,012,236,857,238,219,853,
823,648,570,999,476,812,398,329,798,859,112,679,472,157,056,193,837,373,636,
303,909,757,165,284,341,672,626,300,934,316,754,986,296,973,975,915,139,733,
056,490,675,536,981,305,591,741,415,325,987,635,026,769,004,820,701,227,075,
975,277,733,031,931,919,230,699,982,172,403,589,281,413,724,869,018,142,902,
113,830,101,834,062,105,696,335,793,371,682,307,351,602,370,544,414,711,077,
289,878,341,364,570,205,440,174,881,723,347,641,883,938,948,651,885,012,362,
031,397,125,035,040,545,096,321,005,916,609,289,877,998,626,630,621,479,866,
752,798,908,503,714,324,560,146,085,545,821,230,227,348,988,786,992,552,136,
998,366,913,015,778,585,346,346,225,388,215,660,593,989,891,224,718,525,823,
454,730,643,312,405,272,565,488,320,627,681,409,812,392,697,961,218,424,714,
728,207,833,776,353,648,836,825,176,398,819,604,066,525,775,206,099,250,973,
725,770,305,727,689,775,309,472,596,361,536,835,690,501,164,527,587,541,472,
070,007,049,766,290,929,691,915,417,201,795,086,890,753,796,560,640,660,202,
346,480,183,632,280,181,222,796,918,197,033,126,288,927,325,381,801,427,460,
110,553,604,455,196,335,878,959,115,978,028,609,870,471,617,837,147,495,897,
486,549,490,687,328,063,296,233,505,407,244,163,949,073,565,504,404,864,504,
492,740,709,833,420,560,507,050,504,675,511,442,016,172,142,714,034,705,832,
358,426,491,108,338,723,487,843,703,222,898,094,949,212,187,882,078,430,987,
724,738,265,282,319,063,893,561,297,694,044,418,593,141,442,230,419,043,571,
852,465,041,569,414,455,243,625,707,319,704,741,486,507,567,847,392,748,554,
524,486,156,496,581,474,667,983,606,291,335,984,268,354,602,275,924,369,198,
993,820,731,377,096,635,628,233,024,249,498,015,903,069,661,314,345,339,587,
734,305,456,824,582,428,836,751,019,871,457,674,494,554,089,698,595,433,522,
140,875,142,012,603,933,531,132,969,475,387,093,951,298,942,998,569,442,062,
359,008,144,941,802,546,797,944,888,696,199,763,661,471,160,951,195,825,785,
565,303,481,654,429,202,082,609,637,763,182,212,868,261,432,776,038,271,989,
565,706,067,512,359,569,439,021,180,389,184,391,992,901,834,840,231,662,512,
085,535,794,719,579,656,081,188,961,887,223,951,762,597,896,536,088,478,632,
277,744,280,804,999,616,937,388,864,150,625,432,892,812,409,509,367,849,764,
118,494,602,328,869,915,799,834,469,198,654,197,848,912,966,919,171,666,518,
805,273,417,216,854,868,199,609,852,504,869,715,948,237,723,602,073,356,821,
788,896,413,861,341,149,193,704,657,117,795,788,615,108,924,637,262,604,054,
794,574,801,180,220,990,827,845,839,308,357,775,536,655,747,917,902,560,034,
427,901,302,754,998,683,023,702,248,481,624,657,675,285,097,521,849,938,609,
328,856,521,977,005,874,007,973,305,686,994,058,989,054,953,910,373,010,579,
330,165,878,138,116,479,775,251,438,353,418,950,825,425,284,226,302,074,659,
407,428,557,056,339,954,858,940,704,957,855,385,722,561,015,319,315,646,255,
054,396,178,679,999,466,303,722,727,503,307,055,471,321,089,846,013,238,445,
073,802,847,516,048,764,859,537,578,939,849,871,721,519,967,348,874,981,675,
413,243,116,271,190,601,412,867,737,724,771,800,095,234,618,268,887,942,882,
576,300,114,009,790,798,811,411,127,106,950,844,741,151,792,221,143,415,487,
013,858,147,191,385,890,761,417,047,769,659,723,157,449,733,840,792,686,373,
044,442,563,663,606,846,113,864,319,179,995,590,397,395,714,175,689,093,064,
177,508,763,785,609,680,879,126,466,764,430,004,412,039,560,047,550,612,742,
175,066,824,122,576,256,995,878,903,916,750,454,536,388,867,462,315,869,452,
877,091,341,343,728,353,983,056,296,551,422,545,966,985,682,597,538,542,581,
389,720,399,145,332,344,116,930,364,574,153,961,083,195,720,185,031,344,061,
126,106,584,411,425,755,738,529,323,955,492,901,510,236,528,354,457,841,330,
647,658,331,390,162,235,816,033,998,461,689,795,066,021,206,970,626,949,411,
050,078,443,431,494,677,201,110,966,859,370,390,532,632,924,365,322,293,773,
199,601,738,804,881,198,758,078,981,172,659,810,286,010,840,398,529,480,323,
597,120,119,511,767,898,265,022,662,902,146,109,865,507,046,962,173,849,166,
453,614,537,581,152,847,152,366,871,818,702,725,093,080,248,141,557,795,144,
264,369,864,451,867,729,563,012,195,065,626,990,601,267,435,103,302,423,991,
690,103,922,857,525,762,437,712,402,654,486,766,939,242,000,244,312,963,284,
937,653,009,435,272,570,568,678,640,718,182,179,403,486,252,797,501,131,412,
701,704,175,430,718,157,366,131,528,174,160,685,364,380,658,013,495,084,112,
214,305,450,813,727,351,668,536,159,353,479,553,807,785,766,306,375,051,394,
186,511,443,526,863,456,403,343,756,458,403,286,901,260,916,422,108,081,473,
637,469,453,705,394,743,127,948,488,879,943,919,480,980,003,488,147,551,005,
150,941,788,239,999,165,880,945,212,650,603,226,921,224,814,760,753,416,288,
286,611,524,432,192,908,618,811,826,218,691,420,787,112,527,606,474,850,136,
130,940,721,579,663,516,483,752,188,650,172,134,725,944,712,634,576,194,620,
818,051,718,273,413,321,067,617,562,287,906,026,955,323,585,192,130,672,491,
408,703,468,952,715,384,492,780,640,931,389,038,506,906,272,363,543,042,231,
708,211,385,957,814,296,122,406,167,173,616,664,296,275,450,456,604,055,192,
159,909,038,917,439,183,884,483,008,735,841,640,844,513,939,036,892,367,479,
957,064,815,141,292,438,640,996,030,262,812,581,640,461,420,710,899,000,149,
060,002,013,400,461,748,156,567,531,929,956,606,216,344,632,144,914,265,665,
580,057,476,655,625,084,569,632,247,305,675,137,667,495,420,517,395,322,604,
842,122,937,008,998,657,026,919,920,602,609,106,381,148,508,894,682,809,817,
966,413,377,896,144,523,345,142,590,248,693,966,336,350,196,012,255,732,084,
580,099,410,333,866,727,669,087,285,979,752,936,712,863,643,928,801,159,911,
617,811,314,883,843,213,172,203,321,278,261,351,849,915,342,298,533,023,178,
894,054,262,839,095,081,092,715,718,108,026,639,391,609,909,676,417,281,355,
195,035,367,088,168,583,157,717,483,864,224,112,030,166,283,545,142,984,976,
389,815,627,118,892,982,529,007,592,090,812,667,019,549,197,235,367,786,003,
950,076,827,048,189,084,801,818,466,770,195,391,113,528,604,642,579,704,803,
697,626,401,297,872,438,079,347,345,504,238,620,271,799,799,593,128,420,271,
936,673,684,368,291,411,313,684,219,099,947,042,384,514,154,819,591,844,350,
217,788,204,429,576,084,392,060,239,763,082,226,598,662,469,447,009,825,480,
142,272,477,597,414,736,381,151,176,384,992,948,099,576,008,474,637,274,096,
554,909,947,492,370,588,555,064,173,720,176,045,694,940,021,536,982,739,191,
457,814,606,994,897,493,000,702,281,083,694,967,328,281,799,614,519,473,038,
101,500,365,929,883,137,594,932,004,255,376,108,232,823,493,359,226,245,054,
596,787,869,728,055,753,069,061,770,762,633,245,050,348,467,910,814,200,868,
931,495,701,010,413,693,243,416,225,377,687,001,870,826,258,068,336,990,757,
923,665,873,349,756,629,793,295,655,268,220,500,501,563,088,215,363,073,094,
396,783,387,431,628,844,755,999,432,315,459,053,654,182,128,669,127,912,389,
864,731,541,765,771,333,279,052,440,259,392,984,794,896,698,563,177,139,447,
884,376,873,102,848,717,507,584,742,047,164,398,839,159,819,226,114,587,688,
000,669,286,102,393,489,117,506,500,177,015,718,093,548,139,384,284,360,300,
041,113,683,470,621,816,196,329,240,123,925,442,962,127,925,860,177,717,317,
648,532,696,098,265,292,723,854,884,550,662,207,259,504,362,701,213,062,280,
262,796,251,143,358,080,111,119,323,755,284,758,187,948,218,847,399,261,351,
986,022,383,975,017,281,247,791,765,497,775,823,565,216,179,566,508,796,672,
495,919,515,392,785,012,350,801,766,635,933,602,451,651,025,843,545,689,742,
702,220,887,993,185,037,204,182,487,200,205,667,137,560,801,871,760,606,998,
477,279,006,482,097,373,531,434,233,936,356,211,124,892,927,090,142,748,019,
334,013,985,215,222,829,500,026,156,791,040,736,030,171,765,020,353,143,021,
885,872,442,513,659,445,653,645,087,669,533,907,378,665,465,664,591,859,587,
953,990,034,801,942,044,122,147,652,745,504,936,379,721,797,407,831,389,807,
023,783,882,485,751,991,965,576,611,663,674,418,140,738,065,081,403,704,325,
916,121,752,902,636,449,687,384,683,804,303,229,623,547,058,205,984,682,770,
806,253,275,915,011,118,479,578,737,183,111,752,786,317,924,734,385,116,124,
831,472,874,793,963,226,143,985,686,678,969,692,192,047,430,148,396,595,424,
378,333,028,028,901,064,194,582,561,772,498,345,211,736,378,347,966,255,264,
458,824,439,673,624,599,961,051,872,672,622,868,510,140,004,821,176,037,957,
561,565,207,572,686,779,165,845,112,927,307,113,165,246,910,807,294,356,435,
936,567,173,611,366,303,892,362,087,925,210,572,455,789,833,512,480,955,498,
590,430,815,751,510,543,672,995,714,001,688,394,475,738,722,820,222,481,522,
266,643,984,622,794,535,219,036,617,497,401,887,918,188,345,323,574,148,961,
497,005,942,098,688,922,631,503,925,345,633,120,264,759,480,266,373,058,200,
161,193,557,128,492,627,265,296,420,517,151,569,325,167,617,222,350,803,798,
115,434,060,038,403,172,152,959,122,205,326,203,476,118,785,531,077,574,054,
885,687,177,222,868,734,368,768,983,403,756,903,157,109,024,917,559,068,610,
014,373,236,820,067,479,290,414,518,914,099,031,414,263,242,692,261,100,187,
391,010,197,828,250,095,268,830,986,853,919,028,356,192,168,729,880,433,289,
470,443,785,985,742,235,972,116,622,751,486,503,520,347,376,173,857,155,589,
285,068,494,297,770,801,030,855,931,088,490,824,142,918,995,044,512,728,715,
000,272,154,544,764,977,949,313,379,642,314,975,609,897,986,535,012,545,151,
023,938,032,089,056,077,528,299,815,206,467,707,362,725,704,952,495,966,081,
144,203,459,437,898,718,596,067,819,559,056,745,353,387,682,537,810,803,641,
020,152,610,630,022,353,691,054,299,743,967,017,532,768,540,212,016,690,646,
258,895,947,559,107,623,112,401,135,475,408,641,912,945,360,842,775,740,278,
878,387,918,974,444,516,762,803,162,321,285,962,664,193,286,206,646,294,904,
718,567,996,115,308,037,316,536,970,768,503,953,348,739,581,573,975,038,278,
024,391,433,382,658,402,331,130,019,293,328,572,435,861,080,288,967,557,764,
252,542,116,282,975,133,355,102,361,389,976,602,034,991,137,764,820,169,562,
564,396,476,874,224,708,764,602,351,465,390,961,888,558,159,739,090,614,933,
547,180,341,670,212,391,994,221,546,911,828,814,230,870,718,142,732,244,711,
938,818,584,028,220,327,219,133,024,054,785,216,198,941,282,067,461,857,875,
123,165,238,692,342,740,987,867,466,423,217,346,905,114,864,261,783,440,001,
809,189,106,716,457,413,901,363,444,697,100,112,363,391,246,389,639,638,786,
250,067,067,507,380,360,964,594,418,044,020,673,980,023,427,181,558,986,944,
936,744,196,144,186,566,326,323,943,608,223,567,336,671,104,653,535,682,675,
806,918,439,397,283,735,131,351,311,055,851,479,912,532,475,223,073,003,952,
778,614,888,902,156,945,383,942,897,211,251,007,164,294,931,632,869,934,434,
112,050,149,243,737,096,235,175,694,950,493,221,311,744,130,536,316,707,287,
263,158,661,949,598,456,453,041,019,903,010,090,607,214,051,497,710,540,010,
993,572,904,810,326,340,074,192,632,918,695,703,784,479,735,646,206,164,645,
908,360,547,720,677,440,563,637,945,062,817,505,923,536,270,781,860,675,987,
111,687,158,241,961,383,618,352,127,244,821,670,387,084,853,721,843,871,449,
696,200,493,042,236,485,426,858,807,273,932,174,213,678,720,822,367,123,064,
251,649,840,142,928,520,922,592,216,761,765,122,368,311,670,433,194,336,070,
350,740,263,712,314,835,023,313,161,932,252,594,035,172,883,539,516,058,055,
030,098,645,501,899,729,614,066,104,775,796,949,246,108,124,422,768,600,552,
362,405,991,324,283,736,098,500,371,020,762,853,238,796,604,789,951,066,629,
914,040,912,102,615,074,117,374,655,830,933,937,609,991,836,166,257,057,935,
318,241,721,284,754,974,227,057,886,414,306,130,304,086,747,652,566,653,226,
684,271,961,242,717,134,281,750,395,353,883,773,758,412,514,861,424,342,878,
549,702,888,739,317,394,414,521,925,772,954,646,099,265,970,144,240,717,540,
545,492,571,027,549,667,843,174,397,610,312,401,064,946,287,032,018,779,301,
764,599,180,008,169,998,238,017,624,914,505,334,209,602,320,978,955,881,655,
700,391,412,434,434,614,410,360,434,831,665,317,815,436,190,379,985,238,901,
445,385,718,466,338,614,804,314,019,394,024,588,695,566,691,432,559,438,041,
140,992,690,696,673,028,801,475,940,253,929,143,429,290,562,225,385,179,033,
398,551,890,707,765,997,567,494,145,641,194,240,397,245,678,115,934,770,854,
995,381,829,782,796,522,094,927,428,663,077,986,905,986,835,114,286,949,665,
195,561,658,494,138,581,885,359,553,734,990,408,232,769,046,741,933,817,532,
425,941,813,444,611,216,261,668,897,520,909,712,417,961,301,386,863,130,327,
021,047,599,184,114,595,512,799,009,911,011,751,338,290,697,080,218,821,838,
589,672,472,529,479,003,765,099,519,578,636,333,758,005,359,324,821,938,226,
677,775,208,707,476,340,953,565,654,818,271,461,112,814,949,555,088,220,799,
872,961,793,100,146,909,906,534,239,629,806,419,141,212,733,094,713,487,830,
816,930,202,959,120,274,486,869,237,367,176,526,824,084,153,004,879,760,015,
029,630,868,819,224,936,654,167,621,662,324,553,236,863,238,217,089,903,142,
992,950,476,727,792,821,141,763,325,105,314,836,346,169,636,233,596,632,153,
382,012,744,631,612,347,635,940,192,902,804,612,791,391,796,961,419,268,385,
946,191,594,017,911,577,787,843,891,915,523,367,952,120,422,888,705,395,065,
498,782,624,409,062,582,163,672,206,878,415,724,594,113,847,944,749,471,842,
863,826,485,099,690,222,048,012,969,727,652,556,360,696,610,389,763,192,010,
362,250,074,164,598,950,678,621,164,024,235,266,466,474,033,335,651,762,548,
768,881,596,218,714,919,615,508,615,803,043,285,271,440,719,093,036,255,256,
195,023,550,278,780,203,341,381,798,607,745,869,754,551,728,427,228,029,039,
585,873,108,298,466,350,675,715,059,124,038,822,144,623,582,414,027,997,250,
782,215,683,303,352,613,434,414,480,397,626,164,490,019,663,823,503,137,168,
312,464,061,335,673,602,587,030,787,440,807,411,873,117,753,525,367,496,237,
346,877,518,797,779,583,746,066,309,105,787,168,267,180,680,164,826,719,780,
160,725,686,042,231,281,211,199,545,911,081,689,304,174,872,020,108,389,701,
257,386,118,125,357,168,232,855,475,250,572,652,910,136,500,487,857,162,435,
405,589,782,730,568,848,966,090,865,289,992,968,482,527,353,974,696,912,759,
916,328,069,108,973,932,597,643,145,287,675,590,151,402,681,451,532,385,863,
555,378,672,426,597,704,239,329,530,883,058,468,335,728,289,871,233,020,204,
235,462,015,110,892,796,323,772,888,659,324,230,969,390,901,240,841,368,170,
961,208,846,499,364,087,952,863,926,385,241,982,251,177,605,693,550,511,319,
296,566,754,111,445,855,069,739,372,625,150,444,272,355,484,395,316,187,848,
750,143,938,764,734,956,937,148,991,101,043,136,105,954,713,861,887,877,603,
638,331,362,488,136,599,232,459,653,874,572,014,481,694,793,621,896,099,482,
941,214,480,591,946,313,868,355,704,054,525,370,703,971,733,498,822,860,756,
341,076,123,712,115,840,415,487,787,065,594,608,196,193,082,891,002,899,777,
473,186,801,288,124,328,268,600,415,198,605,731,771,364,273,390,527,699,583,
539,821,862,767,854,343,098,501,880,267,044,780,196,120,296,934,190,017,363,
958,875,662,684,237,866,507,891,675,058,226,679,905,290,350,487,992,673,152,
175,089,945,622,697,070,047,012,552,845,445,221,938,520,738,191,408,967,660,
917,515,089,007,426,873,157,518,606,112,551,541,453,852,953,032,368,055,494,
004,811,183,646,995,561,745,598,578,933,393,548,701,287,438,114,735,200,956,
133,989,074,729,499,780,470,570,741,432,576,944,682,989,992,416,455,506,738,
310,310,162,425,702,786,886,422,105,661,898,092,423,731,328,264,717,218,575,
088,475,615,008,957,123,572,749,024,637,991,008,504,972,209,018,855,789,681,
623,634,215,413,473,030,402,297,804,661,453,258,236,223,660,652,112,705,761,
218,807,265,568,897,716,629,657,724,428,041,925,340,924,129,179,369,473,040,
670,244,073,404,034,101,992,548,698,600,138,571,635,473,069,103,968,080,134,
959,851,230,616,623,370,725,119,436,963,497,260,419,732,636,492,062,034,998,
960,602,532,909,874,751,946,211,164,022,326,195,456,845,029,088,844,481,805,
760,873,139,570,896,365,847,226,144,655,677,914,367,714,280,268,302,457,746,
511,460,683,910,357,517,986,361,104,788,961,959,415,742,263,618,755,065,706,
700,229,082,008,711,704,827,546,009,108,641,213,497,380,619,486,425,342,435,
893,152,273,862,092,082,977,201,458,390,401,353,851,326,966,167,715,743,710,
214,786,622,916,588,808,515,122,623,708,630,270,241,406,421,551,674,493,528,
774,188,410,748,761,541,288,995,747,673,736,687,057,598,027,536,965,707,510,
523,770,220,392,994,095,002,910,268,801,971,787,128,348,816,770,290,264,858,
335,672,748,001,699,263,971,682,561,122,861,575,200,750,656,804,815,600,114,
092,655,642,013,314,704,694,007,511,525,531,687,226,774,987,289,953,696,874,
180,293,586,261,996,793,886,586,546,971,930,035,874,058,060,992,786,924,485,
409,858,876,761,441,246,801,585,052,108,036,504,567,449,877,740,531,109,167,
929,032,316,850,442,482,234,737,357,217,108,278,698,715,082,456,556,147,405,
294,470,238,184,130,540,089,054,938,537,827,223,649,462,803,404,130,702,482,
123,029,142,804,739,339,707,063,835,032,591,452,434,537,795,318,464,657,074,
005,220,536,929,184,391,223,462,468,347,262,126,836,668,770,078,932,783,865,
451,767,836,215,604,364,381,862,931,404,480,653,058,413,097,144,583,983,796,
235,990,531,045,851,059,094,540,582,745,467,512,077,429,880,002,176,762,389,
495,285,695,836,186,563,243,575,536,057,266,977,256,019,862,245,551,720,929,
485,992,648,624,394,556,717,770,516,433,004,159,702,124,409,735,042,139,651,
080,199,559,626,002,749,611,595,026,587,425,702,765,638,641,497,709,236,531,
633,108,933,742,520,663,605,515,343,175,879,445,778,408,222,761,974,029,020,
994,316,803,489,301,971,825,381,396,188,546,868,771,226,207,911,621,720,074,
160,775,449,038,302,730,472,788,802,265,877,727,115,202,960,657,290,220,313,
342,671,835,069,942,410,299,340,021,145,536,520,812,804,211,849,082,791,066,
465,054,193,126,116,104,309,945,346,322,871,992,354,125,006,840,665,363,841,
130,768,195,046,828,593,690,444,584,531,070,618,767,922,612,112,023,747,378,
150,347,368,550,340,598,109,994,948,676,074,601,976,340,809,005,019,552,104,
141,805,652,567,716,448,385,018,382,217,680,987,939,667,720,114,817,668,515,
526,496,109,937,964,853,501,366,366,397,177,605,820,679,260,228,385,122,512,
855,054,791,279,806,452,354,123,960,215,747,137,917,399,166,162,879,492,484,
862,904,908,377,100,785,945,188,730,095,025,808,485,020,879,706,933,632,416,
627,749,161,694,786,256,546,614,424,324,475,016,816,143,047,423,363,888,159,
452,284,171,769,090,536,688,427,318,146,499,623,112,857,996,096,590,110,866,
144,358,193,760,262,315,383,387,225,426,139,567,923,974,377,924,392,322,826,
148,120,773,983,273,562,587,150,988,052,829,328,003,236,688,182,258,168,452,
515,164,902,587,967,193,293,662,220,783,809,250,597,578,477,736,216,662,595,
138,923,328,522,222,969,116,454,638,095,321,257,743,288,930,505,121,589,021,
024,780,268,763,618,423,550,203,124,507,371,988,463,510,612,659,615,378,857,
027,314,146,795,809,494,544,064,411,906,774,350,239,150,126,241,484,274,868,
238,338,767,169,371,432,457,683,102,448,793,486,573,366,173,800,909,319,056,
091,272,641,471,763,555,517,535,581,933,346,148,266,006,109,462,337,334,063,
213,003,610,031,646,784,356,017,078,601,212,601,166,816,815,771,752,487,475,
141,677,421,462,339,638,090,703,849,371,666,961,973,872,427,988,419,694,877,
043,522,898,050,828,885,612,899,056,703,232,730,037,131,305,776,745,241,807,
265,252,265,968,208,503,766,452,846,892,704,354,737,759,909,312,359,984,032,
732,463,880,820,094,935,867,738,638,533,844,984,323,033,866,948,033,905,134,
202,475,528,431,339,469,732,929,269,508,751,397,650,786,817,909,159,119,238,
679,931,188,946,378,013,670,855,124,297,345,869,196,693,276,261,391,685,980,
065,506,006,664,030,517,516,954,240,740,078,630,802,947,840,090,624,503,004,
584,023,227,821,787,779,413,776,917,459,213,401,860,647,630,452,299,422,104,
372,824,011,156,516,509,810,580,603,962,580,791,088,026,077,712,644,863,743,
217,742,374,298,478,932,483,206,335,656,195,569,604,919,434,696,717,237,249,
315,083,357,406,827,514,970,204,402,165,853,524,380,096,861,604,504,454,258,
141,575,669,802,364,970,211,434,547,369,121,091,407,047,130,035,309,151,247,
626,665,620,374,096,340,582,127,056,655,450,490,321,570,245,281,770,728,670,
056,771,015,378,438,937,908,621,703,310,049,377,010,345,624,194,325,307,373,
431,795,090,840,220,511,906,165,457,948,047,832,349,543,404,358,438,570,066,
127,121,053,223,069,084,727,212,294,896,979,551,925,346,052,122,826,954,035,
071,780,037,952,307,810,719,933,888,349,345,969,213,026,455,485,095,051,758,
474,509,551,832,810,878,742,610,750,813,641,958,335,982,366,043,972,631,088,
944,097,677,173,107,092,563,787,170,446,753,843,376,299,202,605,717,424,902,
781,005,750,873,668,896,461,528,507,127,917,638,323,232,473,196,989,391,687,
930,240,864,784,762,047,542,693,151,974,854,164,717,888,863,097,966,746,605,
406,838,295,898,079,907,891,533,001,959,717,884,180,410,059,131,083,848,500,
267,688,106,465,485,492,076,446,438,792,190,537,628,776,889,445,421,373,962,
026,975,645,319,210,435,307,707,054,031,234,716,648,393,677,854,123,764,359,
482,225,947,686,970,872,884,722,770,174,080,729,990,197,910,665,179,926,966,
627,301,913,438,196,366,280,094,794,372,253,666,955,970,394,239,442,464,543,
721,718,132,779,203,958,235,813,453,540,628,267,740,383,496,695,083,939,473,
638,066,803,814,553,010,451,563,677,516,773,269,225,376,865,032,078,085,279,
809,289,260,594,933,317,910,267,348,012,139,218,192,166,081,419,464,513,334,
285,291,213,559,288,612,819,956,736,130,827,109,264,944,136,992,644,945,002,
362,561,022,091,337,328,332,279,823,369,148,596,261,318,259,874,669,934,877,
106,915,239,381,678,634,501,862,706,470,951,986,650,925,992,755,705,214,229,
819,036,203,077,040,688,732,725,601,785,691,106,778,449,081,818,934,047,622,
649,558,988,340,558,299,800,699,895,658,849,788,666,759,509,791,303,797,660,
495,929,135,908,384,931,283,285,918,102,519,863,860,817,805,085,799,101,710,
819,215,866,698,933,486,576,599,520,040,025,335,909,658,361,124,076,983,230,
439,624,449,008,492,023,697,571,864,095,315,859,942,388,119,838,486,248,051,
859,278,367,925,935,599,821,512,619,872,527,799,030,079,158,240,760,947,577,
160,131,493,001,437,294,900,341,488,914,735,184,671,944,392,707,484,007,354,
807,516,066,436,123,401,857,687,317,949,340,753,444,149,375,170,031,573,380,
968,557,562,053,005,647,589,953,960,736,067,370,336,310,374,606,884,199,589,
345,345,848,301,225,995,366,165,552,883,022,356,642,068,759,166,476,305,876,
898,145,273,615,012,928,068,917,952,426,832,167,059,349,524,210,908,330,749,
648,247,683,256,017,778,423,053,477,509,893,938,014,924,601,857,128,886,943,
574,987,226,099,981,103,868,305,111,197,014,740,408,807,594,726,256,362,506,
878,349,487,434,448,052,180,282,247,111,542,812,552,319,929,034,955,414,169,
972,010,604,055,324,804,526,694,738,781,599,947,160,040,189,058,117,736,184,
255,682,678,213,767,140,081,496,154,404,352,561,768,296,453,359,294,528,948,
027,057,175,533,577,185,835,968,764,481,955,863,802,081,276,050,165,083,097,
836,663,245,522,378,439,316,570,508,805,505,894,561,597,296,259,811,322,711,
038,285,683,931,553,231,386,896,778,680,693,550,990,301,620,719,386,780,367,
946,362,505,137,898,003,433,836,195,066,401,043,343,842,546,609,780,229,981,
869,992,386,562,151,994,788,327,133,071,383,372,099,288,268,672,973,508,084,
154,312,460,807,478,982,576,741,032,326,351,172,940,109,768,947,545,788,378,
390,931,679,881,603,110,613,308,713,094,707,372,873,860,589,972,506,632,065,
335,786,852,181,238,564,023,379,637,402,722,435,111,998,664,596,380,396,188,
282,499,276,112,916,089,447,612,125,371,910,311,299,717,117,370,646,141,644,
393,594,818,153,747,275,316,874,875,158,273,759,107,698,689,263,543,848,700,
171,852,917,942,219,778,022,451,459,410,598,167,673,372,295,080,403,625,027,
375,499,678,237,453,984,917,509,503,153,185,841,642,811,988,125,337,535,081,
243,190,278,417,619,088,403,402,689,025,673,492,980,549,967,976,471,476,734,
934,959,612,916,729,491,804,628,621,315,019,765,757,365,597,628,314,937,169,
324,399,916,405,942,357,240,442,919,798,828,235,523,194,654,518,668,136,323,
745,074,238,515,127,908,409,486,590,370,791,608,169,044,103,123,889,166,530,
627,855,400,880,222,351,495,339,628,531,405,395,180,133,191,811,981,754,175,
986,479,520,703,296,884,707,679,602,512,257,687,789,576,204,423,961,976,276,
340,996,783,061,610,049,962,645,556,192,767,551,326,331,913,166,060,901,630,
749,478,367,449,201,404,888,538,380,123,710,259,152,167,850,621,693,850,533,
045,400,176,838,100,536,523,339,282,801,012,156,107,579,734,590,376,363,284,
300,455,901,729,238,991,833,651,225,743,474,559,393,069,610,549,368,922,434,
319,987,808,572,856,945,346,761,662,366,748,160,149,139,618,167,664,107,558,
519,024,368,464,186,963,019,054,262,961,993,864,023,536,706,250,388,310,505,
043,976,823,401,574,459,934,546,228,182,456,942,416,937,112,138,904,744,576,
912,140,472,265,805,507,173,241,434,943,345,750,474,744,918,054,301,185,099,
945,782,239,732,655,137,874,978,360,247,475,294,637,200,763,640,049,787,808,
846,330,198,229,528,467,275,117,132,068,411,128,972,759,638,956,275,091,054,
190,639,455,424,200,927,528,870,952,878,154,011,012,585,071,054,310,812,192,
156,945,652,931,142,345,442,145,196,899,734,899,378,505,523,879,716,914,217,
798,321,570,571,600,111,539,355,345,095,267,673,522,090,901,012,268,812,578,
117,307,834,571,013,488,536,221,074,141,652,098,842,398,150,484,196,848,630,
942,683,077,121,068,942,595,342,787,576,469,848,768,390,573,675,674,480,970,
534,092,077,803,680,745,362,861,522,507,124,706,394,944,649,002,436,620,089,
972,795,570,745,244,953,207,418,882,352,161,921,875,225,851,165,586,566,872,
623,884,747,149,978,356,716,008,166,420,897,276,355,140,079,221,154,035,433,
071,253,094,666,992,325,981,280,469,025,006,996,825,273,976,536,861,051,704,
128,196,691,594,452,529,183,325,815,557,975,142,530,561,706,945,444,177,361,
415,289,196,673,986,716,277,733,894,587,244,856,476,731,710,289,051,979,695,
608,416,224,319,572,128,585,904,931,224,894,727,677,064,856,114,827,495,836,
493,660,538,396,090,016,611,898,590,707,800,757,049,434,121,971,968,316,785,
498,169,972,079,184,749,358,350,396,194,759,523,744,788,206,738,676,498,079,
805,756,593,214,904,347,275,896,854,497,251,738,281,235,077,810,433,424,017,
778,991,467,714,391,386,552,687,026,077,861,175,625,672,713,116,282,551,710,
357,037,957,133,147,465,740,583,065,023,052,057,754,915,041,495,439,680,475,
932,670,772,859,852,169,715,030,365,189,303,414,979,957,964,335,009,514,450,
698,610,295,389,362,602,920,007,484,061,958,479,274,383,167,224,663,131,496,
317,671,241,467,044,857,385,799,356,553,986,365,314,094,685,105,967,745,895,
488,095,893,267,315,448,481,300,067,441,631,692,382,120,517,390,299,256,263,
574,239,253,851,877,545,843,582,896,284,079,902,969,988,976,452,243,712,021,
476,739,152,783,624,951,966,661,215,581,370,984,359,056,714,103,705,073,212,
108,723,962,197,328,831,213,510,097,527,275,092,899,201,965,432,829,973,103,
937,279,975,158,065,091,263,362,352,821,077,978,157,467,046,047,558,902,011,
644,048,289,882,398,315,257,061,637,958,902,384,154,954,614,662,048,060,413,
013,292,336,262,876,642,259,215,107,391,066,442,624,370,155,598,385,773,501,
714,726,636,604,735,453,808,559,573,318,363,041,933,150,718,621,680,942,091,
806,392,604,507,663,523,010,585,632,831,511,715,319,916,459,550,423,740,575,
183,314,277,397,347,444,850,489,151,983,268,609,893,555,421,506,985,767,784,
750,468,616,857,579,230,248,427,627,832,253,473,774,104,094,961,342,504,114,
263,874,985,068,093,987,730,429,960,999,441,063,461,871,888,397,909,357,495,
285,735,495,577,009,534,158,043,091,638,060,332,716,606,069,359,773,868,174,
118,711,978,102,529,774,811,147,443,440,023,902,503,829,455,991,242,535,519,
842,993,015,350,574,282,521,680,756,738,621,419,791,057,165,787,223,354,568,
858,185,947,807,723,526,036,979,605,079,155,702,010,949,853,223,603,030,258,
625,552,500,848,478,543,112,659,863,574,271,461,658,235,747,331,017,753,317,
471,797,883,153,442,295,576,601,951,236,348,578,197,792,005,094,835,692,671,
069,168,168,587,400,144,301,150,689,722,484,327,154,292,499,068,912,165,555,
489,979,586,778,515,134,536,991,326,459,724,710,434,598,938,556,272,768,139,
633,358,419,612,233,355,640,344,766,430,072,225,786,423,175,864,848,139,985,
091,040,839,392,823,670,575,751,896,174,084,836,000,134,640,758,202,516,655,
217,483,317,455,217,640,235,134,273,361,944,403,103,109,856,709,933,730,057,
027,052,942,975,709,396,832,777,479,609,397,537,604,831,267,473,517,078,805,
703,406,390,838,862,291,003,331,695,162,655,524,264,348,638,715,384,407,430,
271,487,615,196,653,301,915,111,223,525,686,341,260,118,099,427,223,586,254,
645,044,565,722,123,406,227,908,499,605,485,819,542,487,793,053,460,178,269,
900,304,312,309,120,195,586,631,325,366,086,576,887,654,557,102,295,206,186,
051,341,953,930,606,992,689,010,793,755,826,688,162,225,051,527,491,374,995,
710,099,735,425,084,439,615,655,606,461,806,217,064,147,681,011,068,873,544,
758,921,402,891,483,438,150,971,685,772,476,213,337,027,584,433,019,212,901,
507,763,272,496,704,407,784,322,352,417,199,946,116,395,074,843,026,304,384,
230,920,246,933,003,156,338,314,207,754,893,719,903,107,737,084,600,364,656,
684,667,562,872,962,955,548,912,422,616,932,821,120,230,099,892,118,373,271,
524,257,810,420,714,825,904,827,045,140,473,262,020,976,149,087,806,064,362,
055,204,337,436,576,475,947,335,543,508,834,229,081,311,724,649,823,141,480,
847,092,071,213,773,146,179,399,849,450,913,712,888,735,493,332,332,975,446,
784,840,193,603,500,519,712,860,641,531,537,031,911,618,468,110,810,127,075,
308,329,477,805,371,321,603,039,559,563,836,121,189,280,588,175,373,191,500,
789,681,702,484,352,190,128,702,218,175,093,606,024,856,127,518,139,952,058,
633,084,969,659,140,363,885,912,552,640,553,131,528,704,241,297,621,157,455,
511,948,174,350,098,551,411,005,948,113,974,801,108,367,182,199,249,321,936,
378,718,167,921,571,037,059,487,378,888,019,432,359,782,562,289,825,121,712,
359,274,365,632,463,718,180,878,227,956,940,555,714,031,411,941,348,559,664,
704,346,736,155,345,028,013,800,847,687,998,683,450,349,333,213,157,392,956,
598,688,831,650,884,651,355,615,264,212,122,465,161,746,397,393,277,541,784,
008,923,930,426,093,671,149,464,512,684,699,319,292,966,841,189,204,660,718,
942,287,347,969,688,142,167,357,976,756,528,548,851,711,642,575,463,454,951,
115,310,849,085,780,778,835,134,168,122,030,791,122,386,099,792,475,711,373,
859,343,068,565,383,823,381,642,934,528,818,914,959,680,145,751,283,102,768,
808,388,955,073,222,539,390,478,900,921,881,162,806,840,997,443,183,852,844,
826,899,935,816,901,715,181,165,183,999,347,815,909,236,100,846,412,230,684,
377,767,584,105,456,356,180,681,815,049,796,795,984,205,681,063,791,140,422,
729,243,503,820,276,794,855,632,816,791,727,578,765,880,681,361,502,375,796,
220,923,332,247,711,912,237,757,200,426,878,906,809,714,243,295,651,502,183,
657,583,249,940,318,182,111,098,016,214,467,190,592,130,608,370,765,948,508,
496,842,441,282,000,916,548,937,191,267,023,576,636,614,082,822,783,082,730,
721,389,837,159,386,839,787,127,790,383,830,512,472,454,364,704,847,648,960,
158,677,009,511,619,066,485,755,289,884,116,480,126,017,908,877,989,869,346,
467,701,993,973,067,600,466,790,322,893,499,730,500,342,471,264,471,969,413,
503,497,340,515,575,654,559,689,902,308,548,674,067,981,865,532,356,995,962,
033,668,589,851,248,252,006,814,504,558,131,834,072,745,904,074,910,565,864,
476,910,495,360,796,437,785,739,192,511,764,277,078,486,167,619,077,242,024,
795,798,855,222,021,457,824,513,505,786,686,135,969,110,297,073,440,175,035,
509,020,028,819,978,193,598,562,960,370,208,636,912,499,792,293,148,818,773,
436,889,640,546,544,718,865,591,059,605,712,558,176,618,486,839,506,269,846,
358,349,386,168,334,977,586,510,153,929,254,548,019,724,491,086,210,344,512,
850,890,989,134,602,597,592,087,328,015,093,299,440,081,620,272,888,936,161,
504,244,271,654,977,940,377,944,613,886,501,608,463,008,398,296,215,349,252,
092,840,358,349,363,122,964,786,412,832,562,827,392,037,873,148,248,614,456,
236,509,183,058,549,801,881,622,485,842,544,962,323,051,168,061,939,787,207,
845,459,696,353,809,146,755,125,559,072,447,021,018,033,988,999,474,026,132,
252,349,566,989,182,131,914,712,030,947,542,857,287,435,159,297,109,029,700,
738,153,196,994,576,585,634,715,655,814,444,049,057,374,679,033,569,235,269,
983,505,664,229,057,956,192,100,977,469,832,118,309,099,497,295,052,818,457,
409,835,657,062,775,830,798,200,895,251,734,656,927,866,809,055,320,261,397,
481,894,184,682,430,638,713,300,558,999,654,834,971,499,411,284,184,719,809,
783,486,665,177,266,621,899,599,200,985,489,359,195,576,931,675,910,531,082,
491,998,311,181,574,276,357,640,060,450,807,913,081,856,897,606,021,766,996,
506,293,792,737,874,973,598,790,900,195,775,666,696,590,021,517,796,547,330,
061,400,637,666,552,839,873,113,311,442,637,677,019,897,937,164,175,398,324,
298,053,440,648,180,710,750,042,407,835,815,471,328,341,049,943,424,502,607,
539,324,771,527,189,084,790,641,255,487,000,352,810,679,106,814,851,353,895,
276,494,331,612,649,968,482,891,369,932,471,444,742,659,780,384,096,596,283,
874,054,016,285,904,737,975,150,472,424,406,296,576,849,614,829,052,324,472,
883,309,189,829,168,135,197,143,031,882,795,654,290,752,105,866,372,932,370,
381,510,455,726,618,425,807,419,920,302,762,998,471,303,970,707,818,182,131,
421,278,853,024,106,526,770,096,110,335,043,694,226,754,869,114,426,657,766,
979,792,828,100,099,359,917,495,793,282,619,164,283,737,597,178,511,724,508,
867,891,345,039,268,646,429,742,860,033,399,100,444,198,482,998,638,425,423,
559,521,275,272,100,723,854,962,104,020,070,484,670,891,748,988,020,595,275,
747,252,116,863,573,550,864,339,261,923,353,899,584,492,916,651,504,347,712,
640,583,161,486,205,018,786,109,987,774,173,923,889,604,929,572,958,623,536,
584,107,716,823,610,425,192,072,084,256,192,831,174,952,388,912,477,239,946,
355,437,064,707,673,756,866,353,866,937,719,220,303,408,127,943,734,447,892,
942,475,164,210,969,666,523,446,625,260,535,364,803,432,620,865,201,798,115,
519,626,372,308,192,295,935,088,665,424,361,316,618,683,796,259,957,776,992,
133,687,645,130,665,639,936,726,022,851,745,628,719,885,081,631,900,779,087,
592,953,728,276,179,631,560,712,049,888,374,176,847,073,987,784,853,878,221,
882,324,895,648,672,295,432,696,711,242,446,877,685,343,509,776,528,079,515,
865,166,646,520,719,408,296,043,119,911,760,706,477,633,125,021,229,881,138,
692,570,771,899,398,557,996,011,033,053,614,879,740,580,666,546,268,591,364,
582,899,823,445,007,054,023,383,553,097,762,285,858,720,803,869,619,925,460,
389,277,252,413,538,353,559,428,283,306,297,593,665,391,425,572,396,703,307,
029,551,437,125,441,513,593,365,531,057,328,643,739,345,822,281,825,863,022,
768,985,801,529,340,672,526,243,650,096,590,247,177,581,997,361,354,834,522,
296,541,178,647,406,158,374,083,802,030,951,203,082,560,892,166,310,418,853,
324,001,461,726,142,776,503,832,554,517,882,840,292,411,497,030,309,919,365,
118,827,683,551,202,806,424,208,778,074,677,849,069,597,826,766,258,030,644,
153,116,767,966,055,307,174,856,106,568,741,648,421,082,886,953,530,825,896,
902,198,868,374,061,260,125,010,629,497,068,522,669,633,054,093,305,714,929,
246,836,780,820,645,297,777,766,896,826,746,047,501,517,894,565,877,529,226,
347,998,597,150,291,022,897,626,361,968,187,209,851,368,799,128,660,316,771,
132,205,936,322,014,897,359,429,648,062,431,286,046,460,386,880,121,741,206,
139,930,212,517,245,776,838,212,424,734,263,897,118,800,845,958,891,431,938,
383,134,354,348,090,265,685,412,386,975,958,048,224,344,735,868,812,735,017,
173,640,035,246,652,241,805,897,528,747,841,816,508,882,953,033,850,231,341,
715,529,718,612,781,000,267,835,958,293,988,034,064,325,597,559,204,487,306,
428,897,565,845,625,234,857,624,328,777,971,691,910,094,487,387,233,453,249,
459,393,854,272,544,707,747,197,273,772,781,758,898,385,811,008,021,964,741,
241,501,209,892,115,206,953,699,316,757,853,220,274,904,520,680,032,720,157,
756,977,742,222,167,778,379,472,627,568,059,572,075,267,695,111,659,806,021,
716,501,887,303,823,541,746,563,706,601,521,253,004,800,065,839,284,297,124,
350,272,100,568,057,863,523,644,122,665,347,816,809,655,193,503,489,348,680,
884,394,768,933,933,121,912,710,414,613,576,350,022,754,922,240,153,199,295,
510,641,061,798,809,324,670,845,848,840,783,620,457,636,641,603,028,397,611,
840,540,516,807,865,448,677,042,767,682,380,441,448,361,689,630,537,211,074,
204,301,947,094,147,188,284,132,557,311,062,006,721,470,673,955,330,644,586,
313,545,810,046,933,815,428,927,402,306,074,617,794,159,259,191,589,075,475,
712,060,399,594,084,612,200,964,747,192,878,954,559,976,656,453,482,803,273,
131,083,483,977,096,518,883,018,905,422,098,265,001,317,493,102,089,303,494,
936,227,753,475,220,056,036,921,272,522,571,615,946,352,175,772,982,496,556,
483,868,108,450,523,079,586,447,275,753,454,866,095,017,103,894,202,932,208,
368,087,690,904,681,796,566,245,160,029,362,583,172,667,691,521,118,462,742,
049,502,470,967,849,798,352,508,635,212,263,296,884,513,933,063,463,380,569,
452,547,299,085,375,380,908,036,828,933,927,673,794,804,545,391,938,036,288,
689,825,398,334,468,206,214,200,751,460,478,393,919,580,888,943,398,520,711,
323,256,856,723,317,338,195,526,174,807,275,789,841,077,795,437,559,577,687,
147,740,564,591,899,988,410,927,543,409,075,308,647,218,449,322,063,592,603,
680,031,000,119,115,816,843,823,949,148,341,438,788,944,146,329,392,991,938,
090,593,160,270,652,313,801,570,573,609,704,950,422,641,177,643,343,452,299,
419,089,108,183,954,124,402,282,287,248,760,588,084,876,872,020,427,636,246,
841,110,350,164,147,156,342,042,108,704,298,132,178,503,414,765,208,067,338,
504,352,512,895,065,614,128,984,909,958,631,649,910,634,839,137,554,587,093,
324,631,302,901,107,606,726,426,527,791,588,553,072,242,553,291,501,735,079,
064,472,689,239,676,868,759,637,462,881,280,157,461,250,944,284,195,154,228,
042,011,043,003,624,251,501,177,201,540,637,589,499,281,420,707,535,546,042,
644,265,676,670,543,820,080,315,546,300,458,774,187,466,896,029,970,851,628,
130,461,309,955,595,426,823,156,844,837,966,310,060,282,571,953,260,636,583,
583,031,183,667,632,063,636,128,351,302,840,191,707,924,098,232,040,094,232,
755,945,340,223,287,275,317,514,808,649,012,385,249,602,344,988,722,099,332,
004,735,215,901,612,206,036,792,086,251,262,868,813,857,749,703,835,918,306,
420,531,068,514,538,830,240,306,233,531,121,841,960,364,769,958,625,367,289,
202,876,599,631,068,586,709,798,456,425,783,318,954,920,722,907,703,659,939,
997,284,847,174,766,704,550,720,158,896,087,810,799,961,646,340,851,554,739,
132,702,348,705,449,731,034,819,858,856,105,283,292,271,587,348,704,260,229,
518,912,860,488,118,082,339,160,319,913,497,209,881,183,099,733,690,941,598,
126,094,617,728,038,067,171,412,575,902,626,799,058,142,968,305,799,647,353,
258,102,265,283,906,963,446,517,550,770,905,743,217,439,517,141,663,862,801,
758,703,224,710,711,428,061,056,211,513,510,079,884,278,142,284,171,676,985,
850,638,349,670,063,268,169,581,110,228,260,706,898,422,361,263,512,576,499,
886,874,704,937,247,109,837,701,765,079,667,689,383,229,857,789,281,155,471,
051,520,150,160,498,234,731,947,302,332,032,560,811,888,629,714,526,527,309,
997,225,920,581,149,407,113,549,139,577,489,417,021,156,479,465,949,922,163,
672,730,233,958,939,080,209,224,659,580,907,668,052,857,273,867,106,369,073,
819,179,080,524,237,698,912,380,489,941,748,883,116,441,620,987,085,171,433,
757,089,090,666,243,546,042,181,526,472,176,457,263,176,314,189,324,920,658,
581,004,378,871,293,393,032,436,696,846,738,871,673,174,141,135,997,776,203,
186,373,117,554,952,707,757,709,424,619,775,140,575,692,351,207,257,573,911,
646,095,007,932,692,358,062,521,259,708,452,922,465,830,797,933,614,253,709,
468,595,984,146,854,468,968,735,334,534,098,005,271,663,141,660,129,955,550,
596,454,967,414,478,474,284,971,705,074,621,891,883,487,910,981,202,757,664,
410,237,056,090,124,867,020,436,495,620,447,928,767,056,409,533,044,886,062,
241,277,133,863,059,522,682,427,216,177,589,419,411,055,553,510,615,277,206,
449,852,361,221,784,824,333,507,873,219,198,865,837,624,908,557,331,629,287,
622,220,000,280,251,620,437,535,403,796,925,783,355,226,905,014,653,297,818,
850,944,978,492,013,838,139,176,815,690,587,272,541,736,782,397,273,793,244,
326,623,526,254,495,281,585,293,366,768,659,551,440,237,351,365,043,559,528,
422,358,617,228,632,553,041,155,959,409,919,559,329,728,072,468,761,788,930,
378,167,700,220,819,475,721,024,847,580,461,790,503,863,479,541,537,603,217,
667,987,719,145,965,197,854,829,816,751,304,374,480,583,404,401,529,833,072,
819,780,972,230,968,680,928,212,939,192,391,388,810,069,518,092,446,672,784,
246,944,809,544,130,656,834,098,868,894,034,769,649,832,812,385,796,183,997,
913,254,358,260,132,808,353,397,628,976,797,703,325,114,929,777,483,729,981,
053,958,797,597,309,838,222,985,044,131,561,525,956,150,728,066,400,665,580,
739,853,180,957,753,105,421,616,395,380,361,029,078,691,027,039,354,750,667,
579,874,356,461,996,365,368,206,592,111,812,662,868,138,136,647,063,484,801,
131,023,878,686,907,761,963,549,698,741,348,396,366,404,157,465,430,184,091,
115,155,271,431,690,366,576,086,049,880,940,271,973,200,762,794,301,161,763,
700,401,731,109,310,579,245,480,900,886,580,766,456,206,317,717,080,150,794,
742,703,901,819,294,926,278,547,738,590,532,204,158,229,072,963,022,782,151,
300,422,308,698,150,399,960,836,171,659,007,544,878,868,189,944,316,808,735,
357,415,500,447,654,695,872,690,599,233,434,482,210,448,507,750,684,928,363,
965,524,515,247,929,538,498,920,154,427,893,400,812,443,668,207,088,990,174,
370,937,002,504,436,437,086,669,343,939,717,303,924,747,539,549,123,461,926,
919,759,509,449,613,276,631,138,031,089,917,819,281,752,121,255,976,286,097,
976,302,065,767,700,462,298,918,130,823,232,642,047,550,778,645,256,162,268,
848,946,975,029,518,470,384,886,477,748,044,627,722,247,179,540,738,934,893,
373,867,858,485,035,618,199,614,482,146,699,115,932,761,413,096,651,914,928,
689,100,427,992,268,824,175,684,272,551,570,305,571,758,377,123,957,537,776,
368,416,154,991,516,750,759,473,708,410,920,435,220,563,199,694,465,584,497,
648,375,283,469,934,729,108,841,469,382,751,651,791,221,578,938,747,231,620,
770,400,093,782,785,756,527,737,410,335,630,473,836,485,492,050,822,661,992,
346,855,722,398,247,261,556,663,018,567,842,058,954,003,724,321,935,953,785,
173,369,910,668,525,301,610,538,794,854,906,332,596,514,279,475,025,724,892,
446,283,999,682,815,012,425,912,892,496,975,168,849,186,441,078,584,911,794,
490,652,510,917,367,954,393,817,934,034,207,705,989,819,284,498,888,698,746,
686,738,607,663,425,678,454,040,802,986,890,832,849,615,691,957,112,037,730,
075,631,716,826,735,301,074,625,801,970,695,097,759,815,977,343,412,478,458,
985,878,031,467,495,680,886,661,156,186,155,860,622,381,053,859,608,438,211,
186,220,883,173,554,135,063,367,413,821,549,009,863,719,101,616,219,394,735,
131,946,390,616,435,226,536,336,380,956,889,081,117,393,839,804,766,426,074,
167,698,050,399,597,747,518,630,280,445,063,326,526,908,557,441,403,026,621,
741,935,858,119,188,145,118,258,568,025,388,615,918,584,687,192,659,809,392,
160,322,786,138,899,205,245,804,067,707,665,688,151,133,417,549,980,122,049,
672,770,283,614,957,185,640,228,699,612,724,607,304,426,169,414,909,459,170,
596,308,922,092,505,030,528,279,156,297,738,797,178,191,116,634,573,417,835,
739,803,199,147,988,539,794,002,597,166,066,759,513,903,130,527,826,560,249,
353,101,228,001,133,012,083,263,879,385,217,900,072,469,100,067,378,098,573,
459,129,096,110,963,991,151,819,177,800,652,674,117,357,332,863,716,130,704,
161,647,149,357,443,647,336,017,103,638,705,118,605,475,775,676,187,028,813,
301,202,499,144,560,928,917,577,242,544,979,634,001,733,736,493,684,722,433,
331,751,286,592,581,362,259,931,433,128,418,635,408,683,860,621,398,380,977,
211,035,000,911,383,169,706,124,962,134,481,869,926,626,044,591,415,345,547,
245,421,352,003,293,208,425,687,661,203,901,384,089,516,820,576,923,514,192,
054,432,239,390,575,518,299,775,100,816,983,554,742,086,964,815,526,457,652,
753,178,074,848,640,010,692,018,417,135,685,692,112,991,711,821,563,381,463,
604,878,463,562,509,236,623,928,595,972,262,704,101,636,887,198,892,083,989,
612,208,045,908,665,236,723,545,149,025,142,876,510,193,265,143,378,871,624,
830,186,210,240,930,245,639,048,012,254,645,841,721,459,310,628,112,461,757,
714,971,167,438,501,917,085,197,797,919,158,736,190,303,397,658,359,708,267,
595,148,413,117,784,280,484,917,242,211,734,103,542,000,315,752,173,791,275,
865,948,781,972,320,889,326,062,226,811,493,653,872,430,909,131,418,059,134,
764,449,564,607,572,304,273,086,473,509,708,421,540,338,430,800,491,068,753,
494,850,774,862,226,903,215,796,608,504,787,030,266,897,641,291,433,053,380,
828,268,912,637,596,024,694,892,999,973,746,395,890,155,115,677,031,921,649,
067,847,290,219,573,556,871,795,339,367,937,824,049,219,702,874,501,135,071,
008,127,719,271,632,284,371,287,616,608,181,867,410,971,791,106,791,417,147,
317,361,601,866,481,225,781,225,916,558,094,250,080,005,207,172,627,619,377,
251,030,344,085,883,672,008,411,903,292,542,109,284,917,087,624,682,664,306,
877,411,687,399,827,039,606,594,185,269,272,583,335,935,099,414,717,270,738,
557,796,779,010,603,633,472,701,270,650,167,130,025,793,688,058,432,898,997,
062,921,717,532,094,561,057,331,036,233,323,876,779,734,269,074,104,589,950,
457,891,408,588,343,732,560,101,403,623,717,410,921,613,222,505,363,368,912,
954,237,581,319,769,417,027,945,178,313,603,581,862,214,894,546,120,263,029,
287,579,640,497,086,702,272,293,392,408,812,693,401,117,949,475,960,376,738,
759,581,515,159,698,426,363,661,286,265,084,932,310,834,105,769,867,348,999,
544,513,189,303,085,280,871,143,392,559,107,436,704,538,629,598,368,103,523,
510,985,386,907,778,688,235,312,941,319,306,433,099,470,108,056,603,589,576,
682,443,112,770,232,994,123,318,276,321,171,060,728,203,866,976,804,984,273,
579,085,548,023,091,682,910,510,937,578,133,187,124,364,837,363,339,994,060,
043,785,049,759,743,603,497,556,664,080,524,124,217,137,117,589,533,503,956,
116,247,641,551,766,789,380,424,377,925,434,647,039,134,514,977,545,385,614,
151,640,651,288,387,454,299,502,359,788,637,500,186,119,418,767,940,579,851,
335,087,981,660,143,537,926,792,030,051,179,221,830,940,327,726,852,115,331,
859,317,737,617,422,744,337,346,186,474,462,781,806,791,466,341,265,766,403,
188,707,895,009,070,239,123,634,900,200,597,778,233,449,490,550,801,159,140,
859,120,330,697,699,201,678,695,552,048,307,087,646,437,332,229,175,561,211,
881,135,348,628,929,522,626,174,607,948,376,088,022,065,507,424,783,290,408,
149,981,044,547,056,992,218,658,037,410,074,919,563,408,168,587,271,102,089,
773,697,495,255,909,966,142,977,559,369,429,009,616,916,147,159,882,129,738,
857,237,488,115,506,414,846,936,590,298,875,353,139,313,801,558,493,235,879,
947,769,555,068,242,030,256,285,884,274,801,918,116,686,471,232,035,050,187,
727,690,361,627,126,601,440,072,406,192,475,854,399,252,106,205,606,799,950,
779,612,806,800,066,557,351,273,837,298,962,887,410,315,479,722,427,662,280,
057,180,968,587,649,600,996,578,560,151,340,664,900,957,010,409,380,345,817,
748,749,618,457,962,217,542,611,824,825,821,487,553,023,779,962,988,716,673,
408,300,729,403,336,386,576,140,335,886,912,725,961,707,301,676,391,812,721,
817,060,362,057,398,696,463,601,903,392,868,219,482,278,940,907,888,495,589,
605,156,106,116,433,142,627,938,779,063,111,516,303,094,506,238,471,446,289,
589,745,662,938,126,900,210,783,887,734,838,632,195,221,559,430,350,910,448,
336,723,729,666,185,107,877,955,983,916,044,561,319,857,505,098,139,911,932,
432,855,755,464,306,656,539,033,626,583,143,122,839,550,687,027,786,670,120,
385,187,588,759,989,738,236,490,036,070,706,933,320,637,709,016,940,800,214,
298,005,245,564,056,636,311,460,704,217,501,910,054,867,256,501,383,708,912,
038,191,525,702,156,857,179,347,810,207,054,960,537,292,377,005,936,487,690,
315,936,260,768,158,345,098,313,305,148,225,774,158,975,649,255,870,479,650,
477,414,914,027,529,692,794,219,456,270,288,688,765,192,528,784,680,720,040,
739,549,826,590,924,661,759,806,746,288,838,786,119,066,367,015,987,915,491,
788,941,729,095,120,492,310,368,688,209,440,997,618,854,776,317,555,039,582,
407,497,111,012,944,953,941,988,852,937,519,324,472,996,904,224,575,930,251,
829,264,402,745,254,213,320,234,748,371,697,496,159,528,610,477,184,850,897,
036,844,321,349,202,407,819,990,181,394,110,450,503,193,298,770,783,987,131,
741,324,467,994,347,402,999,768,418,485,909,445,185,681,546,019,956,421,973,
713,820,201,803,909,330,259,755,032,326,073,889,667,003,834,946,668,034,086,
679,152,584,896,670,604,119,528,497,536,491,754,090,195,130,607,125,322,320,
365,353,814,028,223,666,792,282,858,945,088,025,404,078,002,412,234,974,869,
252,467,038,596,444,812,590,525,106,595,250,835,760,432,830,960,449,780,212,
522,652,364,326,521,128,224,850,321,511,960,668,082,764,822,488,127,720,200,
151,930,379,324,602,600,329,515,362,152,654,073,781,857,678,308,197,309,871,
297,829,464,974,805,477,630,495,907,287,795,035,757,770,558,334,069,139,842,
740,097,061,594,233,010,771,370,885,533,846,164,595,092,385,918,390,296,632,
651,498,315,029,790,210,983,977,113,616,413,800,076,305,140,370,788,125,046,
293,918,334,601,520,073,496,966,880,334,764,165,290,088,379,976,546,834,192,
477,712,383,976,867,711,635,563,246,213,068,655,578,931,844,595,268,630,272,
158,445,526,426,560,605,252,384,554,662,329,907,962,120,657,588,677,426,926,
737,384,105,274,735,886,005,717,837,903,431,619,716,585,072,295,282,864,952,
400,533,284,291,999,771,185,515,133,657,068,484,745,319,446,760,623,838,626,
544,039,993,905,214,471,104,257,147,366,392,694,910,823,092,921,454,539,467,
633,712,094,607,982,893,488,263,245,064,374,255,666,345,518,655,416,798,008,
239,043,227,468,702,535,847,590,796,293,023,016,622,619,166,551,289,818,809,
682,625,241,020,527,007,125,101,843,189,624,394,939,336,837,433,902,212,562,
941,271,766,992,982,116,949,805,863,223,454,491,621,048,406,378,893,012,866,
699,939,039,665,365,759,607,404,085,330,956,747,317,363,033,000,151,956,265,
875,973,166,201,832,599,779,172,301,992,712,547,378,211,508,332,123,482,259,
567,913,522,989,768,967,365,078,494,541,368,893,802,966,912,880,776,303,385,
571,402,240,890,758,278,905,600,023,210,889,814,649,261,254,262,660,508,407,
524,416,616,614,274,856,972,765,882,856,252,501,744,012,189,585,465,009,435,
030,751,495,390,231,058,761,507,840,475,109,456,679,389,698,225,771,078,531,
397,187,901,612,800,432,872,050,242,101,231,857,059,530,877,205,330,695,003,
965,451,650,243,854,585,023,290,512,382,512,279,066,351,639,432,182,485,001,
496,144,101,317,169,355,459,699,578,587,826,268,031,543,528,676,798,948,266,
150,186,277,376,569,718,361,470,146,872,401,242,929,489,989,096,091,118,518,
130,980,672,239,285,196,573,370,437,428,460,836,021,711,203,870,524,493,010,
103,244,073,978,059,879,546,287,305,435,871,804,062,691,521,272,943,040,232,
441,254,373,399,992,570,812,920,696,159,674,383,654,586,486,382,379,965,649,
146,725,650,620,260,965,777,918,237,794,518,131,768,603,889,136,769,997,963,
967,595,633,658,293,780,107,758,436,923,894,036,640,947,929,177,700,322,183,
543,823,762,181,197,768,920,780,320,524,106,689,213,441,375,765,608,816,017,
973,797,592,384,677,822,487,940,547,276,147,695,002,606,928,157,747,989,035,
530,097,791,466,266,498,239,821,069,280,722,261,630,967,850,432,619,163,252,
940,202,283,693,567,834,512,225,414,035,553,980,942,555,323,849,820,954,907,
938,598,299,436,222,421,613,926,585,126,205,407,727,547,601,630,401,568,182,
508,506,458,090,209,483,042,767,182,034,308,166,929,487,548,495,997,173,579,
497,885,541,412,265,727,706,714,947,835,272,943,862,211,961,647,506,900,124,
249,501,083,947,344,814,310,335,678,953,051,359,745,171,993,863,626,064,873,
042,339,530,325,862,436,448,940,340,688,981,649,375,201,477,506,147,799,524,
188,380,154,156,886,676,185,065,911,188,311,745,224,007,737,868,447,311,661,
076,414,065,690,367,563,082,942,821,861,232,472,154,640,140,213,433,843,338,
020,543,156,602,850,029,358,277,636,022,507,611,145,688,340,167,768,828,005,
952,444,836,006,502,965,926,861,302,892,034,320,410,624,592,876,440,468,162,
264,764,477,071,853,001,107,013,120,611,460,007,121,573,732,680,577,946,106,
524,023,792,590,733,802,006,578,879,455,395,974,810,102,307,812,365,871,025,
569,060,611,445,665,847,784,295,981,717,393,152,302,447,102,242,871,315,117,
006,613,669,281,459,155,833,135,678,295,447,025,559,441,475,035,212,438,213,
845,051,969,255,531,962,589,635,828,060,541,758,285,492,501,518,258,440,130,
349,734,600,059,039,615,924,587,159,134,365,989,676,154,548,284,692,490,351,
255,065,047,096,776,052,006,393,440,888,649,885,045,865,635,066,488,305,363,
024,591,374,286,859,233,634,353,167,482,366,428,871,965,098,014,846,041,604,
032,812,367,548,374,955,311,077,548,478,865,059,285,447,565,638,989,950,019,
046,049,468,847,303,829,048,931,713,619,096,887,848,148,041,003,259,788,941,
961,579,761,420,880,041,695,761,867,752,470,146,547,882,654,908,292,604,680,
646,086,047,203,055,753,168,893,883,050,404,690,304,876,465,039,937,775,953,
619,300,888,728,071,521,925,387,143,448,600,117,670,601,632,664,317,721,095,
790,860,399,302,204,310,742,299,330,522,637,810,840,846,687,461,445,953,771,
691,939,643,982,927,000,318,902,878,236,997,128,332,204,916,781,925,026,704,
483,268,805,507,069,850,870,506,071,944,347,271,776,838,784,639,104,709,617,
235,996,916,765,672,880,030,952,952,200,222,789,243,741,519,294,303,648,978,
057,832,742,295,927,576,177,118,306,086,050,902,958,231,859,866,094,950,789,
484,896,158,218,399,046,471,079,977,899,860,768,158,407,958,355,801,812,705,
643,808,622,659,851,590,433,182,802,012,127,616,932,107,674,752,527,737,067,
893,994,913,065,668,223,816,344,357,037,559,049,875,449,649,866,310,106,520,
928,922,402,589,887,389,102,920,979,741,138,748,015,360,729,328,468,366,678,
498,761,593,397,868,508,861,364,178,434,369,661,620,788,482,627,317,943,218,
932,169,832,400,760,184,908,885,938,193,891,923,944,685,636,018,738,742,666,
745,693,897,084,238,855,682,683,144,782,493,750,631,543,219,830,762,072,906,
698,382,278,273,616,206,572,282,018,966,408,222,557,775,722,077,781,509,900,
552,279,078,885,609,972,350,477,358,178,674,582,242,140,774,224,737,051,950,
305,331,250,952,620,164,430,956,967,227,847,505,910,375,739,218,144,054,819,
147,137,702,197,526,329,836,833,419,012,852,677,868,954,836,433,645,440,822,
676,170,924,269,859,461,375,332,449,874,717,294,511,606,254,182,939,986,162,
467,615,870,618,052,674,044,038,769,463,743,227,129,951,442,455,217,234,469,
705,289,704,591,606,453,685,160,655,692,163,314,230,743,120,665,839,130,570,
311,126,086,922,026,166,206,342,720,693,824,809,384,054,950,904,479,402,757,
955,046,842,422,956,010,021,008,058,005,412,860,242,538,389,007,839,364,271,
425,923,173,987,368,103,865,053,579,085,562,580,234,660,755,070,174,928,265,
044,739,575,576,993,286,316,991,248,826,426,663,055,276,965,057,460,327,641,
292,544,827,978,406,938,208,236,122,720,459,731,193,918,434,860,329,479,876,
731,084,266,363,025,496,686,807,207,366,929,968,007,992,989,995,503,212,895,
020,913,086,428,032,416,662,004,477,610,953,624,575,246,781,265,455,613,532,
944,478,316,498,823,161,623,910,409,659,214,324,508,481,967,036,884,586,221,
882,402,235,615,805,115,076,048,663,591,217,080,659,200,697,619,689,382,446,
821,312,744,714,520,577,948,357,686,900,659,842,968,807,535,029,858,763,754,
925,311,616,120,642,711,005,345,828,414,353,904,402,052,063,171,811,310,180,
696,607,505,267,694,144,312,903,651,370,453,552,493,574,228,012,578,788,310,
603,777,736,881,811,617,167,043,409,496,892,671,408,072,498,927,752,838,412,
498,212,266,713,848,659,512,127,757,263,900,809,988,521,240,621,510,501,487,
402,685,512,690,845,662,263,976,204,108,521,925,196,060,198,814,853,759,906,
382,253,088,004,041,087,265,068,348,002,200,507,011,731,155,049,233,042,958,
183,080,845,317,960,035,494,483,630,056,347,713,974,828,365,518,670,009,823,
444,953,915,556,440,126,513,186,053,915,273,539,140,770,735,602,125,669,559,
417,852,371,455,150,785,636,540,781,591,463,731,242,354,412,194,724,852,387,
556,765,481,262,645,150,262,271,875,927,298,600,410,739,351,015,764,328,601,
741,860,796,225,164,376,457,848,600,675,065,848,242,666,627,446,563,783,493,
044,436,551,914,968,865,803,249,515,772,344,895,056,386,231,774,796,036,288,
532,612,004,164,577,215,602,410,931,756,969,390,462,085,833,816,686,393,966,
160,193,913,442,197,633,168,939,268,396,666,956,665,083,647,123,544,999,008,
369,272,330,284,917,091,089,590,133,411,967,191,260,368,090,995,417,683,180,
367,261,255,003,743,393,544,992,746,688,871,089,432,905,025,636,549,372,713,
662,076,302,285,872,853,295,922,469,648,046,468,597,673,706,967,803,611,473,
114,501,499,174,456,167,304,260,096,099,002,814,047,644,348,104,448,675,128,
486,716,318,756,213,689,673,518,009,953,885,636,859,529,370,320,737,733,692,
397,729,422,859,856,942,372,885,430,393,775,242,270,986,487,212,842,599,941,
488,259,044,224,439,119,112,610,603,170,204,287,289,115,410,482,185,108,609,
137,921,136,957,230,574,711,873,693,584,111,273,983,145,049,168,423,377,326,
236,477,311,010,429,422,847,846,341,012,875,164,345,937,637,210,973,900,851,
215,322,674,275,374,877,624,419,903,522,128,561,378,503,390,367,201,155,925,
329,914,502,355,471,257,398,957,310,251,278,436,839,050,976,453,409,374,796,
630,987,794,395,018,773,602,067,351,286,220,864,774,826,722,185,699,690,653,
365,189,415,950,997,748,499,618,071,032,999,583,356,313,279,877,890,249,422,
106,866,207,777,223,831,964,277,827,555,765,769,560,907,725,018,808,102,091,
454,226,614,755,891,577,144,352,177,372,297,084,127,350,531,319,965,712,573,
748,354,454,445,572,440,890,329,668,827,505,490,434,843,562,252,088,699,482,
395,717,025,967,504,572,800,715,238,326,990,768,092,272,005,481,677,802,883,
362,872,988,390,807,882,837,180,915,007,053,988,227,145,171,177,129,352,742,
817,163,359,786,720,843,332,579,174,303,581,356,600,866,117,578,647,640,241,
430,776,203,601,934,130,468,397,916,997,333,884,268,603,241,102,541,314,694,
231,983,034,790,890,767,593,905,405,326,437,218,024,283,315,670,897,034,446,
352,749,934,394,904,180,325,134,329,607,071,958,412,557,387,171,617,882,739,
566,280,256,388,512,931,095,810,351,132,927,378,342,325,679,635,354,945,588,
341,998,842,762,782,782,058,951,409,661,817,383,789,110,498,382,032,880,342,
457,217,256,714,148,362,230,573,606,347,315,897,760,397,372,147,532,503,079,
962,270,424,820,274,434,931,689,294,915,265,115,427,094,760,808,533,072,801,
525,958,114,115,975,571,440,264,667,304,203,258,317,545,332,441,218,501,275,
238,930,127,450,332,185,160,765,464,079,187,426,298,904,305,662,666,447,752,
120,059,758,376,947,480,512,394,594,335,056,927,307,479,652,772,378,792,794,
674,269,174,885,493,476,021,636,152,879,962,533,541,850,699,847,814,107,209,
949,821,483,667,362,617,249,089,019,314,059,147,591,846,866,309,190,496,439,
253,436,876,628,397,312,419,654,531,386,482,177,978,436,570,425,185,619,363,
795,231,325,636,261,176,638,973,818,349,198,830,754,989,847,765,741,750,783,
644,912,512,722,538,687,962,272,083,476,898,674,261,214,758,232,665,276,607,
469,716,517,565,820,529,543,086,285,033,845,762,088,065,653,602,553,867,101,
306,332,248,147,212,939,236,197,347,801,999,349,510,048,113,649,413,572,968,
038,866,933,679,605,583,519,957,230,085,731,266,973,244,200,274,646,303,931,
268,677,344,585,593,328,256,319,188,893,689,829,414,050,690,374,900,915,624,
796,884,046,189,452,757,216,338,773,837,239,429,918,223,763,239,935,762,959,
572,787,861,788,539,917,844,917,788,630,428,841,560,841,772,534,807,034,152,
234,994,062,920,358,794,093,439,277,181,170,585,365,219,663,509,614,966,191,
695,793,426,759,874,980,883,994,807,639,282,236,498,188,818,551,569,312,744,
109,014,379,036,857,519,600,331,851,767,476,054,976,276,407,624,110,843,566,
310,386,466,605,199,414,026,455,333,966,665,593,286,488,104,305,342,898,029,
457,995,974,222,000,288,057,931,230,781,825,305,784,583,475,237,066,428,575,
759,222,322,287,993,308,554,303,409,200,083,617,794,425,211,722,465,454,575,
257,567,555,913,271,843,648,602,220,172,508,050,942,633,083,476,552,477,119,
919,609,115,897,109,828,359,450,272,248,417,915,401,709,899,236,150,599,737,
073,274,486,398,176,881,591,116,839,248,156,426,806,765,562,513,659,484,762,
034,258,505,989,469,798,544,441,146,139,329,086,881,828,155,988,161,991,685,
834,436,280,359,387,083,405,829,302,171,717,442,323,303,563,688,029,861,324,
389,787,412,557,306,430,100,131,722,039,541,995,600,893,113,477,088,191,204,
448,237,104,332,832,338,910,403,489,272,388,624,078,718,133,911,729,462,348,
656,213,406,893,458,118,448,346,726,592,243,369,279,370,646,834,908,702,882,
973,320,774,597,845,482,855,104,950,507,308,389,654,010,396,801,866,836,946,
869,869,052,876,731,086,824,739,725,133,928,601,962,808,549,977,942,610,603,
478,803,506,928,346,169,626,113,304,036,002,313,745,727,749,627,667,248,142,
029,713,199,595,323,667,289,884,087,694,138,575,930,059,871,024,510,168,177,
648,524,709,320,487,793,391,518,025,695,497,764,548,161,090,961,845,753,597,
374,878,456,709,215,904,983,187,326,406,783,455,108,290,706,985,451,739,206,
971,732,282,414,595,798,885,059,340,609,691,819,648,199,601,667,213,650,951,
932,809,369,987,442,642,943,200,749,521,108,183,267,546,990,007,644,349,892,
177,632,040,796,129,833,186,367,345,542,279,609,424,220,961,002,139,519,634,
508,610,483,823,345,740,746,755,488,008,949,598,715,602,016,755,457,657,050,
282,230,186,445,460,582,686,792,373,567,947,375,292,088,720,432,732,222,412,
288,842,263,199,970,037,818,573,980,836,231,132,137,869,211,295,647,672,244,
613,529,401,404,337,262,324,065,196,966,489,960,822,055,852,569,647,110,234,
571,031,250,680,642,916,686,586,598,361,228,541,111,814,366,053,681,297,338,
460,235,385,606,459,264,139,915,027,305,410,157,482,873,976,524,026,498,873,
630,035,523,472,355,548,328,605,999,777,254,952,194,713,152,599,290,718,017,
078,530,369,833,916,064,085,781,467,096,405,853,724,655,643,672,002,377,068,
259,437,571,999,897,982,011,436,460,693,914,721,753,180,138,772,795,758,019,
835,667,052,416,530,999,038,472,894,907,488,533,510,518,006,538,624,583,561,
254,098,854,422,364,737,786,707,772,905,796,940,534,837,142,435,980,103,696,
691,564,903,513,823,838,109,134,778,350,014,228,524,156,563,079,578,198,089,
027,831,147,277,248,182,348,096,358,900,639,706,416,209,748,694,122,130,638,
797,737,797,409,355,667,093,642,278,339,319,991,251,010,332,964,523,536,155,
149,862,361,830,310,836,315,668,322,122,003,265,863,978,158,396,162,154,543,
154,356,783,031,024,520,109,617,580,257,261,369,160,256,568,302,486,051,951,
659,803,632,453,192,707,274,068,180,736,643,497,324,782,884,757,656,910,010,
994,225,885,940,341,617,877,538,136,375,719,779,575,851,838,813,305,835,662,
043,408,408,829,689,570,599,192,606,660,204,160,544,911,883,964,150,360,720,
275,008,257,869,357,955,445,205,065,630,669,736,676,380,416,814,349,408,239,
708,694,743,535,994,666,380,875,452,932,682,657,019,894,667,646,704,197,670,
576,691,998,045,147,271,174,940,137,640,464,132,439,674,680,061,511,223,741,
210,530,991,930,810,654,845,045,045,135,364,117,656,363,420,753,245,003,857,
289,494,699,837,433,773,921,836,104,801,436,326,658,155,955,829,299,300,832,
698,003,347,018,870,166,664,497,630,093,451,668,771,720,321,144,665,044,913,
808,692,788,376,847,208,089,310,966,024,080,505,467,405,322,780,147,549,674,
406,532,104,658,442,597,590,331,001,453,552,725,325,108,083,727,614,296,313,
272,247,748,286,220,197,266,882,123,386,360,865,366,695,150,818,434,998,720,
249,420,748,483,608,889,726,974,356,792,581,189,767,918,284,412,841,461,725,
565,131,802,515,173,847,731,646,381,392,543,401,789,766,667,043,877,562,401,
219,984,875,080,842,520,290,817,732,932,889,471,187,354,853,880,782,600,419,
040,288,031,810,905,242,536,739,806,669,878,145,761,080,342,568,882,928,831,
100,017,789,958,994,236,237,527,311,243,157,005,715,757,194,818,710,499,505,
863,045,208,074,286,431,522,727,749,380,005,083,123,152,119,251,039,519,283,
409,646,500,435,904,872,531,743,771,540,488,958,020,350,185,214,403,051,348,
467,216,849,190,270,670,188,202,904,887,830,643,870,737,927,573,069,993,094,
349,280,597,259,734,479,123,538,514,402,879,059,038,109,820,241,386,957,228,
774,992,605,841,052,353,077,590,993,504,090,158,187,792,105,139,240,795,090,
586,932,297,919,504,865,700,821,298,886,203,468,947,318,908,830,032,301,873,
961,191,001,113,722,338,348,985,568,196,977,212,523,009,199,163,833,016,032,
924,422,581,885,802,238,774,727,461,004,694,635,702,871,910,145,644,077,131,
939,358,619,869,659,086,781,530,838,964,418,939,366,464,015,180,671,826,550,
709,487,633,816,831,027,659,999,710,642,815,667,670,655,055,451,760,264,733,
731,841,819,487,020,113,515,287,247,698,834,016,174,210,733,258,403,147,739,
517,347,661,622,584,850,780,042,638,330,303,158,626,972,707,847,033,818,216,
558,132,539,598,585,488,028,252,161,124,299,285,479,475,050,486,700,523,374,
200,380,337,998,284,819,084,752,099,375,009,247,165,491,046,709,070,318,729,
045,629,782,335,149,151,823,174,445,116,247,769,735,478,035,089,402,216,258,
091,471,384,481,674,637,198,912,540,519,856,506,733,442,022,334,190,454,443,
534,185,332,059,214,279,439,210,732,496,523,113,709,263,854,006,480,038,043,
042,653,978,343,641,198,814,132,588,308,329,855,602,832,637,600,909,134,178,
945,746,307,505,388,173,036,406,588,251,000,692,463,058,979,760,479,183,870,
154,513,341,580,107,068,312,990,018,756,373,191,890,142,793,464,075,234,973,
064,902,236,525,374,850,584,973,430,186,080,836,773,682,446,074,410,561,688,
453,189,407,000,198,026,863,609,501,101,425,413,921,359,956,683,585,750,779,
005,296,474,335,013,748,152,151,542,730,301,158,368,944,330,826,355,035,554,
617,495,288,692,385,478,062,406,046,459,177,317,926,646,750,755,791,149,234,
285,414,319,897,682,119,189,641,622,424,584,163,073,447,387,903,407,381,869,
321,688,806,449,490,572,526,308,206,519,506,868,560,803,409,116,024,528,563,
912,654,218,431,738,390,011,910,114,553,465,536,912,554,112,750,866,728,657,
539,034,787,448,654,911,597,134,808,894,112,101,292,751,269,921,660,612,187,
613,021,275,382,385,546,822,939,539,616,617,814,590,349,230,590,305,484,666,
089,078,167,585,517,709,070,203,195,683,235,189,160,659,847,202,149,956,991,
254,619,203,532,397,997,292,979,433,352,999,226,461,974,449,295,645,747,359,
319,419,793,600,825,825,589,759,023,516,156,107,606,805,446,916,097,982,971,
902,072,641,130,832,611,440,400,798,730,347,611,585,123,652,530,003,694,219,
895,766,507,069,152,643,573,904,239,669,235,122,699,295,150,314,758,274,981,
788,217,858,193,502,765,398,946,714,206,771,980,767,846,355,728,730,552,418,
717,453,472,586,853,074,365,213,349,669,174,219,320,998,398,434,697,716,559,
355,853,309,148,695,149,413,429,369,707,391,793,823,692,671,383,926,712,361,
127,281,467,405,293,183,747,862,615,681,893,740,138,945,144,827,275,562,020,
710,677,084,240,244,324,528,213,036,772,835,687,773,021,832,500,988,789,880,
291,571,066,772,191,754,938,218,115,631,742,799,780,884,696,558,905,417,868,
998,333,532,229,609,763,574,630,302,004,323,406,499,521,020,971,170,608,472,
480,143,529,176,590,204,634,926,678,181,414,607,679,306,958,183,664,931,341,
433,470,887,773,496,295,730,400,062,940,646,444,900,609,797,449,155,407,602,
318,418,857,955,081,567,087,086,239,099,738,324,043,839,764,868,121,656,296,
132,965,619,986,383,194,931,227,398,179,629,894,788,615,716,752,069,435,949,
423,140,752,888,234,685,925,973,697,147,910,199,873,281,682,073,971,614,556,
800,117,671,135,276,292,248,005,449,977,373,088,790,384,401,011,469,913,256,
287,383,452,492,981,334,036,284,132,341,350,064,699,365,026,040,346,530,020,
159,494,573,970,385,217,955,945,755,161,357,777,402,459,723,028,962,706,510,
322,287,276,140,250,896,684,064,193,638,004,380,566,777,786,005,900,338,802,
580,094,723,595,976,673,714,989,947,539,448,444,174,286,642,600,837,554,735,
238,038,348,740,772,264,016,012,638,318,931,236,108,348,861,229,540,910,742,
747,909,362,139,731,590,182,280,535,058,673,307,917,796,312,602,936,845,429,
629,770,829,136,023,849,358,326,461,259,219,697,686,051,495,479,276,545,051,
498,664,705,163,472,602,792,757,104,292,741,433,585,273,238,862,534,395,748,
615,154,869,952,154,355,258,158,080,719,005,301,334,644,577,327,251,537,541,
714,651,301,107,771,747,303,454,426,881,206,852,629,715,227,870,320,087,813,
985,673,690,605,712,567,551,028,975,007,375,452,368,927,437,857,546,937,976,
875,302,813,277,112,264,128,330,276,071,653,503,466,718,149,392,448,022,994,
794,456,238,496,449,163,050,155,257,838,956,537,591,514,664,212,679,647,833,
433,439,841,176,808,256,044,427,368,211,761,255,753,636,954,228,410,282,740,
607,096,553,581,710,397,167,038,930,554,234,127,157,558,511,349,740,154,065,
054,757,315,830,828,480,369,338,188,061,849,580,125,226,652,087,681,428,132,
025,939,598,751,453,665,387,747,860,637,575,614,079,047,991,591,516,471,056,
809,133,926,090,485,652,944,686,927,123,566,930,260,803,752,425,988,029,033,
902,451,617,963,554,933,029,657,557,438,003,809,836,145,951,145,857,320,645,
649,350,480,889,251,218,575,257,541,921,745,995,253,857,866,853,629,119,304,
724,330,935,921,393,749,989,808,845,926,542,897,036,685,979,997,607,288,350,
444,101,418,607,411,792,782,046,361,004,979,616,020,490,351,026,384,094,062,
318,903,800,870,155,029,277,820,132,732,758,108,056,546,666,238,041,926,233,
360,022,849,965,506,019,469,130,458,358,216,264,310,856,696,430,153,095,157,
018,230,875,723,828,638,355,832,229,166,383,503,606,858,723,090,229,911,067,
045,750,831,074,115,883,479,027,271,186,273,378,225,197,650,278,880,300,450,
799,945,981,065,733,794,866,018,331,522,062,745,840,672,846,526,093,862,418,
956,868,196,394,178,120,851,184,101,898,221,331,158,905,462,974,980,171,271,
980,771,972,663,746,558,273,072,761,586,209,354,533,021,978,303,828,053,223,
985,518,625,943,993,046,286,575,616,538,048,493,699,525,930,902,667,715,152,
664,340,862,398,894,126,927,408,931,357,305,080,171,053,904,768,263,203,347,
503,109,258,943,074,097,143,787,104,601,500,679,288,414,915,991,653,733,893,
465,554,582,930,442,107,122,812,176,881,516,678,887,652,059,692,141,661,674,
288,996,568,096,316,834,722,454,650,222,084,150,967,440,540,718,402,378,200,
121,458,478,594,824,292,774,037,338,838,254,105,882,562,170,623,108,784,212,
300,096,649,584,909,416,955,984,668,791,877,890,636,969,140,133,849,565,524,
191,115,695,583,266,737,020,693,728,096,391,512,481,060,302,310,135,953,247,
374,122,171,038,230,193,310,677,980,258,155,450,634,881,229,851,335,075,555,
097,821,621,284,318,160,445,105,277,704,940,865,342,559,731,578,111,764,636,
590,268,394,761,603,445,872,254,533,752,554,941,429,668,080,065,486,455,870,
070,826,230,971,539,524,060,185,192,335,968,111,789,035,725,201,320,827,196,
446,782,240,673,305,980,328,354,978,696,857,206,172,515,891,563,813,054,096,
580,777,475,213,116,551,544,556,315,845,642,935,474,968,620,871,112,169,699,
502,649,951,870,397,596,314,183,926,864,760,781,175,443,356,918,310,081,315,
542,712,747,085,018,084,306,104,618,415,290,485,523,493,280,902,749,220,744,
638,588,590,111,438,342,095,775,119,551,417,250,998,875,867,115,800,816,782,
110,801,845,151,745,144,682,840,260,315,085,492,108,535,788,458,078,952,787,
016,802,226,119,495,964,276,687,195,984,344,630,265,345,704,348,849,644,600,
980,745,505,445,822,444,855,927,566,969,241,858,976,091,292,453,052,372,605,
750,536,552,627,404,830,209,461,947,287,496,118,078,196,153,715,197,339,402,
175,213,576,092,425,311,915,685,188,345,983,492,903,598,525,438,406,882,340,
948,138,408,267,780,673,211,861,788,302,912,793,102,753,945,121,648,791,890,
320,091,165,270,981,505,403,345,460,209,154,291,518,940,332,219,500,478,526,
099,899,726,920,673,568,855,964,707,823,331,898,503,453,289,081,643,815,888,
248,978,318,665,305,724,069,887,784,569,736,065,163,011,703,650,611,008,204,
200,733,901,232,906,627,946,809,270,532,628,704,620,409,087,962,553,841,808,
819,893,796,463,181,676,199,263,810,956,012,991,677,088,945,276,462,485,300,
934,953,527,780,362,853,307,092,647,824,330,092,270,241,194,586,033,523,741,
156,579,191,012,063,999,552,988,805,084,553,427,029,416,958,632,067,658,799,
870,459,486,111,324,128,947,205,213,594,666,413,453,670,682,943,889,348,633,
469,049,820,922,467,566,832,197,142,111,874,749,056,916,325,585,832,144,631,
666,602,509,974,473,156,008,742,760,420,174,011,435,833,172,869,001,859,495,
472,968,679,756,043,665,292,501,730,814,099,815,207,695,342,764,428,659,666,
446,457,989,048,165,237,576,671,165,615,874,366,528,950,389,317,470,023,979,
424,730,274,855,284,568,842,351,538,402,052,800,541,109,353,017,581,138,201,
742,649,599,783,124,454,228,757,982,619,333,130,670,943,357,424,980,953,791,
997,102,074,088,236,909,938,150,321,923,531,083,122,128,315,099,927,778,143,
758,715,047,103,321,018,166,897,372,111,964,647,534,725,875,555,519,417,027,
693,785,899,516,146,325,039,758,124,689,800,327,090,608,881,263,515,292,659,
203,828,850,367,209,909,608,170,224,495,431,860,690,457,402,124,692,788,061,
562,130,691,071,995,636,599,918,436,451,433,806,382,872,010,966,181,231,270,
353,629,287,375,922,060,881,851,610,359,888,579,580,158,115,323,515,090,244,
292,867,857,998,188,483,756,669,731,605,716,239,250,605,250,659,145,494,148,
402,306,544,035,294,206,256,553,820,584,039,566,450,549,992,258,557,084,244,
506,041,806,623,163,573,985,783,850,501,276,512,922,894,871,548,808,833,141,
443,520,263,981,789,309,069,922,196,868,357,020,378,248,534,797,266,151,209,
878,548,539,825,036,002,009,813,453,858,864,657,715,521,783,290,276,528,823,
333,897,430,683,763,934,895,056,144,691,821,332,226,202,465,099,494,946,336,
545,356,215,866,746,428,145,798,820,220,099,196,406,682,588,373,560,195,723,
857,466,604,739,919,932,572,790,003,342,359,502,973,640,109,894,535,747,893,
780,284,461,729,646,307,739,867,400,716,578,990,683,529,966,030,838,542,622,
094,007,048,847,679,092,596,485,104,525,147,760,391,200,946,255,042,948,918,
498,650,551,122,180,814,313,175,221,405,206,331,397,952,901,038,472,885,093,
554,049,117,482,127,956,741,306,957,691,051,107,677,516,268,368,287,625,674,
325,004,550,784,959,144,470,097,572,368,646,516,559,235,199,456,829,905,718,
550,108,822,062,829,092,118,373,075,819,794,437,941,231,948,234,706,622,636,
502,132,670,483,357,485,218,368,423,695,103,364,618,437,550,639,860,773,601,
548,170,638,581,690,048,348,858,047,279,381,626,099,862,263,404,327,105,289,
250,097,145,867,501,895,052,994,389,854,982,893,690,005,265,297,777,388,036,
528,478,382,709,104,146,129,412,869,565,060,360,585,823,716,350,409,841,275,
593,482,888,968,026,222,586,249,872,497,786,479,661,199,898,230,747,778,129,
890,967,228,639,925,000,347,470,651,475,625,502,668,003,874,825,103,216,868,
510,051,351,077,244,169,052,171,883,562,727,494,945,083,715,615,094,724,773,
092,057,039,375,032,003,031,617,694,580,590,678,166,651,956,123,440,398,105,
933,529,215,715,815,047,865,610,572,769,926,495,519,194,951,994,244,528,287,
376,045,247,214,467,856,937,495,910,146,084,737,346,637,927,795,044,800,287,
399,552,727,944,527,930,765,359,985,906,897,147,588,351,541,666,075,429,195,
436,377,667,456,290,645,603,479,357,645,880,907,965,878,110,783,490,119,418,
450,720,558,481,519,118,122,991,871,287,188,526,867,248,981,506,883,294,271,
743,169,187,126,358,476,250,132,141,218,799,563,616,762,828,561,441,105,506,
397,424,226,138,561,335,660,287,714,583,876,181,416,679,405,454,109,456,469,
945,199,609,763,527,053,109,422,469,562,422,263,511,805,096,290,146,898,999,
142,880,122,196,917,981,778,001,744,205,902,051,005,223,277,667,897,335,103,
766,993,535,237,133,996,173,945,645,247,537,413,835,247,736,176,926,971,446,
916,087,665,222,357,804,000,178,966,046,779,280,904,287,419,620,649,311,704,
211,068,131,608,827,920,794,672,802,935,363,299,752,946,178,957,586,873,472,
716,165,988,827,649,187,971,203,195,620,972,809,658,034,794,318,706,306,751,
590,282,087,605,330,464,094,069,598,448,261,467,286,759,222,180,776,650,457,
645,208,730,789,507,338,476,738,431,729,382,921,782,256,187,583,072,430,852,
056,671,310,115,222,192,709,171,878,954,184,156,149,817,841,010,634,578,807,
470,774,728,292,480,844,258,862,783,154,373,273,386,599,875,106,193,511,146,
952,412,488,919,118,963,684,243,879,056,597,626,867,610,582,701,184,209,745,
032,868,227,096,890,184,894,759,284,262,781,391,071,069,852,938,731,368,937,
010,165,782,317,015,682,703,504,952,580,744,175,815,738,732,264,724,703,210,
241,457,048,733,161,615,974,041,302,058,142,410,498,804,651,162,803,346,548,
916,623,116,397,778,921,622,637,468,163,424,799,335,509,294,465,815,983,575,
584,346,476,646,078,378,321,907,317,650,649,346,401,211,095,371,049,704,477,
755,947,554,452,157,277,090,867,556,271,287,482,008,023,953,005,213,543,088,
144,846,518,933,980,456,474,752,366,662,681,716,532,131,349,847,805,895,585,
962,025,611,355,917,332,542,380,361,279,375,197,574,431,051,506,957,929,439,
960,795,565,221,275,756,939,404,647,620,498,179,341,113,283,976,831,907,191,
196,337,874,488,796,191,541,542,940,794,877,988,779,844,437,442,127,575,711,
716,538,152,900,561,828,086,199,842,402,073,032,651,100,374,998,465,692,390,
317,524,091,552,918,487,010,381,229,258,413,294,482,233,012,110,011,337,526,
566,074,514,159,409,286,190,734,666,488,015,783,966,536,407,718,985,313,938,
497,434,672,910,568,245,427,537,195,293,332,388,238,974,112,477,683,013,328,
461,105,154,820,930,725,158,149,312,412,071,374,150,231,813,184,733,649,404,
387,814,318,837,015,985,181,555,161,215,302,676,383,849,145,985,872,069,786,
197,309,872,200,343,832,819,754,301,880,893,949,076,983,398,438,212,254,819,
374,355,191,923,754,543,409,869,183,330,555,831,520,529,563,334,002,094,705,
272,760,996,643,326,423,067,628,378,432,924,716,989,313,664,875,343,276,748,
057,477,990,525,311,672,981,616,148,790,653,786,738,115,425,311,436,733,118,
702,268,144,302,566,905,210,958,660,421,774,113,276,294,756,403,574,058,519,
412,701,460,653,892,781,858,476,237,383,313,089,247,900,405,655,640,791,294,
541,384,332,309,972,141,220,129,795,040,241,370,964,922,119,123,302,947,955,
656,973,156,269,315,038,566,146,370,075,599,663,420,706,090,501,125,130,603,
763,769,394,334,191,131,480,350,548,408,980,348,645,749,546,752,861,739,484,
539,580,757,347,920,956,405,648,186,716,673,657,424,726,831,050,168,943,224,
193,351,837,154,938,304,729,077,955,722,802,999,823,609,177,491,977,073,051,
769,161,286,339,465,840,574,081,363,359,659,636,585,919,193,767,915,949,088,
003,267,547,064,636,860,000,133,113,836,317,644,859,019,197,525,657,142,655,
012,305,700,538,117,032,335,077,280,061,400,613,823,020,843,227,820,079,388,
665,211,967,058,567,496,317,320,253,086,572,591,856,191,145,490,885,950,546,
156,141,456,534,856,641,062,228,652,687,149,938,531,478,919,897,415,975,855,
280,930,195,356,205,998,541,554,525,101,846,653,560,799,223,804,387,480,685,
449,048,887,329,296,351,833,945,499,308,769,600,230,453,389,428,387,526,257,
931,246,661,449,756,710,034,163,255,312,361,120,765,575,255,725,542,653,100,
170,303,381,247,669,451,033,347,807,698,252,622,177,563,912,506,227,537,440,
271,360,485,566,316,462,289,112,112,798,104,060,266,398,859,317,005,772,275,
801,884,934,898,447,612,122,012,759,963,457,516,605,772,275,951,657,492,770,
283,280,987,739,364,299,116,592,013,163,139,756,361,945,901,540,230,073,995,
115,514,028,151,237,095,958,524,037,741,281,973,623,034,132,861,463,168,369,
903,378,933,002,021,896,394,430,192,518,705,650,978,653,092,557,343,082,620,
210,508,368,929,114,386,451,677,053,026,192,388,322,559,681,228,208,103,419,
143,119,937,614,026,726,730,809,750,498,296,458,227,301,706,246,401,688,071,
038,222,657,775,612,460,490,567,581,342,459,422,845,903,922,176,062,110,649,
895,160,811,355,711,524,639,676,360,613,109,518,643,540,138,016,737,455,328,
704,530,656,703,239,309,684,522,053,486,420,027,899,667,975,699,376,510,154,
564,162,397,502,643,508,430,416,821,235,828,745,993,235,562,883,208,899,545,
694,187,804,299,764,077,138,107,655,896,851,122,375,245,234,128,380,112,285,
986,837,096,159,525,622,685,123,393,281,933,510,613,011,533,698,561,879,971,
342,259,228,120,072,000,840,242,290,099,039,321,485,311,276,892,634,200,056,
788,270,924,446,195,691,347,014,169,084,367,612,266,652,321,417,476,866,830,
368,827,403,283,495,490,191,786,564,039,066,782,482,386,571,188,661,653,334,
074,478,703,723,282,047,338,782,957,276,094,317,354,217,568,141,613,324,271,
367,251,672,273,610,855,707,004,568,139,769,028,691,403,642,635,209,901,796,
804,458,646,418,428,695,405,350,471,966,659,531,133,731,635,511,664,840,897,
803,681,183,939,000,949,571,533,642,734,631,001,497,815,294,350,202,090,100,
890,228,531,576,482,225,824,667,081,137,867,642,255,337,212,561,263,128,529,
493,414,036,878,122,969,998,839,804,413,087,885,528,673,725,179,770,679,388,
422,491,455,148,378,729,886,120,831,652,169,912,081,547,354,805,073,013,858,
027,989,887,093,435,029,463,312,186,370,971,648,756,565,526,619,063,255,599,
769,355,300,669,346,919,769,529,043,580,732,488,362,972,542,562,004,431,883,
908,350,801,841,398,260,822,242,951,154,879,977,970,538,197,282,805,390,916,
325,975,642,324,407,092,875,384,759,137,733,759,348,288,210,576,824,965,762,
014,303,020,995,321,633,167,691,753,076,514,235,894,755,089,041,314,132,330,
321,567,676,290,368,072,008,449,334,175,583,742,627,997,786,702,580,745,613,
878,092,617,681,270,050,038,434,117,540,718,696,946,034,542,103,830,824,477,
781,482,026,758,685,167,106,343,287,279,463,890,583,657,937,577,955,612,771,
172,850,899,971,358,466,720,109,321,335,140,066,744,233,836,625,354,642,057,
519,540,040,608,413,313,290,601,266,568,108,841,979,100,472,062,455,955,596,
545,345,458,674,110,192,729,820,125,195,360,906,294,531,137,422,492,269,832,
332,754,390,752,181,390,714,355,676,975,895,568,982,511,141,581,699,680,326,
941,964,588,229,927,249,583,881,129,121,405,246,303,886,306,200,902,468,230,
188,161,528,992,387,378,899,666,008,181,635,661,784,835,701,888,168,559,880,
223,375,769,832,788,239,928,285,456,830,905,158,737,976,308,161,606,714,170,
598,745,208,425,738,667,299,974,191,990,602,827,152,690,699,265,842,713,206,
293,605,330,940,827,508,133,566,446,761,679,557,326,105,836,476,575,382,947,
093,132,753,798,070,864,189,816,304,182,917,078,223,795,444,851,134,227,805,
818,028,935,148,893,572,776,640,294,405,510,679,940,981,771,234,382,965,630,
058,360,195,369,779,641,992,931,071,686,159,501,957,577,673,520,036,779,226,
590,308,808,724,484,476,824,297,152,369,914,291,032,435,976,293,658,912,138,
342,634,492,234,195,399,569,167,009,409,805,117,044,864,021,567,991,320,760,
011,931,718,682,736,261,094,117,275,982,242,786,201,191,060,622,088,285,632,
870,337,468,976,290,097,409,906,571,725,432,541,942,169,945,661,773,942,224,
600,649,788,175,594,621,923,311,900,651,249,211,494,516,528,211,083,053,123,
562,806,919,134,739,162,222,903,485,137,048,160,286,740,998,001,501,069,084,
520,449,236,874,069,335,057,275,261,955,505,392,850,248,974,082,797,993,575,
905,645,579,972,488,331,543,700,334,278,819,096,160,617,223,590,537,883,293,
468,152,825,305,684,225,287,906,661,532,945,387,171,349,401,550,311,100,220,
233,006,962,532,002,340,594,748,346,945,667,531,275,000,430,333,347,953,803,
550,330,951,335,817,702,164,452,954,214,211,776,182,450,523,589,751,653,909,
919,932,578,325,210,068,069,483,271,696,929,448,788,148,708,493,377,153,026,
580,766,247,666,573,493,703,864,227,187,465,433,357,021,507,946,227,243,534,
502,797,613,056,104,864,479,922,297,730,745,494,978,312,694,774,869,495,188,
961,801,415,113,137,341,174,385,246,996,187,202,030,380,650,282,097,221,235,
549,153,810,007,528,597,056,313,074,656,639,884,712,092,283,493,050,451,323,
158,037,076,965,486,113,118,729,953,368,867,547,694,681,833,657,307,999,396,
058,499,101,094,131,023,320,801,807,481,651,825,476,724,983,523,716,579,389,
266,359,074,348,682,909,485,410,131,045,440,639,409,319,783,991,306,337,933,
247,639,836,053,308,904,275,372,626,729,925,924,027,839,050,345,392,836,803,
098,219,954,884,138,234,131,408,748,966,028,088,575,103,944,824,873,945,500,
680,597,864,325,585,800,758,799,126,915,343,930,435,611,652,458,371,253,472,
626,864,026,728,133,686,135,221,449,032,458,124,024,068,903,749,194,779,810,
799,748,706,379,654,894,114,147,329,207,004,155,712,730,551,819,800,400,313,
799,727,467,010,744,278,242,622,428,249,643,013,477,810,671,702,761,288,322,
353,921,102,793,799,985,179,734,870,638,235,038,413,999,845,955,192,747,582,
006,088,336,574,009,103,740,200,615,007,398,526,143,180,308,954,648,964,518,
620,240,352,005,740,500,415,306,941,669,062,616,802,241,278,584,118,391,922,
882,511,872,183,334,190,130,445,899,686,398,675,609,877,442,230,755,383,470,
970,965,604,100,723,695,187,379,870,832,652,007,612,647,452,934,770,136,789,
078,331,378,589,069,762,206,531,708,416,606,304,346,717,967,786,982,555,086,
258,026,532,126,356,707,405,535,891,346,951,493,923,598,394,563,444,346,381,
184,167,736,768,600,093,304,557,326,347,547,228,107,869,328,663,401,975,829,
362,349,323,554,615,556,081,581,684,823,566,628,093,284,594,295,680,444,159,
303,258,014,057,881,420,451,292,841,137,024,588,106,048,217,068,082,281,103,
002,178,591,801,031,980,435,023,963,373,212,222,095,762,293,844,656,386,424,
751,492,685,297,360,873,397,306,284,726,380,352,342,048,039,368,507,833,021,
123,837,527,159,647,436,842,016,976,554,134,466,287,508,719,603,247,185,697,
701,701,685,635,022,870,591,700,975,801,792,823,858,146,074,381,450,529,036,
809,673,899,514,424,640,563,089,272,569,653,190,100,770,946,378,909,693,310,
154,464,318,227,625,714,156,075,713,298,330,595,985,172,739,067,527,942,679,
641,366,174,248,150,918,015,782,375,518,942,003,281,772,628,152,060,270,305,
305,950,314,800,904,840,264,460,207,268,912,008,040,686,074,609,676,802,044,
060,889,510,901,868,658,397,439,220,685,691,215,569,481,609,109,900,188,301,
183,057,611,399,227,016,789,658,801,992,538,061,853,840,742,935,455,884,222,
108,095,661,270,732,913,358,202,284,397,548,236,638,506,792,897,643,219,670,
794,537,886,529,950,157,181,631,569,418,848,926,157,009,644,194,536,653,801,
910,084,425,775,914,428,612,774,061,292,661,690,828,584,569,956,092,333,963,
101,503,139,485,363,289,862,973,324,886,030,056,039,043,534,324,220,529,150,
306,275,028,081,557,100,310,484,087,123,162,103,547,275,746,253,846,662,314,
229,310,006,780,341,405,865,695,684,767,769,180,179,081,935,595,484,772,344,
936,801,934,192,153,500,832,414,028,256,450,838,226,014,241,951,302,994,375,
564,511,249,647,663,563,473,829,802,146,991,188,741,013,142,934,412,774,559,
691,379,109,231,829,150,392,815,778,652,323,513,582,085,436,222,102,894,468,
610,341,168,832,575,632,204,966,004,328,653,366,526,451,786,428,710,997,159,
630,813,601,725,285,711,972,300,818,072,151,602,870,415,728,598,650,067,679,
390,570,817,599,467,939,360,430,699,378,876,649,687,461,309,112,744,906,578,
545,778,514,819,623,568,214,139,765,989,773,087,723,049,757,631,786,076,564,
239,899,295,234,492,121,801,169,782,161,971,236,781,505,077,915,294,657,037,
361,451,485,740,959,069,714,566,757,094,552,679,736,964,020,238,345,348,730,
490,888,176,856,527,608,862,102,991,873,004,318,488,584,277,835,450,858,532,
403,618,921,791,192,181,679,956,517,334,415,611,912,458,645,384,795,633,211,
752,797,038,619,117,498,380,241,410,675,599,791,527,216,094,781,103,718,573,
701,206,393,176,738,365,883,446,434,535,003,443,301,995,888,591,234,812,689,
761,594,521,710,173,340,436,872,617,567,743,603,018,033,077,873,697,319,553,
539,268,641,935,287,931,780,529,250,796,388,916,263,232,113,304,765,525,524,
491,889,485,423,057,115,259,533,091,051,058,520,893,075,614,155,055,979,608,
925,791,837,980,811,906,190,972,480,280,791,380,730,721,048,218,127,596,868,
166,523,776,632,121,121,914,514,833,145,039,232,217,837,205,030,078,581,917,
294,340,329,719,754,607,834,141,912,038,618,177,806,333,653,473,395,154,992,
459,950,854,015,524,274,965,629,546,895,531,329,131,075,105,906,333,075,409,
143,576,395,501,125,565,800,599,684,935,552,914,047,057,887,873,139,351,655,
156,392,172,604,224,020,687,883,855,095,034,996,584,518,836,096,028,882,056,
694,854,733,862,643,921,297,329,323,557,192,198,223,138,063,538,534,234,290,
444,489,539,737,424,744,256,240,810,816,792,848,612,333,688,010,413,591,137,
864,966,471,064,027,068,171,841,016,190,555,962,010,993,386,579,469,682,112,
040,432,155,542,576,644,622,815,161,712,269,036,303,611,843,337,526,625,916,
068,449,173,995,128,399,424,535,046,894,668,503,292,236,574,216,819,689,321,
695,838,415,546,348,707,429,484,335,063,566,953,310,800,244,906,498,165,609,
820,402,437,864,515,405,956,883,479,796,261,229,036,120,169,567,857,784,681,
015,599,157,483,240,573,586,881,672,384,083,500,665,730,213,078,973,791,041,
487,179,357,277,354,735,780,671,615,394,103,595,661,235,125,621,720,825,753,
484,789,092,307,308,617,078,119,536,994,116,674,154,843,009,448,896,331,471,
975,433,767,552,902,762,300,483,441,357,291,641,219,636,914,225,559,355,391,
513,937,205,094,248,476,636,746,954,093,118,442,993,364,751,366,474,046,327,
033,072,095,308,178,324,947,366,272,701,879,559,852,781,777,068,214,841,315,
674,983,587,941,163,299,536,105,532,699,859,854,024,152,703,882,020,794,726,
746,260,744,137,393,585,290,169,133,543,729,687,748,625,091,013,780,670,972,
619,370,059,631,814,606,504,789,458,530,547,390,865,491,861,561,040,652,545,
211,182,214,586,731,393,755,615,946,770,914,608,858,373,566,657,628,928,334,
567,340,249,634,224,982,877,373,976,192,116,203,080,469,310,978,761,254,369,
182,123,958,482,425,625,844,705,791,656,726,233,341,843,380,223,750,513,562,
698,302,896,601,881,006,278,227,128,633,740,232,388,033,833,474,833,757,086,
412,996,800,049,848,871,664,225,746,844,446,962,844,877,360,039,487,433,915,
248,098,195,995,642,429,930,024,903,728,134,425,698,481,344,539,802,583,712,
591,058,196,754,311,398,982,957,247,413,307,342,189,026,974,119,295,583,986,
168,140,214,528,651,880,832,456,063,148,219,732,974,172,296,714,521,257,389,
868,824,563,815,213,597,798,240,722,360,892,889,894,230,086,260,392,923,687,
481,258,955,573,041,918,082,655,567,504,865,994,385,898,288,811,668,047,354,
547,633,883,587,358,301,862,452,545,979,616,382,586,347,491,705,348,837,035,
382,020,720,222,973,039,280,344,756,152,624,049,466,735,864,372,704,175,849,
394,884,290,700,238,752,714,457,852,788,459,485,267,783,682,675,325,923,851,
306,173,158,248,671,009,826,109,608,087,554,418,831,505,423,054,223,298,821,
822,416,031,717,912,751,117,881,107,213,783,387,438,459,647,179,734,862,843,
370,505,009,798,830,303,218,070,411,260,598,721,604,709,843,158,751,842,720,
445,547,871,277,243,311,915,043,148,059,725,321,575,413,665,449,409,946,941,
105,336,689,697,883,419,940,281,847,621,634,215,241,232,320,017,328,784,594,
994,981,997,477,543,897,672,867,136,692,643,013,326,463,097,029,310,295,995,
403,463,762,375,613,045,639,300,996,580,688,970,865,588,031,026,028,999,024,
992,279,011,760,851,471,503,974,020,885,764,117,313,231,784,196,332,691,842,
621,074,280,903,117,142,991,015,080,519,862,213,792,533,848,092,207,533,871,
342,075,521,869,544,362,103,090,926,376,520,343,770,748,297,165,595,232,193,
461,349,370,886,163,744,558,851,896,282,107,831,988,864,854,180,247,497,886,
967,344,830,521,231,226,307,549,179,905,786,490,289,013,076,865,005,323,243,
364,548,540,335,576,175,141,766,039,005,337,755,045,199,796,123,635,421,813,
484,038,478,172,821,162,887,642,729,006,136,595,029,674,420,569,943,331,271,
783,381,838,018,724,673,034,712,692,648,110,343,316,456,818,547,762,410,114,
027,047,934,726,347,150,739,645,420,093,380,319,214,150,322,376,609,228,741,
068,396,398,925,528,428,034,972,580,423,626,409,371,798,723,624,705,498,332,
842,217,056,847,889,041,200,360,876,370,488,243,172,770,493,178,682,711,384,
279,914,819,035,100,973,948,811,727,580,688,381,787,890,462,953,158,412,172,
977,729,432,714,946,222,222,994,916,906,561,144,939,568,462,224,100,797,023,
660,903,933,978,682,424,664,098,791,948,526,432,435,949,705,268,574,835,906,
778,053,891,783,683,968,924,116,403,682,037,921,730,029,613,221,160,722,592,
831,368,856,447,704,770,613,994,253,458,742,547,715,086,076,494,045,948,863,
821,327,013,015,967,324,542,102,351,395,685,024,650,402,112,373,349,158,394,
390,838,277,413,846,693,985,660,194,483,255,452,492,320,218,147,185,661,849,
778,913,182,139,564,576,582,492,745,091,639,205,848,020,518,427,234,846,921,
617,270,694,936,187,655,086,880,876,890,562,718,285,875,040,204,573,164,275,
077,264,497,724,314,636,855,209,023,751,917,823,523,375,045,814,073,859,741,
964,354,115,343,483,983,575,990,964,510,082,428,270,054,763,821,329,411,599,
422,363,087,492,395,352,358,428,276,732,792,004,179,791,191,707,156,083,203,
382,675,099,996,647,328,192,824,428,158,060,553,834,734,312,671,541,959,353,
566,723,261,220,928,403,631,911,927,659,614,908,215,311,511,711,142,332,486,
032,041,795,316,954,873,761,179,734,076,550,164,836,537,290,165,709,857,704,
075,269,479,998,412,459,576,257,928,634,740,578,958,751,444,408,139,138,343,
524,683,580,098,069,281,062,592,749,426,371,917,025,928,534,624,642,199,342,
687,060,074,108,721,647,968,090,920,351,715,429,741,903,945,695,782,307,619,
463,039,078,926,650,411,038,647,934,501,087,188,765,449,357,559,346,031,153,
547,977,331,084,935,083,261,034,731,600,007,376,929,527,723,980,714,625,666,
483,144,377,391,824,015,064,168,137,038,007,427,231,391,380,087,818,106,270,
232,293,023,637,244,926,549,989,569,375,951,688,099,157,334,894,120,025,773,
454,841,520,460,040,040,642,247,633,354,331,355,951,401,402,665,674,784,865,
532,022,490,107,227,066,132,621,040,725,516,658,008,150,803,230,341,376,102,
774,167,456,791,709,394,777,094,508,889,603,968,233,368,040,220,346,034,321,
399,642,024,775,951,139,829,823,762,036,772,032,749,830,110,865,393,698,197,
978,184,397,709,336,561,676,063,157,425,955,637,562,827,670,137,578,611,172,
372,680,979,031,894,335,822,464,860,313,319,147,340,682,162,872,334,452,449,
603,192,564,135,892,227,901,220,672,506,465,584,003,750,594,478,031,770,248,
136,464,574,757,160,766,292,867,488,449,392,614,424,039,216,214,469,556,532,
155,868,973,930,459,696,801,448,171,970,767,318,186,365,854,228,993,827,296,
902,351,871,213,931,883,567,306,381,462,436,403,772,357,945,224,290,246,227,
470,308,404,590,663,192,333,695,836,857,276,693,311,244,274,056,217,390,944,
709,627,332,195,542,396,185,793,421,498,165,021,371,762,168,093,433,750,118,
881,421,061,838,253,795,710,110,172,211,496,520,465,453,688,196,152,979,851,
126,729,847,053,507,770,133,849,370,339,992,910,738,650,801,114,846,834,049,
297,197,537,564,057,622,473,961,613,036,350,819,250,171,008,811,546,564,579,
209,469,186,610,668,727,543,360,847,538,333,400,045,695,105,238,606,318,221,
015,777,565,044,742,894,503,037,280,208,758,318,861,415,343,071,392,426,242,
826,544,740,218,726,949,621,151,753,297,345,313,455,168,042,807,819,436,313,
185,756,689,170,458,518,822,636,691,342,033,382,756,701,218,973,039,285,398,
594,076,312,924,303,694,500,862,885,015,500,832,217,528,144,144,696,050,555,
891,742,293,152,538,112,936,989,603,816,891,935,731,379,389,906,662,659,717,
854,030,502,109,179,053,539,769,682,362,554,846,599,204,170,353,276,760,795,
656,058,529,665,989,206,822,190,572,619,396,630,013,515,047,700,825,180,570,
337,820,186,469,541,879,664,781,174,101,450,690,905,722,040,705,873,132,599,
204,599,331,283,265,519,634,774,756,812,745,991,735,475,466,338,461,424,960,
884,611,721,635,942,937,822,639,666,187,176,087,871,724,171,409,347,563,529,
829,647,635,590,074,325,891,951,172,246,520,342,012,565,079,157,720,317,452,
372,664,790,571,411,512,737,140,846,428,008,342,737,526,739,299,777,996,512,
784,035,453,501,334,012,795,556,468,740,347,667,095,780,962,616,966,677,872,
389,014,262,209,645,595,171,800,658,531,032,339,619,589,078,438,010,438,274,
055,528,929,931,818,812,249,791,378,510,940,603,934,824,266,281,455,569,289,
405,555,366,794,279,463,805,135,852,411,522,995,304,217,873,987,748,629,648,
377,786,550,948,960,386,794,404,103,964,806,158,962,698,467,788,316,739,573,
333,932,991,216,231,804,388,645,936,021,936,713,999,410,707,718,037,564,295,
771,151,479,074,271,269,564,199,913,861,630,334,390,567,778,096,940,621,136,
544,321,544,995,331,696,920,751,905,268,811,411,063,750,563,631,576,188,765,
169,232,632,479,693,315,250,579,967,264,110,511,496,296,667,183,457,997,264,
124,830,951,039,096,758,058,332,394,517,425,144,538,276,081,180,950,008,250,
493,929,067,571,018,412,520,433,637,903,848,724,757,658,687,345,909,238,182,
493,007,524,973,421,964,397,029,893,874,253,112,683,173,194,782,273,099,759,
985,542,979,717,926,040,156,375,312,906,827,460,086,371,022,412,973,771,911,
916,601,159,191,919,852,837,291,311,308,859,048,453,835,816,304,290,051,390,
360,628,248,517,759,100,859,559,478,792,047,811,572,872,494,081,590,242,253,
578,887,893,078,215,702,323,484,727,000,418,837,879,448,719,218,928,082,909,
847,268,074,801,916,061,148,592,673,152,015,882,662,434,073,424,506,492,494,
400,718,951,649,474,598,993,898,480,492,701,102,032,993,275,492,176,023,488,
121,373,469,611,844,819,381,755,560,603,509,755,914,208,530,940,109,546,942,
568,932,132,589,494,060,904,814,295,073,440,976,047,173,050,483,706,305,699,
255,179,580,568,703,893,991,757,084,821,542,743,540,708,443,949,593,168,471,
372,599,767,561,793,783,456,349,210,719,844,719,536,110,681,248,730,815,690,
550,487,413,413,428,452,426,934,672,866,625,080,708,175,241,956,104,543,797,
121,595,537,567,375,416,782,878,678,675,883,285,826,669,689,140,376,549,816,
471,239,477,952,197,101,510,910,519,100,227,719,569,757,472,737,726,738,778,
088,617,638,352,297,222,400,694,874,016,841,695,834,472,785,960,533,497,581,
824,515,996,141,242,145,929,382,562,644,954,715,996,347,809,089,051,407,976,
096,796,165,449,502,130,575,338,491,015,333,874,241,242,467,083,381,749,093,
751,356,460,289,830,699,751,024,313,101,076,321,025,286,594,158,832,913,339,
846,529,571,302,531,825,798,815,666,613,390,702,539,936,723,195,947,509,665,
635,304,753,098,568,420,927,158,179,225,966,765,303,416,507,105,960,201,883,
422,881,640,018,052,833,791,120,347,815,760,241,587,373,163,579,668,618,489,
844,668,813,701,527,869,152,551,908,734,948,877,107,156,332,256,508,660,688,
039,243,814,744,022,975,946,774,295,020,230,474,825,360,520,808,630,021,914,
191,382,293,780,765,776,661,360,107,298,473,887,616,201,146,648,577,083,437,
573,544,113,088,001,063,908,570,272,377,296,405,301,094,118,753,133,572,074,
449,271,155,200,252,100,289,252,777,918,667,222,494,748,484,844,316,427,102,
839,312,397,274,266,819,299,023,305,223,006,969,820,616,460,008,245,371,835,
804,780,067,968,720,584,931,034,985,191,637,702,452,848,376,903,336,328,068,
586,271,018,392,219,832,277,617,885,264,421,517,812,941,617,485,607,146,143,
489,457,323,016,324,787,150,006,214,183,874,618,543,101,107,396,137,097,395,
627,506,397,976,644,834,246,990,946,489,520,377,488,250,799,793,008,500,405,
275,786,557,020,291,514,675,312,929,118,356,641,158,192,148,260,005,145,525,
201,688,858,339,863,158,446,022,900,280,010,376,093,002,846,941,684,624,333,
250,586,615,114,796,954,928,771,216,283,015,074,514,751,675,091,869,055,943,
055,634,022,720,152,366,903,827,643,898,857,535,191,336,139,956,660,247,522,
451,209,250,874,077,360,238,506,275,116,507,990,115,914,468,388,088,534,606,
293,294,926,408,020,460,732,419,911,880,456,311,526,364,694,372,530,866,157,
913,802,602,657,585,179,757,737,718,657,071,921,785,729,040,947,423,377,847,
569,826,113,538,633,195,630,871,905,865,880,201,600,232,418,118,599,844,216,
225,069,598,313,529,555,467,155,237,086,181,976,207,691,227,355,149,563,935,
978,997,374,213,427,785,239,926,639,854,380,755,026,207,697,814,188,082,390,
547,510,134,480,336,337,292,888,464,143,698,257,766,430,737,841,464,398,099,
901,287,390,181,920,246,242,181,044,401,692,112,602,013,573,786,178,317,768,
221,153,789,118,638,385,117,002,212,244,198,346,543,494,664,864,955,407,017,
151,461,836,652,845,884,647,901,680,783,030,967,702,682,368,608,633,816,394,
229,784,946,186,904,056,650,822,795,845,086,347,011,942,425,785,672,004,993,
527,192,134,255,560,665,387,446,841,678,534,997,674,127,687,439,370,490,494,
549,877,845,963,964,334,626,087,455,838,336,675,713,312,551,216,114,896,451,
426,240,410,420,422,433,793,199,576,796,412,021,667,743,046,248,909,767,224,
252,752,157,242,843,373,911,331,057,460,562,433,467,684,291,517,775,337,358,
932,004,254,128,143,862,616,568,087,985,111,589,263,637,438,583,223,404,355,
856,796,796,531,317,000,551,142,536,653,091,422,425,329,619,378,555,506,741,
762,377,482,407,396,524,594,605,244,166,191,699,987,450,996,228,748,312,286,
494,531,034,702,382,527,780,988,699,680,615,935,395,292,848,820,367,312,390,
542,880,541,160,368,194,301,818,152,083,936,069,868,708,065,882,505,495,623,
462,633,455,810,241,454,380,210,853,091,126,755,193,002,577,736,230,635,111,
255,871,057,155,095,542,232,763,550,892,284,736,299,282,499,358,818,826,301,
213,475,277,188,758,625,187,093,489,039,231,938,813,069,884,961,693,838,609,
069,254,019,684,094,275,666,709,408,242,140,565,839,640,693,955,095,528,974,
039,800,162,661,185,292,955,489,760,388,967,645,675,335,949,568,162,839,664,
535,844,705,297,907,029,008,572,954,052,735,056,277,894,821,961,563,695,440,
750,782,781,001,886,917,394,368,818,253,590,599,451,465,747,569,417,642,784,
943,086,535,064,424,807,076,766,867,193,086,806,234,474,060,096,553,909,164,
651,786,666,266,169,422,473,396,846,712,512,452,301,048,552,255,039,740,031,
601,954,967,818,268,093,785,715,892,360,768,683,200,837,381,331,614,708,500,
140,562,326,302,219,118,423,965,214,107,652,853,995,768,193,278,600,374,925,
736,876,385,445,720,707,575,742,935,079,988,979,107,717,484,558,856,776,185,
821,373,783,258,320,750,915,155,680,526,748,131,486,662,588,819,927,562,964,
701,362,767,510,917,768,632,061,110,805,726,741,519,985,766,230,273,919,615,
913,522,868,359,050,703,063,206,763,376,718,663,407,067,443,782,585,887,171,
591,545,923,521,467,395,998,812,035,498,767,542,253,870,006,812,361,194,439,
097,875,711,260,165,751,139,888,178,107,411,866,792,757,107,517,882,948,627,
180,268,530,587,489,711,150,287,351,321,843,100,551,277,293,784,630,853,751,
966,299,063,526,415,151,265,446,472,829,041,812,514,111,017,615,182,730,644,
386,154,889,900,806,250,158,884,656,810,761,477,880,822,355,139,961,514,333,
569,356,269,477,259,782,575,093,258,564,139,074,817,314,770,387,173,321,959,
726,417,814,981,210,269,315,379,548,198,861,996,421,743,239,883,727,046,257,
081,694,451,028,568,006,998,668,164,346,834,679,401,959,451,340,053,209,440,
943,044,875,041,667,274,090,534,129,803,827,618,949,659,629,033,150,401,057,
592,036,334,017,442,808,036,211,621,703,514,028,685,251,833,917,563,071,724,
876,121,942,052,401,513,296,419,494,407,075,699,940,092,324,000,955,114,308,
849,907,445,127,719,839,713,879,794,785,262,306,456,023,931,078,706,200,891,
454,326,210,004,661,852,065,318,275,811,411,907,723,013,614,473,840,937,591,
354,993,739,007,975,968,841,216,151,729,824,023,482,283,379,793,916,258,114,
065,922,946,228,961,093,742,187,486,709,916,170,969,287,634,146,178,435,956,
032,514,778,655,030,831,030,933,818,251,529,490,727,573,454,341,221,693,869,
014,098,566,325,455,648,921,654,787,219,500,635,668,035,660,699,365,318,339,
371,291,820,428,335,046,114,190,919,395,502,647,476,648,007,837,449,389,316,
617,124,073,356,776,536,831,947,105,295,633,737,515,143,360,401,546,011,973,
744,549,788,643,112,884,813,105,670,666,969,790,119,780,343,282,648,735,385,
333,376,128,025,262,733,497,076,739,479,527,126,414,925,414,313,084,119,650,
832,921,203,545,750,822,035,047,515,827,584,421,872,712,567,891,184,401,912,
946,939,173,019,262,243,198,787,552,996,246,125,875,706,332,110,106,704,127,
446,431,183,115,048,880,641,464,373,737,758,417,556,187,473,808,033,867,335,
567,865,845,203,140,451,640,381,717,570,148,698,830,187,722,835,495,317,471,
011,591,634,256,095,287,196,948,885,255,714,362,472,527,753,605,652,935,722,
333,284,161,194,405,937,954,774,260,562,932,321,012,564,048,677,443,141,242,
746,986,706,956,678,986,846,793,614,573,485,853,389,080,385,434,388,083,681,
365,386,501,751,072,830,700,522,818,412,026,860,455,248,076,993,053,454,651,
318,372,729,528,918,123,968,799,055,356,134,134,188,481,139,801,181,606,253,
328,950,781,738,725,386,663,048,928,878,767,935,225,775,123,258,491,416,339,
105,556,575,029,575,834,640,772,101,601,272,071,852,348,142,524,800,343,148,
863,849,650,493,081,801,650,096,705,026,747,526,334,117,268,692,151,292,124,
107,148,435,652,112,779,325,432,499,358,924,247,036,807,969,710,242,694,664,
911,418,427,049,617,915,894,630,529,420,212,981,699,051,956,356,908,753,787,
903,591,543,430,445,482,589,562,178,212,855,270,266,585,175,169,489,036,874,
386,511,028,817,796,760,786,689,706,795,078,527,670,823,213,013,203,253,565,
986,384,133,696,519,278,220,717,142,716,133,123,318,820,233,349,533,496,788,
925,600,075,423,185,855,370,302,946,477,930,910,584,079,265,778,898,071,551,
393,618,382,162,415,614,229,741,173,956,818,054,601,597,160,842,280,283,385,
891,229,876,850,210,073,120,567,187,136,344,725,890,607,294,640,321,219,593,
083,137,339,676,069,497,504,783,224,064,064,019,971,289,400,091,331,688,464,
211,185,614,386,038,219,342,725,186,866,818,197,607,330,777,868,668,261,865,
615,335,092,206,040,023,472,142,312,994,309,764,407,022,059,276,120,184,323,
904,340,371,268,089,536,746,031,175,470,815,356,126,593,730,188,590,468,212,
453,526,006,531,834,104,517,750,039,523,095,590,645,395,745,177,947,996,131,
021,089,170,171,264,142,294,666,866,352,663,814,361,706,161,243,387,391,728,
815,392,279,296,060,104,765,133,955,355,184,495,390,216,455,472,917,904,139,
111,733,695,907,084,727,076,969,858,402,596,956,822,130,384,206,409,050,484,
248,026,476,278,260,939,381,468,910,736,078,250,059,741,825,422,034,239,461,
947,073,342,898,202,964,917,701,756,502,063,949,099,836,262,722,821,072,848,
853,338,680,462,242,003,636,602,897,277,766,825,171,252,685,724,930,508,557,
125,456,064,540,213,643,776,920,191,709,746,503,137,192,147,239,299,492,328,
788,514,516,685,152,295,395,035,275,872,842,947,512,926,779,636,653,068,184,
211,206,520,680,549,116,016,669,253,353,756,193,261,279,702,924,222,297,883,
506,497,000,026,474,654,453,622,590,710,629,574,787,647,396,878,647,525,225,
700,127,998,798,423,520,196,130,252,086,847,129,493,211,471,880,808,057,552,
039,908,163,113,277,099,738,753,830,437,844,166,313,389,245,960,665,291,771,
763,476,226,215,196,358,233,038,816,181,760,516,353,991,862,525,016,395,966,
746,759,550,665,920,599,610,783,885,428,196,380,735,642,736,172,503,390,084,
542,826,736,938,134,537,359,112,342,622,454,179,535,064,469,916,946,422,355,
788,259,167,124,511,448,964,000,614,970,782,227,214,790,460,005,734,105,263,
604,996,046,242,644,429,224,421,609,728,684,665,020,169,658,247,403,000,463,
056,326,793,838,194,693,812,204,233,279,239,356,752,197,782,983,054,443,449,
999,557,754,276,314,000,257,379,492,916,569,665,967,971,219,958,472,908,487,
030,945,861,919,972,321,772,901,812,970,540,802,154,028,673,766,187,652,769,
719,526,048,547,742,058,023,418,349,515,120,704,052,778,187,236,502,032,947,
321,037,035,397,929,212,058,283,088,383,080,667,400,761,461,020,109,435,259,
578,091,179,006,034,610,196,492,803,764,683,338,681,460,297,892,056,709,030,
020,481,616,386,761,349,498,998,810,222,947,198,161,580,461,607,118,342,724,
720,608,689,101,064,368,452,148,085,050,301,560,505,642,903,286,348,019,105,
478,031,953,142,856,944,763,520,566,915,529,983,349,253,309,087,067,740,014,
974,157,761,645,808,952,650,583,430,789,469,709,268,405,052,728,439,596,944,
701,099,332,809,081,021,444,005,561,727,270,820,288,359,636,495,811,731,106,
004,869,974,713,478,096,742,984,464,584,495,342,724,777,224,355,139,159,196,
857,768,093,160,898,806,382,234,671,694,938,306,937,283,932,527,790,457,910,
329,088,396,108,888,350,253,452,832,340,900,307,836,711,923,222,102,580,030,
423,288,483,083,798,619,457,139,015,332,296,162,374,684,703,199,757,302,274,
664,939,342,437,393,288,819,907,128,353,314,462,181,052,298,483,646,097,595,
073,154,965,510,969,749,524,152,558,446,621,060,977,656,199,596,326,298,555,
938,749,188,366,085,572,634,880,843,769,865,148,153,485,736,237,235,521,450,
921,636,097,682,569,185,127,208,314,083,607,360,198,299,775,054,502,984,512,
238,850,186,065,120,709,144,826,983,203,904,775,422,793,457,237,288,721,307,
040,520,743,291,815,470,157,439,607,318,390,834,570,831,326,299,093,069,358,
508,063,269,587,087,088,525,393,866,600,719,888,166,347,465,824,822,330,984,
849,548,011,703,140,522,842,463,301,945,314,972,318,266,629,963,030,658,030,
632,622,065,627,203,700,669,976,205,709,060,166,826,882,212,429,334,210,207,
476,337,350,755,545,751,140,016,186,851,720,466,892,025,526,446,517,707,935,
045,183,982,924,890,358,392,225,725,334,542,204,224,413,561,673,347,264,706,
681,122,080,891,184,401,531,838,946,344,092,573,650,175,464,055,895,593,303,
936,013,293,731,606,755,262,818,656,106,759,147,206,774,533,402,216,584,653,
354,951,147,555,195,498,032,016,169,476,728,195,850,538,753,749,496,932,927,
461,047,842,380,979,550,677,766,369,650,391,975,658,107,312,425,336,991,565,
227,765,572,087,508,200,851,490,681,774,332,348,882,610,179,391,198,186,391,
463,878,847,229,535,716,941,903,023,167,066,827,196,874,585,440,944,882,547,
426,317,705,494,072,377,834,604,357,280,403,028,572,149,657,060,073,355,095,
984,740,519,615,629,705,921,973,057,770,716,411,989,894,565,331,349,354,762,
078,233,754,249,405,195,499,427,133,025,154,183,294,717,729,943,317,469,876,
672,091,960,241,899,512,313,814,114,343,419,785,366,729,477,827,342,328,831,
173,116,215,055,431,126,034,282,917,268,365,828,348,648,562,550,932,036,259,
419,294,626,429,267,429,945,006,347,263,942,972,551,708,918,293,804,438,923,
779,296,608,529,650,343,842,419,513,118,044,295,255,680,728,657,400,819,087,
653,821,876,264,469,848,706,280,735,326,544,031,081,002,261,822,268,880,218,
175,008,690,057,907,830,554,353,704,607,784,086,300,392,297,590,380,601,477,
002,641,666,590,385,820,018,492,913,976,968,735,816,004,601,011,401,378,919,
570,357,629,610,731,951,874,646,602,167,841,485,310,358,160,328,097,750,715,
126,349,112,960,388,557,929,787,794,514,277,237,252,946,704,220,684,510,388,
106,043,663,872,566,519,672,443,957,206,458,416,903,904,552,198,215,608,945,
762,689,686,793,790,070,507,699,825,618,496,872,108,338,272,330,273,666,175,
885,444,490,187,625,114,254,835,555,973,863,778,527,586,372,216,567,021,079,
382,354,057,078,738,409,930,925,167,938,310,779,911,453,564,194,295,688,199,
091,991,123,721,517,435,434,443,480,750,599,783,624,039,535,416,729,763,127,
635,746,886,701,193,830,723,879,160,771,689,227,650,538,684,156,407,610,375,
813,368,724,618,080,058,605,644,141,601,485,301,422,439,596,000,462,019,304,
783,176,940,965,698,988,868,959,736,851,150,554,238,665,483,177,574,993,595,
158,226,522,125,301,147,461,930,075,571,557,642,600,108,060,268,274,191,909,
548,151,444,281,834,410,288,244,037,481,142,160,882,850,553,609,168,158,945,
835,661,627,672,901,339,127,076,703,292,875,087,482,149,724,296,024,578,570,
583,793,734,319,543,776,203,988,927,198,982,656,893,448,239,652,770,659,605,
460,525,025,901,504,317,466,107,069,559,253,095,271,726,608,422,934,650,424,
997,690,614,285,612,626,441,612,921,967,597,427,264,837,426,675,148,440,360,
380,864,104,108,575,137,700,372,670,253,583,876,380,776,618,535,714,634,265,
987,133,650,511,749,339,891,697,381,866,055,059,541,584,683,249,355,805,762,
410,390,477,150,664,432,818,558,487,393,410,375,147,996,634,610,624,179,039,
590,542,552,043,863,645,859,518,207,107,951,424,495,126,865,020,842,350,840,
584,341,845,480,169,650,438,534,810,416,788,215,743,648,633,886,780,466,126,
000,353,094,047,405,820,667,483,487,305,992,121,040,890,375,998,428,494,780,
149,080,350,788,870,141,120,722,423,925,294,567,449,439,095,167,882,096,329,
042,892,018,820,336,222,201,019,400,653,274,017,604,132,155,103,226,479,294,
085,536,707,266,894,583,781,655,434,763,850,253,645,876,476,196,793,668,939,
787,633,883,356,127,531,714,812,356,679,889,600,138,807,453,842,858,975,622,
348,495,703,980,866,620,744,089,207,624,617,923,482,421,991,849,628,650,440,
758,031,051,644,193,737,225,316,811,512,548,507,556,905,449,798,630,756,312,
632,484,592,496,280,998,272,014,391,918,947,255,297,963,761,067,016,473,205,
570,493,314,608,502,153,996,882,914,827,719,135,367,324,252,881,172,931,360,
314,467,653,969,887,512,658,663,743,771,410,905,625,627,420,797,055,959,419,
439,321,207,637,560,618,831,777,222,278,462,953,752,357,421,803,514,068,160,
478,670,537,349,991,708,920,531,903,737,563,072,110,698,525,800,586,992,475,
442,110,767,256,084,132,650,271,089,391,472,437,718,030,803,984,153,003,204,
235,656,788,051,178,475,815,621,740,082,578,564,189,657,108,615,183,044,686,
156,332,488,007,607,863,754,129,047,037,769,388,217,949,808,153,534,642,704,
431,164,099,621,375,626,947,156,849,902,832,054,624,826,040,580,733,806,191,
638,624,891,116,567,914,379,901,340,560,180,899,713,777,588,192,136,415,683,
189,586,285,885,817,300,475,198,624,823,060,620,333,204,125,238,909,505,376,
875,813,177,210,644,211,487,220,897,515,014,610,606,767,829,282,052,171,110,
541,072,953,830,220,321,113,071,911,644,807,189,629,376,440,897,275,196,749,
236,348,906,320,896,540,035,975,506,941,852,173,313,522,250,126,715,937,690,
415,543,418,008,891,111,414,053,368,811,092,139,136,559,177,319,844,128,992,
666,283,159,206,812,728,547,945,384,383,090,563,970,695,227,231,336,824,114,
161,543,331,733,156,324,887,754,403,244,936,477,223,674,872,645,844,211,584,
437,941,226,281,890,377,574,830,043,477,745,258,800,119,892,061,165,438,003,
074,887,830,741,678,154,879,454,425,714,516,311,699,745,026,284,003,942,488,
400,535,208,489,517,175,457,686,825,909,605,589,401,781,059,485,447,536,438,
981,109,776,541,971,867,018,690,892,865,541,966,854,870,658,391,595,196,699,
769,768,447,538,597,741,436,174,186,396,273,062,856,109,803,676,062,034,304,
861,594,195,594,063,491,269,987,936,402,029,295,009,218,595,667,745,658,538,
940,261,591,698,915,379,320,512,634,853,345,845,494,895,143,030,681,624,572,
278,374,814,551,897,065,717,697,520,666,161,640,010,165,212,471,592,051,660,
049,629,666,654,993,261,688,941,593,036,460,495,315,858,116,623,207,637,099,
871,025,043,140,509,882,518,648,425,180,371,022,735,118,957,334,881,074,403,
054,082,914,084,957,775,588,465,850,113,203,831,055,085,454,567,800,752,564,
672,243,107,255,238,662,047,421,935,577,680,247,685,104,742,116,272,986,794,
890,312,112,498,521,636,895,493,159,520,013,123,741,000,900,297,569,764,861,
431,392,853,994,055,374,832,578,318,215,126,092,671,023,503,991,394,744,011,
490,364,881,748,815,262,314,649,079,419,825,556,445,717,382,700,065,903,553,
264,761,305,090,381,417,782,774,511,233,825,736,290,781,535,326,321,979,514,
709,674,656,019,499,909,628,031,889,588,466,804,972,140,174,040,681,207,059,
750,922,375,073,505,596,963,196,367,232,472,377,056,597,730,290,073,084,084,
521,625,379,760,565,850,932,386,521,612,010,310,914,745,282,967,359,436,859,
067,655,812,448,690,690,273,322,309,952,107,120,964,298,663,255,836,337,564,
279,790,630,699,086,443,920,096,032,565,407,363,276,384,067,413,563,589,918,
592,681,973,853,052,671,662,345,097,195,230,830,273,554,444,562,470,421,356,
486,020,932,193,225,781,862,199,472,350,956,247,646,365,345,359,285,756,748,
902,288,334,019,822,457,060,480,331,211,171,589,848,216,455,231,107,794,445,
086,007,438,435,994,483,137,011,754,083,207,629,925,209,526,193,313,783,441,
387,105,877,347,305,683,161,124,058,925,889,441,712,699,831,282,548,487,119,
630,061,271,053,127,473,665,231,032,198,662,286,863,519,983,574,343,850,064,
330,857,533,982,350,384,501,904,497,052,564,558,933,753,516,428,047,390,359,
023,770,628,942,109,890,259,666,393,199,950,322,597,548,729,749,928,403,092,
735,055,020,533,359,759,929,592,432,033,693,863,724,826,245,571,791,286,455,
227,553,103,733,029,132,097,784,710,550,374,395,244,814,782,925,382,173,093,
697,657,990,094,733,283,896,805,781,825,943,162,657,036,757,213,694,085,665,
959,857,736,714,648,941,594,559,887,768,243,914,398,575,440,298,827,474,586,
036,781,424,569,849,233,846,668,584,326,151,298,011,633,690,678,925,752,649,
041,440,651,769,984,323,066,558,017,946,244,663,147,869,433,816,572,516,227,
075,327,946,985,464,882,002,193,935,068,429,962,315,355,823,391,558,387,962,
695,655,340,142,369,419,464,955,667,911,479,329,607,417,227,218,022,910,285,
837,561,389,483,678,464,209,720,631,992,035,756,477,379,533,066,058,085,512,
543,707,705,648,063,222,487,802,034,632,877,144,459,463,010,565,149,554,621,
107,808,163,961,171,541,206,075,420,314,802,859,378,544,017,906,300,188,006,
156,227,794,017,523,384,357,771,557,290,771,551,063,043,055,087,879,782,663,
298,472,918,214,669,869,070,353,376,387,046,539,169,736,052,919,412,061,611,
752,793,507,412,757,361,166,171,215,668,982,104,550,937,778,289,839,210,733,
500,804,162,567,233,051,341,542,251,404,901,653,393,647,772,321,657,539,752,
353,950,942,975,683,436,113,710,799,842,306,335,281,204,063,124,862,099,711,
096,942,808,806,706,180,102,174,443,585,944,991,169,749,218,830,669,796,752,
123,333,690,401,638,952,835,196,330,094,680,477,349,002,890,989,605,947,627,
278,398,375,305,988,062,293,588,715,941,457,784,933,054,400,921,792,446,315,
944,822,113,860,416,879,049,557,421,301,657,603,786,124,570,646,142,344,060,
757,311,679,862,003,234,837,693,750,237,229,245,558,623,461,349,993,153,250,
032,366,872,982,960,434,426,749,192,323,054,513,830,518,825,112,030,234,093,
547,062,390,753,126,261,166,683,282,983,069,220,960,490,399,081,855,226,125,
651,326,070,757,780,344,674,329,730,182,010,978,824,227,551,268,871,061,649,
853,433,012,934,122,436,655,975,375,138,797,183,093,486,214,961,990,031,964,
704,869,349,910,320,724,615,932,959,031,073,459,920,290,918,269,938,634,626,
609,217,822,012,271,101,955,654,168,637,741,686,840,902,395,013,679,709,068,
068,089,084,105,310,386,871,587,021,209,703,030,002,539,594,310,561,287,231,
307,992,036,363,242,087,751,507,247,397,269,453,818,923,839,023,398,936,329,
362,432,964,152,392,126,847,941,714,509,751,761,147,860,788,890,622,269,573,
454,677,011,348,737,668,966,127,777,260,220,659,865,679,456,244,540,102,929,
596,851,211,140,746,766,067,419,031,542,863,190,160,396,480,757,051,636,692,
100,900,636,616,888,371,091,389,414,491,595,661,697,310,851,198,425,201,814,
591,806,212,003,534,769,116,463,605,158,915,184,777,099,515,855,226,361,569,
398,790,242,617,768,524,297,453,423,238,270,003,971,050,216,086,382,714,558,
367,613,378,513,976,976,367,577,395,662,159,449,520,872,281,248,739,527,904,
723,189,639,942,435,472,633,651,244,128,018,968,810,857,616,531,051,874,093,
383,486,264,470,622,948,989,801,079,862,328,185,238,639,966,881,798,827,349,
249,290,500,581,887,322,889,216,050,635,613,499,432,455,607,926,668,554,716,
903,220,362,964,057,726,330,322,893,040,849,161,686,468,686,183,442,787,265,
520,241,005,360,466,986,696,752,317,713,744,341,957,621,627,336,915,145,978,
958,576,547,895,335,870,627,966,344,345,317,954,499,859,667,420,302,352,729,
061,560,018,866,433,151,530,484,938,298,860,647,776,184,020,245,825,500,060,
682,801,243,632,592,836,150,177,564,720,308,807,023,840,439,545,038,865,192,
431,407,602,039,951,509,512,852,531,795,585,624,037,651,985,699,298,856,150,
253,282,593,382,607,972,848,395,278,222,883,256,884,296,296,115,683,955,701,
388,354,292,651,236,082,427,425,544,045,710,335,889,757,757,432,868,219,021,
235,557,751,369,421,865,584,354,644,908,700,619,555,483,231,844,144,857,757,
815,712,090,106,954,627,501,642,242,797,037,772,261,603,089,493,185,457,273,
516,350,587,120,427,110,081,436,583,188,199,975,881,428,690,764,627,013,703,
259,025,816,137,484,914,359,020,869,772,187,792,596,428,342,451,584,160,110,
962,966,205,957,972,978,243,475,912,637,555,524,606,130,510,710,246,652,602,
649,070,495,807,676,707,087,075,754,885,702,233,786,107,455,765,842,776,198,
631,935,389,554,214,563,354,311,481,232,922,690,626,567,058,720,906,174,535,
940,961,986,289,477,617,488,727,442,328,141,240,723,522,583,812,927,096,437,
238,972,604,746,588,335,434,667,101,168,214,817,269,186,000,863,440,845,064,
620,651,048,748,091,279,191,263,281,127,598,895,253,035,911,648,075,451,238,
700,010,615,436,761,286,043,089,691,815,932,838,987,260,799,009,833,029,419,
872,762,235,464,213,637,476,746,614,656,958,371,249,687,349,910,694,573,503,
660,073,334,436,635,452,841,901,334,412,640,976,853,813,139,484,601,196,051,
317,395,207,997,244,996,719,969,901,279,381,957,117,499,967,013,219,515,412,
866,074,072,888,148,686,250,392,315,349,361,284,240,815,034,681,550,063,664,
412,162,658,052,180,690,238,407,474,444,896,294,871,951,477,370,129,137,051,
814,550,462,757,602,884,193,264,620,255,402,801,193,461,034,680,493,942,592,
092,329,614,279,707,863,981,052,214,457,151,086,317,864,804,010,553,746,699,
491,576,358,080,629,747,826,748,400,893,514,697,091,598,426,779,179,491,985,
172,575,931,260,002,622,673,932,481,092,080,235,490,903,695,457,440,815,076,
381,497,419,724,438,837,241,083,816,660,737,454,694,522,612,461,915,222,786,
224,200,531,082,817,543,130,599,594,881,980,786,236,152,118,504,131,061,564,
997,937,526,368,028,369,976,543,012,790,817,666,455,009,619,900,970,873,527,
026,891,571,232,118,798,699,195,273,440,679,794,229,597,655,341,873,564,453,
559,753,634,749,998,020,123,743,655,439,888,755,995,423,327,859,530,620,598,
752,876,500,878,849,419,580,656,945,699,235,557,335,345,048,214,610,638,331,
066,611,109,705,375,316,605,909,020,542,317,770,218,292,479,306,788,484,006,
924,362,468,418,006,118,371,883,846,493,317,119,208,636,030,230,815,470,674,
338,912,464,084,297,464,484,311,679,649,357,919,676,780,028,114,451,193,784,
386,324,417,029,279,701,494,866,441,915,845,726,919,189,066,962,853,799,720,
730,882,297,232,418,956,760,742,749,944,529,234,325,458,292,691,751,397,006,
943,357,075,120,865,623,495,520,790,554,745,773,796,117,440,725,354,944,957,
449,698,186,748,018,374,841,713,150,049,965,266,136,189,049,409,207,230,041,
780,547,627,862,208,765,297,873,670,211,954,190,157,535,725,677,646,265,032,
844,315,526,991,965,964,597,462,637,118,651,588,829,938,892,477,050,821,580,
222,065,468,865,649,680,955,135,016,864,374,388,571,334,942,179,306,693,107,
445,259,674,231,737,681,125,199,253,574,630,877,657,889,536,981,959,758,492,
948,288,806,627,832,603,689,317,158,754,654,687,086,603,408,186,252,554,921,
424,065,806,888,546,667,073,194,601,263,786,570,656,733,157,396,292,785,193,
372,565,113,866,513,066,708,415,225,451,868,679,807,085,244,434,819,593,579,
308,916,813,730,834,206,968,619,983,753,905,573,827,531,285,451,231,737,168,
437,640,018,207,659,726,013,817,748,139,465,827,608,448,824,258,854,505,453,
792,895,047,746,954,621,620,210,962,127,274,490,629,834,270,688,634,948,758,
645,469,066,889,009,820,131,676,354,820,791,380,984,203,853,573,389,323,919,
720,874,986,356,896,797,418,391,888,818,469,224,136,065,646,490,668,537,137,
057,765,800,735,828,635,818,362,521,955,282,480,087,049,606,732,053,735,023,
363,502,432,892,674,777,008,003,138,306,119,351,474,063,063,550,068,502,758,
610,063,416,537,600,182,726,813,783,341,705,120,687,150,745,147,231,373,985,
802,121,535,079,676,024,944,219,635,411,082,882,517,041,533,369,573,448,424,
370,782,650,281,706,628,265,875,958,033,881,187,108,795,829,872,166,797,206,
237,659,968,354,552,558,053,035,472,484,998,710,440,772,725,846,056,639,712,
693,273,265,578,981,204,780,130,994,383,537,602,887,791,678,335,274,520,438,
107,502,531,913,560,079,390,752,240,261,241,528,881,191,649,626,717,517,149,
514,719,791,049,399,819,364,667,399,032,107,578,139,210,020,132,217,883,409,
629,109,747,972,207,987,848,607,978,174,369,674,065,668,179,369,037,339,644,
789,276,932,262,023,317,945,895,374,480,145,107,962,970,571,417,090,030,732,
328,942,002,535,587,519,085,069,971,286,838,321,421,776,159,431,495,212,381,
127,153,867,935,949,485,055,219,205,196,371,039,378,250,122,054,256,333,867,
373,716,200,735,513,516,343,436,441,354,662,446,620,188,282,532,474,246,687,
270,310,931,082,211,754,548,723,622,044,132,765,921,968,085,682,412,810,941,
038,251,307,769,751,532,023,432,499,864,780,847,130,852,333,217,111,793,190,
115,674,948,613,842,245,178,617,276,339,332,797,831,165,206,712,911,040,216,
164,321,246,128,580,527,837,146,939,619,436,003,751,371,119,708,011,847,043,
660,572,079,205,235,956,457,344,090,794,642,983,895,348,560,314,282,994,466,
978,601,854,440,096,844,449,024,101,996,545,822,491,713,080,099,914,810,830,
704,054,427,740,324,457,733,738,184,230,316,505,877,235,010,490,041,381,546,
646,277,458,169,837,111,987,637,341,226,264,147,872,610,573,011,935,022,807,
022,047,835,767,839,777,833,509,981,435,137,501,197,619,106,085,453,285,462,
713,743,515,197,628,872,706,869,326,037,606,422,753,217,372,123,687,627,294,
952,171,420,626,312,729,066,990,461,514,818,828,836,327,432,968,847,362,848,
583,256,162,280,183,454,478,936,163,669,559,629,362,762,131,113,137,355,033,
999,240,855,938,189,497,851,442,470,011,880,707,554,000,666,794,928,010,841,
052,834,190,673,369,705,099,866,473,698,594,864,978,931,317,827,170,160,384,
305,253,018,054,176,609,589,816,524,714,214,823,926,075,766,212,217,866,034,
828,534,079,796,449,686,690,670,037,150,314,721,469,573,792,534,622,548,514,
959,241,433,485,073,097,530,729,996,478,039,365,573,934,816,683,027,028,837,
318,844,186,616,915,944,080,510,539,528,324,061,741,648,869,518,618,235,941,
761,394,026,706,404,680,414,448,759,856,140,845,738,896,757,019,464,976,995,
292,688,661,958,111,600,618,942,527,990,757,498,773,322,350,630,630,310,263,
232,786,727,907,454,238,441,256,370,889,184,224,036,029,772,191,837,077,930,
698,133,191,838,346,228,246,068,166,365,253,429,327,120,573,262,711,884,156,
925,564,702,023,141,214,233,775,947,803,120,820,061,007,490,186,872,158,787,
716,464,384,860,754,018,967,886,281,105,173,937,547,390,681,092,590,428,901,
571,099,055,150,366,315,861,554,464,841,340,032,247,283,418,977,933,111,491,
218,511,640,361,614,228,646,075,271,804,573,997,375,180,970,739,771,848,500,
429,089,552,501,051,609,030,776,900,317,604,931,131,062,958,371,259,835,110,
751,863,677,635,522,401,021,210,902,770,275,406,124,777,714,703,869,357,915,
481,398,270,769,936,818,304,790,220,352,641,212,665,790,377,643,803,343,183,
973,279,563,620,513,154,690,702,029,412,867,849,939,460,677,447,864,549,237,
186,183,809,265,638,394,526,594,512,616,984,606,885,533,762,875,918,419,467,
978,612,248,924,984,211,745,964,428,039,587,619,546,987,502,773,797,861,922,
244,950,361,881,695,758,107,774,094,702,344,523,896,456,556,145,764,329,655,
062,244,981,847,718,824,692,149,298,658,121,389,607,583,253,449,497,544,195,
893,136,238,914,737,522,308,993,630,422,246,694,908,142,629,646,205,069,742,
299,934,099,743,381,376,605,249,274,153,876,266,529,815,033,512,298,966,996,
159,514,727,492,767,872,206,502,775,236,162,372,272,531,458,465,626,041,923,
997,118,314,155,557,420,241,273,723,872,357,804,875,540,197,167,264,069,922,
509,861,318,112,012,850,299,828,228,960,099,991,525,973,771,791,794,409,665,
307,841,225,307,731,275,982,951,648,047,919,796,458,492,989,905,794,032,424,
110,811,162,308,394,978,732,536,858,014,867,711,943,851,495,583,512,504,286,
956,746,549,538,226,286,814,795,497,291,238,485,084,145,017,349,947,579,197,
257,423,686,838,717,018,229,983,449,636,869,784,282,006,906,033,143,379,276,
649,316,857,375,305,579,397,685,856,808,499,368,813,168,302,559,587,149,052,
707,193,183,106,723,059,707,121,347,058,618,957,015,930,685,360,605,135,160,
082,582,398,456,640,983,128,464,252,737,797,357,072,049,317,124,823,823,285,
850,192,998,544,724,129,954,798,943,802,330,717,452,848,925,186,582,847,816,
778,277,153,569,673,421,706,478,241,452,662,696,392,825,605,470,095,087,824,
597,198,815,507,544,125,710,055,499,813,484,914,599,246,339,311,999,104,055,
901,088,832,291,762,278,884,928,417,451,546,566,160,111,463,240,718,695,738,
384,801,871,629,348,560,518,549,779,579,582,950,981,377,764,456,269,484,901,
227,754,404,888,635,225,160,493,018,099,561,955,743,745,626,067,202,891,677,
511,472,762,188,741,234,381,853,659,078,067,740,717,462,987,380,432,624,249,
238,727,317,324,229,901,453,207,487,328,121,567,013,470,624,082,687,818,853,
568,642,714,144,836,302,305,271,492,482,340,569,806,122,086,421,126,291,186,
806,052,217,249,463,591,955,283,790,057,698,852,923,301,652,740,259,113,774,
541,825,197,584,643,965,454,080,826,364,260,938,731,634,061,179,816,619,050,
784,841,285,088,619,391,327,839,121,881,299,323,137,153,116,084,106,340,528,
766,230,678,105,811,049,858,128,993,972,885,604,400,870,271,015,108,075,457,
556,427,048,549,905,605,435,234,819,992,020,617,358,656,126,931,347,025,202,
865,698,672,359,518,243,720,257,386,547,366,762,333,551,281,554,073,215,261,
669,396,656,333,508,654,506,531,634,367,904,360,240,267,660,263,787,876,085,
080,888,809,370,033,961,862,224,554,621,346,868,787,505,864,023,021,476,862,
995,163,723,987,402,988,183,378,349,960,938,026,359,354,400,343,496,822,480,
779,182,740,271,562,206,800,589,841,513,512,525,771,329,809,366,922,197,623,
319,268,648,949,260,976,719,676,367,719,763,985,995,734,431,032,266,702,869,
516,651,371,435,172,745,337,301,048,617,910,008,307,307,327,462,827,944,487,
809,423,915,668,951,721,258,004,189,421,405,909,486,623,140,555,058,969,364,
786,727,148,747,389,671,543,345,987,364,661,444,681,477,109,696,180,728,568,
431,316,162,298,968,734,203,332,514,719,421,320,061,540,400,411,243,944,314,
397,741,129,718,873,788,726,333,404,821,848,334,317,102,372,811,364,847,224,
807,767,031,243,826,949,357,497,659,189,881,626,088,778,013,683,422,292,019,
010,477,341,562,500,905,199,691,893,367,121,389,387,710,417,470,629,042,332,
741,135,347,969,109,230,527,768,282,522,724,336,775,880,813,930,007,812,771,
611,298,700,668,002,909,047,758,687,847,405,101,254,503,980,373,003,363,495,
263,685,351,019,664,730,500,802,459,800,819,592,864,817,366,928,175,982,580,
660,726,863,076,268,732,285,084,730,058,288,267,215,018,517,348,399,407,340,
591,355,541,735,537,646,741,245,052,146,443,249,461,321,653,134,080,184,619,
210,507,237,897,951,881,166,294,040,619,576,117,076,860,637,422,261,415,032,
853,434,923,240,418,856,297,714,599,603,475,521,362,979,040,565,307,157,792,
338,423,849,530,506,410,897,725,314,705,514,472,149,303,692,707,089,115,089,
127,014,542,255,860,679,586,005,453,938,234,665,925,991,882,518,020,352,190,
672,368,774,001,065,339,493,437,782,496,742,372,534,471,860,788,962,847,035,
015,959,955,613,261,812,730,118,025,078,974,273,401,017,004,855,473,662,649,
608,098,996,339,919,692,357,254,688,501,155,551,510,052,820,845,124,037,433,
963,123,924,665,722,938,402,182,036,553,260,132,427,927,414,922,340,912,015,
101,156,060,547,786,298,670,355,923,237,476,533,441,270,582,736,525,272,940,
553,958,849,664,737,292,782,246,405,704,561,611,788,627,479,114,258,228,969,
565,658,102,309,824,190,790,129,702,053,625,053,698,295,504,707,560,695,585,
689,247,634,716,535,087,233,758,931,814,961,876,919,335,224,673,320,232,949,
677,752,627,955,678,488,505,450,119,177,808,843,457,137,609,639,685,604,749,
777,458,649,900,441,196,204,280,452,115,503,883,510,111,683,132,595,730,539,
078,492,220,504,714,610,587,492,106,120,981,675,112,573,294,428,106,086,643,
110,756,493,935,615,306,026,001,365,445,819,463,226,763,506,215,911,892,102,
928,866,896,459,557,032,517,005,428,905,961,026,085,325,423,943,130,091,582,
647,065,508,072,894,819,019,053,830,542,583,125,790,791,819,446,252,383,649,
715,456,620,082,990,245,984,198,390,743,386,907,981,809,804,779,792,704,970,
470,789,037,643,576,331,381,132,132,623,373,717,931,655,689,562,728,984,224,
878,288,984,907,376,909,761,027,891,442,028,522,587,770,902,097,164,426,864,
203,645,589,287,773,974,475,075,367,791,555,576,563,392,696,786,655,272,000,
846,655,157,235,795,062,685,386,231,958,246,189,474,047,736,404,910,288,496,
539,989,450,248,846,494,586,154,457,204,826,743,523,126,390,791,934,924,224,
948,969,208,803,290,085,968,012,183,464,030,788,707,385,075,093,532,898,683,
226,284,712,718,333,530,101,077,082,567,698,685,481,844,372,311,513,341,558,
583,615,650,275,190,515,531,439,542,841,574,957,280,715,693,304,576,449,771,
313,272,419,424,314,095,894,042,712,845,426,437,556,953,143,777,786,622,213,
615,855,541,667,213,972,045,057,622,201,470,777,388,312,583,920,024,084,363,
199,074,147,044,286,452,080,432,152,680,429,094,173,065,928,760,321,574,410,
702,561,736,465,976,397,933,884,185,827,207,567,492,188,678,072,752,432,613,
926,689,917,109,304,642,521,603,473,845,260,861,810,466,580,201,769,803,402,
142,296,345,740,565,751,709,026,912,702,054,050,979,542,462,196,818,855,089,
699,609,665,252,822,207,497,712,163,872,980,822,397,229,876,070,323,119,324,
902,788,059,275,774,535,496,183,019,091,808,433,166,466,141,252,660,933,085,
095,974,699,432,081,479,865,008,080,503,183,949,456,785,012,778,816,309,092,
540,254,690,920,824,290,291,145,506,056,611,337,893,756,790,087,028,539,755,
667,878,673,102,397,538,202,709,954,039,060,977,941,522,782,001,448,890,915,
615,502,648,445,176,405,828,294,466,947,158,761,625,431,325,498,201,735,106,
945,907,965,023,197,636,095,458,393,322,423,347,507,831,300,534,469,916,320,
412,647,181,461,568,564,731,427,121,581,842,711,663,038,059,163,549,762,041,
686,384,985,698,791,394,547,106,599,881,079,513,407,458,127,741,312,957,350,
898,259,901,690,297,675,134,483,122,100,541,713,648,680,557,033,918,463,970,
609,349,949,588,148,772,240,506,639,040,698,706,074,985,287,588,481,933,348,
874,558,912,490,787,058,947,133,727,044,826,320,850,447,043,493,968,999,367,
332,894,333,790,765,255,421,757,883,942,834,238,492,720,689,269,159,163,625,
268,382,014,524,800,200,172,140,440,134,319,614,860,546,441,878,757,722,334,
956,785,690,768,209,856,274,842,189,701,169,708,011,667,331,332,192,436,079,
003,839,603,089,501,184,956,296,465,453,435,448,370,410,928,149,272,500,740,
670,561,963,032,256,070,981,384,225,984,881,787,619,923,536,970,829,133,004,
710,862,145,738,406,019,233,482,806,785,912,263,103,122,531,284,474,007,285,
170,249,367,187,402,170,901,707,836,177,955,763,661,340,035,962,614,072,318,
825,620,525,062,189,681,190,287,895,220,755,964,227,325,300,223,778,928,587,
727,457,807,130,458,612,392,594,239,890,858,287,153,640,905,159,568,721,799,
838,435,370,139,318,610,675,606,599,212,781,858,480,705,195,661,307,350,621,
342,358,972,557,804,555,186,953,013,028,085,739,703,507,821,942,556,433,390,
309,133,663,271,387,851,228,482,376,182,469,646,691,927,202,170,778,841,580,
616,149,363,341,113,513,600,814,946,477,964,128,022,000,838,719,218,859,575,
970,272,763,732,230,128,868,727,992,479,171,305,827,862,603,958,102,545,985,
710,321,975,084,692,635,135,683,413,692,429,396,016,579,677,439,680,679,155,
628,436,022,980,614,364,155,245,285,147,879,148,055,514,042,819,344,106,134,
688,636,138,548,607,654,704,614,413,267,058,335,535,624,170,248,516,821,329,
457,056,799,609,251,374,246,049,116,323,771,929,908,154,435,843,770,988,363,
125,199,860,300,275,679,941,211,568,319,591,085,026,983,816,847,491,990,679,
172,440,932,086,746,263,010,544,770,316,747,607,490,935,612,511,267,323,901,
755,052,092,646,843,932,590,749,683,000,598,607,595,438,891,017,867,703,268,
973,151,224,953,749,130,935,935,651,193,800,959,348,273,583,159,816,513,193,
696,353,525,200,756,300,064,943,542,454,361,670,672,844,268,261,935,864,626,
318,869,758,752,523,515,106,720,877,100,317,530,386,737,292,616,433,961,889,
077,977,061,169,690,342,557,951,194,877,861,335,061,123,445,168,520,143,994,
940,279,767,476,184,230,142,015,145,249,953,371,515,844,826,929,154,991,129,
492,156,043,612,365,911,799,893,146,578,064,092,928,852,054,168,114,089,599,
017,862,313,038,282,952,727,554,645,738,954,113,734,444,916,970,137,069,508,
228,953,819,206,324,801,629,209,420,812,891,552,280,446,259,430,334,317,240,
287,291,139,564,338,858,812,399,644,105,758,024,475,494,757,387,049,194,138,
189,718,746,006,672,531,828,728,156,515,901,226,479,559,793,605,910,835,264,
424,792,502,945,928,901,320,264,711,017,408,380,298,430,275,485,542,447,347,
864,045,051,007,423,045,732,068,508,173,734,032,061,819,571,617,950,779,049,
503,347,365,496,767,998,837,382,759,992,919,495,221,515,073,870,698,386,984,
056,082,976,744,410,129,818,171,898,404,648,438,473,209,980,001,048,148,696,
784,527,899,001,282,143,810,299,074,037,132,739,854,119,920,821,586,866,968,
256,978,977,971,107,536,495,856,570,718,683,116,139,073,210,418,000,582,467,
096,435,228,564,623,013,925,979,682,412,814,669,867,108,400,565,441,557,995,
549,215,862,678,915,467,459,465,456,401,516,764,118,793,819,449,649,813,329,
383,701,652,101,977,690,669,931,206,302,088,610,001,428,025,913,729,330,408,
641,095,169,910,039,233,094,930,158,442,177,871,004,634,585,979,310,874,786,
946,788,089,588,604,690,237,217,632,188,440,282,500,429,840,899,295,785,181,
220,271,636,494,003,815,736,521,177,461,369,708,772,906,337,635,314,358,206,
515,206,242,245,338,818,321,408,790,943,898,245,274,139,557,292,775,423,706,
123,860,709,461,681,398,678,778,217,588,395,572,482,647,332,059,857,114,783,
649,229,190,028,188,759,746,268,944,769,292,305,982,068,603,183,193,515,441,
225,552,859,810,671,232,358,765,649,832,222,961,752,930,844,617,313,626,656,
126,024,507,757,199,809,672,126,863,056,858,415,585,691,242,348,912,044,497,
337,548,215,887,443,992,694,783,525,259,516,625,564,829,152,711,026,602,124,
816,415,774,541,052,906,037,869,995,339,072,767,067,930,737,780,129,966,634,
565,034,851,960,032,470,459,569,137,567,966,428,121,958,834,234,694,158,965,
532,747,056,560,257,671,364,849,142,710,191,050,654,684,835,564,279,204,942,
886,917,529,081,704,651,490,107,811,735,821,308,987,214,310,174,467,053,733,
419,136,675,088,212,877,382,854,339,518,534,456,980,831,351,131,709,268,909,
058,689,285,629,389,193,185,364,068,413,595,812,558,843,735,760,070,588,582,
435,293,723,452,331,887,309,328,634,007,269,950,569,162,491,658,656,063,053,
308,237,716,846,973,699,333,832,547,112,046,912,423,178,011,249,142,749,958,
810,780,251,508,076,476,410,027,179,651,705,766,841,593,167,528,568,023,259,
948,593,508,782,166,112,349,101,038,264,441,966,153,153,174,350,088,284,683,
324,137,315,002,434,924,471,660,936,485,118,328,031,277,327,728,344,861,718,
077,283,017,718,502,028,161,115,441,365,259,323,482,040,862,684,561,715,602,
575,399,721,154,741,409,801,071,005,633,969,071,249,482,458,937,699,665,776,
514,509,725,501,938,980,251,309,245,740,335,585,705,549,771,162,473,194,358,
605,290,574,890,297,695,170,445,333,819,120,368,960,247,807,684,416,599,412,
968,906,028,416,090,824,107,014,608,864,601,906,484,031,788,849,853,945,394,
032,048,406,443,926,774,874,006,129,251,082,047,904,035,979,856,035,534,566,
794,454,050,778,667,364,804,979,259,282,826,455,969,661,790,442,348,033,912,
460,072,204,240,353,599,266,011,668,521,609,857,898,833,379,752,557,808,636,
028,601,493,948,426,590,553,012,072,276,719,719,659,640,525,000,917,492,773,
584,190,414,365,922,146,040,132,032,505,907,416,975,691,425,586,958,349,761,
528,357,768,881,649,219,603,468,855,775,655,091,391,842,086,398,165,171,338,
589,064,539,635,702,930,558,001,749,195,127,805,808,245,759,596,727,279,661,
643,668,652,660,450,057,406,360,107,021,665,044,133,746,168,503,269,816,511,
933,064,535,343,144,282,319,996,917,969,576,385,400,537,021,029,190,031,535,
209,333,404,649,383,897,413,542,903,753,068,002,383,132,620,080,128,085,021,
386,880,024,849,236,697,335,133,239,713,912,445,971,507,604,430,414,134,970,
166,350,290,423,546,657,731,902,397,209,635,947,490,801,724,893,428,358,867,
550,324,565,845,889,968,610,914,087,642,687,013,314,824,986,793,872,527,953,
056,147,167,453,053,796,563,357,849,469,086,300,157,951,176,706,525,382,017,
889,883,193,246,273,914,908,363,922,575,905,485,942,724,991,432,338,946,660,
864,035,895,279,546,800,230,495,940,018,189,794,412,968,578,222,973,456,915,
111,767,335,466,985,496,080,938,353,319,673,255,179,401,474,467,597,334,353,
935,274,434,240,629,271,651,942,458,921,382,723,203,679,402,933,412,489,840,
636,394,763,498,360,858,434,393,152,134,547,228,801,183,651,235,929,660,580,
859,513,148,046,340,842,816,614,608,242,891,052,643,028,229,440,944,775,474,
416,277,549,725,919,686,555,111,759,073,425,786,417,722,529,049,182,661,831,
525,193,627,056,548,899,023,307,360,850,286,772,314,311,676,185,094,980,437,
754,265,023,497,178,574,489,354,000,208,155,441,761,691,440,198,664,713,758,
251,805,809,355,699,037,914,363,157,768,225,696,421,655,131,266,031,577,524,
360,629,847,099,975,603,431,393,214,326,999,943,029,745,050,413,043,360,522,
388,920,004,582,027,056,398,649,641,372,023,071,354,127,692,493,725,179,794,
512,127,959,912,282,428,622,090,267,664,391,538,218,872,279,895,831,835,111,
654,756,520,755,987,076,891,250,967,958,076,131,766,477,008,586,630,493,935,
462,973,715,746,367,913,981,478,338,986,196,927,889,181,465,907,124,188,978,
106,370,534,355,024,091,398,799,996,817,715,732,301,833,569,061,244,621,867,
420,255,863,751,806,670,716,507,745,069,123,660,021,645,173,850,361,102,592,
036,077,134,938,881,957,080,043,526,928,734,399,052,720,182,864,863,514,642,
772,116,356,240,783,149,982,922,913,334,267,283,302,368,647,033,504,274,429,
058,739,744,410,392,706,349,549,852,711,505,256,803,819,631,011,091,288,286,
288,739,854,310,284,791,561,101,708,916,360,967,303,990,619,256,249,638,871,
238,152,996,519,506,340,535,692,573,981,583,861,456,022,996,103,039,021,087,
057,359,504,033,364,747,958,330,693,207,974,440,294,864,536,935,553,036,326,
482,418,847,198,116,000,463,628,552,716,109,348,324,792,371,161,286,971,158,
634,812,043,455,345,405,210,290,306,708,976,614,225,022,009,590,640,511,615,
232,508,536,558,905,935,533,990,128,105,825,581,288,165,523,729,436,059,307,
111,132,199,945,628,738,241,487,064,913,709,679,925,811,794,386,693,567,714,
955,961,601,974,270,121,640,547,686,458,586,736,486,681,683,547,335,688,095,
706,891,424,347,047,845,691,920,855,629,116,761,225,839,322,558,415,673,183,
680,250,293,555,986,501,758,353,778,426,852,821,932,412,294,965,665,897,005,
273,824,716,097,609,262,010,946,181,481,016,835,897,066,948,423,257,673,678,
426,136,155,749,469,158,676,566,691,860,986,722,176,199,892,230,987,216,897,
623,695,437,487,226,190,403,829,719,252,625,210,875,628,467,274,634,020,488,
918,944,563,888,087,313,116,695,467,917,904,683,138,464,791,197,437,001,992,
120,991,318,691,006,727,355,990,462,613,440,875,919,173,655,238,959,241,641,
271,114,041,804,178,606,657,162,829,049,969,575,683,424,206,754,783,744,057,
797,598,263,377,179,546,203,078,946,715,258,098,740,830,002,581,103,473,505,
278,234,655,050,749,727,530,501,119,356,260,637,934,647,223,960,240,402,423,
565,448,222,926,871,700,450,844,061,502,024,756,611,275,584,954,859,816,047,
697,590,332,642,796,974,200,688,429,606,085,145,947,319,691,559,820,306,033,
679,459,917,756,666,204,293,353,479,080,107,844,397,078,925,754,174,731,657,
018,414,483,495,588,628,893,799,518,807,251,298,542,435,199,105,549,512,961,
100,987,364,868,308,529,550,756,246,742,300,798,342,312,227,798,977,448,969,
328,456,006,953,839,662,989,937,944,168,515,546,324,294,773,006,503,547,127,
207,303,415,878,447,513,871,785,437,165,575,297,777,989,697,020,060,216,045,
189,389,077,316,072,831,185,182,403,056,223,284,710,273,466,577,496,309,643,
686,992,414,084,702,758,912,779,249,180,531,253,102,676,784,749,949,997,200,
227,347,552,296,599,261,379,557,458,588,630,334,670,466,952,683,317,587,740,
557,399,992,558,260,771,203,061,596,783,891,754,038,062,843,072,664,294,545,
531,576,882,789,200,910,082,755,805,683,439,617,231,467,640,142,442,088,209,
301,111,457,810,721,937,540,526,672,965,345,421,131,942,444,180,203,084,663,
624,043,027,488,150,568,554,174,335,748,050,702,185,227,425,469,560,148,968,
939,895,606,680,177,351,617,604,460,548,370,450,224,150,952,452,484,703,178,
506,378,114,266,616,991,067,241,175,335,159,383,114,221,737,253,795,831,456,
774,265,852,259,765,688,499,225,024,764,369,787,435,304,934,812,980,411,628,
698,389,041,233,598,759,005,526,150,132,428,094,908,193,928,506,967,966,911,
961,002,417,809,726,045,754,880,800,048,339,821,100,862,305,818,278,223,577,
429,605,484,739,466,141,951,105,520,086,933,972,631,357,712,861,986,585,057,
854,797,492,154,941,585,759,919,473,717,431,762,921,967,835,677,423,472,395,
354,159,623,529,198,086,435,002,731,736,719,317,242,425,941,900,448,749,518,
312,221,996,871,081,277,615,724,974,553,846,945,110,315,187,526,402,198,990,
020,318,581,185,419,779,484,589,428,194,211,237,656,494,871,010,630,035,913,
479,501,188,957,024,530,982,355,579,150,719,035,036,376,056,551,846,867,243,
553,100,254,285,878,388,644,239,888,005,071,407,318,795,227,413,221,071,587,
688,493,161,616,172,040,432,424,484,777,659,049,362,629,729,064,937,484,734,
013,465,282,399,281,587,643,750,211,889,253,964,039,215,681,640,092,883,468,
125,676,321,990,032,988,668,953,326,364,139,236,827,097,230,428,603,987,230,
887,169,894,671,329,942,137,148,787,034,964,137,632,473,189,638,315,681,387,
676,382,387,890,141,257,637,631,457,592,150,065,687,705,449,061,513,348,762,
714,485,051,343,864,860,827,590,099,794,760,851,353,612,258,048,330,469,304,
372,311,304,750,186,382,401,870,573,104,717,495,010,405,417,424,706,591,026,
666,250,822,536,181,209,049,277,229,313,247,249,567,807,199,619,806,082,477,
522,499,870,819,541,547,796,222,379,602,342,564,036,340,812,735,996,802,213,
394,217,972,863,533,131,584,892,824,363,753,333,912,695,421,991,815,145,075,
309,548,030,569,039,218,156,626,070,911,199,226,635,369,042,170,557,106,310,
976,433,367,009,943,474,559,280,340,552,249,329,618,074,281,400,778,665,657,
299,701,848,310,390,495,885,306,112,193,398,802,880,884,179,099,783,736,885,
781,587,019,108,676,411,254,663,035,198,872,525,024,769,516,186,165,509,044,
265,579,701,669,359,120,613,684,719,309,138,274,147,218,169,408,940,404,047,
466,118,697,603,531,359,318,224,893,054,359,061,263,834,497,462,081,947,320,
282,633,507,238,582,183,246,630,972,848,569,761,282,685,628,470,996,768,702,
039,928,188,999,223,883,719,530,241,839,383,829,434,849,083,355,053,657,069,
226,960,548,867,813,843,565,440,045,972,352,006,203,259,631,837,276,404,548,
741,196,666,334,712,522,099,315,385,975,888,242,863,410,850,627,021,592,154,
062,257,513,855,627,985,716,746,625,256,221,612,518,236,630,366,293,903,856,
487,007,537,333,725,341,270,305,342,911,327,379,746,802,115,368,001,392,677,
454,719,865,205,997,682,587,743,674,431,753,393,408,069,174,909,428,829,929,
633,447,143,141,913,425,323,414,679,688,462,531,872,895,176,165,079,484,441,
643,038,714,572,371,598,845,817,560,889,775,711,522,278,874,825,791,168,757,
098,411,999,672,421,265,748,309,862,984,313,862,504,918,611,012,110,120,982,
005,708,976,027,278,155,542,754,624,626,998,019,013,612,348,328,786,617,409,
210,390,972,687,892,044,271,764,727,266,755,963,855,720,269,481,109,521,964,
525,263,474,634,001,546,724,791,809,723,957,466,826,388,630,984,691,410,772,
967,088,461,481,992,256,275,853,760,988,949,564,274,822,958,745,867,565,577,
726,720,011,032,713,674,840,719,842,447,736,249,840,194,471,166,214,637,696,
663,873,694,924,705,144,864,428,654,279,574,908,470,993,783,528,921,008,460,
593,661,106,177,581,343,604,951,112,157,776,719,312,045,016,934,362,784,952,
042,154,041,140,504,490,479,762,338,384,380,789,888,308,853,819,475,323,201,
225,436,513,290,838,361,358,023,137,799,706,463,067,711,024,857,350,176,207,
564,201,688,662,730,066,356,329,952,074,554,844,292,917,764,639,209,617,228,
834,742,574,473,894,592,332,183,534,623,138,919,703,316,981,682,485,023,092,
258,602,396,050,145,292,478,659,009,395,648,898,069,136,997,113,686,597,019,
389,889,806,846,712,006,064,895,795,215,520,906,975,485,052,465,386,957,786,
694,331,615,195,929,439,149,328,979,111,060,447,933,177,762,140,256,094,488,
863,502,198,503,871,755,738,025,423,718,287,476,229,862,392,049,261,457,259,
488,736,522,737,238,108,802,983,202,439,879,867,574,691,226,153,239,997,452,
885,476,452,598,678,652,381,282,545,640,635,926,040,255,565,107,620,128,323,
695,530,709,415,371,676,687,700,523,583,144,529,329,034,677,340,527,342,525,
171,929,583,749,947,891,485,746,356,835,074,404,761,019,396,871,872,774,990,
513,305,230,602,701,094,687,891,343,165,680,174,519,984,901,021,156,189,885,
468,019,344,838,830,181,980,390,290,200,531,556,990,502,047,323,106,978,346,
622,418,163,102,444,847,228,796,143,985,903,283,062,733,310,854,911,557,660,
887,381,258,635,805,796,056,927,009,335,883,591,981,959,944,510,277,851,363,
359,397,521,038,472,993,894,113,721,155,003,441,433,538,293,617,251,192,410,
649,063,029,502,966,013,903,201,425,034,611,716,304,657,936,319,436,049,088,
958,928,333,408,770,660,740,180,420,718,225,721,559,132,585,443,638,817,300,
690,962,337,743,781,801,734,123,793,513,370,893,947,699,977,200,413,301,337,
251,204,126,285,997,225,173,792,138,677,808,564,295,730,084,257,253,490,896,
361,702,608,956,609,351,629,089,582,884,525,852,051,035,206,120,103,550,916,
403,609,871,640,597,156,343,920,515,431,617,847,187,901,398,862,432,149,445,
756,027,017,812,249,259,092,867,575,211,649,919,234,044,973,476,499,565,510,
833,851,835,946,066,889,526,392,972,387,418,035,934,517,961,913,019,923,116,
937,093,912,997,954,439,537,058,601,763,734,216,920,957,053,218,871,661,270,
503,709,520,156,714,039,958,864,572,707,587,862,207,113,587,478,891,430,238,
252,327,001,326,240,941,174,780,203,318,344,575,124,402,284,456,535,122,335,
478,611,249,795,382,542,536,816,147,713,678,506,055,202,429,076,891,497,044,
062,306,780,247,427,363,983,165,640,447,620,117,759,473,567,021,607,387,109,
242,969,800,355,487,074,191,411,719,496,094,822,289,024,190,346,541,063,093,
285,331,392,434,039,667,625,103,442,482,774,407,337,891,295,411,304,113,992,
930,517,108,818,504,204,110,015,388,930,475,872,143,125,594,082,206,881,506,
361,114,856,076,769,949,065,462,024,628,066,046,926,647,093,689,896,671,308,
587,742,143,948,028,625,026,034,414,795,712,333,479,952,626,811,030,473,679,
378,938,987,412,332,559,710,760,466,317,506,387,458,793,704,791,973,774,975,
356,019,032,917,944,606,548,301,094,815,874,401,650,043,798,894,549,223,178,
313,393,399,200,102,305,748,334,831,353,308,661,940,448,152,078,427,570,171,
241,263,928,268,601,153,408,289,401,433,215,037,135,389,379,359,763,179,161,
792,122,076,684,677,254,919,282,341,825,235,865,400,850,671,398,683,571,146,
220,419,693,169,519,201,081,682,992,830,022,131,660,792,148,898,564,177,328,
850,031,437,212,397,116,158,804,984,552,027,299,813,475,603,569,871,911,437,
714,174,225,023,321,555,230,103,272,726,865,972,415,183,006,578,801,923,330,
309,764,071,447,117,119,228,330,844,704,104,861,365,374,729,620,103,322,808,
622,277,155,929,724,331,747,423,574,840,383,445,965,595,725,238,260,361,692,
880,366,365,170,197,613,898,045,320,493,833,257,508,360,555,256,140,161,250,
768,724,595,822,997,606,558,180,848,466,328,098,558,176,618,149,773,939,892,
347,081,604,539,578,277,244,727,686,323,602,327,052,456,240,373,801,632,815,
125,900,213,380,292,519,617,619,089,449,201,890,758,460,819,876,100,007,109,
368,558,078,466,927,384,182,598,872,858,454,801,639,864,888,230,071,195,590,
607,246,448,262,197,511,333,449,091,078,124,662,488,113,135,002,020,774,511,
736,414,214,466,196,540,036,845,777,552,437,611,193,479,351,074,808,851,095,
130,933,922,902,694,007,238,349,805,334,759,742,330,713,548,078,434,409,764,
216,626,773,160,070,382,336,342,228,128,607,031,018,065,037,162,733,168,981,
735,909,262,013,592,376,070,453,992,493,518,768,250,476,434,130,711,872,597,
670,406,342,313,911,852,306,978,874,866,725,628,227,182,545,253,108,336,115,
810,291,753,636,866,629,030,750,440,880,026,151,482,444,392,118,174,529,972,
574,729,353,742,948,683,274,024,357,769,134,520,489,787,248,707,450,582,035,
217,162,965,203,877,667,127,595,157,804,631,736,528,281,983,072,449,098,792,
201,150,916,632,734,821,644,519,952,477,589,658,238,216,344,548,518,840,894,
223,995,079,558,447,332,100,485,035,672,051,859,449,992,863,338,671,889,785,
756,267,884,316,462,202,802,697,324,096,103,980,869,668,962,056,235,594,234,
196,428,794,011,428,852,564,521,872,700,293,926,642,023,170,207,364,499,861,
262,565,273,998,918,633,223,313,580,306,090,731,982,581,321,947,240,487,577,
449,450,841,110,497,061,122,822,936,570,663,873,308,185,511,799,123,945,778,
663,876,295,972,810,704,037,875,666,207,268,431,570,197,866,405,199,496,054,
688,487,326,066,122,556,436,288,714,009,491,704,286,092,979,387,901,873,592,
819,695,024,614,225,320,819,466,585,300,889,806,226,685,991,600,230,390,312,
797,820,113,816,154,583,962,127,487,309,899,649,175,079,812,163,309,032,144,
433,502,740,126,718,821,318,750,721,944,082,316,395,507,028,264,199,718,492,
567,042,663,683,405,381,124,581,717,546,400,803,109,615,344,477,550,200,020,
015,259,545,084,319,358,621,662,905,493,903,836,800,554,050,340,610,299,039,
088,126,912,144,185,533,743,555,389,219,370,387,260,128,202,481,342,277,597,
989,788,202,922,667,985,568,075,970,273,044,207,261,967,770,513,408,538,753,
196,998,038,941,268,951,642,621,325,812,474,998,226,726,882,940,552,730,628,
369,286,204,261,218,211,631,421,658,048,503,664,421,197,084,587,720,707,188,
135,393,784,732,958,597,251,653,834,448,839,757,735,134,503,500,659,820,543,
412,398,667,870,362,949,690,644,079,331,353,214,945,365,846,270,394,849,372,
913,060,367,091,307,932,022,331,105,943,143,499,463,668,346,602,013,023,496,
918,943,646,791,103,459,168,988,579,990,656,831,960,449,082,785,467,970,528,
660,312,461,417,026,126,334,345,691,239,938,923,993,214,112,586,095,758,502,
737,781,000,909,357,243,823,952,895,307,321,326,370,520,046,679,821,299,732,
201,673,531,110,747,651,651,988,465,579,871,787,162,827,074,740,410,071,818,
037,969,565,890,625,299,898,515,784,343,017,790,875,615,603,259,345,087,252,
833,323,149,079,156,899,043,357,266,412,903,296,942,597,759,945,395,665,038,
651,049,129,933,083,430,102,313,222,365,841,703,093,106,907,824,979,950,610,
871,734,725,150,859,108,918,857,083,496,041,627,651,759,325,077,465,110,913,
133,769,582,993,836,277,943,003,949,861,441,953,692,479,800,942,538,268,326,
337,786,062,168,193,167,315,740,191,294,320,572,130,761,676,540,824,715,084,
583,105,326,763,433,686,586,801,171,569,934,135,929,231,601,773,036,341,413,
820,347,137,758,259,355,850,948,863,615,699,801,230,203,920,158,890,955,776,
682,460,825,087,740,464,987,810,195,189,097,112,112,701,679,506,013,569,784,
791,559,487,542,583,340,059,917,447,443,132,303,569,512,155,519,867,057,631,
783,649,642,567,181,629,165,807,207,114,692,548,397,261,646,058,652,960,530,
775,152,346,906,997,080,979,634,681,937,293,274,528,273,422,426,040,020,229,
702,823,731,483,358,772,783,157,455,917,383,858,254,521,985,296,293,344,775,
204,155,373,797,167,417,639,609,380,636,657,586,411,533,726,122,785,318,763,
498,312,876,274,430,342,786,833,178,366,517,664,401,772,543,469,874,910,330,
724,237,824,653,548,432,535,062,730,006,137,113,923,574,267,669,273,323,408,
772,403,734,242,784,993,767,908,484,066,395,461,172,604,681,725,421,450,721,
646,275,442,823,068,272,677,930,887,289,263,321,678,229,203,963,105,955,313,
495,183,634,024,008,417,398,523,911,506,308,568,709,114,304,881,384,326,032,
501,872,458,389,335,208,391,844,170,740,204,917,813,427,923,078,458,807,011,
128,523,013,451,819,932,045,531,331,309,293,473,304,344,059,315,327,088,272,
143,553,415,779,354,491,507,096,668,544,269,243,552,443,679,744,295,026,051,
614,938,675,388,635,304,971,321,878,762,389,839,504,625,781,725,103,606,444,
717,926,076,363,045,375,450,447,320,038,912,623,250,883,788,393,793,117,054,
759,220,073,632,923,402,030,956,839,971,422,207,384,449,010,689,471,007,996,
406,619,841,597,842,606,073,589,339,952,150,002,017,710,123,905,898,737,225,
678,136,941,924,675,641,671,515,143,134,848,620,746,847,917,462,347,284,963,
524,459,166,128,627,767,634,913,449,280,413,314,013,569,328,781,043,013,657,
720,686,796,678,061,680,783,702,762,279,249,915,105,593,974,054,037,297,025,
024,927,076,112,749,157,281,083,966,249,288,151,718,299,211,493,394,498,203,
282,608,906,201,300,795,112,675,063,499,538,291,402,583,035,292,618,545,621,
504,102,495,748,950,499,534,661,503,176,802,673,401,242,975,850,094,550,216,
745,805,073,173,785,018,283,389,975,463,743,284,409,895,304,262,454,049,855,
549,208,178,640,439,097,307,587,375,068,220,462,095,211,687,974,931,515,486,
534,475,996,358,653,331,417,119,463,423,760,966,332,557,659,310,486,489,088,
816,591,823,788,219,993,171,464,932,670,746,409,702,422,426,642,358,972,163,
147,005,647,313,075,839,044,474,384,288,636,500,999,461,967,978,683,760,395,
854,203,431,393,891,038,254,032,984,366,561,871,352,768,060,120,520,657,809,
021,244,053,521,844,702,819,173,319,940,005,776,733,983,165,835,242,599,422,
478,461,436,705,147,157,734,089,143,200,749,460,166,927,442,647,850,741,000,
472,425,320,534,083,249,842,660,598,563,897,508,559,772,248,472,826,438,269,
049,584,310,959,577,742,627,180,815,003,587,100,337,678,837,849,210,162,610,
103,187,625,413,893,067,644,149,137,656,120,783,640,282,110,734,536,410,814,
917,469,252,464,036,412,643,675,820,388,959,828,312,065,598,736,200,597,804,
329,237,794,118,940,816,220,547,118,505,332,532,745,593,741,638,255,278,164,
614,164,884,214,762,538,431,550,208,978,965,961,609,582,669,219,878,372,066,
839,781,717,155,755,660,095,787,813,327,004,837,038,413,866,339,128,456,200,
708,697,031,062,638,024,130,366,358,304,090,348,604,334,859,365,113,059,172,
010,507,886,755,218,817,012,990,670,246,523,364,296,789,456,262,985,789,140,
782,686,070,168,921,326,268,942,095,228,524,144,599,625,144,189,686,380,030,
468,508,482,171,310,090,457,661,229,637,393,588,266,501,605,349,142,855,027,
400,365,171,099,139,488,157,380,301,086,044,806,115,024,402,927,354,038,676,
278,263,898,075,514,956,032,542,513,936,467,505,613,426,610,660,199,170,644,
392,785,470,227,009,124,501,426,288,207,405,884,170,347,594,685,929,271,323,
451,810,510,999,174,830,332,643,312,634,907,210,770,755,244,624,982,074,117,
574,413,067,043,782,755,688,795,535,014,398,105,030,337,557,094,888,331,471,
147,105,702,253,185,036,882,632,457,883,809,342,460,922,521,602,461,987,857,
079,128,945,678,467,654,206,557,717,420,168,144,143,843,736,750,940,009,143,
868,425,201,031,118,462,324,853,733,171,880,376,166,868,235,882,024,035,682,
906,571,746,871,421,578,225,820,627,677,085,747,285,819,376,556,379,940,960,
650,586,216,818,007,917,339,796,365,606,225,356,737,059,201,955,168,996,994,
410,808,692,446,765,611,154,654,714,529,039,189,124,774,711,309,096,322,357,
861,984,996,617,722,951,595,982,837,441,834,489,567,469,789,751,107,794,868,
481,620,302,886,245,377,629,859,174,422,795,313,748,759,839,846,442,518,802,
299,891,578,156,308,261,025,823,732,661,017,365,709,703,081,283,269,577,661,
909,822,110,876,038,240,453,991,166,506,709,286,411,737,158,839,675,206,977,
251,001,451,454,489,710,649,522,028,825,179,532,201,764,514,179,269,633,622,
855,802,901,785,806,060,687,253,108,939,213,684,272,697,843,188,507,777,411,
457,235,000,105,542,508,491,408,115,659,118,384,094,998,528,903,775,392,459,
206,552,099,849,141,539,568,516,423,156,589,045,862,673,145,908,297,752,220,
243,488,641,625,272,292,227,132,408,150,459,482,076,296,858,430,473,027,997,
233,067,708,470,812,971,111,860,105,080,232,915,485,024,358,965,642,578,938,
293,425,195,837,240,607,875,185,675,287,379,008,158,181,852,721,777,228,640,
330,448,675,151,232,495,570,397,648,195,958,032,529,083,606,898,466,487,919,
094,077,718,796,188,468,289,207,361,706,680,041,638,045,821,416,402,765,412,
036,353,946,009,464,068,481,307,718,521,114,860,572,349,138,063,379,922,073,
018,914,645,882,443,547,085,129,509,339,406,372,037,158,108,724,023,982,191,
825,210,433,569,156,712,542,764,766,857,513,598,917,539,723,278,054,663,274,
003,958,694,974,990,206,065,512,774,866,959,260,930,464,899,315,192,520,485,
426,593,350,744,993,498,057,758,682,541,365,248,674,620,111,054,350,868,959,
812,896,958,534,013,572,964,699,859,217,179,269,372,115,007,805,749,290,676,
881,328,626,763,290,406,016,300,827,010,618,907,667,455,081,409,469,087,170,
557,185,901,321,502,363,671,701,934,683,864,605,977,964,858,997,502,218,803,
342,772,971,105,674,251,816,211,832,168,949,012,287,123,888,853,982,906,931,
881,189,801,495,488,974,562,748,153,237,642,261,164,974,016,822,271,012,700,
403,705,091,449,220,102,433,825,141,211,988,592,605,218,867,191,800,779,367,
116,590,789,534,469,049,552,317,409,856,416,480,834,139,653,553,797,517,778,
180,819,556,686,585,558,799,526,060,366,129,297,061,873,825,298,266,026,764,
689,917,912,118,599,157,568,905,961,031,968,210,753,203,039,751,127,596,013,
084,375,629,580,445,332,224,454,432,433,363,175,550,148,002,223,267,668,361,
342,320,673,666,416,207,567,482,320,763,767,373,064,251,684,690,443,365,081,
623,533,025,353,965,530,913,433,585,677,880,225,170,492,939,457,794,782,095,
817,919,365,606,434,249,351,647,258,063,033,655,475,182,790,436,376,302,123,
991,252,959,563,653,337,073,273,073,600,420,089,250,974,415,513,571,482,796,
795,588,051,983,881,154,917,456,396,743,312,878,040,088,725,758,681,972,286,
710,169,796,475,375,959,527,035,461,737,324,009,610,932,404,552,234,523,507,
954,402,599,559,932,513,157,063,813,932,439,776,907,185,470,821,190,076,197,
070,617,255,272,634,320,465,573,430,583,612,161,599,830,901,704,098,612,079,
359,108,860,793,174,759,353,620,187,534,518,422,360,900,775,082,917,542,257,
221,935,639,971,083,617,239,073,398,325,120,780,560,904,958,320,394,096,491,
443,560,382,638,233,339,295,827,656,363,233,046,949,749,762,450,524,080,126,
988,280,659,074,172,723,613,851,637,049,799,240,507,591,728,006,137,534,281,
756,581,262,532,480,385,563,351,220,967,968,503,428,342,190,035,091,962,681,
934,145,438,266,531,181,703,308,318,420,005,742,140,785,216,579,830,924,738,
519,568,964,799,186,913,132,538,416,037,773,432,693,979,833,711,710,290,939,
312,795,714,499,506,795,044,262,907,109,848,124,051,757,186,880,714,552,654,
056,665,128,466,126,790,250,108,600,650,231,648,635,770,061,638,559,653,010,
929,010,280,681,623,318,391,314,093,038,287,701,610,133,798,862,217,564,174,
441,922,709,883,252,162,795,831,950,258,269,139,172,365,831,414,480,870,120,
352,174,145,965,513,000,387,605,089,743,634,277,188,197,045,189,346,979,845,
573,303,398,092,224,249,501,326,675,545,052,006,354,628,546,286,111,203,620,
504,235,899,264,361,991,046,007,618,708,202,367,307,907,775,385,591,023,019,
614,456,822,031,310,171,886,024,925,221,896,195,939,002,545,947,773,802,773,
700,987,549,763,850,665,378,961,108,365,358,275,048,257,932,504,092,530,933,
740,538,982,542,553,182,779,806,069,440,819,154,605,504,595,941,790,934,265,
476,938,249,143,673,155,993,634,690,569,508,664,644,608,079,590,371,170,751,
078,562,670,151,595,419,859,401,261,556,974,127,925,502,025,707,765,173,266,
164,732,196,732,246,352,308,336,014,396,648,620,043,053,572,443,021,571,019,
174,867,308,260,809,372,958,254,170,933,716,721,214,786,457,247,555,829,521,
478,221,795,763,192,331,596,174,600,605,912,422,419,374,829,461,326,634,485,
681,646,476,646,158,682,240,214,297,215,298,432,103,981,972,879,247,235,309,
822,268,756,472,348,517,952,641,095,596,176,267,146,069,313,394,630,886,252,
085,304,769,378,320,964,687,814,782,384,899,927,511,253,990,246,850,926,113,
500,258,701,012,796,679,077,824,400,735,636,872,881,766,425,461,518,814,922,
123,239,891,254,610,621,396,015,920,818,723,285,313,028,375,314,871,035,900,
500,246,384,039,179,405,316,855,703,606,817,152,566,394,777,123,573,398,099,
883,653,643,973,454,289,423,024,324,724,181,264,719,681,744,733,376,183,878,
426,913,423,610,275,936,450,906,314,179,193,997,741,070,615,065,989,385,753,
440,775,799,112,262,212,590,105,242,615,470,190,150,847,327,697,980,293,633,
899,129,006,922,878,176,794,016,436,937,180,039,011,627,723,351,445,317,522,
116,462,791,868,675,567,775,645,104,182,232,981,039,334,312,276,222,927,802,
244,397,456,383,456,749,522,221,926,189,765,933,449,870,271,939,140,787,108,
056,574,005,311,865,359,908,411,314,190,273,576,907,800,781,092,172,605,942,
369,819,733,794,743,243,215,717,811,481,446,676,256,499,332,704,499,845,312,
614,353,170,508,260,291,534,344,910,657,037,947,002,367,665,290,859,778,621,
588,409,613,727,653,782,466,208,929,020,678,701,786,568,242,232,302,377,274,
080,986,685,985,834,567,306,707,870,931,231,096,397,679,943,170,836,184,297,
846,040,846,698,646,301,632,342,827,275,019,804,435,311,984,234,132,605,659,
663,682,449,783,819,314,741,434,703,722,564,061,687,905,345,321,329,962,249,
378,081,905,230,760,664,903,153,665,729,650,605,461,528,810,455,997,118,696,
022,905,953,963,895,107,745,353,026,627,020,709,161,667,322,963,559,847,878,
989,258,907,978,027,760,618,963,215,695,004,917,140,356,330,442,668,702,549,
642,749,022,699,352,203,316,698,104,293,679,393,977,497,863,057,454,877,814,
239,858,833,872,935,191,001,287,487,054,145,281,402,062,640,995,168,167,066,
444,313,990,828,691,232,864,150,203,151,868,476,153,902,677,892,283,733,975,
586,998,142,087,753,966,089,570,369,112,325,257,586,135,746,474,302,259,149,
658,555,555,187,256,843,907,209,701,018,082,541,552,871,599,100,242,170,266,
604,269,252,267,950,012,449,302,557,301,434,114,233,823,342,088,243,367,833,
399,745,589,626,245,500,526,959,446,198,688,353,557,800,279,470,842,787,558,
625,456,065,623,449,482,040,322,015,708,160,820,371,292,122,289,089,411,411,
470,108,493,464,527,048,527,324,499,491,976,249,084,192,844,599,789,455,192,
036,121,233,553,164,887,552,031,862,959,958,064,072,639,761,129,728,200,871,
583,388,607,866,407,641,227,747,353,939,896,943,136,710,548,571,052,865,630,
828,176,865,464,140,818,191,570,908,523,286,253,297,522,729,466,971,055,280,
317,159,084,663,855,143,672,393,067,384,617,683,846,996,367,784,699,187,788,
008,149,787,753,171,631,063,731,804,533,485,598,079,291,062,646,847,230,797,
946,990,260,315,003,372,637,235,250,674,401,833,048,718,021,815,715,303,393,
648,929,912,595,638,812,942,667,343,060,543,618,622,210,823,265,692,077,548,
297,433,455,218,885,319,695,837,367,737,386,344,089,047,207,598,234,200,394,
858,688,270,545,789,902,795,738,369,737,871,580,962,746,275,170,519,793,250,
685,246,296,811,588,293,844,189,887,544,146,726,215,950,580,375,123,494,406,
912,168,278,466,096,038,523,269,799,767,364,752,278,225,425,854,633,138,468,
574,767,574,504,169,736,917,472,334,670,233,086,127,003,976,226,693,677,319,
809,366,069,522,552,508,035,006,802,488,695,528,650,131,350,439,226,918,516,
645,233,041,625,903,595,456,179,974,533,495,183,717,094,632,049,421,681,497,
357,820,650,522,070,473,731,231,986,855,262,672,138,495,431,277,313,189,839,
376,795,390,851,889,595,261,364,934,993,471,121,027,857,379,224,589,601,175,
394,817,411,556,799,837,520,076,527,927,546,104,778,074,408,153,169,853,640,
026,222,859,311,350,566,852,462,995,424,771,841,047,850,620,162,477,963,172,
922,842,826,215,156,820,165,427,237,438,053,390,066,929,816,942,407,850,319,
043,631,585,241,725,926,137,957,852,050,688,860,815,403,964,885,730,578,067,
717,360,454,260,764,773,653,155,900,449,959,682,999,052,865,018,841,848,038,
186,461,972,762,360,615,139,104,043,382,115,625,768,330,668,596,219,276,802,
009,388,351,755,781,862,077,412,023,146,450,511,996,018,601,795,422,608,108,
299,620,760,946,445,548,758,155,958,434,289,871,056,513,982,539,203,124,016,
942,070,388,849,099,052,465,322,352,481,112,620,172,807,240,125,469,808,830,
557,875,493,866,361,745,059,719,349,449,427,165,520,212,795,534,046,002,138,
386,828,892,539,053,971,592,977,493,240,918,538,108,260,163,446,916,136,518,
376,203,865,059,917,182,006,441,839,227,989,933,598,082,418,330,319,353,881,
187,021,745,637,121,432,810,907,413,448,279,838,497,201,884,009,295,472,414,
122,749,655,375,438,762,307,220,486,016,573,712,123,986,493,137,816,633,524,
075,933,537,159,258,968,980,979,634,079,008,815,368,763,204,854,514,613,494,
410,900,804,109,757,982,117,163,281,559,183,449,069,675,166,458,143,358,951,
037,664,954,174,925,630,872,250,541,713,598,671,353,529,756,632,727,823,621,
170,277,956,507,727,818,537,973,703,773,169,639,293,642,898,687,379,539,303,
295,479,082,387,211,243,747,401,709,320,634,309,499,401,941,371,018,227,335,
940,374,067,701,066,623,243,371,692,603,209,258,315,592,154,568,185,177,863,
695,276,943,506,208,695,536,069,734,736,035,034,731,294,775,834,778,485,571,
472,694,217,761,637,205,596,614,566,529,320,483,858,656,963,857,950,664,587,
410,509,981,523,606,529,531,009,264,802,764,046,494,378,429,131,832,563,693,
481,224,272,543,878,711,420,360,454,747,625,696,871,380,934,455,728,468,269,
406,467,499,723,417,308,325,427,038,355,701,954,252,130,890,888,819,779,199,
005,715,768,160,674,977,576,634,882,961,927,680,289,470,511,258,608,338,790,
297,514,569,015,062,913,752,049,122,088,808,124,989,270,013,604,239,701,603,
876,521,268,015,638,930,358,456,165,396,793,733,040,460,311,228,532,297,487,
104,297,614,370,649,174,026,449,944,109,462,890,862,809,703,980,951,976,545,
737,477,274,887,489,056,765,622,225,157,697,432,853,907,799,769,447,714,276,
453,473,809,671,068,395,017,276,557,104,705,847,403,253,347,706,223,728,346,
492,653,076,579,045,537,989,046,694,881,844,662,772,470,776,900,314,161,258,
022,431,554,435,604,440,986,730,539,666,023,708,596,162,868,522,338,607,049,
159,034,954,748,968,900,215,824,036,566,995,597,114,623,641,369,092,552,794,
186,900,117,300,540,117,125,430,600,824,201,048,826,799,046,943,449,537,075,
246,151,857,434,635,805,002,277,913,430,102,687,544,067,947,838,537,711,574,
124,071,157,134,770,778,200,245,258,083,627,227,248,552,881,038,530,010,368,
957,904,922,671,197,187,129,979,642,094,075,670,836,722,588,744,799,734,280,
776,197,562,213,471,213,282,918,405,712,009,655,055,733,041,052,798,777,575,
803,115,317,556,211,290,657,535,566,190,412,866,762,019,788,897,716,662,183,
613,270,521,664,549,853,803,354,891,592,339,998,722,940,896,006,585,970,954,
982,420,092,967,530,713,139,738,414,349,326,633,921,427,373,056,976,177,207,
365,066,133,877,582,295,041,582,326,170,036,848,535,366,485,177,172,113,053,
843,041,077,304,764,436,435,399,322,270,130,438,103,674,395,621,675,099,405,
900,003,574,919,847,232,861,490,260,965,815,398,646,479,279,896,345,216,164,
762,451,718,385,889,350,595,965,374,948,486,448,905,679,505,502,208,537,682,
407,800,764,388,082,810,229,059,835,079,768,721,755,404,873,120,489,513,210,
156,493,234,472,243,876,923,471,334,324,088,995,407,008,191,440,639,324,677,
549,930,963,204,353,270,260,863,711,822,982,877,253,682,049,292,806,261,498,
112,665,329,443,006,223,442,597,516,570,944,669,257,617,409,629,742,621,624,
817,567,533,306,530,727,791,075,944,813,821,674,797,815,954,076,245,886,775,
678,145,940,541,885,214,659,195,058,408,445,730,788,717,909,187,200,996,426,
487,642,602,121,329,597,805,660,889,416,154,056,057,832,519,959,645,742,128,
739,463,364,277,601,158,271,874,721,050,711,805,002,281,478,660,342,892,267,
262,308,027,724,538,318,606,827,654,593,603,026,482,183,668,383,187,327,872,
112,693,220,182,940,670,284,886,210,677,745,720,789,846,600,900,674,454,357,
436,257,625,260,563,691,608,157,152,757,165,167,742,594,013,234,557,281,060,
909,095,309,105,467,078,986,336,527,723,043,751,940,948,177,306,425,448,826,
827,424,381,799,137,194,811,040,836,253,703,480,485,899,723,923,223,166,297,
806,557,528,109,954,819,960,972,508,744,165,443,701,851,470,826,516,228,791,
517,586,035,655,982,787,772,492,916,180,735,202,205,184,724,873,957,805,802,
937,564,377,879,373,651,419,677,250,435,223,884,668,882,166,131,305,732,076,
351,492,660,601,825,899,785,587,546,879,833,547,573,608,931,673,256,287,913,
013,623,450,515,559,199,526,871,824,082,770,342,969,117,843,740,878,997,951,
032,379,694,243,628,338,260,549,045,910,892,914,386,809,392,272,849,531,401,
343,676,557,812,169,447,877,707,779,341,735,996,136,434,616,609,687,738,853,
941,670,771,975,514,885,657,478,963,778,913,276,026,419,076,803,156,558,484,
375,902,411,566,907,358,230,645,321,365,833,709,355,208,376,491,583,153,508,
003,138,239,487,210,231,441,562,883,398,768,131,228,886,512,467,906,602,088,
759,530,069,189,978,932,585,277,691,628,404,032,914,573,990,199,804,376,250,
566,932,068,101,070,885,892,674,875,786,376,621,236,590,973,985,867,528,788,
209,235,398,715,011,331,075,320,868,805,266,362,834,947,440,463,362,333,904,
637,109,281,353,041,857,427,014,068,628,123,713,415,292,411,550,768,285,019,
485,711,156,683,127,585,085,571,555,803,463,275,234,485,521,010,953,575,718,
232,250,872,543,124,295,202,928,694,409,104,586,684,289,164,858,700,975,734,
637,554,012,445,341,926,674,517,230,489,936,946,079,063,525,659,523,195,276,
326,867,643,109,424,006,402,736,616,595,857,325,641,050,791,018,179,622,314,
093,361,827,606,652,862,463,986,499,848,550,928,488,908,940,575,567,986,348,
917,051,103,916,426,557,745,270,243,594,040,432,747,985,515,238,179,254,861,
616,373,570,972,292,673,426,447,391,035,387,574,051,510,445,489,563,916,021,
983,433,035,982,905,652,670,037,206,626,181,914,436,325,764,976,682,948,733,
119,862,555,692,761,349,403,819,589,830,538,947,392,031,672,283,654,733,793,
874,544,193,822,362,922,250,888,701,774,735,267,662,975,231,670,579,382,420,
127,473,469,576,186,345,688,965,400,167,117,436,841,754,957,032,423,528,212,
644,671,255,075,025,399,845,439,029,354,854,642,309,300,555,536,015,814,956,
419,152,506,387,404,263,934,011,222,170,803,895,707,637,235,864,963,550,078,
730,817,849,493,320,723,765,918,187,294,670,161,247,330,351,108,775,268,904,
446,555,693,519,937,285,959,731,570,847,870,335,758,485,998,584,945,908,684,
344,734,275,465,844,612,829,541,669,841,729,882,849,506,121,452,849,631,071,
531,613,764,488,878,036,129,286,900,363,160,060,676,697,100,609,102,541,158,
135,514,433,722,397,311,678,587,851,123,346,296,859,800,206,475,274,035,198,
725,309,311,385,271,094,906,668,266,429,746,642,722,401,171,718,797,235,055,
395,397,912,579,984,402,337,128,688,942,656,113,635,488,331,528,436,741,743,
541,983,545,975,907,180,014,538,694,426,383,103,552,365,907,013,780,367,777,
055,131,885,578,723,633,503,723,934,267,290,600,108,066,594,231,488,994,884,
741,106,185,508,220,855,270,225,898,535,649,062,959,030,223,874,403,931,180,
320,681,023,192,666,541,345,445,929,408,227,267,852,746,001,371,302,573,842,
287,687,938,678,801,416,619,692,358,112,405,432,600,561,234,870,243,024,540,
773,582,170,544,152,115,326,998,335,544,755,416,087,594,692,391,269,293,150,
261,864,899,832,156,794,915,691,458,691,076,209,861,737,180,335,870,236,797,
335,773,138,546,951,129,652,507,060,669,622,917,706,506,890,946,195,297,755,
043,684,501,704,290,305,779,569,062,027,965,036,461,863,536,965,742,138,005,
698,422,998,975,345,794,411,465,809,337,083,969,022,232,892,583,018,347,751,
751,301,724,093,645,559,131,643,440,850,545,725,694,490,600,460,889,107,392,
615,893,417,008,401,152,778,326,993,052,651,691,702,467,563,361,766,708,747,
176,818,651,707,478,324,238,782,532,932,898,746,930,624,634,818,489,314,016,
187,437,937,089,108,266,808,292,811,091,270,269,978,676,963,642,554,721,173,
277,417,135,443,657,515,456,906,882,036,915,430,928,143,712,886,088,466,436,
788,636,148,472,608,049,187,308,769,954,748,450,653,132,575,177,876,731,108,
593,338,449,031,783,932,195,291,097,128,778,431,904,706,709,360,857,541,990,
958,661,978,402,745,558,047,053,741,034,567,317,224,059,016,576,570,050,497,
635,458,180,541,349,516,935,840,973,965,717,408,999,651,844,303,376,827,509,
693,677,308,880,149,275,894,888,404,456,374,415,526,793,153,052,234,870,616,
357,247,951,140,254,047,618,728,592,645,698,051,989,183,792,877,042,234,611,
835,995,441,181,558,084,402,164,645,089,831,286,957,265,566,709,205,755,175,
773,084,823,302,195,202,566,324,906,585,628,966,461,279,277,934,959,350,798,
068,374,043,583,045,430,605,986,610,330,953,347,110,811,097,734,175,370,941,
416,697,010,438,934,371,209,792,757,155,402,627,683,068,848,352,463,949,323,
580,829,400,168,120,664,862,258,539,137,834,096,934,335,846,736,363,809,939,
929,376,859,028,607,574,357,803,626,221,627,904,989,221,044,810,134,332,904,
196,856,041,744,372,734,673,912,390,961,121,701,913,490,387,884,950,907,470,
981,044,078,632,571,555,647,699,088,045,544,945,784,297,434,828,375,904,877,
455,349,504,790,141,588,390,581,404,222,545,778,714,815,779,602,586,631,065,
362,249,389,139,556,779,672,043,540,504,634,590,910,236,678,054,662,654,564,
753,524,785,827,211,464,772,322,142,387,339,665,950,613,253,264,478,445,312,
943,179,380,441,010,943,141,868,629,572,622,636,754,421,658,526,164,160,285,
971,360,589,227,880,321,607,592,274,581,466,225,054,312,565,785,369,541,227,
639,377,971,514,793,798,595,971,283,046,337,493,739,409,793,429,206,258,817,
611,215,610,354,940,503,951,891,431,273,443,241,317,051,050,211,031,682,865,
942,505,769,836,518,754,980,566,408,421,384,494,104,438,609,714,823,491,594,
167,099,789,760,873,560,202,697,702,939,655,007,570,687,518,115,114,275,235,
272,386,369,349,578,559,029,102,187,457,725,481,520,141,834,496,042,103,875,
754,383,216,261,138,192,609,223,405,522,635,235,569,550,563,048,592,773,311,
379,837,295,054,564,506,816,604,793,560,243,556,746,745,583,318,475,002,519,
385,915,991,969,791,201,860,250,553,812,278,618,137,744,100,563,052,767,645,
415,106,168,437,437,295,806,956,114,377,504,103,737,815,477,987,937,201,733,
901,914,915,059,566,118,323,886,020,342,889,688,133,161,603,990,603,725,296,
924,510,703,259,335,621,829,187,590,773,740,404,008,857,413,523,417,592,403,
986,533,911,536,912,413,057,429,047,945,258,749,454,970,965,993,852,461,312,
460,041,551,193,545,461,065,498,709,250,796,776,759,293,477,513,577,053,524,
585,403,846,350,746,691,972,137,680,029,069,897,360,163,270,135,782,995,648,
877,522,503,881,607,922,405,385,769,417,164,021,922,540,423,761,321,079,035,
389,032,531,824,882,563,908,471,395,004,747,928,473,568,223,839,505,629,364,
337,747,944,461,204,809,599,918,154,655,726,802,502,788,478,338,059,871,826,
534,300,857,620,883,128,714,450,444,013,938,746,670,709,867,832,947,379,488,
309,986,639,916,553,294,419,031,770,406,036,346,000,901,147,721,725,864,271,
648,899,160,051,491,933,486,818,355,992,990,864,884,189,993,938,505,095,013,
971,699,510,254,325,756,061,479,068,931,193,490,417,851,732,804,305,191,957,
673,770,525,796,318,161,558,616,650,609,650,676,462,713,649,762,604,091,230,
008,766,871,797,279,566,547,360,851,848,460,536,922,554,906,955,139,375,426,
451,822,632,312,239,953,729,849,055,596,864,626,467,069,520,071,301,516,183,
724,057,210,474,136,999,850,964,198,575,365,579,427,219,496,395,010,160,943,
802,756,800,398,203,361,840,017,245,703,831,477,490,956,015,102,806,246,567,
344,560,042,923,459,781,756,590,822,273,687,777,917,811,249,353,173,428,879,
586,715,604,703,164,809,307,724,774,721,221,418,807,684,716,433,615,149,483,
179,012,257,845,816,170,898,979,727,625,421,910,138,654,475,701,371,382,675,
634,888,929,456,989,465,205,092,054,999,210,443,132,092,532,783,120,577,070,
483,308,789,351,964,656,763,429,847,251,585,896,032,407,202,133,706,889,245,
548,522,384,990,349,069,831,322,905,665,470,995,018,120,953,785,057,743,189,
661,214,421,441,212,812,108,146,516,337,257,795,333,067,367,446,719,912,796,
590,718,589,110,076,373,736,371,607,427,111,074,066,923,051,460,154,988,161,
050,474,190,333,648,211,248,969,912,674,232,600,977,568,013,925,663,689,096,
654,307,373,309,822,354,752,243,367,466,050,873,638,790,803,164,238,473,722,
299,401,411,289,150,369,326,888,417,351,984,793,190,071,202,389,166,381,557,
340,286,582,684,600,003,633,792,496,008,606,873,023,233,863,811,861,663,994,
026,615,161,626,995,680,026,670,163,141,854,043,784,310,654,318,076,479,182,
682,452,333,558,649,008,191,297,948,328,148,762,739,298,044,467,643,184,194,
763,353,124,152,469,212,562,906,524,665,871,762,940,371,367,803,894,987,965,
568,952,588,296,540,430,361,865,675,342,368,797,297,612,013,738,764,364,069,
772,740,647,505,763,696,913,573,915,737,653,972,238,711,916,115,489,918,162,
252,552,411,460,820,214,436,826,404,671,318,041,637,296,619,141,735,972,294,
748,810,889,122,363,962,892,486,717,167,039,572,702,320,113,230,599,796,251,
777,438,643,477,518,773,387,529,106,022,105,421,193,222,029,450,207,889,134,
297,899,415,420,343,154,822,659,995,548,430,622,406,839,763,606,689,550,521,
320,660,621,030,414,719,937,613,235,419,172,481,210,666,161,100,315,687,537,
398,473,119,832,912,799,188,571,047,650,768,381,353,676,202,030,845,013,080,
329,783,918,044,485,874,644,276,031,689,688,525,971,173,537,274,013,071,887,
339,078,564,315,610,481,267,267,750,836,632,009,148,971,015,652,385,357,904,
593,125,716,312,500,741,759,537,600,717,888,208,585,209,609,292,053,325,412,
783,009,125,321,845,227,193,145,714,536,303,017,510,729,381,823,316,889,420,
038,349,589,129,669,167,779,442,624,935,689,370,057,095,523,986,827,661,780,
568,840,426,844,942,691,807,737,306,011,900,194,360,771,006,570,710,924,304,
481,753,786,533,183,225,641,171,616,815,872,986,438,271,655,446,365,517,930,
737,315,830,779,619,188,407,569,250,669,124,173,314,271,079,124,522,957,660,
059,602,874,453,836,721,843,002,318,134,584,854,285,259,959,873,687,707,910,
972,263,379,563,590,774,810,888,669,459,303,313,904,600,618,064,365,741,030,
139,585,434,158,522,023,984,062,874,975,517,273,043,329,241,475,268,503,941,
756,598,080,620,446,883,807,587,326,779,538,474,224,126,817,957,087,280,306,
164,423,004,077,575,611,190,452,300,220,341,953,639,628,626,844,208,061,014,
297,398,076,469,772,194,590,631,721,256,097,872,139,995,732,542,864,698,323,
919,292,091,284,569,880,936,239,907,377,296,490,602,807,073,915,084,851,803,
102,563,256,742,679,863,634,900,526,767,090,390,348,300,175,355,411,476,992,
702,573,062,731,481,805,895,079,798,982,537,863,416,651,493,290,858,010,065,
829,076,731,818,037,853,805,986,265,404,268,843,693,052,672,838,456,310,164,
822,555,185,231,878,885,493,581,161,508,076,166,049,689,652,178,727,753,361,
556,540,262,947,339,591,913,333,999,429,509,323,590,230,328,189,272,188,298,
359,096,720,572,370,697,358,138,305,414,346,679,211,122,344,627,914,252,001,
882,143,399,879,711,272,019,856,251,937,594,958,435,588,468,006,088,638,515,
890,701,926,008,296,697,648,765,317,455,486,990,323,842,405,320,903,168,815,
320,870,144,932,758,851,655,065,604,072,454,775,523,351,856,562,628,119,835,
262,385,415,273,472,553,806,135,487,671,859,552,886,824,684,833,865,370,742,
284,740,905,790,075,661,990,654,233,403,657,328,726,327,040,524,305,452,220,
030,277,463,771,518,108,269,436,646,507,811,290,515,119,038,641,756,563,631,
484,602,616,288,653,433,316,803,674,287,966,538,344,315,683,484,236,848,371,
901,267,991,385,850,287,775,495,952,940,591,728,562,927,907,998,297,726,455,
336,495,433,111,748,834,112,838,094,898,386,052,826,634,146,855,466,441,185,
548,484,927,784,040,017,730,250,984,070,444,175,467,056,443,329,338,386,320,
633,141,715,678,725,550,084,199,295,978,814,387,257,923,560,912,863,155,969,
170,737,800,991,312,037,699,695,621,972,410,611,801,557,675,190,987,777,290,
292,351,361,435,266,238,954,545,767,959,279,430,326,112,695,969,160,942,789,
240,556,303,392,240,997,675,805,072,554,424,471,021,887,740,093,020,456,363,
510,830,489,732,421,516,326,366,746,990,404,138,476,233,361,490,563,836,095,
474,048,439,703,964,781,112,252,271,695,319,924,236,480,701,348,411,330,329,
442,117,361,101,034,900,974,394,595,747,574,407,546,017,911,293,927,600,427,
593,544,510,364,969,021,044,720,114,998,329,230,144,190,154,609,538,588,090,
761,602,153,214,546,191,718,200,639,352,983,346,969,449,205,840,188,429,063,
470,520,994,219,094,577,413,116,515,088,644,519,271,444,550,234,814,991,264,
431,406,785,407,031,682,649,262,052,907,187,069,710,200,266,365,463,747,719,
153,833,275,361,492,844,711,744,389,555,597,711,499,119,913,588,188,531,209,
568,674,261,158,896,240,673,666,159,842,704,134,828,862,161,830,808,317,898,
811,985,557,810,422,696,695,735,855,419,984,844,359,438,830,303,791,352,869,
659,822,939,057,628,951,923,622,696,950,847,214,141,435,749,655,149,156,833,
366,818,925,895,379,336,436,343,867,151,293,513,500,248,291,027,897,332,791,
781,942,742,600,336,133,983,240,280,388,239,252,950,489,769,906,321,104,435,
393,689,789,924,627,196,636,457,467,749,952,065,118,066,197,680,868,353,228,
165,583,390,931,697,520,933,816,216,033,863,214,465,793,883,397,242,015,717,
532,307,166,248,162,722,884,705,475,127,016,316,002,487,295,066,997,012,202,
737,846,923,612,573,397,410,554,195,681,450,115,905,160,860,434,229,009,971,
843,494,319,976,306,440,320,245,717,548,073,749,917,345,039,097,426,006,073,
697,556,460,607,741,296,556,981,619,456,520,658,829,445,485,629,888,279,921,
494,994,053,434,285,657,375,529,744,749,702,605,890,753,724,465,698,005,881,
231,448,538,977,852,541,081,048,492,568,008,895,175,875,149,020,830,421,169,
240,852,955,886,821,313,304,396,860,468,837,959,434,359,588,607,501,453,685,
638,978,957,229,827,051,618,963,052,474,205,381,084,008,746,779,909,089,988,
945,002,532,582,463,937,147,981,337,941,251,941,902,207,408,920,424,054,363,
255,148,799,398,530,979,706,785,060,345,946,933,747,979,175,377,382,498,988,
541,004,207,925,559,031,314,557,530,409,645,427,594,165,304,577,567,586,467,
689,385,490,046,321,821,644,572,106,916,644,976,162,548,539,203,715,422,871,
426,537,980,509,146,691,269,359,063,727,054,531,822,826,227,853,844,351,655,
507,722,812,441,702,724,270,679,917,899,224,895,515,608,401,035,056,704,255,
077,443,697,281,756,345,310,568,574,717,707,789,626,770,296,581,719,576,559,
136,836,645,585,436,328,864,585,041,006,326,990,356,546,350,442,843,784,607,
118,503,000,094,451,375,277,427,474,265,245,829,389,328,743,215,017,674,056,
889,529,916,282,447,318,858,267,755,910,067,161,040,875,674,564,108,441,606,
702,694,171,845,463,619,429,391,983,662,715,284,343,081,190,309,055,269,867,
769,219,909,944,458,570,337,569,325,301,060,911,119,558,449,261,174,900,299,
267,108,388,012,537,835,860,183,153,303,513,601,376,727,311,057,870,357,171,
146,433,938,722,621,356,575,806,965,811,781,666,374,924,665,922,444,048,676,
096,572,436,035,778,484,464,253,191,112,776,671,816,892,284,715,665,063,808,
543,894,292,672,910,434,501,900,527,219,515,196,149,014,830,444,193,866,694,
092,106,895,769,905,839,015,310,719,808,853,232,295,092,861,781,125,860,426,
791,797,017,988,856,912,676,316,077,126,394,409,722,188,473,301,058,335,659,
359,226,066,035,543,904,508,418,901,778,439,166,617,143,098,357,770,106,345,
174,241,273,430,923,706,368,086,417,764,544,834,122,140,055,418,318,715,786,
397,922,378,888,898,508,680,912,760,358,307,129,911,981,595,040,835,471,695,
988,498,049,973,662,541,999,413,243,583,763,961,591,393,782,226,987,444,790,
374,385,541,503,295,644,064,486,908,346,184,708,489,774,468,487,515,016,139,
065,561,771,619,111,793,162,402,262,019,445,641,909,286,675,073,547,776,909,
597,365,708,053,299,294,769,584,203,713,736,431,206,541,533,667,048,844,407,
706,213,275,171,931,676,372,523,912,255,238,581,823,450,148,393,415,319,441,
756,596,337,043,373,393,790,860,695,567,525,144,886,836,029,622,334,142,912,
781,798,715,155,772,070,117,664,336,660,485,264,347,930,561,365,848,920,838,
306,812,574,112,862,902,547,800,070,523,651,047,220,161,718,690,785,837,256,
785,729,395,175,519,799,356,203,884,672,298,687,784,554,056,202,275,731,354,
784,661,921,099,380,115,583,970,157,338,992,110,791,060,800,957,489,397,070,
892,643,975,981,898,809,261,195,768,751,302,346,272,009,924,499,777,654,414,
030,054,557,787,458,812,583,899,024,531,162,736,607,518,463,158,280,517,336,
327,954,961,788,761,042,328,337,449,146,343,219,204,004,012,259,348,260,023,
514,622,881,339,110,616,819,424,911,329,385,419,864,894,612,707,803,008,895,
174,417,703,776,619,286,217,815,501,823,529,757,028,074,558,706,273,588,567,
942,902,549,681,822,712,077,863,767,966,290,049,347,936,465,661,967,067,961,
861,248,743,822,096,287,865,140,004,862,140,561,985,600,097,069,984,308,234,
050,455,942,298,956,529,104,030,606,382,032,634,348,395,106,811,611,301,836,
188,552,790,170,127,558,902,482,507,228,567,403,916,777,200,471,590,506,941,
219,274,482,770,987,126,691,932,742,621,653,143,192,014,477,273,674,152,133,
654,438,522,834,055,050,772,416,133,779,630,337,269,026,337,801,293,148,410,
768,508,753,583,484,989,004,782,419,881,269,268,148,110,409,212,357,859,396,
948,027,863,261,044,405,437,651,060,842,031,385,004,551,910,577,120,543,044,
131,135,588,977,526,795,010,934,532,341,635,615,082,127,785,307,676,846,461,
087,308,630,985,961,624,312,613,715,422,258,724,996,209,619,973,094,562,399,
766,037,158,673,176,604,784,696,466,519,262,430,228,545,996,109,087,190,723,
207,126,951,955,047,428,155,575,423,204,508,246,926,045,026,173,332,642,091,
918,233,121,372,968,308,479,625,380,149,002,130,622,833,892,402,614,554,021,
197,440,245,344,043,498,917,519,549,319,293,628,743,829,603,305,987,375,683,
359,729,764,234,367,286,670,034,625,398,314,883,555,896,944,878,386,127,127,
574,632,995,776,088,769,515,815,042,308,483,215,170,383,582,814,560,031,886,
456,744,400,803,327,650,098,746,594,780,159,679,178,812,137,592,731,729,587,
325,788,515,675,630,131,231,881,285,459,708,598,481,269,994,823,088,509,725,
632,185,302,736,605,371,993,822,487,509,077,434,738,352,328,667,563,161,164,
883,949,287,697,922,179,252,879,972,681,157,305,737,636,971,633,882,424,916,
470,650,892,919,084,512,771,989,798,584,396,330,534,002,214,815,106,041,724,
672,781,059,740,510,018,205,855,091,310,913,219,373,624,882,621,946,281,431,
433,847,147,600,418,696,942,994,925,971,008,850,047,011,448,272,052,595,010,
177,859,773,278,070,028,701,445,868,748,930,064,336,896,554,696,342,623,682,
867,403,797,840,090,974,314,128,375,207,023,507,062,648,202,803,294,864,886,
709,555,743,155,212,690,920,419,951,295,879,840,908,738,261,298,448,469,889,
606,552,293,459,664,438,680,717,996,179,057,470,224,139,855,222,049,153,629,
636,381,410,459,093,201,878,190,452,030,783,800,898,629,433,643,583,197,464,
388,923,641,853,608,164,208,907,937,900,779,533,259,508,416,623,779,506,855,
696,065,094,689,963,848,682,286,102,100,516,715,006,162,484,115,004,420,272,
597,052,033,550,746,251,828,713,686,779,174,140,676,154,087,251,746,389,861,
556,943,161,972,264,909,367,337,715,303,029,123,098,576,012,686,125,823,136,
643,366,628,044,330,904,334,856,345,153,952,987,843,683,044,371,313,558,651,
415,381,014,900,703,913,187,173,583,041,388,027,399,548,952,461,645,523,595,
291,911,920,368,671,101,144,905,456,473,213,065,988,760,747,106,425,792,279,
521,653,470,587,399,097,889,323,503,896,823,352,183,133,593,868,303,367,960,
679,542,376,929,183,000,797,434,875,109,196,929,928,079,540,538,180,897,851,
086,175,526,967,132,670,506,743,425,413,843,849,495,052,856,888,241,656,334,
597,902,105,577,386,225,236,468,597,744,207,789,762,013,791,196,194,648,275,
152,006,113,856,427,471,051,783,406,241,009,713,325,124,991,635,105,820,627,
852,263,671,701,093,912,450,674,573,311,296,863,712,283,238,634,944,802,890,
200,047,982,721,639,302,407,265,545,333,593,867,244,433,514,405,220,015,088,
817,496,058,644,451,075,901,895,248,157,383,070,340,149,752,331,722,239,326,
672,602,548,817,645,056,098,734,191,346,442,028,239,270,929,783,625,989,414,
121,152,433,344,762,222,667,523,668,493,778,606,199,357,442,215,092,025,393,
888,821,117,990,705,295,689,046,743,618,118,102,160,218,832,109,447,530,466,
491,045,519,094,371,876,779,673,226,032,173,043,703,643,427,594,690,192,904,
375,516,556,051,341,498,049,570,330,412,855,985,560,401,743,509,942,189,990,
518,098,700,729,377,125,032,418,789,045,209,471,246,281,787,968,141,291,717,
703,980,242,297,272,919,139,785,397,410,061,536,598,722,038,739,252,222,778,
215,031,691,455,829,050,520,051,878,399,236,265,717,689,877,237,892,888,366,
199,954,655,634,400,503,000,359,224,836,893,694,102,712,736,470,297,847,140,
983,254,311,280,064,158,175,281,484,425,874,652,694,962,599,050,434,810,144,
745,469,176,833,687,068,589,158,610,215,956,877,014,311,941,253,691,366,495,
939,520,976,375,102,595,522,165,374,063,201,010,815,076,938,669,474,070,285,
625,334,885,821,742,787,678,056,374,064,379,155,771,330,914,908,208,919,877,
696,665,064,655,940,123,491,827,942,303,742,214,449,861,302,351,443,358,747,
498,872,746,609,078,892,251,987,250,066,598,229,439,356,110,398,152,540,688,
234,798,698,622,431,907,620,451,005,596,559,380,495,086,161,619,896,709,868,
199,074,123,216,813,783,109,283,705,300,008,009,451,439,909,372,651,949,845,
066,628,137,461,170,051,087,533,159,754,124,284,326,872,077,542,472,144,483,
696,071,442,253,484,991,241,648,090,604,613,066,583,915,355,121,341,255,889,
371,140,983,186,276,022,169,602,288,131,411,616,332,162,384,846,867,610,699,
838,227,995,860,753,106,821,429,675,982,306,005,251,323,537,194,268,942,806,
255,580,096,029,977,275,286,400,376,818,890,945,247,622,848,105,812,358,530,
796,127,110,762,497,184,350,297,718,701,091,167,447,196,418,886,071,419,445,
602,025,268,313,566,541,017,694,856,714,251,118,142,253,478,134,034,610,283,
522,057,473,882,583,986,744,685,994,266,326,700,612,352,892,369,678,983,256,
573,022,267,357,400,480,323,944,101,079,933,032,580,259,951,363,241,106,851,
594,350,443,468,332,763,769,990,636,066,089,517,482,026,042,322,657,677,857,
707,910,171,091,041,987,735,918,338,830,181,637,714,146,234,384,810,216,548,
853,794,480,076,568,655,388,355,894,785,962,551,504,854,955,982,898,174,471,
058,041,360,169,553,689,565,772,355,374,343,887,491,509,584,451,958,181,626,
834,851,623,736,963,266,353,409,176,204,414,189,923,275,646,228,632,461,833,
954,981,399,141,908,480,398,272,928,188,364,752,759,542,773,128,958,453,906,
264,123,887,049,181,504,273,591,720,566,168,654,481,944,483,499,406,282,986,
724,858,349,262,182,052,523,307,797,244,691,120,052,745,035,161,738,622,355,
521,652,452,168,546,247,299,638,468,104,904,740,115,659,786,127,448,053,673,
764,780,962,953,429,801,667,567,054,898,279,661,850,686,171,774,875,575,044,
045,652,820,181,340,307,186,114,111,728,409,456,557,827,754,749,851,632,459,
321,078,345,270,720,583,488,789,151,428,471,059,361,049,602,592,109,917,691,
749,700,494,348,840,165,214,252,184,130,488,451,712,683,047,647,557,596,854,
262,677,717,400,627,231,148,254,683,056,846,075,115,917,968,334,598,472,295,
360,767,837,366,005,120,315,101,654,322,484,645,302,564,990,970,779,787,219,
177,872,202,813,854,584,856,088,440,272,986,763,764,298,828,575,890,405,079,
940,164,087,668,652,568,506,482,763,602,146,634,826,331,476,332,908,063,978,
250,783,630,957,165,452,073,872,697,427,134,477,120,263,716,369,401,093,302,
713,974,214,949,718,348,744,251,120,686,197,332,818,363,681,111,840,697,506,
138,055,027,026,268,085,063,156,684,163,347,015,246,529,645,593,362,903,209,
323,895,347,373,128,229,702,390,316,215,182,877,945,154,726,235,294,213,888,
512,540,957,604,275,163,698,416,352,450,443,287,388,431,498,519,864,377,186,
528,481,526,132,699,329,430,186,155,929,602,908,098,577,089,047,774,459,238,
085,023,088,446,050,499,540,615,836,369,435,590,836,275,748,773,933,867,902,
764,162,387,770,290,059,443,096,540,560,964,296,885,238,209,782,808,597,531,
222,993,702,023,697,241,795,386,686,768,050,971,610,912,386,070,999,056,964,
005,968,618,778,881,003,633,991,314,497,454,286,923,416,364,111,040,114,618,
824,342,274,333,084,357,060,566,728,822,887,454,241,663,587,984,607,529,003,
775,496,331,952,325,619,230,560,488,442,190,926,872,925,672,910,900,490,747,
118,993,440,411,353,680,859,940,849,361,255,462,568,321,952,497,554,371,931,
923,449,480,733,212,589,280,349,589,299,874,237,578,648,725,935,764,689,300,
265,140,994,396,149,502,677,726,053,357,553,121,048,629,835,592,326,380,143,
697,812,921,543,327,224,821,166,698,151,738,587,433,485,442,720,004,858,614,
126,067,832,122,377,310,634,410,117,819,398,250,556,515,844,884,370,513,736,
817,396,468,508,221,213,130,339,558,940,482,143,008,893,907,850,753,897,343,
252,007,952,743,501,034,894,005,689,033,635,461,468,089,612,468,907,606,252,
445,545,117,603,353,426,296,385,431,384,456,925,655,864,243,420,855,007,908,
812,931,670,774,833,071,842,950,745,734,572,022,817,714,539,678,874,067,289,
819,098,151,328,349,684,837,165,565,025,257,138,498,900,309,486,411,415,669,
431,918,187,610,540,937,623,427,028,156,553,988,213,671,243,577,163,254,133,
278,109,828,293,800,682,898,241,060,740,531,400,116,148,321,395,076,490,936,
775,938,178,989,463,735,151,050,799,488,744,712,289,792,978,229,401,703,566,
698,292,500,422,170,960,214,360,129,204,106,904,770,512,758,135,668,642,253,
107,653,798,630,592,356,257,829,844,155,659,092,827,594,588,189,049,260,864,
206,839,305,297,922,216,147,140,938,027,743,913,918,761,502,114,780,228,429,
564,219,060,591,153,060,938,778,694,999,209,425,021,272,793,462,518,354,806,
812,893,641,327,677,928,470,166,800,308,196,366,016,515,071,032,769,228,452,
703,138,797,787,724,518,361,651,942,551,772,538,112,647,683,131,873,198,943,
158,232,394,998,475,583,293,655,090,704,475,647,313,922,739,656,791,293,358,
425,067,940,952,254,629,368,481,171,009,794,360,622,101,915,515,998,145,663,
076,963,560,189,386,830,974,112,635,343,249,872,541,906,798,273,641,496,564,
162,943,449,437,143,362,883,430,055,584,106,383,686,295,378,793,700,078,802,
405,807,293,158,632,589,605,290,989,335,732,630,652,958,012,949,749,851,547,
471,185,111,641,195,352,655,302,416,228,925,885,276,233,391,109,410,700,966,
521,322,012,351,610,883,767,688,464,170,285,336,038,548,014,633,361,176,380,
846,151,481,778,034,416,819,470,200,049,267,102,897,904,264,663,298,557,871,
520,296,172,330,246,986,105,934,474,296,088,145,189,423,422,568,842,300,666,
690,700,726,785,727,640,561,349,149,134,871,252,429,159,043,193,912,981,845,
297,416,451,018,611,751,083,283,646,004,284,527,206,962,664,487,742,770,402,
649,799,676,078,311,484,392,359,432,847,895,935,462,501,718,603,235,858,749,
245,642,849,683,818,379,201,167,913,528,909,087,452,397,760,704,107,271,875,
649,060,607,297,849,792,662,585,786,491,735,055,038,200,329,766,270,512,667,
049,644,342,609,335,640,117,143,186,500,223,737,847,609,773,336,683,312,393,
643,531,451,116,102,669,974,089,268,845,726,904,237,706,244,677,589,191,884,
126,592,814,863,925,658,545,616,966,216,023,129,623,674,435,051,799,038,457,
186,151,648,588,185,910,566,499,282,172,529,627,835,250,070,161,792,624,184,
057,595,847,580,189,646,534,127,396,784,613,414,083,723,528,074,761,505,440,
160,982,094,766,712,927,510,308,510,802,679,359,666,761,210,549,069,141,017,
228,695,800,185,756,016,029,742,362,472,018,295,082,851,850,044,173,552,295,
626,258,498,919,629,440,998,816,734,921,827,088,133,932,979,025,342,196,929,
045,261,220,044,533,084,773,518,663,356,714,472,342,337,192,040,562,557,243,
270,498,239,522,706,414,039,813,160,491,008,937,856,407,707,667,336,891,658,
351,827,202,966,816,620,669,704,648,994,378,595,439,560,850,823,051,755,858,
498,501,567,103,289,185,200,554,098,369,672,502,063,635,231,360,496,691,882,
149,631,950,931,606,764,644,644,572,156,683,066,232,605,676,701,875,881,164,
925,158,682,090,731,317,177,809,602,222,280,229,420,895,664,434,772,546,793,
667,873,816,910,454,072,433,807,680,149,445,323,920,448,457,017,275,169,745,
386,569,304,440,670,165,817,299,670,848,526,718,942,517,207,005,068,374,186,
659,654,224,654,216,352,686,865,535,961,482,153,777,233,155,830,686,035,965,
545,748,967,814,753,836,661,750,400,079,105,520,732,284,504,252,203,523,798,
804,639,396,564,088,139,241,659,985,386,142,279,978,199,888,970,094,125,028,
156,044,199,402,339,077,926,255,909,227,125,930,419,842,639,133,633,282,316,
436,626,891,093,037,104,402,524,392,067,111,797,323,836,408,904,514,178,953,
078,494,891,691,242,566,480,323,584,202,223,764,272,984,566,506,361,119,974,
777,737,063,419,749,050,857,396,768,451,696,340,163,492,944,034,463,284,004,
930,170,406,628,900,708,584,810,324,308,843,662,420,592,996,116,659,488,002,
285,632,920,343,045,683,385,741,254,283,837,596,739,686,431,502,285,912,845,
850,763,324,432,097,763,578,019,396,841,944,415,484,393,267,215,983,669,403,
716,944,381,273,993,585,134,844,884,133,328,705,951,921,557,517,444,995,053,
350,939,934,152,864,382,958,111,808,379,221,572,340,922,492,573,293,171,652,
225,713,577,479,866,588,470,017,678,550,483,059,557,492,950,736,876,935,090,
339,672,912,866,914,474,186,715,122,485,669,969,390,383,145,045,099,656,407,
966,860,015,690,839,124,669,105,605,962,457,723,431,443,944,033,556,099,845,
023,134,719,831,890,652,291,862,789,897,120,700,151,313,565,757,117,513,503,
335,412,907,235,823,074,450,228,872,607,542,467,937,645,486,839,248,048,341,
395,172,809,568,828,079,809,724,683,069,577,177,622,315,666,865,664,535,202,
419,582,677,189,502,621,800,208,886,190,312,318,599,232,407,028,655,761,164,
767,419,012,893,309,314,559,866,318,101,811,339,014,526,559,599,605,875,126,
019,204,790,230,670,955,954,887,826,436,093,393,996,163,341,185,913,211,183,
163,603,750,169,780,068,000,691,553,449,342,771,572,196,046,597,508,192,184,
426,807,527,794,325,195,039,963,300,367,052,885,307,273,031,691,843,189,168,
566,559,731,385,755,122,308,886,300,404,195,951,761,490,691,126,261,163,171,
777,449,823,267,910,269,847,218,691,290,489,929,846,453,333,838,457,025,840,
161,417,213,427,375,609,466,243,493,271,664,407,620,892,244,899,175,708,931,
308,011,069,029,821,811,940,774,931,270,052,120,595,500,345,492,303,807,965,
233,810,119,612,920,740,925,053,815,442,223,396,247,761,603,009,743,791,456,
264,721,560,586,767,579,067,724,911,412,659,053,216,365,465,801,208,766,741,
858,586,094,105,105,380,408,691,564,041,807,513,929,791,838,344,361,604,450,
117,801,182,590,689,642,791,268,296,688,528,303,699,722,155,553,378,726,246,
629,094,497,642,263,217,458,261,218,525,019,802,626,066,577,047,698,025,577,
118,540,004,619,213,912,686,117,778,506,449,240,945,459,480,750,052,231,851,
074,889,392,622,219,456,839,480,407,649,940,684,017,327,752,219,146,055,855,
902,050,648,462,102,258,294,007,392,532,905,682,264,076,429,495,508,330,729,
727,289,192,740,740,633,472,820,101,194,492,605,134,784,851,279,904,507,338,
213,629,630,094,359,934,003,688,526,979,358,009,508,178,787,369,775,653,972,
338,997,289,703,363,011,966,910,952,480,124,675,319,161,378,445,487,335,134,
763,013,296,777,656,125,383,560,618,241,795,338,141,605,838,019,619,269,104,
365,672,214,688,685,680,080,939,633,611,490,712,770,619,335,979,811,096,718,
737,014,864,653,349,742,321,924,994,307,101,222,820,041,987,617,705,603,512,
267,053,228,896,006,794,548,698,527,584,647,590,975,350,004,942,612,710,079,
596,098,682,816,342,786,403,536,936,549,165,680,369,338,631,462,857,821,761,
138,589,209,698,166,934,823,028,889,317,043,690,394,134,700,480,586,314,742,
292,760,581,204,396,014,923,306,663,195,810,861,677,043,907,630,513,318,773,
757,800,896,030,063,545,985,779,975,544,418,550,588,292,203,131,023,085,516,
063,149,869,014,504,772,340,067,414,903,426,797,958,926,983,143,325,348,308,
082,883,898,247,534,203,932,843,621,890,711,177,635,370,205,407,503,482,218,
319,365,698,651,140,669,395,634,165,265,127,556,363,299,777,566,960,226,382,
990,180,708,740,693,870,499,514,253,294,477,159,806,387,156,586,019,213,595,
846,493,004,534,556,007,702,731,948,588,999,978,711,292,885,197,903,189,958,
535,934,965,218,391,690,991,286,134,674,338,632,917,495,101,243,202,417,978,
725,111,155,948,015,369,621,765,787,751,525,281,833,591,647,588,875,310,863,
233,162,247,591,897,606,143,904,779,820,865,433,441,783,904,328,230,036,095,
609,596,573,784,190,528,045,141,938,584,817,848,235,522,291,599,535,426,237,
213,621,586,988,734,301,293,521,920,660,791,335,769,888,310,952,210,106,306,
090,910,324,044,706,089,049,928,792,736,603,707,860,296,792,200,945,153,364,
257,562,553,707,060,854,472,760,590,716,844,721,271,729,849,099,287,934,768,
302,732,719,481,342,691,392,038,023,653,706,171,674,345,210,952,894,096,576,
695,247,020,384,414,430,517,434,626,534,838,858,056,866,277,779,587,710,700,
594,802,562,275,477,851,782,254,384,374,076,858,390,132,436,717,446,481,589,
167,899,522,746,641,429,220,502,212,176,853,120,251,436,304,959,716,984,323,
425,794,348,945,029,422,560,330,900,440,873,915,954,981,188,271,096,354,986,
026,980,486,934,928,386,097,160,426,175,603,448,558,862,240,844,898,663,007,
461,593,273,884,309,524,704,309,975,682,521,848,346,100,644,285,793,636,314,
351,361,154,346,039,985,956,014,804,927,337,891,404,724,168,301,045,130,331,
727,773,350,254,640,065,825,809,661,605,733,704,928,756,154,286,726,366,026,
552,720,473,589,716,086,126,110,505,035,985,883,709,368,703,484,831,242,214,
411,003,261,785,880,308,456,322,423,369,977,542,801,118,935,849,355,670,180,
250,535,255,121,547,281,165,803,500,682,763,806,396,713,573,551,761,947,425,
173,810,288,087,951,133,763,379,979,763,828,875,079,159,609,856,368,077,597,
993,937,027,983,160,149,421,441,643,607,348,670,314,695,566,764,983,047,967,
225,124,731,410,552,026,725,508,974,015,443,543,977,523,948,697,070,137,842,
239,739,119,152,627,642,524,343,508,620,170,197,930,901,431,480,633,858,961,
732,909,796,396,106,818,199,923,391,599,506,529,507,179,654,322,103,335,679,
961,906,111,119,492,116,770,203,695,133,426,248,191,653,503,401,640,180,735,
958,796,357,902,841,802,427,739,135,079,968,691,331,298,588,941,998,752,924,
671,625,262,515,950,655,601,194,434,898,908,773,202,518,034,729,785,855,566,
083,841,540,068,471,256,076,182,194,194,608,312,045,740,206,774,360,550,001,
965,756,054,008,466,858,066,237,050,855,006,462,091,245,452,245,760,136,498,
746,132,303,524,369,391,405,162,784,362,369,644,404,642,253,366,347,593,120,
438,160,066,790,230,577,228,640,907,768,867,011,818,619,226,566,473,079,474,
006,740,556,875,694,192,135,931,147,162,512,691,432,432,894,984,397,425,299,
015,369,891,117,819,435,045,977,175,143,366,879,350,476,528,104,800,679,247,
763,910,279,055,452,443,800,463,968,856,797,973,718,135,237,533,669,804,327,
319,657,346,653,840,328,989,909,028,010,675,002,049,962,184,439,707,837,608,
776,462,409,586,910,820,811,450,890,713,236,162,689,526,490,045,612,561,983,
565,788,746,046,420,471,330,159,206,441,924,556,676,767,430,558,890,335,549,
443,978,779,356,163,930,725,688,290,097,376,701,851,791,838,048,555,696,832,
980,767,509,970,580,191,716,021,252,097,500,988,379,268,652,333,119,079,899,
722,958,018,523,509,086,436,356,668,578,548,215,572,872,574,067,857,159,250,
954,690,442,568,633,211,995,856,732,819,771,881,952,375,969,522,985,137,534,
925,778,069,748,760,489,483,480,581,481,100,660,426,416,596,955,317,908,063,
976,695,456,232,935,620,172,849,203,080,664,889,129,411,561,824,133,281,620,
035,641,150,246,560,097,814,765,985,742,603,517,648,363,088,965,593,878,631,
078,898,623,016,364,933,041,567,090,084,884,361,104,009,530,631,285,041,569,
159,420,808,318,415,732,899,695,485,753,576,626,353,892,526,426,128,456,338,
531,313,508,759,106,791,537,790,621,308,846,879,747,475,075,055,625,590,956,
219,177,493,733,852,412,505,117,402,251,290,807,103,131,235,713,354,198,071,
174,296,799,847,307,900,510,714,344,128,061,729,556,818,499,651,475,343,552,
932,318,215,700,758,967,537,439,125,780,146,151,123,982,622,380,705,674,136,
125,084,481,055,927,550,498,350,552,536,918,555,212,403,172,777,745,271,482,
696,391,684,957,537,648,636,229,702,377,726,772,228,209,000,580,800,238,307,
777,198,593,311,218,633,125,877,920,847,040,964,132,890,767,139,635,557,392,
902,837,146,347,862,531,190,217,382,912,970,177,712,037,996,523,276,968,685,
212,375,797,247,632,341,771,587,371,101,274,810,335,332,124,104,649,768,206,
937,433,028,816,499,534,845,236,464,897,733,756,492,895,621,240,303,746,479,
062,657,710,831,737,197,992,962,561,802,637,653,167,338,466,636,109,751,830,
340,529,378,255,956,866,814,421,933,663,235,009,815,372,678,649,964,361,093,
759,050,993,425,309,456,370,959,906,614,264,685,742,632,202,798,877,631,517,
767,559,701,592,556,245,373,191,373,064,128,940,081,128,371,296,086,066,685,
643,859,552,218,096,988,989,233,453,083,440,987,087,937,220,038,614,502,512,
739,923,476,377,283,380,831,585,943,187,289,387,082,238,932,817,659,475,884,
826,166,047,922,176,074,189,440,649,708,589,015,223,285,893,856,300,270,398,
393,599,324,266,101,861,760,752,008,698,588,453,508,812,935,413,108,111,951,
269,755,892,898,648,088,056,552,830,212,926,000,886,411,933,204,707,306,128,
954,839,325,323,656,048,616,623,267,187,902,430,156,502,390,710,384,606,598,
177,453,086,854,619,666,130,092,464,634,046,758,188,967,353,264,046,255,687,
327,646,035,049,667,195,045,673,226,579,878,254,758,441,595,507,718,547,795,
407,441,901,204,477,866,572,942,886,497,434,429,617,197,740,569,355,593,454,
221,968,884,839,938,005,834,225,691,471,746,797,973,182,602,768,282,839,532,
027,980,834,308,106,659,380,572,872,609,720,205,353,455,319,070,049,480,084,
104,964,148,486,000,941,039,394,247,067,185,723,433,578,696,165,578,138,026,
481,843,807,302,675,398,688,898,323,272,297,046,939,322,162,664,884,201,830,
287,034,748,865,519,923,676,171,301,759,574,505,685,226,422,728,355,749,023,
395,535,777,981,664,770,149,781,661,063,030,434,972,230,676,253,573,794,289,
896,191,140,997,427,279,295,111,211,639,300,735,574,600,960,104,034,994,382,
458,587,453,880,389,324,087,604,928,803,261,875,202,837,668,423,975,153,915,
966,012,574,863,975,766,828,604,490,681,829,152,912,152,653,064,774,138,402,
541,575,769,571,167,546,013,688,917,622,837,198,222,239,476,191,908,012,316,
189,988,002,394,990,013,765,599,031,330,320,497,949,644,140,078,199,483,985,
072,879,390,124,706,205,106,199,296,911,147,982,237,305,400,317,745,631,288,
130,045,447,110,421,347,162,817,683,150,874,998,060,926,594,784,478,098,320,
702,307,840,259,826,124,373,033,507,275,926,434,731,444,611,739,381,875,454,
004,379,964,336,797,427,999,874,751,242,639,104,579,039,912,129,852,993,846,
723,619,854,369,848,054,535,141,265,653,252,457,689,938,636,165,157,975,679,
131,913,198,633,279,454,354,508,779,195,120,855,119,766,036,647,464,808,185,
286,258,752,504,863,538,327,696,563,908,223,017,461,546,855,903,362,508,114,
695,963,900,881,754,714,969,037,535,134,438,721,468,640,653,141,379,785,158,
798,183,529,224,304,869,808,304,199,088,887,248,745,041,412,620,230,891,625,
689,638,184,234,603,707,775,176,224,040,533,791,562,125,594,056,340,681,224,
505,451,504,474,093,174,037,594,224,214,993,137,980,336,870,006,456,878,924,
309,238,731,425,821,293,973,169,986,569,454,250,239,374,511,414,109,846,934,
344,285,485,497,004,659,773,734,461,440,949,778,348,525,610,415,281,521,255,
831,407,914,068,002,103,370,412,085,554,072,621,470,339,898,337,841,202,308,
106,237,035,384,914,866,022,787,152,344,576,511,657,069,783,739,267,971,825,
018,226,992,410,023,502,242,928,035,220,777,074,080,206,302,195,149,038,513,
812,419,378,692,941,727,106,449,292,073,018,421,816,357,876,221,995,584,933,
865,930,452,880,560,146,416,371,036,419,575,461,377,454,375,115,060,324,919,
399,294,849,670,522,249,161,540,978,393,707,441,101,277,517,764,885,183,527,
401,124,291,294,268,379,001,667,301,162,292,267,466,738,656,979,305,472,911,
639,455,372,604,851,724,689,541,687,136,608,776,480,834,678,160,793,272,846,
786,542,128,479,273,368,735,469,755,752,819,421,644,307,826,514,575,063,149,
023,017,830,512,016,097,039,510,744,940,932,226,134,145,347,475,533,632,305,
300,868,254,154,025,746,996,500,335,236,342,392,279,436,660,406,774,412,158,
256,920,027,846,739,660,647,790,008,402,705,022,464,352,831,523,266,207,865,
251,889,263,161,271,002,953,762,545,353,651,087,621,118,849,830,097,552,989,
035,438,962,432,199,387,728,045,913,429,205,364,725,873,436,467,345,038,949,
099,006,191,779,644,445,392,116,370,389,843,151,799,766,655,834,022,917,546,
834,981,583,119,307,888,145,517,871,952,850,386,243,979,725,510,793,477,133,
298,479,265,831,051,530,420,024,236,455,887,736,879,013,637,392,952,080,028,
983,709,287,304,946,498,547,548,055,671,409,280,690,392,427,133,654,281,698,
155,037,668,514,671,219,565,216,938,619,103,308,625,145,488,136,443,281,247,
276,750,090,711,584,215,915,796,264,265,878,411,870,650,881,408,822,629,535,
507,532,930,195,674,575,957,681,021,910,875,937,459,116,781,000,108,451,301,
259,356,687,977,640,122,402,945,328,372,378,363,000,254,664,847,418,943,862,
974,514,775,048,673,244,165,411,862,419,834,842,177,847,265,441,728,870,668,
639,677,823,756,963,492,635,348,659,546,079,096,340,248,041,647,027,619,008,
631,792,794,686,141,005,982,232,915,050,145,033,180,299,771,409,208,968,630,
629,744,614,822,900,217,852,533,383,916,136,950,421,282,946,655,343,947,670,
694,265,291,757,915,165,934,281,449,598,212,761,262,345,943,171,852,864,363,
158,069,658,677,594,009,439,729,433,092,358,904,688,883,928,428,561,000,930,
429,086,153,893,767,858,794,894,974,678,577,879,044,280,695,375,987,696,705,
664,722,086,104,452,888,062,530,381,027,036,157,547,886,535,269,666,601,627,
824,577,732,851,776,499,243,230,662,048,640,771,499,369,583,538,171,606,073,
382,555,678,651,114,771,689,614,839,182,501,086,162,462,580,947,935,976,133,
823,433,725,522,199,790,613,469,867,583,815,078,732,750,080,273,082,949,756,
999,894,310,559,065,849,804,327,823,808,897,750,107,411,043,888,433,215,722,
925,568,394,118,710,132,985,386,957,620,071,835,847,522,567,268,384,983,554,
796,630,608,820,399,443,242,801,422,375,167,725,257,462,343,422,756,957,594,
804,326,884,893,198,611,550,722,318,934,088,415,095,320,263,530,938,187,717,
174,546,498,867,480,425,264,390,833,227,815,543,318,663,427,734,252,679,906,
852,614,300,137,786,577,466,204,108,261,893,771,016,558,323,335,998,854,379,
014,239,657,817,343,320,447,917,962,841,300,396,748,227,216,461,088,870,153,
945,222,550,815,584,056,935,447,300,366,004,995,217,184,774,164,418,824,547,
884,361,496,918,154,751,159,856,043,913,191,295,798,426,340,519,928,713,125,
150,344,482,730,720,455,054,090,076,647,922,092,446,120,473,110,713,742,266,
031,609,637,574,690,628,409,942,706,445,588,245,193,337,530,918,796,349,094,
380,354,782,936,544,332,318,227,782,880,526,961,764,942,032,741,414,032,986,
001,697,567,091,707,042,077,771,043,002,613,135,149,346,597,326,774,593,521,
230,697,031,692,820,132,470,419,341,698,792,470,606,592,077,950,390,298,986,
386,263,102,813,850,094,705,713,157,648,411,641,444,776,630,849,603,120,479,
661,516,958,773,878,062,869,150,620,865,378,190,510,055,421,420,947,025,596,
414,451,158,655,805,806,474,732,844,102,233,536,354,818,689,580,018,415,083,
739,338,089,443,705,422,253,126,999,507,347,925,305,017,520,325,231,194,116,
018,367,444,138,884,978,487,329,685,711,886,111,393,374,782,788,017,021,112,
343,640,976,943,563,870,676,702,062,989,468,782,298,517,236,954,623,939,934,
060,941,920,487,590,207,714,456,367,360,337,997,919,501,176,114,987,145,373,
308,724,029,773,397,506,249,231,381,032,593,059,101,612,832,284,461,399,474,
311,978,060,143,817,253,723,073,776,538,834,444,243,799,831,394,573,928,141,
078,047,007,466,980,447,048,573,362,197,641,158,232,141,376,889,364,405,850,
928,693,852,692,512,101,194,849,134,414,361,289,213,943,881,557,254,128,988,
460,839,158,953,805,835,223,738,345,064,173,372,261,549,024,032,641,483,945,
697,840,145,366,047,117,365,709,312,390,320,161,123,103,928,520,143,121,982,
730,103,127,145,051,016,049,046,292,911,981,131,490,840,865,454,978,622,593,
436,074,515,815,762,665,310,108,949,082,713,143,433,919,294,329,718,448,937,
102,251,785,351,334,980,879,884,626,104,520,912,046,322,793,845,818,283,847,
566,079,602,199,294,591,353,272,640,638,107,880,139,252,971,440,115,521,646,
711,729,282,703,104,499,418,833,336,116,895,385,389,096,704,394,877,591,476,
908,174,333,604,727,317,088,406,123,868,108,962,104,378,339,913,509,328,696,
443,395,651,021,746,465,671,526,297,804,497,644,712,161,376,990,375,052,324,
070,918,729,636,606,133,051,651,504,579,344,798,797,262,853,703,993,394,476,
362,616,243,930,029,249,849,566,217,367,780,339,546,847,165,287,448,863,876,
532,493,875,155,570,156,862,087,930,169,617,933,461,461,407,950,590,243,941,
152,069,148,669,873,193,329,898,373,757,243,912,302,299,379,231,418,983,806,
551,728,854,222,403,829,099,074,106,347,773,377,648,365,386,913,906,348,866,
676,183,409,070,834,095,638,025,201,073,247,063,083,202,709,676,173,415,286,
867,984,857,271,792,107,623,246,623,294,448,670,099,367,621,251,139,645,107,
200,153,127,806,769,466,173,641,712,325,794,099,156,214,945,767,631,107,779,
134,172,576,655,065,968,345,070,297,050,867,118,292,970,157,373,921,958,795,
283,936,746,482,084,471,442,758,676,225,136,343,975,172,515,498,662,106,111,
884,889,399,258,790,276,610,656,865,608,432,761,131,698,503,437,586,121,598,
427,870,360,393,193,202,673,750,009,265,567,089,388,349,486,864,450,959,901,
896,682,441,677,503,460,181,442,365,554,133,715,654,277,447,161,386,465,688,
967,494,728,868,571,498,694,140,116,180,213,776,401,748,386,523,106,961,970,
523,233,724,670,946,320,914,037,364,640,095,485,040,526,005,840,972,800,982,
264,656,946,452,797,390,847,104,258,846,044,477,733,194,941,443,493,082,231,
915,284,180,103,681,105,028,962,680,648,842,689,016,081,478,213,054,235,883,
318,600,807,211,966,907,327,380,604,794,186,299,465,043,450,490,506,885,457,
715,577,222,247,525,624,003,413,485,319,579,133,174,851,432,776,558,057,962,
177,969,746,563,607,484,404,020,281,761,674,354,525,769,259,695,982,211,534,
931,041,238,346,434,964,536,296,868,912,696,711,755,071,572,938,715,485,492,
864,420,460,882,126,333,937,915,863,847,356,764,557,553,163,806,518,249,690,
218,602,078,048,727,053,283,103,621,314,897,138,800,837,063,503,092,435,969,
473,986,458,502,746,486,733,001,496,220,620,903,723,114,825,160,039,618,564,
734,987,531,208,112,862,014,547,859,268,012,642,482,983,882,937,260,742,499,
049,281,246,118,189,323,769,652,270,008,799,037,175,646,212,438,176,983,382,
390,577,212,830,803,618,274,417,902,688,807,554,165,913,685,945,631,905,064,
630,372,288,210,754,945,818,991,805,457,802,072,337,897,064,700,038,774,616,
382,944,186,973,113,323,986,915,324,502,422,444,341,093,366,186,913,941,855,
279,290,941,587,592,558,237,872,987,428,378,669,558,060,367,773,201,098,648,
351,305,454,561,079,419,259,022,243,351,283,757,755,207,819,270,643,064,198,
948,019,722,062,982,891,882,573,779,881,358,057,143,020,919,864,416,097,061,
428,500,479,117,691,989,687,588,873,822,605,876,486,249,719,065,031,114,556,
719,103,791,105,948,919,563,934,065,605,881,358,861,161,272,806,439,186,213,
245,623,242,502,132,156,688,497,288,202,363,719,531,452,450,164,541,277,515,
082,416,565,659,969,230,476,610,245,237,191,018,617,384,299,303,374,218,070,
594,794,372,855,270,733,507,515,709,080,017,086,315,870,943,336,043,132,138,
166,836,631,084,134,198,677,766,727,156,117,051,683,800,372,288,186,895,246,
754,353,766,651,247,880,731,425,046,340,159,594,484,646,721,735,491,949,118,
937,217,077,036,393,930,985,474,698,396,442,721,433,593,251,610,137,953,133,
468,897,872,750,889,817,891,079,614,146,355,612,278,145,501,540,139,364,445,
174,767,688,318,716,709,194,909,839,224,982,798,802,851,261,195,358,189,089,
363,455,243,217,498,358,686,990,879,070,421,250,859,908,959,264,782,998,250,
183,840,520,243,130,373,213,830,159,794,324,409,662,012,902,731,481,340,124,
565,941,579,294,255,920,802,784,062,540,713,275,996,034,728,550,311,881,225,
432,698,091,659,541,980,859,892,706,276,577,101,235,523,697,318,717,044,243,
579,373,079,715,222,612,613,047,995,412,074,400,444,299,409,806,007,706,231,
411,555,947,556,591,391,690,303,759,102,275,915,453,084,148,366,464,744,304,
654,853,801,847,996,105,639,681,030,146,701,296,748,851,075,217,616,391,450,
957,528,721,082,022,205,425,239,697,974,420,803,376,219,856,682,754,341,322,
426,924,256,959,888,939,377,884,898,092,874,475,597,186,610,734,299,792,825,
164,276,590,851,775,914,908,766,177,350,796,186,450,523,794,198,356,021,098,
910,563,253,622,103,053,494,042,925,537,311,878,757,948,894,215,827,266,207,
934,099,794,014,730,521,865,752,266,766,017,363,279,507,260,309,873,944,206,
239,559,369,682,415,265,981,311,004,176,436,999,890,771,809,753,326,230,508,
018,191,741,102,290,735,202,026,451,076,708,078,983,257,833,028,077,776,640,
060,253,598,189,914,316,495,956,443,196,576,841,720,362,071,606,329,574,109,
181,997,908,869,611,258,098,528,059,854,362,027,397,792,998,829,510,861,314,
514,905,156,237,334,683,536,221,251,334,349,264,630,499,729,509,033,268,875,
949,866,678,894,282,186,778,062,163,917,806,060,201,435,879,461,341,960,649,
603,680,919,576,963,805,266,124,784,095,689,310,038,578,063,448,239,868,353,
607,375,673,498,892,386,533,053,774,649,226,886,603,685,368,167,516,951,127,
802,693,108,299,071,146,447,025,979,258,960,548,611,766,128,789,079,057,219,
298,466,758,626,064,073,692,480,841,369,916,052,972,350,595,706,273,916,082,
186,550,797,347,326,587,825,618,734,440,888,277,059,635,708,947,849,491,368,
011,369,617,880,438,657,748,504,550,700,296,374,950,529,017,976,580,361,161,
465,332,731,895,836,343,639,808,867,651,077,912,087,651,600,647,128,405,807,
922,212,529,455,799,656,911,366,315,657,132,148,839,844,644,254,717,921,035,
208,886,349,321,357,666,295,665,987,775,222,608,275,946,283,679,539,864,276,
642,453,085,947,021,206,646,121,039,717,997,355,783,669,778,992,321,320,846,
196,882,256,330,976,517,420,701,234,005,667,522,831,736,781,437,979,147,726,
725,368,732,956,338,931,041,409,745,020,237,120,468,670,491,223,331,867,506,
887,569,664,959,051,198,204,627,255,654,170,890,077,038,200,365,218,977,916,
181,525,539,942,614,878,358,856,340,279,421,243,231,137,314,188,918,361,806,
929,315,241,303,139,025,371,093,365,058,571,193,455,058,640,856,733,732,378,
865,750,961,583,530,667,031,681,557,781,247,977,259,506,040,780,350,283,545,
815,666,371,117,135,383,340,751,443,352,311,829,099,254,069,560,869,530,498,
012,245,086,339,706,147,319,169,345,513,330,515,189,333,270,516,661,644,486,
085,034,725,881,327,696,788,726,886,585,534,784,986,629,701,467,844,950,455,
148,328,128,168,548,944,429,555,498,691,145,179,729,214,527,027,985,916,771,
938,600,686,021,258,781,525,024,147,425,935,120,236,114,199,789,024,596,715,
958,581,550,803,519,803,156,091,928,311,846,331,226,023,703,716,296,935,656,
306,518,641,208,712,841,860,296,220,235,572,288,805,847,336,224,891,847,653,
779,370,979,368,716,949,255,605,680,795,206,375,768,333,259,555,117,641,094,
419,224,909,973,564,073,522,711,358,849,885,894,424,511,652,147,201,265,049,
220,433,377,431,892,386,225,145,863,491,199,467,662,532,886,514,772,844,166,
380,588,609,996,620,934,113,517,201,158,670,066,165,050,900,798,554,509,808,
541,344,977,295,543,401,867,468,313,849,188,793,458,334,337,322,802,897,925,
645,081,819,581,795,478,488,368,873,860,313,534,958,665,132,704,901,238,530,
110,704,261,236,546,738,760,389,942,367,799,905,102,478,232,734,286,319,077,
152,769,086,929,657,201,543,099,676,440,732,804,802,678,213,879,124,068,686,
038,538,169,844,148,023,871,071,824,027,786,686,623,872,715,248,217,814,415,
987,986,692,638,538,415,701,977,597,168,823,509,358,279,363,740,162,468,253,
708,129,442,084,311,720,414,084,750,718,871,019,268,153,987,232,345,730,858,
394,895,331,507,565,766,106,704,715,724,177,098,962,205,839,055,571,420,475,
512,654,864,902,516,667,468,606,851,636,034,405,323,265,127,831,769,138,946,
015,611,106,203,330,964,918,335,438,690,492,006,852,229,352,264,149,125,649,
939,345,078,164,786,230,082,326,425,267,986,208,499,507,075,884,033,255,453,
619,242,399,428,062,802,482,042,834,284,409,065,884,238,012,933,568,580,099,
069,934,191,771,747,943,394,929,416,597,809,175,107,989,124,894,131,202,039,
280,869,961,704,327,387,520,651,114,330,073,788,252,639,586,697,708,763,672,
921,330,632,639,011,607,922,555,141,228,074,431,219,892,080,884,658,964,468,
610,812,128,234,637,307,671,902,027,481,886,193,768,694,144,547,011,943,999,
337,648,245,899,312,300,009,855,655,105,026,111,873,381,761,887,549,756,293,
746,328,113,008,217,164,008,022,880,971,432,443,828,326,803,117,004,654,632,
077,784,034,271,189,489,461,920,299,911,672,705,799,902,628,058,631,822,238,
390,526,285,989,688,644,571,094,958,830,900,086,392,115,769,701,917,013,071,
306,401,798,537,190,717,246,714,300,010,852,824,304,582,512,720,015,981,196,
104,021,863,585,573,481,467,102,703,644,234,200,985,297,952,620,722,080,763,
067,698,469,716,805,809,299,600,250,196,099,706,736,217,410,731,482,744,041,
200,140,075,438,432,802,956,451,813,816,020,219,035,711,261,672,692,445,675,
120,188,358,034,131,869,636,599,637,380,239,769,798,829,756,514,302,757,457,
161,994,952,837,190,356,470,640,417,054,815,202,663,960,207,840,723,569,161,
057,909,207,058,008,155,375,859,503,436,926,256,950,419,247,267,420,929,333,
421,164,068,501,289,142,758,840,094,736,311,917,717,039,309,696,232,553,397,
966,952,404,577,843,112,930,544,820,738,024,692,497,041,976,165,208,547,621,
992,691,319,226,651,864,522,355,256,385,931,356,526,854,790,082,783,110,337,
368,664,656,686,906,744,466,806,507,865,822,510,119,012,817,824,584,192,823,
243,622,561,164,190,220,180,393,490,812,990,668,807,098,661,303,084,438,974,
957,281,150,647,857,964,828,812,811,249,309,170,605,812,485,157,064,437,444,
342,075,390,523,736,348,736,022,725,471,836,912,089,761,181,930,942,331,235,
216,992,185,934,994,516,878,223,540,190,320,443,473,954,877,285,227,265,547,
449,171,904,191,534,280,718,022,723,884,965,810,262,409,105,397,064,869,568,
706,915,223,491,779,595,859,866,726,746,423,331,202,612,674,799,762,218,582,
874,864,894,370,594,766,517,351,957,204,138,022,153,774,995,838,093,526,113,
597,333,417,639,958,532,706,241,592,464,873,689,732,684,939,277,503,514,698,
086,750,722,613,527,439,803,211,492,378,776,374,934,551,536,736,034,573,004,
639,833,473,133,447,469,214,968,833,471,775,355,537,317,623,532,657,900,913,
390,549,525,914,868,881,153,717,591,050,272,762,020,985,124,955,855,667,434,
978,848,320,870,644,495,820,975,513,940,322,594,763,823,102,750,758,405,779,
736,156,599,328,061,708,641,603,709,897,598,727,310,512,872,461,035,992,192,
065,457,546,923,406,146,403,296,800,000,191,280,199,873,594,610,018,059,891,
755,682,076,897,316,871,707,007,949,506,060,411,067,224,516,114,876,165,476,
180,525,027,317,161,184,271,763,924,421,291,616,673,886,393,249,489,969,158,
787,162,414,011,981,961,354,233,801,177,516,891,622,500,344,350,784,007,569,
075,766,370,680,569,098,606,681,385,252,891,079,498,103,310,921,769,479,350,
668,744,809,310,406,329,941,985,389,757,521,322,006,079,500,833,904,958,675,
099,700,708,284,025,665,103,729,211,198,380,003,438,846,761,515,630,990,197,
477,132,176,857,073,461,123,505,536,761,721,173,876,252,954,351,837,059,161,
104,325,094,815,097,756,248,959,042,871,397,344,800,599,707,371,920,279,320,
511,225,165,179,418,856,262,928,296,340,794,774,527,104,344,153,965,834,053,
334,335,729,114,330,763,858,927,438,817,978,782,494,900,704,753,651,613,314,
902,235,937,813,232,350,972,273,879,487,308,037,646,563,667,108,582,629,956,
445,386,020,916,248,351,107,611,398,599,059,549,649,674,058,438,574,969,950,
253,735,623,929,121,552,490,839,605,157,262,790,521,402,424,387,188,160,307,
584,664,901,756,876,814,110,480,098,776,008,410,837,914,495,267,768,175,356,
214,900,906,630,251,215,935,216,237,162,494,920,977,249,024,471,369,210,728,
545,844,830,001,981,893,371,301,654,838,318,894,741,880,551,107,477,130,742,
275,999,605,783,144,482,076,495,816,633,791,311,897,167,173,562,432,689,391,
499,067,693,633,423,353,737,602,187,659,881,694,364,385,012,495,329,192,959,
418,405,638,011,198,699,874,205,459,349,094,015,889,268,418,688,640,610,662,
387,840,167,582,108,225,779,146,001,327,458,391,600,509,863,158,335,503,624,
187,490,539,436,183,235,254,235,505,191,401,930,795,335,006,584,170,144,239,
080,129,555,288,160,106,242,265,208,641,760,851,061,339,820,599,934,630,420,
425,919,960,091,033,068,887,738,751,809,589,533,294,903,852,602,120,667,915,
955,844,333,575,683,074,446,102,429,299,136,477,663,115,169,563,021,315,003,
935,718,368,808,154,269,166,328,872,851,389,707,187,886,035,065,146,053,360,
946,966,319,933,257,499,591,913,667,227,003,626,567,966,690,435,604,582,070,
086,877,825,231,236,271,764,976,521,735,278,542,165,291,908,867,902,053,240,
742,160,061,849,799,327,458,815,347,843,292,536,915,247,082,090,603,423,078,
084,422,136,647,246,862,569,903,073,243,816,873,686,357,182,983,954,058,163,
042,225,761,663,553,305,998,416,184,654,233,511,086,563,525,354,597,416,653,
429,088,036,501,874,079,251,100,527,974,316,014,579,128,251,325,332,010,666,
680,562,179,769,383,194,252,426,265,983,953,967,708,877,919,203,703,098,069,
492,207,614,697,777,493,285,633,660,003,751,680,654,568,700,638,592,030,330,
054,229,281,441,765,477,447,688,509,996,208,571,788,933,586,837,999,017,187,
227,524,338,032,107,841,674,990,233,816,457,164,139,354,483,052,121,470,558,
377,471,231,039,249,271,824,503,881,635,353,076,156,036,457,294,313,817,300,
616,793,676,664,441,432,151,499,040,716,581,509,818,143,542,783,741,009,926,
792,468,273,826,572,866,866,971,719,673,173,863,708,610,889,626,665,708,873,
445,144,656,269,772,362,477,624,763,196,985,867,862,594,981,691,922,836,672,
099,161,203,025,473,766,308,103,317,925,836,713,841,693,866,676,159,431,052,
080,545,512,662,841,688,295,743,568,002,729,278,605,167,273,068,347,168,384,
257,741,293,689,138,017,726,198,891,421,086,061,746,294,497,089,153,898,172,
488,062,859,303,937,283,767,705,825,830,125,092,443,528,373,836,148,735,574,
622,652,942,963,469,057,820,624,151,125,600,974,595,370,110,238,107,627,135,
572,698,991,947,359,958,083,872,683,646,210,698,737,202,599,061,420,668,422,
145,796,195,540,857,488,950,014,023,211,920,803,963,291,611,002,217,065,055,
910,665,417,874,362,098,272,604,043,927,359,440,306,127,662,162,643,751,504,
534,307,661,176,270,127,197,852,385,357,138,351,062,031,328,099,845,876,612,
847,830,359,135,276,964,815,531,267,164,865,941,989,771,514,375,594,433,696,
300,080,289,879,859,378,223,870,948,349,069,915,630,303,026,094,881,704,166,
503,239,221,547,897,941,776,760,316,650,373,923,910,407,224,856,220,549,637,
539,342,596,592,065,360,551,631,517,223,128,783,126,291,292,752,069,930,542,
732,666,978,183,188,664,792,390,222,456,323,842,136,283,251,819,739,367,880,
584,865,437,017,571,680,356,361,615,525,140,455,844,447,575,163,652,384,379,
251,266,189,100,462,214,067,586,417,239,181,433,201,574,004,354,606,583,848,
148,313,805,295,816,904,238,742,277,383,258,212,456,551,540,321,517,763,663,
753,981,851,977,620,603,077,013,689,466,374,235,224,684,609,562,215,650,148,
178,259,895,102,048,728,280,255,910,375,794,276,792,966,701,259,043,129,823,
837,749,554,311,615,624,435,921,156,050,698,346,444,963,443,510,751,494,028,
748,367,425,685,845,725,402,231,443,860,741,430,710,691,587,684,298,170,794,
801,962,255,238,864,181,506,789,912,404,604,903,927,457,846,022,141,736,779,
090,322,542,738,776,807,598,641,388,522,596,698,494,515,768,467,667,599,489,
650,831,584,469,123,541,158,787,499,810,041,267,958,800,648,450,369,195,722,
896,886,018,728,715,982,951,759,341,519,388,607,070,886,613,749,436,392,168,
889,025,545,260,621,849,986,800,972,401,397,703,267,031,951,841,686,355,061,
275,286,286,632,854,903,234,948,696,869,947,448,162,294,517,994,832,336,546,
015,213,902,028,490,796,205,701,107,397,363,530,662,099,950,049,058,564,805,
494,035,791,555,611,075,658,786,531,133,853,379,631,240,050,851,982,786,363,
412,495,065,097,745,662,792,538,624,544,219,842,910,050,273,963,251,814,808,
248,056,156,981,670,789,858,390,081,625,731,729,651,151,654,886,267,672,548,
142,574,105,858,513,912,047,670,074,373,646,951,278,897,249,382,420,254,865,
798,912,177,522,252,436,704,262,649,085,842,132,769,980,101,017,954,023,210,
388,474,310,051,677,137,776,219,203,662,639,649,235,159,970,664,102,888,086,
688,286,858,629,484,374,160,092,563,006,114,290,644,946,933,650,976,023,588,
231,293,464,726,711,033,173,603,964,288,956,810,070,628,385,737,469,968,907,
649,806,337,573,763,565,326,866,285,526,627,540,944,951,924,983,910,778,945,
980,680,953,912,742,666,180,690,818,363,638,580,210,396,910,011,148,740,654,
340,410,894,330,672,208,633,076,795,664,139,495,840,119,082,889,189,040,044,
991,291,454,448,463,351,112,775,443,670,329,529,563,502,417,348,569,489,452,
830,147,966,131,463,824,740,148,230,685,302,744,967,603,258,785,638,443,833,
146,973,342,239,490,088,115,161,504,641,745,373,823,680,186,344,775,476,648,
505,519,729,283,628,540,738,585,422,157,557,719,261,336,954,265,057,873,825,
005,596,254,537,293,015,852,566,501,641,664,759,886,474,911,397,402,163,816,
872,158,929,946,590,737,573,296,257,201,370,750,138,610,423,139,246,551,760,
788,053,185,463,533,890,504,782,518,055,094,196,789,348,450,158,810,904,513,
450,028,371,712,819,194,254,608,995,121,999,367,289,362,620,741,162,002,256,
154,244,822,668,452,514,596,427,701,022,929,144,323,953,413,243,192,116,173,
414,787,239,484,430,387,169,577,127,760,335,628,246,641,369,697,367,623,117,
350,231,845,473,282,800,949,514,237,285,907,767,761,384,857,138,007,598,556,
341,142,360,151,402,574,287,029,798,318,947,831,525,358,115,982,638,529,763,
000,751,930,562,155,272,152,583,539,338,880,373,848,292,142,853,547,978,144,
289,037,905,585,893,666,542,885,955,624,298,845,685,624,230,227,789,226,984,
152,532,335,148,610,264,029,756,359,506,547,872,975,084,618,665,122,130,813,
960,887,669,340,895,151,447,122,450,031,990,828,423,074,958,022,328,135,611,
345,147,559,841,407,724,396,515,915,167,175,897,913,474,493,144,199,585,850,
268,927,768,530,757,717,509,779,585,166,057,432,457,378,871,751,997,654,248,
546,185,644,217,433,567,447,450,485,918,541,878,515,806,007,372,340,892,516,
335,855,027,744,717,783,321,923,006,749,893,061,815,942,652,641,121,707,072,
772,168,497,491,859,702,486,664,836,370,933,147,380,586,991,405,828,555,271,
529,399,092,214,822,104,267,483,369,097,544,953,480,663,106,322,750,439,584,
824,544,571,654,897,025,188,009,639,466,910,799,429,643,899,904,239,787,579,
218,154,030,594,022,699,758,865,246,346,082,865,426,967,140,841,679,980,936,
123,021,345,185,000,017,052,578,845,325,906,822,377,695,351,484,005,013,739,
402,569,459,782,814,819,001,642,901,993,656,526,040,607,304,911,227,769,568,
112,230,239,243,781,364,253,219,463,508,460,647,893,597,783,328,552,176,701,
112,555,116,990,349,602,231,738,879,137,455,325,736,687,003,091,151,891,238,
894,437,994,549,009,304,881,445,286,887,005,167,312,114,675,098,151,704,205,
848,174,744,463,221,085,130,325,506,779,279,760,470,213,299,786,654,367,307,
052,720,503,317,987,941,213,251,989,805,015,168,392,212,312,366,202,960,623,
448,019,070,628,462,437,756,469,987,176,257,962,290,845,655,063,147,393,371,
286,147,952,751,226,812,245,165,962,097,945,283,379,791,733,390,673,860,036,
348,252,694,352,632,568,038,660,491,411,299,733,547,463,438,286,442,494,832,
649,709,535,755,747,823,133,350,708,896,433,383,160,530,180,455,360,033,482,
600,550,371,763,690,655,806,318,106,299,185,930,437,853,740,376,555,876,789,
606,067,931,505,712,026,388,282,847,408,318,023,290,832,800,407,287,133,645,
051,866,661,644,403,621,038,415,689,925,999,641,562,838,013,668,418,932,664,
538,764,481,076,533,303,998,058,979,427,576,954,407,123,696,938,269,217,390,
760,422,483,486,275,208,436,722,188,145,990,337,185,770,292,154,217,084,399,
630,388,997,863,489,802,345,624,742,481,017,247,094,955,343,324,997,335,136,
031,610,319,654,720,435,674,689,537,231,008,845,810,678,478,258,097,655,500,
135,464,481,116,900,207,166,198,860,887,877,405,243,307,086,253,288,577,996,
145,790,073,210,377,719,018,085,310,861,615,627,709,231,558,274,878,229,763,
304,131,972,297,117,987,420,828,992,273,113,190,842,448,491,509,792,993,106,
363,429,006,305,573,609,402,971,526,295,902,749,852,625,835,123,053,703,936,
713,909,790,151,076,743,412,428,247,252,083,463,725,064,567,013,065,032,497,
230,585,452,914,739,849,800,991,369,272,973,562,743,060,990,958,814,694,258,
308,446,909,856,164,500,001,431,385,849,987,546,047,287,305,667,601,383,577,
521,007,381,391,078,777,485,011,558,873,037,306,272,354,314,699,332,567,952,
918,137,123,087,744,231,191,156,976,698,924,374,617,414,941,256,766,314,117,
994,552,524,082,186,135,112,660,304,311,008,284,422,502,267,912,109,822,975,
983,452,054,010,029,801,805,045,754,493,051,476,721,340,065,199,316,830,971,
449,750,797,398,863,292,449,783,131,882,043,847,363,221,021,719,324,742,759,
628,966,698,793,610,346,365,979,051,652,493,211,346,211,894,072,243,451,249,
623,147,563,405,773,688,317,415,959,218,975,436,720,283,860,778,078,693,692,
231,855,663,951,469,289,456,978,994,335,947,075,608,307,795,358,629,793,466,
558,993,042,752,076,288,543,464,361,562,731,299,013,944,384,115,517,906,972,
675,592,593,247,805,149,501,389,363,342,664,988,669,609,030,247,947,520,053,
528,208,036,597,377,662,777,311,403,699,302,840,907,762,875,144,759,403,334,
094,211,499,172,836,932,239,702,990,198,821,983,792,503,327,703,716,771,608,
980,912,043,473,886,612,985,018,783,631,206,302,777,226,165,904,862,663,772,
649,800,173,864,332,393,287,812,854,656,404,508,763,338,952,221,113,165,306,
344,717,545,538,141,072,058,327,780,836,415,315,084,265,558,672,281,654,722,
846,148,596,020,182,841,800,761,814,673,237,961,166,879,510,100,822,134,531,
689,904,978,676,426,602,909,651,761,698,767,379,458,308,777,680,009,925,361,
648,267,081,838,892,818,081,099,078,820,817,518,432,269,271,063,737,884,055,
579,156,231,933,109,255,033,835,421,279,237,394,884,408,316,807,047,289,943,
667,554,715,466,006,447,822,905,734,838,283,559,666,962,990,554,855,058,901,
972,265,522,555,174,072,645,623,391,883,367,252,895,283,676,653,839,081,551,
685,976,080,908,491,145,549,572,104,174,363,800,726,003,290,131,785,454,396,
149,481,210,579,100,985,416,143,351,124,032,556,809,522,509,505,930,325,768,
171,054,768,324,060,193,274,052,836,457,422,122,042,012,928,161,217,921,924,
282,139,228,688,168,461,816,706,843,195,945,427,490,740,004,552,980,467,653,
673,652,985,035,180,796,632,227,165,067,677,821,190,840,078,800,340,741,439,
860,606,005,121,091,057,602,736,199,904,372,115,797,839,657,820,164,073,342,
549,574,216,027,603,928,154,541,836,545,078,444,870,924,619,014,656,623,562,
143,390,950,616,254,700,848,574,791,073,591,097,982,216,912,767,438,434,903,
444,758,367,599,081,735,446,470,121,814,734,127,031,205,603,496,340,830,662,
011,865,261,108,534,724,540,674,534,516,015,384,121,247,908,326,252,248,631,
131,875,719,681,361,921,243,397,334,386,317,295,622,157,423,481,358,485,146,
874,735,840,161,402,684,268,900,080,752,477,783,599,807,387,573,563,999,445,
986,217,993,265,066,142,728,290,311,135,896,333,746,420,090,516,818,635,826,
595,486,178,238,286,196,247,534,471,151,950,333,614,411,967,545,688,069,936,
411,628,076,904,376,059,060,571,162,228,218,241,030,863,595,406,056,541,458,
690,424,683,395,394,397,351,422,320,501,289,672,850,287,222,603,597,130,485,
069,018,795,307,908,934,097,114,703,279,375,897,679,508,599,897,279,001,985,
367,619,427,258,304,349,401,788,398,860,389,911,869,802,664,556,184,171,705,
581,807,815,835,447,277,944,898,742,229,316,303,953,837,955,277,900,266,656,
312,508,502,606,517,212,863,767,342,155,249,912,769,986,799,182,525,407,226,
023,998,042,686,309,883,692,751,375,588,676,843,974,344,239,272,633,649,686,
108,317,359,963,481,038,963,481,182,753,092,212,437,592,272,442,097,318,627,
843,302,428,052,144,825,460,512,013,707,122,341,213,955,749,591,395,257,926,
516,943,577,116,893,876,754,804,650,509,117,202,288,019,486,373,640,941,299,
714,492,949,712,896,026,989,338,213,877,903,899,635,244,565,161,766,578,358,
000,917,247,761,550,641,290,710,079,721,019,374,716,729,682,371,870,822,325,
067,303,690,447,577,575,871,325,793,975,071,312,461,938,684,326,131,717,703,
160,020,279,284,112,812,365,161,522,802,082,457,166,796,266,215,178,398,201,
280,100,327,010,168,175,120,160,827,064,159,025,938,568,577,320,130,451,525,
149,949,925,340,434,926,927,882,123,268,822,433,792,901,768,046,562,381,641,
275,758,378,225,047,375,013,488,592,657,276,790,886,944,998,395,059,778,301,
369,111,335,613,709,929,306,387,208,656,310,769,874,065,455,726,949,960,256,
522,921,293,454,690,105,488,137,760,352,704,677,034,371,316,603,059,376,913,
588,523,702,558,187,723,210,600,318,840,068,274,592,497,082,886,371,292,584,
896,769,370,035,266,016,876,390,887,811,680,664,496,244,488,365,215,876,451,
757,196,570,969,425,270,583,787,175,244,659,197,363,220,996,204,221,996,757,
309,496,822,046,935,271,229,658,175,376,137,084,583,288,052,238,218,254,969,
953,859,922,796,903,863,163,637,591,363,540,881,915,564,894,461,447,842,318,
407,534,974,478,735,161,489,590,033,816,084,981,366,996,643,662,469,309,957,
713,678,710,076,080,395,312,754,133,741,469,083,779,465,958,166,022,860,330,
533,867,614,634,463,675,670,747,512,634,252,312,454,415,235,355,576,295,359,
331,055,344,374,777,666,916,728,404,627,036,533,427,151,831,793,250,355,346,
923,213,777,134,850,448,367,124,829,262,623,816,053,899,977,790,224,483,748,
872,525,488,136,528,395,859,924,434,004,538,360,170,502,495,308,857,516,949,
050,962,200,612,919,367,449,891,675,158,816,109,386,703,745,581,913,592,476,
406,164,427,832,320,143,818,472,134,741,282,475,182,496,849,313,346,056,529,
740,177,979,678,560,870,223,560,768,624,605,062,955,883,246,739,732,490,976,
176,172,357,935,972,209,942,742,692,098,592,138,393,140,266,722,807,323,809,
846,730,152,171,578,838,373,367,595,072,582,168,378,921,277,005,339,917,330,
479,361,910,527,424,301,345,814,508,622,598,239,846,104,569,682,664,915,413,
761,854,699,222,705,410,799,557,539,136,547,922,042,587,075,941,035,465,646,
100,939,087,976,361,105,092,155,509,314,385,576,585,898,567,436,236,526,882,
120,287,943,098,156,888,059,667,545,991,418,418,215,634,163,640,295,465,697,
066,910,462,169,919,568,583,031,202,013,180,375,344,277,522,674,580,439,074,
678,514,526,037,821,557,700,411,001,302,577,321,191,819,827,078,545,851,581,
693,683,724,377,840,147,396,913,597,678,676,847,723,290,781,741,585,789,280,
470,497,743,801,459,078,957,705,592,897,660,570,308,734,759,760,362,751,326,
095,274,938,952,055,230,776,726,770,378,995,452,874,328,683,297,425,826,861,
733,036,883,269,392,010,918,446,664,953,312,997,151,740,479,905,195,972,367,
834,730,489,662,638,789,732,225,519,148,785,726,253,911,795,334,288,866,652,
573,335,023,149,542,527,914,228,612,476,084,857,700,364,927,216,463,055,634,
756,194,577,600,164,675,158,796,177,577,530,635,915,174,808,360,625,898,003,
216,051,745,390,813,292,769,497,304,016,593,897,565,118,143,303,220,906,422,
876,350,892,023,519,184,307,376,110,003,771,163,796,045,414,654,156,098,426,
942,349,413,967,251,041,410,331,369,064,262,216,060,949,041,358,857,190,579,
138,249,761,588,948,168,208,601,479,401,563,572,969,514,844,576,006,341,756,
486,581,105,474,529,447,778,902,336,342,239,875,990,033,011,028,974,081,564,
038,496,075,104,372,948,690,877,065,842,505,305,613,559,561,809,582,500,984,
804,798,688,973,070,948,345,191,344,970,892,502,602,493,802,324,582,655,100,
294,106,075,765,220,813,965,264,245,276,733,165,524,335,319,378,154,618,814,
719,631,430,501,587,139,561,886,417,406,185,453,625,940,529,723,647,971,803,
855,157,973,786,165,663,178,876,794,702,068,275,536,647,383,912,376,000,302,
541,504,179,544,102,164,769,644,890,427,799,318,697,391,026,911,655,441,606,
017,801,679,688,874,795,944,281,235,643,853,114,218,805,630,689,312,267,096,
360,498,150,839,244,672,188,915,265,943,860,492,911,598,331,183,154,689,865,
034,259,239,042,216,827,059,482,220,084,656,555,867,576,106,209,285,993,182,
481,041,602,920,524,069,378,218,605,596,605,749,388,171,233,373,168,684,876,
001,588,305,832,946,276,963,306,048,477,332,426,847,997,226,150,829,944,929,
886,951,523,619,199,689,847,435,955,046,941,513,285,358,804,166,861,246,878,
643,585,911,672,745,082,131,515,392,575,664,854,763,035,581,362,898,667,578,
251,835,599,720,205,523,094,327,281,243,120,931,439,805,452,622,071,678,685,
641,726,208,816,805,372,448,578,598,941,336,125,031,849,324,436,036,784,517,
776,613,086,318,083,327,184,760,979,057,077,474,924,487,096,876,786,840,210,
922,754,132,746,660,102,127,638,720,114,322,464,642,380,358,868,954,559,852,
142,788,400,907,156,902,176,434,188,227,291,286,655,306,760,531,633,120,974,
370,304,097,634,553,575,098,883,636,612,072,033,410,730,222,081,905,235,117,
390,617,981,483,903,290,829,242,686,312,208,315,355,266,562,338,825,936,282,
751,119,438,188,527,519,425,636,723,316,054,778,190,538,899,444,227,341,091,
121,464,102,787,497,080,390,202,003,112,746,877,827,687,378,509,367,699,951,
799,114,999,895,763,673,020,717,248,625,235,197,679,502,876,762,001,709,669,
325,369,391,279,156,593,008,416,984,989,286,214,673,541,645,539,693,612,744,
374,987,543,036,969,234,702,331,238,826,890,330,579,429,340,438,685,211,411,
852,004,476,707,848,079,197,297,427,584,688,493,784,746,091,393,539,570,273,
672,768,692,987,728,423,242,596,577,790,571,917,895,864,290,281,178,680,852,
792,993,126,103,614,729,807,707,943,039,437,961,990,240,249,314,003,738,933,
215,074,772,702,294,335,440,957,316,536,233,145,287,700,419,111,442,929,570,
490,305,493,351,242,924,866,524,455,786,848,548,128,858,748,172,050,985,120,
256,148,519,712,408,976,379,774,856,357,764,094,371,407,724,818,576,711,522,
928,883,321,954,467,501,857,961,732,544,642,160,498,781,935,711,705,778,801,
481,156,789,756,231,009,720,288,907,057,322,867,812,500,608,092,192,010,190,
631,428,330,357,593,385,226,411,740,989,734,784,801,686,832,974,189,460,764,
822,775,247,831,179,794,235,738,082,237,238,319,475,828,561,702,587,561,156,
026,397,236,016,669,180,786,346,304,871,863,366,215,296,101,251,237,972,327,
899,004,157,045,170,109,011,214,796,496,145,860,583,224,142,816,901,228,256,
166,043,341,034,630,373,858,837,791,298,478,470,591,151,220,982,893,181,600,
291,314,429,354,965,050,783,694,236,315,127,705,796,442,043,611,337,223,011,
413,768,909,459,686,054,495,453,308,836,472,233,827,284,531,390,392,389,673,
231,561,499,156,493,985,245,878,614,811,961,557,307,125,631,713,844,514,031,
676,698,446,814,507,951,738,323,744,600,874,181,065,934,106,751,383,359,455,
119,248,699,005,507,195,567,604,311,119,755,249,846,890,606,952,114,970,908,
662,673,332,086,315,859,934,850,652,294,644,214,169,977,887,710,521,075,666,
138,146,263,160,152,364,350,332,047,352,057,326,041,873,135,868,304,948,946,
055,609,240,481,237,203,329,949,036,444,422,196,131,499,515,848,596,964,709,
131,112,365,361,579,761,706,381,062,384,446,472,868,821,632,498,211,954,874,
943,169,760,891,031,629,946,434,583,316,397,979,055,803,894,475,710,842,686,
235,709,080,374,909,347,438,716,186,164,111,114,141,287,727,524,040,871,595,
574,866,925,175,494,859,366,203,695,582,347,416,061,278,462,242,408,212,452,
341,498,245,663,203,562,001,965,373,275,218,261,352,749,015,263,241,708,032,
959,404,097,438,874,861,477,429,868,613,267,858,104,280,488,190,896,665,342,
714,656,254,837,574,450,539,230,323,885,707,847,564,095,315,470,526,515,244,
615,094,800,446,626,104,128,608,194,335,495,039,227,193,093,808,563,703,587,
804,343,147,580,609,755,611,474,506,655,925,057,150,648,539,042,002,892,399,
319,715,434,119,499,368,800,606,866,158,768,579,935,503,694,310,004,522,894,
211,729,294,825,267,235,748,241,777,471,359,613,310,886,332,590,684,212,994,
821,550,335,378,467,575,564,095,517,120,634,914,261,307,256,144,356,417,146,
868,589,023,836,623,325,712,617,887,113,025,337,521,925,479,434,607,745,270,
421,764,551,156,180,522,933,951,361,819,454,560,361,833,510,228,620,398,711,
798,148,026,246,004,261,149,819,020,437,938,954,277,353,309,452,801,842,684,
937,205,441,611,858,747,621,498,539,921,983,373,390,189,016,369,140,347,650,
914,407,016,428,550,395,485,457,010,138,286,160,942,405,816,426,340,561,802,
364,704,946,654,355,884,200,508,272,100,283,224,245,826,037,638,554,473,356,
071,926,179,185,517,958,827,887,452,931,999,603,508,329,856,619,854,557,166,
466,126,888,128,014,106,312,432,381,956,937,222,594,712,474,724,106,897,084,
197,074,859,414,314,972,941,633,180,605,864,565,676,945,416,009,145,221,981,
424,322,829,030,562,687,911,488,884,582,059,597,713,785,997,957,540,245,307,
970,839,671,575,559,163,258,690,416,876,542,375,653,115,798,889,234,537,036,
906,270,718,490,841,828,189,167,322,157,186,692,762,566,420,568,662,007,174,
744,149,772,260,766,745,452,107,249,994,670,984,013,119,270,419,576,340,957,
307,333,137,571,192,441,255,388,744,758,363,774,196,874,844,387,580,384,275,
838,286,194,184,038,195,328,166,906,264,062,726,046,924,117,559,212,001,837,
750,061,965,395,774,253,331,997,412,186,864,178,591,468,071,775,827,368,011,
743,891,377,046,535,064,021,107,843,192,804,164,619,728,503,667,034,282,486,
850,186,478,871,411,042,730,681,190,961,352,987,433,783,528,339,341,014,811,
832,324,035,097,970,279,079,364,510,800,507,577,474,926,528,906,813,152,827,
864,183,515,873,235,180,232,881,096,673,290,387,180,494,817,316,864,393,067,
166,660,384,060,188,767,091,807,497,605,426,946,666,707,709,039,006,356,229,
648,246,500,069,229,156,213,612,523,753,991,783,908,185,982,763,912,657,321,
980,052,449,271,131,213,084,106,594,839,933,545,105,513,712,092,366,325,460,
397,749,534,927,187,115,065,217,477,557,995,262,712,437,818,143,844,726,516,
080,638,890,824,384,097,536,250,062,834,757,965,682,324,121,487,219,899,651,
908,687,351,902,829,569,150,352,004,586,318,038,421,709,175,978,395,452,710,
350,917,058,387,683,244,522,647,520,426,694,119,118,872,531,304,854,359,510,
248,176,335,883,612,695,727,024,101,997,816,704,708,085,380,743,029,061,603,
919,984,440,161,879,841,740,754,436,686,317,785,269,040,299,781,886,339,498,
060,112,625,222,539,153,365,563,870,228,728,109,029,756,433,527,227,882,753,
527,811,881,472,526,630,962,569,887,349,670,031,359,432,436,961,437,892,169,
472,359,224,524,900,068,916,667,144,653,271,817,301,393,205,138,242,521,958,
780,235,055,149,218,052,487,484,512,035,533,767,926,433,338,081,334,199,318,
202,720,162,791,878,430,348,882,870,845,607,107,272,721,745,234,297,276,766,
820,277,384,761,908,214,007,959,734,047,712,485,895,285,740,856,665,605,967,
986,906,987,871,216,223,287,897,826,895,237,879,767,921,699,792,044,705,557,
049,485,719,215,007,519,318,733,957,433,753,322,289,248,936,498,471,499,996,
156,753,787,241,393,036,481,313,722,991,003,144,182,060,487,422,473,470,776,
996,636,945,223,730,205,593,405,983,223,893,196,714,519,053,844,364,529,501,
271,000,519,606,963,525,870,011,464,791,332,974,967,914,364,370,833,609,720,
312,375,268,169,096,135,123,739,768,384,599,618,404,812,609,067,685,605,466,
439,576,315,260,523,871,530,161,514,200,043,121,501,445,301,137,442,915,151,
678,036,075,100,040,846,717,660,664,242,767,195,585,567,949,389,413,796,277,
529,270,138,334,591,552,664,043,523,538,867,156,242,407,295,397,520,291,172,
529,021,747,587,936,951,766,969,041,342,880,601,657,891,241,485,393,363,712,
907,367,687,450,437,078,985,296,709,429,729,671,350,091,401,384,436,250,555,
334,147,808,778,551,948,339,073,981,317,189,264,351,009,985,175,848,626,532,
889,051,515,627,985,468,470,497,170,403,125,519,769,926,722,804,911,182,675,
141,555,799,420,203,351,960,284,924,065,232,867,937,468,399,956,333,959,192,
494,900,632,696,564,405,448,730,893,080,440,646,851,852,461,264,395,177,004,
165,729,065,972,052,248,587,763,838,824,502,948,072,546,404,084,267,849,167,
682,768,015,294,300,452,890,808,726,264,260,933,685,763,185,490,097,017,190,
978,123,265,005,038,990,913,660,541,964,293,654,421,376,117,390,703,866,505,
663,484,745,097,570,239,030,572,201,066,926,899,405,300,775,093,554,244,894,
283,588,867,149,243,086,133,843,336,964,498,358,490,952,553,583,227,293,383,
540,870,491,901,900,580,214,284,586,673,501,204,734,936,094,909,841,919,501,
567,421,783,639,781,574,710,200,373,488,001,016,007,389,334,086,400,510,698,
292,092,336,928,285,600,924,808,228,383,322,173,614,963,852,862,477,554,073,
767,496,376,365,006,417,281,147,538,746,829,356,428,684,829,073,949,622,944,
887,907,317,303,461,143,452,290,095,435,166,466,814,630,660,673,266,017,387,
676,299,123,367,796,433,562,140,787,965,105,276,128,075,764,183,051,411,768,
467,010,569,390,080,015,564,800,158,063,346,410,186,668,089,571,922,462,820,
350,033,621,673,252,686,104,036,743,922,771,167,671,752,928,857,258,357,235,
074,363,906,521,529,755,637,065,459,768,978,148,679,033,451,983,938,002,564,
122,795,735,615,656,543,071,597,379,662,369,716,793,105,929,294,523,511,815,
427,812,006,297,857,501,519,557,522,055,605,677,406,583,615,879,716,058,522,
114,739,587,843,489,416,571,662,414,938,171,589,358,670,172,052,550,485,791,
605,621,821,067,042,330,438,960,524,526,762,703,549,764,699,050,119,708,258,
295,771,855,374,148,686,893,585,713,109,287,275,551,817,322,679,040,784,331,
805,186,562,316,323,743,322,297,184,796,651,083,016,137,439,644,629,169,501,
749,245,076,441,897,725,125,511,019,379,104,296,203,601,016,128,370,875,319,
258,835,693,542,572,787,774,574,862,795,062,356,855,097,336,607,762,174,376,
724,641,447,913,943,221,805,433,902,431,523,494,015,073,016,815,618,396,732,
901,691,849,996,726,088,130,658,825,026,828,442,302,421,915,510,216,184,231,
485,754,593,949,012,469,954,425,907,563,390,510,931,699,198,895,401,148,646,
959,549,710,055,930,684,680,875,084,979,755,329,515,709,131,395,972,015,951,
752,401,971,640,698,820,650,666,308,817,193,591,441,985,457,228,977,152,790,
155,982,844,524,490,978,941,277,351,847,881,722,810,324,549,237,981,574,925,
640,625,483,168,939,624,868,865,903,916,683,494,893,147,757,866,530,189,441,
879,942,123,610,768,487,678,412,847,899,169,206,716,184,984,004,455,193,699,
280,374,215,434,057,517,979,418,893,899,803,769,740,632,128,910,133,441,042,
595,587,378,125,229,064,092,348,299,694,584,450,078,472,759,788,811,038,253,
605,240,211,535,052,375,429,791,779,975,229,419,181,029,208,479,163,259,268,
129,283,455,238,785,591,669,099,456,712,226,585,142,329,032,198,631,671,550,
354,174,756,344,447,849,771,446,662,478,214,028,568,887,203,608,201,542,795,
352,812,290,785,122,241,392,546,781,566,616,296,599,485,669,119,685,182,867,
269,819,108,373,700,655,136,839,566,290,972,670,483,904,460,920,448,174,282,
465,970,739,385,005,406,868,355,772,118,259,341,785,618,231,634,994,739,499,
967,122,281,180,171,030,116,159,251,917,359,453,862,465,502,721,914,776,350,
354,822,504,177,726,691,667,992,916,904,225,591,038,995,475,786,236,838,686,
324,407,257,067,036,299,685,981,075,928,802,736,190,062,057,532,200,514,320,
296,223,971,255,518,370,224,533,559,295,571,617,023,942,031,662,783,986,727,
896,302,004,116,861,420,666,188,917,962,606,978,302,237,580,457,463,254,010,
912,112,327,288,492,088,017,268,698,170,230,414,821,514,621,279,780,394,565,
380,906,751,059,635,018,124,860,587,715,574,387,976,603,172,787,829,890,583,
137,091,721,727,596,830,481,251,602,513,914,031,166,416,122,109,571,144,265,
406,213,575,415,819,620,482,849,780,925,039,134,749,446,960,712,435,864,922,
761,156,802,136,206,468,682,684,395,067,582,060,814,835,506,962,953,099,062,
783,689,710,531,915,442,383,220,826,394,507,896,026,527,631,889,367,374,068,
019,846,721,141,749,478,987,620,414,308,059,128,617,850,335,615,106,623,075,
496,033,642,932,593,324,365,744,520,993,905,805,080,828,355,332,694,494,314,
022,547,064,948,829,280,592,447,283,753,469,913,942,195,598,667,699,962,116,
096,683,610,947,774,129,963,948,272,405,847,016,099,911,329,560,878,286,716,
149,850,179,091,830,573,254,205,152,033,129,318,001,056,497,795,315,262,034,
231,409,895,392,779,143,818,056,958,192,237,986,434,619,519,911,035,207,693,
617,158,964,090,190,835,890,171,107,105,657,651,698,025,523,800,469,397,125,
542,439,067,108,689,898,001,657,633,964,131,778,089,871,861,503,609,560,816,
417,063,523,577,873,181,255,935,463,176,451,170,412,551,229,060,009,111,870,
214,071,958,777,593,925,434,154,974,432,471,613,331,236,101,059,161,302,799,
784,951,338,766,731,255,755,807,156,863,164,658,991,075,053,108,801,191,247,
137,535,642,690,041,645,826,788,307,860,322,877,663,825,020,775,808,409,004,
412,886,480,951,584,539,526,109,299,015,107,683,003,963,017,155,106,237,051,
993,402,336,097,524,901,915,399,524,584,437,141,411,103,383,363,540,386,123,
992,249,224,358,170,078,230,814,621,400,905,373,823,446,950,569,252,202,247,
870,680,219,274,576,930,960,152,499,755,321,655,182,601,384,354,953,551,827,
415,276,341,291,688,071,868,644,306,746,625,417,605,641,119,877,471,202,693,
099,945,566,268,599,916,008,058,021,465,606,343,645,828,553,235,248,856,218,
597,091,152,737,760,537,696,905,313,757,962,879,660,853,693,917,285,696,656,
920,660,352,199,934,882,595,605,754,620,571,326,306,086,064,625,266,213,423,
594,920,460,226,056,209,777,531,279,885,091,986,021,211,687,382,645,117,300,
582,965,108,707,331,476,319,651,904,491,484,131,902,238,408,875,809,582,522,
183,658,289,283,537,105,414,121,415,910,829,049,489,713,085,138,971,516,042,
967,483,308,216,145,124,306,242,683,791,115,436,053,472,059,547,295,257,898,
245,310,803,734,411,937,236,817,353,253,198,614,940,967,130,552,240,736,573,
716,809,165,699,942,799,030,807,607,485,432,797,582,213,541,988,703,973,860,
287,588,926,322,344,363,441,759,854,334,101,117,056,327,923,417,615,341,461,
889,273,405,661,545,154,552,362,406,455,732,108,685,411,406,912,036,537,401,
249,273,065,257,094,780,198,504,691,698,950,082,277,772,924,881,273,176,544,
965,741,939,182,203,728,311,464,706,751,689,399,001,641,723,580,069,657,632,
263,564,878,277,135,863,578,535,440,513,480,560,641,732,706,119,482,166,865,
632,854,507,214,336,530,164,926,671,736,745,033,979,369,701,044,226,835,446,
779,384,114,344,887,746,087,214,613,114,094,696,022,159,668,055,430,433,852,
311,730,589,627,841,871,087,633,681,644,299,214,878,701,541,425,532,897,545,
360,836,495,172,414,257,472,435,809,152,052,144,151,400,068,884,133,265,848,
479,541,629,373,404,622,476,552,628,328,939,016,543,118,113,670,983,133,717,
496,772,424,539,372,522,578,598,181,598,089,632,929,260,730,223,756,160,715,
249,949,833,804,343,518,000,716,711,351,070,559,466,807,016,170,929,372,456,
669,171,901,511,476,337,117,720,961,330,328,743,137,550,970,119,060,374,340,
644,297,675,866,578,619,069,746,238,186,844,232,973,760,274,946,147,655,258,
026,328,587,919,896,316,387,144,039,452,542,070,225,522,310,813,780,414,603,
010,009,057,150,223,402,450,695,756,385,924,715,665,279,240,442,034,454,427,
058,105,456,774,967,462,124,800,723,304,751,471,272,199,822,309,135,810,168,
094,827,013,453,039,195,438,218,494,486,022,166,802,013,987,354,917,095,896,
001,130,471,103,620,900,908,673,429,675,781,591,948,432,010,336,007,952,015,
527,450,239,948,859,035,702,637,883,818,497,990,524,769,171,477,934,706,273,
150,209,102,359,599,682,150,347,846,593,876,108,634,402,644,190,862,795,359,
640,428,050,618,988,378,702,676,983,716,395,866,337,788,707,655,022,363,702,
710,789,887,036,033,973,564,067,098,456,081,531,451,827,284,959,042,009,746,
544,270,456,370,366,363,056,869,942,500,539,264,049,259,812,955,670,161,439,
801,722,814,601,906,507,295,456,637,840,125,910,404,833,565,915,991,620,622,
136,024,051,863,426,944,109,175,980,620,924,476,326,770,748,730,369,449,282,
660,633,226,903,999,017,633,466,464,594,776,309,833,203,642,210,208,662,112,
868,376,249,049,994,688,227,660,926,200,100,247,825,163,180,745,387,903,077,
309,499,527,144,028,790,905,728,960,118,230,884,679,569,136,783,749,367,938,
078,856,803,975,919,980,112,283,627,121,740,448,796,541,788,040,958,494,807,
705,625,390,439,789,106,490,282,951,731,384,268,312,904,713,633,570,857,514,
210,014,286,705,075,285,053,352,378,999,827,376,782,895,921,346,292,383,243,
121,767,865,972,612,201,272,678,258,420,483,137,586,906,634,720,341,915,047,
592,855,784,130,709,659,851,107,540,741,754,363,763,097,102,469,435,246,630,
549,449,001,432,923,080,382,098,670,670,428,525,251,566,713,020,947,274,827,
657,666,577,299,440,797,206,797,241,607,356,716,413,213,994,943,168,534,991,
336,898,747,216,225,260,850,298,316,676,152,374,863,112,848,621,813,515,418,
087,443,225,838,753,157,694,036,050,937,051,191,817,167,333,499,227,425,225,
689,026,676,782,592,791,577,995,914,266,946,264,936,020,614,015,144,511,958,
759,328,510,283,685,959,760,941,731,081,796,987,589,868,556,793,305,285,939,
872,657,682,782,020,568,880,727,614,429,437,219,737,224,621,911,041,420,479,
192,703,852,422,290,534,640,194,402,615,314,825,544,162,455,645,606,125,521,
912,115,266,492,389,106,923,218,691,852,864,624,473,050,206,335,033,947,066,
947,181,268,352,887,124,503,071,515,773,248,312,962,371,726,448,494,131,448,
320,717,384,261,460,647,100,354,740,310,589,036,199,610,213,157,230,020,173,
644,162,457,417,404,191,319,419,681,527,208,196,624,631,756,055,721,842,547,
792,833,916,545,357,883,504,354,488,490,810,031,286,202,747,860,350,349,136,
700,584,479,848,830,901,973,255,251,072,790,062,488,113,084,146,202,813,139,
334,973,940,357,594,350,663,794,596,376,653,144,413,615,004,970,730,370,512,
375,613,739,546,685,004,218,262,683,722,355,536,380,600,807,624,494,243,827,
327,759,033,335,275,200,314,911,761,365,861,960,219,212,041,013,108,825,786,
061,304,070,889,239,943,034,370,420,739,034,956,806,992,989,985,875,954,849,
921,996,764,092,140,102,572,176,766,915,545,624,545,929,724,909,914,632,886,
273,103,535,998,592,839,316,938,731,671,224,479,034,739,939,038,917,247,376,
585,403,317,848,740,671,079,582,997,334,640,920,496,218,750,352,538,547,288,
228,497,281,494,131,388,172,397,098,159,645,155,210,223,833,099,930,404,763,
391,454,800,954,436,160,364,570,261,613,405,676,871,006,964,122,975,672,913,
200,477,964,236,748,485,949,286,219,098,101,918,434,158,842,182,929,827,306,
271,679,743,664,655,082,524,526,564,136,393,526,077,543,046,434,102,193,703,
265,289,075,027,987,960,654,407,886,727,962,288,908,775,975,448,523,341,102,
637,320,114,482,227,117,689,805,207,307,294,885,889,890,891,928,225,983,688,
063,758,555,834,967,276,402,842,315,960,265,769,215,397,041,950,194,512,738,
395,886,894,997,655,517,740,618,117,863,089,055,676,838,985,176,294,799,311,
963,426,714,111,933,827,607,146,908,562,290,986,014,308,016,514,707,255,991,
088,573,387,425,222,623,915,391,329,122,356,421,296,389,652,123,333,283,662,
511,265,817,751,708,905,876,712,887,968,459,593,299,471,733,211,324,330,132,
443,763,746,425,338,413,237,218,810,153,180,749,917,610,636,809,953,753,469,
309,229,146,001,137,155,454,748,361,780,469,279,217,141,364,397,507,283,109,
696,250,987,332,405,767,792,225,294,947,210,975,418,671,672,807,469,990,172,
587,893,408,674,753,495,477,143,721,007,301,894,594,694,763,343,976,406,585,
126,310,798,698,961,099,994,309,099,346,261,920,355,151,579,202,474,593,598,
383,939,141,142,668,094,800,055,153,608,568,972,611,245,938,037,595,644,521,
767,623,945,703,124,680,966,115,653,862,222,163,367,596,842,307,576,178,136,
656,237,645,572,343,049,074,374,451,098,724,145,263,711,812,390,864,921,646,
870,687,231,849,764,082,761,427,771,614,917,853,448,603,995,953,854,662,719,
729,884,133,385,582,197,225,174,706,431,266,587,710,737,324,368,742,350,117,
293,428,994,770,419,734,292,635,488,058,579,367,425,090,803,027,390,569,684,
611,155,396,999,487,438,152,421,117,351,841,452,060,756,391,527,235,781,779,
858,596,724,068,463,555,241,286,416,553,962,149,590,547,862,216,798,944,018,
727,484,860,880,485,046,102,834,174,004,508,412,685,203,264,651,316,992,664,
463,752,443,190,793,616,473,358,102,971,268,077,244,255,175,906,934,396,604,
772,626,787,621,244,266,046,206,107,293,846,761,856,657,661,089,468,897,471,
635,302,962,358,888,989,619,291,063,070,994,407,457,580,524,521,542,735,311,
702,835,719,522,040,297,060,288,371,895,160,057,364,986,335,121,144,823,876,
693,426,590,289,899,958,576,455,932,255,229,621,161,980,885,151,370,878,695,
576,659,889,295,807,419,771,455,360,188,269,443,140,661,995,774,855,108,182,
950,499,045,563,582,017,904,484,349,641,635,182,916,190,971,160,106,532,471,
176,117,170,085,370,479,290,492,022,402,381,988,054,430,031,724,071,172,031,
034,004,247,774,374,920,777,805,612,276,795,964,465,291,650,992,315,798,714,
414,045,596,058,135,789,403,941,690,378,834,196,574,701,885,888,715,484,834,
451,927,665,523,585,692,104,259,833,178,665,492,839,343,042,070,273,968,929,
547,182,333,821,860,866,915,903,409,993,006,120,526,617,814,832,286,706,396,
425,987,660,062,936,187,229,658,889,057,445,167,996,560,986,264,791,300,364,
384,390,734,931,172,682,749,637,932,426,530,223,775,878,022,866,917,954,477,
030,744,043,457,696,160,319,426,425,679,669,637,517,674,272,650,054,058,470,
175,745,920,949,690,177,141,606,836,590,310,033,086,501,902,613,022,489,511,
366,687,096,226,432,969,534,360,350,362,773,930,886,862,809,513,217,239,101,
742,262,826,769,923,061,641,854,388,431,848,265,846,336,881,509,090,185,320,
315,423,978,095,436,395,461,002,292,454,255,372,344,192,790,156,371,275,471,
590,978,765,369,450,298,456,489,499,366,990,480,529,243,322,669,632,217,116,
818,072,576,402,565,387,493,379,800,277,823,641,541,199,339,614,342,525,382,
925,677,653,263,677,163,872,076,752,029,593,734,131,520,732,910,922,606,198,
258,391,184,818,912,034,749,095,399,602,156,287,768,606,917,883,232,357,902,
020,851,489,632,786,608,574,414,170,370,983,652,475,925,422,909,635,728,901,
993,241,472,793,902,364,977,981,044,245,772,438,793,895,869,917,785,016,214,
746,556,215,757,083,091,233,595,583,822,471,301,799,232,640,266,933,450,838,
564,799,807,661,408,636,962,670,463,055,825,970,293,133,619,246,231,647,338,
663,099,188,521,757,766,751,281,043,797,382,035,605,650,930,031,566,660,527,
350,839,498,561,466,606,643,573,722,711,205,533,390,764,765,849,168,067,620,
657,063,604,498,974,167,526,126,409,552,630,382,574,260,344,082,636,554,455,
222,058,000,830,258,645,058,545,422,703,628,024,337,253,793,761,846,874,949,
222,999,020,795,837,913,454,679,432,888,266,495,690,957,318,185,722,461,074,
765,664,788,101,712,106,176,234,695,939,596,931,105,394,716,117,384,075,058,
448,921,313,834,745,254,743,378,371,068,505,332,017,480,813,818,689,998,692,
072,139,642,800,739,463,179,776,160,995,988,383,083,611,792,507,937,791,091,
380,217,296,752,176,719,596,759,672,271,086,092,539,621,337,789,856,132,300,
528,098,390,246,343,682,696,849,007,164,401,907,524,266,376,062,503,103,726,
295,751,709,054,263,966,493,182,125,818,961,377,160,858,684,391,823,700,329,
989,697,641,894,171,065,285,371,628,193,705,323,273,679,371,744,493,916,576,
519,614,769,330,125,738,362,559,563,721,228,070,621,623,127,754,839,169,106,
510,502,339,630,819,485,168,949,182,797,984,531,424,781,245,062,241,075,004,
209,780,800,149,834,126,957,796,255,280,224,129,216,160,623,514,851,109,524,
629,264,425,366,257,558,610,635,188,416,021,533,007,609,278,603,522,531,657,
873,500,478,339,098,328,220,106,066,537,752,699,533,518,542,376,364,685,019,
304,468,788,030,214,124,859,068,464,982,216,875,614,218,393,666,220,687,819,
355,836,282,251,695,319,236,313,092,784,767,691,006,985,229,180,664,165,441,
182,064,114,920,467,589,352,226,949,404,818,626,437,219,533,135,592,261,794,
781,283,100,832,693,686,117,427,864,590,531,639,586,950,211,662,538,386,598,
111,205,291,063,717,127,151,841,519,458,957,051,003,997,100,466,279,764,378,
726,504,199,014,056,278,911,539,279,284,234,673,665,804,483,298,415,896,245,
338,856,066,774,664,658,876,706,749,513,060,651,831,246,324,186,763,963,240,
053,566,723,842,514,441,877,592,664,709,625,021,923,072,812,501,231,094,410,
662,564,026,530,981,436,944,814,347,348,349,484,130,848,525,632,476,035,114,
005,584,831,708,404,975,644,462,491,597,269,140,500,894,009,688,929,371,615,
524,153,091,999,710,128,304,682,827,894,755,036,656,412,501,858,947,560,822,
020,729,690,304,375,477,948,574,594,775,548,306,405,313,481,107,773,889,775,
548,023,350,807,650,384,110,364,727,664,205,462,144,577,164,849,845,685,935,
683,567,896,207,282,095,099,300,657,300,743,471,546,930,347,447,139,507,987,
510,367,680,711,769,876,374,161,369,507,716,159,704,615,836,693,121,551,910,
468,011,452,745,620,842,713,024,895,465,329,330,605,788,739,880,417,339,054,
371,880,009,057,899,308,927,875,842,889,761,504,550,554,042,260,969,876,882,
883,045,588,847,173,095,109,972,124,145,925,101,993,839,390,216,305,439,995,
295,773,139,373,907,168,475,477,418,556,005,279,234,780,892,815,391,571,528,
212,149,798,207,551,858,823,541,829,240,126,601,430,985,512,391,686,131,269,
671,766,702,359,001,451,799,971,741,056,505,868,947,401,835,061,175,591,835,
846,917,207,879,448,961,887,747,516,422,386,269,354,529,757,909,372,486,323,
781,199,660,142,369,277,642,895,118,240,961,268,750,220,880,358,979,954,005,
476,049,098,384,438,313,843,171,819,419,722,249,444,878,443,994,501,786,341,
885,653,365,112,480,069,663,945,000,330,408,386,348,073,363,949,544,082,767,
339,291,088,101,466,550,027,063,132,556,821,003,727,800,875,020,599,791,066,
077,747,583,857,880,788,119,561,536,894,536,184,416,204,799,208,836,596,613,
788,173,719,369,310,552,097,340,952,013,284,295,708,056,045,790,003,349,196,
939,940,959,515,311,985,420,789,846,204,744,880,539,269,494,976,976,485,681,
258,017,476,630,100,985,638,318,123,442,967,701,154,504,927,876,753,275,535,
850,623,464,868,933,656,488,019,552,065,402,148,628,442,395,608,563,591,236,
646,506,531,276,257,468,766,026,410,118,472,319,131,276,397,566,304,859,266,
742,695,736,838,348,651,194,585,041,986,030,807,111,234,916,197,288,858,060,
654,412,005,801,545,423,317,918,338,762,694,700,339,126,264,955,803,120,486,
186,993,328,761,114,034,736,691,693,368,470,572,585,238,484,790,953,899,719,
396,102,516,563,763,658,372,947,116,366,515,529,851,706,747,449,210,943,202,
698,488,551,363,278,277,112,487,396,066,546,682,971,348,499,784,606,010,862,
749,268,782,262,290,056,479,645,500,273,539,530,675,557,387,334,665,421,709,
215,736,640,547,949,169,124,345,001,901,822,533,986,786,291,729,445,612,794,
926,150,929,857,795,143,685,658,673,694,291,979,713,613,316,891,837,641,707,
729,151,271,362,198,429,923,026,540,656,654,995,428,430,768,148,054,995,821,
133,045,723,855,973,864,083,965,654,091,285,224,947,541,454,022,438,316,311,
749,304,139,235,921,972,065,858,303,815,218,933,693,653,481,393,404,193,913,
246,054,048,465,865,375,962,983,444,465,965,211,927,791,281,268,444,800,250,
547,219,375,932,944,326,876,248,305,540,005,187,558,415,215,515,836,400,266,
909,207,157,176,379,861,157,033,464,339,542,050,779,146,904,473,599,253,685,
568,508,393,972,928,214,201,697,168,504,338,632,824,275,283,078,276,660,399,
727,741,819,701,035,027,864,673,227,984,739,175,761,874,546,272,811,563,085,
734,061,823,650,847,571,878,419,310,745,389,485,780,601,097,912,321,323,026,
475,121,298,094,196,395,740,471,232,611,501,708,801,208,260,024,620,924,047,
578,874,860,817,952,906,440,241,995,808,869,788,554,505,784,950,165,810,326,
908,084,317,244,519,530,109,024,087,196,074,385,044,947,051,784,705,537,948,
360,114,137,566,306,861,037,439,444,521,680,890,857,688,829,461,211,313,658,
060,625,394,808,308,390,877,306,786,136,571,198,925,136,899,019,973,405,352,
733,898,661,894,313,308,604,818,685,319,197,782,540,393,137,709,038,927,101,
030,686,157,067,612,362,112,275,400,567,983,547,970,212,983,979,055,289,650,
264,081,717,033,061,999,203,068,082,154,791,182,156,882,600,596,008,713,421,
922,408,343,177,209,818,256,641,917,081,357,511,466,982,999,084,838,638,142,
457,270,473,257,539,632,507,170,364,784,045,638,961,052,160,726,398,485,721,
098,857,658,901,741,533,657,325,853,888,611,861,085,187,011,915,355,682,451,
325,222,699,482,479,687,519,743,102,243,590,113,506,004,536,017,505,087,630,
223,658,335,735,484,567,882,746,654,806,211,828,334,748,544,188,973,059,511,
556,712,154,297,852,041,766,142,549,621,461,005,906,876,785,906,048,728,077,
016,436,733,829,491,822,256,925,149,655,881,747,746,949,132,210,351,148,773,
390,746,009,098,745,815,165,218,927,413,257,268,653,392,889,928,506,490,134,
131,226,078,334,439,986,337,242,465,441,074,888,272,886,373,608,087,205,701,
804,569,836,271,634,924,398,700,848,561,310,256,227,753,861,061,412,832,100,
239,027,058,729,996,278,305,664,234,191,703,691,720,243,210,434,051,003,163,
043,649,886,338,652,056,628,589,209,711,380,080,488,400,724,663,665,810,280,
665,508,854,919,392,964,879,886,442,762,580,879,966,037,503,229,467,572,501,
303,511,566,691,597,705,167,091,186,304,494,283,817,611,906,519,689,059,657,
140,861,805,467,298,705,796,998,514,075,317,995,612,581,712,005,421,710,400,
797,576,237,749,283,824,562,301,511,965,610,482,493,619,214,667,743,729,657,
584,312,246,749,823,596,011,980,756,095,051,505,131,759,910,149,509,994,512,
801,565,557,017,290,270,183,368,885,462,885,309,359,700,508,101,808,493,633,
451,137,019,329,001,352,211,178,359,185,940,455,928,588,729,183,336,571,798,
653,223,447,223,166,999,585,120,036,157,819,465,798,577,134,993,503,027,228,
544,135,544,820,530,271,848,205,897,172,800,529,548,554,688,528,336,543,637,
655,604,107,088,253,188,988,680,915,809,420,937,125,897,306,959,583,064,288,
019,019,270,718,036,047,758,445,588,549,384,359,222,079,849,627,649,933,686,
951,793,719,371,734,202,745,585,253,465,330,887,918,526,879,185,947,514,212,
012,512,640,694,856,241,264,907,082,479,433,942,636,961,912,265,506,379,017,
304,668,767,109,105,669,749,895,956,030,501,353,860,121,362,428,898,334,224,
739,578,673,020,523,901,924,974,254,158,706,934,305,552,825,052,377,577,369,
209,388,103,966,588,469,564,043,605,016,799,414,204,860,064,722,848,166,370,
610,059,478,191,224,699,229,221,294,066,537,800,262,440,734,218,352,551,699,
648,636,274,258,648,154,941,960,718,636,648,704,914,096,551,481,317,455,258,
731,304,624,469,767,277,151,991,828,269,811,534,152,631,827,385,085,681,076,
193,005,120,149,129,478,631,281,014,995,754,907,017,331,579,241,875,544,283,
155,589,058,623,908,729,410,591,046,111,618,111,997,339,683,099,181,185,514,
051,190,840,915,291,496,952,688,127,586,607,088,385,194,565,460,922,463,727,
286,344,560,479,552,641,479,034,189,942,528,559,848,295,713,328,446,166,419,
948,852,289,656,637,150,967,835,032,508,165,525,376,992,945,804,626,197,457,
483,254,417,081,774,893,781,389,199,637,433,139,582,731,530,964,789,696,062,
012,072,766,765,554,848,726,560,897,037,580,014,673,949,355,941,188,930,633,
252,679,509,543,351,936,363,628,316,538,803,580,400,816,291,464,725,607,975,
478,499,819,914,816,943,667,768,440,509,367,639,914,100,018,173,777,688,861,
485,554,406,431,736,981,637,901,427,784,948,920,760,825,461,193,998,666,417,
330,853,747,385,118,879,356,383,907,050,737,255,249,466,774,813,670,879,828,
032,970,614,381,977,872,434,569,334,257,221,030,268,047,305,636,724,542,077,
843,021,708,253,867,863,979,280,166,071,898,870,845,111,275,703,576,423,060,
381,762,580,698,326,978,212,428,261,318,358,603,082,577,106,254,953,810,342,
526,153,045,788,326,827,109,424,118,068,245,300,857,394,153,564,094,305,010,
308,327,504,084,536,566,441,970,643,077,252,631,546,305,149,417,370,911,018,
039,170,026,037,536,736,289,443,614,377,213,144,475,864,016,922,380,638,007,
406,233,460,599,661,106,800,130,380,596,193,018,699,094,570,165,683,836,538,
771,875,928,015,154,127,267,382,342,677,368,601,106,007,308,321,923,668,439,
665,660,412,519,346,280,980,310,714,282,458,833,819,005,962,520,055,657,722,
992,304,732,724,553,203,119,721,143,464,814,555,807,500,090,300,616,887,325,
755,052,086,225,721,836,796,183,673,721,771,783,639,793,227,267,695,729,579,
986,119,801,731,095,558,031,520,149,486,986,531,684,022,582,642,537,241,472,
419,225,403,699,349,510,977,520,618,661,378,976,459,468,104,627,542,951,571,
533,285,464,844,683,921,561,849,901,337,863,833,395,818,596,694,334,826,036,
651,301,150,993,677,663,037,731,492,952,698,431,207,047,249,056,166,540,163,
152,990,114,906,745,627,378,928,828,051,065,264,612,433,295,913,167,807,850,
420,042,750,779,404,228,571,294,403,188,887,955,872,185,051,309,942,886,918,
680,050,964,713,894,278,424,310,537,998,279,160,052,679,283,269,984,569,963,
078,193,911,457,386,646,360,338,738,113,533,164,201,953,865,013,717,300,052,
468,419,210,209,991,924,533,046,564,133,731,555,585,680,029,575,680,835,458,
136,429,702,725,058,411,613,157,360,712,358,508,947,196,947,060,109,690,997,
659,947,423,498,072,377,246,939,544,826,634,319,528,920,945,006,021,072,470,
511,223,550,315,716,148,389,185,822,402,831,263,830,190,758,296,347,831,346,
560,260,643,930,342,998,301,960,375,902,297,474,381,385,735,986,524,339,760,
151,672,950,124,092,741,206,915,122,592,853,940,409,101,158,730,562,202,814,
469,972,984,440,390,134,431,247,966,413,943,939,250,347,555,566,176,439,222,
559,562,796,670,673,330,804,412,560,989,697,602,237,307,957,431,917,972,753,
364,766,593,343,701,197,007,851,681,980,679,974,894,626,299,844,743,461,063,
630,738,993,664,315,602,346,950,998,252,898,186,554,447,036,088,463,817,881,
856,311,004,136,894,580,563,425,730,670,353,893,374,934,725,433,905,147,640,
370,606,030,890,369,610,169,529,148,349,846,278,611,859,097,061,669,630,170,
685,814,880,925,778,357,400,868,256,971,250,427,874,982,458,083,538,129,883,
656,063,506,552,339,683,993,992,924,434,918,668,822,231,391,500,902,760,560,
269,477,268,473,340,525,642,497,188,092,294,635,093,667,990,491,743,571,462,
249,072,556,110,195,446,758,692,052,772,847,718,929,705,538,703,862,873,483,
724,858,662,516,860,370,966,950,143,920,993,986,305,964,800,683,062,028,398,
380,097,448,015,262,759,204,637,317,911,983,126,581,606,650,140,132,227,098,
119,117,384,100,557,379,955,143,015,925,344,110,613,061,328,167,845,289,004,
599,773,069,093,765,577,843,660,295,399,659,235,519,225,140,511,265,321,049,
915,562,165,448,433,380,367,320,268,516,729,276,238,864,185,217,151,842,704,
149,096,163,767,103,248,332,099,409,521,332,866,156,294,134,822,771,627,996,
574,186,824,567,460,560,402,128,146,773,619,725,133,130,258,992,421,403,877,
465,217,799,057,081,993,672,420,583,508,902,299,502,631,385,183,304,655,253,
976,309,227,284,135,604,118,285,463,213,937,639,128,136,895,269,606,192,949,
857,497,263,220,238,200,372,709,644,036,170,856,799,806,745,842,467,669,127,
755,848,370,520,563,561,513,349,246,278,314,238,704,531,858,973,316,547,757,
786,245,273,103,241,094,969,300,345,019,881,026,868,365,580,635,754,430,328,
202,954,221,234,876,554,401,765,863,993,089,317,806,733,049,989,450,650,959,
035,925,093,666,012,257,857,185,886,202,852,338,407,343,902,205,130,882,366,
756,209,118,797,993,846,009,331,155,378,635,772,913,482,504,524,676,326,455,
597,719,320,513,173,774,295,629,216,987,806,569,374,247,954,735,491,851,628,
392,832,865,641,453,543,962,292,117,035,337,793,408,863,829,200,971,303,584,
717,000,099,945,980,785,188,438,867,946,186,323,660,186,721,891,548,036,774,
741,114,694,128,925,968,651,778,940,809,522,835,552,362,678,639,333,267,709,
914,127,333,235,737,803,404,080,454,297,421,227,447,941,946,897,946,976,923,
613,423,644,857,555,271,906,451,674,818,553,534,544,056,254,657,667,489,426,
355,435,169,344,278,158,938,090,381,265,934,440,262,929,004,251,595,135,722,
940,284,946,012,195,756,768,690,873,056,080,716,024,021,801,298,835,422,548,
576,396,674,295,918,805,569,037,753,112,958,329,529,973,666,541,778,197,382,
579,543,581,150,656,065,229,962,572,900,476,241,863,813,408,753,521,291,611,
700,261,317,193,825,191,922,420,519,950,762,187,409,076,670,220,996,452,539,
494,045,164,697,277,952,863,784,282,330,868,539,320,986,139,284,601,186,249,
384,094,906,316,371,797,677,477,833,428,707,046,426,369,054,840,642,151,974,
110,235,309,689,227,858,696,658,559,648,522,518,268,030,876,738,940,736,808,
585,986,501,332,786,303,794,777,638,843,711,599,314,223,130,661,672,086,738,
957,657,527,010,008,363,988,213,965,336,771,202,133,925,249,714,960,218,019,
539,294,480,310,741,124,570,711,353,495,217,497,493,270,113,917,619,960,488,
500,355,918,612,783,848,891,414,572,477,522,658,567,498,542,533,628,899,669,
487,862,535,077,939,308,923,011,359,123,928,263,918,137,778,944,502,108,330,
606,907,331,859,245,431,288,532,842,261,395,044,610,100,593,780,970,476,565,
149,584,728,684,284,732,165,388,445,915,432,619,867,385,353,400,210,685,101,
331,511,088,789,688,130,202,715,594,501,544,364,212,113,796,487,803,915,792,
692,074,637,355,549,365,742,910,002,425,737,991,649,575,186,049,379,485,129,
543,505,446,654,139,226,137,745,596,518,485,208,543,178,999,898,134,582,652,
217,201,108,667,018,007,019,296,739,068,404,927,083,704,064,030,079,530,936,
086,622,222,789,814,772,101,926,512,750,159,301,420,221,839,454,610,330,360,
354,957,837,575,234,559,101,749,693,278,263,139,367,575,981,297,542,788,559,
069,462,093,339,668,130,156,387,924,000,011,020,667,637,480,988,822,798,679,
046,904,408,429,669,610,526,208,361,595,878,952,513,474,194,854,892,846,353,
617,725,267,366,341,986,314,399,069,386,231,897,863,011,070,035,266,566,665,
889,903,070,302,840,121,810,296,034,976,566,565,040,898,695,342,876,403,482,
471,054,516,986,115,694,960,193,811,616,603,239,785,895,949,106,949,233,509,
603,198,460,792,516,415,132,687,341,980,256,063,103,450,358,535,823,079,345,
836,076,207,621,632,438,438,983,655,337,281,943,250,622,015,958,050,997,774,
682,491,285,589,408,968,178,313,907,552,188,054,731,917,751,165,855,952,158,
498,700,995,821,882,374,366,229,444,788,706,042,225,829,659,319,769,164,401,
199,515,157,334,940,182,795,314,127,560,586,772,073,371,400,336,177,970,250,
765,946,497,152,818,684,700,120,499,260,190,481,120,804,764,103,029,293,324,
284,578,661,216,488,016,857,071,354,347,287,094,461,575,705,923,769,980,769,
987,026,205,625,647,295,495,201,785,048,024,293,009,571,845,179,542,661,257,
794,774,775,814,068,167,230,015,763,651,238,717,613,832,489,801,372,105,747,
503,717,735,731,810,960,388,390,906,619,053,818,826,203,728,100,519,424,232,
091,620,944,447,780,912,922,061,625,971,087,629,131,684,710,020,318,630,062,
161,645,983,576,873,148,443,740,965,637,040,481,983,222,364,648,881,915,822,
302,958,157,187,888,503,326,124,249,389,197,768,498,165,171,696,390,074,241,
342,010,257,355,877,597,373,608,506,996,445,956,565,752,437,464,452,173,541,
764,897,233,805,991,620,425,403,148,251,318,532,702,106,590,129,688,417,560,
601,471,209,713,568,532,120,170,934,789,539,466,696,178,883,974,437,166,855,
372,017,812,110,720,865,542,257,365,715,768,573,381,058,389,894,047,369,113,
115,072,954,911,101,530,715,652,220,056,980,788,943,630,124,549,524,755,563,
821,936,775,135,106,481,021,138,543,498,719,515,898,694,337,765,393,463,500,
000,010,764,514,563,797,521,526,405,954,040,297,129,236,054,427,217,226,812,
442,316,954,345,393,660,776,261,541,690,030,848,720,348,961,480,047,567,353,
983,301,686,033,416,754,869,777,574,180,510,911,079,201,386,302,689,654,434,
950,729,939,499,140,191,366,923,672,760,768,171,208,025,942,348,727,904,070,
013,820,235,617,563,316,480,953,308,542,913,985,633,975,326,141,641,317,228,
033,927,721,284,589,195,099,868,479,900,910,443,931,492,520,764,473,913,997,
203,809,900,704,937,570,197,443,696,759,601,488,904,893,477,024,418,637,133,
805,496,573,448,109,745,300,314,284,153,468,513,978,550,427,504,221,816,714,
426,019,970,598,705,185,657,169,473,006,326,927,614,297,745,064,077,500,300,
998,741,979,161,225,499,401,737,432,500,234,998,387,438,827,866,613,288,726,
356,164,225,818,670,417,400,561,110,819,597,114,894,192,891,300,191,882,120,
889,692,151,675,818,724,430,772,360,745,105,652,025,348,268,780,331,278,659,
583,373,155,377,997,857,810,184,770,605,008,559,525,250,841,968,344,971,621,
742,366,575,334,780,399,970,681,315,115,735,530,348,934,158,226,650,911,774,
640,863,645,434,984,050,327,189,613,450,769,357,948,158,271,169,989,864,285,
204,575,466,101,880,128,570,085,007,547,769,541,841,429,341,344,577,739,319,
661,349,279,061,433,925,757,819,733,406,983,715,159,706,248,764,890,953,707,
991,276,320,317,926,273,028,820,153,709,938,034,042,129,268,324,688,304,423,
023,844,791,517,917,517,796,081,629,340,521,562,113,043,298,442,022,481,349,
931,175,494,598,935,452,130,860,719,126,081,086,019,833,165,780,674,652,491,
486,002,719,094,649,858,762,468,100,436,994,536,539,310,338,132,421,608,140,
366,397,841,248,801,997,719,891,383,117,725,354,475,195,554,041,251,208,833,
648,354,750,316,426,430,481,647,353,194,798,100,234,731,736,581,763,425,998,
055,033,348,343,349,370,502,132,259,514,955,017,339,934,701,177,630,328,967,
170,560,893,316,469,817,254,155,395,182,290,860,117,798,627,613,314,686,103,
452,617,301,897,924,097,013,127,629,345,577,494,886,723,972,845,999,746,045,
792,974,018,282,673,337,246,062,575,319,980,185,437,950,428,883,495,821,988,
133,082,343,139,260,723,713,224,103,911,234,822,335,364,372,976,907,436,778,
737,239,628,256,451,981,934,878,646,278,749,449,059,524,037,295,704,697,448,
887,365,769,667,139,889,048,221,909,334,777,469,831,543,364,071,433,074,325,
884,204,597,848,146,645,718,496,688,612,935,614,930,941,973,500,141,822,616,
874,265,733,106,984,675,445,810,800,168,731,249,376,796,791,912,581,807,931,
940,857,508,942,431,696,463,888,540,029,762,320,825,054,297,290,663,112,222,
413,237,599,358,638,264,792,937,376,773,133,480,294,079,041,566,619,686,209,
409,725,196,750,551,376,955,439,072,516,172,776,296,463,764,334,076,443,351,
013,314,553,329,649,304,125,348,812,958,600,028,408,021,639,593,379,837,283,
020,710,297,150,935,711,849,618,695,258,004,911,041,008,634,327,737,367,806,
764,584,483,744,140,433,702,391,498,180,519,184,424,293,174,974,432,122,678,
913,831,428,159,952,343,117,760,743,966,976,439,930,728,847,640,174,002,868,
793,566,836,388,738,776,996,556,530,808,327,725,758,520,743,871,896,467,043,
464,489,975,525,816,107,761,615,181,133,168,891,295,752,090,672,928,542,177,
601,954,791,243,586,882,826,475,362,998,011,936,433,667,800,749,383,590,794,
576,841,816,071,909,236,311,460,022,698,962,575,751,964,879,777,232,881,187,
913,027,711,330,597,297,297,246,352,812,381,402,458,542,421,900,373,584,848,
102,189,883,677,979,978,116,818,957,774,095,912,297,708,017,824,342,595,300,
967,670,048,098,334,711,208,308,580,250,034,664,528,306,690,842,521,155,855,
861,720,205,680,785,664,763,284,834,632,373,580,347,605,329,330,392,559,187,
365,446,519,318,152,498,282,333,700,657,743,806,263,379,303,832,596,795,630,
945,358,544,526,009,668,280,310,887,720,586,194,894,935,729,921,530,059,231,
148,993,636,360,041,174,194,193,149,717,084,230,667,360,654,830,164,846,384,
305,850,831,410,669,961,480,988,211,539,047,658,657,112,706,183,606,792,674,
335,864,055,873,233,253,464,103,030,460,037,810,310,618,648,592,920,581,189,
213,131,439,773,642,912,991,405,656,050,314,670,754,115,504,152,513,451,953,
652,845,545,528,586,406,319,644,296,979,906,131,154,540,826,428,508,604,343,
432,062,037,601,919,636,231,389,740,978,756,673,019,222,669,216,089,597,760,
732,226,332,179,893,353,145,662,418,184,750,896,096,813,788,547,594,942,494,
282,023,269,274,304,550,180,635,679,664,670,722,289,145,362,145,773,225,462,
034,871,630,764,072,320,109,318,806,026,963,609,230,569,271,175,209,108,876,
499,766,874,172,373,865,455,361,968,589,609,319,464,373,074,724,936,338,934,
054,161,781,884,371,634,026,216,915,164,077,202,921,842,083,905,314,020,004,
950,454,256,071,230,959,180,182,020,184,064,655,064,690,242,606,515,141,287,
947,302,622,369,001,025,762,134,203,522,718,846,831,853,247,241,756,988,130,
335,435,588,854,557,993,388,570,102,726,670,907,532,999,450,099,289,452,744,
169,277,829,808,682,675,304,008,918,656,494,455,095,982,651,903,494,539,059,
972,271,116,570,264,885,339,977,778,639,841,261,130,309,323,565,006,271,182,
267,574,704,243,743,773,659,592,865,656,610,380,216,748,258,564,029,026,761,
251,195,146,051,744,438,381,815,558,810,618,160,862,574,162,493,659,106,022,
843,564,681,744,617,917,020,737,772,376,560,390,421,924,193,384,475,525,173,
645,072,377,142,350,315,753,482,535,525,908,699,089,164,638,896,029,520,536,
394,695,381,096,730,072,896,742,611,537,140,187,724,034,569,004,281,007,601,
364,840,686,405,592,033,694,067,233,935,585,179,382,618,085,655,569,383,505,
147,543,531,500,912,045,045,547,920,020,275,175,264,906,147,002,013,513,431,
944,697,645,846,313,422,558,373,365,217,728,518,715,706,038,236,595,196,559,
081,148,910,878,011,724,066,209,854,907,233,828,159,787,563,469,052,678,321,
113,921,867,014,372,331,470,506,949,540,886,756,370,756,190,896,634,923,539,
639,839,110,365,223,301,516,288,150,209,467,792,467,265,080,598,549,332,581,
865,945,952,273,450,294,518,333,578,333,326,994,767,177,676,907,340,318,264,
094,996,705,494,022,439,950,194,854,982,114,002,807,200,152,831,362,881,061,
919,060,392,202,057,320,399,635,403,566,697,404,059,291,066,074,849,945,887,
041,127,186,806,002,463,584,356,277,562,379,622,208,296,991,010,877,900,521,
211,778,214,220,428,007,680,576,912,655,354,987,264,886,265,325,799,877,170,
660,096,917,796,885,511,068,626,015,161,662,401,295,265,179,657,006,175,477,
083,998,086,313,099,262,469,258,933,017,829,020,227,975,365,766,602,893,986,
163,704,625,580,411,779,719,306,136,337,588,739,143,972,588,566,291,298,127,
483,441,721,370,835,283,678,898,077,980,124,831,945,155,255,386,403,882,778,
510,580,768,236,533,727,635,184,380,113,971,488,797,286,460,329,639,733,658,
373,118,543,127,008,107,238,501,496,401,419,694,724,156,772,459,804,499,924,
462,234,747,555,077,556,744,581,031,427,699,426,614,540,473,314,509,241,170,
488,060,032,309,108,026,284,045,853,390,407,016,258,142,138,446,939,071,339,
971,135,445,352,121,693,011,690,080,920,704,584,513,178,694,429,460,886,615,
976,837,873,300,846,910,618,219,116,198,973,907,391,403,165,181,963,868,073,
722,478,823,717,124,919,534,259,727,525,603,590,215,131,746,400,268,417,607,
099,462,357,735,533,318,011,089,328,955,222,231,508,386,055,980,430,244,109,
096,705,217,333,610,568,011,772,648,511,590,792,381,537,302,592,868,128,535,
146,157,493,927,227,945,660,427,980,223,471,789,128,715,781,540,389,775,088,
521,496,088,618,490,964,015,778,324,204,475,706,346,968,870,803,324,334,114,
662,878,108,210,466,768,233,323,202,211,370,570,117,869,059,681,674,152,067,
841,895,208,451,002,372,980,906,780,757,832,007,843,422,607,612,372,816,084,
474,055,891,215,901,029,366,497,326,925,932,862,923,500,283,991,098,052,744,
198,233,541,074,417,565,163,640,705,636,861,784,279,004,042,590,159,858,273,
758,243,285,589,542,718,000,206,092,664,016,376,464,956,755,815,619,578,865,
839,245,515,668,677,636,675,361,248,728,322,008,343,716,847,318,339,780,757,
513,711,368,023,534,104,786,068,516,820,465,695,148,728,765,083,471,379,590,
641,978,055,225,990,807,917,697,712,461,790,809,237,832,803,268,487,347,728,
223,320,686,735,764,594,895,268,617,117,295,669,277,583,105,042,184,520,534,
682,676,778,542,611,910,231,925,307,566,009,667,577,944,144,715,845,302,369,
934,550,647,669,863,127,318,379,280,389,628,253,017,525,804,897,165,330,159,
543,107,803,331,954,120,941,865,608,161,462,177,073,320,805,155,242,360,004,
703,740,742,138,976,345,770,103,404,593,626,937,731,353,526,225,717,598,909,
313,981,591,471,216,519,996,006,546,914,727,224,581,808,359,867,122,500,938,
548,937,479,505,874,243,560,361,463,430,898,936,750,851,200,048,463,621,618,
594,891,963,055,345,620,871,885,510,590,731,982,008,539,436,013,692,319,670,
626,194,518,321,755,401,774,790,490,826,678,975,776,108,241,816,737,499,400,
452,730,649,109,077,462,963,089,753,946,517,615,844,898,305,488,763,266,209,
750,586,496,378,279,751,220,302,625,416,675,292,695,499,756,950,625,020,169,
934,794,977,983,861,530,684,490,086,294,103,302,755,158,154,457,767,917,272,
494,722,875,959,966,771,267,717,955,881,804,294,139,527,201,348,503,627,370,
243,127,164,741,767,381,531,680,876,411,363,117,408,433,438,003,388,022,691,
342,065,918,010,190,924,636,574,635,787,839,113,125,553,622,658,947,903,419,
978,656,129,783,588,392,511,945,751,200,023,431,457,236,571,687,440,966,813,
853,719,389,897,409,503,225,221,401,778,447,679,149,858,202,112,839,691,336,
812,385,864,881,770,209,532,053,234,933,675,715,563,785,483,426,374,663,207,
200,679,002,258,919,207,331,999,267,177,931,169,374,359,408,709,585,168,193,
767,311,865,889,303,067,383,717,038,280,683,346,088,288,065,014,575,912,753,
076,508,335,251,544,328,905,388,730,282,247,976,028,429,803,751,598,676,216,
132,524,933,202,712,367,820,589,488,279,871,302,270,135,238,613,929,301,937,
385,450,164,005,485,608,038,129,196,377,202,049,601,393,754,938,427,958,120,
366,431,954,412,628,708,645,418,833,831,403,992,483,066,111,455,139,246,639,
060,991,678,515,151,018,984,766,608,370,540,709,287,597,968,445,539,681,349,
630,204,419,405,944,273,097,610,973,902,063,101,396,201,925,539,149,019,806,
016,816,063,163,956,606,201,293,132,044,914,711,176,623,511,988,814,190,338,
412,775,234,322,339,803,912,374,112,885,099,129,170,430,853,016,855,051,976,
060,188,657,798,411,838,088,520,340,601,724,842,104,374,980,649,365,596,679,
043,028,761,778,889,127,689,099,690,280,471,701,806,288,503,176,336,469,843,
684,293,976,596,669,469,234,763,190,028,882,027,888,296,179,407,159,863,947,
787,871,725,978,841,315,891,532,014,510,462,940,840,639,237,151,599,644,017,
590,011,915,135,416,572,958,336,288,182,057,545,288,736,806,911,055,145,897,
443,758,249,027,136,450,301,827,965,710,862,984,578,774,965,164,958,521,586,
189,585,700,152,530,584,014,884,863,223,216,478,817,201,469,139,532,535,163,
366,756,230,122,456,562,127,151,961,335,695,979,907,008,880,854,687,101,640,
049,581,882,473,140,712,048,156,795,021,481,153,873,907,319,506,977,576,918,
742,211,407,912,620,957,281,519,349,707,009,464,531,708,113,742,754,277,933,
247,064,039,619,334,837,957,116,567,584,951,338,571,919,229,149,054,973,129,
828,465,271,776,168,372,208,279,430,060,489,925,537,188,675,026,657,637,854,
161,820,938,794,949,821,573,979,805,427,206,303,932,244,588,983,353,433,933,
263,300,268,734,318,263,653,867,587,717,309,025,624,472,681,448,775,458,921,
215,722,700,644,731,940,003,381,446,608,403,398,538,312,007,233,959,076,014,
670,851,920,142,900,067,346,000,900,371,975,048,749,305,043,514,549,470,432,
936,270,002,057,412,610,050,376,977,102,525,886,773,181,129,001,438,768,821,
903,600,502,920,685,889,133,757,724,582,176,851,494,507,248,892,730,900,185,
881,530,267,735,342,485,143,538,808,406,145,291,827,711,827,942,050,589,067,
655,812,145,300,280,480,321,872,161,597,371,723,660,727,195,145,437,320,741,
183,974,351,194,527,409,297,159,849,926,343,675,460,959,831,010,137,860,237,
797,145,145,621,130,391,739,474,663,043,255,189,762,558,878,067,604,899,197,
725,772,580,344,432,813,170,166,675,161,862,198,298,058,229,699,915,572,375,
375,053,640,841,522,141,783,594,311,241,352,183,603,335,610,859,245,103,876,
054,102,954,791,363,754,712,907,527,583,521,689,240,827,754,575,002,475,104,
090,652,633,634,555,852,498,558,856,059,394,925,439,496,711,755,879,182,410,
394,113,013,839,381,060,004,231,180,045,404,183,127,376,724,478,541,376,404,
317,274,747,288,139,643,118,370,054,755,682,948,065,337,509,838,821,318,004,
793,690,280,864,755,436,688,976,704,893,970,983,544,478,362,040,869,739,218,
838,303,759,470,170,108,561,874,376,964,692,468,238,834,477,368,642,463,799,
156,622,985,272,185,082,492,276,633,010,412,057,762,283,471,477,265,061,382,
788,266,737,417,405,550,627,827,496,433,696,299,318,243,362,462,661,195,380,
771,557,052,679,752,421,622,703,856,903,107,218,935,322,458,983,429,417,680,
323,558,811,458,222,199,445,420,829,512,414,426,052,921,971,557,012,457,452,
333,183,421,209,512,176,814,395,688,665,182,012,932,935,228,313,611,268,782,
844,750,095,561,098,850,716,928,308,431,572,535,350,709,544,109,443,386,589,
843,114,094,962,406,733,888,116,773,159,792,758,641,349,363,895,647,636,968,
109,376,772,046,603,174,040,323,295,108,408,345,206,898,065,288,392,761,875,
443,527,834,510,101,279,551,039,707,678,894,960,958,797,170,884,849,362,959,
770,344,489,355,591,000,478,110,867,571,914,770,657,354,166,363,516,809,023,
226,232,293,049,415,655,875,081,277,239,710,616,543,458,563,824,922,514,871,
068,958,228,131,385,384,625,087,628,011,858,191,272,540,383,403,206,465,613,
415,869,505,718,022,135,637,659,719,822,458,348,263,238,375,017,111,633,009,
388,141,206,464,958,559,006,287,150,562,559,614,219,706,892,861,452,943,347,
677,137,008,233,459,915,705,637,523,204,440,836,784,031,365,360,033,855,088,
414,605,933,065,183,681,583,388,340,956,446,608,374,775,172,317,129,993,581,
689,472,322,094,902,519,286,040,740,921,006,996,420,553,000,575,049,593,008,
120,310,453,414,852,797,639,303,577,591,784,214,609,615,681,066,173,226,002,
025,980,114,266,442,645,771,195,377,147,846,877,977,250,799,259,973,423,823,
670,666,545,761,486,670,309,428,822,284,549,196,862,365,729,560,731,210,257,
147,219,292,373,762,836,390,627,686,909,007,114,849,719,021,023,291,961,771,
191,512,667,957,811,033,575,100,313,229,401,823,262,258,690,225,193,222,485,
483,265,053,037,107,264,452,985,014,635,586,674,129,723,853,168,360,773,293,
575,544,430,444,696,949,004,432,073,908,587,971,736,487,468,422,481,472,708,
704,892,530,237,422,492,003,495,325,649,138,168,508,098,142,048,207,501,138,
002,234,014,754,562,663,331,115,046,304,130,655,667,841,220,518,073,432,773,
592,528,013,667,129,500,092,605,363,364,629,917,608,124,181,128,479,408,385,
947,095,091,390,935,459,415,074,225,503,808,163,338,737,110,784,344,639,871,
433,244,140,221,382,051,213,278,964,692,736,336,981,953,693,099,008,439,064,
442,466,307,050,967,397,054,737,882,995,746,607,135,029,838,268,866,730,158,
985,909,208,171,912,291,620,612,158,866,939,236,986,327,894,066,764,731,733,
174,127,083,789,245,695,476,601,216,711,973,710,047,121,199,448,686,021,027,
349,405,008,859,982,148,750,888,355,527,043,268,912,606,761,414,632,384,150,
138,517,549,686,722,145,620,154,807,759,459,692,712,696,255,269,026,976,079,
679,894,277,884,966,076,332,035,888,075,991,689,341,517,945,710,065,630,791,
589,439,665,371,384,433,954,659,084,361,130,088,983,637,121,269,097,248,545,
903,145,083,177,477,010,747,549,005,479,895,892,916,643,987,076,644,508,585,
051,467,079,411,204,271,817,336,296,040,969,960,982,752,614,147,146,874,584,
295,704,001,632,708,440,134,454,236,971,623,801,863,132,735,145,730,415,571,
721,649,267,027,573,961,883,433,964,026,087,911,762,040,542,526,623,595,551,
722,312,183,855,857,611,157,380,880,795,348,321,172,674,291,198,803,906,804,
039,641,404,490,120,239,475,127,459,765,849,553,209,955,891,749,821,690,909,
850,720,925,670,934,563,124,145,255,534,307,438,840,654,729,894,448,508,783,
970,072,529,102,622,051,076,726,488,942,053,753,752,497,952,876,803,696,905,
430,482,391,055,015,888,484,984,223,415,044,251,717,412,546,734,663,639,132,
509,899,251,580,676,769,564,052,440,022,669,496,710,265,661,831,756,727,195,
330,992,186,754,550,012,075,114,067,758,193,416,907,006,931,858,681,968,788,
695,686,400,898,748,539,304,726,749,318,047,441,475,291,614,187,676,664,882,
726,236,275,371,396,960,714,903,425,984,535,540,380,199,385,811,024,827,508,
086,228,800,582,611,616,953,068,532,429,318,375,766,583,483,231,841,435,389,
665,416,552,460,642,663,153,480,140,211,993,027,088,701,380,130,868,344,699,
292,169,846,142,511,304,937,457,059,912,757,959,842,564,321,582,042,989,913,
080,168,244,655,776,463,737,009,542,395,084,520,592,743,479,562,730,398,907,
195,435,086,381,205,029,738,590,653,092,619,524,441,550,239,438,811,640,391,
790,669,381,030,233,281,856,695,076,715,225,218,965,442,151,687,936,061,672,
015,934,491,023,741,976,044,923,445,230,779,369,289,185,296,320,262,125,487,
256,156,291,600,733,796,568,753,478,188,660,239,240,720,629,094,035,782,138,
167,821,184,376,047,994,618,470,651,451,552,986,136,439,380,728,374,323,977,
290,934,260,100,732,864,491,841,428,641,653,795,055,843,894,083,384,131,432,
111,928,867,303,534,227,682,191,355,715,740,682,787,058,879,614,619,233,262,
545,678,823,005,517,409,775,717,132,935,697,726,734,753,736,189,045,053,776,
649,170,088,193,964,342,719,534,122,271,501,210,781,421,009,196,052,097,275,
725,466,669,135,536,479,823,022,741,862,933,129,869,379,255,435,646,920,044,
943,594,377,623,830,154,391,754,046,758,794,505,973,362,767,286,699,245,408,
279,697,284,442,453,847,621,018,063,116,825,857,242,980,101,699,964,993,195,
879,851,918,607,427,728,732,675,041,265,727,516,831,510,655,027,594,592,457,
925,982,650,630,570,793,658,867,032,371,307,568,146,953,803,076,528,261,217,
713,467,461,088,930,170,557,422,998,088,154,665,050,718,854,030,902,841,117,
973,095,924,955,771,156,004,303,920,215,604,833,405,741,849,480,854,882,206,
119,578,039,291,111,061,121,359,055,354,745,073,690,728,606,927,506,719,910,
528,128,324,451,029,485,810,746,027,228,469,247,307,268,901,541,433,258,405,
583,417,908,623,921,170,890,589,096,715,292,054,487,991,077,252,190,422,380,
420,317,725,568,313,203,470,559,993,655,151,539,254,138,082,972,247,890,381,
112,828,304,500,891,760,115,426,143,993,655,637,759,783,692,433,545,283,400,
531,867,582,919,099,511,112,702,877,354,211,704,617,128,432,735,954,604,912,
522,063,974,494,632,671,362,281,385,368,490,006,468,950,082,979,748,071,349,
212,310,017,885,390,971,040,555,431,615,361,970,013,397,769,799,970,623,349,
243,667,896,895,255,030,629,249,897,045,785,458,123,742,954,800,674,599,774,
700,673,994,440,153,854,269,559,912,162,719,340,464,698,718,212,784,472,930,
166,058,789,419,425,894,824,129,596,716,927,869,742,771,456,303,720,729,701,
914,262,712,510,345,003,486,605,156,268,213,247,144,568,694,075,125,235,437,
974,680,205,198,484,796,986,917,572,659,691,366,751,788,864,233,027,173,090,
563,598,115,978,725,849,615,222,614,767,290,466,730,268,259,308,639,989,269,
497,244,829,900,991,213,536,895,187,227,706,156,133,458,377,276,640,340,020,
950,684,776,746,288,633,725,410,334,764,792,633,192,028,251,791,772,412,071,
315,512,999,670,809,039,308,743,890,631,297,564,128,732,279,548,452,940,091,
945,990,037,088,260,063,148,531,318,886,037,419,200,107,134,944,833,560,629,
341,708,933,532,726,066,960,269,352,876,781,981,751,276,189,419,732,321,884,
679,399,928,803,849,356,605,258,483,797,525,537,712,727,026,606,991,778,709,
921,880,391,074,651,672,949,187,051,757,088,782,599,038,536,494,053,242,125,
966,369,819,029,214,430,220,282,620,629,108,714,947,227,429,270,105,402,991,
661,363,317,334,551,810,840,965,545,701,821,050,564,459,351,063,568,513,192,
646,630,019,485,771,630,196,180,356,267,068,186,821,754,386,016,486,277,571,
477,347,109,124,005,521,617,574,613,971,731,658,568,142,777,226,215,679,291,
925,207,954,398,657,498,905,341,553,090,469,936,602,369,392,562,395,186,571,
844,052,651,867,706,142,133,617,474,581,523,733,951,327,885,146,890,293,096,
657,467,784,367,334,069,245,498,591,160,294,213,568,586,526,496,084,909,854,
768,308,621,553,133,241,092,823,194,705,070,353,792,079,759,508,709,463,989,
946,668,922,990,690,359,960,592,740,898,556,500,383,424,100,010,276,631,961,
733,763,832,998,692,007,884,492,751,064,900,664,194,882,667,105,910,623,282,
890,772,636,241,119,504,186,259,908,081,476,880,730,463,780,952,789,726,548,
370,019,888,979,905,732,221,986,753,411,673,563,653,331,138,593,313,843,342,
763,450,185,124,428,063,051,890,787,316,755,467,660,860,947,133,592,579,965,
590,255,845,603,077,333,082,830,893,493,982,835,956,744,588,940,421,103,568,
768,269,577,531,932,394,230,723,527,850,119,204,813,239,137,916,840,754,466,
675,639,439,583,935,805,055,917,214,067,908,660,544,879,386,595,464,765,434,
744,396,414,079,888,859,086,409,754,906,617,196,482,634,227,833,060,198,484,
653,163,985,583,844,003,140,644,180,983,415,638,292,556,089,319,616,807,155,
977,511,042,106,286,674,433,502,241,385,531,648,213,149,207,319,943,019,918,
538,343,762,410,403,868,876,089,965,850,094,800,092,504,393,831,002,412,311,
814,803,859,797,260,861,097,261,705,867,408,333,546,915,873,748,780,042,102,
679,082,984,551,542,593,219,441,382,840,895,211,270,344,673,435,790,451,407,
914,679,693,541,512,817,614,415,955,786,761,843,263,783,606,841,875,299,443,
280,726,227,571,850,588,627,065,278,682,085,036,388,176,989,966,984,364,139,
386,926,581,935,202,963,086,207,719,838,679,753,647,728,325,142,550,689,457,
899,135,764,183,108,418,068,791,655,977,808,921,362,763,333,847,822,587,170,
388,062,956,194,120,659,127,417,977,766,115,400,669,048,052,033,693,846,302,
375,205,999,509,953,445,498,794,107,881,005,949,304,944,507,219,478,136,705,
821,253,079,810,216,204,422,283,524,664,027,841,166,314,410,746,053,940,140,
327,745,802,463,368,302,165,610,235,579,727,783,413,573,908,529,411,125,639,
146,879,791,579,543,362,712,868,799,710,760,035,252,488,883,254,193,594,009,
415,663,395,041,393,285,273,928,645,140,648,314,302,630,985,092,683,238,857,
326,797,764,373,066,492,051,145,384,192,171,298,849,194,926,724,047,978,187,
958,546,852,943,477,002,334,266,925,348,208,333,398,502,558,935,145,476,850,
249,382,942,322,048,383,471,950,145,272,946,256,045,491,139,906,140,192,643,
644,510,696,211,091,409,692,015,917,260,806,970,556,187,868,815,345,317,872,
570,356,600,170,500,034,604,663,399,239,753,028,923,347,416,116,765,946,730,
022,073,008,115,400,217,243,673,098,190,933,922,203,406,329,502,725,439,181,
405,629,629,610,117,826,497,521,255,725,878,886,691,874,118,966,283,569,398,
308,948,963,970,510,404,001,530,883,244,986,838,957,897,274,594,755,704,617,
395,247,882,318,554,200,395,550,705,879,372,264,329,376,080,855,712,347,101,
728,486,373,027,117,154,111,481,478,229,267,981,713,680,459,977,823,497,583,
975,559,888,203,245,988,083,631,855,410,500,224,433,593,997,809,228,434,782,
289,785,461,379,857,894,557,352,365,709,148,512,681,143,885,605,473,428,605,
803,655,386,903,693,509,262,256,286,781,486,345,799,114,031,224,353,104,688,
424,206,705,552,630,912,386,006,748,866,651,330,574,645,351,007,702,773,512,
963,799,650,511,080,268,626,454,184,541,603,759,031,348,344,904,404,116,389,
663,535,806,511,960,626,941,082,647,294,849,906,597,456,930,545,345,644,879,
169,918,439,803,864,709,117,128,353,087,865,009,680,891,358,981,764,046,739,
217,731,018,407,408,817,046,308,632,916,694,888,182,298,529,723,907,862,657,
174,955,435,895,010,214,456,792,534,439,586,589,380,884,854,869,542,108,361,
826,600,512,650,302,154,308,761,922,387,917,412,245,940,695,830,734,864,275,
887,461,940,186,895,875,446,165,167,035,715,613,040,268,457,913,093,131,377,
253,952,863,674,115,892,895,174,048,385,207,003,228,476,466,449,314,574,297,
309,951,997,739,696,574,304,347,209,116,766,146,028,491,167,913,347,403,493,
632,557,304,417,432,424,466,996,046,044,924,467,441,535,993,701,081,831,189,
694,282,900,047,481,556,015,657,113,214,821,906,626,891,953,695,752,087,577,
967,076,038,665,610,214,572,226,770,521,883,509,931,212,367,656,838,108,274,
191,155,108,895,555,956,879,855,055,123,429,929,773,493,776,436,525,257,965,
236,587,433,625,621,451,079,393,482,750,970,589,815,225,819,919,060,705,259,
088,129,285,220,550,191,110,588,794,023,220,241,259,805,197,911,485,847,829,
794,150,683,679,992,929,493,809,269,050,354,696,730,986,722,608,310,442,913,
427,538,985,242,248,333,059,692,248,969,813,818,080,445,822,000,265,893,724,
328,657,478,718,786,602,722,123,627,149,318,941,555,183,381,200,627,248,950,
406,491,817,073,435,634,922,304,217,634,884,102,465,343,891,452,177,380,237,
535,605,775,221,333,258,658,665,689,856,940,167,067,123,011,224,142,298,147,
644,458,366,897,686,335,259,305,744,919,024,127,299,702,265,861,370,987,414,
681,974,415,376,408,367,251,959,288,291,196,026,504,707,349,312,365,439,027,
988,199,511,153,381,524,097,473,001,129,860,233,944,048,626,589,090,097,170,
251,232,649,716,982,298,664,932,810,554,713,415,865,496,733,829,902,131,659,
945,181,858,403,659,360,253,441,442,062,837,709,126,168,877,732,184,134,650,
078,522,100,778,736,652,530,417,632,633,206,098,637,280,981,241,226,935,983,
770,511,985,570,308,055,247,814,862,467,008,875,112,474,044,891,527,623,511,
917,476,623,794,566,248,106,912,197,301,593,091,776,354,726,924,457,268,601,
571,461,401,377,093,467,617,769,201,050,607,094,065,055,452,410,206,998,331,
818,217,076,138,117,561,381,271,564,347,941,894,046,794,329,084,510,050,475,
708,641,880,147,613,329,617,125,972,987,081,203,608,048,286,754,439,354,850,
955,459,489,939,080,154,930,821,276,717,430,075,940,116,170,299,498,450,919,
750,171,491,711,097,531,976,395,440,575,717,864,495,512,076,858,953,306,118,
935,474,841,010,252,023,716,065,273,885,745,490,432,629,644,325,855,998,457,
038,413,028,976,480,889,109,849,988,677,788,360,682,890,869,345,952,741,686,
181,967,049,167,182,921,346,720,201,703,916,064,751,751,954,446,232,908,376,
239,412,010,903,092,798,900,629,159,818,986,122,339,565,725,670,316,794,997,
090,828,563,909,182,053,147,121,988,936,054,659,348,975,433,585,560,183,756,
448,142,268,537,271,850,419,348,704,516,982,904,074,239,369,226,463,094,758,
890,287,007,584,147,322,635,333,792,191,246,031,423,320,064,883,566,319,020,
229,290,961,413,693,326,437,054,970,251,737,453,129,761,851,813,889,539,028,
236,118,741,920,863,794,857,256,211,265,566,863,560,962,438,439,043,694,992,
098,227,450,106,016,632,504,626,736,288,777,575,242,581,479,163,167,517,205,
588,737,282,557,260,264,034,314,749,655,267,058,395,187,528,608,964,484,880,
083,726,115,057,502,343,714,514,674,170,099,234,244,029,507,774,635,495,841,
688,772,193,391,654,332,012,533,150,561,140,123,232,935,357,493,973,384,785,
880,489,201,777,151,716,882,899,138,350,959,552,200,707,525,534,519,277,617,
041,962,025,958,317,486,631,797,949,167,494,416,049,245,855,438,946,904,500,
503,502,653,654,498,742,781,812,954,845,855,464,586,163,113,656,731,245,584,
345,766,374,173,891,225,241,172,800,541,172,530,772,528,719,792,217,322,299,
691,532,656,394,656,056,501,921,012,156,214,667,176,989,606,283,699,087,221,
414,929,744,446,830,681,513,194,630,753,524,598,753,152,139,540,672,743,122,
163,034,545,417,165,918,754,770,365,018,531,207,984,530,552,372,688,293,074,
243,423,827,233,346,879,056,349,868,060,925,708,785,253,497,798,394,127,379,
509,904,448,967,656,772,160,041,198,648,182,298,626,456,297,007,601,724,540,
410,543,771,446,718,560,722,563,471,795,997,290,062,743,371,623,878,566,397,
814,125,968,266,095,193,596,014,790,141,672,466,312,319,835,184,018,557,173,
281,703,168,613,529,823,471,103,623,326,289,238,378,571,019,430,338,668,633,
952,879,323,420,809,678,661,515,641,303,638,163,996,858,483,459,994,613,266,
822,633,442,473,769,041,667,139,488,305,701,620,097,647,562,869,864,424,218,
877,977,698,573,962,537,569,936,388,842,457,521,947,380,574,790,482,814,289,
496,778,200,856,634,561,155,445,781,660,485,456,578,727,133,321,563,878,209,
910,062,655,488,696,754,873,222,719,610,837,080,575,635,474,440,768,186,318,
054,435,027,931,379,426,418,936,237,970,417,008,380,718,940,422,488,617,871,
021,695,321,535,089,237,724,604,915,911,917,151,939,827,430,560,622,188,280,
671,446,638,970,878,166,686,647,042,037,354,741,384,883,202,746,060,357,222,
793,917,911,349,954,271,755,634,890,428,255,769,471,635,251,761,373,648,697,
695,366,209,803,210,189,531,072,148,800,876,830,329,695,415,157,295,170,256,
678,504,124,482,146,778,481,065,903,768,236,026,528,945,485,101,846,031,474,
568,419,457,837,575,464,508,477,100,582,117,625,889,734,549,610,402,994,576,
452,999,361,986,988,981,954,886,845,751,837,963,129,809,909,574,095,049,482,
297,526,779,792,469,349,220,581,075,277,145,086,344,506,668,347,192,825,179,
689,614,438,428,190,417,443,175,390,498,519,249,088,036,336,244,553,847,260,
195,741,431,303,240,854,431,155,004,185,962,512,201,348,825,691,406,175,167,
907,714,667,442,507,214,553,291,966,331,156,378,941,487,273,448,052,313,930,
597,121,056,766,036,203,996,774,074,944,114,588,891,973,973,709,593,057,191,
630,572,846,515,168,936,006,498,278,867,782,482,240,790,496,313,885,644,086,
875,440,779,100,835,218,172,609,351,841,472,988,004,849,381,793,064,230,969,
631,081,032,334,955,748,259,680,524,540,581,503,102,710,878,458,768,819,596,
814,628,662,894,658,960,627,552,755,289,161,353,963,920,880,260,177,609,004,
646,333,313,913,985,555,558,393,997,511,749,452,033,611,959,560,672,675,024,
658,782,090,467,687,254,476,212,742,392,118,231,858,383,805,716,998,943,030,
953,722,225,197,844,052,909,274,589,997,629,272,482,428,914,235,776,448,027,
816,707,737,396,002,515,953,284,888,482,293,476,022,093,530,066,267,935,577,
032,665,451,298,127,651,081,104,179,578,642,222,480,414,709,002,458,938,681,
962,006,714,124,363,136,653,831,691,017,938,727,526,412,479,461,352,753,649,
158,261,426,215,116,298,200,137,964,324,328,069,477,536,685,401,331,977,211,
064,431,685,752,694,625,049,097,735,112,964,188,851,438,485,567,515,731,696,
182,348,486,559,939,789,667,480,732,568,763,811,232,430,596,016,135,224,900,
843,000,486,220,911,237,023,108,045,355,106,048,987,689,523,294,390,924,336,
786,417,472,866,134,495,200,267,621,037,704,353,635,963,559,393,994,290,255,
550,326,678,754,885,423,771,972,010,563,080,039,867,379,639,680,459,939,920,
358,157,396,966,158,497,863,485,395,878,882,824,111,593,330,120,179,273,086,
275,568,649,490,675,245,606,869,229,144,885,881,175,633,752,562,479,964,469,
720,731,664,932,489,554,263,769,755,841,450,402,989,365,274,940,293,432,151,
081,588,572,655,459,508,041,229,005,456,455,876,849,665,244,494,790,142,212,
647,445,878,986,380,078,376,577,643,667,344,542,655,744,160,401,206,574,358,
167,122,242,434,077,631,476,294,245,248,988,152,637,861,722,942,591,803,783,
484,989,151,740,869,094,346,052,504,046,316,013,084,878,811,710,777,116,005,
061,790,743,159,362,725,027,911,363,642,300,179,643,824,305,537,212,789,675,
327,659,387,515,423,358,365,789,943,512,733,757,334,009,345,537,857,555,297,
248,108,304,208,983,675,798,713,065,021,885,476,299,346,687,696,711,574,627,
168,780,536,519,493,786,871,597,300,148,118,610,254,653,532,304,662,612,588,
950,886,006,969,798,234,489,600,246,068,701,854,687,939,254,143,009,827,750,
991,335,802,675,761,603,316,323,956,955,534,974,102,234,542,788,051,711,825,
736,861,207,155,197,569,837,894,733,559,480,040,612,504,329,746,185,234,163,
387,281,476,823,534,069,654,066,198,182,691,966,257,106,391,985,165,380,935,
855,149,710,987,338,832,799,803,049,594,552,787,228,294,118,885,427,967,582,
142,436,427,943,816,478,621,640,420,341,417,265,722,508,050,725,873,954,965,
909,674,850,152,162,462,097,371,911,825,381,060,597,912,014,109,780,798,968,
494,149,070,653,819,046,617,680,428,283,550,405,220,497,838,272,133,095,604,
664,304,857,469,293,229,726,842,409,496,802,243,717,380,103,584,125,161,329,
028,272,972,638,309,032,514,171,769,997,011,886,931,511,364,466,777,243,308,
387,790,969,450,814,948,815,355,142,103,048,581,881,084,762,611,696,227,794,
677,872,823,570,689,035,203,020,144,039,930,489,551,508,719,922,914,502,024,
190,896,625,064,252,448,632,170,503,156,009,474,613,747,399,298,237,076,766,
693,547,210,195,110,653,925,337,466,608,968,608,648,971,431,765,362,887,944,
775,463,611,830,246,474,986,229,364,676,412,283,701,833,048,244,087,420,515,
042,047,273,777,537,750,483,790,256,538,605,579,410,150,488,403,083,465,595,
557,818,682,118,828,154,216,484,747,227,221,020,503,084,977,117,336,312,902,
625,805,167,729,580,332,674,572,526,148,483,518,617,444,841,223,787,278,224,
528,187,759,102,202,944,625,950,243,957,150,424,801,197,709,703,886,978,840,
159,969,269,103,983,092,193,376,621,702,648,862,046,224,661,946,589,404,051,
135,358,911,745,486,240,853,107,656,793,075,284,711,246,642,991,603,429,207,
672,412,655,272,741,842,533,568,026,511,344,095,575,369,622,993,357,792,829,
341,112,420,498,948,429,375,369,544,605,248,137,073,571,559,316,333,194,950,
410,236,984,996,584,813,396,004,056,501,448,923,948,358,415,251,931,330,931,
604,018,307,879,318,701,136,195,356,494,998,707,647,086,133,529,535,026,286,
480,418,261,328,922,847,883,815,316,336,065,212,145,161,395,756,293,783,528,
355,736,724,499,324,478,088,533,690,772,320,863,994,085,002,464,783,868,528,
443,605,317,085,408,317,245,913,266,382,865,251,813,681,962,347,541,685,643,
399,562,347,062,036,318,184,974,882,540,066,866,097,081,981,722,295,394,011,
652,681,729,397,572,013,935,171,528,983,950,056,989,395,053,492,783,962,495,
024,920,770,240,915,255,073,199,540,135,059,333,626,075,339,692,085,939,567,
137,991,919,503,053,903,722,769,394,764,471,330,395,254,266,642,820,787,276,
407,254,630,190,595,580,215,320,974,545,427,935,260,854,403,380,639,917,357,
351,603,658,370,823,847,228,606,629,409,431,431,526,030,585,377,911,751,378,
218,127,580,477,847,210,845,119,472,433,873,297,795,748,974,504,748,419,932,
166,375,673,162,204,367,746,076,815,506,996,370,804,469,953,427,968,018,231,
380,984,965,877,086,030,713,012,089,917,281,765,759,751,615,695,900,113,379,
327,944,135,322,809,273,625,954,897,990,296,912,604,687,385,120,243,252,908,
684,932,042,035,423,788,458,715,031,637,122,768,798,993,555,739,125,695,657,
970,680,819,818,584,047,925,695,026,416,375,910,499,228,809,557,781,902,074,
629,368,387,564,734,342,639,275,038,717,985,174,822,551,083,879,409,508,513,
454,061,103,675,341,775,365,293,549,458,792,171,448,942,853,685,528,209,796,
705,123,317,006,742,189,702,699,171,188,900,096,004,759,580,834,562,750,618,
677,806,993,376,007,756,186,338,465,016,065,017,093,967,556,622,311,298,043,
795,637,151,575,789,539,307,406,570,675,890,215,279,007,188,460,868,451,380,
785,694,605,890,683,324,275,954,422,755,919,383,300,429,513,391,110,821,805,
776,787,292,330,826,225,986,015,353,706,844,772,891,151,608,562,086,692,193,
791,296,520,109,620,268,279,889,392,130,311,027,024,236,009,131,822,096,267,
093,859,752,905,365,208,099,282,525,290,016,766,930,108,721,467,601,706,419,
147,264,597,523,954,780,252,049,472,183,379,456,297,698,964,661,061,503,276,
649,796,371,752,080,583,467,551,934,356,426,922,228,577,344,339,212,494,295,
835,587,535,554,038,366,445,930,035,103,772,266,584,305,555,638,976,364,570,
642,776,421,580,103,618,997,183,786,964,306,810,658,319,703,225,841,137,407,
227,683,908,105,987,570,622,417,554,096,370,832,902,110,209,131,523,879,132,
703,251,345,709,048,609,875,215,375,061,218,529,992,580,968,305,567,844,901,
509,888,809,591,669,453,046,174,821,132,315,152,277,209,122,519,318,250,661,
980,041,176,982,628,636,093,292,687,427,283,814,763,343,846,346,925,125,543,
820,676,219,055,585,896,032,037,796,774,797,889,933,463,887,459,725,982,221,
050,143,622,305,646,715,656,909,241,607,203,395,171,660,362,478,990,951,517,
152,130,005,061,997,711,321,086,847,142,145,323,007,780,889,997,576,073,329,
137,602,547,940,020,129,440,627,719,849,194,597,986,413,779,708,223,222,390,
440,261,241,708,494,387,604,411,905,984,763,209,608,892,541,216,497,350,308,
309,109,529,538,443,170,901,678,373,415,058,249,065,378,451,235,967,624,955,
406,533,104,341,494,298,147,680,697,427,426,960,773,972,469,339,803,900,856,
738,723,627,983,408,591,342,567,814,065,839,069,426,699,351,054,433,944,075,
674,232,155,456,870,468,166,654,480,055,103,398,765,945,217,059,243,806,445,
012,568,998,139,149,838,355,780,400,041,501,519,233,221,828,104,346,926,170,
688,393,645,660,045,955,541,651,459,980,286,957,757,685,453,106,279,804,261,
977,840,775,908,638,180,617,177,297,431,819,986,073,980,376,634,101,494,257,
376,812,257,615,202,974,856,813,237,692,578,612,535,304,355,669,316,157,069,
024,363,294,962,319,269,945,362,653,146,915,497,353,124,701,697,739,881,414,
794,228,324,159,138,141,399,295,343,828,278,507,604,787,181,236,558,176,874,
443,086,092,891,648,872,862,860,809,007,056,402,377,488,082,103,994,649,171,
135,832,361,029,078,792,435,861,898,165,303,245,740,309,515,338,305,454,538,
244,935,628,044,846,653,653,209,862,325,066,721,372,250,356,836,074,633,491,
848,986,335,694,937,966,675,516,467,584,130,127,710,280,630,921,500,279,471,
362,613,037,955,642,922,480,047,234,463,093,640,206,926,737,640,338,881,597,
322,003,642,146,682,899,239,791,840,878,462,048,771,321,200,128,304,991,146,
279,439,621,043,785,604,417,157,266,318,133,610,857,789,632,216,351,035,244,
942,554,039,478,173,776,760,677,133,560,678,988,228,228,500,898,893,244,214,
909,224,699,663,697,931,209,271,507,442,667,001,531,642,215,080,876,055,246,
901,690,852,236,316,868,194,472,711,302,125,857,889,094,892,551,258,937,644,
331,129,288,894,459,756,211,711,312,560,625,122,569,170,884,529,210,708,289,
947,330,285,140,630,828,070,045,609,190,999,224,049,426,645,300,495,257,365,
920,021,181,639,386,144,952,975,398,363,086,867,318,274,212,867,652,505,547,
906,535,729,786,173,443,782,775,768,524,584,184,693,630,707,358,090,470,504,
080,999,564,896,859,172,109,822,586,767,136,826,944,397,176,290,439,771,503,
695,587,267,568,743,409,038,879,396,849,535,009,817,069,989,774,806,663,687,
433,622,657,254,336,776,215,990,201,249,699,928,802,600,589,973,615,186,214,
419,836,823,208,956,343,591,644,998,178,072,441,661,568,151,793,293,439,608,
202,974,429,866,356,298,749,550,815,921,282,300,303,340,980,724,393,367,962,
396,332,481,881,080,131,267,131,416,762,130,004,798,165,762,958,627,789,473,
988,290,470,661,918,129,467,103,286,904,975,541,037,317,506,233,949,946,509,
089,666,971,120,191,240,380,540,723,654,618,630,909,426,843,127,131,581,521,
277,031,000,751,798,712,170,620,251,872,181,479,264,608,816,984,880,383,560,
183,228,350,862,838,168,227,204,429,121,815,596,790,431,805,499,358,209,445,
351,552,358,709,722,717,669,757,154,375,520,776,259,635,182,079,715,429,731,
036,905,334,471,884,115,436,297,781,066,131,347,786,510,463,529,239,125,927,
236,489,506,095,401,467,540,315,965,661,238,396,254,981,123,683,801,083,971,
569,617,756,784,326,836,012,313,282,932,004,654,806,434,025,274,523,358,693,
769,019,940,881,903,652,099,631,016,497,602,098,745,651,666,749,073,171,746,
408,776,411,931,048,904,550,559,773,398,171,518,702,195,090,610,273,043,600,
288,291,093,933,618,554,752,097,295,883,721,773,220,679,412,180,491,489,110,
563,788,411,174,494,887,813,957,113,475,420,944,220,102,990,761,180,839,275,
220,605,502,142,142,783,976,976,051,870,570,977,901,342,231,532,598,956,477,
189,382,128,433,052,558,690,863,106,331,080,278,357,271,908,706,980,361,779,
417,715,004,608,107,028,904,524,140,570,625,413,774,333,167,684,567,403,436,
590,182,221,405,895,223,085,262,422,109,573,285,477,343,530,560,176,727,939,
820,111,964,978,716,579,282,645,264,551,744,617,913,774,481,451,387,684,159,
462,627,780,522,619,120,399,535,477,183,338,510,142,098,475,647,202,437,849,
689,340,372,816,757,004,719,453,128,833,613,165,907,711,313,023,856,217,238,
078,345,431,641,342,972,072,006,968,042,705,548,565,729,296,675,883,409,139,
514,196,119,830,221,706,954,019,393,985,203,566,185,085,826,760,300,831,780,
710,308,509,465,718,672,361,531,081,711,621,270,536,934,292,023,382,087,926,
974,483,330,299,002,787,062,937,785,793,923,163,769,253,174,698,264,168,897,
028,666,916,660,223,747,958,355,285,531,396,538,135,252,831,397,717,305,788,
743,951,391,478,471,609,841,494,267,419,353,360,415,102,697,252,509,399,185,
714,836,177,631,805,660,460,334,844,845,987,498,643,971,618,180,595,359,133,
071,180,360,404,336,560,536,925,582,050,303,332,868,687,386,485,082,545,307,
487,111,586,855,425,395,847,901,293,720,908,337,669,563,810,524,739,327,908,
158,395,425,489,564,422,449,892,019,921,854,811,105,104,009,174,446,812,139,
654,730,676,403,945,196,761,600,196,053,813,660,009,399,560,130,174,256,936,
033,643,586,333,265,086,383,813,638,994,720,035,503,910,736,042,075,815,399,
085,669,872,660,450,021,999,961,586,972,274,736,231,554,405,719,661,955,814,
560,302,080,146,875,951,908,061,178,570,906,613,742,868,388,592,587,702,139,
616,627,046,293,122,039,082,704,382,459,860,831,546,019,283,656,221,585,695,
693,014,283,973,502,465,990,743,383,594,992,791,980,810,073,344,518,055,975,
535,493,939,831,005,771,938,110,294,622,408,058,739,043,453,678,401,759,841,
311,056,064,089,478,058,236,992,769,866,024,792,172,686,126,965,321,355,531,
507,027,567,820,501,256,591,117,541,845,198,606,209,488,909,970,769,235,760,
309,753,839,414,157,234,748,232,043,060,691,664,908,084,517,188,282,021,058,
527,775,749,715,467,725,721,418,898,191,571,380,163,340,421,406,203,415,124,
973,101,293,315,492,587,104,948,091,636,020,706,663,565,491,824,994,916,879,
326,739,270,760,647,568,035,794,824,829,276,975,325,112,975,716,375,969,476,
326,494,706,812,435,528,944,026,929,926,265,351,456,172,985,296,671,926,940,
565,223,933,680,755,337,004,603,398,760,499,103,370,570,777,223,012,897,555,
438,091,668,949,598,391,152,888,029,581,817,071,933,621,658,319,093,904,157,
400,699,776,988,661,120,193,130,075,658,192,546,592,565,193,633,211,960,003,
733,376,036,040,836,130,658,889,984,614,070,823,388,943,009,822,218,663,163,
113,984,493,509,849,185,499,796,629,307,748,058,257,803,282,752,941,743,101,
712,477,079,240,140,802,397,010,665,548,180,120,808,446,816,435,831,275,343,
795,852,381,492,837,280,475,642,207,724,783,729,628,717,755,785,180,718,424,
972,428,586,022,209,338,753,746,677,571,455,483,571,809,390,355,697,624,017,
388,448,648,750,518,135,666,917,515,796,551,153,642,791,096,294,377,412,821,
042,634,785,616,990,888,791,746,002,416,578,577,222,934,560,640,781,668,144,
107,284,263,683,785,621,216,678,545,123,223,859,542,757,075,721,649,819,266,
522,287,953,227,034,242,291,366,059,091,384,499,393,064,751,505,037,516,220,
617,430,769,972,243,884,255,499,327,015,664,215,483,603,019,490,879,749,689,
269,830,830,600,233,455,198,520,188,613,380,205,329,470,983,969,879,870,088,
215,614,446,532,066,138,460,556,234,145,040,589,499,224,081,833,252,367,328,
996,502,292,749,575,297,707,681,009,345,806,077,692,637,927,277,731,814,949,
229,155,204,874,774,162,721,779,225,721,262,053,189,687,641,892,980,726,421,
630,159,318,433,410,443,354,536,099,021,670,822,136,472,805,000,052,083,287,
284,116,720,221,213,968,810,629,319,940,706,018,081,685,801,383,581,069,724,
629,550,233,830,401,524,346,412,398,195,237,226,777,473,478,769,397,210,581,
719,687,571,613,386,267,311,853,701,010,736,987,188,650,130,099,695,331,722,
061,675,776,526,694,235,646,638,969,903,961,215,667,090,709,586,998,209,624,
986,945,174,668,145,183,259,549,981,155,862,851,032,551,780,856,722,144,554,
737,785,594,338,886,499,785,122,397,592,239,041,464,897,905,638,945,752,707,
598,806,411,145,099,530,841,347,845,167,047,201,885,266,566,524,614,758,636,
695,178,232,457,815,413,873,310,296,841,722,533,260,799,996,345,389,842,701,
105,750,297,025,475,929,738,424,839,740,288,552,726,203,590,105,460,806,752,
491,771,706,580,681,937,016,410,568,445,064,093,948,855,493,043,931,521,710,
442,841,230,915,596,166,894,869,484,603,138,989,151,295,025,487,033,910,081,
735,761,705,643,165,726,228,152,335,361,881,630,576,068,987,127,283,153,491,
534,440,441,627,920,155,462,072,689,473,574,948,669,199,708,233,080,495,550,
823,074,910,572,049,175,681,972,823,007,473,890,831,188,933,022,870,929,444,
144,227,929,917,465,996,782,643,325,747,870,466,596,729,133,557,500,704,988,
019,066,439,278,139,110,229,252,601,801,438,373,037,215,716,557,357,457,064,
269,407,905,949,588,896,252,740,260,976,391,022,997,006,115,342,735,722,994,
052,580,583,894,242,442,442,371,659,880,345,913,542,067,346,717,447,224,288,
530,244,857,905,965,796,436,187,428,321,515,767,587,100,214,637,198,145,973,
303,029,179,376,015,300,758,065,272,305,719,711,147,978,339,383,172,200,586,
713,154,835,730,082,055,412,035,137,834,689,243,655,849,042,299,490,118,650,
013,088,767,683,391,137,622,857,095,970,831,668,757,189,011,448,304,233,901,
914,236,985,941,336,827,868,081,794,657,220,244,677,321,185,911,326,582,436,
199,238,971,356,860,206,778,925,634,605,725,988,682,201,275,602,090,747,736,
597,001,261,515,370,627,034,359,056,259,430,908,825,617,281,130,257,297,123,
820,801,881,325,057,980,768,272,174,894,337,373,162,904,424,425,755,269,104,
920,303,436,477,449,344,105,051,414,225,770,379,971,217,191,314,259,642,345,
318,823,746,594,121,889,680,788,123,753,839,424,578,255,179,245,418,156,440,
552,513,633,214,573,631,537,150,730,993,338,575,479,562,462,916,364,666,259,
147,769,788,076,338,007,034,557,718,929,707,134,760,259,379,687,303,516,133,
595,637,106,504,917,439,835,439,452,763,905,717,117,427,999,859,639,863,990,
857,733,583,850,052,200,524,613,519,197,552,532,287,550,107,093,844,660,739,
183,559,047,802,877,058,466,528,600,214,487,340,419,525,732,663,470,891,254,
952,181,381,035,915,758,529,538,354,059,248,669,584,194,789,922,400,418,112,
904,600,005,758,668,401,358,864,777,327,572,225,340,372,484,700,998,763,653,
654,709,811,402,439,523,420,784,037,674,689,523,286,949,833,938,391,225,174,
640,123,354,953,399,437,719,832,733,377,009,395,268,400,571,786,975,095,499,
110,508,967,150,016,957,752,639,338,211,816,976,230,499,376,925,474,082,240,
245,145,828,448,259,271,610,438,733,417,000,371,994,126,573,262,692,770,683,
714,974,105,925,782,457,760,346,980,657,490,684,864,404,624,978,987,038,157,
973,118,453,706,252,320,298,283,001,212,464,487,876,218,554,402,545,893,271,
820,920,111,391,910,573,144,336,466,673,311,487,350,556,263,093,591,249,386,
674,375,082,395,371,942,295,101,060,462,337,058,791,238,802,719,960,916,160,
513,926,587,059,327,008,755,122,694,251,099,641,867,114,739,832,969,785,760,
139,516,469,807,694,292,246,336,042,167,525,369,981,061,363,581,149,082,672,
967,452,517,441,467,739,458,158,569,218,274,535,452,060,737,092,400,352,541,
294,597,903,251,679,153,861,566,211,701,108,269,628,546,779,259,473,394,735,
894,836,381,086,124,560,861,469,346,522,408,911,574,543,396,247,324,057,060,
957,399,379,646,894,497,168,174,616,146,422,690,146,040,130,572,382,210,012,
332,095,092,123,203,295,756,603,216,095,695,631,911,132,679,481,068,938,665,
239,133,710,909,895,969,603,185,813,524,890,594,578,526,740,574,862,553,187,
077,582,843,442,521,364,614,500,498,754,879,292,328,642,301,131,012,638,955,
660,661,386,930,401,812,455,898,698,353,735,733,216,511,548,091,303,488,357,
710,225,280,246,731,925,352,458,653,234,284,046,768,663,299,930,800,017,080,
397,589,963,720,915,289,603,075,007,538,130,106,458,382,276,549,863,727,816,
047,384,382,244,159,733,583,853,421,136,346,666,746,628,350,864,502,844,276,
493,771,413,806,869,271,970,392,088,926,658,303,384,097,447,199,930,445,766,
761,510,679,090,284,320,532,383,962,911,610,532,315,993,671,011,851,906,292,
608,594,176,870,891,145,557,368,880,937,692,162,154,897,742,429,957,602,058,
171,863,912,990,987,120,621,749,201,552,332,484,237,808,175,462,133,097,985,
289,522,393,430,105,643,310,270,875,849,972,321,888,036,283,076,829,341,101,
616,920,825,817,365,986,988,172,818,689,533,253,663,560,531,408,011,305,774,
066,532,244,928,883,118,832,263,378,387,819,419,267,778,292,551,685,211,517,
159,273,588,372,641,664,226,880,143,264,336,857,517,261,464,045,568,801,865,
104,840,190,219,261,834,667,703,362,713,382,742,116,470,453,944,638,818,147,
609,602,160,580,619,179,369,652,134,175,220,406,150,359,376,449,742,653,801,
739,640,490,937,609,676,576,332,967,283,951,092,400,117,695,697,122,226,600,
209,295,315,770,222,848,714,747,148,782,428,269,704,963,657,289,469,096,612,
130,129,835,423,655,311,443,538,896,305,128,627,109,752,189,211,388,895,762,
973,166,871,475,934,485,092,202,194,738,662,583,994,741,001,821,004,775,047,
490,068,281,776,766,802,823,471,811,421,163,998,577,762,646,085,185,998,024,
022,679,651,818,096,196,434,437,787,254,965,824,284,431,213,829,250,639,911,
411,558,111,722,262,825,810,427,374,973,712,348,420,621,036,075,632,057,349,
274,090,616,454,723,948,310,767,462,088,962,539,602,966,383,360,402,998,163,
568,803,881,040,115,902,447,157,755,642,170,605,823,271,359,086,621,360,493,
057,458,353,923,251,071,972,986,589,903,875,459,116,217,193,376,415,612,166,
594,112,020,658,203,752,973,896,956,411,160,177,021,130,529,735,334,765,561,
766,986,896,260,978,534,774,522,305,075,856,586,505,908,822,332,168,331,192,
663,178,140,734,274,154,765,770,165,114,691,882,828,464,069,949,033,529,136,
155,946,439,398,922,614,419,042,087,672,928,959,957,865,616,739,759,363,302,
778,722,387,509,430,278,360,083,928,032,502,089,062,127,424,287,834,048,870,
559,496,057,213,091,583,393,228,251,798,436,936,530,908,070,220,180,056,511,
249,688,857,554,941,942,552,505,738,944,977,563,579,914,683,445,351,991,994,
368,141,893,172,444,021,351,574,323,587,101,743,342,540,780,314,333,839,736,
092,865,884,532,370,878,035,421,959,654,184,256,864,352,957,730,250,836,164,
283,893,852,465,475,082,716,242,248,840,438,752,934,711,644,571,253,378,582,
737,294,474,066,965,950,361,655,112,312,399,752,915,141,934,567,597,034,078,
040,523,938,360,877,561,024,228,737,866,934,814,841,222,904,096,917,248,922,
670,547,136,134,602,254,556,486,237,563,808,239,947,688,067,928,821,844,478,
664,159,593,721,937,103,967,891,052,018,304,812,669,829,356,636,172,207,154,
961,499,747,830,980,682,681,928,908,055,550,139,219,770,373,183,305,883,659,
716,318,311,586,232,785,844,067,995,318,783,037,759,382,234,200,403,119,000,
814,245,376,295,665,846,309,018,482,536,217,094,663,172,135,497,039,069,223,
974,576,980,353,189,202,332,726,368,856,054,460,797,877,046,087,233,268,427,
779,950,533,832,675,097,680,825,124,140,995,278,083,837,614,505,815,790,975,
780,189,992,917,054,022,521,914,886,417,178,563,866,927,009,067,777,307,840,
451,798,342,973,875,276,226,730,185,975,661,630,227,166,886,662,274,400,287,
895,967,711,220,598,679,731,063,590,395,358,547,767,232,783,966,604,001,418,
166,800,614,371,185,067,167,494,135,011,756,788,766,044,453,391,419,238,929,
435,144,210,925,050,100,089,793,912,942,681,869,126,404,239,226,922,632,064,
819,860,435,283,507,298,283,404,366,669,102,118,530,889,722,796,829,035,811,
621,363,935,099,024,997,898,647,716,255,205,089,822,778,585,264,708,605,075,
044,533,456,943,825,531,742,424,348,759,830,819,066,325,115,275,231,152,995,
185,462,518,557,278,722,699,116,697,767,472,915,539,862,194,952,900,253,500,
519,688,492,330,588,177,450,809,951,112,690,090,043,511,115,850,745,021,397,
907,794,666,367,579,452,607,780,257,886,099,094,932,505,260,963,102,666,949,
121,821,451,293,816,945,518,123,078,856,132,390,641,589,688,328,199,175,912,
427,229,874,490,949,483,774,116,871,102,807,995,592,719,056,855,896,740,911,
293,036,671,572,929,477,836,758,821,461,770,666,656,187,428,478,078,799,308,
035,047,317,382,957,035,069,092,950,667,907,767,939,870,776,507,864,707,431,
401,854,510,747,510,617,773,716,344,691,531,062,340,017,185,958,241,587,805,
974,107,542,267,418,754,814,055,133,545,746,950,977,841,052,748,430,195,068,
893,092,577,034,479,644,980,903,063,249,191,724,280,909,090,157,029,734,871,
613,402,258,116,958,076,993,686,573,223,928,458,371,338,125,963,831,335,921,
458,063,577,213,076,664,582,694,438,163,363,273,863,421,357,732,203,605,436,
658,108,911,644,508,742,496,365,038,596,390,193,429,320,236,782,673,511,631,
369,083,793,825,529,014,132,705,446,380,662,753,459,942,308,979,820,678,427,
818,922,103,723,350,394,640,256,846,592,999,487,424,733,024,833,547,380,196,
822,319,764,359,448,299,792,264,579,281,461,999,122,724,570,755,044,492,199,
157,231,755,363,685,616,507,600,664,840,554,485,457,895,784,871,983,408,287,
608,511,196,866,395,709,411,054,125,803,595,369,317,137,493,420,059,725,642,
251,592,882,423,479,639,394,000,484,447,877,132,904,505,410,544,131,111,985,
288,850,744,066,944,958,808,313,741,041,693,131,467,572,806,585,872,120,113,
676,240,923,211,899,016,373,871,593,802,254,790,063,724,514,381,006,223,523,
570,373,086,419,580,041,412,898,856,962,968,860,837,645,799,360,105,428,760,
027,447,998,865,358,986,552,856,551,239,898,509,620,445,022,181,043,575,017,
286,469,191,191,094,215,222,921,283,938,686,289,940,301,420,676,551,037,044,
739,263,938,728,837,437,531,093,259,936,191,566,777,410,732,004,935,776,980,
191,792,684,344,460,020,095,698,882,084,179,786,413,720,233,264,355,752,530,
689,776,504,091,432,907,275,258,456,123,456,539,447,837,655,159,753,535,088,
250,773,473,300,643,842,969,554,025,399,330,674,125,338,115,491,366,296,463,
664,809,358,188,943,328,654,273,047,595,450,466,394,408,842,924,467,407,674,
739,367,131,343,165,225,097,116,044,078,891,173,381,850,123,643,628,040,162,
505,191,118,223,191,742,852,606,462,804,216,268,481,504,601,839,177,379,667,
810,519,939,692,147,075,663,983,096,518,365,626,926,016,536,861,993,349,942,
783,662,820,488,699,990,472,665,839,901,602,211,216,259,862,242,153,212,757,
863,153,403,143,605,785,415,018,791,222,313,212,125,284,560,431,498,186,068,
130,181,176,398,546,207,947,570,301,699,200,420,591,646,187,759,489,456,760,
255,259,848,259,841,163,118,357,527,240,175,379,342,166,898,962,035,739,723,
437,550,662,380,939,251,263,780,421,108,551,804,270,623,289,427,644,175,913,
838,785,489,666,058,082,150,204,877,196,264,011,740,683,647,229,139,344,548,
402,389,700,903,966,671,475,179,026,568,581,392,868,871,933,133,633,436,402,
179,056,704,216,882,903,882,457,284,791,018,723,404,310,889,410,526,027,045,
041,972,045,813,962,017,913,447,818,798,852,838,351,403,322,396,232,602,133,
340,510,617,223,135,333,827,156,322,647,109,591,103,009,603,093,992,207,514,
145,257,539,648,137,380,745,253,854,879,757,353,798,109,581,931,952,380,508,
526,559,102,601,336,973,452,153,762,095,813,677,406,117,509,137,292,219,710,
064,387,400,342,038,772,146,762,362,291,729,215,360,155,438,384,615,599,736,
132,712,987,863,310,343,894,386,166,292,775,961,584,159,473,451,249,734,942,
333,976,356,018,334,352,400,524,573,838,994,340,393,768,384,315,032,143,784,
998,057,981,064,641,274,454,636,871,799,441,143,436,500,056,992,502,596,197,
050,690,469,077,115,489,123,826,549,572,811,208,447,532,978,731,897,013,109,
652,798,889,300,851,622,932,590,392,895,388,413,859,626,081,269,714,417,140,
963,138,578,927,202,010,768,377,851,746,940,716,673,186,593,616,077,501,453,
016,252,307,901,340,015,742,950,143,816,952,687,584,769,916,417,404,654,359,
370,236,535,584,077,170,472,307,057,701,303,917,251,167,060,737,604,596,454,
189,149,617,690,885,247,696,387,654,917,030,650,816,638,435,322,278,393,030,
653,336,030,673,504,358,951,043,615,275,584,996,714,253,051,396,345,480,412,
046,077,823,466,818,528,176,345,351,001,208,968,447,972,189,811,810,880,745,
124,193,833,696,008,894,716,074,904,746,003,030,962,873,385,337,966,489,209,
184,779,128,034,341,391,217,217,772,944,873,901,063,276,480,431,224,818,667,
929,449,879,357,310,304,703,145,403,279,437,362,376,222,415,584,819,224,893,
945,654,135,764,554,366,953,364,225,609,197,464,145,098,680,509,712,084,645,
711,950,350,502,428,110,012,353,877,897,807,751,157,813,204,055,551,710,690,
003,011,921,636,269,239,752,642,760,568,657,683,353,273,356,632,963,757,478,
131,201,705,630,000,053,209,591,452,344,621,328,496,576,957,359,060,241,682,
896,362,249,036,604,277,182,588,213,152,570,438,560,392,342,903,472,450,633,
093,060,664,180,607,306,602,200,567,332,685,275,153,730,539,071,448,442,425,
754,936,503,194,496,713,900,659,023,666,156,538,828,589,539,057,038,954,053,
152,309,615,972,533,129,600,301,851,637,805,504,851,816,753,406,401,704,432,
646,875,004,522,444,340,356,781,629,364,243,956,981,115,085,131,443,851,664,
486,535,608,885,467,796,599,063,804,709,366,172,388,164,869,722,143,770,019,
225,871,682,004,604,733,364,945,344,084,063,223,752,219,501,578,959,290,923,
130,589,221,123,413,493,535,065,911,491,769,760,697,397,993,620,255,624,828,
756,044,513,777,490,386,069,956,802,788,693,150,866,294,557,922,686,013,429,
517,487,544,951,272,510,730,071,687,668,790,262,954,461,087,361,889,974,328,
037,669,656,838,687,059,204,286,371,013,459,991,893,772,493,996,307,766,183,
139,580,567,567,743,337,184,892,243,231,490,974,924,423,210,432,083,694,110,
202,274,277,539,622,292,069,327,887,937,316,455,165,025,515,147,365,831,324,
715,606,539,183,809,818,875,659,610,336,110,330,164,585,246,430,543,923,961,
300,117,645,795,160,108,463,330,972,109,635,158,632,687,418,133,243,636,053,
629,393,531,432,178,015,083,372,028,806,793,257,085,483,140,789,947,922,738,
453,685,000,550,951,457,189,284,242,209,578,036,436,062,787,946,191,205,652,
185,092,548,748,019,269,340,751,413,744,890,022,975,787,124,959,803,095,464,
058,532,206,181,876,498,600,306,080,088,169,412,678,635,626,955,591,362,813,
442,433,581,383,274,026,160,776,343,936,947,733,891,013,153,947,851,332,615,
417,189,535,852,448,199,265,181,756,167,950,236,740,123,315,721,353,797,216,
433,476,596,900,654,086,152,054,964,228,517,823,592,494,609,616,802,365,180,
377,630,272,782,683,145,932,890,484,252,511,373,895,133,393,911,718,102,095,
850,461,259,514,344,614,481,769,149,904,928,617,157,653,138,214,591,859,660,
572,874,015,038,239,447,536,981,745,216,954,561,981,170,117,860,865,204,859,
750,213,619,242,167,946,723,798,420,027,865,494,144,574,936,084,371,963,228,
527,419,265,505,408,020,532,383,017,869,579,476,198,347,620,426,727,559,036,
494,019,044,489,318,955,369,246,871,126,099,062,013,590,611,549,702,459,844,
381,725,960,038,657,882,698,478,680,708,128,531,977,995,555,183,698,614,696,
709,705,896,937,029,639,805,307,717,740,379,760,911,008,033,506,313,707,245,
968,302,215,651,311,689,003,851,676,212,442,077,799,824,134,303,389,858,810,
340,011,664,044,549,784,254,405,377,779,533,856,806,314,720,262,539,520,666,
895,528,499,577,045,715,843,904,168,011,645,100,449,656,429,328,376,537,362,
616,072,700,949,646,203,862,986,748,410,080,818,429,256,267,554,405,593,114,
587,886,469,101,394,884,904,573,036,262,999,489,091,819,590,566,233,808,540,
521,325,343,992,450,360,839,970,936,609,591,205,044,083,546,602,381,826,823,
355,365,276,574,976,097,046,540,406,895,195,213,330,839,777,403,122,220,441,
521,067,943,754,659,526,607,922,234,844,101,345,341,240,050,889,837,735,969,
437,652,843,848,091,397,311,207,012,335,256,252,967,727,755,897,604,731,873,
152,809,296,562,721,497,428,425,693,269,779,872,628,079,597,834,065,404,365,
863,825,462,038,033,546,213,842,240,591,081,437,812,049,663,751,226,208,647,
444,692,612,793,606,716,489,644,493,002,133,153,197,777,439,961,320,737,538,
015,045,085,555,273,990,129,461,487,404,886,428,835,399,413,363,523,115,068,
886,389,311,748,803,206,949,840,883,370,830,781,600,644,157,135,185,326,277,
844,047,739,952,373,310,340,728,061,366,861,466,022,899,611,399,734,291,938,
351,497,654,952,630,015,804,068,139,714,035,311,872,441,224,648,875,016,718,
260,583,356,231,487,866,880,059,437,578,131,083,595,843,820,543,436,115,047,
419,036,286,726,540,482,945,199,076,946,062,957,294,698,905,262,965,035,974,
518,451,910,790,438,128,662,603,383,498,830,807,310,526,759,950,593,866,331,
255,284,061,370,132,456,914,450,840,356,411,643,346,186,725,778,678,173,298,
471,935,411,225,106,755,970,578,412,639,386,442,827,330,061,827,352,717,236,
590,577,469,281,207,057,787,024,109,462,168,192,390,373,139,496,586,457,978,
074,304,927,595,119,418,401,085,662,989,113,892,002,032,474,847,522,279,716,
681,496,989,587,227,186,194,038,827,435,990,261,664,494,271,908,907,558,144,
137,038,262,490,595,328,535,978,188,682,007,575,244,172,901,840,450,501,171,
061,685,733,809,699,343,517,113,373,526,092,694,011,951,603,953,732,475,848,
473,084,188,519,259,542,703,206,412,021,275,154,255,455,449,884,198,864,670,
728,981,353,379,425,075,419,431,251,087,089,292,504,954,045,625,389,868,283,
993,521,129,442,610,476,552,169,726,031,623,340,592,154,243,134,997,057,850,
261,148,683,590,164,037,005,647,358,485,542,681,383,346,817,420,127,206,642,
951,803,749,673,929,023,765,072,197,316,224,066,445,777,086,734,105,691,858,
928,768,446,167,257,921,384,492,409,684,924,864,671,689,120,143,388,356,702,
679,516,376,408,942,074,863,595,326,562,767,886,799,335,107,523,125,850,639,
148,686,997,088,149,702,020,859,742,520,349,863,524,967,679,253,428,176,524,
407,493,933,239,859,999,232,206,088,203,779,017,431,683,269,480,965,884,218,
653,511,116,925,375,530,437,935,444,522,517,500,455,224,832,439,205,563,681,
603,880,805,955,408,791,642,836,422,014,388,095,105,739,382,527,303,411,848,
916,266,512,987,402,720,910,712,462,545,870,131,361,789,103,330,219,013,256,
545,680,139,933,849,353,633,739,857,911,757,565,526,632,440,981,764,366,246,
722,286,687,311,939,020,182,660,743,306,146,308,998,695,742,671,901,917,849,
317,395,098,645,891,643,489,031,436,981,604,575,508,937,746,165,980,350,350,
063,316,461,591,163,309,237,611,054,021,904,879,436,156,803,872,929,840,377,
188,823,549,900,168,576,838,776,849,083,516,545,193,873,177,123,008,842,885,
006,041,705,198,169,453,993,070,794,070,596,109,237,797,674,518,083,006,422,
026,751,706,892,340,839,948,851,343,305,029,932,660,567,852,717,881,446,262,
747,974,727,021,536,065,099,575,602,824,399,006,065,292,938,413,474,054,172,
900,674,055,589,855,279,386,494,330,472,692,985,288,467,922,523,331,264,912,
845,269,871,147,425,766,939,954,560,853,137,677,959,593,216,007,443,811,377,
031,778,385,341,965,309,543,767,194,694,388,121,175,454,449,051,304,248,150,
829,591,425,971,880,962,676,153,418,720,505,941,302,677,756,099,302,649,500,
731,850,961,086,703,373,957,277,129,521,718,530,608,184,726,814,321,104,239,
712,869,296,004,884,091,062,204,220,169,000,028,928,108,026,086,020,387,603,
116,805,286,556,590,167,553,270,423,042,896,821,589,778,233,139,005,311,118,
220,674,282,154,089,387,082,326,855,146,876,619,343,185,475,280,840,619,100,
009,872,569,527,321,818,582,644,262,631,309,403,915,832,411,750,088,967,944,
188,570,989,480,450,837,199,039,709,464,019,823,243,942,245,279,423,542,211,
104,955,106,288,088,403,459,043,766,607,946,659,950,484,959,414,931,601,356,
949,733,829,032,937,248,570,245,779,405,782,810,290,154,525,593,180,453,293,
714,752,081,930,397,124,268,928,707,057,821,675,317,907,390,985,093,447,929,
051,735,127,059,719,516,158,594,391,836,230,283,010,932,187,468,683,359,146,
864,090,111,324,478,216,942,472,012,352,679,078,399,406,412,857,307,180,517,
631,640,879,815,490,266,367,324,387,119,400,522,191,272,360,650,849,917,055,
342,392,817,606,441,708,442,519,774,845,095,645,798,077,792,947,609,607,087,
819,133,087,071,418,933,881,733,555,498,071,207,454,495,365,867,608,947,609,
089,503,074,814,660,063,197,311,763,554,938,477,233,639,969,502,824,314,260,
203,296,998,254,849,196,385,831,865,702,549,015,990,020,607,232,158,780,251,
292,485,500,844,450,896,442,262,043,184,602,678,173,190,584,955,757,428,368,
444,746,390,200,496,035,886,983,872,039,438,843,333,945,148,344,103,499,023,
381,902,330,726,131,254,468,614,477,311,219,302,667,461,126,424,040,782,069,
479,959,105,515,550,953,082,528,956,132,256,696,542,526,223,325,582,661,602,
862,000,470,157,080,001,041,062,487,889,667,762,105,261,780,182,626,990,604,
197,193,732,542,900,036,835,742,049,773,211,823,925,415,212,819,311,164,596,
916,825,919,507,986,835,684,114,803,383,487,977,127,766,857,586,260,648,191,
461,694,430,036,100,306,856,834,492,758,886,192,587,491,938,966,513,227,279,
506,772,688,213,123,251,522,087,040,288,585,816,220,200,394,256,656,694,360,
921,339,186,365,414,573,937,583,486,294,453,828,066,205,806,801,961,729,945,
042,190,293,156,672,423,237,146,241,041,667,759,605,725,838,020,864,139,923,
973,093,207,997,674,745,362,986,260,247,698,101,981,514,150,359,701,886,972,
554,569,602,017,981,322,354,046,867,951,336,465,969,999,384,411,507,683,733,
173,704,197,604,170,673,877,954,225,582,572,070,092,113,136,440,005,784,943,
282,905,156,916,241,042,275,971,811,974,040,729,447,606,408,362,449,614,199,
568,185,996,114,721,966,091,308,234,009,063,225,636,634,981,593,514,521,411,
603,885,162,466,004,494,155,903,445,917,327,110,069,913,660,460,549,372,322,
415,136,402,122,810,151,614,155,654,290,576,438,923,735,300,864,887,089,508,
490,256,989,485,020,044,214,823,420,919,236,742,418,570,879,359,419,987,657,
741,442,556,325,439,297,899,911,400,570,685,461,135,139,976,541,479,889,128,
312,921,249,579,719,847,997,699,793,139,299,386,136,817,098,867,260,406,301,
782,897,778,016,062,608,553,026,666,756,095,671,894,148,541,333,199,194,705,
598,785,091,142,659,079,917,470,936,200,336,228,275,303,702,022,918,312,897,
211,752,115,879,293,139,519,647,959,186,335,284,069,476,915,793,506,500,022,
306,491,508,003,687,959,915,765,268,542,854,408,848,926,264,099,406,632,446,
210,224,869,674,393,150,750,794,172,110,432,419,985,180,691,880,045,347,112,
963,774,836,477,958,466,897,015,284,415,165,690,780,580,991,143,979,447,738,
825,673,936,247,476,330,386,092,974,417,555,072,663,657,656,435,820,516,926,
213,562,384,563,004,250,410,186,422,946,656,367,135,928,124,859,245,840,006,
888,897,253,633,194,146,358,163,887,484,552,862,792,905,064,912,484,138,498,
661,741,854,070,283,334,907,843,936,829,525,655,921,726,573,898,799,384,513,
924,064,359,126,072,451,641,981,074,761,963,637,033,808,591,363,424,243,525,
036,916,236,084,257,894,403,528,430,237,306,603,609,836,187,006,537,648,541,
738,857,592,579,381,410,545,647,080,956,189,133,575,874,215,935,060,095,583,
584,541,981,907,206,900,284,472,338,780,579,076,175,144,299,764,649,776,740,
404,352,448,035,232,246,739,484,362,690,516,365,498,412,234,632,350,875,141,
279,644,082,736,458,836,832,168,169,723,024,361,698,174,783,678,996,851,579,
529,369,271,191,483,675,709,869,392,595,904,014,628,734,930,529,302,047,609,
475,868,495,486,086,337,780,437,963,385,466,734,792,870,384,415,374,386,433,
347,410,416,377,806,313,456,522,363,884,505,890,956,159,235,190,131,392,111,
283,498,902,848,010,736,666,030,457,044,900,740,136,584,527,672,792,184,566,
266,490,840,575,480,703,731,581,002,266,892,058,982,031,358,121,176,292,516,
154,939,888,402,853,957,350,965,436,252,922,006,926,926,669,971,441,716,437,
845,274,587,511,017,221,755,326,011,858,976,698,013,092,931,031,291,678,385,
374,193,283,734,876,795,198,748,398,925,395,227,190,089,875,832,038,008,091,
536,286,649,873,363,584,128,755,284,389,144,143,465,233,219,469,886,905,680,
059,847,320,700,260,920,962,809,779,675,866,141,555,869,859,507,260,154,606,
952,344,032,232,575,388,382,931,848,206,373,838,701,248,079,440,746,657,139,
566,428,314,877,901,501,775,078,832,852,237,505,086,643,212,545,998,158,552,
016,627,336,461,800,511,563,832,912,651,478,296,975,182,491,887,002,901,366,
546,089,248,275,577,870,409,559,122,544,594,685,370,935,436,168,157,563,472,
305,709,043,875,505,169,766,291,027,399,435,126,793,980,651,732,020,490,650,
694,878,083,188,992,757,070,642,558,629,809,645,999,960,860,802,690,435,058,
602,161,742,500,905,954,788,097,651,474,575,575,167,817,587,202,682,161,436,
420,616,788,873,753,093,605,688,855,146,739,998,920,434,920,245,937,396,233,
819,518,242,408,860,575,616,870,488,776,792,070,282,076,578,605,223,657,082,
958,594,374,131,840,078,220,252,110,922,600,243,143,691,408,546,311,348,126,
376,061,685,616,493,854,134,928,105,364,721,084,244,738,800,980,025,782,505,
832,349,344,288,939,382,730,489,504,050,748,579,293,956,361,010,522,920,957,
268,421,673,196,641,494,884,934,918,831,684,521,988,557,730,787,191,996,297,
937,582,493,910,057,795,422,197,723,540,773,844,792,695,225,857,484,415,834,
391,786,244,218,094,311,993,292,469,730,979,348,772,074,164,676,865,618,184,
290,177,847,164,313,141,427,951,608,739,800,124,377,306,713,091,874,784,819,
070,986,221,842,853,459,227,060,948,096,579,882,112,136,184,678,683,507,039,
904,970,240,318,177,332,585,236,753,852,626,782,965,437,601,287,559,844,590,
397,558,977,225,029,326,588,226,035,116,158,242,437,780,401,219,638,070,777,
954,070,860,063,324,122,664,041,147,457,879,265,883,307,366,263,307,528,509,
688,882,929,079,551,469,415,759,467,892,241,241,958,354,268,515,088,162,079,
308,416,498,550,129,671,368,794,541,770,169,768,446,671,871,172,183,419,967,
956,784,576,895,489,652,916,060,754,958,843,299,917,212,686,327,872,569,200,
565,538,350,222,508,900,054,824,822,446,513,372,690,099,829,883,047,909,402,
412,683,448,464,738,217,063,807,419,060,062,601,165,659,455,580,653,702,637,
434,243,363,058,724,441,281,033,342,454,986,566,276,136,009,158,569,490,709,
982,094,025,934,467,492,464,482,513,558,699,733,153,108,290,463,009,826,102,
522,020,798,369,619,613,477,188,411,161,200,860,779,073,086,126,786,805,589,
747,112,942,987,191,353,524,646,830,920,891,610,469,963,656,288,873,381,591,
215,419,379,302,255,858,487,873,532,246,623,158,516,797,784,017,850,216,416,
078,763,227,325,379,568,904,835,528,387,556,303,868,236,349,013,704,269,237,
050,851,889,483,649,117,792,257,636,034,658,441,063,616,412,587,328,157,656,
360,041,136,301,042,335,407,561,814,243,043,821,414,072,516,380,404,696,305,
120,655,301,403,011,082,658,492,096,021,034,746,400,002,771,475,135,237,711,
749,969,291,941,398,827,002,839,447,692,432,525,001,760,836,905,552,162,402,
183,468,553,168,121,689,047,868,984,693,038,254,167,665,284,316,820,826,763,
434,846,387,411,180,672,706,465,783,890,826,830,366,917,543,161,734,606,383,
058,103,921,084,876,443,946,744,551,114,285,224,218,441,995,791,310,602,682,
321,005,915,582,370,910,408,950,431,576,153,530,836,889,933,875,890,052,373,
320,448,109,259,078,650,619,500,625,454,489,185,458,963,395,370,362,552,914,
175,568,318,197,144,227,823,575,591,207,334,960,295,978,180,480,004,542,274,
793,592,921,779,253,399,665,276,126,937,522,715,146,295,955,965,495,442,296,
055,620,071,283,136,505,764,727,029,842,111,539,265,462,578,763,185,194,553,
559,105,392,800,379,365,718,195,681,320,688,195,397,559,259,548,474,161,274,
317,986,133,838,533,283,260,374,714,110,658,880,727,483,839,603,759,782,915,
291,658,752,029,509,739,745,512,868,510,166,662,132,767,941,144,729,442,553,
975,141,552,424,136,363,231,486,543,082,726,847,235,333,317,368,096,017,491,
585,748,658,159,094,394,943,020,997,782,775,406,462,482,111,849,380,764,295,
940,646,312,382,487,089,579,254,375,752,596,371,431,818,561,634,371,562,040,
247,257,317,762,471,133,385,427,146,684,726,074,124,506,124,656,179,418,966,
051,240,199,410,635,622,671,189,048,872,740,493,428,185,326,500,340,308,982,
282,981,846,356,135,262,470,736,299,247,694,845,447,142,907,317,159,035,529,
768,353,746,237,125,432,935,559,825,830,727,759,702,524,329,637,964,094,175,
745,266,630,546,043,559,423,106,604,708,161,799,522,219,167,428,148,586,890,
084,187,650,995,893,936,532,284,112,483,925,873,075,978,233,756,923,194,340,
202,398,099,937,137,730,484,783,328,970,642,268,952,194,381,904,326,614,627,
790,128,154,775,762,986,359,618,385,720,296,438,997,723,419,882,052,190,745,
912,498,206,249,728,907,498,398,064,341,293,362,644,201,350,924,646,513,247,
085,891,630,530,814,459,242,709,461,911,353,102,373,721,535,559,440,974,193,
870,219,641,897,503,408,089,297,212,144,728,995,641,999,231,506,252,032,841,
541,021,461,368,296,277,375,082,612,163,404,584,349,840,926,803,944,680,486,
093,868,137,033,248,949,317,203,528,564,604,195,934,189,790,425,769,182,627,
649,211,422,848,904,502,188,534,589,228,736,146,012,063,177,859,697,865,739,
081,500,889,411,823,045,219,706,792,829,470,830,511,785,871,823,048,437,879,
514,990,832,275,582,847,577,104,313,766,624,977,975,480,006,957,974,395,524,
621,529,544,862,063,145,427,089,913,756,342,767,353,714,010,420,399,298,570,
415,337,165,234,366,360,532,386,166,508,247,848,032,577,601,046,367,278,708,
640,002,041,868,315,205,991,552,922,178,674,366,165,441,666,718,603,353,716,
968,164,186,707,341,441,374,171,463,574,770,736,618,099,512,020,874,437,749,
783,131,735,271,221,819,571,337,769,225,761,307,993,013,302,211,471,735,226,
483,420,624,486,966,236,802,373,041,151,649,624,935,845,076,821,237,389,131,
854,952,501,615,335,064,707,617,283,996,659,741,480,358,715,879,610,482,290,
935,178,693,725,533,872,034,712,564,264,870,459,201,975,361,210,006,219,871,
391,954,223,294,117,397,994,652,242,080,818,325,692,325,063,494,885,191,397,
489,144,886,388,477,119,756,217,224,863,949,795,081,942,338,402,064,291,869,
272,239,723,768,763,500,845,332,315,885,132,453,219,497,623,744,709,338,111,
623,894,081,292,212,417,801,802,715,617,101,101,581,759,275,931,430,586,715,
540,750,182,945,727,583,178,733,893,728,072,795,006,662,338,117,386,546,272,
220,906,516,236,136,199,004,186,375,599,396,411,533,398,353,223,403,571,303,
885,515,458,688,847,639,696,794,902,999,614,061,686,888,247,597,957,041,787,
410,020,498,177,712,928,549,178,764,349,904,796,581,762,766,561,894,139,803,
809,719,342,009,695,896,751,701,794,473,771,005,448,270,145,825,242,674,109,
240,332,910,212,984,446,003,183,282,493,914,106,027,614,304,375,747,419,693,
802,183,001,622,268,891,859,200,628,721,383,124,257,543,191,303,190,694,417,
272,983,324,727,775,545,399,022,466,008,227,079,251,765,461,807,492,061,598,
453,761,158,045,586,070,889,344,941,227,166,200,429,361,339,955,616,120,321,
152,599,114,124,700,337,500,192,086,220,595,339,316,358,173,587,769,408,866,
465,844,780,320,731,711,165,572,083,066,131,869,732,069,175,833,630,216,045,
321,663,374,853,588,571,868,673,397,434,535,277,424,036,895,350,144,973,246,
783,473,381,781,243,490,681,460,073,620,340,839,173,904,798,690,926,678,677,
668,627,076,600,686,832,598,807,761,904,393,360,908,581,085,119,559,614,480,
154,032,114,909,264,498,903,566,750,568,621,736,621,539,728,121,484,153,243,
728,351,705,160,871,654,557,995,731,869,824,375,415,516,218,611,969,483,570,
958,581,041,989,374,412,373,415,603,182,201,972,865,207,476,931,394,355,460,
614,743,571,061,020,046,724,162,572,187,781,108,470,267,775,429,288,966,746,
985,236,843,715,232,867,182,937,567,678,630,886,335,036,095,144,960,163,601,
846,840,603,572,208,113,166,475,486,872,334,550,761,606,560,767,810,827,612,
002,927,097,178,764,616,622,480,980,759,217,256,104,107,944,634,842,215,479,
862,363,097,636,257,533,310,068,511,703,283,898,783,639,115,504,931,023,899,
107,983,815,065,624,630,565,807,659,976,269,472,495,734,979,983,059,698,217,
138,950,459,813,841,040,881,975,623,472,611,251,429,827,119,864,001,260,049,
743,996,271,788,137,941,847,004,607,510,472,352,402,417,157,180,664,468,226,
172,651,792,077,520,288,724,704,007,845,520,453,330,221,807,018,097,887,240,
281,365,967,517,419,610,072,551,619,689,702,786,265,287,249,160,053,565,965,
054,490,865,628,105,784,454,481,395,540,570,423,601,747,147,387,850,787,166,
961,943,371,619,387,700,469,734,178,434,520,974,235,450,758,184,303,130,390,
748,287,871,372,470,331,916,782,662,253,194,462,188,013,494,624,714,925,344,
755,559,119,779,477,458,324,321,295,933,947,576,109,410,848,762,768,859,019,
750,089,195,207,662,031,103,608,085,978,196,801,022,213,146,380,215,132,153,
864,106,054,295,694,342,074,845,274,974,075,681,580,340,279,328,301,608,696,
414,094,411,876,682,348,927,811,960,916,911,334,023,800,720,271,913,235,581,
397,904,584,617,765,254,444,712,312,855,971,627,779,498,500,665,964,350,980,
170,672,819,239,200,185,309,689,184,354,408,713,170,292,079,288,729,090,251,
449,508,042,729,075,683,527,863,989,223,994,088,272,609,000,105,199,538,929,
807,649,899,713,586,321,675,367,046,561,374,948,217,215,855,954,916,254,910,
306,318,545,928,693,028,179,540,725,387,719,481,096,912,241,268,375,706,044,
079,855,241,503,334,902,283,767,230,112,075,715,087,286,905,791,194,043,541,
542,148,719,081,753,014,219,967,074,630,423,262,650,419,016,943,878,912,733,
647,341,441,559,478,609,535,074,999,698,719,091,762,003,002,699,417,549,319,
304,714,646,499,046,148,120,150,643,343,287,511,461,970,829,639,302,511,245,
811,221,502,220,608,961,305,311,473,985,513,254,124,095,396,148,301,770,524,
864,809,630,601,951,752,408,838,610,519,603,333,312,275,469,064,351,245,258,
931,487,903,649,351,694,765,003,238,572,413,351,541,763,696,643,497,651,461,
903,318,444,769,340,577,624,713,585,088,416,290,827,212,223,135,514,070,902,
037,035,841,611,542,875,146,042,397,392,897,255,361,754,206,295,412,015,693,
543,141,254,791,404,107,946,296,461,692,451,929,646,854,649,263,236,055,436,
235,825,644,725,665,034,968,187,110,286,662,058,404,798,729,724,685,394,077,
343,817,121,048,863,531,024,277,290,225,977,707,464,920,594,100,391,003,914,
828,365,874,575,151,741,033,952,807,019,256,076,433,602,974,572,467,818,300,
539,458,790,597,323,078,868,006,460,911,269,364,164,111,722,990,830,774,809,
851,764,610,315,838,312,128,239,608,969,565,189,040,996,176,351,520,338,851,
285,748,056,814,325,334,786,939,719,091,676,999,377,917,501,347,619,872,871,
032,210,468,322,121,107,675,092,891,236,730,125,355,474,863,406,093,970,325,
370,108,664,969,926,475,166,655,253,641,060,212,150,493,571,010,034,575,462,
686,599,514,282,702,245,438,438,166,055,784,646,765,522,371,431,900,919,476,
110,799,274,212,395,065,216,674,435,371,019,961,059,192,447,485,576,370,018,
781,747,464,785,856,772,541,827,482,238,187,808,061,678,070,557,739,197,742,
463,761,964,943,547,913,335,846,425,386,086,749,145,284,908,480,993,768,110,
711,135,528,392,610,803,841,518,072,029,495,195,130,099,953,277,162,402,047,
224,726,875,021,734,081,156,985,466,264,076,782,697,459,899,351,564,707,010,
302,400,329,512,554,846,544,321,756,077,552,958,486,862,174,987,776,068,708,
110,582,806,317,708,427,771,155,403,441,952,876,598,086,650,425,927,006,239,
088,202,470,071,212,560,889,029,170,426,969,984,999,367,667,366,548,001,621,
899,429,521,588,986,780,811,054,881,507,206,959,424,077,972,705,626,541,283,
553,801,234,422,122,518,602,509,147,451,197,797,733,956,896,315,192,844,911,
089,214,382,702,535,017,968,930,156,630,345,997,971,090,592,615,712,935,889,
158,101,288,972,537,500,848,325,566,979,387,367,065,442,243,987,384,844,948,
559,641,026,982,713,290,259,638,689,688,274,727,614,398,390,433,794,342,182,
002,904,596,573,508,235,063,072,886,012,265,687,837,365,430,786,793,413,668,
495,901,775,319,079,811,436,753,948,812,886,146,212,275,744,560,186,985,423,
956,866,636,407,389,798,856,421,768,774,570,981,322,059,236,391,081,390,568,
393,507,425,478,498,078,380,999,698,134,330,422,444,940,013,401,623,917,703,
519,531,177,233,610,473,000,735,555,667,071,617,546,270,528,039,256,019,257,
572,951,734,363,412,358,060,311,384,032,114,045,529,251,452,690,324,547,132,
410,611,154,165,889,804,738,180,495,514,457,534,155,116,764,743,310,727,828,
418,303,787,866,382,383,305,492,846,935,037,127,955,754,310,185,435,529,863,
457,993,739,457,327,237,258,353,771,073,248,992,728,266,990,138,444,226,411,
316,189,307,172,811,832,537,882,805,113,830,754,403,142,883,206,400,246,399,
930,173,738,161,267,134,944,224,289,156,592,857,800,651,048,075,781,920,509,
838,158,507,838,166,992,948,360,656,519,848,768,537,006,510,018,861,590,723,
450,133,319,824,401,906,522,289,654,307,123,546,649,587,220,150,541,293,062,
088,106,600,847,210,216,121,299,787,216,108,853,836,959,844,141,504,927,466,
877,281,753,827,251,940,515,366,856,612,749,805,383,590,236,890,347,676,355,
403,883,177,054,363,440,216,350,122,355,130,415,858,985,374,194,064,685,116,
234,299,263,995,303,231,798,749,515,105,555,582,691,200,236,946,918,578,539,
778,965,771,191,110,584,431,953,407,813,790,093,926,913,015,560,593,696,981,
619,689,751,706,718,266,675,638,285,041,018,609,487,294,253,092,993,834,088,
754,794,088,202,898,562,667,360,916,422,689,380,906,198,858,863,215,459,193,
846,950,596,146,317,756,749,794,988,602,631,673,699,334,244,278,044,340,475,
441,049,781,361,160,382,144,194,466,440,311,858,892,719,414,029,185,149,240,
821,037,019,376,785,289,173,004,617,172,427,648,702,935,245,478,782,903,438,
552,916,358,353,185,524,935,774,974,455,180,243,562,027,598,197,517,381,887,
732,535,208,230,925,384,544,914,135,232,477,669,820,005,280,964,551,841,675,
717,502,278,751,849,322,470,344,268,797,698,932,181,134,984,201,601,927,947,
929,518,540,984,551,410,898,180,885,119,655,608,859,929,512,705,941,782,916,
817,529,780,792,505,599,188,182,326,556,157,817,606,736,152,812,761,517,976,
992,066,086,218,610,024,100,561,682,510,986,743,099,309,227,787,705,608,258,
137,642,785,547,869,886,973,747,911,017,625,711,564,571,328,906,650,330,973,
385,177,054,102,432,034,350,852,222,635,319,419,173,400,082,068,209,432,422,
149,178,794,370,889,247,482,714,792,229,877,774,998,736,365,944,487,969,792,
037,448,656,087,772,670,505,840,907,560,340,402,664,934,604,865,295,757,886,
689,451,861,348,990,065,104,737,423,022,885,699,147,324,927,825,841,690,450,
030,609,286,649,875,331,826,269,329,053,114,258,402,567,767,618,619,462,656,
767,589,904,805,617,005,887,354,689,470,885,063,119,704,396,136,238,990,382,
451,594,237,835,930,270,682,222,786,526,852,752,126,671,584,888,370,806,389,
850,018,449,712,458,804,001,105,615,931,745,581,831,520,540,897,425,106,636,
244,938,915,891,976,651,611,391,136,173,259,034,611,818,293,562,536,962,549,
015,749,248,747,956,165,195,568,677,635,267,064,646,079,276,054,870,900,920,
117,846,432,093,892,640,124,800,580,474,992,337,374,400,736,250,025,335,002,
459,511,177,772,247,255,666,799,184,971,053,112,214,514,594,322,280,929,625,
052,416,183,058,457,050,401,414,456,744,504,700,597,124,676,405,774,780,382,
867,496,448,387,451,390,945,323,524,361,299,629,961,974,183,841,010,906,566,
656,898,533,815,172,891,837,083,372,831,380,642,255,628,184,203,984,136,196,
535,456,044,706,468,262,638,770,108,533,553,087,078,538,096,795,534,249,536,
197,738,919,211,130,353,144,941,371,532,332,039,863,645,010,571,357,785,657,
917,825,206,774,449,302,492,164,986,917,410,762,170,629,740,590,825,794,586,
585,877,862,209,726,948,604,638,283,885,002,095,967,987,323,772,618,136,954,
947,236,739,593,307,847,612,008,381,320,714,762,948,903,637,471,122,859,344,
379,515,008,772,430,828,392,232,769,853,014,275,358,473,023,715,821,679,228,
375,771,485,855,112,924,426,273,056,276,184,049,971,494,254,565,937,737,093,
284,862,762,291,590,738,243,473,828,346,876,979,992,287,601,710,576,150,427,
460,189,878,250,496,777,351,922,025,502,638,646,773,215,576,758,845,929,740,
522,759,050,530,141,649,583,752,433,787,172,716,946,763,012,653,584,177,356,
458,954,987,600,327,767,654,977,712,460,406,097,608,573,643,191,904,995,228,
886,713,345,090,337,743,686,996,584,547,840,622,366,791,427,428,243,434,398,
162,339,593,036,033,073,932,723,506,543,602,632,456,441,004,620,132,082,431,
652,192,629,905,471,060,638,130,974,378,958,641,757,337,914,920,115,783,921,
763,114,652,778,060,835,306,110,869,409,830,996,916,053,210,022,589,623,383,
599,334,507,250,148,883,606,266,711,329,566,183,880,220,588,533,147,266,205,
292,769,050,114,892,371,161,300,794,784,345,011,570,254,164,431,905,530,501,
174,017,344,337,154,931,310,415,738,317,276,684,905,985,068,427,193,847,471,
739,381,720,858,163,616,143,771,922,213,044,375,904,918,148,256,936,523,304,
756,228,223,804,544,199,165,338,375,163,023,200,250,732,736,521,780,521,661,
376,538,397,250,791,678,354,762,662,479,526,884,483,460,844,461,712,643,737,
053,554,740,763,134,324,435,308,886,775,574,323,367,220,492,343,975,155,600,
401,381,166,183,729,149,989,623,480,391,720,111,203,511,652,908,066,403,261,
891,008,865,577,528,235,124,020,700,070,811,381,231,880,954,918,526,402,541,
463,090,040,993,178,571,035,012,206,853,410,378,867,170,208,620,697,452,864,
983,887,152,021,665,498,758,986,280,615,975,843,764,173,045,634,053,490,891,
490,187,044,455,607,611,963,181,990,422,978,937,271,770,629,858,611,628,841,
293,318,061,502,966,697,835,152,150,805,263,508,729,216,109,221,804,641,146,
095,527,589,009,898,723,119,670,468,594,523,087,317,704,514,731,919,079,640,
139,443,113,121,484,138,775,460,883,570,515,551,933,538,539,771,046,699,721,
298,031,594,272,070,868,492,158,199,078,432,788,292,984,344,588,097,097,461,
767,567,422,310,071,499,607,481,317,243,357,285,170,647,898,404,159,572,227,
814,118,878,492,540,560,196,256,195,276,972,590,494,819,165,589,538,652,850,
609,881,682,529,489,785,841,170,655,018,484,387,687,145,607,067,863,317,332,
067,595,363,818,254,539,524,384,374,443,251,724,732,513,211,642,335,727,212,
530,271,779,304,816,427,713,532,389,669,531,399,565,235,367,687,540,944,028,
382,102,435,153,807,677,717,038,694,688,179,916,448,451,668,617,428,725,036,
218,833,924,602,328,384,433,600,326,719,938,106,286,318,600,129,472,099,429,
677,635,125,574,830,325,431,657,407,783,550,664,384,118,381,104,394,466,849,
669,948,275,986,355,912,741,738,367,227,035,063,416,096,510,620,902,524,446,
417,195,337,657,713,408,962,365,364,717,471,568,617,913,257,448,242,685,117,
596,146,585,698,741,375,033,968,919,168,777,036,610,503,701,198,119,646,418,
963,897,514,736,094,054,584,290,787,061,688,616,724,078,783,284,030,268,233,
336,804,536,154,345,773,885,635,988,347,374,760,494,098,710,339,625,129,704,
006,755,447,786,101,969,894,919,560,178,665,363,349,069,881,688,969,963,511,
830,050,036,608,388,989,511,546,086,997,025,677,629,919,852,860,730,563,673,
622,714,221,085,404,662,961,235,074,732,431,272,759,373,607,978,338,182,467,
670,036,578,117,909,976,580,781,798,583,980,559,874,961,683,457,981,310,312,
447,805,660,814,414,977,422,806,956,036,922,103,739,810,298,032,963,082,253,
786,131,607,187,647,306,482,009,913,698,634,080,357,482,018,591,700,271,627,
593,775,238,624,156,913,257,188,477,717,451,216,355,938,690,587,341,742,733,
939,954,131,135,187,406,341,771,661,633,523,526,367,992,628,380,486,909,141,
164,544,349,498,646,066,320,948,789,243,354,215,285,205,508,780,497,292,284,
793,472,844,156,986,534,977,197,803,059,546,331,449,847,092,896,685,480,888,
894,329,305,272,030,090,136,910,923,689,608,418,125,998,905,775,395,681,520,
387,113,169,267,950,122,322,109,253,725,226,928,861,518,890,162,036,591,401,
004,943,582,057,339,233,875,805,129,740,941,192,873,539,577,545,214,200,226,
201,713,936,007,454,176,339,214,582,338,107,577,920,785,966,748,788,718,007,
928,017,422,033,229,913,474,486,542,139,749,671,951,061,869,275,058,147,931,
141,518,378,801,731,983,139,923,923,962,077,806,693,954,841,815,574,379,277,
066,909,094,842,626,923,205,675,376,346,054,007,117,134,414,766,649,804,391,
776,477,955,018,990,169,433,249,712,429,085,787,813,657,835,598,312,554,762,
813,556,393,229,881,850,029,442,145,161,110,269,578,273,994,728,304,673,223,
021,564,849,851,432,355,416,502,788,855,258,236,002,025,968,581,934,336,287,
024,317,886,339,557,550,408,360,877,921,740,321,578,654,137,273,586,785,385,
985,823,170,043,100,217,885,985,637,561,340,122,908,008,849,139,608,699,860,
019,943,970,367,523,856,063,767,997,116,249,961,929,588,061,204,821,930,188,
058,703,644,247,428,726,395,816,966,910,988,989,015,613,922,055,705,940,329,
837,451,939,809,421,497,678,357,989,347,115,576,676,816,439,536,743,281,736,
029,693,994,218,281,596,879,722,630,809,329,516,161,256,575,262,936,682,588,
152,438,945,043,231,292,741,504,482,951,483,754,182,902,165,153,442,284,534,
362,912,880,519,300,892,624,589,502,686,419,392,430,917,839,728,675,989,126,
107,156,262,492,316,051,894,379,891,939,109,376,099,703,663,180,795,923,218,
906,062,490,967,124,107,376,235,576,907,882,510,814,570,416,093,363,768,279,
718,176,622,834,856,178,141,228,154,133,080,286,947,555,263,621,862,037,846,
968,027,645,120,007,927,131,792,826,279,729,101,692,578,674,876,974,743,271,
268,537,358,128,452,450,548,364,329,101,597,257,153,026,575,835,594,743,212,
710,565,582,600,208,872,336,278,680,266,421,625,256,503,002,670,255,049,049,
804,108,704,372,611,133,328,356,402,853,763,092,483,895,799,812,975,196,332,
360,944,869,164,888,025,341,821,862,043,850,518,209,819,877,827,243,395,070,
447,806,433,478,756,447,775,785,035,444,246,445,386,746,033,427,220,781,848,
849,110,917,165,396,132,433,539,171,451,465,561,057,402,622,168,924,262,662,
727,725,739,031,190,405,084,022,989,442,996,901,592,257,870,886,160,829,069,
617,889,341,911,363,513,605,578,906,266,541,045,063,406,504,823,974,188,158,
598,329,495,332,800,860,122,706,867,376,593,727,567,752,202,335,675,034,812,
204,804,601,579,981,795,361,281,841,758,214,783,932,203,251,712,373,465,291,
295,972,791,971,896,746,698,924,573,425,773,981,529,624,093,605,009,841,006,
454,296,430,638,204,335,574,729,845,681,145,272,040,204,358,023,501,005,698,
297,532,329,437,365,496,956,034,870,301,047,325,891,808,140,618,253,426,034,
143,010,534,304,084,410,855,322,644,063,136,698,382,325,381,879,149,854,156,
360,939,141,870,327,177,196,492,799,100,037,396,210,420,917,912,353,106,244,
606,234,354,618,317,537,873,806,409,569,319,313,588,278,600,521,826,915,011,
454,262,004,818,021,602,672,284,867,781,256,797,789,457,804,011,246,792,782,
771,868,251,619,021,496,324,469,833,416,072,997,209,785,298,895,518,159,416,
117,265,102,581,212,696,091,649,844,307,993,184,144,581,868,766,486,818,088,
032,098,705,995,204,642,734,282,288,964,716,537,605,290,032,070,092,528,619,
788,563,342,628,230,490,539,686,680,965,440,324,499,752,934,588,982,518,792,
355,314,917,798,728,196,215,102,995,517,596,477,792,252,957,791,862,977,908,
584,698,385,449,273,641,063,946,062,870,723,153,752,239,329,616,967,009,938,
032,600,275,890,094,339,313,855,894,008,433,380,736,817,105,792,751,908,113,
845,565,621,844,370,991,687,723,183,416,749,476,116,030,104,341,704,031,702,
904,560,900,475,473,524,898,607,886,689,133,144,304,599,015,720,589,668,461,
561,399,751,070,622,680,759,918,342,422,270,043,489,418,966,601,431,615,112,
338,854,593,451,309,553,056,897,291,843,830,511,861,695,911,637,108,107,167,
359,323,999,844,096,911,595,241,839,065,702,993,744,280,626,994,977,577,206,
464,798,886,903,095,228,120,055,430,802,779,744,804,061,558,054,692,361,064,
407,287,643,136,485,328,259,176,712,199,529,427,203,752,345,679,340,444,107,
719,351,180,255,803,519,825,298,719,471,822,134,709,212,776,325,963,627,142,
158,920,136,252,789,718,474,687,578,005,290,796,874,597,422,898,201,438,826,
251,732,035,850,101,573,717,527,062,172,829,520,870,111,437,651,180,509,912,
688,667,574,196,070,181,473,429,792,839,993,869,642,610,191,926,891,233,577,
721,856,281,497,236,330,364,866,376,974,999,271,858,468,524,613,105,416,985,
874,715,158,914,562,483,347,569,250,536,157,522,078,556,989,976,978,374,302,
429,326,148,816,754,197,783,628,443,303,190,787,977,163,601,535,406,833,774,
367,847,288,281,214,504,194,890,610,238,377,705,048,257,875,239,465,623,844,
622,569,893,340,458,257,302,413,772,316,585,832,954,119,418,216,209,250,228,
568,168,106,581,982,700,866,661,788,030,018,985,714,311,783,145,958,173,903,
454,163,573,159,709,335,681,417,520,365,671,428,495,331,558,384,056,060,968,
001,472,351,785,371,296,268,185,354,403,298,500,351,757,741,823,983,482,147,
422,468,063,214,388,284,009,308,590,523,197,246,406,454,409,313,912,749,951,
527,518,138,170,415,269,275,917,493,295,824,237,877,392,163,960,818,644,975,
901,012,139,766,669,297,805,318,551,532,903,562,492,945,326,433,519,564,026,
441,689,461,803,852,004,745,569,958,771,024,335,677,215,306,884,384,387,833,
257,865,963,236,996,971,545,320,988,959,366,282,425,302,585,296,323,963,066,
157,548,613,976,689,506,573,565,045,020,215,204,177,872,670,986,300,242,266,
573,045,541,814,334,865,008,232,110,512,192,428,934,211,132,031,521,787,899,
499,159,336,861,545,261,462,044,977,354,574,677,335,367,820,083,054,198,699,
845,389,694,657,674,679,399,539,245,870,326,300,681,227,615,208,757,586,337,
760,249,681,848,794,936,232,779,885,407,086,209,559,325,132,279,333,051,504,
805,347,796,011,734,898,933,291,000,557,307,235,075,421,208,972,050,314,635,
122,268,280,850,667,431,441,730,583,614,475,804,902,973,251,698,017,576,925,
283,048,873,425,866,134,044,812,728,208,367,867,530,942,810,996,488,121,309,
298,824,386,893,793,423,582,805,480,673,412,552,698,587,055,534,895,409,555,
562,148,433,242,792,525,172,000,854,545,087,356,041,739,187,026,542,373,192,
336,209,065,893,553,751,154,053,644,644,983,107,213,791,356,360,838,275,237,
209,764,244,818,076,595,270,253,120,044,909,531,728,269,875,051,293,090,016,
194,153,518,031,357,618,682,446,354,634,595,995,584,219,009,611,421,711,082,
490,717,957,457,771,733,099,790,804,391,228,888,564,669,338,167,318,966,983,
143,741,966,524,960,224,464,284,161,359,749,503,744,163,150,103,563,929,482,
196,311,744,708,737,709,197,083,342,426,532,552,508,314,124,506,120,590,134,
862,113,776,231,960,961,850,993,092,002,463,671,845,961,952,086,473,419,826,
886,358,909,203,837,982,556,306,698,721,509,968,023,197,599,621,359,691,231,
946,473,182,759,851,775,671,690,438,489,632,475,899,393,686,481,945,773,722,
038,157,384,249,890,827,115,758,730,579,317,444,126,898,481,299,202,199,342,
418,936,245,517,575,857,245,525,537,857,934,678,398,219,066,312,391,902,082,
199,630,073,479,267,969,039,928,467,562,607,342,483,687,034,805,102,456,328,
862,882,078,167,101,051,338,215,703,307,097,946,529,402,802,417,947,415,568,
503,669,801,633,266,522,319,312,012,835,128,729,287,268,084,357,865,785,380,
676,084,791,294,765,737,049,672,710,959,554,593,354,754,997,706,508,145,489,
263,131,533,703,567,279,667,425,126,968,559,366,268,907,742,519,752,369,079,
516,215,437,030,457,900,729,721,170,505,113,724,854,115,690,260,032,829,828,
677,957,018,456,820,978,686,193,401,782,811,492,286,743,548,506,966,590,451,
289,518,210,495,342,470,693,036,402,458,467,588,111,205,027,767,705,014,394,
987,322,202,997,630,149,598,977,402,639,532,400,360,400,458,578,954,932,466,
273,616,246,129,489,538,565,097,372,586,809,014,956,684,026,841,636,712,601,
456,148,383,267,836,271,919,923,771,296,881,520,165,530,064,266,547,565,374,
313,066,924,586,970,499,991,804,954,479,118,997,819,378,693,918,489,122,809,
191,927,154,226,269,457,662,458,512,907,264,425,761,256,239,840,990,098,144,
302,410,128,079,135,400,045,194,465,766,937,620,011,561,906,801,025,859,019,
766,842,679,920,744,169,999,528,999,716,134,665,785,390,400,592,987,753,161,
289,491,311,237,828,755,030,616,203,451,169,242,628,945,211,024,682,023,602,
684,747,601,994,314,215,049,502,557,896,691,810,257,792,036,634,275,409,222,
601,871,659,247,444,599,982,851,170,308,863,844,623,208,019,522,719,973,089,
054,432,897,768,472,025,608,829,602,839,497,003,803,724,061,532,708,835,666,
755,583,931,215,778,230,269,088,257,035,163,559,892,544,434,148,428,756,754,
009,978,696,435,843,720,003,812,150,505,859,812,913,470,607,458,376,619,091,
534,775,076,049,532,574,468,809,749,641,304,595,995,648,391,102,032,108,772,
475,424,742,215,175,810,472,464,475,901,314,161,784,815,882,616,394,137,319,
429,573,435,000,077,563,908,297,872,564,195,615,700,825,152,990,435,753,775,
765,278,348,474,916,500,858,647,838,432,967,924,771,611,317,062,270,846,299,
345,781,284,374,446,091,262,736,569,472,496,322,622,452,392,210,069,275,431,
955,156,520,918,409,710,731,981,840,629,872,550,566,035,287,943,033,949,582,
404,417,876,593,519,329,919,737,284,770,164,805,863,851,162,460,520,648,134,
665,508,330,430,580,104,122,024,846,629,146,341,734,987,052,044,760,878,979,
956,839,969,967,089,036,790,603,689,306,961,666,066,487,005,830,366,880,347,
345,123,498,189,086,925,973,449,764,560,300,745,211,181,716,019,172,190,228,
386,833,884,139,408,578,377,081,859,706,324,196,673,440,252,269,509,203,796,
102,277,384,282,757,755,685,268,984,732,147,991,722,539,118,256,622,938,770,
508,205,328,456,702,751,609,636,302,895,921,744,573,673,583,034,866,793,123,
468,251,590,956,432,868,815,689,184,253,723,913,302,778,843,636,243,314,581,
467,110,188,997,854,793,164,255,818,825,987,717,718,231,114,586,333,641,260,
548,199,156,060,578,214,817,259,670,879,119,882,899,000,416,258,762,088,845,
109,342,451,858,940,097,421,880,161,158,388,956,665,305,889,533,924,613,276,
377,548,157,164,370,314,846,425,386,911,408,565,601,823,541,748,697,172,418,
999,297,725,187,709,562,539,694,540,234,445,798,310,676,276,676,458,936,189,
852,469,387,626,392,922,714,445,266,678,863,024,345,065,622,067,193,933,393,
694,941,768,592,809,716,111,721,660,378,520,700,349,328,688,965,633,868,468,
320,053,962,670,967,862,158,286,973,016,063,768,177,288,484,421,342,894,455,
439,684,661,229,983,625,680,767,344,135,733,403,496,128,034,292,939,002,723,
931,158,098,039,688,800,159,500,068,476,569,115,554,308,287,243,875,354,640,
658,504,843,920,915,786,554,001,541,244,237,741,408,301,608,448,622,118,184,
148,747,162,222,644,475,464,742,859,898,602,395,064,008,149,094,393,642,949,
306,798,069,844,208,427,572,325,944,153,244,862,342,299,781,363,781,728,297,
503,087,263,243,971,508,022,355,237,470,322,997,220,211,341,197,360,177,398,
076,153,079,283,006,114,611,679,124,460,616,054,635,567,398,958,493,168,387,
765,219,062,266,970,361,944,858,600,071,161,492,071,233,531,768,023,589,948,
952,893,630,048,545,292,112,673,790,936,700,642,014,573,243,220,288,699,202,
037,038,717,598,444,194,474,980,062,392,269,620,105,185,020,321,803,650,125,
305,824,011,733,353,231,162,511,196,945,224,056,343,754,366,533,146,318,785,
358,693,142,102,838,523,792,517,366,201,069,838,172,215,181,520,453,393,165,
148,803,496,404,617,997,500,405,643,647,608,860,109,572,769,058,415,828,651,
588,708,577,245,511,975,407,173,346,185,350,572,758,371,321,631,916,811,756,
137,381,071,067,691,139,394,743,407,534,734,286,869,646,958,300,862,780,570,
373,855,194,678,818,280,652,696,800,450,701,165,225,646,491,454,158,839,216,
779,805,179,681,742,871,870,246,618,248,874,453,589,761,774,845,363,180,217,
286,096,916,184,653,939,860,744,960,778,189,227,198,133,837,542,324,655,599,
268,763,727,415,121,209,280,414,299,838,438,676,542,086,146,202,725,075,010,
241,956,327,547,822,287,513,775,805,500,364,732,124,400,076,062,495,406,489,
179,440,441,460,108,528,726,204,600,466,052,225,857,475,387,349,448,732,243,
505,504,543,532,861,861,845,901,158,021,442,664,532,343,780,333,871,660,837,
973,078,382,117,172,378,942,804,444,522,941,590,920,458,487,507,973,867,075,
708,653,094,836,447,011,193,333,499,895,294,685,320,756,695,705,223,918,993,
807,602,483,606,874,597,514,667,251,543,344,293,192,348,831,105,087,335,802,
039,827,877,115,023,355,843,905,985,259,468,638,904,470,854,617,327,206,616,
221,603,835,716,928,044,596,811,440,384,601,656,785,985,382,729,591,604,028,
740,201,014,376,548,118,932,340,757,835,759,410,782,160,340,486,117,340,498,
685,976,980,361,267,311,343,499,234,607,893,476,484,999,772,742,702,146,471,
865,745,684,239,910,513,925,137,953,760,730,360,501,245,590,920,259,770,393,
323,680,784,363,145,284,986,840,308,123,280,838,218,094,895,092,101,478,738,
487,114,534,880,787,819,627,588,874,770,841,832,495,044,707,233,811,414,494,
869,129,624,188,601,904,286,191,512,004,060,023,591,846,803,310,827,445,815,
498,602,925,258,747,528,354,200,730,215,073,714,228,304,426,321,646,355,320,
735,465,353,901,719,387,796,814,069,128,811,481,658,389,763,457,081,364,438,
331,512,959,484,790,824,421,747,380,968,104,505,769,223,660,834,604,167,982,
062,195,518,427,465,685,460,880,015,420,896,194,554,880,437,952,196,313,362,
308,697,233,914,040,983,828,908,577,578,266,049,923,415,439,483,893,993,687,
704,385,243,476,121,761,664,159,438,154,614,082,413,129,803,991,176,385,805,
107,212,613,647,715,939,117,175,943,115,499,851,380,631,393,347,473,670,256,
837,152,776,884,150,862,224,294,270,659,905,068,949,217,460,146,885,143,157,
391,588,528,849,570,021,964,871,660,678,609,838,649,770,324,823,063,798,129,
835,108,362,890,063,446,884,987,935,330,974,603,375,389,406,440,951,120,824,
488,166,331,473,414,627,450,696,012,609,295,217,720,329,227,210,594,135,737,
767,153,869,392,834,116,214,226,597,027,138,085,187,948,614,251,794,175,731,
823,507,509,592,809,395,175,729,292,996,188,384,743,820,963,460,015,041,550,
863,389,393,309,647,832,082,806,916,118,765,988,632,120,831,891,860,362,960,
274,214,499,089,303,105,674,971,430,483,126,885,671,264,450,463,209,057,645,
773,684,744,935,271,795,094,983,110,000,824,933,555,917,477,327,426,854,635,
803,885,064,161,852,408,046,257,099,470,459,939,066,728,264,987,189,405,831,
493,533,208,551,927,435,993,866,120,090,964,952,006,923,317,893,441,220,963,
061,596,996,198,894,646,799,453,691,313,989,230,223,492,296,318,828,354,721,
798,722,053,802,427,891,505,169,657,416,002,023,354,120,605,457,204,297,148,
084,809,057,440,278,515,636,013,120,527,185,902,909,528,746,606,241,504,060,
036,431,336,201,814,139,829,059,161,880,665,079,180,275,611,997,692,560,502,
524,847,732,415,436,801,318,357,763,562,477,643,304,359,895,958,788,777,782,
807,369,237,571,585,396,423,868,235,888,355,456,828,906,488,460,535,442,997,
334,400,368,611,835,381,148,303,108,053,712,956,581,806,686,999,901,288,336,
340,087,540,858,610,086,531,497,229,548,935,076,130,689,730,382,272,600,133,
712,149,938,878,088,169,854,682,109,304,984,476,628,760,250,842,326,355,866,
373,619,361,909,319,672,576,365,510,983,667,972,805,133,726,500,810,588,307,
368,084,689,990,804,530,167,186,173,227,918,999,571,508,838,512,414,754,564,
562,292,848,248,169,382,507,408,991,338,388,957,529,510,425,194,597,385,854,
667,001,506,567,995,023,123,485,573,781,139,415,303,966,523,555,676,943,577,
607,483,953,897,470,682,123,894,560,170,465,937,500,654,190,460,294,613,512,
772,065,233,690,211,351,023,094,715,632,882,449,027,872,831,736,264,844,382,
224,983,558,851,071,599,735,682,733,528,967,969,724,645,359,479,568,106,974,
899,682,382,611,269,360,375,153,958,819,654,580,947,338,261,173,220,061,024,
055,756,656,968,128,928,520,596,341,474,678,900,835,834,140,899,840,575,879,
181,174,720,670,351,403,920,361,137,038,184,597,032,317,206,913,400,623,408,
217,208,457,806,461,169,748,677,092,578,516,946,336,602,771,844,156,002,358,
983,391,584,543,239,436,383,555,184,665,497,605,888,834,645,119,229,667,724,
579,509,809,598,208,859,900,861,224,191,040,396,587,910,581,238,429,832,211,
981,821,688,898,038,196,156,342,921,972,756,900,602,720,948,634,325,267,951,
726,981,289,142,838,712,605,171,342,210,455,797,277,527,561,617,198,196,509,
914,913,253,256,751,840,012,218,217,174,240,393,661,826,713,296,143,243,678,
251,096,840,133,682,381,533,750,691,219,184,509,744,615,370,485,906,258,747,
486,742,035,695,878,743,396,880,761,020,671,429,309,103,796,092,331,080,737,
713,311,623,767,017,519,844,707,846,726,803,147,474,459,098,902,011,919,027,
454,127,036,861,837,180,402,427,985,824,769,493,920,962,185,296,985,938,817,
029,839,787,102,129,919,464,945,520,756,231,685,069,167,314,517,698,359,322,
844,139,107,053,004,820,332,237,661,307,278,249,754,359,693,218,926,782,143,
431,472,087,990,126,816,835,888,134,177,646,151,305,366,562,185,247,494,306,
023,501,987,587,961,044,946,258,539,933,960,063,599,100,792,768,831,868,075,
462,267,424,488,110,599,135,132,157,197,786,731,056,510,327,120,647,854,078,
006,123,265,858,932,960,126,951,074,128,185,080,039,749,698,579,700,438,908,
434,641,581,431,914,017,703,919,552,561,584,466,555,488,731,031,870,728,084,
149,708,532,455,120,361,847,913,377,815,490,430,738,392,006,377,117,078,422,
504,113,685,420,772,121,395,759,755,895,538,141,321,857,596,203,741,785,712,
085,435,336,868,302,688,539,673,562,697,586,234,810,107,159,222,586,114,788,
901,775,770,124,687,562,258,479,266,918,554,863,078,149,690,837,312,594,385,
731,073,064,325,251,759,091,166,085,153,134,022,297,763,278,253,652,661,477,
748,146,487,728,680,244,180,524,354,196,121,427,953,442,536,707,331,396,136,
204,959,418,407,669,868,746,019,159,226,236,349,309,879,730,681,623,875,239,
117,060,072,559,949,654,027,639,648,452,302,504,079,485,559,689,285,240,115,
833,046,925,462,845,474,309,662,916,743,644,293,865,046,658,383,131,844,583,
163,305,040,813,877,543,699,515,550,945,416,587,507,279,554,051,339,569,386,
122,935,554,751,416,465,766,782,347,714,402,120,867,809,107,815,626,255,168,
475,329,901,726,420,087,225,423,820,198,579,801,331,564,475,974,923,743,455,
420,553,729,257,937,923,656,557,247,918,433,884,038,519,261,017,032,268,955,
015,157,599,975,574,798,931,783,917,462,401,730,750,485,612,501,400,224,211,
874,587,067,556,471,530,582,642,411,870,356,346,997,160,458,108,416,488,847,
870,744,602,543,667,441,471,159,066,789,601,079,800,347,802,973,978,604,944,
450,892,445,022,822,465,047,442,324,542,195,384,729,074,697,974,579,116,404,
845,537,139,835,741,693,095,327,247,808,284,258,806,992,740,604,230,730,014,
660,288,692,920,191,215,179,041,785,445,382,900,584,261,071,647,221,387,381,
528,850,696,704,101,223,924,201,920,021,271,626,102,700,593,768,923,156,102,
907,135,819,265,114,286,783,626,617,515,021,008,724,804,753,980,792,525,119,
611,106,214,609,463,861,494,296,729,516,768,313,321,629,715,528,072,298,819,
103,822,109,480,921,746,396,131,718,517,598,371,442,827,365,062,058,504,727,
708,725,881,987,337,819,259,810,577,218,460,986,116,693,707,945,314,215,547,
893,402,350,056,709,668,786,570,423,409,940,260,332,086,907,258,716,321,487,
775,507,883,538,116,364,581,905,918,150,739,462,931,892,765,564,063,060,980,
453,309,431,897,989,221,677,340,630,436,766,572,011,553,220,085,643,360,019,
613,240,259,940,507,557,558,244,802,783,707,480,304,432,476,714,723,486,791,
950,646,270,874,907,597,583,445,577,521,215,343,858,024,069,259,625,009,295,
005,393,309,383,541,650,399,970,147,372,038,661,546,290,235,347,059,313,141,
570,777,077,570,026,885,827,134,522,478,506,852,268,143,657,485,875,855,562,
334,568,875,761,434,188,897,268,656,250,368,688,315,638,807,229,996,048,500,
391,657,074,736,292,723,946,781,655,650,740,206,518,415,844,325,138,294,434,
147,911,228,081,122,131,734,738,082,512,667,606,337,860,802,670,355,429,408,
378,267,042,317,982,936,388,974,630,778,045,242,962,236,266,344,646,320,988,
526,282,214,880,621,499,452,107,001,714,662,181,982,153,141,912,418,282,440,
293,651,877,490,291,732,843,000,957,508,366,053,881,038,323,928,326,140,485,
345,101,641,686,114,127,682,233,950,353,488,174,687,384,407,962,468,086,870,
192,149,960,654,454,083,961,378,071,458,713,476,705,921,862,375,148,659,472,
661,202,849,987,646,844,420,358,233,686,637,253,240,102,608,661,562,441,047,
044,416,175,886,696,547,292,695,410,306,407,952,016,457,826,470,046,768,147,
676,111,500,690,848,032,713,932,166,043,081,479,743,125,766,769,403,828,652,
910,574,536,185,973,746,260,728,651,991,428,777,819,875,848,458,133,216,122,
987,573,720,435,190,892,125,955,676,105,044,996,511,038,682,985,798,278,758,
478,071,561,751,155,841,429,000,360,233,617,804,184,272,684,213,142,092,337,
904,005,450,684,524,489,887,258,345,119,376,698,101,549,380,249,187,108,564,
477,051,134,774,686,585,266,946,446,201,847,112,270,142,194,565,623,288,437,
158,738,932,578,243,793,207,494,396,311,060,598,926,741,653,226,362,646,849,
783,266,025,812,024,446,085,344,702,100,259,472,591,464,491,704,489,898,856,
948,585,749,591,371,212,356,267,059,176,034,544,961,168,868,836,858,183,522,
003,225,871,683,943,461,145,302,693,325,741,403,794,569,857,514,860,170,455,
496,659,710,942,747,002,538,785,680,068,957,460,254,860,336,210,916,669,695,
011,644,186,208,394,679,569,453,053,951,511,171,026,302,876,574,968,578,712,
814,770,130,228,917,695,615,658,521,932,309,328,848,593,435,956,878,651,084,
250,886,869,847,258,807,756,512,729,541,203,782,599,092,474,597,716,778,086,
106,863,930,154,018,025,636,735,018,196,671,995,711,266,445,639,772,233,765,
160,988,054,748,378,053,495,545,219,509,240,091,497,021,941,586,459,958,420,
066,834,404,087,849,928,209,987,643,751,517,345,716,373,361,238,060,599,855,
549,201,608,950,913,777,181,248,687,541,596,340,203,678,750,961,249,391,601,
800,550,909,102,091,176,575,866,602,868,269,777,238,883,640,112,876,372,691,
114,583,230,743,140,775,464,583,057,397,114,568,651,637,570,659,046,844,116,
118,358,830,972,722,268,284,001,631,809,934,821,201,224,567,681,346,246,894,
286,749,326,031,146,041,028,912,129,809,348,185,592,290,260,709,479,666,625,
288,865,047,337,901,662,615,645,690,145,633,938,456,566,306,073,673,092,017,
979,160,632,029,842,750,726,721,840,359,686,705,383,568,194,653,210,025,550,
672,499,840,366,245,946,107,552,412,512,633,710,134,052,037,020,406,539,631,
619,298,159,054,399,739,363,638,159,492,671,095,217,683,375,346,542,193,564,
527,201,589,534,903,291,859,649,237,480,514,770,735,913,326,297,394,856,996,
104,765,989,219,349,096,255,434,967,724,897,921,501,088,216,123,342,441,047,
477,510,403,252,879,153,589,955,503,517,402,971,303,883,575,184,469,274,590,
324,808,091,580,944,743,421,395,721,713,917,232,634,520,466,932,129,002,883,
747,989,006,080,341,569,319,155,113,546,462,972,305,164,000,258,046,919,650,
332,688,369,176,096,832,282,735,232,100,902,206,534,580,312,020,925,383,077,
633,212,909,743,637,521,557,647,570,373,907,073,692,709,767,112,609,607,799,
685,814,497,669,393,534,823,568,376,621,447,406,139,009,738,918,944,957,770,
813,482,323,684,060,182,358,119,887,971,517,778,666,256,773,353,129,570,719,
348,723,461,147,014,352,868,108,339,742,376,379,013,420,950,784,293,809,705,
674,457,207,836,874,450,385,480,705,771,860,169,616,837,227,612,745,935,505,
909,023,242,210,141,617,048,362,480,180,652,502,081,560,867,364,374,413,240,
543,475,065,306,835,122,050,895,302,095,160,192,765,810,434,278,670,702,757,
205,809,732,302,078,794,725,481,491,013,694,476,478,423,901,306,310,923,056,
561,113,980,075,868,076,890,689,872,150,174,872,627,981,398,834,844,230,955,
188,880,088,514,367,158,220,520,836,111,342,426,318,166,841,777,160,202,590,
131,676,738,564,840,137,172,787,399,458,200,989,469,096,820,651,764,585,977,
208,789,565,333,614,891,374,274,647,961,928,862,730,827,146,751,280,713,622,
851,809,643,018,229,737,612,190,091,793,225,062,989,154,565,202,184,872,158,
554,759,179,039,201,745,012,692,660,142,082,938,093,225,655,621,926,240,960,
723,790,401,633,652,250,503,143,603,731,030,196,887,261,123,277,829,580,967,
657,714,136,596,832,167,464,433,133,857,406,998,582,753,173,682,314,728,182,
195,637,299,907,212,582,298,073,505,035,202,538,575,953,159,001,819,068,916,
265,679,225,750,331,785,995,736,264,026,010,334,399,084,918,922,370,270,458,
210,337,518,224,274,005,024,886,259,065,950,943,686,709,136,557,480,195,735,
761,025,419,901,193,268,456,670,847,785,483,329,263,023,179,114,802,743,760,
422,407,412,929,168,039,522,590,686,238,287,370,040,458,918,632,166,865,558,
767,609,092,696,661,063,780,495,003,168,679,091,744,059,469,272,201,934,752,
501,891,467,601,789,843,841,789,144,787,919,630,454,484,176,644,502,453,533,
451,735,921,719,206,556,316,013,476,966,503,355,732,334,881,750,727,910,907,
165,687,167,422,495,822,488,910,147,671,244,286,392,550,281,227,923,544,095,
852,466,368,757,980,703,611,597,270,660,234,640,310,573,567,294,313,663,706,
637,259,532,109,297,541,028,835,005,150,273,563,736,901,816,408,553,556,685,
145,746,430,434,871,461,764,117,699,762,923,889,375,784,186,249,570,239,864,
297,479,458,413,370,010,721,357,700,688,414,794,025,256,073,285,715,963,546,
540,846,416,975,704,245,890,196,722,079,405,745,021,984,884,074,683,753,764,
054,561,294,974,467,713,849,984,663,094,402,703,633,519,859,080,416,619,961,
834,582,361,068,454,562,090,380,223,646,525,661,974,673,859,008,016,498,737,
040,422,094,879,394,527,082,370,754,007,707,539,627,954,102,801,741,094,887,
969,861,102,186,359,018,024,179,984,506,438,191,962,794,479,948,279,087,719,
077,551,247,631,625,043,652,443,292,737,621,864,400,649,930,710,310,824,048,
793,863,818,617,587,945,712,467,897,660,612,881,642,182,144,076,689,084,472,
292,073,807,967,724,963,321,639,391,657,577,681,187,698,627,478,440,249,070,
454,424,670,039,350,670,559,894,128,929,824,327,390,913,413,917,583,512,562,
694,956,151,494,404,485,431,120,946,805,788,486,907,351,640,693,409,025,233,
192,962,173,781,927,608,169,799,377,798,822,111,401,739,981,213,385,082,433,
849,848,618,691,021,893,416,177,079,950,572,457,216,981,877,444,513,003,938,
975,353,098,517,937,450,242,743,213,168,798,001,137,091,309,230,126,066,097,
492,539,989,958,771,492,474,700,513,744,905,648,697,467,649,091,632,162,818,
868,802,950,169,955,700,423,085,226,401,717,294,128,199,360,014,410,490,208,
227,507,213,840,949,594,336,909,831,627,705,763,456,620,548,820,026,186,344,
457,986,953,360,422,795,161,113,804,372,821,373,541,697,771,932,645,118,017,
691,083,386,736,735,584,636,022,964,155,589,958,855,634,650,706,909,886,815,
284,038,564,494,754,081,014,752,080,827,267,415,005,629,742,364,396,861,230,
905,848,494,022,568,270,069,926,732,543,021,921,143,686,455,604,016,174,897,
282,886,466,548,283,837,025,698,555,755,615,626,272,664,701,600,376,673,605,
800,172,014,169,445,206,077,954,101,180,220,913,080,261,398,086,404,756,702,
701,973,651,882,024,110,977,323,024,544,204,063,057,442,071,045,961,948,375,
405,432,227,664,882,798,944,620,510,662,201,899,709,167,574,808,039,668,089,
523,825,261,148,844,550,728,837,074,545,249,872,983,974,071,922,508,704,610,
477,691,611,151,432,889,914,903,579,261,175,147,847,940,417,298,017,429,535,
785,187,162,037,838,967,845,954,306,079,746,810,436,706,046,820,621,757,315,
372,712,401,457,681,028,316,775,692,335,344,918,717,934,005,517,723,929,907,
553,244,359,398,383,204,203,329,863,943,211,417,561,436,133,863,065,287,410,
838,200,014,631,233,936,938,984,964,287,208,388,536,675,447,447,252,239,411,
944,442,340,552,943,600,109,543,222,511,994,899,137,161,697,050,696,629,689,
069,020,660,500,496,289,882,868,034,584,419,703,313,890,992,796,005,670,891,
328,641,562,693,071,880,966,568,883,826,945,279,958,938,237,933,486,597,671,
646,181,408,721,462,485,549,824,755,197,406,717,852,530,875,403,713,050,248,
647,608,741,569,199,393,099,950,873,387,091,986,939,563,353,171,727,646,710,
923,266,812,627,653,129,918,208,006,577,390,711,563,001,495,282,946,982,177,
577,481,828,774,095,637,060,835,150,391,016,000,393,445,699,380,232,692,472,
355,651,698,087,162,417,394,605,378,397,903,822,288,501,999,061,827,336,010,
278,305,051,724,157,769,806,996,316,698,227,069,970,051,162,741,561,246,921,
572,909,790,454,663,970,643,645,882,354,429,998,579,251,505,677,202,517,207,
587,022,786,462,294,633,103,295,965,509,259,116,854,501,970,738,068,209,210,
960,595,167,799,776,750,211,175,438,593,945,759,254,871,218,124,581,494,777,
870,561,875,761,587,179,111,047,013,788,848,768,668,120,136,695,083,856,518,
716,113,242,921,554,340,022,517,977,973,249,030,735,914,529,241,675,701,790,
305,894,504,928,611,646,982,288,198,534,492,199,872,879,472,675,877,266,521,
293,517,033,325,685,236,029,713,375,220,846,659,984,933,822,573,773,697,766,
994,119,555,441,838,825,144,398,852,735,106,113,420,870,408,097,713,045,095,
511,407,326,141,358,349,833,185,998,440,525,051,045,817,146,277,838,667,582,
985,747,757,243,649,394,198,504,662,588,606,180,830,781,853,283,825,953,614,
647,629,664,706,808,748,335,257,048,216,753,961,265,809,246,835,617,281,523,
925,504,144,855,806,905,706,284,849,192,918,183,030,756,463,657,908,637,433,
123,646,388,221,468,339,182,253,752,404,052,416,947,438,154,625,847,646,127,
923,793,090,415,776,634,957,759,468,851,800,748,471,496,261,072,333,707,325,
622,909,576,097,868,942,972,157,762,887,777,639,763,847,612,198,034,840,467,
078,233,001,159,882,299,467,431,887,243,119,743,298,494,977,514,531,634,952,
316,721,168,868,459,430,278,645,894,291,032,709,616,367,779,528,195,420,901,
189,887,240,850,529,919,112,257,067,117,726,827,665,783,673,262,600,296,148,
325,951,288,245,207,135,403,978,158,262,076,268,292,580,227,007,951,013,458,
655,443,083,880,911,538,842,175,686,043,334,855,173,349,517,475,349,534,068,
513,732,597,326,323,052,389,130,004,572,141,182,041,091,599,403,202,008,050,
114,426,442,770,378,401,919,632,795,940,616,064,738,554,936,269,200,527,743,
448,153,277,087,688,518,910,611,943,191,149,068,560,541,373,834,462,000,164,
605,194,684,928,834,370,705,030,102,423,972,353,098,451,777,553,594,712,904,
323,209,397,766,255,564,465,983,196,468,440,990,112,871,780,082,327,306,621,
486,496,017,834,033,807,484,375,964,178,537,475,735,451,927,188,680,496,315,
730,981,372,317,359,619,928,395,903,589,315,047,567,302,855,485,619,542,866,
402,680,371,415,012,180,163,986,032,058,230,899,280,800,760,799,365,534,296,
390,542,665,472,877,401,180,236,779,671,715,546,410,441,576,702,837,404,455,
317,143,258,088,209,210,976,838,370,843,192,450,968,341,772,805,284,030,974,
960,574,211,991,836,081,282,080,707,704,972,330,742,962,911,608,133,782,829,
851,592,841,532,125,137,635,316,257,473,415,619,319,609,996,275,353,107,734,
837,596,448,343,629,320,127,714,378,834,897,721,541,625,744,070,481,536,232,
063,222,988,111,720,751,354,567,568,991,385,308,667,257,172,771,723,176,279,
329,724,284,471,687,145,105,441,046,629,628,687,445,964,947,153,675,204,564,
721,854,215,371,671,875,512,725,382,867,758,367,690,442,747,687,879,064,521,
485,740,925,429,906,011,073,767,947,686,738,774,696,365,289,712,225,368,224,
356,553,305,897,121,372,941,898,378,550,224,465,768,009,428,621,458,691,575,
944,909,666,282,186,304,905,334,712,482,090,039,213,114,924,995,776,680,980,
547,741,542,172,169,271,984,687,284,065,853,568,353,801,582,385,991,233,215,
218,212,499,904,208,242,363,130,718,383,316,562,418,816,414,172,278,376,948,
539,195,260,073,191,997,948,314,774,229,072,311,009,799,712,513,079,818,468,
570,398,005,984,410,851,853,229,140,116,960,412,516,285,333,461,747,377,599,
497,916,936,439,343,825,739,210,601,080,093,216,456,637,193,727,151,251,670,
911,792,488,021,030,049,978,942,627,154,239,523,656,224,800,772,431,823,707,
958,382,116,472,969,084,762,406,254,940,496,049,062,461,319,939,798,863,476,
416,574,653,123,571,497,802,417,751,657,588,041,806,331,930,815,901,632,445,
916,696,957,065,150,799,848,393,277,958,280,543,440,987,938,826,892,989,244,
460,839,628,179,574,112,649,791,766,039,844,486,531,198,282,608,096,773,666,
605,033,388,898,728,880,221,268,240,982,682,186,643,711,268,439,297,640,570,
730,089,734,285,593,912,968,088,499,405,791,584,901,757,818,942,464,298,489,
256,882,305,002,102,054,498,365,393,645,700,720,832,184,645,898,039,840,486,
089,185,312,373,127,536,194,766,172,681,818,459,530,609,629,887,140,997,851,
513,299,551,879,075,506,269,726,344,808,347,476,369,810,699,164,880,752,954,
908,272,921,297,257,420,841,885,286,147,171,426,595,246,841,149,429,398,793,
739,730,691,851,320,957,188,561,716,407,766,983,641,415,271,317,552,696,452,
158,162,949,367,401,872,680,720,628,000,064,455,701,303,513,469,993,888,870,
144,171,677,722,458,100,212,566,502,922,785,364,356,892,265,851,460,847,243,
746,053,000,397,279,568,474,635,176,608,446,925,476,434,258,413,297,866,758,
933,705,710,184,416,622,404,584,851,594,695,746,204,528,537,254,806,825,639,
525,442,224,294,326,732,400,759,845,411,402,652,259,340,508,116,498,678,510,
264,672,735,218,681,735,408,828,006,683,654,985,852,157,267,676,146,730,903,
293,434,424,020,013,114,127,982,404,459,724,621,415,996,224,042,324,899,311,
812,613,293,889,853,347,554,963,453,149,231,480,452,986,029,660,268,006,629,
611,285,198,573,662,658,793,835,796,240,072,731,446,829,020,313,466,223,509,
575,111,329,306,001,849,254,267,868,487,304,269,640,694,447,586,182,667,651,
445,352,208,371,984,894,948,960,655,399,543,916,307,065,499,173,017,786,238,
282,013,998,558,260,277,850,569,754,674,328,716,901,348,412,617,661,726,846,
388,894,557,273,153,277,457,622,521,141,711,149,203,875,563,512,717,035,378,
327,018,537,252,281,255,090,896,712,312,997,215,616,926,585,773,645,535,387,
113,536,520,839,602,292,200,954,194,109,571,480,581,447,943,641,002,149,781,
347,888,218,751,657,752,809,809,484,313,520,356,818,089,053,003,468,646,717,
658,416,133,532,375,258,093,232,496,135,897,648,839,328,206,336,545,923,854,
592,487,425,585,987,710,556,777,101,513,600,160,496,143,840,846,046,669,063,
388,692,900,472,477,805,209,345,303,129,895,065,496,589,565,767,762,427,383,
327,976,534,278,055,107,106,615,101,961,551,276,353,143,231,179,781,677,333,
222,255,937,663,086,829,702,213,059,150,993,712,051,145,403,222,408,285,637,
100,611,799,298,495,647,707,387,785,825,954,383,986,846,331,050,301,132,451,
140,641,528,393,963,882,696,349,925,546,632,056,485,604,029,190,657,873,609,
696,168,720,393,427,213,372,435,159,040,245,992,921,696,578,820,645,966,042,
380,072,580,324,805,992,337,545,654,364,050,370,752,596,179,199,555,236,929,
928,452,414,309,312,235,589,568,314,492,982,776,938,955,139,169,236,232,128,
462,789,384,656,874,416,739,289,035,111,013,214,799,659,083,296,262,820,039,
336,966,756,284,591,431,017,243,828,041,144,556,782,633,189,006,365,265,472,
951,889,456,213,070,387,694,333,643,522,294,797,527,979,615,079,351,080,764,
489,254,121,877,931,234,922,818,356,740,259,859,051,419,117,450,631,835,743,
053,004,136,844,300,426,946,956,095,884,565,331,465,442,493,958,705,204,253,
829,095,213,767,186,085,510,801,283,174,909,721,768,750,121,432,859,727,653,
636,567,983,705,215,837,884,816,800,332,874,246,581,027,913,240,500,476,128,
294,779,514,965,433,133,811,710,507,772,025,966,921,013,790,785,243,854,955,
047,741,781,231,468,279,636,291,098,196,332,357,276,257,325,491,461,132,848,
649,113,023,976,898,280,497,733,573,394,379,200,049,921,324,145,084,757,675,
387,523,103,984,051,717,866,530,265,751,297,080,582,323,227,628,431,782,023,
935,028,629,152,120,202,571,853,372,413,489,947,788,625,114,160,059,798,533,
313,875,821,489,636,787,116,592,877,999,778,291,312,106,905,697,462,517,745,
435,339,835,965,767,899,695,349,851,885,842,789,448,612,159,126,724,235,093,
311,106,602,669,296,478,324,575,434,168,652,030,243,912,785,078,648,212,853,
303,202,831,457,721,938,140,487,043,985,325,022,743,380,176,680,931,577,068,
539,300,495,571,538,417,169,023,257,284,207,844,382,482,862,421,997,387,215,
730,212,906,643,424,822,352,299,377,030,920,870,252,137,509,966,923,676,708,
771,081,645,483,551,428,717,735,461,687,371,834,415,013,031,972,593,262,312,
486,512,743,872,452,846,005,435,959,396,734,610,191,131,993,362,393,386,656,
667,946,570,692,496,470,371,183,349,169,356,901,671,790,995,812,605,033,977,
164,059,837,012,340,237,504,452,779,700,544,497,919,658,046,919,017,456,689,
873,490,999,764,428,250,775,913,187,246,105,949,933,072,146,984,634,419,865,
522,759,363,981,935,112,205,259,063,764,754,113,675,864,474,804,397,604,538,
042,562,770,683,468,473,725,063,766,105,241,330,035,660,004,115,836,463,202,
181,352,427,673,478,765,641,239,565,095,342,082,396,564,610,394,447,814,085,
912,864,357,272,816,281,539,125,034,976,736,569,148,294,844,024,643,958,667,
541,675,052,208,948,347,180,198,015,572,236,012,012,163,300,080,478,513,147,
321,852,293,156,039,139,538,691,516,583,193,855,928,244,944,876,047,512,521,
707,509,005,145,015,083,233,112,258,909,221,615,001,761,421,190,281,368,196,
160,505,428,733,246,409,456,478,260,916,672,554,122,116,973,729,876,526,860,
360,829,508,957,035,391,816,185,700,958,615,072,319,626,228,325,204,617,142,
655,134,177,963,545,114,129,998,034,211,077,440,744,173,842,196,807,586,090,
782,562,876,658,213,833,058,141,091,060,066,069,150,395,237,982,714,614,767,
740,890,717,858,222,309,661,283,488,053,615,159,335,501,963,077,779,183,413,
973,998,400,812,657,680,809,120,201,158,435,371,178,563,916,073,869,301,523,
688,524,952,062,735,168,210,174,326,978,896,674,161,615,178,308,011,417,755,
699,046,140,953,629,009,472,686,387,303,756,190,463,546,940,713,272,890,093,
327,777,776,279,687,151,092,649,889,601,675,216,604,759,107,036,100,642,305,
614,892,030,494,726,626,514,738,279,943,821,618,535,531,338,430,978,999,266,
010,884,702,586,335,047,928,045,871,986,938,797,311,321,536,076,865,649,365,
777,380,951,693,306,729,517,248,557,730,726,097,032,138,222,225,544,607,038,
044,449,101,714,156,680,279,605,344,510,285,287,660,242,786,034,515,461,747,
937,676,087,310,269,449,919,664,863,611,572,276,735,533,207,917,366,285,896,
718,443,296,319,653,238,336,538,546,451,964,788,984,850,878,163,419,257,837,
256,360,484,731,813,005,135,329,680,269,363,545,826,322,688,597,561,141,365,
398,245,269,254,937,259,771,418,030,140,790,401,359,889,902,433,112,421,534,
098,073,897,127,013,678,238,707,800,482,737,799,955,971,455,402,441,705,662,
185,050,131,132,539,798,136,307,065,852,662,006,356,687,958,541,511,303,412,
707,040,073,511,107,107,078,306,908,227,794,017,585,585,711,565,911,253,578,
034,694,799,405,184,806,487,591,342,873,603,573,347,286,602,848,439,552,910,
624,938,274,981,124,598,757,329,012,570,577,395,341,123,528,788,088,925,743,
608,644,418,363,466,824,161,676,716,476,254,362,202,176,298,431,310,194,236,
675,598,890,858,218,279,290,911,284,669,361,841,869,875,266,427,150,243,664,
430,509,383,951,030,561,047,197,142,320,426,592,608,590,312,048,555,174,393,
721,897,381,249,022,073,093,761,481,416,278,768,349,132,617,477,557,642,590,
129,984,261,721,489,914,062,381,365,185,071,189,343,705,655,196,855,635,703,
231,076,492,311,650,028,834,075,867,463,749,226,382,283,757,674,488,520,703,
483,655,862,161,641,351,388,642,879,402,425,410,188,009,691,020,972,178,441,
499,874,793,643,634,598,022,445,776,930,572,203,467,361,999,031,175,807,349,
011,929,921,717,494,845,717,832,859,670,433,859,380,283,205,359,112,869,500,
150,344,421,953,475,503,480,943,082,968,876,064,658,951,000,292,619,850,332,
043,577,136,559,822,756,290,672,123,112,643,550,173,575,991,359,717,834,454,
471,945,330,284,559,140,964,607,680,535,512,552,855,611,355,482,910,152,354,
599,124,212,717,884,403,052,593,387,131,099,075,740,429,349,471,475,725,320,
191,052,228,588,457,358,220,253,020,702,331,175,908,112,702,571,004,471,541,
815,157,443,017,208,578,677,515,631,325,930,407,531,645,576,025,458,132,649,
190,976,558,632,465,966,102,174,692,400,454,199,267,577,935,277,959,411,730,
486,616,710,765,282,943,011,893,737,703,765,707,051,041,983,136,988,841,403,
592,682,922,991,181,270,236,914,312,099,127,182,566,338,046,924,760,243,636,
614,958,998,390,156,836,395,982,649,339,551,464,131,849,586,393,749,749,262,
664,724,952,999,050,856,121,024,409,138,847,002,261,174,400,166,117,351,636,
452,904,169,728,402,565,977,328,131,437,662,016,313,727,057,967,501,282,305,
368,922,567,718,469,795,840,589,590,681,543,222,930,326,099,341,171,082,936,
021,900,043,432,732,006,298,582,641,274,408,398,427,640,803,963,370,743,566,
642,949,339,689,636,504,952,695,045,253,735,872,509,259,253,653,076,217,225,
538,814,327,662,376,268,248,773,376,673,368,387,941,652,394,093,377,222,417,
012,348,860,021,272,104,153,496,587,632,009,973,267,750,852,303,575,130,358,
091,922,191,465,492,917,142,871,713,237,877,494,980,896,345,766,074,248,544,
973,202,061,666,756,734,896,256,338,488,690,529,697,312,735,502,167,297,978,
107,444,370,326,774,034,360,794,152,068,608,682,202,563,723,404,136,857,571,
099,563,274,859,579,564,454,804,536,571,469,160,917,439,074,292,953,595,384,
732,260,720,407,992,638,690,127,983,962,573,169,813,758,236,566,812,932,174,
957,858,060,389,541,302,825,864,793,495,290,724,104,559,602,481,811,445,826,
002,112,598,983,707,656,476,733,959,828,279,543,348,774,474,337,252,489,608,
509,914,917,147,376,008,183,831,864,092,458,079,419,539,977,836,310,381,701,
855,171,770,991,862,494,406,105,103,163,788,137,015,785,493,870,440,858,035,
027,962,340,544,027,757,527,207,827,175,580,187,628,085,625,115,947,375,825,
946,226,516,839,635,268,939,175,789,097,585,245,135,685,760,962,097,856,842,
277,874,077,051,410,412,735,406,549,200,460,423,803,837,324,490,556,128,917,
036,950,793,358,237,528,028,944,804,702,016,529,627,766,691,339,139,661,506,
621,531,996,741,864,211,693,437,119,281,963,120,173,507,188,849,861,464,232,
611,168,337,588,734,831,665,025,310,856,923,712,912,540,927,642,841,982,000,
534,387,358,535,712,471,469,081,289,842,997,709,703,870,916,715,535,907,789,
638,903,109,659,783,641,427,624,869,981,081,431,138,657,159,002,769,470,240,
345,005,324,893,291,172,328,112,576,162,439,076,052,312,505,657,382,616,756,
523,841,603,317,946,639,279,637,945,022,488,781,582,187,568,893,312,250,319,
933,555,079,073,043,816,531,324,631,083,510,425,938,485,335,623,631,230,662,
242,006,640,790,069,384,309,561,319,665,606,582,467,605,791,346,107,030,124,
282,831,786,798,932,997,253,865,742,319,368,887,683,242,846,856,522,071,834,
259,172,125,098,206,261,250,469,928,238,834,223,562,442,440,824,510,524,525,
024,790,822,914,834,925,202,829,282,187,422,531,738,609,669,630,244,481,768,
939,249,258,618,340,940,950,111,549,950,287,130,949,888,796,438,170,840,363,
322,151,339,747,305,082,851,242,860,977,670,350,912,327,095,540,374,293,477,
767,777,493,771,734,582,696,415,733,202,686,737,882,605,753,181,865,492,819,
798,074,932,744,518,224,040,225,119,269,864,064,180,460,888,562,704,244,015,
631,602,369,510,608,635,490,795,768,649,940,037,594,267,091,997,308,804,205,
836,809,052,849,383,433,899,804,532,173,073,669,052,309,360,926,430,213,310,
566,624,541,290,327,418,911,234,069,573,147,971,410,300,875,277,710,023,429,
726,153,743,720,108,847,977,777,000,084,648,762,912,822,103,064,676,342,968,
216,231,349,849,549,433,443,698,157,926,005,326,543,558,585,342,476,700,816,
448,810,202,004,831,595,833,182,514,070,334,731,150,605,684,952,319,209,310,
955,909,986,011,979,297,115,772,094,978,203,631,210,768,556,584,940,281,644,
162,219,923,239,450,979,308,995,965,377,086,235,327,196,103,926,749,378,865,
513,176,454,123,948,601,258,853,387,603,745,602,338,536,134,270,648,696,966,
543,432,505,625,809,154,192,509,910,282,234,048,254,524,534,117,754,777,415,
560,230,965,942,711,522,153,018,022,619,249,948,271,172,882,069,401,973,906,
560,827,856,316,613,974,571,102,376,380,632,272,482,292,881,207,874,248,776,
519,543,692,155,959,380,514,255,078,710,944,484,278,591,579,250,904,696,289,
953,323,240,370,833,384,574,600,409,617,619,959,489,832,073,916,635,767,981,
926,104,891,042,965,054,806,738,586,130,539,861,850,503,812,018,723,454,615,
533,991,011,035,124,233,348,744,362,298,028,857,881,179,717,755,608,609,253,
111,774,286,240,846,911,985,542,158,689,074,259,448,830,613,775,048,410,851,
216,619,675,004,846,215,520,416,017,991,412,860,499,647,154,397,442,873,320,
929,125,831,673,477,163,280,451,630,904,440,898,351,551,658,856,141,598,508,
696,938,231,273,709,238,038,348,553,418,808,984,368,973,471,090,639,161,898,
350,171,199,002,915,474,195,263,855,642,387,491,980,024,965,787,967,417,316,
971,614,459,691,991,004,769,932,108,290,864,296,590,382,345,715,983,981,612,
453,355,911,733,669,171,945,274,481,812,374,076,649,264,773,548,681,647,765,
819,320,322,786,451,522,023,537,295,696,891,058,583,554,928,852,962,875,986,
303,348,183,046,915,257,923,678,271,348,926,953,622,066,461,024,239,731,859,
088,132,088,350,318,410,672,997,072,296,519,366,058,922,208,780,280,630,481,
509,686,746,985,843,122,923,745,091,313,603,132,922,348,503,054,177,652,843,
742,005,257,201,132,997,025,973,315,419,625,234,247,450,671,670,081,480,392,
852,302,358,736,229,577,222,599,600,574,611,457,510,250,746,497,806,368,503,
500,075,389,178,854,887,708,195,569,010,167,894,566,142,243,504,751,619,248,
192,682,672,229,981,642,188,026,285,512,557,816,213,477,327,422,247,043,230,
389,133,241,013,564,532,682,679,812,037,595,031,167,730,475,311,478,889,853,
118,442,056,482,950,447,021,970,638,481,902,667,615,164,073,147,865,558,944,
326,675,816,323,304,323,589,053,604,902,507,042,046,735,766,883,465,329,565,
984,192,421,675,664,063,685,018,182,702,542,046,982,150,807,499,449,648,803,
144,775,053,455,590,690,438,261,742,950,827,789,595,698,679,568,918,400,426,
246,707,948,096,418,935,444,164,627,058,857,011,988,511,006,010,197,959,168,
099,031,514,720,801,825,166,650,983,852,163,072,274,310,886,455,548,363,824,
304,260,007,499,443,313,710,114,192,128,535,597,463,197,776,174,313,099,019,
985,582,352,246,524,871,984,279,790,666,196,302,445,152,677,701,159,631,196,
100,846,387,794,171,199,196,012,780,981,328,654,709,647,420,076,418,341,556,
796,140,209,982,516,939,345,781,272,015,302,750,832,318,728,939,816,820,404,
871,571,449,770,633,504,578,219,828,881,015,505,751,012,490,024,723,595,816,
154,219,653,762,680,278,056,968,421,840,841,032,582,250,061,963,752,152,705,
339,377,393,897,087,447,960,946,604,231,066,453,878,822,064,521,746,234,801,
611,707,649,104,432,143,984,987,615,839,762,580,506,386,933,170,203,466,642,
852,600,196,015,136,882,337,066,092,647,460,237,153,943,523,133,523,759,908,
546,058,984,369,859,196,718,171,108,094,602,052,227,060,885,990,966,232,740,
440,103,041,583,078,119,165,174,389,989,264,925,333,174,273,108,708,352,209,
521,611,836,406,550,900,251,598,311,490,528,523,777,410,665,118,410,562,296,
188,278,210,972,527,598,050,531,123,639,810,389,533,016,340,868,629,455,478,
440,857,226,460,468,735,156,721,468,548,673,220,580,431,639,014,877,106,243,
273,212,977,024,713,589,911,452,866,592,571,859,122,445,971,443,232,319,998,
898,356,894,160,390,801,421,568,416,775,228,154,523,629,940,778,993,300,061,
502,182,320,879,237,191,484,969,927,961,380,291,457,834,077,834,771,831,649,
314,901,043,857,460,962,541,492,672,015,154,629,361,156,077,254,519,396,377,
468,613,957,571,001,098,579,728,239,180,016,309,413,808,401,863,757,516,065,
464,627,731,865,340,992,054,701,295,388,718,203,876,231,607,488,627,099,242,
355,165,173,706,826,702,043,300,467,049,201,908,613,766,021,607,419,522,846,
846,170,721,886,823,939,607,536,193,732,607,224,594,095,422,648,031,703,245,
960,885,147,335,666,727,867,220,220,792,801,636,448,537,183,649,828,208,984,
411,276,743,124,093,884,892,975,114,737,833,656,668,154,872,345,210,157,508,
921,658,454,454,047,302,887,005,663,698,945,832,219,641,763,794,217,260,094,
726,032,701,070,867,638,032,979,295,698,015,461,058,728,290,467,453,913,590,
160,040,946,294,173,901,036,578,493,929,312,848,646,868,475,175,472,676,065,
908,082,791,780,580,034,070,941,948,711,454,323,747,307,593,906,981,635,312,
701,451,394,449,825,094,244,515,122,905,956,301,115,713,607,434,537,258,920,
897,992,102,565,712,074,291,767,684,220,668,075,982,895,506,025,751,811,005,
058,285,301,695,230,478,380,190,317,996,911,888,553,667,830,590,954,198,545,
060,157,038,871,263,346,312,765,010,922,471,966,925,205,774,049,923,858,763,
302,635,096,812,406,569,334,715,973,198,230,714,867,569,045,111,283,513,223,
480,981,726,258,905,519,913,975,155,304,809,780,823,189,331,237,972,577,194,
032,057,309,881,479,577,860,953,790,237,378,925,443,084,567,882,198,213,419,
748,061,544,587,990,114,139,287,732,822,470,722,052,891,349,621,168,370,056,
436,296,409,174,656,270,544,256,910,614,960,571,828,257,977,107,081,134,045,
451,328,404,596,606,676,770,965,963,199,055,815,109,864,958,266,955,927,073,
525,539,255,717,669,242,660,854,721,740,813,008,633,084,048,131,507,956,535,
238,476,854,495,150,850,718,459,332,986,231,504,429,533,240,189,066,531,033,
942,211,767,321,372,102,029,520,593,291,199,525,379,135,846,641,695,652,959,
226,469,026,854,038,180,329,391,406,074,642,979,019,853,184,265,746,123,885,
609,045,390,869,632,596,531,491,699,692,986,540,457,830,157,977,266,843,709,
229,484,689,492,648,603,015,882,605,833,201,679,680,640,203,498,510,497,075,
551,956,060,452,811,159,462,061,321,069,716,640,930,562,696,523,400,892,960,
903,391,779,448,958,147,966,307,362,938,440,302,714,114,652,306,792,924,709,
989,018,333,530,479,868,788,721,607,193,052,951,041,926,361,593,533,394,506,
980,123,640,150,587,484,462,080,446,704,421,706,296,398,037,993,869,217,138,
824,688,645,441,478,120,007,058,835,358,324,478,620,503,933,843,561,223,957,
584,879,669,009,468,469,997,469,842,307,780,048,075,957,118,627,986,788,729,
711,505,922,431,346,913,164,100,881,905,312,957,774,715,088,273,063,309,497,
916,593,003,339,406,860,621,960,497,140,510,984,275,877,954,177,340,650,175,
064,998,901,631,936,545,585,987,118,155,010,158,519,899,409,727,447,971,941,
905,890,546,435,408,364,360,110,342,591,490,745,241,114,000,701,989,938,512,
126,008,164,704,325,939,931,023,812,626,341,090,700,630,608,618,952,151,411,
072,253,049,137,409,770,710,145,470,212,332,476,437,464,349,623,325,454,300,
690,166,897,064,863,324,634,789,108,293,908,556,873,075,404,668,790,106,312,
705,658,014,903,535,484,342,805,910,307,769,314,684,679,865,809,502,349,949,
851,524,724,869,378,069,092,068,278,523,135,891,535,470,791,157,119,124,678,
514,374,396,113,254,543,918,920,135,515,601,036,795,595,009,304,822,821,310,
792,083,525,402,872,722,734,243,097,170,073,485,176,384,406,451,691,302,594,
798,316,400,789,125,632,757,751,398,577,023,611,146,012,456,933,599,885,575,
286,720,643,442,627,979,916,743,657,237,677,727,262,781,655,237,753,829,107,
153,604,070,500,137,972,039,698,221,819,819,786,591,562,973,418,672,156,515,
967,769,041,748,141,747,148,136,840,398,700,293,863,537,047,605,705,696,745,
693,173,679,781,100,425,643,437,711,210,584,345,025,932,376,322,859,876,767,
030,744,247,493,431,014,212,280,944,806,913,633,571,656,515,070,804,572,170,
731,003,994,234,542,575,837,523,480,579,223,596,188,562,273,497,081,030,649,
003,550,457,068,429,715,544,695,855,132,204,517,450,790,373,350,481,049,589,
027,369,602,961,223,951,950,025,730,520,755,102,047,857,809,230,903,405,937,
172,023,329,120,794,986,851,078,460,066,690,174,467,051,602,751,808,455,795,
015,347,694,230,697,254,067,428,583,368,384,101,319,954,188,526,788,549,098,
631,761,918,275,034,737,881,651,092,986,811,130,586,180,583,267,080,806,535,
720,890,653,962,005,334,562,915,488,763,475,472,350,415,299,952,068,749,274,
567,999,839,774,738,453,502,520,425,323,756,044,677,548,085,085,663,023,562,
530,088,059,112,919,327,405,150,872,637,303,790,142,312,936,418,835,002,793,
134,958,580,652,742,733,663,055,962,196,975,414,405,046,262,467,773,873,968,
121,244,203,908,544,999,997,698,275,818,992,382,616,260,167,159,666,728,856,
279,584,613,251,645,861,940,971,336,686,004,211,278,399,651,978,578,526,027,
300,335,533,005,442,100,265,502,630,712,926,374,148,977,043,818,695,580,978,
639,032,094,227,294,943,235,606,836,368,865,681,878,146,610,257,291,199,611,
276,516,832,810,149,118,412,359,826,809,470,761,529,834,749,782,128,436,411,
037,517,897,401,237,677,181,111,101,820,647,504,114,580,725,770,265,377,789,
899,877,642,217,265,745,519,271,590,327,913,931,291,611,084,558,725,409,581,
256,494,505,486,150,563,357,437,906,252,489,319,936,580,971,269,525,902,539,
448,455,626,027,449,158,642,608,584,555,014,102,521,106,782,266,757,559,376,
452,534,584,633,805,501,531,478,294,524,655,160,321,619,289,661,642,459,044,
545,943,440,060,270,152,426,920,138,239,422,008,370,039,558,938,454,330,524,
020,975,456,578,821,747,170,726,857,561,663,032,021,430,068,737,587,544,374,
001,154,271,792,865,238,016,213,687,630,134,731,534,969,819,129,454,639,582,
466,259,139,951,532,895,317,972,181,824,912,935,595,134,974,693,554,204,242,
183,247,964,268,017,092,412,177,491,377,133,059,585,319,171,097,200,758,299,
340,661,361,875,693,020,245,060,093,921,817,116,387,794,630,916,525,730,471,
399,284,747,887,332,369,299,712,241,972,336,903,020,929,493,312,530,867,023,
524,244,398,320,072,294,168,333,361,853,889,775,678,442,512,977,550,023,139,
127,982,438,768,093,058,782,378,186,892,935,817,094,875,274,238,375,955,707,
052,994,330,827,632,714,519,242,636,439,552,615,711,812,208,783,583,375,622,
459,923,948,583,776,916,310,182,200,562,528,040,909,244,955,054,457,565,685,
163,766,309,106,961,453,941,681,149,634,907,013,887,522,046,160,865,380,499,
849,247,371,738,225,832,984,166,068,491,016,996,250,068,283,720,053,086,501,
287,487,415,799,597,882,537,937,982,900,433,499,306,610,877,578,035,786,026,
101,144,319,896,625,315,089,832,365,876,490,442,999,616,975,414,402,526,994,
073,525,196,264,851,274,602,473,237,536,434,733,577,454,232,264,314,793,050,
238,062,033,695,506,482,941,352,099,443,653,247,541,122,432,713,866,622,506,
523,692,844,704,234,734,256,928,653,367,782,363,415,421,088,311,065,488,735,
230,277,077,582,842,777,679,280,019,185,147,201,091,427,287,880,972,655,824,
968,439,583,874,471,857,667,148,388,366,142,327,472,046,814,995,168,658,784,
805,594,727,985,863,009,129,899,391,067,850,014,435,221,002,110,090,485,138,
567,893,814,677,479,684,421,753,236,944,534,762,354,013,353,090,991,036,193,
145,401,420,480,560,455,594,700,388,558,512,556,871,740,514,558,245,337,796,
236,320,354,791,024,405,819,087,549,930,882,018,512,416,888,005,869,953,046,
410,368,774,648,269,733,681,309,898,454,611,545,576,312,032,120,201,872,378,
841,703,100,192,166,414,176,398,326,102,230,144,812,117,780,729,506,194,745,
846,285,000,027,384,548,328,577,526,269,279,776,674,916,838,851,804,769,624,
696,748,866,661,742,224,096,126,728,326,197,946,246,037,322,635,983,929,562,
048,784,164,456,702,328,062,030,598,979,010,876,631,475,594,251,523,649,463,
250,485,589,780,585,070,945,201,594,314,195,552,723,060,309,258,044,513,912,
974,053,930,423,250,672,248,327,443,789,785,965,475,218,219,603,172,654,406,
985,839,225,091,770,523,290,163,478,315,550,075,585,925,906,116,487,359,653,
829,930,713,414,726,060,186,354,163,812,925,277,298,376,047,848,787,587,328,
781,856,564,086,855,865,740,656,266,333,535,469,245,256,795,012,407,901,107,
803,651,451,147,551,154,788,814,562,925,955,728,861,310,684,481,711,707,270,
811,262,430,463,634,560,684,414,229,360,778,475,991,633,862,457,066,344,214,
846,176,791,785,840,971,061,374,460,377,296,073,639,034,697,060,046,054,732,
810,864,330,061,198,821,930,051,365,797,540,478,110,541,592,778,064,584,060,
787,149,186,392,777,383,610,916,997,105,438,245,990,157,321,165,876,727,801,
460,797,211,501,537,855,542,057,680,859,387,100,508,286,506,121,620,848,128,
667,167,283,466,968,243,331,541,400,315,508,592,538,466,860,315,702,959,134,
226,539,433,311,991,089,206,402,310,428,384,699,659,066,205,724,573,589,409,
271,894,370,489,643,845,691,393,821,930,007,596,200,264,544,403,336,922,304,
825,180,857,400,508,371,243,600,972,228,015,019,343,843,678,177,114,534,225,
823,628,323,229,332,615,487,170,528,678,035,398,214,107,103,757,992,695,028,
739,456,716,332,677,163,699,454,890,684,883,808,920,595,054,447,109,336,337,
073,862,415,179,342,853,243,078,462,346,277,562,387,952,926,845,552,269,780,
740,948,418,953,910,866,534,401,857,507,393,095,760,371,423,548,811,560,013,
099,102,282,094,239,763,085,404,259,572,748,458,077,073,531,557,186,878,185,
557,681,706,986,549,493,287,726,250,355,610,117,430,982,619,917,266,725,336,
980,096,542,960,908,017,810,642,054,148,084,112,201,986,957,868,397,431,442,
921,115,963,151,023,401,071,975,499,715,452,618,119,088,286,273,152,590,041,
031,776,604,026,583,462,207,706,504,213,589,977,595,141,684,525,811,609,775,
795,754,809,014,388,570,572,158,235,048,322,086,552,870,619,006,711,964,493,
123,727,618,052,709,711,017,510,242,542,079,472,021,444,424,374,876,914,882,
678,169,647,855,631,996,817,243,962,987,338,651,502,047,425,812,021,986,327,
990,948,761,898,739,393,595,058,519,134,947,741,548,209,024,319,848,143,457,
467,924,117,634,559,879,615,401,154,301,190,874,696,300,056,997,007,622,601,
924,033,921,042,266,510,428,223,481,927,657,195,795,019,835,491,115,511,733,
422,991,872,521,957,758,292,456,019,828,505,099,908,553,016,351,472,292,804,
766,515,754,984,749,900,390,280,254,324,792,930,761,020,976,093,623,920,663,
508,653,828,044,561,657,135,557,748,650,949,731,022,666,192,524,872,098,007,
924,164,158,115,333,944,780,615,485,226,195,109,622,791,794,699,271,717,332,
270,587,420,451,557,892,698,931,590,197,431,767,034,016,770,264,744,653,432,
218,329,408,989,148,005,027,580,893,591,738,190,421,235,453,104,129,614,794,
663,535,141,078,786,651,164,399,095,797,258,966,623,034,500,625,443,627,623,
564,702,048,968,065,337,159,920,687,504,499,584,850,753,876,574,936,440,419,
172,778,314,309,465,725,947,250,964,297,179,736,933,094,862,032,616,860,116,
190,437,041,312,857,243,005,228,262,477,632,238,574,627,226,323,352,639,468,
154,944,845,476,845,982,101,211,774,521,719,264,770,782,830,283,217,031,974,
489,199,775,281,276,992,643,759,639,705,248,785,055,331,228,037,170,899,489,
938,015,360,066,730,501,525,215,941,421,016,945,998,195,307,564,393,223,644,
474,049,564,748,819,282,048,693,981,011,646,981,657,101,242,719,606,070,526,
036,175,564,647,408,866,804,528,834,244,234,269,541,907,776,111,112,414,505,
269,191,820,287,496,997,935,674,981,637,169,372,787,884,774,664,230,935,015,
321,679,918,758,628,321,090,198,687,221,931,950,125,807,936,297,353,894,201,
109,094,808,453,383,456,123,934,823,618,166,138,097,318,436,627,598,292,204,
620,869,508,994,948,582,004,826,041,069,167,920,289,575,579,885,704,509,178,
302,475,620,025,054,140,374,882,904,755,495,550,203,485,068,050,445,656,790,
052,007,318,982,089,830,355,730,409,924,300,274,185,717,716,284,954,360,240,
819,788,305,293,545,354,635,056,988,762,170,953,073,905,875,424,018,692,589,
677,101,015,148,652,338,140,557,119,130,791,455,673,062,333,398,498,111,970,
231,144,967,298,283,617,233,669,539,477,110,155,393,978,784,869,053,587,500,
834,701,047,065,905,210,603,672,225,083,327,493,218,059,668,184,928,634,936,
930,514,293,207,393,486,288,172,600,108,159,216,746,886,799,067,422,974,907,
635,263,667,386,137,707,467,059,065,344,392,695,940,157,029,091,411,019,113,
936,659,858,794,576,742,537,296,718,623,712,180,838,417,313,829,643,735,718,
549,565,716,320,537,091,366,602,835,597,588,183,881,008,978,572,423,632,889,
812,439,056,469,996,424,885,003,657,533,194,215,027,336,817,980,594,816,423,
640,510,407,725,942,558,243,476,020,593,559,476,457,934,037,329,419,322,119,
456,397,104,475,452,345,044,188,363,947,955,570,204,238,941,214,681,499,028,
673,499,719,183,011,947,867,204,160,756,921,698,092,432,473,941,606,908,951,
848,226,866,801,815,583,424,878,886,920,607,662,379,168,754,021,060,586,142,
975,052,304,229,483,514,889,041,424,969,192,766,474,574,577,287,983,808,139,
489,363,452,869,868,907,140,203,306,576,675,831,165,807,271,509,774,922,137,
027,721,675,286,158,060,114,222,394,866,973,358,914,018,059,845,200,505,620,
027,833,252,149,268,468,617,368,679,033,255,208,837,102,079,553,410,574,234,
920,432,705,848,170,000,689,473,347,948,093,930,122,566,294,996,023,447,818,
541,107,768,407,370,313,283,869,209,278,561,423,839,933,890,785,827,937,991,
513,565,606,135,765,892,500,423,474,486,931,718,231,469,440,033,628,105,391,
829,504,240,871,386,232,520,786,074,315,367,898,421,025,607,700,946,277,556,
600,275,102,487,058,825,276,378,015,451,786,190,401,932,605,728,612,198,315,
176,969,096,323,414,989,614,103,915,284,847,570,866,325,343,816,829,703,639,
933,079,790,685,263,173,737,752,705,414,192,625,927,044,196,255,967,267,548,
164,673,122,900,772,969,205,430,362,104,255,835,073,465,969,212,320,189,014,
917,091,983,297,618,891,785,745,969,855,184,446,994,936,148,712,474,669,459,
893,051,168,409,519,831,940,475,359,188,794,798,307,310,560,071,137,389,477,
422,238,710,155,644,649,165,891,969,832,650,836,730,097,858,789,112,343,601,
158,182,290,676,483,125,781,089,337,435,763,959,686,588,083,728,136,753,238,
143,152,218,683,094,979,391,455,618,200,150,386,604,628,630,023,508,452,379,
229,838,664,307,007,071,557,765,959,959,871,325,060,479,449,622,946,529,350,
462,647,360,425,234,254,179,953,897,220,992,180,864,310,192,630,783,839,237,
339,204,756,684,072,218,631,458,682,598,633,866,097,035,075,961,577,552,921,
563,537,996,524,447,358,319,258,914,587,963,163,708,067,878,291,626,918,119,
534,928,771,803,172,726,093,487,733,281,241,123,693,381,930,883,849,405,381,
806,662,269,901,388,039,925,454,094,888,453,289,855,811,202,652,799,700,003,
882,882,673,796,015,258,190,762,290,480,254,845,778,158,163,421,606,626,486,
359,365,357,018,868,781,734,134,022,737,383,110,127,989,135,829,624,297,401,
156,823,779,107,467,482,768,488,907,235,470,845,049,643,467,674,260,465,856,
481,410,523,888,161,287,885,342,743,911,576,310,983,636,037,116,049,845,627,
987,857,849,368,645,359,966,843,602,547,853,081,784,930,779,548,185,965,737,
818,831,907,899,825,414,420,309,249,979,121,512,668,832,217,808,248,751,167,
253,259,605,776,619,288,075,934,656,928,725,493,243,426,708,984,506,775,736,
687,676,884,683,982,070,359,224,704,521,590,215,034,866,309,377,814,732,026,
863,463,282,763,114,644,485,881,659,457,219,771,155,095,891,961,010,038,329,
069,710,457,620,821,794,482,446,881,784,511,666,847,626,859,194,789,770,587,
599,227,545,324,731,482,712,441,313,068,809,506,190,885,724,383,330,733,066,
308,627,845,317,586,458,855,440,501,703,833,675,387,139,456,546,137,253,051,
660,095,139,263,390,755,575,080,676,100,322,998,379,967,146,865,649,347,853,
413,012,560,225,245,811,929,735,338,176,302,556,239,818,634,219,185,777,048,
900,372,515,811,745,896,205,566,081,369,006,087,165,437,793,468,736,778,919,
140,755,107,297,440,811,240,773,466,540,790,626,852,745,432,210,410,885,868,
207,215,163,884,270,984,465,206,135,127,343,596,325,183,727,732,999,313,749,
775,314,322,044,380,315,165,141,057,352,875,765,949,610,127,262,844,533,334,
705,807,317,432,293,226,473,253,202,764,096,615,952,079,460,803,410,131,859,
681,107,480,699,608,760,597,489,725,757,113,867,208,765,010,448,080,770,551,
525,319,338,350,204,428,167,835,668,094,438,853,044,879,357,694,273,646,240,
060,898,269,644,901,666,712,453,019,597,920,063,123,404,111,554,846,187,506,
295,091,447,937,440,435,822,700,736,066,907,647,729,510,878,400,201,305,375,
384,719,242,389,721,485,779,249,427,876,563,235,111,589,162,374,121,281,979,
157,123,636,386,174,504,514,610,309,017,222,715,037,102,881,758,388,786,353,
907,521,531,696,958,636,276,918,836,069,386,600,118,752,562,337,694,636,136,
052,683,428,454,769,443,912,552,346,551,575,920,007,046,886,545,069,684,770,
930,564,814,574,655,488,009,177,565,471,639,280,826,598,819,611,132,079,894,
463,884,607,640,762,349,484,533,519,059,441,031,704,892,058,425,720,232,122,
267,970,544,208,678,823,254,008,188,502,281,155,337,283,126,731,126,186,723,
281,149,555,119,168,194,305,752,966,426,033,778,776,950,476,567,497,582,339,
691,446,020,633,774,865,133,539,870,903,529,968,238,203,872,037,772,080,940,
881,913,405,934,193,020,389,266,595,555,944,441,345,193,828,304,989,210,734,
811,346,874,896,412,434,895,108,180,189,042,498,067,844,326,218,646,039,717,
831,519,264,624,050,475,230,917,407,846,994,642,535,977,874,482,361,370,321,
923,676,245,260,605,581,097,848,219,930,999,591,788,876,232,543,674,857,742,
934,495,285,917,213,025,856,076,217,774,547,751,173,319,204,606,717,234,935,
373,195,595,497,459,606,378,072,257,960,058,864,997,102,335,044,034,420,427,
725,184,793,251,077,896,285,101,543,693,743,817,579,393,800,207,763,176,267,
780,251,026,090,005,171,335,172,759,259,254,441,710,242,226,532,981,081,760,
534,631,150,354,326,097,700,015,361,719,099,826,621,503,346,849,623,924,261,
540,797,911,814,237,745,355,839,727,752,977,053,512,173,152,832,102,891,089,
175,716,197,020,004,559,496,131,365,953,582,160,740,021,968,787,689,282,469,
487,115,131,992,153,528,652,610,621,817,584,048,507,591,707,830,317,001,444,
870,457,790,347,533,136,829,980,841,351,260,964,902,077,187,064,510,949,195,
295,493,725,930,766,222,756,812,910,750,743,400,764,931,804,554,509,348,760,
356,225,477,368,983,416,499,895,314,998,824,840,750,805,924,276,765,072,857,
899,115,135,494,374,656,628,405,848,636,456,814,206,372,630,523,170,508,877,
105,515,733,043,090,102,979,475,881,011,774,219,681,766,572,538,389,851,100,
876,966,266,740,948,157,707,622,949,463,143,340,324,322,538,064,385,943,302,
296,509,641,365,791,058,522,126,362,362,472,844,933,442,192,814,677,893,039,
875,557,019,904,290,353,918,281,700,096,432,726,213,188,921,117,689,135,892,
660,392,718,617,491,661,494,928,313,592,592,221,449,473,517,218,362,762,189,
754,506,533,857,934,591,882,448,813,415,800,126,343,068,084,976,595,204,050,
247,320,473,331,927,952,133,948,746,469,456,868,365,284,223,622,542,918,438,
676,841,098,720,503,691,304,177,970,333,528,641,788,157,438,780,803,613,793,
388,545,725,393,254,855,772,549,105,568,956,527,304,584,617,159,503,470,187,
678,741,162,118,167,133,173,557,572,555,037,198,278,234,255,124,543,549,550,
411,275,874,336,764,549,232,278,519,457,024,782,908,002,800,823,622,314,929,
420,140,490,877,428,610,908,013,648,752,664,681,274,004,502,083,989,094,150,
431,570,264,091,567,082,490,040,909,041,296,742,663,329,821,135,351,067,209,
764,497,236,718,931,662,188,904,189,828,073,202,935,766,003,797,543,443,970,
706,544,023,344,341,286,058,219,787,237,922,147,726,566,030,381,712,598,222,
903,774,815,704,206,428,025,175,190,384,625,731,977,963,395,023,286,464,616,
060,487,842,766,835,121,749,488,583,231,908,727,535,918,595,958,186,000,240,
418,697,497,033,352,694,573,414,288,455,269,005,510,250,283,960,919,984,842,
756,200,725,713,215,697,650,801,937,111,770,320,165,751,371,129,364,972,523,
762,434,142,801,179,598,556,384,850,682,228,664,895,061,099,972,491,060,056,
286,329,839,303,436,641,643,743,620,558,406,712,996,538,212,143,288,470,618,
058,842,059,607,749,626,812,835,930,047,684,963,462,800,859,091,312,227,010,
518,301,379,942,770,518,729,210,929,857,357,842,904,698,967,739,040,587,137,
876,574,252,376,471,147,867,218,934,997,307,472,169,120,933,196,712,193,637,
901,152,514,582,858,150,387,687,434,330,271,817,532,087,626,139,908,890,214,
885,860,096,250,017,169,686,787,520,611,558,279,937,542,812,639,773,156,745,
632,245,485,510,690,112,089,335,091,868,234,041,286,872,835,640,858,935,855,
798,943,597,290,050,153,316,740,801,164,592,113,238,847,040,438,470,274,551,
576,293,430,422,862,901,668,347,940,710,844,991,987,521,920,989,486,025,761,
156,877,928,003,359,599,756,371,614,571,726,235,009,902,783,361,747,128,742,
168,546,001,777,977,770,980,878,256,093,248,907,630,677,050,082,315,816,481,
009,805,081,511,968,508,019,974,143,980,852,447,497,345,333,243,246,037,119,
325,294,175,465,749,135,879,381,794,817,272,970,659,318,584,636,300,446,677,
345,246,320,161,589,160,169,281,296,136,370,823,869,955,171,351,335,964,365,
103,323,422,090,985,623,431,739,986,878,716,016,944,649,549,920,735,722,570,
570,667,203,351,733,257,245,675,606,707,509,517,639,316,099,772,602,185,581,
159,634,274,804,626,103,585,000,126,358,803,336,882,583,368,944,625,672,579,
621,180,629,889,385,999,177,859,688,386,464,407,038,040,776,853,972,052,754,
356,916,863,078,892,272,454,286,949,808,302,496,648,119,120,664,834,706,469,
495,373,397,039,711,902,520,536,178,246,048,625,912,786,334,142,942,448,384,
673,054,812,632,523,050,710,123,145,090,004,491,668,746,384,310,277,512,279,
087,136,873,956,513,101,520,410,793,780,358,650,218,479,074,821,597,747,845,
489,380,843,620,449,031,581,096,480,801,071,613,610,129,334,376,554,579,909,
045,859,396,276,265,017,962,848,330,863,320,215,388,151,997,306,691,503,866,
602,793,433,833,154,681,779,553,338,137,927,713,222,132,686,497,815,757,122,
929,772,778,022,297,799,009,280,898,993,113,537,216,348,611,314,351,989,194,
739,250,718,481,657,690,716,624,636,976,157,920,234,071,042,617,584,241,903,
219,704,057,238,764,744,553,095,385,756,187,795,885,498,075,123,376,177,513,
882,225,454,497,121,700,730,975,464,242,944,720,153,274,470,326,759,780,382,
499,725,850,515,438,490,414,484,838,642,135,815,840,962,181,576,861,443,482,
424,784,231,252,294,172,973,981,996,481,577,860,716,967,527,646,747,880,691,
565,742,089,583,705,266,536,315,976,376,015,976,291,545,204,945,992,823,001,
653,602,466,936,457,133,368,255,081,752,858,739,574,728,930,387,259,207,610,
375,739,509,730,328,453,865,340,698,098,768,279,578,088,523,510,827,008,804,
778,682,856,285,993,333,278,531,365,489,689,053,172,727,011,313,141,077,201,
033,936,915,518,280,316,305,108,649,748,481,470,263,719,572,692,384,210,493,
709,724,281,909,755,987,659,884,932,521,874,968,539,830,495,606,070,895,573,
756,346,993,569,233,582,215,150,328,950,037,893,387,293,538,701,257,055,311,
733,666,206,583,768,772,702,162,996,992,624,118,287,043,797,449,162,760,646,
289,283,912,012,945,024,761,416,779,746,581,473,316,333,068,536,685,680,545,
300,137,321,516,458,321,904,064,399,611,620,877,065,018,006,100,904,733,013,
099,985,773,035,056,362,264,188,809,779,311,932,552,676,530,567,950,984,638,
445,667,209,012,807,697,778,362,802,313,731,851,175,577,376,905,348,747,417,
467,819,335,931,826,165,797,901,681,214,776,473,243,776,614,979,281,063,119,
581,711,582,196,718,281,020,072,279,438,822,778,784,193,962,638,725,201,354,
714,316,111,034,188,175,692,549,118,663,637,994,001,306,267,212,670,331,219,
284,832,368,118,091,233,564,248,219,366,373,818,677,249,088,761,784,136,741,
581,992,477,414,582,596,156,560,853,445,449,971,612,525,790,180,902,892,729,
481,826,949,315,652,644,246,701,781,378,842,543,764,322,531,643,803,879,623,
315,441,104,873,174,793,148,091,305,291,035,078,774,097,354,873,774,485,312,
749,448,135,046,491,052,435,300,398,723,197,984,378,356,804,182,396,233,881,
364,706,615,767,569,889,931,864,495,917,220,721,137,787,579,508,482,736,451,
200,689,770,022,167,590,684,565,074,438,097,001,443,152,502,130,532,170,493,
623,104,792,213,366,062,073,536,614,253,097,765,494,255,567,429,839,364,090,
641,642,838,747,942,111,664,596,422,491,088,245,948,601,382,814,252,414,396,
389,364,202,797,614,453,191,373,519,099,353,223,173,830,142,792,469,056,691,
801,548,287,782,929,220,525,094,382,683,366,431,212,500,062,664,273,436,278,
015,414,276,536,897,975,331,443,609,271,340,950,414,025,789,742,469,331,476,
092,179,557,222,542,465,525,829,424,121,897,077,436,281,097,317,390,109,648,
892,508,358,794,294,473,190,795,448,752,950,715,712,082,649,871,644,593,669,
583,902,155,045,345,220,924,513,680,107,655,569,784,761,965,075,641,519,991,
630,011,543,667,078,753,975,526,221,813,734,462,088,426,340,403,598,789,252,
552,884,055,530,411,401,362,715,188,916,029,025,572,271,689,913,458,611,255,
487,396,305,360,719,620,429,760,447,154,647,933,733,382,890,566,919,053,740,
280,882,080,035,030,618,317,486,160,955,788,029,163,519,523,619,703,152,363,
434,908,630,433,116,610,345,057,293,332,132,094,956,671,481,263,090,829,468,
196,823,901,058,529,154,666,730,734,720,867,882,866,119,933,751,329,177,040,
200,099,028,216,829,973,692,645,161,212,018,298,738,832,186,337,885,103,098,
720,236,186,526,509,926,253,053,520,327,149,671,018,075,310,918,233,260,756,
163,085,965,621,690,669,336,326,290,157,387,116,123,962,453,560,612,506,121,
709,542,195,052,289,199,681,959,151,699,510,015,353,380,255,160,319,609,579,
083,606,186,985,172,569,328,716,754,439,933,148,078,489,523,011,262,181,661,
448,788,302,679,523,101,352,501,237,919,188,927,724,995,710,352,525,010,642,
687,792,141,656,436,421,402,533,807,485,699,306,473,764,538,824,912,025,930,
121,678,758,418,677,666,569,885,566,502,079,917,954,727,233,836,569,561,334,
874,428,156,832,124,359,213,166,625,907,775,117,240,444,023,813,544,678,004,
129,109,360,573,198,035,064,598,675,634,226,934,313,174,306,219,389,785,060,
046,487,099,910,561,572,177,907,336,870,717,298,391,402,187,061,230,943,348,
808,107,943,106,455,114,853,985,790,098,434,575,350,396,604,950,947,612,380,
145,528,242,800,801,780,763,281,336,889,569,465,055,183,820,046,320,847,729,
908,433,090,768,211,803,108,139,416,589,481,118,209,167,574,801,534,082,409,
476,237,479,737,770,995,652,327,746,947,444,767,391,104,205,669,178,275,063,
626,114,093,838,373,507,686,441,180,694,903,686,702,778,854,353,367,310,134,
060,877,092,697,352,233,147,999,482,987,407,548,699,185,856,162,873,935,708,
592,246,230,446,593,734,038,891,858,976,476,275,626,533,346,581,192,834,479,
152,344,915,463,855,900,015,573,270,543,308,015,995,819,936,356,632,422,860,
269,097,586,106,185,916,274,111,257,473,319,451,138,167,230,450,415,831,673,
544,012,384,877,106,287,648,399,780,388,818,610,579,604,793,431,249,924,044,
785,447,920,997,690,725,520,986,627,416,804,574,480,759,355,937,988,811,373,
095,573,181,705,518,078,548,606,910,802,439,191,236,594,838,941,245,278,076,
323,134,325,260,961,804,098,829,367,854,271,007,177,515,368,218,606,520,863,
378,927,296,733,210,472,679,289,991,681,230,622,528,907,907,796,353,353,954,
488,498,693,233,123,612,826,138,682,497,014,058,769,741,769,249,409,741,955,
884,310,392,255,659,365,887,137,430,041,014,448,783,083,490,745,833,577,965,
828,321,384,179,445,462,170,157,838,559,828,410,935,309,091,250,463,671,875,
992,282,640,389,943,804,905,829,449,089,702,360,856,361,410,947,583,546,627,
118,154,819,094,892,369,760,839,413,456,114,254,867,758,930,275,558,663,762,
185,450,014,668,825,852,162,407,595,959,955,028,049,696,175,100,599,602,989,
937,527,313,978,353,203,795,448,951,670,452,778,982,067,332,128,424,919,864,
134,106,229,830,987,226,603,897,347,682,653,031,074,534,374,968,673,620,010,
663,420,386,536,545,297,614,855,144,499,021,899,025,291,214,600,265,136,660,
226,017,220,885,870,461,314,672,669,517,807,001,429,717,290,157,682,924,052,
052,850,261,210,005,992,435,262,827,490,714,054,719,469,478,519,317,753,258,
484,120,415,835,140,861,095,580,446,645,456,582,179,942,986,960,757,786,548,
211,786,066,613,888,548,981,245,242,368,013,282,254,468,025,313,537,151,949,
011,983,189,704,809,908,074,383,940,084,092,705,344,912,646,708,761,190,494,
252,328,118,822,874,694,293,144,596,398,255,180,733,931,284,395,687,939,630,
548,538,618,322,400,876,500,347,992,566,631,506,124,469,096,313,289,673,309,
676,680,456,687,340,010,517,118,123,023,653,938,385,533,937,440,384,047,114,
417,831,557,238,096,101,740,317,148,057,109,230,528,822,524,705,016,899,672,
882,290,493,447,214,406,890,854,045,230,271,530,108,164,105,450,231,206,075,
904,312,873,237,263,243,614,717,211,472,152,260,562,398,188,358,696,702,203,
831,853,475,691,649,172,080,830,819,612,228,457,183,310,679,382,857,652,982,
434,821,249,327,407,108,644,217,514,925,373,949,200,725,719,716,566,975,628,
063,233,298,482,463,899,985,510,617,114,922,019,145,732,276,643,574,787,263,
462,352,840,368,290,649,637,042,560,117,141,409,946,133,253,803,511,525,078,
884,529,158,397,079,195,403,446,488,304,394,607,887,702,839,466,785,868,674,
483,281,503,884,240,871,077,575,560,056,860,753,710,692,209,879,928,982,085,
494,836,542,390,805,472,300,464,515,440,307,865,956,817,649,772,955,800,822,
719,270,366,995,708,290,974,120,854,594,568,416,343,240,137,377,086,205,529,
090,822,557,503,034,880,062,669,687,554,156,601,310,064,190,913,822,225,354,
659,588,564,961,244,921,930,150,128,461,885,580,974,473,355,200,948,950,995,
715,465,091,621,093,315,350,256,675,729,088,438,687,961,025,725,945,854,935,
327,680,498,703,168,404,505,030,896,544,890,748,527,589,584,001,796,822,475,
871,473,532,943,895,699,825,332,942,542,709,936,282,694,604,773,338,336,074,
958,263,643,288,571,534,061,665,739,435,381,256,608,180,180,978,456,038,384,
910,916,430,666,197,047,938,475,099,109,371,990,882,462,153,040,270,007,309,
607,140,896,576,561,957,120,117,062,113,969,231,082,442,850,010,986,226,713,
342,495,571,703,857,875,047,849,758,342,877,553,703,130,320,283,019,111,178,
307,880,663,238,555,081,909,168,364,043,880,279,762,326,785,633,147,141,015,
524,063,197,920,552,175,456,239,156,118,606,543,965,217,246,856,617,346,758,
509,205,592,547,760,574,181,991,991,553,405,872,910,042,172,378,016,762,258,
313,365,652,329,334,493,903,599,570,601,993,484,212,930,525,573,607,332,378,
973,640,634,790,656,924,125,533,598,654,244,171,839,531,923,904,267,461,043,
725,935,798,288,401,086,115,278,769,442,744,339,507,423,747,610,250,914,309,
123,916,864,215,037,592,569,142,407,538,299,941,025,873,154,026,800,789,170,
640,537,690,157,974,678,828,175,189,111,371,363,665,130,754,257,276,745,756,
677,549,628,678,188,151,725,448,324,062,531,042,396,561,474,488,417,014,994,
766,099,997,264,954,263,047,765,479,931,679,850,334,365,729,067,321,013,373,
353,349,204,084,481,322,003,953,552,011,673,311,755,830,134,115,902,526,834,
940,709,116,610,369,440,157,079,800,624,577,039,346,791,142,336,068,554,753,
174,136,033,963,905,334,789,162,687,772,340,560,460,753,850,940,659,710,403,
860,361,013,919,295,787,925,115,381,337,138,267,958,628,452,724,128,684,834,
004,837,087,545,215,463,573,574,807,274,143,702,531,419,512,599,789,718,569,
691,502,672,196,548,976,750,836,259,773,300,989,106,060,289,084,093,927,717,
029,819,348,736,298,291,939,666,622,443,159,765,793,452,602,208,874,854,257,
359,556,020,697,334,805,695,137,107,621,725,307,726,226,847,383,534,832,892,
868,036,373,048,918,729,421,489,975,490,762,467,902,222,416,009,220,072,321,
225,213,122,794,890,701,771,201,600,418,053,870,577,992,850,880,280,585,216,
366,489,290,074,643,907,982,578,218,009,051,918,104,358,161,096,523,802,876,
752,341,496,678,199,187,656,124,984,912,623,104,694,948,079,407,890,871,780,
908,942,143,588,002,448,687,471,182,926,724,596,055,022,566,423,289,825,372,
957,189,341,633,116,283,040,970,630,954,028,550,628,722,164,969,143,448,536,
601,832,128,244,013,064,369,517,841,406,318,919,428,101,104,729,291,476,267,
687,664,978,213,457,634,048,585,400,726,312,876,644,252,218,794,365,847,028,
716,500,886,715,519,733,050,190,492,694,350,912,400,271,455,711,430,551,963,
765,497,690,014,802,689,191,642,588,565,111,360,672,206,093,398,821,931,981,
980,997,444,869,873,969,121,487,608,998,325,441,526,852,423,093,889,815,877,
648,804,188,261,582,549,623,739,838,718,279,071,942,722,132,728,394,455,392,
852,908,907,961,112,944,667,554,578,951,222,655,034,401,969,842,490,893,309,
418,607,250,426,959,629,780,835,918,648,609,449,144,684,306,178,568,867,788,
972,337,091,066,784,334,373,226,832,532,780,122,060,143,684,425,839,382,327,
305,463,136,039,556,973,530,002,819,012,911,703,119,608,751,621,308,150,451,
140,012,267,871,241,710,084,673,280,829,624,702,012,664,839,966,412,321,622,
495,607,439,537,771,288,623,099,069,157,885,500,368,359,931,746,823,927,579,
971,780,505,732,353,484,197,865,749,217,205,534,777,955,179,257,695,411,031,
988,761,446,950,846,584,132,980,505,795,920,730,487,760,309,363,653,139,562,
943,653,482,401,333,733,722,658,699,596,528,700,931,924,570,707,344,742,402,
759,768,626,812,119,290,490,706,767,593,847,867,307,547,275,053,687,547,109,
082,197,175,887,951,076,099,573,762,522,956,275,867,261,324,927,867,373,644,
012,348,200,164,011,206,736,336,963,308,211,396,673,251,391,564,397,601,312,
184,104,359,881,309,736,368,917,875,855,007,363,175,335,342,973,004,613,236,
289,392,115,660,767,416,224,364,110,423,938,073,609,150,054,719,491,259,596,
757,268,722,239,077,532,932,121,229,840,485,871,989,812,589,859,141,307,993,
872,662,525,499,704,662,250,148,038,840,872,610,052,713,756,501,991,328,202,
262,501,507,340,266,464,241,527,766,841,352,246,023,467,394,529,629,606,127,
365,396,123,046,064,325,270,172,240,938,350,084,710,077,866,145,364,765,589,
384,379,356,968,328,923,615,708,637,999,252,538,216,057,503,549,347,939,818,
702,584,632,552,438,123,161,708,826,714,817,637,535,830,685,749,069,802,700,
583,095,618,253,999,665,305,162,008,100,118,295,115,833,892,743,141,367,831,
933,799,541,124,999,300,481,898,771,141,864,647,493,041,935,443,861,639,474,
484,205,274,585,405,279,799,143,405,244,421,376,345,251,761,499,537,020,156,
580,534,113,300,667,641,599,206,054,417,088,906,918,834,787,954,916,974,294,
811,747,465,533,665,239,550,113,741,873,630,275,874,133,647,981,652,094,846,
195,473,159,249,179,881,440,998,080,243,049,331,628,055,540,864,192,066,609,
686,487,744,418,267,289,342,765,233,089,589,539,895,515,631,156,654,732,720,
515,943,741,796,662,056,439,704,684,353,266,827,766,112,120,066,814,892,704,
614,893,502,076,769,296,685,317,013,807,654,656,963,085,809,115,660,216,371,
286,218,078,114,151,907,311,215,371,739,863,323,480,866,623,778,970,571,771,
909,943,987,762,800,443,874,173,759,974,549,615,150,250,675,512,799,916,984,
653,018,362,617,523,236,364,992,597,573,630,354,131,384,564,241,564,869,572,
740,393,781,999,356,265,135,152,524,641,960,886,640,480,998,654,554,177,151,
759,756,928,881,726,316,077,684,364,785,031,368,651,356,160,264,487,241,645,
083,487,919,613,236,201,621,443,487,850,667,147,379,281,174,454,921,899,379,
501,262,822,025,684,382,557,988,381,701,780,562,843,901,713,138,348,398,981,
438,694,689,987,195,085,215,587,053,850,576,650,254,655,231,734,853,979,742,
411,580,049,660,967,400,478,950,510,508,150,694,712,058,317,216,912,126,332,
384,925,449,217,975,801,970,834,798,189,306,051,760,627,170,149,532,784,479,
122,377,530,250,714,103,768,542,272,468,770,312,260,504,885,536,575,230,743,
442,573,310,828,127,337,054,092,719,459,217,565,282,503,545,670,336,630,526,
489,854,811,506,240,230,417,933,005,600,615,595,774,169,305,339,186,798,134,
389,450,940,523,642,460,154,115,581,580,385,612,915,769,520,006,244,711,062,
454,987,038,870,225,908,111,618,134,147,025,471,769,453,043,846,898,703,809,
457,849,845,005,175,260,013,773,937,626,200,706,247,338,670,698,221,159,183,
497,318,228,566,802,923,833,990,535,400,181,975,217,061,881,085,132,488,776,
192,268,936,613,202,431,769,664,934,389,365,172,575,895,438,245,988,663,304,
187,576,636,659,414,686,481,185,072,447,369,128,548,383,523,435,331,595,350,
822,393,269,726,733,795,185,936,519,173,944,581,265,183,350,765,601,634,570,
364,964,937,705,725,739,209,585,991,673,944,432,846,151,589,235,296,842,061,
526,182,655,117,671,851,930,779,104,441,913,276,738,009,684,319,639,375,826,
191,406,435,660,433,221,109,977,337,492,782,704,970,195,878,092,943,977,668,
609,814,333,472,493,388,209,345,659,091,511,174,328,342,802,167,334,431,655,
481,084,491,985,307,315,515,442,548,084,834,106,241,714,865,924,793,664,956,
971,023,993,315,462,648,718,179,738,684,585,824,659,242,750,708,404,219,805,
448,240,187,740,601,751,849,597,378,927,981,955,849,415,283,006,091,626,932,
307,557,518,342,747,197,884,334,348,339,554,092,352,648,840,597,159,471,977,
086,928,720,015,756,313,365,555,040,756,470,062,489,510,398,591,547,537,293,
645,335,597,404,448,275,168,963,741,303,379,492,278,272,407,361,147,521,588,
099,969,345,671,541,839,272,477,436,686,129,831,239,460,978,931,075,395,963,
449,179,228,671,933,849,099,642,249,762,084,646,885,660,644,479,271,156,085,
022,086,522,240,464,966,151,794,350,858,571,945,206,202,163,633,328,606,316,
409,540,580,034,722,450,056,371,056,674,686,515,853,942,753,765,101,675,665,
525,551,803,439,865,178,810,047,650,912,644,347,815,474,067,595,937,813,129,
988,277,501,351,162,753,101,292,791,520,421,733,028,324,103,508,636,144,657,
336,690,470,280,067,541,474,743,563,431,369,623,695,374,644,447,425,987,344,
772,309,158,969,666,988,724,440,473,595,924,954,785,426,524,027,000,793,933,
648,559,760,808,969,667,135,144,935,366,210,622,656,097,694,443,308,670,055,
728,651,667,097,912,853,723,844,431,564,849,490,651,502,060,283,888,739,410,
810,213,104,739,957,390,592,837,744,862,333,017,916,947,998,886,798,572,250,
421,524,089,911,663,934,455,918,120,086,704,895,811,551,183,301,100,431,853,
572,142,942,543,621,043,296,461,452,593,301,260,040,909,271,160,921,890,419,
827,262,067,997,739,739,603,326,393,178,073,127,605,173,428,046,795,708,845,
780,367,553,151,807,282,648,594,770,563,948,054,234,945,259,654,276,233,086,
986,935,182,151,811,846,916,539,302,331,608,051,494,076,065,107,420,265,603,
267,117,734,401,840,893,354,294,875,795,224,503,272,869,464,111,903,435,454,
310,537,817,837,698,812,809,192,256,509,104,187,637,674,718,322,482,895,961,
082,279,453,035,710,297,728,112,836,651,077,218,046,515,264,206,942,243,877,
568,883,945,702,941,625,996,933,308,122,204,647,704,716,917,856,506,369,427,
953,473,683,499,882,578,733,229,148,548,079,099,574,714,825,442,299,480,557,
703,430,595,126,405,082,551,432,627,621,401,101,086,079,291,819,903,163,194,
221,302,197,514,592,350,906,574,705,623,691,509,194,343,433,183,698,062,479,
616,531,133,393,761,415,201,055,840,055,145,661,907,193,504,165,911,729,682,
138,634,705,632,454,718,648,986,199,682,547,628,674,510,188,954,089,917,297,
718,760,809,620,172,291,893,928,063,001,719,482,879,492,668,019,786,214,092,
087,242,265,577,210,423,908,060,857,903,728,876,301,388,918,406,847,997,946,
098,761,481,030,799,191,699,317,809,780,609,433,045,372,676,897,578,030,266,
938,844,014,610,323,056,655,452,954,203,201,122,896,791,776,939,752,912,541,
770,873,326,206,610,377,181,337,823,307,340,317,780,696,859,009,718,266,635,
496,045,563,827,942,639,668,188,211,467,525,068,238,696,732,870,473,573,173,
222,413,707,079,521,871,932,245,676,356,702,022,583,964,115,919,572,292,901,
485,379,350,428,628,911,497,576,018,105,485,329,673,543,700,273,579,272,920,
587,767,775,141,358,076,605,334,279,922,719,492,968,481,544,911,018,454,347,
790,377,361,537,850,510,774,791,829,042,313,917,279,476,124,490,910,202,930,
639,763,642,010,863,502,163,168,142,404,292,408,711,015,662,470,237,690,765,
651,127,007,577,263,831,482,822,993,396,865,322,157,252,460,312,359,898,960,
599,687,187,993,625,427,882,496,228,471,588,688,345,851,113,489,673,709,302,
715,063,278,322,743,747,024,024,736,670,427,842,072,331,727,201,093,204,677,
982,619,946,427,634,267,145,236,399,386,094,033,265,776,075,602,486,216,239,
236,597,703,500,277,042,050,723,199,687,268,865,889,128,689,780,491,538,892,
363,727,832,812,041,799,845,468,340,073,625,863,788,085,099,489,759,729,343,
373,881,071,736,646,771,724,479,763,794,907,120,490,139,612,994,714,315,087,
786,787,316,300,648,853,336,446,937,870,661,769,151,009,412,135,414,011,240,
881,011,140,401,581,671,783,606,547,677,633,970,985,336,170,775,225,872,870,
784,742,182,809,821,258,214,057,374,144,320,961,394,682,163,022,266,875,126,
823,549,545,788,088,242,893,236,035,389,989,021,857,104,022,683,586,990,289,
412,759,035,653,334,117,469,287,115,954,173,797,708,772,332,513,873,515,531,
220,213,775,385,397,833,570,894,408,828,436,875,469,029,750,717,219,314,271,
205,784,441,939,086,253,944,947,599,969,926,214,602,733,127,636,242,159,055,
101,477,018,650,829,343,206,222,519,165,626,776,444,402,846,619,305,817,526,
296,477,786,386,574,778,322,275,942,987,496,274,904,567,155,653,655,176,250,
646,759,797,708,011,464,037,918,395,674,945,481,190,450,474,510,553,868,748,
852,214,464,282,146,664,101,361,651,838,278,988,403,949,270,873,205,061,746,
430,296,140,401,962,559,774,025,324,636,303,836,732,405,738,577,797,808,146,
413,282,591,424,728,394,819,606,869,363,594,387,204,428,994,853,929,582,527,
949,116,521,136,021,882,891,735,433,922,093,388,267,981,832,901,985,991,898,
583,649,983,440,298,989,622,652,702,836,998,269,114,493,289,741,770,405,670,
292,535,238,707,953,002,723,997,920,794,349,071,018,338,265,231,641,027,765,
434,149,094,990,951,615,742,344,041,067,416,558,542,076,411,564,916,014,483,
672,009,378,441,419,182,896,373,401,024,429,613,966,630,578,293,199,481,176,
424,974,568,801,411,118,960,765,725,050,640,988,669,538,753,002,823,384,552,
436,333,629,857,344,435,416,858,543,157,395,014,162,728,369,567,956,670,360,
087,290,237,901,707,638,201,332,074,475,006,520,343,206,438,607,278,897,136,
194,918,228,279,466,656,157,061,463,736,787,309,785,999,162,779,628,851,596,
488,893,312,533,515,075,646,389,013,495,197,210,765,588,461,947,402,181,805,
230,963,158,593,626,230,776,771,971,475,449,875,861,167,422,325,132,117,765,
204,878,909,514,846,629,466,504,853,265,962,730,764,126,396,111,464,054,696,
538,717,582,880,278,748,081,403,963,748,512,405,190,326,975,075,078,459,719,
062,283,286,943,125,703,275,418,769,002,230,725,797,557,065,921,530,380,184,
923,545,242,737,067,207,204,102,039,849,158,187,337,905,854,125,548,572,070,
554,040,588,226,524,296,463,070,431,706,726,049,344,195,646,738,029,012,814,
625,058,659,904,679,029,694,909,611,211,476,415,083,413,445,011,392,705,105,
581,837,239,447,642,911,583,943,120,133,289,350,193,904,991,307,238,542,897,
863,360,419,404,476,140,518,958,158,957,157,954,727,834,106,551,422,000,527,
252,293,198,454,895,185,380,085,466,016,672,694,518,207,501,432,997,843,028,
139,031,825,464,848,015,665,474,277,426,369,205,941,758,753,671,978,296,014,
663,148,984,694,472,193,319,287,434,729,329,889,346,796,377,779,617,467,463,
967,015,287,196,866,136,622,689,259,788,416,114,975,821,903,378,144,132,020,
498,419,133,654,154,660,113,803,301,432,832,441,307,436,662,788,397,915,468,
864,366,726,001,869,680,680,795,846,614,565,769,878,512,822,621,972,055,305,
707,875,713,745,958,744,001,377,330,145,027,414,575,084,520,818,148,143,502,
955,475,140,671,694,121,906,114,108,201,967,087,225,968,515,748,734,095,118,
105,600,805,748,509,354,950,642,259,293,347,114,350,259,460,144,135,900,323,
252,510,886,321,675,277,463,742,591,246,996,863,304,057,454,325,500,355,498,
690,309,929,750,617,243,682,063,288,337,722,367,094,577,242,421,792,906,701,
036,100,449,570,297,279,629,184,082,875,632,514,661,389,393,858,355,491,715,
485,404,038,932,747,024,540,607,039,305,959,902,748,611,022,148,640,061,209,
125,503,139,386,077,630,730,842,187,489,879,222,570,486,216,382,286,401,021,
827,537,524,989,170,034,559,876,595,658,098,148,001,840,089,587,508,350,400,
966,339,882,660,363,002,973,864,446,186,340,223,780,765,072,223,061,038,211,
535,804,144,386,904,923,600,085,596,908,952,562,383,310,557,195,423,241,938,
162,529,745,402,385,176,179,831,524,066,313,834,491,484,123,249,571,288,372,
682,656,378,556,008,628,363,652,465,845,806,696,605,606,825,018,301,814,407,
973,364,060,317,772,352,391,649,404,903,341,624,379,433,881,476,680,682,848,
129,387,439,768,460,398,331,134,006,247,453,270,019,741,478,597,160,803,905,
192,078,746,751,941,227,783,341,237,362,579,967,103,356,449,560,717,871,412,
191,714,166,433,174,241,301,384,974,606,445,977,670,293,469,803,521,799,966,
356,523,156,059,060,137,651,928,486,835,470,521,994,579,953,545,500,130,000,
087,762,865,042,065,744,698,643,676,863,454,271,628,786,582,787,243,243,623,
521,008,992,976,931,419,095,061,256,143,576,431,490,523,779,989,968,008,803,
741,138,466,016,225,150,241,928,752,947,381,095,654,546,394,092,224,303,571,
129,674,788,604,319,147,951,208,119,076,366,691,094,086,410,174,381,465,338,
639,577,614,906,517,764,650,337,754,303,302,112,894,197,437,599,903,250,036,
846,751,464,601,206,575,147,386,565,769,058,154,887,228,700,917,863,832,590,
985,440,237,336,116,041,283,943,996,005,415,582,745,482,772,083,327,938,217,
215,959,387,936,183,872,197,607,693,633,502,719,386,911,651,636,503,010,563,
625,184,265,472,745,766,893,338,691,719,375,896,270,005,361,786,723,606,960,
265,909,260,593,625,274,954,315,400,965,227,008,246,046,256,709,121,529,241,
797,690,572,724,028,840,352,383,223,108,734,512,643,744,256,343,381,046,771,
586,905,770,397,471,073,827,619,200,924,357,492,426,929,159,755,937,465,973,
648,340,366,165,228,911,363,798,937,225,273,966,043,016,568,465,650,206,357,
229,801,633,404,752,875,509,344,089,489,582,831,409,818,097,343,940,154,768,
524,599,118,311,376,626,586,201,704,371,106,296,858,861,588,157,470,516,311,
960,919,396,811,488,953,286,231,891,366,359,064,117,260,876,495,727,700,814,
338,532,056,432,652,697,143,749,835,606,837,220,941,730,740,699,126,650,177,
852,759,529,845,708,779,906,672,216,840,830,578,152,355,863,902,761,997,018,
287,293,883,111,041,006,938,891,795,150,603,616,926,371,998,795,174,397,856,
586,917,465,383,801,884,850,467,598,798,976,313,154,520,798,158,067,355,856,
334,734,529,937,231,399,870,339,577,259,152,836,289,978,209,634,405,249,147,
068,234,597,534,942,042,553,540,285,669,450,049,993,649,188,619,230,354,776,
505,802,841,715,725,695,504,987,844,301,995,786,700,606,062,506,165,231,993,
363,871,403,560,939,853,780,867,026,360,033,938,870,979,522,655,170,790,344,
800,329,783,825,754,311,625,815,626,980,765,548,886,822,228,943,560,427,450,
684,718,966,405,131,373,724,927,768,701,047,399,107,599,259,123,699,194,836,
611,735,464,372,855,571,071,595,025,483,609,496,087,471,349,819,156,862,425,
279,199,126,551,947,966,275,874,036,713,594,760,556,916,287,573,121,577,986,
504,900,830,406,372,372,495,433,828,783,142,015,892,620,570,556,147,998,863,
577,054,317,165,052,452,543,404,417,414,469,622,363,011,768,924,557,933,055,
920,806,890,126,967,795,265,649,895,835,493,954,147,142,111,679,720,153,847,
474,668,039,144,782,277,953,043,611,858,714,575,831,440,858,615,351,374,719,
861,012,270,584,184,154,351,058,136,250,066,807,873,512,093,831,442,161,778,
442,607,017,571,712,650,780,614,351,457,299,117,561,774,697,579,117,326,998,
330,588,736,794,537,872,420,825,751,608,089,003,422,250,903,867,064,577,480,
128,133,648,543,967,685,761,890,548,563,209,258,113,607,272,680,931,667,313,
795,972,303,474,897,523,747,885,040,013,623,741,455,238,049,244,002,993,599,
730,879,430,066,189,823,039,929,373,203,793,642,713,770,584,383,780,122,357,
123,893,147,164,624,296,437,337,430,318,983,116,101,886,444,219,692,439,681,
856,374,924,687,649,653,640,824,812,945,649,291,828,554,918,088,487,114,343,
016,984,822,267,174,191,181,151,635,493,295,507,595,889,893,875,365,316,670,
368,860,867,883,123,013,746,091,125,850,421,035,046,324,842,918,661,119,246,
809,806,566,426,973,769,400,145,921,601,840,504,942,131,555,091,014,198,857,
807,973,493,221,932,471,016,858,125,451,026,703,294,807,392,657,257,766,307,
973,673,460,703,931,657,275,971,360,923,870,984,565,824,453,716,998,544,135,
188,889,938,219,698,320,039,137,813,960,410,183,859,223,326,160,550,781,490,
186,162,820,322,561,394,882,747,940,925,469,761,719,997,498,734,307,412,778,
498,546,711,759,348,379,452,400,998,191,342,411,634,227,033,623,109,451,244,
830,738,134,715,253,909,987,926,907,232,007,806,963,764,036,483,024,749,269,
271,635,800,887,459,876,393,979,999,638,492,281,215,730,038,161,006,577,598,
192,939,251,593,004,482,610,563,979,813,571,486,799,143,566,157,752,597,095,
673,880,897,291,510,943,693,008,146,034,484,713,748,707,416,200,033,660,806,
763,250,994,441,723,303,745,951,107,743,093,505,156,603,356,890,198,392,201,
778,037,227,110,104,200,130,400,542,974,940,530,676,918,512,884,733,135,141,
479,201,694,949,672,589,661,242,970,208,592,513,389,232,274,838,394,480,006,
137,385,321,333,964,198,410,469,467,205,279,509,596,152,076,346,182,184,372,
066,046,724,987,310,335,963,905,150,372,913,182,239,649,858,293,394,982,462,
270,922,993,181,101,338,229,376,413,725,346,288,427,464,762,385,736,486,467,
857,187,384,805,130,538,327,350,679,675,530,414,522,130,954,164,285,208,652,
565,918,189,309,536,358,654,073,465,639,881,391,571,649,628,970,203,490,048,
409,382,270,524,217,210,492,100,412,858,145,424,594,164,288,101,740,376,071,
686,636,297,688,590,548,699,791,134,586,636,243,153,427,196,803,302,425,227,
251,854,078,572,165,921,366,972,827,084,545,004,462,064,134,240,851,056,670,
538,163,684,121,448,017,291,443,038,156,967,830,005,424,279,114,488,396,871,
292,980,518,780,044,445,378,623,541,599,382,218,136,976,055,312,412,556,595,
979,179,289,422,000,152,625,989,215,348,973,572,543,267,002,718,096,833,636,
688,985,173,919,862,391,653,151,442,003,298,376,979,616,135,144,104,759,563,
599,178,981,310,111,720,678,336,489,973,012,262,658,150,139,847,097,574,050,
968,837,018,950,932,094,275,997,735,002,312,545,931,923,001,311,973,492,940,
177,263,034,426,431,405,852,016,584,180,243,681,810,700,721,284,872,863,441,
606,545,275,574,643,913,070,763,834,166,089,134,801,459,828,156,645,472,745,
824,827,764,075,212,263,746,969,340,983,052,516,248,504,357,143,561,070,277,
634,734,005,827,975,605,998,289,570,851,809,813,647,761,294,147,798,680,991,
389,140,002,424,868,921,377,377,386,747,847,833,797,333,623,192,967,987,271,
380,048,396,089,737,117,758,471,705,225,569,524,358,337,127,205,051,690,415,
764,184,752,900,842,735,328,784,870,877,883,251,259,862,514,303,054,085,888,
409,012,949,944,389,228,823,057,940,377,388,826,353,873,218,642,598,276,906,
995,684,988,877,662,472,021,297,255,420,178,030,434,832,236,482,565,733,937,
067,965,907,410,211,614,262,199,109,748,030,160,834,902,216,156,800,660,806,
826,565,465,300,845,041,053,402,274,903,119,499,373,881,390,183,168,738,845,
128,197,753,617,095,358,351,894,363,520,300,791,756,581,027,520,804,815,097,
692,190,167,210,863,677,682,022,576,355,628,893,463,950,700,499,439,798,684,
058,836,088,774,043,573,640,855,495,679,318,512,307,936,839,585,432,786,896,
294,826,442,775,565,211,620,436,840,434,171,509,703,692,006,938,630,420,427,
724,269,661,567,168,822,017,530,875,168,540,146,978,291,729,790,789,477,460,
011,168,632,733,279,885,213,523,026,462,287,606,153,375,856,757,558,891,044,
540,837,172,152,449,933,815,486,097,603,691,522,965,432,858,946,327,141,572,
390,469,914,265,926,604,330,828,366,594,706,642,116,932,865,092,179,385,651,
658,914,550,455,196,390,503,342,388,945,541,188,380,687,916,784,728,114,366,
170,615,164,625,178,909,541,015,028,206,300,858,576,719,007,942,950,477,508,
644,697,895,377,082,629,422,248,628,026,176,167,622,281,104,915,914,881,004,
993,380,486,404,621,475,239,449,084,987,098,495,535,049,316,185,810,562,639,
412,588,188,644,751,501,529,810,471,369,830,379,581,296,533,374,162,041,902,
683,525,259,565,464,661,009,092,472,037,325,402,766,787,699,843,629,753,844,
761,635,340,355,784,754,714,287,970,254,686,468,114,697,864,091,043,885,961,
068,571,508,907,840,840,347,016,969,732,168,866,819,443,443,542,299,725,904,
015,372,822,617,228,477,774,199,894,839,189,831,114,891,914,708,202,301,243,
678,477,988,938,766,466,411,770,520,015,042,698,272,583,087,991,508,840,099,
773,724,515,947,131,908,094,886,792,324,785,570,278,541,875,201,187,065,368,
478,213,180,501,944,721,079,778,833,211,641,780,256,036,690,579,975,945,813,
710,173,019,703,813,366,334,159,439,610,068,841,463,706,510,509,058,826,145,
212,078,281,562,146,752,587,940,390,922,755,692,478,799,302,529,970,232,745,
561,677,803,503,245,209,256,101,113,156,500,056,720,505,494,844,093,467,666,
361,054,293,457,743,593,001,457,374,853,499,753,877,539,782,639,092,796,147,
303,160,183,190,590,165,558,342,295,479,552,842,395,776,265,377,942,363,992,
877,806,988,084,340,583,124,869,295,940,652,485,677,715,338,648,026,612,022,
144,088,110,206,306,936,454,947,762,136,466,636,314,524,224,683,547,164,546,
279,848,633,879,985,372,312,838,196,770,050,621,969,324,029,720,878,518,216,
329,272,426,610,230,986,779,652,921,626,612,293,391,978,501,827,134,004,013,
979,901,730,818,781,917,562,442,729,584,650,972,318,827,320,650,919,162,431,
495,782,300,343,741,380,858,537,274,012,807,185,185,142,731,353,303,129,691,
104,528,759,454,637,437,284,378,508,326,564,461,578,010,159,229,992,553,623,
000,635,351,875,785,680,481,331,028,950,429,175,176,860,004,658,056,782,273,
381,526,136,943,420,487,756,851,712,002,834,920,989,180,635,908,328,429,956,
243,312,023,109,116,066,140,039,252,839,404,614,309,523,943,879,200,716,214,
971,859,962,481,314,299,398,506,692,049,741,785,552,860,224,575,666,284,993,
077,047,369,756,704,675,658,565,057,735,184,691,952,699,811,023,451,243,753,
405,344,142,531,806,890,478,619,268,281,488,207,693,846,263,331,571,407,766,
633,982,218,073,318,710,829,123,634,144,737,542,681,556,573,787,217,871,756,
586,172,959,521,567,012,995,310,649,749,469,984,252,119,288,185,330,919,694,
231,171,784,318,696,371,278,046,406,254,875,652,033,833,736,881,773,483,777,
644,084,367,150,991,224,093,785,716,627,925,984,641,922,342,869,346,771,930,
302,228,386,534,353,965,295,365,061,295,326,059,001,309,351,472,210,453,357,
895,315,631,755,537,934,544,882,256,087,158,142,773,519,564,646,944,281,231,
368,247,329,208,621,619,001,647,897,748,484,976,567,559,765,251,635,190,406,
889,997,503,924,220,134,952,139,986,258,093,441,543,502,971,255,144,703,676,
354,782,440,472,017,942,702,270,192,371,021,551,130,925,629,791,429,686,239,
423,307,468,018,201,635,961,231,786,563,239,170,694,581,933,956,394,755,820,
221,309,684,587,574,316,996,291,252,575,687,774,438,035,568,578,065,833,443,
128,579,657,880,933,837,704,043,466,424,299,276,845,127,813,011,630,970,063,
617,743,032,213,305,402,274,221,286,268,463,157,801,750,451,267,324,586,046,
618,958,517,655,612,302,775,811,528,262,069,252,094,767,439,453,188,482,943,
632,325,574,386,669,110,626,318,127,944,674,561,193,476,446,117,403,473,869,
112,538,931,388,866,123,912,575,630,088,541,305,057,888,032,130,876,653,579,
579,894,504,985,905,972,787,966,583,340,583,450,888,775,400,333,555,327,024,
443,894,521,937,963,611,537,576,283,725,301,902,729,615,606,134,253,136,107,
070,323,054,144,108,405,407,581,606,264,055,819,467,241,584,387,281,917,717,
940,899,050,268,189,044,449,706,196,933,711,644,171,797,702,059,197,253,221,
906,948,676,556,556,018,294,000,842,671,788,546,980,943,575,052,657,086,145,
589,776,791,321,163,566,127,820,678,781,717,819,479,177,161,877,762,978,033,
917,330,499,568,243,041,557,035,320,921,896,646,374,388,392,919,618,001,846,
392,228,504,654,933,890,143,361,549,904,753,304,635,395,799,857,575,104,484,
612,301,166,134,797,736,999,094,589,815,364,971,811,082,268,920,579,695,916,
739,712,281,176,175,159,454,317,617,694,297,105,652,229,709,901,558,115,359,
614,192,077,546,988,198,795,074,251,455,739,584,657,961,830,748,817,726,729,
335,678,781,806,429,327,100,652,398,388,462,227,644,003,644,659,831,079,930,
409,187,892,742,964,461,566,038,559,996,424,097,937,932,546,143,510,940,503,
516,062,308,193,625,120,816,703,552,434,546,595,467,039,034,598,654,730,770,
359,192,041,330,220,125,181,873,852,857,362,374,512,802,442,108,916,769,456,
650,541,059,527,613,991,896,234,806,757,733,029,991,237,128,325,126,686,341,
778,107,375,578,485,108,772,684,646,270,914,761,326,582,129,062,571,427,716,
949,139,881,429,246,646,870,443,966,774,204,775,883,177,524,366,539,146,241,
810,906,513,306,055,761,337,239,214,483,402,464,641,701,559,041,317,561,911,
306,917,327,743,344,847,455,360,315,354,579,963,922,498,970,151,961,938,302,
055,447,260,544,869,192,899,019,891,600,066,761,690,212,024,775,879,396,112,
945,831,732,408,550,429,769,094,407,573,868,835,164,057,510,509,834,113,461,
045,020,647,860,392,968,771,493,325,589,281,367,576,863,794,491,501,087,778,
185,820,723,994,769,634,114,565,958,290,591,231,972,363,143,981,900,890,196,
419,202,609,510,731,747,548,206,717,377,852,738,144,962,562,452,421,798,173,
388,379,373,036,213,846,645,022,437,664,164,185,761,801,869,105,529,539,618,
793,255,253,260,926,546,568,507,373,311,398,147,886,329,542,301,844,526,774,
198,910,748,622,930,955,246,266,942,573,340,781,100,517,580,666,418,915,211,
730,175,854,461,081,289,850,214,584,234,835,116,773,201,535,500,568,294,330,
216,436,022,278,273,040,954,403,916,383,664,851,985,586,083,998,019,308,354,
104,256,244,601,590,046,499,029,720,395,828,664,966,734,938,160,328,805,945,
409,297,583,332,600,009,333,282,074,054,294,104,498,782,706,250,869,374,817,
753,162,371,946,136,932,338,303,385,659,918,488,106,033,953,168,385,241,177,
001,290,059,251,828,514,084,516,052,255,444,726,010,855,739,712,136,628,393,
200,968,693,613,522,555,612,273,543,021,213,758,368,203,523,822,480,159,140,
020,517,491,229,160,872,297,759,595,948,662,683,629,884,182,914,123,600,833,
515,114,704,296,964,375,125,279,985,133,778,430,723,546,765,062,580,874,722,
209,626,233,151,864,081,033,955,305,254,302,801,389,520,511,144,547,413,365,
092,182,692,439,765,479,058,779,635,406,545,274,834,864,222,208,174,389,639,
273,451,699,281,253,125,706,346,129,870,549,314,017,854,568,379,234,966,487,
784,387,794,286,325,091,839,598,253,128,506,051,124,719,273,353,122,504,361,
509,408,831,534,932,740,487,533,344,663,299,929,370,764,215,062,271,526,216,
908,180,878,088,834,165,715,332,237,766,411,601,909,322,036,028,187,981,168,
185,739,825,886,626,488,943,472,855,522,809,185,213,204,981,217,488,641,796,
822,987,038,022,570,937,847,053,035,200,562,637,647,334,061,860,944,518,440,
224,613,304,895,136,358,953,505,638,796,778,160,300,680,467,978,946,768,395,
759,011,856,345,109,824,389,861,361,416,795,522,357,641,892,815,183,638,916,
486,699,318,405,681,881,299,786,418,306,715,199,668,923,042,057,801,704,585,
203,546,303,027,943,445,628,782,886,530,258,388,929,339,453,310,630,011,702,
316,553,731,481,211,729,495,656,763,160,001,237,084,087,526,063,024,282,776,
113,184,244,571,011,203,671,594,331,540,643,573,499,054,379,372,226,443,666,
661,516,727,056,089,356,238,102,481,942,858,960,311,098,344,740,153,231,834,
966,469,588,298,325,855,089,709,275,234,424,347,622,685,402,715,640,870,785,
620,949,592,706,904,045,024,082,771,040,406,704,848,032,321,855,023,287,149,
791,660,079,690,011,718,776,008,157,695,440,200,185,660,922,306,491,735,250,
971,560,016,876,677,905,333,970,532,628,621,320,934,367,571,460,416,101,781,
227,479,215,988,609,045,675,287,857,021,030,355,039,761,819,038,970,570,103,
526,645,746,715,362,573,629,546,447,319,453,899,607,537,550,213,699,611,143,
721,266,790,505,359,626,345,060,072,571,725,385,140,997,868,135,796,538,825,
107,834,938,735,201,290,910,551,347,259,082,553,027,939,747,628,650,100,869,
298,898,088,468,609,733,052,609,976,904,058,731,607,896,020,281,260,525,799,
003,021,546,177,689,066,364,832,933,105,374,732,958,584,167,743,634,580,393,
835,935,198,617,884,692,382,584,674,116,156,910,924,373,649,625,908,366,543,
760,863,368,900,680,527,656,425,090,225,762,373,537,374,229,558,589,091,964,
680,560,975,150,865,236,292,606,875,547,389,686,997,792,336,853,764,923,370,
763,742,220,975,159,665,965,910,767,097,908,269,120,192,975,300,252,487,895,
151,681,389,851,608,632,007,003,647,643,923,965,301,352,006,765,807,678,841,
464,761,813,114,299,112,433,032,302,290,702,609,181,611,146,321,872,814,198,
561,515,556,990,536,147,521,251,467,379,508,837,997,333,536,484,433,130,236,
248,920,099,044,400,772,494,975,305,614,757,897,004,790,893,863,795,782,832,
935,585,963,357,758,454,115,563,962,147,679,024,995,088,655,210,067,638,819,
073,319,448,812,011,164,384,097,963,282,950,288,563,544,453,640,401,508,957,
107,360,362,597,306,534,326,425,074,040,596,428,700,483,486,427,598,434,239,
166,749,949,321,872,267,769,297,446,738,683,842,034,284,293,459,217,747,934,
511,045,348,788,305,745,271,479,236,349,621,037,584,881,522,846,828,109,445,
236,403,968,430,146,832,160,172,924,926,618,128,872,183,812,254,981,467,601,
404,111,642,445,582,909,309,122,782,475,377,570,558,559,558,633,354,650,963,
019,973,711,249,342,779,362,982,341,767,801,801,469,861,648,391,992,092,710,
452,148,436,303,420,175,262,296,118,869,175,197,601,761,198,926,374,620,897,
715,061,846,223,487,902,381,537,866,200,130,541,540,811,350,954,114,391,326,
684,587,300,018,118,395,585,309,493,745,461,347,786,318,384,053,665,484,437,
218,186,723,688,568,035,705,981,434,078,331,059,088,390,230,455,441,998,856,
242,721,453,294,200,602,235,953,785,427,206,226,549,130,098,134,481,803,053,
529,820,491,326,277,172,386,904,688,907,512,994,756,220,747,328,904,618,165,
772,340,070,456,798,792,339,762,226,088,183,052,360,929,874,910,132,979,263,
565,785,625,451,972,400,559,044,046,031,830,148,422,008,401,592,165,068,310,
726,077,923,105,665,312,206,615,366,370,852,185,691,650,435,474,405,456,456,
150,731,848,411,283,955,789,164,276,380,817,301,111,747,967,013,901,028,994,
913,337,461,597,717,929,115,060,979,108,277,744,726,543,240,839,818,174,608,
021,813,038,862,934,294,530,327,325,321,876,980,401,526,482,385,961,946,169,
910,422,646,708,022,881,188,466,759,395,901,442,500,383,898,317,666,972,408,
626,436,672,682,334,549,886,375,326,085,379,789,434,386,315,577,699,444,711,
555,722,932,458,324,086,497,916,446,095,098,491,724,763,994,871,723,554,546,
464,447,665,540,939,428,718,394,985,888,382,710,953,209,038,200,319,084,160,
513,804,183,286,016,614,713,242,876,346,918,402,676,515,870,429,310,903,520,
659,400,002,601,298,696,452,675,998,523,170,117,452,821,482,438,368,457,705,
970,795,834,656,299,063,195,084,854,655,653,041,176,587,783,265,628,705,814,
288,379,715,605,866,855,974,630,945,424,467,796,573,918,633,763,415,359,234,
848,311,929,292,771,433,341,252,788,743,521,894,132,157,362,522,359,820,252,
746,456,682,023,804,131,176,048,752,961,043,274,823,951,573,688,895,548,030,
210,635,416,621,051,775,622,034,006,050,734,647,151,709,726,239,968,133,657,
777,689,070,043,525,457,270,605,476,140,264,653,602,419,332,982,264,820,628,
958,560,208,418,467,945,814,372,392,047,107,279,317,915,816,755,782,362,400,
051,360,107,018,555,348,697,698,642,243,231,077,825,843,848,315,987,381,718,
811,137,298,144,322,121,441,486,715,515,911,190,982,498,324,573,882,083,185,
017,396,330,534,327,683,864,320,869,054,159,682,742,731,661,045,044,561,176,
483,803,962,000,081,190,599,867,741,995,764,721,274,107,584,910,690,316,116,
083,397,871,773,916,823,518,422,222,096,279,579,847,066,339,733,222,407,287,
084,507,096,827,731,602,952,068,249,910,583,555,065,988,429,918,074,068,380,
676,038,382,627,478,018,859,130,682,999,546,615,972,475,701,888,617,263,134,
965,481,074,698,007,429,179,789,066,487,324,805,854,961,405,969,500,749,146,
976,157,973,436,768,739,449,508,482,748,529,937,522,999,295,998,386,775,299,
557,572,266,929,482,320,740,849,869,385,681,191,575,130,440,068,890,533,262,
893,836,413,260,014,176,821,457,889,899,217,239,890,285,121,192,589,994,789,
455,414,632,042,263,976,666,056,854,341,820,135,954,536,575,030,355,667,053,
515,904,236,576,749,574,816,201,430,248,251,364,352,702,150,625,150,255,811,
219,475,499,276,234,124,429,501,826,765,213,445,790,565,255,929,784,599,693,
218,204,842,927,521,160,877,374,771,890,040,307,632,753,510,176,100,019,965,
297,449,269,527,716,337,247,319,475,685,526,145,323,966,766,191,806,549,022,
908,601,286,149,541,660,804,599,011,794,686,365,653,281,956,077,918,098,486,
251,078,496,724,303,067,043,378,839,473,628,945,522,306,647,911,069,912,040,
792,939,525,883,084,174,027,298,016,159,192,484,541,016,683,712,841,821,622,
267,811,251,735,852,865,939,246,892,974,901,252,109,318,932,832,151,031,238,
639,461,500,190,415,574,499,611,383,248,581,809,815,186,271,133,497,881,334,
010,399,714,476,695,051,805,900,575,848,161,355,995,196,604,189,154,564,500,
571,872,606,721,247,332,851,458,867,195,570,810,918,937,014,832,231,130,255,
237,402,957,383,034,889,490,933,113,237,708,252,755,361,945,268,958,054,583,
884,759,892,328,123,123,548,879,818,400,649,668,477,523,982,559,976,747,913,
133,441,981,861,338,035,381,717,123,083,812,835,750,598,497,775,463,900,198,
458,832,805,470,455,872,863,504,238,513,657,569,284,976,739,111,964,603,560,
836,456,701,186,191,331,629,015,637,220,884,968,355,424,897,240,682,518,104,
949,689,578,812,529,704,297,301,123,605,431,377,986,683,766,264,843,910,299,
809,610,959,835,763,787,283,451,271,993,108,681,953,390,120,493,088,190,184,
636,967,541,745,814,523,636,109,710,355,900,533,504,133,589,483,582,165,056,
791,368,757,930,480,031,801,166,441,995,746,265,324,046,729,381,739,888,852,
895,835,279,190,263,834,138,877,030,496,708,975,497,471,632,180,433,542,313,
935,122,473,217,930,341,299,850,813,191,949,094,238,020,140,374,794,194,553,
315,966,064,563,546,997,461,831,463,131,214,625,832,413,401,313,437,258,245,
968,830,105,888,043,097,163,451,716,876,429,701,688,411,054,678,654,259,824,
967,329,523,603,754,794,222,784,307,511,320,216,804,490,425,075,163,652,513,
792,930,673,955,075,290,074,537,738,164,253,406,479,280,828,808,290,225,626,
937,656,484,402,260,100,354,297,762,043,646,780,536,369,815,722,662,025,123,
338,464,769,924,945,163,800,105,573,445,355,122,928,537,795,508,238,498,227,
743,904,685,095,789,496,838,467,845,158,398,583,573,878,995,341,117,467,310,
040,260,276,594,798,732,497,566,619,619,953,592,589,993,560,183,703,262,054,
949,497,693,698,964,921,242,823,104,880,331,423,082,221,746,621,101,469,946,
415,762,743,801,868,359,642,382,188,042,885,097,110,857,167,229,232,016,076,
977,080,653,046,872,692,251,376,297,479,494,681,042,495,137,163,993,909,895,
808,314,279,947,751,196,520,524,359,452,501,681,997,122,898,467,138,518,942,
399,700,580,414,131,383,586,304,194,244,865,035,851,316,228,123,935,991,657,
893,335,783,061,723,735,729,535,230,166,855,055,963,078,638,879,579,416,937,
991,971,672,493,642,990,290,037,281,403,050,776,505,558,294,317,432,932,423,
659,697,536,818,078,694,382,267,220,618,491,720,977,092,979,039,002,400,816,
967,710,968,959,221,838,723,084,993,450,780,710,581,775,830,186,778,070,868,
990,646,056,780,463,212,801,668,962,958,604,031,971,037,646,996,944,918,086,
855,618,618,526,947,298,935,049,271,331,869,925,348,157,469,643,257,062,812,
386,766,746,960,334,225,726,764,755,637,236,800,629,358,539,658,364,807,693,
491,750,357,997,313,400,944,247,795,696,647,809,556,825,246,406,741,093,225,
594,126,063,488,809,634,025,646,294,083,792,784,286,141,226,995,536,685,964,
825,691,164,863,618,150,200,544,227,941,967,102,785,388,677,387,471,371,614,
002,510,870,825,107,796,504,010,481,637,928,854,055,176,733,901,497,334,331,
402,859,371,655,403,796,915,363,388,714,570,760,495,857,937,580,915,143,133,
472,841,303,600,704,579,436,880,570,106,697,069,931,350,102,665,852,285,581,
159,554,187,322,723,674,094,669,812,750,215,416,391,058,452,875,413,275,013,
115,147,044,883,442,322,973,476,321,936,152,533,537,903,843,983,165,118,075,
628,383,565,746,457,400,552,211,547,739,971,903,478,890,559,247,157,557,631,
870,153,764,133,314,878,910,771,316,228,184,267,746,843,362,351,041,858,029,
740,598,476,263,818,599,678,449,932,539,889,095,572,002,658,639,952,190,229,
009,133,372,639,056,138,549,861,402,384,235,351,889,559,646,058,828,021,823,
428,991,654,470,398,967,909,968,288,875,214,386,233,152,745,682,474,692,340,
670,088,416,036,921,486,887,788,181,655,171,408,081,489,013,588,804,071,398,
830,319,877,758,585,563,468,987,586,931,721,278,874,179,762,717,718,570,699,
021,043,875,584,318,640,127,774,876,214,323,113,623,357,944,844,602,292,818,
258,160,462,938,219,992,898,610,852,411,800,993,461,032,117,240,433,596,488,
435,449,365,956,362,610,462,495,472,574,529,571,713,949,419,783,484,540,627,
418,517,140,074,223,944,425,930,358,678,190,146,782,835,334,723,705,309,153,
262,638,985,076,651,186,042,569,378,631,277,797,124,103,356,587,341,654,556,
608,916,627,146,699,610,725,201,093,089,235,693,934,669,340,357,583,144,146,
240,394,986,673,902,316,918,926,842,946,196,632,168,557,661,083,332,248,050,
109,068,261,745,059,954,655,053,174,380,035,408,360,579,399,846,299,182,058,
243,832,373,536,777,376,062,037,976,945,426,834,071,784,875,373,354,206,902,
347,962,047,653,997,436,086,627,062,420,960,490,336,722,615,657,829,715,174,
185,758,999,231,035,106,145,507,186,387,973,488,114,775,080,073,283,045,858,
455,063,541,120,377,466,648,390,317,281,666,488,353,111,666,853,267,595,269,
721,972,393,246,464,132,775,965,720,002,934,113,400,013,374,214,355,186,088,
310,713,897,817,546,114,006,962,821,300,992,044,260,010,745,333,475,353,065,
560,905,600,468,831,753,550,475,753,997,400,250,535,942,383,775,491,671,687,
998,807,403,713,410,186,432,911,224,501,577,177,757,901,925,613,471,152,496,
017,897,139,893,868,314,558,015,201,986,680,650,399,569,043,306,087,983,326,
042,937,382,179,794,485,332,493,719,437,009,636,113,421,205,342,484,741,423,
213,969,366,152,820,561,780,365,664,394,686,181,411,563,738,405,696,056,780,
348,165,721,229,656,197,074,582,624,091,020,278,697,528,525,888,283,829,659,
228,680,296,164,410,275,477,849,852,099,877,001,945,629,670,643,826,698,398,
179,587,809,119,041,376,418,927,241,632,493,233,853,007,119,914,769,841,141,
318,495,427,804,787,653,403,207,956,375,126,018,967,320,843,330,974,863,257,
730,533,137,259,445,022,939,969,597,661,783,503,307,495,793,132,413,737,593,
790,348,232,438,329,930,112,003,933,469,286,635,800,440,027,594,511,397,691,
622,255,477,036,559,667,126,812,146,819,536,506,445,344,056,894,307,231,277,
444,966,631,982,258,112,105,430,396,804,339,884,382,580,161,284,612,682,385,
237,211,201,799,683,789,689,408,875,913,528,199,737,625,708,100,441,023,393,
043,818,296,771,969,799,952,567,331,705,269,128,859,285,757,651,296,616,512,
366,794,142,385,438,853,682,614,842,760,920,356,325,842,589,164,020,553,937,
346,879,314,936,286,283,752,361,878,186,255,041,244,297,978,467,824,881,207,
383,558,841,047,811,910,503,843,380,266,346,680,661,745,255,211,178,113,377,
851,489,993,046,429,330,046,205,949,835,813,054,623,707,545,728,922,777,607,
451,827,479,539,564,199,364,271,890,633,482,883,530,852,936,503,990,338,381,
764,613,136,608,553,469,759,309,939,090,796,014,518,563,231,694,676,586,161,
058,335,178,349,350,517,648,369,000,039,098,737,232,428,883,100,801,832,020,
041,780,374,580,082,726,054,603,605,496,747,121,085,111,002,789,396,894,002,
993,565,263,851,996,543,817,371,773,653,015,545,963,664,423,902,609,967,078,
923,419,292,980,925,417,771,649,111,986,820,971,646,646,376,235,440,595,275,
613,536,438,595,195,373,235,410,565,650,188,314,566,704,789,210,605,681,492,
746,403,299,302,044,998,146,643,710,907,129,687,394,763,566,663,025,081,739,
580,786,208,275,960,943,764,396,131,793,650,736,169,408,472,344,617,163,712,
339,017,926,075,627,710,568,301,914,530,028,519,899,334,210,639,927,121,971,
940,995,233,946,319,833,993,436,014,248,828,749,398,525,700,256,197,802,639,
866,234,567,846,146,505,680,030,877,586,929,054,810,491,622,254,877,066,990,
547,519,002,888,486,966,290,835,536,373,456,495,783,643,717,287,704,104,028,
309,826,431,984,878,081,569,020,640,899,152,794,881,991,722,213,378,084,008,
763,180,102,837,403,051,246,445,121,434,666,057,678,842,549,188,345,776,660,
066,826,250,501,021,512,143,546,264,560,238,101,333,739,053,476,419,024,507,
718,873,937,932,500,117,952,164,521,007,577,125,022,125,988,911,042,506,851,
335,657,347,566,915,851,903,813,935,672,947,831,527,965,341,282,338,980,085,
739,061,348,364,639,540,854,294,493,222,927,284,873,142,864,997,313,923,810,
906,503,426,929,079,392,899,011,568,629,911,003,086,804,933,566,143,721,798,
097,644,860,842,900,000,675,187,581,947,826,312,969,414,675,410,790,938,155,
231,422,961,585,985,119,466,912,364,420,909,830,063,403,219,828,626,615,624,
175,725,521,797,209,794,500,646,667,517,466,753,033,445,202,914,818,397,669,
384,628,123,237,982,402,197,525,060,236,524,074,325,722,207,582,655,561,314,
565,803,880,567,282,960,001,555,429,765,566,381,292,313,122,524,443,317,362,
711,028,385,583,749,700,974,934,778,827,062,875,304,723,151,346,557,802,249,
388,720,006,370,968,326,126,077,723,530,827,306,190,548,275,063,694,717,003,
357,096,293,436,495,294,832,533,705,989,440,820,889,796,993,158,731,917,858,
391,876,975,288,209,177,229,551,748,994,277,696,225,003,495,544,781,522,919,
155,562,798,856,022,605,064,539,090,154,343,982,242,612,147,415,381,870,008,
054,338,080,140,113,616,417,765,549,865,819,838,365,361,711,629,794,142,949,
920,085,384,884,676,725,403,281,393,781,896,301,938,007,604,834,523,744,105,
501,679,829,455,275,200,436,330,150,688,618,478,601,480,475,889,234,111,506,
770,282,503,554,270,222,835,474,262,141,511,950,598,742,920,178,054,415,350,
654,255,812,678,326,444,537,854,981,990,221,157,608,485,121,281,633,256,627,
120,067,445,390,567,278,092,538,736,426,504,707,684,456,904,321,263,327,463,
887,563,170,706,156,849,697,835,968,170,082,611,020,079,025,419,433,394,583,
116,796,174,950,661,339,090,456,511,107,156,109,948,286,374,737,915,731,779,
663,796,700,144,819,026,321,575,625,791,990,033,904,945,643,464,066,854,939,
077,469,404,663,339,147,150,730,074,261,219,293,554,870,972,260,766,235,350,
798,059,506,572,302,754,583,937,601,117,568,005,868,592,379,303,734,635,415,
465,487,947,209,758,751,014,202,443,013,465,372,384,626,423,805,308,706,111,
835,173,462,166,033,590,021,403,215,739,829,115,190,394,243,997,601,460,824,
937,776,666,525,228,429,703,792,120,255,563,852,396,629,963,419,764,702,333,
957,003,255,595,156,307,813,522,908,298,607,605,027,436,450,951,413,993,051,
568,856,553,640,931,016,485,461,528,822,376,281,053,401,130,210,293,564,534,
533,868,203,048,282,889,087,792,308,598,759,260,949,620,255,416,615,029,559,
526,752,573,524,136,019,019,907,919,000,887,535,694,540,894,299,732,196,311,
238,604,250,911,999,955,015,794,722,238,686,703,589,104,496,346,747,459,267,
604,085,541,647,781,325,553,365,739,561,190,861,010,053,545,117,082,579,251,
840,441,993,892,544,300,703,352,472,775,235,819,716,554,435,039,869,820,537,
546,379,134,576,719,784,401,227,604,039,409,501,492,818,541,379,591,743,148,
959,578,668,928,474,686,697,164,868,865,248,820,430,514,280,385,244,548,055,
962,076,440,701,996,784,118,556,018,639,153,452,883,629,382,726,100,450,641,
705,258,918,794,457,684,003,753,791,436,998,540,258,564,949,441,779,907,977,
106,325,625,204,530,273,703,094,855,028,403,049,244,576,536,822,708,804,132,
746,349,539,939,339,341,355,877,815,770,541,816,899,350,564,779,326,137,935,
478,663,902,900,929,965,217,002,255,832,869,590,248,270,413,124,798,243,835,
419,614,592,810,881,177,136,132,048,357,649,390,025,921,710,688,392,676,444,
557,263,152,839,504,464,164,427,853,407,392,250,153,393,417,696,013,410,613,
213,184,933,724,117,830,643,905,016,749,571,086,917,555,013,693,112,127,663,
173,973,040,432,386,121,128,584,761,136,954,244,886,464,816,079,873,993,592,
071,685,597,241,277,635,015,600,677,221,625,602,449,644,948,642,458,752,487,
429,679,504,949,724,238,189,019,510,842,546,510,558,177,198,096,001,588,943,
409,004,453,896,729,429,986,258,196,772,872,874,604,683,936,499,448,215,052,
078,948,107,741,494,009,299,107,435,189,753,734,523,779,608,179,815,510,566,
156,743,479,723,002,978,074,481,616,466,230,326,394,187,100,170,515,924,010,
106,971,497,005,922,562,076,464,659,434,539,085,704,430,833,314,159,271,382,
025,757,160,528,591,957,070,302,824,701,999,833,618,867,720,362,185,818,683,
525,107,242,502,145,076,278,624,822,433,865,830,131,244,766,855,480,467,378,
500,108,436,307,751,779,421,871,914,323,965,205,921,833,031,323,152,473,121,
761,037,578,254,121,551,737,457,592,017,814,813,870,435,932,798,950,366,738,
064,424,712,123,494,969,317,295,434,800,792,661,996,219,542,610,949,004,350,
118,936,051,783,787,229,316,445,364,229,061,540,709,294,746,607,566,825,903,
240,776,057,903,379,163,056,327,960,704,491,964,511,676,761,788,114,651,011,
851,589,231,839,013,010,496,359,222,781,335,910,097,046,968,435,640,135,518,
260,201,893,983,974,662,566,097,121,401,983,263,938,009,282,935,921,558,750,
307,676,017,058,334,608,719,860,467,192,598,391,509,180,735,300,535,559,624,
347,800,225,765,271,503,148,641,112,445,946,664,210,473,543,393,058,740,454,
038,269,517,793,205,706,946,859,805,751,954,030,521,806,729,340,763,342,732,
770,683,467,737,230,722,676,426,756,470,710,757,436,493,199,207,053,647,593,
077,348,168,172,276,575,453,454,438,986,623,006,666,300,849,510,835,732,349,
867,769,826,536,133,129,103,008,980,715,382,567,663,727,056,692,563,102,110,
873,772,954,568,798,569,537,233,959,642,638,556,446,144,540,649,264,032,818,
452,143,320,379,656,580,909,847,396,677,434,163,704,068,070,732,368,832,480,
805,363,086,118,120,063,017,959,944,379,241,216,337,793,632,659,312,662,952,
711,232,556,528,271,504,944,065,871,747,089,961,592,649,649,974,663,212,245,
227,479,494,066,760,600,419,809,015,206,160,089,784,255,636,299,500,851,357,
206,867,251,524,352,312,336,116,568,593,221,646,642,032,931,062,256,698,619,
157,262,563,610,055,827,731,153,939,203,306,882,680,276,358,551,731,124,805,
083,576,282,778,757,881,161,546,101,687,251,828,539,332,855,904,129,756,040,
749,893,937,760,231,940,934,185,421,877,135,924,565,014,555,582,912,239,411,
910,858,671,637,190,196,999,913,042,791,473,492,427,881,118,787,954,985,483,
156,160,657,060,153,519,438,597,145,398,199,757,809,202,609,705,413,108,826,
263,521,159,267,036,826,583,069,272,248,827,722,790,135,117,400,702,577,622,
619,300,664,463,085,313,480,245,311,724,912,309,998,772,813,065,284,048,378,
443,103,159,181,648,556,958,836,320,745,469,420,819,323,029,253,586,187,088,
176,005,106,151,078,625,573,839,617,663,749,307,517,396,079,626,377,426,620,
572,337,903,360,326,478,681,244,271,514,431,026,663,440,655,518,352,519,238,
104,496,291,483,338,359,650,689,162,412,611,823,616,978,342,056,555,506,779,
595,223,206,229,192,054,253,903,639,184,477,328,972,270,115,382,768,706,327,
287,265,204,110,549,695,401,111,062,585,668,523,693,556,514,219,594,770,417,
473,158,339,392,734,047,663,288,003,771,015,811,135,739,192,629,059,897,785,
949,465,482,470,056,204,165,874,898,202,238,152,475,798,175,058,012,412,097,
243,660,262,570,659,593,460,290,170,926,118,978,451,359,046,696,795,694,998,
358,782,584,676,579,019,866,280,866,995,841,404,984,366,239,414,282,785,480,
209,703,156,598,581,582,411,732,181,737,612,357,792,798,461,197,646,372,102,
341,353,816,739,756,328,748,537,231,306,784,559,031,574,755,007,981,938,868,
177,046,131,874,782,097,386,491,642,998,284,023,403,483,113,015,429,742,780,
034,541,349,907,695,357,026,341,855,938,170,714,573,801,342,083,832,243,059,
339,228,156,629,192,877,362,391,296,128,542,047,566,303,597,437,329,999,546,
192,962,868,592,049,287,460,831,930,567,079,968,423,272,873,822,472,342,292,
721,900,218,625,162,150,728,709,087,599,479,742,793,821,950,655,712,394,985,
540,967,700,196,173,791,269,786,560,119,827,455,877,075,502,584,792,562,226,
031,645,789,452,443,098,123,292,021,166,977,861,381,574,913,656,625,334,821,
959,519,307,500,831,978,074,588,385,088,482,726,243,339,355,106,936,216,989,
502,305,032,233,293,560,295,554,182,974,860,430,462,615,048,362,082,044,126,
139,784,937,696,995,828,063,451,194,929,631,573,546,798,778,500,128,583,407,
789,097,767,902,794,042,939,739,306,994,193,606,020,109,882,837,186,083,340,
257,368,868,211,042,983,418,088,674,475,685,541,888,484,567,315,900,417,836,
403,785,996,278,037,069,098,661,556,575,566,549,442,559,448,634,850,690,417,
495,320,078,181,171,342,951,803,676,154,894,473,464,770,906,963,541,821,945,
840,544,939,243,483,110,030,048,969,944,285,260,600,882,823,599,846,923,151,
711,910,805,498,266,201,654,691,483,595,485,341,251,187,697,868,174,248,321,
269,856,330,588,468,007,827,440,353,750,087,819,341,840,546,089,992,699,101,
530,934,415,369,189,017,727,137,096,431,417,858,220,156,640,596,978,623,260,
718,700,086,267,998,214,012,934,006,859,602,817,473,936,438,185,502,566,870,
709,003,594,785,556,322,698,767,629,471,791,651,775,457,826,883,107,918,429,
703,864,169,481,181,798,896,691,326,017,217,800,114,732,444,417,193,511,089,
445,950,076,338,296,528,771,164,563,598,858,426,965,381,094,406,334,830,845,
099,088,041,578,445,458,749,479,944,474,556,910,762,007,527,109,641,169,224,
111,687,825,858,612,435,701,999,065,296,397,644,683,047,970,132,242,531,842,
875,189,788,467,644,732,289,012,290,113,961,890,281,159,747,854,530,174,807,
023,230,344,449,531,800,796,127,382,347,698,937,732,262,693,204,523,126,899,
276,661,505,941,273,977,932,184,481,871,044,059,434,483,209,141,849,834,671,
568,683,057,138,137,818,837,413,580,905,863,840,535,410,769,381,068,775,134,
125,661,178,128,205,365,474,244,172,010,556,700,200,203,837,111,994,562,449,
003,913,090,396,339,534,171,498,658,531,885,253,783,014,116,928,772,737,032,
493,515,410,935,501,802,342,991,674,710,997,661,086,448,251,829,779,951,871,
077,516,694,396,014,139,425,862,269,810,674,480,078,716,875,416,462,942,770,
291,462,557,632,963,180,856,431,282,249,888,832,144,635,720,332,461,027,312,
889,203,857,303,402,200,282,177,886,784,110,152,690,911,541,754,159,104,876,
999,533,318,286,629,870,859,928,344,022,051,924,056,401,024,776,050,424,618,
165,667,322,864,004,954,007,590,625,923,101,962,920,266,757,338,126,061,738,
496,740,189,194,304,629,666,397,704,179,612,203,237,284,909,909,805,159,642,
530,348,428,108,650,823,710,442,156,271,230,793,337,701,051,484,440,192,578,
277,838,322,447,728,745,048,387,083,114,318,611,815,302,879,569,089,068,939,
196,988,907,184,679,899,554,211,268,786,856,580,834,737,651,278,391,133,714,
435,312,124,553,744,936,739,602,213,878,705,838,773,387,373,176,454,008,418,
595,716,786,963,732,993,014,780,317,178,916,009,189,191,055,201,637,817,393,
263,715,940,622,968,747,447,563,690,995,685,191,453,785,608,028,784,451,261,
830,297,668,231,270,985,849,428,267,666,824,853,083,328,111,494,818,240,223,
975,920,219,611,570,456,912,684,945,095,810,366,471,622,774,956,492,654,660,
048,632,724,467,936,923,637,133,277,042,785,544,098,327,491,596,019,279,056,
692,963,027,540,064,037,750,315,282,514,705,465,410,787,711,893,110,682,632,
567,995,943,254,448,924,562,830,437,243,575,736,758,712,033,879,546,063,451,
082,051,289,027,424,875,392,310,185,370,271,158,829,658,387,368,735,684,183,
926,580,941,053,721,417,692,618,629,344,256,237,615,102,962,444,499,484,458,
860,350,538,678,466,925,549,973,317,389,032,962,386,655,916,967,293,256,356,
812,439,368,615,492,508,099,611,114,237,801,653,818,456,361,619,403,320,638,
210,005,527,932,404,153,693,080,898,362,865,396,768,018,332,082,240,024,523,
754,437,680,366,417,483,925,890,689,724,478,839,424,528,926,406,810,956,191,
737,768,194,744,068,285,406,045,503,524,565,974,230,635,992,878,221,705,818,
029,187,582,248,053,596,416,533,438,769,094,854,991,189,348,775,202,114,941,
585,452,268,998,798,477,158,471,970,381,407,827,106,024,067,742,966,928,574,
415,496,335,501,569,043,041,919,500,783,977,358,212,828,266,381,840,578,805,
302,033,120,799,298,040,691,980,204,363,042,213,013,240,396,627,351,924,366,
808,797,382,842,515,658,725,528,340,439,627,586,736,524,129,689,306,180,927,
070,176,408,020,494,015,395,831,062,070,393,450,040,944,704,692,463,012,376,
685,389,700,614,868,458,878,138,817,518,033,803,867,979,736,654,197,787,801,
876,614,918,444,135,424,349,343,666,054,539,932,446,896,859,303,061,142,503,
837,293,599,674,280,004,201,401,472,572,305,969,642,581,081,655,487,401,776,
666,780,902,258,054,614,818,414,501,652,634,155,583,756,469,677,635,567,838,
952,188,823,003,676,760,034,313,224,268,614,818,626,790,698,527,301,346,441,
371,114,835,085,795,256,561,974,215,919,655,755,330,636,833,930,159,290,699,
498,143,951,357,104,558,770,714,956,430,257,713,678,498,478,514,214,313,566,
491,824,592,900,443,399,568,319,357,704,204,693,217,393,783,806,261,920,690,
128,768,050,585,727,121,882,750,107,807,797,221,189,135,612,930,936,160,683,
900,378,498,395,339,015,042,316,045,303,142,228,656,350,679,712,647,871,869,
432,069,819,689,424,996,758,344,999,906,152,985,012,205,324,068,111,785,756,
761,087,946,515,109,308,213,692,710,913,554,756,332,606,561,668,135,507,227,
697,094,836,720,958,410,173,300,690,804,562,835,245,272,825,693,435,747,540,
457,992,137,255,386,006,384,087,997,579,880,506,614,943,329,099,181,254,644,
398,684,101,787,917,948,146,374,096,573,122,799,998,493,946,547,804,237,546,
208,167,278,403,474,607,441,260,583,718,579,176,741,096,059,813,642,987,905,
513,970,646,076,446,670,970,121,282,000,818,522,422,345,035,702,278,789,580,
900,602,451,171,813,114,145,553,527,040,133,933,757,903,519,804,620,781,302,
473,596,599,725,219,087,664,388,694,413,639,140,733,753,129,433,534,405,013,
057,110,147,465,601,440,851,445,210,068,100,775,118,362,619,776,954,589,310,
157,631,679,617,454,888,852,807,600,121,242,657,920,866,794,888,427,408,248,
411,667,093,433,044,633,180,929,496,858,354,641,516,583,871,462,563,155,963,
766,705,764,293,687,947,474,480,687,052,298,185,863,255,330,700,257,102,653,
684,143,912,598,037,575,214,285,439,448,037,657,796,035,366,151,563,456,255,
691,001,440,957,113,594,906,450,079,754,419,337,843,957,824,084,180,409,500,
491,988,629,041,859,074,421,203,626,624,675,809,050,536,238,597,811,905,016,
741,198,607,434,645,633,882,468,252,190,374,193,638,755,819,231,661,855,981,
561,249,272,015,687,397,674,740,778,260,985,401,916,253,707,996,140,576,055,
240,293,680,330,470,843,973,143,809,464,524,975,303,805,495,195,912,460,778,
040,267,018,365,026,047,929,219,444,538,563,092,502,657,974,431,867,404,218,
625,787,644,302,957,603,120,170,478,739,789,504,928,286,283,270,683,125,779,
253,466,381,777,359,095,103,323,986,318,636,546,489,161,875,754,612,741,159,
046,849,636,616,212,044,471,277,622,375,148,904,598,722,273,537,846,829,680,
512,046,808,998,528,470,320,110,176,078,297,269,668,083,753,667,228,855,362,
377,182,888,818,760,055,039,129,860,990,594,820,450,447,433,048,763,073,585,
894,594,320,449,907,031,565,933,882,591,482,783,334,704,135,884,770,035,676,
527,898,409,493,040,276,497,761,910,692,810,303,020,701,178,658,717,572,445,
821,104,663,590,828,076,125,711,523,132,867,977,297,975,107,340,374,804,802,
908,020,021,107,693,347,749,944,906,821,696,385,617,953,396,877,713,297,987,
413,941,662,693,374,033,297,659,420,873,266,698,487,979,704,320,453,198,299,
044,925,783,593,851,270,852,693,937,263,102,972,776,825,359,465,356,283,033,
202,354,354,942,400,568,762,433,873,484,074,326,479,724,251,751,762,872,449,
559,142,795,168,491,641,387,859,192,875,160,799,528,621,459,755,444,298,744,
213,476,676,962,561,069,996,893,214,134,743,106,418,440,166,198,995,150,830,
748,530,735,768,570,617,423,414,998,561,712,601,203,339,330,699,171,041,704,
730,334,227,885,214,224,643,384,922,703,291,134,594,672,711,772,061,655,852,
997,978,013,179,291,316,125,092,292,268,605,089,405,645,425,675,257,736,599,
681,154,918,325,180,409,560,703,127,998,699,126,351,824,252,513,753,563,166,
192,544,827,872,523,863,125,670,724,289,652,525,110,707,617,289,126,796,390,
966,406,607,427,680,303,998,257,543,786,770,416,079,603,885,660,308,571,034,
766,186,991,649,883,146,303,688,572,232,451,198,489,710,362,068,041,483,235,
822,221,998,155,671,215,382,590,640,019,165,200,942,213,110,160,827,494,160,
145,118,216,978,508,359,535,894,162,208,743,678,118,572,620,642,373,615,967,
163,888,470,192,369,939,885,651,988,577,403,088,590,300,035,966,735,005,714,
348,910,385,223,959,224,978,906,715,786,886,635,379,630,606,674,546,969,385,
726,982,293,613,597,176,439,783,497,749,450,200,106,614,282,779,941,489,044,
671,267,529,953,581,880,095,176,513,951,894,965,634,480,927,423,219,219,235,
274,747,425,974,207,942,708,414,541,080,675,871,615,879,894,786,620,189,832,
881,791,654,586,956,444,622,496,392,328,482,212,839,991,769,280,350,594,631,
409,007,576,849,858,350,567,187,024,226,509,729,602,941,689,536,492,612,114,
269,464,309,015,296,832,468,452,615,650,572,112,325,683,313,565,375,939,478,
655,664,289,921,008,766,553,286,241,882,379,559,701,059,339,830,582,796,580,
521,081,562,923,313,149,867,799,696,248,172,096,948,190,853,170,086,505,671,
837,069,219,862,908,781,343,198,942,322,684,952,747,045,457,117,438,608,331,
143,296,101,409,966,930,111,211,667,112,478,603,762,208,578,486,060,505,315,
970,645,992,984,057,169,389,869,636,881,738,278,051,437,221,540,004,845,955,
753,722,119,641,019,326,413,142,657,563,261,173,623,353,662,370,781,806,656,
685,708,220,090,545,410,714,316,895,158,273,950,348,727,669,005,817,173,549,
889,621,141,133,518,979,672,114,781,955,567,132,287,325,569,708,264,829,889,
073,268,659,345,678,410,598,674,228,680,520,950,379,481,765,797,580,329,307,
885,331,781,310,427,022,467,618,267,311,200,604,305,624,484,969,669,910,181,
523,294,330,967,631,178,955,977,912,178,094,978,565,235,348,750,986,580,062,
653,041,067,265,318,433,044,969,851,983,114,658,267,747,403,897,487,684,200,
126,341,796,817,348,998,382,115,641,007,730,611,156,143,497,218,285,252,375,
850,946,870,866,057,584,971,414,456,301,517,442,542,672,957,546,174,091,491,
415,095,312,335,552,723,893,389,140,211,846,215,158,915,242,930,515,530,181,
441,595,053,689,858,322,148,159,270,153,397,222,701,364,247,504,796,754,365,
140,170,129,359,670,118,210,906,626,683,195,515,209,239,745,191,526,278,072,
047,007,271,253,431,064,120,262,339,480,466,533,667,747,006,512,045,781,289,
877,496,208,661,739,142,675,451,123,618,294,087,805,639,285,408,465,965,707,
866,791,647,485,629,264,882,222,639,270,875,603,291,102,298,098,452,058,075,
314,094,263,447,179,481,744,011,805,961,936,570,195,085,469,471,320,851,334,
812,671,847,263,770,846,881,378,736,021,452,715,811,458,575,081,218,289,879,
779,823,554,091,537,416,705,166,560,472,993,295,023,395,256,743,538,989,498,
417,422,030,955,533,407,122,785,364,026,706,102,448,632,934,478,911,321,801,
604,038,745,356,863,001,776,282,842,933,226,926,302,030,664,049,535,355,949,
059,293,231,313,562,076,069,176,018,881,830,273,139,811,091,557,274,768,043,
164,209,636,993,404,235,197,313,688,904,044,306,200,409,203,480,165,200,575,
337,678,558,066,495,709,172,303,767,218,655,889,107,713,460,508,329,665,533,
429,577,759,331,470,651,614,110,848,799,525,528,059,280,150,711,159,791,261,
420,323,203,232,255,670,778,834,324,090,593,432,738,403,612,123,671,976,888,
835,108,991,104,145,198,266,644,985,508,859,098,198,477,674,017,497,143,216,
567,655,932,866,470,146,242,087,225,899,520,361,750,843,148,311,612,967,975,
527,605,604,589,047,060,822,792,555,630,114,869,260,906,452,658,308,501,516,
478,034,803,358,244,620,958,987,528,028,394,259,036,304,985,382,768,708,607,
899,033,594,853,958,265,799,367,367,823,112,777,453,722,227,307,886,593,033,
239,411,832,695,306,085,259,256,619,023,095,786,310,408,768,778,305,864,692,
299,838,306,684,820,155,428,560,441,995,401,561,590,625,821,634,547,870,154,
432,345,853,679,646,980,144,132,456,948,978,820,944,032,505,514,102,699,793,
239,069,653,134,767,656,720,065,047,347,118,459,165,465,520,298,962,499,295,
955,204,264,250,458,320,844,035,541,089,800,171,491,285,235,736,520,099,440,
427,847,620,193,216,687,506,698,385,033,709,275,939,716,082,659,809,846,306,
951,478,254,225,217,087,240,675,087,878,311,228,785,808,888,471,779,142,468,
100,557,937,715,700,951,582,262,281,590,877,795,850,702,726,581,674,164,708,
969,020,960,239,161,010,748,561,786,371,532,262,672,236,977,276,123,791,842,
470,773,771,298,449,041,821,509,574,446,563,588,832,793,305,144,136,569,047,
717,026,306,984,529,333,662,392,991,415,713,101,251,468,223,051,968,687,305,
017,363,157,257,661,095,892,434,129,061,324,630,443,808,735,489,417,670,546,
673,317,279,313,793,150,205,502,971,017,573,503,594,363,591,385,832,834,700,
623,951,172,761,875,095,027,293,725,481,886,846,453,289,306,206,704,731,674,
488,967,515,092,444,780,667,739,420,752,896,852,873,996,856,679,568,255,550,
855,300,325,763,218,749,655,991,129,168,108,070,490,315,885,380,972,062,686,
095,427,551,373,023,419,673,981,813,735,223,897,643,844,427,869,134,577,334,
130,597,253,526,389,855,647,729,963,408,378,053,575,771,898,919,806,213,508,
162,010,837,777,864,149,461,702,525,953,944,135,697,678,859,509,793,647,827,
368,253,923,276,089,433,099,555,094,612,988,612,915,120,150,329,189,667,616,
482,738,685,066,311,671,443,409,145,636,967,045,160,220,242,105,895,537,089,
201,107,038,596,576,587,158,001,862,946,393,554,230,421,895,001,948,693,978,
455,736,759,388,509,895,794,740,255,400,937,580,788,409,780,245,568,752,756,
410,541,748,936,705,382,426,550,792,964,455,415,011,444,704,582,963,743,430,
811,975,324,062,241,666,725,153,954,732,119,829,664,641,597,411,454,666,329,
767,494,788,359,486,747,175,501,840,387,729,795,867,374,774,205,498,142,447,
699,165,266,748,611,444,163,858,392,784,038,965,247,338,974,244,594,727,215,
440,654,592,258,743,769,944,995,994,631,050,457,914,744,040,362,341,420,757,
968,539,539,642,058,805,844,306,860,371,618,822,842,459,706,708,862,613,387,
947,139,419,946,971,808,622,887,346,704,728,206,066,670,062,381,845,123,195,
832,057,652,507,647,240,462,060,809,420,401,776,598,318,365,166,044,917,566,
844,970,442,221,172,681,255,996,702,473,553,640,454,070,734,259,022,275,193,
733,460,714,843,862,311,590,242,978,543,819,106,392,466,421,443,056,640,920,
057,486,204,746,334,876,827,804,325,492,374,234,791,239,854,735,845,853,802,
279,653,235,429,783,621,178,978,099,635,188,919,493,408,237,766,912,717,079,
215,586,165,383,882,209,517,183,679,359,368,007,620,499,056,841,632,455,295,
465,924,499,307,362,752,181,191,230,530,264,296,497,927,928,414,307,008,229,
569,552,546,178,942,410,524,166,311,698,260,258,246,934,259,341,223,803,166,
114,232,155,686,566,038,288,900,605,109,727,561,123,583,957,912,666,942,758,
814,329,469,816,778,535,062,957,054,305,759,711,808,576,447,575,346,241,783,
202,331,200,116,936,594,703,783,405,299,588,008,371,030,038,096,081,616,820,
897,367,910,997,213,845,750,030,389,287,293,269,906,398,136,005,183,427,167,
017,213,633,043,620,139,057,011,020,920,999,278,879,145,230,869,570,717,187,
797,117,950,058,297,065,215,383,599,441,074,078,831,534,490,331,644,876,230,
259,368,573,533,761,902,428,793,681,609,055,938,647,935,516,837,120,218,327,
524,136,910,924,561,676,145,928,756,515,746,668,834,183,196,004,545,276,736,
646,218,784,011,223,461,307,103,742,528,945,469,247,975,768,528,012,829,887,
086,883,057,510,082,719,901,178,423,931,123,090,405,025,845,895,799,281,975,
687,100,421,871,482,770,694,162,952,400,217,786,667,243,992,758,646,750,954,
262,561,046,327,081,575,408,289,512,110,792,865,982,773,373,396,643,630,966,
636,208,023,540,882,349,014,088,414,592,595,132,461,187,936,303,694,089,445,
810,178,759,062,367,798,501,186,889,035,106,834,280,169,756,751,485,621,539,
259,634,906,757,291,643,921,545,664,476,025,477,483,876,877,981,217,245,982,
716,703,476,857,694,512,984,253,188,272,658,797,650,848,124,533,902,654,582,
729,407,651,362,399,114,907,392,439,405,858,223,356,743,775,929,912,104,701,
162,269,600,697,308,429,293,524,432,725,313,976,381,418,911,518,394,330,249,
803,205,701,383,114,913,181,925,667,489,660,025,407,202,021,880,462,431,953,
266,992,080,551,775,849,319,052,939,161,810,484,838,762,535,787,919,419,617,
842,604,119,857,755,280,962,493,643,556,224,685,715,370,123,859,769,590,195,
838,504,696,237,249,908,659,406,291,040,810,366,129,356,833,908,341,251,324,
510,733,197,650,022,484,434,668,676,545,276,272,381,154,316,430,850,195,257,
435,017,175,601,910,541,513,177,543,347,284,282,697,206,581,364,235,533,069,
723,363,049,234,767,800,612,587,795,005,342,756,346,056,035,924,584,804,661,
294,547,538,942,653,044,520,426,849,346,389,286,610,424,704,321,721,616,429,
814,100,458,836,943,360,904,107,535,992,421,759,916,728,874,363,953,857,053,
022,710,282,738,301,989,988,467,526,516,107,288,595,281,607,573,198,192,408,
688,704,880,452,285,798,080,956,127,387,312,843,731,600,076,705,088,278,199,
393,536,283,209,474,188,040,035,342,144,991,118,151,605,575,763,227,032,623,
336,285,559,107,580,899,694,691,991,299,098,037,172,464,902,141,063,578,066,
124,819,169,957,704,746,550,681,480,157,097,555,228,530,357,793,810,275,541,
723,013,577,527,939,352,694,776,392,161,319,654,277,503,486,453,861,634,160,
260,653,850,094,050,974,328,501,923,994,709,393,283,766,677,328,956,403,208,
530,034,959,333,681,325,122,280,579,244,684,613,581,462,606,857,197,380,209,
352,730,812,878,624,246,695,098,839,622,816,867,727,594,546,154,115,273,958,
633,601,737,517,045,173,402,773,343,296,807,323,265,228,732,866,221,734,199,
015,226,756,675,647,023,030,588,456,727,307,915,994,487,193,280,441,182,144,
856,425,180,954,465,231,923,831,177,000,933,017,371,321,921,651,171,406,006,
859,036,224,746,879,707,094,702,322,043,182,660,464,172,659,496,660,158,306,
056,122,978,928,887,516,615,011,527,723,408,859,205,152,148,049,443,222,546,
882,128,492,824,848,816,884,946,666,794,606,030,427,676,384,434,534,876,131,
017,704,280,671,427,909,578,890,160,705,066,942,743,201,454,916,218,730,983,
424,383,927,859,919,185,659,086,235,962,831,572,041,187,519,405,021,511,195,
287,178,536,129,861,187,086,319,933,312,716,465,901,993,518,473,624,320,894,
655,093,059,848,419,103,266,051,278,433,350,531,961,673,581,005,531,493,374,
130,420,283,576,135,881,517,971,755,181,691,353,968,737,343,239,320,065,090,
936,345,446,052,401,335,310,223,417,131,678,178,945,359,921,291,194,678,558,
610,726,634,344,084,101,332,198,843,171,539,025,134,882,940,526,696,062,343,
322,788,480,715,080,011,695,006,608,176,105,504,517,624,117,614,947,188,194,
158,801,951,745,171,711,608,160,625,120,238,365,211,134,584,139,468,293,355,
885,137,059,639,026,216,282,933,817,931,109,442,172,220,327,668,030,538,431,
573,117,581,054,110,680,257,455,096,051,319,412,489,507,229,073,009,010,678,
069,920,408,246,997,354,226,773,073,308,038,771,481,815,276,207,970,510,030,
475,159,032,283,061,449,380,325,415,510,836,207,269,568,727,674,610,489,821,
752,119,481,977,698,244,377,847,793,430,125,807,882,257,732,754,989,553,848,
662,698,536,381,756,993,501,460,590,634,487,383,881,687,949,654,443,302,724,
206,826,484,709,003,062,040,635,645,444,987,204,575,332,448,443,994,006,258,
987,805,289,950,618,544,694,874,157,048,275,428,090,874,844,571,938,388,441,
068,780,390,839,091,112,644,833,434,158,513,377,928,848,749,706,769,816,441,
238,277,011,511,908,259,055,253,331,698,007,366,094,161,455,107,604,561,548,
410,943,146,446,419,710,015,720,613,940,408,208,785,543,074,693,547,849,309,
326,809,696,313,663,400,950,786,478,482,252,847,327,967,442,575,600,592,560,
823,164,782,484,449,467,106,548,908,561,120,338,537,807,402,020,603,141,296,
222,699,868,995,511,381,010,475,369,842,327,362,398,346,038,868,051,386,770,
516,434,816,879,299,041,453,426,133,561,350,107,122,890,182,454,564,202,826,
229,878,575,275,301,778,395,058,336,765,579,377,516,504,433,721,835,505,554,
771,878,903,693,480,820,546,388,413,273,022,991,154,189,906,890,675,373,244,
342,373,280,669,763,245,836,500,653,791,232,238,226,280,614,283,694,123,219,
312,769,238,029,910,264,490,453,413,667,202,568,139,834,584,653,720,286,424,
651,412,724,468,750,467,465,458,066,943,446,157,155,209,690,737,393,426,026,
325,742,769,142,553,370,282,748,664,589,801,854,091,972,758,741,229,962,337,
314,947,549,346,520,709,854,817,166,673,030,715,445,764,027,544,580,284,887,
819,624,609,414,442,823,619,080,939,455,209,792,444,917,334,655,523,134,913,
307,138,653,956,884,120,763,854,944,376,774,474,897,957,333,732,482,123,209,
674,092,713,215,234,271,335,122,536,950,439,515,692,279,250,006,321,735,405,
910,840,845,906,133,421,713,926,863,710,222,745,670,737,338,383,878,696,641,
945,112,070,968,008,163,098,567,199,686,725,374,980,140,252,869,209,228,944,
969,108,343,935,178,462,793,852,572,866,387,999,313,475,005,776,004,366,035,
139,690,053,797,558,827,063,927,330,653,953,774,582,733,932,836,268,057,191,
141,930,035,447,901,064,044,706,810,596,170,790,832,752,828,077,822,710,176,
545,522,654,697,921,205,590,010,812,835,918,471,878,867,837,382,571,691,387,
532,697,181,820,369,169,578,568,633,738,512,041,590,204,208,614,411,701,340,
163,945,699,882,018,662,104,049,884,344,978,832,229,172,094,828,875,301,443,
005,371,202,821,851,507,149,063,504,341,165,096,188,903,365,300,871,887,104,
891,733,322,140,153,218,426,696,789,896,884,681,042,050,449,079,078,583,794,
196,244,124,189,945,749,236,294,346,419,949,697,401,028,319,299,289,658,158,
178,272,065,339,667,709,432,724,488,009,717,374,198,232,347,149,436,943,922,
980,168,052,624,521,239,544,086,614,508,031,742,126,490,240,828,328,368,090,
877,521,206,992,613,435,684,884,351,548,284,575,020,144,829,462,794,139,276,
469,816,569,692,071,347,195,732,809,705,057,405,278,180,373,008,845,382,002,
714,854,122,348,463,979,473,953,633,065,242,377,022,033,149,797,121,797,555,
818,090,568,978,034,520,223,412,026,867,309,376,975,045,481,735,124,930,164,
282,493,654,622,057,500,616,458,122,693,965,212,977,335,607,226,927,593,680,
529,262,825,164,121,345,036,880,934,731,206,839,599,376,745,604,029,011,349,
130,042,767,995,207,331,852,542,186,315,572,497,020,485,653,356,263,590,078,
086,517,645,510,409,792,435,390,940,344,089,784,587,664,025,167,840,928,839,
202,876,642,279,456,027,014,008,243,738,644,422,673,176,336,076,964,937,064,
866,091,008,046,102,244,689,657,187,346,247,369,749,513,460,303,854,198,782,
844,800,728,037,676,902,553,069,299,082,943,815,999,147,673,046,722,127,414,
690,205,030,187,847,266,494,228,879,749,966,223,719,248,492,206,333,861,584,
589,749,729,416,052,496,561,424,361,594,492,556,342,769,971,449,983,683,222,
880,132,481,887,229,519,549,555,092,013,215,218,043,299,552,753,984,319,452,
466,121,738,154,999,083,635,885,734,496,756,194,677,946,400,290,399,509,439,
231,529,800,645,570,896,702,804,102,363,120,573,187,955,647,220,036,180,027,
453,794,881,894,790,212,618,219,541,319,972,826,887,934,820,978,329,385,154,
493,934,601,116,275,208,844,244,968,647,317,039,979,836,311,558,165,963,092,
432,049,770,988,170,036,043,055,889,117,741,779,320,418,758,565,082,453,478,
703,863,621,442,330,160,422,038,931,786,205,611,959,287,846,106,437,201,070,
195,196,018,282,862,630,457,827,046,387,209,725,552,912,498,792,632,164,210,
834,497,417,138,976,229,969,174,858,788,923,814,548,530,270,789,527,529,150,
669,202,727,136,111,710,143,467,769,510,921,247,220,191,711,917,434,433,302,
955,338,953,194,175,486,485,363,418,880,889,594,015,011,702,362,143,136,458,
811,093,284,351,558,758,488,019,697,187,141,100,289,565,112,445,998,399,734,
909,664,650,211,418,486,333,713,653,782,376,963,507,187,882,580,715,748,399,
513,246,359,199,860,633,523,896,230,048,587,710,515,795,870,497,666,319,475,
812,294,708,988,413,707,040,955,931,119,412,570,020,008,919,575,900,465,622,
360,802,079,918,821,661,666,090,364,558,956,614,519,356,571,570,932,567,874,
605,203,449,704,714,592,714,477,952,507,682,005,689,283,781,986,388,214,074,
440,181,949,737,196,905,206,021,916,080,685,742,774,084,366,992,069,664,639,
505,527,672,514,425,391,060,188,862,384,502,720,076,365,892,349,485,572,350,
012,641,214,578,854,883,779,726,754,431,623,655,792,939,279,873,050,098,688,
609,299,213,302,415,521,431,921,635,706,187,313,506,609,818,734,667,885,476,
347,074,025,009,652,041,134,176,559,156,079,867,946,989,342,165,755,069,329,
797,821,820,852,905,782,740,795,338,821,924,481,832,923,229,534,978,333,691,
610,604,076,504,025,781,527,118,989,288,188,050,740,519,801,132,942,231,066,
667,653,902,071,204,134,759,780,283,493,633,659,895,345,948,429,713,595,335,
672,420,653,863,653,853,875,749,707,158,731,642,098,181,396,267,058,952,778,
349,711,970,888,113,734,890,943,930,614,752,807,154,591,178,326,165,388,072,
098,326,311,279,702,418,762,179,571,123,498,209,155,194,472,063,659,258,956,
055,888,552,835,444,934,721,493,260,234,302,819,610,386,780,486,694,136,371,
020,315,422,570,314,350,777,886,338,454,774,036,906,319,863,414,435,677,707,
124,792,060,878,416,407,109,584,017,406,689,369,975,758,889,143,965,551,792,
386,959,776,100,719,044,448,281,049,129,453,591,526,350,955,852,942,004,766,
305,139,008,993,831,895,405,102,560,933,573,674,168,310,859,872,899,616,846,
875,962,197,459,696,226,631,650,036,424,306,037,848,916,454,697,278,710,424,
556,298,214,857,404,797,678,495,952,569,667,369,555,447,681,864,842,492,256,
364,825,358,447,112,957,822,138,553,379,397,920,987,608,732,144,752,207,954,
880,776,290,424,119,149,738,314,370,107,587,602,520,485,916,992,622,427,049,
422,470,431,247,640,917,410,910,652,377,923,484,168,401,962,476,459,546,898,
339,744,383,928,255,584,008,842,578,630,402,883,961,103,707,006,335,295,101,
078,614,961,382,505,945,433,357,748,496,581,331,273,772,745,683,743,283,413,
814,810,719,686,104,777,585,986,105,737,789,911,819,823,480,440,110,060,902,
033,564,620,888,482,327,557,126,243,222,385,826,250,453,188,785,668,728,560,
756,043,245,103,087,382,480,798,485,276,073,405,145,529,801,838,130,413,415,
712,691,383,343,092,298,329,585,081,199,176,837,906,247,395,869,509,485,884,
785,396,494,346,966,112,732,375,222,207,556,390,168,873,292,046,579,804,926,
413,273,140,537,763,081,601,203,522,380,338,731,336,910,102,651,477,264,284,
502,210,039,409,371,823,158,437,693,933,912,061,881,280,494,138,333,594,966,
627,236,091,057,136,876,310,331,830,740,177,376,685,354,602,036,945,943,151,
696,107,198,678,771,085,288,650,252,444,689,365,605,509,307,552,828,467,606,
934,104,769,697,777,840,723,080,794,696,719,103,821,652,411,227,413,739,561,
592,600,564,036,643,657,152,727,238,284,179,860,183,770,860,362,056,984,136,
011,491,337,062,906,839,026,429,186,649,002,011,405,023,277,469,789,780,082,
244,600,885,258,033,382,848,671,107,671,193,860,357,546,504,310,413,047,725,
116,343,803,209,351,667,045,666,492,362,223,089,836,014,550,190,981,591,369,
121,507,087,641,298,768,047,903,604,576,266,739,333,225,862,483,060,608,080,
030,501,337,106,324,011,744,147,616,147,894,542,141,558,219,491,079,282,418,
901,174,979,253,200,939,579,177,087,664,527,182,999,403,282,365,460,694,211,
442,658,978,022,373,028,782,304,937,893,039,885,989,129,818,389,543,056,590,
601,039,158,477,314,139,407,255,852,669,101,921,835,710,458,435,066,366,157,
795,318,693,812,436,833,239,801,407,657,837,440,422,493,357,434,691,942,018,
617,157,967,982,103,493,207,574,969,785,263,344,202,049,933,688,771,229,169,
725,481,897,704,904,613,432,925,365,410,848,539,198,999,619,261,408,441,414,
193,757,063,499,695,411,541,595,883,803,516,442,246,621,084,211,342,527,259,
595,801,321,618,265,615,176,990,515,793,085,928,993,385,189,896,862,913,755,
148,451,044,653,917,396,163,144,869,152,373,786,880,679,171,034,923,627,016,
040,995,226,070,449,371,035,148,463,325,567,631,997,657,126,862,130,144,715,
161,314,300,319,732,510,302,399,076,957,972,191,061,477,175,630,947,513,681,
271,185,263,720,738,870,695,649,476,617,445,112,462,057,358,904,585,856,341,
935,770,699,401,504,014,234,681,752,372,358,379,778,935,602,980,296,356,091,
211,469,172,268,376,339,176,121,815,935,408,731,484,588,873,256,389,499,083,
364,055,754,205,687,121,169,657,235,340,529,552,910,965,442,062,608,711,138,
316,655,305,598,146,440,001,088,930,234,464,560,206,535,999,705,544,868,358,
631,640,177,429,891,417,542,677,442,558,132,592,856,509,605,083,730,562,681,
942,138,310,128,339,123,246,346,178,678,752,024,270,603,750,385,017,861,826,
234,887,490,926,061,641,013,607,159,074,641,617,314,329,755,166,275,816,646,
263,879,582,145,145,970,448,556,791,218,938,960,433,925,871,256,632,910,417,
968,712,921,191,914,019,982,794,064,725,556,452,648,246,460,456,817,242,652,
981,213,872,934,049,110,371,657,292,667,688,470,911,784,401,863,196,231,729,
050,696,831,942,895,834,429,780,242,773,658,006,728,322,413,399,762,961,093,
699,172,118,047,819,561,458,802,747,279,052,134,037,471,284,016,987,663,826,
753,419,493,761,904,391,138,889,853,763,152,069,859,720,870,490,425,008,711,
043,060,524,812,289,178,291,240,953,499,815,069,129,229,564,781,574,438,174,
161,254,042,696,585,065,644,095,920,624,136,894,719,751,110,978,646,460,261,
757,320,420,204,721,441,678,631,779,986,699,456,390,611,965,215,413,359,014,
492,062,520,605,878,714,310,821,801,257,260,395,709,484,030,283,374,850,661,
647,283,447,139,513,999,680,618,179,090,641,121,709,099,147,836,381,059,364,
584,181,162,582,096,514,183,072,983,987,384,023,901,855,193,450,942,924,038,
475,183,052,557,048,934,590,920,812,239,074,328,432,894,025,360,482,027,221,
530,716,564,009,229,031,074,405,716,249,717,738,352,953,742,890,266,709,051,
150,836,331,749,565,477,531,011,809,980,340,536,103,120,004,543,209,854,119,
500,620,204,632,946,319,367,409,325,816,320,231,111,228,887,532,508,117,121,
074,752,329,310,763,135,367,584,669,417,010,796,364,128,114,215,924,858,747,
946,511,154,287,420,814,832,631,897,490,274,251,755,227,309,836,130,216,936,
589,441,683,216,226,832,152,198,332,482,867,070,863,209,880,840,289,356,145,
184,267,315,706,281,782,813,353,093,696,838,829,127,652,051,086,546,894,857,
502,267,024,544,552,466,001,340,495,338,639,902,970,838,749,181,255,879,715,
932,732,357,671,308,813,762,819,847,466,189,600,489,413,476,356,228,989,104,
813,487,199,666,077,719,613,753,253,000,796,517,615,333,876,214,416,225,390,
859,120,575,814,377,881,774,956,959,528,437,796,600,801,974,972,528,354,928,
486,025,798,724,733,752,792,798,655,272,615,380,005,421,329,200,975,801,310,
115,113,446,790,260,338,480,857,348,351,327,825,563,223,403,403,548,041,550,
710,637,861,677,445,951,932,375,667,773,087,056,571,022,909,914,635,218,167,
447,430,789,837,596,044,230,586,578,470,166,020,646,478,344,940,793,757,238,
670,743,918,540,915,133,661,707,683,895,641,589,157,244,524,698,602,229,346,
974,928,281,863,545,824,068,133,279,431,538,046,464,592,728,681,874,860,919,
005,251,975,078,381,125,078,170,941,437,518,933,245,617,059,305,707,156,654,
208,877,070,820,836,163,777,609,602,946,809,436,208,057,018,588,937,722,028,
061,210,979,768,207,395,114,303,432,303,734,108,906,523,858,218,158,909,463,
643,854,638,547,983,610,928,140,545,648,747,385,101,284,996,465,558,898,602,
022,589,837,338,909,544,007,737,469,376,823,646,512,464,957,949,657,399,154,
188,521,055,230,558,774,039,179,522,488,510,893,854,206,271,469,754,798,312,
399,465,929,041,842,180,767,907,026,778,175,194,742,315,538,490,174,474,543,
633,965,338,051,837,861,448,391,190,081,913,710,511,552,620,787,816,389,804,
428,945,681,942,101,811,704,670,614,398,221,116,192,157,245,828,570,221,484,
790,323,491,362,583,924,111,195,299,278,807,543,048,522,442,209,935,219,938,
599,035,494,597,749,831,166,268,052,773,797,269,831,466,425,057,305,524,402,
982,338,980,394,629,512,461,816,013,998,881,363,000,409,969,477,175,097,941,
992,722,273,690,838,741,258,145,809,659,963,105,827,668,679,497,365,118,149,
097,012,207,078,359,107,160,494,787,173,866,312,068,767,516,767,273,456,736,
288,243,381,090,038,635,510,137,470,759,560,111,205,772,693,391,721,893,230,
986,014,058,669,354,483,198,987,224,680,950,682,360,011,981,416,147,931,743,
270,416,543,485,135,157,642,226,880,470,240,691,905,929,903,900,916,199,450,
404,035,920,167,816,880,239,788,697,900,435,993,585,170,014,133,305,473,578,
089,335,809,520,426,241,848,550,919,064,851,280,314,265,025,439,315,508,144,
629,819,216,728,350,531,598,203,403,102,988,905,964,296,021,467,672,165,558,
712,259,194,491,723,837,910,798,141,665,524,844,313,380,372,859,864,144,723,
978,637,120,089,213,661,876,265,622,590,862,954,327,602,493,082,053,611,067,
621,311,438,186,817,106,598,250,412,961,934,093,840,997,914,370,778,561,029,
536,359,841,200,733,340,911,174,594,629,199,840,218,199,959,281,190,718,717,
215,405,954,949,840,829,948,667,845,925,970,253,669,560,448,957,181,077,220,
131,362,409,907,611,477,048,877,197,669,523,268,444,384,457,931,545,522,806,
729,287,121,045,714,082,520,883,765,651,583,588,197,101,913,998,600,620,710,
016,963,478,601,278,565,111,212,342,426,527,693,634,699,540,623,441,424,677,
884,185,720,718,848,453,367,832,546,240,826,461,840,436,278,394,647,599,328,
489,879,733,239,214,702,519,030,836,519,599,850,624,874,001,439,508,215,383,
412,045,854,781,187,433,557,854,958,613,530,960,944,620,084,075,001,754,154,
996,752,181,202,643,918,920,367,386,661,303,199,636,320,098,535,089,149,459,
493,393,033,428,132,316,420,950,795,714,043,783,913,863,626,760,883,790,765,
117,825,343,672,186,842,306,409,152,955,363,067,001,319,600,835,595,349,368,
251,019,260,346,049,928,954,854,141,668,734,117,911,096,330,482,570,990,400,
534,042,980,718,845,246,295,112,100,250,109,816,488,220,394,147,376,645,093,
721,835,334,850,329,729,505,841,822,737,879,203,193,951,235,341,528,062,860,
914,110,610,708,768,477,888,239,948,841,258,176,033,017,700,050,112,308,977,
527,245,850,025,160,585,878,088,955,391,920,376,554,240,291,519,429,833,278,
150,754,139,290,935,984,151,528,664,507,519,360,114,873,471,129,591,848,620,
034,877,132,011,903,511,727,433,937,838,961,318,240,794,144,101,190,505,947,
093,480,215,876,569,219,516,721,971,420,814,785,737,593,427,038,776,961,556,
827,660,494,460,072,497,602,113,774,704,568,922,429,334,582,693,547,204,999,
659,974,043,964,778,925,010,185,736,589,764,944,123,212,158,865,033,345,113,
140,014,364,088,690,087,448,508,691,988,107,468,048,467,206,002,586,696,532,
694,903,926,567,475,545,264,599,789,375,300,790,444,442,151,231,737,775,936,
818,027,197,690,585,403,854,420,040,502,534,442,258,711,603,671,258,091,163,
637,004,638,743,005,382,555,001,519,811,848,168,005,618,740,927,421,593,294,
829,510,727,384,653,731,143,730,328,788,313,714,840,517,004,371,810,896,459,
550,605,307,796,335,926,594,132,724,182,834,713,757,185,298,981,606,533,960,
088,640,955,526,923,066,586,618,303,864,995,575,982,410,138,400,723,234,469,
378,996,830,354,993,165,600,323,070,862,081,263,521,794,972,176,202,109,878,
072,627,451,471,223,585,151,780,474,367,800,536,440,178,439,148,458,064,385,
190,900,351,810,744,243,263,891,450,441,742,744,075,266,510,494,118,994,953,
858,799,515,414,077,656,172,716,504,236,415,257,099,383,788,531,407,290,675,
610,452,825,115,296,694,380,753,895,251,374,171,206,990,468,376,022,141,430,
366,816,610,974,984,729,721,721,621,133,939,075,717,714,004,623,096,604,321,
596,494,665,550,245,712,890,065,843,894,801,430,458,497,199,718,437,653,939,
680,785,951,915,731,715,346,270,954,832,365,024,532,637,933,400,639,968,724,
218,943,344,578,596,797,832,253,808,676,924,815,773,504,470,012,977,189,921,
309,033,554,120,406,066,406,774,435,916,042,147,947,190,830,868,421,915,021,
529,792,546,526,300,963,113,641,831,608,909,206,825,983,780,746,824,932,605,
044,251,716,839,449,040,733,770,648,455,377,845,736,838,586,046,042,912,388,
439,294,856,243,431,974,412,277,032,407,110,656,342,119,705,152,561,848,167,
010,997,767,227,475,022,399,556,634,757,516,743,275,706,779,477,787,631,649,
490,977,104,745,651,508,544,641,450,166,905,052,201,186,679,741,658,371,411,
490,861,011,171,482,296,392,788,344,141,986,389,464,817,918,467,301,915,202,
465,233,659,423,628,110,102,705,260,115,699,558,460,064,792,426,988,162,924,
933,134,542,192,537,999,932,487,670,759,866,534,394,482,749,840,204,070,124,
165,525,357,315,586,458,756,155,064,865,823,168,032,356,378,398,290,194,779,
519,993,135,238,908,190,905,162,819,844,314,734,888,093,497,855,933,350,698,
014,201,042,863,513,605,097,044,628,998,485,236,770,345,141,840,001,455,888,
812,564,727,790,392,203,991,413,977,744,533,947,627,762,060,019,273,272,715,
410,132,850,008,149,766,837,130,663,868,003,638,103,192,106,149,704,390,902,
131,540,097,327,650,516,423,965,572,074,510,623,841,918,420,563,252,163,972,
379,691,333,425,252,582,455,875,251,659,772,746,673,761,265,367,280,835,150,
622,328,530,769,274,611,474,373,399,750,648,537,886,364,696,848,138,270,678,
318,904,433,641,149,021,493,100,841,191,296,306,552,385,683,038,166,937,125,
224,197,384,116,496,048,760,130,019,214,763,400,957,320,809,470,124,632,701,
467,747,342,585,900,485,277,595,610,232,262,115,532,217,140,479,262,397,231,
330,732,147,553,570,159,451,881,818,112,661,426,971,765,682,381,803,512,224,
148,699,221,847,348,124,871,237,598,830,644,485,762,197,712,262,299,759,304,
778,341,654,696,596,513,427,779,726,283,642,501,423,394,936,993,259,797,032,
075,156,723,412,774,145,994,659,360,477,258,298,738,963,532,084,712,361,055,
689,990,396,067,000,746,427,559,312,988,042,997,230,151,642,885,070,261,108,
945,671,604,897,892,904,137,320,798,136,953,989,397,315,860,215,245,128,544,
023,726,130,138,019,556,505,881,666,126,405,507,310,187,788,991,451,866,927,
945,036,755,021,760,571,108,457,547,017,803,010,826,871,749,841,108,024,475,
568,895,882,293,374,197,161,528,937,460,167,125,741,028,019,781,997,025,886,
415,326,401,877,750,149,676,211,466,508,269,132,165,575,770,979,245,473,072,
664,373,183,888,784,491,819,940,966,490,208,842,598,617,555,586,240,859,815,
714,879,949,168,130,468,592,142,399,254,116,619,347,980,047,640,766,075,030,
353,640,379,476,236,668,242,346,189,902,315,420,443,990,108,914,914,319,763,
265,134,853,922,496,129,801,744,363,490,991,053,378,922,270,107,577,904,378,
942,813,446,927,689,698,469,993,827,537,385,248,187,810,576,851,390,594,336,
950,635,814,141,175,908,532,205,191,709,976,578,624,471,226,706,368,467,355,
805,979,787,746,727,586,316,255,258,801,587,931,724,683,161,531,329,984,605,
242,631,639,390,979,610,883,137,443,818,042,353,572,201,458,066,710,060,746,
473,748,515,990,522,614,622,950,821,486,118,715,908,717,874,728,515,750,421,
096,888,374,903,254,489,819,786,100,262,467,607,803,321,829,693,673,772,755,
253,065,119,521,812,599,191,042,006,777,957,908,992,987,096,937,965,572,162,
369,938,454,540,381,132,161,756,561,569,038,817,405,433,557,334,420,549,187,
790,808,132,551,291,742,647,712,091,085,821,990,484,981,746,853,672,685,244,
652,936,193,541,033,297,679,002,066,474,163,733,921,880,711,761,855,993,128,
784,303,288,872,618,538,498,391,013,727,593,686,793,993,673,789,444,916,328,
989,722,781,113,118,277,547,008,957,988,607,951,188,359,308,610,677,675,097,
725,647,716,853,706,950,989,875,719,892,183,358,828,666,465,896,005,168,266,
974,190,988,467,688,314,487,454,923,391,030,913,200,789,329,708,002,198,334,
188,539,068,026,407,195,632,275,786,846,997,998,521,836,443,343,368,328,294,
035,700,340,025,218,892,146,199,736,380,781,486,299,484,234,398,820,094,227,
086,926,594,783,057,586,629,819,920,043,869,509,585,103,803,718,800,201,202,
533,319,988,808,120,248,801,550,557,051,148,603,233,201,728,484,196,285,314,
698,092,190,037,108,077,802,454,220,427,002,944,955,525,268,685,026,811,394,
085,784,263,646,591,893,254,524,805,509,123,394,681,189,508,957,560,117,939,
570,769,792,121,126,803,347,485,782,591,350,366,408,576,100,840,982,032,780,
023,775,188,121,381,090,462,970,564,293,199,694,901,340,928,172,219,004,506,
442,771,487,552,795,665,813,291,629,597,985,506,553,854,780,751,388,854,401,
422,179,625,012,898,223,511,094,867,647,322,062,789,624,195,155,358,964,348,
100,514,825,545,604,625,702,225,968,591,255,819,635,787,647,713,639,940,523,
207,781,922,569,808,147,567,061,254,233,784,771,086,318,546,300,113,769,918,
781,728,329,552,556,141,401,660,909,710,050,670,149,180,272,121,009,554,787,
881,676,278,188,673,289,438,113,799,155,473,237,747,607,564,771,651,024,063,
939,079,089,000,797,549,941,426,904,691,859,493,232,333,247,395,683,507,010,
477,948,102,684,215,848,977,199,343,046,025,414,967,220,547,834,171,013,761,
115,148,746,759,896,373,149,594,270,978,625,083,267,584,894,837,868,373,951,
296,916,756,209,557,460,689,727,940,649,810,533,429,697,709,223,377,307,583,
278,365,950,168,925,012,362,591,333,536,391,946,155,672,308,984,206,109,474,
218,784,873,697,055,655,199,354,067,418,486,705,291,521,670,583,291,414,516,
297,263,908,888,175,360,277,971,716,790,111,615,792,004,769,003,935,408,642,
576,008,342,014,626,201,114,535,652,895,659,406,579,984,628,884,908,486,778,
818,725,336,862,878,810,140,671,575,323,249,825,659,626,865,022,459,501,446,
464,943,561,567,598,902,707,349,241,375,598,650,490,282,775,529,874,278,675,
247,415,286,062,866,755,714,532,690,411,438,280,109,365,614,202,405,554,166,
580,787,997,538,608,717,780,223,779,241,337,446,323,150,253,061,120,348,245,
149,128,828,778,393,469,728,400,518,357,920,844,516,819,858,528,831,484,356,
256,640,239,151,427,900,195,559,111,529,861,884,134,813,369,951,779,839,979,
609,803,974,592,573,970,164,159,891,880,351,946,707,465,240,332,646,527,509,
808,998,313,724,397,181,624,731,104,815,398,569,898,151,971,117,775,715,042,
646,439,187,920,864,143,331,037,218,949,075,246,929,415,383,785,992,038,035,
286,188,057,411,865,791,659,155,442,404,286,893,069,409,251,185,215,129,009,
358,078,415,415,920,843,090,140,189,770,869,185,638,409,764,741,363,686,894,
657,035,505,059,658,423,083,294,452,013,981,862,610,415,626,553,421,125,233,
742,162,174,126,687,295,519,224,527,439,098,845,009,198,595,951,788,299,608,
429,142,808,643,596,483,982,133,410,003,812,270,363,045,310,969,870,186,622,
723,324,361,496,797,095,334,144,677,508,046,599,704,166,768,835,018,635,808,
456,744,625,916,219,077,632,055,738,021,289,509,106,955,382,960,816,184,733,
864,713,608,124,594,558,880,596,483,359,707,967,793,057,356,056,790,762,893,
759,107,687,651,212,665,009,655,596,817,954,105,190,113,061,889,489,678,573,
367,536,112,212,363,083,560,201,581,577,444,150,333,271,285,010,862,765,669,
436,260,983,884,269,582,087,642,229,598,211,868,053,110,409,332,216,562,272,
850,539,949,508,610,158,636,801,550,897,361,343,903,229,942,722,617,026,854,
506,700,654,484,189,679,158,318,460,706,457,182,012,792,633,114,831,755,412,
596,780,319,700,510,728,786,511,006,723,493,621,414,691,290,416,292,655,495,
924,323,477,623,435,466,755,982,357,027,171,099,838,436,632,317,314,660,838,
189,269,370,908,145,141,422,821,407,940,970,307,981,432,368,489,356,433,399,
606,458,516,790,700,168,222,717,555,957,833,929,184,109,331,347,131,827,477,
272,887,567,786,767,999,159,382,543,572,051,932,686,123,398,521,919,186,396,
174,975,090,370,112,452,444,416,059,099,196,004,645,093,985,566,628,710,222,
967,657,646,016,383,272,916,381,711,688,040,417,478,231,502,623,550,440,621,
632,118,708,769,739,286,474,383,254,965,039,312,969,517,348,070,990,483,073,
324,817,773,584,290,024,501,117,552,256,065,545,462,684,401,294,840,733,486,
967,219,857,693,366,432,868,995,318,903,098,125,431,333,578,850,814,813,354,
967,114,995,501,267,272,995,190,409,177,901,602,126,973,166,985,854,560,874,
055,843,702,799,317,804,533,781,651,012,130,291,344,792,305,963,977,190,936,
977,328,081,099,963,299,214,048,139,587,795,278,036,300,435,585,295,177,732,
414,901,429,148,849,884,684,022,058,346,322,678,239,120,439,078,822,673,148,
340,960,189,260,874,503,729,117,479,140,749,036,209,215,412,804,839,658,569,
806,123,816,205,880,928,554,523,778,263,110,807,843,007,572,239,032,515,960,
855,157,223,195,786,765,875,761,329,884,619,836,750,757,420,908,417,743,608,
088,534,360,816,891,387,364,467,374,719,017,992,340,300,324,131,127,314,329,
598,536,289,059,377,834,959,685,611,126,312,718,253,719,174,812,574,549,980,
490,397,395,475,759,723,129,061,280,458,684,868,357,681,279,455,303,458,759,
587,555,380,345,422,027,791,725,233,634,791,736,785,648,074,142,515,847,432,
770,384,785,317,691,344,293,809,867,596,222,966,059,053,826,862,225,327,251,
735,654,634,545,539,835,015,866,706,307,263,853,408,324,962,351,928,689,695,
706,133,617,890,182,674,972,432,139,529,402,512,963,588,112,904,557,823,454,
469,632,961,435,387,678,976,008,632,569,369,680,357,490,413,211,868,964,726,
517,925,776,595,404,810,579,436,921,283,269,429,517,514,802,225,355,357,170,
222,757,346,363,314,927,425,221,647,340,844,377,263,686,645,768,697,283,980,
803,028,674,220,025,057,703,068,001,947,940,053,779,677,014,427,795,613,766,
888,313,333,663,688,025,667,154,430,055,993,110,379,127,948,623,283,203,124,
727,969,418,029,802,520,089,388,762,689,405,364,026,989,733,527,964,873,650,
353,997,834,937,897,785,136,615,751,738,727,618,009,341,350,977,377,096,325,
193,720,984,048,768,651,827,747,352,868,771,052,432,910,055,296,591,810,736,
999,561,940,545,947,011,069,537,827,582,559,993,229,871,642,723,414,403,658,
344,179,175,165,047,880,333,224,753,837,892,211,411,911,867,591,589,320,591,
905,745,292,709,380,176,212,287,610,873,858,352,277,991,528,744,342,264,605,
267,243,516,498,493,295,027,297,564,067,320,127,722,895,518,902,168,497,885,
308,236,493,268,567,827,002,213,021,409,431,312,191,010,130,063,710,984,454,
534,717,495,533,925,088,043,078,731,869,670,122,487,352,338,891,095,421,711,
936,171,600,430,778,783,013,511,397,805,069,661,636,601,280,449,201,230,846,
408,486,199,685,351,021,545,892,254,143,588,606,125,726,827,340,395,286,886,
648,390,173,469,765,992,882,474,792,897,219,710,709,935,727,070,348,301,692,
411,916,581,357,192,810,745,026,832,331,812,822,335,791,156,754,854,821,613,
750,145,021,481,607,042,403,113,233,225,496,424,423,619,190,962,262,860,009,
674,965,551,562,361,482,590,297,592,060,363,694,870,334,353,578,957,026,784,
664,153,186,752,228,112,935,417,842,932,291,598,136,172,293,450,663,443,726,
146,635,760,141,369,304,386,952,746,687,835,434,528,122,882,480,821,590,649,
210,588,976,230,806,321,354,614,622,602,367,706,558,852,351,105,477,665,725,
630,399,251,500,178,072,449,514,139,772,613,594,072,279,878,198,044,972,813,
242,588,921,147,739,832,916,041,019,564,116,466,014,897,574,310,840,021,113,
846,058,960,910,009,330,256,582,161,475,993,375,074,398,822,830,694,313,905,
478,574,072,839,146,279,624,058,621,383,524,160,197,479,455,908,980,644,764,
532,268,066,033,163,410,038,892,662,078,729,151,457,787,897,143,864,517,341,
527,049,753,995,888,662,132,028,807,628,635,171,135,465,169,475,886,168,825,
434,327,307,834,129,827,565,779,861,075,369,255,445,521,920,778,401,266,746,
916,805,323,667,677,136,783,354,600,913,194,597,871,999,034,437,504,433,515,
647,950,446,335,702,187,188,940,583,696,888,183,260,946,433,664,901,784,513,
893,847,325,110,916,808,712,955,834,192,246,126,753,268,313,666,409,885,030,
189,735,191,486,971,379,749,682,088,267,056,659,758,248,719,149,354,793,452,
667,922,701,170,078,328,215,407,661,667,994,516,006,504,516,271,881,743,873,
523,808,327,263,469,123,671,998,095,648,124,456,701,336,665,697,112,053,399,
454,793,916,324,791,641,630,993,122,437,047,738,087,914,803,001,089,300,833,
427,382,736,246,329,595,179,628,257,373,510,116,500,058,312,871,335,383,247,
502,806,691,096,569,698,390,736,559,434,243,689,522,476,549,607,186,359,687,
547,489,935,656,865,055,095,080,231,513,475,633,511,352,580,876,164,479,712,
550,845,670,415,987,414,574,961,859,024,439,967,410,053,557,726,875,469,050,
825,051,208,460,736,611,973,781,566,225,531,931,664,760,612,438,064,792,994,
441,931,058,389,339,227,405,671,376,358,480,724,756,938,989,486,215,220,069,
145,414,674,283,233,529,625,198,511,589,673,418,165,536,923,048,666,015,898,
382,063,126,479,438,379,981,395,290,499,811,463,797,259,215,891,009,721,901,
910,845,682,814,129,964,106,788,950,683,641,596,445,414,068,143,695,667,317,
994,997,345,388,765,406,363,188,766,786,917,788,295,664,953,626,096,803,486,
124,585,929,244,540,888,064,020,337,345,597,171,816,096,614,958,666,749,690,
617,528,284,791,756,329,746,948,666,119,042,132,036,892,527,585,279,206,206,
801,925,681,396,649,180,187,318,655,146,449,027,064,881,839,527,960,630,615,
622,589,619,534,156,660,525,919,240,251,313,066,927,295,254,474,905,151,857,
309,563,242,457,061,236,030,029,819,707,624,919,457,657,214,603,474,494,393,
717,675,316,481,105,245,360,861,860,870,185,606,755,892,486,264,536,324,862,
205,579,637,743,686,018,625,197,323,723,735,318,937,586,348,519,644,266,260,
051,499,635,783,379,237,240,687,008,172,803,862,159,092,958,979,232,807,894,
629,569,857,064,311,801,128,616,654,368,682,226,725,329,072,371,824,950,378,
952,671,076,668,324,969,826,446,359,118,585,067,367,385,888,974,794,097,874,
257,856,400,674,802,942,295,732,654,141,766,973,546,545,655,006,654,027,407,
159,423,646,713,359,227,511,752,697,748,735,151,695,298,031,726,556,737,682,
728,358,551,683,281,209,013,268,494,826,379,236,464,754,167,100,937,670,503,
448,684,693,751,605,731,083,279,101,960,826,469,582,663,266,380,454,300,721,
168,097,819,731,086,408,982,664,572,485,412,768,267,985,460,733,214,561,403,
029,374,550,228,462,364,792,493,155,224,289,086,125,799,675,225,608,832,772,
507,228,456,314,298,945,027,425,020,557,713,558,022,071,929,619,645,094,236,
069,627,958,345,910,766,232,672,515,918,498,700,016,396,211,584,472,231,448,
085,321,647,319,219,746,549,945,115,559,038,334,813,230,044,872,730,804,364,
207,629,377,522,418,838,854,960,038,753,576,798,575,499,365,223,718,772,406,
039,309,249,241,330,674,086,030,894,470,293,812,577,681,932,253,761,420,564,
477,771,754,809,740,933,089,283,313,527,633,724,335,156,302,117,308,465,789,
242,369,331,357,027,666,393,255,676,148,930,666,161,570,666,563,081,739,605,
357,376,767,117,700,678,278,216,797,820,652,815,981,334,089,122,033,970,771,
763,672,354,912,795,792,230,338,975,149,668,411,686,826,462,435,714,784,987,
563,909,277,437,124,199,778,841,972,763,605,277,373,524,722,279,712,642,945,
608,380,779,762,238,532,806,909,629,661,092,460,464,347,973,327,104,095,788,
606,853,807,696,616,163,303,934,629,126,576,044,898,174,957,956,104,770,897,
164,461,701,420,546,137,296,434,242,486,042,805,778,178,238,621,853,301,441,
898,461,061,798,514,475,501,604,691,373,147,834,095,696,033,000,421,813,051,
458,810,528,027,199,527,495,106,732,340,726,779,052,685,980,853,218,455,853,
920,513,782,094,711,593,508,567,530,571,172,754,283,352,752,716,779,307,457,
555,394,362,403,896,938,568,736,501,186,401,100,788,734,387,080,951,416,871,
339,736,086,810,341,614,851,060,026,892,861,888,378,332,617,645,257,757,803,
615,917,451,697,696,210,576,066,553,239,776,938,459,859,582,261,999,601,127,
955,257,200,412,464,303,873,581,038,309,413,790,046,614,883,532,126,703,473,
686,147,744,466,977,109,990,603,831,878,271,008,262,711,545,150,656,597,668,
026,766,804,695,512,293,827,000,872,526,943,667,936,734,987,353,466,620,415,
024,149,642,456,744,222,501,854,164,581,862,507,200,814,761,592,444,825,309,
720,708,845,272,361,030,950,516,025,790,577,806,041,891,683,209,590,833,431,
453,375,192,281,925,649,393,691,130,293,490,549,786,317,201,019,349,919,196,
980,786,324,180,274,116,294,171,768,402,182,541,621,580,832,577,976,394,876,
518,998,642,876,873,704,489,554,800,303,287,575,893,707,107,099,665,639,489,
833,381,158,352,484,776,516,321,495,497,635,330,526,769,317,819,811,970,449,
094,509,715,074,043,464,154,186,074,058,186,670,541,720,482,111,548,195,049,
484,063,606,602,773,199,133,564,557,744,952,181,940,912,406,170,093,524,856,
176,560,705,840,626,736,394,305,236,919,678,038,225,566,587,729,950,543,125,
532,625,641,457,702,169,988,777,563,020,200,719,455,185,849,316,086,931,372,
496,242,203,823,006,574,329,200,156,070,657,050,434,438,978,251,424,575,308,
936,940,734,013,250,485,207,150,747,023,367,298,436,200,693,827,932,448,449,
032,603,395,265,761,677,447,565,033,933,383,722,398,718,217,957,914,604,227,
582,545,173,961,412,729,930,892,774,943,000,797,512,750,386,231,025,822,310,
666,846,257,229,633,113,962,494,670,829,372,895,351,146,752,193,413,233,389,
808,811,471,793,297,990,213,982,256,601,399,945,640,381,504,620,729,049,518,
746,379,099,071,791,714,905,438,644,958,371,098,884,861,427,095,569,893,650,
634,499,587,521,740,752,406,892,146,441,928,733,405,798,219,653,122,103,648,
098,625,035,299,291,979,396,667,991,217,546,167,182,061,734,279,886,721,195,
046,461,360,571,238,294,404,538,480,274,476,474,873,801,582,673,117,921,305,
629,416,879,603,721,267,853,352,784,716,972,367,330,822,208,968,486,761,439,
360,029,340,401,108,958,733,646,395,083,916,128,316,032,541,846,330,925,421,
346,261,427,394,746,200,769,441,284,592,515,073,052,476,458,858,472,092,744,
804,991,090,801,874,898,617,540,010,755,256,067,214,142,320,051,225,298,932,
673,220,150,474,518,052,293,415,489,036,877,170,852,961,436,414,887,409,388,
621,910,206,955,357,920,088,165,568,178,851,811,624,543,531,462,468,374,698,
796,940,942,978,041,087,883,505,212,515,815,035,264,234,294,266,532,657,585,
363,121,446,943,649,524,896,509,409,586,057,124,283,694,313,111,909,336,886,
736,189,254,086,483,517,727,332,959,706,929,467,602,513,377,841,033,774,093,
226,620,147,424,487,619,923,458,473,493,647,732,528,747,237,813,386,806,027,
819,883,860,785,431,524,178,525,574,895,980,945,223,029,587,627,166,888,733,
723,166,896,109,753,743,660,603,069,050,459,474,616,810,431,953,780,691,936,
741,666,532,658,505,242,234,408,423,098,079,377,266,879,302,505,538,972,841,
438,176,665,604,434,891,715,249,420,108,510,372,785,711,288,331,186,997,047,
928,403,138,976,936,654,746,451,700,010,868,500,057,180,683,207,109,834,119,
101,177,035,328,225,428,444,111,824,541,308,882,551,467,408,218,624,877,276,
815,008,996,642,572,997,577,745,212,305,715,758,386,173,321,822,407,642,607,
808,623,943,898,247,968,270,113,022,066,393,965,464,236,475,007,495,047,777,
049,158,097,988,698,437,745,915,250,628,857,837,206,227,067,180,389,205,980,
946,193,794,972,141,261,324,994,095,107,275,919,149,613,793,335,981,650,769,
717,072,534,873,187,939,252,785,470,040,093,705,688,090,692,169,458,341,934,
837,835,418,904,975,539,134,197,484,115,156,384,710,233,643,243,024,014,399,
846,804,957,631,334,854,817,319,127,292,495,968,608,590,412,599,168,702,762,
068,232,258,175,741,128,051,720,398,100,749,535,107,207,918,970,218,644,762,
962,994,390,032,256,291,382,750,265,341,106,898,522,766,854,639,188,199,530,
717,569,158,741,068,274,203,124,539,662,348,408,449,920,025,921,408,274,538,
353,977,722,733,056,185,355,642,596,928,081,730,710,726,935,446,359,635,462,
251,661,188,965,543,577,375,411,079,962,580,157,359,161,936,492,950,665,171,
888,890,701,571,009,254,274,712,188,492,851,969,581,562,459,362,569,270,897,
824,490,174,224,152,868,266,081,465,598,428,552,842,688,038,686,889,061,608,
706,670,651,949,022,702,156,767,626,139,616,234,987,071,650,285,953,336,184,
783,004,387,493,188,849,674,524,425,301,391,380,959,293,023,989,747,881,888,
482,852,270,062,260,633,467,881,718,332,585,040,035,569,342,138,468,814,590,
390,249,440,183,106,964,734,790,034,489,114,799,933,194,801,398,979,854,945,
037,009,837,425,343,847,860,312,056,636,791,373,721,386,695,406,122,132,064,
484,204,081,862,248,571,480,655,004,956,208,773,351,785,103,854,464,212,030,
983,751,719,755,049,687,433,564,327,775,854,811,366,765,776,228,102,239,464,
805,106,017,890,676,107,962,307,175,525,310,847,864,133,305,671,312,577,055,
594,421,450,620,937,365,949,604,982,285,307,739,091,883,892,980,006,069,291,
826,421,296,755,877,469,202,305,975,451,159,691,320,950,627,301,370,066,641,
062,492,261,886,659,253,759,265,183,787,931,574,882,195,735,632,494,380,176,
580,326,523,973,664,161,651,129,227,475,117,435,310,398,573,207,955,552,834,
142,096,713,581,640,793,461,200,076,434,165,564,190,967,861,466,670,973,709,
591,243,150,918,537,163,218,301,298,279,304,038,517,933,727,360,565,451,778,
519,357,906,694,610,094,274,923,447,400,898,934,578,346,314,877,640,824,464,
757,114,518,606,440,040,352,295,263,473,754,461,550,043,232,065,956,016,310,
630,453,302,173,283,290,557,031,668,702,684,685,177,428,799,213,302,424,632,
058,162,388,955,453,769,986,143,782,550,636,855,015,093,414,143,579,476,298,
635,747,773,377,639,441,003,618,088,706,831,366,552,808,251,586,008,985,063,
388,830,225,435,845,007,080,247,492,223,495,526,702,131,020,358,744,326,713,
481,582,265,739,318,985,518,611,674,093,414,688,277,178,672,108,854,121,863,
720,901,427,820,457,995,248,516,509,115,450,461,938,244,269,872,019,135,105,
523,859,253,839,205,666,504,100,237,126,217,591,091,154,336,485,614,767,440,
097,303,780,316,586,540,385,994,816,332,168,510,506,423,097,915,821,352,029,
694,672,858,343,333,173,035,720,853,632,522,474,856,733,999,442,727,568,167,
933,552,627,398,592,634,079,474,500,930,084,410,125,603,221,500,996,845,615,
279,635,913,062,241,079,961,085,887,896,870,980,670,276,894,646,840,161,506,
127,403,945,304,890,182,810,545,298,113,267,053,383,901,556,118,692,364,144,
673,931,555,421,410,165,063,924,682,146,474,960,838,925,152,113,551,442,778,
089,319,503,776,085,151,955,459,177,631,099,998,660,855,540,789,513,716,142,
616,965,570,763,147,910,322,860,869,267,622,517,161,902,508,678,581,318,711,
508,165,797,170,132,069,543,444,596,755,238,499,564,690,942,887,084,235,915,
377,854,250,652,997,918,161,933,697,855,852,449,821,765,638,603,143,651,398,
056,400,391,168,133,316,166,052,849,173,345,246,778,061,032,831,533,122,077,
338,028,598,401,984,050,756,327,846,240,259,697,488,482,521,581,180,592,665,
679,342,868,546,067,481,850,297,695,341,086,637,743,784,580,177,049,344,707,
500,014,213,519,892,694,689,924,816,703,523,518,641,728,270,676,565,506,993,
525,242,693,483,346,906,409,235,419,515,348,976,902,141,989,973,135,513,857,
857,781,042,772,108,270,018,763,554,933,687,451,614,370,747,945,046,208,130,
260,369,620,977,298,263,359,835,339,997,911,940,136,776,241,943,933,242,439,
418,601,546,707,105,720,958,093,504,048,568,361,545,900,649,652,579,756,021,
596,847,314,569,909,331,265,866,256,322,474,673,635,581,700,325,882,844,939,
055,445,165,505,344,950,085,077,624,834,621,329,729,499,207,967,714,778,862,
331,640,833,959,611,061,524,456,414,221,380,629,791,902,646,643,192,288,562,
450,410,228,375,886,588,970,192,683,358,614,922,555,403,265,674,408,800,950,
857,304,412,942,807,231,128,998,932,987,594,509,888,973,438,555,083,888,865,
090,690,505,280,505,474,071,088,213,302,174,101,269,163,754,633,147,517,265,
796,903,123,562,866,695,965,203,438,375,660,714,339,001,279,011,868,908,009,
010,340,718,919,740,305,531,976,515,625,735,079,779,442,908,663,264,388,635,
361,169,884,918,306,914,490,370,930,913,429,642,631,181,815,592,411,675,515,
351,643,770,511,919,837,868,922,644,969,152,030,415,476,887,895,900,557,141,
281,039,787,440,376,890,579,767,960,800,645,269,403,149,041,614,627,019,514,
145,159,955,096,403,087,129,688,170,268,077,556,937,891,912,980,118,554,315,
507,900,183,761,999,874,321,394,650,144,386,836,683,545,597,026,589,765,589,
734,120,522,942,596,250,730,842,569,081,013,877,928,717,686,440,347,134,113,
218,874,877,723,024,166,637,990,035,892,849,608,358,277,778,297,360,550,079,
772,987,750,085,222,296,621,150,196,138,736,124,993,281,467,692,741,344,743,
479,461,763,886,530,863,370,264,363,194,625,299,018,503,378,869,317,045,346,
667,895,370,809,036,564,252,440,087,310,678,801,773,245,759,721,346,113,859,
109,692,728,547,297,729,817,939,774,680,297,960,612,561,481,493,569,625,767,
967,210,784,621,417,991,180,943,707,223,262,819,201,374,527,784,746,553,151,
423,227,377,227,529,873,111,548,904,532,008,003,884,541,847,723,723,151,229,
126,941,553,601,751,648,282,383,845,443,252,801,347,045,392,055,162,246,911,
771,346,406,806,787,414,592,364,870,434,078,583,123,235,376,673,761,073,078,
515,427,836,981,690,601,636,758,094,895,100,992,562,704,576,025,865,033,320,
554,054,094,393,668,233,805,363,581,811,726,831,486,665,372,261,872,837,914,
958,315,582,260,692,351,360,368,062,442,820,365,505,147,427,263,846,368,067,
433,874,799,878,765,089,200,625,200,576,455,052,879,757,775,217,969,418,315,
089,217,549,932,812,564,462,172,926,834,629,520,903,513,825,756,051,027,197,
658,232,448,479,147,069,140,687,223,674,471,895,692,293,920,257,126,702,809,
115,251,320,645,156,000,550,345,045,629,143,087,757,343,667,201,603,030,483,
546,884,689,345,529,262,132,971,229,423,482,261,018,557,283,634,754,764,671,
584,112,268,426,035,369,530,264,411,334,205,497,144,753,878,043,274,722,140,
003,626,237,824,987,646,135,450,629,397,733,158,869,495,227,439,355,608,491,
447,765,151,609,164,812,522,120,087,245,045,981,310,681,282,100,152,987,702,
834,939,035,236,794,722,790,000,905,588,195,784,455,546,314,597,620,053,881,
348,675,978,971,809,709,366,836,500,401,897,231,853,825,236,340,643,337,836,
907,073,294,372,859,469,460,124,339,675,938,534,584,388,939,052,107,783,559,
953,173,316,086,791,415,063,948,121,700,347,329,866,375,787,366,158,647,997,
989,452,405,274,615,150,807,093,331,089,379,906,373,370,402,957,077,949,644,
723,344,441,041,100,918,912,142,789,266,022,379,751,020,225,696,840,488,301,
118,375,168,409,350,325,966,061,306,051,308,460,028,730,517,848,979,954,649,
604,551,673,295,018,111,665,046,761,712,036,831,160,850,596,379,649,762,503,
375,309,808,099,957,343,089,518,828,875,514,049,469,700,973,789,104,327,618,
786,472,529,916,289,846,154,060,996,783,236,805,706,274,090,837,458,724,596,
222,011,791,198,774,371,424,216,539,698,842,935,672,439,354,526,193,703,716,
185,480,435,479,323,559,843,205,683,693,002,169,126,358,360,944,728,471,499,
153,685,564,283,671,912,994,137,984,591,285,692,426,752,420,106,103,237,019,
469,012,699,009,720,102,923,458,117,801,544,147,049,829,985,871,468,019,813,
678,061,599,698,355,051,282,927,334,060,238,973,025,743,648,775,761,171,768,
821,513,017,941,852,191,609,547,461,700,620,349,536,985,484,837,230,046,863,
966,118,758,426,554,551,930,131,753,241,865,154,790,580,610,263,377,752,850,
639,935,443,661,087,022,748,613,349,018,977,347,916,953,652,745,091,510,454,
125,019,653,954,915,560,456,153,540,135,836,024,590,231,713,761,364,658,658,
602,849,334,026,837,109,142,727,059,345,273,363,119,721,937,360,751,730,615,
368,208,762,906,984,261,148,995,906,242,083,548,375,799,984,876,603,429,767,
171,800,133,948,534,552,479,393,653,034,996,068,646,032,112,633,690,905,459,
051,932,486,709,679,016,448,795,495,480,522,549,407,093,404,716,550,507,754,
886,356,117,089,974,355,318,519,123,020,655,155,138,349,113,505,172,468,292,
366,328,410,567,539,353,267,985,482,647,888,620,512,346,717,414,343,845,336,
096,601,905,950,974,812,602,144,891,272,489,522,376,608,066,086,541,464,732,
885,183,820,768,472,529,922,010,670,836,988,308,095,315,015,699,866,434,555,
064,950,551,901,342,682,169,306,629,286,696,388,619,350,160,219,935,873,844,
425,607,323,225,852,347,859,715,571,999,579,275,615,709,290,037,224,867,464,
298,208,945,008,747,631,895,097,368,949,548,876,248,453,204,935,747,653,485,
300,162,440,490,278,592,128,921,907,079,307,610,642,831,953,638,731,711,548,
394,546,246,880,324,028,156,724,398,338,794,098,589,452,979,849,358,443,580,
728,374,975,009,157,427,655,055,168,320,630,287,229,137,376,447,577,969,480,
463,290,608,826,943,448,786,821,679,747,474,658,576,655,573,261,357,697,770,
180,612,732,260,051,693,939,578,141,131,236,016,822,152,447,560,915,328,485,
696,595,736,116,776,292,983,848,658,007,733,602,305,115,853,951,217,687,811,
360,798,113,840,155,064,617,540,851,841,280,231,056,587,952,846,033,201,918,
919,360,684,553,043,213,834,460,918,861,635,324,700,448,460,918,045,155,982,
237,542,135,863,180,631,330,628,406,734,904,803,379,639,732,853,829,062,069,
770,264,392,727,014,889,758,086,397,647,423,938,680,433,852,249,845,317,796,
327,866,535,548,222,837,709,661,716,371,667,620,196,363,202,625,501,706,940,
256,345,415,102,324,140,958,706,896,660,812,952,943,417,807,548,573,511,077,
207,911,596,240,957,254,457,126,058,650,182,197,809,566,459,460,829,424,744,
968,896,411,249,918,572,877,720,456,719,963,160,841,957,965,541,962,977,093,
332,286,117,076,619,425,355,722,528,821,346,321,465,512,754,338,074,526,202,
199,010,361,778,975,616,810,061,556,936,172,680,391,088,899,148,164,233,405,
556,461,958,181,843,794,636,516,955,312,961,640,250,585,421,076,147,183,164,
050,955,750,831,818,428,365,091,568,879,538,833,404,427,137,893,728,842,730,
986,362,760,467,552,133,550,514,814,016,904,181,701,142,936,604,720,862,341,
196,313,699,896,251,837,944,058,499,445,136,206,661,407,063,009,877,935,342,
924,143,253,915,120,554,821,192,328,193,486,235,090,074,527,711,108,285,449,
541,119,892,701,954,689,628,578,362,540,692,772,412,721,540,738,858,453,863,
219,329,993,530,863,141,892,280,179,214,485,414,590,420,103,017,418,415,206,
030,661,030,543,152,553,564,946,146,460,390,530,027,936,991,813,950,196,842,
296,041,832,402,453,110,335,409,500,182,795,516,613,450,295,519,372,150,459,
456,258,258,992,230,451,203,506,546,536,739,626,693,731,059,660,988,027,147,
272,397,881,909,436,139,723,471,026,856,763,293,319,946,080,892,424,269,095,
624,497,301,477,863,053,216,561,237,316,933,508,281,172,359,678,283,195,641,
037,984,594,577,598,272,297,811,862,881,713,602,672,769,312,067,111,515,265,
851,972,720,454,645,538,326,531,539,422,034,081,602,711,934,705,395,310,711,
027,562,469,201,224,929,806,432,940,173,348,439,702,611,853,969,544,649,987,
682,809,441,130,298,940,273,018,759,824,607,934,949,862,630,338,800,513,352,
253,770,583,849,582,033,310,352,337,069,410,920,551,647,181,840,894,190,649,
709,982,090,216,527,315,582,684,518,559,736,875,676,818,182,100,423,225,625,
311,670,474,022,754,247,878,106,206,635,163,401,998,653,633,318,588,214,088,
693,004,860,974,695,381,976,908,204,186,124,259,974,025,601,998,877,475,987,
081,577,575,596,764,667,007,222,221,342,973,211,768,733,634,684,092,423,014,
073,209,366,574,606,824,897,336,094,808,601,235,310,494,947,181,566,058,963,
850,560,807,709,101,902,342,054,391,021,249,418,606,531,363,379,505,929,094,
754,959,086,263,877,698,279,247,562,444,710,920,995,777,773,500,736,279,595,
642,149,285,920,210,134,911,189,761,760,331,632,868,825,000,855,114,373,758,
351,465,674,204,077,904,947,010,678,387,488,243,711,383,852,273,142,202,850,
543,098,055,559,740,464,947,777,779,081,565,704,045,748,363,301,731,348,951,
296,826,868,077,383,110,980,996,126,240,066,540,020,686,858,282,044,434,282,
140,037,190,887,260,346,027,143,155,737,449,564,396,265,982,838,222,426,082,
606,654,739,598,634,342,723,865,411,304,330,019,731,844,732,070,152,990,906,
421,096,380,565,588,309,930,948,777,039,522,582,173,237,703,271,623,172,407,
504,623,093,706,481,683,173,237,800,905,385,706,055,297,521,993,297,341,380,
821,290,954,314,769,714,794,505,937,653,071,666,144,152,024,780,336,570,081,
187,532,879,517,999,237,517,171,886,532,560,796,082,630,053,677,137,854,934,
911,033,573,338,982,032,243,104,893,398,418,839,659,208,753,472,732,941,158,
942,411,769,679,497,264,453,990,636,385,953,576,563,750,615,674,692,568,256,
685,741,415,121,626,472,022,026,391,976,290,467,405,348,971,776,378,922,587,
722,633,062,678,679,520,806,401,125,634,431,153,427,698,941,891,039,634,533,
388,629,839,539,812,893,163,272,089,879,052,033,643,830,325,200,380,706,438,
609,618,016,140,867,914,142,277,512,826,867,358,837,057,192,723,891,157,510,
450,110,226,352,565,193,460,109,397,743,924,163,026,863,251,696,431,374,808,
943,330,877,402,002,833,917,527,348,111,541,297,658,845,711,505,160,793,174,
918,904,737,024,142,052,930,416,584,572,307,828,099,430,922,816,922,396,017,
092,339,435,266,070,709,967,568,048,972,550,451,100,330,506,133,423,664,796,
929,255,787,358,596,653,402,876,705,465,458,295,456,965,861,168,401,595,197,
447,155,941,161,785,698,992,278,814,069,034,202,442,678,806,983,243,390,288,
822,783,502,629,160,826,539,016,376,485,480,699,464,154,998,925,862,627,178,
196,732,585,312,956,244,656,718,342,014,804,526,250,529,543,404,000,166,295,
155,676,677,228,170,336,932,576,785,476,058,914,948,655,635,341,060,721,009,
777,179,303,878,452,322,119,291,702,132,477,964,724,916,959,138,478,221,975,
789,653,169,852,106,202,433,160,529,537,559,961,998,131,700,191,266,080,644,
439,355,255,255,908,564,940,837,181,775,138,703,736,759,944,749,644,939,524,
999,562,480,478,626,596,759,104,107,929,641,028,769,979,191,784,528,987,022,
816,135,410,379,539,059,931,325,127,143,231,464,615,171,037,856,274,786,806,
759,830,880,316,916,747,146,040,098,756,491,685,203,094,816,208,481,476,176,
725,853,602,948,352,206,184,033,387,000,027,727,794,094,774,772,132,046,386,
156,565,118,184,654,894,465,513,774,756,744,891,108,798,247,408,512,892,028,
422,055,286,343,360,897,345,134,999,266,513,118,401,999,868,051,294,760,154,
092,362,502,331,067,320,945,464,141,580,687,665,822,107,965,036,769,584,956,
420,938,394,423,863,592,208,671,350,055,980,467,585,656,987,485,479,509,870,
237,736,472,733,501,970,570,227,174,441,106,244,617,614,002,988,230,180,223,
634,314,186,249,843,085,065,358,023,428,838,258,943,992,064,752,413,495,872,
645,319,099,480,005,844,814,387,163,034,458,189,570,471,751,449,906,451,251,
445,327,087,638,372,350,539,179,729,195,783,760,602,812,789,871,183,781,885,
313,553,767,058,535,273,118,455,693,452,389,750,749,240,261,094,586,353,762,
901,285,145,960,251,014,576,866,826,466,683,801,994,123,589,373,528,207,107,
398,488,223,656,976,174,667,609,597,564,411,704,792,708,265,971,608,180,522,
633,048,773,739,441,117,059,123,882,030,893,994,734,319,162,559,069,835,858,
754,768,224,899,126,076,701,177,934,067,049,167,001,314,802,909,807,818,458,
868,131,760,721,067,123,233,918,558,617,033,655,188,109,816,540,174,958,345,
267,028,477,108,440,566,479,631,124,401,574,814,340,335,584,475,555,439,644,
131,088,642,240,005,447,546,831,898,063,136,579,983,822,018,315,298,458,808,
272,394,112,507,426,435,056,365,567,388,667,847,535,508,660,627,834,718,107,
997,393,308,631,131,598,081,007,123,604,060,909,430,492,465,133,595,104,242,
382,170,124,465,884,885,393,505,363,861,495,341,027,941,518,066,963,003,993,
958,731,247,656,650,599,928,294,252,007,130,979,360,797,907,706,241,156,239,
198,531,479,155,624,177,778,303,540,733,307,147,405,770,730,654,421,945,850,
898,870,108,231,469,479,265,593,155,212,578,503,969,517,890,441,489,794,590,
056,078,336,560,111,993,123,822,458,369,167,766,507,340,596,052,666,519,401,
206,748,704,903,887,458,965,931,413,957,347,790,566,986,533,888,158,301,737,
498,158,373,955,924,879,014,236,103,932,638,869,530,488,810,502,361,201,844,
949,003,736,669,632,569,010,355,882,227,712,772,158,978,311,569,040,107,713,
613,455,305,675,823,502,783,543,053,133,665,615,048,372,039,226,420,744,534,
371,705,794,664,456,307,488,098,045,450,151,795,387,843,508,002,853,636,166,
188,674,393,886,761,874,355,292,929,974,674,807,685,892,179,546,056,411,616,
360,059,290,700,277,651,666,059,856,880,471,769,936,568,945,453,354,145,219,
815,471,451,780,247,665,499,334,121,006,585,603,898,653,639,195,849,541,181,
346,768,949,823,392,947,607,464,163,775,649,506,845,890,359,415,264,733,392,
861,923,537,541,519,217,695,202,056,344,034,020,092,222,572,607,966,283,978,
627,875,788,230,788,726,736,529,790,577,875,348,467,634,127,144,301,504,638,
245,304,485,098,187,506,123,630,157,574,082,865,002,245,869,277,385,409,734,
900,393,775,022,685,101,087,767,368,789,952,225,875,081,214,028,625,010,114,
403,915,384,297,539,997,312,930,692,488,678,081,109,893,257,873,043,059,309,
862,912,178,889,896,337,687,139,123,318,224,647,281,172,989,064,705,430,722,
317,751,610,663,201,344,770,556,241,475,107,434,392,855,522,726,546,145,137,
482,227,255,653,708,593,924,884,479,685,700,823,379,122,786,664,817,796,345,
438,393,672,412,847,884,996,258,532,669,855,232,541,829,521,887,168,548,591,
617,194,660,440,768,631,717,606,606,575,987,460,169,511,781,593,519,181,289,
426,464,265,925,919,857,935,820,497,444,260,559,564,249,858,356,698,750,506,
105,915,205,173,169,323,379,684,478,788,747,301,574,575,261,404,311,847,623,
278,023,352,221,536,319,138,385,486,007,439,189,327,816,212,799,989,549,892,
850,499,886,248,928,452,148,679,411,289,587,459,122,698,063,980,074,466,662,
456,092,063,196,247,510,343,999,276,813,794,165,536,487,468,049,796,094,788,
486,333,066,276,503,997,177,701,195,407,812,837,829,027,261,521,529,105,592,
255,133,951,808,628,767,436,457,720,732,360,428,636,171,387,731,641,835,424,
949,203,170,976,451,952,838,762,829,446,515,145,119,614,257,495,845,210,912,
121,364,805,724,673,327,974,110,402,313,920,823,171,175,245,203,131,419,780,
422,238,096,691,164,096,217,537,321,748,209,136,824,156,679,002,973,369,770,
322,609,704,766,413,831,690,271,128,833,912,219,269,413,292,000,457,214,853,
755,982,160,382,306,995,139,646,487,622,320,978,685,140,372,851,388,833,755,
250,331,740,774,987,951,423,221,494,709,259,564,845,125,326,849,810,117,649,
414,535,683,061,617,526,824,807,525,562,894,098,852,488,634,126,267,123,876,
153,708,929,279,840,891,591,760,732,442,427,868,505,932,380,030,583,743,456,
470,777,936,788,423,945,186,222,233,465,921,807,078,493,748,913,934,282,929,
580,312,013,604,657,808,683,162,269,325,384,170,929,629,951,923,350,430,850,
689,333,525,797,305,395,495,567,258,027,463,634,704,352,841,443,679,502,216,
029,077,053,990,006,379,921,356,029,953,714,676,517,212,463,135,842,822,544,
781,886,665,072,176,011,035,826,698,067,225,120,091,507,964,007,082,362,415,
595,243,017,945,842,189,846,765,582,298,059,720,318,942,342,359,301,717,958,
864,303,563,864,416,934,409,910,462,856,369,932,622,516,886,510,693,706,936,
650,733,860,730,800,521,569,113,891,554,657,201,463,231,806,741,862,639,757,
612,276,342,107,978,194,621,566,210,852,454,011,561,803,246,701,188,435,253,
585,699,328,886,869,768,277,833,162,117,825,619,823,292,973,586,081,571,947,
582,907,235,918,378,187,922,728,465,527,791,923,058,837,837,395,336,017,744,
485,285,160,535,121,869,953,317,588,080,914,344,329,794,541,440,136,011,106,
733,434,160,935,522,647,063,449,102,040,115,536,631,583,743,272,079,195,782,
469,555,072,555,665,073,917,953,465,273,590,324,540,779,588,460,268,929,723,
190,746,552,192,336,380,590,588,506,823,907,788,131,609,209,128,829,807,205,
381,627,767,604,170,953,338,574,029,450,066,453,680,538,274,030,144,497,785,
773,316,510,673,367,594,309,086,574,686,116,977,816,803,914,996,599,854,445,
021,147,055,739,662,101,525,314,240,996,721,057,573,380,016,315,999,663,573,
722,416,260,261,784,450,305,616,778,892,091,721,126,113,902,096,037,905,219,
527,174,517,935,092,640,396,417,907,294,849,295,035,919,731,505,791,213,501,
529,870,145,666,217,721,320,167,789,201,336,467,085,340,405,020,154,853,055,
010,394,038,388,105,989,545,278,821,759,434,460,345,757,908,704,835,139,123,
669,355,291,708,971,828,681,004,927,657,701,566,102,166,764,893,586,023,446,
992,100,039,440,577,567,094,097,548,105,969,904,549,168,719,981,453,678,449,
559,663,074,975,355,165,174,685,544,123,175,375,530,006,507,719,283,436,516,
924,290,608,686,145,215,171,340,398,501,006,337,721,544,862,033,774,753,472,
610,535,103,405,181,380,919,632,201,101,614,158,871,128,666,441,843,202,391,
780,955,813,729,968,207,716,620,752,202,138,170,047,873,192,242,331,536,802,
531,390,468,821,573,330,923,679,024,925,658,160,160,725,815,265,852,772,106,
932,420,716,635,757,523,354,114,845,292,610,114,863,606,659,519,393,812,638,
781,855,944,973,086,676,496,692,493,531,009,885,512,277,264,275,822,106,570,
789,139,294,197,807,794,783,585,708,454,395,690,530,893,006,121,320,338,088,
011,183,688,286,605,977,332,635,336,810,130,054,023,297,681,941,828,354,894,
968,029,120,252,140,094,351,566,451,347,266,794,135,545,077,327,798,181,195,
758,583,777,040,371,478,383,358,940,083,438,863,657,350,016,921,153,424,181,
736,814,280,560,935,668,636,803,862,928,657,630,416,717,232,606,413,523,429,
136,434,289,316,239,872,691,087,430,804,609,624,223,401,440,272,111,419,224,
121,856,573,155,942,234,901,356,014,447,659,942,186,957,048,428,586,220,958,
594,982,146,331,828,749,854,251,260,582,126,061,677,845,818,603,615,192,848,
353,019,617,311,752,544,966,385,733,697,991,492,609,565,239,309,171,564,961,
216,527,589,636,924,872,078,505,514,159,682,687,204,915,123,093,351,061,714,
769,858,180,928,766,795,426,686,947,632,307,881,255,208,521,350,140,261,291,
385,142,486,655,851,714,293,201,761,688,021,348,292,176,686,972,885,166,395,
608,612,739,807,449,219,942,473,384,999,898,604,658,873,086,997,591,199,846,
517,778,395,746,098,528,205,874,979,365,627,316,468,641,402,772,653,841,779,
453,382,482,894,581,066,120,990,236,066,965,800,287,422,141,969,293,136,720,
996,204,464,768,350,592,723,674,456,673,274,803,936,503,725,352,156,081,665,
394,724,310,048,316,132,497,780,257,454,928,896,202,158,564,168,629,987,171,
985,594,859,337,571,002,129,240,223,597,490,457,968,331,144,524,736,422,605,
484,857,020,602,985,976,312,934,817,924,791,381,252,086,244,468,143,974,941,
504,408,700,088,183,960,729,990,997,689,172,886,572,423,081,172,224,239,993,
473,578,878,558,074,285,167,558,561,526,710,011,077,855,153,453,183,498,083,
352,431,000,026,297,648,445,436,520,335,069,438,590,176,118,593,243,821,653,
392,889,373,801,415,754,688,756,233,354,569,953,684,252,044,293,305,824,015,
930,167,174,593,923,755,424,087,820,168,609,947,416,424,935,340,649,531,403,
758,122,545,031,481,515,231,124,485,187,241,015,502,046,423,832,291,503,634,
954,127,616,815,256,413,722,738,012,000,480,269,821,127,791,375,902,232,726,
820,395,117,823,196,831,160,789,798,073,686,759,625,495,389,701,009,045,492,
641,796,894,192,063,267,968,930,063,605,829,695,866,095,537,314,599,756,003,
100,312,806,510,019,265,235,285,702,882,924,556,298,026,111,186,868,227,119,
757,818,714,318,720,545,467,405,092,147,347,906,429,420,703,151,988,680,365,
873,485,866,103,286,237,241,786,257,989,339,265,612,245,417,935,342,338,714,
692,360,031,851,511,164,918,601,708,086,520,602,143,650,487,389,681,719,167,
631,046,436,683,447,304,540,458,698,408,513,369,655,435,189,977,628,991,807,
332,717,017,399,265,402,814,762,657,678,127,282,940,979,310,515,834,630,975,
735,563,863,473,378,763,228,500,670,738,572,911,807,893,297,269,358,370,532,
271,464,711,433,036,049,008,256,856,214,942,767,879,329,306,343,816,110,290,
799,975,749,453,034,406,173,674,956,100,938,228,788,130,831,370,050,898,696,
611,721,633,626,393,269,670,835,969,729,136,098,436,553,353,749,966,015,097,
882,190,413,724,350,906,949,358,071,144,827,704,204,139,053,738,829,738,783,
932,316,402,570,156,944,757,801,509,302,262,296,648,217,598,250,878,017,837,
719,692,790,594,033,184,864,851,411,015,201,190,266,504,543,924,184,049,894,
730,621,634,413,337,029,019,501,398,997,879,412,431,622,194,321,963,282,974,
681,199,600,419,920,529,683,913,596,281,631,187,534,681,642,217,002,141,772,
183,856,871,851,860,961,168,768,244,993,704,417,396,383,791,201,697,407,292,
666,848,967,622,401,639,922,454,694,604,691,602,608,204,513,778,108,120,216,
757,662,484,537,295,162,621,602,090,457,016,788,713,966,430,825,269,654,907,
704,475,076,048,535,131,266,917,116,649,563,114,847,761,083,604,602,471,851,
372,381,768,397,027,936,368,782,267,476,782,678,647,225,839,246,820,284,744,
970,535,442,855,242,050,141,596,790,111,157,256,646,192,001,206,134,308,022,
565,743,148,966,157,531,148,455,503,405,050,671,061,401,526,164,022,902,510,
654,708,935,918,845,465,238,809,471,104,397,744,640,303,289,347,127,945,553,
460,172,823,568,756,951,311,708,071,521,402,128,499,977,661,637,168,482,073,
744,823,026,705,907,024,784,330,127,724,328,403,661,135,422,397,898,916,298,
906,325,964,927,322,861,461,037,881,119,136,315,508,549,156,355,201,450,227,
403,883,936,648,564,717,795,784,965,469,978,181,454,197,182,773,478,541,479,
870,363,785,760,709,474,521,823,448,552,402,067,339,269,066,605,543,777,748,
906,260,461,676,102,728,682,807,695,434,100,066,423,611,045,616,798,588,360,
899,016,684,774,922,113,425,943,544,903,619,136,683,240,943,062,958,155,698,
496,239,524,230,300,536,540,469,566,439,954,252,395,626,490,237,812,350,752,
203,960,166,112,978,423,240,018,192,433,817,086,207,784,714,182,308,328,165,
808,615,157,294,460,618,772,490,460,192,591,776,871,286,539,576,086,031,312,
095,752,869,699,490,683,625,695,286,556,174,903,267,994,622,959,282,039,710,
295,030,094,749,699,988,558,586,845,391,249,235,408,155,144,764,259,684,882,
601,360,413,714,018,541,351,032,746,170,457,355,821,541,628,242,258,892,076,
017,456,146,054,165,249,184,522,023,644,468,704,910,646,558,057,457,885,197,
815,103,149,600,392,797,939,186,651,914,455,993,190,506,833,831,790,227,782,
354,339,185,312,656,150,027,481,423,092,361,384,401,272,787,951,670,265,294,
921,575,067,407,609,185,379,204,835,068,360,272,478,593,067,391,825,144,717,
077,932,842,334,063,482,867,535,933,458,675,591,648,356,357,074,352,670,769,
437,691,173,544,669,343,810,153,862,900,818,644,199,301,735,573,501,907,069,
500,812,082,192,664,602,791,901,882,716,846,186,510,587,194,854,508,901,078,
387,975,076,838,202,780,013,732,901,837,019,706,059,639,285,522,585,025,628,
487,446,174,029,263,835,482,524,644,157,846,541,412,944,365,534,937,433,114,
321,928,769,140,227,454,750,309,737,260,133,272,424,332,798,870,068,739,991,
955,783,939,354,976,646,445,838,224,335,885,917,416,981,433,356,735,915,186,
659,663,048,536,363,610,483,712,908,831,288,656,488,765,203,372,753,736,794,
074,209,480,642,667,143,233,118,736,899,495,477,756,277,949,149,832,466,045,
518,863,019,764,879,480,280,292,761,943,265,594,685,818,718,078,332,451,420,
736,504,364,130,858,921,198,821,275,608,014,314,364,850,252,344,633,793,733,
087,722,222,455,324,611,701,282,794,044,742,634,112,698,656,058,863,504,775,
475,731,178,264,582,629,884,238,208,719,954,224,248,818,427,219,982,823,166,
860,658,421,839,319,593,525,588,811,497,165,768,050,626,964,586,283,443,483,
071,439,086,885,089,562,226,353,049,934,333,601,772,525,359,774,687,892,720,
116,628,375,403,352,147,374,609,533,355,410,940,061,860,294,964,686,419,567,
597,689,359,279,025,813,267,210,321,525,823,915,819,054,786,397,440,450,373,
743,998,770,893,995,479,965,136,643,914,983,627,172,200,288,097,676,650,689,
074,515,970,941,348,436,451,920,462,859,068,531,600,636,436,151,381,587,670,
057,778,365,864,587,006,670,416,615,103,447,073,389,599,962,137,588,805,900,
177,865,599,765,594,213,481,539,259,506,911,533,930,404,368,475,937,166,843,
734,591,565,051,002,558,292,988,679,084,517,658,294,181,534,930,045,377,275,
997,504,646,414,775,569,271,950,035,723,484,724,293,913,253,548,907,534,214,
477,923,774,170,420,374,961,970,110,100,080,956,743,257,809,212,185,020,643,
940,354,880,132,633,291,818,798,160,047,381,099,506,182,663,627,636,325,640,
843,359,052,519,501,843,969,907,720,776,367,827,444,177,829,546,741,906,981,
494,847,615,668,190,745,942,251,088,315,726,589,864,020,451,978,667,272,785,
670,159,685,374,482,367,159,275,323,005,799,510,571,809,578,639,992,981,419,
381,243,750,995,579,903,189,541,296,274,700,882,822,595,459,039,364,892,008,
234,247,747,887,444,212,749,854,591,792,044,631,810,843,380,058,880,662,575,
848,199,257,935,090,281,877,512,948,455,167,918,543,852,172,805,794,579,287,
318,470,774,871,260,287,596,097,439,947,880,649,772,120,966,446,434,249,882,
031,062,211,408,064,270,941,259,498,812,934,945,101,510,373,113,556,994,205,
911,035,664,735,891,125,876,917,236,428,888,154,298,223,878,405,101,526,763,
791,416,162,750,415,723,021,477,166,452,968,055,748,138,514,171,920,628,090,
197,340,170,184,990,741,948,721,403,436,576,325,257,068,222,373,364,491,828,
344,015,210,851,913,585,420,162,931,002,695,585,160,909,976,231,981,046,316,
290,621,399,352,554,472,835,071,293,287,302,365,203,272,995,326,005,321,198,
941,324,020,854,691,761,940,678,785,335,311,729,555,242,574,595,438,259,512,
883,565,199,032,338,674,232,006,941,730,316,347,101,870,986,033,258,764,034,
523,545,627,596,706,514,445,434,458,075,123,028,549,902,321,425,301,976,922,
995,707,636,664,286,054,075,975,303,219,375,364,743,266,709,568,137,943,054,
631,578,977,347,244,318,026,605,617,893,954,601,764,404,578,270,322,041,783,
091,481,679,900,873,325,112,447,857,819,888,675,776,995,920,514,039,689,105,
448,365,223,723,040,733,663,437,063,355,409,275,367,955,744,169,470,876,421,
812,363,014,861,968,896,906,321,373,632,256,778,777,162,818,874,499,886,768,
058,951,020,003,390,710,115,115,096,105,465,748,472,028,801,702,726,158,606,
299,239,007,310,844,910,382,106,669,275,294,235,439,460,605,786,007,655,357,
286,746,503,800,410,491,571,638,461,994,287,938,124,573,029,828,964,149,905,
968,737,677,174,282,116,546,350,156,027,327,281,688,851,411,431,143,257,520,
734,678,609,723,085,625,250,068,320,394,424,799,879,445,972,771,810,597,888,
569,366,421,535,235,152,416,955,126,092,609,778,969,508,126,046,209,047,845,
011,966,463,231,409,651,592,140,169,027,675,527,042,591,644,507,842,169,601,
969,559,931,361,635,930,636,770,094,191,729,953,986,233,397,811,082,033,572,
630,792,111,106,450,186,108,021,160,363,416,828,578,241,198,960,866,460,076,
790,205,279,729,961,072,380,671,076,256,357,341,534,418,620,801,982,586,176,
394,168,330,016,293,096,475,546,830,131,336,515,584,327,669,937,275,956,201,
922,650,748,700,132,997,659,108,094,586,066,495,704,302,342,705,340,074,403,
560,443,959,872,575,656,338,372,554,270,466,588,835,421,400,492,832,864,751,
538,079,441,880,570,147,456,086,779,805,601,571,319,991,377,500,905,639,289,
237,908,227,729,655,446,168,020,458,648,883,643,199,302,972,877,025,044,374,
604,427,891,424,828,045,389,372,969,390,735,329,607,629,230,464,304,511,839,
237,442,386,993,944,490,206,275,972,047,260,463,666,143,171,673,141,974,458,
887,991,649,733,443,539,170,498,515,637,726,276,077,861,603,724,328,905,599,
520,575,576,859,883,960,938,439,979,175,236,233,084,981,036,012,445,565,792,
019,259,519,931,529,930,997,246,298,284,077,846,652,559,961,687,665,311,646,
555,649,249,371,395,075,915,582,115,045,303,226,186,787,181,901,123,338,281,
521,473,446,028,411,390,236,689,197,976,836,404,230,646,230,963,876,571,952,
295,419,226,953,550,682,675,214,787,072,860,058,259,792,063,838,269,692,884,
616,571,941,744,644,156,442,516,725,969,276,875,842,439,147,829,363,487,937,
846,643,549,688,510,898,106,820,405,894,817,737,377,800,796,185,388,216,672,
158,678,071,541,342,706,868,112,782,210,952,880,972,450,151,108,661,884,347,
600,005,411,623,173,465,651,902,796,447,639,019,572,582,497,545,067,900,821,
497,537,691,383,351,905,160,274,172,049,850,290,638,496,221,005,267,202,776,
380,962,038,005,133,853,173,770,938,894,842,264,028,926,384,612,487,532,779,
096,447,735,223,004,362,523,009,886,292,695,545,776,520,586,257,031,849,559,
618,030,239,186,690,206,460,020,929,343,781,516,961,583,643,995,368,867,243,
765,414,503,698,728,048,024,252,815,883,205,044,282,847,706,285,166,128,778,
382,338,867,464,388,138,485,982,414,803,855,676,229,583,172,430,109,810,247,
259,339,218,613,858,485,457,376,872,386,533,430,415,535,963,191,680,618,705,
114,229,208,729,022,128,092,196,344,646,384,474,205,587,699,005,224,924,255,
461,276,924,213,210,248,766,149,035,890,149,523,550,963,648,839,484,710,095,
078,777,474,490,475,324,421,190,529,644,191,185,252,956,685,124,673,433,994,
240,932,135,434,730,412,290,735,069,813,519,698,652,054,478,503,748,808,441,
506,119,430,113,329,707,202,624,740,104,274,368,935,124,676,867,434,010,682,
222,669,105,805,678,965,660,238,047,685,749,956,645,945,155,416,805,786,803,
973,667,496,145,746,926,119,764,654,031,412,972,060,282,946,521,238,294,955,
741,408,405,313,172,629,840,370,354,079,340,456,990,026,466,953,240,876,265,
444,047,113,405,964,643,725,878,773,505,027,733,407,963,376,772,140,922,805,
126,988,714,899,051,192,257,691,631,333,204,792,718,777,010,419,942,176,134,
987,443,895,401,628,778,698,610,731,796,325,764,816,351,553,528,851,803,737,
518,682,506,454,793,579,859,451,119,109,627,955,538,826,615,758,272,774,205,
888,498,729,837,434,782,631,809,420,085,942,587,429,416,015,060,592,877,136,
242,414,847,234,813,768,402,414,668,028,298,978,901,129,765,696,465,771,287,
147,832,211,809,561,874,642,495,910,061,566,977,949,495,561,082,117,783,215,
292,835,478,409,907,065,259,651,664,994,694,421,794,589,898,031,984,134,439,
066,970,948,813,438,964,746,430,730,650,052,955,170,743,008,149,081,518,150,
723,834,069,962,545,477,445,673,116,012,923,552,241,872,997,687,427,563,409,
721,911,704,118,270,951,559,785,872,384,380,269,781,458,634,703,465,366,943,
628,602,925,499,118,501,421,737,491,932,345,346,060,834,776,922,259,924,628,
644,835,421,536,982,779,844,536,798,889,105,129,580,460,682,015,956,836,886,
595,963,704,130,525,122,496,843,063,393,905,352,944,551,042,058,196,402,304,
724,365,290,076,855,385,960,734,487,823,548,587,926,062,124,982,894,085,134,
953,669,694,296,999,731,227,511,204,416,739,760,902,243,267,920,056,119,415,
760,790,180,618,190,369,416,784,243,995,874,586,632,577,177,434,823,331,310,
204,803,131,821,712,909,989,765,645,426,293,753,195,124,017,012,095,500,255,
646,162,397,733,025,534,275,304,896,714,707,522,672,777,215,806,107,871,983,
300,233,286,164,651,771,180,832,557,626,349,787,772,614,313,963,839,697,075,
391,944,322,738,013,949,582,183,489,392,731,466,865,187,896,192,254,401,354,
125,613,282,070,709,755,139,756,853,990,740,006,578,488,363,862,075,859,772,
787,189,375,150,292,154,652,265,411,123,067,840,680,521,948,172,186,511,782,
832,592,971,061,127,257,464,249,685,015,662,257,128,689,023,663,779,281,439,
687,479,858,413,240,072,700,701,041,601,610,364,279,822,563,350,691,187,401,
091,593,171,440,155,056,119,352,356,591,377,052,055,674,316,269,743,115,102,
475,047,554,783,933,192,368,356,396,889,963,086,729,820,599,610,373,843,207,
877,514,223,726,572,045,638,349,814,177,271,971,820,102,050,829,774,121,603,
062,018,283,265,825,823,316,532,357,541,505,966,005,083,038,114,408,486,087,
215,870,963,461,010,193,268,629,877,376,941,046,591,140,266,485,885,145,682,
056,934,343,754,865,353,653,231,861,451,410,763,333,973,110,981,979,350,352,
692,061,711,840,049,813,711,980,093,573,144,921,625,542,360,610,799,305,803,
426,886,945,797,063,258,162,179,175,875,552,310,537,077,782,238,802,886,806,
188,390,934,938,089,213,010,826,569,902,666,284,906,991,525,397,865,593,229,
000,279,228,628,282,543,337,724,953,495,258,792,672,997,555,424,029,064,209,
013,802,521,609,578,917,126,483,453,220,566,476,790,767,378,150,200,770,420,
088,366,326,251,003,323,565,358,550,504,598,583,981,944,724,231,541,977,024,
033,667,597,633,880,242,714,181,003,428,143,996,922,512,760,574,188,135,546,
457,856,847,973,882,305,673,708,546,848,772,602,214,844,014,700,757,871,035,
826,185,260,015,303,973,544,677,586,458,949,485,968,753,670,193,135,833,056,
589,547,887,199,049,569,686,517,761,144,938,251,713,787,523,905,283,451,004,
634,706,398,408,699,688,567,900,802,070,501,616,570,488,808,063,165,814,362,
038,145,672,667,527,794,354,695,333,527,221,200,758,603,298,992,095,201,532,
259,374,403,935,826,816,723,007,513,211,686,806,513,397,602,947,253,389,529,
708,972,263,056,832,272,918,336,777,771,301,350,384,794,085,979,536,679,667,
299,799,473,511,190,967,464,565,667,357,247,257,451,716,933,758,616,878,344,
182,319,236,150,368,872,867,034,355,271,100,020,109,019,566,666,413,819,631,
324,013,884,427,321,173,696,583,474,230,122,366,675,772,250,678,696,459,003,
430,300,214,743,965,600,822,632,851,598,898,332,907,853,955,208,825,638,446,
281,825,499,453,209,938,260,447,396,592,630,136,444,341,121,790,067,472,650,
584,019,272,575,795,830,215,908,873,212,891,442,522,280,710,587,870,112,487,
521,976,470,966,555,216,789,938,738,290,341,151,186,749,215,855,116,853,413,
074,280,048,420,652,039,092,639,458,029,405,154,420,550,335,266,261,348,609,
245,770,075,197,391,948,335,290,890,066,978,415,752,675,007,487,249,230,462,
987,757,778,290,696,058,563,281,057,023,927,443,547,080,822,080,618,024,822,
531,540,518,882,772,116,106,460,629,900,106,803,833,463,439,931,111,588,024,
137,764,265,417,668,446,200,008,107,447,084,694,389,297,684,154,369,819,391,
618,091,722,952,855,306,845,791,896,137,212,960,514,823,417,615,846,803,712,
591,816,262,583,267,552,576,329,170,985,453,130,732,735,668,988,240,169,620,
871,126,195,042,497,644,025,493,867,167,371,818,337,350,096,568,699,323,871,
393,399,623,346,242,063,730,878,710,719,542,894,598,155,297,510,027,449,104,
161,430,887,392,813,262,406,092,336,549,414,288,717,695,870,326,958,740,633,
707,620,954,389,322,476,760,651,316,262,532,325,309,098,159,063,490,622,859,
891,597,012,954,012,591,864,830,784,324,191,124,439,142,491,925,887,271,265,
948,701,345,525,838,969,479,227,258,984,481,269,393,091,415,412,453,461,912,
599,490,684,413,273,389,061,884,387,308,637,382,348,821,127,077,131,283,326,
636,031,671,694,708,284,121,770,293,774,644,476,306,517,242,831,912,293,492,
586,704,987,382,034,402,876,606,830,700,876,194,982,686,226,100,776,170,903,
426,759,649,550,438,660,953,302,581,286,771,271,263,790,289,497,853,194,783,
216,153,072,020,701,964,532,535,455,884,848,144,740,593,565,025,217,354,082,
199,513,059,774,656,641,760,991,004,459,865,423,361,245,441,925,185,281,146,
741,928,119,475,319,085,840,998,366,001,524,101,998,139,328,240,227,858,722,
946,970,275,861,293,581,006,018,120,424,059,374,641,119,082,716,397,858,770,
119,657,373,458,673,774,844,766,649,382,001,647,152,033,803,316,672,724,736,
053,233,633,187,769,207,077,524,967,794,400,219,193,481,032,680,596,555,358,
348,709,451,630,458,455,576,436,761,250,207,951,699,747,043,712,578,135,045,
789,772,534,472,647,440,603,501,187,820,109,400,711,815,962,422,159,333,123,
351,480,975,701,383,121,227,534,576,917,940,969,005,353,066,086,111,679,326,
867,254,906,309,118,042,746,432,970,991,627,514,777,771,307,516,971,193,409,
233,178,196,813,573,155,762,440,024,859,921,241,593,182,900,784,245,839,945,
463,367,524,187,052,759,086,686,519,743,698,709,079,329,972,582,229,021,179,
319,147,310,732,374,015,291,419,144,523,576,177,746,247,914,914,042,688,710,
754,876,647,165,820,450,475,415,644,769,630,769,136,616,764,802,396,429,281,
932,299,490,535,491,243,133,673,524,011,294,896,472,860,890,533,405,057,083,
869,013,475,416,258,022,719,384,152,363,152,134,921,664,986,858,101,038,039,
305,809,804,389,008,433,821,493,674,019,940,420,206,954,434,531,859,357,125,
210,544,247,549,280,658,412,875,893,559,700,252,751,405,618,217,648,047,394,
314,737,514,728,227,945,943,918,745,961,158,857,532,548,256,864,879,520,025,
630,350,059,748,223,937,397,924,679,042,828,489,801,075,396,339,032,601,859,
829,061,421,816,940,393,423,556,879,932,284,749,629,978,473,516,554,604,804,
962,466,197,294,691,871,414,773,760,509,761,276,661,367,551,989,008,269,166,
020,921,935,484,741,677,970,157,535,604,694,295,778,846,315,388,807,066,172,
860,082,954,677,728,705,827,627,410,834,256,550,321,652,383,715,129,612,943,
272,454,953,601,568,450,707,560,103,301,079,297,416,576,957,079,056,091,065,
921,623,955,245,362,658,564,609,488,096,524,368,262,647,814,532,244,441,258,
309,397,420,503,994,886,834,275,484,106,664,066,001,085,038,600,613,838,765,
212,242,733,036,185,635,082,648,332,304,332,395,815,116,517,580,257,702,951,
431,681,885,338,688,757,877,076,102,656,571,281,969,661,770,849,542,113,593,
615,123,193,110,336,513,754,558,860,735,706,064,990,565,545,887,393,793,080,
087,442,490,984,961,495,538,985,473,903,245,519,538,586,600,549,019,668,414,
066,313,782,398,261,595,903,269,940,916,919,066,159,979,111,157,433,409,997,
146,697,897,400,735,433,358,965,574,164,628,845,318,165,287,156,391,483,868,
348,944,628,267,687,366,297,887,029,983,690,705,324,585,246,910,675,173,701,
048,229,556,518,351,602,759,380,185,957,218,734,837,860,819,786,614,693,833,
661,471,328,183,918,335,337,378,212,073,843,314,437,980,275,341,286,047,964,
779,572,069,972,484,315,514,947,843,755,197,044,135,444,664,347,300,915,399,
492,914,796,853,227,307,461,955,577,933,289,409,165,403,648,925,686,869,353,
867,442,684,921,496,613,555,320,032,022,154,720,164,040,866,870,964,509,513,
156,199,989,137,475,492,615,492,237,583,125,686,220,696,116,645,831,814,969,
627,758,677,468,729,676,764,393,090,297,202,772,501,038,404,743,350,162,881,
544,123,475,263,587,421,928,664,720,500,436,643,992,402,217,927,373,531,668,
967,844,320,245,998,950,055,754,366,495,890,128,875,400,843,233,539,905,636,
400,233,778,258,271,324,502,986,241,874,063,433,883,315,837,933,105,545,501,
586,603,142,338,959,675,344,297,637,977,020,568,525,662,900,773,290,598,340,
472,297,273,188,359,267,898,468,003,635,296,370,230,201,252,880,158,584,439,
796,442,189,118,084,317,467,698,371,369,174,078,109,525,193,676,046,944,283,
782,567,291,436,062,333,315,484,623,024,892,000,817,201,737,060,878,847,519,
888,647,245,552,696,805,242,635,368,395,661,638,011,124,103,492,127,818,964,
575,559,939,578,903,561,132,911,712,011,214,873,198,089,279,829,583,929,842,
763,636,116,049,253,963,880,831,635,708,823,183,644,321,580,348,665,708,667,
729,887,554,658,684,480,105,245,421,181,572,773,080,691,299,381,027,254,478,
993,636,672,915,783,052,100,911,101,020,595,555,350,518,963,857,146,970,032,
427,929,479,316,606,615,909,131,041,069,531,009,620,876,063,262,096,537,285,
358,108,367,147,641,524,360,841,282,471,186,595,390,234,429,117,816,569,421,
426,120,805,430,647,794,198,393,422,616,782,334,126,787,198,590,995,240,402,
332,961,314,430,691,643,344,884,477,450,668,591,368,825,527,008,361,649,937,
051,376,036,168,217,928,419,889,846,259,298,088,394,490,499,481,140,260,487,
506,585,084,808,196,597,579,963,691,388,856,534,559,388,170,023,862,033,408,
869,039,262,795,707,626,233,865,577,754,418,009,365,797,735,192,624,432,025,
019,159,371,400,689,554,022,433,814,361,189,571,472,017,945,751,365,260,356,
752,343,840,169,009,369,207,971,709,343,269,279,357,539,562,017,833,073,036,
505,937,307,540,233,472,196,729,191,728,763,959,800,397,936,287,031,239,168,
998,503,885,157,765,273,947,503,304,660,278,271,228,097,874,974,825,104,284,
400,745,316,607,745,172,343,513,989,795,251,646,441,644,194,582,644,206,354,
654,127,283,476,378,686,855,514,784,244,257,792,524,744,605,778,185,921,604,
106,936,916,227,059,532,339,234,224,649,742,557,558,113,978,093,687,562,676,
624,543,311,145,235,311,416,476,857,031,973,190,982,346,447,008,123,047,144,
517,264,320,028,796,591,911,462,826,067,059,971,161,567,457,636,511,347,530,
821,344,588,212,717,980,945,032,443,471,611,005,848,101,674,970,807,753,795,
801,487,259,057,046,200,686,165,081,799,174,849,644,926,335,714,620,547,061,
246,560,132,051,689,303,356,450,288,695,226,751,134,528,257,779,299,773,679,
594,823,248,047,360,354,476,627,697,178,356,865,231,217,802,995,186,096,541,
765,140,740,112,658,475,322,167,718,944,213,742,416,701,965,355,068,528,042,
490,699,413,369,162,897,900,659,453,982,064,151,530,017,137,569,814,984,704,
403,388,226,624,619,811,731,274,298,158,978,365,154,427,985,443,827,771,004,
566,691,159,434,930,277,099,346,218,763,969,124,499,965,702,149,426,210,206,
741,544,807,828,521,132,293,471,535,643,080,158,155,689,926,080,774,199,363,
586,330,349,761,848,625,795,719,617,328,075,538,590,993,147,576,288,897,830,
472,159,225,149,047,165,466,573,374,058,310,106,459,613,697,079,040,377,122,
421,689,830,921,555,465,995,411,887,038,156,766,701,877,098,074,376,895,574,
710,983,041,840,412,074,577,642,450,853,366,004,714,587,556,221,960,338,367,
102,311,936,533,220,033,702,234,841,806,798,334,908,826,944,883,834,007,039,
704,840,700,517,972,187,966,848,343,116,090,358,421,288,022,567,593,042,328,
638,410,859,527,389,638,453,666,177,905,862,561,927,652,001,394,392,701,638,
571,816,786,894,030,505,336,466,718,239,005,969,734,711,133,382,110,102,268,
155,748,273,700,610,623,155,369,841,908,953,186,443,131,655,090,495,599,878,
675,554,686,124,652,010,247,900,499,315,751,850,124,778,045,633,181,489,420,
783,986,954,852,264,350,735,967,053,433,756,514,900,683,786,369,534,872,897,
595,881,371,182,255,905,570,005,402,432,888,253,488,133,769,724,117,994,118,
500,226,811,345,729,826,477,662,981,848,528,868,638,110,139,882,087,923,358,
345,393,407,916,826,193,234,164,224,200,674,116,102,656,882,496,885,011,411,
271,595,416,743,454,241,924,368,053,689,625,146,826,844,870,166,514,020,140,
554,003,018,000,699,696,264,642,051,289,779,997,825,732,872,227,309,915,828,
540,388,741,583,135,272,011,371,424,190,392,879,051,411,444,685,462,564,105,
228,599,962,877,264,523,534,216,712,104,380,478,251,591,166,826,274,416,322,
745,804,416,962,978,337,939,254,728,341,865,614,921,829,309,108,049,362,196,
170,558,254,687,712,523,588,673,978,703,815,888,020,933,765,683,249,547,747,
091,639,417,948,232,575,635,912,721,233,702,240,583,953,616,891,663,831,407,
371,695,020,182,507,009,602,405,205,316,470,733,372,845,467,404,620,643,396,
230,861,652,662,647,452,862,575,237,929,253,406,760,808,467,481,794,709,969,
178,768,993,617,122,107,208,921,466,404,933,689,085,123,998,595,390,391,417,
736,814,604,772,154,372,097,862,306,172,195,142,410,881,272,856,835,459,694,
479,464,149,450,646,695,467,464,372,148,984,132,800,989,844,528,713,664,114,
119,068,131,370,739,631,224,868,384,499,589,843,414,681,514,049,488,491,346,
605,275,517,542,943,869,714,566,228,299,877,122,503,120,504,805,116,494,012,
779,539,255,460,370,289,045,700,515,519,353,785,543,828,991,894,055,958,009,
597,513,991,162,997,505,368,087,161,047,246,834,929,159,678,367,465,656,858,
601,288,556,766,277,614,697,323,517,534,281,482,781,433,165,575,611,314,684,
681,839,940,456,612,018,631,491,382,261,296,800,619,606,463,499,609,503,394,
216,482,206,660,482,983,868,113,728,105,179,625,233,971,881,851,703,716,221,
857,442,578,230,280,379,131,427,779,132,148,218,669,667,753,748,052,391,831,
449,121,388,767,697,140,044,813,626,031,062,956,655,206,196,098,253,819,154,
492,769,186,984,859,101,154,667,276,875,107,950,453,478,880,737,491,075,073,
505,402,971,465,813,935,124,615,304,628,964,490,319,613,996,405,472,451,102,
590,521,554,250,868,294,610,992,282,005,413,601,057,504,116,270,191,057,530,
205,039,156,379,273,247,222,873,361,077,289,171,478,350,784,633,385,099,332,
376,653,931,373,639,758,963,114,077,591,393,993,192,518,105,618,247,359,061,
729,171,550,694,896,911,872,224,220,995,354,663,545,114,201,695,316,985,159,
508,140,656,307,294,263,033,739,696,305,381,414,365,650,964,887,978,916,039,
971,277,803,571,198,342,325,572,236,892,510,917,171,148,120,926,992,393,219,
288,600,738,239,572,703,953,278,057,393,318,978,704,014,932,239,040,218,520,
113,090,846,517,789,364,344,896,340,103,867,521,974,056,256,352,272,946,458,
571,337,854,663,852,043,467,337,843,997,462,072,952,722,285,701,725,307,066,
166,575,743,440,358,403,320,887,541,748,442,312,212,114,366,678,972,319,362,
606,984,491,554,828,319,229,561,857,399,003,380,551,792,204,761,732,437,576,
823,361,221,508,720,273,664,929,998,788,656,077,136,729,095,545,351,239,613,
598,117,347,196,681,818,054,234,311,769,962,478,623,152,966,188,790,807,726,
460,936,417,292,902,993,211,623,734,023,528,574,883,011,060,307,192,502,019,
022,027,166,713,665,207,300,885,149,679,578,586,281,442,512,397,439,531,430,
788,490,332,660,995,380,054,868,233,975,149,251,162,866,720,722,708,631,644,
817,334,391,897,536,328,635,818,138,573,370,162,970,303,535,842,176,335,224,
149,708,856,943,190,863,825,470,508,861,067,678,531,961,808,213,822,362,504,
257,276,538,966,266,502,184,941,113,236,896,205,578,428,664,376,991,893,595,
324,196,351,535,348,498,301,847,550,716,839,064,250,615,020,129,113,522,479,
978,745,827,828,541,816,977,366,696,448,939,976,760,165,647,586,843,121,592,
139,993,696,132,898,266,716,884,963,694,813,454,337,873,540,802,860,864,625,
725,510,412,447,947,326,103,599,873,707,113,048,784,420,612,393,409,425,479,
422,389,524,392,181,762,788,755,660,219,857,177,392,638,714,708,313,023,772,
477,888,595,587,366,362,549,776,524,587,278,564,029,967,557,221,382,060,217,
993,847,933,808,185,705,189,827,823,476,817,307,761,957,125,958,381,222,611,
539,240,244,290,392,642,572,187,688,987,399,183,988,848,878,405,672,675,962,
608,979,592,156,701,108,919,275,312,326,442,816,297,187,759,951,897,140,389,
698,777,998,455,856,309,383,761,244,960,012,681,555,234,772,189,652,340,401,
491,997,933,251,067,797,988,598,400,072,041,970,221,603,043,017,135,242,819,
896,705,851,513,083,167,625,548,960,920,774,936,879,472,119,257,370,397,349,
468,949,588,155,710,575,191,345,581,906,093,661,078,136,276,144,835,839,414,
989,756,396,774,886,515,868,033,038,548,277,512,795,277,172,441,677,603,762,
692,434,753,641,136,922,014,085,955,884,549,623,960,985,298,442,302,926,257,
032,689,214,228,303,190,470,116,935,238,588,395,516,751,115,796,767,650,265,
967,619,529,100,384,266,295,678,522,382,415,082,707,231,353,526,710,416,498,
119,812,417,047,017,057,791,493,077,069,245,881,053,461,658,637,106,569,434,
949,131,368,133,571,394,027,245,715,143,707,185,586,242,523,901,384,521,891,
301,180,530,362,281,261,132,577,279,452,715,083,631,594,691,345,192,625,955,
110,526,625,521,789,402,316,725,740,898,561,055,225,422,872,667,227,731,000,
687,788,762,532,688,048,911,508,757,195,933,969,243,593,924,593,119,329,612,
368,145,286,994,740,670,149,901,966,581,417,231,907,826,148,252,695,545,239,
869,373,585,669,663,294,327,783,813,928,029,591,037,241,768,018,378,365,482,
482,454,435,580,378,424,782,131,652,126,759,699,261,047,350,590,711,241,907,
406,442,506,943,394,614,497,876,432,654,444,960,916,007,111,116,609,420,552,
463,553,591,763,368,853,607,647,245,274,682,331,636,535,892,010,644,693,586,
260,283,801,307,351,104,211,364,498,867,900,212,613,134,886,464,111,449,978,
922,809,394,203,208,935,298,576,158,157,894,236,489,948,224,417,409,453,420,
176,034,684,656,578,997,146,792,799,233,390,861,121,963,970,649,844,139,442,
279,630,566,897,839,846,397,448,922,030,604,203,753,345,158,423,116,959,586,
637,831,749,601,575,956,499,834,047,272,297,234,180,144,357,103,869,876,601,
638,588,607,491,830,503,200,974,460,783,849,292,926,889,398,730,964,523,376,
615,477,567,995,945,901,291,992,560,341,587,056,396,833,099,640,778,850,467,
850,200,401,246,840,437,619,887,113,306,584,599,614,847,640,656,388,937,643,
780,724,090,082,270,080,085,789,798,416,850,624,487,445,919,741,097,400,728,
217,723,919,195,302,024,562,343,110,874,908,247,872,340,782,784,752,148,027,
456,765,046,698,646,756,525,655,447,731,719,883,711,952,076,723,506,228,244,
308,326,581,633,488,573,461,649,366,318,802,064,459,883,059,786,333,140,958,
646,596,794,443,646,926,438,623,715,223,696,724,877,718,488,164,909,389,011,
938,218,035,213,053,765,339,964,895,621,413,866,620,457,870,153,388,758,580,
986,810,374,363,033,032,937,335,399,676,804,337,790,851,421,343,996,212,182,
432,933,659,236,489,441,000,658,464,589,767,404,382,129,058,193,085,868,764,
764,470,737,470,718,450,604,841,992,292,436,810,525,223,496,534,511,418,772,
840,785,143,966,569,033,514,776,003,309,171,266,453,057,079,732,481,726,510,
339,655,355,504,254,591,785,077,199,352,040,535,096,193,626,392,645,602,687,
907,052,833,504,493,247,993,260,051,905,368,101,982,534,064,031,374,599,960,
687,467,885,989,852,217,144,410,556,328,782,773,921,977,004,446,876,333,216,
691,351,499,031,070,730,385,599,231,702,400,424,703,369,779,627,862,695,918,
195,974,871,364,689,710,614,988,874,183,111,533,853,144,973,608,210,997,211,
173,722,502,018,147,750,090,528,022,465,364,553,625,114,121,628,427,749,406,
884,682,504,360,247,185,630,683,084,978,249,918,133,406,334,399,481,179,377,
717,313,562,554,625,181,589,699,053,513,801,359,510,587,366,112,328,935,198,
962,667,909,321,073,384,930,894,166,681,508,928,225,164,700,052,904,945,878,
127,765,797,712,087,164,995,409,358,591,739,079,856,344,044,803,072,084,797,
555,373,510,708,823,931,143,362,700,679,158,031,768,209,055,248,894,148,688,
235,896,526,781,154,155,609,547,643,663,422,086,896,466,423,546,620,463,789,
961,111,370,036,525,894,499,446,661,897,701,408,433,478,915,445,960,977,136,
457,402,071,851,945,736,461,415,838,643,471,091,456,763,218,661,259,977,767,
826,469,934,891,799,962,874,966,701,948,404,393,393,155,583,954,404,634,041,
504,546,815,979,205,629,115,356,608,863,621,385,830,606,226,026,592,918,731,
728,806,545,079,456,138,607,374,037,695,093,690,376,876,019,837,228,026,910,
760,676,625,152,106,949,443,047,538,511,800,764,747,085,677,793,340,042,594,
818,142,576,123,784,824,831,255,592,756,212,585,978,203,330,674,498,116,051,
411,532,361,036,953,258,641,296,368,208,052,164,138,540,153,096,955,852,693,
264,297,679,734,775,413,483,133,333,524,679,242,117,688,530,863,600,616,807,
017,471,367,641,508,758,528,911,279,125,574,680,439,532,179,758,782,942,497,
432,719,642,678,041,795,256,225,168,868,199,682,966,664,194,738,971,216,993,
596,308,234,695,555,967,611,537,777,458,387,799,691,577,965,306,029,221,832,
903,834,994,992,737,953,486,661,257,980,317,827,133,446,749,092,247,289,834,
332,322,437,471,091,961,854,275,187,309,598,677,693,780,712,217,738,803,907,
668,844,241,719,280,730,965,701,493,166,510,835,833,386,521,635,879,919,335,
991,626,048,548,738,857,032,142,465,673,840,176,498,326,256,123,018,904,933,
660,160,049,760,742,008,894,808,929,371,747,777,506,747,596,478,034,952,465,
557,012,726,786,966,284,972,065,405,477,575,401,683,556,069,114,012,167,343,
769,293,743,555,126,229,173,181,377,234,080,474,953,223,965,737,533,702,132,
408,268,577,741,721,281,447,918,577,868,617,384,263,490,420,441,658,265,625,
791,666,893,794,810,535,044,178,657,023,567,054,966,098,207,002,528,507,470,
442,895,047,197,983,681,009,867,338,454,693,924,622,946,954,895,069,122,651,
536,280,531,325,185,301,559,123,778,271,472,272,529,405,299,792,076,264,680,
175,879,321,055,143,424,440,631,256,395,591,481,639,297,685,740,952,570,771,
087,480,631,116,261,250,836,914,978,428,682,925,108,264,358,746,042,848,911,
887,954,287,956,716,553,366,855,304,790,582,736,118,103,535,289,577,030,268,
002,218,029,462,637,283,957,769,365,154,958,542,672,806,051,503,109,655,662,
805,513,322,759,768,408,953,195,993,385,740,969,158,852,430,166,809,371,413,
363,974,968,690,378,356,520,026,503,635,600,895,831,494,077,721,034,648,013,
089,520,156,642,062,604,461,735,952,473,780,425,370,792,910,579,375,953,851,
389,920,160,452,168,195,377,650,730,374,380,754,323,885,426,609,002,282,679,
326,650,319,100,565,560,527,316,133,870,380,074,890,959,108,415,305,334,352,
142,411,726,998,128,067,350,783,668,458,423,920,666,027,704,923,450,719,947,
672,727,756,462,891,986,721,885,452,125,062,939,733,956,849,697,019,309,300,
997,543,065,662,237,255,306,024,189,471,422,008,854,451,055,478,378,739,013,
506,676,787,234,363,559,658,603,189,303,767,446,335,531,131,179,446,782,928,
638,899,195,821,756,183,597,509,784,034,558,528,777,190,406,154,635,040,930,
804,283,086,313,551,421,759,861,841,608,283,593,587,305,893,354,277,546,079,
637,410,802,880,761,914,160,115,998,809,785,092,867,852,858,749,043,348,220,
481,381,390,624,476,771,973,423,259,450,369,762,458,564,228,205,346,346,504,
444,484,938,977,699,367,920,916,085,270,591,948,724,681,377,708,497,342,682,
339,622,627,070,755,180,475,958,088,552,149,612,706,669,344,903,516,562,552,
220,836,496,350,702,028,902,122,214,238,584,810,837,424,573,675,988,112,175,
094,418,586,859,277,725,653,603,464,747,610,585,094,254,119,288,633,513,368,
358,214,290,288,136,637,478,598,729,108,514,280,659,473,817,786,317,166,117,
679,803,468,863,714,950,358,937,952,387,592,018,063,938,998,146,168,700,910,
923,830,144,448,774,220,049,082,064,115,216,527,397,718,370,699,104,854,121,
841,526,856,507,330,489,942,512,667,198,107,267,642,444,566,887,421,203,802,
938,211,027,375,215,170,271,891,817,703,821,089,444,765,684,568,275,256,988,
192,325,946,024,867,704,844,386,687,519,423,260,413,290,999,370,686,917,362,
600,843,679,214,261,827,838,097,095,124,692,015,628,619,583,517,693,732,326,
992,480,206,103,248,972,418,851,872,581,644,645,421,401,157,001,913,930,200,
546,695,979,681,999,228,175,975,217,368,628,868,543,178,641,830,334,740,012,
567,021,760,129,892,724,985,537,112,380,397,562,587,719,803,646,395,265,895,
527,545,647,536,798,238,566,234,866,630,217,835,402,259,679,471,196,293,677,
866,331,608,504,067,818,692,098,633,236,204,671,613,514,517,687,622,072,001,
468,316,861,441,008,889,053,351,618,146,838,446,818,140,471,562,496,229,674,
750,112,233,101,602,765,807,351,283,733,032,071,487,622,986,574,035,342,395,
737,507,435,065,275,070,171,743,259,508,213,844,613,530,429,856,200,593,008,
010,856,887,030,820,362,664,827,170,372,090,135,793,099,795,338,568,009,467,
538,582,115,556,145,924,763,700,093,655,988,455,578,847,421,256,439,811,452,
089,707,143,382,361,950,964,949,574,949,548,351,474,960,958,792,777,143,212,
313,435,058,796,917,081,075,859,294,192,359,846,552,192,861,643,477,872,996,
693,913,600,679,976,451,255,000,715,594,337,469,969,920,615,917,547,253,955,
746,072,981,959,374,180,054,241,448,069,153,128,035,601,550,572,352,809,639,
398,615,537,809,210,318,181,334,498,110,929,434,304,324,039,361,481,756,743,
039,055,106,052,665,943,409,904,105,382,181,662,908,989,783,433,173,179,822,
203,421,066,886,774,252,313,301,232,444,557,227,780,459,560,795,127,617,882,
240,633,023,100,266,966,436,492,896,127,181,079,796,384,116,676,013,218,979,
239,959,991,308,009,217,812,050,657,810,495,818,449,008,090,062,537,116,374,
025,793,844,814,290,732,196,497,137,791,641,887,596,833,072,594,636,792,992,
647,374,635,145,648,665,144,300,903,122,144,828,884,394,639,704,966,561,275,
990,475,249,088,298,580,148,582,909,634,503,306,247,694,852,471,453,336,921,
037,736,802,388,743,436,258,008,473,303,328,904,811,609,916,345,022,447,919,
196,210,116,284,718,146,326,921,797,694,709,976,475,614,540,821,467,221,868,
867,496,105,695,266,886,898,901,197,280,396,594,169,899,629,851,078,644,864,
895,862,369,560,656,677,557,695,570,210,712,895,064,253,158,102,065,607,974,
536,375,703,908,285,343,146,879,184,732,636,162,775,582,827,190,705,784,787,
063,135,971,464,851,207,958,534,601,996,852,477,625,498,028,295,371,623,918,
291,394,234,057,987,640,075,401,275,997,677,752,510,679,199,452,230,083,625,
482,741,190,252,676,605,086,341,500,956,046,886,118,153,211,368,755,470,580,
253,149,790,913,098,131,643,162,928,947,855,364,532,864,426,145,369,559,199,
892,140,849,779,757,727,441,519,037,016,753,200,004,270,943,453,649,427,655,
212,626,663,451,770,341,533,651,921,949,609,545,175,740,948,124,058,058,897,
651,672,595,213,770,421,477,389,120,733,952,907,428,278,111,723,958,755,179,
188,177,932,857,616,897,456,008,190,500,110,741,282,495,839,694,417,895,302,
410,153,895,730,868,781,389,964,696,784,408,326,375,385,618,938,065,476,055,
787,253,935,183,250,374,458,690,040,606,826,421,360,462,645,708,969,179,586,
380,974,163,199,424,783,469,456,118,658,434,636,989,236,416,928,759,763,067,
646,902,070,356,254,056,805,194,483,713,958,881,135,679,863,211,612,686,083,
443,644,035,587,600,649,273,574,142,082,532,219,320,671,444,704,453,411,318,
277,352,543,925,878,162,318,342,458,414,298,437,535,641,377,114,836,789,334,
811,885,353,835,766,862,114,075,747,030,781,980,512,743,783,016,095,328,725,
743,670,928,594,988,773,499,471,937,019,298,221,366,137,330,208,749,101,354,
263,744,270,196,122,086,879,004,075,711,736,445,831,533,923,119,551,370,064,
167,631,228,612,783,449,671,061,330,866,609,375,454,858,640,332,125,236,079,
435,449,570,119,550,149,307,148,909,264,565,041,325,525,486,545,610,722,497,
447,584,154,878,058,411,462,815,754,442,095,767,392,928,277,546,912,330,007,
542,624,418,812,039,838,030,975,583,996,692,685,841,950,149,727,375,884,958,
877,164,784,967,474,927,423,648,001,246,485,677,606,471,770,075,018,495,532,
451,885,897,108,435,513,127,061,762,577,190,915,183,978,165,131,597,454,580,
087,345,574,290,375,595,708,385,891,778,919,883,373,660,878,227,327,174,302,
002,291,210,476,220,537,380,496,359,239,253,219,401,279,901,743,489,669,778,
337,948,271,476,110,030,256,339,544,453,334,940,767,713,802,249,507,974,094,
146,313,718,612,620,343,692,366,331,939,386,998,388,016,928,625,894,602,908,
756,831,134,854,341,481,552,036,213,254,574,415,908,781,820,356,608,230,898,
555,196,342,913,171,442,069,339,878,984,172,288,864,858,174,454,550,652,612,
292,453,095,443,432,636,703,195,679,337,576,212,645,428,185,276,884,856,570,
129,009,519,782,567,066,226,508,565,401,446,943,036,155,290,123,780,903,305,
295,619,400,490,037,568,903,502,728,424,676,872,955,063,423,931,498,910,219,
588,274,314,038,213,356,004,717,461,917,544,618,166,581,093,972,860,408,708,
172,305,788,231,976,933,852,318,411,683,571,150,851,978,791,333,830,570,232,
304,259,875,431,377,532,450,459,805,648,351,261,112,766,226,478,112,229,026,
984,726,067,774,813,411,817,332,745,151,755,663,937,928,284,073,455,475,105,
603,121,510,144,929,497,073,902,492,645,750,321,567,236,305,119,773,865,585,
920,431,081,786,047,792,993,855,248,714,673,036,537,005,323,711,531,904,791,
502,089,045,180,303,145,234,521,171,688,634,019,367,193,494,110,369,187,302,
791,533,550,584,954,689,484,915,975,088,923,752,731,499,652,431,967,585,885,
639,761,673,542,861,800,272,276,275,202,876,487,761,145,865,442,759,474,144,
067,022,125,697,764,237,106,373,732,508,552,848,524,474,656,665,971,842,425,
159,501,554,639,323,950,027,186,916,985,475,785,017,264,517,780,758,134,986,
340,044,133,691,936,712,745,660,081,563,534,794,615,734,622,302,367,098,124,
044,049,575,361,322,943,327,571,320,406,375,354,738,664,767,521,563,797,270,
606,124,339,729,079,478,193,091,404,554,370,991,133,918,561,318,958,979,492,
338,869,933,842,795,061,083,407,125,274,435,961,703,668,034,270,655,980,427,
691,567,093,946,393,906,819,388,625,621,394,018,022,918,588,257,847,102,644,
190,530,891,606,373,574,331,603,947,717,691,593,621,185,439,556,626,198,371,
779,162,256,462,508,715,755,455,492,395,927,233,315,961,207,522,191,192,285,
479,324,580,081,464,652,181,933,787,256,194,183,157,001,424,002,054,810,994,
868,337,449,387,287,367,291,784,452,867,454,542,075,478,717,242,122,608,711,
894,945,906,872,848,063,077,195,325,135,998,847,397,776,154,427,443,484,386,
948,871,372,336,313,588,949,954,708,772,460,841,441,521,352,846,938,333,751,
512,942,794,043,254,778,054,694,919,737,333,020,766,732,155,528,490,193,743,
668,897,615,157,015,435,311,183,622,492,654,861,284,824,299,534,737,201,316,
447,095,329,338,487,546,326,182,353,948,252,056,062,511,580,035,634,011,963,
305,998,697,743,482,307,137,621,780,006,444,555,274,919,681,520,399,330,829,
482,053,981,765,664,595,875,378,249,155,601,012,329,306,223,152,272,637,580,
549,048,984,430,484,592,460,627,084,094,917,441,927,247,875,334,531,425,459,
268,131,358,762,224,896,816,360,981,759,180,305,540,639,728,280,128,503,390,
869,801,576,777,497,082,903,335,321,628,382,276,211,933,410,231,709,574,546,
523,294,477,721,657,086,724,065,001,612,535,270,025,908,647,203,598,734,432,
102,349,747,288,114,948,110,097,272,166,815,315,780,421,551,737,383,064,475,
646,271,912,945,259,271,994,741,819,873,291,641,576,391,002,048,289,289,435,
197,737,704,600,188,384,522,038,105,450,307,530,630,261,860,845,214,181,526,
213,940,840,389,457,444,583,788,517,518,270,421,462,543,690,486,609,419,562,
689,203,189,448,832,029,037,133,469,217,768,504,257,335,645,216,073,509,429,
627,767,667,109,916,341,273,889,255,015,107,365,773,294,243,993,637,916,427,
051,793,177,005,429,662,689,011,660,486,900,956,170,841,547,000,736,545,043,
493,284,125,495,924,451,921,109,652,444,466,491,664,301,759,293,949,999,727,
789,257,684,766,696,952,335,697,882,884,668,152,063,711,133,399,882,708,806,
583,666,774,287,238,192,842,464,018,797,190,608,560,838,469,636,346,647,646,
934,174,693,141,943,039,447,621,585,255,599,186,620,966,732,651,135,599,792,
906,370,198,841,752,650,763,454,985,160,569,601,852,461,675,651,799,024,665,
869,204,715,829,726,381,869,481,531,857,979,162,144,399,426,726,104,538,620,
011,896,756,026,382,815,034,091,744,318,110,676,005,047,948,853,511,170,213,
766,922,921,812,379,447,429,308,461,059,678,582,602,035,809,273,478,150,929,
420,213,720,900,851,331,892,495,215,462,035,456,518,207,451,161,222,436,750,
811,389,052,362,556,136,550,381,949,799,388,292,504,888,389,665,161,149,389,
355,858,986,421,628,390,421,088,366,650,989,522,728,439,801,163,229,574,472,
650,547,803,060,184,464,137,993,107,435,379,231,270,713,332,431,918,658,909,
658,129,288,023,964,974,729,703,269,741,590,306,261,881,706,004,021,265,589,
144,802,944,384,851,526,441,181,913,362,827,594,397,848,710,881,451,443,223,
658,029,131,578,373,359,079,944,219,061,868,174,744,254,882,370,919,718,977,
937,842,970,332,051,660,040,342,057,117,950,614,283,107,028,987,951,653,526,
722,087,073,465,414,938,313,629,384,171,568,203,122,581,378,948,385,646,010,
321,237,153,843,495,057,523,296,219,208,556,408,235,311,457,637,917,375,815,
215,673,504,663,757,870,697,892,612,965,097,195,406,369,521,676,613,423,682,
942,816,502,984,547,264,891,665,735,002,248,769,484,741,744,342,387,830,292,
779,838,327,519,087,800,379,826,439,213,007,223,668,086,612,441,388,575,460,
877,585,828,869,706,417,927,513,207,364,726,715,910,655,637,665,266,729,866,
922,339,637,159,874,135,821,534,383,725,106,321,050,772,115,663,462,872,299,
023,094,019,280,100,451,298,080,570,750,952,769,831,126,736,027,437,704,026,
233,960,084,054,851,257,002,209,875,639,298,804,290,564,073,396,514,368,484,
080,306,252,509,086,049,626,165,957,371,887,341,593,178,210,059,927,597,627,
138,180,553,552,523,987,888,953,415,669,617,547,810,213,588,487,027,916,907,
671,886,073,143,441,235,666,040,750,155,888,470,490,112,753,856,368,189,012,
092,993,871,041,306,638,752,293,647,356,703,848,594,450,397,541,570,141,237,
299,904,432,643,691,532,988,945,883,006,263,734,251,215,684,297,642,441,584,
247,925,836,737,701,204,471,831,804,172,188,139,651,628,855,322,221,106,653,
832,326,216,534,057,547,488,386,727,768,930,445,985,423,687,207,055,330,658,
978,823,417,499,101,818,394,670,912,243,743,043,453,732,809,424,110,606,998,
093,162,847,621,521,184,294,150,162,759,721,335,091,414,686,754,265,487,122,
874,803,329,108,624,920,909,775,391,576,275,439,909,498,834,451,226,630,819,
159,073,701,682,984,408,628,363,466,060,887,785,751,577,127,924,838,820,605,
588,188,565,293,356,515,556,735,139,059,617,041,200,986,583,871,971,613,531,
372,178,333,212,699,382,319,978,333,277,019,647,670,500,344,064,226,849,759,
373,525,779,906,418,403,853,483,717,398,404,913,788,438,413,371,638,470,114,
499,731,935,164,872,154,387,355,572,274,526,362,996,384,261,670,089,774,267,
917,904,351,575,950,277,808,876,078,373,704,751,534,950,294,813,165,458,828,
340,955,777,055,976,830,788,369,903,849,675,130,438,237,051,844,512,845,289,
361,747,212,439,993,968,109,227,408,904,490,485,844,465,550,065,103,360,360,
823,349,457,899,814,899,737,589,214,615,127,111,451,937,195,821,446,408,413,
105,350,101,505,497,044,397,941,278,794,579,162,990,729,710,536,196,645,082,
806,746,475,982,718,740,802,615,947,094,314,278,180,092,076,551,246,033,114,
433,879,316,419,480,348,831,468,976,704,720,011,098,046,893,662,722,374,657,
924,625,941,171,602,436,511,430,434,767,866,542,979,332,180,686,834,235,708,
910,066,404,125,143,065,514,652,792,778,667,150,747,779,442,781,040,274,989,
135,483,918,902,701,517,177,173,079,522,963,767,634,419,683,739,959,298,313,
868,040,925,530,860,350,824,810,185,102,796,692,471,559,455,148,099,921,036,
337,773,775,005,470,246,642,233,793,760,568,379,540,385,900,733,258,782,762,
513,394,323,647,861,558,486,547,140,620,706,167,817,226,064,904,959,185,726,
668,871,723,403,304,649,837,228,642,704,611,121,022,948,733,730,017,065,123,
179,615,778,975,902,773,287,416,378,844,256,984,746,154,970,466,551,745,102,
001,260,153,810,106,924,688,420,488,307,610,795,997,854,249,930,515,807,297,
892,927,568,711,469,676,267,072,327,544,377,709,070,403,516,287,426,754,584,
208,909,434,340,591,667,503,467,063,173,390,244,548,720,625,874,606,673,934,
666,522,852,255,538,245,383,423,804,646,667,282,660,977,521,352,417,233,710,
576,416,720,335,212,813,813,108,452,142,738,751,516,887,115,513,195,722,799,
404,760,748,611,230,800,678,458,099,747,582,824,387,547,967,607,623,020,855,
878,860,442,170,738,859,907,209,387,790,485,319,896,070,129,809,573,716,208,
620,062,550,364,985,795,371,724,073,437,681,677,279,936,365,331,057,536,259,
437,777,334,775,885,359,356,778,167,770,103,789,781,259,245,721,281,230,917,
307,045,639,916,293,843,827,558,443,281,466,690,370,838,504,823,816,234,505,
574,248,773,752,893,560,392,037,988,971,048,951,014,900,246,982,530,693,703,
633,629,230,701,121,660,430,850,727,080,153,955,569,749,391,441,012,812,633,
552,505,920,581,496,885,813,590,244,350,621,045,517,594,377,304,797,866,823,
412,023,893,623,921,011,005,787,613,212,993,929,096,445,608,931,295,657,638,
934,594,335,399,377,744,840,934,280,717,287,547,788,948,475,327,106,930,664,
038,215,573,187,870,517,077,909,126,328,060,539,294,698,658,751,966,555,489,
877,966,194,846,443,452,116,521,783,223,418,185,296,671,327,397,517,761,838,
836,719,337,949,875,064,295,645,164,720,630,492,986,546,999,019,273,153,324,
851,047,768,990,359,353,192,007,118,366,078,705,636,729,564,578,878,519,089,
351,032,738,040,897,672,081,712,875,358,681,957,486,147,542,559,899,593,101,
329,468,763,054,437,393,983,379,578,133,156,632,216,944,623,157,567,658,460,
545,613,655,023,553,674,056,253,121,458,385,500,636,178,422,967,142,697,947,
104,094,203,253,487,171,188,830,719,913,703,887,781,598,623,271,882,156,613,
760,062,556,460,721,075,059,042,016,891,838,508,622,800,586,035,584,261,079,
620,765,574,947,403,096,739,051,272,929,759,069,688,776,277,990,612,053,850,
989,902,161,462,743,565,746,518,242,484,188,157,523,651,730,318,450,319,891,
505,071,475,148,611,681,644,128,788,152,817,092,433,967,413,806,454,827,049,
916,099,068,570,606,817,953,958,643,419,031,559,185,123,503,208,626,320,372,
700,339,130,135,640,152,638,227,044,817,330,383,758,091,544,873,471,172,338,
268,142,876,752,260,805,574,525,909,829,193,098,983,099,083,705,004,196,733,
184,146,686,957,825,997,781,124,063,128,607,883,043,195,753,287,440,667,215,
939,181,906,779,338,581,360,876,067,775,999,361,211,727,907,896,332,232,292,
792,137,451,541,856,474,022,593,537,744,879,513,685,296,698,717,693,076,177,
591,108,537,735,027,130,900,381,274,658,761,814,185,842,369,583,567,222,956,
926,961,393,518,645,659,790,785,144,032,214,385,390,677,609,031,731,617,223,
511,864,182,198,426,957,083,649,345,716,422,560,303,505,515,775,271,853,351,
464,466,594,894,687,213,615,644,707,927,047,977,933,627,563,026,997,777,017,
755,455,576,298,147,714,510,169,204,921,349,370,655,927,908,710,762,750,898,
792,338,220,118,821,932,872,332,342,701,323,169,459,407,680,954,311,918,114,
749,061,859,512,282,443,200,993,749,840,941,859,175,343,160,389,112,597,960,
318,692,988,111,243,439,603,845,107,007,405,215,621,542,430,973,988,794,543,
253,367,252,973,269,013,628,325,329,433,414,113,209,785,210,087,903,258,609,
454,330,583,462,245,612,765,676,251,607,212,920,438,924,304,203,803,741,902,
013,512,754,534,099,792,133,536,538,005,685,547,101,465,411,354,834,281,505,
388,435,978,000,550,084,722,975,938,230,473,897,242,150,106,745,524,685,474,
609,094,628,731,056,122,900,045,727,586,254,703,295,955,872,187,398,616,396,
935,763,749,513,342,832,150,426,739,944,513,553,013,494,402,269,126,507,885,
240,480,234,948,051,641,484,252,709,591,827,545,094,546,505,815,844,894,888,
918,299,370,677,455,134,132,688,166,029,241,465,972,002,217,685,474,343,420,
518,374,918,235,038,551,200,281,646,552,306,652,142,012,370,653,613,461,319,
931,694,216,472,377,686,874,157,243,371,451,767,287,466,048,006,331,600,118,
687,649,318,950,182,810,721,921,612,909,370,015,619,232,452,284,165,795,524,
391,211,525,061,310,996,755,923,377,196,893,102,189,708,992,454,775,510,978,
449,684,163,570,780,534,618,631,429,084,717,495,799,968,643,711,242,111,062,
324,867,844,101,262,207,985,967,434,882,380,860,041,393,469,698,919,022,063,
748,284,209,810,676,323,523,247,131,605,664,190,323,644,763,025,961,618,074,
622,754,458,266,449,990,258,852,796,035,893,421,594,432,745,110,822,969,188,
811,180,030,246,175,820,514,984,531,247,421,329,702,057,043,071,403,661,450,
752,514,755,974,577,188,394,440,769,293,879,575,012,446,416,774,395,365,440,
603,166,893,056,108,844,807,036,037,617,531,954,641,477,455,663,585,322,745,
845,530,153,076,503,547,689,322,308,725,643,181,456,050,945,759,229,419,017,
002,910,976,939,628,732,477,783,120,223,082,158,237,604,288,077,558,099,671,
559,963,618,389,778,740,775,363,706,389,609,480,800,105,308,213,423,002,573,
383,088,385,614,393,838,505,186,440,150,395,750,539,067,563,321,717,624,206,
151,910,855,962,124,549,597,192,201,367,705,463,497,093,998,785,286,917,597,
125,485,150,120,487,228,051,268,575,257,267,059,778,718,146,109,736,549,361,
334,766,815,738,066,583,091,011,328,513,884,268,808,544,025,162,658,460,311,
964,068,976,444,185,358,844,763,021,184,482,502,569,594,420,292,523,147,423,
236,439,461,371,797,188,183,230,768,861,874,649,625,287,921,096,200,187,318,
326,826,264,140,943,309,504,616,217,330,749,595,665,660,544,496,409,767,491,
976,448,219,569,520,543,797,357,152,826,752,941,806,369,538,143,597,428,779,
645,296,776,501,471,775,015,803,702,795,124,273,069,255,165,960,958,295,326,
897,783,098,034,829,653,439,506,061,989,114,291,950,989,776,833,643,838,460,
488,904,400,167,543,554,144,208,497,591,153,833,942,665,289,251,349,630,656,
260,674,762,098,922,806,669,564,735,636,977,918,938,226,970,499,134,227,659,
476,936,896,097,854,559,566,520,818,652,017,509,637,484,174,208,032,595,416,
884,891,359,183,960,927,877,243,975,704,670,973,935,901,967,506,504,816,282,
045,434,148,098,466,726,616,576,996,336,133,628,389,408,433,363,635,430,187,
640,494,859,865,016,045,795,331,645,068,770,868,336,506,263,746,534,730,635,
754,130,705,902,295,343,651,981,671,522,776,844,762,840,597,608,762,658,407,
607,247,147,479,579,651,553,405,135,492,826,012,004,928,421,393,171,818,873,
124,922,937,184,558,523,014,551,483,614,334,427,520,490,598,066,007,000,990,
766,466,229,147,742,048,510,030,849,184,218,904,933,023,573,396,672,406,177,
750,140,113,386,397,080,142,420,996,366,532,382,368,274,419,983,534,637,240,
542,141,670,999,211,266,888,268,528,420,708,489,294,320,737,771,253,715,095,
156,952,577,937,698,077,344,787,818,362,136,561,294,013,769,055,754,647,082,
382,008,431,676,214,387,821,936,061,946,700,378,548,828,429,532,232,617,461,
467,909,069,257,191,892,915,909,854,724,273,029,788,938,432,879,962,987,933,
659,834,438,957,600,103,070,605,380,830,759,250,159,017,186,529,014,269,942,
631,104,477,053,694,407,915,268,564,394,282,334,570,162,439,035,076,537,634,
907,111,847,881,819,814,239,802,173,947,557,567,301,082,771,982,068,564,825,
739,685,944,878,443,409,744,727,505,803,141,516,722,338,565,848,755,556,648,
969,011,098,238,498,736,585,056,375,452,355,631,971,530,054,705,053,809,883,
743,895,743,860,776,535,946,672,758,855,417,564,391,164,037,837,391,471,669,
645,132,609,098,636,433,954,862,096,262,325,443,082,623,931,449,450,165,531,
196,418,319,116,286,466,352,020,162,926,935,328,961,571,465,687,928,713,198,
689,873,790,041,702,279,133,701,024,258,260,306,925,818,999,190,868,358,826,
967,499,217,233,721,966,922,051,850,534,533,783,362,329,706,764,519,319,807,
070,065,345,652,312,029,309,277,190,746,514,529,507,729,398,046,146,687,205,
743,114,637,944,237,997,896,176,038,285,286,568,631,787,308,003,626,809,996,
096,556,905,806,601,120,633,750,261,890,457,226,098,981,722,937,614,457,925,
695,501,831,318,538,638,198,905,093,479,890,148,978,976,288,417,774,779,027,
123,317,964,123,460,926,628,943,528,472,670,935,201,704,675,387,900,413,755,
602,826,288,584,784,718,697,853,764,767,109,594,468,798,952,868,490,404,258,
058,644,716,934,062,266,067,525,576,705,349,941,689,160,207,947,663,389,125,
360,438,336,362,923,167,339,626,629,195,295,551,221,247,726,817,167,199,064,
889,059,434,330,060,909,707,987,833,284,334,114,565,021,711,413,061,447,937,
123,348,226,559,247,809,174,049,498,084,844,258,888,094,865,829,350,447,983,
280,095,118,241,255,666,761,394,406,562,789,800,025,851,404,206,269,150,937,
530,756,789,970,658,939,808,667,131,018,894,004,238,201,764,362,785,655,063,
582,818,942,640,026,927,998,615,870,941,932,811,708,290,435,310,673,991,469,
729,632,914,370,565,773,854,410,241,885,095,693,168,663,007,128,197,166,448,
677,006,097,845,809,888,753,660,393,167,014,836,518,346,797,012,696,696,231,
442,753,880,381,504,038,475,301,258,278,534,006,665,120,773,242,040,972,007,
674,242,797,371,307,803,943,778,194,824,168,024,407,017,801,701,222,728,152,
135,331,518,508,789,483,893,778,725,791,397,190,443,653,248,226,109,755,078,
635,458,097,439,419,945,001,765,951,643,640,240,374,331,607,688,873,710,000,
176,526,870,114,379,946,402,876,627,188,498,768,800,816,079,398,827,442,006,
592,492,511,985,480,627,161,244,944,065,704,725,170,022,846,938,620,814,990,
586,162,173,502,305,412,078,048,490,094,096,520,889,236,909,657,618,191,984,
147,385,558,827,996,433,574,881,275,891,636,525,682,306,480,477,828,722,123,
896,972,289,364,305,524,492,222,561,102,861,874,280,920,524,446,999,914,046,
086,356,738,807,639,938,461,631,622,313,724,045,829,338,517,742,948,113,553,
046,349,295,799,723,303,436,322,163,602,868,385,358,432,976,979,276,357,507,
236,956,840,777,207,093,523,158,696,157,693,107,285,132,831,395,766,969,401,
695,699,399,339,086,870,115,631,676,891,881,859,694,140,363,244,844,705,077,
097,044,942,238,003,554,771,921,230,834,482,637,419,365,976,652,149,823,790,
269,482,891,376,090,536,996,256,777,466,749,310,457,392,513,996,992,677,983,
482,714,469,118,339,404,590,014,360,112,387,578,418,437,022,130,748,893,841,
110,364,085,727,292,358,776,079,646,102,038,419,683,550,712,380,047,264,900,
164,228,664,078,256,093,593,546,303,594,178,829,990,978,944,360,402,796,834,
393,356,503,780,072,822,303,516,329,168,060,781,329,415,477,841,536,290,056,
545,969,623,828,765,685,771,450,995,161,534,412,808,463,301,159,526,115,693,
239,656,997,633,581,889,696,880,710,405,355,980,714,440,156,898,002,704,406,
868,151,721,570,195,631,643,649,729,242,130,316,457,426,049,054,570,059,830,
025,964,194,884,518,549,975,796,898,304,041,634,155,563,996,801,931,251,170,
370,982,004,145,143,496,858,054,866,298,258,185,878,792,463,904,564,854,246,
118,517,112,210,317,348,031,365,807,931,693,210,980,343,228,156,771,109,345,
269,564,285,979,025,764,979,844,056,326,367,082,555,149,113,945,139,626,086,
231,756,775,019,809,267,878,983,034,017,717,554,924,594,298,535,704,585,857,
612,243,618,686,395,503,097,262,512,648,510,478,453,082,274,419,249,994,679,
135,247,230,922,419,246,624,608,558,857,357,719,242,807,722,095,968,907,983,
271,280,732,329,030,743,741,464,974,885,413,921,440,041,116,116,481,687,120,
851,632,554,543,899,536,192,885,702,652,782,397,024,121,486,641,923,569,300,
839,496,768,957,609,505,851,484,482,748,675,510,420,826,705,020,834,175,877,
828,617,231,250,212,354,484,995,407,542,196,909,636,402,680,902,149,218,776,
579,714,947,629,249,800,828,625,988,122,261,581,008,556,134,417,150,466,783,
887,933,804,794,021,924,954,203,279,147,588,011,693,114,690,038,832,061,545,
920,175,441,435,129,170,638,770,375,778,467,962,526,243,001,615,604,482,784,
334,682,905,771,503,813,544,661,627,812,302,525,383,258,469,559,443,574,717,
295,199,487,798,941,918,075,778,416,127,064,958,951,961,315,393,137,889,883,
271,187,868,345,708,436,225,181,580,952,065,694,591,246,842,211,062,996,382,
473,695,712,625,355,698,545,318,568,845,942,114,376,043,717,003,946,405,449,
764,754,046,053,538,097,628,284,085,308,920,895,768,166,625,363,189,130,897,
653,421,522,350,153,587,280,803,982,905,298,518,280,322,618,102,395,690,139,
616,826,213,455,070,015,059,545,206,368,737,829,892,594,112,681,690,706,927,
102,847,238,151,643,107,008,104,469,319,983,324,382,819,510,227,774,382,915,
623,597,010,669,870,989,602,901,702,971,439,213,672,322,665,983,214,622,092,
044,103,590,730,104,946,400,145,333,961,379,964,778,657,000,602,666,128,733,
312,327,314,246,765,318,856,427,740,231,799,658,956,908,935,365,228,612,894,
529,694,587,159,250,111,251,932,910,780,584,237,653,416,879,712,430,874,963,
910,007,690,213,933,115,197,203,016,809,406,987,975,482,187,816,041,900,214,
797,773,081,782,124,087,862,201,253,057,498,046,645,610,589,169,230,767,895,
813,558,890,975,845,408,242,783,686,742,397,243,142,699,558,571,207,851,408,
342,395,147,548,797,885,775,925,978,068,173,000,642,325,438,675,267,394,484,
807,213,759,340,318,087,585,219,145,203,295,847,649,237,063,333,628,043,333,
264,748,831,052,235,600,843,442,832,637,682,914,762,851,909,357,516,315,528,
006,951,478,826,300,119,384,708,949,666,041,176,057,691,115,135,198,343,960,
132,375,385,222,588,367,775,256,524,929,356,956,650,911,985,010,446,373,222,
051,192,986,350,051,727,463,283,464,804,528,158,220,912,719,851,649,290,790,
087,893,068,961,382,666,025,632,484,153,552,365,412,119,938,591,993,241,833,
126,909,076,635,645,445,867,826,913,642,340,373,203,322,400,548,314,261,585,
618,839,029,304,603,054,236,270,250,711,591,740,840,114,908,464,811,909,675,
109,241,915,225,834,960,139,636,840,878,847,181,788,355,986,084,660,341,041,
424,730,606,014,125,310,959,989,702,524,382,914,832,781,696,314,067,888,036,
599,267,538,675,386,572,139,609,414,897,558,032,380,006,091,485,650,224,415,
763,060,792,135,182,456,769,620,197,544,797,211,425,357,931,200,122,042,127,
790,203,643,678,446,336,968,821,852,259,311,320,778,440,524,962,666,688,706,
505,926,615,466,746,371,873,329,882,683,852,347,283,336,224,734,293,459,736,
899,378,638,123,505,836,704,414,231,411,833,684,991,108,969,035,257,842,571,
807,529,289,983,148,515,103,758,485,958,882,994,827,828,920,053,460,678,317,
221,187,136,827,384,305,760,985,454,492,038,988,282,014,948,461,765,132,162,
205,346,133,248,412,096,127,142,281,766,031,575,753,216,729,862,789,405,738,
055,378,397,560,636,972,816,360,118,432,217,444,904,110,290,524,053,419,706,
386,895,124,861,461,501,116,703,286,859,753,692,246,073,953,262,321,897,024,
827,763,248,549,130,055,892,487,131,171,034,559,512,836,473,761,495,218,249,
441,312,195,134,300,992,523,318,140,324,964,957,074,012,580,124,383,790,435,
652,381,461,894,664,297,084,454,117,075,481,683,663,483,222,745,574,724,784,
776,028,555,789,721,725,661,666,414,714,749,009,248,814,108,986,036,613,949,
174,637,100,010,220,821,713,178,235,506,044,584,677,324,672,928,300,488,283,
851,376,607,290,447,276,344,589,465,481,061,907,274,255,954,690,336,128,707,
071,404,791,266,207,599,379,644,305,607,596,614,388,775,254,630,651,786,566,
712,967,597,802,704,544,574,497,012,022,789,462,121,188,325,664,204,520,028,
034,776,708,653,747,468,961,619,995,849,629,865,513,248,028,666,227,297,571,
621,979,669,648,735,804,490,176,240,339,035,529,967,271,903,296,960,029,586,
598,804,470,655,088,442,066,720,097,820,568,013,840,151,577,070,331,158,288,
431,645,202,158,050,081,763,374,325,468,269,705,802,253,249,124,643,761,228,
925,762,596,451,524,398,918,406,241,634,011,038,119,908,506,059,377,767,191,
116,364,182,106,130,356,556,289,270,283,327,686,193,165,507,449,028,430,217,
556,439,271,579,900,188,972,716,666,338,364,393,224,216,227,516,581,883,341,
304,126,371,714,124,045,027,619,529,321,932,743,224,616,653,417,571,522,791,
175,627,636,349,079,964,016,487,033,489,953,825,555,693,956,868,820,684,946,
451,080,058,279,686,527,428,870,515,426,547,524,781,915,086,627,146,345,413,
585,961,919,049,271,037,136,130,097,937,326,241,785,817,428,668,065,885,207,
698,059,758,586,724,372,943,994,801,138,785,655,583,504,411,276,743,781,444,
108,350,468,514,632,406,965,579,538,153,461,946,552,714,241,938,138,984,627,
595,050,334,618,811,975,137,876,786,877,054,048,948,086,882,640,936,491,764,
373,554,299,496,322,741,149,036,452,223,158,962,682,067,779,693,084,480,211,
331,437,992,899,234,433,371,690,182,373,270,606,174,362,840,539,721,259,375,
045,431,872,059,430,985,557,338,505,310,227,364,902,556,892,509,544,644,372,
593,067,711,177,194,103,339,977,669,380,497,289,194,714,922,975,625,858,151,
709,632,591,741,636,566,460,561,445,917,166,977,234,068,618,305,047,911,529,
027,841,501,849,602,148,514,322,294,124,537,180,528,812,194,864,133,921,307,
276,255,155,723,097,141,609,842,083,310,670,176,759,838,234,334,269,674,330,
337,134,675,657,603,896,206,480,675,171,364,350,839,171,216,176,960,570,500,
300,931,286,427,834,515,707,676,197,981,885,805,177,003,755,919,400,904,918,
713,292,743,626,473,542,995,807,666,071,328,392,594,140,496,166,527,826,852,
513,707,471,784,240,860,681,245,466,832,184,285,624,336,861,685,228,346,270,
487,277,811,657,387,464,658,854,274,106,129,567,138,707,196,407,133,795,730,
621,615,037,331,558,198,088,594,064,127,484,617,049,583,098,535,333,302,381,
713,944,280,569,543,845,037,716,557,872,603,471,423,353,446,791,415,125,728,
893,752,158,525,124,411,159,962,551,855,523,744,118,968,111,786,412,718,681,
541,952,228,493,459,551,097,065,330,735,344,226,385,701,004,926,994,363,677,
193,660,512,893,449,246,182,875,591,723,125,560,094,800,704,871,233,394,533,
413,102,645,005,049,744,444,948,609,351,505,264,171,705,407,540,649,744,036,
884,655,300,249,095,819,408,840,900,576,834,931,471,488,597,529,952,766,114,
530,375,292,899,251,846,528,309,337,903,938,596,553,360,770,882,225,609,278,
350,839,547,219,727,681,585,400,411,044,374,782,589,987,838,930,334,617,038,
433,261,656,047,637,196,724,607,487,939,098,568,206,539,723,624,340,010,836,
632,640,872,577,590,728,272,960,226,890,277,567,936,863,712,109,952,429,485,
509,468,215,020,194,629,143,480,193,528,966,467,093,652,857,819,169,925,173,
921,909,422,083,541,921,586,326,652,632,836,780,326,663,011,759,622,099,214,
199,927,488,061,512,234,965,662,054,052,726,652,248,249,402,010,486,649,980,
409,815,470,237,916,347,578,789,043,981,150,270,258,091,557,525,803,153,804,
786,980,552,471,417,741,969,005,555,917,595,190,305,744,180,236,757,507,979,
428,606,751,841,564,121,965,688,100,540,193,697,238,970,400,251,449,115,803,
676,070,944,471,506,018,810,082,102,166,408,382,469,554,528,089,561,411,295,
943,167,672,699,728,650,562,508,117,677,200,252,366,472,318,254,104,706,152,
739,325,382,802,654,304,112,356,238,814,516,020,715,813,256,802,455,430,642,
825,480,755,422,324,902,429,541,219,739,220,371,436,023,069,069,029,750,028,
539,305,295,010,558,799,569,938,778,781,530,238,496,923,835,477,463,741,113,
466,625,085,234,317,166,888,350,659,333,997,486,490,764,416,106,919,279,924,
353,376,461,370,375,708,818,798,422,587,281,719,194,891,594,316,418,132,976,
710,056,520,244,667,956,120,669,991,956,040,255,663,436,533,775,256,832,124,
421,277,907,146,476,684,605,600,202,315,735,014,188,714,869,874,569,324,287,
687,490,815,580,910,084,818,482,681,879,840,122,236,466,879,381,693,186,579,
573,670,077,747,583,057,273,633,977,309,961,767,893,240,290,272,477,991,503,
543,491,968,031,397,041,358,166,856,646,911,560,837,221,709,399,719,916,815,
005,419,862,030,604,586,672,167,857,510,200,963,776,880,284,596,203,698,417,
969,531,905,295,282,283,860,369,041,218,077,127,850,541,892,595,719,942,094,
114,706,059,164,692,870,799,117,126,507,473,339,472,070,808,532,923,951,366,
480,429,150,167,062,124,085,777,736,810,908,139,532,296,189,918,350,102,153,
425,067,206,343,514,239,370,480,555,111,670,249,468,657,517,650,664,889,754,
426,206,304,679,415,431,848,333,000,981,603,543,213,251,522,540,096,057,566,
750,385,378,277,251,043,508,314,188,599,659,628,117,446,246,050,656,063,295,
784,571,760,891,186,284,841,614,654,711,806,418,116,327,055,819,469,940,940,
889,244,192,646,092,729,041,454,901,947,272,852,398,289,066,596,827,048,573,
107,541,620,603,387,198,597,378,013,185,130,470,995,508,412,261,623,324,717,
591,175,896,219,906,504,851,069,542,527,080,089,081,218,641,669,530,177,367,
368,175,793,893,590,148,655,807,308,884,767,149,834,307,999,131,336,507,365,
464,897,309,573,600,250,239,461,820,355,218,453,372,555,930,309,221,738,877,
566,383,318,117,509,730,047,091,305,708,792,802,379,049,608,725,284,914,282,
430,049,648,645,962,349,442,771,593,358,249,054,928,278,224,463,248,648,384,
780,833,302,707,850,183,069,220,281,494,399,992,812,683,716,698,425,201,542,
956,675,060,078,831,594,862,819,992,445,331,337,123,832,510,480,580,801,745,
985,748,720,678,128,502,187,043,068,280,083,866,674,360,896,222,534,412,810,
569,810,519,206,034,964,077,454,279,548,854,736,584,375,283,642,735,485,085,
319,025,020,734,033,301,900,718,776,907,710,906,314,377,058,386,689,622,237,
125,971,225,113,589,426,109,080,275,379,952,905,783,879,644,815,030,551,488,
398,322,208,131,123,768,801,028,321,454,990,251,273,601,951,648,808,604,578,
814,731,545,688,910,412,981,190,148,308,897,841,267,143,481,391,163,373,847,
038,767,913,000,058,708,420,648,383,231,640,427,546,210,246,715,341,347,295,
329,470,812,542,879,201,918,527,063,490,313,888,816,812,500,982,005,616,700,
762,741,340,308,572,426,979,253,501,129,071,058,709,925,220,015,168,184,883,
154,988,160,644,068,466,833,795,505,815,766,850,971,418,156,656,411,176,725,
261,603,520,165,002,692,261,587,385,443,916,229,365,501,603,302,474,649,027,
468,115,210,278,838,677,249,304,469,960,410,604,763,643,900,689,563,215,006,
830,791,068,276,958,629,097,263,895,161,361,449,027,107,117,405,122,471,641,
978,136,163,283,909,617,387,885,824,074,534,495,571,775,370,881,340,399,403,
315,445,055,153,961,438,635,309,563,871,252,626,157,529,434,103,547,959,800,
897,437,302,158,500,512,899,552,296,303,572,801,359,118,439,067,072,171,754,
718,800,904,204,323,647,935,412,248,625,783,878,146,706,759,324,686,200,215,
625,759,782,221,233,222,656,221,454,734,044,497,336,623,014,533,814,057,861,
167,961,902,204,059,160,007,827,323,037,629,250,378,436,785,352,745,577,424,
095,738,562,876,854,662,281,669,817,033,294,183,559,904,302,969,414,154,527,
274,924,145,443,789,569,461,267,671,459,428,307,490,918,884,303,982,528,643,
513,661,035,927,479,308,987,776,703,529,195,863,903,094,239,642,382,497,637,
299,894,092,014,380,965,169,902,780,172,972,229,923,192,669,590,324,679,741,
040,616,148,611,522,946,977,283,750,734,235,111,794,156,237,680,211,161,705,
328,960,442,273,499,588,838,683,710,498,562,778,176,585,710,148,050,849,031,
375,227,067,050,991,985,728,971,697,449,247,991,090,123,833,736,548,223,903,
530,573,702,063,307,853,364,947,291,270,275,859,341,682,754,007,100,481,860,
851,421,740,758,742,907,197,318,155,361,428,758,693,195,087,762,417,193,366,
444,516,055,717,293,920,447,284,432,124,134,751,084,783,009,381,854,043,262,
106,611,193,980,672,069,365,004,519,071,942,109,737,006,019,155,178,207,568,
331,183,113,503,181,877,469,491,289,275,527,056,368,565,595,314,310,357,742,
917,815,569,182,796,342,193,579,168,511,333,456,353,694,967,922,897,426,594,
908,355,634,318,805,918,321,340,305,558,136,001,326,741,273,161,940,695,893,
814,786,166,787,301,996,559,382,933,308,029,174,868,863,279,914,949,055,635,
732,963,465,342,414,906,301,253,683,002,304,804,565,222,680,678,830,409,631,
790,140,429,560,706,624,031,493,080,176,087,640,963,855,347,054,967,798,876,
303,054,424,263,526,425,878,503,151,980,488,321,420,946,126,941,823,839,109,
300,733,999,502,246,057,571,888,157,072,036,371,245,271,852,717,620,570,861,
554,364,868,021,598,612,458,300,053,488,047,739,105,709,844,068,343,489,731,
675,997,623,030,843,988,814,161,278,353,970,499,403,999,039,406,689,902,248,
060,097,319,546,398,624,538,967,697,670,382,323,379,564,800,198,961,604,450,
877,501,896,538,734,791,196,656,314,752,296,173,604,702,190,482,530,106,460,
916,521,425,651,496,741,461,992,057,772,770,228,939,890,144,146,264,126,809,
251,874,951,389,758,507,440,566,174,137,542,793,942,661,425,508,901,816,198,
949,562,527,624,603,773,513,509,851,622,812,115,795,247,397,172,337,240,326,
910,117,457,998,187,933,147,267,647,667,292,158,696,261,670,025,253,654,196,
861,262,135,464,430,839,172,066,914,781,454,619,914,794,483,892,799,025,325,
475,437,781,509,203,195,019,493,558,410,606,159,710,236,238,190,348,674,235,
006,055,264,772,501,878,173,342,862,220,071,023,844,398,638,845,800,160,911,
687,330,841,643,617,625,554,014,347,215,132,554,046,779,044,977,491,652,274,
472,668,472,009,340,871,720,111,888,803,012,874,103,344,973,305,414,407,282,
052,340,719,814,837,766,555,118,980,942,785,943,692,445,631,986,735,282,269,
835,289,054,897,347,761,276,838,231,034,093,217,688,246,050,280,625,429,624,
018,118,723,091,987,810,663,934,534,301,118,434,559,514,053,542,255,613,129,
575,685,041,001,974,878,705,255,293,434,481,007,107,404,005,305,091,749,076,
691,371,195,508,142,243,741,597,777,578,277,443,152,618,671,485,665,710,976,
951,630,001,385,016,730,067,909,674,345,560,999,090,141,227,513,921,223,836,
639,949,166,024,110,531,826,200,193,790,754,104,247,878,600,207,463,146,592,
850,923,315,340,263,014,616,917,234,469,406,999,310,097,550,850,610,129,728,
936,332,634,565,068,902,931,945,007,301,274,317,478,819,481,161,462,634,640,
378,995,027,198,016,319,565,034,287,194,593,772,234,433,305,020,667,198,986,
972,276,337,729,080,633,916,080,468,480,117,384,278,800,052,986,419,613,074,
495,103,875,737,377,176,082,925,608,053,045,302,510,401,903,061,890,556,911,
962,387,057,543,888,855,725,275,956,443,685,658,999,611,638,637,169,211,753,
552,187,580,394,098,189,643,114,647,905,586,636,267,380,607,814,996,181,503,
433,796,544,219,890,420,546,344,481,118,736,294,435,105,058,179,649,335,695,
872,393,689,335,961,064,954,105,534,855,249,876,113,273,676,809,351,978,482,
055,763,864,728,148,835,384,718,830,142,201,598,937,664,857,341,655,200,782,
581,419,117,092,534,547,643,170,574,831,011,681,818,278,375,721,321,825,394,
446,883,513,020,628,316,453,196,222,673,105,347,781,843,995,787,187,090,991,
670,373,335,833,773,004,391,635,887,933,827,726,536,409,593,569,909,585,683,
378,240,223,279,102,577,372,963,034,693,148,033,066,494,604,190,118,480,766,
493,680,184,632,709,507,083,875,831,851,491,681,104,501,802,479,750,733,424,
696,812,503,011,848,094,356,371,864,078,067,131,816,280,654,948,888,013,135,
661,902,234,100,954,432,101,335,064,655,556,448,436,461,821,692,878,580,126,
859,027,056,337,538,782,488,544,559,179,187,433,654,628,256,055,665,498,875,
000,528,568,588,612,691,468,811,826,675,644,961,751,695,408,269,820,679,511,
558,444,937,554,901,562,252,465,728,755,896,423,726,998,824,923,463,435,625,
639,516,401,653,513,113,649,981,880,892,975,016,943,030,283,037,014,116,830,
366,917,415,329,680,191,554,209,123,144,273,560,126,107,315,521,795,933,753,
310,949,467,057,084,975,289,316,325,440,148,624,299,494,487,446,587,743,481,
356,802,832,891,108,941,556,952,457,530,710,527,606,850,487,209,777,749,748,
922,759,180,886,518,251,680,631,958,144,281,133,905,456,609,923,175,713,270,
865,128,110,254,819,074,441,146,210,554,632,053,190,334,249,981,396,491,891,
324,518,112,708,398,961,921,104,314,684,932,527,680,846,696,590,252,638,575,
645,509,165,767,972,003,476,152,661,210,768,326,834,706,341,751,174,244,042,
653,161,795,448,851,803,918,675,480,300,357,257,415,111,150,105,301,174,209,
323,515,695,765,918,376,376,259,416,814,230,666,803,186,491,493,791,541,872,
102,195,191,777,397,639,643,877,255,562,564,282,385,501,087,258,431,730,380,
527,489,944,206,374,773,312,121,705,245,532,756,422,264,997,362,058,249,186,
271,540,198,384,250,298,100,709,615,074,107,964,303,848,442,969,073,799,213,
382,432,096,259,639,192,850,238,371,772,935,976,190,088,437,884,517,886,980,
598,571,890,134,814,650,010,474,174,150,364,109,023,398,053,990,790,788,069,
150,596,359,849,616,641,177,222,252,369,923,629,901,861,999,397,853,598,595,
880,734,012,128,920,668,721,420,223,131,149,559,512,701,406,543,802,036,521,
311,406,423,058,434,677,799,422,990,760,786,297,156,563,277,175,039,019,485,
782,163,537,527,781,650,957,240,078,071,158,836,845,345,491,504,495,456,485,
662,641,770,571,772,746,486,546,153,430,790,625,205,100,388,953,176,281,139,
497,456,310,317,845,448,426,475,952,824,677,779,570,113,133,266,062,286,957,
059,628,829,577,584,551,412,665,328,197,635,858,329,463,711,305,569,571,590,
418,513,098,441,767,475,535,991,190,733,558,673,736,033,588,353,022,061,928,
933,407,290,034,134,134,981,514,857,466,162,233,364,536,883,766,519,848,557,
893,721,037,200,471,556,794,053,838,641,721,174,214,970,815,493,650,201,047,
171,524,738,181,193,577,370,981,721,496,687,527,125,794,028,367,112,189,222,
153,510,084,774,536,879,206,635,999,957,702,555,439,259,423,953,283,218,671,
544,461,148,676,456,221,967,672,237,215,958,660,198,878,419,691,531,052,228,
040,092,967,281,691,932,689,795,932,468,538,508,787,878,376,527,059,029,099,
945,844,677,792,727,011,832,632,813,234,423,569,493,070,699,477,035,049,223,
015,282,736,357,182,402,468,102,364,287,292,300,761,222,750,083,684,780,667,
267,633,477,003,187,155,664,094,937,551,990,707,100,065,255,095,084,805,730,
192,188,820,828,850,931,501,670,960,829,383,234,296,516,001,917,986,170,229,
806,889,636,729,530,500,239,696,918,928,109,537,677,208,696,812,435,280,487,
668,020,886,971,918,547,548,855,179,928,747,001,007,710,871,757,144,421,775,
364,016,499,361,653,845,107,497,661,597,254,212,652,145,991,063,313,693,178,
744,318,720,495,828,714,300,058,582,785,680,303,278,461,707,828,975,857,270,
501,689,808,821,856,936,425,320,831,809,840,129,836,687,821,509,603,309,325,
439,734,158,947,451,929,378,732,458,767,138,803,962,037,402,241,451,632,787,
928,983,223,533,827,037,251,186,690,449,621,959,827,054,175,823,542,781,548,
933,709,908,800,064,852,261,534,819,612,592,704,298,232,945,807,104,718,809,
513,664,268,852,192,201,676,444,464,729,832,440,732,271,077,616,018,778,376,
622,200,799,270,875,428,380,036,225,386,030,609,742,066,466,921,653,325,055,
933,537,622,898,493,193,683,260,664,237,541,163,913,303,911,659,008,198,590,
414,828,315,684,558,189,067,838,271,996,887,724,693,216,628,284,400,377,940,
221,406,685,701,236,981,405,218,014,391,178,835,904,601,667,585,037,690,893,
248,871,972,417,018,501,213,000,361,956,530,173,555,484,487,250,454,642,721,
524,582,117,302,024,119,771,782,184,316,811,918,479,388,758,691,387,475,924,
636,853,790,413,103,219,422,534,521,521,040,187,394,206,672,975,416,372,885,
862,810,659,054,219,277,132,508,926,983,527,903,657,404,329,622,162,936,883,
560,023,859,317,145,450,136,752,462,110,324,833,452,309,103,332,026,258,123,
127,060,391,783,199,086,900,195,858,787,998,043,023,371,034,748,584,403,806,
322,731,022,217,285,043,478,960,802,095,187,197,825,607,854,605,454,767,049,
864,486,385,310,119,175,706,058,530,794,142,701,944,871,967,590,224,313,309,
394,930,202,373,194,126,020,036,206,160,788,855,954,469,112,882,852,388,376,
223,174,855,610,847,278,849,020,560,688,884,846,484,808,779,254,749,221,145,
158,261,492,757,748,172,007,526,541,483,231,948,508,143,224,679,790,547,552,
884,718,513,157,734,237,839,937,951,223,920,336,745,274,664,959,163,853,630,
925,163,640,096,537,046,210,596,303,157,927,389,752,271,167,993,927,718,295,
899,657,648,859,673,088,269,153,467,469,406,812,295,514,198,291,424,032,913,
066,672,147,131,439,373,514,678,415,066,902,713,750,705,972,158,873,791,466,
709,158,612,313,935,163,322,455,293,464,167,229,364,557,059,232,224,606,446,
334,508,976,490,065,294,177,837,971,007,118,734,005,817,501,648,990,950,765,
974,266,967,041,016,454,272,344,242,773,136,900,363,375,411,101,237,661,319,
930,194,739,738,543,694,240,106,975,467,117,645,594,370,795,786,018,050,153,
445,617,576,057,334,624,121,548,079,608,725,279,454,351,245,782,234,609,403,
530,941,767,029,172,247,558,341,790,617,918,257,342,952,904,023,527,887,650,
779,024,651,251,272,028,710,183,609,818,624,999,004,186,732,500,668,628,279,
584,223,013,786,066,207,045,975,162,552,016,728,372,123,178,159,705,203,734,
725,209,503,977,730,575,729,713,356,760,252,681,843,992,285,354,766,592,052,
547,149,802,379,183,924,025,160,199,789,648,826,575,860,146,437,070,258,419,
857,870,636,549,820,808,987,291,355,854,275,165,146,313,014,338,101,087,042,
351,440,057,779,240,021,584,607,759,946,047,592,418,906,482,098,468,422,679,
908,359,611,900,906,591,491,587,750,033,358,722,891,858,004,857,385,670,736,
877,997,341,581,070,153,590,382,506,394,771,632,844,105,018,570,049,178,632,
618,736,977,053,384,427,501,843,327,752,648,827,196,640,092,431,726,142,099,
089,101,142,001,518,478,751,228,618,885,884,031,941,687,936,328,018,353,128,
745,652,371,718,560,066,751,410,174,674,274,876,321,551,758,816,458,134,643,
801,694,776,745,998,359,319,567,486,374,960,941,860,857,567,603,317,087,549,
431,990,264,211,742,567,477,698,908,435,918,827,046,622,051,145,647,868,605,
088,133,506,822,243,471,506,874,745,887,143,795,609,456,728,439,066,426,258,
203,300,138,670,156,612,411,732,954,788,293,764,992,095,888,104,730,678,628,
517,728,765,489,436,883,436,707,016,993,370,900,402,071,513,005,472,489,304,
040,585,229,098,657,172,731,985,812,148,503,581,702,154,326,892,430,241,200,
783,417,096,179,279,015,903,424,407,226,178,360,125,081,738,579,883,464,718,
720,288,845,419,177,556,464,191,102,343,705,167,980,084,013,776,698,023,289,
378,001,275,980,346,904,505,164,447,195,915,801,247,906,383,045,499,373,747,
744,368,390,439,141,738,643,593,549,907,233,853,977,000,239,404,039,440,367,
779,852,416,813,290,852,664,335,865,093,650,379,306,306,644,976,086,856,699,
195,469,427,047,440,439,722,534,650,579,014,504,081,513,741,705,628,746,889,
373,168,484,679,731,509,545,430,103,899,459,647,914,099,742,148,806,119,651,
732,656,759,760,542,052,195,866,880,434,008,069,258,708,106,257,564,850,632,
712,841,723,845,208,376,223,767,244,517,296,000,760,375,908,131,025,702,327,
496,785,704,078,633,437,909,573,998,553,576,875,202,000,377,679,957,521,030,
340,716,949,620,405,422,991,282,862,737,208,877,917,266,901,732,455,535,649,
365,317,306,412,307,883,480,823,664,668,453,245,049,397,470,277,209,859,137,
847,336,183,519,699,594,351,003,247,912,804,068,302,609,396,602,431,984,866,
266,457,302,114,289,557,774,119,481,349,915,050,547,584,152,177,656,972,275,
094,443,854,933,201,746,140,729,583,112,553,462,219,523,758,558,910,083,236,
481,596,375,610,817,597,444,267,740,293,101,219,780,281,640,345,967,061,852,
593,099,542,071,833,799,190,376,605,581,261,842,937,174,449,000,639,821,930,
234,616,257,513,285,756,037,672,311,938,085,977,694,475,175,459,217,997,483,
967,561,580,573,227,426,342,333,123,931,121,524,277,312,708,967,092,311,336,
842,989,530,213,554,482,479,696,075,038,297,951,052,609,374,251,287,315,852,
117,566,142,438,158,199,845,695,992,606,891,188,621,358,274,607,834,874,483,
542,405,770,282,536,312,583,531,112,292,090,083,403,813,806,783,818,758,987,
823,958,777,334,817,687,119,048,835,642,439,896,386,705,889,670,508,582,065,
233,761,209,322,504,876,210,187,157,045,757,851,756,675,395,988,123,171,307,
552,806,174,757,097,321,977,283,444,632,120,134,146,318,281,490,719,536,266,
394,323,672,319,805,969,022,199,811,874,512,001,193,671,181,624,633,209,057,
337,432,407,255,954,817,097,376,099,873,899,717,539,500,590,680,541,778,086,
045,784,847,404,693,725,361,984,674,553,392,643,305,499,981,450,105,839,069,
117,338,978,816,938,134,329,020,931,711,211,255,730,332,960,334,166,231,525,
164,713,805,342,557,618,229,944,036,307,431,047,506,485,353,491,464,144,638,
231,273,096,083,676,676,461,000,151,035,096,027,000,262,092,926,128,728,250,
990,566,155,324,759,218,806,875,877,306,373,037,739,092,885,298,764,334,653,
575,543,257,682,739,571,511,055,721,316,223,500,488,440,398,373,635,085,073,
170,541,517,836,515,125,802,571,955,540,804,779,532,960,997,898,079,529,725,
757,871,627,871,655,691,083,754,470,628,361,074,807,948,471,868,063,211,688,
219,600,776,913,582,896,177,568,389,228,500,430,507,358,138,725,830,289,749,
700,987,309,350,638,953,793,065,921,782,924,102,678,823,648,452,014,194,925,
338,863,996,819,046,327,019,103,682,341,394,403,588,029,002,665,822,706,687,
492,696,962,592,482,519,054,778,266,832,482,797,746,649,301,364,409,235,256,
994,414,919,995,107,250,904,133,707,019,142,100,888,301,729,751,262,522,309,
047,727,884,741,801,376,965,011,714,850,672,117,448,445,489,776,030,726,808,
189,595,762,235,210,599,467,714,047,494,463,781,635,278,999,945,080,215,940,
701,872,910,877,977,797,060,094,073,786,596,241,818,070,916,360,201,625,244,
746,638,876,767,748,730,361,898,504,896,198,918,073,743,051,207,860,549,278,
938,764,102,814,435,905,156,650,628,397,537,580,066,877,271,931,876,023,113,
466,390,494,942,993,687,563,602,541,337,236,771,072,130,635,715,937,052,101,
039,252,191,663,078,755,053,537,480,896,351,610,025,375,990,025,671,612,220,
252,393,659,585,474,483,516,343,689,872,939,070,167,117,869,703,997,871,650,
387,908,303,040,808,761,568,312,403,126,359,649,211,458,362,128,300,469,100,
812,946,749,202,730,743,089,104,591,264,297,438,157,431,088,707,200,033,990,
203,078,995,718,241,905,464,273,276,385,392,899,945,625,520,292,194,206,527,
186,414,354,593,381,076,618,867,744,241,174,967,469,122,958,115,994,856,695,
486,663,374,994,252,700,449,025,930,262,156,752,544,165,686,426,921,231,918,
766,392,855,834,755,685,576,353,875,122,854,503,305,037,154,540,364,770,640,
838,909,961,888,615,360,395,135,728,768,748,331,480,451,021,921,458,728,725,
455,774,952,149,115,871,651,487,271,971,515,859,312,807,615,038,443,861,878,
321,352,861,791,110,340,673,930,615,396,811,782,208,306,760,840,986,770,074,
090,153,888,685,754,868,858,187,959,463,125,446,135,698,576,442,375,671,564,
256,711,654,992,685,793,886,175,084,004,058,936,343,415,869,864,108,510,432,
993,077,310,519,821,172,794,258,477,110,720,441,851,461,672,501,411,793,171,
466,832,680,270,206,114,765,540,649,642,121,605,684,962,391,074,415,626,337,
157,653,614,635,016,790,128,271,692,914,190,396,148,340,402,295,819,760,092,
913,773,541,366,158,221,761,570,171,714,891,214,684,907,798,257,834,284,476,
755,129,988,937,290,749,142,054,521,689,873,093,168,967,768,754,850,789,044,
784,379,898,834,202,250,878,890,884,870,013,140,260,169,500,651,315,942,027,
373,191,687,339,156,086,998,889,756,521,348,512,183,372,503,914,367,320,072,
545,107,910,728,402,489,524,067,471,403,885,820,270,670,230,445,492,731,536,
267,069,782,968,293,700,148,931,108,583,843,604,283,209,832,133,294,695,431,
356,934,289,667,389,250,446,862,394,111,039,645,527,702,950,122,777,579,310,
327,121,073,037,954,120,310,211,933,504,744,142,797,919,749,097,525,762,841,
261,751,928,995,515,599,896,433,441,660,796,254,186,843,092,951,400,711,471,
788,742,531,088,363,845,051,045,835,374,432,305,169,848,762,056,869,544,524,
516,496,138,306,626,715,879,077,749,537,919,966,556,765,634,172,465,510,690,
783,066,876,946,824,188,993,366,363,638,900,082,494,155,741,659,207,021,708,
283,157,180,155,104,628,908,712,938,962,145,379,205,217,090,003,412,518,410,
605,579,407,248,770,583,515,879,271,779,059,918,300,766,868,115,124,004,251,
716,721,028,104,720,078,646,732,359,460,068,037,700,469,818,115,867,947,423,
987,921,094,462,048,965,748,724,372,884,116,243,355,808,934,178,705,126,740,
023,272,999,973,723,941,274,117,152,794,396,312,873,427,241,475,301,413,750,
629,948,233,509,275,938,093,852,312,903,560,410,224,907,821,362,167,079,623,
454,457,076,768,731,828,003,289,242,634,760,800,606,190,215,468,333,618,732,
387,414,513,725,290,331,230,153,205,433,776,906,406,156,570,287,766,588,847,
859,325,683,539,201,864,386,221,172,509,006,324,485,116,236,340,639,795,514,
420,579,490,366,600,146,532,005,561,382,430,943,349,315,337,727,044,207,709,
534,356,675,772,651,533,529,901,728,244,878,830,785,167,991,188,503,752,171,
537,730,959,037,916,004,362,402,753,801,442,529,627,970,411,186,100,196,319,
397,293,851,652,357,957,721,891,994,956,590,188,321,003,456,792,415,837,581,
524,053,582,612,701,931,477,030,792,271,837,661,434,005,860,067,523,307,796,
168,372,295,503,200,472,832,525,993,362,911,908,934,705,247,389,141,825,959,
328,843,472,183,555,042,812,417,272,551,737,328,251,629,219,392,152,647,137,
428,703,251,796,585,766,077,818,152,336,650,306,738,928,788,019,030,479,878,
801,144,805,210,539,410,851,543,090,643,396,561,627,482,683,992,581,819,934,
556,139,054,453,985,150,775,208,284,025,329,793,040,712,576,896,653,177,102,
829,732,065,175,387,344,583,021,173,970,125,905,056,242,088,051,198,515,234,
187,526,390,409,730,889,883,502,471,209,815,118,654,541,318,308,906,798,960,
075,147,440,135,813,625,448,000,676,935,760,365,159,825,161,785,634,352,255,
441,705,088,939,858,551,063,995,252,465,845,158,135,458,298,959,106,756,608,
480,986,233,867,043,427,671,634,471,371,114,293,336,574,725,606,966,689,727,
643,460,050,207,792,655,549,327,216,564,870,307,108,348,341,009,723,589,062,
499,263,134,902,677,687,029,306,223,073,115,515,073,776,828,191,007,913,689,
872,483,697,799,028,033,201,095,415,099,501,802,672,812,476,117,730,360,100,
161,089,406,830,690,408,408,310,093,209,605,642,327,243,731,036,035,298,226,
526,404,824,508,170,684,834,718,277,024,197,314,584,506,460,977,762,069,335,
205,637,803,380,617,922,221,990,112,412,702,709,635,713,341,254,611,289,825,
567,585,849,099,740,115,251,658,144,577,311,169,446,144,690,266,812,696,587,
212,573,033,999,519,464,258,766,281,843,421,504,868,182,826,772,370,464,313,
143,340,921,608,869,004,308,417,476,728,583,407,814,604,688,640,765,315,733,
320,184,840,138,930,311,047,236,713,489,860,091,712,443,265,822,105,887,995,
245,566,095,640,001,248,418,662,838,863,857,764,987,167,601,506,364,065,417,
646,940,035,304,686,948,615,402,701,600,714,182,698,886,225,898,876,058,947,
307,437,623,602,028,075,452,663,748,495,252,551,135,690,777,859,389,072,197,
671,755,608,810,485,657,949,078,949,786,777,499,522,627,630,808,490,776,212,
985,868,290,611,469,184,202,384,517,415,152,894,755,911,660,875,267,868,291,
068,538,974,345,937,838,574,873,237,422,723,708,266,669,499,907,330,231,045,
545,808,294,144,748,485,717,216,452,134,006,141,840,957,275,897,998,640,622,
297,801,346,763,082,153,258,954,477,699,054,411,284,158,391,143,799,316,918,
840,191,349,492,418,336,118,388,292,793,331,536,318,880,824,952,197,209,783,
379,204,332,979,201,690,660,988,385,886,232,420,275,113,134,120,374,730,485,
933,591,268,781,357,993,904,621,474,350,116,746,604,804,105,915,632,920,118,
641,930,988,899,575,031,395,094,031,445,654,539,110,211,046,863,471,190,693,
651,956,783,249,013,614,935,076,935,318,829,265,754,614,684,478,844,730,144,
036,769,392,697,532,447,367,087,025,842,014,903,807,834,434,851,028,700,741,
237,181,235,780,269,977,711,877,933,407,693,674,972,607,630,383,219,786,990,
061,158,219,250,293,658,416,698,847,181,804,295,483,040,755,603,673,075,676,
938,583,778,099,731,539,823,488,485,258,273,137,135,668,848,434,298,873,251,
423,901,509,004,617,056,023,167,067,124,277,273,433,638,946,626,969,213,086,
539,885,307,395,100,469,328,886,308,327,974,584,609,995,517,594,461,788,555,
063,428,412,950,563,047,262,593,478,214,895,384,450,465,619,679,966,653,305,
255,208,614,975,371,019,632,568,710,508,359,708,092,624,938,425,146,704,929,
938,861,599,438,336,074,257,773,576,190,093,858,108,525,030,951,903,827,562,
171,811,473,392,477,950,221,195,465,398,000,412,696,838,319,435,582,678,497,
253,997,351,986,568,875,729,491,797,557,939,893,027,829,959,721,660,292,749,
978,834,506,462,286,780,372,370,085,372,272,682,523,396,889,524,584,637,203,
571,958,591,840,384,936,002,852,092,302,064,246,749,331,912,975,352,717,851,
401,348,369,177,251,726,835,058,044,619,810,541,956,968,556,264,074,518,846,
722,026,159,812,517,207,981,446,188,846,223,256,033,158,305,145,341,527,685,
779,924,099,274,447,670,948,264,343,689,156,402,934,865,051,265,370,496,495,
235,403,826,170,451,699,709,279,421,846,790,635,446,839,026,934,354,632,848,
617,091,182,142,620,643,622,530,772,688,641,756,347,421,962,530,546,481,981,
109,059,365,497,190,522,321,157,242,392,003,748,106,715,164,765,560,452,664,
440,685,422,555,109,058,589,630,489,318,689,769,996,954,309,976,781,601,715,
487,269,393,642,159,184,883,707,855,605,993,852,416,771,097,335,751,917,635,
064,239,393,940,566,310,481,013,780,219,247,772,350,913,222,860,854,389,257,
341,307,865,046,895,535,174,564,402,682,294,161,982,389,403,831,752,643,232,
776,621,106,985,384,615,919,369,266,457,340,970,332,106,225,262,647,135,459,
295,784,503,278,557,101,771,576,860,074,860,528,896,169,119,253,831,802,192,
642,056,122,960,586,628,117,700,607,764,656,886,202,890,826,633,455,409,592,
525,509,757,798,396,600,443,199,101,734,150,511,173,478,181,510,210,092,790,
133,235,759,703,957,471,662,244,401,072,767,828,106,975,197,226,310,190,942,
576,862,362,030,778,860,515,990,727,378,827,283,294,915,928,879,939,000,352,
396,675,936,654,981,968,601,295,175,867,920,240,222,573,460,102,403,380,572,
504,259,612,474,128,788,530,215,960,583,146,959,825,509,046,247,267,069,980,
701,029,662,004,394,088,339,744,536,405,748,163,711,689,956,758,562,768,222,
876,233,115,400,735,367,383,867,193,076,623,186,681,408,327,791,570,291,286,
889,141,356,500,833,738,183,655,704,501,667,083,660,243,793,051,926,742,427,
394,259,844,146,855,737,984,746,757,015,896,228,771,665,307,311,052,275,442,
870,407,034,969,148,141,632,049,353,808,720,843,611,368,452,154,967,566,001,
384,794,205,994,411,569,291,660,857,295,064,894,012,557,151,598,232,296,523,
557,916,566,314,906,087,137,771,079,173,847,459,867,130,594,087,917,927,628,
972,848,740,239,055,213,661,196,332,478,682,512,883,837,709,050,500,691,176,
202,572,614,641,719,003,167,564,375,284,476,658,329,044,388,682,567,334,356,
456,088,731,142,523,017,286,176,742,881,830,828,018,492,016,357,479,709,151,
420,484,889,636,036,225,443,799,354,391,915,379,279,914,598,186,584,294,546,
726,375,743,544,047,065,485,505,516,567,041,648,222,900,715,521,177,005,175,
522,147,120,098,356,216,640,804,339,317,225,671,345,096,671,120,412,528,928,
428,231,907,457,241,502,478,238,283,545,156,233,159,988,048,627,071,596,353,
917,492,384,190,586,049,583,494,237,584,332,501,275,955,182,598,716,403,222,
261,331,535,958,463,252,567,822,896,549,162,819,011,140,440,811,465,813,913,
543,210,566,734,362,952,119,392,526,148,687,233,644,215,453,331,195,432,518,
030,670,832,156,077,445,754,284,336,690,744,939,060,804,254,495,413,816,098,
563,814,243,301,631,948,300,461,395,771,750,535,232,339,961,921,033,751,810,
837,192,773,100,660,215,987,762,315,659,050,724,051,793,756,642,515,822,940,
344,717,373,902,832,052,695,135,447,085,094,266,826,187,472,955,203,511,280,
537,717,552,611,746,022,294,226,369,540,260,040,853,537,914,234,560,474,864,
384,243,992,967,457,106,261,831,536,852,402,351,487,976,952,605,256,807,035,
671,266,764,523,280,357,874,892,409,800,598,755,576,508,994,730,901,092,390,
293,415,834,358,272,125,069,565,027,624,914,795,320,703,750,507,444,498,841,
435,609,253,928,962,681,723,572,919,488,125,103,465,166,691,100,369,724,941,
020,897,590,904,714,200,250,580,129,100,010,067,158,575,006,640,431,778,025,
795,509,637,989,825,868,389,343,816,834,026,946,826,525,556,622,794,529,670,
494,985,449,264,136,392,142,981,249,922,701,016,012,182,410,686,841,985,724,
133,823,182,884,740,303,143,607,393,982,233,063,235,050,912,911,342,158,931,
081,991,119,648,586,101,515,754,206,416,421,513,915,788,478,202,800,299,094,
401,703,683,419,868,154,553,608,095,446,302,400,888,330,029,303,064,335,478,
139,411,296,995,423,677,068,147,554,949,929,206,064,164,097,727,772,825,690,
557,014,556,455,002,314,391,423,980,413,662,662,734,057,739,429,388,356,981,
283,476,103,152,804,832,639,820,656,422,737,242,124,043,154,961,518,694,145,
428,480,209,267,149,841,620,076,494,971,541,035,180,284,658,658,885,123,573,
059,566,691,748,563,014,165,012,064,474,422,431,131,388,318,322,608,867,626,
100,163,863,220,559,980,340,439,870,205,333,017,202,577,046,603,925,422,174,
298,130,318,311,251,833,482,426,750,756,703,561,130,883,932,773,364,099,189,
745,424,100,960,783,914,556,766,702,384,031,998,695,299,860,112,075,853,857,
151,612,173,509,565,059,166,486,001,255,895,265,073,314,845,789,794,907,570,
771,301,032,667,036,989,126,777,161,693,208,951,035,194,075,631,034,062,839,
885,117,582,326,214,506,669,342,882,723,421,150,869,516,362,203,882,591,195,
829,049,760,454,897,112,421,750,177,129,580,702,234,492,533,428,012,323,609,
914,404,411,222,746,258,549,101,957,905,383,565,515,753,002,579,057,715,522,
528,026,222,403,761,475,055,877,882,629,541,350,845,245,137,481,164,419,196,
432,694,909,520,207,031,985,464,779,787,754,412,817,814,334,903,290,386,105,
527,165,820,552,829,151,905,350,368,009,731,741,764,356,191,198,611,233,268,
385,926,250,429,746,451,940,698,278,233,654,108,205,045,577,140,115,630,523,
676,014,105,838,720,569,892,859,364,182,377,274,101,924,878,724,844,696,439,
440,913,650,924,575,412,534,265,209,789,756,826,015,071,871,445,238,753,253,
509,883,138,931,421,175,784,337,539,899,306,348,901,669,855,354,192,678,095,
978,193,951,492,604,247,435,623,520,658,829,290,188,508,103,696,532,204,137,
445,227,084,321,676,307,800,580,751,156,983,178,559,783,550,756,167,350,060,
461,633,664,138,637,515,394,278,835,547,014,635,517,622,554,764,638,499,076,
729,394,563,253,121,552,869,682,355,602,706,112,347,070,546,940,553,768,974,
337,566,940,978,365,061,644,939,166,699,654,982,993,460,601,299,258,710,840,
314,636,816,058,586,441,154,468,288,925,678,411,063,989,959,255,735,768,540,
880,676,219,852,517,409,554,643,260,341,216,420,075,585,290,035,795,960,854,
898,735,043,638,045,081,922,332,229,991,082,799,305,695,442,067,369,878,691,
120,346,145,697,145,627,989,374,003,830,193,557,211,966,350,476,440,996,367,
950,856,265,562,615,292,497,120,264,348,885,868,441,542,391,704,732,234,516,
188,162,951,421,472,181,308,223,350,180,827,152,332,382,728,909,955,125,883,
060,928,678,213,778,991,407,557,547,544,890,611,461,826,355,154,351,167,189,
494,386,485,916,987,588,778,999,079,582,289,534,252,508,844,007,588,174,464,
332,175,467,161,506,141,848,348,587,354,879,939,299,445,193,110,375,858,677,
737,029,559,779,393,902,951,757,795,597,413,397,212,642,385,633,375,514,324,
938,397,472,728,836,662,241,141,565,289,915,333,077,502,403,815,907,215,203,
175,412,987,117,363,889,942,434,832,218,112,081,104,725,685,952,533,386,256,
816,246,704,274,581,927,488,680,466,412,858,335,940,026,560,718,564,285,455,
546,877,677,546,822,013,316,992,867,008,922,814,959,472,968,897,576,540,478,
492,173,839,725,701,757,134,252,983,704,644,057,334,314,938,702,156,257,455,
153,597,991,393,272,414,328,905,299,793,928,605,459,792,331,082,428,328,147,
739,359,809,399,026,782,822,786,299,442,939,714,055,589,684,332,863,912,886,
753,886,554,541,954,258,812,501,723,087,980,905,393,729,815,472,383,968,080,
651,231,496,283,327,660,180,711,818,507,794,114,921,654,533,753,805,642,747,
617,522,469,356,062,670,935,219,218,246,373,940,109,722,244,021,613,744,858,
268,116,243,644,620,403,237,569,154,131,030,001,472,553,156,995,603,139,187,
130,364,924,840,152,811,653,492,043,533,293,503,295,731,179,210,579,553,387,
471,584,688,732,635,736,017,614,741,935,897,963,499,754,512,266,432,449,263,
033,987,285,962,814,859,744,924,537,932,161,547,627,875,726,142,383,383,756,
236,795,396,521,745,636,353,550,201,770,680,994,798,596,318,660,222,375,725,
998,152,723,551,447,305,185,078,929,081,945,070,661,346,787,212,844,854,596,
881,676,730,018,141,487,490,353,262,208,440,547,470,719,883,675,959,843,119,
243,795,510,666,726,079,757,828,465,952,690,359,197,162,133,854,900,369,687,
190,957,227,754,779,641,982,850,692,670,288,583,611,502,807,511,210,111,441,
744,160,932,955,107,161,737,871,855,777,045,093,604,536,659,171,249,848,825,
785,025,483,952,415,408,722,364,347,507,212,428,822,237,584,083,347,902,600,
933,847,613,744,566,178,111,510,692,258,584,032,613,703,997,671,802,134,193,
521,139,668,853,889,369,015,693,976,476,788,171,154,827,496,555,095,972,514,
837,712,682,782,381,086,377,384,234,409,626,985,021,119,787,397,646,282,059,
575,147,210,861,400,634,647,780,550,306,673,439,709,448,228,744,745,558,279,
698,416,032,237,282,492,968,006,594,226,450,561,359,373,483,123,288,483,885,
460,246,346,483,279,188,497,306,253,689,552,866,021,144,295,617,255,987,598,
137,321,379,624,598,070,211,960,885,187,919,557,065,253,668,612,506,698,882,
236,835,791,669,169,834,055,458,993,143,128,308,442,525,389,373,621,518,979,
796,449,858,492,539,752,145,032,036,973,044,938,054,635,623,730,317,266,750,
743,312,549,802,878,551,085,176,213,415,137,642,054,270,676,149,852,176,980,
327,464,115,684,296,223,620,302,883,978,255,254,623,127,489,425,349,837,349,
168,528,080,859,002,314,934,657,924,602,859,256,356,668,501,465,925,414,488,
332,111,800,103,590,511,974,580,867,670,452,805,106,609,250,045,838,795,826,
643,047,227,983,006,705,885,443,965,578,406,159,954,663,496,811,891,675,661,
849,489,023,823,006,166,188,733,535,879,827,517,276,189,096,897,455,223,863,
042,972,571,946,743,862,727,014,788,349,075,484,237,971,171,008,881,032,677,
367,391,836,322,222,612,275,225,148,105,099,538,091,810,158,693,356,135,964,
840,122,822,313,787,063,351,164,850,310,689,436,848,283,386,637,412,163,823,
705,793,318,798,992,569,545,731,518,619,476,341,569,222,323,191,538,624,236,
808,747,100,175,096,412,863,266,192,161,429,710,196,933,055,536,846,379,682,
619,684,061,354,269,947,750,925,235,755,576,866,297,432,723,281,801,255,094,
298,541,069,450,247,033,480,337,611,610,988,025,412,275,162,840,576,097,176,
127,055,570,748,726,681,596,351,999,971,892,729,068,728,996,210,695,709,594,
735,019,328,660,879,518,406,252,685,027,787,623,515,633,308,410,811,445,706,
364,488,724,182,505,799,468,178,995,744,639,295,175,925,248,260,892,838,795,
072,433,891,440,819,210,085,575,834,786,113,740,899,713,380,496,468,314,659,
544,076,861,723,108,486,081,101,078,580,778,181,137,991,977,285,270,660,882,
364,650,039,496,988,494,506,546,317,291,469,257,217,789,467,432,898,835,373,
962,639,777,235,293,365,354,085,836,461,180,887,109,264,076,381,532,765,788,
702,931,474,716,356,093,700,874,896,866,925,389,230,495,383,667,622,740,602,
343,710,979,951,608,731,489,098,539,666,812,697,869,250,787,931,753,200,637,
428,861,183,287,035,341,167,914,849,804,231,651,433,420,523,860,465,083,204,
998,416,714,150,917,875,234,270,738,195,942,106,048,646,024,927,877,625,128,
104,998,507,652,195,797,130,511,749,055,072,315,213,771,166,987,526,209,579,
767,524,429,812,664,818,942,893,954,956,347,876,005,835,216,493,225,574,441,
076,592,377,613,682,468,776,383,193,155,933,858,617,053,248,877,340,607,432,
006,863,338,847,074,248,091,052,422,768,598,313,709,030,602,407,329,708,691,
569,405,671,604,819,326,839,880,698,536,747,734,076,112,483,592,556,796,827,
420,274,420,525,541,065,275,724,305,897,920,770,188,780,264,456,892,221,103,
357,711,075,074,292,831,275,357,911,045,645,721,633,043,584,654,334,811,478,
477,231,836,889,694,112,958,006,025,484,195,745,148,729,483,187,938,452,516,
457,185,547,713,534,792,667,968,369,996,806,442,067,936,450,372,499,453,278,
650,410,759,991,671,234,857,370,409,818,180,961,990,826,919,546,849,160,859,
857,651,473,474,186,236,171,612,089,966,450,296,612,387,395,585,208,673,089,
354,908,436,096,258,197,131,563,910,859,166,890,992,278,222,739,825,412,519,
905,168,252,738,319,509,232,336,815,757,397,019,970,478,270,788,256,498,040,
294,800,520,201,129,924,387,444,632,091,422,275,742,125,376,369,813,042,861,
436,054,574,993,461,901,322,462,187,837,035,187,447,766,360,628,580,616,064,
562,760,921,605,274,249,842,859,897,995,220,013,697,953,897,199,993,274,344,
402,862,772,984,774,781,748,847,050,385,071,538,366,184,796,303,468,710,835,
385,380,601,477,632,535,669,413,656,087,989,051,765,604,504,359,929,953,910,
797,968,354,102,811,941,016,553,160,730,178,978,658,746,428,101,773,812,469,
526,881,607,682,067,422,237,592,045,819,072,508,374,298,219,110,133,607,668,
083,409,088,317,485,271,934,814,715,460,198,057,396,112,609,338,673,493,162,
242,867,242,863,159,897,381,027,253,312,533,769,194,134,224,258,431,749,643,
159,732,357,538,925,083,675,163,041,138,330,507,214,959,732,261,499,440,397,
557,205,951,678,405,640,851,657,215,898,293,571,545,253,899,961,186,284,647,
652,417,651,478,890,719,435,306,546,293,450,909,494,277,364,238,117,469,500,
232,704,450,392,213,520,480,152,945,533,353,619,526,349,089,539,497,670,333,
246,127,829,613,689,494,777,550,557,815,794,600,521,176,895,475,285,415,193,
479,620,449,665,613,066,062,331,362,777,497,447,262,082,620,083,694,948,031,
273,546,470,791,454,632,655,774,639,949,279,072,110,779,968,128,816,993,866,
993,899,510,568,235,227,023,817,033,986,222,551,025,798,853,361,460,187,115,
843,833,461,515,138,264,452,386,561,714,578,190,079,961,908,266,532,185,442,
888,389,555,587,087,972,766,442,677,533,097,045,745,132,559,135,155,564,450,
471,397,335,028,569,980,457,114,572,205,651,988,499,379,811,797,328,115,380,
782,747,875,184,426,386,227,826,736,938,960,389,982,600,405,747,415,911,876,
935,425,804,789,219,225,810,064,902,347,942,107,363,994,087,812,902,290,949,
102,519,679,133,702,851,078,270,476,583,558,447,241,283,432,425,746,310,951,
961,768,255,156,020,823,959,849,055,851,543,700,644,445,714,417,885,726,659,
062,850,914,280,600,041,386,602,115,095,425,547,472,676,424,327,201,140,205,
600,840,402,450,455,872,332,795,515,335,740,402,785,543,008,952,445,184,934,
806,644,326,181,174,491,665,821,632,031,891,992,811,472,302,105,300,022,141,
660,901,450,372,774,846,576,414,651,682,558,343,416,395,798,459,787,697,792,
012,083,207,382,417,364,211,299,621,185,121,842,630,306,997,577,623,956,686,
440,906,243,237,795,972,675,074,327,035,872,721,355,093,594,928,348,328,231,
787,048,686,014,570,376,459,597,487,818,098,309,589,733,062,110,255,583,900,
428,667,204,227,021,938,144,676,909,909,959,798,732,470,192,778,808,244,509,
904,222,100,696,131,284,700,480,399,910,743,396,690,177,110,933,533,938,193,
648,622,442,801,198,154,695,867,766,804,382,333,108,226,384,104,294,410,916,
010,551,644,104,123,623,030,105,080,489,148,224,464,025,960,130,212,045,480,
028,579,816,361,814,335,214,159,171,820,496,414,972,067,154,361,509,383,965,
261,574,644,426,117,253,714,554,680,292,793,145,342,819,994,952,462,204,811,
299,259,781,366,891,768,240,623,279,162,199,396,412,320,222,709,796,502,304,
457,744,776,156,998,576,977,152,917,275,403,696,573,377,882,519,098,896,264,
080,543,503,275,569,791,677,815,654,134,543,366,709,064,504,157,715,824,613,
729,628,420,502,063,398,356,859,199,686,672,316,382,987,103,405,330,674,608,
637,718,029,232,736,894,007,978,434,490,787,974,399,112,379,264,129,531,001,
202,325,065,909,680,918,138,881,340,590,089,093,266,663,497,540,490,021,520,
287,306,007,350,997,492,342,675,153,866,663,617,058,933,504,466,909,395,320,
288,830,766,827,728,207,314,846,253,049,171,467,045,877,578,636,073,194,574,
102,039,823,285,907,115,994,151,960,935,644,036,618,704,658,440,997,146,115,
913,206,544,740,356,751,185,774,282,673,857,949,278,806,625,474,472,089,400,
843,749,836,318,312,030,901,126,995,285,770,117,254,008,493,907,852,097,007,
249,868,459,685,546,262,849,782,573,981,866,516,281,969,220,711,481,395,314,
615,498,830,945,402,052,191,852,399,331,854,834,900,299,879,373,104,361,149,
010,537,950,111,413,925,037,782,254,032,021,493,402,195,203,989,027,482,507,
427,968,700,517,198,826,338,805,115,048,061,563,270,218,333,436,435,653,078,
811,215,066,981,476,244,459,287,627,054,275,617,451,269,616,709,935,627,102,
523,208,165,381,040,026,809,963,664,495,194,818,545,499,800,190,387,372,529,
025,746,811,255,198,898,218,410,952,946,876,735,080,395,561,653,931,559,600,
360,101,478,855,734,415,617,141,985,430,428,186,731,091,585,239,364,444,440,
974,562,205,476,322,836,151,469,297,221,107,518,478,650,599,963,952,903,696,
863,579,490,204,832,724,919,550,258,948,977,140,869,055,167,458,985,679,739,
979,525,481,986,566,292,774,149,816,678,944,089,965,250,415,447,178,292,326,
125,119,487,571,830,518,483,747,152,301,263,048,377,062,841,625,086,917,765,
267,035,025,195,893,457,103,564,033,927,400,642,737,888,812,085,559,712,187,
870,290,020,862,319,679,846,009,938,310,661,423,290,842,698,423,306,136,669,
133,873,292,376,413,414,211,107,003,106,821,564,840,888,797,383,326,317,802,
141,708,869,521,607,716,531,404,421,532,460,738,683,274,802,858,253,588,844,
791,483,145,742,602,589,373,883,920,178,000,498,434,335,969,351,514,113,684,
713,649,042,676,982,640,950,328,573,161,389,710,044,762,192,507,337,407,222,
361,991,221,218,315,149,676,704,891,136,369,033,268,140,642,030,329,879,822,
508,990,191,561,312,716,115,189,337,609,512,085,940,902,335,679,675,140,123,
775,530,389,946,047,063,264,553,035,117,447,354,425,994,215,701,527,365,737,
812,629,531,695,954,450,743,326,517,775,545,959,784,605,779,156,997,646,418,
515,296,838,156,203,051,959,272,176,483,990,741,192,136,799,486,959,841,914,
291,161,367,999,649,316,035,547,173,175,390,913,269,856,857,810,169,525,988,
112,001,884,494,015,711,723,191,823,658,708,690,017,050,525,254,092,591,964,
612,450,704,675,025,699,948,326,102,710,221,448,795,279,683,472,096,605,297,
389,313,801,243,253,717,300,530,613,960,322,454,982,482,099,165,568,057,919,
824,343,832,714,892,877,842,327,764,123,690,191,689,865,964,239,025,452,570,
577,702,898,277,756,608,475,230,697,860,175,913,769,539,849,622,706,444,857,
776,582,272,437,414,582,993,978,392,190,589,124,978,983,563,677,309,297,675,
352,024,445,061,927,743,478,074,053,678,834,818,100,008,787,986,631,999,761,
771,185,702,543,258,425,935,269,355,483,154,551,112,098,455,212,168,260,897,
537,540,917,888,395,216,951,224,349,467,652,545,254,537,020,739,926,209,848,
387,706,297,031,634,634,179,737,431,157,864,953,841,004,237,345,885,346,595,
217,826,651,707,664,152,939,911,166,997,503,620,950,758,753,066,376,976,594,
650,292,939,641,631,090,905,750,364,199,183,677,387,274,367,257,638,771,403,
023,227,112,629,675,316,759,602,559,180,250,224,414,694,246,140,523,726,222,
040,936,263,034,578,706,688,642,200,476,097,786,970,547,790,290,022,732,658,
252,913,850,006,293,802,332,172,290,900,329,064,134,721,988,596,729,101,892,
304,562,093,783,292,375,352,179,804,702,243,252,380,676,924,250,916,458,573,
697,941,192,605,322,513,054,812,197,900,790,657,149,369,445,066,373,283,787,
682,972,638,998,056,202,825,087,174,155,763,116,099,825,356,406,012,584,575,
723,987,899,989,970,598,963,389,565,752,672,269,592,074,382,329,658,222,542,
926,909,990,463,707,532,599,571,838,313,671,534,457,586,527,041,603,301,242,
575,342,855,373,535,926,976,655,055,781,107,294,114,055,466,462,915,564,167,
105,969,057,925,939,836,210,488,365,469,674,421,780,089,501,168,872,606,014,
270,600,013,984,885,903,967,357,271,690,573,824,511,040,966,160,568,803,876,
279,542,889,022,566,928,946,361,644,058,349,578,169,405,768,180,563,787,967,
873,137,998,838,594,370,700,165,080,179,738,062,300,547,351,114,812,477,918,
049,186,948,923,919,742,993,268,677,099,153,759,302,118,215,125,178,117,999,
323,666,387,147,451,407,105,086,355,442,629,536,013,425,803,138,704,020,655,
944,956,845,457,892,273,755,547,326,293,608,220,508,480,645,229,297,629,278,
142,427,324,087,608,328,065,499,262,538,999,574,417,797,029,326,883,602,512,
611,927,660,128,965,322,567,082,953,629,514,676,058,993,328,208,683,828,883,
827,049,842,948,120,342,254,090,502,492,008,821,101,992,821,578,020,043,826,
945,220,327,935,997,486,387,255,783,622,733,058,023,302,052,448,752,900,125,
725,186,157,405,726,327,743,297,058,223,412,860,009,778,573,389,645,082,036,
153,317,729,670,929,609,123,929,511,516,426,145,600,896,059,548,709,731,183,
787,185,750,240,794,345,748,628,136,088,450,737,719,655,771,946,271,202,881,
803,907,428,326,439,554,087,576,258,553,902,984,238,520,669,457,887,811,596,
270,748,246,889,606,753,498,004,878,934,146,929,265,850,478,673,417,677,550,
277,358,842,183,444,203,175,124,599,657,901,947,250,243,595,450,754,753,743,
992,774,745,845,400,185,241,412,211,823,461,661,000,398,343,989,301,095,525,
482,582,637,875,281,786,212,865,894,622,189,367,011,988,965,252,175,799,518,
177,266,469,141,298,524,675,927,223,658,060,954,998,607,466,853,772,122,482,
434,332,585,719,002,522,693,042,008,553,494,633,009,222,698,836,102,647,583,
941,309,088,778,949,009,919,435,393,230,503,342,097,720,456,594,199,732,092,
862,600,119,445,483,486,565,829,305,364,244,431,506,037,250,616,607,345,539,
447,437,220,891,365,526,044,381,798,594,231,434,731,149,356,208,886,320,642,
756,871,947,915,113,629,878,327,950,256,132,798,324,941,120,656,237,840,864,
646,482,697,959,983,825,128,161,478,135,856,640,399,299,890,014,247,394,588,
657,309,182,311,469,678,676,579,695,922,301,913,278,640,988,039,252,820,380,
595,929,200,033,375,523,487,123,947,691,538,503,084,493,501,188,884,852,312,
678,681,884,564,764,961,476,446,038,941,171,676,217,198,036,599,631,140,203,
391,835,751,073,287,631,866,505,602,003,573,887,199,172,030,835,508,717,006,
832,143,515,304,288,583,132,331,406,615,259,652,200,274,423,807,238,537,610,
676,092,748,383,032,197,913,264,231,370,843,806,562,261,100,289,332,855,460,
592,668,143,085,169,733,989,598,592,359,770,467,149,317,461,473,725,515,692,
655,962,136,730,326,999,485,159,575,586,324,755,453,448,259,559,340,927,446,
913,368,042,606,683,321,848,526,858,119,710,555,675,827,256,963,141,994,744,
851,158,930,084,948,228,621,500,270,506,515,579,401,552,453,977,965,679,522,
518,485,457,713,807,842,816,906,125,750,078,576,917,150,265,118,778,144,746,
964,310,945,589,851,394,711,232,058,687,163,613,813,700,481,633,696,480,070,
814,059,826,170,757,255,086,162,402,588,424,321,840,248,681,899,066,014,901,
215,626,396,121,140,860,375,326,993,496,715,833,080,856,949,009,851,088,049,
071,458,167,686,974,489,177,573,651,634,941,843,805,801,927,209,089,707,071,
347,065,470,823,015,717,111,131,987,287,388,793,671,285,794,240,600,364,079,
056,551,476,330,622,086,909,832,927,893,423,879,566,526,141,495,697,198,548,
508,458,754,131,706,186,394,987,905,842,039,131,286,137,776,480,033,858,529,
817,441,929,710,226,187,690,394,081,135,445,850,354,747,953,468,692,879,612,
404,337,920,511,447,105,162,659,744,103,394,635,495,055,349,451,390,405,513,
298,902,598,397,482,739,974,740,409,485,175,041,305,557,946,763,738,907,230,
549,130,760,104,335,625,480,834,867,728,731,899,757,202,436,201,091,704,598,
624,998,778,644,209,219,258,400,030,330,990,983,016,175,591,126,679,494,885,
062,939,542,998,302,246,914,783,631,806,042,291,970,967,968,588,182,788,746,
857,152,102,040,540,831,155,139,057,165,823,017,300,248,088,650,913,565,346,
018,214,945,427,268,986,749,250,364,539,211,067,811,488,985,973,133,022,614,
500,327,325,152,971,688,715,043,597,614,824,159,965,386,456,412,108,221,096,
818,970,650,327,265,438,406,826,365,852,371,253,495,778,471,931,034,361,149,
241,978,662,012,911,294,831,704,838,587,464,548,598,731,115,268,840,132,430,
033,036,414,262,859,218,861,155,730,244,733,489,748,156,846,881,206,932,301,
210,171,638,095,190,865,290,129,776,053,896,876,161,939,649,736,266,199,953,
195,419,874,567,749,991,626,656,335,727,445,275,414,368,110,426,740,500,974,
127,686,285,923,957,631,057,692,583,274,729,229,191,301,491,102,517,609,683,
182,511,571,387,359,231,460,710,644,769,083,200,811,915,134,741,005,178,850,
607,541,562,208,572,446,085,725,882,017,954,450,299,737,527,259,652,822,501,
979,947,909,140,147,932,763,103,235,037,843,912,264,124,608,906,485,483,657,
649,581,814,322,240,064,323,852,124,685,830,355,744,534,512,574,843,240,666,
221,552,401,814,493,318,502,345,871,409,869,422,222,338,819,820,307,699,115,
816,765,275,012,820,328,316,830,814,432,511,991,822,912,470,976,169,323,245,
148,516,417,289,025,237,265,924,891,521,202,608,344,453,944,518,342,188,011,
546,007,292,317,015,236,619,703,605,112,348,159,202,600,952,404,531,880,466,
991,009,018,298,508,201,756,792,436,921,736,303,241,461,956,598,586,893,247,
774,014,432,080,000,982,640,040,473,764,866,169,339,484,694,193,187,265,769,
924,313,029,039,486,605,425,735,824,095,439,790,846,672,546,688,374,607,543,
924,344,647,063,383,321,345,447,129,403,532,721,098,544,148,044,151,651,068,
672,488,189,030,027,096,727,302,059,929,478,971,737,737,527,241,537,171,332,
969,236,835,416,848,248,095,616,333,965,710,395,001,673,084,349,126,773,519,
253,618,525,506,106,579,742,848,048,610,808,623,339,325,857,025,405,573,872,
815,416,667,773,426,787,349,891,265,076,499,229,216,306,349,139,925,069,192,
298,229,758,571,159,061,250,458,053,349,620,459,005,698,858,895,686,614,307,
368,930,934,481,551,796,986,655,444,283,731,248,033,788,758,400,019,499,827,
877,075,947,829,216,474,812,488,753,032,413,614,452,300,142,376,535,192,818,
635,487,202,603,857,122,116,489,032,669,424,799,567,784,774,477,623,593,990,
093,888,157,877,116,354,266,437,964,360,171,564,989,008,159,749,890,696,171,
231,459,368,107,568,954,062,809,720,160,225,963,804,919,264,595,095,161,037,
019,890,940,109,814,625,169,544,755,328,528,606,862,013,467,118,981,830,867,
993,537,063,464,661,785,690,466,127,543,678,743,074,572,508,033,484,040,770,
192,821,719,417,588,467,396,730,800,400,906,128,157,954,373,535,582,572,411,
242,988,153,858,386,483,856,610,963,219,658,293,405,545,958,013,174,644,709,
641,135,263,776,974,542,245,943,136,385,093,854,726,809,261,673,648,041,460,
392,946,780,993,328,021,593,375,681,098,847,168,809,942,689,145,402,209,186,
754,485,540,934,780,142,848,929,705,075,326,161,615,521,789,318,765,738,096,
629,198,887,713,003,374,615,936,488,720,332,626,257,740,634,719,289,269,251,
691,173,392,554,135,800,036,240,932,127,771,939,739,471,314,848,062,989,751,
283,220,097,604,767,304,261,043,367,017,533,157,355,970,713,291,718,830,048,
334,230,390,563,087,141,717,133,963,922,073,170,462,069,928,616,615,535,335,
634,245,930,564,850,973,771,387,591,642,752,149,547,892,178,905,690,435,224,
098,552,889,055,974,488,035,401,891,080,052,173,788,459,831,107,583,183,987,
143,374,765,847,559,345,604,772,881,991,793,699,628,675,247,615,443,382,089,
414,451,104,089,960,487,783,487,185,633,758,413,616,232,845,574,736,149,979,
354,576,020,973,133,517,410,608,186,735,490,891,720,087,831,027,900,559,596,
348,169,941,025,640,496,074,008,060,499,461,705,167,544,704,181,385,049,579,
897,511,112,312,303,274,712,857,852,599,433,293,787,870,449,870,355,833,007,
191,655,390,878,542,101,637,137,542,090,348,591,648,749,556,400,383,483,968,
111,077,290,205,849,031,805,821,173,595,161,473,410,525,347,651,080,613,783,
026,839,727,193,199,179,621,138,018,295,658,226,895,901,833,338,602,146,758,
057,619,117,907,362,172,079,622,003,014,066,322,175,122,200,184,011,676,922,
963,955,952,598,403,023,189,957,742,359,260,129,152,698,455,486,453,140,535,
148,485,430,650,960,042,938,138,679,720,186,419,298,908,894,285,259,038,818,
476,092,048,419,510,157,926,859,701,867,523,020,945,713,873,447,023,804,652,
278,547,106,250,306,054,799,617,802,966,825,044,748,916,944,150,197,436,810,
382,293,758,236,562,495,306,190,565,872,084,920,991,311,279,885,804,622,230,
729,224,405,104,461,247,943,340,642,401,943,649,107,219,345,508,637,511,985,
754,461,493,522,734,482,320,933,590,789,036,213,062,543,794,813,774,849,601,
010,807,410,905,587,486,705,163,294,889,972,902,249,810,963,823,078,224,265,
437,928,019,228,745,684,092,965,109,845,515,292,759,358,660,031,098,862,327,
622,844,162,991,404,970,367,807,067,788,484,001,881,532,370,628,319,646,857,
155,248,085,879,505,609,773,747,257,030,507,406,942,454,128,355,480,919,795,
091,611,691,172,543,362,760,421,599,081,904,858,518,006,331,137,577,721,196,
947,318,504,479,951,231,745,127,344,858,499,508,461,555,885,364,630,768,948,
264,333,311,908,658,682,889,216,384,779,113,061,206,448,478,294,116,377,775,
938,465,421,940,561,213,271,541,767,558,495,117,086,643,566,007,046,282,082,
489,741,080,350,464,622,372,501,519,305,187,160,943,252,348,439,820,214,287,
931,169,179,904,065,822,355,931,458,504,113,635,948,975,320,100,213,659,772,
753,220,913,585,549,380,253,276,713,147,389,526,776,604,597,253,718,278,915,
900,126,107,687,180,885,357,381,787,958,488,838,314,882,963,943,619,547,060,
209,241,139,300,112,773,045,784,689,998,434,138,399,463,324,134,385,244,642,
132,206,063,359,761,649,357,107,406,625,590,880,281,451,338,424,998,479,759,
474,939,132,164,948,425,291,098,681,012,816,092,528,023,620,105,482,319,086,
337,319,841,860,941,332,108,749,432,601,495,746,872,367,312,891,271,089,146,
102,788,798,887,890,771,760,488,473,511,957,407,357,197,292,012,069,314,055,
151,705,155,295,763,290,465,521,163,782,030,541,419,050,370,286,685,357,883,
091,306,740,093,221,325,282,592,516,028,118,820,219,178,553,572,463,116,873,
563,934,689,194,063,956,803,562,214,971,125,794,977,270,772,612,133,326,505,
869,355,260,931,089,528,892,996,334,194,544,063,910,814,542,406,280,392,759,
745,261,714,938,635,299,436,731,028,463,334,549,859,988,183,930,736,374,769,
892,014,583,237,409,804,311,218,492,971,602,168,514,805,399,444,056,343,915,
094,443,233,133,056,632,215,719,629,089,640,051,068,371,564,977,597,165,722,
904,996,091,369,294,512,232,146,014,122,743,311,926,163,325,372,054,194,313,
131,138,055,177,370,085,222,278,000,798,373,395,915,393,381,235,501,576,778,
086,679,414,678,690,440,648,877,598,667,626,555,987,665,076,145,868,062,127,
457,122,008,308,421,666,347,908,360,931,459,627,950,998,773,645,716,055,897,
463,776,288,811,707,049,913,015,438,549,754,019,841,408,290,373,215,469,130,
044,486,170,876,402,487,933,999,072,882,849,027,159,033,189,389,642,784,497,
065,125,278,924,613,945,374,570,891,792,312,560,452,171,639,981,331,629,832,
255,272,238,221,932,977,800,209,415,990,865,324,572,287,137,005,505,223,894,
380,708,420,019,930,296,689,869,595,728,876,722,092,140,583,119,350,333,010,
157,181,752,483,606,248,918,815,297,640,388,404,398,440,155,016,305,578,724,
843,031,975,839,866,904,681,968,684,095,849,274,855,836,027,564,730,841,694,
244,810,155,978,086,512,166,496,190,686,123,130,761,575,575,285,821,642,838,
822,974,781,385,852,072,906,948,731,979,395,671,925,694,449,346,097,875,544,
535,205,311,496,640,696,070,626,247,905,799,790,790,790,986,260,613,127,562,
468,771,626,399,453,304,018,433,925,012,951,494,977,578,276,599,822,044,754,
104,644,965,965,988,323,930,967,691,133,070,610,542,542,179,623,293,688,950,
507,708,604,509,118,506,907,702,583,411,015,707,420,516,985,503,981,747,022,
926,454,260,266,904,106,205,797,020,011,200,100,141,414,978,063,818,659,523,
212,336,869,129,303,360,767,501,186,701,474,783,610,755,411,405,113,506,928,
223,095,920,274,995,868,734,521,098,501,398,176,280,991,013,840,796,331,887,
855,769,297,745,885,549,108,665,523,788,850,616,740,913,777,898,213,893,318,
745,200,165,343,708,372,243,845,094,594,329,803,478,445,055,700,584,319,604,
932,216,400,201,616,987,427,390,228,559,831,150,735,355,471,402,054,785,267,
797,604,189,561,835,589,016,005,353,312,877,980,805,025,986,600,392,859,279,
513,853,363,743,458,079,294,981,706,127,226,580,442,031,097,947,551,966,133,
734,694,015,337,176,047,628,860,033,863,912,722,566,703,959,376,392,656,224,
548,891,304,634,688,355,381,231,865,697,454,893,595,129,249,437,882,586,266,
074,795,206,833,447,164,426,962,018,088,213,733,659,165,282,967,062,103,004,
678,441,040,175,837,327,469,981,139,279,794,016,031,832,101,473,639,415,950,
435,258,493,173,056,368,379,720,401,901,339,907,498,203,057,270,028,873,279,
805,818,294,149,956,376,141,190,934,132,658,749,992,601,790,693,922,980,116,
645,569,829,760,355,103,978,021,389,165,087,416,721,412,185,089,435,859,655,
301,609,540,292,783,478,596,212,392,667,615,585,107,104,809,222,838,777,718,
627,935,162,884,798,084,262,089,697,367,705,549,346,024,275,056,802,370,390,
882,890,356,071,127,439,653,968,542,725,071,429,521,158,571,587,977,218,548,
285,875,933,824,750,463,957,923,773,757,432,013,135,059,932,415,951,334,659,
443,061,374,711,715,356,490,131,647,302,940,365,453,390,628,828,582,504,026,
466,910,471,083,454,156,427,914,793,714,965,850,447,213,368,442,509,180,407,
818,087,172,791,403,593,626,626,933,612,997,089,839,669,163,169,424,760,376,
253,848,487,721,482,160,666,179,585,008,876,652,884,535,872,231,294,273,850,
527,740,289,456,536,326,220,205,793,874,277,323,440,313,626,687,577,279,265,
721,725,524,165,289,139,925,676,699,393,388,215,865,165,521,032,653,895,211,
508,253,234,834,682,893,827,420,960,278,762,321,510,179,620,148,842,179,173,
302,396,963,899,773,029,366,624,377,117,763,825,006,785,757,289,043,591,741,
880,519,677,189,121,747,681,961,538,991,208,559,148,679,664,280,903,378,677,
827,802,909,202,869,282,813,888,560,111,307,381,549,522,147,307,276,816,282,
226,285,357,609,728,779,696,016,092,861,060,321,156,715,694,095,348,755,620,
509,377,876,293,601,178,747,977,782,088,005,620,952,077,457,879,175,833,085,
776,052,757,856,003,562,120,521,306,815,365,432,850,008,868,894,904,530,498,
520,671,471,036,238,779,497,350,762,100,815,107,304,185,975,444,265,168,278,
686,275,094,697,870,990,433,618,696,518,355,242,461,284,445,239,600,198,800,
782,596,625,319,513,487,111,127,527,333,914,823,446,116,956,742,209,523,432,
319,510,282,426,293,079,536,570,144,278,326,292,435,611,515,636,530,017,694,
511,291,267,647,833,153,791,087,840,753,685,293,224,858,236,316,464,718,891,
716,362,859,799,592,617,609,533,338,133,795,350,067,515,937,181,783,463,289,
005,947,933,784,808,460,682,655,204,148,520,115,651,399,293,156,604,678,557,
734,383,628,842,218,439,596,437,990,047,098,231,955,493,416,526,290,424,895,
190,441,130,882,917,702,841,317,724,856,183,070,982,774,878,758,016,290,421,
505,256,608,476,524,526,046,446,192,484,412,295,224,776,231,088,571,711,970,
843,052,765,000,131,552,278,558,839,214,410,218,826,380,655,421,496,386,026,
226,327,141,534,799,271,119,014,870,178,248,592,704,211,248,852,475,763,062,
229,209,500,370,446,288,476,287,434,726,124,021,427,891,232,884,313,699,676,
332,741,046,449,545,631,233,409,061,875,101,545,602,912,627,646,473,659,447,
368,715,559,215,015,958,084,327,153,131,596,078,561,227,718,594,239,827,424,
495,305,447,458,821,314,739,568,651,088,448,242,142,796,603,831,314,947,538,
680,799,850,658,171,071,321,986,716,402,399,450,940,033,827,169,690,486,865,
698,293,738,757,763,916,966,058,475,273,473,326,598,162,438,885,914,373,788,
286,667,985,147,454,825,980,067,443,228,551,944,503,960,984,102,260,280,084,
312,041,133,139,624,897,065,337,799,734,617,868,862,518,159,017,797,332,740,
962,934,002,380,345,012,007,748,638,830,773,886,484,025,731,962,701,522,162,
436,745,054,059,917,844,466,204,945,439,849,277,923,434,488,881,349,904,977,
931,764,954,405,799,951,540,284,998,581,385,698,053,396,406,678,142,578,592,
527,542,789,934,695,866,280,705,920,990,154,984,487,356,857,365,823,787,678,
856,661,451,003,257,263,043,811,942,280,388,832,496,441,720,088,312,612,821,
664,227,205,594,298,314,123,884,537,718,071,576,208,705,475,197,107,261,035,
014,238,976,083,587,339,398,381,163,207,366,304,626,978,489,969,130,160,775,
856,096,509,647,381,809,073,048,729,395,916,491,880,364,636,864,408,338,331,
386,721,758,575,313,260,141,861,544,681,207,982,030,626,454,802,198,272,603,
061,641,659,039,763,548,367,219,625,722,216,860,652,800,087,437,572,946,697,
102,335,385,311,457,479,900,089,783,369,289,885,972,963,077,112,451,755,167,
095,317,727,993,955,118,130,000,566,136,498,443,135,491,651,346,262,735,697,
481,831,641,712,269,238,006,351,935,559,024,440,638,369,566,036,285,847,342,
245,699,274,861,214,382,801,478,407,147,374,270,112,684,782,711,344,812,634,
709,006,335,265,927,720,802,771,111,470,993,649,037,027,750,674,142,475,764,
882,185,112,825,242,362,431,188,716,939,727,128,700,049,280,010,529,682,016,
098,299,310,590,536,214,709,176,319,789,045,840,260,980,814,331,908,599,794,
859,130,143,838,022,889,230,035,309,410,698,658,610,131,567,072,199,938,975,
122,519,226,785,349,397,392,505,376,004,981,557,363,260,167,785,373,363,510,
315,407,354,237,755,603,282,037,062,570,647,292,882,352,873,412,928,433,724,
187,518,062,531,429,686,664,221,612,392,668,553,859,859,381,651,429,302,660,
322,983,044,661,828,984,275,522,712,186,329,826,884,680,270,401,293,559,206,
650,872,753,375,601,344,212,330,798,448,851,896,062,056,491,678,222,308,290,
438,266,772,056,272,414,797,163,101,942,589,796,401,620,018,535,989,807,842,
848,125,867,099,942,434,351,550,275,468,495,566,115,324,075,741,903,793,705,
252,023,094,890,865,851,209,657,994,479,548,163,469,310,461,186,998,835,034,
531,208,675,230,441,774,128,716,785,588,836,094,635,304,346,464,755,334,450,
678,630,114,298,292,242,067,355,145,452,403,254,586,585,281,844,324,863,464,
752,371,185,523,006,044,817,668,502,726,669,236,167,471,696,557,393,544,713,
573,791,462,386,177,976,712,904,210,240,380,762,691,214,319,218,382,168,251,
833,178,370,964,198,521,925,667,062,313,431,185,939,290,383,471,330,024,540,
158,062,875,342,511,618,015,161,790,300,982,654,408,070,865,777,255,208,980,
457,789,830,527,859,958,003,363,402,622,749,948,454,123,445,487,694,954,357,
236,450,107,658,820,769,155,419,934,674,338,525,968,143,279,583,701,017,940,
091,026,493,100,806,828,287,886,426,506,643,082,982,735,380,798,543,743,706,
508,983,299,000,058,560,394,037,882,769,170,508,794,430,570,087,073,002,290,
477,045,789,307,390,938,480,595,957,044,897,220,457,393,334,132,581,436,628,
966,501,026,195,962,466,167,533,833,157,642,336,620,840,020,959,862,671,608,
527,276,593,018,294,853,371,886,832,594,885,558,680,524,684,396,741,961,395,
411,015,038,241,716,556,419,815,387,477,794,148,219,684,604,911,750,819,763,
481,908,154,388,306,854,708,849,850,712,682,886,090,995,282,053,322,698,189,
126,449,229,021,604,741,794,240,570,519,494,973,721,564,475,269,308,807,318,
443,956,210,244,698,537,705,172,060,628,949,256,755,904,551,579,124,643,146,
072,636,182,678,347,332,142,236,591,105,301,815,118,816,734,431,936,461,096,
847,483,356,591,819,783,430,914,310,952,638,822,841,838,463,764,834,922,831,
759,429,469,032,849,133,213,020,519,173,465,838,005,369,028,021,490,383,675,
180,844,132,145,984,674,150,104,172,407,205,345,410,567,912,513,648,178,812,
475,360,788,478,418,442,553,787,891,361,368,927,564,525,512,918,260,847,835,
719,908,896,221,319,735,921,998,654,004,198,594,243,539,451,217,605,107,796,
070,600,009,155,884,435,733,822,031,251,845,219,788,701,607,235,890,839,003,
241,361,642,617,995,197,502,586,870,508,376,748,988,839,395,874,116,538,145,
053,911,106,626,159,403,542,098,934,988,166,062,690,385,491,201,424,298,923,
001,138,036,999,052,244,671,880,453,622,878,853,273,581,085,870,352,022,037,
071,575,575,730,773,564,464,484,096,346,532,881,508,207,261,124,971,453,378,
883,727,341,957,238,850,237,186,939,040,872,610,932,016,998,126,998,540,870,
090,632,599,660,624,338,957,486,346,574,798,157,627,370,387,695,417,283,370,
566,448,295,116,521,282,949,565,781,350,810,079,967,370,412,691,924,794,308,
072,310,136,754,156,218,038,490,474,918,784,668,613,787,060,488,525,582,302,
326,731,418,933,953,717,232,137,286,786,701,480,120,438,065,733,604,042,748,
315,029,653,887,326,108,197,501,488,339,441,517,145,109,739,534,836,326,178,
095,685,105,532,126,919,452,252,901,859,468,592,560,818,687,874,685,823,031,
845,673,344,935,869,307,827,163,072,582,914,117,650,239,441,513,569,288,424,
018,468,702,027,784,872,010,582,491,140,753,345,904,293,453,027,158,491,970,
661,177,393,387,989,174,814,970,421,303,042,654,544,790,874,597,461,620,308,
666,323,299,120,114,397,362,350,050,040,611,461,634,431,549,813,408,182,533,
092,230,755,921,020,014,720,430,168,523,513,028,313,559,944,156,077,205,593,
944,556,924,862,906,591,832,643,299,935,032,276,155,410,651,135,029,544,714,
421,742,230,495,587,705,998,231,411,810,970,852,940,414,607,254,893,987,076,
928,068,410,877,123,430,438,064,156,836,832,721,175,435,826,080,859,067,849,
206,995,116,646,157,910,314,511,583,694,770,213,185,479,257,420,284,527,221,
322,578,873,720,885,777,844,336,648,292,631,578,367,801,113,096,982,960,418,
770,317,469,607,349,889,087,320,923,946,666,268,299,885,190,370,073,260,674,
149,869,411,113,388,226,044,307,667,082,962,513,788,493,653,055,710,706,679,
955,703,047,661,668,549,250,960,513,933,198,156,179,559,371,633,385,169,419,
621,038,769,333,906,621,221,158,260,422,644,267,229,300,769,639,859,641,256,
600,484,258,468,999,934,495,581,749,679,478,143,805,809,544,288,781,314,235,
284,059,410,410,273,345,272,266,456,242,083,363,336,413,362,406,691,384,161,
318,790,585,139,747,279,196,040,733,270,295,453,832,963,298,024,322,378,825,
977,781,300,942,332,655,238,043,424,427,116,080,073,419,168,854,440,422,377,
302,395,247,119,366,332,574,348,222,388,488,893,884,426,701,984,388,732,615,
029,058,016,769,074,270,339,841,479,929,751,495,482,966,435,507,270,930,509,
613,063,891,908,005,935,382,206,562,357,005,704,541,293,912,665,896,976,343,
605,912,286,053,694,377,498,007,368,177,013,943,966,867,558,956,351,053,757,
808,761,913,614,870,511,532,017,943,676,519,166,383,680,973,691,362,212,664,
920,881,664,469,867,217,798,908,311,963,308,802,385,953,183,981,507,941,447,
847,802,886,130,899,220,346,868,925,044,211,794,755,246,810,140,540,978,840,
384,011,461,857,918,878,782,758,090,370,480,270,568,163,279,372,424,351,241,
118,596,891,122,446,695,958,687,748,624,856,541,383,574,682,439,779,377,521,
444,847,354,103,936,441,065,120,916,583,456,512,663,139,063,603,566,847,289,
838,935,286,232,379,632,301,421,029,189,616,257,991,778,426,461,227,139,073,
909,526,402,050,258,897,260,278,235,432,797,939,852,181,881,930,385,406,991,
732,727,048,908,296,848,216,134,641,013,802,568,535,601,272,947,180,827,614,
704,197,235,964,274,265,017,714,035,223,776,093,164,227,072,495,095,252,312,
360,662,945,225,638,279,738,522,055,439,133,886,639,721,587,038,303,046,005,
588,869,608,885,962,064,431,916,346,584,787,344,054,748,891,844,670,708,621,
825,856,633,254,234,648,505,027,580,833,591,773,130,866,347,284,704,070,996,
839,379,431,281,730,018,179,170,254,469,997,841,601,804,992,303,148,471,595,
460,870,391,718,370,005,586,051,627,990,577,905,434,492,457,328,383,753,706,
061,701,109,673,444,130,471,048,393,310,319,299,963,632,506,702,486,472,714,
559,791,854,936,797,728,403,894,914,321,244,642,282,559,444,054,713,719,784,
751,223,709,674,122,797,665,534,462,832,404,693,689,576,819,956,825,845,021,
469,197,271,877,180,045,793,471,296,298,753,790,301,243,090,936,798,141,580,
516,078,087,539,745,900,047,865,985,115,747,764,205,668,303,563,120,522,663,
335,565,804,523,803,639,375,747,387,561,860,519,393,276,013,041,554,242,152,
648,720,406,536,591,977,095,570,151,063,134,486,091,640,872,911,318,859,396,
361,416,784,129,981,708,646,762,085,431,048,191,910,233,027,600,635,708,989,
100,592,551,770,816,276,840,850,758,503,070,412,263,129,921,956,335,839,581,
887,203,086,296,160,371,323,772,391,013,156,112,089,875,844,432,627,183,941,
871,635,864,418,043,069,571,293,175,687,941,248,716,961,263,831,989,661,727,
238,275,005,425,748,852,305,880,576,340,277,369,578,711,863,517,675,734,421,
712,304,557,931,547,750,566,423,754,312,284,543,204,101,556,760,225,055,714,
996,641,808,640,020,344,956,827,473,340,989,024,138,612,719,552,881,379,581,
680,159,393,702,963,575,042,442,532,794,866,778,329,944,306,492,974,899,069,
699,231,963,608,173,852,490,663,643,238,767,669,469,039,422,194,295,973,830,
173,215,955,073,714,756,827,741,908,312,406,998,783,306,502,754,491,488,518,
407,820,924,039,639,216,386,809,813,544,358,291,370,310,498,765,290,154,144,
029,433,348,456,811,111,433,208,583,605,493,156,520,181,119,457,118,414,864,
690,900,209,745,131,253,211,993,254,775,012,103,733,279,988,535,069,523,352,
520,552,457,986,312,289,281,583,150,914,804,212,683,280,601,550,279,292,151,
905,710,734,115,082,796,968,816,684,638,395,073,443,052,911,393,146,936,192,
424,229,530,373,125,220,403,107,345,539,339,347,277,047,494,545,124,656,119,
112,678,583,813,472,297,781,070,965,155,035,216,948,722,810,879,246,605,380,
986,706,460,723,478,681,649,376,600,481,603,333,619,329,188,277,154,290,570,
916,971,043,947,739,402,956,851,553,347,603,453,416,138,994,326,628,191,958,
657,013,501,220,484,267,152,230,713,559,543,981,342,718,977,139,606,544,489,
199,902,743,630,847,060,904,325,460,625,981,220,715,216,880,372,371,162,909,
583,461,681,384,459,635,627,132,887,272,323,908,143,119,585,621,059,354,201,
199,161,477,089,117,309,646,345,452,902,130,299,037,539,205,160,629,231,757,
107,346,632,073,047,311,472,964,936,511,699,352,358,287,391,321,883,851,567,
904,505,504,095,592,060,036,065,148,158,802,442,089,799,494,497,587,250,514,
989,260,044,615,077,267,569,289,908,592,478,163,472,699,505,064,044,579,262,
285,608,697,504,124,823,693,249,829,483,774,622,648,252,161,017,614,486,559,
101,538,212,440,092,701,384,874,078,912,659,180,659,803,889,363,250,927,425,
989,704,253,259,761,878,470,181,779,920,704,513,204,793,570,290,685,279,626,
574,953,213,997,312,344,022,398,358,014,112,000,106,179,949,664,598,059,474,
307,095,593,611,004,406,585,000,137,236,513,044,321,278,816,258,638,792,451,
635,406,250,600,123,177,959,462,695,917,511,191,234,362,906,954,918,920,955,
062,818,510,461,570,437,825,006,792,642,886,153,095,766,409,707,578,269,190,
299,064,140,972,254,641,610,400,254,222,215,649,360,473,000,389,061,277,321,
352,218,076,656,833,793,864,166,792,469,808,045,217,157,131,245,525,036,344,
415,704,958,739,277,772,192,085,479,415,476,589,590,111,734,598,820,415,533,
117,817,905,529,563,567,586,379,525,797,681,729,337,755,248,732,376,789,687,
603,822,414,048,935,732,086,438,560,917,068,819,376,551,891,979,176,762,419,
228,184,146,118,994,119,842,457,560,102,405,780,032,138,131,155,253,685,727,
273,559,304,635,756,159,695,809,784,758,576,671,877,732,801,565,505,376,481,
674,098,002,365,636,996,031,149,883,619,127,685,098,715,577,306,838,952,947,
673,027,033,719,039,425,273,879,522,120,882,711,173,409,637,678,345,608,285,
558,181,546,320,429,828,304,710,980,034,815,260,475,655,857,420,284,853,294,
577,225,151,532,533,773,721,166,298,320,426,041,234,959,885,575,187,433,612,
016,538,752,540,302,378,306,489,985,373,696,387,768,258,088,668,455,436,271,
387,270,263,592,351,700,075,142,347,865,449,401,033,570,654,343,524,939,219,
298,547,952,741,452,939,586,128,940,805,128,410,668,135,959,460,612,239,085,
379,712,796,730,215,054,699,450,565,003,247,354,044,760,956,290,534,003,337,
808,877,852,782,397,273,033,942,177,374,255,975,428,068,973,211,266,888,916,
070,170,731,300,851,353,222,099,362,132,312,656,291,895,102,829,568,182,162,
865,469,638,202,982,058,121,623,763,342,451,860,667,529,453,639,662,853,299,
359,134,804,960,090,986,472,491,138,474,518,931,986,408,090,090,321,492,304,
470,187,462,452,499,952,867,651,406,339,340,476,241,941,298,666,978,627,523,
940,120,504,654,366,564,985,240,767,313,465,744,602,576,295,936,633,539,311,
344,662,343,060,034,571,833,346,234,699,810,342,520,261,686,542,542,243,937,
523,287,539,669,543,657,416,880,912,168,855,604,078,120,067,616,212,205,443,
292,993,211,942,883,236,728,218,712,546,568,977,336,692,960,466,413,390,297,
504,209,857,432,132,280,763,962,906,978,900,761,503,867,709,943,305,871,892,
605,279,834,565,364,259,089,672,866,121,412,969,118,046,037,054,583,231,843,
586,611,187,279,865,450,975,343,010,520,184,445,227,170,546,883,809,675,828,
456,598,715,408,073,091,427,274,964,954,570,874,245,205,289,081,619,936,111,
462,130,159,463,536,893,024,873,519,676,747,734,861,045,439,872,762,663,827,
762,287,182,333,601,909,764,534,815,107,703,722,144,156,974,763,955,540,385,
750,428,981,120,221,788,346,898,903,548,949,303,207,453,174,998,901,699,040,
769,244,827,756,617,699,875,778,808,592,520,116,292,988,443,540,212,431,127,
514,287,976,898,952,871,055,538,549,956,176,208,664,891,792,513,007,493,301,
255,586,256,745,583,754,026,528,692,289,815,890,543,407,648,790,451,983,113,
743,771,330,523,510,035,735,112,698,962,753,721,357,444,583,626,022,735,632,
005,859,154,535,372,084,614,595,359,495,977,004,794,365,198,061,698,258,655,
321,475,516,353,671,046,500,050,022,324,454,927,384,234,027,137,893,756,016,
151,393,404,756,207,382,229,830,684,625,842,072,577,230,953,384,474,800,307,
708,681,660,524,138,449,830,680,480,685,211,082,437,682,328,279,029,097,628,
501,791,836,628,701,020,856,374,170,689,242,998,326,336,055,780,646,046,673,
455,007,393,355,383,046,879,474,594,605,968,291,787,000,177,195,412,520,645,
242,794,892,515,679,934,447,627,670,533,999,679,379,727,098,416,393,607,676,
319,416,804,971,032,130,500,113,988,954,378,505,558,683,210,177,341,591,470,
568,854,384,899,241,234,190,084,021,907,424,633,758,996,631,625,917,246,179,
946,829,687,369,603,523,632,304,231,682,653,588,255,110,087,841,925,770,158,
763,313,291,924,752,620,133,775,413,083,157,403,518,079,143,916,472,309,365,
748,128,508,461,045,087,819,213,583,728,830,819,996,135,207,277,265,068,785,
505,225,065,800,440,889,004,987,513,168,352,975,340,997,572,042,109,019,058,
353,064,873,627,911,105,123,570,731,160,815,913,215,413,605,726,001,932,053,
833,799,009,561,494,259,579,269,380,052,908,519,478,811,273,576,158,875,620,
873,871,889,616,694,258,818,530,829,081,126,943,941,227,956,631,686,356,528,
348,321,152,514,618,091,921,062,889,305,736,844,320,127,273,620,898,618,850,
618,401,862,065,964,589,368,361,381,927,224,097,555,304,398,999,822,645,059,
566,484,420,280,050,787,519,935,750,722,477,546,150,726,940,243,770,334,064,
779,527,106,343,225,405,599,177,347,253,692,904,132,613,302,026,626,523,340,
633,556,641,866,762,730,295,812,048,778,775,742,747,093,033,596,035,544,317,
574,238,300,324,017,546,138,459,163,437,743,289,006,473,075,544,657,962,339,
081,772,413,504,641,780,309,763,489,625,356,289,968,953,124,199,501,262,832,
017,268,529,835,816,074,175,519,844,419,121,317,183,335,501,637,288,110,803,
594,070,481,755,972,563,307,421,549,289,644,099,385,755,125,651,250,383,676,
856,645,361,714,029,479,537,879,889,942,398,791,351,001,705,415,094,959,985,
815,787,682,645,112,998,980,735,399,891,956,271,949,810,550,830,543,040,270,
328,081,576,692,419,008,059,649,811,494,566,549,158,190,575,641,771,506,251,
468,780,533,654,381,158,472,610,208,432,472,324,286,482,760,038,801,048,795,
421,013,006,119,563,211,127,997,224,500,628,897,640,210,061,865,543,916,461,
163,987,550,627,119,443,603,396,813,075,318,390,639,336,636,447,479,007,460,
221,079,645,040,026,357,695,288,890,918,061,562,095,597,331,321,869,258,108,
233,285,962,288,650,001,349,360,523,944,852,155,104,147,189,353,603,825,483,
203,380,611,218,388,095,441,585,800,739,511,224,209,183,793,635,109,683,772,
300,857,536,610,029,876,740,375,772,927,835,264,342,308,487,723,374,300,795,
385,408,920,619,493,989,580,059,294,308,863,575,173,578,879,423,955,148,948,
662,552,133,312,575,723,931,826,772,418,151,733,835,415,102,859,565,591,719,
864,334,551,114,152,623,394,775,750,313,651,857,905,550,865,115,153,929,993,
874,384,450,305,775,260,212,545,238,890,259,769,439,010,872,523,403,951,372,
911,597,022,585,764,600,077,089,857,972,049,704,842,847,381,534,517,088,210,
048,320,235,417,238,284,927,075,634,813,688,007,704,586,376,861,005,455,354,
383,384,349,075,071,414,967,286,941,582,845,764,761,423,620,473,651,622,099,
673,599,685,529,062,690,434,449,281,589,018,423,346,885,425,189,585,843,650,
685,096,831,738,164,594,792,422,163,210,827,592,503,911,027,898,262,731,487,
047,685,545,590,945,932,701,588,173,379,748,308,844,165,910,233,763,867,836,
387,518,437,865,696,509,290,220,407,312,071,437,972,421,402,821,685,201,379,
252,965,020,922,710,763,990,692,001,527,867,190,066,030,782,908,662,736,321,
874,007,156,379,484,690,170,314,888,884,672,199,785,003,688,294,256,261,062,
406,156,956,809,277,471,033,971,184,409,529,758,300,670,876,414,336,211,898,
741,008,069,707,783,369,876,752,022,415,933,490,848,080,040,295,158,769,386,
191,045,193,253,828,991,489,747,518,063,217,892,671,076,877,222,692,973,289,
102,411,001,739,859,799,027,108,322,891,266,736,490,364,958,358,708,021,705,
394,890,505,044,551,339,688,767,941,707,016,951,913,855,297,097,822,873,028,
527,496,576,864,303,717,281,858,420,887,316,412,771,259,787,266,746,893,632,
433,258,131,074,137,038,873,611,131,311,044,515,548,546,897,840,210,542,547,
368,188,396,369,743,365,945,791,110,396,197,216,565,990,282,537,780,436,964,
099,036,773,567,036,458,343,100,141,263,292,192,991,146,549,605,194,569,965,
414,553,392,086,925,186,052,780,199,788,844,740,246,146,662,480,005,249,674,
514,203,478,165,312,048,080,386,676,936,358,771,315,849,415,574,089,807,322,
056,671,607,530,064,094,158,901,803,375,715,988,017,113,720,777,542,501,959,
113,105,141,710,996,676,355,708,002,236,899,200,489,443,432,983,748,055,554,
210,083,246,535,742,803,484,454,418,520,002,642,205,979,067,710,388,701,056,
852,259,522,219,155,551,916,731,032,255,501,831,463,623,770,549,256,202,840,
704,389,057,679,740,882,223,301,864,882,938,346,491,980,266,872,075,584,977,
698,604,726,874,981,424,093,654,913,803,182,164,966,045,349,987,412,490,754,
814,691,050,067,138,268,191,335,162,770,518,229,055,019,806,553,612,159,864,
218,094,094,751,067,593,717,837,660,163,370,159,097,128,266,650,800,088,394,
010,811,631,331,593,555,087,768,979,614,536,120,623,856,913,276,909,985,305,
319,188,318,782,920,937,232,442,538,995,864,525,481,602,048,388,890,717,087,
802,910,210,895,087,906,109,397,619,797,067,440,521,905,229,775,489,445,323,
958,044,852,770,018,308,972,611,080,182,837,570,914,065,524,468,469,950,117,
549,165,025,849,029,038,923,465,568,014,492,466,508,731,223,218,315,037,021,
446,182,101,099,192,570,307,162,495,228,506,381,694,651,839,115,965,135,508,
142,754,397,865,795,126,060,333,207,797,661,675,533,653,336,826,833,959,478,
403,218,383,108,214,163,458,594,480,961,844,379,611,368,180,634,537,766,808,
277,255,694,904,081,504,900,423,025,080,578,422,631,324,128,827,665,408,272,
498,736,009,504,541,566,145,628,272,158,510,033,880,836,545,954,347,875,082,
745,850,904,459,392,512,827,375,996,379,554,176,215,709,023,056,699,327,376,
751,709,993,843,479,934,655,729,076,024,038,723,907,918,927,403,393,970,083,
973,475,498,371,013,884,216,979,895,850,209,318,474,544,736,101,393,809,737,
944,602,364,580,003,440,183,954,920,717,092,307,509,396,387,936,454,809,982,
082,772,012,733,632,904,813,700,897,901,852,003,497,264,517,872,352,867,761,
091,110,284,322,133,383,198,269,902,577,255,137,756,723,524,324,299,481,118,
254,388,307,402,626,266,319,862,539,628,714,371,141,235,010,430,502,253,844,
275,887,489,067,347,537,263,598,138,900,919,612,923,885,739,743,329,068,888,
763,157,022,335,820,307,291,945,874,183,015,491,180,418,037,890,629,347,211,
768,851,115,169,064,690,766,093,503,758,613,978,103,576,859,330,836,149,126,
778,827,435,972,567,010,039,675,348,269,636,647,844,825,954,721,588,383,420,
662,250,219,240,428,729,578,067,385,733,714,439,753,724,818,036,127,373,783,
651,081,846,605,088,004,090,232,011,111,413,528,728,158,139,073,470,121,093,
119,242,768,828,989,333,074,667,012,116,292,830,814,146,278,301,498,914,291,
383,832,694,633,356,096,737,821,389,753,544,254,982,960,872,679,797,872,472,
202,641,076,046,994,091,624,934,939,986,698,541,661,558,951,806,287,831,970,
552,992,681,729,807,464,336,649,387,807,511,859,459,389,210,138,045,726,373,
303,242,880,414,217,860,983,967,930,498,764,081,786,103,105,991,580,891,130,
586,543,199,950,685,331,067,692,089,843,707,450,483,540,728,082,314,198,134,
055,547,278,191,376,987,269,561,050,134,651,775,639,577,330,260,700,317,561,
642,141,917,302,499,634,012,292,631,782,274,284,254,276,744,687,609,295,842,
655,574,434,139,368,422,499,663,656,796,921,722,970,065,415,602,402,199,307,
088,894,882,069,335,256,248,396,341,996,262,054,420,017,917,532,887,452,813,
797,785,989,312,968,409,731,750,762,457,881,551,214,162,603,508,294,056,566,
562,098,529,051,887,480,911,312,426,868,579,110,273,521,688,138,900,944,051,
732,759,114,065,350,965,551,146,238,443,464,537,185,471,618,061,913,259,307,
872,158,122,078,642,385,684,310,356,913,260,623,669,464,383,162,559,630,789,
532,200,919,755,269,730,453,537,190,115,782,041,681,885,597,819,224,320,148,
649,737,398,755,212,437,173,636,391,492,347,166,910,417,632,640,512,553,552,
563,196,585,196,905,175,703,782,289,116,626,080,350,326,749,526,832,892,131,
089,342,710,587,875,814,938,164,237,655,383,225,257,945,023,865,224,525,984,
240,190,333,334,262,955,880,289,464,272,996,032,378,170,941,940,062,224,297,
191,313,798,377,425,988,861,800,594,364,376,541,242,551,296,900,548,903,406,
155,992,604,397,762,421,487,926,765,836,388,977,001,833,973,406,026,998,539,
932,059,545,416,690,165,104,568,667,448,318,604,900,135,513,660,286,237,554,
829,467,593,455,967,545,904,288,246,741,942,448,332,153,775,009,934,765,605,
367,309,074,979,968,642,435,414,171,486,275,345,353,543,998,994,738,617,614,
191,672,591,133,737,176,862,143,783,961,632,675,294,030,782,829,573,387,742,
985,951,350,229,661,751,861,593,606,487,659,011,828,327,097,470,415,403,425,
785,709,204,324,223,365,830,156,108,677,683,906,016,033,055,800,833,762,122,
226,496,281,905,865,242,550,718,048,742,989,076,857,683,467,750,659,345,989,
449,708,424,233,798,846,834,208,941,283,341,476,384,093,307,267,729,196,115,
555,711,229,320,400,819,309,167,306,167,847,885,298,264,945,676,277,688,260,
843,532,576,315,045,139,386,933,419,744,247,105,411,618,941,949,725,362,548,
938,804,768,408,478,029,660,654,054,305,596,714,321,470,953,696,781,961,901,
811,980,937,681,263,772,182,421,223,359,947,608,602,006,333,523,647,134,452,
024,801,728,548,320,701,186,628,939,998,407,609,004,353,430,748,876,548,697,
903,173,007,004,545,049,998,670,884,797,637,230,939,221,781,129,750,180,727,
101,704,946,598,474,492,672,951,704,155,062,648,286,572,898,159,555,257,613,
032,194,382,471,070,611,001,771,831,636,426,361,119,726,624,711,370,800,741,
950,571,786,336,305,903,602,921,126,794,918,814,429,492,677,318,656,424,425,
369,985,334,812,526,938,614,447,308,411,502,753,710,047,450,331,146,397,775,
460,938,771,632,761,315,470,017,672,463,754,699,232,700,681,321,584,678,680,
324,475,282,447,108,140,583,927,020,558,356,876,714,383,119,528,276,897,314,
722,250,764,890,743,542,866,758,476,694,312,557,535,638,944,432,593,104,842,
676,318,702,964,214,455,599,182,024,908,834,010,997,324,207,524,812,607,279,
259,388,451,159,800,262,150,034,867,780,650,986,173,314,219,732,479,843,865,
108,153,235,817,793,649,519,640,623,200,604,193,436,057,961,170,595,393,338,
576,823,057,744,300,977,781,697,062,656,258,997,020,773,730,429,949,269,709,
245,459,656,811,426,960,585,740,994,779,777,487,795,630,691,955,150,543,292,
723,114,897,105,775,178,243,470,397,261,343,481,213,805,950,547,643,763,351,
822,911,336,737,006,360,874,175,701,251,113,897,613,669,954,805,245,073,743,
744,572,437,942,980,827,471,128,567,653,058,239,870,030,540,905,326,847,234,
408,143,892,742,799,003,861,246,542,759,675,796,234,405,202,004,062,910,362,
869,590,492,654,134,989,093,826,664,118,006,608,247,161,002,915,472,129,552,
349,998,895,003,886,868,811,989,605,501,143,866,805,658,674,195,479,967,010,
205,100,025,173,033,029,612,878,079,644,831,583,414,867,688,981,831,278,034,
685,479,365,403,771,622,625,386,545,637,387,150,715,585,252,533,251,103,942,
729,800,678,058,736,901,751,989,153,977,209,508,141,928,404,716,818,134,491,
054,701,197,635,762,985,805,567,377,165,650,037,607,717,002,380,335,576,571,
994,217,113,457,015,493,462,548,118,429,627,075,252,065,716,737,584,685,068,
754,462,673,100,966,571,982,544,970,813,731,724,256,836,679,391,812,545,800,
078,964,857,138,620,539,977,433,545,195,845,937,150,633,496,894,840,857,963,
172,448,807,455,343,550,932,359,949,298,516,208,416,032,873,548,667,534,178,
965,418,286,821,492,549,704,209,773,548,261,167,194,938,986,235,112,968,458,
963,231,348,031,452,404,147,460,656,160,273,511,379,680,090,878,207,938,134,
582,870,981,190,266,701,045,995,389,179,729,866,444,660,186,535,893,664,251,
517,582,238,468,082,475,211,879,250,976,856,645,880,806,145,569,413,629,630,
848,242,126,131,508,690,757,717,716,882,368,040,269,529,351,918,277,199,964,
283,718,529,124,649,580,448,737,111,998,651,639,933,246,560,193,976,742,376,
564,817,528,713,308,023,546,942,326,405,807,571,717,057,786,785,732,280,311,
755,304,199,654,335,339,167,729,180,102,751,445,993,367,104,993,147,807,572,
828,158,378,432,195,598,900,476,286,093,793,626,843,646,698,613,166,404,462,
490,268,438,391,254,734,547,623,470,246,674,552,813,698,923,700,614,295,058,
266,354,160,694,426,093,754,887,889,297,061,948,223,176,529,647,094,024,938,
238,528,058,572,581,856,232,868,554,262,200,647,125,236,148,450,795,782,248,
046,395,746,149,962,555,069,640,198,010,283,549,120,554,167,486,187,856,300,
898,273,933,709,658,114,392,183,335,527,248,697,430,975,987,778,910,370,557,
798,059,768,202,558,278,033,785,363,852,996,766,945,584,093,095,784,449,033,
259,505,620,890,991,837,701,292,017,049,397,705,402,213,745,678,461,952,259,
900,674,629,734,575,574,712,908,984,496,083,320,245,712,475,776,177,180,419,
529,468,996,961,608,842,478,321,420,172,924,783,311,662,210,944,635,300,478,
122,925,688,179,800,724,377,221,470,725,063,964,448,485,439,505,939,967,001,
939,476,187,930,715,874,315,084,737,623,679,436,689,448,474,446,340,286,195,
058,783,552,134,008,085,957,082,212,979,171,868,116,402,158,796,998,654,046,
579,355,670,932,020,693,822,916,344,088,954,254,288,065,382,051,907,222,213,
482,037,964,013,938,095,899,812,037,090,545,978,054,729,541,328,756,573,795,
026,093,379,207,178,381,184,768,951,646,957,218,720,753,261,413,433,375,771,
152,792,296,040,988,930,396,262,641,758,491,717,962,819,005,700,423,112,852,
914,236,302,643,824,089,847,593,522,264,482,599,182,244,533,122,933,078,649,
205,081,377,128,160,846,955,680,113,986,133,694,819,593,883,274,379,025,142,
049,127,542,154,053,913,502,424,180,997,186,573,299,467,097,727,113,165,070,
770,390,945,055,180,386,377,847,556,649,508,536,356,588,296,915,666,977,517,
791,294,756,202,494,301,022,649,610,960,628,078,949,123,639,037,355,220,039,
111,123,956,440,780,037,270,174,890,103,350,175,633,181,311,750,732,260,249,
046,649,915,798,959,722,549,695,343,926,269,252,605,848,218,877,938,411,106,
212,381,838,973,252,127,838,377,227,493,333,812,615,402,061,825,152,499,336,
044,324,696,603,156,612,501,003,917,123,305,950,632,763,688,379,952,843,138,
196,435,795,050,776,287,548,893,388,180,970,468,832,977,062,252,865,655,422,
223,563,989,670,805,114,869,627,378,111,395,167,121,952,223,590,996,246,333,
478,857,511,595,552,330,547,102,708,123,746,678,153,399,202,664,017,205,434,
763,383,723,253,867,417,635,801,339,876,510,679,700,626,865,458,857,186,004,
818,973,128,727,495,086,157,835,905,742,058,357,459,414,600,748,494,600,677,
720,401,955,710,871,215,609,236,688,289,378,459,774,720,926,356,910,647,004,
809,897,285,242,235,337,759,720,091,438,529,920,577,042,554,597,264,706,882,
251,606,778,083,265,243,703,173,388,565,671,172,766,225,060,718,126,259,584,
604,709,148,884,082,187,681,762,833,638,325,835,906,804,752,265,683,351,531,
852,406,861,800,522,962,710,195,015,991,914,597,543,351,061,761,878,639,911,
420,903,632,465,822,646,263,077,699,222,048,712,252,346,148,397,242,867,739,
904,394,548,077,832,863,125,384,015,016,362,164,560,807,205,157,410,124,724,
359,292,971,258,859,283,218,751,121,061,805,575,991,653,469,900,122,586,968,
034,341,134,828,671,367,243,606,820,912,904,824,253,648,177,208,053,451,342,
046,378,022,764,030,654,724,932,249,341,620,916,647,574,254,338,715,796,128,
587,453,659,358,756,148,774,522,003,516,846,644,114,412,926,865,106,898,759,
492,565,702,659,870,780,961,997,551,670,260,314,006,756,388,512,680,852,256,
380,714,763,997,933,173,210,286,129,739,287,135,166,070,861,387,746,428,055,
664,988,284,033,362,138,813,752,954,097,713,225,411,851,614,094,631,171,728,
752,532,178,912,803,136,744,193,726,138,130,283,356,878,321,936,682,469,258,
527,245,151,395,081,249,222,893,396,207,964,950,398,144,350,579,829,086,297,
998,723,231,407,652,750,403,820,484,191,460,687,519,761,382,459,727,055,630,
888,252,428,516,539,006,142,002,285,087,793,634,277,326,867,591,581,334,347,
217,447,912,912,401,796,855,640,133,089,496,970,571,414,797,802,494,377,348,
967,385,519,144,375,917,128,513,942,613,096,058,228,310,777,883,542,295,098,
213,492,990,813,003,441,004,403,045,853,947,394,985,145,465,195,709,385,891,
240,374,420,540,879,087,583,700,251,226,720,751,946,205,273,320,250,895,004,
088,699,912,607,856,383,769,920,294,421,135,248,044,481,028,141,384,893,783,
701,541,048,398,726,562,263,825,231,407,395,890,740,737,861,357,959,301,747,
219,949,791,093,029,792,746,638,170,431,500,772,295,991,349,325,616,214,555,
426,572,946,973,688,811,246,716,023,748,726,324,679,160,347,794,688,828,674,
893,610,489,666,895,984,699,123,280,774,851,915,414,719,519,262,859,558,504,
201,725,006,597,386,754,228,244,151,919,673,941,683,558,555,151,378,062,582,
342,679,881,394,389,989,441,003,387,049,217,210,581,060,036,249,000,624,848,
469,865,350,791,419,524,094,665,802,191,900,516,863,252,185,960,077,336,057,
847,107,363,710,765,625,700,838,944,196,925,358,671,221,087,669,884,125,573,
398,659,220,371,111,573,120,902,099,036,348,926,188,317,815,283,276,749,368,
541,358,830,451,253,792,879,760,686,086,666,625,731,087,947,787,707,606,536,
149,173,328,105,794,590,332,540,146,676,666,278,849,334,933,085,596,628,750,
503,455,298,949,170,622,494,179,219,067,474,514,224,336,510,800,301,298,644,
940,846,277,668,196,756,790,870,645,410,311,847,428,307,345,134,341,842,598,
776,320,626,613,273,399,468,405,404,231,416,799,091,283,793,121,296,226,933,
681,560,563,135,676,885,917,808,348,153,587,212,704,178,681,469,704,512,137,
715,187,712,320,647,213,810,758,517,651,350,731,219,537,676,312,864,429,106,
723,640,948,695,110,415,958,321,698,676,623,222,404,743,344,062,908,351,484,
805,247,757,108,846,226,470,529,699,837,124,806,752,494,377,136,579,127,624,
218,270,279,509,938,114,861,951,574,550,558,358,237,683,456,119,914,505,164,
524,537,406,247,816,442,611,602,835,869,064,561,760,760,340,549,341,956,990,
803,808,645,947,130,566,554,819,782,625,005,820,616,273,377,728,852,761,192,
407,171,268,808,044,338,561,831,433,737,889,488,634,555,128,859,114,235,976,
877,740,250,573,303,200,811,609,929,516,194,794,362,331,229,994,344,344,428,
762,207,984,031,036,466,041,084,905,810,143,893,024,057,318,986,485,289,344,
334,406,330,040,355,606,646,960,865,941,511,699,553,621,609,431,259,526,256,
392,354,059,073,419,252,244,505,779,039,124,647,917,395,382,005,301,447,016,
440,988,593,899,355,719,607,333,923,658,372,960,514,645,441,849,655,713,965,
575,217,854,312,719,398,700,927,442,596,104,884,047,077,799,107,154,817,402,
920,179,494,862,458,607,585,987,991,750,485,669,284,609,310,270,323,920,941,
936,952,738,164,331,064,767,771,934,917,449,551,618,336,822,663,336,429,663,
449,301,280,916,049,699,334,086,883,194,932,794,597,708,800,758,863,860,963,
382,194,536,224,972,626,876,037,138,835,926,051,876,240,488,323,625,613,653,
556,531,877,336,949,975,334,751,286,541,576,726,359,697,526,471,200,305,181,
094,612,144,553,985,932,951,951,682,168,077,683,065,377,076,748,034,211,257,
412,980,608,393,937,835,344,310,929,697,090,599,810,922,488,422,835,557,119,
620,919,636,057,421,956,346,559,548,835,240,668,497,147,196,806,030,494,478,
763,993,637,427,570,188,885,318,198,745,720,145,975,417,244,367,534,563,942,
780,325,968,500,617,107,631,671,328,550,582,164,011,788,744,478,076,085,397,
295,831,239,241,412,946,484,191,207,854,540,282,379,036,669,209,354,070,707,
272,740,234,797,189,094,892,008,576,260,764,991,126,643,226,858,936,733,859,
355,733,266,299,253,744,493,400,692,684,110,424,363,379,696,434,126,095,634,
869,546,719,427,043,916,723,767,737,279,039,155,300,967,375,531,542,122,727,
364,113,361,891,803,919,070,326,156,987,096,021,443,061,605,210,958,284,180,
835,553,099,213,835,847,514,213,659,448,025,659,298,084,193,398,053,435,678,
343,913,071,414,345,189,633,426,589,109,200,826,389,557,546,036,203,786,975,
626,149,471,554,497,168,548,309,923,866,036,159,735,338,994,366,650,783,827,
657,005,559,928,863,299,712,577,391,952,137,071,089,585,887,872,307,265,176,
815,492,292,942,716,894,721,340,571,273,603,736,572,267,307,234,458,219,471,
840,146,836,156,139,764,777,628,870,266,153,316,355,583,738,662,109,087,203,
971,378,923,123,393,389,427,630,828,044,305,468,134,383,357,952,805,118,805,
795,440,778,745,336,789,176,147,915,025,550,520,120,719,518,202,666,102,813,
281,158,335,675,896,308,117,720,111,224,034,579,039,570,440,825,688,415,698,
644,878,248,920,247,509,558,981,593,953,240,370,998,397,516,607,149,221,898,
382,139,511,719,878,591,508,281,056,232,511,196,130,787,175,426,161,248,321,
728,452,255,887,168,871,065,846,426,920,389,046,108,936,544,607,780,927,607,
486,681,910,353,307,680,677,016,262,066,207,815,497,673,520,939,479,121,632,
160,746,453,592,846,170,927,571,244,256,690,030,857,917,815,704,603,412,076,
788,098,135,671,246,430,075,700,548,107,038,304,114,552,002,577,324,572,774,
513,918,984,365,304,584,008,901,885,292,787,274,346,282,829,465,099,572,667,
939,706,539,260,342,219,301,588,564,459,856,381,923,014,361,860,491,239,733,
994,926,784,379,168,285,009,354,249,805,352,751,130,468,129,619,174,506,184,
383,094,832,074,102,889,812,802,467,967,433,820,897,306,151,390,602,269,687,
223,127,481,208,515,858,756,888,735,552,033,689,427,755,272,213,390,607,442,
933,000,110,224,237,645,296,622,509,714,468,367,771,878,971,455,433,618,489,
436,316,818,672,190,528,558,508,506,772,649,853,141,416,937,517,392,846,466,
006,527,971,804,158,647,862,950,054,859,611,545,365,088,338,358,307,313,508,
986,863,343,005,440,454,638,904,371,136,619,787,606,868,194,937,517,544,935,
162,833,146,090,065,587,932,253,383,676,947,298,895,164,293,844,974,577,044,
981,200,438,378,915,859,240,940,517,059,082,596,615,964,209,183,316,633,016,
458,494,708,556,373,668,320,664,495,409,841,461,684,785,911,830,651,157,677,
400,809,830,844,851,089,150,390,647,495,934,228,351,294,153,582,694,994,169,
712,186,870,110,919,460,149,985,659,341,606,847,075,249,852,304,201,441,054,
408,341,933,742,488,786,492,118,102,441,924,297,461,577,790,783,164,970,966,
245,484,464,380,801,180,495,120,724,173,350,620,695,845,581,818,530,397,008,
640,627,969,009,281,230,789,325,040,496,178,118,089,694,584,781,421,838,036,
949,348,226,060,622,040,857,987,901,917,872,740,860,973,961,292,336,270,681,
404,175,188,994,133,982,394,314,856,747,578,661,788,970,399,714,921,936,910,
479,455,284,912,425,654,448,083,785,790,448,112,141,117,286,641,544,440,803,
056,758,487,945,208,762,505,720,244,941,759,325,427,738,584,650,633,555,482,
853,072,583,487,895,117,347,503,013,582,457,452,030,612,223,870,546,417,488,
257,312,989,857,961,695,579,165,967,167,178,106,776,678,327,134,284,017,778,
628,499,396,215,021,194,242,208,376,261,578,133,287,710,682,870,440,127,373,
826,853,168,996,057,711,718,352,955,590,635,508,834,537,216,579,130,614,672,
093,792,846,956,720,031,112,489,838,354,325,189,479,960,870,593,117,831,862,
746,682,271,716,833,119,761,714,591,473,377,406,186,753,357,830,654,218,056,
491,681,159,660,733,231,322,668,014,854,761,362,193,049,927,169,899,888,778,
894,142,395,997,093,888,423,248,779,178,035,920,768,617,095,847,277,932,739,
647,803,105,956,948,867,300,339,872,125,290,554,472,642,563,838,524,663,681,
185,684,087,442,345,542,159,442,117,268,089,447,590,057,265,692,081,906,198,
234,722,040,468,998,566,697,910,891,837,977,540,924,981,260,651,636,394,682,
460,084,437,229,859,888,129,799,785,785,243,087,769,902,323,624,510,700,160,
693,473,036,347,456,174,014,325,366,455,617,674,623,731,101,896,043,725,624,
400,386,418,661,366,429,398,703,663,383,816,767,220,712,888,418,384,094,538,
873,484,298,560,201,302,558,653,345,990,932,425,031,587,356,240,588,758,893,
520,514,333,140,384,251,481,438,124,172,793,077,914,561,851,224,490,770,182,
160,987,629,143,198,415,237,428,270,640,388,234,053,005,550,500,148,005,069,
907,915,503,837,847,450,142,836,758,795,628,037,921,037,764,860,249,806,669,
600,553,474,754,811,868,757,124,035,778,424,969,032,348,522,748,154,236,449,
433,679,417,714,758,404,399,490,157,028,172,977,700,357,213,799,033,909,031,
962,643,093,313,826,852,694,881,766,733,405,709,216,470,195,165,198,842,530,
529,693,786,168,450,493,245,230,814,863,809,220,245,846,445,814,246,983,691,
715,630,267,038,268,979,891,668,942,491,149,664,516,939,533,706,465,162,343,
345,037,105,667,254,188,445,374,209,801,138,242,057,161,228,218,776,800,723,
230,261,006,401,128,188,311,161,565,280,717,588,856,162,333,751,621,732,672,
361,509,064,225,202,258,651,868,086,116,982,127,677,888,761,319,499,291,471,
561,674,390,748,809,799,507,105,421,871,363,440,519,315,861,520,941,042,415,
853,719,878,208,300,922,600,526,945,310,944,779,063,928,199,611,378,319,915,
303,799,123,970,710,082,023,333,849,431,570,098,291,831,949,606,628,681,021,
429,644,660,800,088,306,267,809,346,010,770,439,487,525,818,919,351,189,047,
247,518,214,732,100,768,216,706,568,474,989,409,042,408,992,418,717,460,439,
172,214,020,127,783,369,420,084,115,628,877,677,966,805,985,986,246,349,736,
247,769,301,970,149,149,730,462,254,158,571,927,714,307,709,685,025,261,330,
022,293,025,028,256,042,676,883,407,897,636,744,417,094,210,425,374,399,426,
149,233,132,179,258,956,364,302,712,346,611,407,698,912,333,539,414,817,901,
942,906,016,519,326,425,054,767,031,447,655,734,459,724,017,052,671,079,404,
402,365,846,862,506,274,901,140,597,868,047,532,060,479,116,055,157,891,851,
670,561,162,106,985,073,925,883,213,523,602,089,559,052,642,612,288,579,520,
474,035,416,139,038,593,112,681,906,411,243,470,876,943,131,796,278,400,605,
518,881,829,706,852,417,007,698,880,264,508,301,536,588,302,824,921,789,153,
507,879,898,461,897,257,553,806,107,052,925,288,458,800,803,578,536,050,134,
769,148,206,915,480,470,216,707,655,237,223,513,659,912,970,505,950,881,933,
566,792,179,875,453,084,451,551,020,924,884,031,177,474,456,221,704,119,274,
641,486,646,997,261,187,979,159,330,618,632,189,409,532,641,568,787,774,814,
367,356,155,784,825,518,102,037,508,111,219,620,306,407,956,926,914,989,230,
287,377,468,003,823,674,802,908,441,431,637,379,709,991,339,826,366,167,074,
196,228,768,970,867,815,533,680,472,889,984,012,990,634,541,788,702,237,626,
035,732,433,557,782,993,848,032,402,301,119,488,783,059,283,684,854,065,948,
000,852,401,415,038,974,614,437,274,953,202,274,593,214,008,221,824,385,281,
801,745,791,516,470,263,862,606,463,867,637,497,583,662,498,620,600,535,031,
933,845,041,403,279,747,052,493,581,759,029,618,656,952,790,463,703,998,526,
125,159,657,952,790,339,433,835,554,688,846,651,715,287,528,939,043,931,872,
852,822,101,416,903,540,514,812,349,106,708,815,197,670,209,755,840,162,899,
793,825,470,992,539,991,012,323,465,823,323,212,364,122,489,471,364,926,652,
526,320,989,959,999,429,104,849,168,194,799,659,149,511,659,645,591,408,445,
415,427,855,572,785,131,445,865,652,641,094,980,245,310,543,692,988,169,975,
280,656,669,907,817,210,379,754,315,600,945,614,559,708,777,443,146,370,230,
500,161,246,337,487,187,426,129,046,963,124,033,267,359,097,607,251,407,996,
636,316,090,438,929,800,833,588,691,119,122,918,902,381,971,812,866,748,497,
254,981,343,665,812,615,935,282,009,650,443,173,223,701,331,203,376,534,887,
618,732,384,850,980,249,560,128,732,962,884,404,805,547,169,390,054,258,112,
677,167,887,459,177,733,250,592,015,585,350,278,065,888,504,510,637,774,789,
151,206,139,479,751,967,626,640,644,483,638,223,305,832,257,026,244,149,490,
259,833,562,663,718,451,145,656,082,432,224,859,221,143,040,917,461,018,635,
860,749,826,547,949,293,259,658,346,394,094,811,525,191,232,879,134,734,283,
330,762,495,820,078,764,089,498,204,089,478,276,598,202,380,432,558,054,745,
215,095,646,384,395,238,118,745,761,464,412,660,252,187,894,719,917,219,181,
227,257,827,160,189,429,554,165,278,805,427,783,069,609,958,383,563,724,659,
747,830,274,323,886,806,970,190,969,127,679,722,920,830,824,437,784,721,448,
249,492,842,291,363,085,337,312,971,684,741,761,236,986,406,506,735,580,644,
264,761,430,727,285,796,473,296,929,715,222,948,426,324,435,761,939,629,014,
551,042,360,380,128,730,515,633,510,900,765,131,088,527,005,782,590,288,682,
349,861,782,469,703,848,272,811,469,611,482,499,188,402,869,104,767,878,442,
612,582,427,396,780,416,973,530,102,522,696,706,110,906,719,971,625,081,113,
460,187,722,790,058,368,977,618,027,600,856,818,595,200,271,103,053,687,072,
303,250,369,892,910,569,205,190,795,276,981,739,143,066,398,416,833,141,126,
827,194,352,601,467,009,413,391,598,418,436,614,710,812,781,349,867,680,533,
191,639,759,628,010,901,822,972,552,780,312,094,219,410,639,891,504,047,156,
767,954,957,895,041,169,830,540,320,305,107,893,514,941,924,556,394,299,015,
611,258,289,352,065,715,897,828,587,882,909,613,796,211,501,542,485,159,236,
528,133,793,857,709,095,539,222,554,036,133,555,716,044,657,651,903,228,337,
639,862,289,945,387,310,887,183,080,733,245,803,932,202,854,866,376,203,884,
229,251,968,261,063,530,205,197,303,090,841,310,447,377,220,221,952,201,688,
900,079,365,312,280,872,218,795,903,515,255,553,094,680,319,499,611,825,748,
281,523,918,601,368,035,038,084,611,403,341,165,062,017,063,656,575,129,573,
172,889,409,134,822,921,840,026,983,356,424,946,815,742,044,358,486,153,436,
614,066,174,892,141,690,351,439,249,265,567,623,930,272,708,317,928,317,312,
221,286,693,726,216,193,092,771,641,158,153,383,426,276,435,068,586,643,513,
274,731,491,124,616,037,641,458,790,365,742,024,959,550,417,005,626,938,281,
289,130,871,685,970,476,763,038,928,831,834,878,920,396,661,812,359,991,539,
825,178,337,293,749,481,964,267,233,234,426,224,237,395,739,168,258,460,561,
214,624,497,153,575,114,866,044,367,582,133,395,337,778,881,888,265,802,667,
953,608,977,648,663,532,222,070,216,775,907,187,415,524,975,732,477,823,405,
857,130,283,582,288,177,373,816,683,960,899,299,574,264,933,288,654,726,035,
548,333,232,629,822,266,072,660,496,967,022,008,629,292,186,309,743,973,508,
863,269,185,611,561,226,070,415,774,389,516,791,732,230,758,198,895,319,107,
603,836,689,011,433,793,087,249,211,024,040,369,182,766,716,547,802,686,704,
076,434,790,824,511,977,229,573,422,857,688,592,604,089,019,529,321,830,545,
792,299,791,485,565,752,121,749,193,761,603,760,273,249,700,990,689,827,722,
582,657,665,728,859,641,863,696,433,492,748,121,740,023,856,249,918,697,614,
215,131,363,702,385,205,382,088,392,332,961,014,928,616,168,724,375,239,329,
357,100,882,039,950,000,585,222,604,498,076,836,015,831,398,643,732,835,970,
283,108,035,554,956,811,167,165,220,981,350,167,343,988,351,688,432,536,370,
711,606,279,572,917,492,196,103,721,464,072,407,123,490,117,661,188,433,141,
572,423,967,447,995,490,503,280,859,066,253,027,711,240,546,894,583,743,507,
191,664,155,576,928,368,283,917,812,355,655,462,735,192,944,059,265,686,785,
032,394,632,658,888,508,165,481,831,213,783,267,830,183,588,202,331,950,701,
047,728,984,443,742,340,943,969,810,475,044,062,330,226,847,808,409,591,466,
116,047,339,204,314,719,851,702,814,884,841,365,058,071,058,178,025,585,451,
075,233,803,951,490,550,252,042,456,538,596,604,192,849,155,645,095,390,954,
418,820,862,345,231,592,032,575,630,297,202,505,963,950,627,413,006,618,427,
294,555,166,538,061,641,708,634,066,894,165,567,362,862,176,227,159,408,250,
194,601,620,250,277,864,452,122,870,708,026,018,128,471,339,534,230,951,980,
573,624,470,038,961,780,380,332,712,037,639,728,838,025,161,638,024,254,933,
646,849,084,138,981,498,300,475,524,748,604,713,747,408,346,744,365,217,675,
713,279,717,104,943,242,592,971,719,640,345,765,089,423,405,697,192,877,553,
704,587,904,527,260,013,639,449,869,479,449,745,610,098,058,565,920,444,717,
386,077,635,598,281,996,120,711,276,999,014,487,107,831,287,683,716,686,455,
346,475,009,430,246,763,447,655,301,047,825,277,861,057,692,612,988,866,044,
138,767,822,798,806,043,186,132,956,144,134,035,015,616,198,220,586,072,310,
877,756,725,520,760,451,359,941,369,093,399,946,545,543,267,777,676,684,838,
210,603,573,177,129,723,155,239,119,927,592,395,084,970,503,560,884,402,510,
023,585,280,372,391,621,512,808,619,245,652,943,595,192,521,275,596,626,628,
157,676,008,309,246,517,383,536,943,706,281,283,297,413,334,679,006,487,932,
259,591,939,065,871,022,113,452,761,493,891,269,846,389,022,857,326,788,383,
589,344,327,453,504,332,227,976,982,098,974,745,496,008,350,958,964,654,145,
190,992,895,833,781,521,021,737,591,081,326,346,177,506,177,306,499,437,424,
705,522,020,121,562,406,463,973,514,217,959,001,725,236,986,327,420,199,270,
287,344,126,379,494,094,809,130,845,930,531,014,376,492,240,137,598,625,281,
425,679,364,508,019,013,751,308,443,463,584,091,523,412,068,562,933,805,083,
716,790,795,979,767,265,760,227,294,371,093,262,529,760,706,869,352,748,127,
853,645,357,683,132,695,212,798,899,097,283,507,144,668,260,650,549,553,002,
103,985,205,503,529,422,885,031,860,543,350,417,055,274,085,524,030,799,647,
452,328,258,102,118,950,523,103,810,172,950,281,087,495,048,622,315,322,638,
715,562,197,809,522,586,019,557,108,555,917,405,798,058,991,603,996,525,168,
962,146,183,718,812,582,171,441,092,550,126,264,313,664,877,049,804,019,329,
686,828,615,879,299,541,108,746,259,811,547,081,516,461,077,859,435,638,694,
429,465,675,015,248,638,531,085,161,616,917,612,882,138,446,487,476,137,029,
684,126,457,017,627,549,801,162,344,986,447,744,699,298,972,976,944,739,377,
822,851,807,991,938,042,329,253,281,538,706,322,934,438,409,355,848,542,577,
798,581,326,670,898,948,378,973,729,527,740,474,435,817,253,537,521,459,041,
997,877,010,094,038,015,391,534,912,377,249,185,948,567,147,190,939,960,242,
983,754,764,090,538,143,402,689,875,827,094,447,360,949,720,318,703,907,877,
335,799,442,452,615,068,557,409,012,363,544,066,968,765,229,225,620,764,642,
984,802,013,689,153,078,825,750,179,453,749,652,149,263,945,451,176,350,232,
409,619,690,791,924,322,979,846,503,764,840,131,158,420,345,316,953,708,489,
565,136,280,672,888,979,691,617,968,804,813,079,394,802,921,289,171,698,223,
536,763,235,907,859,411,915,303,446,051,783,513,077,107,860,721,093,152,407,
186,356,319,981,289,030,448,594,868,852,180,446,825,655,107,345,553,073,655,
298,203,447,018,592,166,888,650,063,665,151,859,306,068,385,425,945,920,749,
947,328,292,362,334,913,172,964,181,585,930,667,052,368,762,881,526,729,655,
265,186,440,862,404,454,694,594,931,491,478,828,665,406,210,749,026,773,026,
259,913,431,491,433,441,614,920,525,303,077,824,772,388,334,219,364,406,273,
225,022,717,644,069,963,469,222,087,410,966,051,728,457,536,241,995,060,926,
182,260,277,888,964,347,152,734,655,936,455,815,185,339,935,638,544,570,752,
324,550,714,001,337,045,778,630,949,715,199,530,751,125,237,043,133,691,058,
557,424,792,156,469,622,542,082,069,615,857,738,203,665,598,343,157,272,322,
911,293,365,633,486,468,125,992,083,970,607,774,129,248,358,851,059,890,808,
961,232,437,891,239,015,840,546,591,433,341,086,134,659,591,505,417,081,326,
184,946,704,828,243,265,192,594,563,214,189,346,248,243,344,722,679,229,697,
514,333,122,731,783,816,170,790,153,028,370,873,870,275,174,279,872,214,862,
354,330,196,234,980,968,421,513,233,136,388,104,656,521,205,421,500,956,070,
410,101,295,520,785,253,639,255,858,556,967,099,392,756,905,083,715,319,954,
350,177,726,872,205,885,976,373,725,673,171,763,250,537,937,540,067,014,085,
412,909,807,844,758,791,102,189,361,241,820,756,533,659,852,312,753,760,104,
710,303,245,545,746,893,185,757,758,363,171,111,939,979,377,658,498,139,235,
126,661,754,797,499,407,204,699,551,237,194,986,240,619,732,002,579,041,289,
005,264,968,128,590,100,640,824,591,388,122,074,477,436,538,254,419,961,097,
287,707,841,623,039,908,111,238,290,425,541,172,258,179,436,298,523,378,217,
253,166,128,805,964,560,156,895,914,848,865,261,562,441,048,578,405,703,237,
347,105,989,029,215,775,614,292,342,812,885,284,325,825,315,531,768,299,391,
586,496,805,916,128,085,031,882,123,801,135,939,283,764,460,961,591,897,921,
727,280,651,500,628,889,737,333,578,848,454,021,318,612,158,412,158,841,269,
986,163,220,079,772,894,470,319,335,639,725,717,673,814,424,885,097,506,052,
641,271,528,442,811,258,144,263,808,079,804,146,842,480,960,396,180,953,982,
824,638,135,186,468,462,461,138,608,446,434,416,308,623,087,875,210,310,267,
349,820,630,375,408,938,934,990,870,078,794,893,383,099,963,163,011,739,907,
417,005,066,216,273,486,200,315,319,293,994,019,201,058,243,194,943,568,157,
804,385,162,958,012,610,580,472,588,465,395,181,787,459,510,677,539,288,861,
553,691,344,852,399,209,343,979,071,732,906,372,570,878,184,977,302,758,645,
104,025,056,131,282,524,283,799,696,579,542,179,306,685,926,833,645,665,279,
791,444,264,355,197,174,295,780,142,453,006,270,046,781,602,735,489,458,609,
598,579,079,239,119,891,923,466,436,934,092,087,112,166,843,662,550,042,630,
669,263,474,417,814,715,184,983,656,761,059,613,497,691,471,828,924,438,927,
823,142,249,921,344,107,410,427,124,463,621,444,463,960,110,313,659,929,437,
988,318,592,573,783,736,740,543,343,529,930,705,334,055,215,742,403,950,176,
491,289,595,654,919,019,317,527,410,350,843,655,264,205,214,413,350,495,903,
198,528,979,275,955,783,380,196,241,698,027,226,604,878,783,838,093,865,208,
975,758,678,186,118,776,769,231,346,463,800,474,626,935,548,814,553,155,284,
795,734,149,360,210,991,427,562,559,619,604,947,132,860,993,622,105,579,533,
668,755,640,380,659,686,607,562,125,818,116,399,974,231,724,927,979,642,189,
302,154,529,054,555,502,728,057,355,337,996,751,424,084,774,932,389,320,288,
308,643,299,153,880,019,415,569,850,902,380,609,606,216,966,329,160,901,878,
043,940,557,476,949,291,998,033,684,728,484,451,316,759,516,952,118,290,114,
188,928,385,545,921,165,606,788,052,145,033,928,101,313,794,059,361,785,046,
123,859,326,017,996,226,081,702,998,040,916,324,959,736,826,951,603,176,918,
486,886,898,079,402,199,237,775,621,909,100,719,451,518,523,169,807,141,381,
572,522,471,052,461,553,074,842,782,621,819,867,463,825,270,489,033,138,112,
484,633,615,203,518,667,738,056,522,801,303,962,645,100,235,417,809,532,248,
019,450,794,571,832,131,474,959,013,334,330,225,616,818,976,000,762,656,861,
467,536,963,386,302,321,485,055,219,536,247,802,667,498,160,978,133,292,126,
364,998,124,296,432,790,689,803,057,131,414,458,365,816,771,217,661,598,508,
254,773,064,588,606,560,329,336,147,890,373,435,007,544,087,639,608,416,632,
134,893,346,043,058,216,764,894,293,840,037,225,866,347,751,666,407,258,749,
855,237,067,124,159,303,060,015,518,836,008,094,288,902,239,613,924,564,054,
149,541,332,281,148,553,769,150,140,708,394,945,281,905,312,973,294,301,460,
478,889,138,728,886,030,251,414,226,128,485,572,920,320,323,760,885,083,268,
936,411,636,785,289,151,274,157,321,351,951,543,623,977,544,793,285,882,359,
438,480,605,529,402,619,545,956,804,655,152,501,543,980,290,082,156,280,507,
869,965,657,581,443,221,014,203,627,022,670,623,421,308,283,676,080,290,271,
201,693,647,869,695,099,004,793,849,208,728,020,680,279,858,020,241,878,625,
938,134,334,203,616,833,854,553,529,105,452,028,000,737,611,888,565,522,156,
654,263,928,187,017,883,550,913,602,466,931,124,606,438,422,165,091,740,174,
614,272,118,927,620,890,403,977,405,394,118,683,464,691,404,324,855,452,699,
286,509,754,557,212,194,328,237,280,199,084,113,889,068,343,816,206,359,208,
752,941,343,115,729,110,651,454,217,150,078,772,426,075,031,365,540,169,921,
948,334,944,811,709,122,853,655,957,887,969,539,043,858,155,291,431,788,227,
677,275,841,105,110,129,812,258,576,859,373,571,359,399,981,200,602,018,889,
807,574,876,377,002,267,813,059,722,992,182,908,844,789,608,102,134,898,229,
801,133,611,929,214,501,562,356,589,921,426,374,043,858,491,113,178,724,291,
950,848,439,523,707,285,930,363,673,549,895,749,897,697,282,435,559,694,813,
795,016,128,670,188,439,383,050,252,853,277,259,876,165,717,250,674,901,065,
844,108,353,888,114,523,217,406,875,891,699,879,967,512,572,179,810,881,788,
704,979,343,310,248,534,900,101,286,971,026,616,491,180,561,890,981,944,626,
034,735,643,462,249,345,913,073,002,724,119,493,144,786,005,917,415,982,622,
613,951,414,242,303,076,466,432,015,080,398,659,087,652,330,443,717,730,872,
887,569,376,444,059,779,350,300,084,331,932,601,832,482,782,064,698,873,818,
233,763,531,388,544,296,759,384,460,548,306,231,929,223,697,082,663,037,696,
897,470,882,459,050,715,618,920,757,789,668,397,638,009,767,195,767,881,833,
996,085,831,438,925,061,777,719,623,955,072,867,773,274,645,763,360,948,715,
029,909,627,027,117,356,107,914,614,274,833,103,369,252,038,134,617,758,873,
093,843,574,907,231,349,575,419,994,538,631,917,752,833,364,064,913,448,087,
523,143,058,966,162,300,233,372,499,211,296,381,649,072,565,970,658,481,977,
639,497,091,756,092,113,306,579,524,894,855,844,616,217,076,388,623,748,135,
955,301,270,146,843,437,514,175,854,585,133,677,435,938,531,511,458,583,332,
847,056,648,114,672,730,894,363,713,433,577,925,546,470,713,990,142,623,280,
948,751,955,665,924,203,365,906,562,749,750,280,510,371,736,651,400,467,892,
732,735,992,302,101,863,772,317,574,513,553,586,951,825,942,127,673,139,275,
708,998,307,678,109,438,895,068,690,284,350,757,521,141,499,490,437,651,686,
389,988,304,430,708,047,679,828,870,934,415,523,586,898,174,806,119,113,347,
300,489,169,795,388,999,320,756,592,796,957,945,457,194,789,194,606,416,632,
332,130,757,420,304,122,301,486,737,773,185,860,210,793,503,644,689,056,614,
836,272,943,134,737,344,546,558,643,689,397,761,003,961,534,013,206,170,822,
343,229,079,780,031,381,968,907,276,726,671,693,760,778,993,076,739,392,003,
481,937,047,247,900,781,144,244,006,380,861,267,251,103,804,789,945,343,024,
279,858,812,023,535,843,009,125,269,411,060,678,983,034,532,994,027,993,085,
231,528,250,244,837,211,456,310,318,524,619,845,976,128,206,354,989,130,271,
528,435,475,931,806,347,226,809,746,556,988,107,246,289,231,893,214,414,578,
978,420,894,664,663,292,061,234,740,816,126,667,300,469,977,121,603,705,205,
570,698,614,492,265,174,771,734,908,596,580,725,579,613,517,500,235,961,989,
018,727,608,038,345,066,632,203,055,278,921,349,673,004,313,998,592,339,709,
771,427,310,457,896,055,351,689,712,492,334,571,005,206,379,802,035,474,281,
129,573,012,200,536,280,013,671,620,100,527,019,465,371,895,037,895,518,285,
982,214,766,827,389,995,661,900,898,780,255,635,223,119,792,375,235,069,615,
266,200,358,478,652,975,255,479,777,757,488,315,972,106,036,885,126,786,257,
377,000,657,478,407,408,297,224,671,608,621,890,593,657,450,247,804,997,740,
030,208,571,730,886,625,703,872,736,372,445,823,211,778,241,081,316,360,592,
346,071,151,841,368,711,972,375,378,189,252,344,597,214,905,890,686,238,640,
095,557,006,954,592,469,838,195,702,674,996,090,046,340,115,226,791,584,467,
215,415,142,961,600,439,998,465,929,833,761,132,564,323,327,313,271,209,400,
197,399,439,204,400,127,063,298,032,981,573,029,749,976,846,421,918,217,152,
296,609,730,773,227,010,406,559,321,088,986,601,097,519,482,599,191,975,122,
972,222,731,363,613,800,652,492,574,528,117,258,342,351,656,216,142,438,436,
576,527,175,954,450,497,230,962,278,790,183,839,393,022,544,977,390,108,506,
570,458,618,356,609,504,475,498,419,448,963,133,945,903,878,469,705,857,546,
052,086,340,746,335,189,361,132,395,414,712,161,323,597,749,906,512,972,107,
984,752,972,835,115,561,372,123,182,778,389,772,228,008,973,054,621,670,241,
510,349,887,754,407,926,234,951,711,715,472,090,010,789,265,869,343,083,135,
195,021,259,702,830,811,215,182,553,515,655,287,000,993,496,389,433,449,701,
460,486,650,309,026,000,248,579,391,520,993,089,150,309,787,870,745,217,478,
952,209,821,136,449,752,417,830,132,954,308,029,542,864,974,104,941,003,585,
277,448,012,090,071,803,793,774,899,857,457,162,333,688,394,870,793,678,813,
389,037,467,492,426,068,784,081,276,323,298,645,609,866,516,665,454,131,336,
851,985,981,265,915,383,423,638,223,862,206,657,383,221,710,390,648,002,826,
419,534,324,453,227,986,681,865,386,634,050,734,070,147,582,359,398,776,355,
365,466,388,450,186,871,482,278,012,303,719,013,608,683,513,376,393,033,790,
096,502,332,684,174,659,417,946,931,434,739,817,852,272,721,134,870,338,314,
554,060,878,436,968,598,504,755,028,976,604,996,279,687,812,834,751,597,041,
364,556,961,207,383,916,955,795,647,760,387,510,158,238,022,991,047,363,065,
066,401,631,837,444,511,006,347,012,721,680,392,555,336,333,925,450,835,683,
353,833,644,182,418,370,721,362,410,509,245,776,087,039,461,945,419,233,768,
203,065,218,239,929,031,497,518,860,998,416,931,651,678,119,775,308,102,945,
001,229,858,540,065,292,660,214,202,036,035,279,330,620,032,711,759,896,763,
868,857,019,026,282,619,311,527,885,612,871,665,320,370,303,628,747,355,143,
387,337,531,683,245,585,860,139,797,541,814,689,291,155,900,843,244,437,252,
892,558,765,036,015,412,075,505,510,397,744,283,781,938,170,815,294,982,849,
481,048,589,691,609,265,698,978,072,708,655,272,691,014,276,082,184,462,637,
829,165,717,007,721,189,552,333,514,555,946,198,277,819,692,243,801,508,620,
015,015,417,665,099,423,245,442,922,714,277,046,302,779,346,082,407,735,158,
348,754,060,967,376,252,109,204,023,852,884,181,711,413,741,505,065,832,984,
419,569,071,013,125,088,339,343,552,904,337,054,083,562,058,835,383,188,502,
981,281,924,748,839,630,654,433,027,731,634,915,425,647,859,000,598,153,680,
106,893,117,026,480,253,690,838,991,651,823,304,068,402,221,363,369,740,233,
599,250,318,922,584,301,683,919,689,698,113,755,723,088,799,384,943,605,230,
816,729,506,858,499,014,729,678,978,392,701,663,473,563,780,890,644,121,658,
570,390,325,733,415,055,642,060,692,554,566,405,694,855,752,528,447,076,677,
284,881,997,049,363,425,920,898,429,631,511,514,328,476,156,580,105,207,628,
608,402,307,397,626,214,311,788,761,231,049,302,933,006,596,587,270,526,333,
402,176,706,308,581,477,608,530,051,993,391,510,135,678,593,732,327,627,248,
014,762,212,750,124,009,141,763,292,007,810,804,752,546,945,592,417,406,959,
296,811,634,290,413,247,696,715,885,895,562,597,792,846,243,629,430,539,288,
723,502,824,696,877,701,493,586,695,046,106,287,457,212,561,193,278,006,878,
414,719,770,615,705,685,903,854,033,333,087,251,038,261,425,560,219,473,504,
475,617,290,498,562,463,038,803,909,461,216,411,675,073,673,358,438,441,892,
379,468,318,664,419,607,313,515,057,782,749,943,196,689,813,294,308,183,636,
251,100,432,486,912,244,261,427,534,207,690,924,532,007,761,301,633,907,689,
585,726,757,823,919,970,462,942,487,963,334,363,159,808,655,538,164,603,359,
697,173,045,204,040,719,950,302,142,964,908,973,534,474,555,332,635,885,026,
719,305,645,561,524,685,862,250,586,783,819,083,160,710,819,682,316,037,268,
824,765,240,987,323,454,415,133,450,388,645,072,650,315,942,619,877,027,558,
850,107,219,011,450,867,989,074,411,095,890,023,503,561,339,437,571,368,669,
649,591,217,404,118,351,917,326,718,216,207,477,880,628,384,281,725,277,217,
479,629,656,651,609,477,227,938,656,053,336,835,262,468,509,208,170,519,165,
929,675,087,220,846,393,363,056,571,601,869,430,619,586,604,383,710,178,270,
475,549,073,132,324,355,170,126,319,689,009,298,584,003,419,706,851,717,579,
831,874,475,769,066,990,906,068,951,669,833,993,452,092,934,983,019,498,540,
890,364,276,006,073,507,055,590,598,483,729,619,260,992,073,269,261,223,611,
703,017,119,113,829,182,037,313,376,341,005,927,367,896,969,057,002,061,752,
141,896,398,941,218,670,199,242,419,616,737,066,097,171,661,437,516,679,414,
612,927,928,904,781,264,439,656,610,170,879,899,325,531,765,962,086,397,579,
274,494,516,065,650,254,257,243,203,159,372,327,440,210,873,148,183,540,682,
559,863,778,097,774,876,854,109,593,197,961,869,214,188,815,902,721,577,473,
612,640,157,860,881,790,475,803,882,662,392,289,347,739,322,035,980,103,600,
932,027,184,673,455,226,582,287,470,328,193,554,115,773,221,331,343,964,834,
927,184,779,717,606,903,320,134,954,148,386,622,498,969,095,431,030,719,168,
969,586,440,127,377,478,452,788,424,375,916,624,371,556,810,981,569,850,303,
521,530,101,098,342,010,023,425,635,540,990,132,670,189,006,405,089,939,362,
904,861,371,162,472,384,545,838,379,078,255,366,228,750,320,737,229,571,922,
836,281,237,092,436,926,649,497,386,264,781,051,888,906,074,571,122,885,464,
868,205,569,343,914,848,910,809,593,535,229,161,918,188,068,248,826,426,310,
437,338,755,351,489,105,485,613,067,545,632,858,396,027,276,158,351,327,688,
343,861,819,352,562,414,794,034,369,795,413,954,155,266,620,986,423,887,853,
679,529,638,101,867,387,741,530,977,874,243,170,896,671,656,646,200,373,969,
726,010,204,004,317,965,858,417,967,920,413,862,533,177,822,022,906,640,059,
012,668,105,475,090,713,849,395,324,296,930,015,123,925,298,749,302,187,798,
409,859,312,349,875,789,645,324,100,348,114,306,215,691,229,817,091,050,688,
766,158,291,463,661,454,932,481,798,785,302,003,085,150,085,972,379,362,071,
833,368,157,281,807,655,663,059,538,302,946,867,700,269,338,984,544,861,970,
844,876,588,327,186,892,406,103,050,173,311,506,042,731,208,844,675,668,138,
270,394,258,944,982,633,685,231,772,606,742,353,862,582,490,671,104,336,293,
547,035,000,258,849,680,520,425,472,915,676,807,747,955,608,061,094,816,770,
267,406,552,874,126,461,022,017,261,280,462,019,465,155,921,165,746,578,226,
886,260,968,663,580,419,634,184,951,516,083,592,891,417,878,177,766,717,480,
577,067,234,802,775,495,906,650,486,788,504,801,806,837,676,436,008,108,331,
347,619,117,892,039,547,418,026,079,000,986,382,286,333,667,007,806,855,626,
394,091,147,704,310,574,545,916,289,165,986,529,981,281,249,387,596,394,833,
538,736,533,599,411,873,884,668,587,555,432,368,598,215,303,642,655,508,300,
084,563,419,967,670,715,110,149,548,020,278,483,808,466,687,509,394,877,669,
482,223,807,435,712,703,310,088,756,734,594,339,550,264,350,558,846,037,138,
782,349,182,001,446,257,516,832,659,837,532,871,017,595,393,990,582,773,070,
659,136,814,268,320,634,682,448,518,930,854,966,389,510,706,089,639,401,794,
111,306,509,353,770,722,977,403,442,509,974,974,014,697,929,309,374,584,779,
997,664,666,493,121,446,535,957,699,225,905,122,594,158,674,888,997,883,268,
758,148,576,240,429,481,371,664,949,481,156,026,012,247,034,640,015,956,937,
706,504,736,000,201,349,512,744,987,077,011,406,747,066,202,365,470,791,515,
726,656,966,579,193,841,220,749,910,122,419,636,915,157,040,550,311,372,311,
155,141,370,642,568,388,814,766,277,077,014,238,117,766,642,059,678,612,201,
149,473,815,655,406,018,453,914,723,316,199,789,038,037,950,486,122,450,696,
543,668,528,373,035,931,057,652,192,630,776,897,857,789,637,692,787,652,774,
616,053,191,232,649,085,334,801,776,658,605,825,038,500,480,842,572,528,735,
164,955,902,113,360,777,183,205,148,044,894,876,838,732,620,503,355,163,377,
886,631,136,965,630,675,847,524,213,104,249,169,027,370,082,466,029,693,694,
808,109,614,415,473,898,355,024,660,043,247,683,816,858,894,038,402,332,602,
537,840,311,086,565,234,367,870,333,080,087,300,947,111,440,601,870,257,571,
943,269,444,567,551,592,655,290,062,074,943,515,467,933,326,193,443,594,836,
932,918,121,867,203,220,633,315,729,200,597,102,937,401,263,958,038,421,204,
749,691,571,337,949,245,748,650,461,735,853,171,858,258,770,074,416,791,240,
148,705,962,886,746,294,441,444,829,559,761,831,487,944,816,814,002,803,474,
903,265,441,667,035,737,200,168,383,010,606,316,834,414,546,171,053,358,746,
016,411,906,078,255,245,830,676,682,163,309,008,394,222,155,188,524,274,937,
406,677,475,675,875,041,279,564,014,646,233,542,051,724,346,398,777,402,201,
084,163,992,600,802,688,659,183,569,328,437,033,456,722,498,722,492,095,367,
676,907,044,568,918,513,114,350,531,461,031,027,574,241,443,576,935,575,773,
272,276,002,137,122,554,043,126,723,819,414,827,890,363,925,736,604,052,664,
401,039,037,769,845,348,765,772,245,671,356,662,193,623,095,867,672,205,058,
987,496,091,015,989,206,868,076,200,512,983,792,593,663,805,349,020,701,318,
507,951,626,070,622,564,878,063,297,118,219,178,579,784,805,058,288,872,822,
864,229,303,560,916,518,297,054,940,461,297,670,907,490,290,957,783,124,301,
209,619,217,304,423,090,981,895,435,012,214,345,855,508,661,137,715,079,262,
857,818,677,921,633,159,629,210,405,073,111,914,960,183,496,276,710,686,547,
186,892,145,372,849,469,104,283,164,790,944,108,862,150,975,356,709,781,940,
668,280,324,559,763,767,488,826,747,674,849,422,884,280,271,470,915,790,620,
831,559,399,630,648,047,897,036,719,359,703,849,397,869,248,327,230,462,744,
062,769,820,154,736,363,546,987,675,528,987,690,149,217,254,689,650,510,787,
666,195,193,888,681,926,568,136,365,577,609,695,557,356,225,853,351,395,089,
257,734,397,043,893,990,951,063,988,821,591,210,113,717,437,434,750,195,826,
485,741,442,187,601,123,310,366,138,836,951,238,080,121,620,644,434,819,366,
825,484,907,472,761,622,834,176,654,861,837,020,145,137,385,684,770,675,616,
532,501,974,947,557,887,166,404,322,834,018,762,883,063,434,732,523,591,975,
204,982,380,160,066,132,278,764,281,455,951,482,195,515,870,631,563,489,720,
757,969,721,150,291,488,702,238,302,459,977,725,578,112,592,231,189,448,360,
395,523,692,493,377,582,818,610,832,669,424,732,060,859,310,171,100,583,781,
435,841,915,403,061,768,903,817,882,995,940,745,194,646,012,713,808,078,698,
919,346,507,005,247,515,189,056,850,037,495,576,849,152,782,878,949,137,085,
450,856,965,462,342,144,018,458,113,098,564,731,810,828,039,165,860,418,386,
208,476,586,476,332,270,095,694,305,942,889,094,897,440,508,060,133,559,832,
666,783,683,299,219,715,658,968,016,528,350,972,006,118,723,459,475,116,395,
770,453,420,793,582,448,307,194,362,753,842,560,386,948,414,101,359,010,259,
362,131,163,825,332,130,232,484,705,229,938,488,349,272,835,748,777,797,000,
735,945,093,318,746,186,216,903,606,377,817,835,749,169,493,815,063,382,494,
622,115,663,721,900,880,217,038,735,793,177,776,236,452,704,897,913,472,782,
000,955,298,901,130,270,157,720,988,241,455,296,676,324,331,813,443,358,232,
772,746,658,942,825,267,967,793,013,168,668,094,979,638,512,657,328,536,635,
571,156,772,848,909,647,109,314,143,024,325,589,456,905,812,379,576,219,060,
191,860,404,932,992,870,808,277,533,665,502,662,910,605,994,729,587,452,031,
342,109,274,893,235,069,704,117,782,008,200,768,327,373,063,822,308,624,651,
778,464,203,265,265,887,642,247,597,627,422,564,997,047,560,214,760,295,045,
819,515,421,622,504,939,186,343,881,388,107,534,917,703,057,234,690,688,077,
402,613,676,277,223,183,011,239,634,399,001,789,616,363,699,890,352,311,225,
988,355,948,668,227,909,043,905,564,055,264,765,501,409,815,320,102,490,614,
799,342,236,317,957,930,100,185,016,705,057,107,217,779,100,967,774,262,978,
030,399,472,628,327,834,114,152,367,165,749,240,890,481,235,389,187,335,095,
400,900,023,727,052,874,152,211,134,331,300,139,307,884,705,099,353,472,487,
533,800,026,703,153,287,037,247,363,240,887,057,445,478,740,180,821,222,135,
088,483,062,351,474,289,889,387,104,784,443,595,787,846,691,973,910,221,819,
743,182,511,864,221,879,272,430,708,882,224,293,579,778,215,907,221,732,505,
278,738,795,887,246,555,414,051,500,536,412,884,123,318,394,019,053,051,109,
340,972,710,561,652,210,265,289,257,311,384,001,091,523,706,450,243,254,818,
954,788,765,933,768,410,547,864,782,122,681,566,083,362,290,687,931,027,024,
227,056,385,323,618,294,458,063,105,240,447,507,731,092,965,925,690,501,372,
225,095,104,673,390,773,983,645,340,433,932,121,897,560,399,342,225,106,882,
097,232,883,833,146,105,332,659,420,852,959,067,497,611,636,796,531,684,817,
694,812,015,227,790,693,719,535,969,157,498,733,316,577,852,456,622,751,227,
501,414,017,640,089,938,696,118,646,349,591,655,122,751,031,461,496,683,277,
353,739,348,332,928,349,248,097,816,944,991,020,725,836,807,569,628,953,418,
945,420,791,716,132,085,505,789,944,538,462,969,765,919,758,027,662,488,832,
021,513,562,103,469,069,245,099,649,463,592,142,273,199,652,977,901,899,638,
010,186,688,038,615,677,619,801,096,268,451,093,767,636,097,235,080,472,416,
028,781,124,631,263,399,691,437,878,260,622,424,970,617,866,573,534,539,929,
238,356,052,058,620,368,539,004,045,740,441,193,157,367,792,213,322,217,605,
644,694,273,440,123,147,860,863,940,567,900,069,518,267,462,755,763,042,130,
980,240,286,640,295,580,052,771,726,765,425,568,362,118,973,218,567,208,105,
656,308,491,506,156,065,416,411,666,695,692,969,173,432,508,551,956,490,463,
877,756,415,603,025,346,495,745,219,182,482,048,576,578,927,740,134,216,326,
147,143,137,926,614,301,178,760,538,557,968,506,869,693,216,519,175,878,178,
449,717,940,007,605,131,910,075,619,739,359,392,731,993,103,076,869,521,837,
897,888,669,542,404,840,643,176,481,922,709,055,138,682,824,746,910,450,967,
854,878,513,222,751,275,363,642,967,363,015,733,690,479,622,867,790,563,679,
366,006,151,332,543,276,481,794,585,704,043,375,464,999,048,487,019,657,002,
655,175,936,554,586,636,759,497,879,425,540,899,412,068,406,234,996,664,214,
600,932,716,536,001,491,194,058,988,262,732,579,255,452,086,824,991,615,978,
275,659,622,103,813,171,432,848,662,214,571,349,132,543,707,081,234,639,335,
296,494,549,968,658,017,289,223,062,986,908,580,784,969,456,909,761,700,237,
072,448,562,012,284,094,916,892,166,232,523,693,270,189,024,436,293,078,178,
364,758,257,995,726,861,410,071,726,910,888,529,980,332,698,318,572,378,155,
499,411,719,911,641,091,483,206,179,353,224,817,290,742,922,610,131,358,702,
837,680,644,926,875,592,888,562,537,447,323,845,075,690,900,319,594,422,247,
000,164,079,521,393,912,606,441,780,300,240,312,211,304,605,258,723,857,302,
040,290,925,725,321,961,594,372,989,223,812,800,844,404,014,072,756,087,438,
677,014,565,199,433,514,522,219,343,364,395,427,241,652,811,781,250,146,360,
869,498,259,822,514,590,470,920,117,656,026,198,856,735,770,377,734,292,454,
577,771,771,778,025,947,650,267,043,308,417,967,214,555,602,545,448,038,736,
919,669,728,999,030,494,352,499,620,490,778,327,492,023,974,872,826,698,507,
139,302,417,954,296,171,307,660,476,242,020,403,277,582,859,474,119,021,163,
287,498,280,374,038,139,357,307,558,614,476,549,330,258,416,837,586,144,985,
556,621,616,538,507,367,245,182,376,190,272,906,167,735,139,567,865,447,691,
172,454,301,356,152,300,096,618,137,136,312,946,801,122,695,667,485,125,325,
699,881,660,533,670,997,686,214,968,040,073,883,770,945,291,236,017,196,140,
469,636,636,214,290,461,348,240,840,860,951,142,749,544,236,083,102,786,716,
920,798,877,974,768,198,801,597,767,617,169,161,534,272,461,168,122,048,891,
661,549,732,582,500,028,848,077,767,468,071,810,542,159,149,273,370,296,015,
476,981,382,499,469,970,250,089,692,634,210,823,205,462,794,604,026,059,560,
693,018,031,307,450,505,429,026,962,534,802,599,879,790,030,126,271,133,920,
498,612,595,174,661,512,038,969,328,139,286,328,886,810,227,032,262,825,317,
053,982,283,349,539,889,171,260,403,725,117,927,651,289,768,850,276,874,680,
974,753,276,118,643,326,864,595,992,145,856,183,094,073,590,161,438,698,918,
318,214,429,664,665,437,018,312,378,634,300,117,134,663,907,043,304,907,312,
528,781,769,086,457,132,529,202,045,955,433,946,483,318,506,046,877,844,722,
392,973,055,537,512,502,132,155,465,242,248,435,439,582,431,671,975,334,203,
881,318,853,320,458,904,083,250,674,197,783,961,617,970,211,018,196,006,734,
529,853,385,116,425,745,261,137,989,729,042,243,294,935,629,148,360,326,601,
483,003,525,083,134,882,173,030,557,224,821,592,042,779,243,748,557,853,580,
857,643,759,373,175,960,301,168,130,323,089,307,512,255,882,438,944,533,229,
558,700,191,149,674,078,016,423,077,801,929,052,059,043,714,626,458,803,059,
557,022,700,206,793,645,706,443,131,892,178,009,214,801,770,857,471,638,240,
880,501,736,886,030,565,243,961,107,845,719,404,260,467,816,588,401,084,177,
728,120,951,760,867,546,319,272,477,451,850,237,168,545,115,164,453,538,213,
433,559,257,033,214,947,264,508,848,091,562,703,406,987,784,698,538,967,767,
036,569,609,700,737,729,297,332,637,003,864,406,721,800,158,162,478,203,804,
633,025,323,609,714,932,309,275,350,922,192,502,751,072,664,088,355,595,697,
363,778,648,679,598,413,162,118,649,057,503,134,109,662,123,904,908,177,915,
726,269,976,489,512,426,163,328,534,734,106,414,896,343,093,374,762,839,457,
145,420,901,823,165,377,273,466,288,883,890,250,834,034,885,715,555,909,846,
105,057,531,095,717,908,397,415,003,438,457,091,747,105,393,724,023,708,179,
890,223,320,884,088,086,627,905,451,423,109,180,752,914,277,489,624,478,441,
403,243,045,296,255,695,762,171,975,128,432,104,787,393,081,749,264,677,918,
951,335,119,232,832,142,600,609,776,758,192,161,300,704,457,447,894,754,554,
070,119,481,765,207,977,891,479,030,123,793,707,297,851,447,715,502,113,901,
470,775,485,065,535,933,597,259,545,162,549,939,113,823,510,338,703,316,116,
626,917,251,548,507,238,187,498,502,316,211,676,696,582,192,511,887,451,602,
130,864,819,948,816,350,970,913,770,633,423,362,859,586,372,238,652,524,184,
718,913,874,810,159,809,016,227,770,268,870,735,484,082,212,228,751,780,305,
828,084,952,686,784,774,770,789,325,603,113,516,506,798,552,476,009,231,830,
278,071,103,345,168,165,074,974,572,582,555,565,065,424,159,942,586,301,768,
848,553,020,262,822,185,509,678,782,613,828,545,710,029,945,081,825,491,602,
260,759,684,012,940,355,103,046,581,479,376,906,117,833,676,801,806,222,849,
320,477,475,760,495,041,172,520,957,187,935,075,655,027,990,629,106,475,566,
300,620,911,289,544,926,635,222,396,665,237,042,164,491,889,835,764,667,790,
391,055,210,235,687,284,037,543,286,004,790,681,628,235,940,399,114,104,875,
205,444,688,630,956,677,095,403,166,826,205,647,020,823,965,415,901,677,155,
028,113,970,019,213,560,322,020,201,822,895,910,623,274,858,282,891,460,589,
358,828,958,301,034,068,604,089,780,625,669,777,494,680,260,949,643,326,794,
125,792,372,555,861,612,964,076,721,019,546,620,983,875,655,561,891,365,705,
101,033,438,370,002,831,760,637,798,094,257,102,354,219,605,720,837,686,071,
754,411,542,984,476,843,499,192,138,175,785,918,360,255,847,306,855,296,083,
609,584,011,464,307,372,240,483,869,809,734,703,912,812,519,711,137,984,163,
069,877,710,865,731,990,175,547,689,928,598,510,711,325,394,531,444,015,527,
815,760,800,045,951,999,035,565,459,237,784,708,112,685,304,873,407,131,809,
629,276,283,778,795,756,027,393,203,431,690,765,881,058,877,861,994,156,280,
031,833,117,402,857,935,169,237,564,220,486,107,085,759,329,499,726,693,212,
397,500,465,555,572,467,968,917,266,626,505,164,798,454,429,523,649,193,016,
957,940,437,614,873,831,510,266,374,798,317,166,539,794,102,683,761,932,100,
059,872,012,046,022,561,340,277,895,743,396,752,060,799,442,163,287,876,231,
065,422,327,151,382,761,691,449,081,907,859,461,053,876,895,611,630,054,033,
669,698,135,655,996,033,594,630,530,573,978,349,642,207,587,672,435,815,881,
440,445,255,996,262,745,472,875,053,394,711,015,032,234,837,559,963,974,354,
095,540,467,856,018,469,504,573,002,688,261,378,974,265,203,014,907,632,369,
463,487,571,595,557,322,087,741,695,383,355,913,099,014,741,513,850,808,050,
114,171,664,685,819,024,505,425,304,203,409,362,812,486,376,498,359,422,852,
494,409,225,040,850,511,736,314,233,807,387,161,122,563,176,695,878,721,970,
456,590,131,081,329,882,748,640,634,281,897,421,832,372,719,427,748,213,269,
734,225,392,018,009,730,915,239,287,672,575,466,716,819,751,578,243,278,232,
769,643,150,024,837,230,952,110,572,116,175,778,456,655,058,714,036,918,456,
735,446,008,933,073,612,505,919,700,500,384,268,874,937,742,444,804,126,101,
273,259,646,437,489,760,782,050,630,045,112,582,958,821,448,193,577,718,357,
722,190,261,952,854,486,887,040,784,118,746,061,020,553,414,378,532,526,016,
133,130,754,307,060,171,871,632,602,378,131,795,832,780,124,167,478,474,334,
285,238,845,681,381,359,900,997,352,789,843,589,719,207,809,739,271,928,135,
044,787,360,361,337,443,832,673,706,642,597,191,666,586,308,278,950,442,602,
532,573,325,852,526,099,187,231,242,012,149,814,311,537,647,715,836,577,192,
906,267,500,585,880,201,243,245,940,798,933,974,174,257,425,467,565,973,921,
140,196,916,689,568,741,614,587,968,488,946,410,610,257,197,706,825,595,530,
843,498,039,338,999,819,067,516,497,753,829,079,807,717,310,135,207,862,075,
596,229,182,914,637,798,240,735,575,125,749,238,343,417,532,181,328,277,330,
249,777,987,491,172,194,085,303,018,153,159,494,825,518,302,222,106,713,063,
185,553,100,408,783,531,249,609,994,664,507,864,603,458,939,396,342,641,057,
167,634,897,524,938,009,211,562,342,236,502,187,641,279,364,348,941,692,109,
714,726,115,842,020,160,786,501,731,721,869,864,768,832,566,873,808,771,281,
478,135,626,084,428,103,450,745,072,967,510,901,345,793,688,079,077,168,803,
373,306,655,583,470,480,549,646,295,695,408,126,473,459,875,655,464,594,337,
608,503,452,002,008,459,516,275,924,268,060,654,554,445,472,749,189,732,036,
175,674,589,149,015,826,148,036,970,919,477,276,949,074,331,073,599,021,502,
495,390,211,271,441,158,475,354,054,812,282,272,456,403,995,039,519,473,738,
713,615,300,986,913,102,328,145,661,870,049,980,406,722,228,291,619,067,831,
572,586,370,621,517,440,500,952,501,464,281,628,416,474,654,082,302,675,063,
356,810,430,610,942,771,854,696,862,548,485,840,059,518,309,202,188,347,521,
811,953,038,927,268,839,478,028,358,147,298,147,050,316,682,581,851,775,846,
098,304,954,342,092,232,037,570,903,729,215,942,816,251,764,922,491,028,401,
685,520,248,051,112,432,546,316,100,146,672,507,916,695,326,063,739,242,038,
772,347,299,154,116,629,019,099,412,455,249,052,187,368,619,947,363,213,983,
716,684,250,344,381,232,570,585,153,762,088,487,679,533,695,666,646,166,489,
533,133,875,765,265,022,542,161,583,443,793,181,616,912,552,375,114,669,981,
121,425,646,525,567,245,920,125,219,344,566,151,005,117,146,419,429,719,434,
551,468,199,800,628,676,970,999,617,418,314,540,635,884,934,175,280,079,347,
283,879,834,961,654,864,067,158,409,168,485,073,933,319,132,867,152,191,833,
680,399,726,067,689,677,618,631,290,318,086,991,187,511,933,051,052,351,364,
683,571,996,332,717,257,003,433,811,565,807,830,577,635,772,581,905,042,106,
006,239,977,238,929,854,881,790,465,374,797,273,611,045,860,306,162,192,826,
912,492,400,920,349,022,571,213,755,917,762,100,547,597,819,705,148,724,446,
363,993,217,094,195,392,169,157,685,491,183,631,938,271,875,772,928,276,743,
324,255,646,501,705,673,678,233,646,742,089,143,524,955,709,573,501,878,172,
792,366,195,872,441,518,810,114,262,020,308,483,348,154,183,855,015,319,593,
674,887,987,745,493,899,134,307,376,939,393,544,085,825,351,842,464,988,944,
818,093,413,221,348,489,908,987,713,337,431,442,395,327,983,028,792,273,233,
986,087,228,886,202,456,472,576,471,963,209,045,238,831,950,511,879,768,699,
200,817,601,022,948,816,366,212,008,691,691,454,237,469,523,972,182,099,638,
381,660,293,905,970,380,010,512,027,284,139,413,601,829,538,041,668,728,949,
608,723,697,330,548,690,866,598,651,409,996,285,037,336,429,908,299,573,595,
100,667,001,899,753,605,728,709,118,182,601,106,762,092,840,553,588,176,418,
037,867,151,856,737,386,013,967,738,891,956,269,128,095,816,257,667,769,928,
452,601,682,635,960,518,428,722,339,967,676,436,431,272,404,216,871,695,969,
004,400,999,473,022,845,755,975,683,323,444,325,079,617,177,992,836,252,880,
272,231,285,525,440,150,560,359,795,438,765,968,186,835,007,698,384,538,576,
980,296,843,479,041,328,107,525,868,451,004,987,571,395,623,772,672,687,153,
920,232,491,673,537,558,508,354,543,424,607,860,536,953,438,044,552,853,506,
666,421,690,898,199,357,182,052,148,960,103,837,713,530,229,723,201,687,581,
083,356,620,973,573,554,507,786,238,157,605,437,422,885,269,859,174,889,757,
784,520,237,442,817,994,841,974,642,758,924,243,644,735,748,706,156,528,906,
797,198,207,609,487,550,774,514,091,993,065,523,023,381,158,466,967,942,281,
988,993,478,814,119,464,779,133,066,212,566,912,332,470,129,135,873,270,923,
634,078,143,239,608,881,580,484,782,371,876,973,613,205,079,256,331,371,111,
391,946,422,802,027,088,083,370,644,033,444,198,622,822,833,864,005,029,545,
935,752,372,521,313,283,944,085,361,906,938,872,103,503,902,212,863,623,737,
405,506,425,509,820,702,367,873,468,868,393,731,537,372,698,423,387,178,562,
373,499,277,904,297,320,131,816,245,917,600,556,667,584,029,348,937,071,891,
635,509,402,146,542,236,328,422,762,603,191,535,801,796,071,789,553,040,817,
901,632,503,829,250,647,055,712,433,403,803,806,915,380,825,158,932,657,367,
715,412,521,061,101,157,796,474,665,938,336,525,759,639,049,766,956,506,913,
538,141,431,458,843,585,623,400,174,925,083,798,816,022,334,267,403,078,956,
363,177,001,273,565,379,520,553,830,893,513,852,667,279,123,801,007,378,274,
636,127,806,755,920,550,849,700,363,238,178,573,049,957,986,385,696,786,700,
065,827,754,484,974,499,302,201,392,936,663,729,963,926,820,365,453,963,269,
604,627,269,003,160,995,515,280,383,307,643,949,611,743,607,498,736,064,771,
306,585,496,058,219,367,435,001,411,472,092,216,911,812,271,935,748,642,499,
687,326,863,450,743,908,252,692,020,683,829,915,971,607,578,174,537,757,514,
959,904,091,565,059,242,652,894,411,879,885,850,097,492,394,487,564,857,799,
744,080,065,524,365,019,710,291,141,068,452,105,070,413,455,996,345,431,149,
283,930,622,702,609,466,585,377,325,578,196,789,947,604,881,023,277,561,420,
394,668,793,700,901,537,022,433,634,648,970,516,996,157,966,291,708,210,567,
600,451,920,330,743,859,812,996,265,364,671,006,263,705,379,157,271,225,627,
437,673,602,597,367,194,957,924,002,543,674,929,677,794,181,722,995,207,007,
420,224,062,540,433,487,844,402,393,285,118,097,390,967,419,634,361,733,587,
042,829,747,719,960,893,997,741,891,449,016,302,170,913,266,102,542,239,175,
039,370,687,093,517,425,018,314,695,366,466,370,849,400,770,481,357,642,853,
464,885,150,004,975,952,133,534,377,404,377,739,897,338,620,113,793,448,145,
466,885,400,562,100,866,474,556,921,869,874,673,531,273,543,443,203,334,261,
313,782,122,776,761,815,466,756,524,722,033,423,004,002,171,737,791,900,807,
833,067,586,259,120,491,795,997,892,697,521,939,173,829,597,161,146,468,586,
520,732,456,522,162,699,249,665,044,210,347,802,496,336,398,305,765,969,441,
235,420,157,703,031,567,972,382,654,523,849,675,573,487,229,319,391,101,528,
536,836,339,156,837,766,232,303,528,013,444,838,981,974,817,504,596,889,389,
656,366,977,338,423,081,077,394,679,189,876,674,389,400,352,888,321,128,588,
299,157,666,182,310,522,941,256,087,587,516,819,976,671,893,636,663,356,732,
722,045,478,399,927,498,822,530,655,973,938,155,532,689,880,870,518,274,571,
379,331,902,210,866,378,571,365,385,198,380,482,756,618,398,317,720,396,263,
541,421,642,945,186,031,710,947,127,753,412,719,045,598,204,196,101,271,776,
925,693,892,085,717,128,353,838,671,698,317,730,729,602,516,299,005,642,899,
274,251,522,874,620,177,842,275,675,944,203,144,287,015,915,408,607,338,325,
471,104,871,478,534,937,897,790,721,978,109,218,128,730,822,163,012,865,926,
370,739,020,575,894,114,832,208,280,817,637,806,286,908,919,768,286,911,660,
029,739,689,605,422,366,937,820,240,815,685,529,579,554,804,686,840,896,105,
102,336,950,804,033,015,155,018,774,922,999,935,735,803,954,879,410,579,981,
680,957,437,234,384,770,117,661,547,604,224,145,645,435,474,656,114,118,296,
500,968,705,207,307,844,056,628,273,284,764,443,898,246,748,418,358,717,540,
721,445,104,770,140,279,984,729,333,743,119,291,707,162,960,396,166,164,219,
377,717,534,446,252,717,135,972,534,363,422,822,375,097,387,835,980,018,851,
885,088,851,720,173,941,436,646,269,996,016,971,998,970,541,599,881,253,246,
764,262,067,646,925,211,677,968,112,839,866,445,831,604,022,585,334,788,622,
535,196,230,054,819,072,207,414,173,695,441,301,893,320,358,575,220,125,340,
946,079,294,276,972,871,820,482,797,364,102,524,172,043,918,603,347,107,557,
352,322,174,471,758,953,124,529,375,995,267,910,317,854,016,736,084,146,862,
065,574,041,929,962,614,048,479,956,419,213,984,382,085,360,898,693,280,477,
155,644,211,500,613,053,864,067,684,061,160,246,723,670,995,763,607,210,934,
504,568,579,737,800,212,145,046,260,617,743,788,491,347,422,748,972,284,817,
254,792,790,322,489,053,916,278,361,897,575,324,836,228,303,496,527,658,306,
516,669,869,090,698,494,938,822,377,963,255,169,361,602,986,038,055,417,097,
034,738,281,777,996,975,541,881,037,736,054,634,727,692,098,384,054,383,760,
354,420,627,313,744,027,812,287,049,697,140,933,201,396,011,038,111,111,301,
411,764,599,638,976,265,327,852,124,656,235,410,874,729,441,079,953,641,957,
894,413,635,974,879,485,604,192,059,112,041,705,678,318,890,624,227,281,541,
153,820,105,483,135,499,188,372,213,758,537,673,275,794,581,750,249,465,791,
380,902,153,684,303,912,163,294,653,269,615,914,836,971,888,492,490,168,500,
290,848,795,277,562,458,667,284,925,099,781,236,097,371,737,528,298,187,408,
791,769,972,155,349,484,412,655,783,178,819,332,559,873,475,077,148,510,305,
769,481,345,008,110,955,725,803,568,912,088,755,255,523,750,945,572,006,360,
687,006,961,294,053,467,214,387,517,079,841,248,487,876,191,327,259,474,422,
269,045,353,115,661,871,825,351,860,876,136,974,068,540,433,613,301,787,354,
289,077,922,449,425,103,576,539,119,757,353,387,456,551,072,167,108,517,256,
285,323,160,257,685,798,953,279,754,441,566,575,215,717,182,669,648,517,188,
262,906,235,986,223,754,878,693,178,706,992,969,330,695,267,717,754,173,777,
020,184,099,498,841,752,476,477,625,053,480,566,668,360,056,735,526,488,670,
394,066,565,243,999,395,643,093,233,567,330,443,995,010,216,616,666,302,135,
045,933,843,566,469,550,979,779,584,557,097,524,123,990,135,375,408,982,469,
269,241,838,503,389,797,725,624,992,913,481,444,874,242,703,059,183,201,223,
919,219,374,490,526,379,456,027,802,425,467,415,742,709,854,995,322,183,512,
676,544,433,865,913,342,889,863,186,738,606,700,784,797,106,372,508,650,661,
459,083,893,191,449,220,610,717,520,287,798,496,938,990,668,332,073,629,615,
754,233,055,710,470,335,219,354,315,869,950,187,013,246,328,110,425,085,392,
022,172,267,631,987,765,512,423,561,563,546,125,715,774,433,908,150,651,947,
824,103,310,451,893,370,557,547,397,656,715,444,304,844,186,753,708,829,088,
421,873,885,397,428,761,446,095,782,732,293,413,999,227,705,499,626,031,560,
265,201,181,623,326,457,226,692,707,748,485,512,807,551,886,192,300,384,867,
440,356,291,047,552,087,026,526,042,131,559,498,489,602,871,463,053,499,996,
365,008,502,465,965,430,811,160,745,719,148,453,218,247,596,221,368,998,359,
862,799,895,833,880,391,322,598,984,489,823,184,377,009,071,024,225,252,394,
342,977,251,078,217,595,614,653,141,275,539,607,730,450,237,159,823,781,653,
504,481,436,384,375,759,146,548,539,907,305,344,896,599,650,172,269,152,009,
865,948,788,499,584,895,464,686,425,229,342,624,650,433,283,055,071,716,044,
351,834,697,619,765,602,841,247,566,973,513,407,055,566,649,059,187,981,069,
016,672,927,944,033,926,050,496,028,393,986,229,974,337,655,012,398,490,649,
671,614,409,481,937,633,148,419,458,916,366,172,967,232,610,491,477,355,124,
751,511,286,765,825,388,688,965,327,198,740,757,076,999,285,716,872,630,338,
830,385,745,286,542,648,428,687,969,974,484,119,787,112,999,823,106,348,882,
023,151,843,906,703,759,843,638,087,236,110,148,130,897,455,128,289,990,582,
829,005,167,551,568,876,295,294,144,892,761,946,900,323,706,126,905,021,597,
659,845,410,970,733,664,653,693,040,223,913,049,164,412,876,171,318,392,732,
319,683,789,969,077,029,845,085,040,736,362,354,744,505,567,681,893,689,556,
378,831,733,343,931,253,972,555,968,734,104,582,144,986,795,945,085,646,038,
753,475,988,557,373,648,828,995,772,683,146,930,567,142,248,211,809,957,683,
885,108,740,769,332,285,610,316,162,457,408,739,528,852,993,375,186,321,883,
878,297,112,611,291,664,781,985,451,172,169,906,952,321,606,701,602,572,368,
177,259,835,838,098,059,499,299,440,501,473,759,985,185,950,245,224,792,757,
504,005,791,637,535,865,385,195,685,614,042,917,562,158,645,307,940,877,919,
436,403,878,892,956,288,413,489,052,351,047,388,332,080,568,426,120,435,997,
976,471,152,839,385,071,808,578,970,044,827,511,163,550,437,411,151,139,010,
823,152,536,867,593,396,454,264,479,056,478,288,785,332,906,484,406,940,158,
653,291,950,808,424,209,102,405,752,748,588,360,451,453,945,315,069,699,917,
511,359,203,416,244,620,880,896,951,639,998,584,711,651,189,494,676,799,717,
957,570,066,001,405,730,239,054,133,116,635,581,013,111,756,915,164,815,004,
033,885,085,846,613,363,443,323,512,441,736,386,815,583,999,562,218,111,373,
342,598,380,923,562,845,189,279,943,739,187,319,921,367,757,427,208,725,295,
196,904,364,844,759,475,825,176,652,707,800,717,586,880,814,942,515,138,541,
888,756,290,703,814,976,699,855,824,134,373,814,850,836,841,409,860,471,063,
437,246,012,557,031,230,520,694,185,399,133,364,264,637,981,186,223,751,159,
890,691,087,570,611,551,281,939,874,894,929,292,280,215,633,272,843,069,195,
406,162,299,021,799,976,711,697,401,810,004,901,048,357,683,201,252,765,251,
300,652,942,559,421,919,246,042,004,946,603,594,861,637,804,593,169,900,161,
378,826,491,520,494,417,887,771,501,000,947,403,369,014,480,732,971,050,449,
768,760,928,658,929,792,766,684,608,235,039,420,920,140,873,561,056,994,726,
532,429,214,108,076,593,309,864,180,726,252,585,195,084,539,398,184,230,429,
703,578,264,368,713,704,172,979,331,599,777,224,958,818,559,987,259,823,225,
606,640,775,408,845,023,335,662,286,836,467,583,080,241,356,163,500,593,195,
166,084,994,173,987,181,159,127,303,813,213,364,632,665,843,885,872,731,557,
681,350,398,307,054,195,269,066,031,991,312,706,842,147,359,214,638,168,246,
037,507,088,616,276,664,468,796,019,154,176,833,927,488,323,715,160,135,143,
140,454,112,970,281,499,409,787,145,618,728,212,936,191,378,198,340,881,571,
036,212,939,694,101,237,917,219,202,776,674,650,720,561,477,271,721,020,415,
367,247,420,045,692,917,501,567,313,792,591,020,609,513,104,189,226,864,339,
523,099,257,707,689,544,654,083,372,236,206,869,069,371,501,366,228,330,149,
881,679,489,935,534,822,410,935,801,616,175,672,243,146,824,276,377,345,581,
796,769,402,674,834,511,778,123,987,381,549,761,331,246,306,280,714,952,606,
109,718,770,964,562,069,313,055,015,715,854,037,286,228,474,841,983,057,116,
091,807,211,783,930,963,345,442,378,245,266,056,050,613,963,480,757,987,690,
617,650,001,996,816,239,999,978,821,162,879,040,363,476,388,147,430,891,227,
692,227,479,181,581,261,639,619,643,099,120,143,482,039,010,709,636,582,970,
277,896,673,894,239,581,721,436,891,791,885,776,730,312,282,655,881,479,430,
488,452,261,391,604,339,898,705,531,153,316,910,748,054,040,635,338,953,273,
433,887,358,125,737,482,530,780,603,147,408,984,213,631,777,428,197,481,060,
144,689,978,821,913,432,126,677,080,243,015,280,307,428,951,430,766,969,415,
032,054,680,140,826,244,113,086,019,231,550,910,826,198,191,097,811,917,179,
839,907,697,685,586,995,158,250,590,187,827,807,654,112,644,189,869,766,621,
287,873,940,985,272,710,488,607,239,947,943,837,390,971,303,085,631,513,195,
907,791,659,175,284,129,214,495,385,057,111,716,427,089,432,552,670,528,298,
904,153,544,903,370,885,151,651,230,612,359,090,357,616,132,004,077,132,477,
025,483,930,244,088,924,423,739,557,041,261,865,465,349,510,039,629,739,453,
096,805,987,112,127,781,345,136,426,681,827,507,392,493,197,222,994,342,220,
883,205,733,188,366,927,319,178,068,209,650,076,713,794,444,566,555,817,160,
695,086,726,625,588,760,191,134,951,317,222,146,788,703,257,024,324,765,427,
770,933,867,001,293,125,690,158,984,265,443,728,444,631,121,564,661,122,599,
565,467,823,664,112,068,729,817,927,087,101,960,497,690,014,959,079,958,330,
731,201,075,741,267,145,888,374,595,704,784,857,152,479,577,052,479,745,762,
684,642,355,435,108,628,061,927,540,166,535,745,987,709,295,425,964,146,632,
909,488,324,538,833,520,658,016,220,299,593,922,707,119,238,924,384,310,769,
366,166,938,432,134,161,138,250,333,070,432,011,126,594,283,459,004,977,240,
451,747,079,694,587,493,868,380,579,366,866,243,153,232,995,345,888,596,616,
882,719,070,303,981,121,879,855,688,581,767,866,912,695,838,984,056,159,597,
690,254,278,460,028,431,153,012,997,628,803,492,702,057,284,958,844,765,802,
811,494,786,403,307,873,703,350,701,371,406,672,479,855,131,248,764,907,103,
420,808,942,246,921,989,024,647,486,964,491,028,085,737,357,939,124,542,202,
314,067,860,106,225,037,377,185,064,550,563,908,343,697,376,741,403,084,447,
809,087,870,922,106,918,417,748,428,155,993,732,405,501,642,493,619,232,378,
875,002,210,274,814,908,947,493,782,879,178,260,316,264,703,969,996,147,997,
578,087,576,546,258,387,324,969,602,142,710,263,369,782,519,633,771,517,385,
171,036,822,072,458,093,974,425,862,884,461,601,731,774,218,413,085,749,793,
436,887,324,403,378,126,603,832,517,291,804,463,644,190,773,665,869,536,898,
923,235,439,332,562,966,145,029,388,018,539,042,314,300,034,422,608,830,946,
281,150,767,632,945,765,937,625,224,592,915,781,711,300,914,943,208,838,249,
662,719,452,920,889,441,921,018,647,765,962,414,816,415,429,882,964,787,527,
957,860,230,928,000,053,429,652,488,005,428,738,373,561,077,448,539,025,393,
964,325,596,442,181,145,834,055,218,901,805,467,278,860,214,314,051,466,140,
846,644,417,925,422,571,968,846,353,414,644,937,948,171,630,298,841,250,775,
024,379,196,430,718,465,267,200,182,315,334,727,661,816,669,151,399,892,502,
592,157,535,035,924,283,206,418,685,715,797,638,643,902,911,683,542,566,211,
822,406,887,795,159,463,648,804,527,293,257,867,314,281,705,813,190,244,848,
781,800,128,732,547,231,626,980,517,174,607,684,722,815,319,442,990,742,804,
005,196,630,830,876,639,235,246,816,491,300,505,919,690,433,148,440,262,576,
475,403,750,546,249,358,602,781,985,872,940,522,161,000,822,684,092,052,257,
112,874,088,016,455,296,655,819,836,305,463,312,583,546,653,606,692,408,159,
370,450,928,742,485,964,388,158,532,440,177,106,249,023,640,369,066,502,007,
387,339,312,619,172,828,159,598,228,552,529,566,253,393,799,102,435,327,183,
143,869,861,211,864,893,687,522,063,531,582,384,126,737,699,352,860,580,033,
070,821,838,935,257,465,384,493,678,703,453,583,534,903,863,686,045,554,670,
198,402,560,573,856,049,362,950,918,737,290,500,463,210,040,071,679,789,319,
747,789,790,222,053,673,976,799,914,245,698,689,973,255,884,723,317,016,737,
641,445,995,112,899,285,262,840,906,337,582,064,332,603,785,401,841,207,952,
356,032,387,739,752,679,330,767,281,539,650,823,601,816,150,914,770,128,037,
841,344,746,655,888,069,216,743,747,610,664,844,570,917,409,900,343,894,008,
520,357,823,291,694,150,659,141,575,369,156,399,676,984,132,418,180,917,721,
104,976,211,314,233,710,372,310,928,862,167,149,331,260,946,432,948,198,181,
137,681,430,914,967,272,902,124,071,842,690,351,273,421,251,723,473,833,627,
059,780,343,616,278,382,046,378,583,478,660,540,004,587,313,790,626,279,330,
463,448,429,669,768,282,312,916,806,693,146,804,524,429,313,847,175,309,093,
646,415,547,365,994,824,495,102,815,129,405,910,010,459,767,504,579,961,242,
624,087,336,113,973,974,963,279,237,374,018,461,076,299,707,995,652,234,645,
839,710,467,545,850,939,322,573,883,590,892,971,929,811,777,404,297,103,716,
813,215,407,321,393,229,569,912,874,939,377,557,649,257,412,737,473,455,944,
377,615,417,846,878,759,891,473,815,189,860,875,057,472,963,859,347,050,074,
722,868,316,371,561,089,303,866,844,275,642,437,889,035,863,202,320,572,085,
717,332,292,585,794,130,619,431,040,596,032,967,897,533,880,772,419,709,035,
891,015,894,535,772,931,804,017,704,409,781,009,047,958,584,616,335,905,209,
068,646,861,288,859,031,850,963,637,312,444,051,622,309,884,940,238,402,087,
019,288,891,536,794,377,058,266,405,889,185,557,503,785,599,076,031,162,904,
373,259,210,398,485,321,066,082,448,509,495,837,919,937,613,461,677,445,016,
398,770,767,321,640,748,226,405,970,450,455,668,098,506,262,272,514,839,099,
402,107,513,816,737,779,947,981,686,261,569,887,040,680,409,993,425,517,298,
165,287,349,223,240,758,256,209,343,456,205,782,352,520,758,062,853,446,464,
927,773,713,135,479,672,925,133,036,332,755,444,941,249,277,249,391,183,300,
694,229,355,365,733,772,004,239,105,718,620,303,612,735,114,698,232,835,425,
942,846,601,705,216,030,199,254,528,033,306,158,661,473,463,470,142,948,212,
057,011,569,719,009,745,008,815,439,376,320,740,066,163,922,010,702,884,216,
862,602,370,232,471,070,788,736,852,183,859,998,819,289,482,078,981,109,167,
283,679,253,144,477,606,642,820,388,034,977,016,104,799,718,462,065,063,071,
854,328,132,169,598,818,581,598,515,570,880,434,771,816,916,849,940,816,775,
603,377,381,125,050,661,858,082,480,393,762,743,938,825,786,943,092,261,152,
330,265,272,091,801,293,028,008,629,647,909,746,067,925,380,782,307,146,242,
550,517,307,793,085,133,891,050,119,852,864,635,672,710,458,133,221,014,373,
356,783,809,111,011,446,891,890,116,734,488,149,993,114,770,690,575,637,115,
070,193,463,116,724,634,165,695,002,673,332,955,991,345,082,730,305,906,832,
887,886,967,934,361,899,132,612,831,848,515,040,990,132,718,517,980,980,351,
774,702,604,191,347,940,211,028,647,856,290,707,264,921,498,650,442,754,229,
962,755,297,216,054,916,010,343,721,188,941,660,696,806,189,431,602,168,777,
127,306,429,987,217,805,840,495,059,120,622,161,630,069,446,755,845,097,558,
983,565,060,783,802,312,754,556,463,861,501,528,827,569,679,215,970,732,196,
605,140,395,805,117,426,220,622,883,958,831,877,476,300,713,188,898,183,175,
733,914,981,132,373,874,983,308,235,709,958,135,355,845,889,859,030,814,992,
784,665,372,517,096,067,745,561,721,066,343,822,822,938,861,812,936,628,962,
382,894,399,144,508,698,155,522,789,384,778,018,719,201,921,826,140,391,472,
664,065,345,436,347,819,694,821,969,263,135,736,591,241,890,063,786,863,617,
789,623,171,855,661,705,462,642,592,389,842,762,682,899,037,459,736,606,480,
123,084,658,014,993,732,909,501,386,114,604,386,491,591,358,606,498,234,174,
981,435,203,026,626,770,434,574,226,226,007,310,599,782,569,697,775,626,964,
049,610,033,769,291,488,104,585,716,931,885,717,036,586,525,901,462,785,077,
564,706,897,751,243,146,351,659,860,990,314,083,196,583,004,295,166,984,975,
857,247,837,673,792,209,632,603,814,525,619,204,133,666,929,842,030,096,463,
188,050,216,104,157,006,237,756,030,271,388,013,729,121,704,351,834,052,115,
865,993,212,246,163,158,068,405,590,104,573,609,587,704,748,055,652,740,894,
051,419,637,677,381,137,110,619,800,411,706,630,476,576,067,037,773,432,435,
570,517,617,104,014,436,751,984,798,135,388,947,495,549,048,159,509,678,285,
236,130,778,500,861,608,086,521,255,400,978,190,052,448,578,528,709,038,128,
910,269,203,250,325,809,961,057,304,088,739,094,808,757,584,404,171,320,083,
225,401,273,711,282,116,407,410,602,797,132,588,746,043,245,154,478,416,589,
748,500,745,648,258,330,420,604,007,563,803,479,266,601,627,191,108,917,608,
025,598,975,754,156,214,950,594,962,301,463,741,875,448,933,505,723,927,379,
138,099,661,489,741,031,557,936,976,996,975,810,733,217,376,370,675,305,595,
521,735,092,531,245,374,600,872,209,061,146,469,650,264,914,041,957,749,715,
298,735,792,034,322,951,330,378,775,533,498,998,632,353,172,749,263,423,026,
755,721,115,001,192,467,603,848,378,769,464,556,265,596,734,499,569,079,759,
785,066,551,708,696,605,062,118,098,630,845,499,011,120,658,292,889,549,190,
897,980,293,889,900,881,380,495,667,009,485,736,934,354,191,197,274,792,476,
797,448,390,253,136,787,764,125,769,619,632,863,131,975,302,448,490,058,128,
453,545,100,351,593,335,794,818,917,515,025,943,737,836,644,541,363,406,700,
166,776,633,899,848,195,374,759,401,334,028,268,471,523,020,244,852,661,869,
037,419,326,597,287,059,098,691,520,730,657,281,317,830,110,156,005,999,590,
378,448,980,026,480,152,076,680,773,671,547,787,698,884,498,894,239,537,114,
620,107,286,605,936,389,264,223,951,985,080,845,714,778,989,576,004,965,580,
604,475,249,079,267,746,910,800,997,531,486,292,173,622,569,319,762,098,234,
905,312,887,496,591,901,563,188,449,600,059,040,255,017,920,003,857,802,589,
065,033,586,725,366,999,025,946,881,216,465,996,926,273,982,189,775,284,845,
122,195,987,856,731,204,409,633,770,376,766,247,056,616,124,003,164,835,452,
203,777,359,666,076,893,992,406,375,567,386,651,447,800,272,554,802,591,079,
047,249,913,751,761,505,737,986,716,860,612,454,958,415,263,450,092,099,276,
194,437,946,720,805,700,198,733,203,641,006,750,302,586,917,175,704,064,080,
834,929,539,376,968,376,373,537,587,790,373,309,146,412,115,729,714,185,922,
726,891,530,021,984,076,021,038,110,364,216,486,151,524,134,107,310,412,532,
708,422,021,554,236,726,676,998,219,186,571,317,227,582,992,045,976,577,584,
894,310,748,022,938,991,320,314,654,287,860,971,302,018,895,369,006,650,998,
313,081,029,688,625,943,243,770,563,782,488,062,586,138,455,359,994,361,282,
769,026,580,448,031,892,155,425,458,091,200,102,510,115,473,920,991,388,471,
895,281,628,145,856,421,471,297,231,543,921,244,960,018,073,438,469,819,982,
187,629,740,150,632,300,584,543,816,102,957,497,495,645,656,343,649,485,928,
600,194,046,436,303,189,192,689,862,935,717,551,922,597,088,349,753,598,962,
437,591,461,936,211,361,701,636,605,912,755,757,526,689,108,459,646,416,569,
801,667,797,567,224,083,583,672,539,848,953,367,220,122,917,998,920,231,732,
487,247,673,470,567,235,143,737,262,972,166,697,823,620,066,538,179,408,389,
933,074,031,575,052,255,780,517,716,207,009,947,728,282,028,651,701,531,168,
056,989,858,474,227,346,388,756,863,728,277,748,570,692,061,587,313,137,432,
660,525,246,022,918,172,784,231,696,642,777,901,380,716,059,375,440,944,360,
949,941,558,637,913,677,614,935,898,232,334,596,251,832,596,068,173,598,801,
967,392,753,379,963,152,401,023,103,095,259,102,155,860,011,516,776,405,032,
052,619,016,050,303,162,351,641,200,938,190,922,263,880,158,919,548,436,865,
385,144,708,523,436,494,330,151,460,682,822,553,853,954,717,508,177,969,642,
545,611,825,706,644,081,889,739,690,063,991,962,025,876,867,097,566,015,567,
154,356,400,904,505,745,723,069,531,490,089,044,668,953,550,345,025,015,138,
353,844,400,605,295,024,474,272,530,112,260,974,000,906,715,132,384,040,792,
913,110,736,850,848,561,441,089,176,010,378,790,568,501,926,429,425,965,635,
985,101,872,490,155,670,812,654,748,544,173,506,818,494,721,878,114,450,189,
907,889,306,546,762,776,888,721,141,790,451,703,091,098,869,831,818,626,956,
420,023,536,737,333,853,418,245,664,267,773,895,269,456,586,405,484,749,009,
837,337,802,754,982,391,246,661,940,356,017,745,411,270,651,694,253,601,404,
191,929,706,293,550,411,506,087,831,439,175,746,692,402,096,280,549,383,589,
974,847,614,699,667,822,813,251,063,501,872,835,317,998,155,338,412,589,467,
318,056,139,719,650,522,997,024,891,871,486,261,770,105,658,006,522,879,364,
386,734,361,548,984,471,381,163,319,291,739,919,852,499,129,114,488,663,101,
510,519,985,708,649,618,514,447,389,106,040,846,800,024,520,355,288,543,047,
593,548,707,247,506,228,055,867,515,460,174,340,209,666,269,852,032,885,971,
601,420,956,242,238,346,491,554,136,788,990,825,751,470,918,243,077,198,776,
260,578,400,799,165,655,589,869,186,595,717,653,258,066,383,957,111,191,301,
978,184,414,257,806,403,103,284,579,883,115,789,704,231,209,695,001,754,595,
056,090,007,634,242,388,814,205,739,834,426,870,886,089,748,086,158,374,223,
246,911,376,004,621,959,122,128,155,782,166,295,113,796,148,145,297,981,410,
126,415,157,541,924,634,570,617,642,275,650,119,518,471,921,259,835,822,987,
711,688,927,239,972,568,163,692,777,397,030,774,056,666,836,460,398,746,857,
251,797,158,186,144,679,057,249,892,265,168,765,764,184,095,751,750,732,696,
208,863,202,949,885,086,104,470,486,341,936,759,083,076,722,748,816,349,970,
866,699,215,926,736,826,612,361,678,184,244,019,735,135,034,310,861,453,055,
287,229,852,179,367,456,316,000,324,494,403,572,441,606,020,809,898,853,707,
250,834,088,737,870,400,196,429,468,098,503,691,733,075,294,907,253,889,285,
203,835,009,640,486,041,551,029,557,865,721,980,013,871,904,269,078,162,699,
149,361,905,066,901,004,412,258,950,778,707,948,699,254,523,448,186,275,866,
629,028,879,077,710,408,367,877,075,404,748,979,477,250,531,325,613,264,783,
215,683,389,522,852,250,917,033,156,839,381,145,774,392,299,715,913,614,635,
036,343,769,130,043,993,218,293,694,560,768,751,064,415,769,849,613,642,447,
160,588,671,425,791,312,487,487,370,418,146,069,189,136,907,753,353,568,421,
085,787,922,233,408,330,292,919,967,808,029,818,922,953,866,818,350,157,210,
740,314,963,256,118,047,571,717,175,346,664,732,216,281,634,810,430,885,060,
510,517,389,908,610,005,381,166,577,830,944,807,412,115,402,802,163,588,192,
327,612,302,015,366,343,538,895,698,468,161,920,714,074,303,114,291,951,760,
975,467,321,050,641,794,049,250,044,008,829,982,067,121,615,211,782,670,605,
166,788,948,210,012,743,929,586,015,333,338,723,743,002,981,030,236,141,229,
257,749,071,920,724,074,292,007,594,089,876,910,199,198,219,180,609,894,321,
486,259,999,272,057,753,613,249,544,620,748,154,459,418,690,382,864,523,139,
530,749,728,502,084,881,395,108,482,877,433,370,966,432,754,287,427,687,307,
308,917,929,949,457,611,775,489,204,631,917,614,263,634,991,525,037,066,551,
810,437,799,437,600,424,531,555,830,273,761,506,752,901,883,295,569,679,352,
729,706,495,540,615,368,059,620,268,828,549,415,045,623,044,463,771,726,187,
280,255,950,545,826,295,786,486,916,263,564,156,853,909,199,883,872,732,412,
156,411,994,360,833,537,809,811,212,825,498,526,425,191,367,888,448,765,210,
669,916,498,267,701,567,011,081,967,117,176,709,405,905,318,481,553,434,763,
928,051,403,611,661,217,628,775,623,998,328,852,247,725,340,889,227,911,280,
893,294,284,524,269,753,304,783,624,012,657,007,928,237,702,245,946,823,823,
800,199,251,320,140,157,655,375,173,322,525,205,967,658,308,831,190,208,305,
436,039,230,944,018,373,503,445,841,945,266,780,866,103,719,405,676,248,468,
432,143,655,133,074,336,726,592,680,521,369,494,022,015,930,980,536,755,336,
522,578,952,242,382,362,250,082,938,767,425,571,285,341,856,377,030,226,737,
459,365,360,555,629,123,985,798,146,954,525,784,607,919,930,563,049,107,791,
990,623,277,269,908,890,773,556,558,622,044,673,494,331,204,997,872,339,981,
629,211,284,884,418,963,223,415,361,459,434,892,432,744,263,764,335,151,611,
071,076,711,747,749,785,440,353,595,382,232,458,195,220,097,730,488,812,838,
124,472,125,805,477,867,240,287,623,798,061,615,129,470,184,970,614,149,769,
027,003,889,629,985,778,044,262,805,844,915,023,570,907,619,261,654,450,938,
625,856,418,800,719,789,206,712,422,205,189,908,745,126,155,637,678,965,344,
864,825,840,707,575,136,933,494,523,135,089,764,898,542,619,268,953,776,884,
726,239,597,277,288,055,357,067,096,727,160,171,928,556,517,419,435,662,612,
380,704,708,140,869,286,054,872,699,808,265,856,631,288,778,650,314,878,674,
208,988,518,444,208,280,953,178,322,709,926,480,240,724,287,539,031,749,641,
281,599,711,101,076,130,450,296,462,239,393,680,664,161,507,439,243,974,761,
024,915,824,715,717,595,344,489,781,310,251,756,970,794,815,491,724,846,023,
501,079,475,441,935,090,012,915,932,973,465,371,742,882,494,631,137,405,568,
135,983,376,893,197,409,180,348,395,082,764,946,939,451,125,265,725,828,553,
124,882,532,630,318,548,142,040,510,486,909,860,611,646,039,492,803,756,086,
480,494,992,566,018,625,712,220,969,448,854,457,034,672,210,748,118,680,763,
350,583,259,070,349,465,082,586,305,104,644,377,372,271,304,447,495,266,331,
754,138,909,303,706,175,970,704,366,405,943,399,775,629,747,284,669,196,226,
341,155,373,713,545,145,545,802,248,092,034,630,203,012,893,955,468,546,562,
776,800,957,353,681,113,227,121,812,604,255,385,955,532,055,747,507,259,443,
353,371,542,080,595,999,053,873,406,504,618,769,863,546,883,820,981,240,222,
043,596,247,625,579,211,721,469,658,518,177,295,460,020,122,566,345,344,831,
080,302,064,093,672,316,784,770,494,950,127,217,980,486,260,809,298,475,004,
804,624,158,300,052,519,158,757,074,870,958,738,023,399,897,418,604,181,320,
472,581,760,463,120,726,094,983,246,449,258,938,086,988,145,738,795,491,862,
126,932,127,858,677,483,219,807,879,249,983,238,870,802,309,576,132,223,862,
428,646,183,681,683,811,536,831,952,667,655,267,236,346,753,452,378,319,756,
984,136,913,706,609,074,999,693,285,561,608,003,767,437,480,618,444,509,118,
435,152,423,463,331,134,020,780,638,800,284,659,610,454,913,576,793,349,368,
645,147,643,899,713,868,753,511,847,286,040,913,559,258,234,642,327,074,489,
803,278,854,263,600,400,559,763,323,752,651,401,270,487,447,251,079,692,854,
756,503,370,528,516,265,219,857,462,165,212,759,953,093,217,077,778,915,872,
538,521,166,863,259,667,641,094,991,413,449,665,430,476,887,040,931,624,107,
932,084,525,155,998,357,640,840,935,697,482,443,256,118,663,133,622,670,871,
113,243,962,527,865,512,258,376,776,517,001,164,044,667,897,566,206,877,144,
626,095,872,825,918,085,463,028,059,014,217,093,386,540,197,936,729,853,433,
983,232,698,477,604,058,059,326,001,129,353,483,694,755,122,590,040,560,245,
922,078,664,276,987,205,879,279,547,606,451,886,337,909,923,761,653,001,528,
906,053,667,207,313,428,629,096,214,124,813,664,371,370,022,809,631,474,277,
356,288,682,075,750,455,123,037,323,223,912,890,794,295,917,194,669,692,155,
312,155,632,320,651,183,116,368,136,663,617,474,261,693,847,941,853,350,011,
749,266,734,382,745,449,299,195,718,097,143,492,382,260,485,762,891,253,980,
761,681,931,160,772,476,086,325,445,482,575,986,983,251,916,697,499,034,663,
644,110,724,971,469,035,537,712,073,278,321,033,491,079,588,817,599,825,042,
293,108,585,635,650,901,003,964,052,257,613,295,312,431,497,906,917,117,060,
846,166,693,479,145,440,324,857,284,256,904,593,965,180,677,239,701,267,703,
567,965,872,683,805,220,080,725,395,644,782,822,551,635,067,456,233,775,435,
029,401,753,448,446,796,364,065,909,437,154,696,745,691,080,605,321,571,224,
113,334,452,559,943,594,993,095,128,293,155,684,598,426,795,426,384,867,259,
395,069,674,796,699,231,415,948,107,584,415,806,615,679,389,325,358,915,902,
187,737,020,859,621,120,538,047,402,502,351,688,204,114,006,551,225,287,498,
776,455,816,953,931,490,296,955,662,539,115,958,764,438,988,784,807,009,946,
076,136,069,334,332,151,422,512,361,813,537,694,112,851,626,440,475,069,990,
229,307,552,558,886,144,374,860,078,604,854,421,831,722,281,890,776,103,534,
783,111,359,328,809,601,421,098,132,895,239,929,106,660,966,882,703,077,836,
674,943,260,401,495,057,770,103,257,005,408,331,425,461,910,399,585,114,463,
156,776,657,492,630,781,191,472,084,962,955,931,752,709,046,991,090,500,361,
316,950,054,299,632,538,607,045,213,444,997,735,815,458,609,514,538,377,085,
242,529,537,405,776,753,501,405,478,214,139,537,003,593,914,761,385,963,797,
831,686,412,050,604,513,964,014,211,027,166,475,066,177,408,171,139,999,232,
647,669,932,845,238,745,083,979,661,853,994,280,975,133,660,047,125,683,565,
296,015,494,184,884,589,464,298,731,580,558,617,658,050,903,290,668,019,140,
800,800,217,845,749,873,687,647,451,249,312,527,407,464,169,087,884,700,843,
005,556,249,446,046,310,538,834,396,669,358,447,824,161,160,328,679,386,944,
174,875,540,948,528,130,688,494,142,319,005,025,347,754,498,761,346,484,933,
217,709,497,086,464,109,713,603,001,801,268,767,554,505,675,626,780,002,273,
781,107,767,234,039,690,767,321,656,320,902,654,880,836,716,304,342,818,098,
362,106,591,466,508,856,190,116,316,691,946,492,986,583,785,013,293,060,815,
604,538,956,498,854,751,184,622,971,447,003,729,921,927,096,970,117,650,766,
777,566,886,534,375,185,206,577,274,280,039,516,938,515,035,257,772,723,789,
854,092,659,812,211,571,702,343,022,188,611,976,569,047,055,505,978,321,534,
344,269,113,723,102,640,488,473,242,221,276,740,210,213,614,500,699,307,010,
905,595,559,972,499,177,163,761,789,318,212,452,503,643,687,818,633,997,375,
108,708,535,692,014,435,817,617,913,084,510,132,378,690,420,880,160,049,941,
951,579,960,682,251,126,118,960,959,379,445,482,384,362,420,817,928,209,520,
400,632,515,208,747,762,768,868,708,549,988,380,207,702,879,609,157,000,577,
242,940,506,852,629,218,110,847,052,174,252,757,317,570,199,051,126,916,317,
896,843,314,474,443,837,148,965,169,903,468,678,098,853,671,014,371,240,437,
271,982,839,399,178,356,615,954,736,901,178,267,487,083,006,846,038,513,392,
867,213,268,005,708,772,023,080,928,886,700,753,721,138,655,449,597,270,433,
743,151,886,304,102,112,428,234,041,371,931,278,325,385,126,947,952,485,312,
242,861,081,691,001,115,197,759,540,548,020,915,014,933,844,312,122,865,684,
542,070,625,347,347,976,118,079,823,782,710,818,057,681,520,304,022,658,749,
348,857,766,760,892,384,794,008,699,279,941,366,766,276,686,941,659,133,351,
847,467,912,626,555,104,456,464,168,749,791,541,688,820,441,979,967,526,715,
813,287,071,641,227,408,847,738,433,688,290,502,535,015,469,214,369,787,209,
253,081,691,606,110,437,488,040,034,331,345,158,103,776,125,647,868,317,285,
571,907,245,800,093,901,213,363,513,180,954,129,393,913,197,961,151,843,936,
828,513,554,064,770,993,028,302,985,209,731,138,768,014,482,331,334,552,351,
796,982,589,044,412,856,883,467,117,480,121,787,003,355,306,899,065,389,132,
508,927,029,950,128,936,996,157,598,144,079,958,411,395,124,093,518,970,477,
428,199,998,273,885,489,771,313,503,201,640,787,701,150,098,154,226,371,632,
871,869,106,443,026,139,625,149,411,626,166,181,611,348,443,818,469,389,150,
589,478,519,939,493,110,887,790,847,083,886,230,908,020,875,796,572,882,610,
580,114,396,732,833,407,348,953,411,219,682,211,392,949,930,377,596,931,919,
225,172,987,581,058,153,800,074,044,163,891,070,528,330,853,423,272,706,954,
499,540,408,557,492,034,940,694,867,325,838,482,322,916,766,081,508,671,488,
123,844,948,933,412,747,697,230,123,687,373,891,608,649,138,962,970,226,627,
931,893,135,119,671,520,227,960,222,658,559,920,338,286,304,709,851,999,128,
580,931,173,782,939,708,194,470,934,590,095,508,333,609,919,418,401,117,899,
828,376,788,110,975,491,261,633,113,723,888,664,504,059,080,896,348,682,677,
207,439,252,106,083,107,301,835,776,271,994,708,330,639,852,960,270,003,740,
083,316,399,856,887,379,826,559,445,340,896,943,639,771,589,520,896,855,953,
959,053,316,249,229,255,879,206,356,311,336,956,886,397,261,930,566,168,768,
183,598,590,679,225,939,088,823,636,931,309,351,613,020,346,245,978,444,153,
026,810,296,708,148,334,806,647,188,857,865,467,778,474,779,916,810,533,338,
644,780,021,418,292,259,921,524,287,362,265,603,100,211,873,532,613,969,741,
013,958,326,983,090,653,844,630,521,206,448,236,222,231,638,583,481,401,329,
589,049,054,114,957,336,187,332,379,823,576,611,094,350,354,221,144,312,473,
756,646,152,174,088,328,208,619,781,078,989,501,126,870,298,756,025,776,070,
372,410,508,931,072,227,551,643,695,228,587,102,724,358,395,067,895,373,330,
883,517,902,432,982,518,081,012,185,267,904,693,160,787,453,853,118,098,515,
252,654,876,974,264,240,166,712,729,084,324,790,005,971,448,265,743,169,145,
527,127,282,977,608,613,251,398,594,154,333,412,507,603,617,197,887,930,296,
734,938,931,769,261,132,698,539,384,135,981,923,778,834,793,081,129,362,439,
843,364,815,823,672,427,638,663,694,497,969,529,478,946,205,075,900,697,683,
330,142,208,604,694,243,116,241,963,191,920,106,783,446,188,572,524,066,065,
434,624,450,299,072,751,552,758,176,479,233,803,625,608,734,825,784,208,074,
823,386,800,989,952,370,282,299,951,668,470,057,872,019,297,197,846,126,225,
597,358,321,222,628,718,400,852,673,014,392,562,802,743,991,594,604,176,222,
995,966,201,839,045,053,499,222,433,012,266,964,778,281,970,655,506,258,446,
194,981,430,658,528,253,754,727,361,342,644,693,742,677,883,942,854,089,003,
903,596,301,220,976,139,635,716,817,181,406,112,164,137,553,538,471,066,349,
320,545,297,037,022,160,551,612,564,428,734,183,042,681,932,491,826,398,908,
951,754,532,244,162,224,481,708,164,449,756,333,891,524,389,015,619,184,605,
526,597,852,382,329,428,596,646,921,349,969,113,622,377,751,763,877,010,147,
493,701,513,959,584,152,445,269,170,642,566,500,394,133,809,339,311,396,385,
206,815,736,030,000,367,943,962,882,503,820,220,880,682,851,108,502,622,669,
602,030,951,206,196,740,275,746,788,038,089,998,209,295,589,434,438,930,627,
550,032,459,717,411,519,659,637,184,818,173,377,646,099,347,182,675,858,382,
555,232,429,018,134,972,908,500,247,596,180,871,845,448,611,420,228,267,697,
965,789,250,716,985,979,845,859,802,322,092,890,242,279,511,956,181,761,970,
147,168,177,198,131,791,342,421,716,234,215,661,866,880,125,943,265,384,152,
276,527,680,798,863,873,232,688,400,392,466,478,096,868,950,996,920,252,105,
776,553,245,515,754,908,977,939,038,436,741,216,928,076,353,086,199,317,432,
623,976,182,951,993,216,361,250,538,287,835,118,228,595,624,262,502,891,142,
526,111,701,287,344,040,479,748,957,845,467,833,381,245,507,864,022,602,917,
733,126,432,681,609,038,786,397,801,860,393,857,106,025,964,555,508,093,950,
604,144,707,835,856,222,333,395,228,727,916,197,353,304,593,568,218,120,844,
725,150,278,822,807,043,696,058,040,867,387,974,656,388,726,830,146,665,516,
432,311,053,559,334,422,113,439,050,764,349,432,751,631,779,130,973,212,588,
285,293,927,405,299,201,668,275,812,702,773,278,749,139,249,879,316,600,198,
828,342,384,644,403,678,748,380,419,155,783,386,578,952,719,587,585,454,506,
131,317,308,806,422,120,863,602,433,738,184,254,886,022,546,809,259,625,779,
930,233,753,583,247,719,724,950,484,329,797,920,547,028,088,414,124,565,054,
520,139,144,606,477,541,654,081,241,675,371,461,799,265,052,890,145,553,058,
965,703,422,224,628,196,429,079,595,168,831,592,345,474,319,237,671,933,166,
433,134,029,938,344,409,419,506,923,003,235,797,865,660,083,285,511,849,083,
925,515,244,247,638,778,682,963,207,643,488,953,859,781,750,055,114,681,857,
799,652,795,749,543,841,939,084,737,148,498,426,705,299,937,087,732,007,409,
740,195,142,828,240,284,620,381,220,047,847,430,127,734,780,499,418,738,068,
346,829,081,141,274,345,199,739,165,072,347,068,508,063,711,509,325,709,206,
344,697,883,032,833,717,280,538,643,414,079,297,809,722,939,297,732,421,402,
102,132,128,985,411,646,504,275,198,355,395,697,638,542,938,789,215,300,741,
044,182,549,790,085,772,947,264,865,491,312,302,229,504,343,775,500,516,118,
094,677,888,607,822,217,563,890,755,937,429,967,663,844,807,738,642,867,331,
856,309,694,667,475,374,112,532,184,444,781,982,231,202,583,855,774,214,863,
439,661,277,802,980,313,158,985,075,843,976,408,684,959,434,740,088,745,839,
144,436,911,013,869,824,564,231,477,242,420,496,922,009,987,146,407,837,932,
862,310,524,763,598,257,175,919,111,598,889,062,067,922,577,649,312,032,133,
321,719,897,879,739,073,984,532,576,527,961,033,582,343,330,616,430,518,071,
446,140,598,961,830,354,289,369,278,473,213,378,017,870,491,466,775,624,870,
327,442,262,212,693,975,443,088,602,587,120,887,113,438,072,026,024,597,615,
181,715,249,624,411,121,735,179,378,829,575,167,582,442,418,020,904,549,455,
292,680,224,370,347,629,113,585,068,281,473,946,873,373,903,044,948,521,245,
350,874,978,406,191,478,285,629,451,638,006,262,635,046,846,136,553,375,543,
521,747,148,109,671,683,354,059,483,751,179,868,512,550,683,140,224,409,780,
431,973,608,371,405,969,804,061,147,625,534,914,270,372,440,274,973,477,009,
252,366,082,208,882,057,092,462,189,502,538,321,861,151,892,048,561,275,902,
433,412,513,080,591,993,851,990,185,118,190,494,027,376,745,277,969,847,896,
716,721,588,027,004,777,801,944,578,390,042,708,206,877,067,178,218,362,058,
462,562,116,895,118,630,506,254,892,311,022,208,989,293,402,037,214,541,346,
063,007,525,337,736,269,182,541,425,508,477,692,843,110,126,415,179,126,069,
840,676,507,317,450,280,715,889,570,139,100,788,312,915,435,883,791,847,047,
723,930,631,574,422,887,696,917,540,415,966,583,273,620,550,884,561,237,125,
931,842,063,584,290,573,564,040,855,432,792,726,829,248,482,309,376,215,542,
172,095,632,800,990,299,390,071,734,217,356,050,064,869,659,865,473,379,447,
554,074,783,119,133,940,295,423,109,632,463,500,359,386,598,508,510,233,689,
662,518,656,036,911,976,052,717,689,217,710,577,602,849,734,170,194,863,943,
607,222,643,597,104,693,549,133,026,159,132,264,995,744,531,068,852,101,135,
847,622,002,190,412,310,587,412,280,408,725,013,437,815,596,659,011,145,978,
178,920,212,830,115,697,750,146,832,147,964,052,969,223,635,536,385,468,759,
265,171,449,575,228,050,849,415,683,327,346,242,768,514,117,403,143,149,381,
970,335,635,882,111,113,916,422,079,951,040,375,377,039,789,737,023,054,222,
300,167,090,128,631,994,424,581,492,758,261,344,828,627,871,379,597,282,782,
504,412,019,294,284,592,703,253,238,404,015,909,524,944,910,174,751,595,669,
512,870,736,587,631,148,027,306,914,430,389,049,825,411,464,025,557,343,218,
793,087,255,153,428,880,426,640,924,670,937,244,862,636,526,682,611,221,805,
210,128,055,468,692,704,836,752,595,962,686,341,721,869,741,309,383,090,618,
656,328,755,687,055,539,470,033,751,724,978,535,136,701,311,399,086,928,642,
183,346,130,906,521,566,440,311,584,557,226,383,928,828,559,066,512,497,100,
674,473,622,706,335,597,854,033,157,728,533,778,400,597,688,107,955,457,440,
830,238,097,093,845,539,431,341,193,376,565,172,141,154,681,749,237,661,169,
152,371,788,494,985,956,596,203,643,031,888,047,992,664,827,589,849,535,045,
587,668,060,926,266,462,782,747,480,496,783,836,782,244,527,567,344,804,579,
658,208,508,696,991,726,607,618,573,492,501,617,460,687,367,056,841,001,820,
532,885,947,708,024,713,371,625,061,017,390,677,652,832,348,553,310,690,024,
881,440,517,950,322,995,394,870,034,329,844,123,937,716,699,299,109,148,404,
237,043,150,207,243,065,184,574,462,534,040,380,345,459,256,893,923,647,134,
659,197,527,925,845,052,178,080,275,525,868,037,678,100,003,972,389,734,931,
264,740,554,289,726,544,562,957,314,432,679,925,000,258,825,699,731,916,587,
240,575,438,384,405,500,938,855,561,482,399,415,743,293,346,846,879,145,731,
940,155,854,965,689,247,438,749,372,885,427,358,899,829,079,924,608,913,017,
305,189,788,626,448,684,660,645,744,589,969,330,676,490,638,914,195,955,355,
455,874,786,803,629,349,953,335,597,809,524,103,261,548,062,280,035,432,323,
304,879,025,678,308,434,436,080,509,951,430,778,213,382,372,880,925,486,739,
081,661,211,384,060,034,289,337,792,769,421,469,691,991,639,910,284,168,861,
455,862,543,827,724,294,784,964,852,363,115,488,732,161,139,576,239,951,663,
049,642,378,331,748,484,420,159,451,015,298,305,622,779,584,257,888,791,842,
527,317,322,755,847,259,271,986,493,800,738,202,090,689,847,925,676,328,015,
605,437,137,861,220,828,987,863,410,115,440,567,526,968,055,567,470,379,858,
436,045,779,236,693,970,816,803,406,329,803,079,292,194,125,894,615,260,577,
908,582,719,083,887,505,708,202,210,102,259,645,370,584,879,125,405,583,993,
167,017,031,071,220,454,925,740,101,156,797,784,459,560,954,850,780,119,947,
991,455,104,042,151,090,430,564,015,598,418,419,472,081,694,395,805,674,111,
886,786,044,444,821,751,534,337,557,841,722,767,700,886,283,019,210,249,329,
297,490,299,655,039,374,568,344,742,478,594,016,253,513,083,288,631,224,674,
152,856,514,476,687,873,153,107,940,422,698,835,601,483,537,603,259,998,696,
025,205,314,850,805,844,910,366,018,889,996,998,098,595,761,616,570,636,923,
726,578,278,863,040,188,652,401,614,639,055,645,935,516,279,129,861,819,120,
711,290,238,639,550,134,581,157,413,630,426,060,566,993,609,076,840,074,618,
687,116,824,137,842,078,195,149,663,128,736,032,198,502,328,131,992,412,718,
970,706,698,336,732,333,090,943,784,853,219,720,732,394,914,219,294,541,399,
727,168,353,288,034,796,479,667,381,723,416,056,603,193,066,856,621,774,828,
902,181,567,854,893,641,434,448,750,250,086,008,835,666,654,097,395,086,443,
627,024,227,048,004,548,509,560,877,013,822,758,109,660,878,687,123,526,233,
295,023,898,200,087,790,330,845,194,307,429,301,056,182,417,325,526,729,635,
192,076,494,162,168,991,543,402,998,294,541,512,421,218,561,059,194,336,643,
724,196,672,832,444,782,038,380,871,547,986,403,361,788,370,813,462,001,286,
147,701,265,699,506,203,334,345,174,240,349,942,835,804,013,102,283,726,957,
606,372,860,372,340,696,844,532,218,717,215,967,245,489,363,419,569,054,001,
292,978,152,548,903,496,210,544,302,336,954,597,781,969,060,832,932,249,800,
282,579,712,106,545,601,988,223,004,611,867,135,773,359,313,985,979,907,690,
262,254,566,910,273,430,125,479,234,353,384,254,919,251,464,555,642,109,381,
323,777,058,888,188,186,050,232,311,558,143,133,075,671,329,613,369,443,912,
064,441,707,315,348,232,804,712,564,931,284,915,968,456,236,968,116,664,036,
200,515,101,250,814,973,267,982,439,690,235,704,745,143,583,251,393,573,570,
096,816,650,753,241,890,258,345,126,875,208,775,224,850,467,751,880,301,376,
546,469,507,415,120,087,890,564,500,925,289,309,100,722,500,912,982,672,530,
934,631,737,551,443,960,182,761,116,026,285,354,735,232,952,287,665,468,909,
796,580,430,774,536,239,625,052,024,590,517,973,294,055,096,471,683,352,641,
231,630,765,429,634,812,171,767,939,605,494,619,766,978,542,261,172,656,567,
214,448,631,150,819,830,709,643,837,733,079,437,083,542,090,980,124,735,516,
476,632,655,857,507,503,324,977,888,342,140,901,056,691,413,372,925,954,882,
367,810,193,718,188,947,915,241,938,980,540,295,981,287,348,359,905,260,752,
803,412,024,287,722,999,973,411,433,938,853,479,167,452,047,191,904,312,341,
257,407,620,791,663,215,169,177,563,069,445,738,050,468,296,919,296,942,131,
726,769,416,267,511,076,434,436,528,956,919,397,401,057,974,295,593,668,284,
504,133,783,977,622,659,136,581,061,647,887,546,132,768,847,825,960,876,566,
957,555,909,045,214,719,867,919,658,440,984,947,752,697,746,601,093,404,500,
341,533,159,864,662,847,891,029,797,565,374,187,528,917,700,129,107,003,647,
257,098,279,906,226,322,115,008,031,640,211,730,776,855,703,524,567,625,848,
802,690,882,832,372,725,839,451,340,314,692,686,894,920,540,908,019,068,486,
270,606,778,674,351,781,370,193,863,771,957,697,726,206,942,948,405,428,189,
941,369,851,962,737,905,484,764,662,670,227,558,818,084,999,325,430,387,920,
950,606,447,139,814,003,569,908,648,451,777,722,581,221,325,207,213,463,176,
739,270,664,795,637,182,237,165,730,421,311,110,688,464,578,697,188,595,639,
353,977,817,279,538,859,225,246,961,395,258,255,365,050,688,961,534,482,828,
209,797,047,129,812,826,846,362,784,090,413,609,395,335,389,562,243,002,672,
584,303,769,039,969,085,286,147,016,925,091,963,600,533,342,679,374,557,043,
753,137,147,214,487,524,126,371,561,159,411,756,392,314,516,606,805,812,384,
342,607,698,871,581,302,611,537,520,471,112,818,604,988,749,823,422,603,247,
254,092,583,204,323,317,731,135,020,111,409,572,423,998,897,813,055,180,557,
309,468,130,865,562,403,625,087,669,797,262,150,262,702,592,279,675,482,557,
128,187,757,292,595,886,346,853,434,056,489,200,032,677,691,252,303,175,007,
371,777,770,948,636,822,387,692,262,255,761,355,190,033,735,278,846,883,336,
180,462,814,038,603,414,526,992,251,648,257,166,464,222,674,249,320,015,762,
271,845,934,416,897,476,020,419,295,586,687,781,669,711,877,591,306,036,457,
321,960,116,673,557,255,846,679,199,740,023,285,200,876,951,621,957,644,810,
663,857,783,430,740,341,879,102,716,304,325,399,399,539,048,448,810,794,708,
474,644,528,722,899,930,384,749,976,595,775,203,364,164,870,424,117,990,655,
804,149,450,133,393,503,795,694,171,219,269,171,989,157,728,904,596,941,026,
000,675,936,294,760,435,853,069,051,036,605,015,648,055,179,959,454,057,767,
695,761,753,838,174,054,425,090,843,616,766,677,045,937,941,018,127,465,801,
344,162,179,542,117,283,178,672,971,921,621,544,680,609,055,358,449,449,191,
986,749,049,135,867,873,674,286,046,368,800,759,944,653,074,998,595,838,144,
739,025,674,989,703,075,155,053,064,379,840,555,221,949,483,393,602,848,013,
762,108,120,729,960,045,631,390,635,183,928,195,736,968,204,515,112,182,389,
239,546,537,886,092,272,690,179,212,285,483,756,493,344,277,909,370,660,445,
132,904,581,538,083,193,438,296,757,333,668,465,520,888,758,755,189,312,576,
921,815,865,019,966,851,880,309,966,512,215,752,280,745,127,412,091,575,539,
884,724,921,461,197,740,384,418,627,903,613,920,741,612,880,975,266,235,556,
765,520,573,027,271,475,031,340,804,551,456,745,948,366,425,224,070,800,852,
660,657,580,560,502,542,747,065,457,982,970,375,677,844,159,048,044,188,428,
995,833,128,871,455,910,518,323,578,302,851,738,873,718,266,372,565,586,710,
322,473,492,065,919,797,136,769,288,187,873,460,802,357,795,840,399,629,452,
379,448,615,585,215,015,630,490,574,130,898,503,407,427,744,637,559,870,364,
981,108,331,597,855,364,289,534,561,922,597,069,927,774,298,237,118,408,967,
995,889,305,333,322,799,190,631,260,878,634,928,189,681,508,040,030,383,410,
666,063,615,222,505,280,147,946,390,731,693,005,606,422,931,607,599,514,461,
455,483,692,689,610,626,031,738,370,433,892,611,918,154,121,083,949,855,999,
735,673,758,848,807,009,480,081,741,889,472,289,982,039,765,519,080,712,287,
785,082,493,750,388,591,580,227,129,051,636,022,973,490,690,698,495,095,870,
011,122,903,326,023,622,221,165,470,044,453,133,929,607,289,416,748,388,726,
667,192,529,120,372,005,879,412,326,220,696,989,374,339,311,562,395,209,266,
337,814,395,519,324,607,277,552,908,797,793,607,444,899,676,347,846,789,821,
931,434,714,023,135,849,076,845,168,356,155,836,146,494,831,633,646,403,000,
640,273,210,091,313,851,093,886,816,957,367,773,100,863,971,476,638,073,162,
122,511,104,313,705,980,125,471,639,517,869,166,673,759,524,262,144,450,696,
919,341,859,506,593,845,520,179,024,315,957,853,584,782,761,563,599,951,610,
813,254,201,437,549,323,193,190,368,575,025,818,726,753,017,963,349,109,200,
500,102,597,053,176,232,139,065,275,127,431,727,959,624,536,704,042,693,222,
035,430,965,104,964,887,798,718,964,290,325,008,695,911,056,810,373,139,269,
363,900,722,207,117,629,409,312,017,143,009,652,132,428,409,952,511,452,460,
931,889,217,041,197,951,173,666,575,951,821,090,884,918,273,763,326,982,512,
329,542,382,803,071,963,357,984,735,537,165,878,022,946,666,297,524,860,992,
334,184,332,460,661,222,367,691,374,534,402,564,252,479,803,884,321,390,711,
070,710,901,380,857,374,822,981,263,858,445,234,504,960,695,388,935,081,356,
801,945,067,614,466,961,233,393,212,269,670,949,178,776,534,399,155,701,527,
538,104,219,097,339,244,086,676,418,293,190,558,816,569,641,486,392,441,121,
788,781,587,015,367,407,501,823,700,811,940,049,799,086,194,037,869,583,402,
573,276,870,121,128,222,078,179,794,557,640,875,734,513,624,453,304,032,065,
080,852,462,273,667,262,832,898,787,474,170,606,588,034,526,731,029,851,877,
714,070,700,070,066,792,848,952,603,561,805,829,178,309,169,614,409,655,822,
703,654,894,743,979,072,706,435,344,597,461,351,054,254,923,324,079,299,072,
524,764,205,252,221,140,872,140,738,324,498,115,609,701,085,094,128,407,648,
502,495,486,016,415,259,288,886,666,313,214,317,711,604,243,641,730,969,095,
644,153,291,950,918,271,481,221,455,282,609,272,452,107,460,903,055,085,708,
425,554,684,122,777,254,789,441,624,093,764,788,050,919,197,971,262,247,058,
352,049,837,395,771,552,252,875,156,442,802,704,899,373,760,916,865,328,956,
523,810,448,211,320,960,381,714,991,833,150,215,907,021,587,366,516,622,911,
073,872,163,352,368,386,983,504,490,323,457,652,216,786,795,858,127,274,690,
179,959,078,447,011,338,389,890,609,178,117,483,137,221,337,603,943,158,243,
858,901,148,847,480,315,671,436,457,385,315,823,613,206,806,299,289,319,400,
019,095,662,395,641,939,510,184,245,298,602,865,077,824,599,777,483,310,968,
550,006,293,671,540,442,064,283,239,671,518,688,998,794,288,971,675,977,971,
167,131,981,569,138,073,363,164,616,820,761,935,235,884,609,505,155,066,816,
820,342,342,842,119,800,043,685,443,128,556,238,340,628,032,664,543,890,453,
440,671,281,220,411,397,998,988,223,044,736,506,779,284,111,629,899,169,164,
227,303,526,630,590,387,131,560,723,394,853,097,474,976,195,241,485,087,079,
592,844,174,280,037,588,993,189,518,531,581,753,616,012,441,704,376,990,945,
792,660,374,349,704,798,992,228,972,867,449,867,915,867,945,680,822,251,426,
588,319,319,340,348,507,685,515,215,804,624,760,885,086,335,783,654,389,186,
673,515,476,299,407,782,285,433,554,841,157,919,487,397,975,208,953,877,423,
660,639,695,682,538,207,266,699,200,100,795,172,147,189,505,201,333,027,326,
482,336,693,707,109,289,428,413,093,931,389,919,657,382,066,766,515,128,632,
412,537,647,795,240,816,460,020,606,447,912,928,552,841,071,467,170,660,439,
606,247,269,044,542,073,294,677,723,231,281,024,153,318,702,099,527,987,626,
029,280,431,612,143,139,961,175,412,492,489,204,806,711,304,805,846,416,555,
389,013,675,494,477,964,555,655,760,957,022,620,023,809,415,177,274,118,439,
106,067,549,923,382,882,452,812,196,927,701,316,825,812,547,090,415,179,114,
139,807,680,918,762,153,857,887,842,496,594,688,726,159,509,676,164,068,379,
579,449,606,981,503,771,154,881,220,654,303,382,524,344,205,666,905,184,512,
848,785,167,603,803,011,605,832,272,770,967,226,371,070,942,337,733,723,161,
288,871,613,372,079,245,994,479,884,440,241,711,552,419,885,517,002,485,983,
226,257,285,655,374,922,313,285,813,084,840,529,411,342,609,641,941,505,437,
391,376,520,782,777,775,907,608,500,531,007,152,077,755,119,944,960,910,106,
956,674,606,707,892,915,978,686,570,667,575,989,355,691,565,586,475,694,928,
282,271,635,865,054,066,886,430,214,233,346,441,912,358,746,478,050,747,181,
371,015,574,702,874,112,288,724,523,467,820,453,148,216,955,859,222,187,219,
429,754,064,568,222,140,550,155,850,089,367,707,555,855,724,085,197,807,575,
875,049,142,423,594,027,465,544,567,930,267,418,371,402,492,237,517,266,111,
344,843,617,325,642,605,894,758,446,346,032,007,699,960,034,251,184,206,848,
987,958,024,990,704,358,252,560,691,122,152,364,496,928,974,539,186,481,469,
111,814,635,612,255,764,946,753,745,615,042,021,183,983,021,758,448,324,033,
257,263,867,403,438,202,846,602,567,936,149,929,004,201,352,900,863,654,668,
778,055,379,557,013,966,195,678,972,866,369,425,631,820,036,814,500,758,288,
233,962,651,043,023,239,127,254,544,237,848,647,572,067,192,570,662,787,780,
939,809,590,651,039,865,080,275,371,426,175,062,713,156,446,341,514,183,790,
811,684,972,127,472,333,393,457,744,808,148,580,221,428,955,686,967,322,674,
599,830,066,838,681,118,514,002,752,302,858,119,082,511,777,713,397,165,588,
459,340,587,855,262,110,492,619,406,206,652,789,169,976,860,681,888,629,794,
049,559,978,509,435,004,131,065,264,160,982,418,143,629,235,963,786,013,928,
064,591,899,757,312,876,782,309,986,020,742,558,721,465,867,267,586,577,640,
848,230,184,901,412,053,295,510,920,294,328,129,698,105,615,951,480,324,446,
945,102,160,395,551,259,975,968,633,658,810,966,530,314,435,047,706,151,474,
228,576,626,367,011,057,310,585,383,964,659,264,296,259,724,911,881,617,702,
318,774,954,704,885,867,112,268,052,973,731,080,312,979,837,268,508,734,913,
201,770,460,439,836,169,113,365,276,435,512,480,624,603,818,671,285,838,910,
458,164,879,121,040,400,031,115,761,098,907,474,343,491,335,130,923,356,781,
160,530,872,429,592,976,316,006,599,126,042,146,401,019,572,243,102,044,789,
105,425,366,577,141,114,489,601,060,600,761,596,624,953,367,585,373,985,330,
624,696,672,908,994,093,337,785,385,817,440,322,707,110,551,167,954,617,348,
301,748,373,302,464,815,528,708,775,291,513,594,291,695,839,292,466,287,254,
569,340,631,637,397,360,223,976,182,260,076,698,782,924,449,928,817,811,918,
955,548,065,738,848,118,211,870,563,283,449,711,233,190,620,477,008,502,736,
850,304,326,926,556,675,085,407,959,229,830,781,270,454,487,618,139,542,154,
917,049,077,350,754,537,630,403,459,189,595,525,710,261,968,043,149,337,129,
851,717,785,758,092,243,205,255,558,184,484,688,391,848,857,568,163,600,848,
840,341,350,180,839,695,064,942,060,015,343,848,083,576,714,028,007,919,138,
003,156,395,847,388,569,269,203,589,455,089,485,021,181,477,593,724,861,104,
398,657,047,807,989,972,334,631,808,006,778,466,630,659,479,765,341,603,236,
311,353,462,914,408,952,521,317,961,707,104,876,094,176,868,247,785,320,671,
008,625,189,463,660,638,152,234,421,562,348,639,367,459,497,455,266,604,872,
453,607,533,077,466,856,574,595,635,699,145,923,472,316,379,139,444,932,564,
744,891,950,886,387,254,184,051,665,493,467,526,058,631,202,082,537,750,423,
950,302,498,014,370,812,940,591,123,596,542,204,046,237,134,152,848,634,375,
653,044,579,224,644,585,095,666,988,437,417,286,863,156,054,778,304,700,188,
369,134,500,524,364,633,259,555,643,793,411,064,468,308,068,581,559,984,906,
425,481,315,099,633,514,513,261,345,802,616,123,980,727,357,773,866,532,787,
198,548,686,468,823,574,266,002,440,225,307,070,520,134,792,451,517,489,551,
053,550,782,520,829,707,912,092,703,556,558,298,811,230,543,655,369,539,596,
650,147,820,561,927,021,897,618,262,428,768,833,527,863,625,089,332,068,690,
387,446,248,105,904,733,647,865,414,427,381,743,422,007,041,469,260,888,098,
244,620,194,681,773,288,996,777,699,352,863,762,461,078,570,711,980,975,668,
110,653,673,815,214,670,562,376,245,036,451,729,621,344,109,205,893,886,663,
435,667,684,286,807,605,273,774,067,964,911,860,543,335,066,779,914,900,502,
971,537,015,632,695,884,456,725,272,545,165,240,996,095,449,606,839,997,791,
047,164,827,547,315,695,685,212,421,150,598,901,555,427,557,467,330,173,044,
764,225,453,512,159,075,175,889,498,662,769,480,697,622,962,394,119,239,200,
039,212,302,710,120,473,867,008,517,885,553,752,900,696,023,493,157,489,399,
277,212,638,059,503,501,612,638,110,071,953,692,868,228,160,176,478,600,469,
486,606,726,528,717,124,802,413,190,498,417,076,777,944,082,618,441,720,136,
974,510,168,808,884,875,094,537,382,181,223,912,326,781,701,725,989,283,849,
518,185,840,115,415,190,559,557,645,153,720,251,229,111,452,830,087,911,684,
247,268,361,078,659,021,218,972,660,383,568,714,052,057,074,852,793,222,184,
820,192,927,399,047,724,929,200,376,263,446,820,420,645,227,112,194,479,854,
339,764,518,296,238,176,059,264,943,149,332,100,624,386,931,423,449,045,010,
014,992,368,572,629,871,604,918,240,994,275,636,331,114,444,231,140,891,755,
253,287,677,716,585,340,509,912,343,290,638,917,809,407,916,298,565,032,541,
172,509,088,780,324,914,111,585,273,941,712,904,480,965,995,877,451,060,176,
578,027,443,507,289,453,084,812,560,249,302,325,044,364,372,244,443,313,831,
402,269,869,528,179,399,253,729,364,283,388,152,428,220,814,579,815,660,010,
166,284,176,724,030,231,796,000,707,164,323,212,071,189,478,321,303,029,072,
496,471,214,458,515,558,038,428,401,068,327,971,868,511,132,257,493,727,996,
013,147,888,387,414,715,760,684,263,764,306,488,015,913,958,639,961,568,415,
446,126,213,327,286,326,684,163,987,172,867,378,389,714,401,479,931,603,696,
038,046,687,648,136,866,640,049,048,002,543,351,428,585,166,349,010,039,075,
439,898,166,112,841,338,726,209,912,213,313,920,818,862,271,169,938,637,590,
743,172,510,270,120,137,968,187,852,480,675,028,745,826,331,342,008,779,819,
295,816,731,749,846,782,585,502,677,346,049,906,522,298,058,084,887,562,819,
431,003,919,238,542,513,279,954,224,263,722,090,892,881,123,625,687,519,075,
293,763,895,026,208,828,552,567,150,684,047,887,959,925,455,377,662,026,695,
359,303,551,990,314,868,281,905,247,231,512,013,418,134,456,654,223,007,106,
738,619,958,013,173,821,772,703,466,659,439,640,988,273,338,529,496,535,082,
854,002,855,111,332,951,702,310,663,690,947,580,179,272,656,017,487,008,452,
864,457,772,935,081,945,120,547,812,838,894,931,405,081,922,239,249,405,963,
882,311,921,392,561,316,671,736,343,518,206,228,351,448,303,808,707,598,728,
294,404,233,959,155,145,358,659,996,307,690,214,459,785,373,165,472,540,536,
751,573,750,112,114,931,685,337,042,007,952,411,565,637,801,164,365,703,974,
278,330,292,783,869,695,906,667,295,410,109,257,376,621,509,124,975,876,950,
652,168,166,866,574,533,153,187,781,106,537,492,979,169,377,021,627,735,220,
536,383,659,203,871,741,376,716,973,731,726,391,879,565,252,441,772,205,208,
868,639,708,204,688,270,109,567,773,790,819,610,980,430,135,520,669,613,135,
749,439,181,267,813,005,769,047,001,914,634,006,781,240,035,397,833,828,930,
670,482,773,013,822,245,480,510,081,484,726,572,110,453,741,047,502,665,480,
873,527,285,850,930,083,127,135,005,848,445,363,963,574,431,690,616,936,259,
290,897,926,247,095,363,099,199,572,194,562,437,998,797,528,550,388,161,303,
500,701,051,695,191,557,640,847,087,335,975,928,210,738,677,729,537,383,110,
157,310,890,468,147,076,976,643,409,575,913,001,027,937,322,990,526,749,421,
954,822,781,803,366,470,703,620,657,558,218,693,412,884,503,604,633,632,436,
196,194,260,405,047,845,336,024,394,006,767,191,946,670,556,561,959,692,380,
746,345,210,995,468,276,162,116,801,430,798,225,863,396,210,929,699,304,025,
553,388,729,553,038,481,773,494,497,068,813,204,692,328,084,349,027,862,280,
566,971,472,821,422,054,158,046,442,882,001,469,713,802,096,004,124,790,477,
339,600,095,807,645,240,482,606,936,896,727,688,824,009,544,153,514,138,182,
849,605,572,345,721,788,189,547,910,691,977,576,075,217,252,259,739,405,083,
638,572,828,989,289,248,528,636,522,132,824,573,919,090,642,935,718,605,347,
330,848,475,989,880,418,942,649,049,906,915,714,092,627,644,823,843,698,953,
028,415,212,629,017,914,907,666,422,507,331,549,002,318,910,862,460,757,129,
938,805,891,789,644,464,379,657,818,059,595,488,885,220,513,422,394,000,836,
541,472,920,326,522,521,450,071,457,519,314,346,680,933,955,627,026,446,915,
651,038,848,970,427,913,780,213,926,381,132,386,160,869,309,935,075,140,410,
028,762,714,647,750,943,087,138,100,828,741,369,259,373,056,579,255,771,592,
719,105,473,940,600,632,733,535,136,686,735,685,211,667,099,357,357,428,932,
795,677,219,862,998,391,431,318,651,684,740,128,723,929,750,113,607,506,767,
345,552,599,894,725,823,507,701,770,746,318,288,476,578,563,695,118,366,085,
656,129,148,652,657,820,253,934,041,033,895,814,635,179,266,819,479,230,678,
509,313,574,297,668,168,306,526,831,122,685,866,942,955,475,487,023,945,147,
371,564,466,758,002,762,317,360,221,141,335,504,108,588,060,842,053,868,929,
815,925,104,429,367,866,676,203,831,427,477,542,510,847,585,411,273,380,207,
335,490,360,473,226,235,977,441,570,910,977,530,519,768,146,190,448,013,588,
075,718,963,731,544,152,161,282,086,477,721,811,975,225,640,964,950,308,407,
257,639,813,801,257,257,242,804,254,811,119,876,798,524,479,150,811,042,897,
550,782,334,631,168,689,353,038,262,423,448,675,392,572,852,355,007,248,030,
475,792,428,340,274,403,668,749,014,345,248,284,739,953,523,663,261,149,755,
937,059,162,605,307,126,087,990,261,397,617,004,832,524,356,800,340,544,318,
841,880,625,818,615,365,917,236,456,301,674,533,027,332,702,093,862,531,823,
249,028,185,302,169,200,252,008,856,902,901,902,933,778,341,361,177,171,939,
975,705,560,602,191,709,387,037,851,096,298,516,995,046,472,689,885,342,110,
502,412,330,156,857,526,008,806,235,569,778,861,280,183,308,609,888,832,455,
139,922,987,892,583,941,862,950,177,280,797,547,640,653,559,030,774,410,726,
597,244,063,244,830,280,372,414,131,560,786,936,119,373,914,514,654,745,521,
448,064,839,942,495,676,374,758,518,242,552,530,569,299,514,907,493,734,866,
962,025,206,175,530,107,950,068,279,900,548,368,407,739,915,541,325,352,226,
237,198,501,076,634,374,406,420,688,067,041,203,726,418,906,703,423,236,217,
419,188,331,771,255,083,313,848,388,586,301,533,582,070,582,833,135,764,757,
478,028,041,484,467,112,743,888,015,403,385,743,909,350,088,222,898,939,704,
669,551,339,195,134,777,632,223,433,098,276,772,114,114,971,096,904,351,416,
022,780,800,051,971,152,190,585,974,298,919,029,455,479,952,610,467,910,073,
551,356,082,443,228,791,639,315,706,809,640,448,146,188,274,303,653,757,326,
681,700,098,498,855,528,582,301,477,272,422,975,058,309,374,898,866,399,760,
353,386,716,453,543,619,069,094,584,529,454,709,350,622,945,191,796,347,967,
397,980,034,959,639,784,164,855,101,002,266,028,629,506,126,225,616,052,105,
537,461,841,159,615,818,890,120,766,303,026,667,210,277,492,463,220,705,257,
038,181,560,628,407,026,983,459,337,997,391,760,916,211,444,681,775,384,325,
428,187,574,079,307,356,131,751,186,026,869,084,375,747,559,194,952,970,791,
927,390,045,689,199,891,599,052,890,689,535,502,394,270,807,806,123,687,636,
856,376,562,430,688,334,849,932,359,031,172,365,539,781,482,151,685,851,785,
147,964,254,489,988,797,889,262,448,660,596,819,706,498,917,816,258,734,059,
042,933,375,619,493,761,493,751,549,820,925,409,996,175,640,412,432,609,984,
564,783,651,276,136,667,112,182,590,433,514,347,626,347,232,865,583,098,786,
915,425,976,982,651,588,661,568,784,414,787,467,972,124,398,277,164,395,609,
664,123,358,442,046,803,547,360,573,535,945,494,072,260,677,688,761,759,774,
610,995,328,621,903,346,112,833,858,994,185,689,453,620,984,034,012,482,332,
353,221,500,575,533,018,945,671,488,356,739,489,512,059,318,496,271,956,735,
411,513,312,382,861,782,277,883,766,997,220,123,513,300,291,040,164,210,573,
698,236,404,526,339,342,260,827,278,260,528,861,098,663,183,544,619,800,698,
778,444,993,509,757,500,477,801,927,224,903,771,357,588,802,702,307,896,064,
363,083,044,684,937,809,812,042,313,837,880,453,843,246,370,490,206,756,467,
872,571,221,877,562,280,683,695,649,474,958,143,252,391,351,960,112,624,919,
416,041,280,540,334,781,682,609,342,573,997,485,554,811,731,744,632,402,760,
576,419,760,082,288,254,021,228,768,616,791,651,892,636,416,746,554,798,095,
682,524,104,372,710,431,836,693,810,866,763,330,958,507,246,797,526,553,199,
873,612,251,580,146,109,597,222,534,481,059,459,449,675,056,627,030,642,151,
221,111,096,419,423,567,434,001,818,270,955,793,385,134,413,545,358,385,330,
701,836,372,924,603,954,719,043,846,823,053,804,447,659,234,448,256,994,007,
255,105,925,669,492,446,478,823,074,695,741,315,202,713,714,738,174,435,396,
344,843,627,430,453,489,658,304,276,402,748,742,654,797,638,613,297,441,123,
213,844,038,007,436,735,426,919,376,756,379,011,600,820,928,704,261,376,067,
310,318,062,376,645,931,866,113,293,011,523,988,226,220,803,525,276,531,802,
226,066,594,223,652,891,889,176,923,149,507,942,316,710,649,596,542,138,421,
921,306,563,805,899,516,456,546,491,824,730,524,663,414,514,022,975,934,990,
790,340,074,581,429,375,083,422,565,439,546,473,290,597,115,904,702,956,609,
831,461,159,347,876,286,703,228,976,238,902,257,048,050,878,071,803,749,653,
609,909,055,072,222,428,417,612,633,311,243,386,125,776,275,424,563,638,847,
530,215,237,307,681,207,281,341,442,698,175,275,083,014,446,491,632,884,054,
494,743,039,456,005,274,455,464,907,136,128,492,748,308,496,838,885,763,833,
052,637,018,869,387,803,756,602,184,497,336,426,486,572,892,990,435,295,789,
682,861,857,681,675,291,648,091,636,093,151,422,800,015,997,126,593,481,997,
684,104,624,738,373,148,379,769,245,733,762,676,973,060,918,107,853,824,062,
768,426,386,354,993,006,222,511,100,103,895,353,357,024,506,964,446,093,963,
029,106,522,204,966,816,141,885,544,453,481,938,213,690,579,425,370,435,066,
491,077,233,348,517,174,934,421,628,455,482,221,901,354,390,991,297,744,310,
610,702,577,450,807,235,892,920,328,670,081,161,874,145,705,933,280,596,481,
538,565,419,578,627,245,139,887,844,571,396,157,956,138,775,828,222,780,405,
728,399,071,155,300,281,876,102,447,913,538,742,579,520,161,040,626,325,005,
304,240,252,911,478,034,547,036,125,157,222,714,683,810,628,204,046,289,480,
883,217,972,672,268,147,656,768,456,857,611,826,265,169,605,688,887,384,883,
290,269,415,054,106,639,671,518,236,010,037,991,149,300,740,802,819,409,576,
040,896,541,390,297,637,010,217,786,601,065,809,727,562,069,590,756,699,094,
628,529,085,735,864,953,706,685,862,566,150,724,687,747,812,016,702,107,037,
344,491,318,726,599,458,898,893,838,068,030,863,069,637,106,346,198,537,238,
915,184,601,341,752,079,432,055,485,318,715,143,370,377,170,820,405,129,689,
572,063,701,135,641,281,325,584,113,786,606,110,526,074,972,370,841,298,416,
057,080,432,527,585,985,005,735,751,566,044,566,893,760,239,483,477,780,516,
582,196,745,700,045,312,769,587,199,643,070,956,004,785,913,369,068,619,854,
038,535,445,686,663,651,771,067,246,180,295,969,782,851,201,847,032,843,014,
071,980,932,803,620,984,374,286,227,844,936,125,890,478,316,569,222,745,456,
234,375,611,573,203,761,177,467,712,362,812,892,254,937,136,506,437,124,181,
414,676,050,958,076,992,193,346,580,304,336,197,587,668,990,929,612,786,588,
332,304,003,743,685,924,417,643,027,223,203,456,702,747,736,181,759,425,160,
272,765,395,885,720,874,355,728,328,169,390,861,453,522,106,339,980,717,413,
990,383,561,973,368,256,908,440,875,011,402,620,781,723,739,857,852,810,796,
978,434,457,864,342,692,918,911,535,779,727,830,441,747,654,198,973,308,075,
694,463,585,840,795,602,798,715,546,561,329,830,055,467,505,885,144,848,129,
603,611,217,310,527,448,092,492,370,608,850,854,323,003,501,206,109,829,196,
123,132,961,104,584,451,062,778,489,726,939,273,186,913,040,099,294,614,000,
172,575,725,172,867,894,656,018,409,433,647,827,814,529,866,585,925,350,018,
401,518,615,174,826,808,159,892,196,498,966,795,966,068,718,794,722,082,943,
722,502,720,616,112,562,579,599,280,902,012,972,205,892,880,470,868,497,842,
460,529,193,375,626,332,342,311,330,776,734,385,313,534,525,280,292,274,205,
325,260,532,776,987,488,019,836,448,976,219,958,175,273,802,021,244,049,747,
948,433,848,805,395,608,310,634,786,744,852,808,840,253,965,342,828,043,657,
170,106,307,773,703,186,129,828,604,895,383,173,088,904,974,857,828,439,173,
267,152,206,140,043,725,149,713,962,377,569,702,193,165,542,173,058,654,938,
925,072,593,094,823,706,057,228,257,332,715,293,963,823,232,665,934,555,836,
598,824,461,370,399,653,267,974,781,909,557,590,364,614,306,578,865,852,405,
487,404,070,436,237,094,757,681,049,463,583,921,926,959,600,846,894,088,268,
099,346,086,660,434,468,215,773,527,393,615,257,209,131,254,227,542,786,823,
592,070,716,085,500,764,880,640,861,631,979,175,778,305,766,834,556,063,388,
514,399,670,916,173,461,845,095,181,234,989,770,348,278,647,064,761,239,656,
371,473,048,552,754,988,396,093,278,805,643,281,067,398,065,374,591,032,781,
485,235,568,480,729,909,430,076,377,238,770,593,912,894,556,564,993,714,057,
870,868,634,419,327,879,464,407,876,738,348,791,275,612,180,388,549,258,754,
482,483,865,620,055,953,659,286,437,647,776,313,491,962,412,258,920,390,755,
510,918,673,709,796,553,790,405,652,627,492,445,028,622,365,946,220,578,665,
475,637,198,213,249,887,077,869,770,298,754,936,440,303,365,953,664,350,465,
219,811,787,353,171,881,337,662,167,932,072,947,378,968,587,163,412,109,195,
492,085,170,673,197,399,602,625,276,777,146,337,095,859,572,187,173,092,886,
283,947,266,388,607,253,581,195,890,140,138,422,547,645,960,194,122,935,407,
400,454,153,522,826,060,106,121,662,754,256,203,776,170,425,995,995,086,495,
279,439,842,898,143,781,722,918,246,812,185,877,144,991,338,175,794,319,469,
055,623,369,603,937,867,259,195,755,034,723,765,763,656,685,560,958,181,980,
407,680,820,377,123,199,166,217,761,472,435,805,252,662,557,026,601,553,123,
986,474,219,107,074,251,068,144,348,531,903,675,596,494,646,333,951,752,602,
505,310,669,882,278,930,785,616,360,806,921,123,934,961,067,217,005,576,027,
192,433,275,316,086,620,944,186,445,639,290,838,079,802,723,648,527,630,620,
095,843,499,344,070,461,888,289,050,630,750,773,949,705,426,956,432,815,026,
562,824,896,962,134,740,767,022,290,113,425,266,652,774,559,689,501,104,719,
404,970,080,027,817,988,876,548,443,727,876,349,798,766,032,700,391,718,209,
521,353,909,324,113,793,556,065,384,965,954,426,075,183,610,840,075,562,285,
905,704,572,256,439,430,465,023,523,109,284,577,530,512,238,104,496,486,101,
273,327,704,705,795,961,623,546,535,212,191,807,303,809,322,488,645,247,033,
243,289,975,230,046,366,888,768,885,484,269,948,377,531,508,974,875,673,143,
375,488,611,534,007,977,329,082,173,920,235,023,924,120,098,861,948,526,774,
092,244,614,444,850,167,495,865,982,597,063,656,461,458,033,834,627,249,244,
786,105,672,445,543,428,538,399,681,477,126,921,731,435,290,345,773,933,042,
047,636,036,861,296,584,773,955,703,786,838,126,743,865,680,346,978,093,493,
896,801,377,056,626,984,165,320,641,592,474,966,205,834,458,798,125,052,083,
346,908,074,251,035,552,877,007,657,818,786,402,059,295,323,423,919,847,251,
664,956,057,329,723,951,365,384,080,427,910,607,130,756,828,804,967,752,551,
252,905,575,847,764,026,285,689,305,878,297,622,989,472,596,615,072,224,610,
318,998,934,494,546,519,223,195,147,905,475,269,000,226,810,686,634,363,145,
309,704,870,661,411,090,556,978,821,374,919,534,729,813,789,399,681,136,031,
515,320,064,870,050,274,684,983,904,224,559,380,790,878,791,793,842,873,627,
931,501,168,097,548,917,558,739,083,450,287,140,065,006,253,623,377,879,335,
599,352,387,650,942,869,433,544,528,988,530,386,675,674,215,639,524,619,249,
593,951,378,149,536,034,599,023,225,797,823,951,340,603,753,636,100,374,907,
537,468,903,533,834,333,291,512,283,475,525,274,124,069,641,033,293,922,149,
071,404,114,806,127,879,017,277,861,378,023,475,458,615,636,988,487,931,507,
375,507,519,301,153,881,572,514,892,654,379,850,626,539,259,548,584,781,241,
128,831,794,819,529,582,776,441,460,472,087,994,193,868,521,431,299,775,549,
660,565,296,129,164,649,993,667,078,493,522,565,792,001,316,554,469,455,605,
678,059,377,409,496,634,980,153,357,162,592,667,143,829,831,739,951,106,243,
338,513,066,887,783,122,082,798,969,878,403,219,425,521,786,382,179,705,210,
556,986,284,947,086,199,774,538,506,883,841,068,085,744,999,356,668,097,128,
919,714,865,550,851,743,306,214,881,728,169,216,811,134,506,951,217,622,996,
018,348,464,130,815,609,600,439,361,283,389,655,272,240,870,472,197,183,491,
573,467,158,770,756,726,154,387,012,258,374,066,747,089,054,844,469,897,601,
217,111,566,260,613,498,106,263,754,567,430,734,627,067,069,700,998,276,466,
460,097,039,459,591,417,613,589,297,545,366,610,183,615,016,621,526,359,740,
854,253,097,403,611,771,414,073,858,537,734,288,715,293,160,799,443,391,412,
448,541,536,522,707,334,273,185,267,610,494,420,325,627,521,174,584,004,786,
251,951,130,696,942,388,425,636,557,658,269,011,027,679,549,567,458,031,543,
279,359,566,202,687,029,609,995,248,114,057,271,910,636,524,801,718,038,863,
292,281,771,812,464,346,060,711,278,095,520,234,140,097,138,520,865,928,026,
134,018,883,694,482,131,370,881,290,210,407,762,289,492,322,935,184,705,676,
619,181,981,857,536,031,536,781,172,569,767,422,590,691,440,634,668,656,441,
652,658,423,466,296,973,228,151,366,838,113,082,422,042,982,292,748,046,377,
645,551,115,656,584,422,015,599,533,957,943,315,570,557,896,192,794,316,853,
050,598,752,499,742,961,418,696,126,536,040,641,262,769,739,802,960,254,764,
652,024,398,923,020,405,073,545,501,752,369,348,211,899,448,079,293,157,291,
550,156,888,255,572,552,166,747,364,270,688,485,268,505,976,640,808,767,834,
852,614,837,007,327,924,125,171,614,742,440,816,402,678,575,833,354,499,368,
298,294,675,639,461,963,148,212,813,636,362,529,288,537,607,267,472,221,386,
865,269,188,592,084,549,583,345,544,360,494,377,259,391,629,049,599,406,374,
607,922,930,502,268,654,136,584,075,110,724,023,378,226,282,488,588,504,314,
797,481,134,499,965,625,561,364,661,773,287,484,984,817,232,725,358,150,990,
091,351,327,500,192,196,915,957,317,574,182,320,965,909,627,740,110,348,920,
801,318,464,739,917,643,663,171,686,277,501,526,557,341,867,263,069,063,402,
749,252,795,303,325,240,632,258,310,597,766,511,554,255,026,924,442,116,368,
329,701,382,663,999,755,924,087,143,796,827,978,783,380,956,891,393,009,354,
164,263,595,033,420,214,662,947,939,047,057,678,520,433,480,854,883,292,996,
151,365,196,334,852,390,524,380,139,545,791,234,126,630,416,225,072,470,796,
484,170,710,691,846,371,141,692,092,550,405,927,315,376,065,948,019,557,364,
880,533,380,214,508,769,698,799,870,987,002,850,623,312,642,260,319,019,394,
715,094,955,930,524,143,765,624,915,449,035,458,078,906,802,772,387,693,328,
317,590,714,194,592,398,011,529,186,316,694,743,965,100,654,021,296,101,565,
815,662,009,998,818,908,044,005,704,606,381,457,602,468,303,876,594,180,515,
124,439,852,317,737,556,011,962,358,851,250,146,339,802,020,939,806,663,887,
972,823,517,598,368,051,490,311,344,300,748,208,542,062,230,583,547,580,614,
566,801,904,414,785,318,766,745,986,084,491,243,150,517,887,261,752,622,833,
535,568,959,724,476,096,611,416,836,128,350,519,938,766,256,095,737,253,441,
190,832,845,503,575,439,515,207,224,400,712,849,872,224,642,605,744,134,496,
394,974,921,684,850,121,903,770,553,456,561,034,244,503,289,631,284,443,601,
347,839,295,297,648,138,481,327,647,432,854,841,477,861,064,569,828,033,250,
972,848,228,276,922,903,214,450,007,226,811,206,783,042,232,598,403,148,463,
955,248,776,699,084,279,462,612,111,038,248,779,633,154,204,882,560,602,846,
395,483,244,298,174,502,601,808,479,819,245,035,975,047,700,989,659,243,559,
019,473,511,748,139,177,694,823,267,967,869,934,871,326,503,170,104,790,075,
174,596,848,341,231,370,960,491,615,447,095,608,945,900,558,314,459,660,879,
562,510,962,190,433,088,709,503,924,875,624,307,086,538,745,013,093,253,843,
149,363,051,668,607,083,459,624,658,761,051,560,874,129,263,290,047,155,020,
331,959,674,782,876,098,737,735,710,462,247,580,035,416,906,568,276,590,326,
809,735,056,426,048,715,334,256,544,365,941,564,900,204,543,073,128,985,203,
485,751,080,812,046,933,580,142,374,212,847,215,997,956,337,973,906,318,867,
192,611,478,135,497,942,292,569,554,522,517,233,464,413,738,812,111,069,355,
802,032,636,516,218,135,425,773,440,622,211,562,503,737,521,627,709,466,518,
962,256,642,394,527,092,433,532,072,985,029,097,251,573,874,556,884,669,122,
869,231,153,958,272,757,362,788,196,627,965,631,445,437,185,684,043,172,066,
038,477,328,215,524,223,655,961,246,599,847,350,461,335,407,944,323,675,317,
870,784,060,006,881,235,992,596,639,716,891,370,195,028,072,040,836,608,230,
272,061,935,297,634,694,429,898,640,644,315,246,563,728,230,220,295,455,332,
727,168,744,412,630,225,659,118,091,908,528,716,753,123,372,945,587,930,395,
884,626,517,747,654,284,963,202,760,626,200,443,182,888,434,983,453,939,153,
509,147,997,432,104,160,932,539,106,235,596,904,984,412,504,195,957,691,972,
601,880,759,559,020,400,243,559,948,261,626,862,194,411,315,837,274,839,804,
458,745,886,790,472,195,620,284,078,644,115,442,797,707,456,164,903,063,619,
377,452,126,868,794,975,294,850,466,746,030,552,700,084,982,944,752,762,710,
835,986,134,756,564,392,001,063,645,104,789,048,938,415,587,151,281,309,497,
857,675,882,757,776,312,875,510,480,300,249,418,435,752,819,111,374,701,643,
975,356,954,408,730,501,312,349,304,045,301,527,568,597,751,057,936,966,505,
778,945,612,390,483,804,211,531,227,036,157,757,503,382,917,664,355,924,342,
662,032,068,327,182,787,520,683,250,481,204,499,984,813,312,148,704,235,022,
206,124,451,811,399,213,561,878,948,175,631,489,823,714,613,037,706,135,782,
196,005,647,992,242,694,517,928,040,081,510,962,085,032,484,874,398,532,157,
155,874,496,718,413,094,936,171,499,600,999,832,480,123,417,073,079,875,179,
658,940,090,111,842,499,586,934,845,535,719,263,873,198,632,153,887,819,870,
797,904,778,398,197,853,014,589,580,092,225,687,294,662,649,859,032,675,788,
289,759,802,777,242,694,958,846,594,931,377,512,114,453,103,122,506,300,307,
543,561,143,631,224,979,346,991,879,306,635,597,186,793,849,083,160,088,489,
923,482,905,786,916,961,113,146,492,581,677,313,271,481,270,919,548,189,828,
458,407,674,818,750,996,323,703,110,305,393,209,137,347,729,118,797,337,989,
973,369,036,117,291,759,455,523,258,108,665,903,507,741,048,999,994,402,036,
507,707,243,755,263,183,356,042,162,974,524,661,790,810,146,331,416,111,201,
917,189,611,676,636,610,405,444,170,448,164,703,613,729,726,993,862,592,521,
736,504,456,180,120,506,666,873,216,121,140,688,352,684,322,534,179,111,269,
847,594,338,007,361,990,722,411,282,791,085,777,993,148,096,733,205,504,196,
542,691,619,193,967,359,911,047,606,049,308,186,895,450,997,299,711,012,064,
863,500,939,265,646,501,206,313,388,809,257,638,050,629,250,292,464,886,346,
785,311,128,733,597,185,603,221,756,893,701,753,107,751,973,447,996,758,230,
918,623,474,756,632,344,717,410,954,853,284,031,304,603,231,039,749,217,840,
546,033,714,092,016,057,299,766,443,322,886,327,301,205,506,361,736,469,754,
818,268,354,225,190,764,658,069,001,801,392,424,021,871,520,728,835,909,592,
832,206,686,261,504,610,676,552,474,565,443,789,811,277,208,391,494,123,146,
270,598,309,340,403,743,895,022,475,868,601,731,152,649,884,579,140,765,412,
084,974,379,625,066,087,926,973,370,729,615,520,586,620,958,115,765,603,491,
864,748,152,478,076,650,153,313,246,593,214,483,672,433,036,548,680,448,632,
165,405,871,091,643,802,747,037,246,514,729,851,919,564,211,917,775,199,829,
471,490,952,485,142,048,028,131,264,459,112,514,273,084,312,419,252,533,518,
360,989,949,230,529,089,989,601,770,104,068,915,882,552,124,474,027,220,400,
690,369,531,336,882,898,081,602,093,245,731,328,609,828,885,396,774,441,958,
160,561,585,893,658,411,898,936,998,668,121,257,528,678,116,642,791,783,030,
128,157,956,117,228,578,291,338,896,664,581,387,844,430,314,589,768,530,995,
086,945,822,977,006,470,360,926,678,130,052,113,141,093,001,688,731,249,802,
546,131,633,630,969,477,729,681,427,476,057,417,247,566,337,561,480,126,085,
672,481,848,686,614,072,772,404,428,708,948,198,696,885,377,561,799,390,298,
048,134,507,674,670,155,327,172,795,313,393,707,838,551,815,711,634,026,868,
518,036,951,135,853,129,482,420,403,646,568,526,547,202,976,328,825,609,271,
736,010,254,510,357,798,199,032,904,067,602,291,231,776,400,782,930,977,232,
849,599,765,877,910,625,781,929,781,626,225,537,994,323,394,843,219,156,391,
186,824,329,113,930,376,283,212,137,272,590,111,840,937,796,642,941,066,671,
463,111,299,676,613,884,779,150,295,000,038,846,218,405,207,895,155,070,608,
907,162,440,647,384,582,078,774,883,542,759,522,136,364,999,487,022,036,585,
634,898,909,726,479,180,080,244,394,387,267,186,618,341,131,074,548,612,645,
065,164,514,591,450,806,336,937,473,263,214,151,780,837,458,610,629,347,517,
379,561,422,535,236,863,571,592,483,156,242,625,652,540,049,268,493,374,838,
858,436,113,774,074,526,116,973,921,109,129,558,104,027,593,970,446,430,973,
928,296,924,041,177,079,224,370,074,459,896,357,532,036,472,518,173,348,884,
420,904,554,010,069,405,550,474,413,676,843,769,776,489,534,246,878,026,679,
837,758,407,737,996,244,968,605,384,010,368,407,504,541,738,289,833,158,811,
308,012,238,048,975,103,385,391,958,097,118,070,404,394,547,052,055,842,206,
494,827,419,230,104,944,231,048,713,869,790,019,970,848,320,429,823,258,661,
584,459,380,574,429,559,275,081,546,583,750,587,586,596,224,094,884,109,472,
162,406,503,914,560,630,537,071,747,354,625,534,130,595,971,770,344,524,109,
058,641,366,921,792,893,952,576,586,121,869,864,185,660,992,837,132,607,447,
144,552,616,199,332,312,057,225,438,518,178,064,505,916,010,636,838,949,687,
394,576,618,086,072,923,157,730,395,213,644,436,863,977,468,872,545,514,775,
350,142,881,690,778,762,107,397,609,655,838,768,368,650,497,608,378,330,928,
274,542,601,058,286,302,637,834,532,646,919,412,401,255,948,247,014,378,338,
579,614,104,655,317,735,194,913,110,603,360,438,618,368,314,936,769,508,579,
424,058,956,721,864,753,308,100,221,809,412,439,828,091,048,898,525,577,283,
138,912,869,777,226,695,552,619,362,639,625,680,680,642,228,804,050,678,416,
680,012,065,551,600,878,561,725,391,448,625,166,549,905,967,018,188,510,203,
284,227,615,476,586,484,863,820,177,060,363,245,535,572,720,133,095,610,696,
174,920,746,288,516,141,278,759,675,366,744,686,925,065,312,110,648,532,091,
410,663,678,498,504,692,980,609,775,178,442,730,953,923,560,722,975,329,042,
145,073,317,593,246,978,149,417,735,733,847,049,856,056,010,487,470,574,177,
494,853,193,149,775,527,287,156,760,794,059,505,642,045,293,635,551,467,340,
398,852,115,180,277,989,348,223,151,184,045,095,516,968,066,656,793,753,775,
404,343,655,458,691,623,990,823,808,457,683,936,405,504,838,349,412,869,906,
357,497,742,560,741,362,673,064,233,279,390,015,087,138,843,864,292,803,325,
860,920,934,561,278,190,693,754,258,860,523,980,160,373,219,471,623,369,403,
458,202,931,074,618,204,988,629,227,262,223,482,290,142,346,508,852,433,810,
215,226,603,372,191,624,938,546,875,443,033,671,842,436,524,877,599,004,369,
427,925,040,175,232,804,023,493,066,086,940,261,152,446,372,083,470,749,052,
806,455,061,198,851,650,561,656,521,798,988,090,234,056,952,904,522,588,056,
608,235,735,364,942,990,496,001,998,852,209,045,966,245,677,087,993,788,779,
002,170,265,036,981,598,539,006,121,300,984,997,781,409,751,264,570,704,901,
926,794,676,136,630,627,418,052,891,328,473,652,144,208,803,939,870,270,234,
852,013,919,647,861,969,704,950,178,118,228,236,287,027,013,103,756,072,513,
613,529,095,255,448,167,600,833,240,843,837,676,895,364,118,621,191,147,337,
611,327,280,498,663,062,237,821,339,752,780,796,964,572,629,987,729,867,443,
359,066,379,598,970,405,096,155,308,561,583,381,583,373,906,491,960,618,021,
388,510,330,759,300,042,865,871,104,474,727,999,356,788,528,285,078,081,111,
200,487,181,359,467,882,159,879,385,470,964,168,719,395,593,810,070,600,683,
351,270,289,633,757,696,555,666,803,027,941,335,988,062,769,786,574,810,687,
784,654,417,908,116,440,232,075,585,369,210,548,962,134,025,307,591,952,316,
124,682,477,087,094,403,217,446,332,551,918,396,639,184,983,741,046,135,694,
337,674,752,424,339,039,967,702,848,183,601,472,267,565,928,311,347,553,334,
356,355,059,438,165,647,904,456,021,491,402,401,702,899,383,475,062,445,173,
122,173,021,831,507,997,793,515,750,726,376,062,295,981,772,996,957,593,943,
742,575,919,816,274,323,204,055,803,395,218,261,380,425,324,239,784,778,468,
252,489,878,233,365,981,328,132,654,149,245,392,587,782,950,995,366,827,761,
336,107,474,620,092,170,315,598,958,748,037,254,318,194,940,884,035,989,075,
307,299,254,032,485,149,239,552,646,613,087,752,240,895,223,129,637,644,114,
403,815,545,874,430,925,319,858,684,922,030,605,609,001,326,043,413,280,352,
593,921,268,494,460,818,583,674,158,992,647,694,416,383,993,639,861,320,072,
847,621,141,093,389,473,148,788,135,693,618,072,023,723,780,370,717,009,784,
639,034,777,475,944,667,784,457,208,978,265,487,350,874,027,500,746,923,437,
125,430,477,480,355,570,975,616,818,147,343,864,390,082,193,686,039,604,805,
767,147,080,665,320,639,208,019,773,483,855,716,312,621,474,053,157,961,761,
755,276,166,045,896,703,555,915,530,378,176,467,563,477,562,401,210,618,543,
565,688,560,339,535,330,242,225,511,061,206,172,497,019,837,881,968,077,999,
408,076,193,555,776,063,420,626,804,829,311,071,425,958,447,706,008,922,388,
948,550,514,311,745,623,356,745,790,627,182,837,402,300,477,094,275,850,323,
542,285,601,214,443,733,103,876,605,242,137,461,616,065,407,851,898,434,971,
388,738,800,334,790,271,467,502,944,414,127,949,269,093,724,959,551,207,110,
089,925,649,522,414,851,537,927,007,939,008,655,293,499,507,779,137,555,097,
009,183,890,099,536,127,323,415,341,539,191,703,204,698,751,106,135,685,761,
863,842,680,352,092,742,536,543,813,134,647,423,992,347,700,475,688,415,850,
375,925,084,056,250,250,165,255,708,374,673,025,228,595,262,481,747,095,257,
195,104,744,006,193,540,381,402,499,916,848,332,682,950,000,010,360,377,916,
650,281,352,669,143,032,695,520,987,855,492,083,358,390,026,283,368,521,592,
279,799,294,857,317,445,678,366,470,832,005,103,738,291,070,284,746,465,198,
171,391,632,097,267,832,372,762,315,388,143,346,609,446,095,621,444,702,377,
372,698,484,680,700,914,575,600,447,440,209,358,775,932,450,356,686,134,277,
851,516,239,970,235,086,431,338,479,566,928,400,795,139,919,366,153,868,596,
844,938,433,412,873,785,032,656,137,175,650,826,396,114,145,453,642,649,940,
883,533,988,586,228,298,899,417,284,227,074,619,657,416,455,356,325,003,496,
756,510,524,859,315,494,976,476,444,191,743,263,610,055,012,536,890,636,390,
866,060,854,301,653,979,498,270,291,962,191,522,120,337,390,253,390,688,877,
794,278,116,766,465,774,746,081,143,291,786,977,998,279,122,151,493,022,860,
021,515,071,521,985,718,345,893,543,510,884,310,417,426,129,347,423,661,592,
855,605,975,412,345,409,083,888,668,800,284,744,135,011,031,799,240,230,257,
643,688,844,862,643,281,177,586,607,578,909,769,038,841,184,652,120,308,357,
249,466,669,945,977,138,991,326,449,262,862,714,577,460,395,481,254,231,300,
616,642,429,657,822,695,605,159,191,683,708,374,088,155,964,663,340,725,092,
142,438,084,060,233,371,246,114,023,289,013,328,512,756,102,494,697,873,058,
298,960,751,177,644,557,259,730,749,626,263,518,719,349,928,920,412,136,427,
390,868,235,866,728,553,092,556,799,364,302,355,535,866,514,684,404,574,801,
612,937,501,545,649,737,429,943,687,197,228,629,839,586,820,306,229,711,229,
603,539,605,564,099,406,741,038,019,308,081,189,312,817,909,943,399,330,554,
070,043,398,205,212,621,882,724,215,888,171,873,976,092,119,282,731,575,185,
467,355,599,563,928,627,963,841,553,035,219,501,598,454,992,827,765,051,074,
499,994,003,477,682,213,933,376,405,163,485,377,941,359,083,080,281,181,646,
721,042,672,431,772,571,699,166,792,469,426,791,499,683,999,792,289,899,715,
508,257,864,311,483,917,099,614,044,803,378,717,258,190,208,105,182,573,570,
291,673,677,965,770,639,288,492,839,289,529,689,472,028,743,940,188,489,889,
471,333,022,389,828,925,363,889,225,395,225,408,078,307,174,769,769,797,288,
005,302,315,569,075,889,196,739,798,396,435,974,930,749,974,663,582,421,061,
874,119,884,372,977,751,841,328,914,760,587,295,551,379,273,466,272,402,126,
957,726,732,525,058,903,077,038,013,843,619,505,660,562,502,545,597,435,122,
929,356,844,407,285,832,214,442,381,778,111,344,553,431,080,359,147,456,566,
851,873,368,424,154,105,588,577,508,486,242,499,564,694,667,591,310,462,597,
054,302,181,482,851,484,315,506,846,046,743,078,873,254,683,408,272,120,404,
394,874,208,217,628,174,248,068,670,376,863,741,543,529,230,374,186,438,877,
381,422,805,592,005,153,900,583,443,009,838,103,877,746,528,107,368,366,079,
825,891,979,690,238,714,284,970,016,448,125,513,987,389,852,138,048,470,231,
538,079,454,573,188,760,032,566,535,022,602,531,043,675,522,157,507,305,832,
336,278,152,255,394,083,284,212,635,652,191,450,848,758,010,862,754,581,970,
796,829,666,307,283,106,904,653,279,189,734,458,416,718,171,280,235,389,998,
180,976,484,411,451,281,888,171,290,912,377,516,548,544,001,191,839,191,583,
851,719,118,431,875,745,774,937,266,085,897,023,148,629,673,613,754,565,464,
824,387,582,304,956,292,432,790,552,345,308,915,383,222,519,258,495,657,695,
998,553,668,834,860,682,940,630,833,751,865,676,072,996,662,023,289,685,120,
613,879,728,229,606,703,506,969,396,239,289,480,833,549,986,920,673,941,708,
278,770,843,778,383,194,342,422,844,672,859,374,447,599,971,262,505,922,616,
136,336,993,396,310,468,273,011,223,936,156,740,987,018,510,801,417,874,475,
641,503,317,766,254,153,625,845,875,266,911,462,717,069,300,856,510,046,083,
308,719,281,741,111,954,197,097,423,347,086,164,562,360,925,037,364,225,730,
811,977,816,685,254,343,988,742,284,041,973,090,856,792,721,933,681,761,783,
326,205,171,792,919,656,724,291,721,426,390,893,451,982,726,788,414,835,677,
836,833,033,333,867,240,395,783,249,029,740,964,295,549,993,730,936,618,403,
847,032,125,379,936,620,358,057,270,040,300,665,334,750,730,240,276,509,069,
753,948,046,789,991,002,849,150,531,195,521,369,690,992,564,148,432,460,502,
865,796,315,168,239,183,249,641,071,086,931,387,590,281,223,480,424,158,270,
180,637,379,616,963,890,981,305,801,468,622,765,461,776,717,089,739,923,905,
865,956,754,022,305,344,812,966,280,910,918,313,838,495,707,457,643,522,669,
592,118,874,812,120,077,633,512,908,015,323,478,629,982,520,441,662,387,045,
892,656,155,696,923,779,380,662,427,816,256,675,065,656,782,471,457,064,496,
987,636,403,231,880,464,285,333,237,528,555,362,196,023,461,957,164,706,159,
376,649,544,759,411,979,350,694,036,871,350,607,185,767,857,431,234,997,382,
725,409,073,511,501,614,580,739,948,684,557,960,382,929,660,371,546,644,920,
828,905,100,963,324,956,416,908,311,369,522,046,989,010,977,692,798,972,567,
801,880,875,470,404,633,384,469,290,386,446,032,435,803,052,571,931,415,293,
990,107,717,135,245,544,462,040,250,143,652,636,300,380,813,980,237,316,826,
303,695,722,459,784,552,949,554,355,662,877,886,162,355,395,851,653,765,454,
447,366,169,491,577,614,085,007,469,459,152,970,311,399,090,761,985,258,415,
789,837,285,434,418,350,588,258,562,072,648,689,794,502,137,185,010,996,398,
247,704,802,808,896,066,296,572,893,468,715,296,931,344,856,098,348,202,156,
129,806,917,949,353,061,825,282,507,741,689,278,236,616,418,662,386,225,387,
571,505,170,739,326,506,975,992,910,028,017,856,130,008,066,264,256,593,778,
028,593,260,102,275,747,787,607,001,953,240,095,543,628,780,037,286,215,727,
655,736,579,699,838,706,157,359,600,345,127,912,117,370,515,278,698,659,879,
924,273,478,877,188,619,461,632,640,951,936,749,480,884,044,820,487,273,517,
365,342,872,358,854,555,854,198,007,855,976,712,292,600,954,856,335,427,811,
959,454,203,543,008,730,040,277,877,803,315,876,858,635,097,115,445,682,961,
175,178,003,210,192,797,916,026,241,412,855,511,698,562,286,791,565,139,323,
071,918,904,545,754,648,860,033,083,431,546,388,041,995,230,579,607,998,606,
474,091,535,875,000,143,859,218,246,093,135,231,306,805,030,307,422,760,612,
557,235,298,240,564,403,596,415,303,210,056,653,459,260,765,640,948,226,590,
589,816,814,288,656,818,894,243,132,641,534,008,187,568,021,193,097,486,398,
029,141,342,080,207,799,990,951,330,285,308,398,131,553,119,222,835,449,180,
236,328,215,832,516,542,772,270,553,676,605,732,671,829,855,907,424,316,511,
357,164,100,155,119,927,454,583,433,768,908,921,978,753,576,320,118,265,119,
917,211,068,960,163,824,941,969,285,986,687,604,507,375,632,219,892,024,940,
231,204,698,050,717,751,919,946,042,595,111,015,891,574,896,263,811,048,175,
820,132,784,587,419,284,455,510,824,514,869,299,197,114,781,559,382,272,367,
116,652,934,915,374,029,550,783,831,495,095,304,739,163,995,288,836,437,820,
947,492,959,832,088,254,816,627,687,558,119,631,083,675,318,185,605,176,570,
610,237,205,973,882,443,841,937,647,468,803,610,676,354,879,518,665,858,975,
918,320,751,985,320,126,943,166,632,770,477,373,382,323,417,971,194,430,978,
642,388,701,558,485,295,168,250,808,742,156,753,375,207,341,229,758,019,210,
793,159,428,029,572,780,884,893,282,183,105,105,188,739,785,370,669,345,277,
347,529,345,681,819,887,985,024,074,418,712,581,864,897,900,982,332,081,748,
629,436,374,365,463,185,421,125,420,077,020,040,063,605,312,244,029,322,825,
009,566,642,556,654,027,582,924,338,853,783,673,423,586,191,752,521,867,660,
273,188,644,958,833,902,617,768,208,881,438,292,817,617,136,323,170,406,228,
310,705,907,608,458,935,802,624,280,611,520,836,010,716,928,009,265,661,918,
308,806,114,872,605,478,070,805,025,369,676,788,461,862,246,322,169,393,656,
444,961,382,119,576,833,011,776,041,016,758,973,582,498,562,724,903,660,940,
856,973,371,336,975,153,385,323,196,746,554,148,324,848,444,358,813,099,960,
335,703,299,589,231,118,169,584,354,544,285,991,233,226,832,530,006,638,124,
833,761,029,082,842,583,853,206,493,529,726,173,282,207,429,021,516,436,646,
728,668,869,265,290,998,731,568,078,734,102,917,355,592,744,234,829,963,136,
050,390,613,001,564,793,428,766,029,452,829,057,075,546,116,024,727,810,726,
413,155,042,127,947,360,486,738,045,075,248,393,765,204,365,778,152,222,144,
274,572,505,074,554,115,574,600,721,289,139,480,709,452,396,203,898,632,960,
122,568,678,434,448,556,593,690,613,581,657,267,061,899,712,413,498,736,665,
229,589,513,897,323,489,781,954,022,317,324,575,868,775,322,304,038,090,413,
421,297,976,258,563,078,169,639,534,418,885,153,702,640,462,583,447,719,587,
323,396,458,993,703,681,646,519,300,987,579,733,118,828,160,003,578,362,355,
763,240,228,798,714,187,865,444,038,599,250,077,485,182,761,156,251,262,067,
179,138,952,176,900,331,525,457,235,434,995,826,958,510,876,629,996,771,337,
559,467,110,015,215,612,412,615,542,387,661,944,270,635,622,837,790,183,141,
569,722,958,671,845,590,704,656,209,289,870,011,867,868,796,542,972,934,892,
437,048,566,717,688,371,064,794,324,062,351,435,327,519,557,288,713,897,340,
879,758,591,582,530,622,687,157,415,927,474,085,551,096,026,523,731,566,656,
389,782,275,205,902,126,507,453,142,285,627,816,403,776,511,554,833,967,989,
898,904,138,701,888,498,132,185,391,320,843,730,891,383,316,100,916,449,694,
865,789,453,262,908,682,381,664,409,166,638,411,091,849,374,978,508,359,092,
258,572,464,693,415,590,551,955,076,033,929,838,963,724,484,280,030,209,914,
433,748,675,727,584,657,528,983,232,975,750,637,635,135,462,394,763,339,567,
244,889,935,578,466,321,105,801,358,182,828,770,218,900,051,696,109,161,540,
483,956,095,524,886,615,854,107,744,125,286,506,201,991,513,204,133,111,022,
580,290,546,431,948,815,309,153,638,300,493,366,347,772,929,752,936,131,928,
061,279,403,979,406,271,028,892,153,502,183,956,095,948,528,644,914,090,058,
004,652,050,442,941,282,153,345,705,561,876,792,142,541,251,189,992,782,363,
169,076,636,789,503,695,428,712,414,799,186,742,235,196,767,381,829,688,872,
626,086,350,223,020,547,685,030,627,444,917,962,744,999,353,545,258,990,321,
061,725,639,274,417,050,545,497,930,848,003,978,982,163,356,086,926,287,485,
530,042,321,813,647,731,202,718,695,905,204,769,549,928,762,684,118,467,795,
538,274,548,773,292,641,509,720,476,963,466,638,969,165,198,988,760,429,363,
318,866,045,377,234,572,308,713,103,212,519,040,888,506,832,246,772,600,772,
889,427,477,878,652,393,725,639,150,611,112,616,212,393,703,418,285,033,531,
860,392,509,470,726,744,351,270,766,027,621,938,437,784,721,740,385,119,878,
587,628,016,578,807,987,210,035,486,508,706,228,136,165,235,016,927,172,908,
776,805,444,900,952,373,087,442,388,933,687,734,109,863,266,307,713,994,818,
890,048,055,103,033,393,605,888,794,507,604,420,423,673,430,007,234,581,436,
860,001,005,287,358,272,026,607,385,750,339,297,705,038,667,263,047,133,865,
902,795,983,544,373,429,786,839,679,583,578,534,257,879,368,489,634,497,149,
515,502,408,219,651,705,989,888,330,768,933,402,005,850,224,122,368,347,927,
405,840,682,239,694,594,161,586,725,799,827,114,408,126,054,343,685,331,092,
125,493,704,703,824,347,715,934,461,243,666,992,840,441,625,220,630,258,089,
651,371,652,069,178,071,943,911,887,866,687,805,744,449,710,347,620,762,737,
353,368,148,833,315,098,403,904,531,916,128,451,565,036,405,407,022,193,988,
494,877,347,019,095,947,564,083,171,616,453,078,972,256,791,101,103,461,967,
972,571,777,133,284,389,629,852,866,739,184,074,710,725,043,035,828,387,566,
066,719,449,821,131,342,307,566,046,806,744,535,667,768,865,830,356,706,536,
523,352,314,897,807,453,617,180,599,334,647,692,288,176,724,262,774,965,629,
106,679,436,000,757,891,066,481,592,004,307,397,472,921,486,540,374,258,652,
850,135,135,794,364,605,014,580,495,957,885,626,747,040,107,544,429,393,147,
484,391,695,602,377,839,111,844,018,000,341,333,883,210,664,883,498,315,874,
436,277,856,528,228,973,825,123,875,958,581,070,489,899,242,542,898,186,136,
559,719,928,731,146,082,853,239,223,259,093,780,599,905,758,787,005,829,003,
331,422,883,427,419,586,642,914,125,149,190,195,903,526,383,097,838,443,748,
248,420,998,822,851,895,657,666,970,370,346,751,809,003,318,586,434,709,420,
507,874,049,282,517,567,865,787,592,647,973,974,553,135,221,050,828,850,472,
813,976,878,320,539,417,240,425,912,422,046,890,428,356,595,619,591,428,724,
084,431,518,442,998,571,157,128,430,273,255,021,626,145,264,735,601,649,418,
757,621,425,952,101,129,283,795,131,931,200,305,455,589,583,112,038,482,761,
283,229,845,188,790,356,244,371,035,014,625,647,214,875,028,311,569,120,298,
216,603,943,666,291,224,899,512,722,154,193,659,498,252,969,822,113,763,517,
750,158,843,217,041,094,740,031,348,946,078,074,479,165,911,863,222,794,104,
241,096,170,407,497,351,570,992,271,091,796,251,326,515,618,671,721,704,700,
033,623,893,162,177,869,283,586,063,887,224,253,643,301,950,372,323,792,200,
313,944,175,887,742,933,561,463,442,487,753,421,469,850,457,971,107,333,505,
102,285,776,178,054,350,816,675,662,365,320,712,015,630,629,981,956,544,839,
888,514,241,333,316,338,812,448,246,882,482,245,616,733,822,550,382,791,551,
683,945,531,774,554,026,969,090,654,651,661,941,060,523,310,985,797,001,343,
022,697,348,279,698,711,797,527,376,259,632,617,854,486,568,302,791,025,778,
777,616,082,614,366,714,592,650,976,186,749,664,673,649,447,738,825,600,226,
429,963,145,781,661,722,173,109,457,225,127,887,585,732,236,221,055,695,107,
703,054,210,042,526,530,005,683,223,393,416,081,084,051,077,466,966,750,005,
983,598,238,947,669,843,456,410,959,805,571,773,432,033,304,000,187,478,664,
577,592,896,674,706,699,608,084,254,245,325,686,398,082,374,473,420,247,465,
612,358,322,668,807,962,424,982,098,087,046,058,239,377,445,587,105,632,505,
740,416,997,265,336,928,660,267,654,575,655,932,676,857,318,674,893,507,218,
467,046,388,330,471,287,912,647,227,490,582,538,855,697,278,648,563,814,340,
690,431,050,155,869,047,394,330,083,618,070,774,697,204,893,997,095,051,537,
421,181,988,576,576,529,497,087,670,871,153,127,720,301,234,781,903,560,674,
697,437,774,217,473,356,048,660,303,128,057,539,192,222,895,498,171,943,516,
997,612,551,124,676,801,030,941,361,971,097,917,602,422,274,399,928,441,054,
198,293,154,511,450,027,586,191,491,095,036,047,491,619,967,867,560,397,921,
085,264,939,066,161,933,345,824,654,502,673,389,915,426,658,328,826,781,057,
311,311,079,813,930,829,051,576,901,469,551,669,526,506,726,753,320,086,050,
935,530,538,445,850,025,970,235,168,966,155,685,786,873,749,960,552,481,048,
189,412,038,473,763,291,919,425,273,115,404,356,588,325,334,385,559,245,779,
475,346,242,440,527,168,488,215,173,748,170,158,749,896,307,562,342,306,224,
217,299,042,421,977,935,553,433,419,196,794,991,374,631,961,461,601,934,337,
974,944,175,234,784,462,007,829,817,203,114,166,452,473,440,409,536,134,438,
281,590,535,672,572,405,754,634,413,314,256,216,793,776,997,871,285,910,413,
857,354,468,691,328,881,179,900,408,277,701,192,747,605,734,817,400,631,690,
605,946,406,327,198,065,789,531,164,050,759,345,280,596,887,418,797,785,656,
454,534,420,189,590,025,372,766,426,800,102,015,577,676,087,545,218,418,812,
408,989,882,046,352,677,352,044,151,344,790,587,628,967,426,613,315,534,439,
931,207,764,675,262,150,928,869,492,583,310,044,665,839,939,794,549,001,281,
557,142,698,850,817,612,230,391,844,069,264,567,954,966,885,744,283,857,718,
290,098,764,116,274,136,588,162,365,998,522,051,993,048,189,455,401,429,164,
199,234,719,433,693,021,255,249,248,450,690,220,589,716,719,879,573,187,227,
313,797,218,230,603,828,987,073,396,184,142,813,082,882,920,320,059,316,317,
353,278,628,328,465,164,053,152,187,091,453,294,851,783,756,262,409,970,441,
054,504,349,285,178,616,711,189,884,087,425,580,625,831,528,831,553,260,194,
074,201,322,000,562,450,884,086,661,486,626,664,434,472,679,017,012,597,544,
514,452,971,723,656,347,172,640,020,744,338,564,430,466,210,159,198,874,423,
964,130,719,932,437,465,568,101,780,114,547,576,625,260,235,405,034,883,917,
519,193,681,410,937,052,727,476,668,477,227,249,970,730,221,059,135,188,481,
734,745,637,076,454,333,436,013,264,313,111,582,666,053,963,809,973,007,584,
634,385,649,863,257,279,642,014,528,320,297,419,208,714,864,319,501,970,953,
120,347,575,035,075,288,592,827,512,937,258,141,658,385,958,323,235,486,341,
034,177,951,289,882,426,209,480,212,835,733,782,943,793,585,123,156,351,943,
973,964,626,119,178,004,046,605,425,127,431,461,583,341,335,241,796,786,749,
448,000,246,494,553,807,055,318,376,542,631,604,056,000,146,152,654,461,813,
670,856,274,872,116,286,016,135,211,115,887,194,106,272,397,604,279,080,768,
029,724,767,728,740,089,961,855,312,133,013,773,360,383,790,374,833,380,439,
557,415,967,880,310,962,816,432,369,353,726,151,297,814,231,827,069,559,783,
514,715,843,687,309,726,363,054,095,200,754,869,390,521,175,563,974,759,233,
106,637,833,732,380,007,110,491,397,693,083,794,410,746,729,485,850,836,284,
649,630,527,893,807,683,471,481,357,643,935,987,930,735,497,689,169,626,045,
466,616,125,631,790,246,570,058,367,891,924,273,373,658,308,183,412,865,732,
828,168,292,783,477,055,896,287,911,484,028,822,737,266,141,697,874,837,367,
386,177,959,119,219,284,125,689,770,423,691,081,923,453,488,012,973,929,754,
411,687,351,927,184,292,739,816,065,252,227,456,236,013,531,527,484,314,868,
890,340,591,643,847,493,525,615,298,779,779,274,468,519,927,325,924,589,163,
441,196,470,222,282,033,493,887,753,273,779,629,139,559,182,853,220,360,036,
419,385,519,299,639,309,339,458,578,247,702,303,239,010,511,646,857,294,192,
368,843,054,716,914,384,202,101,315,265,305,799,930,064,110,626,116,958,491,
966,973,207,489,205,916,901,652,586,228,306,956,088,231,941,629,936,255,064,
360,509,705,149,137,513,488,164,994,878,615,808,061,919,049,252,999,390,880,
231,896,239,111,633,882,381,988,821,178,820,487,902,863,616,326,417,153,655,
904,879,101,673,666,317,034,852,344,474,058,071,456,656,126,900,575,798,987,
208,391,804,123,315,185,623,234,745,126,667,309,149,814,939,301,716,215,864,
316,479,284,872,292,819,600,582,437,363,084,770,588,367,171,567,217,521,444,
763,833,670,396,392,170,716,744,603,976,976,581,344,441,748,849,700,332,588,
802,040,855,013,179,755,004,670,121,615,051,762,207,862,343,658,047,219,713,
811,414,410,519,772,028,875,260,379,077,555,522,651,784,017,167,115,014,871,
661,258,670,395,550,231,558,305,909,618,371,000,307,415,256,880,027,492,088,
909,086,520,294,002,846,600,050,803,952,954,612,690,762,078,363,290,843,984,
745,268,118,786,463,762,763,389,660,404,106,137,231,716,473,558,366,755,107,
730,679,378,873,091,194,381,504,931,259,242,566,318,111,490,624,460,189,215,
671,028,245,852,128,820,783,777,450,296,681,076,182,444,192,356,842,989,765,
779,580,986,777,312,427,913,344,665,782,210,464,991,386,605,838,719,377,207,
365,431,333,783,980,034,053,264,434,713,062,696,821,581,109,520,546,714,694,
502,434,557,121,300,732,552,401,903,276,021,841,373,892,439,421,228,201,038,
296,796,913,246,072,144,897,225,792,052,497,041,763,279,322,222,499,425,931,
714,127,791,870,842,649,400,635,401,339,962,959,332,981,878,356,378,288,144,
622,374,742,197,279,921,443,366,079,099,363,703,134,971,602,785,805,015,304,
519,749,731,220,158,023,587,104,846,868,411,919,142,009,445,767,721,806,294,
109,128,135,508,682,230,185,874,178,966,792,071,662,119,406,393,943,006,272,
570,040,331,784,100,992,657,776,920,526,839,467,319,988,598,931,830,330,466,
995,089,103,660,439,627,233,164,271,355,373,151,730,782,415,230,598,827,138,
564,974,146,015,271,320,191,570,759,656,313,448,225,977,017,584,080,910,529,
929,506,056,508,592,258,717,617,653,810,349,041,471,120,738,552,727,167,177,
744,011,970,242,872,771,535,753,265,648,857,158,379,886,484,759,025,454,307,
361,415,428,193,135,727,405,750,615,514,309,237,428,653,226,618,858,105,169,
077,298,682,507,515,447,631,558,375,401,101,390,586,064,000,809,126,123,232,
439,755,883,380,653,872,336,682,234,297,223,177,337,680,713,001,821,820,056,
861,425,019,363,339,588,662,708,476,101,197,176,081,505,450,917,050,365,130,
602,759,342,393,418,288,220,111,565,455,680,903,317,275,172,120,302,316,371,
756,833,126,606,930,938,733,449,216,097,317,960,808,865,399,008,703,219,195,
209,661,724,717,243,005,327,434,580,699,554,785,388,617,808,449,538,651,867,
009,015,429,654,046,379,126,260,503,798,564,393,178,179,735,346,533,004,147,
776,491,290,436,865,852,629,994,209,393,703,885,684,187,987,244,194,066,296,
443,817,326,146,622,131,220,340,688,331,746,644,576,357,632,602,288,599,626,
940,767,362,845,923,304,225,875,312,007,558,899,408,860,460,011,075,318,820,
801,731,165,513,646,048,892,019,387,029,730,608,236,321,183,190,126,413,493,
091,461,226,587,473,257,563,779,780,274,779,402,707,459,177,422,577,870,841,
559,251,438,992,993,343,959,330,471,246,176,062,780,361,408,486,854,752,150,
019,169,607,503,797,289,511,492,761,098,766,408,544,859,815,459,859,828,437,
067,144,046,078,116,245,745,529,561,381,407,256,989,062,724,331,131,604,058,
157,857,813,257,081,282,138,248,987,638,113,049,483,935,283,292,363,316,171,
095,157,997,225,349,959,598,550,308,456,033,735,521,280,214,767,104,976,053,
686,383,530,297,629,611,935,649,413,278,422,744,825,887,302,352,756,237,748,
704,376,807,919,368,538,231,538,912,436,700,337,331,466,644,350,671,017,221,
445,148,923,813,780,591,204,355,966,128,267,795,772,481,180,065,455,836,894,
214,480,792,636,405,887,469,610,882,816,539,964,385,011,457,459,907,382,938,
387,512,641,128,554,665,462,657,171,451,726,829,754,490,286,859,097,985,923,
201,928,130,907,804,357,670,383,157,539,935,018,549,781,821,406,938,657,018,
242,919,074,184,689,008,122,435,105,864,665,326,010,437,945,416,684,193,033,
099,793,293,272,534,501,680,782,539,470,546,038,818,225,349,748,603,816,064,
631,850,493,780,816,327,600,469,637,859,452,099,272,732,712,772,207,830,067,
375,836,087,597,781,407,078,889,118,777,897,821,124,908,126,124,458,709,779,
314,577,826,425,867,282,003,973,528,203,084,666,169,824,521,472,715,880,403,
693,829,805,646,883,560,496,245,883,149,440,434,169,384,743,842,274,299,518,
744,547,267,159,732,076,563,329,993,484,294,160,652,277,372,249,926,651,165,
703,254,378,826,490,674,275,440,830,208,387,458,056,668,249,133,703,891,541,
097,774,775,970,585,628,180,939,861,667,248,483,900,767,471,878,693,840,940,
893,444,148,058,331,289,007,986,998,969,804,478,097,776,668,630,687,496,955,
291,002,124,976,461,748,864,859,160,048,915,029,440,920,044,804,749,629,669,
212,223,908,278,171,872,854,157,629,096,013,390,743,516,993,326,943,574,320,
184,337,743,431,640,683,437,840,434,170,819,213,849,027,244,030,898,304,193,
147,387,905,810,028,842,465,857,375,710,496,631,387,928,257,437,703,355,954,
271,157,185,834,971,949,009,508,134,955,504,718,816,831,402,182,802,012,514,
124,394,515,568,433,959,099,605,856,560,488,605,917,630,606,855,628,402,956,
807,277,130,677,845,577,712,405,032,921,083,007,007,606,599,292,913,670,509,
087,330,114,346,947,081,288,200,928,982,632,968,427,630,623,808,799,886,582,
707,091,858,316,704,534,442,606,306,243,578,951,321,741,724,993,091,682,593,
096,831,560,337,371,550,270,475,738,290,955,404,238,741,008,650,342,395,138,
066,781,933,399,490,768,088,455,798,225,399,003,675,791,556,607,475,700,011,
705,021,300,690,879,274,551,687,508,375,434,335,132,436,736,104,953,613,304,
411,949,746,706,939,508,683,691,650,672,274,378,611,670,653,359,150,444,730,
099,130,649,142,133,269,135,787,764,257,431,895,229,896,910,353,131,821,490,
880,859,178,714,143,519,937,527,027,167,029,108,923,358,711,569,073,229,949,
974,294,917,924,401,571,640,368,113,778,581,653,620,156,801,412,497,363,483,
835,734,178,819,544,874,301,600,787,973,035,239,544,966,983,685,663,921,858,
955,990,122,885,022,285,189,027,161,468,227,229,517,526,458,166,016,346,528,
456,192,144,483,895,957,721,612,810,612,660,779,783,136,428,640,353,151,250,
167,995,086,562,613,039,391,689,016,282,048,453,126,948,974,537,006,629,960,
163,599,632,311,494,865,921,427,798,215,112,956,999,196,104,910,457,861,188,
388,359,589,925,902,524,855,912,671,220,421,151,563,969,186,063,429,750,173,
171,055,511,538,132,027,446,008,169,540,907,643,136,965,438,880,468,070,755,
016,944,282,274,037,717,644,805,445,681,329,493,028,462,757,150,024,770,692,
436,429,984,795,658,366,770,735,634,771,888,017,130,645,092,924,925,955,827,
185,968,361,938,933,796,221,975,455,205,805,790,179,848,053,121,183,811,107,
756,862,463,531,615,451,355,659,144,728,695,084,899,516,172,378,490,298,866,
190,656,721,738,545,471,212,433,104,886,155,998,279,622,568,837,625,723,394,
274,819,189,335,124,249,510,257,164,724,896,730,246,910,796,463,808,037,340,
479,690,605,307,432,864,138,736,429,594,261,401,683,790,415,613,720,587,069,
308,695,678,350,523,063,571,553,629,719,198,857,320,131,941,499,263,263,203,
609,703,582,162,058,482,643,217,721,254,342,620,721,452,691,774,832,881,311,
489,109,219,530,100,124,012,935,664,693,263,979,588,336,229,500,779,503,834,
327,229,309,949,025,469,021,667,634,091,943,882,133,264,453,106,275,049,577,
587,329,778,860,314,860,485,778,916,827,578,506,315,501,681,249,522,324,488,
457,693,372,154,461,740,939,271,582,908,678,467,814,149,945,220,680,956,200,
359,455,574,292,975,085,769,519,005,231,509,614,084,650,954,910,836,831,674,
841,668,358,601,122,217,527,986,495,356,209,840,152,106,707,139,411,843,960,
007,690,147,845,649,196,071,911,382,188,473,855,997,037,402,239,266,661,592,
674,014,356,077,581,650,710,544,431,352,025,315,844,762,054,717,471,800,704,
279,560,892,137,747,966,351,338,173,568,175,673,981,182,876,917,838,467,782,
409,902,521,635,625,167,593,416,642,795,690,631,521,977,263,686,123,537,415,
307,243,408,152,579,118,643,285,888,664,757,147,960,399,346,015,707,646,760,
947,907,567,155,594,072,815,829,130,094,834,707,490,430,904,859,821,921,178,
071,320,965,184,617,505,739,703,504,175,065,216,942,886,372,232,776,779,831,
577,450,716,099,294,618,007,633,404,451,669,718,549,148,073,501,069,299,847,
327,296,762,529,416,311,006,103,777,699,612,174,127,550,774,904,468,459,871,
678,642,666,621,926,641,915,893,309,264,712,880,005,946,885,805,179,394,750,
539,405,959,378,426,584,574,531,949,695,561,731,230,346,047,086,038,916,580,
225,071,639,702,012,740,500,303,074,319,032,276,536,297,031,268,388,168,023,
675,259,399,928,177,803,241,917,853,022,996,679,029,545,763,264,646,916,900,
993,413,895,990,211,614,890,564,668,707,147,401,167,760,287,171,697,059,012,
347,608,376,335,320,316,928,505,079,744,878,076,817,961,679,884,628,554,324,
870,623,542,289,398,654,473,121,664,748,507,979,424,151,090,911,616,525,855,
875,454,011,464,278,613,172,465,737,076,089,859,312,947,061,230,603,371,345,
309,924,138,153,394,291,896,260,936,687,406,693,200,219,920,255,115,739,964,
312,139,962,730,380,676,336,031,278,006,320,239,358,460,811,704,646,540,715,
494,097,042,691,107,009,515,069,832,854,899,664,271,179,717,511,147,257,017,
791,964,824,678,056,808,904,323,125,196,029,942,811,432,162,355,313,520,871,
416,181,462,562,172,504,495,473,188,796,384,659,057,708,148,249,106,774,888,
656,877,983,973,232,636,182,609,697,839,469,827,779,764,734,428,215,279,795,
946,650,486,878,523,339,623,071,851,630,989,945,923,090,675,225,349,676,881,
036,199,423,068,284,920,603,525,426,720,430,326,380,737,991,228,584,325,297,
743,371,445,165,177,843,884,508,987,521,615,370,674,903,060,653,363,453,549,
246,437,786,569,126,648,723,479,166,624,394,950,599,902,013,748,632,012,298,
737,819,900,489,276,003,287,638,330,273,585,184,011,662,655,022,905,845,486,
330,766,536,677,861,533,831,368,281,151,924,348,510,997,504,740,527,276,060,
188,855,122,666,458,459,389,775,157,360,153,510,330,470,403,749,087,942,672,
953,842,447,693,867,668,903,236,019,185,020,369,860,840,634,159,541,879,741,
100,353,271,731,521,087,391,551,033,561,137,589,542,771,730,573,108,650,538,
293,516,964,666,053,637,205,444,981,234,634,413,726,483,774,470,778,725,771,
992,246,926,937,741,208,370,749,365,594,425,035,165,588,718,938,026,080,046,
583,665,459,062,868,371,494,836,157,188,778,687,016,880,378,547,016,867,217,
648,902,599,383,477,670,427,279,560,495,611,357,300,016,410,293,809,199,881,
542,589,185,428,389,450,624,193,470,128,082,916,490,476,727,740,353,689,446,
069,107,264,176,457,634,222,926,411,387,999,146,868,257,366,465,355,216,774,
611,744,734,486,970,818,860,107,578,107,373,869,043,263,484,193,908,288,825,
873,780,405,633,326,609,598,153,159,245,657,208,324,825,067,892,238,489,427,
729,020,384,130,590,002,521,564,724,054,947,216,240,170,532,468,417,302,699,
731,651,072,594,154,657,231,320,991,999,689,341,608,158,657,154,223,215,267,
512,607,664,354,362,911,338,614,519,325,171,443,347,088,510,138,738,647,861,
726,857,200,472,604,246,029,617,002,769,466,381,007,176,858,618,040,769,041,
788,009,501,852,317,689,464,477,172,618,063,607,890,443,838,652,548,781,548,
791,313,668,048,625,812,561,683,293,400,780,722,094,645,455,887,744,766,668,
310,429,071,546,291,315,976,614,088,931,325,234,388,399,263,508,972,781,435,
354,849,655,582,550,889,927,128,253,051,939,013,399,747,154,014,728,278,534,
520,792,650,766,116,920,217,543,128,774,380,827,600,391,741,407,713,454,209,
349,315,289,481,996,974,764,768,814,062,647,816,714,666,685,709,217,199,759,
754,685,823,119,147,975,940,325,421,275,016,930,658,401,457,011,907,313,442,
537,500,817,770,457,169,399,551,224,449,675,366,023,894,351,144,949,639,930,
564,045,444,234,059,215,334,284,375,057,557,900,535,809,310,855,453,258,090,
858,989,856,380,547,453,319,070,121,514,163,225,447,440,883,070,504,471,354,
804,586,719,118,559,875,490,477,895,682,161,407,525,256,617,522,071,720,977,
134,868,700,138,110,135,352,003,579,694,220,317,717,872,515,901,183,394,847,
834,408,577,254,861,760,433,719,456,696,762,086,261,687,605,684,135,269,566,
494,186,746,135,061,111,952,779,104,148,749,649,903,922,115,969,633,260,360,
228,657,427,142,639,266,572,157,517,254,996,833,370,356,651,160,578,530,713,
174,308,305,589,977,242,267,873,452,270,859,686,263,534,835,234,720,919,383,
315,303,893,812,760,663,745,753,965,431,588,650,037,408,724,187,741,247,142,
097,862,798,948,134,004,864,987,231,819,838,852,071,174,589,046,081,638,899,
222,672,643,437,239,730,763,979,124,661,539,352,382,379,865,558,082,944,937,
203,988,212,421,807,295,476,887,338,540,377,121,588,677,891,805,772,674,655,
468,970,915,496,447,585,788,226,435,146,863,190,203,351,384,480,925,912,537,
337,254,815,618,379,249,630,175,214,669,832,947,770,626,726,540,998,807,257,
337,145,619,022,073,239,800,916,939,908,699,367,018,828,763,467,393,764,627,
601,931,833,832,510,454,139,746,982,050,695,287,431,994,851,082,694,305,088,
082,313,301,424,973,290,618,771,031,291,769,110,279,870,160,262,262,768,227,
912,881,687,801,642,826,656,168,701,023,909,112,834,979,689,466,073,685,003,
567,538,172,360,882,179,991,499,281,862,680,983,531,441,153,839,352,172,712,
673,168,414,457,850,759,683,747,185,269,934,592,392,808,979,281,031,360,016,
238,183,090,247,419,224,501,515,150,346,081,540,456,304,251,014,738,528,342,
241,074,845,073,873,367,447,387,275,095,009,857,616,822,928,697,573,399,790,
894,814,412,872,454,485,955,111,557,702,651,713,631,950,556,440,808,764,314,
723,474,982,180,652,374,518,067,159,923,521,213,841,069,283,942,295,999,222,
116,343,023,634,225,322,179,584,703,380,772,705,654,649,901,453,246,078,528,
410,655,068,233,242,725,277,324,670,815,991,956,724,246,411,769,211,032,223,
718,340,700,075,100,267,125,822,962,382,956,463,825,968,726,282,924,361,884,
172,423,398,412,245,237,647,112,484,534,318,829,632,423,006,920,742,304,218,
564,260,860,428,496,539,443,078,194,115,690,535,182,596,787,011,003,805,593,
101,152,483,908,929,363,572,413,561,097,227,261,856,568,815,516,484,309,286,
199,772,523,661,541,477,673,099,192,286,401,605,125,982,426,144,252,212,522,
204,949,185,030,977,879,003,309,630,371,078,654,539,312,228,249,270,048,851,
894,483,807,311,113,009,252,176,960,783,652,953,276,940,145,686,267,112,246,
496,815,863,974,927,815,431,958,538,453,069,908,695,017,911,558,079,535,618,
354,240,322,088,463,781,420,971,073,084,955,229,255,800,724,864,177,039,032,
245,963,765,686,702,170,990,589,291,708,768,665,550,017,502,573,756,178,485,
040,525,757,075,269,976,931,400,059,642,790,305,920,253,907,152,891,324,775,
524,987,959,423,158,238,496,519,198,648,813,863,133,968,699,675,339,057,043,
176,883,348,983,904,379,358,976,155,052,878,456,591,762,027,667,346,147,195,
423,030,730,440,720,201,013,259,541,441,148,422,982,150,268,690,369,305,981,
763,180,812,500,062,215,606,638,292,049,138,275,864,858,340,618,129,568,598,
074,947,640,637,490,835,683,016,098,628,176,881,923,147,576,938,299,382,011,
162,641,573,918,448,879,303,334,519,911,666,198,453,235,601,574,380,144,499,
289,847,308,691,855,323,607,755,059,475,390,370,840,751,012,492,032,418,808,
723,983,359,021,396,845,061,390,988,586,449,542,344,438,621,004,184,450,657,
480,763,213,065,349,087,092,650,932,120,708,543,467,474,884,460,872,838,855,
421,725,672,042,987,541,602,518,504,662,003,247,635,077,687,822,271,560,726,
253,228,770,038,714,441,400,099,389,317,590,769,852,180,990,108,430,157,479,
350,039,005,782,143,196,214,840,593,709,520,946,953,002,741,433,937,711,116,
295,221,740,017,353,094,903,537,445,536,395,825,879,846,065,520,306,845,550,
329,744,385,636,391,814,990,327,733,039,315,066,126,210,231,946,799,399,428,
447,128,895,946,903,837,673,561,574,438,379,917,038,384,157,939,939,147,458,
777,376,778,264,416,842,011,959,747,611,934,306,743,371,219,676,641,909,749,
533,648,845,199,816,739,868,344,174,784,464,607,050,382,088,500,133,013,729,
992,111,062,132,194,863,604,921,583,256,066,475,806,712,075,746,704,136,867,
643,973,190,071,936,533,405,860,737,721,311,040,788,957,050,524,808,283,220,
970,579,931,623,458,515,680,183,559,204,388,302,224,063,323,866,911,051,813,
719,793,178,224,199,484,151,670,334,898,790,699,710,484,573,403,413,606,395,
617,038,118,842,318,981,714,478,531,161,069,367,758,379,288,345,401,219,642,
004,783,206,238,652,473,385,552,965,028,200,233,019,262,535,242,161,907,516,
312,642,478,308,510,791,695,580,519,040,891,634,599,650,719,081,340,572,022,
896,286,667,005,291,952,999,880,535,843,376,381,410,796,667,652,467,431,023,
433,015,249,633,375,712,686,626,997,140,214,937,025,175,353,979,482,870,984,
303,996,432,990,939,207,590,247,894,622,956,475,611,709,788,552,233,886,897,
965,642,505,203,720,497,815,838,334,763,382,982,375,594,404,599,685,445,524,
916,931,880,616,494,586,021,219,259,682,212,606,037,672,002,548,925,212,420,
063,543,118,658,541,707,403,813,133,781,554,165,327,229,522,059,588,612,045,
843,000,888,705,546,715,156,553,707,349,935,610,545,793,880,619,926,865,664,
041,576,399,835,191,435,694,328,192,534,277,162,788,332,466,099,706,453,628,
438,196,427,652,481,853,345,808,665,459,081,645,170,578,443,574,806,937,857,
553,068,876,382,982,275,741,573,367,020,166,350,108,259,280,880,077,046,570,
648,224,625,190,903,729,071,194,950,409,556,357,949,981,025,082,243,115,113,
211,180,580,467,920,068,558,634,111,194,905,053,186,556,950,566,710,051,340,
657,617,870,095,981,555,743,153,017,858,310,131,339,350,730,263,995,199,575,
510,341,127,896,939,100,170,605,245,039,841,149,375,427,258,367,063,031,379,
007,721,358,593,308,074,173,773,358,135,264,286,078,011,153,936,115,525,826,
889,463,956,081,002,684,840,591,604,580,721,078,840,518,818,775,726,155,234,
984,693,758,639,647,875,945,020,359,247,144,158,368,231,074,625,505,262,970,
268,623,830,182,512,787,476,370,091,519,459,223,964,124,619,347,545,334,150,
450,789,145,145,818,250,015,536,549,784,741,769,745,909,317,180,383,799,614,
339,333,122,220,738,725,522,206,076,979,253,927,188,861,093,018,709,580,484,
947,194,387,372,831,941,095,254,619,063,845,844,704,955,546,014,471,721,919,
929,603,975,080,306,262,677,836,057,310,420,986,968,345,496,973,214,604,361,
815,698,707,775,860,819,058,095,590,281,260,643,704,771,262,951,174,260,202,
269,000,848,654,337,588,379,861,028,388,215,151,630,602,056,676,814,471,348,
370,400,070,599,278,806,669,868,422,166,721,773,678,561,892,686,971,706,325,
610,361,272,094,129,614,859,722,206,894,603,088,696,495,611,357,182,006,313,
669,424,909,421,019,328,776,044,566,361,379,192,847,313,420,425,106,556,488,
991,794,727,132,245,908,254,050,839,545,569,420,586,984,084,210,525,507,467,
371,623,215,331,712,080,804,217,315,115,557,781,998,219,816,572,975,852,253,
773,098,458,378,979,064,210,005,283,400,654,355,631,765,280,244,160,069,441,
919,035,209,796,681,636,577,517,857,528,651,329,035,457,575,978,466,294,677,
412,467,552,888,574,047,454,690,912,683,276,562,864,370,958,366,343,888,861,
283,922,587,945,583,690,405,159,231,559,488,421,220,473,281,931,328,002,507,
909,865,430,115,290,733,573,346,524,366,092,656,981,538,707,793,644,607,317,
342,881,834,397,794,684,091,896,408,357,173,209,860,678,140,266,091,570,385,
993,047,432,827,859,398,659,677,857,211,346,191,238,157,091,778,042,749,210,
064,873,307,088,411,591,735,834,149,454,023,000,765,381,405,563,794,971,348,
736,136,826,082,629,151,324,996,514,223,375,029,249,550,174,325,435,367,733,
330,995,913,201,602,804,452,197,593,326,042,336,387,371,839,884,400,775,627,
584,267,072,611,618,578,309,834,460,422,399,898,425,844,262,428,882,266,734,
892,326,158,117,523,613,069,037,380,145,397,024,768,326,679,988,091,148,798,
208,542,042,806,090,792,801,315,541,293,318,369,674,319,085,806,830,383,393,
222,365,507,860,638,333,113,004,044,607,660,103,371,653,171,511,903,582,394,
659,433,164,137,663,420,328,838,698,848,198,324,946,883,124,016,536,559,451,
837,565,153,357,043,034,535,365,381,052,370,293,867,154,254,985,995,364,391,
874,110,042,848,501,990,183,414,993,555,147,769,641,165,793,046,100,798,733,
636,280,334,447,187,054,161,788,626,127,553,898,407,902,746,602,045,368,706,
052,538,393,645,071,103,572,113,135,539,708,267,003,221,492,654,329,352,596,
264,503,529,345,523,264,419,257,340,626,979,272,038,784,972,089,143,942,138,
976,968,596,718,348,262,277,770,769,605,754,291,068,730,225,063,332,774,942,
735,328,258,514,579,188,785,735,895,665,196,135,565,818,755,484,287,100,215,
160,134,577,870,879,514,835,093,064,884,134,101,728,163,624,263,409,754,912,
611,258,285,013,403,645,084,522,129,195,941,825,754,028,213,478,776,500,129,
809,081,984,595,454,814,678,322,790,642,209,122,230,635,236,561,356,454,738,
303,119,942,037,176,100,372,159,707,108,141,785,004,145,804,688,986,292,563,
186,815,584,157,505,575,575,653,664,846,528,863,208,342,160,794,248,276,533,
329,086,945,595,821,869,272,157,430,147,054,624,913,160,029,052,762,450,035,
593,525,871,685,985,075,234,452,543,564,067,378,738,763,901,792,778,800,157,
592,640,896,058,326,443,902,455,798,874,901,746,076,812,028,178,757,516,325,
582,791,184,614,475,489,137,246,571,698,827,281,404,158,932,288,255,037,264,
785,021,848,052,219,879,366,528,202,195,053,847,215,550,411,395,369,757,606,
602,063,323,809,758,513,665,217,485,447,516,614,498,879,755,018,670,009,578,
237,425,868,487,140,273,941,760,462,955,103,759,095,224,101,735,175,475,855,
527,654,357,505,411,407,773,875,077,307,703,733,387,318,448,173,734,822,977,
674,048,470,839,745,041,952,382,486,134,486,273,342,328,373,478,470,612,566,
016,154,163,933,559,944,412,203,225,326,560,759,619,241,665,199,843,983,276,
582,513,645,691,387,490,935,533,417,542,465,834,840,187,029,953,168,192,153,
899,077,123,017,363,615,408,544,382,779,324,908,726,493,940,277,946,141,626,
921,293,738,579,952,175,182,415,412,608,560,853,028,543,619,638,918,780,621,
285,462,466,592,564,961,502,641,713,218,311,717,174,859,041,707,024,425,964,
085,923,421,942,749,654,147,765,072,659,764,992,251,305,634,381,923,167,802,
871,359,045,973,871,819,059,690,122,508,430,486,569,752,896,919,456,147,129,
966,991,678,330,956,413,712,318,785,609,231,228,173,968,621,469,705,590,435,
225,031,019,013,665,569,034,461,413,921,850,486,446,557,446,351,523,529,306,
525,816,385,755,835,997,700,789,536,308,478,522,579,741,558,992,712,770,935,
835,307,391,573,699,894,979,817,015,740,885,837,299,083,996,900,990,380,883,
621,162,428,236,527,257,531,657,998,519,067,866,365,844,391,171,602,533,317,
406,344,503,796,522,878,974,453,186,822,989,047,435,676,602,825,104,462,806,
078,458,105,211,516,382,067,756,243,027,247,123,316,734,145,495,530,642,881,
250,732,994,605,710,989,843,370,831,186,727,723,605,695,465,451,382,782,412,
508,033,787,822,166,470,090,279,649,030,023,328,381,773,843,595,019,922,036,
568,728,594,164,944,987,181,058,737,397,081,722,383,244,404,453,868,575,165,
441,042,079,248,260,439,373,028,570,141,129,389,149,807,190,676,281,284,027,
194,685,191,705,259,141,975,928,907,676,026,588,780,074,026,555,920,615,251,
616,588,776,057,997,907,776,123,099,079,409,371,386,518,402,917,040,115,956,
147,310,565,939,319,215,532,739,345,165,579,670,911,103,524,175,784,381,929,
907,193,889,098,755,831,635,308,924,214,385,052,673,614,618,947,175,638,714,
166,801,687,199,771,037,920,553,248,740,468,102,203,724,314,534,669,012,629,
898,952,465,247,896,782,508,393,159,196,765,221,028,877,388,829,828,232,675,
226,861,425,650,426,203,769,796,571,945,046,352,143,180,797,652,793,652,785,
541,273,739,218,879,374,154,037,985,555,320,273,251,226,336,736,513,953,159,
250,093,331,064,275,654,135,631,793,849,167,182,610,269,334,610,871,243,400,
576,967,721,365,098,134,792,347,271,504,035,512,916,841,750,272,111,246,768,
609,319,376,692,651,495,332,063,016,934,895,162,702,388,572,467,457,409,266,
372,710,039,800,584,560,314,429,412,153,989,399,808,920,368,875,437,579,589,
561,538,044,201,562,290,628,029,686,028,423,711,195,572,637,701,907,877,285,
287,613,750,508,936,736,114,921,795,367,352,762,811,336,875,867,671,251,357,
754,214,871,145,460,062,968,353,605,925,878,046,780,349,973,466,661,829,585,
282,998,342,360,761,299,606,255,090,120,176,525,584,469,336,626,078,154,558,
001,012,966,989,067,179,870,678,048,765,320,701,585,050,598,071,786,999,897,
736,020,358,449,628,267,132,740,085,569,904,501,761,980,410,954,713,597,601,
583,551,994,394,962,865,713,169,199,334,625,985,004,738,792,096,694,638,983,
920,047,023,369,612,955,154,420,344,680,559,818,631,416,667,016,238,142,193,
540,504,811,822,592,356,071,958,823,570,601,326,529,500,628,950,423,133,453,
503,061,266,776,303,837,946,439,520,099,834,818,151,449,304,414,354,293,114,
390,673,452,993,993,531,026,060,218,298,099,668,131,092,534,977,086,397,180,
896,427,906,396,608,268,834,477,897,589,914,318,960,782,618,430,226,914,037,
280,302,966,390,322,756,964,411,579,844,862,083,737,618,469,022,674,666,622,
632,432,679,139,282,771,381,942,894,845,000,111,477,041,784,720,270,976,872,
421,178,834,300,356,732,383,453,695,837,900,755,400,684,257,017,115,395,068,
040,483,234,773,245,647,720,530,509,796,642,145,141,840,745,301,871,105,167,
942,275,047,228,173,782,929,331,476,539,337,639,157,526,396,772,654,227,145,
457,379,046,371,583,171,266,534,721,980,174,698,671,285,553,632,211,769,606,
756,880,602,963,135,185,963,620,507,001,527,045,017,684,308,826,995,358,609,
179,429,044,309,284,744,934,901,532,656,666,396,555,631,653,068,894,323,896,
855,598,530,591,142,131,868,634,289,975,909,032,439,867,191,231,762,511,691,
959,248,153,249,529,716,595,095,248,763,412,151,044,679,855,114,619,601,125,
004,120,350,549,390,987,862,661,445,954,647,785,322,351,929,035,526,291,409,
913,337,844,198,292,312,519,830,364,103,226,216,847,934,652,329,039,461,605,
668,428,532,275,121,682,679,596,066,097,287,962,454,317,243,235,718,875,163,
071,923,919,426,802,762,148,689,788,596,291,374,954,729,549,603,183,916,281,
202,858,803,299,529,562,330,585,768,491,777,030,384,347,504,274,876,453,543,
670,104,802,704,992,208,150,647,039,821,289,570,733,071,361,093,328,617,447,
110,981,834,014,681,999,507,305,833,683,869,848,608,519,223,231,448,429,045,
055,610,377,269,325,528,056,718,481,927,611,287,056,505,777,279,278,330,499,
323,651,673,270,508,067,110,111,787,556,860,240,336,669,719,312,170,747,392,
198,237,816,260,835,945,729,391,125,084,421,448,606,697,977,254,902,847,386,
930,702,713,359,624,204,698,563,830,313,195,323,897,120,446,264,566,472,615,
693,537,080,465,700,717,951,869,122,014,946,186,469,991,434,979,412,936,232,
215,365,050,865,035,271,962,620,384,747,151,522,746,704,163,514,346,936,587,
606,706,622,442,017,634,527,524,466,184,251,766,259,914,005,918,478,941,544,
509,996,034,894,613,089,349,242,400,438,063,093,174,011,215,259,625,770,325,
415,261,110,083,855,612,236,095,944,208,048,762,049,937,340,112,383,708,287,
117,304,521,125,411,087,788,122,027,400,960,905,049,407,541,294,927,308,339,
258,713,556,798,233,277,096,411,432,092,462,898,651,524,897,706,992,617,933,
309,414,356,295,753,239,587,597,841,561,808,981,073,071,900,925,256,827,417,
307,526,778,754,340,372,778,115,954,785,356,590,839,890,479,247,748,730,738,
377,013,955,884,021,465,414,445,981,466,899,346,043,267,891,680,567,301,825,
772,137,044,352,310,023,755,603,506,738,205,623,083,997,081,201,808,648,076,
639,288,309,126,220,472,315,723,673,948,129,775,473,567,191,002,983,351,115,
823,350,071,635,020,294,513,757,899,294,981,073,553,034,231,648,718,563,571,
763,289,066,114,527,038,912,549,547,235,997,912,542,975,393,793,445,017,638,
899,939,085,995,973,499,608,470,638,917,376,580,101,413,759,861,502,850,370,
016,477,721,121,223,213,622,247,995,817,473,389,398,503,819,215,386,228,372,
384,618,496,492,060,183,968,227,767,686,715,843,857,232,694,251,995,079,339,
555,091,311,944,947,188,340,471,887,475,548,092,894,654,138,692,499,358,959,
156,065,426,813,216,444,002,414,459,159,475,146,133,364,133,230,195,230,272,
562,910,093,770,805,840,571,115,309,419,364,546,632,606,522,508,740,115,199,
605,435,731,106,983,077,081,660,625,632,169,777,801,924,543,911,838,956,171,
165,745,877,343,916,104,311,569,394,284,108,407,395,564,508,283,681,383,187,
915,856,895,065,567,070,495,146,866,974,167,955,463,525,769,510,105,144,594,
785,454,659,695,435,695,399,449,069,049,588,130,340,928,851,685,008,761,559,
507,411,156,601,547,356,870,585,200,921,725,226,103,344,684,242,100,077,287,
294,433,911,466,583,137,003,972,860,091,676,301,792,468,010,890,692,122,245,
566,909,482,941,787,780,536,916,578,433,261,463,472,728,335,334,763,354,186,
441,735,948,549,857,690,824,803,973,170,023,480,622,376,925,052,805,878,207,
532,168,921,584,933,424,251,863,277,147,197,360,564,800,287,922,130,692,599,
790,503,900,483,701,373,835,923,669,194,552,796,501,198,194,857,619,134,895,
114,182,046,024,541,858,436,325,393,107,662,846,776,529,965,342,770,343,608,
161,831,948,082,913,083,111,499,570,467,274,944,893,537,594,336,647,579,929,
009,078,238,154,777,066,506,319,032,083,085,346,682,051,565,456,548,189,587,
014,315,869,215,505,693,343,201,141,252,769,834,641,346,356,074,564,416,614,
819,168,793,166,232,998,894,529,801,254,652,821,946,300,842,755,599,764,296,
147,506,674,617,714,363,011,434,176,358,944,043,908,928,610,350,040,494,748,
406,462,491,864,708,961,191,487,875,215,827,402,864,627,027,780,837,436,356,
792,834,753,269,249,566,187,548,560,068,563,410,467,643,540,644,770,893,783,
034,008,563,482,471,576,816,467,572,923,392,799,714,715,891,335,897,573,342,
134,666,496,466,688,462,861,355,668,294,480,731,123,470,725,147,855,611,294,
517,659,327,219,577,410,668,826,843,059,949,153,302,149,074,172,321,811,341,
935,015,974,636,325,527,407,597,825,659,372,670,846,244,925,917,825,175,466,
830,340,439,115,876,582,653,564,500,569,909,505,683,459,519,054,269,876,308,
409,400,167,563,582,328,229,280,828,662,709,166,747,559,036,450,204,432,290,
883,001,800,955,490,166,475,959,502,019,299,385,917,434,338,961,831,956,196,
463,639,556,970,044,849,344,547,478,802,792,515,441,750,703,704,695,342,033,
849,692,124,693,599,239,610,076,916,772,281,651,460,684,563,625,142,260,337,
385,009,030,699,660,060,219,156,167,285,602,223,602,433,430,356,699,793,708,
985,105,152,605,895,497,682,344,450,426,839,503,883,613,059,324,305,500,968,
440,041,702,547,557,466,696,373,749,513,206,790,672,260,473,165,739,910,918,
918,232,604,134,712,925,448,634,405,212,875,717,177,325,152,414,482,345,799,
573,912,012,061,217,354,284,239,437,554,017,394,564,701,389,258,529,418,917,
736,459,761,387,084,237,904,590,915,179,846,568,816,505,937,708,058,751,438,
037,703,498,696,166,692,651,667,104,570,302,140,423,031,489,711,488,899,778,
181,290,887,634,575,408,506,186,649,967,372,130,438,005,788,387,440,511,898,
235,451,497,298,386,323,492,404,791,872,126,395,051,943,712,088,029,972,382,
180,582,915,781,446,994,345,118,211,625,676,511,420,537,575,630,286,703,502,
759,497,066,621,098,765,960,110,820,670,686,263,009,701,969,045,202,650,984,
411,954,635,127,028,207,893,446,240,776,594,991,022,255,948,682,060,796,053,
640,082,744,306,935,669,869,044,308,369,538,454,027,752,155,166,696,281,468,
148,761,692,032,458,597,661,788,757,452,275,102,534,612,117,192,865,837,739,
782,025,842,127,269,616,959,311,939,373,545,221,746,642,458,537,303,405,541,
435,468,889,574,325,808,583,385,703,313,952,783,187,609,281,670,742,264,969,
934,821,357,716,350,828,106,245,106,425,427,550,071,502,675,579,190,410,110,
462,920,878,959,247,248,026,275,084,190,614,844,547,286,962,508,009,592,722,
013,171,702,141,178,453,705,423,129,169,053,928,106,967,130,176,157,191,939,
064,592,337,999,069,425,739,489,569,212,555,301,580,913,951,014,261,915,794,
425,447,405,838,158,615,101,587,620,218,398,529,180,412,835,743,240,156,679,
710,572,836,435,199,494,198,956,455,113,639,959,156,845,576,835,166,955,528,
950,547,599,428,538,900,716,410,734,806,182,943,694,752,494,784,614,979,431,
327,652,533,317,610,883,990,183,222,291,109,920,711,563,972,849,466,063,168,
328,424,716,812,513,610,398,070,650,230,642,741,760,689,376,509,352,408,467,
626,773,679,136,564,850,868,652,854,671,073,049,806,263,592,511,738,624,768,
685,488,391,131,600,840,320,677,836,993,009,932,675,612,379,619,994,590,593,
251,369,371,828,747,918,823,513,222,300,468,538,536,164,733,530,525,769,892,
602,453,764,971,407,721,157,511,810,160,770,333,644,855,171,866,946,772,981,
271,655,311,525,901,206,744,642,842,604,860,014,404,517,710,262,235,938,125,
639,253,009,275,671,687,797,414,293,430,555,751,910,744,956,343,753,712,581,
539,073,257,505,566,493,237,425,894,997,154,010,712,579,186,875,516,381,963,
360,202,076,581,417,853,098,442,103,182,633,286,664,960,858,153,429,567,527,
381,711,210,085,718,000,136,254,879,638,972,995,039,904,231,917,509,912,394,
017,285,999,281,707,237,558,733,152,936,170,350,323,336,738,684,575,366,335,
014,764,287,904,599,498,150,126,046,475,034,565,116,093,766,702,514,991,311,
844,180,085,444,258,677,666,437,640,332,192,140,821,157,132,148,245,678,234,
874,703,495,870,010,258,195,164,946,870,581,581,121,474,981,603,795,197,035,
758,928,914,276,936,227,322,012,656,105,349,855,407,979,857,053,415,581,809,
702,596,195,783,209,005,169,872,602,488,970,515,701,388,901,180,873,969,534,
897,290,287,793,605,696,846,050,480,499,674,120,614,782,939,889,917,449,549,
915,664,385,457,123,857,803,941,854,336,825,845,004,477,767,181,959,654,654,
122,576,951,151,872,289,390,390,261,774,510,514,896,089,431,538,534,172,984,
452,895,575,412,032,277,714,706,625,776,939,834,732,782,511,982,602,255,964,
386,679,392,776,019,246,938,759,204,163,216,640,919,141,564,816,572,038,351,
799,387,461,673,059,712,105,101,927,104,046,286,958,763,014,014,835,875,819,
814,612,771,385,012,706,716,699,213,704,252,339,438,958,898,830,279,890,794,
752,701,548,163,724,449,966,010,619,403,298,288,276,546,981,545,766,072,117,
918,582,768,583,143,975,643,323,390,191,931,884,987,202,311,434,680,686,964,
380,131,269,142,091,633,699,612,195,010,456,436,356,164,153,995,622,286,261,
552,654,476,174,922,774,570,511,799,743,737,225,767,143,267,415,030,230,483,
195,983,892,870,405,723,033,871,595,861,695,769,971,351,431,937,715,746,646,
369,973,859,460,996,239,040,039,481,203,227,106,577,584,237,081,312,608,694,
362,601,538,325,167,656,355,103,819,700,819,358,822,335,403,691,465,388,386,
342,726,961,180,467,044,750,545,345,866,873,746,498,623,620,179,385,189,672,
087,142,561,032,335,057,302,519,761,030,688,343,333,242,520,392,191,517,231,
368,352,355,952,645,829,162,497,052,012,155,143,586,096,714,471,711,007,464,
000,532,573,202,670,878,432,941,173,678,752,943,522,175,405,407,761,971,775,
418,052,994,260,639,043,944,788,212,104,343,482,912,954,783,560,592,854,965,
661,548,168,417,771,794,220,623,757,375,774,271,250,664,469,798,839,663,674,
017,762,343,941,364,887,485,782,054,678,062,604,717,063,315,273,207,102,803,
350,663,114,137,558,206,252,289,174,169,537,845,775,643,868,077,649,482,200,
123,499,598,729,760,501,761,521,637,778,690,492,104,139,792,015,913,094,001,
443,187,465,185,481,667,928,066,324,651,351,621,024,594,998,303,775,335,645,
894,025,901,962,588,606,361,659,891,927,081,661,030,660,522,108,209,718,513,
829,513,763,299,821,157,679,111,888,113,179,942,585,812,307,783,381,690,120,
594,893,385,528,902,153,365,566,596,635,709,598,473,555,926,336,842,946,502,
130,941,433,585,026,576,105,839,782,866,192,384,909,570,524,082,238,497,328,
706,431,610,031,824,294,613,725,656,648,945,733,016,903,021,231,232,533,315,
026,446,919,102,324,997,826,374,196,383,887,218,340,878,971,332,735,396,293,
134,048,134,396,189,933,142,836,943,320,038,236,940,989,169,149,886,613,896,
869,630,345,210,580,637,137,796,651,057,493,901,133,324,744,994,109,751,735,
560,752,713,668,016,944,905,326,473,401,266,206,732,091,591,051,069,484,762,
720,782,690,443,312,574,262,762,672,409,511,003,005,533,522,619,564,793,691,
931,979,255,086,947,730,216,121,193,284,268,097,700,377,966,909,017,447,341,
577,805,727,640,150,587,964,647,771,594,174,060,947,132,121,291,308,807,222,
282,746,104,547,576,686,020,672,717,047,209,061,915,372,119,605,932,815,458,
275,656,285,347,852,115,551,175,799,673,762,218,468,720,342,974,160,136,211,
036,004,589,814,215,587,150,847,843,676,211,713,414,317,841,767,824,110,509,
834,606,968,977,958,621,637,019,387,619,989,503,790,916,850,485,209,330,118,
002,481,518,879,428,319,908,110,673,316,431,554,601,106,932,005,830,980,941,
628,596,943,022,573,397,282,192,729,961,422,949,347,322,274,128,523,418,430,
517,158,846,540,319,357,877,095,165,662,834,124,082,704,016,783,023,939,398,
721,546,205,957,376,289,205,151,017,846,437,960,313,378,734,176,804,979,703,
172,012,971,251,763,196,838,196,434,213,785,297,947,014,225,509,016,744,925,
422,432,221,645,002,761,475,018,791,021,655,106,938,281,867,162,559,774,577,
281,165,289,394,814,672,960,284,485,223,327,471,648,029,678,072,757,292,024,
211,600,263,631,591,922,502,054,117,607,098,029,737,280,209,174,822,379,940,
734,445,143,977,905,700,854,834,789,293,537,471,192,529,530,333,879,148,036,
139,066,377,152,263,968,933,609,223,145,906,286,989,576,295,434,420,448,928,
367,514,860,715,019,205,319,018,067,522,909,843,123,569,197,691,845,996,936,
907,405,523,885,669,701,653,810,903,147,074,140,060,571,840,503,227,135,122,
456,897,183,883,704,106,971,578,844,224,148,442,649,528,844,060,265,543,375,
924,033,936,383,390,384,033,169,902,372,794,413,499,264,376,426,391,341,474,
710,120,889,770,512,518,185,524,491,134,407,397,667,037,365,135,172,544,388,
203,092,560,838,142,636,756,744,417,682,652,782,151,403,150,308,588,827,986,
677,750,900,526,689,039,427,038,956,910,588,250,721,991,907,593,726,250,242,
911,051,982,849,613,571,397,134,876,669,758,835,283,632,443,343,736,393,016,
913,591,669,380,166,163,301,105,608,909,821,308,921,562,426,561,060,921,698,
493,376,186,202,775,101,300,555,481,530,354,688,595,194,965,712,290,453,821,
056,847,822,444,377,062,996,867,153,045,194,535,586,015,027,365,764,334,158,
944,994,579,174,902,965,186,892,715,687,812,312,690,330,102,444,241,342,733,
925,193,607,780,309,027,669,343,159,833,981,489,296,016,304,032,919,369,917,
774,675,579,243,055,895,084,515,591,287,573,801,114,783,091,332,517,106,844,
503,280,363,323,151,968,760,309,299,332,489,680,618,542,721,907,076,119,974,
504,630,802,351,878,544,060,306,742,294,444,999,429,186,606,160,666,116,101,
210,758,549,990,540,521,706,368,323,982,792,342,428,280,695,205,062,595,888,
793,143,297,843,870,487,719,669,979,083,227,578,468,788,923,324,232,004,712,
976,620,471,261,815,754,026,466,653,301,539,091,968,071,098,804,336,118,584,
718,098,071,481,899,972,194,819,182,049,115,332,971,981,973,366,673,595,751,
799,628,232,738,853,224,263,689,132,143,833,483,839,922,626,160,017,803,992,
689,999,768,406,874,764,371,011,944,474,838,331,742,398,007,069,193,352,175,
919,489,352,693,199,638,833,892,802,382,366,129,687,132,013,984,437,430,361,
914,027,750,982,700,542,980,488,520,790,306,334,777,476,559,227,603,400,234,
373,421,750,316,613,597,331,210,429,608,640,759,510,407,192,283,633,206,877,
774,165,586,935,562,414,259,403,878,375,911,897,236,012,253,914,718,269,611,
314,354,189,228,564,828,567,515,271,631,213,945,682,278,349,579,992,671,614,
026,289,282,377,597,150,464,031,031,973,111,810,605,246,483,656,733,687,033,
337,285,056,054,310,011,415,939,407,749,237,541,261,264,263,364,451,897,225,
347,615,242,925,663,655,262,039,329,238,416,485,105,077,393,494,997,937,765,
378,175,666,968,989,847,619,235,523,798,501,239,034,468,833,570,662,880,337,
474,833,461,133,809,578,358,018,575,508,420,592,112,408,741,532,372,485,787,
592,470,514,592,410,159,464,643,764,012,049,625,522,912,671,004,771,687,283,
739,392,723,263,582,885,182,451,033,110,285,891,523,263,104,527,526,172,598,
646,951,978,663,705,602,519,543,553,353,729,548,642,743,718,392,214,507,449,
864,704,358,568,473,668,583,289,437,074,113,413,268,046,120,402,768,292,476,
266,186,080,527,414,629,623,858,142,656,508,085,692,274,631,087,471,538,225,
678,311,163,945,315,924,726,364,656,663,949,225,923,307,616,356,237,698,633,
386,404,541,815,435,480,148,479,172,116,073,671,034,951,581,092,546,123,405,
813,480,292,439,188,170,938,272,996,226,302,761,347,736,650,340,314,357,682,
028,976,683,283,271,848,819,985,950,932,441,702,085,533,851,229,632,437,825,
489,197,268,681,357,456,191,997,127,038,660,921,130,393,140,313,791,767,669,
913,943,601,609,816,757,479,664,143,039,327,533,426,777,040,326,482,166,341,
675,596,697,620,824,940,125,847,458,920,636,872,183,066,917,078,556,232,216,
738,310,909,615,769,473,759,594,920,706,689,891,708,875,505,588,137,788,152,
371,663,064,438,722,095,904,206,545,175,948,196,990,164,526,116,848,014,792,
182,838,959,820,875,956,689,637,315,247,642,363,653,389,089,028,768,818,923,
069,293,303,616,825,292,652,330,377,088,248,464,121,301,055,938,960,135,658,
136,238,153,995,155,039,969,235,608,853,514,167,198,911,976,169,986,345,336,
238,537,280,195,181,452,723,875,967,727,566,628,693,011,716,315,174,057,100,
548,761,716,671,168,395,431,752,032,445,918,867,941,909,387,738,645,522,667,
327,109,423,404,286,834,801,930,506,175,856,648,894,841,072,842,274,019,146,
081,705,542,125,299,195,677,194,618,500,395,788,223,321,025,602,070,672,445,
061,262,965,669,721,113,256,651,882,393,754,240,749,346,406,158,396,514,811,
484,750,781,983,526,140,147,482,398,572,818,213,070,769,911,430,985,643,566,
664,184,132,891,421,299,535,714,640,484,361,181,832,698,971,198,945,742,330,
665,830,975,885,205,611,702,743,847,083,311,008,800,644,096,614,237,663,311,
262,628,676,501,929,524,929,921,757,603,739,683,985,136,001,803,483,092,085,
391,023,599,585,225,702,454,048,849,756,765,105,233,119,369,993,933,457,744,
715,485,840,581,398,144,080,664,327,436,883,219,159,144,781,645,415,551,942,
478,109,632,712,159,789,537,047,826,898,518,999,147,179,802,400,373,258,278,
716,104,447,881,010,931,494,606,727,331,021,029,514,909,178,674,571,513,285,
607,198,812,379,369,940,157,482,303,098,746,281,565,632,151,640,030,906,982,
929,444,287,242,206,765,435,388,220,533,192,099,065,768,681,779,007,615,505,
640,424,437,984,629,282,902,858,053,760,123,785,339,654,416,157,468,519,377,
233,917,079,704,740,832,599,958,064,113,014,685,741,340,943,575,609,714,119,
202,354,431,121,056,335,430,494,504,905,827,706,983,313,642,881,541,638,842,
398,671,707,917,896,835,110,825,340,998,801,525,048,544,842,876,458,302,039,
414,507,120,992,678,120,315,644,830,218,311,896,587,425,770,007,069,970,654,
739,026,494,743,449,325,457,920,679,522,964,372,562,828,210,572,301,960,494,
953,433,768,148,624,851,549,047,515,770,521,868,573,436,806,779,401,570,521,
035,562,580,284,055,091,639,672,925,979,543,989,239,563,885,018,383,327,082,
240,469,334,531,933,954,812,016,367,770,798,447,632,993,836,410,234,518,553,
498,307,601,869,985,427,515,440,837,020,117,955,976,941,318,886,835,077,820,
123,346,862,103,188,303,602,733,992,720,168,712,822,537,173,744,786,103,576,
080,445,898,970,185,782,842,573,705,923,941,999,318,752,922,516,055,322,514,
282,482,643,379,084,352,081,244,882,714,673,453,588,844,861,817,073,987,786,
258,247,136,123,640,395,946,399,759,384,538,503,383,307,055,998,446,655,138,
885,775,692,522,977,720,821,547,977,602,036,231,382,405,074,928,229,276,277,
933,083,436,861,783,338,951,527,337,706,199,160,010,180,160,921,770,762,450,
182,406,140,814,281,943,379,041,320,543,117,327,526,046,529,073,130,364,323,
214,559,204,710,944,162,599,334,060,756,331,029,096,406,034,934,250,812,267,
745,371,935,921,819,112,602,345,248,698,490,970,922,332,226,883,513,853,462,
072,301,724,339,876,835,872,254,078,318,310,009,718,850,694,381,941,816,010,
033,039,720,261,714,649,857,630,776,765,508,836,860,349,573,211,688,506,093,
746,692,768,883,523,878,462,601,154,341,767,320,591,846,772,872,626,050,113,
229,161,132,353,774,512,108,461,356,623,051,167,739,941,649,855,235,042,101,
428,971,070,414,957,763,867,633,804,740,688,428,338,824,766,907,866,118,902,
550,492,860,106,169,583,236,333,236,345,181,212,412,800,866,637,180,440,237,
039,918,597,384,821,351,680,254,494,045,208,323,790,718,106,711,276,078,431,
399,513,085,042,362,397,382,461,512,719,028,739,569,070,912,386,212,397,285,
262,354,305,100,690,847,876,168,190,385,393,867,272,738,380,335,950,313,104,
159,171,281,926,579,139,871,290,555,736,242,791,355,731,636,416,662,875,012,
396,538,608,163,519,054,787,220,598,962,039,587,441,181,994,604,223,549,870,
601,653,318,362,621,964,136,571,558,980,041,948,857,509,485,144,529,260,547,
786,120,996,195,628,538,726,108,945,905,678,440,506,772,573,678,031,133,266,
589,158,891,327,497,748,472,658,002,806,801,765,227,354,396,816,131,686,238,
494,877,842,365,772,968,040,903,049,064,310,520,645,548,025,933,175,520,340,
242,261,362,013,644,632,392,358,384,076,591,143,186,526,266,750,800,978,589,
183,067,049,971,643,395,229,568,796,875,710,864,655,441,387,037,899,115,397,
686,891,542,466,563,887,661,333,402,668,524,265,250,774,183,272,541,909,433,
356,128,939,119,232,844,920,813,521,230,606,076,849,414,426,049,670,938,593,
545,788,951,926,631,931,591,551,909,470,936,648,865,052,712,490,327,175,645,
543,449,382,766,017,928,753,518,519,521,486,703,742,173,778,603,102,790,131,
782,658,939,130,988,685,888,993,927,268,396,635,147,181,712,412,765,592,748,
144,622,398,250,278,454,139,707,973,480,744,660,927,818,331,144,216,658,807,
061,287,816,744,506,014,178,830,117,987,188,744,292,573,217,675,185,809,567,
894,786,110,362,039,392,777,029,185,634,367,053,794,802,716,270,244,237,226,
073,905,302,852,289,118,210,095,744,065,419,408,119,922,718,586,632,170,044,
458,343,308,299,925,513,741,007,044,600,874,623,017,961,924,689,261,381,683,
107,732,065,224,721,307,916,031,745,927,533,754,967,178,290,192,422,469,658,
450,162,573,538,187,882,326,319,131,916,825,999,926,549,266,884,400,200,850,
532,962,191,545,453,171,716,454,378,870,502,447,430,219,116,120,310,014,130,
387,068,942,201,151,702,690,098,937,495,537,506,908,188,547,378,362,099,180,
573,189,849,692,517,562,389,565,716,897,700,042,945,495,965,766,157,275,727,
132,855,198,813,553,654,415,940,736,339,141,442,857,124,958,476,455,696,722,
653,898,986,982,083,834,278,058,489,532,593,191,568,683,090,857,009,505,969,
147,508,780,204,755,991,537,795,725,956,310,876,083,920,786,955,678,290,764,
014,363,380,446,104,336,870,262,812,475,814,406,975,919,333,076,353,075,800,
845,705,470,225,132,457,897,955,288,062,206,515,356,193,914,697,260,426,409,
223,861,675,307,075,331,225,219,890,051,175,178,853,039,027,318,242,789,306,
164,887,161,724,908,214,003,986,285,946,640,257,974,921,616,149,809,551,163,
513,995,668,505,300,448,645,713,971,106,605,028,092,326,329,720,176,499,252,
551,542,151,854,930,951,584,745,791,120,308,166,681,780,158,158,911,512,406,
990,106,843,707,014,736,378,984,127,389,116,332,235,832,547,756,104,585,905,
224,476,838,163,941,413,289,145,702,583,951,426,983,510,240,460,396,865,553,
571,240,513,116,386,072,372,680,908,488,361,020,505,737,120,865,352,607,274,
199,526,772,699,795,006,547,282,153,547,620,563,786,293,900,132,810,383,197,
968,733,586,366,330,949,638,639,876,061,547,640,203,092,665,072,074,148,130,
696,743,926,395,326,999,379,753,595,408,583,297,905,817,821,817,721,378,950,
513,380,620,951,125,216,353,886,847,202,560,396,616,679,985,542,816,847,128,
441,757,713,013,116,817,269,762,743,582,606,479,266,554,609,922,129,838,878,
845,621,152,224,659,769,759,802,725,542,053,770,955,181,267,201,020,417,769,
537,482,121,492,038,376,112,491,772,906,790,023,655,426,083,736,869,282,606,
709,699,103,435,136,384,630,529,979,432,602,818,840,908,925,710,792,709,108,
988,741,610,800,492,018,353,296,973,971,133,468,623,568,121,458,792,371,450,
147,807,367,230,243,038,426,985,891,920,368,906,289,726,229,159,744,358,863,
960,698,975,383,483,708,360,532,633,602,046,211,998,783,745,701,569,395,735,
804,215,802,316,810,881,676,422,659,723,289,491,513,216,774,243,644,288,591,
659,595,126,645,943,202,181,127,191,984,944,564,820,515,599,678,884,580,550,
575,632,510,859,704,373,617,915,986,293,883,485,985,683,190,363,653,720,998,
995,997,827,563,251,639,960,526,656,817,653,833,937,233,607,333,127,338,751,
031,827,260,150,399,603,488,053,584,322,670,039,393,807,150,821,624,600,500,
764,215,726,640,312,289,170,730,702,774,042,152,649,679,239,212,021,261,224,
665,992,834,657,488,858,663,472,037,963,957,102,966,693,623,487,717,605,512,
143,355,523,969,316,847,813,436,357,442,415,131,328,161,983,168,761,856,227,
213,432,842,104,969,313,007,195,499,291,580,238,847,444,968,477,625,863,559,
391,585,053,945,444,905,393,681,071,613,597,573,096,010,246,528,587,592,842,
056,706,035,807,888,283,532,717,085,954,930,055,119,216,817,233,709,210,717,
747,977,987,531,684,507,820,279,417,054,693,390,628,167,104,842,489,024,937,
261,784,744,526,181,401,592,867,220,079,948,002,119,703,382,349,538,772,064,
455,048,696,728,186,200,167,012,122,430,162,088,055,502,345,034,295,914,605,
039,505,244,559,629,816,468,195,803,112,796,852,370,558,721,957,376,062,396,
087,363,315,110,050,934,149,506,039,145,719,602,146,071,925,395,021,838,490,
042,411,742,115,226,985,935,575,171,136,507,986,373,467,862,734,859,340,126,
818,402,781,330,280,467,963,941,942,714,184,205,351,436,599,920,856,295,598,
591,034,069,596,772,888,762,345,139,097,883,184,345,213,510,724,702,240,546,
649,175,924,892,892,575,960,505,452,538,105,228,805,123,552,951,731,791,692,
685,243,862,662,724,055,633,421,444,976,604,193,296,617,710,012,735,167,764,
191,548,261,971,025,531,905,046,592,456,258,668,117,293,414,918,799,976,745,
097,361,060,865,237,409,416,600,944,679,085,564,912,029,922,778,769,161,442,
080,266,331,667,106,811,855,982,837,090,360,229,132,737,775,074,304,564,361,
949,016,192,371,247,238,713,551,966,385,201,277,825,502,185,345,037,904,369,
930,873,748,466,578,375,782,638,259,768,571,651,732,025,712,071,273,265,974,
350,553,652,831,481,214,237,171,885,506,529,997,640,131,022,246,970,592,961,
179,399,505,545,282,772,043,391,467,964,110,718,041,514,580,381,582,429,587,
827,479,965,910,287,368,597,599,440,885,346,831,070,929,188,017,163,611,203,
043,466,968,564,520,762,869,778,494,276,892,728,470,027,578,382,556,861,764,
603,158,266,466,153,455,332,114,730,018,452,763,202,267,391,269,495,485,641,
176,678,878,634,957,247,779,396,737,597,982,511,586,520,624,118,687,043,578,
234,037,695,541,359,319,959,422,488,353,301,200,272,080,975,758,678,497,254,
628,088,724,114,092,117,274,820,236,580,408,375,909,017,160,884,414,407,576,
504,703,642,257,249,764,321,135,910,463,202,613,837,801,042,402,296,895,471,
781,305,954,709,064,391,908,394,706,429,942,414,443,717,201,792,495,399,900,
653,026,778,484,810,470,128,128,337,097,321,277,276,888,910,608,865,374,430,
111,582,488,348,609,285,218,382,630,593,086,964,209,481,759,282,917,126,056,
944,614,529,694,827,065,821,688,898,637,406,684,267,515,267,192,297,050,225,
324,240,823,682,523,013,941,079,548,639,116,207,645,123,994,353,735,388,104,
070,068,769,538,230,283,776,666,031,494,795,862,692,039,046,181,275,138,211,
753,905,014,134,260,569,168,667,610,372,097,250,786,195,437,558,740,903,036,
688,050,834,419,440,758,788,208,220,312,923,002,220,737,142,074,440,752,018,
629,487,953,101,773,552,952,482,695,983,156,392,985,898,734,812,679,095,405,
378,718,465,546,951,758,185,667,966,121,734,452,630,126,227,927,010,491,001,
973,842,695,079,118,943,055,376,530,776,237,885,711,250,886,861,664,393,729,
884,977,898,363,045,549,991,446,378,834,282,493,583,249,801,361,499,546,421,
306,308,267,623,849,808,600,969,207,029,529,521,000,098,680,171,067,302,813,
011,654,732,459,366,165,371,379,886,678,233,896,349,396,310,847,584,511,761,
173,701,389,459,521,891,359,744,293,570,822,480,872,991,460,527,277,712,996,
446,343,634,332,277,965,081,201,681,604,172,624,474,538,067,668,016,822,432,
098,243,544,065,649,766,362,111,466,271,830,864,029,115,890,767,042,049,739,
322,717,204,576,451,410,239,815,809,192,333,286,757,106,315,995,807,056,758,
222,968,060,272,504,363,830,545,326,123,425,049,406,269,805,139,637,796,734,
548,836,797,873,856,965,107,278,113,798,605,094,248,424,482,453,035,705,543,
171,135,597,284,051,814,961,887,783,951,058,830,139,095,211,439,027,369,719,
126,752,136,156,841,103,857,765,618,716,173,611,031,937,126,429,213,470,786,
540,230,848,886,724,101,803,564,843,730,769,233,359,468,031,327,198,088,697,
005,210,583,861,162,278,670,847,869,969,656,947,264,994,076,471,714,630,575,
404,597,066,346,943,442,089,212,932,992,886,342,459,602,486,141,224,369,919,
175,001,034,475,785,927,419,613,403,716,315,977,307,543,739,970,757,744,283,
994,082,507,744,767,046,084,392,243,340,829,706,342,708,432,494,188,626,605,
144,351,010,814,081,020,586,113,198,107,264,135,224,524,325,910,383,111,708,
848,034,361,230,464,168,621,317,873,596,146,219,033,315,609,072,288,492,515,
947,597,241,018,082,412,431,754,144,510,801,183,269,766,090,099,801,523,905,
082,501,419,331,036,498,422,891,064,550,945,135,161,091,143,431,285,631,672,
460,349,397,922,385,002,724,261,301,542,042,658,947,346,709,345,391,951,401,
702,782,765,414,694,178,980,511,976,825,320,028,241,605,340,188,158,880,542,
709,857,904,696,302,630,803,528,058,554,486,280,470,086,326,744,959,160,159,
553,780,304,668,814,968,288,904,092,494,308,559,899,756,226,223,800,022,675,
507,025,892,664,560,120,466,067,294,743,282,663,807,783,147,177,808,361,659,
409,513,125,214,478,749,808,555,085,010,792,205,473,205,300,104,690,282,043,
263,900,556,493,746,031,794,120,338,000,115,131,845,141,732,153,202,661,217,
531,529,422,810,421,778,399,017,294,691,198,905,799,958,966,537,169,236,327,
308,834,112,106,063,442,218,753,921,079,033,803,584,737,581,060,915,026,150,
660,943,011,116,610,115,887,120,882,658,427,449,805,438,712,109,610,850,207,
221,868,932,673,702,244,208,091,049,774,610,006,164,888,870,685,071,932,313,
853,625,320,798,597,303,986,228,365,206,140,988,902,804,344,511,576,657,504,
706,657,122,284,839,963,849,875,027,468,185,035,890,462,186,777,710,239,299,
865,950,704,783,130,145,915,279,994,962,418,927,251,044,423,508,550,343,990,
079,827,685,665,525,905,032,224,106,985,132,457,602,396,088,771,700,250,318,
644,041,310,507,195,189,341,301,338,688,374,270,971,496,747,834,387,162,835,
959,708,949,926,203,900,424,946,142,681,604,610,562,786,404,101,031,411,438,
178,282,402,322,255,882,957,946,254,621,160,489,935,654,162,302,795,120,203,
151,648,782,978,375,079,376,365,794,612,631,826,145,371,710,750,185,384,385,
313,091,570,112,603,427,312,837,089,635,475,724,829,223,412,194,948,553,417,
842,993,134,389,830,387,974,019,009,706,669,650,189,863,260,760,163,520,677,
693,801,732,069,119,874,150,820,030,897,290,604,519,534,048,946,125,861,253,
692,747,731,790,859,437,591,039,321,004,248,000,486,183,173,888,686,812,602,
289,561,415,335,128,160,017,498,843,839,684,213,056,034,519,258,231,989,223,
991,374,087,851,433,256,308,065,079,680,757,208,131,245,041,039,225,956,752,
903,972,985,797,617,587,055,398,908,903,001,853,635,009,326,328,090,456,549,
642,322,085,228,587,763,308,608,987,131,886,598,368,517,238,263,577,929,442,
491,517,498,948,243,233,846,521,604,444,100,520,302,320,131,509,623,812,065,
425,465,532,913,244,105,877,621,479,845,079,984,839,013,083,624,763,951,265,
705,672,676,643,772,440,737,971,170,726,878,985,058,555,903,030,059,579,983,
522,655,167,308,452,059,519,835,227,151,160,988,332,035,301,725,251,227,831,
614,475,877,158,121,296,702,141,479,126,722,796,182,008,763,833,394,106,137,
420,338,132,220,877,478,496,966,536,054,146,572,490,700,507,073,618,507,380,
384,759,998,507,600,649,460,425,764,450,625,566,146,093,142,252,078,841,484,
799,337,722,839,728,296,031,870,809,961,422,662,867,710,904,846,761,605,103,
974,191,863,802,340,779,519,125,427,637,885,555,232,858,538,897,695,309,354,
983,471,036,428,927,185,367,081,554,770,006,336,703,001,118,570,160,087,276,
514,592,718,094,727,499,770,122,781,266,031,504,406,501,151,030,244,319,089,
912,489,810,837,982,879,219,131,099,386,330,015,181,165,354,462,321,445,257,
509,068,903,827,712,629,024,065,225,366,027,685,140,682,074,667,091,215,540,
678,882,232,199,417,676,344,066,480,505,621,571,316,784,834,807,070,022,970,
725,016,289,603,667,621,146,371,223,126,046,026,880,849,617,893,405,058,377,
659,942,027,487,598,958,136,820,007,066,494,932,158,852,814,873,765,299,923,
708,196,580,176,434,415,194,252,705,918,116,191,499,530,623,653,382,161,485,
406,831,954,210,608,949,281,258,912,739,101,129,310,129,502,064,641,819,411,
538,089,254,467,346,209,979,979,942,697,348,456,618,502,079,633,037,162,622,
754,201,007,872,197,046,111,989,163,706,327,110,065,060,802,756,259,907,130,
331,461,496,135,462,434,699,084,567,096,902,951,663,120,569,517,457,364,957,
343,026,443,108,380,847,387,043,378,868,605,810,958,194,102,458,992,965,321,
034,278,533,455,947,525,130,841,279,264,816,484,632,236,534,560,645,383,689,
702,850,925,601,379,552,169,477,544,736,039,350,294,163,987,347,673,700,301,
881,991,000,165,294,454,122,299,226,751,047,583,426,725,314,337,180,764,062,
071,177,113,569,744,627,237,446,494,163,546,115,523,001,957,199,792,996,525,
389,652,263,121,711,936,330,115,211,928,676,501,896,241,718,589,277,258,457,
365,983,560,692,283,736,670,130,648,803,521,737,830,165,177,085,337,448,742,
421,537,801,245,807,554,630,529,976,251,800,562,242,143,512,446,604,007,629,
525,901,767,792,844,920,293,446,276,958,875,442,598,439,947,259,856,288,714,
248,958,126,691,586,167,860,627,847,866,621,835,634,853,715,726,543,353,914,
905,126,279,528,208,518,342,340,272,608,938,024,597,539,726,791,146,604,847,
265,098,129,814,679,749,694,700,110,619,971,663,611,984,713,227,307,044,094,
385,721,533,523,415,383,656,287,189,636,049,095,782,240,949,172,621,424,022,
917,690,979,402,557,741,696,059,529,570,974,006,311,293,212,359,923,663,547,
223,402,428,224,505,818,828,846,820,846,191,049,086,329,306,076,433,308,728,
834,432,951,310,403,575,200,040,769,476,494,409,015,865,348,940,804,606,134,
024,811,011,199,148,112,435,212,368,656,388,050,136,857,296,326,086,921,234,
236,261,213,098,302,912,512,371,487,280,468,108,075,232,429,112,875,314,661,
718,175,420,778,709,966,714,927,326,810,569,970,884,878,874,305,702,063,415,
744,609,073,772,031,483,873,789,929,005,708,031,708,206,006,833,831,256,284,
589,446,073,458,577,944,118,835,358,975,051,927,500,343,831,521,546,586,058,
006,362,915,624,845,492,677,775,108,327,715,465,848,818,596,721,909,781,310,
635,799,740,651,677,206,503,520,610,254,463,124,893,194,446,276,121,078,085,
210,078,740,785,616,455,237,027,508,720,835,595,346,122,620,583,572,370,772,
512,909,743,841,458,767,063,950,063,661,339,784,519,260,810,217,754,517,017,
491,687,038,748,181,498,516,320,162,944,649,456,206,248,736,741,259,187,487,
696,242,885,901,749,094,115,097,853,678,236,405,153,299,314,199,936,171,032,
598,957,503,840,554,573,568,649,177,325,773,311,652,849,642,738,503,466,943,
502,824,013,123,304,160,202,956,698,884,012,670,307,579,153,904,075,853,195,
766,656,246,483,562,947,060,172,840,513,857,334,893,182,644,564,978,759,868,
163,874,392,279,883,774,159,879,416,426,414,509,455,299,565,044,018,654,700,
188,103,033,412,972,160,231,231,622,976,562,357,338,567,002,618,122,651,019,
588,027,044,265,558,258,794,331,000,511,895,441,726,098,769,105,841,699,856,
313,615,540,567,103,966,499,624,081,540,287,959,335,756,956,950,488,917,556,
795,382,873,590,443,645,230,755,936,113,378,669,611,543,113,565,386,384,286,
530,417,559,926,965,435,344,388,966,746,369,427,613,499,979,589,227,868,126,
985,858,259,283,379,141,242,281,703,956,698,751,005,012,001,227,999,243,040,
649,899,727,686,539,867,375,882,725,204,116,874,767,011,456,955,956,100,736,
593,737,639,889,184,998,999,845,774,099,952,091,388,003,234,516,545,554,480,
237,252,557,380,007,583,780,340,235,713,493,636,838,716,254,188,304,248,990,
406,057,878,901,698,713,524,742,861,295,975,890,332,313,436,927,636,489,553,
184,716,250,567,457,905,854,059,762,700,449,099,085,288,348,911,004,368,930,
969,971,165,690,125,301,335,699,509,224,386,202,532,709,724,187,727,849,586,
405,628,895,165,527,870,620,033,040,441,367,691,692,169,562,526,953,912,177,
486,174,587,336,573,586,928,032,661,638,734,434,497,466,160,000,865,859,483,
418,265,395,227,028,476,372,570,391,111,212,398,002,578,125,039,894,343,450,
773,471,307,500,206,359,071,136,533,100,356,988,113,722,737,018,876,552,442,
583,113,522,414,430,078,062,596,895,210,667,877,149,879,663,640,129,128,200,
433,001,456,849,956,749,979,842,063,034,060,079,120,424,982,813,106,287,216,
114,264,793,048,166,325,933,249,278,296,225,232,150,859,466,189,746,572,740,
617,795,890,209,234,480,185,174,420,114,906,862,612,583,520,991,541,632,419,
824,548,294,700,999,400,903,422,982,596,039,863,350,556,506,407,695,954,110,
206,754,443,128,396,320,779,977,618,755,930,001,698,074,482,098,278,281,666,
411,776,060,773,201,317,666,333,098,611,412,628,178,124,315,020,174,252,470,
291,810,488,129,601,399,715,576,697,582,279,376,466,213,872,502,729,312,136,
999,502,381,091,409,632,999,767,637,633,624,240,204,447,041,203,760,405,666,
339,215,211,380,137,627,353,910,087,993,862,315,509,864,191,572,708,401,114,
364,358,743,720,122,108,214,131,018,691,853,262,074,773,238,297,413,157,255,
835,570,261,053,443,017,406,880,384,499,066,594,663,844,426,494,774,627,098,
257,039,055,677,328,850,144,438,276,013,869,240,631,787,581,468,454,928,096,
383,711,201,447,388,655,509,747,966,116,663,643,100,824,592,309,756,630,810,
027,209,453,311,775,691,780,389,405,843,270,461,359,611,143,358,945,343,919,
483,890,070,263,481,823,167,670,259,877,660,724,030,075,352,181,356,831,059,
543,586,865,484,051,485,245,718,083,038,071,104,569,898,543,440,247,905,416,
243,679,292,035,472,362,238,591,382,181,087,209,956,441,726,343,953,110,729,
341,389,706,968,516,022,818,416,060,399,220,207,810,750,264,358,923,254,714,
849,059,339,357,987,559,320,739,143,395,018,808,054,904,699,254,741,146,155,
174,599,450,394,269,646,837,054,471,059,389,845,052,991,785,233,880,592,591,
913,348,513,150,762,256,344,065,759,667,856,446,516,805,995,532,373,678,570,
745,458,614,465,328,344,071,045,810,460,841,804,107,355,208,325,737,781,059,
886,440,264,869,540,959,018,025,561,950,719,602,825,810,103,908,237,586,070,
427,940,996,937,289,296,080,939,705,714,245,150,433,649,565,102,360,462,320,
218,083,010,380,165,370,940,706,562,899,993,912,225,091,270,666,866,759,039,
748,930,184,803,789,858,555,771,331,123,358,203,452,847,931,910,731,406,590,
805,143,450,699,630,984,134,501,081,235,956,084,790,940,360,846,049,668,576,
160,812,728,787,233,019,515,082,461,057,487,169,535,866,572,337,698,958,448,
476,852,984,575,453,415,616,507,292,658,157,194,953,598,257,962,627,198,018,
862,397,232,168,136,465,283,394,052,207,046,301,640,299,681,531,017,823,794,
576,099,717,519,185,618,403,386,559,832,086,849,479,050,265,360,104,690,106,
685,432,442,217,420,773,919,628,562,129,089,371,319,502,513,347,016,579,681,
509,861,291,918,915,464,996,885,280,392,814,195,548,155,313,391,686,907,114,
459,379,614,938,260,426,465,175,295,345,577,782,364,793,617,046,630,888,596,
284,323,045,756,650,182,663,355,076,271,005,353,236,985,816,968,490,580,143,
281,883,273,906,657,915,640,536,030,607,044,780,557,192,162,255,128,474,252,
250,394,011,410,754,159,755,269,662,571,138,139,039,406,327,454,854,469,154,
310,824,238,414,629,806,367,578,887,294,656,506,639,516,317,827,017,275,814,
330,263,488,414,588,568,639,939,305,031,537,726,138,920,223,518,319,517,244,
907,871,321,068,843,237,473,406,004,965,389,062,660,830,459,223,486,969,816,
228,089,206,499,876,368,613,728,542,254,732,983,199,332,274,885,385,655,688,
969,181,843,848,635,775,482,732,889,154,590,512,051,146,618,879,373,648,156,
477,525,889,095,622,210,127,193,818,536,606,906,592,552,996,280,981,043,941,
196,710,689,393,481,549,117,532,497,957,857,235,472,663,554,503,896,170,393,
916,570,697,335,662,270,365,168,466,094,004,796,479,926,262,557,914,163,753,
888,364,226,542,332,928,726,764,124,534,079,125,713,681,170,699,035,599,782,
205,802,914,197,419,801,656,434,698,199,961,672,326,874,964,840,628,079,895,
583,726,267,843,204,196,593,902,028,570,236,285,785,665,194,689,130,274,638,
565,940,115,505,313,727,189,518,554,290,644,996,834,483,240,680,205,997,121,
747,128,318,697,223,413,690,036,234,490,724,635,894,953,683,027,443,084,997,
630,860,630,523,290,361,269,572,540,581,732,534,146,820,445,253,393,564,568,
494,131,524,623,624,994,809,666,693,459,321,820,354,671,646,811,507,688,156,
328,347,208,409,485,878,170,191,575,718,833,437,541,262,230,820,933,807,099,
122,253,255,203,333,106,818,972,495,269,626,394,341,471,990,981,289,649,408,
167,329,238,055,945,407,664,862,492,934,606,287,485,051,014,474,719,260,764,
207,499,672,273,529,297,552,193,737,096,033,374,593,993,581,943,109,039,184,
767,747,572,395,851,228,965,016,687,755,001,219,290,295,836,384,611,717,679,
165,611,727,572,472,113,453,803,457,526,829,965,982,016,260,262,175,160,627,
621,788,820,205,314,571,690,281,660,451,548,424,273,863,395,560,594,459,189,
356,180,518,744,994,396,798,107,941,689,820,276,610,313,715,562,517,065,624,
962,056,587,121,977,493,751,036,055,240,435,184,087,927,282,671,078,538,106,
149,146,900,303,750,189,787,205,829,163,233,490,974,164,175,327,634,964,524,
290,423,436,474,960,836,904,739,841,529,567,609,630,765,555,122,306,877,343,
933,966,279,392,223,820,179,910,665,826,369,270,153,987,722,785,809,110,251,
800,857,683,127,507,291,767,710,618,584,776,534,332,855,310,557,232,253,092,
315,689,544,427,328,564,104,963,182,010,337,629,095,288,020,893,528,001,439,
743,638,624,425,105,885,942,993,760,824,007,090,159,438,560,246,127,271,082,
972,897,601,787,105,808,250,188,704,631,012,748,347,059,982,400,256,424,133,
211,945,837,417,210,809,452,144,202,772,764,876,511,456,038,990,577,867,865,
587,339,086,558,153,868,182,277,616,346,744,516,802,547,581,079,575,605,817,
658,930,811,248,968,211,406,420,766,427,187,369,807,355,361,137,772,483,907,
233,321,641,725,203,587,454,071,411,782,993,785,458,208,550,313,652,831,189,
602,349,005,076,439,981,162,103,735,961,129,780,584,408,014,745,939,437,653,
664,419,145,669,724,591,084,836,711,406,738,407,468,170,813,968,251,000,272,
081,297,742,292,500,821,942,765,390,980,069,630,263,679,234,884,330,146,079,
214,461,042,243,445,144,832,980,923,312,746,754,853,624,174,300,110,919,601,
540,642,033,333,560,076,688,990,567,704,127,183,079,617,370,053,426,633,505,
816,877,293,132,085,238,008,792,345,290,684,414,509,769,686,620,758,226,711,
740,804,772,896,241,670,956,046,882,196,372,466,824,098,804,376,355,394,689,
997,298,769,268,354,091,130,763,271,891,263,122,931,341,845,763,740,870,865,
021,465,376,116,335,021,859,515,513,968,428,519,816,365,367,917,807,991,807,
722,835,718,246,696,880,847,385,173,752,722,869,788,072,565,959,360,645,573,
251,540,388,210,838,361,031,395,666,340,827,852,341,323,695,277,671,429,005,
905,342,513,043,026,023,977,677,226,458,108,712,583,128,671,429,244,893,112,
240,816,779,170,040,752,743,377,562,274,902,669,071,871,124,865,737,475,434,
221,247,352,893,184,557,521,838,890,577,071,240,186,046,442,313,250,511,221,
556,886,062,591,364,445,452,118,880,289,263,314,566,590,169,972,637,189,939,
000,410,758,614,182,536,472,166,216,498,661,640,508,770,556,856,296,275,769,
948,978,472,083,852,977,485,259,936,364,782,173,164,712,247,890,596,126,343,
647,176,554,901,070,594,607,993,429,296,172,263,539,329,662,999,936,097,325,
875,299,144,473,267,169,461,708,170,118,118,433,650,405,875,337,678,738,071,
294,590,363,569,328,573,998,078,988,128,944,999,812,992,528,323,778,320,909,
224,374,352,637,651,501,399,438,879,947,946,809,083,695,210,549,204,528,655,
771,928,700,571,786,805,213,338,487,591,548,536,910,273,767,223,382,482,400,
110,808,342,077,408,928,047,672,008,059,131,986,724,216,637,054,501,559,060,
387,571,500,267,888,180,724,126,629,625,821,108,326,507,234,877,540,953,641,
217,502,116,528,884,700,941,620,862,999,855,876,604,828,423,886,024,044,624,
629,781,212,903,607,245,284,754,177,122,900,372,043,118,671,442,649,515,170,
689,453,498,568,842,678,915,069,195,982,723,726,800,242,135,488,110,848,956,
808,117,761,982,499,770,066,926,946,169,019,893,775,587,902,406,504,729,392,
744,006,743,205,981,678,968,119,550,782,990,132,035,697,830,418,655,402,390,
406,357,379,762,968,467,382,219,322,653,372,661,665,686,376,914,234,555,949,
873,260,751,295,479,550,821,817,934,093,726,831,555,191,403,534,147,386,475,
465,056,032,948,713,228,470,008,816,694,085,845,042,290,308,317,114,599,568,
805,442,989,495,339,765,381,883,534,231,690,426,027,463,195,553,886,221,291,
502,583,183,141,137,744,507,761,273,418,170,153,496,043,397,570,483,760,330,
036,540,377,325,668,699,558,027,953,730,396,615,617,745,797,454,462,607,423,
497,838,164,715,979,981,404,736,581,498,238,654,377,446,025,948,448,400,168,
185,193,726,623,766,799,585,729,441,149,905,135,773,448,328,424,765,870,679,
268,561,284,531,194,731,493,177,035,021,890,623,810,550,296,747,136,173,384,
978,451,603,963,607,614,031,863,149,517,577,808,075,806,267,512,513,478,967,
468,453,690,353,721,071,998,647,735,470,470,285,440,332,009,697,125,216,496,
947,921,568,139,770,352,151,181,764,517,012,529,269,356,771,612,928,780,605,
409,318,529,556,553,688,535,009,320,070,000,285,776,076,571,438,308,144,341,
153,574,118,940,010,822,901,252,397,257,583,494,215,477,607,806,021,481,876,
618,686,540,066,538,902,552,280,884,489,989,191,587,049,465,673,279,349,903,
610,401,919,554,058,030,726,309,260,837,238,063,838,770,679,153,757,380,577,
817,394,288,992,207,358,855,799,688,492,910,448,175,041,102,976,958,405,809,
171,666,123,851,663,429,843,068,643,303,306,304,717,533,888,008,684,918,723,
792,361,146,059,865,921,107,836,024,449,927,461,154,742,356,871,292,595,756,
088,391,195,932,926,532,180,749,161,740,230,176,128,870,234,363,924,424,137,
654,411,183,336,027,034,635,815,578,906,879,399,748,497,131,370,913,509,972,
705,803,868,795,410,232,441,453,080,185,684,098,336,079,048,894,379,873,516,
336,921,841,280,415,515,312,789,984,001,450,986,119,655,722,819,056,824,435,
113,455,783,874,099,148,060,918,591,461,228,726,795,262,946,319,479,404,132,
736,745,512,750,578,868,314,268,807,659,385,430,843,287,867,562,739,127,573,
702,551,410,459,576,217,105,585,519,336,214,837,231,211,739,224,113,604,875,
687,830,623,492,344,099,770,573,885,434,931,878,004,302,208,412,634,434,081,
538,960,194,355,794,237,306,242,281,025,693,017,528,111,520,775,285,890,440,
679,511,275,735,587,439,974,263,354,455,116,145,022,670,365,165,875,193,445,
598,029,615,223,057,389,761,557,197,345,515,683,296,242,237,072,512,359,864,
999,414,247,744,345,804,053,097,866,922,231,704,184,341,327,866,293,242,162,
035,835,507,619,859,452,246,740,575,753,760,021,579,152,586,948,300,987,071,
611,474,125,701,904,771,227,618,323,387,917,301,784,691,633,113,212,836,898,
872,440,572,707,977,380,279,714,208,998,498,628,048,566,150,855,081,480,177,
947,022,103,575,709,158,273,251,889,927,780,382,982,896,442,348,275,891,997,
778,034,744,764,913,121,312,612,837,143,287,066,754,982,363,073,582,889,685,
213,324,265,713,732,350,604,847,721,816,123,180,420,513,208,597,517,008,449,
115,090,201,508,187,014,092,424,338,914,030,379,829,649,368,230,391,581,595,
998,350,987,427,113,641,516,124,691,878,274,075,422,023,041,986,055,036,044,
918,156,951,160,974,361,249,593,968,848,342,060,305,434,208,173,692,417,896,
146,263,103,442,718,897,939,964,106,397,634,252,798,154,533,829,075,058,854,
574,983,456,968,588,236,901,885,215,453,689,511,831,190,402,387,633,225,148,
192,816,070,101,297,102,229,463,924,413,915,023,113,568,911,223,922,949,301,
623,801,476,875,510,681,252,373,094,041,089,446,348,855,980,626,490,216,727,
177,378,129,585,749,116,116,303,993,348,091,372,543,369,852,060,121,508,698,
731,808,724,837,511,014,863,638,620,834,215,037,700,661,693,794,738,137,487,
130,518,041,312,621,659,648,828,333,908,333,031,512,730,945,979,892,763,954,
999,023,589,103,756,160,682,313,444,520,690,262,662,879,991,543,006,253,775,
508,382,676,599,711,531,728,324,509,613,950,073,876,506,475,692,441,570,278,
059,300,481,354,054,469,704,371,391,817,144,889,951,227,647,766,160,941,647,
879,037,034,785,024,152,686,566,166,396,642,866,565,543,493,201,921,759,417,
696,245,411,162,217,167,222,220,487,420,562,812,345,617,595,987,075,190,645,
170,890,699,913,845,979,271,442,953,973,506,684,092,911,897,498,733,915,832,
896,043,074,296,332,907,004,866,608,638,006,447,577,270,446,685,983,590,156,
043,641,588,129,420,240,335,799,103,130,151,096,872,127,713,584,784,015,144,
190,417,573,905,118,748,735,096,982,145,172,771,522,936,372,837,047,131,332,
889,128,019,702,308,176,993,468,342,879,566,870,235,296,877,232,608,179,168,
677,510,144,844,189,440,902,900,638,775,508,270,536,161,875,705,872,916,727,
384,017,575,248,041,010,631,732,113,787,548,327,745,094,696,804,685,747,346,
937,866,527,873,812,502,467,967,533,964,399,654,411,070,920,077,436,255,382,
761,347,750,589,993,851,380,677,279,538,587,147,837,204,836,553,674,579,579,
265,254,578,225,157,817,329,166,461,015,850,873,846,679,297,707,888,491,885,
592,610,928,204,124,593,144,776,878,696,863,584,222,438,357,885,683,682,604,
661,827,357,220,218,790,031,014,272,761,584,758,516,873,578,701,366,411,071,
870,622,471,959,849,626,213,565,872,506,771,973,364,418,497,519,529,654,429,
502,279,393,469,143,346,790,146,151,500,281,262,546,959,002,391,295,594,078,
696,141,713,731,700,620,351,566,320,342,428,432,332,024,922,298,498,288,904,
088,938,190,607,524,714,291,732,804,108,520,719,804,400,447,260,372,475,492,
618,283,302,544,418,170,280,954,707,315,950,288,490,948,195,734,588,538,984,
728,394,807,000,870,171,256,903,270,507,378,200,292,468,770,578,021,964,026,
578,018,715,825,317,785,871,586,686,515,854,139,098,843,284,081,195,891,209,
339,092,287,870,792,356,104,502,383,011,761,290,988,075,108,977,490,633,963,
058,122,275,151,994,602,091,738,638,053,393,478,755,326,597,985,149,439,179,
723,927,736,815,957,259,753,854,952,107,429,083,951,862,026,966,238,061,928,
499,391,871,629,573,558,406,726,429,515,902,210,807,267,007,107,018,653,361,
829,108,779,009,339,159,268,966,411,835,003,346,993,549,289,636,997,669,859,
973,674,896,856,706,595,280,993,411,728,675,305,021,104,453,516,574,423,157,
426,685,439,015,582,380,681,385,448,219,252,575,558,546,700,513,591,153,979,
653,747,277,645,124,225,042,478,317,050,603,664,706,222,464,770,323,662,692,
300,494,033,777,596,601,434,697,033,232,851,787,864,352,517,676,872,394,402,
623,882,431,326,645,978,627,385,128,535,067,004,861,976,838,138,667,906,219,
117,390,466,089,609,991,425,011,259,026,554,101,799,764,499,136,519,265,475,
598,176,767,323,030,525,463,457,866,311,140,839,901,270,434,522,924,174,661,
065,917,296,642,679,379,003,972,505,189,946,766,358,666,191,330,199,273,614,
114,030,279,548,498,766,000,380,607,638,658,789,425,143,215,121,410,395,534,
799,384,828,530,139,725,393,002,422,394,894,709,520,178,237,781,895,638,489,
299,234,604,979,904,310,542,178,656,560,954,649,557,945,282,851,313,660,180,
869,696,142,920,361,606,451,599,851,430,049,015,158,739,169,586,000,733,014,
767,788,381,238,763,234,305,521,760,135,221,724,753,680,511,821,750,245,778,
372,804,942,537,597,059,572,393,401,612,550,876,135,541,214,843,588,366,614,
522,456,721,629,009,089,349,614,470,137,163,853,189,085,709,950,116,990,156,
935,171,770,988,884,566,767,162,320,286,311,289,413,031,183,677,562,748,149,
850,664,804,989,535,789,345,622,263,198,328,633,816,994,375,735,540,931,240,
083,718,034,442,811,543,285,999,085,741,953,187,597,846,847,485,382,032,496,
143,017,854,260,590,673,235,781,073,378,675,186,275,909,878,090,458,741,558,
055,124,128,338,549,029,558,370,504,826,735,721,340,262,017,363,647,113,395,
015,042,206,969,698,712,184,185,401,894,317,192,509,513,433,646,606,732,275,
381,743,546,509,685,753,576,299,882,646,240,959,525,658,086,125,924,680,693,
670,184,671,592,979,308,417,785,722,011,110,732,366,114,927,340,480,631,461,
036,029,494,249,340,469,480,566,050,174,079,814,039,599,054,199,859,644,283,
905,521,690,308,059,037,452,264,204,703,763,866,891,633,660,568,004,156,470,
895,187,826,369,172,506,564,037,392,224,463,260,738,570,979,301,974,816,546,
491,046,578,583,679,224,628,334,617,271,890,399,164,090,423,996,048,890,184,
899,596,611,410,565,075,238,251,105,773,228,789,420,635,803,443,693,595,910,
319,271,608,616,248,291,033,213,546,579,819,983,325,201,974,751,595,064,125,
992,900,807,339,723,169,440,229,529,124,895,441,683,437,039,883,679,468,693,
725,719,942,950,107,509,232,249,901,015,848,880,244,663,672,231,523,880,521,
574,342,864,444,856,469,456,738,932,033,271,442,671,693,523,216,161,448,133,
329,266,147,647,252,853,051,621,752,479,095,434,479,302,276,836,969,086,896,
681,521,991,176,592,438,902,267,933,819,376,964,018,290,094,578,498,478,784,
335,140,655,283,411,045,447,305,709,739,203,434,944,742,890,330,853,246,219,
320,419,696,991,467,127,310,951,854,703,891,207,271,509,910,287,813,726,135,
124,874,215,203,619,448,178,584,268,034,515,153,454,176,100,595,962,685,024,
017,656,156,961,951,322,930,267,465,674,310,157,381,045,591,318,942,715,435,
887,858,278,425,345,482,953,515,205,464,086,977,294,885,534,645,344,686,713,
318,140,677,185,976,393,521,536,751,343,736,405,340,921,344,824,400,310,026,
981,670,620,658,087,996,527,988,164,246,057,495,379,077,210,526,818,105,377,
884,209,741,541,085,137,513,613,693,445,645,588,333,911,207,092,522,250,711,
065,928,920,337,926,767,795,148,600,130,043,173,026,811,314,873,786,570,698,
101,507,445,017,188,923,424,938,562,040,523,541,484,419,880,833,388,555,259,
173,089,110,269,864,384,932,185,955,874,516,608,008,624,691,672,351,188,661,
019,475,889,072,528,942,251,432,977,197,079,341,502,556,854,389,620,966,525,
719,249,104,655,276,269,553,478,112,262,945,871,102,279,799,484,528,346,932,
221,508,505,441,237,802,668,750,518,846,323,139,679,492,731,937,484,733,196,
307,573,328,754,725,906,976,395,570,051,915,000,534,650,826,589,126,333,432,
774,758,250,144,065,814,984,338,811,323,988,672,462,451,092,315,316,981,138,
763,068,145,706,016,990,412,092,781,185,922,016,474,296,270,361,986,163,121,
969,345,910,209,593,406,019,016,269,578,985,617,624,343,444,404,527,297,602,
979,420,461,148,023,535,897,392,927,248,130,190,507,094,483,301,116,055,269,
337,822,482,560,829,985,710,608,029,875,752,180,312,411,281,239,926,340,960,
499,567,278,613,445,699,777,666,170,793,085,947,269,530,079,836,717,909,430,
584,582,353,267,441,915,804,518,063,345,491,758,095,133,217,453,957,127,392,
023,981,748,889,656,312,980,163,924,197,813,196,544,670,951,563,973,747,968,
609,915,020,965,735,051,813,395,221,699,173,499,756,875,138,866,220,698,656,
076,678,842,770,593,108,161,581,434,410,668,207,458,850,501,455,278,660,418,
880,847,029,786,778,164,608,540,208,480,808,528,097,671,809,288,614,133,500,
916,912,589,222,199,571,601,043,681,451,031,184,346,223,841,597,650,096,858,
438,083,917,879,322,631,911,347,837,979,655,348,995,927,099,799,586,961,451,
849,627,512,758,243,841,511,000,909,290,974,458,643,196,849,868,659,338,355,
973,942,326,098,328,350,641,485,766,005,536,610,256,120,209,795,398,881,576,
040,341,406,467,166,588,224,898,211,256,064,457,758,585,193,074,513,956,467,
373,363,156,224,977,916,567,537,198,859,365,619,765,190,159,520,576,116,766,
661,703,450,367,875,279,355,144,740,979,306,946,608,767,098,367,193,852,268,
660,616,409,962,029,018,308,879,436,346,410,791,976,023,056,793,431,582,152,
505,745,436,301,067,974,456,478,635,190,465,055,589,200,665,653,064,942,159,
116,237,182,262,669,149,646,066,681,156,612,949,829,858,979,687,987,274,265,
913,378,592,186,407,004,040,474,210,622,673,788,862,834,410,056,282,530,461,
388,820,229,595,775,934,662,125,966,807,228,506,829,211,772,418,977,818,305,
214,630,605,608,643,247,002,546,380,610,853,120,949,242,704,552,822,636,286,
321,951,544,920,011,232,020,242,300,886,643,770,161,357,102,996,884,755,875,
240,025,774,330,493,786,994,531,426,584,018,591,764,160,962,284,490,001,436,
161,716,507,966,097,637,322,256,960,402,409,599,384,466,533,615,632,783,642,
179,997,387,826,623,499,415,480,825,023,475,599,858,564,638,695,004,024,767,
509,898,215,788,335,480,399,017,514,788,457,216,334,162,719,503,553,480,916,
894,073,365,123,414,354,606,459,299,715,870,002,839,240,360,251,552,430,286,
561,503,863,716,980,525,822,130,330,761,237,629,499,053,336,500,157,480,271,
817,972,742,996,513,113,161,588,703,782,238,378,296,025,524,607,256,582,966,
805,195,048,421,960,921,288,278,085,607,883,450,780,587,458,836,186,378,301,
313,340,109,708,588,378,657,915,201,981,743,053,853,173,851,068,089,073,566,
644,827,303,567,618,391,890,177,948,055,193,173,514,833,093,392,229,724,394,
529,496,390,582,066,964,466,220,125,000,557,685,367,592,050,588,395,813,427,
134,027,843,482,549,410,951,699,505,936,312,049,446,394,947,745,297,033,952,
017,172,012,117,738,795,926,169,731,207,670,375,141,558,929,458,335,836,794,
408,674,626,343,916,420,654,633,433,502,369,238,582,178,758,554,345,660,668,
717,673,296,001,873,160,806,428,328,804,709,849,304,159,772,718,517,656,267,
333,597,851,848,411,719,371,703,470,913,258,039,708,027,148,465,118,255,805,
044,788,653,021,406,359,681,323,394,652,892,905,703,983,347,325,125,346,451,
564,253,835,175,996,207,895,422,217,468,888,599,341,797,383,860,023,733,818,
261,905,710,652,935,416,528,452,229,838,624,405,706,369,683,834,153,172,792,
848,599,648,362,631,165,527,306,910,466,062,788,305,020,864,904,574,226,905,
522,896,968,878,481,849,630,459,294,346,257,674,580,656,319,114,118,978,465,
920,902,576,617,056,227,288,635,238,510,115,890,861,791,170,767,154,579,257,
391,522,154,749,238,807,184,598,392,269,689,094,577,227,541,460,546,619,845,
781,573,720,863,758,237,720,059,199,018,375,772,989,971,753,795,205,192,091,
916,586,344,631,942,024,508,469,917,176,497,869,969,779,557,038,936,306,979,
052,680,599,764,696,246,883,703,332,749,560,911,951,612,048,833,160,632,726,
239,019,690,021,007,678,967,753,588,805,457,498,260,028,574,787,903,303,047,
001,239,522,483,488,526,657,944,891,923,062,564,541,455,791,981,784,850,947,
333,115,757,928,043,757,433,192,670,619,049,556,621,528,836,653,791,041,185,
473,947,690,789,075,042,427,636,701,849,309,125,965,726,819,434,117,728,840,
149,223,319,385,727,303,633,061,290,724,635,208,927,719,899,391,128,303,208,
276,275,014,683,588,105,595,866,637,766,662,745,735,706,094,286,406,393,782,
138,968,033,638,257,983,259,569,427,834,329,312,595,844,748,273,389,561,263,
284,326,440,315,106,203,034,604,572,217,858,527,327,568,082,272,719,923,765,
236,517,498,759,791,672,276,756,302,971,740,929,198,491,381,861,964,771,027,
779,854,801,157,841,666,159,011,755,901,526,917,502,222,478,591,737,752,678,
833,088,267,751,393,150,437,204,758,129,844,826,221,964,996,428,757,651,713,
016,895,528,619,059,332,824,229,101,832,375,965,473,382,868,238,460,836,320,
041,094,471,237,726,832,034,655,560,682,582,666,209,888,442,269,630,397,662,
369,870,658,041,526,488,136,644,828,674,770,496,673,987,489,135,803,260,643,
101,581,464,659,171,762,883,654,020,771,090,965,588,856,762,696,760,769,342,
008,056,279,525,863,557,649,543,964,590,176,101,530,731,351,447,010,379,015,
647,536,058,273,861,096,727,898,229,710,871,877,888,253,966,372,956,653,046,
278,196,612,953,694,873,525,439,312,390,774,462,429,513,746,073,151,387,364,
677,617,398,376,074,174,945,946,300,805,321,069,508,062,867,439,721,133,176,
688,789,414,722,435,833,896,225,353,979,559,420,054,859,971,598,576,968,319,
710,540,424,670,158,555,243,675,173,968,150,375,190,134,530,113,675,041,038,
125,705,291,476,386,295,787,401,444,770,666,313,727,414,350,231,706,955,931,
783,573,137,111,817,747,322,232,078,837,535,843,160,296,085,436,006,479,863,
674,986,948,509,108,262,291,866,522,884,355,188,114,807,641,370,123,566,743,
135,359,060,391,171,074,852,521,812,076,494,738,071,840,268,835,416,618,855,
316,356,314,494,686,088,112,431,737,311,399,783,238,221,722,211,227,976,407,
264,316,681,627,881,823,604,037,144,563,582,640,564,284,864,056,667,868,897,
591,387,345,884,504,826,071,435,762,320,218,432,088,953,341,268,025,192,812,
513,179,669,281,952,391,032,536,322,053,339,455,356,705,914,756,485,167,289,
263,784,213,533,218,860,084,642,783,495,084,450,616,994,863,456,958,213,700,
146,684,674,104,765,667,372,668,892,479,948,046,695,402,891,942,791,225,839,
536,583,425,070,643,624,521,994,146,903,758,395,423,921,013,566,913,832,363,
858,587,332,783,386,378,394,735,720,104,939,212,458,872,639,394,765,614,474,
045,572,924,594,878,925,153,656,641,576,447,700,868,824,885,965,372,584,724,
658,513,572,497,148,629,399,180,394,806,788,453,648,459,094,629,833,147,276,
218,988,067,662,525,729,671,611,071,292,043,116,858,256,183,182,720,644,535,
001,901,993,370,874,230,472,222,364,272,306,215,238,467,067,688,467,985,015,
347,391,081,205,670,119,103,294,511,553,014,788,947,914,975,129,392,995,230,
961,776,713,473,751,186,515,497,143,538,162,752,810,365,502,006,919,912,965,
279,836,989,730,529,787,063,465,586,747,464,351,772,992,943,421,221,962,947,
290,249,465,715,223,650,084,695,209,567,824,836,949,080,450,167,951,294,934,
502,886,239,312,907,272,865,178,598,524,548,794,009,827,399,085,928,554,413,
327,610,993,352,085,784,644,681,552,059,801,374,256,136,256,531,841,238,883,
564,808,153,732,254,982,303,820,708,534,277,829,686,945,795,239,267,847,796,
245,259,608,205,235,791,715,505,634,195,235,433,043,403,585,312,786,200,064,
835,538,273,315,904,873,768,292,230,144,356,010,355,703,181,745,209,003,159,
092,269,398,906,024,161,468,442,833,052,219,927,807,705,811,434,261,450,698,
854,955,371,577,803,681,664,659,640,863,333,681,645,771,557,748,186,662,003,
297,109,433,556,793,521,985,470,879,360,779,629,095,515,310,293,495,077,995,
164,805,847,545,339,672,966,851,617,096,971,690,238,709,453,663,305,583,355,
058,263,164,840,761,573,236,337,226,652,776,090,696,730,137,524,970,936,465,
658,754,380,939,409,942,430,587,639,678,983,963,349,273,068,261,027,835,219,
885,656,982,384,910,892,550,670,794,028,101,272,476,985,970,978,313,857,242,
733,799,828,895,210,414,527,092,356,064,700,848,294,723,247,979,256,930,163,
266,533,594,462,895,188,784,471,077,233,060,957,749,189,545,674,479,986,492,
470,774,639,328,460,000,050,132,762,119,823,089,350,965,699,133,559,106,633,
125,309,225,825,394,985,665,871,912,471,041,143,092,540,946,206,406,935,493,
176,073,940,981,544,813,025,441,605,876,058,115,378,177,047,744,362,446,118,
532,628,099,963,883,427,421,485,447,470,038,362,082,093,201,788,105,466,719,
399,852,974,687,587,274,214,103,394,379,634,404,550,284,385,470,082,863,969,
959,351,464,346,813,003,960,103,325,313,610,848,670,615,948,749,301,869,390,
312,978,905,442,777,093,500,874,985,637,194,861,060,077,938,669,847,167,096,
769,982,889,987,744,805,692,733,683,108,465,358,104,124,826,663,292,608,203,
260,975,933,563,730,541,951,795,906,524,504,747,752,482,184,537,161,087,338,
355,136,807,331,936,108,291,905,121,836,466,872,755,007,166,604,446,749,286,
909,315,019,046,957,138,326,095,847,120,225,373,997,068,230,964,623,169,400,
473,486,257,620,545,296,412,183,268,735,277,771,620,007,790,302,298,146,929,
389,035,430,563,877,421,035,067,887,047,151,294,751,077,678,990,166,602,732,
593,633,850,499,288,726,682,613,790,067,348,873,141,821,252,032,366,175,064,
425,462,653,034,538,000,699,459,460,005,057,148,807,302,692,776,797,658,750,
437,459,440,717,988,581,185,939,952,362,807,410,800,643,655,995,097,884,547,
180,756,199,513,036,611,023,329,060,849,909,241,530,591,287,453,621,343,387,
865,826,855,932,468,633,213,250,376,227,588,865,852,816,256,759,987,354,698,
382,650,656,272,015,391,689,906,540,319,128,183,173,516,347,804,045,949,972,
197,228,949,491,190,789,119,356,404,262,963,190,345,673,346,933,087,676,082,
635,005,869,045,526,463,922,444,373,994,071,609,950,688,325,202,126,986,154,
783,028,081,187,135,304,797,755,089,792,823,385,951,653,066,339,421,661,427,
919,359,192,323,846,104,318,151,751,066,914,803,305,914,929,112,593,832,261,
277,379,944,828,071,098,221,069,830,518,804,034,830,957,196,892,658,603,026,
225,544,135,800,268,599,452,351,136,590,897,917,308,363,065,025,138,792,649,
065,781,692,318,446,308,134,875,743,561,490,704,695,946,196,418,170,720,080,
628,012,515,608,785,740,741,356,468,781,511,829,072,521,039,008,757,354,461,
577,800,237,877,451,779,704,881,563,550,191,149,991,191,783,502,830,744,289,
773,055,183,038,727,475,806,219,517,467,963,978,809,946,276,605,333,558,721,
288,235,146,721,370,809,819,985,517,680,794,106,454,026,021,122,443,801,282,
001,444,617,955,360,589,774,749,584,675,981,962,815,519,829,547,785,633,274,
506,026,278,463,250,367,498,970,597,667,754,752,833,097,977,361,601,068,323,
642,465,409,929,919,777,439,493,869,822,576,235,949,924,676,523,443,659,922,
400,705,388,857,310,713,835,497,170,065,092,645,090,154,123,722,959,623,584,
341,364,877,354,058,564,148,154,930,282,886,525,213,843,353,626,354,569,624,
032,752,525,029,775,910,605,430,878,416,830,012,968,656,396,676,132,929,463,
984,945,910,629,160,288,721,205,860,765,250,267,023,074,872,336,778,036,842,
688,830,456,677,007,275,645,879,006,251,079,429,158,742,904,442,874,219,325,
052,801,639,610,204,589,258,880,173,465,110,766,955,975,216,218,694,103,251,
950,820,918,195,461,560,606,867,151,909,458,157,325,143,163,482,993,719,377,
290,607,825,356,074,618,704,228,612,518,574,612,237,892,535,872,343,660,335,
673,252,603,512,667,303,747,386,010,385,494,238,391,541,941,615,853,479,962,
838,113,853,101,389,425,288,369,426,532,256,338,247,514,507,577,353,185,250,
780,820,675,234,317,262,199,991,325,749,133,031,494,969,163,125,649,978,073,
071,627,836,412,504,125,667,151,996,704,894,246,277,614,256,117,108,866,355,
929,538,608,083,436,688,536,994,648,732,530,988,748,658,210,124,167,654,457,
147,867,216,002,237,990,135,701,866,528,117,174,828,743,985,309,914,107,279,
839,068,163,139,108,215,397,875,649,554,678,850,719,546,958,021,557,064,011,
665,006,101,929,756,230,582,770,896,694,907,605,246,106,205,554,482,349,606,
734,638,711,316,918,492,693,962,328,250,904,093,998,180,664,161,995,452,966,
148,270,537,745,798,689,889,795,344,063,409,684,063,514,409,613,564,917,781,
154,820,762,787,571,313,305,041,790,497,804,317,834,076,534,327,518,550,402,
233,206,809,892,080,567,542,624,981,907,280,423,693,902,170,219,413,344,808,
775,796,248,098,977,071,200,308,140,751,199,841,160,444,364,220,325,161,389,
136,518,419,688,641,381,035,524,079,446,464,858,083,369,959,510,712,829,908,
007,930,467,516,663,926,025,085,119,004,471,580,185,461,643,416,387,695,168,
066,120,983,259,594,273,402,801,523,609,863,121,461,546,922,633,097,386,160,
474,568,263,594,211,514,763,161,678,408,477,021,650,765,903,373,346,616,825,
750,457,524,764,028,076,629,967,559,067,041,763,217,801,511,426,653,620,007,
772,673,596,040,295,805,593,449,234,773,784,799,494,301,357,473,831,983,474,
448,786,596,661,878,035,878,617,906,941,780,648,487,716,698,961,828,792,433,
210,486,487,476,510,282,920,949,501,806,772,946,206,537,930,462,732,665,538,
148,259,874,554,555,340,033,303,798,790,831,495,851,906,267,926,370,954,520,
826,038,485,006,832,194,778,019,241,615,833,136,455,098,989,643,820,771,622,
779,494,768,632,107,030,654,456,466,595,856,467,565,569,357,173,870,035,982,
586,860,615,527,973,449,513,904,644,142,769,267,430,183,856,980,336,574,548,
803,759,255,453,909,361,352,527,069,175,318,822,075,264,591,342,307,320,810,
678,667,539,499,259,374,504,430,710,694,096,997,528,261,573,226,542,259,320,
969,324,128,575,276,451,557,272,484,134,824,543,296,346,912,992,752,748,046,
268,523,280,129,753,378,529,796,115,948,605,030,180,071,707,217,588,425,611,
895,306,549,365,663,743,853,371,295,235,499,042,071,225,104,117,443,230,389,
470,017,613,156,498,121,586,581,267,320,144,689,238,074,596,029,798,300,685,
302,516,585,050,304,259,330,854,382,323,518,831,509,964,804,181,551,333,624,
002,484,340,673,377,477,403,868,600,768,490,295,590,462,878,438,035,089,772,
013,530,386,795,154,659,693,451,107,146,105,576,016,284,445,029,956,146,289,
542,644,225,756,335,510,162,073,858,757,066,948,715,861,554,708,610,445,700,
100,539,607,620,300,035,847,784,794,497,476,792,831,190,644,854,147,065,029,
295,572,167,672,262,328,634,736,869,146,377,709,838,435,724,860,130,928,929,
756,135,002,771,544,480,171,351,763,154,168,092,541,770,891,205,290,545,335,
809,141,704,853,034,369,600,098,779,601,931,772,099,825,176,411,403,961,419,
310,716,322,276,850,297,880,928,769,390,525,815,363,763,507,265,537,165,037,
839,018,211,957,742,092,270,737,383,784,551,326,590,170,107,918,674,869,897,
251,041,174,534,690,735,337,229,950,624,734,959,698,152,283,067,257,634,213,
277,693,517,654,059,214,728,879,778,167,563,619,937,596,822,076,758,176,492,
368,753,015,339,906,103,491,241,216,732,969,527,356,873,211,879,871,290,952,
508,892,054,848,330,720,309,880,434,001,633,782,121,228,048,156,935,866,883,
039,540,479,951,146,528,084,066,423,466,519,220,929,763,421,091,936,678,293,
013,034,221,671,656,377,081,028,632,901,577,014,544,613,342,151,703,217,215,
342,139,906,692,431,156,563,862,430,500,526,998,623,176,467,386,160,751,625,
244,593,660,585,561,711,742,635,874,105,494,879,007,933,695,720,353,894,545,
103,416,980,819,039,654,212,962,247,427,226,860,438,936,638,951,990,673,248,
273,231,944,870,400,866,428,251,856,586,697,296,298,756,843,288,988,523,102,
297,009,968,211,828,515,933,253,371,928,240,259,999,164,062,613,205,899,658,
393,896,004,891,147,562,806,759,713,742,426,387,982,466,332,494,009,792,560,
439,834,709,224,801,522,548,327,271,472,426,081,177,240,496,004,208,640,944,
062,850,422,820,349,057,430,101,688,248,934,034,126,601,131,108,003,296,596,
372,617,676,324,829,333,827,606,239,797,339,611,086,782,527,588,282,264,690,
067,202,022,715,544,120,812,299,888,919,575,827,734,061,153,516,032,698,328,
141,471,145,840,230,844,008,810,558,109,701,311,088,696,527,774,431,028,528,
500,065,892,121,747,369,175,328,606,530,801,809,640,763,998,233,070,192,446,
870,768,436,568,021,695,931,421,047,782,036,396,977,271,066,291,945,110,134,
920,724,011,998,262,671,443,471,071,910,414,559,018,585,897,013,818,683,019,
440,018,759,840,301,408,470,706,797,026,542,430,548,965,634,002,955,075,437,
608,074,404,595,099,140,212,012,113,460,550,743,936,404,955,993,263,640,646,
691,987,980,040,795,206,907,669,681,815,842,271,879,720,578,851,018,145,565,
655,884,820,848,291,461,224,695,536,144,219,295,322,228,090,727,753,867,908,
655,519,189,853,311,727,302,250,169,811,565,998,976,586,843,362,831,854,081,
270,344,932,124,861,626,171,777,524,850,986,791,376,703,247,896,956,045,515,
913,921,109,158,274,952,137,167,728,029,528,551,396,883,880,935,210,636,190,
584,791,457,464,729,340,580,332,576,196,977,493,706,538,208,261,811,987,005,
176,164,769,074,830,078,339,019,590,217,915,169,232,849,913,382,305,697,703,
833,209,751,801,438,004,937,714,149,190,867,818,816,815,426,263,567,230,532,
014,475,804,236,771,295,059,628,295,032,301,305,948,257,358,133,372,135,647,
614,694,378,520,058,862,682,488,868,010,068,195,499,985,112,108,063,629,806,
131,241,064,175,244,815,961,238,521,261,175,288,932,746,133,445,373,648,538,
502,029,514,798,090,172,948,977,507,867,417,014,460,869,049,134,390,039,936,
663,241,450,900,780,996,049,402,797,646,885,132,682,484,970,511,234,473,657,
099,611,944,212,297,128,228,455,748,230,579,977,870,762,038,357,722,147,623,
699,498,407,085,687,974,874,625,688,475,862,756,440,093,193,418,730,688,695,
592,556,793,743,095,508,379,307,168,896,857,888,739,718,521,044,574,686,113,
528,956,463,568,156,564,018,562,912,116,937,069,537,566,031,018,754,609,196,
087,679,715,992,258,311,213,309,596,841,413,025,388,350,494,880,395,983,066,
299,171,374,836,407,653,330,959,331,665,120,871,507,374,554,391,232,000,371,
408,517,273,005,688,626,190,516,221,590,656,300,401,550,910,547,636,633,752,
600,197,703,571,055,055,079,131,496,296,269,047,510,970,049,501,005,367,430,
828,304,908,131,597,619,550,928,686,864,212,806,478,923,244,123,856,396,879,
719,946,244,147,897,137,254,775,478,371,153,739,913,488,664,546,801,296,533,
069,722,500,059,546,097,780,426,294,401,932,357,614,213,957,108,555,093,494,
574,883,003,396,574,117,129,843,095,279,340,724,814,823,112,200,221,675,306,
843,546,914,828,529,096,221,406,708,424,822,796,038,645,811,664,213,098,893,
996,811,225,057,957,285,875,650,768,863,841,003,518,707,334,743,564,929,048,
837,221,227,122,412,232,981,957,704,268,619,271,241,454,503,293,279,090,163,
626,354,276,017,494,998,114,570,060,711,568,485,380,796,324,259,969,055,047,
170,159,183,603,820,775,960,947,822,573,974,040,273,767,252,457,649,423,573,
509,842,062,712,718,423,744,219,364,891,584,145,515,095,029,577,857,319,929,
351,178,510,550,245,812,787,195,072,420,026,080,165,909,896,567,547,799,584,
919,604,763,216,546,232,703,006,251,263,681,567,968,625,799,861,095,138,225,
818,548,607,734,658,793,018,789,295,214,935,186,157,418,698,102,375,963,812,
970,366,160,527,654,226,283,844,691,743,037,405,388,843,814,249,365,927,295,
340,086,670,759,787,988,219,621,928,141,829,269,820,064,505,862,290,201,809,
788,831,118,996,010,992,298,799,277,791,213,869,072,993,148,594,714,242,241,
895,862,705,311,251,594,253,550,264,331,479,930,617,360,477,386,972,477,807,
450,254,722,458,646,908,994,549,191,667,330,538,915,193,193,345,546,325,803,
432,073,447,258,175,887,735,252,922,318,419,472,532,310,933,022,256,428,970,
123,089,529,873,561,816,315,239,221,674,110,371,598,010,795,209,837,741,458,
672,414,621,845,854,329,316,100,996,284,794,499,922,542,749,237,223,784,150,
449,306,840,276,607,185,806,534,481,136,949,930,211,841,519,833,913,165,367,
865,132,125,051,370,422,149,760,657,298,954,918,847,543,663,275,513,396,007,
501,557,030,652,134,701,314,576,242,115,859,957,488,307,609,254,118,822,419,
851,543,682,935,044,695,583,275,556,799,618,702,252,685,897,104,900,557,068,
917,482,591,873,636,897,456,429,455,366,846,591,018,063,104,148,033,619,611,
025,780,101,973,051,470,914,455,349,860,231,297,028,963,554,756,274,738,338,
067,716,753,048,121,272,071,092,593,863,454,911,960,938,310,608,725,921,094,
036,212,918,904,914,186,341,479,782,450,035,206,161,719,917,581,574,494,803,
660,117,683,317,202,674,555,531,434,252,671,216,218,934,760,996,420,628,704,
268,593,709,220,974,429,921,868,945,202,064,960,124,643,023,214,884,805,558,
136,165,003,184,303,143,190,405,361,230,851,496,421,847,048,632,244,844,286,
752,926,952,040,330,376,325,665,138,445,876,408,943,150,791,253,181,419,879,
988,244,795,375,929,549,566,843,977,142,125,772,069,924,850,168,991,872,375,
761,093,557,975,147,192,506,875,396,969,743,942,056,500,597,014,627,126,369,
093,221,058,251,768,029,064,238,615,344,541,047,616,123,048,461,677,201,445,
967,865,808,954,749,357,576,554,900,178,113,734,950,103,989,324,925,128,106,
160,901,188,680,658,755,275,960,219,173,287,758,204,652,417,316,162,152,942,
151,466,173,683,681,978,387,168,849,262,510,000,904,647,747,071,720,836,649,
847,424,011,565,882,130,836,332,432,287,104,853,238,312,890,357,224,007,566,
894,441,662,812,786,333,983,912,510,954,283,984,138,598,444,079,047,382,981,
698,398,908,109,186,118,762,801,311,525,206,753,454,968,295,371,362,730,526,
679,000,703,756,717,083,237,596,306,656,137,124,668,340,428,615,022,735,812,
377,051,852,494,193,218,033,511,828,527,570,611,211,750,548,692,938,175,627,
241,090,378,806,963,548,515,093,403,270,125,264,766,236,018,794,628,120,569,
175,947,453,790,908,894,780,305,127,879,980,054,506,989,256,679,372,490,965,
355,106,930,962,769,856,147,245,224,833,726,375,381,443,044,083,738,012,477,
407,363,435,829,932,448,543,711,206,203,823,582,571,328,985,774,091,611,251,
521,155,472,046,849,963,050,538,357,452,193,864,557,075,328,667,108,846,621,
813,882,155,872,968,241,935,360,196,884,808,845,603,755,769,945,415,103,213,
603,148,025,627,872,501,005,480,581,774,767,133,917,637,278,753,810,732,082,
936,262,785,362,246,517,690,699,211,399,228,080,957,973,191,999,649,818,833,
210,434,181,978,434,859,611,461,513,133,082,832,985,198,089,067,821,100,502,
528,778,218,686,002,863,656,008,598,971,857,771,164,961,361,638,324,220,003,
032,786,339,253,542,377,565,700,377,930,399,746,763,389,767,657,611,952,562,
803,865,263,435,372,837,160,707,910,177,866,738,772,429,620,030,760,999,391,
540,158,263,316,453,203,620,159,337,720,727,751,646,494,252,210,568,330,132,
878,216,003,084,263,677,448,167,670,589,663,204,581,469,206,869,240,406,051,
404,322,745,945,256,229,561,680,196,492,768,884,941,264,077,043,937,249,752,
213,592,163,667,047,416,456,023,251,103,648,515,916,444,238,799,396,615,219,
225,900,295,019,045,199,394,667,880,582,914,297,680,637,647,532,387,333,877,
697,140,262,890,743,838,976,547,745,059,144,894,391,423,731,415,451,462,381,
975,895,811,685,744,906,076,008,182,761,986,973,676,083,552,906,750,117,926,
355,793,759,193,751,166,803,274,400,306,375,553,957,932,980,393,673,204,741,
813,819,614,700,241,965,202,691,082,924,063,974,961,102,379,502,764,772,492,
315,249,226,876,840,448,744,888,644,954,488,178,206,559,962,679,604,861,323,
754,627,675,602,838,639,587,379,336,217,501,220,518,945,600,680,347,929,590,
952,703,975,714,493,940,141,414,038,769,793,282,548,432,787,323,871,796,325,
591,082,735,514,800,807,003,407,409,247,459,316,970,467,164,245,042,564,959,
002,422,241,926,457,902,533,047,482,743,589,989,651,883,622,044,659,081,368,
690,298,554,013,281,832,597,807,800,851,349,238,079,874,296,277,426,616,199,
405,210,198,663,528,499,131,039,275,119,651,687,236,538,765,181,499,439,620,
912,567,146,040,242,806,308,537,182,010,750,258,550,818,129,028,896,744,873,
866,905,801,874,283,895,122,229,130,805,733,724,133,301,320,928,937,500,081,
530,023,132,373,023,160,650,564,980,479,183,441,665,453,171,045,777,908,895,
467,015,018,172,409,918,050,934,130,314,899,060,429,703,108,778,331,955,346,
714,264,781,847,302,780,174,010,621,003,098,953,252,732,188,070,480,380,732,
144,076,571,408,242,378,209,756,890,392,759,374,848,110,407,045,363,480,850,
977,953,582,744,102,364,871,855,748,525,259,429,988,461,888,016,898,570,682,
836,321,393,313,993,217,007,887,177,184,390,302,074,197,633,654,568,445,695,
917,996,585,591,176,096,289,529,206,134,025,386,001,395,807,877,517,673,614,
139,883,430,950,842,838,945,679,842,183,845,228,304,292,655,700,007,722,085,
954,859,247,483,027,128,810,218,995,983,878,018,359,631,697,828,097,620,080,
069,397,293,187,280,221,321,330,054,872,201,039,038,988,644,153,968,470,475,
376,985,803,563,945,791,816,995,005,522,205,279,846,215,372,581,618,622,353,
581,367,138,326,543,890,169,241,985,347,063,265,217,498,460,997,327,524,488,
251,099,594,063,474,134,919,293,911,326,649,350,067,117,304,791,001,035,045,
899,307,533,375,099,616,146,992,842,728,863,360,266,234,605,893,960,352,651,
301,938,887,190,073,954,131,446,505,695,368,106,107,157,056,245,129,159,312,
135,667,690,700,819,408,909,329,240,518,655,753,223,617,419,512,659,506,319,
375,760,834,477,905,505,548,606,993,890,139,155,926,358,034,318,867,493,431,
388,033,004,770,304,020,794,494,788,443,092,507,604,283,382,305,394,480,840,
942,506,352,633,933,400,141,967,313,927,357,199,807,752,065,205,472,357,863,
820,656,354,982,170,952,679,675,841,600,857,482,977,292,984,232,966,316,136,
355,615,246,916,559,140,322,543,670,731,294,174,070,554,686,887,463,374,184,
289,465,061,014,724,238,414,711,464,563,099,106,849,489,051,803,754,967,950,
292,466,263,638,189,951,085,605,887,235,750,962,619,643,618,797,320,366,544,
626,915,106,000,690,591,616,146,395,318,123,656,361,998,511,134,939,348,162,
982,111,422,146,087,613,696,373,227,761,577,741,452,997,363,448,204,079,047,
008,417,380,675,427,395,133,780,192,748,393,496,726,966,093,717,897,987,040,
206,828,420,133,958,707,159,148,622,078,112,489,597,061,512,009,369,446,106,
831,255,196,968,957,190,238,825,435,702,695,527,207,219,985,216,180,858,560,
529,367,218,906,753,754,777,458,102,411,108,422,242,156,234,252,088,844,674,
418,232,339,820,091,236,993,739,338,640,520,785,348,472,486,980,939,581,778,
061,559,426,487,981,265,060,617,321,672,126,293,233,218,339,254,722,710,197,
022,504,719,175,162,331,023,417,029,414,993,117,484,030,368,064,437,130,872,
887,974,445,636,057,994,965,480,224,874,972,213,026,674,603,885,335,944,217,
337,655,630,496,884,971,233,975,355,314,938,665,740,550,998,406,928,678,850,
114,029,680,706,625,055,629,728,304,106,755,726,816,539,103,814,758,985,745,
699,524,615,525,284,655,279,411,212,028,382,854,545,175,783,662,682,967,413,
889,112,515,235,377,662,641,406,967,432,837,422,929,825,036,442,904,606,095,
121,363,982,273,806,005,894,291,602,292,858,406,387,217,008,464,420,803,017,
094,202,019,949,384,195,668,751,670,809,768,266,825,132,858,536,326,005,709,
814,139,186,890,192,494,856,005,026,870,420,134,657,291,640,150,634,579,284,
379,999,920,086,131,775,485,574,558,886,949,433,855,765,835,882,961,722,748,
646,703,701,088,615,944,113,992,684,171,089,801,187,761,158,689,525,400,992,
645,100,408,832,267,189,781,324,108,760,624,070,286,793,949,220,527,185,554,
216,193,135,691,869,349,235,203,495,464,621,924,486,232,167,872,449,487,715,
133,413,701,210,198,052,538,362,756,092,429,745,091,222,896,933,806,288,458,
267,703,008,860,875,473,392,020,968,940,194,408,780,060,375,983,841,265,206,
390,767,488,396,307,911,753,183,829,027,294,439,517,674,104,737,794,924,155,
041,098,672,385,689,621,489,239,492,248,842,274,711,672,382,168,888,139,539,
166,098,673,778,815,592,867,791,255,546,853,932,796,190,116,141,737,655,908,
759,019,888,638,855,972,538,412,842,048,947,483,481,994,639,089,843,881,834,
802,950,913,125,435,607,414,179,249,193,029,275,707,882,656,593,883,060,889,
618,089,680,051,220,836,028,477,430,480,869,711,037,740,540,997,184,201,407,
704,291,234,641,003,439,703,629,938,189,016,793,149,557,201,116,974,252,523,
030,884,230,843,432,012,445,241,093,450,952,833,681,305,270,227,867,159,348,
771,067,700,779,267,772,663,893,430,218,396,573,452,165,296,819,875,442,327,
018,865,897,408,366,360,377,433,372,472,510,546,757,365,957,027,253,691,219,
480,667,988,087,315,083,151,009,325,582,001,930,814,763,014,384,688,049,992,
603,705,449,371,001,514,126,286,999,191,940,920,013,753,818,774,914,700,159,
504,423,113,708,615,268,089,103,595,620,341,217,083,831,021,519,136,423,511,
870,844,100,482,499,873,889,608,806,246,292,537,836,718,494,709,935,515,343,
996,723,765,821,222,847,276,900,897,528,032,604,365,225,260,259,191,145,046,
804,514,848,793,153,478,151,083,018,000,596,740,139,238,220,208,777,033,022,
011,875,563,577,254,787,541,365,468,370,201,314,825,500,184,354,814,282,822,
691,908,043,062,236,117,053,914,930,065,097,505,976,064,568,808,808,020,942,
727,808,636,024,103,889,854,178,610,568,834,218,551,260,372,561,791,479,953,
425,545,960,890,379,255,078,634,839,363,553,704,435,356,884,010,820,490,750,
202,819,344,508,538,637,237,386,499,027,699,548,083,298,659,505,112,595,488,
399,127,892,891,930,357,171,407,249,004,893,071,109,975,790,384,938,379,827,
330,458,351,431,474,197,916,875,896,095,881,574,309,994,405,803,308,273,778,
785,224,024,115,757,251,030,837,911,861,179,303,707,412,490,197,536,031,777,
663,294,184,517,646,631,377,394,877,169,910,975,124,937,104,760,287,993,226,
795,459,401,668,941,045,837,806,406,483,092,530,968,759,176,257,355,883,066,
385,352,578,410,624,453,574,053,326,550,598,158,898,779,410,672,367,135,416,
589,399,905,419,833,303,017,819,890,605,173,896,799,860,060,336,480,450,842,
040,123,976,145,796,105,856,504,686,854,502,274,512,071,456,663,342,257,552,
667,950,736,555,993,800,794,739,734,652,446,106,699,032,990,650,671,807,091,
618,128,396,657,038,912,365,800,354,966,391,659,381,393,034,762,293,101,253,
807,607,113,891,050,519,199,103,963,798,186,917,365,145,979,676,906,179,674,
037,690,821,354,485,089,547,814,933,465,585,385,708,807,737,350,352,228,255,
979,281,423,433,343,288,157,760,060,741,475,995,641,660,738,220,489,480,503,
466,508,855,820,932,930,655,815,509,230,779,046,321,078,488,040,136,559,118,
500,182,786,997,998,274,164,485,117,842,907,589,688,447,316,196,038,861,736,
593,906,725,698,146,302,571,142,496,037,579,380,811,429,172,672,111,212,100,
997,017,397,258,994,087,540,554,681,913,101,212,773,946,459,358,639,612,634,
050,586,606,940,946,693,829,245,181,882,988,891,781,967,029,980,511,646,913,
240,604,446,106,356,049,580,548,909,630,224,140,849,179,835,432,088,734,834,
877,020,567,814,327,878,484,611,117,862,866,940,386,142,027,456,551,690,835,
103,093,846,961,533,056,232,801,804,722,981,524,504,374,040,639,557,491,139,
426,109,346,480,224,952,788,333,405,467,027,160,671,615,853,389,856,058,422,
837,108,052,634,488,037,316,371,863,208,795,331,941,986,946,479,375,780,720,
448,698,717,314,471,554,016,341,291,780,781,249,537,945,446,231,029,910,703,
146,681,806,056,424,633,348,833,102,347,990,091,440,617,594,021,169,243,490,
618,846,338,581,362,623,450,603,837,360,570,689,050,810,017,991,310,673,826,
737,949,793,494,267,765,933,899,628,863,440,817,933,577,101,965,194,479,903,
519,513,154,097,573,318,852,546,674,317,124,291,176,055,986,882,395,223,694,
099,191,958,144,541,333,215,811,111,256,300,316,647,112,266,650,954,341,916,
700,165,203,602,443,865,677,009,058,205,530,682,329,577,147,026,553,385,602,
105,673,503,637,642,160,241,075,814,019,917,280,078,273,505,008,197,077,631,
755,623,053,344,710,596,984,071,644,947,072,909,509,378,714,530,513,657,244,
528,809,317,134,850,365,653,063,593,638,897,628,814,949,766,624,332,596,781,
812,446,340,844,650,467,771,248,448,454,880,975,545,816,386,063,616,399,729,
515,113,252,606,428,288,109,890,942,188,571,197,696,850,376,534,909,583,333,
261,496,362,466,392,831,493,100,415,966,989,323,680,689,900,461,529,078,644,
925,117,618,279,679,565,051,348,082,635,217,672,511,941,996,264,161,370,201,
467,130,085,747,321,436,769,702,004,708,567,175,832,147,146,252,305,864,568,
970,109,079,947,460,889,251,342,745,131,248,179,492,202,929,999,547,249,244,
600,672,589,919,908,944,566,856,707,818,785,896,684,302,126,882,381,594,606,
699,388,821,325,340,003,769,724,067,829,139,658,939,080,038,336,694,848,947,
695,992,769,173,485,793,777,305,175,267,611,680,909,369,511,459,190,452,134,
567,186,409,607,938,642,967,643,283,300,919,738,664,543,213,023,677,536,972,
484,727,939,740,201,715,180,226,075,531,623,618,562,750,294,863,405,433,318,
927,664,708,234,385,410,342,654,783,212,585,848,582,682,339,707,851,089,117,
643,403,328,897,105,318,113,469,279,668,129,961,633,293,992,714,222,660,371,
234,598,595,148,778,948,838,316,075,028,519,797,096,629,687,948,182,788,502,
990,088,237,009,849,541,033,344,890,336,316,595,562,554,144,091,844,657,041,
487,681,445,883,812,063,570,275,671,747,921,208,086,310,724,195,905,658,104,
786,679,584,554,413,222,834,866,138,457,153,015,042,585,343,739,747,547,923,
902,733,108,101,132,889,000,997,821,665,020,987,617,344,234,842,852,057,958,
399,417,048,386,369,519,472,473,587,607,514,890,961,482,664,521,947,121,136,
998,967,300,834,294,812,522,319,134,390,934,683,009,256,857,937,601,587,154,
638,857,939,391,265,953,666,148,368,990,471,960,613,792,967,355,311,632,711,
177,621,454,556,384,915,387,030,020,229,215,484,021,009,964,073,875,842,896,
754,714,015,199,788,333,323,393,227,143,353,515,887,407,000,856,009,032,649,
409,300,395,766,232,397,938,943,787,104,180,994,193,538,176,272,506,630,400,
915,788,886,329,154,508,184,655,586,813,126,164,981,698,633,599,639,070,699,
501,977,828,341,201,837,122,228,169,743,993,281,097,640,332,638,337,814,436,
156,391,691,253,313,641,873,117,134,037,589,864,769,685,797,500,789,183,951,
392,073,553,406,338,908,610,072,593,152,644,481,298,790,173,090,070,046,202,
156,858,233,609,072,562,392,191,824,458,832,839,576,808,286,944,856,927,568,
364,532,310,311,998,358,812,883,422,774,369,767,445,411,896,148,383,586,085,
252,008,090,388,712,926,801,057,145,634,014,729,385,805,392,243,408,722,770,
237,623,270,072,621,502,445,629,585,616,321,644,525,673,782,080,308,283,960,
649,118,390,649,204,584,924,471,162,791,583,766,207,800,529,651,697,408,806,
033,155,284,719,774,823,429,385,404,573,483,538,038,327,384,772,538,395,484,
400,204,972,814,920,531,859,709,100,563,594,883,239,039,668,052,007,998,730,
448,699,741,768,462,137,657,153,928,826,373,154,503,735,166,116,281,267,038,
122,859,553,003,147,677,467,964,732,488,729,356,388,657,491,069,360,621,837,
061,078,327,594,623,793,804,975,578,484,807,783,891,310,423,708,254,768,140,
174,927,149,731,912,981,643,218,297,185,603,379,086,235,639,693,891,383,448,
618,287,228,754,794,168,066,011,724,787,738,129,914,365,873,421,349,823,307,
195,070,684,085,658,873,393,031,945,192,310,461,212,328,413,978,298,179,431,
018,730,839,435,027,250,343,468,366,196,254,392,087,009,174,805,556,835,159,
104,686,574,199,852,168,616,651,209,148,462,553,009,501,410,873,192,153,608,
236,731,233,377,025,732,356,786,561,035,107,975,387,828,660,646,245,339,654,
463,536,996,881,490,404,702,800,028,561,149,280,241,715,130,373,731,727,992,
216,677,639,051,108,835,004,128,891,126,197,157,004,443,132,519,148,705,762,
083,566,629,682,910,564,968,297,930,334,010,900,770,234,241,675,529,817,995,
637,235,742,815,703,951,768,629,570,691,237,013,324,383,601,844,033,373,724,
523,989,470,321,875,606,433,274,893,013,487,416,163,743,306,555,213,436,588,
059,275,626,353,429,822,122,508,829,445,970,487,786,367,510,984,309,278,597,
317,147,434,644,879,173,629,634,304,110,122,845,507,047,580,228,045,182,731,
818,366,438,008,771,202,355,305,351,947,301,558,776,710,681,708,679,332,510,
269,969,274,718,876,632,723,067,753,480,949,095,417,648,212,458,160,854,861,
597,094,250,618,835,244,075,624,373,598,410,021,006,092,627,537,988,146,014,
504,072,514,469,756,273,660,389,555,159,927,968,026,070,524,628,336,458,335,
293,344,147,411,142,211,379,376,779,397,555,078,720,832,566,600,192,146,750,
868,358,597,187,837,060,723,453,078,562,095,198,167,919,432,918,981,968,216,
830,733,859,376,271,158,580,121,678,939,481,229,823,206,905,121,979,444,680,
796,482,068,540,533,482,441,531,607,732,762,471,484,326,846,564,162,381,155,
006,086,960,839,288,853,020,582,265,350,956,632,032,612,772,624,106,854,263,
274,212,475,712,089,242,228,218,441,010,007,662,081,642,030,141,114,845,026,
527,560,493,062,778,787,619,632,708,078,933,271,744,942,819,131,960,852,617,
229,931,758,053,500,428,436,690,381,740,096,782,939,727,293,568,946,449,549,
063,869,176,051,760,060,677,902,307,673,935,712,063,425,489,459,025,856,687,
141,693,295,186,547,118,115,972,545,092,030,789,936,610,340,227,544,989,982,
977,160,369,387,678,970,527,055,947,961,071,142,314,059,029,127,285,584,301,
489,100,772,756,936,814,371,571,913,774,107,106,514,337,628,255,777,002,024,
523,045,093,252,165,237,569,351,899,548,247,577,731,113,455,477,075,165,479,
283,855,982,175,972,780,575,176,743,650,246,924,228,429,391,949,461,285,074,
995,790,699,978,222,373,220,244,261,709,662,284,731,429,910,125,463,504,376,
536,045,824,599,447,264,287,532,829,064,550,241,209,858,360,145,133,264,978,
643,896,063,259,915,898,517,274,306,789,879,641,286,034,281,913,598,431,356,
089,996,095,211,850,609,802,693,414,830,758,792,399,437,048,918,735,209,156,
246,103,893,724,783,765,870,781,394,417,926,740,704,185,991,992,709,229,565,
429,295,954,196,850,177,908,821,085,883,467,029,707,328,228,522,573,815,936,
255,708,081,565,217,162,997,007,138,684,256,325,503,365,299,092,369,410,004,
110,025,044,300,919,462,781,072,939,279,705,897,188,691,694,039,374,205,810,
133,031,463,535,318,529,077,027,677,299,034,702,409,958,591,771,584,614,271,
335,323,708,628,060,607,148,257,749,305,014,146,376,994,201,588,979,917,905,
043,748,994,911,528,039,048,514,610,289,015,582,424,399,365,634,171,529,959,
038,566,335,815,068,249,248,590,303,571,007,110,690,937,358,226,573,447,366,
891,464,126,126,987,974,243,627,790,112,146,411,850,670,970,349,890,867,595,
974,653,656,314,740,137,702,467,946,193,288,517,583,566,312,685,110,926,211,
951,506,493,111,028,466,319,904,817,032,411,225,230,831,594,241,794,538,024,
873,358,367,270,275,431,345,585,575,843,698,439,271,448,215,009,856,010,988,
596,697,206,462,590,291,913,538,476,365,027,908,828,970,656,224,765,061,212,
455,873,117,986,791,894,010,094,834,282,380,113,891,107,781,151,368,592,354,
337,151,486,610,364,505,070,275,891,576,212,101,902,799,267,696,895,154,882,
074,548,470,136,542,892,826,091,072,242,212,483,111,646,291,628,274,505,566,
792,751,062,209,343,822,255,842,740,515,831,612,762,091,204,906,632,967,683,
232,814,415,623,001,981,258,564,576,769,611,011,741,015,526,056,032,298,534,
148,877,448,801,104,556,552,272,182,512,992,293,108,407,564,072,183,457,174,
182,961,066,843,423,303,008,082,190,523,297,988,266,380,963,583,287,699,756,
440,377,765,885,116,985,317,283,572,508,963,382,012,255,885,949,408,062,714,
645,442,790,005,323,743,333,616,192,401,734,472,943,564,709,071,390,780,922,
618,582,333,342,576,979,941,517,383,190,994,118,750,942,150,735,762,830,682,
053,126,761,473,517,986,116,559,653,480,514,311,399,279,692,209,321,892,566,
038,399,710,486,186,078,670,143,992,351,168,521,540,329,365,825,129,923,013,
269,353,904,721,714,213,865,777,240,450,211,723,654,221,243,971,620,838,997,
738,699,695,220,643,754,115,546,245,544,672,255,038,448,228,055,563,705,730,
342,519,804,586,329,114,848,957,492,541,980,300,072,613,809,165,122,894,662,
842,328,480,982,949,576,866,901,786,565,439,817,432,927,917,143,301,532,452,
806,297,744,385,358,158,511,628,768,700,412,081,301,303,756,832,324,576,376,
031,427,152,110,795,816,871,159,563,627,934,587,515,817,937,418,297,817,891,
701,293,227,600,591,372,280,404,809,725,881,965,687,723,689,314,662,128,248,
581,378,852,454,923,131,409,794,513,611,916,003,694,131,750,502,749,669,898,
384,888,994,870,946,996,763,658,969,282,388,912,326,967,413,756,698,970,559,
622,035,294,338,322,639,578,570,505,058,779,637,635,182,417,445,077,771,825,
806,266,827,406,554,538,273,742,637,108,573,220,965,923,435,318,611,098,175,
625,936,203,705,006,487,524,491,620,716,358,124,950,800,195,184,736,118,612,
587,456,942,151,402,557,144,945,685,896,091,174,085,799,074,209,939,972,969,
742,838,495,120,919,585,796,485,891,039,872,985,952,249,669,296,184,565,295,
699,680,435,890,112,358,687,139,021,023,059,270,912,321,869,632,592,806,339,
187,289,900,762,524,687,906,469,079,806,720,442,343,441,896,590,179,839,404,
638,961,403,973,781,717,599,589,816,640,868,738,270,550,372,240,629,270,331,
227,884,328,369,027,619,496,958,102,502,988,321,513,469,333,826,144,754,335,
380,010,067,462,111,195,153,701,723,549,539,239,231,207,914,594,926,561,179,
962,627,816,870,822,368,396,808,993,083,928,819,106,053,134,328,482,289,969,
294,661,116,637,053,228,459,588,906,814,518,974,968,891,713,279,310,250,037,
336,580,900,997,726,344,669,522,807,704,627,795,385,655,879,453,797,691,267,
859,163,776,962,553,646,416,066,262,013,956,738,285,675,213,488,321,159,374,
723,296,423,239,675,007,901,346,851,235,645,279,882,707,564,401,842,233,007,
740,047,350,083,084,063,036,206,409,984,225,726,465,747,978,128,310,083,562,
820,277,692,602,040,036,606,661,133,520,695,207,612,226,685,394,603,224,382,
936,148,364,728,690,206,943,093,709,626,110,508,398,276,095,722,590,003,051,
850,138,161,246,929,696,088,743,380,110,198,010,503,655,158,291,674,971,432,
291,576,628,777,735,948,750,111,619,082,049,720,197,883,742,396,426,810,715,
565,123,139,650,409,500,222,918,757,695,993,089,990,975,246,182,472,190,708,
073,927,202,962,101,691,362,205,294,874,021,526,655,672,815,411,388,916,350,
970,295,034,723,639,570,906,006,756,472,949,474,653,260,759,413,557,411,940,
128,217,903,442,164,756,521,299,165,010,099,058,036,408,035,549,637,468,028,
123,283,166,755,754,369,562,452,539,529,822,238,727,913,895,557,878,378,760,
213,137,471,240,196,094,895,186,878,021,103,929,629,735,321,096,040,094,099,
428,020,610,066,468,732,457,491,985,861,301,464,197,687,732,202,306,319,535,
995,973,082,946,151,853,765,655,650,245,757,449,580,631,635,615,367,569,585,
197,620,409,090,310,554,146,504,394,328,166,827,483,448,875,016,929,178,745,
340,723,434,373,385,477,695,374,283,468,424,530,084,267,995,333,633,675,174,
136,428,525,617,101,605,516,008,804,461,374,953,512,368,190,567,985,932,855,
226,290,052,454,607,118,618,120,052,249,756,110,531,186,942,250,284,248,241,
040,040,925,953,716,616,444,803,421,130,678,618,375,621,131,795,600,013,322,
423,671,975,701,956,150,901,863,034,246,981,692,028,921,206,817,100,389,739,
439,665,373,239,629,464,493,892,395,904,233,500,304,550,784,841,806,547,812,
599,666,913,790,443,042,461,339,914,024,950,188,131,750,570,139,951,174,814,
873,782,553,585,580,376,598,205,295,894,511,872,361,602,918,717,618,153,727,
535,471,719,307,510,535,891,123,874,040,868,675,017,591,703,707,860,903,979,
852,549,354,384,315,088,606,316,148,006,078,301,035,474,873,462,256,583,192,
041,641,278,978,424,788,872,546,878,896,504,106,403,169,573,444,160,383,714,
666,092,173,252,602,919,009,945,202,434,107,421,594,312,155,661,335,087,465,
908,455,035,544,879,199,613,521,861,196,867,699,231,226,446,043,026,025,067,
620,607,714,265,826,640,073,079,978,090,944,266,199,592,054,696,084,880,561,
671,434,498,173,821,462,794,846,609,000,069,928,029,842,237,518,837,897,428,
539,963,175,069,904,826,967,206,335,451,444,630,154,744,093,735,201,955,445,
904,272,259,347,017,143,527,273,225,994,721,537,656,861,171,061,551,335,431,
240,602,112,134,846,924,059,534,919,293,774,656,945,054,316,951,388,894,134,
296,450,990,658,179,070,999,065,252,741,309,646,882,178,129,522,170,129,527,
728,251,617,949,592,261,906,388,864,401,906,073,445,874,086,322,750,257,296,
435,506,064,600,241,824,276,972,699,755,681,796,533,970,638,791,615,222,793,
604,601,489,862,126,573,750,190,248,137,979,873,862,958,121,112,155,146,965,
249,017,608,043,641,102,751,979,437,037,517,899,599,094,867,366,103,385,122,
944,775,809,009,807,322,945,574,359,790,828,331,584,733,157,806,466,083,820,
901,174,347,408,643,644,999,392,587,825,929,962,841,385,631,934,558,128,816,
144,674,488,393,860,937,669,011,703,944,788,231,082,556,086,957,340,379,829,
239,469,640,106,373,881,936,981,281,433,832,632,954,678,201,051,105,350,643,
382,351,793,753,467,948,101,705,813,945,078,421,543,895,709,754,156,351,701,
294,818,689,781,997,976,408,158,337,865,325,771,906,532,397,153,731,603,569,
731,251,261,289,529,176,500,703,914,041,733,089,913,899,721,832,582,863,730,
953,568,341,849,354,464,957,312,392,730,823,348,652,474,324,759,596,404,217,
908,329,434,250,628,483,220,217,842,442,703,588,011,344,916,456,815,021,766,
020,729,049,883,048,596,963,648,290,429,903,052,050,391,801,791,125,706,815,
848,412,599,156,263,684,111,183,187,234,569,548,737,377,292,930,794,310,914,
166,297,005,695,534,508,927,259,308,386,124,089,571,046,900,343,488,328,900,
228,487,132,468,089,430,340,297,597,775,958,157,455,674,862,213,662,267,844,
014,835,039,317,049,930,571,796,190,553,862,540,265,028,242,629,807,464,531,
655,908,958,770,245,023,833,146,099,956,846,600,944,332,393,414,833,861,715,
171,596,342,848,614,180,861,992,568,453,763,260,183,941,120,708,747,961,712,
937,997,430,833,540,134,078,089,387,890,688,581,966,228,342,307,574,087,024,
643,823,379,355,380,905,945,144,226,893,938,665,242,115,811,235,518,326,814,
259,861,207,343,951,547,238,613,493,653,500,433,881,379,853,695,187,930,118,
794,052,931,643,318,245,417,374,142,992,583,531,579,463,456,211,152,668,261,
493,599,543,267,083,091,384,190,531,419,745,234,091,061,981,490,202,365,391,
397,879,479,360,209,969,342,618,918,121,757,755,355,936,623,844,992,404,793,
131,081,240,232,734,742,430,908,434,595,833,380,882,657,538,965,471,020,166,
450,301,455,694,065,206,150,056,410,159,727,985,734,398,553,073,911,520,511,
336,888,692,448,934,898,800,459,762,815,442,769,291,503,647,628,879,482,517,
493,531,713,594,614,012,139,509,395,301,119,175,100,786,898,013,368,560,117,
810,259,177,384,966,891,256,838,025,773,972,525,436,239,940,887,189,024,397,
711,933,309,396,575,183,162,998,295,094,308,544,838,471,418,733,447,204,712,
683,813,951,320,237,249,101,113,258,455,423,225,039,921,140,565,449,233,582,
846,693,802,201,092,715,768,115,818,031,752,324,424,761,605,700,558,495,288,
012,218,308,826,641,404,658,833,368,732,317,266,016,136,587,744,566,422,668,
094,979,409,171,561,649,587,133,771,434,855,639,043,806,528,153,789,069,924,
883,010,366,536,625,267,394,559,834,788,920,669,447,124,674,855,535,611,405,
712,208,889,067,902,919,805,781,570,400,578,702,531,098,087,795,415,232,709,
879,085,680,756,273,038,592,582,240,165,931,277,087,585,902,848,286,829,554,
483,700,921,418,160,750,617,304,622,030,981,847,429,042,350,748,011,705,865,
157,973,573,969,084,813,868,958,963,908,844,998,261,864,686,719,540,810,027,
635,536,051,021,445,218,837,887,428,027,608,485,522,029,545,877,390,529,747,
341,929,562,738,422,753,083,472,850,803,690,212,136,321,088,599,514,657,376,
733,638,917,098,494,688,113,336,766,067,180,613,077,202,807,398,164,687,397,
670,348,282,023,009,469,700,572,976,898,271,821,825,298,141,607,840,233,903,
253,142,990,990,083,972,727,689,215,825,713,438,460,645,899,410,275,937,239,
739,978,089,830,288,669,949,804,980,788,138,649,003,876,306,928,216,321,781,
867,151,410,161,282,563,527,745,970,114,963,873,076,819,790,607,784,058,227,
023,145,263,862,577,965,931,038,897,659,015,229,885,657,366,371,812,040,723,
127,611,433,470,980,323,825,508,526,341,780,171,709,459,950,356,067,231,665,
771,582,441,273,018,721,635,573,128,203,228,875,961,732,940,514,781,803,518,
028,445,793,520,552,423,785,310,043,951,655,814,798,893,193,255,342,469,453,
345,371,841,458,911,361,794,374,998,049,554,534,276,716,037,303,889,902,419,
100,764,005,974,083,183,765,591,897,309,253,018,926,626,237,888,295,437,202,
001,490,399,033,720,230,772,125,031,729,702,510,864,065,140,272,601,870,767,
728,188,019,447,553,315,646,065,192,567,802,561,997,329,057,883,412,088,366,
285,260,658,217,228,956,945,432,454,177,645,032,489,605,503,738,080,251,630,
289,490,926,210,191,783,237,439,525,887,812,996,791,666,358,473,720,740,437,
827,713,729,126,169,913,431,316,306,054,497,497,624,374,228,652,568,883,677,
415,077,463,745,684,906,873,025,498,442,962,736,719,809,251,398,116,508,381,
237,599,656,322,623,432,637,315,848,750,329,588,070,034,014,400,693,702,531,
187,860,885,596,818,838,318,152,053,607,877,815,670,096,213,764,280,145,257,
283,558,627,256,971,322,306,359,541,013,500,838,316,897,678,166,570,028,683,
669,080,199,578,100,241,515,166,726,332,568,635,988,651,274,064,391,282,812,
414,451,897,362,636,160,595,332,901,723,238,776,330,823,691,289,802,838,294,
739,877,547,393,686,420,528,473,723,561,558,701,732,445,487,101,260,932,456,
698,400,058,987,211,025,835,979,200,611,099,819,049,616,570,360,177,510,715,
136,572,602,715,820,861,787,706,032,702,437,817,222,508,798,577,784,281,537,
756,227,082,853,993,092,519,011,940,209,605,636,422,506,750,709,796,968,310,
414,885,891,852,884,693,175,551,858,970,671,475,242,642,432,293,258,260,669,
327,236,919,941,859,515,952,715,178,283,921,586,592,284,394,155,503,803,773,
964,896,321,056,977,468,419,065,833,495,962,917,998,741,972,499,781,180,531,
162,116,067,523,025,984,555,629,053,988,067,781,025,323,017,085,457,544,912,
225,468,609,976,447,244,383,119,008,943,169,564,177,457,425,060,244,422,230,
407,330,050,771,925,822,180,372,920,446,222,448,416,473,432,123,083,274,024,
066,017,326,721,240,767,196,846,488,498,073,520,756,183,420,727,914,375,846,
752,834,582,608,180,071,767,493,153,044,199,520,933,593,043,335,095,978,465,
812,172,064,826,106,078,430,209,591,792,772,649,443,685,836,508,676,787,425,
682,810,673,540,672,277,972,488,718,291,534,982,406,308,457,597,284,004,282,
551,694,231,608,563,394,581,016,057,855,466,728,400,586,758,362,784,087,584,
332,752,083,477,138,113,310,322,245,554,368,668,585,281,517,223,552,497,062,
327,969,781,192,751,643,072,326,853,633,623,769,296,415,541,374,868,529,053,
144,833,269,412,442,046,875,350,798,710,731,316,068,263,003,252,454,046,002,
400,730,447,668,511,990,578,365,623,588,842,453,039,292,255,135,191,284,358,
235,542,377,038,731,657,599,054,854,373,854,313,397,994,312,599,500,243,902,
801,202,014,929,575,309,011,822,801,091,912,723,203,014,976,742,290,079,466,
377,355,455,104,259,328,975,235,207,282,189,886,981,595,088,123,342,889,971,
054,247,352,091,127,659,769,117,054,989,792,170,522,354,358,426,342,321,818,
188,490,892,391,153,849,719,813,953,170,115,294,130,794,991,238,801,678,923,
237,206,077,782,602,444,741,526,732,505,886,265,272,787,232,516,030,702,281,
898,366,337,105,876,405,551,390,817,561,951,590,138,227,851,828,693,192,900,
044,995,332,360,619,306,928,540,071,688,322,500,532,569,295,773,166,427,535,
978,196,340,262,293,513,254,116,899,148,078,155,791,280,727,570,989,395,377,
259,086,159,678,227,035,326,867,569,093,423,768,354,116,616,257,382,315,680,
966,908,595,559,299,392,333,440,688,046,441,737,610,867,356,605,832,271,830,
709,647,526,288,901,432,407,681,680,899,359,376,016,085,552,739,284,765,503,
209,283,869,870,950,443,603,274,357,338,106,901,356,088,020,410,062,738,806,
229,105,499,423,873,767,477,691,138,592,294,744,429,350,239,875,658,687,984,
747,472,011,357,260,886,412,124,937,604,641,344,950,228,276,449,084,230,901,
401,483,894,736,884,447,005,225,109,246,867,716,596,566,230,857,267,489,686,
609,839,313,134,113,308,341,325,433,972,824,249,220,873,517,341,391,974,993,
934,239,193,976,337,729,978,562,345,105,651,056,188,821,791,586,039,520,270,
584,292,213,084,350,962,704,320,018,446,102,092,173,469,155,135,355,096,091,
270,078,863,876,882,660,702,512,421,118,819,152,964,585,344,321,534,115,239,
748,127,312,188,761,673,802,806,566,944,713,537,085,268,802,299,790,463,363,
905,003,653,267,321,271,681,366,611,177,042,796,032,476,581,256,019,714,773,
897,771,966,478,944,732,548,150,607,587,725,721,309,174,379,118,897,188,669,
139,585,575,975,714,970,964,006,812,227,047,740,082,083,728,421,509,056,671,
246,750,239,443,502,830,154,052,579,965,761,715,538,300,219,426,820,399,469,
256,228,987,260,027,829,404,533,601,664,543,661,165,968,805,704,869,945,374,
733,215,347,701,430,363,518,093,019,323,881,038,772,544,540,494,471,869,555,
688,683,767,255,210,460,058,494,204,286,557,777,389,303,960,812,749,743,398,
676,844,961,003,516,491,768,443,278,566,399,240,143,085,781,833,072,523,887,
435,309,307,124,268,233,141,955,718,156,128,687,886,872,335,935,623,984,794,
609,680,430,811,965,952,372,185,319,874,146,623,355,722,900,984,437,592,054,
791,001,260,291,218,352,589,977,718,032,333,442,107,560,373,504,406,256,030,
561,152,986,841,222,156,822,401,615,569,685,531,739,432,727,931,679,819,606,
606,068,687,338,385,301,150,332,400,235,864,362,157,959,792,394,422,996,224,
235,434,981,717,266,570,109,707,280,150,928,164,931,045,589,824,805,543,343,
151,323,433,171,389,605,817,395,445,391,921,494,429,558,493,991,459,907,196,
755,045,224,212,865,662,078,621,849,947,112,968,187,875,315,234,905,130,913,
637,965,027,461,265,350,240,128,000,490,820,008,500,619,897,995,731,524,419,
302,381,389,615,269,864,885,846,864,078,385,728,358,466,548,063,089,906,505,
304,625,135,119,851,033,323,636,601,005,631,652,985,690,729,353,653,170,904,
336,481,272,872,328,251,086,563,554,769,687,514,674,397,689,560,883,141,920,
125,456,857,861,710,907,702,371,186,061,623,887,974,339,240,951,836,154,406,
574,886,931,898,996,474,136,701,118,993,151,907,235,012,096,837,525,045,861,
133,774,714,240,286,034,021,465,518,415,085,772,113,052,389,344,645,471,034,
717,684,480,626,675,326,431,763,706,395,707,242,922,752,978,996,506,471,580,
462,288,191,633,320,629,985,444,232,467,215,006,169,281,178,905,233,365,857,
193,919,356,479,397,785,741,161,449,739,857,801,113,670,736,718,422,985,154,
417,123,374,746,882,292,255,095,086,259,409,485,496,610,749,800,238,534,355,
972,978,338,236,731,946,322,221,663,997,373,864,766,686,966,258,418,110,508,
728,228,695,720,075,142,751,501,024,592,811,404,470,206,440,068,364,923,550,
635,717,748,744,953,430,485,890,691,195,418,769,677,729,658,140,420,303,045,
273,187,273,475,096,286,445,032,801,384,784,156,437,033,363,702,514,603,742,
222,478,995,517,144,256,098,426,339,294,536,509,265,393,769,115,671,416,663,
858,170,942,299,351,777,886,881,443,701,232,615,165,064,262,965,295,881,884,
112,894,241,861,220,605,825,467,330,359,695,856,906,861,221,305,830,057,922,
719,574,008,857,693,998,046,269,737,521,360,674,863,301,779,410,025,614,963,
400,117,803,936,498,276,994,344,076,733,610,969,200,991,054,634,064,375,018,
326,858,560,781,468,057,407,050,991,241,986,146,823,776,300,105,691,754,483,
547,563,378,031,421,596,567,618,483,828,371,375,780,822,938,630,623,279,580,
886,534,897,410,631,920,193,878,608,038,889,297,197,095,036,564,918,857,115,
413,597,985,358,626,117,727,548,205,910,684,273,107,505,487,186,898,439,744,
322,902,967,117,823,796,356,113,860,546,480,187,883,147,416,268,582,378,216,
190,417,017,171,550,602,251,261,089,590,957,619,886,699,619,401,417,830,955,
226,360,024,597,070,122,076,667,053,892,018,253,132,165,880,405,054,462,314,
564,633,562,183,391,489,014,631,657,286,881,673,764,461,707,072,364,738,413,
701,962,591,182,184,594,545,890,801,303,786,137,665,909,863,885,660,211,858,
217,857,792,209,597,939,128,407,065,761,996,297,514,373,240,359,088,109,422,
255,752,757,357,337,075,071,635,245,919,081,852,587,571,488,221,640,083,569,
854,369,204,876,352,840,185,203,796,003,215,941,774,903,416,027,257,136,931,
375,090,842,425,760,931,840,354,820,679,278,037,197,122,932,573,601,712,777,
348,093,739,075,671,311,114,399,154,220,080,295,804,607,301,378,249,983,075,
175,764,404,609,550,994,662,550,894,465,552,405,510,757,996,341,151,829,944,
727,346,202,677,255,827,143,464,902,622,139,762,626,981,894,204,278,600,277,
552,574,918,244,637,128,033,299,674,436,545,368,279,022,687,101,192,888,528,
333,232,275,900,638,054,392,044,099,245,301,048,820,680,541,784,478,113,424,
366,448,182,981,492,305,242,546,588,078,072,570,901,713,298,629,377,423,200,
892,742,695,544,892,213,885,228,375,992,100,403,109,288,465,741,012,198,096,
205,925,940,145,828,400,542,982,672,991,976,473,908,724,810,093,555,602,370,
107,633,553,882,476,624,206,481,429,916,376,126,752,429,316,136,037,276,751,
174,409,780,394,662,298,051,620,247,566,073,980,542,789,369,167,644,492,533,
768,073,473,283,810,763,307,577,434,756,463,940,886,015,031,205,519,918,115,
582,935,731,307,235,025,365,230,491,606,610,962,709,164,858,102,780,711,835,
293,491,220,003,981,020,930,480,955,819,982,739,888,883,975,563,457,437,300,
554,247,679,641,071,835,027,906,850,896,092,626,581,529,553,226,852,768,191,
237,664,419,086,307,304,243,396,006,375,448,101,966,145,906,028,257,882,753,
494,837,462,942,978,088,738,009,904,973,824,692,137,198,707,709,166,500,426,
482,340,654,240,670,637,325,982,980,190,343,011,624,372,394,428,242,739,092,
513,805,091,021,880,434,409,093,960,569,987,000,486,333,107,112,536,294,532,
023,446,325,178,964,312,103,925,384,446,390,740,434,015,493,538,550,865,001,
460,941,840,386,749,630,820,306,808,754,015,531,879,130,933,781,164,579,450,
386,244,140,210,553,891,112,158,496,647,679,376,966,162,323,850,680,862,871,
141,428,299,621,452,092,574,506,341,835,170,946,992,487,667,121,813,581,176,
303,577,357,488,788,243,819,202,179,897,836,466,417,292,417,112,213,660,663,
674,931,009,967,480,361,493,917,212,739,419,339,833,158,063,703,522,390,311,
319,308,024,692,965,286,793,651,985,288,647,747,667,383,968,210,791,150,914,
452,682,074,319,406,114,216,666,360,064,300,906,585,242,433,056,372,426,668,
743,991,542,684,608,812,641,622,514,583,135,857,792,538,987,308,713,687,494,
789,989,793,258,781,463,576,720,519,883,060,034,718,759,257,875,924,703,688,
960,593,364,688,655,047,108,993,410,572,531,165,229,534,693,697,298,535,327,
963,815,093,106,361,743,203,165,577,451,736,800,172,292,923,023,241,022,681,
107,923,973,429,799,086,183,441,471,934,437,787,953,231,522,222,013,234,081,
287,997,886,528,275,877,462,510,419,145,782,832,957,422,115,068,363,038,696,
908,836,556,300,393,066,840,396,558,117,306,101,583,511,225,549,117,924,385,
290,071,932,952,086,415,578,735,284,793,143,643,923,411,839,536,580,001,212,
668,080,036,377,777,596,323,528,356,272,023,831,587,708,165,824,419,020,908,
642,413,435,864,830,044,683,832,475,574,074,454,733,237,976,842,328,092,139,
039,226,841,204,421,330,854,663,525,128,140,066,304,115,568,168,248,587,425,
408,576,567,145,729,396,681,068,929,395,695,617,698,417,207,284,121,554,988,
554,907,497,865,219,396,079,792,434,556,603,135,468,931,613,490,396,466,457,
432,673,986,342,971,786,931,962,049,703,130,255,814,850,507,525,022,762,218,
434,302,597,513,616,914,916,230,248,881,561,493,203,211,013,901,033,804,980,
971,923,366,694,851,351,754,219,178,632,247,174,955,875,536,191,143,750,780,
188,389,862,770,125,034,841,465,228,263,969,677,696,082,017,587,221,128,947,
276,897,674,801,425,678,836,577,228,390,887,830,092,955,988,821,012,740,527,
551,720,277,332,947,882,159,524,856,775,273,874,933,744,857,529,337,941,258,
383,646,201,062,648,480,905,615,668,205,030,690,636,226,779,674,528,641,394,
834,483,824,175,153,412,364,861,731,224,287,134,789,316,900,478,092,519,721,
772,826,631,353,585,809,940,228,749,342,986,131,435,895,330,557,339,308,618,
834,346,742,724,967,942,812,041,772,946,037,515,788,871,439,410,155,852,018,
399,574,372,079,863,153,338,955,320,719,236,214,427,074,088,578,987,889,995,
943,817,947,539,838,615,174,810,085,730,913,568,769,292,104,595,960,595,835,
370,330,888,397,910,603,054,307,677,227,928,783,465,153,821,530,943,670,815,
493,474,163,710,470,002,775,219,838,156,266,175,320,962,504,448,157,362,682,
096,907,489,593,034,824,543,549,240,484,655,103,262,583,023,680,783,412,905,
943,166,998,900,016,792,408,199,316,429,389,907,628,706,714,205,762,108,698,
657,828,291,663,751,488,532,529,396,037,443,076,569,798,435,731,417,488,963,
718,332,390,062,078,840,469,402,550,574,981,984,491,946,279,386,316,911,430,
427,543,524,824,067,312,938,916,466,721,858,326,849,578,773,152,035,324,896,
912,330,623,471,662,471,101,846,517,544,567,770,563,213,142,659,766,204,055,
393,541,565,363,085,142,902,397,149,112,267,008,769,279,504,144,627,368,606,
738,782,930,038,130,830,142,937,108,310,855,465,856,344,499,430,639,951,558,
553,417,732,274,952,581,997,934,066,476,854,834,526,518,641,160,238,047,743,
429,680,932,976,258,023,819,500,840,319,235,214,775,648,668,937,090,816,848,
308,216,560,973,261,856,531,743,481,853,603,512,491,841,370,716,157,104,583,
274,255,751,042,607,962,822,827,426,012,834,662,229,056,623,663,922,569,702,
324,139,264,463,200,493,193,889,525,927,203,115,110,340,893,076,948,309,118,
883,989,124,788,645,428,764,457,432,463,028,598,992,886,766,150,055,781,518,
565,302,415,747,633,909,530,702,932,882,396,992,664,821,813,925,087,401,820,
303,761,735,424,739,476,659,965,967,102,009,382,954,028,311,294,530,535,467,
866,560,699,933,848,471,417,555,562,608,770,873,854,254,100,467,883,994,862,
384,057,596,536,599,812,588,998,370,639,571,313,210,603,624,752,052,223,117,
903,618,966,800,344,544,019,450,348,295,656,215,263,844,921,655,092,360,743,
662,692,161,530,506,421,782,370,120,981,991,025,835,878,883,478,556,960,746,
179,337,776,265,456,451,298,065,889,895,500,823,988,019,609,514,757,104,988,
584,228,645,713,636,633,770,399,296,721,869,031,721,599,223,972,422,785,970,
466,880,801,651,106,868,473,601,471,681,017,444,492,307,863,041,071,188,585,
476,206,829,096,240,625,629,120,293,611,278,264,452,093,172,311,614,590,322,
165,209,067,376,348,600,336,787,326,481,708,066,456,163,145,440,073,169,804,
657,765,454,360,320,491,450,986,149,888,166,798,459,491,153,527,807,724,839,
161,784,512,612,578,636,349,334,127,034,979,376,380,124,672,263,025,348,426,
823,853,213,167,042,802,143,096,624,564,299,527,883,853,262,965,396,245,583,
690,442,238,112,068,049,447,294,172,715,196,673,454,228,821,194,549,978,563,
156,335,728,801,259,531,127,687,911,522,815,399,007,454,429,589,111,832,871,
782,164,012,677,210,220,504,265,409,812,957,422,122,763,952,061,793,799,920,
683,291,585,626,402,011,050,114,317,861,547,585,640,607,030,441,321,888,523,
471,329,771,963,263,443,518,110,953,492,743,834,059,519,714,016,389,476,668,
431,323,685,314,031,489,264,326,687,172,911,841,446,795,601,153,662,637,734,
252,794,288,773,487,433,804,975,108,353,652,440,578,104,253,669,895,122,060,
106,238,568,205,878,720,349,566,904,298,472,561,016,900,962,850,701,362,425,
873,922,289,748,573,785,283,240,164,653,825,892,908,151,883,573,515,801,422,
242,199,989,732,464,019,515,845,609,754,523,137,698,904,180,644,320,897,175,
347,873,554,132,751,067,759,702,140,376,463,274,930,453,210,613,193,424,472,
237,642,981,683,363,998,269,849,739,061,883,094,158,738,241,262,102,630,099,
346,174,088,814,543,430,590,461,206,844,936,415,744,419,032,513,542,126,219,
793,354,280,111,304,919,347,278,681,042,904,571,608,530,551,397,650,768,003,
610,569,806,092,240,315,010,045,400,142,146,028,493,416,884,779,864,874,138,
070,342,514,261,855,895,350,204,053,641,487,891,273,156,042,378,648,630,830,
616,600,175,118,663,628,486,589,790,236,703,105,902,470,910,040,452,066,797,
762,641,297,708,916,095,547,381,208,137,533,966,190,183,926,190,220,217,057,
321,663,210,287,076,882,556,041,181,839,843,893,276,050,778,160,515,372,974,
080,585,980,588,679,626,741,730,049,649,271,117,881,148,907,314,494,474,253,
824,656,672,965,884,119,697,287,172,747,996,082,000,617,785,425,453,883,988,
190,142,026,540,722,283,430,386,786,934,864,623,993,345,105,289,751,650,684,
123,103,053,956,412,110,989,235,529,160,106,758,815,663,229,654,881,075,854,
575,613,969,869,379,630,893,007,950,229,143,376,643,298,622,056,837,647,483,
551,011,862,050,520,967,154,301,749,413,200,230,370,742,172,571,662,028,069,
115,058,394,241,539,911,250,458,939,745,046,019,806,837,772,440,313,751,107,
556,827,670,869,916,585,245,732,790,408,212,914,241,896,927,006,405,817,111,
789,906,565,770,122,238,832,568,126,837,185,984,497,236,968,840,938,936,348,
007,648,520,869,039,026,124,337,292,365,177,717,846,778,470,385,785,768,018,
921,681,160,106,145,934,952,340,783,384,163,054,395,807,726,691,731,013,303,
237,235,065,371,237,410,020,464,947,960,247,110,029,316,355,449,344,236,013,
829,252,484,408,473,337,233,775,857,553,579,180,876,748,858,628,581,318,023,
110,954,370,104,159,018,572,160,596,653,062,444,517,016,168,823,574,728,502,
584,821,439,471,271,443,822,156,247,917,753,745,867,453,137,795,515,311,723,
565,729,307,263,048,790,118,674,389,939,286,895,376,707,038,988,090,385,380,
554,208,083,451,470,681,282,291,820,150,211,571,538,384,595,171,164,867,651,
711,919,115,876,646,137,061,477,520,638,709,911,983,457,254,354,595,148,184,
678,763,256,751,902,844,082,867,319,952,937,990,258,797,038,669,337,885,936,
223,486,825,679,972,916,723,629,704,684,696,657,697,470,001,742,191,871,163,
505,877,475,703,353,578,632,946,226,372,044,207,110,940,329,305,986,018,354,
826,242,562,847,498,523,722,685,902,383,381,741,554,100,701,474,142,754,118,
786,261,001,820,882,921,705,360,099,603,232,491,363,321,929,423,300,565,630,
594,840,365,133,362,960,793,646,369,993,559,163,181,119,354,502,756,103,614,
264,381,165,925,232,575,266,882,386,288,212,049,434,420,953,428,324,824,416,
562,139,913,347,245,792,627,655,840,188,436,782,504,151,885,862,379,633,860,
612,479,484,344,653,518,546,042,957,614,187,003,105,582,574,535,159,623,655,
867,045,476,742,120,971,006,740,186,839,336,189,615,814,231,942,128,721,025,
773,081,554,113,964,667,765,401,905,092,916,656,766,188,264,086,643,602,083,
058,724,485,857,560,457,201,431,532,722,749,421,074,374,223,125,005,762,675,
781,760,016,981,217,092,327,175,483,810,120,084,840,559,291,644,181,581,348,
078,255,600,811,738,093,570,331,712,376,648,212,705,405,177,877,910,319,135,
399,880,032,215,895,521,745,343,696,149,293,196,849,429,649,460,608,985,310,
365,936,145,238,882,898,789,164,373,581,690,026,907,599,507,616,879,713,503,
186,953,047,263,385,651,922,681,632,759,567,373,812,344,125,744,646,893,946,
888,710,084,812,773,624,514,780,694,058,425,988,853,338,083,384,782,986,644,
357,179,490,402,419,451,760,399,076,238,993,856,052,410,279,016,950,889,597,
465,127,976,883,233,862,425,629,416,945,593,336,011,258,565,971,286,759,712,
902,976,544,897,640,742,652,942,428,159,399,679,947,275,311,133,597,768,546,
686,499,596,890,726,230,381,450,684,024,953,749,567,097,446,008,543,972,004,
577,448,698,693,703,608,745,628,792,702,865,144,815,667,473,729,319,873,470,
231,928,359,060,977,689,608,073,423,488,198,092,965,337,816,619,226,140,635,
548,991,857,553,293,708,672,903,024,416,289,536,298,710,060,763,814,260,159,
827,390,539,027,795,170,109,240,898,298,674,471,381,933,982,834,422,057,543,
355,066,094,145,295,114,020,581,338,721,890,172,754,994,275,158,221,639,588,
275,244,993,994,083,115,108,705,705,557,664,633,571,637,767,925,498,923,644,
163,972,769,749,902,472,629,652,545,735,595,495,247,607,244,296,240,110,868,
851,732,912,466,739,915,557,829,311,285,521,153,667,178,227,834,568,409,554,
297,618,871,029,026,606,485,033,407,736,517,658,416,501,138,848,610,105,962,
172,990,585,673,830,314,526,159,937,135,477,195,856,079,678,490,003,045,550,
377,758,488,433,561,194,931,723,158,560,327,856,508,082,305,829,165,749,804,
143,426,687,209,730,456,119,907,202,837,438,664,056,318,266,162,280,647,287,
171,126,738,939,570,718,650,042,394,613,964,467,819,654,946,607,921,367,593,
848,789,688,893,969,866,531,298,998,803,905,327,610,327,919,523,705,106,409,
249,679,306,211,855,484,154,186,314,841,140,582,035,259,775,114,966,872,582,
729,173,626,978,385,180,220,984,796,194,456,442,731,731,547,189,064,822,714,
154,437,174,435,499,500,795,610,348,606,389,966,567,638,988,131,160,101,440,
273,078,991,665,894,516,117,664,298,578,963,008,613,167,368,758,379,321,032,
761,861,362,139,960,231,272,524,966,601,847,764,361,173,044,847,141,084,932,
046,020,480,090,015,629,376,462,279,368,767,004,809,891,135,534,565,202,994,
707,536,615,169,103,832,918,199,091,873,294,302,187,200,188,974,744,334,556,
722,133,434,265,845,611,788,585,612,916,804,813,712,461,378,000,765,978,307,
108,490,879,346,406,226,219,204,339,191,790,512,527,004,047,523,225,710,692,
522,783,300,295,437,726,408,403,136,944,690,805,522,928,285,424,537,907,218,
834,983,660,980,637,168,182,119,131,334,613,305,422,691,077,294,249,625,593,
881,236,941,730,060,741,798,086,817,159,879,404,417,444,400,990,120,754,297,
697,009,368,430,931,071,184,545,513,558,085,438,076,041,277,340,739,115,621,
098,674,403,364,349,573,111,332,277,145,520,549,437,139,429,886,475,691,424,
080,104,010,808,313,764,334,808,700,394,094,147,005,385,939,733,993,336,803,
465,365,101,653,722,516,643,041,845,002,873,919,358,620,890,226,518,762,621,
392,071,333,412,115,070,830,396,194,488,291,134,062,368,824,118,412,531,556,
058,979,449,232,733,651,949,729,902,027,599,925,487,338,671,480,349,690,889,
817,134,594,206,492,664,397,889,620,270,186,909,861,173,895,589,289,239,198,
101,555,691,715,891,490,226,254,798,254,939,956,644,762,901,581,966,398,284,
824,930,712,106,385,892,761,140,176,650,595,112,987,876,088,038,993,654,995,
453,123,135,151,126,885,756,150,129,030,874,688,827,741,247,476,634,230,182,
903,800,958,940,488,051,507,725,412,911,683,799,172,306,687,568,790,549,062,
922,058,734,486,034,532,578,625,182,231,644,369,162,234,288,127,500,741,532,
958,781,333,475,295,104,208,320,395,013,538,182,366,082,282,998,253,625,995,
657,316,515,707,358,275,094,418,612,046,179,640,571,178,468,022,017,386,004,
571,003,500,876,345,452,347,625,786,165,740,691,425,569,059,709,141,258,324,
495,288,711,038,973,806,658,808,981,537,363,749,497,298,671,159,333,553,584,
550,802,202,317,553,940,372,105,634,990,126,453,657,867,154,597,877,286,429,
594,471,190,567,813,874,316,984,277,814,904,712,523,925,811,527,857,595,591,
884,695,149,010,162,061,592,831,014,936,356,525,510,645,594,592,776,332,436,
201,227,531,394,586,827,781,495,721,828,813,132,603,935,024,167,364,538,969,
617,390,519,756,808,760,938,202,503,495,022,622,793,499,759,697,453,402,388,
357,451,935,717,918,810,652,593,403,727,889,072,106,259,585,058,272,691,951,
412,267,962,049,916,286,508,236,441,264,116,626,986,665,494,598,847,451,785,
040,160,264,368,825,331,213,534,305,900,028,510,735,719,442,469,327,410,962,
008,291,608,592,330,571,577,305,374,621,440,402,330,589,045,565,312,253,440,
536,401,587,101,373,444,928,818,530,570,296,386,062,953,020,296,593,657,205,
515,269,172,231,505,742,082,881,487,681,115,051,625,440,026,406,005,249,325,
633,113,642,750,737,919,545,755,293,164,142,651,696,485,189,325,073,468,141,
602,369,416,247,286,657,143,522,785,511,717,749,793,705,995,174,929,170,860,
564,069,997,614,783,700,700,942,787,889,407,518,680,593,557,186,770,878,737,
852,539,464,967,420,274,202,467,751,754,439,240,068,182,116,204,397,832,226,
900,566,936,438,849,277,898,365,196,816,165,913,688,630,257,493,105,519,577,
778,097,387,076,014,703,233,409,382,820,285,570,826,674,364,690,527,250,681,
905,605,232,740,227,932,083,276,059,618,263,369,234,357,589,302,477,616,813,
574,076,731,012,724,398,665,635,230,392,358,781,543,170,015,525,679,875,966,
884,642,897,103,670,873,433,450,489,995,335,697,043,897,631,623,539,153,825,
424,164,369,856,103,326,513,488,143,777,829,002,417,092,732,737,784,634,571,
749,203,610,601,041,433,076,464,560,962,735,320,487,747,779,768,425,732,967,
939,478,573,151,472,161,054,364,876,851,664,582,985,924,547,740,835,557,888,
468,492,994,919,073,071,302,725,876,001,554,833,313,208,349,505,659,144,024,
745,438,957,171,580,969,777,689,915,698,699,098,188,564,261,076,492,867,302,
959,622,782,163,158,921,482,164,565,661,082,482,352,485,819,584,110,995,773,
780,233,185,885,826,847,355,404,668,615,693,281,944,576,424,724,452,202,465,
355,605,323,117,486,721,178,315,275,676,773,388,661,693,180,751,795,506,916,
567,281,222,024,821,699,105,553,085,548,111,822,875,234,343,431,511,310,525,
954,211,318,047,705,772,921,607,932,457,867,133,048,247,470,443,755,100,555,
672,209,387,106,495,215,001,957,999,327,299,150,228,331,068,590,908,031,160,
333,894,830,732,192,131,076,339,438,007,247,626,616,447,195,410,699,282,589,
791,434,346,293,335,828,475,791,850,468,901,133,760,499,659,813,899,671,999,
391,078,562,699,087,836,427,690,470,387,038,457,212,196,896,978,125,430,951,
774,129,646,912,900,145,763,912,518,699,011,538,751,867,024,747,783,317,168,
758,999,245,861,076,839,178,182,396,054,194,329,825,370,250,033,286,121,850,
226,876,611,438,319,747,714,033,577,853,863,651,611,886,186,529,119,660,602,
949,359,640,740,683,690,723,873,318,557,227,852,742,121,986,968,912,071,516,
587,982,655,303,207,583,525,784,052,164,060,299,276,110,432,473,692,298,878,
964,750,099,601,277,956,071,195,200,739,039,784,880,225,512,326,139,862,503,
084,756,537,014,901,672,440,669,054,402,312,934,645,873,682,631,956,875,509,
648,275,989,712,434,516,181,204,995,855,582,358,148,623,767,268,882,764,742,
966,607,457,955,778,012,732,374,294,238,553,049,638,800,147,514,238,889,661,
354,297,239,027,284,445,007,708,777,464,990,576,946,069,554,247,184,160,004,
429,722,842,955,772,732,242,165,157,682,296,389,498,723,228,519,793,761,828,
730,886,045,536,707,873,754,198,308,036,049,761,002,420,602,280,490,932,563,
588,236,556,871,002,365,724,576,077,264,586,262,838,366,341,050,020,817,338,
941,385,496,470,247,871,767,865,406,352,677,269,492,960,702,249,471,182,840,
169,351,581,000,855,153,122,732,403,998,870,496,431,164,203,732,410,947,547,
270,502,478,386,585,517,083,781,058,883,234,661,572,310,685,571,515,429,975,
931,900,742,928,449,832,023,434,448,781,938,833,278,191,149,229,380,388,731,
025,297,588,208,026,199,436,292,705,108,002,618,477,839,623,714,477,876,903,
427,824,368,826,034,284,554,374,474,270,201,706,716,013,091,964,521,264,880,
480,022,430,537,095,537,223,916,519,971,765,264,410,524,551,420,668,821,757,
261,645,236,351,448,759,686,055,153,819,773,250,904,818,696,137,184,867,273,
164,274,055,244,306,196,738,085,012,008,287,349,349,060,990,363,006,332,735,
501,121,835,348,709,862,916,527,291,154,154,338,839,980,088,381,402,032,345,
825,606,477,536,215,534,707,889,428,033,142,073,690,980,456,413,395,930,501,
339,730,774,861,788,102,134,504,465,737,152,199,727,982,590,265,368,361,070,
660,932,478,493,969,817,053,659,118,087,949,243,582,757,084,618,698,042,289,
658,083,565,056,938,866,758,523,759,624,979,724,540,196,506,416,891,247,115,
247,607,042,680,064,636,919,957,042,804,531,832,848,188,700,238,183,043,980,
528,145,195,090,565,305,906,482,413,865,682,442,697,314,180,933,468,371,089,
985,896,020,135,555,446,836,962,215,442,016,897,984,218,615,505,258,816,873,
852,352,583,293,533,373,661,541,134,076,112,052,060,010,217,450,609,300,502,
766,617,045,560,794,437,840,666,685,973,800,082,643,768,535,035,992,176,385,
076,881,909,000,457,039,537,137,340,143,959,317,783,703,711,978,309,687,167,
607,930,963,627,920,164,401,990,511,983,581,145,997,826,665,700,039,486,068,
390,478,412,880,580,342,678,444,817,146,016,202,065,708,612,380,261,580,224,
773,966,632,426,372,421,557,870,197,253,744,551,045,483,705,186,202,919,954,
817,237,122,975,666,636,631,516,374,721,908,996,561,846,031,224,140,361,906,
608,996,134,722,696,915,020,832,815,566,698,952,452,380,077,260,754,321,390,
213,356,587,374,094,451,593,547,919,563,495,805,482,309,857,174,374,808,062,
137,101,612,923,551,164,029,551,120,319,832,517,998,024,512,322,781,192,304,
488,325,159,093,648,445,098,483,254,880,149,404,651,369,840,201,632,080,749,
654,207,835,391,824,756,567,293,460,486,340,003,408,164,330,510,750,479,799,
569,736,091,567,733,246,524,648,910,524,997,413,978,782,520,029,532,061,435,
627,343,585,809,373,702,725,407,033,664,950,128,425,764,560,679,019,237,421,
980,078,898,890,896,410,419,562,892,254,647,134,871,960,610,829,795,950,222,
890,831,352,562,192,814,034,490,217,435,557,010,866,401,085,276,698,289,553,
343,479,077,166,904,731,257,103,384,513,047,323,403,842,264,507,153,277,282,
200,774,468,141,816,982,510,082,577,275,759,392,838,060,671,914,155,014,856,
915,336,269,304,363,154,586,669,120,293,965,883,287,520,079,375,510,894,409,
657,362,247,401,501,225,562,079,592,496,439,368,386,676,058,047,971,390,083,
918,820,885,740,634,331,162,287,618,096,588,249,343,616,446,294,888,592,338,
624,122,679,584,720,310,030,412,075,540,463,044,829,001,395,808,139,326,036,
321,069,620,472,020,454,713,148,296,184,008,903,914,714,623,646,434,906,339,
091,139,996,933,964,143,948,769,837,614,792,866,307,285,584,006,232,576,984,
201,709,801,930,428,105,145,128,553,257,331,753,061,779,047,284,229,145,296,
896,545,095,017,860,547,021,690,214,471,771,462,419,714,574,805,522,148,790,
939,801,157,431,942,650,831,929,352,508,394,760,646,275,262,752,550,970,077,
970,239,739,057,217,566,526,054,815,334,310,671,534,495,248,843,330,921,606,
456,407,339,297,835,001,057,795,380,451,179,427,418,179,637,763,194,674,050,
703,229,356,330,458,864,644,764,662,602,584,401,656,473,307,085,189,002,904,
087,501,358,675,123,238,213,057,407,930,367,226,353,004,132,753,053,908,424,
585,992,351,872,231,415,675,290,866,827,482,847,097,232,572,278,172,240,168,
299,757,399,663,461,838,322,813,577,489,061,815,696,061,496,724,338,752,960,
236,476,427,938,983,970,678,898,087,496,423,429,194,883,789,194,661,272,676,
108,087,840,627,290,807,895,817,096,240,185,106,757,978,609,851,566,650,095,
311,341,626,885,641,773,862,217,429,374,532,983,145,695,583,145,003,757,441,
263,097,121,347,481,763,231,412,409,679,868,762,803,332,624,640,994,585,320,
668,250,997,307,486,065,997,566,352,620,171,123,777,690,456,716,120,047,812,
684,223,164,369,534,276,587,795,837,013,825,230,243,885,180,274,923,696,228,
274,379,563,860,410,958,485,607,762,274,879,237,724,811,626,559,211,813,672,
407,663,539,110,370,428,508,053,786,590,668,801,408,709,795,614,759,179,519,
355,268,539,790,041,193,824,085,542,396,976,293,012,479,658,012,654,174,839,
539,059,518,056,995,819,202,472,008,248,471,249,066,345,617,488,662,803,646,
144,628,941,006,973,760,732,113,191,920,943,509,444,830,760,646,363,190,975,
166,065,157,300,641,783,912,963,363,030,264,103,753,896,177,699,745,444,660,
665,434,813,184,602,431,984,060,359,839,601,039,745,695,281,901,566,508,181,
009,087,777,857,646,815,493,160,377,065,111,593,012,553,374,920,052,849,352,
147,577,640,556,278,156,989,473,441,492,125,699,422,733,636,520,017,127,071,
571,073,471,223,700,913,834,840,573,796,917,157,895,824,969,312,471,914,021,
768,464,458,902,995,428,005,029,907,763,222,925,986,260,414,072,601,705,487,
893,411,880,758,345,319,841,666,321,026,252,186,853,069,058,861,536,990,675,
551,052,404,742,540,060,820,718,876,974,289,893,828,328,164,291,050,320,077,
199,992,496,990,898,898,126,019,069,821,647,040,655,136,706,108,182,834,675,
029,869,847,331,463,314,150,132,829,656,327,489,674,155,702,672,746,537,182,
096,487,113,175,904,336,939,066,685,914,713,279,791,907,537,752,184,309,168,
050,507,383,702,293,244,736,996,164,869,530,146,964,328,029,358,571,437,111,
890,572,152,672,324,101,607,374,631,725,897,265,452,964,754,092,727,913,778,
821,515,130,682,501,242,096,766,685,145,526,414,899,837,826,958,704,823,663,
551,922,811,511,254,958,666,587,910,957,411,362,046,688,556,516,060,543,493,
466,238,366,310,513,526,227,495,079,700,596,616,787,487,768,197,651,466,605,
177,707,244,148,464,677,706,597,894,547,808,722,695,487,886,636,287,175,008,
918,914,537,908,800,582,039,020,911,441,385,002,500,050,963,275,201,979,340,
496,176,120,702,049,164,105,992,579,105,559,085,946,338,770,422,030,589,397,
941,510,197,063,724,391,010,770,936,658,791,874,106,802,763,430,313,562,802,
763,652,130,645,626,227,950,545,078,818,357,159,298,006,747,250,977,450,502,
290,517,852,100,721,723,126,622,058,189,880,501,016,068,736,609,970,961,593,
961,021,896,888,674,555,423,336,450,055,901,836,258,638,231,358,428,411,421,
569,612,432,022,904,010,407,717,609,451,590,982,871,128,526,422,657,577,802,
412,239,171,410,319,296,846,103,235,014,785,602,976,616,560,182,886,858,790,
485,956,645,570,430,193,640,814,548,559,261,486,776,324,218,898,072,735,083,
924,491,568,147,979,082,375,364,689,833,595,630,570,323,983,796,704,400,812,
990,289,373,319,746,697,880,449,650,900,130,033,611,273,046,537,911,587,377,
951,526,841,621,533,366,368,362,017,292,645,654,552,701,709,463,505,397,964,
501,863,410,720,671,784,437,646,487,063,969,181,389,884,054,435,034,402,563,
819,435,292,234,017,247,749,356,141,457,175,335,348,753,420,693,266,352,095,
739,979,026,762,929,462,736,276,711,749,540,131,708,285,424,803,288,086,477,
800,505,744,750,018,614,972,630,814,570,771,299,472,627,077,794,316,936,057,
168,370,430,057,142,830,129,225,838,331,153,648,173,814,053,656,916,069,063,
546,019,975,791,231,919,776,254,906,753,875,825,344,298,244,414,244,458,532,
111,324,801,371,091,643,559,123,720,310,920,873,450,893,952,573,191,264,621,
649,560,431,411,176,798,847,808,443,174,666,802,902,424,724,609,324,423,911,
314,394,831,541,038,271,901,764,278,197,966,224,414,150,990,480,036,037,573,
142,734,320,490,937,543,103,166,361,305,158,324,824,976,084,681,017,683,410,
956,616,007,390,642,340,834,501,465,491,488,697,985,438,263,585,651,052,860,
682,704,099,194,317,008,921,953,622,014,991,215,237,532,623,183,659,100,104,
752,502,293,297,811,186,673,106,604,313,105,875,079,302,629,634,917,021,965,
690,968,148,035,070,271,720,934,999,593,174,687,503,115,608,615,784,551,960,
380,937,586,703,296,943,281,229,755,439,678,123,187,926,908,314,807,853,196,
304,954,171,054,468,309,308,884,103,526,623,945,498,525,145,422,693,008,541,
141,979,152,951,606,372,109,310,140,966,868,152,630,755,122,033,858,324,989,
516,034,677,124,864,729,048,111,955,394,931,337,472,719,102,118,979,467,343,
021,616,832,018,240,582,391,211,925,078,599,610,922,278,923,594,788,553,673,
981,042,965,982,196,725,253,319,943,777,796,646,969,438,203,861,520,422,084,
760,106,123,496,146,493,585,554,350,827,772,688,924,105,289,938,952,542,178,
109,808,307,238,104,084,161,466,755,213,938,777,371,457,598,442,698,987,148,
403,140,324,085,849,520,958,403,541,345,265,168,480,254,753,526,944,535,643,
637,574,862,813,901,451,068,580,877,165,868,109,848,466,592,873,794,904,440,
271,356,309,012,192,213,478,964,716,665,099,287,440,097,690,061,157,932,287,
024,435,094,756,879,677,913,045,484,032,002,048,366,145,050,875,327,226,545,
101,908,986,789,936,378,863,727,072,507,807,086,772,014,872,560,877,440,086,
673,440,197,790,114,917,540,133,529,443,764,587,220,140,052,296,973,857,144,
987,684,955,649,499,227,776,502,270,027,892,795,723,893,028,997,321,046,826,
940,800,802,645,575,197,482,810,798,795,088,244,826,216,376,623,928,385,183,
089,431,406,476,461,381,232,548,101,672,275,637,450,294,058,156,639,914,706,
068,413,027,203,760,909,250,535,401,164,823,791,105,244,624,656,296,217,029,
832,990,439,943,839,309,386,015,460,732,073,837,856,820,886,092,881,323,367,
164,320,713,878,995,507,047,851,182,410,924,235,111,389,128,781,623,990,579,
494,302,538,863,465,277,015,639,549,226,068,539,722,025,687,365,875,951,403,
416,141,300,922,867,435,385,178,085,698,986,212,904,974,968,499,189,379,686,
700,870,151,909,799,931,398,360,901,636,281,513,788,728,968,388,391,623,895,
099,074,010,894,518,407,333,023,533,306,797,210,347,908,740,457,201,931,899,
391,909,444,315,709,847,693,074,877,853,593,398,457,345,034,754,180,815,600,
689,082,539,366,524,013,301,548,026,894,016,145,488,375,633,244,853,764,787,
141,812,277,538,691,851,035,734,325,858,931,799,644,875,751,773,388,385,894,
860,443,103,211,400,000,492,387,732,809,108,793,230,717,855,191,243,063,677,
347,464,566,117,418,797,890,909,771,491,482,776,176,604,709,685,010,699,789,
249,512,688,748,718,491,440,171,288,892,759,046,280,213,792,015,177,134,737,
538,121,846,629,625,344,343,314,927,337,972,156,157,272,456,641,428,799,366,
195,459,401,147,578,943,448,720,948,755,479,957,723,469,149,482,744,205,357,
063,819,219,271,235,184,392,714,252,566,735,133,980,746,201,875,904,279,304,
419,965,919,884,904,982,524,339,415,832,597,391,871,905,521,148,995,285,095,
663,687,015,071,956,381,833,290,368,698,896,193,478,821,000,172,878,466,969,
006,123,578,365,470,928,944,400,066,509,056,228,004,241,662,492,918,280,057,
895,700,082,448,841,945,843,880,971,920,773,001,938,793,729,388,306,012,891,
622,992,418,596,405,860,017,922,375,487,120,863,016,986,440,713,484,297,390,
667,809,962,659,343,852,060,633,397,020,543,464,401,266,895,990,114,870,828,
307,522,586,944,164,183,019,061,785,515,815,727,934,905,947,239,798,606,817,
129,166,231,335,888,923,492,031,878,715,026,410,886,541,653,810,353,277,969,
483,887,649,970,653,961,314,191,417,395,002,782,469,346,237,039,197,525,580,
823,179,273,351,823,941,840,769,373,542,879,351,510,193,724,448,556,314,997,
123,818,508,009,303,513,833,636,882,962,447,897,392,248,605,791,623,185,017,
505,479,495,765,129,211,990,643,832,445,398,238,571,984,955,467,864,446,284,
416,069,558,613,493,164,897,177,072,681,246,916,347,040,185,934,945,135,436,
738,923,808,768,870,691,192,323,190,819,708,250,405,006,084,843,734,985,807,
143,147,050,424,789,597,867,032,478,729,466,863,877,392,348,985,262,785,532,
516,065,404,421,709,299,165,350,390,142,880,459,297,244,207,966,337,252,934,
139,168,790,441,487,808,869,533,762,754,997,090,234,012,385,335,698,580,484,
682,903,022,821,760,793,767,453,328,331,237,209,036,164,562,188,118,719,307,
397,746,871,155,462,820,462,052,901,613,316,355,464,049,036,882,470,866,902,
331,787,019,369,297,287,954,954,706,285,926,786,299,189,372,240,161,356,304,
274,051,537,683,206,810,341,312,296,044,542,945,016,274,989,819,212,334,635,
603,719,970,006,051,451,558,156,236,611,237,294,270,479,865,126,831,311,366,
327,016,334,372,322,685,740,600,557,228,561,776,157,323,590,927,314,741,684,
233,496,089,980,727,959,353,047,821,842,658,318,006,402,639,585,938,951,034,
852,715,946,422,144,942,670,242,932,307,317,457,606,358,934,710,235,388,580,
281,808,712,627,411,450,214,910,626,356,538,869,150,470,706,274,504,826,920,
553,815,906,814,349,267,908,598,367,537,751,260,874,321,586,224,201,004,919,
663,995,415,735,906,801,999,184,288,014,246,802,246,082,002,668,057,717,745,
033,903,749,584,501,252,406,048,002,695,928,570,159,017,413,240,529,942,884,
209,850,653,060,178,148,420,537,501,256,903,771,603,784,163,474,887,808,107,
353,615,291,855,440,366,799,698,532,761,507,576,011,919,782,764,987,166,065,
482,813,967,350,940,221,841,101,375,152,022,100,636,538,828,706,584,482,327,
502,461,152,616,724,678,085,768,133,254,635,952,423,773,750,819,265,796,411,
403,524,058,240,153,534,910,357,234,092,196,343,800,147,460,270,238,802,065,
414,595,571,251,597,502,592,062,522,061,619,562,633,497,346,910,275,623,798,
391,554,001,618,497,625,559,954,213,278,884,582,294,779,271,788,925,030,080,
078,748,235,451,166,970,150,429,078,303,010,426,053,739,247,236,306,696,966,
138,213,547,326,459,796,178,289,000,258,566,512,121,607,380,436,511,888,962,
105,732,327,502,832,834,967,612,515,102,149,600,665,472,440,058,429,421,797,
681,790,621,793,708,296,964,365,503,436,310,137,147,841,754,187,742,512,298,
663,123,888,031,725,909,005,518,956,912,006,359,818,020,452,987,218,724,387,
275,202,648,042,984,608,519,586,858,055,884,104,805,677,375,467,915,466,294,
773,814,056,297,168,820,962,699,309,669,239,957,032,359,392,431,218,599,383,
140,949,735,890,258,864,399,299,709,463,336,941,057,347,449,843,607,771,832,
240,900,426,243,826,906,512,455,152,815,443,607,804,419,518,658,296,141,395,
332,994,504,785,836,067,628,850,598,735,732,363,853,594,361,685,571,215,509,
896,786,681,056,592,232,660,366,538,181,676,890,639,189,574,712,613,810,294,
494,871,033,191,458,156,397,557,612,066,773,779,610,117,721,561,654,601,465,
217,443,496,390,444,141,199,006,314,950,352,382,717,855,339,088,851,549,434,
108,471,771,962,792,049,506,567,593,184,525,875,081,607,543,245,203,261,890,
918,234,121,673,221,230,029,053,658,022,227,103,594,016,452,938,393,925,135,
453,300,579,954,220,563,691,833,163,131,848,589,189,196,572,711,017,088,309,
597,144,264,790,931,339,443,972,608,352,076,759,055,182,442,928,652,825,985,
697,623,913,860,011,786,870,090,039,247,013,379,598,561,353,851,944,886,486,
105,395,866,518,360,880,413,601,868,396,441,398,344,802,798,434,563,245,287,
688,043,773,907,896,601,597,220,409,347,113,815,723,008,759,851,851,685,279,
686,452,695,684,829,597,241,573,266,695,437,085,756,262,423,049,264,569,618,
074,786,616,908,510,393,195,785,528,548,850,040,578,070,016,972,936,466,619,
669,211,627,440,780,274,238,790,154,451,497,219,864,665,495,263,132,497,653,
599,302,402,671,557,000,182,990,790,510,487,600,816,785,838,296,829,515,649,
516,395,556,009,122,997,336,419,214,824,661,441,940,602,782,156,721,870,058,
214,397,610,805,245,960,090,838,318,975,744,198,358,853,049,105,990,845,693,
705,005,661,626,591,808,048,427,458,144,340,454,117,460,863,544,766,538,952,
248,475,950,574,418,097,595,230,569,905,758,612,661,412,777,206,629,656,090,
779,973,486,076,808,996,782,735,770,196,392,214,202,331,881,245,997,595,936,
741,142,495,781,021,757,889,701,613,226,458,110,565,517,713,891,776,555,455,
708,670,167,494,908,405,137,640,019,768,313,923,824,856,919,343,203,482,800,
927,272,578,381,840,913,134,769,046,920,614,986,256,327,417,937,274,976,987,
139,834,178,432,428,477,479,352,314,725,262,876,287,063,942,334,257,411,236,
871,061,351,317,340,340,710,206,535,979,203,254,609,897,569,121,930,902,732,
089,415,111,024,208,191,946,501,250,053,094,838,866,105,127,186,166,000,623,
294,523,225,700,640,104,586,485,930,926,465,291,463,479,491,261,090,594,721,
743,050,736,880,354,341,536,885,233,121,982,362,508,329,738,889,298,384,549,
693,118,957,373,625,915,986,895,750,964,753,195,943,984,672,122,479,209,347,
135,167,226,491,915,955,168,929,153,508,899,194,980,746,757,404,126,309,230,
183,022,843,050,403,725,563,787,839,648,645,133,087,627,418,762,290,644,745,
497,239,885,167,084,352,246,235,348,034,799,877,144,694,912,225,233,126,773,
108,395,014,120,445,341,002,089,382,824,010,317,110,711,117,953,920,073,665,
524,077,144,104,607,066,713,989,432,522,911,875,402,252,859,979,239,339,436,
725,013,673,760,237,312,031,328,761,442,741,427,254,207,078,496,289,898,577,
469,079,309,569,906,616,213,425,029,161,615,198,217,620,136,388,917,674,844,
641,533,775,530,813,604,005,444,667,555,012,742,916,401,184,807,938,327,228,
813,407,841,801,849,298,564,070,827,418,049,436,384,280,183,087,977,542,054,
929,997,200,532,127,150,600,990,968,093,642,932,241,174,145,577,534,388,998,
344,083,673,301,641,952,462,821,768,169,900,882,222,603,784,206,118,317,671,
003,374,361,832,881,328,187,395,513,695,923,824,753,600,121,158,536,607,024,
573,670,387,752,382,093,694,736,313,865,820,056,252,453,771,906,725,886,408,
771,648,844,809,581,815,157,937,175,130,927,515,840,851,667,490,038,651,761,
215,268,229,126,277,145,086,067,070,989,059,029,232,167,769,884,567,510,448,
664,919,760,648,070,418,652,416,005,502,523,923,342,803,712,032,460,708,647,
474,874,059,306,107,907,787,107,897,862,804,251,717,860,825,762,378,244,878,
752,308,396,490,718,625,977,125,009,536,936,898,163,920,015,504,303,986,147,
098,038,504,963,190,448,017,671,081,300,039,808,297,354,099,837,527,244,330,
365,523,475,704,286,095,735,502,029,647,481,367,652,851,120,587,111,431,566,
647,639,220,140,165,367,129,942,608,137,098,856,024,036,238,489,690,388,643,
046,221,478,702,376,303,120,015,470,865,042,291,718,708,239,559,178,170,463,
098,877,493,851,061,836,465,201,838,240,890,779,527,005,425,550,543,999,526,
151,933,512,991,309,144,334,617,108,370,305,149,247,731,121,519,879,513,814,
941,679,635,864,792,208,981,476,893,332,360,679,079,603,694,584,608,238,591,
682,579,907,734,460,688,517,224,217,439,267,279,780,046,136,442,859,644,171,
972,815,916,090,807,241,675,370,868,618,772,954,252,666,133,551,727,167,950,
356,252,913,164,871,629,097,884,034,592,900,895,942,912,228,085,470,542,795,
594,042,851,067,701,583,088,423,447,255,952,196,854,646,137,720,535,829,872,
599,321,576,946,401,893,343,855,004,534,695,946,556,407,381,685,876,235,904,
201,904,095,008,325,362,494,693,795,203,584,855,940,818,718,439,865,705,868,
126,879,035,047,649,463,128,671,162,926,573,113,834,469,043,058,839,815,285,
387,693,203,862,212,473,643,588,453,062,028,334,729,007,933,408,641,779,138,
400,038,913,204,087,553,829,903,337,315,690,714,838,090,739,359,907,174,747,
283,739,933,122,559,287,958,052,046,311,815,392,484,484,517,541,016,592,532,
705,197,317,682,058,413,915,122,476,831,859,984,216,918,008,762,979,950,920,
907,198,896,849,505,269,343,315,597,613,904,256,551,800,023,796,671,251,350,
590,065,131,644,097,006,586,884,494,481,022,709,421,348,654,059,916,627,727,
478,052,201,127,932,179,621,333,689,297,882,180,728,495,075,697,966,003,655,
340,826,456,527,860,332,687,567,289,818,493,721,566,428,309,372,139,128,636,
121,529,377,193,928,211,999,433,028,812,296,784,885,234,989,281,573,516,306,
798,155,246,844,736,565,323,196,531,581,620,826,287,367,739,700,911,965,924,
746,451,231,827,346,839,922,548,378,909,971,916,960,518,661,410,635,143,140,
808,287,985,121,658,175,397,498,729,673,917,952,477,249,595,380,363,120,148,
079,631,161,057,072,697,180,262,844,831,294,988,034,406,426,068,543,945,984,
971,126,708,427,051,274,348,900,974,160,470,256,199,244,094,576,549,311,645,
741,577,275,815,676,599,736,186,739,829,487,602,932,967,088,541,004,229,250,
037,226,331,954,173,629,959,397,196,733,171,130,371,871,889,827,120,632,500,
184,975,626,329,229,431,734,490,808,030,203,598,678,027,022,382,387,157,131,
103,395,987,404,940,286,792,850,503,401,812,334,751,885,388,981,807,698,977,
899,275,515,771,405,454,345,032,287,008,683,080,549,721,073,120,775,570,241,
338,261,626,748,711,006,639,841,368,253,178,693,131,848,985,613,874,549,537,
043,961,990,465,994,310,508,544,647,903,494,702,651,987,784,839,994,950,266,
736,779,122,027,798,734,094,408,878,201,740,679,775,334,612,687,289,172,819,
418,044,991,807,722,393,793,782,960,341,965,912,918,892,780,817,271,677,883,
135,864,034,804,344,174,486,267,508,618,080,938,313,104,635,479,695,518,874,
503,223,783,399,775,686,168,373,826,911,925,673,409,165,654,066,700,995,753,
248,052,439,867,762,936,457,771,647,176,933,194,080,872,231,797,379,478,854,
203,788,261,116,169,853,710,662,089,673,080,594,511,616,367,162,846,964,786,
044,882,041,328,259,958,117,976,812,811,805,996,434,717,673,950,212,487,519,
288,956,966,471,052,592,816,943,790,621,439,008,530,916,050,559,462,202,262,
070,007,204,834,695,857,370,390,748,186,244,631,508,005,526,609,608,160,337,
712,565,137,896,608,843,383,539,260,286,737,364,598,453,006,759,184,408,110,
223,973,932,476,528,801,635,917,380,039,441,086,231,151,373,543,544,919,931,
573,160,713,929,994,355,224,635,625,077,548,937,810,815,265,516,764,723,335,
342,294,612,961,817,151,055,343,038,603,539,158,516,436,142,781,966,349,757,
528,853,345,986,662,527,779,521,386,534,957,879,217,139,285,482,279,317,862,
316,978,974,664,890,736,820,811,352,233,679,266,114,793,536,947,860,101,830,
961,318,146,775,894,071,722,110,224,280,788,934,220,923,537,232,211,993,806,
517,224,064,723,612,210,288,962,036,973,488,634,204,993,317,215,752,798,207,
465,528,082,338,796,928,736,588,258,910,488,134,599,273,417,022,559,070,671,
041,716,981,944,093,269,519,391,058,443,465,563,304,136,072,634,042,538,766,
858,102,829,816,413,652,596,808,061,834,071,375,453,129,242,516,458,181,493,
230,893,526,534,401,428,828,359,276,816,494,902,680,769,166,033,247,601,245,
502,259,011,562,318,963,386,588,517,434,410,246,639,032,729,817,268,412,185,
906,512,480,122,921,059,869,948,571,084,567,624,142,019,785,313,698,867,912,
992,196,509,395,367,276,614,905,200,033,757,322,241,343,980,902,133,546,082,
639,485,555,273,353,404,525,962,553,760,268,369,846,321,062,363,292,750,191,
454,806,477,162,553,716,080,023,451,887,886,577,102,614,720,817,052,344,496,
908,103,595,113,382,748,458,245,804,640,060,073,926,307,965,816,759,817,899,
188,457,976,936,539,827,422,298,524,164,151,951,115,544,840,322,634,380,969,
416,718,927,466,223,634,131,106,941,607,476,747,821,650,644,605,814,583,851,
023,309,976,034,648,031,096,890,462,341,434,999,583,624,723,651,567,459,026,
107,581,152,999,113,391,786,184,357,306,859,207,898,932,615,385,952,879,980,
456,885,309,798,967,202,317,228,480,554,290,346,468,136,472,181,159,799,163,
556,523,152,967,893,837,464,492,940,207,727,309,470,656,332,933,680,962,723,
845,637,071,582,250,276,513,042,423,962,794,930,364,438,453,253,885,457,185,
695,571,632,257,554,880,303,943,912,532,774,642,508,250,908,976,856,856,239,
502,062,127,248,573,110,165,381,391,031,655,620,043,464,877,085,688,167,640,
208,679,481,498,112,385,458,285,054,633,211,620,523,750,982,319,255,394,295,
494,831,325,383,927,362,935,174,880,310,833,842,805,654,204,297,851,498,564,
428,359,010,644,887,737,324,419,440,543,589,548,850,691,176,544,852,981,255,
768,369,331,499,980,291,701,850,067,382,515,785,678,904,260,353,013,449,659,
125,806,001,772,230,749,808,838,271,140,719,321,944,970,873,164,970,594,877,
396,855,030,770,614,052,652,562,799,168,490,596,287,602,400,416,396,239,009,
327,192,894,413,220,207,603,986,874,152,110,778,215,153,667,762,914,373,177,
101,176,798,477,028,520,796,872,327,762,558,785,466,212,344,287,347,881,801,
141,358,095,246,096,383,558,210,550,730,842,347,508,442,487,486,496,533,208,
487,401,078,499,960,968,559,778,269,986,413,751,928,007,609,517,088,920,215,
317,411,816,014,468,808,295,543,056,856,895,385,488,640,913,057,958,829,530,
405,108,894,573,672,341,149,087,628,133,043,372,547,023,390,586,763,227,562,
089,720,181,236,299,767,155,067,733,120,427,308,854,697,785,391,811,028,962,
286,021,203,017,855,405,686,628,770,402,529,638,697,324,683,278,958,944,588,
520,391,332,973,640,694,533,152,716,496,597,361,207,268,233,156,087,462,998,
499,594,211,376,593,888,394,642,981,207,727,087,157,494,935,713,639,318,684,
692,082,932,928,690,393,901,777,561,782,193,496,635,111,422,222,580,043,021,
288,132,709,212,968,361,906,981,340,311,677,227,612,821,318,470,412,848,869,
170,486,323,561,892,720,851,581,254,286,820,368,116,441,550,294,632,504,556,
867,582,265,544,565,499,650,239,880,686,415,665,954,581,648,396,648,263,216,
500,466,298,763,418,774,174,188,425,655,324,199,835,550,193,095,367,138,867,
953,973,407,681,092,213,795,583,799,399,756,448,592,522,582,880,797,964,405,
195,646,061,563,072,463,370,546,390,758,382,480,669,821,601,878,584,999,102,
696,669,082,335,748,722,934,603,911,149,519,548,625,701,276,809,430,170,316,
216,021,814,609,556,725,415,996,864,113,437,288,523,504,604,210,104,712,291,
177,148,611,920,347,762,766,427,537,229,355,223,990,466,306,481,291,475,581,
814,283,031,995,143,346,236,321,835,169,740,422,589,972,116,812,213,607,188,
494,411,427,520,778,332,310,674,556,079,762,494,510,609,672,080,653,243,807,
906,254,748,621,411,773,208,381,214,432,553,223,970,434,824,783,552,209,213,
644,990,777,929,389,634,335,980,612,842,172,022,229,059,934,881,670,867,766,
502,937,011,947,221,759,533,604,537,442,729,506,933,476,433,446,754,934,969,
076,854,976,550,969,472,368,084,678,812,889,658,558,786,925,316,171,216,959,
296,570,454,888,114,326,867,305,096,619,278,698,013,021,341,973,113,402,669,
652,395,188,049,704,719,591,029,373,960,254,606,319,085,825,231,126,449,109,
607,849,410,582,990,910,307,442,387,278,041,697,897,295,909,693,341,753,953,
785,795,393,688,123,987,386,804,785,767,143,806,325,467,518,855,409,614,856,
754,656,674,985,829,502,450,365,092,979,500,025,103,387,492,195,587,478,743,
700,763,159,848,228,943,233,877,436,426,541,516,621,913,474,024,366,240,668,
873,266,040,376,372,831,990,564,170,500,105,292,699,191,863,026,248,430,131,
319,537,325,528,551,193,817,445,395,216,958,955,243,107,262,922,603,938,725,
155,083,528,234,593,067,645,269,702,428,524,749,787,137,403,191,011,508,512,
671,888,377,723,148,800,422,091,809,963,610,475,188,078,164,019,615,426,723,
981,096,333,241,890,830,457,104,261,665,169,521,469,314,829,545,477,703,276,
480,036,048,026,634,381,163,886,447,362,948,505,329,102,022,640,154,406,505,
040,158,043,473,305,380,740,929,313,528,603,088,177,631,419,943,671,710,651,
386,342,422,872,759,627,768,429,079,027,560,699,652,123,472,866,053,213,024,
839,547,724,443,345,387,033,512,666,289,703,501,203,529,286,259,101,820,261,
234,444,493,089,872,173,389,631,363,701,951,337,473,892,565,705,518,348,120,
070,880,047,436,562,286,686,824,288,904,693,663,327,324,955,580,431,633,600,
808,465,318,540,001,347,475,840,309,816,756,492,921,868,770,395,693,328,838,
020,519,232,666,025,495,129,779,541,362,784,872,225,125,730,354,377,555,998,
966,990,778,436,552,593,555,639,366,092,339,989,382,725,694,071,579,214,116,
958,477,283,529,689,115,100,533,681,266,510,204,285,696,566,390,306,461,833,
427,072,624,758,551,028,800,157,438,839,352,019,362,401,342,562,764,130,801,
617,186,857,383,555,293,974,917,546,693,758,650,426,776,873,523,356,991,637,
776,164,760,193,065,956,985,697,419,479,768,705,335,224,135,494,305,568,219,
671,867,492,630,471,205,893,029,371,889,580,942,589,985,353,705,974,216,813,
307,039,793,355,730,526,982,219,463,796,361,507,201,039,683,500,280,340,351,
741,341,815,795,460,071,999,139,254,472,599,360,433,358,045,454,758,749,468,
823,587,351,243,124,064,422,236,217,220,966,958,484,051,624,232,512,056,834,
614,346,688,577,914,029,523,558,519,882,097,726,102,446,548,596,414,571,334,
545,149,588,429,276,955,047,016,116,269,944,034,311,074,967,280,919,921,573,
090,828,134,022,159,236,305,508,403,511,921,849,868,340,861,857,882,733,070,
164,250,016,970,090,573,000,505,694,906,469,128,194,108,260,161,071,354,209,
665,354,451,936,666,146,446,552,383,680,419,182,354,977,013,985,688,214,471,
131,374,927,602,767,464,702,291,919,193,318,833,857,331,257,938,388,296,163,
919,503,063,760,665,506,853,845,449,086,418,935,640,383,572,565,481,871,335,
893,849,719,155,214,682,569,534,202,006,617,621,369,485,035,818,013,930,022,
243,359,798,884,194,045,235,534,341,738,976,832,874,234,692,579,258,402,092,
595,246,126,141,732,016,922,551,012,195,984,733,736,527,396,702,816,417,152,
651,858,122,420,647,471,440,953,964,422,177,308,650,448,154,916,564,633,146,
124,863,837,321,058,576,826,565,756,487,526,581,261,576,424,761,853,503,355,
633,060,920,111,144,576,672,750,309,677,538,098,593,913,978,218,261,138,948,
350,132,329,332,304,253,460,202,094,589,675,264,927,737,462,961,868,975,558,
742,751,516,850,495,814,317,286,591,738,130,448,379,639,245,836,969,551,237,
272,280,537,586,416,680,606,450,663,779,075,769,317,571,570,047,045,053,704,
221,369,663,209,492,261,776,260,632,116,931,263,546,293,848,006,187,747,055,
756,475,871,598,209,982,776,090,812,212,087,881,786,892,414,965,306,655,505,
028,654,492,703,972,830,950,042,816,430,000,109,404,656,172,896,684,355,146,
171,550,269,787,949,422,027,358,328,916,898,942,988,882,887,743,238,286,937,
108,512,827,779,235,048,333,884,403,203,007,847,370,721,791,070,570,692,944,
361,290,340,911,346,939,776,730,414,604,230,037,266,365,420,971,482,752,736,
534,082,463,746,350,377,798,434,576,258,593,700,530,654,027,049,004,874,327,
333,652,455,888,848,306,430,184,259,333,342,390,373,047,643,938,648,615,322,
533,599,338,930,435,167,433,138,920,848,208,259,365,160,805,286,896,947,025,
234,164,693,724,404,742,968,727,412,137,493,372,067,057,905,227,143,779,036,
767,307,359,953,385,793,891,733,435,861,279,561,962,339,641,789,169,620,854,
789,017,989,092,089,315,720,773,265,185,131,347,487,101,547,266,695,471,549,
460,534,794,610,260,439,436,422,315,773,032,495,359,059,234,485,340,065,646,
814,641,350,235,606,293,779,518,564,992,203,112,589,684,150,645,427,449,216,
001,384,039,876,417,926,282,733,332,740,958,499,882,410,261,859,906,438,307,
661,145,592,690,078,213,196,772,495,826,622,947,017,393,987,143,238,178,836,
947,515,297,311,926,465,542,933,645,146,952,111,740,757,598,205,717,838,396,
686,226,376,094,268,049,724,883,726,882,823,039,274,664,188,445,111,347,117,
575,100,011,856,266,263,448,640,703,255,306,437,444,155,868,098,668,721,603,
394,264,071,133,504,391,406,358,593,512,403,658,453,662,631,022,312,230,642,
011,969,653,575,393,614,168,897,554,164,296,199,680,860,701,463,865,639,413,
535,272,988,392,452,300,612,160,079,550,372,420,835,688,356,898,846,835,683,
046,957,230,534,785,393,223,714,430,523,186,719,994,475,909,024,846,611,168,
049,358,438,172,552,677,371,658,928,156,631,148,020,540,160,946,116,698,282,
673,966,345,408,511,502,809,116,939,473,036,211,544,594,020,765,953,527,778,
217,608,691,750,952,036,558,454,367,168,353,920,974,125,368,435,686,169,773,
959,568,918,217,463,011,968,803,215,173,056,191,008,552,469,422,848,096,209,
825,315,117,173,648,738,778,015,433,083,470,512,991,662,538,663,160,396,593,
838,764,697,268,311,231,120,933,858,136,789,662,812,613,234,697,583,947,951,
007,781,560,361,688,977,335,253,981,192,269,742,953,254,734,375,481,057,891,
246,043,754,666,374,548,338,079,192,530,591,311,743,594,214,503,792,987,376,
593,579,986,274,863,432,234,348,994,960,983,429,201,473,209,888,469,149,223,
724,556,849,256,815,476,639,471,617,627,428,710,066,224,434,696,591,590,149,
034,586,177,417,965,749,316,996,683,601,460,570,119,024,737,046,653,530,674,
559,753,986,521,322,886,980,435,104,051,352,628,983,891,256,879,617,625,778,
167,169,645,584,817,333,149,493,186,973,048,719,590,821,588,002,342,393,726,
906,078,572,386,812,085,590,625,318,833,722,259,821,260,323,535,938,434,896,
339,545,061,005,762,547,502,912,208,645,319,738,979,852,579,897,466,471,328,
277,739,192,792,933,775,756,365,291,872,416,306,484,614,534,487,032,772,237,
674,283,885,985,471,246,941,057,022,099,048,844,250,881,795,994,092,239,995,
194,049,401,561,658,893,985,622,467,919,368,594,566,376,916,424,648,479,038,
355,942,062,797,558,025,236,153,985,020,019,591,207,815,208,510,484,456,948,
573,063,448,264,335,222,743,397,795,013,910,528,456,699,127,597,188,284,787,
414,237,987,485,185,370,115,288,360,065,576,802,428,676,610,040,688,188,423,
536,089,472,208,654,905,202,421,813,431,167,221,566,810,369,295,968,454,028,
382,161,892,218,897,192,865,472,485,106,438,272,442,792,137,547,878,127,847,
573,138,733,050,423,123,418,111,699,546,380,983,425,594,757,185,497,212,232,
157,453,110,185,622,581,128,674,621,107,491,241,033,686,756,949,382,860,720,
572,876,659,927,436,118,246,020,267,204,720,212,851,221,972,411,994,816,831,
866,473,386,047,354,680,007,207,606,432,586,246,381,472,560,608,429,906,449,
217,061,360,734,536,267,838,239,530,085,138,969,996,429,400,432,803,381,629,
568,932,744,931,499,254,342,134,132,070,845,115,775,218,457,697,803,184,517,
442,039,350,372,457,195,237,067,356,043,489,716,943,223,536,876,185,012,451,
187,602,996,902,313,735,747,764,672,284,236,320,080,688,591,854,725,767,996,
935,817,440,953,240,385,849,179,945,947,265,931,017,672,048,605,888,571,974,
193,866,623,019,655,599,681,411,004,233,032,903,916,487,027,926,011,889,392,
261,234,784,169,980,600,575,870,122,330,821,832,632,079,237,392,757,130,146,
967,137,012,036,192,743,847,613,193,396,338,691,491,902,322,931,696,513,768,
535,913,638,647,347,583,608,610,104,787,689,750,254,033,930,521,284,038,354,
884,929,797,199,045,182,182,281,526,423,181,539,415,429,692,984,886,706,182,
454,369,769,018,160,223,778,078,582,548,288,509,616,751,982,005,008,239,475,
192,893,452,638,422,194,622,941,993,535,768,852,312,782,380,864,736,303,161,
877,189,509,201,170,875,554,948,329,985,100,452,303,747,112,199,540,468,505,
043,361,601,542,542,758,158,373,272,369,092,874,497,844,685,154,422,752,954,
913,763,690,530,129,487,003,616,942,329,401,461,201,411,092,506,546,521,982,
109,547,061,503,412,950,229,718,411,575,243,387,159,683,114,187,250,961,010,
860,350,765,693,143,368,717,323,642,586,332,914,967,861,632,919,434,547,324,
321,133,151,154,873,836,497,553,817,826,772,165,429,468,896,504,362,803,957,
454,109,484,878,105,031,892,978,725,271,215,184,169,012,180,462,444,188,094,
153,574,279,008,889,220,140,159,861,994,023,473,425,289,984,775,500,907,514,
054,631,072,616,369,298,796,892,160,556,667,107,395,904,188,740,943,820,628,
299,624,593,016,430,448,231,575,609,741,947,500,744,317,551,452,201,029,461,
073,933,258,221,376,093,279,973,648,464,851,581,679,279,910,508,111,642,410,
310,571,888,397,450,243,202,680,092,530,954,261,383,768,701,485,241,646,027,
741,066,146,329,096,773,195,524,588,381,461,847,238,787,059,293,347,341,782,
056,143,395,388,833,346,755,506,940,106,865,152,956,780,679,328,850,159,564,
321,818,166,373,159,279,328,225,538,764,574,227,605,905,503,964,065,902,360,
178,406,669,003,257,645,474,766,274,981,534,576,932,542,675,686,211,479,254,
853,574,097,349,402,131,031,645,242,120,262,189,919,226,910,919,416,905,245,
867,313,497,304,553,808,836,842,466,814,617,195,990,104,813,826,051,726,658,
186,736,615,318,904,086,270,501,451,269,664,211,373,795,793,394,395,052,313,
233,751,514,330,261,957,522,840,250,886,081,866,121,819,175,903,406,425,758,
472,412,076,570,881,774,020,178,541,351,848,225,656,853,268,959,555,623,106,
942,622,363,183,933,631,566,729,472,273,829,358,093,089,780,875,437,373,229,
970,585,156,218,973,659,046,587,289,568,888,054,943,360,959,354,909,372,525,
068,479,753,148,904,175,979,793,535,603,225,690,197,458,855,134,547,483,560,
098,811,375,851,716,561,501,517,566,824,670,979,587,072,616,698,336,823,045,
421,048,604,106,170,843,366,409,320,636,437,686,238,458,315,750,555,069,010,
840,563,612,952,389,421,428,853,889,334,005,369,894,638,786,622,869,107,494,
777,727,370,662,538,479,214,902,691,219,919,714,770,957,841,967,209,978,253,
362,587,915,572,135,828,295,313,222,466,381,685,959,018,685,995,560,562,197,
791,620,730,330,256,101,363,165,501,021,395,307,153,376,477,909,098,838,185,
592,004,380,049,175,032,393,081,780,631,379,843,305,059,831,929,279,302,755,
550,859,424,921,832,780,326,076,903,964,714,191,534,172,067,967,391,412,941,
723,222,427,065,075,052,459,573,139,792,448,656,198,750,964,072,894,785,463,
938,970,145,323,857,303,523,476,013,090,775,770,044,954,777,271,287,914,057,
851,885,894,429,746,953,169,155,247,896,820,969,873,686,888,699,861,402,053,
255,906,871,039,642,629,379,671,397,650,155,641,752,981,313,134,997,116,984,
898,082,833,792,272,186,524,457,664,890,173,197,731,077,991,603,703,491,190,
692,950,234,918,417,686,870,995,342,213,266,428,704,104,058,177,674,707,039,
986,359,627,335,220,807,798,071,064,713,106,074,733,663,436,515,769,521,691,
500,267,473,915,513,149,625,029,728,938,088,295,290,739,102,359,015,374,745,
964,603,885,567,008,678,581,678,750,084,660,689,775,796,825,315,777,273,178,
747,680,858,514,454,858,646,044,525,658,083,864,158,402,169,528,179,230,916,
937,247,779,941,327,820,051,487,652,651,237,970,173,952,816,865,970,893,413,
897,328,573,905,717,045,134,572,524,128,697,944,868,454,166,918,728,157,612,
130,839,808,381,362,315,459,283,634,613,475,597,479,896,649,307,606,730,969,
943,652,546,151,487,357,075,117,510,985,128,211,730,316,965,530,438,112,499,
238,794,353,532,209,455,934,077,262,491,826,155,703,666,007,746,669,760,715,
676,750,478,651,961,260,062,800,780,299,616,604,783,274,761,660,163,491,641,
406,510,285,245,809,091,131,970,322,238,987,840,839,995,462,369,423,556,296,
596,498,108,680,215,000,669,939,834,913,869,661,147,009,919,789,736,131,657,
829,460,651,596,335,311,948,457,146,061,566,911,253,513,558,849,667,185,630,
607,597,926,424,868,679,800,502,468,461,926,406,971,655,000,109,743,926,420,
193,011,427,669,486,837,766,616,734,019,762,323,695,582,793,425,286,141,847,
558,150,861,972,682,814,123,981,744,853,946,869,323,192,833,253,664,834,661,
244,273,770,101,071,818,833,160,457,967,930,702,397,559,859,460,730,528,416,
709,719,532,412,196,012,427,330,409,053,860,979,441,557,735,461,447,095,535,
005,052,291,722,772,637,026,866,136,805,423,771,529,670,996,605,586,227,359,
887,450,993,956,044,325,535,522,112,339,820,620,603,008,621,864,721,729,426,
622,419,123,558,935,390,145,890,475,184,731,184,227,053,988,519,559,619,929,
721,943,217,780,536,676,867,464,986,492,220,132,989,795,120,248,234,236,005,
520,981,396,577,762,189,415,326,774,083,778,479,074,172,221,267,725,322,670,
670,683,975,005,844,274,536,405,315,954,533,938,680,200,970,620,464,210,083,
177,988,381,033,253,017,220,700,376,308,769,851,345,960,105,112,259,625,092,
149,992,816,406,779,369,714,622,595,261,423,814,120,345,708,064,280,218,082,
687,453,715,429,693,913,338,035,747,839,622,348,028,564,752,836,198,919,058,
631,520,950,207,889,623,946,484,907,132,309,268,507,557,978,577,531,238,904,
272,025,140,183,215,222,878,507,154,278,011,487,777,581,850,483,946,760,090,
387,033,973,205,936,916,525,238,428,496,486,769,449,301,093,401,171,323,238,
067,148,068,144,311,582,926,715,423,721,186,855,362,128,565,435,367,202,000,
711,226,338,933,785,299,208,499,519,955,574,713,848,337,656,861,241,402,631,
269,048,359,256,898,377,959,561,029,841,929,663,488,714,649,246,096,782,536,
823,001,808,232,461,028,618,403,104,224,356,303,521,584,832,328,586,576,747,
288,160,875,915,228,807,140,801,758,758,385,901,722,010,847,515,828,599,905,
406,631,854,686,020,225,895,754,590,035,180,356,218,858,673,406,350,686,767,
977,026,812,617,343,786,749,713,868,672,712,451,994,877,039,164,722,560,800,
352,089,908,492,746,500,654,157,789,225,200,250,756,055,394,421,756,865,162,
825,346,546,184,877,518,803,309,474,844,080,507,763,819,193,573,376,972,248,
089,049,355,197,341,422,235,230,531,216,121,006,565,142,527,581,672,267,803,
548,623,312,395,550,379,069,043,150,337,196,353,990,229,015,392,602,618,206,
069,735,151,294,438,336,836,255,421,734,940,103,741,831,461,164,271,764,553,
483,289,917,403,298,682,498,444,971,677,224,197,409,514,553,794,794,823,544,
322,372,694,144,177,904,470,719,952,748,367,665,988,532,334,634,405,762,505,
777,168,729,472,249,200,468,221,361,159,591,891,247,693,292,319,751,852,065,
415,191,140,779,539,571,905,922,900,387,754,563,784,556,076,205,520,247,587,
924,322,452,767,481,136,427,865,089,761,400,375,064,699,067,224,094,893,147,
618,440,686,034,409,360,531,997,930,647,997,170,701,079,562,258,643,811,961,
307,172,616,170,446,544,564,356,181,740,502,631,713,973,058,574,953,212,417,
357,597,427,191,194,572,517,921,323,051,999,002,198,002,964,204,419,805,295,
544,249,984,648,046,688,256,660,784,772,014,749,620,377,585,625,915,044,521,
867,794,858,724,241,976,884,337,126,296,849,810,008,149,423,407,358,531,301,
859,771,556,865,543,800,540,785,546,203,033,486,038,046,021,399,442,742,802,
679,406,787,272,431,188,057,856,409,744,782,582,652,599,736,478,952,986,853,
281,389,254,049,643,084,121,299,021,656,203,794,758,405,265,653,248,035,486,
830,997,950,400,221,466,702,488,213,559,434,549,060,224,738,542,326,027,370,
216,884,646,886,602,746,201,781,677,615,206,812,181,213,822,111,622,583,444,
950,123,495,364,367,554,766,221,845,771,720,501,286,800,716,394,859,870,849,
609,709,905,261,532,866,858,851,707,214,874,795,880,152,252,382,133,668,864,
131,443,113,561,795,519,482,489,657,998,418,886,526,598,281,239,509,651,518,
485,961,948,480,832,070,102,198,574,543,400,389,285,230,905,440,752,567,660,
676,383,133,541,813,745,743,696,308,736,386,798,294,248,017,644,835,932,258,
381,521,437,752,677,193,281,447,919,124,611,170,302,215,706,668,491,208,221,
663,373,525,775,308,326,847,793,361,372,228,166,331,482,425,863,624,128,068,
811,040,505,846,380,761,377,027,658,359,020,953,295,510,438,226,298,663,067,
238,783,603,346,657,542,270,481,043,830,112,351,097,904,637,889,774,741,198,
282,730,121,926,092,845,407,284,553,382,660,303,466,048,718,728,495,399,982,
664,488,150,017,540,061,778,052,702,813,562,330,417,119,872,121,035,001,951,
841,115,961,593,052,456,696,656,450,158,597,525,189,343,913,350,639,723,722,
254,705,575,419,054,619,822,428,547,868,494,306,155,136,169,592,592,665,912,
368,875,249,855,453,594,988,561,092,520,672,653,953,515,912,098,233,752,350,
073,839,789,984,406,565,077,504,376,725,267,195,409,672,975,833,235,297,629,
871,094,896,823,522,121,409,868,922,077,857,208,111,556,724,866,339,709,158,
364,920,423,041,416,525,419,130,167,456,761,355,932,796,790,661,397,369,955,
915,622,937,842,548,579,038,817,412,624,266,499,830,287,083,772,876,445,569,
600,471,325,220,532,241,899,208,034,393,741,687,813,723,680,209,462,677,722,
566,595,030,281,141,985,802,502,460,305,784,533,341,882,811,660,708,344,474,
888,013,258,578,010,727,330,071,248,404,389,667,478,843,164,817,550,438,927,
260,425,861,508,799,309,250,404,739,825,538,566,866,890,861,696,912,471,019,
930,875,867,083,525,802,281,482,145,602,153,387,197,789,318,492,986,051,179,
758,735,266,909,991,791,286,099,121,766,949,721,032,030,244,492,672,733,353,
145,641,076,544,618,092,747,105,641,696,374,994,162,839,149,383,954,130,160,
146,103,901,825,882,131,893,147,217,290,383,158,319,230,420,328,602,150,395,
082,705,777,993,466,321,665,580,959,026,247,571,164,192,855,579,453,624,275,
969,324,618,578,099,635,723,272,089,269,271,373,023,825,046,984,445,775,840,
741,271,628,606,634,712,660,809,389,987,785,871,212,269,477,989,332,124,764,
529,587,042,420,989,613,801,611,693,616,255,732,962,821,687,199,725,445,836,
665,949,113,367,328,132,851,355,909,752,274,781,919,472,659,818,640,267,041,
551,526,658,726,796,205,780,014,910,555,712,984,539,098,580,567,636,190,493,
230,660,315,657,968,308,560,671,198,255,667,714,247,905,483,356,895,018,536,
100,923,187,660,298,679,909,007,814,829,125,586,926,360,069,201,845,763,251,
295,933,311,046,286,005,287,825,389,832,631,947,102,982,844,112,537,583,606,
002,148,391,508,094,504,740,868,980,935,572,802,276,112,419,685,164,632,913,
298,549,610,400,146,624,162,554,879,061,771,462,840,589,051,793,221,798,079,
773,632,276,680,597,146,445,898,911,082,353,911,246,378,393,325,765,931,214,
079,152,844,123,816,653,724,049,737,266,372,114,245,375,010,197,381,485,822,
197,496,044,001,421,543,946,368,378,430,584,947,144,385,696,312,401,973,844,
058,801,778,556,123,164,817,149,957,540,879,469,906,569,534,562,754,024,151,
113,467,242,494,553,224,265,219,954,499,060,532,263,618,726,441,449,704,529,
176,075,902,941,879,771,069,734,545,671,066,947,812,712,901,180,040,032,815,
175,890,796,656,906,609,556,743,156,140,061,349,830,316,553,052,873,640,148,
419,576,340,531,571,759,907,312,644,132,070,689,810,531,165,992,405,835,334,
548,206,832,693,010,616,663,147,115,913,736,105,422,150,641,905,510,318,285,
269,701,467,691,843,531,355,217,379,726,175,666,299,932,189,463,606,668,935,
077,051,653,136,163,076,484,170,858,608,396,334,636,304,676,271,630,860,742,
798,850,502,378,280,046,786,813,351,235,473,324,565,284,824,203,073,837,633,
899,517,085,619,793,505,534,629,484,505,935,675,874,114,219,123,910,791,746,
809,330,170,934,538,993,183,799,072,969,457,499,537,950,720,982,239,505,193,
920,643,847,645,958,882,843,727,624,433,883,217,783,477,577,358,770,061,921,
793,733,854,295,665,616,164,532,556,567,021,737,189,544,780,403,550,748,951,
524,891,518,607,447,102,740,016,696,133,432,553,684,001,645,367,234,890,779,
211,712,860,826,206,950,421,876,606,279,438,091,681,311,232,112,866,380,900,
989,909,937,175,789,596,917,222,822,645,550,751,011,613,126,794,228,985,579,
775,394,348,853,168,861,809,945,081,669,472,046,757,087,290,959,298,936,942,
658,763,084,049,549,160,662,993,878,710,536,585,409,222,261,926,791,672,102,
844,956,016,874,187,971,359,526,055,150,433,432,516,540,394,298,309,596,298,
387,270,477,045,712,007,209,248,660,843,653,907,303,468,047,306,241,411,428,
474,719,581,870,553,259,574,498,920,061,622,566,630,143,135,208,327,448,265,
151,647,301,423,554,447,339,778,265,806,535,955,735,233,754,223,319,214,267,
841,845,387,960,873,821,316,415,874,616,272,735,665,209,963,184,845,636,544,
449,157,081,017,790,271,538,944,541,146,415,505,195,410,035,543,255,252,388,
792,941,737,680,009,857,951,399,711,641,218,127,327,315,855,439,204,600,828,
643,145,692,462,856,373,977,076,224,595,983,507,101,221,371,606,208,747,069,
614,972,964,621,467,156,405,133,482,789,848,804,845,078,309,874,716,498,468,
436,413,419,089,344,194,465,329,903,943,100,377,668,458,447,977,516,228,793,
035,187,510,259,407,839,645,556,589,759,415,608,975,492,948,376,316,969,719,
545,680,160,313,835,751,177,740,068,582,432,987,074,322,215,378,458,670,138,
163,775,698,361,522,716,872,263,548,869,410,711,630,394,572,042,293,334,265,
539,806,223,065,876,176,578,281,514,046,722,101,211,539,613,854,413,110,053,
535,812,517,339,729,727,828,168,166,218,352,508,184,420,028,811,383,093,511,
814,840,253,940,763,013,277,638,265,190,609,111,072,650,070,542,540,794,357,
461,541,377,869,678,074,745,810,816,687,526,113,594,069,554,403,364,791,653,
520,016,899,306,216,571,099,526,099,124,963,162,860,824,683,730,054,369,678,
250,469,870,632,110,341,100,695,265,789,884,935,709,551,867,154,502,824,459,
446,311,852,281,952,766,254,419,401,786,907,398,571,555,738,478,802,244,270,
264,245,936,028,758,271,294,981,080,768,688,179,610,803,888,490,330,217,039,
456,484,563,912,972,347,385,124,122,592,906,189,102,609,744,823,697,436,176,
941,477,666,070,171,331,688,969,771,148,638,375,097,840,873,539,014,056,625,
278,140,122,263,571,105,592,439,024,202,355,372,300,519,764,965,799,634,874,
767,837,123,002,577,851,050,631,169,997,218,933,807,168,231,334,965,709,398,
528,677,426,072,484,143,190,979,596,251,635,141,790,879,665,630,336,735,490,
540,127,057,886,785,123,013,166,638,168,284,253,288,472,694,031,538,070,428,
906,440,120,366,546,404,520,138,158,999,508,809,919,552,728,972,250,912,826,
779,638,388,474,057,811,615,814,168,544,693,241,311,463,678,698,212,525,231,
455,617,116,069,312,426,765,193,942,403,904,169,344,834,551,781,217,538,873,
766,774,284,570,600,768,021,569,500,220,294,626,841,404,874,477,025,192,029,
614,708,597,452,029,626,677,715,255,317,591,531,246,795,257,637,880,967,501,
899,772,543,729,381,053,723,310,129,755,242,005,495,062,037,199,136,059,211,
316,015,509,292,792,945,083,410,978,404,661,192,837,647,130,785,018,903,111,
880,267,535,635,680,154,640,985,124,485,283,736,502,741,357,674,194,641,866,
802,449,492,040,539,915,321,739,052,058,493,252,941,426,844,459,962,272,663,
984,421,305,770,641,749,920,605,952,523,351,130,577,374,339,432,278,578,884,
152,793,217,838,353,131,357,319,983,433,689,554,348,239,293,110,781,899,783,
927,683,875,343,227,237,521,515,665,575,208,391,661,185,541,397,672,087,744,
347,532,446,893,747,889,232,121,113,887,571,135,643,477,348,130,044,504,984,
316,638,240,648,097,279,021,758,376,917,986,121,278,053,511,989,419,861,620,
746,124,909,503,418,300,518,643,047,112,029,512,237,288,752,682,104,247,419,
540,216,561,878,880,331,285,895,529,514,467,993,932,877,345,014,967,932,248,
090,631,405,146,771,349,035,593,358,131,336,005,047,423,989,884,226,832,731,
077,505,969,075,217,350,204,745,151,236,260,079,342,352,172,676,779,407,906,
456,259,031,233,361,645,136,492,588,807,797,930,031,106,069,346,865,318,995,
719,156,493,193,409,618,571,837,016,453,998,887,225,690,451,616,334,351,475,
510,751,543,548,401,453,178,703,286,218,305,930,381,897,943,836,734,111,949,
477,370,987,308,824,294,911,644,493,503,978,080,464,785,617,445,707,370,450,
125,049,077,409,598,939,826,420,088,111,594,190,921,496,374,964,811,646,929,
792,630,237,977,379,557,209,190,536,334,286,630,059,816,381,060,146,983,056,
712,076,222,965,321,447,949,251,564,290,770,307,645,262,570,931,802,870,284,
296,544,609,095,710,779,944,801,744,385,651,860,032,488,137,910,961,430,338,
846,147,500,476,989,353,291,354,642,587,277,571,938,463,129,312,453,638,765,
069,750,957,213,245,986,814,014,708,115,127,131,744,095,735,319,495,037,205,
131,027,585,773,594,843,723,432,253,556,781,184,541,779,187,142,739,464,323,
946,414,194,718,711,451,761,869,586,867,252,721,877,034,048,411,180,044,176,
399,871,548,520,397,236,272,582,316,843,816,412,032,854,081,659,599,189,928,
501,330,892,477,173,376,398,333,934,855,769,380,395,707,625,703,776,109,329,
762,279,147,203,079,503,975,852,848,747,798,152,249,386,448,460,553,708,351,
740,859,074,248,022,497,782,409,966,199,596,064,435,245,610,081,366,414,066,
430,311,189,931,283,840,780,377,461,643,093,643,066,162,214,611,087,140,165,
928,116,077,880,139,964,244,987,194,513,124,638,525,503,766,885,119,002,024,
950,836,873,431,137,638,151,060,814,505,276,619,349,983,692,691,483,353,747,
156,874,801,774,034,404,273,642,731,583,226,951,288,958,629,747,732,480,430,
406,705,683,003,176,339,314,464,819,620,614,181,174,182,842,269,751,214,448,
820,424,896,542,133,128,650,869,604,325,735,641,751,300,678,269,113,176,616,
248,860,376,777,146,025,747,678,373,163,169,163,819,433,941,393,003,250,600,
614,240,050,851,890,246,960,132,592,469,014,412,105,741,833,283,459,367,185,
875,365,936,670,134,905,753,087,129,190,127,719,750,017,506,894,158,598,122,
963,112,113,505,944,674,881,485,436,486,870,099,996,231,798,649,166,060,432,
193,428,986,243,480,842,478,100,323,499,406,902,410,547,126,562,455,165,224,
365,245,088,085,441,708,467,912,137,373,974,889,119,377,440,608,012,628,123,
604,414,438,334,624,792,697,060,203,317,204,868,272,004,753,098,574,434,455,
551,392,651,907,982,821,947,914,929,582,311,024,667,615,330,994,823,851,145,
985,741,014,872,203,142,878,586,178,010,244,264,079,029,091,472,319,222,558,
932,081,193,680,619,905,011,617,328,123,002,530,623,714,371,404,791,293,807,
311,360,404,338,812,091,758,054,976,749,123,234,310,939,241,302,341,776,181,
846,834,424,062,298,404,685,696,094,648,768,493,151,432,653,445,332,521,863,
142,407,440,334,422,186,054,217,132,630,900,926,075,214,159,575,575,063,533,
730,952,030,849,628,824,400,166,625,913,310,880,659,328,890,083,112,611,791,
635,128,190,964,933,703,164,733,324,070,429,596,565,943,540,958,216,422,030,
517,478,450,183,356,565,242,305,782,965,230,108,230,110,511,679,336,262,674,
704,051,117,703,413,933,767,290,646,738,258,962,468,831,262,429,507,588,247,
334,400,480,496,091,541,240,417,889,504,482,139,173,458,056,817,315,709,274,
734,543,577,793,510,144,118,156,123,471,048,872,125,250,806,015,877,236,278,
881,090,759,692,475,646,910,035,469,183,428,130,162,319,819,487,984,416,117,
351,144,407,652,723,223,450,919,424,674,567,052,652,224,494,457,776,173,486,
585,369,442,686,758,523,864,933,831,482,211,113,019,031,703,224,337,946,128,
790,255,019,283,945,619,266,421,868,348,610,538,340,267,223,022,764,836,048,
799,774,934,902,441,988,301,332,424,866,590,278,631,368,124,357,319,652,745,
908,631,752,395,716,052,918,246,924,590,269,019,073,132,884,740,443,356,685,
416,976,173,384,734,848,672,458,912,544,944,824,161,567,381,768,405,585,258,
708,397,763,087,194,872,578,679,318,779,310,895,938,371,428,249,934,931,604,
264,828,775,792,774,925,523,310,629,276,407,777,393,936,890,901,142,902,259,
509,271,962,643,588,522,458,897,363,441,045,888,420,722,791,236,838,327,630,
208,073,623,471,663,951,752,038,399,301,089,170,985,522,888,844,159,903,716,
907,049,155,803,056,153,990,952,068,000,004,776,693,106,724,078,980,093,473,
117,188,549,333,153,854,587,170,429,028,911,392,131,175,399,288,352,544,176,
193,052,008,816,492,699,564,268,642,519,744,184,364,958,956,017,578,033,253,
205,366,576,313,574,578,910,706,426,780,574,760,162,672,864,895,908,061,144,
606,629,296,502,647,252,574,570,313,932,646,120,405,412,786,854,382,434,866,
109,520,776,995,561,017,305,212,918,240,080,528,126,592,547,846,258,018,279,
291,911,586,326,850,621,339,754,359,960,368,148,642,002,569,142,192,571,782,
942,581,083,996,540,467,538,881,648,242,106,969,078,627,084,422,818,914,931,
349,968,143,177,170,863,844,773,596,254,089,328,894,163,830,622,189,631,224,
888,678,124,817,393,669,916,195,532,496,675,143,218,176,622,813,671,743,028,
166,716,593,973,232,856,996,442,820,553,720,228,095,661,397,022,603,207,480,
166,160,166,763,915,589,544,673,957,581,737,366,609,147,531,998,546,151,227,
337,629,589,642,943,001,423,875,706,900,458,272,295,695,636,475,170,218,265,
126,893,356,934,170,243,719,032,420,544,515,261,478,199,613,530,967,475,394,
673,865,076,596,283,074,213,621,693,083,434,852,045,422,154,668,242,176,319,
139,129,330,764,454,684,693,959,446,241,937,825,896,878,651,171,002,208,193,
142,023,653,728,201,579,988,578,070,692,045,169,912,850,095,037,174,686,032,
822,420,066,981,675,248,167,146,534,938,596,412,395,427,856,354,341,253,527,
873,063,825,807,152,118,675,749,364,174,188,275,800,463,651,617,318,765,260,
996,979,144,106,583,271,465,367,882,185,992,224,388,493,396,708,795,729,416,
433,262,016,891,160,455,533,696,073,505,303,850,271,207,136,265,384,940,078,
223,422,859,466,411,232,698,796,489,251,186,705,388,028,549,076,657,323,504,
868,740,940,435,337,297,685,624,538,259,969,660,520,086,009,444,205,814,067,
426,790,824,026,401,197,489,920,349,780,613,266,092,647,148,832,301,355,486,
060,377,274,016,445,030,542,856,495,524,626,374,699,110,765,974,681,585,500,
979,867,293,154,808,220,573,728,246,862,142,751,289,822,544,297,883,415,680,
165,047,073,530,112,075,039,959,011,007,439,050,696,113,064,634,786,966,735,
108,604,008,278,231,406,096,362,404,712,931,931,487,488,892,733,416,235,959,
364,397,224,446,954,168,043,843,959,806,132,055,269,236,152,419,556,767,246,
945,543,631,471,287,663,586,608,417,689,409,711,265,026,230,412,781,501,301,
125,223,933,333,782,485,555,226,435,036,410,273,039,871,115,064,906,892,661,
682,761,699,957,945,548,921,496,673,684,620,155,974,349,351,991,999,337,657,
368,138,734,654,188,351,507,222,724,254,083,208,898,928,367,363,846,074,260,
976,205,003,650,931,173,853,245,533,474,779,727,133,945,420,775,700,224,779,
676,098,726,484,458,714,869,108,275,289,298,536,490,120,868,364,181,467,208,
749,275,273,249,046,468,851,966,852,647,206,065,066,652,567,539,549,804,500,
339,836,408,816,448,205,797,412,974,944,227,126,654,711,345,709,910,564,211,
740,841,969,255,261,175,649,277,394,746,852,560,208,582,051,177,472,839,722,
676,430,790,586,329,238,331,898,686,228,245,234,317,323,126,937,305,539,666,
921,462,060,267,782,131,340,366,791,558,620,754,018,862,342,921,263,288,050,
054,222,345,913,796,352,350,807,212,935,281,333,265,048,190,068,350,666,799,
139,018,486,514,441,219,135,659,924,462,897,672,214,951,561,088,418,160,697,
825,817,313,272,121,176,392,030,982,770,301,623,168,438,881,307,502,658,544,
069,645,878,658,548,462,403,353,189,503,181,327,416,905,112,806,469,289,780,
073,596,250,810,068,281,662,644,129,949,191,521,218,624,563,617,039,658,834,
711,149,396,763,947,079,486,689,881,933,783,026,117,599,225,970,167,836,820,
423,153,032,090,723,477,074,726,975,361,688,580,952,689,461,480,687,594,835,
437,258,904,732,268,942,120,025,008,994,269,841,359,324,735,477,681,743,999,
796,136,395,330,559,518,215,259,394,235,003,211,386,156,816,660,034,952,628,
573,989,889,054,110,426,368,474,931,497,232,958,608,489,734,454,993,714,458,
710,180,614,704,468,804,927,203,836,650,487,657,711,829,341,789,061,691,206,
974,474,254,835,835,754,697,483,398,722,295,908,138,948,494,266,955,222,364,
667,424,146,258,367,278,872,856,552,489,644,687,957,338,008,985,350,678,384,
803,276,440,190,822,536,695,204,578,948,823,762,607,978,042,318,746,691,576,
943,143,574,778,131,517,364,235,771,164,359,746,673,290,912,152,830,165,027,
677,818,437,275,132,381,324,930,930,392,055,969,292,107,300,400,324,718,929,
003,198,753,064,041,528,826,640,281,207,851,805,235,821,270,268,843,787,285,
152,692,477,099,240,996,464,723,968,117,563,222,944,751,033,251,581,011,191,
448,114,306,498,365,019,108,589,657,296,304,085,116,535,389,775,601,816,736,
254,853,213,300,153,409,061,972,220,644,960,715,004,061,168,371,763,677,237,
415,977,217,790,576,158,374,734,121,764,351,787,998,438,483,367,149,171,653,
078,512,305,962,814,431,165,265,458,744,046,468,730,574,959,478,710,568,648,
831,770,716,804,257,259,200,644,218,845,391,952,022,642,875,298,533,615,373,
689,997,765,739,461,918,104,930,575,365,040,492,398,774,819,962,639,559,348,
033,511,438,869,368,286,467,166,797,354,557,234,218,713,583,015,458,917,990,
857,187,758,666,584,613,936,382,590,275,094,927,087,453,979,884,299,091,843,
942,246,538,107,831,265,576,262,761,922,203,518,156,168,408,964,013,022,448,
889,058,202,988,353,674,475,851,549,665,224,687,915,055,208,424,738,723,983,
735,228,981,552,584,339,755,168,228,678,849,048,146,660,768,227,263,420,632,
362,701,718,269,437,903,020,402,122,621,180,704,233,560,969,707,792,304,748,
212,421,679,839,342,519,621,699,834,611,870,166,124,316,845,471,630,435,723,
058,768,797,399,773,147,043,942,647,915,370,219,817,843,186,679,043,446,547,
083,420,623,534,917,295,380,024,877,392,857,767,519,924,685,974,109,064,993,
059,282,515,662,056,103,727,843,742,694,012,294,600,287,938,039,390,901,213,
353,560,492,697,489,290,912,398,577,346,286,366,998,175,005,363,413,997,986,
840,578,627,174,543,516,743,674,844,859,153,869,910,666,375,857,222,440,890,
319,820,582,849,302,706,573,768,670,944,031,464,822,977,395,396,119,694,138,
667,188,084,449,891,262,805,698,640,985,096,623,387,338,526,103,011,366,293,
166,516,488,142,550,348,613,406,267,574,945,290,225,900,234,165,233,212,052,
342,721,861,156,615,522,979,387,211,200,025,177,951,537,665,558,758,658,939,
240,809,735,970,151,524,525,384,475,133,454,634,119,292,958,491,723,060,840,
014,402,918,840,448,872,279,737,449,561,262,469,751,610,402,623,133,457,915,
013,821,278,661,383,973,653,168,085,491,575,019,450,274,423,295,669,136,283,
243,789,260,153,190,120,216,798,529,042,729,250,425,019,855,471,642,211,354,
249,288,873,217,462,210,593,328,010,558,599,355,680,638,844,604,623,508,539,
733,769,967,541,629,729,197,075,286,276,804,500,302,152,510,992,095,695,262,
700,038,023,465,563,272,102,176,977,951,781,906,511,472,060,619,876,661,662,
024,104,938,567,673,404,233,566,777,323,580,431,442,915,304,881,847,718,026,
837,700,991,946,841,012,700,749,823,243,785,226,545,966,126,071,469,179,856,
864,764,600,141,310,342,455,973,814,279,730,665,980,968,107,769,511,805,416,
592,947,093,270,262,097,800,242,346,902,246,633,295,372,023,728,912,566,363,
631,075,806,599,287,244,926,170,306,307,590,574,434,991,913,402,425,799,418,
580,622,744,547,479,515,408,879,555,940,640,967,572,162,742,817,468,234,757,
779,636,999,854,123,714,230,668,143,349,665,344,423,591,888,569,494,044,806,
847,212,047,542,002,550,081,054,686,197,842,846,294,650,836,773,108,357,517,
380,391,635,091,516,026,386,914,391,051,985,697,524,011,345,273,458,750,469,
788,582,614,785,983,812,678,606,140,467,115,114,484,037,779,589,063,294,007,
090,999,590,671,147,912,082,894,596,363,648,906,783,612,258,039,344,039,732,
157,169,002,524,665,230,993,192,260,751,064,950,040,693,089,942,857,580,430,
217,536,113,125,826,145,530,920,643,674,070,741,436,426,823,608,727,228,495,
036,577,000,342,041,540,547,680,975,892,219,010,772,036,970,838,688,841,709,
201,763,255,464,677,501,914,869,974,221,297,867,907,653,431,198,873,955,647,
968,472,448,972,895,787,889,407,225,109,747,963,681,416,993,804,784,064,989,
525,275,542,155,812,079,381,289,241,333,129,485,642,516,974,388,508,932,433,
425,186,890,139,779,533,926,200,753,997,806,897,066,747,079,855,137,268,608,
060,808,172,463,716,519,840,992,326,172,183,578,012,242,151,222,592,228,490,
244,860,107,703,787,202,510,998,556,384,070,367,984,238,366,340,090,420,357,
545,893,529,847,461,466,028,156,221,876,142,307,552,809,496,682,736,210,675,
209,591,938,491,605,580,342,447,924,550,442,866,988,840,171,925,890,386,390,
118,634,800,832,128,646,402,783,505,719,316,606,964,733,254,136,184,934,517,
464,530,811,807,986,887,307,843,580,265,616,781,227,317,887,712,407,662,893,
712,215,997,012,025,258,310,745,843,160,747,579,402,082,045,003,815,213,013,
810,800,155,308,387,647,720,954,883,614,519,931,664,017,359,925,268,387,170,
319,354,397,558,011,227,636,127,814,688,183,477,041,760,301,220,061,518,720,
470,171,695,547,874,236,714,518,789,904,716,002,293,907,332,677,594,387,221,
248,183,309,082,262,315,945,127,733,847,221,276,947,706,714,745,965,494,969,
085,123,362,122,300,430,762,585,172,704,526,725,637,268,919,782,365,585,928,
338,197,250,114,030,032,215,092,840,679,069,464,259,767,041,555,351,093,057,
931,264,272,764,986,713,201,161,288,593,246,814,166,165,027,520,837,609,707,
027,480,820,698,246,078,720,091,262,282,661,225,226,200,123,218,560,071,820,
262,452,224,131,565,249,711,050,251,518,768,057,569,698,000,036,631,759,828,
677,442,887,456,674,810,303,904,768,023,270,242,509,277,094,726,040,454,385,
855,847,692,785,729,404,530,665,296,164,578,049,460,272,205,512,997,630,784,
737,384,494,196,857,214,206,461,612,295,625,777,364,171,232,716,301,448,590,
611,404,682,684,163,698,192,826,489,842,046,114,631,637,905,419,210,338,615,
452,458,700,541,143,479,072,055,711,815,251,258,263,567,200,231,136,760,155,
512,982,367,960,172,631,238,898,938,935,966,225,952,942,104,409,788,008,945,
490,414,813,951,842,547,235,712,248,309,070,669,490,976,623,280,373,662,621,
948,548,187,723,207,381,416,228,308,425,659,231,145,232,889,299,940,587,320,
859,743,794,172,091,013,187,681,878,017,894,224,862,845,361,986,722,589,168,
427,025,956,739,284,410,771,847,762,764,363,820,221,201,880,345,868,805,860,
160,303,448,856,281,866,704,270,070,613,012,771,298,712,606,264,002,980,812,
813,152,596,801,681,655,900,900,756,545,475,561,432,403,704,724,374,281,010,
435,387,676,988,707,630,044,727,262,181,105,565,157,845,707,719,302,260,718,
993,578,779,586,226,267,198,459,392,636,289,758,476,166,236,230,682,064,249,
591,272,506,397,005,984,020,366,369,832,850,193,456,094,547,354,290,836,879,
694,692,134,402,980,502,980,326,264,200,724,082,510,881,133,497,144,620,600,
885,918,552,096,476,369,004,100,699,059,413,482,111,499,329,155,508,694,079,
372,615,248,489,933,283,316,458,671,464,381,083,367,634,329,435,343,903,494,
292,871,527,098,387,370,236,334,603,846,060,893,295,232,613,884,443,378,622,
404,222,152,094,266,673,991,117,750,124,009,141,549,374,299,695,412,077,219,
082,805,652,836,868,232,173,375,303,795,368,039,332,064,432,551,331,821,589,
884,650,909,676,966,612,606,830,002,225,990,299,808,390,810,195,068,068,711,
083,721,945,357,518,123,536,049,085,527,775,498,877,509,671,154,278,267,380,
835,842,089,506,621,690,741,482,380,239,306,072,110,802,619,018,572,435,449,
800,042,571,295,988,251,738,052,710,883,273,713,063,937,015,140,177,390,381,
132,332,579,404,909,268,674,327,626,632,220,069,856,400,147,164,810,879,936,
070,382,926,247,789,633,663,988,311,231,139,394,644,033,992,503,174,899,213,
025,343,029,422,139,759,597,863,803,235,367,101,103,306,034,956,487,374,465,
356,702,010,059,281,721,165,474,787,927,666,368,802,389,545,415,804,978,902,
308,444,642,993,084,872,733,526,147,595,954,779,069,069,037,724,349,934,247,
977,733,454,395,179,296,283,982,711,485,985,779,357,704,859,704,074,825,760,
623,520,260,861,476,427,745,988,727,860,864,091,238,429,330,747,537,745,682,
545,704,220,566,228,773,691,507,360,605,912,258,934,273,721,295,664,442,249,
995,445,073,000,992,080,740,254,282,917,515,577,569,042,263,890,624,106,865,
331,232,498,327,106,950,867,060,656,380,736,219,525,632,347,813,995,593,101,
451,332,413,107,105,428,676,112,889,251,177,028,863,885,473,089,522,598,753,
053,194,967,260,013,635,011,892,215,245,136,357,091,142,505,909,114,555,785,
393,673,870,779,551,705,591,982,872,991,648,045,315,280,300,773,251,214,588,
983,161,736,059,883,326,916,894,787,754,609,221,199,628,647,788,770,959,932,
255,765,692,263,360,964,097,307,526,605,976,507,894,443,922,809,822,996,262,
086,759,577,140,858,482,877,700,983,163,033,297,075,424,224,107,745,452,312,
758,820,979,383,679,661,988,660,743,681,348,004,150,196,433,754,362,459,574,
849,899,586,963,634,062,363,688,571,687,087,161,443,867,171,631,935,756,991,
170,339,831,100,674,913,040,705,680,882,556,571,961,254,468,534,266,169,394,
189,896,500,115,589,085,549,852,544,284,905,506,372,150,997,818,590,123,071,
867,744,334,933,837,576,297,854,491,446,739,784,571,628,552,200,770,856,033,
407,781,698,834,820,731,122,034,607,099,142,714,760,034,337,415,867,190,087,
359,540,809,618,265,678,169,290,302,169,777,807,769,495,073,535,983,826,708,
962,684,599,065,348,614,308,442,807,101,377,656,442,243,155,926,826,953,402,
255,873,682,350,056,584,842,588,037,890,155,249,363,314,796,950,375,123,242,
901,994,100,734,928,744,211,751,427,200,981,267,758,658,724,110,586,424,402,
036,375,275,181,782,513,620,725,105,082,277,132,604,710,206,689,654,826,935,
437,118,853,761,885,577,955,504,476,697,554,219,935,961,010,855,284,096,754,
451,364,922,618,565,820,416,724,010,633,895,729,683,984,270,363,739,025,933,
179,806,570,424,977,336,283,316,033,012,422,410,723,735,565,928,596,024,960,
464,937,967,188,460,372,350,568,579,444,813,903,552,055,722,696,178,549,128,
724,691,767,200,351,296,985,022,568,772,014,884,160,952,325,081,776,287,123,
136,530,173,053,451,564,722,291,659,679,497,501,256,799,075,418,847,485,802,
279,195,283,830,835,244,631,187,828,669,965,225,969,206,988,449,534,931,391,
914,128,688,314,701,750,946,295,032,846,157,915,133,879,692,500,592,395,493,
540,627,494,934,968,231,051,104,288,397,754,896,367,215,308,673,941,150,128,
048,929,195,514,694,874,980,946,615,387,142,271,477,382,885,425,444,379,048,
234,944,458,623,482,995,932,181,120,235,679,589,451,650,842,718,865,485,681,
919,687,084,406,799,052,417,273,902,744,276,789,245,632,949,770,102,497,744,
673,974,432,679,057,988,634,557,521,998,628,570,075,726,367,909,745,616,598,
994,635,795,871,498,268,359,201,085,041,812,329,925,746,363,247,057,219,996,
887,884,803,405,634,212,386,270,280,063,646,649,753,825,551,522,488,978,884,
490,413,868,600,706,021,089,282,472,580,176,033,403,034,023,802,580,685,367,
367,019,870,231,801,073,731,562,561,698,295,301,068,931,769,061,563,036,569,
255,454,919,231,599,813,436,907,684,907,814,713,632,570,227,067,836,605,683,
164,459,801,886,744,460,320,135,119,579,099,665,504,199,749,687,907,515,825,
045,791,956,026,612,228,215,052,910,558,453,989,551,017,566,395,446,460,854,
362,188,506,676,160,517,820,190,026,126,218,204,287,202,053,050,059,459,524,
071,347,283,671,366,805,523,473,625,362,939,772,217,353,048,636,419,663,510,
489,522,216,434,581,224,215,284,529,479,569,174,276,969,360,406,489,568,907,
820,220,562,856,756,028,860,497,926,576,652,368,400,692,622,932,848,265,658,
817,382,032,323,160,386,425,871,643,757,041,802,199,728,934,072,449,374,704,
118,853,154,933,290,854,912,980,195,831,987,083,870,950,838,116,926,523,023,
413,111,185,354,748,168,951,531,886,722,226,756,847,211,294,172,147,177,387,
189,091,227,153,647,041,951,763,640,458,313,336,145,821,114,130,557,909,772,
607,691,499,355,816,708,777,561,510,056,915,157,700,287,653,912,457,016,885,
366,908,035,919,909,904,718,459,460,778,609,607,958,132,028,722,645,179,565,
284,668,990,379,420,465,875,732,240,927,272,141,580,556,769,018,421,171,226,
613,470,634,658,679,039,098,531,673,566,482,073,931,311,980,388,103,387,457,
275,796,130,559,634,304,212,982,630,585,878,022,635,037,189,858,733,445,962,
568,852,068,352,607,052,927,189,291,448,131,288,436,342,776,675,205,188,906,
087,908,146,561,302,889,139,469,933,061,655,421,709,943,209,603,249,492,510,
245,586,127,156,933,189,306,581,125,111,053,275,254,941,704,024,470,636,675,
541,794,898,277,236,535,210,709,095,293,135,405,153,209,231,838,537,307,955,
708,630,265,403,924,400,901,700,691,399,046,385,002,944,125,932,645,980,869,
505,987,751,272,042,994,377,131,043,682,162,556,887,214,144,668,818,714,979,
597,081,156,351,313,551,963,698,182,662,332,792,918,977,212,255,606,169,077,
314,517,586,478,550,801,844,372,984,775,945,662,377,863,169,100,071,027,749,
900,968,451,104,787,946,129,915,665,037,067,320,336,041,252,946,961,466,974,
186,810,002,960,860,378,040,864,476,701,940,007,113,178,963,067,709,460,111,
426,981,870,758,647,334,731,207,302,286,949,259,027,118,512,928,470,521,408,
559,683,583,329,156,623,144,704,049,647,038,037,917,644,401,791,407,730,722,
300,397,918,072,555,110,317,273,951,614,924,219,224,444,905,231,377,846,297,
444,710,530,265,035,723,879,105,183,811,201,943,128,545,334,542,836,717,067,
408,475,932,751,173,615,460,123,097,850,457,316,957,259,722,753,868,176,548,
953,616,629,482,364,519,646,976,861,807,127,960,206,627,412,901,198,680,588,
141,360,362,600,750,914,280,813,005,348,555,567,638,694,127,322,079,781,107,
943,702,413,583,708,583,122,138,674,016,277,191,030,038,076,986,980,360,930,
163,283,298,245,747,265,926,315,064,659,961,284,431,036,567,721,852,270,525,
637,542,103,184,049,500,652,033,232,663,314,662,259,510,913,266,189,763,071,
329,371,825,629,555,861,476,325,700,620,393,745,831,868,946,861,223,280,282,
151,989,204,586,682,894,042,031,990,616,470,985,580,561,307,498,182,915,085,
410,542,318,240,039,459,048,576,425,355,981,904,168,388,475,196,700,449,608,
848,782,571,346,966,044,015,691,742,755,083,694,346,472,489,454,092,647,658,
700,115,224,921,595,788,843,126,984,259,381,668,009,912,556,690,172,652,784,
877,196,697,146,491,468,173,120,461,607,460,528,160,284,987,514,925,572,617,
067,185,406,944,859,887,750,937,827,306,010,721,994,488,102,805,726,631,536,
795,347,504,801,701,149,408,613,802,465,513,857,420,613,936,846,319,751,686,
381,010,133,113,186,613,659,153,986,015,877,548,700,692,879,080,644,102,646,
567,219,845,726,513,793,731,198,150,929,055,257,018,813,438,816,887,045,064,
873,597,019,731,851,080,020,462,527,062,867,493,955,954,008,661,507,172,279,
352,155,671,551,241,836,093,244,585,376,580,238,575,285,946,500,060,113,798,
892,128,219,754,808,698,794,996,717,744,824,587,493,912,673,774,590,761,795,
711,400,654,384,712,275,862,423,103,025,119,116,557,078,777,460,509,260,292,
545,299,032,462,880,682,555,334,355,647,283,027,506,947,274,306,510,989,740,
872,174,084,856,486,941,708,773,371,219,202,286,910,935,850,711,682,047,322,
306,560,676,592,964,868,483,315,480,279,973,547,671,459,366,283,027,819,190,
110,988,580,356,278,813,851,035,282,241,169,129,391,704,407,504,698,032,054,
542,373,380,972,420,133,341,555,264,455,196,663,811,004,089,366,001,264,023,
227,801,211,737,997,470,387,441,128,964,461,500,230,396,054,151,529,520,285,
986,689,614,975,240,208,443,515,621,275,069,147,552,509,984,386,274,322,713,
130,347,259,276,450,137,935,065,625,788,119,065,260,690,473,063,030,158,235,
371,222,537,057,852,750,488,401,183,377,794,623,619,737,377,924,729,667,901,
716,021,097,388,018,727,686,951,289,378,965,663,972,213,349,081,416,656,458,
152,983,137,636,425,086,302,724,000,922,235,079,600,699,599,955,315,072,570,
471,029,644,689,036,942,906,547,900,131,705,043,422,709,806,380,203,542,738,
695,476,631,826,466,787,925,219,797,414,415,135,032,960,749,970,053,040,377,
692,167,009,634,850,952,093,848,545,778,213,273,234,426,381,179,465,624,923,
707,057,831,776,514,672,171,062,630,100,807,041,339,282,410,291,990,150,834,
403,276,576,053,411,140,474,962,836,689,288,706,892,094,428,261,364,951,712,
722,207,139,336,756,693,354,403,887,511,124,766,460,974,793,664,204,537,230,
691,142,622,336,516,844,387,906,725,327,565,986,846,046,879,736,431,146,432,
835,797,444,091,078,033,676,434,975,286,650,491,351,476,323,623,945,508,261,
748,695,549,398,009,623,861,970,945,779,796,443,085,131,216,027,991,573,203,
031,619,958,703,356,906,015,622,521,202,781,661,512,213,834,324,989,558,052,
766,952,001,274,732,048,499,202,802,269,643,596,349,862,062,055,970,369,955,
496,922,713,520,336,119,379,958,590,914,516,029,430,262,855,956,926,791,775,
590,938,544,404,860,001,494,439,879,544,129,489,620,508,746,414,861,258,675,
573,004,462,753,605,245,369,813,001,706,492,358,396,146,060,660,579,134,711,
413,346,091,724,404,329,313,799,546,627,025,188,433,103,547,124,183,490,651,
835,713,733,073,360,329,393,312,800,339,467,648,174,178,907,476,434,054,170,
519,173,472,736,793,523,122,745,339,835,410,966,078,152,333,627,467,826,552,
543,399,684,383,927,573,941,619,493,146,472,097,034,792,742,028,885,816,044,
083,280,347,630,060,645,150,606,670,576,422,699,448,756,476,165,874,944,224,
243,737,168,993,706,343,582,332,040,300,337,159,349,880,572,528,927,541,086,
824,676,070,302,587,126,076,508,417,168,506,212,074,969,264,899,641,832,992,
626,320,105,680,288,580,940,706,082,258,547,224,091,173,889,949,986,983,593,
871,038,610,241,448,665,925,075,026,841,016,230,814,785,530,116,652,631,157,
583,728,610,491,399,455,900,455,610,765,099,847,802,409,595,428,209,372,288,
780,430,979,228,524,158,918,896,465,069,856,275,174,442,231,063,993,670,892,
407,122,746,188,453,968,039,813,252,946,182,549,967,123,676,835,346,426,125,
748,073,692,379,522,094,780,668,962,248,637,716,952,163,222,291,167,311,036,
162,018,445,155,007,936,012,009,623,937,482,858,549,828,355,329,803,357,111,
986,673,840,461,961,736,852,532,934,444,546,806,907,952,370,299,143,545,381,
219,610,992,016,161,794,789,074,437,809,072,104,209,186,718,680,376,509,683,
412,334,263,649,709,554,072,972,496,764,432,345,565,400,431,512,495,287,083,
374,652,615,576,971,019,901,443,867,046,317,658,661,865,155,151,589,575,913,
291,445,908,862,101,125,711,403,587,461,933,665,056,381,204,192,005,603,249,
629,979,304,006,165,093,747,542,800,302,929,188,639,183,615,394,453,720,382,
067,126,108,897,078,764,791,654,691,715,596,340,424,603,356,310,252,494,336,
828,956,363,306,059,961,003,401,463,641,830,163,663,346,916,714,420,359,025,
800,265,895,440,531,534,616,999,524,957,475,053,724,350,379,410,774,702,798,
469,961,794,070,028,708,431,197,719,921,755,789,681,472,290,577,871,083,426,
593,271,930,768,706,486,500,665,268,307,168,708,146,971,892,214,804,099,466,
303,697,475,203,756,069,821,054,686,624,421,773,871,795,986,424,433,543,014,
187,311,459,855,817,163,706,262,475,904,434,894,107,889,417,907,926,337,258,
139,383,381,889,211,401,641,833,005,975,914,059,533,032,252,427,677,778,359,
864,150,335,282,749,452,735,155,362,232,864,940,133,682,949,117,835,734,594,
326,433,071,582,741,774,210,564,685,183,067,702,952,625,570,276,019,224,569,
720,400,241,084,620,167,281,810,063,274,322,427,367,366,244,474,452,157,285,
186,559,922,829,273,717,164,778,505,095,723,306,193,454,056,664,894,442,352,
578,450,529,013,294,007,255,036,829,099,094,297,413,298,379,479,734,068,006,
777,142,631,400,551,537,339,723,522,318,145,222,836,163,671,732,680,234,348,
551,642,409,111,334,013,626,931,860,103,924,318,639,963,389,209,989,500,350,
579,511,293,450,480,622,493,026,201,140,099,780,974,583,264,818,972,376,968,
329,109,413,409,638,308,775,850,888,732,694,334,783,394,931,753,087,293,396,
014,575,184,743,335,644,928,364,639,227,273,136,892,515,580,049,705,601,758,
921,323,097,818,635,161,252,100,461,377,426,139,934,836,088,781,203,466,972,
813,565,915,275,728,067,202,964,750,880,607,020,136,680,034,546,135,750,424,
148,799,237,836,246,264,065,141,969,599,469,644,098,354,545,776,062,648,944,
314,307,723,818,432,981,513,466,776,445,013,001,795,565,488,994,151,063,691,
432,907,961,218,473,994,576,682,183,173,391,019,321,276,898,819,973,691,396,
489,795,181,229,145,056,206,343,437,756,898,229,839,699,880,836,947,644,263,
458,053,886,271,635,237,908,631,449,782,719,843,744,154,164,218,320,526,644,
152,231,279,637,036,065,660,638,701,914,492,821,392,929,289,872,588,227,290,
043,641,645,580,887,625,209,633,855,851,268,638,908,978,918,611,325,278,912,
479,809,098,553,036,782,976,206,795,602,877,712,540,630,298,190,412,666,228,
013,612,641,886,687,411,636,439,813,585,047,424,884,248,242,179,480,935,719,
247,978,439,425,056,932,877,676,523,069,961,418,902,878,182,255,006,919,378,
788,575,673,354,626,839,277,785,753,147,603,732,927,901,262,710,780,798,251,
005,545,098,427,650,058,553,225,120,745,950,009,810,024,347,585,657,934,441,
237,183,338,648,742,622,715,491,956,746,426,841,801,885,523,080,909,376,632,
057,518,757,891,147,539,384,755,212,446,289,184,360,705,143,626,934,774,921,
451,525,293,023,758,383,382,310,357,129,301,136,619,967,633,071,134,548,642,
755,393,792,163,107,153,047,187,291,103,649,488,931,224,987,897,601,374,370,
025,417,108,222,424,539,559,879,292,764,470,144,330,796,916,975,749,526,648,
454,638,161,222,656,509,729,117,533,752,673,796,078,805,887,115,848,314,294,
911,776,403,487,338,573,491,950,910,977,642,942,901,001,469,159,914,348,089,
038,557,762,104,878,256,227,537,838,558,663,794,402,901,692,025,017,494,014,
504,050,178,114,843,408,197,052,519,828,573,616,097,887,038,858,376,147,128,
880,502,762,416,197,417,630,922,236,691,480,988,655,351,737,488,269,670,348,
652,101,625,060,959,597,477,627,363,373,531,697,774,707,052,329,639,354,175,
926,499,454,918,920,890,810,385,680,836,082,136,972,476,348,729,649,153,240,
746,774,841,464,435,085,741,457,927,317,696,325,083,344,871,296,835,823,429,
093,851,397,372,178,282,011,935,712,043,583,017,183,358,963,056,362,647,309,
779,927,014,143,709,679,974,334,720,881,531,853,527,719,573,926,644,039,139,
560,458,787,715,414,050,126,644,896,212,551,130,099,458,128,477,467,345,307,
514,887,153,343,706,778,275,416,201,762,611,853,871,389,195,080,446,705,567,
636,845,277,927,491,300,586,279,665,158,794,132,404,311,732,509,685,096,476,
655,353,656,971,433,538,803,387,980,195,501,912,623,065,589,716,253,760,956,
573,543,681,924,570,600,637,597,778,913,467,781,331,626,127,652,724,711,993,
841,118,498,399,290,129,448,991,290,977,170,735,185,167,059,684,377,330,603,
891,682,460,929,464,620,034,630,121,853,196,259,193,203,635,588,626,191,864,
651,590,509,008,096,065,245,602,324,992,561,782,259,261,411,790,919,796,069,
759,652,754,222,239,645,227,806,777,526,320,546,983,654,007,283,113,003,952,
085,747,461,385,478,459,465,733,594,475,479,838,936,833,820,710,260,515,979,
244,327,944,763,441,411,676,512,081,160,467,054,577,027,124,883,514,645,111,
718,274,412,141,604,995,063,877,093,354,349,265,753,337,574,515,214,421,119,
941,266,379,258,164,085,655,786,903,528,308,552,566,085,640,558,586,775,173,
129,949,771,793,806,342,215,375,274,415,306,277,398,583,912,955,343,842,022,
426,842,614,203,464,060,662,027,826,750,200,997,660,989,976,517,137,721,202,
869,714,599,871,276,863,338,936,479,256,937,490,024,776,232,923,642,385,694,
176,756,771,763,564,239,811,244,924,540,188,701,674,045,983,059,358,295,705,
082,162,587,184,408,806,502,494,251,172,594,713,596,181,576,236,309,891,582,
711,017,552,976,958,642,234,233,029,118,434,382,689,642,643,560,116,415,513,
399,379,873,513,325,482,133,839,822,693,132,021,659,389,622,526,583,185,449,
453,799,280,557,929,099,666,333,142,992,676,841,864,768,613,481,292,439,181,
615,253,425,646,117,983,002,080,388,942,401,871,515,019,597,593,185,044,947,
991,252,630,810,451,733,881,146,653,984,712,877,124,357,549,743,591,176,965,
934,353,035,533,228,174,980,373,721,532,192,892,562,645,629,474,814,751,526,
423,112,662,189,720,914,529,990,734,930,130,867,619,825,494,160,178,968,654,
074,906,942,473,845,280,090,579,408,050,297,717,971,724,084,883,601,872,228,
171,558,570,817,432,974,301,493,504,275,719,626,123,077,281,252,931,911,087,
199,376,940,308,451,686,752,636,136,074,565,754,772,702,689,954,132,370,134,
325,186,107,176,059,321,685,673,927,296,043,266,629,977,357,783,048,099,844,
007,604,297,668,051,050,188,149,809,929,996,494,011,750,692,530,111,594,001,
971,786,510,497,150,972,193,271,725,472,527,402,900,917,191,918,064,744,512,
419,474,109,744,436,490,308,328,482,462,803,104,314,877,197,208,822,312,525,
056,457,848,713,624,273,345,718,133,465,409,088,003,335,236,733,680,652,066,
072,555,899,117,293,436,167,549,839,598,936,882,166,479,678,978,089,991,509,
344,419,081,468,490,499,542,043,466,050,612,783,664,946,148,983,621,032,270,
828,224,604,621,963,794,570,026,907,876,051,759,417,469,603,906,138,881,575,
579,571,684,787,045,210,538,088,952,620,075,320,688,916,232,142,242,717,346,
597,967,063,771,475,598,626,171,083,783,809,493,507,373,574,476,892,617,351,
586,950,328,365,914,240,790,329,938,417,014,999,929,727,542,080,106,070,088,
516,081,581,784,421,752,429,660,154,012,059,240,691,291,903,276,786,175,035,
026,061,302,960,283,080,136,275,878,488,597,876,164,498,289,654,884,234,024,
913,556,443,410,559,261,619,314,286,656,241,720,177,870,406,358,854,784,413,
972,094,123,408,702,359,878,807,450,410,889,469,583,386,974,454,104,155,240,
489,611,338,016,133,971,654,808,845,551,302,235,149,233,208,604,923,102,924,
444,210,266,794,544,021,746,703,136,764,117,694,109,648,808,757,809,418,032,
560,982,055,053,196,704,463,896,277,064,287,777,226,109,533,671,075,884,347,
017,584,366,907,897,587,535,588,708,271,299,318,241,286,784,325,587,893,433,
316,116,724,780,255,742,075,339,701,207,895,839,673,248,405,174,504,003,125,
855,661,278,058,827,539,448,245,337,492,875,854,659,567,019,827,186,374,785,
741,995,987,461,828,539,949,236,683,664,598,871,786,831,436,795,178,882,858,
463,731,858,703,214,293,579,616,474,185,895,876,792,555,498,812,452,801,696,
279,658,825,832,173,790,471,549,323,461,449,383,012,435,046,375,037,921,924,
523,439,826,160,718,977,384,311,453,255,650,055,896,560,567,421,038,188,026,
059,387,555,059,710,912,382,189,499,145,399,408,379,386,161,469,761,831,634,
336,429,204,242,871,601,854,754,603,445,229,719,905,795,694,371,411,383,706,
188,218,418,957,569,157,938,901,727,818,516,336,759,030,960,010,780,178,404,
436,546,947,241,168,383,416,765,539,904,695,862,081,149,258,457,134,005,978,
900,473,425,250,210,766,545,306,355,038,156,694,344,052,934,684,420,627,593,
081,634,782,375,839,414,922,778,947,481,479,180,705,322,691,740,411,432,046,
820,148,927,425,112,237,109,223,622,226,764,776,686,652,055,353,748,058,582,
787,191,250,990,419,201,229,551,276,839,173,559,585,753,745,581,401,035,810,
292,256,088,241,748,891,307,257,217,953,544,969,889,454,250,591,520,992,858,
518,723,854,799,197,449,566,197,743,059,440,877,550,740,811,569,689,233,152,
447,240,067,803,424,413,961,418,935,790,291,383,325,597,884,030,540,540,027,
837,566,119,890,777,695,357,999,766,701,692,270,526,160,956,855,259,279,309,
772,746,224,840,764,653,595,533,428,039,310,211,918,934,658,795,721,358,955,
135,774,712,256,845,945,589,378,102,688,596,856,616,898,915,796,566,835,475,
583,962,011,238,082,879,160,978,006,052,110,501,394,049,646,380,157,344,381,
668,006,945,482,004,634,061,504,469,626,281,008,677,419,675,242,901,279,645,
675,733,564,941,620,296,669,255,525,028,091,676,199,219,671,967,578,642,809,
299,952,845,818,550,241,853,984,806,160,650,872,611,171,466,997,526,457,160,
473,362,109,372,698,461,830,410,150,688,189,031,527,211,239,552,726,283,913,
347,990,577,696,483,374,039,551,711,277,181,214,746,171,598,571,573,774,602,
708,883,103,109,038,518,655,531,346,014,758,158,322,769,215,554,938,109,008,
718,649,368,522,769,435,816,107,421,083,290,509,483,966,648,428,699,987,446,
085,454,787,283,592,102,572,563,951,611,453,674,106,343,825,045,508,051,378,
769,740,839,937,282,987,146,379,883,035,148,757,547,459,398,507,535,074,044,
050,339,592,980,259,081,161,901,906,357,569,831,877,601,274,236,220,011,154,
487,266,799,030,577,260,816,719,901,815,174,886,686,640,204,437,636,112,996,
555,387,849,075,992,552,308,611,475,776,468,816,615,376,318,332,556,836,808,
264,209,209,181,920,603,463,329,960,888,800,461,859,797,010,517,797,112,832,
462,258,413,798,416,833,260,078,830,790,497,565,881,769,980,730,404,769,334,
988,287,322,998,781,271,698,780,412,313,172,735,556,003,966,026,333,839,493,
296,367,514,504,940,714,286,594,323,021,431,662,786,464,398,593,787,442,289,
862,681,356,853,842,403,643,131,098,889,773,657,039,850,138,351,555,280,000,
372,502,523,436,557,938,292,383,193,559,405,725,202,789,071,989,627,698,869,
613,459,989,499,206,457,505,714,644,720,501,427,491,725,010,475,649,057,403,
388,299,099,238,425,368,340,004,504,871,676,386,867,032,996,133,962,428,753,
444,213,229,567,239,495,497,159,167,190,659,816,181,128,975,727,015,581,746,
518,121,372,332,920,739,296,295,167,915,402,191,611,139,979,269,118,806,613,
566,699,148,427,542,779,986,815,237,284,186,814,257,102,809,067,178,864,927,
148,265,835,607,456,418,332,162,741,159,069,142,668,905,010,250,021,071,855,
230,514,254,583,323,922,797,795,308,144,158,206,119,703,052,748,062,739,537,
792,852,238,897,092,916,900,992,581,907,571,298,647,745,150,927,823,451,848,
331,277,502,412,491,922,483,597,439,218,235,856,729,485,929,738,603,586,337,
438,637,955,587,770,531,116,186,263,930,946,597,715,767,052,809,101,527,468,
745,476,379,123,446,430,409,512,495,001,148,270,924,791,864,883,684,857,414,
754,672,593,605,135,469,028,341,218,734,087,097,603,336,738,565,407,691,458,
467,801,562,546,591,532,966,009,466,589,309,032,087,623,941,724,290,419,417,
911,428,851,895,285,615,911,609,405,869,922,518,766,466,860,281,287,251,239,
776,816,577,190,315,496,666,308,543,818,443,970,468,635,599,879,476,635,654,
643,429,130,976,670,778,254,146,274,052,328,540,961,447,640,641,529,384,222,
469,240,500,226,048,082,330,367,448,433,298,017,640,774,728,480,113,667,075,
905,494,644,700,220,915,989,159,975,670,063,996,794,492,516,444,452,546,139,
054,165,840,410,584,400,074,731,931,581,861,073,134,732,365,820,774,579,451,
963,886,512,179,842,149,969,259,728,603,692,520,919,954,206,993,023,618,386,
480,902,364,135,115,327,440,017,833,260,759,282,216,644,792,880,387,832,838,
801,824,735,003,384,647,962,777,777,734,241,263,803,531,222,409,684,018,739,
547,152,346,346,046,204,445,003,110,508,974,957,007,340,799,394,143,364,192,
078,651,081,117,884,013,331,296,858,406,650,410,674,332,580,215,873,322,825,
484,153,225,160,707,528,269,712,863,873,202,195,351,543,747,646,290,994,803,
737,728,368,214,966,538,185,433,139,238,506,941,999,743,676,118,024,917,728,
070,207,813,008,791,568,020,719,696,697,693,472,641,004,986,956,737,091,351,
593,696,263,400,766,404,895,266,337,372,905,455,550,803,186,280,815,526,055,
744,046,313,510,956,161,249,121,819,818,092,436,358,340,843,886,870,357,570,
013,019,497,846,410,713,437,187,746,111,301,624,085,275,460,142,032,645,234,
788,817,298,854,840,250,808,669,883,357,207,124,400,124,872,224,562,184,097,
229,118,517,010,078,533,208,755,581,834,360,532,178,690,284,193,201,068,562,
908,995,269,487,282,135,845,737,307,233,380,828,260,452,418,453,923,792,742,
128,941,414,187,108,133,589,800,896,087,418,797,458,240,001,270,364,144,938,
553,681,445,860,978,546,477,655,470,273,383,552,950,796,630,686,210,601,570,
067,112,281,078,062,483,027,926,579,758,894,422,253,931,484,538,622,423,491,
113,783,184,523,936,120,970,416,407,367,609,970,735,475,682,555,445,622,703,
704,428,568,277,082,791,208,878,973,071,097,699,404,201,084,651,318,244,935,
275,400,521,123,112,907,926,496,425,297,489,078,886,902,301,399,491,529,466,
387,154,819,215,940,602,710,028,980,527,666,971,340,353,410,969,511,206,289,
517,703,284,039,259,102,365,944,613,477,861,727,522,866,664,053,597,622,485,
934,038,745,232,645,807,630,160,728,302,126,776,137,619,754,148,444,605,939,
285,335,146,636,181,495,230,254,337,098,557,836,371,663,353,948,263,628,629,
199,853,568,619,985,231,667,491,551,714,142,116,899,280,442,012,359,987,426,
669,399,113,084,055,785,738,531,739,870,592,945,799,055,787,878,750,221,723,
891,226,042,782,809,125,308,180,435,358,373,750,980,104,156,417,633,144,181,
641,201,806,585,157,602,188,988,778,519,020,241,761,524,758,415,462,938,681,
168,533,027,612,262,564,433,989,952,211,633,415,227,651,253,648,232,813,031,
248,128,578,838,009,607,994,055,784,838,048,923,382,861,177,159,398,733,885,
050,113,209,466,438,457,039,101,784,688,760,665,096,175,974,253,810,725,445,
053,514,516,092,204,156,438,054,860,103,381,574,786,034,903,906,546,686,613,
440,096,318,319,318,480,575,479,994,539,053,865,045,914,673,406,707,985,995,
848,403,863,750,986,089,872,903,340,107,373,952,774,208,858,200,731,252,998,
077,217,727,566,872,227,060,062,015,260,675,578,725,748,235,297,115,221,545,
532,173,662,420,644,076,743,012,536,277,955,737,802,232,814,721,402,749,261,
932,359,658,921,649,487,895,261,576,103,607,626,835,492,930,866,051,601,121,
272,542,457,301,657,594,921,060,766,710,098,124,888,874,510,371,710,027,254,
807,320,115,373,117,383,034,052,013,428,246,202,678,651,953,782,450,488,078,
263,512,269,259,049,974,431,519,074,340,677,198,719,109,175,874,477,549,051,
067,294,212,536,841,796,178,910,715,088,186,239,596,050,957,618,431,374,531,
226,315,304,889,682,737,006,177,304,895,943,541,259,524,488,204,992,011,505,
033,689,650,023,769,589,372,021,979,988,855,244,707,706,149,026,111,975,126,
504,979,697,332,401,509,664,842,150,266,764,371,289,224,867,025,302,034,945,
990,785,437,441,480,808,940,723,687,688,085,131,657,725,568,050,485,432,773,
591,239,844,971,769,323,948,551,923,782,687,599,938,266,397,249,039,473,191,
446,522,032,888,432,441,578,564,240,095,858,213,567,884,615,401,141,073,411,
775,252,319,938,801,056,892,571,133,121,143,731,189,925,625,211,563,849,989,
650,433,007,395,908,611,204,267,244,286,310,922,367,354,455,161,479,822,177,
820,119,608,220,195,088,998,607,150,693,752,013,212,127,729,228,208,590,887,
405,831,439,131,169,884,094,714,093,016,823,041,737,700,482,654,952,366,416,
261,042,284,492,820,807,370,920,889,307,410,928,590,878,393,146,852,787,878,
526,333,885,858,755,867,062,689,667,233,221,121,487,720,857,059,901,277,923,
874,790,428,681,580,018,359,732,518,653,297,134,373,649,259,115,964,637,553,
089,116,793,724,086,990,714,229,117,772,522,047,640,965,578,613,539,905,262,
694,756,461,849,998,279,210,148,059,366,276,448,005,177,238,975,961,958,432,
805,117,282,631,927,360,582,502,500,147,399,629,706,573,333,486,478,549,883,
564,429,833,649,634,051,182,924,077,736,530,264,117,158,153,016,987,145,228,
389,180,361,828,447,696,777,326,296,248,853,044,613,877,622,582,891,199,393,
525,566,123,752,713,954,394,175,416,692,645,089,907,867,953,531,206,683,965,
558,984,349,156,602,292,816,009,749,872,884,762,034,000,341,235,282,845,014,
436,064,965,337,003,776,413,895,388,225,134,945,285,044,233,621,189,593,280,
483,339,202,393,887,950,079,946,119,023,074,044,333,723,386,327,666,163,698,
735,746,816,212,969,178,054,342,007,545,797,058,160,576,223,501,575,272,741,
512,806,860,019,095,978,952,570,479,359,895,994,868,801,832,526,108,607,256,
949,510,284,043,348,309,321,115,419,326,505,104,440,291,282,602,787,951,557,
519,050,079,430,600,419,988,721,717,616,185,490,445,027,072,666,620,298,579,
228,992,359,879,224,752,306,111,487,306,006,813,470,151,541,020,385,197,377,
366,556,856,031,760,359,382,303,329,134,862,541,162,396,611,410,931,863,455,
245,733,582,150,575,856,021,799,608,078,294,106,038,100,281,885,991,040,240,
661,507,874,918,231,378,941,256,304,044,218,222,748,385,036,301,078,253,195,
476,483,168,660,027,485,350,687,283,692,097,432,017,381,706,483,312,709,497,
994,173,181,486,652,042,493,775,492,877,979,292,491,944,806,207,646,396,858,
071,303,882,764,262,436,304,137,011,148,054,353,083,860,279,998,689,400,383,
597,888,543,489,826,867,886,095,214,151,396,737,257,517,620,861,025,559,999,
167,205,529,759,198,486,936,879,052,990,906,361,266,460,655,158,336,424,017,
277,848,927,993,457,172,540,367,622,307,740,024,877,005,131,683,776,439,489,
669,783,933,838,651,306,548,979,839,059,508,189,285,419,735,311,673,566,240,
474,803,239,946,200,621,783,507,765,198,359,199,860,874,422,302,438,827,202,
413,164,825,762,353,623,223,390,336,477,439,642,716,942,797,770,361,058,412,
695,100,165,306,335,465,500,069,423,878,160,401,782,883,873,642,377,223,067,
695,190,835,910,966,028,294,164,177,312,652,742,896,475,061,835,892,736,846,
348,780,942,909,666,214,357,595,738,629,971,724,874,105,141,576,690,380,153,
215,507,533,189,370,080,917,608,693,512,565,844,169,118,708,385,447,609,746,
580,743,400,098,441,596,856,665,976,791,924,070,272,587,828,366,754,794,042,
882,665,691,560,635,538,148,684,586,283,415,922,079,643,909,223,982,925,163,
632,248,159,376,820,983,967,597,094,401,828,256,988,978,367,438,384,279,594,
763,501,430,823,699,733,963,944,908,267,602,263,451,282,243,729,985,697,991,
401,907,851,958,132,833,658,380,478,740,337,518,124,181,895,185,559,909,942,
601,057,867,837,646,164,395,790,098,289,557,800,143,023,815,241,735,552,297,
370,160,574,115,151,281,753,597,905,227,651,899,770,184,637,420,856,044,572,
565,580,341,464,424,648,419,057,378,315,192,399,547,358,529,024,518,842,897,
206,572,048,374,534,528,867,634,658,050,834,858,832,163,869,598,793,441,632,
910,749,479,952,792,684,891,068,972,387,402,938,815,077,931,568,471,552,986,
880,319,501,654,411,820,102,753,449,945,990,873,092,724,232,841,019,063,107,
892,131,659,453,909,040,050,298,836,616,698,547,642,814,891,176,406,140,404,
287,758,296,553,151,411,953,112,425,588,904,845,270,015,805,081,127,043,662,
890,532,333,617,153,316,647,521,376,496,639,093,038,061,493,523,211,386,193,
773,341,455,076,072,003,936,674,793,424,153,625,886,097,898,455,024,825,815,
138,909,624,760,461,932,859,096,902,426,955,341,706,157,967,640,912,840,639,
567,967,476,386,692,645,772,474,207,486,495,460,639,804,865,361,185,350,489,
722,944,219,391,701,557,197,252,796,755,193,549,973,958,657,107,265,435,694,
435,528,467,140,764,915,808,111,709,856,727,575,797,668,660,054,489,080,674,
828,112,133,063,461,721,253,368,079,993,749,450,812,568,559,923,608,593,355,
248,239,927,936,550,879,727,028,956,878,795,104,381,831,875,433,078,137,409,
638,931,957,857,131,183,925,042,220,529,367,894,055,079,579,333,763,970,278,
162,001,426,995,918,368,235,133,809,051,817,551,574,985,644,448,193,757,975,
668,980,338,960,224,010,395,248,192,152,348,755,977,919,404,810,808,916,619,
419,593,637,871,049,533,304,053,062,098,820,335,034,506,456,717,035,886,300,
354,523,305,807,342,635,627,989,807,026,092,872,909,582,991,233,043,595,159,
892,219,249,228,945,762,337,808,972,605,308,115,310,274,194,350,608,769,287,
626,354,542,569,267,786,011,187,111,089,953,508,087,355,204,259,895,263,576,
759,233,185,158,582,072,763,376,397,026,702,148,240,878,654,862,585,364,480,
567,114,960,600,850,242,254,619,845,876,677,302,027,148,956,381,588,191,007,
235,056,027,476,485,517,402,458,576,790,710,871,772,118,704,773,453,156,236,
838,827,888,081,203,162,779,019,282,076,066,566,429,973,506,961,699,689,964,
156,231,670,324,607,812,005,658,455,315,348,996,368,431,414,023,385,383,267,
539,646,907,769,278,626,894,161,214,840,357,176,433,147,725,664,580,544,463,
332,821,776,699,734,141,115,766,927,446,885,429,995,797,673,034,461,940,238,
752,578,791,051,339,946,215,454,787,211,093,376,601,110,668,059,490,692,221,
163,613,098,244,586,290,694,372,026,619,005,517,345,388,124,862,061,861,457,
120,428,877,962,364,608,149,186,902,228,367,569,542,002,062,695,945,117,957,
796,543,825,985,969,491,788,548,597,109,677,795,350,513,235,108,234,005,455,
671,139,334,198,972,384,262,543,041,795,464,114,385,910,691,482,272,633,369,
962,287,832,151,835,627,269,773,078,610,920,881,240,299,655,882,026,251,232,
087,606,517,432,382,909,423,641,058,077,005,033,000,793,600,743,268,448,169,
725,945,212,497,257,381,895,036,311,459,274,093,013,242,955,813,146,348,587,
167,658,052,164,474,051,411,889,844,500,526,903,270,916,016,138,985,649,117,
184,775,437,067,860,310,533,457,295,027,972,600,947,696,192,100,898,611,503,
554,283,604,348,537,719,068,911,734,005,494,949,699,335,405,611,306,668,318,
867,948,873,800,096,240,621,652,784,549,214,307,448,432,065,776,918,766,133,
641,824,852,613,524,701,904,698,236,662,266,684,788,202,763,509,859,936,094,
067,861,313,315,260,251,097,729,556,792,192,470,344,227,888,921,287,681,621,
175,558,118,065,094,714,638,583,984,093,898,856,041,375,031,140,225,314,394,
082,164,131,137,750,681,006,332,602,147,979,966,287,844,719,111,593,725,098,
112,186,419,670,377,918,331,540,336,929,086,145,820,077,680,001,731,876,480,
934,891,363,104,578,556,408,762,221,771,977,004,073,394,311,746,844,946,554,
647,333,352,655,110,102,514,444,991,563,692,891,527,538,466,532,122,034,131,
071,124,345,058,270,899,186,667,502,504,966,667,599,208,534,064,514,983,809,
632,145,281,748,336,013,791,666,794,857,591,378,549,915,771,706,648,529,624,
897,464,015,897,002,416,196,014,059,238,020,705,627,922,181,182,439,540,833,
706,228,923,180,346,214,365,992,000,545,413,755,331,998,876,411,258,416,316,
999,648,863,433,471,744,252,409,522,724,079,499,655,798,561,169,676,237,913,
809,627,794,569,837,231,979,580,133,380,478,662,991,689,329,062,147,143,569,
398,787,925,712,240,227,283,189,557,560,379,003,190,994,873,893,714,078,837,
005,954,957,743,176,351,379,745,464,028,353,227,136,249,545,769,839,541,415,
277,682,751,222,378,112,517,911,652,017,503,975,081,403,284,002,692,469,578,
336,075,225,473,106,500,073,051,163,878,287,843,217,395,309,216,898,873,116,
712,151,800,096,672,773,066,522,479,562,919,613,532,862,495,872,835,177,382,
853,854,229,409,880,933,364,393,180,592,825,986,887,343,125,222,141,951,081,
165,714,960,085,840,747,973,931,223,593,938,533,884,198,525,471,117,171,145,
043,974,604,735,421,183,081,501,685,378,869,495,792,860,315,994,067,269,858,
220,782,684,749,645,417,446,616,421,934,179,784,412,047,609,536,452,596,039,
081,168,348,860,094,018,014,593,320,570,210,610,057,898,418,941,069,164,103,
393,260,382,680,468,587,137,914,680,159,922,161,564,210,969,971,766,082,063,
650,503,188,144,083,173,059,266,701,692,542,122,993,081,249,104,557,202,324,
274,257,626,572,372,722,398,033,679,409,009,680,974,342,863,215,775,181,330,
172,987,011,960,309,891,318,686,627,933,814,963,707,292,069,006,824,009,314,
974,195,139,512,707,999,845,068,789,749,085,068,493,324,711,381,629,622,032,
539,634,783,063,073,038,963,655,053,605,758,199,305,839,163,552,785,018,034,
152,800,523,578,569,327,576,899,564,475,982,788,681,113,492,732,528,160,984,
086,257,192,335,811,626,124,476,676,965,995,915,881,247,775,498,274,817,981,
527,253,083,578,573,669,265,173,501,708,227,356,979,132,036,107,399,549,071,
956,173,870,135,015,041,259,874,061,272,320,089,312,160,158,686,672,639,441,
208,444,458,578,199,883,238,668,644,371,036,816,714,075,585,458,697,834,393,
792,453,459,437,584,788,276,202,620,674,904,719,149,326,153,952,848,900,012,
646,368,562,182,977,348,235,075,524,873,828,149,071,752,592,960,740,400,221,
104,401,040,503,962,848,105,876,906,662,691,189,675,620,221,582,471,770,961,
164,311,529,121,252,560,576,381,821,068,263,117,560,351,878,243,797,012,458,
808,448,534,932,386,443,063,177,793,923,852,982,073,930,964,932,912,994,650,
700,827,818,275,064,741,061,580,801,272,342,179,740,733,591,788,554,000,245,
604,563,230,953,824,593,222,668,343,355,550,645,060,405,703,420,963,439,658,
013,899,315,323,503,833,155,571,452,026,815,757,010,837,531,961,925,671,501,
563,776,013,777,760,149,409,353,432,789,851,052,373,534,610,698,445,203,655,
630,015,401,130,457,893,521,622,518,711,340,390,253,340,385,391,758,345,518,
642,356,074,437,456,003,838,954,050,690,921,881,062,116,483,591,754,730,986,
655,819,770,285,882,944,845,484,432,425,832,364,053,949,414,839,652,555,339,
328,183,051,603,751,606,484,087,352,826,674,517,308,468,603,128,347,815,339,
274,228,648,562,127,301,152,813,210,432,504,619,267,669,515,007,096,240,994,
618,456,749,831,038,852,447,869,718,928,527,965,086,892,573,916,824,875,339,
522,869,723,148,192,941,566,525,574,125,732,519,481,348,027,574,584,701,230,
662,314,496,306,636,976,472,558,298,595,535,610,491,149,281,929,288,927,098,
333,632,108,049,173,190,683,927,092,561,734,729,245,760,776,291,931,428,406,
127,393,628,344,251,079,749,373,358,448,924,025,873,016,888,579,072,509,710,
655,079,633,591,491,856,287,053,279,070,137,080,878,061,134,691,217,743,782,
969,134,093,680,243,653,186,233,987,141,135,374,417,649,403,269,419,175,323,
996,404,059,841,853,200,700,162,752,138,257,584,989,457,762,270,472,129,891,
146,321,121,882,617,500,364,602,717,657,833,983,136,568,281,573,200,833,794,
417,531,848,091,537,844,524,200,380,481,104,249,071,690,277,331,285,367,027,
081,922,298,419,050,324,392,499,944,317,845,723,222,410,316,576,326,080,577,
530,481,054,098,205,489,432,590,018,170,884,502,745,010,683,750,459,857,887,
315,609,159,639,176,319,547,813,562,098,919,151,539,861,194,806,749,583,413,
814,397,990,013,926,705,449,259,521,829,783,955,647,443,248,174,075,295,282,
942,975,232,250,806,098,759,779,227,260,696,199,111,019,149,903,676,335,913,
586,156,726,131,980,160,272,383,835,260,804,172,189,444,047,761,859,344,010,
806,186,904,521,138,596,403,870,259,590,636,157,176,096,123,966,576,590,736,
234,025,563,305,062,604,913,513,158,269,034,062,909,976,661,482,680,710,283,
491,153,533,679,160,851,102,997,808,924,111,809,093,799,736,193,987,791,233,
396,073,052,278,741,497,124,577,391,054,867,596,052,782,241,213,323,648,728,
199,857,569,766,385,220,358,761,295,107,820,956,647,159,046,036,049,318,847,
364,929,347,672,133,076,369,334,530,413,438,473,803,340,751,876,690,107,335,
627,710,761,316,054,081,100,523,497,860,685,446,063,516,569,848,852,329,510,
375,004,319,562,692,697,461,424,118,684,179,396,693,418,104,259,601,361,433,
050,020,901,608,615,021,383,001,466,876,463,129,937,072,115,346,993,982,891,
673,919,888,412,558,183,219,793,941,278,834,687,954,105,269,732,791,635,512,
916,240,985,103,125,932,686,306,799,674,604,632,021,613,027,884,942,202,103,
020,667,312,331,622,431,430,842,567,647,414,059,886,931,047,509,977,514,557,
454,703,218,905,651,107,063,868,176,466,181,146,644,331,829,346,882,802,414,
472,827,025,864,307,787,279,198,259,744,421,639,135,024,960,898,750,196,364,
688,376,872,778,661,928,713,423,944,802,199,111,757,754,054,354,840,039,264,
952,697,524,687,328,473,218,701,506,305,518,008,882,345,241,131,276,457,824,
512,399,356,972,466,399,724,564,015,916,011,508,018,260,339,254,474,757,723,
971,451,581,817,002,180,236,322,746,653,060,231,302,213,815,216,132,158,030,
567,529,208,623,510,722,276,236,744,846,080,520,400,637,067,264,648,618,092,
009,834,449,330,091,289,004,165,410,174,014,292,625,321,332,906,142,212,469,
514,723,378,629,578,788,877,726,359,054,160,735,913,062,867,094,892,244,655,
124,558,021,965,186,760,551,422,594,899,252,280,422,679,482,767,147,610,553,
392,918,281,888,049,866,389,476,595,019,845,890,362,306,006,275,023,341,348,
173,311,846,305,675,287,971,932,560,095,290,683,407,039,334,560,638,447,131,
940,459,920,839,723,822,132,605,477,415,886,426,573,125,585,413,817,559,716,
891,292,980,127,832,239,743,835,708,897,329,943,649,038,544,315,861,266,633,
882,506,043,412,279,331,982,946,815,831,180,154,667,011,208,927,268,075,333,
994,285,436,572,243,121,466,993,752,470,340,205,170,084,916,660,877,013,094,
875,388,820,791,538,707,275,552,951,765,714,062,283,664,195,104,742,376,321,
487,309,818,220,772,034,896,762,497,606,374,425,884,198,336,634,105,440,829,
082,198,801,029,120,199,131,429,605,780,911,036,663,354,681,732,117,935,210,
377,388,354,456,638,947,224,194,378,904,761,714,846,047,253,315,982,211,060,
525,924,529,815,690,469,281,309,357,155,859,252,999,026,732,018,696,718,940,
813,128,441,485,569,776,450,605,084,097,432,282,599,868,028,640,044,231,031,
742,525,356,047,613,298,157,985,256,521,216,208,641,783,649,224,881,202,887,
817,570,048,114,404,845,418,873,945,523,045,238,350,600,063,080,766,775,811,
700,665,048,058,069,608,072,388,862,653,740,615,301,064,497,104,969,074,083,
393,500,888,346,117,282,522,367,066,661,632,306,045,623,951,845,717,740,634,
955,834,549,951,842,841,876,194,014,352,990,730,075,585,150,023,030,264,263,
923,243,129,173,537,952,382,246,118,263,116,554,191,271,316,830,088,959,368,
144,509,165,568,967,934,260,660,166,204,664,606,839,819,719,741,098,593,507,
271,853,220,652,183,158,717,549,870,009,868,725,325,087,387,083,544,748,046,
224,816,180,351,495,728,886,859,062,144,136,422,483,209,579,528,140,983,835,
244,015,904,211,121,796,433,342,046,798,149,951,706,014,829,618,912,458,159,
170,835,615,256,123,952,561,038,336,750,851,082,738,428,399,752,745,283,359,
174,005,264,189,507,683,775,933,173,720,594,305,180,690,374,019,246,035,168,
276,759,371,343,952,197,174,399,342,363,720,875,985,428,325,564,346,579,675,
252,161,089,551,639,464,032,828,101,430,273,397,312,944,675,482,014,054,279,
114,992,796,247,101,340,961,333,222,452,957,246,436,968,607,076,834,577,117,
297,615,571,100,701,336,586,912,252,112,032,228,148,592,193,511,962,241,853,
123,669,835,001,979,092,976,876,020,749,211,553,236,677,793,547,900,238,773,
127,830,641,273,911,339,905,253,620,989,143,687,733,560,762,601,938,433,884,
181,356,919,270,436,325,137,673,531,715,586,577,840,363,883,831,486,189,024,
840,987,145,010,400,715,318,385,811,342,840,144,660,828,618,939,533,672,628,
897,643,221,787,666,974,487,451,002,550,220,374,926,072,936,130,519,139,512,
038,216,723,638,987,200,348,825,264,790,307,966,089,087,553,801,314,274,163,
069,333,705,655,490,583,786,920,276,912,229,176,202,577,314,684,082,560,672,
114,012,897,585,360,241,625,376,986,737,467,596,083,590,953,288,917,593,523,
626,575,927,063,008,873,473,060,894,072,415,922,754,399,444,502,191,620,567,
379,517,669,166,190,535,974,048,713,285,260,618,850,229,104,300,830,269,556,
430,150,859,362,291,234,957,127,206,972,255,902,675,817,661,906,811,558,256,
702,717,898,206,161,829,986,893,594,905,684,388,639,022,243,206,890,922,433,
462,539,963,251,514,419,669,062,720,150,840,416,134,923,811,266,351,948,727,
381,816,790,356,574,188,718,922,581,868,996,053,035,457,452,253,402,556,899,
965,439,026,696,469,613,151,227,774,850,806,843,315,215,298,977,781,405,620,
610,701,628,108,341,640,669,794,340,858,328,283,063,490,282,863,911,568,472,
624,818,347,469,204,274,392,043,465,428,984,195,607,278,082,607,397,481,079,
983,150,259,492,579,670,348,184,924,279,744,050,494,196,544,824,997,964,260,
354,282,520,573,245,758,243,409,963,751,916,384,095,801,072,766,756,022,986,
077,988,916,728,723,921,344,522,968,517,156,410,194,164,768,381,531,408,924,
422,749,790,457,662,457,953,309,391,760,691,653,958,982,949,148,481,756,583,
782,294,335,161,569,066,553,384,753,250,435,769,437,333,972,377,709,719,707,
158,159,103,468,323,366,594,781,621,493,601,728,034,167,166,507,511,606,248,
810,777,506,964,398,056,451,713,469,034,660,379,251,043,884,472,410,030,711,
458,273,519,697,400,802,542,111,365,420,698,374,365,753,429,748,646,533,604,
425,946,796,103,967,036,464,797,071,196,704,719,419,828,071,697,381,790,201,
012,304,679,748,658,473,561,392,051,824,348,331,704,644,325,728,364,057,631,
446,782,892,260,900,087,140,171,465,700,028,843,164,467,268,080,174,722,811,
117,103,287,310,868,223,858,413,452,830,342,114,178,042,312,745,041,524,082,
709,868,192,041,426,892,658,824,778,106,596,426,890,478,349,648,894,827,357,
972,570,443,015,900,108,558,148,195,890,044,177,960,589,296,039,449,998,633,
210,762,906,623,871,939,268,997,036,940,237,087,988,176,995,774,184,219,308,
394,738,573,127,767,151,277,047,643,595,098,054,072,447,744,403,759,496,521,
632,519,731,454,395,413,171,713,021,670,167,794,647,738,762,857,329,025,142,
516,142,091,919,326,143,423,372,294,565,796,398,928,597,498,515,253,114,686,
322,319,776,118,708,411,687,911,325,282,367,895,646,231,934,138,858,901,255,
142,408,210,757,304,986,843,645,706,348,720,670,533,904,696,572,104,338,475,
235,554,177,431,854,038,888,536,884,294,822,849,258,852,577,751,979,574,918,
252,028,322,120,546,380,472,965,642,995,300,258,910,817,963,804,112,513,225,
348,017,797,603,044,130,558,961,394,581,854,655,362,647,694,224,200,061,305,
700,794,792,632,502,166,601,870,175,070,890,959,026,780,929,231,832,872,509,
962,108,073,341,353,501,113,114,866,925,877,327,434,535,529,710,095,943,722,
725,058,823,810,768,040,276,099,546,971,141,273,594,291,104,384,919,620,160,
912,174,808,435,572,691,529,645,992,026,770,403,574,638,921,836,426,923,021,
922,462,435,101,501,008,556,207,153,519,694,835,994,920,723,178,017,473,156,
628,628,149,843,242,550,153,409,876,172,206,217,644,341,277,083,682,584,488,
325,021,949,973,740,656,131,969,227,683,257,397,372,902,190,989,699,271,929,
782,935,979,177,816,331,010,951,972,026,497,847,669,842,408,404,695,785,067,
120,477,523,625,713,781,732,472,127,103,404,995,511,515,410,290,502,577,059,
359,182,883,293,119,638,642,642,994,474,718,500,267,913,886,194,240,026,599,
488,048,483,559,679,727,359,116,169,031,655,461,507,671,391,570,862,218,242,
117,543,386,966,701,113,102,730,434,063,530,072,277,077,061,822,861,895,740,
988,601,673,166,553,584,693,014,690,242,448,192,142,813,059,953,469,124,280,
831,881,347,569,305,039,311,493,085,908,194,306,330,048,485,716,734,778,293,
218,656,167,828,996,318,130,881,015,023,796,644,751,598,044,383,357,507,405,
964,340,657,812,859,946,405,557,865,689,990,768,420,749,662,715,919,832,019,
855,395,170,062,869,443,350,487,288,243,208,024,697,718,880,527,071,475,025,
437,872,611,330,927,991,383,799,687,183,720,082,776,272,027,349,077,321,161,
395,318,785,253,205,590,496,154,366,974,956,308,780,660,512,805,576,979,516,
948,387,903,326,605,990,940,864,542,814,026,255,319,396,881,883,609,094,521,
120,836,891,056,373,190,548,632,426,810,002,316,642,912,729,238,925,538,194,
463,148,094,251,034,887,864,952,408,982,555,365,744,653,995,755,439,517,944,
896,428,598,737,215,358,194,558,914,016,556,894,216,837,973,988,341,945,361,
167,839,144,015,975,082,436,991,727,980,631,113,190,635,292,133,395,315,888,
004,647,793,954,126,403,251,126,309,401,084,102,744,276,253,483,054,322,641,
467,900,336,756,027,003,052,250,383,605,642,091,973,095,941,395,904,124,428,
654,712,468,236,143,607,285,971,024,786,750,230,042,859,251,357,106,633,466,
901,233,873,368,073,420,987,834,783,208,875,274,761,563,617,534,075,550,298,
888,588,064,138,356,398,182,106,216,332,087,805,115,059,375,185,612,657,387,
754,997,224,893,800,751,827,129,567,180,190,458,707,086,887,672,507,073,124,
778,381,753,194,975,890,711,266,603,230,615,293,151,874,072,901,873,261,373,
852,499,114,692,945,581,146,024,045,126,837,845,263,380,993,832,601,946,726,
496,748,572,328,111,254,189,661,895,015,285,714,580,615,977,856,716,822,120,
072,172,893,441,444,157,278,077,408,314,346,318,080,348,408,583,895,815,531,
941,761,641,329,101,238,532,872,118,497,494,424,167,727,437,923,337,334,949,
038,308,167,120,044,927,376,531,141,388,520,430,469,617,653,878,608,651,626,
766,127,240,128,325,668,773,295,256,841,515,643,284,520,057,840,040,081,769,
390,984,368,646,932,423,298,078,799,730,597,013,422,235,098,465,179,362,469,
239,629,101,832,327,483,647,700,229,915,318,150,015,803,512,944,372,504,621,
025,118,642,483,397,564,911,771,186,384,413,104,575,118,402,984,953,290,996,
075,269,221,397,480,288,206,342,876,290,019,971,189,118,928,507,495,092,460,
341,183,640,281,706,774,073,362,711,786,987,599,102,046,286,502,692,815,860,
589,492,104,807,062,051,682,401,575,103,236,211,727,432,679,431,513,897,452,
166,139,937,320,152,448,793,695,918,065,802,194,473,216,605,419,751,704,726,
292,630,929,002,482,038,568,523,005,276,831,615,911,282,578,063,005,853,836,
118,742,730,565,107,935,136,644,974,646,752,727,099,550,074,922,415,099,701,
035,304,892,446,529,904,920,987,975,455,807,804,616,850,528,308,800,320,266,
260,522,398,634,857,466,090,836,336,782,349,490,268,686,037,140,487,801,282,
273,742,953,322,162,242,084,022,280,136,426,215,477,036,509,347,583,155,787,
768,227,564,292,848,118,219,623,343,204,955,701,631,798,887,169,962,201,051,
456,051,095,564,211,995,372,012,742,094,603,518,273,789,339,958,571,639,494,
144,934,334,725,878,387,395,603,424,472,427,366,236,158,697,730,313,790,007,
569,132,931,267,533,718,993,286,348,395,621,161,642,390,734,078,772,208,670,
628,462,223,346,952,051,670,002,357,570,422,519,548,571,138,893,104,697,919,
621,129,256,465,316,309,974,954,692,694,558,545,769,455,077,033,177,099,098,
031,661,706,772,414,453,026,964,043,851,073,650,588,733,218,869,601,539,086,
567,564,895,032,678,140,356,239,454,408,687,947,104,603,742,996,831,502,509,
566,266,705,061,484,202,680,274,883,282,168,790,967,056,265,480,661,083,304,
933,780,394,800,141,168,173,226,415,732,824,552,686,937,512,659,335,824,718,
426,409,982,761,398,189,587,173,842,364,808,325,038,097,331,749,927,635,908,
480,669,009,614,028,137,939,732,504,327,480,734,144,068,285,110,106,383,666,
722,195,070,139,971,056,000,416,701,397,435,809,021,350,084,648,619,818,099,
429,845,782,474,703,669,746,960,125,190,353,863,492,789,130,557,424,274,765,
568,717,487,010,352,285,923,784,011,843,835,955,551,090,686,109,790,532,786,
144,080,881,447,312,603,596,581,873,981,659,341,470,994,403,502,588,083,095,
833,043,354,088,306,777,370,832,030,806,542,918,001,026,564,059,084,008,523,
691,186,537,734,442,901,568,786,888,567,797,768,209,306,671,884,254,154,885,
245,807,866,090,728,557,630,105,076,069,343,401,785,400,326,629,176,284,672,
870,048,379,116,227,674,953,798,752,960,973,433,004,496,646,640,765,725,879,
676,625,376,395,709,719,427,342,909,044,155,944,395,317,725,397,055,632,686,
712,896,045,455,753,255,017,977,987,937,786,589,041,774,226,372,135,685,417,
090,586,529,189,968,353,975,797,671,517,105,950,046,169,146,844,670,154,806,
744,084,066,077,768,306,851,831,025,049,132,077,943,300,976,186,142,338,822,
356,682,008,939,542,486,487,437,672,907,377,623,243,042,709,116,830,956,297,
688,021,772,279,567,156,233,274,671,034,521,824,579,970,092,538,028,635,687,
841,800,513,162,429,524,550,474,986,533,913,984,497,681,290,083,332,793,231,
405,023,762,547,336,607,308,642,157,337,514,180,543,035,480,853,294,611,219,
069,456,266,928,899,512,485,782,064,200,106,590,569,840,690,671,272,533,015,
486,959,157,160,454,149,021,405,286,231,126,906,438,437,431,763,216,860,999,
636,875,202,722,300,079,148,258,649,879,940,519,620,993,064,506,513,215,573,
719,471,495,790,574,789,630,921,684,814,873,733,559,035,124,410,221,415,219,
285,142,080,336,622,535,437,665,192,324,346,519,354,181,838,683,711,535,381,
425,922,187,809,043,035,710,258,829,281,133,626,604,467,708,964,563,788,747,
416,704,769,879,285,904,989,457,489,999,934,111,650,992,112,646,593,517,519,
585,306,405,783,046,925,493,737,367,451,750,206,044,775,736,073,190,337,296,
277,579,593,584,141,644,212,962,856,237,722,515,214,225,370,760,683,550,241,
898,782,112,664,697,816,034,183,323,577,996,744,175,836,783,265,455,366,314,
414,354,782,206,598,404,183,900,610,983,276,424,368,650,156,403,906,144,086,
883,129,610,486,147,125,933,558,309,901,254,590,853,568,779,659,470,238,004,
234,753,101,683,787,953,158,933,185,289,831,897,575,208,140,411,538,661,155,
902,864,317,582,269,358,655,409,078,936,120,538,091,626,695,781,316,037,946,
625,990,009,953,340,389,376,563,900,510,914,760,679,346,189,634,570,030,311,
057,547,971,744,243,524,830,899,540,583,134,725,713,348,046,786,212,751,967,
031,718,316,511,839,717,433,144,112,870,582,127,617,819,394,574,923,849,597,
349,231,263,448,714,248,563,019,822,172,725,068,032,434,867,077,426,002,364,
198,214,488,459,795,780,156,659,979,359,835,101,674,286,332,340,310,179,268,
223,685,616,486,446,250,183,433,281,186,001,809,331,450,220,304,584,119,395,
084,562,216,368,708,737,684,986,977,067,864,178,036,328,078,339,952,039,076,
159,932,420,569,185,241,564,454,290,651,651,336,253,786,484,800,922,696,754,
406,382,654,003,275,344,669,967,960,209,139,905,153,441,052,900,391,176,727,
314,874,172,127,544,956,988,898,889,576,656,451,530,078,423,947,088,068,457,
910,724,671,412,739,936,718,973,361,736,406,529,753,324,482,176,316,304,460,
954,072,283,027,431,660,961,982,832,760,934,974,606,078,112,735,978,489,639,
407,939,623,569,769,093,959,098,085,602,976,943,068,998,006,161,518,989,195,
746,766,470,429,524,650,018,307,537,058,587,467,183,002,498,300,705,806,429,
430,065,361,767,281,169,239,045,148,575,725,570,191,087,136,681,456,572,504,
643,592,597,451,001,690,904,615,441,452,769,500,429,572,813,265,257,405,095,
276,089,812,638,048,289,897,271,368,378,002,909,991,579,420,877,858,455,403,
415,306,737,563,727,543,150,752,671,750,860,933,981,873,121,658,397,212,774,
921,353,776,941,867,534,842,488,525,105,234,263,762,774,737,954,347,848,002,
409,530,390,856,972,281,568,824,298,192,365,353,793,574,510,074,713,367,538,
802,577,298,836,982,659,582,379,640,896,389,870,915,524,728,520,555,684,026,
438,417,011,423,220,029,180,617,271,379,927,150,698,098,596,384,404,309,582,
881,554,395,170,899,471,764,159,037,416,966,072,326,580,823,103,414,111,353,
036,874,972,027,124,654,301,400,126,657,699,794,891,923,879,010,562,801,553,
526,254,342,274,285,865,402,220,983,094,489,196,035,524,231,791,084,983,380,
092,201,680,058,637,648,967,592,523,372,188,627,281,305,855,647,834,084,937,
894,855,071,569,250,176,226,551,495,250,546,312,770,179,334,766,126,570,712,
552,856,611,065,760,628,408,545,657,994,538,185,267,764,914,030,502,135,853,
445,240,740,880,165,670,160,486,837,110,537,308,541,004,423,049,009,631,516,
626,219,115,751,999,756,203,820,538,119,791,469,444,940,679,372,603,682,166,
641,980,478,304,135,703,525,014,541,165,138,915,109,362,808,721,332,484,628,
759,011,340,909,589,439,302,453,255,836,697,614,349,310,578,271,388,327,641,
333,937,334,449,050,668,931,067,654,311,751,155,996,756,070,833,520,073,462,
777,272,100,174,668,803,775,795,588,209,541,605,646,040,474,451,494,521,692,
139,372,965,970,287,660,775,721,361,814,675,995,077,301,666,866,475,177,277,
845,442,766,925,727,719,784,171,277,210,466,779,465,668,114,812,057,298,901,
994,360,817,450,782,691,584,410,936,196,573,699,652,514,616,412,161,031,830,
482,735,785,256,769,463,075,190,467,345,284,775,867,974,772,469,514,436,339,
885,407,035,174,789,695,480,495,905,375,423,088,494,766,648,951,672,451,844,
086,689,281,131,315,453,529,918,198,472,981,614,710,082,785,838,091,003,428,
541,065,758,598,029,380,512,885,855,442,522,071,082,219,129,892,066,189,211,
928,458,472,940,133,096,870,222,515,358,270,230,004,106,907,058,458,447,132,
113,381,692,535,327,135,769,279,739,022,714,800,949,266,819,451,394,488,358,
251,413,195,261,649,190,727,259,657,946,093,618,635,919,321,197,817,017,152,
934,879,912,752,300,134,710,242,012,774,067,635,531,299,844,757,092,204,501,
082,117,080,238,713,221,631,789,684,807,992,631,003,208,220,029,546,629,685,
491,789,459,634,327,134,796,742,635,405,497,083,246,499,011,308,858,688,995,
838,284,867,738,480,140,622,961,380,821,085,272,157,239,486,708,239,314,354,
286,039,112,764,086,006,663,523,218,928,497,471,973,194,942,804,030,612,436,
081,269,267,235,052,133,650,951,180,577,953,757,782,735,146,924,208,976,534,
873,952,280,274,981,050,091,158,819,416,761,163,892,873,694,199,057,440,310,
410,605,183,146,405,219,100,253,565,530,932,429,298,327,056,512,907,234,987,
416,077,180,652,933,127,276,205,710,315,846,622,361,327,278,978,946,139,087,
117,360,667,330,928,998,279,228,563,387,464,004,573,607,668,359,282,601,659,
526,310,025,495,165,109,270,282,006,282,040,765,414,900,423,212,532,921,128,
184,279,804,364,198,139,268,559,178,090,802,912,430,954,269,240,921,982,832,
659,181,834,958,908,040,945,297,545,163,912,714,343,822,957,396,711,232,936,
205,844,857,148,834,225,515,904,847,913,218,612,817,536,322,152,521,737,745,
047,822,900,043,283,068,731,444,218,681,122,190,450,592,615,093,398,915,549,
074,697,307,597,464,676,742,518,172,746,006,524,732,757,275,179,832,680,289,
613,953,704,574,567,259,421,247,976,649,499,620,694,080,493,042,640,349,094,
475,724,078,535,746,855,530,606,532,779,631,925,824,561,110,048,152,238,944,
018,748,875,559,087,091,757,311,555,886,773,404,318,016,816,077,906,447,780,
970,628,613,776,939,084,868,011,387,606,301,585,312,606,563,777,773,941,110,
115,017,385,376,909,160,895,886,571,462,911,380,094,028,692,457,983,237,035,
422,418,482,708,625,261,414,688,947,263,364,154,715,919,630,328,124,292,492,
380,880,744,346,795,460,237,988,745,105,665,382,717,696,013,945,064,787,699,
068,489,918,332,326,493,754,579,348,298,360,363,334,352,115,487,477,625,596,
528,862,610,058,885,682,127,780,665,711,358,586,432,382,228,885,614,102,613,
416,152,138,645,931,570,126,612,450,311,697,423,500,026,441,849,582,379,218,
800,880,159,748,463,581,359,289,345,607,032,320,898,733,219,287,462,263,418,
126,154,888,044,192,177,381,052,900,383,088,209,588,744,737,666,838,842,990,
150,016,584,607,809,806,176,701,962,291,502,381,004,122,657,850,206,731,024,
029,821,771,399,698,926,537,335,158,343,975,820,833,918,957,105,581,756,383,
110,170,822,393,150,138,521,572,152,557,000,160,907,710,741,402,516,627,356,
881,726,143,021,473,507,926,903,279,756,694,233,904,600,815,187,036,783,535,
425,056,400,614,477,642,425,131,711,220,731,288,321,294,078,380,295,220,278,
071,595,904,609,633,372,976,454,410,912,171,025,995,156,570,510,345,550,003,
256,184,618,525,315,099,044,237,434,552,464,550,234,138,935,706,933,964,405,
841,959,862,632,882,851,591,120,335,136,034,351,911,544,356,849,419,769,337,
659,506,691,671,569,499,420,192,216,186,570,850,654,145,473,889,285,749,191,
469,635,580,803,665,291,291,793,306,871,519,946,580,235,130,328,533,557,003,
635,508,292,910,786,560,092,898,291,947,093,387,587,690,093,654,745,160,358,
525,090,476,581,119,016,492,431,520,586,152,694,142,035,171,775,139,897,376,
125,092,733,540,804,387,028,002,641,901,920,689,189,964,255,738,348,404,693,
868,546,834,060,439,284,666,050,358,938,993,664,119,822,677,296,593,434,536,
831,125,560,412,269,859,227,137,924,250,832,468,032,290,576,318,507,124,300,
567,847,916,307,519,930,021,251,785,910,592,801,662,425,446,594,372,325,067,
801,540,475,036,811,837,290,555,638,103,566,066,461,945,668,013,633,130,954,
355,476,248,569,847,499,749,957,437,513,576,119,243,955,526,137,074,199,674,
509,548,113,657,920,594,914,339,274,958,273,027,972,892,364,726,389,998,736,
786,394,865,471,250,311,041,476,524,753,576,940,290,516,832,218,540,463,257,
372,067,353,888,903,680,030,999,713,879,098,322,881,899,466,406,977,933,016,
749,654,645,413,583,345,186,172,243,407,607,218,866,481,342,751,790,215,152,
401,120,539,869,182,107,501,139,231,582,302,882,805,461,111,218,159,359,865,
137,608,723,862,093,058,081,365,003,723,515,047,369,280,313,913,905,840,438,
149,528,698,542,390,449,151,380,551,455,611,845,981,836,220,985,151,721,063,
047,052,634,359,321,657,478,492,746,729,365,985,043,666,583,154,291,612,102,
901,956,163,721,106,581,621,757,756,181,890,126,828,203,725,947,707,818,276,
706,239,495,537,394,578,799,297,587,361,560,874,424,311,228,892,146,779,933,
400,827,486,852,700,074,484,068,383,959,198,196,771,095,542,722,851,850,089,
209,871,072,300,931,432,651,730,769,600,112,050,505,951,481,368,803,752,566,
935,305,221,654,857,020,696,153,255,884,955,852,589,089,512,699,378,782,507,
979,135,274,853,195,752,834,464,477,882,818,981,852,204,825,019,966,534,879,
847,467,817,617,354,572,667,888,171,019,589,299,024,669,402,157,961,660,823,
660,671,555,806,300,592,831,173,428,017,802,233,899,062,241,096,117,938,398,
705,303,924,452,915,382,172,058,316,570,072,709,822,198,460,703,717,550,950,
912,131,796,674,647,442,924,734,672,958,801,747,837,320,259,749,136,189,693,
815,956,362,233,902,129,601,081,219,218,079,795,829,372,747,817,508,002,180,
470,760,444,010,224,762,136,831,062,537,856,567,827,145,379,657,179,891,498,
576,086,750,218,630,456,297,304,324,938,866,607,314,839,067,726,889,893,465,
857,508,496,813,406,078,714,125,203,913,692,324,681,061,762,329,643,577,386,
096,192,329,584,974,028,575,364,978,003,934,884,710,900,462,212,880,997,796,
359,328,332,532,861,609,633,484,543,341,799,927,795,108,204,133,432,985,335,
326,178,461,102,548,660,330,825,648,907,130,697,818,571,830,525,014,692,249,
298,487,083,012,215,005,816,080,069,532,740,135,079,712,046,658,257,870,500,
951,345,114,341,389,251,103,676,203,283,513,411,573,987,857,077,313,982,498,
488,590,046,508,293,460,209,895,311,716,896,793,263,045,591,055,370,695,552,
411,381,438,154,114,425,947,279,229,289,492,638,431,080,907,499,456,001,085,
328,408,589,961,889,574,570,560,448,288,738,308,701,302,542,919,408,366,085,
864,825,585,428,789,849,513,433,725,596,266,237,481,292,948,158,243,587,620,
461,634,090,853,532,849,417,331,538,254,838,248,596,781,800,202,468,372,536,
332,184,661,583,443,257,609,868,895,518,940,274,683,514,713,506,508,918,722,
244,624,389,166,042,789,084,764,016,588,458,532,411,232,872,279,804,489,840,
827,984,533,274,803,528,010,650,669,246,490,295,318,128,309,168,839,107,903,
689,086,046,856,465,950,500,811,363,147,628,298,682,803,874,194,927,929,633,
809,381,689,669,789,794,920,299,331,734,124,296,653,770,114,824,005,863,096,
176,354,940,721,505,933,307,787,797,019,000,318,629,926,044,711,879,694,152,
202,872,089,761,756,964,133,670,571,248,935,126,727,495,461,672,715,905,062,
852,489,896,020,317,330,044,798,951,906,612,537,908,070,628,752,673,902,702,
132,005,946,206,819,278,762,688,617,700,144,456,806,441,244,554,344,782,033,
120,516,878,295,658,468,142,014,603,314,057,805,037,496,211,362,618,180,332,
449,417,398,810,092,465,926,792,044,127,499,752,640,053,627,045,312,986,028,
712,156,787,088,125,058,081,965,219,971,966,020,521,583,242,350,128,533,016,
081,053,186,017,177,508,446,423,023,990,139,742,558,148,503,015,008,166,637,
193,649,882,563,705,616,435,718,187,093,553,271,619,278,023,929,122,276,434,
796,286,098,237,962,225,557,626,897,597,927,338,827,500,093,093,190,672,367,
846,247,504,265,376,398,943,782,137,235,363,937,023,937,224,945,967,778,612,
825,572,705,388,630,679,891,987,698,524,159,968,159,162,731,796,820,301,540,
494,801,816,718,559,055,228,306,280,598,066,131,805,688,220,867,696,456,723,
934,490,883,345,595,706,497,198,384,435,187,197,506,762,674,769,315,361,880,
049,632,637,646,868,814,435,226,040,251,169,303,155,121,635,585,639,301,004,
929,812,653,010,549,401,873,330,843,885,387,461,061,803,642,568,592,980,863,
620,588,547,819,692,263,879,301,124,460,227,580,672,882,359,418,070,819,526,
376,835,025,237,682,085,740,342,143,513,831,242,397,726,359,974,307,251,960,
434,418,578,540,111,484,885,043,254,942,462,289,123,143,856,796,649,963,334,
386,419,483,356,765,471,178,141,661,703,345,206,885,952,271,545,933,762,942,
455,174,549,628,967,155,450,158,915,713,438,499,789,187,538,666,344,058,933,
617,946,653,872,989,252,709,745,056,651,056,938,444,985,881,747,279,602,906,
201,540,768,585,344,242,801,510,107,767,789,968,208,685,853,192,990,213,999,
277,041,888,740,642,998,771,174,209,122,730,512,359,520,599,560,417,898,656,
534,144,274,699,605,675,351,691,060,299,942,715,256,790,395,335,640,664,745,
065,276,891,477,457,254,538,816,182,901,011,156,358,447,295,815,042,917,124,
518,022,599,345,111,134,457,686,621,239,634,361,528,102,060,437,080,560,916,
625,162,256,175,067,886,313,405,012,934,231,696,069,748,630,492,872,459,974,
354,735,619,640,708,476,550,845,808,564,333,571,452,264,975,297,639,966,492,
218,325,161,049,529,135,216,693,863,782,715,981,456,328,496,769,392,853,268,
134,335,327,309,886,548,421,312,316,461,927,729,314,387,116,889,604,028,200,
431,948,448,219,772,114,597,055,864,947,545,818,599,426,542,091,112,687,054,
895,438,411,776,637,958,233,980,300,079,619,588,441,088,318,012,057,636,560,
227,350,574,770,302,658,701,337,915,276,131,958,111,860,209,170,731,835,556,
544,023,120,930,134,718,348,520,356,555,869,857,194,563,713,281,805,761,139,
622,364,415,111,406,077,619,901,178,151,492,631,206,506,650,260,969,705,528,
973,037,287,526,417,215,307,592,250,994,466,940,309,102,477,214,895,956,967,
725,964,373,253,816,986,878,866,506,726,848,798,086,743,067,311,793,999,301,
410,525,290,204,386,893,215,274,285,084,353,976,901,656,074,062,156,069,765,
304,631,605,721,219,855,666,556,551,809,158,142,315,584,736,591,516,914,269,
377,294,790,551,112,507,257,729,765,498,104,256,579,931,669,289,859,471,214,
766,540,173,153,376,338,297,337,759,157,329,669,199,648,025,321,966,365,150,
368,618,639,675,587,633,081,095,203,504,895,236,257,224,179,558,931,495,806,
731,012,094,333,522,292,222,181,540,309,207,159,630,089,193,524,127,446,370,
411,241,810,147,955,314,945,760,837,719,814,365,991,473,078,975,525,358,248,
579,207,781,845,214,576,685,148,629,058,222,844,821,361,702,338,584,413,507,
066,478,454,262,288,260,946,365,964,842,872,703,815,175,883,363,708,969,197,
463,149,512,718,934,604,006,100,014,470,811,843,651,187,722,748,399,110,450,
144,483,039,581,499,848,000,476,086,711,859,384,048,071,418,187,983,086,769,
417,900,887,869,603,629,587,007,978,623,876,482,044,831,290,894,829,702,443,
239,135,969,546,516,687,242,487,356,330,403,828,197,714,279,884,816,344,337,
741,103,738,524,200,738,012,761,647,271,633,030,165,926,461,919,861,593,232,
344,015,006,466,182,160,375,251,995,939,678,195,410,567,763,232,412,600,295,
185,396,585,605,751,145,451,184,743,389,291,647,797,009,155,009,642,716,141,
123,279,015,617,988,770,451,486,882,830,902,873,913,653,153,014,163,290,152,
678,728,426,676,428,137,797,216,463,970,720,317,979,500,280,741,750,482,324,
936,551,422,703,718,939,497,250,777,090,316,351,092,250,679,900,680,958,630,
334,327,311,509,741,244,816,592,802,945,672,731,108,231,229,157,513,044,651,
228,170,486,126,781,692,390,764,172,194,470,617,117,834,552,338,414,793,251,
201,690,553,691,347,963,241,389,217,452,904,649,971,356,266,949,377,384,297,
409,838,592,263,825,878,281,258,373,721,111,060,629,367,255,942,295,595,834,
569,197,415,839,597,603,996,972,114,797,858,716,538,486,303,608,248,217,269,
039,775,096,253,124,037,298,537,601,306,451,978,093,445,418,880,255,383,473,
527,462,426,667,869,007,311,091,813,466,505,929,820,504,414,103,631,571,837,
559,261,996,981,332,697,926,893,887,333,929,045,984,255,087,064,007,319,165,
115,652,942,458,355,418,090,811,025,828,842,576,990,471,919,241,687,079,367,
088,691,792,680,813,411,119,149,518,956,291,356,718,104,369,761,056,920,544,
246,596,146,786,700,348,999,449,991,400,735,445,950,980,658,389,933,336,999,
362,481,992,582,617,167,246,864,028,471,317,829,330,315,078,334,111,600,386,
798,792,577,170,742,040,906,884,008,690,840,909,935,533,833,468,679,624,627,
335,211,185,656,162,942,671,458,440,939,953,044,347,466,765,335,992,241,592,
721,452,167,872,476,267,595,581,839,420,723,427,912,439,978,469,820,120,768,
701,909,938,213,418,472,765,898,306,502,801,835,906,798,790,409,698,407,370,
067,440,795,140,342,777,336,318,626,138,800,205,314,620,959,776,435,730,673,
994,383,339,181,525,459,731,541,163,166,570,426,612,863,582,718,910,363,834,
228,797,416,278,945,025,564,698,833,447,040,811,015,765,668,112,430,599,130,
057,844,360,447,490,909,571,517,706,665,301,898,002,451,701,825,453,384,639,
756,133,983,216,428,964,493,822,657,747,720,707,154,346,298,810,673,132,616,
426,929,588,835,383,459,333,246,247,160,822,146,605,734,155,502,194,034,152,
822,838,999,720,261,279,357,865,008,181,600,315,147,418,094,803,797,850,015,
635,535,960,886,092,324,915,278,478,140,839,657,878,262,457,844,216,602,576,
737,377,389,131,980,015,980,496,839,320,710,287,230,048,152,160,575,962,886,
457,591,156,267,134,875,472,682,376,413,932,786,242,458,479,391,447,763,134,
713,313,855,073,974,925,243,210,267,871,751,052,080,805,435,001,400,119,361,
595,406,567,010,310,174,330,496,834,618,045,627,630,213,721,518,284,617,602,
008,610,653,367,812,988,857,045,454,733,339,120,050,448,525,746,312,942,325,
964,176,048,699,733,724,062,277,391,552,582,623,551,574,826,469,375,863,524,
403,396,793,695,636,036,565,339,400,157,241,658,739,245,343,208,725,451,811,
843,304,989,681,348,701,667,524,661,370,269,351,731,008,104,377,099,247,668,
737,342,255,352,722,660,461,792,956,554,851,214,984,520,483,632,143,759,311,
833,871,008,509,223,243,905,819,065,431,286,424,864,167,674,113,831,822,493,
603,933,726,888,152,118,023,260,335,787,195,707,145,052,822,985,599,897,945,
029,079,387,795,307,528,240,132,027,384,625,131,543,179,022,549,598,963,650,
326,240,574,636,180,163,179,261,893,619,155,296,643,202,200,727,869,144,348,
840,115,784,271,757,407,798,596,820,906,373,599,587,978,650,270,088,499,786,
884,738,905,458,406,195,278,263,544,749,047,543,926,493,389,211,988,908,489,
803,717,079,925,985,232,290,068,155,609,759,501,066,200,194,593,883,138,893,
748,007,859,349,708,442,808,673,958,917,395,794,059,392,039,131,276,037,821,
766,880,887,091,768,793,309,054,076,693,429,982,601,273,315,668,264,566,717,
863,181,904,247,524,982,546,679,202,690,394,131,624,387,147,747,482,072,635,
580,002,500,887,253,682,329,376,836,521,981,044,038,906,412,275,173,079,308,
420,204,305,821,149,999,243,517,029,810,057,630,516,758,343,340,434,554,159,
784,150,727,501,407,339,897,802,620,095,097,512,671,854,475,666,095,890,418,
166,402,729,377,524,047,772,310,176,644,591,589,273,208,289,838,796,375,755,
910,285,505,992,945,002,443,554,224,416,072,649,980,833,091,947,576,846,576,
202,652,288,667,820,842,546,104,570,966,878,849,923,868,889,133,680,079,590,
704,153,217,056,909,565,492,421,967,639,504,044,035,530,457,647,310,937,804,
604,867,348,870,306,064,568,937,930,332,020,333,213,680,159,065,497,163,703,
790,494,171,569,038,412,640,878,163,385,323,676,264,046,718,430,413,170,445,
772,889,863,002,858,555,012,929,941,864,393,164,056,069,455,481,967,403,675,
346,903,376,811,651,253,327,759,870,560,918,368,419,781,635,250,374,920,624,
265,949,141,992,475,228,015,468,706,732,016,803,514,275,665,700,284,425,523,
614,581,709,200,150,804,705,983,616,620,216,751,495,678,962,953,184,116,967,
281,857,494,121,532,781,768,054,850,238,822,270,381,012,783,986,705,171,493,
155,980,741,526,034,989,071,985,663,207,753,798,392,846,541,715,988,601,746,
712,223,818,699,171,661,111,480,870,990,416,880,171,845,879,705,285,647,692,
851,845,042,701,046,897,059,933,399,713,452,435,070,489,279,289,825,735,847,
897,954,887,020,107,047,461,416,107,070,955,093,348,366,343,662,235,352,400,
258,255,243,625,556,967,729,931,390,091,553,208,204,613,807,836,275,330,869,
271,216,999,276,558,976,297,597,529,270,819,110,943,058,928,714,468,629,045,
763,849,135,640,789,315,513,053,655,768,263,995,299,512,621,270,100,182,955,
528,454,543,178,511,683,510,835,713,451,176,896,288,947,178,542,398,643,508,
125,195,252,641,475,029,160,028,860,782,577,068,326,025,001,118,863,478,167,
295,996,251,890,594,592,581,745,668,945,868,220,370,034,430,997,728,428,488,
726,044,403,328,954,283,256,384,981,199,068,897,962,326,659,063,369,049,235,
815,828,493,485,962,900,114,648,570,779,823,716,483,902,500,752,075,812,817,
411,525,555,622,413,903,789,975,075,514,211,017,544,203,111,565,456,254,346,
405,815,952,781,263,265,861,916,319,975,799,153,711,296,024,160,794,674,804,
075,148,599,038,881,411,088,632,746,258,019,842,865,297,100,689,586,072,269,
637,886,342,160,696,466,260,101,935,006,134,860,891,610,896,140,121,076,743,
092,304,146,006,590,254,807,328,527,044,965,620,455,235,980,714,692,584,424,
236,628,154,887,594,850,858,143,173,999,862,029,709,187,544,822,565,886,337,
045,314,281,451,033,160,796,760,249,397,010,076,737,109,062,402,477,820,134,
008,400,151,666,835,837,608,894,410,473,638,874,531,795,490,156,757,305,676,
983,141,579,354,114,868,298,955,729,533,758,604,633,769,488,787,243,268,479,
674,372,616,170,140,840,991,442,697,771,665,759,227,180,228,001,389,778,730,
972,786,510,288,042,212,587,020,593,579,524,567,110,244,658,240,511,959,978,
290,986,672,986,792,162,281,594,179,400,075,964,306,990,580,613,676,002,919,
275,560,275,539,539,610,079,283,214,356,476,822,660,074,133,657,518,876,205,
694,903,989,637,372,564,318,939,601,935,176,287,443,308,069,289,866,991,371,
892,885,785,158,677,657,441,015,163,469,799,904,797,515,307,736,920,789,157,
336,120,590,984,457,326,705,709,761,408,831,368,990,197,860,864,192,196,820,
199,787,763,059,408,456,225,319,693,595,095,337,575,747,325,176,413,728,792,
604,368,931,666,204,000,156,833,112,548,106,494,209,419,732,340,417,067,248,
519,855,513,887,254,664,624,711,059,417,402,965,437,722,734,644,814,317,909,
947,885,703,502,659,640,521,824,473,559,766,938,767,612,674,075,770,098,217,
469,229,333,581,167,001,764,959,926,177,675,962,298,315,485,537,774,396,925,
591,040,278,641,354,527,260,683,381,632,084,988,341,958,361,876,135,000,312,
385,016,247,555,575,346,258,290,576,198,089,234,733,114,245,924,698,077,763,
339,356,284,260,695,177,214,572,689,220,620,754,443,942,394,997,166,866,511,
910,636,346,263,263,395,788,823,157,718,953,554,983,523,823,870,909,832,505,
444,767,154,674,752,852,215,186,499,138,830,161,766,761,391,617,170,956,009,
736,003,010,571,876,171,204,359,561,525,106,164,452,149,600,965,669,665,240,
808,702,447,300,325,183,167,008,090,337,836,981,452,809,382,271,042,731,685,
167,918,552,102,934,996,879,706,044,865,391,861,255,131,953,828,641,781,430,
149,437,242,739,989,116,285,256,785,947,435,934,229,046,039,043,979,673,393,
914,762,448,272,345,552,825,603,038,075,971,855,637,862,277,175,228,051,917,
176,318,946,016,855,932,226,875,839,514,104,890,600,315,594,573,575,278,613,
323,799,026,235,067,857,514,308,117,481,020,986,229,908,173,350,938,415,257,
117,109,852,833,562,349,331,328,686,799,762,515,703,712,930,747,522,378,907,
119,342,343,620,291,098,559,903,757,881,467,920,535,056,902,837,615,908,312,
863,400,409,707,719,035,430,176,426,683,578,712,014,900,011,135,564,964,563,
128,093,565,271,404,201,231,522,516,538,717,905,248,930,171,841,116,195,043,
861,193,786,152,190,943,505,268,875,429,212,135,298,627,719,014,647,947,922,
057,620,200,851,868,884,683,105,136,839,422,193,933,162,469,927,356,574,919,
432,193,929,914,500,744,842,815,692,613,250,267,254,952,055,663,212,934,603,
139,344,295,547,640,535,096,421,788,799,527,914,865,329,806,362,253,925,664,
074,939,829,836,743,899,875,250,854,923,526,886,669,585,080,511,312,364,253,
029,504,921,546,712,626,785,304,647,608,011,313,944,866,832,677,119,774,057,
431,331,219,054,013,693,290,751,317,561,162,544,447,601,220,629,325,324,707,
126,623,305,857,807,788,884,129,169,110,962,467,825,078,927,141,706,820,084,
317,872,991,779,329,820,825,710,636,037,488,037,709,562,367,081,740,343,481,
196,940,415,440,267,050,063,869,288,454,945,045,300,419,517,297,612,602,355,
649,189,989,411,857,300,217,252,686,591,924,193,128,672,317,514,985,575,421,
135,100,086,188,037,930,448,753,990,694,294,541,180,242,657,375,598,900,326,
101,529,180,916,610,042,913,111,529,202,752,646,556,274,723,026,198,764,587,
855,248,686,365,127,080,657,748,291,909,667,138,398,657,196,714,811,231,409,
761,879,103,487,102,291,231,057,179,703,152,233,198,812,845,739,636,985,215,
355,741,287,136,803,497,204,598,655,551,141,518,598,938,017,100,407,253,853,
674,498,081,715,566,562,057,903,015,436,902,488,526,086,163,618,512,995,807,
144,394,291,969,987,468,414,121,160,303,583,906,628,006,205,055,623,247,401,
529,873,809,702,203,442,277,779,285,908,641,343,828,567,555,638,063,745,529,
154,086,756,611,405,260,892,008,244,052,711,548,599,832,476,965,256,726,195,
103,253,861,478,865,009,776,918,863,421,959,615,049,349,135,547,147,768,906,
129,762,276,327,986,804,894,074,488,574,617,782,766,975,739,674,715,966,505,
832,443,223,542,477,370,791,728,052,368,318,493,911,242,459,707,946,130,500,
107,779,213,930,097,899,250,921,189,671,679,650,302,160,923,680,800,163,461,
739,892,208,269,972,035,547,671,455,774,049,401,915,270,661,242,580,189,736,
037,714,798,786,637,617,133,849,888,357,559,882,111,081,079,390,897,464,709,
425,466,751,408,113,960,515,553,947,250,402,135,303,693,248,734,184,160,267,
660,887,772,743,980,998,467,118,666,898,712,193,915,507,645,113,209,701,837,
511,528,902,721,509,204,029,268,794,787,442,072,886,772,388,732,876,522,449,
478,392,377,365,242,482,910,395,819,330,145,429,588,225,376,017,386,779,401,
958,331,647,591,892,429,496,013,898,726,490,447,390,759,119,324,265,372,289,
969,131,869,214,777,140,962,760,569,075,450,777,031,827,130,466,653,549,214,
000,296,879,493,312,621,569,684,507,300,096,567,848,875,813,346,681,132,712,
521,362,863,318,221,321,687,236,710,916,424,015,691,834,446,154,679,489,878,
793,700,796,335,559,173,053,250,546,950,139,847,340,278,663,524,476,535,448,
764,176,009,535,994,555,426,943,058,905,907,443,632,459,481,587,946,170,506,
219,729,299,167,838,586,223,032,008,089,901,314,155,216,099,894,053,030,738,
766,409,934,406,698,474,295,826,243,249,410,990,176,964,403,870,156,531,987,
905,854,910,382,207,457,785,699,036,628,429,825,495,393,654,352,399,860,808,
948,402,446,710,414,263,524,365,222,309,228,431,471,500,544,657,311,777,969,
184,557,516,316,494,041,828,084,132,206,182,680,951,193,275,424,043,503,455,
264,043,401,467,146,976,646,896,713,061,610,307,811,001,221,115,672,941,583,
883,997,940,303,759,243,244,775,623,514,460,220,971,711,970,429,852,854,967,
270,354,972,145,711,961,416,060,172,086,249,813,498,035,538,781,308,940,410,
812,753,449,165,439,426,127,327,606,907,094,881,482,866,069,808,098,911,313,
033,234,317,636,149,043,262,711,426,022,168,104,343,099,839,254,876,923,825,
023,502,390,196,775,081,241,097,665,425,348,118,256,614,947,729,735,538,931,
935,388,468,168,213,217,183,339,725,382,629,705,332,783,626,920,997,183,627,
467,345,336,730,723,072,015,839,298,913,701,934,700,335,097,496,271,897,203,
945,113,586,503,688,926,068,753,141,539,089,851,305,164,885,657,376,447,725,
247,634,025,104,087,219,928,570,733,925,497,539,323,362,604,020,637,949,322,
142,461,981,186,840,017,407,137,905,417,979,080,773,284,530,568,526,737,338,
028,038,346,084,765,415,645,519,196,737,898,924,062,624,184,263,457,584,568,
396,584,898,174,982,190,936,659,561,661,314,366,498,353,489,444,137,837,656,
598,897,175,093,596,765,811,082,315,243,886,853,199,403,382,768,214,652,558,
390,615,342,842,938,804,540,650,934,701,028,724,874,027,908,242,177,870,456,
967,492,303,766,575,940,445,544,858,094,370,840,355,675,136,398,537,843,129,
529,766,485,610,507,426,317,509,795,086,574,255,528,668,248,942,559,566,956,
479,293,988,629,824,983,887,373,365,802,362,691,963,667,514,414,930,156,645,
016,207,115,784,911,559,258,005,527,489,281,177,916,843,391,200,274,210,897,
697,401,530,850,367,860,058,630,007,837,116,433,401,799,063,018,735,301,639,
425,658,305,120,245,265,378,262,677,287,100,582,322,447,696,638,643,787,078,
610,927,952,144,694,731,785,719,969,518,983,793,750,273,253,027,828,824,310,
971,025,195,386,067,319,894,948,701,573,009,658,791,636,007,373,362,198,284,
944,315,246,729,024,828,376,724,075,676,640,608,414,042,789,284,488,625,438,
487,242,727,798,224,892,577,652,741,551,256,571,967,695,403,083,109,345,251,
106,936,177,393,717,855,872,765,978,907,979,495,386,888,480,684,078,121,388,
899,592,840,536,915,673,475,115,831,431,624,172,223,339,085,839,738,530,827,
237,476,399,903,548,143,615,449,356,916,394,230,971,208,158,836,125,310,433,
473,907,967,105,725,475,193,796,214,340,210,535,039,284,802,274,436,487,736,
598,676,532,073,729,103,977,133,844,599,015,371,866,112,843,844,886,144,522,
354,596,957,168,404,343,763,832,416,710,074,700,976,411,716,742,976,258,670,
991,664,604,510,538,195,422,846,976,138,273,795,539,639,950,342,991,407,970,
631,493,198,980,704,977,142,742,758,869,188,746,166,406,576,564,473,847,482,
499,712,653,513,048,825,258,780,892,967,811,931,374,079,614,660,875,011,467,
589,819,985,451,828,520,997,926,178,490,287,456,529,112,091,970,086,171,279,
344,304,123,187,642,106,141,540,515,821,740,911,522,261,460,642,064,075,797,
179,827,426,955,750,119,682,508,815,551,726,316,149,966,627,838,091,794,265,
550,950,924,909,591,926,457,739,007,489,041,306,842,393,518,298,893,455,379,
381,875,949,847,330,468,436,080,978,857,189,781,036,783,476,117,927,881,457,
109,493,378,788,101,130,218,011,426,701,695,471,534,855,940,594,838,591,800,
618,749,366,477,003,983,231,093,605,603,425,505,551,679,441,186,711,239,761,
851,374,291,296,622,270,185,569,754,261,980,844,106,056,522,642,864,460,238,
833,888,723,720,045,350,589,941,392,226,472,297,868,002,677,502,461,897,453,
725,043,086,490,287,491,664,693,347,291,809,262,992,083,631,595,930,061,331,
835,516,261,234,185,526,839,036,046,519,267,292,259,592,420,950,585,932,873,
463,966,059,608,253,292,693,234,432,236,308,581,702,950,279,072,989,697,863,
789,839,377,975,647,778,631,884,262,598,273,736,738,012,961,994,026,842,733,
735,317,234,955,267,563,141,732,772,486,588,945,778,723,938,001,908,518,499,
033,278,265,047,413,515,041,593,175,257,494,429,723,490,796,030,492,179,199,
490,022,201,585,966,174,831,005,981,315,292,780,298,679,020,437,501,691,710,
688,511,294,551,236,759,811,253,649,019,523,232,078,505,214,732,594,242,891,
029,967,002,205,802,877,057,161,569,856,556,439,672,400,320,280,476,625,626,
116,419,846,824,997,304,690,649,117,646,419,574,547,463,683,032,822,123,001,
201,325,561,578,384,420,584,027,563,590,089,656,774,508,637,310,544,206,849,
240,266,706,996,216,213,932,886,221,860,666,438,384,380,112,202,878,131,210,
520,635,153,015,004,127,680,163,946,887,934,285,411,381,512,760,952,094,121,
431,804,654,216,441,055,072,781,404,626,326,998,012,722,324,876,473,537,133,
465,370,539,358,503,212,309,156,510,075,196,164,100,631,774,463,994,831,112,
944,319,780,167,255,228,429,498,465,221,610,810,046,882,317,181,710,539,099,
855,869,328,688,751,516,356,952,663,305,382,297,977,265,394,959,118,541,615,
176,321,288,061,402,958,457,169,915,798,151,501,960,352,477,642,349,523,645,
044,394,051,030,263,040,596,062,575,287,646,846,026,526,505,416,597,964,584,
275,439,450,755,664,968,732,593,746,570,805,812,701,388,010,467,932,632,934,
725,623,923,370,241,177,462,195,245,081,535,676,230,606,772,812,670,532,623,
275,048,856,517,286,567,504,382,510,432,978,576,378,547,448,907,760,665,410,
135,905,123,758,987,022,132,147,638,321,915,993,778,369,999,234,985,922,976,
035,819,665,931,971,480,091,724,733,436,381,387,476,158,178,198,153,446,915,
392,293,525,444,665,696,466,173,590,963,319,736,414,728,269,002,231,563,486,
683,683,326,301,035,698,535,614,758,068,585,920,054,970,868,732,044,042,388,
790,136,095,855,508,526,960,086,796,449,134,556,946,751,073,983,176,264,989,
668,413,700,759,076,050,729,833,056,887,077,294,541,100,196,322,368,229,434,
810,831,862,426,740,307,801,461,900,086,549,133,212,445,042,238,567,297,680,
581,851,812,843,542,900,149,851,082,986,642,145,415,007,259,128,693,236,623,
573,280,129,658,007,765,949,871,806,030,266,210,184,069,461,512,659,928,083,
539,557,665,341,006,076,015,127,276,339,553,626,638,816,633,917,524,372,239,
952,889,683,042,796,291,769,143,735,256,520,665,498,315,829,180,082,363,721,
367,661,414,408,768,729,836,330,515,716,840,737,168,432,675,032,955,882,791,
382,153,875,409,821,385,501,546,917,495,307,794,306,454,698,821,843,050,001,
053,976,736,919,497,661,904,363,023,320,816,006,185,351,275,145,605,184,855,
473,630,363,083,724,431,167,387,442,626,926,055,162,320,880,361,471,974,971,
024,385,175,173,757,209,720,271,529,749,669,156,553,351,280,966,468,856,316,
051,978,238,416,477,584,917,550,662,766,776,269,846,360,706,036,913,478,286,
332,758,202,899,697,248,710,952,922,460,126,334,557,306,675,380,912,794,652,
223,068,207,313,334,239,760,167,360,659,847,870,626,269,268,333,128,587,678,
237,947,423,722,109,318,359,137,326,847,738,885,882,419,704,258,486,394,708,
479,087,864,732,716,738,648,792,841,645,872,597,937,973,232,986,978,782,366,
026,302,916,713,992,189,431,737,280,579,727,557,584,528,501,699,566,448,189,
512,113,605,297,121,937,061,820,624,883,032,839,568,408,168,584,150,555,175,
138,725,743,337,001,981,238,900,743,956,463,326,281,454,625,218,125,450,400,
676,796,229,447,082,528,732,509,088,102,581,287,285,793,894,240,722,563,236,
452,881,267,420,549,283,725,313,605,527,387,758,916,125,983,433,843,332,976,
304,305,777,573,108,375,373,644,013,344,261,682,883,752,471,891,008,430,330,
486,816,708,693,668,193,719,359,740,549,636,145,977,225,116,681,531,443,559,
436,379,183,075,001,282,927,709,372,718,596,028,538,341,053,667,414,920,587,
037,337,701,913,999,217,541,299,372,521,117,114,740,843,746,107,172,463,224,
295,918,979,350,216,603,727,912,005,814,869,695,648,292,403,462,743,079,460,
127,362,171,748,684,545,674,175,756,060,129,250,956,166,790,780,981,748,302,
813,465,943,149,842,349,360,600,933,149,318,220,201,718,146,958,624,715,544,
770,710,454,307,914,813,698,486,329,538,068,069,707,185,242,413,978,068,695,
133,275,453,844,693,905,549,558,997,727,824,933,470,491,114,879,856,447,889,
860,752,230,556,084,668,809,717,266,301,319,260,651,044,463,508,799,534,947,
724,403,666,370,176,413,759,132,656,666,460,263,204,609,361,983,049,663,867,
992,730,703,574,491,895,464,522,719,677,641,696,298,311,954,648,277,649,561,
900,836,233,494,600,903,419,305,148,300,422,712,287,519,208,046,521,735,813,
230,788,472,428,356,156,250,824,211,079,352,568,338,592,042,314,888,749,313,
946,835,740,221,485,633,196,492,339,553,449,341,812,891,311,453,460,030,101,
930,963,393,972,235,537,141,488,595,046,360,392,949,914,144,401,776,488,281,
270,996,982,023,616,226,601,533,379,006,268,983,052,802,547,737,516,862,860,
251,001,973,198,252,797,202,310,903,764,537,688,776,311,685,507,021,233,000,
246,133,736,138,095,894,087,908,992,674,679,966,233,774,597,358,328,601,930,
053,276,804,020,971,336,238,090,964,583,025,762,451,063,521,063,571,614,563,
816,067,219,122,607,170,489,058,742,766,907,944,005,770,352,325,184,582,332,
058,935,419,563,165,056,016,144,366,507,568,459,064,545,727,269,943,397,044,
380,155,640,381,115,398,714,867,720,447,371,278,619,687,048,108,280,997,313,
423,019,217,163,865,188,737,369,227,597,099,858,500,913,636,099,213,472,176,
018,284,771,365,166,423,958,995,372,518,424,158,424,852,200,528,704,436,459,
442,157,575,455,592,512,940,640,304,228,454,135,950,355,151,723,450,279,268,
994,663,871,398,199,565,442,983,164,334,787,227,430,878,754,807,171,959,195,
140,771,749,305,148,324,947,451,503,437,640,250,831,467,249,270,784,480,430,
278,314,906,302,324,397,415,355,604,998,155,739,327,384,714,261,469,310,568,
296,451,809,419,194,246,738,437,856,249,397,136,389,412,942,865,721,393,243,
201,494,975,194,555,889,021,108,363,173,120,316,476,656,204,758,071,004,374,
959,104,115,925,011,724,679,925,787,385,290,655,578,357,708,569,459,888,985,
654,427,238,706,825,962,719,093,507,194,515,745,074,221,156,235,085,519,459,
763,649,998,459,478,178,049,389,004,443,468,824,009,551,399,957,461,387,639,
083,376,249,044,725,599,569,120,661,962,781,880,901,347,427,242,071,781,046,
749,077,609,715,999,296,423,843,513,582,170,193,875,912,488,200,881,167,518,
327,335,798,293,307,592,913,204,963,597,289,285,376,258,530,209,647,156,499,
581,754,467,440,162,090,523,563,288,695,334,806,257,798,285,376,058,553,396,
478,431,898,121,224,904,247,275,439,779,199,538,522,068,528,871,134,572,434,
477,957,466,150,311,304,529,106,766,007,905,103,840,371,153,440,618,737,353,
456,931,263,064,049,313,093,851,438,568,581,501,396,400,426,833,099,709,017,
905,499,098,099,124,249,748,102,367,299,911,351,884,859,476,015,443,528,049,
346,554,638,217,878,403,121,374,708,844,328,859,943,620,430,643,947,113,922,
929,154,442,008,512,863,156,155,385,327,139,834,105,211,540,668,786,412,465,
156,730,986,902,703,083,945,109,244,539,346,689,021,123,843,783,810,454,456,
999,643,286,051,071,782,421,120,248,073,476,127,560,861,198,398,895,353,779,
128,268,144,473,234,588,733,291,420,673,425,754,416,279,427,400,857,036,934,
424,132,957,490,771,084,598,618,214,645,355,778,968,824,046,734,581,266,611,
907,484,477,134,234,738,413,990,200,833,276,030,563,989,122,219,323,371,507,
935,975,958,265,619,326,806,071,796,306,897,896,627,725,377,232,072,867,226,
448,230,517,677,666,669,120,253,947,436,947,106,962,487,631,847,149,275,683,
302,158,202,764,907,469,171,155,022,834,570,188,894,382,790,015,711,165,229,
804,994,112,147,472,509,251,948,223,871,350,218,377,314,429,789,264,258,575,
447,135,855,077,942,730,360,803,883,133,030,343,477,818,768,175,464,333,860,
870,666,221,715,210,930,636,801,473,922,731,961,809,451,723,625,913,819,956,
892,092,352,177,027,198,791,958,736,150,071,315,999,620,670,528,146,858,009,
387,500,021,378,122,553,688,361,060,964,130,382,025,517,806,194,534,460,236,
762,627,576,872,345,799,707,368,553,989,427,022,269,362,813,465,842,081,181,
555,651,419,466,767,006,400,526,613,503,874,965,908,235,537,554,389,016,131,
831,935,603,909,655,140,870,309,151,146,636,048,161,053,735,204,281,384,250,
798,492,450,625,646,810,535,085,370,887,246,109,762,770,850,501,944,904,180,
071,557,568,927,793,217,454,375,102,105,647,158,489,680,008,333,482,821,736,
045,064,689,238,618,144,493,200,370,640,240,279,957,481,658,552,087,486,925,
192,037,832,257,558,547,930,585,139,557,756,326,904,088,711,997,737,974,325,
176,938,742,851,321,561,460,022,092,845,100,324,494,752,882,388,161,133,768,
377,004,307,286,016,080,386,578,422,392,953,630,186,855,004,412,115,608,705,
837,601,561,398,896,881,747,952,173,414,218,359,089,158,121,265,104,654,360,
886,949,886,063,640,946,779,279,307,317,038,999,505,657,687,502,794,068,410,
167,159,351,992,114,826,525,327,778,360,432,924,257,154,371,661,075,985,309,
830,864,800,700,888,531,904,885,436,408,004,647,582,221,332,364,939,898,219,
167,120,196,768,007,768,428,795,851,682,480,666,237,884,093,660,816,519,860,
303,722,572,981,589,838,673,860,761,466,419,718,558,158,681,770,845,187,455,
715,287,810,951,226,460,587,416,659,973,075,296,973,517,781,789,425,201,780,
254,243,967,426,388,219,886,736,930,679,450,283,714,324,975,095,466,251,198,
086,562,470,612,896,847,884,891,290,674,974,180,557,703,446,076,175,967,697,
769,491,185,428,845,214,460,159,876,028,094,759,078,604,913,328,892,574,110,
785,979,550,485,867,882,374,162,998,086,449,161,127,304,859,888,528,681,212,
094,042,517,728,251,546,028,018,060,687,430,187,287,318,763,825,050,205,898,
692,795,164,700,641,461,756,442,011,273,013,738,704,429,733,124,233,599,422,
992,217,111,601,735,753,645,540,373,541,067,731,169,760,797,502,091,614,478,
585,373,888,023,303,992,104,585,611,356,986,666,045,076,654,403,396,897,750,
383,455,476,670,624,126,768,952,511,390,430,415,674,632,905,905,052,221,811,
022,259,522,623,927,151,467,196,949,780,081,640,020,721,234,621,720,349,510,
443,887,509,532,722,198,089,508,442,607,824,971,686,120,029,332,382,209,955,
875,822,988,118,742,933,761,813,382,585,904,382,849,946,475,644,004,134,086,
652,244,976,507,563,719,457,373,007,240,467,318,665,824,348,427,225,134,990,
681,336,457,338,061,700,379,904,454,745,578,139,872,333,987,882,174,246,055,
970,968,339,080,647,632,205,658,175,170,923,445,551,256,774,427,201,708,718,
558,639,693,028,525,007,354,363,033,294,946,864,199,676,383,872,845,218,846,
145,844,375,817,413,171,096,846,516,989,723,790,955,977,826,306,674,866,229,
063,194,036,877,841,946,102,713,516,813,664,123,216,768,957,971,473,163,398,
475,659,117,326,023,480,502,990,837,753,083,284,410,319,514,671,614,011,208,
834,935,087,080,939,369,088,685,850,047,874,019,831,431,416,310,772,248,236,
491,968,011,669,795,883,767,363,604,691,819,997,411,535,922,287,371,754,398,
301,924,776,855,668,990,192,265,601,067,925,913,449,997,656,931,520,984,701,
005,736,243,919,191,357,188,990,688,403,963,852,903,485,400,030,231,241,044,
231,377,060,573,817,358,158,111,983,218,252,283,938,577,975,976,593,880,293,
724,986,213,420,815,011,725,506,646,314,880,318,143,277,245,273,579,808,031,
980,879,602,105,778,386,610,489,214,795,909,132,818,714,537,185,936,717,708,
407,963,886,701,811,313,475,592,997,597,970,497,107,233,559,227,481,496,458,
214,216,490,972,590,597,118,329,514,843,431,720,780,633,764,710,330,049,584,
086,576,448,946,907,163,673,964,046,640,879,137,023,784,058,602,784,802,035,
898,612,045,412,881,502,748,258,543,303,902,310,067,145,975,392,060,501,081,
532,693,391,241,852,677,745,239,537,684,212,153,131,860,987,980,083,117,792,
630,408,821,540,663,293,955,458,836,850,881,232,527,871,747,994,921,481,058,
550,073,472,529,712,577,374,819,713,842,445,286,815,850,375,059,251,944,442,
577,019,560,506,130,573,759,880,855,848,025,735,588,181,209,648,754,195,823,
013,260,710,155,028,688,223,136,946,063,753,466,737,530,918,370,574,603,655,
277,908,797,515,408,556,532,350,773,822,417,358,973,494,173,857,844,826,089,
025,881,288,942,950,147,743,564,381,662,312,763,267,846,620,494,927,078,095,
526,241,626,599,568,750,097,300,153,424,144,983,052,050,063,515,068,040,972,
874,336,482,128,341,125,511,505,178,289,675,351,316,707,444,149,165,417,704,
617,361,344,011,220,170,421,104,240,484,616,247,170,327,724,746,896,708,413,
155,576,833,112,392,986,277,335,675,811,374,454,328,181,341,410,257,556,404,
118,024,724,746,066,130,128,786,883,920,055,411,769,015,317,016,307,882,385,
620,523,773,656,051,615,189,100,720,151,374,526,525,297,021,256,777,217,566,
461,397,908,287,140,136,485,479,325,667,560,243,391,162,470,165,523,445,321,
030,353,788,663,729,933,012,719,973,339,025,234,572,444,720,586,151,783,890,
307,909,914,313,209,625,498,758,733,850,981,458,191,022,808,741,115,511,377,
016,275,219,211,235,409,432,176,526,692,623,501,630,208,136,072,370,633,074,
022,869,587,010,016,952,550,108,031,961,760,153,304,500,371,784,754,994,598,
262,731,159,307,352,707,189,664,174,131,654,826,114,218,016,262,797,737,135,
279,127,261,981,546,109,684,124,021,680,913,803,676,505,416,216,285,315,865,
686,887,098,437,842,010,450,907,137,173,259,921,062,453,216,062,623,475,294,
978,918,205,481,744,140,590,192,233,976,781,164,179,117,402,474,720,784,771,
983,765,244,622,515,002,482,603,264,896,146,834,492,813,132,716,717,834,561,
525,451,447,137,568,472,540,932,799,919,831,310,348,923,942,811,831,308,670,
406,609,925,609,243,646,516,079,222,711,834,783,909,332,050,093,567,996,879,
183,685,743,577,180,788,315,980,503,229,627,061,399,629,788,667,774,687,346,
744,295,246,085,060,301,658,425,871,377,070,546,605,463,406,717,417,717,196,
808,372,820,116,937,604,418,483,445,392,174,717,954,961,525,385,727,512,376,
783,817,719,812,862,328,247,672,248,585,072,526,018,438,851,123,847,940,197,
992,560,585,435,931,944,810,982,400,323,535,304,314,008,459,401,851,077,143,
554,988,201,881,785,011,922,073,713,890,861,658,209,436,923,138,228,240,321,
530,602,741,361,730,512,325,853,779,841,079,782,507,549,425,423,269,654,949,
883,221,462,188,182,832,042,912,467,556,442,453,688,496,350,020,643,644,263,
876,454,600,955,221,431,063,444,740,856,489,421,439,369,776,312,653,405,996,
682,512,639,123,398,961,568,469,060,547,156,623,226,454,533,747,835,622,132,
981,690,928,965,250,135,621,799,017,559,820,797,961,870,139,265,705,228,442,
117,992,410,106,154,910,197,051,225,205,992,376,852,598,996,543,106,189,045,
642,187,823,924,235,121,541,122,592,431,293,565,570,761,022,847,931,219,230,
860,031,968,090,218,989,166,951,157,812,784,196,555,896,281,514,635,819,332,
201,408,920,139,201,796,070,678,645,030,814,450,074,253,547,157,125,569,967,
683,447,818,565,125,678,164,760,487,323,383,810,281,680,126,497,417,033,334,
613,626,079,824,392,280,083,080,593,402,033,008,997,651,131,063,823,726,611,
737,312,097,395,639,410,260,312,352,946,921,253,746,669,196,784,703,459,949,
910,484,416,427,111,699,499,599,559,601,749,480,850,457,058,128,196,742,391,
458,431,951,714,958,704,656,502,883,653,440,016,286,790,199,624,725,086,786,
085,703,812,613,044,538,739,989,370,329,882,240,859,585,649,967,069,122,567,
789,948,770,754,920,941,067,574,634,247,414,947,467,569,865,546,089,248,207,
112,794,905,535,461,731,029,317,428,142,126,718,922,791,466,101,637,368,054,
266,163,896,098,695,299,391,614,386,604,880,846,168,355,217,914,622,839,734,
413,187,454,302,048,091,698,496,858,181,245,545,516,955,887,910,157,428,974,
365,394,720,347,676,507,215,329,288,909,943,427,999,182,389,637,051,237,141,
395,400,209,786,576,443,923,300,345,129,618,855,177,318,137,965,584,851,071,
682,334,691,451,392,934,808,846,144,786,362,435,202,965,331,059,243,840,046,
954,661,417,071,198,163,433,507,956,169,898,125,446,905,203,723,453,547,104,
990,642,614,901,995,232,006,693,007,154,294,967,051,828,173,550,247,416,107,
049,703,290,198,608,572,612,610,626,612,516,776,025,727,620,497,465,767,974,
213,558,957,967,478,532,658,639,812,661,673,442,412,577,982,904,331,776,974,
792,734,232,444,908,218,695,944,312,384,246,148,176,582,175,253,090,890,094,
261,934,094,868,280,902,468,060,724,905,656,843,285,412,669,156,354,653,177,
194,039,790,814,818,162,073,824,225,517,537,106,533,050,110,944,231,470,019,
198,305,021,148,789,480,495,319,237,782,976,786,955,866,769,966,892,640,276,
221,523,865,368,104,459,414,031,344,481,393,840,667,694,769,097,215,608,474,
362,674,838,869,488,221,283,156,737,041,693,835,960,479,226,009,375,172,690,
906,144,962,968,617,434,244,809,862,385,058,081,128,842,496,337,021,850,415,
844,668,715,322,725,584,307,400,890,122,745,013,045,662,062,174,964,392,090,
678,528,582,584,471,145,735,310,795,594,926,454,988,693,540,727,040,390,867,
034,624,404,459,234,755,126,447,605,827,788,496,759,556,322,506,812,877,321,
022,001,607,615,059,416,020,179,496,412,252,177,674,278,290,509,668,309,183,
797,104,798,236,926,759,551,932,579,264,870,092,712,938,930,050,303,381,658,
129,978,121,738,868,895,581,348,377,345,070,936,374,373,954,038,732,078,169,
780,627,139,219,304,602,541,780,609,300,037,238,590,275,284,276,844,831,069,
162,083,725,106,424,563,291,099,634,184,282,323,602,616,145,423,748,546,604,
875,072,697,891,212,476,875,199,124,747,355,141,957,252,841,303,953,621,955,
403,330,111,800,386,394,052,846,934,519,948,817,469,918,554,364,671,425,616,
341,144,863,359,188,727,689,502,535,873,603,976,673,352,383,500,454,541,460,
289,843,713,967,219,322,480,537,170,462,159,223,324,483,762,743,265,910,550,
665,610,967,181,860,610,597,893,623,892,872,529,181,109,953,638,117,915,592,
523,519,028,328,244,421,522,635,136,093,065,188,780,777,842,542,173,879,402,
096,328,662,908,852,517,256,689,537,410,128,984,715,112,437,993,727,784,913,
986,737,616,511,466,018,883,340,622,089,225,340,006,992,267,452,842,319,769,
079,547,541,632,933,324,473,437,156,237,565,912,387,232,453,183,566,991,833,
660,841,448,894,079,467,646,772,840,961,550,150,425,075,740,474,369,119,176,
020,697,999,486,219,917,041,205,072,323,237,818,523,200,889,026,408,321,378,
467,168,344,428,375,147,735,154,755,137,986,115,684,686,527,545,050,791,285,
162,559,947,766,059,824,964,766,013,014,824,131,015,627,916,394,781,958,698,
927,127,119,799,218,675,255,808,260,647,025,850,909,784,117,743,617,837,294,
033,216,606,594,977,216,195,794,422,069,976,240,813,885,525,087,667,840,706,
665,446,787,282,381,823,087,098,883,503,608,344,321,679,252,825,706,554,579,
681,149,959,932,722,311,543,704,975,562,139,505,746,633,376,628,368,800,480,
755,581,646,990,961,600,225,459,097,028,581,174,452,565,355,782,645,141,132,
767,937,215,921,324,046,621,379,665,610,649,315,839,226,819,550,886,945,105,
292,559,694,052,482,935,134,380,360,968,882,281,615,982,743,620,773,599,711,
040,137,183,593,557,202,350,439,923,516,416,869,536,819,646,031,820,058,130,
337,606,280,324,892,776,767,190,954,787,278,829,028,816,488,566,846,341,727,
052,127,750,569,089,002,626,304,830,303,673,639,430,385,656,855,397,201,385,
547,873,363,044,241,822,355,331,267,308,268,959,990,832,732,956,037,914,248,
737,231,481,070,634,895,557,747,179,232,281,367,466,852,951,761,856,228,091,
899,503,673,184,899,644,864,520,619,243,204,602,903,475,207,490,320,027,833,
351,252,080,497,350,442,539,233,337,556,131,632,065,930,492,139,360,066,713,
207,651,898,619,739,350,891,426,151,917,251,623,283,731,021,845,844,377,506,
675,938,180,122,415,852,351,989,878,376,575,483,473,231,686,383,741,565,466,
241,773,413,286,664,906,457,514,559,940,435,609,160,311,050,788,662,710,904,
785,295,919,544,157,181,148,636,209,251,637,022,139,226,026,257,946,987,169,
172,781,731,572,604,031,221,289,659,939,702,528,188,878,981,227,403,235,469,
035,137,534,021,598,158,174,470,611,374,023,292,883,445,834,845,233,534,677,
392,828,414,547,991,520,797,927,320,645,773,598,847,701,187,313,532,405,536,
654,568,637,152,846,778,035,664,914,154,485,553,327,960,152,628,801,470,422,
056,933,809,548,217,772,693,122,151,443,692,881,762,628,242,674,434,349,196,
281,869,138,548,585,901,680,807,773,333,130,488,856,217,400,238,035,681,684,
542,606,612,968,285,869,746,823,742,628,298,941,199,281,125,575,932,577,514,
969,869,229,213,395,667,358,628,880,291,379,819,437,336,215,807,309,205,417,
044,902,181,363,334,402,044,814,008,320,249,020,160,708,506,773,326,129,879,
520,768,843,790,062,496,077,601,982,255,755,236,796,219,801,831,839,247,948,
743,268,280,711,913,764,239,280,450,355,478,775,417,968,713,124,272,104,345,
041,299,953,581,588,145,513,294,244,420,389,681,495,334,867,422,671,364,500,
499,522,633,695,891,443,301,393,966,933,073,269,298,134,115,309,696,135,544,
010,211,779,705,791,077,905,030,949,398,450,516,682,588,384,144,753,533,135,
323,289,301,118,641,564,441,076,815,298,079,730,343,212,267,087,695,166,088,
185,726,443,912,771,546,654,512,844,159,514,088,418,996,062,064,325,920,068,
370,033,694,654,382,732,737,833,083,804,617,681,942,587,537,397,552,561,893,
425,938,127,352,894,761,483,679,015,334,380,382,405,701,686,781,509,614,834,
786,111,651,847,149,337,705,522,881,826,344,551,263,986,256,043,131,269,912,
482,531,565,764,672,369,323,217,502,742,759,667,463,170,528,504,405,185,584,
297,827,104,580,698,255,816,867,102,786,252,945,058,637,365,712,488,968,707,
347,353,369,402,033,893,416,795,204,261,756,989,486,020,503,567,397,590,821,
034,013,866,119,908,436,031,036,778,699,442,777,583,835,441,690,199,807,296,
505,248,567,627,598,119,410,632,334,120,288,038,830,055,640,576,766,856,231,
317,828,077,499,202,668,190,947,255,961,430,010,367,442,379,676,033,211,746,
004,060,423,786,298,315,690,066,131,776,669,995,481,736,375,280,484,245,589,
005,224,051,573,949,314,997,703,515,578,571,471,305,914,607,415,681,834,270,
186,522,197,101,730,559,251,225,212,383,636,274,125,448,908,377,632,536,037,
181,273,115,778,408,491,468,170,160,439,233,329,188,785,225,216,950,236,491,
489,780,881,566,274,517,872,720,825,355,055,503,358,960,085,601,743,733,419,
750,991,319,618,790,625,165,124,847,176,335,137,389,850,074,184,269,018,107,
872,717,896,274,440,234,314,728,783,850,000,376,331,749,809,571,837,530,082,
778,035,993,313,621,854,913,464,567,851,779,761,195,186,445,888,863,608,272,
632,837,515,115,593,130,771,920,169,518,884,198,946,067,510,134,925,881,697,
424,421,906,180,919,823,046,867,481,751,960,970,652,996,124,006,943,435,011,
126,751,295,637,088,151,147,889,505,174,271,884,356,899,468,922,056,528,254,
569,024,265,612,486,298,552,081,838,826,783,118,755,055,764,185,308,224,141,
349,204,835,001,211,994,367,764,510,249,993,195,465,341,827,176,781,025,581,
756,620,216,003,793,509,166,249,702,232,425,262,907,980,028,854,051,012,949,
824,799,567,357,450,177,829,489,696,961,697,549,766,422,558,622,524,386,334,
150,703,035,604,929,156,963,931,560,438,098,307,964,881,884,591,835,291,666,
435,291,246,861,399,252,807,382,545,233,853,118,184,360,588,878,859,995,723,
144,831,074,178,209,489,785,200,553,546,899,634,399,788,262,999,126,852,661,
919,694,272,942,694,156,000,897,927,507,123,340,761,746,476,835,533,282,587,
318,005,624,629,388,047,293,550,005,104,440,019,284,937,086,077,169,848,214,
062,484,903,636,383,454,197,994,653,005,084,016,371,109,364,357,102,167,539,
877,760,231,936,271,100,973,311,685,103,442,313,865,034,200,727,950,591,302,
619,058,295,159,490,304,841,952,247,616,690,936,247,816,373,147,633,373,540,
238,172,208,062,941,832,233,004,814,313,056,226,973,355,048,651,321,027,984,
188,222,043,713,087,351,923,728,634,539,671,527,437,363,676,887,827,821,348,
130,996,690,390,267,333,862,550,537,807,866,809,487,033,315,318,120,666,325,
338,416,414,311,157,897,982,725,506,493,434,408,272,553,438,793,551,015,663,
227,061,556,727,148,000,852,283,681,372,783,422,152,729,139,564,339,100,977,
093,260,130,856,183,168,016,741,128,894,101,224,916,119,981,254,279,551,464,
326,222,692,088,997,905,319,916,343,552,553,758,082,233,083,265,423,265,922,
248,939,824,485,714,973,847,456,768,117,215,915,219,863,815,420,752,457,947,
028,259,839,470,944,566,739,438,485,504,840,125,413,562,077,042,706,986,750,
293,724,877,929,518,587,147,887,418,981,409,805,034,874,476,349,923,311,567,
982,730,098,032,646,648,529,909,174,695,509,485,907,393,742,985,878,733,685,
860,089,388,652,681,581,992,042,303,924,753,910,844,692,289,439,528,473,191,
278,459,097,143,252,459,653,907,722,981,802,807,925,424,484,865,013,661,418,
719,237,423,861,891,556,305,570,780,067,545,472,683,751,388,688,228,874,139,
502,320,751,787,077,896,125,581,839,821,684,764,823,486,056,697,881,674,012,
439,984,643,298,107,911,651,397,462,892,042,788,233,835,011,970,702,541,691,
243,420,383,239,190,910,443,820,438,446,154,772,137,852,517,964,260,390,274,
536,687,107,631,261,866,681,487,449,920,728,769,498,905,903,182,582,887,080,
947,176,489,485,552,845,762,502,058,875,048,847,925,889,726,694,513,683,491,
562,503,088,684,721,011,567,015,048,195,037,333,260,958,151,093,429,571,478,
990,393,246,384,657,404,050,163,510,743,095,918,995,137,500,333,888,429,790,
219,467,793,252,435,475,420,405,268,352,253,317,570,035,274,978,778,472,981,
699,698,954,277,463,331,774,981,671,769,155,692,841,380,177,301,319,566,334,
980,294,647,683,328,693,894,693,125,346,721,974,991,127,032,586,107,741,944,
942,862,455,389,922,459,250,273,814,827,973,234,615,118,874,551,638,081,100,
383,032,322,389,094,733,841,268,522,602,846,700,839,698,690,841,878,817,379,
585,974,576,239,687,189,167,226,767,710,947,041,288,180,592,247,094,100,685,
034,044,352,479,480,471,396,639,528,882,698,262,143,902,934,335,534,162,543,
398,232,352,411,894,591,131,130,210,682,153,450,081,288,242,516,708,925,486,
050,967,190,283,695,236,916,864,711,925,661,742,583,497,796,893,991,393,042,
831,503,966,103,914,568,609,018,487,170,255,717,267,381,227,482,213,446,807,
227,189,006,121,481,001,291,748,086,233,781,301,409,051,433,540,112,335,567,
785,149,480,139,898,661,074,363,708,442,826,660,774,876,119,214,944,636,188,
229,913,728,600,998,705,073,571,933,895,135,466,490,883,843,345,445,753,028,
056,963,929,560,099,504,069,242,789,790,886,769,740,795,397,301,850,301,773,
172,231,478,208,536,896,322,086,043,871,057,814,180,394,367,084,382,808,946,
813,377,345,355,028,396,617,776,425,445,114,299,409,531,819,899,624,397,494,
424,762,667,423,728,505,311,085,131,408,416,421,626,475,171,567,900,722,584,
055,125,532,510,989,418,576,159,760,606,785,683,828,007,752,490,529,031,293,
814,378,481,094,992,789,159,874,237,744,650,404,314,971,485,100,035,585,225,
811,406,826,501,614,368,249,391,179,128,601,287,442,459,843,637,887,008,155,
944,313,189,008,885,376,274,729,781,855,307,837,231,410,674,161,080,472,757,
329,467,935,874,391,154,352,811,059,583,550,969,200,549,193,445,206,274,038,
471,638,368,692,042,077,819,578,065,543,911,654,744,379,759,655,107,870,041,
163,585,986,831,204,041,645,222,880,411,559,622,310,309,803,947,063,130,844,
621,673,643,899,636,561,234,855,255,880,948,879,041,363,188,663,024,266,367,
415,529,097,413,716,060,310,364,718,168,682,313,560,858,551,655,258,663,041,
402,216,146,869,585,027,201,796,288,049,098,095,635,995,073,805,404,159,391,
038,592,150,203,336,447,078,150,084,653,051,282,011,321,413,911,143,289,195,
825,647,033,319,232,496,069,392,827,786,103,133,999,892,645,539,244,253,812,
385,491,655,463,847,983,254,868,211,095,322,712,577,947,836,852,283,806,119,
360,894,740,540,762,391,719,087,724,530,228,988,981,355,456,945,363,000,108,
735,724,605,602,669,541,958,646,759,403,332,317,511,951,282,633,990,488,862,
121,171,832,289,414,805,139,761,675,573,910,450,717,369,266,326,443,534,978,
341,864,562,843,990,668,624,841,056,256,219,925,620,539,981,017,560,475,807,
677,100,389,077,545,654,006,052,065,933,573,472,262,398,559,314,881,311,189,
669,250,593,723,805,386,399,007,792,757,616,892,985,156,600,094,460,145,575,
016,607,517,266,556,286,096,691,081,220,976,916,727,784,593,185,585,944,254,
038,929,019,445,622,744,993,955,102,054,156,495,662,762,873,325,954,156,008,
201,791,738,506,865,134,665,422,703,538,508,145,233,462,383,658,694,139,737,
416,898,548,154,080,953,836,967,475,751,039,398,735,015,282,616,907,448,376,
133,352,676,022,316,183,887,378,486,558,813,723,243,076,585,449,045,154,775,
054,429,970,471,607,378,574,972,675,055,465,326,987,261,441,972,893,284,128,
202,338,483,586,294,946,961,355,314,570,112,138,123,138,042,660,712,969,468,
930,678,399,873,073,887,083,598,921,647,161,450,828,560,746,927,186,120,282,
009,384,644,921,469,847,400,754,340,727,987,795,449,962,980,851,508,926,762,
425,060,063,817,017,774,742,063,241,840,137,094,815,680,372,551,033,446,837,
986,102,175,483,172,643,353,071,962,281,879,530,732,248,020,881,773,310,614,
371,380,706,867,714,182,611,977,822,379,100,158,823,549,716,694,595,779,639,
524,201,720,874,051,593,784,694,224,001,397,378,217,410,209,770,231,236,834,
353,362,640,021,753,180,452,956,347,621,724,956,011,022,080,894,775,863,560,
793,003,962,784,110,970,636,771,099,931,280,642,027,144,616,416,637,850,778,
943,048,604,529,841,714,992,209,796,396,555,628,111,521,077,243,121,603,192,
264,016,325,857,801,563,593,286,215,514,366,669,865,871,016,493,954,395,212,
788,652,249,418,850,672,509,961,464,329,430,756,503,337,802,096,310,438,190,
789,980,299,439,306,596,899,302,615,378,931,587,585,000,658,066,880,009,278,
207,294,925,821,580,906,577,365,090,848,769,351,383,020,557,788,063,601,781,
486,174,475,542,176,194,617,365,975,166,784,928,851,712,365,259,201,243,805,
484,866,749,253,638,661,268,894,288,473,279,164,694,202,432,962,602,827,764,
048,293,585,255,225,922,461,919,722,230,314,846,592,059,898,431,835,975,430,
538,336,800,668,243,719,877,956,079,304,042,047,839,034,871,135,942,996,991,
524,254,853,428,435,227,403,986,768,948,566,257,962,623,202,803,001,875,404,
363,745,296,581,371,301,549,395,539,766,308,730,506,406,482,564,974,011,212,
953,977,283,524,724,999,179,530,806,545,990,564,008,038,922,921,110,323,486,
362,770,773,986,230,485,456,610,370,047,689,246,493,336,718,792,817,043,033,
082,518,555,267,620,083,764,994,645,742,006,963,690,194,364,670,057,035,192,
839,590,375,835,681,472,414,725,746,794,529,203,985,819,888,438,735,879,199,
478,610,156,717,065,805,984,876,655,558,119,748,846,437,941,225,499,788,631,
540,028,772,199,418,244,193,608,311,320,516,238,064,630,643,108,041,996,777,
484,057,851,331,377,493,056,109,615,369,915,541,713,667,938,233,808,315,926,
674,887,596,005,668,581,634,028,960,102,752,318,508,299,175,695,073,133,709,
457,069,829,151,817,847,402,482,473,777,403,000,601,257,359,539,207,540,542,
313,654,786,530,253,701,646,596,535,619,444,762,233,377,691,345,434,407,010,
694,944,152,296,622,198,538,981,565,394,726,659,389,125,887,194,386,629,078,
639,231,574,914,496,000,491,214,930,182,943,659,295,256,009,808,251,707,699,
140,076,987,684,099,930,468,935,455,308,661,995,738,903,557,209,615,386,286,
955,889,223,281,216,374,299,330,789,563,319,088,130,852,139,203,154,051,317,
290,418,313,973,051,603,667,974,164,079,622,926,226,513,761,004,107,935,000,
240,600,775,852,615,341,732,756,559,023,631,717,796,144,660,275,653,031,851,
076,134,914,073,719,220,046,590,938,195,145,769,549,202,280,950,866,292,592,
203,705,941,427,505,173,705,544,406,441,145,264,893,645,995,359,117,469,858,
694,939,450,259,141,283,715,234,526,934,898,320,428,353,885,668,208,352,175,
626,668,512,859,229,425,379,656,552,369,389,498,565,228,632,958,640,191,868,
567,290,688,456,218,480,948,891,897,797,954,976,025,235,990,162,907,090,518,
963,137,146,550,641,264,674,334,487,258,622,551,810,350,585,809,445,531,600,
978,085,437,002,162,727,762,092,671,898,617,415,785,529,701,274,535,738,605,
371,274,625,720,481,288,778,574,180,156,597,137,343,645,464,048,257,437,179,
241,433,726,262,016,344,754,554,856,348,613,588,916,531,886,581,412,655,093,
115,235,164,724,900,390,808,211,835,665,539,113,675,893,145,541,460,159,347,
957,113,775,922,024,041,328,532,567,776,232,380,269,410,661,099,037,551,412,
576,397,006,351,654,654,642,492,360,346,729,049,654,454,476,290,051,100,812,
264,178,093,156,259,178,291,538,302,329,726,927,093,606,605,220,080,509,746,
671,172,479,059,961,213,102,671,166,914,219,151,049,978,205,432,856,705,461,
625,604,374,572,003,443,335,328,032,738,968,519,995,736,724,467,731,086,022,
584,221,951,326,140,646,983,033,334,093,169,332,919,755,413,083,523,975,791,
082,166,913,508,596,763,849,356,988,033,797,698,544,531,154,858,892,818,892,
148,111,192,830,892,336,172,645,967,627,336,028,069,434,009,336,719,573,003,
302,631,451,752,199,566,155,127,049,708,228,712,117,824,664,086,924,161,618,
681,669,509,814,294,232,670,877,623,211,460,621,570,175,219,195,859,645,624,
134,769,558,037,152,192,274,434,603,776,876,109,949,146,867,011,829,958,581,
903,871,859,344,693,202,180,621,297,741,225,937,833,657,285,609,720,155,116,
332,634,111,995,796,004,887,125,080,598,907,572,808,611,034,409,479,788,091,
744,845,453,681,102,441,125,664,468,493,860,554,189,986,254,189,710,468,544,
391,460,129,246,545,006,868,887,638,247,542,011,574,344,672,279,801,149,206,
063,797,329,591,409,266,396,238,141,309,890,279,309,095,768,977,499,206,914,
729,795,904,878,228,257,408,562,543,372,813,878,292,263,814,366,184,078,251,
307,873,471,913,150,938,746,424,233,760,387,111,963,218,009,492,075,095,417,
597,375,837,155,294,300,959,536,218,920,868,048,809,361,395,626,271,866,181,
292,340,006,718,890,084,176,636,224,880,884,239,093,036,045,326,547,133,133,
569,091,186,979,602,922,266,911,339,012,564,967,052,893,672,148,277,805,606,
635,752,431,133,920,813,031,009,099,567,947,594,619,872,103,694,437,448,775,
297,178,287,387,902,369,990,741,966,497,043,093,829,220,437,102,855,482,023,
946,917,343,924,032,105,771,669,212,632,891,133,705,865,317,053,756,736,851,
085,985,254,860,467,058,721,703,285,846,349,481,702,016,506,065,120,580,391,
909,090,055,830,553,812,831,519,188,225,736,842,117,027,345,005,960,608,407,
934,752,565,870,719,476,761,882,338,773,794,075,050,280,747,684,923,858,260,
043,996,099,275,738,559,983,371,878,223,245,020,667,333,444,330,149,712,384,
674,128,329,386,705,409,875,024,939,687,930,533,823,605,253,067,629,032,868,
567,285,637,802,364,754,623,729,158,937,559,562,516,193,886,612,857,457,172,
921,384,796,816,624,265,139,244,057,445,134,918,502,868,953,308,285,335,706,
958,044,567,584,834,423,572,711,761,608,211,867,686,571,090,799,976,228,085,
338,043,775,451,941,470,398,666,688,853,628,859,279,176,014,848,542,773,718,
659,308,648,266,389,742,922,333,536,788,193,335,250,558,023,196,468,202,880,
130,866,156,430,124,111,960,061,462,978,778,545,412,932,653,476,792,032,128,
990,262,242,421,184,456,365,507,491,290,750,862,347,821,701,598,108,289,023,
385,568,230,782,060,266,553,922,628,560,371,292,813,696,846,220,197,359,869,
131,699,727,004,692,435,620,598,468,695,358,008,876,681,321,277,267,148,353,
202,187,417,052,175,791,382,096,658,855,005,267,123,733,259,282,027,671,998,
938,925,004,690,917,177,000,484,440,838,184,178,420,626,325,552,189,707,377,
885,349,012,907,879,675,283,361,536,160,528,183,302,793,610,131,939,358,356,
357,872,131,837,681,841,559,527,007,493,835,939,773,345,061,908,714,772,247,
665,711,449,730,834,287,387,060,179,285,883,997,029,548,786,609,573,775,615,
799,470,778,075,312,537,552,064,845,562,989,139,320,663,633,509,830,284,751,
362,003,264,187,895,324,602,229,423,726,046,914,726,455,949,847,870,237,847,
915,027,802,007,428,503,435,828,152,424,665,167,602,026,545,716,054,649,643,
294,027,141,720,358,603,960,403,316,867,131,712,166,505,321,955,195,420,077,
170,246,345,809,389,051,636,425,885,542,849,532,576,446,028,199,883,697,720,
719,038,082,525,902,607,963,666,522,301,848,355,698,858,966,425,008,387,456,
528,498,950,919,535,159,175,010,171,051,167,829,916,131,639,640,170,851,648,
297,601,073,073,813,152,447,299,636,508,613,720,132,383,285,240,955,170,360,
834,161,354,804,746,657,765,203,722,127,040,952,304,525,951,777,690,226,746,
726,646,197,858,374,908,568,327,238,140,826,316,801,912,290,130,466,502,708,
101,535,098,109,396,508,316,486,019,899,162,610,624,115,266,107,658,163,110,
162,792,297,362,347,950,555,114,970,601,283,129,386,907,766,282,224,402,244,
522,347,230,728,365,485,614,246,035,836,425,684,523,315,630,828,098,695,822,
068,654,866,005,499,243,386,225,763,766,528,131,762,252,211,199,173,095,652,
357,783,944,074,001,446,409,638,252,512,973,740,272,487,761,368,192,370,797,
336,325,484,257,788,544,529,073,182,074,866,120,213,741,897,017,142,824,780,
535,328,693,397,183,643,637,478,161,108,077,249,672,235,474,435,408,158,287,
698,332,323,876,706,752,502,044,296,700,525,914,692,266,581,183,260,366,028,
143,401,013,079,146,466,636,745,019,927,098,277,641,605,205,176,003,434,457,
467,988,193,146,739,351,746,278,458,000,396,709,974,387,131,152,044,855,006,
280,615,535,433,438,430,977,905,346,308,839,137,839,908,286,805,334,098,713,
093,886,623,707,615,893,088,827,914,477,515,483,838,274,591,842,802,644,947,
474,958,556,873,173,266,848,918,686,205,234,697,747,043,566,581,264,103,850,
140,943,368,389,785,528,981,485,375,116,292,409,048,826,194,393,239,769,194,
816,496,770,648,364,016,383,122,883,191,410,097,222,608,708,447,017,602,487,
220,560,188,999,348,618,697,288,198,456,823,021,720,412,211,653,789,426,145,
538,016,546,073,519,270,633,867,313,954,294,447,296,555,412,583,746,735,744,
198,029,831,266,834,978,719,289,489,878,936,469,403,402,771,114,310,491,096,
197,868,690,921,286,685,522,948,735,085,795,731,729,281,288,443,573,888,763,
669,387,763,166,655,124,608,881,016,707,229,251,805,086,980,570,683,613,017,
621,407,866,997,784,347,910,114,836,309,064,586,297,677,239,355,101,328,180,
602,970,754,498,331,797,682,397,183,006,190,339,853,601,676,420,709,656,722,
533,434,219,699,210,569,231,560,711,326,227,503,346,124,931,779,696,467,061,
727,980,293,857,927,469,530,163,014,532,853,059,817,755,037,867,594,959,984,
483,776,278,933,680,497,482,303,649,652,655,857,216,790,065,623,948,509,443,
442,300,533,874,825,259,846,990,773,165,782,119,294,609,212,515,239,264,031,
172,442,863,382,730,453,391,050,713,180,788,667,765,750,583,815,650,542,212,
249,829,497,981,586,572,974,613,690,462,567,843,127,582,416,817,239,380,344,
716,818,539,896,503,541,153,827,597,033,934,343,711,155,889,202,767,129,352,
804,728,559,532,877,310,859,424,259,525,016,186,849,652,870,843,594,137,922,
299,911,474,136,259,807,723,041,331,324,660,771,801,508,528,677,616,511,258,
123,284,152,974,606,994,320,468,467,738,973,212,984,548,330,277,018,079,234,
676,387,749,033,009,484,707,555,537,280,450,937,488,776,878,788,277,500,228,
252,568,623,934,363,048,825,231,902,366,328,240,119,406,702,765,098,791,075,
793,174,093,360,313,390,432,286,754,573,139,863,527,452,833,672,547,923,908,
401,531,722,298,746,847,740,070,900,221,571,801,037,317,570,525,329,620,785,
633,537,584,400,629,900,576,765,836,734,380,735,653,628,561,871,480,467,470,
929,549,365,610,394,676,707,817,089,197,794,475,851,645,846,804,427,694,370,
039,259,743,877,541,946,276,260,924,455,329,333,252,790,409,025,809,168,746,
586,819,453,123,653,353,696,760,463,168,758,859,289,355,045,365,319,381,762,
712,194,489,251,115,718,391,496,752,561,570,797,123,639,030,773,259,157,777,
103,244,690,356,031,025,955,899,064,011,649,097,030,589,874,396,516,403,219,
594,581,347,715,255,269,927,901,786,934,268,744,289,133,906,484,847,040,536,
058,812,741,512,411,000,792,447,303,170,750,915,702,639,346,625,160,833,270,
822,236,631,291,866,889,169,562,374,914,503,075,476,628,677,664,334,144,583,
506,654,965,168,862,056,518,720,710,774,120,961,676,327,841,719,569,584,396,
201,985,536,660,063,195,020,774,746,396,366,469,057,718,909,769,198,438,816,
157,862,227,980,789,998,452,423,624,771,479,301,846,766,842,795,522,716,188,
280,329,631,016,906,447,064,460,141,818,996,657,386,707,152,622,694,431,440,
090,946,931,285,380,511,863,747,598,608,023,403,488,207,761,803,916,963,487,
863,090,060,663,908,905,120,946,382,560,788,299,728,125,134,988,324,288,954,
466,152,337,572,221,546,213,216,971,575,908,430,087,474,738,432,815,298,836,
422,654,293,808,030,766,168,552,766,117,890,249,236,223,068,750,358,172,750,
968,358,656,170,155,781,482,820,511,033,625,051,015,653,400,577,616,154,199,
669,943,479,826,724,328,639,706,807,104,312,388,300,351,747,356,364,682,720,
455,757,992,072,496,440,511,590,316,232,612,415,691,266,640,270,115,744,547,
377,876,691,234,061,158,610,007,850,861,099,585,448,343,723,672,840,720,066,
842,642,479,746,179,690,258,629,030,875,154,442,911,903,214,548,178,680,019,
734,044,777,368,789,799,318,517,045,499,794,041,095,359,294,925,533,249,167,
036,659,255,315,477,504,996,240,764,542,568,063,944,000,246,737,272,177,959,
973,908,508,960,517,658,631,925,856,002,282,378,877,985,961,873,829,469,664,
746,071,163,135,794,322,762,957,392,500,441,659,118,579,642,924,014,080,483,
842,381,152,281,798,288,754,017,590,244,918,422,752,888,042,103,814,214,626,
461,469,465,807,421,908,190,130,672,931,894,742,782,680,256,254,307,607,367,
785,389,790,989,886,586,804,006,548,890,939,256,975,995,609,763,961,882,478,
096,912,193,655,201,013,092,745,736,268,205,126,787,220,903,778,318,392,887,
432,569,619,778,253,815,016,087,234,812,429,026,272,179,815,901,149,052,538,
615,061,751,027,459,687,351,663,652,979,343,795,992,258,289,588,178,150,281,
684,910,601,441,533,229,292,222,313,780,340,443,090,826,098,511,677,126,571,
321,862,279,576,641,623,644,397,015,898,027,549,924,445,968,222,935,316,020,
409,014,949,134,459,370,867,729,743,766,869,019,544,204,944,641,393,322,841,
792,406,000,010,594,691,443,623,644,880,188,502,163,458,531,911,798,021,768,
402,273,727,862,224,946,598,624,837,742,067,406,442,403,912,868,623,914,808,
932,401,538,692,986,418,857,132,816,548,249,507,126,740,443,405,990,673,984,
469,932,064,210,449,587,702,543,639,992,661,775,479,722,652,448,118,996,781,
679,812,833,603,351,049,811,339,115,360,894,263,008,875,562,506,063,167,635,
414,140,148,968,755,353,035,811,666,716,607,833,708,821,027,624,249,070,420,
569,156,877,206,605,145,624,132,842,939,719,157,080,561,163,719,083,997,359,
058,602,283,144,057,378,952,726,197,786,820,500,117,584,452,313,159,755,004,
329,082,106,074,482,428,338,808,075,463,200,119,381,971,945,398,700,904,988,
205,246,363,782,010,005,687,166,674,465,466,419,801,888,534,313,092,902,740,
017,995,334,160,607,327,930,360,142,354,071,563,433,852,513,364,240,285,866,
486,293,487,496,561,746,486,356,965,033,863,889,367,871,307,875,351,519,393,
872,215,717,835,793,079,367,132,505,484,286,025,326,402,933,993,141,121,668,
130,935,842,261,605,077,512,189,834,541,675,733,992,166,856,302,006,096,701,
787,155,929,442,266,704,967,584,658,751,354,057,071,896,129,161,908,715,020,
866,134,934,712,472,618,449,123,498,667,445,091,791,633,621,331,927,653,028,
341,343,473,778,259,111,676,100,704,825,665,392,495,782,004,502,313,403,793,
168,318,962,086,389,269,184,140,070,909,932,782,168,580,070,116,654,908,644,
340,404,955,136,975,891,088,550,710,043,050,325,252,256,864,716,705,162,479,
802,430,057,190,421,360,412,923,895,914,345,672,272,082,297,740,828,754,659,
030,677,853,745,626,025,540,372,088,443,349,602,966,676,360,204,891,656,565,
165,002,352,928,585,456,458,670,963,801,282,909,927,983,873,540,716,041,297,
662,385,599,963,270,639,171,653,868,344,960,513,998,276,884,992,295,301,673,
510,043,959,101,313,563,767,173,348,882,484,208,480,124,742,149,803,320,657,
956,819,877,017,426,943,942,344,760,460,800,690,183,722,725,586,282,305,427,
820,043,576,065,634,321,019,427,257,706,820,553,080,108,732,795,634,923,619,
411,279,541,737,985,264,900,456,762,798,140,076,353,185,624,613,567,870,146,
348,041,016,507,220,800,512,465,401,957,418,938,948,275,700,195,084,953,408,
073,317,123,125,806,647,976,150,326,409,989,079,331,091,022,940,118,726,302,
658,207,622,874,229,233,151,155,996,681,383,029,242,241,331,844,836,896,945,
584,149,784,247,372,754,063,433,443,327,990,855,672,129,027,909,272,068,553,
734,912,550,254,130,168,886,841,075,708,658,067,398,927,867,782,090,187,053,
902,914,899,771,261,616,012,617,646,957,167,632,088,210,417,757,166,157,571,
644,795,007,202,199,183,548,066,204,941,589,059,843,786,747,307,574,848,616,
371,688,309,138,251,083,726,286,588,020,729,935,965,363,928,334,804,535,571,
578,605,537,237,876,669,494,700,813,080,409,508,980,423,855,852,206,771,367,
257,697,504,100,846,192,046,660,900,979,405,347,594,123,660,582,673,835,569,
384,962,851,809,308,161,767,009,609,230,522,256,523,248,800,463,177,357,472,
032,727,187,220,373,664,482,470,248,801,456,440,631,615,313,326,989,073,173,
264,871,416,487,732,034,253,231,141,244,325,156,486,670,818,526,979,336,297,
467,143,900,193,171,355,699,901,070,047,473,512,189,387,694,596,101,837,027,
638,016,841,164,594,265,015,517,443,482,239,674,931,333,220,500,290,098,699,
379,664,356,789,388,962,837,055,047,300,782,416,807,668,282,253,961,748,789,
476,308,887,726,522,560,339,245,825,336,667,071,095,144,259,286,650,962,852,
063,037,405,864,072,499,086,593,021,870,727,532,450,388,953,280,513,092,202,
591,451,447,987,265,331,195,713,421,401,191,535,530,062,873,342,506,264,517,
638,159,647,327,097,295,207,260,928,061,441,758,160,603,762,802,281,992,929,
317,232,153,636,506,442,336,296,932,271,157,812,140,926,495,401,346,277,870,
690,762,275,419,769,285,119,800,639,807,475,306,851,663,596,418,461,947,234,
630,340,951,978,586,692,990,489,538,885,905,632,478,629,755,738,259,014,097,
955,111,549,314,786,914,938,213,779,806,391,725,056,171,824,524,362,910,346,
708,184,212,931,349,641,170,198,091,442,579,476,938,549,266,703,825,793,489,
093,269,326,216,088,735,467,183,963,200,372,513,669,456,097,597,171,698,854,
445,704,922,326,149,363,018,035,179,124,302,725,676,737,453,978,209,573,135,
714,801,717,779,470,278,155,774,879,317,212,541,731,679,587,264,399,221,250,
028,738,628,740,846,198,308,608,517,881,210,117,668,963,571,304,399,685,859,
661,430,776,647,681,485,425,298,336,541,890,726,548,767,554,969,670,192,087,
047,113,345,059,526,080,928,865,973,929,528,004,468,370,892,335,248,860,028,
065,998,047,169,182,683,397,154,205,451,962,622,927,161,840,399,684,748,372,
249,419,608,301,591,291,481,023,887,060,394,327,071,540,599,847,991,713,480,
691,181,289,989,041,335,924,725,678,350,718,218,697,785,242,140,813,350,831,
436,613,507,730,852,406,274,295,902,678,695,317,179,121,613,744,538,147,365,
502,381,443,931,071,095,798,347,707,508,256,876,572,889,590,657,730,666,394,
920,669,119,422,530,002,788,836,345,702,894,445,661,743,200,282,658,467,006,
160,334,985,189,196,989,993,723,647,944,922,073,774,329,602,966,857,598,877,
139,695,097,476,813,216,183,611,616,538,997,697,091,025,428,906,631,028,443,
928,343,165,606,033,196,330,329,837,362,684,719,207,831,658,858,291,882,704,
099,475,060,607,846,540,372,518,418,091,189,518,937,017,167,780,260,098,875,
069,114,553,686,909,492,827,535,615,621,350,675,319,801,571,035,915,801,176,
410,059,762,902,396,666,142,898,155,706,190,994,186,638,479,630,646,401,344,
327,278,087,421,177,379,550,053,866,493,902,517,941,183,372,006,971,211,252,
871,126,618,126,001,135,186,436,245,813,361,923,758,376,876,045,209,502,841,
406,367,036,502,434,412,654,481,890,675,097,127,786,424,779,973,239,545,350,
428,335,811,388,972,056,747,453,401,773,963,612,625,813,848,625,155,407,698,
947,978,612,380,397,408,089,951,064,833,929,645,491,796,089,067,750,633,075,
527,860,531,848,368,266,331,072,405,384,894,118,921,076,902,078,004,129,509,
990,590,196,951,614,475,061,292,177,731,682,619,416,616,717,571,581,156,655,
541,168,331,456,456,995,548,786,787,508,554,704,086,250,570,192,953,671,942,
214,787,806,849,256,603,125,336,160,285,608,770,095,778,837,559,976,566,791,
997,518,809,425,910,246,650,459,160,965,295,066,608,759,690,013,016,788,492,
307,927,107,153,567,676,164,117,679,687,985,140,575,225,981,926,137,248,328,
304,440,290,610,094,580,881,605,298,471,190,742,142,152,455,446,514,930,776,
799,318,969,839,531,274,240,304,581,706,041,577,218,501,058,607,076,463,677,
085,883,940,238,654,207,460,629,426,686,487,534,886,099,277,971,572,091,156,
049,454,664,094,174,989,311,872,487,543,356,416,185,184,445,121,412,811,153,
012,825,703,993,307,178,292,143,174,465,275,550,476,571,631,371,115,487,779,
397,074,454,859,971,723,097,388,443,216,396,605,053,964,895,757,954,295,429,
848,597,670,808,407,134,510,193,042,624,045,238,647,628,113,105,870,373,026,
293,189,704,231,608,147,373,161,311,544,475,665,902,836,079,834,881,685,779,
914,725,009,065,741,612,803,529,679,567,401,467,535,813,977,782,571,911,587,
849,460,117,672,662,871,042,298,118,811,146,844,464,912,878,100,122,975,429,
740,585,683,279,190,694,721,615,788,324,879,031,367,560,620,619,593,638,744,
886,544,674,753,380,689,622,474,333,278,798,394,904,365,810,530,677,711,141,
433,663,548,051,784,101,772,952,853,960,160,508,900,597,116,388,030,300,700,
086,634,346,738,235,559,840,885,250,288,142,236,268,958,830,455,876,158,637,
833,059,944,936,239,652,082,296,089,075,410,098,745,064,658,551,006,315,556,
440,366,527,637,680,817,160,552,672,243,696,507,533,869,079,143,402,310,647,
514,059,044,073,583,010,330,443,978,209,034,949,245,274,631,235,823,708,502,
573,289,133,865,486,365,055,630,075,152,822,011,241,905,148,916,237,092,691,
472,080,894,705,934,841,344,763,905,977,713,192,372,591,822,055,992,111,478,
144,675,390,346,828,612,697,219,249,805,535,438,402,489,399,083,470,038,664,
351,503,590,259,814,694,790,801,960,506,874,480,016,391,611,415,902,601,507,
712,263,217,610,786,044,372,958,056,627,994,357,528,820,622,641,612,559,050,
571,783,375,118,858,131,855,817,501,663,478,861,453,394,357,351,617,447,681,
618,797,321,647,207,626,826,588,976,845,259,676,903,505,561,885,437,754,428,
164,708,836,434,884,928,359,312,994,306,250,841,048,318,402,636,933,219,302,
008,126,617,375,798,154,150,304,923,281,010,842,504,876,579,592,759,428,566,
308,375,709,189,368,590,634,836,208,708,330,261,073,330,632,543,497,936,971,
724,290,099,631,266,323,201,206,039,470,276,699,115,851,858,719,802,244,721,
174,338,108,846,570,236,743,887,782,266,182,481,373,656,014,592,668,601,910,
439,501,638,327,199,850,422,921,701,238,447,477,285,344,693,374,458,300,737,
462,922,349,140,676,288,681,052,220,835,637,325,360,461,588,740,848,842,406,
051,438,082,505,719,907,853,678,450,495,975,376,790,833,750,527,033,153,735,
663,119,707,825,732,328,106,524,214,939,139,932,761,219,330,108,214,241,356,
239,247,631,147,423,782,742,955,402,712,954,556,267,255,740,841,391,708,379,
197,265,557,925,369,544,776,028,765,797,912,006,420,293,246,949,152,743,031,
290,392,313,104,215,219,701,785,986,929,915,991,311,248,146,939,428,064,651,
188,922,445,269,560,611,644,043,613,597,702,601,225,833,767,359,733,603,379,
164,695,831,938,394,821,725,660,297,253,960,536,136,881,290,400,772,227,779,
417,453,517,542,658,448,412,176,709,319,229,348,604,122,227,574,413,555,781,
679,383,529,484,038,507,933,016,972,619,561,663,838,750,531,780,112,726,706,
222,194,549,945,267,207,494,081,556,357,305,993,426,863,654,056,517,696,958,
575,771,620,983,900,587,119,868,400,071,594,988,206,797,087,380,858,192,836,
805,572,572,620,742,027,886,681,066,204,064,167,198,635,281,167,414,578,820,
238,505,255,100,418,880,898,789,949,922,182,068,463,900,287,132,685,726,418,
607,643,714,967,805,960,045,781,136,297,456,507,166,006,469,463,570,492,074,
390,803,282,292,345,535,744,970,651,718,162,516,006,792,278,928,194,323,581,
053,452,529,366,711,433,003,602,379,984,443,333,772,905,830,432,405,836,666,
650,391,016,557,492,357,156,477,034,276,174,180,674,507,643,815,495,101,449,
925,725,035,643,407,608,301,125,955,237,784,539,325,164,781,624,795,237,616,
342,175,904,103,816,794,955,675,278,794,490,879,351,019,814,617,840,601,091,
677,831,828,788,213,595,687,570,506,264,422,723,001,086,108,058,284,938,246,
149,505,826,400,447,505,395,604,036,233,875,232,997,020,107,804,546,377,841,
964,380,867,636,713,935,960,595,175,826,433,401,210,832,694,296,468,160,132,
592,460,117,101,472,201,270,625,521,625,959,809,258,434,313,290,149,229,893,
755,592,044,145,697,012,116,905,270,728,212,933,775,149,092,587,338,551,016,
864,086,459,972,978,231,387,312,465,771,340,359,731,287,007,971,542,873,313,
759,148,312,108,127,850,212,400,339,740,444,753,666,772,343,517,391,184,208,
479,506,870,338,219,172,085,728,633,665,086,834,739,835,485,361,355,125,613,
430,440,021,586,733,705,689,431,337,484,924,622,748,576,788,534,826,731,730,
464,063,214,751,534,381,911,478,088,308,855,625,304,591,972,960,917,977,874,
552,324,993,836,576,183,729,368,772,732,391,155,157,526,934,118,522,555,627,
597,912,969,838,961,248,963,796,666,506,230,976,515,978,403,145,594,310,650,
365,417,826,080,969,554,296,194,286,340,518,455,617,878,855,451,346,025,819,
836,205,020,872,256,051,642,219,667,120,346,232,085,471,515,840,680,863,108,
928,332,524,999,478,681,238,544,872,927,128,226,440,414,019,034,767,567,438,
480,166,478,413,990,525,330,380,166,445,199,149,248,266,693,066,974,686,525,
157,798,974,340,775,646,546,689,714,055,287,716,280,220,890,441,102,351,103,
556,825,635,545,675,560,786,615,953,628,847,321,557,012,482,630,226,577,368,
336,789,154,108,252,180,427,513,602,669,565,679,440,355,881,475,742,010,148,
709,533,442,680,747,186,093,121,159,972,562,261,367,996,475,321,517,668,168,
243,692,382,242,152,761,569,330,578,351,453,838,379,546,265,464,536,019,682,
571,976,215,985,715,890,887,354,840,175,151,200,634,134,151,327,369,876,064,
815,273,425,016,469,509,801,972,372,727,003,413,801,460,459,401,813,430,027,
268,109,530,723,510,207,819,974,549,030,374,650,097,136,504,225,796,669,888,
272,183,927,470,088,277,659,120,043,276,721,314,574,814,105,688,220,244,779,
774,583,991,437,324,866,410,814,046,913,057,345,047,696,188,029,087,721,098,
538,581,996,716,090,792,148,722,013,723,373,728,511,475,843,104,816,896,608,
248,898,136,530,877,517,941,580,617,471,124,905,658,878,259,740,129,522,039,
413,839,044,794,634,607,070,588,790,528,808,347,216,152,355,689,319,484,419,
100,330,623,120,584,940,394,751,094,639,726,259,877,983,347,760,221,260,023,
692,360,706,347,646,923,049,582,984,760,214,412,751,934,806,742,661,303,921,
586,686,061,470,581,611,461,432,532,654,966,225,713,965,384,110,783,335,027,
303,028,370,686,919,920,032,222,883,132,571,914,652,417,159,628,239,794,174,
210,996,686,305,532,559,482,539,795,808,343,445,030,751,596,880,368,493,706,
602,276,522,588,750,088,807,261,719,433,460,160,998,448,955,276,210,827,538,
077,517,581,969,485,225,568,448,167,426,050,295,297,491,804,710,435,465,667,
348,757,014,126,716,817,845,266,671,256,557,337,940,636,176,935,525,364,865,
446,742,733,958,765,146,440,389,054,129,973,252,385,164,401,886,910,817,759,
771,550,106,699,935,984,565,222,872,818,299,263,861,899,720,000,172,781,102,
455,089,767,844,093,251,022,992,794,425,490,185,659,485,635,935,076,788,129,
635,653,038,314,050,552,576,453,569,185,372,402,497,791,942,209,226,923,376,
399,829,597,211,567,310,156,063,068,579,232,419,420,778,882,235,583,354,523,
751,944,262,956,710,165,040,084,633,890,880,305,365,082,991,252,058,976,057,
182,097,013,442,569,618,259,839,213,397,417,628,801,911,471,508,201,851,541,
908,559,353,938,950,141,136,648,491,242,038,543,777,624,131,107,476,558,637,
684,946,410,667,691,113,597,572,691,622,845,663,118,067,759,419,940,817,296,
734,639,174,489,202,946,173,694,323,605,662,268,169,840,466,960,754,128,911,
551,565,527,544,689,784,502,608,465,135,926,264,296,143,929,645,146,634,539,
027,229,339,401,872,334,614,765,064,793,002,538,941,072,188,268,410,685,671,
988,438,549,729,911,493,143,674,203,113,655,845,984,883,455,431,966,933,759,
716,084,608,449,551,038,307,301,996,055,331,644,350,250,600,582,278,353,873,
563,175,602,808,765,725,717,683,619,369,090,930,232,266,736,167,046,539,580,
331,544,408,900,543,338,074,805,051,609,755,548,105,144,775,107,140,014,785,
349,944,671,264,947,326,648,446,158,033,014,282,078,204,777,745,182,055,324,
260,545,131,601,169,976,692,843,540,709,907,891,447,298,228,056,397,472,248,
884,845,804,619,568,978,679,317,294,186,999,023,521,476,962,527,514,696,543,
591,404,639,226,472,007,073,748,268,082,327,524,892,674,860,843,142,536,763,
353,846,964,035,435,682,101,271,214,187,003,941,801,253,862,134,836,990,817,
715,137,291,669,999,738,013,474,551,722,251,829,310,607,947,965,745,719,407,
574,533,554,448,829,088,120,869,056,916,030,030,566,997,882,750,477,271,097,
341,206,916,855,824,053,542,904,490,435,826,833,439,133,175,668,236,948,881,
256,728,186,369,911,676,409,343,670,521,954,989,854,626,545,794,027,814,494,
292,077,501,412,194,885,921,831,369,830,786,584,449,046,850,089,622,697,459,
105,386,612,625,778,756,042,044,915,742,848,759,130,811,793,110,325,539,396,
232,401,999,459,351,038,880,962,255,952,000,666,834,600,120,857,819,545,190,
895,166,122,508,085,663,357,261,912,823,383,205,704,123,840,853,486,213,737,
204,539,391,814,316,086,409,589,976,113,882,699,684,340,516,837,948,786,896,
067,046,578,043,806,644,535,810,800,375,448,525,633,857,902,954,100,653,538,
828,087,667,008,542,901,598,487,211,888,985,267,592,736,268,404,212,561,527,
208,236,043,009,900,470,643,350,153,124,288,500,735,551,124,798,713,915,300,
047,964,942,386,181,131,290,219,210,841,853,925,677,573,872,057,233,748,741,
732,178,529,514,498,516,188,627,063,733,139,347,653,660,361,344,806,565,406,
532,861,180,422,485,207,366,639,860,553,116,415,513,182,856,487,108,061,677,
655,007,771,460,011,684,214,719,664,451,136,396,613,545,273,188,374,870,764,
305,494,204,561,370,645,468,885,037,408,644,924,656,878,036,449,237,859,685,
361,232,154,098,279,286,094,430,877,996,814,267,320,678,146,405,494,486,478,
997,858,804,830,250,600,781,432,614,879,206,828,023,420,162,502,949,838,302,
689,233,104,473,008,638,090,570,770,154,457,200,745,229,610,091,503,384,053,
554,362,530,306,850,012,511,706,127,933,552,092,542,605,871,404,752,875,445,
017,600,103,280,264,604,238,538,918,332,750,418,321,047,079,573,416,120,564,
526,734,704,087,703,659,493,804,195,194,143,728,247,975,887,022,112,047,368,
284,199,860,347,620,367,046,136,191,893,299,874,372,827,729,862,202,332,657,
431,750,625,690,741,903,515,737,692,438,005,786,419,128,790,444,691,607,518,
760,276,481,430,167,505,729,259,208,022,903,136,005,323,321,209,032,391,179,
994,044,859,316,959,148,534,617,580,396,608,892,969,720,126,606,539,172,137,
292,948,181,111,493,432,048,014,581,690,835,500,890,712,444,114,737,682,946,
185,849,909,303,252,768,406,671,496,078,712,055,499,010,305,722,586,731,116,
579,703,994,028,577,277,779,779,350,293,574,763,873,588,405,763,529,746,210,
233,009,297,505,233,047,173,876,257,456,481,681,883,525,474,336,785,475,180,
367,680,577,729,296,852,934,667,575,489,834,799,947,229,612,390,680,183,119,
845,027,471,331,790,971,731,123,091,268,631,606,161,434,556,311,076,466,580,
181,967,549,757,322,079,722,619,613,833,528,428,325,159,013,420,974,345,177,
150,940,948,680,304,455,768,845,720,575,384,780,744,091,140,200,040,377,469,
613,250,596,965,290,554,095,106,200,297,902,449,123,221,888,720,371,466,381,
192,928,368,258,393,973,824,341,787,551,875,694,338,129,006,913,964,431,247,
018,117,615,426,913,201,347,071,198,621,418,391,374,168,012,019,455,936,992,
436,417,730,829,276,506,787,559,467,416,577,067,357,751,371,010,740,385,792,
622,677,211,027,646,852,824,324,956,943,062,227,349,311,851,454,336,218,162,
662,453,129,695,285,842,336,058,364,530,407,811,952,371,884,090,420,480,664,
702,251,682,792,035,681,877,920,512,635,010,712,790,515,120,391,289,674,176,
069,072,002,436,576,816,054,725,143,772,127,895,702,968,993,779,126,936,843,
248,582,407,419,426,524,961,952,491,697,751,484,992,551,580,899,194,955,742,
073,718,331,462,858,442,144,026,025,167,349,400,290,798,735,591,439,210,111,
548,156,603,631,515,637,782,548,622,155,792,346,290,061,260,096,426,676,731,
213,355,001,911,758,245,975,604,711,187,213,989,553,013,055,677,769,670,740,
634,989,302,430,721,198,993,393,349,138,209,561,786,749,157,548,637,154,336,
989,253,829,714,814,475,727,658,782,586,274,723,437,817,124,719,593,620,897,
844,756,186,324,765,245,102,086,114,020,043,908,852,952,511,682,452,546,997,
080,542,679,433,273,891,380,768,936,061,871,759,177,977,850,112,141,068,408,
555,398,645,756,811,419,464,022,512,062,080,639,688,011,914,346,014,171,252,
820,290,392,478,248,985,944,339,457,099,531,910,408,807,731,181,987,094,146,
138,541,953,481,942,908,303,458,386,907,131,596,340,338,719,699,811,167,594,
506,929,194,263,193,611,215,380,253,042,316,334,880,059,501,484,336,707,641,
347,141,664,971,998,046,510,340,245,864,130,325,304,776,948,410,463,922,229,
180,192,369,027,021,312,315,904,946,268,588,277,013,842,476,171,727,149,789,
577,037,492,709,690,832,503,477,688,080,961,452,109,008,473,395,899,217,249,
126,357,033,632,818,412,471,554,298,270,190,255,385,151,378,025,257,060,753,
448,755,094,139,471,510,336,986,339,726,010,237,399,078,236,548,006,473,824,
064,278,044,109,150,074,340,767,367,431,213,806,306,502,898,549,936,036,563,
303,279,073,775,000,956,044,667,875,629,778,124,108,722,418,555,856,517,502,
022,571,401,798,446,304,069,154,960,708,445,538,531,459,597,975,862,468,638,
284,972,478,415,003,409,480,473,189,219,990,666,687,284,874,667,719,827,632,
936,230,811,207,573,266,608,569,035,268,688,586,056,732,304,937,717,760,215,
904,159,632,998,953,416,811,258,655,444,544,542,374,943,191,003,412,169,246,
250,596,796,206,024,696,207,550,127,814,102,522,111,548,388,561,298,130,186,
982,680,915,980,914,555,729,171,132,406,353,504,631,879,837,468,759,367,157,
179,668,756,452,048,487,685,557,627,428,224,378,688,004,441,078,096,010,057,
684,690,488,741,351,698,081,412,481,080,115,544,455,722,264,571,710,568,862,
667,050,644,863,279,468,409,735,645,718,543,517,214,315,397,330,338,829,348,
520,410,706,397,515,099,824,965,231,402,865,306,272,543,734,185,977,086,089,
757,488,693,526,627,488,320,359,649,408,267,377,072,573,236,058,041,552,930,
131,841,365,141,789,155,584,775,715,943,815,075,802,358,840,161,790,378,705,
872,158,708,216,981,470,273,006,305,114,606,887,301,563,215,033,979,994,722,
043,661,758,730,185,542,469,344,353,542,071,963,935,288,295,479,603,577,806,
522,043,359,217,364,669,613,862,026,220,263,830,762,141,892,350,507,785,924,
386,269,621,571,302,747,321,373,709,423,982,807,125,882,020,565,137,548,780,
237,079,760,633,480,728,440,546,016,581,064,833,004,228,038,008,753,012,743,
774,916,356,928,232,679,340,191,450,204,688,073,430,738,066,611,250,428,319,
909,177,844,908,515,933,749,431,069,298,615,295,549,901,577,990,926,652,057,
425,438,141,800,982,676,611,172,051,141,453,240,900,639,568,851,665,914,355,
180,600,604,458,992,712,498,301,500,835,823,072,796,976,742,816,133,623,258,
792,190,279,007,654,019,216,427,954,350,144,566,295,002,570,462,453,191,922,
012,058,090,379,536,365,432,959,519,084,564,902,052,891,613,917,144,962,630,
520,910,583,442,013,812,874,308,282,999,855,711,430,188,917,807,045,323,675,
743,793,009,889,345,330,742,174,987,955,883,566,963,273,583,737,445,492,420,
038,244,252,649,005,882,703,267,384,464,074,719,715,175,055,284,547,893,972,
203,699,130,818,246,905,967,574,268,443,971,029,744,441,137,677,975,518,136,
294,193,945,604,258,295,708,158,047,948,318,918,129,736,811,909,923,889,085,
055,294,184,823,139,278,417,906,377,655,591,845,185,260,193,849,552,668,418,
486,377,161,572,444,763,734,108,274,597,443,355,864,080,504,763,253,296,871,
030,099,737,163,159,851,827,632,245,621,088,274,337,997,866,969,883,076,444,
614,332,361,824,853,138,460,162,223,521,103,010,702,207,247,176,614,055,760,
705,100,514,759,870,166,128,480,822,993,395,164,431,984,468,141,276,098,867,
528,035,864,325,982,750,065,968,130,690,805,208,435,546,453,454,090,962,830,
303,320,725,065,077,685,860,731,638,485,118,043,674,295,421,348,582,790,850,
804,854,868,657,834,767,387,268,870,685,619,353,173,501,858,661,938,076,409,
374,611,189,322,767,268,087,401,990,604,179,546,437,336,429,910,571,994,074,
170,863,784,970,474,217,861,330,440,277,864,044,271,075,860,903,851,519,941,
095,414,060,307,115,462,976,473,726,943,209,905,245,430,476,719,726,107,672,
551,853,684,577,047,199,801,061,248,304,251,777,045,537,627,291,860,553,029,
423,297,224,552,516,028,453,434,923,212,678,354,017,166,677,926,503,141,987,
281,567,334,447,596,622,931,744,871,657,356,287,645,421,998,379,320,508,560,
643,647,733,939,464,605,540,453,346,890,271,348,603,191,475,870,197,430,482,
455,526,384,309,559,750,102,708,990,647,676,037,179,686,285,609,855,550,349,
717,951,879,322,452,636,780,611,478,143,806,388,526,708,666,640,383,739,686,
396,479,881,874,165,197,918,685,497,454,553,820,017,018,726,750,914,592,878,
437,168,300,635,238,644,779,550,878,287,650,982,500,685,460,331,870,799,159,
389,887,653,432,476,099,075,170,138,300,813,134,884,735,239,854,179,610,680,
639,311,114,435,669,335,830,419,839,130,431,758,909,985,165,624,344,065,270,
056,402,793,625,827,747,404,134,817,982,900,468,166,677,095,085,612,650,794,
938,550,281,187,244,584,304,599,717,614,358,245,580,194,611,722,797,620,398,
092,514,385,059,989,682,447,897,543,914,300,306,154,007,892,179,498,709,390,
957,413,085,327,381,211,467,573,968,315,953,613,901,901,370,307,576,847,858,
218,597,180,098,225,727,853,073,930,996,361,611,104,567,938,323,796,541,594,
540,474,517,151,493,504,581,070,752,405,805,437,774,095,583,651,932,431,592,
639,133,189,306,930,210,943,816,677,479,009,396,427,235,831,810,439,970,787,
354,232,558,109,838,794,897,374,027,345,743,213,150,216,257,921,422,181,820,
196,535,444,649,214,904,567,722,968,052,171,193,266,238,884,828,311,595,890,
779,776,113,316,625,321,996,331,024,846,555,447,581,821,446,362,461,914,176,
243,764,267,236,923,758,444,451,793,581,004,232,010,648,206,043,200,029,180,
314,521,288,505,591,476,980,051,228,208,196,827,901,092,915,946,176,004,723,
151,280,124,171,942,744,324,182,152,103,421,328,560,704,762,430,999,884,003,
262,699,046,043,415,435,152,383,421,235,883,404,240,104,653,471,841,633,600,
321,239,892,317,007,813,697,751,322,483,992,065,413,450,695,359,962,769,558,
576,009,600,316,455,929,119,279,387,161,095,825,975,058,982,636,904,216,517,
118,106,334,381,362,470,919,813,516,102,533,961,688,718,334,268,416,991,414,
579,131,298,570,722,659,293,143,105,466,732,872,139,595,424,261,676,674,733,
964,917,655,274,034,745,517,983,812,169,305,612,580,958,353,440,326,775,591,
253,419,320,683,649,798,858,912,524,930,767,849,214,055,121,094,414,090,549,
284,728,697,822,002,452,218,620,023,180,851,316,968,977,860,855,564,807,063,
933,122,896,005,654,947,387,824,447,977,099,103,939,512,291,319,826,037,986,
720,048,043,657,678,501,581,920,387,647,424,956,244,617,161,431,422,113,166,
272,672,629,660,201,532,316,514,042,159,390,995,920,771,276,865,223,106,029,
155,269,039,662,416,661,484,068,410,759,708,073,781,833,420,385,582,081,620,
528,011,403,658,089,641,603,197,121,531,611,844,796,149,161,993,224,623,187,
179,425,116,080,025,136,809,687,221,624,389,210,407,656,912,097,321,715,517,
676,372,786,640,627,534,759,721,004,078,512,926,335,285,866,665,629,765,717,
798,321,944,755,928,715,812,723,525,604,016,633,935,064,338,767,962,550,524,
200,244,708,097,846,575,438,988,989,889,143,676,770,296,497,562,903,604,597,
336,964,502,336,144,142,092,678,420,671,913,022,351,941,808,774,119,381,573,
094,723,679,601,814,407,722,754,601,996,836,512,594,575,185,507,713,799,420,
741,997,310,539,623,883,678,924,833,339,685,707,753,445,802,617,594,311,216,
703,255,176,888,480,850,760,210,000,974,414,123,388,892,900,328,933,416,200,
791,770,458,506,133,949,115,841,966,580,441,247,334,286,427,979,805,571,048,
927,451,315,688,516,374,548,045,233,170,998,692,760,297,769,245,098,611,906,
062,162,846,094,488,122,902,786,559,862,111,746,137,271,456,225,214,454,489,
321,997,797,787,803,452,407,510,934,561,020,217,371,516,271,127,403,478,515,
591,149,701,170,088,653,551,875,687,898,311,297,676,262,794,036,155,504,878,
496,313,320,692,784,869,293,337,478,252,029,776,840,001,389,005,573,805,347,
659,256,505,127,532,404,380,942,926,885,250,807,336,423,786,379,338,804,491,
114,083,403,836,216,460,938,565,720,109,131,484,486,483,334,685,103,230,147,
919,651,360,352,983,554,664,674,345,218,469,519,425,342,082,494,608,441,892,
043,358,414,888,712,208,829,227,006,836,333,389,844,541,269,461,833,845,124,
463,999,757,391,816,514,277,375,478,202,687,391,123,184,657,495,888,708,113,
627,133,642,673,768,530,597,867,743,783,544,175,193,948,232,443,190,828,267,
254,634,574,014,944,537,042,424,132,273,052,179,536,092,550,908,653,500,452,
933,799,580,648,637,282,810,353,543,889,523,126,830,781,019,689,010,744,916,
236,379,385,993,699,899,972,948,460,259,003,109,211,781,611,223,839,872,724,
229,420,551,049,031,434,318,531,015,394,106,010,565,430,990,790,752,841,842,
837,555,145,792,136,591,568,161,449,627,773,679,515,188,565,763,116,256,359,
659,500,069,116,346,061,040,170,908,685,503,426,438,055,725,109,106,158,543,
479,585,187,665,961,373,552,594,058,392,127,322,702,038,353,282,184,435,461,
512,898,063,888,927,985,057,701,872,399,307,915,269,957,656,883,946,736,922,
600,657,561,606,158,042,215,337,048,958,104,716,990,285,260,954,883,376,085,
534,482,874,283,661,875,610,746,333,239,832,903,087,860,826,385,027,080,206,
607,191,066,008,999,612,039,045,462,549,883,944,978,754,317,574,721,994,353,
402,912,156,261,780,945,864,358,587,633,406,367,382,704,796,217,824,422,220,
210,563,848,307,770,114,094,277,797,578,396,914,236,145,040,599,667,717,388,
581,029,136,518,823,574,090,577,461,557,064,999,894,959,111,665,773,182,129,
890,556,069,547,822,628,702,109,946,049,724,387,952,767,971,296,858,280,395,
587,345,084,361,289,852,886,066,334,158,817,897,214,943,980,389,438,245,318,
734,457,741,973,970,423,583,434,470,944,268,225,718,672,698,137,172,892,468,
380,540,796,755,272,211,542,947,295,605,102,171,412,697,900,579,388,475,430,
755,108,064,618,416,874,193,005,699,757,081,469,522,183,636,802,999,405,660,
524,975,875,574,078,541,579,676,449,996,747,266,380,325,890,115,195,051,815,
642,334,608,894,168,178,671,271,817,831,943,164,404,988,621,676,398,927,558,
153,112,102,396,127,126,539,233,168,668,511,702,837,935,731,061,675,300,608,
821,149,032,927,415,853,166,799,418,166,743,334,697,829,039,349,302,665,756,
560,405,570,134,374,598,425,337,022,204,814,591,831,349,977,824,832,586,182,
776,680,530,298,838,729,237,500,178,113,128,207,028,128,629,295,400,067,483,
830,628,951,832,247,730,838,314,356,601,543,308,030,916,418,108,974,584,301,
104,994,494,185,832,382,533,031,106,760,559,575,568,350,481,590,339,008,907,
771,265,196,522,695,327,409,564,778,475,208,771,745,080,638,313,562,422,099,
864,479,349,152,073,581,995,097,716,636,834,421,115,719,713,871,646,050,412,
116,172,915,168,191,557,284,219,804,927,824,291,637,360,804,716,354,398,802,
748,906,492,170,786,815,124,790,704,892,282,098,048,321,581,240,460,444,204,
265,678,129,321,019,014,458,518,445,793,085,503,230,793,437,355,969,917,955,
119,742,561,975,460,412,216,028,875,524,244,728,210,711,022,362,198,693,107,
375,140,551,777,344,346,290,126,750,829,157,272,076,428,850,708,173,573,587,
096,393,068,777,529,905,766,530,705,799,117,132,824,450,402,155,969,654,988,
007,734,028,563,895,910,782,470,298,476,655,701,111,256,380,861,529,122,456,
146,735,518,036,521,729,121,934,741,244,798,286,644,958,388,105,401,399,003,
813,033,915,429,827,259,581,134,895,297,154,211,845,306,773,967,375,727,687,
018,238,898,771,597,299,319,536,008,755,567,677,582,826,743,246,055,867,094,
311,029,216,407,379,168,003,522,531,315,584,354,300,589,879,185,231,286,630,
552,761,838,339,569,557,443,496,679,582,259,431,420,122,176,635,572,157,061,
712,109,405,697,069,973,338,031,013,514,110,776,775,114,039,693,980,772,724,
091,864,731,065,497,358,114,772,822,937,793,046,868,898,470,525,456,670,060,
163,105,261,440,021,584,221,772,516,441,597,752,676,995,179,113,832,955,125,
169,800,391,516,495,583,247,316,004,604,717,190,747,970,199,940,121,321,887,
162,440,394,666,315,955,120,444,400,564,185,669,458,322,628,023,739,953,306,
581,480,021,117,863,160,903,535,491,597,805,785,919,677,804,811,506,482,618,
518,202,441,207,487,190,366,811,443,858,317,743,156,251,684,513,424,942,732,
977,384,635,241,380,127,734,237,668,306,701,549,980,080,145,033,629,544,154,
278,868,256,540,450,364,405,845,721,161,472,049,404,363,938,598,491,797,790,
550,293,643,654,235,635,300,262,440,104,951,169,167,064,380,072,544,598,558,
386,555,554,146,145,201,063,724,459,048,739,712,075,741,165,656,627,143,614,
386,516,531,992,512,430,263,130,307,099,582,998,784,765,406,781,737,938,966,
612,064,555,000,609,537,913,915,824,430,513,822,329,334,783,705,237,464,813,
162,551,462,452,094,969,750,679,599,781,649,853,518,940,662,303,141,270,574,
347,082,532,705,739,425,651,085,772,456,183,093,215,099,091,072,575,839,841,
203,768,935,167,346,521,995,391,470,508,581,922,710,476,278,629,490,518,700,
461,057,814,596,621,886,814,828,588,056,633,954,838,780,010,715,193,282,729,
747,383,330,277,888,344,041,230,471,440,087,930,182,739,740,978,945,642,571,
620,276,157,763,480,332,004,915,627,765,104,907,059,343,744,524,720,909,882,
268,097,012,632,908,646,838,963,059,144,686,890,122,085,344,072,873,854,586,
210,551,730,955,168,557,500,967,083,002,481,935,658,200,551,243,567,320,655,
449,739,670,797,770,065,588,647,324,325,763,658,833,486,776,796,667,217,651,
121,264,314,980,981,527,522,050,740,189,332,004,124,027,987,476,254,787,081,
044,113,255,156,849,322,919,117,550,193,991,457,241,256,780,807,473,417,565,
358,985,227,931,690,259,641,624,569,450,357,419,722,709,100,279,942,249,387,
974,381,066,682,247,011,570,203,748,980,501,207,806,112,355,954,744,963,862,
642,884,021,741,244,124,714,764,917,959,293,969,035,246,141,198,276,436,954,
892,114,679,931,703,041,257,473,399,785,002,667,759,065,687,990,087,410,079,
994,033,004,993,595,421,937,581,522,622,088,073,684,175,622,742,383,921,348,
147,208,813,672,871,269,141,995,251,745,548,367,776,571,771,843,799,846,283,
245,745,283,760,883,771,714,795,797,199,634,854,948,997,988,728,717,025,901,
370,857,918,059,431,450,580,247,525,734,811,186,135,258,823,047,407,834,953,
148,781,298,526,371,492,577,845,996,599,726,658,598,727,968,353,950,844,380,
287,869,810,426,716,800,218,645,619,230,057,501,193,377,855,157,952,468,584,
223,898,613,007,336,378,388,390,354,910,452,895,161,600,884,790,748,567,939,
654,135,548,040,853,946,178,536,653,052,567,386,427,579,053,110,117,229,106,
227,933,647,133,579,593,359,371,118,089,209,333,819,023,848,708,456,293,402,
843,485,065,678,483,668,550,978,741,880,856,086,583,302,361,682,624,037,163,
633,989,517,301,841,938,831,534,082,693,986,276,455,177,720,097,325,430,279,
670,362,496,446,124,933,552,397,827,402,130,957,350,231,804,044,058,051,302,
282,615,632,545,512,787,007,034,460,169,174,831,968,094,556,531,479,208,143,
415,099,850,678,644,033,801,934,415,633,019,245,746,519,143,709,100,449,316,
117,022,246,934,083,230,962,387,085,617,086,059,238,201,733,119,457,398,106,
882,060,599,003,371,248,319,263,049,058,963,303,554,559,228,355,740,739,465,
594,783,033,848,826,485,997,621,400,462,772,556,384,180,479,975,282,435,931,
674,098,213,426,123,699,204,676,809,125,198,169,499,505,110,683,849,329,355,
367,851,461,629,652,104,728,473,888,471,318,750,863,963,382,234,396,233,514,
996,919,932,125,299,756,897,375,984,161,962,659,556,105,903,702,309,892,176,
848,015,631,546,401,537,595,605,688,331,952,937,332,866,093,626,861,184,651,
373,446,382,825,505,094,702,558,488,705,364,911,831,548,908,566,541,463,745,
810,785,707,575,719,456,036,659,768,718,830,108,361,514,254,681,438,421,871,
962,391,491,347,236,047,572,396,791,670,391,996,579,840,947,646,910,570,846,
895,597,749,323,993,479,671,475,348,061,731,776,743,501,813,696,435,443,969,
255,434,244,921,696,090,779,751,568,387,196,609,949,352,518,788,810,180,058,
901,698,702,049,916,681,432,552,882,211,864,957,940,620,953,354,040,917,635,
098,623,451,221,021,348,989,693,409,386,396,978,647,727,787,756,780,159,649,
549,016,795,475,182,201,477,992,153,562,171,998,072,753,912,750,829,001,179,
899,384,728,824,338,394,474,898,780,644,816,179,243,658,579,065,470,448,094,
958,630,526,451,768,417,532,709,444,651,806,982,107,517,617,778,936,999,801,
344,545,055,636,302,629,874,097,146,470,410,336,753,193,228,315,978,470,198,
839,588,502,592,503,499,455,692,141,645,113,688,263,196,936,574,202,904,055,
586,557,767,217,523,702,551,474,932,513,351,796,433,771,749,524,962,896,367,
929,325,704,359,510,522,203,924,970,699,678,592,817,466,075,284,801,460,466,
276,257,672,319,159,446,849,883,853,590,831,055,738,929,253,350,688,491,108,
075,037,766,718,404,384,935,376,906,263,550,700,382,596,284,453,674,430,437,
885,748,313,264,915,276,016,762,889,306,425,918,833,510,158,404,739,464,546,
241,477,696,604,167,022,832,349,554,161,373,919,201,227,165,107,468,567,981,
477,666,320,442,958,266,343,646,030,307,625,371,534,021,003,857,158,699,593,
323,569,880,001,203,837,832,927,206,363,645,413,517,956,998,379,825,365,159,
339,668,791,097,693,870,433,703,750,509,697,616,786,974,772,366,356,430,995,
635,068,265,608,864,564,721,664,822,293,016,991,741,400,356,592,231,649,181,
609,195,806,766,121,247,577,166,066,542,950,467,926,630,294,674,758,604,294,
946,233,233,719,962,781,944,415,940,660,337,064,036,650,033,972,017,718,851,
461,963,908,481,064,900,979,457,866,336,970,704,734,387,408,019,588,598,803,
488,573,437,126,852,480,457,291,374,103,779,693,728,627,113,959,865,770,640,
978,477,178,279,179,537,182,195,615,821,406,195,987,033,197,241,330,906,768,
126,856,761,116,589,292,983,339,786,924,128,107,788,589,868,124,796,392,542,
488,512,602,369,459,998,690,441,570,598,892,058,112,532,645,263,055,714,611,
066,007,508,156,748,270,357,123,054,556,320,503,240,856,255,978,628,338,254,
446,199,087,769,337,521,302,515,994,860,107,806,334,030,964,991,414,022,287,
176,767,961,820,213,192,528,218,690,211,662,991,335,910,816,488,205,548,898,
965,856,262,002,145,070,028,950,334,617,798,832,799,596,383,144,797,099,113,
229,858,811,647,518,257,131,283,380,526,360,050,273,210,384,787,593,281,226,
551,053,800,082,320,330,958,261,773,395,581,380,564,531,348,965,476,337,377,
034,388,135,760,424,980,733,268,970,814,742,184,348,787,948,941,558,686,748,
325,282,338,542,162,251,470,664,386,261,629,463,764,035,535,021,425,061,260,
674,972,586,462,171,651,318,039,005,772,012,174,505,479,813,846,565,483,518,
044,587,247,151,358,409,544,440,568,811,498,824,808,099,056,816,371,477,820,
219,417,434,503,515,514,746,179,231,489,623,217,451,141,244,128,012,956,818,
792,123,462,975,480,006,577,961,480,021,178,367,357,955,154,253,020,091,625,
263,343,665,795,983,489,657,074,269,597,053,138,725,546,301,301,194,754,845,
616,283,580,924,561,368,859,765,981,345,368,459,657,510,133,692,814,103,168,
338,888,096,301,003,537,442,960,915,530,304,574,073,124,706,983,981,780,296,
174,294,989,479,482,710,441,322,629,537,253,159,394,818,421,628,752,437,327,
446,458,910,493,510,539,708,975,890,826,020,772,606,166,893,746,405,166,257,
191,986,635,433,103,605,844,956,871,036,541,133,975,023,978,226,735,818,436,
766,244,944,960,939,892,479,279,523,146,700,345,515,194,665,235,314,957,693,
009,171,115,144,630,981,786,553,099,371,904,854,379,735,047,879,279,705,692,
235,403,160,072,396,870,088,240,935,683,359,888,684,542,705,152,840,816,932,
115,941,860,139,676,711,145,611,621,583,314,990,227,376,280,507,162,861,114,
066,564,380,894,592,556,129,527,478,532,967,308,725,232,318,771,439,438,679,
062,461,819,594,085,649,364,861,130,875,256,217,696,732,730,747,523,003,278,
469,441,695,732,486,371,140,328,848,966,791,242,276,222,622,474,302,816,730,
434,892,994,720,351,527,051,049,079,878,035,543,057,267,292,852,270,784,885,
220,580,606,240,617,343,340,042,487,330,016,897,337,078,365,858,101,682,452,
808,516,677,818,799,702,901,827,427,550,190,861,563,240,458,219,113,182,833,
523,928,073,103,963,059,841,089,875,222,130,759,297,629,936,900,455,683,014,
035,518,600,838,390,132,919,339,301,614,397,860,142,080,995,373,389,141,694,
691,394,169,672,864,046,474,002,230,225,665,166,010,737,834,819,637,006,796,
814,729,393,376,518,518,809,288,903,307,263,853,269,134,192,288,578,020,301,
838,710,478,734,738,521,807,067,760,541,048,469,510,831,425,303,542,137,980,
455,698,585,404,293,646,432,921,229,050,624,164,132,716,244,186,201,274,441,
779,368,975,957,863,349,850,173,825,166,900,410,590,912,457,623,064,468,844,
528,663,946,264,963,389,066,405,512,977,431,736,210,178,337,584,710,870,387,
770,269,628,060,709,975,858,506,359,472,787,495,248,959,964,078,151,079,168,
185,329,721,563,756,152,515,569,076,214,546,147,868,428,860,012,717,727,874,
646,749,945,459,079,398,891,334,332,560,463,694,991,245,656,647,467,666,703,
145,100,416,640,656,993,319,014,855,948,836,165,309,534,590,270,870,031,650,
632,588,801,128,859,987,006,457,209,789,304,575,862,367,507,048,826,866,607,
240,714,345,917,634,166,834,996,543,380,896,235,049,739,605,425,832,776,729,
468,384,965,238,876,482,740,828,838,453,021,154,810,270,399,687,538,528,353,
088,608,010,768,285,607,983,988,859,951,592,346,881,949,028,019,802,242,717,
403,037,211,485,623,528,314,860,138,721,723,882,055,576,114,955,119,786,366,
872,275,526,610,266,130,748,702,607,741,899,336,215,048,858,398,108,580,986,
179,315,999,734,188,275,442,603,603,918,251,929,904,772,191,817,953,305,542,
716,289,363,654,502,267,015,860,342,573,502,788,312,725,547,890,551,356,898,
043,923,923,009,495,355,747,915,985,935,532,372,551,560,378,135,466,476,856,
850,400,883,990,841,595,321,342,673,994,884,901,943,845,483,316,392,710,295,
409,209,376,225,698,143,351,804,474,528,773,854,492,885,184,007,338,204,519,
423,208,087,650,337,812,351,047,566,858,872,028,967,919,359,676,617,483,107,
818,238,953,352,354,907,869,733,059,707,517,200,808,756,185,620,148,732,268,
489,271,708,794,434,239,144,545,224,013,539,954,023,175,986,699,256,067,446,
956,055,631,022,506,946,889,297,469,519,106,796,360,442,450,504,782,122,327,
221,246,140,368,841,826,184,650,146,690,292,941,329,211,088,658,505,389,927,
373,767,250,127,027,264,245,551,423,941,836,673,053,417,563,482,879,374,874,
188,571,296,520,444,246,762,313,963,160,634,665,565,054,272,862,118,604,523,
862,346,676,190,070,075,615,153,999,280,319,736,809,103,927,207,825,446,406,
760,458,635,681,054,438,285,263,061,174,661,714,593,897,133,002,657,022,505,
990,887,695,081,569,808,865,624,434,366,432,350,642,374,516,427,749,764,236,
855,055,541,640,465,835,620,957,756,878,326,844,062,989,410,042,893,284,291,
664,595,077,472,408,615,150,938,668,386,001,142,473,619,630,498,884,221,783,
225,015,316,560,598,095,822,616,302,037,646,955,360,086,885,696,726,382,688,
092,002,911,017,266,199,067,291,746,023,261,407,090,045,113,650,277,492,151,
326,108,324,759,290,851,190,737,326,959,023,740,734,194,233,536,081,729,432,
653,037,630,767,432,652,815,511,939,262,462,469,076,532,882,129,836,483,535,
641,715,521,103,175,665,283,351,471,596,463,847,335,064,817,249,378,824,040,
691,031,308,993,428,982,532,313,084,641,709,609,259,996,897,330,603,586,363,
547,229,710,009,538,828,566,670,098,509,860,195,186,302,394,772,437,016,073,
576,882,577,327,573,778,482,560,393,574,599,082,737,499,293,989,913,899,129,
082,875,780,073,949,561,676,506,532,514,140,399,663,343,136,302,893,686,008,
202,993,593,654,352,389,105,518,795,799,142,483,329,493,279,448,886,414,472,
027,815,491,204,129,573,554,564,031,993,967,378,293,948,651,561,079,628,159,
234,677,705,533,417,418,568,621,485,067,955,711,487,777,900,521,975,818,521,
794,363,806,592,726,403,454,786,817,821,906,809,871,227,991,995,027,029,843,
725,155,136,888,776,226,980,177,224,194,392,323,587,528,923,945,633,209,297,
688,294,817,200,854,111,918,469,725,502,642,133,672,600,450,530,227,161,416,
083,287,950,277,908,659,431,655,837,672,262,721,881,379,853,371,830,466,153,
808,677,573,166,646,844,250,589,123,931,353,772,444,041,232,582,710,249,365,
414,806,050,497,864,532,787,679,805,704,906,062,291,721,511,445,804,588,752,
226,199,214,771,895,820,723,086,125,620,601,121,970,093,343,369,130,134,980,
290,441,650,999,168,938,573,363,148,336,658,653,357,548,508,259,381,457,429,
037,304,688,569,824,571,282,707,642,901,828,086,211,137,366,917,715,640,247,
576,684,629,794,004,554,378,031,910,619,739,588,772,236,516,038,609,982,555,
184,628,497,679,225,247,469,056,146,591,436,503,612,450,914,411,917,245,589,
040,346,110,404,818,708,569,845,850,066,106,186,557,074,487,248,402,554,974,
706,160,185,807,381,878,924,799,519,576,525,988,473,822,034,158,362,337,940,
717,967,203,340,625,639,878,228,483,816,915,568,133,316,681,503,412,471,857,
191,855,620,189,110,108,722,176,380,973,187,995,241,516,823,442,283,971,089,
272,065,811,702,454,949,553,092,259,299,132,984,352,683,481,008,024,440,759,
896,309,441,628,196,792,562,027,786,859,561,502,038,717,443,295,685,229,901,
824,644,644,707,156,235,013,612,271,624,160,021,259,000,671,738,866,147,883,
450,168,681,276,675,879,412,545,653,644,902,242,848,938,849,541,886,578,334,
918,830,452,298,086,493,315,196,289,535,256,111,489,192,545,152,302,290,879,
778,859,137,592,342,665,676,759,668,112,278,869,652,221,033,414,699,896,146,
945,638,716,937,640,884,914,132,967,253,841,913,890,032,252,020,535,367,856,
183,035,547,932,964,822,796,336,235,167,149,813,257,057,446,596,677,527,378,
415,407,389,250,774,615,899,436,403,699,207,718,167,555,329,681,540,043,016,
919,979,787,426,652,239,091,573,572,400,447,320,520,932,455,288,737,464,387,
540,436,101,452,104,982,322,373,289,988,331,363,203,628,348,516,028,491,697,
450,951,180,933,127,367,258,839,345,517,970,344,710,616,948,071,672,373,246,
131,328,496,109,807,021,587,476,575,080,933,514,704,448,969,749,834,697,189,
988,118,689,933,951,674,003,120,454,719,893,502,941,239,580,365,654,558,317,
709,505,902,808,866,879,869,601,443,180,326,090,554,072,422,883,906,606,383,
010,601,609,861,213,741,141,483,365,424,758,202,625,099,251,161,095,810,728,
906,794,771,605,493,782,482,579,294,745,168,464,065,263,341,677,697,607,371,
685,657,308,658,795,507,257,729,793,045,861,038,041,678,519,616,309,458,188,
492,170,662,062,572,483,031,679,766,542,046,833,746,377,334,959,980,834,982,
968,941,757,275,384,579,388,718,323,080,613,481,823,104,517,913,239,170,942,
002,344,268,849,167,622,245,139,843,523,805,429,780,757,530,595,448,753,457,
541,460,110,402,156,036,177,216,872,888,294,818,026,948,413,954,323,066,326,
792,889,300,425,765,591,827,489,159,853,305,902,280,124,666,530,870,898,993,
854,587,542,421,714,007,806,401,288,861,266,971,761,588,185,555,109,088,621,
780,724,925,083,062,455,518,799,568,466,655,086,618,163,062,601,634,112,010,
563,330,712,342,081,141,485,744,188,142,268,754,813,199,734,018,794,369,255,
378,201,416,882,321,344,912,815,647,465,354,393,625,260,222,147,519,038,628,
647,231,793,583,845,070,500,921,322,702,328,127,650,657,664,611,500,448,468,
313,280,116,867,090,630,621,866,083,377,132,738,300,870,380,614,845,101,784,
331,065,090,494,855,354,752,535,381,692,297,290,637,128,507,851,278,777,213,
301,179,104,381,757,091,195,085,823,976,364,150,096,908,810,996,858,305,103,
806,488,332,630,406,140,290,537,554,296,979,620,363,637,778,797,881,549,795,
001,588,728,022,799,278,073,522,918,997,747,122,516,074,216,345,901,851,071,
234,787,345,807,884,609,398,015,794,630,427,016,706,208,219,633,454,694,825,
732,892,907,866,161,448,338,575,729,629,337,441,857,430,825,754,607,961,626,
561,412,056,377,698,924,791,469,749,294,486,926,005,957,095,880,727,481,168,
032,798,823,211,972,149,818,222,327,145,863,963,161,192,395,617,083,005,462,
682,171,082,837,934,574,218,036,367,178,079,731,360,442,739,766,278,047,319,
245,417,207,094,203,582,638,440,617,076,924,229,304,753,851,200,918,162,294,
296,381,200,559,589,443,580,149,562,456,341,529,946,756,461,170,738,101,842,
315,410,190,638,825,859,688,227,846,709,839,918,707,275,642,510,969,667,260,
165,457,396,303,544,884,429,985,380,597,432,278,278,895,129,140,908,373,182,
436,586,183,701,108,692,297,106,546,963,284,590,143,882,862,034,747,612,953,
626,643,096,730,299,903,036,189,707,679,765,133,231,821,990,617,354,518,875,
990,735,840,463,467,255,869,762,101,817,638,325,618,979,915,060,561,827,793,
447,045,418,230,046,957,927,583,528,695,384,842,118,552,558,251,004,664,030,
956,148,088,272,532,098,283,264,899,741,239,367,872,016,094,230,295,231,301,
602,242,735,423,608,744,722,304,560,013,924,845,556,688,823,415,203,077,452,
221,924,612,923,090,164,901,101,073,624,492,929,386,404,480,093,333,582,939,
381,173,321,623,442,662,470,528,584,831,915,436,077,161,130,384,793,455,157,
740,880,961,632,053,552,121,956,439,511,352,616,804,398,055,629,868,680,350,
392,843,411,569,525,488,262,772,659,557,658,063,229,783,841,827,827,335,050,
326,623,744,348,113,800,751,918,818,814,967,908,219,023,997,569,716,175,202,
298,416,551,340,108,822,048,124,613,203,697,471,128,395,967,621,672,321,821,
889,686,653,160,569,078,834,998,222,205,168,229,636,702,765,761,103,316,701,
263,842,619,489,515,371,086,549,739,947,250,429,374,353,837,393,687,837,141,
578,168,082,252,445,984,959,707,120,567,171,658,088,326,789,035,483,276,331,
945,881,406,702,103,702,128,702,652,168,825,119,291,730,333,087,309,446,811,
109,382,404,264,706,027,790,000,206,154,998,232,041,784,863,076,201,520,339,
396,944,388,064,507,959,382,877,765,328,202,276,241,969,724,690,771,147,102,
743,962,273,536,574,549,273,552,937,169,048,325,552,069,107,033,124,147,023,
879,355,637,489,985,262,897,270,302,874,866,968,801,993,183,713,568,870,032,
379,553,759,407,239,370,934,165,046,683,060,120,793,808,622,098,575,704,681,
535,859,512,955,619,363,330,225,514,982,662,369,860,659,547,592,446,494,113,
132,300,547,311,002,680,255,915,463,938,728,922,803,000,783,591,995,056,514,
350,833,568,311,608,467,542,447,885,677,443,632,753,736,094,682,722,400,447,
970,330,223,693,764,171,725,684,229,916,468,470,651,161,447,524,281,851,164,
772,697,042,642,511,169,748,145,713,951,719,989,924,001,657,032,106,266,066,
021,602,545,734,115,617,557,519,241,543,627,802,022,949,724,590,618,088,070,
412,397,464,746,379,959,537,905,913,194,418,116,689,876,873,228,840,909,190,
074,721,702,554,548,157,012,662,247,259,964,429,973,499,517,950,277,219,141,
613,932,389,134,969,086,649,875,205,547,587,465,229,763,459,989,043,298,813,
192,135,523,931,401,826,745,405,493,545,944,576,818,480,757,167,961,672,125,
079,736,422,753,977,011,380,161,096,945,319,124,864,962,797,236,838,828,389,
809,002,745,614,983,060,376,753,937,964,917,867,480,160,865,118,768,566,389,
387,529,710,986,608,475,575,621,408,607,340,353,083,816,584,992,538,906,353,
472,554,627,081,647,986,698,750,095,237,698,186,356,967,602,681,200,371,275,
901,677,625,610,823,288,740,880,255,594,492,089,832,417,623,539,690,305,847,
646,160,410,259,668,625,587,709,798,353,723,393,127,062,163,478,521,128,674,
201,111,426,931,665,568,941,939,359,602,189,173,891,971,922,319,405,736,425,
974,120,059,806,089,488,477,634,078,137,117,931,956,677,675,682,110,069,486,
793,626,468,546,199,418,240,373,695,096,574,801,256,073,560,329,016,513,627,
589,646,716,401,890,566,915,871,725,424,051,577,761,774,751,317,161,390,575,
160,179,080,684,460,325,142,795,638,741,519,525,560,619,444,842,346,203,850,
887,560,193,005,524,769,870,191,321,923,462,159,062,937,823,303,218,801,683,
136,938,570,703,662,360,577,325,172,228,101,526,562,388,394,323,892,371,068,
158,336,859,166,455,551,520,154,365,406,390,598,944,212,353,382,715,828,721,
717,702,327,557,870,576,635,167,867,394,427,543,924,670,851,474,302,307,781,
817,210,316,526,823,505,104,779,087,882,672,394,068,351,257,776,108,132,461,
652,144,658,557,209,731,985,565,350,549,594,901,353,985,097,699,777,906,626,
580,356,327,047,491,192,308,311,730,273,665,661,006,318,703,910,909,336,409,
301,335,732,822,767,512,529,384,275,670,226,361,150,428,138,342,356,045,362,
032,039,682,874,282,524,946,829,700,974,572,265,036,488,571,901,200,303,029,
598,721,529,984,534,683,071,353,030,506,709,320,253,077,889,376,312,432,173,
313,965,959,858,508,783,970,066,018,200,550,033,348,703,146,689,355,086,915,
648,858,230,240,245,573,124,631,939,932,334,409,698,147,764,288,149,088,821,
899,515,531,811,769,203,934,794,716,989,292,449,113,875,051,706,703,774,878,
080,044,408,875,703,146,628,620,896,223,953,102,261,951,547,092,860,080,976,
231,199,863,318,549,096,681,798,158,945,976,401,639,015,270,621,147,791,362,
773,158,924,180,025,584,033,732,061,901,001,719,545,079,665,246,243,601,619,
579,777,525,699,758,974,143,505,420,814,175,770,482,548,806,859,449,880,861,
721,808,546,597,887,137,700,313,580,629,078,943,986,634,638,021,164,183,328,
894,100,536,615,821,379,998,990,785,943,616,841,256,930,980,770,714,506,535,
766,663,478,857,556,170,886,871,309,314,406,214,842,979,975,600,300,839,449,
598,200,223,806,137,432,367,735,134,878,122,665,868,451,183,918,367,593,852,
420,062,029,732,141,181,908,940,552,444,244,161,475,919,298,069,009,718,342,
676,133,035,216,100,745,109,282,930,900,883,654,543,584,714,759,028,123,819,
524,759,370,550,943,926,920,705,700,873,993,108,146,455,353,818,220,923,505,
804,270,728,349,546,506,589,421,255,108,384,901,520,576,576,481,093,362,821,
114,874,440,019,955,604,963,996,472,753,901,675,160,130,034,712,717,032,006,
207,844,036,842,030,276,202,833,056,801,230,872,835,053,650,328,936,231,887,
710,009,595,483,467,654,747,075,447,399,472,752,255,552,935,180,830,409,999,
373,423,116,420,754,204,481,163,383,666,871,607,781,021,389,325,028,741,035,
307,027,529,502,934,349,757,902,057,900,032,065,866,845,649,974,660,760,935,
827,571,471,981,608,908,642,803,409,932,452,799,164,858,751,286,540,203,016,
345,329,484,864,935,773,915,104,428,880,030,085,845,005,769,493,357,030,225,
769,869,701,057,465,241,926,418,573,366,989,821,512,185,365,603,439,981,519,
294,157,292,444,809,061,916,464,273,897,666,065,646,765,583,052,856,820,210,
278,217,940,042,042,457,571,723,874,655,138,363,714,669,430,253,255,815,824,
586,322,015,625,059,215,834,615,998,240,604,182,190,934,858,934,655,359,697,
694,121,960,546,625,887,325,352,214,794,898,390,269,254,173,134,254,720,683,
126,680,664,217,466,914,699,649,561,035,754,983,717,325,619,168,490,775,893,
489,010,907,657,353,434,026,361,863,582,796,033,755,230,390,265,865,820,745,
965,551,532,097,570,301,017,297,564,813,049,518,748,969,029,602,258,082,465,
107,854,093,809,384,266,522,020,629,861,634,223,834,538,355,249,324,074,662,
738,533,085,890,615,734,960,377,072,880,335,072,784,510,503,654,855,667,203,
143,155,557,231,210,320,930,731,425,964,461,199,658,872,388,012,597,753,084,
585,069,395,502,181,459,562,695,333,953,600,847,519,087,478,575,038,935,270,
059,574,567,321,697,137,939,173,458,225,794,198,945,317,909,030,466,399,940,
928,212,695,587,039,520,507,283,532,695,442,256,644,614,322,579,880,793,958,
713,053,475,336,667,255,003,988,224,692,894,689,286,469,839,645,368,945,862,
415,786,124,691,990,571,278,123,272,684,684,755,051,215,321,679,663,412,211,
071,931,320,388,651,279,348,178,795,109,768,663,813,273,919,290,378,321,183,
736,714,468,679,883,894,498,927,865,285,961,653,916,037,553,190,999,177,841,
608,815,310,530,226,362,617,593,222,837,093,261,505,981,822,649,675,635,028,
062,198,098,947,606,976,817,475,564,435,980,864,343,845,907,892,839,871,383,
670,312,615,147,385,343,340,995,421,044,452,680,565,557,228,129,992,202,910,
003,663,189,436,342,088,868,336,426,999,460,912,775,164,519,356,121,670,710,
547,120,303,217,357,837,153,393,533,743,829,358,021,160,124,137,675,059,684,
993,804,200,183,835,474,455,912,858,203,330,675,006,548,303,895,038,707,151,
389,353,870,863,841,598,581,889,545,312,339,866,599,366,086,509,687,232,984,
343,198,034,415,241,547,944,933,655,119,614,202,013,644,798,016,008,725,065,
800,270,724,789,439,189,807,045,942,614,339,675,413,604,648,035,210,604,447,
993,329,101,768,829,171,273,953,624,702,846,720,762,776,875,597,285,871,839,
044,825,237,714,705,240,666,940,721,529,131,514,699,440,516,333,716,600,791,
344,127,460,102,255,982,313,767,655,756,552,017,584,222,147,358,674,676,343,
948,722,200,551,510,438,042,029,508,250,102,584,412,270,014,131,840,595,457,
897,958,815,459,913,032,668,860,838,442,555,499,376,873,624,885,929,015,661,
565,441,573,601,300,179,148,105,722,185,472,510,546,658,697,464,190,994,415,
635,213,359,324,118,712,240,431,254,538,466,322,063,778,760,510,634,388,301,
477,689,248,730,497,806,888,144,426,146,054,366,154,793,762,888,674,817,290,
466,584,995,241,926,975,368,195,538,903,944,291,243,238,850,767,040,339,678,
996,328,179,349,704,970,922,081,197,780,020,616,095,566,121,424,128,165,219,
132,175,118,955,432,433,578,218,219,402,093,606,935,468,835,264,954,644,705,
957,653,608,605,428,307,707,827,974,504,828,311,770,562,264,207,254,897,943,
233,349,747,851,180,353,026,659,832,849,327,429,693,878,701,086,236,863,660,
907,291,019,060,537,216,364,941,982,565,565,260,909,001,262,367,379,107,357,
867,561,532,067,639,055,546,216,157,905,750,053,070,226,870,557,248,621,690,
468,601,395,972,354,251,135,365,840,069,249,734,661,487,769,183,971,095,330,
885,623,482,014,479,087,397,002,451,064,200,861,424,253,827,632,353,725,832,
272,089,128,745,868,249,765,128,437,937,095,372,897,480,966,206,163,794,628,
532,451,575,228,068,449,843,543,463,962,885,488,205,886,732,562,806,018,657,
355,872,610,207,909,951,734,387,300,395,345,534,044,057,574,829,009,811,280,
668,158,081,944,031,053,878,373,542,315,156,827,760,498,554,427,794,664,323,
872,485,628,003,072,648,240,809,027,218,029,967,926,014,124,054,907,552,373,
776,115,056,498,604,025,940,002,888,728,218,301,264,535,727,491,202,446,535,
158,603,213,870,168,870,684,265,527,846,181,188,999,313,033,110,582,276,410,
581,791,025,748,827,360,068,039,491,406,461,112,955,063,691,107,233,152,534,
741,001,255,012,436,200,136,417,455,207,616,234,973,343,707,287,582,719,497,
288,706,153,676,229,014,142,570,824,655,037,507,203,374,899,614,313,441,034,
034,706,592,721,252,467,087,122,923,046,742,613,315,670,156,642,606,027,429,
937,326,110,641,343,216,267,639,737,349,564,133,229,786,646,532,896,658,244,
185,709,041,179,647,165,082,455,210,291,890,322,780,536,116,609,541,188,602,
745,035,334,502,526,666,212,556,868,170,933,040,925,680,153,606,138,806,105,
632,440,324,984,177,766,890,883,728,940,419,880,734,712,484,124,030,791,780,
440,098,048,923,846,431,858,657,684,672,244,812,191,457,678,937,771,225,813,
622,597,112,919,049,777,228,055,926,943,080,439,247,187,192,441,947,360,550,
504,628,594,891,173,556,844,506,166,793,297,157,927,765,699,868,777,490,865,
614,754,444,166,282,394,387,061,701,395,276,568,985,530,955,694,544,936,773,
488,737,505,576,475,561,139,698,838,267,193,226,654,814,086,760,307,540,126,
677,332,695,533,118,189,386,072,597,219,117,035,182,043,318,031,199,648,639,
269,877,220,603,791,915,395,850,178,255,259,116,937,103,029,098,068,930,473,
698,331,802,805,135,707,906,907,481,809,393,004,210,113,692,196,435,911,589,
500,555,604,337,296,394,745,452,007,428,817,557,653,852,895,454,144,173,826,
441,241,386,891,352,104,821,440,070,700,420,773,013,279,392,361,230,857,683,
904,195,514,029,199,873,017,330,151,961,696,604,178,193,413,362,042,992,777,
073,489,097,161,960,405,097,466,874,523,638,716,998,096,718,342,008,650,535,
733,461,074,973,436,336,636,682,951,302,714,219,390,898,566,451,401,973,913,
452,339,801,182,557,985,538,949,044,041,698,233,831,019,415,758,014,480,137,
751,609,001,600,736,525,770,187,999,589,847,426,111,903,772,953,974,703,968,
985,070,704,666,194,108,845,928,340,027,713,988,133,596,769,758,760,562,611,
641,479,645,234,775,137,299,153,736,521,499,725,359,381,436,954,749,576,429,
081,966,288,962,278,729,842,093,236,104,029,913,611,989,683,805,086,240,461,
896,590,851,454,021,053,191,223,288,664,007,907,324,100,517,649,092,694,598,
112,052,294,596,904,624,970,412,703,433,653,971,078,986,972,216,772,222,384,
882,485,930,744,854,954,855,888,587,557,568,633,561,231,547,385,455,146,645,
374,252,804,469,664,819,867,135,783,642,317,379,380,301,855,023,991,553,249,
443,433,995,627,007,561,453,106,823,752,986,875,423,699,527,749,261,770,348,
401,896,391,557,876,148,773,212,547,551,557,512,178,143,303,289,003,978,493,
001,883,840,287,372,122,414,098,003,574,298,717,927,116,606,025,831,068,257,
209,643,081,115,562,780,867,175,235,218,518,143,225,156,066,645,398,921,050,
187,742,388,431,927,626,361,071,422,599,203,955,207,414,186,761,858,619,627,
932,123,167,780,235,035,501,389,761,699,548,885,804,517,146,740,852,394,120,
662,441,566,436,507,292,948,040,299,493,092,888,771,418,480,621,910,908,116,
306,298,878,938,391,095,523,469,083,711,942,758,795,646,759,587,179,254,751,
671,129,848,436,871,153,221,736,504,017,752,396,842,469,060,233,681,275,105,
297,365,144,881,357,901,128,486,340,774,341,838,912,075,455,034,839,322,437,
338,238,104,665,507,763,378,488,645,285,194,254,076,447,017,106,636,841,237,
416,006,188,822,395,709,234,486,297,209,193,485,653,311,008,976,810,429,250,
070,260,366,284,384,645,895,685,729,138,711,092,694,784,625,624,034,155,931,
561,962,873,445,811,127,786,396,685,040,962,345,329,015,880,601,915,481,988,
267,429,799,215,403,063,955,002,903,830,939,177,288,676,778,416,870,095,294,
913,807,862,016,236,527,979,127,274,549,773,911,103,621,829,845,992,933,859,
400,662,875,101,614,453,373,845,019,228,832,527,886,563,509,341,241,805,909,
858,440,566,009,240,053,978,567,998,842,060,356,739,488,787,693,678,326,326,
337,738,257,405,089,445,616,159,126,079,995,266,021,158,282,166,150,798,985,
581,051,778,917,669,627,137,479,803,220,596,814,432,060,622,720,664,905,227,
038,173,941,754,507,620,718,278,654,203,497,982,148,485,424,103,663,073,433,
112,705,565,855,124,553,566,970,742,447,672,051,230,527,605,905,209,101,904,
467,571,163,952,713,251,039,337,558,875,719,314,363,745,918,287,251,658,860,
902,919,957,986,486,729,807,239,893,185,502,022,498,028,772,104,336,123,976,
427,516,084,130,661,582,516,347,292,754,956,425,266,805,924,813,326,957,526,
923,138,540,741,077,743,073,084,386,405,253,215,618,345,170,024,805,470,719,
403,282,339,020,899,841,640,940,956,906,051,540,821,856,064,431,247,965,174,
461,783,731,006,971,465,663,054,812,962,754,485,363,222,081,928,194,597,060,
719,112,360,519,223,929,821,321,878,727,260,690,895,567,875,035,703,769,847,
912,632,907,124,397,542,093,322,537,730,145,634,770,379,893,659,326,824,940,
079,047,019,065,474,902,406,683,318,675,717,756,206,871,837,351,507,214,362,
597,559,238,084,598,497,077,106,978,152,748,138,271,706,007,063,840,502,238,
752,599,944,903,455,776,477,155,275,052,570,233,348,515,082,396,875,587,710,
723,421,075,832,979,403,631,291,528,000,259,586,014,008,641,262,853,284,975,
481,439,036,604,067,451,165,850,366,543,406,908,493,966,249,227,298,662,518,
711,834,710,892,669,316,424,504,071,431,193,569,896,436,500,429,591,841,848,
257,015,804,281,323,875,672,113,360,927,796,400,262,719,814,748,210,831,443,
974,709,987,391,617,154,285,319,568,794,393,008,625,068,806,427,837,780,313,
670,373,514,983,885,890,481,275,930,380,569,254,196,813,665,161,593,539,707,
497,950,827,561,557,581,507,874,388,514,757,425,491,405,224,662,028,238,885,
921,395,815,414,569,327,269,165,529,737,483,898,151,195,739,750,501,361,818,
152,692,224,724,084,021,191,170,908,981,370,269,622,708,671,686,474,247,784,
573,174,068,216,540,419,834,009,997,553,014,999,903,395,782,070,010,203,486,
215,625,820,754,139,757,231,053,227,496,284,753,325,694,681,519,876,717,329,
808,560,482,673,955,368,630,053,102,651,560,085,592,566,364,011,961,865,395,
534,563,570,860,591,138,228,394,785,689,660,877,826,820,129,698,086,485,556,
872,131,841,724,953,433,847,527,906,017,584,929,462,964,268,008,466,758,176,
366,962,289,524,807,671,160,847,721,336,908,883,453,920,536,106,876,055,779,
956,788,835,753,599,495,958,097,426,752,985,155,335,988,855,999,244,079,820,
348,758,562,752,936,889,685,348,538,012,149,564,023,804,715,184,919,227,810,
891,755,880,869,809,072,668,908,801,986,389,735,066,427,415,645,127,129,743,
840,826,728,226,973,055,640,651,247,547,136,257,049,737,458,592,675,092,549,
448,618,181,259,471,910,086,708,147,183,250,014,392,103,266,475,472,918,130,
132,968,781,668,956,585,134,988,755,212,763,110,544,752,907,704,236,560,054,
575,810,806,594,155,652,202,288,234,243,133,083,675,439,333,245,880,082,162,
658,159,823,688,161,306,627,712,194,723,110,092,521,809,749,939,588,733,414,
635,539,016,563,232,035,467,022,138,564,417,132,471,382,233,854,590,870,036,
743,914,121,574,621,917,565,059,732,904,366,903,441,680,139,224,269,725,645,
026,308,391,604,022,104,825,162,860,326,837,987,566,129,454,313,008,551,276,
773,339,521,835,275,888,550,440,197,572,920,730,570,344,401,038,026,675,872,
568,610,548,378,002,476,342,913,775,964,287,367,678,674,345,100,594,831,449,
716,564,733,823,639,277,060,697,454,984,429,051,702,838,609,558,986,000,098,
701,647,176,905,560,252,670,128,249,246,253,461,829,782,410,969,240,754,838,
269,507,281,032,498,162,930,276,659,773,044,852,186,986,357,327,793,354,140,
252,091,316,110,595,988,559,892,831,086,542,184,720,015,956,913,390,251,759,
029,731,677,024,959,019,399,869,743,354,918,759,961,509,875,107,443,838,741,
992,723,922,599,000,594,572,129,750,326,770,285,242,858,911,113,041,410,842,
615,044,466,249,336,029,514,456,477,292,855,986,474,504,100,515,361,847,806,
846,061,961,240,158,529,940,367,363,250,722,903,869,814,387,618,982,852,263,
641,070,869,613,817,961,291,987,618,242,143,759,664,568,330,198,235,105,214,
639,722,223,177,400,428,538,278,732,433,568,736,960,860,473,838,171,584,044,
365,393,485,789,372,157,255,866,617,007,153,046,503,629,949,545,794,653,226,
087,750,715,388,043,050,947,652,656,072,145,713,546,689,565,633,082,535,066,
906,498,842,207,323,979,579,713,449,195,889,672,961,494,417,992,973,255,883,
305,526,216,953,310,973,019,667,122,141,044,877,798,730,695,200,987,668,849,
144,574,264,308,263,837,345,566,813,966,806,027,514,709,867,788,683,715,772,
122,690,193,049,820,838,134,867,010,681,508,106,025,796,107,487,818,189,464,
909,672,111,301,283,328,285,799,040,137,002,394,902,150,564,450,802,073,557,
173,762,745,476,690,044,217,785,921,380,362,832,387,346,632,974,339,449,222,
431,492,844,071,374,119,039,276,992,264,899,568,186,774,761,377,696,124,306,
468,250,489,181,249,883,688,031,165,320,506,440,575,400,364,228,660,659,354,
952,901,436,137,374,648,260,128,882,591,386,988,234,243,583,788,745,410,898,
493,838,775,782,019,416,057,368,431,138,518,914,644,203,275,003,790,544,132,
811,858,346,686,975,370,031,310,307,206,525,211,620,335,881,672,231,573,542,
652,829,343,309,941,786,018,960,801,764,430,309,972,673,767,747,946,354,770,
951,023,746,971,173,565,753,905,433,043,917,544,646,829,773,086,608,986,971,
380,126,567,844,228,410,098,129,172,476,855,510,443,958,128,538,639,969,839,
557,791,999,963,155,786,557,904,211,071,338,728,426,544,673,649,829,682,560,
145,799,988,610,571,541,653,672,917,098,729,848,497,142,704,651,230,538,389,
714,086,103,238,999,819,015,493,252,833,464,466,230,623,071,789,773,763,375,
172,812,106,160,144,943,410,459,092,653,310,935,722,415,586,014,715,901,359,
646,946,231,650,602,892,458,089,343,383,270,245,491,737,880,636,494,860,893,
096,278,381,061,444,548,350,890,456,869,850,327,853,148,145,426,758,597,748,
404,576,811,743,298,230,440,919,247,643,256,539,746,897,004,191,650,518,631,
075,383,029,097,611,111,025,057,063,135,040,738,475,067,912,503,070,384,085,
775,800,079,237,100,188,800,693,376,087,565,029,030,982,462,653,373,861,749,
572,563,960,434,812,996,830,367,985,925,714,727,143,606,102,653,912,468,580,
355,228,956,792,747,918,559,501,489,143,080,838,728,966,671,053,108,660,016,
926,405,639,346,587,879,557,032,391,014,934,973,596,392,397,303,768,568,871,
039,327,617,074,657,126,245,894,856,520,931,302,496,711,026,681,308,746,882,
154,517,964,818,682,915,833,472,778,255,700,849,390,277,947,837,746,455,609,
477,395,701,901,750,650,172,790,447,796,542,409,147,099,854,887,747,856,949,
652,031,622,036,178,789,598,704,395,466,898,098,944,544,057,020,147,365,975,
658,216,756,149,813,274,253,943,552,104,506,286,511,046,384,189,323,573,250,
761,071,943,311,212,517,888,352,223,488,108,250,770,615,428,845,381,891,173,
510,248,538,889,927,552,133,884,531,979,560,042,677,343,639,355,872,074,343,
014,266,067,876,616,315,198,342,084,226,667,162,568,255,316,778,335,196,681,
388,608,552,236,886,325,966,383,543,932,660,778,370,482,040,894,350,171,019,
865,407,981,724,009,116,294,041,950,334,931,428,104,306,109,983,582,268,378,
273,211,446,672,383,037,830,888,253,787,027,610,944,224,967,247,550,091,439,
390,279,997,704,648,937,305,202,353,549,475,471,678,490,322,472,693,497,456,
945,952,834,646,393,005,195,921,171,731,906,128,079,176,936,724,450,987,357,
047,558,201,514,426,983,269,447,367,236,739,847,048,263,482,159,744,153,360,
998,508,004,548,205,289,817,510,534,339,961,432,191,849,367,696,694,486,132,
647,815,473,675,431,374,981,190,627,806,855,839,108,250,282,735,232,086,504,
119,304,161,750,326,149,072,068,012,193,929,265,746,083,804,958,164,827,276,
173,188,941,024,519,706,926,265,785,326,050,251,456,970,041,060,523,010,291,
485,803,557,982,546,632,623,266,146,769,115,073,998,700,301,098,229,525,471,
431,027,690,036,713,392,860,382,551,966,453,189,477,635,832,348,953,705,420,
372,975,540,997,444,405,576,358,661,337,303,209,066,562,212,704,932,859,199,
957,674,143,357,869,928,362,070,918,258,355,761,655,235,769,787,804,652,211,
902,808,964,403,232,911,688,465,181,557,026,649,939,010,731,358,490,274,197,
718,987,866,290,752,105,308,861,596,701,144,109,419,122,592,256,946,774,567,
010,872,134,307,933,724,420,076,719,923,920,618,339,203,740,343,313,498,079,
304,347,133,383,893,799,326,556,303,810,265,479,559,271,238,501,178,132,669,
059,198,683,709,764,877,451,683,762,946,324,067,900,082,722,945,763,728,066,
836,064,138,575,089,563,428,342,776,238,003,609,485,792,244,310,693,120,506,
512,438,262,903,821,324,711,333,602,527,338,042,545,759,961,673,638,765,382,
670,698,204,385,328,387,653,376,790,645,280,091,893,142,498,257,144,287,849,
434,914,056,184,069,111,147,470,870,301,024,436,797,464,080,315,504,118,737,
347,558,486,508,034,516,989,721,038,654,827,809,212,395,609,981,247,198,628,
597,706,833,499,831,451,496,389,488,633,805,255,655,349,726,410,452,748,191,
999,301,531,646,277,178,570,986,419,183,842,026,678,108,574,918,842,101,449,
202,602,094,761,058,150,324,207,684,038,799,292,859,536,350,796,848,636,487,
900,731,247,607,249,510,960,716,181,690,597,306,904,892,363,108,692,590,098,
521,670,192,266,083,315,237,672,383,973,050,291,658,294,192,839,043,843,074,
580,967,071,993,665,216,676,249,112,194,301,355,790,152,768,672,948,570,709,
101,487,858,297,845,722,233,355,148,436,861,929,400,541,272,647,775,403,853,
648,066,337,871,945,313,633,404,058,509,211,316,608,103,248,650,405,609,703,
406,958,940,702,909,787,290,331,959,111,552,293,438,159,352,981,496,090,776,
819,351,140,927,987,750,265,730,440,816,941,542,765,816,294,918,384,759,660,
883,316,869,712,109,214,084,957,338,972,843,197,926,848,522,748,739,169,008,
814,224,586,884,690,419,885,596,655,615,436,529,682,287,403,022,528,563,694,
057,395,519,561,750,873,667,914,088,386,203,119,800,837,065,325,237,330,949,
672,396,906,051,598,893,215,754,264,848,969,635,129,272,249,201,948,085,188,
955,840,258,664,887,473,583,978,550,354,824,868,893,023,571,852,972,634,074,
303,335,915,243,804,457,342,146,372,739,345,485,276,696,327,667,690,829,838,
670,143,503,732,949,057,322,259,794,691,485,262,774,989,195,525,288,605,495,
379,839,114,104,970,439,271,954,356,878,273,067,677,711,288,433,336,955,413,
999,805,189,217,871,475,006,205,234,153,512,237,161,723,839,011,110,159,559,
031,880,602,200,642,232,134,551,599,804,836,349,639,505,751,171,987,432,239,
487,466,045,184,920,266,917,846,938,775,429,676,904,785,205,633,951,457,766,
850,985,535,062,639,008,125,194,957,650,041,927,931,248,592,537,251,401,499,
541,629,857,334,241,668,127,876,737,454,512,333,425,073,527,133,353,784,608,
629,607,077,178,505,111,535,747,013,264,629,626,884,276,655,362,627,156,012,
495,165,430,096,567,644,887,146,277,382,697,856,623,690,841,130,809,657,131,
302,223,459,108,592,021,437,734,454,658,955,016,640,897,326,060,326,144,363,
460,542,403,409,544,620,704,369,463,934,917,863,031,267,860,628,654,291,161,
157,854,278,878,713,057,554,016,873,478,339,135,365,586,883,198,284,307,052,
938,887,412,907,184,511,778,378,746,774,539,063,014,035,007,236,303,218,621,
712,474,513,086,218,952,889,873,260,109,178,450,041,968,628,880,019,667,462,
576,212,489,466,710,372,378,515,125,339,297,252,727,850,006,051,002,676,841,
796,155,234,356,224,429,741,578,609,817,054,173,887,433,668,862,403,750,401,
402,157,725,052,185,809,501,334,889,209,587,458,659,852,985,937,595,103,012,
572,776,354,054,857,277,584,675,552,947,997,033,602,390,076,351,816,681,560,
633,357,298,309,979,242,473,640,689,866,560,976,276,413,334,625,672,274,203,
683,046,413,591,134,275,812,999,214,790,994,022,987,853,478,511,053,120,260,
783,928,409,971,741,554,222,428,869,776,329,578,609,542,133,539,714,218,652,
535,868,472,345,928,290,646,579,552,274,353,112,753,872,905,782,191,387,731,
459,911,716,328,246,155,737,592,403,913,468,752,759,573,737,884,844,872,964,
692,168,040,678,023,390,051,210,659,669,733,694,438,813,632,448,368,298,460,
402,014,164,145,501,456,820,860,600,165,657,932,460,653,650,694,394,007,387,
951,252,010,808,127,876,325,118,209,318,994,359,287,821,585,532,769,449,368,
878,703,069,045,227,030,716,031,344,077,386,284,625,747,482,863,808,115,962,
641,912,126,561,353,279,667,043,799,206,764,283,368,120,687,616,436,769,167,
120,923,320,970,517,231,065,033,204,593,866,481,714,892,276,363,719,043,221,
017,998,123,527,394,875,729,975,916,142,944,674,000,901,845,296,948,222,752,
266,494,576,275,082,401,852,576,159,946,789,746,183,283,297,729,181,655,847,
245,521,025,722,905,782,454,663,168,855,914,910,465,731,643,387,439,225,313,
211,445,469,880,658,514,369,851,813,650,589,346,943,824,828,527,301,178,375,
195,649,510,701,819,029,185,062,215,579,631,528,245,130,693,114,814,145,297,
224,685,100,389,565,498,341,206,736,784,323,091,952,759,097,502,062,701,223,
898,974,218,276,240,896,988,910,584,525,209,688,664,412,114,975,555,576,207,
431,352,024,674,076,384,193,143,183,766,611,550,054,035,671,135,564,998,328,
405,321,834,146,523,851,812,302,482,903,620,151,326,510,002,770,958,907,607,
149,706,445,020,689,826,232,579,599,894,598,195,253,363,309,902,382,721,152,
963,927,055,896,715,160,909,934,386,072,348,115,710,439,972,547,344,374,271,
311,402,352,524,823,542,005,167,532,772,813,211,885,927,041,820,450,842,241,
458,406,379,214,294,815,979,841,217,910,238,021,680,939,638,603,681,722,751,
965,273,889,476,547,368,530,560,855,733,543,808,526,182,130,129,249,360,054,
241,624,603,786,652,995,323,882,754,186,257,326,863,827,943,079,086,444,199,
087,368,657,015,944,265,402,425,505,377,380,404,512,160,012,571,777,402,510,
613,517,699,870,633,618,863,951,288,105,008,170,647,329,541,113,842,724,687,
786,367,802,937,433,324,406,073,716,878,821,529,016,407,505,236,400,046,636,
369,961,030,624,747,316,601,728,437,685,383,077,676,125,601,661,363,757,522,
174,956,785,113,265,134,926,782,268,294,045,316,442,577,325,721,684,070,708,
025,141,309,408,744,102,249,265,448,625,078,289,736,523,275,505,778,207,320,
522,573,806,043,872,123,542,537,584,512,144,330,133,820,455,004,462,405,980,
113,811,373,763,024,368,239,767,429,922,472,816,750,169,247,834,170,403,498,
397,501,500,741,273,884,848,613,834,980,025,118,116,888,698,636,346,254,443,
633,419,257,914,120,571,938,219,454,760,397,196,994,633,037,393,060,630,273,
425,851,606,204,103,202,138,379,294,380,492,003,040,801,058,881,729,856,440,
955,838,502,053,583,216,288,511,415,601,277,666,095,863,021,425,830,926,620,
850,814,347,606,530,503,006,603,465,832,580,428,989,985,692,952,479,452,190,
016,069,447,890,214,975,204,098,674,986,868,703,320,264,947,829,752,973,172,
857,422,334,900,132,172,299,429,703,424,224,223,174,145,081,908,468,841,564,
319,840,607,652,468,673,633,402,553,042,338,900,050,255,775,094,706,131,671,
542,771,081,347,086,618,423,617,762,097,612,512,944,639,643,014,608,817,610,
737,957,306,311,504,384,340,168,727,348,216,198,621,093,103,368,140,876,445,
570,555,064,190,632,077,364,933,790,420,700,569,153,718,698,420,546,431,941,
191,331,873,447,544,521,659,946,073,226,495,273,502,540,905,736,369,575,820,
587,389,617,970,047,720,079,252,183,600,904,712,682,511,783,005,779,088,105,
281,259,872,008,857,489,491,857,522,362,081,647,579,753,655,268,939,821,870,
042,239,181,015,980,707,832,059,972,798,126,769,396,255,128,981,494,333,781,
652,306,257,891,999,069,271,445,645,381,623,658,170,868,928,307,343,026,328,
490,384,775,346,102,935,236,091,322,447,075,547,308,801,617,947,060,210,694,
730,133,156,276,932,447,751,269,155,029,083,978,069,880,817,524,307,237,903,
828,232,122,282,296,789,175,177,428,331,995,847,465,532,852,417,579,134,586,
346,211,848,139,440,862,340,708,074,518,307,843,678,753,736,075,753,140,930,
058,098,965,035,609,212,237,065,000,718,821,539,409,051,340,541,016,484,075,
160,954,153,977,732,876,646,598,925,587,554,306,921,061,556,371,038,918,921,
402,017,054,592,918,222,383,218,512,226,562,939,708,643,905,972,122,444,958,
989,846,815,992,179,006,642,952,430,785,318,633,791,449,316,302,094,424,016,
896,677,584,770,909,426,302,004,461,928,169,158,637,789,780,992,994,208,548,
943,340,399,316,736,332,038,968,815,115,653,120,242,308,618,562,428,045,992,
670,311,533,328,211,052,482,279,998,778,857,424,120,535,071,845,606,322,769,
491,093,187,988,304,299,400,869,258,783,715,679,676,355,622,715,426,604,979,
105,106,709,229,668,448,862,820,630,030,810,439,404,572,757,501,235,996,072,
959,002,051,277,439,107,637,619,396,804,229,325,482,132,278,658,515,708,796,
024,672,927,732,846,932,742,198,419,410,437,041,020,987,375,436,528,802,355,
850,088,424,405,123,988,029,115,952,938,672,878,148,715,350,647,552,887,868,
814,055,593,727,439,133,193,140,546,216,144,963,733,360,577,576,860,547,280,
318,112,264,205,837,245,855,217,245,770,955,717,482,089,921,565,275,210,533,
266,998,095,868,490,220,457,500,164,823,895,758,188,123,998,386,854,687,117,
518,265,833,464,764,335,029,004,174,475,015,982,965,803,498,223,830,376,050,
903,636,212,261,122,973,310,475,598,843,289,181,312,970,325,429,580,043,158,
213,527,669,191,443,505,381,764,170,335,469,215,053,145,482,280,365,155,531,
274,788,860,037,634,505,457,331,621,528,354,317,400,059,002,258,982,674,365,
371,848,111,756,982,556,234,436,667,330,762,664,767,321,142,051,645,334,493,
621,315,959,013,579,141,709,752,730,310,563,630,231,006,635,498,989,924,246,
621,260,629,347,796,205,806,101,875,853,537,028,448,147,227,929,273,346,971,
564,187,285,399,742,238,196,291,962,600,862,603,076,829,987,945,280,242,812,
643,574,067,021,067,647,010,611,334,128,464,256,604,792,435,282,925,563,475,
828,234,655,664,322,743,917,100,740,443,751,501,787,833,602,035,727,987,699,
705,078,926,716,522,625,934,574,092,893,440,438,249,915,784,803,837,967,837,
278,678,522,212,278,390,967,452,227,099,074,553,744,188,590,654,333,943,911,
334,359,284,355,508,829,901,294,112,622,665,230,388,810,641,201,058,425,366,
314,739,144,744,034,011,601,387,017,602,642,263,983,727,548,124,346,360,838,
090,876,251,415,634,882,664,949,808,330,342,302,634,949,991,900,194,037,442,
484,530,111,829,796,336,233,253,231,352,888,784,774,586,626,936,302,330,997,
482,533,889,170,636,162,050,030,791,136,822,114,477,931,311,398,754,695,113,
769,117,055,114,392,043,712,629,324,476,219,008,219,966,661,375,060,018,063,
842,229,457,065,708,605,918,214,961,830,264,045,551,489,817,415,440,932,479,
635,269,244,856,329,514,387,676,016,969,273,802,859,593,835,207,986,894,751,
133,961,299,470,348,639,770,689,115,873,839,134,697,713,144,795,001,369,445,
452,575,321,849,670,984,046,096,986,343,437,485,888,494,325,597,452,120,648,
587,718,172,781,987,600,470,717,027,163,941,087,584,142,214,183,171,959,247,
764,402,087,253,428,819,812,032,564,350,774,224,387,387,351,369,347,724,877,
763,203,754,367,867,915,857,195,748,602,440,152,653,870,935,338,806,640,481,
946,116,354,843,316,779,765,556,412,647,853,677,098,652,710,217,494,542,215,
832,329,601,430,271,262,338,979,174,873,090,586,943,916,129,004,076,081,340,
690,221,110,745,528,680,455,768,402,683,701,873,319,482,748,157,818,570,852,
885,724,569,692,148,386,056,561,772,301,256,050,245,964,121,913,215,332,765,
478,311,682,499,655,998,137,139,529,034,019,250,558,437,946,108,465,777,643,
703,017,143,110,865,420,190,854,824,720,110,606,277,478,258,647,194,433,627,
531,472,137,698,389,464,186,455,589,346,695,679,021,078,237,808,770,829,712,
480,494,767,496,154,836,509,476,492,424,338,017,639,634,445,823,340,302,715,
088,579,718,441,840,468,396,264,221,945,373,617,989,124,775,668,278,552,787,
527,608,490,961,842,801,396,516,452,322,964,078,952,503,845,115,950,028,228,
870,957,756,063,677,875,381,128,733,457,601,427,919,402,812,006,819,283,765,
630,514,531,844,667,262,446,345,868,796,899,538,278,031,732,211,798,251,732,
221,568,448,339,287,878,612,736,935,708,636,318,117,742,300,927,052,445,167,
559,184,575,946,468,907,354,722,525,602,827,846,133,636,735,978,259,896,926,
067,027,818,129,593,007,578,669,876,434,056,735,828,257,188,899,547,021,727,
043,842,449,849,822,200,300,192,190,953,017,057,172,647,216,502,636,779,646,
940,744,400,544,722,500,008,384,588,598,733,745,789,750,862,591,590,184,076,
215,656,045,306,051,335,708,425,557,573,900,173,382,051,947,330,496,576,803,
186,048,403,295,303,257,040,273,209,318,964,711,199,329,650,800,882,880,752,
047,600,523,148,811,149,463,272,525,670,017,973,133,483,226,128,170,341,549,
671,543,207,421,073,793,265,589,350,439,574,211,302,042,033,171,259,904,141,
324,019,653,457,595,196,479,034,975,591,663,793,654,917,675,340,915,528,081,
856,558,349,685,051,705,091,241,989,223,497,280,196,132,456,550,979,097,820,
771,862,652,573,884,456,086,341,592,311,555,066,509,506,777,321,317,764,763,
223,715,706,744,363,190,739,782,365,664,096,280,748,234,110,333,075,166,005,
255,854,027,479,448,660,770,844,257,560,462,046,620,747,271,320,052,387,077,
048,832,066,829,016,603,967,870,187,287,684,147,742,888,463,440,341,521,165,
086,635,691,954,291,672,164,599,780,767,990,796,623,582,731,464,582,001,776,
051,403,622,827,437,526,576,153,744,993,705,724,160,813,110,717,862,213,689,
802,209,281,283,918,140,270,264,997,809,889,833,530,171,319,896,395,106,931,
599,019,280,998,755,507,258,971,106,690,140,328,952,720,162,630,124,313,604,
025,526,263,917,128,076,866,688,883,621,538,701,632,587,777,592,508,850,699,
644,129,953,419,399,446,658,872,848,929,165,326,385,735,120,777,881,637,625,
580,018,990,459,465,239,314,727,020,706,607,332,265,112,392,506,119,590,160,
558,924,098,399,380,549,270,520,302,862,205,452,255,693,623,153,059,306,136,
125,339,981,186,239,062,088,116,765,018,753,586,248,849,710,067,533,116,683,
415,216,262,963,468,107,735,916,413,791,393,986,232,383,323,666,243,139,012,
046,162,535,900,012,538,782,145,284,224,751,359,251,736,641,762,192,707,081,
123,348,021,050,285,259,300,101,593,404,284,337,100,679,847,835,382,403,350,
818,963,802,163,370,796,744,299,383,043,882,595,876,568,230,530,781,096,386,
416,104,887,372,504,167,034,253,289,647,592,057,534,772,901,541,280,430,198,
643,109,955,123,769,811,435,460,521,458,130,744,298,988,825,351,920,162,612,
311,257,432,364,497,199,055,425,893,136,386,554,447,744,971,677,453,210,062,
542,602,008,053,552,087,709,172,791,073,317,071,584,251,281,332,157,967,103,
832,059,887,743,537,493,014,858,409,212,077,190,680,789,250,322,786,961,670,
707,886,250,722,614,966,664,403,777,131,038,093,205,217,135,505,547,993,144,
886,722,793,816,657,986,313,059,654,639,199,781,164,912,418,873,426,228,814,
210,125,766,218,879,461,910,031,243,558,738,999,100,833,719,431,742,799,712,
218,097,395,523,466,273,548,787,683,830,011,093,457,588,613,611,569,477,555,
649,516,096,035,360,485,075,101,914,228,942,664,140,954,164,408,122,402,213,
301,351,829,508,943,337,889,538,748,470,640,790,736,364,332,227,361,151,364,
167,568,208,301,577,484,811,765,762,549,292,906,662,866,513,275,435,235,597,
814,967,333,777,968,764,407,156,101,480,185,962,087,597,334,727,889,472,365,
771,612,839,369,887,971,600,273,193,047,016,164,927,250,974,172,787,014,457,
422,566,841,435,023,277,519,494,641,935,940,266,303,875,748,747,524,448,131,
156,146,627,184,810,727,560,735,893,221,401,058,084,202,711,381,587,558,562,
415,565,515,644,059,464,395,485,979,292,034,850,773,452,019,418,403,655,370,
272,216,371,502,467,310,994,861,500,411,909,936,168,416,010,542,628,941,973,
575,964,037,893,900,579,961,300,916,901,788,394,492,604,046,709,531,896,623,
665,557,612,630,237,835,066,284,831,981,641,960,450,889,417,291,865,150,844,
400,149,151,389,833,754,361,809,829,517,502,213,853,066,959,805,643,938,374,
393,803,806,559,899,745,998,661,571,934,660,204,270,675,323,165,945,016,170,
850,875,211,898,261,236,487,820,347,959,298,774,777,308,140,357,582,729,179,
656,274,620,182,407,225,128,832,390,849,777,930,928,729,756,029,572,003,058,
921,252,244,137,250,677,819,967,578,604,777,718,846,489,434,293,407,611,067,
890,850,204,611,429,360,704,276,402,222,950,924,145,254,429,652,011,928,548,
272,561,972,030,966,340,544,066,455,583,713,370,414,833,867,724,472,411,708,
722,757,499,334,068,844,091,651,372,973,950,206,235,978,908,448,803,370,618,
862,748,471,598,780,020,713,446,728,120,189,135,952,507,283,043,425,781,408,
602,913,239,006,044,821,096,687,786,575,005,665,418,080,558,770,667,628,164,
414,980,419,581,793,489,933,552,166,441,101,520,961,660,350,280,807,812,715,
118,289,116,160,986,737,663,170,944,935,361,737,200,752,939,655,619,782,409,
724,665,963,485,639,587,812,288,075,388,349,007,989,243,995,162,754,823,624,
876,924,295,484,879,197,927,653,067,996,958,583,485,975,618,170,982,446,636,
692,299,150,456,892,579,434,522,621,891,728,447,119,473,547,657,164,352,734,
690,220,116,865,508,619,328,981,093,600,951,423,904,693,541,183,062,936,944,
555,121,932,079,594,775,487,828,071,191,019,420,530,469,361,775,056,598,293,
046,158,701,742,631,149,127,579,723,316,872,081,578,956,009,833,001,482,267,
994,542,788,585,858,928,193,301,010,818,447,137,883,622,157,624,198,794,142,
390,493,128,338,082,212,512,570,911,144,654,586,866,656,499,221,749,880,042,
458,174,622,059,329,719,842,879,848,585,427,669,943,894,825,599,402,891,687,
442,494,036,038,060,172,099,943,284,976,067,957,275,615,724,232,771,392,118,
233,221,944,201,719,051,081,700,306,228,524,984,559,669,249,077,495,812,460,
645,981,584,031,932,043,009,556,079,699,537,055,160,732,471,577,315,654,681,
059,534,135,704,594,460,117,505,216,740,205,397,996,356,052,430,950,818,290,
571,758,293,749,969,954,007,238,714,512,373,736,944,092,140,727,546,077,134,
859,832,835,295,460,242,352,423,990,720,318,890,929,929,354,922,223,369,913,
026,774,248,202,440,065,610,419,597,767,636,303,207,017,258,583,412,546,561,
175,939,281,266,528,481,041,139,814,179,295,042,767,498,548,149,199,529,034,
314,530,136,891,503,062,139,907,530,731,189,097,859,893,480,012,247,129,972,
542,066,455,189,010,556,832,927,755,751,345,222,771,787,992,257,395,241,904,
091,889,627,426,015,165,447,457,483,640,400,740,909,171,296,436,462,845,165,
017,315,838,877,775,309,197,573,704,151,427,743,558,928,978,933,504,279,366,
731,609,980,911,520,491,622,340,702,746,275,789,490,449,890,856,876,007,003,
727,746,946,463,725,296,941,689,617,950,775,217,244,284,455,506,743,411,952,
810,274,359,559,856,743,874,737,632,971,036,649,890,116,565,611,022,783,330,
318,104,530,156,536,688,802,376,211,874,422,995,107,142,379,420,456,522,871,
723,296,803,441,199,520,174,621,973,574,649,919,330,125,841,152,937,571,213,
353,387,309,421,379,491,263,250,559,733,259,474,962,721,069,565,703,714,639,
567,611,166,494,972,051,869,232,251,262,859,507,847,948,517,844,378,336,460,
422,476,963,045,753,196,688,572,027,345,681,763,461,584,084,467,763,583,137,
083,074,064,024,028,789,190,626,455,018,319,361,955,705,152,865,224,072,816,
167,421,557,271,313,273,490,922,307,684,642,222,884,690,524,885,648,692,037,
406,576,194,433,796,859,617,873,653,387,651,116,719,488,048,818,136,119,941,
219,005,044,286,432,552,893,980,384,837,372,611,291,051,796,018,733,896,466,
466,537,257,011,336,280,064,466,787,963,403,899,987,291,589,943,951,184,783,
879,708,895,612,732,068,643,280,223,573,381,941,756,481,935,708,546,139,797,
473,341,026,865,127,521,333,035,231,836,602,007,072,055,413,808,132,727,325,
607,370,742,519,845,464,991,649,819,835,427,831,336,410,800,244,096,399,532,
089,365,938,208,496,014,169,493,455,199,615,527,104,833,101,064,607,281,264,
767,241,006,929,280,699,368,474,292,623,854,080,201,265,519,924,497,056,831,
451,296,180,575,391,273,568,233,928,732,905,554,707,092,185,753,067,584,264,
876,153,431,610,189,852,669,918,504,270,965,089,160,561,855,855,243,308,752,
071,610,971,753,240,704,618,906,551,996,944,642,299,813,752,259,602,573,696,
330,143,072,644,775,840,310,031,314,327,013,790,688,962,017,503,842,989,905,
078,646,507,953,153,742,979,423,300,509,792,690,317,316,713,946,876,403,198,
526,524,808,030,549,973,988,748,576,373,172,690,859,874,565,883,308,660,312,
070,594,050,107,270,972,010,373,647,246,026,308,206,549,010,440,542,330,861,
266,889,364,338,384,178,105,252,553,089,743,148,922,910,451,152,586,888,308,
688,197,163,876,536,196,731,214,909,088,328,142,959,279,790,816,270,121,242,
981,949,441,241,318,486,122,539,044,774,075,302,116,896,655,854,966,679,217,
611,547,056,464,002,069,548,703,114,271,672,275,814,050,588,492,992,309,301,
787,250,702,155,037,354,632,734,813,741,981,333,189,040,597,105,621,248,125,
975,864,269,050,853,602,932,766,999,287,779,755,984,978,483,388,220,373,806,
855,243,269,566,415,435,826,253,991,086,638,506,072,597,200,293,123,438,021,
879,367,853,568,785,736,395,873,587,020,574,367,545,385,065,856,336,506,306,
255,032,753,572,874,196,096,495,479,479,949,147,145,193,240,857,861,090,761,
102,520,511,906,518,062,001,149,458,428,630,296,523,437,748,345,923,811,341,
154,271,399,883,650,265,582,813,085,918,993,211,408,849,566,529,491,994,729,
520,719,670,136,681,527,301,614,075,394,124,600,497,833,498,414,005,025,624,
523,507,843,041,991,684,205,352,586,146,896,808,771,715,262,819,704,398,864,
088,583,501,804,633,478,781,316,798,018,645,999,421,075,419,839,562,644,112,
559,496,907,676,846,573,010,189,213,154,897,283,200,843,358,015,445,481,323,
007,136,874,952,625,374,903,465,022,543,174,216,546,691,269,213,952,750,318,
253,792,296,547,448,063,152,360,232,709,390,563,188,351,380,114,290,184,281,
063,754,376,577,857,043,763,194,221,076,793,640,037,920,138,784,592,400,457,
392,073,829,614,989,255,318,369,957,486,404,645,770,339,998,563,861,872,659,
929,557,255,511,665,369,606,398,882,956,106,101,419,112,643,512,388,783,962,
287,325,362,564,754,415,506,870,587,131,172,665,579,700,088,014,871,204,571,
263,161,703,045,187,293,822,135,527,065,162,771,855,710,659,737,310,448,197,
236,973,359,519,282,494,221,564,755,020,975,223,371,375,491,055,462,827,029,
535,756,130,045,046,563,417,978,298,178,379,769,473,870,182,463,837,973,983,
275,633,780,734,248,763,332,500,919,867,363,366,884,841,516,944,428,425,100,
053,424,608,352,537,031,641,099,691,564,524,454,108,036,546,794,983,278,517,
852,783,877,594,501,599,552,940,954,395,493,204,325,835,308,760,593,647,505,
850,375,948,846,463,637,571,149,323,304,416,185,290,481,008,576,504,664,162,
743,572,574,904,993,624,364,825,656,477,768,045,744,506,007,344,943,611,326,
265,006,845,562,535,123,793,177,147,254,591,748,588,056,578,165,501,552,166,
993,041,601,729,891,718,166,879,925,560,610,060,300,502,579,304,673,780,253,
448,379,672,786,148,179,693,697,553,689,216,296,927,179,046,108,507,488,338,
355,115,982,150,290,246,706,546,026,683,771,572,922,107,688,965,578,838,385,
563,004,010,668,733,704,965,723,483,510,728,531,224,981,399,963,606,935,564,
089,464,887,840,060,688,023,826,878,587,199,851,681,950,063,235,854,270,723,
418,913,484,013,860,428,211,739,321,217,653,986,819,258,121,585,115,594,213,
207,838,098,787,463,747,305,532,329,922,365,695,426,488,282,943,645,857,888,
032,417,275,955,135,477,427,166,482,021,219,092,108,517,654,720,442,589,122,
506,963,075,232,913,866,207,755,218,981,209,705,500,201,882,991,742,255,483,
965,377,727,683,084,013,133,003,979,204,606,436,524,283,066,362,755,070,119,
563,333,969,466,855,215,104,429,664,447,493,337,366,559,110,780,220,503,756,
914,036,752,414,545,798,133,585,908,673,454,805,439,217,297,602,727,641,893,
608,179,344,765,500,001,072,389,553,529,173,916,745,306,630,647,522,512,705,
044,059,992,780,977,833,560,459,974,358,440,350,254,020,060,603,227,275,611,
491,086,569,905,799,159,888,793,259,040,931,703,214,423,958,652,617,654,964,
562,549,943,884,738,230,688,061,329,250,296,004,714,182,482,203,608,827,973,
746,720,412,454,038,529,348,831,348,891,624,886,573,996,707,418,082,057,693,
761,720,516,768,711,328,640,909,751,270,218,020,966,165,385,621,081,731,753,
047,717,933,007,869,399,414,742,301,731,337,435,145,575,713,702,148,701,884,
456,645,990,881,302,653,298,002,960,439,593,635,230,566,230,718,136,862,320,
052,058,864,816,122,054,874,129,247,440,005,215,416,443,836,987,132,468,476,
549,811,705,967,956,695,219,525,804,203,004,383,809,907,635,192,467,515,053,
774,154,736,026,919,562,942,792,015,932,885,207,878,619,179,366,633,739,486,
493,324,255,149,628,975,334,039,916,994,065,994,466,146,308,262,039,244,535,
215,033,949,703,241,291,697,102,281,063,449,272,468,381,721,124,865,110,460,
906,030,150,629,002,960,552,155,671,229,272,847,756,955,095,063,789,267,132,
287,446,029,363,518,898,329,188,689,534,421,328,834,417,777,043,154,047,232,
453,844,804,465,876,435,331,418,694,782,667,735,632,639,449,286,062,239,894,
245,122,599,427,090,063,916,924,291,436,571,272,740,716,076,262,483,561,258,
118,607,178,573,211,170,778,987,103,700,805,722,963,485,025,191,862,809,386,
966,633,850,290,501,712,764,719,106,304,628,787,749,300,140,410,037,292,913,
432,109,584,949,615,592,530,523,262,737,129,051,677,298,424,746,574,484,738,
450,167,997,431,256,844,115,640,126,554,262,897,994,711,788,676,000,375,903,
476,338,490,217,887,038,326,587,188,561,012,203,095,796,280,253,198,222,265,
328,992,990,983,934,839,992,927,697,276,150,859,971,723,604,516,960,772,434,
643,778,533,147,064,439,049,682,921,863,788,013,408,670,737,087,657,864,047,
793,665,185,039,281,817,243,030,561,772,419,845,577,640,399,136,278,319,300,
378,602,513,251,206,197,788,421,517,955,429,497,178,402,290,403,286,507,646,
095,965,995,739,424,466,583,530,527,136,449,429,036,447,537,294,696,368,803,
853,349,308,605,401,077,447,937,229,476,505,307,759,461,577,015,712,499,141,
913,010,220,880,490,222,913,639,519,541,406,783,435,142,677,637,976,017,757,
849,080,442,575,731,541,733,524,993,231,105,671,938,348,427,462,761,556,839,
584,884,851,566,496,222,962,499,446,312,554,890,501,901,503,328,600,217,791,
047,099,371,344,338,509,516,430,202,461,176,892,756,917,608,810,934,692,859,
091,813,579,416,504,650,558,331,781,933,893,301,733,264,558,435,290,763,059,
783,180,060,873,150,218,801,916,672,750,339,570,844,915,952,187,929,403,131,
503,378,428,061,521,413,740,368,545,418,295,780,407,568,664,213,704,500,285,
412,343,956,692,695,175,051,746,021,875,946,369,292,470,583,870,806,282,763,
981,512,128,199,281,053,721,113,831,584,961,184,168,379,836,557,624,799,684,
260,120,917,887,517,848,299,592,378,430,125,224,072,436,515,945,436,831,069,
265,226,692,800,695,391,960,306,308,563,019,825,415,046,064,106,323,193,493,
784,868,225,986,924,156,788,546,655,683,362,249,357,746,835,491,371,155,496,
493,165,156,472,849,565,592,421,805,562,712,306,900,549,856,988,388,489,609,
186,219,004,225,684,899,539,686,907,056,058,985,417,632,349,138,592,098,103,
643,700,153,303,339,590,920,168,181,795,289,458,296,416,524,236,480,046,722,
957,324,784,982,553,609,749,747,696,956,211,770,862,166,103,622,625,420,466,
814,682,481,555,331,578,620,998,324,515,737,007,826,972,932,715,618,199,246,
217,610,244,305,218,196,653,280,791,526,417,966,272,453,334,685,830,710,458,
944,488,393,269,972,356,033,149,289,149,397,055,956,760,116,987,762,514,204,
857,334,994,195,283,648,721,014,802,790,283,441,564,312,372,683,346,591,433,
974,634,691,945,938,141,170,970,644,496,076,605,210,711,778,689,982,376,712,
376,462,574,506,053,278,256,477,075,886,114,824,902,371,872,387,366,832,738,
358,487,672,257,084,323,432,109,181,200,791,167,755,273,605,985,881,564,284,
669,042,817,765,713,903,506,444,546,353,141,482,334,290,931,631,209,767,697,
548,316,400,885,969,747,264,732,243,900,600,417,914,422,604,043,938,269,624,
176,224,538,543,488,748,743,175,835,696,987,799,914,380,478,350,694,079,594,
969,946,485,983,571,847,851,862,077,965,483,342,334,869,261,867,525,372,970,
912,145,875,046,978,439,069,476,708,252,701,864,649,638,686,938,481,659,599,
842,388,305,187,201,820,934,309,179,635,748,296,725,116,388,076,056,986,040,
795,176,772,530,091,181,122,359,660,421,891,181,066,037,111,702,665,674,329,
808,769,486,857,295,675,801,588,624,197,555,528,698,446,303,887,296,686,846,
559,456,342,071,897,228,574,985,930,431,630,043,688,664,229,367,643,682,154,
118,249,815,538,099,123,091,433,449,695,704,178,205,139,939,908,817,798,436,
156,040,513,378,496,043,980,826,605,578,090,469,964,149,170,313,170,962,642,
512,010,202,377,316,588,224,949,694,078,880,584,842,556,182,607,021,239,618,
748,496,418,395,101,124,842,647,598,052,056,003,828,230,869,485,380,696,761,
219,115,371,632,899,193,910,785,335,266,033,325,292,629,079,377,312,097,197,
153,444,888,086,879,774,559,252,589,562,884,850,693,377,736,128,416,241,928,
695,067,382,320,684,971,507,414,074,528,050,640,286,366,633,404,725,463,004,
201,936,172,308,338,467,155,828,985,825,179,274,044,993,399,210,375,436,994,
621,604,456,804,421,557,943,276,632,798,764,470,138,001,785,503,047,327,539,
048,517,781,500,650,471,998,520,192,109,587,983,840,374,560,352,240,566,836,
342,074,285,108,194,896,614,845,820,016,790,470,780,258,869,259,993,516,639,
535,230,671,328,510,548,776,317,065,729,854,846,826,241,724,204,376,652,530,
754,835,516,073,536,192,157,601,929,166,282,554,732,710,463,873,951,813,969,
310,504,132,319,920,159,311,573,929,372,498,741,538,963,575,635,126,745,406,
159,475,252,791,110,435,643,574,195,529,537,664,505,209,428,364,062,008,482,
518,764,886,920,779,647,680,166,799,187,204,297,867,736,219,965,152,350,043,
378,216,548,624,612,529,803,173,074,159,794,071,296,788,724,100,859,644,094,
282,231,486,117,895,484,176,212,372,963,792,942,893,648,907,121,575,549,628,
267,720,300,891,034,623,872,669,533,281,806,268,518,706,697,526,505,212,211,
257,779,943,591,812,689,767,507,766,014,129,100,354,177,199,336,309,195,951,
158,305,099,210,003,899,552,463,206,441,762,275,304,768,977,552,174,976,795,
437,301,828,642,500,743,180,860,143,174,373,544,169,452,592,796,817,587,614,
074,534,607,627,624,222,774,743,924,721,941,201,560,433,452,206,060,366,956,
814,699,646,132,397,836,865,033,686,104,319,853,403,134,876,908,355,255,710,
573,015,373,882,354,600,397,043,959,594,651,971,618,443,990,844,115,260,727,
396,928,321,267,307,861,412,636,121,080,990,759,966,832,173,751,457,532,022,
339,958,987,237,658,549,301,348,025,467,763,341,943,530,986,157,429,257,687,
253,043,554,353,944,131,509,261,686,989,823,912,014,609,338,484,368,062,410,
329,922,078,115,359,145,796,696,156,961,618,284,180,922,418,667,351,702,538,
108,472,710,541,907,036,190,485,345,035,112,738,712,455,219,928,653,330,952,
962,587,468,037,640,423,328,011,906,502,389,585,829,553,153,570,787,358,052,
731,963,147,084,822,657,150,867,499,536,881,453,965,115,019,645,643,372,608,
511,463,674,454,721,546,355,434,985,980,320,684,493,105,095,990,891,499,198,
527,096,023,395,675,822,698,644,553,342,790,715,601,468,846,778,146,884,302,
062,621,297,086,368,201,866,822,661,904,293,294,983,747,728,908,301,824,161,
422,679,524,378,661,075,600,365,081,729,698,044,941,721,510,118,796,531,054,
317,550,735,067,402,812,306,739,381,780,763,703,080,290,560,660,912,526,357,
000,533,622,571,412,539,556,508,742,289,324,010,550,418,789,150,704,292,151,
885,234,580,693,822,402,128,049,221,592,703,967,062,504,702,506,842,462,808,
567,466,160,277,525,080,058,758,166,307,788,235,241,124,192,179,561,018,249,
130,162,730,266,861,571,522,598,264,552,813,378,937,266,893,353,708,013,973,
765,563,861,752,068,704,440,950,430,551,616,855,105,659,451,468,330,880,799,
269,338,477,088,933,916,968,149,041,255,686,905,856,760,542,393,163,189,251,
118,207,221,316,647,639,545,921,794,168,286,592,622,498,117,972,749,630,536,
131,351,624,755,849,691,441,037,067,679,982,908,919,104,940,184,310,728,051,
396,992,832,366,166,694,322,025,482,710,013,429,010,625,598,276,603,673,440,
240,995,858,048,077,111,702,468,612,549,603,402,132,794,981,698,049,664,849,
947,173,034,110,594,405,667,896,440,078,117,791,743,821,324,850,683,338,971,
956,922,640,603,436,155,812,613,501,143,838,007,066,389,377,634,788,744,927,
396,500,213,293,732,595,304,884,024,617,946,224,335,631,834,405,437,721,833,
235,555,841,573,746,392,118,794,253,396,787,031,850,792,747,267,722,217,470,
637,097,321,323,947,665,627,193,279,109,490,460,952,716,387,049,864,005,263,
210,961,967,681,345,031,193,470,057,427,584,243,411,452,438,242,512,560,721,
130,241,190,622,128,360,968,136,093,381,659,833,022,836,679,711,214,512,710,
022,130,216,403,834,962,081,644,096,553,303,420,168,319,764,319,492,403,176,
164,572,241,201,040,620,677,335,028,574,370,763,806,749,065,862,776,538,865,
940,383,183,654,199,028,242,689,340,598,761,715,164,160,069,206,506,361,569,
242,560,927,544,816,615,376,868,469,398,365,588,902,539,557,547,138,955,798,
388,406,649,544,803,147,348,322,687,542,633,463,460,499,107,722,888,551,707,
865,936,578,531,557,364,544,885,912,876,524,063,165,794,027,345,177,917,196,
984,107,778,036,671,662,536,002,241,224,346,179,283,200,760,345,696,245,965,
324,530,904,018,743,181,427,078,824,526,909,690,583,543,682,417,999,588,626,
989,026,396,210,733,471,542,603,570,204,650,864,476,883,393,381,843,782,882,
195,691,090,848,150,860,719,336,089,390,942,961,442,758,697,963,366,826,530,
829,295,086,038,258,146,739,011,417,139,670,434,095,945,999,885,431,942,713,
546,321,838,439,337,052,914,781,853,577,560,871,184,400,673,900,197,464,412,
957,217,705,131,181,953,186,111,859,513,500,433,132,426,186,598,816,566,921,
090,740,696,822,224,164,019,164,416,124,833,251,870,279,189,776,892,848,000,
048,081,716,362,858,891,962,894,729,700,087,864,979,459,703,338,026,448,154,
231,684,553,968,726,708,192,601,269,106,085,248,301,790,862,784,845,484,401,
592,430,226,704,177,149,282,215,914,871,088,620,686,257,728,751,952,941,691,
181,335,246,186,822,448,593,852,482,407,425,213,447,058,460,264,529,517,049,
419,825,461,259,061,804,579,393,031,654,713,633,077,822,997,877,681,328,020,
866,122,809,729,972,216,146,663,975,023,224,474,075,445,843,622,710,375,841,
387,642,393,865,608,245,686,010,450,007,517,088,510,980,507,813,176,852,954,
420,911,023,507,209,307,619,533,083,068,976,755,792,135,092,968,720,163,511,
346,511,890,565,923,480,557,370,004,632,543,623,305,528,158,205,805,852,387,
494,360,266,599,740,899,999,382,248,581,916,686,474,355,968,625,716,783,848,
785,812,073,229,559,892,240,994,866,489,385,176,924,744,907,330,799,925,468,
674,195,339,140,195,674,884,888,575,111,421,213,172,939,254,838,074,508,134,
447,151,910,882,874,289,820,456,095,811,095,768,310,922,185,620,736,729,456,
452,896,664,341,218,411,425,027,956,385,716,100,740,053,379,272,308,152,495,
976,890,072,962,211,100,417,251,478,961,624,046,363,966,607,433,162,214,525,
515,372,902,384,470,313,729,146,472,138,980,831,774,513,926,285,119,738,502,
353,179,521,750,478,135,725,218,893,532,076,207,056,579,013,194,000,889,148,
794,497,401,292,260,930,505,761,872,144,577,028,264,421,938,731,466,349,813,
900,705,147,553,168,432,548,914,558,641,623,278,462,569,578,556,941,774,968,
265,983,122,896,963,215,238,547,582,248,872,940,751,612,976,384,403,015,503,
266,201,190,488,885,471,600,794,484,599,228,223,119,361,415,053,752,378,847,
322,873,694,486,346,006,083,496,404,243,610,762,527,888,512,636,996,995,167,
604,475,557,506,085,170,655,601,935,108,758,075,992,746,186,775,934,512,584,
223,294,885,597,390,535,645,847,324,112,935,448,198,764,931,486,128,630,498,
082,096,648,554,713,647,795,994,483,086,112,062,682,509,400,922,261,815,640,
277,931,156,477,368,834,581,638,137,348,465,989,937,662,647,385,039,579,534,
288,774,229,466,905,063,607,708,834,671,623,147,349,728,763,514,282,471,509,
145,686,285,713,172,681,352,824,389,696,547,891,385,466,132,892,026,455,054,
450,288,016,664,978,976,030,276,385,883,509,557,043,048,340,879,487,349,733,
889,599,890,315,431,142,695,895,078,398,216,092,584,844,606,010,897,380,046,
210,251,791,150,092,004,026,081,718,465,536,951,062,398,309,921,467,934,390,
767,334,612,293,887,989,453,950,778,206,522,745,134,163,306,557,216,007,226,
140,140,522,121,865,464,389,195,979,279,338,542,352,544,816,284,425,669,722,
137,456,775,072,642,764,363,731,923,190,424,402,163,491,199,120,051,615,040,
480,313,859,949,712,971,595,542,176,069,711,955,056,595,955,366,868,699,073,
229,805,386,655,894,586,836,095,365,815,108,719,524,737,490,102,329,287,510,
735,931,792,621,561,752,394,863,508,348,181,314,315,173,936,355,401,028,134,
508,027,521,174,036,811,693,346,657,629,302,863,877,214,602,380,176,247,450,
740,673,814,640,236,983,927,626,755,569,656,242,787,392,184,456,152,904,250,
335,411,305,478,046,604,654,110,113,374,759,747,645,817,399,543,899,347,108,
092,173,691,784,257,497,225,001,996,662,473,425,743,221,150,188,164,629,879,
510,672,177,311,188,781,085,182,714,448,796,110,506,396,293,083,474,095,369,
107,314,998,727,858,672,474,993,443,280,451,335,945,552,257,312,781,133,469,
585,278,796,313,595,582,195,937,432,578,119,356,187,224,097,674,277,697,454,
454,050,972,304,327,824,032,596,160,778,780,065,147,907,295,363,284,318,826,
199,818,021,495,448,262,490,148,289,427,917,953,456,894,783,780,770,727,564,
391,585,944,011,712,503,814,249,302,336,035,429,615,057,131,643,033,866,364,
591,910,482,429,738,916,615,472,165,231,930,361,412,594,717,386,260,431,087,
965,731,522,585,580,671,566,173,715,772,940,015,319,299,824,478,960,921,118,
997,004,226,789,959,361,114,336,476,225,160,681,963,290,181,209,751,045,978,
003,093,968,182,653,859,817,508,562,904,275,753,032,750,069,637,564,264,279,
505,768,172,616,170,120,323,403,277,840,593,017,610,143,767,793,151,020,345,
124,638,665,435,008,580,954,348,628,784,198,693,173,067,671,586,784,303,603,
396,581,179,531,491,023,608,007,671,163,724,081,753,016,408,877,979,663,712,
311,565,478,882,692,850,921,141,019,263,763,302,627,486,071,106,936,622,443,
465,074,265,455,707,116,172,416,660,380,553,270,097,535,860,561,437,109,468,
747,198,939,831,126,162,792,649,212,200,216,060,923,682,602,159,427,008,172,
710,411,524,346,179,583,128,569,493,324,209,200,059,971,324,546,728,649,412,
467,003,903,601,242,543,783,832,459,129,457,096,066,089,035,980,923,008,769,
169,859,222,205,308,980,193,108,913,345,961,396,453,222,849,162,745,560,942,
390,153,156,228,076,900,683,863,867,067,687,995,845,155,907,614,010,140,190,
759,797,982,181,003,056,126,185,054,882,452,996,202,611,824,382,948,321,191,
065,450,071,685,794,204,226,815,400,138,574,287,551,791,805,229,969,980,272,
459,712,660,106,020,516,487,719,033,394,472,799,543,249,149,376,189,318,288,
641,587,993,180,529,430,238,653,377,628,017,166,996,887,221,034,054,727,397,
948,267,595,436,516,787,799,607,216,975,328,298,142,677,596,895,610,382,024,
220,951,159,806,955,456,074,032,949,675,383,126,161,537,265,072,262,712,084,
110,565,536,265,560,005,910,549,933,030,511,706,274,098,409,083,908,381,427,
399,597,795,295,462,891,720,250,765,698,814,118,109,339,829,531,817,945,681,
600,174,410,377,509,655,334,702,338,473,122,153,767,090,462,558,898,153,675,
891,800,108,986,962,283,525,603,545,507,652,678,506,491,393,469,976,055,994,
727,026,367,309,175,277,757,778,687,632,215,950,496,013,562,863,445,481,473,
717,182,298,280,564,816,154,669,454,889,832,612,260,287,476,184,008,771,615,
525,193,387,781,592,726,203,328,462,441,280,172,514,433,244,249,648,383,363,
355,553,218,532,297,511,089,273,889,145,625,501,688,635,970,363,329,593,889,
645,084,806,286,401,496,540,445,914,136,198,916,591,016,172,557,898,479,569,
345,064,198,149,967,309,892,865,735,301,529,988,319,018,461,126,736,556,225,
115,773,193,761,152,656,366,691,054,515,141,051,139,216,428,858,530,970,379,
028,837,427,995,599,357,139,615,031,124,865,297,288,915,698,791,944,248,463,
217,012,404,644,780,867,388,035,914,083,169,426,224,514,751,560,442,529,514,
084,605,185,142,317,990,644,677,801,496,095,943,276,493,439,059,127,197,198,
785,996,768,831,186,350,410,775,820,093,739,674,850,703,971,738,561,520,068,
291,648,629,336,268,288,557,610,014,074,963,999,869,524,825,239,941,106,606,
043,796,382,810,396,050,108,928,671,413,971,864,197,188,000,616,739,051,420,
902,903,654,326,160,635,412,506,430,023,784,257,916,368,325,873,934,701,296,
933,846,609,119,500,086,359,419,324,234,820,848,946,905,735,830,607,347,608,
757,157,387,486,438,392,562,211,428,542,540,176,746,764,316,018,268,999,200,
304,689,558,873,004,726,995,181,919,088,957,176,448,774,039,699,402,024,739,
016,541,350,717,590,900,669,737,512,342,230,880,197,615,612,033,733,579,344,
618,584,743,735,701,918,602,970,254,879,913,241,858,129,325,469,707,983,039,
454,963,687,410,816,449,523,038,423,651,523,570,254,042,295,253,603,790,915,
501,099,802,650,464,795,336,534,380,736,213,769,405,434,559,648,561,976,360,
174,630,392,430,967,573,804,225,299,150,095,538,178,153,498,667,539,319,232,
579,137,605,603,336,689,122,635,594,559,276,690,334,416,171,870,902,916,019,
330,576,682,156,273,719,004,214,101,518,009,401,859,190,502,418,627,690,659,
252,062,723,969,630,739,273,362,972,346,267,056,907,356,127,067,038,363,569,
218,177,792,980,434,615,946,471,369,590,038,406,000,586,644,215,685,421,574,
188,232,621,145,707,789,071,512,370,118,384,527,004,110,930,413,417,106,014,
406,252,541,583,335,651,537,847,084,162,142,204,508,678,607,758,617,158,998,
578,289,562,411,231,591,293,603,986,049,102,955,226,019,004,187,862,767,450,
063,016,563,427,275,027,436,430,054,142,586,258,735,037,539,078,450,447,227,
793,482,728,491,917,214,876,531,983,889,635,262,453,926,677,647,444,502,197,
917,457,279,639,655,148,497,050,135,648,128,467,262,606,596,188,019,271,220,
990,554,794,932,407,602,760,860,263,751,196,991,968,217,074,621,886,157,059,
767,396,823,090,262,198,172,256,344,576,775,422,806,878,068,852,198,186,161,
050,741,305,606,515,669,962,249,996,430,942,367,120,518,234,303,930,182,218,
141,566,165,352,849,066,177,756,707,864,184,229,057,082,996,473,626,336,921,
839,552,242,350,194,246,085,456,354,399,461,240,543,751,796,549,118,801,692,
925,421,681,492,146,668,455,841,288,423,371,398,853,810,223,691,762,404,009,
529,162,283,229,872,155,687,211,534,487,768,205,818,431,731,153,368,051,581,
904,972,663,298,772,797,783,645,466,162,055,692,985,940,633,634,360,651,283,
877,799,494,209,898,554,861,958,005,405,272,066,374,566,692,568,718,183,085,
768,545,479,212,759,352,278,976,337,496,537,104,716,660,985,619,164,248,163,
755,834,750,882,829,578,254,191,810,073,201,827,736,127,151,409,632,609,290,
896,195,450,603,555,444,777,199,737,890,235,055,564,528,649,131,578,807,993,
810,251,887,819,530,525,954,222,443,451,634,965,197,054,031,402,467,102,783,
003,053,452,461,153,485,504,578,065,434,475,620,496,665,244,378,761,023,714,
477,689,571,626,405,366,585,338,274,861,476,751,147,435,942,166,622,918,838,
842,302,364,357,644,715,217,294,422,664,370,716,809,170,945,934,984,039,837,
474,136,799,595,848,077,615,829,938,394,923,735,932,469,780,148,097,067,004,
361,066,641,004,300,920,929,190,770,758,426,580,944,173,072,830,994,310,431,
688,843,998,387,023,675,319,746,417,620,416,619,628,387,875,202,327,808,484,
166,616,114,176,159,059,682,921,673,989,812,307,022,325,531,024,594,955,161,
902,375,360,709,715,028,082,854,909,117,716,851,101,090,830,104,629,660,296,
036,576,117,531,348,705,722,357,670,965,607,779,072,477,131,395,666,159,620,
126,923,174,625,652,477,662,531,862,866,607,531,368,617,630,676,185,826,730,
200,532,083,153,757,710,968,437,605,791,195,698,146,393,178,900,975,794,296,
643,620,998,977,548,015,933,532,368,965,689,998,280,560,958,691,185,336,562,
140,300,454,401,316,968,994,482,533,807,873,343,885,439,211,790,893,475,556,
455,993,796,764,609,031,924,553,056,196,242,143,490,375,079,091,655,920,223,
426,677,710,072,948,036,045,748,993,776,605,069,475,052,734,564,700,741,876,
511,777,827,163,284,204,988,583,841,939,445,500,430,222,040,667,338,524,811,
500,645,793,038,030,312,917,135,997,180,009,151,070,482,890,403,665,579,134,
041,466,996,120,571,608,717,091,816,760,549,501,243,606,906,908,983,553,870,
120,222,512,842,370,686,934,633,843,093,215,043,836,197,013,749,162,018,490,
708,023,436,830,390,815,970,005,889,655,937,559,940,555,197,400,351,171,460,
213,720,945,685,021,842,764,898,982,489,049,088,794,190,628,246,939,342,035,
542,242,268,551,756,336,606,037,827,820,825,982,504,513,309,929,612,838,440,
376,592,385,159,321,956,936,132,900,187,455,242,661,823,934,305,981,971,963,
815,443,262,368,995,517,306,978,645,469,920,000,671,867,014,977,903,190,556,
472,603,161,992,530,380,765,181,458,831,661,373,235,838,595,640,861,140,737,
675,056,973,838,892,712,729,019,026,474,705,541,363,649,828,006,579,600,315,
788,236,305,233,360,672,800,784,304,297,510,747,433,482,825,308,171,408,203,
430,963,634,276,521,883,439,931,673,014,486,755,983,072,473,479,555,842,880,
053,793,971,984,311,665,919,862,116,273,756,059,438,189,308,104,102,844,659,
105,989,744,501,970,197,742,963,898,178,711,497,987,833,834,319,039,913,551,
956,072,613,344,125,228,957,263,008,917,105,126,305,372,337,998,341,905,782,
614,708,872,101,802,431,081,999,696,668,291,645,924,931,267,736,217,352,999,
032,867,989,844,132,183,335,437,742,324,967,071,854,660,175,266,991,253,640,
703,426,948,391,202,199,502,153,912,614,653,960,521,117,929,381,895,188,116,
752,618,631,409,544,466,367,923,667,988,433,194,865,872,304,422,199,745,366,
642,626,060,573,083,225,926,378,129,163,615,573,867,309,113,480,319,047,466,
234,599,826,256,334,915,203,213,030,162,532,513,687,823,214,547,571,037,731,
492,726,823,678,898,935,104,240,359,279,195,570,495,585,300,329,341,960,838,
041,967,845,798,930,284,289,724,187,016,828,119,438,433,574,599,057,050,709,
074,080,312,586,779,302,125,266,628,807,099,205,324,484,121,320,390,482,621,
710,557,771,628,667,254,892,912,288,524,295,819,823,010,323,305,345,479,575,
321,942,436,369,217,247,752,879,291,603,532,458,388,048,195,366,430,254,848,
604,566,395,109,738,613,031,149,837,774,180,375,469,844,445,781,722,037,662,
294,095,970,918,767,887,085,690,490,195,012,609,232,304,901,109,958,878,132,
913,200,688,062,882,787,759,414,056,820,387,565,374,183,176,894,634,738,916,
210,263,409,015,550,882,433,359,617,535,234,141,384,129,392,039,667,744,709,
505,517,750,879,607,325,334,686,791,292,177,971,806,594,763,010,496,568,349,
973,114,612,481,625,975,975,417,865,371,038,265,650,882,050,755,654,200,989,
392,417,374,023,151,738,022,701,265,641,021,020,342,289,498,402,853,086,643,
417,186,707,660,305,605,360,250,284,421,501,872,650,707,871,732,610,912,498,
471,709,402,645,586,579,834,830,447,529,966,552,885,728,366,519,166,227,222,
962,524,748,461,513,873,644,393,549,818,154,181,062,209,277,094,715,797,652,
188,248,467,414,223,480,497,702,206,348,300,752,595,210,104,656,603,595,609,
484,163,170,615,557,024,385,938,044,436,555,987,403,548,840,052,532,012,670,
775,905,379,370,725,517,951,866,143,176,064,441,808,388,922,439,907,413,388,
254,739,792,636,780,303,456,142,621,904,862,892,005,822,359,079,543,812,972,
999,978,210,023,487,517,344,540,140,449,548,202,812,787,355,101,921,231,075,
276,534,936,669,665,844,154,935,972,482,960,152,701,204,744,372,754,108,933,
883,383,363,034,877,164,765,929,316,946,772,388,137,049,931,173,087,770,452,
530,717,889,246,766,084,766,091,276,391,598,246,867,940,374,740,946,795,266,
088,561,535,940,884,110,769,297,802,453,929,064,623,582,413,348,569,023,591,
466,271,066,439,497,607,552,499,102,024,442,550,305,368,561,473,385,020,269,
710,743,694,282,531,703,483,909,424,679,395,840,625,544,033,694,577,078,512,
330,912,840,537,444,496,212,989,414,744,478,951,490,507,064,613,899,431,980,
192,304,880,645,338,648,556,429,864,692,412,984,700,699,683,015,340,696,874,
719,933,443,936,276,419,498,082,277,450,317,572,724,675,597,485,612,379,037,
318,126,057,107,168,523,432,602,245,576,459,659,077,072,835,992,357,082,133,
894,062,525,736,553,157,003,331,394,141,184,675,628,449,161,586,467,300,401,
851,641,307,249,406,481,890,647,060,175,979,572,107,074,907,233,859,413,277,
782,134,100,242,605,228,858,390,069,732,853,538,382,951,521,222,402,933,772,
993,868,765,817,213,066,234,103,186,693,751,017,593,393,270,075,545,789,185,
761,421,207,505,688,178,071,009,967,495,262,545,288,886,317,763,756,094,966,
742,852,826,079,430,743,646,149,816,295,900,417,815,458,426,594,002,994,164,
945,777,026,647,047,791,382,247,382,108,254,523,943,781,993,288,993,684,068,
100,626,495,187,883,398,261,943,350,762,473,895,040,825,228,457,548,843,166,
554,230,495,794,990,771,117,478,959,510,924,494,036,686,074,782,299,507,457,
074,887,275,559,534,747,354,147,930,331,160,942,315,946,808,281,553,318,522,
167,247,923,155,257,704,421,677,889,056,407,881,947,615,896,643,500,778,536,
585,681,633,466,919,119,635,165,000,675,143,591,856,963,595,497,153,002,521,
005,400,142,690,678,727,643,027,182,336,753,041,390,153,948,599,925,985,147,
710,408,407,099,073,818,042,138,048,377,179,045,802,308,873,533,919,876,967,
616,071,598,180,492,479,084,224,148,752,590,740,953,699,426,529,965,828,539,
455,337,395,756,919,458,113,254,030,579,085,747,255,467,187,117,263,283,620,
842,487,917,314,238,913,697,227,323,696,313,625,979,077,938,636,932,925,093,
731,213,871,156,540,624,368,102,709,313,275,904,120,093,915,536,451,991,037,
582,485,699,386,729,813,917,020,398,612,798,523,516,344,953,382,959,154,580,
383,825,917,051,118,082,746,938,342,103,188,491,954,468,071,099,663,170,684,
419,044,842,402,272,238,981,575,657,692,539,383,487,937,823,335,881,929,536,
448,853,710,801,896,368,385,281,577,439,178,763,112,895,848,590,829,796,028,
585,920,629,784,953,934,789,739,445,819,100,370,253,859,626,667,825,965,282,
903,700,064,413,034,230,796,477,432,101,464,542,731,229,268,242,997,454,317,
046,151,301,745,711,744,777,395,064,062,193,942,017,233,460,464,172,090,877,
957,051,277,253,879,407,661,964,530,594,610,041,180,855,445,604,182,661,025,
900,020,955,768,722,504,328,719,477,148,175,870,244,366,435,231,455,258,987,
039,258,128,476,780,453,938,427,960,147,856,311,024,193,814,162,404,469,542,
979,044,337,855,938,683,868,662,568,808,954,503,811,682,365,196,796,513,404,
057,610,971,457,482,797,389,609,036,201,860,036,601,500,287,352,340,863,675,
867,150,962,142,115,129,469,549,717,140,913,155,918,929,212,055,320,166,808,
565,854,925,212,188,406,303,115,867,778,464,171,788,993,240,634,228,174,268,
785,875,043,366,240,113,135,427,086,111,976,003,852,098,859,769,048,210,228,
398,903,260,860,772,201,474,438,778,829,068,936,235,790,117,921,751,592,696,
268,263,134,352,530,959,994,326,586,935,461,228,525,890,150,611,394,552,586,
734,485,805,055,098,211,519,169,598,752,735,444,386,292,447,100,054,239,208,
994,707,661,622,689,839,349,926,382,203,605,236,849,128,778,848,939,338,829,
590,562,468,676,418,219,130,843,462,766,830,741,104,452,858,422,456,368,488,
729,032,159,941,017,817,636,583,730,409,723,161,713,362,720,117,888,280,314,
257,838,133,412,045,219,382,197,295,034,374,959,624,001,313,464,581,630,553,
199,977,118,577,224,711,895,360,080,172,030,470,546,336,742,138,875,300,082,
853,696,700,271,909,032,601,494,032,853,837,165,065,809,564,399,134,302,171,
243,973,602,976,537,103,019,333,849,814,347,028,837,027,222,784,505,600,989,
307,945,506,303,714,045,257,120,275,598,332,844,395,634,259,091,782,786,152,
576,304,343,761,287,691,958,382,684,545,998,046,820,983,727,858,625,172,513,
618,025,367,742,886,156,158,398,358,132,357,462,901,773,406,600,856,726,066,
482,809,871,899,571,769,857,888,537,127,765,133,231,059,091,711,560,402,728,
924,901,642,548,402,059,860,096,851,737,931,124,654,585,362,312,085,037,587,
154,981,776,621,705,633,695,615,580,455,558,281,512,078,035,834,166,729,736,
478,093,384,785,766,830,666,430,901,904,770,578,834,257,018,124,259,302,783,
395,115,785,335,509,001,494,736,634,005,190,544,100,610,860,598,389,443,801,
177,884,921,708,853,313,210,652,231,262,126,565,979,661,608,455,633,793,986,
229,087,470,402,463,433,756,448,251,164,477,505,824,008,272,882,401,144,577,
799,029,455,941,259,855,139,146,003,648,436,036,733,739,455,939,612,415,217,
495,348,544,920,063,463,389,485,544,265,721,772,784,673,835,458,562,961,762,
522,140,463,009,916,620,913,781,321,894,784,434,974,203,385,770,629,052,632,
069,679,097,977,113,971,617,400,157,074,768,825,089,447,231,662,467,969,661,
830,694,914,987,988,534,157,510,181,203,392,567,684,074,569,063,323,675,409,
413,567,930,880,020,691,206,818,859,850,552,904,518,105,501,761,713,784,090,
503,746,909,089,026,481,863,860,375,550,948,414,247,419,799,053,388,937,525,
945,627,534,393,026,260,861,549,222,064,931,907,307,292,446,680,027,283,470,
698,840,358,828,971,497,996,288,799,443,413,836,205,949,169,355,482,429,615,
994,660,341,152,002,569,136,940,357,405,110,870,098,025,082,212,550,346,973,
361,402,195,044,811,704,330,215,261,530,432,954,247,287,763,808,172,727,093,
817,577,450,369,075,666,160,037,035,810,800,819,568,488,636,800,203,926,014,
422,534,043,930,676,022,384,600,588,618,971,857,501,087,582,889,804,725,059,
423,871,181,614,941,467,534,704,872,962,567,106,821,691,859,934,178,555,668,
805,811,461,383,022,425,219,393,640,858,109,055,375,647,285,964,118,129,603,
145,857,157,670,321,446,092,381,719,487,402,797,547,811,615,917,538,511,892,
101,794,259,963,138,284,563,995,631,551,981,769,557,199,743,290,579,368,379,
968,782,186,780,358,914,526,189,161,106,675,118,191,179,716,976,080,645,726,
704,273,907,328,552,501,021,713,247,928,714,137,753,693,822,777,337,996,064,
162,795,953,997,061,141,484,165,189,888,147,505,482,125,507,227,710,732,940,
903,725,962,531,193,038,477,520,293,936,431,840,984,587,136,229,886,715,336,
761,276,461,002,246,907,751,778,899,733,918,120,034,705,571,917,151,081,577,
345,599,496,880,979,932,861,215,607,317,569,815,390,187,542,082,682,216,098,
948,615,697,766,885,468,680,912,396,688,027,721,004,756,621,766,529,979,400,
599,730,957,706,217,916,352,063,634,268,912,128,120,717,200,101,042,292,654,
152,431,793,614,522,981,959,251,891,047,032,783,155,829,130,932,373,125,822,
524,410,682,113,445,052,201,508,220,006,223,354,566,130,241,755,829,812,792,
593,308,591,191,714,215,825,364,408,112,682,467,907,455,667,614,266,488,601,
901,188,680,736,327,416,633,661,075,812,272,917,192,033,077,580,910,272,530,
306,584,997,399,237,610,001,459,401,771,533,002,337,645,226,991,462,105,843,
414,111,297,530,820,176,257,634,428,600,139,572,413,281,887,256,028,371,833,
710,089,631,967,892,022,287,801,520,703,355,419,328,501,066,750,164,781,901,
400,694,833,768,727,178,370,832,427,117,020,024,976,372,762,383,270,371,974,
612,102,330,789,867,015,423,690,999,771,295,392,138,672,934,039,594,363,831,
604,259,033,669,515,665,378,034,451,612,550,429,367,220,674,041,338,187,110,
161,110,730,280,501,210,680,740,545,865,962,000,170,970,866,483,996,135,266,
475,818,104,882,785,469,564,275,233,625,561,438,837,163,468,984,704,321,874,
982,834,049,868,607,262,225,537,178,528,493,309,583,667,854,718,964,291,664,
723,108,258,084,275,499,908,010,868,180,930,351,792,053,589,622,738,792,977,
990,164,061,992,149,709,092,342,171,437,842,038,484,685,721,695,415,904,707,
805,501,657,448,031,056,805,063,757,674,439,381,098,485,058,647,616,119,391,
475,194,513,848,734,709,464,509,738,490,351,794,787,112,075,839,440,384,639,
734,889,038,135,696,670,399,540,067,822,421,769,417,813,177,309,801,858,808,
040,323,303,393,908,869,069,761,621,295,729,176,923,028,982,706,015,005,155,
948,960,468,231,149,472,107,152,667,518,609,193,477,140,235,234,068,649,720,
551,781,963,814,796,504,171,420,108,658,266,881,375,922,114,622,001,803,439,
934,737,826,996,485,470,825,811,173,756,246,556,747,070,807,667,736,937,688,
671,316,613,209,896,396,770,955,151,479,463,043,459,690,710,375,556,922,218,
383,457,007,639,374,131,153,329,890,857,147,709,822,948,868,487,321,551,066,
336,770,882,544,543,193,485,868,788,360,569,650,262,253,559,497,870,606,125,
578,742,850,825,730,883,792,715,090,422,648,410,942,252,752,570,770,293,135,
624,445,867,996,910,507,363,448,224,837,674,745,487,784,513,739,409,205,412,
699,458,727,096,081,889,304,207,151,139,572,554,221,492,199,207,109,990,667,
668,099,741,121,251,942,638,366,826,623,635,371,136,204,824,253,342,213,223,
558,506,548,032,006,116,963,385,429,063,741,175,219,320,939,549,724,647,754,
098,213,663,279,595,898,330,400,165,850,825,176,590,457,673,107,846,522,160,
059,469,950,871,369,762,527,411,769,957,084,023,548,636,562,780,995,892,733,
947,687,862,747,276,638,824,987,600,074,246,381,938,422,279,745,283,201,421,
694,411,028,908,611,450,815,084,180,788,914,683,676,352,043,761,176,287,648,
671,962,421,453,444,730,028,655,186,074,155,276,347,607,007,307,646,401,390,
163,088,284,034,857,941,087,405,038,500,089,679,062,180,416,455,720,140,218,
941,038,543,171,289,723,958,666,044,992,849,174,851,875,134,433,667,720,365,
873,390,319,512,619,288,999,792,780,982,235,235,867,681,695,960,372,388,380,
101,203,764,051,560,968,488,522,591,255,596,810,294,004,580,154,978,096,685,
508,703,037,708,912,965,806,947,210,012,570,285,257,557,765,813,824,379,873,
586,549,157,805,299,211,898,715,069,890,951,603,346,911,405,939,339,695,730,
665,486,709,119,659,138,613,849,756,623,300,139,230,142,240,145,638,135,157,
690,841,937,171,779,450,019,646,141,199,952,955,897,087,351,674,590,055,480,
385,800,527,647,806,668,687,013,431,872,492,939,599,943,053,782,018,292,596,
753,718,795,400,102,017,185,320,330,256,401,834,553,802,502,101,706,436,166,
202,947,804,326,548,901,593,772,660,593,827,684,488,434,758,405,053,416,785,
353,730,678,567,616,980,788,567,218,760,126,179,016,925,869,264,655,217,473,
111,611,494,680,369,764,599,418,549,656,356,582,845,801,562,169,472,706,095,
509,618,699,486,636,707,462,746,091,054,095,776,625,435,233,945,998,322,646,
742,874,655,471,336,920,800,014,610,016,801,803,944,816,282,038,668,500,915,
892,516,990,791,910,423,868,842,086,497,861,754,444,713,524,684,014,692,774,
517,104,183,340,402,319,295,088,057,634,535,324,178,017,284,256,974,487,252,
747,401,443,307,996,816,335,933,451,059,238,190,339,155,145,213,820,101,737,
116,543,934,786,187,164,243,278,256,475,473,428,542,028,656,457,644,775,628,
051,015,933,783,982,676,829,215,227,791,278,425,145,873,917,133,815,572,465,
901,194,791,935,781,911,526,485,435,089,559,979,366,454,677,751,415,580,343,
530,883,994,871,038,267,291,784,837,666,659,328,283,239,905,044,983,534,892,
548,742,352,285,619,851,800,162,473,592,063,660,313,950,806,120,754,585,880,
671,211,125,225,829,444,257,556,540,694,044,393,016,357,648,695,338,937,180,
833,599,466,306,917,547,036,710,844,480,591,685,382,944,258,351,882,325,475,
909,473,284,758,867,466,626,649,813,411,763,910,465,241,867,287,700,970,876,
907,009,818,377,858,865,469,395,943,522,095,858,537,839,957,949,542,263,221,
677,152,633,914,053,977,151,630,632,264,107,070,827,479,599,040,846,624,452,
331,190,315,179,086,135,802,521,823,023,411,549,659,871,883,896,258,765,490,
837,874,296,174,839,957,858,114,431,231,208,328,744,843,530,538,435,476,334,
474,252,091,175,116,232,763,325,129,422,234,720,167,834,726,674,753,867,882,
025,245,277,780,494,402,611,529,751,936,124,693,263,855,734,387,454,314,698,
567,979,449,033,708,126,755,913,948,717,230,649,522,890,838,090,459,111,039,
149,473,538,763,944,069,057,180,405,506,591,996,859,755,119,096,954,527,640,
535,433,221,425,972,875,882,352,818,109,144,981,814,583,495,122,590,086,720,
650,828,580,041,044,506,833,708,020,466,862,858,835,690,769,112,272,745,592,
807,890,705,616,957,761,081,254,996,635,071,768,031,929,060,802,060,939,547,
413,927,470,329,768,334,000,269,278,021,239,303,329,313,158,473,801,493,272,
996,136,927,608,355,831,428,363,800,457,603,095,131,848,080,727,582,130,294,
021,962,116,842,078,754,770,580,879,939,168,127,246,409,395,196,696,830,662,
242,952,813,776,632,941,823,414,427,356,322,162,859,231,641,016,524,039,525,
072,478,763,508,815,885,910,265,849,288,294,799,258,937,903,785,183,505,353,
017,452,328,742,213,345,212,130,732,539,027,048,592,121,145,117,590,203,043,
310,723,732,531,263,358,247,852,483,323,085,967,192,907,645,064,287,696,274,
628,610,356,240,794,506,460,037,170,992,924,743,181,522,955,089,111,112,294,
622,971,758,201,605,227,773,936,706,378,837,987,306,314,372,893,166,998,859,
994,230,103,663,642,167,071,873,493,173,112,792,301,087,348,217,700,315,654,
913,667,623,699,218,823,993,736,115,621,728,246,057,325,117,972,965,999,488,
892,971,406,578,378,393,513,386,288,276,147,237,681,245,137,204,315,812,596,
808,583,299,857,776,821,943,641,577,506,643,734,974,979,078,961,287,561,925,
803,315,052,683,646,073,519,216,859,931,710,693,175,102,370,323,864,257,202,
680,597,803,672,981,359,547,388,443,983,700,723,946,270,114,039,009,627,671,
721,941,873,482,717,413,014,846,414,816,168,298,939,455,485,630,638,568,957,
332,608,818,038,061,395,805,205,743,065,583,896,915,305,109,138,291,708,210,
644,825,439,269,948,106,760,009,750,363,663,597,652,913,060,439,188,918,234,
481,325,124,598,081,520,666,674,380,531,201,397,345,746,262,581,073,379,166,
125,654,734,440,448,409,816,348,148,429,682,458,260,981,619,932,201,298,593,
689,370,868,770,907,496,090,644,737,593,931,542,842,704,228,460,453,590,540,
355,707,213,157,436,578,023,961,409,007,349,894,833,468,564,375,146,071,708,
726,143,697,953,264,360,836,613,789,298,398,068,874,340,865,057,714,421,761,
092,763,434,150,905,800,671,927,851,446,909,912,838,088,411,019,123,351,236,
124,327,721,518,556,426,966,015,713,479,766,709,148,768,524,600,114,584,940,
508,933,904,067,167,636,911,449,696,372,505,279,127,940,154,255,085,349,287,
962,339,756,711,198,304,543,685,789,380,010,763,152,021,573,371,623,129,682,
871,945,258,894,350,711,659,088,612,396,663,266,720,749,628,025,654,535,598,
183,333,111,074,426,633,053,758,197,986,474,647,371,423,832,392,447,399,764,
847,587,587,897,192,605,943,290,380,760,773,978,880,620,300,074,203,897,345,
288,976,698,312,592,114,904,343,844,649,979,041,831,157,609,441,376,672,800,
452,167,091,641,664,150,124,860,670,923,930,355,224,322,069,561,832,001,674,
535,813,418,962,608,143,592,975,272,268,235,367,614,499,916,116,166,665,128,
353,833,738,776,742,281,667,198,953,571,353,908,486,159,914,595,705,627,242,
661,754,800,224,796,197,770,099,381,363,786,103,751,179,095,661,788,354,134,
589,488,600,013,318,027,519,287,841,210,923,647,848,042,886,484,701,057,743,
684,884,154,423,916,864,029,815,804,862,853,760,131,129,807,295,706,644,718,
005,104,810,493,541,309,970,426,138,885,808,041,438,440,716,565,149,043,106,
964,482,718,234,706,519,870,510,611,573,529,065,641,933,183,943,233,934,677,
520,423,235,399,456,671,488,281,880,338,429,727,879,206,886,633,169,448,805,
887,664,234,266,468,313,894,803,483,838,311,204,351,368,972,599,412,168,823,
566,067,813,426,868,695,199,517,125,914,175,420,206,610,825,227,328,360,399,
394,283,875,945,111,277,706,869,207,412,738,562,310,178,656,896,650,350,749,
921,371,906,538,850,252,780,675,983,979,388,067,117,223,979,507,650,062,302,
792,775,450,395,279,834,024,385,076,813,661,246,905,229,012,735,085,484,094,
982,895,329,392,621,226,056,367,173,407,492,881,890,870,503,920,513,725,765,
280,938,898,226,228,890,184,308,900,043,995,796,015,144,816,515,334,095,701,
475,888,959,338,978,232,196,558,590,485,324,833,491,586,903,504,422,263,743,
054,152,227,907,976,332,308,926,356,780,981,229,531,232,140,878,757,645,314,
748,667,483,650,979,344,922,974,288,196,440,003,926,682,074,297,585,092,942,
699,510,695,720,439,428,428,137,155,674,038,060,893,810,276,491,351,713,882,
626,503,916,674,843,360,131,006,318,559,273,904,911,081,526,587,341,162,943,
072,297,880,561,520,805,884,691,167,161,272,390,928,499,679,107,048,344,408,
051,401,831,714,259,120,178,274,122,668,519,164,835,101,714,650,376,265,518,
166,200,537,735,035,904,216,800,197,631,506,235,028,042,243,917,033,390,236,
468,688,983,133,020,807,603,531,828,844,281,672,692,181,509,776,608,847,980,
245,099,940,215,792,437,320,565,203,958,822,854,506,529,116,633,705,081,357,
666,703,996,491,560,397,299,827,157,988,924,979,967,953,766,443,835,612,916,
128,292,261,041,783,748,510,790,781,425,497,048,758,169,049,048,799,485,318,
341,878,697,422,623,551,596,227,647,110,386,740,057,357,496,831,331,991,779,
688,878,441,980,305,219,192,853,328,613,234,452,074,064,373,981,524,617,308,
057,505,673,326,066,790,555,586,470,634,278,894,842,814,585,054,702,906,549,
006,491,039,811,789,990,820,413,071,857,007,812,865,456,639,777,008,244,605,
413,863,260,520,743,022,490,074,827,013,468,337,523,385,706,798,179,822,516,
918,109,223,974,312,183,040,579,356,218,903,901,756,902,782,887,596,800,797,
010,853,787,960,212,343,992,469,808,977,305,915,606,134,288,124,030,059,828,
797,457,975,945,819,418,956,955,093,698,503,136,263,365,273,477,343,050,169,
425,432,908,653,324,687,649,603,111,761,684,631,043,330,259,584,521,787,673,
898,069,970,642,666,646,721,017,222,065,345,612,752,781,854,867,750,823,565,
914,876,348,764,278,865,840,857,466,792,696,504,838,602,035,470,962,945,040,
547,971,200,719,130,453,790,976,882,785,944,480,436,351,270,667,496,325,224,
469,867,159,309,045,484,253,145,814,240,437,893,408,864,700,392,735,482,853,
805,960,688,801,108,112,879,709,449,598,645,390,766,037,788,089,371,145,610,
964,733,936,018,517,144,918,749,634,724,318,290,731,520,310,252,781,102,360,
759,684,591,264,698,335,945,093,669,796,385,481,447,999,642,242,505,404,734,
114,064,028,129,735,608,758,457,138,263,100,691,999,069,677,289,873,714,591,
316,944,766,570,252,937,138,625,090,386,284,350,150,010,472,150,909,426,102,
968,912,694,106,118,993,859,163,078,372,857,536,700,304,498,709,916,413,784,
593,063,248,124,404,989,793,409,985,809,971,382,597,467,899,346,556,339,913,
486,587,492,502,147,216,353,264,765,182,440,577,206,513,217,260,659,316,482,
066,306,991,225,092,178,589,456,930,576,563,830,319,763,563,073,491,272,269,
751,754,827,805,711,918,349,725,953,678,787,990,913,680,147,267,948,902,516,
628,740,911,323,204,300,187,982,830,470,448,599,142,326,211,412,516,133,860,
349,007,000,987,274,331,600,478,435,879,415,952,790,328,860,728,037,487,982,
081,261,118,594,907,951,572,058,812,964,127,063,834,554,285,228,149,982,445,
744,559,691,310,979,084,508,735,588,033,011,570,045,048,842,610,118,782,980,
434,135,829,897,966,639,324,027,643,887,871,127,424,264,068,772,244,433,202,
864,529,619,733,678,540,398,418,190,509,748,321,538,764,145,577,990,249,762,
187,705,450,610,113,656,640,447,019,357,843,088,820,188,574,486,601,742,985,
945,142,188,166,341,823,784,880,304,733,288,401,011,026,307,339,134,500,999,
479,500,983,974,522,517,364,180,516,595,680,097,126,123,328,108,773,316,957,
494,329,786,334,230,123,209,248,977,063,631,510,479,323,928,842,213,496,219,
635,842,162,053,240,498,979,128,203,241,696,200,668,573,422,553,919,447,505,
137,165,166,795,103,396,182,075,754,919,007,655,914,864,179,888,274,651,287,
112,791,889,726,412,273,895,625,324,566,315,711,395,912,312,009,528,210,254,
020,928,011,658,838,035,354,333,533,746,823,796,886,062,489,391,403,696,136,
511,722,624,351,373,102,978,091,263,273,434,290,271,879,965,676,741,062,056,
355,338,899,397,124,827,705,200,053,655,933,736,317,048,800,335,547,082,676,
997,518,996,641,908,323,023,090,266,380,574,260,206,557,895,010,576,495,414,
935,377,834,934,203,612,536,470,341,143,094,111,516,710,691,347,466,830,386,
648,185,366,927,165,553,476,019,835,960,544,097,335,545,061,389,295,533,527,
325,527,032,519,773,022,230,137,505,291,637,106,943,864,945,280,664,162,583,
286,967,275,654,309,793,688,612,626,827,540,522,665,937,232,909,741,133,225,
736,608,270,831,007,534,734,112,675,822,413,811,503,363,515,072,914,786,724,
879,472,086,147,786,677,636,129,532,248,471,887,162,923,466,049,898,229,087,
853,978,564,499,020,606,631,992,084,473,903,259,563,069,328,008,413,361,730,
768,565,137,566,112,129,143,445,140,325,181,386,046,384,915,145,928,107,682,
717,669,738,980,667,535,915,229,489,475,941,121,992,356,175,421,009,062,798,
062,979,986,256,351,286,075,068,361,524,870,456,969,017,231,501,331,982,414,
773,321,460,780,961,114,055,556,390,656,752,098,795,090,922,794,097,848,746,
201,170,686,499,131,387,952,038,664,975,511,747,129,043,965,952,913,979,823,
728,557,865,848,497,777,147,158,849,760,212,588,798,728,974,727,918,558,689,
625,482,996,972,714,580,208,764,471,325,878,678,058,920,396,221,957,894,153,
282,693,404,985,893,288,711,223,959,184,159,477,533,005,569,971,041,034,536,
296,761,001,045,445,404,734,813,743,053,783,022,324,998,752,675,403,132,958,
440,988,686,072,942,090,409,800,870,732,527,549,296,691,213,974,122,450,336,
658,052,514,143,392,314,161,535,093,915,937,783,844,408,732,347,736,025,264,
479,411,026,712,507,261,380,873,914,925,046,733,296,512,085,802,012,317,875,
477,604,871,185,081,884,681,321,785,985,187,138,933,561,392,175,042,745,546,
772,258,578,857,943,097,860,745,291,499,365,532,475,512,710,712,817,897,339,
895,942,573,745,022,498,529,190,801,489,050,011,864,912,054,999,663,810,967,
173,463,721,313,953,727,758,162,054,536,310,970,559,170,020,607,420,218,267,
858,502,358,670,449,969,962,878,843,739,068,625,766,336,255,104,006,541,816,
172,108,092,086,082,434,424,392,328,647,178,997,380,005,889,208,878,835,658,
427,082,159,031,128,092,304,488,463,380,152,733,546,196,343,933,580,472,178,
800,510,848,561,313,168,245,901,866,168,297,749,460,135,747,348,674,722,439,
838,141,229,688,733,275,864,454,089,955,951,248,572,335,477,730,042,463,062,
940,143,768,346,240,618,803,938,791,184,349,512,926,525,523,505,035,401,890,
625,434,913,344,375,482,662,406,638,127,047,729,026,365,841,447,748,459,963,
521,820,891,419,637,255,177,671,005,934,441,011,247,510,534,358,944,279,827,
157,053,213,415,272,228,306,199,253,757,614,190,246,453,825,730,441,941,623,
230,551,435,486,109,051,385,112,787,369,606,129,590,516,668,376,802,292,754,
701,495,036,298,415,568,376,468,253,449,515,790,594,263,518,988,030,763,845,
355,420,939,102,229,423,590,678,462,332,565,761,563,410,575,327,936,262,243,
612,065,080,480,857,163,258,243,180,238,062,206,063,889,846,585,885,374,072,
079,349,136,869,660,701,466,805,869,458,607,737,018,505,230,991,843,877,392,
152,290,996,685,311,978,057,647,097,205,714,857,608,577,988,318,528,321,250,
037,867,354,012,885,953,354,989,598,427,516,595,229,965,288,577,780,351,452,
878,848,466,840,192,668,782,660,634,054,003,362,697,410,774,486,694,853,957,
764,718,099,057,962,442,688,266,626,947,495,733,160,449,638,425,927,150,334,
963,211,627,593,215,635,235,032,062,015,438,901,747,811,540,839,950,162,978,
338,724,975,375,679,033,893,363,462,635,625,303,592,442,962,451,849,308,977,
764,697,386,897,586,750,763,780,766,727,657,820,999,434,399,283,820,443,942,
300,540,698,758,056,050,359,751,652,700,403,613,073,660,477,851,171,569,365,
640,015,578,932,383,166,578,866,088,849,046,905,104,622,806,963,539,308,673,
175,204,353,127,741,813,703,834,308,676,472,086,868,685,611,473,153,802,638,
703,567,310,948,523,791,408,383,516,963,831,688,554,258,704,647,218,558,470,
771,899,602,084,376,179,584,228,267,563,065,559,677,729,818,129,630,702,966,
001,502,349,677,854,940,881,263,406,781,969,809,350,612,336,032,111,634,213,
336,855,141,082,015,578,008,968,670,181,374,427,732,615,738,470,028,406,249,
766,881,608,311,603,357,122,876,108,144,939,176,633,375,286,380,178,644,193,
198,375,419,925,352,054,137,981,073,636,767,278,943,130,465,824,513,720,476,
713,455,390,353,166,308,251,768,941,081,055,399,887,396,943,789,700,210,630,
461,874,059,699,709,286,204,710,667,052,145,810,852,345,250,319,883,566,635,
774,007,502,170,618,890,691,576,911,095,975,464,629,448,048,849,178,468,691,
855,966,505,028,618,062,680,101,415,139,911,863,820,341,533,266,143,931,582,
063,748,791,318,213,732,741,259,773,225,080,303,774,068,500,339,422,011,222,
648,913,047,868,073,515,199,890,720,646,059,564,996,198,410,880,279,558,383,
216,459,691,813,768,691,310,467,787,402,323,838,667,174,617,256,646,543,543,
020,206,379,818,535,332,952,122,671,102,883,783,595,994,991,665,850,452,022,
594,958,458,542,578,726,385,216,595,674,390,551,299,664,577,203,833,505,260,
637,168,336,757,897,989,777,668,759,962,908,685,534,354,989,386,713,952,924,
814,287,709,358,113,315,184,810,366,025,234,155,644,147,912,979,355,856,319,
844,199,168,391,166,828,208,629,079,155,002,088,201,088,979,023,945,592,607,
102,927,735,595,959,535,816,794,448,535,360,268,045,759,161,670,317,633,081,
119,286,785,031,214,605,539,682,070,933,191,137,278,547,462,221,304,582,891,
019,685,540,850,457,573,970,505,796,074,428,637,791,449,173,457,609,466,341,
470,860,752,890,933,611,864,631,126,132,611,096,797,255,866,611,275,585,978,
927,460,426,197,680,130,484,309,481,912,228,923,881,470,080,660,791,202,236,
266,700,764,414,431,755,966,183,031,527,882,857,214,433,861,085,791,084,122,
609,289,914,927,469,042,446,097,724,960,463,476,831,212,603,300,785,690,178,
995,070,981,078,355,723,209,182,365,258,255,372,328,738,384,196,867,379,101,
013,313,300,180,523,588,774,127,339,421,374,528,449,537,063,400,958,748,447,
768,736,282,792,042,544,227,035,692,054,067,978,364,932,533,670,965,450,121,
084,283,787,322,496,572,934,031,317,760,112,166,888,893,190,335,566,293,074,
703,655,650,641,841,234,568,757,224,508,428,570,990,298,656,069,535,506,094,
362,122,538,696,769,990,100,523,940,776,147,917,247,567,801,482,977,135,721,
389,485,587,453,056,976,946,631,694,289,311,668,599,992,164,364,134,731,088,
394,685,523,731,708,595,129,477,544,803,708,150,657,912,583,879,348,990,539,
874,706,150,285,390,116,429,557,755,038,299,512,623,285,670,804,429,040,119,
376,949,856,494,933,680,891,587,089,673,736,767,740,139,688,893,688,669,829,
632,715,663,884,183,555,349,797,803,961,372,860,276,724,101,590,815,258,529,
764,691,302,114,993,394,410,860,803,878,806,410,773,717,182,724,428,514,281,
299,909,824,701,862,128,860,568,677,367,955,308,830,305,581,822,293,478,592,
359,546,212,278,893,774,833,400,736,172,290,706,942,381,848,753,965,617,673,
090,857,733,887,812,644,852,694,515,734,348,614,907,933,080,681,823,608,058,
447,566,916,496,089,713,623,005,970,989,429,316,796,827,265,821,460,108,361,
584,045,045,354,014,677,357,314,467,422,695,148,276,152,294,309,096,794,168,
455,511,026,783,849,996,535,197,222,326,036,979,224,543,557,999,571,936,872,
363,404,971,760,834,873,470,900,346,180,719,926,227,373,850,949,196,434,631,
822,724,959,582,178,661,520,385,272,037,895,463,590,759,174,957,459,709,815,
331,382,649,378,449,166,553,694,057,405,065,712,337,502,390,663,963,224,527,
109,141,514,086,550,929,830,630,103,711,567,446,237,573,737,907,955,039,271,
168,149,687,328,981,733,687,273,655,103,654,735,104,186,166,182,550,834,082,
193,158,340,306,785,603,989,177,327,248,560,516,843,563,686,429,453,975,396,
383,324,814,355,332,112,921,548,382,307,159,769,982,148,240,524,615,353,039,
161,500,500,632,221,825,123,353,675,346,543,849,257,080,577,089,512,602,163,
297,948,173,075,290,827,592,262,337,718,998,455,711,338,284,565,467,604,302,
618,317,302,739,061,697,002,778,238,077,861,923,027,229,172,819,927,032,134,
641,847,009,484,290,007,786,614,498,574,156,032,804,713,948,828,390,040,098,
488,795,636,369,435,292,365,266,052,215,851,899,514,671,120,271,088,740,629,
575,718,845,166,116,266,169,072,048,950,812,910,648,010,584,868,602,803,539,
590,754,162,332,434,409,467,787,085,581,630,084,966,518,327,696,843,325,215,
086,682,709,836,992,082,460,278,562,027,799,539,137,753,417,193,423,922,231,
387,269,966,457,414,890,193,927,727,429,775,183,135,199,515,230,441,828,348,
437,768,402,276,513,148,356,322,135,350,114,128,688,615,756,193,212,964,520,
629,762,613,258,778,318,221,250,308,636,082,766,555,921,013,479,637,477,765,
345,073,477,339,036,088,660,216,531,499,648,331,859,396,700,541,204,556,511,
350,241,329,694,015,739,969,790,940,827,957,123,060,518,502,268,988,631,660,
619,331,468,506,199,956,328,598,520,682,602,376,052,115,330,090,779,250,774,
892,864,258,995,262,448,262,448,031,033,298,657,003,386,031,713,901,340,797,
986,788,634,962,163,827,908,544,885,191,422,333,299,739,123,562,116,259,771,
540,926,439,619,092,243,383,298,638,440,693,333,450,108,339,653,690,791,929,
991,681,106,618,667,132,489,707,969,734,397,979,651,996,656,968,501,291,571,
245,304,745,367,190,287,517,575,808,570,860,026,887,034,020,292,066,641,635,
779,320,671,762,289,012,420,517,359,657,560,500,923,124,319,543,870,388,522,
600,699,552,563,710,092,839,066,154,635,426,921,510,158,641,555,852,552,435,
743,142,979,814,247,661,447,010,616,640,892,518,540,992,017,310,061,413,105,
067,352,814,916,670,734,195,339,541,913,767,405,767,496,935,993,417,789,772,
236,431,154,390,740,173,137,028,332,437,150,411,716,723,927,425,176,274,001,
845,968,033,747,975,029,123,095,008,433,142,056,258,746,118,793,784,111,546,
399,653,017,631,114,403,565,357,474,571,724,694,074,348,047,319,709,725,880,
065,820,601,170,692,920,557,421,149,629,556,938,178,082,291,966,444,549,346,
452,464,080,986,835,128,253,769,457,048,305,317,506,822,849,354,761,321,406,
933,748,521,664,462,838,639,368,124,874,669,250,261,875,422,329,225,199,250,
384,095,443,700,307,977,521,750,868,965,251,267,203,869,682,235,179,530,980,
209,207,316,624,411,652,325,414,803,117,023,843,241,371,845,050,050,409,420,
850,945,610,261,553,919,781,424,065,240,563,574,992,991,121,794,170,771,250,
580,902,591,334,925,587,206,136,856,673,724,875,523,652,751,528,461,315,020,
916,738,629,518,100,348,149,315,165,588,975,125,897,123,681,958,731,519,040,
260,198,917,000,459,281,895,620,799,050,624,516,876,085,710,387,860,312,913,
077,555,638,601,557,587,543,237,205,100,172,627,757,920,975,477,486,181,643,
546,366,988,760,210,989,227,559,232,966,478,529,268,898,203,626,707,431,603,
759,597,237,229,584,809,239,783,510,227,028,219,074,778,044,085,186,174,829,
879,219,185,230,991,587,179,578,391,576,412,071,236,197,433,270,526,711,227,
790,230,474,826,839,458,140,278,269,775,080,678,466,437,134,451,252,537,585,
360,627,112,591,464,670,997,104,979,181,581,174,818,222,661,194,084,594,534,
466,773,898,268,831,949,416,540,311,969,215,812,048,743,902,051,156,220,345,
181,460,873,591,055,999,064,943,346,147,890,804,490,918,732,156,424,018,179,
098,014,986,105,666,497,756,877,874,558,336,309,792,687,777,409,930,085,889,
102,167,811,494,755,855,421,510,909,771,624,580,986,402,802,513,698,884,047,
633,249,060,870,331,545,406,625,942,280,406,984,356,217,292,730,441,146,197,
874,568,048,461,286,278,789,973,929,284,793,623,345,731,157,250,048,016,785,
402,044,184,343,773,129,169,733,901,234,795,271,410,744,204,062,732,712,779,
540,164,758,438,559,427,221,458,587,853,930,763,495,093,774,193,209,986,176,
833,260,273,221,269,854,017,545,499,044,833,655,001,694,430,560,201,657,375,
400,422,791,865,992,468,466,735,524,334,794,392,986,832,201,694,299,121,772,
387,654,974,278,266,821,522,920,065,724,809,996,485,788,071,526,460,971,051,
170,890,477,456,704,329,636,161,436,711,586,796,375,429,854,974,732,911,969,
313,353,199,415,445,578,444,010,606,028,858,073,870,203,463,386,878,049,101,
944,942,780,529,873,958,665,395,194,695,407,230,878,495,381,248,666,796,806,
040,613,956,063,510,893,145,980,269,179,614,144,224,167,050,560,612,161,043,
877,063,565,191,953,337,221,023,330,291,389,116,872,898,037,618,893,218,345,
261,893,601,737,606,631,780,569,281,221,508,361,220,261,940,492,181,151,727,
197,717,113,683,591,244,747,139,243,802,624,540,618,641,812,755,993,619,196,
217,915,672,505,823,142,461,589,326,763,910,584,995,277,330,965,800,013,658,
712,073,408,332,559,539,775,734,149,737,207,753,869,711,711,998,211,973,454,
841,870,432,584,984,403,328,801,627,169,374,813,365,208,622,616,709,667,555,
980,346,275,109,765,237,373,079,494,378,452,098,221,940,059,407,026,475,538,
285,303,280,103,416,438,251,768,175,443,588,957,195,967,854,296,945,470,381,
330,074,021,917,576,934,965,689,206,969,784,841,204,755,992,627,221,414,324,
147,227,095,751,366,778,990,202,366,163,240,605,727,605,181,622,246,043,149,
675,860,380,133,339,426,385,651,741,484,165,992,593,171,213,674,409,930,641,
899,728,921,925,032,495,632,260,996,127,356,463,076,832,134,547,915,463,281,
182,435,365,163,815,171,542,994,091,084,103,061,781,004,069,252,357,679,732,
504,209,870,990,906,092,362,794,730,320,103,948,052,039,409,682,025,091,913,
565,586,348,576,649,303,249,587,788,712,925,573,497,181,302,235,060,392,499,
259,160,694,579,267,920,381,317,625,101,313,844,126,920,673,091,471,905,982,
908,636,689,988,882,069,145,187,630,869,400,870,362,727,304,112,991,168,298,
051,821,827,939,568,261,601,950,962,545,027,543,113,861,686,886,655,411,579,
613,811,945,202,014,368,300,619,875,409,195,404,775,680,961,092,018,444,871,
569,833,062,378,703,594,801,503,371,738,660,671,037,146,460,831,428,678,541,
480,874,339,204,356,383,782,497,923,849,529,521,498,412,594,271,407,047,083,
640,330,879,930,050,696,455,076,766,084,459,194,985,032,583,172,765,940,407,
843,511,992,725,791,432,164,708,830,872,680,241,873,917,314,332,684,574,151,
093,621,991,378,561,011,874,596,910,306,148,874,832,151,079,523,313,175,030,
544,597,764,223,124,477,217,606,716,379,448,403,141,498,475,521,530,084,072,
210,798,321,471,079,100,442,427,749,813,105,260,970,045,512,991,508,736,686,
472,659,209,212,380,713,367,885,306,770,326,862,405,947,158,304,266,313,139,
447,972,620,220,076,951,829,912,574,000,804,691,603,490,046,154,182,361,229,
201,821,846,277,731,909,612,627,101,835,173,192,676,516,181,350,966,442,921,
040,527,844,720,731,868,792,056,351,334,211,600,998,571,009,050,480,476,495,
661,781,359,376,316,920,899,390,445,990,434,396,954,354,394,361,590,042,332,
322,081,096,221,920,932,337,942,890,675,194,135,234,393,935,791,923,699,368,
215,053,139,641,337,906,892,637,249,251,572,846,657,740,151,770,502,537,502,
894,591,895,748,978,850,082,711,394,644,554,041,507,642,524,903,258,698,704,
137,763,143,699,321,810,596,545,560,178,130,517,826,531,043,470,957,684,221,
167,351,119,838,195,777,495,646,377,875,659,306,301,348,209,662,065,838,502,
231,518,813,222,503,356,266,213,288,726,735,291,120,579,217,954,337,058,421,
603,453,672,234,422,695,329,782,752,137,421,698,392,174,068,735,396,782,715,
249,390,326,310,467,165,239,037,201,311,971,756,714,442,737,447,058,567,070,
818,800,121,761,034,308,412,694,590,160,164,542,461,565,347,580,705,899,765,
971,181,170,442,885,126,794,576,378,816,187,417,590,428,028,409,348,045,220,
508,352,464,169,099,515,174,476,137,006,785,409,535,512,496,206,640,591,763,
383,540,755,537,137,185,759,687,299,482,287,708,671,926,779,109,770,031,981,
293,689,664,396,326,697,783,385,896,773,516,592,377,568,577,551,368,318,671,
594,738,174,134,937,755,586,976,087,910,501,889,819,345,466,124,257,938,299,
472,584,698,726,160,447,209,464,687,394,055,247,800,268,906,773,523,842,917,
606,052,607,316,712,962,662,578,424,244,368,174,395,802,565,290,136,617,023,
807,269,240,745,252,331,543,020,507,040,371,091,023,649,155,347,804,368,252,
552,646,686,468,084,638,649,233,570,142,738,710,191,697,655,878,725,988,929,
064,608,008,561,718,204,652,716,074,522,893,644,396,720,860,150,924,100,033,
739,967,255,589,644,075,505,811,150,714,904,531,549,633,791,458,535,652,346,
253,988,915,223,319,797,021,234,640,011,171,173,698,936,105,861,952,178,992,
426,516,294,470,507,016,684,576,649,125,277,274,150,198,783,564,973,835,831,
146,962,375,142,779,536,155,892,208,873,317,421,345,649,083,295,155,702,153,
683,869,885,470,639,015,714,580,420,819,557,042,385,761,253,931,626,661,848,
029,619,164,817,980,354,506,944,148,902,370,557,115,130,984,959,816,797,178,
724,080,031,588,235,176,450,264,362,355,584,703,516,136,155,709,452,281,276,
955,586,271,537,920,124,081,699,773,227,940,584,672,115,714,808,160,740,188,
350,718,846,144,224,317,048,555,486,196,769,024,391,698,231,783,289,125,861,
554,962,219,374,986,878,907,152,907,645,102,282,187,157,857,524,557,787,817,
399,613,104,342,089,168,330,030,018,321,402,274,968,985,385,928,886,709,143,
674,771,008,518,157,648,360,258,296,163,086,177,499,939,020,296,799,387,365,
341,892,632,254,649,922,183,416,569,077,917,014,065,658,188,655,276,320,618,
032,267,358,811,156,065,492,901,004,574,315,471,504,468,773,545,774,590,890,
266,074,620,648,173,174,904,418,940,872,835,730,843,132,030,498,475,304,691,
786,320,024,728,862,339,145,716,943,444,927,321,956,256,854,977,927,288,380,
854,241,704,015,691,000,353,527,149,263,624,417,517,798,095,724,070,658,709,
088,854,447,569,569,857,478,873,695,991,047,740,474,032,182,495,065,014,210,
105,403,443,031,747,207,642,374,540,226,652,395,437,714,687,958,541,889,192,
018,236,651,806,383,615,747,300,983,243,727,983,959,453,223,162,594,029,390,
180,677,094,057,872,386,238,939,137,775,665,477,775,742,755,795,017,062,587,
223,178,976,602,371,473,406,510,114,363,197,143,372,101,831,192,269,639,206,
675,581,934,430,383,012,741,852,057,398,046,654,267,647,866,417,789,930,467,
383,396,254,034,199,821,223,567,578,837,685,390,826,844,125,032,599,148,536,
936,625,066,175,230,006,354,257,600,221,596,305,311,848,371,692,187,856,145,
943,190,541,082,732,644,868,845,868,285,759,578,301,845,359,849,962,268,486,
885,621,062,407,996,170,246,847,670,756,156,925,966,265,392,174,908,504,409,
784,036,738,216,842,148,483,121,023,988,990,447,968,918,274,882,413,819,306,
075,124,772,835,730,986,584,255,425,170,247,175,686,685,883,727,686,040,074,
090,470,631,067,292,522,118,974,616,097,677,868,887,171,467,196,126,740,982,
697,507,804,102,976,356,598,449,483,047,577,775,399,997,704,090,059,536,430,
043,418,083,415,042,366,501,594,868,273,218,371,353,896,105,239,171,875,814,
841,166,204,471,196,825,657,400,526,726,163,632,859,202,567,047,301,848,707,
064,020,320,988,078,284,569,638,705,879,174,543,809,941,539,367,778,598,166,
896,487,907,487,906,877,358,529,695,798,923,171,890,741,281,684,367,767,518,
224,523,991,158,427,583,949,912,706,725,231,421,711,836,627,093,829,115,299,
966,314,767,373,612,013,243,368,280,495,824,112,510,899,346,286,282,625,262,
420,234,803,670,092,712,446,850,008,899,155,162,408,720,255,091,331,525,490,
005,810,230,332,916,289,451,621,346,321,080,903,010,453,878,779,397,329,700,
079,407,896,074,263,993,767,663,684,085,664,507,624,486,813,788,615,753,405,
367,096,782,440,908,279,689,252,680,257,274,155,525,344,761,770,142,700,164,
313,323,511,082,622,323,577,645,544,902,116,806,979,269,800,322,161,278,475,
690,164,064,060,197,793,137,966,651,052,454,308,807,293,540,361,406,281,776,
372,907,416,723,019,344,346,531,689,129,386,601,147,048,692,497,466,724,224,
178,754,419,896,209,243,563,455,769,202,070,260,767,207,338,938,388,159,139,
980,170,486,269,028,394,394,998,987,930,776,411,273,225,360,079,241,992,708,
267,703,519,291,758,411,311,785,798,519,956,302,371,691,537,356,976,676,275,
273,728,692,342,059,961,147,099,920,070,649,546,951,572,830,364,952,323,098,
678,982,429,315,055,400,348,066,461,190,962,962,921,858,025,632,960,061,253,
998,524,204,177,189,671,179,257,877,502,555,309,359,080,887,973,112,996,515,
263,875,264,180,506,862,980,666,741,390,167,538,597,847,625,422,109,085,979,
189,758,635,950,497,374,731,955,047,221,979,211,697,886,450,645,063,171,288,
925,006,713,257,980,680,081,150,291,509,928,907,566,866,443,650,940,998,606,
829,786,724,626,617,435,114,306,299,696,643,988,285,525,577,757,032,032,985,
432,846,655,228,767,240,014,539,860,692,676,450,823,941,613,839,339,106,813,
827,194,135,716,606,693,979,665,032,626,575,314,357,312,429,269,590,207,835,
723,265,167,901,590,515,236,743,093,990,244,990,747,744,814,317,206,714,336,
591,698,663,931,492,144,900,345,536,316,978,630,513,386,877,626,917,902,134,
509,593,102,105,235,679,631,595,535,569,365,625,127,172,736,919,824,001,616,
290,324,706,568,380,344,497,473,492,443,425,259,368,086,375,733,435,109,502,
331,157,958,969,456,237,313,111,120,739,353,983,586,408,759,234,906,130,643,
345,823,440,409,257,670,380,583,199,343,616,374,893,887,552,804,444,468,686,
744,977,832,713,786,394,510,746,031,215,719,179,378,450,558,318,154,755,781,
664,905,384,015,976,140,121,235,722,565,315,128,900,395,197,512,413,370,383,
158,071,092,391,782,881,326,877,572,843,666,984,136,811,025,659,668,632,045,
224,506,859,170,587,851,827,360,532,453,872,846,435,115,175,432,836,508,632,
475,728,556,166,587,930,928,952,173,573,360,497,260,143,454,675,966,324,643,
390,531,469,521,379,234,748,252,750,909,706,272,206,361,183,384,277,332,897,
843,466,565,083,494,215,997,912,072,089,235,343,713,990,957,356,510,906,658,
040,616,495,493,029,969,200,167,908,652,203,840,495,714,702,528,466,578,358,
646,962,961,874,832,447,375,945,483,158,725,111,192,098,316,157,207,218,633,
996,840,166,590,696,409,297,929,044,645,592,724,446,030,539,386,362,961,370,
444,134,356,899,258,524,994,707,655,034,962,476,385,965,514,791,716,215,924,
897,292,117,899,683,872,181,964,146,390,214,159,268,116,862,883,259,919,089,
533,286,492,691,662,685,949,293,167,664,284,324,590,116,054,901,929,871,497,
010,234,410,470,593,511,042,203,546,257,938,056,817,900,017,489,890,871,804,
363,935,710,968,291,808,503,053,155,149,434,033,003,912,588,342,183,346,332,
339,375,299,768,509,941,269,858,655,421,221,751,291,373,628,105,702,484,484,
043,292,974,945,593,563,210,332,093,345,807,821,624,633,674,993,683,142,468,
471,106,992,813,301,416,416,065,098,255,453,818,406,097,492,985,605,727,670,
349,757,039,814,498,887,815,449,091,737,246,583,713,512,430,390,249,986,732,
435,057,477,478,929,516,520,075,397,949,802,405,658,289,461,590,807,777,218,
845,212,230,653,940,783,635,599,680,283,841,634,041,096,308,812,841,382,356,
033,681,805,472,703,671,473,492,112,345,557,171,802,226,316,619,533,029,972,
459,152,237,490,541,233,476,634,632,274,731,804,233,712,006,038,662,276,761,
834,449,806,002,242,758,442,694,770,361,917,134,346,402,360,865,189,659,852,
031,751,398,130,024,777,111,961,603,983,976,548,100,788,002,702,449,235,920,
672,865,611,140,064,533,119,165,539,566,036,548,763,639,740,020,398,533,200,
526,160,454,466,761,585,589,551,046,250,453,571,359,081,464,456,786,242,665,
172,272,644,378,833,390,278,869,685,542,578,687,137,112,170,909,850,138,908,
220,298,191,325,453,823,623,545,869,641,918,257,020,197,023,915,402,569,178,
982,408,202,901,655,834,343,727,682,528,430,762,372,674,862,526,638,133,519,
939,467,391,500,502,169,576,812,896,441,421,394,938,138,382,896,647,666,712,
967,785,888,765,641,637,906,749,582,349,155,852,234,191,950,839,007,017,765,
790,317,053,660,013,393,363,654,043,933,527,881,476,147,597,959,783,203,396,
841,720,768,481,039,831,901,277,019,313,238,889,676,886,687,940,339,562,203,
649,140,850,746,296,702,005,292,402,845,684,156,849,825,728,718,328,533,049,
627,252,131,933,096,406,281,168,725,777,248,774,547,705,604,840,754,680,562,
872,406,015,648,808,724,309,409,808,373,581,141,994,663,144,054,589,943,764,
827,116,133,607,203,281,914,681,944,625,512,096,741,549,151,298,301,954,427,
553,999,552,944,506,809,499,576,413,488,525,651,455,089,085,463,665,446,498,
888,655,973,886,564,685,717,702,307,235,630,038,433,919,575,398,218,235,575,
402,972,490,793,238,928,336,137,356,854,440,684,364,612,995,364,326,507,486,
469,982,294,799,228,785,060,826,539,439,621,575,335,000,089,663,041,267,639,
313,959,328,625,697,114,912,414,460,701,277,059,291,551,140,733,081,764,568,
799,622,520,906,921,977,385,364,062,089,490,732,289,309,257,394,972,170,093,
875,239,434,406,293,155,489,917,374,936,887,414,629,280,155,683,495,152,506,
354,677,536,036,418,192,343,988,335,079,126,680,130,550,493,342,072,050,394,
484,865,165,648,982,640,350,105,098,389,038,048,504,235,483,035,708,896,636,
601,761,518,988,249,350,074,008,041,993,664,453,341,795,901,087,689,225,338,
933,812,288,674,701,526,923,523,439,875,156,294,807,609,315,842,039,565,181,
487,018,218,815,991,302,149,626,196,386,023,095,953,880,189,055,696,091,491,
690,887,622,011,510,894,500,967,087,941,489,140,957,287,685,938,614,496,739,
046,112,791,158,985,107,258,048,650,311,161,966,425,878,607,931,607,388,819,
813,075,766,045,110,821,752,968,515,195,480,961,903,316,085,150,520,481,077,
488,052,645,773,783,683,574,973,607,287,246,959,415,499,161,961,861,064,501,
355,159,277,953,580,469,854,975,960,034,643,715,913,500,012,966,471,705,129,
908,155,052,328,702,737,460,999,565,305,689,179,613,800,144,708,380,642,939,
446,616,328,568,420,236,292,070,682,447,805,189,401,457,048,844,602,985,977,
437,142,597,567,278,113,848,744,524,591,227,489,629,497,399,660,500,658,378,
438,966,332,713,531,447,680,275,256,404,498,818,287,917,253,405,110,969,092,
722,475,247,466,052,735,786,733,988,227,581,576,155,039,901,406,299,527,272,
513,781,300,436,882,555,055,654,739,925,318,608,147,876,792,383,814,768,882,
548,114,354,095,721,671,126,048,534,675,128,023,438,977,981,133,610,420,759,
260,220,907,299,122,599,265,873,257,744,732,183,740,107,805,013,892,249,100,
117,823,396,018,741,107,914,867,332,268,125,229,517,520,721,799,961,125,969,
854,188,015,537,165,814,043,874,880,598,500,394,647,476,953,041,246,890,345,
506,728,316,196,458,803,197,872,330,392,467,553,590,538,322,791,569,184,725,
069,961,920,145,801,377,242,131,553,810,203,257,606,727,276,792,608,116,405,
869,276,690,821,615,482,817,965,686,883,827,594,494,956,444,316,750,943,220,
463,357,177,981,408,676,178,051,077,931,734,453,399,388,546,214,789,981,783,
259,367,348,548,972,043,061,605,595,014,117,110,497,817,504,000,116,789,625,
571,588,773,591,834,778,126,963,721,780,411,878,977,055,247,979,216,973,386,
603,632,185,667,894,036,727,288,560,640,253,466,315,219,605,773,550,121,647,
443,344,610,721,383,662,629,538,700,731,373,543,954,096,319,475,107,283,334,
226,801,904,218,139,467,144,993,376,347,431,470,019,946,058,778,746,204,905,
224,902,713,831,305,280,979,385,218,248,500,162,121,749,401,640,571,624,808,
221,541,631,075,648,580,506,218,967,101,249,211,149,574,971,037,180,268,215,
159,103,739,078,808,956,015,502,379,480,587,524,902,113,898,550,721,053,417,
557,196,790,466,308,122,742,099,773,710,891,343,786,348,500,526,086,886,385,
445,679,238,687,117,584,952,881,596,654,542,817,720,973,943,715,476,869,257,
492,694,104,525,400,864,036,874,726,503,493,433,395,723,392,621,017,531,392,
257,675,695,293,430,387,467,510,824,605,714,104,882,059,026,586,680,981,272,
890,974,608,917,363,230,903,395,444,705,932,343,986,268,986,519,679,782,921,
874,757,601,306,905,564,058,232,714,891,453,683,212,320,677,859,612,172,666,
475,310,038,950,951,068,612,704,734,858,759,279,911,394,055,703,621,727,870,
229,770,140,615,873,640,512,423,703,323,362,133,409,324,500,262,461,978,637,
503,347,868,009,114,065,308,451,289,850,880,732,532,525,431,990,071,253,532,
164,417,623,982,424,964,392,772,196,650,672,959,546,138,815,445,045,249,672,
378,100,845,658,807,298,967,811,489,855,125,925,957,287,998,578,005,774,366,
865,261,593,888,621,216,073,464,916,597,236,513,007,302,401,370,992,848,090,
720,534,375,066,520,475,446,970,509,302,214,686,795,833,235,372,891,676,513,
003,074,633,917,034,726,883,901,336,971,321,176,307,363,165,734,113,473,929,
329,667,099,059,005,636,343,149,986,228,970,721,290,029,272,295,553,345,938,
262,650,925,376,535,710,418,531,380,989,110,610,942,984,272,702,777,488,990,
020,834,279,402,193,017,797,183,799,157,029,813,188,884,974,034,069,671,426,
477,622,708,235,105,777,774,122,619,989,255,711,585,254,730,588,045,724,946,
062,869,026,504,573,242,772,458,050,153,532,933,064,227,238,014,684,090,736,
793,682,651,084,671,632,149,636,646,391,657,944,452,299,194,598,169,317,703,
821,641,402,240,804,084,094,630,009,777,839,157,606,500,427,372,713,019,541,
280,489,616,774,498,621,809,092,514,743,965,437,146,632,248,807,478,556,989,
711,616,628,022,046,641,381,374,919,089,706,221,639,700,857,136,376,270,999,
565,765,378,923,282,615,324,149,464,413,513,645,781,270,389,655,696,649,535,
745,368,588,219,083,876,588,598,122,521,348,276,653,408,314,872,694,324,318,
327,333,671,647,616,334,699,782,243,187,234,197,378,002,014,186,686,555,941,
474,585,563,886,599,678,262,050,700,823,765,128,723,596,129,469,112,798,255,
303,892,118,804,796,573,010,535,647,094,421,026,512,538,003,416,136,018,047,
986,328,809,876,216,990,532,692,272,791,653,159,327,903,921,907,897,226,387,
447,031,526,885,049,606,460,690,559,006,465,911,940,462,163,512,129,205,741,
619,976,663,056,328,439,216,406,520,578,418,391,453,772,812,467,395,543,472,
292,647,139,842,169,217,537,274,794,089,796,234,980,852,621,144,686,609,329,
626,031,914,851,611,924,817,328,257,959,470,111,754,940,859,339,476,002,042,
324,905,159,819,617,585,689,056,880,053,538,032,699,208,185,710,635,247,985,
819,547,974,460,254,141,790,721,015,843,608,441,682,814,655,619,146,986,504,
658,932,269,600,377,523,673,862,372,285,525,335,953,309,449,087,685,128,457,
207,530,077,117,631,334,486,403,469,676,896,828,104,566,261,654,277,154,563,
744,501,860,616,144,455,455,957,779,429,462,089,529,887,509,315,240,162,999,
276,587,927,556,769,470,332,842,608,650,679,468,172,098,992,613,009,648,164,
619,663,788,351,657,222,739,274,427,184,053,717,761,130,145,568,192,652,370,
499,340,179,306,540,471,931,757,231,107,515,440,063,536,807,200,930,052,716,
379,577,604,171,045,595,077,562,222,618,654,549,090,206,964,609,866,317,241,
492,291,020,468,630,674,179,264,505,155,015,202,227,655,619,273,419,744,431,
014,371,080,569,327,468,468,097,847,297,679,116,341,527,863,956,414,371,606,
734,525,075,597,156,728,872,781,452,718,993,105,963,157,459,233,604,229,963,
108,054,405,500,119,660,528,965,675,804,646,440,477,894,950,071,831,158,204,
078,721,211,522,788,372,291,148,856,202,685,863,780,240,286,924,116,733,891,
562,220,833,567,058,855,364,644,862,325,735,548,657,163,418,889,283,408,639,
933,368,838,230,429,698,271,258,741,701,216,350,575,168,823,173,737,883,176,
049,150,333,522,118,292,162,992,955,093,654,457,370,269,379,765,287,596,092,
760,325,059,617,869,345,386,075,940,493,451,462,681,026,950,377,218,799,331,
425,519,359,499,328,084,249,388,213,565,872,297,833,850,691,674,236,702,945,
657,851,046,851,664,556,225,612,788,823,104,414,219,760,764,475,460,676,296,
632,094,715,731,842,349,450,852,548,716,164,653,485,845,266,971,364,711,513,
775,958,850,353,238,185,353,249,436,540,278,245,078,118,470,221,235,320,347,
483,551,433,203,527,695,454,928,314,302,139,406,500,850,685,625,623,764,157,
246,040,468,036,462,675,076,248,588,485,349,312,977,549,618,002,222,401,395,
762,400,141,781,478,532,252,385,085,673,374,615,490,601,587,045,424,463,281,
840,996,711,349,232,840,910,785,642,542,913,832,328,966,137,772,249,026,791,
538,064,106,238,657,790,514,777,493,716,702,321,401,079,075,294,360,891,524,
633,159,121,369,835,204,416,374,378,085,298,050,041,943,353,122,655,629,597,
206,277,046,125,881,972,733,560,834,449,578,375,422,554,269,750,742,112,546,
544,462,864,776,057,058,491,107,041,359,625,933,683,025,152,012,376,444,839,
838,370,230,912,728,281,286,212,864,082,480,833,508,896,167,020,656,273,601,
342,481,700,721,179,391,769,807,517,528,860,302,662,342,063,359,564,792,285,
853,432,258,308,185,353,026,311,327,733,212,738,701,599,240,684,736,811,565,
366,538,407,724,909,756,906,707,255,421,250,957,449,556,996,940,181,180,287,
825,128,265,347,691,229,485,070,380,355,609,558,719,337,032,662,315,104,478,
305,172,555,700,448,795,279,422,152,983,467,209,685,350,385,605,934,506,043,
012,490,985,587,052,224,821,803,441,292,963,628,829,777,975,699,341,573,361,
362,261,848,027,101,180,802,851,791,620,365,999,443,653,196,191,466,456,312,
929,568,261,113,507,944,547,932,003,536,303,220,532,827,485,907,654,912,745,
069,820,097,660,759,724,604,499,762,277,410,703,043,575,507,144,069,349,391,
949,653,626,287,564,740,720,346,447,423,171,106,219,684,778,113,044,291,247,
908,717,884,061,708,071,520,813,777,173,312,790,182,189,753,264,741,038,534,
809,879,940,781,425,745,768,795,734,581,547,141,699,042,152,686,085,084,197,
359,495,622,968,565,465,083,863,793,492,066,974,925,334,612,509,305,143,943,
632,202,398,733,135,832,758,001,546,207,893,828,984,807,687,277,379,131,824,
616,222,945,188,038,205,994,558,369,498,983,426,481,473,068,773,822,712,719,
769,845,410,249,918,016,153,538,948,991,398,330,591,768,454,414,536,160,690,
054,978,388,427,772,020,770,673,006,837,807,270,137,249,463,534,710,809,511,
459,550,313,676,335,743,977,764,751,903,637,180,932,183,947,110,390,454,780,
303,113,454,963,642,805,950,442,506,030,478,827,713,534,658,257,741,156,050,
473,568,155,863,705,515,682,906,927,753,781,105,661,256,218,788,271,626,783,
621,638,001,381,442,436,666,082,290,737,458,320,205,142,722,769,901,051,958,
611,817,209,357,347,532,133,718,039,989,834,921,452,697,074,101,400,038,675,
731,211,394,877,160,463,709,159,765,619,164,541,111,626,576,240,534,139,492,
023,016,912,492,514,727,781,161,438,426,538,576,104,612,829,278,974,410,400,
702,395,103,921,249,537,603,473,549,859,271,799,065,480,765,227,135,620,753,
928,038,007,825,866,123,351,635,546,531,764,508,621,131,523,988,749,412,492,
758,399,719,752,306,451,805,282,921,243,355,606,381,334,099,073,157,851,855,
901,230,814,958,887,170,591,707,593,624,492,811,066,924,411,124,699,682,846,
706,555,526,530,586,714,607,717,980,622,482,740,057,189,432,463,180,570,289,
926,802,582,332,407,159,836,214,929,907,260,952,906,593,239,251,494,852,167,
280,898,782,744,510,208,571,158,993,381,500,270,117,023,592,811,228,350,694,
699,529,328,604,603,962,071,700,171,387,623,627,681,067,105,231,535,345,353,
538,202,185,068,217,353,215,692,612,845,982,001,247,902,958,848,561,015,550,
234,112,616,506,251,245,148,014,878,933,440,886,483,273,690,388,045,869,956,
049,626,505,357,348,816,515,883,296,197,122,918,987,375,518,201,235,170,980,
582,912,333,690,957,004,627,413,032,871,354,648,747,900,106,169,860,168,892,
750,814,567,497,520,071,018,923,130,376,882,158,131,628,558,099,995,729,645,
316,682,658,748,533,274,565,850,423,721,881,442,266,959,396,135,167,378,459,
414,084,380,842,446,903,346,526,906,132,710,955,328,685,100,655,400,758,333,
501,568,154,035,949,025,373,505,924,720,180,201,977,302,471,410,254,137,282,
904,474,637,560,242,796,137,545,724,837,851,627,841,030,032,076,115,808,223,
205,239,593,680,998,036,095,679,673,438,866,382,819,037,513,908,224,287,191,
024,040,375,003,802,008,089,665,968,003,081,158,689,033,426,061,183,827,314,
276,370,526,516,936,428,546,493,206,813,438,341,140,796,453,995,802,747,697,
758,613,915,950,895,712,897,095,944,862,112,002,092,415,425,524,733,691,433,
310,927,342,810,465,699,946,635,708,963,945,120,447,207,827,630,233,087,678,
069,105,707,344,150,189,035,044,107,799,099,889,684,504,802,301,986,866,748,
322,723,954,350,359,502,929,758,363,297,507,312,392,659,732,090,775,842,960,
457,265,193,914,048,519,796,191,733,356,554,039,957,311,190,493,147,852,694,
634,492,398,921,718,346,027,026,936,805,141,570,596,266,958,522,733,778,000,
916,694,827,556,825,492,851,079,062,684,250,333,082,266,105,636,826,022,526,
416,212,371,403,196,470,791,935,941,871,035,068,385,075,819,326,322,367,142,
624,123,752,273,957,187,241,108,074,396,982,046,291,173,008,513,277,041,540,
101,646,318,833,712,820,314,546,772,588,891,375,324,506,525,132,232,503,314,
702,513,118,195,815,420,484,241,137,571,932,578,519,684,782,319,617,521,397,
759,447,277,718,272,534,418,566,853,867,017,806,513,257,871,487,968,600,658,
577,791,761,968,861,541,400,016,842,926,664,697,418,263,191,928,344,638,701,
122,719,228,151,705,758,885,809,843,509,271,575,163,245,594,517,942,821,158,
004,193,348,081,664,150,402,174,582,345,064,200,942,844,362,388,810,095,037,
804,357,330,252,932,225,068,904,375,048,414,123,644,283,354,348,640,036,119,
910,897,927,533,554,379,933,149,268,066,155,470,718,585,744,523,528,420,227,
035,549,527,814,856,372,312,784,765,882,095,109,107,094,242,398,632,998,926,
212,526,031,564,593,838,232,066,090,289,215,778,427,947,360,051,470,172,500,
420,729,210,304,806,188,547,411,431,197,004,327,294,491,073,148,381,690,604,
343,237,149,134,714,443,647,230,408,997,411,510,741,401,179,141,538,675,127,
275,858,959,568,917,536,231,781,913,099,534,047,598,021,607,281,555,938,724,
054,836,521,331,394,105,225,633,080,245,933,329,830,648,592,404,845,365,230,
585,011,712,941,643,704,607,102,084,213,387,978,482,327,770,760,598,645,584,
278,701,130,974,828,202,820,950,186,840,361,162,847,606,423,799,577,137,168,
608,922,956,674,516,603,980,953,207,652,060,815,937,987,613,741,413,581,747,
450,936,716,036,854,315,459,041,405,494,431,168,954,434,213,750,053,579,496,
150,000,777,440,877,756,529,348,148,480,981,954,284,779,257,114,474,235,262,
907,867,987,219,940,663,607,664,786,380,634,963,502,249,098,553,099,535,327,
712,025,830,738,808,233,611,109,193,804,592,615,718,602,583,191,245,097,216,
587,431,313,691,544,213,017,363,669,673,799,822,944,215,158,236,551,583,756,
864,260,030,864,626,949,075,777,843,386,216,492,615,475,783,875,505,398,774,
694,857,589,374,014,482,373,734,569,638,528,494,305,661,254,676,317,151,805,
635,272,440,904,447,960,437,020,807,878,911,942,109,532,675,888,949,378,824,
682,313,373,809,027,028,225,991,008,062,143,259,845,170,531,143,703,648,499,
310,220,683,711,264,180,619,745,389,235,509,899,805,349,747,237,349,277,949,
890,888,856,446,255,438,215,878,871,453,368,524,365,044,463,968,750,365,701,
113,235,721,782,044,854,849,745,941,935,276,111,599,258,233,348,850,181,679,
541,347,623,674,173,532,090,212,127,764,059,423,621,614,466,850,207,190,952,
027,832,896,815,632,234,712,679,867,570,410,933,045,554,897,864,156,593,246,
600,983,545,841,049,312,088,400,450,774,064,186,233,145,855,113,642,829,284,
335,638,163,512,385,764,462,715,067,088,452,136,894,733,577,722,413,995,404,
092,203,245,616,538,576,572,692,053,606,361,753,109,199,193,837,642,405,277,
569,078,461,904,820,691,924,564,596,085,728,515,808,014,725,794,811,556,805,
848,822,360,119,779,361,047,547,604,078,003,452,612,792,424,268,478,317,766,
973,533,166,445,661,759,087,163,379,707,165,908,506,213,383,554,390,150,180,
621,345,979,321,157,920,621,994,962,730,877,185,442,872,909,712,192,593,571,
098,634,213,493,327,039,026,898,459,676,918,302,848,428,685,406,530,297,405,
932,716,895,085,039,753,946,860,814,995,345,442,166,069,726,337,984,678,223,
073,114,444,803,842,005,527,789,583,028,404,341,175,696,779,676,178,737,529,
062,078,744,368,333,758,440,009,835,149,060,326,110,115,272,034,556,756,875,
868,457,135,844,315,204,700,792,327,528,831,824,605,629,231,180,517,235,453,
785,053,412,037,986,640,798,414,869,380,537,922,407,080,126,316,196,727,409,
386,990,162,424,864,581,803,530,918,793,555,620,970,663,408,104,528,465,507,
132,921,910,945,578,213,587,695,369,927,403,305,144,878,007,147,003,433,179,
330,824,085,114,566,520,620,852,915,321,551,331,445,893,492,233,199,779,974,
157,678,926,797,068,196,645,680,889,656,331,284,726,817,268,897,508,261,163,
948,432,862,670,324,098,942,061,424,738,106,635,481,060,173,781,482,572,196,
835,793,699,707,182,208,329,002,174,045,642,493,568,502,827,664,477,225,626,
515,994,513,388,051,610,368,266,875,832,081,635,037,476,929,285,238,135,634,
687,588,700,732,088,977,998,097,595,366,477,807,549,320,188,398,230,290,705,
764,056,834,346,726,286,710,463,633,886,034,079,339,850,097,738,894,158,370,
523,770,043,183,419,794,725,029,811,350,981,922,521,405,170,004,126,432,619,
114,149,912,324,537,317,676,123,828,206,196,690,629,024,762,665,540,301,200,
529,027,517,599,735,826,057,989,732,911,279,192,197,770,911,726,929,835,843,
601,728,597,157,885,865,122,014,148,085,684,527,127,391,567,434,836,506,250,
439,109,491,652,643,911,320,482,633,201,826,324,238,112,317,693,180,504,811,
052,500,818,321,566,325,875,099,220,300,412,983,087,919,579,876,167,108,337,
265,545,449,606,680,711,614,767,480,151,197,441,906,321,789,945,990,661,678,
422,493,378,530,279,382,438,383,532,567,455,097,190,341,519,737,954,686,600,
200,089,590,301,801,087,445,637,203,156,218,909,739,350,081,326,317,674,092,
600,389,377,777,539,993,658,940,896,297,576,495,911,645,239,584,057,114,383,
205,848,150,600,289,077,234,960,772,033,388,425,222,058,024,119,046,578,808,
441,831,593,172,565,560,226,485,517,817,889,866,880,921,244,887,270,480,822,
065,718,954,951,661,398,909,811,431,196,201,684,563,464,364,413,968,593,443,
267,039,989,167,988,109,216,608,735,987,966,478,236,310,689,371,820,988,465,
585,131,446,671,234,707,918,794,116,498,084,274,859,851,998,640,755,574,524,
420,961,714,241,797,044,340,319,219,404,674,432,052,686,847,074,758,227,495,
414,661,984,443,596,863,069,156,471,542,957,070,754,986,344,142,047,502,821,
714,162,204,325,869,890,542,871,776,776,302,957,051,603,014,852,262,963,036,
660,711,566,121,223,567,959,788,494,714,395,434,243,922,866,693,271,594,148,
279,589,088,218,727,567,985,567,547,688,771,652,436,418,375,091,585,229,296,
895,449,654,233,360,410,972,342,115,258,894,428,300,459,112,926,910,068,523,
697,215,577,019,673,348,904,761,424,438,990,540,451,616,759,379,807,844,974,
267,738,805,592,446,112,644,679,305,145,063,105,771,852,438,406,221,422,037,
914,905,910,017,506,260,205,202,833,329,519,407,675,832,353,886,211,696,734,
188,643,935,209,861,408,404,828,105,105,297,948,990,187,702,608,479,525,999,
979,404,604,108,687,408,933,866,212,850,730,438,258,252,228,038,068,852,910,
584,076,528,318,768,882,698,277,693,793,213,722,002,934,178,065,872,892,596,
003,157,021,016,011,834,429,149,136,255,747,956,574,305,572,577,734,399,939,
872,063,832,159,603,253,903,767,994,578,225,054,123,775,008,346,090,547,191,
091,220,813,132,345,218,668,810,304,186,659,291,813,028,910,175,440,472,626,
063,625,637,289,305,409,627,254,102,051,709,366,891,208,172,057,152,014,792,
688,281,875,352,573,169,782,864,809,272,255,751,904,944,939,493,731,152,309,
351,797,937,852,033,567,926,177,972,240,864,345,036,548,462,336,028,726,765,
735,316,526,749,565,164,199,848,403,762,760,642,744,287,730,815,446,816,218,
838,936,736,524,444,861,445,404,916,161,419,045,857,366,706,370,281,049,998,
522,665,917,181,863,727,975,009,774,080,114,535,136,312,679,981,675,904,302,
927,024,896,324,195,907,193,606,391,554,434,794,026,778,939,501,279,478,903,
375,483,771,785,982,429,498,360,607,985,975,990,078,897,285,254,789,814,994,
240,957,575,490,701,936,283,310,240,324,128,663,940,469,374,858,185,852,787,
693,070,167,004,772,836,227,674,788,201,545,305,263,056,332,377,094,949,882,
659,975,694,645,682,948,506,965,626,490,115,878,144,317,878,009,570,067,594,
631,891,067,662,916,048,304,624,958,365,119,396,599,289,763,937,210,988,552,
189,934,674,799,907,793,457,991,001,044,098,924,846,471,636,427,157,066,967,
233,656,283,164,874,048,314,086,498,522,491,508,110,504,217,581,635,346,216,
748,657,757,052,290,143,743,069,420,666,096,290,794,150,468,587,366,459,804,
381,368,251,620,548,020,585,529,721,764,484,228,120,054,658,028,421,857,569,
421,285,899,196,049,139,671,388,628,593,269,259,242,522,787,524,076,874,710,
870,761,047,470,480,931,035,673,530,051,422,713,870,650,708,833,446,820,500,
001,947,273,170,849,921,816,554,612,164,384,530,533,841,690,482,493,810,166,
888,941,201,417,397,927,870,416,074,606,525,902,396,669,280,473,696,132,084,
871,811,194,253,528,865,413,283,998,487,078,667,650,856,605,251,484,579,691,
138,077,161,263,479,724,205,988,422,931,420,747,064,704,774,907,399,965,721,
774,963,721,412,292,938,621,174,196,590,762,649,226,974,542,976,425,912,702,
282,098,288,099,236,210,448,672,146,929,371,036,670,827,356,310,077,680,518,
795,081,414,559,426,837,858,410,245,593,865,810,363,292,224,612,510,209,867,
197,955,268,448,309,217,072,469,933,100,429,605,160,541,768,711,212,168,626,
863,619,833,526,828,278,324,749,697,111,691,018,439,850,926,782,668,981,509,
393,205,804,382,570,075,497,276,902,039,558,432,979,239,415,323,500,607,719,
254,491,969,902,997,004,274,005,347,079,279,455,534,912,300,520,817,884,836,
112,087,816,501,242,735,762,166,509,076,728,627,535,616,942,966,489,348,822,
888,048,291,689,723,024,885,818,585,707,431,393,051,163,421,900,947,309,998,
043,858,424,564,961,092,311,439,846,689,866,559,369,948,841,880,215,629,588,
554,040,542,660,005,737,284,275,182,010,667,617,106,391,047,823,284,546,335,
430,870,096,351,948,317,160,974,453,624,379,276,611,474,604,334,330,138,532,
738,346,637,793,561,345,803,584,877,311,714,432,185,183,763,809,013,181,276,
749,016,649,924,509,472,665,158,686,352,914,373,354,161,709,626,849,240,657,
962,586,311,814,974,365,024,925,427,187,418,854,459,076,500,441,833,428,744,
356,785,779,509,721,667,611,126,858,119,462,879,017,017,347,075,533,921,848,
797,572,315,247,930,419,462,954,941,403,960,718,664,889,969,915,744,512,138,
561,182,004,141,031,527,801,949,463,061,572,138,951,826,977,232,956,154,087,
420,508,253,231,440,388,791,033,585,372,748,175,824,574,206,562,764,401,238,
812,543,640,997,584,005,063,501,070,969,055,709,796,918,562,485,220,401,806,
776,229,526,545,683,070,290,173,357,923,715,253,523,780,678,006,059,160,410,
461,211,057,879,416,748,595,332,564,123,265,368,937,082,655,819,205,379,817,
492,890,872,066,143,915,173,864,481,616,669,887,525,795,101,117,052,947,843,
373,931,864,990,944,924,153,282,757,696,885,596,312,960,989,174,325,377,558,
082,383,144,341,032,306,875,796,477,486,717,713,584,013,989,272,600,555,575,
872,949,241,954,352,664,456,473,757,458,425,205,248,227,366,919,887,481,886,
767,414,551,094,639,902,315,340,700,010,648,516,178,111,558,851,571,911,328,
921,379,404,612,183,223,558,028,438,397,538,134,366,108,378,641,296,270,375,
650,863,708,156,762,828,103,293,150,324,744,381,535,473,300,948,174,361,476,
209,543,749,955,870,815,044,738,622,514,038,555,129,593,091,474,508,376,498,
156,007,376,206,958,397,884,503,077,512,454,692,127,644,857,240,913,233,677,
774,968,679,803,505,909,517,116,492,186,256,506,122,710,149,240,846,617,452,
231,859,934,871,602,286,500,382,288,929,287,442,596,642,073,775,806,056,417,
532,856,904,686,718,583,252,526,322,818,424,909,869,385,603,543,096,742,675,
779,874,272,550,601,903,927,001,442,522,943,106,059,663,671,528,285,992,388,
079,663,982,144,040,001,127,462,887,732,969,114,455,978,908,486,976,077,826,
273,972,905,233,387,761,581,531,909,971,121,773,695,515,644,721,577,323,473,
447,633,653,761,269,761,581,750,728,429,038,562,296,620,100,508,355,989,911,
370,864,265,942,758,601,222,445,256,616,285,857,813,121,806,953,073,607,507,
043,732,834,242,411,270,638,558,348,865,247,671,887,408,930,645,295,994,014,
895,326,384,185,439,738,869,085,275,920,352,333,385,911,270,952,948,605,743,
953,905,511,309,917,493,273,627,054,332,988,041,722,261,828,729,293,479,064,
807,807,047,067,291,304,779,925,953,862,909,273,903,953,742,886,124,329,691,
349,666,146,974,724,605,674,196,940,031,812,653,957,661,581,227,178,548,172,
114,654,068,891,914,384,490,075,414,142,976,609,018,514,249,743,033,569,396,
318,539,777,409,391,429,702,958,009,803,438,843,284,248,180,880,323,812,851,
751,873,721,181,968,383,576,532,236,654,436,220,077,264,104,634,796,769,173,
885,721,036,856,133,671,411,015,739,319,112,130,321,510,536,562,887,536,903,
022,853,494,724,713,288,430,283,563,982,243,857,937,100,266,969,846,988,469,
568,112,819,690,922,691,131,348,368,085,479,134,897,875,494,429,980,420,762,
650,274,672,660,139,622,535,071,558,083,305,880,070,201,690,946,464,871,448,
289,545,775,842,985,886,717,666,924,733,136,076,943,251,016,772,648,937,544,
497,996,004,872,585,736,538,620,901,276,313,853,032,616,628,612,292,573,158,
236,359,915,642,393,854,198,894,105,490,394,472,229,859,611,913,597,071,698,
514,580,876,112,921,746,671,198,820,712,592,971,749,962,758,199,868,722,496,
905,505,867,650,392,591,169,704,488,333,970,650,337,703,893,135,004,009,378,
626,264,050,647,899,076,536,769,120,882,347,474,092,848,249,103,596,619,417,
657,066,623,652,751,032,039,062,945,797,829,420,570,954,135,379,840,482,439,
477,455,920,794,491,451,876,671,491,572,754,098,392,147,066,100,246,145,212,
857,008,358,524,876,930,999,322,596,180,206,768,487,709,050,464,279,856,852,
072,903,357,492,434,668,706,115,128,788,981,583,365,981,231,115,802,504,025,
035,589,072,340,734,440,723,196,836,778,224,891,430,557,518,961,082,451,146,
400,345,576,037,323,458,099,354,784,550,187,638,963,287,034,872,810,715,429,
251,121,692,370,728,635,831,462,112,969,325,139,085,486,771,257,620,766,582,
285,940,772,416,225,715,865,422,990,578,053,434,516,811,890,766,555,933,781,
726,966,080,627,007,056,310,720,421,163,675,129,385,414,185,208,083,410,714,
142,296,037,080,643,191,474,997,984,924,086,217,281,140,110,859,655,277,176,
383,496,369,284,869,476,826,643,749,116,055,593,011,177,642,544,725,328,712,
979,354,429,917,523,787,086,047,614,505,218,193,379,370,284,037,080,168,217,
701,642,660,530,903,264,387,247,849,416,749,887,338,325,061,601,911,015,055,
571,241,833,924,900,369,940,881,427,216,643,778,453,815,838,836,850,319,383,
337,914,816,862,111,478,459,337,360,102,963,839,687,906,231,988,243,144,791,
193,646,655,162,596,493,253,428,373,040,007,339,066,048,810,730,161,628,146,
392,101,389,782,264,157,513,109,085,233,489,863,492,888,751,230,389,581,910,
416,036,073,745,688,535,160,341,098,681,634,673,363,427,056,898,773,073,218,
457,711,703,867,641,220,853,355,382,416,018,094,104,967,194,874,674,182,081,
037,977,626,682,071,212,705,486,211,414,782,183,621,487,084,959,117,605,460,
857,858,105,664,665,728,259,312,401,474,828,706,799,504,053,445,864,933,113,
243,468,374,458,772,225,670,750,403,433,694,065,802,370,093,851,929,864,542,
702,214,769,311,451,096,932,934,924,440,884,495,773,643,616,015,562,523,146,
246,552,900,755,464,661,729,476,567,360,816,029,771,426,734,379,469,981,543,
201,264,122,560,684,812,326,273,249,475,985,693,170,936,581,303,365,181,028,
092,784,496,971,933,835,369,197,225,967,958,852,632,452,423,366,824,200,680,
898,311,395,520,779,135,111,052,308,402,484,343,952,382,613,397,626,526,407,
692,003,926,244,807,652,085,220,076,781,403,041,155,196,986,708,277,604,704,
671,549,580,699,729,008,677,305,821,726,432,730,460,924,446,803,424,832,103,
546,314,264,338,585,707,118,936,137,977,091,541,551,146,971,640,864,244,032,
030,016,784,909,267,264,663,265,609,737,225,469,993,267,477,793,371,481,000,
594,078,239,612,584,079,654,760,066,395,321,790,914,087,235,783,460,830,147,
104,452,359,999,442,748,762,006,822,596,038,967,260,249,704,906,554,892,436,
102,812,764,154,899,591,614,816,168,752,168,533,239,586,701,185,995,333,299,
759,560,716,179,932,896,919,696,124,483,321,858,799,432,020,960,431,056,914,
915,952,426,926,646,093,938,307,095,885,262,738,561,182,452,895,949,851,369,
318,349,257,802,135,686,399,675,985,714,258,903,020,033,643,975,878,917,703,
893,109,288,985,562,839,035,000,694,341,745,577,091,206,290,787,942,182,627,
446,371,543,597,403,386,016,332,977,382,881,391,656,357,174,924,590,369,601,
979,916,727,541,749,496,343,472,665,645,994,989,129,842,924,897,711,343,312,
662,100,170,047,293,330,435,051,762,493,979,129,989,386,955,359,725,002,721,
337,718,838,049,513,159,493,114,317,457,101,311,798,509,517,304,808,788,844,
322,139,891,751,142,132,150,179,292,781,215,647,025,226,710,314,253,302,504,
471,212,981,154,114,076,681,687,625,566,331,319,824,434,423,884,871,512,698,
882,016,944,739,946,812,808,378,758,436,218,087,134,504,770,502,671,626,454,
729,786,629,421,877,965,143,018,985,158,437,384,565,079,875,776,101,918,784,
273,127,614,742,068,481,961,650,335,232,224,458,642,632,548,244,100,918,127,
899,901,755,956,107,664,421,951,785,830,351,620,351,745,005,722,769,999,854,
189,238,921,464,871,952,210,213,908,563,049,909,651,101,832,769,279,550,655,
913,622,429,570,558,012,858,484,014,890,696,736,462,037,051,853,495,071,356,
244,375,253,194,140,220,030,149,078,086,141,803,772,147,434,580,173,737,388,
314,688,464,789,540,120,515,685,704,283,067,595,399,549,886,342,603,447,129,
894,262,485,160,977,879,078,870,260,903,835,519,165,718,668,177,835,857,380,
230,100,196,700,442,259,970,768,897,565,168,931,833,452,023,668,286,954,352,
125,431,208,769,612,093,925,999,686,338,699,916,571,933,622,926,690,398,220,
762,537,482,900,769,982,969,675,436,977,404,376,838,531,241,793,580,584,425,
580,687,733,780,311,222,931,965,048,760,897,389,844,304,666,834,773,897,710,
532,419,843,716,717,437,417,198,062,143,608,934,928,217,953,428,514,544,152,
338,829,995,760,464,712,922,925,686,850,701,351,171,792,243,289,103,593,508,
738,368,571,478,319,283,324,192,802,906,676,829,053,167,995,132,048,476,495,
168,662,208,721,683,847,047,528,889,955,204,231,360,230,827,735,387,747,417,
792,399,994,815,096,818,896,895,397,477,376,725,770,179,053,802,586,980,871,
662,593,430,364,595,926,885,906,489,513,427,259,701,465,158,210,587,849,651,
588,549,240,099,038,473,510,433,826,001,517,744,266,407,441,322,948,255,222,
020,572,903,535,440,423,256,075,780,931,356,474,533,037,113,242,903,354,859,
042,274,860,391,934,699,350,178,350,737,064,473,528,786,177,744,722,073,839,
876,681,481,479,755,308,464,372,664,593,264,930,063,159,382,341,146,140,907,
812,506,150,427,705,779,325,189,786,942,726,290,535,378,577,156,709,997,975,
033,050,348,031,879,432,285,891,339,970,561,762,135,013,018,694,771,041,122,
010,242,585,861,336,565,266,450,430,150,126,134,460,914,191,522,270,052,425,
015,194,563,582,079,781,911,216,349,268,439,913,645,172,251,541,161,463,160,
148,540,698,789,401,956,874,362,073,902,218,420,979,131,841,362,599,644,857,
312,240,053,779,140,974,103,510,861,270,381,268,327,145,976,207,259,219,665,
576,016,447,733,033,364,211,891,540,314,053,036,098,504,050,471,677,380,189,
001,740,751,436,862,644,848,441,010,599,244,812,792,031,080,579,108,001,503,
472,843,057,714,334,125,615,430,456,313,794,248,430,203,867,581,112,325,397,
079,330,724,151,204,342,799,013,108,862,087,436,175,944,181,467,901,040,071,
606,964,757,242,895,682,630,190,019,940,481,978,894,734,055,801,871,024,164,
737,702,016,236,140,965,491,388,166,153,749,933,800,792,571,017,106,620,566,
363,828,479,677,605,102,321,252,101,792,353,370,237,424,221,084,307,275,653,
424,119,694,002,580,878,670,702,056,215,382,365,900,026,861,355,098,622,025,
100,088,001,973,379,541,842,858,555,590,350,746,874,261,533,570,014,397,783,
815,655,725,772,998,785,979,606,668,311,958,505,705,968,731,721,141,475,584,
851,700,271,271,036,953,539,241,571,623,486,422,359,727,342,139,628,396,778,
815,314,987,944,307,390,991,367,247,600,492,033,700,667,411,748,265,446,923,
700,908,044,183,226,956,999,949,290,250,417,711,246,925,311,890,258,501,495,
795,624,047,326,161,378,151,999,184,729,207,549,429,930,072,066,401,020,423,
515,217,921,284,426,573,888,025,165,328,619,917,124,359,314,975,152,671,702,
422,109,678,245,740,963,520,140,221,628,580,969,599,519,749,692,590,817,308,
951,032,988,252,179,618,094,337,838,473,606,390,703,614,405,482,079,803,744,
225,758,487,299,429,349,840,634,405,924,219,819,416,674,334,554,564,141,273,
007,605,268,952,042,875,962,179,903,808,196,742,458,045,358,242,009,380,992,
100,953,529,985,091,805,169,661,586,979,341,210,168,393,199,774,930,065,735,
106,665,742,310,740,417,119,462,615,388,578,705,224,894,652,355,530,736,070,
778,574,459,401,340,149,501,295,309,908,710,116,371,022,410,776,940,167,458,
723,478,383,730,804,207,228,317,620,956,981,998,648,704,077,258,949,316,028,
238,569,104,737,265,351,339,885,440,836,294,688,034,666,722,506,766,696,483,
204,399,752,759,691,861,261,933,635,738,412,735,891,423,956,822,261,823,695,
025,388,593,534,474,177,948,889,164,711,242,269,414,469,773,429,319,499,985,
648,006,234,938,802,207,500,024,447,759,919,645,475,566,975,640,245,431,815,
732,512,851,305,599,935,519,873,141,513,181,094,980,456,819,173,039,327,371,
499,919,420,442,656,150,962,933,524,809,931,192,411,652,598,925,276,846,001,
312,491,580,398,077,649,479,192,528,603,942,304,804,023,167,613,062,207,303,
278,307,709,061,772,670,975,000,879,465,558,858,001,194,150,227,019,146,241,
361,229,830,211,322,714,416,886,304,637,683,655,001,053,382,759,020,590,802,
985,884,254,319,166,644,937,374,195,011,842,534,280,686,552,218,475,996,877,
477,767,139,138,782,400,846,163,400,490,007,019,419,151,235,816,450,973,460,
340,099,665,297,588,954,429,677,738,071,620,165,345,205,425,833,948,436,997,
394,847,906,298,004,112,037,293,868,364,382,897,372,427,452,911,377,671,126,
272,920,404,450,758,061,325,909,123,849,192,174,870,214,559,379,279,169,754,
606,742,947,099,432,368,984,984,289,707,132,601,892,058,493,505,130,264,324,
531,009,193,617,385,124,229,725,352,638,956,988,348,350,757,009,782,213,884,
457,207,462,561,225,213,798,241,525,067,105,956,367,791,135,910,830,004,220,
323,099,190,375,329,922,254,342,233,456,579,034,368,784,215,497,925,055,241,
985,118,740,341,095,289,168,568,972,132,766,959,955,008,475,510,105,062,623,
252,564,182,393,927,839,578,344,465,371,830,758,036,192,336,366,580,766,001,
010,090,694,225,918,388,360,655,267,650,420,279,857,919,802,166,684,305,296,
064,074,221,242,291,895,846,802,866,202,257,345,308,849,436,603,324,016,553,
584,554,655,833,662,344,297,595,853,906,029,361,599,669,013,634,653,119,306,
960,845,070,994,067,757,776,258,886,692,794,242,543,638,060,164,045,432,291,
732,067,959,420,593,968,438,894,386,553,694,621,815,314,627,041,204,243,289,
972,322,610,353,323,732,955,710,774,830,700,826,507,538,484,132,384,993,000,
801,910,148,053,667,506,971,040,621,331,618,101,693,765,668,196,831,219,740,
480,634,136,981,531,743,303,332,510,017,136,418,535,781,588,385,356,732,801,
940,681,206,722,347,278,137,261,422,801,204,075,915,248,582,011,198,444,120,
462,188,389,579,992,557,631,051,668,153,268,950,405,951,694,539,094,814,811,
363,894,501,869,471,591,716,784,233,911,482,874,148,741,978,244,271,624,896,
024,322,454,873,957,802,547,793,126,852,765,613,726,306,589,885,457,549,903,
273,987,727,895,714,983,331,690,335,548,793,520,876,411,079,566,528,911,311,
905,194,075,378,327,830,317,197,474,828,162,106,830,425,015,046,038,494,804,
761,311,874,337,573,285,010,713,400,541,128,613,991,798,258,679,648,975,908,
209,758,465,137,587,550,743,224,565,318,107,244,640,483,018,101,213,024,979,
999,736,318,546,250,204,565,251,440,700,694,697,603,070,936,869,179,266,386,
467,952,016,147,446,395,986,692,162,856,452,903,571,714,618,845,765,682,390,
947,103,082,853,561,766,326,153,797,066,951,167,418,685,591,137,411,159,171,
405,882,760,466,943,337,406,975,213,253,319,288,455,503,476,914,901,618,490,
304,947,110,935,314,712,163,710,099,461,909,367,037,651,953,125,864,348,570,
977,851,953,457,231,315,462,280,528,649,369,047,945,558,769,901,692,196,195,
717,555,587,660,069,647,844,246,405,287,994,156,173,707,451,849,170,470,790,
265,411,709,825,466,606,150,306,586,618,877,645,418,122,461,921,727,853,844,
286,138,738,702,230,332,996,613,337,520,062,134,694,712,558,334,751,090,882,
609,199,609,065,189,422,406,662,130,047,005,396,486,198,666,567,427,196,461,
015,632,785,301,529,605,749,834,229,792,452,380,237,420,819,879,714,783,679,
216,672,984,475,149,020,386,551,309,551,404,854,221,336,307,336,175,552,794,
531,097,989,087,379,754,961,308,865,193,595,764,131,154,446,011,726,152,129,
526,296,077,007,844,548,446,768,920,684,021,864,914,284,561,997,823,502,064,
774,077,143,860,030,293,757,986,734,049,330,138,780,704,594,092,282,668,533,
083,078,810,946,201,070,869,663,297,484,551,274,507,314,301,486,663,841,894,
762,265,060,635,479,114,353,275,510,039,600,956,826,393,889,877,460,954,941,
649,038,517,927,958,423,984,780,182,864,271,897,430,385,916,846,867,437,197,
111,927,883,381,852,763,920,010,508,593,902,328,549,496,420,611,171,530,531,
425,337,959,022,800,900,271,827,198,772,682,739,334,593,308,343,702,594,470,
133,090,721,912,099,256,781,911,508,350,393,832,251,566,143,316,817,266,591,
478,443,668,579,532,592,328,577,161,868,583,343,324,200,484,362,278,501,551,
892,408,388,815,024,151,385,999,739,656,050,751,395,750,586,741,404,615,370,
461,014,981,155,788,255,163,872,686,547,905,165,789,816,280,330,370,904,726,
406,860,026,946,429,611,146,916,877,295,353,454,735,165,012,733,608,418,554,
573,521,213,432,861,978,047,504,774,229,346,686,317,489,300,172,978,320,121,
860,675,838,801,756,473,543,417,381,250,663,940,049,523,383,636,586,386,036,
740,507,680,963,264,630,390,560,472,510,458,356,115,451,141,399,386,401,605,
796,373,056,861,947,635,512,254,107,939,932,889,449,004,537,549,512,342,413,
888,094,569,286,174,783,941,512,460,972,479,455,447,458,966,500,808,974,104,
734,541,793,560,633,726,538,575,652,572,370,448,015,699,238,567,128,986,316,
158,263,794,187,213,755,869,583,102,249,186,982,612,024,113,035,157,917,513,
961,889,008,716,657,319,632,057,484,042,747,435,505,291,170,689,019,096,993,
879,759,608,153,321,023,910,038,292,222,389,774,178,558,731,527,165,964,946,
622,698,547,250,333,979,345,696,926,593,746,748,348,135,856,284,447,970,369,
477,616,910,558,593,417,163,527,269,223,989,745,521,269,187,260,300,682,059,
702,792,773,190,807,988,364,576,336,688,121,034,268,386,326,451,152,699,005,
565,326,300,082,926,941,430,803,323,516,044,740,896,674,492,570,790,275,335,
215,375,614,667,550,639,933,706,885,445,722,019,426,898,100,446,207,542,488,
907,699,041,114,390,040,393,387,487,558,041,372,788,433,195,211,109,327,311,
822,697,092,367,982,006,362,256,278,293,634,474,344,300,363,960,236,563,616,
742,697,894,918,604,095,899,510,992,967,322,231,071,226,807,884,918,306,786,
039,016,976,053,413,074,016,575,073,220,120,558,683,348,233,931,566,102,996,
933,355,807,505,128,759,561,965,225,404,657,579,885,301,761,936,405,087,935,
688,363,821,511,963,158,122,082,027,788,264,374,753,810,150,977,728,458,918,
121,813,090,850,818,524,994,226,316,602,858,986,702,201,922,662,442,715,665,
251,422,843,077,899,655,859,103,376,164,020,399,393,277,015,627,046,597,853,
067,393,625,583,513,219,614,711,436,370,575,308,630,825,244,650,369,912,098,
147,122,864,884,307,761,816,997,601,045,006,486,135,177,677,130,426,164,361,
721,179,052,649,185,644,372,359,933,862,080,744,750,726,022,933,898,179,375,
744,043,643,367,177,322,636,234,490,781,358,520,190,392,840,992,777,513,672,
270,976,482,060,021,272,593,905,867,827,067,548,559,961,645,148,643,048,384,
647,582,387,592,787,800,290,329,611,676,974,444,236,429,877,133,436,232,188,
183,291,311,787,527,372,427,492,036,030,340,043,437,058,944,870,499,492,265,
630,798,164,413,475,014,777,438,094,012,125,048,190,254,859,827,055,439,543,
970,649,864,997,458,351,373,582,343,459,801,191,829,909,307,333,082,857,547,
772,691,376,740,482,878,356,198,949,999,661,203,032,171,565,898,808,481,747,
905,531,288,633,456,420,597,492,109,077,123,725,598,984,402,274,921,312,887,
523,552,782,105,242,511,486,183,272,016,018,101,615,896,405,905,682,363,166,
474,319,349,363,693,823,440,691,308,929,140,874,809,174,775,994,141,530,132,
882,750,328,673,231,200,705,287,124,413,158,071,788,453,501,940,619,497,466,
344,337,194,162,615,652,995,974,295,828,666,058,710,585,815,327,883,125,035,
524,148,778,346,450,561,663,221,720,030,917,118,728,722,169,897,084,973,498,
552,744,396,701,123,345,706,702,644,310,956,324,940,086,664,666,100,962,621,
664,054,850,410,510,064,714,545,717,278,420,394,998,160,867,958,850,197,609,
097,732,213,847,223,469,895,325,191,056,548,190,443,103,465,335,242,408,712,
406,612,813,254,349,840,575,125,611,128,948,767,907,925,394,831,875,122,452,
997,822,095,701,168,564,037,899,257,609,710,686,201,253,698,172,354,943,239,
154,559,702,120,650,578,610,801,277,378,206,914,630,090,966,492,657,772,074,
277,059,514,776,467,497,297,302,796,113,935,200,523,855,168,190,369,601,973,
476,097,846,385,659,443,568,070,625,070,438,390,018,475,945,313,660,836,633,
122,233,399,385,823,925,643,409,149,365,379,643,832,342,771,071,912,911,322,
892,908,873,628,065,055,535,328,174,068,699,003,082,080,534,357,869,842,780,
548,599,262,542,961,927,799,840,147,222,535,542,992,583,381,557,398,803,521,
467,582,496,947,315,349,599,161,249,606,095,055,888,190,896,815,569,861,658,
229,708,649,529,621,005,926,462,339,400,101,537,646,028,214,468,579,137,446,
376,909,431,662,096,773,765,150,121,757,750,046,181,409,108,161,992,622,324,
132,049,518,441,566,574,384,945,925,527,133,864,881,954,432,562,303,606,255,
512,894,353,952,612,804,661,233,789,173,008,882,781,670,503,409,665,131,942,
504,323,299,761,648,527,939,537,076,776,982,324,953,054,473,008,126,245,411,
694,426,005,711,759,827,778,285,498,884,541,472,938,366,231,879,847,084,355,
355,910,156,819,253,505,825,690,939,388,524,771,147,015,835,351,840,879,901,
776,725,673,273,431,742,339,288,461,035,408,908,937,300,070,942,594,359,125,
140,422,583,108,969,503,769,574,203,801,817,683,782,564,561,714,444,382,307,
540,843,309,019,514,654,712,063,767,428,824,482,599,724,949,609,799,514,477,
904,950,958,895,430,741,610,356,366,523,485,188,118,141,071,006,235,161,115,
767,617,241,524,125,295,484,364,061,146,443,818,474,059,949,954,815,229,927,
092,672,124,469,325,306,132,168,440,677,582,132,663,709,420,331,155,040,913,
839,223,137,144,466,800,014,891,545,126,871,665,145,425,965,229,749,259,418,
801,817,167,915,872,161,464,474,526,687,828,850,739,805,857,456,272,490,317,
294,491,388,345,705,143,475,780,309,542,349,328,198,602,810,746,738,031,348,
030,127,416,156,386,533,563,441,571,061,995,767,121,364,933,731,673,087,749,
603,122,502,139,367,695,878,872,646,696,974,422,688,243,813,209,271,112,472,
086,529,103,346,184,685,813,876,990,368,770,478,507,073,866,218,384,748,397,
986,509,451,948,787,357,069,234,303,125,173,866,801,277,470,495,491,763,527,
068,593,837,440,911,492,850,473,117,699,751,054,510,054,451,464,643,306,583,
474,395,177,658,953,011,800,581,542,877,293,056,956,115,540,535,367,336,124,
975,763,110,790,344,929,255,158,468,266,132,365,183,038,399,358,863,573,311,
126,915,349,812,442,384,848,298,030,954,565,957,092,207,322,663,950,473,182,
437,454,353,901,453,544,594,137,479,755,769,534,717,454,274,795,853,830,261,
682,123,079,077,297,731,366,948,135,921,411,788,647,539,144,400,031,957,365,
352,004,783,854,243,862,098,365,582,855,135,087,614,527,721,010,353,033,104,
043,115,924,990,878,366,617,075,803,756,409,003,105,866,092,382,917,649,449,
078,611,654,410,088,217,551,039,266,319,279,828,148,130,285,455,784,335,461,
283,909,477,055,870,165,180,629,347,467,785,821,074,998,731,180,089,673,979,
551,092,847,007,371,477,318,288,006,859,882,354,407,705,638,586,412,231,000,
597,702,342,827,750,484,610,990,198,201,161,616,506,464,300,135,374,423,871,
259,078,403,906,906,151,278,222,926,950,493,375,062,971,365,078,945,790,409,
222,036,534,101,381,412,144,011,216,668,002,880,574,492,164,078,225,117,141,
480,708,552,960,741,673,882,952,599,374,518,381,773,499,214,745,993,724,525,
300,683,569,691,670,348,437,154,809,180,678,653,172,255,280,095,456,487,913,
656,055,236,410,891,714,830,185,743,050,757,027,927,678,954,482,285,348,977,
874,598,168,341,721,922,164,028,823,008,657,160,617,643,215,761,762,880,132,
863,818,657,311,479,478,169,927,200,391,015,625,851,050,544,748,080,716,090,
121,715,404,367,051,761,799,644,581,932,550,729,504,201,959,109,452,476,348,
996,295,016,156,295,663,488,045,610,654,189,059,868,494,647,718,140,897,504,
602,203,996,415,867,579,801,491,975,779,223,123,815,167,922,148,867,963,066,
281,475,327,109,837,876,560,105,152,918,682,332,333,437,830,502,729,210,327,
346,479,370,308,749,920,632,310,161,603,140,809,813,074,652,220,597,447,777,
668,543,675,814,488,710,432,016,353,908,483,718,528,932,373,965,168,931,174,
372,660,279,922,322,686,857,121,443,917,843,959,831,989,874,150,233,387,410,
290,626,702,930,883,577,340,936,021,919,934,915,696,832,195,836,141,523,168,
560,269,254,559,865,969,492,392,866,510,781,344,826,256,815,050,887,401,631,
581,541,556,363,577,493,420,622,673,529,940,079,440,510,038,045,426,070,063,
715,001,841,355,782,697,430,788,633,753,474,204,281,589,039,011,421,342,889,
680,430,775,848,622,039,168,716,649,607,663,047,822,605,013,272,951,682,900,
018,673,565,549,365,356,916,215,378,186,469,523,695,978,072,213,499,632,035,
513,325,987,630,393,517,157,816,746,016,363,553,275,083,876,136,937,312,495,
249,755,080,479,244,671,314,336,048,479,133,364,828,244,881,453,667,275,870,
497,849,094,333,594,519,378,919,116,445,043,165,809,577,918,637,435,255,163,
636,602,452,830,392,541,198,254,874,255,035,675,002,819,770,433,866,432,423,
167,066,673,726,209,578,290,861,734,632,620,410,587,020,080,313,049,055,768,
299,196,580,983,301,272,025,194,830,385,335,200,025,088,907,590,850,425,304,
983,808,910,421,281,337,985,769,770,791,832,546,577,102,509,665,292,097,100,
787,472,237,668,844,683,203,060,817,750,833,367,097,862,556,610,847,329,386,
278,941,607,639,586,785,965,436,221,606,216,367,779,513,429,724,849,995,781,
077,045,322,020,665,180,516,188,004,618,510,876,863,179,558,786,961,028,115,
582,809,459,679,276,238,418,912,860,578,164,524,398,272,610,933,996,464,465,
469,154,625,274,092,412,039,204,882,324,775,557,866,821,305,165,174,501,639,
379,762,555,874,162,442,415,334,945,441,575,978,367,422,261,355,096,286,118,
953,440,652,286,307,300,165,778,569,466,120,912,250,598,254,195,599,620,016,
587,831,178,080,590,424,113,245,855,124,405,230,439,716,931,229,379,184,195,
688,837,760,838,255,182,800,099,264,563,374,907,004,440,477,640,443,608,190,
679,617,124,677,481,893,605,327,514,903,821,054,475,100,256,356,234,578,088,
123,067,850,264,216,880,367,408,444,038,292,265,114,863,249,806,009,421,616,
814,009,378,428,944,457,060,917,302,449,474,943,839,934,279,410,786,187,185,
099,450,497,043,584,985,134,336,537,352,932,732,257,174,023,929,306,210,590,
638,294,782,112,420,443,111,574,013,216,574,287,441,097,234,227,349,172,632,
860,750,598,815,227,163,858,724,792,980,106,269,542,255,489,453,104,229,674,
036,140,297,477,763,736,096,529,571,934,665,970,208,747,574,738,286,640,318,
106,178,992,760,869,182,771,396,315,756,745,269,198,737,287,729,385,758,493,
375,168,943,457,079,596,730,989,196,821,442,200,560,805,777,870,701,525,109,
806,407,082,566,944,630,700,677,381,080,956,057,241,146,422,527,445,578,132,
680,504,785,982,603,901,193,358,665,503,291,706,298,191,528,781,276,166,598,
966,229,468,173,978,745,696,117,254,165,769,992,655,544,769,140,268,494,909,
253,406,709,935,837,201,449,984,177,407,240,485,162,314,581,608,649,963,780,
398,680,260,392,531,225,755,159,229,698,593,993,907,165,670,936,101,729,645,
907,577,487,986,025,157,443,433,179,152,976,538,591,615,159,185,846,674,683,
950,405,321,462,410,681,780,995,785,358,003,858,876,878,969,182,633,846,258,
330,930,101,281,090,156,093,287,404,456,245,880,155,068,072,827,043,086,419,
853,904,363,055,512,289,479,206,886,801,157,313,048,597,946,474,828,503,137,
009,445,581,710,171,839,695,318,008,572,715,375,131,934,420,104,834,978,377,
341,892,413,885,797,423,738,941,070,649,608,075,505,053,601,842,445,786,204,
019,037,344,223,804,675,614,989,072,791,671,382,704,879,384,567,228,649,275,
084,383,011,824,590,356,065,469,227,423,864,462,474,891,896,372,345,202,511,
983,531,905,466,754,676,968,126,936,069,875,444,493,718,981,925,262,498,897,
732,414,261,787,748,497,465,874,371,378,017,648,533,422,929,590,102,235,549,
696,189,630,085,683,403,368,450,594,481,322,998,960,237,523,848,274,830,412,
346,362,597,736,360,368,696,655,898,379,656,325,883,979,250,078,069,835,033,
739,664,014,391,173,445,972,629,275,743,849,412,571,750,619,665,031,981,888,
181,363,396,346,185,963,114,051,088,621,020,221,158,216,911,987,353,117,194,
063,745,982,535,813,705,302,422,780,545,708,147,679,274,372,791,698,222,751,
371,370,309,512,318,886,677,429,796,197,335,150,181,252,053,974,725,588,812,
377,426,596,488,463,996,722,102,422,137,373,156,425,721,499,583,452,311,285,
300,827,831,126,166,381,373,641,180,241,462,653,088,565,250,092,282,315,046,
779,877,371,699,135,492,247,681,695,247,925,177,400,349,573,471,678,893,609,
643,062,808,701,435,946,347,460,229,915,639,585,553,819,752,446,248,033,627,
304,083,011,709,344,650,721,921,809,729,258,201,575,444,122,746,562,810,610,
568,939,806,968,984,491,131,324,935,338,347,416,812,638,543,420,459,710,797,
944,526,070,788,501,272,986,454,537,822,796,222,509,572,463,227,403,679,626,
548,632,114,453,482,904,919,927,293,502,970,570,963,363,359,296,323,766,259,
893,356,986,853,456,092,082,179,168,951,629,127,146,361,143,956,997,450,496,
548,214,828,001,327,861,338,697,443,851,398,692,352,715,785,386,072,364,743,
067,678,103,307,773,234,083,704,265,952,884,150,386,525,000,559,355,425,703,
876,177,353,442,442,762,280,682,609,596,548,515,794,348,084,974,070,460,941,
802,211,958,545,374,338,603,924,180,571,096,485,035,843,169,247,208,130,696,
558,753,272,392,874,325,167,491,694,508,619,599,327,010,294,955,895,080,511,
124,756,451,772,438,254,127,729,720,626,259,671,226,537,452,178,531,176,943,
184,039,626,445,790,628,378,300,898,074,533,967,593,427,339,744,055,797,413,
278,142,537,101,056,323,280,945,387,656,941,421,191,215,224,032,166,712,095,
444,685,443,826,969,646,758,059,860,563,694,516,648,195,889,768,296,914,558,
370,290,576,769,359,954,113,019,568,215,479,026,049,642,115,250,957,261,350,
439,846,103,338,167,967,754,466,414,303,518,957,204,620,214,157,346,257,364,
316,302,071,094,952,562,406,230,339,875,782,500,218,037,797,653,967,510,136,
554,999,129,710,526,459,586,232,459,458,109,832,909,956,046,481,642,292,327,
435,312,311,612,202,154,013,432,333,955,498,293,889,514,051,110,166,786,676,
608,301,593,111,199,032,084,710,779,863,034,796,089,117,364,738,531,840,114,
086,693,942,152,003,004,057,986,083,341,452,389,194,731,626,082,449,908,296,
825,533,389,471,891,612,332,817,445,998,255,624,528,334,398,366,898,352,572,
830,985,496,061,600,723,141,169,499,025,644,113,842,029,300,578,119,642,925,
585,939,689,658,710,421,679,901,613,501,560,656,536,271,863,073,601,531,647,
998,925,826,124,747,106,041,790,332,861,350,573,390,375,804,067,321,540,148,
878,021,373,554,292,292,099,897,878,817,553,905,738,526,819,799,821,283,475,
857,290,632,879,115,647,184,089,719,086,516,353,665,973,306,070,547,213,151,
837,111,955,660,518,043,096,899,854,824,341,773,607,429,687,299,078,004,374,
219,700,668,253,726,178,910,359,662,394,167,427,114,146,255,512,351,736,317,
914,276,366,297,259,859,053,691,342,812,277,771,395,441,294,098,139,171,271,
629,287,869,695,923,110,167,264,036,166,892,152,776,040,005,369,960,013,034,
049,411,370,852,201,832,417,059,061,780,649,324,177,387,189,137,698,870,860,
862,299,253,216,756,390,541,665,104,525,884,541,129,274,524,351,870,780,201,
294,792,984,100,658,117,057,740,861,017,317,431,038,557,817,838,585,557,237,
275,591,100,770,381,570,688,321,796,900,825,473,781,425,622,587,953,402,991,
479,181,409,602,772,912,190,778,058,377,840,682,430,473,030,222,608,152,635,
654,587,622,225,680,185,485,968,002,595,858,075,300,628,411,771,335,427,606,
550,659,375,630,045,412,311,381,754,600,906,614,762,213,873,721,745,832,408,
087,634,559,580,879,966,913,812,282,585,747,233,134,688,972,173,748,723,488,
884,323,638,497,287,177,827,520,025,664,825,760,792,790,319,546,726,166,930,
533,163,435,022,884,188,009,046,424,495,467,904,254,493,736,500,727,386,121,
132,698,162,579,874,286,175,327,295,509,043,913,841,246,289,594,239,087,156,
027,191,445,661,928,515,210,359,967,453,158,038,356,333,850,206,437,683,897,
282,223,784,402,649,133,249,411,850,236,925,115,782,022,106,141,022,676,715,
909,895,107,476,415,284,790,913,402,387,421,678,009,918,489,828,125,394,006,
938,367,599,681,148,242,941,435,165,759,883,689,517,376,506,564,059,326,691,
299,177,028,511,795,073,480,387,807,827,091,780,662,233,402,384,824,796,640,
856,218,532,994,011,577,125,925,943,653,391,367,141,596,978,279,329,948,713,
756,318,703,297,634,080,697,859,117,543,756,925,007,144,553,430,290,714,903,
545,733,847,713,867,056,198,862,967,343,225,234,945,856,011,571,506,556,100,
408,246,751,517,780,602,402,617,225,368,642,727,893,204,013,051,532,986,117,
243,866,505,279,645,303,224,520,486,104,614,422,967,419,192,704,186,436,778,
314,631,020,407,207,200,105,894,464,788,110,027,853,170,888,159,076,319,281,
166,095,486,945,713,199,789,403,313,462,253,595,327,596,464,445,876,083,312,
798,307,517,770,499,913,245,242,551,195,043,810,299,434,986,634,001,819,323,
073,980,259,834,355,039,144,986,922,244,691,607,993,620,503,928,826,143,449,
421,879,862,349,115,649,364,418,568,979,922,464,723,804,609,198,052,131,824,
415,451,962,447,106,263,323,270,102,188,271,605,165,878,917,051,087,994,686,
467,655,732,922,999,541,819,409,600,607,329,359,951,199,621,549,673,507,172,
147,096,179,833,556,065,309,509,532,435,183,314,661,094,276,870,567,728,464,
115,660,769,706,175,593,219,478,107,663,050,933,167,082,943,494,049,144,988,
053,263,147,060,659,670,392,813,499,607,106,081,883,283,453,286,545,028,589,
718,787,648,834,851,607,330,918,738,389,602,060,929,314,467,875,098,090,185,
471,957,742,603,923,538,124,150,112,894,778,279,539,459,241,821,203,931,681,
518,298,447,774,996,720,208,319,044,163,660,354,468,198,219,047,425,578,398,
825,849,264,592,478,474,467,658,937,488,631,164,846,979,876,597,176,601,471,
793,766,349,591,110,211,212,958,567,503,021,223,816,870,683,506,855,101,956,
866,277,358,284,659,169,728,959,957,606,357,333,278,111,638,264,056,230,851,
370,265,783,637,698,031,923,044,757,918,549,643,386,249,729,509,596,602,507,
669,359,797,920,003,724,878,454,560,226,934,024,472,791,905,319,220,986,237,
805,955,782,306,593,749,098,215,769,218,436,464,522,138,302,184,606,440,535,
087,018,875,158,133,749,500,240,420,255,431,430,309,516,096,960,681,541,719,
593,838,414,210,910,375,590,652,368,651,941,510,735,266,050,517,499,893,351,
105,246,924,537,661,542,209,361,171,662,574,758,616,474,695,216,230,400,906,
823,784,176,661,163,506,768,030,098,184,241,385,111,244,495,821,537,709,993,
671,378,645,947,515,624,630,184,251,263,505,233,353,528,893,301,895,890,422,
169,425,054,008,802,510,559,037,660,060,630,483,065,478,114,556,182,530,266,
488,749,559,729,626,880,517,087,916,598,567,018,999,096,799,737,876,958,797,
954,795,351,297,714,397,980,361,266,144,968,018,611,736,473,877,325,003,260,
547,500,923,969,724,758,112,116,666,324,426,828,677,479,018,734,785,674,269,
483,560,566,831,835,417,792,009,845,998,957,184,883,754,873,148,333,693,735,
852,018,494,289,047,676,132,468,958,448,810,724,281,031,571,035,715,028,116,
022,640,141,428,687,829,426,126,070,130,930,761,109,977,280,315,485,044,785,
732,959,314,558,445,783,487,856,306,480,375,175,113,101,917,370,017,780,625,
502,305,094,601,718,119,942,674,109,278,018,413,623,388,117,152,507,272,803,
301,760,139,285,496,730,905,323,605,922,552,050,774,846,303,418,392,692,291,
578,385,537,675,616,298,730,731,802,616,972,055,996,419,757,371,657,370,417,
043,594,954,129,980,634,371,990,373,299,751,701,038,527,153,942,511,255,543,
470,597,400,694,441,203,170,020,249,856,657,681,986,752,424,484,441,254,098,
124,731,913,410,216,216,796,818,917,767,800,395,044,412,013,019,633,928,955,
992,678,797,502,663,001,797,387,657,893,360,894,267,453,251,559,628,487,475,
674,672,920,935,028,632,497,756,755,380,599,018,203,969,103,307,378,904,235,
312,996,831,773,792,942,555,916,598,135,250,589,871,044,442,273,377,135,703,
308,719,966,400,904,438,951,798,452,747,004,143,815,769,304,019,073,148,264,
106,924,718,474,986,202,162,199,247,261,894,080,698,615,480,353,329,234,910,
125,585,880,006,074,030,473,506,029,451,597,587,394,416,016,321,003,188,196,
545,191,432,749,579,497,186,468,060,628,693,380,903,712,106,077,360,153,932,
880,558,013,747,143,339,097,025,897,209,162,033,546,743,500,572,822,903,576,
946,670,366,018,699,369,912,011,244,341,539,765,629,423,580,868,167,352,538,
714,949,427,547,918,494,053,898,351,969,244,220,316,802,163,549,799,375,828,
976,634,964,011,433,305,655,668,075,432,090,608,379,415,699,594,013,862,142,
582,877,621,100,957,304,380,632,649,876,010,922,306,969,417,176,267,959,397,
858,235,903,272,504,092,800,918,016,818,377,246,535,863,695,496,867,714,932,
968,700,638,204,564,727,452,347,643,513,228,127,206,272,852,738,708,290,488,
762,705,077,392,610,838,267,485,129,792,005,798,727,831,656,271,380,731,958,
783,756,279,203,255,752,833,919,940,189,354,366,970,266,824,922,591,298,793,
354,353,042,221,619,738,110,170,706,041,451,617,335,575,237,747,647,921,194,
436,224,713,317,248,794,082,183,058,062,885,761,430,382,081,888,417,451,413,
760,440,797,937,857,528,770,171,697,402,978,711,488,166,238,712,085,858,439,
931,576,640,776,094,808,214,039,316,404,905,502,790,390,002,311,788,808,548,
178,939,478,607,400,559,566,092,984,426,011,394,350,442,723,509,816,768,549,
940,346,534,438,290,312,648,109,002,766,420,977,436,927,829,899,349,932,707,
872,200,481,850,535,049,604,762,592,594,768,545,935,110,721,166,965,293,532,
718,547,898,010,535,953,137,519,112,965,189,913,242,115,979,847,731,108,015,
559,711,976,877,644,504,989,123,691,640,507,464,794,458,852,194,826,532,000,
086,977,938,876,580,092,340,332,926,453,999,970,755,680,286,502,315,425,225,
518,726,050,130,148,469,187,546,902,826,117,077,037,742,525,517,756,988,240,
818,372,038,911,286,759,946,599,638,117,869,390,682,470,216,934,787,550,758,
370,184,607,020,502,918,363,978,238,530,442,545,565,249,272,922,886,128,747,
283,694,349,732,663,555,263,305,327,380,058,562,347,771,641,005,198,954,836,
657,792,692,833,353,174,595,183,337,268,187,589,897,034,872,449,585,057,437,
851,079,852,223,314,410,985,953,103,668,484,025,787,241,228,201,347,933,256,
020,499,731,214,949,488,787,910,737,011,105,985,131,595,641,248,787,172,984,
751,370,084,118,307,221,980,522,084,181,019,985,555,342,785,495,809,516,051,
560,182,493,594,157,057,687,123,839,297,668,093,711,083,409,748,025,659,248,
933,659,040,473,854,726,942,132,395,204,312,736,432,187,835,285,485,921,064,
683,454,296,735,868,232,126,812,773,409,350,480,627,118,014,972,450,984,382,
662,874,565,968,848,143,054,204,273,446,373,891,900,584,130,132,392,331,444,
146,443,946,311,279,732,368,248,131,135,299,935,178,949,864,011,129,190,197,
371,311,440,782,480,458,633,677,113,254,984,705,390,181,371,834,338,950,265,
420,743,490,344,018,090,584,645,500,427,742,010,081,747,730,489,191,461,923,
961,220,593,065,484,448,126,119,179,626,291,088,274,623,127,927,300,397,008,
600,105,718,519,321,215,304,188,743,374,881,981,915,578,519,897,590,532,009,
292,431,781,716,867,141,556,688,654,862,755,508,699,930,212,766,600,825,696,
845,782,422,673,228,015,719,602,544,243,994,033,529,214,366,824,003,672,397,
100,637,607,356,180,377,496,588,201,418,066,063,848,642,131,202,855,074,327,
140,560,756,719,799,375,213,001,157,902,968,470,125,444,424,716,307,844,348,
093,737,884,792,420,598,500,201,192,603,235,213,446,716,456,120,756,153,537,
853,101,527,783,338,003,523,908,608,988,687,249,063,286,938,337,713,838,650,
773,553,753,023,250,876,535,637,499,347,781,313,769,890,259,796,394,600,917,
241,741,458,634,865,266,678,844,155,031,314,808,748,102,356,596,343,853,197,
639,828,208,357,330,659,941,637,484,988,027,641,846,012,437,084,258,627,662,
960,042,716,856,835,519,132,302,803,641,417,073,574,588,737,969,314,475,769,
761,562,832,235,361,826,977,251,059,968,216,516,762,024,567,691,773,389,715,
594,649,237,582,989,791,394,148,092,960,958,130,916,295,263,075,074,402,597,
568,689,189,188,043,226,995,924,213,403,006,406,215,208,637,635,669,106,734,
032,368,600,409,167,930,823,925,937,525,984,099,307,820,113,800,367,334,930,
769,302,389,063,509,432,553,825,599,513,952,590,217,189,581,812,409,101,321,
734,728,821,441,859,952,930,196,585,251,387,359,197,068,808,210,368,780,792,
437,802,583,543,253,066,645,809,364,075,990,128,033,077,916,149,365,469,877,
592,721,003,788,711,404,906,828,068,615,931,132,102,297,737,266,691,946,463,
896,133,357,516,518,319,623,089,513,348,697,681,976,687,536,140,504,789,542,
489,939,810,032,248,108,278,937,688,257,967,212,970,316,840,731,590,969,127,
854,694,822,274,203,100,750,546,468,857,465,750,305,510,696,782,607,642,856,
814,028,510,514,974,749,891,803,956,607,725,860,055,482,009,737,942,754,844,
287,298,247,507,036,233,347,178,805,104,158,389,454,448,683,662,097,448,600,
979,572,462,337,989,365,742,918,623,556,320,599,631,630,653,984,885,569,662,
390,143,311,188,526,805,004,598,521,995,521,462,364,767,791,188,113,699,790,
954,082,915,411,185,986,138,352,607,260,371,793,154,944,816,975,558,165,133,
880,108,425,631,228,248,030,293,984,918,174,564,535,805,466,626,616,476,711,
835,427,067,504,392,570,989,289,518,709,636,134,560,576,406,909,859,372,188,
212,245,655,521,903,650,161,561,198,676,958,610,272,252,451,320,621,346,098,
124,659,788,229,382,306,205,609,424,850,609,547,189,156,981,897,557,655,366,
512,614,688,184,301,097,944,454,938,874,485,508,532,907,587,143,249,402,793,
549,176,218,983,382,961,596,050,840,946,973,635,456,596,269,585,211,509,300,
263,333,147,824,977,043,292,156,680,121,605,282,795,574,912,754,134,657,378,
985,770,155,412,481,691,615,925,780,979,551,468,366,482,323,463,692,929,022,
491,611,307,955,319,718,521,016,796,328,592,822,361,323,688,227,365,667,105,
815,379,159,827,546,847,228,360,655,042,528,342,052,810,763,314,275,999,105,
401,853,918,564,080,087,657,769,261,589,031,634,815,339,157,979,926,407,088,
654,408,868,661,838,522,133,997,805,580,353,566,461,755,385,914,536,805,329,
115,541,682,630,400,577,046,063,612,970,740,861,886,133,940,095,400,474,352,
535,875,081,995,131,548,201,322,297,193,317,925,302,817,401,877,431,906,650,
090,527,242,417,570,488,752,666,016,278,705,866,486,232,165,646,203,150,399,
010,716,499,210,505,505,680,948,118,086,841,022,860,536,895,923,622,152,470,
275,270,051,599,336,746,655,163,940,826,015,680,350,845,058,660,784,694,976,
059,453,318,580,596,101,490,883,402,099,776,034,200,075,750,385,851,448,941,
262,416,970,155,430,890,056,059,272,240,831,019,933,178,872,077,923,264,523,
896,813,056,506,682,774,585,047,497,158,038,226,997,181,098,330,599,429,999,
416,735,274,870,773,728,070,831,607,288,437,849,459,353,883,414,640,286,987,
985,284,032,754,148,125,730,335,573,307,866,578,254,444,270,363,316,891,106,
851,753,700,757,121,586,219,542,006,388,760,188,940,346,986,061,893,226,012,
097,582,123,189,311,031,913,380,544,062,507,332,494,401,513,998,862,665,068,
737,270,587,028,077,538,240,459,602,137,697,643,936,878,631,745,983,560,102,
106,679,436,868,087,833,737,378,010,585,756,591,331,421,817,121,579,929,225,
470,378,057,844,774,004,631,695,941,656,301,566,957,546,437,538,613,959,415,
283,370,140,890,152,655,900,558,753,274,793,889,386,058,865,817,716,084,101,
012,113,778,545,500,155,098,243,306,965,808,471,728,378,759,166,840,713,157,
639,559,285,186,389,838,271,166,231,771,029,272,492,287,647,746,565,919,742,
311,395,330,300,714,177,584,660,431,490,006,234,237,418,291,285,085,859,827,
652,988,922,223,935,470,749,433,696,885,252,466,867,195,955,028,853,385,721,
418,881,280,879,742,613,687,049,983,831,130,493,322,247,101,440,450,796,993,
444,037,706,009,480,325,181,825,647,743,699,518,911,272,153,906,831,951,889,
984,431,834,004,604,243,873,065,664,689,783,724,614,628,891,957,346,242,967,
857,775,826,644,143,664,933,860,233,282,528,962,681,312,515,725,923,257,717,
251,510,583,095,659,113,650,472,423,233,191,242,295,714,773,817,750,070,905,
551,919,017,293,519,508,522,933,927,002,791,076,324,983,001,476,490,189,573,
323,494,676,867,885,232,502,984,830,746,255,482,783,238,540,019,223,509,746,
497,058,396,038,935,674,562,179,396,891,068,657,668,663,469,422,741,276,112,
927,091,664,854,759,256,002,206,557,612,479,218,380,863,981,295,813,854,604,
754,756,837,623,964,962,504,901,532,715,528,463,834,657,994,276,189,762,754,
979,540,219,628,944,527,864,986,761,951,811,720,420,678,208,696,072,091,403,
190,350,080,378,811,569,087,130,221,009,448,938,097,607,972,182,401,010,028,
995,600,897,315,480,933,850,059,480,990,007,019,511,102,740,702,936,074,357,
896,325,228,498,432,383,602,950,026,710,292,152,324,769,797,253,251,841,949,
431,559,642,345,170,913,649,761,500,728,045,199,656,578,530,742,227,297,487,
243,445,613,607,306,305,311,041,669,604,979,998,004,227,459,491,711,426,010,
577,167,530,583,133,873,868,898,749,494,090,389,811,145,139,907,267,453,977,
915,818,150,687,435,601,411,296,321,639,653,379,567,442,289,781,054,199,285,
348,940,802,498,951,804,703,736,585,915,396,846,314,700,162,752,031,755,027,
536,591,772,717,878,299,355,664,951,704,421,697,000,965,134,628,461,752,867,
906,302,321,266,964,734,663,755,114,074,204,126,872,274,411,270,576,206,833,
817,910,241,543,382,606,636,996,522,623,861,467,438,431,982,526,479,131,642,
050,946,764,820,667,284,569,277,565,624,841,718,833,540,571,949,687,311,117,
659,775,788,711,152,967,866,770,593,804,194,617,716,219,450,615,735,271,121,
363,376,832,369,499,852,486,540,867,652,989,666,743,518,108,404,297,443,083,
809,793,249,630,576,569,037,431,537,948,238,374,798,123,987,537,846,642,214,
412,125,186,417,116,341,443,845,777,809,609,805,950,304,415,611,096,202,373,
223,874,253,021,819,148,927,193,025,920,278,299,912,034,751,342,665,021,829,
666,962,036,984,606,648,644,356,809,110,305,602,136,877,151,603,250,949,690,
908,851,666,495,561,800,308,489,665,613,905,487,587,202,925,456,661,301,494,
101,367,724,870,161,343,561,266,040,204,861,749,503,710,013,346,864,135,915,
066,593,427,805,971,657,858,741,674,834,579,131,085,142,300,604,189,209,190,
921,817,334,895,330,702,251,953,170,188,357,764,844,502,025,022,689,475,864,
852,390,633,878,114,450,045,107,956,446,240,690,965,925,785,253,787,913,711,
647,080,966,950,914,695,832,908,697,009,026,441,179,103,789,094,617,792,888,
242,680,987,053,676,860,372,023,575,240,753,114,216,080,074,887,873,152,524,
045,269,332,224,172,551,253,591,362,080,743,823,538,202,770,494,123,618,348,
166,778,001,440,344,364,125,170,789,215,863,022,137,517,687,311,961,317,424,
606,086,226,240,922,661,495,627,547,127,517,762,057,368,046,727,302,973,565,
072,352,539,694,104,179,670,790,859,873,229,063,515,831,176,771,091,034,523,
095,566,432,219,775,009,957,339,010,576,194,308,368,398,337,394,231,925,471,
377,801,900,876,489,528,959,916,212,270,840,088,673,643,524,849,946,207,859,
047,897,405,262,021,941,780,100,301,337,441,799,943,710,620,918,526,934,964,
453,669,443,778,335,819,253,372,348,438,992,349,009,517,979,135,236,619,146,
455,589,558,619,056,817,322,735,009,200,920,811,614,611,684,293,069,299,252,
184,684,636,093,295,992,905,654,988,918,217,751,552,318,106,329,336,044,440,
022,522,796,246,930,311,413,133,754,860,281,515,946,729,916,003,865,603,770,
672,242,152,043,797,668,268,639,126,561,044,776,916,851,607,844,250,546,752,
840,950,508,318,045,496,101,687,591,821,000,548,193,660,788,811,192,670,552,
866,552,457,072,657,443,634,544,357,610,234,368,300,916,255,582,732,020,412,
860,038,377,502,372,740,248,092,532,272,321,802,712,056,942,162,800,587,926,
097,433,514,660,364,917,368,268,495,786,794,872,243,485,335,856,429,386,375,
690,907,253,134,808,374,570,440,130,908,752,399,288,958,867,220,230,729,014,
098,351,182,457,311,729,826,662,767,544,787,133,185,422,797,809,283,385,530,
813,683,341,502,452,646,641,793,568,949,489,575,661,265,196,023,029,838,485,
993,151,387,829,029,050,680,472,510,129,048,529,958,376,848,560,657,937,040,
540,170,647,572,767,513,582,408,202,140,536,764,596,739,381,049,001,684,304,
627,850,514,756,751,835,636,482,665,803,036,078,049,265,013,399,357,173,642,
249,248,252,385,794,780,883,228,310,638,357,966,792,341,254,199,626,385,373,
615,917,606,126,980,845,274,476,695,988,881,475,993,017,691,632,182,134,312,
598,307,743,638,400,906,255,425,490,438,457,861,778,002,411,026,478,201,286,
898,132,594,057,989,579,570,380,217,135,016,041,492,581,037,442,169,808,274,
859,580,487,650,544,690,325,309,828,889,613,760,483,136,114,164,648,919,469,
789,776,860,936,277,262,064,181,604,410,013,579,115,289,160,091,272,173,870,
919,003,533,943,062,582,946,599,430,665,024,424,899,843,884,973,053,342,255,
527,141,922,727,445,453,020,099,695,030,479,467,068,601,381,460,210,492,243,
248,894,952,849,827,720,774,141,765,666,080,431,959,318,351,647,938,531,513,
289,582,753,509,217,652,460,768,030,843,014,195,308,524,101,673,519,594,184,
227,215,000,737,179,886,335,220,250,933,221,937,089,965,496,321,204,228,121,
964,308,428,909,796,199,113,181,765,926,034,820,542,221,713,616,278,144,972,
628,194,379,952,765,556,975,635,940,738,842,448,697,068,530,103,721,273,920,
838,044,810,749,259,645,777,012,722,745,791,073,572,583,570,537,146,259,409,
591,241,485,994,820,997,010,168,792,122,611,547,199,126,046,682,238,393,051,
155,320,108,265,259,561,353,443,756,466,397,743,851,176,202,808,566,257,752,
763,967,546,155,018,335,073,209,920,671,900,779,307,701,489,349,400,926,878,
029,897,164,188,012,601,052,666,110,666,013,564,446,756,763,834,775,569,149,
803,269,443,563,400,589,901,795,929,158,011,660,838,449,491,465,539,383,693,
679,833,809,833,244,759,749,601,555,452,664,690,989,119,024,406,701,581,777,
699,330,465,149,604,105,354,330,288,436,233,605,564,119,022,998,388,735,099,
955,944,561,293,664,658,567,894,554,966,345,269,863,540,722,863,174,157,146,
406,441,149,711,034,783,540,598,225,463,260,853,722,055,951,599,819,502,388,
632,885,161,338,165,152,899,875,049,966,382,273,599,710,807,443,900,226,589,
832,244,605,132,104,416,070,595,336,306,028,915,233,652,900,201,859,824,089,
077,247,881,162,409,626,231,696,740,502,840,724,026,387,309,420,810,621,930,
538,373,475,763,467,153,317,131,089,391,855,570,452,288,593,649,835,790,055,
716,285,550,348,825,159,582,167,035,299,792,358,212,908,768,959,849,959,764,
164,115,219,050,891,129,194,385,353,314,433,721,580,737,177,625,338,719,482,
823,398,826,533,582,634,589,233,057,670,842,102,043,322,530,359,573,358,626,
481,812,721,055,942,715,800,369,113,915,031,223,527,615,151,690,676,635,740,
942,071,702,015,182,045,425,806,667,817,932,900,458,504,231,690,897,032,608,
728,583,938,916,611,946,316,297,261,190,317,651,361,099,141,359,507,055,893,
526,203,475,853,514,874,664,096,580,224,888,147,844,053,130,278,852,118,826,
609,603,249,744,477,394,708,948,331,647,355,962,718,357,713,483,146,637,095,
729,431,536,534,157,431,092,229,050,851,587,270,478,626,789,138,720,959,440,
929,495,583,830,410,960,355,707,527,174,726,963,201,841,821,478,424,542,193,
635,400,267,867,174,913,097,826,066,139,056,191,879,022,340,778,179,957,894,
255,315,450,636,434,074,284,216,462,034,909,262,738,641,940,724,770,778,444,
892,165,003,186,042,646,247,594,776,488,322,644,822,693,814,221,640,465,998,
654,778,368,110,182,733,400,840,750,978,215,841,741,981,167,719,838,235,475,
950,817,186,420,844,700,703,031,749,672,685,862,654,118,340,295,473,113,778,
174,050,441,769,544,310,712,855,726,003,569,699,766,186,548,734,606,138,582,
884,353,993,051,009,956,577,037,874,211,655,919,249,658,828,802,464,968,715,
892,928,068,668,918,035,075,603,320,284,266,005,742,537,191,186,526,826,313,
059,786,081,604,151,616,909,385,043,816,051,466,708,032,605,934,103,348,281,
148,753,231,085,501,773,192,764,603,400,287,824,954,164,668,614,150,043,377,
054,405,886,466,064,093,851,561,931,650,898,221,511,632,744,327,251,691,586,
794,682,877,947,457,072,489,021,565,271,786,864,964,638,246,091,051,006,370,
786,333,696,271,971,074,076,089,837,685,782,106,916,206,886,311,841,300,006,
297,878,184,086,136,752,488,837,118,616,341,879,812,014,625,628,849,290,860,
681,505,060,035,111,442,134,234,224,473,325,347,684,428,308,719,274,295,977,
463,659,859,369,962,360,580,547,385,992,608,574,736,980,594,681,383,613,656,
125,134,947,926,138,977,062,498,389,092,469,471,523,187,192,265,486,805,626,
594,411,626,392,607,975,030,226,073,863,047,541,536,552,505,550,444,367,952,
339,751,232,710,393,031,209,050,981,624,367,531,781,243,138,920,558,630,413,
468,602,419,118,963,874,353,435,003,206,701,723,722,992,108,203,715,726,853,
684,641,812,300,285,569,814,641,113,651,732,216,250,868,470,680,678,300,492,
874,929,010,380,739,775,335,161,953,031,069,281,679,716,783,916,186,467,470,
422,457,594,930,075,879,370,554,559,362,278,360,033,697,335,535,825,270,059,
090,938,557,200,069,204,884,902,904,536,686,977,911,029,853,590,547,183,671,
199,073,278,568,697,709,374,855,874,543,468,045,411,415,805,191,628,120,782,
721,104,447,804,205,101,241,691,631,785,524,372,264,757,784,782,367,113,549,
152,799,398,355,767,337,215,692,889,261,609,541,621,895,414,367,072,656,359,
893,257,757,014,911,641,846,696,875,364,956,775,786,760,310,271,347,785,591,
337,587,481,315,244,988,996,331,526,525,586,855,970,775,141,807,839,346,574,
215,656,914,374,961,843,011,432,711,111,254,590,482,429,332,822,548,669,757,
766,241,314,883,848,073,311,075,215,818,289,839,436,826,594,136,269,939,287,
931,228,702,786,866,022,373,705,220,263,442,917,287,461,780,373,841,400,176,
558,516,283,117,641,015,357,444,246,589,930,666,608,209,745,303,903,868,363,
458,190,202,280,587,899,473,510,986,592,108,353,814,124,096,686,430,128,135,
012,214,200,939,270,672,899,270,983,805,427,546,943,340,342,522,526,672,765,
896,644,288,519,942,661,353,919,141,489,938,420,113,942,170,004,479,430,279,
751,331,677,052,967,882,057,002,889,024,239,365,886,450,491,164,945,654,498,
403,935,723,377,234,619,013,994,400,848,353,228,875,252,826,953,642,073,455,
405,824,622,580,878,568,793,847,353,381,048,552,160,620,009,522,520,989,708,
782,328,795,369,158,546,707,268,616,970,662,586,101,522,977,976,806,664,773,
376,532,334,892,471,326,553,683,980,341,744,151,042,950,008,718,316,317,849,
325,939,192,400,557,871,847,859,532,138,502,094,099,596,960,162,036,083,362,
827,285,024,895,016,458,875,466,657,468,954,311,873,336,423,033,245,717,859,
657,563,404,128,981,367,397,042,842,012,149,655,396,075,031,379,520,801,898,
675,916,328,130,150,956,250,576,487,414,518,581,896,720,388,962,504,781,685,
434,332,086,856,210,249,442,574,602,526,036,932,069,338,819,079,807,383,630,
550,038,325,449,305,859,118,287,220,781,669,066,689,714,323,726,605,129,260,
284,465,126,559,880,220,898,855,071,348,865,047,427,076,696,127,198,885,733,
276,789,397,416,516,167,444,544,537,728,860,752,354,945,181,352,456,938,972,
901,287,871,836,587,824,906,062,792,467,920,310,831,459,302,530,775,528,546,
390,709,230,436,147,704,487,079,229,878,222,697,771,119,494,304,881,598,764,
653,349,855,452,716,644,179,196,531,403,393,770,761,839,435,881,331,928,500,
220,452,863,245,048,606,137,410,312,409,526,145,930,786,784,490,268,976,534,
219,653,927,993,639,296,114,769,766,629,646,850,736,634,479,912,846,984,018,
700,290,220,177,829,511,925,608,270,230,484,253,479,798,414,319,338,102,445,
858,292,214,961,583,208,856,037,550,879,690,646,716,689,214,458,663,318,983,
861,000,345,642,474,609,798,714,162,283,992,316,387,489,661,992,987,811,117,
783,791,761,630,563,117,758,313,180,652,219,369,445,716,159,803,816,064,756,
767,941,937,510,887,067,859,018,453,386,166,643,175,456,065,431,900,649,981,
044,327,276,382,469,290,983,537,486,800,345,560,109,781,011,349,108,047,647,
291,259,667,894,739,499,166,741,008,007,853,849,496,059,372,177,618,436,884,
836,151,675,566,547,630,269,139,308,056,930,156,628,426,969,054,706,747,049,
598,141,930,294,218,144,581,534,995,046,937,773,676,929,526,605,769,886,694,
684,117,969,134,644,468,432,368,128,267,833,242,233,848,878,026,951,676,639,
741,595,971,759,236,998,955,815,495,094,692,157,707,672,380,465,467,072,985,
324,336,131,567,501,401,604,361,984,100,766,741,238,894,418,598,230,307,350,
860,248,716,112,251,907,876,458,115,807,814,984,638,793,686,100,646,708,850,
116,940,903,288,530,137,615,502,586,160,674,187,784,681,458,723,545,088,165,
281,070,309,377,717,497,729,542,059,492,985,005,010,887,262,136,407,368,341,
223,011,642,837,825,106,488,003,321,686,193,133,522,555,599,887,404,873,160,
523,713,196,578,240,362,749,135,759,554,151,592,572,274,460,481,471,231,351,
443,883,624,324,619,602,085,862,769,886,796,165,680,092,602,613,156,470,841,
988,579,091,132,018,088,587,720,657,406,416,560,195,182,771,462,838,152,921,
474,468,161,932,115,009,668,733,114,313,257,973,238,583,896,948,301,570,232,
889,474,218,053,085,276,874,901,152,087,376,183,926,104,034,107,851,079,899,
324,518,113,689,436,950,472,818,563,631,627,376,127,480,040,093,823,257,323,
580,008,976,783,191,457,519,092,985,188,581,776,854,462,946,702,714,502,408,
896,341,672,975,094,656,825,005,590,615,077,048,213,931,685,427,893,039,108,
138,184,604,915,457,417,147,764,212,704,214,802,685,133,868,505,530,368,584,
769,075,566,932,542,339,354,331,881,795,769,773,528,852,903,364,464,245,410,
935,400,819,994,839,244,474,308,381,059,739,569,830,185,391,162,163,356,321,
203,724,310,159,227,329,541,673,937,853,854,064,319,110,122,676,272,277,528,
069,509,701,561,377,342,846,788,694,375,317,518,538,629,345,884,789,805,207,
654,946,063,498,689,504,026,517,098,112,701,050,580,765,281,183,164,651,639,
198,109,729,612,137,430,237,246,500,766,969,345,876,010,419,625,131,586,499,
479,459,288,528,408,052,626,753,730,732,182,299,130,685,008,608,395,770,533,
113,740,047,066,744,411,602,156,542,650,812,559,369,637,172,772,306,272,227,
544,698,079,086,800,366,824,356,342,437,171,095,669,129,588,454,620,315,329,
455,396,407,199,586,065,600,877,036,017,824,973,441,485,528,528,603,361,698,
488,255,711,028,434,356,071,131,010,454,342,536,731,162,999,274,185,237,777,
103,577,941,435,990,336,302,052,597,268,090,560,749,653,620,210,183,768,765,
618,963,787,238,629,679,870,548,740,221,946,707,458,209,046,091,146,734,155,
385,037,407,382,520,583,569,540,455,773,762,758,973,577,140,055,937,578,692,
777,642,114,840,103,127,188,628,326,762,654,433,477,665,885,965,152,125,790,
417,153,931,413,398,698,410,140,633,347,688,442,262,365,436,460,187,922,053,
130,400,108,107,727,576,934,783,669,461,778,839,521,411,509,484,024,004,486,
988,817,490,886,604,685,196,818,357,600,393,050,170,739,990,479,668,284,929,
270,584,817,648,022,569,135,995,592,054,217,878,218,105,250,227,622,219,554,
595,182,773,895,272,692,768,884,616,128,956,035,979,990,534,031,760,649,837,
739,471,821,659,962,710,709,295,689,503,944,886,046,085,985,519,552,796,735,
411,441,497,171,121,576,514,692,405,243,339,855,435,358,791,647,177,504,101,
472,574,438,888,184,151,017,802,039,562,084,725,721,085,429,222,479,619,705,
652,402,681,799,590,541,470,653,443,977,718,581,574,853,230,963,257,375,003,
562,878,960,141,866,301,946,486,073,428,901,220,286,140,073,844,349,662,226,
806,296,736,098,955,242,080,065,363,435,292,032,701,167,579,135,430,709,654,
321,474,634,234,106,755,328,560,510,214,219,398,990,066,368,301,460,228,205,
530,221,251,425,549,561,796,860,169,765,074,209,853,113,594,183,133,381,423,
227,522,443,614,486,242,207,096,139,133,564,694,036,156,174,761,966,844,738,
321,949,867,166,360,991,911,910,628,761,109,890,121,813,257,376,446,753,540,
012,714,059,191,713,423,403,272,015,497,743,882,321,322,495,299,505,454,415,
360,940,021,830,422,635,907,586,529,830,672,801,652,952,898,766,644,367,263,
283,443,116,463,261,281,242,163,458,538,301,766,821,723,582,980,314,918,612,
859,102,144,637,290,450,180,634,921,609,796,726,296,287,797,868,680,365,401,
892,506,253,205,560,103,489,614,474,459,015,832,302,004,988,232,957,134,899,
291,027,858,445,128,448,469,562,329,119,194,280,474,583,050,627,483,764,662,
072,915,838,302,942,384,355,220,348,613,065,618,461,035,014,707,097,645,774,
945,645,431,250,674,639,113,968,703,367,057,259,686,602,648,642,691,284,499,
980,508,886,674,351,345,566,560,763,906,350,058,625,595,011,504,966,685,752,
398,390,446,793,415,891,376,097,272,286,439,407,730,856,238,487,426,849,066,
106,909,182,776,258,039,295,583,899,238,497,504,576,397,644,422,228,157,567,
233,604,152,781,316,798,534,475,797,198,619,682,144,608,992,612,704,579,369,
012,543,445,044,809,407,607,954,011,268,018,970,327,467,385,398,029,254,585,
128,840,875,905,737,858,856,769,408,981,031,327,960,959,262,978,323,562,491,
798,678,897,153,827,813,339,922,093,610,598,248,821,521,346,679,765,231,236,
047,567,261,574,905,100,534,420,927,903,644,450,326,375,102,047,049,589,946,
667,608,887,310,972,385,178,502,165,916,578,005,427,034,486,594,600,673,612,
850,412,267,269,786,638,433,657,919,315,999,531,080,000,558,040,615,246,509,
576,588,498,840,667,037,026,218,868,540,205,182,332,881,462,443,055,817,771,
492,994,434,439,319,170,256,798,058,761,134,581,500,913,168,192,757,462,703,
841,802,291,379,464,262,164,131,600,865,273,819,872,784,644,570,685,759,501,
282,848,625,349,709,869,778,013,293,219,106,446,391,600,763,091,486,959,093,
498,472,500,913,804,478,419,330,444,590,922,168,877,110,355,747,341,098,617,
862,545,611,790,499,761,090,373,553,030,978,314,692,939,529,186,735,532,474,
155,423,150,117,838,432,224,829,679,448,106,593,820,827,602,588,556,308,140,
895,867,399,316,472,438,061,838,331,509,784,750,440,101,471,275,323,038,477,
393,434,110,837,808,079,744,273,575,795,196,360,737,255,675,698,386,429,702,
372,011,795,893,844,695,487,417,126,063,597,877,683,521,504,327,263,063,014,
142,720,631,772,231,716,020,200,883,657,399,011,734,754,317,193,893,322,988,
666,699,753,102,403,298,182,270,690,287,666,585,171,483,554,362,505,903,792,
691,278,078,954,701,427,177,349,355,483,772,920,428,169,799,222,236,142,258,
172,426,757,818,307,376,867,260,651,476,013,470,224,215,610,850,276,147,777,
436,923,670,646,790,849,885,047,731,296,240,628,732,886,612,157,075,656,183,
250,583,358,918,236,776,990,680,106,979,269,871,298,405,804,333,208,189,101,
091,422,958,571,931,571,057,883,128,272,238,295,122,124,295,481,198,613,290,
806,856,863,793,898,316,297,744,116,113,071,454,160,690,407,256,578,165,539,
987,981,189,838,130,820,534,179,687,028,498,378,788,702,628,116,557,939,969,
851,043,470,406,023,182,602,991,869,096,078,837,606,916,810,167,625,892,611,
999,209,163,517,957,917,643,581,324,042,184,629,757,438,946,997,550,555,432,
899,484,332,910,240,185,702,191,827,681,073,927,495,579,195,899,418,696,225,
962,087,359,176,407,724,625,529,754,610,067,909,315,443,797,116,133,499,976,
732,557,987,443,336,370,673,418,510,851,490,302,285,621,083,052,686,879,453,
984,172,919,622,015,358,956,590,070,336,499,464,596,739,828,660,878,164,857,
605,909,273,125,474,037,498,092,897,349,894,751,163,969,070,034,877,215,037,
349,533,497,953,717,171,098,158,704,570,176,157,715,423,070,000,293,633,262,
718,133,761,827,713,870,166,220,670,843,021,922,021,022,099,119,395,066,470,
734,779,148,263,960,649,348,137,928,347,133,038,953,917,190,721,481,438,883,
299,568,751,650,180,496,154,304,361,212,285,018,422,986,027,129,167,397,136,
366,257,558,381,947,024,197,671,388,176,234,402,992,925,778,152,063,004,773,
676,270,559,665,541,864,276,777,267,906,130,940,673,187,507,865,292,191,718,
299,907,834,453,793,052,581,366,380,936,650,912,554,754,328,921,243,709,753,
987,541,057,051,108,199,748,069,625,843,507,001,021,992,654,218,408,459,964,
504,720,479,153,609,632,596,491,492,013,203,975,497,175,322,191,165,435,377,
395,101,257,446,562,364,682,465,429,800,131,711,192,642,721,405,949,231,242,
225,080,504,092,489,282,681,930,597,982,729,324,745,086,518,310,359,375,434,
468,424,969,459,486,094,597,589,457,650,695,060,117,922,468,181,804,115,659,
066,643,408,349,969,532,862,243,296,166,212,435,916,544,688,918,595,900,040,
640,897,895,750,102,676,889,797,560,952,559,453,636,029,883,699,289,564,583,
130,244,293,280,736,712,372,024,266,417,715,395,447,634,950,782,698,460,317,
928,389,135,697,534,343,675,578,218,430,792,179,315,257,740,736,230,160,172,
050,159,477,323,044,606,609,292,151,642,854,471,542,206,139,163,093,459,488,
217,805,895,529,563,837,213,335,351,592,094,031,051,280,279,191,162,442,876,
711,039,282,684,103,160,092,855,507,502,684,043,440,103,359,157,797,341,451,
377,867,837,622,853,036,559,035,106,711,251,943,228,178,674,787,630,293,482,
982,274,146,154,274,302,539,257,610,212,920,799,875,588,325,964,906,540,223,
370,490,070,406,944,298,136,265,654,349,929,223,127,885,285,463,820,141,032,
202,246,312,477,493,794,575,334,094,765,916,968,092,727,969,650,119,170,830,
910,978,669,072,500,634,943,078,556,011,270,010,587,867,641,241,077,067,227,
405,664,472,721,850,747,054,959,549,251,630,037,651,989,574,626,802,975,794,
860,866,456,154,076,825,841,877,290,538,409,095,964,204,584,434,551,255,401,
490,261,578,878,609,534,429,114,908,509,593,607,769,969,343,648,751,415,445,
041,872,102,981,085,858,545,839,453,887,814,447,711,382,588,787,950,053,585,
380,486,309,914,035,302,671,639,132,224,723,693,297,226,740,554,046,866,668,
206,940,997,875,573,582,248,547,995,289,089,315,890,558,250,182,482,288,417,
581,866,335,446,005,248,878,652,437,769,062,809,242,714,923,526,478,771,410,
608,547,783,816,371,280,367,074,535,033,205,264,429,994,306,625,218,648,317,
452,020,492,469,899,185,730,444,286,391,591,920,487,645,831,167,284,092,544,
516,885,458,730,688,491,460,486,886,722,256,193,557,606,562,614,699,518,410,
661,759,851,217,029,231,407,351,316,587,667,561,468,698,663,387,788,256,622,
067,449,376,932,330,513,750,162,556,941,132,172,288,126,785,787,425,754,863,
981,160,930,076,422,319,007,577,711,494,894,967,283,416,840,503,067,033,033,
675,410,736,128,430,172,958,156,130,342,007,187,129,231,015,405,291,259,508,
362,409,806,145,697,374,467,684,910,562,357,448,022,493,453,090,843,586,120,
386,910,830,999,889,119,274,701,718,983,032,828,964,266,770,856,706,217,107,
793,779,769,068,019,663,854,614,301,491,531,135,708,574,021,538,890,234,117,
926,067,474,164,374,913,538,500,964,603,803,822,885,260,756,425,352,372,411,
695,570,913,559,327,625,870,434,040,943,615,996,859,409,134,219,719,527,177,
276,375,105,155,102,681,306,978,488,657,558,291,424,095,314,127,734,014,780,
992,703,492,598,030,199,579,951,925,765,493,344,308,653,118,674,487,172,262,
118,075,799,957,400,229,279,428,729,783,903,942,329,078,870,327,650,490,511,
455,091,030,346,063,241,301,813,332,569,988,094,687,913,909,815,137,310,437,
494,463,056,669,968,498,254,282,203,487,199,415,447,035,852,106,031,628,207,
946,068,205,510,312,417,659,376,723,498,307,010,968,094,982,365,826,372,396,
977,242,680,505,294,151,943,511,992,234,414,718,006,910,178,394,071,785,933,
584,098,895,443,789,562,054,612,809,053,699,666,459,072,248,240,136,692,918,
573,400,290,877,103,053,098,821,200,808,687,687,635,964,317,797,591,188,707,
647,783,649,314,016,935,951,764,024,442,360,478,632,644,667,129,375,325,154,
166,725,612,716,346,131,807,512,379,417,507,744,511,053,427,948,424,453,417,
466,536,737,469,920,489,348,974,523,789,104,243,795,675,181,248,372,474,218,
954,140,041,814,328,686,363,403,281,154,984,937,680,179,661,711,929,280,568,
736,916,776,886,183,742,047,056,765,141,336,281,094,387,002,699,820,836,285,
408,500,954,753,063,826,566,270,940,386,331,758,601,777,288,231,666,235,294,
634,036,137,054,692,531,060,474,957,516,147,751,458,555,044,699,678,835,588,
593,214,132,927,699,292,281,508,696,181,880,454,337,229,009,499,621,306,782,
608,197,251,906,804,282,547,066,583,012,166,162,935,147,284,883,765,030,390,
039,745,138,217,650,247,848,963,204,124,575,988,669,741,140,477,802,052,015,
697,094,982,658,146,337,627,537,015,923,366,969,370,774,263,519,142,402,137,
547,879,950,555,544,329,607,238,081,963,051,060,143,887,896,290,668,008,094,
486,783,669,760,712,200,095,778,751,301,636,193,821,698,390,066,825,449,292,
094,151,694,847,687,633,031,625,853,685,650,403,003,755,893,393,346,226,661,
301,227,994,137,926,414,029,014,540,878,044,160,877,694,713,856,271,665,530,
118,511,455,713,165,756,040,049,176,877,622,173,499,068,017,274,765,025,646,
560,552,054,519,333,530,621,452,434,328,031,697,459,358,037,488,995,584,629,
175,272,743,999,190,242,856,914,873,696,785,009,331,745,799,538,132,229,678,
120,782,800,207,148,845,778,779,336,434,571,993,055,268,276,295,984,482,939,
583,240,635,521,609,643,828,547,230,267,050,494,571,305,142,636,280,495,926,
449,143,920,660,990,470,471,071,177,066,608,105,047,458,099,319,307,901,231,
425,941,969,987,828,340,791,640,137,166,198,463,328,462,253,874,093,965,341,
149,028,037,284,423,401,808,074,338,701,200,315,614,393,927,793,470,163,487,
165,722,220,823,416,330,593,672,201,177,808,696,801,875,328,868,188,550,784,
430,907,887,306,360,586,285,102,378,780,315,774,493,896,869,316,915,197,219,
973,687,684,717,944,213,586,278,273,979,829,332,068,362,448,134,758,160,379,
858,239,534,791,845,427,324,186,612,255,251,537,881,696,227,610,779,566,928,
511,631,483,961,366,336,573,841,454,862,110,675,259,559,201,208,964,139,553,
368,467,087,232,442,436,697,937,735,227,506,979,389,254,950,559,745,250,059,
275,106,277,141,327,158,002,110,514,997,217,842,003,173,667,924,111,699,828,
654,820,512,986,285,021,396,020,948,118,923,233,476,532,376,025,466,154,127,
687,280,877,273,271,057,710,939,229,141,386,234,500,278,521,172,780,436,518,
260,190,393,671,397,899,900,852,866,056,124,173,594,763,749,862,739,374,072,
134,948,242,193,989,798,003,454,152,551,693,718,996,881,929,403,090,413,494,
307,153,900,047,836,788,753,210,710,045,545,159,295,749,649,106,132,067,881,
685,768,168,879,558,259,284,368,796,244,810,079,839,476,123,157,920,951,731,
448,292,875,015,138,054,802,482,856,307,832,710,795,780,752,379,623,929,557,
128,559,515,644,279,912,458,638,662,256,373,457,983,041,315,185,675,152,555,
404,766,427,650,147,899,590,408,425,831,354,135,211,222,727,086,403,673,735,
658,553,407,298,045,735,960,655,987,919,294,159,169,097,331,061,414,184,870,
253,951,816,754,218,442,716,110,706,026,579,030,608,314,650,425,761,030,181,
046,911,299,238,451,737,120,966,425,423,994,149,235,474,841,283,317,336,304,
359,714,364,266,172,128,987,967,760,221,723,860,290,879,369,410,952,321,700,
805,429,854,308,644,724,456,648,930,485,597,463,431,890,103,734,531,166,672,
969,852,563,130,605,072,568,099,839,023,293,424,647,990,518,853,978,803,823,
978,399,378,807,693,728,957,991,353,898,685,767,711,852,625,775,572,981,726,
138,236,984,810,333,744,694,190,621,562,011,636,904,269,904,633,582,410,941,
686,574,120,693,669,704,289,875,098,602,439,751,745,094,004,467,074,226,400,
132,855,151,330,208,750,932,313,838,721,790,124,493,660,523,630,796,397,872,
193,787,237,280,168,028,360,287,671,634,713,043,688,308,645,459,850,524,643,
374,218,830,605,972,460,992,557,036,064,210,268,527,431,486,909,934,504,348,
591,529,229,560,639,351,465,933,113,590,506,317,277,366,721,316,623,001,565,
640,595,642,509,973,413,222,045,527,273,815,502,788,969,514,030,351,539,267,
202,390,045,643,212,048,783,518,622,133,717,777,586,253,520,911,459,508,473,
460,368,295,723,630,343,928,603,092,159,500,203,280,855,204,441,290,080,036,
945,054,552,296,957,677,230,954,922,306,808,553,406,868,953,155,574,194,125,
613,709,710,095,132,016,565,151,673,526,546,501,863,700,950,427,000,619,624,
029,603,986,112,186,585,252,580,059,303,267,014,240,846,748,783,043,272,368,
695,297,262,277,256,140,743,562,516,406,772,765,863,634,103,942,114,530,909,
183,403,373,793,829,537,130,093,178,194,953,445,651,080,566,343,298,286,913,
965,720,378,356,084,402,169,747,406,396,437,700,382,235,207,395,340,493,110,
103,732,725,293,422,559,710,027,813,783,471,380,329,921,419,873,269,996,458,
390,344,661,068,954,298,949,125,238,798,399,345,188,067,125,500,415,691,322,
145,191,932,349,816,945,140,505,945,111,972,591,260,949,732,038,076,405,737,
578,458,391,649,393,801,963,863,648,953,802,130,568,792,441,839,753,139,256,
777,328,700,487,448,012,613,582,004,593,154,686,019,961,271,471,255,094,605,
416,129,335,330,466,705,426,479,465,661,713,304,037,497,532,071,920,208,711,
708,905,416,530,009,647,290,410,824,859,102,655,535,220,808,153,606,666,620,
853,288,908,692,305,877,043,713,661,324,172,584,347,532,039,931,691,802,842,
598,627,628,509,961,420,234,461,947,180,942,346,645,400,363,717,330,515,659,
076,767,957,657,524,711,517,916,968,332,712,777,257,560,489,420,053,405,678,
424,676,308,559,058,470,451,428,317,678,927,426,515,212,170,240,950,800,596,
907,215,244,810,706,659,094,883,295,854,067,319,431,206,586,894,511,326,317,
019,987,104,958,122,786,460,287,277,532,525,056,363,456,273,098,682,064,771,
069,469,280,866,937,956,282,826,668,122,989,687,498,263,707,989,240,910,896,
545,681,799,742,025,177,126,827,593,446,158,996,248,515,079,234,161,809,568,
184,011,174,937,096,970,447,059,606,970,074,677,150,954,398,110,366,949,251,
512,813,288,991,341,756,464,683,667,975,757,966,727,779,709,380,904,672,312,
335,014,035,301,356,171,105,327,932,326,581,249,561,197,123,877,251,119,206,
007,661,956,539,070,808,301,541,111,298,303,603,132,300,100,191,722,198,301,
239,152,507,011,985,087,283,587,909,752,173,987,589,379,725,506,924,773,203,
876,110,130,396,528,353,118,081,141,630,257,061,752,879,123,688,796,443,703,
903,449,896,204,896,602,723,227,651,920,306,120,196,189,080,655,313,746,553,
087,110,182,117,939,524,196,823,059,234,993,382,846,881,851,545,261,909,572,
593,955,282,077,408,587,439,339,793,034,446,003,247,150,531,741,952,921,144,
650,930,996,742,990,756,195,179,436,818,152,002,919,552,624,811,440,315,386,
866,788,826,748,222,995,682,307,659,701,901,750,684,508,055,841,620,004,396,
632,118,732,212,836,117,206,076,177,231,017,680,012,894,725,628,792,289,297,
287,988,526,231,654,143,569,587,533,992,746,582,665,728,581,622,525,896,699,
230,860,803,833,311,859,684,111,126,246,904,068,438,530,565,509,687,318,329,
932,233,138,636,119,988,204,286,932,499,281,654,732,043,773,275,495,449,073,
670,354,263,049,511,274,553,190,693,514,687,999,216,681,080,682,798,889,433,
621,691,546,887,558,752,758,045,858,651,190,710,163,349,716,107,998,800,971,
552,033,560,083,889,999,753,117,762,888,000,951,725,045,410,546,350,023,066,
122,410,982,763,572,075,520,870,521,158,147,945,069,862,736,084,683,076,115,
202,407,603,524,810,685,263,230,364,957,585,973,681,968,297,677,766,869,453,
413,921,791,484,213,042,946,810,069,881,986,682,335,747,072,474,428,505,961,
553,651,356,637,096,284,923,374,903,318,430,806,276,465,168,773,205,107,056,
073,484,201,648,696,165,695,778,264,369,565,192,152,393,757,677,470,728,616,
672,817,372,749,866,744,036,683,757,104,849,605,189,871,732,718,197,035,436,
800,153,750,590,249,309,833,529,171,815,117,160,610,304,835,049,862,230,081,
703,360,700,791,337,096,080,892,992,207,806,526,446,985,165,158,894,309,508,
636,364,927,933,716,440,171,219,124,919,094,184,219,357,497,009,243,975,574,
682,666,105,388,516,503,823,621,428,882,610,129,836,078,145,549,114,500,666,
910,518,617,953,733,160,541,493,739,726,207,209,641,244,750,549,880,168,961,
973,320,951,871,385,648,934,012,781,795,136,222,061,101,075,588,832,360,909,
048,215,055,392,632,675,046,159,021,175,330,124,247,694,916,911,357,075,982,
644,194,970,942,560,843,073,770,432,264,851,620,636,952,449,774,779,994,291,
135,159,194,574,494,059,724,044,650,520,171,709,362,608,420,816,573,412,457,
960,016,201,702,781,276,608,957,074,912,333,554,483,072,923,514,779,341,651,
482,850,543,776,684,473,137,695,975,357,686,097,191,268,898,474,197,932,461,
442,491,027,119,611,951,049,967,130,281,309,487,179,196,767,332,255,237,364,
034,590,245,532,503,142,668,804,312,344,022,413,365,003,145,494,756,531,682,
030,664,156,157,775,872,316,129,586,697,740,260,688,327,795,943,397,130,773,
585,567,924,729,387,538,236,140,196,680,220,681,908,005,255,679,597,095,542,
607,659,355,805,136,382,909,552,606,941,868,349,494,686,957,425,773,779,331,
714,030,236,440,033,681,790,183,599,452,426,299,470,227,774,994,102,766,923,
032,893,225,890,057,799,952,702,595,580,002,519,456,321,233,470,086,903,540,
195,562,208,589,717,774,300,568,752,096,603,434,234,840,119,971,294,234,633,
043,019,526,661,734,578,397,032,093,988,428,337,385,925,084,384,506,497,167,
291,560,197,225,641,917,952,885,215,086,857,402,061,124,442,573,244,981,519,
791,946,546,456,658,940,721,705,731,625,330,167,254,744,200,250,442,995,169,
429,583,971,592,090,491,766,717,131,083,280,223,952,058,478,549,373,752,839,
302,869,074,602,537,563,328,265,103,846,774,086,230,565,030,905,138,484,319,
814,565,668,040,704,872,092,264,933,132,091,771,701,009,676,427,961,498,480,
136,326,161,110,358,627,059,760,983,246,077,135,328,755,911,871,746,692,587,
335,703,350,093,092,258,009,492,120,596,784,975,593,372,979,310,488,027,436,
201,165,654,889,122,424,268,719,530,079,065,543,538,001,607,032,488,349,626,
355,820,828,580,223,912,221,786,007,441,799,644,440,511,533,116,035,329,980,
314,837,699,903,026,572,005,048,815,492,503,903,887,722,071,097,623,775,404,
699,926,462,007,649,711,101,829,621,007,006,549,919,778,472,169,005,548,399,
832,515,843,740,307,009,183,794,234,389,761,713,537,129,889,369,835,348,286,
536,138,633,703,521,299,984,187,611,702,309,722,879,778,251,618,143,649,784,
424,418,442,216,810,725,764,294,807,598,761,898,508,742,855,881,980,051,819,
052,919,914,612,808,099,777,642,221,900,973,453,477,905,739,048,455,359,165,
827,098,441,158,534,685,730,178,805,280,344,024,472,673,856,073,114,759,527,
795,505,767,232,309,291,213,683,502,926,397,956,262,255,106,950,663,147,244,
682,201,144,389,060,478,096,117,826,749,481,790,673,215,219,569,026,003,345,
640,405,289,606,874,121,407,434,423,782,995,364,491,102,976,619,723,816,576,
480,052,660,353,188,241,279,315,449,805,670,152,838,232,686,561,432,379,880,
150,760,521,967,279,950,942,899,788,482,914,025,995,700,176,230,694,053,695,
335,401,937,338,049,185,549,142,741,049,072,395,815,427,503,957,600,910,668,
044,671,875,088,732,567,553,732,520,555,436,951,506,693,107,448,877,174,050,
222,415,977,984,267,029,218,676,111,364,728,322,081,444,248,363,889,890,365,
294,109,848,038,546,205,219,463,528,187,571,074,299,475,510,955,537,413,045,
625,877,922,744,105,840,490,776,616,178,542,667,631,159,750,608,599,660,501,
743,987,698,719,365,990,152,720,965,930,095,938,707,583,804,605,674,630,450,
171,640,326,735,570,105,591,291,207,594,274,249,426,825,109,603,813,369,549,
927,992,471,200,142,207,647,009,827,307,177,302,178,592,319,253,889,143,917,
990,105,819,053,482,545,116,279,120,363,937,251,623,616,418,744,391,079,780,
487,151,475,016,997,689,033,219,306,048,569,840,177,961,094,295,396,034,444,
966,634,226,470,767,992,036,785,636,269,413,847,286,979,882,548,428,563,771,
253,130,608,612,727,434,664,744,285,034,201,728,281,085,162,110,175,875,313,
935,259,316,031,789,949,981,679,931,184,613,943,403,873,848,156,224,141,867,
585,019,584,906,164,843,979,714,675,028,828,101,963,868,610,675,066,478,353,
791,542,808,435,520,726,065,793,524,719,825,612,477,721,437,947,075,948,681,
318,589,126,094,932,701,250,698,229,925,330,824,668,733,179,444,325,268,176,
326,076,686,607,097,309,472,053,945,461,226,220,709,220,554,704,674,863,903,
856,644,516,876,530,651,051,478,856,961,646,746,565,374,934,217,499,719,544,
167,981,051,657,147,412,600,813,421,529,625,154,555,507,379,182,486,829,376,
577,802,026,768,492,560,779,266,229,540,739,356,673,043,397,691,584,977,699,
147,809,126,566,202,233,938,278,007,618,959,888,520,488,505,701,925,467,858,
176,955,043,677,025,342,510,648,157,876,332,077,986,106,815,289,448,082,667,
279,826,236,897,115,317,374,961,225,016,854,710,040,158,073,303,302,618,085,
644,667,234,336,993,107,472,253,110,063,187,229,925,324,770,141,422,268,093,
089,795,707,953,994,478,596,304,444,226,909,659,742,310,430,556,540,379,016,
740,396,470,328,689,285,730,828,621,045,428,765,484,433,379,912,545,726,752,
003,241,001,703,940,456,822,966,836,513,894,714,074,648,687,416,888,414,688,
553,353,545,903,322,297,229,636,456,610,572,033,520,687,211,011,172,617,127,
217,949,024,738,882,710,442,155,146,446,671,253,984,682,620,400,442,093,366,
771,513,753,014,143,912,210,216,463,772,934,429,654,464,568,046,665,510,782,
080,233,663,442,505,273,668,469,533,684,039,678,411,964,163,539,421,309,661,
042,401,925,771,927,436,410,866,358,754,754,106,803,188,640,497,349,483,515,
854,310,873,943,546,959,407,405,885,712,164,631,741,793,736,362,664,739,413,
686,168,842,218,179,158,830,629,129,858,343,958,976,571,316,170,300,168,446,
483,728,681,219,702,461,935,714,277,221,268,984,333,078,180,761,315,820,369,
602,428,455,631,970,919,043,898,984,445,067,633,222,771,246,691,847,026,129,
157,466,765,192,254,767,127,375,776,889,430,351,857,856,149,428,233,797,622,
479,194,248,657,743,337,141,614,116,814,338,542,884,207,339,398,418,556,132,
505,181,559,385,370,927,630,992,322,839,741,829,601,601,724,212,160,600,739,
907,861,039,883,941,853,428,551,196,855,430,234,196,226,416,070,511,405,358,
697,188,816,174,414,582,659,101,228,169,141,539,702,737,743,646,339,564,492,
260,001,037,770,288,532,338,878,172,777,234,462,309,264,256,523,980,630,281,
671,329,397,907,376,808,876,953,999,158,526,460,679,737,791,216,173,269,596,
600,601,038,543,847,184,985,679,760,704,623,284,884,039,173,289,280,319,482,
552,783,940,861,942,762,161,864,788,490,922,851,505,225,573,070,355,693,571,
357,248,440,014,484,825,272,566,280,013,112,219,720,076,375,537,928,147,058,
192,303,582,970,467,652,292,958,512,440,627,944,746,997,488,240,058,596,500,
370,980,428,922,810,250,277,527,380,327,248,515,016,897,532,554,708,141,152,
592,392,595,243,417,506,772,227,314,381,466,920,706,673,647,576,352,984,844,
000,941,045,865,994,900,303,500,592,796,568,776,130,951,833,420,005,789,216,
172,276,112,652,534,402,150,113,465,549,125,409,445,770,792,873,105,835,342,
465,042,821,110,569,644,388,375,031,274,849,464,437,200,261,079,050,421,906,
270,201,740,735,737,181,654,510,815,019,443,330,667,832,846,872,636,722,814,
612,709,082,537,403,144,158,164,570,208,093,869,648,077,034,706,595,259,243,
620,591,872,969,061,077,130,975,518,407,595,616,732,624,577,589,132,435,874,
771,941,727,513,578,357,224,704,958,257,840,379,850,436,071,642,241,712,491,
306,825,685,114,100,966,336,157,665,474,885,483,248,389,378,761,517,470,631,
378,264,365,480,960,148,216,547,122,443,518,760,151,846,176,200,470,191,016,
337,823,231,570,662,389,029,179,379,499,982,843,704,800,706,888,449,764,461,
246,325,385,489,007,831,188,884,080,427,621,123,848,415,989,228,121,408,555,
289,733,118,901,867,646,696,296,620,852,828,052,951,473,903,126,105,833,114,
789,579,895,215,188,756,232,954,020,771,852,457,577,481,192,521,372,456,250,
276,105,655,046,945,592,505,126,037,916,024,262,865,438,720,122,017,990,600,
471,413,278,771,629,986,407,770,347,553,366,183,040,830,627,133,352,800,469,
642,873,297,662,145,053,014,687,631,288,457,232,669,519,787,995,186,155,337,
079,702,503,084,583,940,331,167,878,383,791,771,652,150,389,616,282,734,830,
603,711,831,925,875,089,878,439,769,720,889,383,042,956,810,920,658,619,608,
759,395,386,345,418,008,646,307,320,523,377,110,290,019,733,701,143,888,573,
351,715,374,180,621,085,138,897,111,380,960,246,150,376,146,450,301,584,740,
142,310,304,003,280,952,555,890,555,393,605,503,406,815,073,980,901,230,344,
463,029,737,328,553,085,948,520,042,798,243,126,224,434,065,842,139,985,716,
985,334,525,658,752,981,938,324,549,774,716,020,747,579,523,472,568,632,933,
709,898,067,639,415,339,133,928,470,608,267,746,814,023,734,717,943,914,483,
581,804,563,592,030,803,484,240,000,081,441,808,547,620,901,044,771,823,618,
344,279,520,294,097,621,732,658,082,494,106,176,490,472,181,995,619,504,104,
645,843,120,189,068,385,157,907,549,912,526,478,437,170,666,584,482,337,991,
975,616,979,393,820,489,945,729,044,211,232,362,520,126,841,036,613,385,649,
040,082,148,539,587,499,953,957,009,794,259,853,476,562,004,463,261,327,910,
784,129,050,294,318,918,938,290,467,619,873,740,192,256,358,929,814,158,107,
049,144,634,631,797,994,631,326,748,892,778,887,928,645,674,776,626,619,918,
965,311,179,132,474,980,435,819,427,604,170,634,645,894,487,691,483,940,742,
621,167,701,052,633,505,799,298,670,117,340,337,070,512,428,216,600,060,477,
079,323,202,514,257,814,151,448,956,841,798,490,014,369,343,074,249,682,220,
455,726,146,404,353,420,467,893,633,927,513,493,315,697,418,940,158,002,880,
438,614,928,058,720,112,159,515,820,442,995,130,372,716,755,609,699,428,926,
243,422,151,281,664,393,992,608,945,192,017,373,360,762,313,376,152,540,375,
727,309,786,842,777,014,036,972,960,780,447,383,732,903,868,060,793,007,657,
508,832,142,240,218,498,688,526,113,299,099,974,073,590,222,918,773,651,439,
839,460,669,715,411,912,171,531,911,969,524,275,933,786,784,025,800,348,227,
887,475,946,952,292,268,822,690,312,166,089,556,566,922,105,191,178,722,897,
257,656,674,286,140,070,102,747,598,742,459,111,748,763,398,871,164,465,894,
228,336,284,996,309,910,261,556,897,962,898,235,291,840,769,050,451,297,195,
681,429,983,570,474,046,199,047,395,691,534,550,744,573,629,373,746,976,089,
949,708,049,676,444,054,378,024,366,552,701,092,953,105,975,196,457,671,289,
556,503,806,253,338,027,797,021,640,252,331,994,175,006,287,903,331,376,379,
784,178,384,178,987,935,860,025,443,688,473,624,330,789,329,035,206,531,535,
399,221,346,426,627,009,223,846,541,297,150,519,741,353,261,601,689,282,613,
128,913,332,111,682,878,382,097,154,112,736,579,899,482,206,364,651,239,414,
329,602,512,749,481,644,102,901,552,793,574,121,266,554,885,165,971,803,964,
552,637,337,205,168,286,662,658,249,037,967,400,617,370,697,452,790,107,183,
612,937,112,273,158,073,452,767,914,522,332,126,490,432,584,456,636,978,476,
121,747,463,292,843,035,023,090,072,554,848,115,733,417,816,706,534,686,193,
901,774,583,234,969,023,443,767,149,167,183,029,400,450,191,298,932,782,862,
961,682,882,393,811,798,837,982,524,892,307,844,368,353,094,219,450,567,081,
487,501,810,017,997,061,118,391,839,157,452,581,755,140,495,348,538,863,054,
753,575,516,065,828,151,227,761,902,244,468,377,842,177,134,881,436,894,204,
316,391,034,486,489,588,656,683,585,075,831,751,954,238,606,036,386,190,829,
592,110,125,478,092,245,710,184,186,607,538,193,121,009,997,641,592,954,979,
406,446,600,247,621,431,028,955,315,847,131,677,128,749,210,515,428,058,065,
192,975,023,164,001,642,903,813,874,548,389,214,049,029,576,297,741,668,209,
796,858,183,500,281,458,503,754,973,318,982,799,556,299,179,687,291,193,761,
020,291,308,852,391,544,348,952,393,082,205,340,164,783,752,980,095,218,004,
684,484,880,702,607,347,568,184,247,465,223,516,453,766,417,571,383,614,411,
755,025,348,042,072,243,053,574,075,519,663,530,695,927,245,278,604,719,071,
119,194,634,705,545,738,921,662,526,109,756,937,241,157,216,938,998,897,772,
355,949,606,474,420,155,358,212,081,363,647,855,592,940,940,540,994,690,655,
532,651,034,321,986,179,556,654,829,377,926,563,662,206,501,896,857,097,363,
647,043,482,522,194,964,534,582,501,573,609,193,106,093,174,868,900,311,105,
189,819,616,081,002,130,202,459,402,643,454,904,642,634,305,262,050,407,421,
079,883,705,901,864,735,930,465,903,828,543,255,156,469,953,595,131,633,245,
188,908,111,123,760,992,659,188,598,582,305,506,930,020,883,376,805,405,758,
250,499,934,070,667,651,092,761,072,735,310,844,046,176,013,515,339,764,879,
994,148,654,849,633,266,214,907,315,619,516,473,083,741,994,182,414,151,107,
238,917,751,431,789,339,819,224,250,304,428,312,662,627,005,826,950,796,655,
935,532,277,589,550,742,792,254,653,097,207,607,550,183,628,073,394,208,411,
938,681,484,901,161,011,569,856,336,581,329,052,649,490,166,195,669,633,375,
468,954,642,849,734,381,693,160,788,121,749,055,487,824,279,756,390,157,631,
658,501,804,119,845,638,065,184,833,884,646,469,390,466,809,823,919,163,875,
218,938,138,948,127,658,760,323,005,872,149,157,744,088,855,890,923,370,571,
693,279,281,323,003,162,070,499,854,507,767,160,223,066,661,965,305,835,301,
007,897,889,996,269,143,609,751,077,159,317,888,290,396,209,978,228,202,057,
509,770,231,897,008,798,723,300,556,402,320,974,595,154,680,603,054,036,284,
840,474,092,665,994,628,909,908,023,082,744,997,262,155,057,556,209,335,030,
422,214,886,027,179,408,581,664,141,896,637,132,530,765,630,476,197,336,713,
619,124,211,246,446,467,779,012,148,669,931,396,141,911,281,269,247,186,759,
485,815,816,833,838,919,643,513,411,720,490,419,027,125,161,369,812,449,710,
849,918,438,404,780,133,617,962,613,903,860,053,738,515,851,011,010,485,778,
100,782,700,700,784,574,282,349,438,051,746,532,575,945,966,877,126,409,033,
182,652,363,994,301,938,771,511,209,655,876,948,461,796,337,993,834,464,001,
609,764,023,677,514,956,335,326,034,010,392,298,851,146,875,157,138,173,334,
287,071,379,515,896,740,328,652,459,236,894,053,349,811,384,076,117,873,902,
889,246,767,302,904,020,899,024,131,127,676,038,487,984,818,361,787,922,117,
987,626,379,463,311,919,299,124,194,400,199,884,546,955,438,373,069,598,537,
619,239,993,034,635,032,269,158,943,103,636,586,924,852,237,958,944,840,158,
689,366,616,937,654,540,483,158,343,216,662,558,163,125,460,420,917,571,190,
933,126,295,966,214,381,366,030,981,138,709,892,716,473,734,147,519,286,342,
074,243,370,720,198,789,803,290,599,219,962,827,443,352,196,367,116,170,197,
892,978,402,339,953,391,740,239,638,719,210,811,473,656,902,390,396,097,480,
745,736,037,319,581,127,459,088,653,437,601,144,798,662,609,523,620,763,422,
909,550,984,991,972,219,401,979,003,330,629,712,215,186,803,809,064,593,287,
763,937,277,462,162,564,679,204,265,588,733,973,864,024,940,902,237,125,518,
602,937,049,071,426,838,863,166,567,922,152,717,134,710,025,207,335,242,601,
844,781,716,171,917,086,543,160,521,745,245,640,650,557,502,511,906,673,949,
080,682,543,519,564,999,265,433,223,748,654,139,942,484,663,535,166,733,982,
671,265,826,589,410,736,728,849,812,126,707,957,758,163,687,636,088,731,215,
847,314,377,806,440,728,234,040,112,349,212,266,215,699,682,789,247,282,300,
564,231,877,363,068,880,216,400,959,711,094,095,230,407,484,575,405,686,401,
047,767,881,443,798,744,431,082,413,852,821,608,671,439,330,031,307,931,409,
021,247,531,357,605,438,541,666,082,510,261,993,244,159,842,737,331,085,510,
245,255,461,993,032,632,024,740,381,604,005,897,777,895,324,467,460,297,937,
266,795,799,710,156,427,780,299,019,064,768,546,456,638,111,833,166,909,934,
035,084,983,049,452,549,761,325,206,195,234,791,851,060,941,519,044,247,272,
028,852,786,184,136,446,917,530,738,893,726,441,950,822,284,532,718,747,988,
246,806,031,409,640,663,486,178,974,689,848,000,751,375,354,326,239,054,639,
693,512,752,626,329,296,042,869,277,110,821,864,192,583,406,398,020,768,265,
319,553,781,343,336,091,484,012,770,699,425,845,777,259,929,108,986,421,286,
425,494,287,079,128,784,110,808,763,516,167,807,046,937,159,861,666,703,524,
653,571,404,916,608,923,093,692,910,909,562,810,488,591,508,407,125,504,346,
620,579,920,242,042,138,606,683,479,031,189,855,397,520,414,410,152,367,354,
788,989,604,702,349,325,560,660,296,458,046,854,864,377,624,121,277,787,535,
613,258,858,435,249,692,237,636,808,928,179,150,295,870,198,828,902,245,881,
676,360,730,466,664,018,233,628,554,347,107,385,724,310,003,475,035,019,920,
836,486,409,495,572,799,421,401,992,331,836,648,395,340,697,056,496,142,880,
698,571,179,514,064,965,489,250,990,911,373,618,777,688,572,531,039,760,969,
123,552,948,148,707,928,801,906,375,228,964,847,184,207,368,524,351,431,252,
852,857,621,803,445,598,723,388,781,121,877,651,592,600,466,281,233,383,879,
737,470,033,686,743,133,166,935,867,830,774,547,872,838,040,473,959,198,099,
591,462,230,303,072,607,036,580,555,786,173,623,375,479,509,399,394,328,537,
687,829,725,169,507,425,629,704,301,690,135,872,417,905,963,251,452,874,264,
704,415,301,051,981,765,129,392,876,100,483,448,948,143,749,073,746,725,886,
819,551,341,641,445,456,319,142,095,690,407,561,825,249,629,697,526,156,652,
271,981,318,071,629,064,812,414,393,150,816,308,139,058,914,037,092,749,559,
379,158,438,143,321,393,356,389,609,277,291,388,899,588,925,676,837,319,275,
303,202,710,594,261,762,193,794,703,965,647,750,161,751,328,319,596,073,428,
184,143,805,587,015,709,862,232,853,377,950,005,354,877,134,785,074,170,136,
814,003,111,398,908,289,444,299,507,176,266,012,761,012,873,215,051,122,658,
469,021,765,814,073,618,314,779,920,487,436,394,073,906,828,389,439,034,239,
037,229,886,180,958,202,659,262,544,794,670,706,850,049,711,454,205,426,868,
772,919,068,158,256,091,793,271,746,825,862,711,687,643,536,127,276,573,873,
710,041,747,390,440,129,460,985,225,590,827,249,131,895,367,206,116,083,392,
144,100,062,331,128,187,265,252,556,641,330,199,606,088,231,007,782,763,087,
017,167,663,197,448,142,662,548,595,759,776,358,499,871,344,926,732,116,141,
892,077,793,947,646,543,493,991,931,319,691,830,700,812,743,885,345,841,608,
963,169,778,388,315,753,599,244,383,980,279,317,746,254,263,437,554,667,661,
026,660,966,632,456,108,325,418,910,779,464,869,311,849,093,513,552,391,324,
447,988,397,729,492,983,684,194,136,910,316,862,019,282,154,601,612,227,217,
689,198,151,136,517,077,689,671,753,336,699,587,512,119,780,498,551,343,533,
928,148,631,357,076,178,046,242,733,649,503,930,444,528,081,889,065,368,390,
724,236,679,466,604,003,632,561,018,855,981,827,467,581,928,469,214,124,949,
878,136,549,217,318,849,469,275,578,829,203,799,609,527,566,718,098,640,208,
266,196,115,815,687,494,104,610,009,118,579,257,158,688,736,052,006,495,801,
446,942,386,603,136,116,728,916,772,883,308,515,053,382,689,467,562,944,269,
656,692,993,636,727,838,612,262,091,226,036,175,377,826,503,023,287,727,786,
688,059,991,210,642,387,266,083,724,309,082,830,887,812,142,680,009,169,228,
793,662,185,632,287,134,582,213,032,925,208,839,358,821,925,160,164,931,282,
730,624,234,161,162,043,630,173,165,522,192,165,176,073,941,571,572,226,810,
880,425,858,495,234,008,520,098,466,145,048,356,654,624,077,657,308,034,020,
510,145,423,869,752,317,065,912,103,335,660,666,263,817,829,049,940,712,803,
035,129,856,582,265,399,654,480,161,887,223,413,145,514,319,728,110,607,857,
294,591,116,971,252,396,831,444,576,915,773,583,886,230,720,948,513,447,313,
825,025,400,928,165,900,982,387,967,226,193,851,616,019,430,796,421,110,783,
704,966,955,186,900,804,686,741,337,763,646,589,758,955,366,934,073,908,913,
146,476,917,036,155,894,306,299,706,297,194,005,803,580,904,943,624,490,656,
450,670,599,366,035,946,120,404,068,566,951,781,892,601,957,469,271,332,343,
933,549,435,475,830,808,864,732,971,120,872,995,160,681,055,939,457,747,905,
804,666,465,131,233,918,861,565,057,939,471,883,271,559,058,530,753,431,838,
268,550,948,399,888,523,708,581,287,767,261,058,155,068,609,707,440,120,392,
635,910,994,734,235,362,029,949,963,710,847,874,304,411,407,099,138,704,344,
953,046,627,010,000,789,133,055,257,677,587,835,331,912,386,853,696,958,930,
509,680,536,349,054,586,766,817,036,955,437,092,930,777,379,300,572,670,545,
775,609,210,846,221,235,235,464,963,220,188,689,119,801,661,212,862,367,282,
152,223,917,406,400,790,081,159,669,099,898,244,276,723,715,472,007,976,216,
363,138,906,643,963,800,739,281,558,214,109,050,596,521,662,105,446,318,988,
616,959,851,488,755,930,088,658,882,303,040,590,932,606,879,749,109,651,038,
123,160,330,408,451,590,734,524,943,247,559,657,021,885,843,861,768,659,124,
610,545,858,125,354,846,628,416,622,715,752,344,717,514,978,772,764,577,374,
729,845,205,325,434,812,773,565,516,195,345,528,433,965,764,122,472,113,258,
942,973,320,426,119,163,116,180,832,088,260,602,221,849,300,025,674,932,559,
317,943,973,168,473,452,376,337,857,501,183,191,565,029,012,108,631,599,080,
552,654,318,579,416,444,857,684,039,124,850,546,555,255,378,051,294,785,437,
769,987,827,393,410,485,339,480,479,710,207,765,916,864,801,033,473,995,994,
003,159,121,258,549,835,616,152,493,657,120,416,939,036,945,996,930,102,143,
159,867,718,295,611,675,152,441,929,081,969,820,658,439,526,949,717,963,369,
755,216,048,212,032,505,811,791,820,983,705,810,315,742,921,508,319,745,556,
810,348,965,166,295,493,059,936,160,110,228,535,227,288,465,688,599,703,533,
318,643,482,790,018,701,781,533,132,953,127,459,563,778,105,195,770,952,247,
028,676,408,024,727,398,784,217,468,274,173,929,579,158,913,334,233,222,392,
022,622,286,541,545,160,370,915,497,470,539,363,710,132,368,640,178,821,447,
260,035,673,068,866,359,689,591,919,719,509,339,195,619,858,449,391,275,614,
898,366,926,614,224,934,476,111,463,399,477,420,666,308,899,767,260,094,646,
711,356,863,143,941,433,475,745,244,582,478,656,183,315,732,228,074,087,420,
090,620,912,324,785,687,734,779,442,300,874,178,608,895,070,123,744,008,938,
832,532,292,231,561,048,881,861,876,319,297,204,999,853,489,035,464,597,292,
574,516,574,292,135,167,538,807,228,849,724,242,034,095,263,389,965,548,218,
112,498,638,379,579,553,793,803,291,956,962,773,287,807,863,259,399,708,513,
505,729,670,699,866,984,779,575,117,799,827,283,021,479,677,376,703,093,270,
741,298,082,986,547,379,361,601,150,594,526,468,377,377,912,671,694,968,228,
364,147,179,543,503,534,517,489,717,629,159,812,753,069,983,955,522,070,969,
934,344,645,204,463,141,814,852,285,452,594,210,132,092,792,906,075,189,905,
708,201,668,755,516,138,412,174,162,137,524,037,539,800,976,037,647,782,007,
274,730,773,598,325,359,440,139,366,255,579,228,739,424,078,441,449,520,651,
692,395,973,967,726,434,091,876,683,488,328,939,589,502,741,020,639,482,813,
230,608,037,766,093,920,729,250,407,365,989,029,992,044,173,771,270,330,596,
225,908,187,444,094,319,262,367,470,759,620,971,220,334,629,508,721,033,493,
803,185,676,334,529,284,533,334,294,613,457,507,286,963,149,828,363,492,092,
112,098,680,092,115,314,670,599,885,978,454,266,407,108,737,905,627,031,802,
211,907,151,883,246,231,469,656,034,760,840,279,456,426,005,856,689,606,049,
898,898,869,965,961,469,873,722,250,818,578,505,582,908,396,888,235,530,442,
514,271,576,511,620,641,608,164,219,879,387,230,460,650,446,521,564,449,615,
870,136,595,977,523,895,983,800,714,252,767,620,171,153,886,110,807,743,200,
693,309,644,205,452,359,764,810,129,754,243,383,889,488,058,197,007,118,602,
662,794,784,142,948,019,239,033,852,487,056,477,096,979,561,601,661,458,625,
631,116,308,348,701,894,684,199,346,435,551,263,984,456,394,135,824,082,895,
310,496,273,932,578,277,725,752,343,509,226,348,045,920,681,842,091,797,162,
721,361,511,279,838,491,987,038,040,143,282,097,004,199,790,498,736,260,620,
907,498,488,608,204,641,582,923,764,441,261,072,089,051,329,402,211,302,094,
108,455,426,781,914,421,443,357,558,343,824,058,322,671,607,817,113,950,615,
055,493,656,997,618,259,323,516,214,379,952,269,673,539,415,860,181,829,036,
307,806,504,951,355,369,709,582,783,609,541,694,105,720,959,389,232,423,538,
954,576,310,544,619,564,779,031,831,690,359,306,667,111,941,767,360,676,359,
959,375,956,341,475,348,235,402,574,203,862,115,668,844,321,101,383,485,732,
492,212,325,713,758,063,946,550,273,428,003,178,785,177,489,728,148,222,331,
024,301,952,041,341,008,947,419,221,119,885,782,479,672,275,514,794,242,729,
152,800,847,032,287,936,546,195,902,179,540,217,979,734,472,133,296,032,939,
598,743,701,060,691,830,223,493,411,460,718,350,458,709,001,019,605,430,391,
210,611,501,486,284,732,711,165,427,978,291,957,361,683,314,832,061,896,254,
986,661,373,938,777,385,685,323,774,746,367,263,402,816,804,937,157,337,817,
422,797,881,923,206,481,117,394,184,465,877,605,846,024,977,314,443,080,454,
524,928,831,104,469,993,892,603,261,802,967,709,375,357,422,580,215,701,867,
823,010,267,526,811,905,171,360,888,165,834,393,408,531,652,709,865,313,380,
399,396,972,681,301,671,346,352,283,518,753,106,239,867,957,728,310,015,664,
712,616,544,536,269,364,652,520,549,290,257,910,942,318,053,700,535,615,540,
171,825,354,026,402,722,935,778,311,679,126,022,625,718,994,394,830,239,202,
245,107,270,922,429,804,946,892,911,527,292,265,363,590,031,088,591,429,826,
468,152,555,071,476,158,437,124,978,199,574,543,749,087,265,286,738,771,541,
526,563,413,349,357,844,270,767,413,862,653,237,208,482,196,363,860,109,719,
401,088,622,093,712,501,260,863,344,968,237,988,965,865,673,345,824,230,498,
848,520,639,213,832,949,624,519,105,799,731,160,365,965,096,471,541,118,136,
131,361,162,646,283,351,542,887,737,890,495,486,521,122,901,247,924,867,750,
424,369,831,944,850,772,196,098,861,641,194,396,768,585,835,758,291,936,321,
144,497,383,829,823,829,755,327,766,603,727,026,693,846,331,234,665,887,744,
716,093,863,158,741,995,121,956,927,793,084,761,638,491,936,216,613,538,265,
458,023,599,499,174,146,021,903,385,191,254,144,380,120,667,981,125,639,753,
914,901,448,447,788,466,498,494,111,663,144,911,068,831,433,817,593,626,642,
135,226,582,543,668,679,784,619,520,494,666,811,771,908,713,522,567,791,355,
013,191,930,408,813,257,166,512,502,778,512,592,277,357,258,082,779,236,507,
109,534,629,673,673,522,564,579,803,271,675,867,527,603,974,109,362,241,591,
854,643,460,240,815,953,173,969,997,715,256,302,494,717,585,744,247,759,273,
652,265,909,756,809,628,733,933,015,810,430,109,033,442,168,013,131,111,011,
879,344,123,765,967,973,192,467,909,442,807,946,514,044,830,603,752,416,145,
859,232,138,696,273,348,773,391,977,713,302,569,026,832,873,818,490,605,384,
766,981,034,000,667,571,667,773,690,906,902,084,597,399,500,410,331,227,179,
377,459,852,048,445,622,503,239,671,345,328,778,990,512,966,881,877,953,574,
977,171,743,299,746,566,049,663,725,262,162,758,236,982,193,881,433,561,112,
453,170,198,786,418,135,476,319,801,241,095,604,727,778,124,344,254,788,711,
803,571,890,095,531,793,122,679,025,459,357,612,847,375,737,536,087,637,924,
892,857,902,118,938,363,991,535,825,462,925,735,026,028,758,374,012,249,113,
629,339,066,940,132,402,488,450,361,934,420,275,859,352,543,354,697,894,938,
472,273,803,586,500,502,111,878,445,826,938,969,497,346,283,741,079,293,223,
726,052,981,272,885,002,584,870,114,509,007,428,704,089,085,761,971,443,243,
614,887,460,443,475,483,099,152,346,686,160,604,624,648,111,192,606,002,812,
470,165,971,744,612,080,734,814,279,503,941,017,194,806,603,617,907,532,282,
385,548,508,620,337,259,944,955,346,408,667,939,998,083,316,504,670,815,820,
395,518,778,381,682,856,352,918,329,160,926,496,830,840,772,767,388,749,721,
933,018,727,818,676,387,106,513,375,773,100,376,416,921,331,526,412,021,761,
076,378,655,231,872,902,054,839,385,842,148,721,475,519,703,532,701,214,821,
100,546,931,668,635,373,883,261,079,758,915,608,626,488,462,781,642,467,051,
991,555,093,898,661,637,774,232,089,698,656,850,686,597,669,565,887,631,021,
901,930,764,178,378,948,678,896,669,385,362,841,688,911,891,427,313,474,030,
389,031,419,451,401,315,792,200,389,693,593,348,345,783,408,351,038,798,443,
790,647,794,368,249,320,536,273,267,612,595,086,457,399,507,784,376,540,191,
992,787,698,008,467,161,351,170,602,040,550,778,258,611,219,500,516,417,133,
393,924,134,209,142,530,643,341,204,514,564,190,018,662,057,642,645,966,856,
517,816,407,380,815,550,683,232,043,891,869,018,602,715,858,702,904,857,024,
128,190,439,871,386,355,732,942,004,254,908,897,086,266,242,487,898,209,641,
238,842,549,798,944,002,060,274,402,120,469,279,148,558,113,376,166,021,513,
806,062,552,392,988,549,633,314,281,167,554,883,469,663,496,764,934,859,976,
769,490,735,600,476,904,915,472,461,192,189,463,107,095,444,476,405,100,787,
088,058,931,106,136,404,125,104,484,152,737,588,409,675,280,592,019,992,490,
206,638,889,231,137,016,528,213,649,207,183,381,958,637,531,995,433,163,093,
012,173,763,266,253,099,317,430,328,949,832,550,471,878,432,083,594,266,320,
449,065,964,874,491,782,541,381,794,976,046,643,112,299,239,527,610,769,409,
193,201,388,092,253,574,182,648,262,567,580,336,727,557,876,924,144,443,033,
825,522,144,396,419,299,258,016,943,345,755,623,886,105,752,395,686,889,999,
171,568,574,671,574,646,934,611,344,567,407,220,698,823,713,899,147,396,225,
947,040,689,712,638,946,508,023,969,690,983,147,277,533,018,093,262,154,864,
301,906,594,953,402,632,859,971,849,968,069,426,258,333,443,971,195,951,483,
609,369,286,833,156,145,749,739,173,853,397,384,873,960,686,410,261,046,840,
079,621,804,964,000,448,036,890,215,124,547,289,250,175,081,823,497,869,662,
200,989,950,407,958,510,848,452,916,377,042,833,016,797,764,587,207,540,536,
227,057,121,043,782,314,740,927,167,541,827,593,243,503,688,524,187,916,688,
070,213,590,253,156,028,348,158,405,591,711,108,565,097,310,424,080,991,788,
113,393,192,348,379,070,925,699,841,972,326,682,440,638,739,279,973,599,923,
398,018,383,730,722,929,889,524,224,182,005,592,151,932,855,897,656,476,623,
605,413,324,990,915,695,826,614,784,955,785,283,255,136,785,273,230,172,687,
934,678,069,812,241,067,291,012,271,532,899,319,135,087,730,364,236,151,593,
191,078,824,580,199,084,989,020,597,209,931,453,788,637,219,450,701,620,873,
084,697,620,597,763,127,999,184,823,828,141,239,109,012,431,883,179,248,210,
092,059,741,413,766,915,032,686,187,011,550,238,665,516,734,037,707,176,785,
035,234,786,376,441,308,240,500,843,508,656,723,326,766,554,181,935,886,590,
361,960,477,178,793,799,529,887,568,719,187,560,725,512,838,424,708,063,264,
828,667,729,852,102,162,512,590,678,773,401,786,538,488,993,289,726,278,311,
440,239,528,671,315,775,444,178,360,342,555,168,527,865,364,605,653,950,887,
317,368,612,268,161,777,540,391,577,194,417,936,197,828,852,959,906,535,646,
047,458,782,700,783,149,497,088,383,739,636,223,543,363,024,455,702,117,775,
175,846,652,853,645,831,266,329,590,580,651,090,907,214,415,749,038,658,347,
342,759,914,519,794,769,722,059,015,120,579,733,192,707,478,915,036,480,188,
794,573,115,142,396,152,758,578,299,840,256,454,436,434,130,806,962,205,748,
062,837,453,313,814,399,279,976,084,253,582,526,311,304,781,271,312,378,133,
122,034,970,507,458,991,332,061,891,275,793,953,965,491,818,633,541,076,698,
518,891,404,033,327,664,774,688,814,282,228,629,004,814,461,317,482,700,803,
853,195,001,552,617,906,500,119,750,550,330,106,339,100,386,207,182,066,994,
991,713,418,503,562,373,427,643,008,488,419,534,128,629,894,600,152,617,474,
988,177,387,693,254,725,828,887,368,626,723,724,202,655,515,908,187,709,094,
014,195,686,016,058,015,314,743,626,436,732,076,267,075,713,582,494,973,318,
374,937,118,288,642,943,877,115,989,743,747,790,353,770,032,576,717,609,461,
152,461,334,492,625,279,976,822,571,481,203,627,567,441,928,924,644,781,602,
456,776,682,900,763,071,500,666,203,011,196,966,891,315,822,316,883,646,015,
550,149,986,500,662,175,251,067,185,087,521,881,727,498,203,155,884,700,444,
673,504,986,429,284,633,751,818,983,379,642,274,424,253,939,944,708,387,361,
786,122,886,645,127,383,280,167,766,063,940,295,278,137,834,372,144,616,419,
596,042,305,464,147,906,433,539,622,109,042,503,402,980,602,999,318,926,459,
916,146,901,574,702,497,426,221,674,932,854,976,880,913,696,913,573,172,486,
108,974,155,946,511,850,903,429,096,669,035,854,420,293,356,358,946,880,868,
888,286,497,624,834,431,421,929,490,522,977,703,079,443,680,996,493,513,589,
507,603,475,164,520,398,803,257,339,510,954,408,132,443,408,290,662,447,145,
945,829,494,221,977,602,493,662,073,024,103,404,650,855,533,913,624,795,072,
760,386,034,307,524,906,866,123,291,909,772,215,151,503,306,224,914,139,791,
442,804,548,196,333,544,831,143,925,951,128,341,821,622,741,009,447,463,485,
736,950,834,264,853,939,429,513,138,452,343,005,659,870,104,557,275,882,545,
653,960,773,746,132,902,784,751,062,689,525,689,460,424,260,319,383,503,285,
944,546,478,021,729,827,515,227,652,122,740,969,904,407,658,207,289,112,758,
920,047,457,738,221,055,722,129,935,602,382,433,962,338,831,114,463,065,306,
428,142,716,575,611,631,841,120,095,502,551,546,958,963,285,733,017,389,599,
095,848,682,136,021,524,395,830,727,821,599,860,458,244,188,146,052,575,677,
229,481,543,298,547,665,895,957,329,558,445,934,280,030,185,410,830,148,175,
317,298,882,938,018,311,829,612,958,195,316,250,182,251,067,448,898,587,153,
090,876,646,873,508,839,011,885,469,592,813,978,940,237,519,462,589,847,454,
492,941,601,024,339,988,074,152,342,474,843,000,523,823,228,151,182,652,646,
026,247,501,505,331,502,237,809,539,846,053,987,706,519,149,587,742,330,062,
195,258,199,599,198,389,951,606,622,112,087,942,698,154,945,940,311,011,090,
929,954,206,937,401,852,521,463,406,920,574,213,442,869,002,474,567,565,699,
883,370,251,373,284,071,091,308,425,024,100,745,852,189,730,647,825,530,550,
072,725,806,664,704,753,479,819,953,693,858,284,528,122,023,134,903,714,779,
518,376,649,413,500,504,807,038,875,607,711,424,162,671,282,457,929,217,533,
319,323,492,583,699,693,996,357,564,194,240,716,524,069,877,133,648,618,389,
271,814,322,486,044,168,982,653,531,902,288,222,786,068,984,477,332,330,490,
262,563,816,423,221,136,713,961,181,044,949,085,220,695,034,898,793,399,569,
947,736,582,364,970,832,896,753,511,692,669,806,201,344,166,212,336,960,869,
887,037,273,635,729,711,352,435,870,659,462,065,890,596,358,900,524,779,140,
683,005,354,731,344,333,790,443,994,561,560,770,206,473,595,010,089,977,815,
235,288,985,643,897,614,649,435,490,049,298,504,541,176,619,456,202,121,969,
577,445,649,850,896,261,601,437,762,953,932,301,618,593,768,544,591,851,431,
005,988,460,436,691,244,206,816,006,115,143,557,270,061,776,748,333,216,809,
216,954,347,941,947,704,918,124,182,307,222,104,209,282,741,306,665,958,365,
233,860,870,391,093,001,805,246,284,585,065,384,400,457,420,269,709,639,179,
253,918,932,671,643,497,867,960,644,924,701,286,030,922,720,342,962,419,481,
471,604,179,326,081,373,651,662,518,868,127,644,547,874,156,193,950,025,066,
982,939,618,106,975,478,589,562,082,043,073,462,134,447,650,447,612,451,828,
920,228,667,214,064,558,532,918,464,297,601,128,603,712,285,142,744,230,910,
459,901,118,331,183,849,087,787,116,734,919,640,360,240,761,849,131,971,733,
671,989,554,267,863,421,900,279,028,261,580,577,375,391,853,742,705,503,640,
780,724,949,181,336,406,360,884,113,441,982,514,960,637,040,757,836,682,126,
823,226,492,960,545,433,973,073,581,854,056,901,745,435,916,911,350,559,651,
584,092,327,297,994,348,160,170,595,051,076,876,574,695,319,674,218,042,487,
756,571,331,167,510,193,169,577,593,264,552,316,518,330,962,019,089,846,326,
891,749,756,757,005,015,002,373,437,096,970,300,155,705,263,227,588,433,184,
247,823,335,054,190,582,291,401,062,757,412,328,520,425,483,305,129,748,276,
328,834,159,066,023,608,183,158,812,005,714,828,615,157,940,571,737,830,537,
962,729,319,365,626,251,576,115,972,883,758,457,897,356,184,986,530,497,255,
344,687,132,864,655,046,169,040,706,089,688,476,469,967,742,859,708,687,967,
473,693,796,210,022,727,763,795,622,942,192,060,751,226,067,648,690,973,373,
647,615,709,216,065,798,047,772,526,583,957,969,071,708,937,164,634,428,268,
618,249,920,076,728,936,662,634,764,046,125,324,843,565,954,296,867,412,685,
377,942,976,471,317,487,834,591,276,059,664,462,067,217,411,661,725,697,445,
610,832,803,594,461,830,779,013,132,996,964,276,733,303,297,689,945,968,600,
669,052,982,553,780,485,031,631,401,338,328,638,167,669,720,739,461,612,089,
220,382,229,117,344,323,456,675,925,646,186,492,189,994,422,378,348,332,726,
148,499,395,576,550,937,560,006,225,095,705,615,019,156,979,831,375,966,032,
894,342,403,852,903,855,985,115,364,003,005,449,432,568,203,691,952,031,669,
147,811,226,130,107,831,650,623,993,878,820,348,416,415,290,505,367,385,160,
351,894,968,721,841,215,513,189,534,614,351,358,895,664,534,687,050,140,192,
232,368,313,849,590,700,076,872,319,977,925,111,333,064,061,066,835,085,899,
723,357,379,059,425,990,978,206,073,697,268,993,866,105,830,645,770,819,174,
951,438,461,551,030,680,364,320,397,598,270,106,232,429,800,626,713,108,482,
484,116,809,732,749,438,308,596,788,683,937,010,486,154,978,502,202,210,999,
508,853,917,275,290,137,633,421,756,183,283,072,273,923,572,765,578,951,262,
834,375,614,403,021,451,427,666,942,121,457,183,284,797,795,508,007,657,253,
703,345,778,144,898,694,798,662,774,078,493,975,116,448,289,524,887,534,644,
295,976,101,424,040,327,385,771,414,747,754,465,811,674,752,408,795,833,517,
913,869,964,186,868,641,979,053,979,043,590,007,181,097,186,454,698,206,801,
255,657,355,612,388,610,976,026,734,845,284,592,526,003,081,791,671,058,564,
745,779,797,236,021,329,003,178,330,816,372,130,672,710,845,229,965,065,423,
854,026,995,361,445,634,010,841,206,246,925,669,550,766,765,558,965,767,993,
227,002,519,975,340,650,030,573,790,852,460,445,195,675,128,649,134,024,670,
350,872,928,483,950,169,582,861,023,222,532,385,418,379,823,175,575,706,679,
781,610,509,750,861,792,488,517,957,697,103,421,422,861,344,035,203,383,864,
298,831,625,849,347,293,676,962,639,710,530,986,298,240,875,267,640,607,106,
291,876,506,090,798,091,179,510,386,742,362,460,454,229,087,484,925,546,153,
819,518,498,237,100,373,508,436,536,011,390,864,758,868,096,679,084,714,006,
314,666,638,032,729,834,596,342,518,495,585,951,545,860,085,341,006,657,380,
057,485,892,441,349,802,491,216,289,188,501,884,044,482,678,812,159,568,293,
674,025,548,093,708,414,261,249,091,099,653,552,308,178,101,685,965,823,385,
230,293,852,697,494,377,254,404,090,809,432,131,733,314,060,452,774,900,901,
632,845,421,206,960,957,101,239,509,122,651,308,802,029,409,886,594,983,962,
852,470,709,156,201,525,166,336,908,034,896,268,280,365,785,451,075,275,991,
021,590,218,968,642,025,987,861,395,510,831,130,803,776,191,552,967,960,980,
981,130,939,197,072,568,459,953,611,942,831,600,290,964,246,817,491,735,050,
867,860,834,616,728,195,925,106,898,888,314,239,866,335,474,577,502,331,918,
430,773,109,519,305,014,425,385,646,899,260,571,482,691,218,149,233,004,999,
520,854,549,092,095,092,711,507,178,193,227,713,565,612,266,701,135,291,767,
193,529,854,751,716,569,189,778,312,384,564,234,870,401,557,323,304,295,153,
558,973,140,020,108,207,836,223,493,216,734,200,266,165,103,162,952,907,196,
171,227,988,958,340,200,625,717,163,107,179,038,293,591,752,368,701,893,343,
517,918,726,794,682,955,504,531,224,037,272,195,184,834,978,107,794,697,920,
760,234,339,867,328,085,515,558,098,221,244,808,453,658,519,981,244,408,180,
542,431,063,766,197,318,896,988,647,085,971,191,535,004,157,287,946,574,212,
838,793,491,725,005,986,390,410,117,819,887,242,338,313,884,914,104,354,428,
196,794,763,449,388,574,380,651,777,741,843,338,548,225,617,667,222,974,825,
184,804,490,103,750,584,758,150,361,161,408,033,362,573,900,853,407,836,552,
499,895,209,660,309,405,867,805,856,301,316,869,084,064,234,653,984,072,602,
238,970,254,157,208,327,826,821,056,586,170,231,673,298,357,147,218,925,507,
019,815,242,963,932,483,292,207,080,784,867,376,018,895,225,441,442,734,232,
334,076,752,738,614,171,213,869,317,139,379,358,400,392,015,879,288,357,335,
688,151,465,936,042,973,245,975,888,986,607,952,086,353,882,155,873,535,487,
370,097,053,787,690,101,805,099,427,378,963,385,023,042,412,109,853,643,650,
054,078,414,064,874,725,878,631,294,579,043,227,761,185,384,417,206,599,715,
147,983,527,958,709,820,963,560,450,289,045,967,472,858,834,390,961,303,451,
768,181,437,459,754,623,921,543,980,766,794,715,873,117,499,194,497,724,542,
406,159,560,852,820,317,026,398,659,583,569,949,950,934,265,243,168,970,801,
994,278,701,613,460,708,022,139,205,919,872,728,575,707,894,062,239,378,467,
309,976,371,457,716,504,395,708,592,270,623,286,367,455,312,579,172,068,816,
163,546,581,365,125,655,107,441,493,887,544,702,272,405,605,705,026,496,356,
660,955,585,310,666,275,295,782,378,326,713,457,481,383,323,432,770,771,296,
690,119,293,253,643,736,452,427,969,843,411,358,178,998,606,953,793,944,420,
974,546,112,474,085,959,762,586,651,647,552,763,979,545,644,704,688,114,301,
445,289,610,624,256,708,802,508,131,825,650,595,489,769,190,399,023,233,276,
728,567,063,935,221,805,101,625,343,532,875,966,318,941,210,794,985,427,132,
854,653,391,721,651,185,483,901,530,982,999,249,948,027,828,945,135,058,741,
130,238,117,240,677,615,961,272,120,451,938,586,110,269,466,369,036,175,135,
442,192,914,661,384,841,908,059,720,242,645,192,157,721,143,070,054,758,305,
593,970,430,173,509,019,637,502,673,582,773,579,844,038,821,223,786,891,684,
721,639,613,222,008,082,149,042,995,550,080,118,091,723,054,822,083,338,769,
636,409,090,289,217,776,497,237,829,306,859,030,916,015,453,147,842,132,532,
782,420,773,437,844,002,616,752,173,630,777,709,953,042,919,757,884,452,600,
206,785,488,450,417,934,255,702,676,675,471,771,322,201,999,574,060,527,356,
041,646,335,716,226,229,793,124,895,304,327,939,401,923,858,619,995,420,420,
522,141,189,893,134,212,209,902,447,774,447,680,245,032,103,802,732,731,252,
492,764,515,017,685,931,299,796,199,377,223,084,079,596,038,144,490,689,920,
658,272,828,936,015,330,852,945,101,594,985,355,990,003,282,393,588,108,808,
096,640,670,004,950,624,840,942,045,828,171,612,118,732,377,634,103,570,008,
050,433,942,825,885,508,548,104,050,260,880,422,954,528,462,839,395,407,400,
988,934,811,584,553,303,846,130,951,229,341,077,856,048,123,917,621,269,920,
227,388,206,750,682,877,936,377,099,874,942,067,199,932,626,403,627,521,025,
081,594,621,347,337,961,402,172,658,040,289,192,883,012,885,696,635,614,761,
462,656,907,596,285,142,340,332,616,456,768,460,277,601,178,760,197,532,916,
908,250,472,710,641,791,071,941,809,316,365,386,347,024,845,300,645,100,896,
518,800,671,771,292,237,511,623,064,682,521,763,131,052,131,441,370,108,540,
651,108,226,639,921,959,985,057,617,477,851,980,717,245,027,036,946,620,669,
781,791,352,929,569,292,833,613,204,449,392,400,018,802,113,521,530,212,935,
051,263,746,959,041,476,401,880,124,400,412,162,268,985,408,554,632,890,713,
380,454,196,042,852,570,117,388,453,390,330,721,668,034,404,037,197,235,201,
662,218,436,594,637,115,881,187,593,476,287,415,136,336,487,804,202,294,936,
688,643,627,380,059,210,171,609,402,512,256,169,241,099,887,259,715,225,743,
823,028,617,274,614,821,209,589,425,726,558,129,168,094,781,969,386,593,313,
197,887,341,888,567,830,324,630,424,625,391,161,759,773,033,875,643,840,502,
342,569,793,444,390,464,388,891,646,064,712,394,790,846,668,039,152,545,141,
870,411,741,367,142,823,403,835,667,729,544,113,857,398,818,112,422,957,151,
211,437,870,495,196,656,726,647,255,368,402,867,838,650,376,575,703,933,721,
254,546,517,680,491,218,326,969,167,829,005,792,903,402,594,516,139,775,431,
735,626,295,391,855,320,920,156,698,779,005,638,369,490,949,231,153,635,062,
379,453,598,761,996,165,571,561,658,657,478,134,607,913,919,224,924,107,964,
839,051,412,285,114,168,248,666,769,573,475,624,991,979,541,968,732,251,019,
435,181,461,420,951,828,606,349,784,260,058,532,486,946,172,513,005,599,872,
385,484,656,917,436,115,990,131,526,106,568,820,737,786,416,990,531,996,300,
658,288,935,540,195,700,960,788,101,854,541,059,389,978,848,536,096,319,449,
601,499,658,817,867,292,836,666,488,032,959,067,606,504,446,924,258,891,111,
569,203,458,859,126,834,372,048,452,177,001,344,305,226,266,196,803,423,999,
940,265,741,764,900,331,767,162,631,462,136,894,653,272,421,499,479,395,405,
775,934,044,704,099,268,431,918,269,039,045,393,761,919,847,899,795,785,565,
300,369,948,414,129,582,001,253,784,336,588,454,306,454,574,716,476,039,805,
042,314,634,176,742,034,621,357,212,712,533,964,141,400,356,832,437,304,301,
218,076,152,203,935,969,887,537,111,988,999,853,488,485,042,770,444,595,176,
047,287,033,670,897,080,676,510,923,451,767,583,189,625,394,507,249,463,035,
679,837,161,365,238,440,234,124,805,422,241,053,619,389,711,928,345,072,487,
360,941,227,845,171,777,931,804,210,483,048,829,864,016,563,838,245,491,990,
064,221,473,315,661,925,677,836,684,526,338,060,573,803,244,050,322,796,247,
214,059,813,938,813,438,748,216,439,350,157,182,865,946,542,163,299,119,388,
584,038,205,470,603,707,159,849,912,788,394,955,791,042,716,715,772,468,220,
209,286,301,207,686,990,399,156,741,487,269,023,904,858,060,882,315,755,051,
349,782,343,128,799,851,929,207,025,435,453,504,434,551,547,083,937,920,882,
724,264,563,502,891,551,324,515,945,228,766,027,677,016,240,993,679,551,908,
696,217,734,776,345,949,896,933,007,365,104,479,500,020,285,915,737,299,248,
909,244,485,068,287,495,225,715,901,427,048,318,830,997,648,405,954,454,873,
174,962,515,369,714,330,602,994,565,302,314,657,741,200,677,598,281,941,067,
178,901,013,551,149,445,046,476,973,425,756,410,309,345,591,184,518,401,607,
135,269,803,066,774,968,333,091,143,789,288,230,094,792,844,987,934,082,419,
663,906,014,130,635,918,258,095,263,377,112,970,028,325,986,463,659,179,103,
568,599,630,821,998,163,570,877,565,584,967,739,965,208,073,893,422,694,265,
260,703,306,586,538,610,559,875,904,511,638,993,157,248,762,271,200,876,901,
095,680,660,384,493,354,328,571,215,246,744,741,875,873,848,790,339,813,013,
181,527,099,148,198,639,418,804,349,336,568,245,475,453,863,091,684,987,255,
313,752,474,364,530,540,241,428,343,788,564,131,453,405,771,360,505,441,792,
629,624,061,697,680,283,404,050,370,388,752,601,581,206,735,039,556,400,901,
919,408,533,541,243,936,712,051,697,580,483,202,295,176,441,591,874,480,762,
579,121,609,289,695,052,969,348,876,081,346,184,425,036,437,257,901,264,953,
580,375,054,979,101,093,059,851,480,165,517,203,358,824,216,936,194,741,056,
242,214,070,495,903,168,399,941,838,758,949,359,358,134,930,913,742,359,665,
838,335,499,439,537,908,212,981,011,968,993,076,484,613,032,717,529,608,835,
381,730,367,830,705,128,292,254,908,212,530,194,307,624,414,600,094,604,148,
892,301,489,794,654,539,311,413,796,896,228,723,324,843,469,126,081,339,941,
353,389,540,756,788,132,815,232,669,851,207,691,130,420,521,250,464,277,108,
662,529,677,483,655,493,926,069,807,741,276,815,277,971,118,385,425,383,303,
745,547,013,249,229,873,142,659,328,576,296,875,060,430,222,018,096,588,583,
862,992,989,868,897,612,728,325,472,058,363,812,882,582,206,449,020,021,907,
516,276,437,552,609,514,354,147,550,531,115,647,202,302,862,632,349,466,813,
639,362,738,314,452,877,708,610,657,939,667,554,717,113,677,594,328,290,083,
494,706,794,276,812,257,510,406,300,848,465,609,832,196,618,196,968,537,908,
333,174,347,751,656,901,643,818,536,429,436,579,106,751,849,778,416,449,815,
907,300,744,400,422,903,165,514,337,846,132,933,756,436,517,981,325,545,483,
539,451,803,354,861,415,015,380,626,157,532,306,903,480,433,375,691,174,028,
037,432,656,122,339,749,888,004,897,930,191,132,839,996,037,625,133,712,605,
733,530,119,372,945,837,033,932,600,159,616,163,783,669,666,712,410,922,427,
731,643,167,263,181,119,653,755,489,042,292,179,872,414,760,833,584,576,662,
680,154,000,192,679,108,159,067,955,145,404,118,212,484,512,831,798,455,505,
324,703,289,147,500,528,036,696,806,027,914,012,043,534,895,080,512,794,783,
918,372,063,813,430,781,631,300,293,837,940,628,914,503,633,827,655,237,505,
287,479,190,581,014,272,248,373,238,291,089,946,393,940,719,640,740,873,835,
188,312,857,993,649,541,704,017,889,129,812,864,087,241,314,854,217,527,194,
512,364,773,870,582,682,567,940,326,337,651,992,605,944,208,185,513,611,457,
621,179,164,572,700,437,028,052,307,930,698,534,039,574,256,016,838,626,373,
373,994,727,517,798,009,436,733,594,631,984,405,901,792,388,089,463,391,267,
827,398,064,246,102,483,555,228,773,839,551,920,962,582,449,196,030,519,782,
736,512,144,663,513,973,325,734,904,415,495,519,520,503,256,232,036,499,817,
475,193,687,529,806,751,502,250,910,386,618,453,717,018,634,973,574,417,001,
492,948,394,161,570,322,846,436,328,964,430,136,365,042,790,399,921,632,418,
668,370,459,699,621,627,504,908,076,704,603,372,863,622,169,696,540,230,807,
223,643,184,225,951,960,813,645,327,412,355,969,042,970,821,422,035,964,519,
496,018,648,732,812,046,291,900,335,068,315,268,993,810,813,794,416,329,819,
066,540,805,739,794,506,798,527,221,957,238,648,409,723,039,718,901,169,662,
574,596,659,821,817,847,018,820,901,579,667,595,573,867,804,940,204,878,763,
972,596,190,812,976,285,651,506,269,698,845,616,055,613,668,194,955,571,995,
073,653,980,416,962,219,589,872,628,076,301,417,767,641,759,321,337,194,411,
830,085,474,414,157,425,162,777,463,199,489,959,317,006,705,001,952,975,788,
264,706,440,822,705,573,305,831,502,977,630,866,363,653,044,299,476,665,472,
461,792,553,511,378,876,996,400,501,814,607,500,213,068,304,072,968,457,531,
805,184,453,518,721,098,027,315,052,170,428,718,322,860,561,713,158,196,251,
632,793,525,260,344,705,842,904,198,621,174,279,629,445,131,650,314,825,528,
046,426,775,232,205,803,250,608,540,472,941,484,026,546,084,753,735,609,139,
909,499,451,900,589,753,433,743,713,369,920,287,526,615,983,745,718,193,207,
254,287,651,788,257,673,559,420,708,120,849,346,954,517,820,478,333,355,193,
415,845,671,958,406,281,421,421,557,932,109,580,735,241,782,909,417,333,728,
177,299,913,556,258,696,045,404,633,918,156,856,555,102,651,142,959,018,045,
840,877,859,580,621,446,271,783,741,871,225,456,754,315,906,889,075,754,607,
014,766,005,076,155,588,586,870,691,263,813,774,353,819,362,102,533,509,194,
528,772,231,928,377,204,313,157,538,383,310,931,704,000,878,313,929,332,136,
862,445,209,347,561,829,515,756,549,620,995,039,637,801,015,431,006,103,743,
650,771,445,197,230,631,675,512,314,498,808,300,972,107,286,157,859,550,929,
781,997,504,706,167,758,199,412,392,680,219,861,581,308,166,871,374,613,745,
086,018,540,035,472,040,355,160,347,001,443,041,755,549,097,534,654,886,086,
841,463,443,651,886,956,540,503,771,135,743,979,597,408,710,045,265,856,067,
430,992,860,489,378,773,180,108,654,755,725,672,368,569,597,773,135,223,663,
548,512,780,877,959,136,211,360,215,387,352,607,586,210,353,141,942,564,500,
596,061,082,469,632,614,194,560,598,052,502,607,654,482,303,636,421,232,705,
853,778,293,179,400,207,672,633,526,051,997,383,688,549,667,059,184,096,841,
209,589,132,396,688,879,873,839,869,637,149,012,946,432,400,187,596,013,408,
698,234,974,159,807,337,026,827,625,390,610,139,416,038,513,816,091,102,563,
670,543,294,178,106,612,265,723,572,536,730,662,843,473,376,229,130,630,503,
666,163,635,160,290,422,370,780,277,822,064,495,529,717,084,270,400,076,016,
224,511,826,710,546,235,463,522,332,958,721,443,557,650,033,120,020,127,968,
157,000,633,085,888,018,452,695,096,424,817,678,022,986,417,036,354,412,132,
135,935,436,696,878,503,742,946,353,799,581,003,746,280,406,922,556,182,907,
609,753,596,217,699,920,295,569,510,060,578,380,749,786,800,174,724,496,484,
088,397,855,655,069,796,863,176,824,372,049,730,529,869,996,414,564,547,106,
623,560,904,235,527,042,376,383,603,464,625,105,391,286,893,531,054,106,672,
675,875,207,506,803,404,392,768,545,350,925,774,538,884,214,859,944,126,581,
360,487,298,014,480,286,295,881,118,536,450,918,683,374,346,597,048,272,990,
708,612,895,975,627,134,198,357,523,103,694,472,913,678,304,415,756,726,740,
873,292,975,351,863,993,118,812,677,790,524,354,260,757,289,422,630,288,805,
665,613,993,102,112,425,646,635,111,354,243,225,818,670,802,666,314,456,556,
740,378,591,115,296,590,977,256,222,899,563,823,946,402,816,315,279,564,713,
997,516,622,594,291,547,384,594,665,633,533,307,702,877,330,290,534,690,984,
731,181,418,953,967,150,142,506,233,803,472,719,130,667,763,868,124,926,861,
180,779,670,643,130,783,368,124,832,879,133,528,905,261,691,782,262,983,190,
783,349,439,778,106,216,975,617,305,669,052,973,511,684,177,431,321,077,429,
827,001,402,405,187,858,231,342,098,888,991,740,676,614,630,551,584,862,029,
786,985,759,834,367,201,214,421,129,423,578,629,886,713,828,605,313,293,743,
447,283,227,275,455,436,684,762,790,930,534,743,160,152,710,513,137,035,210,
437,846,507,997,093,645,856,318,395,860,389,860,127,301,756,972,159,129,060,
497,707,035,822,735,125,154,864,235,469,586,028,649,611,708,668,820,592,730,
259,072,493,296,629,908,725,869,722,394,665,166,527,245,543,649,901,056,519,
255,991,374,259,667,700,195,636,085,850,484,645,563,252,994,399,763,709,049,
365,721,743,519,130,457,522,534,463,302,185,702,621,939,344,177,233,314,302,
114,822,618,081,762,317,941,312,847,061,666,977,155,909,206,430,307,727,815,
518,648,294,610,622,412,871,968,983,286,134,629,612,398,298,963,269,386,219,
780,276,444,496,350,016,357,008,233,642,049,732,522,619,806,654,327,837,723,
164,969,675,243,094,977,662,907,331,748,703,835,386,198,662,464,857,882,613,
036,907,462,856,424,281,827,214,585,193,572,559,446,346,802,960,573,765,183,
726,819,010,295,439,474,134,107,465,519,472,783,401,699,883,416,788,299,189,
419,537,319,657,505,068,160,220,265,046,333,649,318,718,485,119,287,116,115,
880,455,599,053,060,068,544,539,838,580,965,717,345,429,786,812,650,909,730,
717,668,129,497,165,648,581,211,872,872,687,216,157,149,553,492,962,065,426,
614,359,390,388,034,574,830,330,044,912,532,012,152,835,006,232,715,462,684,
919,424,056,534,958,629,599,509,287,676,682,669,421,449,671,528,973,274,435,
127,430,213,137,056,647,612,651,398,927,510,220,360,621,689,774,077,099,293,
978,681,593,614,853,271,860,273,905,117,692,848,848,795,665,271,556,280,061,
894,592,618,118,994,496,752,949,165,405,182,251,052,959,620,095,267,665,985,
617,372,219,362,814,126,139,306,392,563,401,578,309,299,954,055,192,052,843,
918,490,282,555,882,697,447,039,970,418,272,767,957,347,391,971,712,470,728,
622,144,271,406,935,659,147,813,300,294,200,317,906,608,036,821,749,377,780,
371,204,058,382,758,647,070,596,967,784,698,180,595,081,570,892,370,630,125,
291,794,696,511,809,783,428,650,267,964,526,760,779,974,097,256,136,818,186,
492,495,406,212,489,047,834,547,502,330,966,339,106,466,639,267,517,125,192,
231,501,857,474,069,357,462,705,210,410,288,411,330,480,423,203,649,715,522,
115,996,028,714,821,099,555,142,726,462,121,114,308,551,984,114,220,444,253,
245,144,785,861,513,832,326,727,810,682,694,349,972,466,545,700,337,902,706,
098,105,355,994,636,543,113,856,378,825,538,751,726,255,506,283,595,262,023,
777,122,627,632,139,368,506,261,636,511,657,849,421,810,832,873,356,947,975,
352,055,806,314,189,636,288,942,145,622,194,853,481,210,266,308,777,845,038,
953,454,591,974,163,697,573,493,776,636,519,863,621,045,130,746,996,390,273,
046,523,943,365,402,924,282,966,275,708,893,920,015,064,916,681,070,513,260,
375,228,185,938,541,184,176,425,083,817,106,708,689,930,591,670,871,719,405,
763,889,742,318,095,625,327,627,328,688,863,314,535,399,667,473,478,620,939,
278,983,094,996,120,731,132,412,967,575,463,642,515,454,374,407,574,455,748,
241,972,092,681,591,822,622,531,722,724,599,534,912,342,185,988,948,091,940,
765,479,841,376,359,847,367,461,909,707,144,922,408,814,128,747,830,327,855,
339,655,772,250,700,741,911,390,265,159,510,729,273,153,605,655,855,460,555,
436,659,538,693,385,676,012,166,619,199,251,852,434,282,550,447,868,250,130,
680,586,985,454,715,077,327,213,930,302,892,172,288,699,856,997,169,507,646,
180,619,697,356,289,694,052,601,272,786,654,270,395,948,065,592,209,504,980,
341,080,346,926,446,650,185,127,245,498,022,783,780,951,062,377,815,193,560,
180,498,607,024,853,601,385,046,569,986,406,180,562,356,551,445,102,494,057,
075,684,408,084,102,953,034,144,020,797,250,488,890,761,119,780,465,100,568,
126,894,561,236,500,108,705,411,173,991,696,454,915,423,230,900,070,804,213,
249,187,545,490,957,670,220,123,437,618,686,551,113,046,947,927,219,441,490,
216,551,016,363,659,225,958,369,326,397,966,187,706,206,132,900,146,378,199,
328,209,891,532,136,112,409,916,129,887,774,411,752,479,373,849,431,566,061,
870,233,846,141,567,987,497,392,538,655,754,854,552,879,869,573,148,089,614,
984,537,770,961,082,422,277,926,792,116,518,712,857,379,306,337,936,229,728,
693,609,947,810,093,149,833,502,950,835,434,212,180,653,645,843,258,229,343,
188,717,142,926,298,490,248,566,120,277,093,714,063,995,258,867,337,452,306,
776,700,415,811,971,706,271,091,107,744,382,371,646,910,533,448,364,545,365,
697,163,823,001,873,763,156,231,967,055,498,433,874,076,789,929,364,297,405,
116,791,783,161,662,479,337,655,350,444,558,326,106,154,772,320,582,983,391,
769,761,739,852,401,588,830,403,055,023,892,212,368,573,093,056,550,214,386,
533,350,285,984,795,400,805,628,019,955,712,952,343,385,973,887,152,417,001,
539,041,048,152,308,540,089,420,102,263,794,204,404,308,602,458,079,350,229,
093,464,176,567,047,731,791,923,694,933,002,727,324,569,550,307,160,204,492,
245,741,739,355,828,987,532,515,379,585,373,882,306,116,884,784,393,150,112,
638,987,654,095,532,117,407,831,257,421,720,312,274,327,363,017,278,170,815,
095,768,140,716,341,062,208,849,496,043,220,103,393,258,189,672,404,745,151,
819,692,401,477,173,212,431,623,015,904,847,670,618,669,653,930,624,452,725,
105,572,762,749,919,919,050,876,135,514,228,397,532,341,294,777,666,823,814,
623,736,461,136,203,752,688,004,498,075,492,112,701,392,561,145,965,834,209,
994,302,370,790,405,194,345,046,125,654,107,085,977,631,548,674,986,985,273,
929,890,674,089,231,819,321,332,405,066,834,905,707,499,929,094,385,286,931,
164,013,153,498,693,219,460,503,110,445,823,946,632,921,785,103,792,309,820,
901,910,290,840,060,336,628,259,003,454,254,457,485,290,134,008,805,467,043,
540,363,039,396,186,671,809,980,899,708,329,996,445,120,672,573,617,116,841,
858,250,268,613,717,187,000,055,267,375,201,804,151,036,250,734,929,984,069,
111,507,848,747,882,341,757,792,761,176,730,525,131,766,872,312,581,661,490,
234,311,646,527,631,985,829,861,502,094,864,564,302,643,269,897,409,734,154,
392,150,318,024,544,564,443,821,598,731,476,354,585,698,189,194,581,324,318,
450,495,441,322,257,723,115,504,440,784,209,615,324,567,718,900,359,118,808,
573,893,237,734,852,058,361,801,102,220,104,934,601,070,309,028,862,465,473,
213,258,630,425,000,643,518,257,109,920,398,682,977,269,597,620,280,295,171,
321,222,600,580,655,261,375,224,665,642,058,338,690,316,472,827,348,502,471,
811,285,133,958,740,423,534,478,928,708,769,995,138,439,011,155,210,134,551,
589,922,407,170,276,931,857,204,879,004,146,756,706,154,509,115,577,470,845,
398,441,816,028,823,138,945,460,234,805,471,588,763,192,880,839,308,632,933,
777,089,074,519,990,940,114,779,405,658,351,070,915,989,221,970,591,195,785,
017,363,189,595,262,835,970,380,550,513,375,092,852,007,585,034,471,550,374,
144,176,702,496,925,397,913,251,228,741,636,950,228,568,661,189,902,355,893,
006,313,495,943,642,481,258,611,378,711,996,474,232,260,001,185,056,912,654,
967,126,013,746,369,064,242,277,342,166,241,612,064,168,774,346,382,894,772,
152,020,543,206,332,988,344,443,735,759,107,651,356,867,884,019,062,772,812,
048,770,871,070,526,355,181,649,178,255,372,220,041,097,377,228,061,055,082,
152,564,613,153,094,893,276,197,549,477,594,715,248,492,586,435,862,887,931,
067,500,624,655,848,710,886,938,106,167,634,937,749,530,720,818,571,562,864,
072,818,784,680,767,936,819,062,155,973,762,404,269,168,270,904,007,920,070,
753,695,932,949,142,537,570,187,545,676,713,841,912,107,909,537,296,320,538,
546,515,747,742,837,402,619,529,084,587,383,518,092,755,821,400,780,791,895,
226,466,077,528,045,538,550,421,012,769,476,325,005,401,451,712,428,892,937,
647,912,767,902,102,237,698,614,999,024,280,132,599,692,361,637,635,249,332,
240,878,691,372,640,345,896,882,641,055,172,647,495,156,950,063,943,272,307,
392,050,481,132,422,464,277,345,307,389,543,091,213,355,275,750,236,261,839,
927,022,514,537,727,453,859,698,136,736,047,959,949,126,726,801,180,196,486,
305,251,921,675,851,959,154,135,601,636,405,383,887,514,231,243,528,092,127,
178,670,464,906,195,066,425,290,144,067,002,684,194,554,332,644,664,419,532,
042,203,125,105,913,959,359,767,756,105,272,497,406,834,208,563,933,231,953,
586,546,952,927,280,195,212,767,997,810,894,365,628,835,532,877,670,718,767,
924,885,381,287,713,307,404,609,854,096,440,100,898,169,442,718,366,940,268,
580,403,881,961,981,165,435,158,476,764,982,669,216,410,053,440,086,240,189,
535,902,870,972,101,009,393,240,286,722,372,666,122,850,444,174,247,027,503,
008,661,501,238,880,634,175,772,769,222,749,287,909,659,578,271,463,652,570,
192,151,711,518,781,254,884,744,592,257,322,977,981,893,136,272,887,471,105,
921,925,768,682,843,736,883,805,290,855,833,164,759,078,082,368,871,375,265,
848,791,015,994,443,547,958,742,070,825,675,285,800,493,635,996,166,523,126,
297,071,195,100,947,831,628,819,621,602,999,376,008,858,770,878,985,296,648,
231,742,993,430,419,416,775,538,644,294,073,278,881,176,156,178,985,748,713,
955,742,120,682,341,166,224,669,791,157,941,810,721,186,541,421,710,742,258,
070,125,918,257,321,493,031,873,673,677,168,316,994,323,919,698,143,210,671,
010,770,302,879,509,359,366,933,801,868,826,531,951,825,587,739,868,896,198,
837,204,643,224,447,448,200,234,673,371,628,218,071,592,985,738,639,871,607,
773,223,880,840,235,201,888,619,295,372,200,813,537,032,900,775,082,856,001,
762,417,936,890,524,541,186,915,594,015,323,811,996,446,873,542,828,106,458,
253,626,402,832,471,019,622,789,533,282,039,253,615,890,657,742,464,701,594,
362,089,244,315,601,968,253,857,487,453,910,509,286,806,327,183,519,591,700,
362,965,070,342,041,117,476,756,738,361,302,349,044,231,525,856,927,329,953,
918,429,890,907,269,185,414,469,186,555,629,555,537,452,669,736,558,453,448,
672,363,869,971,597,234,525,884,197,293,636,431,657,220,074,791,633,604,663,
699,480,720,050,709,047,922,003,954,883,424,149,344,015,853,939,766,999,820,
771,311,809,858,766,979,280,003,473,077,640,734,261,665,761,349,696,797,600,
843,197,766,543,945,500,439,988,636,427,581,307,442,198,370,501,355,902,729,
335,202,188,055,670,531,754,683,867,626,522,997,402,907,798,910,203,284,121,
250,100,050,161,962,648,902,206,488,256,063,682,371,985,865,241,961,999,099,
828,753,035,390,075,799,651,565,133,564,312,048,016,210,840,504,809,496,459,
711,672,182,464,698,896,901,871,069,334,535,979,947,303,879,822,468,325,919,
079,409,819,355,496,357,618,332,956,045,034,467,332,373,865,916,538,538,005,
764,176,163,845,601,628,305,366,632,786,216,837,759,663,861,294,370,600,263,
985,545,957,013,700,347,098,415,046,820,946,924,448,799,916,042,510,077,719,
036,364,427,456,580,049,065,496,654,170,072,736,734,355,591,737,207,940,996,
817,694,507,995,148,851,954,184,865,414,401,283,652,568,721,765,332,609,950,
299,291,572,775,401,527,454,339,502,670,339,155,468,542,710,967,350,468,176,
274,979,016,448,830,110,323,208,423,892,657,743,757,000,678,207,858,297,167,
992,503,474,195,898,155,434,226,626,705,897,810,662,327,448,661,664,151,195,
551,679,754,233,359,655,069,019,491,040,028,729,945,071,992,984,375,339,798,
130,686,905,774,842,099,691,373,641,959,688,109,157,901,930,769,038,353,343,
746,411,417,462,317,231,180,918,680,011,427,031,341,003,080,894,538,284,798,
294,721,082,255,483,108,435,120,465,082,172,317,122,423,683,714,097,857,104,
436,435,540,180,132,260,647,008,792,623,925,473,217,784,511,787,878,413,979,
462,173,232,788,618,219,485,556,427,250,341,566,880,318,969,507,007,742,172,
133,830,763,383,419,824,384,726,699,471,401,783,380,424,130,778,830,932,246,
527,796,030,506,069,980,575,520,922,551,045,098,494,518,298,863,970,465,952,
289,324,104,332,269,112,748,383,868,544,182,724,614,113,041,766,565,131,977,
792,630,835,345,468,373,526,058,422,640,320,317,322,587,604,532,191,200,311,
319,139,048,578,187,355,788,931,117,712,946,740,954,480,885,851,435,622,093,
021,953,466,283,529,538,980,350,865,022,771,134,264,943,764,156,757,030,180,
549,567,315,368,006,274,971,985,961,937,221,135,156,704,553,171,377,349,396,
025,672,447,650,848,866,524,227,669,678,234,252,205,044,236,831,088,267,147,
067,765,136,649,429,115,504,463,324,593,102,472,263,022,927,632,084,138,050,
230,465,149,703,751,271,584,226,609,291,149,170,793,329,288,698,177,267,749,
033,396,319,982,873,335,979,918,836,255,827,178,408,188,494,970,084,835,050,
013,422,415,866,296,468,017,239,008,438,125,446,578,206,141,747,493,095,994,
357,335,600,535,600,040,024,921,696,708,991,803,942,986,135,147,194,840,391,
369,974,959,290,681,099,986,710,830,155,381,922,508,503,999,403,558,961,702,
329,621,860,016,727,857,527,554,688,310,503,909,825,776,854,422,599,479,308,
000,514,803,269,180,737,610,263,519,576,572,755,775,737,264,235,025,470,169,
686,678,809,283,472,762,604,593,066,173,291,864,243,885,967,929,337,750,743,
595,659,580,437,277,913,837,805,520,514,193,870,502,059,749,101,387,658,775,
783,014,825,092,131,306,639,521,230,662,577,742,048,551,764,040,241,891,575,
764,598,847,378,904,260,046,573,636,449,072,121,671,025,708,774,235,329,731,
358,734,030,030,681,439,461,630,172,518,694,759,781,938,258,230,658,556,110,
308,762,824,412,601,938,834,200,951,405,036,390,556,513,638,171,046,816,242,
950,233,548,509,457,968,112,100,683,976,341,612,792,796,446,129,101,752,896,
972,645,594,755,218,084,944,897,982,382,670,457,310,936,718,521,164,402,141,
594,647,019,469,082,382,605,407,102,706,835,006,762,656,599,375,032,643,017,
999,739,057,340,405,924,138,580,444,708,584,245,137,395,595,410,304,719,740,
743,090,097,725,753,890,261,240,796,652,450,988,986,555,233,443,946,182,690,
120,959,138,244,286,457,134,401,476,334,318,026,566,603,324,698,916,462,042,
468,536,813,874,608,668,432,020,734,007,966,393,203,115,940,164,632,016,333,
885,722,501,687,166,509,021,984,266,131,845,961,042,956,045,514,151,125,802,
461,808,934,738,625,098,704,992,365,616,955,906,797,456,484,846,691,200,632,
099,413,006,033,024,057,197,685,924,382,928,091,592,903,192,531,420,604,389,
223,226,611,617,839,815,797,798,431,331,112,081,115,114,782,582,401,970,461,
046,774,535,744,662,951,342,473,792,190,062,280,802,779,504,012,259,815,574,
119,625,078,727,530,136,800,455,834,702,350,675,279,729,833,793,493,964,413,
766,478,991,182,017,126,638,835,245,737,178,462,675,043,915,106,460,517,238,
408,721,563,218,666,951,392,288,062,734,548,038,025,225,398,139,137,195,933,
707,192,340,462,393,905,878,302,724,234,392,573,009,998,136,377,300,036,837,
517,825,956,257,634,418,173,394,600,643,331,912,866,052,911,481,312,529,856,
603,279,878,346,003,306,913,187,665,243,792,633,381,823,994,907,365,204,227,
595,137,654,147,125,773,785,854,877,497,832,237,799,119,010,058,396,868,957,
146,977,348,833,133,223,632,781,317,775,311,931,909,093,864,860,095,979,602,
641,289,887,268,186,401,072,654,452,073,367,821,823,805,895,826,020,642,746,
057,626,078,939,529,383,335,914,680,357,618,461,475,764,273,572,564,949,809,
657,701,286,352,586,926,805,103,199,420,776,874,404,681,305,304,214,990,407,
418,493,235,898,181,803,890,588,913,486,778,503,128,739,256,198,795,194,238,
410,241,661,077,294,366,853,765,694,993,234,259,102,451,852,215,546,550,200,
652,246,176,862,011,817,495,318,618,032,466,749,214,497,402,853,145,967,745,
545,580,789,262,643,252,119,553,200,443,962,373,973,062,856,505,256,330,016,
615,129,574,477,765,933,626,451,951,700,075,167,980,535,283,284,908,707,232,
649,929,475,675,480,387,610,682,652,406,857,214,111,230,043,409,855,759,485,
841,192,854,938,304,277,810,546,814,158,184,704,876,751,942,206,739,498,702,
737,974,879,732,615,049,235,245,233,473,605,360,169,482,647,689,074,635,141,
853,276,452,449,405,495,181,810,942,180,199,700,173,183,611,005,557,870,933,
863,504,217,937,330,596,547,353,751,146,242,250,826,754,916,116,421,438,766,
550,206,291,257,406,303,120,681,261,489,711,032,960,060,713,673,607,459,948,
377,044,428,090,684,796,804,129,018,209,432,009,816,208,896,734,424,927,538,
875,521,353,018,287,147,028,291,396,697,390,982,228,422,577,689,428,294,065,
646,806,950,912,956,097,514,263,408,447,213,363,855,862,032,520,902,206,407,
331,943,534,335,387,001,983,781,991,972,286,122,378,778,342,215,397,533,470,
684,295,156,158,709,416,893,208,379,584,558,035,713,085,097,089,230,972,381,
186,035,252,604,797,627,671,873,090,190,069,019,785,252,923,641,497,460,072,
320,325,050,989,497,896,535,149,470,589,281,726,055,007,893,422,928,101,899,
112,806,653,170,752,547,754,398,900,844,130,771,085,252,226,876,515,909,084,
984,717,970,115,959,876,579,109,553,171,099,691,783,649,817,424,103,612,486,
035,579,668,212,819,733,571,506,959,505,192,728,210,705,600,714,620,494,614,
513,189,831,567,267,752,902,919,110,715,087,840,792,403,870,109,746,898,364,
215,045,016,648,050,776,852,831,446,755,957,275,131,567,064,805,894,651,724,
376,890,397,330,369,172,368,573,269,482,191,983,671,491,534,680,839,063,995,
577,659,501,455,859,556,174,543,199,356,157,036,790,191,384,657,262,151,332,
919,665,861,934,146,012,552,658,809,641,358,019,667,874,963,913,935,658,143,
903,227,615,860,477,971,653,817,813,345,063,280,684,662,410,620,538,576,510,
405,007,066,844,847,886,523,621,140,285,205,519,999,635,252,632,957,337,631,
193,277,553,787,012,634,898,381,639,907,498,487,822,286,056,673,713,231,029,
000,995,282,336,949,233,434,554,958,464,113,053,655,936,183,346,589,035,009,
266,709,832,880,157,436,667,749,141,964,372,379,483,937,680,910,187,837,956,
863,657,786,236,241,508,008,574,330,064,262,219,470,172,775,927,443,452,142,
406,934,109,921,506,707,838,948,825,459,683,844,993,142,884,344,034,202,680,
211,538,773,009,015,834,317,948,530,214,326,675,859,663,517,319,178,295,350,
258,726,951,229,436,975,987,816,962,648,270,484,068,410,030,737,320,518,918,
427,446,022,505,793,446,484,588,366,378,094,515,568,081,559,506,357,564,476,
389,093,282,477,353,024,285,499,883,598,797,348,752,053,000,265,962,315,920,
030,402,587,377,036,319,766,670,246,927,774,330,752,105,082,846,992,912,003,
144,012,462,642,586,785,072,885,666,360,708,109,674,784,911,387,040,958,325,
759,957,464,495,767,772,729,013,071,341,203,620,854,430,941,083,406,258,320,
238,726,072,323,957,490,540,852,349,670,819,950,665,576,520,480,761,242,843,
600,601,269,809,614,274,277,072,332,316,614,383,946,392,415,966,657,486,922,
013,541,005,654,610,673,048,758,686,122,391,580,956,616,497,246,205,599,486,
748,240,837,573,414,830,439,600,450,809,329,170,428,444,761,499,361,702,548,
359,991,135,457,250,854,027,563,111,853,869,633,074,505,211,628,029,612,748,
397,969,540,625,344,311,817,318,916,071,744,156,084,364,358,049,124,778,283,
085,033,005,152,610,096,381,587,403,341,007,010,500,229,768,521,932,836,474,
711,045,541,817,809,607,847,107,797,511,287,731,311,064,840,392,692,432,112,
837,320,106,510,393,808,956,401,645,274,754,726,723,155,281,196,447,307,187,
958,277,658,546,474,224,804,207,205,710,273,391,913,913,011,203,436,394,163,
869,346,233,908,980,267,688,722,180,386,192,686,864,734,023,374,295,936,724,
421,244,153,226,683,065,764,145,872,335,937,610,962,676,696,413,679,886,703,
462,522,848,413,509,954,236,367,306,106,143,003,184,740,779,189,491,931,045,
855,707,797,916,368,844,394,809,382,106,807,276,380,624,464,456,772,513,394,
036,503,428,107,750,132,594,354,077,506,825,782,051,152,099,082,325,000,215,
039,015,869,456,758,782,677,716,990,320,493,527,240,820,905,660,088,728,255,
207,184,671,166,705,387,719,209,815,159,048,498,327,441,220,275,822,015,601,
135,597,648,235,693,824,143,838,789,987,179,688,148,090,812,400,544,170,049,
283,329,489,477,558,571,595,714,678,430,395,811,327,456,960,606,767,700,527,
440,025,399,689,617,589,792,295,769,557,575,305,684,941,361,998,378,735,296,
350,420,176,445,745,674,538,158,575,303,220,484,616,721,061,827,025,388,575,
363,354,130,045,718,957,923,630,234,590,948,974,194,025,010,182,813,789,872,
243,376,330,136,416,728,252,418,199,963,446,816,204,311,552,437,854,359,442,
299,386,447,515,458,389,129,569,875,219,992,828,512,560,856,681,889,361,933,
360,135,634,588,632,510,949,247,406,148,790,278,695,209,552,960,567,047,266,
010,475,807,404,860,791,665,486,620,056,303,263,112,464,160,319,750,996,704,
014,999,770,871,632,344,327,256,856,060,520,097,812,817,567,920,615,312,347,
385,241,120,124,203,725,078,308,748,356,199,271,382,750,061,623,996,891,024,
147,881,484,875,066,753,325,432,923,692,548,889,009,409,808,574,011,700,009,
090,236,759,686,004,058,120,759,510,160,073,481,704,780,728,127,727,682,729,
008,772,625,210,667,602,845,561,506,267,647,917,240,447,850,228,269,637,013,
646,669,798,495,350,949,534,737,734,296,666,091,186,970,482,816,597,351,556,
449,936,369,794,223,032,665,468,668,920,429,145,236,075,735,791,726,639,306,
764,490,882,213,365,474,400,667,181,818,963,723,158,131,087,643,766,523,732,
246,397,988,072,478,855,378,952,039,486,923,980,347,331,899,349,479,342,396,
425,084,086,769,251,082,336,650,414,536,181,213,357,300,281,538,331,301,860,
198,684,370,120,721,224,206,503,336,300,312,162,765,303,661,976,005,952,586,
560,790,326,531,250,284,944,900,796,809,308,907,669,088,601,568,739,710,546,
023,142,629,554,472,639,110,324,777,275,410,309,047,140,766,374,052,081,417,
078,337,218,132,283,170,752,469,057,793,843,139,190,478,116,697,209,129,764,
688,941,488,123,108,746,189,311,100,976,448,715,567,286,949,298,295,452,051,
825,449,743,785,221,609,332,553,435,397,614,222,401,348,240,536,362,930,260,
970,852,835,305,576,572,862,055,970,311,772,026,141,065,547,301,358,804,668,
415,435,878,206,110,556,029,124,439,514,084,474,455,842,806,436,070,862,521,
711,621,190,766,109,214,765,973,682,096,366,310,076,499,844,187,658,863,708,
438,729,033,588,490,162,882,687,259,022,792,136,837,939,937,049,000,700,702,
457,201,461,810,199,245,316,921,057,311,474,776,745,354,865,869,661,648,388,
956,233,607,648,175,058,074,214,968,486,230,175,308,514,903,984,266,675,612,
323,142,929,748,442,151,350,176,419,791,901,329,855,294,496,590,495,116,842,
390,705,040,215,292,491,733,532,877,759,909,504,798,834,115,106,387,401,070,
590,679,412,691,347,276,016,999,209,256,386,271,080,712,469,493,439,335,647,
580,607,974,203,567,290,034,583,037,524,217,539,783,337,767,333,710,785,234,
358,021,598,036,943,334,150,552,319,591,594,762,829,992,589,287,054,740,582,
958,927,583,025,820,122,136,175,227,525,230,658,300,165,986,887,351,543,431,
604,903,276,745,260,648,475,051,897,631,003,053,243,009,737,567,107,116,691,
993,516,344,781,877,914,130,326,937,363,077,766,989,461,891,262,029,307,331,
254,450,431,445,451,765,750,223,892,390,654,204,571,480,578,380,220,596,309,
193,833,372,515,670,965,881,810,824,650,147,358,933,881,249,365,368,851,162,
770,706,365,962,837,752,525,976,706,075,660,796,358,364,279,892,216,385,377,
947,390,332,295,350,864,065,166,191,615,532,439,746,178,593,014,674,635,548,
087,575,795,064,344,548,236,193,858,256,711,024,530,214,460,365,610,688,917,
799,617,012,352,325,161,812,801,010,444,296,582,764,158,872,793,007,246,722,
859,856,349,393,133,328,306,223,415,735,299,963,497,927,259,981,562,385,060,
602,767,980,304,210,577,171,630,059,203,530,332,987,209,867,245,288,368,159,
401,031,274,737,993,532,312,831,844,430,986,199,466,733,345,396,369,861,888,
585,290,907,076,783,566,732,325,774,394,026,688,512,541,421,497,278,507,046,
575,903,135,864,903,977,423,878,974,982,189,075,416,953,962,604,157,273,287,
347,612,792,438,256,676,167,825,488,433,655,385,816,825,063,618,268,489,952,
997,638,443,131,889,073,724,856,113,505,309,125,116,590,456,440,199,513,593,
881,627,297,522,998,529,928,309,452,977,188,179,937,305,179,840,191,412,389,
568,785,555,306,379,481,779,079,882,078,704,278,184,077,495,403,137,087,207,
646,766,591,151,910,422,199,166,958,538,541,322,746,458,910,258,927,925,408,
433,080,103,367,487,154,797,300,893,939,107,635,212,836,284,293,300,084,777,
388,768,520,436,695,756,966,787,811,325,269,322,590,026,577,369,435,129,762,
163,410,379,622,073,889,495,620,675,291,017,022,552,617,030,556,666,993,893,
182,357,139,295,555,845,779,168,876,610,041,996,892,117,292,666,925,384,841,
788,204,816,584,377,179,199,890,868,230,476,931,503,909,860,320,499,801,911,
267,968,136,499,761,607,467,722,499,621,910,098,124,017,812,248,720,739,112,
718,736,205,241,661,913,904,415,548,871,898,061,165,264,829,867,510,324,724,
618,284,247,358,222,645,517,373,091,814,538,202,308,167,126,314,821,605,947,
664,646,278,338,042,995,676,486,177,883,704,554,872,557,764,921,375,667,691,
025,933,773,884,291,926,814,562,496,314,909,586,354,052,436,764,347,684,424,
211,110,853,611,110,504,919,260,587,225,926,374,414,145,677,749,318,280,078,
569,083,939,644,952,012,954,190,552,114,908,582,456,285,142,995,334,169,038,
416,532,419,011,831,798,706,298,090,149,170,036,576,762,359,123,886,943,888,
793,935,732,318,587,238,690,115,972,385,008,914,898,425,007,203,908,867,173,
116,631,261,033,546,087,347,271,438,716,633,164,291,279,446,907,760,667,733,
960,332,063,387,674,636,331,210,227,732,779,123,743,441,499,780,365,750,267,
132,281,324,766,979,438,301,118,559,729,434,315,674,156,243,577,203,387,341,
941,840,534,394,074,431,560,412,906,283,636,017,870,229,567,841,349,474,585,
950,870,873,119,128,865,498,424,337,651,002,172,014,332,620,091,995,715,976,
204,030,195,400,238,857,398,814,731,766,022,856,080,081,249,844,371,925,281,
672,381,096,483,982,332,707,362,548,456,442,815,061,027,777,191,411,982,012,
452,697,003,217,392,447,953,158,118,888,409,763,720,610,975,860,711,578,219,
667,863,670,769,606,057,579,898,587,670,299,512,200,275,198,673,559,344,466,
388,263,703,296,402,571,911,586,474,945,132,771,884,427,875,538,238,567,106,
041,049,770,000,530,024,858,680,920,964,080,535,173,919,556,810,918,784,908,
610,758,163,792,974,075,361,882,470,551,222,164,051,225,419,721,602,897,178,
783,370,735,713,948,983,294,139,482,423,617,872,939,242,432,365,010,321,801,
480,982,859,128,068,421,002,319,250,096,385,796,388,599,685,419,137,506,574,
236,467,698,326,010,418,054,752,436,704,213,637,246,712,260,525,749,692,691,
295,215,939,807,149,484,942,984,487,535,539,382,948,560,100,259,516,953,565,
725,458,463,720,868,328,973,110,006,153,067,875,615,432,432,266,102,925,227,
490,380,467,952,779,577,735,671,258,268,387,738,266,516,267,240,082,546,030,
326,437,609,127,381,809,195,239,999,855,451,112,586,128,412,803,982,637,253,
610,276,627,143,066,279,923,060,139,817,470,042,150,814,332,161,190,587,724,
893,094,701,539,070,754,842,463,461,942,281,993,195,190,576,862,770,346,492,
688,056,356,201,402,870,314,606,011,912,032,560,637,028,027,546,685,418,106,
647,173,643,066,942,540,603,323,014,828,736,601,031,601,945,176,250,739,560,
039,752,349,826,079,954,196,659,819,080,793,798,020,070,327,795,020,210,286,
160,642,727,167,552,578,527,414,365,655,494,615,426,720,910,823,722,948,609,
423,610,433,101,088,049,618,909,825,867,957,930,301,304,655,258,682,596,134,
767,896,350,448,857,153,719,245,178,219,002,631,229,722,014,550,805,331,561,
927,470,122,056,773,435,388,421,208,847,838,564,591,762,460,393,412,442,386,
577,836,337,774,708,619,715,743,846,681,185,478,641,632,598,598,550,879,367,
671,777,459,242,473,047,204,341,849,429,901,900,446,266,200,646,168,459,174,
073,116,481,455,850,630,174,793,954,100,720,861,274,646,128,052,282,508,369,
915,913,111,167,683,535,534,988,710,891,847,588,283,104,455,439,938,757,058,
434,689,478,603,089,830,202,719,132,216,685,108,973,024,380,074,131,848,296,
831,238,339,555,411,448,074,264,627,389,574,815,658,366,053,223,526,350,339,
619,598,447,812,682,554,014,011,361,125,142,019,923,117,456,163,824,440,949,
112,248,051,690,612,041,315,397,187,846,984,926,957,858,208,800,047,123,794,
670,705,311,269,985,215,666,551,338,191,754,901,008,849,797,307,207,832,967,
152,074,142,976,493,270,852,962,700,276,498,293,285,856,771,350,524,294,087,
799,967,037,975,600,133,180,342,951,479,688,086,846,482,821,198,259,670,106,
523,996,621,630,839,110,506,490,169,547,204,834,927,584,074,230,223,794,402,
347,438,581,406,240,396,524,791,295,003,833,771,982,012,122,666,632,577,683,
973,215,213,106,369,443,078,799,324,801,888,785,550,131,587,920,829,749,202,
470,992,556,785,778,210,868,860,643,821,747,123,975,498,035,127,927,066,499,
864,957,150,794,674,541,335,382,629,265,411,015,430,322,150,713,503,375,531,
734,696,502,623,376,410,257,762,135,509,407,733,765,116,966,821,591,881,771,
926,846,244,969,889,190,249,312,209,001,066,549,709,071,698,225,154,502,643,
232,256,632,185,264,301,389,222,648,343,343,522,789,115,198,919,191,278,480,
961,947,006,043,176,309,714,138,836,763,360,403,711,165,699,250,158,843,139,
163,951,420,502,370,297,147,272,875,994,118,489,919,877,844,469,562,297,101,
175,672,501,443,828,045,303,113,388,594,853,885,923,856,824,384,083,563,567,
448,199,162,624,357,445,721,711,995,026,703,744,694,623,512,262,682,820,956,
375,474,885,830,907,765,414,600,319,541,577,191,224,341,433,601,325,238,636,
422,794,685,494,405,139,613,458,415,324,338,908,309,221,622,047,076,320,213,
722,615,669,698,103,876,472,781,421,378,076,419,777,470,341,385,070,005,998,
795,674,634,050,629,662,955,784,416,671,951,355,942,302,514,225,046,472,112,
202,468,117,660,550,935,109,478,892,053,999,799,663,747,754,708,998,049,811,
769,826,309,792,228,091,758,331,879,104,724,243,935,602,293,901,855,722,929,
456,379,748,949,792,286,014,980,735,867,487,569,801,930,338,650,642,594,134,
962,780,613,647,452,591,835,019,228,647,990,833,680,535,912,080,428,876,014,
020,571,619,588,603,592,024,164,504,524,707,437,523,821,768,370,791,582,978,
154,926,215,712,256,368,450,024,550,206,903,117,824,304,341,641,003,884,389,
120,326,929,253,728,561,426,667,194,907,207,217,872,855,772,316,942,396,707,
427,402,145,658,755,776,328,397,062,177,433,546,096,142,939,276,369,795,599,
915,799,453,089,266,046,179,584,831,992,415,370,812,602,976,006,893,732,231,
140,546,076,468,203,858,986,521,511,078,504,233,100,810,742,089,769,838,519,
039,739,615,888,143,080,729,473,881,843,584,046,157,754,426,681,070,664,559,
818,996,791,559,277,518,680,406,808,270,246,903,056,892,141,262,152,700,038,
742,029,815,109,931,155,926,409,531,664,370,545,227,746,214,058,774,237,949,
619,354,511,653,836,479,387,557,837,376,986,324,765,144,928,185,180,772,703,
156,444,072,064,963,214,749,876,714,146,577,384,648,260,900,617,860,859,067,
200,400,378,680,736,281,573,234,121,851,588,131,406,693,378,355,215,003,402,
346,748,029,048,458,927,738,123,286,267,725,799,738,662,589,619,624,613,025,
286,372,421,171,824,887,427,866,682,916,105,168,431,639,832,048,262,450,095,
716,368,961,541,652,605,877,443,351,588,810,363,073,806,968,568,545,368,997,
245,691,841,012,523,219,273,383,332,922,665,108,405,393,109,787,897,870,969,
671,171,276,092,507,304,879,022,479,828,409,254,305,445,832,501,547,089,401,
938,846,861,797,675,917,383,127,051,529,828,837,715,567,770,624,690,980,556,
097,933,883,759,945,001,861,745,532,157,808,103,499,841,496,448,120,711,930,
716,818,831,067,965,446,579,569,353,297,023,659,930,450,034,878,569,406,657,
055,367,898,242,100,024,538,878,018,523,510,027,317,003,324,252,965,733,138,
671,814,063,159,355,934,322,020,526,783,412,788,967,548,093,888,805,028,635,
419,288,626,931,472,576,118,440,275,788,837,866,906,289,888,378,356,504,907,
503,162,911,377,890,811,091,833,816,956,798,944,090,501,938,699,924,130,425,
213,621,789,956,246,864,588,219,971,106,588,630,177,458,986,019,756,377,174,
031,438,935,327,088,455,817,021,116,080,134,548,548,340,736,134,045,979,316,
859,541,172,010,470,838,783,281,062,665,539,332,148,183,544,319,015,464,889,
447,778,884,291,683,938,077,277,325,553,259,069,108,706,757,483,384,791,115,
674,132,383,512,828,298,541,602,281,070,536,155,183,269,303,138,299,335,687,
641,230,019,567,797,854,964,813,145,269,435,024,560,543,046,299,407,725,395,
465,595,612,179,841,592,590,579,198,730,286,276,846,770,036,999,025,444,965,
421,248,776,190,305,917,092,682,875,024,093,263,474,376,327,479,828,813,821,
173,701,651,897,250,477,618,766,881,326,377,004,238,299,399,808,456,217,989,
698,037,815,577,556,190,343,855,783,575,328,026,735,515,726,020,446,205,304,
387,046,545,575,707,710,050,615,527,866,402,347,342,622,443,954,680,036,422,
581,784,831,276,983,467,821,196,959,242,282,259,095,554,560,546,851,148,058,
153,911,088,873,758,472,051,511,630,193,001,190,532,206,307,502,934,520,939,
413,490,435,825,296,779,200,408,915,713,902,177,494,453,712,261,138,022,068,
742,637,536,876,004,543,403,170,124,753,450,401,344,371,885,769,235,079,137,
917,587,151,072,897,359,135,001,605,732,013,607,904,569,049,876,671,312,378,
161,987,443,653,245,958,183,913,832,412,644,415,646,465,724,300,971,549,226,
121,354,839,700,432,536,615,253,986,655,574,953,166,428,654,882,513,816,185,
152,872,134,828,013,760,368,347,860,604,036,001,551,763,202,271,218,131,284,
226,277,606,940,139,588,102,488,648,019,114,538,943,963,795,077,487,434,819,
941,952,915,961,941,398,066,067,092,289,210,559,120,722,041,369,068,027,637,
493,406,469,678,444,591,741,305,859,783,894,042,749,943,651,904,048,114,904,
861,540,989,787,327,795,982,766,131,778,569,336,011,193,039,386,535,818,998,
679,685,120,628,245,398,298,768,940,573,021,011,112,251,523,053,862,284,993,
900,726,060,864,617,454,621,584,128,883,710,624,679,327,288,758,773,837,439,
769,509,729,454,786,352,847,843,158,174,917,617,296,052,187,218,503,655,241,
262,910,430,868,902,181,463,988,509,573,760,267,229,477,053,561,632,850,519,
711,647,411,363,479,963,318,025,333,986,481,678,418,732,637,173,118,308,890,
552,046,263,018,459,669,770,282,505,807,025,151,202,630,896,308,472,528,724,
060,921,925,220,817,209,929,957,149,119,164,526,927,700,102,263,530,870,605,
921,180,481,346,541,942,098,078,200,003,353,819,514,203,035,769,051,417,640,
633,253,198,055,692,568,348,889,718,572,608,172,949,331,068,118,154,227,036,
527,333,349,577,106,634,103,792,762,012,662,029,268,364,000,410,970,791,497,
906,696,197,094,331,090,702,895,527,446,727,377,379,721,618,243,100,649,558,
898,179,276,126,579,725,154,310,382,421,632,966,353,140,249,565,353,640,099,
060,242,718,102,095,458,206,477,388,287,757,867,592,741,900,330,578,589,198,
818,143,030,370,959,336,503,288,155,148,896,121,845,775,349,504,365,440,751,
040,084,911,920,694,443,017,510,537,569,601,904,001,476,748,764,243,729,317,
288,858,059,882,105,195,548,743,843,346,797,228,746,724,038,675,171,505,604,
095,457,576,535,174,534,297,602,933,096,338,417,648,367,364,302,099,015,789,
890,439,922,912,256,918,830,591,914,336,720,531,696,810,068,858,323,456,127,
837,750,273,853,398,648,442,143,388,372,863,224,105,764,369,516,114,088,278,
604,858,341,348,863,457,331,923,183,313,955,908,216,572,718,708,398,070,743,
475,858,296,363,860,468,454,462,483,421,889,927,806,571,391,566,079,128,626,
464,865,874,698,257,795,448,960,513,898,173,369,180,716,715,122,970,613,506,
410,593,872,800,081,061,857,807,412,219,814,179,104,996,862,825,832,417,517,
595,877,767,988,105,240,959,862,599,461,543,251,102,910,081,895,178,338,923,
234,929,300,165,949,541,534,142,348,835,167,223,511,973,773,837,898,142,762,
420,716,941,518,582,900,676,805,238,080,396,488,255,192,957,526,329,373,515,
290,467,432,561,265,258,083,952,037,117,539,172,172,463,602,701,806,651,958,
137,438,588,130,943,431,106,818,770,087,363,032,806,427,039,268,590,216,048,
721,925,658,249,995,928,924,695,349,403,829,192,020,634,040,101,922,211,018,
255,784,846,783,176,239,094,933,514,744,365,704,192,568,894,913,217,276,680,
774,716,465,824,575,556,814,717,309,662,096,784,546,209,589,703,852,107,384,
670,222,429,556,094,765,069,985,734,085,406,366,141,313,787,332,669,613,136,
711,925,697,652,519,388,717,076,122,739,973,263,429,307,184,000,736,169,507,
694,792,588,121,994,770,925,516,600,235,523,767,304,739,383,897,787,457,965,
066,960,232,740,727,973,115,814,026,821,593,548,600,375,102,906,524,212,691,
051,956,489,442,870,599,306,615,053,841,399,461,881,322,341,053,652,985,647,
805,271,285,771,809,529,050,533,791,188,136,590,642,203,210,099,571,103,351,
060,229,861,911,395,155,770,663,925,913,833,744,308,381,874,115,466,678,090,
043,749,906,883,314,464,165,605,023,356,906,858,370,052,639,185,297,458,192,
495,183,144,314,475,254,669,803,229,408,581,515,287,251,479,833,823,658,577,
365,171,152,614,007,682,184,010,946,599,994,768,302,189,917,769,988,401,863,
102,324,039,335,278,547,989,475,761,759,348,801,931,949,132,592,318,952,413,
523,465,310,433,833,486,841,005,803,075,589,626,086,676,483,952,453,971,501,
127,785,265,180,522,775,971,089,963,431,189,570,881,665,547,093,931,043,218,
670,563,201,419,062,993,626,813,055,234,972,809,862,550,213,230,009,750,087,
046,357,302,465,803,958,216,358,105,934,822,777,217,922,056,584,050,119,074,
984,627,123,393,094,902,657,566,491,649,883,345,857,463,162,307,694,007,386,
267,441,710,673,405,053,996,397,875,358,427,065,667,621,607,765,669,919,307,
335,573,404,143,518,714,874,931,906,916,515,992,470,818,817,228,936,095,549,
542,561,466,732,645,147,496,846,854,406,109,195,759,531,265,849,586,670,244,
095,084,246,354,514,180,245,906,853,230,474,170,735,266,829,456,980,804,880,
771,729,588,684,939,238,017,956,929,913,899,483,774,861,763,572,476,337,646,
743,381,179,615,540,634,422,598,698,791,389,379,748,824,551,832,163,803,110,
652,392,196,450,988,816,381,448,929,148,212,142,958,426,314,610,195,781,879,
654,943,110,613,793,380,067,003,408,765,138,471,214,256,034,516,643,847,778,
868,816,023,848,070,166,622,646,200,211,124,385,671,851,112,506,040,541,581,
695,451,340,303,360,365,387,589,957,649,179,396,844,381,285,395,029,779,711,
360,859,760,236,164,523,106,417,879,443,306,236,459,751,801,172,328,647,839,
621,509,268,814,738,968,794,125,707,657,081,308,248,401,810,248,465,839,035,
780,710,317,938,258,678,254,384,094,171,929,651,597,106,484,456,960,037,459,
635,735,848,251,776,745,939,241,366,221,791,874,641,990,879,819,538,012,586,
801,944,758,212,357,027,873,774,308,731,623,150,111,262,549,237,018,664,681,
351,123,416,365,267,778,903,090,776,657,190,954,179,589,726,213,971,277,312,
961,522,939,541,165,525,362,876,095,255,981,548,952,855,074,607,326,886,939,
446,427,918,758,046,471,284,357,345,650,747,953,440,966,296,683,637,231,952,
675,338,394,306,638,970,536,775,210,777,668,200,311,017,125,220,318,169,384,
385,123,283,411,815,610,725,058,334,482,647,170,155,005,318,575,744,932,141,
593,345,126,121,959,268,598,594,655,073,942,770,282,418,712,165,842,077,952,
227,216,134,702,014,796,344,892,899,262,342,972,781,648,495,588,699,295,441,
223,272,344,919,169,357,837,676,399,518,015,137,413,473,170,050,788,928,154,
611,620,489,430,244,452,456,039,710,462,862,212,554,580,236,692,489,809,555,
365,537,345,437,392,560,572,687,712,326,904,030,159,613,069,809,498,997,471,
944,507,628,149,560,510,355,412,190,572,021,155,412,470,268,076,072,697,541,
872,034,168,536,598,588,101,553,403,103,888,737,618,771,819,435,985,293,864,
243,473,956,634,842,485,829,542,325,195,422,121,741,481,212,219,857,702,923,
671,530,572,531,443,845,894,851,412,074,820,835,778,575,456,641,008,376,344,
841,615,921,758,564,672,392,969,046,692,008,821,145,207,266,845,360,380,383,
139,341,153,173,217,570,925,610,427,519,592,259,140,896,683,365,911,849,911,
442,473,791,929,938,428,428,543,651,031,578,880,493,933,190,216,737,333,281,
659,531,509,174,626,080,499,889,007,199,289,081,963,936,315,099,878,517,700,
053,775,699,775,544,904,784,464,395,825,651,253,651,806,106,585,479,809,241,
253,272,306,908,087,167,953,557,986,396,730,300,575,387,102,149,959,453,645,
636,355,210,986,660,649,840,350,642,182,131,599,210,608,038,555,064,793,457,
618,735,194,194,562,163,326,047,944,436,631,498,579,983,755,876,517,994,780,
654,238,231,710,269,325,731,422,278,736,758,955,503,666,756,781,744,592,424,
281,306,237,719,166,201,617,592,370,235,853,052,501,405,117,634,061,453,632,
951,280,053,058,193,344,804,378,013,362,569,384,162,912,117,274,431,664,841,
816,875,337,197,913,155,007,963,773,334,347,222,407,001,419,533,373,195,365,
611,155,028,134,184,914,212,553,650,977,901,362,801,611,268,563,583,594,392,
739,788,124,679,248,805,983,474,027,823,667,461,567,281,612,829,538,244,873,
615,577,296,930,394,863,543,347,408,487,150,029,877,025,143,320,839,501,976,
230,503,060,679,625,125,914,747,813,094,772,311,746,094,949,635,894,241,874,
676,762,611,213,100,946,639,795,127,717,021,676,143,658,392,377,378,456,479,
597,761,405,241,494,147,745,716,855,440,772,179,604,360,985,051,184,220,120,
785,543,637,036,432,917,098,329,976,250,826,422,145,796,482,150,336,719,411,
221,935,478,823,676,678,592,706,825,596,913,129,806,385,675,350,976,207,053,
011,032,475,726,901,684,843,178,525,480,609,825,263,870,419,301,085,537,177,
012,227,297,601,648,901,751,282,857,361,927,198,873,781,460,707,822,492,446,
181,186,430,745,222,046,244,199,688,470,103,289,032,380,863,930,918,205,579,
561,124,794,121,969,601,514,599,910,296,623,283,089,969,788,680,970,774,988,
714,513,386,101,552,712,391,238,074,084,118,987,072,549,493,778,166,008,736,
490,128,492,586,420,520,424,116,054,473,662,463,713,200,909,344,163,488,070,
081,434,864,999,904,616,349,488,661,006,706,362,610,985,029,218,570,217,522,
502,561,477,661,621,180,338,297,079,587,099,484,262,356,928,583,929,699,863,
424,848,913,231,484,163,378,837,402,921,768,148,736,559,576,902,525,632,073,
359,559,491,220,527,298,446,105,178,597,834,796,904,924,381,553,024,518,558,
416,565,781,018,285,792,398,721,071,598,195,556,964,407,857,297,914,961,318,
599,494,607,206,787,549,932,911,645,678,486,119,656,548,249,691,269,418,043,
003,842,341,793,702,585,890,102,790,313,082,721,259,389,810,808,537,232,964,
971,191,530,687,830,280,493,666,401,943,305,957,694,387,244,003,442,974,743,
555,025,205,020,476,721,781,353,413,507,529,359,515,020,887,996,974,311,335,
667,468,847,692,924,054,729,720,144,076,841,109,344,377,345,341,080,917,231,
707,797,954,683,581,083,295,180,675,989,692,287,398,362,279,181,397,881,004,
980,447,227,350,461,566,939,308,059,101,979,467,395,543,830,227,156,030,248,
548,206,047,684,788,703,038,055,664,890,922,222,644,368,716,489,203,175,808,
506,374,791,644,296,180,649,460,534,337,169,705,181,495,709,964,997,691,756,
846,588,113,864,907,204,753,930,748,475,910,933,854,685,243,287,404,864,699,
554,116,528,263,101,393,902,337,730,776,586,918,775,856,455,558,955,213,649,
113,150,604,536,015,267,832,369,068,688,190,064,515,911,462,572,197,738,876,
997,400,263,344,276,088,154,851,955,465,854,040,802,276,140,331,147,200,886,
638,515,886,105,220,781,264,653,824,604,726,696,584,558,114,880,593,064,531,
397,402,616,489,525,399,845,164,725,029,603,707,411,952,035,042,227,824,385,
501,094,341,380,729,450,893,854,670,511,608,283,021,540,044,442,427,619,158,
482,508,993,317,586,222,056,894,168,924,767,874,177,547,109,973,406,260,147,
773,520,635,858,335,552,451,432,543,055,823,406,625,452,964,505,862,892,935,
770,468,866,929,842,188,053,926,293,210,664,998,390,396,847,261,528,569,571,
408,032,120,081,353,716,172,984,887,455,656,534,492,114,943,900,459,030,658,
910,791,555,063,446,461,552,043,451,282,058,144,879,075,490,018,948,574,623,
946,389,385,700,582,559,349,189,280,152,854,072,611,425,681,780,166,676,818,
071,466,226,836,801,552,989,018,267,796,771,233,100,831,346,564,177,645,849,
239,722,393,796,908,178,331,907,543,704,369,396,852,618,705,145,604,012,937,
880,500,424,584,496,523,260,435,400,528,320,580,418,636,311,438,671,841,089,
537,563,685,632,942,163,005,280,885,528,878,736,789,939,878,896,557,017,605,
695,630,549,768,043,544,428,517,047,733,655,286,596,116,861,533,423,600,016,
575,222,606,675,297,321,261,479,824,026,750,680,735,193,252,609,869,136,615,
850,753,256,535,109,549,972,526,176,905,028,976,760,125,206,632,093,469,438,
291,070,571,859,427,174,710,479,834,512,672,116,443,369,076,796,227,289,911,
914,831,075,080,709,292,816,830,660,221,319,698,982,864,338,815,479,380,478,
079,368,146,489,022,717,043,024,734,993,585,214,295,804,600,841,820,054,374,
423,646,110,773,466,017,678,821,532,732,449,601,440,311,816,714,405,986,534,
530,892,293,585,358,287,261,349,457,974,960,102,258,974,528,990,034,879,158,
814,509,443,622,304,321,871,495,593,050,540,885,862,904,095,226,112,162,620,
533,410,472,848,473,701,231,968,584,455,211,141,141,802,965,114,721,940,570,
326,925,953,503,118,951,626,579,309,098,420,645,394,208,304,292,302,640,910,
948,297,064,205,585,490,981,497,215,476,794,163,212,495,850,854,418,403,278,
609,239,150,412,713,934,267,730,447,551,440,372,950,116,510,990,513,967,881,
714,551,612,530,581,855,379,670,757,324,848,355,005,360,986,980,055,185,645,
453,952,291,843,717,028,646,212,044,004,805,777,554,042,903,709,556,059,225,
701,404,048,236,934,674,381,084,924,707,752,319,462,389,393,045,305,722,369,
809,748,166,806,773,413,133,451,339,176,766,013,453,130,394,377,064,355,715,
894,075,884,103,843,172,376,105,490,864,880,161,966,252,382,950,477,964,149,
227,085,136,333,700,087,124,654,012,413,090,742,660,725,672,928,751,306,453,
867,745,153,506,250,763,310,137,039,788,871,551,426,273,780,975,819,795,024,
735,547,736,185,012,989,675,727,641,394,818,174,770,053,123,272,501,180,121,
831,741,221,484,046,294,302,224,035,925,399,292,280,890,394,542,911,675,615,
420,644,557,667,744,851,258,528,351,686,186,273,718,391,186,255,954,053,423,
510,640,475,410,514,159,823,252,729,396,372,887,991,067,796,887,194,157,387,
806,772,379,608,480,975,200,194,390,447,294,807,318,420,744,655,497,680,824,
990,220,991,610,615,439,051,667,351,247,723,504,218,474,174,839,894,960,452,
526,803,760,754,184,049,380,035,172,283,055,504,631,408,150,450,536,818,025,
515,276,215,765,806,680,229,044,943,034,291,230,839,089,284,758,049,888,640,
922,604,128,799,901,139,686,933,907,158,603,363,885,923,869,943,341,346,446,
060,960,436,606,231,302,819,704,885,872,530,237,375,405,296,751,961,395,879,
216,487,499,974,461,523,202,342,499,133,625,077,956,906,832,094,867,775,254,
426,902,162,667,897,753,919,304,177,945,823,722,429,123,400,209,836,174,139,
622,980,753,234,395,385,641,856,894,681,929,386,510,661,610,770,578,573,583,
296,529,310,732,527,522,494,006,850,569,353,623,754,606,934,396,013,159,593,
651,542,258,857,408,381,174,279,797,627,472,991,256,664,884,419,454,798,456,
138,366,079,619,521,391,835,274,189,205,828,185,620,027,999,498,089,351,130,
927,305,666,023,480,086,835,964,985,837,977,495,952,341,378,448,267,193,364,
013,743,826,593,276,772,948,021,305,042,132,752,556,761,678,799,576,790,343,
731,290,638,349,628,720,927,854,123,737,928,798,066,889,553,410,073,153,470,
040,354,079,330,862,832,004,793,302,988,157,036,748,238,586,779,697,014,617,
015,288,000,301,047,195,245,424,014,514,366,590,918,162,049,372,939,359,787,
529,616,051,227,685,892,364,922,199,999,632,428,536,037,370,792,369,811,819,
565,077,929,128,953,128,979,346,205,328,898,227,209,691,804,664,960,990,461,
840,899,659,066,008,000,315,830,040,922,036,742,702,990,630,347,473,233,048,
753,684,117,693,309,092,159,258,426,637,893,787,843,886,921,538,763,870,767,
210,904,183,814,346,826,360,975,244,383,099,398,698,031,962,136,840,093,996,
767,736,800,279,847,795,547,086,499,556,219,072,099,406,948,545,358,293,439,
674,491,780,694,645,270,494,342,583,712,935,202,661,525,193,464,336,832,477,
650,415,097,100,565,775,621,290,023,656,146,988,536,682,375,955,072,092,973,
923,458,693,346,383,490,828,128,563,238,604,451,503,183,908,905,779,656,290,
320,251,113,167,144,994,018,932,676,461,207,117,198,672,857,104,074,213,013,
609,961,661,153,700,814,963,021,279,851,581,996,616,106,970,253,588,092,245,
397,453,794,906,006,602,414,920,196,877,046,036,863,237,647,402,282,036,176,
581,083,364,847,066,560,292,202,516,786,956,829,385,471,629,790,556,944,808,
843,078,096,730,083,183,035,976,766,359,939,052,875,544,288,007,002,736,819,
347,751,496,221,237,448,663,292,765,030,882,701,847,735,470,727,316,875,637,
816,777,095,060,384,647,784,601,491,871,577,881,751,273,574,490,155,672,746,
289,769,799,369,496,852,516,385,357,351,161,075,254,483,871,840,474,857,665,
216,431,995,180,190,895,586,954,646,813,065,497,458,068,668,650,514,781,160,
290,000,583,779,168,479,399,626,691,110,403,242,476,384,533,339,489,776,993,
012,387,883,842,185,344,088,781,690,882,945,591,456,794,055,432,471,555,423,
554,952,841,575,850,530,153,948,923,087,861,230,360,938,810,688,868,475,179,
650,656,839,821,789,162,410,581,398,682,039,648,532,635,590,189,356,213,448,
457,322,483,767,828,273,451,061,064,544,753,518,137,558,030,194,414,683,163,
671,614,644,128,410,288,858,539,923,964,979,259,650,882,627,814,432,088,165,
127,613,668,543,068,077,807,544,344,138,891,942,816,721,189,107,622,459,134,
129,636,409,895,174,982,211,040,108,085,885,086,085,900,119,004,196,301,731,
198,301,406,391,501,469,240,530,639,868,942,618,415,356,633,089,209,406,557,
421,366,774,513,948,766,155,268,063,398,905,332,857,949,440,687,550,357,389,
175,984,936,212,617,276,070,061,910,872,374,787,454,170,256,924,638,505,981,
656,879,302,754,276,273,033,537,494,806,952,817,610,574,775,937,904,036,300,
479,935,904,131,750,115,099,659,291,057,421,586,784,223,916,739,469,564,321,
277,752,292,449,663,637,739,558,373,726,570,507,325,531,965,824,354,258,097,
013,276,942,861,158,607,742,029,911,114,320,323,904,525,548,594,465,126,690,
563,808,518,144,247,600,122,821,382,063,788,393,052,262,555,102,184,839,992,
716,962,604,366,407,491,829,152,887,122,105,403,120,230,470,731,961,303,059,
004,147,099,283,056,817,106,861,188,571,946,089,205,865,525,724,736,222,823,
970,827,442,386,388,182,657,247,941,026,812,845,383,211,842,716,161,462,856,
482,332,302,518,131,549,334,574,651,633,551,725,776,530,896,240,604,168,120,
774,712,069,893,242,335,163,508,545,882,311,388,153,421,479,150,806,360,071,
855,919,663,591,331,269,667,122,552,215,486,398,542,334,575,558,023,513,305,
129,280,204,731,087,030,173,839,493,670,116,118,523,477,408,763,849,546,044,
145,200,784,906,331,135,088,468,933,285,478,917,979,534,865,313,380,892,777,
364,812,242,349,424,889,496,880,125,274,540,353,604,097,119,653,880,889,897,
148,909,418,996,242,990,202,099,507,330,967,072,280,930,111,955,698,931,685,
108,807,864,928,042,926,638,534,536,155,524,340,035,022,044,601,431,215,797,
459,953,683,917,088,197,200,844,692,304,207,553,432,091,858,776,591,344,956,
256,952,188,480,120,138,306,046,433,002,647,217,126,124,559,593,618,587,724,
276,106,688,469,329,258,736,937,867,278,651,141,653,223,292,884,998,975,962,
995,563,496,820,889,394,863,813,711,024,730,677,797,789,412,957,112,069,214,
658,088,250,693,139,291,945,636,719,527,888,455,994,056,987,788,212,366,021,
388,281,539,951,777,391,965,776,595,939,817,676,626,219,023,810,930,424,056,
086,101,758,375,043,887,054,233,379,170,932,863,188,561,408,305,993,282,192,
134,542,965,763,628,492,099,545,904,471,354,399,046,086,309,480,759,634,462,
970,140,619,314,578,521,628,923,355,188,391,653,732,392,376,214,473,955,453,
130,856,299,157,551,857,305,279,787,400,026,449,844,626,648,359,420,885,624,
820,123,178,275,361,014,503,163,858,499,565,325,939,590,980,625,515,157,367,
269,165,872,824,940,204,154,814,082,362,875,827,393,350,378,199,346,652,512,
510,371,935,051,063,285,669,297,191,793,021,539,444,263,397,214,648,764,205,
554,672,021,594,867,115,059,091,714,253,353,881,962,980,516,670,701,056,707,
362,515,446,920,337,196,382,343,599,797,060,186,851,977,702,104,941,146,847,
854,092,918,932,906,873,512,245,224,655,828,444,226,429,961,421,779,298,424,
991,342,578,011,607,584,500,994,245,091,768,022,028,682,540,135,897,723,887,
954,276,262,865,951,041,366,413,702,401,960,257,170,872,667,591,258,923,464,
115,071,611,192,441,959,166,381,527,213,561,967,082,696,528,946,688,762,795,
734,235,379,633,599,244,327,667,350,368,755,017,011,429,815,677,118,919,832,
299,401,674,137,131,287,141,224,693,349,957,779,945,758,969,345,301,628,149,
188,400,222,690,951,994,609,263,141,764,110,584,286,808,899,555,535,462,672,
691,672,358,419,465,356,514,797,865,567,281,723,422,860,593,851,698,918,780,
545,136,537,570,834,460,607,073,553,883,025,833,495,532,797,969,265,558,068,
453,834,968,744,199,883,521,439,677,195,341,995,334,262,408,177,834,551,190,
842,918,494,596,606,688,321,363,880,738,295,724,542,445,083,162,584,570,142,
854,061,107,332,014,144,798,029,072,841,261,285,955,221,396,885,031,359,758,
501,397,832,043,242,829,763,622,005,405,632,039,004,704,077,883,454,850,030,
575,556,891,729,395,869,263,451,234,842,633,847,067,874,740,336,467,878,504,
937,025,834,026,126,082,560,000,216,342,371,606,295,852,227,755,422,724,944,
785,717,902,435,870,894,476,397,431,439,964,469,719,224,582,955,831,285,416,
563,236,622,163,200,629,975,140,802,866,734,551,936,046,034,244,962,503,744,
046,300,392,693,488,533,464,126,546,872,331,309,076,452,275,345,010,970,450,
163,116,781,827,291,280,313,420,489,814,755,986,910,383,495,934,110,502,826,
593,781,452,992,113,626,739,451,888,623,238,829,104,502,495,800,460,106,536,
237,773,339,345,943,477,221,458,162,506,677,765,320,546,391,203,790,815,330,
491,352,492,631,900,490,772,268,082,285,099,897,568,366,479,616,267,596,883,
595,710,612,293,726,570,052,318,764,624,324,169,678,988,354,543,833,892,110,
658,214,397,334,811,878,701,366,840,951,106,955,270,983,047,367,254,192,586,
174,091,249,227,240,794,806,959,932,269,525,810,393,832,972,665,820,511,808,
293,710,901,773,267,915,392,165,817,717,482,875,100,946,814,658,839,984,950,
550,667,361,989,193,482,809,238,203,436,405,299,606,382,761,784,370,698,019,
377,084,718,229,845,483,267,066,558,942,641,112,542,748,209,432,531,167,399,
726,306,417,453,701,670,649,379,759,705,276,665,806,453,589,591,365,377,158,
922,680,803,200,718,895,787,719,604,434,254,439,052,546,485,999,140,179,516,
705,269,228,717,340,644,606,193,762,815,914,266,499,226,903,929,391,112,347,
418,205,909,121,715,818,454,282,660,711,912,602,220,805,748,521,814,801,994,
043,575,945,875,652,219,265,299,994,697,771,242,226,698,623,330,722,808,164,
620,854,328,680,335,139,706,118,286,243,527,584,070,504,539,198,317,038,524,
923,659,951,733,556,974,438,136,436,351,723,182,336,887,346,236,492,739,557,
075,761,415,490,554,234,378,403,605,887,719,883,446,639,405,397,746,498,141,
909,826,016,734,361,389,957,393,943,594,514,131,580,578,645,185,557,451,375,
264,186,618,572,258,588,502,316,956,790,963,665,446,886,116,251,557,492,460,
443,784,848,854,388,953,470,098,937,245,697,534,014,820,568,322,802,765,831,
510,245,881,940,120,102,133,782,698,739,549,924,739,590,859,024,269,636,370,
965,894,466,089,563,053,743,819,784,076,965,742,711,481,758,548,678,982,720,
353,154,499,776,220,016,503,572,447,672,245,479,435,143,863,280,813,254,008,
334,758,508,146,485,105,483,590,235,111,167,939,643,873,322,543,121,057,424,
090,964,022,453,416,615,143,346,359,607,352,245,780,645,738,115,593,446,854,
620,270,477,934,016,647,513,511,524,411,911,863,871,637,248,280,753,143,142,
891,332,743,868,283,676,617,657,039,288,345,679,771,898,335,190,537,748,872,
288,654,867,569,933,652,217,264,641,485,922,222,317,453,806,501,579,453,258,
013,164,870,481,949,509,258,897,008,347,163,359,351,080,086,758,149,281,050,
976,197,567,610,299,470,430,385,612,036,350,832,547,040,524,812,807,346,876,
309,694,441,846,297,593,864,106,045,986,034,250,079,356,155,236,624,501,556,
004,287,453,958,036,174,267,780,215,588,236,984,296,565,164,002,120,131,715,
744,877,917,752,119,862,555,625,464,531,589,033,544,456,951,784,100,256,822,
992,369,402,693,459,669,973,570,168,345,172,617,207,885,968,505,234,343,782,
185,928,251,639,932,932,626,240,612,028,605,018,774,886,919,041,124,735,078,
133,761,655,573,040,423,542,868,552,539,983,219,231,126,275,739,083,271,976,
707,203,355,347,505,637,936,433,139,209,765,842,644,773,991,417,738,152,283,
414,466,774,567,690,307,088,505,753,344,557,185,561,080,057,330,642,434,247,
765,691,792,814,094,404,609,723,639,605,665,261,034,045,650,657,805,155,292,
691,021,427,245,538,336,735,021,772,080,348,727,160,993,658,378,990,998,116,
144,302,516,066,143,370,027,334,865,613,847,665,757,427,882,682,622,486,487,
682,150,312,345,557,798,551,327,927,205,938,637,059,228,385,708,911,945,719,
130,567,344,397,511,607,584,671,924,687,918,958,807,512,589,718,857,242,960,
566,147,028,575,732,308,506,403,439,212,344,888,260,181,045,828,955,126,955,
501,371,605,053,022,786,580,937,223,662,364,615,664,961,145,020,770,266,278,
023,314,254,186,897,917,364,173,536,387,665,505,074,782,083,263,351,634,821,
774,451,030,790,657,242,116,236,498,097,436,866,994,849,128,606,350,984,887,
400,367,134,319,779,052,104,293,053,212,230,525,348,112,979,051,012,213,640,
798,800,252,177,944,863,041,111,242,151,203,927,195,726,177,945,829,936,934,
183,620,831,477,974,296,467,027,651,573,730,537,080,541,915,419,126,532,799,
446,429,009,948,172,418,959,321,112,416,614,951,011,078,511,260,562,447,554,
088,063,771,582,014,841,059,286,658,267,498,959,576,137,293,321,882,075,766,
885,904,410,193,226,180,592,290,997,920,249,575,035,523,745,919,456,294,928,
484,197,805,137,555,430,732,541,018,240,297,025,572,876,864,530,691,691,801,
554,298,885,631,085,201,408,089,769,301,673,118,752,573,677,386,315,565,875,
024,395,713,726,236,407,884,320,985,912,704,989,262,550,082,557,404,667,514,
455,629,569,480,172,622,386,305,773,859,988,679,387,827,838,459,200,982,614,
288,863,349,486,992,351,723,493,836,262,459,971,265,555,191,082,126,470,662,
311,320,178,688,634,919,235,557,129,389,400,782,841,479,143,456,074,988,764,
674,387,540,434,497,666,069,681,741,645,583,407,382,119,449,756,765,399,631,
059,291,912,016,146,308,908,618,654,520,381,450,961,794,363,749,606,336,718,
846,143,176,695,213,584,309,748,930,823,749,450,881,567,970,678,613,275,202,
777,827,347,497,300,773,451,342,237,646,351,944,808,074,413,474,734,090,900,
623,662,404,207,134,563,556,220,855,913,959,509,306,134,215,282,464,473,043,
163,700,864,680,155,806,408,820,934,669,826,973,339,241,931,534,495,922,443,
563,350,698,427,993,186,931,452,691,762,914,034,557,372,449,130,855,535,216,
802,549,221,381,795,071,477,861,371,570,291,244,455,747,572,386,147,462,671,
671,479,218,368,511,609,189,217,499,404,159,905,552,753,658,363,197,622,405,
961,837,131,857,825,136,390,124,505,419,433,821,623,870,748,428,425,417,465,
753,446,198,567,732,918,542,680,739,644,410,390,058,679,376,623,318,713,316,
576,512,139,614,877,282,271,762,508,093,998,921,439,408,216,209,394,654,653,
231,223,770,265,350,855,640,622,202,200,162,585,488,326,128,049,004,636,174,
851,389,434,402,496,743,754,390,420,569,361,552,328,817,785,510,394,436,501,
535,939,668,612,885,616,907,072,571,453,272,834,772,021,068,329,703,224,973,
009,241,905,422,856,700,438,843,714,391,086,326,477,483,383,226,515,417,840,
935,599,748,936,978,852,107,740,131,731,461,093,267,394,565,404,592,672,166,
244,828,530,946,827,463,727,206,557,513,146,531,158,881,926,192,472,447,077,
801,581,888,125,691,946,221,127,301,918,024,692,979,909,904,308,264,953,404,
312,617,484,652,849,166,331,408,189,257,845,399,896,117,132,784,381,889,652,
893,755,954,162,097,663,012,152,763,305,903,377,284,059,460,535,077,222,175,
218,679,308,868,439,856,436,850,583,682,687,837,654,243,436,482,656,731,957,
838,810,719,829,753,130,454,994,641,377,154,008,942,124,766,563,187,135,820,
645,610,363,312,989,617,557,768,064,475,481,208,555,925,462,150,888,795,644,
051,842,143,328,498,223,212,192,678,091,137,116,557,002,468,047,649,146,947,
461,110,522,243,566,725,090,101,977,153,347,654,077,764,357,483,908,401,948,
742,585,501,744,230,210,852,894,489,680,496,558,859,973,350,950,878,554,895,
236,189,908,721,144,193,006,060,284,410,442,303,757,183,213,883,111,959,600,
671,450,162,095,381,863,996,660,346,219,457,456,675,792,204,581,153,085,849,
812,555,791,095,930,502,493,129,290,731,998,303,873,062,844,126,545,600,038,
431,726,995,747,334,652,902,169,210,276,916,214,759,731,718,738,757,269,294,
006,676,065,825,434,745,983,116,410,676,230,574,969,855,249,805,966,625,668,
824,429,522,873,754,295,590,601,031,657,580,674,868,451,652,451,548,308,747,
614,513,299,909,182,765,231,164,672,454,112,676,351,806,050,968,953,028,879,
609,752,564,832,820,482,368,849,614,850,543,310,469,475,557,344,097,950,168,
003,337,561,809,619,100,113,099,101,782,083,488,646,749,314,635,660,218,038,
763,233,854,484,014,077,678,754,362,628,506,062,412,563,351,097,068,057,623,
544,341,795,400,857,999,198,201,689,070,855,938,603,736,324,470,587,572,490,
399,562,338,763,823,922,141,676,413,431,861,149,270,515,455,497,846,419,016,
135,006,840,468,212,314,857,858,648,730,092,180,212,566,787,515,540,014,677,
649,070,661,315,268,680,028,274,688,145,714,553,394,972,569,924,562,329,966,
558,997,960,130,720,867,588,832,613,431,006,721,548,373,300,598,580,291,427,
395,903,466,362,341,807,507,100,156,630,310,802,280,028,343,554,755,712,537,
700,072,576,195,439,226,851,660,593,972,241,693,055,714,432,777,801,830,464,
687,249,674,199,199,984,992,349,439,781,365,056,879,941,183,740,565,647,034,
349,149,770,268,881,690,079,824,212,209,575,301,746,097,382,437,887,918,024,
448,315,998,207,062,885,968,165,562,810,725,284,160,862,539,490,664,331,471,
872,606,833,653,858,654,236,075,845,884,451,195,296,386,967,978,947,112,881,
200,649,143,183,000,210,270,728,843,282,883,112,081,486,089,131,048,347,352,
488,573,261,558,424,384,329,124,051,596,804,051,032,179,405,314,405,842,065,
154,329,351,212,037,989,420,705,355,430,827,397,977,885,172,335,807,139,049,
368,164,580,429,042,563,408,612,729,631,238,906,065,764,942,254,483,675,982,
191,184,178,828,654,503,766,963,846,333,659,974,120,066,878,444,873,022,613,
860,258,252,841,752,096,439,795,691,402,703,103,505,915,411,797,725,667,079,
170,993,239,549,310,312,333,473,384,080,158,840,476,487,561,830,610,651,939,
793,619,337,733,140,090,717,645,464,463,135,989,734,890,204,300,346,088,928,
145,042,830,202,067,886,469,690,758,586,763,579,691,708,235,619,293,830,696,
570,809,162,084,503,940,688,388,858,281,331,881,029,078,067,466,528,746,614,
046,126,989,946,154,662,180,789,527,763,593,140,479,828,598,178,012,851,860,
526,640,246,294,413,410,780,982,703,662,746,954,737,185,587,219,671,945,358,
292,393,566,738,468,350,282,516,399,817,151,728,421,500,092,108,726,959,878,
227,568,844,041,666,560,059,599,671,868,109,947,746,072,985,788,808,024,381,
266,506,888,549,990,339,692,425,768,947,490,781,187,738,271,287,459,373,505,
019,970,994,203,934,847,870,394,468,001,500,148,450,688,260,211,868,597,943,
930,995,667,956,883,240,281,468,056,039,656,642,330,976,359,985,048,867,783,
011,649,936,303,738,036,796,001,081,804,800,937,947,969,771,328,948,906,724,
584,061,676,303,307,382,182,304,037,210,565,482,926,702,516,499,683,297,120,
355,257,213,823,395,446,834,329,263,022,708,253,222,020,060,103,867,452,569,
623,935,640,785,474,772,247,021,839,094,757,150,608,943,149,700,915,919,608,
342,781,985,992,697,588,884,461,266,105,162,366,141,453,288,649,366,435,956,
670,202,803,540,647,369,305,968,769,877,224,261,755,132,951,791,882,649,586,
954,857,990,933,123,352,446,274,249,596,055,694,031,487,762,108,981,816,325,
253,398,705,502,316,091,666,190,157,860,812,601,831,041,191,164,666,650,096,
086,769,024,043,914,085,751,248,703,577,504,069,114,960,730,337,435,216,460,
006,783,400,637,366,641,103,084,106,378,473,410,078,088,394,187,952,541,747,
847,817,155,764,421,628,491,490,755,457,461,368,300,210,772,679,911,901,460,
527,998,819,788,295,773,542,556,090,410,211,564,771,926,102,118,302,091,187,
501,894,391,961,062,089,251,817,657,992,979,817,441,764,759,258,051,775,330,
636,624,367,877,360,274,870,851,940,755,218,893,069,699,929,826,293,974,168,
851,267,408,069,120,898,076,642,360,805,110,557,894,713,602,481,203,921,055,
363,889,157,891,850,621,592,491,081,432,288,578,635,089,645,962,379,928,740,
218,119,481,091,315,438,633,688,299,348,988,792,652,974,470,116,697,354,799,
449,830,468,626,371,893,746,337,925,636,478,073,693,566,245,628,170,184,161,
283,617,955,034,026,431,495,520,078,256,022,050,055,991,576,462,462,974,258,
813,671,371,501,736,130,728,819,700,532,963,901,177,847,124,989,249,541,063,
480,911,438,846,248,114,800,366,051,648,444,346,996,756,018,636,394,491,828,
196,998,902,381,204,877,280,752,452,805,293,371,194,793,028,248,282,679,195,
807,183,724,470,483,528,425,240,211,192,478,746,086,392,251,503,683,123,071,
220,830,512,888,998,384,647,410,695,167,727,158,348,496,057,865,195,236,509,
968,812,534,733,881,998,594,841,733,958,977,023,023,630,512,774,387,656,187,
867,326,148,595,715,599,547,777,380,336,947,390,125,050,384,772,843,637,918,
248,557,864,877,608,596,819,796,285,323,750,287,654,709,935,733,998,672,232,
265,816,563,422,309,289,724,401,446,334,248,290,236,001,857,858,546,003,556,
119,829,420,676,757,332,725,208,586,873,763,543,334,020,487,649,293,233,877,
624,881,220,634,347,412,076,805,214,848,675,543,158,847,769,535,308,122,924,
541,504,091,093,891,877,057,121,477,864,016,433,900,995,024,403,426,461,111,
145,989,192,990,469,793,334,192,489,927,798,822,273,309,562,265,198,722,605,
211,647,720,099,185,834,899,155,977,988,865,961,876,005,392,288,930,372,907,
515,633,712,597,373,837,772,813,356,518,461,405,169,235,298,412,806,053,107,
069,626,831,933,050,938,376,078,694,750,478,992,927,165,541,375,631,747,292,
872,788,095,343,491,756,955,754,187,455,270,467,971,939,419,447,918,691,827,
133,420,798,017,713,098,082,141,713,609,612,604,158,884,615,548,898,873,441,
838,004,112,047,199,260,714,763,408,149,213,460,157,120,018,162,741,336,224,
067,381,838,449,500,655,641,120,837,072,225,332,764,114,938,345,061,877,559,
025,387,971,221,256,520,808,107,397,979,446,537,111,562,899,997,773,671,008,
182,421,470,857,211,298,113,579,242,206,797,402,297,962,871,864,236,252,418,
674,519,910,122,348,188,154,212,595,345,629,588,640,701,267,673,920,241,412,
181,263,451,633,067,293,968,676,515,297,343,239,160,763,769,871,423,475,335,
279,385,145,964,703,305,604,235,658,959,835,218,272,737,517,611,049,866,838,
816,942,482,009,677,381,466,889,251,070,723,054,354,836,153,877,596,809,993,
804,411,972,971,099,001,932,396,073,641,042,268,629,975,686,606,377,091,211,
820,535,557,444,933,724,320,638,518,860,702,321,881,988,309,979,695,929,205,
222,746,811,565,393,772,150,739,760,508,540,583,600,228,036,993,844,052,968,
777,886,674,171,743,995,148,374,910,465,877,295,265,614,715,812,253,390,747,
806,826,833,820,694,055,887,060,300,086,027,365,763,976,333,783,681,690,034,
566,911,059,486,017,610,018,402,310,224,508,378,358,353,762,695,320,551,813,
424,318,319,773,466,528,025,620,841,383,660,267,686,990,793,648,905,107,943,
152,242,857,825,340,195,082,220,089,037,638,160,705,355,588,800,873,800,502,
609,103,653,426,195,895,561,830,451,630,288,811,013,772,777,520,543,526,659,
632,571,833,786,203,524,346,476,094,809,041,688,597,804,638,366,482,962,967,
300,710,265,602,207,102,492,560,268,454,719,764,022,620,903,840,627,941,815,
614,524,813,592,160,992,493,941,538,961,360,388,802,898,345,560,272,799,883,
468,438,902,787,540,323,039,589,567,006,134,460,364,807,001,862,840,618,552,
039,706,890,585,665,410,645,390,266,091,122,552,818,910,361,097,349,364,944,
732,344,874,694,425,376,526,074,908,326,156,075,901,176,644,314,915,745,350,
121,227,578,894,334,422,298,864,341,627,956,185,300,822,177,568,322,647,055,
837,943,750,019,746,794,637,504,154,700,600,939,114,474,532,759,166,533,217,
155,390,177,794,427,692,755,024,775,979,209,931,150,442,951,749,944,234,438,
613,280,529,974,760,174,578,190,986,973,538,788,519,697,552,393,269,623,280,
136,433,822,013,196,048,846,360,144,781,712,518,140,132,657,858,687,715,716,
450,642,265,277,479,720,606,753,302,893,005,107,154,764,932,934,214,954,868,
625,194,458,172,856,847,224,725,787,449,697,968,925,126,031,012,261,487,854,
346,524,903,601,064,719,952,602,203,283,665,653,948,004,463,800,138,533,881,
027,877,684,961,360,800,382,252,777,648,109,368,263,445,969,684,521,608,109,
596,208,452,148,810,477,417,976,956,275,281,111,347,433,073,052,502,948,604,
660,007,794,581,369,429,000,108,065,026,694,504,337,919,653,140,471,062,783,
876,453,230,887,091,390,426,851,201,679,173,884,176,061,678,209,486,121,403,
283,460,761,817,286,808,212,784,245,763,761,327,974,165,248,711,754,684,123,
741,730,869,246,700,968,404,979,682,495,136,152,613,177,049,860,417,299,906,
164,552,943,986,059,347,839,357,033,463,521,910,764,907,374,343,547,752,034,
527,553,697,492,465,369,586,702,858,488,617,158,345,395,674,101,118,815,264,
637,594,859,931,316,720,529,397,190,308,476,925,742,280,750,709,474,799,622,
364,294,481,226,869,980,032,219,704,327,705,830,109,202,508,969,506,948,120,
106,845,530,371,723,425,641,953,597,973,249,836,980,233,929,352,005,872,966,
036,076,290,111,836,652,934,864,811,780,260,600,802,128,302,115,095,245,623,
183,020,093,463,098,347,064,796,425,729,263,965,541,881,955,949,079,771,824,
151,691,931,599,413,999,393,773,608,388,174,183,927,983,274,348,099,190,493,
103,460,582,436,758,478,659,287,126,279,105,214,584,799,900,329,602,443,742,
136,036,160,800,951,055,723,857,470,447,885,724,247,991,593,043,345,262,914,
572,505,219,831,638,079,405,723,305,728,252,824,355,908,862,477,415,396,518,
427,375,392,637,030,106,265,223,931,038,967,289,639,939,186,989,655,986,340,
459,769,285,275,713,658,693,067,781,848,404,369,248,264,668,203,178,351,296,
968,039,328,289,857,991,433,112,920,110,128,055,052,538,298,652,430,326,961,
911,266,210,913,525,533,981,732,067,713,207,385,386,391,899,598,253,920,769,
412,167,745,799,213,931,324,085,693,027,306,345,347,613,836,710,242,988,813,
800,621,601,653,566,290,390,152,348,493,180,763,292,766,000,451,717,747,077,
580,170,684,483,273,975,517,670,604,949,164,588,398,144,534,823,482,127,321,
363,458,475,370,018,439,719,692,870,984,960,945,776,096,239,619,788,620,304,
723,536,902,880,181,991,195,083,494,300,637,799,412,878,758,519,011,120,583,
994,434,625,429,905,834,684,236,758,304,219,414,028,576,667,323,989,311,771,
186,095,461,952,533,770,856,602,209,055,083,133,326,122,908,470,530,171,745,
238,449,598,913,192,948,992,826,989,556,041,735,220,260,779,723,039,444,729,
269,550,179,980,871,036,636,913,156,646,709,697,434,884,348,089,573,126,236,
915,289,803,176,883,637,428,140,983,220,768,067,284,711,952,981,181,790,660,
400,204,298,741,719,780,925,874,886,307,553,067,260,398,094,120,528,902,778,
687,655,071,292,066,322,861,774,436,593,247,442,863,991,287,603,040,495,411,
273,038,820,073,388,919,147,229,528,854,571,657,771,779,238,853,025,666,157,
130,574,725,008,927,367,034,243,657,632,372,146,091,728,416,972,680,205,299,
930,290,710,186,316,887,943,673,347,071,163,535,200,878,237,778,569,803,135,
980,947,105,655,710,681,897,818,482,185,727,443,248,716,976,785,117,935,069,
563,299,815,956,525,749,622,623,812,294,559,186,624,228,735,131,487,951,921,
623,897,221,916,939,522,568,520,479,287,295,178,692,713,164,322,793,592,437,
304,153,450,064,375,204,166,560,849,615,827,704,379,444,532,967,052,445,185,
380,565,622,834,594,720,638,612,284,927,527,308,880,140,059,946,517,791,797,
012,656,959,263,790,151,534,257,054,380,369,655,669,062,512,513,652,806,935,
972,818,934,496,373,024,793,110,207,293,806,557,728,972,036,447,671,727,938,
627,176,163,741,068,019,501,615,708,211,833,967,498,875,243,504,912,445,131,
628,113,264,971,546,514,728,024,622,097,742,007,668,484,271,896,585,090,771,
725,268,426,994,951,412,324,097,729,180,366,041,540,804,730,695,431,386,982,
496,227,466,066,118,449,509,686,324,815,217,164,149,494,660,616,504,736,002,
553,987,793,301,406,240,366,753,760,448,012,893,221,577,099,190,748,217,299,
244,117,461,949,226,939,754,241,122,255,087,670,095,882,994,565,433,687,043,
911,447,913,501,592,698,259,403,221,425,494,825,322,432,726,195,384,340,811,
340,532,721,544,745,027,382,495,561,124,325,428,625,837,112,518,827,378,217,
919,004,835,029,342,561,443,234,728,336,260,101,590,512,802,585,418,999,170,
862,651,122,097,306,157,327,504,855,266,641,825,083,088,034,819,341,803,808,
780,810,939,556,486,284,703,804,530,978,286,107,897,592,252,327,094,015,839,
807,357,348,177,863,567,072,207,805,042,433,145,619,065,363,027,116,442,201,
779,510,872,542,207,316,608,338,071,756,602,508,269,666,584,436,095,318,135,
271,327,626,646,680,260,314,209,658,635,484,001,001,124,671,827,127,221,319,
184,566,386,519,213,658,270,942,289,675,441,318,012,300,957,045,291,708,941,
798,395,353,296,440,989,920,045,593,521,393,891,839,823,548,653,628,112,303,
387,709,141,001,673,175,627,473,560,651,968,318,719,548,853,647,333,055,432,
649,146,264,129,161,173,693,493,691,222,886,043,828,985,196,042,630,600,730,
159,050,279,744,931,535,838,041,645,437,871,619,634,181,236,709,656,284,275,
324,773,421,807,161,693,062,555,016,138,550,307,240,061,523,994,455,596,445,
761,327,490,831,118,544,388,021,143,198,636,253,718,171,333,451,028,162,137,
912,590,807,043,544,310,892,590,911,132,922,838,791,297,017,870,011,575,378,
142,783,127,037,789,691,214,091,268,300,605,808,241,802,817,984,160,902,413,
261,834,764,821,738,644,680,138,208,142,752,619,595,862,064,127,287,840,033,
981,830,391,340,756,726,476,119,401,130,992,619,592,313,367,265,477,473,897,
720,241,584,638,457,582,915,919,931,552,216,483,833,224,977,483,565,211,523,
509,366,989,057,844,604,374,745,688,037,319,133,894,110,784,829,917,172,870,
924,557,990,874,125,747,020,769,844,524,554,340,713,924,127,684,591,055,500,
927,587,782,558,515,257,394,027,000,958,998,388,876,325,219,922,731,529,492,
979,944,502,615,328,248,217,642,017,592,026,461,530,025,027,731,074,252,794,
525,664,700,569,861,170,209,525,125,953,951,708,963,003,656,420,445,236,882,
432,597,456,006,725,731,278,785,344,139,063,668,194,786,923,989,991,299,170,
772,593,465,567,336,777,740,175,148,208,262,373,404,288,430,824,972,583,128,
477,359,642,002,964,914,470,949,645,300,010,407,117,089,942,190,516,823,108,
818,991,519,092,193,927,066,354,379,754,708,929,456,715,565,003,366,749,561,
076,536,947,057,486,093,718,494,805,339,117,501,085,267,662,544,826,791,769,
052,210,245,092,398,464,690,380,548,302,205,655,309,610,766,305,474,620,580,
641,224,813,271,462,788,278,877,580,670,275,522,408,645,371,775,374,609,021,
792,234,330,498,401,060,154,937,391,173,479,722,163,936,244,943,375,059,115,
664,625,689,758,821,231,078,632,051,103,970,310,157,506,371,163,411,754,323,
820,967,187,991,111,334,871,989,046,718,774,628,925,354,859,351,039,433,286,
511,487,123,854,897,048,091,604,036,034,653,405,770,935,137,733,435,157,743,
375,335,172,690,445,136,888,784,190,909,847,624,237,513,881,543,142,071,922,
850,569,152,271,844,805,472,464,854,371,534,580,058,414,472,313,426,827,266,
481,957,816,996,977,817,204,478,431,807,896,050,156,474,559,067,345,939,706,
843,178,430,132,357,121,114,944,234,044,735,463,024,944,030,344,484,427,656,
939,546,544,296,700,737,797,452,413,327,635,971,286,061,901,898,613,148,633,
610,065,089,146,440,816,607,818,018,410,838,167,651,493,646,224,330,627,063,
765,405,259,707,132,862,146,643,415,442,085,090,784,102,697,474,738,413,817,
946,727,488,870,880,608,933,994,788,549,829,156,589,349,866,893,907,500,791,
988,064,485,956,466,071,948,985,803,502,766,848,620,996,388,033,524,752,721,
768,987,621,739,148,230,021,615,919,313,299,143,564,023,141,007,565,404,036,
854,404,005,745,312,494,782,490,652,247,847,258,697,383,903,486,044,685,434,
840,527,975,275,244,434,538,424,445,110,381,731,406,882,766,438,029,439,982,
985,166,105,140,653,189,414,020,663,152,830,588,925,987,548,278,173,199,246,
903,635,573,094,692,752,161,755,832,258,118,649,694,425,549,777,973,509,455,
882,617,906,458,031,519,741,908,848,421,616,747,187,722,166,815,195,353,318,
742,304,785,641,992,702,655,251,846,078,590,971,601,861,790,440,682,027,706,
369,958,562,605,816,781,850,529,685,698,958,169,691,250,484,632,171,249,326,
123,469,085,223,153,854,574,337,198,676,803,572,725,657,313,413,005,781,480,
722,444,463,680,984,991,074,504,858,278,845,753,549,733,272,309,242,153,229,
209,039,080,767,680,544,351,461,035,170,612,877,501,502,529,013,110,352,683,
416,317,466,347,279,151,603,494,783,319,037,697,064,189,898,484,307,747,899,
738,909,441,128,949,895,801,518,463,805,877,864,866,715,837,991,683,533,621,
745,567,286,547,810,585,174,712,912,255,458,830,844,042,163,239,003,472,620,
632,875,423,612,800,092,577,808,386,446,393,799,977,567,546,013,909,692,982,
688,815,211,894,699,367,439,784,647,809,761,337,711,909,249,618,633,683,861,
958,553,132,018,910,114,142,755,156,271,526,110,163,309,848,528,431,966,516,
590,814,483,023,644,121,669,351,179,958,908,217,256,157,302,309,196,141,845,
860,428,177,666,364,092,225,095,961,406,530,038,367,151,019,226,710,950,305,
350,851,208,793,999,235,213,346,365,112,428,697,891,633,464,585,068,774,422,
766,918,592,184,417,054,834,877,058,548,884,394,599,716,685,298,518,335,961,
122,739,683,863,800,714,314,882,789,841,399,720,580,162,085,881,922,616,559,
925,625,265,528,940,912,985,068,651,917,834,965,802,599,649,174,593,860,704,
353,825,406,231,448,838,015,726,119,330,895,146,782,968,679,508,991,389,537,
919,108,949,676,082,350,068,679,057,539,989,064,980,387,635,655,750,072,949,
127,473,443,201,426,772,313,998,377,607,965,067,020,382,625,856,528,901,131,
604,883,692,400,391,452,643,516,330,059,507,306,635,341,919,743,357,861,093,
187,157,805,487,784,147,548,692,185,471,610,127,986,368,491,812,385,992,610,
903,243,218,989,584,797,827,701,562,911,661,459,561,313,090,357,866,385,945,
970,063,335,167,721,787,567,788,912,508,244,742,489,018,091,586,369,170,487,
791,670,590,666,630,173,575,897,305,866,368,008,934,246,560,877,956,093,299,
597,404,065,512,202,705,787,922,376,106,515,284,967,578,075,077,484,472,973,
833,883,611,249,345,998,883,704,202,691,168,486,910,550,136,435,775,876,566,
975,407,187,650,232,417,003,352,049,690,527,142,096,511,859,146,520,728,162,
632,332,979,775,747,260,811,867,200,653,265,351,445,884,940,569,228,785,167,
216,216,508,903,092,431,963,151,265,971,031,938,366,975,233,654,256,809,825,
037,761,721,351,303,693,173,923,294,944,132,957,536,985,500,683,737,598,897,
213,986,411,205,821,570,489,879,840,430,655,614,245,407,526,017,196,425,712,
601,000,249,568,545,474,685,086,477,589,109,781,356,026,077,634,103,380,446,
420,893,089,027,687,853,905,336,830,154,711,283,820,563,866,165,372,139,295,
941,837,827,459,512,991,093,994,374,510,092,361,331,250,359,481,714,040,731,
698,043,292,714,281,631,576,790,811,296,642,423,670,612,052,341,963,664,001,
845,576,929,939,800,898,806,763,602,592,626,560,742,042,812,499,979,661,607,
375,417,099,957,104,932,586,287,047,802,171,241,495,073,288,489,504,375,014,
030,378,059,075,265,666,942,392,673,516,369,046,636,626,904,830,056,182,952,
457,695,297,372,347,838,195,963,336,842,611,482,407,069,619,006,521,515,860,
865,155,602,837,725,212,293,226,485,540,766,596,358,666,835,867,776,117,900,
033,718,427,298,941,694,293,517,218,040,085,147,736,225,838,075,038,762,025,
640,514,787,342,693,808,399,198,195,247,640,364,338,321,046,637,984,415,774,
325,677,436,945,532,170,283,098,716,998,848,343,984,784,585,327,647,126,861,
857,742,338,275,985,696,527,123,548,960,693,200,564,511,981,752,926,855,178,
152,186,771,397,981,363,259,905,570,997,010,644,284,109,813,171,265,652,978,
717,554,497,154,244,389,460,803,307,234,285,577,857,108,028,918,297,217,065,
416,951,130,667,809,611,367,421,301,737,366,444,934,484,548,751,488,469,509,
798,828,148,894,335,390,000,540,685,927,307,255,406,550,558,112,353,402,626,
238,925,389,160,402,509,738,557,005,499,412,891,093,255,780,291,769,065,851,
959,123,783,246,749,297,687,543,766,254,494,281,124,108,213,945,672,751,002,
703,913,197,255,807,438,635,326,663,931,778,423,066,868,729,032,457,840,271,
208,570,081,300,654,045,856,931,632,375,592,120,221,450,315,354,592,581,630,
338,912,829,656,344,962,628,689,844,073,154,343,731,924,939,423,421,113,292,
384,014,673,133,573,678,290,060,776,848,355,892,075,572,454,831,138,992,872,
048,080,853,003,899,094,490,146,053,381,876,742,909,138,625,919,943,143,709,
790,179,603,461,645,056,284,828,280,405,698,304,570,598,993,058,082,061,534,
014,240,417,195,538,808,382,892,417,937,010,133,004,073,802,349,908,952,402,
142,966,957,744,122,491,195,854,343,029,975,052,822,767,427,858,520,321,163,
066,998,573,833,759,981,671,989,244,127,267,296,902,341,781,750,552,728,371,
057,875,449,294,478,981,551,583,524,095,323,390,292,410,464,712,014,968,601,
861,512,751,836,408,113,943,896,354,662,765,532,858,005,909,740,391,887,604,
811,565,347,848,045,782,930,517,186,829,786,151,945,712,223,742,849,115,817,
127,395,392,728,878,555,289,617,836,701,254,307,478,157,834,220,054,095,787,
991,562,986,096,568,973,609,540,786,738,690,473,079,225,536,891,702,241,388,
244,279,791,061,431,555,943,572,673,812,837,432,555,124,974,533,792,580,222,
026,601,372,979,842,063,536,635,179,445,388,453,610,745,808,449,801,865,646,
594,330,283,783,808,478,307,182,175,076,264,778,235,024,559,771,600,082,465,
867,299,958,494,419,189,939,160,829,725,802,558,938,594,884,673,830,793,441,
364,816,312,877,338,227,706,071,738,533,093,003,015,816,354,815,815,264,840,
857,496,084,400,879,719,742,955,740,625,697,775,643,774,266,390,779,768,150,
009,612,059,340,028,432,151,330,169,444,688,991,016,916,905,405,239,096,071,
966,718,112,382,923,594,422,414,311,297,758,464,147,499,552,020,661,867,397,
008,555,587,849,605,732,148,377,666,628,974,557,653,678,534,796,203,026,176,
286,588,328,348,855,551,439,439,419,131,269,196,288,089,175,226,177,437,296,
676,105,765,415,439,738,657,067,127,134,577,938,197,599,967,455,794,976,212,
134,831,719,170,590,600,516,854,764,363,326,749,636,887,686,730,380,792,913,
701,764,704,964,586,780,750,273,128,095,211,877,675,895,542,748,129,509,387,
727,380,730,851,001,643,124,704,342,283,563,786,537,069,246,809,476,021,752,
882,000,763,952,232,402,866,174,647,196,931,359,257,334,622,822,821,548,975,
911,376,454,358,306,526,792,582,690,370,148,254,796,196,791,367,299,557,263,
362,330,781,545,499,916,283,052,543,938,081,730,317,609,036,067,467,482,734,
826,544,673,188,311,451,597,232,894,222,837,469,705,410,958,921,386,789,538,
205,513,026,473,205,028,360,052,893,513,658,666,299,605,449,672,736,269,954,
966,769,390,083,783,722,310,540,697,634,205,591,237,050,577,013,811,142,991,
188,210,556,178,376,956,886,640,775,765,648,467,980,702,917,757,881,369,169,
400,368,613,710,722,632,236,992,820,997,884,814,862,498,124,357,209,476,471,
932,928,904,519,404,588,946,872,120,702,827,849,825,051,596,419,828,089,462,
337,677,465,464,401,819,295,315,758,488,334,345,690,849,573,911,369,814,393,
565,193,741,585,820,433,423,689,444,316,593,928,266,361,481,380,191,898,883,
126,306,305,787,558,526,295,411,259,482,184,209,083,040,732,275,586,709,338,
638,032,822,514,893,795,376,082,760,969,696,010,190,748,869,723,985,853,048,
902,111,779,419,096,488,379,320,661,470,615,990,608,661,258,378,736,727,586,
644,587,721,501,219,159,585,695,868,547,573,190,042,386,835,486,443,937,819,
832,123,782,874,773,146,147,320,156,035,685,483,804,269,377,517,940,940,398,
367,343,796,648,799,050,588,400,366,438,152,730,298,127,101,070,849,364,395,
186,157,282,336,640,574,238,376,912,880,418,938,910,502,954,037,794,687,471,
203,397,215,922,914,839,706,450,146,594,385,182,109,637,788,467,583,669,391,
974,951,587,766,535,974,474,899,999,759,142,274,373,460,195,883,185,558,083,
602,782,882,068,618,161,177,397,750,899,239,628,430,175,935,138,697,853,768,
637,008,760,329,074,529,057,648,606,137,136,141,893,551,420,289,694,400,283,
702,071,228,512,414,568,382,556,746,173,985,578,087,366,079,257,502,193,805,
329,071,273,071,287,654,939,968,591,390,177,393,684,777,343,515,581,246,370,
311,706,049,606,411,767,410,005,964,820,379,723,148,661,238,690,225,403,811,
701,133,757,887,918,378,597,969,277,352,836,164,247,555,714,531,360,411,097,
481,571,928,363,643,260,806,689,785,568,379,273,452,620,039,212,857,387,750,
767,707,309,793,185,894,272,983,885,553,901,602,842,829,887,267,000,277,103,
506,831,687,231,710,666,916,455,728,619,633,814,723,246,216,112,281,447,808,
092,968,388,029,850,472,114,387,316,669,090,853,361,014,056,359,604,787,724,
102,777,819,757,585,976,798,035,903,763,459,520,343,292,572,531,335,683,162,
256,616,523,087,588,105,114,215,294,532,484,841,547,652,204,347,658,557,963,
722,193,043,141,723,921,723,054,671,971,159,919,987,814,462,486,030,048,289,
712,589,169,310,149,684,893,018,145,967,575,378,208,163,581,914,222,462,171,
042,277,416,530,300,142,931,770,854,396,654,259,531,109,559,604,712,275,063,
225,720,030,361,151,584,029,912,955,725,699,070,581,416,003,485,203,152,043,
878,015,258,437,666,832,157,000,586,395,140,314,383,802,448,341,860,195,353,
142,029,544,001,780,918,406,726,119,882,743,103,834,868,986,724,659,756,473,
815,249,043,569,529,413,607,885,578,947,737,835,152,684,707,317,367,408,628,
626,320,056,742,183,059,033,391,610,191,095,879,791,182,273,121,220,815,166,
783,309,237,365,416,852,301,358,184,601,640,534,198,113,604,286,964,494,549,
777,611,023,249,133,102,011,980,411,864,543,232,392,189,703,049,882,945,652,
972,604,399,543,687,058,579,758,838,022,869,366,822,500,758,301,482,257,820,
212,390,673,152,761,940,946,353,124,400,765,636,909,958,431,375,347,419,663,
864,804,517,055,100,325,681,330,094,615,796,238,553,789,484,310,760,196,613,
782,505,585,908,233,203,973,801,145,676,581,828,910,650,356,858,089,376,927,
720,114,266,941,152,268,917,093,974,840,909,407,086,661,659,371,546,463,133,
454,845,125,423,340,323,691,258,927,742,988,031,288,872,505,317,103,726,788,
561,620,022,440,306,875,998,390,080,388,774,043,289,171,857,074,557,430,396,
282,345,922,229,378,331,398,967,970,357,508,386,822,500,655,949,554,524,039,
920,838,400,872,647,260,409,088,152,716,262,453,051,550,321,406,614,593,352,
377,657,245,816,730,307,277,567,673,199,967,734,163,546,417,594,609,611,130,
315,145,761,912,697,326,274,786,447,480,819,023,510,158,908,663,190,280,852,
198,829,696,700,111,831,546,629,498,870,310,055,525,623,072,444,578,243,434,
850,333,345,266,759,935,591,623,146,014,373,957,997,874,738,892,307,698,973,
408,759,539,771,910,118,300,151,663,180,324,883,283,478,466,072,503,282,377,
740,020,273,563,733,070,319,195,144,425,032,243,953,742,093,560,893,363,083,
778,790,539,541,621,340,003,193,723,449,501,042,824,429,449,368,514,600,650,
275,483,358,342,913,029,660,912,850,013,072,662,455,688,273,895,598,824,649,
542,786,838,221,374,874,147,169,337,646,155,239,551,681,674,966,410,070,352,
533,341,175,733,017,574,442,865,746,443,541,053,281,284,928,218,278,533,689,
129,071,136,380,108,219,811,062,356,159,337,194,539,742,932,728,846,685,937,
912,850,720,106,343,900,493,887,757,452,368,120,634,992,146,244,530,274,772,
899,425,943,159,084,218,477,768,440,308,821,105,675,567,137,956,321,258,098,
491,985,320,861,030,747,530,572,957,976,133,503,070,460,091,560,302,506,409,
526,749,513,715,317,632,743,434,756,584,803,225,737,492,386,333,552,117,941,
599,061,066,080,453,981,068,892,125,869,551,951,701,071,864,533,987,546,070,
113,460,288,993,247,943,877,787,442,036,651,775,016,907,702,380,893,358,301,
624,254,877,459,819,126,267,645,836,335,466,700,575,842,460,748,029,630,238,
067,051,197,066,272,998,446,186,263,992,564,554,746,644,972,615,910,748,816,
291,258,804,293,688,881,992,036,898,671,668,265,755,179,810,056,298,147,929,
118,932,906,471,839,560,909,311,273,536,862,807,526,031,615,852,118,337,797,
382,750,020,481,386,249,588,710,602,986,955,104,926,676,245,111,377,358,902,
685,992,344,602,740,872,127,128,131,362,926,684,293,469,736,936,545,881,267,
733,747,217,819,650,164,514,382,832,617,107,591,552,087,608,670,149,771,264,
828,167,560,956,177,769,791,420,385,251,165,549,972,509,496,002,023,569,696,
736,293,744,856,283,039,271,161,839,751,590,234,485,469,863,051,103,149,446,
080,209,133,193,317,609,566,841,387,582,155,085,491,450,826,548,309,834,945,
217,301,479,629,656,805,956,679,000,352,437,674,928,814,750,764,116,569,838,
627,908,573,602,967,720,248,766,551,816,873,053,313,191,454,439,900,024,586,
632,228,645,589,211,405,897,011,196,798,108,424,051,862,823,715,883,626,576,
445,670,550,341,993,053,890,959,336,266,240,141,280,421,121,643,240,112,647,
943,490,951,333,671,196,711,824,435,783,519,362,326,094,360,109,007,357,726,
799,544,543,205,048,399,494,518,959,497,350,706,079,855,483,874,619,700,593,
601,917,783,591,954,706,501,270,061,486,799,572,394,561,359,117,767,233,787,
543,134,557,654,177,019,954,191,657,173,659,095,168,747,617,280,103,479,687,
951,145,751,160,287,495,582,202,030,136,649,525,830,612,495,013,714,520,106,
240,474,150,313,416,516,447,421,175,251,981,149,024,762,607,498,813,788,513,
345,147,087,504,731,574,883,571,334,504,144,926,879,563,462,553,989,632,702,
617,672,721,742,809,506,821,246,677,308,771,761,189,752,040,872,534,669,975,
934,893,774,187,440,937,021,649,289,346,202,583,465,385,628,767,367,211,506,
866,501,763,970,815,771,632,815,525,405,528,670,663,289,378,802,536,108,080,
309,971,923,463,912,155,264,955,636,864,151,746,044,015,122,376,309,931,388,
225,009,330,145,209,663,246,923,643,530,588,846,625,132,967,380,079,657,112,
425,150,177,240,787,207,602,648,665,881,700,071,101,586,026,772,231,592,238,
818,360,388,861,256,222,301,967,074,848,343,484,684,341,919,634,709,729,616,
371,862,867,950,133,081,729,695,644,640,321,463,776,540,147,692,517,189,874,
107,503,433,680,107,466,046,701,448,559,941,365,116,168,493,003,068,884,857,
671,221,218,333,020,357,261,717,383,452,484,896,100,645,037,063,148,072,355,
656,391,403,714,477,432,892,330,860,901,772,358,988,579,874,056,886,004,286,
773,531,419,056,828,682,935,863,948,064,111,683,665,223,034,388,635,989,767,
878,773,799,168,099,290,673,575,275,949,968,008,655,896,064,316,499,794,997,
494,828,072,569,777,645,460,707,583,581,908,489,350,283,937,422,485,274,112,
945,965,268,610,371,352,316,281,403,294,922,236,876,234,319,142,033,138,539,
863,160,155,593,891,679,783,480,676,600,655,028,477,050,766,173,542,239,090,
119,337,256,913,401,977,561,996,172,989,076,829,782,990,950,750,701,837,776,
502,265,777,825,721,366,300,889,669,247,591,227,333,536,473,816,855,787,484,
770,235,318,989,331,974,543,354,378,076,632,761,974,734,548,716,562,489,284,
373,100,820,458,617,690,192,348,444,145,590,262,300,667,255,211,778,651,405,
545,746,510,387,212,527,177,493,598,271,885,877,720,920,418,820,624,042,472,
195,196,461,302,098,013,342,094,192,467,715,979,837,115,169,939,648,482,838,
482,974,341,900,922,774,771,632,865,913,507,263,006,443,333,876,121,600,131,
259,918,078,528,187,112,158,112,186,782,757,073,190,997,813,984,419,093,415,
957,179,617,132,204,870,177,820,480,986,552,209,220,283,473,073,094,271,447,
124,390,741,795,071,778,973,310,483,287,905,811,287,699,406,845,273,924,673,
226,004,570,172,868,788,930,652,198,579,020,118,772,587,797,854,196,857,305,
892,134,016,512,465,375,866,368,024,632,801,837,059,944,759,199,111,818,209,
391,165,390,561,399,272,400,210,674,992,583,294,035,414,029,850,027,399,555,
342,880,301,056,378,537,786,531,777,030,095,554,038,227,047,327,135,158,743,
088,771,823,080,547,488,742,524,199,855,505,912,144,546,211,253,875,597,307,
930,833,413,126,066,214,282,858,302,000,335,213,764,434,908,518,053,297,887,
387,227,358,328,855,087,437,703,634,510,868,326,750,080,633,965,205,451,239,
054,325,520,330,149,873,135,780,145,928,443,204,519,914,366,470,085,878,620,
850,991,763,714,350,545,727,604,324,809,242,237,804,155,995,244,629,232,257,
905,624,652,860,280,712,533,924,673,526,208,687,511,336,667,899,327,036,360,
513,682,950,393,775,257,476,166,300,611,313,627,291,866,333,457,087,329,974,
785,076,989,366,068,912,276,584,345,212,045,077,391,536,707,057,120,494,708,
446,520,676,967,468,346,810,436,950,343,634,074,404,700,191,255,615,181,320,
143,784,644,009,044,112,879,065,534,039,452,882,487,664,352,678,502,034,535,
824,882,544,604,435,359,756,228,917,659,383,967,641,103,562,172,815,373,055,
103,644,699,248,619,935,074,294,762,223,810,451,011,989,556,599,741,580,147,
090,578,023,976,146,822,688,103,140,065,525,568,714,118,419,730,940,688,958,
473,194,832,280,269,691,157,333,959,682,573,308,188,251,932,290,891,020,076,
496,727,101,057,372,025,937,117,405,072,747,970,508,250,393,279,219,734,672,
073,786,171,359,161,453,856,855,343,195,890,896,636,544,321,535,701,929,069,
432,489,722,782,435,489,927,022,655,808,743,127,088,941,780,305,315,162,417,
617,084,735,588,086,396,537,036,393,792,809,418,707,390,607,237,574,851,459,
360,906,623,740,278,368,818,994,595,747,883,146,024,182,408,386,155,528,674,
769,513,912,359,241,317,221,054,296,761,606,861,201,084,561,557,019,035,097,
623,226,519,208,755,573,553,019,601,057,444,428,865,718,553,385,579,809,497,
476,388,110,201,868,550,918,709,432,133,350,836,135,246,409,101,102,922,644,
070,609,850,856,207,160,414,971,091,891,554,193,075,169,147,757,363,871,573,
063,365,647,248,772,700,641,645,134,486,566,834,285,456,220,283,033,320,838,
735,625,020,340,652,713,754,362,278,291,955,026,540,132,609,010,751,863,567,
282,431,335,035,966,359,744,815,032,963,204,677,873,021,255,508,830,627,003,
173,097,379,033,517,859,888,612,041,179,407,040,456,385,567,800,679,051,276,
026,857,495,399,977,088,456,603,484,060,409,452,535,721,462,367,682,478,578,
178,936,474,283,197,787,396,535,394,331,101,920,241,639,982,392,049,592,220,
118,369,833,431,844,512,666,291,695,179,740,138,565,992,588,732,873,622,342,
796,682,016,887,136,648,575,760,967,335,337,749,968,962,107,037,204,923,652,
246,395,864,141,615,389,949,264,743,022,300,786,245,858,904,209,017,166,126,
971,549,073,504,057,413,532,938,421,690,158,009,049,668,757,469,910,792,149,
341,317,966,942,478,249,450,271,685,553,699,926,746,588,664,072,268,934,276,
332,379,409,943,175,975,088,748,361,298,860,921,148,769,460,534,360,089,695,
542,706,274,748,344,965,781,614,837,514,698,155,374,515,995,504,629,284,849,
451,305,893,358,592,772,788,585,373,411,141,381,067,211,545,207,916,172,780,
107,060,427,789,526,057,914,534,640,398,874,767,165,821,295,601,379,445,298,
877,862,023,814,462,341,463,033,352,330,541,998,873,719,716,209,578,436,350,
923,333,597,113,877,334,731,244,290,621,505,170,219,297,383,487,072,118,458,
038,552,227,799,078,483,319,237,469,594,839,601,407,131,877,864,565,317,064,
727,306,257,549,594,876,417,303,877,236,750,872,839,487,905,303,899,055,495,
947,289,640,202,868,996,852,176,792,112,432,734,066,196,115,587,770,961,846,
655,257,462,499,482,702,471,254,417,517,652,995,878,320,723,173,611,010,849,
255,271,974,488,096,121,901,435,858,280,080,860,196,097,702,671,229,888,963,
433,202,831,781,987,070,273,039,425,071,467,599,816,705,005,715,217,888,101,
515,732,233,158,489,172,924,679,088,436,109,907,427,158,105,797,843,872,512,
707,540,081,668,019,290,359,028,870,643,371,536,594,010,043,842,806,339,481,
566,184,786,030,936,505,134,471,413,658,840,632,070,099,049,895,352,821,093,
964,502,521,148,545,896,979,597,238,233,755,202,488,439,261,307,850,485,448,
553,186,430,859,032,505,057,576,894,479,220,813,173,662,352,028,607,128,650,
042,730,775,140,487,983,465,112,290,872,193,154,772,741,954,838,370,686,676,
000,849,077,199,731,420,838,344,825,372,288,754,776,748,965,591,186,916,782,
174,719,607,877,753,445,081,276,075,472,206,625,759,037,353,877,763,537,845,
194,136,734,566,604,198,254,276,929,632,602,394,744,218,127,060,852,831,190,
042,671,494,133,025,041,236,599,586,110,807,415,843,978,292,044,700,846,049,
285,584,489,252,794,818,134,173,701,560,858,056,134,697,089,780,509,121,022,
082,708,150,574,987,178,446,404,881,414,667,290,058,275,630,852,982,187,245,
269,702,512,387,125,522,415,509,217,256,805,271,564,815,101,291,127,013,799,
979,451,332,522,107,077,200,819,104,430,740,670,941,287,147,910,768,809,411,
091,150,413,002,114,050,785,729,672,332,273,515,603,087,412,285,414,296,597,
461,401,802,659,059,239,131,214,005,226,806,486,220,574,601,069,278,182,555,
566,291,841,346,053,529,076,780,846,608,440,536,226,510,629,946,796,657,211,
978,449,223,266,706,208,692,530,480,015,029,695,680,700,578,028,243,257,253,
701,622,515,067,682,724,747,965,862,288,871,422,945,926,125,429,614,713,181,
937,358,114,060,814,142,783,970,097,131,461,225,181,981,305,284,544,243,064,
413,281,712,015,853,215,548,563,891,728,420,797,679,942,223,298,929,725,510,
327,433,737,323,973,740,950,666,661,383,371,943,993,612,026,602,972,020,871,
562,659,647,372,780,648,864,033,769,358,827,155,908,409,488,351,907,725,360,
362,854,654,605,426,964,821,892,241,363,700,862,392,349,132,856,597,652,705,
288,929,066,721,989,300,516,450,407,918,257,983,968,752,544,050,514,167,257,
205,674,320,937,789,102,675,125,725,817,452,465,355,580,412,951,777,051,565,
886,716,469,408,459,367,197,697,567,483,401,385,444,151,863,544,079,460,591,
030,773,015,639,880,846,469,115,393,727,526,156,320,257,935,106,974,394,293,
044,770,087,630,725,753,998,745,970,275,284,672,752,686,981,026,859,263,801,
558,472,098,980,063,091,887,847,025,365,694,600,313,772,659,746,088,849,510,
181,298,738,538,863,786,532,356,169,376,305,552,110,436,169,767,323,943,466,
307,164,071,183,308,627,044,175,528,680,496,462,020,135,036,104,037,137,503,
167,321,747,198,334,645,827,908,990,450,432,645,443,600,736,259,468,458,155,
284,011,679,938,941,186,212,826,097,639,460,197,450,594,023,576,758,541,921,
953,913,867,900,534,222,683,484,560,269,975,311,272,153,164,130,701,628,131,
282,341,834,765,704,355,808,462,001,343,433,429,447,515,341,518,323,763,522,
889,217,599,082,279,872,110,759,929,107,583,648,367,498,940,888,548,521,330,
893,029,834,582,515,308,092,446,486,629,144,598,678,940,159,132,214,568,187,
379,124,792,857,972,806,040,732,000,389,469,802,638,717,407,024,218,708,360,
710,844,948,456,726,027,575,012,323,757,144,204,718,332,567,375,988,369,043,
737,435,435,618,972,789,457,694,758,078,520,825,058,642,005,949,095,338,547,
236,828,406,427,419,675,996,056,004,164,523,569,994,672,339,304,475,939,414,
630,043,096,144,149,404,700,440,130,062,271,448,462,921,311,253,837,809,605,
698,181,634,108,800,565,395,927,131,678,727,837,756,065,812,356,625,098,064,
569,155,412,392,773,173,742,676,447,954,373,271,242,335,176,319,972,405,979,
447,014,195,343,962,487,326,956,064,583,976,683,491,988,939,337,740,470,857,
026,803,575,602,763,630,067,010,417,690,793,335,427,855,078,448,607,023,101,
599,858,283,574,643,841,303,408,816,487,771,156,336,082,440,568,670,541,111,
133,548,729,874,129,849,170,746,395,084,858,426,665,412,445,545,555,578,094,
091,809,328,053,211,974,240,204,188,869,693,402,830,958,125,070,654,381,065,
920,697,688,320,238,396,902,781,736,886,017,156,195,220,640,504,693,655,049,
581,351,557,116,446,391,285,353,457,950,198,272,090,772,798,521,434,976,194,
005,593,148,119,463,537,555,562,620,730,670,887,696,396,115,100,058,908,441,
432,987,955,313,967,419,670,964,131,265,784,410,016,397,475,477,552,508,273,
765,066,131,710,586,336,784,952,396,030,555,758,165,601,115,279,692,685,847,
219,755,401,228,959,674,303,583,200,156,609,816,874,982,911,476,105,282,831,
073,597,216,035,230,878,678,893,404,208,981,213,864,513,735,020,994,022,992,
613,328,762,577,628,507,100,000,155,029,658,479,472,302,188,964,417,312,027,
067,138,329,141,703,523,796,732,991,244,706,833,258,808,091,139,070,822,165,
036,999,427,217,347,715,885,050,976,208,372,199,278,089,787,215,696,468,184,
977,462,674,403,677,380,907,109,360,568,626,506,738,986,427,242,627,865,880,
375,648,583,267,716,757,186,928,485,255,200,491,183,294,171,123,013,233,757,
607,556,765,409,764,156,534,246,822,739,537,338,381,730,409,988,124,602,706,
365,761,871,904,035,374,957,507,326,151,237,589,341,700,708,275,824,003,104,
262,504,637,065,445,264,408,281,281,588,236,502,740,756,939,352,583,865,354,
591,824,883,013,645,766,791,878,870,286,515,418,516,226,785,585,696,608,616,
997,300,441,163,195,410,950,085,745,591,826,760,938,385,742,395,034,044,925,
303,689,368,458,816,037,564,193,185,585,810,294,117,790,372,698,788,227,826,
307,702,292,215,795,437,899,286,547,701,492,494,153,532,042,760,662,212,414,
973,231,538,218,263,469,973,395,396,402,239,471,021,859,360,746,062,551,049,
076,987,417,175,295,387,233,284,000,319,518,903,209,093,825,647,927,886,445,
390,969,399,071,036,600,978,388,206,705,770,157,425,890,471,599,945,581,761,
474,291,216,747,823,143,715,356,208,685,615,825,711,018,241,850,444,868,779,
103,942,314,082,258,422,988,587,776,133,082,192,221,351,444,053,075,439,246,
483,097,276,202,576,853,842,044,208,244,409,873,006,470,486,327,173,503,398,
548,238,400,803,980,161,016,501,368,455,650,481,117,345,209,117,936,954,980,
251,325,896,904,405,087,434,896,050,891,600,223,942,365,903,757,344,773,276,
432,785,653,482,835,649,101,308,303,146,036,792,341,386,021,749,052,831,045,
576,265,924,411,903,200,569,401,159,405,521,913,600,954,659,300,944,735,920,
023,278,913,333,812,769,473,892,420,231,891,925,609,442,604,586,662,718,552,
595,482,727,774,015,041,444,740,088,337,480,593,677,907,365,573,352,743,346,
573,022,184,049,461,905,851,891,398,243,844,872,133,986,241,182,297,710,235,
044,432,252,517,532,279,449,443,668,166,590,227,588,266,731,425,779,915,977,
064,606,732,678,242,018,309,238,313,633,795,193,626,064,369,613,188,259,051,
908,292,483,772,968,859,429,166,728,107,689,336,425,829,878,348,047,272,576,
316,899,960,973,532,388,917,535,108,016,876,906,334,474,739,123,595,003,405,
159,012,691,803,509,422,305,190,918,305,298,074,617,139,267,160,613,192,977,
260,551,500,262,175,451,490,226,602,144,876,488,764,753,661,924,971,428,644,
148,248,297,659,086,347,848,037,399,843,844,071,282,684,008,195,919,699,086,
518,666,965,690,080,311,587,746,086,949,670,869,783,988,026,397,181,147,994,
185,577,076,504,861,187,883,807,794,935,006,025,985,304,367,027,941,449,331,
417,161,337,838,370,347,582,234,654,438,247,021,121,447,245,475,127,023,875,
914,485,237,099,892,535,465,505,979,577,759,665,898,544,040,785,684,400,415,
642,946,457,335,387,092,208,179,907,462,785,976,629,298,240,498,147,411,581,
565,232,329,672,091,585,384,109,366,267,950,194,381,270,172,170,838,338,503,
848,402,952,488,142,901,764,229,122,424,020,298,815,378,562,717,606,672,432,
675,587,078,987,908,592,826,246,071,943,243,195,780,268,741,397,772,049,923,
601,532,703,297,925,060,383,316,256,150,969,522,043,674,119,534,062,114,049,
204,138,530,671,102,290,187,238,096,620,769,892,395,557,110,154,409,805,321,
274,650,510,396,639,692,857,422,283,875,809,710,664,893,809,260,793,135,700,
734,485,239,353,349,091,307,218,339,574,808,174,038,100,610,301,201,761,444,
110,486,907,018,538,800,655,258,415,214,839,587,658,425,894,081,674,124,133,
682,292,254,177,497,891,932,244,697,331,351,751,974,699,612,042,995,704,934,
151,841,705,428,059,318,319,480,630,788,594,280,449,601,961,079,775,090,256,
780,881,117,047,451,881,584,337,331,018,153,830,940,250,030,343,260,035,321,
272,553,105,443,004,920,538,168,972,385,658,932,346,087,230,843,808,549,216,
430,421,688,769,577,916,603,469,102,117,985,618,968,905,074,955,315,476,300,
172,590,387,421,836,088,878,705,604,754,944,951,971,504,998,449,061,974,891,
509,593,274,153,489,122,590,384,227,904,948,282,454,426,226,457,309,074,096,
963,037,600,075,638,465,800,379,050,312,425,821,816,053,977,731,522,683,082,
997,016,800,281,520,187,605,322,756,066,507,337,723,291,882,400,627,957,353,
500,728,059,469,929,365,354,770,001,780,446,638,576,600,434,047,396,732,979,
293,189,894,429,528,581,640,313,830,562,456,009,642,696,153,225,393,939,037,
912,020,990,990,954,660,477,425,919,043,121,124,274,270,936,545,336,230,426,
870,665,936,022,780,741,216,343,688,125,103,168,958,368,214,845,208,545,464,
330,045,105,634,256,106,469,619,112,840,924,507,919,263,823,049,396,003,704,
925,378,095,675,943,551,232,931,317,932,790,473,887,761,873,813,204,508,238,
368,933,220,821,855,309,510,873,517,450,763,035,686,025,035,153,427,331,993,
456,164,131,194,098,440,712,870,709,386,411,105,631,557,969,677,525,984,932,
760,251,047,242,333,394,446,811,337,148,034,234,046,971,681,914,645,841,056,
113,577,485,419,828,692,622,656,996,658,194,585,519,575,352,644,631,217,610,
269,317,561,918,436,480,457,900,518,594,086,219,086,171,343,240,184,728,749,
031,873,378,103,768,359,235,523,566,498,880,879,723,178,199,516,499,352,429,
104,437,211,557,079,477,425,466,898,770,186,102,465,842,016,765,834,604,150,
300,889,632,466,940,891,253,083,500,192,698,543,072,297,295,752,511,772,388,
062,244,888,131,284,476,761,303,354,227,986,694,479,364,124,901,394,952,872,
857,611,138,827,199,856,097,709,598,678,513,297,233,820,617,527,553,187,223,
686,674,652,905,249,324,527,754,677,193,918,423,506,490,493,308,752,154,772,
866,541,798,288,062,057,027,445,053,815,148,928,498,637,243,911,004,266,314,
340,460,845,602,058,981,328,513,916,192,714,808,998,493,880,954,590,168,979,
023,105,584,939,453,440,331,826,170,039,135,691,836,080,474,254,228,303,036,
798,851,424,606,435,390,698,882,651,517,700,676,182,002,686,676,582,245,385,
547,713,790,145,064,706,326,584,412,620,424,136,552,982,188,064,662,635,295,
981,411,770,248,432,038,761,570,770,698,454,557,757,197,051,198,256,998,430,
981,200,686,356,939,551,205,103,639,716,783,762,403,874,503,365,151,743,096,
502,836,704,814,637,517,008,103,046,181,359,803,453,341,581,116,899,997,767,
999,471,833,102,526,888,378,625,011,801,577,487,873,134,544,701,118,616,975,
894,870,841,963,390,021,988,949,571,047,474,804,832,849,197,508,730,377,835,
591,863,734,712,648,624,307,479,557,492,322,327,826,971,326,593,659,214,770,
919,526,418,432,926,064,563,587,279,094,097,747,103,161,947,963,288,464,284,
004,863,817,138,137,202,283,845,703,398,824,883,840,114,823,982,473,734,854,
405,387,192,753,376,581,751,015,374,969,401,982,568,140,892,581,644,403,038,
578,458,760,959,675,299,993,261,826,996,942,393,770,413,216,384,291,365,762,
294,509,022,466,252,119,553,510,832,150,205,636,417,985,348,435,122,210,939,
352,047,386,429,113,111,834,228,387,968,767,515,414,535,904,084,115,106,579,
825,665,635,680,025,358,655,151,150,637,555,844,608,416,175,717,801,321,510,
659,026,434,294,309,962,007,030,938,335,148,124,864,684,385,938,086,262,919,
904,289,043,598,144,404,138,549,211,609,143,469,625,548,090,383,290,833,699,
121,054,514,276,922,922,416,497,253,779,839,292,889,547,947,294,655,403,770,
978,629,689,907,158,907,728,526,002,117,678,964,224,492,024,198,939,437,871,
636,348,403,235,657,540,164,765,770,868,089,506,850,649,718,625,216,429,751,
939,848,361,698,172,739,388,276,999,141,306,547,486,315,443,138,602,008,613,
672,530,038,822,923,392,790,237,822,437,212,337,860,954,300,379,382,184,462,
842,803,265,377,181,307,500,371,921,424,912,327,772,261,107,748,288,634,065,
548,963,427,611,045,893,967,190,075,361,642,651,888,374,125,235,231,542,397,
262,606,851,704,230,056,780,584,231,528,816,876,345,294,221,673,592,916,962,
252,005,778,042,030,686,920,886,065,135,280,304,545,440,317,947,517,886,394,
216,708,737,958,164,917,802,442,818,322,115,862,784,731,499,659,273,718,916,
435,719,495,049,683,074,088,432,934,999,763,028,074,696,925,583,099,150,945,
321,243,833,066,622,823,385,487,610,138,517,696,787,515,444,420,016,734,870,
047,715,743,162,022,336,096,658,064,692,287,616,276,717,347,633,309,506,064,
208,904,091,273,827,065,661,427,351,676,686,384,027,194,907,609,826,260,036,
207,844,659,930,800,866,757,799,403,455,944,544,230,369,040,939,495,790,044,
379,800,744,448,634,722,480,896,023,862,918,412,123,685,170,422,358,214,351,
872,428,688,653,384,282,170,842,221,669,314,536,631,559,680,554,659,899,686,
912,895,346,020,442,386,560,576,363,567,513,628,687,924,790,392,452,076,073,
303,834,371,931,731,421,957,138,423,033,754,915,287,623,096,723,028,031,524,
207,930,587,372,126,775,595,783,879,442,423,377,556,566,768,913,145,419,451,
710,697,926,544,873,996,417,044,274,914,749,652,299,452,299,251,874,307,046,
603,201,001,344,280,971,355,077,565,773,614,478,087,285,803,333,453,153,257,
101,777,469,477,181,729,352,176,596,212,185,065,119,204,565,100,691,947,663,
062,887,989,953,523,959,994,305,063,543,236,623,340,560,693,851,153,559,568,
572,578,439,995,744,751,876,969,679,769,619,855,426,585,184,908,159,850,655,
665,911,924,075,002,734,580,115,462,826,539,840,986,330,705,631,052,298,079,
161,730,552,278,644,211,580,528,117,191,894,509,986,899,984,546,354,714,368,
259,628,313,499,139,185,085,318,650,157,754,166,616,012,779,491,283,538,770,
948,255,738,967,471,412,993,884,124,000,085,419,790,924,180,511,799,049,910,
963,876,580,701,220,166,139,275,328,898,348,540,052,383,583,591,727,764,696,
721,616,509,065,486,904,431,524,205,373,991,473,265,117,099,930,985,859,360,
250,323,053,686,307,050,651,727,820,118,634,707,873,080,199,398,840,877,267,
724,164,595,396,611,984,418,658,080,228,985,215,214,367,545,677,405,200,792,
215,487,026,126,905,849,773,708,740,936,020,658,637,483,678,798,179,809,254,
420,720,177,284,407,639,946,885,306,953,633,384,166,335,344,562,913,187,364,
263,485,213,625,987,724,311,604,501,004,687,784,488,440,293,997,909,811,744,
358,669,783,559,598,086,602,388,645,377,409,273,544,060,450,087,023,662,013,
566,945,458,395,240,939,901,655,430,052,173,859,524,163,874,320,716,187,627,
363,393,928,028,853,816,737,350,825,772,078,073,984,492,244,013,654,433,582,
485,977,823,133,853,603,066,645,816,045,607,382,503,871,944,936,141,332,825,
059,351,986,140,140,233,300,759,745,501,587,593,364,035,379,275,857,154,229,
769,093,414,837,838,053,318,544,650,522,866,642,966,513,851,408,038,575,250,
286,069,399,560,154,027,318,834,492,236,345,934,466,522,233,260,781,357,349,
504,441,864,337,520,367,059,559,847,694,735,322,398,781,945,386,816,657,313,
517,478,555,631,020,592,693,812,808,732,615,503,772,723,456,054,734,882,724,
102,193,013,650,447,503,302,952,885,627,006,420,636,809,368,120,067,107,107,
149,546,862,167,818,961,848,400,739,433,387,821,172,779,661,536,234,713,442,
543,511,338,124,972,685,327,201,928,788,531,649,274,774,614,536,509,393,245,
779,880,631,864,581,727,990,725,746,509,709,560,530,605,775,043,352,115,062,
245,107,025,836,632,576,231,094,039,099,158,811,655,207,611,706,897,305,664,
852,662,117,395,369,474,636,645,045,914,822,423,971,458,668,046,903,318,035,
943,137,601,615,119,549,486,585,634,243,599,918,412,751,911,171,687,098,667,
166,172,030,375,267,107,884,835,138,544,494,870,941,502,808,919,115,687,637,
374,447,251,980,040,610,440,503,799,581,667,597,484,901,799,091,716,713,869,
356,199,352,688,109,874,208,288,167,765,363,620,862,455,811,710,588,910,340,
237,790,756,496,313,155,073,583,214,709,454,246,871,397,110,493,681,781,049,
853,771,482,763,502,989,650,540,085,316,144,879,459,192,933,041,829,287,784,
124,664,593,493,646,169,872,354,552,155,538,187,896,957,064,959,451,796,390,
543,013,325,442,083,867,225,371,007,493,610,535,122,168,049,650,798,885,524,
161,058,361,692,848,661,655,253,527,903,989,046,915,563,288,768,949,854,993,
009,708,260,495,110,279,517,345,984,518,646,381,328,277,305,255,128,328,614,
004,322,143,732,773,615,343,771,641,785,330,625,851,721,764,056,089,664,761,
863,422,368,859,685,644,907,435,099,180,309,548,374,226,030,332,046,248,616,
558,505,674,040,401,040,590,376,088,762,705,711,207,773,710,677,133,099,602,
551,013,637,417,546,555,282,333,926,247,176,925,824,684,654,999,005,118,754,
761,834,772,221,281,257,021,614,995,609,141,753,499,081,068,299,678,214,000,
142,166,924,467,649,798,155,386,452,642,096,493,922,436,424,250,683,237,850,
192,240,259,106,825,796,251,790,469,937,594,239,769,426,351,389,583,365,280,
464,946,499,543,308,714,529,091,557,296,098,361,919,998,313,920,616,469,656,
051,870,365,248,604,382,069,856,814,220,759,017,314,598,547,303,717,075,745,
385,612,776,251,733,170,877,049,813,806,138,099,871,432,121,668,137,780,611,
646,934,997,043,606,804,934,636,987,174,040,606,984,095,909,356,506,922,856,
184,940,609,422,158,830,059,651,578,085,650,437,433,263,211,025,708,712,980,
275,543,292,426,834,687,418,879,872,304,652,016,944,602,747,862,255,271,073,
711,134,937,794,455,962,925,195,441,040,970,860,276,059,911,484,835,554,909,
928,126,516,894,716,076,016,043,495,065,414,630,610,477,544,681,313,501,274,
503,718,042,870,852,840,881,241,219,724,634,417,006,405,202,964,053,276,524,
963,025,579,258,586,879,941,562,651,436,650,302,524,059,549,588,297,353,773,
026,787,639,986,134,097,503,449,004,256,962,303,418,547,165,397,948,795,857,
718,862,668,895,227,390,778,449,494,384,657,572,808,331,763,787,297,067,035,
063,147,302,748,862,835,159,709,873,034,090,215,324,989,802,226,777,456,010,
340,924,070,078,924,728,059,170,777,016,938,494,245,021,211,012,868,142,304,
306,018,822,981,650,741,776,599,890,627,938,099,976,761,048,423,335,238,525,
110,707,623,790,017,641,962,627,848,295,388,816,007,046,905,117,851,165,023,
670,222,079,234,980,858,635,224,790,467,500,778,860,879,785,009,667,498,129,
034,339,458,457,479,320,359,195,263,938,281,672,766,134,265,541,951,814,131,
147,157,832,266,598,969,721,413,315,857,209,208,206,719,328,573,301,992,907,
707,733,151,035,185,769,859,788,597,366,178,215,717,824,927,398,886,798,384,
640,745,043,193,188,698,578,606,363,177,112,009,531,804,029,570,169,345,100,
256,275,253,437,502,155,199,181,019,896,968,380,573,905,064,076,245,847,556,
065,828,523,221,544,919,369,012,790,206,224,744,942,046,228,087,038,473,199,
069,460,353,877,470,030,745,911,424,643,305,810,602,258,125,272,318,850,997,
291,293,936,928,285,422,894,985,679,480,721,320,902,411,818,694,507,326,059,
739,356,922,006,798,542,777,737,697,716,630,871,676,085,206,104,399,166,235,
846,924,722,696,880,063,226,224,617,304,789,877,857,056,457,883,010,322,267,
173,232,864,684,668,565,378,320,464,658,551,383,482,927,869,578,134,464,153,
410,464,025,300,603,393,625,621,180,589,300,842,486,654,321,812,275,296,872,
736,010,317,703,271,832,939,774,201,965,068,528,397,658,089,308,428,019,879,
149,210,243,988,386,143,826,845,710,276,326,027,989,567,211,986,819,371,728,
440,510,674,827,108,037,490,635,774,689,789,333,205,621,363,045,576,710,015,
349,725,296,566,217,073,107,666,256,361,033,677,899,481,742,756,484,825,955,
761,136,128,119,074,001,629,487,476,597,108,163,248,005,690,464,769,189,409,
313,471,530,171,985,962,591,734,880,430,274,656,084,878,090,776,619,782,360,
099,243,502,472,583,552,336,643,120,506,750,918,420,767,404,424,047,493,968,
580,594,659,551,721,124,733,339,676,562,212,739,892,731,047,075,076,622,093,
548,683,867,039,938,694,628,603,218,664,483,165,649,556,207,107,205,114,216,
337,402,933,172,235,911,725,358,757,996,890,173,458,836,757,405,744,407,188,
311,625,628,781,207,389,305,057,989,037,781,407,430,547,478,109,747,993,511,
183,763,710,800,406,142,006,952,842,901,945,412,291,102,411,555,483,157,283,
448,611,165,340,002,336,084,521,140,417,436,723,418,580,377,017,957,926,426,
702,255,365,500,801,069,105,262,913,619,001,877,081,191,013,762,637,036,332,
290,588,034,171,367,415,709,330,080,700,807,702,247,419,256,984,799,865,391,
684,319,884,059,043,134,279,793,503,234,025,984,241,759,580,235,490,854,316,
364,938,195,077,104,085,539,585,575,152,057,597,103,909,982,691,254,154,859,
293,677,689,095,267,902,723,407,460,088,416,018,576,297,893,650,233,125,816,
884,267,891,762,486,620,248,226,006,200,080,721,340,239,962,386,321,575,158,
434,677,148,827,165,396,548,077,283,118,017,657,800,727,451,741,250,977,794,
585,726,969,755,512,528,872,832,463,761,438,638,357,342,320,919,142,479,572,
171,247,923,699,816,196,976,210,720,766,722,454,508,666,735,383,278,311,367,
432,722,166,457,441,264,385,565,551,167,662,149,832,005,984,163,750,522,958,
444,159,542,389,998,477,601,429,108,386,964,087,820,911,610,630,682,548,676,
330,663,504,157,623,041,597,056,174,237,753,557,321,300,119,344,621,224,567,
606,369,121,588,696,975,028,106,150,868,974,568,871,287,805,021,108,147,794,
086,820,674,060,507,748,836,702,894,691,499,864,522,709,549,349,694,993,157,
496,762,160,709,721,320,538,485,927,504,166,811,863,548,883,289,700,931,512,
036,277,334,948,314,519,457,450,817,444,229,334,385,374,473,901,331,438,270,
284,938,960,170,239,303,235,146,931,829,315,421,013,852,548,071,326,268,679,
228,473,640,937,136,547,929,068,175,277,791,095,312,271,942,141,288,595,994,
447,285,136,205,934,935,699,254,836,621,055,613,224,222,195,875,834,912,139,
866,061,634,273,071,682,895,895,065,692,142,839,899,307,642,979,168,957,794,
556,590,360,800,707,602,623,885,843,284,053,285,634,104,890,626,520,471,886,
249,625,716,632,120,906,094,320,459,977,326,149,526,870,051,196,709,289,696,
422,232,749,961,373,857,185,831,769,919,894,850,739,978,940,554,621,540,736,
012,350,474,198,880,709,800,128,465,523,765,778,164,226,136,016,892,156,811,
025,871,479,906,477,294,994,710,997,489,665,721,153,696,515,380,035,459,541,
025,828,717,839,602,311,536,468,151,425,244,959,834,281,880,256,085,488,144,
156,656,356,515,586,724,581,984,076,952,045,545,572,624,625,515,693,118,929,
032,394,137,218,178,117,879,582,110,989,201,860,780,801,852,935,440,716,052,
215,030,849,997,385,627,999,713,011,550,504,993,363,910,824,390,726,150,932,
850,783,247,015,708,047,530,765,352,069,006,726,873,503,611,888,350,519,097,
404,325,163,456,282,079,619,439,707,197,549,336,706,921,643,334,985,532,447,
300,300,029,711,181,980,979,649,979,909,390,228,115,518,474,989,658,747,054,
143,667,452,175,557,129,691,440,813,077,917,816,098,176,810,893,608,758,279,
555,056,497,203,125,392,844,204,601,676,149,879,498,924,406,710,609,482,795,
805,907,955,068,978,150,979,780,497,247,756,902,830,362,778,989,147,238,229,
971,201,611,353,071,709,896,846,783,620,267,492,958,340,597,132,207,879,075,
139,444,984,107,554,521,988,188,901,579,931,811,305,269,424,338,720,210,230,
552,681,667,387,088,819,128,868,783,445,732,443,497,893,112,261,162,888,869,
492,435,476,715,463,910,516,326,653,280,223,330,442,845,208,406,142,224,713,
986,294,130,065,503,739,632,450,395,933,873,907,170,724,953,660,296,136,164,
952,561,513,698,143,949,115,471,268,268,267,187,041,102,169,654,443,201,717,
107,079,544,689,661,149,378,474,506,595,973,558,272,765,211,385,346,044,135,
852,164,033,106,691,687,882,493,759,542,932,713,557,075,590,862,216,750,409,
486,343,836,995,740,179,488,524,411,582,408,414,505,612,206,766,488,408,450,
375,698,736,409,918,768,004,324,091,739,656,360,244,265,554,456,158,666,471,
454,040,934,133,961,426,407,116,612,955,862,100,701,114,420,798,087,515,941,
482,929,342,411,075,124,423,526,672,654,773,360,090,933,810,639,918,314,878,
697,189,636,241,576,838,705,515,063,451,104,976,015,998,461,358,740,324,435,
214,520,103,167,206,367,424,956,395,886,193,445,327,325,132,892,238,554,949,
633,264,752,377,594,385,270,504,635,941,002,223,521,704,674,796,674,304,848,
883,796,751,093,433,594,070,368,893,980,682,219,466,771,537,754,032,200,906,
257,879,070,582,273,564,194,560,832,469,691,193,254,034,640,164,314,993,448,
992,510,044,034,366,783,987,599,359,665,310,739,119,166,842,011,259,261,419,
818,207,249,208,813,019,670,348,436,635,960,760,614,001,723,432,520,166,925,
321,466,365,516,090,641,398,940,117,616,467,307,316,725,604,951,107,110,699,
488,447,486,749,593,068,529,276,518,426,440,361,947,858,064,413,472,306,220,
683,570,259,072,801,580,621,879,136,661,229,428,907,654,482,172,556,169,026,
192,724,136,048,146,001,059,310,392,209,979,788,531,424,287,225,973,047,014,
134,533,815,765,959,950,309,560,366,795,879,325,145,322,628,058,314,985,672,
339,501,762,214,159,893,686,863,968,414,705,095,454,561,036,005,709,381,808,
595,257,263,645,609,101,737,849,598,966,374,596,323,792,642,263,136,478,572,
894,873,404,184,226,833,673,270,291,103,721,185,858,671,280,504,236,629,195,
704,905,883,124,271,426,619,740,724,332,139,039,550,137,447,942,509,696,928,
530,716,789,561,520,545,831,892,078,150,119,867,775,886,860,519,940,739,067,
931,677,141,030,651,926,949,749,322,531,161,424,366,137,544,403,490,013,039,
223,947,257,717,106,081,741,032,612,225,477,592,159,188,089,960,767,202,498,
891,551,983,867,282,950,719,652,681,135,293,766,856,113,202,597,349,803,019,
825,206,494,262,216,389,247,131,697,767,664,855,855,730,370,352,100,954,151,
482,079,756,748,057,476,357,915,597,892,537,781,734,136,421,169,966,557,140,
085,281,918,115,641,279,313,294,869,772,551,854,643,898,170,612,631,635,263,
612,824,515,266,461,416,500,812,327,216,268,983,043,387,003,007,123,358,486,
181,565,971,317,570,479,688,703,560,963,686,229,714,725,372,151,861,066,103,
002,389,323,197,157,535,077,238,682,492,135,735,778,176,220,013,817,491,681,
436,835,817,177,557,267,330,426,048,817,360,979,736,009,646,817,464,251,333,
236,625,151,849,998,224,208,124,166,789,307,938,489,071,722,397,104,750,589,
866,204,135,158,075,487,080,557,119,369,152,057,995,458,238,375,646,219,997,
265,110,678,679,095,096,430,797,237,980,912,367,848,368,868,770,048,195,841,
524,990,276,655,751,026,944,147,758,593,818,682,937,149,373,880,627,999,291,
060,517,446,800,353,997,848,309,246,558,715,833,414,856,665,018,303,254,123,
944,071,839,216,814,249,736,347,329,877,574,866,569,976,867,835,274,052,725,
910,440,462,703,393,087,477,751,272,195,959,453,583,972,312,541,014,567,687,
394,119,337,778,511,029,564,665,342,052,631,578,385,820,129,206,239,655,321,
060,848,438,546,749,717,607,051,268,611,537,312,739,990,108,628,247,865,812,
714,282,988,365,574,857,035,030,924,007,034,728,233,559,643,381,793,638,597,
036,095,514,383,784,785,541,653,114,342,322,240,734,593,689,745,086,395,181,
340,771,354,305,016,013,818,739,580,334,597,959,540,323,961,364,050,854,076,
942,147,848,548,374,134,265,676,877,622,935,686,433,811,447,225,507,403,734,
248,739,727,533,003,005,070,051,528,675,009,369,918,474,570,347,682,001,449,
225,151,762,149,396,088,984,401,029,102,558,362,199,510,483,077,403,477,111,
697,904,049,640,292,675,797,381,357,892,364,375,487,411,787,152,097,045,250,
155,466,029,684,336,333,102,498,657,882,858,819,954,224,914,888,898,362,538,
179,609,176,475,778,122,069,177,509,365,266,876,790,048,347,843,849,058,932,
443,868,050,729,300,180,835,650,528,776,901,798,903,492,908,945,540,317,171,
400,793,877,177,532,468,536,083,581,199,833,436,884,000,693,408,627,906,288,
394,841,606,219,330,644,615,333,081,751,762,448,531,511,022,231,043,471,783,
734,157,247,195,117,557,484,897,631,865,148,347,734,373,153,975,672,237,700,
688,206,765,974,412,074,393,365,190,149,308,952,086,435,125,003,657,879,801,
667,801,974,948,645,075,396,333,267,438,959,533,230,330,350,805,765,867,807,
471,537,382,600,049,426,048,555,091,885,376,958,536,103,946,070,330,038,613,
062,410,880,971,592,764,745,868,707,121,280,134,617,902,579,965,216,229,495,
968,132,568,039,001,065,834,118,686,218,167,078,259,821,603,311,317,034,023,
020,495,810,680,529,293,879,765,970,328,204,048,559,729,318,595,069,181,404,
571,831,253,905,759,850,167,042,887,703,900,318,500,605,031,539,289,111,727,
312,261,486,267,521,522,242,904,275,918,675,505,533,781,149,723,826,343,310,
510,801,806,190,242,583,421,017,564,172,821,425,286,775,717,691,148,617,004,
025,126,361,335,403,466,808,361,284,964,019,945,606,908,740,455,627,132,346,
940,889,654,063,470,433,793,447,744,500,510,544,974,685,933,154,925,172,669,
001,781,818,773,596,845,205,477,448,945,340,188,060,127,452,218,990,599,961,
777,819,226,715,669,091,038,710,963,737,668,162,454,684,057,082,613,312,891,
000,523,124,863,268,403,843,465,946,928,723,637,992,343,144,695,557,763,130,
146,493,922,052,690,762,986,733,427,995,769,653,865,394,569,822,630,400,331,
718,980,484,891,120,679,293,668,528,968,473,631,830,103,320,841,277,471,985,
853,182,867,507,539,438,158,678,020,156,556,507,107,548,764,942,574,195,796,
790,663,955,479,422,166,214,760,170,793,051,664,924,526,006,952,106,338,843,
047,266,117,745,603,781,904,898,619,438,715,305,398,415,747,224,327,729,410,
252,411,026,554,570,002,880,812,542,203,791,462,211,262,505,617,556,109,087,
991,293,500,293,951,563,838,075,781,993,581,568,121,645,202,361,092,600,160,
726,823,681,617,617,899,538,727,517,014,015,738,422,231,619,827,829,367,885,
170,409,448,469,235,863,213,665,518,806,760,847,224,782,917,285,421,717,374,
704,038,282,932,820,229,112,011,840,366,390,732,996,078,697,088,045,031,755,
776,331,198,906,356,270,103,043,685,367,094,389,139,034,679,702,560,218,472,
698,125,002,363,964,276,288,792,387,331,005,594,968,941,219,986,688,932,323,
986,870,588,099,863,396,006,729,312,479,304,949,992,276,152,314,711,913,982,
435,284,423,473,951,701,942,398,776,054,966,402,505,740,999,612,337,438,671,
767,847,710,125,159,931,336,721,611,756,483,114,153,109,067,014,802,045,668,
845,673,220,119,048,513,560,794,498,052,771,390,953,469,921,100,321,034,117,
046,719,200,377,529,483,646,452,190,761,678,151,283,700,419,154,101,127,540,
949,429,942,446,205,837,673,754,814,294,595,243,084,831,927,426,948,118,108,
578,316,637,917,453,598,471,076,878,027,465,862,138,593,109,310,502,878,569,
675,919,983,201,557,997,195,515,071,305,482,627,617,764,548,470,153,893,350,
086,582,527,397,986,950,345,198,863,476,691,335,348,660,240,596,574,288,188,
233,695,784,402,607,709,856,368,899,841,776,706,431,757,322,641,042,688,690,
704,517,352,977,528,843,307,360,815,066,615,749,779,613,436,821,793,128,823,
550,077,615,742,074,767,487,706,050,782,031,321,197,614,676,011,613,388,527,
307,580,199,167,095,455,655,582,122,006,771,042,044,318,642,983,684,420,345,
190,654,059,694,066,377,885,659,281,372,930,993,008,489,070,228,465,514,242,
241,106,775,993,141,402,785,334,791,420,681,819,192,871,772,462,038,532,894,
337,703,514,107,295,447,444,137,422,721,723,614,753,353,981,306,975,536,804,
797,069,735,748,732,302,328,331,650,951,369,594,940,879,193,736,296,530,383,
099,717,751,197,779,505,229,618,527,116,010,092,366,622,705,019,139,661,430,
410,499,459,025,718,158,443,033,204,984,858,250,923,321,784,074,046,832,162,
226,684,879,980,166,096,944,794,120,434,674,208,260,485,753,417,201,775,510,
013,101,666,265,711,880,884,299,097,092,124,486,742,704,808,051,538,459,925,
402,101,739,359,153,705,126,389,722,149,921,149,965,275,615,662,290,720,175,
295,802,442,810,138,850,300,348,189,313,523,267,760,581,277,065,629,740,761,
258,475,814,897,522,725,555,052,271,798,316,202,105,566,835,108,261,640,918,
139,170,769,845,946,390,652,567,594,678,249,627,330,598,863,403,253,347,045,
458,760,850,785,097,740,815,717,864,787,472,620,503,865,816,414,938,317,945,
915,822,358,569,436,648,091,691,179,424,914,021,149,262,636,961,696,734,485,
415,291,736,917,770,853,572,987,467,218,048,534,454,661,252,864,645,752,633,
848,639,469,973,262,164,023,014,610,806,016,564,287,491,391,296,198,896,713,
459,571,646,508,378,091,004,847,572,994,584,886,957,623,652,108,027,870,012,
257,967,445,725,007,893,109,414,494,455,123,854,189,796,243,246,617,666,457,
309,087,207,181,123,372,798,193,168,237,260,397,847,915,836,490,021,297,252,
572,319,194,510,708,084,225,687,798,013,925,434,949,436,401,708,842,760,524,
489,557,328,365,061,957,218,858,988,772,541,201,429,473,326,440,673,132,829,
036,164,951,930,330,689,881,215,383,973,310,183,663,711,320,649,371,897,511,
127,729,243,664,130,116,868,334,114,486,917,481,117,587,525,455,415,499,416,
182,151,571,266,691,226,236,674,532,769,049,821,251,330,763,052,857,632,372,
865,039,706,009,375,698,096,478,064,908,059,050,046,399,417,036,006,058,289,
609,741,705,249,728,097,546,029,341,053,521,186,276,875,228,151,294,052,015,
594,085,281,552,102,194,838,142,338,731,519,827,663,932,061,191,395,938,298,
188,045,391,464,297,762,370,937,189,540,109,588,650,857,725,190,755,885,735,
959,806,077,235,733,640,090,467,225,619,322,880,330,741,829,830,394,730,826,
793,667,478,032,738,812,682,633,832,676,290,111,674,474,119,384,011,437,654,
216,083,430,075,245,680,118,883,020,026,841,912,995,363,668,921,200,170,100,
911,057,603,323,877,561,354,518,755,285,554,495,180,332,771,524,764,250,483,
962,416,467,277,504,464,137,198,543,869,356,713,287,148,534,663,716,968,543,
615,796,762,382,059,861,588,556,361,639,955,884,847,952,730,579,130,183,120,
517,897,586,399,603,034,558,657,524,560,421,885,342,481,046,232,000,325,617,
444,655,572,458,651,022,193,149,869,570,533,079,562,831,548,973,889,968,776,
992,245,986,497,796,302,197,033,738,418,460,054,880,682,612,284,207,343,640,
285,777,284,808,961,583,767,740,060,530,205,421,812,167,591,967,314,266,839,
679,726,597,636,971,614,430,439,850,686,284,248,894,382,430,815,111,386,112,
227,081,119,327,310,102,243,966,435,143,497,847,865,670,917,091,961,796,660,
766,804,635,257,439,286,146,947,263,659,747,062,758,418,320,154,878,215,043,
308,369,687,429,241,641,400,669,481,159,427,985,005,740,330,189,208,856,346,
066,677,169,572,753,641,114,882,863,425,706,856,394,709,864,838,675,254,300,
556,326,466,998,191,055,918,589,206,310,970,867,125,766,243,149,386,709,742,
978,588,761,523,495,226,510,776,182,287,841,900,603,893,788,976,572,378,087,
650,479,777,995,150,241,955,782,290,791,902,653,169,339,801,726,569,640,305,
808,070,285,812,949,889,544,783,611,079,158,919,555,896,218,866,273,441,996,
517,143,311,214,316,615,292,581,656,788,361,228,510,821,454,357,194,341,647,
324,475,564,091,726,082,252,689,050,730,718,118,099,808,410,391,981,005,014,
396,734,609,263,003,523,938,462,093,285,043,030,106,489,090,510,109,384,264,
321,234,400,482,669,566,812,392,319,199,051,596,606,128,460,364,269,311,358,
854,941,957,052,536,379,039,822,946,500,094,170,915,846,579,916,195,960,803,
816,603,925,990,013,399,941,425,210,583,661,606,329,116,536,659,708,990,392,
315,811,326,668,759,868,424,358,224,953,002,134,818,236,678,905,035,296,874,
509,510,953,027,804,374,388,285,738,637,332,128,369,570,077,644,121,475,027,
300,460,234,715,553,056,801,877,473,233,246,885,587,562,707,589,498,653,090,
037,350,142,230,182,418,560,650,733,911,186,926,567,070,628,677,423,647,484,
984,681,116,507,352,411,639,785,491,090,049,350,655,006,707,971,117,551,598,
810,790,803,163,825,868,815,742,117,008,445,885,245,874,442,122,848,325,665,
942,489,338,839,318,385,935,988,290,483,460,035,814,752,122,518,844,166,246,
736,295,578,630,149,013,126,236,575,896,107,535,724,225,757,736,642,813,171,
642,528,323,329,519,662,304,787,005,733,285,205,519,962,032,230,547,976,406,
643,587,826,305,590,812,690,640,569,141,784,740,521,488,159,534,174,100,748,
881,841,792,385,798,529,572,895,972,785,898,344,792,178,677,306,619,964,296,
257,121,460,366,169,344,478,723,513,412,797,050,313,087,401,294,904,957,657,
835,305,321,377,616,718,233,428,678,134,349,679,803,305,659,377,453,868,832,
886,699,527,102,170,746,889,284,947,963,325,267,615,974,096,457,974,933,487,
226,495,441,559,685,551,091,736,171,155,922,443,686,778,989,070,073,545,547,
569,925,601,710,334,382,543,783,767,817,036,980,215,327,406,670,789,190,682,
932,195,973,604,400,390,946,733,069,101,912,112,815,271,863,291,984,150,353,
420,551,889,985,899,900,306,479,733,368,103,852,249,988,595,720,657,645,275,
441,455,685,309,138,020,083,156,273,243,722,563,144,637,765,263,975,906,570,
531,694,767,335,137,963,628,289,433,255,914,211,119,763,471,154,536,395,362,
677,513,177,812,278,792,717,667,504,095,573,306,072,500,667,081,995,951,314,
150,157,129,687,593,482,027,803,851,089,132,846,550,691,643,657,544,037,086,
882,756,580,573,151,009,890,905,874,221,667,168,552,061,357,321,850,189,489,
242,472,636,818,233,806,374,589,669,377,767,772,884,455,950,380,975,360,345,
963,315,896,422,634,077,194,093,310,330,248,605,912,183,567,867,627,443,431,
966,569,897,232,378,121,762,804,603,633,341,161,910,654,044,694,534,161,351,
951,133,489,377,698,083,806,672,745,510,035,632,296,094,675,526,251,442,264,
344,124,034,269,822,193,601,024,249,815,909,988,380,357,661,813,789,584,922,
256,952,848,604,438,439,545,332,267,443,308,056,618,264,990,138,295,080,564,
135,177,236,369,838,700,210,452,793,476,166,853,893,006,618,520,004,567,361,
227,379,549,855,535,561,132,743,927,911,663,140,479,919,343,009,349,074,597,
058,475,412,193,488,703,451,451,939,549,598,593,622,726,676,395,797,311,480,
561,516,288,572,328,138,636,312,365,131,453,111,158,445,992,527,579,678,493,
401,471,806,331,089,021,082,289,826,452,253,311,253,866,200,668,021,740,935,
809,799,447,821,832,469,306,926,310,265,591,849,205,028,079,154,922,613,008,
482,472,134,642,216,011,507,882,053,368,931,667,080,138,286,323,452,321,666,
845,386,529,093,782,197,637,677,406,175,098,525,212,024,256,837,403,903,842,
953,432,192,255,187,460,568,801,451,728,841,407,589,963,118,171,105,357,763,
824,009,748,433,992,605,752,264,424,212,362,837,575,543,476,160,855,632,800,
349,700,013,830,984,651,931,916,069,612,324,828,530,453,017,819,877,886,601,
382,114,010,279,489,174,789,880,911,686,390,523,288,186,743,344,337,680,410,
544,115,602,118,245,932,336,235,775,520,683,413,039,327,424,348,948,590,422,
028,246,195,782,788,889,611,540,579,118,891,458,634,324,033,448,813,886,957,
965,853,424,711,784,428,851,517,710,305,290,279,825,387,752,644,716,445,543,
526,269,575,103,987,174,595,605,062,306,789,188,848,567,914,898,110,899,623,
448,865,919,549,983,280,631,478,239,560,027,877,678,453,763,912,931,229,066,
982,455,412,067,549,565,330,355,704,361,874,810,126,011,094,714,423,258,170,
950,698,538,942,880,892,149,265,352,851,741,021,438,136,267,912,424,332,589,
684,675,468,745,036,274,630,529,782,196,532,435,472,180,793,998,292,383,553,
368,158,683,317,399,982,938,340,507,226,358,425,391,540,652,872,247,636,809,
926,859,834,716,760,872,632,747,424,277,129,849,150,872,416,740,216,900,207,
273,441,250,699,644,319,458,693,465,479,329,639,540,581,524,075,387,191,893,
799,064,961,159,708,519,437,576,460,029,189,690,275,860,733,082,855,672,335,
974,305,142,633,804,291,378,066,313,676,214,050,316,753,374,134,837,543,502,
418,252,920,221,853,521,512,195,601,357,141,588,495,816,188,773,971,561,800,
513,070,245,562,363,512,052,815,368,001,729,667,592,975,292,218,936,046,292,
477,434,540,549,100,945,523,869,695,799,069,479,809,577,847,038,048,224,288,
728,311,010,332,872,578,130,087,075,467,472,379,349,192,909,228,780,061,856,
047,115,038,260,391,326,417,966,023,710,986,514,821,763,310,347,487,738,248,
055,858,001,633,641,393,483,059,112,027,005,198,429,113,872,719,477,816,419,
911,387,462,244,128,895,550,837,675,388,427,792,205,245,989,560,966,737,174,
383,564,695,635,582,465,065,506,966,846,533,064,353,446,783,849,900,349,614,
661,533,894,401,758,509,936,098,754,108,160,984,173,317,571,973,256,920,678,
644,227,679,677,283,629,782,684,398,130,037,977,925,729,014,950,656,179,579,
805,711,468,404,271,683,398,929,875,639,489,794,993,212,167,275,384,407,133,
044,836,041,124,664,102,094,897,765,048,986,403,827,415,911,864,006,536,209,
534,188,066,799,894,455,576,690,745,321,708,414,154,366,676,362,793,744,788,
153,791,321,695,994,979,567,666,560,423,948,006,320,331,079,741,884,561,019,
638,319,592,053,710,218,233,450,513,465,100,911,328,042,782,414,572,558,454,
396,401,331,522,494,811,608,140,733,535,971,278,934,365,561,951,818,689,393,
489,047,089,143,353,686,646,525,933,965,618,822,258,378,437,052,844,249,715,
434,021,617,875,650,529,212,595,689,567,426,240,394,999,421,750,461,372,858,
117,105,599,541,631,359,583,704,135,037,462,889,034,779,525,128,423,633,512,
275,091,224,540,036,199,231,177,092,753,490,683,782,586,100,946,230,670,699,
029,322,217,791,009,280,330,219,202,827,774,490,554,326,393,552,815,387,218,
717,296,919,719,693,020,260,576,673,777,747,612,681,087,132,302,583,635,745,
937,353,454,045,428,938,381,710,318,332,156,266,388,049,318,561,594,260,312,
085,051,472,364,788,208,360,950,976,687,034,424,207,696,554,002,052,076,144,
363,928,506,145,422,990,907,867,255,616,122,211,977,599,366,832,938,249,116,
901,109,748,256,925,209,476,883,688,391,004,257,011,322,888,902,589,289,524,
233,598,816,027,909,642,436,912,793,830,178,492,003,514,554,674,427,716,939,
930,448,031,661,240,874,452,739,698,901,557,574,558,447,612,832,298,034,348,
491,634,925,068,097,817,983,635,658,798,138,758,111,527,344,202,754,412,257,
641,694,529,712,866,048,788,708,574,313,127,761,871,844,725,934,338,239,388,
161,357,628,146,040,468,909,696,568,685,952,439,173,172,124,478,993,538,507,
214,322,696,195,436,606,465,391,589,281,030,626,484,664,106,530,724,240,265,
535,561,986,492,932,532,253,525,783,420,864,169,833,137,148,711,936,254,962,
846,125,796,324,261,125,478,718,495,585,471,577,407,813,889,165,813,895,314,
625,516,959,370,449,124,706,455,862,091,426,417,286,844,565,928,522,354,168,
309,981,818,388,359,434,945,722,309,306,937,311,691,467,501,278,001,210,713,
753,292,957,400,899,693,901,859,499,477,206,614,998,213,361,594,028,677,878,
223,498,575,020,047,635,448,799,148,935,425,239,596,797,774,112,595,238,010,
395,950,726,781,573,383,149,579,884,290,995,366,835,636,261,605,716,126,770,
931,898,050,238,266,302,002,618,958,824,756,529,860,650,086,672,700,805,946,
274,319,464,066,635,510,392,748,219,672,970,596,522,939,296,952,437,944,464,
871,752,272,986,614,423,990,531,200,102,104,360,988,861,600,190,607,651,250,
885,172,072,331,712,847,242,016,836,847,897,171,010,658,311,713,625,157,385,
715,816,833,731,275,823,957,559,226,013,848,801,043,272,477,907,235,380,876,
266,800,582,959,890,656,267,211,830,162,936,971,715,711,446,211,339,166,255,
085,775,039,811,023,139,912,285,756,978,492,383,178,380,574,628,034,751,086,
688,993,273,293,354,509,855,255,585,784,771,754,207,195,956,995,818,139,477,
783,499,483,535,239,829,039,175,614,262,972,234,065,093,466,654,209,434,084,
762,051,394,817,998,921,223,806,845,710,823,262,531,062,181,913,917,048,693,
928,450,680,631,015,638,009,376,866,530,546,990,619,287,695,023,321,757,021,
162,483,293,230,102,384,448,723,043,621,437,605,308,434,566,414,789,213,790,
073,834,763,851,182,277,551,002,735,235,398,456,956,200,421,970,141,057,924,
262,897,770,227,656,243,168,677,548,550,860,679,688,672,641,279,613,164,883,
938,482,303,977,893,470,716,467,856,615,306,244,589,245,850,294,520,877,339,
085,142,127,788,902,424,312,842,740,266,435,207,611,721,671,894,909,269,610,
813,191,937,467,754,177,484,724,186,738,470,534,113,334,804,955,567,104,061,
988,276,846,548,498,700,527,067,481,976,177,914,825,659,609,979,889,179,697,
500,169,084,926,189,643,760,670,342,873,894,947,359,002,366,949,080,031,693,
471,911,390,380,411,855,612,910,648,247,345,304,261,628,960,363,489,215,641,
216,115,907,326,502,371,362,630,495,130,681,870,907,330,977,645,195,920,703,
847,066,434,051,261,494,898,775,116,590,277,042,528,034,610,608,935,944,541,
906,277,052,313,743,985,593,975,810,545,023,212,694,766,287,096,348,844,482,
665,273,256,379,824,756,875,222,062,306,243,762,562,906,782,549,132,053,078,
765,131,578,919,099,762,641,356,229,392,976,631,896,595,966,462,192,970,605,
732,074,255,791,689,317,092,704,528,671,217,761,347,536,874,714,340,470,735,
904,460,584,687,207,890,022,730,638,461,378,623,866,066,287,620,518,764,287,
860,232,834,956,212,748,805,337,781,356,837,714,565,793,470,739,325,551,774,
722,932,431,093,345,778,961,215,686,465,856,193,016,171,803,023,494,837,491,
736,530,560,823,739,845,850,614,366,409,775,250,258,758,287,238,682,220,656,
652,643,938,627,852,610,923,724,207,633,995,500,613,255,614,938,111,990,665,
955,240,530,132,004,372,023,647,705,941,305,395,398,773,484,101,247,847,188,
491,710,144,380,310,256,849,281,819,547,529,246,040,492,457,143,077,620,774,
888,009,212,137,876,221,865,652,850,017,908,962,703,705,275,003,793,338,460,
654,292,852,675,383,342,975,719,932,720,130,877,242,143,260,333,104,780,299,
304,477,935,008,705,016,830,261,469,046,866,965,407,705,105,506,487,015,150,
743,790,084,120,875,420,398,108,267,498,357,423,200,164,871,409,206,366,900,
186,969,718,836,870,249,538,849,037,557,230,433,148,752,483,057,695,947,240,
573,175,591,667,829,505,814,632,774,648,085,870,736,339,532,873,923,711,682,
983,459,903,676,800,267,939,787,229,686,308,034,347,525,847,511,410,472,772,
350,913,155,239,054,850,484,909,299,117,205,773,686,620,106,870,221,288,205,
589,871,762,243,569,638,810,224,106,408,676,866,425,350,314,261,522,567,944,
305,628,340,251,792,579,290,452,952,337,714,749,122,261,477,778,739,432,712,
947,823,229,849,439,591,501,412,280,641,199,010,643,642,435,254,266,621,283,
149,555,332,049,616,095,892,485,662,993,287,795,550,273,613,158,178,672,808,
883,193,116,349,187,652,362,680,007,593,650,080,432,821,287,941,701,705,650,
137,011,488,338,343,134,315,988,441,856,600,895,566,436,472,752,640,608,272,
482,857,350,080,792,374,655,217,864,594,648,711,691,638,698,202,747,299,580,
894,432,197,566,476,493,140,197,852,894,799,263,209,605,436,400,269,376,838,
867,255,430,445,085,880,602,541,314,384,943,340,470,589,433,792,898,154,689,
536,227,248,238,832,218,649,310,033,283,000,977,612,616,178,715,989,499,393,
109,673,679,735,281,718,544,815,086,678,825,880,829,848,294,157,386,840,920,
976,105,488,050,943,094,597,621,031,993,885,007,057,201,044,590,704,115,898,
280,326,714,549,654,151,664,581,345,376,462,586,114,836,798,425,648,939,256,
905,811,853,274,755,482,849,414,567,179,886,008,443,107,525,366,260,450,782,
288,075,033,962,146,675,609,361,133,339,450,124,664,325,796,854,483,479,043,
075,819,047,164,574,329,225,986,573,833,264,601,566,922,865,204,285,110,243,
716,020,437,785,863,101,397,991,748,254,748,226,978,689,649,645,960,902,287,
051,883,724,983,590,651,865,185,607,820,030,572,949,500,893,113,225,664,708,
219,201,655,170,097,011,218,164,903,171,347,262,803,887,279,543,670,104,958,
387,112,111,591,490,617,276,769,494,446,248,136,172,434,692,690,052,308,026,
333,659,853,701,217,831,503,948,279,071,540,622,263,940,120,948,878,963,185,
297,478,685,738,474,023,746,610,844,750,931,984,454,230,910,066,225,211,521,
699,457,622,511,435,111,108,469,404,485,143,999,855,465,133,684,244,702,826,
425,379,957,612,557,541,446,560,880,506,347,009,597,857,556,135,843,370,209,
099,368,569,550,582,796,096,930,547,300,218,598,880,554,524,579,159,426,689,
078,269,686,654,996,841,721,911,686,394,406,689,044,700,652,544,120,981,335,
204,099,858,909,271,053,775,192,756,337,824,160,169,389,283,060,758,096,874,
047,905,377,622,117,299,350,718,906,136,693,734,630,003,930,486,090,738,765,
190,703,034,293,195,848,278,231,654,554,109,820,534,319,576,423,422,112,900,
635,808,704,969,412,859,592,830,777,206,446,390,615,877,319,740,665,920,469,
566,207,015,810,142,606,635,730,795,588,139,041,563,259,484,429,197,890,962,
815,704,144,580,085,119,148,814,851,929,554,378,133,116,743,599,986,133,328,
279,613,427,032,484,675,718,528,608,338,750,133,979,791,011,067,776,686,292,
385,140,502,120,008,000,120,266,660,915,981,111,299,480,486,372,445,684,503,
059,862,396,260,545,785,255,533,765,666,526,819,377,707,721,342,744,420,679,
542,718,594,258,826,180,635,080,303,186,714,707,099,430,086,267,309,613,574,
663,275,725,813,515,047,168,901,170,902,661,715,346,479,638,908,326,475,114,
880,158,036,350,141,854,838,585,933,522,596,418,588,260,158,421,484,017,223,
016,164,059,754,864,872,036,303,397,507,345,662,424,770,239,847,773,227,188,
960,307,379,934,518,894,181,237,561,424,518,168,767,722,121,085,552,010,691,
356,766,423,921,866,551,369,308,999,090,140,091,842,198,438,020,311,879,927,
464,451,697,674,370,670,289,769,469,738,507,555,239,103,148,904,170,695,036,
060,411,942,716,984,028,418,629,907,297,701,958,697,056,158,556,841,169,026,
010,772,966,569,056,482,159,691,746,547,884,068,627,537,004,439,822,756,745,
686,679,283,606,752,278,243,065,915,052,975,330,314,678,860,980,137,295,674,
989,098,112,501,983,903,555,043,299,826,758,133,500,030,817,751,677,938,715,
759,983,658,987,985,301,788,672,295,274,997,686,601,832,057,746,108,318,274,
704,202,806,474,854,110,055,484,066,006,646,802,650,249,501,821,243,293,401,
271,576,155,809,284,082,390,264,223,356,515,445,367,226,699,691,743,440,100,
497,793,270,361,402,509,829,211,241,676,193,357,116,488,491,289,998,941,826,
117,639,497,281,691,737,623,477,527,328,447,247,246,847,755,569,730,557,103,
732,826,889,555,085,307,461,112,316,256,585,425,934,815,370,296,624,882,080,
715,552,320,434,892,035,817,167,562,927,190,730,001,898,500,337,206,614,128,
600,395,161,510,735,551,893,103,236,017,778,807,208,020,307,214,154,208,891,
488,217,395,508,013,096,019,171,562,832,996,489,536,487,820,019,775,375,538,
863,058,375,509,467,076,134,952,347,640,541,942,093,989,318,620,179,134,231,
792,853,871,297,437,159,046,101,427,170,981,791,715,147,411,206,129,452,269,
430,311,744,073,442,102,493,642,475,947,249,949,676,406,543,530,135,752,973,
170,009,034,619,237,129,185,223,809,786,586,770,225,179,976,871,228,984,402,
261,957,984,913,019,143,487,316,087,206,071,483,609,963,409,245,612,753,889,
818,785,860,036,988,661,071,414,707,540,577,022,170,701,497,473,047,634,551,
121,040,773,687,675,559,722,027,561,792,704,679,337,024,750,546,354,666,664,
067,856,438,957,207,049,207,119,814,364,460,638,911,189,359,909,259,898,876,
668,464,146,574,222,539,837,420,596,778,358,484,207,662,839,739,593,806,123,
964,856,879,001,602,236,762,894,444,399,126,267,867,469,943,521,473,428,123,
689,684,417,664,709,309,708,638,229,592,966,783,696,749,961,379,109,180,846,
331,363,767,810,272,650,925,651,945,235,375,913,837,382,916,586,918,538,153,
665,647,466,269,795,379,592,823,242,269,428,492,848,410,746,465,677,183,061,
289,065,241,051,979,083,524,787,101,699,970,565,077,941,374,723,664,654,542,
000,454,133,776,026,484,123,629,429,419,834,111,988,736,022,592,243,109,345,
743,797,622,708,350,042,705,410,429,363,278,372,917,637,648,021,396,832,922,
485,588,516,145,717,400,192,655,002,146,154,298,811,221,775,462,138,282,270,
569,601,453,848,708,355,337,463,411,468,907,169,403,223,095,529,465,921,880,
421,139,981,878,915,474,861,486,794,308,970,713,667,908,750,842,463,488,566,
839,735,456,629,753,876,734,878,028,392,585,139,187,338,154,245,592,285,320,
092,300,974,016,407,179,798,059,866,427,646,442,287,723,927,919,785,818,431,
533,788,981,153,051,388,836,205,604,516,154,379,269,819,895,555,851,921,277,
749,535,280,731,506,452,424,870,782,584,121,842,214,957,304,321,197,974,525,
634,525,556,755,357,892,334,914,375,789,242,543,064,297,760,764,948,466,371,
818,826,657,984,803,692,796,622,528,556,661,446,379,326,539,065,557,589,307,
715,651,200,224,905,266,966,233,902,420,392,142,963,920,232,323,857,644,868,
431,307,186,495,931,248,827,215,227,597,210,129,605,058,688,931,830,503,003,
898,963,072,357,442,236,801,646,481,640,501,215,286,414,621,752,653,416,434,
885,811,474,371,290,007,611,779,354,090,284,245,915,725,557,930,790,713,976,
676,614,227,134,551,482,633,281,715,572,408,062,704,993,851,292,131,739,237,
283,881,541,284,303,218,046,610,739,906,412,942,286,035,999,512,841,467,339,
937,509,864,234,188,586,029,141,318,082,167,658,892,979,092,657,742,251,846,
438,660,238,045,781,625,760,230,315,188,635,707,207,508,022,297,413,243,491,
869,965,495,730,125,025,643,811,963,853,800,136,402,159,844,824,357,473,715,
108,953,342,559,266,689,459,607,448,809,558,859,094,027,541,780,063,510,684,
784,763,745,590,035,696,867,081,309,545,957,729,233,261,960,777,647,548,390,
533,058,652,959,947,235,528,758,487,910,904,124,080,922,165,449,022,593,304,
504,266,179,661,331,871,532,615,284,032,070,964,773,974,454,842,305,261,954,
964,754,565,683,957,879,655,426,182,515,796,543,885,308,434,236,326,243,414,
386,312,472,978,315,523,637,534,240,504,683,519,753,373,870,784,094,367,221,
537,216,887,928,055,410,908,690,655,982,542,626,221,914,803,193,268,792,258,
181,903,712,826,890,996,022,015,030,032,403,746,250,081,245,173,478,022,731,
154,461,989,373,135,494,494,355,061,841,382,855,575,423,217,003,024,231,818,
135,879,233,215,038,515,219,677,910,357,410,537,255,175,011,269,083,661,982,
930,603,579,343,808,347,633,571,644,437,941,737,678,266,020,299,503,616,341,
312,331,408,832,182,991,620,826,547,956,409,273,597,192,814,295,739,965,601,
653,279,820,607,188,915,370,513,815,474,390,859,941,411,655,959,769,928,321,
624,486,343,804,857,094,791,403,040,444,277,673,090,423,817,526,079,373,842,
543,939,826,137,264,841,321,126,901,972,616,696,839,824,084,859,780,098,869,
070,796,637,905,222,099,263,458,733,380,889,759,525,896,983,593,056,329,410,
915,621,203,648,860,572,205,574,228,810,898,563,097,467,664,867,117,512,319,
118,470,031,322,122,648,414,283,287,162,243,506,571,443,371,315,943,945,760,
649,167,600,050,466,016,904,637,862,194,466,281,691,500,438,174,365,403,708,
453,976,733,928,184,726,520,255,863,062,380,638,081,252,686,124,459,073,050,
865,656,925,246,648,674,282,689,384,896,976,639,141,702,354,922,227,700,763,
643,802,655,723,741,923,570,819,849,303,588,477,939,742,958,097,217,810,850,
658,332,715,045,976,702,953,265,664,272,066,228,762,247,712,088,891,551,543,
949,724,256,809,644,483,809,621,917,421,543,516,118,451,882,458,879,196,510,
714,592,733,222,158,393,005,670,376,864,757,120,578,886,202,400,349,778,321,
944,711,568,741,215,849,980,066,681,807,631,340,684,739,886,905,938,293,555,
747,396,006,351,138,259,956,433,222,942,330,389,636,517,699,662,071,116,416,
169,492,761,556,389,574,893,777,983,250,159,830,503,548,273,684,324,092,566,
768,439,215,765,237,894,758,727,473,310,494,642,888,338,702,417,478,775,699,
888,086,897,515,319,772,002,483,809,674,778,698,350,446,170,385,365,433,707,
686,927,884,828,626,237,126,706,338,459,414,502,868,761,435,531,424,292,882,
059,497,259,347,878,753,903,003,612,199,672,791,080,506,986,609,549,594,391,
241,536,266,830,325,729,973,291,542,705,231,074,546,644,874,697,157,157,532,
512,381,948,326,186,845,155,934,414,419,876,078,746,472,204,473,724,725,934,
764,447,016,814,887,840,471,085,909,764,365,970,473,530,112,425,193,121,250,
614,148,580,748,892,228,470,864,503,690,095,708,373,718,913,276,766,735,152,
242,927,922,217,239,709,054,687,809,201,335,700,974,413,708,280,456,662,199,
489,071,541,179,496,753,440,039,590,398,774,263,183,659,287,341,945,374,104,
694,776,222,551,833,555,024,585,246,168,066,066,067,580,573,227,812,638,661,
501,927,787,806,718,760,967,617,163,718,049,379,343,794,491,126,406,258,041,
256,738,659,192,720,634,859,039,022,892,246,854,688,281,103,178,080,619,234,
271,677,638,582,802,919,781,608,265,690,584,005,645,780,078,263,131,480,379,
380,571,961,380,035,152,605,639,473,667,387,401,960,594,392,952,241,196,384,
381,205,148,358,341,271,786,859,756,518,664,021,477,369,897,540,128,553,058,
546,508,270,080,521,259,409,394,120,572,286,148,393,704,327,891,390,167,012,
421,897,727,353,801,412,161,438,377,960,803,639,464,302,435,099,168,703,780,
828,983,480,433,580,635,565,896,583,306,045,761,451,073,668,322,031,889,509,
913,417,225,946,235,507,304,125,725,908,337,271,822,370,649,272,571,389,067,
564,155,033,492,474,370,096,636,512,642,889,802,990,484,878,829,209,932,742,
624,343,824,725,889,038,837,448,736,032,027,183,787,894,999,530,541,506,773,
579,588,041,950,287,381,613,414,021,192,949,850,837,862,681,925,361,313,101,
128,701,299,995,629,085,052,474,152,130,819,656,052,415,690,611,905,338,607,
518,046,115,202,339,491,189,707,410,544,455,426,139,782,911,978,488,726,051,
293,473,313,952,577,941,883,204,706,109,614,672,151,360,858,285,698,825,806,
768,247,860,980,680,617,772,337,571,369,287,419,916,594,630,992,536,956,502,
697,601,666,336,225,449,710,751,027,600,421,177,299,822,012,472,216,088,256,
918,343,254,188,945,702,110,386,367,355,825,388,313,570,120,804,778,844,731,
807,276,784,263,634,651,738,466,206,977,398,174,397,511,638,614,426,438,150,
381,787,857,578,385,890,590,033,083,892,043,923,419,916,951,477,513,612,424,
060,563,832,496,008,789,680,729,950,611,716,363,364,008,695,592,978,015,738,
490,588,097,537,305,261,412,596,928,571,971,495,416,661,437,314,999,279,855,
229,535,439,478,540,359,147,147,300,758,548,842,447,493,640,267,413,711,181,
056,541,365,933,498,601,141,851,204,003,533,486,562,148,601,849,686,981,444,
932,374,725,458,288,164,014,231,446,101,545,151,583,571,321,455,917,220,894,
004,253,707,087,337,067,731,027,609,651,300,635,291,057,698,995,658,602,348,
022,564,910,045,203,760,897,390,618,803,875,981,222,752,798,119,310,905,681,
113,469,676,293,531,286,242,634,384,848,516,983,570,694,532,523,293,730,858,
270,815,145,417,101,922,100,957,808,077,580,529,839,474,124,143,725,350,086,
582,185,280,824,008,954,326,706,479,499,048,958,018,700,810,790,508,287,412,
664,647,011,684,348,541,988,678,739,837,308,178,454,526,023,264,969,303,244,
822,405,471,152,004,585,605,430,955,183,619,016,755,787,056,204,465,806,250,
095,710,410,977,247,509,359,267,226,882,003,116,535,582,917,170,038,373,865,
692,032,503,925,809,451,126,292,826,283,369,354,970,783,508,153,958,959,751,
822,183,128,556,190,376,273,772,758,869,412,825,076,320,461,596,497,164,479,
891,471,801,035,479,411,925,412,787,328,176,477,506,467,122,579,922,202,298,
626,971,822,791,865,773,149,139,012,325,385,652,418,873,672,438,891,605,164,
946,839,412,002,046,760,584,586,527,930,203,848,148,387,192,370,276,382,148,
034,343,121,049,417,559,083,730,857,249,383,813,666,916,998,063,219,851,061,
271,968,272,892,317,782,858,853,078,471,695,928,609,102,612,577,017,878,648,
055,847,336,884,366,367,811,153,883,084,892,779,299,809,778,147,747,142,185,
934,571,750,836,072,032,562,512,747,204,011,287,001,449,619,012,233,614,478,
729,257,800,760,497,695,789,863,041,220,438,368,982,481,289,303,643,674,603,
948,595,574,908,330,138,923,056,444,122,601,392,803,522,488,356,898,132,889,
249,469,193,086,922,847,113,885,575,555,060,729,199,896,624,991,546,685,566,
912,941,641,196,146,294,741,606,361,068,158,314,661,704,282,806,720,274,391,
720,646,064,245,648,137,233,177,782,834,339,405,517,766,373,377,801,427,713,
323,634,154,625,860,837,043,241,703,721,241,068,708,679,428,246,924,776,560,
588,101,840,228,879,759,779,619,078,116,542,360,610,980,691,579,167,594,185,
662,587,659,734,672,911,138,022,229,923,940,236,162,538,496,820,870,859,089,
451,093,239,986,965,412,180,752,817,604,051,358,025,771,761,081,206,449,055,
458,286,323,218,220,729,121,135,219,126,611,894,339,319,293,506,661,452,694,
038,297,987,328,528,846,425,152,745,537,702,050,567,139,362,809,283,988,026,
850,950,350,556,631,884,204,006,156,673,954,516,169,489,093,020,009,379,214,
661,370,242,250,396,601,030,976,507,602,894,061,983,948,019,193,641,561,659,
143,538,092,160,478,244,777,852,336,355,982,231,314,492,898,097,315,066,668,
915,991,963,731,598,618,986,245,638,067,314,862,106,509,397,893,859,190,115,
533,043,902,290,466,858,183,627,581,962,803,310,191,316,103,981,617,639,670,
868,228,822,676,903,650,397,548,260,994,692,933,772,376,996,530,571,008,819,
821,322,888,483,346,295,686,633,555,764,757,840,298,613,052,328,205,541,694,
612,131,273,198,130,586,393,129,145,501,722,316,952,810,625,923,410,455,174,
904,982,542,197,866,853,219,838,209,289,415,148,401,522,493,187,788,835,322,
008,357,883,431,404,681,518,758,554,287,139,180,001,928,984,177,022,218,076,
929,808,881,660,809,122,117,569,762,899,156,066,204,990,529,870,950,055,402,
184,596,790,880,552,140,005,663,756,778,827,945,918,528,697,167,221,586,265,
109,317,875,801,244,894,778,212,808,225,376,014,955,035,422,879,501,381,254,
460,045,578,040,454,217,440,015,375,868,373,757,929,812,268,156,960,630,615,
895,640,610,361,314,134,793,348,252,463,128,597,214,307,242,696,622,102,320,
426,777,099,970,275,533,479,303,784,519,580,879,705,078,442,750,013,764,502,
676,763,401,810,459,263,853,318,718,348,121,777,421,873,817,535,782,052,523,
778,140,001,464,887,906,420,058,800,442,337,739,835,971,550,059,952,651,521,
572,620,737,192,132,573,466,994,283,528,801,769,216,098,148,555,872,039,095,
798,844,110,787,266,343,692,869,980,691,560,570,901,745,399,254,242,256,549,
882,054,445,943,669,756,462,384,279,469,871,039,955,523,400,134,307,059,171,
683,127,639,376,749,515,421,721,383,052,914,689,900,311,882,153,273,333,377,
144,698,621,705,410,964,062,589,662,917,291,795,303,576,852,208,168,641,289,
279,199,483,330,139,190,978,847,382,251,855,750,714,318,064,249,137,825,129,
286,331,205,459,508,812,362,989,344,062,631,876,003,403,953,829,706,729,475,
104,425,328,382,825,613,587,166,021,689,821,932,356,513,402,421,018,505,989,
032,067,738,325,907,206,049,358,083,701,452,732,941,908,630,602,653,756,787,
591,695,158,950,642,996,073,553,960,484,847,246,603,658,424,588,268,030,400,
433,066,162,255,566,287,055,270,831,590,006,319,228,803,473,055,752,138,722,
948,783,820,329,056,332,369,051,767,739,526,867,584,861,373,427,719,835,322,
268,761,583,482,197,061,639,605,901,846,516,392,361,256,178,830,011,654,011,
289,111,095,231,486,854,960,930,151,952,212,220,882,015,948,495,825,469,828,
364,092,592,812,834,665,484,743,345,401,202,770,390,940,829,587,344,338,434,
741,390,311,198,628,118,713,460,012,507,127,613,507,834,898,503,785,063,494,
306,866,874,847,602,244,786,567,272,547,717,226,540,362,008,606,245,272,376,
953,457,984,008,662,568,018,255,402,608,470,696,383,944,144,885,995,504,650,
996,167,566,782,920,067,313,754,444,371,568,974,336,954,777,687,775,002,859,
190,463,148,125,125,195,350,868,177,091,695,341,318,711,428,260,375,519,405,
543,547,096,798,371,524,518,380,910,471,170,060,225,350,498,074,033,810,538,
255,277,384,315,000,602,711,658,039,152,267,731,723,899,180,459,157,085,820,
267,160,096,630,421,508,676,677,676,879,265,584,932,563,132,312,686,298,883,
134,150,813,234,040,694,717,110,586,072,699,260,683,123,732,353,470,847,713,
307,807,980,307,752,109,081,248,087,823,663,020,756,515,340,659,385,908,179,
666,819,749,038,692,295,058,642,522,662,267,490,157,751,952,854,341,228,526,
898,169,359,286,942,112,617,460,340,011,997,189,178,083,201,704,740,960,723,
611,915,008,957,866,881,752,957,862,685,683,907,466,747,634,352,647,622,225,
330,922,860,457,557,248,940,648,885,919,693,455,019,678,265,484,124,835,634,
707,023,606,633,921,737,517,660,688,384,831,381,565,359,127,540,543,102,770,
784,769,107,779,281,194,531,963,937,906,375,680,217,276,864,008,773,154,206,
088,429,263,647,173,901,364,673,437,405,973,066,204,950,398,026,077,670,368,
147,102,258,607,881,079,237,339,045,781,947,619,553,974,508,885,952,157,618,
621,247,557,168,656,847,278,099,905,600,661,315,024,409,597,992,353,890,883,
568,393,955,520,436,320,958,070,824,888,069,810,910,370,303,978,066,204,132,
145,204,123,241,912,260,870,434,230,693,616,411,707,278,470,098,409,136,132,
371,437,287,416,055,597,560,760,936,744,816,023,235,144,966,392,494,055,483,
676,620,636,619,111,711,217,624,577,160,809,982,820,955,817,057,906,860,805,
471,327,534,155,363,803,912,543,254,698,639,177,110,629,139,870,404,059,856,
936,521,387,455,572,649,819,815,250,386,438,948,677,071,261,643,738,609,892,
090,752,370,641,414,079,026,250,124,095,900,448,715,857,957,735,007,386,690,
906,926,169,336,703,859,618,880,751,915,460,238,565,652,754,026,038,554,434,
018,668,675,937,981,096,897,886,203,601,071,875,017,495,176,376,581,508,895,
420,450,873,584,708,781,296,491,926,742,859,849,164,121,912,168,299,904,555,
912,722,527,198,079,601,459,478,342,341,403,065,304,562,519,303,988,037,838,
677,641,626,348,293,800,953,501,635,534,432,611,833,347,985,790,713,035,059,
654,843,517,771,936,568,698,043,087,030,978,937,923,280,318,690,581,351,876,
514,284,338,052,601,596,443,866,260,173,294,103,256,276,013,042,939,931,700,
852,652,228,809,166,476,485,118,523,123,595,275,382,859,211,388,013,713,530,
957,979,630,945,416,359,309,838,533,356,245,262,061,300,766,400,124,012,280,
110,878,245,538,042,971,374,382,700,795,674,022,600,417,575,262,156,785,906,
463,518,823,072,947,449,168,382,237,228,282,769,490,831,905,582,161,166,961,
317,629,114,415,581,925,159,933,479,993,097,925,371,893,072,353,425,680,504,
096,879,150,435,520,076,147,896,540,191,402,281,189,534,142,253,728,931,318,
082,104,308,003,791,057,144,227,391,992,689,663,820,901,886,135,104,174,456,
733,546,105,433,427,766,950,737,536,841,727,400,621,764,983,749,997,851,860,
327,746,048,479,918,142,691,097,252,692,000,174,962,363,350,783,847,242,072,
805,350,167,210,291,241,856,630,974,396,199,113,140,581,828,314,821,662,109,
742,437,682,338,194,035,399,754,127,724,717,146,577,648,736,450,250,632,774,
851,003,455,472,534,333,135,622,891,116,565,609,576,322,166,227,127,081,390,
537,847,637,638,202,331,693,936,229,895,136,001,666,438,927,505,107,260,055,
447,458,542,466,682,650,340,945,127,218,726,273,959,724,708,804,499,021,324,
103,946,715,932,685,271,466,935,218,487,827,293,774,412,480,051,006,861,916,
571,159,253,192,800,170,008,381,574,940,755,431,837,282,826,062,543,194,952,
640,605,474,223,656,892,420,395,794,423,683,253,150,639,698,058,937,386,674,
738,193,402,661,069,964,957,598,920,878,668,151,574,894,499,386,656,880,987,
918,806,236,092,085,393,543,436,373,979,322,551,717,723,396,161,284,111,160,
351,731,536,988,632,960,247,999,489,661,154,162,526,755,313,253,113,409,701,
434,941,186,942,632,392,146,935,860,891,225,125,806,015,844,095,532,919,258,
221,659,664,222,063,173,637,596,667,753,367,586,423,366,497,561,063,004,420,
848,235,682,843,860,162,750,509,170,816,743,840,863,232,782,915,309,565,824,
872,862,342,079,616,741,196,722,836,433,398,677,194,784,404,960,855,171,292,
107,630,374,014,639,886,726,483,664,057,797,444,258,577,068,981,912,033,626,
168,854,532,486,328,865,786,857,960,851,704,829,947,725,118,037,581,823,930,
684,205,391,785,421,157,526,539,926,014,173,525,329,161,862,373,270,249,853,
121,953,488,382,275,522,176,649,572,531,754,727,934,412,620,742,253,411,880,
450,281,705,573,346,668,866,233,430,306,547,476,609,033,640,461,049,535,258,
271,891,291,681,180,649,280,844,345,227,234,578,105,688,278,799,501,466,059,
476,732,382,629,144,987,508,304,953,527,728,229,529,269,048,838,358,157,485,
698,391,047,962,999,833,996,272,550,826,512,743,463,155,852,168,746,305,381,
702,326,171,005,138,337,858,047,593,633,104,691,619,596,500,744,503,342,928,
834,261,098,311,591,934,245,015,457,914,910,179,550,480,879,508,542,742,747,
805,081,744,027,891,900,007,464,504,062,648,934,241,473,495,188,787,721,318,
833,299,785,392,757,075,643,377,289,232,155,582,197,206,345,308,708,160,495,
739,998,989,112,870,021,542,326,383,792,941,184,295,257,105,548,434,106,895,
537,137,794,474,420,331,562,435,789,382,638,113,745,851,114,620,874,181,545,
642,008,578,738,005,219,706,865,317,397,268,228,980,801,515,389,792,107,630,
109,686,194,645,062,495,435,373,086,839,161,014,209,732,171,312,639,241,730,
454,107,899,974,422,622,310,708,725,775,889,353,400,045,505,814,300,977,426,
828,662,381,292,829,430,509,855,687,060,285,995,182,895,454,070,691,207,469,
785,994,632,341,821,494,998,506,379,494,050,854,491,385,546,023,431,024,642,
869,179,205,433,316,608,469,994,152,918,747,212,592,480,876,742,576,535,064,
593,318,053,221,346,766,536,889,253,134,604,307,379,117,115,859,256,379,499,
518,604,357,896,390,807,455,674,861,132,276,661,563,197,741,807,843,176,917,
543,113,445,376,150,390,488,042,217,624,977,891,684,349,256,268,846,299,548,
354,520,752,296,302,800,169,358,949,638,557,250,557,541,854,710,809,042,120,
744,825,021,039,342,704,003,869,899,369,934,396,534,873,073,153,244,471,989,
928,711,362,540,393,117,279,297,236,884,735,512,927,209,952,413,598,573,774,
151,096,956,273,534,519,097,776,515,682,013,183,123,664,816,892,753,549,313,
351,358,431,413,257,693,121,660,145,662,589,497,808,820,942,057,771,447,117,
739,822,030,671,435,181,225,382,729,151,343,371,672,748,152,210,032,552,529,
823,398,493,549,783,854,639,047,354,104,891,136,328,274,768,389,817,017,798,
580,392,957,996,984,529,925,554,182,950,022,762,538,346,193,201,017,779,758,
418,724,998,343,707,646,623,697,829,926,568,894,870,923,015,270,540,338,797,
803,299,469,532,248,953,370,247,170,143,742,878,622,522,643,656,793,525,052,
743,149,472,391,522,167,090,145,673,893,738,894,993,180,794,819,969,471,740,
357,726,580,696,657,765,438,814,246,523,397,076,536,289,773,916,417,535,195,
000,931,186,180,023,271,960,393,867,974,045,526,307,250,264,571,844,620,802,
844,806,310,000,273,930,069,558,545,023,911,320,186,841,526,571,532,053,136,
488,519,151,402,475,495,162,835,775,355,084,889,143,609,301,771,796,698,177,
904,652,284,340,356,813,003,114,983,727,353,691,561,224,953,401,568,817,228,
354,694,154,002,884,578,999,175,581,392,244,022,224,347,992,489,022,433,867,
733,060,955,096,614,918,422,467,062,729,524,923,279,342,332,654,815,471,021,
744,220,509,131,554,598,647,620,704,369,640,626,764,023,565,646,620,675,242,
833,664,637,214,893,056,871,020,056,409,401,833,434,073,631,612,971,619,666,
143,569,022,672,608,329,906,718,270,119,493,110,305,692,514,396,638,494,128,
414,489,072,115,011,212,613,735,885,771,346,680,435,700,823,729,766,759,620,
548,961,444,762,869,445,589,796,717,876,465,483,457,979,141,765,282,437,923,
553,220,779,513,447,371,524,554,788,303,135,856,742,728,161,422,239,052,559,
874,193,762,053,857,151,851,730,254,963,764,595,356,395,665,635,192,196,276,
445,195,894,481,029,570,010,210,016,200,950,972,890,750,110,837,966,889,186,
313,409,954,938,525,546,260,239,889,025,079,920,756,792,127,900,227,639,636,
353,032,991,475,986,981,914,821,744,308,284,490,552,495,946,397,495,514,937,
303,692,292,278,370,087,375,173,164,263,297,893,806,082,031,516,522,723,478,
666,235,373,188,424,563,216,456,721,244,754,809,386,385,331,476,806,238,539,
897,823,253,686,419,824,441,667,368,064,264,544,271,801,565,418,687,148,707,
014,779,226,589,825,138,644,431,282,428,325,994,246,312,497,964,759,547,006,
823,853,149,782,291,282,641,266,014,892,158,275,420,446,719,505,524,786,456,
640,214,789,325,995,990,648,154,273,486,576,459,566,571,790,468,348,068,885,
945,928,942,910,800,064,489,253,088,301,076,031,855,464,226,665,704,667,527,
906,676,260,666,867,433,342,253,481,106,253,894,524,407,175,502,921,036,206,
204,146,280,562,738,534,352,383,756,091,890,644,335,473,125,339,460,637,053,
231,942,698,950,449,558,768,798,889,474,017,932,429,692,128,610,231,888,420,
023,047,244,099,938,261,006,709,881,362,250,668,852,037,859,831,101,475,261,
652,243,883,171,672,702,521,338,030,561,624,272,931,205,031,469,011,144,415,
153,882,098,958,800,568,201,146,332,668,576,994,066,358,885,059,140,363,408,
972,492,917,242,295,428,627,874,069,611,312,954,771,179,088,715,064,718,672,
874,549,657,137,331,944,192,251,354,606,287,337,265,271,151,728,052,266,835,
959,167,100,027,621,242,579,151,394,454,647,885,211,266,271,792,392,084,675,
121,377,354,624,077,145,574,973,035,481,368,644,633,582,040,513,019,183,025,
469,083,971,778,350,492,771,601,925,649,800,807,937,873,843,575,481,587,968,
557,667,757,060,553,132,563,096,412,622,237,699,217,049,680,833,745,632,663,
637,658,690,665,217,429,875,878,449,158,149,607,639,776,761,386,874,099,969,
341,923,919,331,672,329,377,773,072,019,023,326,239,388,960,723,993,068,729,
553,094,500,707,671,932,692,456,423,797,624,837,611,383,998,106,216,322,675,
604,816,854,383,817,438,719,524,483,666,117,465,067,152,983,537,503,194,055,
161,280,759,771,161,578,710,312,701,513,490,095,639,743,314,073,394,419,046,
739,011,330,448,553,550,922,761,682,425,233,582,351,151,102,494,059,407,497,
533,157,754,570,536,284,037,525,152,202,268,837,061,635,435,794,606,937,558,
100,369,714,526,156,107,872,112,676,502,020,598,012,849,707,592,282,671,902,
439,413,590,579,224,675,311,637,929,942,426,560,188,556,835,631,745,176,349,
723,004,284,153,874,277,214,262,146,132,128,676,440,613,899,113,407,527,941,
087,111,390,755,818,649,206,255,078,661,203,046,328,616,232,405,137,316,203,
280,675,630,061,408,418,410,863,705,501,002,221,465,397,554,430,427,483,214,
173,844,830,714,194,035,451,667,318,185,164,266,794,310,121,821,588,207,355,
717,161,113,622,583,353,935,608,759,542,091,697,490,549,843,467,778,825,008,
183,525,482,948,979,454,588,841,890,587,131,203,190,574,883,619,136,438,188,
002,538,455,556,776,397,494,226,843,218,001,959,615,346,919,064,858,497,080,
525,527,660,828,468,719,515,303,568,955,266,140,735,802,293,868,654,269,542,
764,373,261,665,964,997,521,003,601,501,130,322,494,503,641,007,589,806,007,
793,470,747,409,011,654,701,959,092,737,143,482,413,546,673,154,400,892,018,
953,159,339,714,145,405,470,453,142,416,624,241,492,412,198,434,982,334,920,
568,567,650,529,472,819,381,298,447,649,006,158,221,942,999,762,603,930,931,
367,994,914,905,975,791,407,665,116,772,613,453,820,767,624,520,211,521,225,
499,041,945,666,980,473,827,064,209,336,518,366,878,835,124,644,424,842,304,
294,415,626,080,442,687,963,597,759,707,355,028,430,117,215,705,099,349,484,
995,507,145,606,107,561,565,954,937,664,389,295,535,413,025,192,719,611,818,
557,127,308,128,949,528,982,405,500,788,657,503,787,187,967,401,245,566,066,
680,868,099,349,518,721,537,694,090,706,076,416,670,743,223,584,697,382,198,
374,972,247,525,773,913,657,902,169,891,757,346,161,583,744,809,502,350,159,
178,945,620,289,050,762,192,953,792,408,104,710,981,415,915,255,303,019,599,
606,843,502,797,702,536,945,696,103,889,357,496,655,512,652,471,468,248,736,
946,509,321,525,227,009,973,093,920,438,049,612,331,847,047,597,470,411,209,
965,984,232,118,963,143,903,605,522,215,581,359,480,078,528,230,109,045,538,
657,838,964,156,649,664,230,477,763,713,910,368,395,363,618,104,513,547,685,
024,126,851,976,647,422,859,780,905,447,531,991,906,838,554,713,958,635,572,
259,989,049,323,356,506,177,631,883,310,047,989,166,890,105,013,106,400,760,
886,259,554,663,420,791,848,851,350,169,402,120,334,914,653,316,817,219,948,
186,387,999,442,114,704,342,344,714,182,118,619,458,832,537,692,866,083,718,
473,243,302,307,552,752,070,258,785,946,853,241,106,599,230,531,575,542,763,
120,119,988,253,925,936,267,009,527,039,839,064,993,716,174,510,062,302,931,
978,399,772,502,191,862,729,599,180,806,589,138,014,848,835,534,302,946,014,
364,325,087,886,420,005,697,356,944,173,131,903,732,175,298,397,320,171,868,
311,194,918,325,136,292,203,501,704,604,916,132,991,611,607,514,951,972,184,
206,270,407,556,430,663,194,552,116,849,809,415,552,657,207,064,077,598,081,
344,353,020,804,818,836,883,998,705,730,929,052,509,226,664,775,949,141,503,
200,390,323,357,906,332,352,107,766,230,735,298,559,095,846,442,115,696,447,
382,746,260,539,314,240,898,353,964,070,753,265,946,982,365,922,892,333,071,
856,391,597,437,326,277,649,818,075,993,953,746,845,983,296,851,671,120,589,
729,992,004,437,139,908,261,656,010,350,045,187,815,640,142,672,195,516,759,
711,644,344,539,865,589,939,941,999,522,207,043,508,897,159,848,301,520,992,
409,933,610,923,498,440,750,611,087,486,946,025,835,351,530,145,901,150,658,
312,588,643,209,613,741,318,640,092,305,752,692,707,011,800,912,475,936,423,
069,659,565,632,177,143,650,710,981,263,902,986,313,431,239,460,367,678,758,
039,495,790,624,416,854,607,866,715,971,118,768,211,065,659,219,209,431,381,
629,327,729,997,661,160,317,193,619,112,729,243,516,467,400,266,040,311,489,
649,875,812,539,578,595,153,876,904,406,890,936,938,861,233,993,232,854,042,
357,705,648,786,730,393,021,070,041,891,375,866,809,880,859,947,198,217,871,
020,228,486,452,585,204,760,121,315,304,742,699,132,737,488,053,430,532,776,
910,238,231,852,877,094,180,132,397,972,214,895,704,906,867,418,255,373,430,
478,704,272,609,079,402,415,566,364,794,339,997,285,316,120,297,176,323,897,
965,459,911,224,363,828,860,738,482,993,731,285,860,188,629,127,517,074,324,
948,404,994,763,335,358,080,380,441,275,059,842,508,270,992,267,813,705,407,
000,789,338,623,569,530,497,298,921,668,117,290,315,493,281,734,967,187,721,
500,449,290,780,800,857,209,770,810,408,481,966,812,825,830,576,737,199,576,
987,968,666,043,344,745,215,112,348,511,164,258,939,406,634,732,270,801,003,
218,119,802,869,613,707,283,753,485,101,925,181,845,650,320,857,264,688,206,
269,345,680,732,481,541,368,013,820,256,752,588,048,111,807,103,206,712,617,
422,401,285,257,114,402,275,294,959,748,460,146,307,465,274,320,763,800,151,
791,414,968,260,722,830,481,233,345,155,714,547,083,580,277,873,127,460,816,
884,740,130,188,177,285,259,799,094,182,332,013,259,225,776,173,366,482,149,
226,142,912,822,914,421,548,578,763,838,899,105,494,793,121,734,832,080,702,
305,530,568,725,071,960,775,987,479,297,222,084,237,303,166,171,734,398,239,
183,544,746,170,728,584,201,580,595,797,802,633,436,521,420,519,622,835,575,
318,302,234,719,509,360,730,470,136,525,130,109,027,383,242,356,003,052,892,
318,471,332,328,653,231,342,051,667,101,480,390,867,022,736,499,060,188,105,
005,277,423,408,260,187,766,138,123,114,045,410,833,858,113,725,310,803,867,
036,046,963,975,591,278,220,421,081,722,853,841,398,390,889,859,128,136,965,
700,135,903,289,874,234,597,745,829,078,148,871,557,700,828,393,123,966,076,
865,962,437,365,986,066,025,409,366,527,630,762,030,829,376,019,346,005,858,
176,416,985,104,048,121,447,777,631,110,939,543,056,328,668,011,269,506,644,
166,216,913,714,871,235,088,501,468,777,326,762,411,874,378,686,625,290,321,
065,740,935,537,264,050,602,986,015,216,989,418,283,196,797,023,526,860,619,
513,764,007,775,724,592,750,479,659,795,696,958,986,645,513,898,089,657,547,
196,370,089,516,818,418,172,905,334,744,392,643,169,859,485,599,996,438,324,
647,562,396,577,680,955,669,700,823,145,328,992,428,103,713,583,693,687,613,
424,679,068,700,963,908,531,359,127,474,205,465,848,742,443,249,761,221,735,
901,272,787,209,295,893,031,664,524,824,086,520,596,474,363,526,377,453,808,
127,977,601,349,424,126,333,148,373,112,730,498,303,099,667,710,202,035,811,
427,728,493,576,272,042,353,586,281,694,620,941,872,311,580,062,618,866,583,
328,001,111,297,841,610,813,176,078,448,192,667,605,235,485,418,659,833,670,
034,194,782,263,691,090,762,764,215,173,336,415,446,774,528,338,646,646,738,
767,919,701,746,747,500,224,166,599,721,693,253,101,428,163,306,661,690,510,
851,725,755,908,248,478,361,435,162,854,198,913,667,456,199,356,025,208,616,
939,804,517,107,605,723,498,414,935,550,999,488,708,908,956,316,567,065,368,
451,301,625,710,434,109,804,361,231,294,333,200,436,863,252,152,916,789,417,
343,554,905,977,450,320,284,599,145,879,346,012,147,206,433,447,524,064,344,
188,151,731,863,538,433,921,951,649,928,546,739,751,225,103,972,689,291,265,
699,325,362,780,169,941,093,010,493,783,448,280,803,207,328,097,369,436,216,
931,782,616,199,666,810,985,619,521,515,115,936,418,515,018,059,181,310,380,
976,359,774,346,488,093,714,064,035,552,636,004,807,338,403,975,929,813,947,
110,521,174,007,496,753,661,712,346,928,965,149,413,821,454,510,760,249,806,
154,714,343,945,608,654,320,989,377,037,144,443,646,439,608,601,480,302,332,
161,799,536,508,736,264,483,296,430,046,152,342,945,342,560,192,641,878,743,
524,659,849,077,091,613,563,436,783,581,787,638,576,028,505,688,492,271,342,
083,179,706,165,990,674,548,093,076,201,522,232,361,191,265,644,162,968,658,
076,503,678,936,484,084,828,682,859,162,997,479,223,027,877,641,534,818,995,
414,035,625,620,311,942,565,724,583,589,652,217,751,449,270,259,503,941,238,
247,755,303,808,730,092,714,432,313,209,753,478,028,592,740,979,424,144,595,
374,307,261,859,964,063,589,900,577,215,802,737,758,152,706,059,333,866,859,
926,451,675,588,834,337,695,283,679,523,774,381,867,063,255,365,530,176,093,
448,234,889,475,204,620,481,957,972,408,662,782,560,545,639,240,185,925,037,
098,198,257,947,242,062,969,402,130,674,388,446,518,995,053,296,522,403,115,
331,493,789,715,307,698,066,704,737,249,614,658,681,915,250,158,457,117,177,
475,379,063,850,426,076,082,480,668,306,781,860,435,288,444,709,996,454,219,
477,843,709,581,474,734,460,655,887,963,374,085,579,214,106,988,244,141,330,
155,378,493,324,574,580,895,964,862,715,835,118,861,160,567,229,474,284,334,
898,441,241,926,192,280,095,204,151,902,946,711,065,383,044,998,402,990,045,
779,854,131,405,868,829,811,573,975,983,579,566,363,910,668,118,638,757,539,
453,264,000,981,101,749,293,998,208,808,799,863,841,943,614,733,210,427,754,
533,143,638,208,502,263,299,401,682,310,348,130,370,001,922,652,845,780,263,
931,873,287,606,295,289,874,354,015,084,983,060,757,199,576,544,223,895,516,
570,459,287,508,181,328,361,291,785,429,148,032,652,697,473,651,893,692,578,
401,294,049,955,093,814,511,078,712,687,410,745,887,342,979,034,847,538,793,
268,961,140,426,356,142,167,353,675,478,101,812,757,084,453,703,542,498,245,
659,946,475,522,784,118,601,947,834,679,280,906,165,503,831,714,628,296,185,
570,263,744,019,192,306,135,880,315,070,507,723,135,646,639,278,666,497,140,
462,662,221,759,404,785,145,346,763,641,063,990,080,692,342,276,137,090,115,
490,183,715,953,461,220,571,591,186,964,266,014,340,707,671,021,661,780,195,
967,161,692,560,585,141,123,592,149,076,748,499,711,802,238,097,229,729,991,
120,209,957,107,706,584,692,701,165,440,441,527,450,943,292,595,509,816,612,
710,245,013,311,088,668,196,612,793,737,516,941,367,008,462,622,562,158,835,
039,875,945,914,966,556,690,847,079,394,075,988,868,062,569,312,965,969,195,
462,708,157,605,459,849,773,790,863,092,894,011,696,902,263,679,976,469,495,
825,398,256,135,383,938,650,757,915,859,824,875,842,867,998,379,565,736,389,
214,754,396,140,291,487,372,094,070,750,737,632,107,146,227,766,380,425,941,
812,072,527,312,999,134,364,677,587,777,202,466,127,217,191,899,771,455,340,
733,345,561,489,927,782,732,542,700,690,258,356,720,038,896,218,532,535,918,
690,627,493,071,557,717,869,799,971,460,478,996,818,114,145,801,843,114,270,
853,768,456,470,052,486,256,215,359,232,008,921,017,208,595,827,900,028,337,
415,782,820,835,125,200,816,988,707,554,429,568,047,268,437,337,557,958,279,
108,590,992,617,488,231,564,166,512,314,550,208,211,333,166,252,506,294,813,
709,747,068,324,689,006,540,003,266,098,944,936,456,812,817,305,440,006,520,
418,730,546,729,438,890,638,216,642,342,937,383,796,524,257,097,252,895,260,
870,294,627,080,407,263,872,034,742,175,791,819,936,090,616,630,419,061,458,
735,559,789,871,021,327,503,616,036,115,140,666,792,613,227,312,095,556,885,
676,724,340,669,051,396,264,698,108,376,162,117,289,932,876,251,938,443,237,
935,666,832,660,043,217,609,313,370,869,301,895,073,489,202,353,437,356,067,
549,363,294,621,353,010,783,422,164,870,876,869,933,132,470,668,488,605,339,
130,211,128,350,637,952,472,008,092,740,381,517,628,156,983,171,536,497,823,
536,044,015,787,973,509,843,663,036,379,486,047,355,584,432,270,864,637,972,
561,519,301,085,596,005,883,031,383,784,593,934,670,344,922,862,676,760,498,
190,614,623,652,494,953,890,017,832,492,960,520,211,581,703,415,592,598,966,
620,390,591,240,455,265,824,333,057,771,095,115,334,833,398,519,235,908,735,
326,209,654,210,525,080,076,151,291,897,698,944,563,206,693,193,329,060,075,
242,593,818,655,624,032,193,812,670,060,886,330,597,393,808,079,276,161,394,
394,688,566,491,080,711,132,704,339,855,118,552,581,761,816,536,737,930,574,
804,179,197,245,425,397,470,475,369,010,207,900,354,936,521,784,016,222,086,
833,224,285,471,531,207,453,279,348,241,140,796,001,836,633,601,493,624,780,
428,400,872,694,246,127,572,378,959,511,262,147,202,718,198,406,294,202,529,
573,919,917,019,195,389,349,878,045,920,210,678,032,707,319,859,212,792,766,
884,489,302,989,928,322,365,455,839,600,497,530,484,472,887,472,081,757,761,
975,437,644,082,283,359,323,238,363,665,566,927,034,246,420,890,307,726,781,
980,591,565,790,006,998,670,864,491,736,589,557,708,158,106,957,356,982,573,
629,433,473,047,246,326,611,322,190,914,699,282,336,565,049,749,269,737,404,
431,603,209,630,624,045,883,810,615,998,012,692,030,666,201,294,230,612,952,
413,041,875,413,096,159,755,047,322,078,050,945,507,937,031,075,038,370,271,
026,335,353,675,983,686,295,820,622,947,592,388,622,610,637,170,808,409,627,
905,655,515,113,158,783,202,437,791,716,961,119,929,737,131,899,358,068,546,
902,683,008,885,056,908,886,596,086,898,708,819,404,020,732,924,088,926,521,
749,356,658,593,021,855,162,059,487,945,037,575,892,401,104,071,136,422,646,
191,557,163,748,060,769,987,155,488,006,307,199,593,435,186,024,815,865,473,
521,335,054,781,796,429,817,386,781,170,019,870,418,553,370,090,682,933,258,
108,100,581,818,057,738,431,011,612,995,450,286,272,278,980,188,099,802,597,
246,434,397,398,138,081,384,471,212,507,305,020,703,848,743,060,819,357,723,
098,825,372,766,689,157,712,020,223,955,867,876,121,829,887,483,942,599,682,
067,319,703,878,951,027,983,400,823,765,369,127,002,663,663,998,352,121,342,
927,434,911,916,176,099,505,727,322,524,097,116,066,387,495,202,665,794,291,
676,829,170,067,691,142,537,587,512,172,781,137,395,226,250,880,758,290,174,
418,737,384,904,725,462,650,662,444,999,519,898,280,940,816,331,082,852,186,
913,054,067,876,688,168,162,832,481,531,149,367,753,737,322,332,304,086,516,
417,844,844,773,935,367,971,949,382,435,265,761,926,293,184,372,255,074,516,
342,517,875,678,388,860,688,966,855,285,777,507,930,013,970,258,938,722,921,
934,913,734,509,002,606,762,618,810,099,529,550,362,408,688,718,659,048,630,
586,422,059,722,233,199,369,618,700,768,655,220,769,217,906,250,288,508,306,
422,527,100,640,037,905,529,943,590,483,545,972,836,721,680,943,536,919,184,
267,760,748,808,790,375,762,484,390,024,014,165,834,562,920,581,539,932,526,
793,763,532,532,602,091,646,589,875,022,972,043,460,606,813,273,481,658,891,
597,178,627,844,807,781,923,563,496,607,566,695,526,181,517,712,209,475,330,
071,611,477,470,997,193,024,723,495,482,222,430,070,681,958,575,214,241,891,
421,533,337,124,708,405,870,731,001,647,444,631,287,360,982,192,152,298,462,
009,272,763,097,553,942,486,127,853,583,315,084,685,521,868,021,111,175,897,
214,364,013,332,169,770,929,502,240,789,032,396,131,726,939,025,558,271,098,
551,668,986,527,703,974,942,966,977,633,222,129,681,652,831,805,892,675,457,
873,918,428,785,673,948,895,527,173,777,003,695,100,327,502,244,774,976,539,
056,150,353,078,003,420,653,892,208,679,041,177,396,135,203,826,066,255,877,
825,205,264,191,700,673,380,327,282,938,443,266,151,814,755,933,317,415,454,
696,698,705,445,193,075,180,146,429,329,981,527,617,809,053,690,036,753,603,
940,505,316,911,435,216,447,188,712,278,060,831,624,134,819,678,615,503,114,
818,903,598,432,092,463,269,260,368,940,042,277,074,336,208,371,342,739,312,
801,873,116,954,307,426,616,285,596,342,768,622,418,166,668,764,824,729,193,
524,619,443,367,158,352,181,195,022,701,745,926,698,287,110,190,863,869,503,
726,414,256,896,268,360,721,881,034,361,331,260,333,036,232,936,478,664,595,
241,103,277,823,874,581,625,555,129,466,374,841,705,327,088,758,069,311,911,
015,452,815,028,135,157,135,269,612,949,176,369,545,476,127,685,202,689,581,
656,901,190,269,911,921,085,350,069,606,380,076,834,249,184,975,349,776,902,
567,859,638,939,756,899,891,091,228,702,780,913,892,122,808,056,332,004,743,
558,062,021,309,242,758,668,080,884,311,515,245,979,635,295,275,749,160,882,
200,927,707,827,700,730,414,962,726,375,260,899,526,817,476,684,746,280,473,
840,058,378,010,213,188,617,656,643,965,191,352,183,843,859,162,971,107,676,
506,450,118,059,965,786,033,470,810,218,631,679,983,662,743,456,874,625,937,
893,547,102,472,225,391,602,914,039,477,040,253,581,633,406,361,862,635,015,
082,656,613,125,025,519,296,599,158,308,554,672,342,663,515,680,694,715,612,
631,369,342,988,270,755,262,310,115,216,932,552,809,123,142,330,324,459,264,
561,976,895,587,408,279,572,988,517,138,356,855,638,313,869,326,020,303,106,
671,261,480,234,774,374,155,724,307,085,361,047,257,557,605,881,410,376,335,
258,626,378,217,791,953,223,225,845,531,807,041,684,115,855,698,857,885,268,
470,703,645,831,019,161,702,829,405,006,734,172,974,633,428,326,712,627,838,
147,462,693,400,525,684,109,917,119,349,935,757,656,414,305,899,651,868,807,
400,479,188,677,684,023,473,669,471,649,815,532,175,296,708,237,455,386,617,
055,085,530,672,300,978,309,488,546,167,903,791,574,717,665,386,663,094,441,
709,781,395,071,729,125,524,641,091,020,115,863,968,686,372,909,190,000,868,
702,604,957,978,615,020,635,845,100,485,221,646,844,740,416,869,209,549,574,
621,729,552,402,602,842,238,981,912,821,940,628,580,129,673,265,683,616,949,
797,719,442,179,856,959,328,752,163,206,606,351,326,242,906,642,420,012,556,
375,113,873,880,439,809,783,600,671,032,834,217,391,931,889,675,291,750,205,
644,628,699,590,228,032,579,404,730,527,453,975,066,020,462,788,652,720,271,
575,921,277,067,710,749,464,781,926,013,994,169,280,351,963,134,193,657,714,
498,103,519,003,353,495,100,884,821,335,797,318,179,594,663,309,446,338,500,
608,037,652,568,351,449,813,033,423,608,579,600,076,384,937,695,809,260,702,
404,285,409,321,047,157,019,594,530,718,375,819,108,712,825,195,736,429,104,
002,455,554,470,387,970,417,944,446,681,369,293,245,885,943,966,116,054,643,
797,902,826,935,213,143,300,509,152,718,517,430,075,660,687,238,751,685,582,
127,738,947,733,237,078,891,691,126,364,010,951,347,657,932,590,575,492,612,
990,899,446,778,055,414,308,264,135,886,991,659,634,963,767,545,304,606,673,
096,686,612,241,124,265,197,588,261,485,687,558,149,401,951,903,416,939,788,
434,417,429,118,741,965,355,983,680,283,332,410,786,193,553,339,941,500,949,
346,444,318,831,212,411,439,235,032,028,011,800,993,500,717,658,102,323,871,
913,416,428,140,951,215,819,588,601,847,501,329,001,415,705,576,921,775,334,
945,621,280,128,780,723,703,141,505,979,265,243,568,044,570,411,661,608,614,
594,084,162,263,547,576,296,268,317,302,103,803,673,732,623,279,750,378,181,
497,134,543,285,689,991,984,824,884,718,010,166,155,711,553,175,848,225,822,
546,963,921,089,989,921,092,561,481,138,091,426,881,863,124,951,388,682,711,
090,951,399,275,188,467,487,439,550,383,388,312,859,883,264,507,204,254,711,
414,393,792,023,578,848,263,286,816,856,527,045,295,524,200,263,195,150,824,
700,219,177,973,616,112,893,936,476,246,076,227,668,923,310,618,090,596,392,
224,681,690,854,183,347,020,308,256,796,133,363,524,633,238,149,956,199,256,
680,630,283,878,560,528,834,529,063,939,426,302,334,566,308,301,892,566,818,
359,491,187,300,341,790,348,181,507,159,951,686,016,064,892,493,171,354,681,
707,953,558,129,983,173,042,283,896,178,661,509,345,665,182,593,173,565,099,
867,962,543,127,304,067,264,394,155,680,518,681,428,547,536,737,560,829,451,
206,619,358,738,660,327,628,051,778,747,668,479,168,491,061,339,522,510,780,
619,134,242,593,787,631,654,921,967,451,017,079,183,494,908,594,976,907,760,
360,752,659,829,573,100,219,477,557,022,905,141,993,647,678,101,968,419,263,
749,280,903,230,968,582,329,852,945,941,355,824,139,186,692,420,344,923,739,
328,542,386,317,766,059,387,892,473,489,609,835,380,399,219,695,029,603,287,
744,695,270,468,250,374,007,568,282,657,695,034,378,769,706,699,974,031,106,
873,999,311,945,623,826,504,264,294,216,679,556,897,318,974,690,387,872,816,
626,451,356,617,963,097,332,699,943,966,612,859,076,787,644,419,970,209,100,
739,062,740,525,634,648,902,532,558,069,868,875,486,989,312,864,691,709,151,
348,851,016,830,597,428,586,204,561,190,681,622,375,988,482,484,072,774,191,
856,178,133,019,174,090,191,605,712,164,904,920,885,149,374,151,817,913,480,
327,721,961,554,693,507,454,178,532,433,452,579,328,301,276,957,453,563,883,
385,569,531,469,448,872,013,174,640,525,175,222,231,854,766,987,634,947,280,
951,587,521,052,435,861,874,153,292,531,845,183,630,953,073,160,721,255,315,
630,879,061,775,681,443,348,461,926,761,468,509,775,157,100,328,533,028,412,
534,169,207,536,256,824,150,420,603,689,693,280,584,585,863,115,437,950,009,
296,080,941,796,075,620,028,080,799,283,285,448,134,711,242,716,956,981,571,
024,574,467,153,361,314,478,728,539,304,940,401,420,661,311,458,409,946,729,
693,723,810,800,795,681,082,731,154,970,864,317,157,242,657,317,022,612,034,
811,428,300,475,462,459,354,274,679,622,299,160,079,256,693,184,438,945,044,
939,699,100,746,753,799,410,299,916,292,261,582,126,602,948,010,877,688,459,
678,778,914,002,519,873,250,560,073,983,059,664,340,708,216,120,439,422,236,
356,506,870,645,745,206,390,012,706,079,904,183,657,134,669,124,384,640,608,
967,588,902,803,396,153,394,802,495,196,357,775,114,770,732,670,507,442,649,
207,128,921,964,285,343,081,385,504,387,551,210,798,533,562,594,886,260,991,
663,000,761,185,550,860,067,754,811,165,071,908,421,253,035,836,486,854,918,
363,371,719,911,954,435,833,422,094,656,893,287,868,874,760,525,678,019,517,
479,567,780,842,222,708,905,063,078,933,452,472,649,699,357,089,830,753,275,
945,680,636,041,025,460,314,841,082,792,108,898,818,715,356,102,907,385,083,
367,401,374,785,320,358,063,972,027,537,904,620,270,710,509,002,980,540,451,
933,017,820,044,564,077,514,298,106,097,911,425,054,212,588,822,349,421,524,
146,451,110,803,155,153,332,463,396,532,684,511,859,540,888,761,066,241,939,
163,774,403,255,304,317,560,749,875,379,122,635,846,895,438,797,414,070,388,
912,012,343,282,820,170,941,996,156,142,095,943,120,383,758,827,785,078,984,
431,670,002,639,845,692,538,982,246,580,000,928,308,864,233,009,446,639,361,
140,317,513,370,529,275,094,352,932,496,245,616,523,430,734,298,003,439,199,
664,927,710,365,013,006,515,097,003,133,754,336,096,337,520,797,942,017,121,
440,398,310,034,969,822,406,366,286,983,501,324,090,685,600,854,234,681,132,
923,725,316,456,968,211,334,551,039,338,792,290,031,114,288,752,189,297,671,
368,962,739,538,898,346,039,432,822,609,910,716,639,619,886,538,755,677,889,
196,716,815,629,257,432,197,392,563,986,527,828,072,435,768,490,990,169,999,
961,357,518,383,185,390,517,375,243,989,672,496,846,542,200,129,444,502,409,
606,895,285,114,873,099,265,391,213,461,820,046,628,562,170,141,354,607,427,
527,159,507,176,031,314,893,616,074,318,365,751,969,319,302,412,280,441,559,
123,492,723,765,289,007,669,040,596,919,388,455,364,196,111,222,542,057,784,
142,920,159,048,497,526,787,759,883,942,832,364,817,291,277,976,140,800,412,
719,087,662,643,431,555,278,630,728,108,718,968,992,527,829,264,806,647,687,
254,160,132,610,352,177,724,711,590,592,908,727,472,522,490,228,277,494,172,
775,832,455,080,406,939,097,909,384,022,992,273,488,199,954,665,413,138,156,
230,171,875,179,168,964,355,356,985,160,239,108,069,277,247,393,240,289,440,
640,972,380,849,796,661,274,223,754,729,296,493,941,538,728,898,509,844,253,
022,413,382,732,700,704,521,834,349,943,763,437,779,359,094,492,379,721,524,
783,771,494,607,213,425,370,920,081,164,412,771,797,197,971,221,472,160,131,
656,326,704,008,257,278,079,971,391,157,653,837,874,039,901,776,169,952,102,
972,835,088,372,384,440,206,739,084,799,843,989,959,000,427,483,770,225,428,
655,206,671,775,794,438,981,480,305,314,492,017,040,644,631,725,964,024,281,
007,995,730,059,247,464,347,610,640,761,336,235,625,492,311,686,683,508,905,
206,836,503,605,584,595,668,963,419,161,151,455,839,069,582,760,798,349,558,
121,285,394,463,767,909,278,971,545,395,936,133,037,299,174,572,609,578,001,
405,819,671,165,916,118,812,132,729,587,386,726,519,079,890,976,291,905,934,
701,841,277,370,502,604,456,514,456,893,212,818,029,234,500,289,613,210,738,
683,013,249,500,761,989,004,246,895,425,489,073,936,361,879,605,624,326,954,
182,511,444,829,759,327,083,785,684,020,177,994,940,752,425,239,914,459,835,
184,637,672,325,480,450,893,677,137,256,973,225,029,558,277,773,932,290,016,
017,595,844,433,328,990,866,314,427,272,466,005,797,981,005,919,751,350,686,
114,984,437,702,072,299,070,879,168,592,874,056,870,550,605,802,383,081,050,
307,702,006,514,910,520,702,824,930,502,875,655,691,886,810,898,160,973,512,
334,711,222,006,938,272,439,914,545,430,442,021,200,550,428,303,443,987,568,
135,110,692,937,837,649,763,052,902,669,888,517,247,394,844,534,334,288,867,
899,931,194,426,968,409,753,324,603,101,321,150,802,036,534,693,902,357,238,
399,187,670,831,308,677,993,418,255,007,013,877,190,268,150,567,230,807,393,
211,644,349,638,299,941,375,675,999,476,846,065,564,927,217,623,004,756,105,
569,094,853,729,444,843,826,531,267,510,733,575,868,581,250,232,429,833,323,
587,495,238,233,095,811,678,283,810,077,641,391,739,914,143,669,289,442,433,
275,227,676,704,574,443,232,414,488,315,335,215,340,529,127,097,456,411,441,
865,495,814,418,049,458,037,848,495,846,559,274,452,614,602,828,417,447,695,
992,808,150,856,535,643,386,618,264,572,637,814,942,073,935,766,650,815,036,
920,783,285,701,750,201,154,251,442,062,752,900,934,743,071,192,487,238,576,
200,846,057,104,028,728,945,231,549,081,102,369,728,519,201,291,602,719,576,
254,951,889,679,632,392,484,562,438,266,831,961,726,125,722,523,623,710,185,
695,426,343,626,463,023,050,496,824,817,625,651,463,269,756,857,995,598,069,
633,485,554,104,834,668,261,792,220,262,103,508,522,542,055,190,714,643,677,
193,569,016,786,463,958,209,295,662,447,880,060,179,644,480,216,111,649,819,
858,420,957,850,260,744,494,008,226,548,858,735,978,436,103,845,200,711,019,
126,939,030,217,416,218,473,219,338,747,213,498,878,858,439,231,265,474,258,
142,663,559,312,973,406,397,395,808,331,857,940,496,027,584,690,931,341,243,
508,893,337,978,906,006,758,480,573,144,014,790,853,346,335,557,105,727,701,
037,388,733,450,131,723,798,423,467,540,739,331,768,808,519,385,447,532,153,
098,656,588,093,227,154,463,549,427,286,719,419,826,631,288,875,089,414,206,
926,962,813,232,373,274,730,509,136,583,009,406,028,880,080,464,349,799,258,
605,967,733,764,564,615,780,839,693,381,245,798,902,573,440,623,916,803,861,
692,985,811,302,372,453,820,584,297,999,660,692,720,238,704,346,225,079,700,
867,389,532,113,924,418,855,458,926,844,728,757,219,460,887,954,367,724,766,
552,554,721,807,279,035,308,968,264,599,720,363,776,105,714,665,342,602,289,
189,707,333,295,762,126,098,202,714,237,628,910,366,706,406,106,108,265,067,
101,905,464,570,141,097,902,268,573,174,849,042,315,459,453,456,514,369,790,
531,974,004,173,359,220,426,088,407,521,178,731,191,056,541,790,930,898,375,
704,726,532,937,952,979,929,855,432,267,485,199,845,040,195,740,214,232,338,
525,819,240,760,455,501,226,111,884,909,314,012,076,246,802,921,537,502,504,
197,095,856,740,100,159,602,904,755,309,714,872,753,250,579,920,216,328,499,
034,200,876,229,880,829,254,479,936,641,803,512,612,912,165,511,608,192,089,
780,705,133,879,104,608,714,698,241,503,204,776,701,050,868,891,382,183,032,
819,016,810,700,907,385,576,709,889,738,735,752,056,284,696,164,488,646,532,
233,714,060,567,567,983,396,922,715,031,923,012,229,498,822,374,059,867,952,
334,112,694,795,911,052,192,784,493,169,541,867,130,669,758,175,165,817,204,
191,349,608,292,041,514,989,801,729,462,792,362,765,119,000,602,291,431,400,
447,048,478,174,247,330,966,375,402,741,582,182,146,305,790,416,080,276,632,
864,684,298,165,782,800,507,115,673,549,921,157,859,051,512,155,527,260,551,
524,947,485,275,174,308,571,864,109,873,667,047,494,032,970,737,829,635,412,
366,733,201,564,230,155,558,561,812,701,986,073,458,460,573,204,464,104,021,
400,823,254,856,687,202,881,145,206,847,449,210,921,905,456,985,549,702,272,
240,733,328,038,303,911,570,625,566,149,022,307,852,742,298,383,072,393,910,
989,803,563,876,747,496,742,729,421,993,176,919,743,409,743,701,580,399,721,
183,312,638,435,491,315,896,843,746,103,926,797,692,155,230,950,092,715,759,
294,223,550,768,875,163,364,467,831,926,137,967,957,244,696,440,544,071,528,
073,874,812,414,164,296,790,455,198,383,146,074,915,739,862,159,330,636,251,
357,624,063,850,294,363,189,312,069,512,097,950,200,143,515,012,074,684,007,
318,502,004,602,229,846,858,413,340,460,392,449,486,113,210,844,941,788,070,
667,237,558,175,776,871,086,389,019,282,819,918,752,641,960,084,230,367,673,
027,929,883,333,396,634,230,774,251,101,711,834,151,843,934,987,059,521,139,
512,075,882,127,596,073,901,595,897,937,211,202,824,098,328,838,231,278,655,
005,832,212,843,053,668,876,263,914,787,805,445,412,725,116,916,271,879,685,
705,580,621,800,817,811,394,444,789,182,974,788,537,594,407,739,121,314,896,
384,999,763,113,307,536,975,275,220,774,163,792,616,991,178,875,297,403,775,
600,589,472,773,324,923,491,180,644,959,535,071,948,368,119,977,422,978,469,
518,055,092,894,750,448,360,165,098,347,330,161,248,096,435,795,008,952,745,
809,449,893,714,051,964,077,465,599,425,914,101,549,838,598,135,920,072,415,
379,339,338,909,105,513,373,541,347,620,567,186,485,574,712,857,420,105,257,
091,589,357,852,957,005,876,123,234,036,203,135,878,380,644,629,221,001,946,
741,427,742,402,700,318,593,061,194,605,603,389,727,285,287,204,092,474,463,
350,503,020,942,591,465,263,567,980,169,329,384,927,417,385,911,890,614,937,
767,970,834,010,367,583,275,693,402,663,689,111,842,921,001,140,745,582,880,
736,782,087,256,343,596,109,763,437,315,444,817,889,271,600,581,007,896,172,
228,998,552,080,095,189,236,911,381,292,760,021,255,909,724,519,470,676,118,
234,703,441,368,887,555,979,345,454,413,688,309,624,542,281,658,184,582,510,
443,232,897,815,387,238,890,165,307,236,887,224,594,540,232,884,951,515,496,
329,478,161,053,086,886,025,176,635,655,743,566,757,051,538,882,261,394,187,
427,512,618,552,360,055,145,725,518,583,728,606,841,577,303,321,062,108,725,
251,401,743,376,873,253,063,321,369,603,398,288,422,144,479,432,962,197,168,
453,581,565,419,503,427,399,500,514,012,397,369,064,816,081,195,255,627,035,
882,369,138,672,201,493,339,725,565,214,303,393,852,968,596,413,225,723,129,
046,341,948,387,237,284,179,288,518,745,457,357,815,171,056,277,449,488,788,
224,652,667,741,232,480,880,427,561,708,158,938,976,856,848,705,853,348,429,
440,661,374,736,912,950,543,385,266,818,220,293,255,296,019,779,457,991,870,
187,695,830,843,535,287,415,988,042,485,986,639,093,940,129,937,939,094,535,
157,980,495,098,678,002,348,102,008,191,066,530,125,147,546,040,320,548,683,
222,996,150,128,063,163,132,960,965,420,473,156,564,443,089,906,671,211,424,
376,802,553,784,399,243,166,507,987,207,432,455,727,763,122,382,743,008,217,
554,643,630,004,241,254,229,988,155,158,704,450,204,168,053,533,449,922,426,
743,786,887,362,297,325,984,877,362,710,956,422,736,875,071,543,140,958,028,
796,117,641,545,275,743,209,614,736,369,248,598,881,998,185,594,524,322,855,
860,566,521,560,094,682,002,748,074,851,356,370,913,097,354,968,423,733,789,
620,328,587,499,164,039,445,521,538,335,035,780,512,485,348,597,277,286,528,
657,949,023,429,909,992,973,143,461,872,211,172,448,031,889,029,171,812,805,
035,004,323,036,321,940,617,450,334,775,587,796,053,923,490,418,581,312,642,
109,267,604,918,753,150,594,206,115,128,016,570,416,243,591,106,313,048,682,
533,155,285,837,295,601,605,296,203,023,969,591,452,212,617,626,162,179,512,
179,637,325,684,473,905,526,380,149,159,722,469,147,208,564,614,989,682,435,
996,534,320,486,207,719,791,742,808,435,989,489,105,111,996,952,271,494,715,
231,671,781,138,971,789,374,355,978,248,484,145,736,312,467,210,600,384,907,
114,776,786,410,135,725,392,106,788,942,740,493,869,660,215,671,081,099,770,
052,717,643,608,422,232,933,043,673,860,846,912,456,404,377,815,867,981,715,
141,924,963,053,728,955,643,553,089,479,960,180,023,548,666,551,447,818,310,
180,762,423,832,429,047,267,001,951,642,576,909,034,060,237,203,701,109,705,
533,002,773,214,209,695,538,170,815,692,314,930,438,049,111,798,996,226,494,
053,699,860,543,491,636,590,769,139,475,637,244,736,423,831,754,647,952,232,
042,155,837,304,936,071,424,098,095,794,979,185,823,749,296,206,454,523,311,
872,076,532,744,501,622,785,732,861,699,214,415,408,608,230,527,803,879,583,
610,594,955,669,013,538,558,504,200,613,980,486,697,795,296,416,198,503,942,
498,214,559,763,695,234,429,223,751,825,326,107,001,714,907,812,350,133,071,
953,470,400,313,858,034,215,261,382,734,002,853,491,714,747,535,412,848,603,
898,684,500,434,415,058,499,060,618,883,078,352,919,377,086,052,553,556,666,
144,202,570,668,597,074,173,603,712,462,222,043,242,236,442,366,703,504,937,
426,400,761,085,871,037,662,503,701,883,460,076,789,572,762,420,897,531,942,
345,711,657,429,954,901,827,228,708,267,108,042,174,137,696,866,257,341,158,
976,274,350,687,885,194,074,322,628,526,636,363,514,521,899,131,588,355,242,
025,255,208,253,350,551,968,816,833,385,571,508,318,343,355,344,855,255,471,
683,960,648,326,486,066,441,014,762,301,001,174,139,724,325,484,776,705,506,
915,738,717,394,703,386,434,678,658,116,625,036,840,859,982,589,558,088,579,
567,962,669,326,744,092,495,160,021,204,836,403,765,959,566,158,628,307,789,
757,887,876,512,700,775,578,539,467,468,345,291,255,477,313,170,171,823,354,
380,987,600,780,127,582,676,137,912,496,270,934,306,814,565,701,545,203,699,
142,159,729,402,803,932,408,798,000,288,450,221,732,112,346,559,029,832,418,
657,745,205,738,487,722,908,334,197,015,075,836,503,894,690,412,472,679,962,
127,725,800,771,838,523,964,902,419,849,034,950,435,470,350,590,726,002,040,
746,871,507,937,294,208,615,044,436,815,001,102,059,192,952,659,484,904,528,
370,742,785,855,752,759,263,413,207,892,939,548,544,218,351,379,741,354,282,
814,613,777,286,608,334,842,458,945,512,790,605,694,730,581,108,340,667,537,
908,442,764,457,234,963,510,357,705,821,674,202,707,299,403,213,093,918,740,
423,159,318,673,088,287,107,850,189,944,019,545,876,961,384,838,326,269,707,
990,533,231,563,903,641,138,984,768,536,230,526,490,793,057,874,851,655,428,
809,017,866,916,283,763,607,577,770,386,119,950,094,787,206,914,106,424,865,
118,034,103,063,777,369,677,567,449,332,711,847,256,519,828,290,171,611,580,
188,809,780,965,659,974,927,439,716,955,443,463,246,730,577,563,644,705,887,
105,722,090,583,929,258,110,387,837,983,774,522,029,113,391,117,478,770,751,
503,087,987,799,686,963,957,368,785,148,258,493,849,660,063,401,720,288,904,
571,775,028,812,471,049,632,833,808,712,274,679,183,794,892,059,409,767,754,
348,418,135,207,981,358,925,658,914,774,183,483,248,709,215,738,680,977,665,
958,056,532,157,002,520,336,213,893,002,332,048,534,970,014,031,638,322,037,
289,187,922,130,308,872,843,726,171,578,402,755,539,486,541,953,294,662,589,
468,447,740,475,076,968,540,507,634,352,730,508,265,984,603,709,755,686,172,
976,365,016,497,419,722,272,115,899,442,728,962,735,464,585,751,190,619,082,
258,691,628,492,064,078,117,763,430,269,346,406,710,038,833,169,929,980,417,
429,926,960,976,333,785,095,547,807,977,973,249,917,706,367,089,412,443,580,
685,130,197,318,413,538,377,123,052,601,933,699,965,599,030,379,928,449,555,
002,098,637,264,923,196,420,722,208,691,426,490,194,494,261,967,014,638,525,
238,026,048,561,525,022,906,923,139,196,394,003,406,708,079,297,971,115,489,
008,948,795,296,930,363,946,184,169,098,943,472,064,197,486,453,279,953,899,
029,573,680,481,322,378,092,292,992,623,706,597,608,166,218,569,569,947,672,
485,486,968,364,707,844,851,353,620,176,966,858,312,236,765,654,083,090,893,
704,450,610,873,268,567,540,984,800,993,699,374,207,773,038,606,078,868,917,
315,965,587,893,004,550,953,559,054,188,294,588,683,028,545,917,662,903,421,
147,173,017,087,206,152,627,674,814,182,668,736,967,111,339,605,017,691,452,
818,562,271,383,893,612,688,555,924,369,011,571,174,551,862,204,057,063,212,
058,455,552,035,679,333,699,532,550,021,166,154,449,595,187,269,713,831,507,
699,249,551,236,403,669,841,717,676,426,375,249,027,405,345,092,645,669,030,
179,496,110,124,850,344,485,323,755,011,818,510,372,797,212,284,238,005,620,
267,750,488,328,279,465,119,409,582,891,074,787,998,515,250,963,762,491,151,
075,893,238,703,572,845,940,786,856,389,670,680,417,999,018,637,531,648,163,
663,048,462,577,799,227,372,663,668,706,323,185,188,164,844,418,803,074,791,
868,186,704,535,741,787,840,844,878,084,592,311,754,713,742,441,195,399,168,
094,119,455,004,581,626,480,954,220,590,453,822,386,727,302,117,999,468,046,
881,718,057,684,369,325,632,660,966,789,513,124,420,271,982,686,763,201,558,
582,544,601,744,049,805,270,000,839,094,779,903,640,285,620,647,929,906,667,
402,526,639,652,361,872,876,868,931,106,673,150,795,158,150,610,543,865,041,
678,562,743,409,214,136,768,270,772,917,360,193,296,366,484,724,649,676,759,
403,651,814,602,061,941,324,810,294,328,021,173,154,954,769,942,914,628,548,
115,498,532,332,619,264,441,302,325,530,936,954,430,971,548,947,340,861,751,
050,138,941,529,797,073,078,071,719,363,484,545,632,956,814,223,514,922,556,
706,168,248,206,670,069,631,033,421,982,665,263,257,400,600,528,382,877,845,
497,781,902,584,705,845,867,882,230,202,967,207,474,464,235,311,159,082,904,
961,479,084,849,623,336,136,638,524,343,034,242,510,995,170,270,753,583,749,
380,226,315,799,691,912,240,065,983,978,957,987,186,645,965,145,768,002,417,
942,188,899,937,986,324,205,237,156,625,584,244,108,100,095,264,256,523,325,
742,748,040,737,862,241,588,649,070,466,477,803,212,302,659,679,259,116,575,
324,749,561,141,068,049,178,484,857,889,512,031,395,423,451,439,349,749,498,
427,768,084,609,106,986,266,562,287,427,659,525,611,480,237,763,034,258,150,
153,739,473,115,629,145,204,817,391,423,846,910,964,725,682,478,782,275,238,
336,531,019,049,782,287,595,502,092,965,581,822,971,611,747,951,185,336,881,
051,600,574,002,982,554,454,016,366,473,180,493,521,695,775,453,739,729,209,
734,343,890,316,787,769,310,368,614,186,811,022,046,724,939,842,186,643,614,
925,326,118,744,849,111,367,833,276,474,101,797,316,245,263,967,625,555,962,
467,392,873,151,683,142,489,822,745,525,093,961,470,750,494,510,482,050,675,
964,672,655,310,791,627,260,192,973,556,167,107,742,392,686,457,562,512,224,
493,220,139,727,549,453,219,610,758,676,010,643,277,808,412,358,779,629,760,
870,685,444,899,526,195,181,058,641,574,769,724,174,180,974,748,482,453,671,
214,089,675,160,695,516,516,790,466,646,039,291,821,879,091,460,247,281,133,
525,217,802,785,896,310,779,192,879,410,743,315,665,516,024,269,345,944,790,
423,422,688,501,621,995,644,952,324,590,612,460,139,957,798,348,641,081,075,
398,333,583,731,502,343,253,715,625,548,078,410,928,619,079,902,596,791,723,
468,550,024,466,386,311,755,457,366,691,451,122,540,812,023,745,310,100,715,
628,660,381,934,565,647,364,998,219,640,281,775,244,173,740,898,792,199,959,
545,331,272,058,734,716,500,362,838,721,439,906,915,981,627,257,585,632,719,
267,881,326,737,297,241,840,690,660,180,146,163,466,821,107,479,665,529,157,
530,642,221,192,747,348,423,314,305,812,570,681,873,983,236,969,968,797,381,
506,530,300,662,686,877,998,452,782,396,385,899,238,718,400,011,962,942,421,
802,552,074,972,113,600,254,063,143,462,026,441,141,928,830,772,407,391,945,
035,036,417,875,099,689,727,181,405,183,925,838,890,197,772,327,814,726,759,
153,086,556,372,343,743,729,451,589,586,439,523,834,929,627,333,759,189,837,
741,211,918,007,382,977,356,570,190,005,129,261,771,506,174,297,674,839,498,
430,008,591,044,017,438,025,929,799,273,166,056,196,476,488,052,040,084,000,
891,885,994,196,121,324,732,834,390,303,333,510,471,122,027,442,648,290,428,
123,091,098,289,693,711,189,325,375,131,332,668,196,827,748,656,192,734,213,
319,578,469,148,598,247,938,372,241,960,542,074,637,743,902,340,683,130,258,
780,195,124,626,260,365,585,364,956,954,468,461,323,453,229,152,231,364,208,
851,885,347,372,939,087,962,784,431,429,330,931,096,277,727,460,530,430,398,
304,385,917,932,794,743,953,527,008,961,168,768,134,677,023,530,846,168,155,
057,169,357,149,856,999,599,309,332,700,910,537,744,203,296,086,109,369,938,
721,980,743,602,218,249,237,888,339,794,435,576,467,037,769,048,160,960,518,
622,044,925,386,357,402,251,816,880,540,604,545,646,436,871,338,735,641,635,
505,002,257,776,690,053,451,001,033,819,832,438,750,126,616,108,797,169,989,
583,825,735,138,204,584,326,376,043,682,849,857,653,636,240,559,379,332,862,
211,675,870,354,949,754,665,207,737,369,743,156,819,443,538,364,683,006,374,
258,686,915,724,226,278,205,553,056,583,857,464,037,608,262,024,331,664,645,
246,527,733,703,382,035,745,261,758,622,692,004,621,878,336,684,867,788,731,
061,809,166,015,702,421,359,827,869,578,268,664,102,604,907,930,667,889,404,
371,331,786,245,289,707,131,321,075,960,039,089,063,097,535,715,323,816,905,
431,478,463,305,384,742,183,286,954,680,997,767,865,108,970,689,516,110,388,
730,114,188,444,027,803,661,512,663,629,786,243,272,592,307,826,807,750,249,
491,849,170,297,646,932,016,828,273,633,860,723,441,833,988,848,444,945,584,
372,559,928,119,536,763,795,464,532,039,040,768,622,065,630,836,456,455,832,
484,358,524,134,174,655,524,582,180,219,368,338,480,033,982,381,892,115,381,
279,790,890,170,091,837,081,215,774,574,894,044,355,325,119,578,138,614,565,
683,460,130,362,032,356,915,343,838,079,337,982,790,061,519,809,842,573,683,
286,920,904,962,737,697,475,976,188,905,460,092,249,152,461,719,436,782,019,
147,452,145,927,779,208,398,691,866,589,971,431,358,691,209,753,503,955,522,
945,328,954,947,214,277,257,721,768,230,181,445,839,077,097,330,887,310,856,
879,313,290,883,110,648,614,450,660,766,445,194,232,288,319,916,785,097,537,
124,045,910,773,438,740,049,094,485,762,724,564,996,042,045,534,950,214,999,
071,286,483,968,906,648,373,130,600,455,643,562,037,348,048,748,574,149,374,
965,895,204,421,234,885,391,217,099,055,895,392,156,558,576,103,018,365,061,
381,731,640,624,517,346,304,699,092,457,382,482,702,660,552,273,532,264,750,
500,028,086,383,393,537,508,152,827,602,923,175,159,624,322,369,517,347,541,
595,259,173,077,031,636,806,571,718,976,794,142,947,790,494,640,771,455,459,
554,575,758,270,201,433,867,096,981,949,208,573,806,754,469,428,579,058,323,
906,346,873,519,850,895,729,963,778,111,616,153,004,463,518,910,878,801,125,
440,646,985,322,060,820,997,971,970,186,126,977,022,257,343,640,186,768,133,
410,774,605,055,512,760,894,183,813,632,901,893,873,803,651,937,514,571,441,
608,275,085,418,354,571,955,187,533,334,836,644,889,029,636,455,837,032,685,
521,956,911,349,200,043,998,482,094,577,474,578,233,560,690,728,256,789,063,
728,334,790,032,620,469,068,717,956,354,523,326,177,857,546,270,106,502,234,
189,131,834,408,652,219,773,442,012,668,330,968,258,421,653,927,333,617,541,
898,818,697,178,350,282,725,546,146,110,295,914,281,472,824,177,893,004,586,
037,743,097,583,721,903,933,645,762,768,846,497,639,006,069,099,348,712,475,
842,973,429,146,603,855,305,154,798,545,356,571,681,154,095,990,698,701,175,
135,447,896,548,231,593,830,130,426,091,304,178,551,534,214,364,981,663,945,
099,136,074,950,402,338,407,880,788,339,237,929,252,622,137,297,648,029,847,
496,439,419,217,886,999,159,898,708,488,488,754,703,896,790,670,144,012,096,
129,042,046,721,600,631,177,805,030,370,353,534,080,484,756,175,505,710,398,
722,716,781,836,130,653,038,529,237,241,843,333,975,695,343,927,457,526,359,
962,359,107,560,692,436,269,929,100,929,425,018,914,127,493,743,084,497,839,
741,428,269,992,813,516,704,133,485,195,963,752,270,244,606,011,760,037,645,
924,977,896,354,383,120,121,476,842,353,032,393,405,961,009,985,912,137,116,
036,975,120,672,123,053,935,822,470,741,711,583,975,803,702,055,952,131,073,
627,751,624,703,895,328,432,591,758,106,414,843,340,207,675,669,915,554,811,
755,426,042,413,113,679,232,482,709,972,957,421,103,610,605,737,513,916,130,
320,243,371,910,249,501,914,208,746,049,425,360,951,943,691,940,645,372,705,
485,914,583,887,819,303,875,441,956,647,146,115,890,615,454,119,196,575,758,
771,236,173,257,260,425,327,809,388,121,617,371,794,166,186,004,298,620,049,
596,166,484,661,818,642,375,731,779,320,124,282,050,283,375,176,502,448,081,
685,252,892,314,456,092,851,274,316,121,202,458,532,141,751,921,239,809,550,
617,421,051,704,095,236,695,913,369,309,524,699,410,875,456,429,095,918,270,
721,923,056,764,426,825,734,291,810,758,933,091,379,579,641,470,825,006,164,
935,229,878,317,730,062,233,142,272,386,900,579,664,478,369,205,777,459,890,
162,340,544,209,656,493,070,578,279,260,050,550,375,477,128,234,836,488,809,
883,022,935,334,068,872,493,943,069,402,730,295,348,219,041,868,008,759,508,
513,902,281,126,986,766,663,538,652,063,025,611,364,373,736,015,570,971,167,
827,702,006,209,187,530,130,702,031,977,471,191,437,672,489,605,465,818,267,
907,155,505,238,291,122,811,985,180,407,014,088,616,688,782,479,570,303,832,
258,718,215,226,449,368,843,490,651,765,599,966,454,979,982,128,922,067,570,
030,440,478,924,118,362,259,196,148,958,464,281,479,490,991,282,627,205,142,
022,471,727,191,805,390,431,498,724,661,288,078,336,490,219,215,030,946,048,
111,239,119,997,806,313,580,567,118,898,204,654,855,380,264,155,085,269,108,
969,214,022,134,417,362,222,521,383,743,618,942,808,520,125,283,228,047,104,
741,142,138,527,802,035,406,791,805,140,335,014,009,463,378,775,534,641,909,
673,661,074,928,763,115,682,382,425,249,793,231,420,233,315,538,138,926,228,
196,358,822,470,612,476,087,507,631,443,435,020,689,906,885,779,928,828,124,
663,167,106,420,921,739,826,751,831,392,640,335,572,490,204,758,609,627,441,
484,425,821,010,539,473,964,833,891,259,531,121,821,145,392,987,853,854,998,
853,545,655,601,627,207,103,780,305,263,914,730,122,688,697,062,402,749,853,
072,603,675,830,415,626,603,041,539,414,789,072,210,510,077,111,885,144,508,
562,384,541,898,039,677,449,931,405,233,760,224,812,588,158,203,284,351,816,
793,212,323,714,548,666,490,840,040,685,299,049,720,219,743,232,238,743,105,
308,581,504,503,002,947,020,832,825,779,039,406,546,745,132,098,459,936,388,
945,425,113,587,845,830,098,617,804,533,676,986,954,785,356,597,095,730,596,
941,197,773,654,563,504,191,678,280,245,692,216,928,620,602,296,927,244,108,
151,521,289,917,396,084,126,444,424,999,667,728,755,685,022,795,201,092,246,
501,902,417,726,192,611,469,960,877,299,609,976,813,835,866,782,745,554,625,
660,671,199,242,722,462,813,936,580,409,089,202,677,166,050,593,655,325,718,
563,370,613,374,165,800,329,599,106,887,698,727,815,295,398,132,639,380,545,
096,195,842,662,016,358,314,792,882,254,254,078,866,938,493,178,437,102,848,
561,880,919,282,462,473,899,220,735,903,345,411,993,210,197,705,776,445,128,
497,145,075,023,600,626,056,197,888,962,586,516,105,362,963,554,684,424,339,
801,341,041,397,286,388,970,379,477,763,023,868,743,234,442,129,624,433,435,
929,474,604,556,407,068,616,681,298,214,862,673,795,605,909,747,021,802,616,
019,859,734,074,913,357,732,494,680,024,753,437,672,257,306,297,606,453,782,
548,897,852,260,300,480,223,062,828,510,695,388,845,073,230,505,210,701,819,
998,927,923,228,053,038,677,746,773,276,668,585,224,416,347,726,641,991,659,
345,920,810,132,332,492,466,939,849,355,023,040,763,929,066,204,275,897,211,
743,135,551,803,232,919,894,992,672,318,049,131,833,928,241,847,535,271,578,
671,214,482,759,447,359,676,240,674,129,041,582,365,014,037,449,619,834,931,
256,345,044,535,212,709,531,627,554,736,261,762,690,860,361,134,148,467,925,
642,913,972,448,812,811,714,020,147,404,383,446,855,844,822,773,482,524,700,
393,579,714,289,435,920,967,557,348,757,674,894,170,544,759,536,253,021,941,
979,386,460,032,803,202,997,672,627,187,582,270,265,027,247,184,606,870,246,
833,304,042,997,626,834,561,424,228,932,357,552,610,905,177,548,775,465,142,
578,738,667,787,986,234,170,681,219,964,707,487,375,073,991,624,028,798,157,
613,594,442,788,733,978,462,804,907,547,603,036,489,599,906,581,054,071,103,
693,235,895,246,630,989,374,697,932,678,923,691,114,015,456,863,261,877,112,
282,097,612,320,548,290,537,242,376,681,017,755,815,256,333,467,648,656,285,
027,372,525,390,907,249,119,792,781,056,897,754,311,092,633,664,692,903,714,
970,256,827,925,752,787,028,065,561,532,911,584,740,700,817,948,830,097,811,
167,292,458,096,282,496,388,898,059,754,348,880,936,728,647,995,222,504,226,
642,404,614,342,428,642,945,483,175,718,930,393,767,842,889,791,290,038,239,
013,551,416,523,947,294,348,824,241,155,272,483,924,786,041,469,247,035,387,
798,212,545,980,167,819,233,261,594,802,067,130,978,730,485,919,939,209,877,
762,961,407,210,987,740,248,411,841,932,437,417,898,352,484,802,866,363,406,
616,993,773,024,471,960,960,581,258,526,801,382,719,798,912,897,248,805,175,
354,262,381,545,620,976,365,626,622,139,904,044,545,491,474,033,789,716,795,
379,015,528,154,153,605,945,560,026,802,446,657,019,886,108,082,747,833,428,
072,370,729,010,441,021,944,408,425,555,076,177,419,010,901,325,714,117,332,
582,359,665,048,165,340,360,683,900,121,531,305,221,727,403,631,153,285,876,
886,615,421,418,653,082,273,447,963,252,300,561,069,011,668,823,063,798,125,
898,215,007,871,792,713,694,252,609,828,046,133,468,358,331,240,023,154,397,
591,852,144,258,274,807,240,228,749,001,742,207,708,247,553,719,647,748,777,
628,309,778,876,023,940,450,512,857,653,166,876,668,261,486,865,408,974,565,
993,432,557,306,595,939,084,450,840,609,742,711,538,681,339,009,127,462,727,
749,300,978,751,308,526,911,703,194,967,692,322,557,413,772,788,052,022,485,
850,258,078,352,453,061,931,918,218,772,424,073,648,866,582,665,027,814,507,
586,813,955,978,817,019,214,693,750,287,965,189,504,782,047,314,821,472,144,
641,542,259,118,094,517,181,932,090,602,594,490,488,511,533,046,653,902,190,
008,892,051,962,185,800,132,787,413,001,508,696,425,149,102,290,667,936,840,
280,266,343,252,137,331,665,293,324,257,123,654,970,600,233,506,226,472,153,
201,341,714,905,129,291,683,145,586,568,145,327,316,396,510,173,094,313,035,
522,170,090,540,928,888,336,858,922,221,678,219,510,612,027,578,657,532,567,
588,166,578,833,855,607,843,986,814,249,905,492,893,511,866,693,119,417,738,
929,179,478,314,824,224,007,304,896,921,748,231,073,709,458,674,715,124,980,
682,636,535,262,498,151,150,771,137,269,129,972,952,435,610,859,354,918,509,
440,230,737,755,055,939,530,700,850,641,729,396,045,848,176,752,764,905,028,
035,496,954,132,821,346,398,830,117,068,502,062,795,917,837,405,492,960,272,
149,531,225,383,838,928,949,272,986,464,256,190,548,749,449,200,140,265,654,
668,232,605,352,910,815,589,822,451,792,274,429,821,996,229,665,100,129,206,
596,641,054,973,116,818,397,821,270,151,709,298,328,135,246,313,729,887,148,
346,329,233,236,062,207,463,191,817,670,607,791,335,721,954,304,993,088,711,
036,358,348,165,223,849,099,177,083,209,469,532,138,781,492,224,292,022,018,
576,664,028,549,195,625,963,521,892,980,344,116,893,375,963,547,880,502,654,
374,258,796,046,547,195,169,898,709,605,142,256,929,868,359,081,292,269,843,
622,436,520,622,343,756,639,695,261,353,956,140,235,642,241,710,722,739,013,
123,550,751,817,197,215,905,976,617,276,107,775,512,595,559,850,244,405,716,
378,631,877,222,855,869,326,940,971,020,147,117,856,411,196,692,673,361,280,
670,651,061,416,210,792,513,771,437,365,469,522,416,218,158,410,338,070,395,
133,585,244,476,375,247,019,157,408,218,372,493,448,191,719,726,637,175,443,
332,167,777,260,565,949,006,455,020,581,135,524,979,831,445,608,887,977,115,
456,481,120,772,086,090,141,381,674,034,340,098,846,592,894,955,339,289,376,
893,675,222,532,419,367,019,019,404,823,892,669,912,244,671,215,135,663,842,
421,199,744,289,694,307,572,378,720,320,577,304,052,500,824,936,303,046,307,
600,615,916,862,023,297,658,218,253,685,757,342,503,766,357,531,692,753,689,
090,505,365,799,772,846,031,740,242,456,711,326,063,589,907,668,013,833,013,
533,526,582,873,829,356,936,336,067,640,599,546,277,537,850,933,339,741,798,
325,301,135,821,742,314,310,626,547,893,335,742,010,368,829,781,989,570,820,
682,698,237,919,069,713,409,457,429,190,632,020,859,086,909,911,393,740,407,
513,778,732,041,079,281,628,286,276,337,131,307,674,525,314,210,029,077,951,
721,531,024,460,121,416,020,725,533,481,005,065,295,000,227,225,894,638,313,
834,495,875,535,059,102,050,851,329,658,876,658,013,459,104,019,365,025,305,
237,071,679,697,014,177,093,192,630,793,498,485,137,576,385,980,648,986,275,
171,992,717,532,262,737,000,974,946,642,573,287,283,507,365,260,101,040,943,
691,641,368,055,821,935,251,810,896,230,060,961,512,694,339,493,550,292,866,
918,923,572,366,626,728,513,994,533,829,605,744,801,955,047,112,277,142,623,
816,889,856,399,534,265,327,727,990,089,774,812,293,371,875,399,668,350,551,
220,954,090,766,547,075,011,655,827,403,946,720,778,059,943,619,006,621,919,
001,603,102,766,071,266,821,726,164,340,715,435,554,399,932,255,638,174,236,
202,666,887,711,330,295,024,153,371,816,977,886,708,542,434,776,335,651,539,
328,400,613,260,435,090,890,610,730,389,401,609,640,924,056,351,153,383,211,
487,849,667,463,952,754,897,871,340,866,858,979,019,275,584,050,494,637,956,
940,924,905,502,679,245,679,352,620,374,312,917,226,784,110,966,816,477,281,
116,598,268,676,451,850,125,292,903,828,312,565,840,013,639,725,478,502,873,
731,291,595,028,890,698,137,750,021,446,905,947,626,542,875,013,234,318,015,
465,319,765,754,297,065,670,719,764,648,150,470,532,567,622,360,840,488,984,
237,474,164,130,551,281,297,028,454,644,854,208,379,100,404,009,390,311,278,
089,968,416,058,717,451,860,491,805,353,829,001,323,011,678,006,834,959,146,
592,149,582,377,843,875,926,992,978,283,917,792,063,034,862,393,249,863,163,
720,575,918,011,250,053,863,661,014,392,433,107,836,205,885,851,259,780,788,
262,429,146,629,609,489,485,065,721,918,646,695,797,000,775,996,756,933,907,
544,261,344,871,498,550,900,090,092,139,008,186,176,655,617,432,662,465,327,
377,512,267,224,727,543,423,764,103,452,417,865,625,608,266,865,615,289,583,
829,958,101,108,857,918,130,917,238,053,933,066,063,016,567,148,439,229,375,
096,724,611,328,570,055,406,209,694,467,810,472,033,340,985,525,666,360,794,
671,635,711,214,179,734,802,939,398,929,386,774,944,634,476,316,092,726,595,
009,223,107,033,551,409,882,226,935,134,774,276,606,031,245,588,386,104,303,
959,827,300,667,857,691,185,460,652,438,095,755,183,560,601,939,965,453,470,
713,178,248,272,143,463,356,053,338,024,538,574,644,655,827,254,156,988,266,
058,510,457,099,064,584,905,264,889,069,735,473,327,950,332,579,478,113,394,
332,155,842,067,299,719,012,158,557,034,936,756,854,821,936,394,483,066,445,
937,797,466,855,019,844,800,174,348,495,316,092,112,050,454,477,107,494,242,
713,548,248,070,455,778,780,085,334,016,872,626,235,646,439,232,170,424,625,
548,630,300,477,369,835,002,562,326,935,677,008,525,454,752,864,182,055,946,
838,848,217,786,192,335,868,261,073,248,588,027,376,254,690,541,257,685,405,
255,993,235,319,882,862,889,846,256,295,993,308,043,205,880,198,213,510,023,
442,173,132,293,950,867,672,535,058,756,001,805,810,593,814,668,957,075,201,
640,471,513,117,782,490,925,560,451,108,736,548,857,075,432,608,655,229,682,
890,736,072,680,454,085,314,153,521,115,353,347,996,442,628,692,691,914,501,
935,936,912,976,123,998,768,708,329,871,751,378,627,180,891,403,231,870,740,
897,765,735,767,436,891,000,277,433,342,875,148,014,496,274,585,935,746,617,
520,976,217,394,820,319,087,148,880,482,673,495,238,320,446,352,734,664,219,
189,824,429,230,751,075,009,401,119,736,473,697,233,342,978,825,098,328,702,
935,498,173,889,201,798,213,866,284,132,025,218,392,331,895,297,977,704,566,
472,810,527,781,727,856,426,484,568,780,269,455,294,753,205,332,043,041,035,
402,367,458,985,062,032,034,080,945,409,501,294,400,616,750,757,523,141,277,
438,096,800,397,644,921,685,725,885,095,703,889,324,118,497,082,972,588,045,
479,932,869,715,185,663,575,948,640,297,412,000,952,439,328,134,367,172,816,
278,673,660,538,424,452,523,629,742,183,551,237,030,455,254,105,597,231,937,
391,991,596,560,328,614,326,423,521,624,380,726,456,073,694,322,174,197,069,
422,262,695,578,351,797,119,366,052,408,265,294,587,169,109,835,392,039,360,
253,462,545,202,131,284,174,062,402,212,867,663,347,025,172,039,926,450,554,
375,891,402,856,698,161,924,244,551,573,743,753,727,608,607,928,444,326,166,
915,386,785,868,089,597,447,583,040,620,735,167,968,877,681,962,447,950,344,
287,539,099,568,606,019,264,188,663,648,684,345,403,655,649,166,787,972,172,
492,126,495,630,288,404,070,520,962,177,791,280,350,993,141,251,916,328,436,
066,212,199,962,702,280,390,845,611,089,473,721,093,278,774,972,788,710,374,
224,532,281,447,284,605,306,001,295,420,140,788,979,671,671,689,811,132,841,
262,996,303,174,442,667,542,313,652,969,162,744,238,551,356,028,858,056,123,
840,168,219,203,481,210,670,617,766,233,558,187,390,980,056,412,784,736,212,
786,077,635,388,839,973,437,452,821,536,589,954,182,380,221,850,667,966,204,
933,506,137,676,468,575,677,207,351,164,946,546,954,313,758,372,661,504,838,
686,040,560,404,991,766,822,239,792,788,411,883,825,152,679,562,711,395,198,
242,879,557,230,797,405,073,520,919,214,941,744,225,833,414,269,363,928,644,
724,838,182,243,723,882,462,686,143,914,648,818,291,609,488,058,729,363,155,
338,047,929,280,231,523,175,352,006,873,661,183,322,937,943,059,976,315,959,
804,062,487,898,563,400,863,421,999,499,152,142,971,307,437,102,020,762,070,
010,439,830,465,490,946,589,039,184,276,754,443,024,030,187,111,882,896,851,
851,395,128,193,262,740,664,622,327,335,670,893,823,607,437,167,215,246,472,
184,773,783,739,431,717,080,014,688,228,289,316,980,169,726,888,536,079,360,
474,261,264,838,128,835,607,619,289,087,075,275,262,122,083,166,792,501,926,
819,136,084,228,400,525,333,552,193,767,292,334,314,320,713,903,943,450,594,
762,756,343,840,514,089,572,773,775,278,768,729,848,906,128,109,674,626,025,
998,152,952,111,261,558,373,080,114,053,661,881,904,282,719,047,760,101,146,
617,658,574,998,975,032,409,690,464,886,173,506,130,032,598,712,134,194,206,
738,996,935,715,154,416,206,015,719,740,532,744,801,209,400,645,110,077,161,
244,120,891,288,976,377,753,405,033,178,783,794,506,808,816,034,978,721,715,
930,898,233,671,735,685,740,368,679,595,720,985,614,657,778,309,920,010,359,
509,976,854,864,337,168,068,211,913,489,918,576,019,118,988,406,955,441,864,
665,855,527,068,470,904,220,545,157,493,001,431,732,955,826,306,946,818,037,
754,979,976,219,662,603,046,425,493,111,517,491,851,379,874,096,762,667,838,
808,692,537,872,994,558,284,927,285,914,948,926,309,772,045,517,401,171,445,
590,254,200,076,015,292,164,954,915,629,985,393,461,770,253,946,186,890,408,
787,079,636,293,156,036,426,140,214,281,294,617,442,218,926,771,200,341,082,
808,977,978,424,334,720,993,045,490,246,922,979,537,015,112,219,646,539,931,
940,971,057,752,332,774,352,346,132,923,219,492,390,837,810,702,522,300,879,
059,252,190,723,694,765,290,208,261,908,134,390,978,138,505,736,526,336,278,
473,247,322,802,391,564,078,830,391,188,865,305,864,653,400,252,419,864,027,
848,288,137,508,647,883,210,349,397,235,113,848,128,192,014,908,377,370,367,
508,109,944,279,944,775,844,789,334,425,650,194,278,510,896,832,097,573,408,
767,765,805,334,164,858,494,804,611,110,870,590,149,723,499,911,694,870,126,
373,749,620,472,843,956,357,497,186,318,816,834,715,343,232,884,976,700,438,
574,122,627,166,130,744,529,797,788,276,811,368,494,681,461,244,153,191,410,
442,389,697,567,623,873,774,087,812,494,288,999,157,676,805,269,156,957,125,
435,838,049,272,340,140,055,804,456,092,967,243,686,430,429,110,450,705,279,
393,631,370,997,932,126,706,265,274,451,844,947,908,476,683,610,441,789,133,
222,464,691,427,984,461,130,371,646,068,459,505,217,507,111,350,608,407,001,
023,429,448,413,376,776,126,383,147,334,391,855,167,990,674,970,416,919,020,
032,858,403,097,071,794,239,016,148,664,034,488,550,592,647,867,294,297,398,
928,315,635,638,571,200,184,314,990,939,464,598,460,975,109,375,586,228,836,
767,137,970,881,964,718,592,186,224,366,705,127,779,085,303,378,943,870,239,
740,753,480,178,331,782,634,396,423,405,280,151,083,745,394,831,988,526,101,
133,117,348,065,017,482,242,173,430,281,404,967,535,630,492,084,005,090,233,
639,825,986,965,308,586,224,984,106,991,855,340,108,048,969,512,428,156,826,
650,226,950,853,587,954,576,909,693,204,246,632,695,652,290,835,990,969,184,
117,723,961,309,181,615,126,630,532,566,518,316,668,579,633,167,360,772,903,
873,168,069,567,687,208,916,593,267,007,543,163,820,157,394,836,979,058,755,
572,661,304,116,400,612,536,657,839,920,460,742,720,120,308,732,493,173,831,
954,934,085,287,543,797,640,648,148,180,716,314,803,212,116,540,067,638,600,
561,272,471,493,179,041,386,308,505,920,305,837,106,627,493,452,975,875,201,
926,830,988,092,223,804,634,863,175,856,440,356,022,915,258,715,702,779,716,
144,154,405,739,420,088,029,371,709,318,060,359,746,448,162,009,596,244,075,
024,260,458,251,097,010,040,039,818,228,362,737,190,980,022,198,048,915,373,
134,258,096,211,709,195,780,838,300,622,738,563,285,620,479,788,702,819,848,
203,206,836,552,870,224,860,968,220,233,596,238,581,730,914,332,756,528,099,
970,505,588,277,986,183,141,888,877,284,583,742,435,822,402,082,387,160,991,
781,946,666,701,017,511,215,797,709,488,692,618,291,189,582,970,459,646,583,
201,736,734,842,395,889,451,150,662,474,529,037,787,463,171,978,145,926,019,
361,469,143,698,686,477,299,084,272,410,066,154,105,237,317,802,944,861,651,
381,025,694,763,004,209,082,282,855,805,929,531,779,999,108,696,805,224,208,
134,011,921,757,109,651,527,507,144,019,796,743,948,733,131,325,827,996,612,
395,728,993,254,747,233,022,535,609,439,589,065,658,506,841,142,947,729,809,
402,904,608,554,045,406,957,625,359,333,338,767,180,310,836,211,596,304,993,
163,425,268,899,652,220,460,528,449,671,108,041,180,395,576,705,006,066,410,
140,686,851,296,977,492,433,376,999,611,143,245,172,076,163,724,711,287,123,
351,413,009,341,984,536,330,366,041,907,773,475,038,197,253,471,105,711,814,
472,512,869,448,275,178,291,274,117,025,682,504,999,384,015,576,789,773,068,
881,267,086,092,804,841,680,571,307,744,588,338,717,761,328,471,847,753,796,
582,251,367,772,101,462,122,989,584,668,666,014,366,428,615,702,362,534,312,
229,700,028,701,296,588,606,503,832,775,692,572,237,192,940,320,884,101,637,
472,195,996,238,798,058,446,722,643,431,041,027,130,998,680,280,553,076,819,
482,064,512,995,151,315,575,325,980,444,378,684,170,685,611,048,448,522,174,
277,173,966,815,559,379,687,367,375,690,137,398,908,753,007,328,509,367,065,
468,200,451,674,829,253,642,315,097,869,387,474,691,654,942,907,975,043,391,
372,002,364,047,521,006,914,280,467,845,124,702,017,255,304,047,640,497,188,
228,817,919,836,836,608,330,095,066,203,173,784,081,462,986,373,730,908,103,
516,286,260,851,311,511,782,332,279,265,861,466,952,711,395,800,039,847,785,
606,658,388,835,949,752,038,966,026,994,716,623,630,548,720,725,328,865,062,
669,798,786,877,356,119,094,691,783,682,467,553,924,429,398,790,481,339,675,
041,844,281,945,774,449,693,751,820,438,866,989,983,017,168,699,081,824,729,
363,915,010,867,798,125,355,320,722,780,752,230,711,016,899,405,125,008,748,
133,822,717,588,899,184,534,145,546,432,021,889,157,327,463,384,046,464,134,
257,271,279,255,371,670,360,094,703,602,422,678,773,637,150,998,121,451,807,
906,341,076,027,663,800,638,362,325,862,003,681,133,639,929,534,557,420,405,
217,503,409,073,758,199,045,931,291,442,315,085,012,916,897,898,406,802,233,
726,270,032,723,909,835,252,366,274,831,569,164,336,058,138,063,275,640,360,
934,122,154,892,685,641,994,485,566,515,806,430,536,213,157,626,243,686,216,
025,296,883,253,468,977,969,749,657,625,987,252,900,326,432,293,956,058,510,
452,305,477,235,068,405,087,477,850,806,261,862,400,032,625,712,782,057,239,
171,199,325,834,757,001,465,259,215,648,378,831,227,728,715,994,692,819,182,
063,495,510,867,866,482,699,554,720,745,026,576,803,590,050,297,824,348,628,
222,079,417,096,194,600,917,732,877,248,859,398,685,000,245,914,712,640,908,
208,148,505,979,850,421,202,225,333,789,311,399,486,483,263,275,995,991,041,
100,494,142,531,842,760,492,643,432,958,281,259,700,263,966,019,423,595,312,
828,927,068,337,281,327,446,560,995,954,837,482,334,299,435,507,839,026,074,
500,865,895,675,250,199,790,790,274,930,418,158,334,539,203,252,080,265,718,
107,581,710,893,016,072,759,331,498,052,696,306,807,488,648,853,794,193,852,
962,055,722,873,540,314,734,264,804,402,028,671,406,815,184,792,408,938,143,
129,274,652,248,394,044,143,755,050,231,471,218,187,590,508,693,818,065,861,
167,099,658,042,443,003,589,718,066,163,426,691,573,079,697,327,774,798,930,
026,189,814,894,709,717,338,131,087,527,446,791,264,657,946,766,306,343,357,
595,263,457,296,184,036,458,922,588,801,190,496,611,527,196,475,402,472,835,
407,509,131,819,780,283,023,304,084,935,141,762,919,889,755,829,842,692,822,
339,985,550,255,014,926,312,061,996,171,210,991,500,262,915,841,758,569,982,
445,604,603,567,794,927,087,400,803,696,595,216,663,188,215,536,755,983,995,
645,631,860,929,173,485,980,334,581,315,991,518,039,323,274,419,519,730,847,
057,599,805,155,275,244,244,569,098,710,376,699,676,893,883,143,841,927,571,
291,845,120,970,279,511,097,413,171,151,041,392,956,728,701,772,332,972,072,
052,489,759,531,229,548,544,130,733,108,797,341,284,908,031,418,477,102,375,
105,364,070,300,769,746,112,386,338,216,341,906,952,770,156,613,210,226,388,
076,262,201,333,350,662,688,787,360,641,711,689,675,732,991,598,586,109,413,
212,656,026,737,958,624,432,495,599,541,543,937,360,600,767,760,351,046,365,
805,688,461,115,436,232,663,271,240,427,338,581,174,701,532,159,285,156,406,
034,155,749,317,324,842,506,902,905,419,377,382,446,464,217,295,353,458,410,
130,307,395,231,554,801,261,462,574,713,871,173,685,204,146,455,321,314,895,
633,327,744,511,971,985,899,907,178,004,766,230,792,137,702,288,445,432,166,
188,514,828,521,607,610,509,732,566,783,184,608,739,368,520,856,778,155,965,
849,258,866,987,443,232,451,976,292,562,644,068,393,190,728,772,000,934,070,
732,718,457,100,293,357,762,085,785,077,282,436,718,831,886,793,305,444,178,
929,681,448,691,451,922,212,050,493,002,678,294,758,501,636,649,493,372,951,
737,412,331,914,294,534,681,890,879,112,620,088,183,367,411,489,705,182,220,
144,622,458,351,621,573,871,118,870,338,788,656,547,574,617,164,076,009,169,
501,740,491,545,193,769,208,371,648,472,421,536,205,825,225,800,034,497,558,
593,383,245,549,275,951,847,690,833,131,612,671,736,905,091,295,221,358,903,
060,979,714,987,312,185,138,537,176,234,877,066,255,873,103,725,352,923,703,
648,754,000,745,262,233,574,956,462,023,719,288,920,720,839,150,835,907,304,
225,335,383,433,329,448,751,713,758,847,080,392,936,018,376,134,299,333,677,
458,943,975,084,403,527,694,948,303,200,000,465,628,880,426,127,566,367,858,
027,192,268,648,508,938,906,625,848,992,640,259,049,483,864,992,248,000,578,
664,001,489,420,069,922,002,434,830,663,982,106,827,766,901,103,836,257,533,
995,621,710,096,256,404,013,628,842,885,438,639,514,343,344,533,495,959,283,
455,135,469,007,527,552,620,215,049,314,670,269,877,487,633,719,321,982,910,
864,933,537,715,754,600,082,362,732,588,168,619,241,914,509,464,612,667,652,
448,205,811,233,347,432,138,610,984,444,008,530,257,726,414,316,037,920,870,
521,739,330,843,208,544,778,853,431,349,668,202,706,375,294,676,143,022,550,
668,784,069,637,427,730,119,417,036,859,806,646,590,632,951,899,623,812,439,
704,367,311,691,245,680,255,145,979,528,295,734,863,919,340,159,320,240,553,
818,907,114,780,161,061,287,746,694,011,398,324,231,816,962,218,192,861,579,
014,297,056,056,542,955,427,950,954,235,268,472,344,419,438,122,927,269,919,
304,561,572,120,550,931,103,880,090,271,840,084,327,650,553,902,835,095,939,
508,627,194,159,719,367,216,940,798,916,811,668,432,146,788,768,356,477,960,
418,868,241,931,544,961,998,097,417,330,446,246,287,806,236,849,146,593,505,
771,895,173,358,758,504,900,498,405,412,816,376,325,158,239,506,668,927,781,
151,656,016,570,408,222,570,839,938,888,631,753,644,386,948,422,005,038,028,
875,146,744,667,707,950,246,659,514,655,679,565,460,438,025,540,771,947,077,
222,835,058,599,258,951,695,155,041,694,718,898,321,996,063,521,788,133,846,
252,447,080,923,146,645,587,821,566,637,884,351,506,687,237,426,674,121,943,
525,210,824,204,877,131,466,398,454,940,873,532,175,900,093,026,350,089,402,
526,553,407,345,508,771,095,275,461,854,957,264,257,770,351,233,416,225,319,
651,304,685,157,480,302,490,313,560,973,407,443,572,941,194,201,754,470,262,
747,771,684,629,705,697,804,584,137,154,597,456,952,143,367,009,163,578,052,
470,794,919,091,333,134,676,400,300,675,444,214,593,393,867,850,922,166,193,
951,063,148,226,697,967,181,747,555,959,216,637,111,337,443,624,119,834,296,
906,414,587,959,514,381,249,463,958,756,007,756,015,098,723,328,457,382,520,
592,824,049,514,007,584,294,029,519,792,045,162,401,572,443,210,257,685,219,
779,086,805,743,451,290,528,142,094,385,410,078,200,949,072,176,829,205,761,
489,673,008,768,043,059,221,324,477,541,894,212,896,645,912,755,439,947,412,
854,691,600,560,820,244,248,748,160,005,391,616,163,449,754,098,913,747,688,
030,329,063,927,712,015,745,288,346,906,143,217,704,833,445,031,571,329,344,
517,846,712,494,173,158,342,003,786,992,071,079,847,099,846,514,345,369,341,
591,674,954,522,089,059,337,403,771,187,162,833,119,641,432,416,850,269,461,
854,386,633,459,226,986,442,179,582,092,913,326,371,192,940,914,032,850,420,
502,378,004,761,014,799,738,752,178,402,189,088,941,570,201,333,028,184,992,
627,653,957,117,891,378,294,088,605,945,229,320,599,495,267,241,397,627,811,
910,063,838,367,030,334,211,863,300,856,591,583,434,990,990,275,523,912,513,
083,009,496,352,815,830,346,752,487,379,567,810,374,398,351,320,852,235,880,
975,644,452,909,550,302,365,099,134,347,400,955,495,585,297,387,782,760,073,
887,591,192,233,572,529,365,285,239,825,065,548,895,891,638,463,703,250,471,
144,269,669,883,853,663,916,060,393,598,200,244,664,541,269,987,229,889,247,
927,362,751,541,909,556,264,747,946,661,256,041,097,588,988,573,190,966,810,
220,952,787,623,096,911,488,866,220,140,276,768,483,618,525,955,107,507,960,
595,385,396,610,746,049,319,250,383,422,995,724,482,819,176,317,745,574,862,
182,361,495,253,774,758,724,995,421,340,417,202,703,603,210,706,555,221,081,
064,946,551,039,789,764,426,916,477,325,837,347,270,127,063,827,105,099,503,
935,013,134,016,885,250,006,054,494,636,405,465,593,682,428,452,910,358,971,
226,629,127,920,769,703,549,401,485,362,830,274,291,391,470,829,559,270,618,
137,570,342,336,170,342,366,495,577,035,418,557,157,099,028,352,737,412,648,
476,121,785,769,506,416,514,343,032,382,355,444,011,633,446,110,420,819,336,
040,530,493,148,672,553,658,185,127,239,659,512,008,458,969,655,747,007,411,
749,856,560,749,796,233,279,486,917,141,139,962,985,589,757,281,143,692,700,
998,972,659,536,577,346,739,199,608,321,878,851,793,625,247,966,133,607,516,
364,566,468,835,287,377,744,579,050,828,666,536,531,758,256,550,765,635,774,
743,087,351,818,018,111,874,519,476,263,497,944,993,453,574,726,485,592,722,
518,717,576,089,870,000,481,841,702,908,836,845,254,187,426,556,108,653,040,
353,497,538,923,324,263,160,126,314,726,355,532,870,748,547,835,401,264,632,
562,911,398,950,301,364,065,555,387,433,123,765,390,551,013,019,323,637,115,
211,125,168,590,716,633,833,866,852,815,765,532,821,026,946,666,731,617,787,
003,858,311,474,207,792,805,732,001,118,902,300,947,820,184,050,646,679,751,
417,060,887,038,019,811,594,147,996,369,451,512,842,628,777,417,939,403,271,
063,694,076,721,742,756,971,879,860,330,049,869,169,085,112,555,630,524,603,
195,309,162,667,137,929,310,100,710,063,096,231,692,749,627,265,214,416,703,
770,121,095,056,432,653,099,763,675,138,148,664,071,003,412,693,521,097,326,
961,916,133,547,689,928,879,021,250,692,132,374,598,480,491,256,096,610,897,
125,821,305,160,570,127,374,224,613,589,369,459,447,665,887,149,072,618,900,
739,509,164,433,918,035,239,019,818,254,241,224,974,839,249,841,179,361,784,
200,831,571,769,834,096,893,402,530,160,752,765,562,270,941,370,641,434,537,
776,624,586,417,575,128,279,459,162,109,089,458,963,052,651,004,091,473,368,
317,647,605,795,090,381,184,158,000,401,954,035,948,983,709,844,535,218,385,
723,685,198,963,718,702,522,019,314,308,740,523,646,772,043,567,646,688,637,
650,882,709,424,890,155,802,492,691,251,614,791,416,742,602,526,805,593,173,
222,745,926,329,086,952,890,309,151,190,012,312,945,695,150,875,095,010,982,
072,727,556,313,720,911,485,116,050,900,582,396,330,015,667,262,534,349,787,
832,042,059,197,753,400,600,460,917,784,925,710,779,335,523,025,211,425,387,
672,663,643,872,944,857,911,971,339,720,168,070,646,735,313,157,801,285,736,
388,497,630,799,783,929,287,605,152,307,310,295,329,940,001,777,324,139,731,
429,351,901,912,676,406,440,978,836,043,818,256,087,564,104,043,325,138,331,
814,596,665,967,303,648,732,700,892,717,267,467,278,077,924,717,048,232,166,
595,831,484,816,873,240,950,920,129,008,875,208,348,022,264,956,420,368,812,
643,407,083,682,792,879,380,348,778,704,922,158,347,113,545,936,713,295,984,
396,972,906,402,447,960,872,425,075,238,911,951,759,522,004,742,935,949,376,
725,104,131,103,137,259,359,687,791,876,745,324,464,597,162,533,321,550,959,
709,447,754,894,472,233,142,737,272,790,444,905,684,135,898,042,797,163,950,
264,742,292,259,398,720,423,802,387,981,729,194,437,057,556,901,058,786,860,
369,028,387,340,449,718,454,737,723,721,218,478,616,234,398,200,177,790,828,
688,007,860,724,421,493,604,021,416,052,843,704,455,597,878,361,330,865,311,
032,459,554,891,858,807,962,219,864,643,943,656,593,047,680,013,900,727,685,
864,971,202,526,120,203,337,294,637,860,640,216,308,834,049,191,467,020,565,
737,926,843,942,957,234,936,153,972,124,137,749,316,119,834,573,216,506,319,
146,520,450,901,796,910,597,286,351,962,634,532,460,244,649,196,564,558,721,
990,731,393,173,186,565,402,282,387,912,187,205,558,538,034,157,370,940,842,
310,423,872,576,543,925,024,759,845,712,480,778,380,028,409,641,863,553,995,
312,915,601,624,007,019,737,617,128,527,025,298,542,716,594,192,670,987,971,
212,646,573,306,183,152,820,927,248,630,988,522,271,282,549,274,295,615,229,
231,717,213,746,510,452,500,015,734,769,174,559,453,040,566,192,490,689,980,
973,678,966,231,576,885,841,691,395,238,937,257,406,691,158,494,939,834,585,
199,412,406,908,804,567,423,568,288,828,477,880,499,323,015,645,682,191,111,
472,697,738,580,355,984,805,685,690,890,271,688,151,923,850,237,118,457,908,
091,735,761,456,853,272,560,967,834,723,595,829,833,731,420,788,982,258,908,
145,095,627,640,390,831,257,336,697,924,713,167,858,051,716,916,391,644,481,
444,241,363,501,357,608,744,245,457,032,195,898,857,170,226,006,930,421,466,
896,828,895,166,099,093,540,103,322,307,077,609,211,505,664,903,314,201,098,
674,805,704,869,329,484,305,748,692,895,308,043,922,639,173,683,233,879,938,
530,315,893,301,740,287,981,818,042,638,349,860,121,152,299,544,354,835,811,
582,304,734,665,767,106,961,274,307,955,614,042,023,421,763,541,705,460,080,
328,530,178,166,411,775,281,328,131,359,060,008,160,607,282,299,482,553,069,
397,258,600,615,058,104,224,996,405,943,045,664,885,582,325,203,450,480,491,
810,950,898,134,580,754,502,277,716,641,103,252,344,506,352,026,011,945,282,
393,269,807,240,612,670,319,753,783,885,194,900,228,318,553,302,534,097,025,
197,698,045,430,110,929,036,625,064,086,319,396,324,072,742,630,526,267,372,
585,106,269,725,975,902,937,084,581,530,363,734,050,345,486,733,513,060,358,
086,353,609,332,842,049,010,436,767,118,616,369,881,312,351,342,717,483,288,
861,914,277,372,617,423,154,368,750,273,287,253,035,130,899,233,965,748,041,
485,849,673,870,912,180,645,061,747,368,705,357,446,023,346,675,758,325,472,
874,544,906,770,035,297,043,010,964,538,139,492,432,415,983,829,915,416,175,
459,297,376,926,682,233,733,962,860,739,396,919,797,226,303,419,081,187,276,
280,315,427,873,597,264,216,915,368,026,536,684,474,690,684,845,334,911,077,
556,164,684,454,914,319,440,830,104,899,804,346,358,012,416,072,859,696,211,
875,906,442,478,150,380,493,176,921,699,289,393,919,169,807,756,790,447,877,
050,281,214,505,028,195,994,338,388,266,341,757,526,580,617,798,193,630,213,
866,261,426,882,209,223,892,471,224,887,095,916,588,337,910,970,771,219,872,
582,791,181,756,481,349,103,195,129,242,311,077,380,444,661,008,923,163,770,
271,756,498,486,361,818,478,424,070,800,960,563,321,636,493,433,525,794,733,
538,737,407,438,393,088,441,103,462,856,717,253,096,102,995,313,003,296,563,
713,318,452,968,254,757,486,571,116,438,264,419,836,206,237,419,896,689,179,
156,642,407,762,123,679,135,322,462,410,669,438,482,743,809,004,978,094,963,
899,062,588,497,478,810,782,855,653,005,397,357,255,382,936,167,240,069,003,
399,696,524,493,113,681,529,008,175,544,456,775,283,913,836,840,096,225,616,
373,101,996,488,522,526,857,282,178,310,649,007,622,793,453,306,230,306,250,
034,932,918,729,134,051,012,102,479,091,565,929,698,620,734,575,077,609,718,
473,960,802,312,986,645,688,255,231,561,082,815,367,595,211,433,114,064,517,
350,324,098,380,073,549,010,795,439,940,746,650,938,420,733,349,222,958,384,
177,494,092,121,392,725,182,614,192,205,886,981,951,315,271,780,719,896,330,
636,451,865,123,494,771,458,090,095,792,240,590,156,266,845,730,389,721,025,
078,741,309,774,073,734,058,816,973,253,780,701,952,410,474,156,276,397,553,
858,295,216,039,834,156,696,818,362,803,673,962,014,135,020,334,106,699,879,
177,697,878,940,311,344,368,322,241,181,129,068,581,972,795,260,856,756,604,
165,881,012,101,367,112,737,111,779,019,397,547,252,618,588,254,269,753,487,
931,373,968,831,678,911,413,418,459,138,412,503,609,508,095,091,216,525,146,
554,683,869,971,945,273,921,538,664,500,959,621,495,310,695,663,904,553,647,
610,613,845,068,581,473,713,865,543,781,420,459,022,677,724,949,460,651,306,
461,744,647,365,572,716,400,250,240,701,467,770,542,089,286,815,003,173,398,
793,890,368,179,545,289,489,165,797,904,634,133,311,327,447,484,155,236,828,
373,012,535,671,510,752,508,594,847,564,513,389,055,027,275,304,992,032,840,
957,079,766,077,756,176,435,879,853,820,243,112,811,151,468,546,582,372,236,
117,180,837,096,272,804,421,695,171,467,420,178,938,920,580,186,940,608,829,
550,050,152,812,796,510,399,001,803,455,145,525,982,042,544,603,828,389,632,
511,963,703,376,932,142,295,573,265,312,519,554,581,723,079,580,490,895,857,
703,572,004,596,525,291,477,619,548,585,214,296,954,530,172,038,347,640,180,
125,138,135,019,580,037,757,732,049,440,363,129,311,265,453,936,771,360,490,
370,155,727,964,467,809,466,668,719,089,672,520,731,061,826,844,004,597,135,
197,695,465,366,405,065,681,852,018,822,847,882,650,319,764,611,099,444,537,
702,728,621,473,790,949,146,995,521,905,690,587,042,207,248,524,720,932,810,
369,280,827,410,659,235,515,858,309,234,392,958,444,375,650,081,112,575,906,
519,670,594,816,222,628,717,062,692,969,599,517,847,456,814,241,215,664,566,
953,539,658,492,082,134,242,931,224,888,607,283,816,518,877,476,750,664,929,
897,449,154,627,384,944,955,281,098,901,020,770,171,042,579,037,886,861,576,
945,654,880,588,421,401,790,595,195,950,468,764,434,607,130,081,651,365,660,
514,186,565,573,440,122,790,516,941,602,510,110,931,632,737,356,091,406,240,
147,349,873,291,312,591,511,309,800,599,334,386,522,634,402,515,195,658,691,
723,124,173,105,949,815,715,686,111,615,831,361,253,157,392,428,833,119,328,
847,659,206,779,233,021,894,360,456,084,854,840,171,169,119,067,005,569,905,
207,697,945,475,177,588,411,437,057,531,048,624,369,817,628,048,377,073,430,
718,264,989,920,640,390,348,596,308,660,883,464,708,895,769,895,419,246,695,
052,526,459,258,170,443,683,352,237,732,060,892,632,612,621,047,687,582,104,
822,594,307,846,302,802,952,662,481,814,562,027,977,185,089,595,663,617,695,
886,030,184,066,289,571,956,885,118,255,269,506,549,679,797,610,528,512,819,
550,068,785,128,534,089,538,815,577,785,826,064,002,877,727,980,396,724,792,
096,264,272,027,600,782,156,095,507,934,605,946,386,945,815,857,634,473,966,
758,931,209,046,288,316,111,450,330,731,311,413,727,728,457,212,359,748,772,
102,683,520,208,631,559,401,173,269,741,241,676,452,627,448,145,561,274,829,
767,901,132,239,092,514,466,599,856,367,349,051,652,918,777,549,919,767,859,
427,365,356,935,728,845,752,021,814,141,653,823,780,382,286,038,171,413,817,
097,557,404,085,363,430,261,666,394,913,187,808,094,641,042,989,728,838,327,
276,756,374,330,149,913,009,499,307,544,000,386,696,250,826,710,071,768,463,
948,626,793,888,896,487,466,523,527,948,808,498,793,184,777,686,336,427,622,
431,870,806,039,601,640,482,999,473,104,386,856,963,849,328,257,890,065,646,
261,309,954,399,872,013,474,151,194,351,556,122,855,809,440,240,209,957,805,
421,540,944,237,828,228,937,403,001,722,407,307,891,504,862,180,228,526,923,
241,342,048,329,292,733,377,731,812,388,669,230,624,607,009,863,395,273,163,
241,838,829,631,229,679,406,813,371,753,853,049,150,991,497,541,601,462,249,
957,096,346,370,840,638,216,255,051,423,074,839,345,839,871,187,703,722,468,
236,384,226,409,350,254,152,831,166,215,923,404,281,489,202,001,920,834,290,
147,335,527,820,657,074,615,025,862,115,253,412,041,270,367,322,806,537,929,
535,418,636,362,601,898,771,987,640,617,668,873,243,417,602,308,827,072,023,
386,149,712,469,942,119,628,953,817,789,076,198,842,644,674,719,904,387,380,
759,476,769,130,775,037,445,151,865,496,173,540,132,931,927,926,017,466,440,
967,543,647,699,525,173,277,858,475,680,350,801,870,911,012,080,699,772,733,
017,439,275,377,365,774,113,642,429,094,952,626,472,550,424,590,611,078,841,
539,957,317,852,908,452,623,417,733,691,400,305,027,044,642,619,322,937,423,
531,445,837,214,182,162,328,317,905,817,925,739,199,992,490,481,437,211,114,
236,561,884,533,722,921,091,833,002,913,881,251,625,930,699,182,751,905,821,
297,415,733,820,357,348,184,899,819,281,523,636,111,362,930,546,348,842,185,
537,403,781,974,920,814,921,779,084,418,215,283,370,781,810,102,703,452,524,
884,559,455,486,385,370,402,339,406,976,131,849,376,961,822,136,145,775,080,
536,887,720,074,922,848,851,122,726,389,229,021,891,753,516,146,818,047,528,
731,149,467,155,774,762,716,984,207,229,498,403,161,917,637,434,832,673,729,
879,778,765,993,100,473,691,495,459,402,737,949,185,108,000,570,560,111,056,
565,290,685,520,438,060,668,012,432,706,693,293,038,313,435,182,458,960,495,
454,021,172,640,466,707,468,132,875,459,437,585,353,862,054,182,480,315,891,
010,512,474,965,264,739,248,033,743,183,075,093,736,226,028,433,098,175,867,
794,005,891,737,824,190,342,175,582,086,219,035,537,470,256,828,372,167,701,
836,554,943,208,317,306,232,817,742,577,626,788,826,194,686,537,174,856,387,
136,104,253,526,559,698,048,652,671,516,114,970,294,566,645,844,718,855,329,
734,493,511,213,966,923,942,736,064,820,586,674,212,150,493,733,877,323,131,
416,708,802,867,892,759,912,242,622,671,369,175,813,570,965,856,642,023,928,
825,226,018,619,868,494,781,083,244,855,023,890,236,370,530,617,094,602,815,
811,100,243,078,325,000,862,430,112,345,510,949,755,422,975,531,731,392,905,
274,910,802,500,057,618,294,487,078,732,570,951,904,926,177,330,199,211,280,
907,111,452,390,007,576,288,390,156,844,550,381,452,041,748,084,059,348,815,
892,048,975,537,924,218,335,882,837,129,479,142,961,048,794,543,678,496,562,
621,568,730,319,637,072,034,308,546,978,324,043,575,340,709,496,025,733,079,
435,755,768,083,461,416,345,377,583,942,457,062,911,148,119,657,065,938,389,
802,461,697,491,904,152,246,901,524,621,926,640,597,504,133,826,168,184,767,
082,208,801,135,442,507,955,871,692,817,614,974,650,106,296,324,557,783,271,
821,780,435,925,176,850,451,910,393,902,803,869,836,605,125,697,855,095,856,
764,120,829,026,308,715,810,722,447,099,419,945,840,020,710,350,262,240,347,
631,778,910,660,934,463,543,865,152,859,268,249,524,400,459,623,407,049,944,
085,442,498,444,042,787,405,986,408,711,234,820,977,899,663,314,587,086,348,
656,332,029,251,485,556,374,767,610,387,540,619,883,063,410,514,829,167,119,
424,616,544,019,236,631,587,374,781,391,918,255,880,661,329,854,634,666,528,
106,877,093,251,477,967,215,668,477,440,301,611,295,362,183,184,805,318,331,
090,913,805,026,502,734,373,954,194,017,943,305,312,058,392,009,276,010,990,
207,410,233,005,225,763,166,310,152,290,985,900,347,974,451,997,255,065,587,
304,110,396,570,613,229,607,041,705,224,429,953,081,171,622,465,835,100,608,
060,069,059,540,082,879,195,959,447,787,964,385,940,420,449,435,373,138,926,
129,837,283,627,055,739,004,570,556,716,732,873,088,956,318,183,617,162,784,
936,644,321,315,163,184,234,006,101,110,545,745,066,873,292,703,426,950,840,
985,064,494,559,990,214,389,422,487,489,319,130,698,671,241,757,696,951,713,
060,575,883,685,030,336,049,307,016,522,639,560,158,946,438,381,596,342,153,
586,093,247,722,711,790,533,416,134,563,704,157,556,157,564,340,343,384,534,
611,073,585,280,164,384,455,877,243,039,925,486,829,706,043,593,671,665,288,
842,991,400,630,623,712,846,018,573,400,904,923,468,357,030,411,207,546,610,
350,953,038,274,663,686,912,188,046,932,966,380,200,252,283,538,739,024,088,
026,530,026,451,769,076,872,953,345,938,466,611,930,780,251,099,929,332,680,
706,126,938,556,214,896,553,034,889,355,406,032,398,114,662,623,354,420,593,
285,961,960,973,427,634,961,490,788,297,920,068,143,545,254,446,854,017,506,
188,556,905,120,711,104,164,020,869,760,254,519,060,790,100,362,194,510,441,
912,674,983,689,137,357,090,421,735,211,951,343,777,638,216,628,985,967,529,
790,015,370,216,991,689,664,075,234,663,100,681,227,829,347,598,385,332,217,
801,216,455,057,313,689,198,150,191,620,619,145,015,204,466,455,349,791,140,
809,094,408,048,795,009,906,821,448,597,889,442,199,021,762,740,186,746,951,
073,544,957,598,265,109,901,960,851,359,712,171,712,569,596,074,010,810,119,
360,644,866,944,804,587,259,421,093,209,246,110,976,221,117,557,904,446,989,
460,190,274,133,590,628,715,736,235,297,844,430,596,399,556,747,260,500,208,
259,120,225,871,892,619,840,253,204,186,124,943,255,592,543,866,301,968,843,
429,832,835,393,683,724,096,445,409,885,161,114,598,208,713,959,776,075,727,
191,462,295,269,528,688,563,765,349,922,730,682,029,859,248,720,008,187,789,
253,422,985,293,841,993,295,011,682,470,059,979,892,079,843,932,559,293,799,
109,950,500,658,503,892,776,386,374,340,863,425,997,509,828,731,461,001,463,
845,540,857,817,837,112,757,451,064,255,841,810,847,399,522,696,963,476,807,
540,857,960,311,861,935,186,305,253,422,776,934,058,820,632,934,609,571,698,
910,918,527,351,843,856,501,537,471,139,757,384,876,814,232,575,170,954,280,
054,043,612,628,902,452,114,163,673,167,327,993,955,043,770,708,348,793,389,
604,044,131,600,283,954,822,552,103,772,955,976,451,769,063,201,614,537,290,
042,894,024,688,615,462,888,338,833,817,528,736,262,441,177,780,935,284,125,
351,228,355,158,075,237,093,270,760,996,595,341,209,910,563,377,531,261,861,
023,713,729,083,454,233,251,997,159,136,580,807,834,832,593,165,455,311,099,
775,222,910,300,953,821,142,966,987,547,386,161,504,850,396,834,849,227,901,
974,195,826,984,749,090,788,187,730,316,237,000,490,162,313,141,650,667,266,
081,880,582,402,179,799,003,050,356,136,570,274,919,785,691,137,773,519,877,
110,873,223,686,135,799,122,211,826,695,291,959,897,091,549,389,868,089,056,
994,427,269,267,697,290,701,759,340,326,119,716,584,957,084,496,082,629,187,
371,003,998,769,892,730,368,869,191,457,254,205,295,604,923,724,290,096,239,
730,550,721,983,278,174,369,540,498,715,022,857,452,692,958,833,325,983,178,
180,461,254,942,756,502,070,041,167,213,068,214,460,124,409,927,197,666,602,
345,818,541,599,540,088,259,446,419,894,175,196,734,034,224,163,498,145,092,
800,883,517,227,788,717,761,978,281,047,322,267,555,529,024,449,536,691,173,
036,745,008,739,014,607,655,448,217,675,797,412,999,780,301,392,779,994,030,
880,511,051,777,556,888,807,648,023,126,377,355,076,628,339,182,951,941,230,
758,506,073,051,567,514,807,705,955,165,799,479,890,285,272,622,506,877,580,
483,572,023,666,294,294,129,253,815,823,973,945,642,602,437,611,686,521,899,
011,278,269,128,913,122,831,885,794,906,381,505,532,854,609,044,609,038,106,
359,712,370,745,353,590,630,262,341,526,637,805,619,798,077,880,587,557,004,
075,739,839,290,929,521,831,579,623,877,965,521,380,265,025,841,767,488,216,
755,277,823,667,734,277,440,720,087,177,956,808,385,270,663,883,129,231,724,
847,903,304,056,447,951,680,573,546,860,139,014,037,108,669,246,398,481,328,
875,337,118,295,589,964,276,313,988,490,759,919,043,579,270,781,346,791,677,
764,594,700,225,256,048,589,571,019,147,912,009,230,690,505,617,112,468,765,
311,312,316,986,367,769,737,572,307,429,032,064,617,266,970,516,612,718,058,
661,492,152,691,832,478,561,888,651,599,061,942,553,979,637,588,055,018,827,
396,654,076,809,142,895,330,349,364,309,165,583,639,306,217,078,083,955,291,
225,999,604,036,982,721,527,971,859,199,741,106,732,560,251,059,502,789,867,
099,271,287,360,464,109,939,576,021,507,700,756,884,494,978,672,218,618,979,
123,466,842,140,174,426,439,781,332,829,202,773,561,397,713,073,564,508,239,
142,580,951,769,464,757,335,404,095,691,284,215,605,481,223,487,990,305,536,
283,761,861,882,849,524,082,541,856,291,129,640,716,791,098,313,192,751,545,
264,578,979,461,188,618,942,810,412,410,757,132,654,886,733,767,265,500,701,
657,822,232,469,596,436,145,763,305,335,027,186,562,957,718,420,013,487,002,
413,377,365,399,448,769,625,109,574,196,509,902,243,702,104,959,683,672,756,
423,831,946,943,040,949,685,832,193,069,186,158,141,976,423,985,024,264,074,
301,997,765,238,320,881,817,843,141,987,241,476,549,598,649,083,413,394,462,
339,321,023,833,319,331,471,925,184,120,990,771,200,678,812,344,651,611,167,
311,752,049,321,459,395,300,444,034,903,391,076,692,300,382,732,728,722,335,
968,545,357,285,464,259,701,702,232,715,949,967,975,514,484,168,163,545,239,
785,516,353,325,599,110,488,889,558,276,901,439,738,733,571,692,770,492,091,
763,554,990,895,169,105,217,652,704,088,745,090,429,923,399,488,480,997,319,
743,734,379,191,330,544,414,447,184,397,752,658,297,542,775,244,804,872,898,
009,365,556,952,008,839,511,567,446,692,668,575,136,660,686,695,962,000,498,
331,975,637,089,971,917,040,846,478,097,667,948,579,014,142,333,207,576,802,
947,065,354,859,146,290,289,634,893,392,572,952,270,526,669,468,872,869,660,
052,123,353,838,515,267,382,670,392,531,144,392,641,398,162,732,903,544,511,
446,963,279,201,511,320,547,890,683,346,290,993,691,316,621,697,572,296,441,
073,972,177,937,434,673,947,495,675,042,670,261,582,920,978,941,213,693,697,
545,441,737,461,829,962,313,489,593,265,561,209,398,601,782,583,648,727,654,
365,915,145,577,316,338,835,393,148,605,405,568,475,818,700,883,999,832,141,
954,509,257,051,660,806,947,850,111,405,638,114,428,759,918,820,518,332,974,
663,206,964,153,139,523,753,806,815,923,887,909,353,405,159,806,524,049,092,
855,650,375,440,875,250,218,462,200,538,219,703,543,530,833,934,956,084,326,
427,275,752,111,445,630,433,256,010,692,154,463,519,659,046,840,553,913,222,
441,028,372,563,162,463,435,262,034,562,136,448,383,743,064,300,115,298,955,
975,183,911,920,526,282,863,087,701,743,174,349,919,368,101,219,068,683,687,
627,590,285,150,659,460,629,645,099,438,392,879,330,911,656,868,394,981,210,
322,305,082,343,496,629,935,547,947,151,085,370,612,260,637,822,022,658,082,
812,079,383,897,090,647,685,161,764,390,720,661,246,585,798,924,971,426,131,
948,002,339,137,995,538,815,927,421,607,466,261,992,914,561,698,830,110,421,
306,343,849,448,222,797,754,085,163,025,726,221,038,918,305,324,289,277,261,
422,775,262,581,703,478,146,556,947,087,689,537,615,226,208,729,411,485,727,
677,596,476,266,137,647,542,548,530,258,563,308,187,396,454,895,893,224,140,
248,849,009,700,347,334,765,939,103,194,582,906,291,142,496,101,963,121,232,
734,789,223,032,791,920,522,498,726,966,201,287,133,740,712,877,577,252,924,
775,237,950,875,416,600,200,618,694,645,240,393,710,609,790,587,406,073,082,
229,372,405,883,697,462,712,342,272,388,273,597,192,807,934,127,827,087,098,
713,393,680,460,122,245,958,877,467,900,438,479,150,612,671,985,498,205,723,
293,637,114,982,668,917,613,382,394,052,597,114,231,007,143,494,600,772,804,
226,437,417,970,998,576,358,425,477,556,752,408,708,412,317,379,566,014,867,
572,693,151,127,364,197,517,325,259,126,316,978,968,985,448,064,847,377,506,
677,856,724,260,900,491,992,862,306,715,343,400,091,274,665,533,176,595,245,
981,220,655,601,854,262,853,954,086,071,662,888,089,374,290,368,649,396,380,
522,863,760,442,584,262,684,959,047,422,659,111,560,010,356,126,327,646,477,
486,306,716,896,782,123,080,923,239,758,807,597,872,633,817,705,180,310,451,
287,495,534,609,023,437,275,448,321,556,954,024,710,792,380,758,029,750,271,
290,762,925,774,944,862,505,593,150,763,993,380,963,181,434,115,428,320,634,
972,986,554,420,773,510,109,667,023,964,729,176,981,433,888,011,788,843,579,
212,848,089,039,394,974,889,634,945,863,679,694,191,432,421,899,961,350,466,
452,991,756,554,788,991,753,460,440,436,072,532,790,252,015,269,647,570,571,
704,472,492,190,201,517,773,080,371,789,312,986,229,430,915,950,181,151,778,
989,721,512,461,608,030,370,938,198,631,361,101,962,749,261,780,819,698,665,
123,150,268,695,438,430,814,757,355,681,576,845,760,731,838,510,818,395,025,
121,754,725,134,350,070,382,512,774,664,316,589,576,105,258,137,807,672,120,
655,145,106,649,900,356,458,905,547,208,940,172,674,745,081,925,402,099,236,
744,468,075,256,444,584,679,705,992,627,813,901,053,698,226,828,160,465,979,
320,539,549,965,839,401,929,658,081,380,733,902,993,822,139,454,360,013,237,
860,656,827,799,200,220,737,164,036,278,893,185,667,151,349,818,625,014,911,
055,169,769,919,390,049,203,634,548,691,055,407,566,455,182,801,482,667,224,
357,429,744,120,247,194,430,623,553,265,288,953,055,778,542,334,763,236,167,
289,433,392,010,293,992,619,550,869,267,205,230,628,490,490,986,418,845,060,
568,129,737,319,764,241,127,231,073,197,797,361,708,968,722,239,798,498,563,
750,714,306,217,605,581,704,366,898,826,789,288,408,909,604,130,142,625,652,
274,197,333,521,374,625,022,187,732,073,167,991,340,764,968,478,039,385,177,
775,415,117,144,235,226,128,640,416,380,332,902,931,062,166,323,424,478,202,
150,488,343,628,593,999,869,765,775,746,615,528,911,384,633,902,462,384,744,
049,123,949,511,966,249,405,205,383,285,382,623,208,049,880,910,324,024,688,
786,091,938,682,761,913,315,751,302,209,534,365,784,394,324,128,064,229,161,
866,924,436,456,048,940,630,532,916,084,311,476,565,854,966,558,111,241,581,
368,120,632,934,785,150,178,884,625,839,680,814,375,319,496,969,507,304,239,
020,573,643,298,455,240,099,291,588,257,660,694,819,563,485,479,035,898,451,
876,269,020,591,153,932,675,451,207,943,680,886,686,070,988,736,469,559,259,
101,980,549,905,076,031,330,794,874,197,976,431,081,684,848,157,864,720,812,
271,885,002,732,640,433,349,732,993,735,773,869,638,697,680,861,752,569,933,
100,088,556,570,690,351,273,132,112,884,405,910,447,794,198,178,944,164,929,
182,518,141,357,322,462,257,311,340,731,701,309,629,484,160,229,609,249,096,
422,584,956,607,695,651,271,331,951,758,626,661,458,900,711,350,483,709,997,
048,336,419,362,531,278,226,181,856,355,582,958,416,840,150,784,982,106,682,
316,795,752,228,017,050,467,419,906,922,340,911,350,462,427,222,397,367,320,
617,580,087,253,080,376,781,773,220,362,784,778,775,367,326,531,190,150,350,
960,856,939,822,979,615,045,060,979,086,392,676,444,244,714,419,749,513,073,
549,407,807,884,071,601,773,877,329,379,028,671,584,403,165,773,034,416,712,
153,595,140,802,721,779,528,791,678,717,166,974,030,063,877,419,848,312,147,
499,022,051,052,276,479,322,572,269,078,477,987,181,499,845,225,611,541,818,
916,455,610,424,960,016,270,736,379,384,229,594,759,204,631,144,823,904,835,
210,825,899,955,348,446,087,676,494,115,533,512,064,077,547,306,898,868,515,
299,087,061,194,271,799,178,833,180,223,842,649,928,431,514,098,651,687,913,
881,568,129,736,065,164,258,572,298,085,727,311,518,420,921,804,395,589,221,
256,438,059,531,381,289,287,745,481,628,486,194,911,225,474,772,142,791,090,
835,940,267,981,463,117,039,220,182,023,773,092,315,528,726,588,047,233,992,
668,002,179,829,913,425,154,940,713,740,256,884,807,585,292,953,715,074,230,
625,606,935,556,455,337,481,077,113,245,398,464,643,488,005,125,002,252,631,
666,332,911,480,824,039,555,646,117,217,807,587,659,174,586,179,182,733,727,
033,821,563,077,436,196,703,855,611,671,884,450,231,126,136,965,160,952,568,
421,813,090,794,003,366,754,795,237,926,013,600,627,019,450,749,786,351,574,
380,741,639,797,327,615,333,166,461,758,699,641,829,135,281,983,286,510,116,
050,010,685,834,697,739,714,744,619,725,861,613,441,904,249,680,804,526,500,
367,287,996,067,045,799,607,210,619,070,557,713,565,971,507,629,478,379,032,
640,307,759,224,540,479,173,068,495,757,954,145,177,601,249,115,800,508,541,
802,505,252,574,067,430,391,323,483,068,583,840,823,294,267,415,528,067,760,
954,454,807,828,989,920,933,672,825,289,024,189,342,286,709,780,324,441,857,
883,711,883,160,865,150,067,978,395,102,117,996,462,697,396,933,248,763,855,
577,625,836,561,597,666,833,859,033,172,512,505,230,261,583,988,119,937,535,
685,874,811,637,263,298,778,187,971,237,531,672,397,144,027,706,844,225,553,
852,010,792,674,329,862,011,474,267,257,539,537,657,039,258,855,907,411,066,
142,669,600,971,363,045,539,758,359,418,352,058,492,848,338,217,840,083,098,
870,249,098,369,820,834,227,283,669,725,930,214,143,458,542,497,849,790,764,
888,548,867,030,032,526,800,034,817,026,075,173,689,809,844,873,300,859,965,
171,160,280,995,881,899,220,115,560,676,328,132,926,698,887,825,671,062,098,
729,033,605,343,055,758,069,117,096,170,479,732,151,980,872,162,430,734,788,
723,295,204,225,401,020,301,492,014,903,721,780,945,809,486,857,021,358,245,
766,180,145,362,031,092,075,052,741,032,162,406,275,706,355,962,664,383,645,
494,540,897,632,784,924,190,400,232,755,676,768,460,198,551,145,075,581,988,
384,071,213,732,680,398,544,019,646,830,809,899,040,883,593,538,064,897,666,
371,345,057,067,474,193,243,639,096,295,290,596,003,784,879,075,921,022,781,
513,974,932,137,003,970,788,838,599,849,137,654,306,590,224,435,028,944,074,
231,974,341,994,908,842,076,645,374,127,432,525,482,358,865,753,895,719,999,
169,956,361,251,563,428,479,257,954,361,756,984,448,290,855,120,772,726,595,
154,715,211,934,215,615,826,433,799,243,422,832,824,909,816,902,364,776,877,
263,836,209,111,059,306,750,458,212,109,826,800,943,698,505,860,307,972,982,
337,693,788,299,102,773,452,881,130,287,137,150,837,499,169,900,277,346,188,
418,654,195,295,141,589,415,980,258,566,125,975,384,165,429,059,206,906,073,
855,598,192,505,719,119,908,213,488,987,155,672,183,841,650,508,999,183,943,
663,010,441,942,052,572,007,789,069,769,742,434,206,517,702,233,998,463,272,
276,324,498,312,956,344,834,444,971,208,680,920,694,972,225,527,405,102,381,
746,121,984,822,988,149,340,791,627,285,383,763,218,175,049,115,086,266,675,
599,640,765,724,619,682,685,804,516,153,929,089,780,390,782,023,122,536,334,
730,306,772,653,387,940,607,797,396,335,726,234,441,538,852,600,202,867,348,
741,269,728,926,955,438,865,507,005,629,406,058,817,568,955,939,504,558,503,
046,077,223,989,579,283,114,403,254,760,743,181,817,945,815,475,152,182,891,
473,429,142,489,352,779,252,075,275,427,343,582,241,792,666,511,130,790,073,
658,502,564,555,452,096,586,613,678,919,181,558,490,432,702,366,958,546,844,
853,659,578,875,139,203,078,143,819,743,542,665,616,288,206,787,845,970,523,
890,025,974,092,232,325,336,856,120,904,604,710,183,718,062,509,276,984,111,
284,798,247,538,797,155,218,353,666,654,276,929,166,203,588,606,154,842,961,
421,475,219,919,339,357,623,323,822,362,937,447,147,169,801,372,266,345,662,
747,503,805,162,389,889,866,742,775,031,022,158,959,140,651,901,054,599,620,
873,524,786,062,081,237,796,614,375,162,771,788,172,843,783,819,986,182,821,
565,371,448,124,319,261,599,324,116,654,611,414,183,812,129,250,294,519,454,
010,554,996,140,917,905,972,276,106,004,304,625,026,415,714,627,991,342,859,
074,310,961,125,933,970,277,348,054,321,617,301,136,296,187,614,846,568,142,
711,651,204,639,844,106,278,415,231,686,481,794,390,077,709,644,101,477,684,
856,288,843,890,280,188,363,937,839,640,371,471,698,972,228,096,496,239,732,
344,032,461,425,086,328,999,600,146,325,784,124,131,097,406,303,446,559,291,
957,019,225,888,560,298,898,196,793,510,077,782,142,326,417,474,419,469,382,
927,810,217,885,268,729,399,895,029,765,972,066,388,506,141,563,446,234,940,
155,003,650,258,782,862,395,470,302,391,956,693,926,249,393,090,145,625,065,
661,533,493,661,837,993,796,420,467,764,272,127,592,362,591,190,449,952,743,
021,029,196,549,360,778,669,757,465,789,866,571,815,982,276,552,330,742,918,
284,800,502,770,315,261,324,476,152,207,161,285,252,965,008,436,719,118,148,
287,580,444,253,279,435,044,332,565,399,036,893,688,276,990,182,786,697,212,
926,912,906,052,365,216,844,630,020,535,624,473,151,543,802,792,112,730,252,
920,377,617,350,751,937,809,135,406,215,227,940,369,364,859,883,382,767,962,
218,586,905,430,685,265,172,306,498,323,700,343,146,869,327,524,028,333,935,
810,817,484,368,987,573,636,991,447,132,855,654,408,306,264,804,645,083,174,
167,388,732,235,636,293,618,592,108,269,501,336,862,953,385,002,341,065,952,
520,864,057,543,489,320,135,239,623,694,204,966,949,431,530,319,582,526,031,
915,299,736,967,371,670,308,602,057,713,965,792,609,079,112,551,451,752,018,
548,127,577,894,400,063,922,330,687,063,452,127,542,603,368,746,897,681,592,
646,260,394,836,008,326,892,275,237,373,239,332,944,227,516,188,969,247,389,
712,935,431,902,143,642,647,395,685,986,524,853,144,818,749,518,628,405,470,
115,177,119,558,391,292,753,755,960,068,832,033,898,555,524,738,690,844,990,
023,741,464,350,463,909,559,654,453,772,947,904,521,543,361,187,236,806,890,
592,981,710,901,846,126,375,349,294,851,723,782,462,260,033,438,462,656,586,
185,696,071,997,107,797,080,222,291,177,087,009,601,617,056,644,161,694,694,
934,785,885,359,720,781,429,520,217,514,377,581,982,907,004,708,196,743,243,
986,313,751,150,746,686,536,874,163,583,059,211,161,495,894,385,634,393,878,
912,014,864,120,425,766,863,847,763,629,888,782,222,212,664,654,663,091,779,
191,867,971,951,368,949,448,821,177,503,377,582,159,368,209,580,747,909,667,
900,964,554,004,614,436,076,880,741,983,036,905,066,035,350,713,551,359,118,
913,281,603,566,984,976,028,919,093,331,515,299,956,149,128,495,992,552,370,
558,761,709,918,890,444,993,624,998,604,122,717,556,640,573,872,266,207,532,
515,416,465,684,304,105,042,168,629,005,729,638,344,205,764,937,140,899,036,
813,271,083,416,044,470,311,787,933,973,901,981,631,249,417,555,620,874,353,
743,213,806,468,059,111,733,074,043,156,090,675,031,859,157,590,258,700,652,
951,328,695,682,647,982,637,491,019,469,002,515,401,108,224,891,126,840,438,
265,424,836,206,358,991,278,995,520,080,241,172,554,234,052,471,335,431,199,
837,407,739,415,734,083,583,485,547,421,812,382,004,943,605,673,845,341,770,
076,974,951,906,522,374,914,340,066,117,889,865,711,743,701,034,838,809,916,
455,059,878,674,721,622,479,675,737,409,868,978,043,437,431,680,132,708,423,
359,139,422,015,253,739,090,092,103,872,927,801,844,416,656,499,795,942,783,
659,300,375,522,425,840,294,705,195,391,728,515,341,367,179,206,421,231,962,
056,829,332,891,954,946,141,975,113,993,973,519,224,260,873,172,770,652,306,
899,500,461,895,863,953,961,661,308,261,146,032,138,042,692,728,815,654,327,
136,233,522,349,080,702,846,187,981,760,516,473,285,494,061,115,691,391,583,
847,436,622,411,273,682,051,651,794,676,252,338,165,819,017,362,712,904,976,
696,542,742,052,697,384,439,013,190,042,087,203,270,884,966,305,716,325,801,
115,174,739,421,833,381,093,721,580,154,176,978,427,573,918,626,088,758,820,
594,714,047,253,657,662,252,962,225,642,373,497,758,507,508,888,418,685,796,
640,243,285,882,046,702,092,500,989,577,492,411,921,710,052,319,676,963,084,
874,139,467,045,643,941,558,822,273,994,227,544,438,210,251,545,305,617,394,
141,903,627,828,329,613,530,643,653,772,892,358,830,935,060,014,260,217,895,
494,196,766,057,935,170,734,855,857,897,062,500,930,879,287,302,449,565,444,
410,643,098,485,727,122,708,716,904,044,846,474,059,325,346,895,025,926,226,
337,972,010,579,811,030,731,027,702,865,526,616,689,684,155,470,913,730,659,
295,787,216,165,893,726,882,089,739,522,983,461,023,429,931,512,961,966,396,
483,056,844,421,622,931,466,895,942,026,404,825,982,831,709,413,601,541,884,
445,642,724,039,927,118,354,170,797,517,032,130,553,197,522,888,165,667,053,
083,013,702,498,652,170,293,884,814,447,384,404,899,432,365,327,970,429,993,
570,470,514,758,657,793,421,447,346,744,493,850,266,155,511,654,274,637,399,
569,653,332,317,511,374,803,941,782,686,340,103,753,483,811,108,205,226,039,
369,139,848,951,053,664,258,667,764,903,906,983,653,492,794,277,286,049,545,
807,113,542,920,651,773,150,134,115,601,012,122,385,440,472,472,364,538,402,
900,711,808,960,402,117,566,334,537,384,091,794,382,227,952,566,441,996,778,
806,280,077,448,579,128,146,837,448,707,829,247,579,386,577,458,546,297,927,
194,562,997,853,572,899,417,178,099,207,381,053,991,144,428,281,851,823,073,
180,953,574,584,299,415,790,831,461,991,304,999,489,670,588,388,300,684,614,
968,670,952,569,804,861,696,072,530,714,469,004,228,528,499,139,974,578,787,
036,325,431,731,126,263,660,494,312,224,338,551,985,568,399,183,408,271,854,
658,494,012,985,697,875,659,238,153,603,304,206,933,516,036,937,518,209,414,
926,775,386,105,932,590,524,650,651,133,051,422,411,454,747,735,528,599,017,
051,391,727,278,788,236,331,218,310,572,245,015,608,934,200,800,719,939,436,
117,727,909,895,232,711,342,763,070,389,834,203,849,198,148,288,851,112,400,
915,955,398,926,328,710,019,003,239,298,043,999,387,624,209,256,677,455,826,
432,723,398,935,002,809,696,643,450,326,281,632,981,548,346,645,893,002,686,
312,444,513,189,894,459,114,029,339,937,278,485,044,014,733,637,724,612,146,
202,112,288,451,803,470,363,279,824,167,215,803,707,343,221,456,289,316,500,
541,877,901,835,193,640,353,489,466,998,626,373,128,446,980,089,895,827,220,
352,305,785,686,489,359,243,452,605,888,392,510,980,048,552,291,379,670,536,
514,996,803,470,430,371,515,291,045,569,735,900,357,107,415,009,908,355,658,
096,950,975,789,902,342,050,120,148,083,394,421,716,771,052,282,031,579,574,
577,758,208,318,428,075,592,321,474,080,515,415,482,550,172,456,723,960,047,
131,467,800,569,575,063,446,015,431,996,466,407,585,537,012,615,821,715,569,
434,657,315,255,303,215,010,021,182,174,996,379,361,575,674,555,147,677,431,
651,153,739,964,865,783,697,794,926,959,165,291,979,269,405,566,172,159,015,
708,247,070,996,001,307,313,465,272,226,953,654,809,296,921,485,105,837,514,
408,809,654,320,680,351,837,407,768,752,552,555,012,689,244,822,610,424,391,
152,196,005,109,406,642,999,764,110,602,030,462,472,530,667,476,011,275,849,
302,526,835,365,891,470,247,080,249,875,757,463,580,783,559,803,694,225,381,
864,365,832,815,707,463,749,160,200,753,990,699,755,109,747,693,419,591,592,
343,599,677,501,141,160,920,171,194,488,928,154,439,969,354,801,880,572,053,
441,162,663,151,761,858,036,749,624,823,644,987,434,317,597,277,545,181,766,
545,945,139,401,015,822,104,124,036,017,260,830,652,850,186,749,349,528,596,
009,917,769,232,445,281,059,901,931,008,929,665,501,135,102,841,761,226,389,
328,102,820,341,719,415,563,473,371,357,366,167,202,681,051,022,348,511,936,
042,303,102,093,442,644,479,358,352,532,199,156,688,281,310,775,918,584,475,
567,353,656,877,130,444,190,208,492,572,413,090,839,564,140,986,100,323,940,
984,330,833,468,292,846,004,807,107,153,143,381,984,167,909,135,493,454,908,
871,778,399,375,195,586,592,309,317,038,998,525,342,001,612,019,047,795,695,
873,228,979,084,128,340,835,605,509,158,531,962,260,475,518,670,366,222,395,
982,844,659,104,545,060,423,619,419,600,395,197,541,726,459,560,645,608,712,
153,799,733,350,294,287,215,182,911,644,181,241,529,201,493,441,549,259,527,
286,400,948,899,952,626,426,205,351,378,988,846,211,439,333,284,582,663,555,
345,151,258,221,318,563,739,843,886,266,071,400,244,672,487,107,116,012,615,
905,307,870,996,306,633,965,476,337,109,237,848,809,720,796,853,060,815,800,
533,633,520,647,480,448,699,391,390,976,553,837,258,423,762,559,300,175,438,
412,772,681,914,956,776,206,221,228,293,370,026,602,732,002,804,131,480,369,
710,793,986,937,403,980,976,346,321,463,356,494,447,569,448,665,157,720,158,
360,258,328,538,007,530,976,997,927,132,923,549,281,956,489,729,413,621,768,
383,647,998,490,627,457,166,285,713,615,020,958,066,833,741,491,437,876,340,
186,368,272,281,375,118,766,902,919,947,916,937,034,414,654,921,495,045,979,
893,452,606,571,901,277,057,680,512,807,809,042,845,543,938,215,130,296,082,
359,389,343,936,917,545,197,557,966,225,738,955,540,459,618,024,473,870,483,
496,601,976,675,728,931,049,662,637,746,982,980,559,310,790,619,282,287,417,
044,924,764,417,250,125,124,872,654,096,019,315,339,076,481,781,982,979,360,
116,779,054,915,337,925,908,801,834,791,595,129,551,955,520,987,039,129,751,
549,048,295,312,501,394,199,928,844,141,559,970,337,082,376,185,884,736,601,
597,033,623,737,798,740,797,427,176,067,631,396,412,727,928,152,592,483,991,
177,872,296,340,401,317,929,411,708,025,237,773,706,666,738,661,995,764,326,
324,652,473,224,975,988,396,806,036,673,241,320,701,722,618,419,495,407,246,
532,613,260,544,048,057,866,502,293,210,676,995,750,713,989,288,215,642,508,
000,304,764,437,673,748,187,925,757,412,762,162,496,047,743,956,253,234,960,
102,679,318,740,137,220,209,422,487,929,951,636,986,291,675,458,352,856,806,
351,082,685,885,239,757,445,127,518,712,212,950,900,840,942,398,915,559,805,
705,799,090,720,880,203,173,830,028,605,827,094,040,799,014,681,019,650,046,
906,618,706,443,918,213,230,278,835,773,585,805,662,094,622,933,475,416,834,
947,028,868,514,344,347,327,869,605,158,766,362,288,645,223,770,738,311,640,
428,375,120,783,469,100,247,389,023,901,304,618,134,132,791,446,758,418,196,
287,672,089,170,134,522,391,879,612,288,028,836,479,779,859,868,967,713,220,
238,965,212,869,545,407,200,512,130,402,215,487,775,218,582,656,735,311,010,
489,028,917,406,385,016,998,828,787,985,962,352,521,614,706,823,343,256,787,
598,674,878,401,895,165,305,123,334,442,716,830,749,569,098,605,139,569,450,
915,624,106,002,236,086,571,630,475,202,906,242,229,422,046,438,535,969,403,
062,955,356,325,909,362,474,065,019,891,779,578,854,244,427,927,673,205,243,
004,177,161,119,273,257,809,094,370,109,530,828,850,231,172,991,717,337,084,
827,701,153,166,275,310,396,887,484,799,643,847,084,705,926,305,370,010,751,
003,977,178,058,212,321,203,989,054,158,710,647,782,559,576,005,741,104,277,
446,617,842,089,470,823,782,313,775,468,555,405,317,887,668,901,248,288,642,
778,343,280,125,643,679,935,228,775,128,256,347,453,083,443,323,476,681,316,
442,379,270,059,118,474,743,837,367,201,229,446,387,004,999,065,192,771,715,
380,666,444,723,390,014,240,423,450,685,389,955,072,176,682,904,322,770,454,
310,982,762,031,967,763,615,617,856,541,881,926,751,606,000,060,178,386,051,
262,051,343,749,658,378,298,032,073,644,308,931,805,425,072,616,969,587,281,
864,895,767,980,779,185,044,734,593,008,994,729,051,050,313,217,404,681,875,
502,429,875,151,907,742,937,300,646,326,011,158,797,034,722,185,150,493,966,
352,463,165,350,083,206,529,495,098,038,827,220,438,325,735,967,564,763,847,
481,199,239,266,565,357,676,809,695,191,552,988,360,601,450,347,219,251,577,
587,657,659,081,992,337,611,533,427,706,589,323,250,741,539,838,753,879,577,
974,106,275,990,537,450,117,008,059,060,707,146,019,719,854,094,749,389,995,
879,402,697,172,979,447,475,253,440,605,184,105,002,803,594,380,738,652,753,
615,426,403,145,035,921,211,694,865,694,857,155,700,617,863,058,959,259,405,
899,287,833,090,734,184,716,358,762,861,014,124,609,697,680,038,363,758,475,
482,705,481,889,918,168,694,479,315,289,456,006,342,866,668,815,679,010,529,
545,518,176,945,361,838,496,434,899,797,248,022,788,034,529,267,159,392,836,
877,982,597,984,247,680,419,081,020,056,987,386,050,020,067,700,152,963,267,
055,625,826,089,597,857,081,290,180,677,716,522,689,879,126,246,499,747,619,
591,698,458,234,639,616,384,081,551,812,828,851,685,960,125,869,209,631,527,
304,454,408,688,564,651,324,759,502,627,346,896,373,252,931,653,171,097,499,
348,237,584,305,675,122,452,126,720,564,482,257,576,267,468,775,867,360,924,
830,800,659,646,766,599,485,637,530,450,881,058,830,769,176,116,249,978,479,
918,343,727,084,476,763,037,171,568,477,573,970,376,743,327,418,125,104,636,
222,234,957,686,763,674,103,268,657,269,627,368,471,050,977,158,378,723,643,
073,603,097,271,260,588,689,015,223,332,536,640,604,119,506,854,653,661,250,
443,037,806,188,049,515,174,780,979,785,513,202,060,188,987,068,677,529,171,
973,060,798,927,602,924,258,856,243,530,315,315,315,799,303,552,280,195,954,
316,984,487,303,242,093,700,442,038,866,717,398,969,985,707,336,318,730,584,
552,506,351,080,842,887,692,927,879,408,785,454,794,039,665,543,249,145,299,
987,093,595,674,973,929,219,145,477,958,584,935,674,889,675,142,461,628,234,
027,882,392,718,945,448,825,699,423,566,453,386,428,550,389,852,643,794,964,
806,225,334,977,510,522,754,111,530,891,368,638,700,341,069,923,914,638,152,
826,108,580,067,562,375,593,742,783,182,914,144,926,806,250,360,987,193,136,
746,344,323,268,900,831,966,525,121,126,053,624,440,385,126,501,214,908,154,
243,455,672,344,931,508,931,493,323,427,898,776,166,903,140,975,034,284,098,
405,188,995,495,102,574,790,338,752,551,894,905,245,602,572,380,279,840,092,
392,955,709,029,211,639,178,646,930,878,952,192,658,324,577,264,377,353,523,
308,114,540,028,427,301,428,438,017,291,242,684,649,547,001,140,528,938,679,
891,452,714,434,308,897,074,257,782,333,374,398,808,499,873,630,185,494,978,
465,082,162,294,807,567,996,819,311,998,163,907,580,712,594,075,710,616,793,
823,359,177,793,477,398,379,248,127,377,347,498,449,802,486,909,163,782,013,
534,141,749,101,668,795,920,338,928,788,074,156,022,972,858,396,159,340,529,
447,074,226,921,954,044,012,396,288,979,469,788,213,006,282,859,416,853,343,
291,616,245,731,100,215,928,415,093,180,586,245,096,311,768,678,775,992,727,
515,270,908,779,253,017,724,715,284,939,224,626,366,006,525,623,659,847,848,
221,563,342,013,905,952,709,523,277,908,745,160,475,898,076,184,277,757,811,
130,899,236,763,389,510,571,506,822,507,914,638,494,527,476,542,947,041,140,
138,840,093,008,702,984,555,787,874,144,600,834,940,473,222,895,097,625,782,
456,089,364,412,540,540,397,413,908,070,085,996,478,114,883,652,511,659,035,
787,073,610,335,808,521,759,220,253,472,137,335,102,567,587,093,444,844,070,
512,772,013,140,242,201,790,238,074,841,337,568,226,399,901,400,253,036,985,
368,255,835,073,684,806,730,181,998,060,505,149,893,258,029,953,694,496,940,
941,031,901,355,979,196,714,451,882,730,842,111,170,910,442,035,428,503,949,
649,187,014,214,637,033,894,957,555,132,083,780,924,746,343,915,723,525,165,
677,997,416,131,469,734,266,643,908,215,041,441,069,276,398,054,870,638,557,
495,816,467,901,296,990,157,286,559,092,523,606,023,680,494,483,970,303,478,
294,418,249,310,048,598,362,143,713,957,485,531,283,026,601,317,353,478,780,
024,404,637,717,551,339,154,921,701,015,023,944,289,946,619,683,110,758,804,
462,259,541,352,766,997,851,793,277,469,830,978,057,325,213,380,214,509,332,
505,225,782,742,890,146,367,859,265,390,095,904,156,955,851,212,280,736,075,
442,882,899,077,722,424,730,572,428,675,959,017,186,012,217,776,642,172,434,
273,638,648,619,145,525,362,353,367,180,567,230,111,845,480,569,415,654,296,
689,942,100,559,797,453,431,423,304,369,817,584,280,391,038,235,232,555,349,
073,177,254,739,396,601,903,916,350,591,363,197,270,103,030,515,837,298,362,
315,829,896,276,102,625,171,756,586,474,277,868,991,853,813,524,392,361,648,
170,513,106,075,207,037,094,980,366,281,054,861,640,100,501,291,431,244,772,
448,355,991,311,844,071,378,579,449,291,652,650,969,662,091,277,965,394,986,
216,802,309,868,405,298,616,995,343,243,050,245,361,503,027,663,535,017,404,
027,784,349,072,589,069,426,788,112,660,278,656,813,257,893,932,684,434,285,
613,294,000,117,496,811,260,909,906,800,307,853,064,285,087,282,864,850,399,
384,133,074,531,218,061,644,399,015,613,531,152,878,121,397,963,620,273,879,
061,994,326,785,335,757,615,931,618,571,252,417,916,594,653,706,633,986,326,
753,189,034,108,703,754,456,768,689,612,936,227,445,613,417,123,875,763,217,
390,773,216,275,365,340,930,240,686,581,206,116,805,031,555,148,538,917,046,
334,383,971,307,215,548,839,758,609,357,432,387,211,204,421,288,724,993,738,
368,406,515,164,653,921,353,242,029,537,600,538,726,522,406,879,385,811,368,
330,615,843,046,907,276,603,321,456,237,916,621,302,811,397,734,945,863,905,
649,913,751,679,539,973,025,840,839,628,260,888,563,622,482,058,482,760,880,
995,360,475,322,477,859,967,415,712,863,348,175,653,553,238,104,747,110,761,
663,653,284,504,406,035,114,838,278,029,782,438,917,364,642,860,067,681,964,
127,749,853,520,437,093,696,044,146,389,023,519,567,324,627,098,175,808,471,
246,474,715,040,510,039,893,425,824,664,138,028,912,018,953,584,868,310,508,
093,788,178,421,165,103,201,138,338,305,824,449,210,926,075,787,260,121,796,
414,522,330,928,024,501,971,486,333,649,063,372,520,039,885,700,744,892,223,
669,771,115,812,061,422,832,327,105,529,302,991,441,466,337,403,592,013,031,
950,096,463,009,067,754,302,358,861,162,719,388,127,333,328,097,350,377,746,
106,026,188,641,688,383,991,129,753,489,391,394,435,580,340,661,228,130,352,
203,770,495,320,778,424,795,679,615,572,408,252,318,453,335,119,879,691,991,
993,231,955,556,061,050,721,419,932,738,895,175,617,005,645,707,448,555,642,
716,137,451,017,349,681,055,203,753,987,581,089,103,109,053,381,542,550,232,
465,018,366,992,141,638,008,524,039,889,107,910,286,924,397,770,491,571,448,
945,561,879,494,816,583,238,205,546,345,207,564,208,332,439,378,083,935,127,
288,172,328,552,385,359,938,150,326,469,184,911,709,145,201,726,487,691,447,
466,270,074,588,963,884,868,097,776,871,894,296,555,107,731,807,031,880,271,
306,793,315,027,641,093,133,303,655,829,057,728,453,570,724,807,340,349,673,
817,966,755,589,712,524,685,519,689,807,102,957,759,252,924,216,019,168,307,
758,188,928,642,067,698,044,538,064,542,557,670,026,001,025,835,937,163,581,
493,574,469,955,085,886,048,833,447,679,507,013,600,435,720,131,621,594,977,
957,637,461,287,916,792,367,674,577,712,613,446,497,423,703,833,058,356,329,
753,136,614,178,695,934,654,880,249,495,880,344,976,334,778,518,363,914,301,
153,962,539,385,091,430,082,800,223,446,057,333,151,694,166,622,024,823,627,
931,737,297,360,092,505,550,007,287,740,297,921,319,841,688,516,880,955,454,
673,460,365,175,549,667,741,304,789,793,500,831,802,447,624,298,708,589,815,
425,437,219,554,126,269,207,573,355,364,540,464,592,256,435,005,469,523,829,
020,306,464,912,669,837,208,820,205,997,649,533,404,817,187,226,142,530,532,
604,801,579,866,936,998,272,376,708,973,543,633,002,602,104,357,251,021,186,
710,910,533,562,741,247,994,171,946,193,725,312,408,533,735,928,447,287,995,
247,344,975,487,919,889,996,997,830,729,306,176,666,529,075,561,746,685,373,
923,866,836,185,563,296,535,980,184,382,854,770,728,339,326,507,252,526,923,
915,775,658,025,594,795,709,784,754,159,198,541,855,430,615,196,293,644,606,
212,236,816,042,394,581,661,028,308,892,948,839,851,389,706,928,896,617,963,
127,158,524,862,246,247,163,610,773,028,049,751,405,595,116,594,275,128,703,
028,915,631,663,719,448,641,003,217,360,093,237,645,643,317,935,752,721,011,
104,916,554,720,121,314,019,525,271,004,588,486,625,275,640,976,399,700,329,
713,121,410,344,620,895,312,470,058,243,104,853,217,552,193,317,504,840,933,
465,301,669,020,594,487,356,366,532,410,459,351,504,183,678,097,072,794,866,
595,005,946,740,821,891,112,836,596,821,929,022,219,406,087,129,126,842,283,
035,005,274,743,119,524,985,945,459,247,178,587,170,062,789,597,414,323,844,
032,879,023,507,651,615,765,263,962,654,379,300,126,289,620,569,005,909,980,
723,318,058,571,250,161,256,424,611,977,540,565,978,497,652,401,176,201,751,
007,889,843,869,232,988,687,000,384,789,770,643,494,333,156,685,884,826,962,
815,453,696,849,189,552,850,290,108,774,470,255,404,839,349,652,820,073,705,
367,804,173,032,176,104,636,477,206,112,987,424,135,104,260,230,699,101,451,
070,409,851,563,848,403,269,554,780,919,964,519,458,750,158,763,492,785,147,
556,218,430,544,050,421,333,838,040,608,956,982,941,901,246,301,645,692,147,
840,342,031,728,653,601,872,284,111,672,940,972,378,189,970,961,256,230,228,
404,604,376,126,781,096,872,511,490,057,603,975,740,193,736,275,472,509,397,
271,694,496,583,857,805,608,676,325,747,878,863,350,245,161,657,785,079,211,
738,762,673,776,809,580,539,141,970,687,476,777,404,091,700,830,298,747,050,
626,009,104,577,633,335,570,127,115,003,818,725,567,787,222,864,972,099,385,
330,885,210,454,652,756,160,025,633,333,587,527,858,585,082,282,274,692,884,
621,635,388,423,682,643,768,078,807,104,932,623,405,007,083,264,716,162,796,
662,493,441,491,257,139,167,270,474,459,526,635,126,580,391,699,605,241,613,
068,530,809,894,091,498,926,234,988,285,649,022,521,013,321,315,675,120,506,
326,942,042,846,342,311,226,249,169,951,920,668,718,687,843,147,448,803,442,
269,113,325,348,777,087,614,164,894,109,935,596,006,853,233,742,143,255,547,
245,990,554,687,518,291,860,949,445,793,765,998,694,820,097,902,947,218,080,
926,565,734,379,972,491,046,169,189,191,796,060,348,101,688,480,321,664,415,
073,030,687,789,726,206,468,457,504,339,927,065,410,145,071,445,819,322,016,
629,649,902,858,149,653,634,356,340,071,944,281,365,791,475,707,873,390,703,
162,910,912,568,727,700,207,237,477,325,007,815,440,429,813,422,221,265,357,
803,210,036,032,274,743,406,063,313,912,986,806,702,752,982,766,945,974,882,
031,436,831,532,621,220,851,711,326,074,368,703,181,262,843,689,257,734,824,
801,322,160,178,921,882,124,061,385,629,883,288,558,566,956,894,153,740,883,
969,131,580,417,371,720,154,182,391,330,016,439,022,720,782,065,103,707,281,
334,379,970,036,371,852,443,067,562,712,480,072,667,661,809,734,098,572,283,
845,196,270,418,446,693,714,990,857,812,284,676,874,881,147,351,964,067,979,
848,462,426,452,956,981,575,908,127,440,431,368,630,621,614,096,483,236,407,
064,736,830,759,362,428,835,548,117,963,282,290,685,817,764,155,764,110,831,
417,355,026,088,005,270,272,363,437,430,678,976,759,568,145,647,839,859,057,
665,631,033,735,630,872,297,193,315,470,511,835,088,526,410,585,203,622,126,
481,927,537,497,214,402,743,720,528,788,471,563,779,485,432,617,124,432,695,
081,809,958,192,707,668,820,180,662,774,641,527,039,304,468,237,796,510,480,
444,387,675,889,040,188,262,046,305,265,866,327,225,489,420,040,884,915,696,
277,774,539,139,422,711,157,952,413,655,827,404,719,337,846,150,084,250,399,
424,449,504,227,261,754,095,573,670,584,410,564,606,762,748,729,895,765,638,
777,948,658,569,937,243,085,189,080,736,974,765,066,511,557,693,162,747,588,
425,184,703,894,558,472,358,408,369,164,541,794,186,862,746,968,099,772,489,
136,983,970,759,287,790,463,112,354,584,118,114,849,095,884,025,738,334,063,
924,128,496,837,719,552,902,395,138,234,244,998,634,791,133,784,761,473,318,
002,611,668,628,163,079,053,015,691,035,080,240,000,819,761,652,477,844,061,
651,856,266,619,482,210,878,457,740,059,030,723,903,598,270,070,651,925,046,
082,884,503,803,238,692,519,789,151,387,439,357,949,314,437,991,552,287,399,
289,117,118,399,854,549,274,633,227,813,219,720,847,028,533,780,503,490,184,
796,865,246,745,192,489,848,737,797,069,949,260,410,744,143,988,428,615,461,
143,304,542,774,015,529,071,092,423,980,506,513,869,695,113,402,351,390,875,
873,976,501,894,888,746,267,737,397,825,492,826,028,703,608,695,022,975,387,
374,317,083,409,565,609,602,832,275,740,255,772,657,001,990,078,891,624,832,
333,487,220,172,128,209,483,599,968,325,259,466,749,475,995,396,516,748,203,
284,790,498,970,658,454,241,830,838,376,827,609,363,538,695,801,352,645,677,
028,177,793,819,696,404,318,375,388,880,147,631,357,530,051,998,097,840,500,
635,089,304,933,906,888,592,891,102,674,610,370,046,097,510,739,827,067,478,
356,554,250,291,725,351,144,207,827,000,377,909,922,582,682,993,820,656,300,
951,666,313,915,402,212,360,570,245,670,209,127,576,788,783,715,220,374,135,
750,410,225,533,305,642,836,281,235,602,012,336,180,081,915,194,210,481,711,
202,252,330,122,339,626,304,281,651,658,890,781,970,105,603,897,047,314,409,
802,125,393,654,488,849,325,020,398,143,671,187,911,733,320,616,621,407,872,
603,581,408,888,924,555,035,653,114,211,059,385,548,183,993,308,736,598,245,
765,360,496,818,123,103,370,086,329,072,071,012,329,515,404,031,898,776,343,
812,458,248,173,583,073,587,272,122,212,974,055,109,398,706,550,472,601,571,
275,950,151,227,923,112,887,203,652,875,729,219,722,230,847,137,650,306,815,
640,714,223,152,569,213,479,047,229,956,885,551,872,137,332,327,920,064,918,
413,838,666,360,482,387,443,422,258,222,823,530,727,236,657,489,822,804,449,
967,922,913,267,371,096,596,679,644,465,830,599,921,561,626,533,611,148,391,
451,419,773,685,167,469,823,769,860,299,789,710,292,778,700,769,291,357,849,
884,513,625,114,565,929,671,645,851,229,128,046,775,104,509,073,315,319,873,
172,873,732,926,708,574,787,801,142,373,353,054,681,220,145,151,032,483,214,
897,615,396,279,400,103,127,940,499,503,946,493,203,404,543,333,008,599,310,
152,516,143,320,483,430,613,104,294,031,445,451,762,839,084,490,657,143,376,
382,304,896,958,333,641,546,286,089,965,969,722,969,163,369,902,337,359,613,
414,575,740,497,530,473,181,507,199,897,164,278,478,088,648,713,811,957,657,
823,769,080,170,129,148,063,530,906,605,256,654,535,546,781,471,333,894,098,
724,041,997,138,763,039,153,118,111,342,268,385,876,944,291,694,092,076,874,
890,246,227,916,929,719,530,780,498,704,471,804,182,406,018,866,273,251,749,
760,626,596,011,427,786,005,606,217,439,414,428,574,546,535,896,679,283,098,
767,681,545,505,519,726,474,776,710,288,033,347,066,697,700,889,637,006,506,
932,112,792,464,189,159,992,091,333,348,886,967,355,902,195,157,831,939,710,
967,660,847,771,338,280,151,529,399,375,139,570,883,545,943,159,068,675,914,
090,714,214,171,867,622,990,744,384,424,628,764,408,755,304,805,431,716,621,
665,986,792,367,327,960,135,229,399,091,665,786,128,428,487,852,896,051,727,
075,422,485,988,408,955,819,998,622,502,270,259,692,016,893,948,866,747,097,
451,158,174,973,259,097,513,822,447,932,400,131,920,840,281,137,265,472,354,
877,278,561,472,245,911,617,848,737,201,705,863,589,424,693,517,971,126,485,
997,695,313,919,930,846,428,467,995,670,469,346,875,851,784,832,617,840,022,
903,644,763,437,013,980,040,542,317,478,686,697,835,104,841,440,011,033,508,
717,663,585,002,625,337,427,809,467,802,076,174,351,219,201,734,155,534,078,
259,638,860,839,363,537,020,201,604,818,544,154,790,646,487,081,108,028,535,
789,497,720,879,311,707,594,487,468,298,581,229,826,520,711,134,227,770,153,
225,772,928,748,180,358,001,137,288,613,206,497,719,556,149,888,616,824,329,
588,307,428,638,313,757,776,626,525,560,037,298,348,238,547,289,831,090,594,
824,816,980,143,121,985,454,168,932,546,495,452,853,573,975,871,830,951,526,
923,849,490,396,472,442,246,714,421,362,781,220,514,968,142,903,005,703,287,
699,872,387,277,399,502,242,206,573,286,540,895,663,573,202,869,311,689,421,
539,764,342,452,979,879,133,432,571,459,674,410,959,083,585,828,725,451,941,
656,739,034,984,313,928,088,859,785,667,600,556,753,530,314,510,622,211,710,
503,470,873,084,545,673,844,379,013,952,717,164,984,120,614,634,188,537,369,
325,022,428,336,184,697,059,049,476,185,329,833,065,138,627,701,726,398,464,
419,833,240,387,576,477,989,263,460,061,948,164,331,005,549,072,524,297,636,
227,146,571,987,048,870,813,953,955,934,804,673,483,020,200,066,436,711,285,
664,081,805,783,690,200,220,410,789,327,548,069,467,631,406,522,404,804,812,
942,513,580,267,086,522,811,276,121,175,395,799,148,718,536,845,143,137,736,
329,507,910,184,451,254,759,840,550,291,661,206,081,899,463,876,206,156,404,
261,353,748,472,414,501,707,511,170,668,111,379,872,340,847,069,868,087,713,
321,286,874,201,796,618,585,490,999,493,841,620,922,088,515,619,109,164,780,
601,227,229,088,052,201,554,074,258,495,681,093,258,623,502,444,761,041,527,
419,777,243,700,928,116,914,254,711,868,534,573,423,615,457,143,606,354,042,
509,572,302,619,829,706,055,823,990,791,410,892,942,260,209,925,325,537,998,
558,259,215,293,918,281,983,159,334,734,800,439,179,772,778,772,236,036,603,
567,770,900,986,268,082,235,579,907,525,811,622,156,245,832,491,121,119,102,
233,788,281,059,055,719,811,988,997,425,147,684,622,746,823,321,539,425,677,
800,773,885,821,487,280,487,740,540,388,519,874,194,702,843,100,904,446,065,
705,518,928,655,692,933,584,928,986,703,876,897,464,999,991,507,739,346,228,
653,871,218,342,488,392,044,663,917,084,377,126,034,824,490,293,586,923,529,
618,897,536,740,951,975,589,912,654,243,208,230,973,370,707,069,011,725,387,
710,996,961,598,028,172,046,970,791,341,409,225,507,711,502,988,229,633,759,
724,853,156,182,616,674,226,941,749,255,576,401,516,222,623,606,572,715,816,
233,350,024,634,418,001,945,265,986,572,379,278,090,563,815,570,566,543,301,
609,394,097,093,265,782,085,736,184,608,725,636,596,346,933,080,808,664,817,
026,851,047,272,450,612,306,859,872,853,649,582,950,252,887,509,128,636,794,
805,391,004,040,379,680,436,390,375,775,319,193,322,075,259,034,371,780,479,
314,794,491,936,775,134,164,786,735,932,658,678,385,895,359,406,473,925,303,
814,084,592,670,744,637,273,567,232,972,931,851,972,692,506,250,328,419,800,
122,816,451,750,009,659,338,823,691,916,698,256,254,236,278,965,516,576,816,
138,745,493,065,037,508,429,382,600,353,292,093,982,354,959,235,647,246,050,
720,114,270,521,560,514,778,881,423,988,060,798,004,273,635,636,797,099,963,
465,948,866,731,283,166,031,319,414,797,625,879,629,212,435,651,189,876,039,
055,035,851,132,485,007,505,637,538,048,626,425,575,179,709,565,245,188,876,
520,978,568,590,218,982,955,594,922,459,340,068,268,140,886,823,393,015,401,
291,304,131,242,564,333,224,523,437,322,927,979,130,746,036,623,677,206,028,
820,076,431,223,969,851,368,338,122,081,710,894,060,804,469,257,786,582,309,
895,293,836,729,275,770,502,270,054,074,760,118,822,896,236,752,863,926,084,
831,469,673,446,331,614,090,531,016,159,433,573,818,396,720,282,799,965,539,
162,836,554,392,870,592,741,650,119,794,292,772,807,634,961,887,236,144,942,
352,920,973,353,586,709,213,812,929,768,682,592,645,196,535,341,050,080,820,
341,894,007,389,563,670,246,836,040,234,722,387,099,040,180,692,034,875,316,
386,492,651,041,646,464,655,664,198,448,440,241,069,330,227,970,752,213,296,
439,257,899,699,892,132,264,604,972,662,942,611,655,332,304,858,934,153,356,
357,594,329,394,630,015,669,361,909,783,819,660,806,802,993,198,267,184,722,
209,322,313,340,249,339,767,069,132,306,076,551,645,983,765,677,475,415,447,
368,519,438,995,073,446,830,947,850,862,298,418,125,609,283,423,177,661,184,
393,764,601,132,062,309,602,820,141,576,759,545,510,331,642,914,878,901,844,
028,684,781,960,566,923,849,990,069,317,575,378,000,912,462,026,754,300,514,
257,252,801,481,176,679,186,076,369,162,222,691,290,038,414,600,248,691,830,
342,921,639,729,783,476,585,606,554,554,242,102,252,203,434,171,594,351,515,
920,090,818,792,943,549,644,845,653,895,959,072,639,860,765,898,565,044,980,
516,153,278,881,545,476,988,152,644,967,112,616,456,084,642,056,331,192,638,
018,567,537,049,979,650,894,687,692,078,551,208,936,610,146,024,159,669,842,
524,354,899,339,973,808,460,580,929,755,568,207,391,156,313,640,253,631,745,
656,727,213,817,265,593,192,232,981,261,206,901,103,841,816,090,891,669,824,
454,156,359,231,874,263,557,966,201,778,197,302,313,781,161,520,946,355,558,
437,441,500,615,912,644,535,955,013,151,185,329,957,242,643,533,760,275,366,
370,087,187,335,027,879,223,717,944,907,207,527,422,934,809,293,050,710,275,
599,837,255,767,523,949,723,162,767,159,809,272,239,785,480,666,592,348,377,
185,728,658,635,955,245,992,441,806,719,197,768,875,101,194,255,178,449,096,
318,620,414,601,757,792,953,430,344,616,154,131,966,590,436,329,497,978,388,
605,517,705,026,937,908,368,701,581,894,148,200,891,285,745,437,221,432,558,
229,023,099,223,208,338,502,398,007,325,759,945,355,058,994,324,831,008,140,
511,630,958,657,031,224,241,950,989,237,443,320,526,616,395,466,509,173,885,
376,939,208,785,982,170,528,526,042,946,422,962,068,101,127,799,649,373,284,
795,838,230,215,585,014,189,834,310,693,963,112,733,292,481,398,019,907,361,
947,596,610,481,446,267,720,535,909,022,777,762,534,427,625,391,205,721,789,
876,186,695,641,549,181,668,252,932,188,101,935,077,651,597,037,643,234,854,
528,132,052,758,620,627,173,661,215,511,431,702,561,432,795,260,108,097,105,
751,229,578,679,032,892,703,260,475,122,904,167,533,285,470,858,218,925,277,
973,148,912,560,023,278,239,323,822,261,003,932,268,287,304,963,051,385,537,
747,774,310,940,211,675,244,686,608,840,434,981,361,665,238,602,069,498,944,
766,265,854,326,663,553,191,285,149,696,231,073,109,102,917,417,858,180,122,
511,541,586,876,109,296,880,074,565,198,457,258,020,231,683,757,064,113,569,
494,685,998,192,003,307,251,858,347,981,624,687,660,127,521,717,941,972,716,
341,060,727,351,815,616,651,584,013,715,405,614,782,597,274,889,623,385,714,
355,830,288,965,106,802,607,366,880,856,081,312,157,498,650,808,790,931,645,
552,386,701,533,460,247,622,642,778,450,039,228,091,707,965,167,176,676,951,
661,746,467,954,885,107,864,651,575,713,517,795,347,672,770,312,750,965,235,
605,714,292,088,617,179,654,077,437,497,050,266,795,263,007,095,618,542,005,
674,920,544,849,359,298,254,268,802,694,740,328,236,047,385,816,205,968,389,
624,117,486,902,109,604,315,583,634,536,886,789,282,748,914,264,440,367,633,
211,894,038,259,865,621,588,398,961,872,991,495,029,802,926,070,675,653,146,
324,570,436,178,844,095,408,725,700,945,537,406,037,988,346,073,884,259,688,
484,527,137,749,175,752,643,492,777,497,897,769,694,134,705,517,027,758,269,
562,607,339,683,612,659,293,438,935,783,837,939,496,367,692,275,782,721,121,
026,123,436,205,360,431,218,405,444,347,958,756,668,200,148,549,456,796,451,
743,017,217,123,282,053,475,005,095,070,767,667,344,635,677,778,965,934,237,
278,800,881,698,312,893,214,351,672,371,678,983,207,687,303,663,706,474,444,
126,039,552,426,969,589,132,204,909,983,832,370,334,483,201,800,915,573,826,
991,087,069,251,985,813,983,338,905,953,309,290,599,844,509,385,876,804,665,
053,276,602,162,434,008,096,509,855,564,628,224,499,078,527,172,284,725,114,
754,943,218,877,174,235,839,896,616,846,637,493,834,231,454,752,103,030,447,
968,632,348,003,269,604,815,602,580,992,948,866,030,930,406,014,488,372,193,
616,457,185,215,360,763,286,032,478,640,833,121,397,453,820,140,499,661,222,
903,501,230,931,985,058,404,248,016,584,527,420,616,600,686,883,335,502,419,
135,846,615,509,614,580,593,297,715,758,434,537,395,800,203,393,086,385,098,
755,084,219,112,032,886,483,420,356,415,408,218,907,345,175,734,339,288,550,
304,586,805,410,673,553,342,755,078,516,689,653,093,300,227,056,522,460,498,
031,948,344,792,374,033,012,011,878,369,498,555,878,006,239,218,933,425,433,
647,963,472,480,401,801,107,402,865,161,680,015,654,134,960,126,114,096,375,
727,780,045,297,455,652,962,996,683,350,290,609,642,488,505,534,213,749,283,
423,864,781,338,506,491,248,622,807,145,818,322,415,871,386,114,668,310,157,
834,754,421,059,711,891,084,851,485,849,263,142,288,062,493,505,179,022,639,
627,156,924,788,962,064,581,060,626,327,578,035,556,584,245,743,633,161,899,
578,228,110,179,094,803,423,172,809,743,281,645,904,806,619,088,265,743,263,
307,316,274,122,589,503,921,141,837,757,660,292,832,675,100,673,720,575,328,
369,277,750,775,358,626,458,120,939,395,707,171,471,712,014,170,582,351,215,
239,777,338,203,993,690,621,022,540,910,933,299,698,862,765,909,228,480,588,
825,644,754,142,366,388,703,197,795,900,166,670,209,055,950,626,408,018,949,
812,693,557,469,315,668,308,106,660,917,564,296,821,086,885,565,673,161,757,
649,775,996,506,577,004,373,988,806,479,434,363,079,369,600,801,066,679,567,
703,995,718,655,598,556,386,918,162,393,434,447,975,399,157,290,864,063,453,
672,051,732,832,132,689,425,786,743,622,022,184,726,497,293,482,083,765,964,
332,644,395,987,873,072,747,894,158,253,519,464,826,613,265,823,133,433,256,
527,204,194,217,629,631,410,533,890,395,736,136,496,529,627,789,758,478,999,
673,076,422,043,096,183,661,013,791,339,444,127,846,818,649,533,343,162,130,
154,050,263,665,229,543,515,841,408,560,494,799,465,808,247,009,803,600,127,
838,373,974,729,903,867,101,911,520,855,298,956,961,883,697,194,803,631,691,
209,433,687,948,409,135,470,746,904,937,272,850,462,990,921,776,231,762,262,
418,876,420,832,802,553,991,701,719,337,493,999,062,844,525,315,404,296,272,
374,864,880,794,767,527,024,159,918,701,250,072,039,152,697,454,069,280,283,
519,160,917,897,047,104,911,041,454,458,971,842,176,500,480,814,908,898,991,
803,151,382,681,162,686,503,775,753,526,557,035,525,842,860,422,445,666,065,
058,173,609,452,231,582,232,209,685,861,359,477,531,464,221,784,825,121,291,
192,655,397,904,514,192,158,514,449,449,831,995,669,158,585,472,812,375,295,
918,718,072,361,326,607,531,057,321,691,903,785,726,903,927,312,030,828,735,
274,136,106,377,116,450,324,682,931,178,130,993,376,791,644,338,283,767,956,
361,871,911,847,428,173,051,229,196,351,368,293,498,002,645,650,213,660,400,
985,663,398,766,867,356,292,763,413,206,111,824,702,280,467,225,477,857,585,
657,030,585,063,379,553,581,799,109,359,478,232,885,824,682,866,743,494,591,
013,868,384,007,517,765,306,161,196,243,237,571,792,076,420,146,493,437,243,
612,684,558,280,328,208,535,202,749,132,860,170,669,367,266,484,834,910,625,
255,777,457,263,987,605,040,206,237,916,228,628,903,592,035,771,397,252,635,
478,633,624,918,519,392,066,936,656,592,845,114,518,467,873,539,944,985,747,
399,306,495,691,269,993,691,191,484,288,129,173,003,926,609,080,536,675,618,
593,934,673,125,295,969,463,495,675,870,594,252,643,581,766,038,666,549,934,
527,133,210,727,344,768,010,035,031,923,894,435,581,928,382,182,204,888,479,
763,420,826,925,060,515,440,350,308,043,016,787,488,958,060,630,366,633,981,
943,956,487,633,076,348,759,765,332,981,717,616,540,841,994,377,755,183,269,
541,158,152,384,176,333,316,163,020,574,554,937,670,975,787,463,068,888,191,
102,165,696,728,119,399,198,025,520,710,836,998,983,067,912,070,998,151,622,
039,786,360,300,963,790,727,621,155,545,283,086,454,627,736,986,847,710,108,
466,416,492,115,086,060,536,405,951,035,566,950,007,984,253,145,549,534,684,
640,798,525,080,558,475,401,640,948,647,769,873,221,223,429,716,137,640,522,
827,967,316,754,496,906,341,905,575,516,018,781,167,073,932,311,980,489,545,
471,844,859,478,653,425,743,772,040,236,747,683,672,554,121,779,871,561,933,
095,854,348,996,091,879,563,848,942,454,286,907,161,392,987,500,359,951,673,
999,922,433,950,489,282,429,865,523,005,799,312,105,731,826,760,103,305,862,
162,746,409,386,748,119,703,785,895,792,004,423,083,151,393,229,948,299,604,
570,302,795,272,003,550,986,146,198,076,418,020,037,288,166,367,300,967,764,
332,463,880,768,708,111,481,923,790,728,240,607,600,436,632,009,295,044,706,
637,546,151,838,300,143,648,004,967,660,052,238,352,478,291,099,375,269,924,
582,248,000,608,708,606,946,797,410,624,748,689,275,186,037,686,158,899,141,
836,274,772,183,080,212,298,878,763,703,995,564,173,931,831,892,554,386,336,
255,251,367,975,762,331,272,930,034,574,471,178,303,672,621,758,946,865,898,
569,722,548,357,088,703,987,393,518,039,991,302,063,725,386,584,429,511,485,
821,637,042,379,493,987,283,198,653,862,064,626,259,316,097,434,955,711,968,
402,145,478,794,344,530,512,586,726,889,912,293,039,711,201,282,488,447,881,
829,493,163,228,656,968,401,172,674,016,454,062,938,379,056,576,337,776,957,
045,411,103,930,701,036,572,892,636,216,384,284,602,836,966,349,364,264,316,
094,428,702,569,657,040,245,751,872,212,963,745,215,545,118,443,673,766,268,
626,969,946,737,473,951,265,622,011,424,613,140,358,570,860,697,767,615,974,
524,765,151,173,985,211,826,755,639,365,165,618,791,178,197,316,717,395,523,
103,071,435,456,817,331,608,516,469,487,739,835,097,370,946,368,752,191,876,
669,767,960,565,979,495,445,862,580,466,607,684,463,945,566,537,454,118,864,
189,945,099,989,043,424,189,577,456,572,668,467,538,286,246,573,962,294,439,
447,413,182,013,949,141,858,355,182,280,637,863,961,459,120,060,262,981,389,
106,510,975,022,782,646,970,409,681,689,240,644,903,897,901,909,554,247,002,
636,944,215,992,582,206,439,758,079,250,321,469,007,766,951,068,018,367,316,
938,118,334,116,182,053,988,982,787,170,912,361,282,161,534,448,663,462,429,
106,606,247,718,412,561,097,023,445,182,719,893,721,459,229,892,776,472,148,
691,353,197,139,186,810,125,063,266,487,907,663,363,871,737,003,951,837,679,
071,589,788,714,331,508,194,588,536,017,588,307,285,229,445,236,334,537,507,
752,106,783,894,228,335,924,669,716,189,280,353,004,671,249,049,716,725,026,
551,730,465,067,825,635,657,168,313,031,749,703,329,880,218,930,226,520,069,
448,212,386,750,222,198,011,726,759,489,808,676,640,143,772,100,809,190,908,
716,363,083,351,002,207,590,684,852,303,665,926,698,881,124,056,101,925,728,
106,109,647,286,811,072,303,495,591,212,573,080,635,220,008,783,490,867,654,
936,946,253,967,066,367,084,487,017,110,461,966,383,592,345,702,382,790,281,
613,308,073,505,199,295,718,611,867,189,995,082,393,452,976,740,018,333,250,
876,249,715,482,194,203,447,513,613,608,959,503,176,455,992,759,883,103,125,
935,266,155,951,684,255,949,478,082,256,200,177,369,535,893,875,967,982,212,
896,317,498,664,571,614,097,281,710,833,760,221,167,500,758,720,791,525,538,
119,716,524,479,909,870,897,547,317,167,301,658,400,756,005,771,895,508,404,
398,064,033,201,497,022,527,769,021,394,620,863,343,463,136,356,508,281,596,
744,222,624,592,392,414,823,168,047,834,487,265,048,203,849,612,776,371,934,
758,955,819,698,411,032,249,522,665,705,941,882,383,435,955,098,337,448,288,
723,634,267,248,781,684,844,993,780,363,500,121,101,096,518,054,950,681,377,
233,678,548,421,361,125,150,379,980,771,076,552,333,994,246,697,630,133,965,
510,780,884,034,665,217,445,804,052,384,260,087,008,206,963,657,616,766,316,
967,187,231,940,216,700,008,189,106,860,744,210,447,405,757,195,071,221,314,
374,000,267,449,097,743,791,556,164,789,041,147,244,384,864,341,124,914,242,
142,562,542,259,918,606,733,778,586,598,617,581,675,313,774,013,355,710,686,
276,421,054,594,317,467,817,407,980,360,395,785,036,154,019,528,646,398,546,
237,302,970,024,348,486,616,305,713,356,896,933,493,428,759,353,562,273,094,
400,344,929,748,827,237,402,885,940,726,597,911,139,554,680,434,998,195,471,
895,089,262,750,550,153,799,291,687,228,814,765,587,189,816,518,861,730,660,
552,328,984,163,342,229,735,009,100,457,544,131,374,032,010,691,795,703,230,
996,480,595,873,984,623,159,434,726,443,162,715,559,873,347,745,352,629,582,
374,758,293,878,433,917,031,568,140,484,697,099,473,116,332,563,329,026,235,
905,170,864,504,339,125,379,068,551,280,811,900,780,843,091,134,361,041,608,
999,828,917,555,703,703,705,744,696,750,525,029,079,415,884,167,501,819,546,
378,962,870,393,851,872,886,540,901,270,637,908,389,164,409,742,761,262,907,
438,909,855,831,289,424,829,617,504,007,258,200,581,212,946,686,394,371,639,
044,563,943,642,491,040,212,591,797,433,154,673,667,754,809,779,061,298,959,
224,994,939,695,418,123,099,803,210,582,778,860,924,110,228,210,529,458,702,
503,995,507,780,452,169,523,805,881,743,765,599,718,862,591,321,656,595,812,
006,535,743,086,322,625,840,115,992,899,929,550,879,966,432,880,115,316,077,
397,026,102,618,288,588,305,895,632,142,387,578,422,842,929,388,824,607,661,
397,864,114,367,156,773,039,458,286,405,616,894,194,636,268,755,001,043,457,
481,908,231,156,436,934,132,298,672,360,608,121,955,918,236,074,621,744,232,
231,190,210,694,058,957,829,192,766,648,638,199,433,983,452,232,749,663,590,
392,655,753,144,802,326,000,831,728,129,183,908,316,371,104,630,860,073,900,
203,346,269,822,577,484,035,550,643,214,155,916,122,776,227,693,280,439,172,
509,795,207,514,225,731,807,497,895,738,117,330,913,025,770,616,613,047,255,
726,604,509,425,021,405,173,062,487,138,629,525,460,392,557,244,928,804,195,
876,339,190,585,594,214,812,149,320,872,610,756,456,568,335,542,690,763,622,
295,671,035,055,910,654,792,815,459,853,167,725,082,215,755,154,975,442,201,
234,785,829,463,923,054,940,655,223,023,606,149,018,235,195,066,291,974,625,
159,246,750,011,932,004,894,854,686,250,817,519,181,187,341,383,694,107,677,
606,423,632,102,767,976,965,208,502,249,022,852,169,345,710,900,774,388,650,
481,786,639,215,527,477,728,327,406,735,143,113,919,701,606,319,784,796,324,
471,881,348,592,913,745,537,613,864,796,011,501,613,522,934,562,148,808,288,
104,127,512,176,268,917,144,687,052,096,752,974,012,607,797,834,710,764,395,
649,707,514,003,974,170,260,974,745,179,543,689,854,725,621,429,790,467,649,
288,549,187,311,032,917,053,606,183,622,810,725,770,016,344,697,397,696,358,
260,106,722,888,739,263,536,420,301,597,279,019,102,990,056,195,105,761,227,
660,205,417,356,255,817,621,087,194,594,357,113,954,844,060,534,737,109,102,
697,050,599,067,584,572,175,293,195,606,105,107,671,690,472,701,287,002,024,
568,023,143,197,982,519,219,484,966,364,314,764,302,619,026,939,074,140,292,
973,907,295,041,130,363,215,481,235,346,746,765,415,151,987,106,856,814,101,
537,397,991,854,648,958,365,573,691,923,036,307,889,590,791,817,183,182,985,
397,839,220,186,864,637,429,027,756,386,048,019,009,863,834,422,722,974,726,
376,632,902,776,838,869,198,310,058,579,716,630,617,570,041,434,897,584,219,
458,725,431,006,681,231,842,937,963,407,716,352,058,531,793,065,300,115,093,
170,198,981,075,820,362,258,036,615,897,451,770,020,674,424,091,300,398,696,
817,205,684,825,826,735,110,166,891,731,487,990,053,143,350,868,284,084,311,
310,495,244,623,432,371,290,109,052,656,582,594,176,715,536,085,981,286,692,
598,511,031,607,434,700,331,563,420,818,132,125,655,431,424,353,605,116,751,
951,162,490,359,354,427,256,527,959,868,858,494,909,179,800,922,836,238,864,
640,382,012,431,185,847,010,176,107,302,166,444,384,644,019,350,922,651,918,
368,927,691,869,417,735,888,222,557,985,310,990,948,020,121,602,249,793,174,
033,226,205,203,181,018,484,593,448,611,425,434,688,294,770,114,079,632,983,
788,993,976,318,137,595,282,621,366,448,960,152,393,046,821,945,327,197,180,
291,017,274,612,842,805,476,393,121,672,689,128,703,658,197,379,548,293,864,
456,315,198,028,420,379,378,545,898,084,566,243,490,614,605,918,750,859,905,
238,439,585,191,346,183,449,275,783,001,766,215,964,776,064,142,835,127,222,
811,872,496,367,310,407,272,251,829,173,921,791,975,421,453,208,798,845,532,
419,990,501,655,288,698,308,449,318,707,222,633,027,337,451,576,831,941,528,
357,545,201,567,532,382,728,719,742,724,433,253,174,214,200,639,380,362,110,
492,848,078,461,630,256,551,493,594,330,760,142,709,547,419,478,822,001,255,
126,832,450,546,240,532,196,645,705,275,825,855,884,298,224,713,186,291,638,
704,700,955,336,400,983,212,962,046,824,611,119,298,698,734,260,960,693,395,
419,841,108,238,010,349,927,303,571,478,850,929,541,466,554,041,151,406,493,
480,654,776,918,918,596,700,501,728,641,113,811,165,222,305,785,368,516,619,
377,314,749,672,194,158,702,081,040,842,333,160,671,727,559,855,455,217,590,
068,324,183,176,575,551,336,927,517,963,524,321,362,992,908,907,423,170,829,
494,744,548,178,245,906,799,520,178,383,686,235,278,005,028,697,314,462,868,
359,615,671,031,453,832,651,188,226,843,286,620,031,630,756,282,264,232,699,
058,800,941,564,136,304,780,249,820,332,776,422,867,276,715,432,362,309,572,
803,193,525,381,679,850,645,597,804,012,597,928,901,037,389,090,779,268,330,
489,443,630,368,905,958,084,563,685,036,534,621,559,201,883,904,646,045,248,
666,847,165,253,360,950,691,735,791,129,399,398,969,021,332,125,459,910,120,
291,753,918,298,469,149,238,782,237,077,759,972,569,034,511,482,174,799,484,
821,395,772,815,018,779,783,042,284,565,500,389,252,884,850,215,080,599,090,
067,090,496,218,844,503,555,035,259,369,521,303,890,304,692,110,753,998,139,
667,640,433,519,125,540,844,595,942,422,198,307,477,293,092,973,468,251,061,
497,916,544,876,504,822,895,476,719,120,256,347,237,639,913,891,368,778,833,
618,477,717,857,189,867,203,589,384,915,986,761,046,208,248,706,470,837,981,
513,296,969,034,393,528,897,642,854,396,890,781,917,153,880,897,453,264,396,
642,747,536,064,540,183,473,246,960,526,315,735,056,102,098,366,105,907,906,
673,647,737,956,472,748,070,636,537,635,553,947,988,499,448,424,639,041,446,
256,355,199,727,460,866,224,216,182,948,791,883,228,484,349,430,076,074,026,
171,302,339,850,436,270,775,326,272,819,492,346,333,018,554,682,129,652,536,
721,962,894,790,991,503,376,261,869,909,129,331,882,930,336,979,128,811,811,
569,983,002,476,287,406,626,596,350,719,426,359,166,460,500,473,673,361,807,
196,177,348,018,400,617,814,258,492,763,152,732,207,831,396,286,360,556,020,
789,468,587,004,422,885,391,258,767,773,602,311,197,556,685,820,020,492,485,
660,921,062,155,174,531,896,090,984,312,956,602,258,834,828,370,455,070,874,
120,210,241,949,886,253,863,671,771,819,514,661,521,448,862,373,358,975,686,
569,638,767,051,180,465,753,320,093,803,514,011,179,895,060,778,095,543,981,
505,510,812,023,444,001,502,427,452,766,571,835,298,220,113,301,589,916,159,
824,681,611,930,887,061,074,570,584,467,983,358,090,564,667,588,152,370,827,
170,901,322,124,427,536,819,039,184,886,459,095,972,344,864,931,907,101,827,
271,788,887,626,675,482,630,581,451,500,048,261,566,114,527,641,002,060,599,
402,062,220,462,898,268,232,669,965,585,559,378,761,964,971,622,577,458,355,
362,354,223,545,728,312,887,294,865,597,483,118,092,157,757,132,011,284,228,
779,678,962,110,848,678,993,046,871,687,563,955,065,426,116,597,123,673,198,
921,980,181,934,169,189,641,912,357,785,781,723,584,629,511,258,805,703,211,
550,824,200,940,222,657,810,247,129,812,826,949,585,335,568,616,119,437,013,
164,143,826,539,987,909,938,424,697,068,298,959,497,936,669,198,038,914,543,
688,665,163,264,451,849,689,511,508,451,647,645,072,929,405,587,370,671,134,
300,512,156,097,779,061,797,681,174,601,257,668,330,184,864,202,846,075,699,
753,485,826,816,959,184,669,213,190,141,028,215,349,629,473,479,647,763,257,
083,550,436,586,256,518,295,181,938,407,594,598,807,357,023,068,436,803,887,
130,882,885,807,546,030,970,478,566,558,415,543,846,319,116,015,159,038,681,
364,053,277,302,914,121,577,856,407,239,019,446,807,382,438,503,536,731,438,
667,083,230,606,413,030,346,633,257,030,056,359,229,979,678,063,055,147,097,
570,945,674,658,502,607,342,064,385,982,225,732,026,911,506,726,105,436,027,
262,629,878,650,212,906,077,863,065,259,286,023,777,633,477,742,488,426,172,
603,422,788,048,158,704,075,014,566,485,877,783,132,582,032,718,870,877,162,
407,803,010,370,600,557,829,441,207,779,108,336,992,617,827,321,329,586,840,
600,355,702,670,041,660,742,586,223,297,758,595,680,213,765,080,259,930,163,
864,122,630,377,058,623,706,109,446,749,688,652,833,619,068,144,603,074,859,
542,008,917,691,011,262,681,892,094,859,688,661,794,845,605,876,385,259,785,
129,240,590,639,066,944,209,358,274,540,927,093,876,716,002,913,095,293,226,
931,816,733,887,423,947,186,063,139,102,449,891,798,572,846,420,763,751,763,
333,062,931,850,697,457,882,745,447,763,065,471,727,607,018,006,238,338,695,
808,644,770,974,423,251,474,985,655,476,208,850,039,518,709,701,786,756,944,
453,587,279,485,727,449,274,905,853,977,334,327,943,546,188,808,206,768,285,
927,244,390,207,556,696,534,678,495,606,926,273,247,886,890,206,931,926,371,
406,623,702,119,265,196,371,095,560,169,295,368,951,962,004,066,069,078,484,
949,348,494,106,035,893,200,827,855,268,164,495,898,975,908,761,937,333,073,
835,520,962,153,510,493,386,946,750,000,917,463,308,869,284,504,207,994,895,
238,370,898,798,040,167,985,579,377,717,789,567,868,551,295,446,742,493,916,
884,361,090,934,083,541,907,169,381,141,425,949,685,946,999,135,691,213,487,
600,888,781,527,974,262,253,991,896,782,088,375,249,845,018,255,368,615,266,
212,814,241,011,978,221,546,871,476,819,175,742,279,600,981,966,737,517,878,
859,913,000,875,238,891,359,714,715,245,950,860,292,537,438,612,798,684,006,
818,019,050,079,248,743,181,208,206,165,453,607,976,575,295,579,724,544,338,
959,416,172,954,244,221,273,785,817,751,488,226,539,875,663,827,923,354,104,
927,800,815,764,989,616,189,324,497,510,463,931,667,328,451,556,357,107,543,
960,783,965,533,866,122,980,961,018,984,570,164,586,423,124,552,601,923,716,
624,703,206,538,575,494,745,260,974,471,658,341,754,640,340,217,088,040,770,
656,799,964,233,483,186,550,705,522,743,787,745,742,231,147,595,130,980,477,
616,765,760,379,090,511,172,943,306,637,411,618,789,489,030,213,365,761,077,
841,546,467,531,575,432,293,707,302,408,639,197,232,819,424,913,187,287,283,
549,646,966,584,314,051,923,482,713,602,008,662,679,985,139,598,751,427,901,
691,898,383,250,544,662,301,537,936,040,017,760,320,632,332,422,302,837,084,
440,451,925,599,964,561,910,898,992,021,221,843,138,738,524,761,701,493,146,
533,649,984,139,290,320,833,024,195,103,827,108,647,634,014,743,689,454,791,
550,645,737,175,119,567,035,782,941,026,849,106,915,814,526,159,118,988,034,
051,349,542,192,298,107,915,459,381,100,761,739,379,070,068,642,943,835,473,
424,186,512,026,611,695,892,493,975,040,686,655,110,797,320,692,007,193,279,
203,800,896,512,588,855,526,042,985,565,618,174,267,105,144,348,476,227,488,
942,462,484,931,019,319,228,442,848,750,239,437,082,234,383,374,686,767,775,
642,887,161,719,593,777,553,896,416,677,212,554,381,433,737,102,173,748,532,
439,848,160,516,107,429,315,861,179,460,118,126,077,636,025,445,494,259,800,
568,420,979,730,700,547,508,403,376,339,774,660,183,081,447,819,067,384,098,
249,438,945,608,400,656,172,449,293,504,890,006,601,462,130,887,174,312,541,
072,529,768,970,867,387,441,585,085,999,667,627,879,243,239,150,297,569,143,
467,897,790,355,227,806,928,128,578,329,171,994,735,374,031,101,830,575,641,
824,493,757,708,942,159,727,559,334,036,567,135,940,358,367,680,509,199,743,
617,484,877,448,016,882,078,885,771,341,074,221,709,985,151,536,224,997,117,
316,275,064,335,894,533,829,317,146,590,828,070,975,120,361,334,752,603,594,
495,444,423,623,695,451,330,203,233,251,241,151,134,197,260,822,727,966,019,
177,488,846,764,141,163,112,604,423,452,489,336,598,819,761,935,588,596,150,
519,729,228,920,768,475,224,242,601,712,470,437,294,985,003,165,545,040,249,
694,568,278,172,607,384,989,313,369,492,048,391,079,754,282,897,621,961,971,
967,332,537,588,913,334,037,731,305,760,705,994,330,500,925,509,777,740,006,
404,444,922,860,462,109,836,601,744,645,823,047,913,681,621,801,318,015,068,
346,511,129,602,710,437,194,364,455,877,595,117,456,805,524,427,376,033,695,
481,038,813,669,979,145,472,444,689,861,310,659,345,002,357,719,506,928,929,
324,769,778,402,558,802,737,713,904,676,157,559,263,797,133,134,823,320,779,
973,485,860,368,407,838,903,485,773,956,014,901,329,654,374,757,313,288,196,
484,169,147,987,056,257,387,978,868,419,864,975,624,129,234,118,103,962,619,
458,297,799,896,453,508,586,506,905,976,375,624,271,630,184,220,018,595,842,
377,883,330,426,280,502,255,700,384,787,979,164,614,221,161,409,337,117,705,
508,491,745,081,872,657,094,812,698,397,376,713,335,198,448,892,046,120,645,
330,862,102,195,084,888,106,030,374,660,489,856,352,538,294,244,404,583,670,
611,125,846,359,421,079,466,986,976,832,386,846,336,505,296,572,573,262,490,
681,906,033,995,946,696,253,416,032,932,143,189,841,106,540,767,877,078,511,
720,701,420,805,557,584,017,828,571,883,898,460,048,475,883,082,130,159,231,
927,041,116,919,419,018,277,954,651,506,168,243,289,516,267,123,496,600,737,
761,553,855,509,189,129,082,401,440,558,066,719,543,275,598,721,943,943,114,
039,799,515,555,408,064,680,938,227,457,021,932,390,140,422,632,909,229,911,
790,038,354,186,561,046,592,496,222,417,850,035,680,740,260,842,601,744,614,
018,341,731,992,149,351,028,186,486,545,360,891,841,356,793,597,875,036,076,
727,251,604,277,388,699,346,910,362,423,123,063,736,472,697,614,753,623,969,
183,396,005,516,902,369,163,120,159,595,916,748,920,488,508,077,047,986,410,
363,118,251,906,005,329,626,409,059,123,335,930,491,383,804,802,139,260,266,
273,977,668,170,289,688,032,202,569,582,652,726,681,494,633,321,741,343,587,
601,226,260,628,726,371,284,644,696,542,522,613,872,398,178,378,428,326,911,
814,245,302,047,925,018,857,781,704,360,707,695,887,671,977,857,283,733,600,
856,788,792,979,061,239,630,786,124,431,394,505,518,835,817,049,343,468,397,
447,999,252,862,572,561,299,168,689,172,443,207,279,173,828,250,824,345,433,
465,894,535,050,386,688,868,159,350,260,699,359,041,360,402,948,650,878,168,
172,238,130,148,051,002,110,524,780,201,652,686,514,283,820,222,499,255,020,
580,836,986,874,128,087,757,857,678,667,041,285,394,039,286,163,244,686,917,
159,607,438,423,468,802,463,064,048,964,480,903,214,562,804,754,148,759,541,
537,191,746,785,257,891,886,811,371,834,969,763,754,590,120,941,332,041,577,
456,179,070,384,737,815,885,548,982,891,344,066,767,391,784,101,622,283,248,
912,417,012,843,305,937,971,178,737,240,433,547,963,840,481,390,279,283,087,
060,323,952,934,054,588,798,917,122,756,476,971,399,405,070,542,228,318,182,
847,514,848,717,054,994,425,210,494,972,636,149,932,840,284,340,667,164,192,
354,147,198,429,023,140,307,637,017,201,909,265,178,081,207,713,064,588,254,
286,652,774,518,486,387,743,396,656,795,928,954,133,183,326,841,845,228,614,
253,982,477,591,723,961,356,744,396,877,014,946,686,183,361,692,898,165,162,
943,544,577,188,665,446,390,942,708,287,599,682,352,254,257,042,265,151,567,
392,948,977,605,963,211,980,912,195,784,059,408,304,315,791,299,821,653,112,
793,386,068,209,468,697,253,202,198,090,352,298,336,177,805,673,111,557,238,
537,367,968,594,283,837,343,409,140,417,112,252,001,612,614,135,824,188,597,
550,392,193,842,248,220,329,716,062,084,889,535,119,138,878,905,747,345,683,
115,480,196,547,279,845,081,218,154,535,568,229,895,693,261,455,188,276,192,
858,389,267,840,880,186,549,531,497,721,334,781,362,852,939,024,519,551,247,
851,264,573,659,147,574,050,062,105,064,617,292,914,480,686,504,276,019,498,
744,012,099,859,005,781,033,758,338,401,680,236,517,308,274,954,392,318,506,
390,915,016,330,447,223,246,051,812,063,839,910,325,547,992,085,217,717,516,
766,817,617,892,618,439,535,324,653,824,443,217,524,636,170,889,263,113,866,
701,663,653,674,933,999,343,339,235,777,935,982,109,991,486,609,619,432,330,
079,157,078,464,954,227,570,442,672,563,065,619,294,441,638,990,597,233,318,
556,387,208,769,959,148,971,209,691,328,639,616,611,452,832,440,346,478,963,
700,610,903,711,633,984,092,873,978,602,874,007,956,692,118,776,235,103,542,
754,945,699,589,621,402,795,974,252,446,776,569,023,026,095,756,750,722,184,
491,455,523,338,993,145,987,581,178,400,549,552,067,574,439,799,200,811,739,
512,563,626,361,273,235,464,355,002,642,422,529,001,525,914,179,395,795,292,
418,584,265,015,390,423,948,556,735,005,069,218,174,282,311,019,923,375,630,
718,747,022,516,261,362,615,896,556,211,528,170,614,554,941,595,884,525,724,
325,107,899,527,724,814,026,405,942,236,394,076,767,128,513,402,252,164,172,
980,160,162,332,657,074,912,887,797,518,051,081,308,227,337,664,789,651,237,
403,314,126,173,053,017,743,640,218,525,150,950,186,808,568,106,456,212,728,
882,451,968,645,204,702,814,576,175,488,306,749,224,344,539,794,728,572,336,
460,390,105,372,216,988,672,185,492,642,937,445,888,946,335,515,600,493,381,
921,442,421,156,912,686,678,009,521,683,207,953,934,229,312,403,917,786,116,
973,415,778,697,649,531,126,953,692,323,033,742,092,505,306,638,135,209,212,
728,003,929,246,028,532,255,274,079,760,361,036,806,359,106,653,054,334,444,
183,818,988,058,404,929,849,442,668,101,599,278,021,666,578,060,537,402,677,
099,499,762,135,056,237,904,393,129,967,767,822,266,789,204,714,157,895,118,
025,778,564,909,065,822,857,494,258,112,932,902,932,786,725,739,308,154,510,
909,032,477,332,434,321,650,911,855,642,512,923,178,521,735,327,802,221,635,
953,902,812,934,365,664,168,967,773,898,042,000,522,663,464,866,676,186,253,
990,738,155,884,936,247,877,530,382,859,374,689,481,355,844,487,697,750,229,
252,153,567,433,050,944,867,784,097,847,103,172,781,336,854,794,625,037,275,
254,709,781,528,344,196,552,114,646,811,607,486,872,346,760,950,304,871,218,
871,891,750,934,442,424,306,530,752,408,904,821,507,247,921,032,559,135,571,
703,232,626,818,647,716,853,880,415,004,861,287,859,007,172,173,519,245,568,
685,212,506,017,094,868,454,108,922,098,242,938,431,115,387,187,353,232,972,
934,753,516,414,321,541,780,863,959,293,679,953,690,638,758,945,128,237,240,
280,725,675,386,619,979,634,790,153,961,338,451,999,713,213,722,025,218,506,
439,947,831,406,288,001,816,295,109,226,868,023,010,992,444,625,594,507,973,
771,310,278,081,843,950,364,960,440,434,536,482,427,327,750,740,283,906,341,
644,858,409,779,630,441,026,203,465,755,966,269,066,295,644,631,872,129,840,
308,458,455,762,610,762,242,658,204,159,050,958,026,590,802,424,661,171,107,
123,735,054,160,697,824,407,249,378,252,684,306,942,056,007,578,151,622,002,
396,400,181,949,025,489,896,817,980,040,770,740,558,763,332,680,387,797,046,
958,317,507,758,760,770,168,725,766,835,636,485,525,048,341,944,043,517,743,
612,490,477,111,591,879,536,709,151,750,358,841,469,850,788,072,869,600,189,
482,808,124,492,434,505,947,872,750,834,213,441,498,187,619,854,075,369,186,
371,707,992,506,203,577,317,160,786,989,504,349,705,264,734,209,007,191,749,
636,418,004,104,308,410,323,635,941,775,518,751,734,844,361,700,700,641,841,
350,443,109,876,587,065,309,128,104,747,653,978,535,479,795,528,101,371,740,
225,486,774,974,213,294,003,976,940,445,669,750,061,446,175,418,377,370,631,
978,393,466,721,003,393,766,285,327,415,246,879,224,925,364,439,363,291,792,
950,666,650,717,445,932,139,139,071,846,612,801,304,162,260,442,446,405,289,
666,141,873,824,391,292,230,841,854,491,771,251,965,224,612,375,244,134,459,
772,091,598,035,907,905,700,931,052,406,353,240,596,902,480,450,570,701,734,
065,517,701,793,031,644,481,068,186,280,404,585,926,358,066,119,675,552,804,
835,685,715,744,812,602,715,415,477,446,199,863,314,895,219,564,553,643,522,
944,265,044,150,278,952,256,883,960,133,116,488,954,762,806,045,477,472,730,
816,921,408,938,587,483,582,425,953,734,378,800,631,365,115,512,251,254,401,
486,562,229,093,572,549,769,145,610,618,162,910,198,585,518,542,588,981,932,
363,858,982,824,464,476,423,545,235,951,543,616,125,636,576,195,519,589,069,
988,456,803,283,603,598,776,598,502,112,574,161,108,675,107,832,697,025,238,
648,849,785,909,218,842,293,305,585,426,904,576,805,394,468,829,758,244,144,
159,196,927,258,471,997,509,504,308,467,401,671,049,316,062,267,157,841,594,
937,691,571,672,729,624,871,668,554,002,648,427,496,060,482,189,928,894,710,
417,898,386,695,116,774,400,742,099,826,659,087,034,505,835,282,854,069,167,
092,117,776,375,680,531,890,921,194,400,738,898,438,099,637,827,761,800,353,
620,828,281,041,715,848,374,696,598,611,022,770,448,509,842,976,705,925,299,
470,759,913,630,363,991,778,246,387,805,234,146,897,307,582,476,450,897,906,
064,805,596,310,989,315,736,919,571,913,820,747,294,495,259,552,471,219,298,
816,085,232,423,917,601,519,595,169,065,082,418,505,369,878,952,312,096,785,
891,324,164,155,647,125,448,461,542,565,174,603,470,049,239,954,378,906,660,
685,568,390,909,856,553,117,111,165,987,026,553,827,692,272,748,063,351,658,
358,555,510,641,858,209,138,223,268,816,812,353,794,520,714,101,068,551,035,
733,950,589,720,981,954,565,014,094,409,863,719,093,162,435,422,942,764,258,
420,766,836,375,082,048,972,263,729,036,022,677,720,802,755,752,196,020,904,
815,075,972,964,082,077,889,469,954,004,011,118,842,497,342,030,216,224,555,
400,695,063,233,125,432,833,801,862,439,777,735,930,114,389,971,970,066,577,
960,920,636,148,863,923,869,284,699,783,437,444,653,972,425,320,923,235,615,
719,647,182,774,595,026,550,138,048,980,962,477,486,906,677,658,036,389,686,
498,271,152,135,331,386,406,160,553,309,048,122,309,441,450,708,226,741,222,
365,468,425,309,496,644,156,232,403,557,713,637,445,055,473,180,293,624,163,
348,453,453,710,444,924,936,642,380,532,179,927,532,652,565,734,127,013,815,
662,006,778,779,200,995,226,149,246,184,126,659,045,799,264,165,203,868,004,
289,309,372,859,323,438,847,446,874,808,712,634,262,462,726,692,494,985,801,
734,728,515,561,402,872,716,563,956,185,048,117,876,135,313,554,893,986,978,
115,443,522,038,366,194,557,241,221,019,675,994,052,473,703,455,232,352,118,
893,161,116,436,050,075,328,180,390,725,321,058,087,204,060,974,175,985,554,
486,152,321,868,148,057,148,514,570,046,772,803,471,954,140,639,463,773,856,
804,303,571,134,669,177,442,174,256,578,334,664,583,782,552,910,992,155,258,
828,685,300,198,985,277,996,174,466,151,846,891,212,015,900,712,213,793,089,
802,377,193,017,159,196,893,821,765,939,761,521,799,190,764,112,949,275,917,
571,216,257,118,973,450,233,924,272,112,457,334,053,953,932,178,560,595,184,
745,528,378,681,962,086,930,678,837,763,716,348,427,382,981,232,040,502,450,
279,305,391,269,600,355,309,011,842,273,886,180,046,308,230,301,361,389,616,
341,128,885,371,123,031,127,216,689,880,440,419,328,563,168,404,316,420,719,
358,811,639,102,114,454,093,679,005,423,743,899,198,981,865,959,189,315,215,
118,245,361,743,229,483,789,721,102,025,519,867,670,121,977,384,757,490,728,
409,490,333,881,975,781,314,234,485,964,663,962,645,012,691,317,633,885,204,
854,968,341,321,265,394,444,778,753,993,939,450,213,872,859,354,373,020,903,
356,495,935,616,813,187,313,028,333,952,209,554,494,488,027,359,553,227,018,
556,624,710,280,458,580,720,512,283,514,567,919,239,160,463,937,884,728,133,
055,804,724,401,729,051,257,527,702,076,438,014,140,721,166,628,659,984,967,
630,461,208,647,979,086,442,702,298,251,061,023,091,082,296,069,812,310,347,
832,384,293,409,843,457,225,813,338,930,261,787,058,710,701,702,623,683,137,
058,827,046,258,810,082,524,485,755,865,390,808,851,280,549,434,973,235,258,
783,634,693,951,102,528,533,853,376,499,568,066,165,897,092,035,883,376,004,
847,259,493,975,049,160,493,127,017,095,879,723,462,877,442,781,529,479,173,
283,620,398,975,443,936,799,138,588,033,443,248,876,676,083,677,505,503,007,
289,584,365,117,563,474,300,230,959,248,082,038,887,127,416,469,378,366,490,
144,394,296,776,129,423,575,032,698,817,453,603,399,429,506,601,562,588,587,
941,938,744,670,436,857,626,104,245,375,203,884,090,645,100,711,405,676,698,
674,653,082,639,953,328,742,553,465,370,395,181,437,410,181,386,255,583,018,
139,516,913,080,645,108,855,274,557,348,048,623,710,749,012,612,038,250,117,
459,844,996,315,742,270,194,728,220,170,386,975,425,445,812,014,110,929,763,
832,593,619,824,332,991,596,626,467,414,012,967,308,619,952,407,823,997,593,
454,478,845,561,130,179,305,205,777,786,992,333,857,672,372,144,131,676,817,
902,933,072,717,620,102,021,408,798,253,026,681,479,092,233,289,840,480,451,
478,971,645,552,610,945,370,494,345,189,011,071,103,670,057,180,499,711,084,
005,782,021,150,653,458,270,652,542,718,965,740,552,398,425,865,242,136,415,
903,964,443,195,749,276,461,181,028,782,057,229,962,900,687,970,531,836,683,
426,982,712,884,062,690,543,409,090,525,506,651,463,445,272,518,328,309,215,
192,609,936,645,113,196,569,683,402,133,154,540,889,122,129,267,222,234,527,
295,604,305,268,541,255,869,506,486,308,008,649,204,569,599,171,861,235,627,
630,165,305,186,364,316,599,686,162,891,781,378,561,456,874,173,576,933,709,
722,419,084,605,279,370,708,072,560,043,996,155,002,522,150,421,224,487,308,
488,323,830,724,466,673,600,756,938,277,551,703,856,385,217,372,706,416,162,
374,417,485,206,259,406,300,425,227,912,635,170,303,886,939,026,182,865,913,
350,865,920,094,214,355,916,300,152,224,771,636,753,876,598,747,223,822,343,
988,469,437,125,327,095,755,842,947,287,397,749,243,201,819,521,864,709,813,
926,801,159,100,407,911,411,462,975,151,546,742,514,357,631,147,544,772,662,
759,122,244,361,326,971,678,185,479,676,327,373,335,356,816,916,379,846,346,
078,564,641,214,139,607,701,342,675,036,684,244,530,007,019,396,384,297,650,
910,025,214,179,223,126,925,144,581,330,445,052,042,340,038,155,917,013,042,
467,736,278,655,268,552,063,797,487,946,543,832,994,146,974,872,164,496,966,
760,741,342,139,284,297,136,484,714,448,579,617,079,614,861,653,530,538,809,
786,230,970,147,985,602,355,045,063,250,907,872,079,517,615,723,288,034,114,
056,597,867,136,229,117,856,137,688,756,530,745,512,909,130,461,849,076,730,
765,855,076,636,992,806,584,554,023,931,462,465,315,288,909,848,216,264,680,
752,521,318,766,334,689,712,711,210,856,718,872,010,395,056,307,728,234,091,
631,619,155,494,718,393,365,547,847,333,328,300,138,742,582,167,935,118,233,
047,840,400,903,520,453,885,946,840,416,643,693,917,478,928,690,306,180,261,
414,201,957,932,813,879,750,374,181,913,936,335,768,471,596,196,229,142,977,
361,818,054,362,968,624,869,037,216,991,083,383,333,544,221,321,481,024,096,
078,754,678,617,711,157,078,758,185,276,197,477,086,196,745,521,516,895,847,
681,815,325,726,782,412,305,040,623,567,886,298,586,871,358,559,229,113,759,
472,824,987,000,322,647,861,851,929,207,737,034,040,350,597,106,773,459,148,
772,090,542,078,645,343,514,872,184,669,496,700,087,825,120,618,097,384,888,
169,061,199,925,420,761,103,567,689,838,967,856,490,121,981,694,313,717,042,
329,653,991,852,807,111,160,676,391,782,461,646,429,508,683,400,428,540,943,
364,194,494,871,591,863,244,305,341,859,771,751,448,541,506,511,021,314,391,
438,206,049,640,072,060,132,876,823,049,122,251,704,734,549,583,455,807,536,
598,656,502,509,942,670,540,093,507,433,239,219,926,782,480,224,844,569,945,
635,356,764,295,616,636,151,932,005,993,841,127,640,581,626,023,916,906,473,
902,803,495,264,735,549,039,433,371,293,141,723,770,649,480,104,197,925,990,
088,170,001,328,776,577,458,606,105,893,694,405,881,162,310,833,084,167,997,
258,635,120,984,561,485,512,050,829,119,494,799,050,704,029,658,545,285,747,
873,916,202,762,067,692,288,861,899,729,129,144,403,066,232,179,976,952,900,
811,313,212,482,093,568,150,784,790,282,534,282,196,578,691,849,388,468,493,
904,656,697,426,110,646,048,478,946,224,354,070,220,884,076,776,514,826,686,
636,879,118,507,580,954,616,263,185,410,246,133,231,383,130,990,746,583,300,
458,658,135,359,401,521,849,914,915,470,595,213,440,088,057,856,238,708,935,
568,047,322,887,085,791,742,254,216,124,544,855,384,955,840,447,449,766,471,
875,547,824,503,275,932,149,073,996,048,947,976,768,602,146,989,836,577,603,
669,671,342,080,507,415,197,391,823,523,990,769,992,847,843,463,195,126,740,
033,825,503,443,909,314,362,801,778,934,096,608,421,359,103,968,506,452,224,
311,242,263,464,186,215,844,140,348,345,434,325,534,277,007,336,934,951,046,
694,388,847,934,701,042,230,011,983,405,307,093,672,219,079,576,258,756,163,
833,459,740,023,177,464,368,178,013,308,583,600,702,411,619,863,182,625,022,
045,791,125,989,396,239,787,563,787,540,095,900,109,713,030,080,932,331,029,
619,476,104,923,719,869,793,846,178,361,357,101,067,599,588,345,591,646,815,
384,792,760,161,773,012,906,652,109,629,519,146,619,672,061,027,595,765,714,
045,347,503,151,211,172,513,112,044,551,881,234,125,822,402,810,439,501,429,
483,522,585,517,396,295,814,846,141,109,383,680,771,151,446,749,257,948,492,
890,919,828,781,093,477,881,995,564,122,599,493,961,565,037,767,944,746,547,
784,088,480,619,993,523,629,450,419,347,290,562,087,106,245,210,520,826,554,
565,728,623,824,552,640,706,532,142,709,149,367,474,327,115,115,020,964,854,
262,057,700,481,043,301,890,581,813,311,138,807,126,667,837,286,674,434,531,
623,788,888,364,300,777,372,340,506,322,300,848,011,451,311,804,933,423,240,
434,754,218,077,682,275,878,699,818,302,388,125,047,530,246,918,655,531,406,
237,308,173,815,539,096,296,494,896,475,119,273,647,690,565,513,606,960,738,
807,621,186,815,222,047,932,713,218,049,835,665,816,099,026,258,496,947,575,
537,000,817,304,344,722,206,787,556,540,549,317,174,834,253,627,461,582,532,
698,944,069,276,313,727,044,860,282,334,791,844,704,871,130,093,313,977,397,
331,125,477,435,183,420,090,973,143,706,165,546,809,996,848,173,591,733,695,
847,648,464,101,554,728,488,577,319,187,407,257,102,767,399,927,235,728,355,
501,303,413,197,822,756,221,410,135,002,581,754,135,567,753,510,446,571,395,
940,073,391,736,537,392,806,805,620,389,682,111,029,623,286,076,562,077,808,
164,523,034,469,697,435,669,192,263,145,255,539,901,975,551,802,976,927,838,
815,818,740,936,966,041,269,617,287,655,336,111,705,845,702,336,462,557,905,
124,112,336,220,919,456,236,160,244,741,199,824,436,776,424,265,139,524,395,
190,203,065,748,988,057,417,582,540,725,561,696,874,316,539,293,048,175,791,
392,107,062,306,015,026,291,698,904,231,619,566,297,912,414,548,828,343,537,
879,677,232,031,369,309,509,736,547,075,059,028,908,356,611,874,798,684,577,
025,694,039,680,805,438,383,974,823,608,425,819,852,478,194,165,034,829,350,
212,227,139,022,001,479,650,702,149,724,635,638,500,602,402,846,220,279,998,
066,293,866,159,254,145,610,242,531,684,001,100,550,368,953,340,343,903,439,
401,986,413,051,656,144,518,009,118,799,385,485,154,846,355,550,434,854,739,
908,969,260,795,250,240,173,039,835,648,658,121,941,862,482,226,821,035,695,
669,394,987,567,071,486,477,665,160,245,054,125,674,821,157,309,525,877,319,
577,539,066,168,081,546,040,694,944,743,776,825,320,783,017,746,177,465,221,
529,729,960,027,721,451,379,140,359,818,985,909,581,240,507,384,646,447,612,
109,695,238,811,849,533,461,622,690,018,289,111,893,257,228,966,675,828,727,
292,464,932,746,147,603,533,781,118,516,167,243,408,017,768,492,351,067,731,
921,748,640,824,736,065,041,115,864,816,253,736,781,803,716,611,477,790,715,
783,256,237,699,907,255,059,047,000,830,177,491,011,766,059,951,512,748,602,
729,321,207,460,866,874,166,748,825,721,602,983,396,022,606,030,006,132,116,
659,376,655,467,746,724,774,628,042,692,106,801,212,943,988,570,028,052,902,
495,933,787,721,528,907,968,576,136,005,847,629,672,892,696,117,023,257,537,
229,183,708,848,402,794,702,217,770,865,110,079,711,355,562,618,967,178,474,
729,963,914,598,152,992,491,807,926,268,171,703,832,203,491,333,041,485,478,
340,551,014,672,650,315,305,002,714,856,236,463,108,606,382,367,054,386,409,
136,594,609,017,134,582,380,010,086,747,014,727,992,358,138,637,875,600,328,
144,153,671,056,769,335,993,008,889,066,699,648,791,382,059,501,621,569,005,
567,420,523,743,347,209,960,282,479,978,611,387,086,231,366,254,262,369,401,
542,427,467,995,001,087,492,112,631,115,458,385,817,712,933,511,433,367,255,
260,422,144,962,709,319,701,690,583,857,368,030,299,822,695,630,343,385,147,
258,218,960,146,343,943,915,627,149,838,121,054,557,612,308,354,374,699,528,
294,261,244,628,333,325,372,637,675,559,347,872,801,494,282,857,451,903,936,
927,779,034,854,573,368,916,634,782,440,332,850,329,774,908,350,303,627,018,
464,229,320,221,111,141,163,494,295,132,162,786,049,795,517,451,435,364,255,
867,430,190,342,501,995,057,479,148,604,588,687,149,160,629,765,571,839,040,
501,985,333,227,236,561,920,478,671,929,142,293,642,807,535,809,048,716,692,
676,823,328,569,432,859,188,561,576,474,643,166,594,279,950,381,526,713,494,
780,638,207,851,983,794,896,413,985,902,367,525,758,132,558,273,459,403,163,
374,586,255,463,550,463,232,989,253,276,943,095,234,574,591,226,522,184,420,
025,264,092,483,270,536,885,576,349,367,998,885,645,242,694,365,448,846,483,
938,669,379,926,760,515,105,620,656,608,044,512,130,883,165,756,438,301,369,
703,281,738,925,193,916,104,126,998,256,076,716,378,452,783,647,838,868,672,
746,497,131,473,520,517,560,087,709,626,149,076,854,722,583,256,396,139,440,
622,070,479,184,720,800,152,554,011,382,775,935,548,116,675,800,694,752,939,
114,216,617,205,417,167,125,100,798,938,836,979,309,700,289,717,877,868,463,
752,512,205,632,898,501,326,586,508,128,127,215,143,283,330,511,029,162,749,
488,381,025,679,717,082,529,916,114,510,483,534,713,248,218,084,386,419,260,
290,350,720,627,098,143,949,280,671,445,148,021,603,438,897,614,449,119,616,
639,030,580,330,726,732,277,819,624,902,570,670,360,799,025,246,727,146,557,
446,415,993,849,519,963,163,486,272,349,446,418,152,165,472,560,850,792,502,
126,878,392,627,180,456,648,799,390,853,551,553,000,378,341,274,672,870,169,
463,487,057,969,650,821,153,767,731,902,023,180,358,002,166,832,073,600,304,
790,581,259,687,578,100,889,995,301,693,875,026,014,662,322,861,326,511,120,
155,801,650,465,200,070,251,004,485,967,982,023,614,407,909,634,766,251,097,
230,377,066,498,902,373,677,792,659,795,022,185,030,404,144,225,034,153,437,
601,725,270,754,810,295,382,595,073,488,785,878,409,638,894,341,158,708,848,
640,980,664,088,826,803,985,963,348,064,798,100,537,243,671,476,353,306,779,
630,357,382,461,229,531,505,998,289,907,449,728,561,716,089,774,503,671,751,
255,616,263,543,850,757,948,138,701,530,220,034,992,876,200,585,003,247,883,
435,163,071,012,188,834,703,945,991,065,562,389,659,261,356,040,362,682,517,
192,363,034,798,118,600,541,640,618,252,118,438,984,549,390,920,414,982,044,
757,900,173,576,762,989,368,800,906,742,740,352,499,176,767,306,826,151,907,
558,465,134,718,469,236,480,596,452,299,940,983,719,180,419,984,985,425,640,
830,674,921,007,404,600,001,069,767,001,052,609,975,438,284,457,679,905,615,
653,186,004,115,847,093,511,628,076,527,768,186,598,572,480,922,459,778,508,
587,474,220,502,269,806,783,951,971,258,227,193,934,016,751,106,094,364,410,
291,216,528,315,941,609,031,944,658,799,697,974,293,717,952,703,040,606,472,
456,470,785,049,070,838,305,026,787,949,978,338,552,763,595,473,299,554,755,
727,872,922,123,957,873,787,064,324,395,870,981,922,001,559,822,363,821,182,
329,634,171,651,670,937,393,014,659,004,452,493,688,254,456,783,106,887,208,
456,697,996,006,888,405,373,200,282,814,486,251,058,855,817,020,234,865,853,
972,820,887,509,335,905,946,416,746,805,264,794,362,893,146,409,889,601,755,
734,578,704,866,284,351,542,417,287,271,121,370,523,819,791,140,887,952,450,
181,500,689,192,677,828,850,415,555,610,654,226,358,678,481,626,411,923,838,
716,476,112,222,606,775,164,783,905,431,934,429,751,845,142,716,017,326,421,
214,206,802,874,467,483,590,558,683,788,590,554,143,917,540,251,883,987,057,
931,630,913,713,814,509,347,635,102,141,124,885,265,059,305,361,114,539,151,
780,534,250,642,772,565,316,282,486,244,132,307,792,707,641,840,713,740,968,
246,444,290,648,485,013,139,767,134,546,227,814,900,848,975,368,480,181,420,
165,104,194,825,634,774,626,798,758,386,172,945,695,786,861,865,838,072,151,
110,375,293,095,367,941,990,776,718,502,828,403,963,364,173,824,341,308,611,
563,324,504,569,342,438,422,579,503,656,884,001,848,427,588,605,006,034,450,
539,305,537,465,460,494,552,299,805,515,378,334,424,168,893,431,029,166,982,
744,260,339,729,117,039,638,850,424,416,308,518,209,637,917,452,459,912,236,
929,775,812,559,304,853,775,818,346,753,160,237,343,791,434,953,992,429,657,
938,345,523,011,631,897,902,416,278,831,944,487,742,736,553,777,118,750,627,
614,887,645,179,953,599,426,231,731,460,269,073,027,466,193,422,009,891,540,
954,188,295,808,147,439,653,291,487,803,190,126,354,794,161,115,982,580,460,
952,267,865,347,025,168,152,613,206,248,505,799,959,714,207,651,959,420,886,
962,465,746,318,346,521,630,945,535,883,424,881,759,326,515,998,080,903,741,
487,585,698,073,800,137,104,253,152,391,807,723,822,001,963,154,470,999,771,
962,128,861,251,630,185,627,683,672,512,153,954,085,031,481,388,533,887,974,
757,183,735,432,564,636,224,197,135,241,490,762,227,239,797,245,020,578,709,
360,390,002,692,901,359,991,535,646,261,123,221,850,482,122,411,257,316,881,
241,110,564,823,334,395,257,237,462,623,376,644,730,171,354,429,481,945,267,
570,479,882,948,601,786,563,033,852,957,695,077,187,444,468,346,995,707,615,
823,087,356,028,510,847,406,476,173,928,550,706,871,857,171,941,083,077,771,
130,197,768,438,269,636,347,212,280,679,981,802,847,044,711,312,840,145,214,
413,545,345,260,809,548,919,801,825,252,134,910,091,334,028,723,274,229,184,
602,530,851,074,465,449,470,461,216,161,529,823,308,544,500,114,911,941,878,
289,750,805,695,486,022,559,016,055,728,705,383,718,904,798,395,966,673,058,
713,265,356,524,888,596,666,348,145,153,443,357,743,003,938,758,671,306,567,
276,670,062,814,451,541,979,746,038,980,528,189,617,081,168,471,563,972,077,
382,569,180,006,695,497,247,091,055,052,889,668,596,668,691,588,419,720,006,
873,615,752,456,543,157,834,694,797,150,844,804,740,943,271,240,186,000,268,
687,245,962,667,154,318,635,485,746,869,278,221,265,475,653,066,775,700,178,
157,637,311,194,335,770,786,440,369,923,692,683,374,787,883,769,950,901,838,
375,894,627,646,705,397,827,994,823,507,710,002,045,545,930,480,076,890,284,
502,545,212,669,757,719,161,189,133,632,398,529,358,353,531,975,596,684,252,
527,289,889,677,975,176,800,807,196,987,719,987,325,624,333,884,356,688,428,
306,113,704,780,212,785,227,412,709,382,275,182,659,103,890,480,117,327,542,
862,749,157,127,750,576,850,519,668,337,618,629,359,646,710,408,341,915,226,
713,739,057,330,074,651,226,203,387,950,594,421,591,637,234,405,495,919,860,
404,660,205,158,824,445,822,697,933,646,079,050,314,242,380,504,532,405,447,
803,023,405,331,308,067,336,767,637,135,121,486,905,476,414,796,898,812,697,
724,699,557,196,831,967,394,385,342,311,687,667,056,461,122,083,544,432,913,
035,374,221,275,827,687,144,475,390,847,680,100,753,118,446,184,076,446,919,
733,090,065,346,664,263,016,245,200,638,632,211,202,953,052,009,341,177,532,
974,988,954,825,228,199,738,330,028,167,109,182,510,640,592,197,105,667,845,
652,622,082,428,791,127,889,017,816,539,929,865,108,005,994,161,868,357,663,
936,095,422,169,960,172,723,192,147,391,230,067,240,993,003,186,255,788,697,
220,481,573,537,081,430,211,056,623,118,850,472,850,748,502,508,463,083,953,
973,214,115,046,187,006,675,732,913,349,320,014,550,031,880,655,675,237,898,
778,272,416,385,748,726,737,809,189,543,908,197,726,836,213,098,519,022,144,
081,361,937,331,803,713,708,623,606,172,927,529,197,650,874,865,593,724,211,
631,090,251,688,697,744,917,818,074,364,315,814,517,455,683,921,785,212,029,
092,403,892,941,771,098,894,390,341,809,019,371,075,913,141,139,399,025,459,
053,714,515,952,362,436,290,092,071,343,665,057,696,341,706,415,155,956,895,
060,941,973,529,179,865,721,706,024,344,350,795,765,653,181,810,703,239,514,
758,120,740,995,874,731,998,978,831,630,208,596,404,298,894,537,298,557,653,
895,463,341,720,759,233,654,402,966,008,534,344,626,461,655,724,007,418,440,
485,518,814,766,803,209,295,718,440,414,081,724,599,863,427,651,531,547,218,
304,961,571,912,361,723,538,725,486,214,265,901,415,228,608,009,315,325,769,
199,192,514,552,251,011,405,373,706,624,695,391,826,592,564,492,306,598,805,
013,489,553,928,373,369,837,425,309,349,842,419,195,470,157,271,448,434,335,
907,475,273,975,747,617,754,094,580,410,346,362,697,685,415,495,350,198,991,
424,829,010,703,865,758,751,623,569,375,624,587,026,089,215,516,912,227,439,
725,859,686,284,389,470,054,372,702,905,811,486,121,461,829,283,092,041,496,
354,403,450,330,545,658,336,600,576,371,211,928,068,512,965,872,687,021,847,
743,337,299,636,902,942,535,217,687,537,273,565,052,364,877,946,622,746,162,
732,052,163,287,483,743,510,000,628,016,058,387,636,941,095,073,544,938,640,
070,372,096,181,296,158,955,881,549,782,141,330,040,415,575,477,421,039,642,
355,562,337,666,281,359,267,090,397,086,300,799,319,150,658,114,477,051,445,
356,795,915,561,475,158,062,556,550,227,214,944,002,180,706,113,764,682,101,
342,774,957,340,339,840,888,481,391,738,694,898,240,315,395,707,171,175,809,
382,714,339,661,201,084,849,878,684,884,603,236,871,810,809,096,652,343,684,
959,829,655,757,665,659,184,256,647,781,473,307,593,787,379,815,012,598,582,
902,997,344,724,766,141,752,320,786,236,974,322,234,922,609,524,544,268,050,
068,442,309,421,187,056,735,875,381,441,883,930,836,531,824,562,784,196,975,
623,986,044,026,991,795,806,551,367,891,080,531,766,727,930,998,065,406,254,
096,439,090,025,322,086,859,584,552,643,892,211,974,395,675,345,858,828,276,
541,618,385,695,503,974,232,541,855,896,291,018,459,289,741,395,111,723,947,
381,955,197,369,834,438,897,813,730,323,610,563,616,120,103,852,340,357,238,
500,322,957,826,555,757,610,408,610,760,066,564,685,302,190,022,759,290,336,
513,157,438,779,345,625,249,635,678,268,066,930,351,039,058,791,698,650,958,
444,898,416,719,698,003,075,166,533,436,449,795,626,916,932,498,409,881,105,
913,796,573,730,853,015,876,356,117,974,124,299,335,026,062,313,921,057,540,
690,684,344,530,348,168,680,940,065,599,498,414,945,477,070,469,654,751,324,
870,114,939,792,453,232,482,776,131,147,159,930,097,095,912,949,027,466,439,
865,513,288,384,154,915,391,456,505,810,382,230,590,339,001,983,371,559,001,
833,160,883,972,214,500,379,467,907,276,744,480,712,648,757,409,407,254,044,
257,522,462,544,968,168,132,293,702,721,561,113,056,852,440,025,998,820,249,
798,514,146,826,596,102,230,729,961,875,081,728,231,238,348,044,612,156,668,
677,369,444,009,712,352,057,054,037,920,876,460,219,569,804,178,473,080,649,
279,779,680,483,327,365,103,555,059,430,118,625,877,100,066,301,342,653,720,
351,789,581,193,459,608,471,233,968,081,102,198,948,684,884,154,433,705,174,
748,648,444,929,167,671,584,851,287,182,774,099,042,153,117,564,906,226,657,
781,999,581,002,021,423,161,626,059,786,513,260,668,779,693,195,861,471,213,
055,355,947,488,708,259,693,314,324,169,240,457,487,917,215,288,321,835,488,
109,831,871,270,436,855,340,285,088,534,702,588,854,844,927,223,160,663,634,
536,040,953,004,734,750,859,250,634,089,887,340,279,587,987,672,408,002,415,
621,557,079,521,611,672,938,832,644,694,104,825,643,654,602,083,003,813,087,
325,723,141,048,732,332,363,776,060,692,075,614,810,572,971,887,393,668,513,
186,986,699,176,118,297,810,845,480,893,107,770,208,525,239,527,452,256,951,
980,167,749,670,572,586,053,115,086,037,160,901,018,666,707,941,225,271,046,
044,276,979,356,259,014,233,851,052,598,469,922,294,446,646,560,935,455,466,
331,020,894,019,458,077,507,849,816,824,676,121,244,109,383,047,399,321,185,
214,015,963,949,488,081,507,799,658,069,544,500,987,038,662,905,884,488,504,
447,144,648,228,820,919,050,261,684,222,244,619,879,048,860,386,740,283,743,
954,603,744,267,021,108,277,130,591,079,155,321,543,009,552,968,916,047,544,
242,859,910,798,824,657,140,395,904,931,815,538,992,900,883,203,520,925,399,
394,957,350,482,664,153,903,831,014,055,044,553,008,292,136,378,689,797,247,
627,145,080,612,266,841,022,941,098,589,389,286,429,216,635,554,599,540,716,
595,855,910,771,649,300,279,408,776,405,803,713,730,829,060,827,056,306,008,
912,137,791,334,766,673,412,075,428,585,142,920,958,495,668,190,136,418,478,
341,031,913,165,720,026,314,362,090,780,252,148,455,673,580,468,903,208,304,
161,780,725,079,122,542,309,378,952,458,364,824,320,551,716,345,645,236,309,
042,660,595,684,813,414,060,092,028,962,789,746,731,555,437,604,706,117,083,
592,964,837,030,471,031,511,790,669,630,635,088,093,469,765,980,895,723,513,
717,377,930,590,938,329,224,126,328,614,115,015,353,593,445,241,521,649,622,
485,797,372,899,324,842,149,374,037,307,142,517,686,744,798,033,359,044,301,
055,745,675,932,842,665,479,430,504,482,457,905,498,406,856,231,201,076,964,
713,025,293,185,389,133,385,198,930,821,999,895,277,734,109,157,625,015,014,
634,593,538,881,275,710,004,795,445,106,857,072,191,300,587,229,318,619,330,
188,962,076,267,262,970,192,147,902,289,364,073,178,243,467,977,494,410,056,
289,546,053,919,909,295,112,275,715,616,934,301,039,163,755,596,848,715,981,
585,690,772,092,163,317,403,941,005,502,689,499,255,831,020,122,197,359,940,
323,454,030,393,755,032,129,031,767,177,668,220,789,990,303,949,310,014,485,
709,140,882,226,106,239,542,962,105,524,573,688,751,654,388,691,989,554,643,
579,654,461,651,965,490,928,539,180,005,363,213,914,572,839,873,996,010,214,
717,689,929,544,298,985,315,824,454,263,470,161,863,026,671,564,781,258,156,
048,436,418,965,766,995,227,877,123,320,244,339,830,967,202,303,662,113,123,
971,095,500,343,355,143,912,184,657,104,601,910,347,151,668,773,394,533,118,
718,096,688,096,927,849,875,526,077,461,438,600,340,825,830,548,363,272,976,
672,354,008,377,342,822,046,036,468,853,461,709,080,448,273,465,889,916,811,
835,774,314,070,435,701,604,195,898,186,872,134,992,391,695,507,300,186,203,
014,927,012,347,177,754,966,368,895,322,674,749,849,237,601,931,960,480,928,
312,423,619,649,119,369,026,667,932,491,393,439,890,055,002,211,051,807,871,
665,461,000,099,647,629,570,409,797,356,693,582,541,741,055,967,309,765,928,
975,622,026,854,618,209,309,189,710,256,608,246,111,288,524,355,906,329,421,
261,720,692,531,630,699,540,965,556,276,496,548,420,018,381,307,222,499,216,
057,021,898,361,686,608,827,452,139,818,758,877,372,467,025,982,945,099,117,
007,080,860,536,201,658,610,886,626,290,633,150,204,102,511,512,795,969,250,
029,932,648,733,406,689,320,769,195,617,368,776,257,537,383,907,079,862,005,
980,666,103,475,018,827,834,350,706,608,730,814,766,620,096,691,136,663,341,
536,206,449,840,689,454,963,251,149,244,600,165,148,120,802,383,181,857,542,
369,785,737,935,075,907,737,266,063,588,577,670,603,616,578,507,250,294,943,
785,663,293,270,495,293,580,896,285,735,711,490,581,242,923,243,509,543,575,
136,905,093,911,874,934,943,616,654,916,251,414,870,855,708,696,026,696,195,
538,955,938,880,694,760,020,271,969,642,629,389,082,508,822,874,782,332,018,
300,030,713,224,931,998,895,546,859,430,479,776,150,774,090,536,451,142,127,
217,697,852,846,576,097,778,801,550,352,237,144,373,651,953,446,992,510,685,
214,526,054,778,419,793,032,936,652,106,241,967,997,510,280,545,623,528,801,
363,510,020,605,030,013,367,899,991,159,687,331,197,846,874,941,251,029,545,
665,243,383,387,141,502,524,352,054,664,285,515,638,185,411,728,394,438,492,
939,711,862,396,160,670,827,747,225,165,344,851,389,741,625,781,640,467,485,
363,511,370,394,493,743,059,916,563,927,532,852,276,218,096,412,271,706,063,
245,617,621,607,762,170,413,921,875,367,800,129,778,866,222,716,733,288,354,
675,848,060,861,798,401,434,638,144,284,306,518,557,310,656,929,847,858,495,
853,903,240,197,504,345,269,384,565,111,935,235,773,491,729,855,910,586,612,
828,161,640,341,437,384,695,844,756,122,267,356,446,169,665,133,689,696,888,
897,032,173,803,630,664,077,427,711,769,049,500,592,178,593,743,280,347,056,
109,351,386,135,891,764,259,636,392,045,231,347,411,056,821,619,623,016,001,
002,297,716,423,929,118,842,436,705,004,897,591,637,763,835,249,789,277,911,
650,410,832,588,891,418,695,096,766,533,891,472,120,082,432,195,369,182,545,
527,088,423,572,869,516,008,355,475,600,528,540,051,283,481,353,956,267,446,
760,118,120,884,499,018,531,191,754,582,180,716,362,629,038,626,042,580,842,
553,643,734,908,444,214,098,730,610,302,969,985,293,036,666,481,885,901,290,
803,160,978,872,527,342,525,620,531,964,169,797,718,104,356,379,997,801,948,
539,948,286,650,928,221,703,822,305,918,690,593,539,082,509,818,028,861,182,
635,783,654,006,099,597,766,903,353,192,967,432,560,961,616,993,017,105,316,
384,092,951,088,907,922,271,472,493,106,774,030,943,979,780,256,249,374,420,
450,659,175,889,257,940,978,016,559,042,052,882,327,624,888,464,391,630,754,
194,264,968,822,354,283,751,638,740,409,781,579,519,334,690,283,307,704,669,
776,318,620,237,056,210,043,822,893,808,771,952,362,703,587,211,020,299,727,
860,986,763,851,397,958,556,860,314,241,037,875,522,312,424,396,337,874,191,
843,966,845,507,113,617,391,200,477,972,382,792,238,500,282,812,029,039,879,
890,048,245,654,974,053,453,634,015,353,638,473,722,971,608,441,158,034,098,
042,246,538,993,832,765,863,241,376,358,567,377,366,145,211,604,324,559,124,
666,004,478,761,761,667,244,468,145,063,803,749,201,701,224,279,061,077,028,
780,323,030,270,262,002,514,104,732,576,287,603,788,813,411,599,484,904,963,
667,138,872,405,961,474,982,015,857,902,317,065,868,942,642,106,820,254,843,
320,514,599,002,995,530,660,426,970,544,883,534,065,016,137,142,836,114,743,
073,579,803,204,575,638,481,832,340,581,354,206,745,899,872,132,527,413,247,
479,555,110,025,779,810,323,824,535,412,181,256,901,060,406,996,863,434,691,
196,222,021,507,842,156,928,642,889,584,998,455,257,680,245,302,245,898,306,
280,144,742,623,661,351,840,922,434,790,885,848,172,357,248,528,135,516,465,
405,654,259,997,344,712,179,306,711,125,973,878,200,234,246,821,964,720,936,
668,191,977,957,476,776,666,452,997,371,855,607,791,698,037,003,325,540,221,
399,047,461,515,263,409,518,116,211,017,628,848,881,677,428,560,617,990,463,
966,797,505,583,424,311,030,608,987,604,775,651,788,624,062,144,523,222,330,
514,681,124,575,477,546,962,253,949,685,659,323,485,165,161,691,048,615,456,
698,627,279,182,367,395,907,923,526,290,704,255,704,695,168,140,687,226,630,
274,404,493,861,790,074,886,961,798,310,521,395,825,301,083,622,309,289,717,
837,604,506,095,589,739,792,925,838,921,752,421,995,211,955,011,553,218,938,
747,621,418,565,654,058,334,464,553,718,750,089,518,273,248,625,738,456,755,
418,498,409,996,173,411,466,813,082,770,832,519,891,358,854,499,775,544,474,
204,458,772,315,931,893,786,821,756,844,393,933,115,891,317,386,481,368,887,
664,054,370,074,733,577,095,817,885,760,300,478,189,026,173,937,797,284,612,
135,232,255,102,159,436,936,088,269,053,359,025,300,079,607,941,827,671,873,
211,777,124,494,923,468,748,076,112,046,146,190,499,271,092,873,438,488,292,
188,880,102,994,629,694,838,876,293,246,826,572,425,798,107,411,646,449,479,
320,108,301,425,598,080,900,890,107,853,102,232,451,176,861,384,350,518,048,
431,476,988,813,268,368,742,277,734,060,264,159,133,479,719,908,599,232,366,
128,472,872,169,475,005,124,021,469,597,791,941,675,965,761,949,696,273,311,
857,741,482,846,275,107,709,493,652,815,088,901,233,068,949,143,854,858,880,
667,323,105,641,353,364,039,809,273,013,326,389,726,376,941,395,844,887,714,
567,812,997,301,188,378,646,735,308,198,855,254,682,248,870,830,656,510,060,
718,004,557,348,810,889,509,637,778,623,991,000,715,763,420,662,844,616,498,
379,600,766,536,798,548,141,634,280,783,584,922,193,089,588,035,592,623,980,
282,001,217,635,253,614,929,981,759,302,824,090,878,509,418,848,615,965,123,
111,174,623,327,901,920,070,401,776,563,617,729,845,137,485,444,259,880,865,
866,301,566,294,177,896,174,620,482,699,839,787,268,530,895,830,327,334,133,
594,946,306,579,720,532,942,868,567,727,259,508,541,977,498,378,250,578,142,
470,234,476,125,351,136,945,808,914,207,388,111,359,968,919,987,699,299,146,
328,008,206,027,018,565,212,436,930,822,989,272,097,316,894,332,276,172,427,
299,517,162,484,682,324,644,019,514,974,554,656,211,298,221,795,387,322,630,
199,246,722,553,424,058,224,680,662,257,381,788,338,374,229,562,514,966,691,
997,996,220,731,636,026,443,123,024,897,275,904,167,019,526,315,038,337,891,
443,616,823,723,806,506,459,321,138,167,586,879,182,756,672,635,044,282,679,
372,710,654,108,078,186,291,220,043,399,281,334,520,338,161,027,609,453,457,
673,689,741,485,334,347,856,113,339,898,315,862,491,500,452,335,250,218,626,
133,943,735,829,573,458,691,414,465,196,217,329,111,934,075,390,272,966,234,
886,257,651,288,624,357,211,597,040,482,038,801,024,877,896,578,797,047,730,
319,062,643,143,429,002,919,400,562,393,979,138,942,525,482,298,029,491,000,
623,136,714,903,746,423,471,991,068,807,647,175,792,470,905,193,488,985,370,
174,300,622,469,051,229,403,668,173,789,669,284,529,987,222,737,974,520,072,
668,354,307,896,296,842,935,277,195,221,263,531,044,258,321,548,097,723,389,
677,817,567,278,685,020,536,247,876,408,322,629,716,196,980,611,448,783,923,
273,640,436,326,973,991,867,731,990,074,503,948,364,509,443,205,171,261,121,
582,939,881,488,933,192,901,807,647,115,284,514,290,727,484,966,591,072,118,
336,767,696,416,893,922,030,209,446,585,757,192,259,991,795,402,496,000,048,
313,714,025,056,256,597,291,421,792,685,952,154,254,716,686,833,181,223,847,
826,017,210,759,599,554,416,817,351,435,927,016,026,731,403,972,183,317,417,
189,319,734,987,839,186,551,272,767,733,830,904,289,441,594,465,027,307,826,
685,517,407,322,988,728,408,368,022,838,795,279,680,055,729,525,434,987,562,
943,920,810,120,544,039,001,025,273,816,189,361,703,598,104,310,276,092,401,
440,438,065,222,498,966,475,977,141,670,321,887,995,719,939,852,385,713,086,
536,502,085,438,915,539,488,173,137,132,352,842,299,742,103,410,225,097,387,
804,144,585,582,331,993,108,040,990,654,254,009,775,647,969,285,074,544,757,
764,162,347,710,963,540,430,873,461,689,961,216,658,589,674,415,475,232,686,
512,406,190,644,491,037,414,144,872,901,175,708,185,164,270,990,779,190,429,
976,004,553,079,905,300,851,631,894,483,430,599,716,900,478,911,492,786,305,
065,629,709,020,738,489,441,316,624,007,817,501,510,466,701,043,360,278,010,
002,420,660,397,206,403,501,637,369,048,863,624,886,692,635,418,917,354,971,
760,638,510,928,486,710,407,787,212,774,266,034,889,346,612,054,479,649,547,
712,770,538,451,726,097,105,918,834,400,030,036,971,093,399,597,343,833,507,
717,536,980,963,882,430,405,889,603,127,382,200,839,468,582,598,650,291,762,
164,994,024,342,027,917,261,355,945,027,461,686,025,700,492,746,110,011,969,
378,984,967,326,663,498,752,395,228,738,895,271,142,647,401,998,241,225,369,
786,360,194,745,035,525,800,888,725,549,210,516,804,248,047,504,912,933,642,
124,641,707,605,790,923,509,201,872,646,144,672,948,201,713,943,946,781,993,
116,203,870,650,477,496,985,494,609,657,446,092,291,648,185,839,982,730,383,
036,319,416,173,930,840,209,745,484,019,181,301,800,592,544,720,818,538,071,
563,760,663,146,548,645,988,394,069,045,234,133,851,580,334,221,919,638,950,
290,840,667,033,923,369,378,709,446,963,962,486,958,325,013,645,948,300,512,
544,529,571,193,340,751,319,128,823,759,891,648,820,835,830,599,304,220,375,
741,745,491,523,502,397,657,636,509,402,944,964,130,898,693,492,665,393,192,
452,356,977,318,350,026,978,418,242,712,084,558,746,212,125,322,882,983,089,
010,318,595,271,076,246,295,931,953,007,354,743,212,282,247,328,528,903,979,
846,182,504,788,565,630,204,481,154,634,176,293,424,791,776,068,636,981,407,
247,951,332,783,551,050,590,341,070,729,953,329,676,426,551,126,434,028,455,
475,904,877,935,345,181,655,494,036,153,367,378,340,423,600,929,676,055,396,
353,934,746,797,109,657,471,694,513,512,942,384,451,618,821,323,951,608,939,
781,401,018,598,983,043,549,021,258,907,191,313,215,878,861,564,288,923,470,
715,144,707,184,872,609,159,529,636,155,158,724,788,747,609,986,408,477,272,
315,027,933,274,294,723,250,566,145,261,786,132,015,648,658,837,490,185,320,
205,244,608,841,377,361,771,914,423,979,443,239,818,677,433,138,339,665,169,
404,826,983,623,926,630,107,268,070,784,944,819,927,684,578,455,682,537,934,
334,692,085,886,637,397,829,070,137,864,755,853,784,284,979,249,530,817,735,
882,099,581,939,307,118,098,477,341,216,212,940,829,541,549,136,519,296,431,
299,948,919,552,201,138,974,094,110,763,558,947,715,526,383,120,458,107,848,
011,545,112,773,095,268,871,837,153,492,993,192,684,469,381,073,958,249,451,
341,388,225,977,468,699,827,053,252,740,089,234,701,796,709,229,196,070,053,
303,280,702,475,031,809,720,780,692,031,538,037,524,574,769,965,835,302,283,
689,948,813,801,790,206,979,549,856,203,928,111,686,565,651,917,226,285,356,
647,147,153,860,420,530,634,393,889,355,827,441,917,779,282,501,398,845,572,
070,139,441,398,469,780,258,755,834,628,883,148,902,582,382,650,201,001,018,
438,840,487,817,008,618,627,178,648,792,423,326,897,951,274,113,473,400,102,
679,590,102,520,022,890,776,591,470,350,946,528,741,945,564,006,510,187,386,
362,623,853,963,958,924,321,421,781,097,844,401,228,914,832,367,182,226,344,
691,546,851,583,200,164,827,345,932,503,891,667,805,247,722,400,394,207,289,
664,469,588,637,958,867,597,455,565,401,985,611,950,803,708,354,273,513,599,
373,547,031,160,206,586,006,534,529,331,198,680,876,817,557,322,667,469,788,
827,032,367,605,722,167,294,242,548,528,786,432,014,051,234,533,401,125,222,
659,631,694,007,374,087,835,399,487,267,919,665,783,177,210,567,928,092,769,
291,506,085,360,912,722,781,029,285,678,038,389,471,952,376,309,493,562,586,
657,239,355,567,109,799,137,166,687,432,857,768,946,151,105,528,587,457,426,
297,168,407,381,793,989,053,521,944,296,996,368,718,716,687,605,770,962,985,
647,454,123,873,498,100,349,627,251,197,890,253,364,720,285,003,517,497,012,
371,347,590,560,422,791,948,080,901,138,869,785,802,405,183,786,213,746,781,
149,683,158,813,406,531,306,702,508,423,092,812,306,196,965,134,749,981,136,
752,952,130,337,977,453,444,389,441,369,535,289,141,844,779,803,618,477,558,
025,714,967,923,893,351,140,455,947,437,615,150,574,075,369,601,792,430,821,
529,765,422,928,354,819,038,821,745,971,807,521,689,381,419,908,682,292,428,
005,869,937,348,642,299,510,447,520,578,602,908,954,147,786,898,866,285,669,
086,096,118,054,792,892,210,959,292,394,639,105,591,723,349,021,084,349,505,
638,552,166,550,822,474,445,612,451,537,166,373,832,925,559,591,094,243,543,
151,147,842,554,952,628,387,186,872,159,547,079,257,940,375,071,482,592,272,
188,090,162,855,016,521,353,634,565,050,046,333,729,715,590,876,865,418,611,
407,138,111,256,198,901,316,457,417,699,382,743,495,883,994,506,545,346,706,
728,907,167,887,491,374,919,641,777,995,234,833,524,790,197,403,438,780,403,
033,947,698,185,287,138,861,883,696,087,457,875,220,184,655,469,264,181,845,
104,188,776,763,428,478,872,059,301,892,215,318,720,956,944,679,775,360,483,
350,246,620,111,721,933,424,615,321,913,826,762,220,813,322,310,346,701,146,
549,112,947,423,184,826,741,763,642,483,013,660,090,940,364,194,327,618,862,
070,342,193,943,544,078,786,299,558,925,797,476,743,440,492,509,349,784,718,
883,620,578,675,256,472,551,315,740,621,446,203,737,953,672,042,263,845,720,
419,801,500,919,446,402,179,298,263,646,274,943,173,174,704,751,515,268,534,
566,949,568,242,619,745,178,365,533,277,334,185,174,735,228,133,227,849,649,
546,757,249,205,309,546,517,494,105,544,576,568,015,917,675,130,207,216,524,
622,718,064,296,008,466,079,792,242,852,376,161,835,373,458,881,184,843,786,
217,183,442,510,161,045,353,803,735,131,033,939,439,542,127,756,498,964,516,
121,201,234,684,342,330,023,799,955,652,437,510,431,372,123,687,089,553,281,
218,157,868,328,057,853,180,885,908,276,945,684,796,738,357,984,396,179,489,
218,240,341,066,274,593,085,503,687,200,039,475,496,370,169,827,483,173,192,
518,997,984,937,008,666,865,007,152,486,159,931,582,858,329,628,717,553,299,
306,339,254,523,264,290,597,558,193,846,964,936,997,457,421,163,814,236,195,
968,510,447,699,926,714,818,990,385,820,389,697,573,560,727,459,306,388,862,
830,383,727,671,158,100,353,911,053,503,609,488,112,949,190,204,568,931,346,
228,643,628,057,375,809,256,291,532,398,747,025,599,874,949,030,876,397,467,
003,881,216,225,716,345,218,037,773,634,030,870,966,603,546,223,692,892,359,
207,998,679,774,670,345,099,006,225,396,818,202,293,188,784,246,569,371,768,
061,854,601,808,895,046,234,014,369,606,598,725,824,930,854,514,316,967,101,
501,665,184,241,644,337,093,173,848,518,259,102,922,353,687,154,091,616,624,
869,497,781,288,506,649,299,815,261,248,797,851,048,744,135,408,629,411,421,
951,370,561,501,015,006,145,488,855,183,316,943,731,164,239,089,191,869,573,
240,130,955,923,209,853,236,699,780,437,593,938,223,527,423,068,454,631,950,
702,159,322,108,279,229,697,925,063,829,398,298,820,328,821,404,154,046,708,
693,101,108,134,373,566,404,300,741,085,419,039,467,816,812,082,276,393,479,
993,331,657,110,013,059,640,557,568,053,365,684,457,476,358,359,610,481,492,
807,982,167,008,864,367,392,834,712,221,878,498,533,232,855,280,824,056,029,
150,922,085,369,272,725,851,294,542,229,258,461,971,904,742,233,455,584,367,
559,341,167,107,165,631,557,062,442,792,665,768,601,076,000,273,990,402,838,
091,374,138,992,476,653,959,700,525,675,035,390,013,493,887,211,351,590,658,
396,872,595,584,171,016,051,454,122,163,314,672,390,851,216,959,399,124,170,
083,236,212,316,853,281,914,857,442,377,493,939,051,345,629,780,768,402,688,
826,875,794,445,025,229,693,301,625,544,135,441,889,356,148,466,999,965,163,
406,236,941,648,899,126,821,071,218,161,656,933,131,345,170,776,717,644,213,
260,321,591,752,047,767,953,201,889,141,045,688,848,048,316,680,396,839,456,
572,033,528,857,159,272,308,684,444,139,960,713,616,646,577,594,512,485,517,
082,817,428,452,299,025,574,167,325,556,012,456,645,293,480,974,397,345,591,
914,869,599,642,322,048,707,141,866,933,870,833,175,431,248,264,885,433,953,
850,954,407,011,602,786,105,253,891,010,151,001,076,254,655,473,543,584,926,
610,409,564,455,179,098,819,566,406,577,571,569,068,410,525,562,179,457,509,
933,361,609,637,096,178,350,820,357,260,110,742,330,784,375,821,204,320,356,
092,018,779,506,669,498,053,710,800,674,022,230,751,401,658,350,393,126,758,
686,891,849,408,394,502,987,043,759,929,493,148,271,077,079,270,198,229,848,
468,926,377,436,327,025,407,130,454,338,626,226,183,735,159,325,459,138,228,
648,215,372,306,235,171,777,596,006,801,002,042,247,974,334,192,953,558,292,
342,520,309,914,791,708,411,345,363,497,736,241,734,491,483,923,084,404,210,
045,724,352,274,623,510,193,012,655,897,329,765,135,102,441,585,983,379,094,
528,526,199,026,624,767,827,368,544,195,087,013,318,858,246,538,774,354,699,
911,643,914,288,654,834,089,323,012,661,626,566,384,022,636,493,022,037,258,
848,188,294,968,994,770,857,661,675,189,068,096,004,452,450,848,887,226,660,
405,096,679,178,347,554,543,177,401,983,887,483,371,129,590,253,593,471,790,
412,958,634,923,787,829,601,241,851,341,245,132,241,597,778,202,254,955,247,
980,132,094,055,509,597,626,880,783,396,146,423,396,809,445,435,443,824,913,
724,672,160,607,224,323,584,093,952,172,782,206,062,013,821,217,662,746,010,
316,181,868,102,207,061,781,600,001,848,732,489,312,331,529,212,968,829,805,
418,878,408,265,532,730,419,317,931,441,882,958,615,021,552,216,594,270,307,
856,979,881,347,493,982,861,787,083,212,064,558,644,860,879,547,868,782,578,
928,699,106,929,583,473,110,692,662,124,597,856,736,640,651,862,384,838,677,
877,690,779,635,647,386,610,360,097,158,663,147,338,610,247,441,159,881,524,
225,919,359,030,050,854,392,303,216,279,070,701,109,873,512,747,782,754,743,
625,283,038,358,943,152,475,514,577,188,812,603,487,942,892,372,718,449,776,
442,511,670,692,976,024,139,934,451,180,873,664,385,976,666,416,526,026,877,
530,873,883,371,251,796,327,360,785,788,926,963,415,205,383,104,497,439,774,
608,891,287,411,065,458,331,837,954,743,989,825,206,638,058,321,775,518,153,
797,711,771,288,216,191,725,538,156,631,970,454,961,609,932,556,386,138,375,
628,851,078,412,356,973,478,067,646,443,052,619,130,086,556,320,923,860,624,
605,418,165,811,989,611,508,019,531,689,803,042,483,128,058,058,621,062,105,
123,316,372,026,309,243,812,318,511,536,137,547,428,223,081,420,158,138,986,
458,280,239,672,563,076,528,997,425,724,491,829,287,026,756,992,565,072,949,
045,578,501,019,257,633,466,713,520,011,387,839,024,303,305,252,143,229,092,
614,465,760,792,492,223,967,924,238,534,746,106,793,409,719,874,761,982,951,
171,586,108,596,970,813,440,852,435,765,840,038,341,929,524,273,634,903,999,
391,391,944,029,246,483,944,912,827,770,139,409,445,143,654,810,178,096,379,
733,034,796,930,054,005,207,509,820,474,731,593,888,552,475,405,371,347,632,
991,022,882,443,320,541,315,051,893,407,197,815,198,102,163,733,317,135,622,
353,881,866,980,915,146,310,780,665,939,194,193,481,719,351,077,497,332,348,
793,661,594,744,526,336,292,696,000,586,574,555,177,464,060,162,624,144,750,
105,244,526,209,054,101,014,197,094,922,132,854,582,896,821,374,233,062,192,
254,930,216,961,543,530,559,277,385,776,593,462,785,963,044,244,263,495,788,
916,191,741,454,308,284,646,725,061,550,323,225,444,267,709,597,244,302,393,
109,475,464,737,345,451,679,775,986,635,468,560,371,546,404,066,769,737,072,
519,392,324,071,576,704,007,645,455,209,729,364,473,901,865,799,021,252,777,
904,707,628,576,133,120,696,254,766,067,503,387,306,997,592,654,850,942,580,
740,828,766,343,572,258,802,506,065,980,853,529,673,041,466,801,898,590,013,
044,853,244,489,652,108,853,848,131,268,419,182,631,371,001,013,316,846,956,
194,540,861,555,735,303,073,267,468,775,003,754,936,570,203,594,080,712,831,
257,823,204,022,351,325,142,729,235,670,419,340,824,095,042,317,205,699,022,
769,396,336,664,446,530,784,446,740,065,010,084,238,141,065,738,983,891,464,
221,371,873,236,789,643,497,630,159,693,114,955,565,269,424,880,918,537,842,
567,065,779,861,957,865,353,390,832,836,303,902,481,916,943,015,352,517,686,
041,012,824,049,924,021,537,896,730,308,323,810,846,197,627,000,490,257,414,
873,016,950,121,809,805,614,650,373,893,119,383,250,619,470,683,792,671,880,
964,318,471,254,881,410,771,836,560,522,220,481,102,318,518,292,673,311,704,
195,812,049,867,583,299,015,408,526,373,505,521,940,350,972,861,930,554,438,
161,944,983,098,029,725,406,260,770,392,331,371,174,331,356,358,052,992,231,
028,535,243,176,794,270,842,283,244,169,890,739,052,146,679,272,305,370,498,
837,572,788,682,042,360,610,104,285,097,918,563,088,529,441,207,496,076,181,
549,634,561,882,565,073,605,626,648,236,815,553,393,129,920,241,072,387,369,
852,776,761,830,197,380,673,024,864,319,595,101,245,759,299,158,166,141,962,
669,798,902,286,284,320,420,933,022,762,328,705,011,539,789,656,627,508,264,
902,460,497,477,026,491,463,239,562,970,476,687,803,070,123,298,022,148,655,
954,184,997,802,629,497,196,633,422,356,127,207,874,544,934,218,626,666,656,
518,066,535,301,044,478,128,998,538,262,103,648,414,113,552,806,379,523,462,
856,653,812,504,684,351,442,267,142,584,751,427,039,568,467,362,949,639,806,
251,302,941,815,050,942,025,286,006,215,761,262,711,899,906,747,576,724,782,
330,602,475,854,994,000,422,985,252,883,859,680,326,695,681,043,265,352,198,
806,005,000,499,898,975,944,462,235,596,362,088,162,813,915,082,632,585,910,
887,254,114,652,600,828,916,510,685,420,598,778,278,961,574,180,218,273,440,
721,211,777,979,914,319,263,303,470,865,934,371,440,856,458,972,945,952,780,
238,064,128,759,168,238,230,385,158,961,431,597,871,542,048,971,180,234,963,
845,944,133,375,283,904,081,053,112,118,823,175,684,442,649,310,127,540,021,
689,968,001,205,629,087,815,253,681,497,371,525,610,933,013,593,432,922,523,
506,685,646,705,269,553,999,852,975,551,004,273,502,863,255,948,886,902,528,
764,684,502,884,298,421,307,650,928,962,577,916,690,024,010,564,577,204,211,
486,034,810,475,503,011,413,927,093,587,886,428,928,061,235,965,205,497,265,
024,986,047,285,549,387,141,996,624,246,069,762,086,995,465,111,647,142,071,
563,823,218,929,934,508,549,523,564,538,776,579,420,466,306,916,586,736,704,
985,707,655,080,281,718,990,974,847,445,868,748,656,540,689,729,186,819,792,
441,461,454,209,936,475,763,713,743,948,810,133,371,904,812,626,372,316,291,
476,138,393,176,663,724,626,584,398,912,824,733,178,113,130,543,035,904,661,
448,006,696,743,307,359,321,978,280,200,365,813,426,279,396,797,050,451,449,
184,663,038,332,804,369,976,053,754,609,506,218,152,682,839,352,651,746,854,
376,567,735,315,394,298,489,396,702,467,361,644,271,341,324,461,333,239,256,
873,871,580,270,830,000,809,984,918,690,895,310,482,175,150,759,398,178,372,
399,478,366,321,645,925,533,387,002,573,220,538,499,506,107,273,788,567,792,
928,045,687,217,035,544,876,635,212,331,747,018,529,946,037,817,539,054,897,
145,986,467,632,674,407,522,590,377,421,646,852,841,664,827,651,595,587,178,
722,473,558,055,154,925,819,990,913,856,088,175,998,182,857,430,745,604,920,
200,954,547,949,628,222,217,931,931,783,251,416,316,528,563,060,947,853,660,
333,338,090,771,934,730,875,111,352,559,303,357,720,450,606,202,774,284,135,
798,388,258,741,732,720,187,417,198,874,790,511,177,766,182,231,345,823,619,
647,885,332,952,969,838,151,083,956,991,765,233,487,488,737,487,567,044,369,
739,958,674,107,473,135,604,466,233,273,299,057,815,781,378,718,555,812,673,
980,792,436,918,924,285,118,745,092,497,209,272,242,793,213,750,373,613,517,
336,419,040,595,405,289,848,913,358,486,669,873,741,305,529,514,108,609,675,
294,788,675,955,249,396,445,216,387,460,924,673,489,248,974,628,102,443,722,
663,524,628,802,629,309,934,256,982,999,107,911,286,032,030,447,155,793,022,
486,076,321,770,746,516,335,668,870,799,214,321,828,609,245,358,877,419,451,
431,547,279,936,549,725,787,762,210,402,278,671,136,218,199,568,022,430,153,
217,524,441,688,781,273,576,873,923,283,519,946,654,531,764,038,208,549,249,
325,071,421,905,412,832,726,451,767,728,631,865,810,600,660,570,263,346,497,
616,616,558,120,716,906,617,084,811,508,953,003,961,809,053,377,088,010,836,
266,720,223,267,407,620,832,661,842,902,491,856,319,579,205,580,810,581,509,
891,445,749,460,573,980,289,614,199,158,111,933,350,659,599,921,540,805,674,
712,194,203,744,245,535,589,614,866,114,901,292,953,212,647,978,008,891,288,
711,280,558,565,654,101,660,466,225,096,890,151,290,547,524,944,034,529,397,
147,775,905,224,679,066,437,553,863,017,965,530,638,363,024,306,862,072,019,
035,790,380,660,114,851,905,525,013,198,326,379,412,328,073,083,948,952,903,
680,402,730,258,486,256,081,141,318,955,837,594,793,049,718,656,178,944,609,
572,431,815,159,703,283,442,956,438,110,169,183,147,470,667,425,844,692,397,
433,489,835,803,360,433,249,289,028,463,254,195,961,966,144,445,029,675,997,
241,916,573,997,452,510,404,000,706,968,476,067,303,455,695,180,965,521,610,
999,608,702,779,313,040,810,455,074,004,668,133,981,004,567,230,922,396,259,
582,510,063,964,510,337,238,693,236,763,509,024,732,788,510,170,476,673,219,
128,360,113,290,116,584,032,279,638,069,423,702,007,462,032,055,289,179,063,
177,060,814,222,070,194,566,062,924,543,728,180,894,966,250,913,504,175,869,
746,934,645,190,731,285,395,106,000,691,693,545,963,558,783,782,353,955,899,
225,726,971,104,115,934,392,544,952,474,996,575,517,897,272,117,300,437,359,
371,728,917,743,375,298,326,300,200,868,563,634,955,356,856,017,971,110,776,
523,232,285,941,844,948,617,103,297,911,946,805,758,592,089,147,318,061,147,
184,620,454,232,697,527,748,955,171,604,495,540,710,854,220,189,602,033,492,
864,692,617,867,561,614,449,145,391,404,995,646,985,597,213,059,879,998,141,
172,113,149,092,877,902,871,242,175,927,358,079,786,931,846,983,406,619,515,
903,593,780,662,431,449,176,619,372,050,586,927,772,151,049,957,223,362,965,
730,547,674,320,953,107,843,268,124,939,885,344,383,639,556,067,006,977,193,
594,280,504,393,453,219,702,272,132,141,689,751,439,239,840,212,894,521,470,
113,619,342,636,901,742,351,676,214,519,190,470,387,215,638,715,570,166,720,
272,166,059,687,759,415,878,859,676,383,425,751,610,101,151,889,865,982,948,
556,920,807,724,136,396,128,412,448,026,091,148,554,726,230,936,410,785,020,
759,239,706,137,710,839,557,793,335,221,291,609,644,387,823,453,724,535,749,
629,148,864,870,554,456,267,834,881,554,506,409,494,661,140,966,365,574,003,
078,167,495,870,657,104,916,127,332,333,818,097,879,472,032,039,781,594,650,
773,022,521,944,780,021,607,040,345,050,434,059,423,881,501,916,406,946,052,
125,541,653,498,435,047,994,743,487,171,142,785,995,270,994,789,851,551,324,
747,853,301,353,828,079,758,847,477,673,175,628,863,211,343,928,351,302,891,
180,261,835,567,441,943,354,644,108,400,892,176,656,079,806,317,150,206,519,
223,342,903,361,753,742,613,827,128,854,876,981,332,549,615,677,817,080,830,
962,206,184,027,570,303,949,907,619,224,276,953,723,270,295,062,396,107,384,
670,757,569,416,246,600,904,755,813,410,842,593,729,135,234,817,154,341,288,
852,617,843,425,684,522,839,622,938,530,228,207,726,469,864,277,784,401,963,
011,766,425,841,443,677,515,492,060,226,685,351,816,678,155,516,912,542,014,
922,112,558,644,778,654,770,398,941,441,798,560,168,086,501,114,714,174,494,
149,247,638,024,679,092,473,053,636,233,874,696,083,981,146,905,076,390,707,
156,330,951,494,948,818,008,266,633,156,313,367,845,155,162,741,981,858,660,
198,868,183,584,598,667,582,007,878,680,443,822,133,459,263,051,580,800,911,
660,583,601,608,745,188,181,649,103,496,529,536,133,367,104,476,565,521,731,
791,396,117,603,416,437,601,897,504,341,274,188,965,175,058,606,985,787,516,
767,417,826,655,922,496,454,583,123,451,571,512,715,723,742,584,277,804,613,
137,997,033,993,566,073,165,178,003,277,739,904,060,373,818,100,151,577,903,
868,360,053,531,284,574,175,366,095,705,322,063,071,660,436,726,263,179,591,
248,242,630,738,243,248,894,335,802,600,093,042,237,510,367,393,005,504,155,
448,556,430,742,085,760,522,195,643,677,114,347,980,906,406,612,334,958,942,
205,905,632,114,915,792,574,517,536,973,915,125,156,032,922,943,481,180,239,
966,059,584,035,432,915,435,762,659,369,151,423,069,821,276,684,571,799,989,
627,189,406,862,646,756,960,445,245,230,318,361,359,609,874,343,879,582,071,
069,085,027,075,429,567,847,795,720,025,424,176,509,638,140,759,466,021,914,
990,080,428,707,687,340,744,503,826,536,617,934,840,396,089,483,702,145,454,
344,518,731,505,971,810,160,551,158,071,840,683,580,399,193,517,359,969,308,
619,178,636,441,355,831,538,758,787,067,614,878,662,612,081,654,952,496,795,
969,362,325,743,824,318,451,832,577,051,302,874,730,528,337,739,780,742,421,
712,754,166,290,944,080,176,511,814,027,304,985,006,923,246,598,212,259,403,
164,579,212,632,168,662,188,062,276,350,190,574,514,847,633,408,760,995,577,
101,106,213,820,476,156,975,636,992,640,845,996,345,316,031,564,070,087,003,
165,260,347,450,378,951,220,195,348,263,411,277,565,514,909,296,509,201,782,
942,442,709,923,085,861,472,806,913,323,278,725,198,811,749,084,743,088,875,
879,898,948,234,570,655,538,514,402,054,125,281,662,897,620,515,290,007,251,
870,921,442,891,777,709,477,573,133,170,658,718,240,915,891,887,217,903,796,
930,971,866,079,473,808,984,330,860,930,110,860,186,634,857,720,562,911,206,
651,650,741,440,218,229,027,512,632,895,676,986,893,169,218,088,260,777,592,
436,072,321,746,077,256,063,663,804,362,039,733,616,446,233,053,759,133,071,
604,094,842,392,604,243,181,689,249,043,860,384,781,834,813,862,941,304,547,
810,005,446,342,335,922,925,817,108,278,451,992,704,007,488,840,747,077,168,
489,945,402,222,131,171,027,638,183,336,022,136,732,560,674,466,600,618,568,
623,498,725,810,065,903,616,897,375,522,686,439,188,145,971,444,411,571,166,
343,703,386,650,901,514,789,385,904,766,816,906,863,014,005,124,543,416,802,
510,145,927,692,761,286,926,540,558,717,651,902,702,228,689,944,444,180,667,
160,875,186,655,773,794,671,989,553,220,917,266,263,951,651,003,231,253,231,
829,886,149,024,565,047,843,402,307,536,833,845,497,859,696,343,538,776,574,
897,886,420,136,255,603,291,029,081,641,119,578,758,577,942,747,011,638,658,
761,823,385,849,976,086,575,983,557,688,244,263,953,279,288,605,446,313,329,
052,527,347,870,923,983,900,751,824,776,291,164,384,612,131,636,425,863,506,
912,106,857,367,775,017,800,886,013,640,167,326,908,374,158,249,674,732,976,
385,570,779,322,162,165,421,217,852,843,914,939,477,820,057,879,918,876,491,
886,200,596,072,510,279,141,362,259,645,670,355,259,325,873,412,324,264,909,
932,633,846,710,266,215,301,323,991,755,884,625,632,252,779,079,621,458,773,
261,957,352,116,824,238,407,496,625,743,098,481,078,553,203,705,915,746,160,
969,680,554,167,063,597,912,055,799,736,493,741,890,084,293,407,027,379,299,
996,516,312,553,275,661,343,159,155,137,452,956,935,216,676,735,619,546,905,
796,357,421,928,720,392,246,683,183,944,712,155,864,098,138,015,918,059,529,
592,086,143,758,788,478,853,880,313,482,887,181,022,309,599,947,002,273,231,
267,117,621,120,054,389,658,600,125,115,816,637,117,519,776,008,878,245,566,
215,200,922,251,871,050,021,252,338,147,768,976,366,581,317,176,389,573,329,
228,858,665,614,050,323,546,657,434,836,888,191,856,699,138,373,121,839,219,
388,931,185,022,158,635,681,500,673,075,566,856,310,013,877,401,566,795,972,
606,633,319,850,173,041,799,958,616,478,680,201,533,623,152,199,490,560,706,
880,363,567,484,367,559,689,052,623,584,834,055,050,541,955,290,318,455,326,
693,254,755,378,868,677,124,774,932,715,113,945,703,303,545,931,991,421,283,
115,064,474,448,642,762,321,242,861,104,486,070,495,003,282,138,335,548,952,
809,343,405,338,578,969,130,952,816,708,004,250,660,067,776,106,696,412,667,
733,836,030,853,455,698,656,103,978,433,107,841,722,686,857,996,600,033,563,
099,215,195,527,334,384,689,694,310,995,989,631,052,256,754,825,292,008,965,
419,919,410,846,289,999,388,127,457,920,863,887,806,309,851,874,312,276,017,
863,928,986,997,196,545,817,432,058,031,495,641,793,272,066,618,122,126,227,
255,346,391,349,861,733,619,360,423,023,442,124,611,073,723,922,783,029,543,
355,202,421,316,759,489,028,484,608,399,766,590,033,325,320,887,920,116,343,
586,625,282,844,168,650,046,356,419,440,759,134,346,403,883,846,716,136,467,
582,260,068,603,017,075,271,612,755,352,024,286,389,386,528,644,115,579,520,
964,284,773,986,533,216,966,349,957,439,231,338,812,122,458,379,063,377,364,
133,921,952,651,092,853,433,353,986,433,754,889,557,928,894,004,378,811,142,
623,082,454,411,752,086,499,441,537,313,785,671,059,007,872,046,365,504,316,
155,663,697,996,525,104,869,070,214,794,376,441,980,868,049,632,948,428,711,
775,119,050,437,793,468,219,811,437,262,524,856,680,225,092,556,059,132,443,
824,691,611,092,290,180,521,736,852,905,216,095,695,165,688,919,801,613,293,
129,255,307,976,107,988,502,439,315,871,423,956,925,584,991,904,369,316,150,
241,885,607,953,715,992,505,419,290,127,409,183,209,452,464,111,379,870,778,
859,043,607,601,842,861,764,935,009,324,208,721,632,296,267,635,434,264,756,
587,838,935,540,035,287,943,497,194,959,356,457,410,439,079,739,514,045,173,
333,404,676,525,098,375,095,190,322,907,989,719,964,617,745,480,544,445,390,
663,692,680,044,253,290,057,824,361,150,905,495,883,481,035,998,133,885,464,
750,933,743,261,667,326,063,613,213,870,334,445,975,551,604,794,644,129,607,
909,592,191,689,051,540,433,632,669,156,994,944,705,568,859,730,771,757,327,
771,240,231,202,527,131,899,462,367,230,881,652,717,621,961,388,783,824,491,
681,659,070,565,935,195,828,458,622,137,696,607,649,702,728,629,262,340,202,
128,455,072,639,141,183,127,730,234,668,032,289,920,457,137,376,409,756,824,
333,472,409,234,407,354,871,526,606,389,642,743,532,088,995,388,717,113,312,
877,924,785,438,096,574,472,290,647,308,665,975,098,129,278,229,485,542,782,
369,099,141,035,345,778,485,737,902,827,022,142,771,961,685,182,754,879,375,
045,004,184,013,740,935,464,172,520,598,918,517,972,683,723,629,716,469,669,
178,576,656,060,114,467,081,491,614,148,208,012,049,752,516,591,573,294,754,
295,326,119,503,147,315,787,475,663,721,525,350,006,575,188,159,896,000,105,
886,650,070,115,821,026,280,520,297,275,702,912,902,431,114,062,503,210,975,
762,002,575,074,777,446,302,336,317,558,006,850,282,728,676,353,644,634,789,
925,321,944,567,675,477,606,145,836,531,136,589,902,772,138,753,822,532,405,
582,553,399,169,612,883,504,532,003,761,562,911,279,344,932,955,478,393,557,
202,532,757,497,158,086,750,816,364,739,079,695,680,681,694,958,619,801,634,
334,975,456,275,264,503,024,500,113,174,112,953,761,611,436,441,795,260,676,
792,819,737,672,702,248,896,710,624,649,763,224,168,546,295,657,752,890,970,
622,469,193,729,105,981,921,636,356,272,958,274,807,770,396,755,667,136,855,
620,656,108,142,143,167,725,506,878,026,387,333,830,943,841,838,639,382,759,
412,133,829,513,381,594,333,837,859,104,264,668,030,064,515,276,270,012,836,
655,182,279,260,874,207,521,011,479,153,979,372,063,905,833,873,618,111,307,
324,066,077,685,020,648,631,976,042,553,400,487,441,802,763,229,681,130,204,
061,509,243,110,627,864,183,214,943,833,649,073,393,665,294,104,799,982,048,
185,935,704,331,033,162,776,305,531,332,102,846,753,616,185,741,060,232,997,
341,500,973,171,938,929,426,754,921,306,220,431,911,833,102,467,978,696,798,
848,449,863,781,488,743,254,732,434,670,999,069,574,681,146,667,915,207,562,
558,283,368,155,457,206,192,082,220,997,688,684,070,499,559,024,859,584,047,
001,787,720,752,166,598,445,709,302,449,572,384,342,482,482,004,907,982,252,
825,040,270,417,069,556,369,394,190,563,951,164,816,814,614,267,681,280,439,
789,369,143,399,152,979,227,213,540,222,447,725,502,945,990,046,555,076,099,
454,631,309,731,910,151,581,311,740,781,857,595,467,216,718,353,768,796,727,
827,844,473,172,794,614,063,775,844,791,012,776,974,374,164,053,084,247,817,
084,806,219,127,065,888,108,060,137,819,426,512,749,875,850,200,699,235,540,
274,996,854,717,137,581,828,947,803,157,268,035,393,120,417,803,902,258,920,
233,107,724,201,231,673,247,356,182,673,820,745,316,472,921,890,317,065,257,
111,436,324,834,233,763,829,269,403,641,954,417,468,282,879,063,204,030,448,
060,919,037,151,674,425,404,405,669,220,862,973,903,830,734,622,920,554,911,
463,164,120,517,193,026,712,757,246,899,397,595,086,399,829,895,448,428,670,
536,517,103,873,498,520,092,913,466,104,387,391,393,363,425,388,914,397,913,
310,054,180,172,979,600,080,871,321,681,952,335,053,659,179,172,420,389,962,
393,492,631,358,705,644,663,396,836,237,418,426,385,926,729,371,277,579,692,
862,841,385,467,090,559,708,715,264,457,386,762,519,257,663,853,072,536,221,
563,098,800,529,438,235,714,410,796,086,660,602,356,731,875,810,268,258,736,
449,046,148,681,603,107,720,125,846,507,812,225,874,363,183,128,959,195,826,
033,264,580,276,785,190,983,384,366,880,116,811,430,867,885,023,912,360,251,
859,214,561,208,223,273,702,528,152,613,962,904,308,109,392,966,934,093,936,
006,046,550,118,947,038,113,557,094,073,348,856,939,290,773,501,393,241,157,
274,668,042,379,396,262,474,690,124,586,549,202,328,905,528,093,043,883,170,
751,262,396,632,355,001,452,732,736,653,174,256,175,086,352,626,428,530,071,
701,022,952,859,249,262,032,842,954,478,703,788,470,325,562,523,609,935,365,
459,666,074,454,699,536,115,074,683,801,593,448,466,960,826,249,325,481,008,
766,808,652,296,094,943,973,781,244,606,406,912,521,503,563,483,819,911,775,
442,585,902,384,126,487,747,026,122,401,638,829,790,783,575,443,089,925,037,
280,998,837,654,556,318,832,040,671,044,250,596,866,362,592,372,814,113,308,
606,890,329,721,904,261,846,617,431,861,015,698,460,095,529,261,214,874,143,
726,989,263,976,968,866,890,484,640,070,514,603,926,806,309,935,200,022,880,
794,432,862,128,174,930,753,676,538,068,719,628,158,076,366,415,619,417,402,
901,985,406,990,318,135,041,610,337,294,464,208,279,169,443,073,567,975,222,
300,309,694,031,442,510,371,655,043,575,240,051,118,283,244,327,226,821,273,
144,335,994,351,247,938,962,422,282,494,600,367,173,127,114,602,642,541,540,
520,210,131,513,033,771,697,456,389,526,880,315,417,714,823,855,778,990,021,
423,323,547,786,567,840,633,885,208,598,627,798,648,873,904,586,127,504,996,
310,838,498,936,455,412,070,488,082,250,781,443,668,423,724,369,916,489,967,
233,350,256,857,379,836,985,814,343,108,672,991,198,132,242,448,659,618,898,
996,713,488,011,932,376,928,561,469,312,493,712,751,307,379,611,456,629,286,
109,111,587,763,647,849,974,293,619,313,717,622,609,888,114,528,464,857,995,
396,972,582,475,666,981,377,096,569,043,174,307,806,023,898,026,375,791,513,
901,939,965,029,517,810,693,029,049,397,591,006,761,812,444,184,364,657,334,
962,030,365,884,928,020,958,451,069,103,794,075,621,399,689,510,908,617,312,
034,564,030,689,569,623,716,029,720,883,357,908,065,537,847,984,650,525,630,
543,268,010,359,247,340,857,574,286,659,134,491,814,832,905,951,036,918,841,
963,433,131,201,681,055,035,233,082,189,028,026,351,736,980,696,381,635,143,
886,501,198,426,111,362,468,889,622,844,874,288,292,425,582,801,564,339,071,
226,801,657,391,039,099,468,499,300,633,959,374,397,961,990,349,700,813,627,
404,473,605,666,259,106,874,553,693,530,416,338,139,061,323,730,412,569,496,
330,811,835,260,135,644,868,291,489,942,680,068,410,223,073,143,399,900,996,
452,035,560,383,290,228,084,078,663,932,582,654,631,869,370,202,406,708,473,
645,796,556,321,925,925,560,052,246,445,766,056,580,951,357,445,189,224,041,
963,399,656,188,416,615,732,718,670,002,856,543,081,708,558,680,368,686,555,
799,161,866,769,351,163,198,930,182,226,753,339,113,770,755,416,091,147,576,
523,076,225,756,597,029,495,689,783,461,301,141,552,593,624,268,900,582,938,
279,061,796,025,280,415,619,097,414,010,454,145,741,102,990,817,310,797,703,
994,569,339,050,969,376,035,754,276,314,146,116,862,471,887,745,060,440,021,
428,236,043,713,010,696,930,232,786,318,012,608,655,164,801,653,949,456,950,
447,604,909,835,477,021,881,407,508,294,826,210,707,577,357,461,819,069,871,
945,449,279,814,540,938,587,939,643,301,363,508,243,478,888,949,880,214,630,
899,248,428,649,775,469,099,699,261,006,502,089,995,233,598,731,788,850,376,
724,860,049,702,312,619,207,335,792,496,446,371,786,005,848,137,995,230,947,
427,008,452,965,193,859,535,404,793,003,488,403,928,530,424,368,053,274,277,
521,263,027,613,068,318,861,791,798,402,986,032,115,779,071,198,129,484,453,
907,698,953,414,486,212,045,685,022,495,033,175,142,999,478,512,541,541,194,
160,918,594,843,552,697,553,579,704,166,725,876,268,506,138,947,678,417,983,
462,904,720,697,453,032,579,900,970,955,176,765,175,037,594,810,462,234,918,
924,585,860,904,114,957,160,860,756,151,993,483,280,823,917,862,709,567,358,
078,090,130,385,298,962,367,839,188,984,757,694,274,555,572,803,171,521,871,
584,335,681,334,830,407,735,570,711,350,843,186,802,389,106,049,302,183,553,
384,356,579,498,213,850,409,250,498,031,170,596,359,797,964,301,974,060,498,
497,013,678,495,188,115,628,981,518,111,712,018,948,386,621,665,150,445,758,
757,351,570,138,888,159,231,976,463,806,714,828,055,610,686,391,180,447,397,
985,346,255,532,554,529,631,857,481,261,863,564,070,653,739,041,981,693,801,
387,787,251,947,423,173,679,075,038,722,436,536,942,595,389,039,265,650,928,
264,380,474,915,517,406,016,585,331,989,625,456,206,853,861,452,428,426,305,
848,779,111,316,481,748,654,219,636,811,873,443,833,021,552,289,083,884,225,
416,716,884,866,112,425,219,698,054,094,630,096,942,556,044,752,159,064,307,
781,179,632,582,896,114,131,842,642,426,869,907,559,752,122,614,213,618,200,
447,408,329,163,255,038,255,184,541,329,110,846,587,929,748,963,427,140,339,
604,574,318,640,373,761,355,328,948,536,887,227,431,236,189,513,207,621,168,
929,823,414,132,655,813,261,223,363,617,327,392,371,156,618,871,225,778,521,
637,621,947,092,800,225,870,904,722,026,613,322,621,298,655,140,039,405,088,
649,849,750,687,056,780,061,074,249,627,103,622,410,574,811,485,645,463,561,
103,481,980,419,027,611,638,181,338,964,533,686,809,515,804,239,762,947,521,
493,236,276,297,815,250,216,025,445,151,625,739,091,785,378,228,875,976,186,
742,660,985,596,639,302,778,310,601,199,249,283,512,029,648,020,987,330,939,
874,679,707,589,164,676,280,807,920,941,589,767,516,929,338,536,668,778,578,
995,904,001,313,302,271,317,976,513,942,581,529,579,249,539,860,414,200,760,
279,867,263,639,361,285,166,525,137,223,241,671,097,827,220,824,685,768,627,
301,597,741,373,728,411,607,305,014,107,479,126,437,855,919,264,617,456,189,
013,297,379,152,785,756,236,354,502,547,785,118,171,592,215,900,628,415,045,
449,892,172,290,752,834,279,903,590,396,437,136,181,740,816,843,774,976,306,
175,176,913,872,558,641,673,299,980,552,676,136,070,871,768,398,496,697,470,
567,565,972,879,072,147,155,845,711,174,854,653,732,977,268,434,799,938,181,
016,584,916,995,168,103,841,770,107,532,628,588,070,095,399,655,308,997,177,
996,139,684,899,893,195,272,260,262,153,082,987,060,120,784,390,648,762,441,
588,971,706,679,213,868,069,187,320,821,624,113,119,552,470,817,009,715,070,
077,348,634,193,813,548,726,698,954,802,800,323,091,631,807,724,645,131,718,
810,775,623,320,126,397,550,794,389,416,940,866,851,205,389,188,952,232,667,
695,939,465,697,976,255,594,187,707,527,810,349,630,501,033,915,782,848,655,
395,124,654,730,488,902,158,194,269,775,256,074,793,780,423,357,375,896,529,
417,222,252,166,978,343,535,458,159,941,885,894,949,555,260,629,714,638,393,
759,730,054,458,424,329,157,660,533,304,738,858,421,708,675,229,073,674,453,
903,808,365,546,768,196,791,123,755,781,537,416,460,099,553,649,068,808,932,
659,308,628,052,690,590,154,051,458,314,442,606,477,320,465,437,693,118,545,
306,255,042,274,861,086,158,210,330,300,349,397,786,349,407,063,229,375,399,
243,529,654,547,166,914,081,780,303,536,587,163,801,359,739,877,508,835,430,
536,727,261,398,185,797,648,891,711,821,723,609,466,387,536,651,012,937,154,
935,552,226,932,555,963,525,741,420,894,453,876,035,755,471,325,500,763,072,
796,892,316,951,150,037,948,979,496,809,158,454,352,819,609,098,281,782,305,
852,105,635,576,361,054,135,821,528,469,464,672,344,735,104,919,053,216,494,
786,208,322,960,994,114,783,026,172,952,425,121,247,803,604,056,482,397,656,
865,463,307,267,672,915,684,588,066,375,632,455,609,053,621,893,021,579,674,
926,126,581,894,790,567,353,139,630,871,858,892,027,708,726,793,496,857,393,
314,686,772,728,247,024,803,574,264,097,420,605,406,080,233,311,002,240,915,
004,845,905,081,057,197,301,324,642,307,454,301,568,040,792,488,868,493,277,
057,181,512,017,310,759,553,104,465,162,145,760,398,355,567,867,726,866,069,
955,472,434,718,531,843,017,902,814,863,813,825,350,855,466,692,704,111,804,
756,737,372,520,225,170,452,794,787,304,501,930,554,817,569,915,642,476,417,
046,333,213,404,913,744,768,780,188,228,808,530,372,552,131,017,864,486,800,
886,874,907,074,624,114,910,069,410,122,593,580,503,428,956,632,516,972,557,
943,971,365,648,767,209,671,748,852,283,667,791,990,740,388,068,907,492,503,
372,204,790,454,019,324,386,043,923,005,304,192,532,006,688,804,824,736,901,
990,215,525,766,824,128,032,844,079,863,281,949,092,345,407,444,519,826,776,
157,095,086,888,850,428,599,658,233,552,336,723,054,916,594,949,289,817,351,
713,440,446,073,379,411,787,040,266,693,295,036,747,808,466,515,790,713,329,
117,399,291,308,259,759,741,015,374,076,229,737,835,857,617,451,876,296,383,
937,891,611,778,812,263,224,846,190,820,734,318,227,668,300,869,773,221,457,
963,397,653,313,875,125,383,479,199,002,149,774,282,806,735,189,815,215,976,
103,449,142,752,780,159,699,537,644,148,532,314,700,994,186,291,578,938,654,
176,106,912,848,653,094,076,787,642,702,352,737,600,008,070,911,883,580,703,
707,064,041,262,006,877,068,004,517,682,952,203,593,912,692,777,905,862,048,
667,038,935,885,767,876,219,538,744,154,657,586,496,155,200,961,654,211,989,
492,510,969,644,179,849,544,235,797,881,791,899,073,067,736,206,580,840,630,
729,563,860,408,862,712,431,136,623,112,871,013,376,295,176,844,209,010,757,
821,823,125,082,826,240,862,534,861,715,214,245,486,854,046,187,252,806,963,
911,897,052,233,301,593,963,756,269,600,208,278,876,932,545,442,618,531,059,
658,890,182,079,960,152,501,479,729,366,923,516,479,343,233,524,698,678,393,
396,415,665,141,654,824,713,519,968,052,891,200,539,206,379,508,585,174,318,
072,037,683,265,923,807,756,107,567,956,526,077,351,825,143,597,667,990,686,
302,812,632,154,571,299,867,563,892,871,957,741,752,543,922,303,727,566,532,
655,824,510,832,602,940,380,941,922,878,388,199,106,121,239,770,271,083,422,
420,033,133,864,785,425,114,381,720,935,157,882,549,089,613,544,054,087,395,
588,233,312,106,561,672,618,032,862,545,388,684,469,935,190,033,019,829,877,
387,052,620,610,680,344,927,222,189,000,380,279,391,579,287,867,511,073,622,
716,353,189,957,779,188,069,969,163,219,350,658,739,159,153,807,242,585,506,
110,371,110,593,491,182,518,732,050,866,209,049,807,920,362,280,267,280,494,
562,987,441,676,760,978,434,216,817,330,616,597,852,124,077,692,038,870,557,
826,775,630,297,477,004,635,889,063,297,880,672,609,297,355,638,033,127,102,
584,643,195,844,581,269,780,115,087,933,710,994,218,172,553,491,414,597,264,
866,098,538,857,510,110,984,195,395,961,208,937,677,501,131,657,499,293,901,
623,073,731,665,394,025,380,285,008,836,273,681,530,096,838,662,032,272,736,
150,206,948,987,540,442,353,965,189,330,186,528,494,301,011,116,094,582,171,
515,880,083,715,095,906,367,241,367,211,999,977,168,847,599,503,348,838,711,
431,506,694,395,063,213,838,590,665,551,566,952,997,155,274,956,404,456,302,
214,353,595,338,805,061,457,323,350,617,734,924,843,520,817,812,308,304,540,
391,337,754,061,711,297,575,184,032,450,480,519,319,285,446,456,211,306,057,
669,090,729,832,313,997,914,256,532,027,657,383,714,746,453,238,177,270,600,
609,936,149,225,120,220,556,634,896,139,742,183,802,068,680,183,080,806,182,
232,287,297,613,190,631,788,762,952,968,317,429,217,364,100,152,703,889,877,
077,939,597,701,019,383,477,596,648,609,141,810,988,196,186,078,518,342,929,
504,587,967,856,729,618,055,531,791,129,814,107,065,032,756,284,565,943,445,
111,448,570,320,304,971,064,326,636,626,996,657,783,415,294,940,807,617,267,
644,539,178,870,160,508,792,921,338,702,796,352,800,554,984,708,165,341,462,
225,616,613,221,579,201,966,051,343,535,803,132,431,502,934,969,448,967,874,
243,780,109,666,337,504,454,754,132,985,792,422,340,394,112,763,364,797,608,
869,577,909,946,423,517,990,891,131,147,054,511,829,142,728,731,179,526,837,
976,248,351,800,590,131,501,363,007,985,176,554,194,859,120,704,324,991,340,
466,302,495,303,989,614,070,446,514,608,933,019,463,713,999,486,481,830,016,
620,348,554,063,464,046,252,595,702,088,376,335,636,365,440,518,361,546,145,
390,348,811,970,999,527,474,921,219,452,440,152,218,336,095,935,589,746,306,
567,717,367,548,596,444,343,130,118,766,347,226,621,949,953,467,366,458,205,
420,745,807,806,210,751,504,543,695,697,994,158,101,742,189,868,173,144,725,
555,597,974,030,926,581,804,567,054,915,156,895,413,688,854,902,364,479,399,
132,564,969,406,344,555,611,196,556,608,205,808,968,045,434,590,850,864,915,
054,901,668,236,273,604,034,156,431,422,358,656,817,312,631,168,623,339,318,
868,251,603,550,393,431,511,854,332,640,394,363,283,089,492,851,539,497,093,
462,792,098,266,367,203,508,098,674,795,913,214,013,477,293,218,085,714,352,
291,081,083,134,945,492,391,006,559,931,803,749,019,516,101,980,017,003,619,
278,184,200,420,991,605,156,757,596,169,084,558,698,111,053,318,039,779,302,
480,783,549,732,244,269,410,363,935,133,917,401,158,919,369,225,753,267,949,
078,690,754,370,370,161,444,893,434,489,503,838,366,175,023,322,413,965,955,
963,434,310,247,858,346,996,332,938,323,418,028,452,075,160,117,813,696,108,
228,213,252,843,472,476,478,822,889,388,800,235,704,657,030,769,087,443,235,
845,822,786,890,296,305,336,811,114,773,824,076,614,687,086,873,288,637,658,
856,043,067,466,431,425,370,047,992,669,669,330,670,610,025,229,008,682,120,
425,379,916,109,855,537,087,101,549,532,151,140,069,295,908,040,467,588,752,
964,414,630,387,275,943,935,965,750,445,140,717,926,971,605,133,439,008,172,
926,349,275,847,636,720,719,227,037,997,673,535,411,725,545,643,545,619,695,
921,894,240,889,316,986,003,871,905,126,180,904,747,162,378,073,270,017,835,
573,282,453,864,740,624,646,851,709,117,213,288,916,971,636,597,905,471,787,
804,219,375,444,772,138,177,181,948,469,335,115,900,654,039,347,853,754,675,
553,633,061,982,312,125,257,108,008,551,054,810,713,513,300,243,681,976,147,
424,559,287,586,798,178,657,855,521,467,995,042,356,765,352,111,325,305,015,
274,993,367,541,539,854,959,462,026,105,331,267,279,633,028,005,594,691,462,
487,668,356,090,126,941,141,395,379,522,214,378,553,404,916,504,763,663,426,
833,489,931,353,683,741,115,928,309,509,310,400,663,620,398,235,356,147,652,
278,205,727,811,244,650,255,711,233,606,668,507,647,685,355,553,168,260,066,
872,372,564,944,588,686,891,169,915,366,126,864,180,944,230,182,631,738,188,
931,217,008,713,121,408,370,187,366,858,237,344,723,321,010,602,556,017,037,
364,319,796,447,281,942,632,495,324,952,396,619,095,057,453,079,735,194,355,
117,577,598,953,691,233,012,799,557,823,911,769,615,042,403,951,171,099,947,
570,849,918,920,769,116,291,219,320,483,778,945,242,231,259,477,133,849,615,
711,360,349,781,703,959,983,884,359,492,994,011,213,149,314,561,697,633,678,
358,801,501,328,711,417,091,465,449,884,836,843,885,879,970,185,584,831,174,
058,452,256,567,329,157,358,374,498,391,944,688,055,050,174,246,247,981,497,
832,224,473,964,172,655,023,277,536,261,668,207,747,110,419,318,701,455,949,
473,642,675,613,018,642,508,058,815,323,490,488,966,807,586,524,607,724,071,
173,040,041,393,187,303,730,035,417,817,796,145,285,278,315,750,715,405,631,
198,957,588,575,949,303,171,604,321,833,592,791,742,219,876,772,559,815,757,
711,653,152,982,461,297,069,876,335,124,031,924,076,337,920,323,506,272,335,
168,474,411,364,831,112,632,714,389,117,393,803,452,290,755,669,526,290,746,
619,141,899,598,591,298,105,834,276,368,416,586,721,968,610,046,931,741,031,
454,732,719,655,574,353,634,563,587,334,828,820,759,703,715,965,012,158,256,
108,804,739,828,159,302,188,504,347,733,562,829,847,760,373,928,266,608,954,
370,131,859,962,936,938,349,638,511,209,993,736,940,887,983,127,408,917,124,
219,962,544,896,758,955,469,133,137,693,599,189,697,293,191,430,656,507,170,
993,948,495,320,983,405,462,128,790,789,438,318,933,283,466,546,644,172,155,
355,406,342,857,083,414,865,402,231,529,213,043,232,956,885,782,683,282,001,
425,609,849,278,740,828,985,867,922,487,899,156,306,744,135,579,301,237,953,
844,099,012,213,876,437,282,187,016,018,618,710,607,961,957,631,597,363,001,
781,412,890,209,696,731,825,300,669,066,674,802,717,882,931,401,585,163,076,
209,763,110,471,542,778,407,510,865,862,569,077,703,871,881,459,885,364,048,
491,809,136,807,876,405,213,251,491,639,695,958,530,584,139,164,245,862,426,
014,503,236,920,264,827,650,568,139,059,786,097,622,931,411,504,537,643,298,
435,623,584,510,753,742,384,279,906,472,147,666,814,273,168,994,723,274,865,
224,776,438,349,837,472,702,819,593,402,249,682,702,181,924,222,836,374,406,
890,295,491,095,897,302,031,429,603,859,665,265,232,040,949,766,079,089,441,
507,241,501,170,147,041,397,614,219,271,107,294,150,607,892,254,344,401,137,
789,845,508,653,939,926,929,529,708,955,320,201,239,934,728,894,464,662,759,
296,806,582,817,085,831,555,224,504,829,370,576,408,237,613,454,847,985,420,
351,394,007,586,512,805,193,090,121,500,917,956,175,817,106,861,860,239,601,
139,423,013,389,288,247,825,334,444,776,085,618,474,817,812,228,552,313,986,
668,970,036,126,776,468,672,253,976,304,390,210,442,237,703,467,764,827,684,
018,025,729,482,427,956,913,227,133,960,983,795,856,828,147,965,544,050,380,
985,209,702,438,321,065,755,984,764,655,529,260,411,567,325,378,619,830,387,
897,175,887,293,988,834,773,756,666,496,985,568,185,488,452,439,748,881,481,
946,336,524,255,503,893,711,599,382,395,315,438,504,754,824,763,748,117,505,
763,885,353,845,992,259,693,490,681,992,534,500,818,870,001,643,589,463,366,
010,240,304,841,413,499,678,210,246,476,268,656,583,161,326,976,760,813,422,
382,296,881,020,347,012,272,238,211,846,196,405,042,598,202,257,817,333,073,
863,235,238,626,033,566,197,678,009,560,212,577,744,061,216,960,661,296,201,
448,882,886,489,477,744,545,511,361,531,741,373,102,346,170,960,394,740,514,
215,646,395,942,113,968,377,019,941,470,388,496,048,996,274,795,549,454,249,
724,192,354,939,408,024,468,300,295,783,541,746,789,797,735,259,344,180,976,
357,091,329,017,481,413,360,356,111,110,852,406,239,109,017,232,361,248,706,
455,689,604,044,337,606,812,577,091,958,546,500,897,920,668,047,838,296,963,
242,638,888,456,665,170,997,507,400,823,156,564,022,414,393,036,391,396,703,
463,421,508,595,412,557,058,755,806,723,084,133,757,729,582,888,140,889,814,
334,606,025,697,952,727,334,523,754,375,508,033,104,519,006,246,842,165,092,
568,619,146,312,681,386,704,833,050,408,604,316,033,107,633,029,159,001,086,
712,846,965,280,020,943,327,360,145,653,861,754,645,793,355,461,770,911,218,
530,611,858,627,590,105,272,970,519,721,828,302,087,221,642,842,170,884,515,
963,870,007,373,826,290,040,468,195,100,806,950,857,163,528,708,985,263,580,
574,196,309,255,212,807,936,379,600,359,791,343,865,912,055,042,070,433,723,
574,395,775,229,567,873,239,771,810,618,399,262,188,113,463,068,031,675,769,
316,349,458,241,697,240,114,706,431,395,722,214,122,814,634,964,932,372,140,
242,666,623,982,366,513,363,705,140,614,676,166,327,885,083,722,457,738,690,
416,762,630,942,492,054,924,502,681,859,086,137,964,355,480,723,738,619,329,
752,710,452,880,585,469,673,486,890,565,911,408,829,728,094,892,671,256,080,
880,536,028,650,065,520,079,383,584,514,558,439,006,149,681,054,547,153,724,
936,326,229,108,815,204,696,128,533,043,228,811,505,976,847,544,769,863,746,
397,139,036,376,966,779,605,720,226,084,986,431,791,161,597,110,942,232,477,
644,990,999,384,454,601,486,972,692,105,794,910,950,209,587,598,678,844,493,
961,863,781,819,351,696,107,170,174,811,515,034,267,382,720,418,869,006,314,
390,434,671,531,771,066,474,940,994,697,693,126,327,905,508,711,882,995,233,
680,986,213,611,151,152,778,732,868,505,588,593,383,122,700,862,691,881,892,
953,711,081,177,121,393,023,299,318,332,165,674,820,841,873,230,778,393,505,
034,807,179,636,227,894,020,464,169,232,333,093,553,821,308,802,732,339,577,
172,133,692,009,250,521,183,495,382,941,116,485,308,969,396,496,333,575,566,
286,674,946,581,201,314,882,692,140,459,061,495,875,206,988,125,501,910,540,
688,908,519,079,480,125,104,442,386,739,998,969,359,987,246,678,076,412,565,
536,707,214,601,548,083,582,101,548,262,083,090,404,755,920,371,050,705,765,
174,973,806,542,801,651,204,035,352,828,629,244,445,744,122,809,998,869,190,
038,343,281,948,088,452,019,788,916,330,656,671,859,118,908,250,661,078,914,
530,366,288,067,549,604,439,671,908,864,998,147,046,741,554,184,682,385,075,
205,222,550,463,095,779,791,538,684,445,735,946,743,228,940,955,153,032,597,
778,261,480,626,491,038,546,059,294,103,835,154,655,594,777,434,704,353,323,
232,004,959,867,365,916,826,236,670,484,718,800,054,189,749,582,623,407,228,
932,387,158,777,606,118,115,245,332,209,113,706,316,308,572,567,522,887,513,
451,067,238,421,874,072,845,068,580,016,154,941,646,696,878,849,210,743,050,
686,281,315,805,625,436,315,131,688,309,216,325,668,075,659,171,077,188,298,
745,411,629,519,031,992,067,057,529,879,366,295,702,905,021,493,583,865,451,
688,882,403,909,887,645,478,545,157,077,425,406,813,582,420,159,200,729,803,
904,565,356,948,375,611,295,039,464,417,068,866,817,407,946,340,054,161,077,
095,559,199,892,681,008,270,678,509,538,242,422,020,243,075,982,860,662,218,
693,762,541,661,410,921,554,064,803,636,335,004,600,254,460,563,363,635,462,
723,051,220,173,364,964,725,926,298,965,665,449,111,617,323,903,027,360,292,
871,485,049,020,196,284,917,927,069,107,617,452,263,491,924,219,735,766,884,
028,854,383,625,060,951,204,872,934,947,073,461,406,685,923,166,115,140,939,
966,950,838,343,047,528,883,697,651,134,777,460,820,265,100,353,755,958,813,
097,456,844,881,821,577,449,084,537,810,995,399,226,589,380,998,868,351,562,
808,239,061,632,261,267,427,325,895,457,516,231,466,617,617,529,171,406,932,
164,817,770,749,910,296,808,587,397,707,117,956,060,821,522,616,307,898,467,
549,232,205,178,497,715,929,692,151,874,302,802,992,306,430,108,244,966,225,
422,653,577,077,832,035,595,470,018,007,443,422,424,470,618,612,737,394,662,
519,330,325,418,912,814,060,488,510,797,277,961,681,563,792,869,793,785,785,
776,045,071,800,989,491,916,391,959,040,864,102,802,936,078,340,027,277,131,
307,963,837,297,159,630,222,080,034,072,471,203,698,378,937,791,575,947,356,
562,354,783,463,539,166,073,201,372,996,641,326,300,784,648,416,581,401,012,
185,185,955,369,066,328,836,823,907,925,812,235,787,359,613,762,806,331,022,
545,178,582,442,005,533,904,485,789,795,279,835,637,034,661,142,464,055,477,
734,085,122,492,352,600,914,634,001,843,531,410,869,407,014,309,827,178,871,
643,712,027,797,980,678,177,403,011,834,224,354,240,795,590,413,042,591,590,
243,243,404,328,439,672,610,138,561,969,486,636,070,396,794,170,001,783,130,
043,512,146,596,383,538,737,051,908,093,332,958,089,386,750,465,195,219,019,
146,801,946,655,279,475,470,724,602,781,701,100,255,583,191,594,034,678,718,
480,101,374,033,150,376,036,635,479,075,579,149,722,948,355,938,116,410,051,
539,783,564,530,329,223,430,483,148,863,308,457,791,861,657,267,426,341,012,
783,858,556,422,074,073,720,413,677,211,375,457,333,421,137,121,361,789,635,
574,081,639,142,184,718,250,647,871,664,221,982,691,317,595,251,944,875,407,
260,769,029,753,283,431,803,965,084,023,567,273,657,915,588,262,237,873,416,
529,468,523,514,372,645,607,219,114,666,124,081,174,790,101,927,858,274,880,
327,013,090,328,023,674,558,655,752,301,302,783,995,628,684,566,628,849,781,
021,996,159,290,335,085,877,936,740,240,450,639,433,732,969,030,420,331,970,
902,714,180,854,370,012,976,322,256,586,365,802,200,093,152,217,147,379,162,
511,628,071,724,750,410,174,416,052,728,826,184,264,621,975,125,231,594,205,
123,507,400,413,957,985,717,689,435,056,793,623,552,211,808,816,083,532,682,
443,697,288,410,338,485,160,502,399,903,297,179,985,242,780,201,257,847,045,
765,142,423,141,203,247,997,907,004,673,227,764,418,243,088,925,429,000,205,
971,351,612,336,884,785,348,437,126,199,266,386,120,665,469,327,224,877,594,
902,997,209,222,906,610,126,657,645,975,581,552,208,212,247,836,094,273,994,
146,780,424,043,508,746,974,081,028,978,427,426,747,751,606,627,163,831,174,
658,268,543,111,206,544,160,414,591,504,895,648,064,054,649,379,427,348,750,
011,341,800,968,586,311,642,586,085,682,408,453,483,786,622,831,891,901,373,
334,737,176,035,161,831,432,540,112,756,744,968,510,975,785,948,417,583,405,
464,807,289,560,287,997,471,435,685,538,064,351,428,116,483,092,850,447,843,
687,537,383,912,578,480,162,185,682,063,288,866,924,909,182,671,640,605,970,
051,566,384,107,675,350,747,358,029,687,171,274,245,019,568,670,995,946,953,
039,524,370,351,911,162,388,969,486,485,275,462,029,886,565,233,242,773,174,
428,318,943,997,503,603,205,686,411,862,197,904,061,015,391,409,399,844,083,
169,598,594,496,434,035,716,135,928,414,673,304,915,065,333,563,049,836,026,
126,407,522,930,396,541,749,105,689,020,621,759,644,592,661,333,596,302,811,
292,241,823,462,807,661,143,813,968,829,477,823,058,168,557,742,641,171,015,
627,198,091,245,028,636,318,523,872,126,717,984,515,316,991,787,788,984,632,
955,532,251,601,073,345,694,134,931,869,229,154,857,252,399,496,279,935,996,
148,038,866,007,889,459,551,861,482,498,094,920,090,620,103,218,734,664,889,
259,409,809,267,102,453,975,083,147,171,693,877,556,762,326,363,586,570,034,
277,547,656,904,094,559,459,765,144,459,853,506,877,098,548,520,384,596,239,
369,478,969,758,481,328,506,946,182,144,720,868,518,314,121,413,482,400,267,
437,059,561,429,120,951,411,342,517,547,707,850,181,148,083,210,867,090,892,
975,261,614,874,915,607,089,629,221,024,209,070,144,110,445,849,673,421,461,
910,111,678,175,376,507,849,644,722,049,127,507,885,197,134,729,951,423,917,
919,219,937,836,570,261,695,305,121,029,087,186,594,547,727,044,064,870,510,
336,001,945,666,090,592,521,342,749,256,960,041,289,198,583,989,739,378,443,
972,771,102,789,835,582,416,713,428,379,205,535,789,845,745,451,324,739,581,
140,216,272,359,077,228,468,620,556,022,952,588,896,139,854,925,592,844,915,
988,469,790,013,482,497,802,288,585,523,920,000,060,887,397,073,638,959,713,
222,312,469,591,867,355,559,189,342,537,675,426,875,194,439,376,734,100,195,
269,753,817,001,501,009,006,644,692,300,085,325,913,724,897,728,596,018,879,
176,754,105,616,639,407,628,993,787,641,606,568,694,737,842,977,341,890,785,
134,430,349,221,396,974,109,882,888,288,994,441,040,230,500,415,535,262,042,
814,965,364,965,166,592,678,901,085,381,822,758,766,097,593,171,921,966,973,
881,293,787,443,267,973,878,963,825,782,340,893,353,299,562,030,772,643,770,
325,244,242,985,761,499,013,967,282,626,321,688,594,108,917,798,875,802,564,
710,683,462,209,988,198,623,656,370,780,113,116,675,330,787,895,765,568,074,
016,729,365,214,774,267,734,141,347,095,619,406,209,434,151,821,720,170,089,
460,156,568,571,780,354,904,239,224,160,563,418,841,448,137,236,664,511,784,
531,322,714,845,485,575,772,071,946,371,017,114,844,261,733,575,711,129,082,
889,240,372,815,002,841,554,997,512,702,673,472,248,479,697,176,020,133,759,
358,297,811,117,391,672,994,480,312,401,411,377,687,144,456,219,757,890,503,
291,348,442,833,097,097,096,921,146,704,058,427,453,663,878,631,259,280,465,
488,048,068,700,108,945,498,554,032,492,531,780,322,747,618,904,719,985,606,
112,746,889,649,279,731,332,570,712,989,707,413,546,945,235,760,541,289,242,
461,296,458,145,393,635,864,797,142,580,137,114,381,095,759,533,107,928,729,
825,085,725,937,148,015,622,426,658,024,573,222,841,896,282,897,416,516,183,
014,886,846,381,980,484,090,178,820,672,536,428,868,235,813,820,105,943,461,
148,865,688,881,521,644,927,823,637,948,809,952,817,330,721,203,502,085,347,
681,292,833,712,314,757,352,052,519,572,383,469,787,691,421,044,987,975,968,
392,411,795,019,815,293,384,055,433,517,453,313,481,836,581,514,402,797,942,
863,641,413,785,941,525,779,877,691,882,182,835,396,644,118,411,310,183,737,
945,700,284,699,153,452,468,847,229,726,907,233,512,126,194,396,748,660,468,
278,890,831,630,631,571,498,169,003,754,207,215,323,396,778,630,620,340,063,
938,892,503,814,917,016,682,914,372,779,564,740,416,246,692,322,917,438,182,
415,496,410,655,707,376,903,948,563,205,742,269,072,917,046,680,309,395,519,
131,356,721,621,625,733,280,207,132,987,857,494,429,775,103,122,344,476,984,
259,495,603,458,615,865,986,093,453,425,098,185,201,886,781,678,341,046,228,
704,206,383,620,920,821,945,213,690,797,869,584,021,343,065,487,951,342,429,
601,447,477,926,869,496,458,729,388,134,037,475,485,707,519,378,916,454,107,
102,746,148,485,783,224,270,563,080,692,014,494,340,527,526,399,908,089,460,
466,519,434,659,523,528,917,646,597,483,083,382,447,891,143,507,839,988,372,
901,588,242,473,997,096,815,479,111,832,793,184,591,471,325,070,555,979,671,
519,385,180,505,096,397,994,033,491,003,302,401,225,235,725,842,760,461,374,
225,080,951,379,582,830,914,253,286,021,347,126,350,709,686,740,413,239,368,
519,291,975,012,582,600,078,662,846,392,771,205,122,413,783,432,563,992,428,
230,179,408,085,959,795,448,335,791,272,046,491,774,528,294,462,124,346,603,
837,039,131,614,655,885,472,653,053,611,621,639,498,541,462,471,217,214,627,
650,422,854,232,420,993,210,976,471,437,161,181,984,251,139,714,241,311,171,
181,878,380,929,904,113,309,641,479,619,279,980,790,713,810,247,679,988,504,
751,785,757,569,307,806,366,417,969,900,968,214,448,876,287,237,753,925,415,
989,413,560,809,362,591,459,388,462,633,653,435,539,810,392,539,232,173,937,
184,451,653,250,027,617,073,268,030,840,053,565,268,679,943,802,908,323,692,
461,621,053,832,971,581,615,950,703,591,772,803,887,351,753,342,002,250,060,
653,187,434,228,750,308,135,640,618,631,670,014,359,038,259,533,115,149,158,
384,913,253,559,820,795,932,070,880,893,913,479,072,507,316,642,107,548,528,
064,664,487,475,475,606,396,220,030,852,531,367,329,536,496,057,315,155,345,
939,463,680,425,423,365,858,788,950,217,507,588,760,301,393,722,958,923,121,
363,457,939,526,950,093,619,329,264,551,907,987,903,252,707,266,491,328,520,
796,298,531,067,276,328,236,521,302,461,927,526,363,856,358,297,991,290,204,
506,286,111,280,807,568,181,030,126,703,966,948,505,549,799,289,938,751,045,
360,701,336,627,647,172,862,475,810,995,363,420,101,973,832,827,148,416,157,
205,160,546,929,761,632,444,965,883,588,218,744,111,488,970,157,658,966,068,
242,957,236,939,987,059,255,530,813,266,793,207,645,381,912,139,605,505,546,
503,711,223,712,828,622,618,440,315,757,468,186,882,833,134,656,145,827,317,
478,688,695,475,395,518,697,604,472,762,902,285,932,172,957,598,449,353,886,
866,673,392,568,606,361,998,949,829,820,104,237,050,036,125,644,517,152,767,
954,400,792,640,437,725,333,309,414,847,068,886,824,910,788,781,386,043,189,
124,145,540,823,684,263,978,517,502,076,556,443,146,555,744,216,546,614,988,
157,695,795,319,858,636,990,333,536,947,550,039,720,833,870,371,964,577,782,
547,184,349,718,899,209,538,413,218,942,235,639,793,996,147,491,378,537,937,
413,277,481,174,143,662,138,025,163,713,600,667,173,020,808,288,171,971,825,
602,223,774,260,172,686,753,447,579,663,819,836,861,365,028,447,848,074,298,
192,660,878,624,176,970,120,129,704,949,045,020,137,558,333,157,771,281,464,
147,860,861,907,263,993,374,747,643,263,586,161,692,995,492,816,387,756,813,
315,398,698,420,921,113,620,120,480,497,778,100,710,020,715,282,845,772,012,
042,315,940,681,365,152,693,524,435,387,372,058,416,227,145,866,456,308,614,
854,521,867,838,003,553,854,846,923,001,328,801,189,230,458,322,727,884,198,
573,588,637,004,516,989,535,416,081,445,838,925,125,040,385,354,844,705,656,
129,819,403,328,752,393,055,591,405,861,715,424,069,120,947,772,898,515,826,
190,593,210,145,031,795,553,486,691,850,596,048,307,388,844,369,897,935,766,
757,033,627,664,368,417,116,207,198,161,442,075,138,037,564,087,177,394,999,
394,898,702,644,001,368,992,732,840,790,618,823,834,240,861,175,827,005,327,
852,704,736,370,793,664,587,845,966,762,258,458,111,386,488,147,341,966,611,
469,302,337,928,430,310,620,226,548,604,822,080,904,154,650,338,496,996,623,
551,430,572,983,375,558,350,532,432,623,223,919,212,148,559,728,755,132,441,
732,443,180,864,238,447,530,534,012,513,152,199,120,367,825,402,952,611,492,
413,569,148,060,657,434,498,255,383,023,582,557,751,147,358,848,217,668,540,
710,133,011,338,233,630,910,641,468,954,360,976,681,495,476,656,345,152,433,
355,411,267,691,306,985,405,072,261,837,805,629,206,866,957,424,584,053,652,
769,327,682,004,672,447,136,586,966,180,680,114,297,302,632,294,441,472,152,
366,063,628,759,180,913,859,951,252,368,687,995,558,578,476,579,081,333,514,
391,758,194,579,040,020,827,751,666,112,622,646,744,568,644,776,385,588,663,
080,737,349,423,778,232,822,229,515,490,982,617,215,015,064,462,566,467,696,
031,407,830,351,158,295,379,841,295,934,402,116,338,106,448,711,632,920,912,
900,596,022,463,622,271,981,694,219,318,497,023,662,603,965,864,533,513,506,
594,126,124,436,879,065,230,302,090,693,297,649,690,787,748,727,946,280,694,
177,479,313,265,244,605,284,474,973,294,008,900,973,718,750,830,378,075,607,
852,657,119,977,303,186,938,386,782,838,562,005,557,723,339,370,306,974,771,
782,214,324,377,234,655,179,312,815,835,342,246,850,201,010,580,099,214,292,
424,784,998,302,107,444,280,232,651,985,891,103,254,071,456,049,171,842,023,
159,483,262,643,751,029,064,054,912,289,576,569,978,419,104,377,843,204,133,
300,901,991,026,531,392,045,163,688,657,956,898,778,182,514,551,791,312,359,
715,741,950,652,615,917,034,737,030,724,093,586,461,149,492,987,710,817,952,
851,135,339,661,360,867,375,740,286,838,888,460,183,973,032,809,902,694,705,
363,299,713,336,943,385,318,276,097,936,685,237,609,046,844,910,970,304,951,
659,106,987,971,553,755,382,521,222,576,698,595,907,103,388,913,303,843,271,
115,791,070,044,260,001,079,926,647,915,602,826,171,462,060,569,285,587,156,
166,562,250,597,007,864,056,437,475,747,785,670,108,225,998,732,260,118,132,
705,406,838,969,570,281,410,199,245,893,128,434,040,168,921,096,766,031,422,
699,148,572,381,985,157,979,519,529,728,835,293,292,376,854,481,149,815,649,
129,906,897,545,842,585,934,387,190,251,613,186,065,574,251,902,118,699,943,
979,664,268,523,968,560,211,821,032,394,838,246,195,027,824,130,502,209,396,
883,496,395,047,864,507,336,334,286,023,230,950,647,091,964,355,633,230,150,
938,321,266,358,682,447,615,756,356,272,819,052,892,751,545,550,337,998,402,
556,417,079,202,680,866,197,788,952,105,964,091,239,555,308,151,165,744,865,
859,734,049,818,034,930,338,240,269,136,293,188,579,691,487,689,813,748,795,
521,718,506,785,875,942,328,658,133,448,441,492,967,887,586,329,082,665,134,
320,808,782,291,545,194,222,898,874,713,258,673,786,371,804,306,228,113,625,
641,722,711,500,589,752,699,709,802,388,155,045,953,944,091,200,535,403,653,
386,660,693,147,353,458,348,819,974,073,915,226,990,793,203,287,319,560,362,
211,552,962,439,989,336,348,476,937,990,256,488,182,698,124,156,465,041,675,
198,548,061,031,990,025,317,945,050,667,396,108,984,797,662,561,753,025,123,
716,266,937,302,561,474,712,806,655,817,095,422,959,391,833,006,967,698,964,
434,873,485,145,510,078,912,647,062,375,967,929,236,648,839,421,672,892,704,
174,272,601,716,188,453,768,928,256,824,051,553,112,272,805,354,587,633,290,
668,032,354,164,233,217,067,037,730,253,262,275,894,279,506,756,900,341,281,
134,693,379,991,737,464,496,173,906,096,426,159,233,085,813,288,638,209,516,
341,097,251,294,923,265,598,153,708,805,792,489,857,512,617,978,148,693,351,
938,551,398,217,644,787,124,618,792,032,308,634,988,417,828,447,872,032,386,
521,552,575,516,358,364,782,650,073,908,117,550,714,749,428,705,301,443,641,
921,771,487,990,941,507,874,706,506,505,854,366,399,091,047,510,526,998,749,
899,852,765,156,394,409,973,366,961,076,473,175,330,640,691,100,660,242,346,
201,425,063,196,280,479,011,989,513,362,677,314,083,985,369,705,042,308,074,
923,014,118,846,412,382,057,356,519,134,952,284,234,369,274,980,790,032,868,
536,443,059,382,777,863,788,862,505,536,481,734,074,089,234,278,642,933,611,
584,206,869,344,608,960,835,570,177,014,629,064,844,805,907,112,930,277,865,
032,594,383,933,843,261,389,010,517,202,204,002,699,151,659,276,586,795,463,
537,172,415,495,622,914,692,403,960,407,095,340,908,021,752,482,101,927,771,
518,911,548,234,254,306,140,716,329,962,588,136,427,427,306,045,021,551,022,
090,372,232,868,614,441,948,644,705,140,899,638,381,587,223,686,588,853,283,
486,489,586,535,146,630,005,028,769,902,023,728,436,644,927,957,008,045,553,
862,615,551,960,210,303,676,894,491,441,137,647,437,663,541,742,361,695,734,
743,291,097,444,206,828,562,449,800,252,321,592,407,211,724,274,439,942,123,
265,047,222,073,358,476,630,052,948,343,472,375,183,336,130,016,194,597,403,
154,481,009,826,424,537,797,801,911,451,216,250,062,129,200,194,958,399,726,
829,199,302,170,159,721,840,228,041,919,533,005,947,301,016,888,128,099,252,
581,213,329,354,763,516,500,251,694,155,301,952,967,340,764,605,740,859,861,
750,682,492,725,865,505,364,826,973,664,752,769,594,354,848,898,638,170,356,
215,056,394,772,952,082,639,538,866,247,419,692,485,261,744,765,670,515,448,
849,181,882,306,318,172,518,226,401,941,080,364,796,104,253,346,540,518,667,
229,630,311,712,391,363,061,093,723,855,489,957,643,317,592,266,553,121,039,
348,550,973,107,267,856,724,736,655,580,831,226,944,970,968,586,374,487,029,
800,654,000,145,948,235,557,714,183,089,114,371,218,329,147,452,165,543,100,
172,228,221,161,287,599,897,783,068,434,147,912,513,795,784,782,793,871,221,
182,140,484,768,711,040,374,950,428,366,499,305,134,966,621,406,205,281,458,
115,482,834,973,124,087,418,016,885,137,679,216,159,276,938,862,798,528,578,
386,042,334,423,217,124,916,991,975,056,774,648,450,563,616,203,568,001,585,
256,784,355,242,514,406,680,741,282,275,297,543,885,184,644,296,360,155,191,
392,275,932,300,357,167,947,231,166,589,678,764,598,864,682,911,206,757,462,
663,572,018,811,962,325,442,604,723,270,789,040,967,833,127,150,236,939,404,
846,663,105,267,133,514,273,210,552,775,092,905,557,341,708,301,023,692,632,
709,785,948,375,676,995,647,151,882,249,091,819,162,359,742,478,106,956,797,
914,130,298,706,779,520,267,450,788,033,304,470,060,646,963,851,019,232,790,
512,470,682,555,509,006,985,812,154,260,605,175,272,914,463,427,203,334,196,
305,234,499,406,033,907,577,194,735,552,165,905,109,200,929,778,270,234,959,
860,916,454,606,337,289,207,366,254,475,662,500,403,050,674,397,488,095,592,
197,040,097,711,702,181,633,934,584,004,806,807,613,317,942,410,480,809,785,
133,724,275,142,214,407,477,528,766,884,022,515,683,480,641,007,415,549,231,
277,904,208,593,312,643,207,126,477,318,223,555,661,345,553,019,344,491,890,
165,177,541,279,681,267,157,666,792,897,423,410,269,649,217,045,995,564,461,
819,554,393,722,861,938,973,322,910,253,325,364,547,087,048,904,499,623,135,
322,123,585,439,645,793,618,772,866,604,951,255,432,193,357,818,348,549,436,
492,397,861,481,575,642,450,912,980,387,252,785,316,841,788,045,258,083,982,
781,135,751,391,809,900,568,438,534,984,766,702,432,959,791,482,810,178,671,
990,361,212,074,947,582,889,783,981,256,889,335,053,657,397,887,072,653,231,
627,052,343,516,111,456,308,169,867,921,602,313,465,867,163,587,885,896,909,
727,246,299,466,242,439,820,327,688,573,572,069,390,346,546,882,059,130,829,
446,065,286,900,112,159,283,726,210,463,889,819,076,558,449,893,816,701,047,
771,029,908,279,516,545,316,872,678,956,744,485,740,690,201,907,139,159,197,
937,060,916,929,280,752,352,094,155,039,672,490,054,550,056,156,704,103,078,
544,362,041,173,018,605,892,777,127,578,545,941,510,846,211,466,732,199,821,
982,844,739,382,565,508,093,614,637,422,404,135,848,803,940,901,515,451,496,
086,494,669,191,518,238,223,078,880,576,957,478,468,215,095,845,941,994,106,
828,864,937,720,821,010,424,869,173,513,576,463,351,424,520,829,589,207,936,
961,568,146,874,698,905,009,026,406,981,666,103,640,841,936,613,953,170,198,
374,826,133,477,159,808,408,842,210,327,227,352,842,830,700,474,864,470,470,
506,005,653,126,217,651,803,389,148,658,320,246,349,056,229,722,977,114,004,
998,079,837,097,157,671,415,361,786,630,238,485,851,984,267,861,530,226,042,
126,838,463,895,895,985,381,074,703,902,999,142,900,167,274,172,107,065,564,
245,304,272,705,549,730,123,619,057,166,008,785,415,096,102,776,369,237,446,
812,138,553,956,075,581,210,320,491,768,130,202,718,471,583,536,994,610,031,
287,551,173,650,897,529,301,082,635,158,893,058,125,740,833,952,328,365,727,
885,565,691,330,430,968,551,765,651,851,153,081,449,979,588,328,445,236,889,
125,285,995,878,232,872,396,303,192,440,259,005,879,343,905,970,428,033,641,
874,732,798,423,704,769,411,068,163,517,200,180,130,183,517,926,784,956,665,
017,131,074,056,525,836,968,700,065,948,156,055,137,989,374,427,836,799,097,
833,050,874,694,703,947,749,877,593,517,845,321,462,829,580,589,231,751,215,
718,456,046,487,982,812,224,788,597,028,939,258,905,361,470,580,344,014,754,
656,923,268,120,919,119,608,537,461,850,292,114,138,350,366,144,775,208,551,
313,578,204,148,954,973,172,155,357,653,077,973,486,311,057,497,028,725,839,
446,986,705,855,139,383,142,053,688,110,220,003,203,662,499,682,502,529,369,
188,462,354,086,956,705,944,763,559,075,155,040,858,229,978,912,575,230,034,
729,401,422,289,478,117,819,979,810,977,578,287,674,490,117,069,285,253,580,
233,986,522,649,487,651,743,923,755,435,869,506,748,274,902,545,190,464,773,
069,373,641,802,004,006,414,845,274,476,106,555,680,344,637,161,726,232,710,
891,287,389,806,640,435,659,609,269,815,530,500,127,779,973,030,481,243,180,
057,978,459,663,392,413,739,607,066,336,288,178,248,990,495,768,416,616,158,
534,374,066,729,508,173,341,155,762,083,931,622,250,460,685,077,176,840,514,
828,420,975,147,367,476,790,697,616,222,713,858,533,933,862,470,787,062,156,
498,305,167,057,114,963,009,610,779,546,332,327,891,475,164,251,717,519,448,
095,455,499,208,383,845,893,826,227,166,216,751,631,625,961,202,092,657,346,
059,428,728,471,317,517,966,021,002,062,403,222,314,091,540,050,672,466,403,
894,721,706,021,096,986,738,904,256,131,568,092,342,445,880,936,423,345,785,
063,604,314,166,489,233,678,057,068,222,301,028,793,831,987,073,947,226,234,
906,434,144,912,189,637,427,226,236,348,658,551,846,342,974,742,221,616,077,
138,340,274,404,190,766,395,092,081,393,657,241,498,671,480,578,385,696,482,
941,676,128,345,356,614,616,285,166,420,062,428,844,429,083,896,175,633,505,
054,048,839,539,745,548,632,192,566,518,754,408,933,784,273,487,787,861,606,
689,463,237,079,727,943,237,396,506,877,865,112,623,421,799,420,827,327,151,
795,022,645,165,599,820,316,551,436,638,126,886,941,871,682,975,492,129,751,
701,621,606,930,868,077,607,145,745,661,245,720,717,757,816,543,978,937,084,
660,851,231,277,862,871,557,579,754,360,115,301,233,671,220,223,196,720,726,
307,436,489,555,588,296,565,796,037,618,445,590,809,976,429,518,045,239,019,
986,697,389,564,766,106,895,942,312,292,199,772,342,098,102,898,918,688,982,
712,168,568,839,349,946,057,794,344,390,600,216,705,636,179,730,871,893,850,
141,285,082,625,600,396,254,491,633,597,447,868,924,907,713,188,010,414,808,
856,581,614,185,950,593,176,095,630,978,868,619,988,433,903,537,295,220,741,
240,513,909,095,133,926,194,906,558,036,414,859,494,934,651,074,502,741,395,
655,417,359,533,282,535,115,164,750,980,352,720,420,480,335,793,815,399,501,
869,501,056,998,530,283,068,385,719,428,098,922,191,777,365,736,512,715,820,
255,509,708,274,934,122,182,297,155,235,747,294,775,979,045,187,955,477,941,
510,166,663,163,653,954,949,336,932,747,272,476,804,448,164,764,891,536,924,
734,290,879,934,743,108,262,532,766,556,731,158,868,113,745,840,934,904,359,
640,955,650,717,908,120,915,432,475,747,123,470,854,880,580,439,740,227,719,
888,665,599,411,172,431,075,292,592,545,281,342,932,456,699,977,535,272,213,
304,873,491,840,916,898,786,706,188,300,381,439,186,584,067,280,126,829,086,
836,213,334,158,589,521,351,047,993,360,320,530,806,513,898,213,507,598,527,
823,455,780,273,812,961,180,601,584,754,901,032,830,197,455,281,414,610,731,
543,799,922,897,995,967,794,855,016,139,978,568,517,594,748,072,052,264,737,
984,797,360,377,191,528,969,915,632,360,323,066,352,161,734,232,626,747,852,
941,288,802,243,589,433,057,211,289,709,032,695,291,225,628,307,831,204,604,
991,108,387,831,797,379,361,616,927,477,149,175,829,296,795,630,217,944,157,
035,763,545,029,598,449,191,513,064,994,988,798,503,263,485,426,431,111,590,
149,951,318,011,703,704,931,575,880,900,005,374,675,396,749,078,766,997,649,
386,112,532,678,009,291,241,514,749,527,972,516,624,215,793,795,714,794,470,
657,138,511,187,067,171,679,492,388,915,030,532,403,634,084,929,116,603,401,
737,421,334,880,770,318,353,636,167,982,105,626,003,241,384,698,403,829,468,
794,167,798,208,055,701,901,180,258,175,232,841,946,135,892,217,643,268,795,
273,325,163,930,386,736,455,333,332,103,789,049,817,280,065,937,482,231,624,
602,297,274,319,992,042,795,761,920,742,436,299,493,729,606,024,914,883,951,
026,523,142,487,453,382,108,120,807,617,352,603,596,930,517,800,400,221,250,
550,577,249,522,083,528,546,290,018,484,035,460,752,005,008,233,864,781,348,
584,480,688,990,493,280,244,092,878,579,714,876,883,637,771,416,237,867,124,
736,024,583,095,572,301,660,510,197,964,684,325,812,856,895,894,530,149,541,
273,335,398,737,732,878,338,333,409,007,305,710,981,379,478,025,219,898,397,
113,028,114,654,874,688,912,365,764,774,488,125,212,883,633,087,299,274,078,
318,304,880,128,521,459,692,180,369,332,007,561,277,078,372,061,446,533,590,
778,735,980,085,327,131,170,709,327,945,976,826,337,509,036,324,308,282,754,
163,764,731,788,246,815,173,379,057,918,004,325,785,681,271,229,035,729,838,
374,336,682,358,433,250,261,116,070,999,798,150,619,212,783,363,750,093,881,
362,575,355,312,562,426,268,230,109,077,001,246,821,007,305,591,173,081,342,
994,590,014,906,107,908,987,074,536,338,848,028,728,867,399,946,419,080,009,
685,197,972,644,312,278,916,999,221,131,980,124,456,844,424,231,747,331,887,
115,930,016,433,147,409,975,464,981,391,011,471,442,065,954,116,777,556,546,
949,074,722,279,678,919,875,658,716,193,439,040,757,216,346,240,889,320,763,
511,260,026,764,166,005,399,544,757,632,821,573,544,210,981,327,081,412,012,
521,579,200,774,578,245,310,521,888,102,630,624,046,298,382,329,511,758,039,
670,474,387,088,511,086,110,671,815,201,415,257,450,385,039,283,512,523,790,
444,122,790,628,345,806,913,581,893,995,688,824,776,535,363,954,689,105,528,
601,608,930,907,663,304,109,135,074,358,254,329,881,186,187,989,978,325,439,
147,141,490,282,701,216,861,158,122,735,594,097,350,071,310,567,680,062,627,
084,374,280,508,101,118,409,043,503,081,211,537,036,235,770,337,875,160,790,
525,996,711,187,829,334,636,277,782,289,750,533,477,290,159,028,885,202,757,
176,648,412,767,693,835,803,041,063,563,274,786,113,504,529,089,129,399,634,
089,892,874,510,912,708,059,918,129,512,401,953,640,692,504,691,234,005,185,
052,579,095,587,072,608,177,289,749,588,181,929,104,561,515,525,633,071,808,
560,086,550,812,210,978,972,652,599,115,713,356,465,496,928,849,816,097,905,
468,185,477,182,774,137,663,101,694,509,526,343,810,891,205,462,356,365,348,
737,009,569,828,138,218,257,294,440,344,033,489,564,155,758,881,936,114,928,
485,387,712,876,297,455,362,985,599,743,479,539,065,878,960,273,660,005,729,
667,837,629,569,543,612,818,162,408,623,789,575,711,295,182,058,819,755,309,
842,081,191,125,917,716,700,951,395,338,997,666,300,058,361,996,439,452,142,
692,801,661,885,342,951,272,800,468,493,306,523,255,201,091,659,358,249,705,
159,393,029,941,615,450,528,047,751,166,625,805,537,708,642,128,728,377,131,
137,825,608,649,655,501,394,540,440,457,245,536,655,689,302,515,650,431,551,
998,054,669,778,376,035,763,565,409,581,353,439,613,816,865,109,307,774,543,
305,840,326,299,530,883,902,724,738,771,456,912,840,785,159,303,963,976,357,
168,727,873,625,656,325,853,627,144,827,743,999,180,257,515,637,684,049,983,
601,139,478,401,155,006,519,725,010,302,056,048,748,459,472,496,650,696,351,
244,939,648,938,032,916,070,412,451,682,083,337,674,779,657,653,444,819,320,
821,856,220,906,267,667,874,660,220,414,588,367,595,197,530,209,738,860,309,
754,413,369,477,022,544,121,736,410,584,390,912,520,472,715,395,570,963,780,
797,224,539,332,020,297,349,717,773,885,739,480,776,841,750,458,163,595,538,
540,864,870,366,337,738,490,002,876,002,312,594,726,706,395,605,560,177,061,
555,845,137,430,752,029,384,751,683,076,022,746,701,298,132,918,892,803,090,
870,598,583,126,911,456,424,801,939,252,294,346,553,346,188,703,948,953,309,
297,909,093,969,352,768,300,783,431,280,536,042,201,859,993,378,384,733,616,
152,216,278,328,507,229,544,246,184,748,564,296,413,804,035,411,071,427,983,
752,152,471,045,754,296,413,877,556,675,380,309,542,352,190,646,572,945,356,
854,514,524,304,284,876,487,726,642,363,852,324,127,008,172,679,302,389,453,
789,813,594,294,216,834,085,576,919,779,640,030,128,184,927,618,103,667,187,
253,955,091,371,169,566,730,507,189,272,379,087,294,637,636,722,083,034,590,
630,821,496,126,930,190,721,760,143,610,396,042,929,053,595,132,446,032,882,
224,958,947,787,046,240,841,657,441,417,018,883,553,193,707,334,991,479,949,
188,887,472,389,916,810,321,611,930,000,761,369,390,631,645,180,328,922,296,
630,807,497,212,464,835,545,934,853,590,500,879,911,289,008,053,168,344,421,
504,962,059,191,020,567,611,687,284,563,772,672,587,084,283,131,075,044,795,
114,456,499,565,726,309,394,902,743,007,873,468,985,057,695,918,355,088,137,
867,159,173,552,306,168,815,398,805,309,177,475,889,530,814,414,397,202,979,
431,111,326,090,970,135,934,615,892,607,244,467,095,581,058,008,262,639,505,
871,559,394,136,601,504,464,152,364,916,133,595,406,073,359,338,567,501,883,
883,418,910,028,205,455,468,227,906,027,719,849,527,308,692,936,803,116,514,
988,706,370,471,748,083,518,077,942,015,589,127,465,659,813,656,001,717,858,
013,177,865,043,297,360,307,460,978,344,321,930,826,206,878,841,509,837,615,
879,252,536,609,971,561,783,914,467,975,709,019,198,567,916,392,287,097,722,
252,225,327,378,289,339,853,306,785,291,148,809,511,501,470,671,156,129,795,
360,013,446,901,584,697,146,350,136,166,666,547,477,866,538,058,218,180,819,
660,388,829,582,873,766,686,469,961,814,273,630,283,184,622,122,941,502,716,
163,522,091,323,199,038,354,655,141,541,935,142,936,429,625,204,665,521,446,
030,324,755,617,712,816,162,545,283,615,495,650,235,082,753,316,491,698,694,
520,041,722,150,459,886,006,151,228,151,037,096,297,374,646,302,062,308,538,
789,227,969,422,069,980,523,943,123,067,243,628,476,970,765,556,748,531,273,
256,870,236,179,282,788,357,163,599,757,434,636,949,583,340,795,270,596,640,
031,588,884,378,263,729,759,777,300,808,374,679,657,022,033,613,609,413,079,
648,696,756,018,740,798,183,025,019,737,332,087,450,331,031,888,431,512,430,
289,020,624,352,889,825,499,392,813,557,424,729,136,884,216,132,995,726,024,
880,173,153,134,972,217,035,020,329,385,063,315,631,839,975,405,674,064,460,
304,384,066,041,420,420,734,641,320,127,147,762,482,575,255,768,966,058,758,
262,281,041,922,899,596,361,916,021,733,584,787,636,164,075,970,968,174,205,
150,074,764,730,917,690,125,796,556,257,928,783,343,679,739,785,598,032,162,
627,613,385,941,631,863,507,220,660,869,945,003,172,345,755,966,912,562,021,
150,304,064,877,151,673,819,892,682,515,624,385,947,831,181,876,139,478,015,
431,899,392,139,784,990,123,971,490,891,405,498,594,052,165,488,329,518,820,
034,347,140,597,738,592,299,419,466,044,200,855,707,435,419,771,717,373,194,
852,595,394,064,198,310,247,523,855,882,444,128,663,290,845,259,024,473,680,
973,401,284,105,168,958,201,906,099,606,733,702,404,389,252,186,025,785,224,
323,565,351,640,201,316,333,320,430,511,687,805,116,079,432,235,042,649,890,
005,781,066,964,268,807,768,766,024,398,449,928,857,730,525,880,402,742,125,
227,297,160,436,241,937,326,115,492,131,069,305,571,397,263,210,332,298,755,
869,661,897,729,020,188,713,248,664,390,407,970,171,719,619,375,038,328,208,
458,763,188,111,759,987,831,451,465,131,292,952,138,259,939,462,704,955,161,
005,829,224,090,625,024,655,314,625,735,533,360,772,455,104,388,238,396,799,
715,881,170,063,467,538,863,110,223,939,404,064,768,602,308,728,981,557,027,
005,422,149,409,962,973,777,486,204,203,346,393,392,690,074,288,070,143,525,
512,010,141,254,084,138,058,244,915,074,672,559,961,752,479,433,140,261,185,
339,996,035,521,647,792,025,929,230,826,473,226,572,891,592,289,118,197,615,
500,308,138,780,374,731,346,456,079,543,175,721,312,640,825,820,936,352,563,
335,227,658,994,719,121,564,965,511,216,001,036,101,860,312,167,536,919,494,
496,599,428,825,119,709,375,422,740,044,239,828,640,135,478,444,248,842,176,
245,002,340,562,165,185,842,722,767,676,507,404,836,690,782,077,505,274,372,
762,586,006,014,176,903,354,756,715,143,213,071,055,069,068,629,300,760,627,
133,316,754,208,412,478,157,270,051,568,156,646,477,874,466,675,330,573,290,
153,872,593,402,222,465,018,976,373,350,048,943,020,238,384,520,004,145,232,
077,509,096,068,094,906,685,668,329,184,057,701,065,532,515,092,076,295,166,
311,707,507,041,381,021,060,638,949,714,426,120,319,974,677,891,964,911,435,
236,042,904,088,918,007,235,535,665,901,397,940,911,868,330,729,519,870,835,
769,965,226,323,822,988,304,329,283,711,056,584,772,018,102,807,627,823,346,
441,981,781,968,077,772,537,039,745,275,510,945,149,809,048,831,117,805,486,
022,980,806,284,569,961,467,768,526,711,667,022,017,111,667,545,618,717,989,
219,119,459,262,552,654,611,878,638,294,736,494,557,269,884,142,097,227,013,
334,962,061,388,234,832,535,133,968,699,890,163,642,258,767,528,799,014,658,
164,843,264,121,356,134,499,796,160,451,674,393,630,154,182,031,941,679,784,
262,561,451,760,201,724,007,924,958,130,878,674,875,963,544,357,096,152,645,
371,523,669,073,050,591,456,851,540,614,767,091,592,989,472,003,405,778,334,
794,990,286,962,065,084,264,563,785,244,411,331,484,992,756,401,396,766,380,
970,830,454,595,864,836,801,897,937,479,162,833,069,602,902,573,850,436,050,
650,943,660,475,587,825,104,478,021,828,832,500,433,484,703,111,239,636,458,
080,238,750,135,954,025,714,712,306,209,334,080,122,960,914,125,302,110,953,
315,145,038,651,465,310,373,059,173,748,046,973,267,253,269,218,717,923,228,
387,238,226,421,928,256,294,327,993,927,230,975,547,641,484,653,035,471,236,
182,817,935,849,429,650,749,246,450,280,844,679,677,806,555,345,320,478,918,
491,104,215,108,918,387,450,099,277,219,615,882,407,141,245,154,591,230,325,
337,803,852,995,174,433,318,342,968,584,756,208,095,260,009,730,344,938,662,
220,618,658,699,474,363,382,232,163,720,747,720,083,005,257,562,938,941,099,
587,377,196,909,920,681,393,433,419,194,602,074,765,499,737,562,554,321,095,
371,959,607,423,540,187,569,380,380,865,603,953,344,208,122,446,182,594,391,
538,136,359,832,242,805,549,984,773,119,668,105,743,850,245,573,906,989,476,
268,119,445,341,195,323,936,080,089,193,188,117,397,406,975,328,060,491,565,
578,195,958,564,426,154,902,021,449,841,522,726,384,180,521,371,082,322,988,
873,846,211,596,735,007,880,575,953,046,677,378,881,608,833,816,796,787,601,
567,132,467,847,513,747,927,300,530,537,216,207,595,283,948,512,865,898,833,
130,715,946,820,782,749,323,802,243,483,813,013,396,558,683,509,025,197,875,
567,126,645,160,851,358,367,228,473,863,227,620,403,161,041,763,275,868,272,
797,544,687,073,109,572,858,417,700,130,582,192,518,002,319,073,641,788,666,
387,773,496,355,092,010,036,053,091,127,075,390,382,509,820,424,583,003,178,
735,570,974,111,950,045,367,122,214,889,185,429,944,009,339,408,265,708,734,
222,223,237,075,435,072,327,492,421,710,063,847,271,374,445,352,827,412,533,
986,578,576,643,294,475,523,964,541,971,687,793,148,187,237,456,273,219,278,
852,460,874,093,719,670,420,547,250,295,791,383,766,595,014,392,890,079,626,
985,862,430,353,914,068,561,680,974,133,168,249,134,203,404,028,649,568,751,
725,645,585,544,843,946,533,663,177,032,964,197,024,496,990,434,419,670,633,
607,189,970,745,426,994,217,174,193,782,685,576,586,039,246,480,710,165,252,
396,955,706,919,486,966,875,061,519,941,770,278,814,295,822,350,348,329,671,
334,029,480,020,496,451,520,229,885,396,495,474,790,556,448,307,439,779,102,
016,992,502,608,379,398,610,931,650,326,036,106,333,008,162,890,370,896,967,
691,964,985,479,028,868,690,641,353,696,780,922,241,281,871,630,733,174,802,
978,497,253,749,097,719,766,998,306,419,742,097,941,219,443,339,244,670,867,
422,831,375,215,237,123,413,347,397,643,367,735,475,566,953,042,273,409,597,
013,948,303,462,107,657,352,262,159,233,705,373,028,546,119,576,364,127,912,
898,712,370,662,548,390,015,625,366,757,847,265,008,190,989,316,348,242,240,
195,194,577,371,385,214,590,484,474,644,884,739,816,332,270,244,804,255,617,
665,376,115,378,406,858,397,658,237,914,064,159,236,017,435,925,793,989,749,
286,239,141,592,416,300,026,828,380,029,926,748,706,871,500,321,916,426,500,
035,102,601,393,636,657,491,069,164,270,670,266,457,232,224,981,465,444,611,
178,988,684,458,602,438,638,909,952,086,040,451,448,011,349,480,395,710,030,
444,674,661,920,094,021,522,136,462,385,287,734,598,895,834,222,200,526,524,
269,989,573,652,142,387,156,954,359,957,431,891,508,244,819,422,945,189,687,
545,350,625,285,877,849,006,867,469,620,762,067,095,688,529,094,678,422,644,
978,218,184,515,108,942,013,517,468,765,937,674,269,943,014,591,986,334,209,
078,516,597,184,135,079,201,449,225,442,659,778,918,148,692,578,810,425,407,
482,925,583,485,537,431,710,238,202,478,485,480,616,634,208,615,863,845,203,
059,683,232,991,245,885,555,856,640,895,914,028,664,750,965,267,458,991,508,
759,623,010,921,804,742,576,059,555,910,687,108,857,490,706,665,281,134,907,
594,192,468,092,177,875,090,483,527,818,470,742,110,364,122,816,870,808,156,
723,214,527,269,775,312,810,720,909,165,720,108,245,560,867,288,696,953,688,
488,019,833,017,247,903,662,289,007,197,177,421,013,666,563,702,383,564,657,
275,228,750,299,125,063,315,512,758,542,974,351,186,850,610,950,478,935,229,
550,870,516,325,849,504,201,523,428,858,394,396,212,880,578,440,764,522,124,
002,960,696,272,026,324,090,361,875,698,315,624,919,261,544,534,386,689,862,
644,910,195,701,631,950,724,107,213,941,642,268,237,120,563,618,977,616,760,
126,675,591,898,887,473,623,801,064,376,051,489,628,782,529,791,908,124,576,
462,724,363,451,531,368,935,040,265,064,934,237,516,578,893,560,657,058,170,
804,696,479,648,217,361,665,361,629,128,287,695,729,346,765,089,846,841,329,
332,800,373,583,035,699,107,364,346,689,141,637,883,389,246,980,561,741,057,
646,493,009,017,746,898,216,244,263,561,390,248,482,347,201,079,448,853,217,
847,957,318,551,870,626,348,025,557,027,274,183,015,516,744,765,301,960,952,
811,443,774,177,811,462,044,821,027,020,176,159,911,838,660,105,009,047,131,
962,615,873,849,695,365,171,189,705,012,464,993,982,748,438,632,780,282,246,
449,195,185,373,502,481,122,057,837,606,497,648,883,962,462,094,169,882,234,
550,905,530,274,888,092,258,735,108,521,872,188,906,526,836,841,135,683,806,
861,805,132,995,508,782,475,572,785,324,191,475,923,069,216,684,564,733,251,
897,883,018,564,293,754,902,416,522,938,375,277,507,634,033,561,947,031,125,
592,574,526,636,996,839,743,047,532,362,754,162,723,550,790,726,877,931,699,
954,785,572,690,757,238,302,756,802,773,105,119,715,770,972,496,380,639,015,
226,202,470,208,949,901,387,370,089,884,342,440,064,306,253,534,645,720,978,
942,412,256,035,570,463,136,399,285,786,570,704,141,741,271,370,720,075,626,
086,695,960,447,783,925,261,108,922,343,999,110,197,742,459,174,825,128,316,
806,106,205,201,641,747,103,228,145,018,567,437,319,783,484,819,161,625,529,
056,797,055,868,858,815,102,881,993,102,637,201,251,422,235,283,494,028,871,
634,305,647,654,833,792,402,449,757,320,183,567,543,764,025,956,701,661,237,
350,146,931,484,610,064,464,025,539,355,048,970,570,626,108,929,319,791,801,
778,469,320,502,175,206,169,749,071,550,083,696,252,148,731,627,246,304,919,
555,776,305,055,717,121,455,897,990,385,456,288,496,024,212,684,579,805,902,
215,004,418,229,193,359,952,489,757,428,005,019,582,494,600,980,430,443,139,
658,795,119,549,534,081,619,214,981,697,887,011,007,334,847,148,084,911,427,
581,238,549,773,088,766,084,438,161,632,905,476,711,558,400,437,591,508,517,
637,939,564,248,553,728,878,344,959,399,726,793,702,151,599,819,660,279,280,
474,681,541,164,334,153,498,362,441,690,748,809,849,814,136,806,215,372,522,
122,727,057,269,344,406,785,016,626,164,224,849,195,303,064,141,890,178,786,
270,728,955,272,882,452,867,392,502,998,946,150,184,707,490,733,927,565,753,
471,707,144,886,614,774,202,864,957,174,350,483,089,741,612,121,749,960,116,
148,143,910,687,555,336,547,294,629,862,500,013,590,820,876,210,971,904,498,
679,322,555,130,504,123,629,719,903,370,896,866,022,153,667,072,259,682,118,
477,233,830,369,657,187,349,850,922,823,283,730,944,952,006,718,020,999,211,
393,107,133,237,085,737,685,894,330,054,863,263,166,688,221,300,875,380,786,
470,115,569,978,190,565,327,283,800,375,146,220,777,667,696,101,084,911,146,
215,102,548,545,005,910,105,033,290,709,888,729,292,525,457,830,532,293,891,
567,772,795,085,011,291,315,476,831,438,369,230,693,314,729,297,939,999,847,
531,838,222,667,954,373,622,781,019,776,277,138,662,565,600,857,009,280,748,
299,902,922,186,482,492,915,991,141,975,878,961,382,820,526,522,408,856,024,
531,919,737,383,350,479,949,221,932,999,502,465,729,005,414,458,813,739,156,
500,679,615,815,015,661,042,781,276,352,457,994,481,222,005,141,088,380,089,
248,824,597,326,807,851,901,741,671,415,124,443,796,359,259,661,363,756,487,
962,893,496,898,191,729,335,847,728,991,992,658,932,742,337,397,333,170,856,
306,469,622,343,024,652,451,055,478,143,571,701,163,503,231,077,331,509,992,
904,770,489,466,436,931,390,145,166,543,310,720,938,033,228,661,089,077,723,
675,182,015,034,916,634,474,948,780,402,332,078,953,104,719,090,933,287,208,
292,076,501,192,032,247,379,308,911,773,917,863,853,707,638,433,847,586,274,
954,087,770,919,980,098,381,677,777,318,194,384,834,218,267,464,067,949,314,
253,450,726,207,100,152,133,208,658,239,445,713,297,489,715,319,098,744,099,
889,256,200,310,052,047,802,417,354,663,095,153,704,086,875,942,009,809,129,
587,075,635,090,125,704,012,273,602,220,360,461,636,981,402,239,796,206,845,
841,695,950,830,144,305,905,877,462,312,012,416,904,185,622,317,782,972,027,
759,847,455,922,619,657,744,692,067,020,340,952,642,168,420,572,668,835,131,
862,763,441,170,505,788,718,290,849,695,146,960,901,101,224,229,748,407,606,
254,197,077,870,338,766,666,056,562,508,607,101,770,389,941,671,308,323,022,
740,725,890,811,624,912,674,413,174,201,399,175,732,802,661,572,485,637,850,
327,562,484,048,308,702,758,364,982,225,659,515,859,161,715,423,514,039,325,
495,972,445,977,590,576,455,077,592,375,358,802,171,551,301,340,158,707,426,
768,418,770,784,092,216,658,260,404,646,472,600,302,212,697,467,335,601,638,
696,332,305,880,230,497,839,531,082,235,469,617,741,062,274,260,358,670,721,
790,146,968,978,602,381,786,703,856,335,437,276,892,777,346,348,827,667,766,
352,053,421,581,273,283,812,766,633,521,645,862,037,939,495,309,701,469,537,
797,575,170,792,365,307,095,821,077,797,858,268,786,831,419,468,335,719,153,
743,754,331,871,294,612,089,074,883,206,875,847,578,409,430,842,242,881,448,
381,878,024,608,379,339,729,475,487,873,267,183,167,144,899,906,584,044,734,
372,271,330,863,929,165,830,057,614,041,966,002,924,050,116,206,919,582,403,
598,724,502,795,690,055,570,057,595,801,270,746,932,827,535,695,447,172,899,
152,322,922,662,271,682,959,653,025,438,259,035,723,962,308,463,950,274,488,
945,856,789,859,403,759,312,270,878,080,513,743,585,851,104,471,057,947,496,
761,572,921,521,436,899,783,856,906,289,567,037,731,588,852,026,439,022,434,
212,062,630,312,393,916,521,708,562,114,537,976,303,175,289,025,663,266,274,
810,599,848,103,978,262,544,984,637,115,883,553,588,450,498,644,296,298,066,
644,681,255,348,123,853,273,454,745,897,638,293,276,198,509,458,029,734,002,
737,996,289,142,372,243,048,847,619,057,620,522,469,241,626,154,276,396,453,
534,917,516,525,640,343,362,703,538,280,081,287,635,039,230,310,924,604,008,
518,783,571,789,652,255,993,976,566,682,159,539,313,066,201,798,092,300,953,
567,032,297,908,080,579,392,488,552,301,653,330,460,612,348,677,419,179,754,
515,869,453,105,594,755,946,490,719,037,744,877,097,674,813,889,201,906,438,
875,878,312,536,835,958,242,068,971,277,407,504,277,110,604,777,033,761,162,
261,594,497,308,059,195,108,448,158,293,921,831,417,798,608,458,979,454,847,
166,924,507,537,622,531,753,709,049,693,289,018,415,338,356,453,021,874,304,
828,757,429,372,622,221,244,542,261,445,932,184,315,630,752,751,756,002,752,
292,237,556,427,331,153,511,670,291,576,578,298,978,153,455,924,030,778,213,
371,386,423,277,050,640,190,450,235,172,453,452,327,191,483,238,511,105,240,
697,856,064,493,926,007,880,613,246,978,819,533,251,856,878,348,616,948,594,
571,554,636,017,161,818,549,957,414,565,827,860,123,046,397,501,955,830,657,
667,570,752,440,832,022,150,359,719,792,492,145,167,774,595,805,341,768,901,
069,118,776,467,491,722,857,140,476,567,839,156,477,904,259,221,267,632,730,
959,889,205,037,687,779,605,791,308,603,402,141,033,905,913,427,834,119,706,
089,273,085,400,267,046,860,188,880,030,518,968,163,242,665,960,869,849,034,
653,280,933,499,474,237,342,533,272,251,735,467,988,083,331,984,388,285,985,
240,134,112,715,889,032,356,551,732,907,648,246,814,891,252,238,555,116,948,
313,286,106,920,582,395,123,287,114,539,082,498,384,196,756,348,602,295,903,
426,391,812,304,223,362,758,640,954,974,720,006,052,849,663,889,794,131,444,
442,083,905,629,397,573,830,968,543,041,088,470,745,523,658,792,590,316,470,
616,913,743,619,187,961,135,366,767,691,356,327,824,755,560,204,844,180,971,
572,769,105,633,615,755,538,615,040,534,498,023,603,615,536,125,895,436,921,
784,816,608,977,057,984,564,123,757,570,668,478,363,656,132,559,678,131,021,
760,395,402,945,455,611,764,644,605,556,405,041,454,921,258,130,310,555,608,
643,912,719,702,518,162,069,271,331,495,597,445,885,667,418,194,670,962,130,
253,557,331,393,936,823,860,088,981,896,418,500,185,110,794,044,166,469,453,
055,038,525,631,380,639,474,357,491,128,449,634,369,593,683,538,770,066,778,
674,617,591,007,844,973,839,376,394,859,545,297,197,182,604,497,764,136,888,
980,011,311,990,724,451,530,352,249,975,754,906,633,727,684,261,928,575,230,
631,985,835,812,558,875,630,287,961,467,912,136,577,880,376,526,099,368,328,
152,756,181,533,995,702,398,056,722,184,540,241,923,357,761,226,535,214,180,
744,465,197,358,755,035,776,729,512,544,369,373,574,874,298,709,276,104,738,
995,667,024,953,530,233,863,576,801,621,071,023,037,493,505,409,886,643,863,
593,067,166,702,660,179,439,609,448,178,708,859,097,407,101,211,414,390,944,
021,744,128,769,979,269,901,292,753,067,131,186,585,022,885,983,280,274,224,
763,572,992,932,441,426,551,208,232,022,463,864,687,818,028,169,789,551,821,
721,602,887,561,222,243,523,168,044,690,549,644,797,728,372,624,980,004,354,
617,339,149,206,756,852,505,718,135,830,262,126,122,093,187,058,409,858,059,
685,785,229,106,740,974,122,056,962,298,953,506,779,148,857,909,746,104,243,
799,919,228,102,481,044,465,778,988,776,221,876,689,965,443,584,512,990,245,
092,572,774,670,076,243,183,627,362,020,779,210,281,982,695,720,489,032,636,
974,209,981,479,158,821,982,751,182,408,075,261,350,608,629,571,966,882,969,
172,947,067,032,638,622,063,525,231,829,474,665,327,498,301,689,304,115,890,
309,143,646,734,105,637,486,243,620,106,397,067,334,740,650,312,456,252,286,
261,663,696,112,939,352,619,440,007,052,901,690,654,347,912,853,603,353,570,
280,311,291,183,690,135,545,196,318,528,856,494,814,363,630,148,214,237,119,
223,461,953,128,523,344,331,701,738,225,527,902,975,927,793,592,759,393,389,
764,809,009,581,809,871,692,048,713,466,181,047,502,447,902,538,851,773,389,
307,565,208,224,709,197,925,685,616,742,038,217,428,786,035,785,790,014,420,
581,910,844,709,662,072,503,425,909,143,529,462,840,578,981,372,780,814,134,
092,653,809,816,870,548,286,606,700,850,417,000,446,351,875,752,950,154,485,
479,356,473,118,029,669,089,879,857,355,666,974,763,509,897,603,308,680,330,
216,482,381,174,958,825,177,524,605,194,064,643,754,005,937,497,023,284,739,
025,900,532,536,830,108,853,666,040,361,259,480,275,835,693,263,225,059,222,
318,406,569,648,690,410,707,771,379,488,359,725,819,441,337,908,760,766,902,
583,348,786,002,830,495,320,709,359,569,739,746,834,159,756,634,524,419,148,
375,448,602,751,337,669,412,131,081,542,919,726,848,367,872,180,564,043,982,
230,361,485,426,059,059,147,497,095,470,926,085,879,036,449,277,423,157,652,
661,019,806,443,000,492,004,431,308,238,636,036,228,142,954,691,930,208,874,
006,438,301,248,500,406,995,721,127,735,440,675,324,680,261,787,120,678,969,
318,027,323,862,697,519,636,451,890,388,203,414,640,989,017,553,307,205,006,
652,106,094,494,502,408,390,513,106,727,411,532,132,941,910,409,826,944,131,
692,105,948,014,263,880,531,408,461,933,008,076,482,990,410,502,522,999,798,
782,233,048,360,825,132,863,627,192,731,516,297,918,592,303,300,317,637,593,
538,358,171,787,959,286,262,222,068,407,164,225,970,894,621,669,422,445,796,
994,924,104,822,984,023,996,647,041,447,148,588,279,137,186,060,994,562,547,
399,642,905,871,372,708,958,265,526,411,640,612,033,945,634,932,301,720,490,
557,119,580,460,778,032,486,271,431,442,415,115,653,689,999,659,114,741,201,
925,619,629,047,078,360,557,780,818,450,028,003,172,298,880,450,249,464,624,
101,071,968,170,738,114,501,517,725,402,902,334,860,876,861,568,395,062,796,
337,167,370,574,080,115,822,155,594,047,242,294,493,644,991,078,338,714,621,
570,503,941,067,113,463,356,535,316,568,145,082,189,418,872,006,406,030,242,
791,542,647,658,660,288,761,033,638,222,569,758,045,585,106,792,374,059,056,
257,893,998,417,259,203,904,646,136,653,883,833,819,369,256,086,967,513,327,
993,668,391,999,991,555,919,266,567,594,574,917,777,157,908,524,764,839,851,
937,283,763,511,313,007,978,589,238,457,591,201,597,061,492,422,284,444,336,
835,903,429,182,348,154,778,748,825,053,265,873,724,359,911,548,692,304,804,
208,740,891,407,214,714,901,530,396,196,113,288,423,011,867,407,790,776,512,
864,569,585,912,862,240,744,809,328,973,610,242,784,213,392,596,404,889,177,
362,546,670,734,642,804,467,942,149,279,148,793,231,994,683,617,574,793,015,
530,693,774,949,374,809,723,479,547,155,722,681,593,415,913,454,832,057,964,
519,747,431,091,187,798,760,985,418,490,771,945,828,002,712,858,448,207,115,
944,685,578,312,830,610,304,675,911,051,662,533,531,308,254,287,429,493,922,
163,306,171,548,257,254,343,308,546,065,469,521,870,291,821,243,648,023,840,
022,367,282,927,131,118,383,491,142,180,174,216,482,811,545,045,152,970,292,
992,334,502,720,221,664,519,973,248,824,310,637,340,455,206,119,177,655,128,
117,679,847,622,536,028,695,270,453,479,225,855,743,806,719,402,272,752,498,
531,160,950,193,416,442,305,981,902,070,947,547,402,484,027,968,717,578,674,
322,963,012,477,582,132,473,325,095,581,610,650,967,586,443,375,125,452,000,
702,667,525,929,321,849,804,685,552,576,347,392,477,433,654,608,164,553,441,
830,494,895,379,040,423,050,975,726,474,520,449,166,656,607,030,054,252,257,
397,041,286,931,442,711,012,921,316,308,520,027,465,405,712,282,141,024,529,
496,270,590,699,052,052,741,441,277,274,753,226,932,666,425,102,910,013,728,
449,660,455,375,222,271,663,258,827,945,786,089,873,115,557,294,096,327,566,
127,200,414,169,605,709,154,776,790,874,798,920,247,269,569,937,155,812,337,
570,069,344,390,788,631,186,976,702,447,710,723,576,775,861,160,556,759,498,
743,494,100,128,056,076,767,156,691,097,624,221,066,847,006,961,889,034,301,
492,080,336,509,197,389,066,973,408,211,425,637,420,610,561,966,853,435,474,
212,038,655,896,816,719,200,251,276,826,699,358,176,367,107,281,169,155,486,
465,865,855,344,200,449,026,387,991,585,432,881,096,624,068,579,071,739,843,
241,452,462,881,865,418,313,689,111,643,243,926,635,552,600,262,348,075,703,
323,451,258,475,382,947,228,818,639,110,779,558,705,224,546,712,351,963,867,
119,522,515,430,575,823,516,976,400,818,598,783,980,683,030,907,104,131,267,
944,446,294,187,279,647,825,311,461,956,657,512,313,018,114,974,871,784,564,
125,035,408,387,916,475,741,554,480,311,633,715,811,493,357,981,397,582,517,
004,156,823,148,804,969,747,133,855,091,670,527,950,104,005,409,038,595,202,
793,149,731,998,683,274,174,575,485,115,660,734,026,032,946,990,073,574,520,
796,165,686,876,407,688,075,487,389,792,901,822,025,972,385,947,930,265,269,
359,222,938,408,754,627,062,968,718,168,249,015,047,534,662,833,856,776,535,
764,969,447,664,885,024,573,239,626,841,690,093,542,811,552,620,004,113,144,
319,884,404,218,212,360,131,595,530,993,716,573,429,218,448,774,334,465,918,
117,448,160,632,687,909,717,756,299,963,370,610,736,359,176,477,963,751,731,
824,213,110,970,204,267,324,975,830,098,345,496,917,773,978,477,255,979,130,
005,955,583,946,959,559,161,472,749,395,906,726,870,770,544,087,721,403,164,
011,321,451,070,503,817,459,177,350,968,853,975,391,141,465,014,109,810,836,
358,696,062,828,545,437,881,842,727,994,758,784,481,597,828,432,382,507,767,
828,102,811,052,153,250,560,020,452,373,108,358,368,461,940,226,942,451,557,
116,078,730,607,813,823,908,713,701,862,529,906,776,159,122,958,695,322,333,
874,039,572,185,906,152,468,237,666,963,026,247,054,938,164,874,664,999,074,
282,547,618,547,102,332,881,805,090,190,122,976,631,648,771,303,208,792,264,
784,025,388,992,628,048,453,748,235,023,119,167,086,040,058,054,075,982,706,
516,609,166,004,613,785,641,780,160,512,268,097,695,031,240,911,294,275,918,
364,309,351,521,735,577,074,674,939,255,717,434,467,518,133,019,206,880,242,
976,292,817,442,507,821,240,184,386,104,869,561,286,885,772,537,687,935,295,
970,690,196,354,902,122,118,889,075,675,164,551,387,806,439,177,230,663,047,
210,773,034,907,058,428,800,791,598,777,242,110,399,564,250,016,113,922,127,
235,023,547,508,987,018,478,713,528,757,223,279,461,395,017,818,793,591,546,
219,768,135,990,591,962,893,339,175,610,915,659,877,343,574,423,986,022,229,
899,558,630,943,629,215,713,637,096,638,123,926,649,237,806,897,513,571,581,
496,591,335,948,004,321,828,201,457,180,390,988,880,434,558,445,976,381,469,
756,879,718,894,618,237,119,609,950,980,761,686,666,023,407,137,240,350,409,
960,500,928,862,602,411,318,240,762,087,956,330,617,997,582,086,278,365,129,
361,875,481,187,660,769,073,647,903,041,901,195,271,885,364,224,615,185,082,
165,187,874,798,804,471,667,250,555,318,938,946,257,817,787,786,657,426,425,
605,689,749,234,224,033,116,538,971,882,985,944,270,179,072,033,489,388,583,
640,304,855,955,038,489,021,971,202,451,744,427,140,069,307,358,218,169,921,
518,895,350,941,841,934,291,992,874,245,277,946,279,313,941,409,241,087,984,
528,661,505,046,606,220,596,898,882,098,768,671,430,553,250,680,682,268,746,
662,567,159,096,341,467,373,710,101,519,117,679,294,895,427,984,759,698,900,
275,052,570,751,516,822,667,287,071,344,045,071,035,944,002,033,625,809,551,
798,968,127,822,991,583,962,609,732,877,521,108,513,393,983,179,375,400,194,
196,490,110,622,432,741,791,976,247,929,183,093,206,621,232,691,750,995,159,
309,358,836,265,910,120,482,732,604,178,189,155,578,278,834,456,468,770,765,
346,555,831,150,357,470,388,505,125,759,272,695,609,112,333,395,288,506,260,
517,297,055,977,930,352,460,071,344,509,034,411,065,797,957,843,218,363,169,
501,398,908,047,944,847,959,469,056,531,651,652,375,223,326,055,956,181,634,
006,650,111,285,398,503,127,384,688,525,175,123,780,626,916,754,325,037,431,
483,664,699,364,590,914,169,504,819,101,230,169,174,217,107,612,921,332,476,
037,425,707,551,748,806,367,095,163,039,926,788,783,336,111,052,661,113,640,
361,490,467,380,038,976,468,553,705,914,578,699,172,061,995,924,984,132,950,
007,224,854,316,518,778,410,425,856,135,820,851,047,302,164,825,408,741,968,
821,821,207,847,536,889,872,133,660,893,064,042,554,762,212,834,700,909,901,
500,263,961,433,539,206,008,944,484,297,898,204,400,631,197,436,273,655,347,
755,044,154,615,341,210,016,917,873,339,493,461,135,432,628,703,289,295,185,
497,943,282,928,378,267,426,174,624,771,583,406,282,297,830,499,377,659,007,
706,136,589,306,587,111,647,481,942,042,969,745,219,929,176,789,089,903,600,
892,812,642,958,211,107,285,526,914,401,726,463,994,391,342,378,237,046,473,
850,739,300,642,087,967,900,412,557,050,316,472,177,811,752,958,113,631,505,
995,853,455,382,058,038,957,494,413,920,737,597,354,317,586,969,388,889,969,
119,961,712,342,325,337,063,118,612,004,838,838,075,521,939,785,953,503,128,
497,597,497,151,485,428,244,847,127,210,695,431,336,187,311,158,283,445,861,
679,287,264,576,857,969,190,866,889,041,726,284,676,888,923,319,500,593,894,
232,440,367,319,419,950,303,195,850,195,844,417,574,477,081,963,182,962,642,
778,149,153,120,986,771,457,779,242,159,337,396,681,561,055,848,629,200,316,
261,990,996,722,289,197,412,357,805,337,411,930,711,157,040,632,542,843,740,
011,536,828,387,794,306,946,603,075,552,100,457,832,125,336,987,295,509,275,
036,206,074,222,227,477,761,610,131,979,728,714,710,035,999,930,799,348,148,
777,617,023,193,697,420,574,111,090,115,491,001,942,646,004,840,550,653,062,
577,398,548,802,680,159,938,893,694,858,172,306,201,021,439,250,937,137,740,
985,940,090,611,998,966,507,161,031,470,727,603,951,003,623,429,758,090,919,
648,734,398,082,103,287,747,350,632,462,048,584,576,674,201,548,481,512,096,
311,370,115,586,126,337,552,880,514,554,937,706,446,327,891,103,047,683,079,
114,994,664,730,688,050,964,626,382,054,115,098,250,205,442,833,805,601,242,
481,369,705,328,360,713,270,229,561,564,795,556,359,008,795,383,654,492,201,
178,208,392,823,513,543,774,772,634,346,748,657,636,535,094,415,605,832,101,
304,345,978,536,322,180,140,567,024,373,901,320,458,379,431,508,402,368,142,
379,242,474,999,110,020,629,885,293,730,619,267,761,096,757,287,510,003,052,
915,579,709,046,601,471,639,854,645,051,613,380,461,666,133,201,439,989,787,
807,170,715,937,258,297,603,839,147,001,465,278,528,747,513,921,402,998,900,
864,086,107,178,850,451,316,411,045,430,754,271,286,222,994,492,963,370,554,
793,059,559,377,687,179,850,927,085,529,606,956,007,879,793,920,038,147,700,
957,904,163,654,884,266,271,891,015,344,613,330,513,861,760,790,351,554,795,
917,666,750,156,143,212,648,800,096,844,570,619,429,369,622,550,536,947,907,
717,077,133,049,688,278,068,740,993,929,071,409,109,431,666,846,096,359,368,
676,195,828,847,887,842,238,763,174,409,082,071,485,200,221,437,630,022,525,
352,074,265,445,301,884,455,266,058,689,056,548,867,509,203,213,173,914,460,
001,176,649,963,871,247,608,193,002,234,004,924,491,094,845,485,106,508,891,
977,206,280,746,080,484,435,493,157,654,998,732,469,377,770,023,005,491,530,
774,496,914,010,318,702,025,158,408,117,382,061,051,023,153,507,166,161,425,
181,999,327,536,514,990,782,550,630,550,263,412,588,468,267,529,152,310,778,
347,901,150,300,558,163,214,103,487,739,857,478,465,803,306,614,695,400,607,
119,424,259,505,375,605,398,025,561,522,107,329,897,624,789,592,204,258,154,
110,885,151,174,789,898,468,164,125,239,300,752,874,203,086,105,539,293,848,
564,433,464,737,674,093,340,865,215,263,765,495,683,672,028,813,002,938,583,
228,963,067,072,526,880,611,722,594,644,172,161,164,055,269,731,492,986,512,
627,985,418,974,542,633,864,300,716,095,554,263,488,068,986,881,536,153,387,
523,092,409,978,729,975,355,935,825,741,484,040,432,072,926,379,255,813,501,
298,888,155,223,461,765,933,896,291,637,537,144,756,910,223,498,604,527,343,
622,878,738,502,715,293,381,299,707,031,932,592,998,921,164,160,483,770,664,
178,501,697,539,421,219,447,070,512,587,509,659,240,484,436,167,913,880,077,
237,316,549,808,341,727,640,488,052,475,985,013,168,720,689,147,455,500,691,
107,377,007,781,354,416,379,193,409,463,045,990,685,165,169,582,841,789,250,
853,558,663,734,381,052,417,128,328,536,319,204,753,507,132,468,425,735,764,
689,358,779,522,115,656,226,036,259,634,744,157,975,483,653,583,397,202,971,
224,132,890,340,143,635,135,115,216,508,703,133,463,287,780,536,187,415,116,
265,755,854,792,334,384,283,227,279,227,064,749,589,697,556,380,677,716,532,
320,706,315,535,498,143,952,776,067,130,963,942,955,331,060,077,830,469,222,
079,710,440,235,232,346,872,913,772,856,754,561,001,648,525,866,311,648,239,
531,686,344,541,256,193,026,274,703,674,240,796,283,847,247,650,032,810,937,
161,046,094,046,340,020,514,106,331,017,598,978,952,817,486,846,194,475,780,
290,130,062,515,553,211,813,767,813,541,960,251,346,922,156,472,097,007,440,
455,319,390,917,304,305,871,784,773,346,392,236,697,116,884,363,240,069,970,
206,038,500,907,537,200,778,326,311,525,469,252,312,359,764,391,114,009,418,
832,719,276,453,116,982,362,078,474,962,888,891,411,245,088,467,566,731,390,
859,348,229,494,414,070,066,026,687,398,517,985,896,782,531,677,924,443,135,
503,813,147,501,193,268,750,260,649,964,169,162,285,413,972,722,158,579,501,
219,124,882,455,833,436,079,098,552,389,175,205,962,938,671,192,092,427,652,
848,924,531,685,287,861,077,868,333,154,094,185,939,188,435,691,165,667,780,
025,786,545,174,134,736,808,946,046,715,402,822,287,580,631,347,365,848,059,
082,788,690,033,379,910,142,521,466,351,849,868,700,467,615,127,320,937,916,
839,118,055,160,939,772,853,996,756,852,287,920,766,857,191,025,168,069,322,
885,729,228,219,884,556,983,690,784,847,847,499,214,652,984,952,303,242,481,
721,517,738,158,387,088,197,723,150,468,855,873,742,810,649,871,989,071,758,
824,657,994,903,379,861,098,578,607,693,535,791,403,928,215,917,923,623,087,
441,837,694,325,509,894,188,747,715,825,844,862,395,637,428,146,285,688,588,
783,910,071,688,904,493,865,086,944,026,207,698,626,139,246,945,426,045,250,
692,416,441,126,867,186,912,697,024,418,217,101,468,298,531,311,619,957,553,
254,569,435,070,174,785,402,244,009,246,528,370,515,578,514,765,841,830,141,
870,348,612,433,093,636,253,461,574,161,460,387,980,563,637,173,254,145,213,
591,287,835,865,461,140,323,201,025,962,824,234,160,072,166,255,572,749,728,
374,811,978,222,787,896,882,934,384,498,083,547,123,022,700,258,471,796,620,
617,129,162,168,386,946,598,406,235,608,618,644,811,863,221,438,379,705,520,
588,448,957,082,438,848,029,252,498,600,697,418,329,314,182,034,093,318,242,
506,150,785,069,206,219,836,762,214,715,934,704,690,159,549,661,839,677,781,
181,134,751,710,974,064,029,533,276,930,879,668,052,691,494,265,699,679,787,
037,054,659,394,675,124,428,130,675,123,184,207,626,413,838,476,666,935,932,
874,894,016,001,186,106,214,735,008,757,784,419,831,331,145,618,218,762,228,
020,725,953,368,458,988,384,064,937,297,043,924,354,020,810,233,891,465,736,
374,411,927,917,455,553,940,586,822,069,541,756,875,707,810,825,762,789,090,
535,971,737,381,269,724,745,541,071,026,588,036,557,025,118,340,069,900,600,
658,790,507,329,432,140,741,492,937,239,361,245,646,386,023,258,935,070,784,
140,505,320,116,950,241,275,746,768,634,051,156,634,901,181,819,616,310,035,
553,564,143,741,390,212,029,379,392,780,087,112,135,607,194,462,833,061,419,
757,377,129,194,647,392,276,416,671,650,445,225,194,139,103,307,033,387,163,
939,313,013,126,504,965,210,117,148,241,434,995,000,219,117,172,542,677,671,
446,748,911,791,646,591,374,134,767,263,139,607,639,088,859,375,706,359,327,
157,828,732,214,744,107,281,792,018,837,240,523,832,117,967,502,074,907,461,
342,105,381,945,715,318,616,957,941,688,093,299,115,368,579,121,073,928,152,
706,336,724,180,882,728,470,489,620,361,528,224,725,279,924,393,395,197,545,
843,362,236,485,869,526,506,625,226,674,951,838,362,684,888,963,457,860,962,
275,863,385,666,395,606,178,601,247,216,250,475,968,004,032,095,048,226,198,
344,047,061,587,978,805,923,319,478,006,780,457,209,603,554,368,621,889,827,
274,200,409,968,882,731,447,195,552,183,688,414,954,566,112,023,907,346,093,
782,815,883,800,162,044,037,260,546,676,841,381,807,545,786,436,736,237,063,
690,738,673,959,573,496,888,680,654,545,880,289,446,559,172,422,251,654,368,
114,529,613,294,354,439,065,309,429,814,166,397,850,802,205,182,230,572,344,
671,269,302,599,513,203,757,949,031,689,151,722,562,019,652,774,849,308,102,
225,519,591,249,587,667,313,901,574,397,183,107,918,102,193,255,850,714,689,
440,551,930,329,639,275,704,641,117,493,340,005,488,971,591,471,035,721,688,
628,519,514,770,717,056,352,396,493,178,390,954,498,397,086,124,883,838,514,
002,565,896,960,771,115,070,958,934,858,452,694,776,766,094,548,406,380,723,
588,423,945,742,844,545,736,192,927,200,205,209,091,271,572,231,475,376,742,
046,958,652,344,499,794,365,144,401,912,678,821,962,245,868,080,786,069,286,
848,108,185,673,433,730,267,550,437,386,876,334,862,060,783,409,784,859,479,
092,178,726,740,762,562,728,052,083,101,938,530,602,230,732,613,228,190,591,
316,986,125,288,648,279,264,740,515,453,929,142,881,356,801,471,879,473,053,
128,896,674,960,649,504,182,734,838,658,127,355,851,249,767,440,844,977,309,
400,761,041,530,131,056,384,901,240,094,671,618,909,644,869,022,913,042,241,
794,958,981,221,020,570,860,415,662,301,590,347,316,279,686,553,011,016,265,
999,422,006,579,102,213,136,303,024,036,222,236,102,237,625,301,827,938,107,
198,601,897,231,864,225,796,724,702,648,604,386,311,272,718,534,437,459,828,
320,798,603,846,937,413,583,197,973,881,286,233,141,072,850,993,093,358,170,
364,069,812,884,960,006,706,211,587,721,530,672,094,112,834,232,808,389,979,
648,650,951,541,773,954,236,107,050,082,664,556,033,797,476,261,234,668,832,
679,367,982,492,904,862,356,567,957,947,282,016,267,859,029,809,335,100,620,
491,198,974,295,122,803,243,636,406,426,958,231,603,854,270,979,951,643,928,
871,884,333,601,909,255,808,493,379,471,514,687,055,306,697,044,291,646,229,
343,908,284,824,949,221,534,524,554,369,053,981,529,490,269,196,199,171,532,
267,611,633,906,728,811,580,963,292,528,562,007,528,703,372,981,248,863,988,
599,076,882,035,325,691,984,042,072,461,052,799,888,821,698,218,424,051,173,
058,779,594,434,313,227,503,475,557,629,892,438,163,406,153,363,950,515,060,
169,530,375,417,364,326,823,463,693,603,240,676,454,825,647,887,727,339,153,
604,966,408,620,938,647,428,594,679,508,354,954,238,632,161,232,628,933,573,
400,247,786,130,825,499,979,381,248,603,737,814,142,533,050,232,405,013,694,
708,815,395,929,790,215,983,874,285,853,431,269,854,700,444,366,157,499,952,
999,347,391,845,809,951,209,444,609,434,522,052,137,925,973,234,764,256,187,
480,776,981,932,321,029,593,625,944,674,053,254,475,071,311,548,858,445,083,
894,682,868,758,103,438,230,395,099,156,246,370,599,134,496,966,194,501,014,
309,946,207,534,804,209,908,982,761,177,422,039,388,840,164,294,360,431,940,
261,017,415,643,350,124,442,290,229,698,150,376,541,034,919,822,565,343,975,
106,831,360,992,641,558,708,092,361,300,666,526,869,874,961,317,673,355,383,
660,203,618,203,841,691,928,397,927,504,053,260,008,885,280,786,011,156,915,
912,580,236,313,320,205,447,150,806,989,401,062,414,831,350,619,150,181,078,
779,312,249,301,362,941,484,145,061,963,132,823,978,034,883,942,126,668,530,
034,014,548,002,546,240,269,879,074,384,786,642,776,139,233,467,938,740,214,
682,521,349,418,539,752,431,014,407,378,565,040,642,649,400,533,230,350,395,
879,400,959,074,537,989,348,962,153,064,561,192,743,641,504,251,888,671,151,
985,818,830,711,130,491,889,635,504,229,508,984,918,818,282,950,621,243,455,
777,525,425,433,865,685,539,007,451,025,344,232,934,180,484,864,463,608,543,
942,562,700,566,000,341,196,540,104,314,825,164,597,318,726,180,937,512,307,
096,136,117,185,106,975,608,798,975,940,075,487,772,845,192,147,997,891,367,
620,422,666,682,258,017,477,060,269,177,607,715,402,106,747,589,449,492,831,
074,868,972,238,309,909,120,546,382,558,131,617,742,804,256,192,100,321,122,
883,183,870,205,180,307,548,941,124,992,582,239,090,493,913,133,962,790,671,
376,148,771,727,622,377,395,547,774,907,131,268,642,274,187,949,556,234,741,
177,274,497,788,850,822,784,675,203,593,800,646,090,492,857,508,219,948,801,
801,146,131,965,041,397,741,509,612,820,547,451,953,332,842,894,115,324,166,
345,119,417,688,237,749,143,772,692,251,009,919,449,297,533,598,998,101,631,
266,472,353,160,784,125,420,676,225,184,032,291,419,506,964,286,103,083,366,
081,311,019,850,413,235,657,852,530,192,562,486,308,307,413,213,879,467,418,
236,115,480,994,045,707,428,643,166,758,362,937,402,413,722,356,934,480,157,
699,338,606,278,470,684,286,484,527,286,306,995,202,863,627,604,290,214,203,
871,138,316,392,420,099,958,407,894,033,670,830,077,797,682,865,685,041,288,
888,486,320,195,592,038,023,212,673,215,932,693,901,665,083,987,832,236,061,
471,909,927,458,318,666,532,928,718,114,122,840,172,429,699,338,210,856,461,
489,143,177,692,838,796,539,980,117,675,350,327,625,324,609,014,523,547,519,
837,361,761,253,274,547,484,149,180,158,299,769,546,631,566,887,676,123,320,
716,709,581,658,819,087,415,769,986,736,905,255,150,387,617,291,460,476,089,
976,579,583,535,742,247,764,895,428,716,867,844,759,318,263,657,337,176,935,
749,220,237,455,497,430,279,054,464,614,825,496,698,905,435,863,543,594,090,
208,864,307,249,739,056,896,971,674,732,578,133,187,783,171,759,580,075,160,
229,662,752,537,606,882,189,798,358,719,834,900,842,822,512,550,505,202,548,
840,809,555,695,968,132,091,610,997,283,124,977,452,336,181,441,823,154,839,
591,749,927,672,030,508,110,144,237,132,836,075,751,804,051,946,623,357,176,
996,135,659,592,953,241,855,894,834,239,616,096,331,573,163,638,401,124,327,
739,667,442,270,594,932,986,023,634,778,658,762,066,085,406,072,828,179,488,
815,829,832,995,432,295,705,997,923,610,079,799,822,429,850,095,151,647,065,
716,206,558,536,533,870,208,017,842,108,199,760,732,517,900,408,693,834,769,
061,362,863,250,171,828,548,320,973,561,971,723,299,036,818,003,984,765,009,
755,250,965,446,064,895,870,677,170,074,239,622,183,719,052,557,083,907,326,
798,254,564,335,152,007,359,307,794,471,571,214,013,356,837,709,186,906,688,
667,746,346,065,840,541,317,338,966,945,854,011,570,747,287,976,500,626,190,
824,369,927,673,943,365,520,244,680,053,066,581,680,039,323,569,274,288,357,
101,306,078,438,104,134,594,986,766,225,501,964,966,481,518,373,941,084,721,
624,365,218,010,047,628,188,857,103,836,091,684,966,868,636,067,419,287,505,
643,364,812,198,682,400,582,308,653,475,042,319,403,426,434,848,662,745,932,
537,422,372,867,999,871,224,485,008,583,194,822,112,594,283,306,552,957,552,
858,432,271,533,193,500,018,549,149,451,564,471,789,918,644,191,871,563,576,
600,114,492,035,605,886,503,007,207,653,723,880,991,596,303,986,169,179,460,
271,270,902,715,227,058,414,445,007,979,872,035,657,215,523,089,693,711,549,
094,310,084,708,054,959,076,322,539,184,219,879,326,236,330,131,366,594,461,
598,880,760,772,071,625,599,270,497,652,479,862,645,808,801,878,934,687,386,
201,424,786,478,714,800,009,351,252,212,870,092,845,870,875,196,566,262,387,
906,192,914,717,509,476,824,845,062,940,888,772,535,110,294,418,841,667,809,
532,215,043,971,697,963,113,240,928,068,844,928,128,441,227,138,819,480,612,
248,612,265,666,539,820,067,163,597,749,191,490,728,477,643,114,113,403,479,
973,576,190,147,274,990,434,316,976,011,307,522,893,804,320,409,285,892,313,
147,017,709,448,811,375,362,500,594,760,897,041,797,816,508,782,644,318,021,
263,688,614,080,053,930,734,383,738,290,011,099,211,787,404,417,146,541,209,
082,363,250,494,890,665,523,398,490,254,778,245,582,560,175,281,850,283,365,
992,881,065,513,030,534,761,008,209,740,637,349,435,241,309,099,247,669,858,
079,236,365,290,232,431,792,992,071,274,676,113,455,348,822,182,394,139,288,
366,792,642,341,132,223,116,646,847,595,217,177,504,445,087,780,631,175,465,
057,470,104,694,633,495,216,518,523,408,516,022,842,134,290,918,673,287,137,
805,820,768,858,527,014,183,722,242,896,910,228,693,020,856,583,158,587,476,
089,692,773,065,231,937,247,009,891,981,777,451,566,670,462,599,261,172,968,
417,159,267,316,271,881,781,077,872,960,675,128,278,466,564,720,391,998,183,
459,479,138,175,780,553,266,319,489,222,219,072,051,098,035,129,314,157,740,
042,728,338,305,391,599,450,429,664,966,916,847,566,725,494,954,153,757,868,
616,222,365,937,280,006,715,740,211,707,754,778,392,162,814,035,947,480,310,
970,526,102,956,426,663,087,016,404,904,171,744,439,534,952,672,450,304,831,
202,008,905,229,168,875,362,604,559,607,800,339,848,593,763,097,019,135,434,
318,858,950,122,121,107,681,468,110,779,995,510,059,378,429,158,767,119,180,
163,234,333,038,794,683,096,122,927,455,843,547,368,889,970,915,741,543,058,
718,031,044,285,217,354,209,651,353,762,373,090,560,233,166,667,985,043,535,
955,687,864,987,829,776,313,827,947,718,889,553,153,028,665,449,462,031,560,
547,367,191,417,557,171,094,616,138,158,590,826,171,599,710,548,117,707,487,
554,683,794,112,952,321,943,580,403,580,000,971,556,454,943,312,189,748,163,
320,581,248,420,360,234,526,741,315,810,151,647,248,109,731,545,517,720,468,
368,844,961,240,704,166,708,631,206,024,796,011,473,873,709,558,144,179,557,
224,356,796,998,878,194,025,278,193,234,864,156,902,134,667,015,346,862,505,
717,843,567,443,410,874,108,080,775,242,046,733,310,016,359,317,136,819,108,
933,141,033,384,049,090,887,090,175,637,639,555,597,820,862,538,582,688,960,
013,086,339,209,404,667,414,673,367,186,408,189,581,406,884,500,302,828,978,
518,470,398,859,051,654,706,246,759,751,789,922,256,221,677,328,873,544,233,
824,370,260,814,119,189,645,274,951,460,941,697,760,986,083,376,106,992,280,
025,946,041,031,034,207,941,568,818,759,660,264,478,521,669,505,505,817,623,
883,217,294,045,482,755,520,709,279,861,817,733,570,493,467,525,545,366,605,
254,038,386,500,927,093,525,381,908,643,894,270,881,747,198,381,260,011,026,
533,087,919,906,758,474,417,946,955,060,676,853,844,855,590,246,960,293,767,
307,706,206,501,330,279,188,071,296,679,940,728,812,603,500,232,647,575,305,
922,775,651,676,499,590,280,476,931,969,235,804,976,295,560,277,880,488,093,
631,612,097,583,921,385,141,923,658,134,168,541,962,146,223,145,235,160,900,
371,843,109,264,289,711,067,126,710,482,578,116,608,345,943,198,546,662,520,
596,171,588,354,744,947,973,880,687,583,457,412,563,255,006,486,302,317,377,
010,758,735,031,674,460,319,832,186,532,901,656,347,450,639,386,190,385,769,
313,338,487,494,646,696,071,170,421,991,686,478,677,497,318,825,086,461,322,
015,814,523,559,256,808,854,126,645,544,636,441,985,180,904,586,352,631,495,
047,831,546,139,354,912,379,534,742,441,890,140,460,225,467,773,265,406,887,
235,119,453,396,331,625,714,025,296,963,276,026,588,715,525,747,603,043,723,
699,264,194,281,589,823,182,076,843,444,554,500,690,422,366,148,836,980,123,
614,133,466,777,066,980,775,251,178,794,137,841,967,411,402,405,815,125,374,
105,628,113,731,154,918,984,063,161,789,771,570,263,962,129,780,748,064,135,
917,145,893,803,705,160,078,013,035,015,279,104,285,257,355,924,552,223,872,
914,080,983,273,467,867,834,686,524,606,244,111,905,531,617,233,934,889,556,
674,893,481,657,475,938,899,438,515,519,382,277,782,410,311,057,500,264,920,
259,831,108,507,883,287,599,568,576,170,746,309,963,306,902,956,642,157,165,
703,670,189,508,232,578,388,082,239,064,953,178,724,285,989,087,862,151,849,
906,380,813,979,194,685,206,416,398,126,623,564,815,479,519,318,706,069,386,
020,502,853,437,140,276,441,826,862,610,452,069,405,687,303,523,017,180,392,
898,915,853,624,480,539,674,770,613,902,053,543,998,730,121,311,117,536,150,
651,783,962,310,853,124,555,617,398,271,964,330,180,597,013,710,837,437,595,
995,288,995,009,629,334,666,912,470,184,143,060,032,812,942,302,240,100,932,
739,309,458,796,137,464,712,130,042,512,943,096,339,844,355,292,433,995,562,
107,115,816,633,965,197,585,906,460,480,834,406,177,040,081,654,001,624,748,
007,056,370,316,528,299,359,946,255,350,370,079,832,384,942,353,702,686,569,
504,278,498,452,755,803,788,702,008,151,320,474,745,011,048,418,887,575,428,
276,239,611,002,953,889,239,089,866,378,413,994,455,502,676,973,215,848,732,
957,069,912,017,643,044,294,697,658,294,104,346,311,469,825,782,098,230,607,
740,454,624,432,162,613,324,548,993,926,175,171,525,408,263,877,442,386,275,
240,810,757,751,186,532,168,127,021,784,292,154,020,521,849,505,209,900,373,
236,628,684,325,866,336,881,346,452,781,714,522,799,735,750,080,361,408,643,
982,462,744,876,043,546,455,676,948,512,313,513,105,996,563,763,505,925,197,
628,378,830,178,590,523,517,936,184,102,053,772,377,121,038,711,940,155,361,
056,297,474,460,239,351,655,144,526,617,929,649,489,951,164,472,092,242,073,
557,250,826,633,532,678,155,872,807,668,793,435,694,843,487,231,398,642,334,
954,605,798,410,875,697,214,407,009,442,993,205,122,158,266,849,132,641,264,
279,189,252,619,334,225,646,018,397,020,014,697,637,311,755,829,141,957,063,
198,952,086,702,628,860,960,545,821,665,396,706,061,183,235,843,015,776,974,
124,933,767,099,063,190,955,261,689,452,237,176,130,016,666,637,436,881,763,
605,299,212,996,845,212,256,867,095,242,269,599,900,200,176,256,484,490,196,
761,322,916,764,246,972,425,898,332,479,128,420,252,574,839,768,553,485,537,
518,067,329,576,446,010,187,512,261,343,737,016,126,757,533,664,561,544,608,
106,097,161,695,095,746,248,916,786,839,713,686,890,346,670,885,438,794,691,
155,380,259,558,681,362,864,265,360,278,731,507,314,068,812,967,529,400,183,
224,372,510,607,313,296,525,238,739,538,120,155,532,999,658,209,696,014,034,
346,512,729,400,652,010,849,441,720,632,099,035,722,170,594,028,811,349,382,
547,484,065,864,207,348,150,453,029,266,131,289,709,565,397,835,162,295,514,
579,141,823,025,355,635,217,677,217,359,627,360,939,425,830,439,059,492,790,
418,177,696,146,037,250,888,479,813,380,532,716,022,535,305,133,744,274,004,
329,828,123,040,611,216,377,770,818,080,839,376,864,500,544,591,587,186,264,
709,850,951,549,153,889,560,081,024,695,190,564,455,431,463,298,354,826,268,
411,751,390,749,486,545,530,512,667,585,365,527,163,957,327,137,764,202,927,
884,563,411,862,144,847,311,790,031,104,049,799,834,232,056,690,230,239,744,
326,936,770,058,741,519,805,582,247,657,573,436,097,032,022,872,165,766,450,
355,866,849,558,357,018,318,995,585,339,119,253,874,416,037,307,905,389,857,
980,304,133,169,659,131,452,150,396,546,643,587,935,916,683,046,299,850,971,
748,420,387,429,898,878,436,524,842,455,939,713,660,887,607,809,379,914,020,
063,967,602,840,412,107,250,209,950,185,478,174,372,835,905,616,853,447,193,
076,077,153,997,135,745,658,916,540,244,117,902,592,294,622,361,384,593,885,
087,791,326,635,683,279,665,031,305,837,763,212,103,178,606,180,939,526,852,
432,755,102,696,010,666,382,948,142,299,079,140,182,884,699,434,476,439,477,
005,791,266,107,411,144,598,684,288,090,252,162,544,775,536,030,093,139,607,
405,668,385,705,800,826,645,804,996,849,334,229,421,757,966,003,324,488,686,
108,074,013,204,492,079,815,308,450,638,945,897,297,763,819,867,630,588,467,
870,334,362,309,437,861,620,535,839,888,620,009,847,679,885,239,765,824,341,
364,323,540,986,905,639,521,083,656,146,968,445,032,560,112,217,693,609,856,
498,655,637,064,951,284,341,161,295,783,426,497,975,948,440,816,499,213,570,
347,931,528,931,172,186,903,314,777,398,457,355,851,303,640,816,115,336,955,
189,936,095,323,608,353,733,109,742,679,776,174,195,694,844,684,664,122,271,
450,372,343,374,482,925,497,925,566,621,693,323,879,874,264,576,342,395,916,
076,526,700,632,979,922,894,299,672,446,681,884,180,650,014,339,150,438,747,
719,655,656,898,852,592,906,948,230,923,833,706,616,647,271,408,393,376,440,
638,983,440,222,014,379,048,055,860,545,442,353,839,304,055,049,660,300,576,
109,349,515,988,566,618,205,994,627,389,424,730,291,465,689,418,963,361,515,
830,208,115,275,631,535,286,804,049,192,322,702,208,625,080,272,389,609,596,
240,929,772,881,523,352,585,391,804,773,415,032,456,565,886,678,084,442,173,
802,490,094,771,143,274,169,311,345,122,430,611,242,236,247,561,324,686,229,
521,538,473,232,441,348,165,481,817,244,352,697,921,110,242,160,803,195,640,
777,397,769,697,987,510,834,578,660,174,803,058,638,286,138,657,712,464,571,
144,891,294,085,071,535,324,208,199,733,353,060,707,676,999,742,441,669,638,
984,458,987,088,451,546,434,282,619,725,325,468,091,480,527,586,701,026,399,
558,560,670,480,133,068,927,889,400,047,235,417,258,268,456,784,565,941,996,
953,974,420,370,588,547,061,460,493,948,232,520,179,486,164,029,828,582,571,
906,636,719,169,951,701,924,684,640,440,525,301,063,401,867,796,351,810,502,
374,877,689,598,016,563,168,187,996,583,594,372,838,074,966,918,460,175,297,
269,058,467,631,635,509,473,876,530,837,603,213,354,072,703,054,530,413,852,
337,195,378,579,323,547,242,203,571,924,944,349,212,711,030,340,425,412,334,
414,147,422,809,308,617,413,691,828,241,644,034,461,781,664,281,227,688,927,
185,325,125,733,743,484,586,952,221,730,267,370,611,720,683,057,078,380,413,
268,235,214,911,779,896,045,023,954,086,326,630,488,904,295,810,919,850,917,
478,207,822,647,423,367,769,987,181,204,328,530,724,335,481,326,745,898,199,
077,427,983,864,420,018,290,732,350,758,738,560,008,760,956,142,267,137,090,
633,150,361,088,354,457,889,206,591,969,968,656,612,240,897,038,516,492,522,
441,866,742,999,093,713,549,875,385,336,054,159,197,525,685,679,934,043,807,
001,608,818,724,179,682,163,092,335,404,339,833,131,470,522,641,867,890,505,
803,652,417,655,359,342,179,924,125,286,922,009,885,456,947,993,637,284,932,
784,887,570,921,611,170,007,749,242,416,791,233,605,506,147,590,124,541,701,
896,692,982,306,139,977,065,389,513,492,632,196,010,880,452,047,482,714,947,
190,900,705,040,379,463,826,783,479,870,951,086,246,950,007,315,591,324,650,
575,353,418,331,450,510,941,840,632,836,247,233,685,334,109,434,606,286,883,
176,754,080,283,042,430,461,890,121,640,646,151,374,868,189,107,357,100,064,
709,233,232,580,631,020,633,919,317,826,166,700,530,968,146,369,690,165,841,
797,077,453,060,944,824,999,928,925,015,353,882,601,732,532,562,502,545,537,
936,455,658,551,243,058,178,971,073,813,434,409,052,786,687,306,221,266,473,
352,842,825,293,300,629,524,958,429,594,185,478,850,940,833,813,278,299,123,
628,796,464,635,975,619,725,312,762,577,796,138,057,574,641,911,681,963,779,
308,507,662,141,270,457,723,667,988,024,634,922,642,655,383,701,010,594,234,
630,352,706,690,917,851,947,360,777,251,507,289,418,568,053,566,919,244,367,
671,402,034,112,261,079,891,037,100,229,784,591,193,190,950,354,433,636,402,
228,595,659,248,505,697,026,229,768,441,070,384,427,543,113,450,012,189,377,
587,072,107,240,443,487,401,667,033,979,188,746,427,254,609,794,115,317,060,
674,747,603,947,710,251,224,093,632,782,845,970,882,929,062,514,921,845,533,
100,474,859,997,816,043,628,339,214,904,638,451,744,732,866,679,776,335,141,
407,415,096,123,517,231,540,778,332,200,123,949,298,583,526,902,068,130,052,
703,673,711,556,813,453,720,071,209,740,368,265,834,305,453,451,664,788,300,
381,942,357,802,204,475,285,094,763,288,972,776,151,980,752,736,232,758,294,
543,986,713,958,851,523,801,652,519,365,311,484,812,724,542,143,009,360,100,
682,374,381,170,382,526,548,399,550,380,440,141,153,003,904,224,931,966,817,
721,280,650,751,244,558,884,615,390,657,431,967,247,135,684,699,949,190,585,
098,466,105,082,129,805,116,417,066,622,559,864,140,079,081,554,126,259,685,
526,115,559,997,176,990,565,277,684,459,433,174,005,613,161,976,523,589,579,
675,170,746,818,616,469,393,642,543,639,918,300,406,569,153,052,719,126,092,
757,965,583,997,847,678,518,681,816,420,853,770,986,620,983,091,316,437,291,
506,088,617,279,764,644,828,822,958,709,839,991,460,087,624,536,868,785,480,
631,001,872,184,308,999,392,247,884,115,568,901,667,774,699,029,063,402,606,
695,588,462,385,107,962,161,891,433,496,915,101,365,901,617,884,937,862,733,
387,655,023,334,755,507,382,683,755,242,832,312,256,888,668,520,885,218,519,
425,192,316,250,336,236,751,017,647,944,157,941,162,100,370,585,666,196,931,
042,001,855,633,556,103,369,544,153,357,364,746,219,914,839,193,117,872,381,
374,847,041,539,876,617,616,108,519,973,435,998,627,539,733,476,237,786,273,
362,430,842,903,719,798,395,707,441,830,010,621,640,687,574,328,854,068,330,
130,855,138,181,244,560,258,047,475,135,504,837,466,934,543,543,765,488,495,
453,825,970,586,440,126,271,731,672,614,306,919,976,476,249,897,760,117,447,
675,512,903,497,867,944,832,069,803,460,060,639,430,927,610,669,465,104,715,
246,546,586,099,025,022,126,081,610,787,684,595,328,167,859,933,198,570,753,
006,763,324,504,248,597,340,203,537,823,755,465,538,821,136,144,963,466,322,
852,718,560,726,269,530,223,623,553,343,322,906,618,767,203,925,232,794,986,
246,139,705,629,645,905,544,529,482,078,971,001,581,063,171,701,807,953,115,
335,790,129,327,538,420,230,293,408,575,951,154,034,840,031,690,101,397,890,
135,586,448,216,243,889,480,708,409,769,822,495,129,116,204,234,826,389,095,
985,279,894,360,709,825,781,241,217,825,365,621,937,625,946,145,885,735,071,
650,987,607,880,503,905,575,098,686,460,078,265,079,347,794,650,688,617,264,
927,001,395,360,885,592,058,255,080,112,320,666,051,976,770,156,544,779,313,
759,146,632,614,295,601,348,871,452,245,435,514,985,982,994,661,572,831,106,
914,814,600,456,785,474,781,634,753,557,000,852,071,206,725,815,022,966,481,
305,073,820,337,000,072,540,166,664,358,736,701,187,559,299,139,028,565,107,
152,518,926,047,781,966,411,442,975,143,478,315,011,285,482,734,245,402,804,
354,192,626,045,207,857,185,179,940,078,918,078,276,130,779,811,675,547,102,
225,234,720,719,459,504,149,003,882,569,389,467,814,815,269,843,082,300,313,
670,672,294,112,332,182,281,641,666,530,391,497,419,866,110,479,249,867,023,
457,162,514,327,445,397,034,768,612,319,203,814,270,545,972,241,948,526,482,
588,716,113,150,107,596,945,600,082,580,575,920,703,791,761,848,669,785,727,
973,111,222,698,461,317,727,041,134,002,918,471,002,882,622,629,742,294,376,
985,817,916,693,691,330,307,141,943,213,521,586,733,089,590,896,534,049,399,
010,042,726,804,323,275,341,381,242,606,706,198,045,299,374,085,813,229,405,
722,732,748,677,596,396,280,940,914,140,485,066,636,034,430,957,275,554,298,
220,748,507,836,558,636,630,547,553,752,423,673,770,245,604,211,632,049,231,
292,907,451,355,607,228,733,419,694,538,280,590,802,719,862,832,449,701,701,
671,220,656,128,928,243,220,353,854,506,185,642,763,942,093,440,460,824,382,
086,409,676,543,464,204,054,073,981,693,703,671,383,423,931,512,264,376,716,
948,678,113,881,925,779,741,966,145,552,776,611,525,202,541,174,415,456,654,
335,158,264,385,250,682,191,775,592,615,003,977,015,092,708,828,485,519,354,
380,313,328,098,974,387,665,005,599,608,358,655,134,635,412,448,015,176,069,
990,459,165,453,636,915,786,362,412,645,448,775,750,587,026,601,452,614,490,
064,146,577,420,940,293,910,283,131,363,640,802,606,159,814,713,241,767,531,
186,612,334,673,688,145,001,893,550,315,801,282,165,257,775,614,791,689,708,
458,910,103,485,725,001,435,266,889,352,518,322,795,174,338,134,546,915,774,
776,403,319,343,328,971,252,772,167,155,882,873,070,771,263,535,540,170,278,
273,731,856,954,668,907,560,163,361,833,967,495,204,336,534,512,041,370,926,
820,179,562,833,916,482,953,474,267,665,417,337,072,473,881,845,023,095,463,
018,065,366,496,634,465,787,863,607,865,046,533,493,073,163,947,485,227,572,
667,653,861,052,136,423,845,911,208,586,385,700,655,770,122,238,312,120,323,
358,396,378,583,337,298,273,705,684,005,939,191,056,453,805,347,634,965,335,
732,150,919,867,891,010,069,703,083,866,298,648,353,398,272,731,513,989,211,
177,365,294,080,399,528,925,187,156,357,570,556,345,074,337,931,901,927,067,
619,077,399,694,946,605,416,362,174,185,305,477,610,334,020,443,123,729,854,
983,470,669,509,104,836,173,089,828,972,695,432,622,561,697,832,108,170,806,
141,619,732,109,727,274,181,215,233,418,028,265,152,469,329,371,738,587,032,
309,129,771,753,112,857,405,114,133,067,784,520,666,769,325,094,400,933,867,
599,454,112,496,084,511,614,459,601,702,796,275,139,787,953,814,304,560,678,
511,154,569,725,441,116,594,090,769,735,062,588,631,539,836,629,981,015,276,
935,209,785,248,416,265,269,476,250,980,737,581,424,774,724,804,502,893,046,
149,935,729,802,221,668,588,359,201,436,360,776,071,554,192,977,019,691,851,
457,743,483,312,343,223,882,719,530,616,551,698,366,942,096,599,026,442,168,
778,383,314,986,315,564,400,149,931,086,301,357,299,589,909,068,769,588,066,
712,923,816,404,791,467,015,412,346,182,231,459,557,883,333,203,584,560,565,
015,046,077,543,875,843,731,553,675,428,501,398,101,287,212,065,310,148,268,
243,007,307,665,412,562,428,714,349,638,179,820,556,756,034,682,580,687,850,
253,649,299,892,844,256,434,120,088,136,918,151,240,301,000,679,048,553,523,
091,866,031,911,878,901,604,109,620,259,570,866,138,922,414,068,090,257,531,
586,852,127,563,333,461,477,395,014,578,613,922,690,615,431,050,456,819,172,
147,223,657,302,481,889,905,226,823,746,075,517,006,941,722,047,045,655,458,
649,327,138,361,229,753,573,298,395,713,783,590,103,065,937,164,953,387,353,
367,722,254,238,571,167,343,541,275,346,957,525,764,774,869,240,234,364,053,
493,464,631,886,097,068,743,750,551,145,367,046,237,424,959,562,428,160,774,
472,725,880,691,003,331,815,679,316,493,947,775,056,290,767,328,204,424,574,
073,121,942,442,248,082,413,235,038,531,635,322,967,597,040,145,180,743,477,
985,299,499,081,990,239,202,449,233,288,069,279,537,521,654,338,273,822,959,
712,981,135,839,091,137,692,191,935,061,610,032,128,063,044,221,615,327,693,
358,187,034,759,886,706,195,333,925,723,728,177,673,109,233,049,438,053,020,
196,009,349,872,718,766,995,442,504,417,602,062,285,607,757,117,618,775,284,
248,177,506,666,548,035,275,743,160,709,736,712,264,631,229,042,485,000,067,
467,682,567,579,509,675,466,365,642,215,353,525,460,471,044,970,670,142,941,
083,950,341,237,363,779,855,549,278,562,979,679,969,757,768,354,781,051,602,
121,924,627,940,747,694,785,437,829,145,954,094,088,177,051,690,894,982,306,
097,916,381,056,894,117,750,184,719,649,011,358,011,395,181,559,305,195,570,
236,156,837,390,085,028,906,411,970,644,764,891,767,168,903,548,166,224,827,
229,438,645,488,936,613,261,206,249,636,053,142,305,970,803,251,754,403,181,
644,328,485,650,468,068,398,311,075,614,658,985,126,895,670,795,477,720,053,
243,219,640,557,077,434,732,527,439,382,540,592,158,039,350,696,933,404,773,
588,678,904,052,471,507,642,059,376,395,083,397,114,912,056,096,057,185,360,
203,988,185,512,441,127,616,783,342,485,324,478,397,836,240,420,957,164,615,
287,542,018,860,229,192,824,529,950,068,706,662,932,503,995,892,922,683,318,
662,755,306,491,930,764,613,001,687,285,371,999,059,858,443,079,194,056,490,
252,776,024,137,712,335,025,027,627,983,117,845,840,109,572,952,527,645,556,
328,805,700,549,970,063,361,897,554,979,900,509,062,493,933,099,702,465,738,
655,261,030,367,523,359,688,856,598,251,119,193,419,987,504,378,065,833,514,
490,006,932,859,767,171,497,376,635,613,893,615,500,097,575,165,194,205,243,
670,573,734,587,910,704,153,432,827,533,073,074,733,369,157,696,723,029,066,
754,056,179,418,500,944,397,258,490,435,353,140,886,368,224,089,699,893,449,
265,864,615,596,488,818,167,972,017,813,262,935,828,228,066,656,804,333,494,
776,859,222,697,520,669,608,287,536,625,438,523,847,834,732,838,643,030,954,
558,528,111,635,762,338,060,153,768,634,944,277,223,689,136,705,608,242,563,
437,387,740,209,798,218,951,715,011,547,482,741,755,762,892,006,650,274,884,
056,325,188,807,107,113,257,011,889,407,742,964,462,039,968,274,374,371,256,
496,566,567,589,095,397,934,674,055,295,414,531,237,589,817,149,971,468,918,
992,771,005,158,176,278,268,372,159,126,269,374,827,891,964,173,597,740,141,
981,391,097,446,693,941,018,567,829,675,541,531,003,552,023,875,372,725,550,
767,853,938,322,736,765,451,086,835,306,183,927,931,388,260,267,419,908,254,
151,732,452,951,651,728,550,908,336,900,397,389,609,488,222,442,840,467,712,
750,398,820,865,952,906,450,138,529,638,256,342,381,262,279,992,873,289,189,
441,648,366,741,484,445,306,823,100,602,632,025,038,781,586,864,862,967,671,
900,585,435,503,943,479,522,699,287,929,224,104,169,230,275,921,305,107,091,
607,268,978,007,146,865,756,904,539,149,896,680,856,129,885,531,636,608,893,
900,654,710,192,973,057,933,586,386,641,520,369,808,939,185,085,187,870,412,
363,891,194,766,960,942,172,507,505,549,156,519,772,097,617,539,357,679,466,
716,464,038,521,921,240,243,932,875,353,391,694,961,334,140,828,822,598,094,
090,629,631,282,533,037,938,547,349,005,380,770,530,979,802,713,851,214,479,
842,873,081,096,056,235,656,477,107,451,322,061,813,264,114,824,486,743,239,
684,296,071,529,676,401,002,131,060,235,023,801,963,748,387,969,121,939,668,
788,521,664,743,139,708,836,777,563,165,924,264,953,612,255,619,240,648,504,
227,083,913,177,879,046,886,003,558,928,935,746,138,234,351,805,370,826,521,
947,488,560,344,886,438,220,056,711,312,109,190,481,091,741,510,983,906,143,
961,027,907,431,115,449,534,538,666,038,458,432,529,729,620,157,688,492,599,
291,896,822,916,684,036,774,653,490,688,606,921,803,961,174,159,722,836,327,
868,932,843,308,773,867,887,492,511,373,994,136,369,040,153,844,035,552,197,
128,986,306,513,271,874,171,480,513,603,711,585,662,503,055,444,600,085,898,
811,465,002,651,043,226,358,999,099,876,310,662,505,091,427,246,447,930,000,
421,985,162,503,841,709,471,339,914,485,945,651,976,809,364,958,876,263,116,
103,376,145,224,587,916,920,171,996,858,005,167,010,987,304,014,611,689,032,
286,178,587,223,841,141,730,159,892,046,893,672,464,776,157,545,829,392,191,
695,488,246,767,770,712,693,839,442,640,036,972,799,703,149,124,923,412,076,
958,067,778,053,686,938,001,096,244,178,389,251,262,596,517,755,527,550,541,
374,790,800,484,127,436,310,965,348,031,553,159,248,389,230,586,326,462,477,
647,202,692,123,083,208,181,580,274,466,570,527,662,494,577,448,461,654,735,
012,978,995,475,704,842,640,125,248,212,745,200,117,328,962,072,866,287,876,
940,031,390,065,053,977,485,769,642,955,881,335,987,646,079,097,032,379,629,
541,413,848,141,267,488,422,236,758,479,715,991,414,079,959,735,474,924,179,
953,272,581,797,224,500,243,724,678,821,602,034,862,523,615,682,227,233,933,
394,544,477,253,703,961,719,833,450,780,744,041,539,832,322,415,487,050,429,
918,967,799,056,556,350,704,144,617,962,194,423,069,331,061,057,111,709,082,
771,889,225,220,994,051,629,144,698,932,451,371,753,944,604,651,788,350,514,
184,227,120,995,787,892,353,584,831,990,126,914,236,063,480,818,180,466,233,
569,181,431,753,259,586,711,631,958,331,915,496,216,736,207,268,484,803,241,
626,575,535,481,886,160,724,396,520,682,201,729,476,184,515,417,205,321,880,
796,415,775,301,263,174,322,036,331,651,472,208,058,196,110,243,264,184,596,
413,459,722,612,337,773,109,960,775,070,263,555,756,657,864,047,746,404,054,
709,164,332,368,997,171,403,831,450,412,401,801,642,547,784,705,962,112,084,
802,673,971,695,686,437,210,343,089,438,541,299,319,726,047,899,527,186,750,
276,463,330,385,681,809,999,022,808,256,059,210,548,349,287,226,092,405,353,
071,939,695,024,692,675,754,305,911,872,945,709,892,732,611,651,492,796,225,
779,404,975,625,999,957,362,012,864,266,106,174,225,996,937,062,766,365,852,
533,650,093,448,277,619,758,777,179,927,148,611,337,051,965,501,804,354,382,
046,598,801,373,888,008,641,202,180,994,350,570,203,030,826,783,192,778,821,
898,558,022,993,290,200,407,266,560,565,359,595,600,148,779,158,545,438,811,
203,757,542,707,325,759,427,771,830,175,004,878,769,822,442,380,311,181,849,
743,339,180,604,224,138,488,650,408,308,481,484,044,857,161,521,259,021,798,
718,341,151,525,817,569,114,836,272,697,887,800,485,875,127,236,945,833,783,
412,027,475,855,226,655,132,815,540,329,963,598,239,132,680,795,955,749,434,
046,190,850,692,936,463,531,846,565,563,487,037,028,751,418,417,341,175,113,
312,732,045,571,336,042,987,496,126,926,557,483,288,785,496,868,728,040,354,
667,454,073,210,037,016,321,503,190,070,906,365,891,455,674,167,070,559,423,
495,933,315,318,845,794,591,076,232,323,815,894,991,224,135,065,815,985,083,
597,563,035,135,140,762,349,589,153,633,368,149,181,466,439,567,784,087,182,
000,257,724,786,506,852,627,429,095,203,869,602,423,936,195,987,885,378,706,
097,163,364,097,448,151,458,532,390,746,740,214,663,669,491,916,030,646,828,
391,718,263,047,321,593,088,892,754,829,402,570,553,532,283,921,210,874,481,
809,532,245,124,799,145,286,845,852,815,711,847,048,550,752,547,650,421,047,
625,368,322,583,977,938,703,151,851,918,730,166,413,290,472,999,087,998,265,
371,334,627,259,750,054,027,261,955,249,126,989,854,649,540,526,147,357,258,
348,809,462,713,828,507,768,279,993,061,142,240,331,734,051,537,903,785,890,
703,350,746,776,491,402,651,933,815,579,178,752,864,305,751,643,913,477,674,
170,890,569,508,632,084,071,143,356,899,469,559,068,200,667,765,675,086,340,
710,650,485,703,060,283,678,139,501,123,390,239,573,288,989,529,717,071,072,
033,553,290,949,124,866,630,943,489,536,183,900,167,475,584,447,582,770,373,
090,898,743,803,685,359,205,304,634,769,039,004,036,390,039,630,122,091,230,
522,967,864,416,488,738,968,169,276,820,109,163,177,692,105,526,284,689,945,
251,434,333,078,478,330,189,113,584,769,997,555,392,318,871,065,458,441,755,
184,552,928,417,092,195,283,256,604,076,385,248,893,742,579,593,650,518,765,
943,192,356,030,831,065,584,072,098,260,377,259,597,786,267,283,116,005,883,
685,903,378,939,942,509,081,628,922,208,094,172,035,142,789,267,275,846,077,
142,659,787,582,429,723,016,967,613,469,704,811,271,914,882,602,101,640,380,
454,775,618,881,959,907,400,761,445,514,328,352,949,623,713,547,412,375,061,
586,256,429,558,600,098,390,771,713,140,521,071,698,459,601,328,799,209,358,
119,369,867,558,611,582,299,288,828,043,295,457,265,303,105,647,063,905,350,
115,077,790,518,000,218,925,054,039,007,805,667,300,705,510,829,681,813,872,
194,853,220,436,197,663,910,086,741,514,825,838,216,826,751,107,592,229,306,
268,024,480,874,144,350,801,518,285,902,683,287,971,011,041,542,035,073,820,
256,895,743,223,771,927,586,919,653,789,757,901,898,662,831,570,121,913,601,
026,188,100,129,402,702,201,949,658,545,333,152,888,815,804,685,422,323,308,
048,630,452,193,864,161,608,158,097,965,422,205,068,630,624,486,959,120,773,
998,952,822,318,241,878,125,817,687,688,791,886,553,210,182,948,090,154,982,
829,463,014,709,602,546,559,841,071,688,691,368,835,212,595,779,494,293,772,
351,734,374,495,739,599,098,448,109,712,078,587,038,991,897,772,541,098,808,
743,091,431,558,603,259,615,950,909,900,926,353,061,852,896,667,539,775,309,
594,187,147,645,683,144,721,879,632,587,923,172,292,358,938,900,420,381,351,
582,238,208,698,788,070,313,510,763,898,014,979,872,148,261,748,119,815,924,
768,537,618,710,268,378,771,160,086,179,067,224,728,438,072,194,178,819,139,
945,415,877,647,348,264,502,484,208,081,094,609,967,589,610,591,670,846,138,
391,474,034,602,468,730,238,821,097,317,999,650,875,175,353,459,639,013,902,
628,176,843,850,780,200,023,089,720,895,762,858,465,009,009,905,562,704,074,
554,695,896,410,056,136,094,490,591,693,126,405,497,671,726,078,049,387,274,
526,805,907,840,276,147,510,362,415,100,034,632,184,092,297,486,573,949,672,
736,787,285,486,529,145,606,464,421,424,828,569,188,555,678,133,374,322,967,
311,168,091,555,692,078,324,778,409,791,886,494,450,333,301,090,655,931,931,
439,882,292,061,883,575,730,552,876,809,902,087,811,952,512,673,499,835,103,
544,185,343,971,743,985,560,750,967,184,488,480,227,113,330,706,737,436,311,
333,448,056,941,731,129,719,194,430,500,553,333,693,533,333,956,689,024,366,
461,522,389,713,299,873,242,510,229,360,500,624,481,822,301,960,160,783,505,
046,457,037,296,207,846,634,182,736,863,636,519,571,943,404,246,713,808,907,
512,330,625,078,709,041,111,610,611,614,972,864,899,428,903,343,716,310,791,
495,757,749,649,054,408,115,616,982,677,540,365,576,049,156,089,068,107,154,
620,699,877,997,621,946,826,783,828,676,765,589,147,755,301,515,764,558,131,
482,012,047,916,700,749,622,704,885,309,672,485,027,958,983,576,651,571,672,
960,919,556,830,175,987,542,220,461,853,344,589,865,785,879,774,659,530,121,
712,042,235,812,840,326,856,005,750,611,596,692,823,530,897,213,699,225,238,
525,576,502,360,793,160,143,943,519,239,125,767,381,298,841,728,232,459,378,
641,690,711,687,990,833,548,444,047,593,465,570,723,623,503,980,297,235,921,
511,133,820,711,356,662,466,239,769,722,186,794,081,452,438,507,891,665,675,
192,342,617,615,102,436,060,952,463,960,459,929,353,582,677,615,921,588,477,
626,740,387,560,870,072,346,443,495,895,561,053,461,467,791,626,877,461,902,
839,418,379,372,250,571,459,144,693,207,880,040,356,863,455,123,559,593,386,
443,523,415,368,063,309,866,027,161,542,050,665,138,293,440,150,674,064,202,
626,515,105,996,516,015,269,441,028,305,782,839,031,632,221,738,773,070,592,
393,866,546,482,977,365,188,267,619,307,070,126,661,725,406,928,164,291,753,
696,295,398,469,277,907,258,621,137,180,333,732,288,717,601,116,529,955,038,
944,580,085,123,384,408,006,354,809,551,612,617,338,296,055,947,653,446,424,
369,270,578,983,294,625,540,609,824,801,255,273,333,964,741,515,967,705,961,
893,698,492,002,650,241,814,717,928,071,842,457,220,857,775,569,754,018,348,
291,461,045,655,429,440,311,231,923,100,375,130,975,870,981,872,157,223,517,
467,379,769,893,649,721,448,336,452,304,282,445,648,497,871,494,541,534,164,
120,485,928,457,870,675,117,989,344,189,820,856,221,588,206,438,208,167,196,
995,681,613,232,520,348,704,237,639,827,922,179,814,786,872,294,421,063,922,
375,632,310,858,491,307,258,360,204,164,584,746,353,019,041,399,183,100,316,
695,600,939,812,630,044,800,511,306,090,589,435,895,711,268,932,700,683,701,
278,878,725,890,301,457,661,310,383,793,571,068,347,805,784,060,410,978,393,
867,378,397,967,464,426,441,795,269,773,405,761,969,161,738,357,978,352,500,
001,954,538,761,923,868,716,649,275,805,087,792,789,024,560,295,593,925,663,
699,178,613,234,529,610,454,755,306,273,155,191,837,035,434,021,259,279,232,
088,487,722,365,902,998,419,224,218,749,228,646,423,580,757,511,899,319,126,
580,893,635,191,057,343,034,518,676,995,031,163,974,716,099,907,179,991,363,
285,472,001,506,232,871,278,973,525,002,198,201,567,153,999,460,654,372,273,
815,315,058,901,452,539,709,317,431,156,576,036,094,709,793,746,489,532,888,
909,782,835,165,233,050,475,251,967,393,132,518,492,028,033,987,495,817,734,
632,069,936,190,757,978,254,078,584,333,087,792,512,593,622,399,377,562,757,
291,592,445,332,076,203,469,286,293,174,534,109,961,888,207,734,012,024,659,
382,420,451,671,044,977,046,103,623,890,157,704,035,574,803,277,923,774,648,
443,449,385,464,010,040,327,647,724,045,982,487,629,481,852,507,893,000,758,
504,587,520,628,389,284,849,112,545,507,084,189,124,568,188,687,211,621,398,
780,477,162,232,615,535,248,721,323,319,267,764,590,055,521,290,942,071,072,
671,206,503,727,321,416,607,615,526,360,692,262,420,929,514,691,193,258,900,
338,739,483,532,603,920,865,247,401,436,812,275,772,640,551,464,958,775,901,
856,213,145,550,457,430,212,480,101,418,052,000,696,100,329,374,132,366,551,
210,464,563,907,370,388,193,707,171,890,455,353,573,754,333,741,259,501,128,
821,601,829,860,969,124,296,012,246,863,894,652,332,833,117,260,616,565,028,
367,100,688,504,723,419,947,208,448,889,826,830,050,443,081,377,065,580,396,
906,178,352,113,937,882,125,124,007,925,229,066,741,909,872,309,444,411,916,
292,585,984,066,448,846,697,879,216,224,117,527,518,634,141,081,233,038,339,
713,663,207,771,488,969,197,234,062,338,279,096,727,632,859,558,594,614,741,
797,041,988,497,090,462,350,423,018,149,065,697,191,790,380,409,889,436,389,
610,197,400,060,583,519,233,573,079,188,156,452,667,203,889,628,604,698,661,
845,115,496,376,679,968,226,833,096,186,894,140,850,769,537,992,923,831,059,
407,816,202,628,592,033,582,876,610,207,825,026,217,854,956,801,922,262,168,
522,534,021,105,768,351,154,088,355,719,041,238,523,250,957,951,703,707,246,
382,286,350,805,717,337,857,113,390,764,510,506,121,784,127,188,354,069,308,
140,115,135,859,375,443,329,875,132,246,170,128,744,478,388,032,319,609,475,
535,360,938,443,035,519,465,173,717,381,952,002,823,666,939,314,057,608,244,
006,658,240,071,365,888,781,610,433,439,693,677,306,905,490,364,187,242,468,
967,100,978,686,899,378,599,361,298,318,267,899,987,837,920,541,198,611,293,
054,456,023,026,205,557,111,406,520,008,899,617,166,537,075,489,981,303,004,
920,255,311,869,953,090,049,379,844,151,744,189,116,656,638,003,750,618,188,
316,557,514,268,962,485,363,936,662,198,319,265,004,412,505,853,405,604,441,
174,665,830,745,094,142,256,826,864,370,202,643,338,640,996,935,815,817,245,
312,891,380,044,440,326,473,781,934,442,968,665,337,362,886,158,860,605,913,
288,845,465,450,774,900,725,026,244,170,089,347,394,966,045,021,556,581,867,
118,131,221,940,020,501,191,148,370,553,829,365,390,709,680,169,477,022,393,
244,550,522,551,114,173,298,165,390,103,687,238,652,430,808,463,722,864,898,
226,016,055,491,272,948,628,651,395,423,060,778,917,904,627,986,101,273,418,
467,743,503,728,627,519,723,281,259,292,196,391,484,338,061,008,551,224,795,
834,760,216,559,885,899,607,791,798,580,137,803,425,438,726,823,379,333,733,
844,705,520,006,588,458,072,543,393,036,704,555,522,069,232,627,084,266,809,
673,072,382,945,738,184,638,698,455,836,953,705,247,674,673,321,987,224,440,
845,374,601,920,091,359,564,939,549,220,946,286,769,609,584,084,450,383,306,
056,893,674,806,273,733,800,938,236,054,020,881,898,528,634,242,309,981,233,
047,939,597,451,376,489,661,841,727,796,103,271,178,080,585,858,173,212,749,
981,676,525,732,983,761,520,482,140,434,318,829,611,513,132,929,380,120,462,
963,640,145,855,423,325,339,930,864,894,794,912,261,812,232,476,923,403,195,
896,445,866,187,526,811,972,332,287,306,817,743,260,102,559,493,835,854,975,
808,602,526,564,386,463,821,394,242,038,428,552,865,141,794,716,706,628,517,
868,534,257,567,600,790,015,708,505,475,949,488,650,517,657,050,174,670,348,
648,335,473,619,733,019,134,063,357,318,193,404,559,818,536,381,904,774,919,
896,412,048,513,603,531,617,813,079,221,011,756,631,111,149,668,155,244,271,
461,624,231,570,562,087,199,397,599,282,084,621,273,694,412,596,454,087,092,
646,066,249,515,260,651,449,175,520,529,669,685,956,205,610,873,877,256,598,
015,612,939,673,759,970,019,268,069,673,736,307,863,765,112,671,211,199,019,
048,500,769,372,095,435,159,386,916,427,205,775,363,353,255,868,335,989,321,
519,893,770,898,827,787,453,980,819,600,684,081,628,638,083,641,320,001,874,
521,718,927,179,174,542,455,539,390,348,420,972,926,528,356,622,223,192,551,
118,607,210,059,835,011,508,718,743,178,001,163,431,429,495,220,614,351,944,
210,513,244,690,336,852,074,616,117,885,689,806,829,296,948,308,201,387,989,
877,631,201,536,524,739,686,900,220,435,296,020,489,184,995,689,103,828,763,
377,278,523,228,997,472,419,564,413,918,805,411,850,948,403,274,212,217,567,
949,444,226,832,816,521,937,717,990,769,121,716,405,891,062,368,009,115,587,
897,421,288,637,027,830,888,735,225,161,554,840,032,239,722,162,829,308,620,
782,192,751,150,916,876,431,370,074,435,722,150,381,633,541,759,251,619,143,
335,079,343,050,232,359,748,838,329,037,442,207,933,413,868,007,927,447,778,
463,813,732,012,091,554,938,562,411,232,479,760,386,918,718,773,629,739,321,
572,167,856,172,753,578,325,492,196,065,651,530,163,964,230,275,172,957,849,
695,651,920,114,969,229,522,376,983,717,932,013,369,490,071,843,061,296,788,
761,108,858,916,173,549,589,117,557,489,453,700,033,035,344,234,101,906,395,
506,470,908,785,623,366,780,022,342,179,708,837,329,528,249,510,749,120,988,
235,973,861,293,625,806,803,446,269,704,649,083,788,671,631,737,202,320,446,
411,888,750,767,099,798,711,722,332,702,623,530,132,971,607,081,263,083,712,
772,317,327,277,495,924,489,173,276,199,157,175,476,612,744,319,944,172,176,
749,561,093,223,458,936,173,608,368,916,564,003,864,719,477,557,475,068,779,
753,341,503,715,154,005,365,032,214,655,552,017,187,528,727,721,767,028,146,
616,704,331,084,666,999,768,587,234,953,610,966,285,327,189,276,110,457,459,
342,085,578,508,010,508,611,713,372,702,441,148,785,244,397,949,430,336,204,
526,981,177,198,870,074,506,363,851,761,668,528,170,658,696,323,713,206,637,
974,770,383,025,747,110,489,901,171,276,893,445,091,124,756,402,826,592,672,
389,977,356,896,940,615,062,811,013,227,357,291,551,715,122,573,658,632,485,
892,158,039,545,764,280,115,761,263,521,310,068,321,287,822,308,180,932,989,
637,310,105,027,916,876,461,882,307,153,934,877,729,239,753,613,341,506,479,
617,081,088,564,935,833,533,593,512,661,988,637,786,084,432,012,252,536,818,
619,458,833,407,959,719,877,402,171,729,618,529,853,300,555,265,639,662,955,
322,559,001,119,555,569,400,732,880,852,754,170,012,215,995,616,259,369,406,
825,320,317,049,677,681,237,678,964,226,885,263,415,522,630,423,943,519,030,
033,527,681,894,623,432,365,816,255,798,693,272,957,744,548,772,838,951,376,
302,906,479,220,704,981,269,099,416,927,387,354,429,503,720,561,595,178,170,
050,171,581,188,664,379,169,894,241,218,267,528,674,269,882,205,687,356,918,
054,896,828,141,730,298,531,464,534,704,054,226,887,074,119,889,720,135,303,
772,249,788,198,238,012,275,373,106,612,804,072,986,866,815,408,881,314,713,
637,377,469,009,023,109,321,393,014,200,152,005,718,448,351,342,673,448,626,
569,954,805,470,662,181,959,206,159,575,226,207,137,161,193,017,730,827,621,
978,362,293,379,684,844,524,362,298,536,455,065,441,221,980,280,135,588,816,
087,130,577,541,148,561,782,512,254,686,220,462,009,007,528,837,966,725,693,
748,729,996,407,360,754,465,870,686,607,610,228,015,451,947,168,013,101,522,
479,534,070,357,820,249,015,487,757,512,042,314,735,681,916,891,772,561,665,
170,237,924,768,578,580,972,741,836,375,614,487,638,958,893,278,234,820,421,
818,041,162,562,846,088,915,880,229,023,415,726,822,203,161,757,147,352,523,
595,353,981,484,924,535,489,944,105,643,315,473,714,899,924,574,880,519,244,
659,568,703,452,555,897,060,076,865,195,874,208,779,890,735,045,407,959,934,
110,734,312,731,855,768,612,112,612,337,703,266,962,981,711,137,008,088,821,
991,569,339,769,793,481,108,745,152,690,430,103,150,016,200,385,424,334,607,
291,211,037,256,855,741,249,167,685,286,902,927,570,410,126,999,519,571,203,
613,078,856,432,619,374,323,344,472,688,030,967,668,272,752,100,189,846,384,
382,592,719,291,332,387,633,454,925,233,162,924,227,244,788,938,288,401,164,
572,671,842,472,869,621,707,499,603,081,045,273,131,074,307,069,952,956,485,
230,061,628,559,965,724,061,248,548,221,915,903,901,113,225,366,899,168,568,
054,126,220,746,679,688,637,380,759,855,720,941,814,482,707,491,402,120,443,
544,392,160,106,411,381,409,515,315,595,326,704,122,610,362,848,096,793,747,
946,264,047,540,124,148,182,165,916,845,620,605,316,699,592,481,739,769,593,
035,955,762,741,365,160,730,857,455,574,288,133,561,620,799,503,517,588,196,
184,123,507,928,754,904,131,998,861,237,370,926,473,190,523,281,656,283,977,
173,457,379,474,306,275,655,067,001,679,177,475,034,110,492,356,997,500,370,
158,005,861,293,621,727,079,869,789,210,733,858,465,740,802,360,725,654,656,
489,211,262,401,306,557,025,972,607,347,685,908,010,666,623,735,710,636,658,
484,844,103,188,608,364,165,702,293,285,110,676,377,420,257,922,997,147,718,
527,762,709,474,534,141,321,882,652,903,824,294,802,811,928,065,289,788,642,
760,573,911,958,363,329,235,413,432,712,028,333,409,749,772,369,450,583,477,
715,480,837,885,605,578,839,543,196,076,269,729,022,994,139,954,455,173,449,
178,488,822,161,365,331,360,967,347,223,609,213,419,748,168,281,834,416,714,
635,695,848,424,076,893,659,698,813,249,925,184,171,903,928,522,443,215,839,
476,340,987,353,393,009,924,331,596,478,712,268,394,475,995,440,059,543,404,
176,075,974,228,696,736,461,530,517,742,622,877,193,337,229,530,800,706,153,
375,692,882,608,545,936,129,442,108,276,284,974,432,051,075,759,458,734,243,
036,470,190,442,631,710,501,138,085,335,852,377,694,517,978,525,591,866,819,
724,130,813,703,558,529,593,983,367,531,333,856,911,526,930,831,814,715,773,
137,672,082,670,806,513,387,641,488,115,783,199,545,670,288,852,029,449,186,
597,731,248,145,921,667,571,115,617,411,099,420,210,393,844,228,247,703,615,
166,861,622,339,300,170,318,100,520,972,770,293,900,171,296,071,591,418,336,
833,029,075,160,061,918,269,832,597,219,202,723,011,381,167,606,661,960,788,
293,152,550,806,899,226,095,441,045,347,606,379,933,920,536,544,882,710,437,
600,112,670,378,916,243,743,932,912,767,779,157,400,100,518,729,831,036,573,
484,125,063,603,168,300,586,363,032,373,563,693,194,986,203,150,781,228,778,
294,345,103,915,004,656,486,850,062,232,264,719,853,682,758,591,978,308,283,
545,636,664,533,346,411,453,258,051,048,606,843,241,054,223,318,104,194,459,
550,048,119,006,347,352,715,467,926,800,229,633,496,792,043,602,926,232,750,
560,167,371,680,186,154,223,509,523,281,130,185,240,146,585,749,546,173,104,
989,967,998,789,649,116,818,919,651,108,578,179,401,088,535,679,244,000,776,
175,103,535,768,715,136,822,213,701,357,542,999,596,615,746,742,065,257,979,
979,667,860,579,030,507,487,540,803,207,844,808,503,762,394,394,901,694,322,
412,779,465,566,872,045,089,395,555,367,892,921,082,493,740,041,913,435,495,
841,608,462,503,232,692,193,572,557,273,235,536,839,814,093,761,228,126,594,
712,282,709,330,610,871,719,419,520,112,621,602,353,356,827,398,567,053,445,
072,989,056,651,595,027,282,578,625,616,261,903,250,036,910,267,783,471,149,
997,626,631,194,253,504,230,295,701,746,952,358,923,813,406,609,918,769,997,
381,823,161,044,223,382,737,828,874,505,468,319,251,470,827,626,522,014,146,
339,803,840,938,887,835,643,741,937,322,305,509,294,119,591,554,272,064,272,
994,681,969,773,962,541,359,519,162,343,164,617,073,589,290,287,158,869,373,
426,077,900,097,504,812,311,555,663,371,948,462,463,020,851,632,856,041,344,
622,661,830,378,642,904,306,364,131,544,082,351,828,087,057,380,678,749,162,
329,335,797,704,983,868,172,423,578,198,013,869,654,005,240,648,933,427,054,
556,957,755,913,359,121,663,710,388,844,100,358,771,548,806,255,941,582,277,
901,488,355,683,224,710,050,459,026,203,722,669,002,429,430,741,302,732,046,
037,231,122,709,813,090,617,118,923,057,785,429,525,157,593,424,803,760,805,
033,379,983,586,564,607,245,807,594,346,329,584,645,068,290,529,251,966,109,
770,050,845,583,008,078,523,313,144,726,690,852,252,246,562,284,742,227,634,
562,354,776,472,786,084,878,121,557,221,525,448,854,256,022,903,659,808,966,
621,286,365,110,249,988,728,823,622,859,050,726,196,217,541,300,371,899,448,
251,773,810,643,071,463,309,068,557,327,861,920,329,105,668,984,732,263,108,
689,561,481,069,984,766,557,558,158,460,021,780,873,001,244,123,672,870,695,
276,861,673,680,701,253,116,817,755,734,581,833,337,172,119,152,469,612,631,
549,723,581,021,370,953,148,564,507,078,371,011,138,225,362,901,625,763,308,
884,765,426,858,067,438,455,920,348,542,450,869,680,389,587,523,399,915,319,
854,088,016,043,734,586,823,269,800,385,938,404,027,584,399,884,093,480,452,
263,268,524,017,110,379,505,420,246,007,139,879,227,566,911,258,205,515,944,
376,725,550,773,032,224,001,014,634,862,082,870,303,550,180,104,432,998,548,
748,668,998,003,790,673,585,298,438,520,618,438,816,941,222,255,693,663,989,
837,767,812,792,281,425,538,121,427,052,072,028,024,644,809,330,299,649,966,
685,604,338,979,675,660,221,739,465,702,705,289,772,932,362,971,823,850,698,
315,296,722,077,309,756,143,253,779,842,453,321,047,229,203,237,937,873,208,
762,778,637,466,270,924,067,388,697,562,914,404,442,135,324,280,775,148,972,
474,278,213,337,831,758,825,372,385,415,911,839,133,856,326,039,604,177,545,
842,708,016,587,990,679,111,401,017,668,516,354,644,905,427,594,869,779,166,
147,490,410,729,059,741,927,923,710,466,824,255,741,440,940,814,516,992,035,
101,828,797,601,116,181,688,176,282,145,283,054,062,552,529,888,722,694,040,
264,090,751,601,140,728,919,954,527,670,900,214,852,918,611,876,889,838,747,
425,377,515,036,613,014,129,064,984,584,429,242,291,144,718,770,228,238,135,
765,332,196,391,939,061,855,972,067,295,470,944,470,413,063,910,327,337,701,
093,933,800,332,349,182,179,506,526,235,081,295,107,656,347,640,433,124,066,
530,669,626,743,968,732,070,594,698,189,466,991,689,506,821,456,529,722,078,
861,443,274,693,263,911,927,692,344,620,197,741,348,598,639,767,146,663,064,
293,245,071,162,714,152,403,349,995,134,281,162,249,469,610,455,614,851,872,
124,046,884,082,407,344,662,177,080,171,981,943,684,879,826,749,317,439,078,
371,922,579,184,665,450,236,445,025,452,192,398,554,557,540,178,495,721,557,
532,509,182,938,157,547,142,649,940,992,118,291,001,239,010,463,253,040,440,
565,767,474,783,928,076,583,648,581,994,111,197,393,569,380,187,326,862,817,
737,707,246,549,485,331,723,801,722,515,849,436,479,272,854,219,729,312,270,
286,510,269,755,272,450,972,429,762,667,608,803,986,819,050,591,861,337,308,
503,343,462,844,672,252,748,532,380,080,383,340,739,988,148,656,789,977,644,
561,151,957,587,700,354,586,768,475,993,866,364,646,299,061,828,718,051,925,
850,633,583,043,380,979,016,974,603,917,524,695,386,087,502,410,991,123,549,
670,436,799,403,310,196,141,624,127,189,733,972,473,294,486,651,912,947,753,
068,405,216,340,974,945,405,233,248,939,686,037,014,825,308,026,571,243,299,
341,164,140,828,906,786,206,977,217,578,935,928,998,068,267,732,876,715,267,
685,095,091,716,963,279,948,049,207,372,369,250,471,457,211,268,223,737,037,
775,486,301,529,934,531,026,760,390,797,098,982,535,672,419,543,434,576,655,
190,566,772,355,413,283,848,131,971,875,204,802,352,253,800,893,820,217,393,
999,313,176,541,531,740,153,319,644,989,261,473,848,936,645,551,373,060,152,
362,324,506,192,739,116,746,855,924,544,224,734,694,440,567,710,026,161,123,
223,382,870,617,587,357,649,327,494,147,344,898,961,410,866,384,817,138,877,
895,619,139,191,724,052,809,585,811,109,538,968,760,375,939,065,572,180,230,
776,963,769,036,946,571,726,962,970,667,719,361,200,221,632,985,839,873,050,
273,208,677,628,265,613,610,492,520,927,197,083,450,380,674,335,520,764,778,
315,532,345,730,281,758,905,291,145,038,564,073,228,756,907,734,676,708,014,
121,690,016,498,135,786,756,187,885,629,453,413,747,434,161,940,913,037,060,
725,580,577,855,527,628,526,987,161,759,380,282,284,666,636,182,588,435,366,
853,116,834,758,847,744,839,889,497,967,434,298,265,685,023,237,276,698,962,
552,652,496,986,392,282,519,777,508,190,932,361,038,829,310,809,332,270,344,
812,254,009,890,440,334,661,032,224,163,865,844,423,593,921,344,316,181,447,
919,161,727,256,174,839,902,688,481,339,289,946,104,768,089,854,254,281,744,
949,855,364,335,015,662,676,226,299,242,446,389,260,411,474,993,063,137,811,
465,246,943,270,889,046,575,675,543,847,389,434,746,419,092,026,562,805,639,
785,576,336,903,667,794,321,143,152,612,130,562,220,020,521,775,848,357,948,
480,940,037,752,384,311,803,771,017,093,941,612,039,347,428,489,301,944,016,
343,331,483,451,790,256,645,573,479,264,514,907,872,016,244,646,051,632,216,
603,310,865,545,956,235,497,862,896,198,844,343,805,832,581,122,790,806,540,
955,068,324,257,764,504,401,560,722,010,902,776,623,204,594,271,227,377,448,
135,777,650,444,377,982,059,236,270,409,363,118,234,806,238,449,512,455,222,
005,102,328,736,664,339,541,142,366,072,770,833,267,420,173,655,131,920,002,
274,479,198,783,342,811,905,950,455,288,098,794,298,366,931,531,429,923,891,
248,001,517,463,672,111,118,827,301,484,979,051,423,393,144,976,124,311,392,
184,837,430,419,331,893,960,314,036,361,472,210,745,035,653,037,186,718,545,
118,971,861,811,212,938,544,033,257,356,181,627,668,578,821,358,842,010,071,
938,299,723,592,463,005,435,189,930,705,971,904,597,492,222,216,889,219,427,
718,883,263,447,304,194,606,561,845,034,550,950,820,186,402,891,770,953,795,
448,318,284,601,151,881,095,203,760,474,768,686,902,754,448,617,223,228,421,
517,850,172,600,279,494,846,378,887,992,656,295,450,388,723,014,109,149,482,
966,342,334,181,344,335,936,172,640,388,556,272,689,352,394,403,918,800,893,
405,015,818,574,779,660,680,414,198,684,716,671,216,315,685,640,066,016,077,
869,963,131,202,400,068,893,300,866,080,454,150,103,329,312,907,560,582,142,
428,275,003,692,396,686,160,485,579,772,438,582,654,548,301,185,972,080,048,
564,942,917,413,258,093,448,828,130,774,174,708,983,982,198,611,924,500,263,
652,996,146,966,907,621,610,809,362,622,017,977,622,571,380,719,030,961,569,
263,187,017,854,407,032,736,404,255,518,695,090,044,822,604,449,169,911,053,
987,172,031,542,627,567,821,750,641,779,893,224,138,720,837,917,615,717,048,
863,460,799,257,489,564,395,745,587,295,257,267,733,121,430,266,646,052,017,
064,204,577,677,214,176,622,466,819,810,563,401,856,704,703,606,291,054,945,
575,319,009,870,479,750,633,836,005,987,467,751,651,971,152,332,907,587,467,
121,418,891,894,203,589,630,447,244,999,043,569,152,642,078,352,216,975,873,
150,614,303,366,135,027,591,227,974,225,019,240,639,646,682,964,465,201,764,
314,342,181,294,957,648,511,602,411,671,592,800,495,645,625,433,824,703,102,
844,969,656,704,611,423,979,520,125,573,422,555,953,066,926,249,865,717,697,
985,274,693,655,263,684,850,671,097,095,978,323,943,348,313,885,967,358,805,
127,160,429,001,197,982,149,548,153,719,934,715,973,616,581,491,716,149,561,
450,921,864,512,360,347,878,082,198,076,176,236,449,208,361,977,616,028,617,
947,013,426,450,932,838,637,796,605,568,867,482,450,664,225,845,412,524,833,
519,359,148,684,346,697,834,952,882,005,947,266,904,458,116,001,467,156,839,
325,877,634,338,549,041,812,231,719,613,373,475,497,531,939,900,585,758,964,
204,057,563,438,723,124,174,920,623,863,188,044,821,737,782,115,243,514,207,
600,761,914,765,460,028,869,138,477,756,282,698,985,289,913,732,664,046,559,
404,950,209,649,578,417,793,821,273,879,557,739,226,399,744,686,131,437,268,
300,949,643,588,921,189,203,867,463,474,736,372,766,199,200,587,346,175,611,
121,658,563,461,165,875,399,792,574,972,009,039,531,799,126,518,356,137,244,
743,217,307,153,259,462,766,917,280,860,535,936,497,391,588,587,512,504,127,
238,138,525,475,279,517,809,487,357,549,417,231,189,958,836,156,416,760,319,
399,222,292,153,444,596,523,073,176,870,842,054,758,981,276,280,711,509,349,
906,280,786,683,895,888,227,030,236,360,564,584,099,447,006,274,854,565,301,
897,171,590,591,490,907,040,042,381,649,795,344,079,685,694,266,808,010,669,
133,710,436,116,628,881,041,308,718,579,012,782,442,103,705,683,856,678,857,
227,421,390,327,330,707,550,864,509,900,159,084,285,603,024,971,793,805,407,
264,550,445,116,835,538,352,362,038,876,186,529,664,490,445,741,158,273,028,
302,159,880,594,144,648,519,669,306,798,532,842,265,205,989,319,678,626,563,
119,678,981,877,371,138,620,850,646,217,921,689,129,620,245,235,348,929,664,
048,244,248,343,873,416,993,562,305,769,035,642,004,683,728,145,116,708,014,
127,161,372,538,711,978,883,702,164,718,282,386,820,735,636,630,314,565,341,
751,759,846,571,944,739,071,032,153,846,857,760,684,145,580,600,121,476,000,
331,176,213,930,640,726,068,861,327,094,469,232,778,049,541,716,444,867,680,
087,612,801,386,617,016,157,628,222,437,700,168,905,559,016,092,700,263,474,
219,481,522,212,389,057,458,000,646,409,844,717,470,770,256,241,175,268,942,
748,207,711,115,111,900,964,973,441,134,642,351,577,793,859,870,811,329,445,
520,627,311,691,885,360,582,586,106,116,502,590,747,793,174,164,477,481,396,
080,773,604,557,907,923,809,518,791,351,431,699,537,087,133,606,650,480,223,
556,527,001,823,852,372,527,888,517,432,810,194,377,697,992,099,633,534,870,
267,217,136,360,864,029,751,658,139,676,107,865,429,878,844,790,684,620,976,
762,885,528,145,280,583,493,609,322,820,104,204,786,503,956,850,604,364,428,
189,084,680,857,116,611,716,378,633,323,960,876,564,657,815,604,585,560,376,
643,448,709,197,007,679,431,161,186,761,624,050,475,984,352,288,748,870,817,
542,387,755,100,291,585,814,140,510,503,275,545,413,017,604,200,231,567,612,
022,865,079,407,623,455,494,514,317,703,103,273,525,027,010,936,957,632,515,
366,892,752,950,152,095,487,341,052,287,172,797,805,377,439,490,888,909,843,
164,141,449,616,878,236,212,800,198,772,407,489,690,858,986,594,937,279,904,
306,390,586,500,009,143,668,088,750,766,615,821,561,397,386,093,655,848,216,
153,754,176,317,063,253,274,285,451,418,625,065,630,013,088,613,262,211,679,
599,513,926,967,666,399,461,062,886,261,475,660,587,388,694,949,559,125,615,
114,232,106,573,351,269,626,175,422,991,439,402,641,643,340,312,737,934,775,
451,122,114,742,775,857,549,595,299,241,604,829,352,557,475,408,322,458,239,
007,365,421,991,622,044,397,619,657,190,018,206,851,032,742,117,000,411,351,
241,662,198,852,491,297,516,371,207,200,297,343,166,925,567,250,310,004,253,
683,932,429,678,947,464,306,839,389,909,033,963,464,319,355,770,479,242,031,
391,498,438,098,242,361,105,027,018,119,136,130,274,386,254,366,286,586,627,
069,066,102,261,135,412,532,745,021,542,500,266,521,652,014,776,639,070,314,
599,590,313,132,904,217,397,478,026,568,711,160,102,616,833,801,198,109,946,
303,945,251,868,211,636,632,396,596,791,536,659,714,177,622,541,767,359,560,
471,270,820,337,102,453,777,279,220,017,300,614,102,398,239,280,528,988,275,
541,168,747,658,957,616,462,924,621,964,299,278,302,551,913,215,147,903,697,
265,731,483,306,607,171,407,902,246,249,003,375,060,880,901,314,486,022,269,
844,240,802,875,852,678,393,830,636,017,415,492,823,346,876,281,151,575,514,
719,802,477,104,080,105,680,237,658,349,597,007,795,508,439,651,856,436,767,
864,282,142,279,348,057,031,346,752,337,559,873,195,772,185,057,372,118,174,
384,861,572,999,042,021,122,514,581,200,278,380,701,621,794,657,039,181,541,
785,977,633,376,610,504,431,217,082,230,427,914,081,015,524,847,194,152,448,
738,282,514,258,442,368,725,854,111,490,317,425,901,319,256,350,470,837,058,
109,659,319,646,211,400,510,359,871,185,827,023,083,107,375,956,198,537,924,
874,055,926,541,870,848,162,197,828,096,553,269,206,700,843,575,651,810,144,
632,645,611,161,030,412,976,137,904,773,843,105,665,998,303,423,737,392,943,
743,403,798,213,171,068,452,831,984,984,850,988,442,305,664,266,439,602,399,
504,933,836,137,174,674,197,107,446,913,300,743,916,323,034,633,080,532,320,
411,107,338,140,108,429,046,957,552,736,392,436,659,560,731,915,918,285,766,
013,049,421,385,987,246,507,455,761,449,834,468,056,270,987,806,246,022,389,
305,157,277,434,469,662,430,688,529,285,973,221,163,019,417,054,944,936,762,
369,167,155,908,020,686,195,047,742,980,968,417,820,841,044,334,109,328,915,
865,567,131,631,723,850,827,440,277,401,398,430,116,959,077,444,102,571,913,
594,907,227,958,140,046,505,107,257,686,147,304,091,559,871,215,453,253,465,
959,518,827,811,828,226,483,980,770,175,581,471,925,884,293,563,077,834,481,
649,793,019,809,943,135,525,022,226,248,004,157,162,174,785,259,445,077,321,
505,724,617,377,157,068,181,524,053,485,079,604,689,496,148,208,575,380,160,
810,483,444,043,695,736,230,677,596,241,949,607,786,920,954,151,138,225,439,
703,541,439,565,325,045,143,375,277,733,772,695,382,545,642,881,583,372,385,
450,028,608,358,748,936,930,559,380,343,151,739,133,456,112,871,805,471,830,
201,296,783,617,924,546,640,210,212,910,016,992,043,038,215,638,029,258,823,
224,463,902,685,266,209,100,564,084,203,547,542,020,754,840,117,799,528,307,
916,627,110,253,495,186,769,403,234,138,472,104,888,906,006,226,734,332,177,
200,220,989,205,245,632,887,833,990,121,528,267,117,568,073,806,085,578,916,
125,459,911,826,755,275,104,649,424,588,065,944,576,613,179,721,151,915,548,
161,416,046,637,269,442,171,646,439,417,734,630,780,120,477,499,136,474,340,
299,255,598,917,636,056,143,049,010,185,744,349,167,719,728,126,877,234,578,
963,543,409,501,562,764,744,808,181,152,033,523,854,230,281,386,966,880,097,
687,814,627,561,460,194,907,814,575,003,134,406,259,662,561,644,591,632,965,
916,463,433,341,625,665,686,074,456,715,181,656,158,938,201,427,981,517,055,
079,147,237,029,623,507,688,914,440,694,905,507,730,546,202,409,398,448,996,
847,706,737,800,437,383,425,002,722,782,414,854,321,893,561,598,896,837,927,
630,522,458,732,972,039,643,233,400,524,315,802,251,635,952,988,456,708,071,
177,954,731,969,563,221,806,282,198,761,251,561,659,486,670,822,179,225,444,
430,980,422,453,336,640,516,295,957,258,215,328,998,024,003,531,498,260,936,
469,034,718,864,859,826,799,200,348,980,881,813,544,281,547,728,638,412,733,
475,184,446,144,036,926,834,674,360,257,085,546,224,581,616,083,293,749,498,
681,063,760,370,943,404,689,659,998,176,887,444,411,508,811,890,824,984,233,
562,972,080,250,228,093,111,680,284,260,121,727,878,852,385,230,010,870,624,
433,432,855,437,242,149,385,941,351,514,362,366,368,188,797,718,876,241,694,
404,157,641,526,940,940,032,111,056,584,023,711,966,246,065,026,417,603,257,
901,290,939,875,218,148,410,328,949,648,798,430,190,128,003,685,306,504,296,
980,983,044,132,789,000,623,414,348,760,652,048,471,324,283,853,014,605,853,
993,255,868,533,051,612,136,044,013,119,371,406,871,746,851,168,672,979,481,
577,030,462,786,299,140,134,475,774,264,836,023,254,422,226,561,912,406,941,
177,100,710,885,722,041,140,046,061,133,784,088,599,715,188,147,986,710,302,
816,528,138,338,372,835,394,029,162,592,496,415,964,058,857,730,834,560,963,
870,034,616,394,163,318,977,183,249,264,639,532,387,633,148,954,525,642,060,
972,467,394,733,146,190,247,572,177,429,479,321,064,540,304,228,708,149,414,
530,880,629,387,837,567,229,344,891,656,281,942,250,355,539,540,869,170,765,
808,918,771,617,489,458,405,354,219,728,928,962,915,802,749,547,430,050,745,
307,813,876,238,655,114,163,490,737,519,237,510,554,334,854,730,795,541,479,
596,650,810,131,279,039,266,669,090,190,766,226,954,543,937,894,661,458,381,
498,100,158,555,807,759,096,694,071,397,132,368,026,604,750,418,107,949,069,
913,059,245,509,590,279,425,730,829,417,888,610,590,668,721,571,053,004,363,
240,558,528,625,002,498,846,086,743,586,055,114,487,224,581,810,138,915,504,
061,070,191,326,542,711,287,889,083,657,727,528,029,225,671,381,031,823,995,
498,649,728,849,421,805,941,289,687,093,697,760,441,044,924,299,732,787,056,
862,931,217,221,399,058,319,456,286,968,671,407,734,599,710,817,846,771,965,
598,163,752,147,579,770,737,998,802,592,970,381,052,003,899,787,882,968,682,
297,638,572,690,865,258,849,120,498,068,068,321,144,761,190,682,266,177,866,
707,758,567,060,883,704,206,808,573,016,850,575,123,561,511,497,590,718,735,
773,103,404,491,792,527,786,112,003,945,477,504,897,201,755,251,982,886,643,
243,035,093,805,047,297,846,838,245,015,102,078,092,031,843,117,824,048,138,
411,014,746,172,809,920,160,452,124,355,509,893,005,323,905,154,618,381,789,
617,315,392,676,173,378,833,137,616,467,393,429,447,589,239,799,052,615,260,
134,369,477,866,660,805,047,716,254,540,177,147,771,195,917,753,596,346,331,
035,327,510,221,909,270,851,332,521,747,164,762,791,971,856,851,302,818,067,
417,585,582,956,792,443,207,607,759,461,394,177,927,250,635,278,497,907,969,
355,367,853,784,918,882,826,218,735,854,813,559,113,803,386,220,261,526,007,
502,860,803,988,049,672,231,090,548,038,613,941,901,237,775,226,306,839,171,
833,307,221,907,936,166,019,468,891,897,536,188,674,059,755,631,337,046,403,
353,971,816,332,936,994,881,159,059,821,409,938,131,935,974,348,948,079,411,
152,200,262,788,534,397,398,864,219,283,392,710,174,713,400,049,290,254,982,
850,140,908,368,401,042,807,632,297,079,866,555,609,810,585,856,469,590,554,
010,266,016,964,478,925,738,932,660,525,074,818,957,373,141,872,924,407,285,
603,942,440,215,075,423,152,229,647,948,100,888,069,960,743,738,989,737,369,
358,562,949,286,149,063,846,130,401,396,140,305,074,371,578,816,842,954,513,
856,974,453,779,607,523,178,469,318,127,741,540,283,343,085,055,414,921,153,
935,326,765,320,219,102,037,076,805,168,902,360,982,916,815,578,228,535,452,
454,211,014,949,934,666,177,341,089,418,963,412,074,301,344,623,509,499,273,
725,141,312,792,595,137,454,417,338,746,094,562,889,188,945,583,268,174,497,
832,719,816,208,031,879,636,154,113,794,003,319,497,260,861,027,089,257,939,
469,774,376,142,143,443,841,999,438,324,894,150,843,762,423,852,971,212,704,
030,608,921,059,536,343,144,852,525,316,864,461,096,943,213,926,333,115,781,
953,158,741,664,825,800,173,141,281,965,721,528,073,797,713,517,449,840,305,
369,964,897,699,537,668,583,584,906,284,458,474,606,542,043,784,936,959,893,
778,626,723,268,735,482,202,617,903,908,638,851,989,926,510,854,156,378,628,
249,190,252,066,222,100,478,595,511,763,135,334,281,865,130,308,515,683,420,
404,131,847,220,571,040,226,670,156,533,956,659,538,978,936,627,375,977,125,
741,785,858,385,102,597,864,960,850,010,774,662,834,727,511,278,958,979,127,
690,201,770,959,111,111,682,078,107,287,198,252,407,382,418,283,709,065,853,
387,431,007,759,601,123,803,403,399,225,291,025,035,336,562,420,611,940,135,
582,501,958,079,307,657,291,032,724,322,248,070,047,066,167,040,344,751,110,
027,245,675,940,838,587,441,547,519,259,018,201,279,125,890,239,720,376,375,
360,561,064,668,517,966,183,364,276,912,947,502,547,110,823,125,481,534,838,
088,497,527,131,830,871,011,023,957,882,381,227,491,012,207,345,443,807,176,
508,389,743,371,438,565,407,548,767,171,518,635,385,931,897,725,790,392,340,
871,841,177,252,869,921,532,733,627,110,464,090,899,868,061,437,959,002,892,
767,588,010,269,722,360,139,548,536,725,518,941,919,016,545,022,324,791,481,
081,059,540,309,830,554,747,983,024,403,320,704,281,415,526,893,867,925,399,
146,337,668,452,566,575,762,524,388,864,085,180,622,849,333,881,305,449,385,
968,099,175,566,536,076,659,752,929,270,149,721,774,608,981,869,097,993,923,
742,145,479,656,997,266,338,644,151,596,656,304,430,688,868,774,327,565,835,
771,887,203,755,582,241,949,838,761,050,475,628,836,309,695,347,353,397,703,
391,866,084,590,776,452,979,449,897,787,971,924,415,549,807,888,260,695,591,
197,826,901,886,063,794,495,807,379,420,116,820,661,778,752,061,865,396,433,
705,886,751,954,815,780,315,249,283,165,875,757,063,612,570,885,339,229,354,
002,099,763,913,522,631,623,571,885,096,467,918,520,959,768,959,807,646,783,
760,659,319,012,766,526,736,084,224,133,760,754,764,006,822,519,855,153,346,
385,800,782,920,870,256,618,313,301,598,536,612,033,205,225,489,196,103,296,
229,853,772,133,440,921,395,137,773,284,073,294,769,091,662,463,368,615,590,
515,530,043,227,397,136,461,409,512,186,079,185,386,162,891,411,285,728,501,
255,137,068,000,949,030,090,936,899,688,881,371,586,821,009,385,375,584,191,
180,107,167,865,110,264,413,672,695,929,902,445,774,030,452,120,959,834,375,
226,181,080,422,022,245,600,881,710,137,732,594,270,863,117,009,452,053,787,
165,841,195,419,351,081,859,452,400,259,026,254,796,634,433,920,752,874,062,
305,705,971,765,851,260,308,220,196,664,746,728,459,456,664,181,466,390,175,
659,938,642,261,868,365,701,821,342,357,061,310,380,054,190,487,294,975,111,
448,289,749,430,751,552,776,482,314,482,263,725,242,649,987,858,111,234,939,
154,427,551,693,825,671,364,241,254,705,514,391,955,865,875,538,391,247,933,
141,307,084,472,730,723,428,082,258,208,742,531,492,007,433,905,275,931,040,
522,967,030,597,723,578,465,189,093,460,858,166,441,387,529,098,628,467,340,
007,682,592,430,546,720,713,291,132,683,053,512,832,858,442,008,619,211,745,
834,714,552,344,428,099,192,952,198,241,992,059,047,138,438,245,710,566,581,
191,681,258,135,677,042,331,783,829,057,533,297,606,536,941,804,112,438,428,
156,292,352,576,193,423,829,577,013,926,455,876,385,805,470,982,239,486,411,
233,995,131,310,726,435,563,216,955,727,349,158,518,818,228,168,608,268,821,
925,793,355,559,429,698,831,888,459,592,840,480,086,546,245,149,550,178,808,
703,397,750,084,453,557,261,428,690,080,819,695,704,059,384,376,568,110,414,
305,385,967,656,524,150,768,593,127,638,913,662,892,564,681,191,223,836,711,
232,310,823,652,463,803,272,766,444,678,222,263,383,663,895,792,469,250,690,
587,433,167,203,841,124,221,573,244,690,851,098,754,896,078,104,698,502,464,
984,025,835,690,327,120,056,576,862,352,772,830,310,356,866,115,927,185,323,
519,425,634,300,168,889,445,762,746,512,096,669,656,772,294,022,518,964,370,
664,679,192,623,953,037,298,823,020,083,379,352,065,782,376,976,787,354,626,
680,616,544,660,612,059,234,730,207,471,406,173,084,708,102,658,849,976,159,
119,817,071,431,632,237,444,962,565,193,907,605,679,190,648,603,381,261,621,
829,884,715,971,389,297,177,731,927,863,876,283,783,519,398,733,182,222,156,
009,098,466,072,443,103,709,852,508,276,630,459,079,009,915,665,238,481,662,
535,654,714,739,941,975,409,304,781,395,325,853,124,150,554,356,878,571,486,
699,945,247,489,232,764,055,806,177,299,503,866,265,378,699,778,584,162,156,
235,730,678,590,904,130,439,054,296,676,516,069,312,894,989,242,060,541,122,
533,494,595,318,703,339,374,276,542,122,633,276,247,780,851,197,638,168,087,
496,415,450,378,979,025,654,473,743,779,625,442,963,067,606,364,926,345,035,
662,896,361,882,360,838,505,420,721,623,472,859,004,454,100,319,408,958,541,
857,354,684,898,346,715,303,210,532,112,330,026,009,230,377,612,871,413,500,
777,796,469,882,593,589,622,781,503,437,181,834,133,583,745,057,628,473,644,
169,380,806,675,627,469,149,482,436,080,358,973,213,301,436,785,824,015,162,
598,715,508,915,671,914,949,066,630,827,893,669,882,663,607,801,052,002,793,
651,231,639,984,717,151,374,995,833,657,744,439,391,359,924,751,670,330,742,
517,277,964,355,763,172,381,893,415,513,229,056,599,153,088,523,402,831,933,
328,376,467,510,697,316,536,937,600,399,204,255,438,186,118,727,398,366,599,
994,807,170,065,424,756,692,808,027,078,758,916,443,300,359,492,108,492,998,
004,732,169,982,611,273,757,248,572,264,509,484,256,731,542,512,054,343,106,
545,010,851,821,221,526,688,034,813,320,497,823,278,424,543,079,885,881,494,
391,907,226,219,682,536,804,795,411,207,908,616,368,069,611,588,762,696,237,
423,077,293,284,012,810,702,650,855,410,636,286,991,243,021,382,454,338,192,
680,369,066,201,021,966,274,039,461,275,529,162,665,651,187,428,093,856,085,
414,022,738,679,337,433,701,604,126,522,599,649,007,977,926,712,003,138,045,
946,088,551,388,341,234,708,325,692,780,858,579,426,661,382,757,985,163,439,
034,519,201,069,952,628,604,187,411,397,983,918,298,937,229,239,499,672,141,
667,341,295,604,562,626,363,400,002,505,987,674,314,715,946,220,247,773,880,
956,614,313,501,794,526,572,717,605,357,166,067,105,395,645,008,655,646,171,
300,135,710,246,484,634,565,121,863,548,813,122,463,462,790,252,796,584,662,
139,091,550,749,135,917,786,701,313,564,873,535,206,733,227,341,782,071,525,
757,250,022,718,308,785,746,805,822,373,506,586,790,290,933,764,965,580,214,
899,194,131,138,873,948,953,598,837,711,525,331,362,241,009,341,524,002,039,
830,433,814,517,882,415,313,385,023,821,288,045,633,879,362,337,981,492,638,
427,071,020,606,506,794,352,976,284,132,622,620,278,047,592,457,717,476,861,
702,453,157,159,480,772,776,395,507,326,853,338,897,090,497,289,141,269,633,
466,415,066,829,055,178,556,081,949,420,046,749,821,138,240,958,074,758,876,
416,509,800,188,882,677,026,026,003,732,334,226,237,398,164,448,266,894,878,
526,639,844,075,032,153,732,602,670,480,047,443,768,510,185,276,824,683,524,
255,378,730,637,888,753,998,093,402,635,046,724,643,373,463,866,881,628,726,
881,850,999,071,683,167,661,905,413,801,228,148,771,265,304,381,258,024,716,
953,559,484,505,722,206,868,913,194,270,106,015,408,677,118,779,641,161,318,
472,964,144,895,861,256,158,760,508,762,587,275,743,322,133,233,758,890,452,
917,074,249,305,491,464,218,201,106,845,521,784,389,639,617,276,797,845,260,
867,043,888,318,599,076,659,124,148,552,151,914,089,666,545,090,521,399,833,
015,971,343,896,164,164,866,932,015,786,390,778,824,719,787,565,802,777,645,
197,908,794,900,083,649,187,261,978,528,579,851,981,981,891,527,866,543,531,
496,922,640,115,014,175,757,355,008,328,037,727,686,807,423,577,985,308,295,
611,773,193,224,015,051,691,894,853,077,814,425,257,877,950,963,720,209,609,
417,514,107,271,514,959,236,103,441,364,501,785,999,030,197,903,318,875,922,
459,553,836,329,422,216,070,439,643,176,855,497,446,532,667,219,738,664,582,
889,603,645,916,711,625,232,154,896,961,654,241,977,196,227,966,609,355,991,
174,579,134,098,071,770,856,772,496,887,069,775,588,251,283,103,601,998,828,
856,205,502,882,742,776,416,892,778,335,236,749,337,096,537,857,010,393,228,
276,237,823,647,480,578,721,448,968,132,343,428,120,918,311,685,990,999,681,
224,012,116,478,419,678,661,544,766,707,611,449,713,883,388,478,385,732,031,
031,829,798,418,559,067,624,951,383,482,119,629,073,987,112,045,104,272,743,
907,160,500,712,098,270,538,102,594,367,532,773,298,009,697,772,304,090,377,
697,656,311,402,627,960,080,963,772,915,821,370,125,151,309,334,187,713,634,
635,770,030,168,621,191,931,276,801,487,113,351,008,176,812,179,917,132,875,
671,356,577,024,151,030,819,856,319,450,364,097,137,480,669,703,617,301,748,
860,077,389,875,120,806,404,635,535,998,819,918,867,411,613,994,317,476,871,
749,829,917,246,059,274,086,125,403,343,177,739,289,227,996,610,267,862,769,
858,662,230,820,532,316,383,446,956,595,958,284,731,123,450,040,494,784,947,
968,061,177,122,488,131,435,686,435,076,135,557,618,322,273,397,185,089,003,
304,391,560,096,858,363,848,561,295,768,945,209,094,193,731,785,854,827,182,
421,515,229,739,745,809,511,263,000,175,547,713,782,130,621,326,366,227,119,
734,165,855,584,043,432,933,942,706,229,193,650,914,370,996,330,702,514,506,
664,722,547,959,447,783,023,498,876,710,672,658,717,174,566,548,492,717,130,
447,391,956,532,998,917,142,013,869,918,796,659,051,716,967,546,651,504,713,
608,010,382,320,051,769,591,521,603,681,573,138,786,613,968,809,502,855,798,
774,384,451,125,942,514,357,753,803,556,522,784,179,957,693,563,229,047,404,
587,144,611,216,244,092,139,244,203,763,370,600,600,002,391,786,101,717,907,
971,190,282,066,025,126,659,356,111,854,711,566,613,477,464,079,128,995,927,
946,377,604,166,747,603,317,658,137,071,975,458,344,751,818,258,110,932,151,
908,343,369,541,723,356,784,379,616,839,975,484,501,919,435,882,734,550,202,
511,339,821,780,737,125,686,616,064,879,583,344,255,625,869,426,956,962,000,
567,501,843,189,019,367,857,033,903,798,047,018,260,261,922,473,307,469,298,
874,492,994,158,601,004,845,804,884,020,429,842,683,134,813,604,382,076,162,
687,843,377,140,949,119,926,898,155,344,724,587,998,866,094,714,553,907,063,
433,828,847,131,414,384,002,443,755,439,463,477,724,038,286,727,376,967,256,
880,303,300,176,111,517,360,492,876,361,355,784,129,390,895,368,479,832,375,
927,632,382,876,453,850,136,548,530,985,677,842,746,278,135,404,835,582,897,
834,022,802,013,643,081,414,271,565,661,198,268,584,719,048,309,507,239,035,
616,756,458,932,066,739,342,977,770,426,374,183,536,972,615,862,994,862,485,
315,843,228,447,343,725,289,261,940,621,190,659,078,536,341,133,366,671,264,
861,418,485,218,999,454,395,039,988,873,666,779,003,344,034,685,555,378,015,
674,196,614,391,167,465,273,415,174,699,962,537,071,788,824,279,656,426,337,
546,435,147,996,759,580,629,294,923,964,004,385,817,751,747,083,482,697,365,
665,378,373,831,789,629,779,996,197,471,434,609,867,554,421,214,516,306,916,
862,946,835,987,524,158,198,145,099,183,909,582,812,858,088,282,148,038,090,
933,336,814,238,242,517,368,937,238,001,820,600,550,461,277,565,018,623,940,
791,663,694,166,879,108,349,830,854,344,598,705,280,975,943,811,835,508,073,
383,346,859,593,433,142,630,238,846,796,812,955,305,056,942,957,379,504,729,
584,169,251,674,233,589,197,333,798,280,510,074,250,076,751,906,982,872,984,
724,162,608,448,189,798,254,346,768,444,039,290,104,869,633,472,902,840,646,
873,852,544,665,734,648,045,510,137,376,475,992,261,875,244,631,405,300,618,
305,796,457,150,265,188,453,537,221,478,540,214,878,727,070,290,292,064,178,
956,783,508,302,402,264,682,096,353,480,946,449,724,082,419,903,410,952,658,
190,146,010,547,881,752,101,262,179,033,757,463,089,544,969,518,477,902,355,
988,988,464,596,082,983,595,832,004,653,177,989,725,000,803,235,854,204,365,
847,105,134,192,478,803,918,447,183,236,376,720,095,922,698,083,736,936,601,
173,243,751,752,320,866,316,330,524,116,774,334,115,527,035,696,179,107,567,
077,152,296,186,410,287,133,339,612,492,421,334,453,233,939,814,816,034,983,
746,151,729,002,190,253,213,437,185,492,911,190,914,603,432,449,543,646,219,
983,700,633,100,565,925,101,203,010,081,073,261,686,962,769,461,880,873,432,
996,793,629,278,920,667,919,793,852,873,720,587,189,975,069,064,032,961,673,
018,948,976,420,279,485,108,144,424,485,368,255,695,276,631,965,696,233,970,
209,841,200,657,353,021,368,881,513,556,172,780,398,937,232,557,097,009,107,
916,468,969,830,777,566,472,708,101,369,057,906,562,887,412,631,221,496,446,
810,953,168,713,847,633,627,602,506,549,418,327,330,123,241,493,907,795,711,
253,500,249,230,479,952,664,551,439,992,124,217,452,098,040,117,255,292,879,
980,926,138,894,540,871,000,790,359,676,645,886,172,053,441,981,662,721,598,
054,313,018,632,114,145,056,141,957,914,826,290,409,377,203,627,475,229,761,
484,695,336,786,495,198,123,066,418,457,362,621,396,357,533,701,839,457,184,
983,140,640,863,798,435,471,057,262,632,563,319,067,345,310,147,950,907,444,
348,164,204,171,547,862,677,780,960,768,414,664,476,592,636,679,716,997,100,
314,300,566,280,076,046,386,458,032,299,029,500,790,138,020,922,634,950,469,
128,652,968,049,184,493,730,857,803,903,769,609,981,765,921,757,499,137,483,
356,265,828,632,448,364,568,380,519,648,662,708,535,432,260,454,937,820,862,
261,660,303,807,175,520,822,656,822,786,663,397,567,701,747,852,324,033,282,
675,719,421,014,834,251,185,683,396,163,185,399,471,430,612,884,521,236,180,
333,278,454,840,799,828,728,510,897,426,858,112,264,242,272,291,211,486,786,
796,617,758,536,136,620,426,094,696,349,777,767,364,109,290,320,028,969,169,
562,404,925,644,874,439,322,320,355,333,442,401,356,106,130,410,340,868,668,
624,807,599,678,845,921,383,581,384,681,291,001,964,794,241,543,698,849,985,
662,606,541,740,745,446,889,086,111,500,896,371,082,553,895,236,709,395,857,
349,259,923,431,439,429,515,992,443,436,822,338,078,005,151,262,933,861,328,
131,505,963,433,359,540,222,096,345,584,103,744,163,260,067,971,195,068,274,
166,597,673,366,824,467,928,843,916,103,676,572,685,023,162,418,078,460,199,
367,573,825,781,866,066,723,930,552,231,057,599,904,847,779,753,485,242,535,
789,890,662,724,139,613,415,291,248,393,385,948,204,692,833,794,050,059,251,
527,637,590,893,896,008,703,457,646,372,007,679,056,271,233,054,250,501,148,
046,435,410,860,414,989,477,717,835,268,487,928,144,247,202,344,963,291,024,
982,488,322,784,884,820,612,477,480,002,938,557,500,090,236,263,266,197,992,
838,069,030,359,464,626,051,686,242,143,855,520,569,010,953,610,292,970,150,
810,707,112,479,408,321,257,040,323,708,575,923,536,463,981,764,880,687,550,
180,533,998,695,079,162,509,538,641,090,071,112,324,539,509,227,431,618,476,
098,409,368,690,806,034,819,400,556,018,831,881,339,637,465,539,394,336,403,
805,795,850,239,488,078,789,059,516,204,526,581,468,756,790,793,506,668,179,
471,759,162,035,474,797,404,627,347,634,298,978,698,625,805,409,470,702,036,
077,138,814,037,097,755,261,500,836,576,941,742,683,391,605,213,431,754,081,
050,577,751,476,786,023,011,213,772,680,440,930,351,613,746,374,407,222,446,
938,588,599,048,276,316,610,270,500,462,452,222,298,924,521,016,196,625,749,
910,939,586,590,531,631,354,013,374,739,841,177,152,892,767,402,079,047,738,
163,275,929,053,046,867,002,670,699,150,248,326,156,486,790,831,836,826,978,
908,453,251,455,755,028,385,397,566,590,775,720,913,138,427,528,139,031,023,
232,931,022,173,372,712,474,486,768,531,724,990,724,425,845,262,839,641,765,
532,461,892,756,271,686,496,597,540,828,817,917,664,387,319,597,636,020,234,
140,875,507,634,379,235,456,812,754,490,709,934,838,549,689,528,893,408,448,
627,551,521,983,028,471,066,484,321,140,145,121,692,541,274,094,011,377,593,
652,059,063,417,064,747,264,262,018,651,224,057,866,168,475,555,064,436,993,
152,394,921,243,673,757,857,566,512,969,100,273,082,495,662,830,821,532,930,
499,836,133,027,722,068,332,796,293,204,296,023,090,086,613,961,702,699,280,
775,614,966,599,504,792,070,152,380,248,189,055,874,766,073,867,238,823,606,
680,102,223,197,079,797,343,116,788,116,270,150,160,834,236,231,295,016,608,
836,088,352,361,346,583,713,287,105,716,535,678,648,080,534,497,656,149,166,
922,000,993,267,126,674,127,077,196,883,326,399,932,789,419,111,750,502,244,
445,943,618,671,317,322,996,579,352,847,774,068,770,300,098,207,809,474,698,
466,525,213,834,001,340,521,981,998,559,174,244,484,068,521,385,248,057,312,
784,499,066,028,693,309,737,102,873,212,529,814,780,067,076,866,711,963,836,
810,851,861,983,650,837,103,251,463,705,250,062,490,659,048,825,440,038,500,
922,297,599,274,576,977,877,021,576,930,053,187,358,394,790,127,355,969,945,
002,391,599,856,222,570,911,151,335,628,847,988,863,878,565,937,106,257,668,
984,485,864,466,080,605,092,766,134,036,353,583,359,759,691,623,690,901,641,
604,902,318,882,657,773,530,734,621,897,424,931,428,888,867,455,146,311,014,
520,763,639,794,966,361,627,085,416,062,574,941,412,944,954,386,487,346,508,
178,990,138,214,510,827,871,217,839,025,015,195,334,555,791,952,835,689,103,
008,944,193,821,709,655,930,977,022,044,614,128,700,909,462,898,824,474,234,
773,387,083,622,365,607,585,227,631,676,509,319,101,088,464,387,632,837,825,
932,997,782,715,660,129,373,510,983,341,862,279,421,627,289,237,877,429,405,
628,519,329,298,919,855,466,399,054,630,021,535,711,807,174,156,029,486,252,
706,520,295,115,159,878,350,653,704,987,792,979,936,937,681,013,233,545,332,
254,903,888,167,747,027,748,549,074,360,052,624,284,578,927,998,502,139,831,
592,169,419,120,582,213,129,445,645,923,102,178,152,138,860,325,425,558,371,
281,028,721,219,346,480,513,053,014,146,945,459,317,640,574,904,429,327,328,
009,274,013,439,862,398,602,487,469,126,516,672,981,785,279,515,163,457,545,
170,848,705,239,246,330,024,316,309,588,442,283,530,563,486,641,998,981,088,
135,260,872,009,074,649,556,294,723,046,235,244,401,738,195,740,483,191,742,
063,042,561,666,657,978,303,687,571,716,699,398,336,047,810,974,616,052,787,
243,089,585,060,341,391,347,681,397,245,821,409,724,084,486,697,172,343,955,
563,720,190,398,886,433,891,886,846,404,163,090,212,132,982,649,720,388,186,
992,785,895,834,637,565,109,447,318,423,477,918,021,718,404,469,452,842,799,
623,690,528,239,188,020,914,549,668,524,873,065,259,186,721,814,786,164,897,
707,896,253,911,094,130,728,871,601,157,331,035,002,264,500,733,306,941,883,
642,671,177,838,971,805,981,284,317,676,090,383,139,570,315,036,385,753,656,
401,989,787,755,786,881,559,889,668,996,552,032,772,693,518,814,439,903,144,
171,669,365,686,758,722,695,935,706,860,603,267,839,976,106,388,857,553,853,
852,883,284,512,994,006,978,292,437,061,364,603,640,621,869,660,490,414,256,
391,939,848,719,789,240,362,590,677,440,215,000,578,177,006,812,539,726,708,
577,726,319,173,937,273,965,698,669,120,375,948,475,455,388,985,911,236,175,
320,331,255,516,404,918,135,577,585,223,774,851,113,018,602,654,686,885,569,
525,876,078,285,729,395,769,882,970,073,369,498,820,739,579,403,342,883,650,
071,129,385,408,492,433,982,921,654,091,783,156,374,126,434,069,234,556,511,
529,066,502,673,073,205,184,688,566,695,802,521,640,133,174,493,381,149,371,
389,248,189,239,430,546,249,870,648,690,428,077,297,873,976,526,569,984,490,
325,692,778,023,360,522,723,424,891,423,014,328,102,897,133,573,267,076,343,
480,150,156,661,446,598,683,837,513,556,082,217,960,864,924,876,328,521,956,
232,836,029,288,702,085,071,333,721,183,135,241,094,274,119,776,485,086,247,
353,039,650,795,731,199,038,693,961,531,135,190,166,230,129,695,993,378,020,
380,171,713,945,057,700,611,485,801,922,791,676,935,922,118,315,815,409,264,
777,045,888,973,369,213,005,172,699,638,532,574,834,242,935,362,866,981,184,
893,912,435,147,769,354,587,795,338,011,634,699,133,814,106,299,583,115,525,
369,688,311,977,846,369,442,308,114,948,324,603,127,677,559,056,513,124,721,
218,122,167,299,199,632,620,739,135,080,719,983,270,300,309,321,074,812,401,
533,307,694,858,991,352,581,783,674,062,482,773,109,124,888,142,954,196,557,
495,951,933,313,269,306,527,142,409,608,318,408,195,048,057,959,156,405,326,
540,768,273,247,182,594,713,960,373,974,763,687,465,572,077,589,920,510,489,
762,983,866,994,714,055,387,323,627,240,676,666,093,568,449,466,700,777,861,
401,544,534,080,241,238,115,040,071,220,693,007,156,943,304,554,483,337,264,
609,455,014,500,599,045,935,951,274,575,842,143,148,729,831,018,772,803,060,
837,314,557,817,558,342,061,596,476,467,539,804,813,998,726,654,962,537,727,
132,896,138,969,632,425,135,924,550,961,083,280,218,934,573,618,248,704,497,
271,660,353,932,873,011,403,106,512,816,186,246,523,351,004,383,484,013,142,
603,300,895,192,450,025,789,981,658,707,414,812,882,619,129,201,920,207,378,
306,260,782,806,782,689,651,481,567,911,453,353,321,005,327,771,989,164,553,
652,894,668,997,582,781,035,508,437,670,432,254,633,225,789,406,954,059,200,
467,973,982,261,976,607,584,514,673,657,435,359,538,084,982,097,273,812,763,
209,916,745,623,438,905,561,755,299,063,090,986,586,285,051,957,214,058,057,
459,275,386,557,650,462,588,893,043,848,923,106,275,421,362,852,968,961,431,
204,932,008,841,635,945,167,594,567,467,867,010,167,443,419,522,638,774,317,
650,747,892,353,890,046,954,437,481,575,014,475,668,412,254,544,487,033,473,
518,008,668,914,683,448,791,883,558,478,576,456,443,392,068,811,375,208,814,
146,990,802,419,565,561,611,554,682,483,818,283,928,427,967,185,381,422,787,
395,890,861,864,146,627,647,268,661,778,482,417,889,162,073,846,344,712,624,
526,350,623,868,004,812,755,671,344,053,179,902,187,839,028,110,024,815,958,
237,839,444,050,035,000,657,636,561,241,261,884,881,659,539,760,414,068,053,
436,330,031,406,903,157,255,128,461,670,182,927,663,474,096,485,532,730,136,
472,607,851,423,132,655,438,415,115,818,028,571,042,813,539,133,569,906,441,
799,594,691,669,546,974,698,187,681,948,130,080,856,488,599,476,368,198,695,
523,491,092,527,417,843,893,778,082,596,125,547,054,664,346,807,359,629,846,
458,947,308,733,394,741,329,584,579,852,299,750,096,828,342,361,276,121,175,
773,860,395,747,835,217,263,529,793,265,371,877,787,180,953,806,338,208,607,
560,335,072,731,404,986,552,826,202,190,553,574,863,134,089,999,485,239,954,
358,486,968,961,874,951,017,019,548,587,902,129,288,702,362,295,047,507,684,
274,412,698,910,602,008,146,383,120,806,879,461,615,461,422,427,440,097,339,
098,277,551,585,951,745,438,044,774,926,580,136,037,916,629,656,291,988,715,
384,635,481,967,086,245,546,067,854,844,503,653,005,371,539,720,548,672,736,
501,859,807,597,992,950,408,727,420,103,018,670,528,677,353,959,278,287,371,
662,322,626,861,288,245,536,185,467,433,831,593,387,430,504,434,901,644,961,
962,036,164,129,904,550,262,011,169,851,594,105,277,596,674,188,983,077,921,
714,020,645,934,776,930,467,889,306,854,971,700,571,774,294,030,384,102,929,
718,147,618,672,174,212,764,553,025,927,291,419,357,514,129,494,723,697,133,
048,057,127,077,626,705,087,209,740,161,630,774,489,298,594,958,645,463,589,
090,061,749,477,703,005,196,370,520,679,343,376,799,900,061,435,610,402,581,
961,522,518,762,681,822,157,623,253,928,080,158,636,059,622,904,588,361,606,
538,070,817,284,152,619,417,234,114,637,337,890,929,999,019,466,674,280,992,
115,922,810,540,663,298,811,846,360,912,056,741,173,201,199,342,002,834,811,
842,759,165,486,133,598,887,251,602,033,375,454,686,905,380,311,271,790,804,
668,751,399,736,859,498,489,317,644,869,474,936,077,624,961,745,135,626,229,
069,741,150,648,511,227,907,815,972,078,649,583,765,138,141,682,666,711,901,
976,152,671,436,063,378,479,909,750,477,869,510,108,335,699,350,324,763,089,
085,495,072,122,725,437,050,470,393,634,631,187,249,388,199,768,431,348,019,
024,069,199,201,039,779,172,508,212,263,309,263,730,666,459,816,262,987,216,
228,125,349,723,867,446,031,088,901,423,328,444,939,222,343,009,374,274,844,
192,552,008,052,158,322,694,223,380,666,590,031,030,706,656,396,520,889,186,
401,275,008,001,768,022,935,768,877,466,103,825,739,240,596,706,333,125,227,
306,706,079,386,156,971,790,139,126,573,721,971,793,856,308,737,348,301,044,
155,139,209,790,247,197,209,595,965,611,658,653,522,941,646,060,267,316,658,
010,163,585,304,364,080,882,006,910,185,487,123,216,497,984,382,255,636,102,
250,296,711,934,504,708,928,174,212,994,211,874,594,891,638,908,718,628,821,
936,787,342,598,497,991,371,859,115,629,849,278,797,801,519,566,075,096,877,
987,380,846,546,216,931,119,568,819,820,153,443,158,271,729,394,221,945,153,
071,949,095,211,164,741,325,128,833,416,991,335,780,189,364,382,153,703,993,
494,360,029,065,610,359,366,217,766,792,875,705,857,746,624,786,002,375,915,
433,413,804,622,235,874,765,024,720,483,608,345,499,008,836,349,228,219,709,
863,951,814,044,192,565,710,247,511,977,698,748,821,497,596,112,264,182,006,
589,325,393,051,023,297,047,818,583,133,101,611,393,726,763,649,534,173,267,
462,843,764,323,610,489,065,699,279,340,749,812,995,353,417,442,883,232,664,
549,993,432,063,724,252,700,314,517,635,758,361,819,210,387,052,503,970,254,
357,338,804,644,038,024,775,669,598,329,386,128,183,381,951,645,718,632,261,
990,481,103,342,848,366,695,645,703,155,626,163,809,459,138,468,277,543,921,
993,899,256,723,925,764,384,338,582,055,428,227,557,840,575,673,945,559,176,
711,226,126,185,126,839,005,060,933,025,908,887,261,809,424,242,471,260,376,
834,861,551,553,915,045,153,452,806,767,690,730,098,869,903,573,720,155,755,
054,494,989,950,781,564,568,175,008,496,283,539,334,512,671,462,717,004,186,
033,628,989,329,963,568,876,722,403,947,141,708,167,416,767,921,568,360,341,
743,471,186,375,463,388,283,541,509,775,358,086,624,551,759,251,766,113,724,
471,345,340,496,458,805,360,417,945,475,684,250,389,524,032,184,349,978,612,
012,749,212,303,963,218,011,616,886,705,204,471,197,255,851,835,926,363,832,
874,486,661,701,485,374,688,533,231,349,427,265,728,238,784,457,307,801,429,
042,046,756,204,859,221,184,982,164,764,900,262,107,821,206,461,432,091,182,
227,605,466,364,635,169,281,896,174,518,765,990,976,921,371,927,718,274,434,
250,565,865,584,170,994,127,132,327,142,003,772,147,972,550,926,550,435,744,
044,260,843,114,030,698,117,539,053,895,445,072,070,231,928,938,528,444,894,
529,049,388,739,645,244,689,919,333,239,320,784,151,517,120,533,938,465,551,
106,012,908,541,739,175,275,467,590,618,916,119,091,336,588,615,814,451,786,
714,864,902,336,380,647,258,913,321,664,448,856,376,075,029,063,095,362,372,
334,309,533,281,782,035,496,014,272,438,313,882,742,664,466,735,806,458,443,
138,818,419,216,884,185,979,158,186,769,391,062,106,842,824,692,897,347,171,
365,391,078,881,458,411,578,920,138,259,315,190,314,066,939,712,035,932,453,
064,186,127,652,185,300,963,134,670,851,428,155,345,293,267,338,227,078,423,
395,507,171,197,395,054,027,722,574,993,145,937,463,559,213,494,204,410,416,
164,500,991,477,784,763,873,938,106,237,753,101,030,895,285,886,007,814,702,
232,635,551,284,341,892,125,927,706,622,291,733,440,062,647,532,074,133,181,
014,932,377,640,365,767,819,521,908,979,328,989,715,166,972,073,275,614,626,
169,997,776,999,032,944,895,041,288,448,154,689,951,592,703,103,403,352,451,
212,138,501,607,589,878,387,969,023,967,048,448,616,171,408,326,549,030,380,
542,408,882,280,439,112,041,800,722,397,382,474,089,736,846,999,050,280,230,
714,345,472,076,879,472,416,882,732,898,965,871,308,300,175,591,072,591,019,
893,925,868,459,698,290,500,606,160,239,741,815,487,999,217,053,390,863,362,
442,554,087,220,946,267,645,593,240,489,873,106,734,933,192,337,037,679,772,
518,429,021,873,135,574,021,687,276,701,618,399,343,924,290,309,284,649,574,
561,125,079,293,203,839,674,645,077,511,967,347,301,353,736,644,003,729,790,
926,283,384,489,433,542,837,815,029,447,541,947,500,286,663,788,554,722,440,
433,038,804,978,710,155,177,684,926,781,570,496,511,767,109,695,961,772,768,
042,320,067,459,031,797,714,714,858,359,131,653,787,577,176,081,861,612,555,
632,730,639,039,837,870,806,474,912,189,242,172,785,974,727,997,905,439,663,
946,494,576,275,488,956,124,969,362,085,160,141,616,179,202,798,186,811,434,
860,378,496,878,034,999,600,375,385,852,216,440,757,487,074,925,021,821,675,
863,286,363,249,182,270,605,108,886,454,734,200,847,529,010,310,024,347,002,
727,743,909,821,449,365,694,997,597,484,359,604,334,966,469,539,521,842,636,
901,123,854,974,329,064,975,733,985,232,880,650,317,214,811,563,714,677,093,
543,164,860,597,275,763,106,539,922,187,289,269,257,461,462,288,665,107,950,
031,465,316,767,762,406,374,725,428,760,492,332,092,919,378,488,960,064,318,
141,974,381,031,833,049,177,778,108,597,980,161,365,077,000,983,409,667,226,
534,173,039,171,388,332,326,813,036,810,463,569,073,453,810,087,612,191,662,
421,712,394,291,741,844,883,832,845,248,913,188,574,010,272,849,275,185,216,
282,746,941,881,685,929,148,620,727,234,602,394,416,218,343,877,288,711,769,
373,050,628,033,566,407,795,621,703,705,281,761,093,400,546,897,573,055,267,
269,169,605,091,910,538,792,761,949,618,365,848,476,704,604,025,618,539,088,
592,388,328,697,099,597,857,239,202,460,473,586,056,226,102,325,752,279,299,
837,540,987,638,443,502,829,943,447,427,368,736,014,918,506,043,452,231,576,
524,589,057,602,271,440,840,904,814,775,454,225,035,737,123,003,271,435,307,
065,059,679,354,632,711,101,156,212,542,412,852,228,506,782,787,210,189,315,
942,565,395,327,141,916,032,402,926,951,731,175,606,640,683,105,383,229,732,
731,544,718,416,354,047,066,007,956,004,907,208,378,781,523,386,453,808,277,
607,308,676,325,415,878,229,895,803,332,916,864,254,421,547,668,395,033,070,
772,842,168,416,567,558,367,295,975,048,908,300,415,917,170,048,209,958,715,
261,547,778,189,825,663,794,676,003,400,650,063,491,803,010,118,093,609,987,
365,971,937,782,993,329,214,925,193,672,265,294,270,835,334,826,157,306,623,
937,288,644,566,901,050,561,726,983,322,377,109,748,090,126,430,252,756,906,
435,985,854,441,180,378,212,460,931,952,427,368,356,710,795,809,880,292,773,
532,784,614,116,024,834,728,576,857,945,747,185,816,440,622,173,427,887,489,
815,141,403,124,496,611,993,047,800,814,871,978,231,821,570,740,994,363,976,
775,288,769,678,415,964,198,782,489,678,265,096,851,594,165,591,639,309,037,
222,720,825,706,519,648,388,142,520,182,600,160,530,890,461,449,624,790,585,
260,932,419,812,535,574,861,324,093,852,852,530,157,117,020,151,985,667,811,
837,969,390,036,537,474,172,271,902,611,703,419,849,380,943,242,544,372,753,
113,477,590,477,886,812,401,238,663,883,639,873,042,447,061,255,446,641,039,
741,421,679,014,088,510,247,988,891,812,116,328,974,627,061,922,478,391,291,
242,592,858,100,944,816,065,324,833,269,614,465,371,301,205,392,263,017,059,
013,733,457,155,548,551,387,960,243,724,743,699,458,547,683,811,681,605,912,
371,156,982,280,717,105,676,728,083,190,557,461,907,447,648,500,302,614,446,
871,384,668,327,944,339,252,096,081,536,960,283,425,800,300,360,620,737,768,
804,694,028,572,007,726,378,954,458,970,589,467,884,957,974,439,527,760,238,
274,892,882,432,721,110,179,674,667,875,120,987,566,983,497,548,006,707,494,
018,363,254,960,438,816,572,005,446,179,144,744,128,156,611,144,044,657,420,
011,000,657,300,941,368,678,142,996,740,643,018,293,411,507,035,878,419,837,
377,571,148,676,553,846,846,269,310,360,973,071,243,151,383,284,644,296,478,
257,891,394,318,292,241,220,985,557,803,728,603,212,629,190,802,254,131,792,
461,760,127,580,180,219,377,763,521,866,389,089,002,114,811,156,221,589,048,
674,122,467,864,922,484,283,213,515,742,245,038,134,081,057,094,799,377,834,
509,198,973,641,949,231,047,462,267,631,409,348,530,498,904,488,865,039,415,
871,697,350,876,014,942,737,588,112,596,600,042,494,127,326,531,020,116,541,
716,165,242,682,516,327,372,742,234,658,610,665,515,324,489,684,312,670,115,
025,472,648,576,266,676,774,116,271,321,552,537,103,308,609,998,511,766,303,
120,925,995,845,555,346,913,187,614,838,379,002,588,697,002,709,274,713,889,
575,770,261,089,556,201,160,927,991,400,754,207,326,722,617,729,825,034,073,
675,084,373,614,089,346,248,587,321,825,630,823,128,542,566,015,957,628,812,
597,682,785,041,330,487,033,194,404,536,932,572,464,315,463,409,404,056,546,
554,641,578,345,667,512,495,859,390,912,098,406,825,655,796,306,298,719,800,
408,805,196,027,319,026,043,809,492,213,943,682,457,641,524,522,961,350,532,
868,260,679,227,607,374,775,399,099,087,663,528,035,365,394,757,312,572,553,
605,786,193,221,149,502,643,077,901,579,977,201,938,655,131,825,135,813,228,
991,577,485,696,118,924,897,207,122,745,659,020,366,379,719,226,348,672,594,
672,617,311,664,818,148,090,999,147,075,676,048,749,628,953,935,448,481,652,
308,296,014,095,658,509,740,998,487,184,960,025,635,842,801,183,112,248,636,
409,738,526,312,545,648,072,790,951,633,351,873,884,378,644,090,686,985,384,
934,951,015,174,509,450,992,260,524,605,992,638,080,377,173,820,791,058,989,
091,526,630,424,180,153,997,328,945,693,983,345,785,689,729,490,694,445,204,
644,634,181,811,492,607,932,249,632,550,697,991,900,296,374,700,981,933,515,
607,524,464,563,339,745,075,173,497,236,084,698,685,229,758,233,658,494,029,
119,420,516,057,550,890,487,009,536,949,812,447,585,974,081,606,110,016,323,
355,240,095,300,027,088,897,054,264,739,560,668,270,889,107,741,061,044,526,
492,048,814,285,171,826,146,911,213,855,556,279,036,160,501,727,311,893,190,
555,232,205,323,641,121,396,922,694,726,072,484,968,438,348,234,200,293,810,
296,526,978,554,734,973,297,858,297,633,810,636,311,034,411,984,518,560,415,
921,487,853,165,897,666,933,119,630,487,995,553,308,394,020,041,673,743,444,
960,479,702,403,305,036,925,493,914,041,030,527,757,616,655,345,794,652,188,
076,806,913,585,972,776,926,529,558,195,393,137,416,015,931,722,636,319,457,
776,800,488,624,968,819,493,934,042,829,365,190,063,640,833,632,565,370,125,
753,105,293,194,084,237,444,788,596,706,520,701,496,803,008,452,262,508,522,
138,135,184,235,629,883,033,129,350,715,382,750,383,290,048,564,816,270,464,
889,165,879,932,997,231,012,550,367,375,695,858,091,752,416,462,582,802,739,
843,205,029,453,453,234,363,871,932,258,072,379,312,973,296,264,751,920,878,
749,268,427,818,388,906,882,366,727,701,138,442,571,160,884,678,562,381,737,
819,638,531,014,261,605,198,602,640,773,406,171,108,380,826,630,378,636,864,
949,032,228,059,206,837,059,511,160,274,949,790,712,788,206,204,502,265,558,
847,015,057,876,255,805,800,165,634,073,182,584,100,629,380,902,869,294,185,
015,708,156,838,724,654,727,534,181,573,476,215,530,570,868,097,357,564,712,
191,126,206,316,105,650,932,924,981,715,760,281,047,981,944,697,637,456,337,
237,530,498,891,372,010,942,430,139,138,205,525,718,408,019,550,942,825,981,
481,166,612,849,575,378,642,312,255,147,590,066,853,816,920,971,974,367,442,
317,431,112,818,285,662,522,620,087,090,244,414,571,992,726,318,637,514,461,
498,931,320,948,149,203,466,097,447,288,162,942,954,594,126,514,351,241,442,
979,436,944,771,485,930,284,301,025,567,420,887,383,195,454,293,456,145,690,
244,544,723,765,810,935,438,321,691,087,034,085,571,150,340,169,523,679,486,
938,716,515,729,905,165,794,001,089,052,284,607,694,230,074,063,410,807,896,
356,100,268,353,158,205,760,736,866,971,067,341,343,176,355,208,443,364,075,
351,741,510,515,441,723,060,232,113,942,029,892,549,945,012,713,512,245,793,
481,840,024,598,001,033,258,666,220,166,553,745,817,347,287,146,149,428,876,
543,310,835,842,164,563,718,219,882,304,755,259,660,180,474,487,054,317,664,
567,012,479,130,897,613,804,464,309,965,845,519,216,388,185,762,165,323,319,
133,486,495,994,828,009,737,752,953,129,434,422,736,860,898,670,569,317,823,
665,439,331,113,857,069,063,072,170,089,669,006,612,169,275,730,382,786,586,
376,139,020,981,871,631,055,603,653,952,785,476,962,756,694,796,739,524,328,
534,406,455,467,534,085,856,886,209,173,219,702,295,256,247,296,129,766,362,
334,045,975,220,361,787,004,870,835,624,243,664,492,259,306,927,316,750,015,
972,326,534,651,919,831,347,696,037,559,574,932,392,164,186,559,481,429,003,
856,137,550,658,165,220,167,526,164,312,145,480,927,987,641,677,214,507,719,
937,678,705,890,224,726,617,307,919,354,968,957,570,982,590,536,679,983,719,
068,500,854,829,594,950,262,044,433,419,060,393,974,564,699,751,925,463,154,
129,898,931,516,691,881,458,495,168,438,799,814,667,537,141,822,022,152,586,
857,666,294,782,755,873,405,566,894,950,227,755,066,190,265,113,104,880,040,
774,816,810,346,257,504,281,984,936,735,639,897,866,049,423,662,894,223,575,
342,083,399,535,904,306,245,774,659,260,623,760,123,808,074,452,193,687,402,
112,199,986,845,676,447,642,924,640,245,181,854,015,211,402,812,281,529,979,
251,154,411,560,973,907,869,395,799,941,147,985,945,846,907,409,786,580,528,
907,414,935,488,851,808,816,601,060,236,974,368,204,407,747,081,953,020,640,
999,661,075,024,659,468,817,313,605,463,617,022,902,843,114,815,524,394,143,
748,658,386,835,187,047,144,816,830,326,287,790,456,286,792,762,268,174,543,
091,988,863,252,272,466,146,541,217,123,515,674,956,995,505,918,264,429,361,
724,403,256,108,256,789,289,566,106,743,647,003,449,039,854,750,048,012,623,
253,249,029,142,207,207,057,428,993,815,901,759,958,782,992,289,127,743,038,
595,403,055,577,983,592,751,117,218,015,822,267,193,719,772,189,689,164,022,
625,180,536,724,982,106,876,399,088,215,008,226,228,291,562,202,112,300,038,
263,526,973,801,318,805,140,772,303,022,926,631,637,856,182,314,267,637,901,
900,047,203,804,056,831,494,097,601,308,842,775,772,137,399,783,406,446,245,
433,504,078,360,359,758,972,632,021,663,108,176,329,973,479,682,611,815,821,
893,520,312,909,705,334,726,938,494,690,936,441,979,473,626,438,435,530,626,
412,582,368,239,338,663,865,432,157,631,954,170,666,866,148,844,525,577,318,
952,908,430,398,329,749,958,297,001,413,165,493,294,988,412,310,404,372,620,
558,530,869,401,060,163,343,520,390,045,465,398,583,887,663,057,777,547,426,
765,559,395,138,544,981,181,359,121,332,844,642,453,892,896,142,183,144,340,
655,207,446,821,241,545,473,973,414,994,904,494,403,583,172,015,006,357,958,
599,465,361,499,605,477,507,679,526,744,839,476,855,907,311,666,216,865,267,
080,115,982,260,964,107,699,063,283,570,835,555,189,909,935,679,728,485,768,
052,347,236,022,410,375,045,442,022,807,121,634,164,834,540,144,323,218,631,
816,215,856,564,841,045,412,487,325,821,678,259,458,514,540,212,845,706,446,
247,323,404,259,817,526,229,084,912,067,113,539,133,369,025,529,010,207,434,
646,422,786,856,960,445,167,640,875,568,457,418,072,890,999,606,418,865,735,
179,858,228,612,503,532,554,805,147,664,058,354,362,162,956,786,933,414,579,
188,154,753,597,133,202,854,362,366,966,849,064,834,372,187,309,600,161,492,
311,866,739,330,994,847,035,237,861,137,079,271,085,220,635,638,191,427,615,
069,907,944,184,674,206,056,195,082,422,313,213,814,003,462,456,362,366,601,
195,419,292,035,608,759,411,580,496,343,710,995,254,497,428,725,471,153,822,
100,757,086,830,711,206,884,885,704,635,918,927,093,217,463,525,584,321,532,
398,738,301,064,236,018,416,833,161,172,489,948,320,113,179,919,198,428,414,
737,612,484,042,944,600,799,020,442,595,611,422,080,631,548,773,045,289,700,
850,853,337,985,409,225,040,881,673,355,151,072,506,105,375,820,089,793,539,
771,690,418,386,201,807,552,686,065,869,138,776,659,878,713,161,444,423,899,
838,569,214,385,231,625,208,939,216,509,805,125,470,162,225,476,536,858,733,
594,648,462,578,688,964,158,039,684,630,253,492,861,263,351,047,875,744,073,
280,108,337,544,290,406,261,560,902,172,575,334,947,873,600,502,172,601,858,
747,619,047,450,751,619,986,188,894,243,104,960,711,371,403,549,779,176,428,
953,114,089,944,940,163,838,346,733,328,781,328,369,935,750,394,462,194,025,
644,967,898,424,683,507,073,049,820,797,917,499,167,574,297,751,548,951,386,
786,762,896,376,140,361,566,592,497,955,951,552,417,439,442,774,860,573,781,
147,110,487,288,420,814,777,189,638,300,777,033,021,549,927,859,759,872,104,
540,221,738,943,696,519,380,095,928,305,246,898,031,503,590,329,945,976,530,
180,752,418,868,970,119,871,921,620,730,838,141,271,956,713,717,800,706,900,
591,115,625,242,632,340,127,438,922,381,061,145,253,430,340,730,430,782,651,
644,451,509,866,240,839,996,485,451,987,411,552,267,737,323,442,034,252,654,
940,477,864,327,421,408,626,165,278,237,826,174,295,431,123,757,294,216,845,
213,776,059,620,278,820,496,714,131,288,842,545,209,715,579,006,725,601,574,
282,193,870,022,677,657,102,101,873,989,229,309,086,984,472,701,580,181,689,
953,427,303,450,787,971,407,879,266,063,029,732,973,142,929,829,088,645,683,
107,829,241,111,267,639,242,803,630,531,748,167,795,642,072,383,307,339,130,
320,031,200,496,644,901,490,858,755,330,978,405,832,656,656,649,678,161,145,
330,885,225,605,553,071,085,725,048,515,092,262,761,520,991,567,457,379,741,
184,192,724,968,868,614,883,845,259,856,377,378,600,128,701,976,069,203,697,
138,112,837,468,416,671,028,810,257,832,796,944,751,233,049,086,125,488,458,
487,694,107,875,455,620,189,615,941,406,010,479,157,554,045,593,187,679,876,
894,531,647,866,977,089,704,069,264,240,717,580,135,798,180,257,119,328,254,
643,861,359,060,537,111,656,747,804,304,640,471,727,745,507,346,125,310,363,
679,987,894,897,261,722,260,004,998,748,326,654,194,833,173,748,568,997,487,
221,484,882,173,681,861,160,178,718,126,884,806,423,818,895,071,520,427,919,
952,837,866,562,683,314,693,953,318,466,568,248,951,963,688,910,812,117,607,
404,280,816,807,711,671,984,583,587,717,533,766,509,829,260,611,866,163,124,
860,544,048,378,651,521,900,618,438,225,265,494,234,865,942,386,150,463,725,
553,375,400,350,203,185,506,003,610,076,866,622,562,292,977,840,927,228,118,
050,656,246,876,676,371,946,141,105,317,906,089,006,075,058,787,214,014,840,
583,928,799,455,552,494,368,134,771,744,639,734,986,256,669,900,027,208,717,
822,862,268,741,863,044,321,292,076,020,166,675,838,169,137,758,198,305,405,
988,022,917,283,887,043,670,891,693,538,789,733,885,749,787,451,166,929,162,
817,113,821,518,870,398,158,419,190,864,147,101,228,551,168,230,355,896,209,
109,323,180,289,520,828,908,157,562,861,146,629,695,566,208,999,791,003,518,
760,678,324,721,030,199,424,495,047,577,940,361,478,787,748,722,658,678,708,
742,832,306,427,203,439,313,795,722,287,910,362,644,411,894,142,753,425,428,
057,871,970,048,841,673,888,697,914,485,178,575,707,879,185,813,159,458,109,
819,432,832,786,783,248,819,557,695,857,855,460,591,476,024,909,918,589,939,
466,135,620,774,885,000,435,023,094,686,785,718,704,719,888,202,510,761,987,
661,612,565,138,445,512,580,469,930,282,845,038,681,954,324,924,870,646,094,
404,372,780,884,667,384,922,575,077,331,642,339,417,180,545,650,637,546,588,
781,735,300,279,886,854,389,972,976,487,259,297,669,874,745,582,515,487,583,
999,678,239,797,921,175,336,761,191,081,137,414,613,858,005,161,655,404,183,
665,685,161,914,520,207,943,289,858,742,604,737,509,194,730,442,007,300,471,
888,443,710,228,481,443,521,264,036,029,456,733,425,500,172,314,172,382,375,
836,024,847,572,589,806,319,148,476,203,503,572,212,859,398,257,064,117,798,
178,669,949,236,082,238,660,075,423,862,871,775,022,863,665,995,163,954,549,
890,840,076,143,274,105,745,691,884,789,996,772,676,224,688,888,137,748,713,
546,819,310,114,603,903,213,420,820,322,980,304,418,824,129,238,950,715,912,
069,206,851,954,940,230,556,253,180,206,152,388,476,576,085,381,318,800,736,
444,516,137,602,337,317,389,548,904,764,668,394,958,189,711,368,111,223,292,
645,204,343,449,931,656,579,749,337,387,613,584,973,979,625,876,597,347,064,
411,682,724,353,018,368,919,028,961,591,936,098,785,808,368,992,049,340,529,
523,199,665,079,618,314,245,990,249,090,135,103,928,704,518,505,082,140,245,
796,397,403,025,920,918,673,039,955,831,612,560,021,700,056,302,153,884,364,
470,573,453,730,404,738,686,377,388,538,876,348,662,312,146,405,314,014,661,
287,510,001,170,325,589,909,708,005,234,942,738,461,873,336,797,525,448,991,
358,390,147,516,878,317,829,484,202,646,385,276,124,512,746,449,308,285,035,
626,740,251,738,918,843,003,803,647,009,757,185,233,256,617,212,105,165,173,
704,806,819,188,973,412,160,115,992,519,160,366,840,375,611,880,893,631,194,
075,057,119,036,672,147,707,518,973,188,201,054,736,859,677,606,865,298,500,
964,287,208,409,202,681,379,938,044,991,071,785,471,401,307,664,564,307,097,
009,083,312,712,983,693,994,173,280,643,223,155,032,194,313,881,458,812,465,
961,502,724,583,430,228,785,829,694,531,771,884,446,904,829,926,978,561,613,
035,995,898,549,009,011,106,602,343,062,634,982,702,655,811,868,133,815,608,
440,589,788,006,092,736,072,646,792,112,162,256,393,811,982,285,915,418,113,
972,102,788,419,025,441,946,232,494,356,874,150,018,816,406,196,781,228,315,
751,805,340,991,124,225,837,260,894,066,564,953,332,562,619,263,263,567,631,
545,885,632,410,647,500,167,279,395,908,298,848,916,543,495,538,868,770,607,
800,149,318,554,934,321,013,605,278,126,247,680,637,977,897,552,058,335,348,
694,672,214,797,141,290,255,174,889,160,572,868,907,998,980,367,937,161,804,
991,975,187,881,516,921,371,783,591,191,752,801,859,913,707,151,709,288,437,
433,739,275,316,380,281,176,040,815,772,209,299,462,153,757,880,402,668,587,
400,030,048,046,330,300,838,136,626,996,241,529,820,380,240,873,863,011,554,
957,177,659,373,198,414,083,729,361,502,767,509,234,801,648,354,603,365,441,
221,275,919,489,347,039,360,484,143,441,248,729,654,079,739,546,271,133,945,
338,971,214,607,536,529,703,499,325,673,896,729,039,780,776,667,276,908,924,
568,570,676,030,854,226,841,283,361,961,460,304,382,867,672,609,399,851,250,
328,770,180,379,197,106,868,628,663,329,794,807,420,308,595,439,923,429,531,
811,822,403,817,341,646,890,834,386,007,122,464,029,224,178,852,142,296,042,
680,272,003,921,804,238,495,092,282,791,513,053,275,800,729,603,942,683,907,
920,781,374,252,821,185,499,728,858,881,925,898,683,711,535,685,468,151,727,
600,604,913,666,965,070,499,277,098,347,328,021,142,437,212,785,628,232,052,
529,179,745,806,314,936,203,759,472,568,370,086,986,943,111,169,456,335,626,
640,594,382,782,863,770,436,227,202,503,561,665,305,671,788,751,956,562,456,
659,011,344,643,973,145,716,416,247,757,105,771,006,094,668,412,145,185,527,
774,345,725,755,746,071,108,824,607,024,092,535,323,944,738,942,954,693,381,
625,962,101,680,922,774,672,685,157,680,788,832,712,266,512,170,094,819,896,
192,845,321,211,665,262,484,588,865,788,911,426,246,569,897,864,119,858,061,
361,155,793,449,000,728,962,755,290,643,349,060,086,854,555,132,985,296,684,
423,692,873,840,173,719,709,758,484,974,706,612,807,109,467,987,605,642,603,
914,268,653,200,405,550,094,903,958,031,939,104,467,996,634,080,451,660,914,
151,272,729,051,294,400,177,801,599,360,243,810,080,491,212,334,170,846,808,
690,146,732,391,496,226,734,236,616,287,073,937,353,954,331,502,102,766,628,
265,396,354,011,870,408,436,104,050,782,585,268,302,342,209,648,513,822,671,
341,504,965,875,083,996,154,078,026,412,832,065,711,026,697,874,479,893,913,
626,696,722,878,206,834,736,770,315,849,025,427,843,636,593,312,677,309,575,
685,163,145,552,795,159,339,464,319,459,164,964,388,080,735,827,556,390,845,
310,377,079,348,576,621,368,123,007,762,214,426,033,406,983,660,779,760,136,
390,995,898,999,274,261,215,355,211,560,997,072,332,652,529,233,054,161,301,
896,609,836,846,143,156,838,569,708,836,707,040,918,089,848,010,098,961,580,
626,760,853,437,669,615,019,293,242,933,013,754,374,752,325,269,520,703,131,
503,474,954,246,154,798,413,579,172,097,371,585,473,082,790,486,820,352,885,
182,032,136,097,933,178,518,900,744,377,688,236,538,247,241,246,850,478,334,
521,249,079,580,112,417,590,341,900,848,816,915,275,678,828,093,327,167,850,
991,657,450,793,095,670,056,722,079,469,265,416,905,448,502,661,357,869,054,
369,469,328,755,221,864,248,791,542,139,459,622,463,474,106,321,360,882,359,
753,265,911,402,183,360,980,067,207,305,961,517,338,206,952,193,186,254,773,
400,114,043,858,238,931,615,071,007,218,497,929,867,365,703,506,510,934,736,
328,768,940,742,640,232,480,906,710,078,539,460,702,248,699,092,450,959,367,
361,569,178,398,848,286,673,297,070,095,977,674,774,826,397,958,782,557,663,
763,948,350,401,751,218,916,343,076,252,382,631,855,974,966,744,764,243,993,
793,468,040,805,583,231,262,723,490,491,929,469,962,305,635,336,339,177,408,
897,536,691,777,770,625,220,886,643,820,970,210,117,918,334,898,432,738,780,
260,695,348,709,036,460,172,311,924,471,528,976,394,408,698,636,949,937,039,
490,278,371,322,582,778,559,117,313,963,987,248,419,480,773,243,048,353,235,
885,422,110,891,415,098,055,579,483,399,168,807,861,502,278,498,768,296,590,
636,220,400,051,296,778,022,355,594,389,721,628,135,923,595,479,340,240,933,
335,086,473,434,776,066,373,306,798,801,366,857,191,973,702,395,718,724,869,
954,796,548,999,130,474,903,041,975,953,034,989,818,480,170,514,881,459,908,
503,391,573,782,140,811,718,493,727,110,407,902,557,673,125,077,544,264,774,
250,946,319,986,195,224,279,551,666,932,828,079,139,942,590,139,504,498,622,
555,040,503,516,861,174,662,903,872,962,495,372,290,917,980,412,737,954,434,
512,568,693,788,455,854,487,042,209,021,357,043,324,334,718,614,841,199,298,
689,554,221,952,694,290,738,862,063,588,998,095,602,164,742,015,783,131,910,
559,546,073,250,502,553,378,953,859,700,880,102,222,593,856,574,247,588,593,
028,160,446,177,334,733,857,199,074,312,553,207,182,474,241,256,422,502,271,
848,308,597,678,806,914,876,713,648,912,668,709,333,813,660,930,024,245,031,
985,893,493,466,895,977,347,701,923,191,205,499,035,781,351,890,857,287,538,
035,828,481,833,741,640,143,075,066,107,869,767,896,656,629,959,422,549,894,
365,314,273,513,624,279,959,407,627,111,349,312,582,451,425,752,609,555,068,
151,198,846,066,473,128,647,625,919,310,451,110,866,699,860,179,260,699,524,
094,222,960,051,428,130,707,472,097,691,601,689,538,884,691,829,282,997,231,
884,323,729,869,794,627,192,213,612,683,619,956,472,455,548,283,504,987,268,
562,613,295,846,778,153,555,783,057,663,763,510,904,203,761,463,903,941,706,
499,955,210,903,030,619,522,385,308,279,994,561,223,484,548,137,714,078,025,
932,226,859,772,119,495,730,217,225,087,945,575,116,032,277,600,171,016,348,
026,159,394,661,171,955,553,707,203,767,630,887,339,254,699,823,546,209,287,
289,514,081,894,799,610,827,067,251,249,378,914,680,205,404,986,350,026,847,
490,382,638,120,429,316,591,936,385,754,404,113,698,101,889,663,797,929,010,
434,043,318,180,535,038,979,214,140,007,269,704,374,144,089,256,208,695,057,
633,559,785,133,834,880,189,382,665,372,028,378,932,370,679,025,436,237,377,
971,170,778,775,656,155,565,779,850,563,565,322,587,322,272,315,144,876,745,
272,193,403,109,685,950,736,855,776,460,397,250,469,432,049,840,376,696,733,
853,835,395,643,020,888,702,412,858,724,901,209,126,118,708,487,666,569,962,
216,061,260,615,327,615,501,282,748,829,363,172,293,997,314,359,953,322,495,
292,986,552,156,225,749,894,106,107,835,276,825,771,591,794,665,804,674,895,
441,271,438,405,999,799,409,639,842,933,809,485,765,202,779,944,579,122,074,
596,254,546,435,788,959,811,625,422,067,012,004,114,430,504,451,300,897,110,
519,809,249,971,907,378,468,979,862,047,520,871,843,883,882,490,236,734,386,
731,383,360,009,049,836,490,109,393,710,364,765,189,067,758,699,994,839,203,
020,729,511,709,816,691,119,353,534,553,886,002,571,570,202,545,786,278,168,
313,269,719,210,410,753,374,102,741,309,686,777,214,297,949,370,326,661,965,
230,495,913,382,192,507,575,426,014,215,497,618,211,209,295,238,057,326,209,
847,840,762,286,076,444,674,741,727,040,695,680,225,056,381,840,072,668,312,
368,732,518,784,496,954,546,103,775,893,779,075,563,816,059,601,143,609,670,
850,870,667,464,672,012,503,640,479,580,413,132,288,125,657,646,398,521,612,
172,540,924,476,752,841,662,320,537,315,377,574,652,266,810,204,426,803,590,
968,145,599,249,211,286,849,914,432,540,661,291,241,268,204,642,200,583,725,
041,234,746,576,830,598,194,102,399,463,171,228,551,772,156,219,795,705,290,
738,376,776,731,574,748,957,977,161,092,106,338,776,188,527,851,145,959,720,
357,522,894,388,300,086,042,018,077,150,448,607,272,739,351,222,161,390,887,
435,418,896,268,830,143,408,865,496,246,767,172,508,152,926,929,823,450,209,
627,890,194,421,200,720,560,124,973,783,381,739,303,845,430,668,631,626,140,
943,888,078,801,306,607,742,129,380,271,444,617,263,046,078,239,486,767,035,
531,577,859,301,468,956,460,765,909,220,862,355,727,426,245,967,174,157,255,
677,879,278,304,976,213,637,551,123,185,676,575,456,233,809,551,996,491,451,
320,092,221,368,798,209,263,563,088,580,649,542,599,106,399,016,691,368,776,
812,142,888,305,417,190,366,287,337,242,682,656,965,079,668,942,261,519,417,
140,979,046,527,466,103,896,482,462,154,151,524,633,090,767,797,641,487,197,
891,311,339,195,257,469,450,286,978,918,843,664,454,760,005,527,952,567,786,
623,404,132,655,845,104,007,304,310,734,229,131,514,518,477,588,851,772,158,
328,476,722,604,698,805,027,045,894,499,155,560,052,615,683,746,655,228,662,
612,686,227,865,339,973,009,169,955,873,363,287,561,360,941,414,380,878,401,
000,445,261,638,320,396,987,758,885,126,279,064,370,355,134,107,513,510,129,
165,269,991,744,712,222,811,903,888,823,261,501,052,155,744,150,800,776,455,
920,387,659,779,603,848,876,761,101,803,463,605,247,164,005,537,111,520,964,
837,841,469,428,297,323,109,332,726,066,092,691,673,166,253,373,176,933,203,
354,649,218,536,236,875,208,823,336,235,837,271,622,857,227,559,577,060,756,
746,698,698,404,429,489,019,287,240,895,491,727,265,755,526,697,296,157,832,
811,000,964,144,405,144,775,780,812,074,215,874,453,794,624,492,921,158,143,
097,462,227,451,980,510,559,928,929,626,468,952,729,061,073,445,673,088,646,
897,602,511,392,594,769,024,150,439,388,370,573,791,769,872,223,383,088,258,
077,675,701,110,347,335,369,491,753,770,124,294,002,142,182,703,147,890,134,
049,833,172,744,139,539,813,028,584,986,394,653,624,149,491,680,370,496,756,
559,833,872,380,485,117,603,389,016,269,855,213,615,644,840,968,491,810,940,
784,130,584,105,657,117,319,833,939,415,017,824,652,768,910,890,775,550,774,
315,530,483,194,584,342,190,016,680,998,463,215,735,486,015,748,165,145,350,
482,902,229,584,338,662,635,340,781,833,408,869,605,692,757,222,606,454,704,
903,814,860,707,993,142,932,948,216,407,453,379,741,893,589,681,528,469,064,
687,699,018,001,064,584,001,914,645,891,863,124,087,651,803,481,935,471,839,
592,355,238,377,077,857,713,415,651,449,103,236,168,180,520,196,561,830,919,
246,691,677,078,908,807,058,834,699,066,330,256,642,475,607,037,833,218,449,
912,848,049,744,251,339,824,329,697,980,132,819,940,105,845,315,089,433,783,
064,926,817,114,062,010,705,276,473,407,733,135,749,854,562,101,694,412,117,
524,379,338,106,930,704,621,362,833,241,372,533,373,287,904,389,606,698,413,
372,785,181,774,951,578,358,715,736,097,783,691,999,157,005,929,408,025,161,
624,403,941,314,975,384,367,858,186,076,814,577,550,740,649,307,759,777,548,
745,899,774,479,572,174,772,433,636,647,188,115,907,131,454,909,986,351,247,
323,323,074,380,371,559,421,988,187,255,902,211,407,905,705,094,429,898,347,
879,043,129,009,197,117,454,586,205,490,052,072,990,676,246,379,075,502,925,
217,641,760,928,742,197,925,683,995,511,371,643,683,888,577,162,117,240,501,
208,163,238,010,109,273,904,097,043,943,900,531,531,994,919,962,258,199,511,
866,543,895,522,716,284,428,001,626,820,970,560,934,340,444,524,078,086,629,
304,716,730,338,062,451,671,191,709,385,127,045,274,628,613,770,422,848,020,
174,484,475,603,317,430,094,606,071,157,834,762,311,044,175,432,909,203,334,
680,093,717,829,255,195,726,531,393,503,915,074,032,711,056,408,350,678,313,
044,169,758,385,326,919,313,966,267,770,473,959,760,790,123,863,521,055,376,
385,200,260,391,715,582,739,159,111,056,029,128,081,480,588,526,224,146,517,
683,790,223,121,738,172,040,095,673,366,010,837,778,367,479,295,997,358,573,
323,261,989,833,425,476,110,394,358,396,636,301,444,741,292,247,499,465,042,
245,282,434,332,975,192,236,647,356,522,816,100,355,706,923,464,935,108,780,
033,168,600,951,398,614,647,857,360,015,855,414,583,058,024,516,294,171,691,
379,093,745,437,289,293,092,953,443,144,653,948,681,247,843,247,773,067,074,
405,562,442,495,957,985,501,831,578,811,623,829,973,037,848,542,231,019,168,
946,543,578,738,312,000,157,079,758,030,484,962,508,101,920,315,269,962,083,
343,283,234,329,172,695,764,616,875,316,132,254,650,825,999,479,260,314,139,
086,425,340,304,391,523,020,644,938,830,643,174,018,695,213,906,985,063,501,
490,851,535,697,945,276,687,628,053,179,818,129,403,053,147,928,122,570,410,
245,983,542,039,033,452,773,460,905,436,902,682,465,072,534,008,644,592,560,
390,703,612,279,409,764,748,349,725,075,115,342,643,980,466,207,721,804,095,
988,240,339,778,502,661,186,857,955,688,772,774,325,610,368,794,312,068,390,
456,024,793,818,706,260,782,058,137,698,642,151,862,963,411,628,202,434,851,
536,341,322,611,361,633,489,866,566,932,844,640,777,802,490,821,241,461,435,
389,455,853,607,592,686,500,933,198,802,783,484,243,193,911,202,442,720,412,
732,524,473,561,004,077,832,906,750,811,918,594,117,677,905,859,635,487,203,
176,684,291,559,127,681,506,162,637,179,331,385,783,859,382,547,616,135,092,
108,876,698,701,421,105,644,377,086,998,213,835,622,932,841,099,474,946,112,
214,718,571,018,656,397,669,303,478,456,120,695,884,513,141,046,590,817,404,
750,226,377,802,001,830,331,576,898,657,795,819,330,748,069,226,216,852,815,
026,255,431,204,122,696,017,201,433,940,589,201,202,382,471,654,628,048,029,
409,001,812,696,782,853,110,220,203,807,781,312,562,066,458,920,910,161,685,
445,323,824,116,618,590,225,636,892,737,834,674,146,620,528,043,416,535,712,
336,543,982,612,863,149,014,130,342,885,966,856,821,640,303,320,303,469,149,
520,585,190,306,861,870,914,371,195,448,174,291,544,956,778,488,203,240,468,
175,287,425,092,396,708,038,431,471,847,490,948,360,374,355,878,609,610,945,
512,211,358,850,036,589,220,264,851,322,297,384,819,334,280,698,814,288,738,
057,480,727,968,741,878,955,784,173,646,991,327,772,299,870,196,852,474,593,
127,754,699,561,471,363,071,416,166,073,345,932,115,210,217,870,825,970,594,
498,998,172,838,030,603,117,120,749,277,488,560,835,596,762,056,816,188,697,
422,344,035,157,812,678,176,907,825,474,286,477,670,258,272,055,365,978,685,
247,671,985,731,526,759,766,151,246,828,856,984,543,998,235,427,585,571,082,
462,838,765,049,663,950,012,495,154,633,171,515,300,920,606,743,399,110,225,
485,333,073,143,513,626,135,541,025,026,456,408,365,249,929,264,509,141,433,
509,859,083,831,792,325,677,790,538,497,329,581,963,788,272,820,405,970,289,
993,084,258,576,589,349,341,161,647,025,848,067,929,296,431,776,762,491,575,
780,378,471,260,590,033,100,702,375,613,011,069,918,292,752,227,170,005,935,
976,820,244,902,765,206,265,044,070,450,845,815,647,798,998,806,967,504,919,
312,566,777,034,067,128,076,986,293,074,283,149,931,158,616,464,145,732,091,
210,089,189,473,577,582,629,612,509,054,190,664,150,955,071,666,980,609,450,
180,071,198,847,007,924,566,066,624,488,697,991,440,219,031,249,879,618,517,
855,760,139,648,368,229,326,855,684,539,440,588,616,263,025,627,311,197,552,
722,122,090,220,389,599,436,376,599,665,356,394,004,171,235,603,029,980,722,
193,965,317,306,320,928,046,895,219,848,682,988,195,140,426,974,125,072,202,
930,221,568,347,962,502,736,700,224,753,020,224,530,303,766,807,484,416,728,
352,600,967,952,885,362,964,901,910,837,176,341,824,674,143,623,832,426,060,
779,003,690,987,312,271,687,060,088,158,056,872,370,773,522,508,739,961,955,
618,403,431,350,671,523,853,617,652,200,069,460,260,635,874,179,836,778,406,
275,583,623,920,740,484,417,745,601,672,802,253,318,823,940,717,515,843,674,
710,760,311,556,835,147,220,894,554,236,105,332,179,231,289,748,474,168,196,
854,178,909,999,316,046,407,075,819,017,450,066,532,495,172,061,008,856,735,
826,076,471,493,207,212,786,262,086,208,741,670,512,795,960,541,050,157,755,
720,454,671,524,972,795,007,373,021,175,419,238,629,160,135,685,805,145,936,
244,922,212,340,278,854,616,680,114,024,043,415,747,186,254,877,803,606,556,
803,553,267,079,852,684,531,759,169,131,474,508,887,224,846,820,733,679,352,
186,380,676,537,217,446,725,918,652,245,598,462,962,865,421,385,748,889,647,
819,259,515,578,552,565,079,333,850,183,969,227,068,571,697,433,212,469,395,
144,390,570,637,213,248,256,730,021,267,519,433,374,185,429,280,562,413,054,
166,166,377,859,299,474,205,321,063,203,927,722,330,917,650,913,922,359,386,
217,986,651,659,330,183,792,962,376,070,599,291,417,891,332,794,920,262,081,
909,412,303,407,419,343,933,744,366,146,405,590,760,474,834,390,722,340,021,
219,361,313,059,391,710,294,534,623,043,023,824,770,314,493,128,875,102,366,
945,288,023,932,368,678,276,236,203,125,333,300,820,997,188,307,561,458,337,
727,661,311,241,770,351,036,683,590,272,845,639,633,559,502,526,370,338,198,
316,553,280,077,905,466,075,181,625,125,554,838,823,757,621,971,114,931,599,
921,981,014,081,808,159,581,247,038,642,607,883,056,803,228,492,402,440,633,
764,772,902,404,579,339,499,422,491,643,603,704,462,641,321,426,688,057,507,
564,519,330,135,526,958,082,550,160,556,624,470,823,272,687,271,851,044,284,
556,626,261,722,643,424,422,541,962,404,308,794,273,367,178,047,223,217,774,
436,308,591,927,289,437,924,760,990,595,526,032,622,436,227,713,663,077,063,
171,579,583,717,304,765,266,842,225,391,425,797,561,115,485,666,781,249,783,
817,699,198,145,616,215,931,924,787,014,968,929,639,517,622,158,916,456,865,
622,357,431,022,893,515,156,167,542,521,084,243,605,554,356,567,546,198,174,
321,646,081,592,891,685,963,590,070,647,227,076,787,677,154,510,290,464,906,
196,063,205,790,589,602,471,796,390,865,934,126,950,424,508,490,297,472,136,
111,798,759,687,249,944,339,141,517,811,387,438,356,535,593,183,276,800,814,
788,507,266,630,286,042,526,143,768,015,258,682,416,303,178,996,389,247,376,
862,912,319,293,772,223,303,031,506,796,069,554,648,449,760,384,319,928,728,
346,714,694,872,364,181,564,382,411,072,831,069,613,420,980,385,414,168,144,
420,042,734,408,686,238,177,330,548,215,447,628,816,896,654,384,903,486,430,
613,503,535,231,810,107,635,463,288,062,776,835,986,756,168,590,009,227,809,
510,464,585,116,539,238,213,756,953,191,389,049,888,929,352,413,876,643,774,
766,660,144,712,912,259,359,816,495,766,485,753,310,183,304,869,661,719,322,
590,584,180,743,567,873,862,311,156,590,624,269,869,626,402,088,345,865,065,
233,052,486,733,822,115,927,083,706,461,817,503,283,019,688,261,467,699,025,
105,438,464,870,902,587,731,447,002,651,611,400,140,296,979,013,211,426,788,
682,267,023,558,898,926,566,545,274,675,268,898,739,858,405,020,527,651,395,
246,032,739,096,633,282,925,767,320,643,008,827,639,768,858,747,025,770,497,
063,411,838,141,628,998,583,159,666,681,897,696,632,222,234,921,020,983,757,
989,913,472,103,010,550,922,009,118,113,331,000,718,129,286,560,300,265,286,
170,573,826,862,355,670,430,265,417,637,108,266,757,356,386,147,895,712,063,
631,587,544,448,123,988,030,339,216,214,601,267,768,674,831,767,859,078,866,
168,590,796,831,355,001,875,079,640,850,739,087,730,363,952,901,295,689,269,
042,960,717,229,936,768,810,220,433,913,192,752,089,301,721,217,759,657,432,
370,965,983,826,419,966,088,908,443,622,716,275,869,716,315,325,759,603,330,
686,329,332,702,003,278,680,111,092,943,815,725,994,403,686,336,145,219,655,
386,590,529,585,922,616,143,451,488,217,372,365,385,742,401,957,416,475,006,
459,923,184,953,559,298,399,103,804,243,267,839,546,100,862,762,010,937,583,
093,309,904,010,693,448,224,471,203,942,828,496,382,257,361,197,271,851,503,
912,457,634,962,385,592,443,818,942,709,795,891,341,181,262,810,827,641,164,
138,856,837,246,341,599,768,487,748,157,620,224,383,257,419,277,889,524,610,
373,989,938,063,623,664,501,471,291,669,972,730,370,648,464,750,753,643,495,
282,929,490,442,145,229,459,358,432,298,340,696,956,304,501,956,528,021,225,
150,386,996,362,777,673,240,228,933,088,699,860,301,638,522,944,029,634,273,
707,752,387,587,151,239,411,532,741,700,771,896,215,588,812,260,563,255,781,
524,831,294,282,128,816,006,149,495,546,090,938,488,151,647,802,578,721,672,
282,228,844,127,043,744,130,092,082,810,754,702,230,840,254,477,307,612,386,
739,389,473,228,506,078,437,616,461,493,406,674,134,820,644,429,513,518,688,
146,471,548,160,818,219,826,963,486,839,667,779,365,010,778,767,786,176,666,
097,042,631,744,980,797,866,054,752,178,245,913,947,337,538,943,490,049,662,
613,491,114,690,926,220,721,816,894,053,385,581,871,959,934,953,125,398,465,
562,899,080,245,847,116,727,301,757,024,564,531,789,500,387,424,243,571,745,
381,651,346,897,118,407,285,646,916,724,685,524,320,965,276,794,951,668,782,
552,088,795,231,291,169,194,501,754,950,938,363,390,020,557,797,711,958,219,
520,162,504,921,310,613,085,106,204,615,740,642,854,993,303,843,300,443,668,
253,947,344,751,123,741,726,972,541,720,175,669,498,778,794,218,579,992,510,
214,041,848,882,254,748,735,101,809,042,286,402,554,211,172,114,649,099,788,
981,734,865,558,613,599,857,758,088,023,267,710,076,223,272,653,635,788,464,
228,868,647,212,480,026,508,495,876,884,260,054,887,780,234,118,571,849,150,
409,344,780,972,124,350,043,986,883,101,531,801,858,349,712,281,276,283,705,
159,954,667,504,184,415,179,268,018,349,192,425,154,991,826,268,352,139,203,
680,672,328,978,447,783,821,520,815,110,218,461,765,123,945,475,912,703,222,
326,321,737,902,758,385,115,487,995,802,349,820,976,211,030,171,692,635,651,
695,345,653,103,848,720,997,305,974,001,541,578,662,889,416,355,073,017,134,
598,993,881,937,397,151,000,397,705,803,598,176,529,611,686,704,982,895,512,
899,362,972,579,438,123,007,473,014,662,687,788,969,362,452,228,127,844,070,
910,702,712,791,404,270,716,354,200,082,962,011,398,023,290,055,045,036,962,
068,162,488,939,373,253,476,557,737,555,649,312,634,337,185,495,847,042,647,
095,780,689,476,546,259,481,608,146,487,462,435,624,892,086,410,371,945,960,
213,878,615,806,156,208,917,045,479,245,328,960,882,756,125,507,149,360,241,
447,092,548,892,360,071,622,397,545,867,778,440,735,768,027,138,618,632,206,
045,477,070,090,215,061,135,335,164,263,875,720,387,230,692,930,986,128,770,
303,118,985,626,366,389,596,691,834,903,808,912,888,432,036,512,021,555,332,
150,590,351,079,113,947,574,836,429,955,561,715,973,953,055,100,031,680,318,
410,362,136,834,940,423,517,271,451,050,741,526,729,135,600,477,039,316,724,
901,185,544,069,534,536,449,152,860,018,333,681,363,765,095,681,974,916,486,
571,277,108,898,074,283,162,843,677,845,167,614,786,146,214,571,736,952,836,
716,327,881,787,581,972,079,083,502,638,374,608,418,829,946,737,685,775,698,
270,958,058,165,136,765,411,832,464,004,695,600,316,315,633,870,435,441,901,
896,978,347,144,946,171,518,504,027,124,207,537,341,477,706,778,411,376,591,
891,563,927,797,510,557,104,713,383,269,694,201,082,431,223,294,585,815,951,
999,186,318,507,719,835,437,277,241,126,354,475,141,331,270,327,130,848,535,
842,370,160,732,595,069,608,950,008,089,357,422,007,583,353,552,559,019,561,
898,470,391,833,798,188,329,584,668,945,486,764,411,780,680,543,505,540,054,
986,704,357,066,576,337,747,371,463,737,849,263,027,208,179,616,917,626,919,
440,250,155,022,664,877,910,451,091,524,941,945,154,357,239,250,349,571,359,
098,063,442,162,303,230,166,902,088,361,016,759,552,138,836,092,675,843,948,
162,817,984,869,123,640,141,548,373,937,000,736,442,005,933,167,331,805,390,
603,523,282,810,761,409,255,567,987,720,352,924,656,244,842,666,005,410,094,
957,948,532,857,205,592,673,074,552,174,769,839,297,632,380,256,119,147,278,
125,727,781,241,647,561,079,346,370,593,692,976,332,610,248,663,237,686,856,
396,080,546,571,129,765,065,823,403,633,315,889,471,535,316,359,951,935,457,
958,856,346,618,479,938,188,200,670,628,956,771,665,162,444,060,566,137,578,
245,707,860,909,489,099,748,950,160,641,516,484,028,809,913,985,963,712,009,
035,655,882,842,522,380,167,827,169,788,610,087,104,382,279,987,950,979,633,
134,425,440,365,174,886,566,861,030,019,877,347,618,968,657,938,654,712,800,
914,029,203,412,654,187,870,566,420,859,738,664,533,285,011,295,510,031,597,
334,810,619,519,808,420,719,599,621,104,638,034,317,706,818,779,484,234,566,
910,715,415,128,011,690,001,692,972,325,839,697,814,835,687,989,643,460,516,
981,425,547,082,707,318,228,253,279,857,151,768,309,499,695,560,813,085,408,
700,591,763,473,153,325,946,267,815,038,201,365,351,215,052,636,490,036,362,
483,760,913,851,240,933,953,575,417,573,841,214,188,141,529,304,898,043,971,
496,493,082,024,710,434,079,915,609,116,280,105,388,809,114,751,221,028,882,
089,003,591,771,556,328,877,168,288,075,814,283,524,975,472,945,430,190,886,
349,427,304,771,650,865,821,839,004,804,661,138,996,828,806,822,817,401,055,
103,993,093,070,840,367,936,342,795,240,566,183,346,235,344,445,451,225,974,
946,536,755,222,018,775,243,611,609,290,408,573,997,341,199,006,194,784,043,
567,193,117,099,722,157,761,770,858,542,031,977,088,060,154,682,178,525,891,
285,724,213,670,391,813,406,184,746,667,113,369,429,259,548,384,655,245,977,
864,317,926,637,192,016,260,633,363,114,006,554,593,797,463,740,504,300,718,
814,086,906,403,099,460,252,683,152,261,889,112,713,274,513,958,826,212,093,
302,911,458,066,922,113,756,424,706,767,457,718,361,931,622,038,714,136,926,
812,473,607,755,400,603,156,392,133,813,359,315,608,322,317,441,515,410,643,
019,420,541,343,927,893,791,745,612,613,029,451,790,750,980,615,612,155,396,
074,266,522,399,371,393,255,204,889,309,314,713,156,606,584,741,507,835,449,
259,722,527,667,318,449,463,894,930,078,119,300,387,486,311,870,495,777,404,
064,413,373,277,357,744,328,369,466,830,985,582,739,621,101,967,557,025,888,
261,550,373,583,683,559,125,065,537,106,264,456,386,292,376,631,264,392,302,
042,048,855,308,579,467,530,286,035,078,262,162,601,851,210,717,423,381,848,
833,448,887,300,323,153,485,464,024,792,332,768,961,474,892,208,041,128,694,
698,733,692,181,908,920,681,803,917,233,171,826,094,885,115,377,599,278,827,
695,351,278,165,346,004,838,558,899,609,289,762,821,779,324,896,357,547,837,
393,972,467,011,113,311,576,189,076,019,679,570,526,532,966,495,628,156,035,
452,540,539,706,074,793,359,521,405,271,174,739,405,798,539,125,911,167,211,
788,156,784,709,991,447,861,925,740,481,688,151,330,372,004,877,813,827,643,
091,423,629,222,430,205,829,402,849,977,052,895,017,391,568,582,290,753,797,
507,254,134,224,986,146,071,192,714,257,680,753,576,701,481,853,248,239,301,
614,414,675,235,019,533,937,840,381,861,147,758,631,381,686,141,516,987,090,
347,758,820,172,981,299,616,276,368,567,764,855,790,642,086,624,075,678,912,
997,274,786,292,836,153,150,598,350,709,012,827,946,196,763,594,664,618,476,
915,127,033,215,608,442,266,228,405,155,295,821,511,116,344,088,079,740,948,
961,260,799,853,457,787,427,543,131,757,051,398,250,703,094,440,577,427,973,
256,265,028,885,712,628,635,456,240,302,237,417,476,992,321,448,535,741,988,
626,456,265,282,837,942,905,332,949,944,164,031,830,692,120,421,735,077,204,
992,527,244,454,031,575,717,941,784,054,969,794,436,302,371,603,040,098,450,
357,554,285,319,676,503,371,334,207,288,163,655,256,869,882,511,250,703,536,
297,598,710,530,717,763,410,544,048,429,533,470,349,371,400,058,437,189,149,
730,642,656,946,732,296,011,658,642,629,828,343,756,921,992,030,886,158,003,
312,114,516,010,696,882,115,627,204,479,055,777,014,749,790,384,528,350,848,
959,276,824,301,374,171,392,804,133,369,725,461,546,318,364,775,545,494,924,
364,354,456,118,462,684,084,595,811,925,578,970,720,888,832,097,369,055,608,
295,655,286,289,891,848,225,627,966,216,400,233,375,321,159,679,712,210,926,
624,232,827,190,860,767,827,668,890,793,205,637,250,565,835,659,142,590,252,
954,129,457,074,911,777,798,117,920,886,085,106,044,406,844,508,570,626,464,
852,514,151,068,852,776,370,002,687,554,700,868,665,032,767,802,353,995,561,
521,230,503,654,259,885,964,578,968,427,225,821,695,107,679,021,944,146,855,
016,929,303,120,083,851,786,866,818,771,457,443,332,146,058,250,546,827,308,
520,429,964,018,412,233,535,674,838,771,131,767,181,397,287,043,859,551,814,
293,538,906,833,818,292,122,990,262,773,425,784,623,377,804,388,940,723,179,
682,576,844,850,158,021,643,629,135,334,314,587,403,174,005,060,725,662,631,
529,703,614,229,939,907,265,528,766,531,596,531,925,124,830,003,993,434,199,
293,337,858,941,456,218,029,430,687,620,547,478,798,368,793,627,424,290,452,
619,564,889,911,791,576,628,317,526,537,695,763,720,414,797,639,490,918,356,
946,020,981,687,222,140,469,962,025,616,550,420,847,680,531,044,409,606,269,
257,716,262,799,879,769,265,185,030,641,468,910,625,229,717,545,801,415,186,
795,928,193,871,714,741,041,706,560,186,562,261,006,937,331,149,682,412,355,
050,616,242,412,000,064,661,866,169,518,302,524,535,497,350,413,024,574,859,
285,141,308,182,855,334,846,002,076,582,760,345,723,086,770,809,444,534,136,
154,755,681,674,306,104,742,540,076,665,782,042,754,989,025,409,442,405,576,
182,600,152,935,941,595,875,370,929,460,583,658,573,634,417,815,745,283,281,
606,831,091,258,491,415,500,680,694,142,287,464,523,649,418,257,895,263,428,
490,154,218,071,634,388,705,719,125,571,042,883,570,553,761,060,484,235,388,
943,068,243,187,963,509,983,412,808,645,258,552,418,134,326,568,784,146,950,
882,834,063,149,672,363,939,272,039,910,863,246,296,765,551,419,288,929,408,
240,312,627,975,123,237,014,155,956,753,995,455,038,404,238,093,283,109,048,
675,770,907,109,993,691,941,315,961,141,239,049,838,111,488,307,372,258,583,
264,912,065,447,368,056,743,244,103,114,018,692,742,125,297,860,308,281,260,
512,394,556,845,138,157,658,015,104,987,086,003,051,111,390,022,018,303,166,
175,057,085,356,675,980,347,512,043,097,869,376,712,939,118,764,732,685,386,
316,114,122,879,088,559,836,326,750,894,246,384,650,455,995,515,470,499,996,
502,290,740,134,185,965,944,986,243,399,882,677,929,977,849,722,004,664,500,
733,839,183,182,817,582,479,915,717,501,045,049,615,466,277,359,721,034,767,
237,108,878,497,479,115,863,177,728,975,096,660,619,426,657,306,435,086,628,
225,742,703,283,009,337,178,522,019,630,680,492,718,018,981,983,621,475,013,
966,434,528,140,038,026,061,699,795,856,954,901,962,354,603,953,627,313,515,
880,540,580,642,091,109,254,847,957,014,128,972,939,143,301,041,590,809,155,
832,704,807,330,987,724,716,446,449,308,414,233,540,522,042,486,736,355,856,
086,510,669,792,492,490,302,703,330,082,815,951,711,554,048,994,591,022,833,
999,809,262,841,517,053,999,925,579,130,282,757,382,978,482,777,542,496,880,
103,775,041,882,854,554,952,047,289,280,425,163,276,408,402,780,532,608,838,
892,130,509,967,485,242,296,525,105,678,067,375,865,900,181,661,141,033,828,
858,286,572,757,863,575,944,834,417,879,808,184,376,309,262,966,873,581,134,
654,673,204,692,231,946,925,609,683,254,593,554,244,275,808,465,167,658,693,
896,744,989,822,632,423,198,512,272,602,795,805,346,123,957,448,839,020,928,
874,229,643,796,693,545,531,183,918,293,425,168,670,433,884,439,773,190,058,
226,501,094,872,901,275,263,584,762,898,913,492,934,399,242,540,108,143,735,
262,832,168,086,251,886,174,698,623,840,482,894,025,696,951,979,247,098,283,
813,132,440,573,197,941,651,960,200,556,443,832,213,102,126,100,177,840,730,
950,144,629,737,276,632,705,807,123,196,498,919,036,437,594,722,261,110,131,
984,532,917,028,004,737,447,783,618,412,989,015,366,820,738,996,100,161,726,
953,811,270,095,674,306,360,578,862,776,658,919,802,912,104,814,143,468,360,
074,399,770,259,741,026,121,401,125,560,844,722,446,137,616,408,145,837,134,
469,354,109,882,735,418,051,383,938,523,513,123,708,420,693,940,560,879,995,
840,190,309,323,422,147,385,258,190,525,004,323,221,052,728,415,760,272,496,
225,568,288,749,798,659,790,663,372,002,615,072,348,836,060,980,433,595,333,
838,701,066,690,552,559,158,441,320,366,054,982,552,132,931,946,960,102,400,
433,821,196,295,049,377,679,101,989,991,203,113,860,514,339,960,711,035,329,
167,621,083,411,538,408,994,477,006,285,865,219,703,876,349,942,136,833,162,
651,155,273,347,604,808,742,676,386,129,910,284,311,237,724,995,762,453,922,
884,816,562,772,302,683,782,864,426,506,182,335,793,155,559,271,960,349,685,
208,546,677,518,506,386,214,731,473,761,145,437,018,135,326,657,770,619,622,
864,858,195,552,411,302,661,359,104,474,271,170,673,616,822,271,939,466,989,
975,416,698,620,928,823,766,121,294,582,920,288,878,743,396,457,907,405,055,
095,313,136,450,491,379,049,506,363,336,963,781,944,193,268,572,537,330,084,
929,234,230,985,082,787,169,277,016,774,860,376,179,875,445,657,056,165,726,
131,571,668,197,118,626,227,983,088,535,283,848,114,327,938,469,325,372,665,
318,501,973,931,379,284,666,130,712,585,604,940,766,193,506,536,838,193,048,
570,502,811,938,895,768,227,197,578,666,879,716,002,141,338,659,999,285,701,
856,725,541,771,083,836,641,865,074,239,511,785,225,585,669,199,289,203,603,
166,101,752,723,652,465,474,663,643,713,996,915,702,750,921,324,721,577,761,
572,475,879,924,732,740,232,536,921,091,186,447,584,153,264,365,095,688,698,
722,176,402,829,773,621,149,231,100,238,161,416,205,825,041,725,767,897,841,
028,021,864,248,506,230,570,904,356,039,520,063,706,407,341,438,929,547,827,
566,186,997,061,377,803,600,831,160,717,784,753,713,898,836,878,551,500,306,
990,946,614,042,655,713,246,706,438,802,099,272,319,920,859,184,606,999,908,
657,693,868,780,568,928,641,147,764,370,933,441,249,566,682,989,580,839,394,
501,569,888,679,963,039,979,859,248,953,806,726,868,226,135,789,376,823,388,
992,014,102,301,604,569,851,914,925,240,064,251,914,665,945,217,853,129,902,
004,383,521,766,232,167,565,077,271,264,318,912,955,760,120,461,781,863,243,
836,709,949,638,467,074,845,728,557,083,026,191,383,878,947,655,965,816,255,
562,621,397,101,329,615,046,560,714,193,147,357,066,394,562,154,600,901,951,
504,214,841,157,024,646,394,505,347,755,684,170,904,063,541,259,803,567,877,
713,414,253,617,022,422,833,035,600,026,330,540,737,722,584,207,214,988,387,
874,123,676,587,969,550,122,948,089,240,346,053,694,976,779,785,343,567,192,
050,922,413,645,481,197,235,802,260,343,260,769,110,263,149,204,399,806,679,
253,819,420,229,224,218,344,432,463,851,133,470,263,584,714,641,446,578,530,
959,342,617,395,437,461,506,519,886,349,138,058,577,501,817,235,058,293,762,
536,658,970,493,164,372,206,160,335,915,391,151,677,601,742,933,972,620,739,
013,547,665,530,547,008,875,756,733,978,932,708,196,732,034,846,447,351,865,
232,683,467,228,171,051,961,029,293,111,290,665,674,196,683,888,188,349,057,
117,655,387,545,582,806,810,943,995,225,822,777,480,382,918,648,676,330,255,
183,155,849,343,338,360,442,931,742,217,590,805,057,870,657,363,329,676,705,
962,912,715,517,318,230,769,430,112,295,652,172,830,453,449,493,099,762,619,
197,941,234,236,395,295,194,380,112,912,334,222,849,419,122,233,759,884,704,
644,019,826,462,947,489,651,637,025,350,685,825,029,794,729,016,337,026,841,
375,682,526,190,789,057,016,061,949,305,482,019,319,335,151,983,730,718,915,
617,391,399,334,176,532,061,636,534,549,770,222,095,595,800,058,730,469,136,
464,357,937,788,384,214,896,198,554,230,406,239,258,150,047,742,287,626,132,
145,581,293,305,436,147,934,152,759,654,628,100,887,512,936,172,193,323,179,
706,298,684,216,474,498,207,149,838,419,295,167,423,602,666,857,429,511,174,
519,809,402,614,728,741,881,816,029,126,752,240,463,084,661,772,649,092,734,
322,012,593,578,888,830,732,919,809,718,991,730,013,402,246,995,758,296,550,
860,338,305,510,843,907,179,221,922,631,325,427,230,018,658,766,262,212,305,
452,776,267,475,391,169,093,889,378,503,944,140,811,482,658,202,471,952,754,
222,598,520,752,000,477,716,442,540,583,934,696,180,830,394,996,551,188,828,
349,542,318,566,477,143,718,184,078,216,754,917,315,998,242,068,071,020,314,
109,007,353,777,323,621,958,748,848,920,615,477,342,582,083,992,167,531,707,
763,385,591,050,008,730,228,984,342,741,816,534,107,958,387,616,287,580,954,
789,048,493,436,766,421,094,473,177,163,977,285,344,798,781,489,858,565,337,
075,724,262,135,885,775,097,287,032,861,074,897,353,342,511,408,644,726,531,
190,335,682,580,896,265,725,937,429,317,972,957,230,422,181,740,168,814,652,
316,677,029,250,168,603,835,015,338,204,749,116,296,059,281,303,616,699,930,
219,444,487,866,612,454,431,047,962,584,858,056,007,923,314,266,558,395,648,
268,318,969,113,890,533,393,402,826,636,239,217,242,714,687,070,617,591,388,
900,488,816,750,457,903,372,876,972,291,844,033,536,958,451,654,356,509,151,
933,431,927,831,829,746,110,317,562,225,763,788,619,859,766,555,239,714,696,
851,368,336,635,174,712,267,247,565,692,491,991,993,421,612,995,750,281,636,
797,714,756,098,816,831,117,723,751,325,931,474,748,077,715,151,503,809,755,
393,820,823,448,613,019,550,550,901,951,567,966,354,528,014,112,935,097,240,
495,506,103,884,781,369,480,368,379,034,157,944,678,366,120,027,209,028,452,
571,405,813,961,504,788,902,661,519,218,590,293,624,576,619,724,219,859,614,
531,092,484,398,449,478,847,016,121,208,539,353,701,409,615,838,580,771,136,
200,072,272,977,394,366,618,023,060,789,674,915,396,988,695,940,479,233,185,
532,772,420,195,758,303,159,031,669,667,840,607,688,953,813,088,193,686,051,
937,942,723,418,677,487,591,365,390,614,227,188,963,493,614,343,340,633,862,
861,923,013,468,123,304,196,503,990,358,920,310,322,474,089,510,966,356,741,
313,000,398,365,821,053,444,998,239,854,107,206,365,182,958,598,421,836,039,
233,156,379,908,079,354,179,194,158,394,710,851,562,109,702,294,075,982,477,
246,665,330,963,516,236,728,688,704,616,105,117,346,325,498,638,708,959,324,
880,094,384,480,351,642,816,595,352,852,837,813,438,055,881,949,886,424,900,
289,881,707,787,638,965,319,645,259,017,373,737,491,200,012,526,748,451,430,
212,566,599,461,558,181,827,746,770,701,040,162,644,545,738,733,123,568,586,
627,648,994,035,262,699,500,655,285,529,913,689,056,459,692,350,693,317,725,
901,757,729,908,353,322,364,130,626,437,639,705,513,236,405,221,625,650,176,
224,962,942,157,557,524,956,327,135,582,807,838,509,591,024,533,488,435,007,
654,389,590,526,741,434,826,270,153,163,837,511,649,765,378,861,394,982,972,
545,380,113,835,601,057,533,246,132,080,839,490,146,853,886,028,050,011,283,
230,586,626,641,266,427,127,933,896,630,795,097,332,525,278,002,919,817,400,
327,130,516,687,363,311,690,320,430,630,770,648,906,201,664,047,320,803,384,
329,703,760,271,224,701,650,126,500,127,798,035,859,856,478,322,589,071,044,
439,989,788,911,640,878,599,192,937,742,633,483,782,733,008,286,272,622,798,
485,878,834,837,694,474,666,359,006,288,691,504,541,750,575,352,474,226,728,
883,513,141,489,496,649,180,331,497,393,385,542,708,574,064,298,173,180,074,
333,208,459,347,911,189,464,503,940,953,309,018,215,704,824,980,106,190,005,
785,712,129,997,344,607,630,479,405,710,178,721,662,447,755,667,731,785,906,
349,607,103,341,600,505,990,414,714,925,330,377,779,270,219,144,504,279,663,
438,163,387,049,857,905,575,827,196,001,465,706,130,143,517,467,846,500,029,
596,660,506,315,391,122,041,249,471,691,110,709,488,769,208,537,232,076,156,
170,892,912,444,612,171,617,014,434,136,976,161,570,954,334,323,235,744,360,
086,139,866,036,181,376,254,614,641,411,566,746,944,879,536,779,506,806,554,
225,226,497,960,179,317,760,458,592,876,150,360,836,717,521,463,243,472,804,
572,135,544,353,074,002,618,123,136,369,098,546,344,952,486,249,383,640,046,
641,416,272,418,046,924,513,751,814,149,302,678,611,513,776,477,822,179,430,
206,347,705,953,681,357,348,412,050,827,686,017,164,547,533,048,533,137,423,
749,722,345,351,521,404,683,159,908,294,869,763,922,531,121,513,309,644,235,
145,016,941,306,574,136,160,425,063,717,304,656,189,142,625,883,561,085,490,
412,652,793,831,134,212,563,337,617,641,068,293,650,599,235,046,552,483,031,
014,912,582,805,554,432,573,505,748,848,645,219,101,210,920,373,597,839,792,
425,119,028,103,022,956,955,686,978,646,900,661,282,990,529,488,166,636,978,
568,735,026,774,096,514,381,378,417,637,980,380,750,771,161,042,135,790,212,
202,501,029,302,788,492,704,064,881,787,812,861,844,479,254,949,582,305,626,
387,484,482,335,447,411,941,423,046,292,074,522,710,461,938,345,735,719,372,
977,564,970,616,776,263,356,888,702,534,930,417,732,041,948,797,258,312,435,
138,855,735,356,448,036,029,618,878,546,393,306,449,898,455,951,938,612,975,
543,925,649,188,096,089,344,586,161,210,289,777,764,506,456,260,531,968,531,
721,358,942,670,330,030,563,670,702,518,839,240,406,997,223,294,206,547,829,
032,918,356,905,017,760,546,504,112,575,627,694,872,902,110,590,905,289,918,
862,495,309,968,472,818,518,173,067,096,454,685,808,189,961,590,888,047,057,
561,794,887,841,412,374,431,881,829,628,140,469,095,107,081,367,903,814,544,
561,933,527,580,627,942,935,868,219,207,865,758,682,929,183,666,935,496,481,
093,279,858,957,242,924,103,628,621,099,088,091,430,013,192,595,880,146,568,
648,882,503,883,192,312,545,950,535,310,496,325,774,637,926,647,841,657,623,
630,939,315,048,300,711,653,880,219,572,704,410,555,239,888,545,267,414,509,
527,393,820,013,368,540,299,666,728,464,142,973,788,809,322,796,139,659,352,
075,902,075,418,561,570,770,922,367,102,013,698,864,684,171,875,630,937,032,
008,801,604,409,921,144,263,512,519,599,050,355,183,237,620,939,113,633,988,
614,606,259,187,062,951,422,085,595,132,303,131,503,119,343,577,964,147,460,
777,399,351,194,872,224,583,283,541,894,043,248,668,114,902,606,330,376,958,
190,824,345,605,387,463,990,789,760,408,325,721,070,157,739,140,930,447,557,
990,094,560,107,689,984,635,546,613,948,599,825,442,177,818,762,768,449,649,
889,792,644,159,308,587,543,215,121,476,231,336,684,772,734,357,326,334,190,
437,737,103,644,530,782,348,700,937,641,501,825,181,742,770,389,088,734,892,
607,371,685,188,367,806,735,989,535,753,417,290,383,973,212,833,069,838,089,
583,125,987,271,818,219,826,877,381,822,576,033,485,494,230,328,491,903,110,
925,774,325,433,498,722,612,046,433,315,020,309,077,927,412,978,835,933,719,
335,773,991,005,096,099,437,249,981,157,650,843,544,612,621,786,218,452,719,
205,248,037,222,967,999,340,492,754,174,930,916,679,607,623,572,241,762,160,
115,976,783,079,332,447,768,415,149,822,294,758,191,327,418,134,209,013,014,
426,097,166,526,796,796,837,728,180,332,674,762,099,524,894,949,271,627,959,
756,247,723,035,113,765,384,323,747,766,442,737,678,658,896,984,772,605,447,
034,872,295,854,187,891,360,484,340,588,774,289,405,407,618,409,964,590,427,
045,217,276,848,297,096,814,927,394,885,948,088,561,908,299,289,726,676,544,
848,162,808,137,524,250,018,028,729,155,257,141,680,561,984,058,016,608,818,
870,302,577,339,093,073,547,989,524,473,983,102,937,613,582,685,361,233,946,
992,372,633,692,588,020,424,125,653,446,625,385,064,277,453,857,830,671,379,
100,528,916,115,086,773,648,318,662,487,892,552,791,608,016,813,302,490,765,
999,422,189,463,327,030,016,427,978,004,887,676,950,699,408,644,663,975,716,
331,779,447,097,956,397,058,323,780,597,076,222,004,489,329,136,402,058,843,
746,138,772,393,312,845,149,041,031,647,912,179,871,819,352,531,149,440,466,
549,410,769,639,625,797,915,434,159,181,755,621,182,445,813,435,290,138,109,
295,792,298,520,166,808,941,811,999,675,046,005,221,876,768,234,134,327,125,
907,249,944,449,403,975,597,659,210,696,842,773,528,559,898,653,127,592,760,
685,974,412,924,540,474,063,519,796,990,481,082,825,020,605,509,911,565,158,
114,463,147,014,275,213,719,298,829,155,327,416,871,025,640,887,849,297,318,
429,125,858,135,359,411,743,786,744,777,077,388,578,222,744,964,398,534,676,
849,215,162,600,922,284,856,819,059,470,990,630,918,093,529,548,668,997,728,
105,245,794,093,659,607,733,981,366,515,081,998,248,918,645,171,150,185,508,
038,890,239,260,603,411,204,256,893,766,212,258,086,181,481,544,995,263,116,
464,274,757,395,431,209,560,903,451,989,202,292,184,115,086,618,048,191,321,
149,024,289,768,006,457,915,351,551,480,641,976,709,943,264,060,263,403,087,
907,856,498,345,314,931,563,055,491,562,712,682,601,699,182,286,863,471,739,
289,056,339,986,071,702,865,900,925,710,709,242,270,385,818,082,922,779,059,
387,695,529,419,393,995,135,243,579,546,519,351,913,571,744,034,921,587,923,
960,386,151,037,955,398,534,933,424,074,862,304,230,826,896,206,178,271,569,
284,617,044,419,061,119,668,657,015,624,620,733,637,630,329,696,370,820,557,
345,478,499,136,170,916,616,318,375,614,767,232,195,807,455,188,878,569,918,
091,310,522,653,379,054,681,538,428,143,657,377,166,444,748,232,021,039,798,
235,597,594,724,296,987,875,490,541,091,854,152,071,224,497,981,836,240,131,
626,952,504,330,084,734,359,238,840,144,525,426,016,532,406,246,232,137,279,
602,217,328,390,799,701,013,431,074,696,473,197,087,289,810,513,172,314,526,
355,962,314,267,790,882,564,995,250,497,786,968,934,537,386,510,493,585,552,
724,940,787,500,060,558,069,037,507,411,646,448,008,757,359,333,655,155,641,
457,223,809,814,876,530,594,942,349,267,075,951,249,730,978,835,256,476,161,
923,018,699,188,608,628,246,435,071,373,523,052,087,349,685,661,821,208,214,
382,566,870,936,341,481,019,627,474,818,635,649,069,276,827,383,300,359,619,
086,827,259,553,277,668,739,619,487,792,460,755,476,552,479,084,606,699,051,
158,919,614,337,981,859,556,655,160,207,477,305,939,788,227,126,388,314,086,
799,575,458,178,419,883,363,975,237,250,745,624,062,064,726,693,290,226,785,
572,616,341,901,877,688,499,854,195,773,910,504,749,828,967,984,803,313,326,
337,943,799,977,163,736,266,027,479,304,059,273,968,078,730,979,759,380,257,
718,804,767,548,242,377,579,016,872,156,764,942,052,819,066,345,151,831,914,
785,682,453,231,110,525,825,466,468,261,335,732,497,662,524,894,221,309,314,
701,338,437,736,077,885,897,093,412,726,087,257,268,123,292,918,352,935,069,
794,775,394,448,088,597,785,452,720,887,257,780,379,848,044,809,662,151,430,
462,884,341,675,502,339,570,785,425,495,290,980,058,312,329,896,664,072,994,
947,514,286,488,971,130,827,326,702,480,891,810,600,546,479,586,873,496,342,
881,060,136,584,180,362,001,597,204,623,768,770,885,012,114,297,221,783,925,
873,751,117,300,933,902,599,629,534,923,523,426,189,015,721,114,495,412,555,
832,830,480,761,113,813,425,749,577,437,682,412,573,997,411,763,291,175,347,
439,839,182,571,024,779,530,016,257,332,577,271,295,353,756,832,755,803,989,
663,807,350,556,695,970,679,655,863,735,094,775,951,585,070,145,526,663,035,
096,985,874,870,568,116,715,490,629,562,546,443,747,309,976,989,528,275,430,
328,443,522,475,449,753,868,782,616,786,652,709,679,314,558,915,295,048,573,
200,890,829,603,014,378,766,535,411,437,527,201,932,013,150,361,941,342,630,
155,045,622,208,591,010,427,760,300,617,520,917,142,629,820,964,783,028,503,
784,687,144,333,888,242,896,656,785,716,299,545,290,620,094,025,277,958,277,
340,814,953,819,980,629,385,948,924,979,963,096,708,710,875,302,968,798,959,
722,404,804,325,170,662,754,954,543,818,444,782,018,397,016,377,694,493,015,
827,201,793,187,896,064,738,721,284,005,437,571,397,381,692,577,264,096,900,
896,846,507,579,010,491,091,900,839,236,610,191,562,893,688,296,536,726,633,
362,049,852,877,969,300,967,899,401,732,374,466,157,063,886,001,036,634,937,
879,697,926,911,239,744,714,582,817,014,260,360,368,660,573,081,107,175,579,
372,469,256,040,440,302,322,471,855,551,132,916,442,994,870,557,176,726,366,
990,866,012,505,432,824,771,848,637,047,411,102,529,040,277,658,284,978,846,
822,875,444,179,555,847,673,417,840,206,948,685,170,426,905,216,356,121,540,
368,104,591,742,492,768,671,665,558,891,214,594,665,078,519,446,610,814,246,
043,743,829,799,646,673,188,297,227,853,797,627,576,757,816,698,704,176,992,
957,460,690,495,728,440,682,275,510,476,417,151,998,723,466,131,165,180,626,
660,805,093,042,897,142,109,493,151,558,049,360,107,413,258,253,381,880,031,
343,098,535,337,516,779,889,145,077,036,467,302,935,601,843,883,678,680,402,
009,042,932,484,948,740,059,286,111,705,948,473,558,426,828,387,890,735,799,
022,056,152,472,111,714,355,999,114,953,283,928,520,184,093,339,383,415,659,
758,099,148,015,959,406,305,015,825,466,576,237,733,493,712,051,929,165,376,
885,086,063,278,877,236,716,262,324,915,308,221,554,418,015,276,369,264,199,
996,948,298,293,759,154,873,371,685,003,961,726,837,458,243,769,722,845,628,
571,808,258,805,961,000,604,788,451,606,494,347,584,312,897,882,718,814,481,
205,713,954,742,345,431,492,445,166,468,758,417,383,025,538,986,176,784,559,
813,025,512,370,478,938,494,178,791,916,741,009,214,458,211,230,032,954,439,
937,216,456,187,284,878,923,556,037,160,262,393,203,622,017,867,115,358,341,
501,763,195,953,218,539,778,677,037,821,601,440,429,273,369,863,673,115,528,
973,022,431,718,774,812,610,888,297,648,695,192,415,659,767,808,966,874,986,
178,351,835,666,459,577,616,703,745,786,069,861,954,566,161,788,584,776,705,
171,657,603,603,185,552,680,999,927,243,602,228,763,954,596,734,157,668,910,
703,114,308,137,572,471,786,055,314,128,347,063,292,776,004,945,499,379,336,
444,009,387,286,333,668,940,152,720,845,028,649,112,086,354,455,093,601,141,
502,895,105,655,153,680,927,589,139,962,316,627,325,780,622,821,539,415,786,
362,718,319,892,075,677,022,884,086,871,803,002,000,281,475,739,819,321,046,
074,107,845,476,275,103,836,795,133,873,108,364,609,428,882,907,565,861,430,
779,660,997,040,524,577,294,872,419,605,397,762,909,075,901,955,344,685,648,
313,771,367,960,955,430,236,413,128,045,765,427,048,056,764,737,391,256,496,
471,921,454,466,414,146,003,685,586,594,475,368,274,692,245,560,525,519,496,
765,359,698,197,504,730,399,847,132,848,283,013,845,958,502,194,346,165,603,
806,396,844,162,671,046,670,761,544,782,771,653,789,240,619,078,590,239,030,
903,503,525,611,557,157,393,260,285,718,718,277,361,465,950,919,515,409,985,
871,468,418,767,410,233,963,225,847,484,508,398,490,113,339,172,586,898,104,
759,058,180,916,870,634,671,871,401,319,881,043,738,331,898,110,022,761,663,
898,560,577,142,417,189,801,558,801,742,720,263,521,604,011,445,009,233,754,
630,782,574,692,825,053,492,962,752,806,905,661,575,696,965,547,244,860,731,
965,555,790,024,352,799,806,645,669,494,080,153,942,979,549,179,087,276,752,
718,482,035,885,838,467,526,595,332,619,968,640,509,419,087,845,503,156,964,
706,310,472,303,571,960,040,856,068,020,302,760,508,398,796,786,304,328,096,
091,069,975,715,386,242,871,935,032,970,971,421,342,618,096,073,721,840,849,
090,194,641,492,992,257,682,051,150,091,193,921,023,123,334,664,432,535,706,
067,291,025,393,143,344,517,688,244,633,950,549,186,571,910,897,868,089,611,
762,733,212,354,262,621,970,101,895,048,244,525,540,213,873,777,999,644,293,
965,515,275,481,122,261,738,573,780,988,354,533,942,744,073,828,519,048,741,
196,235,201,492,400,218,239,378,505,373,368,371,962,750,497,480,800,174,550,
954,372,466,139,722,310,876,181,140,177,200,202,865,716,910,723,286,536,038,
392,833,947,336,520,691,781,609,563,043,518,250,448,259,664,141,968,464,451,
698,540,125,846,655,285,481,580,521,469,781,393,117,356,036,957,968,656,062,
990,866,021,558,269,259,796,494,348,982,243,106,019,372,944,050,808,397,383,
250,335,448,180,284,109,108,790,037,561,219,218,324,550,779,117,401,276,081,
454,037,026,051,857,115,292,519,074,130,511,047,130,302,306,082,890,434,846,
826,808,724,484,385,071,894,744,892,249,125,745,908,964,968,006,723,339,301,
917,125,904,524,959,775,895,653,846,805,885,922,315,481,069,272,431,777,773,
192,631,780,479,760,900,114,007,155,816,232,471,199,324,061,598,211,231,098,
444,238,002,912,349,742,777,865,754,676,399,764,989,825,887,683,554,979,239,
075,597,433,900,938,758,808,010,868,160,327,391,364,607,667,413,435,330,525,
334,823,964,680,168,730,736,814,291,192,571,455,798,478,857,215,854,940,999,
116,921,557,995,820,144,526,567,783,694,267,827,367,119,104,302,641,014,734,
627,099,672,118,739,781,896,491,099,246,637,137,777,835,626,003,479,154,380,
879,115,050,827,945,447,751,692,479,982,878,984,106,387,227,795,446,543,294,
300,115,557,152,054,555,093,605,678,399,436,260,279,023,945,324,795,520,212,
163,869,331,530,453,820,553,763,318,680,415,542,409,261,487,526,889,405,972,
434,334,412,177,927,076,538,900,979,232,421,970,954,216,365,247,072,868,607,
343,647,606,538,780,796,420,277,837,776,139,486,597,826,584,339,546,968,930,
684,358,939,787,246,069,094,478,935,766,589,445,551,179,487,195,010,462,510,
759,582,343,904,960,825,091,019,272,430,692,915,660,973,175,753,728,221,246,
121,324,057,323,699,943,806,858,994,221,878,563,860,857,526,307,322,948,257,
739,582,949,418,516,516,551,888,499,010,138,525,234,984,983,411,654,122,150,
396,103,271,496,291,601,245,636,044,353,308,542,674,129,199,789,794,086,255,
934,891,426,160,756,060,548,124,524,383,234,339,092,857,764,575,244,244,900,
027,264,256,393,839,477,600,347,785,983,091,130,462,323,188,741,865,269,785,
233,076,436,872,642,124,988,616,861,718,691,730,978,316,040,451,741,412,725,
667,353,936,054,669,511,966,040,727,245,984,652,943,093,874,420,783,174,342,
983,179,925,629,280,148,779,801,495,207,821,982,576,864,575,970,356,288,694,
758,684,403,799,528,122,756,723,516,662,495,088,784,919,847,041,645,667,313,
623,307,507,498,543,724,453,482,995,184,115,758,798,610,185,611,686,537,741,
992,753,751,336,809,573,219,799,101,103,182,682,728,354,723,955,924,071,639,
852,538,005,454,662,591,742,548,711,847,643,030,379,381,076,014,887,388,992,
917,585,114,639,817,889,514,592,071,777,112,141,992,489,791,345,306,043,179,
627,964,596,713,947,014,601,228,410,231,803,839,577,679,633,247,034,631,293,
540,295,283,860,915,036,793,533,211,223,850,133,040,652,687,182,536,785,136,
144,305,248,550,035,462,505,780,905,160,589,943,330,758,457,300,816,258,797,
048,412,225,916,008,532,819,016,235,038,934,920,365,155,764,052,475,761,043,
777,514,947,173,567,913,167,355,478,234,924,272,668,437,902,981,583,299,766,
745,079,143,064,307,614,098,065,997,991,763,431,729,720,512,041,971,681,251,
129,037,266,420,720,073,542,664,226,631,895,852,494,492,139,350,152,524,601,
859,899,618,348,852,129,996,842,967,346,430,458,208,222,829,976,360,999,205,
594,648,819,390,303,854,517,883,087,991,671,010,528,636,279,917,441,414,772,
668,531,290,245,401,888,837,676,909,991,935,258,993,216,553,412,914,580,450,
808,292,362,992,585,098,485,615,628,952,697,557,575,848,042,305,454,630,371,
553,801,658,991,165,529,977,171,210,449,940,303,828,303,788,878,519,664,322,
464,092,503,618,566,374,761,688,224,298,261,227,205,581,939,914,164,508,285,
487,047,150,814,730,311,453,004,515,434,750,261,075,337,531,912,710,625,048,
521,718,220,400,432,963,591,568,502,674,228,913,044,023,946,623,591,171,540,
614,902,209,484,379,506,663,264,556,428,684,864,479,188,195,582,687,314,492,
824,803,159,765,591,312,683,593,398,740,585,892,352,326,339,980,636,362,857,
383,815,015,194,591,847,735,045,974,168,849,493,929,159,425,387,765,567,736,
348,567,558,820,495,537,303,696,949,728,289,148,706,754,053,018,997,596,685,
613,118,569,714,111,305,473,390,599,954,490,714,935,653,421,266,363,702,100,
612,952,477,113,999,701,503,653,669,346,001,986,563,368,802,103,512,185,623,
005,709,526,840,820,850,868,792,777,891,305,076,821,820,787,395,162,735,910,
414,943,108,500,936,927,700,551,783,844,319,730,548,980,175,361,632,474,385,
780,113,078,455,588,450,058,040,347,579,601,077,748,737,617,681,290,357,114,
859,416,431,113,358,056,007,936,429,342,212,613,994,175,022,724,731,198,099,
859,279,316,438,978,957,744,291,821,489,942,161,524,636,979,811,390,505,364,
672,213,450,504,147,901,343,435,871,859,307,502,487,439,951,382,313,159,670,
640,952,658,325,405,186,908,743,688,626,653,184,942,439,742,172,662,623,132,
184,612,180,910,780,787,518,621,421,079,850,374,152,799,851,713,945,269,441,
811,038,873,123,331,347,755,811,680,086,708,568,136,589,351,118,154,063,000,
147,039,246,999,113,367,370,158,745,666,722,757,526,368,313,556,555,877,604,
186,955,991,882,943,285,763,061,692,765,420,537,719,137,000,058,539,088,212,
609,371,844,223,167,645,316,207,688,554,360,927,569,474,383,733,848,473,349,
427,976,551,636,758,033,920,306,342,693,204,091,225,218,947,357,801,764,236,
740,019,257,481,844,764,192,393,415,846,234,626,300,771,029,694,517,082,969,
671,530,836,308,030,456,678,568,003,112,308,942,081,869,263,213,144,130,867,
745,063,533,474,113,604,434,301,693,410,717,142,839,738,406,535,956,071,865,
033,745,580,032,769,285,433,323,954,875,975,267,363,491,558,314,128,073,849,
541,101,420,149,928,565,151,173,128,552,800,376,533,447,056,885,408,680,073,
871,419,835,468,689,031,866,855,674,052,691,134,820,936,395,152,857,952,026,
030,850,560,897,564,594,772,100,008,912,322,687,723,478,288,856,245,530,558,
429,853,574,755,606,763,819,403,984,356,188,484,232,386,113,358,885,863,344,
645,477,521,761,169,204,306,135,039,840,685,855,915,771,288,608,068,764,992,
412,177,335,867,417,984,879,319,896,364,857,206,109,638,956,347,969,425,852,
650,349,656,463,999,332,763,385,679,749,293,351,561,054,274,849,303,472,225,
028,041,155,243,168,039,441,320,230,745,452,801,025,231,812,429,882,220,754,
683,634,686,397,820,283,909,758,704,593,501,740,946,082,449,249,219,263,071,
091,199,281,529,548,223,902,322,454,594,179,140,052,168,960,317,700,576,449,
719,337,503,558,609,632,625,745,700,256,162,876,110,021,825,658,100,624,650,
919,273,471,342,402,517,515,271,722,264,087,046,621,439,231,283,722,657,735,
014,433,326,733,114,211,924,319,826,502,173,146,504,479,125,615,177,300,468,
517,669,538,364,803,733,805,194,944,784,762,127,693,815,147,449,147,469,260,
378,829,543,062,212,252,378,656,567,086,897,895,765,748,742,374,931,450,925,
020,824,179,264,084,965,372,559,219,668,014,787,501,965,817,909,266,067,426,
247,628,405,132,026,475,007,424,886,301,436,693,949,131,367,823,906,600,643,
169,617,024,264,299,735,628,322,932,379,451,307,819,008,617,488,817,444,350,
521,871,944,147,725,674,867,023,337,952,819,537,652,942,499,820,448,322,659,
818,991,602,978,412,844,932,920,246,805,463,674,015,816,896,784,594,509,071,
805,379,346,591,043,105,558,180,557,525,582,526,765,644,786,369,023,891,789,
372,959,415,333,042,529,587,003,927,328,258,280,343,890,158,984,092,505,467,
156,299,442,549,591,330,975,708,320,648,753,676,538,744,582,149,546,433,586,
633,966,039,517,732,420,144,493,028,164,059,796,356,987,857,556,135,138,808,
674,896,774,875,313,934,683,697,957,243,169,450,646,994,860,236,120,082,875,
023,447,518,950,340,233,878,963,643,432,110,819,658,448,908,403,915,860,708,
596,674,307,977,736,948,507,650,983,080,145,045,796,580,334,639,563,218,789,
647,649,157,061,244,636,864,052,675,997,584,061,643,046,834,968,423,599,517,
472,488,616,537,337,914,575,507,610,069,732,595,322,649,541,708,912,888,659,
813,913,979,680,312,438,189,665,506,007,264,206,127,360,440,471,651,882,909,
516,899,879,866,695,304,837,832,495,601,492,792,749,572,966,281,478,267,276,
047,699,482,353,975,370,364,754,093,610,410,158,403,232,619,650,287,603,849,
590,819,396,453,715,597,250,443,807,871,189,141,849,123,786,099,454,721,826,
558,655,616,059,292,512,577,642,684,136,857,480,896,489,490,177,898,144,117,
681,597,771,528,711,720,620,003,298,046,854,312,999,569,335,557,599,643,257,
645,298,007,814,901,600,834,250,314,295,506,507,233,531,069,827,083,777,040,
829,857,687,344,048,413,120,600,038,764,507,932,331,841,206,913,178,382,644,
244,028,344,714,775,314,645,272,269,025,207,711,020,853,219,756,448,440,199,
911,960,615,701,421,774,953,304,389,899,917,625,793,515,717,820,200,732,481,
362,057,953,899,995,256,596,742,819,313,846,178,026,003,644,755,842,086,740,
840,010,830,401,688,025,280,286,509,597,516,195,409,952,595,369,484,810,679,
142,279,160,458,466,530,517,908,168,068,758,022,779,204,286,168,410,380,802,
109,816,625,470,763,110,940,688,926,782,997,958,859,524,076,726,431,778,777,
849,247,068,495,532,255,870,521,505,989,290,779,653,893,652,990,478,547,112,
993,760,376,575,048,781,317,258,980,445,605,174,424,941,276,665,525,065,497,
142,434,845,306,064,216,472,922,790,903,601,601,356,827,397,485,545,652,179,
128,503,209,001,176,519,802,293,757,660,081,033,100,690,949,316,472,760,835,
683,297,045,955,966,961,189,238,817,107,243,153,247,561,777,707,834,374,710,
878,412,639,813,516,020,444,988,177,373,122,564,521,231,866,448,327,436,935,
532,020,401,727,622,781,790,940,562,280,662,458,158,583,127,373,823,579,463,
735,344,147,484,933,175,884,219,898,537,078,208,970,195,847,579,494,111,090,
337,370,051,093,973,570,036,185,598,431,817,815,441,703,780,388,695,009,649,
499,801,491,834,893,270,335,088,397,610,738,317,770,479,979,317,024,125,540,
689,859,142,589,504,010,061,972,679,232,126,555,832,551,148,562,389,478,931,
181,874,556,379,354,699,098,231,768,912,198,661,074,607,308,638,632,089,350,
392,216,864,223,632,584,007,937,438,778,078,500,532,498,094,411,388,856,061,
602,260,576,552,250,202,816,658,448,905,256,666,136,233,763,829,045,662,080,
284,253,891,429,321,851,071,124,494,538,709,599,793,556,670,777,770,500,938,
448,985,250,515,330,218,232,781,351,379,558,952,985,170,453,476,999,734,899,
031,418,125,079,210,465,519,209,393,267,565,717,444,287,272,764,847,015,490,
676,834,465,324,700,423,403,928,554,614,759,894,385,930,541,551,107,365,259,
879,650,394,182,418,096,127,730,492,534,466,575,915,734,384,293,411,738,091,
688,498,323,624,334,474,459,348,489,079,322,662,141,685,144,539,269,496,003,
525,096,355,801,555,731,511,147,676,609,778,918,549,074,116,420,917,191,378,
507,492,942,848,568,167,104,811,522,974,654,228,534,130,534,278,425,848,533,
775,537,504,504,516,326,398,825,083,327,529,227,243,261,058,532,963,122,919,
741,386,911,092,829,378,069,755,083,811,986,694,855,214,514,261,008,100,070,
116,202,802,478,152,833,765,093,518,017,530,634,000,969,678,195,303,276,522,
486,726,196,777,766,019,774,430,036,424,125,473,613,697,655,101,211,864,733,
730,363,341,879,153,123,548,591,337,517,950,418,988,770,468,840,363,923,939,
472,382,558,723,855,128,699,460,739,320,919,439,639,085,897,619,282,806,551,
173,655,781,402,865,003,954,218,306,808,141,980,706,116,233,134,743,189,113,
804,103,316,869,839,909,314,064,429,788,927,021,458,082,052,112,760,168,541,
470,740,754,432,096,755,524,030,898,606,826,646,433,714,300,613,695,726,577,
133,990,369,660,647,220,478,512,054,071,605,834,892,520,506,466,002,934,466,
048,188,474,114,518,396,541,630,756,821,407,634,062,687,329,072,899,923,171,
001,845,893,988,126,995,447,386,396,850,909,120,105,686,269,292,204,262,640,
428,922,688,558,618,833,221,118,449,270,237,498,489,820,411,706,105,027,886,
013,220,903,172,016,540,674,276,774,185,377,891,275,653,895,958,469,016,743,
570,714,235,902,978,772,529,180,142,036,788,833,144,659,944,951,275,088,075,
409,101,915,139,088,014,039,391,084,014,498,389,965,966,638,465,965,950,503,
734,759,829,832,453,452,185,026,811,566,954,239,692,649,381,565,784,794,543,
564,036,810,648,857,356,152,877,728,941,118,782,343,849,142,580,423,246,707,
822,611,019,894,133,292,469,493,623,480,068,345,326,324,208,936,347,753,974,
847,390,445,006,296,101,085,788,381,674,167,809,175,183,134,214,813,936,956,
726,519,704,934,425,608,837,077,602,499,277,175,883,766,375,804,940,310,024,
993,328,369,804,646,544,148,360,863,312,125,185,018,771,841,277,216,127,746,
336,419,442,039,450,751,694,870,317,714,627,323,169,842,386,508,750,915,286,
646,608,733,128,528,906,672,674,582,919,430,287,314,507,429,819,052,881,409,
036,827,003,695,880,161,107,707,969,305,372,545,500,261,067,691,785,854,561,
941,245,922,523,532,534,113,273,975,315,937,637,179,497,395,596,382,428,785,
476,783,684,277,153,171,952,297,439,291,617,627,006,763,530,191,583,750,750,
584,562,946,064,424,933,880,232,348,922,527,982,304,568,963,096,990,342,159,
304,881,548,206,286,428,209,036,513,550,639,723,201,440,833,373,644,783,063,
882,514,310,440,382,075,041,473,219,308,709,593,855,553,535,008,575,696,949,
948,518,931,506,813,715,191,625,656,343,063,604,457,233,656,553,088,864,983,
205,201,066,123,683,848,869,174,979,940,765,020,711,322,535,775,160,338,802,
469,118,633,148,400,303,711,673,046,426,998,120,482,262,794,216,522,135,996,
120,592,015,926,483,590,197,891,534,956,932,177,596,993,512,095,062,150,772,
833,877,002,966,759,228,473,869,712,452,952,935,065,877,835,092,904,758,928,
924,187,179,544,261,671,796,483,606,234,205,767,409,572,699,384,896,351,048,
910,991,143,084,348,732,897,617,604,840,562,568,999,936,504,190,753,269,795,
187,630,048,494,066,581,826,514,010,531,202,704,577,460,729,644,282,047,551,
994,831,030,043,250,180,296,063,706,056,338,222,260,845,419,367,985,501,043,
820,690,871,262,680,939,499,182,813,990,636,905,065,893,994,802,172,895,797,
643,111,552,395,565,353,616,606,486,870,507,958,956,249,287,141,201,764,812,
992,244,720,404,898,420,503,990,237,886,483,941,746,148,747,064,503,875,800,
535,607,814,720,279,910,722,357,887,980,578,728,860,675,423,634,083,474,616,
140,489,279,573,902,787,972,123,409,724,197,973,541,099,550,091,848,515,699,
463,315,257,356,697,601,988,626,086,187,586,766,779,378,717,951,635,333,871,
253,192,406,713,411,179,741,569,549,455,306,419,091,344,381,467,833,412,632,
663,873,082,064,800,799,547,920,372,271,199,687,771,932,291,575,953,322,078,
366,255,977,888,476,047,455,553,605,439,559,818,200,051,342,601,191,028,914,
046,256,012,502,904,114,362,802,267,505,149,461,568,932,634,900,446,225,022,
139,387,231,079,086,539,891,347,541,574,510,624,087,565,220,171,975,505,075,
635,193,500,420,760,179,005,619,960,449,082,806,011,910,644,493,270,249,870,
084,346,984,230,081,120,516,330,842,356,477,547,975,301,181,579,425,993,197,
031,974,313,090,948,889,274,671,981,371,866,240,287,609,472,104,123,570,435,
367,520,282,892,086,971,272,019,094,380,864,129,539,971,906,536,170,381,059,
845,920,179,394,752,790,117,671,652,061,018,166,450,095,529,990,221,571,629,
652,942,148,405,898,245,876,571,548,180,508,431,019,062,696,459,213,130,666,
342,142,838,361,182,166,670,178,428,680,099,399,618,993,378,270,084,954,764,
544,390,018,045,141,374,974,512,786,360,575,595,079,752,118,280,019,374,117,
754,332,829,947,512,336,749,321,835,682,110,807,167,665,700,625,965,099,209,
671,303,231,631,118,888,758,633,808,421,042,370,183,218,127,115,634,453,251,
964,814,146,243,746,896,787,713,437,588,774,947,497,734,012,020,450,527,793,
563,150,027,782,095,428,628,496,417,687,513,191,731,935,210,752,574,993,444,
280,144,824,326,453,302,623,538,880,738,047,769,015,382,436,794,584,937,785,
600,023,729,520,453,156,700,280,863,958,577,376,563,619,740,760,502,734,528,
697,285,451,562,042,440,397,806,467,829,483,058,910,708,882,507,243,044,300,
732,062,441,140,874,740,635,234,042,293,567,289,498,900,401,122,863,462,343,
799,986,534,809,376,000,891,713,660,499,775,333,191,108,160,910,024,647,531,
842,980,505,033,222,138,233,564,120,658,346,690,069,766,018,197,643,484,584,
874,203,352,365,331,650,540,081,513,184,636,023,298,078,505,341,015,281,319,
994,329,455,879,464,617,737,772,282,478,307,861,559,066,977,960,125,849,141,
517,622,519,229,260,534,891,155,170,752,595,931,812,529,553,124,756,928,947,
350,926,541,318,851,219,076,695,209,338,199,767,387,083,597,528,798,780,517,
128,749,173,236,256,073,773,003,014,265,843,038,502,498,013,720,375,373,441,
933,169,097,575,973,016,884,610,575,158,853,033,230,594,744,454,215,566,438,
471,231,555,137,776,463,676,347,265,589,845,847,519,945,436,407,718,724,434,
799,389,943,000,424,834,663,188,129,948,203,532,760,856,032,593,524,083,949,
473,092,618,805,714,074,084,693,722,520,760,838,517,605,822,888,637,968,727,
824,085,173,250,310,944,913,983,394,260,518,967,041,154,024,979,216,513,816,
874,799,734,826,508,090,423,541,089,539,600,268,206,076,175,628,262,340,581,
276,067,253,876,636,370,246,441,214,489,318,131,169,185,097,804,674,544,571,
987,646,875,031,657,041,792,415,235,476,550,720,483,101,480,135,099,434,815,
726,203,552,464,754,710,325,690,859,659,162,894,725,682,063,638,305,461,373,
946,657,882,459,419,753,188,958,290,082,483,931,078,615,096,863,791,818,978,
086,657,182,478,188,063,977,210,640,060,100,213,233,352,914,718,998,846,838,
936,628,143,645,978,838,138,917,485,287,861,944,831,992,888,939,834,965,229,
543,225,301,746,949,774,934,507,461,709,090,729,039,170,690,455,354,845,813,
745,508,906,840,591,532,957,988,194,556,512,610,102,214,413,381,153,461,844,
384,167,887,549,313,199,508,605,161,966,283,570,199,025,546,983,119,821,774,
920,210,470,212,215,844,164,130,632,812,154,758,452,371,083,158,597,513,532,
396,104,958,589,485,857,900,685,537,427,161,813,022,712,980,515,215,963,102,
397,300,796,718,982,457,289,887,596,190,518,617,201,422,425,837,099,613,037,
858,326,057,483,515,131,019,971,091,234,817,521,948,202,924,696,432,184,155,
182,983,396,579,664,828,099,924,169,313,384,505,671,070,142,836,043,317,667,
021,796,707,154,719,574,560,070,365,179,680,072,345,157,947,572,497,020,435,
394,502,738,237,093,743,897,368,683,231,243,366,843,790,230,199,676,979,053,
361,150,980,852,578,127,621,838,912,171,435,987,646,056,790,021,681,789,951,
858,203,663,438,332,359,871,663,939,746,828,903,694,071,991,971,217,292,736,
172,274,366,463,801,293,997,854,567,688,276,231,494,394,542,431,601,024,906,
033,452,603,447,262,396,813,347,886,519,328,923,341,379,456,589,662,044,910,
027,889,162,811,445,512,908,438,622,183,339,137,927,746,424,692,859,614,792,
692,229,558,047,047,992,598,778,363,592,227,000,163,096,711,312,347,716,858,
284,148,633,656,461,082,810,077,471,879,087,988,974,472,279,315,053,837,800,
975,097,576,717,985,348,998,139,281,843,976,496,660,190,489,206,969,976,249,
054,386,141,233,491,135,047,907,732,893,358,781,991,176,244,575,601,347,027,
281,885,378,435,534,556,638,757,319,531,861,475,619,889,830,184,329,846,152,
235,551,918,328,634,462,519,990,576,339,319,224,419,182,299,221,039,047,816,
041,679,610,963,559,836,708,386,542,581,613,043,525,086,014,039,745,655,828,
129,617,991,603,137,071,299,089,531,592,668,947,105,440,045,125,784,833,789,
371,679,287,715,140,798,105,533,723,824,501,654,041,394,474,447,538,088,271,
398,250,620,367,175,409,072,715,709,994,528,741,018,021,624,557,918,185,389,
864,994,071,779,863,222,927,979,620,795,006,252,109,630,157,350,223,521,428,
168,326,001,521,348,319,902,060,412,648,720,493,924,354,699,522,353,089,011,
855,931,011,322,874,721,308,212,716,019,305,567,624,815,836,521,408,029,855,
939,086,117,379,807,911,471,236,868,852,176,803,844,321,260,714,830,879,036,
081,735,715,111,203,611,387,518,652,324,432,743,873,181,455,315,420,952,952,
751,353,653,032,401,883,860,317,212,508,160,866,434,887,023,667,998,992,157,
170,140,169,890,435,789,799,676,505,208,714,350,186,025,668,825,639,132,710,
408,804,158,245,292,255,036,043,256,316,069,970,898,653,061,865,454,314,410,
367,567,808,385,763,694,685,240,080,619,518,230,671,869,966,192,754,295,658,
165,119,000,093,906,798,161,828,737,994,421,667,415,338,197,244,159,300,485,
074,629,215,970,116,151,584,371,508,255,312,814,191,385,433,178,191,290,525,
056,181,665,992,323,700,319,308,334,305,538,404,802,740,439,555,950,478,092,
149,612,129,953,637,351,628,513,326,704,463,624,572,924,651,263,894,728,960,
870,394,807,739,424,879,581,795,769,971,895,206,915,398,317,943,057,241,315,
704,100,489,239,745,998,698,843,277,431,354,228,722,829,469,257,279,962,003,
041,537,264,324,777,746,426,577,958,165,820,674,754,654,465,449,412,524,467,
309,398,657,477,989,476,993,686,997,802,549,991,274,347,660,804,891,605,160,
151,805,242,384,121,738,437,030,999,333,709,186,315,130,242,354,547,212,375,
034,435,597,924,513,902,925,774,771,100,590,171,324,911,758,332,576,008,454,
504,882,235,272,175,932,473,120,383,832,297,416,018,484,449,490,534,221,451,
948,084,972,052,880,954,436,383,120,430,034,942,986,446,549,482,531,649,404,
495,469,178,547,036,672,039,100,248,954,562,030,169,926,630,800,612,838,570,
925,971,973,624,526,963,170,346,925,666,757,588,441,091,359,911,854,702,172,
856,237,192,851,366,054,670,240,908,240,764,964,959,983,820,941,160,169,599,
935,652,453,607,565,327,801,491,433,178,591,212,008,986,327,778,162,277,612,
358,277,867,628,237,010,514,297,874,414,904,221,074,689,129,436,698,886,279,
338,891,673,388,099,811,469,730,629,956,799,354,306,228,921,548,721,745,678,
293,816,350,130,930,766,668,783,283,948,648,550,358,419,156,267,912,826,814,
953,797,906,593,885,539,289,249,307,144,275,954,124,299,072,389,044,241,227,
690,228,440,701,266,788,239,410,675,326,206,082,837,478,491,376,080,916,557,
937,516,214,474,177,530,908,773,836,667,687,529,476,053,625,832,214,051,795,
872,910,745,229,084,995,314,520,369,820,878,163,464,243,602,368,845,625,893,
495,256,495,770,996,449,583,145,272,869,024,878,347,990,538,588,842,392,037,
771,200,143,705,317,506,328,506,383,676,942,065,614,916,229,537,769,144,377,
125,803,000,260,529,503,100,882,001,252,201,416,238,906,539,536,049,682,974,
527,715,889,582,253,301,076,451,454,496,667,166,299,850,083,843,429,759,680,
303,250,778,832,359,202,980,271,906,959,684,452,260,300,057,082,107,752,463,
363,888,328,786,047,231,663,797,718,990,435,096,673,391,789,843,194,376,213,
111,031,098,747,563,492,494,904,342,200,865,623,172,109,910,893,627,657,105,
757,562,312,943,289,674,318,511,893,711,445,653,561,270,551,526,594,136,794,
311,038,513,323,394,646,591,929,231,299,541,651,699,877,797,831,436,271,690,
851,493,286,882,004,349,611,178,153,202,447,878,951,479,331,785,019,236,830,
411,978,194,209,776,906,714,132,427,992,883,219,774,630,106,683,494,968,092,
396,962,749,484,653,234,484,191,804,579,934,261,778,728,692,425,499,587,239,
391,371,943,622,861,171,311,663,989,081,117,979,901,684,843,226,481,959,484,
890,173,448,397,066,484,761,621,079,051,875,634,692,449,722,032,911,983,410,
793,014,969,473,872,474,447,415,538,262,310,701,710,491,133,840,778,863,848,
314,225,150,783,885,652,682,493,861,403,860,904,413,572,482,120,756,829,922,
863,513,973,207,086,335,937,786,155,924,746,973,699,720,575,698,523,668,869,
421,821,246,446,882,054,638,529,824,349,832,655,275,157,151,414,776,544,004,
195,785,603,489,710,808,166,806,927,768,659,525,954,174,546,309,535,956,550,
220,470,211,220,128,296,170,766,106,455,391,183,580,630,404,778,230,065,399,
587,999,026,532,428,379,383,070,274,053,721,396,719,744,182,729,017,826,910,
943,266,470,749,257,024,478,433,203,508,317,585,712,952,837,247,420,836,192,
594,638,390,202,190,993,693,343,436,746,405,021,092,976,465,580,540,544,525,
796,601,692,877,452,154,150,356,190,176,912,523,730,246,034,639,918,571,468,
039,418,081,216,865,932,267,202,249,545,347,963,396,262,501,645,414,431,366,
662,951,873,758,172,931,408,665,490,895,309,162,934,920,119,355,012,268,120,
223,353,314,324,132,933,779,062,078,375,078,304,246,854,249,387,185,360,309,
742,275,289,061,111,458,631,549,906,263,600,624,184,765,225,611,187,231,477,
905,612,753,899,366,535,863,174,996,970,280,546,674,779,025,780,577,400,980,
116,514,975,745,134,146,289,322,939,213,041,442,810,986,046,841,839,744,558,
561,485,094,545,561,318,309,547,832,066,411,525,385,774,203,243,267,442,270,
982,751,480,974,384,083,603,678,934,767,153,249,133,519,869,978,064,989,776,
816,751,376,192,922,071,065,619,941,294,095,889,567,143,684,521,196,171,499,
678,681,719,286,321,091,589,467,301,692,240,425,060,954,530,147,456,076,356,
240,141,006,188,225,285,603,972,425,001,026,483,206,420,867,166,544,408,811,
366,868,508,129,635,440,650,231,733,230,515,460,999,160,668,264,063,058,696,
200,834,454,024,869,103,617,101,920,449,758,287,300,475,072,721,684,903,463,
693,747,203,164,402,574,133,227,421,902,474,255,762,419,401,063,572,499,140,
832,282,970,901,459,723,672,482,019,279,591,608,544,515,112,948,085,253,199,
938,744,516,272,291,137,259,888,297,194,566,091,857,875,340,640,245,738,310,
115,076,606,797,268,456,190,167,467,856,699,519,517,312,534,347,599,658,591,
754,496,628,678,407,407,816,779,453,928,042,037,377,804,160,946,452,506,459,
367,649,468,886,724,415,474,940,976,089,226,382,150,369,737,389,555,962,823,
917,284,898,130,016,861,610,453,187,043,736,887,138,368,251,617,691,039,656,
763,198,364,598,478,357,294,193,971,104,434,758,350,338,487,149,174,321,950,
847,424,708,470,667,229,256,778,685,303,947,268,794,339,438,482,100,235,136,
110,441,638,113,175,255,892,235,588,620,116,250,535,071,852,948,182,509,877,
169,644,547,233,470,002,004,226,258,407,299,519,112,865,384,631,872,667,171,
299,852,156,273,629,343,309,766,652,603,616,285,925,290,531,926,085,417,879,
073,282,436,116,745,886,847,241,292,844,922,897,279,655,696,733,124,455,005,
956,005,121,456,142,675,396,289,107,918,413,798,029,827,070,712,511,117,773,
163,709,176,099,438,895,156,615,536,571,172,864,977,333,487,858,872,177,825,
854,564,029,787,945,858,445,602,377,335,299,174,161,092,983,065,075,219,268,
634,363,620,574,093,256,742,251,398,320,334,973,703,211,961,685,361,112,617,
885,260,710,117,618,240,270,681,449,264,574,630,189,324,781,963,127,043,472,
654,674,329,840,654,144,225,595,175,350,151,448,448,372,459,415,901,289,641,
161,568,288,759,284,596,641,581,706,072,870,811,080,379,723,169,385,919,743,
974,508,904,158,689,197,350,469,439,209,694,699,738,557,985,686,408,329,042,
501,790,116,773,850,473,189,122,522,762,191,641,460,611,733,080,117,779,830,
550,786,787,867,223,569,805,301,479,655,762,590,877,884,286,685,507,822,050,
871,911,433,213,492,214,414,541,456,974,681,436,557,633,128,765,531,080,884,
841,020,132,361,860,053,314,863,578,931,408,511,319,126,942,727,066,824,047,
973,747,334,320,163,224,382,072,385,973,342,472,067,127,886,504,143,382,547,
475,600,045,310,392,699,781,445,820,685,650,928,452,950,886,239,700,247,246,
784,886,221,037,317,718,922,691,348,154,015,126,705,556,392,671,777,119,346,
185,035,613,186,779,547,456,931,065,514,902,206,617,583,410,927,244,179,864,
749,770,371,183,936,751,873,107,309,667,613,204,932,157,733,863,364,863,226,
197,108,358,653,881,526,542,993,195,461,598,693,909,599,387,081,727,638,674,
405,614,413,029,346,172,778,470,706,641,955,060,259,488,850,454,818,470,752,
538,791,621,177,384,245,530,270,892,358,990,536,232,852,668,497,477,230,686,
602,066,707,785,452,756,035,715,165,888,373,631,787,823,288,325,504,592,055,
321,062,248,608,136,435,455,140,336,319,665,098,041,327,582,634,376,688,518,
581,067,882,265,858,964,319,858,773,115,707,195,530,208,877,980,260,647,206,
753,638,531,201,280,048,533,278,086,962,754,212,306,369,403,873,486,198,972,
337,853,875,078,448,378,997,311,949,246,945,757,442,299,581,217,550,931,889,
766,154,032,931,124,504,358,959,959,296,400,694,743,843,779,068,949,043,060,
724,999,660,704,999,708,347,582,457,900,927,934,860,653,333,227,359,499,634,
328,268,802,708,951,695,757,897,006,963,213,712,708,439,974,492,681,970,441,
394,488,334,071,443,477,158,187,073,796,615,817,131,448,195,331,186,798,823,
476,837,234,818,397,367,295,061,058,511,783,142,522,039,125,441,451,525,874,
973,184,521,853,464,604,455,493,046,425,645,444,247,877,173,575,763,898,095,
692,647,131,624,552,971,301,385,047,031,396,930,120,041,359,168,597,747,045,
624,469,222,876,028,240,732,144,027,051,595,462,413,494,125,861,745,194,163,
870,635,793,731,859,043,154,921,477,138,747,923,430,439,067,725,327,954,636,
728,596,939,358,188,079,174,853,652,801,874,115,429,622,622,744,499,278,224,
028,812,511,745,880,861,272,905,613,093,935,373,963,861,326,746,884,309,807,
652,050,952,104,568,266,181,913,256,398,001,788,804,679,941,800,759,304,450,
614,222,798,826,001,516,953,542,638,823,692,274,680,786,103,215,766,787,132,
978,016,968,465,677,732,938,832,981,384,067,872,797,691,397,456,388,780,324,
406,616,434,252,009,027,076,033,197,186,205,965,577,489,810,345,785,003,081,
682,897,131,645,945,074,230,372,176,933,916,511,106,615,403,531,666,667,355,
118,744,188,162,381,836,706,568,392,111,864,394,652,905,466,956,500,990,317,
040,883,443,699,534,437,067,800,038,592,320,089,441,232,178,381,283,411,507,
131,021,938,698,587,232,362,733,442,088,389,326,883,519,006,348,302,049,791,
000,824,623,942,837,682,981,190,675,334,091,032,140,135,953,914,064,246,521,
787,179,943,678,549,349,868,510,074,736,597,034,510,356,013,542,468,024,751,
135,448,625,877,400,651,214,157,333,198,876,401,491,533,336,192,107,262,726,
462,426,223,772,582,260,230,608,938,603,049,397,339,971,467,864,421,158,865,
490,344,373,894,709,716,835,579,886,218,958,174,192,196,135,061,060,440,183,
340,957,698,441,155,664,307,559,762,378,997,135,399,603,752,126,806,484,327,
590,510,059,673,747,172,840,975,985,013,823,515,699,498,073,237,421,540,185,
184,492,614,294,579,505,423,152,417,186,780,411,477,901,182,124,647,128,020,
220,969,717,915,067,362,067,988,420,175,304,048,022,708,177,160,386,427,822,
453,387,314,578,811,984,758,497,030,633,247,812,271,321,813,220,907,800,653,
652,279,195,243,357,098,599,943,530,362,672,227,940,966,628,244,690,003,495,
674,661,309,701,284,491,246,133,307,545,743,396,294,084,830,427,968,223,275,
121,592,693,534,151,036,770,870,159,307,633,175,417,516,143,611,368,232,495,
112,856,859,317,419,442,644,934,588,805,499,313,861,283,832,631,560,076,016,
746,402,125,774,420,959,606,723,216,496,428,482,922,700,540,972,460,219,670,
261,394,267,002,870,380,355,901,211,394,528,860,760,272,224,010,359,183,813,
889,336,367,640,954,009,736,545,063,007,703,463,407,720,426,987,618,769,787,
198,090,358,897,825,115,528,852,813,647,587,818,222,826,626,678,952,494,858,
643,191,640,024,267,024,923,917,905,885,891,605,281,547,531,238,195,246,681,
358,854,539,715,990,133,097,918,601,768,325,397,959,683,086,556,302,173,330,
373,950,592,506,957,216,505,449,455,037,791,335,690,107,857,199,515,059,319,
098,723,606,048,214,855,123,971,017,293,277,607,109,911,657,383,809,224,771,
787,228,947,769,425,470,726,865,604,396,836,609,577,310,188,396,377,492,208,
369,226,358,701,811,777,780,389,801,805,316,872,036,351,375,169,591,673,987,
312,856,669,476,038,010,992,082,444,136,093,043,535,085,150,044,668,810,354,
788,258,626,002,999,497,121,254,517,376,554,859,560,107,660,201,041,113,017,
963,774,349,428,741,784,755,547,996,197,371,178,806,306,158,257,825,685,232,
924,594,584,559,870,727,703,086,099,465,931,594,572,287,941,735,801,302,966,
601,453,526,714,198,538,375,650,930,130,633,509,863,561,695,178,576,773,858,
911,789,101,631,524,137,378,767,622,551,810,284,653,445,498,181,735,576,100,
156,038,498,366,057,434,458,804,914,784,380,381,591,122,405,841,954,954,514,
790,536,828,091,376,540,751,219,298,049,344,132,964,708,197,326,550,128,025,
584,160,678,999,814,774,165,728,351,927,940,681,575,445,156,282,642,806,379,
354,853,977,837,077,907,301,255,436,869,005,581,925,768,381,734,497,014,354,
119,041,349,019,822,200,896,024,056,068,945,600,666,327,139,576,012,155,986,
736,994,804,835,023,714,134,282,943,041,210,530,756,068,884,440,791,173,078,
569,313,023,817,669,853,384,337,419,855,997,984,423,223,599,101,890,067,239,
644,239,747,917,000,476,129,393,056,429,968,646,669,537,377,472,169,819,266,
405,268,350,839,293,398,525,873,704,764,031,257,108,889,932,833,965,136,217,
213,854,785,342,540,103,143,010,067,980,283,853,895,497,472,789,832,401,189,
799,809,271,398,692,117,741,370,187,931,490,135,442,438,053,670,070,723,474,
645,050,823,478,017,920,078,479,939,740,207,452,571,530,094,355,640,397,011,
307,426,895,201,658,783,836,210,708,594,705,337,750,104,914,533,994,186,020,
113,957,373,059,331,411,073,754,886,558,460,264,420,084,450,636,321,221,416,
895,567,108,077,095,129,504,533,500,803,439,250,218,561,263,331,416,106,273,
068,514,478,964,769,178,095,011,580,401,985,017,565,893,794,288,267,082,983,
593,957,538,183,923,676,980,957,613,284,195,397,525,519,517,834,352,818,991,
335,864,856,375,271,767,840,366,908,209,942,281,437,765,134,070,690,103,094,
149,363,594,250,573,935,385,377,759,885,636,643,624,577,288,803,390,985,430,
975,062,197,778,434,105,992,514,774,285,373,517,528,894,356,715,886,575,839,
268,130,476,301,526,651,389,555,755,568,863,001,038,809,885,457,815,729,259,
443,103,171,974,084,717,141,638,963,556,157,273,746,568,530,072,840,422,137,
388,768,669,389,755,186,736,677,684,362,337,345,005,207,567,651,220,574,913,
168,669,994,862,729,526,019,447,590,841,901,938,984,667,984,088,047,289,431,
479,530,756,014,449,232,303,221,047,504,823,456,672,885,152,051,516,200,258,
463,689,461,507,670,481,045,176,551,410,822,314,489,198,980,320,326,896,664,
506,307,953,841,481,880,170,724,716,646,155,205,880,569,258,263,224,929,877,
693,471,288,346,128,943,502,890,259,310,661,955,480,455,939,997,385,851,027,
995,066,157,449,823,611,108,274,569,456,090,038,683,424,922,358,502,929,766,
468,121,404,286,142,852,555,159,943,198,972,504,345,582,030,663,485,570,376,
001,590,071,875,109,604,522,429,049,585,874,883,562,043,817,846,256,907,292,
375,084,995,638,987,323,988,599,539,812,380,863,720,230,121,782,844,884,815,
338,681,764,944,675,435,797,938,023,502,102,342,654,653,044,659,648,108,627,
131,591,386,233,453,961,862,536,838,749,333,871,732,880,486,912,616,552,079,
063,374,046,281,309,621,849,476,009,606,032,649,063,787,828,336,125,465,446,
705,865,139,157,028,127,896,294,445,722,838,487,361,692,792,626,672,342,311,
691,719,333,715,452,138,380,912,312,513,990,136,857,468,619,754,508,648,843,
970,998,481,536,645,012,955,898,380,199,136,991,355,176,692,731,421,550,807,
706,258,501,738,166,545,968,808,494,518,554,973,640,107,579,363,090,703,369,
732,834,181,069,697,757,119,379,289,123,587,484,978,165,036,268,078,519,550,
786,490,119,385,738,688,744,545,963,917,759,417,346,399,056,149,507,506,004,
049,490,747,689,730,686,591,688,923,655,954,707,004,995,120,557,634,600,765,
757,228,114,679,472,503,809,380,644,287,360,080,444,804,814,778,458,739,949,
627,374,015,331,954,155,198,522,947,029,893,630,572,546,646,774,357,527,912,
738,375,092,942,769,107,951,708,236,215,908,511,917,429,444,810,472,046,998,
971,879,690,570,819,701,555,918,224,400,106,066,477,780,574,548,445,324,536,
811,402,636,583,117,934,408,218,549,742,719,424,944,750,450,986,308,012,449,
588,516,249,462,207,607,587,495,510,311,180,026,586,284,212,226,884,607,901,
731,470,517,003,911,160,329,967,773,310,916,379,116,395,713,720,402,981,064,
071,071,092,454,059,611,887,508,394,986,790,634,886,568,094,823,488,703,321,
384,788,211,306,844,091,202,835,972,026,633,281,711,923,767,400,165,927,521,
480,378,877,692,510,777,376,055,626,137,619,333,137,026,426,443,569,206,627,
040,493,903,900,696,777,945,334,905,889,151,837,085,067,452,959,023,889,658,
947,891,685,831,873,851,356,167,839,908,344,521,548,594,607,145,020,463,205,
566,181,831,109,361,012,960,083,168,900,952,364,716,248,240,995,329,786,244,
307,319,830,788,794,125,238,061,171,674,869,986,572,220,104,137,764,083,294,
329,029,365,027,911,687,906,454,374,474,090,881,878,143,277,201,011,838,899,
450,838,200,025,598,496,385,828,535,685,568,879,918,814,187,001,737,426,409,
210,292,028,839,222,320,760,406,703,751,306,253,158,895,553,530,903,442,669,
769,485,756,623,397,520,187,765,145,628,310,064,581,442,949,172,108,709,220,
590,161,176,609,750,396,017,028,127,807,484,492,867,707,521,677,565,304,139,
640,407,457,403,535,873,278,672,551,475,053,734,508,853,637,209,507,561,265,
923,185,277,111,832,341,943,003,857,728,395,296,275,953,928,887,559,207,128,
987,133,536,518,890,662,785,040,511,177,045,601,167,958,162,989,016,670,145,
973,539,256,634,677,806,188,798,441,673,592,337,642,630,559,741,668,733,983,
695,396,690,797,448,644,835,218,605,534,803,674,034,064,267,336,659,667,253,
300,117,270,347,266,892,038,746,076,828,448,781,943,517,540,659,176,282,045,
812,694,266,981,405,048,697,297,586,640,385,630,043,922,255,262,973,059,653,
951,235,297,012,055,047,779,528,311,360,557,036,638,835,666,611,176,422,148,
182,715,817,967,453,114,888,544,640,478,688,258,469,839,576,925,267,615,772,
723,607,036,964,471,485,284,928,179,349,686,244,540,594,821,082,308,538,949,
333,979,511,680,927,237,980,331,024,328,399,698,534,177,645,810,567,488,879,
958,819,310,556,253,240,128,415,590,491,894,216,718,665,150,564,430,097,000,
435,123,201,378,310,318,830,884,664,962,083,605,676,055,704,464,178,666,517,
761,764,642,529,240,387,501,651,625,605,007,781,459,005,828,947,241,920,285,
737,112,545,788,369,280,440,640,655,086,187,340,499,966,551,555,405,506,765,
598,028,738,345,372,444,323,194,788,337,537,358,334,298,694,430,073,201,671,
122,570,624,217,837,179,210,289,910,195,398,885,334,303,730,683,877,460,762,
676,809,958,297,612,912,767,980,077,369,976,809,348,701,877,200,329,426,399,
687,244,978,849,566,054,901,551,897,597,469,829,074,140,160,178,668,699,041,
103,853,877,085,543,953,611,499,517,492,260,471,575,280,190,215,360,003,131,
347,465,474,982,440,944,097,287,704,106,787,971,313,142,566,511,195,890,317,
857,153,514,999,382,714,185,098,555,799,785,085,042,317,689,339,794,072,759,
422,050,864,445,687,838,960,894,377,696,086,491,635,227,964,085,733,041,258,
589,607,677,021,261,400,740,732,336,949,206,192,244,574,880,622,336,729,840,
425,824,138,724,339,933,704,023,211,354,039,515,661,203,738,179,436,245,371,
095,997,703,251,649,057,599,600,938,215,603,295,013,922,411,904,059,964,166,
616,410,013,270,287,481,310,165,791,550,933,403,591,687,262,260,998,543,389,
180,003,367,367,785,239,142,812,624,074,912,702,364,052,260,512,715,902,767,
060,535,991,841,059,565,806,189,135,653,094,352,380,454,371,721,454,058,231,
845,041,215,478,245,187,514,738,006,058,363,771,524,467,116,526,232,903,515,
853,664,104,166,149,941,297,637,633,743,444,915,723,841,562,841,566,345,096,
779,756,117,426,020,472,590,192,150,650,671,840,814,269,668,858,396,395,322,
041,114,459,098,328,995,709,115,019,200,070,616,277,217,262,014,820,471,921,
781,821,171,683,432,424,715,660,588,735,399,340,024,919,862,290,771,076,314,
040,530,418,888,434,690,376,819,101,728,779,212,169,376,625,910,058,948,823,
216,493,113,243,137,980,923,340,083,033,000,047,512,692,092,769,060,163,008,
536,089,775,800,958,857,204,298,938,980,908,422,384,977,746,781,161,749,050,
347,655,379,236,711,100,003,994,151,577,223,643,506,896,123,191,124,769,874,
744,829,449,415,817,629,924,748,068,162,840,938,920,485,540,627,871,643,615,
882,673,079,029,314,281,796,340,443,671,746,701,497,417,266,642,740,205,231,
716,034,011,440,780,982,341,759,330,408,343,858,282,825,321,050,419,462,395,
664,038,619,714,570,988,871,945,468,299,690,453,141,406,459,010,523,042,100,
957,635,759,288,148,475,218,562,892,469,605,252,693,765,166,827,436,765,308,
123,643,365,632,174,593,024,539,718,116,497,593,592,975,083,057,642,136,058,
152,674,990,323,086,388,413,593,177,273,021,393,181,985,378,034,158,667,193,
058,561,451,610,071,584,687,225,965,168,627,511,098,770,675,297,047,514,911,
645,065,287,783,330,294,839,228,841,884,244,746,323,624,683,372,538,035,709,
664,683,583,723,580,857,873,916,258,352,690,932,645,426,336,200,256,859,254,
881,568,983,406,157,264,180,696,411,352,496,114,512,395,450,012,247,643,209,
665,584,217,398,625,531,259,880,813,246,393,971,054,983,242,831,545,957,255,
382,605,867,827,810,150,595,063,516,321,485,441,477,979,621,891,404,440,334,
546,944,535,326,126,359,363,658,790,162,388,340,775,928,521,083,175,787,444,
756,924,325,333,472,485,902,593,285,223,464,229,917,332,567,917,933,978,184,
937,925,537,874,436,618,101,885,751,799,073,818,437,806,314,928,321,216,713,
491,468,810,185,202,169,046,202,602,812,236,049,890,567,017,802,491,479,704,
253,621,321,333,611,138,986,933,960,997,186,109,963,791,162,632,298,111,314,
395,238,542,185,182,386,718,773,118,901,475,761,777,166,877,325,445,728,156,
621,332,790,113,515,172,553,427,573,821,352,731,882,291,117,739,341,929,634,
890,661,109,965,200,191,931,700,266,383,280,258,622,678,692,055,052,880,639,
890,817,779,742,148,503,335,442,463,702,770,108,112,171,360,589,265,369,176,
431,453,572,408,411,171,840,290,672,788,007,088,205,449,318,794,836,997,459,
011,886,501,573,750,310,347,600,891,010,818,769,769,350,639,899,276,228,784,
805,046,689,474,912,577,504,409,055,897,500,927,755,619,094,493,185,539,078,
325,227,377,750,786,352,242,171,458,686,041,359,085,616,127,069,254,812,814,
869,728,195,639,759,934,514,654,357,511,257,808,805,192,219,871,058,251,190,
110,041,528,917,082,434,337,686,113,775,567,344,467,680,988,557,939,432,550,
756,305,487,469,340,863,545,699,134,008,240,394,101,210,427,625,206,722,980,
245,286,744,533,630,349,231,650,528,252,726,375,939,881,521,458,435,460,602,
504,615,388,317,379,572,661,927,381,170,073,419,018,305,503,040,705,746,787,
497,388,834,262,005,878,222,766,928,351,274,559,998,910,758,903,282,769,457,
096,757,608,391,981,441,690,773,844,758,611,511,344,548,144,038,116,810,771,
653,709,560,600,428,994,783,309,413,408,328,409,534,328,850,063,668,022,455,
439,074,120,239,465,767,978,181,469,488,560,864,231,817,973,927,895,360,235,
041,912,580,671,401,142,831,200,949,798,469,289,388,778,689,504,838,781,542,
076,186,867,777,233,992,262,456,790,625,498,746,079,380,003,495,671,011,986,
387,042,861,707,772,758,867,565,956,609,655,011,018,481,050,291,232,378,787,
733,412,794,006,701,436,677,750,503,710,150,985,109,458,798,075,824,416,022,
488,183,108,657,835,524,871,386,946,615,268,711,068,958,748,588,937,371,045,
804,744,320,506,266,844,073,837,613,200,490,255,026,437,706,025,134,929,397,
465,729,141,436,984,291,710,411,264,341,938,714,673,744,814,223,027,483,237,
002,344,495,312,729,800,226,683,909,259,721,828,524,134,457,799,825,588,912,
377,238,972,285,031,088,660,556,107,109,716,856,907,474,554,264,241,264,672,
570,927,820,177,374,853,718,995,237,880,521,198,367,335,286,547,736,729,899,
538,618,046,467,973,175,311,683,303,917,059,161,993,031,225,426,742,603,892,
893,637,013,528,543,842,878,182,447,494,254,823,037,121,406,257,968,218,979,
383,189,706,866,975,926,300,291,133,597,136,317,291,722,339,842,645,890,382,
689,287,892,025,831,899,063,338,630,615,657,911,637,256,408,498,735,886,726,
513,674,140,927,515,466,660,059,177,061,177,567,456,953,810,763,729,638,171,
438,721,000,296,455,758,248,306,952,128,070,990,245,333,194,760,187,000,495,
285,602,198,149,227,932,471,855,774,231,181,046,194,417,876,081,324,174,330,
127,351,635,705,187,504,948,832,170,591,742,172,847,140,164,768,394,223,476,
109,715,544,124,050,207,592,068,896,715,305,655,063,767,869,631,925,654,113,
277,563,448,552,824,929,124,514,291,202,175,481,658,883,967,279,666,963,561,
494,315,210,743,586,874,139,134,675,412,031,730,427,520,524,490,610,207,908,
019,706,037,973,754,702,664,908,825,387,545,170,239,623,843,146,096,291,444,
344,034,449,990,813,226,393,629,974,866,099,413,055,895,251,757,746,273,413,
404,424,769,497,381,658,123,170,580,566,526,821,703,017,449,128,844,636,539,
031,720,071,342,591,829,818,307,905,431,254,705,939,154,805,117,988,044,301,
295,804,960,224,807,476,235,026,043,264,135,548,422,815,513,730,128,101,359,
969,818,819,028,959,601,176,378,115,016,710,217,616,281,985,467,147,347,048,
722,539,043,886,710,022,544,842,642,063,594,283,319,326,489,758,835,483,284,
335,853,306,249,885,658,527,211,532,175,643,823,407,427,147,429,733,155,972,
973,349,727,972,455,651,148,689,849,568,965,330,366,763,091,637,338,293,651,
609,960,671,477,735,302,925,821,947,511,537,626,164,892,842,905,894,616,966,
329,836,291,866,259,839,163,777,226,387,703,041,226,995,966,662,533,939,723,
625,053,627,496,227,112,983,381,580,638,597,661,942,248,581,282,565,790,772,
400,081,353,357,646,430,720,918,650,966,161,629,202,211,145,645,377,742,603,
029,385,608,686,585,869,518,298,009,301,040,376,810,718,896,577,834,559,871,
902,434,796,495,903,117,761,784,803,983,356,479,201,631,797,285,850,000,247,
941,003,212,088,043,917,166,711,578,137,207,042,944,474,464,781,063,380,336,
554,684,225,904,129,807,206,693,947,527,851,818,456,276,689,229,569,234,812,
099,988,538,141,437,174,339,883,510,459,564,581,910,792,304,155,499,978,161,
090,939,707,192,142,176,940,121,813,913,396,568,272,314,183,778,444,937,645,
187,542,312,514,009,523,856,159,471,482,759,192,412,890,568,115,664,870,215,
819,522,826,827,570,642,821,924,530,515,855,613,993,723,043,926,962,618,104,
622,642,470,865,664,522,765,364,031,389,876,908,467,926,643,483,632,420,750,
829,826,495,291,505,867,756,002,949,694,044,453,809,371,238,127,810,157,142,
347,871,451,154,948,582,685,479,746,358,148,496,900,569,830,282,483,932,438,
381,326,032,031,790,133,428,906,193,435,552,688,500,166,155,695,236,852,139,
363,002,028,887,105,445,637,552,909,705,513,056,740,701,675,726,746,762,641,
715,127,451,213,413,812,013,351,152,652,579,422,818,842,213,904,930,258,955,
110,533,290,862,044,116,699,961,574,495,555,513,724,977,382,041,616,230,212,
960,301,968,592,756,845,807,727,181,798,840,206,865,703,669,985,945,029,979,
750,138,693,723,740,432,389,425,943,058,494,705,705,155,616,537,398,257,411,
792,195,040,776,837,328,290,881,691,015,339,768,047,123,915,921,035,652,821,
667,020,152,014,630,252,976,086,489,489,695,238,458,228,174,595,722,046,479,
137,463,507,606,007,372,856,092,559,512,441,677,258,474,857,399,273,976,494,
767,075,848,768,666,461,941,044,071,508,348,289,393,151,989,377,712,108,070,
992,472,500,047,784,824,588,585,668,586,761,144,604,081,075,388,587,134,008,
372,368,683,662,483,654,801,449,570,618,335,081,412,645,050,126,484,295,047,
252,112,432,427,177,169,645,778,047,466,121,113,806,676,267,540,808,015,814,
129,639,097,486,811,023,756,890,167,103,240,437,580,425,132,749,995,155,954,
184,737,690,407,524,931,225,362,031,761,955,501,865,671,599,349,041,113,202,
450,037,980,173,318,866,510,169,872,626,551,146,078,832,120,598,485,125,361,
434,362,267,283,535,975,705,899,448,133,848,298,858,517,317,954,103,327,217,
235,189,408,016,323,547,510,276,956,631,288,538,683,882,722,631,286,986,898,
889,603,641,132,756,442,214,257,480,459,206,686,235,355,886,515,845,612,024,
432,428,157,753,528,343,731,806,602,260,747,301,223,606,061,387,917,481,640,
606,678,049,568,004,688,577,817,970,754,855,929,775,862,755,285,724,259,215,
715,973,144,425,098,712,978,405,227,880,926,429,299,898,559,784,604,035,115,
884,645,945,944,717,029,690,297,904,046,730,172,862,566,555,217,325,847,732,
966,394,115,044,250,122,400,611,877,953,924,529,658,068,187,484,337,687,756,
962,678,981,505,508,729,028,354,755,108,310,436,496,905,361,765,142,612,124,
314,691,637,054,590,076,442,991,666,966,223,367,001,712,684,860,843,310,609,
912,507,017,291,870,089,853,806,509,472,831,583,848,650,026,698,477,064,046,
187,158,259,864,919,083,583,708,256,029,968,735,927,355,241,034,494,059,769,
259,552,271,903,061,819,901,051,123,147,457,953,235,255,063,741,742,577,637,
190,746,215,804,302,240,362,018,928,098,496,593,579,302,041,570,718,426,351,
750,198,247,773,275,226,576,314,415,778,665,340,767,895,356,292,446,694,654,
757,717,792,137,416,958,001,564,214,517,163,672,918,848,565,592,601,109,720,
708,351,426,300,879,125,894,391,398,780,677,919,518,122,924,104,902,845,617,
508,151,100,263,481,884,689,798,598,162,021,548,171,236,913,216,004,472,460,
481,869,579,260,737,606,296,229,742,174,988,701,191,292,291,409,631,783,676,
454,328,785,341,286,418,985,172,643,836,321,063,212,714,495,661,411,592,876,
885,267,899,847,486,347,164,567,119,737,953,331,596,816,550,586,546,647,328,
405,550,354,736,693,340,884,266,126,984,253,172,890,584,804,410,352,934,401,
319,177,237,900,767,225,966,591,588,477,479,824,555,603,774,498,139,817,631,
819,812,249,868,764,833,999,340,324,452,369,507,205,741,148,252,991,242,374,
923,843,797,303,819,154,854,662,488,118,485,324,001,176,177,569,213,288,039,
836,803,309,324,730,954,432,668,333,176,952,429,144,944,820,957,664,857,133,
517,335,565,725,937,320,681,318,450,169,501,855,247,924,676,671,606,068,039,
487,921,148,503,943,606,076,485,898,398,171,419,149,699,409,855,595,171,391,
829,619,245,000,688,774,267,359,445,991,994,567,174,501,667,791,494,759,136,
531,694,394,343,885,709,150,466,678,117,019,707,918,245,757,549,967,376,905,
307,204,301,183,166,001,655,019,748,703,120,665,405,369,759,343,597,015,929,
237,153,275,571,578,315,919,149,437,734,646,441,360,855,108,296,301,226,169,
147,775,476,540,433,675,158,987,544,968,618,342,482,865,145,571,345,160,571,
030,773,920,180,669,621,996,756,099,574,363,820,890,305,210,613,595,290,365,
047,553,451,211,813,288,983,939,102,431,737,083,410,341,561,802,063,369,798,
715,571,870,488,887,263,312,505,927,127,158,205,853,545,436,969,875,894,611,
138,656,227,566,813,660,851,873,890,965,671,202,318,352,041,787,399,403,976,
392,488,923,181,683,718,419,978,961,361,646,876,603,024,301,024,366,735,080,
013,299,937,079,924,016,975,019,858,456,948,514,631,024,525,392,856,171,661,
118,875,824,598,599,840,039,635,232,537,807,031,360,871,094,624,193,702,843,
440,320,614,038,933,633,519,035,605,512,499,800,822,047,056,826,227,469,567,
470,249,907,569,229,517,595,535,650,182,416,976,210,194,756,090,040,112,562,
827,713,625,803,824,793,551,471,170,473,881,140,303,360,565,579,462,202,046,
375,362,839,009,843,376,567,540,289,973,765,413,362,439,648,842,349,087,875,
974,642,110,573,948,450,331,925,312,500,146,648,614,433,653,390,484,688,874,
258,457,874,955,678,355,017,929,460,912,644,757,425,348,483,305,805,458,275,
535,284,140,575,292,445,987,950,011,918,323,454,077,548,005,892,008,508,580,
313,039,257,967,731,258,794,959,980,882,787,539,350,010,870,248,516,623,858,
433,105,166,634,861,161,185,069,340,880,389,761,999,079,089,352,998,489,714,
852,786,034,060,050,751,245,623,523,127,662,939,890,444,088,940,605,796,278,
066,943,395,738,566,539,197,108,451,563,991,335,502,331,494,500,415,170,319,
590,278,638,590,042,694,735,043,799,794,007,768,055,316,064,242,646,641,751,
924,598,055,968,042,792,511,161,733,392,467,740,427,018,170,004,048,200,956,
379,764,975,415,993,226,328,727,858,946,437,010,576,014,534,163,983,105,871,
499,878,738,593,773,582,245,792,512,781,182,411,667,363,067,410,169,023,730,
630,089,027,137,827,902,384,065,318,382,231,818,661,663,348,387,764,422,139,
221,904,065,618,062,299,187,737,538,307,620,154,076,384,507,582,172,202,950,
177,559,135,871,036,447,121,936,231,606,114,239,217,297,634,947,855,871,328,
863,741,607,668,908,316,237,406,376,615,376,577,510,914,549,775,271,524,899,
763,659,106,623,739,181,362,990,478,869,986,699,087,260,132,920,744,614,234,
538,056,528,795,587,739,296,996,443,673,001,135,897,769,915,391,023,737,714,
208,621,786,020,619,091,987,257,469,706,539,940,713,219,078,292,496,644,823,
888,027,721,011,240,593,795,065,938,558,048,046,254,682,325,522,004,144,745,
323,661,175,884,165,775,890,865,614,075,072,314,886,027,773,496,270,817,557,
771,885,314,842,743,918,483,725,136,372,880,242,939,553,456,004,238,507,751,
838,622,442,600,498,447,990,150,167,195,780,028,834,967,635,263,139,341,848,
754,879,016,110,333,732,036,455,543,357,527,172,511,100,429,351,302,826,899,
323,222,228,857,532,287,624,736,886,700,255,920,499,484,045,243,313,767,545,
270,780,957,451,801,184,461,791,753,255,126,659,983,387,053,118,333,774,360,
437,538,958,197,397,455,041,544,836,778,843,260,957,788,587,466,899,702,337,
754,931,730,807,183,304,698,259,114,460,653,218,015,431,420,361,795,146,761,
612,612,509,853,990,065,598,219,698,745,415,899,702,178,004,506,003,775,566,
952,499,252,849,645,892,108,782,791,665,985,637,043,176,612,868,458,164,504,
617,421,969,153,290,094,852,551,765,760,173,657,567,810,365,380,510,454,355,
331,823,769,453,275,309,903,025,855,934,541,775,987,816,251,990,987,626,420,
997,950,404,353,160,226,760,744,617,106,690,343,533,128,412,420,184,242,661,
942,866,119,761,936,845,798,006,626,953,355,360,359,973,607,291,798,567,462,
796,091,170,920,141,212,935,656,012,013,543,664,734,253,879,095,958,004,445,
794,228,958,098,828,631,827,775,355,434,615,824,855,092,046,835,520,090,885,
185,934,104,722,550,500,452,314,118,039,202,731,696,878,460,709,467,520,715,
214,712,396,369,662,208,459,914,956,798,077,649,880,189,183,949,649,363,808,
161,062,097,472,372,194,772,745,057,995,790,067,749,342,264,961,962,133,671,
931,457,389,170,664,422,027,051,048,742,282,165,069,363,193,543,271,005,425,
444,646,932,071,539,875,150,747,949,342,298,402,749,315,684,739,571,316,785,
818,810,698,958,598,261,173,533,719,127,359,057,644,892,695,498,127,501,724,
451,853,809,113,703,946,456,951,727,686,952,668,339,054,882,874,435,574,315,
940,170,779,960,655,553,838,796,333,853,330,062,794,711,970,933,949,811,532,
236,192,393,603,880,308,062,969,574,257,992,909,637,302,011,394,725,448,453,
746,209,262,397,129,455,996,099,653,832,790,094,878,461,860,491,391,531,056,
634,217,596,521,513,939,573,223,439,937,574,015,119,816,934,240,979,629,792,
733,384,978,320,731,954,595,309,700,094,978,770,457,238,142,068,653,539,390,
514,025,761,707,538,765,246,576,950,234,222,993,293,055,064,733,867,661,679,
708,880,962,127,744,911,368,338,802,079,505,811,949,300,272,804,521,601,215,
274,615,972,236,098,953,677,496,617,061,513,362,987,464,748,905,484,961,149,
967,770,564,375,055,667,042,174,101,369,960,867,500,577,299,043,854,458,390,
328,894,768,722,611,490,757,419,143,491,647,153,550,892,415,104,115,326,096,
141,405,230,508,874,372,284,487,423,725,863,402,680,041,214,872,967,347,333,
733,040,482,362,719,973,049,003,218,444,671,999,282,324,953,384,598,860,435,
859,222,282,316,103,063,552,926,774,131,658,301,070,103,660,142,513,766,806,
609,088,899,742,015,612,674,953,309,647,586,523,978,428,932,501,615,591,382,
518,881,033,187,488,115,206,454,830,480,056,586,121,310,340,102,626,301,797,
817,904,999,509,990,154,873,617,796,345,438,631,617,888,075,353,286,364,901,
140,858,805,636,022,078,470,919,177,739,972,592,984,957,421,157,682,581,108,
860,417,201,144,824,976,639,462,491,397,989,780,967,775,009,020,071,316,797,
433,545,239,857,697,490,838,044,933,294,704,146,422,290,845,092,015,304,145,
725,099,682,874,205,492,344,047,610,663,502,844,996,272,434,678,852,022,048,
042,903,055,315,210,165,639,457,934,127,361,133,948,928,186,656,397,830,577,
017,607,726,398,171,989,071,479,831,631,275,676,515,893,367,710,431,982,982,
407,856,354,019,659,382,670,096,374,232,606,786,765,928,921,829,682,352,819,
774,267,846,565,294,586,007,873,563,883,865,676,143,143,359,715,040,484,095,
319,101,580,330,000,815,431,462,266,324,955,580,038,724,633,097,179,196,807,
241,724,543,258,373,310,939,991,046,023,834,664,816,827,452,316,828,814,498,
122,619,206,807,719,559,677,184,290,813,882,061,068,902,610,305,749,740,569,
741,424,816,671,756,735,505,889,497,062,604,524,626,842,581,574,275,452,477,
997,831,574,091,628,800,594,179,346,392,145,096,376,067,612,934,694,480,160,
972,209,093,795,434,394,788,763,642,901,692,389,501,710,932,613,543,756,534,
899,692,385,062,019,206,585,996,190,746,302,683,144,978,600,504,404,952,339,
926,677,658,593,095,355,742,824,529,010,288,374,823,805,581,644,714,934,724,
927,612,916,376,827,250,926,125,759,398,362,654,468,325,215,442,013,634,693,
230,243,787,848,495,799,251,384,094,316,873,107,498,637,964,580,876,910,456,
266,828,377,353,964,156,412,988,160,993,380,642,926,158,438,473,997,634,289,
285,840,318,310,908,756,067,951,076,912,381,599,255,336,217,891,999,917,887,
140,017,400,337,560,581,497,181,423,711,472,967,124,852,177,485,268,825,022,
121,626,173,922,477,629,525,071,207,040,062,119,425,295,695,529,948,031,310,
325,189,307,599,709,222,498,451,322,620,569,287,296,781,948,405,807,203,510,
725,361,275,566,493,750,967,683,890,924,752,694,547,005,347,682,404,679,012,
077,542,562,653,332,663,226,734,477,239,925,858,310,647,109,856,352,915,909,
174,393,914,382,073,551,830,950,329,000,378,912,870,790,547,347,965,941,056,
180,956,937,573,851,612,279,771,905,713,454,755,806,269,780,343,027,951,171,
714,535,966,099,592,880,360,118,633,149,436,775,773,888,571,657,174,329,315,
085,215,706,279,409,784,850,322,771,683,324,217,079,674,301,179,593,091,262,
818,875,530,760,716,609,781,257,594,040,166,482,298,627,742,764,699,773,410,
418,815,581,464,935,704,389,087,052,548,935,244,046,466,095,255,001,150,313,
548,624,838,836,664,314,449,354,075,030,152,878,063,494,810,048,838,001,520,
237,353,478,552,807,575,291,723,086,237,674,411,669,351,458,858,766,019,839,
604,409,912,507,234,280,548,588,314,196,735,359,476,109,704,739,240,155,016,
819,510,895,613,519,136,323,179,512,296,159,137,539,695,397,952,871,423,792,
888,844,836,022,588,584,363,996,515,305,836,686,337,681,275,344,282,752,583,
088,742,738,713,703,063,140,781,998,650,158,080,413,339,196,652,242,470,173,
602,003,532,314,106,619,850,077,831,199,612,960,749,344,993,988,850,459,718,
325,234,565,193,881,135,170,793,616,428,852,477,507,797,133,020,602,923,494,
615,696,800,513,567,836,324,583,185,675,161,170,873,611,070,723,085,897,790,
310,922,299,720,334,516,569,664,832,886,430,745,819,979,100,055,641,134,910,
104,197,084,856,997,472,031,255,642,773,534,610,196,476,255,745,078,471,099,
513,415,500,424,446,343,077,253,969,495,370,577,027,926,527,213,941,008,589,
404,225,995,459,287,802,301,254,587,911,529,031,216,322,879,851,569,069,948,
498,096,129,823,825,268,903,786,654,353,062,341,318,710,848,589,272,329,103,
811,935,344,932,727,804,295,089,677,838,379,455,775,960,714,528,422,687,444,
684,225,559,750,231,929,675,864,049,797,557,289,356,114,648,157,341,283,538,
074,021,106,770,690,888,669,334,436,223,719,684,321,817,835,700,587,286,867,
980,808,822,702,731,296,163,031,978,370,141,666,606,558,635,598,911,699,608,
918,366,360,577,139,428,049,189,518,376,251,203,677,527,863,218,974,322,362,
114,150,434,012,930,295,397,393,463,029,877,579,205,821,400,195,135,787,036,
601,431,906,431,475,627,631,543,551,691,295,873,788,766,781,002,018,635,389,
158,089,584,229,864,636,334,924,295,977,446,303,806,883,679,393,727,399,878,
041,939,249,821,625,085,964,207,311,359,740,173,770,660,168,664,168,994,235,
820,870,143,494,389,018,115,091,097,155,550,600,368,177,735,710,365,848,038,
816,080,310,417,299,189,113,867,748,222,403,039,487,101,914,222,659,361,371,
398,414,468,884,896,844,906,001,135,653,550,140,358,419,522,536,411,712,221,
260,814,780,092,461,382,173,104,019,896,983,168,632,233,590,098,768,042,200,
441,386,122,176,169,387,580,159,769,800,813,112,860,699,447,912,642,043,626,
489,155,157,003,582,044,156,476,556,419,868,770,849,777,575,511,507,978,657,
207,960,059,556,488,191,978,847,910,050,836,608,533,693,407,990,192,862,744,
439,209,055,095,796,520,831,200,044,967,921,650,632,185,001,318,684,762,517,
432,891,312,339,488,699,126,363,049,334,596,088,979,485,512,320,786,347,851,
282,393,680,086,697,022,701,951,625,978,965,139,222,674,121,644,758,678,488,
702,083,011,788,184,870,027,173,217,420,023,301,663,599,828,183,520,966,846,
344,460,355,805,252,198,496,698,180,607,622,646,651,311,619,907,274,781,329,
899,505,573,667,568,802,463,905,062,535,804,393,923,520,859,548,498,059,358,
009,810,434,266,418,173,122,684,293,878,233,130,619,814,776,705,917,658,452,
428,568,855,961,987,268,126,166,224,024,638,412,953,441,828,597,646,824,934,
795,280,814,022,060,369,650,771,393,986,123,060,949,328,592,029,419,453,816,
552,265,023,568,050,801,349,245,762,740,051,060,142,343,279,468,369,822,524,
300,614,452,547,318,479,721,307,672,124,218,167,393,239,726,920,612,889,961,
170,107,793,483,041,190,361,529,879,920,749,058,567,936,883,418,861,593,078,
144,569,665,201,591,976,827,380,527,698,885,329,930,379,451,250,437,448,117,
272,277,722,200,046,457,179,295,014,234,432,420,982,537,608,161,140,981,983,
708,881,021,924,176,048,717,897,008,499,395,992,892,115,582,071,127,692,481,
586,677,679,331,084,806,962,778,106,786,132,647,497,518,910,115,958,299,979,
638,097,579,366,005,731,190,616,657,995,679,725,754,412,533,074,379,775,953,
431,652,028,899,770,178,064,619,839,854,339,438,418,027,391,603,684,796,615,
691,465,584,325,156,970,760,192,971,410,472,622,321,364,301,984,094,429,407,
223,552,746,320,109,061,421,894,733,029,355,717,791,692,967,593,275,065,126,
016,520,104,665,188,645,047,768,388,645,994,497,456,398,342,237,887,723,561,
186,039,731,995,586,998,619,402,926,259,882,272,314,073,048,332,109,237,797,
799,475,018,421,199,104,154,044,544,814,164,168,462,790,186,588,872,528,411,
208,010,539,964,241,567,393,263,800,056,463,514,883,803,150,562,074,556,787,
828,781,696,691,413,878,815,676,536,921,920,404,480,531,540,983,722,807,477,
124,946,480,239,397,668,972,321,022,675,142,977,920,167,770,619,025,764,843,
120,623,409,601,804,425,591,912,980,554,542,105,233,410,843,734,700,659,640,
796,006,471,095,272,908,423,640,974,450,800,573,556,092,824,190,991,609,396,
196,115,240,885,827,978,680,781,255,800,705,963,605,987,988,348,816,471,672,
392,193,323,316,333,090,425,442,780,172,653,896,515,616,102,997,012,729,611,
219,720,880,826,008,052,374,343,043,722,943,565,190,677,682,706,267,157,686,
279,247,711,223,036,922,518,784,500,933,123,122,329,597,810,951,706,041,420,
591,848,485,548,082,791,995,781,645,840,184,758,564,485,209,084,627,863,596,
008,744,516,000,184,903,545,621,911,131,626,517,324,870,124,155,941,696,887,
871,446,751,876,813,589,269,593,721,046,448,536,002,732,625,427,118,432,694,
250,996,955,216,375,393,807,675,073,752,664,368,739,878,790,548,281,555,590,
914,339,452,806,638,700,414,127,972,217,546,268,461,495,843,267,565,778,091,
967,336,824,989,738,721,512,794,207,890,096,885,613,370,507,756,622,786,883,
324,429,362,600,830,246,844,516,084,553,749,291,453,368,278,080,442,880,064,
459,408,201,837,434,162,413,804,558,378,136,047,174,171,775,747,527,397,829,
212,515,843,912,878,332,532,527,643,990,177,360,828,096,016,483,431,712,724,
560,353,317,283,078,790,860,481,410,779,186,071,282,378,247,111,309,147,298,
438,567,628,198,956,777,328,051,686,661,340,386,318,595,883,352,695,621,054,
191,210,026,718,808,085,202,062,327,653,013,268,487,084,802,543,111,112,282,
597,632,844,936,278,972,166,146,039,107,363,500,584,939,667,902,044,780,014,
109,340,869,678,649,852,023,763,620,305,866,653,832,780,382,544,478,462,435,
953,984,203,592,288,467,358,354,479,842,142,745,039,221,585,746,790,342,046,
394,628,414,520,316,636,125,586,590,069,536,449,142,456,872,693,607,140,005,
099,597,261,069,580,728,362,714,086,138,174,968,495,685,720,847,943,974,367,
860,045,026,461,897,297,420,496,513,147,947,442,720,075,924,173,136,655,285,
735,856,417,175,002,808,165,474,002,478,092,352,041,918,603,545,943,158,758,
908,102,252,458,266,530,052,990,809,768,338,134,448,387,568,882,175,590,040,
278,175,166,643,939,905,774,133,663,382,157,174,975,215,801,555,000,235,418,
212,991,348,208,967,898,722,910,724,423,312,455,654,038,557,123,623,182,603,
480,275,479,455,783,320,478,692,124,091,363,142,771,889,511,481,747,002,419,
423,569,073,476,041,359,486,585,855,027,456,941,104,059,878,081,516,523,581,
823,265,695,648,678,413,633,266,302,846,686,059,814,069,657,763,710,528,872,
314,847,701,405,759,678,133,359,579,505,311,770,056,717,184,550,461,378,680,
708,194,014,478,824,068,742,668,559,783,013,681,916,293,834,302,378,557,129,
268,044,170,305,580,649,302,978,973,709,286,988,383,338,512,602,420,024,683,
296,190,075,554,438,825,424,334,143,064,729,894,675,631,045,982,539,742,401,
446,683,880,787,069,849,128,511,747,608,354,786,614,146,921,198,618,667,823,
321,612,795,455,176,844,695,786,768,992,600,978,293,838,047,892,940,782,214,
212,528,452,031,506,830,231,172,781,455,878,681,642,674,603,221,110,401,858,
249,832,915,684,978,322,282,985,652,114,104,709,449,314,548,978,022,328,358,
331,522,757,305,741,840,439,851,049,115,742,642,532,532,778,786,784,844,890,
580,308,654,518,880,987,708,071,584,049,618,553,837,464,187,139,918,126,935,
522,664,315,040,040,052,085,252,976,162,155,634,604,633,008,512,208,377,015,
301,502,284,729,579,130,532,442,674,456,518,765,499,137,872,997,931,669,399,
937,864,402,970,057,737,466,449,941,062,995,480,271,924,351,559,408,545,340,
699,408,188,030,379,040,902,559,012,052,907,221,299,705,841,023,312,723,254,
956,901,558,350,561,446,531,056,228,357,171,629,423,510,650,081,774,819,404,
707,664,059,338,455,527,809,371,119,000,010,591,766,459,730,836,711,977,025,
975,642,762,561,133,040,245,982,393,409,464,829,501,501,784,493,677,200,510,
310,963,345,524,403,317,709,701,359,485,699,478,135,469,626,198,130,753,944,
940,753,234,588,601,428,479,147,844,696,617,401,135,051,006,286,148,597,430,
808,542,319,981,970,240,317,717,995,461,663,603,968,749,791,678,172,229,205,
661,791,795,310,962,318,902,477,771,155,595,427,160,827,721,935,978,191,711,
377,707,319,223,044,660,592,312,547,898,986,418,887,105,128,763,114,354,064,
691,266,257,676,972,554,578,593,506,716,290,479,439,799,039,820,925,013,098,
589,741,035,038,205,326,064,451,488,045,144,986,840,195,315,201,098,731,096,
793,280,249,157,679,208,657,801,551,444,788,297,663,832,976,265,572,627,577,
904,841,248,416,603,587,976,045,304,260,112,493,107,216,088,327,446,669,822,
068,456,630,616,014,358,763,873,673,828,428,612,585,145,393,620,579,361,587,
773,747,474,919,693,823,300,950,258,384,230,698,353,929,399,862,106,917,963,
553,717,780,801,519,237,483,015,003,844,690,447,046,821,899,729,778,405,791,
569,153,862,299,353,596,404,340,532,916,342,251,189,338,181,095,640,735,464,
910,101,969,001,844,047,206,206,324,419,226,386,367,105,547,838,829,822,288,
091,666,805,655,204,057,256,984,457,957,531,349,344,967,728,055,191,456,763,
377,156,765,774,776,686,295,934,708,006,641,963,311,779,692,030,574,123,063,
129,746,413,667,161,043,562,774,931,965,805,365,268,681,451,744,958,232,231,
594,926,302,224,465,274,686,911,103,785,318,525,712,303,480,840,201,606,240,
632,308,820,143,934,491,686,032,313,013,520,625,259,706,662,948,973,881,267,
493,845,921,648,563,390,585,714,691,200,708,128,284,930,984,702,504,417,845,
660,319,242,515,960,693,907,359,699,450,477,907,135,740,707,230,728,290,532,
590,986,267,614,148,908,734,096,653,422,518,424,312,129,468,445,742,720,218,
729,772,860,049,306,378,193,659,963,230,181,120,259,480,267,977,365,060,242,
521,133,007,691,376,368,245,759,832,059,774,057,319,630,468,862,433,005,656,
507,665,719,628,721,321,563,669,280,841,852,061,020,480,176,733,906,115,065,
766,041,891,965,692,252,283,419,727,229,483,930,904,868,038,115,973,883,470,
223,267,208,640,200,631,404,343,399,980,066,641,208,957,363,565,422,329,163,
650,993,183,449,249,944,814,914,083,801,560,654,832,476,568,318,174,341,364,
181,500,773,254,568,250,132,619,876,691,238,424,011,899,603,867,390,670,574,
441,553,756,301,726,210,688,197,817,970,020,353,296,277,834,475,468,326,846,
002,856,828,696,606,830,589,765,533,497,645,938,279,334,438,335,361,741,342,
950,343,406,955,805,214,610,591,378,834,228,366,396,904,031,760,622,218,214,
385,127,179,525,599,180,762,149,511,697,953,137,243,448,855,014,808,354,970,
678,344,257,704,744,783,191,447,291,583,136,709,060,267,415,177,687,181,180,
938,918,966,560,139,271,138,182,368,839,500,709,467,692,991,309,000,048,444,
177,177,010,790,392,260,975,205,713,069,386,783,737,224,806,200,232,842,487,
158,969,218,446,183,184,828,509,552,812,927,399,705,257,022,521,100,238,560,
776,972,057,955,336,864,877,808,897,448,237,775,840,742,173,853,451,132,021,
705,855,061,630,616,650,343,022,201,418,742,340,502,908,691,707,058,173,532,
679,970,873,787,582,390,405,992,937,304,783,460,716,876,878,984,220,466,920,
048,512,661,132,738,991,747,730,890,637,812,136,373,128,187,545,771,640,261,
051,199,925,240,166,087,397,145,252,689,923,739,758,420,536,747,231,352,868,
460,805,856,292,574,504,078,176,007,058,568,658,003,746,565,923,446,878,796,
741,708,382,383,729,333,577,201,275,346,853,058,669,486,461,699,907,501,650,
208,973,041,832,792,540,389,252,700,341,325,593,568,851,977,055,750,208,813,
844,588,427,781,575,327,056,908,472,435,180,453,994,440,803,561,866,887,007,
864,859,638,989,105,316,039,375,433,844,320,184,176,330,975,056,052,432,398,
788,499,083,633,157,487,407,924,413,675,566,693,955,448,801,252,871,947,231,
384,854,510,241,754,216,579,656,985,606,850,902,994,050,108,978,056,056,630,
041,021,354,121,445,345,646,976,410,862,926,737,764,035,530,645,054,891,075,
210,825,202,673,085,270,997,474,567,677,771,917,865,761,090,324,299,477,837,
559,829,167,106,332,254,955,133,241,741,819,297,918,672,777,661,148,261,013,
654,652,200,803,259,546,994,067,959,579,905,522,414,884,385,489,533,567,513,
645,851,351,733,569,321,403,940,893,587,123,279,356,637,105,177,055,251,467,
619,839,378,637,912,949,443,045,943,071,121,712,600,518,453,041,277,519,332,
028,235,017,881,353,444,590,176,720,196,134,308,133,470,614,465,638,960,821,
546,811,466,211,501,048,946,654,797,714,189,898,852,837,044,012,632,951,365,
544,941,604,773,915,129,747,275,443,484,871,049,170,520,509,534,252,735,878,
453,867,677,673,554,212,489,673,141,079,940,676,732,451,491,571,738,784,508,
157,253,266,497,792,373,405,597,675,721,837,244,782,407,697,405,819,095,245,
136,964,401,500,220,506,420,384,669,516,889,292,529,763,493,658,197,789,693,
963,786,343,757,107,978,860,354,232,312,800,780,767,266,386,946,187,845,269,
008,119,209,766,328,534,968,908,833,336,419,074,190,115,232,994,135,630,784,
402,180,915,277,516,245,510,620,910,991,818,750,288,998,931,207,400,877,381,
887,370,085,394,949,139,734,560,125,723,662,696,865,570,237,273,016,888,957,
351,928,542,802,545,187,963,520,881,934,150,274,800,306,698,771,688,976,837,
291,845,982,813,312,721,245,587,422,936,668,204,357,438,479,378,622,872,694,
245,142,181,194,389,122,719,034,860,527,506,057,057,795,016,139,367,310,859,
423,594,170,853,687,552,041,755,608,576,012,399,329,477,778,747,894,808,133,
270,615,266,581,968,256,716,319,041,865,655,683,914,072,522,732,902,033,029,
949,337,205,905,370,350,343,749,300,298,603,250,704,626,281,485,213,479,898,
971,194,077,828,011,756,952,681,357,236,360,104,644,720,473,326,935,644,218,
198,233,191,410,778,260,581,475,840,613,205,116,887,589,718,812,882,258,539,
140,354,812,825,140,618,945,356,304,188,233,224,655,363,104,211,727,929,800,
457,513,216,011,057,339,194,079,769,112,205,253,705,128,568,388,702,569,567,
187,084,050,127,606,582,894,722,588,783,025,356,615,810,439,903,414,207,235,
315,579,382,228,331,683,718,303,806,117,858,463,731,671,653,619,296,075,766,
012,660,836,998,778,678,474,025,809,878,750,757,791,342,069,070,865,742,704,
742,748,600,409,409,922,134,824,859,907,840,858,837,154,814,401,090,513,414,
963,877,828,026,682,954,186,276,611,323,712,145,968,231,564,273,925,564,782,
466,333,631,528,734,128,424,709,983,221,632,451,788,213,329,751,719,565,667,
017,087,973,544,495,266,344,081,697,383,839,284,700,479,614,996,271,707,232,
741,007,039,372,616,057,575,918,567,376,464,926,833,534,753,313,574,559,108,
331,832,868,603,776,634,553,209,667,982,692,010,182,800,039,731,426,583,079,
924,196,905,264,482,532,604,990,575,873,181,208,623,483,742,371,007,405,722,
036,730,347,315,200,025,793,453,904,517,524,350,580,555,047,132,611,776,869,
221,551,920,464,717,118,902,897,002,367,682,157,910,313,524,621,897,744,869,
710,949,466,327,843,463,899,884,683,984,217,112,884,121,050,215,667,931,572,
057,106,627,299,341,069,087,328,831,252,936,637,270,706,921,143,298,677,846,
526,332,199,984,832,460,942,973,513,713,370,962,572,848,007,745,170,326,222,
081,926,100,400,222,406,676,447,600,841,431,245,641,098,788,523,844,234,981,
442,182,650,833,999,099,996,791,197,360,843,999,905,228,110,352,795,687,200,
224,452,976,048,100,102,980,214,371,657,351,240,078,673,299,676,251,750,862,
333,284,604,844,783,417,840,624,808,650,676,271,737,201,860,087,655,208,346,
414,524,066,468,982,973,736,770,777,532,538,520,819,131,713,635,728,889,655,
106,648,239,725,016,537,817,734,878,351,975,518,189,899,913,710,976,867,049,
673,809,142,686,565,283,968,634,943,147,998,337,421,711,479,804,558,743,946,
560,235,649,753,656,687,621,490,914,944,606,232,362,157,025,990,642,524,018,
132,992,033,455,647,539,273,988,712,536,297,065,082,542,770,967,605,078,048,
190,839,711,511,222,077,780,698,539,190,606,442,143,718,637,251,167,138,888,
713,869,385,718,619,436,347,357,476,009,404,665,675,351,934,845,310,218,406,
174,725,402,882,009,219,542,964,383,887,522,077,773,748,797,102,948,454,196,
652,024,461,548,560,297,736,497,798,529,931,623,306,129,793,909,783,336,317,
413,782,513,956,610,973,996,422,133,366,504,893,187,708,781,645,130,302,736,
656,888,005,931,131,783,547,343,866,361,981,683,111,095,217,582,397,398,593,
680,439,769,295,888,609,289,059,446,578,806,370,656,423,311,907,148,167,258,
492,955,414,779,778,267,594,214,718,976,319,050,269,844,910,680,231,921,392,
508,252,701,103,659,585,591,096,368,974,660,981,717,907,562,243,012,098,346,
453,475,010,358,524,903,671,140,764,217,557,387,204,515,018,279,939,883,327,
976,754,924,921,502,509,553,524,160,432,206,090,677,659,293,559,310,583,254,
729,870,973,007,676,346,811,617,383,929,673,566,043,943,775,847,251,191,173,
557,130,787,120,088,417,939,385,176,879,391,773,553,368,435,931,322,315,272,
232,733,589,037,326,959,092,091,934,202,879,598,129,559,224,680,975,160,703,
919,597,731,992,790,360,525,908,968,946,872,277,575,037,653,723,463,915,008,
890,791,015,392,204,287,813,882,167,424,378,051,529,581,469,541,508,736,253,
903,216,850,604,004,861,786,955,714,581,700,944,539,886,657,871,126,758,651,
279,704,792,192,499,014,413,053,181,531,808,561,885,143,059,887,059,411,511,
465,798,258,912,757,707,332,759,671,234,342,721,668,079,768,814,697,790,403,
734,447,977,235,527,463,704,298,435,823,220,494,518,670,814,538,920,431,027,
037,882,099,495,124,129,886,280,502,173,789,439,708,545,196,920,196,487,194,
665,856,538,355,588,962,816,468,475,511,368,597,401,416,690,522,990,488,196,
345,608,912,779,512,720,382,077,724,685,286,716,713,373,633,532,503,936,402,
696,409,112,307,889,193,598,018,435,149,086,266,402,478,485,827,219,673,471,
956,330,433,563,468,563,767,753,040,305,382,821,935,959,580,607,405,825,100,
052,159,121,102,723,769,886,170,452,726,836,010,371,521,439,968,550,657,846,
329,429,935,020,722,594,906,066,792,591,264,132,205,683,334,323,370,579,832,
917,165,771,031,184,528,468,300,534,186,917,941,213,812,131,853,720,085,108,
718,546,822,581,864,571,142,594,421,754,215,335,035,426,538,126,241,565,741,
015,115,498,345,177,041,880,580,036,197,117,690,035,203,777,733,352,769,361,
273,460,895,221,442,602,422,654,621,653,997,416,677,656,183,096,271,699,589,
915,313,398,084,610,478,855,148,427,450,978,059,061,767,947,043,054,257,851,
906,661,117,311,261,485,019,277,459,275,003,841,483,891,875,964,062,932,752,
020,970,628,851,814,456,550,894,705,095,702,143,063,393,466,109,413,234,317,
714,593,495,961,752,714,276,140,299,137,697,261,109,059,691,343,966,273,369,
578,257,949,507,091,732,570,086,204,256,867,582,189,489,177,847,790,765,273,
903,306,797,933,528,846,212,304,782,027,228,700,892,288,643,894,719,900,923,
801,524,745,323,421,473,825,423,692,600,917,004,625,895,213,152,431,060,931,
575,799,706,566,543,462,531,685,050,041,019,067,326,646,131,011,945,109,692,
033,118,868,997,245,884,082,442,334,911,823,618,820,341,521,151,558,991,611,
370,377,863,131,671,775,534,981,643,763,821,250,879,145,134,942,382,232,580,
148,147,784,600,584,232,421,079,525,613,218,745,434,750,395,402,588,780,071,
593,956,689,321,590,794,649,210,102,644,587,339,461,122,859,581,003,488,338,
494,160,293,725,051,464,536,770,758,682,673,460,606,768,138,825,174,338,839,
015,141,557,886,383,762,391,399,137,661,243,523,417,178,351,059,367,929,001,
009,647,860,179,974,041,809,420,672,988,296,625,439,163,449,643,425,781,735,
151,510,628,175,223,148,800,038,507,294,184,102,965,626,110,069,537,477,694,
763,327,499,168,533,424,250,135,523,019,268,441,326,600,011,807,903,867,574,
071,159,285,717,031,742,603,507,936,059,618,940,788,273,916,090,042,720,655,
070,744,837,545,710,036,664,787,423,409,170,085,206,553,998,357,720,481,974,
500,391,013,985,373,966,229,441,000,208,811,191,457,912,227,014,251,462,442,
328,403,867,753,765,728,898,093,642,961,573,225,699,845,116,704,902,178,167,
192,145,125,723,981,370,015,997,511,800,090,670,970,312,776,234,399,765,551,
810,201,478,004,908,582,431,311,844,506,592,598,433,215,592,958,072,961,838,
916,017,671,829,315,905,442,884,664,933,621,536,343,490,840,130,686,741,137,
838,223,909,283,344,278,648,572,848,370,683,015,981,742,600,330,194,633,398,
829,887,268,600,977,142,171,086,841,379,455,883,589,786,054,346,600,784,052,
782,966,495,420,669,211,066,987,664,299,112,773,363,618,089,559,430,278,997,
989,334,594,659,879,845,395,634,139,333,248,428,014,054,660,002,583,969,769,
699,435,044,658,228,718,985,158,280,839,022,913,436,124,834,723,160,103,585,
737,586,141,333,289,643,571,815,220,452,543,287,286,124,602,348,193,392,864,
286,803,176,889,116,678,142,210,034,785,899,097,303,037,598,305,507,055,495,
948,956,648,389,269,771,901,494,691,036,256,264,721,413,908,017,727,216,183,
546,574,635,797,421,985,202,623,150,278,740,749,843,005,218,717,701,999,913,
761,893,105,332,792,758,706,474,261,504,111,818,110,231,409,939,365,392,336,
798,912,981,203,871,615,549,627,024,996,622,276,442,358,805,102,743,661,427,
390,302,173,131,146,880,304,037,379,811,671,868,464,102,101,938,817,889,201,
549,860,040,423,126,881,075,751,250,877,766,198,044,134,654,815,941,590,605,
883,491,672,811,698,897,342,964,273,430,831,496,339,007,265,226,711,070,814,
810,494,713,025,992,600,669,958,514,295,725,437,982,412,197,138,802,481,292,
998,974,809,656,022,356,499,568,620,641,373,568,735,990,246,144,333,349,549,
994,316,971,686,144,147,002,779,023,504,764,293,088,962,907,995,044,800,754,
397,456,628,513,568,595,524,335,332,151,012,005,200,770,134,114,337,694,844,
958,566,209,634,846,360,959,694,284,687,000,915,430,535,568,366,769,227,435,
001,076,428,044,825,087,230,970,996,357,223,037,758,037,436,823,779,958,688,
644,302,722,629,195,151,683,294,434,425,109,954,629,177,986,691,752,325,924,
451,631,602,233,085,279,778,195,382,532,044,832,854,063,018,135,888,933,253,
370,164,021,618,497,452,978,144,650,029,441,387,415,990,307,589,377,368,945,
808,368,003,800,568,363,721,082,426,726,419,718,233,652,592,276,667,767,916,
024,988,359,492,830,913,759,804,255,805,005,830,188,388,897,823,514,389,996,
519,398,061,193,977,709,770,715,590,692,633,013,677,215,538,552,812,911,863,
822,967,906,000,440,396,634,877,201,281,845,698,584,974,742,424,421,295,447,
519,206,623,314,025,986,552,320,870,125,945,276,148,129,459,300,585,982,829,
326,644,292,527,380,370,450,527,263,694,244,591,509,634,800,173,628,680,758,
610,335,402,180,265,919,920,531,353,304,886,607,248,688,433,368,877,466,151,
475,145,834,097,591,098,915,490,021,230,990,828,988,213,851,884,713,476,749,
542,932,570,347,973,286,792,796,406,317,948,200,441,665,928,340,020,298,659,
196,004,958,278,714,892,974,956,055,826,265,917,765,464,532,231,975,721,540,
318,415,332,082,869,569,820,289,654,793,293,011,559,022,412,868,029,286,375,
773,438,300,928,748,904,319,291,477,106,522,372,275,281,423,595,903,161,141,
297,617,287,803,077,416,087,910,434,328,988,507,003,034,424,196,955,415,955,
383,001,598,915,449,878,440,927,006,980,136,800,249,318,878,880,231,777,418,
749,609,285,665,193,332,807,000,568,041,014,193,306,196,246,833,380,142,693,
037,149,541,011,096,232,002,106,266,634,739,241,291,631,980,187,868,763,166,
395,092,466,622,461,757,747,217,997,570,569,638,248,293,016,393,727,747,475,
380,070,040,898,971,028,345,696,922,721,800,392,538,327,530,991,990,296,020,
670,398,594,368,986,174,712,157,121,097,518,090,350,967,379,399,087,368,846,
029,015,469,723,300,889,097,878,834,028,489,635,033,277,112,396,760,642,869,
486,093,772,863,930,054,464,720,627,291,049,596,478,953,746,243,344,656,738,
073,822,781,354,475,956,401,702,678,347,280,631,334,002,004,883,779,767,861,
550,020,082,855,313,207,915,144,952,849,232,664,484,392,365,805,517,874,063,
047,922,155,396,650,906,537,618,412,837,948,973,691,529,807,948,717,008,651,
173,715,883,537,567,959,902,256,124,874,448,204,185,390,588,750,700,486,055,
158,647,042,188,748,089,336,373,195,178,182,777,162,806,749,691,864,957,218,
983,255,600,669,220,139,242,062,657,244,814,477,091,389,749,473,035,658,156,
240,418,675,074,965,113,788,194,936,600,304,888,547,895,562,542,052,743,783,
447,850,020,567,370,078,667,459,486,236,876,899,051,567,102,928,765,807,442,
061,835,129,176,784,074,993,063,549,912,331,773,472,155,049,382,765,392,312,
085,762,677,661,981,355,308,553,803,732,791,018,831,705,958,838,225,716,497,
748,091,250,237,874,452,358,609,248,656,003,140,596,435,029,768,884,411,040,
491,711,931,655,664,796,173,013,803,702,513,210,292,723,909,002,138,750,936,
143,835,961,408,498,184,759,502,807,720,235,204,767,363,353,858,567,567,210,
741,631,757,524,553,954,095,943,992,170,854,372,354,467,926,274,326,922,112,
843,797,173,518,317,128,636,529,025,124,759,703,797,817,694,669,274,941,431,
162,450,916,201,787,494,142,537,459,694,990,397,572,251,142,222,769,511,337,
912,056,397,097,151,898,411,210,785,926,528,225,395,932,767,030,961,445,584,
782,178,357,422,104,246,880,422,214,375,504,083,758,476,752,915,110,943,254,
800,947,046,277,684,380,830,306,488,073,486,316,631,378,262,176,390,725,695,
306,012,166,345,738,648,234,586,235,799,383,759,973,185,153,079,134,032,802,
621,893,901,792,681,846,899,426,494,375,236,256,325,526,735,831,486,450,885,
546,819,933,926,154,016,983,075,406,904,687,096,712,073,780,050,638,878,991,
234,125,644,293,592,517,943,144,519,962,839,180,034,336,330,787,012,873,078,
535,617,226,093,219,225,918,709,386,729,923,146,831,207,515,100,977,243,461,
832,351,029,044,996,362,653,314,266,606,939,510,625,806,966,800,619,000,136,
659,686,722,069,835,434,312,727,106,359,950,694,244,786,297,919,375,127,711,
177,603,089,988,466,582,684,712,581,204,601,109,245,607,850,315,854,170,079,
181,638,463,964,900,803,210,441,098,807,089,975,170,584,636,047,221,610,942,
998,487,596,430,339,083,193,849,435,299,648,479,110,196,583,871,837,457,101,
772,062,663,366,197,889,908,359,199,060,468,653,917,055,722,649,994,112,948,
108,495,116,008,570,790,147,349,469,871,105,056,670,163,887,190,010,964,576,
845,377,286,283,681,900,014,568,638,280,279,183,227,204,150,340,298,115,663,
581,145,042,404,190,173,692,896,013,233,405,460,101,387,539,608,567,063,944,
071,212,198,318,989,753,676,338,282,435,538,356,644,082,692,708,146,334,264,
282,923,246,141,698,433,758,424,761,168,337,641,022,586,105,420,661,987,206,
876,307,662,994,074,068,334,146,350,975,244,931,834,911,563,443,009,064,082,
874,393,921,976,945,005,534,277,882,578,934,130,735,703,771,119,175,884,016,
020,369,376,567,456,057,832,903,197,972,284,070,374,679,218,857,703,383,583,
129,526,595,162,283,862,697,956,985,866,193,803,559,254,523,898,783,045,000,
666,924,296,491,777,094,675,483,207,531,320,719,986,625,385,964,104,720,968,
207,961,958,805,896,190,429,526,654,956,192,735,275,967,464,896,372,917,863,
528,118,317,618,876,328,729,430,893,630,323,804,343,328,076,695,231,132,575,
018,910,436,920,954,815,540,379,857,303,059,783,113,143,745,635,267,375,451,
788,160,184,684,885,425,173,507,173,664,640,742,848,781,280,504,471,336,226,
473,988,060,103,761,097,835,242,383,012,877,353,581,401,814,005,196,930,810,
602,153,268,391,876,573,419,040,421,924,497,069,438,637,891,333,708,783,593,
649,788,285,060,506,366,300,578,287,030,519,647,993,505,723,093,532,253,277,
602,864,129,955,666,796,514,864,645,664,533,986,793,160,340,147,543,436,401,
014,062,769,212,026,576,743,967,856,842,872,286,089,703,187,169,303,916,938,
323,501,246,191,522,809,548,219,666,951,930,786,996,350,040,666,803,759,271,
526,395,464,127,742,107,494,446,115,215,295,517,775,941,081,554,992,080,534,
283,289,737,629,400,177,153,905,601,607,728,393,717,384,410,932,738,153,799,
864,881,810,417,165,597,853,045,014,886,625,855,987,778,959,646,573,802,232,
171,861,811,988,469,694,698,043,488,924,701,763,065,812,886,751,330,584,704,
591,584,526,874,567,785,348,864,214,510,718,016,075,876,161,079,412,979,534,
331,646,621,515,179,648,471,288,544,760,795,532,566,150,020,290,346,899,497,
402,306,020,854,370,359,981,253,313,345,107,483,168,064,122,119,660,547,388,
869,035,108,151,451,732,368,852,742,724,138,259,578,021,596,019,278,658,957,
137,977,738,567,276,899,794,773,205,663,565,150,551,290,100,322,845,063,351,
438,082,032,812,594,881,007,110,244,987,364,596,739,051,173,692,212,380,748,
836,655,739,830,060,832,380,478,086,657,098,844,574,131,326,145,842,496,471,
316,860,273,669,032,612,427,198,116,276,267,495,403,802,095,066,025,585,998,
469,859,167,044,399,780,133,998,737,137,958,441,449,307,106,059,350,085,889,
397,987,366,529,941,766,772,759,113,547,253,287,495,533,531,644,214,400,466,
542,352,519,619,613,659,144,342,830,517,137,731,253,163,870,695,317,877,859,
646,933,133,065,871,154,278,140,520,495,473,095,454,387,662,020,109,174,054,
497,405,910,966,409,153,905,608,941,012,817,561,328,815,952,193,323,245,086,
303,966,832,424,477,271,021,898,254,183,713,590,348,418,033,069,255,030,092,
769,455,586,063,735,541,249,175,585,030,637,632,681,750,462,454,676,385,815,
418,407,946,992,197,823,375,789,032,777,212,947,015,565,505,458,279,637,886,
906,658,156,706,802,143,546,487,790,819,409,995,815,232,586,843,716,539,199,
151,637,926,248,363,287,071,918,326,976,768,864,800,382,702,855,596,639,101,
149,362,103,483,741,565,528,958,377,211,949,705,693,843,406,442,945,337,358,
092,815,891,440,128,349,521,714,488,041,573,956,596,422,381,508,287,231,817,
055,720,525,465,081,442,985,238,365,126,003,550,075,864,599,168,493,293,006,
053,892,866,259,360,435,364,451,197,424,607,603,984,267,114,911,546,539,160,
454,657,846,433,653,526,212,879,262,603,261,196,488,134,398,404,987,966,723,
514,873,105,396,967,903,811,991,005,695,910,905,155,674,392,635,200,918,103,
110,915,614,685,445,804,448,417,682,186,989,431,891,069,142,728,726,814,154,
498,393,616,121,967,572,718,835,091,966,027,942,089,104,813,457,982,497,559,
259,915,921,247,695,323,768,155,899,430,427,221,189,703,375,177,599,731,480,
712,500,478,975,270,268,707,839,668,659,981,367,304,536,273,312,320,930,233,
010,843,930,972,272,658,689,338,768,021,665,825,396,725,879,933,337,493,456,
540,529,517,812,633,052,535,646,592,605,466,690,269,366,255,781,058,792,359,
271,244,922,287,837,005,743,151,825,432,025,799,174,685,526,991,849,069,960,
738,111,606,822,573,446,910,637,378,108,500,512,779,551,336,707,330,492,543,
583,673,721,304,930,942,043,198,252,811,681,830,353,879,187,614,168,339,900,
294,849,312,203,181,831,959,044,408,155,243,423,578,794,434,800,438,390,551,
800,065,844,660,755,828,307,641,039,999,119,934,077,165,603,210,183,339,100,
790,622,455,840,938,053,919,212,440,242,796,073,007,118,336,283,189,442,382,
891,985,390,234,724,355,001,377,233,682,198,830,312,500,446,934,180,486,848,
719,827,991,063,136,983,484,896,979,893,054,480,228,706,904,530,016,479,521,
632,066,583,897,125,379,845,063,525,741,524,788,398,728,946,234,315,304,292,
328,754,326,054,037,088,737,618,839,085,356,748,700,754,685,720,871,754,249,
586,143,843,027,957,223,935,019,951,293,274,297,750,361,879,880,856,045,464,
318,732,878,122,575,449,718,930,294,540,554,526,363,831,654,989,612,272,371,
812,824,435,569,328,759,035,905,815,691,619,144,157,420,971,664,303,203,649,
773,758,139,128,810,596,891,543,452,293,467,899,106,154,098,785,396,586,236,
139,704,316,255,864,844,388,981,469,257,402,778,579,131,033,431,456,421,092,
630,766,393,227,196,250,736,761,074,766,380,729,124,740,783,585,315,680,784,
863,762,168,395,029,903,075,570,872,355,166,281,845,309,362,292,483,205,060,
563,169,592,980,325,458,066,697,989,120,475,648,628,573,269,391,268,587,116,
609,498,638,545,252,030,312,037,117,106,062,196,269,092,075,363,862,122,468,
740,559,561,205,438,499,924,298,814,283,884,277,661,404,891,393,250,801,604,
324,519,880,728,975,611,132,670,290,323,361,854,287,690,181,558,077,469,116,
816,285,483,037,064,943,918,058,903,777,642,044,300,883,420,121,749,623,970,
772,649,998,114,942,402,835,921,943,231,604,988,840,510,123,815,728,688,397,
272,468,251,172,587,770,366,315,269,763,616,505,404,490,658,128,497,856,744,
517,396,299,965,700,673,003,079,306,005,903,773,572,173,685,978,463,602,118,
686,790,680,603,690,482,825,351,348,634,953,894,968,856,404,728,188,184,269,
729,897,264,048,675,884,150,563,884,665,497,951,482,326,154,674,424,309,702,
155,014,556,755,882,785,054,617,694,006,352,714,870,486,765,615,654,382,475,
718,983,684,092,447,799,851,658,144,466,921,361,848,856,185,077,198,935,227,
239,251,754,777,085,685,718,966,607,490,476,152,050,901,084,533,910,627,310,
348,656,615,093,053,247,254,775,205,736,706,533,922,332,223,788,867,514,306,
964,596,123,093,445,113,807,597,486,718,786,768,593,157,762,640,073,531,820,
986,835,597,597,855,671,608,596,587,489,620,577,106,974,708,815,702,833,788,
934,531,016,438,295,059,046,976,857,304,464,234,764,519,117,190,714,421,437,
737,547,459,203,301,615,021,064,674,343,649,661,842,699,046,767,027,820,714,
864,769,882,678,073,729,166,841,698,111,437,404,055,849,143,819,814,457,331,
556,411,720,119,260,327,614,616,983,247,745,111,546,549,542,763,736,486,548,
441,210,623,058,649,771,040,617,330,079,925,937,807,231,710,199,325,428,016,
684,359,132,660,403,859,247,929,225,507,644,394,626,834,473,119,029,187,566,
185,265,687,726,430,320,496,957,834,513,069,567,367,938,890,871,082,685,691,
930,495,975,723,523,515,847,376,069,378,942,672,360,129,945,868,985,540,397,
800,813,565,071,642,303,348,324,925,965,531,013,904,696,259,492,163,018,972,
644,144,644,923,397,245,116,271,536,291,266,027,653,163,229,216,085,398,844,
376,448,488,634,331,729,459,766,464,158,872,365,513,724,999,804,216,056,162,
361,994,802,199,056,365,283,960,661,983,435,790,055,650,269,339,877,294,734,
818,469,598,365,047,405,536,882,419,894,564,838,100,210,155,516,240,721,244,
762,357,490,716,087,006,639,475,138,486,434,120,681,082,040,581,505,682,732,
211,312,665,927,350,564,752,332,884,548,377,830,823,212,522,252,818,840,652,
353,514,197,980,070,808,733,923,761,909,179,850,837,029,819,413,716,007,796,
736,797,672,792,740,292,446,751,440,546,425,758,419,798,874,239,081,474,125,
040,849,773,128,775,506,023,120,361,008,971,281,693,131,300,826,699,231,611,
806,765,046,435,101,062,190,954,650,645,712,912,050,420,472,984,210,256,903,
545,277,174,656,087,366,451,455,205,084,648,798,093,629,048,020,747,790,132,
757,408,033,227,322,599,846,903,383,208,511,074,757,544,246,752,238,883,184,
826,578,237,650,593,993,544,774,820,984,703,971,928,812,734,026,095,673,401,
528,412,753,197,797,105,604,318,498,706,801,607,992,927,689,071,803,855,128,
267,188,439,946,551,103,700,074,864,207,279,776,440,329,390,334,490,011,085,
646,262,729,723,123,504,084,703,949,717,190,814,551,987,541,924,183,613,973,
653,081,263,641,934,994,069,489,820,389,206,691,286,252,686,406,689,448,817,
612,028,397,576,773,877,684,716,099,305,829,836,342,107,676,527,581,376,091,
112,637,404,181,774,803,000,102,744,185,600,098,580,938,909,709,893,388,241,
441,193,308,462,813,770,712,861,908,008,537,451,777,293,453,401,458,448,423,
285,421,016,866,680,197,175,084,737,206,856,671,965,312,852,536,249,935,917,
013,994,105,292,555,841,412,457,743,090,266,111,133,602,748,674,140,089,146,
922,751,939,514,055,656,679,925,804,367,100,764,042,534,760,151,321,178,613,
956,058,566,470,520,530,254,333,860,287,053,195,547,777,672,145,018,574,257,
564,804,816,178,702,421,231,566,576,144,639,360,670,216,472,024,453,823,584,
289,415,210,064,379,398,332,292,930,437,285,559,603,048,145,212,695,315,637,
810,608,649,979,011,894,244,365,986,770,191,023,388,762,964,372,750,466,294,
997,677,490,593,800,447,159,223,332,824,426,297,572,094,719,370,434,987,028,
200,464,516,022,150,539,769,553,372,218,988,146,325,834,303,448,219,922,879,
927,336,304,989,131,037,697,077,024,805,326,074,756,451,138,709,836,023,873,
690,358,472,608,459,648,353,177,677,848,572,757,607,444,977,957,133,999,322,
351,959,570,899,551,792,590,954,780,131,731,464,076,181,883,121,255,141,810,
793,609,767,003,701,341,480,497,258,748,664,625,171,486,109,992,138,857,059,
644,100,139,815,380,171,751,274,732,912,583,617,232,685,434,803,739,211,211,
529,112,363,638,618,893,881,129,452,476,336,133,830,148,906,388,873,147,631,
339,203,256,043,444,880,556,128,091,218,694,222,151,504,858,967,458,530,751,
111,172,951,204,637,759,104,762,720,258,719,929,578,949,179,652,753,310,923,
880,937,143,244,990,939,720,343,326,600,143,259,439,040,310,882,669,286,376,
917,688,001,469,048,612,414,354,810,416,488,145,115,793,127,532,367,117,495,
818,887,133,837,897,972,886,565,269,492,447,809,339,445,055,764,980,633,992,
843,674,785,640,967,987,693,268,690,608,288,833,559,630,012,275,722,687,079,
515,565,441,632,564,947,971,503,787,249,261,998,454,244,198,618,449,960,820,
872,972,425,754,920,198,746,981,175,703,028,829,967,671,215,650,790,359,877,
502,839,088,375,961,837,180,671,199,533,308,557,930,675,143,609,361,584,983,
405,795,410,753,682,769,600,173,689,473,753,064,630,855,670,514,836,841,089,
845,345,201,282,680,927,693,316,782,947,332,205,160,311,417,476,901,695,808,
154,207,863,169,871,965,549,642,662,048,926,942,948,946,234,832,708,244,740,
420,290,835,427,744,896,776,894,802,985,343,109,174,830,631,867,695,178,601,
683,044,312,538,929,931,482,766,107,154,555,197,424,860,912,558,841,073,106,
428,658,198,632,668,727,586,403,037,818,661,566,957,139,024,785,143,105,305,
704,519,186,785,947,420,257,777,094,163,012,307,663,488,404,185,432,338,068,
852,129,969,146,271,608,579,118,369,666,189,659,399,056,820,257,716,877,639,
480,291,207,897,213,032,661,470,714,861,241,051,522,229,835,493,934,800,445,
952,025,896,361,653,771,948,940,920,658,522,819,124,180,465,006,780,933,170,
633,469,775,070,509,044,226,934,624,041,647,844,915,870,202,451,962,798,918,
036,860,317,038,020,171,299,991,397,267,903,501,575,218,305,916,330,849,442,
175,508,047,442,330,137,076,418,748,538,504,196,655,526,500,322,606,021,170,
082,517,186,606,442,309,745,802,896,042,584,130,138,880,956,521,697,666,705,
209,865,748,886,648,282,868,072,419,417,598,269,513,363,043,631,233,431,555,
302,481,326,758,717,596,271,009,802,607,113,257,695,485,016,284,094,776,296,
477,947,585,337,575,669,353,268,645,820,109,645,342,255,422,832,817,102,210,
652,506,534,557,396,968,352,421,065,839,342,114,233,265,437,054,641,345,580,
313,812,543,385,483,414,970,657,269,328,068,677,061,863,175,985,953,464,938,
471,797,548,067,237,899,790,719,866,167,519,715,277,610,129,216,424,895,473,
635,025,185,972,493,574,817,037,627,127,126,180,938,090,572,674,563,361,737,
799,753,468,243,639,065,908,920,614,739,470,721,824,082,054,309,076,125,550,
059,344,336,511,471,814,310,333,466,868,762,433,622,894,935,289,007,310,826,
879,982,331,047,503,312,970,451,952,101,486,381,342,153,424,790,972,731,892,
221,000,669,236,303,232,338,620,224,036,961,708,569,025,978,643,291,724,384,
343,081,137,521,621,172,996,625,015,198,280,041,486,529,579,777,367,067,556,
649,279,664,762,381,110,124,145,610,304,074,493,548,233,101,328,813,335,184,
056,436,057,969,869,609,760,311,250,746,737,267,820,533,943,971,312,673,904,
608,607,682,758,046,117,606,502,512,269,040,511,452,331,699,111,358,739,184,
474,599,385,843,038,256,489,814,028,387,209,831,812,012,400,536,612,462,239,
358,486,471,011,441,681,432,959,561,548,805,768,597,795,275,935,129,573,429,
955,740,997,568,800,172,460,781,807,618,580,104,437,448,002,960,198,865,824,
346,713,949,404,635,328,281,099,525,541,754,834,727,123,354,908,775,040,527,
123,487,855,264,948,991,011,697,973,998,262,931,207,202,470,327,047,011,379,
791,248,333,956,927,942,327,533,524,464,075,778,001,678,282,684,697,317,648,
222,489,832,779,114,430,446,101,089,384,612,878,033,696,844,515,793,399,006,
669,770,125,621,557,268,478,890,168,991,496,650,689,756,342,789,176,477,572,
135,904,450,114,391,781,338,318,981,929,737,913,659,911,778,632,917,773,498,
290,538,478,679,532,283,136,286,598,808,703,244,636,350,629,967,101,422,874,
392,736,505,554,989,581,378,608,724,749,935,913,873,272,880,033,378,311,473,
665,665,199,218,762,157,719,647,940,086,217,841,404,378,347,552,953,990,820,
334,962,784,025,010,595,874,436,095,860,359,441,864,145,372,294,554,250,343,
668,739,713,362,728,893,717,083,705,707,622,120,776,227,811,723,945,912,802,
009,586,275,008,007,427,112,401,941,663,679,467,773,615,617,421,043,759,920,
998,940,285,035,402,274,378,368,131,851,545,799,758,842,660,594,130,838,371,
226,507,814,258,498,868,393,219,552,402,910,197,620,803,372,212,831,064,461,
710,737,260,413,651,779,647,223,592,975,946,501,165,802,714,892,911,618,298,
019,457,415,993,953,140,171,677,491,562,311,811,136,375,849,441,280,239,680,
020,289,877,537,860,303,444,706,432,403,277,584,482,676,796,956,487,960,392,
382,718,040,145,097,898,649,484,555,556,772,398,209,337,739,559,832,016,682,
988,468,055,920,957,314,693,490,939,804,511,048,312,386,467,574,274,499,231,
726,640,928,715,694,871,989,907,120,468,855,050,572,858,364,610,337,110,178,
329,790,811,640,137,942,587,891,547,131,162,546,717,310,382,720,060,802,087,
064,846,153,759,349,350,713,916,227,512,221,877,978,417,045,600,827,403,718,
217,997,840,763,121,726,110,962,923,377,754,699,443,640,634,602,775,024,451,
253,856,432,905,182,426,291,056,668,461,907,207,155,956,608,568,714,282,302,
275,584,707,619,478,557,366,963,109,769,656,140,265,843,715,628,714,863,189,
163,022,583,550,891,158,743,167,931,421,666,603,914,852,222,473,187,855,442,
257,758,902,854,292,931,503,661,974,983,600,458,978,829,005,328,565,928,466,
371,405,180,384,671,914,835,714,426,207,695,662,626,094,381,710,205,127,218,
303,604,563,014,837,983,508,252,676,641,923,880,363,365,271,877,850,922,146,
757,533,247,640,649,192,220,898,258,598,485,133,971,048,616,873,026,801,395,
473,321,931,406,972,323,004,504,823,227,513,050,001,279,710,054,189,277,627,
083,441,341,197,821,440,373,382,923,323,773,584,753,532,864,503,020,420,902,
346,638,780,394,675,860,705,310,315,987,808,256,068,874,187,806,487,748,516,
531,433,384,735,762,487,875,184,498,689,712,553,816,388,051,469,857,134,635,
163,074,285,405,234,784,028,659,277,496,568,565,187,251,916,079,022,240,502,
457,962,653,358,591,820,574,709,772,633,019,391,652,397,284,360,089,982,673,
933,871,740,702,227,504,369,079,235,164,449,943,973,799,874,440,442,131,290,
323,785,727,644,857,291,408,937,634,861,099,821,904,352,972,355,061,258,591,
025,512,900,512,393,765,971,970,108,054,579,361,891,718,955,053,685,077,009,
668,758,343,312,743,733,620,286,998,392,783,180,111,061,831,572,463,616,802,
165,605,484,411,802,413,947,783,525,976,586,822,432,783,197,547,882,846,784,
416,601,672,778,375,541,645,970,274,189,804,592,154,816,085,862,931,871,044,
086,366,877,394,055,380,314,967,078,097,669,670,849,811,175,603,570,774,373,
908,965,424,013,102,120,036,684,268,273,801,261,752,672,812,670,490,344,205,
938,638,510,324,393,498,953,742,779,840,075,360,049,824,627,132,034,159,907,
144,698,836,083,015,324,955,049,401,303,925,014,999,031,536,344,258,248,629,
608,978,855,592,689,261,169,762,842,695,699,945,403,096,358,781,403,971,184,
700,365,452,470,964,909,964,807,178,601,679,062,471,570,395,110,440,835,285,
329,945,386,667,379,725,742,643,404,726,158,183,975,267,596,162,848,115,509,
026,567,987,413,227,226,187,253,927,719,553,240,696,313,413,649,929,205,134,
330,076,751,043,648,671,375,424,494,195,885,008,574,781,863,960,961,854,747,
070,312,254,810,934,673,916,235,522,429,322,782,973,844,018,086,238,244,170,
701,092,898,422,603,311,668,788,316,761,072,322,179,437,537,449,194,847,948,
772,641,386,886,081,137,810,238,215,350,663,950,249,579,829,100,951,818,415,
751,939,077,372,469,987,714,075,684,246,730,924,273,727,494,642,547,260,101,
635,294,572,306,782,213,620,736,093,702,793,074,808,550,167,017,815,204,447,
880,583,394,411,957,534,634,956,982,969,317,953,539,756,227,693,422,684,631,
016,979,799,061,102,845,688,150,497,608,169,112,421,643,199,613,375,105,492,
598,983,467,804,390,924,080,850,785,501,403,060,568,647,078,562,808,984,837,
659,202,356,514,142,857,214,037,242,074,730,005,026,383,409,773,023,361,694,
114,886,044,515,534,240,323,434,274,868,998,839,118,819,844,157,438,253,392,
907,482,538,319,264,961,906,047,687,157,946,539,232,794,950,349,779,959,572,
385,659,583,190,728,102,988,570,443,962,059,506,716,273,199,948,176,315,266,
944,695,397,156,573,300,470,688,894,738,187,677,618,123,968,425,844,966,283,
072,929,691,423,768,252,562,448,897,002,006,880,778,133,642,932,245,819,705,
080,189,167,131,934,456,813,362,925,181,045,746,877,651,769,719,794,015,198,
775,696,069,734,194,779,984,445,112,162,759,348,062,809,471,123,926,534,079,
428,222,581,212,089,605,507,213,340,050,941,636,210,399,005,870,837,916,029,
798,988,712,761,791,120,277,575,451,662,911,150,522,479,642,136,865,092,909,
425,931,871,691,640,679,981,299,573,334,998,892,932,195,899,750,199,070,996,
937,509,843,443,768,406,462,061,941,496,460,227,731,185,674,227,205,947,045,
634,101,200,044,985,274,443,918,206,772,451,604,931,492,816,255,162,157,658,
490,942,186,772,768,848,464,140,676,636,531,136,342,548,102,360,032,727,750,
336,306,856,651,657,435,964,736,198,832,859,861,919,879,078,884,004,134,832,
556,263,586,059,172,389,906,184,322,028,261,588,453,507,132,883,566,984,783,
657,471,473,697,488,995,725,166,625,320,197,245,790,260,287,834,439,409,688,
624,959,892,275,334,995,415,948,335,402,296,961,956,625,363,451,534,680,089,
504,162,937,861,801,344,785,129,988,046,369,100,288,557,899,742,630,109,434,
536,581,878,976,324,187,156,599,055,069,790,882,237,690,645,569,417,351,841,
856,637,222,919,381,975,101,149,512,925,422,750,921,853,933,524,339,290,055,
787,119,662,025,744,327,443,599,965,013,400,834,394,276,534,753,827,432,969,
821,681,305,992,803,116,956,855,308,627,374,100,694,203,564,229,087,154,878,
846,611,172,899,790,108,097,227,573,385,701,673,033,764,386,071,654,324,408,
016,200,223,259,786,818,000,553,852,839,696,131,092,454,632,944,373,957,341,
069,290,081,543,294,444,144,968,791,244,082,982,889,311,116,673,103,273,873,
141,502,575,325,017,733,138,680,085,774,084,976,920,959,662,570,775,227,488,
034,720,983,667,686,723,253,838,484,251,470,778,028,248,191,990,380,384,694,
969,099,705,601,988,253,775,567,474,210,493,469,954,242,870,324,118,900,370,
513,484,892,374,401,722,833,523,987,406,516,345,903,022,380,844,278,494,903,
095,964,472,801,424,768,347,519,447,841,915,436,483,150,555,993,149,604,521,
262,398,963,400,049,574,884,713,506,481,946,476,223,061,299,740,557,726,552,
212,561,810,714,068,020,034,184,690,627,757,067,027,626,157,745,402,730,630,
838,663,155,885,592,248,172,096,154,216,956,124,624,555,852,844,797,067,986,
607,595,878,765,755,593,345,403,084,261,309,461,745,712,991,900,997,538,524,
221,985,952,261,353,916,248,084,227,687,202,133,733,671,862,603,398,683,306,
421,052,634,574,474,658,668,735,214,198,313,049,263,520,850,878,541,440,995,
417,175,496,517,957,203,170,415,858,358,621,338,550,541,329,597,323,772,890,
898,204,918,175,222,684,087,877,513,897,311,576,834,402,706,095,482,614,127,
867,462,690,076,975,807,199,518,334,688,272,617,999,624,420,024,374,888,829,
337,553,279,399,049,313,119,636,504,378,880,624,266,878,945,391,456,163,448,
696,940,431,177,602,757,131,374,866,550,843,666,588,786,048,095,515,427,184,
800,028,829,441,610,968,952,313,855,807,349,744,058,234,567,165,061,467,330,
014,312,022,468,884,519,022,722,576,452,516,966,986,199,301,465,638,252,253,
141,051,495,754,208,659,136,694,694,574,056,256,150,343,294,229,697,735,724,
984,676,659,954,092,490,693,037,041,899,621,696,257,517,514,952,248,315,633,
617,734,423,589,661,405,546,363,404,252,124,430,402,500,973,728,196,424,899,
377,679,846,984,096,306,141,183,390,257,388,416,071,543,859,238,235,856,541,
240,447,542,324,786,180,715,030,410,779,352,460,583,701,915,928,273,228,209,
282,160,461,878,346,537,850,961,954,726,943,603,184,259,840,020,605,874,811,
324,818,679,012,722,923,664,245,807,373,389,026,007,854,375,247,785,784,022,
776,266,889,234,008,595,592,080,513,065,175,659,420,399,078,471,314,317,522,
691,048,009,745,012,339,830,142,930,898,820,942,128,893,413,806,273,674,937,
926,122,518,131,054,534,730,728,340,463,404,146,671,665,568,510,155,613,890,
310,925,803,230,300,891,721,809,743,467,990,530,728,511,477,473,294,597,577,
510,317,019,877,241,777,827,396,175,794,089,471,452,547,078,161,391,879,017,
243,091,955,313,004,441,368,827,134,941,363,773,148,335,264,108,314,418,598,
032,523,332,693,727,077,219,575,337,576,172,030,828,102,796,936,299,582,303,
904,438,033,124,048,018,487,833,888,429,534,706,989,108,895,384,635,720,213,
429,632,668,626,423,978,461,842,549,412,876,743,858,398,852,000,440,485,719,
155,649,716,571,420,284,316,656,863,952,047,591,788,663,293,956,448,624,313,
799,591,338,707,254,348,688,768,375,604,549,253,805,402,977,608,574,944,636,
897,018,336,001,238,219,096,549,298,845,831,021,373,922,346,800,537,843,352,
482,841,512,070,330,425,558,319,765,589,301,074,070,310,471,414,863,938,036,
427,916,058,708,212,765,858,934,797,666,387,909,906,210,627,784,840,455,287,
163,052,912,060,722,166,537,484,681,071,247,137,373,571,209,281,613,947,298,
900,188,851,186,004,278,955,483,497,224,491,894,274,636,629,162,963,202,068,
430,762,986,386,916,388,708,339,693,494,816,581,483,287,164,467,316,433,377,
682,777,682,316,558,088,328,615,913,839,859,511,297,502,579,472,084,341,942,
558,727,901,043,274,511,948,968,253,777,680,911,213,207,318,425,671,536,625,
204,369,369,660,881,266,087,312,161,220,617,567,126,293,633,429,558,569,722,
443,411,702,031,118,920,992,276,425,585,386,405,827,383,256,362,138,933,474,
502,983,408,407,920,598,420,531,614,607,256,100,828,684,209,887,543,601,837,
413,524,039,704,799,397,269,533,922,637,966,303,718,202,783,558,866,303,076,
027,692,120,239,171,459,435,048,158,329,389,739,697,939,613,109,482,535,202,
015,909,874,901,219,672,020,496,112,147,952,368,303,583,046,244,818,969,974,
672,480,014,747,029,779,353,769,212,896,908,339,474,995,005,272,261,421,798,
506,595,866,293,634,208,233,054,809,663,442,854,587,863,945,912,046,841,077,
957,040,450,281,145,872,669,676,173,931,194,708,063,743,040,321,770,303,592,
774,451,407,322,227,011,925,298,486,217,565,431,364,126,220,594,912,249,838,
943,092,671,932,434,108,645,307,545,517,812,411,156,933,744,348,055,508,775,
564,482,690,324,144,085,851,666,450,950,050,038,323,786,408,075,473,015,038,
663,587,213,104,739,463,064,501,254,270,966,659,325,483,357,200,128,476,464,
068,772,139,816,729,446,966,483,252,478,117,509,811,260,823,014,785,883,077,
158,028,464,706,343,604,777,551,880,789,141,551,486,637,489,138,760,984,884,
305,762,407,478,244,136,266,878,875,106,039,330,445,671,014,832,092,337,496,
787,089,742,655,782,536,789,377,301,840,251,311,087,327,748,688,323,262,295,
530,185,299,046,991,903,199,948,324,265,554,432,379,255,058,073,819,165,375,
763,419,141,343,170,425,132,430,486,704,734,417,019,430,873,591,630,204,437,
669,325,115,242,373,234,477,740,927,818,015,507,969,127,366,306,961,823,732,
532,396,013,978,616,125,600,179,987,741,343,909,777,781,029,643,711,539,336,
182,413,224,664,490,719,251,308,767,780,834,253,546,382,530,047,527,282,707,
579,916,517,706,418,604,013,377,345,397,605,081,621,255,778,424,799,905,004,
533,614,000,764,451,124,576,941,767,273,368,064,182,173,723,800,672,693,850,
143,929,162,044,796,883,444,217,005,007,817,730,755,073,797,780,341,124,524,
617,150,375,036,399,449,900,964,648,609,451,880,579,601,294,366,824,093,676,
490,239,066,819,873,051,392,137,383,925,611,974,952,767,543,419,931,386,704,
263,559,057,583,907,734,587,733,279,157,526,210,166,200,932,732,847,317,229,
393,721,455,047,359,756,707,939,150,303,026,407,844,538,685,797,007,616,861,
098,293,574,876,938,079,493,364,218,222,153,911,701,223,080,795,143,955,936,
653,018,380,873,819,695,606,586,425,239,973,419,410,562,667,057,052,472,772,
509,591,670,103,296,360,623,222,951,953,257,443,015,355,971,414,936,019,439,
875,506,093,472,430,812,044,034,798,013,903,085,213,231,901,525,316,003,825,
260,144,798,781,089,966,688,120,723,058,142,924,594,391,288,600,609,318,362,
428,405,477,818,166,835,070,404,328,000,688,105,866,987,600,543,073,175,010,
545,561,704,556,139,775,174,004,210,604,976,881,122,818,907,783,777,217,860,
519,123,516,162,917,177,301,354,013,915,905,690,302,694,340,558,029,090,646,
423,140,570,296,467,466,349,391,332,724,508,235,633,778,094,409,038,132,538,
432,799,760,697,677,257,775,948,975,703,782,409,005,465,996,761,512,490,656,
236,727,389,598,230,243,736,319,957,195,034,256,471,227,756,091,249,218,806,
170,079,482,802,838,413,016,120,412,265,814,332,307,849,145,053,115,914,388,
551,096,278,281,637,663,331,957,481,485,616,055,638,700,305,874,523,322,050,
395,932,714,609,613,355,244,131,811,327,734,200,871,402,959,796,187,370,520,
220,975,507,462,809,290,182,341,864,225,703,693,338,721,393,231,430,523,031,
591,141,820,496,895,620,990,713,491,516,556,291,937,942,268,802,112,362,903,
061,132,816,164,407,136,189,993,892,766,251,993,496,998,376,244,249,922,909,
903,450,846,944,697,313,770,952,933,761,546,102,302,581,297,508,444,045,937,
655,755,979,935,850,435,698,460,706,196,313,205,985,426,159,574,555,357,003,
733,463,281,936,092,140,503,263,469,170,060,546,597,338,305,246,043,129,056,
124,485,049,546,762,957,109,379,102,229,832,261,950,245,515,651,821,632,671,
505,651,507,333,810,913,570,472,405,870,724,142,482,627,394,409,704,703,689,
116,378,250,371,189,960,416,771,756,589,960,569,616,376,775,390,293,324,370,
551,866,484,793,129,979,491,814,310,897,719,860,253,579,640,909,336,763,690,
283,001,469,685,763,254,037,385,393,507,219,748,415,027,909,452,717,903,297,
794,227,780,351,457,241,931,852,682,207,291,023,478,733,496,581,137,673,057,
544,218,576,768,264,109,312,142,569,679,080,889,147,619,205,029,339,004,335,
729,558,256,490,892,697,231,039,947,114,402,873,538,468,874,789,260,314,517,
980,492,783,164,151,555,158,838,317,105,158,803,074,566,434,794,327,224,242,
991,046,384,383,443,632,173,929,820,906,198,754,496,876,309,492,406,584,255,
276,945,783,525,577,395,768,297,054,981,093,722,048,914,872,130,072,909,899,
154,668,551,462,447,951,881,486,211,716,070,332,896,367,836,730,466,004,797,
944,949,445,563,440,667,675,525,746,464,556,031,651,804,330,633,013,470,538,
840,534,723,166,626,836,497,219,590,072,474,250,646,954,572,367,594,865,936,
320,866,479,570,482,490,694,436,999,363,160,051,850,284,205,474,870,327,420,
180,207,955,054,047,883,392,444,456,197,548,211,402,257,122,469,707,680,212,
012,155,027,261,196,970,570,981,342,630,527,507,060,662,423,118,578,410,876,
419,824,579,338,787,488,520,656,333,822,404,510,359,454,836,680,803,525,318,
007,279,862,167,505,328,103,519,863,075,121,806,691,691,047,797,164,703,989,
782,463,155,659,427,505,564,816,310,599,342,619,669,438,233,347,270,030,998,
540,065,848,110,171,876,360,830,985,955,778,934,184,042,586,215,747,101,649,
135,463,504,310,162,298,894,459,312,854,259,521,353,853,968,785,055,230,750,
759,086,442,878,613,824,201,345,797,590,685,815,074,029,886,837,639,179,122,
535,980,872,352,664,623,277,418,568,151,705,102,585,669,523,311,220,884,759,
772,541,939,621,825,091,235,376,614,052,477,970,708,765,849,159,855,256,124,
647,344,005,679,158,540,762,443,831,213,433,009,986,536,006,536,296,982,979,
230,299,044,179,613,954,824,998,780,130,589,039,117,161,049,686,649,401,218,
351,540,543,701,070,134,566,483,785,616,051,137,377,449,325,757,735,156,943,
356,205,378,810,234,061,377,174,829,014,082,342,904,829,610,748,175,609,802,
160,667,204,948,210,649,796,589,558,022,392,989,725,335,673,544,260,980,706,
909,690,533,367,262,763,742,008,034,722,138,961,194,731,400,207,191,416,242,
292,738,555,412,899,815,524,801,082,112,292,125,132,019,054,799,639,101,331,
608,243,361,671,359,579,412,905,243,705,965,645,165,023,471,493,563,318,893,
534,901,362,770,978,357,175,748,088,130,532,113,000,632,548,219,045,378,200,
145,380,013,559,073,517,225,223,478,761,727,071,132,604,918,936,350,366,264,
043,539,133,502,626,631,322,575,393,007,518,924,156,021,946,221,507,637,340,
746,779,396,973,978,595,424,878,764,696,532,900,657,868,867,823,400,129,616,
518,756,965,022,578,720,695,359,343,574,822,971,947,977,398,982,669,141,660,
888,010,200,358,841,006,417,737,732,837,409,189,427,327,293,257,833,529,385,
406,873,687,293,467,764,020,231,966,544,292,572,995,215,060,150,432,209,312,
731,118,716,481,957,319,537,331,618,723,128,853,338,648,776,082,896,257,523,
269,689,416,224,363,175,226,335,896,925,167,189,519,220,092,544,600,668,661,
945,932,950,883,581,045,786,992,041,152,723,256,283,881,389,593,579,034,072,
551,948,121,250,852,509,823,520,756,055,142,744,592,631,637,945,182,478,256,
975,875,125,098,498,352,219,605,818,165,624,285,356,310,939,770,767,795,207,
880,116,288,960,979,611,825,533,749,455,734,494,713,254,159,519,231,397,989,
567,573,029,770,049,488,630,349,912,447,151,496,888,000,782,981,624,622,727,
766,930,362,885,932,383,847,168,309,310,301,916,249,659,770,961,481,920,293,
136,037,949,843,503,125,447,735,201,340,943,086,625,036,912,904,363,508,716,
585,429,985,700,600,755,042,148,697,598,621,974,289,749,530,544,251,444,404,
182,934,448,724,215,324,713,979,041,814,922,967,100,174,939,644,407,874,483,
890,412,347,324,122,440,123,603,600,598,416,945,742,124,398,725,032,751,497,
106,712,759,405,469,339,276,523,241,117,655,332,292,723,692,468,970,927,855,
662,435,610,889,011,419,225,089,816,143,788,161,264,941,233,317,032,929,108,
606,696,157,032,537,577,888,070,990,726,011,623,203,678,333,225,471,540,480,
707,484,522,985,395,402,657,355,136,866,130,666,079,422,498,860,134,654,222,
398,399,537,672,011,836,115,583,896,298,708,021,282,598,015,785,624,296,909,
888,330,441,859,705,273,647,656,134,321,079,617,313,446,507,255,756,199,435,
790,331,051,815,504,628,128,911,027,971,737,874,478,377,643,862,899,187,732,
469,647,861,980,446,478,324,910,213,360,528,556,852,461,231,123,165,188,899,
774,053,419,302,294,643,566,284,038,695,999,714,843,801,886,194,606,763,362,
363,123,807,886,804,764,673,520,828,046,501,163,680,077,649,635,612,460,761,
225,279,533,131,096,882,469,960,930,298,500,849,059,888,292,324,838,758,430,
375,374,059,155,406,668,832,786,837,391,009,347,247,908,735,936,270,839,500,
450,548,627,283,230,723,184,771,022,823,570,953,225,530,292,238,721,831,680,
411,238,587,768,404,511,373,736,659,109,227,871,168,280,045,778,971,079,954,
451,511,872,277,889,161,329,320,826,847,586,940,444,332,106,472,989,345,286,
032,609,398,954,265,814,953,731,272,038,882,966,936,438,514,091,491,968,565,
965,842,984,904,748,433,478,167,943,082,431,531,685,794,318,785,766,322,608,
824,125,069,544,496,133,256,521,975,929,015,476,398,030,439,306,640,725,929,
778,437,870,729,994,668,651,137,440,197,295,086,683,145,156,946,260,537,932,
932,575,584,812,026,702,294,527,674,160,452,016,371,179,675,575,414,224,526,
178,167,802,604,158,275,763,605,522,563,590,519,799,706,120,555,454,478,939,
783,200,223,106,776,851,261,934,349,496,541,369,628,204,153,053,323,982,057,
688,148,884,860,539,321,797,419,562,930,600,224,358,881,233,385,308,497,163,
408,197,220,704,720,780,275,905,918,216,539,836,876,980,828,790,050,510,162,
871,900,018,084,976,703,162,452,815,769,665,926,347,474,541,772,026,819,127,
090,259,115,893,059,090,758,645,898,827,183,809,111,842,763,991,122,504,500,
367,174,934,808,507,457,622,358,630,787,257,463,436,766,280,928,299,564,067,
124,113,862,042,863,917,496,786,110,735,842,713,606,467,611,801,300,945,051,
133,504,910,303,559,895,176,299,395,605,542,510,679,226,137,310,987,698,484,
613,726,180,957,943,691,142,753,119,631,651,435,450,379,064,197,741,285,155,
006,987,816,831,439,895,904,341,509,531,408,287,833,179,457,330,852,924,455,
519,177,839,673,851,473,965,090,916,065,684,237,116,799,710,409,275,239,235,
818,352,540,466,759,083,231,425,868,079,530,747,198,426,384,769,604,650,151,
320,482,417,150,706,946,241,763,014,670,707,584,589,841,171,109,447,423,864,
780,582,186,165,642,275,332,881,459,796,768,366,182,409,549,139,408,353,091,
785,345,192,496,270,468,329,952,188,442,223,805,738,828,365,402,755,308,294,
400,403,606,373,221,001,084,685,301,656,488,247,970,194,960,595,640,918,262,
330,087,410,395,562,126,454,720,308,402,175,194,671,730,238,537,551,227,797,
112,600,329,331,430,294,834,798,099,826,130,329,735,155,742,443,627,917,892,
124,820,465,354,131,883,601,976,385,975,091,480,147,819,119,495,983,916,664,
573,243,936,299,745,441,785,761,951,524,641,577,546,649,882,954,551,904,864,
184,398,496,522,197,897,265,815,226,692,041,227,721,360,209,256,332,707,295,
159,918,715,699,279,354,711,578,607,471,310,458,515,550,546,742,490,939,887,
630,344,205,909,493,302,563,466,020,133,007,397,238,799,398,218,268,398,267,
348,727,259,887,662,646,919,678,649,871,056,325,808,004,806,915,187,935,659,
132,870,017,435,523,458,412,888,468,815,649,952,553,698,737,940,144,223,717,
136,287,848,412,578,751,355,469,159,151,076,304,023,665,062,047,647,580,232,
977,423,051,717,540,437,817,441,130,850,347,135,715,054,839,235,791,100,901,
346,304,945,920,281,057,005,042,771,929,839,287,715,095,598,044,293,969,970,
303,395,811,499,239,470,259,222,560,060,782,809,242,472,202,609,209,875,497,
125,300,171,994,945,586,947,417,010,096,807,867,671,662,259,617,427,338,611,
458,666,835,461,773,504,296,754,080,019,605,333,602,531,980,802,021,036,608,
762,266,073,351,996,870,478,481,632,333,774,461,650,125,128,627,118,338,135,
987,419,399,046,857,707,134,724,521,907,992,104,049,175,827,123,405,866,492,
974,767,684,934,836,512,592,373,830,072,485,588,617,392,733,894,405,548,800,
540,979,439,614,516,656,324,223,441,769,041,619,167,928,168,925,341,693,566,
451,698,892,227,830,644,545,300,954,090,617,825,424,354,509,720,080,140,590,
093,375,505,949,325,717,129,254,228,030,829,047,732,794,973,417,111,619,887,
621,114,138,766,374,346,891,509,897,935,537,698,842,776,539,751,119,417,789,
447,983,329,516,996,868,517,827,787,338,149,464,624,690,084,619,221,716,117,
041,115,274,031,453,556,181,105,830,888,987,650,068,661,753,843,012,615,784,
575,163,172,101,518,171,901,119,236,186,075,174,516,831,891,292,336,065,262,
172,228,457,540,608,884,365,503,194,786,206,877,734,478,160,617,690,164,931,
879,244,127,512,604,601,529,453,072,742,387,875,209,389,428,843,291,353,701,
053,521,490,907,578,565,319,441,527,880,636,547,867,678,572,523,855,242,364,
232,365,469,479,402,546,295,469,367,144,456,399,593,580,479,184,154,196,475,
343,943,732,092,172,860,359,244,466,062,706,875,462,263,410,937,230,015,665,
403,871,795,682,315,737,434,740,497,113,216,669,663,758,370,824,632,444,750,
573,794,304,881,440,739,255,579,570,275,761,103,605,797,932,974,006,809,750,
467,352,127,807,411,712,632,562,275,686,443,619,823,992,188,244,765,949,284,
818,867,552,226,679,079,871,124,784,112,978,472,198,340,712,626,850,166,777,
579,886,689,374,711,435,893,397,274,047,831,438,067,226,720,808,475,397,354,
497,731,032,371,264,245,123,627,620,953,977,643,308,276,907,485,748,906,085,
438,735,179,356,164,534,501,012,974,125,850,074,712,839,400,369,323,630,137,
555,065,539,438,055,824,005,557,878,409,500,805,657,512,535,130,594,993,640,
598,710,050,486,554,172,648,847,216,275,113,678,406,119,073,962,775,850,476,
174,620,256,773,693,544,027,887,533,783,573,618,021,760,653,289,841,104,681,
534,247,513,632,820,624,855,522,526,363,442,124,664,394,749,281,641,292,191,
311,190,107,103,535,081,880,379,040,808,027,083,125,052,824,722,872,412,941,
833,371,842,086,530,310,007,577,898,177,191,630,615,463,758,874,208,670,596,
087,992,428,104,148,656,439,258,269,454,490,620,659,817,922,427,003,342,476,
909,128,501,977,076,690,457,835,196,147,649,396,703,391,158,545,969,452,932,
259,025,544,294,542,133,827,899,458,479,631,002,329,097,104,336,679,771,417,
473,403,189,687,187,519,774,756,832,769,044,964,212,510,868,078,632,142,534,
702,281,347,767,234,230,757,645,586,767,203,997,028,508,548,353,056,383,390,
828,589,079,504,540,533,177,979,211,258,086,782,342,068,839,900,841,705,270,
475,349,254,671,359,352,417,643,103,765,219,889,044,373,017,934,179,081,583,
754,973,707,149,132,748,243,697,386,527,528,744,812,530,398,435,875,230,093,
223,396,741,076,694,093,324,249,485,111,878,882,046,905,037,197,455,402,585,
821,236,851,250,464,783,658,940,066,732,898,438,982,918,258,727,144,591,526,
793,485,847,345,699,345,117,301,595,285,464,952,837,847,763,026,108,811,814,
454,245,207,181,336,801,211,242,541,307,086,421,600,344,980,218,053,983,806,
521,008,471,503,562,258,015,086,078,751,750,797,681,517,869,928,870,651,800,
702,130,888,809,846,032,753,448,017,223,631,383,221,382,852,167,368,052,173,
368,662,195,202,809,744,847,392,770,682,773,025,160,944,267,782,215,926,435,
700,298,590,660,993,880,003,185,862,163,737,438,500,934,857,749,516,615,511,
488,131,159,373,031,966,652,456,736,918,868,271,644,965,023,152,229,523,682,
119,713,445,196,469,136,502,319,838,543,529,117,289,338,618,042,426,874,741,
962,268,083,355,905,359,698,858,696,484,725,205,847,710,430,574,921,586,647,
149,343,074,660,448,188,328,635,209,558,444,428,611,023,290,487,879,247,528,
695,733,090,434,936,930,481,147,788,254,474,644,755,474,936,784,253,099,765,
071,092,134,234,145,896,378,288,022,369,710,131,337,416,450,925,838,685,536,
831,391,589,975,751,663,176,758,800,360,893,120,408,653,607,488,697,481,306,
707,124,683,046,614,405,104,741,617,846,448,235,625,784,992,368,779,833,944,
297,765,742,251,928,443,217,080,590,698,763,600,852,175,157,037,907,026,612,
178,099,724,319,860,074,480,360,753,735,396,102,151,591,068,231,011,670,867,
353,558,448,600,027,630,035,034,761,662,220,593,565,592,679,025,723,622,939,
082,549,099,044,016,463,128,850,012,872,897,878,648,900,549,360,218,430,661,
345,311,539,955,578,948,224,283,764,679,420,295,062,016,709,109,940,352,235,
721,795,435,300,557,445,242,143,403,811,002,154,292,861,497,529,098,934,193,
129,024,333,145,824,845,541,978,064,438,777,667,491,010,456,818,910,707,919,
254,936,937,500,031,931,640,156,125,774,702,335,728,467,873,220,837,171,878,
043,850,072,321,496,447,371,387,735,995,289,596,699,539,667,984,763,947,247,
995,613,381,483,751,842,344,657,230,318,021,604,693,155,879,276,458,213,871,
698,860,599,276,477,573,025,183,246,032,387,715,674,608,130,728,526,957,736,
525,692,727,716,944,107,078,873,770,058,135,230,940,797,312,197,224,016,227,
545,295,344,036,844,469,182,346,451,795,646,917,676,990,584,918,953,248,254,
457,889,293,490,275,805,031,970,917,316,719,442,575,257,645,216,180,081,215,
400,881,851,259,545,117,015,268,096,172,290,517,050,045,892,270,909,864,507,
331,029,609,748,973,931,408,849,324,396,787,228,445,705,579,728,549,199,700,
002,492,062,361,053,590,500,333,726,206,431,607,079,845,637,605,486,845,059,
090,735,144,979,250,583,331,743,541,698,433,639,253,412,922,504,773,821,991,
538,760,937,806,592,438,160,138,002,278,615,620,009,176,937,858,283,723,446,
068,632,207,050,213,434,268,846,154,025,238,630,217,571,546,854,854,526,414,
271,941,119,718,554,996,540,789,778,684,179,054,169,394,206,680,185,071,905,
688,098,402,738,050,525,420,891,098,366,378,520,970,326,668,640,889,227,907,
049,087,098,710,923,532,419,602,223,199,698,326,595,872,840,543,490,770,509,
443,478,322,412,648,205,446,145,901,435,273,947,908,419,199,821,820,355,973,
901,274,702,622,276,159,783,731,683,527,566,952,600,259,089,828,869,168,837,
877,881,440,451,034,591,040,201,596,164,140,894,891,765,257,060,024,114,576,
055,200,094,446,477,626,017,761,238,359,630,905,765,621,845,423,444,451,955,
983,395,343,167,381,310,978,206,209,816,134,368,686,266,530,291,928,481,815,
190,267,767,980,902,004,806,508,500,309,779,935,365,606,069,067,433,333,135,
490,435,568,105,198,136,071,518,952,579,498,250,349,612,100,352,567,731,378,
355,561,234,642,059,118,301,012,269,560,573,046,295,525,857,713,073,807,217,
963,142,301,675,065,094,736,943,086,997,880,325,180,091,592,615,853,182,223,
664,192,449,248,429,176,152,004,555,405,846,275,134,032,625,401,295,768,031,
980,970,750,115,433,590,516,726,134,082,581,123,573,078,812,978,534,936,358,
925,667,058,358,719,009,417,213,561,037,434,845,702,960,459,872,348,493,137,
871,377,580,056,219,708,670,575,413,718,561,235,830,238,257,210,017,450,212,
025,420,229,396,953,729,959,682,647,190,299,161,541,268,313,141,999,574,626,
935,424,179,469,720,937,228,782,173,024,675,516,593,818,179,752,327,147,536,
531,558,845,422,495,145,541,197,108,614,986,183,713,845,474,714,853,325,924,
898,208,232,603,319,780,355,615,791,037,101,810,101,908,548,888,654,729,884,
740,505,927,708,003,917,877,661,569,947,718,510,709,119,433,796,224,482,378,
774,857,164,259,858,206,474,999,704,201,138,295,338,346,011,582,015,884,238,
261,049,167,214,088,579,596,522,510,985,272,511,827,951,353,284,786,054,590,
129,865,826,429,980,145,615,114,187,497,590,897,694,452,147,281,139,864,590,
446,195,651,115,818,045,531,529,131,021,052,178,589,618,862,401,886,308,601,
716,354,752,356,508,293,801,866,598,181,431,549,313,087,112,484,736,268,105,
058,516,182,201,874,115,854,729,674,078,944,810,127,901,346,652,031,689,737,
844,973,606,846,911,676,377,248,173,417,060,631,722,223,816,104,216,762,828,
925,972,325,134,022,998,334,814,629,199,679,119,508,219,477,136,843,635,415,
291,751,791,571,828,258,330,066,854,709,171,508,961,469,333,474,943,678,224,
602,478,695,953,433,263,921,432,435,067,396,077,266,211,754,669,813,066,157,
341,885,829,452,936,968,198,501,994,067,225,174,018,734,549,456,421,965,397,
248,664,562,200,785,439,036,474,059,341,755,221,785,705,305,312,992,450,661,
622,282,948,357,331,832,417,062,961,011,323,054,241,946,543,290,270,493,251,
594,875,238,196,996,366,779,671,729,822,288,254,756,649,386,975,151,734,268,
944,287,623,552,697,229,409,236,019,443,764,806,752,840,130,804,375,870,658,
606,734,381,741,884,181,467,212,567,555,146,753,660,007,225,478,944,771,659,
669,819,020,895,201,468,737,065,355,930,203,326,060,712,864,535,173,479,980,
561,840,122,914,669,805,125,466,907,100,171,846,733,823,169,743,473,659,762,
965,413,421,666,740,293,198,602,785,008,171,748,290,663,920,462,945,348,713,
743,237,117,584,763,320,674,106,514,539,625,947,115,698,127,575,941,126,281,
780,918,966,820,060,165,775,451,443,834,854,740,313,737,422,579,465,384,821,
002,982,480,117,269,731,923,860,822,204,487,526,846,290,663,509,559,412,413,
207,095,641,168,747,927,673,812,593,031,631,869,657,223,127,805,881,865,468,
480,930,857,020,243,271,045,049,337,493,970,852,088,311,997,885,687,775,428,
461,812,501,190,213,894,067,622,224,898,899,783,718,615,060,931,390,491,937,
579,641,523,806,906,224,802,139,973,801,019,873,363,915,579,933,166,373,147,
982,293,230,949,654,641,521,089,559,865,071,303,397,830,884,769,070,246,145,
806,173,836,191,632,134,755,748,852,715,572,418,840,105,274,679,207,637,231,
822,266,679,048,485,993,450,470,643,617,111,268,033,491,434,025,835,620,194,
389,440,010,175,917,681,969,968,388,699,274,770,083,980,759,381,069,984,863,
328,241,905,783,404,450,626,743,864,334,293,596,954,870,343,058,382,731,329,
634,855,013,384,138,103,867,784,600,360,208,542,250,771,643,969,783,327,428,
219,239,779,514,375,377,499,848,403,072,752,715,693,580,652,536,093,512,804,
344,949,510,053,448,809,438,073,561,053,295,156,986,612,623,329,653,182,536,
064,782,487,212,698,657,605,119,310,538,587,848,988,033,024,150,993,880,184,
526,580,612,787,965,884,130,234,292,603,156,654,074,828,490,919,338,811,837,
735,294,134,776,708,296,232,004,064,848,772,027,022,578,992,412,316,221,288,
962,457,912,145,162,269,515,821,725,060,642,664,412,182,335,928,845,405,563,
673,218,425,806,215,197,835,797,947,894,672,397,237,755,383,199,006,234,925,
609,003,936,118,146,725,611,841,413,351,627,377,112,554,961,936,156,989,944,
857,041,481,452,896,546,998,170,100,180,763,306,996,354,683,686,818,393,002,
071,915,678,192,865,234,107,206,279,285,878,525,596,416,508,745,942,013,888,
770,815,767,970,496,207,274,615,761,222,887,596,556,215,477,732,431,324,400,
816,673,740,066,961,337,305,120,004,721,065,539,702,512,693,155,008,663,477,
777,907,954,692,236,544,521,939,694,555,685,922,617,910,097,299,028,064,636,
695,909,189,607,351,403,368,546,995,583,998,580,770,723,177,087,238,750,646,
115,444,903,406,406,068,053,524,070,164,010,701,717,315,967,176,750,780,075,
606,256,326,654,895,163,173,678,632,185,928,789,096,539,201,920,794,561,703,
631,673,250,531,242,818,772,590,238,890,427,414,502,245,639,591,006,960,330,
947,166,481,559,325,698,059,024,648,261,866,797,527,325,770,764,376,792,408,
560,609,246,311,933,653,428,035,074,616,557,636,408,527,804,069,241,846,941,
461,516,483,564,837,257,492,187,178,207,236,752,052,422,728,141,886,771,877,
322,533,939,730,145,680,111,466,733,406,986,751,156,627,131,548,846,591,206,
064,194,888,271,789,836,761,097,538,425,615,113,946,018,869,305,486,576,025,
033,089,679,752,632,325,998,600,707,584,506,647,607,593,779,979,044,683,391,
732,384,291,081,950,457,210,186,612,913,997,669,117,167,794,428,384,389,450,
082,368,440,947,110,515,368,054,586,443,682,723,106,465,312,987,701,392,680,
710,357,901,090,416,888,694,724,233,113,270,603,139,736,537,491,762,974,799,
667,740,506,427,518,561,254,701,383,679,500,485,824,851,251,654,860,473,406,
353,008,939,246,782,348,794,191,823,202,800,285,438,907,203,449,872,264,156,
299,087,257,128,138,073,830,304,251,137,107,476,461,333,801,238,242,425,579,
402,739,985,970,170,141,048,541,236,236,248,731,090,839,536,390,359,285,124,
083,452,525,545,009,710,855,222,289,422,660,963,785,439,470,641,894,680,350,
901,098,643,111,025,097,800,735,683,804,933,722,534,643,142,649,665,789,951,
099,694,046,034,653,589,051,122,780,205,018,250,917,955,775,748,986,169,913,
599,962,347,312,165,473,164,716,073,929,259,783,730,060,894,639,675,189,517,
321,729,505,856,032,187,857,422,284,056,756,143,336,306,678,369,311,211,365,
868,746,396,797,967,826,427,703,264,994,786,861,428,435,525,415,977,664,473,
034,259,892,327,228,590,027,130,850,690,924,083,833,666,880,096,021,212,003,
058,058,776,809,505,413,966,442,010,751,214,099,345,683,038,580,869,109,515,
777,414,582,302,133,023,428,683,839,801,672,492,885,789,032,384,870,092,650,
073,094,007,295,227,343,236,209,190,381,047,902,546,205,322,178,367,782,268,
456,188,690,314,535,980,388,303,775,685,271,160,054,730,903,978,454,253,919,
514,998,976,532,919,441,068,165,676,655,795,736,918,132,289,527,802,982,978,
518,450,463,477,347,704,905,623,791,308,672,710,595,454,174,303,150,684,428,
846,171,104,989,871,882,484,080,541,739,310,053,444,080,872,888,935,873,877,
096,949,082,217,338,600,708,108,862,499,491,428,744,642,146,304,430,451,549,
189,378,630,239,850,178,527,227,272,154,955,967,894,467,610,531,649,253,496,
274,795,236,468,999,681,108,752,702,732,169,648,239,176,049,304,466,944,007,
219,587,983,150,697,651,770,759,870,708,329,032,024,682,964,750,016,436,918,
644,830,805,167,862,400,421,446,936,219,003,538,187,841,132,223,474,177,544,
275,330,606,610,846,403,838,624,749,873,891,383,129,457,938,160,770,541,801,
865,514,882,985,142,636,132,680,430,549,496,906,246,708,843,245,317,485,796,
791,759,066,200,108,525,359,339,134,151,504,809,852,268,283,246,832,056,666,
884,768,256,414,150,840,654,706,756,851,684,239,592,676,127,483,184,631,946,
452,903,724,252,745,869,132,820,543,035,801,582,459,517,441,897,914,503,064,
306,242,152,322,395,189,743,729,709,875,994,107,774,098,221,926,420,520,244,
919,360,989,071,266,730,488,259,993,924,187,694,609,578,998,114,730,416,156,
300,180,033,892,629,409,784,283,883,315,078,007,531,135,147,777,884,378,428,
360,899,433,978,655,616,465,873,486,574,600,084,688,656,426,564,269,599,338,
399,489,479,974,258,394,918,307,074,529,783,983,499,048,397,858,310,333,181,
494,409,117,296,805,108,948,556,265,698,264,734,910,125,322,240,004,885,967,
861,153,060,960,103,650,262,184,526,273,698,772,408,249,342,650,825,403,521,
501,721,459,130,435,471,206,929,303,485,641,059,762,058,286,526,032,799,394,
213,849,274,248,437,030,016,126,196,353,989,841,259,928,163,870,944,831,270,
396,935,112,489,519,595,246,072,154,568,834,380,339,445,371,649,690,202,995,
536,369,125,367,946,875,686,227,143,346,110,778,383,490,015,434,340,869,396,
998,205,054,237,959,695,936,585,276,054,168,897,110,401,971,324,959,208,860,
720,591,433,772,868,945,089,605,444,189,304,227,567,011,638,126,035,122,865,
925,578,197,793,575,325,618,181,076,477,650,840,372,203,673,806,421,991,061,
922,629,942,146,110,943,545,678,040,721,034,604,989,548,736,351,585,416,098,
932,038,658,054,247,702,930,963,676,242,122,464,918,417,300,721,763,779,772,
080,951,345,382,706,679,537,512,056,391,323,020,336,907,914,253,494,652,524,
091,811,744,210,698,473,896,904,442,245,344,942,849,981,650,426,189,143,353,
747,260,703,024,387,923,040,590,916,832,966,044,603,352,365,477,308,993,057,
444,828,911,043,825,115,139,414,394,518,002,980,178,991,609,950,778,903,228,
619,305,551,146,447,056,016,787,883,422,778,146,121,677,517,834,970,172,847,
726,419,048,442,386,577,470,657,446,817,171,522,791,491,597,937,437,466,609,
592,316,701,946,166,142,344,522,039,889,626,424,434,062,044,278,424,048,885,
205,702,625,755,094,381,240,153,524,999,147,701,442,893,051,122,477,581,752,
420,233,358,124,151,787,969,372,807,211,657,293,394,925,005,603,111,568,671,
769,294,820,050,678,682,385,912,078,246,275,598,806,064,988,191,603,612,919,
669,827,406,540,997,292,423,380,194,751,263,983,348,788,934,024,076,628,210,
894,252,205,869,790,979,351,393,203,497,851,754,803,685,534,950,528,929,064,
658,727,810,100,945,237,332,105,967,526,663,226,310,363,222,619,095,476,612,
857,382,059,802,341,983,837,311,570,066,122,696,280,391,860,718,865,176,434,
191,650,280,995,327,725,695,151,283,901,268,316,474,348,769,903,903,937,486,
835,197,408,804,860,535,072,166,090,764,241,862,698,527,869,896,187,204,976,
113,935,315,044,163,077,320,182,571,730,887,448,603,748,425,271,711,935,820,
347,962,024,975,725,113,870,302,089,797,675,334,651,258,176,270,887,673,463,
662,377,358,440,317,351,358,618,273,178,393,729,412,370,606,830,356,399,506,
887,957,324,550,960,966,131,244,264,869,158,217,642,300,818,310,025,639,179,
092,517,654,961,381,780,434,006,302,194,981,544,682,315,121,564,188,697,742,
201,942,603,048,678,995,145,730,845,085,737,501,058,910,447,936,426,275,663,
672,230,014,826,213,254,576,713,500,868,880,173,090,567,149,756,626,231,444,
002,394,015,385,521,694,165,871,263,451,340,127,897,325,881,240,493,216,357,
745,438,363,670,397,627,407,069,322,231,964,240,228,198,357,897,685,455,271,
455,362,606,841,128,395,832,736,605,790,498,601,458,439,054,409,127,574,988,
974,150,506,788,404,738,950,414,071,553,454,623,101,988,971,144,576,226,832,
785,312,826,110,651,450,511,890,840,547,437,901,451,741,620,734,133,520,331,
265,202,357,648,916,282,863,104,002,049,628,133,926,328,575,341,611,987,978,
897,691,744,802,879,576,411,055,312,304,672,506,975,606,748,717,283,492,457,
520,112,952,881,717,153,613,427,782,264,017,304,777,525,509,874,076,143,934,
464,069,486,457,974,744,910,673,095,433,718,624,908,807,816,872,214,091,075,
620,406,227,754,665,315,359,289,917,867,413,137,588,184,481,428,450,259,307,
151,507,416,404,110,050,860,302,093,946,334,988,360,721,437,613,538,724,060,
957,197,064,924,511,398,959,307,660,274,537,756,048,633,136,763,300,640,246,
061,101,513,463,631,412,425,131,904,524,026,601,196,157,076,954,035,328,235,
726,755,478,856,041,851,322,995,151,564,830,615,850,852,623,414,659,457,711,
102,039,040,522,331,277,528,802,471,406,427,549,895,247,153,297,823,964,873,
330,911,265,217,646,494,524,467,615,251,361,276,839,298,857,950,056,711,940,
360,224,857,499,606,710,019,972,227,608,074,587,115,670,297,669,106,750,793,
879,543,536,549,692,409,343,161,683,603,038,985,261,252,275,856,620,829,427,
863,231,761,569,689,961,585,599,535,177,900,799,088,817,401,350,292,362,887,
476,895,593,829,428,083,487,116,727,881,012,355,515,270,696,894,114,271,678,
021,318,134,046,751,429,586,272,959,700,934,520,973,626,463,905,342,034,745,
512,749,040,988,816,233,176,119,567,961,444,163,776,732,168,491,698,736,626,
363,054,071,867,402,776,501,753,176,965,616,856,167,690,989,286,103,726,953,
407,395,010,867,519,357,311,494,297,347,472,808,578,000,457,662,214,834,974,
675,330,880,193,010,954,477,273,904,031,921,867,036,388,364,311,499,914,768,
427,368,349,187,851,831,755,961,884,242,306,594,189,970,584,131,616,529,363,
914,292,236,441,398,576,594,983,103,296,000,076,670,414,325,667,314,154,348,
058,571,847,547,168,767,986,758,355,028,520,994,910,851,939,011,604,820,059,
633,531,573,690,425,997,628,872,133,271,389,595,772,542,373,933,168,148,078,
996,048,926,211,587,036,344,957,598,726,083,560,780,776,047,607,493,829,344,
632,548,527,541,803,999,938,866,013,657,085,114,675,462,696,116,183,120,302,
658,916,728,030,926,904,666,732,410,506,494,970,645,056,754,185,378,044,855,
947,103,915,312,908,749,782,663,929,735,432,031,244,329,839,357,169,969,295,
340,164,538,571,394,693,060,236,970,965,137,940,593,160,759,024,481,848,972,
184,555,743,646,921,676,509,809,771,854,025,721,587,706,548,198,047,795,141,
618,718,550,253,269,868,579,063,616,939,176,615,029,265,105,566,133,515,885,
728,209,004,815,298,611,238,191,188,258,851,814,471,205,994,987,634,045,463,
011,593,815,850,326,927,998,504,215,870,707,634,848,996,541,266,821,262,942,
399,404,401,240,627,814,464,867,106,110,124,568,776,341,546,650,372,532,235,
659,025,443,024,136,558,952,244,509,193,138,118,360,796,529,082,835,651,561,
146,778,254,063,515,100,704,244,141,186,870,441,742,484,418,568,413,336,564,
498,820,557,196,734,174,823,497,969,030,416,572,625,739,377,017,406,286,940,
619,541,027,823,096,318,688,989,073,751,393,608,212,076,990,172,819,738,056,
297,363,043,795,094,961,085,765,508,568,447,207,697,967,890,082,843,580,031,
675,889,973,368,668,940,114,136,728,344,794,249,791,686,333,769,780,976,801,
383,497,208,606,098,874,368,819,974,883,998,030,257,124,605,284,042,532,274,
606,184,565,156,500,807,925,829,038,610,906,756,240,477,206,764,524,455,855,
754,238,752,434,939,947,961,820,202,199,864,272,702,947,725,628,904,852,792,
166,826,033,640,027,725,004,951,174,639,015,022,884,183,314,638,058,555,273,
200,876,866,861,093,783,967,645,593,447,024,677,447,366,545,471,809,258,875,
192,158,491,407,313,074,700,504,337,844,133,846,274,052,199,996,976,663,420,
316,719,477,939,005,005,370,827,757,333,055,706,187,903,463,767,608,706,235,
251,840,895,288,485,711,050,075,813,082,398,173,035,044,059,368,103,161,601,
075,194,337,354,071,549,043,626,700,487,686,345,249,431,677,911,014,897,470,
898,751,894,805,009,805,232,172,562,482,620,334,013,780,221,788,944,848,381,
502,024,522,502,993,100,574,132,187,795,503,374,528,069,620,969,536,330,730,
015,440,337,580,233,703,946,506,273,061,796,711,283,314,124,477,662,010,220,
834,116,825,224,247,837,798,923,361,478,617,808,381,346,176,241,809,490,069,
990,283,324,692,837,982,179,442,456,029,569,261,419,805,448,171,943,286,232,
868,450,766,946,434,347,138,632,384,836,506,841,006,077,753,634,342,184,617,
474,250,722,620,956,508,940,263,220,352,649,853,433,581,904,604,772,565,795,
764,558,839,247,417,782,909,433,298,137,659,689,341,955,365,001,475,713,662,
885,354,235,258,072,751,305,892,404,391,368,553,238,845,124,821,181,985,359,
034,792,832,613,564,585,451,510,585,727,578,338,956,449,432,238,311,654,825,
914,399,258,269,934,089,718,107,901,732,102,284,164,208,864,386,039,398,303,
541,689,353,872,604,987,230,125,739,332,290,733,296,567,787,531,325,287,188,
848,056,184,720,272,333,994,373,632,358,770,113,113,071,488,572,524,710,955,
356,472,848,066,669,804,924,201,887,389,578,692,381,301,187,983,213,129,605,
282,879,250,139,614,985,683,126,420,219,948,313,154,042,635,260,356,283,882,
752,297,700,291,362,298,519,173,760,930,690,330,926,356,506,940,897,784,197,
653,005,084,596,683,563,405,275,594,755,386,067,011,643,678,042,632,940,522,
161,940,863,851,587,810,948,039,767,402,211,228,944,991,727,583,118,653,577,
401,061,734,208,490,511,028,913,295,156,840,408,566,915,636,450,278,147,478,
092,058,452,897,663,372,007,300,375,965,570,065,693,761,905,625,990,854,597,
484,879,310,417,818,374,472,709,405,714,863,552,338,697,607,003,522,351,379,
059,078,160,673,888,605,414,889,814,207,509,215,846,103,716,591,398,887,570,
259,268,766,158,519,378,315,803,321,591,945,120,227,309,773,722,759,926,783,
894,932,626,408,917,409,791,398,923,629,939,528,958,030,568,586,052,696,498,
066,943,491,777,340,141,698,402,957,576,041,073,898,925,549,962,365,360,517,
921,417,999,003,668,542,820,699,757,757,826,494,619,129,795,116,103,279,783,
675,692,969,519,140,705,039,530,095,313,615,616,467,699,077,717,802,718,971,
017,866,696,333,708,178,317,347,801,119,954,935,821,701,688,423,729,053,041,
956,177,711,615,704,099,771,533,159,454,338,842,454,318,884,969,331,593,781,
632,255,609,670,522,771,150,153,420,921,930,333,492,143,383,314,060,860,275,
730,137,929,678,217,118,710,757,905,838,041,179,482,355,572,959,128,398,103,
609,992,483,986,901,402,287,485,943,618,357,213,345,126,885,343,907,101,513,
245,345,136,918,810,429,097,176,951,769,689,419,828,270,531,850,789,265,950,
947,108,509,775,298,835,744,933,338,013,392,992,755,759,040,638,551,017,969,
048,585,564,873,418,605,935,718,679,106,340,033,470,318,177,001,182,950,619,
683,032,668,067,028,479,082,633,250,991,598,726,978,453,336,526,590,477,736,
349,402,619,275,017,358,095,962,304,249,635,154,086,410,076,017,552,268,264,
028,461,506,864,991,997,265,642,112,679,572,700,613,423,605,230,940,804,735,
368,798,380,091,746,332,167,985,408,278,947,905,257,299,621,284,446,737,863,
904,288,614,591,908,133,243,777,278,134,388,517,890,628,602,141,666,230,060,
506,385,155,458,730,936,549,340,470,856,541,369,725,107,437,860,582,471,014,
152,097,406,401,387,993,756,367,341,038,407,439,649,620,463,914,161,426,711,
570,067,822,338,769,693,855,245,518,158,103,781,514,598,205,415,055,713,557,
324,026,389,647,588,320,084,480,918,005,974,104,168,955,917,616,388,234,530,
969,562,734,868,548,291,820,591,591,302,234,986,831,294,015,169,687,795,957,
534,486,467,791,667,711,283,609,436,338,678,091,135,954,861,468,085,347,684,
317,632,196,685,773,395,993,636,274,319,503,553,490,074,080,622,348,806,761,
128,065,765,313,945,897,948,986,651,124,036,714,611,271,164,035,810,723,524,
143,199,042,731,730,433,148,761,895,191,717,109,999,212,675,607,282,420,192,
807,853,702,311,993,004,394,593,299,824,259,437,392,122,644,742,061,281,306,
859,600,504,774,621,263,058,686,221,885,238,314,995,140,603,868,414,896,031,
374,600,476,767,769,323,068,964,742,379,515,920,624,372,806,612,358,180,756,
010,953,356,576,005,442,326,300,613,833,329,536,173,743,288,893,264,807,625,
051,214,189,045,366,771,214,682,766,500,633,997,923,533,166,726,095,790,491,
677,495,025,822,985,287,915,571,464,165,896,838,524,933,858,720,157,064,796,
960,403,125,039,036,548,951,172,357,007,272,161,810,447,185,372,261,777,225,
713,981,876,909,768,981,005,337,563,207,904,371,390,033,455,887,346,871,318,
286,474,767,936,863,308,812,817,596,867,055,364,596,477,614,360,706,661,682,
632,675,935,777,794,999,772,374,400,846,744,975,074,076,840,184,980,322,486,
456,268,543,098,497,273,023,954,276,541,646,190,431,899,858,020,190,549,480,
949,342,044,839,801,187,865,843,318,510,167,141,727,675,008,499,497,556,520,
522,496,667,507,268,070,145,719,638,303,472,571,494,197,374,634,874,655,223,
642,192,683,854,040,388,426,068,103,881,125,845,810,696,334,132,889,074,723,
667,433,114,484,457,288,020,331,433,534,974,789,152,928,126,937,647,021,371,
934,585,163,081,686,001,892,297,320,740,232,462,337,507,915,953,502,642,843,
929,570,043,302,375,685,223,248,578,409,861,126,898,382,946,974,790,516,886,
186,224,358,915,083,275,710,398,530,748,928,667,124,899,230,068,618,000,168,
180,980,284,119,841,712,660,130,499,458,225,724,559,441,978,298,825,420,452,
026,659,632,904,528,232,062,118,852,890,600,688,503,759,008,923,748,662,734,
106,863,942,831,647,372,406,835,076,679,939,192,346,555,820,049,435,574,096,
951,791,520,430,727,881,230,036,048,408,849,000,849,825,498,172,043,450,316,
543,506,732,329,133,647,651,932,120,000,195,981,641,845,714,520,292,833,666,
070,946,255,386,266,678,538,376,105,187,254,041,024,249,820,706,530,245,573,
900,767,685,763,960,447,905,767,253,148,532,316,141,280,656,448,259,783,410,
378,432,160,940,039,660,831,597,189,440,226,061,322,925,259,106,457,827,115,
496,432,242,576,691,594,644,076,414,652,614,734,360,477,506,443,155,311,662,
477,929,180,509,132,097,542,584,378,798,686,955,228,343,477,704,611,486,092,
462,694,791,269,402,688,929,917,795,598,758,392,420,719,943,978,811,303,894,
068,721,743,501,768,702,122,817,116,484,238,146,478,151,892,123,553,709,398,
401,542,317,505,148,227,278,622,391,764,199,047,766,867,943,293,728,688,888,
359,003,233,776,152,733,395,452,077,738,008,763,562,727,517,489,533,429,927,
744,638,642,495,885,552,279,858,250,552,026,931,579,498,527,119,644,156,828,
671,062,332,916,572,737,131,338,721,533,033,913,141,117,749,338,901,778,418,
509,366,943,185,632,160,452,074,360,529,440,641,165,993,964,514,996,150,388,
510,868,590,446,685,119,811,010,169,627,236,098,821,238,673,014,997,407,428,
253,873,641,801,497,305,239,613,588,613,634,897,110,415,198,095,452,885,160,
147,100,788,005,287,106,515,463,486,445,658,416,354,887,621,925,008,424,159,
794,265,002,324,321,224,099,356,691,513,234,970,608,115,867,796,667,736,881,
201,904,975,598,112,644,422,961,255,173,456,775,575,157,424,435,694,066,344,
362,721,322,653,268,392,116,292,379,585,150,557,522,556,774,159,399,527,874,
734,631,104,736,462,384,114,109,840,675,720,598,958,549,608,163,430,157,622,
889,184,627,306,223,523,897,495,117,727,993,603,057,211,102,815,795,953,116,
897,435,996,308,417,503,045,548,266,824,475,263,859,066,266,482,114,878,601,
026,061,065,412,813,618,929,669,041,026,693,724,010,756,872,321,078,366,235,
626,662,768,656,357,880,146,443,463,454,254,731,578,410,855,349,165,026,354,
708,214,712,399,789,266,215,539,708,133,666,062,209,191,953,104,596,299,060,
867,482,694,239,646,672,364,437,078,990,729,724,884,932,234,335,403,616,457,
181,206,799,265,417,992,562,304,302,105,371,121,753,470,524,251,903,591,139,
188,346,998,281,730,946,119,224,928,581,844,487,544,718,956,163,918,599,270,
374,998,820,443,551,717,120,470,443,823,200,646,735,639,639,889,748,631,501,
917,974,364,629,359,046,892,235,117,066,614,822,600,729,790,681,585,267,200,
853,356,062,553,644,452,079,181,237,515,683,089,369,333,598,041,395,732,967,
454,173,884,739,652,350,499,984,505,971,592,771,873,081,008,478,957,306,837,
200,721,850,355,282,960,565,420,766,959,346,264,634,012,757,447,223,711,691,
156,068,330,296,111,248,542,330,598,800,154,226,482,531,419,096,363,688,728,
981,883,597,158,811,021,343,047,667,206,979,358,598,307,638,880,552,594,397,
651,632,488,264,293,027,700,808,274,007,822,678,336,933,907,627,199,221,246,
166,526,839,610,930,632,081,294,080,181,139,700,318,741,948,939,583,732,984,
517,607,814,540,008,199,311,778,965,567,173,680,273,163,428,318,123,433,283,
428,529,245,055,267,003,406,257,652,518,232,058,877,499,718,803,770,862,710,
240,116,067,096,338,489,081,704,398,205,334,100,164,469,794,671,188,492,045,
876,754,070,300,261,092,940,487,854,512,972,979,627,814,917,273,021,244,406,
972,330,958,542,904,092,186,177,260,741,048,454,130,438,756,331,557,520,308,
709,414,320,091,486,475,511,446,559,450,321,297,187,138,527,323,668,939,246,
711,372,386,818,650,828,721,286,350,600,788,838,167,099,610,598,200,481,431,
915,978,187,145,060,007,089,375,825,766,920,105,408,547,279,029,517,016,039,
025,697,729,777,858,585,721,880,203,796,216,935,148,674,549,423,136,419,140,
623,419,479,679,968,672,689,417,938,781,361,940,199,265,268,836,523,999,552,
352,044,527,958,421,343,742,162,673,859,446,074,102,464,267,344,508,343,209,
283,537,843,462,088,172,403,533,470,686,107,161,212,118,386,034,257,520,486,
301,740,998,981,435,138,622,226,946,425,963,398,168,098,131,035,291,227,356,
183,925,287,776,665,705,188,672,411,376,154,826,870,494,003,529,364,996,414,
372,501,797,231,137,249,671,540,434,355,617,060,607,014,111,112,234,402,179,
506,282,330,838,728,235,635,315,283,428,224,813,710,545,996,766,793,100,946,
207,454,317,254,678,331,341,960,266,355,014,262,390,449,135,004,056,333,760,
912,432,904,119,299,598,800,591,949,631,094,210,942,511,322,049,052,037,263,
778,618,870,112,151,729,572,312,848,466,107,914,037,558,670,502,767,085,878,
749,451,206,499,141,502,562,329,603,519,750,380,752,350,649,849,868,863,929,
854,736,872,452,463,557,068,461,820,340,870,405,599,037,784,142,858,819,941,
694,182,422,744,001,086,059,574,005,228,807,481,396,311,209,250,065,736,581,
134,341,435,050,179,708,676,009,173,116,712,287,643,826,902,933,630,381,195,
004,541,320,952,409,345,210,295,782,031,360,080,895,587,816,412,678,850,388,
388,620,163,063,951,886,753,734,922,837,873,380,751,667,899,943,228,945,485,
293,462,246,634,901,642,944,079,251,107,768,090,284,820,594,597,117,765,420,
483,037,043,378,957,870,927,767,685,246,870,838,178,663,467,452,482,406,703,
938,668,547,709,326,029,725,492,248,186,431,327,813,948,708,848,897,609,034,
264,242,561,113,855,586,656,456,245,885,459,433,963,479,082,561,891,409,837,
718,988,167,640,063,057,006,646,387,452,949,671,848,540,674,434,276,674,984,
992,805,391,298,145,566,262,616,831,498,250,240,306,998,549,439,029,481,391,
850,789,133,498,039,966,235,109,756,596,619,342,270,252,295,596,213,355,945,
516,300,812,098,633,324,864,205,994,794,620,829,872,589,878,098,395,555,208,
249,594,883,291,577,982,028,360,378,174,090,197,720,084,989,275,970,526,604,
249,979,552,377,102,661,226,699,718,862,664,858,680,062,592,207,930,649,415,
019,568,196,610,747,940,008,849,382,420,902,650,533,330,758,272,667,754,910,
029,518,944,653,152,134,004,098,261,953,002,843,421,376,224,251,089,017,485,
711,190,169,616,049,648,970,394,987,002,213,181,688,142,719,685,294,457,225,
093,237,110,261,312,730,720,433,159,686,915,042,005,196,468,240,105,432,899,
300,166,173,362,823,559,767,711,701,798,202,203,337,782,648,781,283,673,247,
946,060,128,730,102,811,280,603,921,853,740,043,001,218,314,401,296,568,098,
468,917,028,863,218,640,219,046,649,567,494,537,562,647,352,950,643,798,190,
430,711,959,816,632,693,177,079,236,934,964,895,913,677,078,870,356,297,034,
420,195,975,094,765,208,290,589,670,867,042,500,883,114,392,365,607,449,680,
140,956,116,952,087,303,271,220,836,701,600,555,783,634,329,139,673,112,314,
513,281,424,624,376,307,973,150,070,337,793,918,422,520,155,157,137,456,298,
933,762,299,903,093,693,990,674,207,895,527,247,011,678,061,986,423,214,270,
692,453,380,785,034,431,562,528,973,877,839,026,660,097,297,958,348,807,620,
810,201,998,210,977,498,272,109,304,766,869,174,604,923,383,602,040,970,580,
263,053,229,664,447,741,576,648,843,945,376,707,075,531,511,115,654,118,714,
095,091,857,827,794,209,165,842,515,620,595,006,977,857,604,645,793,823,271,
064,215,872,345,316,769,707,469,402,253,821,851,972,127,824,015,283,594,069,
165,645,731,775,148,846,772,296,129,623,738,582,401,932,262,436,008,336,779,
647,347,377,727,817,524,737,847,202,602,476,785,989,231,087,548,224,381,315,
426,185,297,414,907,760,501,488,696,685,292,817,851,005,746,638,546,453,400,
659,459,411,833,742,382,350,824,556,105,288,623,164,641,748,803,593,990,917,
463,626,649,767,345,062,754,660,131,815,912,902,118,703,723,289,732,425,419,
970,512,837,678,422,152,881,321,578,902,647,555,323,310,436,646,193,377,596,
852,243,647,065,597,524,915,384,151,770,718,359,550,294,019,021,139,907,081,
743,502,851,658,972,397,022,222,276,302,621,425,363,922,751,115,947,685,778,
152,984,533,000,598,434,588,819,496,256,442,742,511,452,515,235,739,193,620,
954,678,800,730,545,853,342,803,714,667,995,982,519,095,918,039,018,601,743,
439,583,709,697,466,482,062,957,249,156,191,995,249,428,178,179,646,731,133,
553,660,420,225,704,496,854,924,920,028,518,106,130,933,718,399,665,432,275,
076,093,914,190,330,941,077,814,804,371,419,811,567,632,272,238,870,515,371,
171,756,899,881,459,140,100,039,168,301,443,851,386,200,567,570,278,518,213,
153,061,903,660,768,206,472,647,152,451,584,438,219,711,256,097,248,518,106,
281,490,569,209,687,790,730,196,417,488,765,165,788,746,961,549,296,937,224,
373,553,716,763,867,334,282,785,158,897,419,746,212,334,290,229,595,585,379,
808,192,124,769,770,273,793,687,402,156,095,366,928,357,411,970,273,175,548,
218,775,254,508,323,615,152,277,541,166,327,263,943,486,110,977,368,895,851,
796,952,133,795,092,286,261,937,466,766,983,462,252,110,647,737,063,394,206,
376,127,327,788,201,215,301,119,736,496,904,249,837,063,773,714,356,900,448,
684,669,437,287,894,646,760,721,994,097,838,093,205,455,585,415,515,012,647,
434,582,990,855,322,370,607,065,775,826,330,048,761,832,801,432,129,921,532,
870,311,416,876,219,627,813,232,234,560,691,231,386,809,094,011,278,468,877,
214,722,627,527,481,569,911,522,974,804,880,374,271,626,913,959,866,531,470,
174,903,444,520,727,241,588,867,041,743,529,867,179,267,850,692,175,740,024,
010,187,890,084,570,465,443,496,322,547,809,291,911,096,093,055,818,177,149,
442,401,538,227,566,987,876,646,736,394,982,827,412,881,504,730,624,873,974,
856,325,083,961,735,494,396,288,164,058,999,077,944,230,711,005,108,034,508,
926,820,014,987,704,507,234,282,924,862,844,787,114,273,316,406,408,235,951,
041,143,168,870,417,939,429,258,775,599,562,048,677,648,609,368,925,991,532,
993,974,709,373,712,782,373,041,212,602,620,247,308,643,401,800,835,403,803,
254,132,811,593,631,039,673,765,817,494,727,106,168,098,188,984,119,188,264,
579,382,598,619,277,140,724,657,633,038,178,390,494,936,005,350,884,296,171,
808,212,624,501,455,304,550,540,441,832,147,992,716,675,165,448,427,702,564,
638,489,750,337,023,736,350,509,665,116,477,956,447,827,738,819,653,330,627,
687,793,314,397,830,991,800,190,682,556,446,621,533,043,742,345,900,273,596,
435,209,621,972,667,530,373,517,393,659,460,895,551,002,185,329,077,599,320,
291,117,459,285,190,407,995,706,458,460,307,322,753,382,013,551,576,949,669,
956,525,761,562,509,206,081,297,446,876,154,263,895,411,108,658,932,446,902,
253,186,296,386,881,964,143,343,441,772,276,971,217,586,456,989,966,800,483,
908,517,800,951,665,245,535,186,102,146,881,893,826,951,937,695,093,793,507,
245,896,870,566,665,770,735,727,024,348,373,545,146,365,428,157,851,360,225,
887,181,970,132,432,645,922,369,509,470,122,206,981,281,286,626,463,904,992,
811,024,881,234,249,206,723,509,018,684,664,987,648,648,756,371,642,960,879,
058,027,409,491,607,833,093,686,345,580,013,764,356,156,023,659,515,398,489,
156,709,736,125,347,574,441,613,082,704,567,758,130,941,161,215,702,887,522,
689,203,011,532,016,319,210,422,530,519,241,606,772,625,138,740,179,634,330,
318,984,938,395,373,459,588,500,744,975,904,212,071,610,960,337,466,421,838,
775,676,423,767,277,862,704,099,195,840,244,912,703,538,292,582,667,661,454,
999,654,314,554,217,801,469,760,207,273,212,309,369,993,349,186,332,578,534,
718,363,845,158,790,604,816,887,301,013,822,245,164,268,527,004,243,148,838,
472,192,693,980,373,444,534,583,222,053,476,262,702,315,527,612,003,145,240,
401,111,262,728,259,264,360,346,460,460,035,755,888,422,084,197,082,839,243,
059,996,284,889,094,986,121,637,875,921,017,417,569,750,545,230,931,656,399,
731,793,730,323,410,566,273,010,250,155,721,835,360,155,858,200,016,841,299,
110,792,499,344,111,823,261,728,933,622,262,807,028,867,173,110,063,288,551,
071,336,705,721,137,405,662,890,314,928,419,956,671,638,151,354,619,627,461,
391,287,580,186,007,278,017,487,471,502,948,466,246,113,681,460,964,979,821,
931,213,563,741,799,466,611,318,723,863,828,174,103,999,628,551,403,928,384,
424,411,723,031,520,583,596,823,618,634,105,548,041,438,134,182,407,527,894,
929,595,554,596,628,541,436,796,270,976,878,091,118,900,901,610,551,782,951,
151,130,786,788,791,265,213,027,217,132,999,856,881,178,473,172,360,829,390,
630,944,832,340,600,803,890,599,507,492,208,539,867,217,324,307,700,293,799,
147,832,493,122,766,133,076,910,000,869,155,645,389,945,529,720,611,486,689,
020,766,273,684,807,672,012,736,282,543,500,458,737,845,868,746,240,744,183,
212,719,741,057,850,674,801,459,967,364,611,207,538,724,968,199,443,947,083,
700,283,596,054,962,580,762,831,004,703,241,531,166,450,677,956,627,822,742,
376,672,876,212,792,979,708,457,540,333,857,439,501,166,120,791,867,644,680,
897,601,977,013,761,299,870,173,737,395,511,672,079,388,409,915,786,583,334,
262,647,305,276,000,222,462,702,794,955,699,668,831,130,132,038,875,785,871,
250,539,232,127,589,084,161,602,345,249,630,666,466,629,013,989,530,282,680,
464,542,757,596,719,781,079,688,056,480,509,694,893,102,981,510,459,627,653,
706,748,244,151,476,134,740,026,654,873,151,905,039,124,486,709,573,233,157,
674,846,848,688,899,360,909,320,062,422,957,520,341,664,905,718,277,460,567,
325,991,052,916,117,985,278,174,956,682,401,490,280,700,916,377,114,220,720,
591,954,507,385,021,074,262,748,096,115,479,006,481,632,759,273,726,967,511,
339,992,671,802,471,041,281,199,331,420,326,785,972,461,586,631,333,048,528,
552,005,224,781,745,449,055,522,369,167,720,814,239,398,532,006,213,908,596,
550,796,616,996,718,757,548,681,308,826,370,572,919,583,247,506,399,735,074,
069,539,182,871,601,582,798,748,680,265,322,744,942,119,792,559,762,372,410,
343,793,436,146,677,043,771,102,654,005,942,400,589,177,841,170,348,775,957,
290,072,574,070,306,207,071,717,237,374,292,879,969,078,825,822,448,051,918,
931,513,030,984,819,790,763,865,672,670,897,933,874,955,297,189,910,933,127,
948,122,087,666,551,710,747,843,847,770,249,753,573,091,643,778,932,052,099,
472,007,206,727,002,652,810,257,569,397,577,638,505,158,311,845,384,725,120,
207,305,993,651,619,787,344,275,990,521,571,580,285,447,904,437,034,433,222,
987,285,961,067,677,439,683,266,673,841,693,066,087,364,913,549,180,325,086,
737,146,530,011,132,054,515,601,342,538,937,175,167,763,843,454,260,697,037,
468,333,852,527,156,148,350,871,762,637,666,368,301,713,073,748,256,065,406,
580,593,400,225,741,467,015,357,332,055,656,559,238,678,389,906,036,742,264,
094,428,937,098,777,009,815,730,146,662,642,104,077,948,214,736,552,159,676,
987,790,940,524,914,908,101,995,646,071,801,660,631,234,446,476,545,878,257,
161,723,972,876,183,571,980,493,810,092,233,928,800,630,083,047,368,950,660,
291,841,885,780,639,529,367,003,688,212,547,795,549,701,036,930,620,360,909,
126,844,466,068,629,425,425,455,478,930,301,798,798,520,246,761,095,542,191,
696,564,556,782,384,466,223,647,539,797,984,347,551,304,857,375,560,588,107,
823,267,915,359,303,444,878,542,265,386,865,568,762,743,234,927,622,495,417,
065,364,974,963,401,960,868,025,493,381,663,201,405,024,574,146,335,687,446,
126,217,374,003,148,637,873,119,513,389,569,503,295,094,761,768,980,866,926,
852,752,375,594,661,103,813,763,122,771,870,655,151,888,401,218,812,182,555,
853,661,613,446,132,465,311,941,675,182,218,484,409,181,427,195,419,415,638,
546,212,107,117,883,211,824,463,725,692,065,668,578,544,948,809,241,618,827,
054,360,623,070,180,550,128,233,470,875,355,201,674,487,133,328,064,406,451,
361,584,103,495,214,588,953,414,945,811,473,606,640,950,317,933,302,509,957,
148,603,387,800,566,039,673,537,465,967,654,905,913,310,023,058,779,163,104,
219,550,641,543,431,740,261,444,652,131,887,850,535,677,916,957,975,239,485,
053,173,512,813,989,117,984,789,182,341,427,904,298,495,718,756,168,669,784,
855,802,582,710,510,463,461,420,780,832,748,062,760,854,119,015,232,111,520,
055,272,800,188,077,628,992,844,182,300,883,400,691,511,533,629,247,658,742,
765,377,114,597,510,769,918,300,827,987,731,438,390,704,259,741,052,510,673,
542,860,210,411,241,102,087,951,179,001,221,738,437,822,793,637,137,918,773,
544,601,687,248,582,638,381,827,962,196,110,481,568,858,213,181,266,983,516,
250,334,773,493,820,284,741,195,204,592,557,889,855,988,259,448,206,033,787,
663,284,726,101,411,901,723,122,696,327,970,060,523,260,598,396,990,847,317,
792,495,283,890,498,646,807,453,427,817,708,852,205,174,792,338,917,142,751,
216,808,920,810,075,822,072,069,646,546,408,390,911,323,302,532,256,252,927,
028,836,589,858,064,243,538,002,081,424,840,974,287,172,946,557,878,327,946,
635,529,771,705,830,710,602,602,702,332,721,375,827,686,656,522,688,475,822,
369,888,057,179,670,765,396,064,716,865,841,646,821,827,767,441,972,106,194,
060,971,482,919,527,566,675,848,272,592,125,602,282,925,402,602,101,436,261,
672,237,956,865,154,921,050,254,518,109,419,471,696,561,503,879,329,535,435,
362,762,630,782,829,098,652,237,875,071,442,001,368,138,958,005,226,343,440,
929,941,435,199,221,936,333,938,471,225,036,934,208,009,794,653,880,649,428,
920,820,263,934,511,457,150,596,188,663,790,521,846,307,077,029,450,484,332,
841,531,696,220,600,011,981,741,135,574,275,173,961,177,791,152,803,155,697,
193,630,142,992,593,709,837,896,042,436,098,555,444,296,768,259,108,564,479,
893,265,397,461,881,539,757,639,522,646,485,727,105,487,031,383,438,048,195,
462,112,605,760,899,736,619,584,203,682,770,609,436,825,297,395,549,836,859,
557,697,240,276,513,226,853,038,222,342,871,849,323,243,613,154,664,306,645,
466,939,738,473,376,157,169,123,856,695,344,533,876,180,160,070,162,892,011,
364,817,698,535,410,668,089,694,401,277,661,545,363,913,138,785,648,569,948,
387,854,223,752,114,915,084,232,788,198,642,060,390,304,734,509,404,791,887,
927,537,745,241,788,207,864,226,188,130,874,828,683,463,004,163,286,185,493,
994,232,342,066,610,982,729,567,760,259,937,874,917,542,191,772,644,430,277,
622,523,534,755,075,046,405,224,696,827,727,011,028,328,819,108,661,477,340,
517,582,991,461,236,409,140,508,344,173,289,988,069,869,130,130,118,153,171,
301,764,114,185,777,883,858,845,326,425,584,006,367,720,859,681,122,994,684,
520,103,094,682,194,659,185,723,856,949,823,729,005,641,289,253,462,574,335,
903,163,036,131,134,129,880,503,630,385,883,486,313,351,397,154,865,771,596,
355,170,022,523,128,043,824,226,855,224,838,189,775,976,312,051,293,518,161,
350,181,913,664,457,278,072,120,827,745,790,909,228,177,834,037,464,802,277,
011,601,807,089,904,090,585,629,041,328,163,850,201,621,445,694,504,192,504,
144,943,972,426,487,901,027,345,913,355,759,166,100,614,727,086,105,272,550,
601,924,353,865,433,379,752,099,466,752,515,825,707,766,596,309,950,762,687,
980,087,711,784,748,003,410,059,039,095,759,378,378,025,942,860,158,196,030,
611,957,038,013,493,102,525,324,819,348,346,232,316,448,915,135,904,802,772,
781,579,498,499,642,699,057,279,444,345,233,097,396,456,104,836,476,634,362,
533,172,460,548,902,733,885,722,425,956,378,159,012,539,820,597,858,192,334,
968,093,369,339,620,906,068,783,931,003,053,989,508,464,831,980,731,702,502,
919,858,819,704,280,094,597,128,762,052,198,646,575,342,688,159,440,980,609,
281,594,206,096,688,623,911,683,649,827,186,163,239,872,912,465,810,876,904,
337,939,699,400,870,936,573,790,136,931,009,983,149,473,986,709,389,630,966,
129,485,674,565,804,739,667,344,920,498,255,038,679,141,976,804,544,074,574,
463,635,849,297,721,233,604,951,877,414,260,536,751,961,073,060,544,970,951,
988,487,220,252,806,362,198,455,197,993,532,707,102,414,384,051,842,329,461,
409,397,400,010,601,725,288,906,679,218,657,423,464,531,319,775,724,842,807,
011,143,087,781,997,948,711,151,233,859,533,213,020,767,810,932,387,839,296,
467,220,467,248,646,596,927,546,300,352,358,423,379,279,182,264,152,709,486,
785,487,836,944,143,712,856,543,100,336,373,075,562,347,636,704,006,763,861,
252,031,159,554,511,540,129,959,881,557,290,360,534,665,913,581,120,690,583,
368,700,951,860,050,604,696,701,014,368,047,726,057,674,397,957,889,199,393,
660,800,512,235,947,601,242,744,234,683,114,940,600,537,204,527,736,327,252,
502,589,317,065,534,720,167,409,468,801,314,091,996,250,562,698,162,950,538,
505,626,766,662,182,205,876,111,656,213,213,771,006,429,480,329,107,867,945,
913,487,429,431,640,695,162,635,161,487,656,371,466,526,990,505,801,718,064,
467,389,009,741,579,024,376,332,290,986,897,785,304,015,293,728,044,765,227,
199,612,521,279,261,826,276,663,414,966,871,524,793,608,959,519,587,948,825,
197,452,447,807,456,736,026,029,787,104,222,037,792,625,596,336,556,994,669,
976,130,433,985,169,959,861,651,546,926,204,057,653,749,562,927,178,466,422,
535,886,740,601,061,043,270,558,464,079,204,084,850,286,206,675,963,264,427,
637,099,466,738,807,163,766,773,659,721,662,098,105,997,221,327,991,178,226,
033,338,635,753,191,347,851,671,839,920,703,479,326,922,803,389,124,635,213,
851,475,460,524,329,115,445,554,469,417,959,345,051,449,921,411,010,907,738,
692,794,971,047,368,560,987,868,447,446,331,158,270,601,099,831,855,377,596,
407,773,634,856,552,763,300,410,780,520,269,429,185,797,234,988,952,088,301,
733,872,896,088,386,793,732,956,541,859,436,750,188,285,720,558,772,689,591,
072,530,653,293,408,934,909,672,406,876,774,326,968,286,003,337,722,275,793,
597,370,765,295,971,674,587,978,093,255,337,676,136,035,101,006,736,974,870,
300,263,679,538,998,291,146,764,244,193,069,693,836,388,585,615,599,229,919,
733,909,566,774,929,953,735,913,245,021,568,887,408,922,260,100,151,020,474,
778,420,463,267,762,642,350,940,685,644,822,210,800,221,475,688,277,359,313,
459,536,987,731,835,610,152,085,073,250,109,886,943,167,545,046,585,254,564,
107,826,257,147,238,745,786,291,825,873,967,962,889,991,615,117,381,283,182,
793,884,980,117,732,435,280,170,264,248,965,366,216,950,821,183,249,593,233,
879,977,394,022,416,913,478,551,063,183,340,718,512,092,263,080,096,662,407,
055,300,405,983,807,942,091,257,617,187,121,305,653,032,050,170,571,346,718,
279,095,936,505,646,965,120,560,321,560,423,202,166,601,543,537,008,326,752,
434,167,558,938,467,832,054,333,162,874,634,491,434,796,586,336,906,384,648,
527,548,384,369,331,219,718,519,295,699,031,830,429,571,064,502,578,029,864,
564,772,959,090,500,052,692,163,324,230,539,173,115,953,555,720,529,578,635,
999,774,635,291,691,433,818,220,928,357,807,320,871,861,018,760,750,529,475,
649,920,434,471,265,560,441,341,049,922,113,801,149,680,882,127,417,769,682,
661,442,846,373,664,855,129,474,666,061,869,870,022,511,825,916,293,801,751,
221,512,317,243,777,695,810,729,635,908,750,998,029,287,051,000,844,431,086,
677,907,288,450,432,506,196,126,443,799,179,087,628,244,898,549,164,318,961,
973,861,543,157,541,464,966,134,645,683,801,301,769,686,919,832,711,911,686,
301,790,963,829,305,971,414,773,070,657,515,608,727,844,430,291,508,789,237,
202,343,706,642,287,186,386,005,853,461,381,173,285,690,689,000,357,946,689,
653,546,189,334,130,842,722,493,281,154,208,020,026,529,334,201,273,995,536,
734,835,535,359,523,300,510,371,633,138,317,619,565,280,265,444,068,625,778,
799,415,497,821,899,581,806,498,739,742,636,513,495,930,022,092,649,080,796,
427,989,340,992,095,504,070,637,447,830,594,975,980,684,222,038,620,737,441,
971,703,108,959,958,655,716,776,176,200,932,920,033,269,809,254,745,399,699,
490,801,064,961,571,732,648,283,018,030,297,723,795,677,062,762,537,932,258,
348,799,054,134,847,220,839,533,998,569,697,527,396,505,524,098,444,491,384,
263,953,242,694,728,013,734,941,951,559,825,268,723,126,483,493,753,478,223,
377,614,483,589,198,833,615,603,210,817,716,641,655,696,253,429,087,153,306,
396,637,670,656,552,787,398,859,528,593,998,086,941,702,691,140,187,531,507,
629,877,583,220,901,761,533,243,447,491,115,771,050,796,245,822,813,978,436,
421,909,406,682,368,028,915,815,585,437,860,532,609,224,095,551,134,031,978,
228,891,587,804,075,729,584,461,770,497,036,679,307,274,937,187,599,144,890,
651,287,475,052,024,000,593,540,720,315,043,372,423,293,102,620,340,540,643,
176,561,631,825,387,224,538,540,274,962,053,246,894,770,387,776,272,667,025,
638,467,827,937,565,165,353,691,278,774,600,839,705,367,099,757,330,737,269,
621,275,234,154,983,583,850,902,907,207,756,187,441,389,145,644,514,685,406,
909,345,531,757,538,925,904,874,058,123,709,486,013,504,840,560,465,089,354,
515,477,355,469,715,198,423,750,633,820,143,188,782,276,639,691,050,572,301,
677,955,146,487,024,242,215,161,780,784,174,317,342,562,418,630,322,970,256,
960,916,593,376,252,520,207,348,200,210,388,971,334,012,308,556,860,090,853,
547,460,849,431,207,690,435,147,355,213,941,988,507,939,479,783,037,165,739,
087,616,710,671,917,286,893,654,532,870,371,521,005,023,684,561,483,721,810,
280,266,348,202,826,969,454,138,390,616,384,688,150,313,491,834,397,389,485,
791,201,389,187,482,041,144,551,113,561,964,739,086,038,076,960,369,678,989,
658,294,612,236,883,840,212,336,525,211,750,593,741,396,927,964,881,629,784,
051,626,225,744,232,582,962,935,203,807,529,697,251,943,484,758,656,209,443,
732,834,121,139,820,737,405,729,518,006,696,637,011,418,240,808,161,267,939,
250,959,093,255,020,823,149,829,092,205,885,410,379,999,894,284,462,598,367,
910,043,023,202,633,171,092,239,295,119,438,596,803,688,512,612,506,621,440,
114,370,925,272,068,320,858,590,941,974,253,966,539,706,716,887,397,193,151,
780,761,968,246,328,986,154,910,658,357,862,006,388,653,814,230,883,168,499,
463,138,372,720,087,350,991,005,512,913,165,813,874,957,143,890,134,736,351,
189,220,639,864,745,606,641,826,691,255,787,637,124,539,977,528,233,438,017,
511,344,085,523,363,060,759,526,263,105,520,796,543,998,141,665,142,373,226,
719,162,915,301,947,821,635,482,281,613,847,922,653,481,862,606,114,031,626,
741,763,917,469,657,821,397,304,833,797,395,632,590,077,629,178,105,077,363,
970,487,590,854,579,568,331,561,848,683,860,968,879,581,844,303,516,077,774,
077,539,664,068,954,610,730,000,170,986,671,776,759,537,393,941,580,918,870,
588,865,504,216,653,516,402,575,067,174,568,054,372,092,747,829,972,492,244,
292,472,851,018,704,795,316,337,354,679,278,509,710,281,199,139,739,363,251,
714,371,607,610,535,225,729,351,610,693,189,023,273,497,364,189,649,180,881,
830,584,459,905,548,109,865,035,846,866,501,530,732,143,008,084,084,113,034,
440,020,125,331,678,402,996,636,430,825,272,048,961,122,606,597,450,882,232,
414,625,818,693,428,393,835,306,879,354,075,698,534,054,674,281,301,042,539,
292,237,281,139,154,585,235,089,593,023,045,389,316,545,667,305,795,825,789,
896,801,261,964,632,638,255,864,509,959,214,081,884,267,054,809,894,680,391,
112,044,970,156,176,507,752,493,971,741,640,128,580,872,808,156,171,193,699,
572,169,427,227,329,692,609,738,140,784,850,805,212,954,932,230,295,999,164,
701,326,690,158,521,721,560,639,910,428,713,374,169,995,672,834,256,511,285,
866,417,800,394,536,456,173,739,437,427,890,968,870,167,324,305,494,706,062,
290,950,636,856,101,894,552,284,266,677,546,130,493,275,550,113,721,747,967,
733,920,505,007,894,760,792,888,124,543,578,989,724,555,274,733,176,463,653,
013,856,262,563,198,037,560,155,735,746,834,686,495,267,571,477,813,028,431,
269,640,227,686,281,742,580,621,819,397,789,945,644,759,866,805,831,109,133,
787,575,481,649,985,822,031,403,528,582,972,080,672,869,917,981,341,089,497,
429,397,261,593,043,007,387,299,356,922,389,571,714,991,946,763,516,260,308,
012,422,595,808,842,963,428,088,410,861,042,551,605,697,382,742,285,148,578,
484,888,158,037,891,493,784,675,503,263,106,611,523,751,769,776,829,199,298,
044,259,234,477,851,723,264,998,895,238,958,251,860,642,555,662,902,966,194,
468,143,000,417,577,797,166,007,417,841,256,071,542,926,613,542,503,796,766,
345,031,192,958,455,766,739,868,850,152,611,525,858,972,041,985,943,347,513,
602,207,046,967,821,199,558,178,075,583,814,103,334,398,906,287,397,893,869,
170,531,772,257,721,925,038,813,218,266,994,436,842,820,360,779,800,712,018,
973,826,053,404,979,721,630,648,071,767,076,268,522,000,294,884,837,858,539,
221,271,540,090,401,229,069,021,962,446,835,936,044,548,038,398,060,261,805,
843,243,700,321,514,129,065,653,689,924,425,032,335,871,182,974,672,235,303,
303,288,443,967,857,651,945,454,415,135,093,982,243,884,383,304,565,135,819,
696,645,525,990,844,634,787,209,454,196,631,027,539,851,332,228,785,254,000,
225,803,269,257,992,623,720,321,038,215,330,677,931,753,604,034,198,465,834,
569,589,276,761,019,506,106,787,611,815,790,000,742,681,108,959,866,332,459,
514,974,136,259,255,882,742,238,508,918,801,600,848,194,152,362,415,210,035,
298,669,551,702,080,947,930,423,209,681,518,103,089,144,698,535,824,076,950,
508,581,191,713,656,470,724,405,569,033,038,792,813,294,294,939,398,512,689,
281,126,490,809,995,609,644,896,180,085,678,780,589,328,159,847,049,566,081,
863,506,312,025,349,436,970,619,071,861,510,837,058,380,541,815,381,793,003,
697,398,632,518,140,469,433,293,732,436,268,816,000,689,433,506,371,056,286,
042,280,439,278,150,625,702,116,675,455,622,262,505,248,434,531,775,678,957,
084,694,925,430,754,255,757,951,662,855,144,763,760,056,431,214,072,215,889,
463,814,758,889,244,177,682,333,436,039,916,650,777,841,480,373,950,656,197,
036,861,378,295,428,657,215,365,762,323,598,985,684,358,579,255,060,727,822,
597,804,723,984,865,107,842,590,137,660,648,699,045,139,908,755,411,559,703,
020,891,837,455,693,369,992,688,881,336,778,941,497,835,619,347,313,242,393,
289,868,471,898,563,716,983,181,075,390,934,689,367,261,073,843,091,512,878,
116,963,239,955,602,536,030,890,169,904,394,433,548,610,968,984,479,821,774,
446,493,379,924,429,781,428,227,854,499,291,392,297,544,031,364,829,094,967,
257,093,612,788,962,156,271,512,004,138,733,217,432,061,990,762,059,124,574,
155,179,957,138,256,324,680,392,230,352,148,766,192,562,745,761,410,386,802,
376,615,519,828,729,211,869,033,200,536,733,268,164,773,970,028,527,956,668,
188,898,296,516,179,944,915,906,125,191,103,846,257,261,273,040,979,256,347,
641,739,475,638,300,855,367,188,318,472,893,099,852,007,815,856,504,951,715,
341,640,294,937,333,861,429,679,334,399,324,233,434,068,563,973,454,490,717,
392,183,508,796,227,683,670,315,509,110,657,663,387,561,959,923,848,139,228,
965,729,123,369,518,524,609,222,073,694,384,127,287,074,767,902,791,211,850,
953,783,155,268,362,831,203,768,915,552,826,694,333,013,357,936,610,339,956,
018,661,810,016,426,591,747,203,189,663,343,275,182,815,881,324,334,519,423,
259,748,765,433,679,531,612,821,259,920,403,269,206,945,229,865,009,848,929,
900,300,025,534,669,794,002,924,386,583,718,979,482,293,553,065,931,072,219,
010,454,897,439,930,713,661,502,167,235,251,654,500,598,592,528,996,165,248,
943,545,259,236,821,801,067,703,524,993,820,778,212,842,705,756,748,120,218,
523,917,221,881,404,311,386,904,224,603,352,390,638,411,920,746,087,031,960,
033,164,347,691,536,074,680,220,803,870,170,756,285,023,162,127,166,096,976,
440,159,068,717,963,215,362,853,797,595,738,495,213,774,675,764,164,282,417,
434,218,278,347,812,375,356,330,481,833,132,102,699,269,416,792,107,071,804,
993,408,693,718,976,415,913,452,795,059,671,425,375,795,773,326,819,605,741,
804,428,131,087,158,890,437,944,200,684,570,611,427,130,862,971,569,339,380,
443,318,595,015,291,695,994,271,644,631,513,833,017,583,041,805,932,169,564,
769,461,384,966,794,067,571,225,605,063,400,224,016,824,975,001,662,385,892,
599,195,559,282,451,777,060,375,355,578,514,272,622,807,228,406,897,150,613,
865,817,489,791,133,670,550,573,466,839,612,530,896,258,943,998,618,826,266,
021,709,165,962,073,518,601,612,174,729,774,923,093,625,662,626,653,982,737,
730,150,947,924,408,580,684,460,534,191,622,049,394,841,962,645,676,048,020,
722,971,345,509,033,251,705,571,110,164,089,386,845,793,110,226,691,447,864,
923,671,078,829,976,766,654,659,164,584,194,970,461,726,484,022,426,234,826,
532,581,215,759,599,351,854,393,948,722,169,314,410,161,450,577,362,354,318,
878,425,915,540,948,435,029,857,807,927,995,558,455,851,829,840,990,625,552,
158,660,842,689,498,126,711,997,419,639,455,571,687,420,165,028,635,440,508,
448,430,455,295,452,787,272,044,246,222,048,210,085,650,790,410,209,341,712,
112,025,973,545,392,530,895,852,030,244,780,666,128,383,181,072,352,100,324,
435,351,515,593,118,091,280,080,609,442,099,829,131,226,010,939,088,853,549,
598,361,808,651,433,013,171,088,636,999,901,593,146,144,618,371,069,828,189,
276,193,759,567,288,769,284,684,260,563,025,138,261,572,678,834,436,319,839,
432,183,475,165,849,964,651,596,164,109,043,398,720,157,533,152,445,488,435,
082,058,504,730,246,639,431,750,308,181,204,241,336,904,021,058,011,624,152,
629,033,396,287,170,338,728,658,342,369,842,467,963,767,205,823,344,572,095,
312,591,450,488,641,357,525,396,885,565,142,328,977,917,356,586,348,621,565,
806,033,418,963,680,693,248,216,719,228,426,623,662,070,412,076,685,156,228,
729,153,133,868,907,481,730,568,150,990,034,817,149,998,664,873,476,387,775,
405,939,461,004,387,906,014,008,086,787,069,176,006,642,876,618,249,587,258,
358,378,440,334,256,274,874,630,623,547,773,727,635,840,612,404,065,594,584,
400,460,366,960,840,070,299,709,104,029,420,682,254,288,053,713,834,068,955,
951,309,434,103,738,739,857,490,507,689,525,307,316,427,108,570,203,073,584,
929,153,790,879,172,248,268,634,202,661,238,555,464,262,154,601,577,755,409,
744,459,142,194,151,647,571,141,923,320,332,722,909,586,518,520,780,497,515,
578,498,225,688,617,052,485,013,434,494,356,264,262,301,332,824,215,852,745,
993,799,284,043,711,534,459,451,995,008,434,229,191,016,398,369,023,055,029,
651,207,802,454,902,915,837,152,011,742,932,260,548,262,551,769,599,054,035,
514,852,115,779,809,710,396,277,242,953,793,092,054,042,675,263,303,258,291,
892,871,853,153,061,568,491,037,596,315,240,997,814,819,455,615,512,820,485,
151,258,085,864,170,724,772,594,406,585,521,704,122,748,074,694,465,063,108,
755,046,095,166,221,181,902,141,596,505,312,402,798,692,130,126,082,988,773,
540,194,730,038,490,030,010,152,174,560,488,658,382,331,605,336,505,625,766,
865,689,311,199,148,796,573,296,220,887,171,433,508,043,309,979,588,147,458,
792,072,050,562,107,380,249,894,204,922,503,806,302,507,565,934,426,825,413,
980,379,597,328,253,612,037,430,650,170,851,498,117,252,854,410,819,014,900,
133,460,192,125,307,437,237,079,374,310,643,589,207,020,194,767,135,090,888,
375,645,524,398,543,901,281,533,613,415,116,652,139,483,940,810,073,762,463,
933,019,398,262,358,619,386,730,090,152,660,685,572,628,560,831,867,400,411,
036,741,944,406,520,326,954,329,445,504,077,283,621,761,908,054,492,111,765,
269,232,770,844,430,474,524,297,174,868,290,130,699,122,516,259,751,240,115,
382,239,176,907,266,071,406,247,524,541,052,732,709,973,085,967,507,162,904,
718,297,611,720,319,098,878,963,913,822,756,259,794,494,804,050,172,778,663,
581,892,103,078,588,719,701,258,431,281,293,685,693,233,595,116,055,031,961,
667,801,698,560,107,118,008,441,157,824,449,543,191,755,868,979,667,119,888,
031,152,603,700,584,738,177,038,395,002,739,340,115,811,238,817,223,726,177,
858,680,921,669,256,388,283,613,760,485,468,693,811,791,406,589,789,461,846,
254,704,125,607,413,703,200,424,052,622,618,894,768,333,482,771,001,287,006,
816,606,315,697,727,900,387,825,004,770,667,718,979,875,179,446,793,403,304,
191,299,842,985,867,106,621,929,360,031,099,459,274,514,252,791,757,018,981,
377,672,799,357,276,294,662,058,490,880,631,391,451,576,658,939,716,749,610,
728,006,711,250,571,690,603,819,832,328,974,695,569,556,535,404,664,699,424,
739,557,000,702,740,489,015,832,890,916,704,935,179,586,111,459,210,203,110,
344,378,658,580,283,040,874,137,182,440,166,183,664,896,881,388,534,750,321,
883,387,558,580,946,029,360,300,533,947,942,796,118,355,187,630,890,517,386,
756,650,246,702,457,419,170,499,303,288,924,661,712,709,374,234,023,053,211,
372,274,369,167,164,130,310,727,117,290,247,223,606,459,142,648,770,723,103,
626,758,987,568,267,331,922,547,061,624,450,094,092,153,336,915,471,267,194,
519,539,372,782,938,366,351,724,451,238,248,751,270,617,179,360,765,896,016,
131,472,993,378,474,607,369,001,067,018,642,775,518,594,180,201,104,408,778,
805,553,748,929,373,968,346,462,705,776,248,935,011,615,373,069,995,307,203,
495,120,330,858,725,271,724,048,002,099,736,746,950,576,630,995,374,324,157,
152,318,418,573,284,019,068,488,784,128,876,530,043,720,720,672,062,231,115,
122,747,117,676,681,945,460,194,335,499,948,657,964,041,454,611,376,506,521,
435,811,820,897,005,694,294,551,858,147,459,026,679,967,486,598,042,910,332,
806,599,609,792,020,949,252,782,183,433,634,418,140,483,408,755,689,603,380,
798,847,067,494,644,372,848,695,767,806,993,671,003,186,203,744,979,616,681,
382,935,423,481,365,688,454,418,240,593,583,052,979,398,962,689,944,334,760,
124,267,958,482,743,525,657,322,984,032,169,853,759,521,744,463,815,744,466,
961,548,621,895,080,651,134,283,307,722,125,469,567,710,674,591,217,213,902,
187,487,674,144,325,204,173,271,407,444,991,266,832,701,938,077,480,416,925,
855,830,114,985,509,138,378,431,375,916,982,708,969,718,044,966,855,457,992,
192,873,348,991,980,544,832,650,598,590,773,647,011,038,180,368,928,403,923,
830,234,628,926,777,122,686,839,973,452,947,487,800,125,403,955,642,343,331,
169,147,354,605,360,347,037,859,190,522,938,862,559,097,055,722,799,160,535,
601,784,492,858,564,753,553,508,719,959,627,450,926,359,040,226,948,141,201,
328,608,938,560,585,395,252,379,275,357,107,651,941,333,515,872,891,591,328,
382,748,862,486,422,491,408,184,718,412,896,229,276,110,476,268,721,660,767,
842,081,648,131,058,518,017,304,463,636,015,913,648,450,915,434,932,449,883,
304,172,046,587,110,652,623,522,983,729,247,986,656,645,239,571,391,805,307,
294,462,391,619,414,273,154,654,687,929,678,645,657,274,196,374,397,358,912,
993,047,957,320,202,907,501,187,465,273,899,423,627,168,538,081,842,158,403,
400,862,235,330,359,634,871,351,750,864,575,165,963,776,572,943,143,673,522,
525,130,151,076,291,558,535,343,888,086,634,945,069,174,193,601,663,456,631,
380,918,914,445,733,801,869,020,563,087,095,857,719,825,583,865,613,182,408,
356,674,291,994,087,642,344,450,295,499,666,676,445,827,213,704,201,261,456,
880,603,016,894,428,309,147,861,219,323,922,874,039,240,079,084,692,702,316,
017,195,989,203,166,880,096,606,303,806,128,035,449,492,195,948,420,732,761,
847,319,971,278,675,319,081,118,621,309,494,676,473,182,810,748,498,988,364,
736,624,080,801,074,656,904,435,721,264,752,557,218,780,932,220,547,281,615,
158,870,415,544,484,452,568,021,092,447,767,506,027,035,588,942,037,827,943,
140,856,274,277,062,202,263,145,213,950,329,355,273,867,945,044,061,269,594,
305,945,273,494,106,522,235,220,373,705,457,889,060,243,905,616,434,685,351,
711,158,737,699,998,032,367,969,091,148,928,062,759,273,968,119,392,424,194,
021,659,245,173,985,829,447,679,705,501,163,209,848,970,060,182,055,126,568,
271,882,546,688,803,466,066,818,124,763,359,075,344,325,366,049,211,782,024,
407,242,772,731,296,461,913,874,493,177,853,471,540,359,524,638,090,451,941,
842,172,043,078,254,818,233,804,987,512,166,518,052,299,583,313,435,813,367,
964,113,837,342,119,660,933,771,238,795,121,719,841,550,721,997,035,959,215,
712,308,250,834,540,463,176,041,051,730,895,699,765,621,148,441,252,861,455,
947,618,411,819,384,139,016,951,588,476,225,379,206,385,344,019,308,458,681,
767,360,475,240,236,822,233,756,128,028,016,558,704,280,428,036,361,180,414,
630,889,677,461,281,776,474,960,615,466,910,321,196,367,060,614,965,013,278,
787,238,160,616,916,200,421,741,776,774,987,169,168,649,329,170,685,592,541,
188,716,038,228,044,474,595,029,010,761,165,518,200,648,140,829,512,469,854,
192,030,542,539,979,639,170,124,488,172,820,960,720,827,971,607,716,989,592,
619,034,599,466,929,201,243,591,912,164,929,430,691,203,042,221,859,744,790,
991,005,115,761,461,069,882,841,649,891,953,663,498,699,282,858,039,532,943,
741,875,364,091,447,103,958,731,154,728,015,465,978,499,639,129,144,457,464,
955,080,838,531,892,088,203,944,964,542,052,849,070,018,908,357,141,021,854,
839,927,229,200,151,472,761,650,730,011,167,037,081,651,214,591,223,067,889,
168,470,159,795,453,340,377,438,959,373,382,866,121,758,637,340,662,157,947,
504,553,618,950,771,647,909,602,027,928,624,780,936,489,943,218,155,331,629,
811,720,317,042,121,461,316,948,956,349,964,731,567,570,932,767,317,833,419,
937,443,409,755,659,583,867,953,271,744,395,259,115,004,169,912,579,914,148,
686,072,367,270,534,198,101,783,918,489,689,775,353,111,962,050,770,281,438,
786,832,198,465,052,182,070,723,441,671,366,564,044,320,308,730,143,006,060,
271,026,902,589,987,883,657,077,281,568,390,346,411,139,934,294,695,731,514,
678,369,653,823,706,005,695,151,055,707,059,429,547,676,489,800,972,979,887,
745,239,258,653,746,386,666,161,890,819,118,891,719,662,582,618,431,134,794,
938,211,925,170,432,616,205,330,429,576,897,774,114,571,382,174,559,629,641,
919,643,500,398,927,289,703,360,918,792,849,489,942,086,193,775,741,704,661,
799,473,356,510,683,894,449,567,170,364,031,119,951,714,123,245,707,148,490,
153,548,016,471,698,966,247,092,290,138,772,551,706,968,454,092,255,706,314,
701,692,067,379,482,047,468,094,782,874,406,686,513,366,385,818,814,893,468,
879,927,261,915,796,511,977,340,666,462,715,502,278,543,779,203,450,712,382,
066,870,644,050,120,573,859,580,686,956,252,769,780,994,339,601,764,917,335,
174,931,510,090,160,301,121,863,614,065,209,963,512,635,317,779,277,104,989,
604,875,197,872,346,268,372,834,970,550,732,686,587,201,658,311,988,021,963,
025,498,199,459,867,128,132,686,793,417,182,564,918,668,085,013,928,595,542,
709,825,801,302,700,882,922,344,899,265,301,149,954,553,756,385,658,953,862,
156,089,601,374,491,876,591,774,590,998,877,408,325,215,160,763,847,386,284,
260,733,901,994,958,565,112,957,521,207,297,516,854,883,375,859,351,006,899,
701,035,875,861,919,997,055,083,890,149,758,713,802,044,468,359,000,435,886,
604,651,872,240,580,541,944,850,769,963,067,683,067,114,991,789,715,227,430,
903,498,040,562,464,677,482,495,124,503,186,714,904,386,640,749,186,436,216,
986,450,749,248,760,106,810,071,520,675,930,270,047,561,846,863,620,194,913,
720,048,141,128,789,234,057,348,444,170,068,116,237,614,806,862,407,392,969,
272,131,037,236,200,393,931,641,497,827,411,092,120,741,677,344,229,039,120,
254,700,827,237,211,527,426,193,013,585,124,207,822,655,853,339,483,017,224,
127,081,207,296,022,255,201,060,802,781,078,061,164,746,604,480,167,248,605,
284,717,795,502,957,102,768,701,762,171,545,912,062,878,613,117,260,627,356,
090,642,705,104,010,417,411,568,613,633,639,075,394,169,349,095,260,137,520,
364,724,495,171,437,086,934,593,251,608,745,897,567,176,231,433,631,764,103,
643,625,770,690,394,231,995,455,756,821,145,826,780,318,718,160,628,602,423,
595,698,989,342,951,879,974,483,180,323,658,032,118,323,724,756,693,501,256,
074,181,057,314,326,569,269,358,816,972,128,622,006,051,212,839,521,888,182,
019,169,252,270,338,106,113,069,145,619,967,508,086,152,538,874,251,690,285,
855,444,911,437,847,379,087,154,979,989,882,815,170,928,197,813,331,691,633,
265,779,700,447,777,650,493,327,249,004,269,132,355,630,562,268,040,939,034,
437,107,169,624,953,784,908,134,091,105,675,067,437,994,009,604,039,985,367,
646,056,356,012,273,081,511,213,311,077,420,153,861,250,574,843,735,679,017,
114,828,764,974,316,406,158,649,763,718,395,956,186,769,439,993,693,014,579,
363,843,568,610,707,206,168,339,591,808,556,441,923,585,484,889,161,900,183,
595,918,503,994,207,837,342,528,203,361,262,318,906,947,914,091,178,060,225,
004,921,526,008,285,820,226,077,014,921,981,431,637,294,550,496,581,637,462,
550,683,459,388,782,738,973,090,701,627,722,771,813,993,445,447,663,241,182,
743,044,979,906,298,326,844,977,866,100,182,490,563,122,543,038,267,791,641,
745,274,064,890,974,286,588,108,470,840,367,874,000,061,450,122,669,368,788,
950,341,438,512,184,140,683,399,587,896,890,527,426,983,005,286,079,201,274,
258,156,401,121,314,999,616,523,845,526,496,739,291,875,355,361,488,052,458,
808,963,368,821,612,286,691,545,556,235,673,400,587,266,697,261,355,908,924,
415,790,207,950,019,131,615,287,552,510,507,794,715,709,281,373,388,632,006,
960,774,141,109,313,753,610,350,259,581,103,161,661,219,895,521,991,882,451,
738,679,600,742,762,428,710,361,526,811,001,235,172,275,672,013,052,420,329,
126,220,549,321,254,130,423,660,972,000,448,412,257,255,937,870,433,767,423,
038,421,341,684,012,563,041,917,075,519,794,189,229,298,952,348,826,389,719,
858,084,069,795,495,786,078,898,516,004,627,574,491,034,932,875,567,597,078,
349,988,537,293,885,460,382,764,993,357,626,288,416,612,133,289,040,990,937,
830,705,565,353,999,942,517,139,838,368,870,413,082,085,905,983,531,467,573,
584,794,060,582,667,334,734,061,146,271,362,315,487,372,080,578,944,616,371,
935,558,747,480,232,668,820,612,556,160,357,697,282,077,390,450,454,659,199,
390,059,175,621,335,890,941,627,395,028,282,134,483,451,616,642,158,614,055,
661,238,378,187,736,465,862,329,070,145,758,362,493,082,882,528,319,617,058,
448,340,412,382,165,116,115,842,419,065,234,267,625,489,176,872,093,609,155,
678,785,616,607,231,029,183,900,317,402,570,855,673,282,173,564,209,409,835,
166,062,424,217,681,745,074,880,579,067,295,001,182,150,539,799,717,380,104,
800,563,566,253,116,229,130,528,995,341,495,402,314,773,463,465,400,490,961,
264,447,899,053,209,669,471,541,601,550,475,396,668,107,747,251,322,498,038,
156,011,674,399,934,496,609,384,891,015,126,070,274,710,819,991,708,326,312,
701,650,654,797,356,755,176,395,451,270,103,843,400,183,044,630,726,714,913,
964,472,112,980,831,485,927,430,183,246,360,189,197,730,698,126,956,763,912,
801,849,019,574,334,931,027,595,987,496,404,290,805,064,524,880,545,905,582,
372,340,183,927,377,885,094,923,920,218,486,840,538,000,070,356,663,982,226,
354,893,146,864,903,489,458,255,108,149,314,632,585,207,055,159,643,181,752,
260,612,443,906,251,789,203,206,451,621,421,403,771,801,552,366,328,429,060,
361,598,035,337,736,610,970,590,033,397,445,598,228,715,719,603,294,722,407,
998,200,522,868,133,509,166,561,179,619,830,447,966,828,379,971,111,651,745,
048,909,758,760,842,307,523,503,158,574,955,100,457,333,333,581,818,039,100,
412,384,437,824,135,285,302,500,743,542,053,469,284,096,474,107,403,314,413,
583,387,177,641,750,194,273,675,805,949,827,041,493,758,130,797,471,785,348,
810,937,805,542,831,559,337,055,321,449,862,251,481,573,113,255,545,711,314,
309,536,775,745,909,549,461,906,497,595,758,030,636,044,641,145,713,288,563,
528,206,634,400,752,019,708,916,634,152,537,727,067,852,746,645,923,398,719,
430,780,462,528,058,215,936,283,125,291,938,504,192,184,195,398,770,680,686,
752,451,658,411,644,818,482,804,465,297,364,921,646,923,085,788,489,199,694,
411,069,440,860,327,242,721,100,702,377,037,776,170,878,320,860,990,336,929,
710,008,187,330,069,959,268,590,217,851,032,946,364,829,956,358,956,204,818,
371,821,750,577,429,350,606,908,796,224,509,611,856,047,408,331,153,292,814,
744,093,902,920,065,249,522,052,295,853,606,636,734,318,576,702,144,235,276,
753,622,704,021,283,250,800,774,241,373,139,657,787,251,224,764,792,996,997,
770,774,008,788,380,317,118,643,276,992,275,204,329,877,068,372,753,171,569,
417,311,954,541,994,346,230,018,125,798,239,733,178,478,781,038,460,864,702,
662,774,591,989,541,217,703,969,437,994,336,159,653,791,154,047,874,866,886,
246,517,621,771,095,887,884,519,343,081,945,104,125,203,520,875,387,952,281,
975,064,371,288,009,685,326,951,548,730,559,108,883,952,282,391,531,855,152,
335,826,011,267,753,308,832,768,370,314,367,380,350,123,195,957,768,324,365,
040,037,129,856,109,014,700,118,116,319,084,422,544,769,110,349,253,177,555,
602,151,240,790,574,819,243,089,953,985,751,230,720,915,249,500,501,282,888,
662,705,726,121,889,044,545,555,808,937,912,683,840,791,551,191,300,464,485,
773,943,693,974,475,723,828,039,986,321,631,232,600,954,312,653,662,951,539,
755,422,855,750,639,830,756,308,187,002,307,997,421,137,927,602,321,579,188,
296,796,111,050,807,730,344,265,790,964,397,804,678,040,145,639,471,961,745,
657,315,981,216,560,251,757,762,658,602,531,787,167,704,426,160,008,515,906,
916,365,849,830,583,165,691,809,458,247,824,695,557,235,331,517,166,153,097,
606,954,635,719,172,681,387,666,737,925,971,860,400,133,955,556,294,104,094,
162,218,088,516,361,655,790,652,427,239,626,590,241,462,816,434,608,168,152,
790,643,278,196,669,738,359,093,836,229,906,468,049,950,705,040,001,251,259,
222,936,036,864,270,743,154,545,908,369,046,320,561,715,156,282,695,880,874,
864,292,108,505,146,950,609,158,529,606,734,712,881,456,684,475,053,492,096,
756,290,234,152,298,861,227,120,347,048,939,335,236,008,087,627,097,241,827,
066,790,271,645,044,208,686,703,464,822,712,070,170,710,762,447,860,303,162,
867,663,666,330,522,906,135,783,911,054,687,610,777,500,087,086,598,997,411,
548,891,242,024,917,798,246,518,515,199,885,899,644,247,063,496,585,693,154,
609,015,393,904,875,728,176,215,529,326,075,071,648,837,676,809,845,030,933,
157,829,467,007,035,964,994,582,065,237,275,626,821,058,538,101,771,438,096,
996,254,215,337,237,869,806,122,504,148,303,245,152,972,408,094,094,566,981,
871,347,439,645,680,837,663,382,180,727,796,146,359,878,099,675,508,359,522,
260,705,832,673,922,953,830,484,581,427,962,324,979,250,029,986,185,980,138,
983,645,825,814,159,801,610,589,256,280,561,796,019,172,576,813,126,622,692,
347,822,946,743,417,539,003,361,879,488,714,957,777,504,967,032,409,023,465,
148,396,803,343,778,265,893,003,946,448,733,242,760,100,820,797,005,754,214,
765,284,170,342,455,046,184,352,349,208,267,003,742,179,752,379,853,325,630,
920,072,764,794,265,222,849,478,025,497,506,654,229,715,640,395,698,064,888,
875,027,391,993,867,752,593,125,227,769,115,788,675,077,699,873,737,287,632,
189,760,879,067,924,889,508,320,127,307,941,463,818,587,499,286,743,478,480,
650,440,223,168,810,974,724,083,000,615,066,968,373,986,355,686,279,685,509,
448,148,894,882,465,558,832,807,394,975,760,258,424,200,044,725,795,134,106,
881,129,784,177,069,823,091,875,716,088,881,986,681,114,541,587,133,470,729,
561,028,867,967,881,833,790,932,365,416,794,459,511,572,216,981,765,505,935,
417,157,299,068,970,539,207,265,770,022,539,695,469,123,846,759,571,044,249,
454,934,247,723,396,142,248,354,726,859,639,191,008,572,822,270,377,492,203,
548,376,600,959,857,721,028,109,565,060,147,687,721,912,351,085,251,093,803,
099,199,520,121,003,673,622,661,166,106,373,533,250,760,368,654,337,480,160,
846,857,625,264,023,383,841,438,623,217,547,133,857,842,914,868,678,641,615,
462,446,069,150,448,090,999,810,973,066,163,785,463,040,647,546,493,698,971,
182,102,721,865,966,318,516,661,236,668,422,634,272,126,655,835,488,456,305,
184,076,665,890,602,476,207,890,209,558,689,586,656,601,936,240,806,252,873,
593,470,977,075,610,908,658,523,647,100,296,313,601,070,265,833,580,019,845,
148,910,909,431,041,970,021,269,869,785,162,302,321,355,133,299,527,961,879,
062,595,184,317,512,985,440,661,352,281,543,120,923,251,842,304,136,836,467,
008,783,580,318,702,404,196,705,141,463,761,510,187,811,246,307,481,787,701,
931,668,866,182,674,856,285,146,680,403,578,796,842,960,170,473,309,431,239,
604,075,343,995,359,831,425,425,961,843,333,576,051,870,370,829,097,030,169,
626,735,136,671,808,234,736,222,532,306,306,133,872,915,855,933,327,320,332,
775,204,059,210,637,284,152,753,594,254,611,583,317,076,158,125,167,375,293,
839,715,648,509,318,351,400,932,951,840,275,107,464,136,955,231,802,386,151,
197,629,992,553,004,688,413,806,668,821,066,803,044,436,362,890,149,208,510,
623,105,081,260,553,871,546,835,190,566,737,233,352,026,892,842,621,592,109,
028,314,449,750,624,736,434,180,599,659,696,542,492,091,352,310,373,540,536,
925,160,345,769,355,993,208,361,114,120,611,822,739,907,963,533,426,362,872,
275,850,044,780,692,311,582,955,745,859,881,038,952,183,761,123,988,400,295,
211,251,239,898,662,440,040,711,673,905,518,004,957,962,158,947,381,662,512,
629,869,913,577,051,504,628,009,648,740,288,422,391,508,237,227,326,150,299,
833,325,251,885,230,067,787,112,147,659,429,490,784,281,839,805,747,612,057,
105,004,134,649,295,209,180,959,114,203,669,784,851,462,815,202,996,602,368,
719,256,503,665,976,585,221,290,332,048,238,145,832,382,702,825,556,266,792,
996,311,267,960,643,719,772,064,832,377,754,358,041,556,847,979,712,026,365,
426,355,475,345,483,834,950,844,628,939,725,594,267,082,663,159,006,833,214,
653,611,626,839,012,827,844,277,648,634,369,290,158,692,324,208,715,033,097,
610,161,620,117,757,901,230,097,409,078,151,385,898,301,871,936,522,757,345,
046,460,933,813,619,998,425,153,191,555,220,403,472,230,612,377,464,345,933,
108,369,811,302,875,994,850,148,046,425,005,976,197,839,787,863,615,140,586,
779,906,125,974,529,506,250,364,328,642,948,759,691,629,298,906,422,121,630,
072,861,238,247,150,337,474,592,426,197,110,438,763,349,852,686,088,289,870,
294,365,451,695,568,245,671,071,424,776,495,015,501,400,926,302,678,211,614,
827,150,679,041,001,211,677,013,188,329,944,288,663,549,466,788,530,547,575,
702,393,175,440,278,379,305,324,840,625,392,147,916,010,077,672,306,300,179,
524,716,707,766,899,553,606,271,890,464,337,473,666,229,152,760,144,323,504,
247,969,576,237,022,387,079,730,525,927,280,920,899,627,785,556,518,350,821,
852,587,882,565,867,788,103,544,028,763,605,377,480,438,603,957,662,593,557,
240,690,433,688,757,182,212,112,710,442,078,922,828,162,048,739,355,782,146,
846,651,159,295,958,732,633,672,554,087,827,063,467,489,783,231,766,063,927,
183,226,365,801,771,143,121,680,464,285,168,583,550,322,663,193,873,773,030,
694,154,819,837,810,452,690,898,204,253,346,172,670,879,516,975,242,432,928,
822,155,068,878,658,748,989,620,596,706,473,121,190,587,033,266,745,766,171,
085,692,412,081,099,706,638,773,002,763,270,386,378,719,369,060,775,176,134,
365,657,758,019,693,418,501,289,963,537,687,749,988,426,407,123,259,559,229,
637,596,791,301,036,564,017,918,389,065,609,728,011,648,489,851,181,513,118,
772,616,430,207,404,714,169,969,144,443,975,433,636,263,352,232,055,234,945,
546,338,893,648,447,731,417,443,921,855,450,392,898,001,344,430,036,501,068,
657,635,611,768,819,210,685,807,162,982,131,324,842,093,810,601,815,115,261,
761,234,301,530,584,454,568,663,724,706,686,918,154,968,480,466,898,465,820,
587,618,906,671,572,054,564,771,173,093,861,814,431,208,124,313,759,186,058,
810,549,387,088,982,119,929,680,899,977,631,003,922,464,583,769,248,128,441,
462,052,225,646,503,909,210,195,034,538,680,950,078,124,604,208,600,458,136,
105,912,165,540,503,185,494,371,949,019,413,111,054,179,622,702,495,098,859,
087,179,147,053,412,999,045,351,018,983,306,169,134,888,030,673,708,818,568,
280,191,045,214,790,018,348,879,460,602,000,604,542,813,794,194,811,396,873,
112,598,948,191,538,085,078,697,749,362,081,799,695,696,575,243,574,128,264,
363,451,637,694,904,893,678,997,677,977,241,583,779,378,404,579,555,404,680,
365,538,117,706,256,876,105,634,463,183,389,554,446,940,833,420,735,796,614,
748,588,571,632,863,450,038,227,888,512,344,637,848,437,143,370,703,314,552,
518,936,363,913,392,837,256,568,938,925,744,820,369,301,244,598,733,844,510,
653,984,294,757,636,623,880,997,541,242,812,439,235,152,016,736,276,981,851,
682,458,661,364,777,453,060,413,366,840,983,162,850,324,664,165,743,419,754,
853,603,259,767,232,490,513,799,835,554,246,350,591,095,509,305,377,698,476,
184,590,533,424,548,779,933,138,880,208,341,973,390,999,004,855,926,277,143,
377,514,877,576,832,741,895,948,492,073,797,362,965,991,625,020,118,293,298,
316,342,618,378,422,229,684,595,638,252,522,369,252,572,968,124,510,628,441,
812,038,345,782,971,840,244,083,656,689,322,690,525,838,797,880,265,977,324,
341,217,257,822,261,776,498,460,605,739,667,026,000,600,096,271,782,332,342,
763,975,433,162,185,479,395,271,174,525,378,370,827,677,850,980,150,859,057,
732,122,097,450,941,358,261,887,853,184,879,888,827,392,851,651,364,690,687,
460,106,284,577,233,983,603,157,388,225,788,393,161,382,530,154,866,971,469,
515,252,628,292,507,932,323,422,600,555,259,309,665,672,187,204,459,739,002,
162,147,868,375,907,436,534,404,778,141,845,013,827,284,499,613,556,729,454,
891,728,519,513,920,115,818,631,905,179,806,697,395,115,062,561,030,225,869,
753,502,618,885,737,357,622,042,827,685,998,042,830,998,119,719,145,215,846,
219,515,865,840,631,827,807,189,134,345,315,756,549,308,331,544,471,628,573,
194,340,617,858,109,000,654,603,280,108,632,703,446,685,349,503,771,886,717,
243,011,697,544,408,007,858,514,741,648,529,592,653,559,060,555,995,580,981,
630,967,131,562,205,630,499,400,091,174,351,571,761,756,204,250,180,272,974,
314,404,764,364,225,209,488,632,631,889,017,202,377,575,181,169,419,023,817,
534,094,068,465,064,459,799,502,859,010,805,349,891,046,890,815,463,379,787,
121,588,716,551,523,421,343,103,293,073,127,780,536,112,427,596,011,650,738,
091,906,250,213,643,976,907,874,629,066,959,990,554,499,825,337,599,775,188,
293,625,793,418,111,312,928,422,587,439,286,870,513,737,691,508,047,227,099,
484,967,016,762,348,172,805,758,356,857,956,757,727,350,670,670,459,884,973,
104,926,883,827,191,340,681,755,658,296,317,347,316,596,208,561,758,143,818,
847,202,256,395,150,053,052,729,694,470,782,500,227,185,244,416,128,462,718,
468,198,251,737,015,195,461,660,642,825,025,025,704,167,502,940,098,326,754,
877,673,044,091,055,867,589,252,325,800,077,674,170,262,147,145,769,270,675,
246,605,981,195,853,068,160,921,617,283,953,947,759,854,465,960,084,138,862,
984,145,449,467,860,808,358,133,196,332,525,483,476,540,730,696,640,156,037,
067,228,741,643,819,112,920,427,602,485,066,206,970,916,199,366,088,091,578,
480,150,727,169,154,248,700,657,648,810,933,828,357,194,757,780,031,946,267,
228,854,058,168,909,638,199,555,264,686,631,838,029,410,125,098,466,366,127,
625,237,030,228,965,675,717,419,727,336,098,364,432,134,049,498,567,448,680,
900,147,979,768,248,996,866,476,626,851,382,910,177,748,277,613,512,527,424,
280,526,609,153,130,834,711,934,395,734,190,995,770,687,563,577,302,897,015,
127,363,245,081,711,710,801,645,019,047,217,834,380,569,517,654,536,481,897,
989,979,150,852,531,123,366,496,352,218,765,524,390,714,933,511,479,143,251,
246,006,561,147,158,397,484,801,455,701,351,029,250,915,379,530,367,460,820,
846,151,644,349,049,481,921,558,738,882,673,431,872,322,855,202,193,225,156,
670,110,808,883,633,206,010,214,184,368,017,476,914,186,729,407,455,571,119,
883,602,132,004,525,684,774,160,586,487,330,443,555,689,154,914,929,879,487,
379,338,850,614,603,675,643,486,171,956,067,397,902,720,010,672,164,523,012,
002,620,953,827,455,121,066,358,262,320,277,145,564,188,731,522,836,781,247,
994,406,980,777,613,047,586,602,629,367,950,528,293,704,435,201,416,825,184,
966,806,163,474,617,764,738,847,183,089,798,015,712,914,328,259,395,152,457,
200,745,692,807,694,389,082,341,416,786,479,227,510,843,843,831,431,247,249,
252,832,756,642,171,957,519,711,318,899,872,906,868,405,293,837,110,682,214,
981,469,785,377,867,937,209,769,453,213,586,141,258,752,242,321,175,573,128,
413,161,600,828,024,240,043,767,616,597,989,590,371,863,525,070,284,374,407,
779,549,131,719,891,629,203,653,983,186,003,123,767,798,289,276,229,465,892,
069,564,851,222,130,432,503,444,286,665,563,952,433,184,348,843,161,235,360,
386,449,719,735,582,008,876,990,184,956,776,954,021,248,605,622,766,556,039,
032,764,041,016,146,204,650,108,249,064,397,837,710,826,426,181,504,601,676,
992,106,016,164,911,077,759,134,539,932,352,589,315,731,148,496,128,571,923,
893,246,568,565,867,633,070,912,069,624,221,762,076,748,847,623,198,179,089,
180,012,473,253,375,400,954,148,806,242,567,283,688,339,139,251,724,084,269,
841,850,405,787,176,795,737,803,935,426,056,435,416,673,267,171,527,098,868,
119,637,525,391,804,655,706,870,963,525,338,914,050,697,625,245,830,606,795,
354,960,036,100,269,734,654,247,260,752,978,431,859,143,542,429,339,288,358,
081,950,564,326,897,801,211,117,237,640,424,921,069,158,583,355,169,272,375,
667,370,411,793,043,609,382,628,365,124,086,341,762,061,017,523,070,181,611,
855,634,907,193,223,398,711,217,628,812,715,157,766,947,188,256,950,577,575,
527,821,572,784,290,943,160,764,588,815,053,150,934,017,122,652,346,200,546,
418,715,008,634,117,258,143,925,757,586,823,743,991,121,398,287,386,761,469,
962,874,883,374,505,621,156,883,968,956,800,049,802,928,127,125,270,883,369,
108,804,802,813,613,119,192,226,379,513,762,690,191,169,132,853,910,604,463,
135,709,737,058,779,883,488,837,255,340,397,358,165,269,292,171,013,678,381,
699,779,504,131,309,515,013,145,442,229,403,075,508,853,015,944,216,697,268,
995,213,877,720,065,574,830,994,807,972,475,167,622,473,568,302,404,395,491,
234,445,938,762,405,731,377,550,575,504,175,353,811,486,199,846,387,606,485,
832,948,639,334,931,927,040,215,295,548,026,251,340,359,697,690,704,396,648,
808,401,409,196,472,953,807,612,706,165,439,952,102,156,794,178,221,005,543,
391,046,079,429,101,616,516,163,141,506,675,830,669,376,883,564,445,794,284,
633,004,376,624,500,404,361,820,399,803,414,789,224,961,298,674,950,829,599,
391,820,179,829,988,440,149,168,750,931,145,933,534,714,105,365,119,037,841,
923,199,764,120,435,354,645,370,716,967,452,222,090,064,008,047,354,943,132,
024,136,929,839,198,801,613,399,101,593,325,430,175,739,843,347,093,553,950,
353,884,861,508,654,933,997,861,206,374,690,184,542,511,688,201,748,554,147,
092,197,496,265,836,860,751,295,127,586,820,201,808,151,629,946,145,312,786,
153,148,060,193,751,037,551,543,196,625,084,329,578,620,158,399,184,542,010,
300,519,067,497,030,823,166,272,941,613,938,336,628,025,441,028,662,233,189,
336,959,951,919,140,208,427,623,907,568,139,359,002,436,247,404,927,214,455,
586,028,365,064,565,203,686,156,948,345,813,367,352,392,649,450,107,396,246,
703,831,041,071,242,721,649,229,200,254,308,431,736,852,229,297,185,283,228,
291,724,334,335,751,100,834,857,072,341,885,836,815,070,273,670,798,039,323,
130,058,922,715,501,235,463,977,571,162,220,155,387,366,818,232,882,569,518,
891,451,046,650,453,592,270,148,851,397,369,137,832,071,343,187,014,726,214,
081,124,255,452,604,788,307,945,219,729,509,979,036,399,877,465,629,408,648,
078,395,908,064,636,813,870,518,749,775,090,157,074,463,368,842,910,129,663,
883,334,828,958,306,188,743,687,389,839,483,893,387,765,698,103,443,762,950,
106,978,296,677,944,106,675,298,240,681,388,637,603,897,308,391,304,680,622,
073,300,719,778,192,253,417,462,000,329,942,146,040,141,888,968,844,461,026,
510,343,340,106,339,372,477,695,768,492,819,048,784,702,721,666,464,479,793,
691,435,941,893,740,297,705,039,634,010,867,960,406,315,444,558,939,889,420,
730,649,654,098,216,624,415,214,557,429,219,702,984,868,689,672,715,456,874,
950,443,869,877,398,566,141,729,201,223,139,375,870,035,743,383,528,810,136,
356,901,167,566,201,967,698,163,228,687,349,286,534,684,346,533,778,947,124,
827,507,248,045,261,772,025,227,378,903,979,758,539,381,563,277,514,727,758,
568,463,124,028,769,397,983,134,242,153,798,463,627,797,156,318,997,428,276,
246,643,470,830,574,140,716,866,867,522,151,552,061,102,015,981,754,014,325,
045,164,406,006,906,676,585,138,632,255,117,284,234,878,310,333,161,773,862,
580,820,058,737,025,362,556,814,530,633,183,253,543,621,538,176,869,398,416,
442,842,159,924,740,859,899,332,616,776,383,783,934,652,239,633,653,494,930,
355,404,931,633,325,754,563,390,496,262,569,927,758,713,720,043,871,811,728,
971,052,758,856,157,310,299,663,251,389,221,079,998,130,397,111,471,221,689,
349,002,779,187,437,735,223,755,489,836,975,364,574,660,831,829,412,156,502,
628,627,667,538,924,843,137,319,552,610,722,764,200,678,719,759,790,671,882,
312,053,145,290,023,730,072,694,824,515,748,796,490,190,796,460,774,753,408,
012,872,475,239,484,917,350,299,227,385,947,016,873,941,184,880,791,188,439,
227,020,111,089,310,413,940,287,699,855,430,968,191,036,340,453,619,427,196,
536,292,005,924,069,081,929,484,181,998,977,898,150,451,241,905,939,324,415,
545,792,156,390,244,917,940,745,484,895,491,662,144,630,447,645,026,939,453,
057,367,620,573,741,913,434,163,315,866,425,763,077,329,705,068,852,428,900,
959,728,887,618,659,770,110,632,436,748,224,988,742,035,416,430,983,356,090,
136,122,889,332,195,047,774,872,938,174,226,310,143,610,699,123,163,273,779,
634,896,778,275,351,165,708,164,122,701,448,647,736,488,942,436,948,750,835,
699,271,690,971,883,096,880,036,085,301,358,393,615,721,281,388,961,329,586,
884,192,897,920,483,412,092,903,029,432,984,677,497,897,697,515,514,021,003,
178,766,411,812,944,364,565,742,578,264,416,995,700,107,428,594,469,394,718,
481,736,825,814,345,531,834,617,190,025,701,930,666,357,856,948,324,495,877,
780,422,804,596,334,108,684,229,364,025,838,675,382,484,762,399,771,247,166,
229,030,475,038,892,140,430,923,662,624,260,024,016,910,329,238,852,432,851,
790,004,053,584,611,927,996,796,601,407,299,981,377,465,011,269,857,890,430,
830,803,806,669,499,963,525,303,387,985,504,659,247,289,637,755,151,124,975,
183,557,539,479,294,159,977,598,442,006,107,043,038,900,837,390,819,408,464,
891,135,703,967,033,438,673,741,440,744,343,822,821,627,345,300,603,827,795,
445,443,061,119,049,096,626,034,161,933,799,306,122,656,288,320,123,906,072,
110,157,295,019,065,174,013,278,350,968,814,559,056,417,294,419,124,159,959,
387,184,160,599,787,236,507,528,658,005,980,643,182,564,838,666,123,948,777,
835,896,429,882,972,461,694,346,319,290,210,667,377,081,713,815,194,102,874,
219,355,420,544,901,050,856,821,683,342,939,902,447,017,866,460,861,583,128,
514,699,299,464,199,859,663,072,304,327,957,295,538,279,048,147,162,802,687,
370,367,774,444,923,889,095,503,369,769,840,747,628,385,737,051,913,482,538,
617,836,479,961,079,306,531,718,554,325,268,279,589,176,218,090,142,324,507,
593,415,862,763,450,479,919,910,680,566,131,227,313,127,375,314,255,870,299,
005,883,710,131,060,709,436,868,841,346,687,896,408,226,982,481,470,672,270,
668,829,047,895,514,922,599,264,721,187,268,637,142,572,602,934,982,472,274,
999,645,500,305,829,891,165,172,636,608,344,628,482,628,699,321,254,672,993,
254,754,727,064,625,708,664,541,347,475,718,423,007,193,185,856,261,366,641,
840,674,369,325,019,203,622,296,556,309,979,151,615,723,261,625,895,433,635,
961,095,480,202,715,819,123,257,456,507,160,303,388,561,048,189,299,354,701,
753,614,488,412,373,481,372,670,041,899,899,918,224,611,697,459,691,332,698,
519,635,462,649,604,847,837,465,513,973,540,176,290,125,306,826,493,704,428,
708,116,632,199,229,227,217,743,991,719,743,125,292,904,609,465,559,615,990,
044,582,731,005,768,806,499,151,267,762,216,211,214,912,398,429,763,551,462,
589,200,799,771,404,147,432,720,651,114,074,845,443,259,372,881,414,542,736,
562,275,866,265,569,746,088,800,805,999,996,694,291,155,053,885,247,250,989,
407,793,630,391,536,054,709,084,137,920,187,671,923,401,171,436,343,351,141,
577,518,477,776,937,305,601,383,016,968,725,755,060,818,249,846,814,892,549,
322,245,870,516,895,116,206,664,374,723,016,258,948,983,185,088,717,899,046,
339,928,579,044,922,122,359,921,074,472,191,895,348,984,054,283,877,340,696,
991,496,256,496,617,813,405,652,119,896,180,550,173,234,418,264,866,128,008,
411,857,984,432,023,755,692,721,756,339,680,338,653,770,310,439,440,018,557,
336,273,648,218,149,884,690,818,983,344,849,660,739,878,752,784,016,056,813,
234,288,772,181,164,746,974,874,581,163,808,750,403,139,161,153,785,359,140,
559,827,374,475,149,129,168,980,342,531,545,001,417,032,374,498,787,395,842,
996,425,165,182,252,048,524,701,644,133,610,744,691,754,425,648,545,269,136,
159,389,306,376,342,271,846,001,863,757,817,870,651,732,010,941,569,266,600,
400,426,861,877,219,444,964,740,324,686,587,307,214,032,752,235,963,270,469,
989,774,528,194,580,576,218,622,146,600,034,794,190,149,571,674,778,716,207,
704,044,386,280,529,465,224,426,935,266,957,780,805,877,863,309,827,091,557,
959,100,103,164,487,587,086,681,739,765,020,571,682,789,560,198,808,682,196,
135,693,292,954,964,392,662,999,849,118,417,391,840,107,211,259,928,418,382,
457,247,796,482,142,378,636,856,251,732,106,050,632,146,490,773,697,689,247,
885,768,753,759,703,704,603,755,292,540,286,167,747,793,886,694,286,849,084,
026,092,057,460,750,944,323,112,768,987,408,456,663,202,285,749,740,178,828,
001,104,172,965,088,845,984,310,580,831,122,377,473,220,745,699,736,080,618,
176,457,907,617,871,113,550,715,782,966,616,395,035,431,916,058,944,100,230,
144,499,944,818,076,280,677,304,268,867,933,955,743,786,221,814,653,720,287,
831,086,598,422,654,752,648,690,362,662,969,754,825,590,779,914,938,272,430,
843,818,495,741,178,006,225,788,740,381,820,721,839,845,955,450,356,231,966,
561,280,890,876,254,173,085,820,327,108,067,974,587,616,177,307,506,682,786,
971,586,544,084,950,304,396,402,338,020,374,120,402,600,636,999,643,834,146,
624,059,277,854,738,054,750,410,875,416,433,092,512,637,853,186,044,146,394,
909,793,473,408,914,741,152,435,817,228,987,109,619,499,217,652,996,616,269,
797,412,751,064,416,220,130,745,229,322,968,999,850,154,161,471,888,481,679,
801,760,243,938,032,815,225,034,810,897,797,342,278,796,643,218,540,987,330,
875,904,805,202,078,507,501,868,736,431,233,376,666,534,344,929,355,786,800,
429,713,653,904,335,887,853,949,585,847,998,495,526,459,271,095,388,993,275,
493,021,453,733,437,343,171,269,214,139,072,043,169,790,281,223,202,488,706,
302,233,121,271,830,142,563,549,660,685,427,184,438,119,142,035,607,808,104,
854,875,382,534,569,800,248,770,620,076,894,960,182,133,130,425,437,569,547,
551,226,992,310,003,523,976,815,768,034,526,296,916,984,770,908,436,145,963,
158,655,409,977,926,487,614,348,234,338,285,361,526,142,497,915,287,888,401,
696,377,158,744,329,003,170,158,496,577,571,214,887,613,861,007,524,150,593,
455,239,251,891,219,127,500,812,887,365,164,211,157,041,948,238,823,773,818,
159,044,125,751,888,006,584,403,621,755,559,551,832,108,334,154,847,252,966,
014,795,683,033,901,717,321,889,371,735,530,753,169,836,625,995,857,041,401,
056,441,948,633,398,867,658,599,699,258,510,290,719,286,894,512,256,326,019,
356,799,494,602,100,616,961,562,021,223,549,961,080,862,561,713,978,751,223,
349,835,277,454,418,025,733,151,930,236,964,267,463,980,864,146,276,057,172,
039,714,894,356,062,407,918,669,560,825,860,713,664,222,811,420,770,769,581,
404,590,874,136,795,830,248,175,449,405,097,453,216,997,751,997,731,158,105,
392,022,110,365,766,699,762,296,154,490,215,179,144,070,523,645,895,659,373,
975,567,977,028,793,040,037,532,976,998,406,470,591,231,853,090,108,580,746,
221,574,044,834,344,037,038,381,138,787,796,017,144,711,158,643,160,612,438,
682,660,487,348,129,011,911,101,427,391,732,940,812,164,814,977,996,456,221,
845,364,714,605,041,893,086,561,798,160,867,010,571,438,269,655,875,726,922,
509,551,036,122,692,017,909,944,692,635,883,636,582,322,397,411,592,399,680,
535,389,576,863,050,699,970,778,513,373,395,718,510,406,725,835,898,930,078,
445,945,744,411,429,985,951,320,873,572,185,289,889,912,761,813,644,474,466,
126,752,433,872,246,882,427,342,787,816,404,950,159,633,679,610,211,883,374,
137,946,170,965,645,070,884,437,305,523,241,345,909,369,869,382,685,117,762,
477,096,121,331,378,262,767,186,735,731,928,881,176,069,652,597,745,856,733,
319,989,592,413,626,598,959,109,902,440,097,531,682,997,168,680,144,198,447,
500,668,717,930,320,438,641,880,207,971,769,750,405,647,129,968,875,919,370,
987,421,203,806,524,158,963,376,754,255,399,607,508,812,979,731,231,598,697,
634,135,002,991,207,190,994,288,541,564,501,571,151,044,954,807,091,243,589,
214,212,622,535,416,764,055,661,011,605,059,101,573,285,566,684,557,764,058,
865,295,911,915,660,415,621,671,671,608,985,054,286,644,416,141,150,533,395,
141,487,570,763,994,740,960,940,428,340,179,149,714,532,172,579,294,114,060,
039,612,191,564,530,652,074,802,146,263,147,305,279,841,724,005,456,791,531,
719,756,284,860,935,869,351,982,419,541,918,163,999,535,912,547,116,837,891,
384,079,556,990,089,371,673,466,395,023,411,756,443,137,547,510,787,060,860,
012,695,388,770,393,575,086,253,307,268,912,500,762,680,613,666,144,145,333,
393,192,267,809,118,249,655,898,668,624,408,349,141,811,280,369,741,783,411,
086,886,799,970,855,463,528,527,480,658,216,106,138,725,655,692,471,658,305,
293,134,802,196,232,198,564,250,752,282,251,092,145,358,766,608,372,116,335,
357,820,801,263,547,424,172,153,370,319,107,064,983,991,527,908,532,849,195,
815,284,754,340,152,735,544,535,471,201,051,201,559,181,480,739,488,804,373,
527,588,534,412,194,017,837,118,989,201,391,825,597,695,465,824,824,047,749,
348,101,784,844,160,558,629,017,675,971,127,734,512,244,875,837,466,793,111,
949,803,322,488,778,627,724,835,859,253,425,883,644,469,848,122,372,535,612,
513,023,131,402,216,701,256,458,220,903,899,486,293,934,880,445,073,984,860,
708,151,620,168,471,721,751,779,746,039,982,202,620,993,048,050,837,821,102,
685,367,830,550,177,083,742,978,233,656,227,561,206,938,290,695,474,791,643,
131,774,938,381,410,687,133,352,989,165,547,749,623,889,209,715,826,247,811,
321,892,718,942,130,502,748,521,672,883,182,686,135,326,673,001,315,563,003,
350,533,431,445,335,255,937,719,376,584,843,739,044,761,945,969,956,978,350,
888,124,889,083,231,631,912,074,193,253,199,485,531,227,290,475,395,385,788,
391,198,995,774,855,073,121,950,757,650,080,924,340,013,386,955,325,692,843,
713,697,074,480,067,778,225,772,122,921,870,229,218,264,913,228,294,327,807,
931,310,153,780,267,296,818,753,479,792,668,059,798,425,465,234,394,495,623,
128,705,695,871,348,024,823,182,461,559,923,409,346,675,049,738,370,360,732,
228,723,566,989,757,302,379,794,783,942,218,141,565,681,436,751,714,961,288,
383,563,878,318,783,084,992,487,463,596,124,249,711,846,186,991,352,300,626,
169,340,161,561,498,725,404,990,766,318,336,313,723,996,565,050,279,591,361,
717,857,289,099,273,707,852,467,754,897,750,582,965,082,758,087,265,943,208,
024,767,158,571,472,673,444,417,009,392,612,025,646,517,975,919,304,646,997,
780,267,738,256,825,294,263,512,651,161,255,397,108,431,679,022,949,994,541,
728,954,232,033,412,282,724,287,412,064,100,869,765,140,612,187,304,460,815,
729,037,432,001,508,506,297,543,105,022,696,924,868,677,231,977,632,250,729,
883,310,148,269,675,411,226,841,514,248,411,954,099,554,214,928,352,432,793,
119,356,400,868,506,808,383,054,620,030,449,836,348,649,228,926,611,799,788,
109,770,946,712,512,535,539,110,777,946,517,976,416,492,652,809,800,569,122,
136,627,102,087,830,829,443,508,067,664,086,320,984,444,039,295,877,595,825,
016,362,424,974,122,419,840,175,673,895,200,967,184,894,325,225,569,228,210,
440,077,090,487,485,241,375,157,327,161,133,636,004,635,135,374,390,167,180,
558,418,308,817,530,219,054,390,028,260,301,150,402,221,553,738,693,474,231,
528,322,601,494,082,805,909,583,837,324,870,439,952,277,105,779,242,634,988,
364,916,312,385,054,824,219,353,367,970,511,367,315,659,850,412,648,811,119,
365,494,621,535,704,069,088,355,648,137,687,735,508,843,990,886,460,455,840,
745,615,256,719,235,265,672,702,976,602,697,751,735,062,443,355,317,563,976,
151,663,645,225,649,472,827,033,340,965,734,460,339,401,362,974,835,714,165,
144,702,215,058,404,713,482,220,955,639,479,359,050,492,727,889,641,324,646,
762,640,309,503,312,112,842,469,947,488,152,718,996,421,920,012,810,701,819,
589,669,811,915,886,768,074,298,700,125,465,161,307,943,874,155,662,024,918,
595,197,171,643,393,883,498,751,159,801,613,677,464,620,937,958,734,255,419,
279,560,535,196,084,704,660,109,476,749,702,688,900,916,416,610,636,314,958,
299,209,935,196,314,424,801,378,615,033,114,992,279,888,548,535,122,233,348,
402,660,928,414,587,271,117,818,070,309,318,706,983,935,255,325,628,757,545,
307,753,189,909,692,977,273,974,776,670,866,441,211,265,778,245,500,230,248,
110,352,271,387,335,066,711,754,704,677,263,394,832,653,736,819,726,163,408,
801,693,359,456,862,790,327,057,229,767,270,717,836,680,492,077,961,414,558,
973,727,648,547,858,407,652,938,363,209,677,074,382,535,283,262,168,886,495,
863,578,706,973,331,302,375,745,824,321,876,680,243,694,884,487,214,028,587,
865,096,193,854,844,774,803,783,461,435,790,817,887,592,793,616,494,417,160,
878,382,747,586,022,646,310,165,568,111,328,351,917,520,838,445,442,938,855,
421,044,821,103,055,593,407,435,426,224,573,861,773,664,806,380,972,182,067,
646,646,364,316,022,026,829,948,862,105,414,582,838,691,832,845,751,180,549,
405,067,836,326,243,364,447,013,917,078,566,058,070,555,593,649,229,780,799,
444,900,457,330,881,360,325,005,959,196,909,841,586,008,869,683,857,040,831,
223,851,187,043,257,570,075,628,524,343,861,728,946,019,639,425,647,538,649,
756,298,390,230,168,379,752,097,344,803,012,903,019,375,866,392,441,297,051,
067,755,371,334,278,696,305,991,678,720,079,229,629,822,452,704,634,946,473,
651,100,820,977,118,952,841,635,887,596,783,558,254,191,227,453,811,803,312,
668,456,994,703,725,733,704,452,773,668,466,612,072,347,424,648,311,985,285,
650,955,581,495,879,010,064,609,890,217,855,289,123,004,823,077,083,209,687,
948,598,026,913,537,435,249,188,049,479,359,373,113,860,473,749,396,916,271,
451,816,361,959,223,797,938,606,358,203,594,181,096,027,851,878,340,576,857,
072,335,616,606,657,400,123,136,998,306,551,732,566,307,457,249,478,202,486,
886,783,860,236,047,414,365,260,245,481,962,101,340,861,281,906,352,584,392,
400,018,941,624,743,845,987,289,354,350,534,358,713,104,126,452,515,000,568,
481,104,186,231,447,456,919,965,465,097,178,739,464,599,348,762,406,529,346,
586,815,239,437,901,535,088,973,713,163,852,356,310,353,679,782,364,182,567,
281,847,373,360,625,894,142,838,003,291,159,619,199,269,834,047,023,567,070,
495,474,973,090,194,353,554,909,426,104,691,279,695,204,022,925,881,618,661,
355,505,223,835,225,775,457,769,962,863,778,453,878,324,977,472,079,336,885,
795,913,686,144,974,302,494,930,892,310,042,109,949,098,417,873,348,437,869,
788,575,837,633,767,218,966,949,223,585,707,778,898,054,177,455,089,073,750,
623,466,008,241,709,027,330,991,202,167,684,719,055,965,638,955,160,763,162,
261,815,204,611,756,610,887,580,315,845,190,570,547,062,431,806,059,786,031,
826,679,007,285,222,275,606,533,362,961,839,711,790,867,636,052,596,397,050,
283,760,813,621,201,313,237,107,594,126,722,699,970,207,065,743,821,869,412,
983,476,192,092,328,806,293,350,014,818,346,432,400,557,987,671,885,710,211,
230,193,054,637,847,295,193,807,229,966,590,438,330,603,490,331,194,735,813,
101,405,596,132,230,849,079,104,656,078,847,552,993,184,854,062,787,653,651,
133,489,104,738,308,169,551,751,789,584,649,355,919,364,335,052,052,168,084,
279,424,517,215,735,304,462,605,886,988,132,659,687,146,068,485,447,624,408,
228,959,536,488,494,653,964,872,260,559,258,036,298,292,637,075,457,994,094,
559,702,083,559,220,884,341,194,979,946,702,064,233,403,262,533,121,258,655,
572,391,417,073,441,569,426,636,799,025,478,846,322,476,939,171,480,874,280,
359,064,765,727,086,061,467,029,054,844,094,140,759,042,760,308,457,692,874,
122,494,692,650,349,362,184,173,766,960,787,676,910,315,307,080,160,431,056,
668,648,790,475,911,726,666,011,263,012,934,520,084,900,343,039,927,648,949,
447,730,764,984,696,392,117,456,877,168,350,531,689,585,336,980,211,836,166,
373,142,118,983,786,918,081,176,114,934,396,796,408,629,578,426,560,791,147,
796,080,018,024,269,593,511,678,862,142,855,869,090,389,291,503,790,225,123,
103,707,214,186,480,299,413,044,308,014,857,595,779,857,007,479,064,539,414,
141,305,109,636,353,810,392,638,851,652,185,244,851,264,183,295,843,399,635,
165,257,801,910,231,539,800,822,074,963,309,234,039,722,625,675,360,017,623,
101,491,068,164,423,873,591,057,951,312,880,099,055,358,988,154,618,287,402,
354,662,016,349,621,041,775,672,476,711,954,692,608,803,411,549,570,157,200,
889,230,676,758,345,006,629,760,823,331,396,691,833,055,462,107,834,382,541,
417,621,203,342,237,956,001,616,590,323,685,439,635,276,014,611,641,231,556,
595,007,077,512,917,588,299,784,744,990,589,235,154,848,258,005,732,344,708,
649,321,993,727,412,934,564,014,259,588,880,998,702,957,057,252,043,131,420,
547,973,887,591,672,374,935,936,093,633,209,171,964,123,940,356,488,455,835,
009,983,191,396,650,262,746,160,364,607,928,442,419,577,896,944,809,558,959,
483,579,564,045,715,836,651,194,565,231,121,992,362,289,811,658,538,904,309,
955,862,276,538,520,223,221,580,385,437,246,298,390,030,013,470,318,276,361,
026,571,682,169,057,712,399,185,214,753,386,790,461,539,808,460,167,886,595,
494,594,004,868,183,545,697,332,991,032,788,368,273,102,862,582,037,677,654,
958,374,560,215,180,218,811,195,310,907,122,863,096,154,755,412,225,014,589,
183,793,350,061,073,171,927,622,625,142,639,253,223,382,865,874,798,511,988,
999,806,374,780,043,493,425,866,671,638,277,466,511,971,598,622,047,584,672,
536,590,508,001,415,057,749,446,363,515,708,392,606,620,801,826,064,428,220,
604,883,724,583,724,123,902,064,820,676,192,782,870,383,760,225,669,565,375,
382,119,510,693,303,005,551,870,428,712,962,855,758,823,397,466,880,726,110,
664,195,068,181,726,057,546,633,052,675,089,802,111,502,707,713,806,963,014,
235,768,562,499,287,371,040,818,616,197,011,831,534,613,353,124,436,593,710,
555,738,525,123,427,195,175,028,136,024,955,237,721,497,823,027,239,358,542,
641,092,704,335,271,835,477,339,116,865,567,566,906,912,060,609,592,478,248,
623,695,220,749,826,972,136,201,138,210,120,309,139,655,791,388,802,942,379,
532,769,020,471,174,296,996,345,746,085,457,270,662,559,945,361,761,242,033,
928,184,869,449,890,506,000,081,001,313,664,896,062,200,879,683,127,434,821,
998,173,358,378,970,664,954,274,608,026,723,968,438,411,043,128,524,905,754,
263,474,823,886,182,773,047,791,914,816,613,960,444,541,632,108,500,524,235,
559,457,698,615,060,858,793,955,908,248,275,079,858,388,916,174,068,684,681,
837,665,219,788,073,467,099,992,218,547,826,331,159,218,269,065,288,209,415,
292,880,949,331,077,133,349,393,953,508,135,240,622,627,016,649,474,572,398,
660,329,751,814,283,838,424,945,729,181,739,171,107,765,377,779,745,652,978,
668,493,316,163,246,691,600,546,534,128,323,681,996,526,995,865,058,278,523,
437,942,616,027,642,307,512,392,253,704,694,432,995,599,010,792,788,627,588,
871,970,976,639,669,036,580,932,129,727,334,077,964,407,169,449,985,529,350,
784,315,471,398,751,447,013,239,237,310,792,635,228,090,128,706,103,836,759,
883,559,259,824,811,459,668,215,754,315,552,638,805,463,280,214,616,142,771,
389,956,916,144,776,013,392,677,278,736,302,082,103,176,019,592,733,740,161,
594,288,543,653,490,998,245,861,547,103,070,138,968,237,358,935,883,089,061,
634,781,405,644,258,081,249,254,468,383,150,018,888,821,824,323,293,114,928,
978,269,898,383,706,240,659,896,477,786,615,249,956,079,404,739,426,356,364,
919,595,910,820,022,123,887,856,898,181,306,888,696,263,451,771,101,334,005,
474,150,393,925,910,256,565,476,031,335,721,142,718,959,331,996,061,350,158,
051,411,168,029,551,999,541,285,028,855,942,129,537,626,074,037,495,357,134,
383,290,090,621,169,431,427,998,482,383,960,380,378,920,777,489,492,982,469,
055,368,388,608,671,465,933,356,932,634,499,749,387,998,629,166,557,678,216,
467,526,639,063,384,967,105,958,140,322,451,501,804,541,298,736,281,140,249,
641,189,376,187,394,379,379,457,215,821,794,001,366,289,479,314,181,333,039,
596,273,140,717,894,949,300,164,338,923,703,751,359,536,423,349,647,495,282,
421,152,510,034,180,598,618,915,621,263,511,239,980,973,099,811,220,242,412,
802,421,940,646,085,003,481,953,099,123,662,096,608,575,983,307,608,074,220,
091,680,803,757,620,868,274,894,808,695,119,106,068,049,678,079,186,431,693,
122,857,889,367,051,341,487,244,655,890,578,343,729,267,218,370,055,469,722,
517,057,457,973,324,639,805,964,770,710,321,565,276,194,443,795,441,471,368,
183,739,536,473,058,501,469,673,047,342,131,748,617,143,829,614,548,932,529,
218,743,385,764,404,042,123,334,065,794,384,543,509,435,443,146,945,485,939,
052,467,827,889,840,237,761,718,707,399,336,788,358,238,091,124,673,458,776,
022,519,091,092,337,148,383,615,263,685,109,126,459,112,511,938,362,252,006,
807,016,198,197,421,543,896,690,221,241,921,832,210,199,542,573,486,183,206,
277,165,965,025,240,286,812,994,205,563,072,174,190,661,860,104,124,672,787,
007,262,352,843,751,139,454,510,395,950,468,080,526,393,182,339,153,233,619,
637,522,080,276,619,097,656,680,989,988,217,288,892,584,469,290,884,662,016,
024,500,274,770,051,264,682,957,407,061,112,621,650,672,029,200,188,961,947,
486,380,678,927,069,095,292,467,467,637,309,311,299,644,520,126,882,962,755,
261,989,221,012,653,890,960,346,857,226,077,113,371,734,323,571,080,451,971,
516,005,130,424,915,502,029,143,625,013,208,252,272,875,230,536,836,710,005,
186,983,340,567,134,639,567,125,213,791,223,163,800,753,533,258,495,323,682,
359,441,562,057,902,415,134,662,443,716,497,258,617,226,751,637,866,001,616,
557,199,377,262,029,485,394,182,977,381,051,730,542,601,425,095,351,134,131,
166,832,723,525,057,418,932,130,246,820,326,956,304,221,906,775,002,005,863,
032,935,385,476,825,003,591,034,596,629,817,789,582,426,205,708,553,994,627,
265,544,635,894,023,654,249,353,359,106,583,434,913,494,863,968,057,130,739,
680,731,749,360,586,217,735,291,533,748,824,510,159,415,777,598,040,600,026,
928,784,882,716,720,475,950,706,516,656,199,813,199,088,499,023,409,870,902,
165,829,580,927,873,775,274,798,841,534,390,095,264,622,744,844,849,512,935,
437,715,314,026,279,206,893,453,677,273,991,122,083,217,853,537,093,222,547,
757,002,610,284,248,798,736,062,158,064,820,982,255,664,263,284,653,175,210,
497,336,562,446,203,503,759,419,561,241,220,379,179,940,628,432,902,892,282,
294,956,116,440,867,231,853,220,344,856,204,463,111,640,302,122,824,417,797,
138,553,015,315,023,101,946,624,775,306,524,369,083,113,776,778,439,646,087,
245,304,275,753,261,777,808,592,249,274,106,010,159,133,080,387,959,342,792,
268,006,011,320,495,894,805,311,183,075,543,117,800,084,677,748,265,790,603,
378,787,667,176,297,933,265,290,678,637,117,459,755,454,686,267,361,328,654,
769,556,443,603,641,947,165,858,510,565,284,336,291,812,297,725,292,895,925,
757,677,363,236,995,042,387,984,468,803,820,125,958,167,367,976,404,867,937,
657,240,895,994,674,097,179,629,754,897,912,255,549,989,101,506,828,827,649,
542,906,706,612,399,077,318,800,060,120,355,740,704,133,743,983,747,065,919,
316,583,381,481,083,214,778,626,675,495,020,418,117,290,222,936,960,977,501,
048,836,459,858,432,011,931,261,200,379,596,054,881,745,610,752,146,209,711,
484,882,009,514,746,236,965,597,495,034,806,619,560,041,040,813,062,061,533,
047,323,645,196,896,850,217,726,812,428,729,330,576,551,167,653,349,706,271,
805,101,215,579,144,384,775,718,302,757,105,174,981,871,866,881,564,842,482,
768,875,918,083,387,244,287,750,115,493,868,588,108,372,382,957,751,033,279,
694,579,429,635,459,556,388,536,885,350,232,575,953,869,432,780,283,232,672,
533,827,674,300,153,053,021,465,175,213,609,195,841,808,644,155,915,079,773,
288,120,080,031,036,340,262,178,970,624,444,905,292,159,290,414,640,178,506,
254,337,252,897,917,625,802,284,661,293,545,411,769,026,164,281,610,699,512,
224,776,610,596,505,902,965,317,316,527,779,104,461,626,507,563,750,688,208,
303,880,474,797,646,557,623,929,232,634,302,705,215,471,698,113,766,654,620,
983,285,100,708,691,938,308,672,469,723,149,341,538,448,228,204,464,409,165,
443,894,553,933,881,581,835,652,035,575,654,290,900,999,326,234,230,555,113,
620,564,295,246,382,818,584,683,161,188,728,205,737,276,725,125,598,324,899,
671,323,116,545,616,901,514,723,745,108,342,616,694,496,745,875,609,328,398,
051,173,057,031,513,885,245,818,454,151,827,242,384,506,965,917,579,138,044,
579,066,527,201,310,171,916,402,606,206,082,448,001,869,882,991,188,269,173,
633,132,226,733,937,688,413,840,861,488,581,214,753,953,654,966,487,657,774,
620,367,258,578,767,802,037,755,998,782,544,547,666,227,416,165,570,083,518,
706,605,797,591,106,390,001,042,544,234,286,675,097,699,459,871,303,958,047,
888,747,442,638,650,417,633,341,770,436,870,684,904,632,919,562,948,384,123,
170,852,046,757,577,102,657,072,192,395,473,520,279,635,838,283,810,540,342,
226,803,469,222,119,186,675,219,184,609,235,858,176,427,965,886,600,049,303,
094,040,993,213,349,404,934,892,390,916,995,964,577,162,890,530,174,442,563,
525,694,555,191,491,410,983,749,587,679,785,523,893,337,235,722,404,286,709,
324,872,901,083,776,731,074,736,311,311,891,434,645,908,999,397,560,972,737,
751,132,250,610,562,208,721,327,025,571,535,454,154,144,094,216,444,030,534,
594,421,236,199,237,294,628,213,434,502,165,218,735,954,420,314,825,255,639,
803,607,463,522,980,754,830,601,774,089,428,633,677,322,024,450,039,091,856,
370,391,410,906,547,062,593,894,632,798,388,311,442,170,454,783,731,010,226,
480,666,319,544,313,134,534,589,335,021,430,903,312,290,406,135,068,134,971,
155,114,073,030,613,647,984,813,945,937,182,859,940,476,966,592,448,515,725,
615,393,551,268,296,050,585,057,491,609,120,778,392,986,227,759,918,085,364,
036,752,302,090,576,535,896,354,676,341,134,907,834,549,099,157,038,828,170,
926,011,622,159,542,061,203,445,028,705,449,958,624,664,555,890,935,627,922,
444,065,520,688,464,011,668,261,567,693,349,060,147,416,628,018,834,391,788,
680,706,478,053,964,006,941,441,213,906,129,767,016,823,768,788,699,213,874,
785,831,053,653,387,273,887,614,024,987,686,312,213,103,578,346,743,536,326,
219,446,568,054,373,486,079,333,750,227,059,273,915,881,729,816,381,647,334,
350,887,034,130,280,742,755,160,974,576,629,698,776,534,318,400,913,736,731,
511,835,679,179,056,374,241,228,485,082,599,958,142,540,186,797,942,562,564,
289,442,200,337,437,788,820,841,218,959,430,356,154,193,374,818,166,797,061,
765,007,885,555,700,365,380,202,548,092,006,294,207,329,542,363,650,982,501,
850,069,638,487,920,932,006,420,226,411,358,167,715,264,329,445,781,335,167,
641,269,271,164,089,127,527,848,247,273,606,401,170,217,374,652,794,162,592,
837,250,657,166,286,440,042,125,089,660,379,540,694,778,945,867,478,023,862,
769,621,622,049,262,448,357,859,428,472,503,960,424,470,943,456,785,965,730,
903,082,443,769,630,021,764,095,364,761,788,622,669,663,967,874,010,428,890,
108,850,291,151,685,832,799,963,012,037,493,419,265,453,784,921,275,030,069,
827,499,448,498,880,411,276,826,452,826,615,689,858,648,196,883,220,996,476,
570,890,655,593,764,160,561,297,306,429,517,653,309,031,242,480,875,090,657,
029,865,414,931,147,381,587,796,954,960,481,706,647,580,206,460,406,044,934,
480,970,972,566,960,671,828,533,804,923,576,017,946,288,926,354,816,888,500,
345,060,455,107,521,098,927,702,198,923,310,147,005,328,705,984,003,582,620,
821,065,172,180,954,908,306,410,647,393,474,168,084,805,051,984,573,595,352,
074,225,468,047,449,190,715,396,972,549,331,962,505,012,225,409,256,799,656,
414,944,686,738,611,228,316,708,187,553,676,783,665,894,480,708,300,155,889,
541,221,940,609,967,804,996,945,010,906,244,849,758,506,215,487,081,395,380,
803,823,315,826,708,388,920,119,314,571,822,028,976,753,621,217,466,442,040,
281,584,740,358,688,276,979,921,626,556,007,932,417,739,929,912,245,918,440,
011,861,735,428,890,995,158,642,388,749,331,095,038,337,115,091,155,882,616,
209,378,597,938,942,218,314,269,717,769,222,326,569,714,923,012,813,080,926,
636,909,795,762,123,331,057,937,915,420,651,084,411,235,363,147,597,875,362,
235,222,445,062,029,653,486,981,958,488,434,842,658,350,585,293,843,309,910,
308,082,761,020,508,009,434,445,242,469,762,033,789,373,836,614,763,001,455,
355,196,372,765,134,832,456,510,264,394,056,894,790,281,566,263,937,815,279,
897,248,070,114,580,318,414,901,782,569,292,284,538,170,086,559,096,375,982,
330,916,005,286,130,843,864,957,722,817,805,901,681,845,273,901,953,971,636,
205,231,683,907,675,415,229,866,128,405,741,490,314,684,613,375,059,269,008,
310,012,152,544,453,171,572,842,402,820,984,016,820,691,890,087,540,949,283,
429,303,717,426,812,509,576,748,377,534,376,817,816,362,989,201,851,729,228,
521,665,675,796,074,910,340,249,816,458,649,386,312,438,307,615,771,737,352,
657,818,193,301,449,259,275,349,410,483,724,519,507,744,393,958,725,286,316,
497,435,367,735,705,189,054,973,824,079,753,148,460,613,263,736,778,451,854,
399,716,368,055,191,498,431,736,847,479,310,436,256,595,582,172,312,499,314,
223,894,247,810,669,050,025,219,932,179,207,728,613,575,653,672,056,933,687,
848,043,571,828,177,576,077,939,590,964,878,054,100,286,278,705,590,482,090,
583,935,286,761,305,208,862,080,641,062,691,887,165,245,314,777,392,377,134,
301,004,988,948,490,376,381,364,997,698,549,858,164,127,246,381,211,501,518,
072,687,653,892,819,913,386,247,273,064,377,140,459,338,929,648,456,521,543,
906,736,992,290,871,825,339,719,101,911,853,786,397,610,225,076,928,093,838,
946,146,345,721,315,946,389,378,726,956,293,525,760,573,997,120,323,613,925,
789,908,690,021,982,590,452,500,030,729,520,985,842,148,048,502,441,863,715,
366,027,642,311,642,596,452,369,145,931,726,232,812,865,448,712,343,168,598,
144,542,412,844,313,980,979,015,935,122,518,045,581,901,365,199,501,161,040,
245,817,761,710,094,625,169,983,415,412,929,068,755,817,834,942,974,168,805,
145,718,526,492,207,971,889,581,224,436,026,882,230,875,995,300,945,405,047,
394,881,529,785,890,261,292,002,845,489,243,149,976,289,618,393,557,585,181,
609,711,961,341,791,461,819,164,940,795,842,814,989,037,325,249,820,117,866,
106,981,091,035,557,380,286,450,890,602,127,961,978,422,211,434,012,057,678,
165,969,722,470,693,472,367,923,677,051,875,709,352,462,349,951,776,683,203,
392,340,467,861,235,606,313,089,369,394,211,762,272,336,557,791,815,760,529,
316,330,788,601,214,408,084,138,365,398,492,863,375,490,927,701,827,352,800,
214,082,431,699,255,511,093,424,012,569,671,295,099,696,990,227,879,817,104,
210,700,291,077,331,678,120,120,855,217,745,364,534,274,448,652,362,492,057,
822,108,114,930,374,291,172,042,343,829,654,440,564,278,070,863,802,928,991,
040,216,288,967,564,036,523,160,424,174,723,745,959,238,361,754,083,462,768,
673,512,671,687,695,554,454,281,769,673,966,586,319,532,879,062,453,912,729,
363,077,883,203,115,767,956,664,596,493,939,432,478,626,625,528,540,053,840,
743,570,372,627,338,209,205,382,834,702,153,193,010,837,167,300,408,205,151,
292,819,527,323,158,930,234,139,577,554,299,642,903,702,219,163,404,264,262,
577,328,006,902,298,517,664,912,176,722,070,197,661,376,352,367,720,699,061,
326,269,416,123,079,159,309,721,621,419,103,762,986,117,640,314,229,103,245,
172,634,020,170,011,851,921,163,602,601,980,364,800,259,259,501,031,159,822,
107,440,331,702,749,223,398,833,749,189,047,606,695,401,188,943,214,416,169,
649,495,284,636,892,850,797,181,217,579,222,038,902,919,486,036,833,306,110,
040,330,488,204,531,351,046,750,484,387,196,982,701,031,864,145,039,599,703,
702,103,489,870,701,315,408,452,165,868,712,522,792,769,035,809,273,225,740,
600,638,068,236,639,074,478,813,727,555,452,488,821,372,437,955,219,600,422,
040,310,955,415,970,008,311,897,082,333,411,057,950,525,845,836,367,853,732,
055,230,838,439,711,945,116,586,437,458,948,646,780,970,844,883,429,813,989,
110,607,824,934,071,712,811,437,617,296,934,383,104,375,083,959,340,069,339,
871,272,409,493,944,161,983,842,494,674,848,151,174,540,571,255,827,520,957,
584,263,266,371,465,550,531,956,741,721,112,448,375,738,404,555,550,824,454,
464,855,393,067,651,947,972,803,030,488,109,672,847,584,838,171,997,881,399,
841,831,389,273,773,602,881,859,695,267,408,183,563,051,461,766,055,342,506,
682,163,828,397,622,969,517,741,280,824,827,199,402,687,583,307,430,527,695,
067,766,776,722,053,571,066,904,448,604,346,147,930,066,546,496,233,666,908,
071,871,526,677,223,961,132,960,180,993,610,746,149,761,625,602,865,670,114,
681,362,269,725,449,941,466,524,916,962,758,908,583,957,636,407,459,557,006,
662,574,893,034,713,206,453,132,333,846,795,214,050,328,814,637,280,478,248,
354,028,428,794,220,823,910,748,361,037,525,437,572,091,304,997,608,519,717,
740,211,116,137,780,553,240,621,030,509,371,789,104,599,175,839,555,947,420,
433,937,946,062,118,091,462,579,439,184,841,212,395,326,444,686,832,775,291,
199,919,428,028,525,723,572,743,585,826,854,695,350,075,664,367,082,108,866,
802,703,912,984,869,923,091,860,113,141,622,936,989,833,974,798,667,520,747,
200,846,284,466,344,624,369,359,586,400,873,338,875,758,658,754,988,500,693,
548,333,330,313,638,002,767,388,925,035,924,533,357,986,761,481,357,222,404,
599,014,623,992,689,471,281,133,056,912,402,340,252,750,969,528,939,716,972,
670,261,500,892,257,509,114,125,694,279,639,661,629,444,585,126,518,512,351,
343,856,039,760,621,730,332,040,409,508,438,771,806,065,544,654,114,402,570,
007,374,786,535,058,676,554,807,121,772,329,631,817,122,982,515,540,305,651,
626,444,313,294,579,180,378,778,748,285,587,302,477,901,169,218,541,981,100,
060,022,676,317,543,069,158,718,376,895,533,230,632,722,068,578,971,447,910,
172,018,404,460,420,258,574,389,512,158,246,873,072,250,456,682,969,791,982,
407,123,325,475,629,987,893,985,476,918,847,023,445,186,093,994,126,381,814,
637,875,628,376,323,735,615,622,520,390,270,657,836,034,121,112,201,454,040,
928,187,984,239,704,771,631,957,861,704,689,796,097,237,927,518,848,035,495,
927,005,105,186,961,599,981,713,907,818,710,449,036,659,066,198,978,549,899,
579,868,086,313,423,011,978,941,890,910,162,758,973,712,518,780,185,093,386,
521,335,592,713,148,604,961,204,564,097,121,289,121,107,027,713,628,315,672,
863,764,516,326,989,919,982,728,635,197,921,738,035,801,730,803,352,190,945,
313,660,584,687,885,413,110,013,359,899,299,392,503,741,774,126,390,100,554,
105,890,174,705,473,954,135,336,977,907,416,557,476,149,206,430,302,236,929,
311,560,060,027,236,926,173,466,417,934,680,741,339,744,531,428,629,968,302,
451,401,054,813,703,555,361,801,251,472,931,188,382,542,769,053,931,859,806,
434,112,488,799,731,135,985,807,623,151,758,251,446,941,759,593,449,470,443,
379,558,203,989,680,734,027,161,965,563,647,992,271,049,454,726,473,518,999,
556,766,335,949,429,716,407,058,325,852,080,058,291,411,024,209,547,026,874,
828,608,582,318,146,637,042,887,550,358,259,958,672,174,490,994,288,046,249,
925,090,324,574,376,495,149,985,856,550,196,678,841,050,160,302,399,768,777,
000,514,493,188,793,094,230,416,271,444,213,559,424,189,873,289,762,547,005,
008,344,338,535,473,447,553,299,452,747,844,773,807,634,694,862,490,529,936,
602,939,138,690,523,416,858,149,431,579,971,597,201,822,472,521,021,291,341,
334,684,819,857,337,312,201,923,199,229,744,486,363,102,620,526,648,353,643,
014,301,813,882,683,189,905,484,942,011,546,165,687,166,199,481,280,774,035,
713,065,419,282,182,832,760,735,007,826,362,950,126,218,398,464,560,323,804,
929,239,334,673,368,415,470,825,125,112,768,285,366,088,716,560,258,261,981,
125,297,721,016,295,919,378,220,174,038,296,668,435,416,790,934,406,770,699,
815,766,491,931,120,989,843,469,502,009,553,305,636,019,002,610,756,834,234,
237,813,502,786,264,989,126,402,381,277,388,873,238,966,140,038,681,547,679,
860,671,360,393,735,958,511,963,726,352,240,744,843,132,311,651,815,895,940,
252,939,756,256,544,996,184,675,110,922,064,980,043,079,859,755,124,626,822,
344,275,060,657,818,292,195,493,524,639,954,069,340,528,000,091,525,376,249,
795,778,198,504,584,522,867,839,365,123,353,019,923,822,133,828,691,275,882,
171,318,420,445,722,727,389,225,608,287,870,497,952,150,058,222,442,546,471,
293,141,532,352,711,514,302,511,170,274,795,950,648,830,780,764,974,992,248,
524,044,937,548,674,316,131,146,335,520,404,702,741,830,653,689,604,454,075,
760,224,592,276,955,986,373,166,877,220,392,780,525,505,421,991,649,574,081,
922,465,482,321,870,068,037,622,831,776,355,230,176,339,990,926,302,667,767,
027,999,721,523,307,322,968,101,199,440,593,211,512,546,283,766,300,588,557,
466,398,768,726,043,875,062,348,561,540,113,172,342,195,060,465,886,685,653,
744,640,617,010,762,234,462,809,873,951,499,419,428,672,139,908,000,418,191,
377,290,162,450,460,088,682,172,821,076,106,599,522,446,078,543,921,583,471,
598,323,146,046,728,166,717,122,020,813,163,282,183,969,838,400,038,869,848,
150,717,869,117,110,221,660,444,556,014,314,139,316,764,797,306,667,535,456,
980,840,504,957,381,323,244,927,971,622,864,482,592,167,092,367,332,419,815,
243,017,148,548,527,178,149,819,404,096,318,083,484,829,525,573,890,461,479,
591,599,380,075,642,396,240,513,451,823,170,662,546,222,035,131,146,666,341,
149,144,834,316,612,596,658,256,138,538,993,793,874,608,314,666,457,449,030,
723,919,345,623,876,395,710,000,142,858,392,719,921,987,470,854,563,883,176,
718,711,805,899,071,396,842,169,316,844,242,737,079,993,652,907,376,618,084,
971,449,564,391,833,147,802,737,051,604,207,661,454,712,585,633,254,139,083,
491,551,651,560,279,770,277,754,308,848,798,432,296,383,867,479,331,575,769,
663,707,029,285,555,958,283,737,533,575,392,377,511,211,439,406,226,132,611,
506,727,244,878,077,245,166,815,312,245,658,412,303,059,519,152,758,099,713,
084,409,913,843,084,657,229,987,369,098,061,434,126,635,443,117,802,447,911,
815,833,068,193,284,797,972,408,707,734,626,078,083,822,237,435,437,748,757,
027,132,557,460,008,692,748,300,920,960,645,500,828,979,891,659,102,604,994,
253,065,338,460,997,851,084,862,818,262,165,957,062,371,889,628,986,102,341,
166,042,557,427,094,740,446,510,331,174,647,088,649,453,027,651,038,064,143,
374,380,016,868,754,469,836,522,288,501,923,276,739,567,434,463,327,190,569,
114,972,410,906,200,006,567,213,114,867,972,611,413,747,491,842,312,981,888,
873,457,553,330,731,846,001,654,611,348,665,558,154,320,792,138,317,821,857,
956,104,972,861,494,500,377,173,640,795,374,079,071,495,035,948,745,853,943,
724,584,889,996,992,101,207,974,010,655,884,908,411,325,545,513,187,370,193,
468,706,603,909,795,742,804,809,808,995,448,157,832,154,650,966,049,365,101,
701,757,696,462,826,053,463,315,955,624,190,732,131,971,431,025,036,362,076,
420,121,249,818,920,711,999,497,484,828,690,362,427,703,810,461,551,901,911,
361,323,177,501,647,964,403,747,075,747,525,507,872,152,529,607,340,817,332,
514,119,313,387,642,182,966,177,654,502,712,717,837,774,087,093,047,463,719,
616,489,465,815,135,697,688,767,594,241,420,252,423,889,987,151,357,298,389,
615,591,408,167,397,580,512,273,363,824,993,470,825,048,526,474,085,743,976,
979,386,427,067,732,936,979,212,571,510,334,066,292,285,493,593,044,165,671,
812,627,798,958,808,715,905,947,014,148,346,822,413,381,682,810,776,008,566,
567,559,241,266,334,525,876,884,754,753,998,468,851,077,315,840,038,108,285,
945,803,897,807,890,981,202,993,137,526,019,872,612,442,279,385,074,963,570,
822,505,305,239,597,539,599,087,781,435,644,185,831,944,352,651,632,082,696,
119,490,562,674,254,407,568,888,549,393,752,836,295,455,756,999,028,813,557,
816,346,884,250,890,681,341,758,138,145,776,621,373,627,892,985,905,328,385,
046,548,729,512,407,216,014,027,144,700,135,968,056,024,769,208,095,499,698,
111,769,055,301,956,504,294,579,816,800,653,489,548,725,766,330,465,379,161,
504,538,530,612,811,293,142,473,385,424,004,554,286,127,482,150,892,545,245,
801,802,011,624,618,865,757,449,519,282,119,939,281,768,860,382,706,333,030,
834,332,101,914,141,255,730,501,049,852,894,123,348,471,258,685,839,460,593,
198,581,507,356,234,385,820,224,451,823,099,532,361,002,113,037,881,246,215,
188,145,555,502,620,506,794,188,764,639,678,426,747,339,965,343,718,345,462,
785,103,372,447,131,470,311,029,650,321,745,175,909,060,821,500,423,804,521,
899,475,694,325,195,980,460,825,506,241,941,001,494,610,635,409,222,801,303,
142,729,746,481,869,213,492,865,875,271,283,101,643,250,856,137,545,626,479,
968,706,327,093,874,260,633,475,673,734,429,830,828,141,789,334,133,381,018,
383,359,348,709,784,968,236,403,797,728,161,778,105,699,221,744,780,853,320,
672,696,057,863,767,484,266,571,363,738,996,876,568,063,597,278,694,326,551,
042,164,185,289,639,428,774,504,918,800,929,081,969,559,092,947,785,524,320,
841,485,644,666,911,893,910,803,659,589,031,163,617,351,168,503,681,282,284,
785,811,790,051,698,940,782,347,978,435,095,837,743,612,626,010,473,994,509,
564,285,270,094,523,630,606,747,218,187,975,974,780,424,533,088,082,590,358,
067,817,046,528,235,499,831,661,696,104,734,788,931,027,831,732,784,539,506,
997,064,801,392,483,996,083,524,646,479,508,170,646,849,982,160,230,097,331,
073,333,090,079,095,053,822,588,148,477,424,095,297,134,393,931,524,147,880,
807,350,839,250,162,710,165,635,613,294,516,105,940,457,682,234,958,729,883,
846,260,055,738,140,103,148,042,445,087,232,139,344,499,661,813,575,901,850,
992,249,372,161,037,498,501,005,516,721,020,827,823,767,856,148,011,604,704,
951,081,318,312,230,152,550,272,249,384,455,500,978,436,427,398,063,211,877,
262,191,108,357,017,120,845,978,251,839,764,582,363,419,042,567,319,899,196,
752,803,904,891,262,359,171,495,405,581,090,218,742,443,189,974,477,441,658,
780,837,758,134,928,750,074,486,781,354,932,326,772,805,540,866,583,098,156,
969,312,156,806,270,151,196,630,166,527,255,299,321,725,241,022,475,922,965,
311,452,165,325,813,382,678,612,378,175,232,787,897,969,239,794,612,198,902,
686,833,382,984,525,443,530,295,991,301,231,885,212,949,253,564,006,800,806,
736,802,850,400,170,440,689,940,592,375,056,916,181,328,027,483,652,692,747,
032,214,366,946,293,071,818,249,294,646,124,626,579,454,514,689,805,304,654,
208,103,211,419,803,715,639,530,882,238,651,826,991,834,590,535,458,689,636,
551,756,026,344,479,160,880,610,893,139,805,084,983,163,258,528,067,880,886,
526,170,217,700,253,797,160,241,225,783,313,720,762,705,053,108,207,947,539,
854,368,509,509,194,418,425,283,058,407,846,802,249,603,803,183,284,440,724,
540,631,168,547,775,318,549,791,471,794,192,896,241,514,397,698,191,247,752,
089,297,442,832,235,551,635,915,900,493,869,061,937,039,278,598,603,621,326,
564,271,118,515,054,072,547,487,619,789,257,574,077,678,028,930,979,123,395,
611,725,291,643,729,346,703,586,833,683,425,219,583,341,233,961,653,161,525,
586,257,754,863,985,942,537,546,713,961,212,332,147,218,753,355,515,269,216,
576,842,481,322,766,831,083,564,550,655,620,356,260,328,629,904,038,862,428,
344,133,815,683,831,261,975,809,662,633,804,430,160,933,940,449,749,287,236,
468,427,927,814,752,175,119,581,551,244,124,680,604,757,393,885,218,307,780,
140,275,387,517,505,287,682,826,458,733,692,414,571,009,765,986,382,151,521,
599,100,888,634,760,772,017,617,440,435,420,507,992,412,021,149,516,517,916,
283,946,026,394,825,318,514,161,846,504,547,830,786,899,829,089,335,356,871,
189,493,338,037,709,642,684,008,031,572,549,737,660,366,731,647,067,799,257,
523,555,858,760,939,042,435,916,303,730,573,885,353,025,616,516,719,126,550,
107,318,388,079,559,859,983,954,027,680,964,901,174,630,904,983,126,502,141,
706,918,817,754,971,879,225,691,430,358,657,372,884,819,736,752,801,773,375,
031,492,345,129,718,681,858,077,791,337,191,718,487,451,573,779,481,175,298,
931,283,073,704,262,556,886,931,263,001,460,666,020,449,724,049,431,887,773,
613,613,177,350,264,437,389,001,330,426,418,460,591,432,649,858,993,856,550,
725,831,262,269,187,840,836,405,919,209,443,804,787,479,361,138,141,163,714,
345,115,413,600,871,192,985,095,823,550,974,144,706,635,541,282,130,774,415,
528,988,914,330,926,594,108,963,834,552,798,355,963,812,408,706,455,387,099,
634,057,331,707,769,186,100,896,745,914,566,691,037,473,774,041,094,607,945,
098,523,921,792,792,884,389,768,900,760,845,756,069,918,538,156,277,854,121,
918,605,725,213,374,804,020,152,792,976,613,351,756,088,094,340,483,022,989,
481,465,026,966,810,336,081,680,691,182,714,117,430,107,322,986,402,385,273,
715,031,948,145,948,492,065,304,342,500,101,590,981,692,969,733,054,659,090,
281,915,003,398,609,193,467,058,395,579,049,055,520,911,951,544,540,701,881,
945,695,699,215,884,744,031,045,106,948,302,222,612,712,159,362,663,633,502,
653,165,908,356,858,524,480,629,289,418,498,011,945,751,599,276,436,396,382,
740,767,147,811,353,054,861,699,246,943,035,006,186,777,793,683,710,445,449,
255,815,135,821,819,934,347,492,096,842,498,946,304,048,379,636,758,044,075,
440,075,958,649,127,805,131,083,630,310,714,741,137,322,914,148,047,668,541,
055,416,946,751,206,638,217,622,792,408,952,901,394,797,202,736,142,738,990,
249,414,150,735,470,593,672,736,836,077,067,824,967,797,619,339,731,921,366,
022,973,517,226,046,663,764,257,557,214,723,408,982,418,452,644,828,312,336,
824,209,766,181,183,936,409,348,493,161,788,699,338,850,708,321,358,829,260,
422,019,978,747,640,224,467,578,265,075,543,750,451,594,931,801,161,639,311,
767,387,174,579,834,769,139,824,896,206,283,675,383,570,167,183,852,624,801,
417,661,415,970,510,838,900,275,525,523,732,575,025,233,955,347,191,165,673,
368,553,120,062,002,895,441,386,720,822,127,437,240,161,020,099,041,964,444,
824,039,719,194,298,484,375,940,488,319,669,942,525,355,657,286,768,364,411,
031,865,409,288,244,114,487,639,168,885,560,254,056,037,418,175,796,136,586,
660,384,762,002,422,792,030,812,442,373,496,845,351,171,819,945,224,391,123,
489,378,058,315,509,098,945,844,379,743,347,460,170,669,561,181,896,280,347,
744,675,518,651,131,189,140,929,579,769,480,187,405,719,840,996,555,428,498,
357,100,222,521,309,780,980,697,445,994,329,866,368,270,223,622,682,615,171,
416,040,967,677,161,304,810,658,512,011,845,713,822,548,513,197,951,340,021,
426,660,661,633,829,556,517,363,246,650,047,965,437,336,666,448,339,075,315,
802,741,897,222,678,154,033,230,306,097,175,841,307,248,536,086,646,205,799,
919,483,582,885,825,409,461,635,639,909,911,253,456,731,000,969,063,835,224,
147,285,586,334,249,139,679,381,709,469,041,396,738,537,494,303,411,509,999,
009,799,913,899,426,030,883,974,654,865,263,356,028,598,601,945,071,641,841,
546,548,705,097,794,383,273,227,234,302,339,910,518,148,320,593,759,694,586,
199,796,708,346,908,045,056,836,508,888,551,514,961,253,950,190,477,759,862,
381,279,704,397,854,927,055,598,011,965,852,424,996,030,825,737,442,923,758,
627,947,997,550,462,794,966,047,343,880,590,814,522,105,710,579,485,203,422,
781,708,681,420,116,199,738,627,432,398,859,966,470,562,622,180,041,687,640,
224,644,617,606,415,377,284,766,978,461,118,759,046,275,698,749,679,020,047,
072,986,315,280,986,612,550,166,081,054,614,843,908,813,556,332,051,094,309,
914,640,379,848,659,870,152,381,368,258,446,603,592,773,592,146,826,160,017,
926,141,565,399,859,857,336,122,409,551,212,757,543,640,660,879,233,936,077,
883,920,169,799,370,514,498,405,002,819,574,047,114,865,117,567,803,896,558,
387,252,757,481,004,719,736,712,183,786,748,868,065,555,028,224,091,196,736,
232,898,194,287,685,089,860,173,520,194,084,916,412,381,403,587,522,022,690,
258,040,292,228,585,665,576,875,493,260,903,489,143,847,047,822,421,415,591,
097,179,330,943,633,946,506,202,327,236,485,777,963,039,065,508,070,426,359,
605,694,357,379,444,891,290,204,106,744,109,512,267,176,473,715,813,820,004,
868,121,181,942,923,116,517,773,681,788,695,977,131,513,926,647,909,809,491,
816,474,817,030,107,321,385,817,150,170,191,585,287,750,961,402,332,522,946,
917,753,474,634,952,684,112,475,312,804,063,078,117,853,812,778,261,071,952,
248,511,100,809,767,708,583,986,320,554,169,948,691,728,097,485,820,646,577,
242,573,940,326,230,815,522,902,653,766,713,610,712,448,123,473,243,948,274,
282,237,581,375,304,581,973,027,270,110,789,921,862,798,628,691,192,818,028,
048,634,222,141,864,196,905,132,896,837,162,159,169,729,785,256,354,130,756,
201,520,334,842,579,306,654,643,651,364,414,824,295,745,146,472,205,892,039,
328,264,391,121,018,403,897,443,470,048,515,013,202,552,448,222,834,208,526,
404,237,996,471,383,155,553,505,579,757,734,709,489,447,418,595,401,097,181,
187,280,391,429,576,582,990,063,364,311,259,709,705,140,294,288,653,309,828,
214,125,676,028,742,339,689,978,458,437,233,548,424,182,684,712,939,673,838,
801,845,969,561,745,980,073,975,114,621,244,553,994,803,073,430,975,333,232,
456,329,255,957,661,971,906,378,868,046,943,238,227,519,066,163,003,186,272,
736,826,854,552,737,916,981,733,188,725,114,892,768,745,456,462,753,706,337,
965,094,413,760,823,374,298,635,209,703,218,087,839,052,251,962,048,251,569,
344,544,400,788,033,928,200,447,346,772,973,289,648,017,594,912,749,053,419,
792,785,526,731,698,280,612,155,852,901,959,087,187,538,420,098,841,442,613,
769,483,520,883,184,977,523,169,915,503,427,996,377,934,746,056,702,431,945,
887,744,436,126,472,581,046,328,427,839,913,911,727,723,756,507,350,539,727,
021,636,122,236,019,264,970,125,385,792,902,010,503,301,235,675,393,290,443,
295,508,155,676,871,986,312,246,565,364,705,675,205,073,524,492,636,256,017,
135,242,923,883,859,021,340,029,731,052,557,942,614,686,524,837,734,972,375,
364,050,111,279,708,543,165,536,545,388,644,304,003,999,368,776,225,600,937,
606,581,611,529,650,102,997,477,314,972,919,164,964,531,783,086,378,898,173,
732,782,593,156,436,007,270,151,483,927,288,446,431,562,420,688,420,409,762,
636,268,675,613,577,689,958,205,246,621,287,793,675,406,446,445,170,708,643,
429,159,438,851,801,403,593,142,966,572,329,608,636,035,173,540,515,220,196,
055,730,581,678,658,625,916,169,639,901,113,036,561,437,874,926,419,285,158,
707,467,116,254,192,258,672,877,508,807,167,536,342,533,105,741,692,990,996,
863,387,973,283,990,445,514,445,166,314,999,254,106,961,926,080,881,147,644,
398,908,949,223,986,417,576,228,102,553,902,121,445,524,799,647,272,592,679,
398,803,667,429,315,122,997,065,786,578,327,652,530,105,300,617,238,151,211,
984,474,807,072,147,593,074,940,170,839,664,158,376,939,902,210,835,193,744,
394,188,871,405,254,107,570,758,783,207,882,995,262,178,756,674,848,938,949,
441,253,552,285,127,577,834,465,557,899,852,024,517,793,582,462,933,863,554,
363,088,273,029,112,021,777,666,634,266,141,721,141,163,648,485,293,585,841,
834,332,190,778,757,802,602,559,306,480,437,588,928,312,225,113,807,114,432,
129,693,916,084,738,083,493,306,576,510,275,042,989,330,745,238,443,303,819,
372,545,693,482,813,406,592,965,247,467,721,575,573,422,128,739,926,657,578,
736,647,593,518,601,559,054,927,398,401,200,991,412,294,550,627,822,428,767,
818,619,303,482,577,856,912,296,056,393,761,326,305,452,083,813,933,323,293,
513,717,368,642,166,000,541,344,535,043,326,879,935,804,903,758,909,140,834,
802,830,699,733,661,727,470,465,398,349,041,070,303,117,085,093,344,206,700,
287,048,154,488,148,432,126,981,730,698,914,491,057,536,163,315,480,287,268,
805,508,711,901,681,159,496,984,296,295,748,083,431,729,762,004,046,602,967,
134,318,081,046,817,902,376,813,246,679,969,222,672,803,848,012,369,090,856,
872,792,232,017,142,790,548,895,966,799,246,340,547,937,649,986,454,810,259,
779,594,578,059,445,033,531,025,991,346,394,635,462,502,505,422,938,084,246,
909,462,582,639,619,324,350,788,522,466,796,240,729,486,547,662,321,700,556,
137,914,874,301,371,441,742,490,581,985,588,571,656,787,161,236,609,830,876,
167,585,030,904,306,370,852,190,535,318,483,122,283,515,802,303,986,649,821,
238,859,576,925,139,118,282,606,507,555,203,293,786,625,116,241,071,308,288,
544,467,821,729,768,533,502,116,313,645,523,861,955,338,763,171,956,233,636,
710,798,408,708,175,550,318,665,323,291,104,755,558,341,835,630,549,697,551,
905,972,630,219,090,921,481,212,531,188,484,940,428,219,762,936,112,258,329,
299,199,043,044,066,349,243,756,941,258,044,777,701,874,548,294,636,703,017,
470,724,270,104,980,372,834,014,297,273,664,798,953,378,209,758,587,478,453,
008,596,614,801,760,341,937,941,070,297,790,808,053,995,013,434,413,300,588,
008,282,418,836,714,676,497,792,048,141,993,941,717,611,011,674,055,795,503,
359,121,174,586,154,478,038,787,373,772,325,682,139,716,448,664,162,833,386,
799,141,719,913,948,050,194,473,723,981,455,703,403,005,287,981,349,872,725,
862,714,945,048,291,573,331,660,459,215,725,932,149,336,196,953,856,339,163,
004,025,016,420,805,526,425,833,662,892,731,042,075,092,859,972,855,138,910,
894,383,882,715,370,768,288,392,601,549,963,924,584,259,810,398,499,709,926,
269,142,713,212,774,571,731,120,273,968,511,821,875,874,596,652,225,088,349,
295,472,696,844,031,815,726,070,045,226,079,545,618,481,772,126,654,205,758,
907,553,806,488,930,182,245,270,058,971,448,047,846,075,648,696,664,944,242,
654,740,296,327,008,202,798,099,971,779,269,072,994,277,657,625,069,176,533,
000,072,662,349,874,557,079,662,976,546,461,744,084,586,888,089,705,943,690,
867,171,364,685,578,715,119,630,250,158,266,643,369,641,746,099,341,346,532,
899,332,460,023,776,068,202,095,258,135,815,042,117,390,149,265,019,565,634,
207,500,608,323,520,546,672,134,677,242,697,016,883,756,839,430,056,962,824,
959,185,247,501,741,576,637,935,042,932,922,115,293,723,022,530,862,999,524,
106,307,984,582,583,204,947,466,683,774,664,631,741,771,606,551,577,152,697,
765,341,294,488,576,335,087,399,517,444,006,317,545,993,598,146,296,566,436,
641,553,734,400,592,097,373,674,094,064,435,451,817,566,915,398,780,262,431,
911,350,883,840,805,507,966,676,677,417,055,800,338,532,069,702,242,126,117,
719,319,196,157,542,812,509,234,688,285,344,026,144,066,509,443,094,443,266,
996,774,282,192,035,135,599,365,372,012,227,915,252,527,526,044,866,308,422,
417,320,463,990,478,143,664,270,454,113,419,951,547,135,036,183,320,053,579,
789,411,515,404,745,132,303,761,290,456,830,803,155,283,906,616,439,744,841,
669,607,882,637,320,127,522,211,167,865,349,298,486,175,095,707,778,331,123,
185,295,434,348,665,445,997,555,266,991,984,038,016,357,441,810,032,970,560,
215,622,177,778,903,177,337,279,295,883,789,311,886,073,100,897,786,682,132,
579,681,274,446,074,698,104,076,303,301,220,059,852,975,608,631,701,154,530,
707,543,474,338,451,828,791,480,790,760,625,981,829,114,856,060,960,945,028,
368,818,693,036,694,064,706,375,022,039,939,042,042,469,699,649,892,154,455,
266,236,650,699,980,616,443,544,141,540,321,785,336,666,203,405,334,008,815,
685,559,667,847,763,124,106,070,009,847,982,476,490,950,373,106,983,300,278,
322,987,604,548,561,615,601,004,371,722,380,791,107,446,982,054,788,935,088,
531,554,113,524,456,439,799,941,730,166,265,209,025,878,628,735,085,796,671,
196,546,510,151,035,265,235,980,334,389,962,897,449,339,819,968,994,525,104,
359,698,037,140,369,888,535,189,391,755,711,508,854,137,151,354,798,337,991,
932,718,409,287,144,864,411,990,843,748,307,185,197,429,818,334,567,803,252,
752,743,491,750,791,127,491,033,309,841,302,499,831,546,396,738,067,949,834,
670,392,089,018,454,408,015,069,409,589,996,016,657,800,748,599,100,492,147,
268,785,591,888,534,042,194,404,868,091,459,504,711,774,311,645,251,911,933,
975,016,427,206,968,486,529,768,684,167,934,872,112,183,595,631,133,082,760,
727,833,151,676,334,275,352,797,307,868,941,379,214,935,242,953,222,342,181,
546,966,843,393,420,027,175,092,016,816,048,589,922,563,959,033,191,138,063,
039,074,530,400,460,874,707,058,802,860,388,682,697,781,257,163,554,785,384,
243,204,966,740,869,010,520,139,919,428,826,183,233,631,112,738,461,903,235,
723,788,588,785,686,700,335,770,041,836,386,663,632,158,305,782,857,123,194,
757,739,811,943,414,933,245,550,404,472,681,727,704,833,891,511,905,629,569,
242,329,269,366,071,940,950,963,288,415,034,895,158,455,109,464,213,464,282,
676,160,385,289,703,260,779,610,579,101,405,388,396,924,504,249,081,523,170,
168,354,991,275,893,152,017,752,166,257,659,488,096,638,047,674,195,911,907,
326,065,242,504,550,950,339,551,824,252,677,093,071,827,184,043,697,727,715,
266,152,879,486,899,189,907,926,923,383,866,323,033,912,699,260,360,090,359,
216,199,860,368,924,709,014,943,831,205,428,762,426,298,479,172,233,495,130,
663,547,377,702,357,686,434,102,851,134,751,084,193,369,633,516,312,453,343,
206,424,979,243,482,627,132,159,565,243,434,053,309,490,745,887,289,038,306,
325,754,904,519,834,177,407,545,203,749,916,634,640,525,308,274,843,945,077,
891,184,357,155,235,237,049,844,687,518,079,558,802,617,450,159,425,325,564,
209,813,080,974,968,155,814,097,084,058,426,874,399,879,561,863,526,029,990,
242,943,879,581,571,488,180,417,866,415,211,128,756,454,497,388,801,666,242,
438,904,737,011,305,459,193,341,905,579,443,685,086,367,038,447,309,099,681,
575,654,560,079,160,616,440,442,887,465,359,794,238,664,998,587,112,490,895,
594,716,821,648,202,537,437,265,429,371,949,440,888,039,041,597,028,526,850,
846,017,006,149,952,436,045,378,167,152,646,254,082,711,214,046,016,813,302,
162,123,039,577,792,117,039,172,558,620,959,139,586,061,537,763,378,434,499,
715,103,560,215,935,885,659,318,906,388,774,101,220,644,838,238,251,302,376,
192,873,892,976,521,463,589,349,588,828,715,934,301,968,262,297,963,196,545,
689,779,670,459,173,491,874,749,200,819,319,988,713,706,538,178,554,422,914,
074,481,718,133,296,765,958,940,625,263,645,928,287,701,330,054,668,603,088,
154,512,109,556,554,071,172,977,659,470,286,392,258,595,898,271,077,781,139,
508,362,604,195,443,800,420,789,436,460,119,339,023,166,252,799,639,319,015,
782,073,277,342,177,947,319,673,068,941,315,550,905,857,312,591,144,507,511,
234,936,254,560,864,505,853,331,151,816,288,658,272,767,506,430,794,386,276,
364,353,855,266,719,335,222,863,849,802,518,035,381,841,629,432,087,940,386,
003,301,922,334,266,481,774,284,512,716,100,511,414,168,983,645,975,232,279,
412,144,517,183,738,401,531,994,258,465,125,555,278,926,284,396,719,208,305,
856,505,864,397,880,403,746,313,491,133,857,188,562,983,690,328,059,069,375,
182,647,088,692,558,620,952,764,243,676,728,607,846,221,968,989,718,767,133,
877,611,294,516,064,689,033,153,750,971,855,295,809,719,915,945,072,588,343,
244,883,503,180,044,768,891,196,496,903,030,047,658,392,776,220,850,789,560,
028,751,166,487,925,279,224,798,107,926,891,826,088,376,573,299,126,999,481,
183,130,476,833,683,923,183,217,684,608,668,717,359,362,797,216,285,226,741,
383,180,451,107,860,510,196,053,222,234,073,412,341,901,818,427,242,100,923,
668,657,507,152,836,305,898,836,688,238,750,689,264,302,890,418,300,597,074,
169,786,367,836,983,835,997,953,535,846,433,577,652,451,323,105,531,681,444,
953,804,174,030,750,906,411,947,492,899,866,897,082,485,439,982,196,709,876,
773,644,795,751,970,799,339,827,533,356,614,355,493,297,901,501,734,418,815,
888,631,638,458,745,244,165,448,160,128,445,749,392,809,381,739,580,265,444,
068,491,985,104,765,704,495,263,642,877,323,089,893,037,295,429,161,551,821,
881,747,948,907,452,630,646,397,023,274,094,332,581,059,586,005,280,333,727,
763,650,548,538,525,840,589,076,420,598,622,599,668,104,485,442,531,366,278,
107,875,156,950,869,826,331,903,424,629,299,665,434,322,544,915,115,009,224,
566,086,335,163,335,936,572,757,407,744,880,249,260,608,371,124,716,960,841,
905,538,969,079,539,690,164,826,566,112,163,477,844,288,668,181,546,897,805,
337,872,767,246,476,045,507,133,804,633,323,270,180,769,426,786,083,423,172,
116,265,035,651,244,326,869,035,293,875,051,699,914,122,404,868,866,342,477,
560,332,767,264,936,130,509,478,314,516,294,238,010,312,712,431,202,868,242,
860,499,632,376,340,066,155,347,847,093,835,801,169,050,619,163,040,103,196,
999,546,539,339,060,159,703,024,302,049,664,054,746,649,160,024,985,984,717,
053,438,440,630,213,261,266,596,941,858,238,555,081,620,948,001,797,320,785,
215,585,609,132,531,526,204,478,097,028,946,714,144,922,045,133,565,810,805,
962,761,213,271,824,680,936,195,785,937,919,917,204,607,268,420,093,015,120,
624,902,365,064,572,231,180,925,292,222,503,214,193,273,984,426,791,710,843,
561,260,683,936,654,938,925,564,785,695,596,959,198,629,046,559,511,259,500,
564,681,825,733,618,686,694,980,986,853,217,068,624,612,061,863,491,813,202,
757,436,654,031,649,995,832,267,429,225,379,700,622,055,828,130,475,401,389,
101,506,916,244,279,696,080,137,453,997,376,496,566,549,588,503,872,716,178,
622,070,820,373,957,562,306,494,960,945,989,265,856,335,347,833,339,353,479,
493,520,652,464,417,163,488,842,620,687,536,556,904,153,517,032,668,363,256,
287,952,044,626,205,932,505,688,392,019,938,339,279,316,716,630,934,925,925,
257,999,022,124,437,876,737,483,126,855,352,254,011,160,118,242,022,550,193,
273,300,360,553,396,094,039,326,204,230,724,114,572,837,734,883,316,174,355,
048,190,416,458,481,185,979,254,356,675,173,057,643,602,937,078,256,635,665,
235,116,855,507,460,690,038,120,181,279,701,328,101,096,598,350,333,840,326,
459,891,336,934,352,590,965,900,890,095,036,857,193,751,886,969,507,521,077,
585,078,284,811,416,439,569,348,851,351,267,549,202,119,236,969,922,470,692,
728,620,298,167,771,647,264,971,379,062,349,780,123,624,430,506,921,018,973,
183,187,613,943,032,989,224,373,131,330,637,599,014,303,542,303,910,717,641,
079,523,477,156,847,393,111,371,333,280,753,002,103,470,432,257,511,615,578,
192,801,418,268,901,699,695,096,019,672,905,792,939,681,803,022,637,491,432,
184,856,954,054,252,230,132,628,874,588,938,373,320,416,383,568,519,548,635,
795,216,723,062,983,418,414,724,836,368,433,898,625,302,902,971,492,796,198,
367,766,318,700,716,593,629,690,530,747,130,599,555,892,790,210,432,557,712,
160,314,472,184,120,510,681,847,118,513,097,507,382,230,670,451,478,205,802,
302,172,956,513,016,985,146,219,618,080,884,882,440,153,092,231,255,996,421,
273,790,694,010,312,469,895,452,982,219,870,758,037,450,247,706,320,428,767,
472,697,738,197,637,589,701,321,830,507,473,180,451,452,346,844,786,886,003,
467,870,743,518,782,722,874,381,752,179,782,658,171,405,139,358,519,758,687,
966,607,501,401,094,601,081,174,101,486,469,963,524,251,193,966,017,876,556,
055,211,967,853,874,123,708,946,301,689,059,496,880,009,235,990,834,830,340,
604,293,536,978,476,596,783,792,993,819,662,671,829,092,268,989,087,574,312,
290,473,557,038,179,737,626,932,722,056,615,309,982,862,597,262,092,819,459,
211,228,345,831,426,265,174,602,996,417,042,686,884,584,119,766,930,130,326,
455,054,710,844,697,428,977,818,525,932,061,413,670,797,462,681,905,427,061,
533,388,432,040,299,722,387,398,657,299,581,781,683,948,679,808,144,206,274,
428,141,095,168,064,166,117,509,610,095,199,817,703,624,729,353,417,821,193,
355,381,036,484,833,138,503,055,760,788,409,007,209,106,920,495,663,252,667,
498,765,525,948,349,262,792,391,257,646,542,838,133,468,558,064,186,157,910,
309,545,866,787,556,568,931,462,393,720,352,453,278,547,745,670,899,096,700,
859,308,074,754,457,163,908,898,301,573,409,519,300,834,504,040,917,584,134,
885,969,657,832,150,980,192,063,580,634,977,810,845,700,061,724,157,957,485,
730,406,145,895,067,301,400,892,291,104,455,039,430,963,468,579,552,093,628,
071,090,111,456,014,866,884,810,396,698,511,700,100,078,018,855,462,269,961,
480,318,691,603,339,166,355,651,669,962,613,888,923,591,611,624,096,206,508,
196,827,029,040,294,438,983,438,401,018,385,735,940,897,076,292,520,779,675,
057,031,642,348,787,021,231,831,322,298,298,855,044,128,287,839,336,705,917,
624,049,111,939,343,222,786,353,680,691,802,809,554,642,704,850,114,956,616,
505,303,480,350,338,535,349,734,055,460,322,595,680,864,577,020,530,153,328,
176,173,786,780,676,899,972,186,244,061,225,393,570,027,660,115,711,972,209,
309,406,781,137,036,884,586,081,792,153,938,094,743,386,072,355,360,147,968,
007,524,882,774,556,437,062,037,372,273,721,282,706,993,289,359,517,166,654,
094,952,422,479,013,292,508,461,674,183,451,577,803,888,752,462,573,441,076,
343,781,520,576,978,705,310,365,056,954,096,198,816,176,366,537,832,502,861,
126,900,701,100,894,556,277,958,939,708,193,311,344,557,654,813,356,609,585,
428,704,883,507,272,837,883,079,080,881,443,424,603,993,011,210,111,840,435,
406,414,515,448,308,289,851,094,479,428,932,902,260,078,476,105,560,468,435,
379,513,722,901,295,927,652,003,695,398,747,555,368,730,889,687,041,635,348,
408,587,534,358,011,777,209,565,934,343,573,930,902,201,226,883,903,290,080,
985,008,833,922,857,194,148,999,984,850,002,582,739,015,675,080,461,842,965,
784,252,545,135,832,761,305,868,675,386,682,891,650,441,390,994,096,802,815,
382,582,524,504,739,698,246,999,964,429,488,780,999,768,787,771,704,426,758,
030,699,150,349,784,539,122,008,904,031,687,592,925,176,649,903,727,643,695,
286,186,963,846,593,537,493,113,285,712,443,499,072,477,089,663,639,242,122,
199,968,120,709,253,272,857,147,958,951,792,969,641,360,339,403,240,504,422,
159,787,703,180,109,476,115,173,117,766,449,973,615,044,929,540,325,293,571,
520,760,890,168,387,361,177,534,168,680,347,180,262,066,062,201,638,318,714,
766,300,632,639,562,715,008,558,289,495,127,569,122,733,288,507,796,663,398,
305,432,826,016,477,469,357,615,965,366,357,078,783,126,462,534,500,310,244,
996,567,317,269,266,819,957,084,817,616,960,084,038,238,295,323,639,718,536,
317,333,513,923,731,812,123,492,193,758,396,307,136,890,887,979,235,391,775,
065,309,416,528,148,665,982,871,060,540,533,887,606,000,936,826,667,141,009,
811,647,246,563,398,656,032,104,831,062,491,414,712,161,792,535,822,331,259,
189,358,381,493,243,825,169,364,232,931,410,600,696,895,396,653,073,100,285,
540,445,244,373,753,398,797,452,958,088,750,435,049,907,850,003,651,461,670,
007,093,942,152,911,420,794,115,382,091,923,414,250,903,649,779,638,642,084,
439,460,856,617,390,341,936,795,475,074,746,835,377,394,161,859,672,047,896,
088,565,629,776,489,177,942,721,676,142,480,000,844,019,169,922,899,505,167,
940,906,844,442,313,512,947,324,118,644,329,106,111,743,184,143,743,195,950,
940,682,997,933,810,927,850,320,035,744,254,117,363,932,183,815,967,711,550,
478,247,721,892,354,805,410,366,341,571,061,319,721,927,932,760,413,774,859,
734,785,936,024,083,457,492,467,634,706,042,472,377,221,134,345,611,850,397,
953,820,148,084,451,670,788,507,968,240,646,685,612,045,695,334,142,712,241,
520,844,683,082,206,033,610,851,508,445,803,215,127,848,202,264,057,817,570,
816,536,381,977,150,875,907,498,116,417,422,033,196,995,063,680,154,993,686,
617,245,394,586,494,280,998,308,264,976,610,383,881,670,717,096,802,107,943,
266,327,121,494,932,470,014,931,515,360,499,794,719,363,022,380,056,971,848,
167,373,442,131,783,085,068,495,669,867,133,271,049,133,566,179,476,966,851,
046,509,122,828,232,784,925,908,468,461,629,449,853,996,499,150,436,744,845,
470,934,344,150,399,606,167,612,083,673,344,126,672,534,221,943,598,304,914,
911,935,530,958,211,188,437,545,894,064,694,800,396,559,481,752,700,693,720,
680,668,090,557,297,398,298,744,495,533,662,345,144,567,759,309,626,987,202,
816,460,529,363,619,417,869,153,287,256,349,283,996,900,025,138,851,237,589,
285,602,915,954,603,802,179,158,308,006,020,197,513,103,817,921,150,647,404,
759,615,826,067,357,008,514,705,376,109,807,035,534,107,567,934,048,709,426,
574,438,496,651,123,386,888,139,115,132,932,759,224,825,293,940,079,038,775,
093,260,389,026,142,012,345,858,966,218,213,664,589,207,925,430,780,351,063,
747,277,344,676,707,029,696,972,101,655,572,324,646,471,627,447,808,724,861,
279,558,621,036,479,784,349,873,593,223,758,989,348,178,944,381,248,111,512,
548,151,141,015,410,389,271,139,182,508,125,690,707,750,066,968,444,451,210,
918,343,528,155,186,168,639,068,867,151,874,198,016,595,832,471,731,064,446,
875,795,727,536,161,697,451,897,180,502,746,595,234,713,165,381,065,932,060,
447,827,038,254,053,496,446,188,824,884,788,966,017,375,216,553,545,322,337,
931,966,460,326,903,182,788,832,274,506,389,974,875,956,077,442,080,058,172,
630,192,338,356,939,585,737,013,091,159,217,464,173,932,856,095,378,857,428,
197,944,991,889,829,279,882,475,205,327,220,565,561,909,582,264,275,708,541,
429,997,765,517,046,862,755,759,491,266,285,339,235,668,484,124,091,900,569,
406,495,263,238,353,852,460,000,116,583,872,066,372,812,576,640,793,491,170,
434,041,967,732,124,731,191,958,494,359,481,507,649,939,106,896,008,699,353,
825,581,481,690,057,934,612,243,211,847,469,629,278,981,608,139,128,123,832,
645,166,012,272,462,662,118,002,290,741,707,158,297,658,329,179,946,491,924,
241,560,751,482,392,588,882,518,902,156,328,479,441,521,440,240,256,444,575,
763,852,945,497,071,081,503,709,829,843,680,222,888,397,650,454,976,480,898,
338,349,020,870,279,172,878,808,867,333,782,501,345,704,067,426,832,791,112,
193,305,677,969,260,297,262,164,205,830,156,129,911,145,497,689,916,286,407,
690,867,000,086,598,825,516,224,094,185,878,195,003,198,643,464,590,150,962,
367,127,804,211,010,124,719,554,176,167,332,741,979,879,842,373,005,295,558,
053,444,975,557,442,041,602,440,048,560,330,872,765,377,706,819,638,571,030,
975,837,125,129,769,432,020,880,288,152,153,081,350,381,074,255,928,342,538,
238,719,414,979,405,909,686,519,892,137,407,757,541,885,286,575,911,040,942,
435,167,364,501,142,345,532,550,115,275,724,829,410,580,712,937,415,371,807,
223,318,199,033,841,515,618,877,285,676,900,929,056,785,544,300,667,309,135,
798,451,477,944,794,196,846,240,377,295,234,984,274,504,748,869,039,880,635,
797,321,615,149,882,905,434,315,014,657,151,016,429,803,713,169,413,164,615,
424,519,982,521,531,575,592,675,015,667,564,582,797,760,164,617,261,833,064,
063,939,364,803,351,680,118,852,624,015,289,694,540,235,737,574,662,784,805,
834,063,407,663,328,309,690,403,532,119,642,648,984,823,833,422,913,017,915,
591,607,439,168,990,551,040,428,440,805,067,548,645,692,950,699,632,306,319,
106,709,044,287,624,730,821,104,529,140,196,448,175,943,654,012,094,348,423,
833,854,791,562,588,237,310,651,147,345,667,300,974,478,531,553,022,754,306,
924,728,478,908,121,171,657,274,452,281,193,387,482,297,984,680,226,551,870,
421,681,662,203,632,415,032,199,144,137,239,852,372,544,738,065,748,490,083,
052,507,038,239,404,919,059,419,580,391,272,796,314,159,789,612,294,170,148,
326,267,027,341,941,094,539,956,697,250,052,542,423,018,795,706,381,596,067,
399,395,568,754,364,114,027,048,419,376,951,938,787,660,493,229,560,866,707,
007,226,057,140,058,492,807,511,230,362,419,036,997,712,891,292,985,872,999,
730,675,411,197,344,678,008,924,277,479,512,180,353,774,930,595,311,827,003,
501,408,813,942,507,890,864,002,868,476,637,590,725,848,556,714,708,835,343,
683,122,377,143,918,333,395,294,561,081,612,782,624,747,079,732,000,829,631,
642,687,623,133,808,967,659,248,608,095,624,434,093,539,824,143,638,028,856,
349,445,101,757,186,061,677,690,240,378,281,639,815,824,214,056,518,322,966,
251,391,593,270,591,768,506,149,600,219,906,661,136,564,059,765,177,443,408,
062,092,076,795,640,779,731,844,924,346,757,273,810,480,419,522,384,637,970,
662,403,701,569,070,947,621,220,426,104,300,493,012,218,540,146,629,933,068,
814,997,388,299,373,427,553,658,757,188,403,728,323,226,447,642,659,284,582,
243,475,666,292,161,677,205,857,615,519,994,692,681,498,260,272,120,135,069,
114,375,399,021,577,368,377,292,277,487,852,330,269,744,007,835,552,900,279,
905,106,933,366,267,862,484,008,855,314,973,490,969,611,224,240,151,559,778,
965,368,820,261,859,614,506,259,141,383,947,250,457,132,289,919,462,562,024,
046,480,520,721,291,179,775,045,833,507,954,631,418,492,853,236,025,888,823,
457,191,615,361,112,040,673,061,215,119,121,011,606,162,602,397,495,464,710,
635,141,984,545,928,207,198,306,210,691,936,014,637,545,195,502,490,737,723,
486,295,807,114,372,555,984,536,515,861,787,111,639,751,030,208,456,185,734,
190,537,865,964,046,934,565,906,386,572,665,415,426,734,447,981,370,967,241,
625,556,147,482,922,406,039,338,695,472,520,498,001,878,918,560,631,545,357,
959,487,531,232,002,860,693,772,988,911,436,813,227,902,570,358,300,486,755,
976,904,123,937,565,142,383,851,641,719,051,472,522,331,910,551,880,118,850,
805,330,697,385,188,848,608,953,425,084,785,270,637,205,053,898,538,254,447,
009,856,500,074,607,189,278,509,141,700,684,877,720,010,813,254,502,885,570,
162,515,920,942,188,639,438,978,760,609,589,064,294,515,114,211,774,819,538,
238,471,258,849,290,965,260,873,947,237,956,676,808,935,526,655,832,443,792,
179,698,314,262,052,331,025,281,123,732,914,756,057,653,668,920,502,357,755,
573,252,882,609,530,327,425,887,238,290,259,558,677,067,054,523,639,659,105,
355,428,045,781,170,205,042,114,541,712,642,103,284,798,314,438,648,959,584,
137,707,764,226,687,087,925,613,374,473,093,579,023,084,693,236,787,618,388,
639,082,361,843,851,706,731,460,168,210,796,565,079,007,616,760,732,016,826,
632,472,661,812,978,910,772,622,532,162,154,622,360,587,578,795,681,910,695,
964,439,631,018,382,643,709,243,386,342,105,803,716,395,434,261,034,939,729,
757,829,319,686,785,929,365,616,885,476,048,690,242,964,892,300,942,747,375,
870,985,860,773,535,553,404,333,778,799,900,524,468,283,022,611,073,196,869,
155,163,523,518,630,464,756,049,872,478,726,018,270,645,793,926,212,828,369,
011,993,689,785,943,778,878,881,313,281,550,666,213,176,731,770,794,253,768,
456,341,888,579,263,701,473,944,640,047,989,242,251,001,759,981,601,049,385,
981,465,199,553,021,291,101,817,632,545,697,761,162,097,812,137,561,952,252,
661,142,785,390,431,109,937,059,476,147,811,077,040,215,177,539,276,272,846,
325,169,171,773,900,856,735,872,355,502,332,853,454,774,483,792,448,190,002,
228,488,277,192,412,774,068,375,140,476,002,693,376,952,405,850,994,184,345,
334,480,098,340,242,550,530,885,460,859,713,285,315,526,296,464,849,319,437,
747,433,330,152,330,927,503,244,757,799,470,405,855,891,993,804,594,179,161,
913,296,802,320,761,099,026,726,739,499,736,806,917,718,074,398,717,298,415,
721,340,666,179,423,116,361,575,139,259,800,423,174,857,573,027,611,616,979,
973,534,260,961,443,206,690,124,609,716,448,136,557,585,380,158,130,647,807,
974,761,244,861,447,990,441,202,565,094,189,040,270,557,508,158,624,946,069,
334,396,844,282,635,735,227,488,745,754,349,176,997,996,685,419,433,228,483,
251,117,053,332,135,237,997,192,820,407,228,002,891,450,713,452,473,598,188,
209,986,647,695,970,053,988,308,268,928,896,829,123,265,285,151,743,913,613,
920,131,768,633,703,689,465,217,024,916,278,615,932,042,580,191,818,945,086,
515,714,400,554,458,733,399,853,393,548,638,898,112,987,809,218,720,405,631,
525,409,734,400,193,353,133,365,374,571,453,948,678,634,527,062,757,563,560,
283,410,467,420,891,678,550,854,334,739,903,482,412,239,074,231,354,374,241,
783,613,554,284,536,268,482,263,698,612,094,859,343,548,748,747,141,154,932,
686,098,642,293,330,100,563,104,777,008,015,360,414,875,527,803,510,238,151,
250,222,350,785,468,701,914,705,087,877,137,173,728,077,020,617,006,834,166,
234,429,812,936,953,309,146,622,925,380,150,955,073,504,099,621,313,442,156,
127,079,337,075,291,475,251,514,880,171,767,195,187,035,045,828,898,276,625,
654,314,105,129,009,304,905,032,311,059,529,831,595,045,800,001,830,992,124,
436,691,203,656,857,759,631,546,280,282,737,346,819,104,579,731,574,098,237,
200,612,974,747,338,098,627,263,964,768,043,638,070,801,771,316,307,112,386,
340,361,050,993,982,086,644,151,317,798,239,122,860,550,083,521,155,773,765,
976,134,228,092,297,300,985,843,558,459,636,969,435,681,483,333,101,063,610,
502,836,720,035,049,917,745,954,846,921,239,859,873,548,675,596,274,491,168,
127,460,978,932,856,486,372,797,942,080,232,035,532,980,381,299,697,328,945,
215,930,784,165,178,537,271,110,655,730,411,318,752,619,878,789,308,297,765,
067,671,280,368,581,409,370,892,962,067,193,423,542,109,722,826,605,100,809,
836,532,530,962,057,620,233,243,865,949,917,879,276,388,615,386,430,404,800,
248,798,692,408,195,645,269,111,743,509,951,531,104,200,983,728,302,092,617,
001,942,409,763,938,489,226,706,898,374,857,462,322,829,836,522,019,431,737,
858,388,556,145,764,420,567,928,803,215,590,917,145,655,888,417,228,300,083,
350,307,167,993,690,234,112,353,737,002,899,147,104,465,474,580,266,220,635,
418,846,243,843,170,147,069,462,852,998,304,264,530,063,661,360,727,619,465,
221,412,026,018,590,884,852,476,391,297,780,075,406,752,886,340,780,938,572,
292,035,348,929,143,250,532,407,476,776,525,705,383,739,540,847,877,684,844,
192,060,962,134,089,259,451,830,328,653,779,009,286,706,741,840,547,757,772,
198,988,687,000,464,085,872,465,362,523,067,198,511,846,741,533,252,427,980,
800,039,006,669,549,348,408,567,476,609,894,074,633,155,017,476,917,286,853,
164,130,098,020,456,107,768,721,718,194,622,767,143,206,069,615,254,109,169,
709,546,431,153,453,309,172,551,550,041,628,854,656,705,614,867,400,293,282,
498,810,006,942,112,232,167,881,161,647,375,143,827,684,850,560,427,940,001,
534,415,919,659,501,477,841,959,295,659,147,090,835,348,095,866,793,281,025,
447,659,222,612,599,417,716,381,545,137,042,162,018,478,147,346,515,990,164,
708,118,719,577,709,222,958,784,598,394,525,540,682,000,275,359,551,301,456,
007,409,258,171,618,469,531,853,611,743,905,857,433,072,747,142,887,867,534,
376,894,236,281,522,579,279,036,461,145,023,936,000,448,497,797,931,715,100,
229,808,451,216,904,041,703,084,445,359,223,557,491,535,704,453,300,609,355,
771,443,281,896,460,608,789,642,057,558,957,861,311,213,342,033,178,713,762,
744,555,371,788,477,130,617,506,751,275,115,332,461,258,424,640,343,256,468,
023,877,577,081,478,534,471,434,492,803,614,976,496,141,508,343,329,553,807,
136,317,464,425,009,895,104,050,902,255,813,114,775,889,431,246,134,837,663,
838,755,872,524,777,450,238,594,970,035,621,173,758,009,426,515,980,038,195,
522,686,409,231,993,536,181,117,445,102,967,351,176,954,818,133,509,023,427,
275,290,519,487,263,066,872,010,958,647,305,036,948,650,607,179,640,938,503,
760,610,300,868,655,402,329,941,221,578,253,724,984,110,210,209,400,606,246,
197,316,750,540,547,801,554,248,543,732,429,257,374,805,206,663,206,597,803,
663,038,644,797,268,764,824,832,716,905,120,843,806,418,349,760,797,245,958,
489,763,414,514,872,861,589,010,887,474,823,710,213,637,191,064,413,372,443,
193,090,367,060,822,489,669,452,102,435,073,673,010,541,840,706,206,786,996,
114,854,174,542,377,317,135,019,582,518,864,568,769,945,715,287,906,070,292,
977,790,366,691,117,363,040,031,838,987,060,010,772,751,660,271,515,765,483,
087,385,276,729,096,750,882,383,661,691,706,090,941,057,138,262,082,169,935,
187,649,965,064,275,278,825,264,807,935,661,740,111,699,970,502,071,112,705,
998,878,447,954,208,342,134,579,844,560,039,552,456,285,357,734,480,208,867,
551,571,928,293,754,092,329,629,675,585,951,590,208,647,444,690,748,096,391,
867,504,789,660,588,126,006,509,031,975,858,878,543,625,640,266,885,133,873,
388,086,107,949,504,980,887,957,269,615,215,033,706,477,887,143,573,354,767,
908,983,386,846,217,820,552,082,059,479,542,373,100,969,408,817,783,324,472,
435,177,133,667,774,463,060,850,704,082,430,965,406,029,129,816,256,320,725,
162,504,991,215,922,275,697,768,328,600,001,474,292,266,298,520,272,349,129,
236,815,140,342,569,853,378,431,478,029,722,544,318,735,636,177,422,242,343,
583,424,072,000,397,918,818,059,554,359,959,963,923,571,279,074,832,299,180,
642,848,809,327,185,993,864,298,164,038,499,547,216,453,248,000,629,961,444,
331,972,120,429,999,591,700,615,073,457,528,973,219,404,309,534,052,705,438,
185,503,472,987,584,865,440,682,457,560,184,359,414,343,281,346,683,213,981,
366,601,851,036,441,141,741,789,616,900,268,007,729,410,620,853,686,560,896,
905,585,075,510,371,430,587,928,704,417,690,953,998,660,545,823,164,172,918,
859,879,019,159,120,644,195,522,697,762,058,024,748,867,669,065,593,478,878,
877,696,935,958,420,669,513,479,637,734,935,832,107,511,972,320,507,070,404,
313,848,604,568,188,840,725,573,170,437,346,586,407,084,475,548,035,868,731,
437,806,274,908,955,407,280,999,041,552,125,964,227,944,455,901,455,917,271,
351,187,742,393,362,207,323,025,128,220,889,603,267,642,483,124,064,652,300,
468,011,773,151,401,564,898,286,656,434,399,935,419,777,504,637,408,258,632,
750,677,706,368,288,167,442,984,624,039,084,101,564,226,562,092,754,191,254,
541,969,613,565,875,402,172,356,533,927,511,232,875,018,325,957,833,886,733,
695,400,298,721,756,639,919,355,907,128,507,965,950,845,127,749,376,345,569,
430,176,148,288,705,516,316,780,561,839,657,335,077,708,945,795,964,107,775,
611,755,919,244,198,958,334,078,222,847,491,584,946,751,844,176,463,120,559,
204,737,656,086,989,175,860,502,856,840,422,153,912,796,061,047,889,180,061,
747,340,735,836,484,733,049,749,416,869,017,034,177,251,865,461,132,084,511,
203,370,747,099,032,939,751,956,499,851,556,238,858,392,646,003,556,624,611,
929,409,512,967,864,294,914,868,824,395,426,405,161,471,839,101,472,374,711,
113,941,255,273,768,381,630,791,646,448,170,885,202,144,825,749,859,319,726,
293,742,865,720,455,404,902,206,528,751,433,095,901,740,256,932,473,578,943,
294,695,680,434,355,951,569,510,138,700,654,569,514,395,660,176,668,537,782,
247,677,234,503,622,963,241,943,168,884,428,588,375,198,977,345,552,684,807,
848,075,392,094,386,154,773,592,278,329,617,405,788,220,274,476,890,601,605,
946,639,630,742,543,877,099,085,119,490,399,180,306,652,623,097,398,015,522,
172,110,694,580,314,157,140,286,883,014,885,339,403,667,258,408,737,718,252,
897,394,975,124,423,919,622,794,622,436,410,077,724,129,489,497,358,976,248,
781,152,073,324,763,200,027,179,218,836,866,586,094,242,116,527,193,543,968,
971,526,827,253,023,277,246,541,638,032,288,070,849,578,387,808,039,186,240,
770,447,901,299,160,485,298,935,077,025,354,541,481,181,569,592,988,162,021,
779,625,044,689,071,532,798,055,500,990,481,643,900,282,913,847,002,608,936,
148,224,923,566,243,209,854,732,980,007,482,752,129,788,690,101,032,269,656,
396,206,172,702,377,138,453,040,870,552,543,980,979,385,935,556,187,057,282,
161,015,695,354,194,010,771,089,128,401,694,078,528,112,283,819,570,050,622,
554,610,577,880,514,598,360,617,588,535,984,809,541,649,578,358,739,169,485,
960,936,073,021,140,829,183,138,221,545,467,084,633,105,312,945,233,136,138,
916,309,585,200,290,948,154,103,882,084,901,088,118,452,321,120,160,645,605,
652,683,131,961,109,550,353,824,058,154,608,215,718,620,362,683,085,645,218,
273,278,886,890,745,356,604,632,139,882,213,375,000,762,379,583,006,520,316,
684,179,302,927,912,274,684,506,537,626,379,582,140,197,628,995,440,962,880,
785,616,513,296,697,298,837,124,404,751,858,119,835,784,023,133,530,646,900,
987,685,910,693,370,405,416,476,627,178,953,156,822,191,175,719,504,133,387,
999,178,573,047,730,596,754,466,532,227,249,924,749,240,233,129,453,855,722,
644,936,170,764,468,138,607,724,669,800,761,400,116,486,495,496,965,116,750,
596,530,450,705,366,108,873,294,609,339,870,666,691,390,874,399,228,735,221,
861,078,217,298,609,509,237,764,722,156,236,956,524,726,787,525,208,229,159,
858,997,721,293,280,964,538,605,514,458,327,683,381,154,575,714,325,581,267,
370,897,964,173,764,002,305,566,809,084,897,470,829,463,345,517,136,489,637,
045,601,031,052,741,126,457,075,455,767,448,290,013,456,804,453,429,022,908,
917,534,067,365,978,972,406,394,834,428,223,331,691,697,700,960,639,512,219,
241,252,963,456,723,459,283,634,619,340,685,226,478,311,905,889,283,496,430,
253,135,931,648,048,098,607,027,864,454,356,618,714,886,365,783,738,617,174,
693,537,273,160,582,421,576,758,030,339,411,648,681,947,328,201,541,080,153,
154,825,959,063,620,434,134,192,829,409,854,587,281,199,628,319,391,840,579,
596,309,187,517,842,660,772,443,873,534,315,093,291,922,897,755,779,850,019,
431,141,406,343,410,211,730,450,033,652,048,059,300,534,440,304,193,000,005,
584,495,903,782,313,793,734,390,718,561,757,227,987,791,335,707,626,916,685,
408,712,520,716,476,635,340,939,284,218,880,476,835,601,874,219,417,997,401,
325,099,389,684,564,873,381,494,885,581,341,454,887,894,984,516,959,246,746,
035,557,744,332,737,966,914,587,530,921,954,496,332,266,960,656,895,581,459,
993,445,015,273,808,370,290,342,282,057,968,543,500,708,456,100,684,351,611,
383,070,013,459,957,016,237,358,400,471,908,236,835,953,474,701,776,769,157,
789,723,406,486,499,349,258,192,986,737,917,323,767,246,613,374,170,155,018,
515,354,048,671,847,629,670,459,674,081,973,335,958,389,122,495,570,568,928,
875,730,118,809,398,904,021,678,503,588,708,366,175,325,925,359,912,022,081,
782,770,447,856,845,381,442,002,990,768,410,768,240,914,702,042,535,769,515,
446,823,900,490,627,465,032,981,045,137,883,181,065,233,480,460,683,622,832,
242,495,296,483,749,586,868,311,298,266,477,087,847,792,311,740,699,089,030,
740,591,819,079,405,883,111,493,054,111,154,044,836,988,096,368,450,413,751,
771,099,481,792,435,018,575,976,098,061,188,319,651,864,352,067,623,300,507,
344,852,002,373,385,647,675,629,797,707,838,011,773,760,004,092,382,850,903,
073,663,786,317,991,108,101,971,316,523,463,476,884,715,159,109,567,624,501,
855,764,646,710,876,582,754,923,674,423,784,632,657,600,731,305,625,254,893,
650,731,629,874,393,583,910,136,820,355,332,684,359,813,394,425,239,181,658,
134,608,414,396,119,474,769,870,716,383,418,582,396,355,380,412,224,087,369,
725,365,913,004,721,367,062,996,562,070,518,287,160,794,578,478,574,401,920,
791,828,030,302,986,868,876,897,919,534,128,349,237,760,510,242,312,568,657,
810,477,820,120,056,841,278,538,496,499,157,951,399,196,829,923,749,522,093,
160,373,779,902,651,330,903,796,079,818,451,107,913,281,091,539,701,685,420,
675,301,033,807,715,953,813,201,733,627,615,050,348,792,231,691,645,483,288,
049,908,117,287,862,984,312,671,382,158,085,295,243,475,040,723,357,461,949,
263,412,825,536,203,880,296,743,009,707,781,687,822,259,020,704,810,395,609,
621,283,848,116,297,049,803,607,363,729,450,282,001,825,751,807,987,839,389,
770,251,409,752,937,053,975,747,177,932,306,299,863,460,164,574,828,965,315,
909,312,691,568,532,638,612,101,519,408,134,245,778,561,894,757,874,438,057,
707,772,966,437,462,772,367,670,513,138,892,662,322,746,580,486,046,875,177,
665,331,119,032,194,590,908,835,116,874,321,688,305,161,996,122,374,693,270,
315,192,186,284,063,211,878,432,674,684,812,101,610,035,393,733,816,464,066,
689,033,142,781,111,076,077,519,673,258,307,485,710,504,704,746,468,551,857,
774,383,560,735,290,595,235,580,067,588,865,137,122,353,888,211,227,014,595,
690,957,139,365,747,486,124,701,078,670,822,370,835,477,018,434,900,857,600,
555,021,044,221,031,827,307,099,415,124,745,953,755,371,567,020,963,113,574,
759,267,241,943,173,884,038,358,607,804,158,996,409,200,979,298,659,265,555,
933,169,426,020,218,205,940,390,940,542,706,306,128,483,049,316,402,512,830,
210,181,155,549,362,003,469,660,095,157,392,925,667,999,415,363,371,175,629,
597,262,233,638,613,056,921,300,354,951,056,664,579,603,687,571,584,450,675,
899,277,321,678,033,445,749,499,053,270,652,209,432,723,365,736,515,680,087,
170,478,151,522,766,735,076,823,433,843,774,159,716,078,586,184,135,435,196,
007,721,800,342,248,511,387,113,932,922,712,264,094,564,852,955,833,359,565,
437,508,469,316,774,396,637,865,691,680,924,504,250,138,098,331,060,671,224,
115,700,093,028,856,384,362,141,052,585,532,193,798,321,812,292,586,220,109,
400,442,251,166,774,782,991,672,474,168,266,696,039,854,946,725,736,160,743,
684,209,030,427,705,624,526,367,205,589,913,619,314,303,943,666,127,233,009,
954,597,604,316,127,022,611,273,083,780,548,559,158,189,301,441,434,327,367,
570,828,797,771,541,997,983,416,869,893,686,931,120,764,876,625,906,154,182,
094,462,154,273,393,661,077,763,312,730,304,285,064,981,169,367,646,655,081,
283,089,948,255,624,357,855,324,790,697,290,634,884,811,683,332,767,025,775,
820,650,877,908,474,129,016,277,670,230,684,188,262,924,357,531,886,266,217,
715,251,778,515,845,927,566,762,129,679,697,873,442,569,481,582,112,311,369,
712,015,550,763,985,181,529,665,736,468,214,219,473,100,147,183,940,530,363,
742,122,200,149,403,450,043,588,267,669,984,471,604,739,799,352,962,760,078,
939,710,550,207,356,337,086,356,803,082,680,570,709,138,566,785,725,048,623,
716,925,251,531,398,655,380,035,013,265,385,923,137,908,557,038,722,915,891,
672,437,361,232,209,525,065,824,916,941,527,809,720,434,065,959,548,656,197,
811,021,773,298,105,083,646,688,554,241,940,270,346,335,465,346,197,621,808,
275,672,251,192,130,321,860,531,018,183,749,268,773,159,786,863,554,132,311,
345,641,202,609,756,688,540,892,044,692,592,875,784,839,901,277,427,468,830,
834,509,266,933,441,140,887,314,576,082,079,269,071,959,893,320,733,362,984,
294,074,971,152,574,574,573,189,642,253,948,895,924,112,478,202,057,244,986,
028,039,740,567,573,759,474,818,640,925,089,872,124,631,028,909,919,383,072,
976,782,668,904,256,940,154,653,247,502,383,683,172,387,484,500,071,106,193,
029,259,840,316,179,367,788,157,288,752,309,056,357,058,342,043,251,288,580,
884,062,259,275,327,926,594,622,175,727,486,363,374,096,218,111,070,845,828,
259,565,592,472,959,781,774,641,900,985,336,348,035,363,527,670,485,569,446,
101,759,353,231,349,111,065,623,173,668,259,947,829,767,330,851,813,679,233,
508,754,085,565,170,312,140,637,340,122,019,884,380,773,719,274,845,117,714,
482,986,470,442,504,563,036,642,748,592,667,182,890,334,506,035,312,275,013,
911,202,638,228,117,560,064,266,068,204,634,317,616,199,729,019,898,650,127,
082,983,929,309,619,861,216,856,678,876,126,236,078,456,969,102,235,651,463,
744,378,568,468,725,565,077,633,517,908,944,468,001,986,081,419,469,558,986,
888,055,741,490,888,451,132,994,408,927,623,087,539,024,796,477,419,843,142,
556,199,717,624,362,660,707,296,098,078,930,793,981,572,981,652,047,300,688,
040,289,862,815,787,854,022,387,042,933,191,381,477,709,600,437,748,391,285,
047,546,386,729,048,139,296,097,245,838,627,825,233,959,805,702,266,894,832,
395,766,425,231,488,699,772,130,108,107,933,133,897,038,872,673,724,780,366,
229,837,555,570,976,712,578,594,742,754,335,291,482,804,007,892,955,446,700,
464,657,621,822,447,617,684,011,183,173,526,429,528,953,877,318,123,228,530,
777,165,483,616,292,889,550,356,382,089,380,708,232,377,603,506,321,581,798,
555,671,887,434,469,849,248,377,048,517,097,214,999,881,856,759,448,191,263,
030,273,423,586,390,853,421,961,338,570,568,441,666,258,539,344,052,161,412,
001,522,377,404,583,777,770,078,394,338,557,475,592,538,211,179,148,563,016,
952,480,812,680,135,864,128,675,858,575,418,974,688,310,642,523,621,362,702,
088,935,538,220,512,711,420,861,518,545,296,832,840,220,844,283,604,563,653,
014,016,649,895,101,963,567,824,475,895,597,143,776,647,568,712,742,840,796,
402,536,146,439,049,834,804,867,443,207,964,015,716,729,217,137,401,241,463,
840,867,891,738,447,617,072,765,945,513,780,801,318,355,549,649,760,132,824,
276,258,664,208,947,242,673,936,546,516,440,305,657,944,917,997,553,448,208,
427,710,809,486,783,000,091,498,045,337,117,096,691,605,093,870,608,313,113,
091,455,415,177,549,688,458,207,745,439,717,099,704,577,188,664,663,303,913,
254,415,512,008,406,532,961,503,046,843,654,803,067,223,158,866,308,292,117,
778,526,903,702,908,339,320,940,941,368,445,044,251,900,155,360,156,111,007,
298,763,229,390,198,177,660,106,091,986,676,153,241,124,079,484,316,371,132,
462,995,428,890,109,394,032,048,175,031,342,547,563,583,412,028,892,941,827,
121,582,469,653,719,898,791,781,946,817,792,671,005,807,404,646,263,867,503,
677,303,557,137,623,700,514,872,539,810,263,852,164,250,991,743,566,208,408,
306,815,370,510,341,447,783,342,044,696,065,656,684,573,690,938,442,695,728,
662,377,711,426,001,879,207,959,596,157,753,713,287,385,563,337,017,356,843,
476,572,578,014,892,827,438,671,168,370,651,390,915,707,485,336,290,120,547,
216,851,565,464,315,037,344,013,308,882,271,913,309,565,226,466,251,058,418,
528,882,777,754,257,094,257,681,249,712,269,901,485,860,831,172,923,822,379,
990,323,228,046,710,696,421,551,371,113,195,479,858,259,152,630,206,487,838,
915,500,544,791,819,791,334,248,124,036,512,997,670,928,383,610,743,762,135,
456,373,606,913,656,311,914,248,152,663,077,208,303,671,957,144,260,768,476,
307,350,882,469,960,279,720,010,616,201,351,372,833,663,127,286,768,807,043,
781,828,437,513,128,490,753,054,459,468,829,117,888,730,483,113,551,236,800,
630,841,304,222,365,309,537,400,396,819,713,013,520,829,168,465,509,952,359,
899,077,366,681,627,119,817,363,918,833,647,222,216,663,219,793,938,158,726,
584,008,303,032,035,057,093,802,243,736,968,727,357,790,204,265,184,458,058,
640,530,867,491,166,761,371,953,643,031,021,813,219,620,445,666,241,189,745,
564,350,060,938,505,982,996,701,047,409,638,483,075,188,981,998,571,507,475,
566,967,128,778,793,198,228,070,691,283,399,897,297,915,423,546,051,747,704,
806,888,996,643,708,531,779,861,696,468,334,363,593,666,927,395,196,604,412,
091,316,270,243,439,496,687,963,097,451,388,305,467,551,431,854,567,227,791,
904,039,855,492,175,519,613,879,428,318,052,437,061,046,206,941,048,268,253,
371,400,986,984,184,617,014,052,939,619,568,425,308,188,908,609,528,841,164,
569,008,740,155,790,133,408,979,386,012,556,173,373,074,279,332,006,471,245,
445,847,573,368,391,098,687,647,468,325,853,170,091,272,466,193,224,006,172,
797,440,066,394,375,525,061,480,222,812,628,974,854,042,164,445,596,120,780,
836,207,365,588,182,494,072,602,381,453,012,874,997,961,381,142,793,949,374,
792,970,514,924,657,339,597,041,755,674,555,884,591,353,681,883,063,801,471,
878,583,868,252,057,103,721,008,894,491,510,361,775,152,785,079,744,537,860,
125,636,458,753,528,298,391,817,709,174,726,088,140,207,422,106,300,185,684,
119,875,524,110,923,019,995,021,711,341,431,583,102,201,540,115,625,035,536,
361,450,362,118,305,602,617,576,399,127,732,402,730,045,513,932,206,572,348,
780,844,464,496,471,431,403,851,348,606,612,037,707,040,363,078,039,167,880,
162,895,110,438,656,694,684,461,796,468,227,997,159,582,974,532,749,046,687,
683,483,277,823,659,824,244,033,093,194,431,104,852,071,729,856,615,962,696,
003,580,577,681,193,948,630,048,035,858,123,666,407,221,004,959,866,769,772,
886,937,811,794,740,602,662,923,932,965,624,362,499,476,710,539,619,415,181,
693,001,827,695,622,008,600,335,177,810,767,656,293,999,844,128,012,271,431,
573,201,318,161,091,898,929,184,627,674,459,365,414,582,422,281,818,331,011,
995,159,419,494,634,730,209,808,703,680,913,147,578,080,874,526,333,837,121,
272,764,948,350,008,779,557,489,194,732,224,984,377,426,679,214,670,102,214,
565,337,745,827,948,054,564,966,430,687,565,565,130,979,568,772,455,354,904,
729,506,890,069,302,544,927,490,849,897,440,919,888,655,234,578,443,345,240,
282,066,414,092,719,827,814,681,968,678,400,291,921,227,312,248,708,930,978,
652,137,373,399,150,223,147,911,492,281,290,735,799,702,465,311,365,732,393,
158,822,696,619,670,194,644,026,372,423,098,820,144,491,702,978,053,937,320,
221,381,479,491,352,518,715,878,224,684,685,542,120,854,191,569,061,121,861,
585,093,000,418,831,412,945,682,566,731,902,958,770,653,671,778,371,401,093,
870,751,008,009,808,348,212,130,898,330,336,575,334,203,411,686,051,877,254,
245,812,638,627,677,548,315,419,877,756,693,129,107,640,158,146,630,822,559,
017,313,183,324,922,717,893,460,213,955,212,178,896,509,749,954,856,693,583,
117,473,007,190,083,647,428,014,142,505,979,603,256,334,609,009,596,590,481,
581,712,136,831,747,869,223,986,642,477,810,268,222,565,335,055,897,782,056,
577,495,827,338,475,522,337,734,266,283,280,813,818,435,727,027,676,103,176,
642,416,452,543,449,512,237,749,364,303,115,724,047,621,587,819,951,630,037,
624,721,387,812,080,369,056,957,953,306,782,478,331,259,362,919,049,916,938,
231,683,863,381,473,884,244,630,574,198,321,041,715,803,655,197,518,105,846,
951,686,559,158,745,003,285,011,980,123,860,751,140,756,952,826,209,843,527,
746,813,153,253,595,074,440,363,702,581,538,338,003,402,819,098,773,574,473,
098,820,362,294,152,652,214,452,373,553,513,408,412,616,433,315,608,272,749,
061,663,659,171,073,915,493,093,572,589,678,562,039,226,209,519,531,835,313,
342,965,846,805,224,282,302,167,706,471,819,824,549,754,249,001,331,579,580,
033,969,725,642,289,489,663,793,840,305,395,529,263,610,153,498,329,317,311,
170,346,389,044,191,803,832,880,625,202,176,436,462,616,813,270,490,378,320,
400,061,249,091,345,125,278,721,369,493,483,062,177,095,731,888,687,383,025,
039,724,502,614,343,780,984,186,490,165,920,911,036,770,191,554,038,553,071,
103,866,404,048,067,668,293,704,291,678,270,016,476,281,138,151,153,864,997,
152,986,095,896,724,814,159,692,023,674,564,820,660,870,588,381,831,666,737,
084,090,852,210,827,619,945,164,779,838,451,296,431,574,302,268,197,091,741,
286,167,352,367,364,546,394,445,626,198,012,031,463,268,860,676,629,500,800,
408,020,241,086,546,827,144,322,973,852,648,088,571,388,775,866,044,519,413,
087,443,132,692,042,268,836,888,478,221,733,487,786,580,573,575,266,564,831,
443,014,874,317,291,908,263,290,922,638,907,453,623,697,344,123,227,362,477,
573,912,951,040,422,182,058,439,329,241,065,864,356,824,816,445,767,400,570,
979,048,881,474,679,286,530,874,501,241,312,290,075,809,615,480,574,360,440,
787,387,248,753,162,167,826,980,029,011,988,674,584,919,555,513,985,013,950,
422,508,688,040,876,656,171,707,461,937,883,172,168,254,236,680,763,709,780,
323,292,402,662,338,066,260,779,631,569,405,551,103,049,359,106,719,291,920,
777,813,251,859,855,365,388,988,758,748,448,813,951,372,007,880,436,721,926,
454,068,459,399,667,333,080,814,808,085,169,844,437,806,647,152,148,616,552,
104,120,351,257,321,727,460,273,336,838,624,909,704,293,489,007,942,318,212,
043,549,207,831,128,709,623,868,069,072,341,742,937,593,294,706,703,925,355,
299,950,599,779,817,336,515,909,739,485,958,947,610,089,687,796,993,320,468,
903,544,551,697,861,538,747,569,845,355,157,910,300,128,138,113,916,206,697,
488,689,651,686,070,511,394,429,335,983,847,462,178,305,314,313,299,593,007,
965,125,414,743,817,321,075,358,864,023,305,190,671,391,641,933,844,849,367,
894,185,823,849,681,105,379,043,150,460,052,764,753,331,731,289,891,925,676,
639,616,693,349,870,626,977,255,445,089,342,475,048,425,607,416,478,926,990,
238,123,334,358,860,982,685,648,467,881,433,778,002,556,359,807,060,795,027,
829,317,277,583,740,522,984,755,567,460,006,001,808,742,063,307,457,417,169,
452,616,215,311,313,871,894,140,717,753,092,848,783,466,036,838,759,456,556,
364,180,969,146,653,367,559,814,911,339,716,596,737,474,128,067,335,358,998,
768,230,807,167,102,632,291,953,551,906,733,591,333,565,371,734,757,453,991,
599,756,539,467,427,370,148,482,870,952,184,721,862,490,711,908,847,329,693,
124,767,065,603,121,028,035,634,815,568,025,933,193,596,948,328,565,371,415,
497,500,901,357,292,259,100,326,607,690,639,269,873,464,323,960,045,998,144,
564,328,552,070,506,504,387,259,940,178,797,448,943,325,775,601,493,480,579,
930,165,496,664,951,567,418,789,895,031,292,419,020,803,692,145,793,286,647,
724,007,083,368,046,705,885,084,027,970,167,729,082,920,498,381,219,681,534,
963,303,423,913,269,680,537,614,959,846,971,751,029,619,556,002,509,802,769,
722,807,537,131,938,921,903,862,070,263,636,844,697,825,194,134,474,546,232,
819,830,402,894,055,347,834,959,390,628,376,086,984,479,265,674,298,946,556,
317,682,990,926,367,958,182,650,253,519,196,018,719,360,259,760,900,808,963,
261,178,752,498,601,516,617,495,034,577,934,065,633,730,697,471,452,882,172,
579,210,982,209,470,503,038,979,830,919,671,681,380,943,657,100,213,934,984,
471,698,068,990,853,716,044,108,509,640,365,052,470,599,525,419,346,388,893,
271,833,366,738,457,029,987,212,486,577,850,017,638,904,983,508,660,230,348,
774,560,527,623,033,075,186,056,982,528,841,709,015,644,616,058,202,935,256,
365,879,422,773,358,132,066,595,567,769,352,310,059,333,022,343,758,808,763,
894,164,130,396,815,382,664,593,225,923,015,120,968,118,552,882,135,754,985,
801,453,001,630,157,701,908,669,472,603,854,665,206,619,238,511,064,430,965,
849,100,343,132,221,239,526,346,948,862,326,850,497,597,307,246,516,969,718,
820,683,526,762,142,891,968,899,550,379,220,923,945,256,858,331,241,078,217,
995,080,885,684,941,561,516,078,506,375,510,300,515,168,295,455,104,664,968,
495,241,242,495,030,012,047,236,616,190,341,008,232,893,299,600,455,097,705,
527,869,982,115,523,764,282,534,373,331,308,235,240,065,251,144,404,664,129,
284,625,989,670,523,462,165,791,974,721,634,035,752,080,687,177,980,381,220,
342,788,266,885,282,803,454,397,005,478,066,610,736,473,209,957,774,304,585,
144,034,628,276,843,433,322,079,851,709,576,770,861,047,927,114,544,316,129,
691,059,390,692,753,024,713,168,733,492,183,225,010,170,742,883,572,910,253,
156,976,741,733,012,171,352,358,696,233,487,218,943,253,106,222,372,579,261,
107,069,383,919,637,932,454,230,035,349,297,449,095,530,073,927,662,817,381,
608,002,166,850,113,780,288,078,132,700,500,062,180,452,632,876,296,738,617,
607,439,514,923,125,730,420,636,405,628,426,059,818,749,048,989,017,091,172,
026,750,624,492,794,242,180,819,496,396,366,805,713,173,374,810,519,983,625,
923,867,471,491,018,905,571,164,795,653,225,485,661,704,171,037,739,799,436,
527,791,953,405,612,589,654,996,082,026,928,351,351,350,617,586,484,102,632,
934,361,720,604,400,372,034,870,099,083,865,710,615,310,754,708,139,866,179,
729,936,917,649,771,946,345,566,585,808,904,191,814,523,452,408,063,254,692,
053,344,357,985,331,321,719,839,983,966,581,360,907,540,296,176,903,514,532,
814,058,188,560,514,595,298,462,160,004,410,519,835,682,430,791,343,365,831,
147,173,440,953,752,735,564,471,090,436,402,158,547,307,964,751,003,333,608,
951,127,404,359,167,112,197,165,320,106,186,922,683,434,390,857,429,990,448,
189,792,191,580,289,879,534,906,295,865,140,928,314,404,267,934,786,262,609,
801,776,509,514,014,251,178,509,419,627,278,675,520,477,457,612,942,385,164,
339,358,124,957,362,804,510,375,757,380,260,091,333,741,637,337,093,050,858,
186,937,721,389,355,579,411,162,423,051,506,989,344,184,588,836,916,052,867,
650,169,887,832,727,032,632,558,184,646,079,107,377,216,462,359,583,992,492,
570,675,068,728,247,552,450,733,325,556,509,910,408,419,385,701,092,139,334,
521,949,812,027,618,861,735,328,907,151,986,374,562,243,649,462,564,132,952,
204,911,128,698,147,812,777,771,230,045,033,654,495,417,497,889,444,326,629,
177,176,759,125,956,908,734,213,097,877,028,195,125,279,003,148,847,073,234,
750,604,971,304,416,877,506,867,988,684,657,596,450,274,679,673,724,014,010,
133,356,826,873,230,577,673,231,433,179,254,902,330,175,484,513,301,742,457,
035,243,453,495,726,797,373,182,893,220,789,870,246,891,717,484,731,053,323,
567,916,223,305,826,698,651,587,337,490,229,275,492,633,657,583,224,716,941,
380,896,303,940,255,018,790,666,890,643,535,038,994,194,198,530,947,295,409,
776,825,484,728,541,678,537,382,227,719,316,498,149,207,101,377,419,725,103,
540,182,331,544,824,674,327,358,134,345,553,637,413,027,802,268,797,268,310,
914,778,901,434,185,798,790,152,680,564,298,242,436,623,095,941,787,189,896,
822,381,811,239,064,853,117,746,830,285,785,307,289,459,442,980,754,931,251,
415,341,782,330,438,850,520,473,785,137,522,644,511,627,808,150,502,579,556,
204,945,778,131,429,650,065,988,083,148,546,162,692,136,444,096,047,350,750,
770,837,210,757,325,857,553,640,100,676,456,575,193,985,256,429,151,074,985,
715,649,216,352,400,557,662,343,285,892,531,741,700,151,012,815,386,932,464,
776,436,149,114,090,652,106,710,703,582,532,193,804,848,955,018,911,244,002,
158,579,618,227,717,218,393,061,622,553,398,298,855,099,356,057,713,280,635,
193,561,766,833,902,365,825,908,374,770,988,598,955,082,166,694,647,375,028,
868,736,575,406,958,230,261,540,099,045,960,356,275,628,923,338,977,425,615,
050,256,651,056,021,647,840,490,418,499,645,419,628,549,946,933,687,579,583,
209,105,767,273,248,396,024,462,551,311,114,803,834,752,029,854,344,129,483,
779,953,332,697,387,309,576,555,524,906,349,389,160,277,696,399,816,396,879,
228,588,688,433,399,444,590,030,607,857,198,455,290,006,302,380,235,725,646,
193,653,450,753,761,713,515,186,704,867,956,163,988,099,624,635,790,480,793,
489,390,854,828,175,864,844,112,657,063,272,233,687,075,600,797,801,959,545,
781,104,161,295,426,427,063,792,134,843,216,056,152,797,481,959,567,632,071,
034,931,709,148,020,031,051,348,125,582,540,868,085,677,389,589,998,414,807,
053,477,829,024,616,614,515,997,834,991,821,692,968,148,756,391,353,763,795,
692,541,414,913,978,492,014,458,718,634,793,373,527,831,652,214,898,559,445,
517,911,632,197,502,193,882,723,083,017,454,816,255,557,133,935,228,535,515,
508,379,315,009,450,184,573,170,653,657,100,630,357,725,247,151,089,789,323,
771,748,884,668,285,194,396,338,643,749,757,949,710,331,849,606,597,326,334,
428,760,968,190,522,301,060,558,995,634,436,615,167,989,858,060,719,132,355,
754,471,423,793,422,591,489,548,310,877,501,179,901,605,821,140,528,431,308,
510,488,080,771,375,418,717,032,740,019,595,044,147,052,568,849,494,875,638,
584,360,423,712,166,577,106,581,885,416,793,369,653,759,170,624,652,381,249,
844,766,183,590,455,547,716,240,307,277,389,500,781,317,580,449,317,203,632,
041,065,595,738,412,683,533,029,065,244,306,529,330,396,108,262,517,163,154,
041,385,094,803,891,920,417,523,856,400,627,442,032,364,265,968,802,286,772,
586,181,913,079,095,452,262,856,170,264,697,780,306,545,405,551,082,106,289,
937,785,587,036,009,547,479,664,952,736,136,568,012,353,034,688,032,456,701,
780,030,170,621,473,170,025,435,192,581,749,945,371,010,926,388,334,558,920,
697,665,838,816,160,021,965,941,331,153,286,091,360,906,123,011,586,744,283,
730,634,184,824,718,771,791,018,324,992,571,595,848,062,686,885,989,288,760,
644,910,127,847,929,799,822,903,289,820,634,116,973,796,084,652,446,375,515,
995,690,673,653,351,162,009,521,660,500,785,633,936,466,662,149,699,813,148,
183,716,701,603,818,513,741,048,334,803,660,946,268,800,106,449,237,101,533,
482,916,829,508,532,281,853,503,062,630,268,075,200,397,932,464,888,542,182,
913,297,364,743,041,015,529,793,644,821,814,389,876,213,995,287,445,046,890,
339,831,643,798,372,672,135,409,541,306,782,190,527,742,313,026,853,646,313,
844,684,397,172,700,292,395,913,294,911,463,975,921,635,124,043,961,383,922,
693,213,199,403,820,350,534,302,628,325,922,233,490,182,444,824,496,762,705,
692,486,299,645,862,432,840,206,053,812,593,149,608,528,696,884,801,917,405,
019,495,698,195,138,503,844,211,291,425,835,141,001,087,912,087,508,893,184,
937,492,691,795,603,519,950,211,758,381,607,457,815,013,163,829,246,294,347,
826,128,490,425,645,277,206,773,655,142,814,078,218,393,632,461,170,112,608,
458,147,701,868,967,092,628,617,578,313,665,115,100,929,598,173,900,316,378,
022,165,909,509,735,366,252,752,741,202,033,002,894,268,968,686,649,985,157,
239,948,478,820,193,682,007,322,523,658,724,130,254,350,432,608,071,827,446,
592,193,709,310,859,062,904,953,278,525,351,200,853,151,248,642,641,005,151,
221,496,547,108,187,501,352,875,098,822,090,331,324,628,910,804,644,029,779,
769,980,896,487,763,655,790,575,273,209,285,751,164,310,281,004,481,606,347,
055,186,347,673,992,771,220,159,248,409,404,650,798,737,053,839,916,215,216,
283,029,420,058,164,267,857,582,012,600,388,981,642,572,179,817,825,417,898,
816,948,326,585,839,113,597,208,007,081,891,770,775,285,345,266,077,349,650,
599,941,276,888,672,917,626,607,965,674,537,061,287,158,208,151,451,370,539,
001,032,115,315,764,022,598,502,804,109,736,300,297,947,187,281,474,076,770,
512,012,341,776,509,517,360,114,739,994,328,279,536,941,282,183,047,785,564,
988,460,725,543,484,955,285,348,967,409,768,436,789,482,615,284,527,225,385,
078,015,524,164,822,720,259,742,112,889,852,002,646,461,353,540,354,792,141,
685,631,532,840,724,808,273,282,759,834,027,662,320,186,418,587,809,256,050,
332,666,512,869,785,867,843,938,369,885,091,987,710,939,953,395,740,321,670,
470,190,973,331,335,337,987,448,571,505,659,829,671,636,610,533,760,982,569,
198,395,580,639,032,656,437,122,413,688,218,088,755,491,502,120,846,421,132,
495,157,557,406,026,801,247,606,146,548,683,230,885,518,242,340,592,197,933,
442,165,019,088,430,585,824,604,304,150,760,054,589,963,399,163,615,257,860,
426,822,218,409,974,867,661,351,182,326,248,174,764,129,614,275,908,490,985,
345,316,592,207,298,870,563,194,397,959,069,372,078,258,914,521,747,630,126,
124,622,002,758,763,989,789,353,083,873,882,408,206,415,511,761,479,041,312,
552,587,875,044,692,395,522,154,117,899,071,963,427,771,764,332,509,770,079,
440,473,801,109,560,115,374,749,038,920,931,077,760,146,354,484,020,092,054,
063,977,730,476,686,683,456,166,084,118,169,979,655,060,976,130,975,442,562,
789,896,623,791,122,626,601,860,558,423,677,016,219,690,652,714,958,373,454,
812,127,190,272,802,908,446,253,045,946,690,414,148,552,516,241,977,161,598,
627,233,516,235,640,083,056,900,215,325,065,523,350,316,378,925,066,246,914,
933,807,482,470,802,482,733,304,794,135,984,193,147,121,961,587,245,130,866,
838,436,792,587,014,617,043,384,144,449,360,380,845,169,483,544,710,254,746,
895,464,439,955,301,625,067,211,489,340,979,022,216,327,031,407,136,144,817,
730,617,023,468,813,629,933,241,363,544,990,021,177,599,233,591,474,530,097,
426,016,580,214,480,889,472,029,554,237,723,539,451,872,984,801,261,690,301,
093,913,429,355,118,349,155,757,661,809,495,690,607,243,628,472,491,326,793,
893,581,340,175,315,398,863,875,222,940,915,719,261,421,779,559,193,120,851,
465,945,891,695,360,567,806,478,320,314,878,897,376,907,604,135,440,212,008,
175,098,346,203,137,312,824,236,898,289,935,326,252,119,961,554,748,787,859,
230,849,722,077,236,617,302,959,684,060,893,644,507,146,871,873,102,510,568,
120,237,642,219,585,536,025,154,290,315,230,492,642,361,421,035,410,943,124,
763,493,740,933,502,610,422,358,346,307,171,472,215,685,400,785,892,269,592,
074,244,834,559,525,494,840,227,544,740,245,504,121,741,178,794,009,818,610,
899,227,517,334,381,582,770,188,914,196,084,526,054,139,781,197,743,852,070,
523,767,824,991,147,052,728,180,723,633,319,171,133,088,043,382,957,626,616,
574,178,766,010,677,200,629,638,012,772,216,439,242,654,941,775,508,799,696,
618,722,196,007,053,861,374,700,210,906,500,404,640,927,956,030,989,418,695,
665,394,075,412,779,284,612,688,514,981,271,273,692,425,571,945,391,707,771,
482,009,040,916,194,905,843,475,033,865,821,547,731,910,141,441,086,417,485,
481,150,890,225,081,614,904,452,693,826,575,363,644,801,127,831,710,161,217,
268,916,646,791,638,938,210,736,806,237,110,183,962,624,900,070,305,224,953,
484,167,877,824,763,297,836,092,896,947,170,825,589,975,273,908,670,809,313,
361,655,698,457,183,653,320,116,573,757,499,307,479,263,862,029,941,547,767,
130,595,047,123,817,788,213,350,141,425,470,707,305,710,887,599,625,957,037,
431,329,055,297,617,662,924,873,170,353,475,764,407,533,821,994,229,989,982,
430,757,368,714,592,787,972,202,121,356,393,352,496,675,718,007,451,103,426,
034,582,251,253,439,825,061,821,905,888,396,619,556,508,299,977,729,257,324,
356,236,707,587,058,556,904,602,673,743,966,896,329,948,296,761,699,520,475,
204,567,840,671,446,730,380,522,542,107,283,973,324,891,536,814,869,691,897,
278,161,070,461,424,392,875,353,955,320,684,955,670,471,053,443,068,716,560,
640,658,568,492,957,193,863,086,211,095,759,976,041,558,516,891,404,612,084,
565,829,182,213,244,387,964,116,097,486,934,586,861,391,498,617,989,043,605,
587,921,696,077,215,287,024,401,346,387,983,743,003,712,063,801,477,703,395,
239,133,910,885,002,691,669,578,633,493,599,289,878,437,878,430,253,758,002,
264,632,602,656,027,731,983,998,266,171,437,006,060,393,661,526,140,484,284,
932,757,692,284,458,825,603,863,731,678,606,697,167,197,989,436,039,973,300,
677,324,302,539,830,949,533,228,575,625,437,942,046,553,907,566,905,167,062,
149,803,583,659,576,394,120,879,828,211,423,021,637,102,214,937,642,464,616,
130,416,687,472,908,790,653,688,875,909,519,810,245,795,575,010,305,636,532,
174,404,970,511,243,944,665,911,091,379,611,653,853,740,161,288,396,605,954,
183,903,754,059,837,314,801,935,294,969,497,993,241,155,149,720,268,367,840,
466,811,278,087,279,637,917,444,275,192,985,382,475,147,736,279,060,904,348,
555,341,159,307,894,473,326,460,858,933,367,738,083,558,249,752,772,366,683,
823,343,366,488,478,038,440,748,382,211,822,868,734,936,936,930,869,240,664,
290,367,299,092,914,556,610,413,286,010,519,561,285,892,687,255,812,551,395,
373,024,461,260,096,880,437,671,787,320,178,590,979,705,510,717,377,948,778,
473,078,308,368,511,791,228,982,241,158,368,366,582,212,311,309,450,060,233,
520,964,983,845,035,183,964,664,780,380,080,668,783,267,627,225,738,125,340,
439,941,552,706,068,809,862,255,741,153,670,199,147,942,737,215,938,406,858,
251,543,964,682,730,399,585,270,765,791,273,123,911,414,874,158,457,604,464,
679,228,884,257,270,251,839,180,434,598,859,237,927,602,966,601,021,140,510,
335,091,374,027,556,143,066,591,859,134,934,148,843,222,635,524,504,264,112,
587,384,197,935,215,000,817,188,795,387,318,594,206,330,650,800,249,922,744,
514,197,235,372,873,616,121,605,905,329,270,369,073,454,232,572,788,223,443,
921,751,331,263,926,332,094,247,784,288,471,342,131,069,691,298,507,131,274,
603,236,199,908,966,978,623,701,926,887,726,466,011,581,627,461,571,665,193,
395,740,804,276,064,436,863,930,454,193,445,095,204,241,066,577,575,693,209,
681,566,396,530,801,868,752,651,415,681,303,880,494,401,717,925,263,292,165,
184,301,343,293,982,153,189,039,376,314,803,128,148,988,640,812,545,404,375,
989,316,245,713,255,897,270,868,767,672,154,662,644,054,221,805,275,480,218,
507,134,587,549,167,793,878,602,154,095,364,748,449,596,432,170,326,984,991,
215,336,265,607,283,999,234,292,761,140,887,963,770,600,391,265,062,862,057,
731,968,554,832,056,368,954,635,708,469,173,959,113,524,997,294,345,114,458,
266,545,412,540,281,585,926,777,357,842,229,864,412,766,698,457,580,055,326,
124,488,961,712,238,278,340,051,558,902,019,074,257,516,396,539,910,295,870,
115,326,534,456,353,138,804,167,303,021,593,248,315,845,506,620,476,089,472,
240,165,254,908,944,734,100,896,371,716,852,948,596,458,318,308,373,586,499,
514,665,861,270,345,607,219,693,229,957,973,205,472,294,334,285,001,348,919,
798,587,952,118,989,595,720,569,943,806,110,597,610,047,147,634,625,922,613,
932,225,545,485,441,779,213,313,973,276,137,180,098,597,929,670,411,423,935,
119,889,853,302,301,004,392,406,880,911,638,756,509,934,520,328,238,431,310,
014,737,875,805,794,303,169,043,321,877,116,228,720,564,195,516,246,652,194,
030,131,317,208,891,767,684,779,367,027,059,682,309,017,914,490,111,912,064,
289,326,987,179,933,685,239,788,519,085,621,336,751,097,353,316,373,693,692,
843,196,312,377,303,088,790,755,457,588,859,685,218,897,518,784,497,624,348,
107,575,161,381,920,772,360,741,254,360,239,867,033,216,372,871,518,864,066,
048,536,799,307,911,567,465,304,665,619,645,087,114,375,045,706,046,699,465,
999,316,073,666,103,588,021,717,088,388,905,547,219,951,952,311,132,369,347,
197,294,404,169,504,221,341,159,631,030,064,692,799,634,958,649,504,127,517,
346,449,394,616,930,453,350,894,843,329,954,857,908,538,094,983,191,815,128,
177,765,297,725,541,747,660,631,329,335,419,839,436,396,405,026,186,824,969,
695,612,180,801,119,743,782,150,566,862,854,795,404,495,405,511,790,201,382,
165,550,651,588,146,938,674,162,045,450,845,842,457,032,352,806,349,392,157,
736,777,025,753,451,430,796,757,868,007,150,408,743,402,753,340,687,328,630,
161,254,027,319,082,559,725,083,789,564,256,933,106,984,462,429,210,948,529,
521,714,187,644,886,526,321,525,856,956,108,281,810,934,513,218,399,526,253,
164,800,190,073,353,869,769,681,579,361,995,917,774,960,018,625,356,958,471,
513,629,639,918,933,834,195,589,829,670,899,998,952,052,528,378,377,465,968,
319,893,391,560,033,700,039,198,028,366,600,003,806,545,896,755,715,532,790,
879,478,273,568,251,271,131,468,897,599,274,307,300,696,465,346,945,057,138,
491,281,631,837,409,989,667,867,207,220,558,057,000,415,712,146,573,051,083,
781,076,873,791,902,592,649,676,520,886,772,393,433,911,262,692,137,718,237,
440,997,825,905,165,613,131,370,925,152,444,107,000,346,911,123,128,171,574,
230,363,592,075,198,727,764,104,351,561,185,490,548,982,303,736,350,967,585,
489,899,038,141,188,176,642,009,685,518,329,363,940,708,420,042,432,767,166,
571,385,350,713,537,203,793,719,985,265,319,882,853,956,570,475,952,512,239,
380,583,374,864,115,085,562,830,399,920,936,773,849,700,232,349,295,455,031,
860,500,934,705,410,849,608,221,354,791,261,686,281,486,492,483,661,297,250,
652,709,796,772,732,959,617,404,720,997,547,282,891,863,443,066,255,273,051,
703,566,714,590,296,913,012,951,051,472,305,510,781,199,072,031,791,211,023,
210,770,374,443,294,351,391,578,502,918,367,224,317,564,443,920,747,511,164,
200,681,886,392,055,720,775,230,834,429,607,180,383,432,344,135,096,202,886,
124,575,576,357,477,505,948,670,083,481,723,055,590,635,560,956,769,484,180,
662,520,104,493,990,393,290,117,464,512,276,011,423,959,242,679,230,625,116,
771,794,942,215,279,199,679,949,632,339,813,924,024,824,976,240,703,837,194,
417,955,772,657,630,263,895,876,112,707,039,895,862,074,924,871,101,654,135,
374,824,159,419,311,940,574,321,297,263,352,511,366,469,646,156,589,125,281,
817,194,187,565,135,471,000,916,800,082,567,544,808,003,768,180,924,310,004,
994,150,513,538,684,396,354,518,539,866,824,633,718,731,433,074,479,378,281,
688,864,325,260,962,291,968,112,310,838,114,041,364,858,734,603,667,801,253,
911,983,398,251,567,025,537,288,849,664,999,282,458,048,015,913,272,715,255,
652,070,998,053,060,932,750,061,659,936,934,860,821,437,618,622,551,737,629,
717,637,130,957,865,696,108,878,598,751,415,398,158,159,700,599,444,603,602,
920,184,684,644,787,967,883,157,383,041,396,971,858,261,504,988,653,231,046,
452,339,650,166,669,111,099,956,783,946,562,645,256,238,451,262,219,598,151,
157,673,134,524,384,499,547,510,490,251,803,829,574,376,093,186,770,846,583,
518,545,334,355,933,952,931,344,608,781,914,437,181,685,705,404,170,845,881,
166,911,271,309,618,418,912,500,486,250,206,285,559,302,040,583,865,609,642,
476,442,171,717,584,578,759,698,549,853,827,400,611,443,383,616,705,052,774,
897,748,696,209,088,988,935,523,873,409,743,262,115,857,280,196,293,450,643,
788,691,653,762,545,141,223,639,800,153,730,225,736,975,640,246,634,629,360,
847,481,892,191,446,847,386,310,906,773,017,199,471,282,428,272,914,887,884,
439,951,826,777,076,517,908,652,372,399,093,214,379,008,179,726,293,122,172,
529,533,886,830,539,897,373,458,391,468,764,590,233,077,315,774,891,160,320,
323,422,636,345,608,566,427,249,530,357,087,485,337,264,395,351,636,166,430,
788,353,520,402,104,942,571,030,068,628,444,112,297,932,133,815,684,354,019,
078,489,488,286,943,198,629,355,922,817,068,138,499,242,522,146,629,938,607,
167,250,961,770,781,556,794,409,609,013,900,810,859,611,267,333,760,625,556,
760,867,869,116,396,298,001,888,454,642,448,232,616,544,453,775,186,605,203,
744,818,141,424,469,562,718,885,182,513,250,792,558,763,565,814,289,818,667,
304,243,814,865,366,833,151,364,207,070,618,432,974,395,646,304,258,983,457,
582,564,990,914,578,219,981,804,991,650,632,898,753,972,522,118,760,563,684,
452,165,053,962,067,551,829,282,938,328,703,337,605,615,380,751,747,568,627,
838,436,388,748,454,166,789,729,601,129,949,219,939,236,962,713,060,264,917,
263,027,806,596,599,775,821,084,584,580,084,889,323,006,933,411,293,417,669,
827,029,645,091,884,915,770,583,748,957,484,444,815,877,072,207,006,361,681,
248,521,551,083,986,584,611,771,952,569,929,418,545,458,900,557,187,329,314,
572,857,443,913,171,238,827,727,799,646,989,241,730,425,379,244,461,483,308,
845,446,359,174,251,824,777,576,521,593,340,650,228,518,375,175,627,073,855,
242,992,547,364,961,800,168,589,409,781,840,882,152,640,895,017,197,307,889,
532,220,938,728,810,774,468,237,336,358,659,463,288,657,528,439,823,895,757,
138,222,497,368,282,710,977,781,733,772,565,708,074,426,388,981,539,845,098,
925,794,787,487,114,005,972,847,829,799,920,492,090,210,893,414,329,390,305,
824,201,638,567,972,773,742,076,549,573,208,902,380,452,396,747,585,974,667,
397,438,278,253,513,751,165,075,539,055,626,508,872,669,683,033,007,087,500,
788,114,899,987,706,272,440,999,107,938,262,127,135,579,524,145,213,092,417,
042,397,347,840,979,089,700,630,598,877,579,566,246,065,644,335,138,874,285,
359,909,525,413,760,611,827,955,922,897,810,863,347,542,806,102,991,840,001,
168,886,730,812,992,429,624,436,781,182,935,892,852,261,386,965,745,015,075,
402,066,543,731,627,055,059,751,696,708,639,571,030,959,861,117,459,468,190,
955,242,939,086,336,212,718,050,732,643,600,921,246,134,886,590,922,611,826,
465,998,112,497,093,346,665,373,152,411,119,673,008,046,167,226,662,915,523,
816,431,203,139,896,000,302,946,296,727,067,160,705,015,620,808,322,440,021,
516,601,490,228,374,800,187,282,785,311,788,416,085,046,656,556,545,819,374,
260,314,948,242,447,403,250,995,363,995,229,821,773,714,413,116,200,683,240,
269,472,293,205,982,421,786,295,609,540,288,348,810,998,701,292,922,689,656,
802,964,748,996,004,388,756,906,180,602,954,789,227,823,899,263,855,900,585,
598,998,826,631,077,348,782,952,821,371,278,647,784,687,343,055,635,898,333,
368,508,822,973,419,813,204,539,290,312,158,134,267,543,170,901,898,155,911,
805,999,855,289,465,717,043,979,281,059,842,027,809,862,938,287,827,203,409,
027,766,155,344,671,043,291,747,857,768,000,083,268,095,186,556,804,177,103,
436,298,156,803,818,045,697,092,833,090,452,341,907,452,020,635,675,197,575,
986,305,423,011,299,167,529,917,700,886,288,682,774,536,222,560,518,438,927,
132,018,281,511,683,189,136,476,449,477,576,755,469,485,264,637,065,437,200,
340,121,440,491,788,225,396,554,740,854,676,766,537,954,620,835,902,588,219,
449,158,730,836,830,832,245,248,275,039,930,328,866,540,400,459,829,480,933,
557,408,797,652,513,893,865,894,768,876,560,612,126,052,461,718,675,809,446,
039,219,233,599,071,806,750,038,332,040,747,519,344,803,423,725,426,393,350,
716,091,118,805,296,290,645,092,913,366,711,609,761,171,659,909,614,230,887,
642,476,012,532,659,888,663,681,973,802,697,763,249,810,426,369,975,782,996,
053,997,916,231,957,843,046,189,300,324,316,540,932,016,194,725,706,444,901,
929,063,900,661,946,184,646,714,606,132,255,465,381,482,879,132,711,020,056,
111,252,943,624,063,363,866,385,066,098,433,165,597,254,859,589,673,367,763,
164,035,387,489,850,020,261,808,411,645,599,489,017,710,420,288,657,114,444,
156,813,582,787,876,246,722,638,959,948,714,928,667,239,110,067,338,091,948,
456,667,135,084,217,413,153,592,714,800,651,570,812,131,884,714,404,697,216,
699,740,596,628,566,919,768,586,432,935,498,943,378,279,186,783,214,653,960,
144,870,131,503,982,267,902,029,652,790,024,046,039,700,673,322,315,865,177,
835,086,338,850,346,825,180,410,429,579,518,582,987,938,348,385,963,725,682,
283,586,393,784,693,177,687,206,577,994,667,501,795,997,152,307,494,541,827,
696,223,297,450,580,392,195,800,279,113,792,517,894,872,276,237,336,190,592,
841,686,520,756,113,621,800,272,702,695,053,604,354,910,998,629,625,977,841,
168,990,307,416,754,224,987,221,741,191,209,518,539,111,432,511,055,193,675,
650,572,670,569,261,014,103,177,539,394,105,984,727,937,100,514,581,068,634,
692,344,217,465,551,222,559,216,911,244,688,227,798,952,830,708,817,856,799,
537,843,730,871,264,878,702,869,721,557,100,790,307,179,035,956,921,245,300,
288,202,713,542,623,494,500,255,299,206,062,156,001,268,685,645,325,698,734,
530,445,975,617,076,147,769,182,975,610,227,720,871,200,169,683,300,682,992,
803,417,045,263,078,059,620,149,330,493,402,668,151,942,419,255,974,450,977,
804,134,825,956,581,382,310,384,646,270,484,629,268,518,139,718,358,852,569,
453,666,642,894,600,149,822,093,664,709,215,116,858,058,206,089,068,677,528,
009,919,684,137,634,097,014,659,975,408,218,075,877,724,778,967,854,878,763,
156,641,692,501,181,811,656,051,776,721,583,413,117,954,093,519,242,028,416,
690,306,736,829,716,521,563,759,882,389,429,184,281,607,320,135,084,937,875,
205,513,891,340,842,849,625,345,070,655,199,329,960,075,130,686,547,448,654,
336,939,212,809,815,289,947,799,912,995,969,883,414,973,409,010,184,567,202,
253,508,608,246,097,833,753,951,582,822,510,456,827,949,486,882,031,885,850,
009,122,943,065,315,257,796,369,132,842,240,683,796,692,933,371,726,069,530,
118,654,738,894,327,052,291,726,459,302,707,965,700,236,146,505,158,562,698,
250,704,298,788,128,204,539,804,426,952,073,617,349,914,492,331,131,035,212,
321,629,463,685,081,596,801,370,383,374,258,429,581,817,442,863,641,813,948,
149,324,642,099,365,994,632,095,324,387,018,401,549,926,983,808,498,486,831,
727,292,492,534,850,484,327,123,709,766,000,356,678,518,449,313,621,223,580,
760,041,844,815,357,284,812,640,738,318,588,628,114,252,485,886,663,830,219,
092,710,788,827,666,348,686,186,703,599,781,563,282,772,962,379,064,566,038,
476,472,664,374,624,044,372,425,138,240,743,436,123,175,567,301,110,796,397,
167,247,140,798,788,169,306,248,726,486,206,616,374,312,499,480,021,677,540,
464,699,018,006,425,585,214,533,724,522,156,494,467,040,254,648,060,864,729,
811,928,074,325,762,983,711,293,888,348,106,630,564,352,786,573,921,727,206,
039,203,258,181,659,705,686,270,598,867,528,680,620,252,749,365,503,657,672,
909,080,870,881,542,734,062,885,506,543,236,697,140,577,804,871,790,630,189,
184,774,762,976,933,378,150,214,200,719,505,830,296,609,922,947,365,127,137,
480,093,951,931,002,228,299,023,430,681,014,926,022,689,914,888,541,795,682,
752,392,519,985,566,736,515,895,353,735,559,858,273,544,932,943,222,094,293,
465,778,005,190,799,822,172,657,225,475,252,731,417,250,752,254,228,271,040,
189,679,260,435,518,535,209,773,827,556,739,755,550,340,884,021,078,439,264,
130,054,979,818,785,968,559,690,689,561,864,729,944,522,811,687,254,019,097,
408,108,385,119,916,247,840,787,872,776,513,857,588,003,674,137,595,171,815,
484,111,183,602,230,360,590,134,344,343,267,506,175,684,856,017,775,787,433,
467,558,818,162,164,051,573,366,771,427,104,745,028,800,720,141,210,031,653,
803,032,399,559,956,065,102,836,292,607,745,612,380,587,488,311,744,859,445,
996,906,410,078,052,194,004,667,164,426,052,702,266,824,899,309,677,782,266,
764,968,573,918,362,077,677,296,114,827,550,602,944,876,526,931,715,081,390,
110,050,572,695,133,959,198,565,868,093,437,041,737,594,498,745,134,172,669,
501,073,546,303,515,391,309,690,488,378,491,347,855,943,879,972,978,896,333,
774,477,976,961,189,357,622,216,702,576,322,382,509,366,208,522,218,379,818,
500,198,625,523,207,985,191,911,651,884,436,191,365,876,313,219,262,398,851,
028,555,077,965,851,117,387,147,860,472,106,107,278,480,280,296,649,672,373,
280,826,748,271,178,400,406,049,529,357,616,540,157,994,809,791,045,861,104,
086,799,236,267,139,431,907,014,298,725,621,327,564,127,366,205,518,501,797,
609,586,489,029,744,257,064,224,460,845,938,514,721,267,044,937,011,251,884,
305,424,467,136,725,904,171,925,817,515,218,225,203,199,616,766,949,423,830,
182,232,862,810,431,075,876,667,628,343,698,165,596,821,239,911,189,599,249,
370,392,766,511,758,261,392,517,343,701,288,539,126,556,301,195,029,579,035,
230,445,716,298,163,369,237,478,783,841,595,900,397,396,815,259,362,789,047,
657,348,476,530,142,258,512,854,023,590,736,968,637,574,111,750,240,005,953,
920,117,571,358,430,425,238,175,662,902,535,289,754,897,131,213,204,357,936,
311,835,400,029,300,127,876,020,558,147,282,512,299,711,229,101,181,047,034,
592,559,597,183,168,319,953,305,114,579,674,682,493,659,070,399,780,734,219,
572,869,549,440,571,450,093,574,940,355,443,176,710,519,945,861,440,389,202,
231,455,397,357,972,489,304,118,816,887,240,668,804,272,491,305,398,818,110,
928,766,276,406,463,730,655,973,970,962,025,997,203,852,579,713,487,361,944,
434,062,326,958,857,361,324,890,474,019,100,090,656,385,069,938,453,566,372,
456,497,355,962,812,927,485,501,930,326,511,451,782,022,909,268,854,359,277,
999,970,927,166,728,229,274,843,455,030,938,665,598,785,839,804,590,517,299,
757,267,195,092,744,139,142,061,644,188,969,748,401,110,384,342,665,384,772,
870,106,984,706,821,880,347,266,691,301,917,748,987,459,012,908,212,344,822,
236,908,579,746,998,884,643,048,371,696,225,030,321,452,931,805,300,282,595,
366,799,201,607,164,863,325,076,384,388,616,646,250,607,946,704,753,733,003,
142,392,037,585,476,458,175,732,296,354,263,049,959,680,360,280,134,652,117,
525,331,432,509,788,241,560,349,194,246,953,204,240,549,737,819,027,696,958,
248,655,448,977,206,149,161,859,505,353,160,231,898,814,573,197,490,036,717,
267,444,611,444,391,257,086,478,453,912,098,163,516,662,884,326,336,461,747,
619,201,039,591,992,250,118,338,052,243,188,925,698,092,411,440,104,373,777,
277,894,346,089,329,336,813,912,218,918,617,523,630,974,336,136,819,603,846,
956,603,549,832,625,526,584,734,368,792,785,693,774,570,914,511,625,584,028,
172,913,268,097,007,910,641,618,320,317,090,537,482,347,004,615,435,605,105,
380,024,947,790,190,318,985,286,578,558,486,777,609,996,177,939,334,684,278,
784,642,152,110,850,196,828,099,586,450,626,724,131,417,143,774,840,392,171,
770,245,328,182,577,878,265,242,268,683,549,948,042,016,129,961,530,676,827,
277,216,342,487,663,311,832,007,980,085,017,921,494,662,808,195,045,126,792,
336,120,551,290,973,630,355,307,967,331,172,738,046,743,880,203,497,817,955,
134,342,751,534,942,591,242,825,670,568,820,199,305,534,010,562,886,142,731,
458,710,098,756,809,754,961,027,401,149,826,691,957,209,408,931,303,826,433,
692,183,712,885,395,033,204,755,886,839,725,502,459,167,750,167,108,161,795,
371,868,461,025,103,791,650,684,287,926,275,734,207,031,907,556,859,718,660,
410,512,189,705,465,800,906,313,274,136,349,095,304,794,020,471,706,151,831,
545,377,929,798,763,193,170,955,544,915,483,972,465,769,508,139,096,876,472,
803,926,597,703,262,928,008,783,247,759,635,501,198,919,377,560,428,289,235,
397,265,220,244,400,986,617,418,605,617,382,994,021,224,506,961,014,440,011,
781,955,865,553,639,908,132,483,885,062,624,945,777,314,393,566,523,249,578,
133,773,246,257,244,089,823,089,696,995,293,054,062,709,541,686,327,111,907,
536,807,841,466,628,146,992,025,413,138,620,986,014,115,956,956,134,801,614,
090,030,939,623,806,068,260,697,822,176,697,137,563,266,788,918,648,743,238,
663,237,066,245,730,767,517,815,686,876,372,208,961,721,869,249,635,200,263,
624,532,074,815,711,007,026,248,208,225,446,114,228,673,007,324,472,940,388,
575,271,070,090,460,848,065,110,760,607,802,820,297,766,696,032,846,577,737,
737,087,448,497,957,433,193,200,916,044,841,311,358,786,381,843,983,402,499,
661,791,271,504,815,287,316,842,645,682,686,025,729,225,259,751,048,455,149,
798,879,162,174,349,230,007,953,232,198,251,872,608,906,876,088,700,707,242,
272,204,541,270,086,476,268,740,007,149,687,567,097,361,431,482,662,128,595,
263,882,813,738,553,140,764,710,663,291,003,808,577,019,698,483,923,380,642,
742,674,203,730,040,105,104,668,981,153,590,549,024,159,633,622,634,999,851,
663,800,138,941,240,409,945,314,550,997,021,509,829,142,526,386,192,181,788,
765,364,017,722,520,734,751,968,872,273,784,710,856,165,155,832,746,179,743,
143,947,729,359,346,701,460,169,799,636,154,304,503,428,567,695,999,991,132,
086,482,065,521,437,716,791,680,903,927,054,182,528,997,670,209,122,339,239,
375,470,415,049,266,094,945,860,545,584,628,527,454,807,280,703,088,317,502,
695,287,683,302,845,156,860,720,518,860,620,870,845,560,679,085,929,311,116,
184,031,099,050,134,608,179,385,589,529,226,366,984,383,472,704,396,721,805,
946,624,395,428,154,851,070,344,270,655,469,408,504,257,580,830,308,377,514,
630,674,255,543,960,332,838,267,487,747,139,911,163,275,162,551,434,536,062,
220,943,000,290,291,537,807,308,120,519,500,573,613,381,046,799,187,155,023,
978,712,960,147,260,347,131,053,317,823,880,654,972,210,445,558,780,832,781,
299,963,696,260,022,099,590,292,848,763,643,146,248,981,784,391,606,710,473,
333,396,704,656,650,904,313,118,302,508,158,062,546,067,607,232,845,118,663,
819,689,445,307,004,940,340,377,904,414,165,100,756,488,113,288,322,435,538,
641,598,114,155,009,227,845,156,435,118,623,574,948,266,630,319,805,215,987,
667,105,808,722,334,006,078,685,236,785,454,125,707,614,835,755,033,040,412,
211,094,122,871,158,186,472,219,844,269,802,546,589,364,169,521,312,551,131,
805,944,303,830,795,456,450,493,619,157,120,085,862,802,247,035,137,280,186,
179,499,460,587,031,108,750,008,298,363,310,619,495,863,651,325,922,721,333,
910,596,375,193,621,285,288,004,741,578,232,536,140,103,876,191,164,876,166,
232,782,525,551,074,095,113,706,919,255,182,453,319,802,293,339,383,519,040,
163,049,816,895,330,105,011,140,171,315,286,483,635,677,865,650,454,850,053,
632,383,484,389,114,986,511,127,791,280,552,710,542,998,225,469,835,282,542,
734,452,347,773,749,439,158,045,840,794,534,657,197,068,994,318,829,955,757,
139,281,569,606,901,330,454,912,955,620,174,370,922,613,433,003,683,335,414,
380,482,522,374,959,412,714,635,136,660,080,096,632,920,499,476,590,399,029,
713,202,131,703,235,768,386,431,409,471,130,245,490,080,943,775,356,429,076,
536,850,879,706,413,640,862,816,596,315,799,629,812,054,811,485,204,862,533,
433,138,272,006,845,074,566,384,927,988,571,022,432,982,417,151,310,311,600,
523,649,595,088,213,836,787,372,442,563,603,950,478,176,205,156,516,740,320,
795,462,157,700,400,697,214,004,116,485,076,257,277,577,224,955,583,399,381,
306,516,524,974,111,002,795,269,104,873,585,699,568,685,303,257,174,750,101,
695,955,350,543,749,250,225,902,530,752,864,582,261,428,835,326,805,770,562,
975,465,977,952,903,577,500,634,492,660,847,124,175,555,627,532,332,307,562,
468,643,678,469,451,365,143,017,061,683,863,268,685,831,257,552,752,215,326,
670,114,300,873,549,527,621,581,039,529,451,477,019,638,530,224,064,807,397,
903,728,489,996,238,063,958,072,067,110,464,075,702,377,649,330,357,933,824,
384,461,474,143,226,862,250,880,534,592,750,338,074,317,365,916,395,079,479,
860,835,857,881,506,718,101,386,574,463,719,381,376,008,438,154,726,725,663,
730,157,057,492,604,702,969,725,633,395,181,314,159,973,881,115,926,357,433,
599,414,113,630,211,492,082,857,303,590,615,177,046,460,768,892,299,698,526,
490,041,637,914,540,505,753,537,381,913,980,459,764,859,110,326,045,885,334,
017,342,899,010,732,507,162,859,339,367,173,664,194,058,223,853,966,205,840,
175,341,020,015,570,736,256,155,967,350,800,423,192,259,852,653,833,985,901,
142,485,416,487,440,294,275,806,410,618,102,721,399,076,428,546,604,828,092,
099,095,802,502,757,470,059,019,573,975,624,230,663,182,499,308,786,154,281,
915,833,212,808,350,011,085,649,428,176,089,859,165,354,353,868,920,241,277,
565,620,672,601,068,560,318,236,594,642,657,789,887,029,765,884,978,095,994,
852,438,219,789,262,409,155,768,720,435,890,452,366,770,020,316,381,399,219,
653,164,968,492,189,831,459,216,751,593,270,150,789,140,759,405,968,521,704,
396,835,708,390,676,873,417,372,359,819,843,871,985,736,829,689,895,996,780,
799,734,126,876,973,458,585,138,340,918,581,783,826,196,663,981,631,289,645,
132,465,477,573,074,552,455,474,429,696,303,335,050,329,371,738,332,786,536,
812,888,787,577,706,357,217,711,910,662,674,566,794,375,683,430,301,828,999,
933,223,909,999,091,760,946,917,417,717,899,410,327,748,108,692,590,266,741,
661,029,333,477,055,028,806,835,454,161,422,636,727,362,706,713,339,470,794,
087,018,568,835,203,135,127,501,677,426,020,238,113,675,926,746,894,969,706,
677,998,694,244,862,871,241,761,744,483,555,892,780,339,932,495,363,390,070,
209,936,332,895,469,650,533,221,779,410,799,088,542,625,873,573,965,004,475,
135,835,682,186,271,031,120,427,270,349,853,626,405,565,265,171,974,050,558,
806,851,962,901,067,795,101,679,690,788,991,056,746,018,764,997,152,849,675,
557,013,369,418,595,432,834,256,847,896,228,316,390,298,073,328,539,709,814,
632,564,785,925,666,996,152,056,658,011,882,558,332,605,389,779,674,052,203,
191,595,486,901,537,882,288,276,837,071,438,373,118,523,148,126,012,484,003,
954,871,606,493,821,091,322,389,958,058,145,260,676,333,946,766,204,467,385,
337,684,010,423,331,037,440,836,477,053,166,063,527,300,831,555,759,326,354,
196,807,432,922,145,745,030,497,665,295,639,897,276,331,911,424,441,907,869,
471,940,698,597,107,875,288,400,831,146,700,114,715,068,592,509,381,744,152,
272,255,236,363,272,399,232,484,625,427,420,451,599,847,528,033,962,960,800,
731,567,012,660,097,602,962,261,690,226,368,544,872,834,297,943,386,422,123,
550,593,549,327,767,332,027,266,193,888,862,414,708,577,239,841,182,351,653,
673,180,728,730,254,639,828,072,950,505,222,754,965,124,623,376,789,384,404,
002,518,336,625,398,210,043,268,952,000,708,065,719,556,258,544,772,524,000,
904,545,629,172,434,051,652,026,115,409,341,764,544,828,514,882,226,614,734,
036,267,490,335,353,099,149,684,197,661,481,309,907,504,338,906,867,967,816,
547,307,790,449,575,331,385,949,173,834,296,734,870,797,180,930,884,256,485,
732,260,261,933,805,153,585,377,384,126,162,020,415,577,721,176,760,768,264,
265,315,972,337,387,500,952,464,500,992,412,930,069,957,388,614,924,051,794,
900,112,580,623,048,937,273,134,091,831,463,721,085,920,907,243,577,274,599,
071,753,057,906,903,882,600,608,874,878,538,515,717,795,823,779,727,643,732,
845,424,977,616,741,868,163,676,461,724,877,974,462,915,701,199,241,320,655,
523,874,871,895,107,154,413,079,294,494,774,617,306,883,820,460,083,648,639,
036,318,678,875,550,166,536,736,391,255,995,582,342,628,093,442,178,231,976,
316,617,870,283,582,585,573,856,772,680,578,819,933,037,590,945,218,062,864,
747,238,038,956,712,643,721,294,940,976,525,774,268,103,416,715,432,810,616,
168,091,963,038,348,355,776,396,957,836,949,983,700,541,428,611,094,927,457,
981,330,929,084,551,357,762,723,126,525,154,552,329,774,976,352,357,632,744,
845,387,271,415,499,206,759,745,528,365,719,665,240,469,092,840,991,727,042,
775,266,088,248,019,153,458,866,079,563,957,891,876,711,770,079,491,595,548,
824,007,295,559,695,864,532,526,955,983,234,922,998,416,459,875,791,929,930,
595,317,857,519,758,515,830,991,086,495,833,316,793,607,601,426,277,538,621,
005,495,486,907,182,400,642,788,256,375,178,226,848,904,822,506,061,982,861,
528,451,034,823,851,064,656,953,743,667,489,794,278,984,183,304,251,027,540,
771,432,762,040,408,071,222,162,281,474,303,702,874,418,837,743,548,493,660,
978,716,063,616,539,701,799,315,430,673,473,067,376,973,598,374,192,867,694,
723,293,306,030,510,792,792,179,275,866,825,315,873,319,946,882,741,055,489,
651,113,550,416,215,050,604,753,499,708,198,772,250,729,209,010,384,786,191,
059,080,587,903,587,522,445,250,952,853,178,114,032,337,849,067,062,775,915,
728,139,166,724,843,001,805,799,075,687,881,140,316,378,830,479,650,626,708,
360,714,532,216,383,820,444,172,744,043,350,889,179,784,216,363,386,392,106,
583,905,762,760,751,884,557,723,532,897,931,064,480,984,786,736,204,290,245,
477,051,295,585,285,358,332,284,220,742,481,441,007,569,362,996,599,089,758,
644,032,609,534,218,694,167,017,740,098,448,848,584,349,958,703,541,777,445,
522,781,605,916,649,159,827,829,820,597,671,019,283,491,823,605,173,842,974,
654,664,555,503,355,609,408,902,864,135,653,017,516,813,734,671,443,015,191,
514,295,817,489,491,697,454,015,762,333,955,214,345,352,251,680,871,472,220,
019,116,176,872,734,257,071,696,145,228,684,028,155,069,384,427,615,215,890,
524,493,425,946,367,061,188,171,812,238,819,413,723,628,516,142,376,683,067,
005,313,453,467,586,028,912,324,836,510,759,770,380,046,963,920,859,737,359,
017,095,435,782,034,015,741,371,654,307,872,951,727,839,544,687,026,001,095,
872,724,392,603,548,785,144,043,625,227,791,789,245,522,393,463,617,332,561,
670,422,906,647,488,578,676,912,374,848,306,673,566,203,881,981,859,691,417,
610,441,569,253,357,174,036,693,671,488,590,561,857,619,059,862,719,610,456,
757,808,947,625,654,966,079,005,944,722,774,022,840,936,254,922,302,612,487,
089,153,754,381,047,073,408,267,355,497,060,207,107,711,129,369,131,946,832,
172,787,116,410,223,891,845,618,033,314,122,840,551,680,427,937,463,394,772,
240,508,945,955,608,242,695,489,936,367,075,581,084,535,537,862,519,511,506,
761,424,549,060,254,974,841,558,410,209,925,618,609,825,236,531,733,034,533,
162,329,775,719,455,943,313,077,310,024,169,954,289,166,744,635,560,989,017,
669,448,549,464,596,551,446,333,917,105,365,162,698,392,466,220,367,351,799,
224,264,833,242,374,272,141,539,058,732,487,319,303,881,493,456,523,849,493,
694,102,989,601,697,323,568,175,104,412,354,108,842,824,335,584,065,741,534,
386,731,642,611,555,611,593,458,225,845,684,326,091,242,548,818,455,863,629,
595,756,065,961,282,443,489,917,338,254,128,395,506,125,288,996,399,161,219,
121,826,924,181,213,138,026,990,399,845,736,534,474,447,949,464,203,687,042,
020,693,158,498,642,774,671,674,565,231,462,308,096,612,095,030,421,851,496,
503,589,087,338,360,668,450,787,886,791,939,999,751,721,772,584,724,115,993,
144,122,430,083,501,841,224,342,031,675,719,344,934,177,229,583,008,753,136,
928,739,194,925,725,491,863,967,720,509,613,240,636,858,672,703,218,555,887,
174,852,908,811,039,676,360,785,768,820,857,243,522,438,286,668,614,340,294,
348,941,883,624,260,550,542,415,115,325,659,250,191,792,087,076,947,795,256,
752,473,079,466,348,760,696,640,231,262,444,919,902,734,473,940,857,371,376,
851,831,809,463,668,940,721,144,783,603,444,155,963,202,410,291,951,869,970,
015,416,242,644,758,850,386,644,112,361,935,189,900,830,327,847,945,017,686,
124,967,733,896,644,475,683,812,307,818,238,431,728,049,757,309,628,555,131,
652,477,848,643,585,709,144,230,302,081,518,701,454,728,635,923,670,329,300,
487,799,217,937,895,286,149,041,822,736,636,763,875,526,563,540,029,880,307,
958,554,144,404,616,590,204,155,063,229,056,769,437,706,964,441,381,357,118,
492,052,571,809,173,282,917,853,014,209,766,409,457,360,476,773,997,204,607,
764,827,372,205,432,239,342,180,928,586,753,002,412,781,334,181,626,316,962,
361,871,219,437,180,275,614,285,972,244,802,382,054,479,386,143,987,232,007,
097,656,987,744,701,775,707,065,377,781,293,446,474,110,769,210,134,435,135,
726,446,480,955,765,789,455,560,904,855,405,188,302,009,441,328,444,669,602,
879,026,811,205,440,403,313,810,188,142,175,233,087,993,627,917,709,406,284,
429,630,621,017,706,624,532,692,547,403,385,136,778,583,239,647,352,935,290,
105,247,469,100,198,266,154,065,955,142,244,329,001,309,452,588,162,148,070,
628,322,827,262,848,695,619,008,711,192,103,702,403,658,174,144,209,076,369,
663,556,790,043,002,523,318,950,830,090,103,691,569,917,214,488,531,224,202,
393,947,414,633,253,916,425,296,974,655,254,078,478,828,596,820,065,788,438,
972,306,365,450,443,839,509,716,245,392,256,335,540,653,110,472,764,921,970,
314,887,192,067,243,768,264,645,954,077,892,717,519,237,262,382,671,770,602,
755,503,057,565,704,866,401,712,382,419,281,343,289,902,999,228,609,578,083,
678,288,300,540,639,436,107,665,387,365,089,613,122,512,248,647,762,106,341,
281,019,912,216,492,092,997,905,888,727,384,892,439,535,283,016,172,477,471,
963,164,202,730,861,557,329,365,990,913,173,981,573,508,217,636,056,594,090,
522,995,199,654,192,181,963,064,347,899,835,188,561,981,588,132,459,780,909,
236,134,601,795,474,598,716,029,994,476,691,193,701,868,611,127,325,654,171,
127,638,685,355,144,260,057,778,633,288,369,802,335,867,905,380,495,428,159,
672,826,253,888,426,354,970,531,951,978,795,461,826,170,310,177,027,404,778,
343,441,104,444,679,489,167,134,245,656,971,340,124,072,205,182,556,800,721,
149,406,303,127,332,520,199,241,135,860,061,234,699,299,802,579,049,351,651,
706,344,857,479,744,036,609,733,992,402,346,449,873,567,053,783,875,104,230,
919,477,994,531,401,099,659,438,324,959,402,900,657,969,754,452,836,106,367,
370,576,817,219,400,829,737,116,667,429,689,877,641,001,212,516,681,018,014,
030,116,751,160,594,203,212,650,046,978,227,332,185,603,988,615,306,174,388,
343,229,832,482,459,251,439,173,218,871,742,881,451,713,119,647,448,128,982,
773,894,706,579,432,029,670,943,138,682,210,616,279,085,877,283,809,070,894,
067,832,266,597,825,825,525,715,719,592,899,459,502,968,408,621,552,199,943,
433,001,511,162,257,577,726,588,533,465,674,887,033,086,693,564,324,239,002,
740,699,317,277,773,804,199,511,084,888,703,652,976,024,864,965,834,923,267,
929,346,480,788,296,992,346,456,521,193,116,778,637,311,702,848,841,239,042,
496,739,623,331,651,504,315,018,045,303,559,865,970,276,159,256,765,791,282,
076,072,356,709,080,255,245,882,350,649,386,583,324,809,170,392,883,920,600,
644,345,469,465,968,513,861,537,043,886,076,667,432,693,649,992,423,998,452,
179,479,839,323,812,156,718,714,541,417,927,618,157,358,547,680,362,179,633,
503,435,027,562,178,713,996,218,402,413,559,744,364,539,362,452,042,616,710,
355,185,067,173,826,614,482,275,287,782,629,177,762,551,815,861,678,004,095,
411,856,918,757,020,955,968,774,699,009,638,367,265,697,038,331,842,050,773,
049,268,416,160,419,083,823,251,706,467,410,622,188,442,793,325,750,311,788,
553,058,395,557,699,607,735,300,847,326,476,393,076,431,622,344,502,753,903,
485,401,931,841,580,478,501,282,372,146,529,152,532,431,984,032,282,458,880,
377,132,329,644,831,529,506,072,028,570,397,831,339,245,818,666,823,950,443,
735,607,258,076,217,555,288,502,661,063,797,165,832,118,837,262,162,570,899,
076,534,930,506,091,050,908,723,767,649,344,058,368,544,981,013,317,096,900,
244,861,539,340,398,811,978,062,295,253,288,331,841,199,253,428,834,796,096,
740,179,919,513,285,359,483,366,147,549,137,863,930,701,230,728,234,198,998,
845,052,679,207,434,375,062,801,823,412,142,671,090,509,733,142,485,686,699,
641,212,125,326,105,749,599,733,201,040,048,985,629,090,021,469,942,254,633,
409,931,672,216,156,019,726,392,479,277,227,773,990,488,037,333,705,313,321,
945,103,519,366,436,381,528,248,154,149,180,203,343,339,135,970,370,323,724,
285,284,860,091,949,380,335,756,220,969,780,895,199,202,412,325,017,252,388,
659,285,307,892,134,191,441,487,329,864,039,515,716,459,726,749,368,848,747,
045,870,186,631,487,283,509,292,695,790,167,051,509,888,385,347,848,442,609,
745,827,295,169,730,932,806,471,265,719,377,517,161,055,651,676,986,647,826,
536,785,808,262,212,011,429,915,246,540,612,656,313,798,229,074,129,792,001,
008,202,926,906,182,312,529,780,160,968,996,648,117,959,574,970,688,228,250,
688,524,112,526,140,538,878,365,959,535,150,838,826,989,526,298,980,719,118,
339,647,224,682,907,677,414,408,098,828,799,875,068,653,122,054,895,303,147,
346,239,902,653,637,062,156,129,152,750,243,203,744,533,236,760,850,169,685,
265,965,547,530,563,157,650,291,639,605,097,560,405,248,669,097,115,689,238,
282,618,300,570,259,297,745,123,453,020,760,467,680,370,739,359,398,732,080,
996,988,705,735,512,287,704,752,408,047,432,057,863,085,722,448,605,881,673,
995,022,533,657,793,829,836,973,378,586,190,497,995,553,261,626,977,114,781,
254,058,518,969,875,746,722,141,178,228,045,967,297,525,108,824,564,836,681,
286,408,197,810,569,135,749,639,834,318,479,015,840,038,289,614,434,859,964,
507,358,867,315,243,598,215,504,541,584,176,466,962,660,687,690,121,334,159,
537,952,526,438,619,281,648,117,015,264,651,848,386,192,135,151,245,645,699,
798,610,953,776,715,315,171,250,878,082,820,634,800,983,720,393,326,122,221,
652,488,464,598,057,972,467,850,039,795,799,610,046,851,724,443,118,413,342,
948,492,721,242,225,579,044,876,029,066,829,260,350,705,506,390,549,643,145,
428,661,506,988,981,505,829,095,142,213,605,020,661,687,518,397,150,958,758,
729,810,169,723,256,003,810,725,886,740,702,803,715,208,162,291,774,670,855,
934,952,792,413,848,057,493,924,946,652,588,078,103,683,784,756,307,634,027,
367,208,107,437,128,849,061,988,002,015,494,518,054,813,924,462,915,899,186,
251,418,047,486,107,055,955,117,369,545,955,766,704,712,555,466,354,113,168,
759,267,987,598,230,619,208,686,843,161,979,074,707,898,485,196,029,881,697,
271,506,539,763,700,460,810,700,584,167,382,104,963,373,784,904,632,936,126,
042,484,898,363,640,880,920,483,824,040,462,415,792,143,225,053,370,261,360,
138,906,951,089,178,272,929,475,403,272,608,324,949,168,077,986,683,370,357,
791,005,113,635,584,960,485,189,478,001,351,227,869,429,587,961,642,188,070,
088,048,221,338,600,691,911,653,664,055,456,113,797,971,729,293,251,177,215,
808,625,129,225,843,527,521,739,836,744,497,330,810,277,839,204,260,188,763,
811,914,615,545,242,559,903,483,007,311,307,401,178,158,071,783,090,783,682,
043,355,708,631,897,364,695,446,886,908,514,581,149,238,300,261,073,670,062,
875,427,950,244,230,873,299,582,186,486,974,700,316,785,024,223,264,531,283,
035,173,228,998,625,705,684,843,024,446,384,515,489,315,951,906,672,233,322,
255,007,860,941,904,923,985,312,301,257,912,648,492,234,884,939,581,412,837,
304,573,017,878,239,126,195,334,839,302,894,026,849,356,371,990,386,641,370,
127,977,269,453,178,838,037,152,215,260,899,119,286,673,820,890,799,644,179,
723,744,053,254,843,702,109,798,673,381,608,585,341,478,590,282,358,805,230,
267,071,725,151,429,572,943,042,684,373,129,339,860,601,377,549,986,562,959,
563,372,414,128,463,913,618,768,202,446,088,855,446,103,617,898,187,262,788,
177,514,287,358,539,473,671,016,593,790,049,024,620,970,033,724,631,874,062,
834,943,501,198,738,417,777,868,924,850,486,253,889,569,376,242,547,528,078,
202,932,124,761,851,111,691,459,913,127,184,805,221,446,116,758,003,430,912,
079,328,873,838,301,911,360,443,708,515,116,008,952,112,991,220,573,240,298,
848,733,769,981,629,488,995,949,809,448,223,937,887,626,863,617,471,142,231,
870,994,594,194,489,345,809,002,152,436,229,598,833,936,115,938,416,660,519,
299,281,984,826,871,714,516,285,057,705,422,828,326,244,492,894,930,919,982,
927,887,763,021,589,016,477,299,049,530,506,544,310,544,738,228,264,377,792,
122,142,632,521,623,466,576,423,882,363,677,646,612,011,144,398,184,308,582,
160,695,924,755,613,949,060,771,806,311,929,311,903,170,878,946,136,299,069,
947,034,333,547,302,156,224,327,820,629,979,977,300,378,668,139,745,012,712,
812,660,932,097,694,871,954,746,357,897,564,759,982,310,284,381,194,828,160,
275,923,888,593,851,306,484,341,222,588,060,969,520,414,406,101,298,319,395,
191,540,312,725,348,755,844,499,913,349,848,396,437,234,138,806,321,460,564,
998,959,783,003,582,514,215,902,054,928,099,550,344,661,707,449,195,568,180,
743,815,290,189,067,229,194,996,667,273,708,325,240,693,190,490,457,183,513,
516,648,035,838,211,092,625,069,534,181,444,100,182,911,238,350,308,350,501,
208,014,875,806,919,682,146,739,496,624,671,765,514,967,183,228,273,272,011,
528,087,634,084,261,094,832,318,564,360,457,187,034,013,412,519,894,309,821,
330,184,909,192,294,908,004,607,723,443,356,471,580,785,797,356,703,924,367,
612,613,706,734,668,622,332,435,383,958,738,135,020,851,874,009,669,158,428,
665,745,285,333,102,059,368,136,934,008,852,573,370,352,995,485,084,274,178,
158,901,598,002,349,894,552,157,647,430,814,592,557,283,411,788,662,247,250,
865,141,519,065,235,433,922,851,723,312,624,169,674,819,839,296,200,108,906,
857,031,012,517,913,903,391,908,842,097,772,259,590,364,103,502,365,823,400,
311,748,315,595,630,449,420,627,795,119,323,840,205,319,586,186,250,996,866,
916,879,306,337,994,984,038,691,382,549,197,082,247,624,399,868,829,834,671,
913,026,546,916,054,265,833,729,978,924,523,914,010,971,716,783,159,040,474,
055,700,830,351,816,302,569,716,128,683,132,537,164,104,454,220,635,791,050,
513,229,734,810,810,678,491,136,167,638,843,539,032,417,171,758,669,201,596,
329,681,694,011,403,843,331,499,927,976,309,830,393,354,183,323,506,377,746,
027,681,622,015,347,160,071,823,838,392,943,064,837,777,692,060,929,667,163,
420,798,516,794,503,125,880,154,569,819,218,840,234,040,661,505,541,758,027,
608,593,331,808,548,071,540,386,938,186,645,054,962,100,229,927,053,114,948,
855,137,880,687,150,640,011,750,121,563,413,528,535,857,590,016,487,801,327,
636,977,896,672,514,093,950,960,438,780,048,458,189,300,661,945,862,340,311,
340,015,717,457,176,970,439,902,302,515,640,939,672,359,406,228,604,073,606,
808,409,048,384,034,152,893,998,186,675,904,275,803,623,479,311,765,082,386,
108,847,891,363,903,969,744,103,465,725,542,600,723,474,861,850,010,793,825,
814,718,455,874,631,224,123,946,894,725,255,010,457,430,507,187,842,280,953,
125,105,558,139,842,907,886,032,943,862,214,621,469,452,768,354,352,086,072,
782,607,201,982,367,600,447,603,145,344,944,261,465,436,024,120,880,109,407,
130,231,861,958,956,454,764,082,342,688,860,865,265,295,149,547,699,361,691,
049,409,551,700,506,198,525,741,630,819,826,223,614,076,395,892,948,714,398,
586,391,538,831,978,216,957,539,528,617,760,393,456,124,763,467,991,441,556,
306,053,931,627,851,286,705,911,476,443,596,846,587,014,422,327,997,213,618,
365,739,436,429,627,033,200,727,890,546,257,942,194,838,514,676,240,516,686,
072,344,550,182,602,237,687,733,469,271,604,937,726,017,098,046,715,634,662,
058,795,046,839,551,691,134,114,410,675,953,474,680,543,359,278,799,655,176,
524,666,543,066,452,308,170,596,061,400,062,116,889,837,320,173,297,629,459,
493,683,596,961,950,965,976,973,560,228,869,864,236,415,687,777,330,570,729,
968,371,621,047,894,302,810,529,904,542,943,587,951,018,780,178,634,446,102,
634,255,638,058,093,945,626,605,217,249,753,505,069,157,931,011,939,011,404,
262,267,749,467,348,268,412,428,953,787,968,393,510,000,667,112,893,841,463,
112,625,884,318,773,817,075,707,322,192,811,060,357,307,040,798,632,750,095,
768,622,683,548,174,203,565,498,212,867,896,452,221,963,341,544,218,693,865,
200,291,680,025,003,866,767,696,529,614,415,903,615,999,066,261,656,728,360,
116,848,420,812,985,763,852,906,334,367,689,063,102,509,237,992,657,835,572,
452,990,012,556,564,846,122,922,261,178,033,948,156,073,546,254,498,268,635,
648,979,523,192,019,859,831,077,106,304,008,933,167,254,202,904,368,240,655,
309,266,436,281,762,157,129,243,837,188,514,471,174,024,694,002,816,252,292,
121,557,217,385,141,581,944,896,816,928,494,197,649,882,995,976,745,609,918,
799,006,703,373,511,425,932,916,537,950,593,050,454,738,730,416,473,259,564,
681,567,198,964,900,465,994,879,813,964,431,878,589,423,441,965,477,623,082,
336,303,055,647,366,518,133,305,215,401,282,551,405,875,368,864,990,156,780,
673,604,532,114,261,452,197,532,552,481,913,245,217,048,538,121,078,326,440,
876,507,906,489,832,930,074,102,068,513,199,993,876,785,865,306,338,023,142,
577,578,501,450,261,285,482,056,376,745,552,740,829,262,948,761,562,642,197,
806,862,790,117,906,045,687,305,439,179,482,777,406,706,743,741,519,878,151,
840,724,297,731,316,881,317,442,267,804,697,440,308,250,839,991,742,306,020,
355,487,201,373,175,021,552,369,599,958,567,359,157,435,282,274,606,536,683,
326,889,461,308,971,715,242,987,114,498,012,585,082,020,002,299,227,663,855,
181,430,331,656,653,541,697,544,300,339,548,160,740,068,013,951,004,345,103,
271,466,217,344,705,339,472,722,152,435,322,881,451,352,097,971,028,655,436,
384,756,726,866,915,391,174,921,822,315,631,168,435,746,291,136,175,884,963,
459,657,132,941,383,810,925,635,545,370,760,995,150,534,890,802,923,145,572,
722,955,909,652,039,085,415,110,061,532,022,865,594,188,164,495,881,805,887,
978,744,663,046,569,495,936,107,150,320,346,457,150,724,102,999,031,292,158,
163,291,786,939,798,088,696,997,586,907,347,638,432,120,959,271,784,448,567,
873,570,822,264,270,461,732,599,078,651,509,102,764,023,986,308,596,384,193,
282,351,820,889,518,549,319,064,408,918,203,817,780,812,324,476,445,480,232,
010,083,535,511,584,944,315,447,470,852,743,032,751,385,908,796,198,424,352,
935,739,018,740,233,009,648,711,859,351,805,894,166,346,282,822,939,540,751,
065,220,350,938,765,854,653,754,961,977,480,307,145,512,422,939,589,184,397,
077,575,492,501,848,831,882,317,742,155,375,540,428,277,778,065,065,934,227,
449,335,944,098,645,330,654,596,968,836,580,822,519,439,085,335,495,328,251,
413,170,805,192,322,378,030,132,057,801,530,134,410,831,337,452,070,773,521,
183,179,788,674,437,072,671,676,894,287,856,623,701,468,635,511,131,025,624,
741,571,926,463,301,852,704,221,920,293,779,820,425,712,490,972,194,524,370,
125,590,989,875,128,180,721,820,927,919,745,457,847,061,362,424,236,489,396,
674,838,433,061,938,289,795,759,739,227,372,030,016,344,473,338,607,026,558,
572,316,310,916,042,524,169,255,789,198,344,333,696,328,717,213,348,128,583,
733,887,225,789,007,806,822,249,179,470,180,465,520,186,353,986,150,914,836,
845,906,850,474,386,314,305,897,397,490,290,518,768,745,728,028,842,306,012,
294,480,184,052,289,778,848,617,238,341,928,189,500,038,677,216,233,158,680,
744,541,312,508,903,610,280,090,454,919,493,774,894,996,289,868,204,968,571,
072,361,236,357,322,603,035,177,556,151,130,918,640,578,600,661,806,739,600,
544,907,687,282,677,448,223,629,141,059,625,411,635,349,310,369,872,220,596,
708,689,228,046,230,321,024,090,165,845,634,191,365,135,827,097,065,059,520,
604,690,075,012,669,689,154,779,784,279,226,079,189,592,518,760,502,467,785,
491,655,893,040,533,161,741,857,731,596,986,252,509,299,478,164,429,967,232,
906,464,325,470,906,264,483,532,723,146,993,352,475,477,110,406,285,518,726,
207,043,675,623,140,043,887,218,425,379,982,117,047,915,762,795,066,571,353,
317,726,733,414,124,085,579,456,929,302,401,781,085,420,987,270,037,551,150,
944,940,138,787,452,624,675,311,088,014,417,333,766,054,198,090,261,911,528,
292,460,908,014,186,332,143,003,163,107,025,383,879,802,534,895,135,344,664,
336,346,160,114,798,029,098,178,235,654,200,104,634,916,807,180,131,078,655,
693,565,551,730,726,723,704,830,848,785,423,169,173,229,418,875,801,737,442,
179,688,882,393,176,717,443,996,016,775,328,298,634,686,937,397,639,906,098,
151,912,596,400,801,348,358,374,409,423,411,476,276,280,332,485,417,233,683,
423,012,665,924,633,487,359,655,993,936,181,833,502,217,461,265,335,177,618,
611,537,278,465,733,971,561,907,383,361,654,295,693,626,114,985,320,333,569,
002,529,222,806,427,207,351,963,593,790,341,156,874,198,334,636,791,934,433,
807,120,902,430,949,241,548,090,410,766,739,780,533,400,001,306,658,139,822,
049,920,757,828,578,103,803,773,974,127,895,191,135,969,707,683,962,756,372,
802,003,483,169,853,727,858,420,210,228,964,503,440,299,569,891,195,811,867,
746,072,189,806,083,088,565,685,595,439,275,435,673,516,329,833,166,217,716,
856,667,453,374,582,846,277,094,831,823,412,946,480,815,153,820,887,320,015,
866,450,508,605,792,962,153,097,741,103,440,567,984,545,287,004,782,574,257,
532,816,983,899,469,976,473,607,281,729,744,879,046,664,438,676,572,774,033,
789,739,745,741,505,085,620,132,679,123,365,450,551,220,552,264,977,884,001,
671,118,602,690,603,984,491,855,324,960,599,931,312,350,646,693,239,044,279,
750,003,998,518,882,945,353,339,296,006,514,456,708,352,605,368,475,827,028,
643,487,188,331,736,775,200,345,620,333,670,486,111,183,672,423,653,329,631,
416,175,336,116,028,182,226,837,761,126,382,464,993,601,736,889,014,070,010,
036,296,487,739,400,169,660,397,756,395,274,768,237,479,258,491,168,750,440,
179,257,022,145,931,529,504,746,946,510,127,237,288,509,476,265,404,195,531,
883,840,948,309,373,840,266,618,261,328,976,837,040,649,891,170,253,509,029,
309,309,380,229,562,591,738,159,144,374,018,068,541,811,622,078,241,356,082,
720,922,857,970,128,157,367,751,683,040,606,613,674,224,511,697,613,414,208,
961,041,590,357,594,820,950,161,305,856,942,341,434,548,414,741,269,529,089,
044,006,199,711,329,055,708,701,758,287,570,509,473,849,525,477,154,081,455,
789,992,321,925,328,998,777,849,105,456,853,287,051,860,428,807,308,452,848,
770,909,946,305,532,200,959,797,919,412,230,953,188,344,130,569,770,172,008,
405,981,865,562,500,756,199,149,316,356,773,265,394,484,605,750,709,106,324,
145,063,966,708,833,170,884,323,139,100,641,258,349,463,777,725,990,846,415,
730,877,863,982,852,212,449,415,508,823,994,463,258,228,545,876,085,607,395,
444,062,404,025,232,546,599,813,404,713,082,239,417,503,612,575,724,970,554,
223,734,435,770,485,164,926,067,778,075,978,759,810,249,551,806,469,589,508,
515,504,572,928,218,496,993,665,193,980,273,117,487,932,938,968,595,073,110,
358,675,517,287,950,079,546,385,262,921,700,262,000,964,116,233,751,258,035,
460,398,779,192,650,578,380,596,493,914,963,311,456,033,781,442,628,710,226,
232,459,247,807,900,145,876,949,100,973,877,497,360,948,782,032,316,400,984,
565,558,594,753,372,449,475,812,578,626,940,911,876,258,059,595,196,032,438,
211,227,702,387,824,892,955,386,920,601,448,258,593,364,695,542,647,043,689,
673,767,832,145,964,644,285,295,693,621,169,610,094,674,856,683,546,835,489,
829,742,664,502,326,806,095,553,933,034,432,843,879,403,722,046,598,531,689,
536,773,262,352,288,144,348,983,871,449,835,208,301,965,576,701,105,507,099,
705,976,063,699,610,531,709,083,864,224,958,178,108,395,367,253,409,262,143,
005,884,972,993,238,491,427,062,910,203,392,780,642,343,603,289,032,778,088,
639,706,673,660,087,778,494,784,470,616,393,995,143,897,079,946,102,911,936,
903,543,544,896,172,129,553,325,703,451,858,386,181,219,171,353,082,353,170,
989,039,838,475,245,153,780,751,904,894,301,695,726,713,159,577,235,661,710,
763,850,186,918,820,640,201,510,069,986,438,631,508,360,867,430,050,675,882,
036,267,450,350,327,035,763,979,446,621,855,794,806,373,855,620,191,163,943,
781,704,162,522,195,083,508,519,004,431,318,696,970,341,845,955,837,066,739,
347,146,358,065,576,480,594,258,952,714,332,272,670,712,576,606,922,567,985,
558,056,926,959,074,709,160,751,824,979,210,287,232,319,137,008,060,108,221,
650,156,471,753,120,553,550,458,290,829,439,234,071,039,960,538,532,029,039,
998,792,259,943,061,211,937,989,521,190,920,839,977,616,304,162,890,182,793,
549,243,269,559,566,766,129,585,918,269,228,229,337,941,364,767,332,974,707,
133,963,221,454,191,726,395,486,523,097,273,616,235,002,009,676,608,388,496,
370,508,871,180,855,576,606,515,365,412,490,175,121,205,125,525,778,743,489,
096,289,954,178,706,349,521,253,428,760,093,494,591,096,302,270,771,480,395,
269,872,838,066,625,689,678,346,460,242,559,694,436,776,687,704,278,747,993,
191,215,279,752,590,302,705,062,243,310,971,312,795,111,548,264,946,337,971,
113,540,288,507,725,017,302,562,924,478,275,890,911,051,381,103,765,065,650,
397,979,684,773,115,284,769,126,845,174,690,120,910,210,115,580,462,495,827,
453,382,898,141,552,419,596,323,368,993,993,580,684,634,976,572,956,305,205,
442,502,417,205,713,261,396,604,896,569,731,828,858,433,973,508,817,784,054,
624,443,707,962,617,716,170,168,611,002,609,007,985,629,131,327,115,486,530,
334,331,572,713,247,369,502,491,421,424,549,125,231,332,608,780,703,158,127,
416,683,259,570,141,742,208,493,226,808,485,087,033,690,824,868,511,014,226,
141,194,931,552,560,738,461,081,794,086,197,693,511,442,685,448,937,042,825,
457,149,693,459,933,846,916,414,318,257,497,199,708,576,016,424,728,665,582,
712,317,081,526,294,559,470,748,914,654,410,325,077,665,845,222,494,955,404,
036,380,359,060,907,968,435,314,087,275,192,560,719,960,414,741,467,828,134,
470,705,532,411,664,241,591,933,672,325,239,097,135,898,358,472,156,762,460,
115,911,098,602,187,398,948,477,278,500,932,717,927,307,351,329,720,929,837,
171,836,326,309,529,422,652,329,186,333,201,846,754,068,783,643,907,686,194,
126,013,575,560,262,875,573,041,444,819,950,055,011,926,508,040,297,028,403,
734,884,211,504,433,800,260,567,996,074,139,409,060,625,060,443,093,443,571,
590,146,027,281,081,904,515,904,823,099,279,048,865,581,040,655,258,171,661,
683,358,944,943,896,291,850,361,260,786,371,624,613,364,525,173,735,952,512,
842,086,721,466,572,596,628,027,988,206,575,962,835,389,317,471,880,515,197,
066,751,450,468,471,695,785,735,276,471,860,913,248,117,337,030,941,142,434,
883,833,773,338,701,131,039,624,995,984,306,427,528,659,379,767,899,844,841,
102,756,899,341,537,251,735,538,400,049,653,912,352,079,301,537,890,960,986,
598,947,889,943,555,290,065,663,105,200,435,612,683,836,932,798,736,022,371,
307,018,047,626,563,077,419,348,592,328,449,737,357,902,074,940,648,937,567,
102,166,005,437,257,879,241,496,536,996,116,220,483,555,791,733,443,990,929,
650,347,583,898,497,470,155,038,950,623,461,181,932,032,553,014,018,726,732,
088,013,457,774,155,933,361,342,578,359,788,403,806,786,137,743,220,993,528,
627,141,044,139,307,972,471,196,959,972,051,205,412,813,984,927,317,965,988,
091,139,961,264,036,251,701,928,203,681,370,337,564,112,891,606,087,393,434,
626,355,954,724,665,146,077,510,028,101,478,749,534,076,644,306,439,822,038,
661,272,218,559,435,820,546,318,715,175,081,918,552,874,170,811,981,089,705,
507,034,546,917,664,539,557,771,109,527,689,525,991,400,325,771,872,013,238,
234,772,498,333,292,550,073,091,887,345,157,721,959,911,607,959,071,319,593,
900,662,371,832,292,670,811,407,543,914,589,375,255,875,747,973,322,713,713,
841,913,135,965,216,022,243,587,807,933,222,396,778,060,142,457,806,790,226,
092,201,979,550,779,624,631,039,838,421,559,189,964,900,253,816,058,974,952,
996,163,507,073,311,451,794,788,457,550,647,002,949,408,732,455,052,866,995,
959,359,917,685,117,744,213,961,237,597,093,609,167,058,005,497,155,196,485,
714,789,033,632,049,184,178,289,080,367,197,262,683,889,345,703,314,343,827,
827,582,689,113,914,955,457,456,215,410,552,449,345,206,837,513,699,795,533,
853,982,093,127,008,553,474,261,247,076,210,767,751,434,578,793,972,320,908,
244,069,161,300,083,294,740,077,587,773,996,339,911,792,325,834,849,937,947,
537,563,124,740,134,373,973,179,195,780,575,629,425,881,070,100,781,334,623,
635,263,576,599,799,482,763,203,983,335,709,744,619,618,886,829,413,371,943,
394,044,670,541,892,098,772,508,760,158,670,654,669,641,893,742,580,621,954,
493,879,751,476,483,852,260,084,124,235,254,191,528,299,688,568,257,313,109,
438,644,882,768,181,112,183,672,588,027,305,561,058,173,739,121,903,229,776,
410,794,081,840,800,761,012,865,657,631,391,807,044,640,745,814,495,157,985,
333,371,892,857,318,416,625,756,643,970,810,095,901,545,834,005,526,868,601,
443,590,256,000,428,698,827,848,645,297,265,566,137,621,077,051,241,194,059,
441,646,739,795,958,538,948,420,553,429,145,947,163,124,460,261,720,706,800,
457,034,980,906,240,850,481,984,222,037,326,521,385,202,526,655,276,048,545,
001,715,418,051,598,703,337,501,527,024,957,928,709,086,405,073,854,201,997,
127,534,465,153,126,442,964,132,560,558,405,099,552,183,997,352,582,645,575,
666,217,072,896,406,021,212,145,303,434,533,699,690,146,365,882,984,416,325,
696,960,492,309,544,905,037,183,017,943,894,739,040,229,870,188,671,063,790,
306,321,564,173,572,756,108,271,991,676,442,903,480,355,532,665,137,754,781,
874,689,402,774,900,568,772,394,946,912,143,412,618,919,380,883,744,776,575,
776,201,128,625,891,509,805,972,033,695,432,212,216,529,577,912,561,014,281,
429,482,515,281,843,684,994,536,655,979,534,276,614,212,122,666,412,098,486,
127,240,830,177,040,344,795,616,565,533,855,134,453,859,287,588,653,819,497,
748,373,556,747,535,996,062,041,216,508,650,579,374,390,844,099,996,971,714,
536,410,617,363,358,658,714,185,473,384,149,355,412,800,304,936,113,079,614,
734,588,727,346,915,050,159,551,005,802,042,371,140,091,845,214,365,795,577,
542,369,865,881,294,653,546,538,741,441,505,363,268,064,341,228,085,508,852,
736,424,439,004,945,515,561,726,389,440,913,242,886,784,231,675,660,766,372,
804,087,273,747,055,111,477,298,021,812,055,496,361,025,979,637,076,167,513,
720,914,801,708,146,920,227,336,782,410,662,015,598,361,119,116,375,664,132,
344,119,141,560,970,058,233,013,642,999,608,313,129,901,880,480,398,111,761,
989,783,338,154,842,062,886,920,663,565,448,618,112,912,030,707,889,767,812,
819,038,872,063,258,641,541,975,304,594,989,797,078,387,791,711,171,390,701,
663,985,081,197,480,733,591,082,009,268,848,536,957,133,357,585,940,608,904,
070,461,882,069,105,906,501,386,742,176,103,765,877,731,757,182,388,898,717,
269,488,005,701,492,330,674,168,199,921,080,822,805,641,890,999,267,964,814,
643,171,563,402,776,171,559,181,632,643,086,683,994,087,082,112,427,843,220,
666,130,437,857,458,509,250,255,261,323,449,376,930,538,298,718,032,294,681,
583,159,076,596,009,381,555,719,165,429,967,907,362,883,452,171,948,371,378,
412,679,177,706,085,745,800,072,317,920,345,686,469,672,910,142,461,808,661,
679,091,035,430,037,563,235,890,930,975,380,667,602,282,717,266,989,990,104,
556,568,191,881,855,871,174,236,797,150,944,854,274,858,051,209,656,146,407,
934,090,511,409,729,366,540,873,369,005,298,286,529,495,505,041,368,513,614,
826,005,518,994,169,787,745,851,987,079,503,799,681,763,968,658,721,532,232,
649,816,805,064,695,939,486,892,806,796,654,503,984,894,729,443,767,869,175,
331,422,330,247,876,290,617,243,327,088,239,608,307,909,619,020,761,736,080,
911,861,632,200,389,174,847,847,857,425,191,508,156,604,808,504,944,374,187,
931,235,459,446,206,973,799,921,827,367,496,045,606,529,409,398,059,856,413,
190,473,636,097,860,789,824,223,575,299,104,752,363,027,647,187,604,073,926,
568,011,794,481,065,559,736,876,481,078,172,393,987,396,182,423,016,471,961,
898,893,077,263,955,165,350,264,961,712,429,718,656,470,976,751,182,983,679,
524,919,534,918,111,640,869,351,951,244,705,046,892,886,310,083,803,778,853,
602,522,861,230,419,101,100,530,612,283,726,490,751,672,935,652,096,760,624,
246,980,836,707,120,213,745,862,881,241,082,586,798,585,555,051,954,028,245,
616,903,457,489,754,764,857,352,708,485,653,786,150,319,006,953,672,107,724,
747,139,823,262,350,230,016,884,256,993,379,198,624,710,460,070,999,835,067,
671,602,602,960,322,794,390,767,256,856,548,329,441,917,285,393,346,855,869,
785,889,541,061,961,581,016,799,563,578,086,808,601,200,905,416,729,552,372,
892,809,800,874,633,143,174,957,505,297,613,899,274,972,148,672,961,746,368,
131,049,718,547,824,277,697,940,525,209,652,972,351,410,508,713,640,758,661,
443,014,299,583,205,813,853,096,925,318,794,145,167,105,287,813,298,861,497,
407,189,454,587,661,080,132,045,714,283,184,221,175,638,695,596,834,097,169,
676,508,041,121,602,155,859,364,914,942,247,526,211,607,126,793,175,876,058,
972,479,351,918,329,021,498,330,454,847,451,717,237,136,041,731,149,842,986,
308,889,932,389,123,471,707,151,128,077,410,277,912,657,479,480,761,868,804,
897,507,434,970,042,765,972,031,240,492,793,228,729,182,751,984,381,818,848,
784,624,118,267,962,801,590,373,734,646,112,545,615,716,478,523,770,912,683,
238,881,952,002,378,687,916,106,469,521,213,654,858,645,541,002,347,018,207,
617,517,773,112,314,525,273,387,341,958,959,968,787,365,986,192,829,129,438,
055,910,653,949,869,732,745,738,201,532,155,676,778,735,938,783,317,887,507,
334,263,854,874,101,542,317,191,517,874,651,070,430,356,028,844,392,715,914,
516,261,061,022,843,211,635,178,698,304,661,919,916,479,194,309,201,623,852,
242,149,506,635,067,867,619,196,469,707,589,004,661,546,590,622,058,900,569,
744,496,981,109,440,089,902,492,594,146,575,856,386,984,602,336,219,869,991,
453,026,568,180,168,295,848,528,893,518,098,407,934,552,168,970,567,631,538,
530,406,178,229,034,294,266,677,659,831,682,751,053,185,257,468,284,382,159,
529,724,932,115,877,572,767,496,021,869,685,837,198,836,792,686,903,240,499,
342,600,372,377,059,885,720,272,969,907,810,770,714,429,367,425,755,502,644,
570,277,836,317,119,314,176,552,891,197,061,209,454,548,289,756,615,600,109,
583,968,101,162,890,814,886,844,179,761,135,170,372,587,554,416,038,547,309,
125,654,699,687,303,643,735,156,127,676,865,656,296,371,312,436,550,536,100,
215,716,709,409,699,932,052,219,709,283,329,473,540,645,251,339,621,124,528,
802,852,175,286,825,178,681,830,604,623,105,313,077,628,726,573,192,369,207,
609,360,891,455,795,382,127,650,496,696,936,017,071,842,478,445,182,884,669,
673,572,141,104,381,201,439,904,095,616,973,233,902,963,988,085,773,945,698,
653,369,835,798,632,968,208,574,048,968,073,379,894,886,072,384,891,759,863,
613,261,148,187,266,553,480,186,300,439,950,285,292,728,180,824,903,341,251,
497,734,251,321,549,742,815,826,223,774,812,698,745,200,886,409,398,588,834,
461,949,053,073,587,709,474,303,313,691,103,076,889,569,479,765,758,756,910,
710,319,234,552,250,813,428,037,707,848,940,418,473,619,763,440,760,995,235,
848,162,821,271,173,247,220,923,716,259,417,067,105,802,684,057,871,172,234,
347,881,708,611,891,272,782,387,347,181,952,379,239,814,285,749,536,243,479,
821,165,550,985,140,795,333,563,633,191,651,513,402,400,696,232,133,081,872,
472,754,212,398,373,683,625,945,603,562,816,351,038,540,299,402,349,760,916,
862,500,383,411,481,872,494,311,043,145,548,073,978,311,012,874,766,956,748,
867,643,849,456,069,031,908,729,230,233,894,476,757,659,717,188,933,342,725,
764,702,081,463,515,204,838,230,196,266,883,834,080,943,661,222,315,428,307,
759,089,315,251,021,205,898,922,712,318,856,642,530,259,190,063,061,918,863,
142,123,978,149,762,582,391,820,543,421,808,305,812,248,354,066,259,463,499,
375,667,036,923,542,226,739,764,993,883,535,611,350,194,485,681,662,112,855,
057,343,582,932,949,316,455,619,166,642,818,278,508,444,066,663,942,275,922,
701,952,853,631,379,432,022,937,949,241,000,678,045,960,360,162,725,006,165,
292,624,504,106,634,693,514,048,381,149,762,829,748,892,827,224,269,677,300,
471,592,941,792,380,708,870,327,495,866,955,683,963,968,519,077,638,183,328,
247,594,269,806,533,675,373,035,756,531,604,173,847,723,874,629,462,191,833,
259,152,005,451,556,582,044,566,782,546,237,177,943,052,070,206,597,381,460,
598,903,354,849,763,690,464,853,612,999,964,414,708,455,455,822,471,974,025,
954,560,872,835,013,124,133,739,219,365,893,154,192,359,422,103,439,138,836,
387,986,920,414,816,338,191,969,699,585,766,731,858,170,916,595,407,431,054,
430,024,952,629,962,420,423,957,617,649,452,125,677,683,158,097,682,240,735,
938,094,036,589,352,243,333,133,129,153,943,990,009,540,690,906,404,985,405,
294,492,388,345,647,852,496,329,429,920,808,595,252,304,713,848,613,553,999,
480,228,403,096,220,064,781,080,682,077,687,553,531,884,255,161,431,889,871,
276,419,637,486,694,536,974,070,584,756,778,695,267,736,063,723,984,913,840,
271,557,264,793,890,166,133,544,351,567,867,603,316,171,651,931,201,228,711,
323,971,236,011,376,646,237,811,031,838,757,900,894,597,782,503,055,015,580,
942,703,866,198,276,470,384,721,857,972,436,557,737,250,604,804,639,812,726,
857,418,934,747,504,149,345,392,590,531,213,687,429,260,169,170,021,750,016,
264,185,824,915,041,687,573,154,024,499,704,410,319,963,340,590,927,583,074,
163,661,304,314,820,405,250,414,507,759,301,478,945,044,186,711,654,813,151,
699,360,543,186,083,619,389,751,237,044,465,833,520,942,206,419,482,519,559,
246,254,725,162,822,842,844,915,887,025,906,986,655,085,791,359,693,154,586,
149,848,567,940,641,172,864,207,172,596,592,737,048,022,848,065,350,361,272,
060,094,215,673,122,859,363,776,028,902,047,247,999,087,948,513,447,605,983,
868,451,330,733,997,054,051,548,167,914,413,175,589,531,722,391,865,303,158,
195,829,832,355,874,283,418,999,635,101,908,932,447,211,912,627,229,744,654,
496,646,997,699,111,366,380,794,765,189,151,068,141,514,943,457,538,141,431,
718,790,922,441,079,631,565,701,682,358,795,064,812,158,000,176,126,155,684,
042,848,803,690,768,785,119,514,149,947,420,224,035,779,417,716,216,625,014,
272,394,475,459,790,636,254,407,121,580,083,176,165,240,477,913,717,392,404,
257,239,618,030,874,109,864,252,412,768,452,470,941,135,095,547,630,617,662,
874,280,728,620,788,112,608,984,394,555,522,433,809,630,665,241,020,749,052,
887,849,613,351,665,420,866,029,598,294,096,534,001,783,930,500,725,827,563,
224,194,962,069,179,853,629,125,574,443,627,757,682,889,057,645,928,579,980,
728,023,964,819,188,824,521,175,159,705,164,145,227,522,261,454,422,478,819,
381,528,605,895,710,243,934,939,517,240,118,329,524,063,379,561,652,512,291,
341,625,073,735,444,036,579,664,087,930,893,486,510,164,106,463,873,075,992,
566,124,714,527,402,919,650,085,498,638,730,739,702,012,681,689,524,375,610,
573,571,568,450,719,598,356,482,081,882,052,691,232,780,643,244,941,143,363,
831,140,105,900,484,658,165,266,887,519,688,616,113,481,031,003,528,339,072,
573,151,739,820,375,163,917,517,431,978,484,494,033,170,249,085,733,672,820,
730,332,801,219,932,850,962,433,338,732,473,009,507,510,521,212,584,851,550,
113,640,097,062,636,987,499,807,462,162,735,889,183,127,282,885,910,270,794,
237,931,016,823,950,038,745,399,304,820,654,361,562,958,333,933,560,237,999,
218,773,722,591,169,275,638,973,099,186,199,981,087,552,109,322,142,090,120,
688,251,610,756,634,049,507,265,911,629,439,839,649,745,595,343,808,354,002,
928,521,377,357,820,371,026,105,209,559,848,577,588,738,661,443,761,577,419,
027,333,118,294,698,242,177,863,282,818,631,386,037,593,061,611,134,130,409,
248,794,830,504,636,215,774,500,824,608,345,652,996,988,492,262,231,414,350,
759,017,779,725,475,213,874,859,202,667,719,989,760,902,342,889,866,968,344,
112,451,540,356,018,527,393,680,015,365,713,547,402,977,299,337,686,285,202,
394,045,538,654,875,682,192,989,729,409,054,264,918,928,333,005,366,904,348,
687,030,245,478,838,379,200,649,013,293,512,537,896,130,123,330,749,150,585,
666,559,658,924,489,937,673,733,688,929,096,413,026,816,681,227,862,010,165,
094,421,382,902,319,201,579,510,502,739,592,489,789,446,980,768,839,510,144,
307,414,989,396,438,000,431,849,866,217,143,925,002,855,165,561,370,999,619,
990,851,014,720,356,055,832,769,913,464,094,539,893,270,431,193,553,910,485,
600,000,781,113,927,406,639,899,930,137,618,256,758,481,106,875,963,877,956,
802,693,850,164,253,481,288,882,795,889,227,489,473,131,390,964,780,454,237,
603,818,252,975,395,216,570,895,091,908,270,735,768,450,719,269,306,481,123,
244,666,512,441,725,138,796,592,493,203,877,967,007,868,963,094,383,857,844,
404,915,862,309,321,272,536,650,721,480,262,002,925,741,428,708,537,156,337,
070,356,873,320,624,502,618,243,253,600,606,574,447,513,454,501,080,475,920,
914,523,975,824,287,241,016,024,728,662,810,352,990,834,548,064,973,673,677,
800,554,559,317,036,654,233,889,298,767,345,927,542,170,040,378,013,071,287,
141,201,068,283,217,296,279,478,760,871,123,393,486,249,682,852,537,954,353,
353,183,090,004,222,406,606,993,762,414,605,561,470,959,081,267,036,278,529,
279,581,325,705,794,994,312,437,537,575,984,834,516,989,528,686,817,614,520,
230,801,932,333,872,129,436,133,789,452,870,559,198,625,348,007,979,533,642,
132,931,094,977,551,692,545,529,242,761,203,771,236,029,642,152,262,477,627,
234,020,381,836,492,113,876,347,555,842,164,773,934,847,978,413,077,068,701,
343,788,051,785,823,768,332,961,549,886,232,640,625,718,921,660,022,409,121,
689,444,370,342,692,460,825,173,683,103,353,953,751,478,313,169,044,861,723,
474,233,418,511,835,485,970,354,552,629,893,794,320,739,017,863,836,553,534,
566,142,126,614,814,775,433,686,530,497,077,429,186,162,281,068,747,132,281,
592,664,663,569,422,112,748,210,128,930,932,011,117,034,393,935,344,773,127,
847,541,549,426,189,039,277,500,189,772,202,293,371,141,877,659,779,594,704,
346,523,810,648,804,615,530,317,425,904,104,050,905,775,603,608,724,220,720,
415,892,054,294,519,243,587,573,878,391,128,665,941,844,890,430,935,294,886,
209,107,359,979,132,935,475,994,939,918,112,689,346,948,837,893,718,730,493,
041,867,732,362,189,766,265,150,397,173,427,061,104,048,029,231,225,886,782,
067,669,027,222,485,627,974,197,056,972,179,504,398,402,898,280,868,126,842,
064,871,738,252,485,498,058,380,340,335,676,275,352,292,685,080,257,200,812,
135,186,383,358,331,531,304,830,356,373,629,144,569,984,874,420,178,063,751,
576,888,127,249,777,775,356,467,101,487,959,563,566,676,492,295,163,028,536,
076,221,480,421,378,884,638,798,427,681,335,015,399,981,466,248,310,754,616,
350,124,255,172,171,721,802,591,108,393,074,743,583,184,587,752,156,364,238,
879,825,899,350,345,888,528,016,656,647,927,221,696,502,345,577,246,496,354,
085,382,126,719,838,840,271,802,589,050,115,557,615,798,021,577,259,208,504,
975,886,771,139,394,418,859,820,831,320,156,898,768,568,182,803,702,644,554,
624,635,695,794,913,284,884,096,546,352,555,645,662,966,928,103,208,924,236,
481,885,500,381,463,626,693,697,626,876,973,184,751,185,036,287,964,475,789,
696,913,470,064,829,025,015,179,455,283,137,515,201,060,778,682,905,894,284,
145,002,321,782,447,131,662,102,892,840,992,730,410,556,793,499,121,520,792,
224,519,864,296,949,663,806,366,519,535,020,856,040,170,745,025,615,181,861,
779,139,373,056,711,594,073,815,289,235,829,666,223,176,972,804,115,385,988,
535,461,112,114,934,264,304,268,411,381,066,857,889,581,129,571,454,540,887,
867,328,495,900,006,958,805,260,172,204,644,326,823,974,953,550,605,623,924,
955,331,853,025,859,495,338,077,048,252,741,021,875,563,673,913,388,124,175,
010,035,610,128,797,071,988,070,756,000,691,420,887,127,322,621,707,658,112,
568,059,663,275,067,394,989,231,145,922,047,285,986,971,350,957,427,003,613,
106,832,802,726,661,128,218,987,616,100,102,874,091,070,910,603,270,593,613,
736,229,672,643,623,331,394,715,742,248,297,366,013,214,408,869,573,519,066,
196,833,232,049,618,496,778,987,828,848,980,056,871,301,760,746,323,107,527,
159,311,835,425,607,570,982,978,099,011,600,914,138,572,416,608,348,809,313,
515,591,451,504,512,648,591,031,541,729,970,586,059,407,347,410,272,368,425,
938,615,186,666,751,411,383,770,776,042,201,478,217,979,300,864,383,368,935,
772,614,054,852,260,761,246,936,942,911,746,116,653,916,600,886,447,126,979,
419,727,618,469,555,893,985,113,609,257,162,107,703,558,123,875,850,550,221,
480,056,500,542,445,230,739,149,094,556,578,232,424,540,354,717,380,656,478,
640,072,520,096,609,300,407,955,874,505,680,788,821,118,076,760,996,876,450,
693,654,150,406,580,756,752,478,387,901,297,101,723,733,572,474,630,559,887,
211,956,229,724,426,592,019,679,205,220,168,119,903,963,196,072,850,886,117,
010,733,608,148,055,394,521,738,514,886,514,805,108,900,677,903,939,701,230,
715,345,780,719,205,340,822,202,546,009,732,174,709,484,919,242,885,564,092,
169,273,523,448,087,331,361,766,814,933,502,616,747,864,504,769,523,402,386,
686,678,066,762,653,582,883,092,083,731,879,807,271,704,737,475,355,696,613,
724,767,849,790,147,859,209,531,858,307,801,703,228,884,923,880,460,052,942,
306,017,998,678,569,883,908,572,223,547,725,361,349,595,423,549,754,990,247,
891,785,800,841,461,971,241,447,091,956,196,275,010,607,694,231,247,887,453,
133,986,621,843,002,699,546,075,874,352,004,843,733,457,354,714,578,041,539,
878,478,583,727,764,992,467,509,686,035,314,886,888,483,965,816,404,001,297,
082,566,873,018,925,099,046,681,567,814,948,334,401,747,309,618,406,609,313,
745,545,803,476,605,931,030,177,242,660,881,672,456,235,503,550,950,928,714,
197,206,994,810,350,418,687,757,195,405,359,789,792,167,011,265,996,870,700,
684,835,109,839,337,375,096,684,026,331,792,947,950,351,162,542,788,802,685,
956,847,498,508,098,592,336,488,742,401,257,580,624,627,007,487,202,484,040,
267,533,166,012,042,069,328,984,747,720,793,241,285,857,569,945,725,586,087,
577,458,848,725,038,349,010,515,918,623,999,099,365,527,870,392,217,367,843,
798,306,276,129,390,821,863,576,744,718,214,309,849,743,600,413,626,917,517,
362,270,961,012,655,913,664,841,436,364,484,523,299,621,282,969,641,368,747,
476,871,548,977,847,918,786,977,479,079,866,156,770,339,376,754,459,619,058,
120,049,506,560,899,239,264,976,168,086,634,047,291,898,159,593,790,300,254,
228,551,417,883,213,031,626,325,040,296,980,039,179,506,386,963,631,051,070,
903,053,670,027,719,972,538,249,461,082,129,146,170,760,703,496,245,112,470,
875,697,054,871,565,114,004,759,954,546,712,724,097,256,711,584,658,947,637,
660,301,078,267,652,634,411,714,490,069,853,952,875,982,734,923,968,247,648,
274,620,583,087,458,452,477,728,894,961,960,253,906,597,788,262,101,286,094,
112,813,102,963,199,183,554,949,115,918,932,224,303,893,856,987,932,978,489,
199,008,045,252,424,477,211,182,923,031,752,072,557,207,340,203,856,800,252,
668,643,933,841,932,610,553,494,770,992,081,459,847,350,762,689,674,708,967,
352,541,545,011,713,530,725,033,516,921,489,369,884,400,128,743,796,620,247,
839,652,200,757,801,606,968,162,548,444,902,968,696,962,728,585,981,564,157,
243,451,842,439,789,094,924,707,590,819,510,535,567,955,395,610,296,200,571,
124,198,890,012,805,853,480,870,699,459,131,285,322,906,538,663,513,167,976,
647,722,272,977,092,796,549,854,608,451,774,005,786,166,575,546,172,878,296,
739,510,018,048,492,794,839,079,692,547,038,501,353,057,739,005,707,485,669,
718,023,592,560,242,849,004,735,609,375,520,585,679,616,042,394,912,817,443,
428,069,636,079,145,886,490,526,974,532,643,272,611,679,423,893,182,620,956,
460,457,105,161,082,065,678,242,262,228,879,071,008,797,839,720,289,204,320,
431,639,564,368,509,176,685,258,467,729,114,566,849,996,265,436,690,217,457,
561,014,534,389,812,211,472,205,473,481,187,468,067,726,943,485,496,500,180,
912,944,758,746,415,658,957,404,111,719,187,319,217,449,967,478,371,907,232,
332,027,541,748,543,735,831,801,985,491,915,308,939,446,279,464,317,210,112,
732,306,839,902,011,956,630,114,305,924,179,744,772,256,250,126,747,542,280,
124,131,864,163,979,976,243,009,613,992,645,619,587,076,682,934,074,230,134,
635,831,319,592,004,002,188,979,099,788,108,767,977,175,861,732,221,617,248,
271,355,728,116,105,226,470,386,338,324,281,838,035,128,353,863,303,133,412,
212,087,218,991,647,863,750,597,375,637,360,540,294,369,904,115,049,834,449,
385,129,287,545,511,065,957,508,227,622,426,086,594,806,767,293,900,632,361,
644,340,292,835,528,107,322,689,514,560,793,036,276,557,452,005,527,439,007,
640,027,737,324,475,101,663,294,812,767,270,383,008,516,822,874,650,048,808,
592,779,692,621,856,625,965,875,257,706,001,389,156,123,838,566,126,898,754,
882,742,800,278,060,644,582,485,446,112,895,674,860,453,553,501,181,962,002,
827,539,081,957,807,462,057,150,258,429,073,153,062,480,474,978,524,792,110,
300,238,668,202,784,386,586,075,259,049,408,114,911,824,000,866,757,464,298,
716,889,943,844,771,612,254,867,492,684,829,775,035,153,068,234,946,581,058,
109,871,403,066,667,431,568,074,498,751,691,379,924,157,558,708,339,512,437,
830,239,361,267,585,891,031,330,386,668,284,932,027,995,938,759,572,221,634,
720,397,100,907,723,369,237,785,322,911,599,903,479,533,356,876,860,903,530,
502,310,427,752,846,401,670,473,351,035,763,761,025,533,186,701,842,867,244,
480,639,209,217,747,655,028,462,461,955,937,946,615,550,417,528,662,505,010,
414,124,045,433,229,373,302,708,358,143,435,684,384,521,979,930,145,541,176,
927,440,075,082,001,072,300,862,158,258,913,587,384,650,239,246,786,686,653,
346,608,316,449,144,246,573,062,543,488,353,742,921,400,556,379,051,202,783,
003,102,584,700,992,591,830,620,439,355,217,747,627,952,802,208,910,262,308,
387,029,089,819,290,992,796,996,951,080,403,405,120,560,066,226,979,382,868,
336,776,988,393,863,815,755,894,452,021,536,849,193,551,880,466,422,391,082,
935,307,409,613,121,671,594,899,176,445,827,734,507,431,838,912,211,511,039,
369,344,406,976,617,158,212,981,876,619,871,984,398,730,762,600,908,987,767,
953,638,802,614,739,601,686,340,281,903,859,103,569,446,774,753,270,872,906,
165,264,056,043,018,083,390,128,702,004,090,323,236,642,354,403,589,603,334,
924,403,429,887,099,645,558,453,566,596,280,249,566,124,842,191,853,008,978,
773,868,081,419,840,045,622,982,015,197,606,692,311,847,500,270,307,085,963,
308,465,580,982,267,459,872,342,033,798,359,571,123,433,252,536,315,484,082,
996,093,418,561,954,502,296,260,185,758,450,313,724,035,303,862,471,325,730,
459,259,965,910,449,070,022,140,850,187,433,450,460,550,583,575,684,172,250,
732,021,365,469,626,601,955,074,652,094,122,180,789,091,480,877,462,301,013,
963,457,558,315,321,572,627,657,276,670,959,992,662,956,425,496,219,518,257,
822,322,029,073,280,438,130,710,420,975,848,606,321,627,924,904,575,970,611,
040,109,134,834,617,784,881,141,609,095,543,088,307,667,704,184,368,604,816,
251,644,844,321,307,445,111,288,884,787,040,729,783,705,911,045,770,895,614,
593,979,317,697,953,501,109,443,334,123,507,615,454,329,007,434,282,757,749,
561,430,686,728,168,414,874,613,957,210,505,491,212,985,547,777,837,547,059,
861,161,849,121,750,124,219,250,355,664,963,286,137,993,016,396,197,380,555,
189,124,639,716,628,607,203,198,856,441,643,217,762,138,327,211,398,386,459,
574,899,764,511,616,879,842,765,966,670,994,240,265,289,868,573,062,633,504,
498,657,624,923,674,847,170,466,897,048,434,217,143,114,634,093,871,085,821,
536,413,063,084,839,296,457,836,469,117,140,276,612,124,841,609,317,816,212,
882,717,612,113,461,490,688,802,394,435,554,500,126,676,762,760,682,052,576,
826,195,828,788,655,630,114,317,627,074,753,985,509,985,823,546,951,643,163,
124,938,553,124,264,281,412,590,121,045,526,980,197,259,912,118,257,064,838,
476,811,540,793,230,156,711,435,004,322,516,234,611,824,121,682,132,730,394,
466,297,064,183,013,666,699,294,411,902,560,520,897,908,813,027,235,657,550,
331,749,178,579,411,661,413,601,585,908,323,364,973,865,480,686,839,521,606,
965,033,466,216,614,986,736,642,643,208,703,417,943,639,321,810,113,261,910,
392,528,147,463,075,981,072,425,811,389,976,434,037,688,767,515,443,244,738,
232,470,877,055,211,310,256,789,925,981,907,117,835,425,630,186,348,932,835,
506,063,627,487,314,519,158,547,470,177,084,574,393,682,612,890,066,200,654,
652,943,799,071,402,540,835,971,428,957,826,543,871,631,836,492,394,193,553,
877,746,075,383,596,024,166,121,959,999,250,861,792,466,401,939,887,494,757,
631,194,940,094,180,216,150,426,584,891,262,174,486,151,679,298,742,789,686,
675,363,980,542,197,826,347,016,618,034,916,230,212,577,171,334,280,115,844,
159,135,052,268,353,304,556,377,872,725,341,344,773,252,162,722,870,124,111,
919,951,259,770,943,365,365,273,650,840,151,810,568,499,543,118,997,642,004,
703,390,642,067,293,878,093,028,692,973,535,633,837,904,391,439,278,346,420,
201,073,531,443,087,995,094,458,874,025,353,832,829,345,940,239,762,440,491,
150,271,880,133,638,295,542,700,113,342,791,773,915,256,783,887,084,135,393,
595,523,729,646,117,337,441,104,816,572,549,579,070,432,824,208,469,089,205,
590,145,009,083,258,637,697,754,714,246,970,983,428,607,846,145,742,411,555,
605,016,684,580,691,846,749,691,510,098,075,779,653,286,717,592,531,941,574,
123,346,620,326,216,572,279,787,945,901,668,579,725,640,550,291,264,419,411,
367,323,640,737,345,199,121,452,730,516,076,414,386,652,189,346,107,737,375,
863,705,365,059,205,598,776,247,834,207,194,060,290,641,428,029,053,853,911,
463,723,317,457,547,894,213,329,292,991,358,518,951,967,782,299,660,107,728,
561,437,591,456,498,559,008,032,841,747,717,834,155,016,548,134,128,245,021,
543,998,382,854,283,716,925,980,087,391,615,799,941,671,514,233,348,654,616,
972,161,815,081,450,722,941,673,648,218,052,412,781,930,436,175,249,568,815,
405,783,927,538,330,190,998,289,587,435,099,957,308,055,257,426,472,529,892,
193,083,800,242,827,025,553,248,328,876,661,594,511,412,795,904,687,168,567,
972,997,771,387,338,897,239,594,328,259,369,499,865,992,195,894,761,499,327,
701,647,403,998,359,381,988,132,677,454,897,872,438,341,620,635,056,653,182,
432,091,772,477,229,627,566,252,353,755,677,130,025,136,750,556,880,465,217,
237,843,794,022,436,549,248,744,189,070,623,513,857,748,283,844,147,498,530,
336,174,086,797,758,732,415,610,329,652,746,885,472,185,668,881,692,241,493,
866,051,107,393,845,122,216,301,526,559,617,810,598,369,054,561,871,062,653,
934,545,778,369,067,130,124,190,808,784,348,657,614,749,688,743,944,133,001,
698,889,534,291,167,858,519,428,605,578,368,910,327,240,519,340,551,712,240,
509,210,021,979,602,077,442,798,481,292,159,208,286,961,730,679,962,929,670,
623,506,701,916,831,715,075,733,849,204,530,542,151,276,873,111,369,317,285,
014,591,430,689,316,091,568,412,965,298,772,408,157,454,833,213,894,881,122,
578,138,466,370,745,998,784,476,983,400,365,057,250,199,326,598,078,663,787,
416,912,185,344,093,248,435,316,618,701,532,044,245,085,436,736,166,831,483,
379,021,754,565,517,198,571,732,025,243,255,829,802,424,384,999,952,049,416,
612,614,510,776,470,186,175,650,274,041,305,702,333,409,060,807,294,873,548,
445,788,199,902,971,306,858,394,382,123,856,463,907,816,750,780,429,155,916,
628,746,985,571,607,668,395,625,952,308,137,759,803,215,842,580,325,063,220,
477,209,664,255,476,968,831,664,413,560,924,991,237,261,474,370,956,119,119,
709,379,727,991,942,151,825,106,322,966,881,424,244,240,203,121,402,474,247,
506,977,966,621,228,329,191,059,305,109,206,982,516,550,210,411,673,733,641,
234,960,034,921,402,645,096,760,841,073,462,705,547,077,592,861,206,727,131,
194,290,412,563,800,059,892,048,453,580,642,271,215,252,790,331,344,260,204,
426,901,304,891,939,418,285,587,380,386,893,319,237,544,827,440,612,261,073,
163,935,696,165,959,716,384,470,701,006,324,168,274,928,306,415,187,280,889,
565,941,161,647,499,141,437,918,153,634,167,688,118,105,301,458,631,869,340,
982,282,312,650,445,911,911,637,422,791,058,672,863,355,935,102,496,374,477,
160,074,861,358,953,806,598,765,895,771,217,677,517,095,851,091,474,738,499,
852,201,584,315,148,296,766,581,466,750,500,994,406,652,642,119,078,676,839,
824,475,770,603,709,802,299,694,828,532,778,763,300,777,806,076,475,395,606,
347,991,762,973,265,833,571,203,442,621,160,227,854,684,864,599,090,998,430,
835,138,717,443,504,123,454,824,916,508,416,839,073,976,186,995,361,526,647,
346,107,420,966,275,543,348,457,644,912,514,727,049,132,541,730,711,542,221,
961,938,383,792,178,244,756,439,562,430,010,416,057,126,896,843,621,409,422,
625,951,555,784,592,363,108,373,658,435,358,696,216,534,795,919,053,978,592,
271,316,850,824,419,990,991,712,355,636,625,032,814,043,023,952,885,326,578,
905,812,874,221,923,385,169,893,155,333,113,764,431,039,971,194,052,775,636,
052,360,621,410,166,368,337,454,373,948,028,264,027,981,769,984,952,920,353,
041,587,193,135,124,147,948,556,040,047,294,812,694,878,867,245,821,431,286,
441,590,690,833,529,317,519,754,920,882,916,796,074,887,695,674,595,821,456,
124,304,427,539,092,468,329,182,511,074,250,827,434,911,926,078,589,884,686,
538,537,847,620,200,794,146,892,792,257,725,856,192,644,466,652,674,153,217,
322,116,769,012,538,660,677,881,165,751,358,320,677,899,742,879,146,673,457,
801,818,582,323,562,710,883,364,770,731,318,754,635,239,159,675,260,219,498,
344,853,301,921,108,197,366,368,097,933,505,145,400,261,420,260,681,010,910,
966,847,515,554,115,823,273,076,872,060,527,516,963,070,980,937,826,584,634,
438,184,605,092,431,734,605,968,339,854,984,984,487,279,641,799,417,697,005,
611,684,477,035,580,297,651,724,731,511,625,150,186,389,180,431,333,562,741,
534,697,673,756,820,062,352,314,368,755,866,060,464,516,833,814,857,877,248,
193,019,197,446,459,905,663,049,935,188,303,803,504,650,503,708,693,083,880,
660,910,684,804,381,642,002,482,423,779,054,754,173,266,894,982,397,506,534,
707,455,780,503,523,279,490,409,352,540,743,536,185,778,962,487,887,096,921,
214,601,733,436,844,577,280,454,370,577,847,015,285,519,102,290,857,795,351,
948,142,932,264,870,331,779,953,953,674,829,672,019,536,786,236,208,668,992,
474,539,222,403,643,476,316,632,252,525,088,656,654,603,525,582,660,331,995,
013,404,205,695,350,756,174,113,985,919,968,539,454,160,721,448,339,946,008,
690,481,593,004,904,830,697,121,536,885,768,124,788,143,339,047,970,451,495,
377,403,115,403,356,381,146,900,906,927,349,451,400,178,662,889,424,120,036,
000,382,719,955,915,501,513,229,640,097,104,230,186,868,438,327,683,596,071,
321,110,161,496,067,535,864,331,856,138,915,678,307,136,956,152,304,842,468,
374,907,077,644,154,507,348,216,541,914,479,742,300,011,444,313,634,477,313,
234,932,741,252,112,905,158,048,891,428,831,533,887,526,130,909,749,617,537,
564,435,635,797,399,152,310,833,505,647,667,534,120,919,923,305,287,639,739,
097,330,015,258,343,243,343,772,619,086,173,941,131,864,586,525,570,387,921,
999,607,044,344,731,612,606,233,730,498,953,411,685,993,066,068,862,717,091,
596,581,631,231,519,178,616,102,077,475,873,473,585,217,946,584,368,254,246,
785,743,630,961,012,876,763,228,010,744,866,877,506,646,300,043,801,152,623,
552,638,002,218,169,716,953,736,695,988,728,481,860,074,769,992,011,559,253,
356,064,969,643,264,917,636,794,842,511,182,680,317,721,141,760,089,962,979,
725,313,376,412,335,901,736,983,559,225,121,264,952,910,024,315,587,511,240,
131,632,185,604,680,998,652,705,618,947,829,668,127,610,896,821,140,245,091,
303,054,057,917,154,589,991,121,588,967,416,194,238,277,714,969,098,637,128,
174,030,032,899,221,656,343,839,582,250,377,894,395,843,248,009,343,547,352,
410,044,426,546,560,040,315,958,682,057,982,279,631,528,513,748,736,682,547,
337,137,296,087,582,024,640,850,606,807,759,438,293,291,395,526,501,958,913,
732,057,305,306,289,827,361,510,952,931,285,095,328,177,037,834,755,287,777,
961,062,906,925,786,828,642,620,586,701,171,691,247,154,345,575,454,170,059,
212,442,822,813,715,416,190,475,550,398,974,285,058,100,816,349,465,092,676,
314,400,277,332,574,508,861,407,514,473,524,451,842,984,932,070,831,127,751,
320,414,428,424,784,595,804,295,728,694,709,334,675,984,398,821,592,847,263,
954,192,058,569,770,850,839,012,690,306,464,179,676,308,112,632,333,447,438,
949,543,227,950,187,993,199,480,687,980,078,271,121,767,091,964,815,004,323,
514,974,617,733,567,832,361,194,907,714,651,664,200,411,439,887,738,348,247,
190,506,741,798,362,740,893,282,624,347,484,434,252,208,580,290,245,452,922,
421,605,137,416,905,913,415,385,090,532,291,432,797,826,043,456,913,691,184,
065,801,799,911,159,053,174,363,726,614,310,839,841,240,688,906,846,133,291,
251,597,662,144,711,129,206,074,443,817,855,142,297,045,308,057,206,116,635,
179,782,953,876,430,914,580,713,219,299,307,998,583,743,838,909,638,795,892,
667,953,086,791,589,498,556,028,633,746,235,660,294,632,555,168,836,462,885,
838,764,077,164,197,045,742,200,916,396,189,261,818,792,801,230,955,935,048,
540,388,469,734,992,808,200,402,197,849,035,446,604,760,388,811,298,155,180,
247,938,063,798,522,939,764,822,396,377,394,657,416,074,965,243,135,446,092,
321,815,204,067,142,369,192,110,867,549,231,512,776,305,915,798,606,223,538,
380,797,486,188,453,604,456,353,884,069,068,376,825,038,795,911,802,671,847,
304,152,358,536,381,576,670,771,338,329,177,981,357,004,541,513,608,507,417,
423,083,266,147,391,599,587,914,711,271,161,050,718,352,199,711,887,029,537,
819,574,391,282,722,453,843,791,703,799,024,020,655,704,861,374,657,426,200,
034,346,031,210,565,602,145,161,427,731,463,350,402,889,351,443,377,133,918,
703,974,140,592,058,217,268,293,733,446,690,883,990,759,003,165,067,195,186,
695,044,249,356,487,854,297,351,652,025,841,985,014,803,324,394,740,394,812,
415,552,575,750,464,652,711,025,907,408,782,534,954,999,133,471,032,322,523,
391,457,837,984,009,110,512,289,948,123,130,339,565,012,536,774,704,244,301,
313,611,068,453,104,030,742,432,765,057,503,705,415,233,599,841,418,777,678,
518,269,389,626,677,503,393,582,887,411,575,383,264,157,120,098,123,844,201,
391,168,566,106,557,066,835,319,675,510,287,178,732,957,148,134,182,464,332,
999,472,467,825,852,801,888,432,202,681,582,504,225,380,089,463,449,464,192,
488,722,484,896,686,635,647,675,511,418,615,072,560,820,304,245,728,988,343,
239,671,709,244,081,285,001,276,063,610,367,582,674,652,617,298,109,349,597,
390,705,539,388,585,836,436,526,226,308,520,713,307,308,227,043,929,082,330,
587,319,683,192,823,566,928,013,988,167,872,978,286,514,477,236,150,127,406,
937,945,021,023,147,464,230,386,433,072,844,703,017,738,475,719,368,294,826,
298,941,958,169,029,475,739,028,626,396,002,548,528,626,250,586,505,526,142,
286,935,418,415,392,603,603,185,470,801,394,360,292,197,674,922,429,009,234,
284,178,282,582,040,571,280,514,371,609,239,018,781,768,943,724,726,829,524,
598,588,200,667,448,444,537,265,309,633,650,705,295,459,669,131,071,761,406,
108,174,973,832,427,956,762,129,896,023,523,337,466,028,876,346,456,833,252,
209,739,245,395,537,321,389,422,523,567,432,368,084,644,671,971,010,568,445,
242,189,041,688,653,487,251,785,657,741,212,264,357,970,504,091,295,348,331,
701,206,005,693,594,404,536,100,465,361,687,472,136,757,707,610,234,576,732,
430,161,654,428,147,981,159,290,209,127,826,283,600,652,653,708,809,622,059,
553,263,119,773,510,150,331,500,309,080,405,793,816,472,995,832,419,640,261,
120,758,677,225,209,834,544,327,975,464,701,836,908,793,766,440,029,638,532,
348,093,017,498,145,361,379,149,603,074,016,639,861,713,334,525,952,213,717,
604,380,849,483,543,404,285,034,657,388,123,284,195,067,745,793,997,474,540,
230,326,629,837,967,788,642,069,720,091,111,419,686,347,741,197,589,816,193,
182,211,643,640,709,452,577,162,211,539,066,616,628,808,426,567,133,814,673,
862,848,879,599,969,258,250,702,879,673,494,157,655,491,610,448,627,323,759,
416,298,896,952,889,945,365,130,078,995,263,294,680,514,169,893,291,067,785,
754,938,692,221,951,197,687,204,259,301,632,205,501,341,308,024,923,098,781,
659,702,374,442,012,300,145,054,719,134,946,091,328,263,900,331,187,201,030,
006,235,367,188,136,095,012,517,977,770,592,311,981,426,253,375,680,811,634,
577,755,080,074,800,123,253,636,306,870,642,612,414,664,732,283,778,572,379,
646,492,114,111,030,064,100,034,205,995,396,669,919,765,117,003,276,333,037,
945,667,932,945,099,617,951,423,612,909,729,025,050,267,991,031,119,130,906,
345,750,913,258,591,653,693,842,075,478,126,645,919,126,912,860,453,292,638,
264,331,719,289,773,302,124,454,880,991,227,665,217,984,478,833,071,007,516,
010,982,743,813,681,046,452,142,296,296,637,185,555,740,604,422,809,336,375,
079,278,817,691,706,313,409,303,907,818,150,684,254,901,394,102,775,145,610,
517,164,920,682,825,766,264,835,533,003,731,222,384,138,565,324,954,234,644,
615,278,045,549,742,544,022,497,931,923,267,920,816,769,657,036,564,041,323,
674,592,817,692,365,042,149,744,833,407,877,631,395,849,027,835,635,893,216,
737,043,346,462,881,080,713,719,610,459,124,042,855,882,769,775,469,606,693,
225,177,678,421,503,662,535,576,790,474,678,632,189,417,983,939,186,210,078,
902,033,229,553,111,459,317,563,369,873,519,418,127,951,062,074,990,165,694,
520,898,330,268,138,714,326,515,574,460,961,568,004,877,961,159,712,574,554,
864,595,459,022,977,320,982,061,330,051,142,748,413,388,337,425,065,251,356,
252,413,352,896,961,564,604,518,263,904,861,276,058,854,631,174,181,840,527,
523,658,586,499,366,746,409,293,277,716,877,888,859,541,836,941,627,435,249,
032,113,305,157,874,347,671,130,895,314,987,813,469,105,085,730,160,974,626,
473,801,388,145,694,926,389,529,631,774,892,243,232,176,363,904,700,024,943,
515,764,245,866,782,529,086,674,362,090,923,602,249,286,636,014,540,647,318,
347,503,180,171,672,164,048,832,112,879,925,449,479,772,251,224,522,002,313,
581,564,201,083,937,726,884,519,621,247,721,291,174,824,687,175,234,843,515,
821,877,670,153,786,790,471,186,313,507,814,948,236,873,483,231,089,027,449,
394,826,793,206,531,646,894,949,927,101,119,910,510,887,525,445,409,877,825,
887,609,031,690,678,607,308,028,126,831,735,190,981,290,930,865,813,520,501,
641,534,461,765,385,665,827,815,508,701,086,897,571,262,513,836,601,599,529,
720,767,778,150,535,170,762,999,691,725,769,528,150,050,416,336,358,039,541,
747,035,302,231,595,473,139,784,012,767,808,316,509,974,066,230,378,455,689,
138,764,110,106,786,690,682,586,051,799,914,344,867,099,035,494,937,330,976,
099,396,004,709,421,625,524,536,410,526,569,586,985,187,484,975,007,861,201,
831,215,940,947,116,218,148,326,281,652,089,908,075,988,345,103,744,345,371,
027,388,444,356,893,140,676,128,834,185,453,352,060,580,805,346,928,700,840,
974,178,259,093,935,753,768,960,319,540,880,895,233,624,393,794,536,457,503,
752,840,728,663,185,775,474,753,849,191,442,906,103,836,798,359,696,504,505,
676,517,386,568,991,732,883,140,473,359,976,130,166,671,498,978,586,892,452,
749,515,801,369,795,780,006,965,029,556,048,243,261,702,850,448,630,498,972,
853,897,666,170,540,188,089,151,561,063,244,845,668,750,687,613,898,915,985,
031,479,900,354,700,623,254,822,781,893,324,720,615,297,003,518,602,611,954,
509,706,092,375,287,817,675,029,180,384,374,078,421,961,158,320,100,745,646,
926,236,063,573,601,315,723,930,579,435,108,866,655,409,925,131,266,732,971,
916,873,142,157,818,551,367,909,617,707,687,353,947,258,013,362,103,967,183,
666,012,587,696,279,458,266,883,495,630,831,132,260,039,989,710,896,061,872,
959,071,206,372,719,401,932,819,644,598,339,238,187,902,164,447,288,983,469,
871,971,357,660,056,774,045,756,490,855,710,413,153,987,613,347,216,396,467,
352,540,716,846,237,282,750,662,504,730,273,866,715,999,299,758,930,002,849,
894,274,625,838,454,625,255,548,083,139,343,782,705,949,892,098,074,949,931,
549,447,835,342,703,793,309,690,898,557,519,340,954,461,639,926,704,213,443,
062,412,013,684,056,092,637,386,918,506,960,577,377,474,598,780,124,613,995,
288,508,179,796,128,419,764,104,927,752,443,918,586,603,326,422,077,473,531,
053,341,850,424,603,568,476,465,078,749,419,207,441,278,734,346,409,235,020,
094,241,520,869,537,048,511,464,520,584,901,500,306,000,398,459,807,639,812,
684,093,232,971,254,352,880,566,617,637,502,547,593,878,919,705,415,192,006,
932,617,590,473,375,971,453,623,194,084,458,610,314,728,219,202,678,932,155,
159,462,146,706,567,564,409,442,491,562,712,124,832,362,859,474,957,343,197,
002,220,927,130,209,738,530,757,947,358,821,294,115,627,980,071,361,274,939,
207,446,831,319,384,668,104,423,408,528,702,528,229,075,661,538,829,102,696,
986,325,485,167,649,172,753,820,383,185,040,830,384,219,885,546,051,943,666,
343,319,005,114,893,404,683,595,745,685,819,145,225,088,265,875,715,207,988,
883,860,731,835,772,105,590,724,912,403,567,755,387,727,477,587,860,494,517,
316,760,519,128,685,610,557,809,100,167,396,973,208,923,437,836,014,804,850,
837,471,089,599,732,872,178,220,092,223,786,233,134,609,178,727,056,298,897,
491,621,578,523,423,260,114,406,741,391,057,769,296,083,541,184,584,020,892,
616,279,175,314,294,732,536,210,228,487,843,111,104,640,385,665,904,077,010,
073,172,855,872,626,492,111,352,934,306,629,264,388,463,541,137,039,266,987,
155,583,501,487,122,392,342,702,855,476,212,408,454,749,530,214,192,512,077,
771,629,468,844,165,555,245,939,551,331,298,731,927,693,592,382,304,238,002,
794,814,128,440,165,209,820,762,552,656,267,576,228,037,260,562,059,995,938,
758,262,391,964,875,679,156,118,845,279,320,981,208,634,417,757,404,498,023,
155,594,056,255,930,337,396,024,266,998,472,709,777,220,894,169,708,548,500,
326,616,450,541,918,182,434,397,872,169,736,590,244,065,417,028,761,416,650,
327,576,459,613,622,248,983,485,861,618,678,342,435,175,244,700,719,075,417,
073,899,543,580,788,653,573,930,442,806,833,367,249,550,663,720,198,183,337,
280,756,460,039,995,417,425,307,148,107,237,061,856,673,877,336,265,039,790,
636,062,339,740,493,170,154,855,747,761,443,453,184,162,872,827,703,041,192,
405,937,926,864,887,768,218,263,276,504,738,726,117,326,156,742,710,753,370,
915,194,756,949,633,679,463,162,681,043,004,099,438,094,116,621,879,922,637,
622,002,506,471,051,086,137,541,778,198,074,300,964,835,033,703,868,207,312,
902,862,869,881,654,682,760,716,495,020,079,735,320,934,305,176,190,489,456,
350,999,123,398,926,052,877,639,688,810,623,400,821,093,231,012,559,248,645,
754,334,595,956,259,709,880,832,120,425,116,346,500,572,320,244,234,953,635,
772,571,905,802,154,222,471,566,044,329,171,356,179,143,260,331,801,221,715,
617,757,441,866,876,684,465,606,059,253,871,305,426,182,696,872,254,243,461,
284,949,947,534,019,528,757,625,798,693,970,552,450,131,836,521,847,416,851,
655,330,221,390,378,482,746,020,422,651,591,688,313,473,918,042,666,767,310,
359,470,972,843,840,882,837,441,787,132,994,855,322,253,886,960,226,881,473,
851,616,259,098,596,355,291,462,995,312,214,182,469,032,849,056,340,334,531,
260,652,192,158,231,742,417,223,151,997,665,900,190,683,029,149,119,098,187,
047,237,201,155,591,184,757,285,510,389,969,063,720,732,385,641,391,515,020,
962,646,659,953,079,616,478,646,806,136,668,115,783,127,286,013,123,743,345,
507,849,253,809,516,193,844,381,932,464,187,518,956,530,199,138,580,837,291,
349,881,126,576,164,210,538,008,525,602,302,661,423,694,139,900,942,152,558,
868,664,704,022,098,123,973,677,111,602,817,986,558,122,883,366,534,043,975,
360,499,362,630,001,954,952,310,125,819,856,422,320,128,645,764,011,722,043,
715,449,304,781,237,520,670,430,946,188,517,362,428,769,764,391,720,133,286,
084,731,858,980,913,672,140,814,024,584,076,755,139,864,224,307,065,471,469,
252,781,368,285,963,117,928,273,371,263,663,002,725,670,909,941,090,808,594,
649,408,437,488,590,336,171,379,719,889,040,423,293,665,503,194,280,288,725,
980,439,803,003,793,255,199,170,769,544,174,337,153,509,065,350,546,183,592,
995,933,870,167,825,368,731,063,212,093,727,456,188,816,162,229,627,032,661,
687,128,866,972,863,684,662,018,945,454,335,787,835,547,062,660,629,612,333,
231,494,096,290,838,147,355,183,347,395,734,879,623,781,132,563,617,524,172,
326,302,238,917,962,495,753,375,042,786,897,788,130,484,303,412,122,202,195,
508,175,000,806,443,162,894,935,733,890,104,829,838,689,258,434,098,654,446,
121,858,210,883,456,379,815,703,602,763,351,826,034,182,497,885,019,217,080,
145,821,823,076,420,700,219,135,740,701,512,725,624,885,146,283,420,411,443,
318,346,162,778,315,540,990,577,184,486,685,551,172,060,647,577,797,160,456,
359,195,839,368,300,135,030,668,313,091,889,646,931,507,976,603,729,096,951,
485,011,529,523,056,311,169,279,621,429,108,399,388,026,987,226,461,038,319,
257,692,373,939,416,201,367,762,774,441,462,925,604,954,892,552,425,950,304,
432,256,009,683,672,364,771,195,268,246,375,734,948,626,057,148,872,155,950,
555,626,578,723,073,876,079,316,893,554,551,237,249,733,621,994,516,353,060,
838,447,065,551,491,488,457,682,137,510,486,483,525,414,723,674,161,370,699,
165,431,030,386,291,035,972,278,411,132,919,186,430,800,198,267,673,617,057,
207,900,977,390,031,648,192,988,408,637,504,357,283,392,783,989,286,308,349,
913,005,743,662,941,083,885,315,355,060,991,130,484,018,008,297,335,680,880,
716,317,969,403,852,056,259,102,819,966,684,302,000,069,408,247,437,277,503,
534,438,857,272,266,325,025,211,942,369,219,043,287,780,789,245,841,483,984,
737,235,827,935,171,497,737,761,161,784,547,903,849,103,357,871,951,649,260,
624,454,487,551,604,085,440,405,001,238,300,752,443,544,594,968,216,750,237,
898,568,184,690,651,340,530,162,629,477,522,196,764,108,106,920,634,096,082,
557,826,698,569,891,271,839,134,232,097,453,868,198,949,604,463,987,526,251,
950,884,248,241,555,644,275,024,802,977,356,829,640,674,878,913,504,942,506,
719,898,848,141,962,266,284,166,218,804,164,528,346,574,402,015,672,199,980,
674,176,703,688,592,429,807,231,915,762,684,580,777,813,725,563,714,012,128,
609,430,247,100,690,546,270,968,844,613,345,535,313,702,742,118,656,967,708,
467,523,295,174,974,812,419,634,824,616,762,135,414,369,880,338,665,682,312,
441,754,198,491,659,354,132,090,218,708,087,392,454,777,054,835,115,876,513,
711,759,465,823,535,080,153,330,959,029,781,901,734,138,337,881,745,580,062,
613,454,926,578,859,483,719,623,296,504,851,856,904,607,936,735,693,970,080,
622,054,469,457,843,947,617,227,919,705,254,824,374,754,671,816,822,654,958,
189,360,194,605,454,428,457,477,984,009,140,489,531,596,319,441,297,461,559,
362,203,015,992,817,131,644,844,604,752,216,651,481,988,482,470,242,714,599,
244,612,162,053,044,374,129,321,010,431,256,182,332,062,946,600,777,043,904,
327,658,614,525,556,383,938,788,477,015,179,539,623,972,298,643,258,543,025,
793,364,880,073,640,404,121,256,987,983,240,057,799,044,183,547,357,304,506,
875,119,282,620,302,917,730,972,252,534,631,615,458,236,738,388,839,603,084,
182,085,756,983,531,119,803,848,360,608,437,311,568,158,772,811,867,511,648,
683,749,830,265,404,193,905,866,868,226,706,984,109,440,974,665,029,414,167,
969,613,154,767,690,177,468,840,016,896,119,233,528,787,458,948,936,888,117,
469,604,492,593,241,806,799,730,188,297,269,924,262,414,658,732,962,946,584,
968,407,637,433,491,375,341,195,331,977,184,155,443,188,868,665,168,219,538,
463,565,566,195,931,558,991,464,075,839,622,530,043,212,833,081,692,680,205,
018,047,852,963,240,253,443,927,419,026,191,925,262,579,437,599,701,631,652,
729,384,637,790,289,299,157,891,216,545,947,639,389,262,523,589,674,662,660,
971,415,727,725,303,124,119,777,532,641,453,022,622,165,686,552,357,152,258,
895,850,644,326,063,945,849,511,041,897,930,720,173,915,545,714,517,722,640,
826,581,617,768,369,905,925,623,967,872,362,400,725,392,118,584,955,805,038,
421,214,668,873,863,121,459,605,172,156,928,560,473,187,494,802,849,912,221,
261,782,324,096,672,577,733,858,610,478,486,571,848,590,947,357,774,286,084,
065,807,523,892,388,362,967,644,375,573,497,406,838,478,234,524,574,897,244,
636,676,119,306,377,514,989,836,557,740,898,311,322,727,988,017,995,144,544,
228,201,681,755,054,488,520,430,740,360,392,504,465,613,519,522,877,458,386,
583,631,383,267,022,636,116,687,488,016,018,490,596,755,424,208,557,248,380,
099,277,562,645,559,441,744,218,090,980,713,830,840,832,814,981,977,282,719,
104,081,349,056,991,295,726,820,416,166,942,836,776,374,142,772,969,532,407,
987,208,626,749,071,792,076,160,793,830,545,291,579,926,297,510,356,958,725,
722,751,856,356,105,681,065,220,226,414,007,140,943,803,446,059,810,354,246,
689,686,865,069,659,621,922,122,721,945,497,334,300,244,239,945,921,863,481,
071,814,466,649,864,400,988,357,650,290,515,334,413,311,697,377,862,911,041,
163,240,308,105,807,613,420,626,033,713,301,355,147,146,426,734,251,418,481,
750,151,373,915,337,974,266,014,676,137,261,467,509,522,644,092,914,970,421,
902,725,719,936,213,006,594,688,072,584,452,513,762,811,079,454,892,636,774,
222,935,286,321,688,946,188,640,783,539,964,590,201,127,630,826,168,502,736,
953,352,182,956,520,180,658,516,662,453,990,741,627,324,590,122,145,446,226,
645,347,224,132,429,047,501,525,261,067,039,454,296,360,254,382,806,300,350,
060,214,772,417,158,826,028,089,690,525,178,255,945,010,180,210,193,156,713,
322,229,061,958,041,379,448,339,379,458,036,924,552,090,490,782,485,423,142,
282,042,719,930,498,958,964,671,813,713,219,951,971,715,214,585,777,127,897,
096,523,331,725,140,362,524,085,746,289,590,089,340,907,102,369,483,076,555,
088,540,607,342,867,137,808,296,373,041,778,554,518,690,921,708,992,786,207,
370,653,614,033,225,221,312,127,548,827,975,014,157,013,401,161,976,600,654,
535,861,184,017,130,671,372,069,042,076,426,685,763,782,291,823,141,782,877,
096,370,167,477,089,703,160,501,570,847,425,218,346,799,695,403,623,859,324,
206,208,572,948,084,221,215,633,454,920,786,972,897,394,808,981,074,132,064,
169,608,241,922,552,367,385,368,054,511,189,808,911,892,157,110,695,290,455,
399,493,922,985,805,561,160,820,194,375,771,817,896,012,842,212,449,153,194,
978,885,368,221,507,778,357,321,803,813,312,495,262,834,121,264,218,398,444,
559,356,052,749,166,288,131,508,066,910,406,592,061,771,634,557,599,898,845,
452,152,402,872,684,350,040,248,728,621,223,960,090,877,795,164,243,659,257,
022,413,171,969,107,927,601,927,051,418,716,251,530,574,620,833,176,490,299,
301,850,146,727,472,544,502,256,711,252,892,705,588,580,886,064,592,876,207,
266,739,394,536,840,007,202,822,648,596,511,217,508,953,420,262,822,758,984,
287,072,157,942,822,483,040,394,545,313,055,149,655,668,025,207,380,357,674,
848,616,694,146,930,071,124,644,678,682,890,806,714,007,032,925,394,004,444,
157,713,301,238,553,887,801,294,416,322,489,817,362,299,918,475,063,277,221,
817,535,878,812,757,588,085,175,935,464,291,014,707,391,025,893,566,720,139,
644,375,968,673,816,960,610,981,402,496,206,062,493,410,821,213,886,967,320,
521,156,949,931,133,215,513,432,775,292,010,859,527,250,365,319,342,787,125,
044,035,943,088,239,088,571,063,493,222,564,352,704,856,256,678,011,338,057,
616,614,422,958,505,542,357,590,980,853,452,910,303,888,863,392,824,948,539,
144,696,207,295,803,785,184,794,085,819,290,348,625,747,082,448,369,455,407,
003,361,413,274,526,488,504,433,185,291,634,547,394,885,473,080,699,948,915,
465,586,164,720,338,716,771,708,874,078,380,296,621,230,890,443,224,658,464,
573,721,090,540,110,675,067,686,779,893,115,008,837,862,375,778,729,788,207,
356,719,215,126,277,669,787,087,359,008,003,602,406,124,757,083,937,041,853,
033,196,226,260,595,013,218,470,985,958,055,851,329,522,166,385,997,935,244,
242,471,507,967,321,108,165,655,350,940,351,399,306,563,476,267,581,110,562,
938,107,858,764,432,075,104,240,739,347,090,796,003,708,735,850,253,392,613,
376,076,490,879,945,635,713,378,382,655,626,642,546,123,315,287,108,954,483,
179,071,236,100,413,118,409,889,810,422,832,232,354,341,943,477,552,794,887,
923,053,739,998,295,963,184,299,578,938,971,722,130,279,534,436,258,114,874,
247,481,656,095,788,265,580,414,287,085,653,877,792,441,183,914,867,884,252,
115,714,776,853,739,947,113,930,803,363,259,419,866,086,110,155,409,236,995,
313,220,464,052,448,546,766,676,948,911,769,359,860,459,592,618,798,468,077,
298,088,602,159,374,963,248,818,585,897,012,705,087,215,024,419,074,542,841,
250,222,617,187,594,436,976,915,381,409,020,935,077,952,018,142,974,192,692,
992,417,716,979,425,128,049,963,853,395,567,567,001,908,437,049,450,535,685,
968,833,839,295,957,802,942,139,864,700,459,771,194,830,851,915,929,096,267,
403,781,428,927,033,678,129,033,260,511,923,311,198,667,695,764,922,020,347,
097,303,066,315,196,534,388,522,352,959,626,405,715,704,436,044,864,884,173,
750,465,930,141,198,636,040,289,613,342,431,999,768,516,209,078,964,905,421,
271,066,151,920,545,789,851,893,038,475,321,000,754,244,341,346,783,974,936,
131,059,660,982,147,072,619,109,614,286,412,922,512,367,347,407,415,135,821,
776,977,337,663,001,129,635,825,486,725,129,549,296,329,328,511,241,222,818,
560,621,711,324,616,978,119,887,695,770,573,269,937,835,079,885,482,391,519,
662,146,493,224,805,340,675,261,705,876,156,195,345,153,804,510,020,262,917,
917,558,377,691,521,162,317,872,228,494,858,752,844,369,461,400,716,985,220,
507,113,838,428,980,782,088,170,321,847,649,577,142,222,913,123,246,143,769,
628,014,511,324,405,570,990,849,222,949,914,357,960,850,320,150,053,502,478,
095,172,196,458,366,018,222,497,895,911,757,008,028,730,073,768,002,863,920,
747,232,393,511,415,863,188,958,867,974,887,151,247,580,303,510,879,543,959,
722,168,653,036,637,235,713,054,397,439,383,321,989,734,906,112,356,303,182,
386,218,155,266,317,878,527,707,654,099,420,218,018,270,704,814,444,175,807,
464,961,503,064,321,512,749,330,308,724,164,869,427,859,991,057,019,275,396,
292,410,802,372,819,749,861,571,254,219,598,177,804,637,719,860,083,641,365,
202,290,540,286,001,930,108,009,818,198,349,627,238,611,728,409,510,744,171,
473,626,654,689,910,798,114,582,308,875,591,824,567,767,922,744,106,249,741,
270,576,730,357,941,683,030,733,486,472,505,340,719,369,667,345,279,768,742,
029,414,965,213,031,251,333,956,390,541,097,028,260,748,793,856,092,019,868,
493,784,214,069,279,300,840,821,548,079,601,927,401,595,342,718,131,223,883,
838,922,900,399,332,115,863,530,719,765,575,352,365,697,204,369,243,225,356,
156,766,691,975,935,018,287,548,883,230,838,016,537,140,204,509,943,960,487,
428,944,135,068,681,818,094,338,188,578,563,012,364,588,253,732,241,696,478,
492,752,185,186,593,736,267,289,530,078,985,890,569,839,550,599,318,817,582,
336,031,947,647,189,683,414,219,264,942,065,817,251,456,773,858,613,094,269,
438,619,270,680,329,443,763,695,969,682,445,623,120,043,526,861,957,055,879,
434,805,220,632,890,691,502,090,107,078,027,068,213,247,189,629,027,894,556,
031,011,220,018,063,588,725,853,682,125,239,393,245,219,540,046,344,686,698,
474,985,189,770,389,739,822,452,886,047,695,662,868,178,717,411,878,454,961,
842,959,672,919,762,057,276,368,030,387,979,193,633,410,559,460,365,263,144,
978,872,266,083,706,343,937,121,310,821,484,219,904,730,315,131,674,158,968,
673,818,458,188,089,274,445,766,837,165,929,507,556,146,235,999,854,617,968,
772,293,181,933,417,705,582,409,060,893,801,958,434,054,347,569,707,266,313,
916,951,007,478,719,119,544,333,068,288,094,557,925,132,866,348,415,786,548,
962,827,042,279,454,053,377,194,853,114,762,810,411,460,974,301,821,265,874,
000,663,454,473,000,155,826,013,919,930,476,457,175,535,980,888,940,619,340,
601,968,460,616,817,245,275,965,369,104,110,412,500,196,673,941,737,389,456,
829,026,167,606,496,381,681,306,849,424,413,454,429,913,598,606,354,461,799,
055,212,854,965,785,688,989,604,790,138,990,627,567,768,054,436,646,890,152,
629,993,664,916,326,724,562,825,500,277,528,961,933,866,917,262,185,912,123,
329,525,142,579,786,686,814,738,968,902,298,935,733,849,674,556,585,077,485,
876,261,666,563,655,151,198,238,687,289,572,596,377,963,635,406,698,569,162,
282,007,498,928,864,185,498,849,870,145,585,811,903,985,399,213,653,975,086,
629,159,130,337,262,385,305,025,460,425,712,236,598,078,519,468,835,727,798,
340,361,299,184,807,513,911,784,034,609,869,365,940,445,823,186,485,797,271,
997,694,182,169,697,263,024,162,801,114,755,414,032,116,423,281,759,082,882,
756,130,959,812,877,301,002,817,425,356,738,693,879,137,990,132,590,427,827,
803,104,505,051,547,806,120,067,359,631,079,565,947,485,690,980,593,167,420,
269,359,281,705,656,390,407,283,617,509,051,941,079,203,593,248,173,636,772,
035,978,108,981,688,621,414,315,493,662,248,910,188,828,147,189,395,685,859,
053,958,982,609,004,272,102,430,464,119,907,996,096,365,535,616,574,511,152,
918,010,751,027,961,694,100,033,768,252,577,438,674,109,046,829,061,294,873,
482,796,889,204,869,236,058,592,058,929,821,073,749,304,776,526,752,202,632,
816,227,974,706,954,525,358,170,066,121,421,688,669,363,216,799,752,532,987,
158,032,129,508,964,496,920,027,655,829,163,945,508,483,583,525,923,608,621,
159,896,541,910,185,591,242,889,536,290,953,888,512,495,200,685,737,033,759,
295,851,904,395,374,970,804,731,685,123,848,770,290,773,287,558,504,002,885,
459,603,124,803,661,556,798,644,678,251,804,863,160,272,291,078,144,656,152,
673,415,171,994,271,920,796,139,443,729,735,935,276,778,387,435,073,642,437,
690,541,930,170,069,955,468,503,271,894,586,510,545,118,710,212,908,215,079,
656,599,639,383,259,320,494,670,691,336,237,889,118,337,563,550,240,575,568,
304,754,724,598,266,375,609,195,074,724,727,116,440,359,502,073,643,618,723,
248,420,568,043,805,966,736,481,469,901,096,009,850,104,436,224,944,796,182,
329,530,997,505,232,274,044,136,733,791,986,993,535,213,689,441,412,488,481,
381,110,600,103,822,423,367,846,979,256,877,389,539,337,558,850,990,154,869,
498,115,705,826,370,662,626,758,397,547,668,221,457,687,275,071,004,603,474,
291,722,630,883,354,454,468,894,138,970,896,853,363,535,998,958,358,090,879,
433,096,613,609,227,944,999,625,666,860,421,508,918,198,236,251,136,491,347,
782,499,374,897,947,319,267,241,184,284,314,152,131,267,469,624,714,254,483,
240,216,685,842,879,570,977,281,303,460,692,820,583,507,300,129,697,268,904,
172,798,323,809,075,720,637,761,723,407,207,972,890,965,555,215,877,484,685,
918,999,457,195,569,014,443,942,068,607,722,293,490,766,823,933,470,167,742,
835,782,632,389,647,741,966,884,455,137,014,842,191,012,573,747,126,844,825,
520,257,470,309,420,281,403,237,310,091,907,429,243,675,459,716,982,003,044,
735,446,564,644,241,953,555,320,571,121,415,736,081,584,309,608,177,227,325,
247,351,611,325,924,662,773,972,871,233,405,696,244,654,746,697,688,562,412,
948,729,685,713,856,649,255,848,295,309,319,780,879,691,795,701,464,289,514,
463,256,066,614,990,518,892,612,938,223,976,329,488,958,603,001,636,431,347,
378,829,338,205,386,063,511,669,491,274,332,752,072,770,870,873,918,464,126,
204,145,930,390,487,313,336,303,898,981,569,980,972,766,851,912,921,440,643,
433,724,803,607,884,662,834,983,828,916,380,754,743,349,772,237,181,907,477,
945,365,623,407,243,994,236,415,027,267,144,583,708,080,570,809,833,244,982,
529,853,007,314,020,456,915,907,315,085,042,265,386,496,198,032,160,401,576,
154,984,026,924,438,540,735,825,191,920,229,205,487,531,949,779,612,694,148,
758,185,935,903,434,999,237,522,449,269,904,117,080,790,775,131,043,650,302,
207,218,593,018,702,388,778,567,994,176,078,401,947,906,388,250,401,684,757,
986,985,216,132,099,050,726,477,110,330,766,043,788,585,594,489,018,634,094,
611,537,973,104,724,913,599,760,664,469,196,238,864,394,337,024,720,211,627,
574,405,711,179,248,646,878,778,435,123,120,913,979,948,029,828,399,856,815,
073,917,833,861,320,406,038,141,311,929,908,183,185,318,923,135,102,629,908,
276,102,818,641,939,032,818,929,407,621,030,463,979,863,756,729,196,003,003,
469,275,414,273,645,999,270,725,964,885,674,553,114,141,016,876,330,362,256,
135,856,081,865,176,739,794,251,308,717,716,141,436,444,836,085,516,139,608,
528,135,623,145,297,471,444,231,103,847,241,509,106,159,507,166,455,839,526,
521,804,106,766,738,060,139,057,382,945,777,689,916,707,991,210,298,220,244,
381,886,340,019,555,773,910,735,059,936,031,328,219,800,798,136,702,821,542,
281,396,416,721,157,578,641,347,590,891,995,022,712,686,591,402,339,757,906,
302,712,821,459,209,301,592,686,282,805,948,436,797,565,654,451,237,662,188,
796,194,749,390,072,616,204,375,377,654,860,659,489,761,677,014,593,941,678,
313,733,409,730,210,852,186,576,122,514,601,132,615,447,035,971,696,389,800,
546,620,308,121,860,759,571,613,333,201,046,374,799,727,081,739,743,560,294,
213,318,625,852,625,706,054,147,372,863,381,872,766,998,643,729,415,171,289,
250,559,383,790,231,571,567,674,441,826,673,144,458,492,047,542,964,444,450,
797,400,134,959,755,745,620,443,916,787,814,164,980,229,837,414,229,738,481,
449,157,759,808,152,260,315,463,922,261,607,804,366,900,229,237,380,189,493,
392,249,196,487,975,169,030,692,283,369,305,372,409,294,693,767,936,109,677,
312,624,052,105,579,484,390,346,939,979,391,272,856,035,474,680,847,014,878,
628,290,130,338,817,537,213,480,872,363,563,520,555,398,577,795,773,546,225,
691,702,581,044,426,099,811,160,885,439,174,247,767,043,579,569,756,373,687,
144,731,949,364,310,360,057,440,670,218,090,944,866,297,863,569,988,214,918,
045,634,015,049,999,472,193,582,714,984,861,980,056,673,500,327,620,533,630,
296,966,480,584,471,322,953,135,232,803,102,606,653,992,345,001,759,800,419,
156,542,583,916,464,682,567,235,243,659,140,895,111,687,341,059,230,026,490,
899,566,329,615,758,130,714,592,927,631,813,390,620,706,763,206,039,941,826,
786,225,866,492,800,354,877,668,623,676,729,082,765,899,077,638,123,607,227,
792,047,479,621,426,863,046,297,637,228,651,229,911,608,329,960,634,189,557,
740,148,047,078,157,695,986,177,451,707,154,457,248,125,896,168,463,892,751,
419,689,389,084,072,460,438,322,453,399,980,273,351,392,517,118,283,727,224,
483,053,983,089,285,809,269,826,223,631,970,826,808,481,736,800,539,292,477,
109,338,037,672,159,888,594,130,341,528,389,507,058,645,894,554,398,409,620,
440,812,495,531,134,000,742,337,899,785,697,383,395,002,174,180,882,025,643,
471,388,870,497,138,554,310,429,071,954,457,398,531,820,120,573,470,833,208,
498,146,150,157,399,742,144,773,043,274,556,813,628,520,703,846,823,224,695,
087,347,594,940,854,151,934,514,503,441,810,766,220,146,392,787,956,040,460,
463,237,013,238,334,042,511,426,995,783,349,958,102,112,254,306,368,526,926,
047,891,039,503,653,220,830,434,349,116,564,393,844,713,742,617,745,225,217,
934,462,328,252,510,152,956,159,102,907,889,327,360,757,169,986,044,419,900,
877,647,962,817,003,499,151,120,729,527,452,330,187,458,283,712,534,438,768,
696,598,201,301,773,649,854,862,403,117,427,374,862,214,228,518,451,775,662,
431,645,433,314,020,479,396,663,316,823,336,575,021,218,886,154,914,331,133,
006,315,378,307,127,471,501,069,309,135,872,809,466,783,306,767,168,776,748,
335,600,340,187,648,737,483,597,356,518,816,381,456,484,080,432,163,087,555,
622,326,251,094,282,966,872,796,761,526,021,039,295,895,323,118,502,133,107,
408,975,974,483,367,268,946,460,585,011,242,712,840,348,981,149,133,365,217,
989,688,012,058,085,753,452,267,435,975,280,652,411,424,907,421,247,505,247,
377,343,574,238,233,266,964,449,339,207,604,453,571,283,666,719,566,882,261,
368,379,689,789,921,192,186,478,390,525,948,696,532,470,163,669,726,773,643,
099,911,910,922,630,412,211,185,698,250,306,415,587,652,176,643,181,461,163,
707,333,645,989,112,776,262,524,474,463,176,339,372,087,774,616,997,900,431,
914,473,157,332,259,058,120,401,690,691,804,462,207,373,363,627,748,112,998,
356,135,550,424,880,183,995,938,845,150,497,141,021,776,448,387,662,230,934,
462,098,965,766,163,759,523,596,278,834,443,151,274,910,271,123,747,371,760,
658,320,236,308,184,490,578,811,175,977,551,918,705,923,746,267,398,961,707,
722,434,970,218,298,921,376,348,587,451,754,364,493,250,727,648,818,629,259,
067,549,333,287,780,835,876,594,094,003,302,378,330,456,151,981,207,456,956,
013,397,778,703,938,056,344,306,317,563,720,052,305,264,420,566,645,194,502,
706,877,423,198,429,468,157,909,728,672,953,819,130,635,895,586,572,951,471,
616,757,451,620,271,631,025,029,400,546,605,370,936,027,032,780,722,156,736,
573,636,859,069,988,813,926,144,396,945,514,901,585,335,470,032,518,831,473,
964,420,525,059,219,243,276,002,651,242,977,288,522,409,325,567,113,078,771,
336,766,956,050,807,559,761,288,167,439,818,203,859,737,329,329,125,037,185,
823,578,732,009,487,201,897,655,938,623,467,524,973,983,673,011,528,614,171,
660,416,093,525,947,640,518,560,706,247,839,922,751,914,497,755,780,733,736,
068,353,516,617,932,245,324,858,122,394,945,462,999,744,312,591,766,544,077,
436,246,455,461,351,464,328,634,864,909,875,501,806,756,304,428,514,433,927,
969,850,488,119,909,548,140,122,685,441,459,105,361,412,091,915,292,585,282,
103,154,184,249,497,470,282,574,776,960,870,833,234,257,998,641,884,303,743,
888,420,203,757,428,360,212,945,550,820,805,849,874,679,781,808,234,431,602,
364,743,338,512,849,272,458,335,136,235,050,999,809,915,367,318,940,494,520,
597,911,941,700,131,322,686,785,220,240,567,780,922,549,759,904,237,047,382,
752,335,437,329,515,216,099,723,279,228,734,940,998,789,100,894,960,944,577,
723,310,862,858,201,838,506,988,220,899,760,108,484,159,124,312,989,674,822,
677,562,225,997,592,618,457,556,670,523,744,509,734,788,921,039,388,243,264,
378,258,407,770,285,233,125,061,793,382,611,398,569,857,483,892,905,219,468,
608,529,270,944,620,650,425,013,496,460,760,962,462,728,489,735,174,435,411,
586,312,186,325,909,841,448,263,116,195,715,141,016,346,594,213,988,724,072,
788,032,114,902,431,306,516,246,903,651,666,674,442,323,246,122,283,114,797,
682,715,939,338,465,989,198,986,257,116,183,732,304,085,878,780,319,579,264,
227,348,901,470,222,882,980,244,625,153,433,127,397,120,511,585,690,274,380,
681,763,637,577,487,798,648,625,261,389,176,641,794,958,453,464,843,161,747,
642,775,712,308,761,985,761,261,741,526,195,199,115,515,530,789,721,849,752,
662,185,279,279,892,319,176,376,881,910,973,459,064,652,393,362,890,787,357,
232,412,577,760,316,475,274,906,101,338,957,003,437,378,208,650,673,801,298,
030,937,123,855,545,569,524,797,950,471,137,312,140,020,495,430,401,556,193,
553,282,595,142,893,879,729,372,949,369,734,124,115,881,932,334,383,314,790,
837,119,684,339,343,839,014,232,307,991,087,022,520,427,817,657,175,514,432,
700,255,642,564,459,094,955,903,689,259,447,426,130,552,774,762,985,583,589,
229,992,279,944,654,848,784,271,440,074,530,534,843,104,188,705,254,897,427,
913,116,294,539,223,275,105,179,236,613,368,321,829,105,702,280,568,736,148,
930,861,847,161,075,859,725,962,636,460,261,969,631,127,123,106,655,199,390,
672,320,869,769,970,415,785,110,356,881,950,234,396,425,973,889,209,668,537,
927,916,252,729,577,689,800,247,338,972,590,269,551,144,275,345,479,675,655,
431,353,213,220,511,255,096,049,542,865,105,162,824,051,591,153,665,088,944,
668,015,941,341,396,296,917,478,707,289,366,713,910,342,948,648,371,414,081,
464,295,500,999,647,306,737,644,360,360,142,387,671,911,347,966,323,291,641,
590,963,541,679,092,358,693,510,758,624,100,496,836,594,293,292,279,983,232,
537,804,183,175,999,039,785,817,187,790,825,980,924,873,330,581,952,073,598,
157,224,612,415,985,410,513,314,081,682,103,127,780,935,099,353,262,939,201,
763,350,636,633,419,132,239,911,467,019,796,907,267,780,435,606,640,943,892,
997,626,119,365,312,611,023,804,495,984,144,234,261,178,651,868,925,060,686,
865,472,124,361,262,848,871,776,147,019,681,885,856,752,916,265,464,367,357,
168,655,617,867,896,073,144,553,920,638,667,646,104,655,128,978,918,316,732,
822,012,692,148,069,130,244,079,389,223,791,720,010,367,004,582,503,520,790,
088,146,811,881,858,368,992,440,802,423,165,337,355,504,846,127,210,483,090,
292,821,026,440,969,955,344,528,782,508,881,647,928,118,008,137,063,594,518,
161,150,043,435,878,876,566,839,415,834,363,892,115,135,865,604,369,370,431,
847,431,991,727,028,761,887,403,901,564,169,601,516,497,389,308,350,678,171,
187,039,559,561,553,562,203,984,969,006,467,573,936,913,852,841,847,033,330,
763,039,208,732,460,391,291,400,713,385,490,788,563,362,500,102,877,270,634,
400,159,821,158,983,875,130,973,012,896,638,557,409,427,934,070,980,328,546,
602,973,006,948,976,413,446,693,004,680,487,255,724,444,380,647,689,953,306,
311,907,633,714,688,789,719,519,087,346,808,549,712,153,333,831,630,403,530,
272,051,150,793,646,918,149,025,468,130,750,812,423,620,737,277,189,952,993,
505,967,457,790,420,964,250,745,119,890,109,170,159,759,420,325,334,508,517,
469,047,125,216,483,719,835,417,773,627,287,202,052,770,378,914,000,450,953,
834,778,278,729,283,995,221,399,882,037,868,122,341,896,601,771,921,092,253,
361,519,297,932,942,834,234,313,818,522,098,401,233,601,965,203,316,762,061,
833,825,977,503,954,430,796,907,158,104,309,029,730,578,281,941,013,845,590,
671,355,257,600,516,811,065,328,010,436,850,196,447,203,715,212,458,315,187,
231,255,343,926,975,385,382,129,563,330,453,235,800,714,345,513,597,010,697,
709,940,702,241,528,328,208,384,807,670,157,354,812,764,126,677,288,369,615,
880,334,223,115,512,777,475,966,652,615,314,937,797,568,376,917,010,027,725,
009,566,621,496,962,821,239,657,672,581,760,399,120,401,954,034,754,983,093,
179,856,956,770,291,338,128,055,326,908,804,494,453,963,376,553,552,360,316,
329,230,469,336,284,440,767,240,504,975,329,275,394,555,666,698,890,864,548,
740,536,421,482,073,481,704,755,399,959,343,830,759,157,736,567,005,074,049,
571,632,742,213,434,925,373,803,893,698,533,455,863,470,252,344,722,115,534,
806,567,962,159,349,499,258,213,529,464,444,321,985,072,592,577,165,600,983,
825,494,874,892,125,581,125,086,489,662,405,353,991,492,468,925,961,775,967,
425,802,422,742,183,713,434,939,999,598,969,302,057,936,118,070,530,923,067,
777,687,979,996,588,049,418,500,106,133,814,370,348,505,728,388,930,306,735,
720,912,596,860,365,570,334,147,459,636,352,593,077,102,142,329,262,858,275,
234,080,917,650,905,749,556,047,515,471,562,943,093,854,628,175,063,757,986,
665,797,324,919,229,594,405,954,946,150,671,431,462,025,923,996,740,236,906,
282,882,786,644,923,352,245,618,114,598,113,788,572,484,512,875,657,376,217,
990,147,726,144,690,366,139,084,581,784,405,283,617,870,245,006,719,730,508,
400,438,727,736,861,171,882,500,630,270,292,261,466,247,800,493,510,405,603,
898,874,202,896,330,072,304,763,303,102,766,890,714,524,384,312,699,826,894,
185,869,657,495,607,949,997,866,973,268,069,092,934,777,768,845,932,992,038,
913,709,374,895,624,719,725,391,427,037,905,490,622,823,656,551,770,499,419,
062,306,937,558,331,224,079,816,216,286,196,313,748,095,342,052,618,163,918,
455,928,045,589,161,464,306,047,584,672,236,147,643,105,453,024,561,836,803,
007,589,930,717,778,695,429,988,263,534,641,280,440,432,076,909,871,544,845,
172,381,556,143,933,677,298,159,645,134,189,909,284,389,704,371,896,544,839,
654,771,333,753,487,308,337,938,902,350,223,474,261,652,686,556,163,221,088,
063,386,391,623,494,028,062,890,803,054,651,838,982,916,622,995,401,358,210,
131,857,364,488,387,334,613,921,620,395,466,650,152,027,710,787,206,004,709,
182,245,556,114,653,510,916,322,072,047,148,739,316,360,348,824,537,097,614,
000,937,261,496,536,488,651,730,414,236,116,731,913,325,515,323,352,672,394,
085,146,388,153,692,896,693,837,753,696,347,458,343,115,148,481,075,312,444,
400,465,625,051,933,829,545,830,365,706,650,722,196,888,286,105,557,417,950,
120,515,451,624,673,047,878,503,384,576,984,556,262,524,102,904,386,265,617,
254,409,095,323,104,636,509,932,176,655,376,028,279,727,354,641,706,350,249,
063,670,544,599,501,299,791,049,902,152,536,748,557,717,512,216,857,768,527,
832,580,555,733,126,941,717,874,838,544,614,277,683,266,853,773,341,332,695,
398,478,327,459,683,862,725,416,564,732,712,450,010,769,522,973,546,629,919,
569,312,590,910,132,744,029,698,690,857,498,424,284,723,916,134,776,237,029,
250,422,379,140,719,258,079,627,316,141,954,462,495,842,043,946,791,315,141,
186,762,940,572,250,081,637,794,005,514,550,094,965,188,953,576,158,066,259,
935,935,024,515,134,291,904,481,844,504,043,802,788,177,753,077,465,261,781,
905,704,661,389,798,066,366,324,718,874,730,788,554,271,662,597,477,706,198,
541,488,738,370,971,653,844,461,653,958,473,010,775,679,810,596,510,937,988,
231,217,261,523,912,991,057,847,371,567,946,380,015,009,105,303,602,209,415,
361,485,385,078,500,965,502,266,090,899,813,176,214,719,621,407,876,250,058,
180,849,383,105,593,215,258,759,860,981,845,326,195,031,178,263,083,084,978,
180,906,060,469,700,045,627,331,526,600,565,605,983,359,111,544,084,385,372,
402,491,717,026,638,039,195,221,147,607,733,686,554,831,906,113,680,992,118,
616,026,012,249,480,994,978,818,082,552,339,833,221,550,906,287,579,605,799,
631,587,093,359,896,363,530,878,692,813,647,421,907,403,785,932,884,655,397,
007,452,909,893,418,070,253,288,494,431,080,300,216,565,881,219,723,480,357,
812,953,666,392,688,985,574,654,394,097,980,928,635,470,454,255,704,816,982,
998,404,329,655,926,596,374,283,433,459,397,483,877,496,155,100,211,886,882,
651,478,376,268,363,248,673,437,085,816,251,821,825,217,633,004,942,267,705,
420,408,631,173,613,954,625,752,630,121,705,097,536,532,344,348,944,274,299,
425,085,901,597,528,486,194,431,552,521,381,849,937,041,859,045,430,021,348,
046,964,478,725,979,342,936,635,143,897,108,608,992,647,596,305,477,434,043,
936,808,709,489,711,553,570,005,012,886,719,026,833,523,309,948,794,845,330,
336,618,510,720,209,418,621,302,159,256,712,549,689,073,251,123,083,242,775,
603,983,069,436,114,904,533,811,465,204,289,895,915,319,784,033,805,021,177,
886,821,823,377,196,265,433,768,620,296,989,573,768,644,641,046,275,042,784,
294,362,285,131,872,408,206,014,255,955,479,061,932,336,542,191,276,942,780,
526,797,293,052,262,512,256,406,538,119,147,331,784,351,258,703,503,667,031,
762,559,807,285,867,163,936,768,146,977,012,895,452,886,313,557,658,573,172,
375,846,372,462,177,313,791,251,589,403,432,909,824,497,113,330,496,450,009,
069,357,698,136,420,769,346,888,791,156,834,822,552,675,471,532,846,345,972,
817,662,082,322,081,825,025,618,788,280,161,291,564,221,254,250,345,938,796,
597,288,526,691,092,421,242,335,241,315,162,982,919,022,563,247,681,581,094,
389,883,151,883,065,747,896,405,083,831,683,413,899,501,700,605,599,518,196,
156,826,816,547,887,639,428,538,965,971,828,624,942,816,426,777,660,351,045,
211,680,812,199,506,822,374,793,448,172,339,662,758,514,895,843,205,654,879,
747,529,649,925,858,150,000,804,455,432,810,811,948,376,945,054,767,432,546,
830,331,901,781,367,288,003,420,254,320,528,712,752,021,582,381,373,722,680,
109,978,087,746,616,206,016,694,996,813,906,372,331,545,710,187,622,680,386,
256,474,836,633,846,220,613,029,658,787,552,362,828,313,191,508,560,438,908,
782,839,971,205,311,343,021,447,656,877,250,158,488,096,667,818,481,557,163,
609,176,115,325,578,881,267,092,533,966,695,238,595,523,756,795,403,293,385,
943,063,580,263,865,215,636,457,395,624,278,831,514,129,141,385,199,468,858,
468,844,286,220,728,376,640,953,691,921,529,753,672,654,878,207,625,164,823,
866,136,128,988,922,230,673,587,539,205,149,630,239,330,295,691,474,601,636,
498,130,285,738,662,928,879,465,815,004,576,773,210,406,339,661,543,967,580,
026,413,456,753,748,043,482,885,988,528,095,093,176,405,805,341,496,620,063,
991,321,015,796,778,183,075,635,206,238,383,159,921,192,232,179,369,570,145,
060,244,926,602,685,175,767,748,108,482,849,465,865,715,212,360,434,334,300,
694,599,571,361,095,201,633,161,178,734,452,167,904,740,400,276,101,320,612,
116,037,796,143,055,686,193,511,636,221,189,006,915,421,027,471,927,971,344,
951,809,139,890,860,504,572,784,975,096,589,969,729,761,513,015,486,545,947,
080,755,938,955,441,014,929,541,877,136,559,651,139,269,738,076,056,700,304,
587,797,804,935,328,833,569,287,717,324,727,008,137,833,116,414,742,210,698,
345,718,889,065,345,745,028,235,534,272,302,480,986,120,353,168,957,517,781,
702,775,480,739,085,453,314,011,611,733,861,253,714,414,320,324,201,545,935,
423,941,118,089,066,916,536,355,768,533,605,352,361,051,637,408,113,303,852,
203,586,906,647,344,809,048,028,505,236,391,327,237,801,888,166,366,689,465,
499,052,666,245,114,179,266,194,094,500,670,534,414,309,606,428,101,593,480,
157,982,769,357,533,493,987,899,323,043,872,470,326,958,664,056,487,946,692,
410,313,372,550,858,505,899,066,139,502,809,132,015,363,263,874,626,041,294,
779,597,100,429,080,209,140,600,355,009,096,819,648,091,134,959,791,693,752,
742,485,689,803,375,450,721,962,003,003,116,409,136,772,914,124,232,610,604,
755,918,550,314,245,855,767,074,934,516,067,205,495,192,798,601,083,189,444,
547,731,668,307,992,905,408,859,131,605,438,471,433,312,589,727,159,205,204,
718,553,677,357,943,660,022,981,311,266,058,956,003,915,831,921,845,764,624,
459,267,692,843,381,627,796,436,080,471,988,744,972,682,783,281,784,149,953,
249,497,421,388,614,420,976,725,413,679,370,420,854,752,663,865,095,836,243,
264,272,859,076,194,020,694,656,552,567,071,776,764,783,546,297,606,079,803,
893,278,591,422,672,164,611,018,837,364,121,814,379,890,024,966,763,551,096,
080,232,676,388,883,333,833,169,286,578,804,552,424,068,911,188,458,439,578,
870,631,785,444,814,765,715,662,660,103,203,893,624,299,678,034,330,403,818,
117,576,211,416,272,398,268,019,554,132,614,661,531,687,647,551,861,356,204,
438,823,950,028,629,876,432,011,138,908,480,512,381,072,489,477,352,537,948,
269,959,707,829,882,793,337,888,985,660,112,259,066,742,636,228,742,898,704,
183,758,205,853,828,323,650,145,376,340,047,502,217,304,681,373,416,785,538,
458,234,101,415,644,592,460,049,843,139,658,319,502,096,751,213,115,869,211,
724,509,810,483,602,480,800,634,467,933,065,455,325,659,279,920,971,845,129,
733,131,199,747,395,384,262,838,703,720,298,445,668,810,097,242,525,110,107,
053,009,928,905,420,870,817,785,110,756,995,397,489,282,906,395,262,244,555,
121,989,287,548,590,394,913,221,006,043,000,423,684,237,554,340,116,404,490,
012,857,647,455,439,321,090,220,268,613,979,096,040,493,041,389,071,569,765,
231,846,120,779,380,939,152,396,071,673,615,051,942,806,659,825,309,090,681,
208,254,620,177,103,490,649,920,854,400,616,014,942,269,713,150,792,462,445,
020,257,819,372,961,587,230,416,790,759,841,865,079,743,162,018,158,582,993,
289,256,204,592,232,978,641,830,977,263,040,091,050,011,694,617,141,671,364,
116,587,896,945,875,179,716,678,747,269,520,783,144,022,974,706,777,522,358,
587,405,206,192,776,494,482,892,049,754,509,255,307,839,040,441,315,540,067,
969,167,075,817,139,011,188,399,678,406,206,622,521,269,938,663,690,648,388,
028,444,328,658,662,713,106,120,781,990,657,329,113,070,724,662,078,889,295,
635,077,586,988,054,043,055,552,627,441,052,706,426,420,020,221,111,623,651,
689,543,489,711,487,191,159,650,193,993,920,536,700,331,853,940,101,086,103,
169,508,793,525,148,403,988,336,684,160,796,801,405,434,786,905,017,594,158,
199,018,714,003,314,154,357,152,325,664,369,688,102,909,254,914,125,425,754,
557,914,513,313,222,348,821,025,914,585,595,813,159,756,241,151,880,675,981,
555,291,697,463,380,698,946,650,035,458,779,880,731,091,896,347,107,714,549,
311,593,875,495,334,059,140,266,395,539,753,619,079,319,991,793,840,049,325,
418,408,533,514,317,027,143,070,823,426,614,052,094,206,272,158,901,872,979,
296,242,560,962,039,440,826,447,061,743,533,712,090,071,944,819,669,198,132,
586,308,969,207,355,350,113,753,339,396,100,474,455,171,495,385,568,039,894,
129,466,973,280,458,890,780,206,780,300,447,313,325,289,250,831,569,431,200,
180,189,105,799,421,263,014,052,113,903,242,851,715,240,213,942,827,533,130,
992,746,617,032,767,536,538,136,296,016,664,208,844,935,958,525,089,452,702,
156,142,369,425,397,622,952,743,812,579,578,895,233,824,341,003,013,860,608,
894,600,439,573,169,318,573,393,748,526,779,193,582,977,754,154,016,134,408,
654,119,959,446,214,479,742,921,172,658,887,651,941,132,902,828,250,463,931,
311,293,300,559,090,311,308,647,995,870,887,990,057,810,463,214,882,758,309,
154,650,841,757,028,298,258,088,096,904,125,387,884,737,166,038,970,704,029,
366,678,083,449,305,340,064,100,206,117,182,742,818,730,461,412,545,611,704,
606,876,514,736,668,970,457,894,446,554,562,867,726,004,698,215,079,392,129,
681,493,737,877,466,679,746,896,418,211,204,296,262,141,941,467,662,830,631,
779,138,275,221,408,437,728,224,965,347,561,240,272,425,246,432,738,008,962,
693,460,340,832,597,834,575,716,682,921,472,725,033,056,506,840,252,231,631,
296,998,940,629,181,040,104,190,342,717,685,063,254,227,108,977,986,305,401,
429,049,374,466,864,062,616,218,845,282,941,450,969,352,074,100,285,509,872,
928,389,902,991,850,408,018,361,744,850,566,683,743,136,849,540,407,105,069,
621,354,527,621,052,437,005,149,628,565,730,450,102,369,130,916,715,335,726,
102,711,508,099,559,228,445,400,346,014,669,483,331,894,906,287,128,754,993,
916,627,509,698,449,466,048,727,003,993,093,613,833,487,090,531,115,866,444,
741,431,455,744,354,724,521,413,735,228,476,774,132,253,397,009,173,367,152,
778,832,439,949,614,473,759,051,666,136,811,779,897,967,710,536,901,495,328,
264,703,222,261,228,072,928,882,317,781,149,832,207,794,517,458,473,342,834,
955,294,779,481,219,801,246,160,901,503,037,599,039,290,744,865,016,359,477,
293,198,246,776,197,848,250,042,524,732,050,340,750,171,078,870,950,007,482,
047,702,772,147,011,469,001,155,652,168,422,851,097,274,018,247,148,421,454,
131,027,919,366,425,303,407,632,186,029,058,155,461,930,127,133,008,355,046,
301,413,908,842,475,392,531,565,985,330,094,765,683,982,852,937,758,481,445,
082,052,315,896,667,631,341,989,954,688,862,073,715,111,309,740,453,950,499,
720,188,309,383,114,397,924,864,904,447,865,846,941,333,156,130,112,366,126,
008,853,495,958,442,350,319,300,749,135,277,417,679,787,822,985,831,581,446,
001,018,776,682,594,726,898,941,259,459,420,602,645,022,879,107,573,168,356,
780,602,923,308,746,743,325,807,287,843,480,605,674,598,704,658,813,730,949,
756,219,441,808,999,651,771,366,329,361,641,003,000,368,600,162,319,073,098,
999,541,816,992,413,758,959,557,697,144,310,129,185,503,792,263,364,381,418,
841,669,572,616,668,416,856,220,020,316,276,786,744,213,130,750,425,470,254,
313,538,023,996,688,069,822,332,253,843,997,220,828,367,477,606,568,655,963,
649,726,938,151,320,275,855,029,198,365,732,030,322,831,678,776,784,440,413,
672,297,521,673,154,693,824,420,845,881,574,442,699,342,212,320,742,334,150,
397,334,826,072,539,602,728,367,233,037,328,873,810,968,084,879,555,566,363,
531,981,121,105,288,033,048,916,762,804,259,067,025,571,962,895,670,506,017,
805,208,225,498,972,693,844,760,725,075,554,577,335,267,454,283,392,597,208,
119,861,462,282,184,675,644,286,032,707,830,743,880,600,332,570,962,973,247,
654,064,665,174,229,064,574,332,301,614,308,307,608,227,850,997,260,469,109,
892,308,670,076,378,738,889,928,580,237,051,824,575,145,574,102,707,390,170,
397,769,630,966,449,282,403,345,125,856,515,111,496,170,041,059,581,772,218,
100,023,392,403,598,336,586,718,973,167,393,540,416,654,549,637,895,545,968,
835,236,324,733,953,724,406,261,099,129,064,016,693,046,946,512,026,922,958,
884,053,200,012,221,509,373,674,056,371,845,328,589,981,940,309,238,158,464,
216,602,568,229,552,379,267,173,446,188,751,013,683,919,321,232,770,232,106,
494,360,063,104,388,743,524,588,551,387,801,244,421,556,439,768,336,712,679,
258,989,888,288,316,956,162,952,671,068,348,182,730,594,591,864,036,951,171,
635,211,755,301,674,008,636,988,359,169,967,716,580,943,723,719,664,161,023,
001,113,380,187,070,977,072,394,527,811,458,202,655,164,394,412,690,361,715,
482,912,896,166,789,938,953,856,816,128,032,489,232,875,411,366,202,114,880,
722,188,304,737,597,592,256,018,230,396,846,180,722,621,645,909,409,889,936,
087,561,016,522,118,665,900,408,352,865,061,099,577,594,994,451,543,376,984,
078,675,565,086,256,201,454,220,322,003,089,630,093,328,524,038,198,808,237,
369,260,886,092,812,498,652,860,188,724,028,375,364,938,993,873,613,400,556,
072,431,560,000,551,396,393,977,941,577,306,383,940,973,803,314,999,351,775,
516,474,493,235,725,055,776,251,471,519,347,118,696,483,453,544,218,965,400,
970,799,696,536,493,686,541,685,014,319,610,098,227,283,061,080,243,945,469,
620,591,995,344,382,127,694,798,538,386,483,204,664,180,857,752,277,131,018,
803,906,469,420,984,513,711,061,145,372,664,488,825,805,214,398,291,271,287,
026,561,174,350,128,539,687,511,438,474,094,674,289,181,901,788,165,690,882,
967,945,732,445,835,091,275,702,050,071,852,137,127,340,282,715,354,769,988,
947,376,497,269,888,250,400,354,612,418,597,751,268,821,688,557,525,607,823,
047,587,367,757,469,173,750,623,659,882,492,473,178,397,050,719,909,701,853,
973,437,898,718,765,498,002,433,708,844,795,852,856,829,818,127,338,753,642,
081,057,605,046,045,535,445,617,329,146,133,339,993,039,535,252,636,157,465,
257,282,531,533,838,010,823,375,377,883,987,937,751,572,614,235,531,979,930,
130,877,649,889,495,944,375,351,043,495,740,573,683,386,439,245,669,646,083,
933,066,743,388,173,888,040,922,836,886,269,975,670,604,877,294,200,123,744,
158,201,175,579,124,608,167,385,082,920,750,400,482,543,740,512,900,549,389,
512,403,314,894,861,351,900,786,201,110,201,204,491,726,715,013,153,722,105,
208,738,804,180,568,279,027,771,327,530,576,691,524,286,579,453,003,695,068,
478,423,226,211,253,847,859,777,100,026,518,308,238,339,022,568,457,154,777,
223,144,396,363,079,298,728,500,518,530,391,518,154,543,450,223,886,241,004,
139,579,957,524,105,313,757,705,347,963,831,153,389,269,479,789,559,477,624,
006,956,090,248,210,642,823,769,835,821,226,340,985,260,428,499,894,286,417,
634,135,864,165,927,819,362,918,699,961,266,680,902,149,381,803,240,654,710,
729,153,702,275,024,571,707,858,279,940,509,299,886,852,790,311,787,260,964,
583,172,344,546,513,415,010,314,482,495,994,123,885,727,134,096,819,807,542,
069,059,254,061,471,740,134,947,023,263,387,174,951,528,185,331,409,419,970,
488,043,820,816,665,257,958,550,288,288,786,878,580,668,894,076,255,028,835,
175,995,737,571,508,087,892,455,748,108,826,059,639,622,055,764,713,674,763,
084,543,563,251,712,534,943,160,456,311,939,813,346,547,712,189,989,745,082,
513,101,557,707,011,115,117,501,701,916,014,452,168,880,499,519,505,274,972,
250,793,100,879,880,531,971,331,081,403,836,587,558,890,192,190,076,729,805,
823,663,272,743,689,795,925,250,988,794,057,991,169,135,439,030,017,661,597,
658,606,928,385,921,381,253,872,403,645,183,442,438,772,912,498,484,787,059,
326,548,432,269,685,770,322,376,024,072,263,133,735,906,450,301,226,332,006,
581,787,751,322,573,052,087,688,045,451,435,346,942,215,177,739,262,106,802,
142,227,614,853,832,319,399,944,571,752,037,118,157,135,895,685,394,910,994,
383,609,724,441,246,788,464,066,817,697,550,174,128,678,608,726,990,777,080,
184,518,925,899,518,458,427,526,449,258,741,752,626,489,323,436,861,840,899,
867,617,347,884,611,337,486,518,632,945,677,347,807,890,662,393,852,030,645,
826,920,420,386,740,470,661,668,045,409,616,043,071,848,127,227,065,481,144,
860,590,766,605,748,690,095,316,099,551,492,447,758,188,079,731,931,964,673,
124,389,869,882,306,727,286,112,072,114,226,790,089,422,388,249,053,087,840,
680,566,903,379,159,871,874,108,328,089,499,549,145,570,275,279,368,763,922,
888,173,977,474,190,503,632,393,802,878,268,989,554,932,362,010,863,896,244,
746,710,120,401,181,665,950,746,275,899,224,544,417,674,368,226,066,303,333,
916,128,407,507,937,575,365,123,486,964,298,605,857,256,618,677,097,904,117,
812,584,217,896,743,951,217,228,998,849,535,388,090,621,167,312,996,605,312,
045,615,754,721,446,873,962,126,010,223,140,208,592,774,864,520,574,256,685,
452,637,251,271,409,002,302,320,788,503,003,534,829,323,513,435,694,643,281,
680,306,840,428,407,598,445,211,187,107,147,339,252,684,346,129,660,514,001,
746,462,086,596,716,402,104,973,829,029,194,715,304,783,226,164,671,914,264,
042,778,886,086,982,603,544,213,849,478,629,259,876,281,580,788,635,043,492,
018,544,289,849,347,354,612,687,814,649,205,263,581,927,816,180,033,299,364,
050,069,112,442,651,049,985,496,687,551,553,823,750,512,603,918,009,864,298,
398,178,154,863,126,069,664,053,460,213,836,986,027,101,464,690,817,105,642,
655,642,623,740,457,441,985,878,561,524,405,176,713,281,710,608,559,664,975,
899,568,882,493,133,281,460,752,352,576,025,906,017,293,695,192,934,407,573,
673,536,907,334,321,154,879,614,747,478,069,930,320,760,395,269,122,848,328,
781,202,734,382,277,679,147,472,440,984,809,046,231,675,113,047,844,450,906,
501,969,317,217,822,365,506,348,835,932,720,567,386,980,066,864,977,127,929,
473,061,990,152,687,514,720,122,931,929,300,919,738,675,481,449,206,940,982,
913,693,436,421,987,689,703,085,121,369,197,820,401,148,394,677,979,104,914,
282,544,010,362,851,583,279,438,144,476,667,345,618,155,289,871,856,948,671,
954,536,508,775,388,563,664,454,119,956,193,725,688,817,863,400,895,115,548,
646,983,990,377,793,543,931,692,650,188,327,724,771,828,516,918,427,174,405,
248,019,189,467,296,251,111,975,826,956,716,082,187,772,710,842,904,821,548,
279,616,121,617,102,798,883,002,202,842,091,885,561,640,345,740,503,822,179,
077,797,978,429,863,001,383,158,270,405,324,932,289,350,238,781,642,484,771,
778,553,102,809,313,121,972,546,410,538,362,161,963,665,874,657,436,778,624,
679,242,203,924,751,919,986,239,459,806,720,911,707,664,226,232,979,885,769,
661,625,645,478,844,235,601,886,753,369,869,172,345,402,288,472,833,216,090,
841,619,854,988,280,267,910,423,080,809,651,344,083,683,621,096,124,068,417,
069,881,830,831,282,485,699,768,248,692,680,923,166,505,121,680,639,424,777,
999,720,183,431,180,135,008,763,721,616,888,147,732,930,262,270,529,611,038,
374,314,298,140,484,188,723,950,804,556,414,441,049,204,424,393,575,371,701,
806,578,002,875,196,800,632,590,544,080,562,029,320,661,687,608,590,155,745,
945,358,917,622,765,939,013,732,129,251,098,219,999,420,411,489,889,434,557,
398,185,794,861,143,765,466,852,987,278,688,629,736,393,320,245,503,033,943,
896,698,828,267,523,549,790,255,753,629,826,576,102,903,885,102,861,761,950,
445,135,368,934,032,459,445,128,961,911,925,654,060,581,886,233,323,805,093,
504,895,129,037,122,032,553,794,109,043,907,280,390,663,215,057,538,665,729,
118,212,065,133,026,325,022,237,108,605,790,584,123,100,710,666,890,079,173,
948,380,949,866,610,281,032,125,076,979,644,854,283,421,750,326,197,417,641,
698,815,958,166,174,052,581,695,631,974,741,437,544,600,948,358,875,482,055,
922,349,928,365,867,893,320,319,107,288,024,469,421,108,749,187,437,876,813,
627,434,683,604,168,596,718,563,508,252,557,767,083,605,024,730,365,958,860,
650,073,235,737,589,929,473,083,523,876,208,129,007,192,431,371,230,217,890,
807,506,070,059,217,207,394,264,812,687,589,589,127,589,299,866,625,360,320,
281,095,328,981,640,580,622,629,902,021,628,836,100,863,545,981,357,121,417,
373,893,451,349,434,745,367,590,225,120,515,638,352,396,907,215,044,727,827,
476,171,611,944,356,610,679,310,140,590,427,769,509,670,661,061,139,577,170,
306,770,387,949,016,111,912,710,729,398,055,987,152,868,023,302,228,986,869,
481,664,876,768,661,737,690,921,017,912,461,411,328,936,430,138,388,923,023,
142,377,256,609,407,831,474,522,511,038,057,740,938,421,928,623,186,348,937,
248,955,546,909,837,729,863,692,832,887,339,093,484,560,291,578,817,037,867,
113,303,839,566,158,317,755,742,049,143,528,353,450,154,578,707,032,013,754,
452,071,652,755,085,893,108,510,914,701,116,177,461,052,832,015,244,269,764,
763,594,046,909,636,862,705,836,882,406,130,171,842,119,576,688,570,926,373,
886,888,992,285,835,998,034,812,515,893,979,104,155,728,738,680,772,088,356,
792,494,155,070,684,961,087,948,975,400,493,125,983,899,807,988,237,802,781,
070,546,802,768,394,106,164,026,132,267,237,191,968,850,763,741,256,164,331,
580,441,166,291,447,724,330,008,017,001,009,684,646,876,803,935,242,455,144,
896,576,250,454,195,075,622,657,447,889,703,339,437,743,827,453,930,962,481,
258,038,791,097,987,394,317,284,925,170,297,695,886,220,284,555,279,783,531,
725,126,298,009,291,237,145,403,989,382,109,130,564,295,063,808,155,591,020,
297,551,799,547,112,072,742,489,160,410,878,132,741,161,161,085,906,687,666,
504,003,792,271,046,231,557,086,748,938,163,484,414,094,711,557,578,348,019,
606,825,240,340,419,449,516,328,415,007,602,479,240,835,964,031,403,023,385,
898,989,155,631,811,091,323,309,380,660,477,899,291,969,084,375,366,918,755,
209,118,370,462,528,739,954,101,525,581,071,361,950,010,850,434,186,831,845,
183,463,603,795,323,323,827,006,042,779,523,832,829,522,478,573,529,296,383,
304,749,859,833,931,611,730,055,502,973,651,742,986,373,932,545,894,617,141,
346,293,961,885,965,790,994,376,555,154,522,685,630,077,915,260,178,628,141,
766,427,370,518,410,475,693,913,232,250,968,665,494,972,056,187,226,731,250,
072,006,434,920,552,550,092,341,985,473,219,426,333,651,463,074,589,230,393,
656,109,637,184,778,980,426,396,310,101,743,913,869,161,596,254,650,170,906,
708,100,594,552,070,749,237,554,188,124,545,855,467,034,915,053,443,029,000,
922,284,932,273,243,482,823,973,829,241,056,682,544,140,314,341,125,497,519,
284,641,582,488,245,493,467,496,409,864,347,676,673,328,952,188,017,833,735,
090,868,422,780,535,561,225,676,095,300,745,828,047,318,269,789,533,667,292,
599,806,257,692,541,475,910,442,487,243,813,171,479,327,111,752,507,847,132,
116,896,170,924,211,589,658,912,509,324,126,232,460,897,370,214,809,506,612,
798,457,283,762,705,844,641,924,813,829,633,674,027,539,385,784,164,315,892,
250,269,789,569,828,598,613,734,315,741,345,537,820,852,229,139,895,925,276,
142,016,107,476,859,532,924,129,764,664,463,097,896,494,133,588,865,716,173,
662,795,851,705,486,136,224,606,891,994,919,148,246,445,551,856,312,838,036,
852,829,244,387,576,114,171,898,774,344,486,752,672,492,123,729,289,587,896,
025,539,816,182,527,829,517,799,318,887,137,056,626,196,859,409,309,200,246,
513,361,131,586,994,823,188,977,387,117,353,626,756,750,146,987,944,338,705,
533,046,902,110,430,556,431,606,421,872,134,113,505,889,240,043,015,556,597,
321,451,342,881,440,133,614,760,340,518,650,279,765,895,080,290,878,727,358,
884,926,700,951,581,741,460,076,611,627,070,791,842,414,527,281,728,908,979,
925,967,890,598,674,588,600,660,637,286,294,108,328,201,071,860,448,426,299,
801,081,306,560,600,516,255,980,323,472,065,091,067,458,687,414,074,203,561,
337,166,167,097,426,029,855,401,740,118,988,133,821,901,238,036,579,169,873,
754,523,247,939,171,491,356,559,264,611,663,175,446,896,603,034,182,753,481,
329,988,845,406,039,677,451,276,838,274,387,359,558,134,145,181,677,210,751,
795,698,714,627,804,462,943,510,592,334,506,113,025,536,879,235,573,771,799,
624,275,121,541,882,465,986,439,352,091,884,679,762,949,998,821,315,027,245,
880,251,369,768,038,853,425,081,224,325,473,322,021,605,092,983,031,004,230,
795,716,876,730,101,375,538,694,144,501,063,662,764,289,099,062,105,062,661,
555,236,394,655,739,496,292,040,702,154,470,658,112,917,192,725,290,924,442,
627,082,802,624,486,461,254,122,070,317,138,235,381,312,584,851,767,212,909,
558,895,442,242,048,030,934,810,216,278,283,228,321,233,681,470,005,565,542,
458,640,057,160,852,723,835,840,577,774,698,185,312,633,101,767,112,686,897,
480,868,926,620,745,475,875,925,088,102,228,950,947,480,091,026,521,176,832,
720,618,442,624,716,957,264,226,915,302,244,540,243,046,001,772,921,189,011,
231,768,825,080,253,501,855,971,362,995,154,560,807,849,285,569,187,787,999,
159,587,296,347,782,297,749,674,696,051,186,325,353,170,349,395,999,204,453,
664,030,521,092,249,774,242,741,315,155,693,519,919,925,261,209,725,811,965,
358,327,865,999,895,926,334,984,040,535,302,225,917,003,562,151,899,266,875,
141,691,088,303,544,918,053,273,120,702,819,657,636,681,171,455,550,414,719,
603,454,597,160,936,951,217,680,941,511,797,734,933,477,780,549,266,188,316,
973,636,529,325,561,877,066,803,562,214,573,748,670,833,748,839,540,602,307,
915,660,723,669,706,019,991,086,604,276,540,918,819,498,767,557,536,472,011,
525,793,216,440,511,277,414,010,964,829,977,528,570,725,650,216,786,542,540,
955,289,152,946,010,850,299,480,757,141,255,325,415,803,115,103,325,704,026,
700,121,483,021,733,356,627,525,169,458,200,640,437,861,963,773,472,296,146,
684,590,041,401,510,285,558,792,208,587,118,800,098,680,226,328,120,665,561,
627,684,927,979,704,965,616,216,527,287,184,878,547,426,602,664,559,333,926,
068,109,519,613,976,710,989,749,596,996,273,793,929,952,228,920,903,563,871,
842,612,903,535,696,696,368,711,659,293,405,394,375,700,447,986,055,541,112,
146,652,843,238,312,769,575,676,908,997,420,954,439,891,770,665,425,316,671,
412,884,673,522,736,141,451,759,371,985,287,886,801,169,396,084,378,253,800,
347,374,951,544,331,310,885,564,760,369,319,750,862,394,272,299,168,033,576,
983,649,687,511,088,175,544,032,301,365,880,625,077,921,901,233,014,750,651,
998,831,605,196,308,427,761,226,860,469,436,153,674,802,065,596,473,262,488,
768,521,211,973,033,247,801,432,595,231,353,490,906,224,334,337,315,245,404,
254,370,683,472,709,560,044,377,815,201,956,859,095,289,193,714,373,692,220,
993,664,560,658,032,986,051,333,807,554,669,940,661,713,391,336,097,088,855,
319,444,377,046,065,822,716,476,017,452,103,661,265,545,782,420,941,526,466,
778,901,437,421,740,293,097,109,114,068,976,214,758,667,832,434,031,894,854,
728,463,265,138,897,218,244,413,283,971,353,615,530,327,557,717,901,658,379,
679,783,605,999,325,723,589,331,758,657,499,247,332,091,474,909,647,467,524,
660,263,861,297,334,722,677,849,652,931,013,174,218,193,928,292,569,033,397,
900,820,130,704,327,268,537,423,106,445,159,327,982,839,919,743,466,307,890,
535,415,315,076,181,759,206,748,302,774,559,793,696,077,197,124,772,720,021,
057,116,276,313,408,333,491,009,881,749,983,661,447,805,911,827,815,994,053,
910,960,808,115,137,722,417,077,057,821,771,445,827,320,370,236,393,755,802,
536,277,730,558,323,799,220,740,826,196,567,902,162,304,342,438,238,820,603,
950,970,614,931,622,208,452,653,940,228,504,506,882,916,801,988,376,469,120,
227,370,285,119,425,209,215,119,657,434,455,902,615,041,212,196,499,299,323,
405,243,529,703,631,447,292,883,827,881,736,233,900,047,809,683,952,976,505,
933,437,239,694,721,867,986,711,498,103,608,759,443,394,990,131,688,864,417,
257,272,527,737,425,961,214,560,644,735,480,771,689,755,473,238,113,365,910,
578,656,186,589,354,002,158,937,261,102,635,048,110,700,621,153,813,771,894,
343,187,683,999,087,669,887,048,596,373,804,586,655,926,150,527,043,063,456,
678,794,307,044,171,585,599,786,424,693,099,272,851,045,245,404,537,348,475,
229,041,798,361,556,079,115,012,724,942,959,192,680,693,618,718,532,937,684,
899,200,385,400,167,570,395,802,745,249,251,471,464,420,503,741,999,808,686,
057,281,597,280,537,336,464,322,978,113,527,424,138,659,936,626,858,691,632,
969,891,919,017,717,522,547,272,690,050,607,156,217,482,312,111,807,404,174,
771,301,334,528,850,202,550,279,326,084,047,490,060,650,831,624,777,678,697,
369,435,608,696,834,458,907,309,815,558,819,625,626,129,692,286,098,308,908,
014,733,346,259,207,272,116,005,182,558,935,112,049,633,851,076,381,580,758,
321,249,864,752,026,393,274,809,886,889,582,253,283,228,723,570,248,888,076,
915,379,526,335,416,348,861,372,330,573,608,030,646,519,378,094,336,209,938,
921,111,791,390,655,078,115,610,637,434,799,267,269,082,291,547,428,547,030,
766,710,277,805,833,897,455,209,533,916,805,301,353,933,883,118,396,362,427,
389,435,160,402,481,063,298,673,873,904,083,751,468,816,619,123,436,126,784,
127,878,110,931,891,632,284,177,633,724,014,697,707,017,748,599,761,729,106,
052,579,816,416,075,811,549,726,172,623,431,061,214,939,116,412,796,293,993,
396,519,567,328,375,794,612,541,763,822,114,286,771,283,189,720,443,918,123,
518,550,758,972,801,967,494,431,595,140,012,910,718,588,279,425,067,034,231,
773,086,501,144,520,187,230,930,402,611,726,814,620,789,169,720,431,695,184,
063,235,600,051,438,554,204,653,539,861,168,840,041,601,175,320,936,296,393,
576,863,940,679,440,217,909,051,507,851,225,764,644,781,333,572,576,632,543,
191,274,455,769,604,449,346,008,701,708,134,690,798,567,823,147,790,661,349,
563,177,953,750,005,234,210,667,058,864,956,866,459,663,921,986,292,903,370,
178,386,389,098,384,574,355,002,380,317,772,431,759,981,485,977,736,192,674,
478,672,307,763,744,572,971,321,176,903,026,369,059,172,774,894,179,594,670,
357,844,361,086,814,323,784,470,226,589,710,621,071,254,069,583,389,741,086,
146,663,833,827,647,007,885,381,806,519,206,259,529,289,206,090,997,801,532,
537,156,710,784,182,059,108,010,986,312,297,839,766,742,237,833,947,652,304,
663,256,434,609,611,493,899,394,865,706,091,628,500,359,335,484,261,222,749,
368,809,606,433,258,589,419,956,885,838,752,613,563,004,891,583,745,301,276,
037,281,406,653,065,974,043,107,887,017,928,330,933,975,278,382,752,406,163,
116,625,032,533,970,927,067,901,254,245,435,753,321,260,985,010,593,293,175,
904,685,618,253,895,016,246,061,826,953,036,506,524,970,862,722,637,679,963,
327,996,993,664,725,179,553,264,856,838,992,188,381,477,826,445,105,481,063,
168,242,557,527,968,988,156,353,548,757,663,244,511,491,549,245,788,460,626,
182,222,770,697,083,403,699,425,968,610,171,515,039,703,808,955,582,095,121,
360,350,445,050,431,527,486,176,009,138,334,675,857,672,217,654,792,545,448,
311,146,992,606,607,978,463,122,456,982,156,177,357,229,111,048,226,306,882,
824,722,297,123,291,585,307,240,113,377,825,328,499,974,698,264,473,168,610,
371,183,684,996,908,314,798,761,446,780,782,906,863,342,512,699,054,181,012,
761,839,827,449,002,756,990,620,399,958,617,375,370,920,167,692,046,426,639,
049,309,615,764,169,697,093,031,722,192,747,181,804,419,560,631,798,291,770,
157,951,445,246,676,356,150,750,479,846,401,291,912,084,027,762,425,972,626,
664,958,304,319,739,533,137,807,836,510,182,866,088,132,061,658,600,974,519,
115,022,951,520,092,580,254,683,381,457,121,075,315,731,233,164,255,898,293,
403,433,803,151,463,842,693,414,884,223,474,205,852,464,680,314,627,357,207,
815,043,565,867,140,870,724,917,602,152,545,588,153,725,129,876,536,709,616,
906,143,139,363,258,440,460,796,629,456,000,339,559,668,504,629,576,963,156,
434,574,984,918,992,733,325,938,762,871,953,907,893,479,749,403,952,417,539,
430,686,034,956,842,698,093,744,995,914,962,444,286,541,455,231,322,387,186,
469,337,173,958,209,419,800,676,762,969,200,972,068,908,780,392,852,402,588,
440,699,286,768,893,114,500,035,763,579,366,269,706,120,369,263,240,562,171,
660,902,722,878,206,884,537,806,394,048,998,683,446,539,397,586,693,281,826,
201,441,752,039,276,039,391,604,148,519,037,531,461,384,602,957,845,905,306,
021,803,462,112,031,030,306,234,209,878,800,689,418,099,942,883,279,522,337,
710,554,424,289,445,564,580,018,850,195,335,239,325,204,722,450,808,332,056,
867,504,333,813,446,222,314,152,658,229,243,845,138,482,091,412,965,757,745,
610,148,036,490,773,951,157,453,580,646,879,412,397,512,057,384,602,864,256,
923,306,252,635,288,735,378,689,908,721,629,559,778,862,718,051,920,851,362,
770,244,693,390,213,024,185,494,579,142,281,120,522,460,957,282,490,087,970,
479,829,880,726,909,749,967,940,855,983,669,903,758,042,436,012,117,501,042,
665,025,723,547,068,574,984,539,895,699,055,297,025,231,919,591,745,943,940,
266,730,012,843,861,609,458,535,773,942,306,339,779,001,259,716,442,242,505,
631,040,595,236,653,640,636,818,573,019,424,008,480,692,348,262,051,256,870,
058,206,713,911,942,654,779,906,046,953,448,155,558,401,908,980,761,288,538,
428,808,896,542,422,184,982,256,593,641,203,934,133,189,565,415,971,672,299,
232,563,166,207,544,298,721,337,141,260,152,424,903,700,387,126,876,520,777,
344,546,990,213,246,190,700,396,589,935,063,057,013,526,494,876,371,202,842,
819,001,601,582,545,465,236,891,952,611,150,050,216,072,817,576,100,836,143,
418,986,026,100,385,526,241,032,339,128,402,276,222,456,070,120,281,140,555,
483,087,743,289,511,323,010,105,456,121,851,813,621,344,276,993,893,514,681,
797,736,646,959,826,653,774,472,421,487,928,173,379,802,997,992,969,776,102,
007,538,022,127,832,349,496,454,935,659,123,307,965,433,985,343,645,468,414,
718,063,507,491,657,494,393,194,103,066,071,083,458,730,672,807,701,693,662,
631,574,314,850,388,394,618,179,476,670,700,373,481,000,635,665,781,271,541,
421,031,065,070,290,707,327,470,203,088,379,047,316,832,375,547,206,436,538,
348,016,532,636,173,257,955,351,025,526,747,427,724,581,959,726,746,922,063,
387,963,578,648,142,234,335,521,103,273,771,110,525,915,689,006,489,412,752,
553,516,591,548,091,947,065,647,997,465,925,142,233,447,410,399,821,842,114,
955,769,693,661,215,586,380,669,625,877,306,464,201,050,048,037,868,067,564,
884,762,277,021,076,328,998,722,928,937,999,563,111,491,046,024,061,049,320,
533,687,072,620,242,919,628,468,888,038,515,102,648,268,674,405,861,301,351,
068,566,045,765,718,902,526,776,493,013,788,157,633,214,940,447,935,905,195,
687,539,925,840,707,316,161,793,533,732,616,304,378,469,913,330,914,506,022,
981,819,309,800,997,207,318,765,533,033,407,050,357,340,196,094,075,875,432,
716,710,267,577,707,694,836,863,999,536,328,353,903,968,019,080,868,546,333,
233,973,496,576,915,763,194,965,549,547,136,492,426,691,539,000,491,305,582,
197,455,701,522,778,312,918,604,130,530,354,973,970,779,715,350,386,494,271,
738,279,960,503,800,158,187,896,230,988,879,078,202,735,497,452,339,668,789,
032,941,978,809,306,319,634,966,439,808,757,048,984,108,576,683,802,880,488,
514,307,168,061,198,253,964,694,104,666,690,382,444,505,870,058,841,945,452,
515,725,290,461,275,739,382,069,268,065,915,268,756,765,168,057,099,669,673,
557,564,594,988,312,471,546,262,585,279,874,494,788,159,890,332,674,208,988,
431,250,371,120,534,257,652,086,609,929,857,969,248,464,420,576,578,195,805,
831,052,006,598,726,416,135,288,704,128,312,108,743,245,294,005,342,205,865,
265,041,815,807,847,423,320,134,473,509,358,998,990,394,457,506,309,019,735,
937,900,182,483,378,423,906,816,764,616,504,111,987,718,296,348,200,734,686,
408,863,251,478,154,215,225,424,512,745,988,516,940,793,282,496,013,554,587,
006,736,393,699,066,823,205,530,074,282,796,709,668,326,176,082,335,306,388,
055,129,884,428,625,608,605,631,994,125,262,197,753,066,396,050,763,747,455,
205,230,990,517,604,535,157,672,424,494,856,772,771,867,862,593,282,995,213,
279,437,550,022,161,549,833,404,736,658,112,093,826,491,424,164,879,590,122,
634,949,605,479,862,246,255,379,099,050,239,927,156,650,114,334,579,032,725,
333,697,982,886,870,157,808,969,750,594,747,452,702,063,846,765,928,180,392,
354,202,867,025,669,529,121,390,825,421,598,870,702,447,635,891,562,376,544,
845,412,378,378,583,116,987,596,854,972,128,994,055,562,059,501,102,649,766,
036,358,947,098,070,561,353,965,329,772,832,929,623,569,241,001,207,481,219,
587,768,542,033,540,267,727,370,049,632,908,106,630,933,393,612,843,020,244,
695,410,111,161,979,479,677,137,894,596,636,030,736,120,555,182,800,309,061,
784,270,606,561,452,728,664,937,066,789,195,282,059,392,317,528,582,167,223,
866,471,517,852,563,197,279,137,123,265,918,184,435,813,788,027,572,658,543,
841,144,929,902,261,875,823,738,118,474,063,395,378,037,051,378,612,970,329,
295,707,452,110,774,731,390,578,114,559,143,689,843,672,733,328,986,480,844,
847,924,250,794,809,350,620,906,007,737,901,900,455,208,485,103,383,230,471,
568,763,303,606,104,468,999,703,939,109,545,168,381,594,407,108,631,569,008,
708,180,513,043,385,786,473,525,117,437,497,569,314,254,441,159,862,166,042,
047,041,283,475,040,732,509,491,847,629,921,954,711,569,387,876,121,985,885,
971,482,431,818,726,914,394,995,965,178,998,860,216,387,373,593,304,319,019,
655,878,404,096,195,850,246,163,871,192,503,460,564,048,767,490,610,457,795,
096,401,481,434,977,560,751,765,649,703,381,609,361,648,485,676,044,697,065,
934,115,327,875,552,906,343,055,676,468,924,260,322,105,142,434,706,427,513,
866,939,331,652,109,269,520,272,996,762,275,569,565,957,948,726,092,548,640,
376,432,181,869,603,201,494,975,730,117,997,316,137,035,017,223,694,668,842,
530,713,227,421,739,117,082,091,967,227,046,062,062,937,415,818,332,724,373,
891,519,859,729,780,450,195,762,757,607,608,255,505,809,454,207,223,295,716,
288,339,833,845,670,414,914,010,647,573,708,676,092,699,859,141,131,777,110,
303,875,463,590,495,501,357,632,055,178,844,496,414,180,241,941,015,589,343,
254,244,452,876,988,324,636,826,083,311,272,966,571,275,289,541,906,111,046,
194,900,237,839,791,596,470,520,027,300,191,470,358,914,265,926,251,794,446,
320,978,243,066,983,711,565,309,372,454,673,566,031,497,387,293,490,843,865,
526,583,285,191,236,445,617,510,175,581,140,614,109,711,860,071,775,384,685,
913,442,887,624,997,422,067,348,195,045,762,931,959,665,535,140,816,386,775,
482,144,677,452,529,773,893,883,907,717,106,168,378,212,309,187,073,415,259,
244,957,872,813,572,268,747,349,733,354,533,818,555,660,666,027,021,353,579,
561,091,591,228,637,138,661,842,066,991,297,396,555,367,338,463,307,635,382,
024,871,247,389,664,044,458,866,410,242,451,778,932,533,589,014,328,635,801,
088,666,151,160,969,316,830,104,982,058,317,758,841,333,856,290,065,188,291,
454,766,294,117,866,185,414,734,865,206,967,521,610,307,339,548,750,244,096,
668,624,149,999,400,178,096,201,452,960,269,147,826,723,140,871,886,001,466,
932,343,454,757,205,498,490,373,249,284,024,709,212,506,298,962,612,847,442,
452,580,060,818,817,122,232,656,579,004,152,281,333,709,556,651,932,378,880,
657,730,700,923,654,216,997,082,093,038,410,716,301,888,140,781,499,555,389,
788,028,639,678,511,141,975,231,985,405,795,738,306,355,292,244,179,739,301,
858,490,351,186,476,763,890,021,570,025,423,826,738,255,178,013,632,428,489,
499,896,342,747,162,351,287,880,624,898,885,844,036,164,072,484,815,023,080,
713,496,387,224,115,119,201,508,772,459,065,336,379,710,847,119,874,149,406,
635,991,509,549,587,166,964,467,325,541,861,108,213,813,280,936,741,975,883,
397,617,940,707,828,293,671,481,507,076,860,236,072,136,647,748,387,168,808,
940,949,905,696,536,132,529,577,689,546,114,445,416,799,321,221,703,721,672,
569,367,390,884,997,368,463,961,451,638,212,456,274,262,121,351,105,586,920,
397,698,418,567,326,504,048,436,216,203,506,137,204,256,663,025,178,606,119,
059,999,858,308,009,455,355,385,662,516,390,503,213,425,508,749,124,731,058,
447,028,430,162,038,517,340,500,211,384,374,456,317,128,931,883,067,462,637,
016,684,778,228,820,819,525,948,149,436,551,103,266,829,329,469,117,260,027,
702,027,480,534,393,472,198,995,677,317,084,086,641,061,734,451,390,971,691,
278,804,495,632,526,441,616,495,410,285,172,831,032,072,297,489,056,502,273,
943,880,556,528,177,807,452,150,245,359,884,959,908,489,987,289,187,905,992,
547,084,010,763,702,504,185,093,686,831,044,817,216,156,966,260,484,549,418,
823,786,169,017,535,735,420,374,973,895,778,381,582,323,601,810,147,417,763,
543,008,693,444,338,480,439,412,383,077,227,125,437,166,594,212,865,738,444,
025,003,965,397,444,415,301,225,670,044,027,865,171,133,480,002,575,336,329,
580,892,052,447,376,113,890,765,135,505,903,518,769,860,984,061,554,581,361,
944,101,508,920,701,888,489,602,710,305,505,181,698,284,218,901,308,910,539,
328,613,315,395,233,794,940,287,423,953,632,962,049,526,563,961,833,478,562,
295,566,632,923,894,172,763,056,741,798,226,893,321,165,144,236,677,197,862,
544,310,791,183,694,476,033,610,982,812,248,616,262,310,736,357,269,919,105,
608,408,506,484,301,136,470,209,739,963,571,757,716,315,244,633,284,513,030,
755,731,757,354,473,711,133,953,274,228,771,927,159,251,908,699,977,515,258,
416,961,841,333,954,761,031,874,325,178,924,138,295,425,082,894,354,457,445,
570,051,613,249,612,413,686,080,780,342,533,594,355,619,531,785,364,055,624,
194,773,493,527,686,593,738,173,165,769,681,452,934,568,064,641,249,054,246,
913,308,952,237,741,520,838,863,716,658,095,623,446,080,399,397,690,417,687,
807,007,340,544,886,663,186,206,609,281,611,608,819,810,740,319,560,170,605,
779,133,059,101,358,783,232,807,651,448,619,460,717,528,450,572,748,839,142,
337,591,239,993,752,934,639,934,408,797,968,254,152,293,428,100,219,354,847,
696,709,118,183,953,429,725,023,808,293,832,361,139,341,052,962,218,460,044,
858,580,267,693,828,278,531,867,793,038,845,713,836,877,091,289,930,223,259,
609,399,247,456,283,444,315,883,752,164,610,387,177,276,547,111,612,830,957,
648,612,812,936,338,324,299,565,394,866,350,602,852,363,751,680,390,659,146,
882,272,705,060,799,072,719,238,755,342,726,749,582,160,974,782,232,735,396,
402,018,982,272,856,091,182,440,027,996,037,156,114,385,919,553,566,125,176,
370,235,238,219,923,742,848,884,720,586,826,888,307,322,020,929,549,619,595,
783,347,367,778,551,235,024,178,534,869,966,317,900,287,022,150,589,674,835,
716,120,951,952,266,002,396,108,702,180,909,603,923,910,062,018,500,131,182,
941,487,887,308,090,265,679,772,340,389,415,263,416,287,345,673,349,407,496,
192,119,567,038,527,814,849,051,342,060,717,782,917,348,781,625,751,918,955,
264,688,880,309,495,404,363,380,281,760,434,481,428,109,473,992,365,693,440,
812,292,424,712,474,257,579,920,518,617,819,333,731,210,178,719,515,130,693,
075,113,867,128,743,205,547,577,771,581,108,540,282,259,702,846,691,914,368,
347,464,750,192,703,142,178,330,396,297,292,658,709,085,616,563,103,559,440,
278,367,645,975,886,149,105,460,531,816,467,959,810,905,711,112,911,036,774,
125,686,518,691,271,869,341,723,243,221,889,868,970,093,579,656,429,475,570,
739,590,971,869,823,380,877,691,918,867,853,944,148,678,976,161,796,346,021,
977,524,418,131,149,377,969,835,993,925,668,360,989,774,457,685,528,494,836,
283,656,591,641,482,735,974,576,967,815,052,807,298,586,754,898,278,352,721,
446,108,927,099,559,754,176,342,459,902,173,006,076,108,318,447,924,784,269,
718,538,540,914,598,263,450,916,370,783,253,868,698,209,013,754,796,278,953,
684,392,645,689,961,278,244,712,500,695,493,928,858,485,000,642,461,458,663,
800,250,156,215,391,184,988,408,001,280,501,916,195,503,187,501,303,087,959,
283,803,976,300,705,778,277,643,813,477,517,800,331,425,272,209,038,366,238,
431,415,784,551,703,486,859,221,558,752,306,714,747,043,004,092,020,338,805,
099,564,251,551,388,684,999,247,628,137,032,188,077,979,903,804,360,796,979,
706,241,082,782,097,707,845,645,723,116,504,244,735,930,578,335,000,510,647,
895,674,317,223,144,502,955,281,181,766,439,518,675,521,799,102,987,661,301,
621,903,664,874,142,484,422,624,921,102,667,184,845,899,803,946,977,171,375,
294,468,727,655,061,807,684,938,086,148,542,167,063,867,501,955,136,666,484,
886,838,072,455,580,971,450,921,962,624,934,136,483,166,592,867,830,124,624,
569,759,480,687,765,014,771,919,336,533,015,784,697,666,473,746,188,700,261,
671,690,010,939,285,288,733,214,238,833,989,958,288,166,287,992,147,179,622,
956,728,412,975,477,665,800,317,792,432,340,700,503,630,602,759,314,869,668,
436,593,891,615,780,004,963,891,972,719,837,513,315,392,732,240,395,642,026,
252,815,526,448,518,529,329,442,533,164,948,118,013,965,955,918,621,335,168,
176,216,119,637,861,451,048,050,350,162,478,795,018,096,614,966,545,247,879,
275,339,156,627,692,282,478,305,164,522,231,290,975,280,543,981,371,602,829,
085,518,634,260,978,517,508,479,701,975,344,431,730,695,513,654,132,539,020,
754,493,912,406,851,469,656,061,323,829,611,270,321,164,738,594,594,669,218,
166,348,176,242,650,842,714,720,085,537,543,793,296,596,363,944,070,875,796,
964,648,959,619,282,023,386,811,301,132,125,524,747,972,377,706,135,746,236,
461,432,981,555,323,887,527,720,095,861,687,112,024,579,927,071,981,004,511,
681,633,883,907,965,854,346,401,036,478,684,301,422,804,384,375,165,165,356,
373,757,704,913,517,832,950,885,658,027,524,617,251,277,493,861,026,041,084,
457,216,897,343,012,030,009,787,281,975,874,608,218,938,509,614,484,763,675,
555,793,610,094,077,326,895,960,555,536,099,733,423,827,564,800,193,224,851,
758,148,311,842,165,779,144,985,697,965,157,865,595,107,652,012,875,414,088,
407,421,052,019,549,430,150,547,007,233,907,286,083,650,843,707,240,477,155,
899,635,759,512,299,350,205,385,031,108,824,060,796,167,527,151,214,097,015,
151,292,249,000,886,690,669,309,555,388,665,353,134,690,730,619,314,744,311,
710,420,884,302,732,733,656,529,371,655,580,273,826,795,296,385,362,021,228,
822,845,337,629,407,624,386,105,395,934,211,105,171,517,527,506,754,310,071,
332,569,906,665,697,328,141,302,604,553,260,497,614,802,911,666,814,449,827,
418,812,510,830,109,305,306,160,030,363,924,193,305,609,654,395,846,980,558,
096,245,546,642,729,924,546,568,698,786,624,597,242,588,183,818,942,616,475,
869,342,541,986,387,055,206,062,328,412,475,257,716,461,338,970,668,652,311,
049,883,532,068,207,827,150,558,984,864,101,175,470,667,704,458,722,841,618,
391,345,938,166,835,979,792,402,833,051,131,297,561,033,803,527,334,504,006,
971,101,725,453,046,786,477,245,279,733,240,849,114,173,599,355,265,284,109,
544,742,304,532,755,551,576,204,123,567,012,912,800,237,788,414,667,295,438,
227,769,214,476,475,982,797,015,980,971,870,718,132,457,596,241,029,485,395,
270,340,478,879,908,842,699,613,255,994,514,143,141,753,231,569,259,017,606,
110,524,033,777,658,806,352,669,528,006,277,153,408,897,344,742,446,811,223,
226,407,207,411,447,053,626,729,000,529,348,937,905,644,225,902,027,021,849,
830,089,684,273,098,618,761,579,167,020,979,212,002,576,545,785,788,197,670,
157,313,424,333,301,192,321,421,322,791,572,397,169,685,791,958,734,739,763,
853,473,446,343,376,141,019,634,824,370,031,692,442,067,988,597,393,104,650,
802,050,373,209,855,721,599,319,654,142,175,192,584,820,945,984,909,023,171,
024,382,593,169,153,650,388,119,376,748,642,014,798,078,674,744,780,877,275,
430,062,191,524,888,188,309,113,557,394,155,715,411,772,626,612,700,432,335,
169,430,402,124,745,059,857,119,335,772,815,290,180,806,956,441,750,690,159,
814,567,348,623,736,385,329,972,613,835,521,368,235,210,288,147,324,091,274,
452,625,595,460,331,457,324,367,573,220,271,877,344,011,092,199,097,074,660,
856,230,494,130,902,652,990,487,347,996,393,587,582,297,387,917,712,672,544,
270,367,280,352,721,094,704,667,286,110,343,503,427,195,109,229,472,114,654,
152,658,568,613,722,044,911,039,353,828,295,247,174,790,113,813,999,161,704,
488,742,033,845,993,149,852,608,045,982,290,151,571,511,089,468,561,545,080,
802,471,993,370,841,845,645,166,019,114,711,866,605,936,632,041,572,715,602,
362,748,442,635,762,312,584,997,945,289,437,690,883,501,154,329,594,178,199,
381,765,894,575,516,680,173,821,569,116,465,910,948,799,753,855,821,270,424,
575,588,756,593,715,373,279,927,971,891,050,529,694,000,390,360,253,223,046,
280,727,806,546,954,299,211,689,109,179,214,529,356,626,663,414,229,804,085,
482,341,101,561,996,012,155,062,791,923,290,352,016,961,994,193,990,014,100,
266,356,622,807,720,186,262,176,036,777,192,593,651,525,024,680,638,578,938,
695,220,885,811,352,597,914,077,620,121,065,682,620,786,011,336,931,068,382,
953,852,121,393,893,493,797,377,587,928,151,952,835,521,300,161,965,293,595,
578,146,605,637,518,494,129,286,645,518,725,119,447,313,759,441,682,833,563,
943,681,737,372,597,710,335,964,163,160,106,381,813,295,903,855,238,811,559,
176,113,089,627,274,509,655,681,663,985,019,166,000,393,626,303,936,582,340,
223,591,220,429,878,633,542,764,445,054,519,588,313,957,574,718,867,904,441,
323,362,677,095,904,872,711,933,144,184,534,500,320,625,546,896,268,805,215,
210,234,763,825,322,366,309,169,511,719,993,199,712,571,096,117,996,292,605,
007,606,153,177,671,780,830,006,165,347,634,140,157,116,395,295,353,081,149,
456,090,267,028,964,364,497,007,159,513,168,053,103,046,329,267,599,260,616,
647,733,678,544,123,849,355,057,692,142,209,349,975,997,951,228,058,973,267,
659,350,803,470,778,834,322,599,425,531,006,350,396,980,250,550,830,357,243,
742,973,769,415,835,239,818,834,621,081,428,332,467,487,692,414,953,547,480,
628,814,163,529,632,628,068,389,883,029,654,992,457,525,849,154,490,980,558,
862,795,189,606,065,865,257,607,990,213,447,407,349,866,003,844,834,987,553,
878,771,246,112,673,272,818,238,178,799,748,789,720,314,401,408,430,052,809,
616,028,744,287,179,527,539,601,518,200,321,877,024,571,054,668,805,583,978,
046,766,337,883,504,115,968,735,229,529,595,353,748,474,910,692,205,565,910,
853,589,922,433,292,152,943,700,402,389,638,865,289,160,462,583,209,511,520,
286,193,202,596,413,906,971,476,327,153,815,684,200,261,177,971,285,923,034,
182,191,499,390,016,524,799,908,428,743,017,372,267,485,422,497,437,018,189,
720,815,481,679,253,558,100,682,876,555,493,898,820,699,192,104,821,236,881,
980,149,492,182,517,294,385,605,282,868,358,646,938,912,745,352,304,497,094,
728,616,188,116,728,141,825,362,591,163,395,395,750,566,897,963,513,899,869,
041,860,780,666,247,693,416,454,671,509,614,939,756,888,769,966,433,209,939,
514,589,957,715,974,510,837,174,397,840,550,367,838,942,969,727,797,262,956,
618,833,078,855,141,759,162,350,686,203,854,638,113,095,560,896,738,324,443,
208,815,482,640,749,525,430,495,467,455,309,150,940,913,317,443,432,450,636,
167,381,751,666,831,427,520,007,275,627,523,456,239,713,831,042,637,662,711,
785,171,116,428,256,137,943,018,205,562,342,220,207,792,913,381,153,296,701,
972,355,016,215,022,865,687,546,749,050,895,658,708,070,796,716,871,870,396,
984,737,960,622,190,191,400,955,881,440,571,676,906,490,525,436,056,373,086,
636,601,078,570,111,100,468,718,953,797,155,149,465,980,925,141,056,401,388,
557,976,802,172,248,923,871,524,463,481,313,043,887,720,795,871,552,259,907,
230,686,090,772,879,925,097,677,649,046,396,457,753,244,505,041,320,539,145,
034,379,062,316,079,267,008,459,045,441,396,137,699,757,615,647,459,619,092,
364,364,398,282,141,076,049,457,982,953,840,916,088,331,778,311,071,732,153,
335,329,419,281,955,582,412,624,284,064,050,235,052,201,127,900,438,845,622,
817,435,898,283,361,945,017,084,291,865,452,006,850,455,697,497,095,982,695,
358,567,190,135,157,301,522,971,175,300,523,182,285,712,467,887,044,563,863,
199,947,453,046,426,109,294,828,290,553,288,928,580,810,538,212,418,014,620,
094,962,367,076,751,963,567,566,367,897,314,494,701,650,722,157,483,529,084,
129,355,831,791,480,007,709,217,065,681,515,363,763,909,218,034,433,215,515,
923,178,853,121,579,422,472,611,048,695,675,772,810,152,916,571,261,535,539,
352,436,964,217,604,697,714,775,726,881,243,945,388,340,608,190,539,074,985,
908,634,552,017,162,567,247,261,703,085,686,965,938,543,637,400,587,343,950,
331,677,242,128,608,206,239,613,265,343,602,321,591,355,991,509,813,514,781,
832,145,099,043,464,147,473,379,799,115,096,524,555,707,491,106,147,177,414,
978,100,040,479,760,695,871,795,404,803,624,412,933,419,344,688,268,385,798,
406,329,369,058,880,948,780,162,908,054,549,694,939,082,136,114,619,582,714,
457,017,421,639,117,553,659,569,029,186,376,612,632,019,941,801,387,410,131,
875,130,926,231,628,649,887,095,355,475,692,220,761,748,154,742,858,240,424,
138,215,095,619,538,092,439,955,288,525,032,992,742,665,372,266,237,654,030,
914,032,756,925,104,420,837,051,638,882,696,679,112,427,040,393,772,367,102,
192,401,282,637,585,000,389,470,805,214,861,763,040,531,616,692,467,766,446,
668,960,735,932,785,018,038,037,497,938,151,025,438,272,063,142,314,251,142,
255,519,270,197,863,323,435,120,082,095,058,074,514,853,428,498,096,305,123,
081,797,892,466,012,067,224,197,354,970,352,687,871,966,953,273,663,746,499,
267,124,801,476,324,930,355,378,230,533,008,918,945,021,614,771,618,339,534,
393,135,375,010,196,584,464,977,846,921,538,400,862,648,952,616,183,173,394,
679,308,311,601,491,961,130,873,167,344,018,296,344,315,343,815,296,624,186,
899,001,812,302,802,947,697,395,502,476,283,574,946,155,999,923,240,697,144,
636,246,741,838,567,272,094,235,779,652,775,353,028,336,841,816,560,895,617,
007,402,360,076,030,151,216,725,062,215,112,344,276,047,137,828,637,116,896,
646,191,844,847,867,077,800,165,141,254,968,449,865,441,606,218,740,120,559,
263,631,318,650,713,869,964,590,770,603,920,242,158,226,209,119,294,751,538,
823,393,478,243,254,355,615,166,177,282,036,161,123,856,880,075,649,175,217,
268,503,526,840,194,866,076,714,340,598,707,867,461,032,221,882,236,212,591,
862,362,359,465,343,628,500,451,551,517,203,488,547,933,619,798,175,516,024,
482,797,639,125,070,929,318,906,646,875,771,077,371,123,371,234,001,792,324,
949,428,611,390,945,006,702,569,498,657,081,570,827,955,599,365,527,775,734,
677,606,730,751,287,823,584,519,605,529,451,111,167,668,205,642,741,499,153,
149,530,357,175,686,816,089,940,899,527,195,244,658,060,869,364,075,646,731,
874,096,578,899,348,524,968,040,484,543,840,531,762,212,810,010,159,490,687,
234,833,293,216,342,318,572,170,486,704,465,475,338,455,339,750,092,491,477,
468,573,818,494,876,622,027,511,682,808,734,568,092,093,085,186,998,576,378,
661,942,878,342,212,801,586,876,802,797,924,427,229,175,526,550,035,981,373,
292,304,009,012,078,909,390,621,854,179,703,367,307,173,333,193,864,713,297,
334,685,813,770,361,992,945,696,580,695,060,732,602,682,762,076,270,130,244,
812,850,400,580,281,783,388,031,197,666,199,556,162,855,488,021,232,379,031,
283,498,760,745,214,797,160,872,941,771,394,251,267,948,526,508,611,342,068,
180,541,406,254,451,120,059,562,480,868,450,386,474,810,293,070,850,425,704,
961,341,797,594,028,838,634,637,234,121,763,551,044,911,054,748,591,562,702,
947,414,798,580,206,347,686,458,985,211,287,112,651,749,857,287,591,238,789,
069,111,164,533,101,597,766,108,852,978,748,537,098,797,398,304,173,723,928,
346,427,109,191,253,625,211,603,691,150,182,005,585,444,461,046,440,630,236,
226,416,384,766,573,325,902,002,464,936,359,435,644,355,956,434,590,208,982,
290,601,340,255,478,193,701,772,326,221,227,649,361,609,499,044,935,515,519,
441,511,487,285,560,649,946,690,356,899,006,465,123,711,800,620,050,661,154,
680,919,351,192,467,702,540,810,633,440,361,300,937,852,213,893,806,245,714,
898,347,954,909,279,312,279,364,537,609,908,863,497,441,226,565,970,650,395,
296,304,666,883,010,424,758,134,129,711,226,317,658,717,083,312,484,341,994,
147,769,267,857,379,567,210,137,064,214,729,051,811,987,238,160,598,199,769,
014,984,166,174,019,958,671,538,947,306,616,664,885,039,686,038,392,013,735,
902,821,968,422,968,058,063,065,228,369,776,552,860,095,786,910,278,323,781,
439,282,678,279,813,467,939,278,693,552,900,437,848,194,059,158,963,704,450,
977,892,483,398,093,054,617,350,373,818,150,090,828,074,405,566,697,514,204,
470,756,136,830,150,519,882,203,464,410,094,315,035,438,966,302,136,892,071,
140,456,692,438,397,494,995,110,410,012,953,133,051,741,224,754,405,118,767,
045,698,668,450,214,107,938,038,574,208,150,297,117,107,298,393,135,639,213,
776,651,074,940,164,429,891,608,043,262,373,629,543,313,297,266,868,725,351,
688,893,546,736,081,207,134,022,325,574,354,233,681,790,258,976,286,921,785,
716,930,343,537,402,878,162,142,854,227,359,708,125,953,722,259,355,529,334,
437,747,195,959,533,052,334,388,041,631,632,292,622,479,890,702,954,585,725,
123,713,350,700,792,854,178,896,967,871,537,236,483,382,781,366,606,226,303,
688,727,247,990,904,315,112,063,005,315,853,449,832,194,778,851,056,062,090,
947,226,201,087,746,850,359,808,822,238,362,216,886,536,480,051,592,240,661,
951,652,844,022,120,059,826,812,868,272,894,049,852,104,846,545,735,687,805,
634,498,565,445,095,693,776,687,370,748,769,106,307,076,830,337,945,234,364,
202,500,135,374,861,548,613,237,531,707,307,064,672,554,790,409,159,043,191,
758,905,236,920,240,262,355,933,530,994,753,094,499,726,802,001,651,548,609,
079,805,781,870,277,323,970,754,684,525,364,421,523,303,058,422,549,881,838,
685,152,565,498,525,371,118,292,290,943,834,007,095,406,727,492,529,882,092,
629,224,624,062,840,033,494,696,836,458,315,741,761,961,148,658,559,576,263,
403,015,691,497,886,771,543,368,528,181,320,167,343,634,700,696,755,953,171,
969,313,562,032,822,842,438,366,110,757,327,665,792,508,101,451,316,454,769,
082,191,157,103,280,010,719,718,063,737,241,060,214,492,688,916,417,337,392,
446,061,999,502,688,441,236,791,179,273,437,644,885,396,244,846,702,847,567,
664,050,265,849,106,918,248,380,521,782,691,032,908,509,949,062,294,729,916,
273,249,247,873,274,266,862,456,738,322,530,309,833,855,702,614,396,317,940,
483,108,523,562,212,457,522,560,552,467,297,718,434,379,563,306,113,779,023,
029,369,847,390,554,509,464,124,982,113,491,800,943,657,585,699,899,344,518,
863,628,432,082,734,593,153,865,343,481,521,018,132,819,991,111,791,678,537,
886,939,678,822,796,538,503,645,646,345,249,989,571,680,605,082,482,338,667,
128,066,793,852,640,619,461,223,749,422,668,474,815,841,832,089,285,984,461,
480,736,406,726,848,776,068,519,210,269,467,553,364,467,891,535,060,017,485,
165,526,452,945,066,716,788,828,065,892,679,609,464,922,080,263,090,003,764,
884,912,835,441,587,763,652,942,977,990,736,245,913,725,346,263,813,684,874,
798,339,974,249,339,412,034,162,929,138,014,755,302,574,486,930,222,433,451,
292,403,470,949,785,247,589,165,847,851,195,694,776,971,976,083,107,386,756,
108,634,288,026,140,394,503,544,706,578,638,711,745,386,728,571,368,402,864,
609,936,333,215,579,145,934,974,771,375,552,200,224,990,102,854,338,883,884,
234,820,446,470,399,755,830,165,602,324,403,606,674,352,785,104,644,019,804,
684,102,898,983,532,175,735,497,181,330,647,439,240,525,595,078,451,967,680,
696,147,229,464,307,019,117,828,519,928,909,844,534,349,256,495,020,487,189,
581,366,493,210,863,988,470,505,040,653,273,060,173,814,553,506,464,940,753,
866,782,985,322,781,144,496,498,297,094,013,894,244,945,564,873,431,791,232,
597,340,341,376,427,566,411,230,305,745,515,950,756,108,242,328,098,579,860,
633,407,455,467,350,219,477,607,444,182,406,698,724,572,134,395,855,443,364,
826,934,566,439,485,251,144,899,352,066,236,401,214,053,904,542,590,828,732,
665,336,642,642,865,882,817,666,071,406,227,115,181,121,870,747,782,871,958,
374,161,661,612,247,584,611,162,268,321,865,047,059,846,489,943,441,583,969,
929,901,213,846,023,660,671,376,563,566,684,676,350,301,079,547,971,543,094,
605,374,860,664,048,939,913,039,925,127,793,722,690,453,455,638,672,863,133,
779,766,263,755,660,242,574,865,310,212,307,692,287,462,198,742,056,281,631,
225,795,804,730,919,837,211,295,193,187,092,414,402,300,690,710,334,569,485,
663,857,606,904,242,163,044,249,187,877,260,484,280,090,035,490,842,841,672,
624,159,284,068,369,721,808,375,413,812,235,991,053,152,254,452,106,393,375,
158,048,535,814,300,389,329,786,154,309,535,814,097,843,988,831,298,329,221,
663,307,811,482,266,068,099,786,328,854,810,857,457,008,856,158,076,741,666,
938,733,717,646,414,441,334,669,995,262,257,383,156,898,815,934,402,576,350,
716,020,445,529,387,941,923,176,114,311,203,896,164,772,075,350,546,354,746,
136,954,601,523,978,212,572,111,736,764,574,438,671,626,128,017,617,981,577,
509,675,084,661,960,449,409,757,463,696,533,864,335,981,445,867,367,305,528,
526,036,430,327,637,593,488,791,604,611,396,524,635,513,236,809,959,961,449,
003,835,268,495,791,608,406,665,501,356,193,996,499,827,410,480,336,416,023,
282,481,230,529,163,467,045,086,702,205,133,488,640,754,177,801,069,314,808,
080,619,252,939,035,441,138,295,664,972,366,369,084,119,054,306,082,855,759,
068,539,288,257,049,377,327,549,139,050,056,683,780,291,651,519,044,286,458,
552,072,402,373,044,767,111,455,928,745,054,422,050,977,470,258,428,506,600,
351,554,940,208,295,324,475,720,492,921,411,146,605,112,738,657,649,196,599,
490,852,203,743,806,631,920,625,852,728,355,275,368,688,287,165,834,158,190,
882,833,535,689,122,634,887,146,639,987,587,064,052,496,032,835,224,412,444,
609,570,982,977,731,481,926,095,948,569,353,059,303,258,847,161,023,959,205,
497,742,805,107,217,174,804,126,309,373,955,671,214,384,042,099,148,711,968,
071,499,242,006,952,464,098,818,943,544,511,560,625,588,868,592,040,159,048,
592,161,741,943,979,058,246,283,211,997,853,545,996,447,036,973,308,616,519,
035,697,515,067,700,658,936,299,931,809,052,209,745,122,586,525,986,150,634,
268,840,657,412,004,954,579,070,993,804,948,321,253,014,688,566,107,058,227,
503,430,308,210,599,198,153,015,783,777,037,707,188,436,920,317,738,811,707,
682,851,600,428,686,805,963,401,674,558,626,859,690,577,824,312,540,217,291,
815,799,046,755,968,164,875,583,496,325,463,700,113,741,378,434,250,550,899,
574,862,259,002,726,204,128,021,819,423,396,456,637,476,236,524,619,302,106,
041,735,713,030,749,608,996,966,747,542,527,339,125,784,853,197,300,568,093,
353,251,446,227,201,676,564,428,189,323,886,053,273,988,835,174,670,504,244,
163,045,324,959,226,761,812,030,343,701,222,263,199,459,237,819,344,952,582,
960,872,904,862,289,604,477,876,679,247,861,751,578,263,767,397,797,292,419,
286,421,945,233,135,627,171,311,560,703,002,949,537,261,480,639,240,551,615,
173,000,122,298,701,690,232,907,187,854,334,249,660,835,288,318,963,149,789,
822,358,420,505,489,004,523,601,569,736,936,670,485,957,544,853,519,864,914,
025,984,683,577,105,799,233,756,187,957,471,126,744,105,033,091,300,430,228,
807,673,067,408,415,474,757,693,733,821,397,647,956,560,636,211,014,838,472,
753,042,524,218,348,010,830,179,490,717,959,533,823,284,905,686,829,296,728,
553,586,702,421,005,092,286,379,743,475,796,464,130,088,414,556,890,612,470,
618,531,209,854,826,982,599,184,859,609,235,204,994,787,238,046,414,451,256,
108,242,558,396,898,287,348,628,323,452,429,680,350,769,056,546,873,022,647,
229,988,789,688,412,392,406,496,145,991,637,749,324,837,303,811,775,159,721,
458,104,309,140,969,725,896,534,583,150,560,413,208,204,817,112,745,605,644,
657,977,600,987,261,870,939,138,340,469,173,533,882,572,420,566,736,421,343,
292,610,242,046,843,011,349,108,909,173,063,516,983,702,957,110,821,434,004,
750,445,364,850,055,738,217,247,724,630,177,900,867,602,948,357,572,794,653,
928,864,785,358,662,929,901,111,704,409,518,349,895,722,562,700,230,885,293,
689,078,672,446,884,117,468,569,787,708,259,221,484,420,671,081,015,432,648,
410,246,518,624,335,180,992,226,445,108,619,177,930,306,440,339,243,796,475,
521,049,060,267,155,036,456,631,862,365,733,696,909,396,939,165,399,676,057,
256,864,725,447,497,606,126,202,055,499,165,347,514,363,899,123,895,722,566,
655,319,126,830,691,985,329,183,934,114,343,627,528,932,505,853,049,000,351,
621,678,600,565,507,573,689,498,983,166,294,932,837,693,638,164,082,865,210,
326,371,515,212,771,987,629,150,941,382,925,585,875,065,577,894,527,817,894,
807,099,237,191,182,020,866,879,578,807,926,075,730,053,197,429,542,823,574,
418,116,943,584,484,992,722,656,212,729,897,224,961,475,378,221,870,431,918,
139,091,210,077,835,440,001,322,621,457,627,332,592,260,227,778,581,519,856,
609,270,765,429,909,868,996,876,601,103,301,280,982,262,787,421,610,670,512,
800,937,956,705,917,314,096,009,012,986,199,132,673,383,922,630,429,273,079,
702,079,250,134,240,693,488,967,835,295,835,851,844,160,195,938,951,418,131,
391,071,909,825,229,264,345,338,885,780,620,309,786,930,728,028,498,902,709,
474,850,003,867,980,971,401,225,704,834,874,130,555,777,045,912,854,226,678,
177,600,724,416,591,048,493,327,579,050,541,915,771,976,227,658,419,513,757,
466,154,783,386,818,783,268,318,351,454,629,324,116,511,423,668,228,697,393,
017,497,145,945,255,174,849,141,375,728,906,029,694,787,056,776,255,874,513,
002,283,575,062,195,157,012,681,071,496,418,759,770,737,126,744,307,617,882,
649,672,067,224,101,599,382,730,277,440,725,202,187,114,558,934,599,357,264,
197,446,660,365,539,750,918,370,567,238,978,286,833,616,514,993,911,545,858,
868,547,122,956,346,612,379,238,662,346,665,336,349,876,657,700,029,413,032,
947,368,744,862,507,057,064,077,539,800,942,719,032,511,024,925,640,523,700,
549,133,147,421,751,404,739,538,984,110,222,156,624,127,102,663,939,839,541,
982,589,457,116,069,608,860,662,712,958,284,483,044,518,791,425,513,748,859,
186,890,149,810,298,022,987,178,068,274,819,042,386,013,346,632,961,448,673,
570,558,589,997,545,468,162,019,452,348,800,460,506,015,523,779,668,749,808,
872,946,883,145,796,610,214,963,276,542,429,988,943,238,742,637,907,976,961,
282,912,335,900,923,724,344,253,207,819,419,978,614,248,158,626,363,793,649,
283,478,840,315,903,698,467,247,066,475,864,900,112,009,898,382,067,261,227,
535,084,775,173,514,994,872,805,097,766,282,179,491,213,895,314,024,622,915,
394,006,042,189,952,334,750,197,333,493,430,818,709,014,397,754,434,628,095,
616,870,993,976,180,681,325,943,706,615,722,856,007,038,991,615,571,668,521,
564,158,163,527,010,789,089,704,827,032,275,305,009,776,022,777,527,696,541,
000,436,944,264,123,401,175,773,600,984,528,704,579,169,073,774,002,371,098,
854,500,864,390,812,957,221,774,447,426,402,679,887,029,514,288,846,405,191,
420,647,268,348,069,878,269,906,273,123,847,884,870,027,987,645,397,380,674,
907,286,393,921,289,994,430,685,142,006,758,431,593,467,948,736,152,033,416,
106,105,149,757,122,722,636,593,601,686,862,048,299,006,339,854,232,796,447,
361,493,174,958,668,626,117,545,886,995,483,464,080,446,942,451,219,158,546,
279,266,125,728,454,888,750,232,952,570,385,606,342,051,206,061,768,529,493,
024,171,372,548,048,984,967,951,019,988,310,771,818,245,855,455,290,321,550,
133,379,495,673,595,310,705,828,604,653,215,816,104,811,282,911,061,846,045,
873,151,994,581,877,760,174,580,894,907,143,205,383,523,985,718,563,858,584,
542,726,248,910,869,687,472,104,560,150,682,070,062,119,099,488,573,537,162,
534,847,251,898,285,663,761,963,450,192,856,802,990,879,849,115,758,366,108,
675,790,750,418,066,891,541,220,961,876,608,177,826,051,602,290,199,111,508,
160,458,831,239,789,636,651,099,439,454,165,802,562,242,733,589,060,482,118,
130,913,829,467,709,640,498,003,815,130,057,472,766,033,770,505,194,960,193,
226,670,681,058,740,724,049,996,429,153,050,639,809,262,376,682,846,840,843,
493,895,671,047,517,613,905,950,793,335,939,860,848,307,743,806,881,894,026,
192,758,920,887,955,957,258,068,614,287,734,970,922,833,300,069,068,210,620,
879,149,863,426,341,746,749,883,590,317,922,560,397,913,396,513,575,401,020,
966,375,569,993,422,260,579,691,484,662,064,556,106,043,977,226,432,229,494,
354,016,395,752,581,915,271,521,951,758,330,259,474,814,588,632,846,238,823,
484,634,067,577,655,854,820,988,742,131,903,035,808,075,568,373,170,450,278,
280,970,353,444,370,119,758,126,481,653,200,040,831,922,629,772,611,046,723,
912,652,657,145,694,837,603,450,399,478,620,196,885,260,325,441,489,524,526,
896,931,593,294,034,982,597,158,341,289,472,846,428,455,044,988,800,877,627,
610,676,392,910,937,425,586,717,833,777,775,594,151,744,867,450,053,548,895,
054,502,029,606,109,330,974,737,098,912,195,858,577,429,503,987,780,990,943,
660,870,056,981,778,104,684,760,703,488,905,478,111,456,527,127,069,209,846,
718,349,811,062,463,911,871,652,759,378,567,605,078,974,893,842,560,891,689,
635,419,976,804,375,150,986,863,198,100,814,189,432,060,032,906,466,614,951,
049,942,178,912,223,771,340,429,792,881,859,047,989,303,614,935,833,782,004,
288,841,623,299,153,833,385,374,850,397,392,577,537,978,941,341,832,758,115,
857,815,813,237,150,280,857,254,232,138,757,399,735,680,521,543,056,291,262,
788,496,629,461,479,601,470,245,658,192,316,321,539,027,981,664,452,509,191,
472,650,679,705,589,346,333,346,534,234,021,875,879,067,860,332,682,135,413,
493,246,223,373,935,937,340,810,424,508,874,690,314,000,767,556,874,073,015,
171,743,295,237,736,435,383,366,029,971,171,306,037,609,956,950,560,657,697,
283,741,394,754,119,466,134,154,743,989,240,828,897,800,326,980,826,146,583,
040,541,684,863,496,887,551,465,375,547,970,010,223,991,744,544,483,887,722,
622,949,242,945,601,555,701,875,503,223,942,806,391,061,466,744,898,896,229,
588,920,072,667,701,941,403,869,973,603,172,234,822,720,702,049,029,503,993,
522,409,252,568,011,651,884,556,630,452,882,534,013,538,672,413,963,004,968,
005,303,699,790,375,038,031,976,235,146,692,441,125,561,552,503,511,615,098,
117,586,840,320,752,219,764,696,222,238,071,365,888,233,176,911,490,442,692,
799,510,989,003,057,289,836,597,337,421,087,627,984,292,469,069,721,729,231,
892,913,180,899,202,605,739,916,139,743,266,294,535,756,046,933,771,476,864,
249,675,207,982,744,688,243,929,143,077,269,526,185,308,240,588,498,268,890,
124,681,808,748,633,861,078,595,660,454,376,819,237,783,495,738,634,128,921,
400,813,271,140,479,916,720,838,356,704,321,661,337,680,333,474,762,535,989,
861,877,133,820,980,996,092,816,574,091,518,496,101,605,461,809,633,413,828,
312,474,890,439,310,828,785,148,033,590,030,568,551,746,884,506,967,774,158,
385,138,227,522,325,938,020,292,763,484,629,704,499,667,967,358,921,311,551,
002,730,290,501,220,945,530,494,384,192,841,972,935,710,241,089,835,970,485,
329,308,128,797,382,747,912,241,933,131,294,595,670,724,852,257,121,276,677,
693,441,801,085,167,831,878,415,243,720,026,744,333,218,491,525,985,422,448,
541,719,359,933,745,089,309,059,798,303,248,509,943,306,495,891,741,947,542,
451,634,365,913,064,077,940,150,100,589,962,328,112,907,608,650,640,147,998,
399,313,776,971,421,149,323,664,664,336,912,572,850,307,451,740,909,977,765,
281,664,346,120,125,841,197,430,362,433,208,660,903,534,209,461,180,059,598,
632,892,976,593,176,298,627,600,449,242,338,201,794,579,056,611,877,155,405,
860,015,652,674,837,687,408,700,467,900,763,091,172,739,872,449,846,204,467,
791,933,301,956,037,941,457,891,605,379,868,758,904,158,143,913,204,099,112,
622,488,585,502,926,370,554,629,572,496,381,107,399,419,203,438,899,184,159,
944,413,746,921,770,661,189,032,322,933,125,374,685,712,755,242,917,062,393,
071,412,190,266,608,577,512,841,772,922,270,778,797,839,117,497,980,729,684,
338,526,406,626,690,808,112,008,002,379,070,665,502,071,616,201,756,701,675,
164,790,740,660,174,234,405,343,548,676,542,345,790,730,469,606,734,598,949,
845,083,129,672,661,584,399,904,431,122,310,179,925,291,383,912,820,789,993,
868,362,664,394,024,143,437,765,646,897,696,257,312,788,391,611,682,294,074,
664,983,455,419,079,731,292,560,808,965,544,447,399,933,399,597,834,326,457,
452,590,387,048,005,632,968,186,075,813,638,647,129,026,619,858,659,816,860,
970,031,095,554,891,841,017,983,031,040,869,601,521,913,090,479,344,451,865,
606,324,565,748,607,577,085,243,245,865,895,838,390,916,412,168,632,582,610,
065,233,441,528,600,822,966,491,582,009,472,205,440,580,882,086,599,520,558,
043,381,814,941,578,341,305,505,462,335,567,268,141,476,329,568,008,691,167,
745,930,173,469,004,370,496,662,256,212,358,102,653,576,306,843,486,788,890,
987,928,237,880,143,821,708,075,719,975,153,994,417,284,509,052,563,364,552,
271,517,241,793,703,955,287,435,027,281,960,508,215,099,070,373,795,462,777,
380,061,658,881,976,075,601,674,100,697,705,307,179,521,401,908,776,855,562,
916,748,919,856,466,569,510,925,402,339,354,223,985,141,598,701,591,098,350,
108,907,073,586,550,997,603,280,504,983,688,428,417,878,483,564,623,134,283,
720,609,604,122,195,935,760,631,124,633,397,993,894,115,222,189,205,466,083,
573,865,769,655,524,409,385,329,518,244,606,593,462,222,029,070,394,421,989,
539,275,724,077,695,166,475,626,071,341,213,583,930,178,038,987,009,171,509,
492,219,377,154,063,925,415,114,180,744,177,651,863,898,727,529,354,600,913,
457,733,197,159,033,812,370,550,275,163,015,525,027,238,725,791,564,122,684,
666,344,338,508,289,056,951,495,393,893,767,832,875,604,097,154,352,985,894,
206,535,095,947,754,299,665,873,717,162,238,436,483,015,924,737,226,284,192,
073,350,960,307,018,043,664,097,598,546,571,184,383,792,200,843,821,732,269,
104,375,446,866,543,024,732,843,857,148,521,556,111,244,499,957,616,211,601,
159,101,895,692,488,112,865,956,161,280,495,077,716,727,765,396,843,044,778,
872,472,201,056,546,719,529,178,831,746,883,729,445,526,179,828,787,245,266,
048,559,140,395,852,112,698,676,377,776,495,240,617,638,637,421,585,319,174,
789,506,378,158,182,930,487,542,963,127,688,821,095,698,659,135,492,506,847,
669,553,390,085,387,562,000,466,596,502,249,639,435,225,760,165,295,764,439,
597,702,022,137,295,877,200,484,047,781,075,028,872,922,686,948,697,749,253,
963,439,368,524,048,865,556,322,972,519,019,656,766,720,069,254,301,733,929,
010,542,115,379,832,435,759,709,095,721,871,697,210,389,188,268,663,118,089,
591,108,755,734,250,201,547,528,223,382,764,248,973,503,438,712,405,630,155,
327,803,238,144,319,557,033,603,839,914,837,104,520,770,052,792,300,512,014,
823,305,585,952,899,774,979,389,830,015,208,278,721,774,376,543,167,910,853,
527,856,122,511,902,982,776,449,281,059,801,626,080,783,034,660,963,891,528,
452,777,925,841,391,092,226,110,419,518,842,422,417,094,259,615,003,224,063,
839,288,277,370,826,444,156,011,004,845,167,219,499,457,037,079,331,963,225,
182,050,493,650,113,418,228,887,075,982,987,981,447,663,627,386,292,027,159,
806,943,843,209,684,290,521,498,646,805,798,891,426,673,101,588,467,805,062,
543,358,950,736,649,241,626,026,598,076,075,793,052,986,828,101,032,648,390,
544,390,484,518,577,943,601,107,980,880,124,600,223,205,350,376,673,814,339,
927,806,775,832,102,382,592,615,571,818,628,394,104,654,371,913,203,437,733,
102,746,731,814,400,078,772,113,382,653,856,899,583,273,791,259,887,156,775,
785,429,760,778,546,574,865,342,709,746,348,399,438,083,985,822,418,822,992,
106,381,237,974,664,862,475,991,628,859,597,382,542,521,977,012,284,799,983,
688,086,923,134,563,046,998,833,978,188,658,081,124,728,658,485,627,633,745,
903,939,477,408,489,742,298,445,565,839,416,827,333,286,274,551,981,289,312,
407,038,772,746,820,542,259,855,548,467,609,485,006,550,104,230,734,546,549,
996,602,906,734,909,977,939,327,732,984,095,796,684,716,285,947,473,936,474,
797,753,878,194,633,194,150,566,375,332,533,126,781,712,698,750,417,171,268,
945,656,119,614,801,157,493,798,361,384,546,596,824,865,274,699,204,321,827,
330,142,209,098,530,599,239,622,778,492,518,549,295,096,747,957,088,496,691,
521,471,818,707,861,113,934,863,421,276,876,966,775,812,054,276,114,945,574,
948,400,851,228,451,444,850,001,260,046,094,590,952,190,147,183,635,257,789,
510,916,033,951,917,536,783,766,003,600,115,965,845,155,814,526,685,804,917,
848,820,427,354,137,177,096,078,449,124,783,851,808,456,249,709,903,677,742,
260,920,773,634,560,822,909,679,759,207,572,207,496,026,128,437,902,288,584,
720,940,249,912,230,945,089,385,254,427,457,864,452,956,429,724,912,389,925,
663,254,914,675,426,937,353,000,263,434,225,586,936,856,955,791,032,744,217,
686,186,407,353,193,543,864,642,779,867,444,062,852,237,624,748,279,106,661,
885,777,121,601,273,592,285,417,002,291,483,083,268,555,437,986,536,457,505,
320,374,344,083,888,723,955,459,447,456,567,476,676,689,979,927,436,104,180,
477,579,262,351,699,459,178,417,856,315,962,763,717,409,966,971,896,095,416,
076,461,635,321,785,258,076,853,996,604,437,868,522,947,655,619,664,098,703,
161,184,864,699,489,735,016,568,285,642,111,792,725,209,928,364,590,554,096,
542,018,434,954,684,527,673,863,750,349,279,465,091,550,734,338,307,050,123,
200,914,090,168,870,991,737,461,034,031,872,092,264,007,980,555,846,072,928,
667,242,542,037,762,277,693,039,752,433,142,907,461,809,731,437,261,571,939,
266,178,017,111,317,862,132,075,218,563,923,742,733,292,135,952,518,336,442,
318,607,962,797,493,415,055,780,938,891,327,968,916,660,081,002,815,981,403,
970,048,711,917,474,497,410,830,685,207,902,000,599,269,788,155,915,905,882,
590,250,196,158,740,308,313,527,739,398,474,467,413,835,049,219,517,868,326,
893,878,276,734,861,958,923,608,934,148,570,972,091,502,480,990,048,269,186,
465,691,343,418,546,172,211,062,726,194,466,820,732,086,428,095,252,507,266,
253,056,512,222,384,278,889,122,395,428,281,866,918,679,253,794,819,168,815,
025,277,980,630,062,585,716,286,976,559,444,094,359,525,148,346,668,103,687,
405,704,061,681,262,971,006,366,048,458,315,010,584,964,795,208,139,589,246,
802,412,216,278,474,830,236,105,140,363,273,165,142,933,513,685,087,526,606,
466,276,584,352,183,390,943,273,883,918,521,517,916,799,285,766,548,631,996,
143,458,005,530,924,401,223,929,481,265,793,468,244,910,307,385,587,098,298,
015,052,256,378,076,438,631,082,867,680,827,596,575,326,654,622,825,091,203,
820,661,475,456,511,243,014,469,942,888,397,544,500,536,630,087,645,902,686,
734,499,433,421,799,691,242,348,989,449,290,478,220,088,111,102,783,640,483,
036,609,900,508,581,271,149,168,780,597,090,584,642,304,109,446,814,558,501,
135,071,830,415,263,877,544,555,348,613,925,683,429,456,544,071,238,136,760,
273,630,819,468,175,126,304,131,990,935,603,279,847,503,804,275,563,187,980,
682,599,343,300,510,886,702,041,561,324,699,938,294,389,516,197,243,425,369,
603,678,400,072,540,417,016,466,032,201,855,268,951,603,944,473,338,831,737,
971,702,861,449,740,110,951,803,228,358,215,713,138,579,450,006,102,078,917,
097,297,945,073,647,901,515,608,208,333,747,536,000,552,283,045,261,224,487,
040,378,230,092,894,169,325,629,321,426,313,082,028,662,517,001,221,686,129,
715,217,125,763,377,812,564,016,473,102,674,139,705,026,168,851,755,097,193,
489,753,073,672,122,947,908,673,554,062,233,715,098,387,250,252,765,308,103,
089,871,823,865,025,266,429,471,021,683,143,143,861,725,580,227,881,702,025,
486,317,268,876,933,306,942,949,277,890,560,886,114,237,331,757,618,024,045,
129,738,617,635,948,158,390,081,711,151,597,239,833,124,495,136,988,587,916,
454,358,166,925,270,369,222,598,421,598,039,209,218,253,284,478,267,688,296,
956,497,350,142,485,852,193,971,176,817,553,740,261,171,509,890,161,496,061,
184,820,393,282,628,185,223,718,689,919,998,516,952,759,256,490,178,776,758,
426,472,013,719,232,491,763,223,931,068,469,203,939,576,339,988,107,169,883,
622,244,855,938,193,181,049,283,452,489,935,693,467,855,137,449,846,123,466,
815,080,878,868,502,390,209,062,741,159,000,682,236,573,687,128,298,168,207,
726,987,395,952,136,182,312,711,029,106,985,003,532,680,982,943,428,986,982,
026,118,123,212,523,309,194,882,197,340,941,501,714,714,153,236,183,368,242,
487,228,888,174,568,885,247,297,730,909,119,311,971,576,002,695,131,892,543,
439,117,408,080,013,252,648,463,323,893,169,679,723,098,289,180,555,789,194,
269,583,640,501,494,162,481,290,853,458,845,567,272,515,538,877,184,443,221,
577,683,634,820,335,759,908,375,478,039,225,988,109,613,853,816,821,682,685,
947,055,861,162,734,974,990,081,969,975,683,438,369,460,565,993,473,432,986,
496,041,076,136,489,232,046,008,760,808,027,666,499,054,639,762,895,229,387,
058,114,293,695,429,444,412,434,671,817,488,326,832,648,751,986,996,101,403,
006,515,291,394,577,135,892,425,641,743,600,310,310,773,231,284,497,077,637,
667,304,170,598,151,354,323,795,356,811,296,746,770,614,206,726,194,165,489,
384,290,746,003,383,481,069,905,964,661,498,771,277,708,173,939,739,531,043,
372,603,931,155,590,796,403,230,780,301,400,843,015,628,641,064,668,519,824,
892,325,085,146,013,537,323,774,555,224,675,617,888,366,024,363,950,502,203,
748,599,402,832,490,218,533,127,060,774,580,590,336,941,252,115,757,521,618,
624,633,190,813,152,198,566,703,692,698,212,592,589,548,328,068,461,688,240,
329,735,879,446,383,026,059,935,834,575,029,117,385,513,923,102,554,840,302,
861,064,138,165,226,144,228,970,531,117,748,880,894,158,372,080,141,148,432,
563,934,409,519,321,798,906,892,131,670,076,819,007,157,481,361,096,959,416,
328,533,174,779,905,920,970,377,062,931,437,966,191,863,798,075,164,304,868,
824,436,687,410,892,026,313,085,965,196,629,157,238,404,410,526,229,671,862,
553,130,582,204,816,267,008,748,202,468,932,137,585,208,781,419,150,827,514,
445,371,658,922,397,855,979,477,978,137,313,379,390,537,331,851,077,730,571,
169,205,161,435,397,274,409,013,261,328,398,492,544,171,295,666,737,788,939,
212,010,010,653,606,231,318,494,906,023,509,005,204,158,500,215,502,096,517,
178,832,091,910,457,232,243,427,654,982,354,508,652,416,792,125,545,964,976,
999,378,402,067,808,799,248,944,630,945,876,800,195,852,438,436,180,202,363,
587,951,260,303,969,424,072,444,628,164,522,336,255,659,844,474,570,122,959,
583,631,137,654,894,080,753,398,187,545,170,043,324,879,862,810,556,938,570,
928,564,702,144,235,996,591,475,669,939,746,119,554,229,661,594,608,376,211,
186,620,643,130,191,497,322,656,962,717,457,236,308,134,188,533,845,752,171,
295,235,064,849,278,946,666,122,519,777,330,031,787,942,791,517,667,641,757,
397,368,892,900,288,969,436,635,134,591,410,560,794,676,327,446,382,062,940,
673,097,542,051,141,700,799,388,340,318,085,338,622,918,889,012,403,606,939,
307,919,268,561,305,916,791,816,695,332,952,978,957,680,598,117,361,206,564,
390,210,488,334,731,338,002,515,682,420,004,889,445,486,598,277,042,680,053,
648,052,407,324,010,862,736,388,526,437,159,954,357,551,586,949,423,141,400,
556,243,439,364,325,945,274,401,506,732,275,655,954,884,249,695,919,297,208,
137,567,855,099,681,689,711,460,109,737,657,251,622,950,263,085,946,160,675,
083,201,131,232,107,457,857,143,321,722,187,056,700,595,417,579,959,761,360,
979,786,278,186,154,032,727,421,710,677,638,182,429,156,988,509,624,789,147,
708,570,850,786,795,347,652,835,459,960,447,350,122,517,690,452,903,236,314,
648,630,922,857,544,028,969,003,537,871,319,165,528,026,643,997,532,966,925,
338,591,354,860,266,555,743,332,790,889,011,390,470,749,400,352,397,000,245,
826,633,634,116,670,265,065,679,330,816,731,138,751,444,049,292,564,373,027,
093,606,312,843,889,568,474,822,979,636,794,710,641,208,195,658,406,866,728,
681,415,905,942,069,155,292,346,598,777,633,995,710,853,799,616,558,067,453,
193,131,714,874,062,278,354,546,211,497,261,621,751,653,441,917,816,449,555,
330,886,598,772,141,719,862,573,123,079,380,656,785,433,869,065,453,961,472,
144,164,793,123,801,908,785,782,119,307,732,966,925,622,753,861,794,102,805,
431,148,403,084,185,720,285,458,107,062,454,559,184,975,023,941,864,713,664,
421,941,456,450,343,727,982,070,461,651,289,930,119,893,753,427,948,417,558,
870,229,656,533,369,731,617,619,785,823,316,138,226,353,692,710,677,378,303,
616,776,310,725,399,569,262,583,977,288,418,036,779,802,730,614,992,837,945,
721,273,890,916,022,449,586,182,956,196,148,529,299,114,613,005,257,615,039,
061,987,399,541,454,336,205,566,700,862,226,593,093,751,112,505,985,374,273,
986,946,236,903,611,984,605,002,813,472,487,641,283,869,276,776,632,938,385,
046,115,387,381,910,058,094,681,663,730,173,990,543,764,003,448,969,464,885,
518,352,592,422,925,745,591,658,059,118,064,588,696,436,100,653,073,020,049,
498,905,697,290,540,257,196,718,213,701,278,159,890,365,178,611,562,990,906,
905,051,368,345,699,156,729,760,337,781,601,638,952,076,196,650,121,689,334,
821,831,643,644,499,899,176,985,187,560,321,925,814,446,897,417,621,927,660,
697,145,572,682,160,436,486,561,591,537,641,853,443,403,106,249,345,052,868,
126,368,837,366,019,977,482,346,430,420,281,601,031,383,487,188,773,718,818,
473,987,528,274,234,397,348,439,126,484,452,151,748,272,348,058,291,122,502,
541,441,385,579,367,887,766,709,501,947,366,531,351,661,990,620,314,767,089,
476,334,437,198,337,054,456,298,704,059,887,515,223,739,125,289,429,066,019,
425,412,605,762,886,123,944,991,313,810,083,685,238,759,808,879,359,504,092,
634,369,081,706,987,434,568,064,693,405,510,146,602,250,339,858,836,280,518,
474,679,152,299,562,218,259,619,960,018,353,462,103,654,274,242,666,989,785,
509,216,592,811,564,733,504,105,738,450,277,266,742,253,757,584,322,103,765,
945,431,650,803,348,108,835,732,578,460,010,852,679,467,302,361,633,644,117,
454,228,342,206,791,454,381,822,147,307,739,587,174,080,744,022,965,686,660,
207,043,055,725,119,289,935,985,076,852,374,066,409,932,592,655,062,813,210,
557,817,043,882,989,196,541,752,486,111,015,780,349,001,753,348,047,130,650,
975,802,015,528,986,906,007,570,731,047,553,819,790,222,535,213,310,922,910,
931,444,701,276,619,286,627,428,896,561,732,370,678,787,433,348,749,684,630,
710,613,654,215,881,585,026,552,354,080,548,372,091,539,463,727,329,943,174,
787,108,678,409,614,694,215,419,258,094,817,709,425,837,320,800,100,908,659,
745,824,730,879,539,757,764,829,525,555,316,695,824,390,451,702,604,357,455,
921,865,544,557,150,155,793,859,512,708,209,709,743,792,485,811,675,581,120,
978,860,084,605,240,676,066,268,392,108,467,937,945,274,360,437,733,627,534,
272,960,012,494,336,098,037,347,713,118,367,204,306,240,307,870,675,876,134,
429,206,204,701,747,989,417,243,912,706,610,312,856,172,974,473,035,681,681,
383,954,839,776,001,675,128,663,397,171,522,100,244,220,832,319,934,487,733,
347,108,125,764,828,072,063,563,890,862,168,563,852,743,695,868,251,076,759,
365,165,762,839,061,556,764,978,366,435,067,090,621,387,829,541,002,583,079,
329,128,464,913,778,908,328,660,558,039,459,740,592,909,488,313,041,841,581,
498,729,817,846,984,234,723,036,443,784,806,008,071,124,995,033,886,458,962,
291,757,041,680,322,483,549,898,975,879,341,541,018,331,298,325,303,145,651,
532,395,657,134,479,821,402,572,999,974,229,005,754,056,115,948,284,668,669,
952,328,789,659,894,346,528,190,436,130,380,238,828,846,027,870,857,507,240,
623,946,828,277,294,602,080,487,274,910,258,123,910,572,460,784,264,411,992,
056,850,605,457,935,411,549,326,877,634,090,867,963,289,312,367,710,645,921,
680,726,523,170,721,239,209,654,857,691,979,593,300,463,955,537,954,153,412,
113,306,513,691,708,318,475,278,552,664,589,056,930,430,920,476,164,501,044,
295,421,662,039,809,759,384,172,210,879,519,062,134,853,487,637,934,585,812,
354,521,800,692,698,451,651,366,735,349,712,064,767,543,814,148,533,650,698,
252,691,150,853,715,161,562,562,887,235,986,463,016,748,538,623,121,866,498,
680,382,665,468,070,897,661,001,172,953,729,330,367,701,163,637,864,255,341,
088,794,154,409,832,102,565,762,623,657,259,667,418,065,826,742,723,879,695,
448,669,999,740,275,040,243,751,671,916,240,980,015,835,396,988,295,898,421,
179,423,776,931,325,385,155,235,081,008,363,526,564,956,930,911,547,126,118,
249,964,190,834,081,589,992,042,405,895,527,148,190,477,118,085,306,686,025,
959,360,262,664,533,643,492,045,783,353,486,502,784,592,040,424,439,375,387,
717,822,895,121,409,065,872,661,542,139,966,112,408,192,523,194,957,061,248,
471,428,863,762,826,979,530,852,748,109,555,088,403,825,284,570,044,535,697,
470,332,367,829,975,395,592,576,576,911,469,698,643,017,402,524,568,976,620,
455,274,528,479,915,650,033,227,023,621,720,516,785,424,579,181,646,176,566,
721,964,775,505,726,030,423,569,641,765,010,083,456,678,675,276,734,565,651,
985,835,740,427,672,262,457,048,959,231,241,892,579,747,684,297,808,610,000,
323,502,637,948,243,527,804,088,978,414,838,266,351,819,866,819,257,687,237,
259,992,394,994,456,870,603,232,395,024,587,643,195,640,497,086,511,141,298,
454,536,779,550,869,562,881,997,319,304,220,824,757,014,932,649,445,701,772,
477,594,483,000,651,646,701,819,723,830,118,313,772,111,146,216,495,956,321,
678,861,431,490,079,269,391,963,600,491,774,816,105,216,048,091,090,082,052,
683,192,456,711,409,531,633,662,458,744,080,090,261,910,081,525,449,404,133,
196,033,783,710,267,700,794,904,001,606,192,528,431,179,646,874,163,859,883,
949,149,956,003,887,996,408,589,796,428,304,429,983,249,351,587,530,058,797,
998,061,770,277,825,662,955,470,438,695,019,601,401,790,542,151,371,274,774,
722,590,250,729,030,953,862,489,770,578,184,531,884,633,233,258,763,970,314,
830,941,025,157,339,351,039,067,655,240,104,808,497,898,546,467,545,247,597,
045,698,365,623,685,341,891,784,011,246,255,760,482,525,689,078,809,605,707,
831,860,756,826,124,217,819,858,754,128,762,700,149,454,045,018,803,716,476,
907,360,600,398,380,292,679,849,143,423,193,366,953,804,434,553,854,053,268,
267,361,745,863,604,113,207,854,936,637,708,550,880,057,221,474,903,078,976,
549,751,953,525,377,574,242,004,070,350,722,785,391,610,090,801,391,002,495,
330,074,706,690,446,542,642,642,669,930,555,410,841,075,995,161,490,967,868,
338,739,162,680,258,535,975,173,328,537,743,790,110,338,920,584,912,629,117,
705,570,507,090,778,916,646,665,239,065,194,698,746,678,739,221,538,004,388,
071,265,107,605,337,952,875,792,720,152,477,244,799,360,134,991,654,813,563,
456,970,019,167,863,659,224,046,850,685,105,095,740,325,934,088,919,124,365,
403,519,007,860,634,305,072,425,418,516,935,698,757,669,833,256,574,626,737,
166,227,484,375,592,086,059,381,988,618,628,059,450,870,401,736,918,298,802,
038,988,371,114,521,964,663,169,087,093,021,222,686,971,903,975,807,414,322,
509,469,475,316,605,605,698,590,499,855,929,673,595,465,504,161,924,066,992,
334,407,403,317,155,927,399,449,962,376,909,756,292,256,959,336,603,114,340,
904,177,563,673,061,248,237,565,584,959,996,865,562,682,138,192,553,730,809,
790,157,198,184,257,787,693,207,184,833,403,886,057,304,012,311,694,792,826,
607,424,257,640,878,417,099,844,039,784,057,225,878,491,539,409,825,196,616,
791,348,640,637,772,523,975,548,734,912,607,049,282,505,330,743,312,352,482,
489,951,435,385,831,635,765,567,810,894,603,554,406,250,019,796,166,043,878,
594,106,778,263,082,358,408,528,919,286,671,958,237,748,218,176,730,352,931,
646,059,924,915,049,940,735,767,077,628,138,073,916,986,339,261,989,303,613,
815,816,855,083,014,653,459,394,620,208,676,011,069,365,618,085,533,280,405,
563,875,930,724,449,527,342,188,671,829,775,702,932,649,896,853,824,709,490,
500,610,359,825,910,883,076,502,764,087,430,666,661,127,191,953,875,544,151,
730,000,011,642,241,480,598,809,966,298,967,626,029,205,244,775,172,221,855,
107,082,943,973,510,657,593,955,706,740,644,756,522,355,231,737,523,267,155,
331,404,307,631,186,621,282,872,135,520,489,120,547,401,603,416,734,161,813,
097,223,706,566,577,831,387,854,396,230,903,584,244,198,064,768,315,037,831,
802,366,483,082,203,864,581,895,844,465,511,544,990,752,239,584,078,348,963,
687,675,436,714,050,686,367,077,134,811,952,082,593,586,591,272,660,690,580,
859,269,377,113,575,719,040,403,396,621,506,805,996,918,591,410,294,865,868,
304,300,729,318,755,163,999,813,352,019,125,905,266,238,125,953,006,497,771,
529,400,289,120,289,033,439,505,235,789,497,483,558,708,350,689,709,980,029,
281,261,150,649,889,393,682,177,399,744,786,049,945,904,239,109,753,511,740,
537,939,598,175,107,776,918,572,866,321,828,325,053,331,184,342,218,124,052,
817,734,933,069,259,656,520,469,180,864,275,069,547,375,063,782,478,900,635,
022,926,326,445,266,746,154,945,312,829,853,443,293,850,119,093,996,475,667,
257,386,446,396,607,846,189,529,916,995,936,689,467,356,173,498,141,453,030,
072,407,925,770,992,796,884,805,127,017,783,789,052,794,464,096,802,606,508,
241,815,907,747,156,608,909,621,497,080,198,376,540,359,795,927,463,019,192,
447,942,611,067,514,855,236,080,248,901,588,131,169,324,083,773,683,625,972,
146,284,837,848,838,206,059,410,730,653,265,163,176,773,072,706,975,006,136,
292,370,428,383,847,716,442,860,399,644,675,851,033,714,029,306,345,649,063,
981,713,257,973,814,944,831,223,324,149,050,986,610,360,943,755,921,871,397,
688,988,292,290,843,296,238,009,626,756,962,627,985,926,584,723,697,999,720,
153,736,664,999,644,521,830,368,135,984,935,000,373,074,286,692,615,221,326,
582,610,069,038,238,048,222,388,235,968,814,211,189,528,897,427,383,480,629,
855,488,755,131,457,343,860,088,390,053,110,854,593,484,788,724,395,012,130,
596,193,206,904,582,491,275,566,437,588,515,356,136,464,022,404,982,396,694,
290,433,865,986,031,313,473,167,093,333,647,607,033,899,711,873,714,744,034,
856,990,453,355,593,097,796,483,044,935,429,103,481,952,554,314,989,510,253,
764,665,079,524,746,666,391,366,223,773,390,964,856,544,299,067,961,165,541,
864,316,519,593,804,420,512,144,871,924,652,561,248,915,826,278,457,664,045,
090,904,828,612,260,046,656,832,875,531,390,706,440,243,163,738,014,764,421,
627,028,746,561,057,230,035,767,151,255,395,621,622,484,349,416,758,892,931,
754,204,632,944,552,313,483,036,220,134,109,645,542,710,212,931,979,400,773,
049,711,260,906,974,330,983,499,463,754,301,805,513,059,036,594,772,543,004,
463,445,555,588,322,300,184,863,818,711,872,901,905,406,835,626,204,071,125,
359,923,095,501,481,328,593,209,796,317,638,278,730,946,500,379,871,473,037,
241,629,658,761,401,258,838,802,154,842,831,996,333,905,402,142,791,522,999,
483,896,791,461,779,518,422,828,150,786,975,588,371,789,641,901,438,659,798,
654,378,007,229,728,883,621,432,349,720,559,245,537,912,806,217,770,699,178,
468,935,725,881,788,374,826,494,953,070,417,970,527,006,841,450,765,635,738,
484,040,425,320,111,297,247,165,723,746,478,544,980,891,179,734,046,888,332,
747,084,663,109,136,637,356,137,671,986,730,709,282,594,320,375,399,233,014,
758,788,773,972,842,466,613,558,641,268,851,815,879,274,867,741,223,252,123,
439,926,082,808,490,368,439,214,491,301,368,252,847,491,696,832,293,849,941,
791,322,017,344,215,665,889,121,968,162,283,819,780,237,496,477,032,468,818,
149,492,778,097,447,839,175,036,628,010,355,247,161,102,863,110,667,729,568,
936,352,644,260,737,758,339,564,444,529,711,495,301,972,524,020,324,349,698,
114,648,801,990,984,115,926,137,616,179,903,092,868,452,677,526,896,442,424,
372,870,056,407,822,919,944,292,036,548,581,344,827,376,288,552,099,260,994,
003,613,383,746,067,830,289,258,537,421,352,193,701,758,236,031,073,807,089,
683,248,881,606,127,014,497,663,417,333,149,941,239,739,045,869,647,420,295,
833,611,757,494,310,702,355,302,781,847,815,152,686,453,996,464,380,780,752,
362,466,816,324,008,558,213,363,348,526,157,269,761,436,137,504,946,521,129,
091,575,104,908,218,856,511,524,202,274,099,913,273,729,462,918,235,119,246,
290,351,833,136,330,161,979,094,294,594,848,088,706,400,576,904,346,986,710,
975,089,848,951,864,421,754,247,274,306,836,114,994,456,210,655,339,853,603,
729,132,721,501,534,565,220,249,601,600,810,482,221,525,610,404,536,131,706,
592,464,346,169,559,799,923,337,839,069,233,882,418,849,951,225,751,381,764,
272,253,313,199,569,072,733,966,604,474,535,969,684,103,873,515,867,540,334,
849,010,378,191,815,020,311,038,832,971,376,123,025,094,648,600,219,585,456,
868,657,948,751,002,498,265,110,134,910,014,462,196,143,304,561,988,687,268,
406,438,028,320,066,543,927,294,464,744,887,318,031,139,611,163,801,778,524,
423,347,155,800,746,609,245,125,779,456,233,713,527,769,459,559,266,402,390,
497,167,966,546,576,134,229,952,195,011,274,601,820,129,590,468,299,132,423,
938,279,117,016,479,946,008,083,379,472,320,643,466,465,852,356,115,194,231,
239,111,266,285,344,684,997,389,127,478,717,480,093,709,824,301,734,185,389,
274,199,727,924,508,310,615,937,643,857,031,515,789,774,074,413,819,147,889,
250,047,211,560,942,855,324,809,260,282,692,443,264,421,813,219,997,032,365,
176,960,415,528,398,916,280,771,085,707,683,350,812,455,630,345,036,310,700,
402,444,083,386,837,392,091,868,369,965,259,057,803,185,829,312,289,869,537,
155,577,928,261,782,871,268,357,704,223,863,468,887,593,560,356,026,046,943,
529,567,725,616,544,523,817,612,374,106,563,616,256,456,474,283,311,942,511,
049,538,375,491,618,097,427,555,012,264,266,038,335,282,149,021,162,003,019,
845,605,386,682,521,701,769,290,572,612,172,277,950,458,597,260,795,835,793,
992,057,704,747,905,935,387,587,485,737,643,316,118,854,439,456,454,951,507,
034,607,956,952,710,250,791,964,005,822,718,571,613,174,665,994,518,219,801,
176,970,621,950,371,081,457,726,873,949,440,342,329,114,761,468,638,960,084,
049,670,296,058,521,045,636,148,351,347,176,691,036,753,362,841,749,021,113,
806,752,478,214,612,165,784,530,526,561,738,766,961,550,522,943,160,210,320,
108,662,914,228,872,925,198,889,403,459,355,281,680,294,271,627,173,632,337,
598,478,181,049,667,284,490,253,273,446,077,539,375,488,705,505,035,829,447,
967,575,913,406,763,134,237,664,675,008,619,764,388,280,072,218,172,410,692,
016,433,347,430,443,360,433,063,844,107,360,213,896,341,649,986,642,152,313,
009,844,431,000,111,043,114,342,895,172,919,488,931,154,766,296,823,711,982,
288,513,016,063,635,287,055,024,986,284,592,175,025,837,546,521,444,400,982,
570,643,849,945,972,311,579,929,320,205,083,395,041,344,751,377,532,100,696,
285,407,169,428,313,893,189,653,263,991,567,146,569,666,787,252,653,202,769,
477,253,252,269,177,010,801,911,828,042,331,281,740,213,181,025,842,673,423,
153,291,099,254,885,787,483,150,137,821,185,406,389,550,847,090,152,960,969,
675,199,028,065,468,125,015,014,381,181,891,659,692,144,564,536,988,927,650,
192,873,846,414,028,766,997,761,294,428,575,496,381,885,439,059,445,472,453,
197,259,512,595,427,014,756,874,158,355,585,646,451,025,063,631,413,215,061,
930,949,300,618,510,876,571,352,330,333,850,586,811,430,633,811,130,876,497,
056,522,503,247,177,893,337,319,216,916,280,439,563,924,479,737,503,327,729,
940,926,553,957,254,423,975,551,649,753,339,397,295,367,266,705,659,557,171,
721,289,680,054,599,721,065,066,891,849,994,770,491,188,517,099,513,104,246,
659,373,282,312,023,783,507,599,809,348,065,832,198,877,200,621,637,608,687,
113,599,497,565,567,417,585,829,449,608,217,819,334,499,031,822,621,804,547,
872,883,918,492,512,721,908,189,545,625,042,464,101,506,637,881,719,639,718,
235,481,055,979,240,669,170,414,908,063,622,282,045,898,843,497,243,042,540,
525,487,190,824,312,967,518,234,243,534,805,313,163,794,928,226,448,609,215,
615,653,631,840,086,072,714,107,206,524,468,337,082,064,708,932,550,078,483,
427,417,133,294,892,774,982,485,254,513,019,994,322,987,035,773,459,425,396,
714,710,576,244,321,911,943,518,669,133,501,370,077,761,272,507,305,053,319,
156,772,348,334,557,471,830,291,157,458,535,631,805,461,209,481,042,387,071,
912,255,738,649,774,693,734,163,302,525,733,996,240,700,564,442,398,149,650,
112,250,127,356,104,936,968,478,016,478,537,619,219,423,203,145,780,516,898,
590,891,012,724,505,083,243,157,090,449,502,562,002,230,104,830,772,744,805,
487,103,667,675,074,260,814,196,862,335,489,610,325,089,666,293,719,953,132,
277,183,643,034,753,382,703,917,678,425,581,697,203,941,473,589,230,520,157,
576,420,251,655,678,770,465,299,707,853,153,759,706,865,978,810,216,720,567,
951,987,156,712,363,290,231,208,841,305,592,244,092,156,996,204,074,369,518,
707,085,775,901,217,026,545,562,215,733,921,471,261,525,764,710,188,789,870,
277,683,469,531,527,745,058,571,952,317,855,695,469,532,567,078,803,112,948,
181,169,895,857,226,283,271,967,739,270,286,671,174,429,792,603,026,409,894,
371,534,904,970,052,591,168,415,309,373,101,729,264,090,014,022,767,650,478,
854,892,142,985,371,408,367,021,952,801,552,283,744,558,552,512,661,130,307,
849,847,920,592,313,915,344,765,512,646,689,299,936,910,142,200,273,217,224,
748,950,996,353,213,153,056,006,704,614,048,963,887,908,441,461,960,389,091,
081,036,065,721,960,664,199,766,314,080,329,447,718,006,167,813,100,841,698,
112,880,752,207,117,041,738,971,165,928,557,506,657,400,839,848,338,024,348,
148,964,055,994,382,172,127,729,888,472,300,106,773,118,426,029,090,219,083,
143,133,145,098,801,747,322,426,614,710,465,545,542,428,815,484,303,942,969,
358,872,888,471,565,336,231,204,445,674,901,217,887,581,174,297,213,838,823,
301,850,790,570,225,106,385,320,610,239,854,812,376,259,699,721,294,369,801,
542,198,767,491,940,468,636,243,223,821,731,645,325,788,879,730,761,057,876,
905,702,306,590,447,203,316,205,807,217,520,755,847,961,311,054,225,859,271,
053,054,326,380,161,736,075,422,579,855,064,963,390,452,046,854,564,781,901,
148,799,415,852,388,900,161,685,279,236,749,675,949,635,194,257,563,615,561,
009,649,065,053,266,863,663,097,732,990,930,862,203,857,214,761,524,092,592,
213,401,868,016,115,346,554,093,929,148,347,404,871,110,920,142,773,057,809,
609,062,201,474,818,118,689,557,861,573,048,191,167,767,945,124,683,210,810,
450,722,757,006,802,818,816,316,016,916,637,879,120,910,262,234,696,526,135,
170,709,064,080,432,187,465,786,930,040,190,708,490,814,672,604,190,046,605,
358,484,805,514,211,104,540,927,942,942,791,935,678,913,347,126,478,664,689,
889,976,907,012,979,893,192,133,264,820,216,926,708,570,216,026,306,609,815,
253,725,106,073,513,451,623,735,533,333,786,644,466,755,581,724,670,456,539,
795,877,731,878,266,323,579,860,929,510,673,557,833,843,368,738,756,413,632,
517,786,854,346,913,638,233,885,507,598,580,081,735,795,164,746,975,164,846,
844,243,806,026,771,623,873,122,616,889,623,381,496,886,948,899,057,224,346,
789,719,849,414,880,945,044,512,539,483,037,609,007,391,020,102,567,303,395,
396,746,695,131,361,989,515,420,192,183,346,775,219,666,708,538,854,664,517,
230,568,886,320,136,212,493,597,056,933,857,887,935,162,041,595,320,840,635,
178,690,133,275,448,081,857,295,463,047,364,202,478,677,348,452,922,056,409,
115,324,844,433,776,188,385,468,231,073,046,021,094,523,644,206,853,814,347,
282,254,192,470,030,586,238,915,415,261,369,621,410,998,994,913,483,040,126,
915,513,051,768,667,646,976,044,693,044,402,452,029,934,119,915,360,259,291,
518,153,336,717,669,274,406,169,555,996,125,533,947,967,440,277,215,575,819,
313,810,539,791,715,617,340,900,499,905,691,037,040,336,670,494,134,146,556,
503,492,599,937,342,763,049,031,665,543,659,458,885,260,969,543,578,965,039,
835,909,787,169,539,011,066,135,125,301,294,176,703,883,591,961,115,672,307,
246,294,980,474,177,699,936,888,502,556,274,789,392,349,356,148,558,744,160,
761,020,620,294,691,110,351,453,639,243,339,109,135,473,618,686,332,608,361,
771,166,863,217,708,923,822,961,815,424,966,019,698,942,295,406,582,757,522,
788,892,032,919,462,629,139,160,993,011,522,071,201,956,394,459,033,697,977,
770,817,411,491,585,855,570,680,751,594,695,390,455,316,948,790,278,533,616,
872,297,611,147,614,406,907,395,707,550,464,212,913,718,265,536,444,552,092,
382,341,702,885,868,124,362,078,332,012,172,490,800,431,363,851,646,095,293,
797,329,187,317,813,357,101,867,157,374,718,833,167,669,442,021,750,880,341,
340,024,780,977,363,555,699,907,496,936,812,507,065,802,440,123,202,694,240,
554,227,238,953,931,243,430,961,442,652,254,467,292,733,398,067,673,700,789,
956,608,094,217,567,841,598,221,728,726,571,129,059,140,941,607,516,214,082,
047,360,225,904,913,840,407,827,605,889,932,030,267,125,826,693,275,667,611,
871,797,072,460,279,736,082,904,500,095,016,970,120,408,153,040,571,476,471,
932,647,933,065,410,857,999,664,027,530,734,353,607,286,880,950,051,926,254,
152,537,939,181,414,252,386,649,188,613,113,721,443,958,839,585,042,558,930,
125,049,508,065,591,983,725,311,750,480,350,506,559,818,918,775,079,312,486,
829,001,726,121,018,643,740,948,955,754,181,914,416,108,986,604,568,283,686,
228,806,379,930,379,035,528,440,737,230,312,615,130,241,497,655,440,018,087,
765,227,796,207,186,020,054,429,322,929,704,122,185,896,942,102,557,555,398,
621,765,182,850,629,918,517,210,826,139,137,351,881,720,684,447,196,225,164,
334,807,365,982,757,008,789,316,949,255,649,713,712,674,184,367,381,134,736,
664,843,919,181,586,251,533,908,661,719,533,999,546,927,954,985,568,682,322,
636,634,049,051,600,653,419,863,549,559,583,853,655,245,425,733,410,229,221,
213,875,311,060,033,162,363,361,885,233,028,099,144,998,503,600,311,304,538,
245,834,384,685,236,979,166,201,402,862,842,100,222,758,308,345,556,106,409,
068,249,303,052,687,174,795,224,466,104,926,152,966,757,478,810,039,565,871,
284,383,422,153,102,342,607,060,570,661,647,733,106,221,345,808,061,286,051,
898,813,997,503,745,787,322,199,199,206,046,517,693,424,016,953,922,458,659,
629,350,737,427,779,862,733,103,400,446,829,711,411,346,611,154,417,391,724,
782,232,453,899,465,256,249,064,944,684,961,312,576,227,461,288,752,952,080,
958,054,042,300,954,859,127,797,470,973,550,952,047,959,081,850,801,376,816,
720,103,212,889,897,211,195,667,159,535,789,561,510,057,970,521,863,788,776,
435,089,857,051,269,306,402,686,533,254,235,445,396,726,222,828,212,919,400,
103,952,866,064,036,788,905,809,044,146,534,869,000,000,672,992,786,555,325,
858,995,400,356,654,634,387,594,347,378,252,930,716,894,834,393,798,508,790,
660,315,935,424,927,737,103,866,813,745,247,617,390,830,007,310,021,141,252,
624,132,242,247,816,892,622,498,811,543,605,912,266,305,974,906,673,714,827,
846,489,912,940,852,292,955,290,146,814,404,624,910,999,599,150,005,110,203,
709,659,694,108,131,637,008,872,523,329,877,466,554,878,868,173,848,547,511,
414,883,917,925,890,480,545,954,119,947,426,692,809,772,188,392,121,069,674,
056,340,426,051,536,169,637,177,780,274,202,780,817,117,563,909,144,572,654,
381,143,654,376,499,655,501,073,379,031,244,171,904,929,680,030,708,962,102,
431,308,533,464,467,921,107,466,318,388,623,863,867,686,538,236,923,515,738,
902,792,776,220,817,678,747,958,509,945,860,009,664,166,380,843,830,905,988,
964,916,109,464,694,905,600,063,335,368,063,322,583,349,644,990,280,592,469,
802,218,673,970,597,741,919,328,840,432,257,236,086,206,294,398,303,101,935,
077,953,726,182,212,274,684,079,842,881,987,869,666,107,578,902,166,879,710,
217,465,126,853,568,539,049,553,534,077,372,675,225,513,375,731,745,344,422,
751,168,913,592,499,814,306,361,127,427,526,422,255,071,597,455,425,273,505,
024,959,750,932,055,029,977,484,041,146,691,989,417,397,331,608,199,055,840,
989,980,241,612,969,667,507,499,297,352,075,249,233,004,376,960,828,622,255,
816,440,537,318,784,598,544,601,549,825,225,432,104,921,263,153,814,097,505,
600,617,677,097,251,801,039,627,247,999,795,058,565,552,134,208,879,729,431,
047,095,599,509,197,664,651,328,828,053,233,131,423,866,223,902,100,739,875,
524,891,762,031,300,063,614,515,065,403,704,333,408,895,380,791,483,383,700,
077,101,614,484,829,895,548,689,645,519,034,913,614,921,745,671,116,774,706,
014,446,281,120,692,744,532,752,628,034,986,633,768,599,300,682,436,092,392,
169,700,608,114,843,995,926,640,219,978,024,985,742,149,504,618,073,666,188,
608,093,550,746,764,868,917,884,019,418,772,912,602,178,743,156,063,390,359,
156,669,447,745,017,711,959,718,834,967,300,672,394,691,963,344,632,082,223,
336,879,014,903,979,673,388,833,213,406,608,463,159,744,417,343,136,178,090,
339,481,477,929,819,929,645,059,163,780,048,766,209,415,813,634,989,816,472,
833,611,420,448,829,824,064,015,327,120,560,910,721,504,619,683,962,271,269,
573,643,393,517,211,854,083,990,818,534,897,241,170,745,789,549,922,401,430,
017,589,584,721,346,424,655,344,505,272,833,876,997,454,144,647,174,020,609,
910,892,965,304,679,177,845,936,441,476,688,532,294,018,671,583,117,260,449,
968,413,331,653,571,733,219,252,128,230,079,426,672,773,610,791,957,509,489,
656,929,849,837,026,964,065,486,480,807,842,966,465,322,981,803,012,629,928,
562,898,630,972,785,726,914,618,745,367,709,380,930,759,094,143,171,812,352,
840,049,760,293,283,912,776,104,173,660,708,549,422,987,057,229,674,536,779,
258,391,720,827,672,789,672,650,101,430,150,651,785,685,249,825,452,159,592,
224,350,066,739,979,225,184,019,760,535,442,607,321,276,792,613,303,375,827,
414,500,362,697,594,636,160,831,696,475,293,122,258,908,298,738,200,878,708,
795,582,015,999,987,711,158,440,541,288,453,934,008,220,484,717,832,974,577,
297,801,002,242,991,284,675,609,531,619,414,169,475,858,367,588,149,091,745,
274,898,184,380,280,207,792,107,209,338,457,447,491,054,684,466,321,405,378,
548,225,230,310,339,459,350,709,012,478,887,897,271,103,534,851,280,363,465,
759,849,097,909,525,188,211,402,791,802,251,177,146,153,442,358,722,729,968,
636,779,809,859,782,013,712,800,234,446,861,284,724,406,318,322,953,677,740,
052,432,340,452,210,256,050,554,699,483,750,964,666,559,376,576,550,184,966,
597,881,274,461,746,462,377,651,056,543,241,327,380,355,435,794,593,391,556,
072,519,700,174,529,070,522,216,938,349,552,158,971,422,466,366,204,782,584,
588,356,669,779,843,398,851,906,519,001,229,661,642,719,368,698,632,623,146,
872,249,697,439,397,954,845,069,332,725,959,104,676,421,129,706,012,091,194,
457,870,275,789,502,520,239,714,808,363,591,884,548,120,506,921,472,822,983,
329,883,506,654,891,920,004,057,258,935,167,151,828,150,601,076,168,567,704,
492,552,823,475,844,382,459,348,498,831,768,968,419,631,642,215,808,951,251,
106,254,864,645,501,236,466,221,705,942,935,321,874,584,401,702,159,317,359,
805,119,227,454,690,272,987,765,712,736,808,563,366,937,299,216,749,416,427,
400,663,628,026,971,460,876,181,419,139,371,718,413,364,388,898,991,721,732,
762,739,832,618,906,648,315,761,747,903,876,181,808,971,370,465,152,762,141,
222,132,274,207,454,584,659,841,780,362,456,178,994,351,365,333,288,012,560,
045,172,083,217,577,481,767,519,348,197,055,486,518,728,290,311,933,046,081,
827,338,283,901,531,347,087,865,324,943,617,847,190,975,532,989,329,327,845,
956,294,170,324,975,445,461,731,258,579,824,534,586,053,687,313,538,818,454,
887,176,752,935,913,311,975,876,313,659,157,067,945,544,764,713,048,532,064,
802,612,625,854,991,186,402,595,960,180,610,805,014,159,730,840,269,977,971,
270,574,342,747,852,760,493,524,481,550,831,021,399,665,091,280,730,198,285,
177,083,988,905,353,754,983,377,615,625,786,413,362,193,474,666,627,324,634,
085,145,540,610,946,516,702,696,380,442,674,550,055,334,452,883,027,089,846,
252,278,823,489,654,632,220,674,014,558,454,952,394,382,986,114,572,991,543,
873,740,869,309,430,534,218,804,051,000,206,767,487,808,783,198,002,383,110,
617,892,475,731,889,989,745,385,025,549,491,715,803,500,312,064,032,140,337,
549,748,934,426,668,220,834,974,111,694,495,565,933,736,887,822,847,666,041,
370,730,007,661,357,539,040,724,340,240,818,420,827,635,204,998,788,710,510,
702,120,522,375,952,157,119,646,763,891,342,024,609,480,728,332,119,529,761,
301,185,329,229,841,429,164,056,143,330,923,821,478,341,537,579,879,616,139,
452,172,232,722,110,101,118,126,207,747,862,390,221,640,179,554,255,991,287,
032,151,420,406,308,514,876,674,782,469,892,697,416,532,904,633,756,599,495,
016,538,882,420,907,529,774,937,417,949,894,637,470,559,733,087,751,841,141,
420,629,618,389,710,149,582,878,129,587,805,431,549,946,629,449,029,668,892,
749,816,003,781,236,392,017,713,811,177,406,893,646,822,553,341,386,768,437,
025,775,795,526,332,734,815,780,871,926,286,179,882,273,162,903,004,638,986,
908,946,726,556,890,128,013,866,996,443,520,483,812,996,333,247,517,768,901,
679,905,001,956,069,846,281,844,311,697,570,258,401,912,849,691,003,545,125,
871,933,117,176,302,615,939,910,049,820,856,911,552,820,779,262,626,260,074,
482,575,775,733,867,728,926,174,153,846,936,219,196,392,312,335,249,516,284,
530,311,874,287,806,298,408,190,466,230,889,363,218,954,809,969,236,584,326,
907,837,762,031,999,964,070,013,246,277,034,069,057,212,146,174,403,949,941,
481,494,474,363,076,346,080,278,323,090,121,896,044,100,343,359,856,492,953,
528,971,337,265,295,815,775,506,168,231,308,256,954,798,128,401,671,115,259,
356,425,787,734,222,657,892,708,094,038,489,938,053,740,776,715,066,460,209,
806,098,098,042,230,326,850,675,672,289,628,460,256,332,591,552,616,130,451,
859,435,308,337,160,449,851,796,945,609,433,487,232,933,072,566,913,324,567,
902,087,952,520,244,302,129,144,486,727,502,388,140,149,613,339,096,454,677,
806,375,781,861,452,008,178,997,888,913,542,237,198,915,788,016,943,871,573,
855,486,035,307,499,357,718,022,329,704,626,263,647,748,073,962,407,881,986,
592,550,883,115,052,927,870,845,955,977,545,458,413,089,016,578,286,408,420,
884,341,145,185,398,612,571,594,202,175,799,305,705,156,501,327,860,923,370,
412,010,519,466,283,284,113,735,327,975,681,605,896,638,189,339,112,971,388,
676,329,048,581,089,352,689,936,657,209,182,387,518,644,520,389,687,772,812,
096,552,240,591,398,820,613,322,115,500,220,272,561,684,317,601,421,349,058,
347,656,075,787,014,497,701,568,960,165,434,203,760,575,270,301,616,769,196,
494,421,615,506,542,222,045,941,443,032,799,313,738,789,738,415,593,341,205,
082,128,695,690,422,711,036,591,193,139,501,276,007,289,373,445,208,814,422,
878,679,876,255,289,638,824,901,336,375,524,356,476,784,305,982,886,358,924,
660,913,810,675,647,646,526,590,276,062,713,329,011,948,297,468,745,477,336,
375,955,768,313,796,466,937,260,392,263,440,674,291,875,091,027,084,523,604,
842,217,256,600,964,755,321,797,294,330,041,010,357,756,783,803,241,920,108,
785,712,571,994,420,029,376,971,493,151,661,366,972,506,088,815,686,278,367,
637,182,530,053,529,651,296,699,669,774,428,093,546,968,201,133,749,250,375,
653,400,594,044,484,509,978,148,070,285,041,502,468,230,432,116,968,753,787,
929,312,943,400,518,114,996,297,955,591,757,875,793,039,333,834,023,910,866,
484,256,472,809,067,250,600,030,694,266,760,674,004,064,841,830,134,615,682,
205,575,780,633,015,778,338,468,138,693,042,523,165,700,301,461,389,137,920,
235,327,832,786,634,522,939,093,084,456,383,833,521,766,899,332,521,745,855,
053,820,039,737,376,719,196,319,909,558,548,930,036,079,295,620,321,895,382,
473,025,886,434,804,773,269,394,355,644,650,537,474,532,301,429,001,031,955,
503,465,040,222,523,763,847,417,561,628,932,883,872,692,624,634,579,287,973,
652,584,630,921,105,706,265,523,213,289,667,434,324,444,723,641,190,754,010,
665,820,879,267,456,138,595,133,690,108,074,788,441,522,968,328,428,487,542,
302,828,215,821,929,949,661,940,129,930,710,178,250,348,067,055,159,710,721,
333,251,975,743,967,646,452,509,361,436,515,708,474,482,407,430,879,611,923,
047,489,876,248,717,696,383,575,669,681,213,020,797,770,310,008,206,606,291,
751,677,180,074,197,055,905,019,571,101,404,912,494,843,924,826,907,731,530,
537,349,289,722,773,608,390,531,833,699,591,033,126,712,902,019,172,174,079,
162,110,918,969,573,435,621,973,045,347,702,212,866,644,978,831,965,821,734,
027,138,485,665,055,541,579,730,078,129,578,016,897,401,934,190,593,453,293,
213,645,152,205,209,605,319,431,322,297,615,981,445,394,764,134,637,810,805,
455,746,210,743,344,840,684,154,398,022,922,178,533,843,363,815,625,798,044,
442,410,703,559,607,345,165,839,547,322,980,525,790,505,115,904,139,763,468,
984,952,357,370,936,360,974,068,872,823,902,908,356,047,272,146,300,526,321,
054,214,820,473,189,093,321,114,877,948,229,768,310,235,150,036,446,928,385,
298,868,585,342,207,549,423,099,904,320,436,751,724,143,685,224,862,269,282,
263,493,599,920,349,447,589,038,454,653,661,210,862,156,507,257,713,630,697,
325,925,778,546,857,403,269,420,577,424,573,910,333,156,491,219,463,539,200,
702,858,885,901,453,472,240,783,440,595,252,077,804,264,886,217,899,291,102,
231,247,703,640,092,169,787,422,736,011,336,120,266,767,669,582,291,776,563,
974,577,181,769,547,491,595,809,232,778,788,567,108,768,870,046,566,465,597,
584,161,556,442,064,395,160,319,300,912,271,415,724,117,623,820,602,160,435,
118,514,592,336,512,631,754,480,462,409,984,519,001,289,576,478,813,682,812,
018,667,821,115,138,848,730,040,233,896,683,476,642,246,732,925,587,546,874,
092,694,188,897,545,005,679,311,164,268,090,469,860,209,467,419,086,547,700,
297,574,054,218,174,983,690,240,211,274,865,936,073,001,815,051,914,782,460,
443,270,013,094,750,395,167,498,628,912,813,832,315,801,228,983,018,022,222,
365,249,496,729,308,653,512,780,070,506,989,281,241,921,013,029,389,825,589,
963,617,188,723,397,340,436,342,130,485,956,258,958,091,330,408,383,179,664,
974,771,310,001,304,391,858,091,222,467,945,748,187,648,202,771,148,599,229,
350,394,265,763,790,630,493,168,789,580,894,312,824,402,721,717,589,938,952,
604,555,111,461,932,731,260,896,384,430,078,566,294,293,709,428,668,823,635,
971,007,732,847,633,720,241,393,100,459,645,451,080,332,549,098,888,710,431,
690,136,827,314,008,470,363,637,901,387,336,119,617,041,140,722,441,824,803,
082,898,153,124,237,229,889,755,517,077,027,999,916,333,796,582,739,545,347,
143,966,441,091,515,751,049,063,580,107,344,990,083,347,883,421,557,817,352,
246,924,972,701,499,347,625,716,096,362,921,038,509,772,326,856,365,164,195,
786,978,489,167,585,865,825,202,869,546,951,745,520,769,205,756,338,413,273,
122,377,023,333,457,085,719,640,248,011,025,236,801,232,442,253,160,240,858,
804,055,802,811,038,981,206,046,470,412,470,765,411,065,245,128,388,679,217,
743,378,240,606,322,291,054,504,401,572,299,659,432,660,380,125,747,009,076,
655,300,405,164,066,723,589,476,207,300,730,535,684,047,125,103,060,788,086,
579,456,986,523,958,390,709,800,503,632,079,180,999,045,608,118,468,358,711,
076,785,074,770,254,151,230,086,553,193,631,032,296,021,213,682,070,649,662,
403,578,061,261,064,814,063,004,079,942,961,909,120,028,242,563,513,316,023,
033,036,877,849,588,692,657,463,195,964,843,023,135,144,323,842,009,866,862,
852,585,703,530,580,397,105,230,777,166,351,935,615,062,639,373,753,103,322,
310,971,618,679,708,870,359,524,366,998,609,559,128,856,269,970,769,870,595,
902,741,194,041,788,936,849,046,085,064,316,296,096,957,529,328,761,415,271,
855,692,016,576,160,103,306,479,644,981,575,282,135,764,227,514,769,344,422,
133,080,190,743,059,186,821,274,861,209,468,372,928,937,977,252,110,321,348,
106,341,855,429,290,316,485,717,946,337,829,329,684,313,907,328,731,355,999,
564,281,878,160,148,827,001,852,986,537,219,871,539,392,813,389,552,221,657,
579,889,836,872,640,467,275,503,488,611,655,941,224,103,461,980,100,164,269,
402,430,685,244,680,049,398,967,678,377,074,219,876,978,153,658,944,671,806,
276,033,803,844,160,588,520,804,952,138,428,584,253,674,691,090,039,425,423,
363,487,691,513,183,863,216,766,714,817,557,638,431,915,693,032,932,826,637,
464,516,927,843,665,075,440,200,852,655,444,075,092,355,437,174,023,366,473,
200,569,146,042,182,883,379,006,780,355,025,377,445,891,877,472,608,309,063,
920,491,404,236,963,308,937,254,849,088,901,272,630,733,505,719,264,645,278,
759,549,749,507,283,368,740,428,006,708,325,338,943,604,036,508,994,701,645,
936,607,728,979,733,889,332,678,460,409,763,359,669,115,636,510,807,202,552,
310,357,382,157,064,332,058,885,635,528,597,860,179,824,852,080,112,257,762,
718,666,798,596,054,157,159,916,140,431,244,818,233,950,203,555,120,666,283,
077,783,549,631,907,578,461,802,106,255,575,944,660,002,884,706,613,292,588,
132,569,984,551,659,748,332,486,159,184,323,469,268,051,228,188,632,906,986,
682,481,031,007,470,817,876,213,964,787,206,862,199,254,634,279,160,615,186,
471,918,627,816,575,945,723,391,955,208,758,026,193,074,893,973,941,213,064,
508,140,384,421,106,701,290,909,540,134,349,032,564,279,821,405,614,282,114,
829,842,864,102,493,150,496,466,635,880,964,953,166,681,409,762,776,779,579,
652,008,664,010,019,169,049,643,171,712,437,136,551,251,921,286,460,968,276,
593,811,865,486,595,018,146,644,349,462,322,368,357,777,403,843,568,127,773,
927,695,549,790,188,404,709,735,423,895,999,252,750,026,182,515,567,166,319,
334,236,614,876,941,347,831,183,818,719,028,407,217,812,784,568,693,381,975,
889,315,897,343,475,134,581,996,453,023,067,792,431,643,343,360,196,762,472,
952,007,652,589,892,190,846,447,136,219,938,984,505,111,318,563,039,571,772,
754,049,816,090,897,187,297,146,895,997,167,966,712,326,079,125,719,302,706,
986,281,716,648,458,351,507,084,615,079,151,335,236,126,061,586,605,773,850,
273,526,972,982,881,761,474,379,918,716,041,416,266,245,645,130,670,027,106,
363,264,693,279,369,669,116,891,992,184,933,092,845,881,194,517,648,794,848,
971,716,110,479,857,588,584,715,177,688,842,554,903,096,562,362,732,774,592,
570,445,662,300,336,138,045,103,252,559,483,853,360,785,248,980,856,638,095,
428,788,099,327,232,758,427,393,449,165,376,130,031,558,562,667,140,169,830,
454,771,928,406,732,059,149,730,871,120,719,175,046,576,453,743,857,716,867,
861,048,614,159,416,878,145,982,754,819,037,431,105,805,915,641,993,341,229,
359,419,428,692,955,507,797,508,635,839,553,997,569,312,496,253,940,603,306,
909,203,775,949,029,827,712,489,397,670,989,368,904,692,544,227,162,403,138,
681,796,352,339,211,882,161,048,516,145,182,273,982,920,573,470,594,560,411,
568,112,099,862,656,309,581,928,682,792,199,572,442,363,506,429,614,141,079,
416,865,137,488,710,380,835,938,488,311,071,163,917,447,403,993,986,465,852,
847,443,984,681,180,366,595,601,887,502,978,532,015,705,345,565,033,065,062,
959,478,391,958,462,806,656,266,221,207,855,174,469,648,520,851,095,066,460,
530,977,546,733,174,222,878,281,905,998,664,031,390,745,182,050,352,174,231,
431,282,973,404,314,816,987,763,212,008,547,181,273,216,238,192,296,667,934,
635,844,439,044,016,288,300,124,930,663,906,898,176,862,999,692,415,639,119,
788,203,192,945,437,621,635,959,972,383,583,123,580,941,312,751,405,503,767,
699,563,665,206,022,233,539,115,323,485,543,893,797,460,916,309,602,216,556,
385,193,701,564,795,851,273,302,008,663,941,189,344,199,873,301,313,334,666,
486,519,895,748,206,406,361,209,033,292,264,714,816,792,777,361,729,076,263,
381,216,859,201,602,193,055,525,801,886,573,697,635,369,218,679,714,495,297,
298,422,385,177,733,937,465,602,010,052,083,502,020,839,903,722,023,000,425,
498,791,396,912,921,172,391,705,043,606,841,385,157,804,960,263,253,456,852,
757,492,604,932,170,379,020,305,625,125,126,144,413,125,684,029,849,299,778,
990,721,405,080,705,375,341,793,510,671,520,616,403,393,526,000,104,988,065,
686,284,441,013,714,268,116,763,384,563,174,958,545,053,476,290,059,196,214,
779,323,949,518,179,553,628,864,044,475,453,238,669,085,877,128,850,011,381,
260,886,492,448,868,274,945,470,808,608,894,236,622,302,387,139,704,732,128,
352,912,619,168,095,910,394,199,998,001,333,725,906,862,876,517,904,200,601,
322,125,507,837,116,659,914,703,506,194,051,540,394,010,611,201,075,353,667,
636,219,883,389,080,331,711,877,993,395,770,068,494,302,340,653,274,184,474,
916,587,002,397,374,194,123,090,524,141,515,564,877,448,313,537,382,260,998,
158,073,417,000,154,084,873,730,670,103,314,425,355,700,635,817,191,865,289,
523,617,871,129,101,362,071,341,876,800,951,162,181,618,210,430,536,661,787,
383,913,805,825,897,902,281,163,281,455,855,520,432,947,861,741,851,544,700,
322,040,604,300,168,785,324,125,635,376,934,810,794,414,140,011,485,704,350,
082,436,030,659,674,475,611,245,638,703,575,238,091,738,641,196,111,549,162,
916,259,622,408,917,118,152,883,643,721,177,066,014,683,223,220,963,147,566,
430,108,538,985,721,188,245,609,395,000,637,070,867,573,090,062,997,977,014,
038,989,636,579,128,538,710,917,555,580,836,229,284,474,405,766,172,099,144,
448,259,114,622,318,152,041,554,999,162,345,756,722,460,455,009,008,422,692,
911,754,049,787,325,800,518,846,105,452,791,243,453,366,974,401,965,081,711,
950,186,040,917,120,797,728,580,847,917,454,672,697,439,800,026,987,523,844,
638,554,983,625,011,886,122,838,712,822,616,212,769,933,651,375,384,357,631,
258,301,873,833,655,430,831,712,313,946,611,690,489,233,601,556,594,073,248,
827,008,901,003,069,573,319,227,456,098,830,049,885,897,099,651,972,162,451,
862,520,652,816,361,707,827,831,955,105,289,117,257,876,527,196,446,268,038,
038,476,502,628,975,687,491,105,321,100,148,679,853,728,003,530,714,768,508,
416,442,603,769,279,115,265,379,091,225,491,188,044,917,741,462,225,971,040,
761,622,836,504,890,803,598,189,030,267,573,735,400,845,755,549,148,126,945,
196,931,291,093,372,604,720,434,501,839,405,760,943,686,200,314,686,034,994,
072,404,253,552,258,581,259,121,681,379,230,561,622,898,598,000,437,115,948,
658,144,530,220,113,949,362,592,714,349,856,383,239,089,943,373,965,415,474,
497,017,498,350,255,095,609,579,502,561,137,651,118,445,832,895,363,554,311,
626,244,067,098,925,538,294,141,188,340,972,497,800,706,895,491,133,834,476,
947,480,633,813,740,826,097,169,631,249,945,649,488,421,421,877,537,343,059,
307,778,615,224,837,119,752,412,668,005,195,758,047,247,479,684,117,354,101,
579,438,183,548,366,628,867,492,732,534,143,092,225,966,264,038,844,878,285,
680,527,493,827,379,501,526,630,895,721,385,745,943,679,630,647,174,486,930,
117,736,014,862,427,859,916,365,696,986,043,062,057,385,141,283,021,545,678,
557,235,544,923,438,745,982,018,161,835,705,924,721,731,911,725,294,873,154,
606,120,460,323,284,651,677,744,235,851,278,889,726,062,133,593,826,542,129,
145,855,129,483,684,392,173,908,932,398,899,710,033,583,798,397,386,353,135,
451,881,203,151,290,244,149,708,922,305,627,286,030,587,333,425,154,198,468,
447,626,932,354,864,614,379,330,636,195,881,117,777,556,837,858,707,089,628,
954,244,498,037,819,787,745,802,487,876,673,446,979,666,975,300,121,103,736,
597,431,524,004,891,327,570,581,402,393,377,977,329,228,098,302,759,123,119,
233,729,940,529,533,577,142,519,664,234,294,778,016,412,820,777,149,057,521,
332,337,360,087,903,823,173,398,128,050,338,256,482,778,141,028,851,730,260,
203,226,369,191,000,065,736,505,602,871,931,599,647,859,482,087,368,008,398,
056,258,709,513,168,022,710,844,261,222,840,307,355,909,654,164,918,478,534,
698,061,021,139,411,918,223,907,139,950,020,749,289,381,550,082,463,535,659,
568,174,225,059,493,899,054,473,740,355,709,650,796,321,766,541,832,290,349,
526,487,134,161,547,248,451,700,867,954,646,849,557,447,891,853,753,206,017,
097,176,476,089,595,185,389,008,799,751,237,671,511,636,212,090,136,199,378,
926,611,082,791,903,763,412,564,582,422,912,909,902,727,507,061,952,161,620,
740,799,504,077,985,702,792,053,254,703,884,506,186,901,155,421,929,856,581,
296,313,808,618,130,488,335,550,073,517,347,394,382,070,437,418,796,107,033,
989,555,774,683,684,984,607,670,211,938,530,152,444,345,719,322,613,657,899,
604,478,713,572,447,495,421,595,209,837,836,894,567,077,958,546,121,369,099,
149,006,710,892,251,216,384,104,197,492,738,707,389,731,407,636,786,598,318,
687,740,576,718,056,301,605,713,379,206,965,959,883,012,657,616,408,648,144,
145,230,081,560,102,630,930,031,840,715,892,622,991,592,380,901,051,367,735,
680,511,175,885,392,604,079,624,828,254,316,455,085,585,942,628,684,291,867,
184,711,710,312,125,324,966,710,692,731,670,577,687,380,573,313,033,536,442,
762,211,717,642,491,265,727,810,636,422,343,425,450,639,662,558,652,213,802,
808,418,781,835,449,960,328,327,990,194,597,975,247,275,217,109,222,246,783,
582,199,736,075,898,977,870,157,306,102,262,487,463,757,758,375,763,787,218,
455,239,987,453,036,434,760,452,020,270,775,085,765,438,295,096,556,694,124,
508,433,832,281,627,118,257,250,756,528,898,248,876,242,969,806,931,227,199,
122,119,005,241,967,638,389,296,703,615,003,094,067,617,100,451,192,707,520,
824,366,503,851,845,198,954,632,541,972,651,937,492,901,201,423,346,530,120,
331,982,425,909,787,037,881,161,659,895,393,678,310,271,643,087,530,263,630,
550,965,866,433,316,282,606,566,602,805,233,006,222,933,142,407,150,012,406,
280,723,877,216,946,798,036,535,810,738,230,025,166,278,146,122,886,608,058,
650,241,414,462,287,770,151,492,179,780,198,686,790,930,244,527,023,073,194,
156,128,504,761,379,750,564,050,954,197,636,315,368,282,487,071,957,975,467,
150,554,103,893,285,754,270,846,908,105,547,758,797,446,114,924,228,340,126,
902,229,972,637,211,884,293,908,073,006,435,569,127,225,562,521,895,535,206,
720,548,572,476,221,355,136,348,794,782,119,583,185,276,252,976,869,776,853,
770,878,116,737,447,293,153,681,792,078,333,291,707,694,444,655,223,246,979,
306,639,078,330,011,054,808,552,185,374,170,701,260,089,630,812,531,345,986,
633,130,421,062,292,623,910,929,246,041,844,471,854,822,892,324,128,662,992,
013,572,075,133,865,048,657,704,519,584,153,786,524,612,408,036,714,958,969,
196,215,092,317,717,801,524,570,820,336,625,944,216,419,395,403,671,119,753,
476,695,695,226,949,521,967,667,719,685,593,870,018,763,389,023,751,995,041,
028,543,178,681,957,714,604,112,292,296,331,281,671,484,461,648,757,322,050,
550,760,592,434,373,592,669,526,654,817,024,987,761,770,770,795,948,815,258,
260,353,825,516,247,838,604,827,148,095,573,010,356,805,010,549,115,964,514,
485,148,745,563,232,884,999,827,584,669,889,544,093,335,420,654,774,679,996,
418,460,548,263,101,624,415,267,077,141,193,032,055,788,052,609,726,801,104,
116,892,617,033,462,633,325,069,506,385,679,732,101,681,672,949,375,135,614,
353,742,113,142,887,163,671,497,486,968,727,796,864,957,507,735,254,015,230,
111,220,400,013,546,884,437,526,184,698,309,729,993,965,270,378,970,927,999,
438,500,847,236,592,294,618,265,166,076,936,273,661,834,469,170,131,726,152,
342,156,422,504,047,318,034,066,883,297,383,433,041,665,337,200,875,951,966,
052,826,146,069,909,058,670,476,097,921,232,704,384,638,552,718,409,936,372,
621,095,572,820,576,542,423,426,720,747,931,224,934,919,863,407,124,584,696,
993,137,546,482,441,937,692,198,474,308,632,301,087,909,464,083,143,055,931,
280,387,551,380,760,950,944,089,942,851,450,959,781,676,559,443,110,798,467,
424,603,505,415,192,770,371,726,342,321,647,422,623,826,036,511,098,946,125,
996,899,974,336,631,468,111,060,424,626,367,823,330,069,340,439,905,000,069,
372,061,969,724,977,946,234,824,636,986,069,226,862,484,000,255,873,490,005,
928,928,339,528,870,967,390,002,422,331,511,573,599,020,056,317,727,834,896,
515,058,632,262,126,586,013,683,920,981,695,500,087,235,783,455,899,238,773,
166,724,955,745,445,650,037,411,354,312,075,220,464,319,898,103,003,250,242,
674,849,639,399,593,123,888,674,019,610,357,617,633,299,526,994,833,497,133,
897,563,253,525,691,965,170,910,253,844,556,955,351,313,496,615,525,578,480,
979,368,057,870,058,268,441,628,647,494,266,309,683,193,565,850,347,107,516,
922,499,371,680,777,052,576,008,569,440,317,711,128,695,096,229,210,551,320,
038,223,850,930,643,575,818,534,380,163,078,653,614,920,210,046,064,194,710,
503,379,882,277,716,321,529,878,818,746,122,972,818,761,754,218,945,621,282,
771,354,677,072,417,132,778,513,962,184,175,349,328,557,893,744,915,796,196,
729,540,869,659,482,941,431,397,246,870,469,770,396,814,279,583,265,310,191,
389,941,642,244,732,686,866,770,923,517,057,628,277,026,896,120,878,464,035,
616,170,843,487,315,424,122,113,975,048,780,304,431,395,217,057,923,201,320,
481,314,484,439,643,841,945,942,505,885,914,572,124,170,356,553,111,480,559,
612,984,409,836,462,094,837,319,712,251,716,054,598,079,533,840,274,960,465,
134,391,785,961,427,246,975,875,028,418,836,835,565,706,749,314,190,373,709,
512,079,828,009,809,817,970,197,733,879,920,242,460,074,507,466,340,941,063,
448,691,143,788,242,904,197,804,262,053,568,847,949,665,999,591,273,151,940,
903,614,062,264,790,735,299,897,936,559,638,523,432,642,189,515,579,078,280,
018,520,940,131,983,400,337,589,217,691,781,627,083,132,641,933,772,381,823,
035,132,482,468,629,661,861,867,424,394,322,165,170,141,712,922,268,159,846,
318,485,887,556,890,474,919,038,408,558,505,700,307,980,236,096,584,021,243,
711,654,532,623,887,204,669,605,104,673,787,841,707,544,244,219,240,217,001,
925,881,744,794,251,501,870,812,325,059,975,441,203,415,424,715,281,186,428,
035,487,655,866,876,439,056,101,197,136,074,027,623,010,836,754,397,303,722,
053,419,561,384,579,432,025,991,932,876,857,883,610,160,528,408,791,015,967,
647,448,324,643,753,743,652,100,260,234,901,564,542,531,286,795,129,338,604,
408,545,693,667,867,805,600,918,722,704,544,032,282,302,750,396,722,139,328,
260,246,606,072,452,252,395,748,088,828,912,563,104,332,210,644,026,417,386,
159,175,280,915,550,755,318,949,309,585,126,428,558,966,300,871,245,176,309,
489,725,994,044,358,094,943,506,021,682,079,976,658,652,873,221,424,418,444,
144,810,289,695,577,573,411,784,376,135,322,936,670,328,453,336,834,902,458,
214,997,656,698,752,166,499,247,541,107,599,138,445,285,616,969,300,773,298,
105,654,444,059,425,231,333,290,490,439,596,293,462,822,864,475,572,879,677,
029,531,732,352,669,403,133,479,320,828,110,623,569,387,893,821,451,557,550,
250,596,769,033,919,676,182,978,740,831,797,488,409,915,001,172,534,079,643,
947,654,419,401,401,594,348,321,590,847,889,440,199,834,909,265,821,468,538,
719,473,157,103,561,876,989,259,976,405,104,191,773,732,251,777,147,294,414,
755,689,462,077,169,135,925,821,379,222,116,731,212,249,730,432,514,567,616,
842,751,954,893,779,090,430,361,166,158,265,050,249,919,672,352,656,017,444,
578,122,525,179,130,897,465,711,791,507,951,687,763,636,316,411,786,146,696,
198,654,912,804,557,570,334,895,963,833,707,196,332,917,717,749,891,279,595,
251,951,425,986,383,328,127,212,071,411,380,012,696,137,117,395,359,964,588,
286,463,643,695,607,948,168,102,841,198,768,312,598,890,103,298,707,689,775,
413,326,510,455,937,656,158,345,718,929,701,773,237,669,128,320,790,585,607,
778,063,393,370,984,321,065,077,465,457,244,752,793,243,938,427,965,352,779,
958,776,110,318,715,146,084,548,251,487,838,520,308,345,213,144,451,209,040,
657,254,297,202,916,099,392,577,199,222,396,430,236,032,163,996,904,385,685,
592,767,328,364,188,368,121,309,930,961,837,097,444,089,071,526,157,627,534,
641,826,862,015,987,170,528,763,577,132,657,653,549,168,689,065,657,523,686,
987,554,554,978,890,064,408,672,651,762,409,299,716,396,450,174,168,456,695,
494,278,712,193,849,893,296,695,830,833,112,896,236,309,689,728,325,181,731,
142,632,232,754,096,816,750,219,826,108,547,440,372,372,634,956,335,302,555,
280,948,899,156,640,728,782,160,438,556,547,331,774,625,166,992,596,883,698,
213,924,206,112,010,740,715,408,365,706,122,782,759,924,278,687,620,408,065,
755,289,181,697,646,346,324,609,398,961,579,142,294,674,681,932,158,584,593,
046,506,582,773,063,165,265,764,666,549,212,744,542,635,358,747,830,153,982,
974,702,773,960,338,739,222,986,766,394,039,938,146,643,338,928,270,247,099,
860,137,542,911,189,109,286,255,876,795,539,525,783,422,268,315,540,443,386,
103,779,133,721,778,774,758,750,030,490,991,685,883,579,095,742,842,704,815,
214,137,509,202,195,029,748,318,048,428,770,964,404,392,539,418,064,572,811,
675,158,958,287,545,992,649,989,618,482,937,114,871,591,838,652,349,196,957,
046,896,048,448,722,970,409,724,542,792,970,492,679,388,880,496,555,014,086,
113,517,356,257,022,096,696,854,440,287,377,261,496,376,561,233,972,982,999,
485,734,716,746,643,805,747,897,858,125,315,780,710,473,092,211,126,529,419,
848,810,530,716,236,490,154,105,551,270,586,922,989,020,791,792,294,537,911,
623,386,717,978,587,945,307,534,932,965,777,941,354,874,855,980,135,866,799,
759,982,460,689,604,913,024,743,091,387,468,080,642,023,588,338,576,372,184,
317,251,667,261,432,890,122,786,530,356,995,461,297,220,440,789,826,867,014,
839,361,462,663,509,202,229,172,228,328,065,539,400,006,212,550,975,909,020,
225,735,589,140,678,344,132,886,882,884,029,129,485,629,087,151,237,246,383,
919,895,306,914,554,126,854,214,408,307,603,020,555,701,901,708,070,541,561,
950,189,646,671,911,119,672,605,498,169,483,086,543,935,076,402,471,982,537,
972,085,674,390,537,308,310,964,408,603,930,407,430,340,917,990,238,051,109,
316,608,542,786,528,297,519,728,677,450,631,905,478,643,415,545,119,707,374,
934,931,273,203,991,556,585,760,272,220,411,975,195,008,476,075,819,008,795,
052,294,726,189,764,010,798,174,788,964,076,304,919,242,624,703,967,436,417,
168,512,040,232,930,435,055,558,964,560,437,156,580,548,154,819,767,565,949,
869,067,501,868,274,012,673,985,178,222,441,226,121,589,962,320,195,577,016,
322,384,314,784,352,921,867,483,143,111,374,404,083,728,410,685,973,997,587,
765,964,293,903,660,798,753,052,075,488,794,467,082,855,888,006,033,002,933,
302,686,570,555,114,284,765,104,555,397,832,871,787,923,820,938,014,783,124,
191,602,247,049,997,264,918,036,326,959,394,420,441,514,672,038,161,295,833,
503,354,647,250,515,348,771,448,969,772,586,692,316,410,007,947,637,929,405,
834,133,247,131,318,141,335,008,788,461,098,094,957,178,550,011,894,210,581,
833,543,010,486,508,347,305,274,216,451,004,854,768,654,089,673,777,069,922,
981,243,962,195,816,637,101,595,222,353,483,176,226,925,171,683,241,482,758,
117,500,898,750,711,798,068,408,272,977,919,169,605,911,236,870,446,934,503,
506,024,246,280,688,260,412,539,809,211,534,597,914,866,180,611,575,490,780,
145,479,166,985,553,973,929,945,610,723,085,743,136,070,682,723,975,870,604,
930,991,660,910,180,431,086,889,423,527,635,707,358,004,793,478,384,419,204,
635,203,397,521,345,057,750,818,429,924,345,056,087,378,730,561,058,681,182,
638,901,696,281,317,296,552,437,897,343,699,781,320,418,273,067,832,873,233,
355,789,026,726,806,302,412,442,701,693,277,385,842,663,021,497,825,753,286,
404,884,389,729,344,274,428,566,016,817,108,169,888,341,722,897,102,159,055,
322,678,137,877,720,566,525,749,389,266,460,835,424,755,187,887,289,864,747,
645,610,978,056,601,196,118,426,945,533,371,567,821,084,519,363,813,115,922,
263,873,410,861,179,010,161,165,067,054,470,704,379,252,337,997,500,768,321,
299,615,216,898,869,559,220,110,765,570,115,005,515,964,955,379,370,815,655,
983,014,963,038,572,820,863,356,186,411,416,851,420,612,985,758,175,272,473,
002,013,736,024,051,997,073,126,438,522,256,098,185,940,650,430,386,869,085,
321,208,913,814,607,333,001,633,013,071,530,955,876,008,151,914,347,298,512,
885,754,593,107,084,125,059,863,216,051,388,395,153,461,967,488,011,840,579,
118,568,234,771,600,618,375,915,788,670,149,063,892,094,939,929,428,623,353,
564,115,443,880,848,263,842,812,739,126,213,407,917,245,116,896,957,755,452,
300,847,297,137,461,368,181,073,506,653,188,626,466,517,389,550,526,555,472,
378,066,520,480,032,224,345,282,190,641,815,387,402,049,177,888,908,596,514,
223,766,687,684,049,916,793,707,393,095,263,766,693,889,856,822,354,702,268,
295,904,147,230,241,024,606,966,764,230,294,581,625,809,905,696,159,717,739,
731,678,048,428,182,452,159,207,151,387,264,459,088,286,754,827,015,833,141,
412,184,020,658,680,934,676,329,543,915,516,509,539,458,631,551,674,357,831,
628,729,600,597,614,867,057,311,139,715,337,212,696,117,366,055,192,902,159,
983,288,621,298,648,174,038,913,466,498,470,695,818,472,642,077,144,831,440,
802,577,267,856,453,875,069,507,477,383,201,314,036,746,003,360,612,447,842,
961,305,572,884,941,810,285,668,515,933,953,928,252,746,940,032,652,043,438,
495,530,892,098,042,383,917,632,000,073,489,340,380,984,871,040,352,359,127,
690,699,615,363,535,375,592,513,988,698,644,346,155,289,529,112,462,699,866,
515,256,820,103,291,307,224,381,281,411,419,870,235,286,153,651,910,291,829,
433,621,759,349,364,911,571,907,176,332,391,686,540,245,072,708,281,710,618,
868,348,538,627,748,888,892,876,006,545,081,036,381,149,171,380,785,987,296,
707,819,729,457,510,981,326,917,650,973,439,673,702,507,987,554,689,341,678,
018,150,464,282,617,499,396,257,863,777,044,485,828,444,566,831,702,532,870,
256,823,275,282,982,112,102,872,037,432,262,815,244,933,221,415,326,429,504,
344,618,500,641,950,417,266,430,030,823,593,108,321,689,873,005,589,543,139,
060,636,845,497,354,552,657,190,782,333,540,665,285,866,310,918,229,591,181,
227,047,024,180,788,667,343,218,217,035,612,989,120,360,573,795,778,241,146,
644,453,957,127,122,459,440,687,999,599,727,402,240,717,669,387,636,019,928,
489,643,934,174,883,188,570,709,128,845,822,819,169,870,416,124,423,535,249,
244,906,041,618,203,416,640,478,992,664,451,004,441,775,518,432,039,933,274,
616,910,635,279,761,982,243,652,287,195,704,692,380,884,801,490,037,757,335,
786,511,354,586,310,325,370,728,153,437,729,740,179,608,788,109,995,481,531,
115,312,091,688,953,366,786,217,437,149,869,060,628,972,164,984,350,996,563,
911,029,892,448,835,805,773,014,090,289,608,119,433,593,437,357,704,154,355,
382,350,519,508,525,251,445,985,164,913,409,639,446,843,114,555,138,709,045,
726,249,972,476,787,720,269,999,831,023,449,761,990,915,010,717,555,838,214,
262,819,283,257,771,800,974,079,736,278,445,368,914,832,482,780,976,288,921,
480,862,860,643,176,525,210,595,164,815,156,875,558,525,699,522,039,762,129,
933,344,898,572,123,494,369,106,626,544,894,738,016,699,042,488,566,063,340,
631,067,835,560,114,326,227,539,253,427,263,100,251,305,489,206,541,275,936,
374,832,507,244,508,719,297,931,282,767,308,616,535,507,756,595,729,632,886,
103,434,148,288,025,186,655,670,971,647,404,709,473,451,485,899,215,655,289,
470,302,260,633,722,100,015,425,922,007,890,520,238,633,613,457,393,712,901,
915,097,053,154,192,982,156,723,176,354,143,075,569,164,175,969,180,261,306,
180,405,340,277,280,860,024,672,975,286,761,980,382,661,450,208,363,899,366,
849,931,569,569,404,822,794,707,683,695,028,392,670,162,016,976,467,380,916,
137,013,996,521,300,265,969,996,479,386,238,013,221,010,125,711,290,344,630,
558,607,230,102,555,406,351,702,950,974,680,733,179,740,950,796,702,710,582,
804,741,804,786,609,360,960,281,732,111,447,327,443,536,611,286,287,370,858,
896,081,279,843,851,121,361,611,627,042,759,345,139,792,401,526,474,252,036,
480,060,054,457,604,974,566,249,938,606,028,812,379,356,457,127,404,176,065,
680,011,359,951,450,394,096,040,260,957,126,815,629,027,050,963,862,155,496,
292,581,199,214,152,913,967,836,019,138,011,132,944,621,100,470,279,126,459,
336,318,143,436,622,326,508,607,495,431,312,346,327,488,464,574,923,662,968,
911,550,481,506,035,733,140,927,552,299,559,601,834,512,476,380,264,476,827,
700,715,981,438,600,304,750,269,665,397,286,752,019,855,037,509,259,785,709,
177,527,451,079,072,028,048,028,314,166,153,663,209,888,479,953,891,579,471,
566,656,351,311,908,309,092,825,557,747,446,415,524,864,348,884,832,997,526,
645,533,192,225,045,876,738,034,821,584,852,110,942,899,203,512,115,921,231,
114,098,716,358,612,382,967,312,299,056,353,729,638,594,186,244,944,640,820,
743,857,899,911,720,872,676,832,824,549,177,569,027,683,611,269,116,364,648,
114,808,421,020,373,785,806,330,257,633,969,407,121,308,334,353,142,436,297,
409,894,920,149,489,791,688,865,974,361,350,314,165,867,674,768,797,279,841,
124,223,992,162,632,084,630,665,765,407,098,134,707,310,415,799,270,725,068,
370,011,485,098,961,018,103,007,700,099,868,637,606,573,020,830,787,107,608,
486,250,630,501,887,467,967,901,911,865,049,737,138,766,371,932,080,065,281,
165,608,842,528,745,730,221,727,295,980,387,508,215,471,398,709,810,932,372,
689,762,997,246,458,810,858,852,351,425,000,083,076,537,668,406,501,688,303,
869,345,858,656,291,223,320,020,551,341,201,694,197,464,029,748,804,900,011,
816,491,683,886,406,722,133,342,835,190,340,052,697,594,180,442,918,168,593,
860,624,709,748,923,635,887,385,384,087,875,769,415,324,890,322,734,962,753,
857,048,215,437,324,194,157,065,679,231,456,542,316,595,574,091,716,829,954,
591,340,099,313,041,006,373,874,007,907,357,993,722,136,045,514,907,588,318,
588,280,688,284,161,685,601,219,024,123,198,248,923,728,452,149,004,485,232,
835,550,812,423,937,387,815,223,678,489,460,591,796,747,594,666,312,487,694,
835,264,902,169,983,273,519,251,634,594,073,507,070,443,973,450,249,537,913,
417,274,200,327,186,160,043,624,535,676,086,265,602,536,419,061,574,223,280,
820,932,395,658,571,249,889,735,395,734,334,174,480,195,907,937,674,526,320,
482,018,369,985,521,900,416,046,525,453,523,602,596,445,748,491,063,089,887,
656,523,417,029,396,328,955,022,017,358,139,594,144,155,568,671,363,470,706,
424,035,446,062,136,499,507,328,120,028,913,128,919,349,360,236,277,476,585,
371,246,449,710,010,708,617,718,285,087,260,054,302,498,080,260,789,931,703,
767,451,977,214,799,175,618,454,937,248,528,403,599,426,746,648,193,326,898,
837,518,595,396,636,812,973,540,105,211,119,923,823,702,585,004,937,745,342,
019,635,115,380,488,759,224,856,179,002,793,375,602,146,852,665,030,059,615,
352,972,946,149,427,380,885,367,270,568,827,492,769,618,811,545,959,664,253,
974,366,372,332,459,953,600,960,548,806,648,757,803,866,225,017,570,266,612,
623,284,535,899,921,937,788,776,864,602,790,163,512,965,201,235,333,123,806,
298,924,405,441,767,791,285,518,919,599,500,320,006,226,177,780,797,593,825,
042,323,630,797,088,759,657,912,960,001,419,399,827,776,478,789,299,566,783,
453,648,018,630,765,561,997,635,446,877,584,607,571,790,925,986,827,443,652,
193,043,090,218,734,970,345,609,372,198,690,605,038,662,216,583,514,208,968,
627,287,665,178,999,101,954,014,790,591,185,502,974,990,530,428,867,395,845,
631,033,052,768,668,674,113,032,039,553,014,471,378,830,617,659,681,242,137,
246,547,587,408,332,077,031,823,904,926,937,489,581,945,132,459,047,162,816,
282,127,562,250,597,585,196,493,169,946,594,422,145,531,549,704,076,240,501,
202,632,625,430,994,125,117,045,063,660,551,351,786,100,454,318,605,237,558,
471,128,571,688,763,596,824,962,925,348,753,198,145,808,676,723,240,417,572,
313,237,760,156,826,038,500,581,448,537,359,852,087,116,211,782,057,595,522,
031,036,565,738,802,719,587,005,413,725,507,117,901,967,165,133,433,266,456,
460,194,738,831,326,118,545,936,520,000,067,305,782,342,929,483,157,574,312,
913,475,438,015,793,070,582,275,769,278,841,758,911,034,800,497,997,614,258,
963,436,420,867,333,311,099,911,657,391,113,359,360,862,258,224,379,485,958,
067,857,173,779,097,531,184,963,411,528,634,166,746,528,635,350,137,320,269,
466,672,540,192,236,285,171,709,746,095,005,719,366,218,491,119,403,352,634,
410,397,720,779,448,676,879,836,996,529,039,009,056,798,756,017,558,671,961,
009,484,536,012,727,006,328,078,977,265,664,892,861,339,493,277,903,655,350,
330,688,234,778,707,680,038,790,275,305,293,526,624,943,941,858,867,148,080,
801,175,104,065,086,421,576,054,890,326,414,404,914,331,174,900,694,587,254,
423,481,475,486,263,930,734,841,972,107,685,765,199,737,929,271,250,972,950,
567,090,338,713,450,838,276,841,357,037,231,784,055,386,328,742,439,357,876,
061,626,543,621,525,507,974,697,131,177,256,481,410,778,693,814,149,709,369,
570,045,083,735,267,038,886,417,766,151,923,099,917,035,172,638,650,134,578,
759,043,054,509,898,171,359,144,065,669,060,178,917,728,936,594,478,184,182,
893,526,538,617,392,330,525,359,349,591,960,036,771,245,220,199,707,423,031,
019,516,941,958,983,377,861,445,356,196,028,895,887,581,288,891,003,866,512,
506,365,139,467,320,604,476,713,799,236,318,421,687,038,149,708,636,820,225,
128,713,749,434,442,872,654,595,526,730,843,407,127,085,072,377,968,614,227,
995,294,844,929,780,677,035,863,764,187,842,377,386,950,780,425,385,896,036,
808,100,959,746,501,584,985,542,221,509,018,912,423,112,608,795,231,977,446,
719,744,800,098,681,197,293,170,289,585,554,927,071,936,749,842,435,562,556,
429,187,680,659,873,968,465,901,974,153,265,407,695,060,637,117,387,256,888,
914,736,919,082,076,822,373,225,353,950,480,060,471,592,795,128,633,069,820,
409,457,608,412,010,628,529,873,781,006,863,299,219,084,090,439,444,345,298,
268,168,368,849,909,746,220,373,836,025,977,878,703,409,926,423,785,205,472,
096,145,897,180,326,514,551,156,109,057,786,318,261,863,069,280,503,652,769,
781,912,713,886,311,760,045,648,108,599,790,168,204,856,265,674,137,004,309,
521,802,761,038,729,377,769,135,321,058,351,935,683,034,071,983,900,470,199,
478,760,777,639,604,590,970,003,217,264,946,039,026,299,730,080,179,252,975,
991,194,114,014,659,727,788,028,111,358,873,840,519,934,430,553,336,029,598,
626,509,930,338,324,047,146,288,867,083,687,071,836,160,422,163,796,981,792,
183,374,587,036,630,419,825,132,190,139,097,214,701,288,779,189,321,040,765,
143,789,220,160,362,991,377,297,676,224,325,599,752,729,598,298,521,045,751,
314,101,900,441,831,082,214,457,247,105,698,575,137,003,795,192,545,477,680,
785,073,007,183,641,571,283,513,051,853,957,476,026,693,502,615,511,494,622,
559,586,637,610,581,965,469,119,821,166,185,414,145,097,891,516,650,827,032,
277,798,400,166,276,606,845,156,367,384,882,838,859,118,683,497,352,902,215,
433,593,854,969,036,893,311,413,466,314,335,079,678,105,957,931,018,309,459,
592,542,472,581,015,822,529,315,292,115,123,908,248,100,374,818,612,460,124,
319,368,490,534,251,549,289,212,436,181,039,365,309,364,425,929,455,086,493,
878,851,024,439,232,374,930,812,217,695,558,310,809,614,078,975,566,419,797,
454,365,893,319,777,231,268,614,477,100,210,937,800,607,948,528,094,269,681,
176,652,941,860,605,365,419,423,252,062,550,435,909,313,641,324,952,239,564,
184,339,958,429,104,948,709,567,105,095,904,721,297,657,580,485,549,924,052,
663,252,152,691,062,552,834,552,346,024,156,047,266,303,290,385,571,863,440,
701,917,915,243,712,647,857,327,909,644,724,633,281,543,816,758,264,523,463,
345,438,318,206,826,323,038,395,754,483,795,058,998,225,279,363,726,481,236,
309,051,200,179,133,844,539,184,264,633,531,246,136,775,150,086,386,871,206,
752,212,960,652,065,603,261,371,643,342,526,069,668,611,780,056,170,868,333,
165,499,042,712,785,483,445,237,120,756,915,688,571,939,496,945,366,213,107,
576,918,758,300,608,488,679,847,315,960,795,066,007,671,165,549,359,071,111,
963,632,656,132,784,918,255,219,774,679,627,067,548,514,063,947,159,976,101,
534,629,419,036,660,929,769,327,710,434,367,893,084,393,848,528,765,753,049,
965,600,996,197,816,534,023,418,749,920,569,095,942,935,663,585,059,450,821,
211,433,633,136,728,879,524,405,401,694,016,826,168,206,160,773,291,846,983,
500,976,167,479,183,646,877,323,173,520,191,283,778,286,324,923,045,490,813,
547,317,450,949,523,396,695,577,632,208,918,036,608,701,251,878,971,440,870,
989,969,449,845,287,693,754,857,579,149,450,504,543,597,242,243,409,172,203,
802,492,777,312,807,421,778,439,691,783,346,852,231,240,267,532,875,591,561,
990,332,372,991,668,067,116,748,527,669,307,161,518,694,336,244,945,515,170,
889,074,895,703,366,116,398,876,844,916,229,238,515,619,020,621,639,082,021,
455,132,452,851,150,261,209,274,220,775,582,249,567,364,697,440,213,557,439,
869,559,019,234,241,850,469,307,252,834,730,492,906,573,493,081,637,098,024,
367,304,901,292,743,897,740,602,127,602,912,561,187,823,719,249,086,245,358,
056,214,882,538,494,369,432,190,958,739,689,728,732,259,116,474,517,985,609,
608,115,526,995,371,136,858,276,177,319,687,750,364,050,639,315,273,258,874,
156,335,045,649,730,436,152,795,421,475,326,819,596,008,842,336,451,190,275,
884,558,429,994,005,654,717,218,206,857,900,306,619,221,009,225,021,946,460,
142,425,504,283,749,226,681,849,914,182,246,613,435,375,057,341,947,168,963,
765,879,898,760,096,157,353,972,684,120,293,999,677,185,079,532,682,649,058,
968,658,857,485,229,969,359,222,993,116,768,720,059,900,061,555,153,694,257,
039,554,733,854,563,924,529,145,012,514,590,954,694,064,673,696,914,400,545,
903,984,601,486,645,656,397,022,408,464,330,222,900,660,243,384,171,483,202,
248,917,997,435,523,453,094,017,695,913,041,532,634,837,508,645,191,897,183,
749,733,786,474,108,698,304,774,351,324,307,909,086,090,713,917,636,865,741,
439,806,306,852,964,028,392,560,912,076,263,107,867,412,744,050,505,347,066,
855,629,035,395,305,461,734,169,571,257,982,676,618,179,811,261,723,120,180,
105,369,113,891,650,248,066,613,639,742,372,908,727,730,768,973,774,123,649,
493,547,025,543,016,935,361,831,836,590,752,628,607,969,410,198,354,213,230,
510,518,063,166,348,171,745,394,026,823,872,303,165,576,360,136,019,114,686,
650,458,027,894,745,822,993,391,389,208,562,745,033,188,097,257,226,054,278,
884,680,358,724,671,970,496,136,393,515,987,170,001,160,282,358,556,001,810,
182,330,751,713,173,822,838,338,157,283,523,571,055,035,056,749,671,755,292,
803,765,701,106,285,401,600,699,104,902,344,360,926,019,672,383,045,113,756,
210,174,837,034,142,361,514,687,430,468,722,459,829,225,678,384,580,869,586,
259,342,161,283,158,216,672,634,516,205,479,457,466,875,095,521,609,858,072,
546,072,302,247,814,362,156,595,338,037,997,952,717,380,772,875,702,655,254,
323,373,124,131,421,385,898,357,244,215,875,689,220,752,061,863,275,107,811,
509,284,235,181,525,311,334,118,036,804,027,314,413,379,389,388,816,919,530,
104,089,749,361,341,553,753,643,999,619,950,644,769,121,025,989,717,580,220,
606,957,127,344,225,099,228,296,424,750,621,680,452,381,805,805,809,997,091,
298,896,806,867,826,517,461,357,846,860,224,813,178,105,615,551,195,134,460,
183,570,534,692,255,036,797,712,691,671,622,522,524,870,892,554,973,389,209,
511,167,954,346,769,000,188,461,011,561,403,265,646,176,632,973,552,317,348,
296,520,152,295,240,672,529,074,290,462,827,575,048,935,146,134,905,412,128,
817,286,888,457,275,377,744,181,312,622,978,155,755,669,374,009,752,081,024,
852,867,470,989,738,702,401,636,893,654,458,202,107,189,350,842,180,886,675,
062,366,831,504,018,145,198,380,235,656,144,077,518,034,410,588,312,119,786,
713,342,300,784,473,144,989,302,510,190,505,790,940,593,669,410,591,083,695,
027,250,117,660,219,414,392,524,403,223,528,144,191,991,954,332,923,410,185,
672,170,762,112,029,669,394,464,617,655,624,303,045,136,068,931,962,489,052,
130,861,374,080,840,646,131,934,672,932,663,311,804,590,968,306,502,037,805,
278,156,072,514,797,102,939,615,219,935,158,282,452,540,588,912,818,034,508,
559,677,094,811,916,317,657,398,791,652,440,423,154,307,396,332,463,404,261,
007,919,334,508,813,555,931,723,155,543,519,758,874,861,800,314,359,255,175,
851,281,207,493,829,613,639,515,329,033,914,033,536,574,983,275,510,828,236,
548,594,672,287,722,409,250,049,873,174,077,914,394,726,820,652,452,474,484,
040,374,494,774,336,730,700,176,884,143,250,645,498,963,322,540,045,087,328,
722,292,811,947,817,911,032,197,353,160,457,207,770,561,609,003,235,348,999,
527,473,018,579,795,849,788,922,619,515,578,448,917,164,999,713,863,377,029,
876,981,820,475,614,771,206,082,819,255,580,698,062,625,524,212,664,956,668,
300,128,617,765,404,250,070,235,451,459,444,555,030,091,413,271,566,385,123,
018,611,695,540,065,766,291,426,960,263,773,969,978,113,447,136,437,022,509,
083,468,510,547,350,726,164,233,443,062,483,567,542,984,404,984,089,320,516,
447,262,751,718,304,796,237,115,671,796,933,479,714,353,926,163,738,467,542,
023,006,587,249,108,540,698,073,935,782,045,336,164,904,678,148,069,882,215,
607,883,899,753,488,540,999,695,520,377,786,362,053,074,520,721,513,792,742,
632,082,333,293,125,664,956,899,152,099,685,062,345,981,197,854,825,384,566,
212,910,807,784,236,827,018,895,978,079,741,481,921,839,108,214,934,176,985,
800,120,991,258,392,005,482,390,455,755,247,885,680,314,866,295,189,288,117,
182,463,369,548,754,215,766,820,557,456,095,018,370,853,828,383,575,201,598,
862,127,004,839,812,747,791,234,123,161,666,273,830,456,367,700,476,649,164,
481,784,579,360,062,795,503,580,303,024,381,144,290,174,766,283,361,914,515,
678,489,533,989,975,159,446,287,105,662,706,160,574,623,692,464,453,464,201,
206,104,907,637,146,626,488,080,233,378,996,856,478,124,906,891,013,914,550,
066,783,815,587,502,391,286,663,503,533,587,775,720,618,121,751,099,373,173,
535,232,065,917,218,216,593,750,371,913,245,875,653,697,956,510,400,227,513,
002,478,879,725,858,843,754,743,044,462,439,964,211,706,691,162,909,064,416,
120,107,026,530,917,738,174,205,462,359,353,602,116,695,480,299,348,956,866,
236,376,211,914,172,801,627,791,368,754,867,357,099,837,454,063,522,179,244,
779,082,945,010,858,294,153,355,617,972,905,149,407,531,395,549,061,370,509,
183,307,144,180,030,429,313,408,716,475,835,650,998,586,508,962,564,957,811,
557,654,649,308,462,183,044,544,795,209,903,652,188,817,391,105,538,247,976,
324,002,766,090,952,257,015,499,853,654,260,889,211,909,212,570,096,422,115,
594,159,881,052,208,214,944,018,985,420,048,944,379,646,454,478,053,779,413,
771,734,413,863,985,325,658,925,547,845,854,486,997,279,874,224,975,041,566,
704,077,960,681,557,339,576,177,438,687,651,638,854,774,536,038,878,294,504,
419,433,158,117,809,533,628,173,641,266,403,595,328,700,400,322,886,520,254,
899,895,321,088,558,825,063,638,526,970,495,415,413,002,483,759,365,952,580,
827,597,559,853,150,912,308,061,007,358,299,346,917,415,026,587,880,303,342,
391,647,497,021,603,335,179,210,920,791,425,014,508,007,192,692,860,309,333,
237,575,466,855,065,297,981,858,135,232,522,915,897,538,330,513,831,422,600,
485,041,283,885,667,152,532,320,531,006,568,347,053,998,267,954,200,345,451,
744,268,132,135,544,532,357,060,022,489,602,564,534,153,791,239,330,580,651,
249,882,847,474,215,920,115,453,457,188,335,506,187,130,967,362,077,986,467,
469,298,395,971,364,415,851,187,999,476,567,729,616,781,068,905,374,962,858,
591,471,588,015,284,569,574,183,383,910,501,023,285,508,557,152,102,796,974,
238,362,557,227,421,204,929,265,793,464,682,043,040,045,460,797,386,528,669,
222,723,819,340,402,941,722,735,643,865,666,553,333,452,139,256,984,302,442,
751,312,575,960,136,145,852,139,798,533,412,154,225,134,651,100,911,403,915,
801,768,917,507,091,624,032,254,144,517,838,695,007,658,437,836,804,750,720,
288,609,212,831,279,009,064,604,328,317,254,294,099,582,262,460,444,632,663,
768,446,808,421,443,429,370,647,746,891,472,305,159,026,370,762,322,139,709,
001,487,216,967,999,403,219,476,970,096,633,451,327,967,418,863,216,027,758,
422,694,645,656,576,831,382,041,735,476,989,044,190,840,048,467,616,716,770,
380,821,171,268,939,228,785,138,952,905,900,168,770,738,681,945,570,848,555,
605,994,034,017,533,443,293,515,132,222,945,177,631,522,179,391,107,965,958,
000,249,959,097,299,366,738,865,731,270,281,595,412,378,395,509,498,906,679,
936,350,755,991,582,511,908,543,873,733,144,276,819,348,209,941,334,290,243,
881,895,479,675,577,061,840,346,841,380,152,847,083,622,044,628,105,576,637,
976,080,414,210,093,461,939,180,002,585,744,403,264,936,061,853,033,610,769,
943,124,194,551,388,181,011,270,543,864,287,888,681,702,301,722,998,881,297,
499,451,109,612,980,312,385,774,803,582,972,895,893,384,908,276,389,892,247,
227,833,171,182,781,801,633,565,409,710,493,840,289,163,514,557,333,490,874,
602,793,158,536,192,413,376,799,177,984,812,237,254,305,131,282,186,120,135,
284,754,895,196,419,963,970,848,082,815,107,551,041,803,763,890,100,446,287,
310,897,265,242,270,878,111,966,231,531,816,081,318,187,794,254,562,019,443,
248,936,489,258,176,000,331,970,322,679,411,760,830,324,096,823,548,036,355,
045,041,849,854,061,761,113,739,867,122,264,293,453,662,251,517,324,045,185,
581,396,274,877,670,301,511,844,811,511,917,763,931,671,279,488,622,328,086,
521,194,165,144,464,401,551,843,526,372,335,031,381,342,815,165,057,813,041,
550,142,813,426,054,673,540,135,503,949,418,584,152,572,858,729,026,489,832,
165,779,337,138,395,337,383,692,771,629,748,192,616,464,744,128,220,746,304,
299,007,123,424,432,974,135,395,559,429,161,845,338,346,249,478,001,402,921,
119,768,740,804,954,615,631,577,423,809,181,276,075,863,636,586,345,550,756,
493,838,347,458,637,391,817,599,352,407,580,021,477,327,058,183,207,105,325,
223,617,405,717,530,926,295,094,486,085,280,736,016,672,429,139,492,907,636,
452,303,243,000,391,310,079,314,445,152,441,492,229,317,398,020,558,114,715,
161,525,563,626,883,607,827,768,022,515,694,884,927,520,163,892,262,956,377,
795,298,067,987,545,421,610,069,149,954,308,588,551,217,142,532,574,678,356,
737,629,259,295,959,075,825,657,918,002,598,307,659,303,861,365,644,912,785,
842,411,465,178,993,254,628,032,530,314,531,799,124,412,193,621,312,357,632,
515,618,265,720,439,504,531,213,254,578,804,322,296,870,506,932,716,008,588,
926,385,010,521,467,187,436,732,004,254,174,170,830,800,567,368,590,369,545,
551,626,540,725,717,398,717,179,950,332,037,794,116,748,459,923,464,476,552,
124,286,375,031,541,547,728,057,830,386,130,603,246,536,670,420,936,974,987,
072,649,856,250,974,705,081,075,346,574,736,785,908,255,012,830,040,365,456,
755,569,136,392,974,221,192,277,113,146,119,923,873,942,736,893,370,036,929,
275,781,408,085,324,942,252,583,950,321,141,873,127,965,201,791,806,960,068,
734,785,882,588,811,064,339,189,359,401,539,237,249,860,734,423,143,294,055,
825,732,383,211,791,416,329,400,547,573,493,493,518,314,098,600,973,871,237,
638,538,871,534,505,298,624,952,480,702,911,937,564,256,771,367,151,943,254,
292,021,799,975,855,644,592,718,389,719,905,649,745,348,982,091,988,618,220,
096,698,839,820,648,992,557,501,162,449,420,591,361,016,656,536,929,243,872,
808,075,329,892,979,509,771,448,798,698,349,035,119,740,932,973,942,073,138,
949,773,794,248,580,906,147,238,086,836,316,603,764,496,041,955,806,029,686,
693,534,766,320,346,513,260,061,723,418,664,336,396,429,848,265,210,142,500,
876,127,337,134,857,922,783,734,477,932,741,787,350,171,972,917,234,865,359,
267,595,543,345,408,371,671,209,541,513,059,916,212,294,703,674,498,506,057,
629,300,501,996,373,625,562,691,824,326,244,704,543,902,538,733,038,260,304,
647,412,086,592,474,136,698,887,120,289,023,588,359,830,463,346,180,221,369,
621,815,578,397,814,247,526,752,159,253,198,473,237,981,093,300,172,477,416,
349,885,533,983,513,873,185,067,850,553,825,308,236,969,136,856,346,501,931,
738,506,502,664,160,139,819,631,611,672,046,264,414,293,912,788,553,386,259,
146,926,704,836,628,483,606,122,064,053,818,506,114,460,741,753,212,200,172,
057,950,835,607,432,518,985,029,903,429,794,052,640,726,388,793,684,729,271,
146,125,726,812,568,525,547,783,851,674,141,496,447,086,471,703,589,367,265,
144,813,912,024,884,545,741,817,934,321,714,652,776,736,328,149,369,788,596,
992,504,132,040,322,476,507,300,800,781,163,486,346,632,182,832,211,803,590,
582,279,694,395,338,709,411,213,547,782,201,672,919,610,533,508,074,553,398,
935,361,192,434,220,109,723,342,056,713,060,658,653,252,585,493,683,878,285,
147,948,320,203,273,700,296,069,840,369,837,809,638,578,662,956,730,185,248,
076,122,765,218,217,056,112,410,520,757,177,501,788,048,605,320,619,691,795,
288,414,800,607,350,159,439,075,548,936,865,785,074,125,046,125,814,952,810,
002,473,830,550,742,379,424,218,825,264,548,588,369,055,885,518,148,403,781,
858,018,347,763,854,369,360,281,086,554,106,123,961,249,677,809,703,803,909,
944,801,185,215,014,488,516,993,779,383,718,898,221,923,993,329,216,377,018,
027,362,461,961,370,868,900,856,652,250,720,182,845,580,275,365,746,756,222,
362,601,181,516,575,923,083,177,190,050,460,720,319,997,836,569,995,725,512,
210,328,134,700,601,043,929,005,676,070,893,500,458,854,351,940,007,305,890,
405,061,126,322,202,991,020,335,190,638,515,123,262,342,526,912,571,736,758,
339,957,166,425,301,435,958,986,508,979,238,267,340,572,614,191,601,622,400,
260,252,902,722,726,423,525,992,243,491,991,245,259,487,905,914,903,517,216,
392,545,924,449,125,816,593,361,064,985,262,756,640,486,244,354,823,337,887,
206,626,271,792,315,215,129,254,641,076,598,201,894,204,885,378,751,317,532,
824,638,439,342,025,592,433,526,476,899,689,311,828,818,938,691,775,765,175,
174,942,410,544,387,773,078,616,218,846,755,545,145,843,625,947,778,321,179,
000,273,556,581,461,717,889,334,746,272,619,142,675,583,451,863,845,226,392,
654,265,178,649,625,776,254,399,005,469,451,134,418,144,829,836,032,861,269,
983,909,987,601,873,172,059,527,490,436,997,487,312,593,841,885,241,596,280,
895,092,288,546,190,220,825,153,645,245,414,560,368,380,158,152,978,342,240,
963,969,877,337,185,209,744,913,569,249,904,151,383,632,156,075,923,705,082,
409,251,066,781,078,817,836,180,026,507,022,403,298,687,849,780,390,387,317,
082,768,254,233,082,100,677,043,442,723,290,555,847,735,245,017,563,464,390,
431,750,432,040,152,986,758,070,880,181,420,182,006,631,120,270,584,102,411,
049,542,293,002,145,777,126,862,435,916,211,466,435,445,785,962,302,367,931,
199,483,104,371,580,705,492,491,084,470,190,677,404,739,510,937,282,359,963,
611,585,752,680,650,079,260,856,470,344,374,241,314,450,692,435,485,787,591,
870,878,436,295,663,074,216,050,301,594,613,977,630,510,668,232,861,711,513,
023,586,849,020,344,726,588,589,518,656,475,442,012,093,648,433,441,714,871,
016,114,604,632,270,914,310,011,288,863,979,938,502,789,712,148,534,327,457,
943,303,391,638,936,390,309,724,105,199,052,507,666,631,557,276,663,032,214,
837,500,706,639,308,525,721,487,921,945,577,181,794,969,790,925,853,450,147,
944,588,538,952,952,901,395,467,194,495,421,515,963,281,879,043,033,842,580,
222,737,386,309,522,138,526,880,034,594,104,686,308,122,227,494,996,857,924,
233,167,802,708,760,921,764,397,801,069,888,137,406,123,796,169,473,960,181,
377,710,257,249,876,769,980,940,935,264,224,847,333,146,712,251,672,011,993,
952,425,854,891,325,471,912,174,079,276,736,055,767,361,857,368,688,328,085,
582,005,945,109,972,820,731,249,360,649,083,696,744,350,063,275,379,395,518,
154,327,945,293,950,407,573,216,729,093,067,926,775,198,814,899,094,025,324,
060,470,357,056,841,453,323,223,095,057,614,327,917,325,037,264,077,123,143,
548,867,076,616,049,278,243,952,259,054,533,112,357,682,505,921,935,272,375,
327,788,977,392,114,975,369,496,934,002,301,744,842,041,880,585,671,423,081,
632,814,534,979,684,662,791,790,077,600,546,154,907,228,931,970,123,286,339,
713,843,678,081,107,148,600,109,058,721,073,673,203,395,633,404,639,696,393,
516,379,653,074,533,185,349,828,280,130,772,332,889,953,102,113,751,129,993,
744,018,950,569,824,066,372,397,978,092,866,512,827,651,786,375,016,364,037,
483,255,676,574,393,007,859,667,093,793,297,109,007,250,755,850,906,522,199,
137,759,885,127,728,087,512,264,574,424,774,207,981,454,087,043,115,583,925,
726,796,880,659,984,682,808,927,847,182,111,324,790,353,547,212,372,232,976,
610,684,336,312,698,078,333,116,711,072,577,705,851,509,941,859,573,651,021,
528,118,970,526,351,419,867,473,815,262,437,635,462,361,397,532,550,127,393,
632,519,359,975,088,896,956,290,809,067,179,772,398,857,225,625,986,001,809,
339,301,574,717,359,192,524,224,941,129,840,571,813,703,563,855,732,932,707,
021,907,209,404,281,854,702,041,337,878,685,888,154,618,256,109,486,108,211,
797,595,922,096,900,571,700,143,986,523,106,831,912,634,831,298,506,790,786,
758,904,352,329,760,640,857,787,119,952,635,588,536,933,665,644,946,267,270,
080,956,645,064,111,058,503,061,145,649,563,665,534,361,297,090,984,289,970,
552,514,211,434,641,909,558,489,094,416,020,277,109,850,400,247,461,705,726,
118,065,274,374,226,489,365,091,327,090,255,011,129,791,018,152,970,441,066,
930,381,400,333,136,073,977,809,798,704,099,651,359,242,374,624,791,402,773,
777,665,447,846,238,184,128,842,351,666,959,227,713,397,763,116,994,952,912,
148,661,282,185,818,999,070,292,341,467,463,070,460,095,571,598,824,143,507,
547,085,741,322,960,463,080,885,149,968,729,226,413,554,101,157,563,916,370,
664,995,097,765,381,362,755,418,271,806,380,292,099,728,696,893,225,770,475,
798,226,452,109,309,368,998,626,204,759,984,731,251,672,370,564,948,693,026,
250,870,100,864,819,837,163,454,584,834,109,182,478,652,224,692,499,116,219,
393,385,351,146,101,548,942,067,478,356,923,601,805,443,133,813,276,506,281,
137,102,404,117,464,484,275,268,426,936,040,254,226,021,319,390,849,595,749,
884,526,784,929,810,223,220,325,500,637,430,138,253,226,840,350,358,041,570,
516,916,440,378,164,245,575,416,929,248,685,974,476,120,682,255,101,288,852,
958,556,372,816,075,127,910,487,558,141,704,318,612,514,882,524,388,748,978,
729,848,423,204,073,188,326,724,824,738,358,318,459,001,715,812,910,640,943,
031,454,216,296,005,811,025,963,881,140,583,149,845,043,398,489,066,790,219,
253,141,716,637,841,216,723,710,185,573,206,475,509,886,895,084,767,653,630,
158,164,359,598,381,789,459,391,838,713,725,928,166,251,931,814,812,394,903,
015,746,326,507,011,262,370,125,141,506,266,219,462,134,832,689,570,213,071,
700,659,327,152,636,721,590,806,534,946,381,409,023,805,280,431,470,959,975,
367,593,549,260,269,959,651,223,955,704,348,748,919,495,075,592,857,810,048,
739,740,470,526,126,530,965,826,672,334,199,795,634,474,917,560,915,448,090,
400,210,962,501,944,134,318,717,725,306,778,114,627,025,073,387,909,385,941,
642,062,576,210,857,550,703,378,817,918,190,313,626,532,735,039,069,690,353,
901,947,969,452,810,233,113,979,968,663,419,303,674,353,279,441,061,740,897,
529,726,735,414,153,702,470,590,600,707,515,914,331,929,919,472,169,655,710,
190,229,455,093,504,973,365,504,858,107,475,625,966,991,463,050,401,748,034,
719,487,231,748,831,422,403,786,201,336,004,524,726,880,695,491,307,613,126,
881,163,014,292,331,137,980,181,456,607,666,681,841,996,330,783,015,576,400,
653,025,166,801,545,373,101,031,008,662,294,983,857,782,602,907,632,318,704,
946,914,589,186,114,642,849,933,033,186,608,615,716,609,151,152,870,422,343,
124,995,565,027,779,629,146,011,488,064,929,719,652,022,192,821,445,909,097,
876,186,898,567,707,934,441,585,572,734,753,258,036,966,831,305,021,691,295,
350,054,178,304,594,320,314,530,727,570,720,803,331,062,130,269,145,559,640,
719,010,780,292,448,592,306,876,016,183,386,942,590,313,703,016,461,819,920,
080,985,283,919,588,195,911,566,848,149,413,167,564,909,014,825,355,055,742,
213,645,583,048,075,882,582,807,762,211,569,255,726,807,776,123,312,472,588,
019,972,056,516,563,946,020,736,760,274,678,930,170,134,586,765,227,983,278,
481,164,638,803,207,479,580,339,462,458,528,867,516,082,067,872,370,822,533,
103,696,206,609,398,223,902,404,160,799,530,694,125,171,020,050,812,440,680,
446,591,524,862,805,517,490,273,152,987,186,422,371,366,573,480,022,060,078,
656,892,812,773,197,864,916,883,895,805,941,457,011,327,426,168,320,711,977,
357,023,702,336,216,397,165,978,358,736,400,232,724,563,156,397,874,167,468,
334,011,573,384,160,228,599,138,582,257,187,974,580,768,850,605,900,078,767,
310,827,282,024,985,680,662,610,193,836,804,863,355,073,739,810,785,020,754,
712,321,236,525,635,722,390,241,976,158,599,730,080,954,974,262,921,480,615,
030,728,780,676,773,307,287,942,269,695,897,315,361,452,186,667,462,162,280,
834,042,150,188,041,002,583,609,709,701,502,526,028,131,769,048,614,717,442,
784,433,167,930,729,705,052,639,137,232,786,372,722,757,001,809,513,930,187,
464,511,691,367,976,878,782,692,574,845,460,073,260,953,903,318,643,675,229,
337,950,850,275,156,372,555,904,177,831,607,939,744,557,432,453,450,935,796,
496,192,518,887,002,579,696,322,148,298,924,031,282,792,287,438,535,641,000,
434,627,242,440,098,924,346,227,911,348,947,673,636,755,956,141,446,571,478,
424,713,062,991,189,262,872,736,611,888,252,745,928,671,955,478,052,981,216,
644,141,251,423,518,740,282,097,872,310,667,124,933,206,650,236,790,838,545,
791,298,075,184,042,232,482,170,692,486,540,564,864,543,441,557,898,592,571,
072,024,101,746,565,979,339,250,838,711,807,192,179,100,204,637,740,924,154,
850,463,955,871,642,476,308,130,288,079,901,531,234,947,788,833,870,986,499,
097,253,118,700,472,230,814,164,518,092,182,037,732,783,376,288,588,067,902,
317,299,243,993,911,563,071,480,832,755,956,599,428,532,144,859,574,437,316,
904,868,726,716,206,681,679,129,733,613,911,889,214,796,176,131,729,763,375,
467,885,595,204,897,054,301,268,462,316,013,232,427,645,100,159,095,964,733,
002,062,424,799,869,223,500,541,650,493,152,294,299,799,814,253,093,683,089,
975,490,549,627,932,269,491,928,169,590,895,914,581,256,831,713,875,530,048,
795,999,238,145,599,457,402,119,359,395,535,641,478,969,770,367,453,046,137,
691,484,354,847,747,869,118,062,146,169,454,532,378,119,520,127,756,706,671,
067,594,454,311,674,296,124,511,664,942,295,583,956,978,631,694,373,709,404,
883,179,862,296,166,178,200,193,241,731,051,351,874,021,948,990,699,616,360,
133,092,397,744,703,732,642,175,163,059,945,071,133,977,756,653,631,994,166,
310,180,832,333,276,835,949,139,073,567,673,765,696,322,020,916,445,812,220,
739,151,596,251,558,057,925,936,242,609,073,793,402,849,703,423,005,777,959,
667,896,539,382,180,873,519,660,700,730,128,560,096,111,776,549,166,523,018,
296,953,964,637,641,394,449,140,029,153,480,423,940,629,451,690,728,846,905,
952,818,706,177,460,881,814,408,915,261,717,215,385,085,639,239,985,933,144,
590,049,735,092,720,172,235,147,704,350,412,823,406,310,999,452,321,789,656,
228,685,752,933,750,565,816,308,660,288,678,319,609,746,764,897,170,889,712,
601,873,260,730,848,104,637,008,871,650,006,031,895,062,634,372,868,838,112,
035,631,979,339,629,622,891,779,459,400,339,854,538,292,448,437,751,231,090,
086,299,502,462,295,315,536,532,224,912,638,440,702,807,076,279,616,497,806,
971,830,037,545,991,236,424,892,444,099,968,493,951,069,380,891,136,976,623,
809,147,350,909,146,586,471,021,589,046,474,279,290,747,197,793,100,449,780,
742,058,013,160,596,362,349,671,805,349,633,967,506,357,393,589,310,053,065,
241,348,661,930,095,693,952,436,134,895,371,004,122,685,549,218,108,915,221,
267,104,910,535,633,771,659,091,226,297,845,738,591,918,810,902,215,454,463,
309,633,197,682,961,127,430,214,867,268,912,988,004,120,247,010,489,201,023,
837,869,210,997,541,448,984,846,859,162,725,301,582,453,435,269,434,216,442,
077,608,452,769,565,791,054,255,138,843,307,631,012,471,234,843,151,701,312,
585,617,440,056,088,450,699,107,030,901,831,641,718,044,079,380,227,734,308,
627,524,243,020,840,547,125,464,758,342,870,491,184,774,150,309,608,876,716,
545,867,118,410,912,648,856,177,239,288,025,681,292,843,315,595,844,228,738,
728,473,128,152,028,222,290,630,213,982,024,485,469,507,248,487,529,341,363,
832,966,361,927,920,463,776,634,208,747,685,710,513,196,150,502,985,816,826,
086,589,286,037,104,365,306,760,963,770,108,711,114,177,528,261,656,337,651,
643,279,806,988,372,881,810,025,655,143,439,587,734,630,948,958,276,891,921,
564,642,287,431,951,943,137,183,580,847,523,474,008,031,637,358,905,636,259,
041,502,666,263,651,535,578,591,971,173,849,283,729,075,497,612,363,115,007,
370,815,664,739,963,383,933,724,235,322,821,721,719,676,577,678,568,093,342,
974,581,603,584,205,823,742,781,270,402,197,812,076,495,188,093,974,331,546,
915,349,499,138,092,953,069,388,134,448,221,570,057,989,883,345,158,932,629,
498,732,381,488,802,847,812,161,761,467,133,122,091,094,959,294,061,063,101,
143,783,028,747,809,056,254,943,299,760,681,268,817,059,891,089,172,560,677,
385,159,532,843,888,490,828,192,627,068,125,497,491,368,639,844,926,137,566,
019,220,974,346,095,988,251,237,338,200,007,041,751,652,298,292,402,877,270,
784,921,023,106,322,061,634,002,723,066,728,952,207,943,601,828,096,544,913,
751,518,167,934,629,398,631,477,097,550,098,145,179,718,472,122,195,826,909,
363,740,670,052,881,753,150,571,956,040,216,715,044,555,646,340,613,617,443,
448,472,003,265,272,007,008,320,586,829,083,169,646,007,400,468,944,099,831,
885,716,223,971,326,108,628,196,631,812,543,928,143,401,141,770,888,886,146,
793,112,071,552,489,178,114,376,127,090,781,708,869,310,749,251,944,004,267,
814,138,766,487,767,787,702,896,539,190,282,114,446,772,682,457,718,731,777,
175,510,909,928,593,121,588,248,782,923,024,635,251,262,354,904,825,233,040,
003,434,101,833,347,688,632,817,018,334,398,220,172,273,830,270,204,938,122,
445,852,246,710,629,152,881,832,862,210,452,324,192,781,484,382,014,624,857,
007,198,969,372,671,691,308,340,696,661,228,121,408,413,268,579,974,415,123,
493,546,918,806,737,489,418,318,790,285,977,266,442,645,404,843,347,190,835,
229,017,472,943,202,221,129,060,323,725,835,898,609,882,369,198,037,023,796,
948,666,963,293,599,470,239,315,771,884,797,379,927,764,363,821,658,897,355,
093,985,061,481,606,729,613,093,961,102,465,146,531,578,499,605,722,144,634,
983,895,244,343,101,786,989,984,851,950,049,276,760,239,633,523,680,506,273,
168,376,612,806,558,488,224,896,207,027,959,217,689,723,498,401,433,899,939,
903,584,937,467,456,384,961,499,379,408,199,391,278,183,080,722,487,113,361,
839,559,802,173,336,409,904,582,534,172,983,121,324,158,883,787,220,189,432,
050,306,564,393,213,630,799,551,795,071,150,025,384,949,932,807,655,927,858,
301,630,508,202,452,280,063,719,857,669,134,563,100,746,306,897,888,036,518,
455,861,595,150,380,886,565,966,713,993,778,953,225,510,281,527,857,554,837,
948,399,093,419,612,077,240,673,708,143,169,598,470,872,183,090,201,327,241,
121,764,798,306,106,597,830,461,841,090,091,449,115,077,336,551,047,854,548,
349,148,393,227,885,972,291,938,673,274,134,041,349,596,345,630,545,303,380,
806,409,233,916,471,175,902,142,647,133,169,143,692,807,757,791,817,055,743,
721,521,517,259,462,864,650,774,821,567,589,775,196,088,055,329,372,381,227,
419,152,855,294,136,459,399,771,214,374,113,562,179,119,256,355,178,817,000,
698,471,922,160,687,508,447,342,955,112,516,045,752,539,018,300,214,491,007,
283,754,002,123,022,964,699,540,702,287,722,480,107,068,902,533,325,364,140,
063,572,800,801,793,789,318,536,825,922,315,549,827,904,310,871,566,869,629,
345,141,727,462,678,437,731,266,724,968,089,175,416,162,102,042,790,744,489,
083,795,402,318,820,952,439,584,926,040,328,411,222,584,108,374,536,946,984,
648,970,405,113,933,527,645,957,881,629,906,424,295,067,017,483,794,505,509,
581,595,603,963,023,093,990,882,376,991,391,458,357,338,528,897,070,983,460,
273,024,729,101,040,089,155,190,671,244,034,628,124,460,700,157,566,227,074,
921,233,105,778,769,705,954,573,619,492,812,744,160,850,068,813,983,471,357,
453,982,060,461,486,242,824,958,672,159,097,845,189,835,323,775,644,110,086,
410,509,729,969,898,501,765,812,587,258,200,459,685,527,155,953,780,349,345,
307,456,471,467,385,711,305,591,613,455,376,608,018,269,577,039,389,425,778,
383,644,291,643,095,911,185,358,212,574,354,258,757,234,223,320,006,510,004,
580,690,209,113,870,692,270,248,626,594,267,428,940,706,404,701,735,829,492,
326,708,112,058,404,486,698,991,783,078,259,452,218,416,364,581,614,748,912,
529,220,698,658,588,248,271,937,592,990,050,399,321,260,500,938,439,145,416,
173,199,970,605,187,472,265,385,397,229,415,557,161,654,467,648,184,282,686,
910,677,818,063,295,603,751,770,961,197,187,280,156,937,684,462,949,005,825,
592,906,595,039,285,482,594,840,491,650,983,665,926,000,621,974,718,299,605,
902,055,968,402,194,926,253,750,147,176,888,757,677,796,514,610,481,514,210,
427,245,758,930,926,747,715,508,905,757,752,915,068,820,658,016,721,193,885,
238,727,030,300,853,161,034,475,060,861,921,912,438,883,071,645,860,398,400,
491,886,177,816,897,086,308,191,847,181,434,687,743,245,151,487,724,050,057,
523,603,036,150,778,865,425,833,539,193,726,130,303,822,708,393,959,748,635,
526,003,872,383,800,428,335,843,343,065,645,743,142,121,397,127,851,655,438,
873,324,577,334,350,143,690,714,177,521,297,564,736,225,164,234,600,941,327,
854,125,073,409,836,382,733,087,945,630,872,787,918,158,082,503,997,996,805,
506,366,419,430,575,348,750,270,485,672,614,649,418,683,737,291,102,488,568,
148,365,322,780,767,822,555,590,698,659,015,056,511,642,110,781,779,011,791,
564,535,104,079,443,801,370,966,482,989,969,750,803,007,642,284,030,664,759,
845,078,021,594,123,057,964,201,432,179,453,352,305,212,204,092,923,670,892,
272,644,896,582,289,610,866,363,328,735,888,569,399,505,652,612,869,704,485,
975,810,632,195,445,874,401,382,881,222,119,183,979,763,262,342,835,980,070,
218,701,171,309,502,434,909,868,869,134,102,856,309,754,856,474,187,404,978,
556,809,166,867,842,774,624,940,584,015,009,412,502,578,379,634,311,487,300,
214,769,384,034,335,781,055,752,782,350,604,193,013,978,320,739,079,703,459,
040,834,135,521,894,447,466,144,035,663,514,145,689,091,175,440,701,836,635,
324,178,899,785,584,245,061,248,589,950,292,595,133,142,748,998,203,140,603,
303,874,036,104,194,957,124,260,947,865,313,004,116,525,661,295,369,952,021,
918,195,692,863,505,937,488,255,077,938,830,683,504,415,180,256,330,987,991,
470,825,178,814,923,048,810,851,888,274,122,476,541,974,561,584,217,434,340,
447,502,119,612,156,789,475,998,327,959,403,600,510,904,323,761,873,631,330,
266,937,999,292,044,404,847,928,045,338,845,786,810,501,977,204,628,323,641,
363,933,113,034,152,480,903,942,202,330,138,103,749,015,612,088,626,795,154,
170,345,006,802,677,082,660,138,400,525,349,162,646,412,089,822,729,722,317,
796,164,134,358,025,412,025,819,174,804,335,425,829,844,972,368,694,625,831,
910,892,352,305,457,876,472,228,239,940,587,875,079,367,941,079,676,444,767,
571,100,179,830,832,892,915,663,244,810,959,412,662,417,274,398,569,034,503,
893,075,088,023,274,174,977,672,116,032,268,829,487,048,548,546,711,032,138,
641,289,074,543,778,337,872,419,489,364,896,560,277,150,538,307,606,096,906,
926,820,727,394,840,129,551,898,049,088,433,458,120,224,277,878,454,275,479,
036,327,570,218,400,247,905,116,064,208,209,884,152,912,815,121,323,662,574,
403,033,260,136,382,560,675,786,639,163,512,403,508,906,551,129,257,983,888,
191,923,173,778,873,496,982,952,514,857,136,545,025,422,122,319,884,523,723,
649,198,461,901,824,089,466,312,706,280,511,128,763,270,713,996,883,807,663,
312,703,349,822,642,739,432,765,518,068,145,353,711,082,811,162,535,345,433,
264,172,808,201,584,039,025,782,526,163,361,668,134,338,698,219,383,150,442,
443,584,626,893,255,799,445,542,336,739,515,080,280,101,995,866,221,737,829,
447,113,456,732,507,995,284,238,055,933,517,241,070,141,923,655,188,378,572,
886,507,559,416,958,056,015,125,425,436,892,883,837,360,017,998,818,571,773,
117,776,164,368,938,371,319,401,174,807,434,186,166,259,197,188,707,896,169,
671,430,270,889,502,504,436,517,494,334,233,589,730,689,061,209,295,432,772,
477,501,160,990,309,300,485,625,499,648,895,216,664,083,546,898,761,380,359,
018,239,591,381,435,376,154,218,414,511,677,533,405,864,776,830,543,992,439,
695,107,622,874,436,989,336,110,650,474,327,599,828,636,451,028,764,232,366,
471,417,606,490,825,868,458,217,487,722,652,546,675,847,672,318,974,130,031,
201,755,896,080,996,596,291,349,781,395,691,995,919,321,198,811,496,006,306,
003,073,077,835,986,014,115,024,901,783,128,332,183,656,946,924,023,984,219,
334,878,771,409,896,102,030,321,429,253,678,964,233,458,127,408,095,778,691,
515,628,859,101,269,430,021,076,832,988,455,527,134,553,993,295,997,643,859,
720,493,267,175,622,252,648,780,039,852,750,813,820,491,972,663,666,439,941,
213,732,348,251,327,963,658,969,277,981,336,581,336,894,082,614,865,341,586,
504,835,787,184,612,735,207,266,168,658,616,945,163,932,682,929,397,904,174,
030,724,389,833,734,623,802,667,949,014,857,649,027,658,047,581,447,735,551,
078,637,836,338,170,296,454,432,790,353,614,201,149,837,073,303,834,507,221,
897,631,163,774,015,843,266,258,509,981,650,348,155,272,157,330,784,090,602,
788,239,707,263,182,427,952,862,450,302,781,974,687,369,872,248,257,864,925,
769,811,369,845,013,430,710,084,101,968,985,173,506,026,330,835,752,868,856,
675,116,573,030,195,262,206,926,112,760,690,262,933,217,106,630,456,395,067,
718,349,219,299,528,326,968,234,958,516,864,269,061,774,343,224,978,098,707,
230,170,226,239,629,772,907,314,750,867,876,260,641,201,854,255,685,599,578,
876,206,235,607,219,271,493,416,433,599,280,428,794,133,715,995,513,284,312,
627,617,375,350,265,525,510,810,232,068,620,844,731,930,948,988,547,581,692,
932,791,237,620,079,267,308,541,495,732,763,206,346,572,172,233,197,739,100,
457,684,589,379,176,825,355,266,594,498,159,890,114,331,436,053,553,577,349,
232,296,971,866,013,953,523,268,243,283,682,989,679,327,252,122,113,937,665,
802,731,754,323,104,326,757,214,233,866,839,974,152,763,308,142,631,671,695,
631,121,723,376,961,951,179,413,691,230,240,983,624,806,937,213,152,844,509,
896,832,650,511,666,973,226,888,991,331,640,018,098,205,684,364,989,412,215,
001,144,596,491,586,200,758,472,637,280,913,866,833,426,525,260,549,674,143,
567,804,909,132,682,374,612,014,210,092,762,960,943,431,317,946,703,399,096,
162,676,162,090,917,257,747,869,488,215,518,732,608,109,251,227,055,950,043,
636,501,978,073,889,173,145,877,155,130,532,518,817,693,570,142,272,899,544,
969,750,565,021,681,785,828,717,291,750,973,939,811,456,393,452,848,258,041,
833,262,587,117,877,614,471,626,199,605,340,315,847,856,139,036,114,658,970,
130,884,242,792,697,587,082,395,298,584,041,497,721,902,956,840,364,234,161,
478,303,688,960,521,136,466,603,913,360,050,799,556,140,116,061,531,347,097,
701,459,626,700,993,831,219,475,093,112,098,927,994,339,873,693,521,802,545,
253,849,552,395,450,941,891,513,666,652,982,497,533,496,563,165,381,410,042,
010,207,259,756,510,678,004,331,929,059,730,875,362,718,376,695,376,736,130,
500,699,220,038,263,560,954,475,857,345,042,056,695,118,465,130,131,134,991,
627,183,902,628,586,650,989,097,920,274,306,967,514,566,788,355,093,265,322,
840,377,574,351,159,759,324,659,776,082,879,223,842,183,053,341,286,401,985,
387,843,469,655,366,822,220,128,761,031,665,744,824,309,556,932,950,059,772,
379,958,750,842,712,807,080,149,593,478,732,113,033,340,649,146,862,318,380,
054,376,085,998,553,436,881,968,473,533,458,832,697,825,559,104,240,335,004,
807,407,307,928,560,773,460,183,720,089,975,754,369,011,366,053,453,965,558,
171,116,643,346,069,337,384,188,665,149,331,301,484,357,586,977,322,663,500,
472,288,498,292,742,929,008,086,851,809,700,106,107,103,508,106,463,915,018,
789,121,997,124,423,039,033,473,681,734,716,301,742,504,234,680,395,414,359,
436,331,642,969,735,165,081,009,899,359,763,700,138,151,749,952,504,205,366,
152,227,010,046,294,641,106,087,233,593,992,446,216,997,857,348,330,648,923,
253,014,947,690,844,482,831,847,068,713,404,503,982,045,993,494,854,038,358,
346,625,094,180,309,847,333,975,774,230,872,738,691,258,674,140,122,855,861,
082,701,182,394,121,432,579,879,592,515,562,394,454,078,525,082,726,397,222,
791,153,452,322,581,696,786,218,663,284,246,733,803,037,656,971,131,818,750,
394,954,254,025,361,307,974,683,243,089,659,848,063,801,583,798,965,134,153,
064,278,266,672,520,178,208,277,559,671,293,755,069,453,090,290,903,774,732,
314,126,821,478,852,378,728,311,526,431,515,291,063,173,529,924,967,493,781,
388,702,669,667,577,390,441,064,785,645,154,226,545,579,432,263,700,869,367,
474,563,346,808,393,346,461,986,048,636,591,252,071,456,903,289,461,869,095,
177,214,315,561,401,018,764,698,715,087,741,742,716,889,764,905,555,341,388,
683,935,671,707,886,785,378,870,727,021,132,553,229,618,087,076,494,305,795,
965,830,347,659,563,988,722,713,379,477,150,092,140,758,296,508,507,920,061,
352,615,059,444,881,201,823,310,286,586,783,565,811,702,068,934,236,589,191,
584,808,080,879,275,488,007,857,588,232,605,361,453,412,898,290,779,101,253,
291,239,726,075,496,811,059,542,018,341,773,629,454,572,621,363,171,626,523,
877,431,629,945,144,819,422,198,575,721,703,683,296,383,043,013,468,870,702,
842,392,569,767,863,989,011,839,409,976,563,483,489,033,131,566,234,169,870,
275,098,675,974,476,539,652,308,445,871,136,598,059,523,186,750,094,839,348,
194,848,920,804,091,256,238,695,316,897,963,575,578,554,708,966,751,391,971,
540,341,804,666,553,613,813,092,834,446,241,254,258,108,077,315,645,060,623,
021,745,297,292,195,524,338,045,306,941,402,574,827,732,324,025,213,410,058,
583,263,673,984,926,549,364,571,885,428,048,314,155,626,541,260,762,407,889,
427,776,317,133,476,901,448,388,915,184,001,327,159,632,459,519,001,486,408,
761,024,840,306,308,776,780,199,841,408,191,329,915,460,618,109,215,290,904,
597,917,354,395,848,614,943,161,991,834,156,019,709,153,515,460,771,130,360,
384,847,428,411,891,986,505,910,083,106,532,979,996,290,599,167,620,301,814,
491,922,779,437,673,886,752,688,358,553,320,899,506,249,979,643,832,525,369,
511,162,792,200,926,738,287,070,126,008,059,857,873,573,318,223,996,853,709,
514,971,875,845,547,733,422,538,219,644,976,310,999,931,896,132,886,772,162,
782,389,536,974,486,241,254,699,304,567,170,192,864,731,116,405,418,732,085,
100,814,590,798,698,408,179,146,152,094,549,967,409,423,192,969,911,086,254,
810,461,163,865,871,731,953,916,131,667,041,271,519,580,339,048,590,274,213,
593,529,533,846,225,114,615,231,652,828,968,095,825,494,730,386,347,258,416,
385,038,369,171,583,731,030,789,497,533,559,842,291,773,601,977,005,519,885,
845,475,641,019,376,388,601,979,757,433,486,593,916,594,100,731,555,778,703,
167,627,399,258,477,484,432,467,103,631,371,277,322,076,692,824,700,861,643,
781,053,157,699,424,136,106,144,303,006,363,675,607,269,892,085,902,330,070,
800,461,003,945,324,670,467,718,074,099,140,877,025,508,528,744,131,387,320,
611,460,873,083,470,799,576,021,476,912,263,254,480,337,542,421,668,951,354,
474,552,094,239,609,690,155,370,224,663,341,347,977,255,320,171,075,906,149,
158,535,611,234,690,862,171,808,703,789,382,867,205,187,657,246,597,094,957,
665,120,524,348,433,111,588,291,305,158,278,393,061,092,772,162,404,062,983,
246,814,185,916,831,741,478,158,115,847,366,906,526,909,761,002,372,036,633,
130,827,052,367,251,266,165,524,915,920,521,481,551,953,751,038,581,037,223,
526,457,396,928,105,098,920,598,647,151,666,743,556,658,548,400,748,588,097,
531,699,612,137,424,940,122,640,905,438,063,657,841,697,026,593,102,375,863,
803,335,645,924,987,010,695,600,420,317,588,113,042,595,355,500,110,039,769,
015,636,780,174,443,506,826,721,629,570,633,203,354,297,659,740,798,059,944,
511,992,227,382,382,070,980,241,999,965,023,328,879,795,898,582,085,410,250,
820,452,369,086,106,156,167,007,501,996,918,298,685,251,726,264,990,779,415,
186,699,551,734,656,230,637,889,505,615,044,024,533,549,800,725,060,097,637,
274,268,382,355,920,223,988,331,657,317,749,689,832,631,364,825,193,207,120,
811,031,140,922,886,856,223,929,703,212,860,712,457,241,815,782,332,544,245,
689,955,800,180,561,885,893,718,203,447,393,101,249,979,215,965,336,464,146,
354,887,891,307,649,921,617,510,174,131,325,594,364,306,179,882,194,329,735,
908,182,945,950,584,451,190,329,739,772,521,305,988,787,009,687,044,376,967,
577,310,170,366,352,492,789,097,968,536,695,571,927,579,816,167,942,627,579,
999,305,303,231,290,072,978,127,002,768,224,990,595,147,505,539,712,007,923,
265,992,278,275,587,541,664,552,375,794,664,744,024,951,022,933,075,323,438,
853,183,884,499,667,799,336,757,848,648,914,221,596,719,104,207,051,028,715,
344,240,090,325,143,786,377,030,035,137,408,069,857,751,805,249,938,272,520,
151,010,452,727,858,607,465,937,995,148,092,447,965,631,194,515,074,583,568,
296,382,441,450,302,166,939,013,892,868,468,275,063,540,824,566,293,046,704,
594,864,570,657,606,230,753,652,419,115,033,376,431,377,333,732,002,651,574,
481,119,656,925,549,932,101,930,139,249,676,429,823,628,571,033,912,146,263,
859,841,678,280,346,086,207,610,216,302,413,235,957,936,771,880,236,313,266,
674,144,501,698,448,890,437,490,517,299,833,463,293,956,535,471,570,982,572,
725,144,524,055,714,490,958,557,311,424,762,489,267,212,102,520,104,096,801,
337,233,292,399,393,924,785,801,947,403,560,371,553,810,666,979,885,422,785,
339,046,879,311,332,490,457,761,552,165,083,558,341,727,504,524,968,655,632,
831,929,827,107,422,853,356,608,553,656,575,800,097,255,090,507,589,998,152,
240,389,765,129,807,101,495,881,289,566,728,761,602,114,351,453,415,934,477,
457,146,107,469,073,362,144,411,336,125,476,901,366,028,491,443,504,388,890,
101,027,695,529,924,762,175,691,728,726,460,226,681,502,217,510,745,799,336,
494,351,859,613,422,272,261,891,897,671,575,073,048,550,940,324,575,885,599,
985,143,656,303,832,330,767,441,751,849,557,051,434,376,971,294,456,842,897,
569,020,980,104,656,730,310,510,500,570,441,690,374,722,484,026,638,211,179,
678,595,709,918,886,098,659,875,880,851,859,406,791,128,702,426,935,294,315,
162,009,704,885,184,413,958,998,570,457,792,012,113,404,559,474,377,104,915,
436,108,329,810,450,538,798,757,838,107,456,011,636,173,381,068,070,872,579,
411,617,244,434,171,952,104,594,081,179,500,853,172,257,559,914,769,021,986,
248,081,619,610,313,510,764,624,266,748,273,382,975,244,753,340,778,993,833,
443,085,022,179,571,796,019,917,093,850,048,471,364,253,306,937,426,543,104,
649,605,701,328,397,102,943,686,882,102,099,366,302,432,124,850,874,115,915,
563,896,970,725,619,782,720,455,663,382,858,393,627,853,996,819,958,103,640,
545,551,877,218,035,603,109,332,099,716,188,635,305,944,386,726,950,617,573,
250,838,802,739,314,231,877,496,935,726,797,827,076,592,490,276,604,010,327,
192,926,583,642,288,046,854,202,992,358,317,467,939,488,178,246,673,467,226,
242,775,487,046,148,667,206,811,121,328,188,509,967,532,317,974,480,194,691,
279,794,617,224,541,236,733,363,337,511,447,304,121,234,389,048,083,364,465,
336,607,887,586,477,681,489,100,518,050,917,767,456,703,117,634,154,658,806,
008,303,570,270,137,652,951,051,309,889,395,351,305,712,440,940,919,932,819,
424,732,720,137,369,794,915,241,593,256,997,101,474,208,595,667,058,744,956,
946,001,838,658,618,744,547,777,425,121,388,490,077,174,895,789,418,675,358,
450,408,810,894,590,431,414,357,613,940,278,323,479,719,911,753,842,560,806,
528,066,129,215,913,364,072,237,787,521,495,066,231,837,772,126,817,257,184,
553,319,377,351,330,008,325,941,870,600,355,700,182,381,369,169,643,659,264,
794,379,859,405,035,607,305,832,636,482,396,800,710,162,760,773,123,496,004,
248,555,586,246,674,988,221,497,705,471,820,709,476,055,962,618,734,784,432,
509,213,173,284,368,877,648,331,688,051,116,818,104,267,199,680,458,855,235,
981,997,999,354,146,924,014,552,907,533,631,979,648,476,498,880,058,884,033,
530,891,251,590,455,471,383,926,831,935,023,901,749,101,025,133,003,626,244,
646,059,461,796,765,960,177,150,694,940,784,436,734,921,088,550,388,716,635,
635,924,599,630,756,375,193,400,178,427,692,571,007,371,634,132,447,056,921,
446,481,187,427,203,777,578,230,388,789,493,441,372,344,084,401,583,128,249,
878,983,486,278,852,236,929,475,775,135,044,371,258,964,060,488,342,876,385,
070,133,542,393,117,332,165,572,834,131,258,197,690,363,249,460,030,279,356,
976,773,173,073,537,581,378,797,853,068,325,187,257,933,114,535,549,580,485,
317,659,262,189,711,623,690,936,756,325,072,181,897,897,261,756,845,468,495,
264,872,747,030,452,025,860,861,482,122,681,725,544,779,845,295,153,655,367,
919,255,452,947,876,689,071,744,254,512,297,490,899,880,620,354,612,828,122,
730,306,012,178,027,319,923,250,211,356,983,799,004,124,096,830,752,045,335,
695,194,264,571,464,534,802,231,043,460,314,363,467,064,764,377,968,552,716,
027,741,459,374,673,170,278,819,961,992,788,085,588,593,930,825,034,378,593,
389,145,960,606,529,003,972,505,488,951,349,903,789,555,829,466,418,323,034,
335,802,007,033,364,332,332,806,838,306,274,875,975,666,840,830,537,191,295,
299,636,436,294,876,922,960,597,776,775,463,069,798,793,280,123,806,507,081,
454,548,606,121,832,032,112,337,315,373,660,794,522,454,973,034,795,375,753,
143,519,217,113,568,235,441,280,785,171,433,940,278,264,956,743,951,494,992,
577,373,777,122,036,420,021,539,514,296,643,268,834,716,301,160,931,039,911,
585,670,319,604,310,504,733,951,569,115,823,129,628,056,751,672,315,449,599,
231,129,740,075,094,544,636,315,882,900,899,241,841,094,008,815,092,751,177,
983,061,807,668,074,293,672,601,385,077,736,824,717,199,990,810,621,221,721,
141,095,866,185,021,913,696,794,466,048,857,717,016,814,656,938,524,502,607,
533,145,954,772,809,750,248,492,467,357,688,433,447,932,374,288,740,400,438,
741,376,387,415,266,600,554,110,590,364,396,213,489,326,228,920,466,312,657,
498,649,667,006,701,334,274,056,963,516,404,327,807,516,684,727,781,310,532,
891,729,102,586,068,018,418,688,991,642,595,174,886,062,520,498,037,937,226,
940,079,741,429,473,743,354,225,820,038,748,118,085,865,796,655,810,871,712,
030,922,895,284,965,923,960,411,686,628,913,164,287,427,322,824,441,137,195,
436,726,197,693,304,524,415,176,677,283,686,895,180,380,307,770,536,865,205,
190,646,667,833,265,198,720,200,794,735,817,408,992,552,176,436,551,439,329,
059,002,289,205,184,796,905,326,722,692,550,162,114,845,484,882,588,125,783,
004,371,391,930,916,643,379,469,959,371,193,135,327,248,263,086,146,696,274,
800,587,836,195,953,714,438,571,005,572,078,266,717,442,264,356,222,672,516,
763,994,924,623,668,238,695,984,162,454,955,531,689,319,998,332,302,775,630,
321,619,475,731,555,370,004,467,542,830,123,326,346,248,128,700,334,481,649,
514,303,691,963,766,003,379,655,692,522,139,015,455,426,469,456,389,464,702,
636,867,816,176,122,879,968,676,535,216,358,601,476,750,770,585,217,874,459,
467,147,398,960,430,353,209,293,217,828,454,754,044,395,774,898,964,358,938,
336,724,577,359,863,946,324,779,437,145,747,026,147,199,603,112,449,440,326,
878,583,684,540,735,076,102,362,550,072,510,223,342,217,509,721,779,607,367,
436,672,200,422,003,249,593,976,464,655,618,111,069,451,536,543,147,764,400,
706,792,220,431,295,377,721,242,931,637,316,460,727,486,918,799,029,411,180,
707,310,051,918,426,235,415,830,261,985,512,978,074,015,007,763,317,867,939,
115,847,169,871,944,179,544,277,773,795,172,205,496,229,841,306,150,182,646,
161,241,829,576,639,628,352,995,950,292,041,128,949,248,626,539,022,957,424,
920,948,296,295,628,087,165,931,446,014,298,827,303,109,072,114,749,866,062,
219,647,128,130,685,158,013,287,791,958,462,000,298,376,633,607,149,458,193,
999,406,554,248,411,956,239,136,551,250,218,908,091,848,485,541,552,946,354,
325,936,742,576,395,764,594,993,471,397,293,905,206,013,798,134,058,392,336,
586,936,269,363,839,605,811,937,778,680,289,049,307,188,984,940,653,941,603,
688,163,709,699,658,631,171,155,447,851,050,358,224,318,942,275,461,083,708,
734,580,751,903,505,893,548,439,727,294,351,405,695,069,978,530,495,118,980,
517,193,080,993,374,131,956,886,885,893,983,146,238,398,093,719,813,697,106,
629,556,829,868,836,743,575,970,725,308,010,450,670,192,046,964,345,860,261,
678,010,954,643,927,224,788,445,738,100,154,392,180,811,254,147,387,944,399,
004,676,862,019,170,309,336,414,370,477,715,497,159,612,401,228,487,620,280,
139,154,578,547,423,238,495,628,387,929,278,445,853,692,388,769,875,453,826,
169,187,661,199,008,918,459,410,779,158,832,476,670,564,092,331,807,537,691,
798,177,082,540,197,886,058,532,112,723,545,766,588,503,902,862,979,093,879,
832,770,119,780,214,730,015,310,880,450,742,683,665,460,181,679,997,577,370,
165,932,812,635,116,390,899,170,782,364,876,519,994,119,734,560,200,447,164,
004,850,471,071,861,914,524,467,122,423,284,764,022,188,965,280,066,059,556,
421,743,912,021,528,171,091,029,802,867,413,600,721,129,214,926,191,970,616,
619,608,060,569,896,318,799,471,329,620,626,400,882,331,949,767,600,689,857,
091,157,844,413,301,769,225,613,198,839,796,006,778,790,014,734,281,002,823,
517,718,033,865,420,328,092,759,470,111,648,388,767,407,629,297,794,104,589,
031,000,623,748,099,799,024,647,772,390,553,179,315,394,209,114,628,754,816,
689,263,111,162,289,451,019,936,696,227,406,381,246,563,585,003,915,930,195,
560,649,234,731,648,932,445,399,090,690,733,128,471,521,266,591,870,283,684,
213,144,939,598,150,888,244,957,218,270,855,762,133,000,604,869,400,427,606,
260,859,656,421,472,821,496,469,806,252,016,884,055,229,563,152,643,128,452,
292,193,603,384,108,511,863,518,884,133,698,258,925,705,152,613,912,510,240,
141,791,360,369,180,945,000,936,778,678,564,393,584,117,848,500,208,205,884,
952,188,607,752,837,788,611,956,300,632,474,380,353,761,903,713,265,205,402,
596,870,051,468,074,843,496,552,497,257,738,402,725,246,691,029,770,583,467,
035,955,932,652,416,131,642,008,684,302,684,715,276,195,159,485,633,433,972,
346,607,918,379,290,068,199,193,309,072,008,119,150,940,110,405,488,812,564,
526,729,710,713,037,942,162,949,133,536,337,878,486,451,846,092,237,891,603,
869,368,221,661,304,128,071,348,799,621,053,138,680,513,268,313,614,788,855,
976,250,291,933,502,734,647,833,900,861,607,879,618,456,577,110,241,026,886,
439,968,546,691,018,976,368,179,711,479,272,837,653,291,884,377,525,084,240,
409,525,627,694,772,313,425,121,434,453,316,738,124,579,579,345,692,626,794,
971,934,338,461,799,509,766,042,998,213,924,775,707,213,429,076,013,716,872,
653,046,664,103,193,629,716,430,762,182,424,236,402,401,872,609,713,748,922,
760,991,985,598,965,852,453,952,913,670,922,910,522,078,707,851,478,851,236,
142,894,412,542,181,165,839,546,386,983,286,571,815,004,451,571,452,610,981,
644,722,098,992,306,258,947,842,619,604,349,494,234,819,936,628,665,358,574,
242,919,185,038,663,982,004,066,164,315,029,674,783,585,419,832,717,331,602,
064,243,354,671,522,846,204,370,273,373,915,669,218,796,592,998,293,366,679,
919,998,774,988,458,766,540,649,410,283,989,881,551,474,063,720,294,167,692,
019,646,964,783,551,402,282,424,300,029,053,827,334,214,286,386,372,111,786,
960,351,737,824,866,481,267,236,329,336,487,436,746,585,087,438,758,865,155,
862,796,061,296,710,768,440,604,009,047,097,769,812,248,351,916,204,525,312,
152,900,241,545,572,814,196,625,804,059,123,849,789,834,795,228,381,504,701,
360,048,142,447,238,384,898,414,412,590,079,072,929,424,287,000,949,323,314,
917,468,488,756,341,083,110,793,459,020,699,605,745,525,060,666,992,578,635,
769,710,795,629,692,041,588,858,836,884,284,226,485,561,579,345,160,228,003,
599,129,664,077,126,983,142,742,399,289,826,028,776,953,984,884,410,648,968,
260,021,286,818,784,004,907,079,373,277,015,575,932,201,213,183,464,291,279,
832,308,150,373,888,161,898,816,348,561,437,124,844,848,636,365,812,742,521,
404,563,624,122,755,341,333,771,550,544,724,564,801,154,653,309,701,234,146,
181,103,742,220,760,710,561,531,642,785,218,422,943,560,585,636,192,019,056,
502,730,906,455,044,776,017,700,148,393,506,319,877,515,819,740,240,712,487,
007,039,120,521,381,162,822,635,745,696,052,785,995,559,173,463,777,107,019,
850,902,716,274,337,846,454,858,888,206,289,336,001,940,736,048,156,672,146,
253,867,046,872,696,849,933,866,214,926,254,861,569,945,533,260,874,530,196,
365,530,467,807,193,583,367,836,936,234,967,803,632,430,096,064,846,505,595,
357,580,998,281,677,019,146,524,929,279,275,723,639,711,563,137,727,442,192,
777,567,680,604,834,315,171,674,932,475,138,864,148,809,527,004,380,136,914,
080,894,793,977,124,622,276,285,669,619,114,685,558,827,204,058,704,771,120,
482,970,020,891,403,664,153,720,373,861,438,311,986,177,353,938,881,333,895,
930,485,205,477,235,781,083,039,831,439,804,035,135,740,739,811,743,977,174,
642,651,357,812,563,461,401,719,913,533,404,827,089,057,846,437,035,120,389,
591,583,170,711,434,593,653,803,288,418,318,451,263,818,946,981,230,031,718,
580,845,993,456,424,709,773,963,255,143,035,052,065,828,773,421,506,214,160,
046,735,063,883,493,021,579,749,004,051,319,183,053,819,075,244,838,947,470,
557,862,385,551,430,313,232,857,603,493,371,033,231,159,420,718,065,502,263,
476,272,415,295,153,145,353,009,417,527,769,489,812,298,822,211,665,720,821,
297,046,108,894,788,025,810,281,119,130,189,412,001,453,448,181,020,632,287,
114,916,143,209,102,263,505,600,000,610,378,338,939,106,622,266,171,621,429,
112,252,499,185,633,459,959,867,427,858,336,035,316,874,902,562,454,391,783,
740,445,548,313,447,490,045,059,046,540,489,547,006,073,287,734,037,573,785,
550,387,829,968,879,669,839,002,467,907,974,508,815,680,115,195,028,214,384,
998,040,582,642,627,796,052,128,920,132,333,841,615,806,736,764,257,006,785,
407,300,649,695,302,258,389,714,000,521,124,728,461,774,044,206,152,845,171,
447,000,059,578,024,885,165,513,664,774,249,179,037,599,204,848,351,345,933,
301,667,202,589,035,830,618,513,250,583,949,561,915,981,448,845,932,052,728,
785,204,127,244,148,243,957,630,154,490,194,899,016,960,203,346,754,812,281,
805,265,943,165,141,545,991,509,352,391,414,420,644,909,403,435,042,606,630,
208,006,966,583,791,340,945,553,653,421,028,108,898,307,989,196,596,586,223,
355,625,379,997,340,135,210,709,670,893,259,201,298,098,710,627,274,482,020,
767,377,634,911,899,710,323,592,528,476,278,618,644,203,075,399,122,774,928,
130,948,439,492,427,233,952,600,541,989,474,599,159,262,385,973,970,101,044,
553,221,009,859,871,292,052,683,072,441,576,743,654,582,296,427,232,211,518,
122,225,386,366,634,647,094,386,559,798,133,619,164,451,767,173,599,093,159,
893,065,837,837,564,487,038,614,140,452,890,326,403,708,261,582,491,351,140,
398,210,423,957,457,746,166,942,100,563,693,326,278,931,974,932,790,340,763,
862,924,097,197,908,731,349,075,453,622,303,246,390,688,834,487,394,102,768,
063,440,323,200,546,325,048,888,817,333,179,821,377,866,503,035,531,898,769,
717,129,649,166,158,093,261,442,306,731,434,746,047,832,288,964,984,486,485,
757,086,610,664,301,530,089,951,287,162,642,607,198,553,835,271,520,068,057,
882,548,470,431,854,045,719,121,390,641,112,809,120,513,922,771,600,975,987,
289,448,586,756,059,408,142,849,559,613,789,682,048,020,764,453,391,234,927,
446,224,426,085,961,275,551,878,186,080,756,860,824,554,085,589,838,152,891,
018,362,006,817,512,153,181,233,979,893,757,283,116,906,368,804,437,037,914,
916,047,066,822,038,592,891,732,698,408,301,909,095,051,474,956,466,613,418,
103,258,040,519,348,841,418,727,536,816,202,198,085,642,205,476,139,225,789,
579,105,608,755,633,848,887,024,545,284,097,545,080,284,862,959,584,736,140,
859,370,892,988,712,769,954,470,969,186,084,030,094,498,486,494,488,979,337,
393,920,932,617,819,625,240,113,769,217,486,154,290,619,364,563,953,745,174,
845,320,523,694,316,153,642,404,565,118,393,852,756,995,302,862,851,016,147,
959,597,209,209,896,782,194,178,713,944,071,554,988,871,569,071,817,048,645,
813,295,742,479,530,722,342,599,902,538,562,036,766,732,501,475,525,449,625,
013,624,217,673,178,213,542,121,793,475,436,317,237,354,074,927,981,533,562,
548,010,009,212,752,268,560,752,643,275,944,499,458,387,920,855,336,249,964,
562,460,359,866,393,597,139,587,715,792,628,495,318,975,506,078,457,162,469,
261,789,662,697,963,307,187,150,636,113,364,202,619,187,857,521,015,645,029,
462,328,208,112,028,562,571,778,959,885,061,442,404,823,282,292,825,470,591,
736,244,005,552,841,303,429,737,927,985,444,871,619,767,104,868,296,322,121,
354,207,306,611,694,670,145,912,221,852,767,727,868,643,317,970,226,061,131,
801,829,778,697,727,159,456,668,943,976,048,618,237,821,146,505,904,465,798,
954,874,868,386,530,224,454,421,726,658,770,324,750,986,315,649,560,668,612,
139,156,024,822,042,780,144,501,812,800,229,645,646,992,687,664,530,338,428,
579,100,498,455,141,770,472,835,194,616,975,179,696,103,354,723,329,122,142,
242,012,428,845,848,253,664,968,273,874,046,217,163,956,024,262,176,956,289,
697,649,749,918,670,619,721,789,219,913,615,006,718,783,674,058,521,436,853,
092,225,928,339,981,181,001,251,152,646,097,708,440,428,183,759,203,677,230,
511,640,492,415,118,508,625,057,015,434,410,269,940,351,976,995,962,933,007,
889,737,084,944,414,474,669,548,292,123,420,651,042,823,513,582,268,994,493,
447,999,955,919,013,167,902,183,209,169,880,761,061,719,781,961,581,611,251,
577,039,453,653,718,075,007,774,773,622,843,479,722,042,335,138,409,975,917,
404,269,519,723,061,602,677,217,831,208,705,705,934,439,611,508,306,286,472,
592,426,781,981,118,753,593,098,469,426,927,598,803,177,997,828,277,561,268,
436,193,251,379,619,561,562,049,974,377,162,037,523,641,350,554,361,672,293,
303,480,865,183,559,957,382,327,588,842,875,411,259,994,817,025,216,347,326,
688,173,960,530,230,900,688,289,261,376,522,522,749,914,469,245,903,750,065,
478,459,083,670,367,136,987,468,210,813,029,686,325,442,968,848,142,044,104,
270,096,081,717,794,596,587,204,329,309,059,240,885,366,785,559,539,914,646,
594,248,333,185,566,727,188,310,286,550,798,355,340,036,729,195,227,471,429,
964,940,010,146,377,520,885,362,535,661,163,614,031,987,103,112,559,171,167,
791,408,921,479,332,562,695,240,057,682,489,852,019,472,025,713,323,618,434,
947,942,988,339,697,657,846,547,129,728,742,223,901,705,307,869,107,081,973,
737,536,301,777,618,503,281,866,986,725,117,327,155,363,928,999,276,548,901,
191,329,137,368,181,284,316,702,367,316,024,386,124,491,826,680,026,306,073,
739,709,144,773,026,971,930,879,965,788,757,068,226,371,009,651,363,707,336,
341,528,355,519,683,609,450,251,549,805,708,411,926,662,075,510,805,805,231,
958,340,890,018,258,355,968,059,929,755,355,750,949,919,262,402,009,132,254,
953,695,412,071,002,681,216,831,576,100,309,579,530,950,636,566,827,853,510,
774,534,261,292,797,523,283,442,226,455,104,899,262,512,525,683,129,214,521,
857,781,784,857,988,550,281,950,283,676,303,989,426,171,813,323,679,732,051,
894,022,088,352,623,838,271,334,541,536,398,235,071,157,514,650,461,811,436,
957,590,907,588,282,643,650,877,113,586,320,542,799,583,184,656,323,249,461,
462,238,996,797,189,082,238,312,261,514,674,878,697,476,896,620,412,505,922,
283,544,665,463,712,110,030,822,664,400,350,865,021,699,122,420,059,601,315,
110,105,045,418,272,900,070,880,533,114,065,898,952,783,996,361,125,152,930,
008,527,606,101,229,107,710,144,894,307,334,778,750,535,079,459,838,231,407,
219,948,884,788,227,456,698,177,873,867,554,385,802,018,230,723,292,849,662,
852,720,033,533,738,150,682,210,235,901,226,594,790,448,009,055,315,206,158,
724,450,543,823,815,242,712,218,815,623,291,983,024,791,875,353,465,160,182,
423,626,705,477,004,113,034,138,745,791,306,674,082,129,947,858,961,304,198,
219,036,953,390,810,929,643,827,599,085,107,814,411,331,878,603,222,950,911,
874,314,633,907,329,121,688,884,375,462,899,577,214,166,762,188,290,397,166,
750,098,218,898,676,616,685,994,556,342,313,075,949,803,017,927,964,534,606,
012,208,553,277,032,262,759,297,109,368,622,412,518,403,067,789,201,909,352,
405,012,739,644,155,540,560,912,219,338,597,805,037,378,455,601,492,325,122,
932,180,058,370,778,240,057,255,915,649,646,985,303,567,515,710,188,048,885,
776,646,318,157,649,793,606,791,543,453,439,622,962,841,059,288,526,193,105,
324,111,647,582,627,312,703,549,899,807,932,469,711,806,168,829,278,780,686,
199,168,465,998,482,728,929,904,468,160,687,206,859,283,705,343,452,061,522,
868,118,893,406,035,368,716,157,308,818,453,739,792,144,165,885,166,516,261,
799,599,649,225,085,654,404,532,157,353,637,272,366,631,771,861,653,129,516,
102,957,080,335,198,792,572,981,837,737,022,702,024,938,146,370,839,027,974,
385,027,245,369,653,190,535,362,799,143,464,666,973,856,034,727,241,153,983,
527,688,550,707,735,826,202,371,515,828,785,335,428,944,557,969,172,363,881,
787,473,278,532,667,746,416,468,014,779,347,744,099,980,734,080,096,259,181,
036,609,729,658,761,773,822,865,603,520,081,863,827,109,205,477,387,622,502,
430,958,280,433,063,612,699,086,538,281,028,113,995,102,514,385,188,748,305,
649,589,880,023,848,225,567,138,562,626,088,120,822,139,382,434,126,058,876,
865,343,345,646,153,413,289,001,549,119,787,501,911,791,079,663,859,276,810,
785,362,910,419,915,324,808,535,176,802,020,519,437,584,721,434,765,591,687,
792,679,306,813,208,122,239,895,109,632,797,684,718,491,821,677,079,375,868,
255,564,484,866,152,451,234,703,672,878,563,065,262,837,731,213,613,605,685,
937,043,471,093,633,926,669,620,039,260,172,544,642,622,891,898,276,304,870,
717,588,240,725,093,216,340,199,151,596,735,077,881,166,300,994,009,091,924,
854,369,726,070,440,290,429,467,091,630,447,789,109,160,847,521,283,932,479,
946,928,210,477,864,816,039,478,016,600,855,615,723,035,039,723,858,292,509,
925,225,284,949,143,326,345,136,073,879,786,061,040,507,346,653,269,616,541,
605,328,243,438,230,159,902,161,544,111,262,534,251,590,651,312,205,413,293,
292,386,930,866,633,816,273,406,113,940,068,732,018,645,198,032,622,661,730,
732,095,415,505,179,864,973,645,572,762,275,121,971,366,336,196,075,121,105,
051,462,144,040,562,420,197,629,577,595,006,441,417,141,141,409,435,398,717,
010,877,361,167,472,381,769,012,652,170,314,183,785,711,924,871,858,180,006,
722,583,936,810,914,014,385,132,348,089,198,226,596,924,722,987,070,830,725,
400,234,682,699,365,863,965,991,717,953,893,094,927,984,944,769,001,182,243,
294,058,683,730,411,484,546,922,343,659,281,788,324,539,952,574,352,611,965,
603,774,511,637,757,922,788,125,123,539,828,764,187,306,940,249,855,132,137,
652,007,004,361,557,965,306,593,956,086,279,708,771,105,566,084,323,749,310,
823,787,645,938,369,531,016,395,188,604,471,613,951,575,249,496,075,071,849,
363,470,522,898,614,613,879,897,836,413,816,071,653,273,581,726,090,004,608,
838,350,131,955,213,687,468,342,282,923,317,811,224,577,859,419,099,741,721,
616,750,560,108,864,283,154,663,759,417,256,867,140,902,815,717,813,504,146,
598,044,475,780,437,477,043,536,932,603,979,604,292,146,570,568,654,389,367,
982,025,796,655,292,292,704,815,383,292,981,155,847,233,246,638,578,585,555,
601,490,915,973,425,277,995,276,827,209,168,540,727,813,705,540,042,853,501,
862,365,984,218,444,022,543,109,011,679,288,173,237,368,232,424,605,710,843,
031,786,858,542,790,150,900,158,034,666,830,053,199,532,208,546,109,916,966,
768,095,671,001,473,910,300,520,620,589,703,494,511,866,317,150,918,490,901,
720,037,977,716,576,120,786,940,482,839,985,073,597,014,828,424,889,006,062,
258,241,444,866,383,248,823,489,013,865,545,890,904,407,298,599,510,148,806,
812,508,949,974,275,236,922,887,639,887,553,702,887,556,921,393,589,372,634,
734,883,691,588,335,872,898,276,689,577,062,535,105,492,135,404,219,378,676,
051,993,088,969,584,629,652,047,276,019,384,275,611,521,973,529,814,820,782,
076,744,255,904,656,359,512,522,684,405,521,856,019,063,115,911,370,603,074,
800,738,095,890,072,602,836,182,944,459,183,309,812,926,848,068,698,676,244,
595,586,706,036,095,097,525,666,737,312,044,181,755,705,209,848,689,188,754,
946,692,998,851,688,992,238,953,631,216,197,288,446,150,169,515,912,331,500,
283,584,539,095,827,300,953,587,490,964,900,948,097,865,121,805,882,350,286,
882,738,743,822,643,745,274,946,211,599,883,757,419,637,498,644,134,789,294,
860,906,888,292,113,040,935,336,361,295,458,678,837,196,282,312,113,238,134,
197,089,589,905,141,930,309,319,227,506,200,957,420,824,283,120,467,041,618,
609,901,744,245,727,577,503,506,095,993,697,266,021,480,749,064,431,574,631,
757,900,498,899,283,381,165,737,534,975,587,094,774,845,127,874,833,359,107,
951,409,333,203,207,945,719,351,383,850,350,555,315,306,855,365,701,005,420,
748,932,002,930,745,038,561,345,324,407,069,761,194,457,136,821,098,943,187,
279,034,758,269,795,368,099,676,495,864,661,053,628,642,201,032,064,905,318,
672,594,134,116,382,001,848,586,893,817,244,382,292,285,507,400,968,404,268,
248,760,287,032,315,434,065,509,332,047,924,658,065,083,756,139,279,723,798,
462,371,019,540,639,670,054,312,116,130,659,311,342,611,836,859,565,031,821,
065,392,972,569,453,003,921,979,729,001,628,129,449,690,194,598,279,167,517,
473,643,056,736,438,307,395,761,262,013,643,076,360,850,493,607,712,961,029,
564,533,866,124,138,316,503,688,078,061,403,393,357,336,846,276,163,957,885,
630,235,597,651,478,047,905,840,162,484,746,280,930,548,061,856,585,443,856,
557,970,338,770,716,748,576,124,055,439,982,572,367,565,021,675,564,918,673,
099,587,122,359,624,595,123,592,076,805,835,885,784,220,107,221,752,659,949,
056,172,485,907,922,179,855,630,363,993,960,654,186,712,162,284,868,410,087,
598,625,186,629,045,546,264,607,372,379,458,533,456,872,237,826,509,514,919,
536,672,011,887,129,916,093,303,761,647,855,972,843,419,914,978,285,962,498,
159,194,453,051,552,591,076,853,894,120,437,828,256,289,491,974,340,871,789,
528,078,093,186,091,753,277,109,689,057,330,423,429,000,821,141,114,918,994,
833,978,898,087,374,195,631,040,164,426,639,138,676,980,755,521,278,335,872,
528,877,681,584,821,595,211,834,735,140,159,073,281,537,823,548,323,307,633,
595,367,988,639,369,616,169,903,610,600,055,054,457,405,695,863,143,520,339,
568,971,388,817,988,725,956,430,158,700,456,957,018,054,584,910,597,305,602,
462,518,054,614,437,076,072,434,987,227,291,582,256,516,138,604,962,056,476,
032,068,613,496,326,297,769,745,452,311,707,634,033,130,760,058,183,029,340,
807,460,993,843,723,110,456,251,531,155,944,831,805,920,496,975,114,627,130,
439,732,595,724,970,846,695,399,540,542,445,208,680,934,168,673,582,941,901,
744,666,679,448,555,547,694,093,894,671,752,491,030,270,853,295,635,578,764,
698,645,420,280,147,632,273,784,041,556,116,123,768,767,074,739,306,358,186,
169,705,947,533,952,029,344,354,628,727,347,279,774,721,056,561,508,064,300,
692,487,051,753,071,926,985,499,201,496,416,589,219,397,513,242,443,970,637,
597,616,861,430,876,831,104,981,106,778,900,664,929,276,235,842,288,922,066,
368,100,830,913,591,899,700,499,365,694,758,427,455,703,564,977,495,902,415,
292,216,404,717,991,806,172,544,886,177,596,363,861,268,777,172,055,817,710,
846,535,762,926,108,263,315,490,672,298,236,181,592,218,950,572,832,028,070,
764,325,886,172,454,022,814,585,314,055,720,122,011,014,817,702,964,527,209,
964,636,249,484,570,092,809,680,937,112,419,880,032,525,421,489,025,763,254,
475,674,634,524,019,768,706,360,439,146,840,367,414,383,311,734,656,740,301,
875,306,219,827,074,154,354,410,479,524,295,982,979,487,546,258,284,178,797,
126,595,319,633,841,194,067,662,072,997,822,604,634,842,019,065,576,138,543,
676,685,714,448,367,963,667,440,300,637,292,544,177,422,872,457,366,331,673,
956,133,244,691,739,562,570,644,618,978,402,141,427,906,382,195,048,336,150,
237,121,288,306,147,239,583,199,510,244,934,977,458,117,152,682,530,336,501,
524,504,412,500,949,006,630,218,847,813,112,225,034,995,890,763,403,441,494,
268,156,191,977,674,852,000,680,095,341,891,070,937,122,770,689,924,029,684,
890,029,775,136,513,796,989,414,305,384,773,634,144,929,192,190,275,287,485,
138,868,445,969,151,975,722,792,102,604,810,371,277,430,372,387,196,674,602,
697,045,941,541,615,042,055,152,412,542,895,924,080,473,360,201,226,322,194,
667,888,778,874,121,460,513,457,175,803,647,827,957,198,696,103,272,946,951,
580,738,023,044,063,115,857,506,901,803,559,683,548,086,780,484,688,094,740,
104,271,705,563,729,481,369,294,989,301,140,621,010,590,141,361,239,939,697,
499,888,779,606,979,533,736,474,329,030,509,484,385,993,467,343,609,921,287,
025,010,107,518,885,841,749,928,701,210,417,149,994,768,401,168,718,706,293,
704,094,837,064,019,757,734,013,231,433,124,225,904,280,445,354,071,891,198,
063,075,313,014,107,959,274,390,463,269,433,556,998,305,019,507,700,901,045,
024,550,023,214,201,153,315,793,110,692,038,189,002,937,672,484,719,686,383,
504,106,525,611,895,817,690,190,414,581,081,832,846,050,829,276,561,492,996,
248,904,328,460,255,130,124,306,600,630,792,455,894,312,489,389,299,181,800,
135,227,421,551,947,082,114,231,193,186,186,049,026,784,191,691,075,415,052,
983,650,222,449,440,612,753,360,106,178,243,679,542,283,952,385,683,780,907,
812,850,895,127,493,836,992,115,540,820,409,047,726,566,300,641,060,460,205,
445,476,005,546,269,616,350,264,089,990,361,572,560,487,645,920,532,571,083,
733,385,428,706,782,830,017,975,231,604,781,753,707,233,803,607,875,763,096,
816,846,948,749,405,517,421,998,092,936,553,189,468,008,350,980,032,621,943,
446,689,674,972,926,206,815,344,925,996,402,666,556,119,012,763,127,894,660,
838,330,064,966,096,450,236,194,557,812,728,182,434,686,436,068,685,858,503,
835,440,018,071,014,348,876,152,841,497,901,966,888,950,999,687,239,473,087,
252,865,608,648,531,617,253,012,155,124,604,954,023,458,024,279,916,945,023,
481,672,132,294,067,041,489,884,367,210,895,038,330,085,012,693,685,568,481,
439,433,531,397,876,635,627,029,685,923,032,826,580,032,923,214,780,834,858,
355,605,784,030,414,023,123,345,153,794,043,026,918,336,822,250,849,705,169,
184,907,921,824,847,932,122,596,697,911,899,138,689,935,860,091,549,935,197,
704,940,484,676,893,891,838,515,932,904,271,389,001,408,268,344,034,536,580,
051,972,927,347,472,126,543,239,284,190,626,735,874,122,694,973,466,336,051,
096,184,115,786,801,428,463,251,879,945,390,075,578,960,417,274,692,567,375,
795,144,942,259,933,698,125,090,173,635,253,388,533,534,589,897,659,717,788,
424,931,228,885,065,619,288,051,431,858,690,293,765,367,120,119,205,044,091,
003,061,123,352,614,109,320,554,974,163,436,906,815,509,258,932,117,161,890,
212,455,003,264,789,999,172,220,022,852,302,514,835,996,201,884,596,903,248,
443,281,397,115,209,741,013,748,739,526,186,154,633,785,762,517,556,307,805,
135,996,125,249,693,636,919,592,241,515,703,442,534,770,699,046,262,082,526,
058,552,429,804,881,113,615,500,993,357,189,517,297,379,329,586,432,786,217,
452,922,079,893,478,920,285,965,458,373,629,105,761,482,911,903,324,199,636,
833,660,277,765,259,523,945,264,873,455,424,653,121,613,083,688,525,949,938,
241,183,509,523,680,213,862,836,486,410,353,136,944,791,588,529,541,858,820,
440,557,860,950,305,563,812,420,500,128,559,289,957,519,650,266,395,479,552,
187,452,397,143,008,977,534,771,318,491,629,114,106,215,646,094,533,282,843,
794,199,464,730,121,921,404,620,359,246,519,789,559,633,078,910,067,504,756,
135,024,583,098,455,633,457,722,441,322,422,455,642,670,459,905,823,126,518,
799,083,912,824,649,671,986,098,704,489,404,254,398,928,471,467,949,693,364,
160,365,471,645,039,465,895,160,679,053,338,917,234,208,294,199,238,002,819,
230,697,106,300,621,085,403,806,984,489,879,405,543,770,617,039,838,985,030,
620,506,052,374,443,678,662,382,415,946,029,874,956,484,595,739,558,469,540,
242,338,732,316,280,653,272,077,904,174,470,091,352,244,635,378,791,450,570,
519,509,599,382,399,116,475,900,704,974,554,586,791,088,458,935,687,587,302,
745,094,671,578,087,839,651,293,805,781,849,599,615,258,354,384,139,396,511,
140,117,569,820,455,739,930,618,064,486,974,300,046,660,591,545,937,047,058,
806,066,768,859,011,225,089,764,006,345,973,376,654,268,322,581,203,251,450,
797,194,689,981,963,939,056,910,630,388,405,953,688,979,377,295,671,096,017,
385,059,650,180,884,524,199,565,829,827,073,404,021,905,342,786,013,622,868,
733,400,624,541,640,406,788,069,952,996,593,056,185,577,285,761,884,638,312,
845,841,686,882,833,966,144,492,679,446,539,725,421,402,234,520,261,770,008,
263,183,055,192,060,589,090,511,536,697,347,438,684,614,398,809,454,612,235,
267,907,522,977,251,897,911,812,894,362,410,340,316,198,475,554,007,236,125,
594,149,420,568,567,014,008,372,143,406,490,530,768,432,679,280,722,961,291,
572,850,020,275,747,421,753,423,580,470,057,196,509,842,788,736,333,163,456,
502,496,055,952,640,561,241,051,240,720,419,234,167,315,832,184,496,467,534,
623,237,849,357,688,318,349,231,614,643,901,603,837,853,833,543,478,911,102,
415,960,166,371,205,278,944,767,129,823,249,596,522,568,757,052,327,771,187,
621,087,139,808,897,675,113,350,465,155,566,107,054,509,663,709,366,050,857,
065,289,598,413,902,755,547,945,340,803,562,539,783,368,451,748,259,835,205,
499,700,760,400,282,938,429,728,087,567,748,147,610,105,155,369,008,360,641,
654,270,046,689,140,514,148,762,123,792,073,444,764,235,836,026,587,042,883,
758,258,228,419,006,186,135,874,984,523,310,686,745,283,771,385,573,657,581,
311,524,788,333,821,866,153,900,177,689,004,319,514,670,771,490,276,198,906,
001,108,635,186,818,291,966,989,415,744,444,613,517,511,868,447,811,841,438,
352,037,597,300,688,141,921,861,121,966,828,790,441,496,987,154,514,058,324,
415,281,666,426,722,801,783,306,177,506,559,887,024,608,916,375,903,023,320,
511,870,052,433,141,700,462,024,465,665,345,400,823,417,388,362,228,777,625,
935,743,764,348,669,958,781,404,858,172,719,286,384,730,964,120,705,922,304,
906,075,924,833,620,853,996,963,527,596,401,534,267,934,180,337,355,559,715,
172,149,442,062,987,744,303,003,337,316,966,364,692,335,885,104,712,197,251,
928,595,613,647,195,559,824,280,221,388,377,585,482,821,342,004,968,771,886,
968,452,456,439,864,282,369,350,084,965,429,873,751,328,758,327,971,276,912,
907,811,210,107,473,220,729,361,158,927,978,501,030,505,347,079,337,831,496,
636,978,326,511,706,882,119,367,685,938,648,819,723,586,532,900,313,006,638,
093,603,268,961,627,614,540,282,853,855,511,231,649,465,403,508,519,735,122,
452,609,004,976,800,066,797,540,746,413,853,505,540,579,567,009,805,403,108,
095,093,493,422,554,385,053,067,367,077,721,635,939,803,319,417,727,313,880,
734,021,914,734,991,329,116,952,243,900,327,200,674,891,465,039,479,448,204,
893,193,903,888,425,988,375,703,248,532,734,665,786,793,416,083,692,945,806,
912,164,638,444,443,787,008,870,209,251,009,786,914,199,250,558,964,819,206,
229,470,679,703,463,890,908,956,055,692,245,258,773,836,057,974,817,962,078,
645,058,702,323,162,017,679,441,664,185,417,547,288,007,407,494,510,002,956,
285,585,674,957,777,203,755,974,983,919,711,172,069,644,707,782,400,430,627,
295,723,112,098,903,340,721,035,186,195,415,947,527,949,434,867,989,672,037,
524,196,886,493,907,210,599,011,513,289,842,387,521,670,786,002,706,990,431,
101,354,772,300,445,748,562,059,308,523,591,502,979,744,860,734,086,657,868,
904,111,738,153,115,166,044,872,134,175,928,368,977,434,165,075,249,700,134,
140,460,804,106,598,819,005,906,433,142,665,602,396,557,524,466,652,729,441,
480,466,919,398,578,300,678,801,843,175,681,537,911,290,079,778,181,607,058,
185,690,978,758,369,151,731,247,462,562,061,091,091,164,449,970,826,791,574,
434,149,907,345,555,724,131,563,679,160,059,633,220,136,768,691,029,883,875,
512,654,184,697,281,963,072,864,636,266,409,386,251,083,735,354,013,387,803,
338,629,062,499,206,421,113,335,739,795,004,177,475,707,515,166,584,714,985,
714,312,814,270,262,720,904,699,774,285,148,536,113,168,785,973,870,888,740,
890,203,230,585,354,367,777,902,520,414,763,622,558,345,151,492,372,784,164,
424,177,663,540,888,922,577,306,284,818,140,631,897,278,293,665,334,263,208,
744,047,799,034,655,843,566,820,196,788,376,052,741,248,323,933,398,912,788,
541,766,863,336,327,231,429,783,760,900,061,363,057,084,624,039,676,271,227,
042,439,404,872,526,126,297,492,754,924,510,304,151,473,252,669,940,169,712,
342,435,304,669,676,821,230,158,226,152,743,389,841,207,112,406,070,535,401,
956,880,646,441,013,753,628,651,041,926,002,799,721,101,912,942,915,091,088,
471,790,137,379,844,869,062,049,173,851,227,713,402,390,783,290,463,356,061,
504,106,808,199,345,894,593,542,439,838,568,451,747,360,138,235,055,303,367,
429,367,018,327,624,217,744,432,782,876,609,755,487,135,791,695,694,189,763,
646,345,786,898,505,866,684,927,742,660,743,927,915,188,277,581,287,126,715,
001,291,174,534,371,867,500,098,405,188,536,695,792,734,981,906,118,486,907,
948,549,418,528,539,965,397,182,709,273,311,480,856,759,991,105,664,657,916,
430,153,880,579,624,949,565,823,859,522,072,026,115,540,870,685,173,551,174,
569,394,701,674,641,166,281,605,506,641,075,591,416,198,589,509,229,549,488,
787,878,240,661,783,269,733,045,193,566,305,188,135,716,936,406,820,620,865,
137,168,923,170,903,137,214,232,625,994,010,401,162,712,232,699,184,416,006,
141,989,608,497,979,676,059,160,960,653,014,221,532,566,183,491,216,546,169,
703,404,896,721,673,836,866,403,522,206,514,151,221,023,477,751,854,691,347,
117,814,575,861,524,810,411,662,626,963,990,050,542,323,750,896,209,609,541,
902,687,004,619,038,894,317,244,501,330,503,373,265,403,622,202,315,631,276,
567,856,601,849,056,834,327,632,922,499,486,605,867,928,826,875,073,722,883,
747,749,828,314,624,400,990,181,280,071,769,608,384,031,150,492,864,914,628,
657,916,346,237,413,508,432,753,254,563,696,997,761,519,235,160,990,370,784,
437,221,906,299,311,544,282,020,592,402,094,377,766,812,115,581,724,802,414,
999,329,586,689,870,757,522,751,806,649,398,640,951,285,291,323,887,598,059,
049,241,523,281,713,146,361,091,702,690,267,938,187,531,325,060,646,728,092,
711,599,056,922,209,600,009,664,573,432,103,699,551,748,712,561,809,375,575,
442,263,608,360,258,692,556,078,768,112,212,909,624,581,170,958,404,172,064,
919,896,442,527,745,770,331,600,902,868,859,662,325,977,090,530,312,488,309,
921,588,435,899,030,282,118,854,363,813,263,905,434,988,234,434,300,407,569,
559,881,169,644,364,498,932,492,052,904,371,478,719,038,891,930,560,121,581,
535,870,152,413,023,433,977,673,498,718,654,659,336,800,604,971,236,321,298,
391,599,981,174,178,151,671,256,486,599,091,190,671,064,737,208,734,034,203,
122,620,235,080,551,960,823,777,615,385,328,530,221,734,091,205,067,324,463,
078,465,782,864,805,822,488,361,496,069,108,325,876,655,208,504,309,133,062,
515,197,938,417,407,917,674,335,902,103,128,576,761,635,638,524,639,486,858,
356,680,535,321,325,964,057,370,496,360,381,828,482,445,978,912,989,344,960,
007,988,291,816,445,546,678,508,226,107,847,670,657,299,437,771,606,061,077,
419,363,625,941,492,094,091,651,183,131,892,887,475,678,120,952,917,907,287,
553,647,848,042,025,165,549,411,716,130,083,983,676,792,460,410,546,858,685,
555,035,985,108,364,232,916,348,418,134,253,836,652,805,212,037,146,006,662,
339,356,990,802,619,121,072,610,516,815,947,401,829,884,069,486,468,896,738,
684,476,787,773,476,018,021,518,284,160,220,524,372,891,652,287,352,451,083,
516,495,515,905,784,390,527,753,405,432,998,999,438,042,921,244,195,189,115,
472,204,555,238,742,188,950,910,650,120,061,577,705,137,086,796,033,540,411,
236,652,238,460,103,949,931,342,545,441,721,190,444,233,192,189,254,539,138,
974,463,599,613,551,773,450,319,360,024,283,736,734,378,525,278,154,639,212,
559,390,580,318,074,006,285,797,997,621,642,981,317,262,297,590,149,964,332,
187,231,304,110,506,537,673,887,292,517,934,786,401,973,634,401,429,141,661,
259,704,013,117,571,243,518,503,544,693,830,120,309,336,391,821,728,111,954,
830,614,662,251,126,968,729,389,534,217,006,636,352,030,758,109,947,564,480,
339,850,308,956,752,141,620,347,473,967,359,516,808,498,228,623,090,899,957,
122,613,787,440,242,025,740,551,017,461,965,085,889,875,905,586,550,255,351,
600,871,044,280,293,637,238,991,153,846,129,079,893,764,401,285,360,355,272,
715,621,870,761,027,079,458,741,860,019,304,701,839,468,526,703,299,367,188,
335,650,127,038,012,000,049,110,429,109,266,025,139,195,115,853,683,815,846,
302,121,338,717,795,596,623,208,125,005,269,998,882,406,035,908,141,100,375,
457,187,216,335,587,795,873,310,529,729,466,720,247,861,840,041,657,162,945,
516,911,909,271,008,624,000,630,221,641,336,169,652,503,257,501,095,824,763,
228,982,920,661,893,337,429,746,604,758,952,955,900,227,762,107,475,493,354,
498,838,659,137,293,337,937,250,378,678,089,967,053,809,439,737,592,791,353,
816,925,108,558,842,929,106,405,423,795,596,177,051,097,407,818,692,027,428,
179,943,310,405,788,156,124,158,349,709,731,925,822,571,776,764,551,159,962,
888,754,567,338,694,475,730,935,776,830,720,071,475,236,032,750,366,798,371,
708,185,878,981,471,474,632,669,704,294,024,831,244,484,037,361,912,860,598,
389,262,517,426,391,307,995,882,150,648,133,089,481,316,868,794,379,263,703,
040,114,098,048,844,772,674,771,080,093,423,512,160,969,954,574,847,165,263,
676,057,697,468,921,048,054,641,930,794,902,107,683,093,529,938,331,978,377,
501,289,682,381,287,123,017,032,953,642,321,827,354,872,442,240,966,299,071,
358,798,022,375,761,773,673,906,673,089,680,508,730,909,224,531,483,083,934,
313,622,145,755,934,525,982,620,067,994,750,783,718,414,366,457,600,980,040,
202,362,471,190,977,715,836,101,161,781,008,892,918,269,370,245,919,620,391,
184,296,467,046,684,863,879,140,627,179,561,768,341,546,098,047,426,021,853,
098,258,188,071,891,697,465,796,192,894,007,576,658,232,270,579,466,001,309,
796,528,197,177,823,976,923,373,570,627,535,131,741,455,522,606,125,204,562,
617,879,098,945,956,087,260,232,615,767,716,722,736,478,252,392,118,988,837,
251,028,791,599,109,564,435,685,211,819,975,988,302,620,482,280,412,665,100,
409,862,242,603,669,838,955,834,983,132,952,211,877,396,475,258,744,012,718,
992,174,980,304,228,771,081,794,764,366,629,230,939,452,830,635,486,150,910,
705,492,278,802,263,644,668,627,741,915,595,134,988,096,143,702,101,943,037,
233,344,046,850,946,098,371,832,250,618,094,062,563,134,035,865,669,431,980,
221,878,033,834,080,015,660,525,400,052,876,055,557,048,833,061,446,645,016,
583,373,338,535,814,905,959,045,004,936,350,473,575,487,279,522,149,550,445,
434,115,736,519,970,413,858,842,106,222,341,560,477,910,091,437,094,125,304,
406,819,804,576,541,274,759,858,450,115,378,354,522,750,814,276,181,084,316,
073,536,474,742,033,535,827,951,460,045,673,152,466,715,364,849,472,171,056,
791,729,533,439,191,943,975,901,578,228,458,070,514,996,196,161,514,620,906,
005,335,517,779,213,822,572,856,099,296,422,616,866,353,678,794,924,981,050,
663,128,772,794,207,517,670,078,233,997,151,114,992,510,706,755,714,054,195,
259,589,212,350,518,120,755,341,482,140,714,814,904,498,888,755,524,553,346,
279,389,651,463,288,353,208,044,843,397,411,248,012,475,588,281,566,001,810,
987,391,783,328,885,671,703,328,981,558,589,747,867,287,192,913,881,215,781,
382,194,686,465,531,563,623,745,720,049,485,101,703,345,305,534,084,919,125,
992,698,671,752,881,257,097,309,480,327,031,479,994,660,477,845,213,520,080,
646,716,279,455,010,511,808,963,783,626,322,510,465,484,166,818,696,196,962,
816,106,885,249,290,610,212,781,805,233,577,646,198,659,448,547,924,366,630,
939,963,500,708,523,320,019,551,365,872,602,587,271,691,215,219,264,265,755,
363,312,771,830,552,043,297,437,454,882,426,972,191,115,789,811,069,975,193,
367,662,679,463,959,430,620,753,827,913,266,148,175,244,936,544,816,227,859,
347,317,935,750,671,755,512,882,282,902,709,152,230,995,603,234,974,836,632,
554,947,279,976,384,759,104,174,369,186,771,963,885,927,889,379,339,017,222,
827,439,770,978,486,662,266,928,666,000,710,863,499,108,510,073,084,000,929,
965,199,402,215,906,459,123,722,909,030,709,299,524,322,014,946,186,989,829,
230,510,253,230,416,644,104,892,811,011,249,952,927,420,298,979,065,249,605,
586,974,247,955,181,891,479,367,418,190,877,140,772,745,362,607,107,456,772,
582,627,242,738,406,498,079,615,558,599,058,194,932,379,479,710,529,159,407,
264,005,252,220,839,203,142,894,992,718,156,215,963,200,044,454,568,138,484,
409,360,650,404,486,091,859,618,860,564,492,640,192,611,594,676,293,985,706,
606,912,213,152,440,546,531,979,261,353,362,995,704,349,538,389,633,198,109,
284,000,386,829,198,529,408,839,205,107,096,075,464,111,744,835,887,759,704,
541,986,317,010,587,589,344,909,439,847,874,485,049,383,232,012,488,230,606,
363,721,999,657,128,198,217,005,885,091,929,674,346,512,714,120,485,019,942,
043,581,706,637,992,521,048,575,978,133,030,098,066,426,436,268,288,771,279,
401,947,710,024,780,813,589,394,490,830,299,139,525,280,955,796,022,855,803,
204,875,131,395,203,915,336,443,158,861,290,261,253,688,542,703,476,110,870,
070,632,940,649,102,428,159,410,914,226,436,208,761,905,514,864,082,586,122,
177,556,574,132,887,421,592,686,917,157,727,615,372,289,312,772,735,494,861,
364,331,169,277,024,829,656,672,413,202,254,661,892,347,527,230,217,248,940,
788,294,163,790,492,683,299,393,133,078,204,200,166,125,021,623,640,098,470,
045,815,295,281,597,946,828,724,180,600,202,787,944,120,247,678,416,160,571,
823,049,101,140,895,479,277,631,086,324,785,594,309,404,472,594,760,874,780,
061,381,885,394,143,910,119,637,848,135,275,445,274,216,285,612,433,492,418,
596,741,576,936,563,962,776,515,013,713,009,187,533,470,940,907,638,117,479,
170,261,512,108,910,280,593,984,645,355,377,433,754,145,246,507,564,699,247,
824,910,929,567,676,700,979,103,762,666,037,919,094,866,084,639,486,361,918,
360,360,172,857,588,264,461,854,993,319,001,835,740,301,128,660,258,824,942,
758,760,032,596,041,984,665,915,552,500,362,131,085,248,773,950,483,527,274,
263,345,160,342,529,992,900,736,991,898,317,985,235,933,315,968,499,638,655,
134,287,109,024,355,873,085,875,762,786,657,464,730,796,375,606,270,620,245,
971,682,485,214,999,035,464,657,171,081,067,717,198,645,467,553,787,543,834,
838,425,864,002,191,365,497,796,200,259,240,466,326,002,649,339,976,203,237,
008,583,352,596,896,529,813,503,923,089,801,509,405,554,625,815,148,737,688,
502,156,125,865,985,026,429,610,995,468,746,874,721,009,857,669,589,310,214,
051,107,922,818,636,456,095,792,414,943,224,831,836,414,459,528,617,711,310,
868,171,407,780,791,021,184,443,456,528,837,168,701,162,592,872,695,162,067,
323,085,568,323,256,925,196,892,489,914,664,905,456,627,956,654,121,663,075,
894,493,968,525,398,204,273,836,125,877,076,810,558,178,916,436,823,807,588,
917,453,558,070,060,037,727,019,361,157,119,376,984,469,337,862,390,809,710,
158,547,293,140,573,725,896,552,291,901,617,830,313,594,378,838,656,065,396,
444,448,775,758,623,780,960,851,847,230,302,455,990,187,476,411,607,405,662,
823,249,427,826,233,323,411,169,506,766,933,123,508,116,944,506,698,784,757,
550,386,677,233,417,871,471,840,397,888,027,721,759,372,814,424,543,428,772,
790,243,985,348,435,392,475,167,121,024,454,357,929,045,657,313,731,447,881,
954,776,194,565,182,048,522,818,322,553,655,848,155,177,209,315,330,385,038,
839,440,848,917,952,253,931,823,891,634,666,495,264,638,356,108,272,372,596,
940,259,507,493,340,449,834,409,362,697,210,026,189,596,437,940,142,304,367,
671,699,956,730,887,236,295,762,024,935,998,761,964,675,140,849,935,580,248,
453,917,744,287,327,785,989,180,320,499,808,791,250,843,884,589,793,594,531,
961,275,965,617,050,726,450,607,570,950,123,087,678,171,919,047,014,142,608,
947,707,058,275,381,788,349,582,997,238,791,909,556,082,015,700,977,823,376,
150,648,744,498,508,782,901,033,341,964,363,215,262,215,004,697,143,097,332,
058,723,771,821,413,085,671,718,166,701,154,149,172,103,658,030,911,229,020,
930,747,403,593,062,190,005,352,411,924,852,685,088,506,299,786,735,931,869,
940,111,601,047,392,379,851,951,437,774,644,769,393,696,060,678,064,940,828,
941,141,207,925,592,017,946,537,512,491,292,551,517,132,267,378,785,364,876,
641,363,763,106,853,838,786,549,352,278,846,983,072,717,592,256,755,637,066,
027,880,446,312,378,824,180,802,556,447,238,371,342,297,816,951,110,842,515,
187,864,116,075,872,072,177,172,390,527,441,105,548,256,112,573,406,514,245,
957,771,937,844,005,867,106,867,663,903,591,386,502,328,413,850,482,242,218,
285,323,717,241,646,630,216,440,572,025,456,456,153,432,729,568,498,060,007,
125,151,537,141,645,480,783,080,792,886,602,125,708,730,182,462,043,222,796,
605,974,684,603,863,696,878,577,291,182,221,844,401,919,497,010,630,451,641,
015,414,562,001,673,026,387,480,112,016,386,315,967,960,528,186,373,653,153,
614,180,691,977,874,509,073,826,998,091,038,669,796,973,103,054,850,994,718,
793,273,342,237,720,229,943,175,225,897,553,456,389,497,567,981,912,374,705,
638,156,936,023,989,062,646,979,819,607,959,363,676,583,933,548,555,870,478,
971,142,423,849,629,627,475,369,512,256,633,432,722,747,186,609,574,352,153,
447,617,423,640,505,053,753,468,391,860,855,435,373,310,169,907,505,500,841,
737,654,942,108,040,118,551,006,003,826,531,983,239,475,814,681,586,900,143,
984,376,266,029,798,176,851,121,855,640,740,830,270,715,147,068,593,650,116,
141,286,646,452,003,427,843,974,266,233,275,706,371,385,105,828,167,472,153,
576,072,534,023,350,205,788,216,721,144,461,714,231,974,570,872,430,757,645,
425,840,211,209,637,211,543,013,244,806,799,983,792,652,029,195,367,797,233,
302,562,573,661,776,799,757,963,670,453,578,189,738,640,575,990,419,224,239,
007,550,901,497,191,863,307,109,589,575,877,859,538,925,321,876,032,975,358,
892,136,579,776,522,445,019,561,969,727,092,160,656,925,720,860,138,239,962,
882,652,829,673,103,293,220,821,090,026,170,155,653,275,837,850,654,638,372,
706,587,800,138,433,501,461,238,282,490,789,192,031,324,032,470,525,798,747,
292,146,621,618,288,071,143,814,800,488,567,300,020,555,032,186,884,040,797,
483,496,830,003,722,527,479,586,145,227,622,230,979,102,363,387,923,059,585,
539,109,525,455,811,189,914,971,223,116,893,396,282,682,530,812,627,495,660,
867,189,098,601,086,213,188,365,285,088,974,484,421,427,870,732,244,492,101,
227,442,337,311,580,256,046,303,661,465,008,522,086,754,435,880,137,884,490,
274,702,129,403,605,229,045,619,703,401,415,572,110,429,072,556,541,799,166,
337,982,330,688,462,184,177,788,635,490,193,139,175,181,921,155,387,469,161,
363,267,721,140,192,246,424,693,208,669,790,533,506,115,411,692,073,448,896,
797,719,586,387,199,008,677,207,144,290,718,558,807,624,652,444,711,516,648,
955,081,769,143,105,120,938,403,133,132,444,008,742,334,798,423,987,335,010,
773,520,535,452,894,137,887,526,143,389,767,165,692,965,198,479,504,957,489,
118,182,559,120,735,221,180,377,829,336,485,188,577,201,396,900,444,496,387,
208,196,797,182,486,968,758,879,448,971,457,033,094,374,154,250,638,685,426,
914,935,183,544,641,299,613,846,152,303,549,751,062,940,743,763,331,527,892,
981,444,649,003,818,747,554,735,540,703,855,911,197,404,545,862,890,352,180,
509,250,772,337,898,093,213,943,531,495,744,730,833,888,805,322,139,210,923,
896,781,357,621,155,735,113,074,192,331,544,915,214,782,410,556,944,391,917,
688,183,748,081,781,874,409,726,599,351,527,160,760,576,798,807,243,508,261,
949,794,180,839,744,510,608,723,851,252,123,270,447,898,487,655,599,065,874,
256,388,764,734,036,194,783,466,854,051,406,527,827,744,825,254,095,339,666,
755,297,029,541,147,375,034,013,687,126,506,489,294,815,386,381,533,076,229,
328,934,352,238,632,291,566,404,262,488,116,645,028,248,976,551,918,003,490,
622,945,484,050,819,010,832,441,541,486,648,329,608,904,788,732,871,242,648,
979,576,859,781,671,803,085,261,916,354,119,863,362,032,063,395,733,756,158,
650,770,897,117,590,401,439,067,159,235,847,627,075,497,051,890,804,481,981,
414,872,684,975,328,000,353,913,404,688,686,467,153,586,927,281,471,799,134,
557,540,597,659,816,179,685,469,502,922,358,763,471,740,182,768,465,762,565,
536,349,413,551,568,727,247,330,659,235,283,902,155,633,021,652,734,597,324,
449,115,320,543,970,580,676,544,012,975,852,138,640,264,600,740,246,226,659,
637,988,501,943,401,638,230,852,962,996,112,965,718,463,125,401,560,193,789,
018,805,010,451,849,399,387,246,987,067,766,850,480,685,421,439,584,585,051,
986,094,814,744,231,713,103,801,827,720,348,581,939,027,862,715,848,746,944,
688,508,373,418,032,486,370,048,627,345,530,241,958,464,542,169,736,828,674,
639,625,276,170,443,008,707,661,134,779,155,773,857,379,885,401,920,959,619,
051,492,494,336,666,109,264,626,120,121,293,759,135,565,698,305,996,140,651,
412,234,967,910,161,637,876,268,336,129,040,130,077,642,645,363,846,944,331,
050,755,605,065,623,706,534,400,043,491,266,403,577,358,242,589,849,215,727,
141,498,944,355,236,020,140,881,001,644,284,116,533,082,624,629,166,609,020,
484,600,511,270,350,507,728,298,935,987,211,807,750,257,373,335,000,102,572,
131,008,642,717,310,267,799,391,792,710,734,966,844,292,809,588,738,283,026,
399,681,672,359,730,314,663,180,309,723,701,916,716,070,958,217,498,597,830,
914,391,939,010,979,950,045,462,441,363,302,595,793,972,097,633,201,251,562,
660,397,745,083,068,192,340,029,152,940,651,630,012,576,135,399,792,165,712,
836,734,858,943,236,838,465,223,564,913,851,373,607,546,733,780,742,835,367,
052,652,432,896,656,153,502,136,145,033,843,533,185,700,950,028,520,561,708,
483,475,849,961,987,858,606,742,745,204,061,017,420,600,162,088,254,008,515,
491,000,163,751,375,901,604,803,430,114,638,582,076,358,054,824,189,403,384,
503,201,320,331,740,085,176,834,186,166,391,571,080,464,888,967,540,114,951,
693,128,764,216,490,114,524,383,981,282,785,090,399,655,583,162,854,895,580,
556,473,167,567,594,737,946,853,099,997,371,356,978,364,749,311,374,246,009,
706,280,324,773,945,556,853,923,276,342,650,326,412,442,171,312,738,739,443,
823,921,237,444,585,287,765,564,673,927,949,434,851,095,645,784,501,064,883,
782,273,130,592,239,719,842,978,993,215,843,016,414,320,496,304,715,644,907,
208,475,445,718,077,988,744,829,990,011,178,121,617,257,053,009,468,324,642,
014,129,607,476,559,555,744,788,538,936,643,441,134,633,888,374,083,120,982,
054,643,106,194,580,626,292,201,489,894,985,442,142,564,100,030,849,528,438,
317,360,670,780,718,440,052,765,106,763,542,093,525,350,231,301,267,572,685,
909,849,490,781,150,485,180,929,952,715,195,907,402,234,419,951,010,969,532,
510,855,193,708,119,259,294,432,718,296,015,501,890,641,564,080,544,192,593,
075,754,817,108,483,320,351,649,074,162,026,378,320,198,697,480,536,898,931,
060,894,140,988,625,417,429,102,783,543,132,559,700,525,464,580,370,424,710,
222,584,989,577,327,799,673,287,361,301,019,717,918,186,235,834,728,769,428,
052,775,345,563,436,690,085,317,641,721,589,043,392,921,857,037,373,056,135,
764,154,416,799,745,796,324,908,842,125,332,834,838,014,266,115,585,076,068,
682,062,554,934,002,756,676,211,101,365,082,536,132,485,889,124,331,718,138,
204,664,469,902,895,239,051,650,321,253,958,095,118,549,191,008,884,176,469,
315,148,232,695,575,670,114,965,899,944,215,469,663,240,649,558,966,107,427,
019,546,957,330,412,434,542,606,131,452,306,684,040,493,874,459,480,451,389,
160,869,586,207,077,387,391,807,854,144,659,894,184,244,506,400,657,132,015,
902,946,681,414,808,452,920,101,068,110,059,279,407,570,071,094,256,224,558,
561,336,347,865,504,001,965,734,701,071,814,527,319,828,570,342,798,537,867,
239,496,296,282,646,632,818,310,666,356,832,979,095,269,391,296,396,436,234,
823,531,741,105,210,746,547,342,395,469,955,199,318,525,264,617,204,435,387,
831,259,784,542,190,471,893,262,374,254,797,138,863,600,667,790,837,756,799,
768,031,661,654,085,507,653,267,192,744,340,433,257,277,243,676,528,824,951,
044,026,692,060,830,891,092,862,765,322,933,071,872,225,534,786,135,436,128,
657,566,275,264,207,708,680,283,453,724,890,106,229,985,988,984,059,382,333,
869,026,182,399,858,891,844,399,060,833,497,089,059,557,170,058,449,659,146,
167,519,019,895,361,006,506,881,929,897,661,416,164,156,317,150,746,339,951,
710,968,474,381,454,668,006,939,880,106,421,844,921,098,781,141,319,791,421,
835,478,210,675,321,662,564,839,397,484,863,510,426,386,693,292,678,238,175,
794,883,833,613,230,356,375,168,442,796,919,657,403,850,530,378,613,827,133,
168,100,830,455,693,897,922,317,865,093,100,346,286,148,873,853,113,056,110,
880,728,542,947,729,827,308,328,659,735,354,981,450,651,291,695,194,475,412,
165,513,148,228,656,533,936,018,397,647,542,219,218,770,320,720,190,316,695,
411,673,539,882,676,211,003,882,050,600,602,459,422,629,954,847,356,690,685,
414,160,795,948,607,776,308,643,296,989,259,799,882,609,482,907,264,583,773,
546,539,801,194,346,949,414,643,650,950,725,980,453,321,361,120,955,316,088,
123,967,526,425,343,836,585,455,290,039,270,007,577,368,332,700,265,993,234,
169,872,224,168,267,249,982,290,602,057,581,388,076,258,996,356,695,377,692,
722,042,107,923,327,466,534,894,990,155,691,680,902,697,749,115,059,517,971,
893,330,443,098,707,145,669,012,648,931,152,466,540,705,648,546,073,116,261,
847,668,496,438,045,959,463,449,339,490,963,154,276,990,890,604,850,862,745,
592,510,798,425,917,654,889,430,018,033,400,950,847,553,001,686,121,085,259,
249,930,351,410,826,507,914,046,237,989,722,868,331,348,126,040,987,155,075,
572,985,560,478,560,882,318,601,261,336,675,219,813,105,549,300,002,691,466,
877,559,866,162,855,206,250,516,849,770,211,059,036,544,618,074,979,435,489,
263,245,621,863,824,269,995,319,997,658,362,405,973,688,610,856,481,330,719,
704,049,069,228,480,762,416,685,870,532,844,771,049,857,856,257,409,612,445,
449,512,706,433,462,280,675,320,338,730,991,303,471,770,388,537,684,029,791,
456,418,657,256,041,493,742,459,535,656,917,346,630,443,075,440,893,391,842,
502,010,467,555,458,585,766,940,777,407,984,522,621,399,046,634,379,025,115,
440,776,560,282,787,045,118,314,396,932,902,994,097,161,265,814,724,218,789,
963,816,706,936,788,691,709,184,033,860,159,117,749,366,402,669,148,718,184,
052,101,211,451,690,557,975,922,480,250,804,513,623,530,321,612,304,195,209,
597,886,307,727,663,601,401,604,654,814,623,599,002,012,715,366,402,001,329,
080,412,122,542,257,561,612,576,516,207,319,530,582,525,425,715,534,020,154,
241,007,381,728,694,139,460,280,470,677,772,922,986,665,688,224,517,121,957,
087,064,575,765,648,199,938,682,612,263,889,516,802,642,001,166,317,769,365,
231,830,077,269,308,477,519,319,683,067,687,949,571,798,022,318,235,260,936,
572,184,318,623,966,384,911,718,981,155,476,086,242,854,205,340,288,037,244,
337,778,815,006,422,996,245,299,760,451,065,037,523,048,090,332,196,828,191,
877,861,586,925,191,435,667,245,778,086,700,420,240,396,128,027,388,512,222,
162,659,041,692,222,183,619,268,899,122,130,386,537,972,177,013,663,807,333,
395,567,452,164,598,072,496,614,149,061,963,223,297,684,494,295,202,288,714,
872,937,358,987,543,256,864,473,015,830,450,434,532,713,230,842,690,275,413,
607,176,516,680,142,855,538,952,387,907,693,376,673,368,883,318,358,824,563,
751,292,563,893,143,168,133,848,179,767,680,450,217,414,761,979,457,395,223,
129,152,893,209,003,135,239,160,252,004,146,411,322,316,695,071,026,261,577,
489,872,698,644,962,573,804,654,235,149,287,540,875,447,170,562,440,060,618,
359,799,694,153,049,484,123,564,198,851,103,173,128,251,619,605,361,493,998,
854,430,480,712,075,332,816,734,736,174,405,425,020,703,511,969,375,542,816,
822,253,637,439,341,827,931,786,211,405,210,146,736,434,955,097,878,480,763,
248,552,587,619,783,605,626,703,479,872,958,553,403,116,383,799,171,686,258,
730,719,606,940,630,656,014,370,438,835,450,584,466,607,427,577,375,570,393,
841,397,260,321,911,548,734,727,081,792,110,633,816,325,983,089,482,053,289,
307,475,006,560,213,522,939,102,092,798,974,711,413,640,286,760,226,193,991,
265,700,265,728,336,898,898,445,629,552,814,229,743,062,656,339,269,892,859,
071,589,834,829,655,355,429,502,139,528,662,614,213,125,360,511,953,868,576,
063,317,733,294,086,555,633,474,886,597,047,331,426,319,695,780,172,600,411,
072,577,431,708,753,601,956,247,590,322,865,785,873,948,786,224,545,007,267,
510,723,100,339,315,994,208,605,808,177,264,609,583,952,807,507,526,976,672,
547,013,157,224,344,865,101,349,609,043,917,007,948,580,483,693,331,988,502,
321,943,631,753,065,786,767,973,406,569,426,598,940,614,949,595,878,248,777,
078,818,259,823,697,863,041,818,708,775,590,604,500,481,346,607,739,194,934,
017,340,814,656,061,348,733,136,748,201,138,908,515,105,343,950,831,655,666,
831,404,671,726,405,073,714,469,902,565,557,629,692,852,461,214,109,667,997,
370,543,649,786,894,404,623,276,758,893,472,718,621,220,360,518,535,310,173,
307,617,662,042,789,663,474,560,063,794,926,392,905,820,429,059,046,504,362,
029,613,469,838,789,789,084,783,280,314,599,050,488,829,358,002,524,515,894,
083,961,858,139,406,267,787,321,695,455,047,249,774,215,528,865,171,637,781,
037,861,356,377,517,419,005,259,417,706,924,270,824,697,057,799,711,633,922,
537,160,043,823,123,347,177,661,693,973,010,020,171,809,214,302,109,803,762,
160,835,014,185,853,139,820,649,271,258,163,875,016,550,013,178,807,448,498,
326,224,682,104,544,445,431,593,430,268,795,878,058,367,325,654,210,475,867,
579,294,502,655,295,053,455,814,852,836,141,571,517,149,275,134,230,163,750,
190,440,393,316,425,781,123,166,203,092,607,388,307,604,582,658,514,092,090,
409,411,012,740,201,776,923,378,777,138,748,048,090,333,029,403,390,515,937,
478,394,357,014,592,022,653,746,975,344,524,168,897,661,523,655,773,367,780,
514,626,189,220,083,694,156,225,102,458,404,750,903,737,480,581,965,270,555,
805,542,278,188,685,948,625,723,666,327,631,808,253,982,353,573,178,332,681,
665,478,059,531,765,405,882,982,401,772,986,451,920,169,098,439,991,843,653,
432,084,111,074,715,589,692,437,784,159,223,003,532,223,741,182,029,160,380,
868,991,179,907,081,005,709,915,109,384,302,833,233,755,120,232,065,935,719,
421,614,058,877,924,156,745,832,381,875,352,803,327,476,586,705,529,037,946,
447,923,344,231,691,878,568,770,145,095,673,541,037,776,268,860,470,384,191,
801,809,726,085,247,892,914,217,797,685,697,500,975,595,827,714,261,373,463,
771,035,708,876,188,226,910,039,992,946,314,590,905,327,737,115,791,887,473,
037,798,314,160,299,210,666,736,206,867,439,197,317,893,506,575,371,279,817,
896,455,394,195,388,711,714,824,579,748,741,024,881,572,962,451,610,350,109,
670,889,476,434,973,410,464,461,016,524,474,741,550,288,771,417,846,120,424,
259,971,549,132,084,578,783,815,121,445,661,249,650,960,813,658,382,299,674,
256,365,924,858,820,940,780,936,370,230,372,193,462,383,488,924,525,132,796,
591,996,514,330,327,690,813,623,289,458,653,603,313,558,385,953,948,930,768,
709,305,157,392,652,587,620,621,505,213,243,164,151,166,907,210,453,131,065,
823,329,334,544,985,598,822,133,032,195,837,690,445,572,620,715,184,529,565,
641,027,137,642,519,154,224,661,550,830,827,972,500,249,708,526,786,356,138,
401,321,923,349,320,597,992,475,287,907,768,255,014,073,938,820,928,475,824,
368,066,133,056,369,411,897,112,955,500,641,332,793,566,815,112,441,415,763,
137,694,364,989,042,327,261,255,701,996,042,586,721,141,490,503,206,222,582,
873,729,287,972,695,028,170,083,082,036,730,518,025,329,806,263,329,201,451,
056,212,357,801,562,057,054,514,075,752,123,853,313,244,926,033,674,327,281,
558,795,442,946,086,355,259,059,775,212,177,135,783,794,895,443,316,157,487,
363,387,684,035,485,327,753,771,840,257,526,829,570,672,103,783,795,308,324,
606,420,494,304,679,023,322,951,233,991,975,658,324,580,909,702,235,269,026,
737,675,896,143,465,031,023,653,276,175,875,026,804,299,041,940,480,271,775,
428,061,271,538,940,785,515,294,854,862,700,384,529,614,499,964,474,185,424,
025,362,311,945,099,050,317,334,832,846,436,621,136,271,856,450,372,587,997,
699,062,269,141,581,238,182,987,200,049,252,278,390,368,141,665,147,928,353,
733,683,591,355,486,682,052,670,784,086,970,126,818,537,656,623,697,896,229,
910,413,355,460,273,641,110,989,696,678,621,305,987,765,829,613,977,649,798,
837,343,871,517,803,540,985,874,775,567,225,507,606,673,201,304,621,153,598,
973,590,536,351,846,909,341,930,854,070,637,470,354,568,329,813,364,828,317,
713,400,465,528,207,062,094,652,494,104,682,405,986,803,164,490,071,151,505,
815,931,096,549,352,226,757,577,125,085,717,073,763,602,202,931,692,276,807,
440,550,670,769,338,210,502,674,419,904,899,358,826,106,368,485,246,017,835,
867,081,058,598,136,273,261,458,366,787,507,598,971,674,360,277,529,393,574,
676,715,980,560,640,850,479,727,628,357,779,391,989,593,547,636,616,569,683,
445,123,436,691,137,191,357,643,567,114,558,531,101,344,363,356,516,422,994,
941,448,188,585,072,015,624,158,284,624,444,254,127,547,651,328,610,651,005,
160,558,297,056,328,327,529,273,582,603,136,363,681,661,702,865,680,156,638,
617,008,473,185,416,044,969,116,707,696,410,641,035,898,164,830,051,347,919,
821,985,027,397,123,070,363,339,215,175,553,956,813,884,617,183,490,419,691,
744,436,363,806,592,110,078,676,492,114,139,466,351,510,761,344,376,089,606,
824,262,349,302,644,409,234,051,823,348,265,146,479,479,407,666,389,171,134,
438,754,390,295,178,980,690,490,664,544,640,743,745,422,715,700,385,975,806,
662,419,742,366,899,535,543,104,227,135,889,976,798,590,078,623,542,050,842,
991,817,236,903,270,379,748,145,359,221,099,056,155,121,714,751,315,924,516,
492,234,064,133,544,649,891,950,033,162,783,787,670,514,116,331,548,492,418,
958,143,431,564,340,103,052,899,619,836,705,691,960,785,400,436,761,818,689,
542,995,749,706,375,473,875,490,456,881,786,232,471,107,044,853,830,381,721,
583,895,264,070,603,327,961,200,495,425,240,204,341,312,515,849,027,848,212,
203,646,840,452,550,047,405,851,044,755,975,606,996,122,230,682,115,201,698,
942,298,697,575,612,516,319,027,983,085,985,219,115,618,172,872,128,097,271,
519,698,960,087,079,166,897,292,337,871,530,200,308,826,175,947,223,942,909,
017,949,063,247,307,106,281,208,675,756,838,144,403,320,226,083,517,813,976,
458,807,516,450,277,056,488,716,448,504,632,432,568,828,481,353,788,322,165,
541,572,580,970,359,782,697,384,855,797,555,119,436,259,648,999,068,101,081,
757,784,196,336,165,409,548,902,280,740,601,518,238,295,658,525,601,568,954,
678,626,569,876,781,116,825,310,007,521,428,860,589,776,053,326,896,142,784,
623,008,887,366,921,232,701,808,318,400,171,596,344,688,591,878,857,299,082,
908,579,060,789,491,002,024,853,510,464,446,288,137,860,333,618,669,763,767,
812,201,372,016,263,332,907,790,434,079,966,733,348,296,844,372,188,042,252,
236,054,739,332,840,508,973,082,677,686,368,470,058,189,499,819,010,154,906,
326,940,324,472,193,473,745,101,117,805,836,517,416,767,570,518,082,528,343,
241,519,788,573,331,782,205,936,714,170,925,364,034,414,187,797,840,297,168,
687,424,123,972,767,974,759,411,387,564,271,928,117,672,555,833,556,797,165,
976,261,237,918,562,090,193,127,983,379,869,346,806,907,741,693,513,799,485,
257,634,145,514,156,704,001,410,361,431,442,370,856,046,831,868,787,958,768,
880,245,781,634,028,685,788,032,767,900,915,936,026,929,231,417,970,668,308,
686,597,418,055,612,667,974,400,409,379,207,524,408,921,005,154,917,201,361,
449,216,847,985,397,624,765,394,882,880,043,193,091,717,372,281,693,622,477,
223,741,320,294,238,620,717,717,485,897,247,895,481,188,183,296,829,658,308,
336,939,246,346,926,274,990,460,711,070,314,633,208,813,268,339,820,183,973,
152,924,298,488,275,583,496,277,442,687,956,661,520,376,181,436,246,861,685,
927,265,364,578,438,458,021,288,543,106,759,829,767,764,052,412,710,459,242,
301,807,412,124,389,926,800,368,269,997,453,606,615,874,906,640,144,862,909,
245,364,308,173,252,368,488,299,908,376,887,968,304,270,024,347,017,941,896,
083,668,098,627,295,351,301,297,964,984,486,170,106,270,580,698,490,801,980,
270,261,800,463,776,719,823,633,356,884,606,000,445,798,385,021,077,837,315,
990,138,412,924,544,108,245,200,330,846,542,796,394,405,301,601,658,562,927,
324,491,700,429,510,495,435,292,913,726,903,300,318,465,517,246,638,727,931,
964,202,776,726,775,883,809,072,033,850,717,597,264,216,354,325,195,933,708,
289,070,464,726,308,312,623,592,700,379,504,961,590,488,413,031,905,748,044,
690,541,814,078,842,178,112,476,637,393,820,788,835,332,037,717,083,386,392,
352,995,002,126,137,103,003,630,892,711,831,554,819,650,773,653,040,704,095,
620,511,749,807,326,051,321,558,164,102,146,289,068,418,073,148,828,265,026,
895,923,007,084,917,012,825,226,559,951,428,717,815,755,485,958,135,407,399,
755,712,012,903,128,521,883,841,564,185,294,201,946,440,600,167,155,407,656,
182,664,234,693,876,227,536,635,714,409,405,326,659,220,013,624,747,550,363,
366,553,259,608,310,318,129,174,853,154,904,568,949,033,012,486,701,830,317,
349,637,098,098,765,221,553,655,754,937,731,965,107,570,526,695,857,413,712,
385,167,493,308,480,507,984,680,717,216,725,144,038,955,735,476,735,284,267,
559,212,642,073,737,435,586,179,674,730,129,731,896,852,891,252,252,728,891,
274,230,790,686,520,224,095,423,062,321,238,242,522,605,332,151,910,264,038,
101,303,027,783,575,775,505,430,812,984,528,439,982,652,941,945,476,234,853,
252,630,695,241,885,787,828,193,642,099,706,932,006,356,322,938,154,152,793,
729,351,359,411,164,589,586,751,015,513,080,453,760,980,349,647,893,784,534,
939,580,970,172,080,620,843,000,220,948,742,022,249,607,540,603,053,147,326,
643,106,920,897,463,103,517,433,262,243,919,750,825,162,380,865,671,391,134,
111,865,643,238,717,832,620,764,339,367,540,043,909,814,766,555,084,294,309,
653,131,555,220,928,279,951,474,971,503,634,340,671,108,576,868,441,898,826,
290,398,192,887,599,545,487,900,179,704,312,781,475,095,446,490,225,742,297,
618,499,653,080,845,997,804,293,973,234,230,854,066,954,790,099,169,691,595,
585,086,699,795,259,696,431,249,628,656,661,636,546,193,541,360,612,402,575,
416,753,087,832,961,839,577,570,857,026,550,713,305,243,063,356,159,297,568,
121,620,708,486,914,272,291,512,666,891,957,600,464,094,708,566,538,936,839,
237,072,388,469,204,098,721,720,761,734,033,864,966,038,837,046,970,460,801,
272,792,146,211,681,270,221,928,461,966,946,486,541,243,650,202,055,706,087,
972,823,892,495,512,594,597,215,411,947,725,550,119,391,975,191,188,903,108,
520,659,253,845,220,768,498,678,480,690,811,312,990,931,371,857,808,082,360,
332,544,198,230,315,812,990,640,707,535,512,714,191,511,926,960,817,799,725,
494,942,688,104,462,209,026,137,527,031,888,228,750,194,309,113,503,039,158,
199,333,595,815,578,801,343,268,512,591,060,741,635,095,075,810,436,749,248,
228,058,297,706,855,235,932,834,489,793,536,674,681,896,438,423,651,410,651,
296,131,925,710,392,122,430,443,065,329,845,788,231,252,501,645,842,925,980,
655,470,924,645,333,490,305,859,200,154,907,638,667,773,319,698,710,566,731,
183,372,421,401,368,533,523,865,357,600,624,875,583,245,636,736,869,636,211,
299,178,919,057,236,176,989,967,128,224,678,483,817,633,616,760,339,368,364,
707,011,450,948,832,766,652,599,212,060,824,677,706,139,102,369,683,085,231,
788,306,183,051,176,065,264,102,491,455,954,907,032,795,365,501,457,504,535,
090,823,870,381,570,538,604,873,309,320,096,992,645,999,887,631,585,969,680,
224,282,379,004,386,031,192,797,958,713,553,976,524,424,153,405,641,715,062,
816,006,822,279,264,307,609,820,848,482,007,872,349,907,109,140,869,562,650,
250,241,580,987,623,623,324,383,665,822,302,873,909,245,748,848,807,779,425,
378,736,805,042,990,422,145,592,732,915,126,501,026,015,081,397,117,628,793,
290,329,679,633,069,159,266,762,303,422,091,989,010,342,493,303,357,632,687,
941,065,796,481,771,733,374,332,726,478,431,176,380,865,323,812,767,598,904,
605,441,383,131,324,058,813,745,166,719,099,361,320,605,772,747,584,057,398,
902,508,564,540,202,203,884,286,902,064,725,498,909,943,910,136,507,803,728,
564,432,032,641,052,093,275,878,023,756,956,648,016,838,691,260,959,431,938,
493,497,952,639,340,948,693,381,436,178,591,566,913,391,224,296,591,839,757,
092,574,692,304,923,412,980,366,075,934,671,541,166,959,322,616,107,815,910,
193,006,779,415,798,336,851,190,182,840,483,313,296,033,882,914,254,703,340,
750,800,671,453,508,017,559,692,666,197,368,741,449,925,387,558,248,922,706,
026,047,469,575,864,818,255,084,134,027,987,133,055,130,425,970,750,464,894,
028,488,287,248,911,140,351,667,236,818,499,557,782,444,154,838,799,505,016,
834,734,531,419,339,760,524,183,418,234,564,909,186,754,974,981,754,734,715,
735,358,569,548,761,735,830,582,132,595,294,767,438,671,098,561,108,439,030,
594,549,623,502,378,148,247,402,784,931,680,213,823,030,568,801,966,271,409,
131,220,290,752,442,732,319,953,142,220,213,300,779,418,093,680,237,311,364,
399,948,689,021,160,860,145,721,655,608,548,081,200,473,955,179,463,625,496,
863,920,548,645,037,187,417,127,812,787,921,993,780,674,844,382,932,647,462,
433,211,513,697,429,182,500,714,084,180,645,638,969,076,139,743,986,665,468,
257,510,475,631,291,364,104,264,941,931,564,374,980,484,850,155,707,903,790,
369,909,550,857,454,894,812,524,297,728,725,515,067,790,252,128,137,431,924,
682,125,511,924,888,250,207,940,689,611,742,287,809,291,116,430,468,301,532,
156,013,196,796,965,170,434,597,297,814,768,633,169,522,095,463,998,325,399,
865,664,309,216,122,415,928,594,423,293,602,645,325,581,256,682,316,494,660,
239,623,709,641,716,703,091,619,001,736,985,821,229,722,974,496,253,701,303,
294,366,186,252,825,954,707,224,830,173,801,402,994,135,197,453,794,678,270,
328,971,606,046,023,808,780,994,961,801,900,788,824,480,989,224,016,656,728,
946,340,037,730,182,219,812,906,910,474,481,689,032,255,376,981,443,920,762,
553,765,111,375,345,511,145,277,694,429,312,959,591,600,883,338,788,274,149,
843,859,205,167,442,433,375,606,255,505,142,586,605,945,181,517,724,800,795,
278,665,520,603,287,025,916,005,835,142,058,342,848,033,263,452,966,308,024,
396,245,870,213,670,249,268,114,061,168,023,456,912,475,337,507,367,081,165,
799,108,030,086,365,380,421,088,873,723,516,878,537,688,056,053,517,618,362,
029,051,434,797,577,234,699,292,137,924,841,156,483,635,854,958,247,441,357,
817,342,794,773,600,037,974,711,891,667,303,897,716,361,998,102,864,315,002,
581,667,070,992,366,161,343,037,206,270,720,627,524,237,498,770,362,961,491,
721,775,028,085,566,629,534,970,710,560,756,892,818,772,288,732,020,883,112,
997,409,506,861,153,175,596,989,189,775,890,978,207,685,388,633,895,342,001,
008,395,567,660,220,751,802,569,037,825,369,850,226,309,928,884,436,736,262,
009,512,574,724,911,873,165,763,038,140,482,071,812,079,085,035,852,967,686,
332,149,640,340,992,190,322,590,093,120,469,092,499,117,684,647,360,506,846,
426,214,819,528,778,883,894,358,391,307,703,938,637,466,980,638,451,686,053,
956,256,296,424,659,306,303,251,999,605,978,198,191,626,322,714,670,270,237,
781,016,667,276,846,650,284,469,718,812,077,811,858,977,599,569,232,644,116,
649,054,351,817,667,814,637,993,840,335,411,549,378,156,645,175,161,232,354,
202,816,456,459,289,890,857,020,388,867,258,888,062,494,185,436,906,796,178,
732,962,364,415,742,333,895,088,426,709,699,524,222,932,647,372,226,649,393,
517,488,285,699,433,244,894,282,349,531,418,944,504,791,375,988,771,368,378,
278,016,088,734,483,495,360,320,934,736,986,579,005,231,030,102,785,381,752,
523,225,932,456,214,996,966,373,163,617,548,543,200,210,780,398,288,755,046,
745,247,375,542,407,877,066,645,529,397,640,952,735,031,480,984,482,005,557,
444,793,551,806,108,473,528,546,843,125,508,959,406,995,953,799,616,646,199,
774,003,356,595,673,660,769,014,729,437,832,848,047,997,522,948,080,865,950,
273,785,602,484,375,320,496,349,416,290,307,903,654,933,541,114,042,013,412,
613,330,337,184,605,964,930,388,887,138,984,082,816,971,313,071,099,108,561,
846,292,388,361,371,092,130,668,658,398,907,359,010,031,656,649,732,395,351,
669,504,564,552,961,431,188,930,556,024,213,278,672,515,092,581,100,845,174,
838,211,984,344,513,309,541,463,577,063,618,541,775,788,183,551,800,530,529,
307,350,988,837,568,567,805,772,942,213,148,346,787,946,963,982,672,465,403,
738,919,211,631,150,148,816,643,674,865,266,272,705,763,777,281,485,916,544,
258,702,557,668,569,829,653,666,615,633,315,432,797,353,107,841,997,464,159,
138,613,643,403,541,515,220,607,350,523,356,208,218,815,838,078,778,335,661,
732,825,751,457,956,066,151,109,355,741,765,162,250,902,285,580,736,214,543,
351,337,693,620,615,545,036,989,879,866,392,079,302,824,239,017,068,647,418,
065,048,459,177,343,986,073,279,770,926,682,302,933,967,357,103,383,940,358,
199,610,569,141,373,380,270,251,923,045,680,456,622,920,633,709,420,800,991,
954,097,919,916,417,618,053,275,410,015,804,674,597,466,964,943,223,876,637,
802,405,995,887,541,128,131,695,905,837,633,408,876,373,246,268,729,596,487,
597,554,474,115,663,304,727,177,501,877,664,562,423,523,395,076,056,828,428,
754,332,963,675,350,280,399,922,854,040,151,635,547,951,494,527,697,719,223,
220,822,987,490,170,989,194,234,682,982,891,339,509,154,949,254,052,019,459,
382,800,508,165,493,820,904,114,551,502,996,926,586,171,836,063,670,498,907,
289,450,920,023,612,578,536,413,880,986,493,683,732,259,174,412,255,103,614,
807,470,954,097,234,358,500,926,496,676,502,535,263,544,995,291,372,733,150,
110,430,284,800,819,342,445,599,384,255,865,061,616,847,657,393,061,209,278,
867,436,456,672,872,015,209,393,514,711,570,705,574,168,128,325,102,099,798,
135,186,291,598,170,622,908,091,027,129,797,541,979,324,414,332,004,867,762,
882,395,466,641,895,743,797,965,501,300,454,264,935,967,017,147,198,156,782,
333,221,959,173,131,497,133,579,769,287,417,416,027,933,076,832,137,015,178,
893,245,661,277,631,581,868,479,285,348,477,082,753,265,463,069,637,395,195,
591,306,050,775,818,528,553,985,880,991,436,730,066,348,138,678,864,629,813,
576,947,963,719,590,360,310,968,133,707,940,581,932,605,606,735,033,193,613,
476,537,390,495,004,268,305,005,686,194,691,879,059,003,676,884,474,959,202,
978,728,209,760,006,540,349,297,456,702,472,421,043,225,854,802,709,294,385,
991,680,126,347,977,507,224,078,559,534,441,587,156,217,300,623,997,122,341,
204,730,468,280,401,989,579,169,106,662,341,033,966,301,080,372,088,991,483,
031,938,819,029,763,248,125,019,473,967,982,443,367,021,162,631,403,476,184,
055,168,839,557,789,883,403,925,474,072,289,417,233,914,779,413,021,292,075,
313,924,729,575,902,738,395,749,183,688,252,464,555,164,732,520,394,112,973,
232,776,427,602,783,470,212,177,766,604,037,465,489,767,873,935,428,714,016,
891,002,009,962,468,868,298,227,542,325,914,194,439,655,050,812,623,075,565,
059,316,611,118,283,590,444,235,704,814,939,993,992,105,105,948,206,928,542,
381,751,307,057,283,937,485,233,213,901,238,811,287,696,247,159,252,548,655,
950,314,891,711,381,417,707,133,540,131,947,359,918,064,198,604,572,743,209,
995,442,596,120,878,254,153,393,933,261,546,394,973,526,477,804,879,082,911,
012,295,625,389,261,110,452,228,489,325,788,619,294,028,855,716,821,211,614,
118,588,529,567,921,887,733,893,249,595,146,681,491,535,082,062,627,976,334,
339,613,293,715,834,065,761,446,506,573,406,551,139,359,767,537,993,225,447,
597,482,921,253,531,502,429,243,668,216,886,284,083,722,222,710,993,675,927,
844,879,309,849,452,873,211,033,032,598,438,446,054,530,762,831,605,656,564,
861,537,629,809,806,417,786,912,740,109,901,358,397,496,694,062,103,253,230,
080,122,657,832,959,451,110,088,559,713,332,194,244,946,012,962,076,453,355,
845,057,354,076,290,621,183,041,036,381,069,775,368,473,906,009,064,820,335,
041,374,518,602,201,349,961,126,330,601,386,920,025,430,540,312,241,468,606,
776,996,535,222,729,997,998,019,462,691,462,285,422,186,389,963,569,152,439,
588,671,600,496,551,820,544,632,434,863,813,862,292,284,175,483,868,412,896,
442,157,684,585,819,188,174,002,817,806,781,635,370,884,591,543,632,079,990,
846,535,514,853,588,119,176,641,609,906,786,571,451,831,150,488,398,422,198,
592,833,730,629,968,236,071,672,287,810,885,127,886,287,152,519,174,909,634,
428,929,260,895,171,134,149,439,213,301,020,673,340,201,068,221,384,012,790,
693,761,449,590,330,547,809,001,372,578,066,749,071,195,107,528,303,227,635,
363,369,260,675,520,310,950,518,683,711,432,054,157,668,449,129,155,090,889,
438,726,368,458,911,474,769,437,737,638,214,228,021,890,417,969,722,907,309,
265,106,355,252,598,499,731,984,607,255,239,839,703,260,417,149,483,388,537,
844,320,465,303,052,418,010,998,235,477,115,171,909,436,883,885,468,143,726,
797,568,089,574,600,215,999,427,735,530,846,335,684,923,050,441,010,706,736,
571,851,570,861,637,692,323,673,865,400,434,614,502,396,119,931,316,373,697,
542,539,342,887,340,970,085,959,067,292,419,477,648,573,232,043,975,695,421,
257,420,056,256,536,789,197,030,298,099,526,683,254,650,146,042,174,418,631,
892,558,493,896,121,270,048,272,118,078,727,244,872,520,376,706,448,916,291,
858,869,194,349,782,764,303,370,815,085,533,385,021,437,349,818,786,917,440,
785,860,931,835,248,082,799,825,848,645,337,993,114,179,454,447,335,754,973,
319,127,138,333,897,336,436,808,460,767,879,626,659,680,883,436,456,910,815,
583,973,648,090,815,061,690,380,452,890,333,439,687,215,226,960,270,680,993,
082,820,227,978,398,758,284,072,509,185,830,013,320,454,981,684,453,028,062,
118,819,899,647,791,283,042,161,727,851,913,182,309,242,526,596,106,696,914,
378,582,154,498,275,505,776,914,337,120,712,582,071,290,953,096,796,659,766,
408,023,900,875,475,976,210,776,396,661,893,018,678,668,830,675,292,586,439,
268,869,857,042,847,926,482,377,592,261,040,997,719,329,137,263,796,040,648,
167,293,159,088,170,828,375,443,929,583,173,812,120,917,334,816,118,528,425,
541,617,156,418,868,715,367,897,049,647,632,803,328,933,641,927,729,960,837,
653,526,052,091,631,637,237,965,636,674,298,208,435,004,034,948,113,055,482,
121,183,651,753,777,999,983,722,175,015,504,589,103,553,560,132,050,832,703,
229,326,678,643,639,349,198,819,474,436,778,608,384,977,134,214,768,160,851,
536,044,819,867,384,199,010,662,494,805,452,146,249,140,161,979,504,521,902,
985,956,837,081,596,258,911,374,584,338,575,358,685,609,909,362,127,089,375,
483,754,131,064,820,507,937,908,009,175,333,833,093,035,645,923,177,680,212,
777,656,458,504,858,773,060,441,360,326,059,719,540,619,428,754,358,835,021,
176,123,367,723,281,453,675,186,394,476,941,853,747,146,046,399,416,933,165,
232,027,769,583,106,107,399,712,893,820,900,813,997,063,728,200,073,980,091,
524,977,754,909,878,799,957,652,514,377,126,655,081,986,926,935,076,566,688,
837,464,531,652,587,135,420,755,715,074,162,236,374,250,534,155,515,685,944,
738,281,639,483,421,361,577,480,984,452,438,951,300,015,841,097,623,354,093,
395,694,367,213,832,728,691,804,668,737,767,083,421,275,362,184,472,802,225,
381,543,646,612,783,399,798,561,705,496,229,465,581,670,787,794,209,041,982,
249,713,681,069,903,103,137,107,765,557,826,836,180,467,540,278,377,338,036,
866,419,634,526,173,249,450,392,266,305,383,255,639,074,612,195,566,574,439,
457,867,149,622,183,274,575,646,552,231,212,306,606,162,380,824,956,266,244,
392,216,592,875,707,594,310,745,417,644,047,448,196,063,677,081,976,552,036,
098,274,294,127,150,457,298,811,542,729,326,164,801,595,001,218,044,406,116,
699,917,547,575,598,269,723,298,436,003,633,281,550,837,744,292,460,832,658,
202,789,232,940,206,554,910,941,937,558,320,106,867,543,572,792,350,965,471,
834,264,703,041,798,043,129,743,174,506,604,880,804,741,257,659,795,241,089,
506,085,743,669,203,412,381,564,539,800,631,677,334,301,170,196,525,140,278,
862,249,975,709,356,123,543,668,618,650,985,403,281,583,112,538,952,082,303,
121,553,840,078,974,492,499,257,744,003,724,727,441,261,058,302,817,450,633,
498,189,758,689,233,509,813,806,318,472,617,986,166,129,056,241,507,671,308,
250,394,460,447,191,694,549,055,450,857,346,578,267,293,332,491,760,703,116,
343,403,578,716,058,380,606,564,455,374,919,479,426,740,454,067,855,781,862,
713,194,233,063,159,666,052,720,899,247,638,478,940,272,239,613,517,162,038,
114,361,406,067,093,513,617,035,197,185,670,588,014,829,977,538,293,509,318,
374,770,760,927,066,252,914,151,758,433,394,386,602,748,316,851,613,624,771,
525,285,444,694,033,077,161,037,265,517,068,962,068,397,233,819,970,389,295,
312,597,284,613,866,306,559,281,173,049,005,757,243,171,707,090,826,700,784,
239,826,734,075,226,883,129,131,831,306,016,309,588,563,674,140,884,490,324,
646,096,574,612,428,641,808,510,544,607,523,270,095,351,633,277,968,757,032,
174,537,924,804,894,437,267,813,711,888,792,891,082,090,802,358,766,435,034,
114,855,326,467,182,558,399,007,551,460,609,524,602,044,379,470,475,025,497,
695,423,034,186,985,393,076,353,760,150,631,268,280,384,730,771,265,775,579,
289,047,611,613,535,711,298,953,121,851,265,278,511,661,889,686,236,873,956,
268,258,492,088,306,157,834,427,311,189,632,662,131,539,425,722,716,243,241,
257,982,949,765,016,017,662,210,336,503,737,446,119,431,925,906,728,045,980,
608,661,335,590,964,591,608,168,181,069,699,053,047,796,948,509,819,331,641,
475,940,918,267,330,693,617,042,714,977,971,116,413,136,090,846,848,090,706,
931,211,056,316,182,432,694,065,955,842,928,585,433,169,295,910,457,698,266,
493,432,042,709,428,943,705,171,493,316,756,478,510,064,677,389,576,176,602,
885,823,738,885,202,831,565,070,148,322,915,127,517,442,217,369,900,801,629,
625,716,108,366,582,966,421,921,081,261,094,609,049,838,349,323,002,177,341,
503,848,711,591,926,147,587,127,101,636,804,321,159,687,747,027,260,596,990,
193,274,117,898,753,513,075,043,813,862,551,323,882,381,653,475,517,206,486,
724,781,850,672,072,458,556,133,707,910,146,970,420,600,353,665,822,653,547,
512,042,861,747,987,852,979,283,543,629,158,128,831,609,778,022,873,578,403,
990,624,363,228,085,916,813,923,873,611,075,449,044,460,974,509,744,996,777,
576,735,301,191,015,645,482,974,870,561,923,352,005,656,664,551,860,102,553,
409,216,515,324,968,390,971,905,075,628,520,119,072,104,482,670,573,162,466,
766,170,765,713,386,723,389,083,972,305,068,906,622,734,866,259,993,630,364,
097,962,492,139,309,212,198,034,767,711,895,194,304,556,077,983,941,642,790,
285,037,435,733,483,032,834,482,946,927,142,312,181,681,343,143,725,725,556,
485,028,614,529,777,611,293,660,248,307,269,050,581,935,065,596,719,086,053,
921,382,300,810,311,797,833,767,477,875,875,316,863,893,798,941,602,626,337,
007,335,780,996,272,053,640,472,337,624,648,463,550,576,645,939,432,692,751,
263,491,103,755,688,284,821,928,511,903,236,306,798,353,090,859,247,413,353,
181,007,786,162,263,990,228,001,437,537,190,269,362,339,780,226,088,170,708,
450,194,714,517,383,152,092,261,087,632,376,777,065,396,119,096,310,369,769,
278,406,889,660,674,105,024,289,789,937,511,365,521,668,935,111,014,290,205,
233,439,423,763,369,353,657,124,824,686,859,379,283,427,094,631,347,608,393,
729,275,575,033,990,496,253,986,467,244,436,233,363,272,663,873,022,179,878,
991,286,255,216,770,720,549,671,774,920,593,277,362,045,569,690,552,596,654,
394,904,967,507,230,762,520,520,685,004,725,169,320,771,563,415,414,880,025,
564,717,577,019,288,356,353,596,911,859,300,988,462,783,006,033,444,400,284,
405,299,095,849,587,669,118,363,446,768,990,024,500,768,281,346,106,168,908,
949,075,275,174,845,905,749,339,947,592,212,809,531,351,830,970,138,138,464,
082,316,900,374,624,518,059,193,948,229,282,916,618,096,129,275,144,282,457,
424,576,601,118,380,478,994,082,820,866,324,562,351,804,487,460,221,240,694,
447,009,014,056,777,252,659,671,661,581,788,484,555,111,336,891,872,558,977,
131,267,108,420,410,797,952,167,443,062,537,833,581,557,682,438,503,464,845,
469,443,752,795,212,566,971,779,842,786,952,615,428,470,633,684,784,727,100,
552,465,464,954,953,659,636,569,707,817,936,773,218,948,378,413,345,414,771,
089,850,720,844,477,276,597,673,149,389,729,572,259,620,944,486,515,835,511,
902,350,501,732,339,920,522,701,138,689,455,268,307,423,474,385,265,776,488,
551,208,415,419,366,870,711,502,803,678,383,487,598,226,885,274,499,566,918,
521,862,840,655,348,951,618,249,068,735,015,338,534,340,485,539,502,307,577,
309,526,031,375,602,123,344,188,956,740,628,721,589,237,176,352,169,625,420,
280,942,113,913,821,552,049,954,093,757,726,051,084,182,353,828,627,683,096,
293,587,111,569,083,012,361,834,098,503,464,221,921,934,824,042,237,399,358,
265,580,497,648,670,642,786,012,261,387,573,731,095,926,330,836,593,797,558,
124,221,454,951,749,873,004,906,370,810,885,748,308,645,503,351,638,476,989,
120,603,007,155,408,020,039,252,664,248,902,963,813,542,800,803,425,292,519,
607,266,733,798,579,174,023,060,324,790,559,405,112,187,319,320,919,309,599,
964,982,809,045,073,239,906,181,046,774,638,543,482,539,743,561,938,128,835,
624,834,591,735,240,924,017,863,028,082,874,752,977,056,586,797,568,342,288,
042,219,668,636,069,626,816,041,884,152,493,125,535,852,176,258,487,627,846,
046,500,539,464,036,962,880,729,061,880,281,541,627,067,005,325,470,899,868,
364,912,191,480,666,883,419,555,766,038,930,054,557,038,105,693,974,470,030,
186,063,989,568,119,589,960,300,896,744,922,069,565,016,673,917,616,342,088,
664,908,028,074,434,736,169,259,955,850,048,650,360,287,542,180,506,275,407,
780,586,714,255,476,058,449,711,651,248,253,056,354,436,243,987,045,137,552,
213,121,417,766,392,782,319,598,487,668,869,422,940,601,826,446,336,735,265,
301,864,633,701,497,209,248,795,627,430,644,855,783,080,215,037,759,163,898,
232,776,723,293,985,698,606,586,550,291,902,693,832,047,929,771,796,697,895,
808,084,638,865,494,525,134,248,652,834,833,172,258,098,492,727,632,579,529,
986,444,729,530,022,003,780,169,417,017,915,044,314,793,041,142,379,099,315,
387,871,673,348,681,067,287,191,067,170,142,847,409,613,572,325,773,275,833,
223,282,556,944,459,123,831,621,591,019,316,375,051,133,744,999,399,569,599,
162,503,521,834,785,112,186,511,823,804,179,896,418,617,712,653,427,473,061,
575,020,977,689,386,164,557,601,488,025,256,082,616,021,843,196,298,544,959,
572,685,486,357,190,705,848,360,078,012,475,553,923,263,598,506,509,397,969,
193,709,964,029,102,446,994,285,899,768,257,531,686,966,291,037,319,879,097,
992,769,324,819,883,522,993,223,723,680,818,815,096,482,387,114,309,852,151,
756,423,763,050,180,177,966,131,719,786,382,308,209,493,896,370,961,388,328,
474,316,667,071,599,346,922,821,440,330,936,009,746,231,818,087,608,417,790,
763,097,964,656,810,601,839,107,099,787,075,797,835,441,967,557,844,941,597,
560,443,824,930,571,291,344,404,177,054,216,912,478,907,407,377,217,289,780,
700,335,229,682,490,359,693,709,670,922,160,208,656,010,331,085,929,347,443,
359,247,767,334,814,728,387,029,273,156,835,481,799,930,891,888,686,101,867,
040,207,058,270,345,386,764,224,072,631,679,924,816,066,521,971,346,688,548,
561,680,987,709,419,962,827,554,489,733,112,755,976,982,478,903,795,368,941,
032,696,424,905,559,253,336,857,838,945,414,007,981,335,302,245,824,943,929,
724,147,846,036,744,117,986,121,111,551,279,670,523,506,614,158,149,170,919,
634,671,098,517,452,450,052,907,517,822,559,757,347,665,266,327,624,883,463,
581,962,364,184,893,511,295,454,594,207,206,164,429,881,533,303,090,661,705,
548,184,633,237,635,482,216,068,640,564,961,325,599,634,985,612,061,475,249,
277,910,694,981,984,482,208,160,306,007,260,923,850,282,874,770,821,484,943,
256,186,033,178,073,883,682,702,122,995,605,036,617,089,706,657,949,777,540,
718,389,067,539,273,413,096,995,744,793,291,461,747,655,443,360,948,009,348,
077,121,178,575,080,139,767,077,945,459,575,869,904,357,591,889,793,778,177,
562,400,060,230,770,489,259,796,248,327,751,748,417,786,183,491,788,734,177,
366,775,849,857,432,972,266,729,768,054,592,801,167,844,789,265,573,715,399,
189,181,399,141,767,162,044,858,731,528,168,655,384,035,540,986,610,170,076,
083,887,171,601,039,577,241,996,376,496,328,803,711,686,796,180,560,699,638,
578,109,353,816,445,497,509,785,049,777,071,927,235,408,712,501,577,243,268,
771,174,060,878,626,248,865,659,203,056,522,618,484,806,458,403,065,944,563,
020,520,993,166,027,004,363,107,957,567,910,919,940,070,797,187,613,761,450,
722,935,205,074,806,542,455,313,282,394,656,415,956,774,232,775,186,107,802,
015,042,129,212,919,698,844,856,628,925,291,251,027,237,513,787,852,181,383,
578,982,690,179,662,184,595,241,882,481,914,061,049,225,075,984,530,220,506,
873,718,862,631,179,029,700,785,156,387,327,467,178,176,922,010,204,218,535,
169,186,047,035,803,342,222,577,512,496,922,915,218,365,760,353,764,854,611,
032,284,155,736,675,016,916,227,058,585,388,466,801,093,783,678,561,603,357,
761,354,109,385,961,873,152,374,968,167,676,074,808,814,514,387,399,372,872,
655,096,547,659,946,503,653,289,031,095,864,503,743,276,380,293,440,910,295,
564,076,454,208,460,794,531,141,167,324,219,874,618,103,101,502,017,505,859,
811,811,305,280,087,899,450,606,500,188,183,553,573,163,622,738,782,370,309,
974,944,536,332,578,721,064,864,674,764,243,258,869,269,856,715,861,743,496,
457,237,675,097,273,414,914,017,552,621,889,907,639,948,477,608,831,331,705,
829,234,902,315,683,281,110,214,278,784,624,427,973,994,706,893,783,495,098,
170,878,645,463,583,277,872,120,325,066,355,195,783,299,038,191,391,203,752,
473,315,271,913,232,650,983,308,171,416,570,909,383,838,892,107,329,193,247,
941,127,682,985,693,368,468,315,100,493,598,379,204,691,926,429,305,283,744,
725,692,876,133,219,067,687,495,562,097,588,787,610,594,996,367,860,115,095,
857,260,246,968,615,696,961,233,201,656,188,082,851,362,386,756,060,704,539,
658,898,826,861,460,197,979,320,444,858,775,994,065,285,005,093,672,222,557,
067,078,286,143,502,444,518,386,428,566,807,211,644,122,845,467,499,646,744,
551,325,750,889,720,917,909,352,615,648,879,467,519,591,347,512,102,812,468,
962,009,518,113,471,257,832,480,694,537,653,414,530,066,089,841,366,712,784,
913,650,245,261,977,975,368,426,874,097,708,144,557,484,356,865,339,906,273,
657,133,751,887,163,155,525,476,340,320,878,002,393,488,883,822,627,549,355,
999,155,914,016,738,970,565,305,137,301,232,638,814,907,529,657,230,777,775,
427,895,582,243,900,899,191,990,742,933,453,491,295,696,661,114,789,589,292,
168,491,548,465,095,451,017,315,941,364,237,582,433,320,013,828,288,025,178,
040,108,875,142,276,876,293,100,512,466,421,317,127,850,702,327,187,893,578,
392,036,673,156,155,729,446,222,687,214,488,293,778,571,590,938,589,064,666,
580,990,930,366,719,099,886,505,718,894,729,652,219,911,238,927,860,674,315,
564,388,185,277,765,178,554,498,227,142,190,853,136,838,840,514,684,114,607,
703,406,324,720,937,499,267,240,550,450,946,934,441,465,993,673,139,107,743,
103,705,523,428,217,815,115,459,669,626,847,933,265,195,798,655,294,058,697,
407,593,252,347,981,611,620,095,251,076,396,965,086,271,202,734,429,197,887,
253,307,880,963,182,119,122,774,779,641,300,176,079,327,856,569,458,811,081,
939,657,455,341,590,291,090,868,508,821,790,463,539,138,324,998,856,881,103,
514,957,335,556,895,640,544,955,026,436,861,096,353,581,812,559,478,632,581,
700,657,300,215,516,110,875,197,396,931,498,410,132,354,446,766,886,197,487,
152,737,071,265,543,864,699,757,478,314,119,874,582,554,989,164,096,939,069,
517,458,072,666,578,303,119,045,397,624,296,536,194,686,265,388,383,304,965,
179,690,546,085,806,798,075,304,455,285,805,188,194,437,308,338,947,800,528,
606,195,717,296,317,858,581,142,979,279,748,804,239,812,708,447,189,332,499,
468,358,700,634,964,281,920,106,203,649,214,729,326,297,759,711,578,853,797,
203,205,621,722,305,963,088,095,398,715,212,956,044,876,806,558,904,822,130,
151,394,840,652,115,989,568,963,664,103,579,755,109,118,168,674,322,491,000,
527,758,491,869,566,887,229,632,817,088,886,845,040,371,820,727,820,279,078,
728,211,288,754,826,239,437,625,723,136,938,070,123,854,715,824,300,573,203,
459,304,002,459,278,168,807,090,040,755,730,809,416,102,159,741,078,854,103,
634,975,375,859,911,937,372,254,472,027,093,073,767,041,524,921,843,891,262,
983,824,771,584,109,569,036,507,103,122,263,155,871,470,285,432,584,720,404,
482,776,178,066,869,157,901,806,955,762,698,902,806,589,960,295,529,251,669,
026,232,940,696,400,551,402,904,225,010,277,959,475,547,150,238,747,563,330,
042,691,761,366,608,556,996,793,499,074,508,148,053,675,240,044,466,208,333,
698,490,019,587,437,330,497,300,688,217,009,021,828,708,477,529,263,588,558,
406,611,143,454,691,181,746,787,257,725,931,085,649,775,588,937,423,051,626,
867,700,163,385,591,682,833,078,341,965,064,918,824,338,725,513,078,232,281,
171,400,069,321,537,636,343,944,082,741,149,634,695,770,450,547,582,942,563,
754,443,811,662,712,285,004,286,238,650,165,967,667,902,774,639,369,549,260,
417,563,460,734,465,090,091,955,587,044,973,390,318,911,489,768,690,687,922,
475,425,974,556,756,746,289,802,112,856,618,740,141,027,786,531,118,454,365,
904,024,738,884,555,690,647,857,557,813,900,016,272,951,247,839,382,638,228,
477,128,301,863,423,625,810,676,535,410,318,550,894,680,163,235,166,144,640,
312,657,110,679,595,609,109,250,010,056,851,018,557,547,316,215,201,456,177,
576,992,460,401,776,894,690,995,178,964,500,755,040,027,277,976,798,599,241,
575,158,661,332,943,583,062,993,297,867,962,049,295,874,463,247,128,329,706,
555,714,710,707,167,149,812,055,205,217,131,670,097,089,277,979,946,531,752,
803,979,935,890,584,606,723,380,401,969,456,074,730,172,230,026,275,803,127,
524,297,081,397,936,714,211,310,489,921,154,129,620,668,630,728,165,242,157,
611,524,707,209,496,318,637,775,815,549,260,036,907,360,735,828,737,582,580,
018,640,527,894,811,744,283,191,381,725,544,135,597,182,151,708,087,213,265,
126,644,012,965,604,464,447,164,343,772,183,474,199,670,512,882,424,823,464,
237,420,833,711,038,260,284,420,098,536,658,483,475,751,548,327,818,210,621,
569,689,867,553,831,508,689,644,165,223,434,927,103,058,479,286,982,571,674,
192,215,222,916,976,707,845,728,480,569,449,303,898,824,082,478,989,023,225,
736,282,811,185,445,387,387,730,684,923,577,550,245,520,967,930,708,993,563,
062,544,310,289,173,924,412,754,580,490,865,552,332,923,755,035,091,843,067,
015,468,650,197,174,936,597,193,467,039,913,801,145,237,263,266,802,332,591,
668,794,971,775,134,707,727,316,657,346,500,661,038,415,305,270,267,454,015,
933,692,852,452,101,206,826,007,718,943,078,953,889,402,026,619,264,116,997,
689,223,838,599,569,349,053,124,459,924,139,174,530,884,179,567,656,067,582,
655,192,681,626,611,834,450,948,015,816,032,675,337,955,427,626,006,738,844,
128,441,073,602,392,638,871,973,315,874,880,372,129,288,240,882,564,545,269,
657,743,808,797,703,976,911,904,658,686,254,039,787,005,583,063,704,414,462,
251,975,906,385,539,003,281,832,675,518,026,459,019,524,428,986,156,693,286,
284,150,542,387,908,873,874,221,544,651,199,686,149,170,364,705,726,832,137,
473,712,340,819,680,194,872,030,950,612,658,276,693,477,553,893,049,019,769,
732,532,765,599,673,891,549,253,970,710,244,200,481,657,172,195,414,318,508,
066,257,223,783,279,633,279,377,233,771,561,772,218,415,186,143,248,026,536,
171,473,235,418,565,307,838,241,609,988,444,964,745,665,931,206,196,991,766,
408,213,899,084,523,024,556,823,962,651,676,339,682,848,513,347,551,843,663,
866,949,735,690,763,321,093,991,303,634,455,381,826,986,997,915,339,362,769,
216,798,426,572,600,155,926,198,879,094,332,635,885,802,129,615,360,427,881,
575,572,431,877,233,338,907,255,775,472,230,960,659,127,293,899,188,134,625,
084,020,849,479,105,149,252,941,010,851,961,375,881,891,898,301,703,638,126,
947,309,917,662,797,970,830,783,128,884,826,820,496,223,239,270,848,396,036,
599,398,668,475,688,550,876,043,045,590,445,376,643,726,130,360,035,153,561,
914,648,582,654,416,189,076,733,473,481,483,352,879,022,525,164,475,584,073,
942,115,912,358,749,772,070,732,802,710,457,553,963,153,819,751,055,994,896,
675,240,907,055,775,175,414,734,178,006,848,262,981,135,113,217,627,063,574,
053,629,604,003,116,650,205,325,259,140,580,585,179,989,977,097,657,657,047,
430,593,630,629,215,552,108,650,089,247,031,057,481,420,799,626,460,621,664,
983,508,541,192,382,423,895,248,056,874,063,927,348,445,015,995,415,532,118,
548,190,229,616,283,392,706,370,867,044,590,874,448,718,872,287,196,698,068,
664,192,395,143,945,601,000,893,377,914,737,833,271,148,030,815,630,550,331,
398,096,072,951,402,387,038,509,276,304,604,963,574,491,224,797,585,245,703,
662,207,409,922,452,798,784,883,817,644,363,186,986,436,475,255,139,838,625,
565,184,969,567,404,475,810,047,580,083,576,927,355,009,481,659,101,490,005,
269,679,461,778,120,804,676,334,736,931,884,107,724,541,669,583,233,449,398,
256,787,383,795,496,229,199,703,174,298,505,310,399,723,122,736,423,693,547,
887,690,184,052,655,473,546,173,027,325,692,706,979,326,575,633,547,950,080,
491,908,996,594,419,961,882,353,149,466,843,400,067,184,015,296,504,198,745,
227,813,081,044,754,250,020,448,053,513,152,461,300,887,351,897,549,961,341,
897,983,729,281,815,991,896,554,585,967,558,222,837,273,587,832,742,155,983,
918,313,002,189,206,098,354,305,336,115,759,339,034,961,353,686,514,097,676,
785,949,562,423,246,228,683,363,434,260,434,248,675,498,780,745,762,510,803,
747,064,964,942,392,641,888,476,205,354,819,877,076,221,370,129,403,376,023,
844,118,848,523,986,700,088,401,956,448,154,634,536,757,282,008,191,473,118,
086,564,634,823,535,003,285,493,659,602,490,818,965,127,936,161,421,743,933,
114,164,251,902,271,871,857,941,710,020,131,999,919,141,211,988,698,318,627,
829,997,084,724,113,867,205,462,209,436,032,912,658,977,558,882,973,535,673,
157,993,944,513,104,506,712,163,172,252,318,181,276,330,547,092,914,228,016,
846,574,596,931,738,885,862,519,013,423,183,757,909,207,748,613,658,706,958,
826,466,623,561,667,379,764,876,225,030,553,607,683,621,799,321,159,157,219,
133,087,977,087,997,455,507,389,928,372,951,388,336,771,868,214,837,535,490,
453,086,728,692,222,665,034,976,477,642,930,223,074,601,758,939,782,994,720,
583,384,678,259,639,885,263,197,664,309,974,488,987,743,334,426,290,319,901,
537,561,293,684,457,057,747,176,567,795,614,115,933,593,515,231,839,241,337,
547,715,191,926,037,382,660,603,062,974,267,406,754,431,528,951,609,447,540,
237,596,025,769,746,709,463,273,734,790,845,462,872,702,788,632,677,758,639,
563,149,006,034,662,339,413,667,259,110,711,771,179,300,889,286,937,891,295,
097,640,921,883,335,259,257,254,614,129,732,775,884,168,853,468,123,152,144,
313,571,095,283,499,479,569,946,645,871,336,884,096,891,793,667,914,378,999,
370,051,767,758,500,766,388,156,901,761,532,461,572,478,629,463,036,718,562,
933,283,848,651,993,152,250,853,771,016,555,983,877,976,485,782,788,208,987,
143,506,777,330,693,837,441,820,597,603,848,018,790,960,403,871,705,281,021,
289,373,406,821,246,029,827,569,939,992,852,643,056,635,943,375,516,027,192,
991,133,579,742,250,493,341,808,238,257,444,388,180,266,144,309,274,903,505,
499,487,430,112,824,751,203,670,069,735,027,973,160,748,324,339,850,095,646,
940,140,156,769,123,905,721,645,641,346,937,074,027,196,096,201,097,509,600,
989,520,959,830,237,167,154,799,098,552,972,261,628,224,492,747,330,175,037,
317,951,048,024,328,981,941,757,476,472,509,244,787,673,979,968,517,181,494,
696,651,935,839,967,546,639,572,648,235,542,311,149,063,677,760,886,705,798,
746,923,521,089,205,456,572,056,704,060,642,964,319,560,784,343,128,878,674,
314,192,717,034,594,998,197,005,685,644,696,465,934,596,943,398,324,602,583,
992,593,780,267,634,930,082,505,444,363,200,347,967,504,506,815,604,607,125,
023,996,375,430,699,611,383,493,905,125,949,284,345,002,520,452,522,862,989,
723,166,435,564,910,877,811,735,702,812,321,694,489,495,941,409,367,744,663,
538,455,559,263,677,770,907,145,887,997,445,637,852,458,727,792,191,077,639,
650,923,855,729,993,041,707,720,611,036,574,300,698,411,283,868,038,088,097,
056,629,989,728,192,887,771,970,298,179,859,651,158,516,192,485,295,225,255,
327,449,504,889,107,512,391,420,213,956,812,684,758,926,654,021,326,020,406,
364,429,248,816,693,872,343,662,539,725,083,161,518,700,251,104,932,973,284,
808,024,580,077,897,551,469,117,240,175,197,774,062,920,413,586,452,758,126,
170,618,442,353,281,752,867,721,138,463,738,050,697,209,602,136,637,439,313,
701,695,473,534,481,611,775,635,176,232,362,123,993,696,735,457,025,825,956,
999,836,306,935,006,521,292,386,671,160,811,348,460,254,387,972,893,837,574,
223,196,573,774,524,037,477,183,542,380,512,264,126,318,239,329,676,195,759,
513,140,741,422,905,285,244,949,951,704,418,571,581,896,704,236,019,777,330,
217,444,153,081,746,817,322,571,905,575,831,376,653,052,358,259,141,595,952,
817,961,260,284,300,593,675,669,110,509,810,479,092,777,576,151,650,423,262,
224,741,904,316,437,260,327,682,532,804,903,468,492,389,550,618,752,521,080,
698,269,056,790,306,829,156,730,011,951,807,216,729,779,523,937,113,025,757,
169,667,690,153,087,788,911,446,071,136,270,719,828,402,879,491,616,851,875,
084,864,193,272,639,985,247,374,013,646,770,778,239,410,705,288,943,005,277,
570,278,296,073,040,336,404,245,695,157,219,070,826,739,971,694,287,942,517,
500,588,190,556,050,434,754,045,744,203,307,373,934,246,463,736,644,842,276,
209,133,316,712,964,707,435,164,509,015,280,262,646,896,706,901,985,947,952,
894,845,742,478,612,166,040,253,816,966,284,601,384,389,351,167,125,343,651,
203,489,155,609,280,849,644,881,818,562,300,718,632,258,720,448,382,964,615,
101,683,246,233,449,637,486,565,334,685,607,282,596,508,628,508,738,213,489,
034,525,468,544,557,837,374,852,936,493,164,383,210,873,592,043,932,626,558,
669,048,782,508,330,715,720,927,073,032,658,015,000,172,389,806,816,897,202,
391,148,948,277,411,096,255,216,656,858,852,861,603,432,453,633,932,650,413,
668,444,461,992,450,584,610,447,216,999,008,540,434,155,211,372,496,943,431,
546,895,755,928,200,761,235,070,353,265,262,525,612,446,036,790,402,964,524,
326,005,293,312,247,578,625,167,013,855,477,223,112,932,885,218,301,263,089,
173,994,216,819,699,573,672,684,922,795,188,823,901,958,685,147,239,707,092,
646,048,992,042,442,682,970,601,433,581,466,680,787,804,421,914,982,467,998,
840,509,080,226,062,650,896,648,508,704,810,059,285,011,077,076,268,379,257,
942,594,030,533,264,717,320,425,471,121,800,403,489,890,938,586,576,538,958,
784,270,197,916,324,095,767,276,638,206,999,447,541,809,908,769,241,577,180,
255,219,527,513,077,351,414,493,824,106,673,653,656,091,394,419,592,320,538,
075,008,534,991,618,079,891,074,809,435,992,076,792,717,280,194,496,010,437,
959,542,302,470,890,294,296,840,893,125,579,032,614,832,122,827,029,829,238,
612,611,048,865,976,894,184,046,543,322,330,822,128,436,747,016,616,379,108,
131,559,589,748,582,996,959,493,493,617,463,519,277,745,835,745,604,630,529,
783,171,860,079,270,714,823,748,855,925,910,150,807,565,201,688,074,245,672,
846,651,962,063,338,561,949,649,930,563,853,795,578,476,122,412,440,897,189,
955,452,655,130,206,077,537,889,978,467,776,104,731,076,591,660,101,612,041,
788,516,057,048,803,116,357,805,510,499,433,910,990,320,870,014,210,215,284,
742,905,985,054,788,972,549,647,462,306,116,693,280,578,946,142,537,164,771,
304,331,765,343,049,797,010,441,777,900,687,350,908,527,523,051,671,305,878,
596,152,509,237,572,406,832,376,731,355,365,468,476,488,244,753,644,513,928,
340,779,899,457,359,257,749,163,163,588,774,801,404,486,692,625,596,974,204,
025,675,694,474,040,035,858,680,470,055,576,707,034,040,851,260,505,386,579,
387,880,967,109,280,830,893,760,133,029,448,937,753,689,230,907,510,837,141,
774,890,023,073,795,180,046,129,554,172,521,118,318,451,653,572,772,034,794,
540,472,080,015,370,428,907,025,519,084,279,343,121,876,268,873,048,759,812,
286,844,053,617,733,084,233,595,193,172,067,848,929,931,014,849,035,864,456,
591,738,018,683,542,645,910,061,855,402,527,775,405,495,516,079,554,482,284,
182,269,804,095,952,995,641,221,686,252,504,120,546,864,239,224,792,702,248,
582,139,934,111,818,728,183,900,130,748,849,892,671,776,181,995,470,067,546,
413,171,831,183,683,212,998,381,147,983,512,688,780,616,719,257,647,789,834,
011,225,168,397,681,202,642,039,084,713,523,852,285,089,894,049,638,109,230,
044,580,901,308,789,802,910,828,774,073,297,055,774,191,971,974,471,740,643,
216,050,408,319,331,575,356,082,513,217,976,660,302,635,300,748,389,704,515,
546,613,685,632,950,678,999,557,143,074,305,942,117,869,230,472,553,407,056,
613,145,977,543,705,914,155,387,881,622,977,169,957,152,190,509,150,708,518,
046,837,734,600,348,351,780,421,960,409,330,490,185,818,401,657,958,097,491,
202,140,253,322,168,161,817,070,608,677,071,943,594,155,421,021,274,152,810,
939,488,143,388,528,603,324,598,515,338,296,270,735,222,777,470,740,001,524,
672,044,980,145,277,955,620,101,338,152,267,999,663,452,421,955,277,177,335,
750,647,721,336,493,333,416,980,571,587,572,188,469,742,291,873,939,996,042,
378,126,754,066,219,340,110,287,822,831,029,971,097,731,170,369,729,821,999,
754,567,276,048,124,437,754,396,739,990,399,579,751,892,595,178,034,822,163,
959,730,950,399,216,162,349,456,243,333,019,428,929,680,208,588,704,763,439,
090,559,554,987,998,453,640,473,006,713,341,984,255,978,200,976,401,993,341,
361,079,861,709,666,991,732,867,499,484,806,341,097,012,982,765,303,129,631,
973,259,346,107,709,676,333,614,205,629,259,490,169,062,349,641,664,880,925,
113,901,905,647,249,903,804,110,375,428,887,933,931,643,639,831,286,606,582,
190,772,191,952,964,505,936,341,818,363,084,181,684,345,159,508,603,606,066,
057,996,700,056,257,039,327,235,655,371,566,285,491,551,427,722,030,150,050,
067,792,356,594,723,529,508,395,406,800,165,497,880,850,997,353,526,669,186,
091,692,667,346,740,884,437,533,521,166,493,642,634,356,279,173,265,670,236,
261,680,002,447,457,838,377,891,949,621,570,717,271,862,348,407,793,161,888,
193,682,729,783,830,539,180,098,652,008,819,440,766,082,306,638,789,391,333,
451,000,042,023,010,989,328,465,653,604,751,019,391,873,127,600,814,940,234,
994,457,158,613,684,107,958,682,435,304,807,382,766,299,191,753,794,901,757,
364,163,955,593,355,456,255,420,027,619,472,684,731,825,946,201,221,277,401,
873,328,743,246,173,428,435,841,068,410,658,571,100,616,209,320,276,791,741,
447,778,518,213,685,685,293,569,108,829,886,550,886,539,590,445,350,935,584,
841,906,353,678,587,937,733,361,586,026,824,817,741,469,241,802,671,992,120,
755,591,875,488,964,195,025,260,969,000,685,035,622,090,918,251,639,435,495,
488,370,131,253,525,590,545,860,851,383,312,575,820,506,289,253,788,166,361,
195,922,267,726,418,332,461,607,120,475,583,511,836,461,125,182,967,126,698,
030,407,824,609,912,518,882,247,687,799,877,413,213,222,808,710,133,351,169,
229,451,218,141,668,262,001,081,064,371,402,092,009,702,592,979,194,875,423,
203,783,825,351,787,602,165,739,240,852,958,400,911,678,981,782,684,801,465,
575,300,058,243,750,000,138,463,918,131,804,517,281,908,808,459,185,561,507,
266,613,279,707,533,489,357,966,965,374,882,995,911,870,766,472,374,520,799,
214,258,647,443,384,832,350,738,513,690,847,811,952,652,838,794,756,665,956,
281,994,114,110,773,047,818,875,431,472,336,056,239,816,980,610,777,820,780,
534,661,025,054,833,014,151,570,820,486,895,888,049,929,709,104,880,299,278,
301,107,766,398,287,393,424,025,211,864,175,231,651,425,189,905,280,564,938,
086,396,176,993,101,308,544,939,337,372,860,657,845,815,508,408,316,371,733,
478,604,195,311,701,648,089,819,967,365,048,479,642,984,468,399,245,688,728,
899,904,891,024,486,051,084,446,988,885,231,386,504,227,618,433,058,606,426,
925,321,134,280,465,785,691,902,737,539,950,039,459,486,846,265,436,124,622,
967,546,540,934,609,150,029,546,027,484,900,031,905,381,488,339,373,317,450,
954,471,849,712,478,496,708,853,831,007,192,609,093,745,129,596,133,811,434,
828,341,431,095,276,523,540,710,176,929,384,759,057,583,628,067,699,380,325,
954,634,739,013,122,097,404,881,150,789,343,468,021,209,048,873,624,762,142,
063,009,034,826,073,648,857,361,445,426,360,322,833,992,562,574,221,197,573,
260,925,557,647,105,312,448,903,921,173,792,410,877,756,377,907,150,802,580,
299,215,315,148,561,180,154,323,646,043,978,068,510,673,286,616,742,962,267,
394,829,699,232,621,466,073,155,831,179,579,537,961,758,837,716,722,890,748,
576,079,795,100,953,826,054,120,418,171,538,556,920,371,175,437,511,620,944,
830,642,820,538,603,079,411,996,188,502,463,004,024,762,757,604,639,915,635,
436,447,579,243,242,819,603,276,376,307,573,186,963,476,674,244,315,313,463,
438,805,239,479,840,880,906,056,701,886,815,119,944,285,410,114,301,775,702,
240,847,253,896,992,663,001,425,430,632,359,426,759,376,902,990,993,020,387,
045,243,579,407,573,248,271,095,129,080,797,242,997,420,258,438,487,824,687,
801,761,092,435,116,348,688,369,275,449,650,018,620,168,307,787,465,862,219,
159,748,197,227,157,843,343,765,984,473,311,359,964,827,257,417,127,322,089,
220,676,093,121,993,512,912,459,163,849,798,913,398,028,097,751,382,265,680,
621,661,869,442,985,496,844,724,087,891,562,214,574,002,724,106,995,586,634,
777,257,872,803,806,253,557,907,177,936,139,221,244,744,917,004,174,349,261,
407,533,247,556,373,301,937,435,174,412,435,017,355,897,941,054,844,570,242,
066,950,453,280,762,079,602,391,326,696,189,632,014,915,463,608,978,640,153,
345,163,181,617,844,108,175,897,122,951,286,426,730,661,259,153,308,859,909,
840,795,417,571,498,619,137,750,631,508,676,256,786,751,369,602,968,522,333,
015,605,620,781,078,933,555,251,189,224,946,035,186,793,595,725,779,785,870,
031,211,703,911,305,195,982,259,589,236,385,338,447,464,547,433,371,184,712,
590,991,979,476,460,493,878,264,643,063,437,221,958,056,409,630,360,461,338,
180,738,015,157,516,608,803,550,991,515,953,978,772,223,285,700,182,964,524,
367,638,522,805,796,544,961,724,469,886,981,285,990,413,596,083,028,194,184,
864,172,439,444,249,077,984,641,705,958,177,828,161,529,319,381,803,110,755,
686,786,418,274,976,362,857,234,468,466,559,481,162,268,950,339,597,736,273,
714,644,452,589,512,306,675,369,990,637,572,675,365,903,398,534,082,294,147,
311,636,705,561,471,458,363,756,309,413,008,920,056,829,839,952,882,827,949,
691,167,232,814,717,106,976,313,948,545,564,226,278,712,444,594,507,304,120,
395,890,597,174,937,020,063,995,579,963,614,592,337,157,370,200,395,076,490,
665,423,324,199,713,919,195,922,402,952,812,016,920,944,689,658,364,662,258,
608,114,650,340,269,045,066,115,462,674,819,907,541,572,025,288,558,757,702,
369,868,238,515,995,269,465,864,605,897,010,608,312,478,899,643,410,189,588,
946,064,694,498,136,774,003,859,652,027,184,115,259,849,889,064,331,823,446,
767,397,314,025,468,026,489,236,177,209,839,705,589,347,048,734,869,269,291,
072,662,935,041,919,117,476,924,409,525,545,370,332,264,728,131,628,007,690,
878,128,645,591,107,951,880,787,343,874,004,436,676,687,268,183,765,619,987,
292,232,018,758,289,479,344,248,081,654,151,766,532,306,930,579,921,303,679,
757,152,333,510,137,196,872,826,695,233,998,576,049,454,821,486,793,753,845,
131,978,005,295,660,453,621,546,032,064,023,970,875,624,485,620,072,442,180,
999,180,792,460,600,828,974,168,421,081,934,351,381,495,933,119,263,860,421,
605,721,526,218,067,605,437,665,115,678,863,210,374,141,070,310,180,425,241,
173,010,069,650,736,231,158,785,137,982,673,515,122,768,285,815,751,514,885,
885,497,532,564,166,520,595,074,073,925,324,755,538,013,169,958,752,865,928,
382,586,315,121,561,087,881,718,926,652,722,506,058,842,951,148,387,335,178,
296,262,888,005,543,434,793,760,221,605,451,392,457,211,811,351,393,423,206,
833,742,247,690,931,679,372,974,924,167,497,719,884,284,676,399,615,676,667,
077,194,479,578,590,785,216,929,061,568,057,918,616,579,234,659,612,460,802,
312,317,467,994,059,326,310,350,096,263,284,328,568,977,717,294,619,398,222,
705,391,366,100,975,150,254,003,888,420,972,764,463,101,072,373,598,005,271,
133,890,211,666,453,854,920,641,030,543,569,995,046,834,033,436,616,149,295,
867,215,768,748,680,875,200,712,493,568,449,406,756,632,392,125,117,812,026,
708,024,102,342,535,415,774,127,547,998,384,549,558,657,666,537,978,298,786,
406,074,576,568,075,610,613,849,378,464,951,505,362,463,174,393,718,060,134,
049,602,180,406,096,064,058,982,637,973,763,486,155,881,443,047,261,645,053,
672,319,380,136,597,306,333,299,705,067,512,954,339,296,461,292,677,741,783,
035,724,879,705,468,964,107,663,263,227,603,709,354,116,175,729,991,435,785,
078,131,938,506,977,915,029,661,726,532,052,312,422,980,458,528,744,676,699,
385,256,576,902,561,418,254,456,204,366,014,082,236,873,985,404,004,120,706,
590,709,019,924,198,281,851,423,958,992,470,730,665,600,189,994,668,578,349,
433,519,797,888,142,545,853,888,917,869,047,701,163,712,224,107,586,593,799,
079,090,143,673,857,409,316,763,142,946,316,191,158,234,485,869,376,211,922,
801,040,526,161,448,120,547,338,848,335,032,003,088,161,105,058,396,968,554,
306,477,697,053,808,801,844,499,607,704,476,397,744,402,835,064,895,031,971,
763,991,695,194,344,469,924,150,867,772,594,321,310,368,637,751,447,601,780,
619,026,208,166,848,091,339,070,806,564,583,996,632,998,949,505,095,807,554,
092,264,713,922,038,696,340,361,526,227,482,107,672,814,748,546,254,260,464,
681,762,861,493,134,663,934,837,300,870,403,832,705,546,840,834,245,642,184,
695,461,436,695,792,851,451,999,953,699,250,893,750,857,674,536,690,977,771,
352,170,652,403,985,629,509,397,799,112,298,498,120,009,336,204,082,488,430,
044,117,200,496,611,261,992,503,272,815,619,873,916,646,610,732,604,617,409,
365,238,066,294,078,335,734,748,057,681,308,793,436,541,316,171,233,076,390,
493,103,813,253,739,524,838,921,222,066,591,201,510,120,146,316,541,044,936,
771,312,268,875,098,137,359,180,509,126,693,687,016,528,738,426,177,092,081,
600,959,599,669,524,089,794,289,520,125,397,087,391,511,350,657,564,816,218,
037,316,803,455,980,670,346,141,200,928,629,771,981,354,321,115,565,246,862,
277,559,833,644,817,073,115,160,091,314,248,426,633,162,122,611,157,846,862,
223,064,506,633,987,581,951,842,401,067,374,803,881,264,675,252,636,197,367,
994,248,953,696,541,316,691,793,574,492,718,042,582,281,372,288,669,643,534,
450,261,124,196,785,308,980,844,550,018,210,756,542,870,438,469,871,542,789,
062,106,469,862,060,967,502,958,292,210,758,648,982,355,347,933,737,012,746,
921,266,206,694,266,828,860,342,288,066,897,727,851,073,542,388,125,597,497,
599,207,022,793,965,142,989,275,940,476,105,065,286,033,530,964,605,683,921,
080,552,150,142,497,760,375,404,341,071,406,251,901,685,462,153,662,896,057,
539,449,019,413,564,814,214,258,527,580,613,007,942,166,935,311,916,869,764,
281,472,905,904,781,129,076,872,699,087,554,917,894,552,706,806,721,965,535,
467,700,868,740,628,168,377,357,807,037,196,651,003,562,434,923,220,055,401,
703,302,903,191,822,735,768,820,926,228,463,599,146,328,261,286,820,755,867,
461,709,756,199,292,366,647,740,913,790,581,765,111,832,003,213,712,553,913,
497,038,888,826,165,701,132,122,393,519,557,291,481,908,243,665,807,672,161,
362,359,909,497,590,708,977,813,316,253,833,985,185,362,879,140,656,949,070,
747,765,448,138,439,144,117,456,622,451,941,547,550,865,278,309,077,118,504,
819,180,531,021,893,091,309,778,727,044,916,978,926,485,978,727,203,441,350,
651,132,025,461,368,633,594,822,903,978,996,613,472,484,896,684,511,097,386,
095,499,054,865,635,225,715,412,432,052,842,692,421,153,178,686,068,360,116,
409,002,228,921,418,243,804,998,167,194,093,292,700,417,111,663,127,576,445,
878,468,920,964,418,405,756,740,103,748,824,810,470,816,978,499,512,813,711,
917,973,212,031,891,586,616,516,724,479,627,348,100,231,144,758,582,000,211,
238,060,630,116,205,116,407,990,629,534,060,331,258,434,688,751,243,855,197,
380,079,776,739,422,310,874,907,748,277,374,011,298,625,648,468,805,479,323,
805,827,152,781,075,236,397,621,398,029,487,702,264,527,436,701,002,951,044,
161,521,126,166,270,935,901,187,582,581,660,817,564,937,131,309,786,967,037,
302,506,467,587,235,290,319,354,098,419,294,605,996,639,418,476,341,871,930,
530,479,515,474,549,802,389,437,117,444,118,638,506,681,699,775,417,285,458,
832,697,171,159,497,890,153,605,969,593,841,068,200,702,299,747,549,042,834,
753,879,909,172,895,531,716,315,315,519,866,509,484,790,181,771,605,835,727,
005,764,051,440,993,206,405,624,226,151,740,839,785,901,397,035,262,208,345,
852,657,804,144,614,013,415,610,309,899,791,178,322,369,449,492,665,177,961,
028,011,862,825,197,266,365,714,276,141,470,332,644,393,952,979,780,426,307,
274,734,014,270,177,944,364,992,715,704,615,262,942,182,517,442,967,163,649,
461,536,765,923,978,607,151,289,684,233,663,978,392,617,772,688,502,659,582,
096,059,684,584,263,437,862,080,129,254,872,682,117,335,749,774,191,949,897,
237,254,378,922,292,088,786,454,797,498,897,657,667,212,578,851,862,842,758,
452,035,486,278,645,329,073,218,867,186,886,238,595,903,705,003,780,272,818,
123,199,790,600,978,681,447,155,570,219,398,582,320,348,397,886,093,615,130,
236,571,957,012,179,418,540,823,160,864,772,334,397,398,726,525,477,971,780,
455,143,197,879,132,815,395,129,484,302,316,021,805,840,720,942,290,591,919,
739,770,737,211,736,337,187,864,078,694,164,652,484,251,194,061,251,471,933,
897,106,992,165,678,395,148,967,207,786,629,676,778,182,499,002,123,859,064,
434,282,453,140,547,876,064,210,161,700,686,987,004,572,024,136,805,371,702,
895,758,972,216,359,446,507,411,375,243,779,250,979,862,538,529,382,163,988,
705,706,671,387,877,446,340,671,991,135,549,944,258,377,477,504,921,874,601,
134,569,792,525,070,301,364,327,062,051,286,310,359,230,313,068,070,628,203,
832,910,890,116,021,124,453,947,331,750,788,185,831,434,368,989,290,268,769,
067,520,368,718,735,292,442,907,638,045,200,227,915,870,555,861,401,143,882,
534,519,792,976,821,919,967,170,220,329,342,815,958,518,639,651,862,873,898,
770,521,729,451,230,790,260,171,769,610,750,585,083,362,696,560,107,796,145,
638,444,442,861,933,720,244,509,829,997,917,174,113,954,057,269,485,382,736,
815,653,356,956,654,773,704,344,326,116,008,556,655,406,203,320,457,499,760,
375,766,514,771,776,805,249,713,256,857,329,214,890,172,118,023,389,457,249,
322,823,570,610,004,641,891,438,245,355,838,536,112,366,204,164,442,900,173,
905,380,935,589,897,907,384,522,928,492,466,568,442,891,208,174,740,238,479,
420,195,454,570,070,770,188,015,815,167,209,426,401,614,384,863,480,593,546,
091,998,907,720,248,798,576,191,169,372,841,102,806,456,724,050,927,194,757,
603,814,958,582,526,765,117,251,147,097,358,223,613,433,568,740,750,699,718,
991,845,236,791,298,626,611,885,701,083,154,632,245,595,758,795,060,872,120,
097,221,111,469,750,028,255,837,066,161,169,665,732,935,750,401,739,061,468,
469,409,352,324,073,643,277,772,302,822,749,818,152,262,433,642,815,213,606,
226,488,208,726,605,925,642,638,723,018,632,211,813,071,778,177,531,734,413,
658,927,205,520,053,336,875,258,200,419,513,906,280,584,354,158,645,256,042,
454,537,763,808,496,347,878,864,312,901,361,238,744,300,982,802,983,976,878,
755,669,999,544,772,941,044,032,855,456,576,840,335,776,525,026,620,747,084,
977,112,417,788,931,732,188,018,456,162,329,130,727,125,299,615,079,718,274,
882,431,272,099,187,393,389,130,758,249,965,792,777,395,267,051,253,450,821,
823,154,939,174,178,711,521,068,873,799,339,489,550,546,641,107,146,954,710,
653,553,742,692,258,012,571,059,664,622,972,070,804,128,721,843,651,204,247,
246,503,501,182,350,173,840,955,658,927,959,449,450,379,785,073,621,966,481,
423,621,287,840,934,091,034,852,112,391,089,963,837,564,596,263,458,698,851,
395,652,642,328,183,735,717,394,117,312,328,243,547,086,923,443,618,746,644,
507,397,199,088,108,072,755,897,044,098,138,841,916,282,158,114,692,185,955,
606,195,486,723,715,138,097,469,141,380,844,897,074,099,118,459,084,259,790,
397,761,423,368,474,186,429,093,685,394,952,953,477,196,393,822,068,906,335,
649,059,109,271,365,320,440,991,311,707,584,530,343,631,836,937,609,474,318,
242,272,634,911,862,749,850,054,960,978,527,961,825,673,788,497,059,904,373,
351,410,984,679,509,168,496,848,217,511,730,859,826,139,804,306,090,395,373,
572,293,812,452,812,696,379,916,070,156,739,335,767,349,133,740,060,757,724,
198,240,334,331,288,052,743,971,969,654,378,577,212,692,671,070,219,956,123,
415,172,502,099,736,387,182,981,619,540,491,455,843,886,589,145,859,322,134,
811,818,541,549,698,360,474,955,081,330,085,235,787,892,539,674,328,175,180,
515,067,853,318,081,074,478,962,136,110,964,254,981,388,463,345,996,990,176,
459,512,743,376,610,243,053,321,495,711,154,597,520,245,668,663,801,033,031,
312,062,371,525,727,020,466,625,948,565,954,090,463,056,074,051,144,201,439,
931,341,927,836,505,225,629,682,426,450,440,265,772,802,896,983,039,020,809,
356,516,733,123,087,855,867,130,407,299,949,843,885,883,459,126,542,441,804,
380,997,099,319,188,483,229,366,867,743,259,327,003,179,997,172,432,795,581,
135,508,544,506,918,912,094,807,928,305,341,257,808,146,605,738,426,891,218,
090,303,478,940,977,567,889,496,669,028,977,561,328,806,922,477,383,668,790,
903,096,155,076,707,402,867,546,925,805,112,920,507,028,042,376,754,082,242,
597,488,883,179,123,564,438,097,585,647,436,915,045,977,298,063,001,555,416,
354,497,144,304,424,382,152,902,236,534,781,595,691,304,872,412,754,827,286,
074,576,707,512,705,482,442,367,342,666,185,402,188,381,056,109,375,821,866,
887,186,122,843,645,072,270,797,908,773,696,826,653,091,305,913,218,543,401,
100,400,674,956,202,263,970,665,410,863,388,643,202,138,435,506,045,849,129,
943,054,388,332,312,153,079,311,930,593,761,327,077,095,007,891,470,003,502,
281,174,849,755,517,233,377,255,454,115,022,921,390,946,778,989,271,024,898,
215,437,522,931,961,099,261,930,412,287,703,462,543,011,423,222,202,694,674,
019,651,343,888,775,177,977,014,258,693,769,437,761,780,909,983,007,213,158,
433,970,466,132,085,116,633,428,964,985,402,688,141,242,465,648,715,026,523,
625,788,187,619,046,125,587,198,717,986,635,088,131,690,518,984,197,682,728,
900,250,588,841,493,739,397,290,196,134,395,759,960,087,576,845,765,024,004,
760,469,510,819,210,524,172,000,066,614,232,062,960,387,325,692,526,401,935,
384,348,356,025,196,412,986,930,710,364,072,396,021,281,267,274,378,372,247,
430,629,102,806,046,665,740,494,957,586,728,213,519,854,134,090,898,742,633,
910,737,100,635,776,684,506,824,669,761,877,135,930,265,362,776,108,942,740,
588,107,171,953,528,820,345,255,392,861,199,981,042,941,180,903,644,299,391,
096,038,691,390,359,596,090,273,691,574,239,631,508,006,099,807,040,086,571,
603,276,222,077,356,667,458,560,789,371,880,599,025,370,111,214,969,497,461,
016,328,482,550,783,074,408,109,180,543,320,113,023,038,790,237,314,246,940,
915,951,161,598,398,302,499,755,701,736,343,118,840,265,124,739,628,715,279,
133,310,493,977,764,480,517,349,161,225,462,156,914,818,014,043,848,125,009,
971,205,937,065,345,253,230,319,640,969,503,022,508,454,352,696,932,306,334,
398,897,868,176,090,077,838,632,133,452,211,681,926,721,414,564,428,457,733,
167,613,178,066,136,757,501,281,739,727,417,944,337,449,384,475,124,353,862,
212,432,528,047,899,899,549,613,889,134,769,648,222,084,267,472,045,341,802,
014,144,575,620,387,442,514,629,627,554,963,541,863,022,739,748,855,471,838,
712,196,853,764,346,874,383,023,961,247,296,903,676,504,265,236,740,232,060,
959,943,018,350,369,856,331,050,694,700,226,190,892,384,250,823,338,666,008,
188,214,461,402,353,634,009,450,422,034,168,397,884,494,156,758,338,014,304,
611,704,931,892,244,909,923,835,147,366,887,989,758,344,900,448,155,272,099,
360,203,534,139,380,933,175,580,601,590,804,581,835,313,984,405,736,124,875,
135,940,054,426,021,250,625,190,941,756,862,455,624,335,697,182,970,553,524,
671,142,440,654,372,748,080,598,905,719,607,389,410,421,438,080,964,932,113,
337,350,358,069,052,990,799,483,958,214,563,525,758,467,969,464,154,365,686,
389,875,157,018,019,565,608,498,597,667,568,486,351,063,169,411,116,438,976,
022,294,649,348,046,243,781,660,601,284,517,832,892,121,540,945,988,225,324,
607,132,815,629,770,291,841,762,874,621,290,873,366,592,079,154,902,777,968,
510,499,792,520,075,726,596,079,703,319,307,005,098,861,486,347,203,010,662,
521,575,156,158,775,903,927,870,395,313,963,382,538,518,766,613,024,089,421,
879,387,424,416,629,665,938,358,967,207,088,822,919,172,742,022,216,538,656,
796,775,654,665,680,304,088,304,047,246,058,691,962,366,617,955,954,341,952,
351,123,786,331,486,340,437,953,783,545,207,660,421,907,329,251,944,819,531,
255,919,407,555,566,411,312,563,977,622,471,984,233,256,231,752,904,136,803,
173,554,084,050,216,914,328,015,562,678,577,520,951,463,774,786,700,866,434,
192,591,046,557,347,489,211,729,086,096,667,053,836,920,058,337,227,756,310,
274,911,815,913,609,493,605,877,724,372,813,114,006,280,858,029,267,783,102,
485,970,512,627,477,643,739,046,906,663,907,464,692,455,643,153,491,395,093,
596,586,465,043,463,100,453,498,015,379,252,690,129,394,684,570,992,994,147,
094,377,886,299,922,510,843,212,303,559,146,136,626,476,484,218,666,343,909,
058,430,023,735,213,373,744,719,312,702,887,392,137,608,037,977,698,673,346,
820,218,180,334,548,179,910,646,080,789,023,097,415,917,973,112,691,008,313,
688,443,804,292,556,305,525,235,135,833,710,154,576,048,410,837,342,748,096,
947,549,313,286,053,188,757,446,390,844,089,555,289,291,791,931,596,241,087,
638,147,080,436,242,521,699,188,349,706,754,679,912,723,621,341,808,896,998,
441,909,004,310,939,455,167,263,834,960,665,023,567,677,343,169,575,973,609,
761,172,813,206,342,315,559,094,861,064,344,453,115,380,513,916,801,592,614,
179,617,382,277,650,248,744,315,569,458,813,713,294,946,433,713,417,225,769,
125,084,142,426,898,964,336,576,468,212,385,571,884,617,306,922,487,413,615,
289,176,800,947,865,087,095,168,522,171,010,133,159,445,190,569,381,410,211,
477,404,347,629,847,395,163,728,773,442,438,054,615,118,863,993,598,916,361,
867,745,428,013,062,566,570,595,769,543,713,251,157,885,090,021,525,904,811,
852,708,490,991,465,490,324,762,625,256,515,792,403,739,404,506,507,241,654,
374,544,008,120,818,243,241,857,387,544,886,144,093,898,824,935,217,864,050,
331,809,166,540,371,063,569,262,850,072,448,626,497,303,121,336,978,560,179,
291,879,964,288,996,260,323,803,381,130,755,666,473,284,871,215,781,081,165,
369,374,428,790,162,085,984,407,288,090,962,151,216,952,222,255,233,635,700,
696,254,719,828,678,312,084,465,411,798,189,512,969,540,460,561,524,496,901,
871,073,337,017,033,211,698,064,534,179,282,966,920,242,043,246,781,270,600,
925,138,039,059,681,334,050,069,733,901,180,671,824,605,952,702,364,625,749,
908,731,703,374,409,352,772,936,232,433,240,683,606,919,597,239,672,177,841,
075,710,904,532,943,396,135,171,110,488,066,340,948,337,714,858,032,085,911,
204,377,212,344,914,391,872,156,398,438,868,014,125,955,957,359,090,714,698,
556,875,970,929,732,155,445,698,736,943,273,001,608,068,479,037,841,143,986,
392,405,856,525,987,758,823,886,179,337,884,898,761,222,665,530,764,553,072,
809,478,515,485,224,980,617,698,654,739,917,328,568,117,272,232,553,458,824,
341,823,986,866,674,513,578,171,543,273,313,390,471,736,145,184,329,782,011,
137,893,454,964,673,470,200,712,016,304,400,206,815,058,068,445,257,971,196,
602,780,673,793,359,769,858,367,753,099,628,271,887,905,236,700,197,033,468,
382,127,268,560,703,738,798,202,800,599,001,944,661,200,301,491,518,964,594,
298,593,456,536,039,491,387,781,291,404,682,855,757,318,690,636,526,456,011,
718,338,815,876,723,400,189,759,063,778,332,959,016,417,156,221,792,444,380,
805,728,090,468,874,541,517,703,355,028,684,205,474,983,353,765,432,610,062,
926,799,164,687,363,841,191,098,099,203,415,212,555,270,354,604,783,835,717,
853,253,890,397,786,212,897,262,273,140,937,759,205,481,598,991,389,510,102,
911,706,550,265,272,737,722,311,493,820,426,726,110,511,200,686,939,958,608,
511,887,431,493,988,546,702,500,410,928,917,349,270,320,422,886,343,105,809,
240,631,057,460,207,030,180,358,113,285,346,071,028,658,609,210,325,868,963,
731,604,641,270,856,931,111,100,545,099,159,486,966,227,932,190,727,559,393,
117,602,220,007,710,842,033,848,061,562,145,551,448,809,760,478,523,942,367,
118,507,472,358,481,150,447,995,053,098,536,492,721,523,935,817,363,806,873,
920,098,049,437,655,665,246,121,376,484,422,842,613,363,203,097,349,709,407,
854,356,011,562,253,941,196,324,953,036,911,684,237,825,401,456,600,658,766,
480,280,530,861,581,172,225,792,415,860,693,870,173,208,248,699,978,006,469,
357,832,783,542,086,498,358,248,902,045,316,763,177,828,533,793,975,340,248,
486,830,772,882,600,145,823,404,225,620,315,873,815,525,969,305,638,865,784,
310,247,652,827,111,869,172,610,402,321,376,109,394,189,846,432,345,665,929,
100,072,629,298,530,002,139,478,692,429,840,796,826,425,270,518,899,113,508,
998,673,004,329,605,738,340,366,078,790,465,401,696,051,845,407,519,462,844,
796,890,009,670,367,908,985,864,540,179,438,001,308,348,274,767,868,720,840,
841,512,473,856,808,187,562,676,531,678,651,965,614,787,891,656,901,875,788,
999,096,750,312,494,940,899,882,478,954,549,575,794,029,233,133,760,999,773,
445,057,261,074,785,255,576,706,630,765,604,163,579,692,260,387,916,733,019,
104,494,117,879,370,105,366,939,490,940,863,016,696,004,340,458,007,240,682,
767,142,090,289,337,861,601,813,285,006,564,257,471,826,045,024,060,562,069,
649,029,155,362,429,679,922,778,906,766,035,904,524,304,220,192,574,739,795,
793,187,353,948,030,632,488,209,777,176,064,206,507,154,181,641,175,078,967,
755,280,956,665,572,042,787,280,099,338,454,258,857,674,845,433,902,534,037,
625,963,413,386,465,693,743,679,056,318,460,247,146,553,591,163,345,577,767,
830,867,661,478,883,076,517,169,373,195,270,601,361,117,500,562,008,134,989,
591,047,543,726,561,387,042,547,929,247,220,784,665,283,457,079,318,802,674,
533,479,251,395,276,666,702,749,421,523,001,302,611,614,525,332,267,739,646,
780,834,475,683,807,541,231,120,222,539,581,725,726,801,639,798,656,636,039,
298,348,365,671,779,276,723,456,915,856,730,231,106,989,880,478,967,723,070,
337,151,041,771,330,604,396,233,954,565,944,147,200,669,543,401,643,242,380,
759,968,952,110,980,790,006,701,811,076,785,895,406,980,965,450,917,935,478,
278,421,830,954,187,048,885,680,029,985,838,901,667,564,980,935,405,284,710,
802,268,130,204,838,707,455,613,084,322,436,279,590,321,543,398,042,313,392,
035,744,920,939,192,508,289,765,553,891,651,850,382,648,178,445,654,800,951,
774,980,633,281,626,633,037,796,838,986,012,567,087,529,714,290,307,182,854,
845,511,851,953,441,597,536,904,752,274,662,232,014,401,102,612,107,065,835,
782,397,327,786,238,210,240,008,527,965,820,478,518,034,383,051,057,400,342,
121,563,804,392,573,789,178,970,002,586,207,994,666,991,517,480,124,167,422,
533,934,214,570,226,112,170,492,103,135,331,138,989,151,197,408,718,192,196,
392,092,545,996,142,528,227,838,994,667,089,854,681,898,502,242,690,561,489,
401,305,031,434,999,025,914,004,460,142,571,662,196,272,563,078,866,221,266,
298,638,390,034,852,443,443,605,345,952,086,120,537,454,447,044,153,310,702,
224,719,338,670,589,294,246,115,391,112,221,624,388,404,070,496,674,858,774,
479,712,699,369,166,328,503,560,871,698,760,266,556,991,305,922,710,722,608,
941,488,457,402,826,225,735,820,540,301,773,052,515,871,132,151,572,261,531,
961,296,326,056,903,706,553,303,414,466,431,310,072,277,154,698,431,367,275,
010,270,784,961,411,777,146,761,020,228,640,932,069,210,720,419,485,711,538,
072,942,601,673,331,768,511,034,264,912,038,663,392,347,372,696,013,649,212,
531,517,307,713,947,729,333,589,827,677,419,595,901,012,992,953,011,545,847,
299,582,705,557,510,123,348,813,517,084,333,381,781,264,255,803,346,628,897,
626,018,016,023,916,193,846,574,687,507,019,241,790,886,790,213,083,459,936,
253,057,390,621,188,122,506,779,375,570,755,899,525,192,154,497,672,581,869,
059,498,532,517,779,125,725,236,423,773,611,566,165,119,098,008,416,310,828,
867,485,384,279,088,099,441,841,913,823,344,513,885,771,858,396,007,017,721,
765,421,412,003,527,776,974,092,908,206,467,332,228,659,569,429,968,373,525,
322,376,492,235,023,705,446,695,792,759,067,304,906,141,158,076,341,071,513,
018,646,621,129,768,180,189,364,213,713,710,379,137,557,789,963,594,821,994,
410,726,276,939,761,847,148,448,715,634,185,722,531,598,825,393,792,952,646,
473,022,738,037,222,218,445,719,940,713,764,136,817,940,386,812,512,856,337,
489,609,923,846,488,091,726,459,037,745,994,482,288,415,032,680,962,336,709,
561,510,072,159,567,892,134,068,845,441,088,761,728,557,070,290,329,578,459,
534,284,196,643,790,178,169,466,216,761,497,434,459,478,100,283,171,906,393,
924,915,186,190,067,922,817,141,093,478,072,952,889,373,208,715,137,093,140,
044,533,086,819,671,698,023,019,967,635,508,049,591,557,296,065,761,796,587,
033,156,987,155,558,318,933,760,466,127,094,753,606,669,406,103,049,799,315,
837,249,302,447,558,788,393,557,809,074,628,643,331,750,558,892,503,203,384,
320,205,831,084,427,311,199,363,212,278,031,002,566,698,352,981,896,717,172,
267,588,060,026,079,529,561,961,266,998,204,231,952,377,293,252,211,352,871,
660,169,435,441,124,359,111,437,423,533,645,244,550,006,299,240,352,187,965,
733,695,807,900,311,336,081,546,608,831,917,651,027,149,254,302,479,221,862,
257,026,028,650,324,400,690,211,485,631,051,253,668,915,804,872,718,878,347,
810,978,518,063,419,568,309,815,273,770,656,365,532,448,347,671,078,436,264,
976,876,217,867,594,690,184,522,374,468,564,637,734,391,812,556,677,090,168,
433,498,083,964,292,754,414,374,177,521,199,040,018,482,657,044,646,881,544,
078,215,134,634,821,285,722,849,021,118,102,778,980,264,708,619,790,551,135,
850,869,262,123,382,517,209,644,587,096,191,339,502,887,504,897,083,221,452,
665,322,067,972,812,152,697,819,054,340,862,666,144,958,000,559,771,689,894,
355,330,267,509,558,415,090,241,154,058,268,572,859,489,796,690,579,939,380,
241,575,939,441,829,825,139,142,282,522,984,659,211,905,221,389,184,812,491,
323,943,088,170,263,956,778,829,507,583,557,685,384,418,348,024,662,155,927,
111,356,234,393,991,333,137,214,541,068,113,979,584,075,735,486,568,179,053,
781,156,803,381,727,148,774,655,346,917,500,646,065,307,241,542,676,169,794,
369,338,406,647,081,260,993,813,915,952,334,750,478,830,886,493,963,544,492,
895,325,385,131,843,393,820,654,987,617,182,100,297,927,437,627,983,862,647,
999,402,618,114,525,353,785,448,519,071,751,712,934,427,751,188,333,644,348,
337,285,193,374,881,653,065,216,967,535,469,284,638,599,719,532,360,513,222,
706,123,968,672,669,270,200,659,663,106,368,842,957,666,908,039,488,492,857,
703,289,713,920,806,821,355,703,046,622,589,111,389,259,354,872,332,536,048,
181,414,506,850,512,604,643,826,005,375,327,693,253,736,816,888,040,645,135,
620,152,322,939,255,046,954,480,922,259,215,797,366,626,906,611,509,343,881,
407,562,162,275,709,247,754,854,791,427,956,882,959,903,427,552,048,649,002,
348,276,722,788,047,150,468,570,071,473,493,263,864,305,394,745,580,193,574,
374,565,959,317,733,581,903,397,442,218,845,532,291,379,512,747,846,106,292,
755,210,709,258,467,566,896,778,050,366,008,718,415,521,101,461,636,276,558,
124,256,318,469,329,052,294,655,302,646,217,513,259,657,280,577,337,315,025,
317,269,798,896,337,035,913,451,388,542,523,306,387,606,231,265,494,847,632,
640,214,634,698,275,583,345,346,173,494,908,015,626,563,825,187,865,264,800,
178,601,711,094,816,415,681,061,497,853,045,661,432,108,552,646,418,457,238,
100,944,084,023,267,138,649,977,452,010,264,733,815,336,064,881,215,504,173,
233,210,221,148,093,996,943,548,394,414,409,167,713,833,865,844,424,774,884,
628,748,299,045,846,761,220,773,034,414,898,402,333,959,509,907,410,174,225,
446,202,218,525,000,229,844,650,102,619,203,380,001,160,382,419,627,532,834,
807,426,808,446,815,742,949,350,414,817,070,663,224,369,150,420,076,505,192,
047,617,199,390,937,277,205,135,741,861,246,253,084,420,397,127,384,683,698,
136,213,819,086,756,559,987,886,808,833,736,640,850,474,131,529,864,069,851,
986,561,935,998,558,475,835,662,934,791,103,369,404,698,376,486,872,572,507,
331,935,204,190,945,570,574,770,839,785,648,281,353,725,467,753,799,445,789,
016,557,190,987,791,608,564,875,500,524,669,764,988,605,948,940,693,792,592,
190,927,467,955,299,524,618,869,789,514,333,692,258,077,281,420,734,573,527,
676,901,644,780,831,042,007,679,450,549,005,817,856,026,342,029,623,324,346,
962,111,434,655,796,648,730,857,708,231,140,740,201,476,779,835,056,953,837,
423,706,516,026,783,945,590,227,310,658,972,807,437,669,214,997,528,522,076,
965,527,252,363,103,576,174,444,146,065,717,166,864,640,656,363,475,378,414,
461,085,529,063,339,190,240,246,062,328,858,828,627,158,227,394,981,667,286,
058,299,945,667,183,996,677,314,974,938,892,634,097,684,908,654,700,413,310,
980,237,952,786,226,444,641,309,153,855,651,083,582,325,295,956,352,720,068,
086,140,745,189,006,196,635,727,039,698,092,341,843,028,985,751,636,506,900,
589,365,435,343,223,518,264,607,746,322,445,813,942,730,652,961,724,398,569,
964,328,115,517,640,880,464,356,640,452,393,952,279,659,204,365,095,502,046,
182,399,275,498,486,612,594,310,054,991,175,724,883,861,313,192,523,635,183,
436,179,518,955,030,388,112,699,724,624,822,915,679,766,876,130,279,086,351,
759,445,918,236,516,711,387,510,884,814,023,055,986,944,292,122,351,465,849,
927,252,853,143,572,630,008,336,682,455,808,937,607,418,342,659,055,599,702,
531,636,983,595,184,305,280,982,216,819,409,313,647,921,021,279,569,419,864,
402,472,790,397,106,801,239,631,355,073,526,208,705,747,909,479,991,989,265,
441,414,069,697,148,681,030,029,360,043,341,179,132,028,389,755,995,872,409,
441,463,798,175,204,362,009,609,051,102,707,647,327,390,060,706,790,347,532,
579,664,665,841,222,029,130,504,621,798,000,355,394,428,236,491,442,452,858,
945,245,059,673,441,900,368,862,345,027,806,704,735,430,235,374,011,329,298,
540,486,210,863,833,222,034,008,028,130,173,593,407,995,813,133,204,269,703,
517,844,933,678,791,746,944,696,152,157,307,764,210,983,429,744,969,778,725,
015,285,448,373,968,801,001,493,116,952,951,328,898,268,956,447,877,898,645,
494,793,358,983,103,580,598,936,931,265,826,532,115,087,441,561,486,358,749,
917,174,227,368,169,744,944,977,357,762,737,135,128,530,179,871,551,415,217,
002,671,771,608,172,199,528,817,129,882,140,195,122,171,868,286,617,672,552,
642,966,720,419,870,874,038,877,326,789,116,264,216,718,598,198,075,761,863,
448,855,899,409,957,903,595,735,173,099,430,370,999,149,382,439,068,760,820,
185,639,853,170,508,467,594,995,269,687,972,078,462,673,257,143,639,632,867,
558,007,955,840,358,226,524,930,193,020,811,728,037,439,290,793,326,216,561,
726,962,637,300,148,008,472,545,497,845,054,867,830,634,964,369,646,003,749,
426,943,769,425,087,228,702,274,787,449,628,405,061,661,221,793,673,880,193,
228,620,477,789,688,112,373,347,927,906,500,840,435,414,991,150,769,157,447,
773,768,076,256,592,384,384,867,927,591,650,254,073,992,356,227,519,512,547,
611,062,233,555,594,396,843,548,391,164,049,649,526,964,756,295,611,992,263,
457,230,622,277,451,256,383,409,746,988,913,192,943,570,487,436,114,078,934,
236,168,153,769,089,739,282,950,199,971,425,716,305,794,203,816,334,236,494,
787,837,835,814,859,318,973,529,355,506,645,701,815,133,523,078,664,050,577,
906,660,781,370,122,473,776,956,460,984,032,038,213,942,612,542,955,080,554,
910,939,876,356,795,664,063,257,661,531,809,595,936,510,130,784,244,654,497,
766,908,172,036,364,790,319,423,252,487,441,246,121,065,084,314,926,519,230,
998,925,438,572,125,597,198,239,456,293,479,305,243,346,059,547,513,637,367,
525,760,483,285,551,725,030,325,748,265,579,906,073,910,173,566,093,585,936,
823,910,410,659,593,869,442,447,783,488,266,147,162,707,312,331,078,210,163,
576,091,254,124,602,605,008,891,704,475,650,590,706,605,473,737,911,690,462,
542,912,871,460,475,841,180,822,446,235,756,640,689,971,287,035,458,687,988,
992,195,033,761,141,561,718,111,734,558,881,762,980,022,045,582,177,824,882,
844,081,504,841,056,372,967,168,067,311,738,767,741,752,923,678,754,739,671,
451,563,189,770,589,998,964,607,959,851,452,436,605,932,486,253,914,199,079,
244,012,441,956,618,455,138,707,897,518,727,770,047,715,504,767,544,206,657,
101,810,736,413,437,324,928,395,037,886,321,082,526,763,213,570,570,572,425,
965,554,601,034,692,804,611,025,362,788,812,920,184,005,077,046,988,598,588,
963,523,005,674,781,212,880,661,393,410,330,213,774,149,578,967,353,243,688,
117,523,550,167,821,339,455,326,820,114,104,089,340,581,438,509,099,326,056,
454,965,397,105,139,181,397,446,928,748,558,283,138,910,703,255,479,964,861,
937,354,848,649,369,149,445,925,944,215,987,822,064,642,036,354,920,827,473,
302,530,003,034,484,455,241,036,372,808,190,493,064,864,429,491,648,153,483,
697,332,671,663,465,660,055,223,276,435,173,835,731,441,284,262,019,934,811,
867,630,409,643,528,402,300,972,053,808,792,493,710,032,667,115,737,608,031,
314,493,533,844,985,080,693,280,642,834,622,659,701,996,019,174,823,827,426,
794,818,465,476,242,560,358,160,148,863,363,350,923,722,543,926,262,854,001,
161,658,066,242,401,807,884,644,348,734,881,534,762,832,657,952,459,346,363,
332,464,144,565,201,944,518,920,856,666,733,444,096,771,664,881,600,880,043,
275,416,091,429,577,608,011,142,444,476,685,614,236,879,126,876,518,779,563,
954,931,458,758,678,258,009,808,991,879,409,117,990,157,393,872,229,331,045,
934,754,983,203,329,055,158,996,571,317,535,651,287,358,602,741,147,398,822,
350,109,079,612,378,867,280,459,728,615,622,797,188,724,810,006,038,883,531,
620,496,318,495,628,744,603,386,446,927,951,834,695,351,451,612,589,954,407,
956,109,531,468,468,917,176,310,558,078,442,407,316,549,760,044,995,266,967,
415,702,812,544,033,996,306,624,038,223,259,687,161,522,818,519,425,679,790,
093,013,044,188,570,478,533,828,191,707,795,927,801,548,287,949,526,050,432,
566,668,727,453,302,209,641,770,874,474,393,858,588,578,145,895,925,757,479,
258,957,967,483,588,462,762,203,536,196,912,794,202,733,520,102,044,023,540,
143,754,159,776,684,387,704,956,153,302,839,432,432,298,304,375,969,470,144,
365,737,799,901,840,925,422,162,930,727,757,052,270,613,802,494,967,453,733,
741,366,584,279,786,379,297,036,699,073,544,328,004,554,094,123,680,124,503,
003,860,706,178,506,826,610,143,042,977,022,774,978,698,042,415,165,105,205,
885,410,720,098,112,313,033,664,879,054,940,655,687,186,179,519,992,173,689,
455,418,965,104,037,035,988,777,976,726,490,815,783,493,641,753,695,487,974,
511,570,306,752,767,827,351,627,033,503,594,743,262,854,591,318,127,935,054,
108,803,708,202,529,846,918,373,051,435,695,960,276,313,823,329,144,730,525,
889,373,345,196,861,848,304,178,118,717,677,031,106,050,930,582,994,050,828,
904,944,494,280,952,114,839,208,264,707,987,929,108,024,262,429,354,985,967,
162,239,132,504,791,149,647,959,413,077,890,736,987,931,809,916,344,795,392,
127,815,767,899,354,689,742,698,463,272,662,182,880,376,568,923,103,009,267,
650,340,277,970,978,741,326,236,526,387,963,031,558,512,969,801,846,575,604,
005,230,323,502,007,601,124,913,375,392,283,003,099,231,873,581,608,753,961,
724,817,471,384,329,706,851,526,215,573,860,132,641,212,362,526,620,750,900,
577,795,023,150,859,188,940,800,099,752,469,144,541,309,444,752,980,843,199,
748,838,170,728,780,398,516,189,554,934,072,059,175,205,423,406,653,291,769,
890,106,594,193,475,859,171,690,576,220,793,948,416,266,520,719,364,152,053,
196,423,599,277,040,954,952,401,472,606,900,850,331,528,594,365,691,862,913,
939,155,605,719,466,106,474,513,173,595,300,880,732,535,817,971,388,599,087,
662,231,091,572,124,855,407,346,963,387,721,950,959,981,550,867,599,360,799,
437,853,899,823,975,276,355,843,772,738,374,616,690,819,667,999,429,638,278,
753,795,540,140,654,147,244,834,823,376,914,936,493,871,331,547,703,003,990,
105,807,697,305,774,501,357,714,333,574,952,333,054,010,675,135,686,932,994,
172,572,977,017,993,996,598,521,587,725,911,572,056,113,731,598,614,030,792,
050,597,276,305,175,291,011,880,889,171,792,408,835,923,830,526,643,913,803,
965,963,800,973,501,784,102,711,337,897,139,550,807,604,064,700,016,653,686,
479,943,994,108,630,474,741,718,468,165,503,551,160,353,955,285,072,600,006,
836,704,029,728,661,381,100,061,080,852,376,937,863,562,833,310,315,209,835,
761,294,607,630,575,926,909,865,890,536,998,923,654,603,780,169,329,212,144,
354,143,407,505,525,843,802,689,723,616,303,287,417,749,436,535,759,670,550,
527,857,691,854,532,145,716,787,280,164,655,533,550,155,089,628,419,724,221,
479,554,369,332,070,081,825,549,209,877,251,433,048,696,116,986,715,839,491,
097,358,097,339,062,563,422,525,988,689,288,453,753,284,162,601,179,493,713,
660,767,266,385,129,238,498,060,831,999,277,722,974,295,279,059,595,929,708,
953,731,305,960,151,487,763,932,461,487,236,490,315,625,099,603,887,006,909,
181,245,969,402,269,764,203,402,202,211,302,949,916,747,227,854,328,971,241,
410,784,229,215,930,050,475,468,992,686,577,975,742,030,966,803,507,098,918,
719,756,614,887,454,296,177,236,279,705,573,942,926,308,082,792,047,000,239,
237,782,290,263,720,713,322,934,119,755,949,851,618,437,511,286,843,761,863,
969,060,847,431,238,551,789,132,845,874,897,895,323,382,420,698,332,304,483,
617,941,112,864,923,209,455,242,410,747,274,801,888,944,580,655,828,550,950,
567,418,056,442,587,617,357,706,761,235,300,424,042,019,347,357,744,590,214,
023,899,253,094,047,695,329,143,784,317,635,516,936,340,167,882,904,240,059,
637,376,914,343,763,457,429,171,146,399,903,953,454,023,224,547,235,567,138,
872,781,094,803,273,436,310,175,259,390,446,730,367,944,696,275,918,243,461,
093,439,649,960,887,479,361,566,180,007,117,767,785,074,821,622,612,160,488,
669,892,773,121,392,780,228,772,426,905,653,707,394,805,620,982,151,234,996,
996,590,027,095,812,262,773,274,426,072,318,491,817,699,470,955,993,608,594,
104,818,301,419,733,361,817,164,359,412,624,770,272,433,616,009,920,208,914,
592,846,442,370,018,788,793,246,030,473,445,436,376,284,601,479,052,419,225,
321,610,707,479,608,720,317,245,299,568,508,548,500,812,559,658,638,570,871,
485,253,388,868,127,006,735,804,482,853,780,920,248,317,993,662,163,793,925,
580,736,075,204,394,630,222,275,034,689,022,317,510,622,026,049,881,745,136,
575,832,736,529,564,935,506,849,737,228,761,762,685,664,988,942,376,069,335,
335,663,527,074,526,118,249,748,316,215,317,870,934,687,286,909,475,836,411,
598,392,308,501,547,867,999,669,862,724,846,219,513,531,002,728,544,912,039,
497,629,053,725,324,580,639,898,417,270,883,253,699,980,661,261,200,078,157,
001,134,753,004,189,812,069,972,777,150,346,456,339,688,337,889,640,983,210,
572,323,894,292,108,236,681,575,667,489,176,708,112,516,494,464,984,705,834,
133,897,113,801,556,068,933,356,703,981,630,683,242,577,410,413,381,213,389,
786,302,519,176,090,009,694,000,567,884,569,108,689,179,087,942,882,041,277,
025,420,259,546,653,694,876,032,500,522,878,840,057,134,145,440,024,285,393,
548,019,521,668,105,792,127,177,663,542,580,459,272,027,010,507,042,291,625,
062,865,257,278,132,397,977,396,448,316,342,913,846,464,488,647,680,420,544,
858,656,320,630,266,185,528,417,540,185,395,807,616,522,839,475,915,786,532,
122,275,483,482,599,718,239,811,731,247,879,433,544,694,057,645,061,983,763,
677,217,734,812,881,876,019,547,131,086,449,965,610,470,303,246,723,080,399,
443,874,455,373,015,349,010,015,990,978,291,798,390,997,419,073,609,522,321,
270,054,580,646,450,457,807,345,271,817,129,509,292,822,627,668,109,539,625,
505,297,972,717,036,311,811,801,843,498,750,891,177,384,450,783,180,808,446,
775,401,677,460,688,583,612,164,622,349,980,086,264,969,989,487,014,852,555,
161,624,513,723,969,734,548,231,955,766,851,940,273,027,974,953,953,146,878,
608,922,532,393,097,416,410,853,581,148,523,190,725,832,051,628,086,125,137,
805,594,897,788,661,255,416,402,160,550,836,586,242,084,516,344,074,527,157,
599,781,523,823,976,673,798,815,835,873,240,865,702,602,435,284,043,501,128,
032,810,281,557,400,205,049,885,158,282,890,793,178,435,779,418,434,582,529,
910,963,874,641,527,685,572,145,455,172,974,005,993,189,242,965,239,191,225,
299,003,602,932,804,895,484,312,519,775,923,895,902,973,614,081,892,313,350,
470,771,552,126,937,048,024,293,633,099,223,230,772,800,423,794,805,240,632,
790,916,505,211,950,239,731,842,969,329,008,845,698,850,654,047,940,692,312,
303,342,666,573,951,292,193,383,989,538,083,098,361,618,291,003,882,940,333,
167,019,433,591,137,313,774,979,579,647,336,270,104,278,852,851,209,722,600,
768,418,882,997,433,826,491,769,798,034,656,755,021,336,701,947,466,877,777,
040,995,692,433,290,354,456,175,219,272,317,810,957,722,631,874,745,949,917,
082,280,251,875,051,420,129,787,376,517,187,408,678,871,278,239,410,068,699,
109,096,368,107,090,797,967,547,484,228,904,548,962,759,204,102,987,115,206,
134,868,882,060,877,654,578,023,254,406,956,009,978,462,216,150,982,211,300,
750,808,341,423,597,724,844,497,893,966,509,445,129,484,049,672,190,626,012,
284,760,693,859,725,923,651,226,635,283,590,796,338,740,209,143,423,616,915,
077,405,899,380,109,724,982,106,321,107,275,168,496,383,148,372,908,521,639,
817,153,004,597,473,122,534,565,422,792,203,900,962,056,923,105,581,806,365,
501,660,726,277,806,648,715,863,372,130,019,024,445,438,017,847,665,988,205,
380,465,134,240,267,729,785,174,115,681,359,366,110,737,519,395,120,526,792,
654,123,346,083,824,072,035,697,629,095,329,888,894,990,927,331,992,010,169,
559,874,471,922,359,840,530,178,566,007,728,930,313,734,077,185,544,566,532,
849,580,100,918,548,807,872,094,025,820,993,126,181,441,983,693,280,050,793,
856,670,936,953,923,431,750,633,257,011,356,484,904,929,431,209,076,453,408,
281,450,837,243,020,590,548,107,942,650,799,507,022,753,602,120,982,511,653,
883,590,233,509,179,486,482,770,292,225,557,266,631,885,338,881,040,833,973,
609,014,916,009,581,540,545,847,706,444,450,163,655,013,683,255,521,433,195,
926,066,102,150,047,981,029,375,416,670,102,477,819,871,553,748,384,217,319,
023,193,494,255,304,799,873,955,290,525,216,222,856,284,213,439,526,047,593,
510,984,192,731,703,921,963,673,831,219,894,954,252,746,958,605,876,283,526,
913,803,248,644,724,207,648,397,168,238,286,065,616,018,458,626,860,583,808,
445,865,260,543,066,529,121,822,135,463,454,959,639,679,140,815,437,829,151,
849,138,810,722,711,501,449,429,466,513,393,862,973,823,856,020,796,470,766,
390,390,808,113,774,126,132,161,096,664,127,581,744,306,655,270,062,448,665,
079,220,194,624,403,892,303,272,951,119,820,095,715,757,842,372,968,450,931,
981,109,675,713,032,973,636,118,382,597,865,657,411,791,911,230,915,608,906,
605,386,945,013,911,396,486,471,915,749,037,350,403,074,536,259,020,889,531,
326,514,569,376,507,611,010,248,665,294,666,978,989,558,754,752,831,505,871,
768,027,911,572,641,507,860,371,028,023,786,858,862,088,668,590,288,971,792,
051,224,536,144,636,970,382,333,274,553,962,981,934,197,278,400,680,024,250,
642,637,211,150,650,364,548,982,603,454,796,052,937,778,940,945,738,047,636,
630,017,077,543,003,240,844,081,719,881,044,994,004,619,166,926,455,882,592,
269,026,384,140,271,712,221,488,038,887,435,246,900,230,475,769,929,829,170,
414,570,209,718,747,166,837,489,293,528,976,522,237,015,681,358,987,940,606,
314,123,415,346,683,846,364,061,200,163,818,174,650,719,300,068,249,064,719,
295,120,314,497,123,916,537,160,552,388,142,491,007,301,022,997,158,005,063,
323,429,266,485,272,415,409,622,143,641,024,996,441,488,377,476,685,557,839,
973,649,306,815,600,380,127,428,802,087,397,578,998,082,843,645,423,873,378,
663,543,160,287,754,898,385,701,332,877,165,538,874,216,858,205,250,871,143,
687,864,648,219,783,568,090,047,755,950,160,504,560,907,794,600,122,909,358,
212,228,584,480,192,477,464,592,172,780,783,713,038,604,521,334,158,878,542,
747,906,179,921,394,510,121,982,197,007,660,152,557,553,900,704,462,553,664,
175,895,083,446,219,086,964,321,504,657,623,560,398,237,699,823,366,306,972,
394,264,587,705,233,748,351,673,275,575,018,052,520,754,424,060,888,775,372,
737,290,471,362,522,079,941,665,531,149,648,373,636,410,704,845,668,375,483,
698,211,747,453,909,674,374,614,776,194,038,487,123,586,920,292,151,928,451,
303,729,681,400,327,351,722,503,047,218,016,050,214,913,169,820,444,846,177,
840,116,484,050,688,218,234,892,399,001,801,531,508,205,418,027,124,311,835,
598,918,821,657,148,450,402,660,403,448,559,041,955,304,142,008,471,202,658,
354,272,416,916,501,993,262,001,653,907,249,951,114,073,161,716,505,207,836,
071,061,395,336,854,329,017,114,199,782,039,781,947,213,440,358,932,158,805,
318,024,183,154,961,404,234,075,722,438,800,100,578,758,369,407,454,621,117,
526,416,928,177,985,585,000,993,610,583,377,432,164,684,035,084,841,594,405,
030,453,463,804,637,946,575,371,607,116,650,523,084,047,172,450,066,286,336,
454,937,786,895,302,563,605,325,630,779,489,249,225,177,418,106,358,293,690,
827,172,606,538,140,770,549,770,568,351,009,803,451,547,426,086,371,635,421,
779,959,236,401,817,204,097,879,826,213,809,136,002,726,251,768,676,796,105,
008,098,892,661,273,838,518,612,612,291,646,666,339,993,138,338,814,244,839,
270,609,603,604,849,938,721,308,702,137,090,706,165,784,878,535,558,888,843,
099,918,100,354,110,204,706,302,893,188,633,758,461,707,431,727,706,633,465,
249,406,775,176,343,468,106,369,140,995,207,886,803,141,938,218,694,296,855,
274,095,798,168,855,656,726,439,667,478,371,454,950,017,545,596,570,355,810,
929,770,535,923,526,174,972,090,837,526,079,820,641,296,961,977,369,113,416,
634,218,500,767,763,644,812,868,732,651,101,384,380,587,602,555,671,618,581,
846,378,113,712,128,971,102,207,760,639,215,172,751,676,581,176,726,460,340,
778,930,425,688,386,409,287,217,209,839,561,450,450,577,504,926,895,490,553,
190,393,144,858,874,769,484,591,406,990,269,035,865,388,752,962,010,098,313,
073,211,441,336,137,882,901,665,517,045,594,847,594,401,898,882,025,798,279,
194,822,351,450,254,469,954,213,489,218,703,576,548,848,267,825,122,467,428,
075,339,311,972,105,850,355,029,056,367,290,629,325,673,690,362,499,869,101,
105,712,781,580,193,973,913,709,008,783,392,109,332,452,058,423,288,204,565,
257,851,169,822,396,291,161,449,763,590,827,387,739,879,429,545,538,611,751,
117,851,585,952,710,190,770,038,058,878,739,843,666,145,622,618,162,989,859,
730,392,874,514,053,701,872,232,492,570,990,866,545,826,610,186,325,188,854,
549,858,249,785,799,919,296,408,161,396,312,059,551,977,932,079,857,199,307,
146,162,611,579,456,345,029,687,060,787,601,490,184,538,774,584,693,461,554,
458,814,631,398,683,844,798,945,864,493,469,747,160,312,226,321,164,377,882,
071,603,524,995,153,003,573,472,278,131,094,838,134,262,803,970,163,626,555,
404,691,585,863,901,083,003,796,097,514,871,862,567,199,680,008,284,785,072,
032,341,175,643,157,391,917,617,726,940,840,329,250,706,869,909,899,968,587,
521,389,020,832,683,956,333,484,901,101,660,252,629,955,450,053,133,556,115,
626,336,145,908,117,763,601,963,922,667,780,864,142,629,405,853,052,590,740,
962,711,421,863,626,910,871,803,612,584,287,953,078,851,293,050,455,639,216,
381,633,879,095,961,784,847,009,228,707,194,363,018,177,844,032,327,737,438,
623,532,885,181,388,043,506,121,489,041,593,715,430,122,455,872,927,980,738,
473,702,797,488,679,192,155,984,344,155,134,974,233,618,608,613,248,491,160,
521,082,021,003,400,499,428,445,187,235,242,828,138,313,483,734,843,990,979,
039,352,190,695,451,009,160,641,742,470,676,047,469,985,346,644,208,948,972,
484,656,269,623,577,349,637,691,600,632,505,741,421,845,554,986,326,701,101,
834,586,384,496,616,003,607,327,267,938,078,121,378,693,611,536,871,431,322,
686,413,354,241,474,809,629,054,336,820,366,348,452,964,000,836,812,652,648,
428,842,584,655,866,746,776,752,960,226,762,352,491,374,939,669,613,760,318,
136,268,141,222,305,363,661,147,284,972,016,848,813,712,786,448,323,570,801,
602,440,523,592,890,423,674,497,811,862,928,183,822,117,198,944,893,303,998,
404,740,266,631,516,726,314,395,333,670,755,421,920,012,989,905,115,453,762,
261,233,340,353,833,593,468,039,586,213,273,134,731,033,339,248,913,155,852,
358,811,003,514,358,628,541,807,866,786,064,051,103,229,741,950,268,043,195,
127,594,236,576,158,619,385,078,792,366,925,397,469,837,994,371,632,724,684,
577,631,454,739,466,300,797,429,868,192,392,978,826,540,301,381,713,236,583,
239,162,306,383,881,831,921,944,775,441,447,229,786,261,161,476,693,218,910,
914,425,222,201,775,304,634,945,975,863,341,610,216,185,628,459,154,311,435,
641,195,352,454,534,459,711,910,477,834,990,176,394,854,512,508,618,466,374,
976,645,037,373,794,024,115,523,077,015,433,124,393,316,964,225,013,077,768,
596,173,678,027,838,602,474,519,040,999,987,599,078,595,738,829,387,618,096,
336,532,304,811,840,667,696,646,197,744,620,221,556,748,172,729,981,542,564,
352,867,987,267,386,852,196,184,546,613,270,835,115,969,457,679,072,179,924,
489,211,015,657,518,478,536,950,800,000,922,561,905,571,790,963,015,734,234,
783,645,070,448,496,734,958,286,862,356,640,427,774,093,003,497,853,754,739,
528,823,732,200,423,916,113,778,593,443,243,521,133,745,699,002,162,613,052,
057,930,062,712,218,282,244,810,881,611,135,374,508,565,845,377,065,370,620,
628,033,523,584,365,809,302,499,659,009,501,207,526,828,149,595,524,549,198,
908,890,435,659,604,762,926,165,207,948,714,733,867,393,590,559,915,619,399,
565,822,210,630,543,923,534,901,322,837,977,170,252,949,416,519,468,482,878,
902,069,531,640,315,752,171,694,914,462,592,066,993,313,726,071,757,757,107,
954,145,981,654,633,695,170,578,742,006,477,610,909,468,122,859,728,988,019,
276,549,874,098,661,808,593,459,864,760,596,267,151,059,167,802,174,806,826,
711,375,633,196,475,589,654,096,332,153,459,409,125,186,706,563,864,593,392,
278,245,002,037,198,156,281,978,432,426,994,645,726,642,654,330,773,592,837,
783,607,833,969,700,075,680,706,562,091,351,692,439,579,513,580,600,983,623,
240,371,369,382,954,023,486,285,470,359,511,731,305,627,370,719,845,597,065,
039,090,644,381,065,282,781,610,417,159,574,656,979,537,616,312,782,043,307,
509,437,209,794,810,674,557,425,711,401,879,805,261,662,815,478,152,893,729,
885,096,977,422,833,342,084,238,296,699,487,641,424,363,112,314,806,563,893,
518,903,548,976,467,830,566,330,325,094,065,197,585,092,435,696,173,761,477,
739,224,601,100,124,078,753,182,024,006,687,593,857,385,161,922,365,298,614,
547,347,967,809,730,436,231,167,963,726,291,767,591,033,256,325,385,549,960,
914,785,065,588,072,933,488,179,182,208,157,455,593,128,904,751,905,714,045,
985,084,310,199,806,897,004,553,103,532,267,092,617,777,946,180,900,240,069,
326,953,040,787,541,520,942,368,333,806,589,601,840,514,220,936,465,273,144,
690,442,778,837,956,480,286,920,521,104,247,011,578,560,118,162,819,717,725,
732,367,714,991,889,721,457,045,401,645,313,286,244,326,676,718,124,039,869,
028,730,907,471,900,485,674,218,255,438,510,749,344,399,883,152,837,470,212,
304,541,679,533,865,971,258,655,954,789,776,203,499,820,942,239,240,040,003,
539,720,331,348,698,086,711,533,598,708,300,563,618,737,204,228,089,170,703,
625,267,759,014,543,426,099,349,367,507,263,680,349,692,917,383,506,271,166,
049,347,979,084,249,822,585,182,987,217,043,813,488,609,143,007,642,081,289,
277,116,907,622,505,253,500,829,612,626,084,915,642,867,053,221,457,766,185,
478,275,235,345,887,887,656,612,277,577,680,521,113,122,081,723,189,362,178,
288,816,956,136,714,598,754,834,536,469,878,653,190,269,494,997,220,459,986,
799,826,703,605,249,237,355,835,970,454,101,015,878,889,031,446,464,562,022,
841,959,361,583,195,106,579,618,154,747,421,523,195,468,985,687,124,410,234,
008,151,869,994,949,657,689,598,742,961,891,306,135,619,334,628,581,515,623,
081,767,360,123,130,623,424,913,941,821,099,428,950,560,289,660,320,088,648,
686,897,186,670,191,190,238,881,326,046,765,283,879,725,791,268,440,775,744,
739,652,050,595,038,874,017,223,192,223,858,336,179,081,917,777,309,129,523,
607,048,071,761,472,327,371,464,864,454,659,430,662,777,107,184,065,765,871,
261,578,196,513,073,515,634,779,830,846,405,836,783,051,742,186,989,145,128,
828,413,930,828,597,126,874,827,337,623,637,008,209,534,568,561,251,502,600,
735,753,107,693,810,193,509,381,389,832,116,802,284,658,005,436,113,400,698,
889,046,607,741,375,753,395,155,299,566,620,590,786,764,906,501,291,796,090,
505,526,592,688,831,379,370,073,820,020,539,299,954,547,749,390,043,722,934,
282,567,631,204,095,150,745,054,274,883,418,927,103,813,189,714,140,279,796,
069,242,508,568,886,092,407,696,982,119,332,657,723,612,247,183,957,149,911,
622,631,516,905,070,560,516,280,978,749,496,225,968,928,683,500,267,228,975,
687,067,178,159,009,568,662,273,202,054,885,340,412,228,369,069,868,606,585,
766,497,382,406,455,641,328,384,971,817,977,474,467,713,443,749,459,502,297,
883,244,707,912,216,811,048,803,550,015,195,983,459,508,746,580,056,179,858,
122,944,141,684,816,253,870,902,970,213,998,749,551,497,294,531,515,212,282,
808,614,128,349,788,385,839,484,342,152,051,448,127,069,111,986,737,991,148,
828,425,987,985,902,613,143,431,365,554,989,170,081,724,965,908,090,874,251,
929,509,957,271,936,424,056,843,763,115,144,417,705,382,752,150,452,636,312,
705,123,942,523,294,054,383,870,784,470,998,109,336,050,044,927,676,480,153,
378,522,764,791,936,808,373,681,614,389,558,902,172,350,031,534,401,471,273,
705,178,716,529,715,132,793,394,870,624,048,675,895,794,222,490,659,297,311,
550,812,354,927,681,765,015,987,044,528,959,199,548,133,778,125,949,288,485,
160,731,510,794,455,173,843,752,233,755,291,000,466,648,015,924,141,118,345,
825,427,978,742,514,707,804,767,910,571,609,071,997,716,826,119,413,962,248,
730,627,530,318,119,934,066,949,839,509,973,230,474,937,855,376,191,390,405,
939,546,891,010,721,469,454,521,950,319,593,155,344,588,097,734,828,038,324,
194,554,727,818,092,294,063,720,776,199,044,300,795,911,311,551,028,431,293,
009,759,374,552,218,345,893,443,686,336,311,820,972,554,839,599,236,460,109,
513,859,844,478,056,081,223,442,015,808,702,652,594,270,308,296,545,617,220,
198,895,226,149,503,570,637,412,362,666,964,666,278,355,318,345,977,086,473,
400,346,064,127,430,643,433,764,548,563,277,215,008,860,059,243,392,556,221,
073,901,239,304,998,256,856,772,297,581,538,621,655,726,004,395,386,385,755,
926,293,239,985,823,332,908,124,814,998,304,582,660,235,897,851,808,281,438,
217,806,049,208,310,797,901,862,001,477,099,942,738,430,269,873,974,022,499,
566,211,676,450,197,107,930,343,359,247,287,679,667,121,192,927,100,443,446,
646,073,545,775,820,488,480,667,191,319,563,041,936,639,755,274,772,167,671,
672,830,367,153,150,750,125,033,410,989,949,205,001,301,793,276,030,254,551,
474,604,577,736,389,495,041,091,925,614,167,737,103,958,165,621,128,887,035,
693,938,026,439,105,499,405,438,524,136,201,225,702,174,264,204,379,908,623,
892,123,171,808,539,087,447,414,387,983,537,001,678,986,845,690,920,749,025,
785,703,687,044,471,170,751,415,839,103,801,017,363,460,980,680,464,985,688,
580,291,044,568,143,148,365,750,956,869,747,648,827,934,634,055,051,251,763,
512,099,441,443,430,736,060,127,385,568,476,211,261,475,018,652,195,377,447,
282,700,561,689,946,057,381,134,021,965,659,901,296,092,964,664,029,061,790,
731,404,243,635,610,198,408,782,670,500,342,089,490,052,628,968,129,648,623,
150,716,748,157,722,751,609,734,512,516,607,895,313,490,874,486,194,741,312,
607,543,680,788,069,146,433,931,427,308,868,004,231,875,181,234,252,722,767,
038,707,821,995,577,387,419,324,774,307,023,618,761,644,810,544,248,934,436,
790,078,953,125,030,952,942,377,555,669,663,089,555,657,337,697,390,869,232,
038,582,234,358,649,292,865,919,018,002,653,155,486,843,270,754,190,105,257,
053,312,815,352,371,612,780,091,737,994,091,854,432,092,564,911,651,211,290,
795,848,440,979,557,955,682,247,668,469,875,338,424,096,641,482,803,507,555,
155,445,970,983,921,244,498,714,031,531,259,371,119,789,166,572,776,333,718,
861,228,975,794,608,151,674,630,110,068,440,238,903,500,569,119,582,026,517,
789,062,332,732,548,806,991,402,464,467,709,242,682,973,769,553,903,540,135,
208,960,796,292,985,708,397,102,647,784,824,241,121,910,073,895,590,384,057,
420,845,264,919,032,975,167,980,280,660,526,289,878,528,519,997,745,015,651,
635,453,812,494,818,680,908,842,772,477,768,208,197,427,437,671,255,861,993,
575,038,261,030,700,381,014,020,291,598,752,298,408,660,849,005,967,054,721,
349,335,674,994,508,462,095,603,196,155,066,764,840,735,857,075,204,595,745,
034,875,257,883,913,999,162,210,473,291,139,991,044,125,940,808,385,054,743,
952,579,734,843,715,540,577,314,204,950,105,431,377,427,463,112,276,000,256,
847,541,798,755,887,241,740,485,261,546,055,628,580,511,102,887,857,487,574,
610,372,782,082,188,141,261,560,478,768,357,997,219,257,581,752,019,584,154,
508,673,868,516,801,419,543,737,473,484,299,293,563,923,441,144,192,317,500,
704,430,895,117,891,970,338,445,148,620,949,042,709,531,453,496,699,446,760,
271,226,711,646,525,135,628,371,431,324,183,201,066,327,298,731,909,532,464,
468,005,730,467,014,852,874,049,225,664,055,421,743,737,716,456,410,600,179,
125,465,847,317,530,231,562,542,670,149,663,355,183,540,174,718,458,010,726,
231,075,592,049,897,671,464,872,812,934,894,264,613,488,685,866,297,542,792,
965,645,013,160,338,651,107,833,611,332,715,316,238,614,186,331,570,618,461,
325,725,476,283,105,334,374,704,437,399,468,002,055,211,444,998,399,900,004,
802,543,305,551,472,937,249,414,144,394,211,575,302,211,352,109,032,101,779,
801,691,527,829,754,605,035,703,751,787,134,334,385,343,185,574,158,093,969,
297,863,486,340,822,863,604,510,706,838,406,730,856,460,702,297,325,846,108,
821,629,241,164,873,619,633,364,468,592,016,136,893,517,302,104,387,998,429,
254,709,216,187,571,469,974,433,131,537,014,520,515,208,998,188,503,817,932,
376,916,724,639,655,713,633,843,444,660,133,279,856,276,027,311,424,480,044,
734,490,562,484,438,918,766,977,255,391,419,275,289,812,942,583,890,608,070,
974,003,315,564,394,538,403,948,777,529,620,738,875,289,898,833,799,048,803,
494,293,414,907,918,753,686,165,569,843,707,013,478,243,963,297,763,970,945,
887,068,745,678,364,632,406,815,724,958,701,597,552,928,358,092,409,032,190,
720,244,503,571,599,764,242,322,130,937,884,833,224,233,267,360,783,668,682,
767,090,022,062,895,397,063,439,665,477,638,134,490,450,261,685,958,785,861,
521,859,525,023,776,684,836,935,922,662,053,622,678,182,432,992,735,198,694,
575,292,189,997,740,850,259,686,747,281,187,328,243,227,000,314,921,659,921,
509,673,605,107,742,514,664,041,764,413,633,507,001,049,991,044,109,966,741,
871,307,297,509,780,136,294,005,880,075,966,248,927,169,871,339,463,720,513,
537,610,724,900,872,465,363,234,182,586,617,895,614,276,346,602,574,812,880,
534,133,348,502,756,441,613,967,785,192,489,188,738,774,579,937,511,147,349,
017,245,238,412,205,682,349,095,831,743,894,240,881,849,537,854,157,255,326,
540,710,201,750,501,093,641,841,834,227,900,538,762,463,804,992,896,876,122,
184,385,359,493,413,184,734,065,841,810,245,501,561,761,133,153,021,935,917,
811,244,793,487,871,523,183,162,556,098,236,389,084,556,200,379,166,304,557,
319,224,319,845,002,536,336,809,908,731,921,809,345,389,479,800,483,015,731,
971,167,714,368,384,379,282,426,071,742,158,983,027,687,225,151,008,662,509,
259,068,735,670,443,398,472,418,047,601,650,152,294,523,604,449,892,770,228,
360,654,814,631,337,375,073,295,659,976,914,867,386,309,574,766,783,242,614,
243,183,115,625,236,103,065,105,387,847,820,446,265,933,133,408,880,903,686,
401,462,161,866,996,814,881,788,763,445,116,666,089,656,715,553,102,659,084,
591,564,258,768,151,364,167,589,545,210,852,532,476,157,094,512,116,808,140,
177,929,590,502,675,274,403,558,841,263,227,056,504,972,308,611,544,526,920,
164,399,035,374,810,005,459,519,335,878,904,148,014,444,824,224,004,174,591,
553,068,755,577,734,662,969,204,981,096,768,305,857,345,380,263,545,561,379,
365,989,116,666,353,891,404,005,853,536,485,784,805,641,417,937,447,398,214,
169,927,895,317,414,405,832,193,663,364,159,711,991,166,034,098,334,232,485,
135,852,253,030,543,344,168,310,934,146,815,364,938,199,757,038,391,230,778,
326,126,146,617,988,498,661,185,362,667,020,237,708,278,996,616,699,382,847,
044,982,620,874,964,131,704,984,470,226,223,264,837,516,545,895,369,229,404,
242,084,468,429,223,627,493,401,190,855,001,683,773,598,402,463,391,943,851,
075,121,547,615,540,720,745,716,366,349,286,100,013,018,478,175,372,493,005,
405,528,710,497,424,579,968,373,507,108,464,518,111,311,673,916,981,505,416,
382,217,561,768,235,761,947,959,860,590,671,842,725,236,677,467,992,796,978,
429,474,990,803,833,145,552,619,085,587,175,044,762,117,198,385,499,993,498,
435,232,664,080,277,274,271,787,105,824,615,628,002,257,049,709,613,032,565,
123,426,747,869,518,171,664,384,010,815,203,840,486,024,870,678,763,947,143,
902,872,232,508,761,898,585,787,217,336,138,839,227,703,828,677,812,164,740,
047,138,942,261,178,324,449,802,099,531,888,095,909,629,143,632,577,957,576,
492,777,375,213,379,328,137,750,154,511,195,179,381,174,006,162,725,839,264,
179,734,992,752,221,973,269,843,742,555,824,700,422,137,782,828,645,042,088,
626,961,622,324,684,053,416,505,959,917,553,774,446,523,113,738,747,359,335,
860,174,370,278,975,514,351,744,224,795,825,025,873,877,088,433,292,214,766,
261,171,879,068,377,796,309,690,579,008,480,667,994,918,399,502,342,878,796,
445,986,035,255,565,486,755,277,948,866,497,076,780,599,167,845,081,923,775,
351,588,259,034,701,022,273,087,451,024,943,033,547,646,525,230,788,017,999,
242,553,210,713,764,949,416,426,583,017,957,202,070,014,574,001,130,125,441,
323,408,819,606,595,498,503,229,742,874,212,368,369,903,216,408,940,997,285,
316,916,607,589,077,687,054,396,041,971,769,132,377,604,266,455,685,490,961,
523,353,925,863,641,433,289,822,759,681,353,425,809,854,559,071,914,155,903,
282,226,981,610,587,930,555,956,959,419,485,407,604,871,627,807,326,460,455,
166,762,966,735,065,359,898,953,085,833,296,518,504,665,011,479,097,511,442,
157,970,517,923,970,141,696,165,128,739,960,409,209,717,029,887,899,803,747,
003,426,952,899,108,932,575,679,556,608,580,749,688,210,178,243,713,390,653,
916,011,432,972,646,657,508,172,861,709,922,699,201,897,221,253,524,558,185,
566,981,551,773,128,004,134,224,121,219,808,187,712,758,738,327,764,795,904,
162,866,270,498,373,028,773,082,077,211,850,137,392,032,550,671,195,239,685,
565,815,375,563,571,370,011,216,101,119,613,933,731,500,523,445,057,068,363,
979,407,180,075,123,608,732,728,974,905,336,944,497,224,447,828,500,817,911,
074,447,807,300,264,642,112,636,459,421,619,659,662,996,015,101,512,171,510,
020,530,693,396,157,978,938,234,223,546,947,405,672,258,471,413,817,962,830,
792,477,600,017,977,548,444,698,963,494,610,137,741,133,514,753,884,478,438,
170,590,449,234,272,230,385,847,300,087,712,484,028,883,232,735,201,169,666,
722,275,153,118,988,066,085,599,061,822,931,361,561,027,020,870,960,701,435,
475,549,561,988,833,970,842,599,670,426,850,570,742,647,289,248,890,659,069,
216,566,363,981,287,463,385,631,069,487,546,029,378,457,906,271,052,934,261,
688,066,057,911,289,328,085,755,458,390,011,772,642,679,561,474,611,250,653,
250,569,717,941,226,784,039,309,077,439,121,105,407,088,710,833,438,419,723,
877,007,586,159,389,331,717,787,665,068,886,030,025,624,415,919,622,255,740,
851,150,851,015,922,153,108,079,252,507,790,610,333,276,924,897,075,189,146,
477,378,558,141,468,792,592,940,227,408,188,660,580,783,469,505,835,252,739,
224,222,526,854,831,344,165,056,522,443,726,843,379,005,351,797,492,239,387,
068,466,171,224,152,268,066,313,267,603,913,518,867,851,442,798,877,226,022,
777,673,397,440,316,906,606,510,972,750,585,886,043,044,551,966,799,790,679,
557,438,524,224,703,708,736,242,682,623,240,750,874,753,433,697,226,478,369,
050,969,297,402,942,827,446,900,184,600,247,541,617,541,094,655,872,885,984,
980,702,873,297,868,391,382,325,517,793,856,789,260,498,391,018,933,654,550,
655,645,349,850,750,362,753,632,604,174,453,752,075,062,091,470,903,772,867,
515,064,270,575,957,691,528,838,353,721,142,072,113,762,689,177,420,799,123,
293,358,420,922,619,210,109,828,900,844,088,628,140,575,409,835,802,970,794,
243,103,043,268,708,321,732,276,181,660,897,912,724,398,045,006,146,755,183,
644,770,856,922,884,834,641,590,272,893,235,135,439,653,433,876,200,301,166,
114,282,006,513,729,548,469,931,493,388,478,299,489,667,426,645,976,802,189,
002,361,844,246,807,202,712,253,203,104,685,726,883,407,327,188,714,413,494,
549,959,947,822,719,402,033,142,927,151,196,872,546,419,088,143,682,206,720,
681,708,700,214,497,103,672,906,311,662,028,443,578,891,899,896,981,703,570,
709,028,743,624,486,061,803,127,944,050,340,526,404,332,148,133,089,735,953,
002,378,727,052,175,933,354,001,556,998,510,244,340,505,618,596,963,895,075,
116,421,994,489,889,086,263,662,644,848,654,165,819,740,074,080,543,290,024,
814,014,059,453,374,359,792,022,929,928,298,803,238,864,481,199,851,430,483,
324,112,297,849,442,888,524,352,524,743,452,969,572,965,655,041,437,378,904,
354,593,318,556,146,468,694,581,915,629,306,343,391,688,417,479,762,259,982,
353,752,226,500,177,062,845,071,825,822,425,252,231,420,353,144,553,822,190,
519,675,472,495,338,034,882,373,582,815,694,127,767,527,649,843,658,393,789,
701,475,448,404,706,582,843,181,281,763,916,847,966,110,047,186,847,522,114,
193,679,179,264,698,951,363,524,331,578,611,887,243,636,904,420,271,379,134,
002,407,478,363,820,035,950,137,894,386,382,810,976,389,966,780,709,904,205,
184,247,942,950,883,083,367,694,785,055,461,711,787,190,338,696,034,563,037,
739,828,924,483,753,896,734,409,477,743,725,362,597,079,255,722,699,422,810,
753,204,979,535,116,553,142,328,739,100,637,568,602,297,423,062,055,109,882,
008,763,216,325,058,673,263,986,303,370,240,996,907,571,541,007,816,062,447,
936,748,671,006,556,030,390,724,175,913,674,640,241,041,630,863,486,946,113,
679,754,470,249,212,825,079,609,876,128,882,240,435,285,092,891,014,370,700,
908,709,947,400,906,349,753,651,593,249,291,140,036,459,831,435,733,071,871,
097,004,968,178,559,540,215,061,486,852,009,350,671,749,362,274,689,099,066,
208,406,565,243,872,132,696,032,065,700,819,436,741,763,259,118,351,660,580,
860,157,854,075,655,670,463,966,772,975,987,960,468,610,076,092,856,948,208,
542,281,196,090,008,357,529,039,363,637,955,584,086,115,249,334,672,089,823,
109,153,421,248,610,625,790,453,333,340,582,862,454,692,120,735,225,378,593,
891,577,177,343,534,180,182,741,576,039,181,308,794,605,063,641,093,253,115,
598,866,042,033,449,224,877,068,835,791,846,592,197,022,827,621,671,542,754,
881,438,108,551,699,557,185,449,860,251,303,564,859,521,254,109,170,866,580,
615,536,228,174,632,765,287,670,264,953,121,036,586,840,238,497,470,097,757,
793,307,662,980,547,859,740,951,848,171,011,566,891,158,420,396,419,430,548,
622,118,429,249,172,126,070,327,893,099,463,570,690,364,721,590,421,849,027,
406,221,106,742,662,148,772,102,765,572,561,947,536,284,140,592,443,586,220,
783,927,279,985,841,928,682,710,154,697,522,474,941,418,408,426,619,543,473,
509,265,012,737,941,355,717,566,193,985,426,649,334,370,753,081,352,441,124,
168,044,182,055,379,842,906,684,884,654,518,704,923,478,184,619,573,972,076,
088,376,641,045,818,790,458,958,150,334,417,184,199,213,812,248,327,093,976,
439,214,009,131,184,015,650,085,468,889,811,173,605,630,519,736,926,553,335,
875,241,921,038,942,647,604,554,809,235,581,770,751,494,602,452,994,038,695,
221,329,262,311,849,068,605,173,023,516,715,613,537,611,202,623,538,552,838,
781,227,637,629,064,551,237,064,324,832,405,973,815,189,400,615,198,368,234,
624,905,239,745,438,708,536,492,598,646,376,322,393,762,383,722,210,420,154,
759,511,744,423,948,602,339,929,605,827,847,254,498,539,949,999,814,672,948,
373,329,682,816,286,362,179,744,300,432,131,861,007,099,398,626,940,127,152,
457,998,342,941,992,234,755,643,145,442,322,293,940,239,363,982,142,841,469,
282,454,638,498,393,352,385,593,113,454,048,016,949,057,602,226,829,472,709,
373,721,970,106,445,809,261,833,232,858,759,739,566,513,807,474,039,470,123,
736,897,397,058,107,315,497,482,663,680,806,342,114,431,576,549,092,127,344,
472,870,603,037,945,471,862,557,638,590,490,470,697,377,037,789,742,164,423,
948,660,429,254,807,063,854,762,965,607,097,320,185,331,211,537,126,458,037,
581,843,184,524,858,089,052,759,066,994,608,043,060,582,748,696,911,443,794,
463,869,954,603,354,606,706,258,768,827,870,067,381,224,597,383,850,845,462,
351,489,158,554,909,309,259,083,515,618,758,470,444,108,282,919,193,229,427,
282,704,902,730,147,889,552,323,904,109,896,499,144,889,161,412,455,116,088,
539,651,605,574,648,529,767,906,044,600,915,655,065,989,025,816,528,036,772,
827,009,398,351,477,807,691,004,952,265,429,570,987,441,465,309,912,301,621,
823,967,817,576,858,604,879,766,710,340,602,728,763,280,379,459,021,828,720,
764,554,403,861,169,121,215,262,390,607,684,132,315,515,265,037,382,068,865,
716,854,346,841,382,971,108,180,722,797,942,286,707,299,752,356,099,201,475,
093,733,667,359,342,938,853,780,825,622,117,687,726,346,324,317,343,131,566,
197,086,771,108,227,276,069,836,271,885,888,875,473,216,747,246,260,155,376,
480,252,438,101,575,170,668,533,902,157,631,158,734,088,573,384,652,677,093,
757,807,200,290,886,333,650,669,241,797,952,511,615,718,360,227,674,484,984,
503,520,979,070,942,374,949,720,789,504,063,277,985,757,478,558,935,325,601,
322,321,634,765,931,095,110,783,651,274,572,564,815,124,580,671,301,110,642,
327,940,630,113,601,023,403,273,299,072,258,150,496,135,406,930,117,880,641,
872,330,231,703,929,091,176,752,710,431,207,321,218,732,683,272,468,651,720,
877,183,368,405,652,791,921,284,696,195,153,699,656,049,146,856,135,467,469,
112,185,170,677,704,314,910,580,622,752,601,630,190,119,190,390,824,930,691,
264,237,631,902,943,293,884,097,479,675,544,982,497,037,530,318,746,406,197,
704,879,193,104,443,164,547,494,314,911,734,797,532,817,066,220,378,657,047,
521,019,464,150,103,068,383,985,596,214,963,026,262,161,286,483,119,233,609,
128,300,603,996,248,807,273,065,242,850,027,353,159,971,780,914,056,980,268,
342,421,239,437,488,773,394,431,513,905,434,705,538,257,437,646,735,725,608,
524,182,915,636,863,290,159,459,636,906,506,173,237,718,321,923,178,995,538,
871,284,932,042,343,365,660,613,426,753,951,721,559,487,459,984,031,620,701,
859,183,684,867,892,341,488,775,095,554,070,964,563,727,236,787,928,683,012,
598,418,703,081,130,179,687,171,486,153,350,701,121,509,703,221,094,642,684,
556,065,833,211,380,031,296,881,613,367,359,249,782,675,892,052,073,594,618,
741,780,806,070,332,567,106,492,460,232,663,508,361,908,599,578,886,698,328,
803,638,955,893,336,885,693,018,730,620,614,072,156,734,216,253,886,090,554,
130,573,398,259,620,577,256,147,589,716,947,829,510,079,334,254,208,455,685,
508,557,574,858,028,190,843,703,498,598,034,008,976,657,710,192,238,563,317,
106,156,894,069,462,904,079,788,229,334,680,823,138,862,366,681,120,054,943,
875,887,529,910,120,109,757,283,474,596,246,134,689,941,178,910,585,263,976,
534,349,301,075,728,939,905,360,261,564,155,671,761,973,682,248,739,638,195,
724,231,873,636,193,303,669,191,849,523,583,165,144,224,943,912,854,332,713,
088,214,367,179,027,633,695,150,225,445,663,875,258,498,778,927,768,415,649,
043,979,715,773,980,211,551,582,464,290,476,027,980,541,797,635,019,163,256,
159,289,048,700,116,085,184,512,991,257,374,958,951,063,294,162,470,767,314,
489,389,907,598,405,323,092,010,885,314,799,011,471,059,996,459,388,559,395,
935,801,043,647,231,001,334,200,537,018,515,817,398,439,893,505,827,203,992,
516,788,629,566,988,069,828,891,256,088,983,025,650,025,842,444,315,630,230,
280,384,149,080,364,182,139,221,839,229,963,041,406,955,434,999,254,262,447,
971,186,195,977,444,542,667,256,822,875,178,638,287,628,285,447,095,354,597,
406,615,116,869,077,259,349,297,262,203,943,805,160,071,313,787,101,418,403,
364,649,133,379,669,387,290,894,172,264,899,105,421,161,111,506,995,742,146,
467,838,687,846,247,440,836,388,241,900,466,549,281,484,036,046,853,320,554,
900,528,949,926,735,557,126,662,558,057,255,464,013,698,760,134,920,610,919,
280,951,288,490,433,300,906,664,465,057,471,879,419,727,634,426,930,370,602,
700,192,437,586,020,206,544,434,509,509,699,626,284,965,261,485,849,228,626,
721,565,686,764,104,298,030,276,696,097,818,668,785,813,849,754,942,319,946,
273,217,640,665,318,470,369,933,630,773,699,297,626,406,312,110,850,080,438,
042,983,337,126,304,590,914,482,103,490,322,061,772,841,676,710,836,779,302,
105,058,758,449,692,494,724,705,010,591,442,581,443,331,286,229,692,266,964,
512,292,568,601,083,447,879,689,798,909,792,302,484,964,204,280,390,902,061,
280,327,540,532,166,047,289,987,486,672,632,428,966,099,203,270,655,310,743,
350,552,999,590,366,276,682,586,191,797,198,754,165,831,106,007,486,808,367,
140,808,025,078,614,675,969,845,816,490,611,192,594,751,557,605,294,295,266,
637,996,631,507,166,924,930,457,196,931,472,926,003,190,340,147,435,778,437,
693,442,196,921,162,612,225,853,526,743,172,496,274,330,359,193,922,792,853,
550,184,069,136,376,491,181,783,526,610,349,580,709,057,828,704,046,220,737,
591,756,184,662,687,349,060,833,168,351,396,185,017,418,555,656,776,528,929,
215,580,926,006,585,804,885,123,612,465,932,873,605,510,847,319,972,886,027,
626,045,112,357,143,784,094,738,058,842,996,683,097,520,600,508,019,255,978,
104,929,332,448,490,492,597,640,728,009,670,088,823,974,414,136,080,718,881,
980,467,712,763,653,446,550,752,570,787,372,273,408,924,471,410,705,735,595,
496,048,506,670,696,637,256,007,924,183,004,077,266,663,949,435,106,154,974,
805,303,397,790,567,853,214,424,756,756,926,352,237,624,104,821,146,517,050,
823,505,061,866,515,253,882,454,332,522,393,208,721,840,681,210,026,670,473,
578,509,190,332,683,345,043,999,829,170,695,311,597,924,471,761,764,353,592,
956,720,433,171,861,833,091,507,672,188,557,941,889,433,066,698,672,688,032,
649,910,734,498,319,181,761,715,996,284,123,610,076,960,839,912,351,846,504,
889,280,790,099,896,841,211,075,616,110,192,087,635,181,066,673,635,777,601,
812,309,736,193,260,652,302,450,928,535,234,194,840,609,628,036,533,351,663,
866,992,811,391,213,597,322,269,780,443,558,744,634,989,421,354,561,568,148,
906,230,811,630,733,020,142,201,229,069,919,919,768,423,713,363,205,156,310,
497,865,691,057,303,781,657,036,333,337,126,989,597,561,208,216,343,957,496,
702,747,150,033,693,487,535,695,519,932,443,694,589,495,797,762,049,378,816,
711,900,161,698,830,050,887,792,278,296,227,772,006,007,722,892,159,519,987,
823,243,958,755,667,446,246,774,759,124,026,379,220,475,533,250,663,042,748,
683,601,746,705,186,774,920,504,669,870,529,993,191,148,756,021,868,597,090,
994,486,695,267,888,061,639,144,921,768,806,507,540,298,136,191,343,342,966,
777,703,226,227,772,668,830,565,234,050,908,827,794,275,008,386,400,373,238,
413,899,901,016,253,284,701,558,884,196,458,473,237,977,879,882,630,517,519,
112,407,184,039,103,083,766,919,301,785,030,892,138,311,046,202,724,170,775,
802,769,487,720,726,610,202,709,670,313,830,791,908,448,705,382,502,647,574,
969,251,301,050,713,853,394,574,978,979,083,609,622,376,911,274,189,059,450,
486,428,694,411,167,713,461,262,744,784,610,731,773,395,256,575,123,259,560,
823,208,744,716,759,986,540,541,008,930,009,986,365,332,479,227,952,155,159,
707,445,539,150,075,908,240,413,219,864,299,724,006,203,787,561,462,320,754,
910,492,080,690,061,940,391,054,683,066,101,430,351,348,893,000,223,740,843,
339,568,830,320,575,685,487,049,097,491,496,931,242,070,094,915,113,021,620,
243,575,930,890,599,716,633,824,363,827,117,285,561,698,816,281,230,507,239,
845,190,587,459,573,475,867,171,657,275,386,635,066,878,580,894,335,473,105,
219,150,908,221,009,690,239,825,295,258,112,949,393,683,340,441,612,520,751,
847,072,652,270,082,193,382,100,329,730,480,688,049,978,679,520,405,926,335,
280,410,779,386,660,902,666,343,303,296,407,068,036,116,449,673,326,931,719,
897,421,751,981,149,155,423,136,675,131,907,367,415,763,578,865,922,680,068,
238,074,991,008,227,393,266,005,102,199,552,815,078,616,679,378,755,061,983,
690,661,901,052,099,121,078,428,090,542,928,463,020,201,474,847,152,864,763,
368,433,729,958,532,260,438,042,012,117,374,689,259,119,510,761,689,640,635,
447,021,212,210,628,069,757,552,269,454,438,712,545,755,420,315,455,991,340,
400,517,498,200,445,159,429,520,653,295,525,367,638,285,884,469,479,964,289,
478,134,866,499,452,019,712,771,366,514,676,750,095,217,466,960,997,920,654,
327,476,969,493,004,422,491,863,375,400,686,474,396,852,597,398,505,026,229,
607,134,462,723,949,164,494,082,876,809,577,627,708,077,464,553,201,191,520,
128,971,833,303,891,198,081,512,253,041,999,208,952,997,474,041,564,570,972,
718,491,370,683,109,305,172,330,767,060,888,901,844,266,672,986,487,258,365,
166,466,447,233,885,978,483,385,126,525,949,092,706,446,121,038,827,133,128,
389,930,133,466,282,623,247,869,267,157,842,075,043,675,373,596,225,671,837,
360,659,062,901,303,905,499,200,333,626,042,754,324,237,338,030,010,993,014,
703,439,668,295,145,914,970,614,370,101,991,159,575,653,114,154,083,738,261,
179,807,655,925,856,285,174,453,567,944,373,102,858,908,395,021,570,220,875,
826,550,415,992,963,609,288,377,200,858,968,830,436,060,751,292,427,882,750,
259,791,287,727,485,246,873,327,990,745,532,828,013,691,718,299,489,574,030,
652,749,821,681,569,020,951,295,519,966,871,447,323,317,681,947,750,728,002,
772,368,998,434,616,872,911,738,617,606,334,342,277,607,964,273,058,735,356,
189,752,735,176,729,884,023,270,702,527,713,719,161,707,796,712,911,118,229,
499,618,206,166,301,166,625,607,132,950,113,577,542,358,328,966,653,888,965,
890,563,561,638,001,539,078,872,196,137,631,447,064,871,327,799,072,279,405,
531,948,490,210,134,154,778,917,897,169,353,859,620,715,393,419,783,800,388,
760,291,783,956,774,313,300,470,677,467,983,666,713,015,965,917,673,906,674,
211,913,949,905,144,550,227,810,789,068,889,372,362,926,327,726,408,791,853,
411,064,876,458,324,261,727,448,082,398,158,126,189,638,992,933,345,762,769,
196,803,999,723,859,934,381,749,931,852,665,445,379,880,235,099,769,015,460,
515,635,834,203,709,302,227,372,458,507,076,654,263,506,426,674,155,022,176,
094,626,823,009,299,756,342,504,415,451,503,249,630,460,063,746,218,570,317,
874,838,670,058,826,232,643,735,383,034,493,688,803,281,817,866,125,844,516,
428,383,011,800,032,874,792,294,847,950,741,703,589,891,466,350,818,204,781,
762,594,471,690,747,946,055,100,303,445,736,449,145,175,667,889,655,147,202,
630,657,163,308,039,186,120,635,286,609,832,536,048,052,782,617,376,828,829,
241,658,546,852,041,682,057,582,416,627,916,479,237,131,101,287,275,906,854,
085,006,226,770,495,159,524,363,628,568,534,055,606,768,359,005,508,053,332,
430,577,700,003,933,138,071,742,927,608,873,862,305,665,455,717,545,413,829,
394,781,195,364,506,553,799,074,210,751,601,911,899,199,576,273,612,774,049,
980,011,265,693,341,094,601,191,878,032,138,216,805,951,150,642,014,568,900,
531,190,440,180,389,700,147,717,417,887,000,870,926,734,964,297,206,801,321,
912,552,438,880,370,194,520,808,881,905,379,372,146,853,505,106,408,300,032,
121,439,248,548,974,147,262,685,180,056,272,993,090,148,662,907,197,017,983,
432,738,904,381,500,928,821,280,890,406,787,809,842,375,130,622,238,214,768,
405,367,203,917,917,198,102,897,293,606,824,659,635,405,670,033,601,385,987,
616,171,534,564,442,612,545,262,705,893,015,444,715,353,800,163,215,298,954,
597,071,610,502,974,717,178,651,141,896,961,136,955,343,612,080,199,325,816,
032,703,784,126,989,476,179,099,470,289,521,954,278,851,267,379,302,138,099,
346,287,342,832,939,799,577,293,929,861,066,947,376,039,190,204,245,875,199,
007,286,785,666,942,522,413,735,756,982,279,036,840,863,403,640,494,100,941,
474,753,286,717,731,207,335,280,063,930,532,628,653,292,926,192,456,814,500,
929,550,556,460,750,045,704,335,782,404,307,312,583,096,067,792,065,623,905,
822,814,797,816,290,116,614,695,328,608,917,585,565,220,795,827,440,052,191,
839,505,569,815,464,320,330,872,338,069,741,165,291,251,366,128,615,938,035,
448,336,923,541,838,854,750,717,139,379,409,293,257,846,806,429,804,525,348,
250,089,345,995,941,452,289,626,131,626,569,126,691,965,430,920,831,812,426,
248,550,159,970,154,127,563,423,824,031,706,478,558,025,648,232,981,498,861,
874,196,882,831,906,428,859,729,094,200,244,589,096,572,943,645,968,094,839,
795,933,253,247,789,767,596,323,018,988,953,256,585,691,344,193,147,702,934,
924,009,963,833,094,191,181,286,093,932,853,995,139,833,509,722,858,836,476,
045,316,437,132,082,455,526,751,982,529,001,971,135,808,640,592,364,500,354,
844,273,406,133,144,625,183,899,697,673,197,355,671,886,877,835,751,132,723,
184,261,638,148,815,280,480,212,472,686,069,480,950,539,688,322,393,960,514,
320,049,105,953,934,800,665,358,929,274,029,653,572,542,016,262,900,098,721,
816,518,877,767,551,878,227,706,333,076,129,420,518,164,723,052,522,864,492,
461,824,379,778,857,406,340,937,102,600,686,386,447,546,957,052,451,916,300,
312,071,818,756,146,890,760,820,032,860,119,771,101,967,498,548,291,863,488,
163,722,324,509,925,077,892,208,511,247,554,814,450,847,079,262,437,695,834,
521,172,045,936,343,944,654,575,381,165,215,698,894,519,126,504,937,239,186,
826,359,304,106,848,558,514,186,135,463,732,809,207,776,527,945,615,828,781,
293,691,435,333,182,043,169,936,956,959,598,501,021,667,744,735,739,079,952,
420,630,989,291,275,140,154,632,857,026,901,570,990,167,949,040,674,001,519,
286,750,302,871,198,958,899,061,852,278,502,978,086,446,479,145,114,668,354,
504,436,979,615,340,866,997,473,962,067,762,756,194,068,892,035,788,982,550,
580,582,806,735,450,434,555,367,995,876,848,954,208,490,301,194,506,926,091,
442,447,999,998,761,039,599,319,771,422,914,878,508,929,057,546,521,398,396,
491,943,486,651,694,359,196,045,106,833,474,520,749,801,997,019,290,385,285,
591,469,899,214,884,112,459,398,717,462,886,330,695,575,557,151,043,712,488,
745,296,554,937,559,656,832,667,991,720,253,893,024,288,048,243,363,217,170,
717,486,998,150,567,452,873,648,901,535,186,696,471,439,435,810,935,654,125,
789,902,074,148,153,180,100,233,366,079,683,412,851,763,463,058,089,381,601,
077,855,493,487,571,952,996,720,999,487,967,329,516,908,003,130,915,072,844,
962,666,629,247,678,567,950,969,608,207,297,806,571,312,599,471,772,379,572,
019,942,246,491,404,878,891,844,918,115,492,937,878,749,830,976,893,649,200,
661,268,092,238,563,503,387,195,097,132,471,059,846,984,386,798,326,498,801,
381,122,297,991,325,197,035,213,114,414,310,979,596,809,446,208,130,416,481,
993,054,700,604,932,502,582,936,244,996,931,832,344,429,642,172,087,908,565,
968,355,097,608,663,622,134,446,202,117,250,861,927,923,670,847,614,804,178,
716,521,857,527,408,263,488,583,024,137,794,810,744,948,083,311,565,718,835,
501,677,366,876,866,207,130,533,161,149,244,593,306,465,450,285,927,885,640,
709,517,515,549,554,258,869,093,228,704,087,965,244,907,464,930,404,984,697,
280,400,892,363,587,901,335,612,564,157,021,734,590,420,604,115,011,041,087,
762,591,498,817,756,187,002,380,155,989,047,275,341,541,452,814,218,565,907,
045,638,671,069,226,388,829,067,895,765,886,955,830,323,236,501,763,549,833,
620,305,286,438,340,908,733,141,646,615,183,266,266,214,016,213,744,252,080,
445,880,427,012,556,676,842,800,783,955,967,379,598,430,979,349,299,887,006,
580,487,413,258,928,267,514,144,447,865,205,999,208,114,074,123,846,420,942,
196,620,736,213,561,757,103,034,590,175,859,091,530,666,163,353,420,036,800,
316,114,741,558,471,254,072,423,417,959,345,765,941,301,100,401,568,882,320,
871,567,430,761,694,179,504,793,604,871,269,042,966,465,856,238,760,718,988,
581,986,759,538,566,380,944,029,943,778,894,325,425,230,371,716,713,478,127,
049,416,512,939,296,136,177,840,730,760,932,917,720,036,995,322,578,332,695,
422,959,781,852,809,959,017,052,035,123,811,301,584,902,476,097,912,048,266,
413,171,613,447,250,163,491,386,694,734,333,336,661,377,564,008,387,937,777,
208,738,999,824,093,740,638,108,475,564,579,033,811,050,180,341,651,430,398,
563,541,101,374,427,412,990,319,125,413,296,476,825,827,043,663,086,793,098,
010,850,362,433,831,912,778,115,084,547,995,528,603,813,573,806,491,470,644,
727,168,417,053,507,987,838,597,721,967,780,575,613,794,929,914,467,325,210,
427,558,285,156,171,918,257,753,595,021,388,621,372,029,452,114,510,825,513,
912,051,826,675,403,096,620,123,140,806,771,065,658,065,891,496,511,023,818,
828,167,752,477,932,986,311,097,519,563,535,812,968,195,374,702,115,138,756,
287,777,693,257,660,941,861,173,691,389,786,082,708,793,136,892,661,261,263,
372,575,395,884,991,571,752,388,101,930,079,473,875,126,284,380,168,070,392,
878,651,880,095,542,682,867,172,066,851,629,383,721,223,053,413,922,963,400,
549,753,343,531,176,272,300,318,241,983,918,089,591,872,502,043,844,557,561,
954,107,277,893,095,589,337,457,098,187,584,461,060,008,968,726,668,484,204,
337,055,354,344,574,253,464,361,239,808,520,916,164,561,529,681,493,056,412,
109,819,251,530,474,984,688,592,942,468,032,232,471,120,088,488,344,637,813,
688,868,710,991,556,024,834,073,955,154,306,166,150,293,905,703,584,418,282,
476,893,942,565,693,767,177,778,912,675,185,215,131,857,198,159,393,645,251,
271,741,925,079,050,431,281,922,863,431,881,332,338,900,738,626,080,097,544,
853,824,588,445,927,350,288,945,178,027,205,778,642,991,970,075,045,873,523,
132,133,946,215,269,802,714,457,672,944,683,088,879,297,829,209,521,592,638,
753,669,276,568,890,970,669,461,472,803,885,014,111,644,175,150,631,388,873,
170,749,666,210,680,614,392,336,236,566,553,360,838,369,083,978,390,303,674,
826,634,874,576,127,546,645,000,928,704,368,240,883,617,966,548,947,256,414,
584,591,398,810,357,910,656,486,077,383,831,621,981,397,889,697,250,710,320,
031,897,431,130,565,472,714,229,420,616,995,810,988,741,149,334,257,471,549,
675,629,971,202,738,351,625,718,483,877,979,987,969,545,676,571,465,139,922,
486,514,879,564,089,536,137,506,264,739,210,991,557,261,965,635,063,030,479,
616,656,645,952,486,108,470,465,298,313,827,191,529,174,454,024,905,025,517,
216,246,661,296,027,978,485,079,473,812,903,486,147,450,734,675,591,269,204,
771,001,363,324,098,293,545,371,254,228,825,256,300,171,375,232,715,575,270,
254,999,358,005,070,659,452,294,485,748,735,144,850,874,834,045,879,650,416,
928,923,378,588,151,218,691,143,007,269,330,040,889,232,935,356,980,105,191,
130,284,599,921,005,229,994,504,519,912,338,208,746,421,114,808,820,255,049,
045,346,235,818,561,560,793,029,147,277,957,522,445,898,370,779,863,415,163,
537,171,698,283,847,670,754,124,156,058,058,397,750,824,260,536,616,091,291,
134,523,147,138,590,613,150,077,578,971,115,866,219,569,343,870,550,979,293,
066,484,908,885,831,535,721,574,964,232,227,432,778,424,121,809,367,672,505,
943,247,955,826,449,846,490,340,168,475,963,857,960,137,022,558,412,702,485,
455,739,062,781,453,834,839,029,001,528,519,646,970,733,216,302,582,917,702,
408,257,451,578,720,660,472,820,539,434,238,411,886,076,184,386,182,946,687,
122,895,322,045,236,857,470,644,932,512,610,782,714,143,369,400,519,772,067,
463,501,503,360,510,917,513,448,412,335,962,063,784,096,256,294,463,996,532,
195,760,886,742,129,441,745,118,222,305,430,762,207,043,645,462,471,203,945,
722,002,231,643,801,946,100,770,444,047,763,937,387,132,237,533,120,943,522,
855,490,191,929,566,931,822,441,394,370,388,161,610,216,325,536,559,519,938,
176,253,052,262,599,874,639,268,676,095,619,324,657,627,795,040,105,237,226,
497,440,999,172,695,473,618,901,447,013,140,942,018,077,988,699,374,461,999,
497,538,306,387,803,190,515,654,359,244,333,763,507,890,417,247,031,432,520,
201,211,377,266,535,157,767,551,976,760,707,483,257,698,972,848,885,377,338,
823,829,145,635,868,024,633,331,918,941,516,152,713,280,650,732,112,309,647,
141,063,493,272,458,188,896,649,445,884,309,420,699,462,318,604,836,474,884,
537,710,591,657,949,953,898,941,719,158,631,267,688,765,880,433,657,120,008,
556,478,688,836,785,372,953,117,271,884,398,855,673,280,891,680,412,237,903,
131,215,219,747,134,553,249,514,903,436,165,811,467,049,757,125,083,625,855,
941,908,405,805,946,226,155,850,391,241,507,870,666,100,897,420,224,564,773,
808,889,472,008,324,488,886,032,066,260,104,926,563,967,811,372,244,149,024,
077,467,064,726,762,795,709,085,020,175,132,516,234,761,179,499,884,502,480,
236,646,023,840,712,662,690,468,273,757,377,267,564,028,328,046,833,859,115,
717,788,312,366,749,069,626,511,895,515,624,145,118,375,067,355,094,846,857,
629,673,384,855,966,708,075,969,819,985,661,026,901,063,572,011,519,561,042,
027,095,704,707,494,353,047,298,449,390,291,616,115,514,801,009,971,180,111,
089,589,257,875,237,436,591,383,658,438,319,902,263,532,101,360,018,276,612,
399,554,376,212,389,817,359,354,404,735,197,480,999,357,291,287,243,844,032,
542,598,370,349,925,092,757,850,782,233,503,566,785,715,786,720,221,617,306,
765,249,810,472,690,736,708,185,621,764,001,121,124,730,267,217,088,923,521,
018,072,062,952,243,575,872,910,276,076,670,491,999,923,216,509,637,349,435,
556,666,574,310,345,887,827,324,830,173,756,227,189,180,552,278,928,244,735,
975,606,016,870,888,738,001,152,087,429,117,335,524,204,416,828,135,580,145,
609,014,343,557,062,909,910,381,900,105,615,164,590,200,518,075,835,978,670,
535,338,403,433,128,985,173,772,989,629,564,571,437,839,355,482,470,460,014,
024,147,185,051,422,267,673,605,378,633,765,018,041,910,852,146,798,525,214,
145,432,488,529,068,307,689,952,625,887,458,507,433,485,246,522,991,438,223,
386,346,974,223,324,427,511,330,046,406,404,843,299,040,609,610,647,646,303,
022,003,146,335,076,867,534,130,971,502,246,021,501,229,058,096,046,882,068,
737,922,230,860,371,388,080,629,850,835,491,092,865,048,397,263,609,387,227,
593,903,977,446,640,156,493,602,812,622,528,965,077,571,031,436,379,887,504,
300,117,276,413,948,471,772,386,712,035,450,906,416,437,767,168,053,728,558,
282,148,400,876,122,891,849,768,174,290,469,250,711,811,007,288,499,336,951,
001,824,386,015,222,815,775,159,861,054,971,584,791,864,785,596,269,869,491,
549,573,319,882,658,608,432,294,259,230,147,349,485,846,035,644,947,088,270,
146,767,894,966,430,495,980,135,045,915,497,285,983,256,681,558,099,180,385,
610,980,518,738,363,770,933,157,533,442,244,693,186,405,053,084,654,871,163,
722,756,657,352,129,461,052,455,370,359,694,754,705,030,641,085,006,973,906,
938,182,919,958,786,624,037,858,875,299,093,690,744,989,868,029,688,063,148,
764,663,898,854,846,666,782,992,537,641,690,808,886,936,492,506,637,448,679,
127,110,003,908,617,605,448,186,085,604,552,760,995,684,336,087,422,984,775,
543,657,601,771,443,172,813,847,257,227,342,427,141,984,123,061,049,514,867,
045,143,084,519,876,273,315,692,907,087,847,535,353,879,079,654,933,223,276,
663,871,283,295,861,223,369,017,013,224,250,191,150,524,675,307,901,834,042,
443,849,481,128,373,108,336,316,929,828,029,695,676,136,878,386,595,500,220,
031,386,409,477,156,272,796,631,561,435,940,024,489,819,886,565,844,918,195,
029,664,678,597,645,578,904,280,967,638,041,224,156,871,890,843,023,360,799,
639,536,715,106,894,747,538,918,548,803,616,451,251,400,821,423,976,430,885,
944,839,872,938,380,933,065,050,982,926,191,301,588,975,783,676,838,468,545,
302,657,026,365,070,400,062,085,935,310,685,108,157,942,846,654,147,316,167,
407,904,247,760,959,627,741,902,233,724,340,263,847,182,351,414,281,270,968,
966,191,688,038,385,898,293,735,192,456,065,431,783,470,858,487,754,275,056,
604,226,911,924,646,060,800,983,528,926,162,981,454,335,379,522,357,309,033,
256,968,979,605,139,988,895,836,586,986,474,069,219,952,557,080,627,654,263,
865,446,108,408,818,844,433,862,066,542,212,417,425,447,491,522,466,732,296,
954,643,512,659,049,493,544,486,919,481,680,758,634,596,932,545,310,424,382,
675,723,599,236,272,308,187,881,537,771,352,328,630,049,013,061,383,979,446,
601,547,757,928,382,963,499,222,741,366,201,699,696,030,882,230,782,423,571,
684,349,876,658,484,017,877,872,350,583,805,930,580,006,018,078,146,085,500,
735,013,779,730,686,514,050,555,109,495,365,293,023,578,910,163,845,543,248,
863,708,572,073,161,191,050,213,236,222,651,912,015,605,586,186,903,879,340,
041,121,813,853,074,209,028,588,259,476,659,892,133,479,591,245,020,656,704,
448,355,374,362,662,969,812,074,294,565,685,827,616,037,516,675,524,463,067,
545,120,058,470,102,816,272,307,152,171,536,765,239,550,683,331,018,441,187,
353,265,357,953,112,504,172,909,133,076,603,450,938,321,123,947,762,143,165,
418,011,098,278,271,718,513,695,425,161,460,289,415,964,559,964,551,035,934,
362,244,604,812,910,989,926,808,210,504,062,335,278,863,059,550,543,689,543,
213,871,010,384,028,792,916,589,594,873,435,409,519,101,464,903,587,994,303,
809,448,863,494,553,849,293,680,149,427,341,611,229,908,114,260,510,196,644,
094,602,632,373,463,342,063,698,887,202,009,775,344,723,432,517,974,393,856,
981,152,826,921,227,061,769,990,402,757,763,096,692,937,847,480,909,851,066,
262,268,342,478,778,901,107,857,936,270,399,248,380,416,997,956,679,561,416,
848,366,267,983,890,506,716,955,063,818,078,928,453,262,822,565,855,787,533,
355,141,293,643,095,410,152,518,827,609,085,221,498,406,984,455,203,374,167,
165,695,632,412,584,189,348,434,990,379,284,533,033,716,990,115,986,929,336,
668,309,109,705,705,896,277,015,686,481,186,766,779,934,081,673,442,609,036,
081,872,283,261,693,051,906,471,829,249,023,930,016,581,940,190,085,820,005,
621,040,025,460,763,918,951,206,083,864,558,572,217,268,547,775,082,296,881,
586,043,457,791,575,725,105,536,039,239,612,366,256,918,830,722,339,918,256,
591,314,968,242,714,833,483,914,260,619,271,946,276,445,604,269,150,311,307,
597,673,883,713,246,023,728,968,288,877,964,239,122,444,111,091,029,010,272,
162,289,581,625,461,204,931,697,800,625,738,221,295,943,566,092,245,367,694,
421,061,786,784,280,272,554,305,240,325,560,892,823,372,542,046,584,889,054,
957,835,677,127,859,102,241,734,910,215,003,035,435,781,282,632,256,957,716,
228,214,518,268,614,667,453,411,352,552,254,895,000,202,548,438,269,492,734,
886,347,954,794,102,443,082,730,899,592,435,996,530,573,201,427,774,581,115,
701,670,574,696,520,654,326,228,960,099,890,944,064,378,891,943,374,198,690,
018,545,367,283,387,754,234,196,310,917,704,792,179,097,710,701,839,426,894,
541,526,404,027,205,685,034,683,428,554,009,236,825,753,203,630,664,962,690,
139,645,526,144,606,185,324,246,174,129,077,015,786,942,112,972,967,861,486,
061,889,521,802,098,327,945,719,145,071,880,170,639,920,137,801,375,341,066,
010,484,816,116,240,522,696,764,619,277,693,060,622,169,308,335,379,276,994,
251,873,862,073,759,383,354,652,915,121,309,205,619,239,343,027,941,701,990,
370,892,050,262,689,614,639,151,313,220,862,194,006,702,030,350,109,160,620,
855,951,732,567,864,295,586,819,829,898,074,112,994,256,858,266,373,733,394,
091,764,426,714,531,236,840,844,632,183,778,322,566,803,492,272,365,605,136,
468,510,012,747,259,762,877,896,644,759,908,233,803,052,029,252,618,282,976,
479,781,770,229,067,860,403,931,462,706,480,100,298,622,216,040,565,563,675,
656,219,429,006,318,281,421,691,366,844,274,739,876,609,599,374,562,922,348,
256,312,933,199,453,766,167,157,322,972,788,264,820,506,317,752,668,591,089,
624,223,038,676,720,414,113,455,282,553,385,894,137,929,892,074,981,252,148,
647,685,509,502,798,581,960,555,244,337,367,588,378,441,504,464,206,674,703,
077,158,687,376,867,139,500,317,607,017,601,208,540,720,362,411,312,072,010,
928,619,107,861,594,218,046,839,758,661,040,867,144,406,600,123,532,095,928,
118,616,290,506,663,793,685,336,455,201,875,452,903,770,976,109,317,928,060,
701,666,156,054,251,517,848,598,080,719,320,695,418,032,021,850,825,588,060,
463,318,238,715,694,215,529,315,331,376,599,137,825,609,531,444,276,906,466,
770,413,809,354,556,639,126,144,157,883,513,576,510,970,920,190,098,453,915,
296,449,516,018,443,103,264,148,537,418,745,467,132,552,833,220,179,153,308,
497,215,707,307,690,386,795,501,341,509,577,832,657,004,529,758,677,318,280,
037,075,474,520,634,551,078,618,860,417,436,743,287,569,717,520,945,079,231,
350,469,872,896,364,269,635,927,693,339,581,029,987,856,095,072,378,573,699,
881,742,999,558,213,951,903,636,590,404,868,890,133,841,098,928,580,153,727,
573,419,454,915,907,631,196,450,789,806,116,293,415,791,456,302,405,451,211,
104,476,286,949,775,033,285,346,205,778,206,991,563,331,599,885,891,873,419,
742,422,754,196,140,201,995,606,924,618,007,742,114,457,320,699,588,592,085,
059,002,660,771,777,026,593,486,076,834,425,455,973,026,448,589,776,928,257,
301,496,678,582,174,904,368,640,087,908,433,840,540,049,229,193,846,456,469,
142,212,839,520,927,707,244,541,571,328,150,620,315,927,313,372,316,239,858,
178,120,946,131,928,070,628,993,390,204,920,621,492,187,072,270,651,103,025,
517,967,139,541,156,227,807,559,815,600,747,335,824,218,312,326,811,056,100,
641,475,094,131,120,374,846,571,886,769,206,071,777,959,032,493,411,733,680,
325,114,764,047,196,755,448,745,282,251,177,834,770,635,939,211,698,160,548,
528,417,123,530,110,988,406,920,860,739,715,739,131,742,328,124,046,637,255,
583,152,253,692,894,525,425,400,469,196,180,434,700,857,687,977,506,559,825,
796,847,458,008,875,635,685,227,034,425,256,456,136,121,069,324,711,755,831,
051,912,171,594,283,665,677,340,229,901,221,171,985,316,663,539,616,769,239,
988,463,014,761,259,331,456,683,933,803,513,091,303,590,655,328,957,501,813,
222,649,300,599,170,454,516,179,797,802,697,393,361,303,316,693,207,828,307,
137,500,542,200,643,486,804,771,938,477,102,931,371,695,053,309,449,806,538,
319,465,759,799,570,313,158,519,444,299,822,800,824,073,904,435,692,251,974,
744,666,493,580,742,701,793,800,324,102,613,814,675,292,416,771,205,915,718,
055,326,618,089,470,819,831,340,939,007,426,719,867,069,775,423,739,556,032,
149,865,304,591,531,357,877,510,060,422,896,926,653,469,439,984,362,528,171,
559,763,931,507,900,046,024,125,266,597,812,891,635,223,801,463,044,441,411,
492,178,364,995,658,055,562,056,840,814,405,565,791,608,562,705,597,477,255,
474,997,683,850,571,533,693,942,200,098,455,917,949,568,299,635,132,572,198,
313,879,188,550,145,158,517,712,560,161,508,749,596,214,081,579,633,271,609,
400,787,500,181,650,452,810,614,956,019,104,565,227,693,276,696,371,463,985,
349,182,891,797,497,505,474,205,953,751,849,828,145,161,822,714,234,459,767,
367,508,137,738,419,104,748,102,954,230,753,982,759,306,654,220,219,432,846,
924,732,525,680,557,407,777,717,482,632,748,359,338,283,189,680,647,373,384,
445,299,746,561,292,886,154,330,917,379,032,477,912,977,898,300,154,725,097,
187,996,011,827,155,090,663,960,851,775,642,852,397,539,476,729,131,292,340,
281,836,192,207,797,101,038,521,461,056,815,271,982,713,090,894,432,053,265,
448,968,044,833,898,378,248,351,404,579,323,338,380,714,509,332,185,772,952,
281,768,091,264,870,471,734,068,018,579,784,905,594,762,390,846,016,058,115,
780,211,929,404,603,764,942,117,806,888,769,326,215,163,384,080,580,468,722,
295,611,135,311,901,651,084,042,129,209,790,947,708,801,495,079,422,232,563,
625,331,569,812,708,993,641,795,180,879,533,389,557,525,924,849,927,901,551,
080,768,481,395,514,026,937,568,621,488,604,435,492,864,413,881,278,468,092,
299,038,799,521,775,005,861,198,463,743,779,574,918,152,748,680,580,121,994,
213,242,505,233,696,558,662,366,849,763,494,079,414,616,665,452,658,423,782,
414,957,565,210,048,805,454,292,904,639,826,052,325,717,867,175,535,935,865,
564,650,716,386,740,608,778,456,907,521,248,581,818,909,100,826,285,198,581,
312,426,796,671,048,327,503,405,255,532,168,331,138,049,917,765,821,079,571,
847,050,085,854,191,739,191,353,849,523,443,493,288,123,139,447,126,925,840,
908,112,388,327,387,301,662,950,298,237,729,740,216,538,392,402,044,254,328,
328,207,613,696,261,849,585,102,326,016,718,875,243,699,982,234,122,145,178,
038,683,182,665,782,930,558,874,145,823,587,169,394,413,862,446,010,809,456,
561,841,809,715,078,973,428,163,866,760,310,519,255,107,440,998,184,857,584,
469,657,502,439,339,184,171,023,188,606,905,681,384,573,576,333,665,755,601,
607,358,435,840,120,939,161,414,575,590,273,919,895,013,922,160,304,074,733,
389,357,095,905,042,416,653,546,166,828,947,299,241,581,797,342,289,127,931,
305,300,140,556,629,429,069,554,131,741,103,485,965,130,717,050,821,737,155,
224,743,076,902,538,696,988,141,372,372,787,483,137,371,855,601,113,620,145,
022,845,125,589,879,222,772,262,306,701,586,368,549,000,988,159,669,261,877,
326,376,196,914,667,191,670,175,979,384,331,670,549,676,684,261,645,304,142,
216,665,361,689,533,236,580,282,460,868,718,981,503,026,495,517,630,245,340,
969,171,195,936,120,091,748,049,775,118,806,761,412,684,792,730,127,039,327,
067,799,839,119,254,829,148,218,011,642,783,474,400,933,661,813,759,920,361,
459,833,290,768,503,084,432,961,891,682,717,791,449,642,657,248,449,750,046,
808,148,609,336,986,215,615,226,822,164,094,294,636,271,740,361,816,703,620,
678,662,425,002,036,851,095,545,864,012,902,901,700,650,524,920,165,209,912,
028,420,250,056,877,127,890,671,246,566,669,395,653,144,761,405,743,593,918,
278,675,376,360,365,247,169,919,868,276,351,548,050,469,192,890,723,025,988,
740,232,221,330,028,702,153,923,204,181,609,375,348,426,862,349,769,920,041,
896,373,924,421,394,731,424,197,074,233,068,889,542,697,469,925,868,018,405,
768,941,868,665,451,437,557,943,682,528,597,651,429,520,173,551,866,945,247,
387,637,317,358,528,333,921,179,482,275,973,761,926,921,304,103,058,994,316,
828,428,593,423,530,934,073,736,395,689,208,119,540,221,070,997,946,373,845,
681,509,462,659,535,916,257,904,813,164,159,115,947,642,212,274,457,477,871,
436,077,506,826,785,609,556,848,552,743,855,668,985,313,556,263,535,808,245,
026,031,663,716,243,016,274,795,877,253,346,332,364,611,383,938,291,666,020,
302,192,456,808,354,511,879,525,618,665,683,912,518,411,718,989,127,005,780,
891,467,097,051,030,975,199,716,356,731,997,497,887,274,315,432,393,985,029,
590,107,729,135,024,897,502,409,989,314,891,933,681,688,103,843,973,639,704,
892,043,963,285,911,920,686,137,139,907,145,708,169,884,460,331,179,568,414,
383,629,305,124,400,398,896,670,600,550,034,930,127,384,067,378,137,080,732,
060,060,038,759,540,289,998,180,918,577,882,259,586,203,779,927,668,627,828,
826,840,284,069,860,569,773,947,533,866,834,240,300,765,578,654,517,098,647,
158,773,859,285,878,809,369,815,373,441,166,997,236,549,346,287,119,281,221,
646,016,267,507,040,207,391,442,187,858,162,813,528,236,301,643,550,992,676,
941,135,777,585,455,377,118,575,883,887,902,946,724,667,675,893,375,170,382,
701,287,831,848,095,733,882,813,364,794,564,062,965,357,414,561,987,339,381,
612,767,088,762,918,644,478,081,962,050,511,246,248,334,770,839,006,750,664,
664,112,483,545,727,875,859,501,005,956,668,554,990,315,538,518,315,856,688,
516,481,321,000,222,797,476,727,524,423,998,198,397,966,221,592,878,690,368,
162,989,963,841,290,462,323,045,162,416,302,263,895,770,941,749,324,337,228,
977,689,121,532,933,524,421,672,252,235,529,555,624,600,901,782,010,084,299,
838,879,726,274,952,897,334,999,427,047,488,874,359,757,622,363,566,523,100,
104,750,702,698,436,181,705,818,025,102,108,445,718,166,081,271,341,832,419,
632,963,282,060,547,828,765,545,709,989,155,855,024,468,296,716,583,809,760,
821,572,017,517,749,861,872,640,430,508,388,015,627,303,997,476,853,148,977,
154,297,638,508,217,895,404,310,869,583,091,261,232,768,580,037,825,188,960,
091,033,620,583,725,065,851,396,433,273,315,678,397,625,184,713,235,890,640,
657,421,919,576,062,278,425,266,969,953,032,767,549,009,545,424,609,631,300,
048,789,960,166,291,165,471,908,793,432,630,194,140,736,334,368,396,408,615,
703,788,205,899,594,324,332,594,874,343,797,523,582,325,990,176,566,184,919,
296,329,720,235,478,485,274,037,716,369,686,478,687,631,672,296,246,900,733,
838,839,154,228,621,096,143,790,586,975,258,549,709,080,746,293,796,417,412,
085,897,801,786,670,628,770,826,469,121,280,561,687,299,899,065,420,347,212,
588,655,598,409,476,396,911,349,220,639,520,713,719,700,968,443,412,919,609,
564,350,030,123,882,379,188,686,535,511,017,928,714,539,716,682,287,086,956,
372,628,525,137,911,363,333,299,599,615,166,538,208,818,127,027,131,216,810,
324,890,868,656,095,995,937,605,831,697,018,427,691,165,153,540,389,558,407,
580,373,691,261,840,190,179,138,950,286,030,205,866,720,665,551,715,277,471,
304,873,462,626,697,645,782,026,830,159,793,687,485,439,245,631,112,051,569,
625,076,303,412,321,477,806,300,897,198,739,932,315,037,675,109,354,018,220,
924,309,627,153,632,343,616,501,069,858,654,338,880,075,372,096,371,922,138,
004,066,576,390,309,979,727,927,735,528,321,652,598,198,623,427,786,395,597,
839,596,887,911,975,439,954,148,310,453,840,425,396,847,702,083,627,466,864,
543,221,303,854,319,329,685,224,928,281,239,044,068,080,849,017,627,662,136,
268,790,454,757,941,649,277,608,376,801,723,895,299,926,619,107,415,184,393,
903,246,001,688,947,950,295,502,776,151,695,633,339,378,489,809,570,865,388,
168,391,260,653,973,699,609,034,528,319,394,783,403,230,724,897,421,645,326,
776,669,809,047,381,719,922,731,588,650,398,057,601,111,220,026,062,751,296,
687,393,077,325,657,256,845,756,986,816,428,054,178,601,505,929,577,884,737,
769,197,437,863,708,341,611,901,928,646,304,210,442,889,423,402,326,308,440,
794,432,636,705,544,247,106,047,626,722,831,642,229,407,335,040,975,015,123,
298,454,611,800,814,777,718,146,684,840,153,681,714,589,749,654,072,111,082,
174,202,209,506,134,776,542,997,259,760,074,650,728,388,726,885,558,122,860,
025,189,092,809,591,373,717,727,702,628,811,725,276,958,398,726,147,667,419,
334,906,982,395,944,590,719,279,062,882,636,399,255,493,281,289,092,641,756,
543,389,953,419,501,786,623,641,757,962,766,007,948,520,949,675,955,564,798,
598,615,382,778,366,811,782,908,107,716,501,482,111,686,972,567,309,195,530,
625,403,417,724,012,640,473,773,288,623,728,488,423,578,226,308,875,699,609,
422,187,620,565,447,634,912,777,289,922,365,443,023,140,127,404,657,450,590,
263,622,534,028,491,447,081,138,287,982,066,830,971,177,675,998,109,533,257,
032,101,789,671,663,925,341,862,837,793,830,772,418,569,745,261,074,916,115,
381,712,607,915,464,125,434,234,896,618,015,771,225,081,834,168,536,966,045,
124,727,084,402,870,539,663,360,517,886,920,618,437,132,196,466,254,903,260,
432,140,902,636,957,223,167,406,201,555,765,959,930,372,511,135,302,369,304,
857,576,321,469,373,067,093,998,333,920,617,464,819,218,557,322,200,411,915,
149,907,418,375,146,029,304,014,044,140,391,815,972,703,106,246,203,832,866,
028,601,883,189,123,220,681,505,226,188,736,675,294,269,665,421,213,348,185,
636,455,795,339,022,915,185,917,514,440,707,847,565,117,703,025,961,948,402,
194,050,176,383,902,183,338,239,292,562,199,818,647,936,381,803,520,303,867,
574,128,717,091,472,240,380,388,288,477,104,151,227,660,820,332,718,336,968,
327,932,629,333,948,833,342,052,334,266,840,174,936,520,842,549,413,011,298,
401,164,307,311,281,329,230,535,237,139,158,186,279,340,010,791,684,523,740,
638,205,866,233,113,029,705,662,282,268,859,911,874,842,077,416,440,897,752,
269,221,193,306,603,598,059,212,441,838,054,170,297,604,983,317,403,087,265,
858,722,298,970,541,216,976,186,651,420,743,248,194,665,021,920,525,010,482,
426,954,407,742,163,995,816,737,734,764,645,644,153,063,298,535,001,584,208,
641,981,289,784,634,566,963,771,238,957,086,198,995,262,997,389,375,653,307,
250,171,960,548,097,732,090,460,757,478,495,652,413,883,173,530,278,207,563,
680,441,885,936,342,952,538,918,717,454,042,830,201,237,104,036,201,174,240,
768,379,812,654,861,574,962,353,472,849,698,749,762,387,905,812,578,115,111,
518,051,576,767,759,097,776,533,947,157,942,954,084,824,487,994,713,749,142,
117,451,913,987,402,079,685,580,147,612,471,145,927,317,043,432,538,356,032,
038,488,592,844,142,711,716,317,241,091,312,285,446,782,155,299,886,842,859,
202,763,703,116,740,501,453,570,430,440,113,685,013,954,090,935,003,865,850,
349,819,047,088,250,771,625,695,640,466,692,116,076,327,059,572,562,934,410,
445,513,778,442,838,263,935,409,425,409,935,371,987,708,991,995,100,477,544,
348,586,869,891,358,414,781,200,795,713,567,134,565,058,569,115,746,476,723,
855,555,761,342,820,853,465,631,841,275,911,048,156,355,673,377,681,918,893,
197,404,119,025,493,590,083,283,069,756,800,690,281,006,887,664,444,713,521,
711,232,597,460,038,788,879,309,964,861,707,593,835,381,685,580,636,579,077,
822,511,263,232,575,654,184,357,267,104,610,160,421,088,743,859,405,026,977,
955,769,981,631,506,575,017,145,248,174,594,959,830,953,098,543,550,533,923,
505,344,369,184,555,881,286,676,493,170,199,801,659,270,009,924,091,129,484,
176,001,481,979,979,313,174,565,265,175,424,670,916,042,943,520,561,568,954,
667,291,959,699,681,631,494,584,447,371,925,720,836,229,807,057,047,026,949,
248,160,302,745,303,866,353,061,890,402,910,632,297,260,553,001,332,405,200,
680,697,691,867,449,978,684,541,009,116,387,800,735,787,974,988,414,877,611,
083,691,060,929,742,258,296,280,918,256,730,172,773,142,511,691,713,910,007,
097,764,996,683,819,342,605,504,240,741,772,409,344,746,668,152,308,162,150,
794,113,659,176,233,160,298,604,640,447,029,463,636,723,426,409,548,429,857,
441,243,495,673,263,869,111,063,252,725,915,466,653,541,468,436,692,932,957,
099,673,839,600,955,125,981,708,579,222,729,988,687,682,467,477,272,985,437,
014,310,071,831,283,352,640,520,703,145,184,650,818,760,412,607,572,183,038,
527,377,993,435,002,113,529,795,744,437,674,369,236,516,344,122,822,682,395,
762,811,753,307,423,850,442,771,705,192,363,163,100,943,041,000,897,877,455,
192,903,979,548,493,538,334,648,184,789,124,451,460,533,556,355,323,844,758,
217,026,857,047,638,532,357,524,945,403,305,886,787,123,821,240,204,812,255,
110,021,192,590,177,863,211,717,140,100,822,037,178,700,919,819,827,213,868,
961,574,294,852,218,072,464,643,281,301,359,097,528,801,520,212,322,543,195,
276,518,249,975,226,159,546,885,373,498,867,065,829,233,714,148,770,220,588,
828,520,200,702,038,997,986,073,304,832,944,305,657,307,340,890,192,338,304,
807,805,954,534,118,428,072,495,910,960,246,186,692,962,328,044,813,461,912,
530,259,788,365,547,723,253,826,484,065,746,177,581,321,547,711,047,904,984,
576,857,711,450,221,563,043,694,733,849,654,310,223,254,363,764,456,009,658,
573,297,866,612,644,797,576,050,282,355,209,915,733,775,058,784,522,672,816,
841,386,685,230,066,889,724,082,290,818,513,433,679,611,349,095,045,716,590,
950,025,763,490,781,531,875,237,173,735,229,826,198,853,496,013,427,315,758,
078,755,555,488,856,555,700,720,646,159,093,906,429,040,373,480,455,190,906,
471,418,025,689,661,840,281,702,980,255,277,565,971,148,931,064,875,574,291,
009,383,082,691,738,786,631,969,645,143,205,417,137,747,436,307,067,202,081,
611,828,461,066,239,435,661,114,969,837,569,850,996,858,018,061,442,164,704,
077,864,150,286,595,152,615,373,889,354,556,949,940,013,645,462,062,348,030,
178,595,383,804,048,830,419,922,337,613,107,648,613,112,914,795,188,228,527,
707,282,489,624,816,381,042,168,997,385,277,620,420,700,307,074,438,378,320,
433,738,969,437,163,236,605,266,886,098,329,429,005,019,948,285,503,958,790,
627,920,028,468,843,926,157,728,504,327,129,617,960,317,926,619,105,717,314,
301,120,355,597,496,020,896,505,891,028,270,220,781,306,304,017,244,475,945,
109,870,986,902,513,514,655,068,796,603,477,457,986,715,862,119,164,577,536,
255,648,713,195,766,513,068,016,160,726,980,410,761,629,450,710,929,818,820,
035,114,103,087,956,322,300,723,103,317,794,478,191,718,158,069,177,953,972,
475,136,618,827,437,200,549,588,357,487,524,322,208,143,032,634,236,339,083,
910,818,394,477,800,056,704,437,030,566,287,073,466,545,383,835,801,106,761,
586,206,286,427,909,736,785,991,493,223,986,293,116,052,749,300,761,425,612,
945,717,316,368,216,645,716,464,382,372,524,325,615,198,164,591,029,602,615,
813,115,054,377,591,831,188,530,401,803,118,191,889,855,149,333,203,966,399,
480,091,711,798,969,895,965,714,157,514,520,471,367,955,332,090,500,566,719,
521,544,897,126,173,682,751,128,055,087,576,061,011,427,603,237,710,843,624,
191,358,119,415,597,669,872,658,632,030,934,392,014,272,182,301,875,127,444,
149,242,561,887,929,559,126,729,842,030,556,846,262,424,778,851,713,226,130,
971,234,693,711,523,432,495,652,574,089,016,124,229,955,905,694,751,926,444,
965,607,692,978,886,483,434,647,507,278,928,613,321,592,049,846,570,756,833,
976,493,762,926,640,612,163,368,856,481,951,034,916,814,881,397,073,206,762,
573,965,635,825,320,607,977,110,668,774,114,227,251,568,188,118,273,633,575,
370,339,084,977,328,424,941,808,961,827,787,381,110,011,356,603,010,598,061,
052,481,602,228,811,015,374,486,600,850,758,230,944,562,498,940,003,789,636,
955,971,528,900,238,513,956,207,858,791,893,557,016,417,050,159,714,035,864,
522,543,059,468,353,025,906,165,384,846,745,554,279,032,088,444,408,574,030,
524,717,516,848,230,393,132,899,551,032,431,615,993,086,484,794,306,117,645,
147,576,955,201,941,409,551,219,978,785,482,078,626,495,103,598,420,789,679,
795,097,250,411,937,678,608,738,595,397,882,014,789,467,487,954,654,008,673,
798,317,570,298,607,730,558,144,159,068,318,650,160,153,162,873,162,737,573,
100,316,472,321,873,951,168,303,978,005,188,631,986,079,266,740,048,569,631,
733,099,729,529,639,366,345,071,515,066,586,937,160,488,776,721,031,210,444,
863,256,062,553,236,523,507,580,541,861,827,626,367,139,381,356,940,689,226,
477,879,908,641,503,283,720,305,442,950,308,143,116,313,648,083,863,233,333,
120,956,214,352,472,713,399,515,805,483,716,264,464,368,732,931,483,190,352,
764,315,720,368,140,338,400,391,410,846,959,923,757,887,619,922,960,362,278,
968,641,871,213,053,460,330,737,755,320,286,844,254,481,473,555,889,221,339,
337,784,008,255,684,951,564,783,394,022,793,851,901,379,292,773,368,082,345,
793,054,083,401,790,154,875,789,379,561,845,252,767,583,441,312,283,582,641,
288,459,407,700,712,612,491,256,740,009,439,237,137,445,553,746,928,851,102,
402,070,687,066,970,763,628,153,448,068,835,386,920,990,480,453,939,957,626,
498,580,889,584,058,009,003,478,743,746,525,189,016,978,194,424,919,455,666,
376,034,248,460,552,690,613,425,714,095,464,537,731,337,375,277,024,277,124,
674,073,849,519,754,722,973,310,222,875,172,591,672,625,586,602,795,839,732,
214,603,706,323,449,119,393,894,121,361,441,107,557,137,387,490,196,256,297,
922,920,826,280,012,764,457,179,687,180,787,742,593,349,210,830,724,641,225,
349,560,129,937,008,511,768,753,726,465,576,806,432,104,928,119,520,051,240,
212,866,559,112,178,468,267,147,160,912,660,900,367,320,337,307,680,995,963,
856,759,154,001,221,242,718,331,123,070,512,816,099,783,571,891,439,684,823,
160,678,473,701,031,017,494,323,942,487,411,953,564,508,644,403,270,170,342,
399,518,125,271,056,219,196,761,160,709,267,041,219,383,203,188,381,968,415,
165,776,274,913,612,739,982,899,421,571,968,902,473,568,929,530,373,414,659,
257,320,405,401,854,427,865,046,006,967,472,041,919,724,458,539,619,396,698,
057,993,623,801,481,854,611,190,563,514,134,149,215,439,721,523,816,340,766,
640,572,183,439,938,019,621,479,259,866,672,458,135,269,413,914,893,825,401,
714,624,110,271,003,902,102,213,942,331,087,638,743,871,791,437,953,229,046,
726,838,307,955,810,541,012,221,768,968,336,591,478,069,340,931,261,681,251,
927,184,606,760,804,500,435,475,431,452,187,366,094,150,775,236,148,775,146,
971,555,015,021,434,310,315,080,849,668,726,699,499,709,684,769,879,070,552,
624,255,314,133,757,827,855,842,996,017,273,333,962,854,993,631,240,847,240,
952,974,042,132,653,656,847,811,020,354,046,762,777,417,440,140,979,852,177,
345,421,795,638,664,407,221,451,859,761,905,625,426,733,657,482,381,432,797,
278,956,330,461,790,539,477,621,015,330,350,043,987,838,418,311,873,466,423,
757,299,590,407,169,320,743,497,254,563,669,023,891,166,434,756,453,188,494,
643,154,308,791,756,971,738,810,227,192,117,925,624,524,485,840,959,500,731,
130,580,747,236,646,324,949,411,166,372,767,409,461,988,861,075,003,232,352,
341,328,578,489,198,323,452,320,787,512,152,077,333,210,447,470,903,137,187,
804,040,608,118,255,655,960,623,378,633,520,692,541,350,264,450,148,687,744,
664,275,120,983,911,083,047,314,455,903,748,144,237,333,003,720,224,621,671,
475,846,517,331,587,655,307,944,380,457,932,089,251,874,822,913,850,240,989,
545,293,327,997,255,064,530,368,527,415,318,365,509,738,582,870,827,730,975,
926,576,507,600,095,872,595,488,991,803,189,756,201,798,688,948,705,323,311,
459,441,731,982,057,108,831,518,740,971,228,981,524,942,807,459,205,411,518,
933,129,001,737,518,879,341,704,563,407,753,988,198,326,393,256,005,521,184,
002,483,073,935,973,745,176,952,699,329,819,942,947,472,017,710,324,416,796,
771,903,148,745,342,820,890,197,257,938,881,365,741,549,791,680,981,370,747,
110,321,423,882,681,232,545,425,025,529,774,704,517,114,650,764,035,070,257,
516,856,085,520,401,911,572,070,164,603,695,336,250,156,776,380,125,023,564,
239,729,127,379,271,045,223,702,290,842,651,612,928,021,536,196,571,152,393,
792,059,940,265,144,345,459,680,826,461,304,633,674,956,470,633,227,015,431,
906,853,120,320,699,852,647,494,335,262,460,733,730,736,194,202,243,991,838,
470,976,161,361,713,940,374,497,295,968,016,575,894,266,000,513,015,449,811,
619,385,041,205,910,227,151,696,144,469,893,724,574,543,843,201,044,630,901,
808,047,956,991,077,725,673,958,768,594,873,450,726,884,953,518,810,571,770,
668,605,719,793,225,637,438,255,685,480,722,635,106,220,403,742,722,225,072,
740,902,691,479,482,846,384,264,712,470,684,197,880,942,499,997,824,300,498,
638,354,288,620,346,178,775,217,826,688,874,167,522,492,369,808,362,089,676,
129,503,964,654,916,274,875,458,888,996,197,038,969,567,074,647,852,237,474,
702,525,331,529,589,837,994,144,696,065,390,460,734,595,207,069,045,091,558,
517,502,866,644,075,144,124,120,696,068,231,196,752,311,228,721,602,199,464,
327,272,442,193,752,853,267,851,513,263,585,322,369,987,449,044,824,965,762,
220,282,874,996,009,718,661,564,565,805,189,719,370,484,257,772,588,875,833,
670,191,509,396,407,776,212,112,732,215,939,779,788,159,055,521,462,290,737,
538,715,926,789,371,684,316,225,892,968,388,396,426,226,411,681,832,478,475,
417,456,700,734,964,356,607,345,750,946,646,087,260,139,849,805,934,844,471,
950,739,489,967,995,996,798,936,826,774,499,673,179,916,438,144,785,385,705,
973,312,086,247,001,273,876,625,492,018,575,758,443,851,479,931,415,248,006,
144,974,809,096,479,568,364,877,285,082,513,603,876,061,582,034,412,373,490,
765,297,165,401,776,204,804,717,959,392,017,594,078,700,150,488,257,996,696,
176,840,001,293,796,967,233,125,647,434,806,585,786,502,674,825,978,553,165,
519,895,956,738,521,851,956,178,554,419,864,679,914,923,700,887,325,705,862,
600,302,524,728,222,478,501,997,837,298,254,471,777,858,708,202,630,230,936,
353,399,290,281,253,683,633,986,306,349,276,452,062,749,387,629,271,696,133,
280,958,449,223,133,532,979,953,514,065,300,901,224,789,818,323,634,573,719,
511,459,497,192,143,461,046,851,546,709,167,378,443,342,366,208,210,811,729,
363,277,438,626,023,551,931,568,876,160,753,651,008,195,508,839,485,253,644,
815,235,890,624,140,292,309,644,019,955,970,471,070,731,599,180,943,470,040,
566,914,051,051,830,273,297,085,524,898,321,556,133,330,604,924,565,600,477,
374,148,579,370,640,426,743,043,538,361,199,424,551,365,777,115,654,194,115,
400,700,567,091,081,810,374,306,218,739,208,964,451,904,538,208,444,764,360,
281,435,551,670,725,996,768,007,489,473,380,555,488,049,790,467,323,635,455,
185,197,865,875,298,743,518,861,314,226,691,532,283,264,335,137,562,331,460,
952,444,946,205,851,720,971,136,903,792,796,866,508,683,709,820,714,594,892,
717,934,115,899,255,241,158,504,505,779,739,315,529,237,368,133,392,700,620,
009,678,957,661,250,622,215,544,011,714,826,563,308,705,430,381,164,652,785,
667,294,908,129,984,392,435,787,738,713,099,113,915,194,444,122,220,603,157,
776,064,733,326,925,180,637,259,663,561,800,617,167,642,119,078,566,158,464,
847,741,809,769,431,932,645,712,992,252,001,518,872,401,637,070,725,076,631,
617,984,649,739,601,924,682,700,713,445,968,936,915,204,259,163,644,229,890,
398,033,989,622,995,165,499,606,543,674,813,413,138,962,297,091,768,280,599,
406,242,804,706,778,146,021,815,239,460,501,363,918,661,475,445,701,553,720,
501,655,474,196,818,622,678,938,739,106,720,032,517,416,319,947,510,669,986,
202,148,466,433,310,397,603,839,026,065,527,214,145,060,771,701,158,853,536,
410,447,228,601,917,156,760,304,656,674,496,904,019,698,178,341,193,508,517,
259,031,953,967,997,528,977,795,659,540,084,932,206,135,275,040,701,512,401,
618,290,117,873,724,778,315,604,471,961,304,242,538,266,850,473,064,460,660,
949,179,507,951,189,131,382,183,189,237,676,154,106,088,604,020,024,721,514,
779,332,352,356,873,814,566,363,930,351,971,498,246,280,885,335,951,783,901,
742,243,671,812,130,866,545,417,573,909,319,053,886,369,238,220,494,907,697,
357,873,755,997,227,689,727,941,088,323,503,558,234,532,069,649,005,683,288,
417,905,830,433,748,659,039,988,032,520,236,274,276,723,152,443,345,771,776,
691,085,567,517,685,199,290,915,337,995,741,923,624,477,784,619,950,175,365,
718,278,931,759,341,489,130,358,730,964,602,561,383,399,867,558,871,985,612,
825,899,603,603,693,208,231,690,955,007,787,530,540,092,068,359,275,539,380,
201,209,045,212,795,847,313,485,712,406,774,273,380,440,938,205,280,246,955,
582,840,592,964,234,471,569,762,378,194,179,141,348,625,303,172,482,952,162,
075,911,959,590,796,277,818,977,517,220,512,915,293,392,167,467,924,415,592,
389,150,799,421,838,359,172,872,340,285,302,017,864,841,808,457,337,711,861,
866,995,964,036,092,651,240,091,216,021,524,256,525,220,695,243,501,052,522,
773,387,782,895,841,521,406,185,296,390,623,444,358,176,233,745,650,289,451,
746,753,378,693,770,665,509,050,673,541,289,483,875,874,755,752,675,303,879,
253,386,724,253,990,817,428,121,851,879,192,999,353,376,211,847,494,598,839,
536,911,184,872,130,886,686,128,798,312,263,473,894,772,516,601,770,754,172,
825,591,768,009,842,496,252,704,428,585,034,754,149,401,782,953,396,532,475,
558,198,372,120,554,994,367,436,994,251,656,573,364,518,357,456,719,385,908,
504,897,047,538,796,999,488,272,069,200,461,716,873,728,614,133,324,200,717,
597,415,450,881,327,407,276,665,129,150,131,083,951,924,452,090,943,320,164,
396,019,041,867,266,515,372,043,027,700,936,590,051,195,762,446,778,115,251,
055,319,333,769,757,302,301,673,926,125,778,146,774,450,825,299,243,537,376,
789,022,310,027,658,129,179,573,319,120,172,420,919,065,895,114,765,496,113,
873,970,093,680,825,911,977,805,850,801,485,175,615,483,888,638,980,043,549,
068,876,942,998,129,526,323,142,364,654,594,784,427,443,262,698,929,005,718,
510,584,403,174,193,631,180,079,181,098,975,454,525,385,031,312,742,115,845,
995,008,892,203,242,720,663,904,371,853,158,296,364,566,527,564,833,723,761,
906,451,232,536,228,936,496,058,374,865,618,501,679,192,439,314,410,218,448,
088,160,027,641,885,565,349,504,173,595,410,621,029,572,243,366,445,686,138,
075,021,189,251,268,456,293,469,306,174,388,519,162,031,100,422,374,981,834,
701,526,573,795,668,704,893,384,003,742,778,760,582,775,801,221,612,284,012,
187,402,890,777,159,006,414,144,252,580,938,091,869,154,089,211,848,833,338,
210,000,038,807,790,530,595,655,745,108,458,466,180,015,220,511,533,446,704,
102,636,488,729,978,010,706,357,876,018,940,560,738,392,183,116,129,018,037,
065,896,462,927,795,095,547,460,412,025,703,763,160,319,463,179,974,328,985,
984,828,927,672,699,580,340,314,353,147,351,133,997,931,677,335,024,929,449,
317,453,830,813,568,791,952,088,794,156,592,390,269,219,455,051,219,798,723,
389,140,767,205,949,386,884,882,626,287,652,734,461,233,226,312,369,170,553,
171,584,227,998,694,018,008,947,799,900,085,163,394,680,649,543,012,428,886,
849,211,485,676,262,405,131,038,319,370,452,557,659,386,517,335,385,385,671,
315,367,429,879,718,443,561,480,850,384,060,581,295,312,427,495,644,574,014,
860,676,204,523,540,591,883,380,835,969,452,609,173,072,580,607,770,180,151,
306,696,670,798,906,649,193,544,747,327,398,162,164,049,975,587,583,094,779,
186,732,401,336,979,254,249,149,533,399,054,652,053,466,226,238,958,418,944,
306,123,532,345,618,192,790,360,254,726,748,662,466,236,576,457,157,737,189,
633,151,807,492,901,548,772,218,046,281,340,209,366,626,132,334,764,251,424,
120,413,065,203,948,353,843,520,005,559,351,571,296,355,097,063,775,031,177,
546,963,584,381,106,178,639,670,550,235,763,389,834,703,262,407,644,035,727,
789,012,545,327,521,129,942,979,956,552,591,489,331,318,543,781,023,195,038,
478,260,596,959,384,333,021,175,961,845,026,502,188,167,550,558,848,072,261,
967,318,330,503,442,654,237,936,688,398,363,417,476,358,112,322,748,344,408,
264,736,549,502,500,480,466,976,296,604,607,424,612,004,423,782,786,995,642,
670,144,201,803,287,140,315,235,459,490,878,120,325,517,491,744,620,067,249,
495,065,307,431,840,922,673,236,104,418,794,226,571,090,010,012,309,586,183,
471,956,220,709,790,360,350,541,872,314,372,752,595,716,991,313,012,612,447,
097,704,300,682,094,269,558,570,173,791,383,689,161,267,693,567,462,903,897,
049,067,750,921,353,054,038,886,950,473,239,808,502,105,277,877,663,397,363,
465,030,312,782,561,203,584,077,762,159,074,293,135,307,245,442,148,162,310,
404,428,439,828,630,540,083,610,216,062,893,761,194,607,227,373,528,934,178,
562,537,790,534,814,863,947,787,057,745,020,817,431,479,422,432,334,393,716,
499,647,380,454,693,784,600,945,847,784,180,157,955,717,674,994,112,941,199,
470,487,346,613,007,823,649,858,706,096,147,822,816,899,089,853,378,566,667,
151,307,207,508,120,967,810,458,854,214,800,911,282,061,350,452,155,130,064,
243,881,768,241,748,466,189,052,943,503,744,600,738,731,440,160,616,551,321,
780,632,159,862,700,473,640,278,293,194,205,088,102,279,756,002,628,928,065,
076,108,098,865,543,016,698,530,735,325,834,906,052,281,431,125,495,043,147,
568,800,935,801,321,437,671,579,040,359,656,551,743,672,248,488,045,260,879,
610,857,819,663,163,181,795,668,228,156,014,213,005,499,884,160,639,424,518,
200,376,316,966,006,791,273,383,940,966,119,414,355,310,460,363,507,149,074,
957,062,902,788,042,802,632,713,021,790,387,817,870,286,707,267,193,592,244,
000,080,428,741,537,757,610,677,339,508,734,501,401,448,958,368,591,812,412,
835,726,263,667,956,939,109,429,500,472,824,949,938,761,753,931,658,784,390,
050,552,103,913,633,956,248,517,142,069,222,904,508,181,220,147,376,279,277,
850,852,362,292,657,846,663,012,379,201,412,319,472,674,208,834,527,969,337,
120,523,862,734,953,550,912,960,053,428,704,763,892,397,891,081,565,367,192,
197,906,377,872,406,641,725,016,538,663,825,572,368,074,609,844,445,758,227,
001,919,052,729,135,896,782,451,663,395,566,556,673,476,048,065,895,446,118,
445,916,489,060,790,247,688,155,095,459,825,237,089,371,084,755,282,832,286,
977,659,430,532,025,783,860,492,131,440,970,184,483,460,979,305,585,978,160,
650,792,335,599,257,476,119,297,088,288,350,121,680,812,507,890,799,768,163,
067,852,917,663,673,744,429,629,646,319,535,702,242,627,358,058,415,687,070,
355,066,394,175,435,924,747,427,558,690,210,462,382,658,053,769,888,723,390,
068,124,956,498,537,970,239,830,559,799,043,239,387,431,073,887,248,436,451,
282,202,255,538,982,586,624,398,519,968,844,839,047,520,986,202,308,095,095,
636,468,586,554,516,783,719,276,595,156,099,016,513,100,131,001,698,221,985,
455,523,705,538,220,036,605,361,518,870,501,489,535,527,149,707,342,658,829,
494,915,503,205,682,959,070,703,839,594,404,100,121,426,139,696,057,953,527,
439,383,025,522,637,480,091,413,270,304,994,679,012,304,323,342,543,631,318,
915,426,646,811,673,104,061,497,738,039,789,865,539,034,827,311,637,041,613,
620,518,429,908,412,485,222,612,645,669,206,225,255,599,409,060,480,531,862,
844,123,728,625,020,657,958,470,802,533,537,446,659,601,883,473,691,687,031,
797,986,233,106,203,578,705,766,932,255,137,324,569,314,357,489,293,464,293,
001,838,883,929,046,210,475,885,512,701,144,457,960,115,888,108,693,504,550,
398,102,772,152,093,755,439,757,309,894,519,471,038,827,074,074,465,590,905,
580,256,360,498,211,261,910,108,243,354,641,473,004,288,966,548,438,384,594,
704,602,353,712,486,867,785,794,460,881,173,988,509,790,337,278,127,243,630,
797,051,195,516,487,672,456,180,079,837,092,236,477,098,133,500,581,594,581,
573,489,243,066,676,296,332,328,923,119,408,276,237,925,179,770,547,918,979,
004,460,910,739,946,007,173,014,455,626,721,580,325,860,575,862,846,198,326,
445,890,154,092,708,013,842,104,648,655,685,368,893,385,795,130,883,107,278,
127,462,616,209,600,370,960,857,542,880,758,759,294,952,843,439,386,965,822,
414,677,174,991,881,788,818,204,567,417,670,502,296,921,882,837,109,258,056,
794,459,762,021,798,630,104,225,645,045,625,795,007,182,271,871,516,735,177,
294,719,394,678,214,468,684,899,846,186,138,786,143,261,167,980,962,925,976,
356,041,138,892,692,421,172,567,338,083,137,912,367,197,613,364,329,664,018,
244,266,672,473,161,830,311,878,825,898,171,082,030,763,965,034,353,414,283,
084,571,877,030,969,756,847,643,599,503,217,387,592,725,488,707,181,593,383,
052,257,108,454,202,765,225,783,159,512,356,054,452,316,716,633,284,341,170,
921,526,197,585,194,932,145,442,157,384,116,978,323,614,814,311,053,262,767,
572,628,056,207,411,900,793,612,369,126,805,891,968,629,902,489,286,554,125,
001,464,418,827,979,133,358,763,367,601,770,088,916,870,885,525,865,478,856,
144,734,940,446,715,688,884,691,180,666,743,879,164,420,737,811,578,033,271,
174,945,240,649,121,629,260,064,792,560,820,617,907,618,225,507,545,526,556,
754,917,717,037,355,860,508,320,100,770,600,274,839,187,222,402,343,684,929,
801,213,760,634,427,056,334,336,472,731,061,657,595,026,945,141,444,228,274,
458,911,497,807,318,392,205,328,774,426,368,982,796,899,415,308,729,432,285,
541,152,258,495,691,803,498,722,442,927,759,436,394,529,967,557,496,307,122,
971,578,581,228,485,712,223,498,081,178,273,440,083,201,570,564,555,764,300,
143,902,117,377,419,957,388,681,419,634,014,045,767,167,229,325,829,127,019,
657,161,841,333,993,507,602,705,983,817,285,786,995,200,412,494,347,990,203,
940,448,603,537,238,224,253,827,119,428,928,941,620,361,975,405,795,799,546,
455,435,540,756,061,880,920,197,796,548,837,559,726,605,122,091,789,561,411,
101,551,517,567,377,247,139,710,882,163,593,969,765,066,023,241,880,604,111,
530,055,812,876,151,454,084,317,545,489,755,636,781,742,444,564,886,376,387,
175,664,354,972,297,705,269,165,763,291,378,346,371,927,524,831,896,201,258,
516,773,089,926,612,003,364,967,233,477,315,735,301,981,285,555,334,478,512,
668,174,111,674,195,906,348,088,023,668,002,456,037,523,659,227,116,384,525,
118,505,596,760,749,788,182,160,083,375,741,965,246,380,535,489,953,100,809,
704,375,679,075,484,120,497,743,060,234,818,783,544,381,257,190,074,225,226,
234,701,067,017,531,545,999,993,368,401,541,928,537,932,709,779,505,831,799,
260,168,190,620,291,748,782,052,950,429,751,837,303,299,509,864,934,027,607,
666,236,219,730,735,589,239,996,096,798,132,299,921,432,034,899,933,814,731,
022,143,318,425,936,698,825,869,469,798,777,671,870,455,336,617,395,164,420,
277,411,369,218,635,692,323,371,853,283,173,083,754,233,554,828,206,619,460,
615,508,574,946,658,665,182,673,416,802,426,254,688,363,366,647,164,441,487,
938,237,521,091,055,067,306,765,381,474,825,911,294,566,648,843,606,929,855,
673,566,462,002,135,056,021,112,812,974,233,760,759,790,601,361,948,553,887,
195,140,259,229,179,695,036,550,534,128,787,987,656,509,874,611,999,228,365,
623,957,121,536,749,739,814,721,411,793,037,422,114,029,640,285,694,984,738,
318,100,123,690,000,599,323,152,122,433,280,339,890,077,662,666,810,886,547,
646,668,203,700,608,702,091,935,698,185,451,003,995,034,822,601,602,892,291,
440,418,649,317,063,125,424,037,174,160,475,460,934,766,431,833,572,018,626,
725,646,907,699,251,696,220,847,535,625,873,792,387,818,853,685,737,800,688,
553,261,566,854,346,792,322,305,093,718,739,096,684,102,514,622,253,264,413,
421,738,082,994,858,738,267,174,611,127,125,777,596,398,021,428,823,330,015,
173,462,999,862,291,012,139,096,035,856,060,007,747,654,407,644,072,651,424,
457,479,185,134,751,482,447,606,713,114,097,549,561,596,878,077,313,158,819,
220,632,251,231,644,379,094,559,669,981,325,167,454,046,618,609,615,162,619,
494,318,320,821,499,707,827,077,003,116,753,829,462,632,794,671,440,767,569,
290,226,050,399,744,301,259,564,461,191,221,543,830,720,076,986,345,005,370,
106,954,512,875,234,755,121,864,891,779,871,357,886,259,291,005,583,703,082,
412,295,233,185,526,033,600,067,542,871,723,462,883,982,753,180,115,571,444,
325,284,577,144,587,691,344,690,955,142,772,246,901,546,632,979,538,887,247,
814,210,539,530,293,361,461,389,809,939,647,375,482,159,578,400,985,542,893,
325,688,450,672,268,182,652,553,173,762,925,217,381,500,617,541,063,146,827,
921,334,360,002,279,421,577,879,649,881,822,120,710,790,701,138,431,811,765,
161,068,082,484,141,831,117,953,823,165,928,805,579,747,591,145,571,382,647,
163,201,250,379,597,321,619,881,651,403,113,905,648,510,685,661,213,524,610,
226,441,338,533,411,095,331,469,050,175,729,563,606,758,192,516,839,349,398,
299,877,941,961,336,522,502,729,341,368,957,033,935,840,924,137,495,431,647,
193,685,471,439,700,896,308,077,516,399,092,129,461,481,021,318,821,981,696,
244,054,025,598,221,097,710,676,662,599,651,849,025,801,687,351,838,000,303,
098,628,232,648,083,902,184,607,391,110,875,289,199,381,765,825,732,911,140,
839,000,083,816,330,417,635,591,035,904,148,660,107,948,407,023,753,508,452,
138,782,985,656,533,988,558,099,671,016,818,961,007,407,198,263,212,896,699,
642,896,400,801,462,740,384,296,463,242,286,931,646,527,356,866,733,559,888,
874,572,636,240,693,360,316,804,641,414,125,494,133,436,768,813,627,087,065,
149,462,895,769,297,628,305,003,182,383,638,902,411,443,859,973,256,030,445,
486,952,102,417,593,728,046,843,042,883,926,220,000,747,766,821,213,869,024,
610,814,870,659,465,200,748,974,238,481,273,497,199,474,644,658,919,488,536,
352,047,915,918,014,477,079,912,896,897,154,811,170,247,250,153,071,391,422,
996,681,280,686,882,736,366,495,390,609,875,923,807,462,003,491,224,284,192,
136,153,487,548,438,804,116,085,829,256,670,829,022,060,388,255,619,258,497,
965,489,491,857,638,532,262,205,196,205,986,071,880,534,393,595,525,894,861,
936,323,684,653,790,747,801,728,478,861,626,998,217,618,651,412,819,715,995,
644,730,880,246,687,805,291,959,533,355,267,040,473,813,856,485,631,369,908,
301,828,750,405,252,325,720,603,498,801,013,547,450,768,866,131,248,594,870,
695,967,574,465,765,299,927,631,382,346,696,500,855,876,938,725,655,305,729,
871,074,797,030,049,578,565,691,476,485,324,434,455,929,566,925,606,977,953,
950,364,333,251,485,193,258,591,119,574,424,145,512,886,943,302,293,070,604,
839,441,772,961,587,631,698,624,746,320,174,312,557,715,962,525,572,922,462,
609,909,406,097,129,154,375,569,430,280,694,917,541,358,116,973,307,678,807,
058,034,645,678,132,468,954,181,737,642,822,559,133,452,522,320,520,360,141,
236,000,283,588,197,458,802,722,297,319,906,392,550,406,397,762,463,677,664,
624,685,510,894,817,827,804,952,630,266,744,072,537,419,676,844,974,517,382,
579,415,402,112,556,031,698,340,748,286,380,744,472,085,765,101,836,249,413,
717,520,741,959,176,436,799,825,282,444,649,688,047,742,427,790,925,828,148,
426,715,639,057,201,644,698,733,078,111,918,106,297,876,099,835,819,078,467,
967,946,436,384,137,553,839,621,060,931,899,701,776,573,311,392,110,616,855,
840,270,890,964,816,712,868,713,979,154,141,745,454,596,809,228,661,692,460,
874,301,212,389,635,348,788,530,620,164,121,554,955,007,716,404,070,952,413,
628,393,984,486,707,930,777,418,472,507,363,729,880,288,679,863,947,476,339,
974,871,857,218,929,401,855,935,127,967,460,087,373,796,129,909,000,665,349,
320,552,334,747,355,289,309,112,751,983,973,818,214,865,967,219,396,861,362,
978,998,375,228,881,073,515,340,762,107,346,017,492,502,874,074,792,463,681,
516,324,876,033,311,725,787,991,727,835,631,929,191,571,202,329,330,850,972,
084,970,041,851,828,147,934,002,372,551,675,266,873,926,923,407,588,024,734,
366,892,658,697,175,475,837,280,449,829,728,995,132,992,524,679,949,664,861,
387,673,934,270,200,320,689,764,785,381,513,285,836,237,445,669,088,538,468,
442,531,155,986,927,370,870,701,156,425,705,191,073,373,140,158,695,856,936,
455,202,323,359,626,052,217,463,350,075,117,071,828,422,458,161,921,477,096,
003,508,032,095,729,835,835,337,260,684,595,898,571,099,037,222,664,206,468,
992,817,387,248,435,172,986,161,343,964,864,410,893,228,777,934,166,526,182,
764,883,636,673,318,309,098,634,181,780,891,453,901,751,737,461,010,387,476,
343,344,601,557,198,951,867,893,154,298,553,860,699,005,988,740,177,963,168,
349,325,649,165,865,828,924,856,901,495,127,340,147,089,558,864,547,095,876,
341,246,331,162,846,373,891,914,774,499,445,599,038,756,261,745,711,235,542,
244,378,482,397,519,278,481,410,452,363,558,495,207,126,175,662,313,142,467,
138,303,337,656,048,618,223,814,761,081,810,649,348,658,730,603,970,946,459,
880,463,683,031,889,227,569,911,360,427,211,160,120,715,806,624,563,231,257,
067,246,972,552,186,730,664,892,355,869,538,557,128,944,516,851,386,784,732,
663,042,289,936,855,380,889,393,862,016,654,464,176,370,865,775,809,121,858,
491,541,947,296,507,330,866,188,421,820,571,049,277,866,808,039,909,220,155,
491,319,369,583,730,580,402,746,987,923,114,193,909,860,109,894,120,880,143,
100,276,682,277,757,721,766,796,577,833,608,528,101,148,151,020,258,032,136,
537,459,536,753,758,578,991,052,198,821,396,065,603,195,150,074,271,092,939,
525,675,735,177,197,263,400,998,460,957,220,509,388,188,445,613,904,573,206,
462,751,312,301,948,873,539,923,922,103,373,096,484,362,121,360,379,333,564,
255,542,923,369,089,475,860,066,892,367,420,668,693,173,275,881,654,560,206,
646,093,544,241,716,637,002,035,345,896,492,762,270,329,460,033,266,189,280,
933,596,556,193,597,079,893,290,540,530,227,568,348,050,186,911,709,178,703,
202,236,013,215,444,628,294,487,947,876,674,217,396,842,757,761,128,638,059,
428,649,694,069,199,180,661,748,853,544,996,289,731,413,075,064,177,034,191,
959,314,501,628,604,666,863,689,363,901,675,832,125,486,456,092,793,721,711,
501,371,506,616,986,050,845,001,468,999,249,697,232,021,997,966,942,581,888,
993,123,939,169,853,320,391,645,649,697,642,780,971,121,319,021,903,523,071,
664,107,413,304,965,188,319,352,250,773,817,261,029,817,454,345,333,610,955,
023,214,063,227,757,020,982,242,145,828,691,395,520,527,663,632,944,574,922,
562,006,885,937,906,533,810,130,934,291,372,907,893,668,643,537,773,849,409,
832,759,789,391,140,245,402,657,539,258,029,495,122,242,699,638,914,026,306,
807,055,309,967,602,130,346,872,040,311,059,277,152,776,049,580,573,459,770,
439,095,689,927,357,377,712,553,184,547,372,551,072,526,676,116,876,453,661,
897,177,713,115,223,906,795,957,246,849,908,114,495,967,317,672,880,545,102,
600,911,534,062,164,566,727,663,116,727,009,907,764,896,305,655,335,974,292,
353,161,323,986,874,310,397,942,683,125,548,885,038,358,557,532,570,479,805,
261,401,019,036,545,152,361,927,439,119,642,906,691,558,670,969,112,811,794,
149,324,543,591,990,405,006,227,214,425,591,350,924,502,004,284,329,427,594,
953,650,031,921,041,126,157,293,967,990,216,989,391,841,190,734,054,406,914,
249,728,053,014,770,459,469,542,738,616,159,309,919,723,650,145,022,666,917,
724,540,383,009,379,102,861,361,928,558,289,546,471,970,832,657,902,616,025,
960,786,549,585,891,555,084,292,373,401,744,328,018,644,480,536,515,107,193,
458,437,005,642,948,735,879,923,012,681,390,830,475,955,923,918,636,735,859,
995,524,071,570,093,600,793,263,326,417,548,814,014,172,394,864,218,919,322,
512,611,020,827,687,054,914,455,519,030,170,122,407,096,477,282,942,697,355,
438,107,321,122,031,865,427,875,622,896,546,455,130,251,694,652,479,152,652,
152,238,028,538,879,216,983,092,568,444,145,158,868,199,097,924,354,154,639,
524,543,287,856,188,812,209,334,923,563,674,977,714,434,038,179,813,615,196,
400,024,470,081,904,093,526,175,574,277,029,272,376,790,072,447,367,612,625,
327,727,341,806,323,361,823,066,899,612,714,839,072,873,156,235,920,795,128,
913,653,924,335,596,956,714,685,378,070,099,139,434,758,641,673,638,785,356,
771,074,801,696,900,464,424,206,701,982,311,690,652,404,437,481,679,160,101,
045,681,708,506,422,581,143,269,257,925,928,909,022,341,402,232,623,533,780,
127,733,130,808,704,595,887,773,278,872,034,789,955,958,805,632,862,205,894,
191,947,281,956,672,303,508,446,505,981,050,659,689,551,326,349,201,326,504,
473,497,910,284,241,573,791,241,124,618,566,141,942,857,047,009,357,251,953,
810,820,329,818,507,145,314,528,391,204,424,452,217,687,367,829,415,267,755,
169,513,582,486,943,802,205,248,810,559,096,256,113,218,047,102,503,296,138,
893,855,069,774,355,117,844,313,158,060,396,312,015,348,488,503,284,704,618,
270,322,602,354,150,485,492,887,144,539,998,624,894,022,034,608,102,936,612,
943,612,117,954,827,578,819,138,960,465,111,283,420,800,733,914,140,320,460,
299,016,341,996,500,921,771,335,343,375,245,730,700,998,683,790,129,472,982,
609,402,645,923,237,341,431,965,912,094,430,614,841,457,833,833,567,522,410,
236,150,103,611,278,852,127,991,022,481,673,238,195,462,467,123,385,907,050,
958,117,511,041,647,452,465,537,589,822,194,597,549,084,494,278,332,620,150,
997,150,490,470,314,119,870,340,316,525,997,419,505,930,527,452,708,401,075,
537,001,268,859,678,944,485,431,795,225,592,587,172,715,054,368,361,065,878,
227,495,958,889,029,114,705,293,579,677,845,679,665,334,572,674,393,506,405,
771,141,160,636,358,525,678,481,305,762,670,960,789,141,761,008,567,883,365,
674,902,993,522,570,585,664,871,292,518,547,783,210,274,758,218,508,012,192,
347,259,136,117,468,343,569,814,975,972,216,660,756,714,808,351,914,811,832,
887,570,439,149,354,028,297,977,352,208,307,112,367,890,381,034,237,798,004,
918,017,083,473,492,896,582,522,003,475,884,541,542,184,104,492,672,673,327,
311,328,116,813,595,096,714,693,881,099,413,749,194,966,719,566,526,863,654,
860,113,265,340,864,362,342,605,370,250,457,071,357,493,819,881,405,052,261,
016,612,043,559,972,589,138,134,248,939,028,236,357,862,107,107,218,538,237,
358,401,911,057,781,301,623,078,195,176,319,184,425,043,643,791,995,340,125,
419,033,149,187,923,863,110,207,852,393,166,688,578,735,548,549,763,994,962,
832,061,303,715,294,840,405,384,919,360,694,803,180,192,436,692,494,484,041,
303,321,953,601,553,414,914,361,520,999,080,942,059,321,298,146,924,627,197,
498,746,520,481,560,118,758,054,647,957,033,049,071,112,119,523,451,450,790,
589,740,887,373,828,495,796,388,666,705,144,189,548,345,641,715,381,907,538,
545,792,200,092,877,086,822,283,357,145,197,692,283,619,064,946,302,906,065,
478,561,134,810,973,695,699,558,673,735,926,651,331,921,308,645,297,153,803,
791,519,444,390,849,858,076,043,095,161,425,710,037,095,911,564,923,318,593,
910,147,554,985,213,083,738,924,074,734,906,579,830,382,721,984,837,814,735,
288,718,454,564,914,196,967,902,990,913,437,070,922,593,799,643,465,111,438,
654,659,646,818,653,304,792,752,085,399,144,246,604,608,615,286,162,782,198,
031,016,107,029,595,341,525,942,099,048,196,154,041,614,225,503,864,949,107,
449,474,536,167,442,041,181,258,512,597,738,962,104,407,948,347,456,926,898,
468,801,815,555,085,512,877,232,954,723,998,024,114,212,203,798,125,221,563,
611,293,460,214,118,462,186,893,034,482,852,124,144,164,909,218,335,600,577,
180,556,249,912,179,241,669,700,527,284,627,772,341,521,931,341,406,223,448,
319,350,708,838,190,313,664,387,954,297,385,982,864,692,271,741,380,800,553,
358,173,153,675,776,962,752,589,516,603,833,666,936,640,248,807,252,438,038,
419,373,961,510,216,519,398,698,002,817,943,208,531,258,277,084,196,686,736,
298,847,506,315,182,432,972,617,451,350,379,911,799,130,186,827,584,377,564,
044,218,775,472,634,336,342,437,137,191,687,171,199,880,728,932,079,090,478,
564,003,372,678,867,326,967,653,722,039,213,674,921,864,767,140,384,223,680,
360,477,282,288,745,304,033,065,333,541,388,205,765,313,741,696,964,401,242,
678,039,569,382,001,916,802,411,078,296,867,372,825,304,076,742,359,957,265,
473,162,270,370,238,812,570,771,061,767,007,293,552,321,949,793,587,530,510,
078,574,672,184,054,039,770,294,877,215,096,466,212,703,795,679,910,957,324,
345,824,810,659,023,615,122,179,860,119,490,087,741,326,183,467,796,673,492,
840,886,339,020,270,957,827,942,424,233,130,109,015,125,556,539,241,503,878,
737,068,886,020,024,227,960,679,111,129,532,288,187,870,583,824,637,033,960,
542,726,968,742,686,846,569,882,451,651,575,038,987,233,270,521,484,051,844,
218,512,622,076,203,966,446,189,603,243,128,877,729,064,493,551,119,862,015,
930,487,909,737,848,273,131,942,622,884,209,390,235,555,479,756,567,376,105,
523,991,017,050,939,598,514,889,788,486,430,227,772,166,564,035,274,480,329,
308,582,303,567,159,234,397,208,483,262,793,851,627,372,960,591,971,385,640,
282,850,754,359,875,729,296,484,146,416,886,930,781,944,276,901,618,852,667,
581,211,264,105,787,387,239,483,907,097,541,457,187,559,716,110,728,202,834,
664,728,689,529,854,052,719,704,505,005,485,941,914,873,563,495,821,786,698,
057,472,881,290,723,300,837,360,855,543,677,062,212,068,733,613,193,970,281,
786,386,343,348,397,148,099,500,468,438,453,229,989,996,285,497,972,514,191,
771,911,993,446,766,549,677,891,887,882,290,915,005,420,293,310,128,394,391,
325,720,993,131,226,031,641,691,723,632,391,863,871,106,147,653,509,279,737,
790,252,148,885,051,375,717,091,267,210,863,620,380,210,691,674,995,334,928,
088,265,429,125,595,043,028,590,839,117,669,320,484,292,114,157,690,795,909,
173,324,560,747,183,606,530,370,630,574,068,743,271,022,844,626,716,374,825,
888,792,864,497,210,855,277,146,896,501,841,425,168,027,208,226,958,341,420,
266,736,576,759,920,057,123,103,833,161,931,603,840,041,826,697,865,920,549,
017,545,947,560,844,318,071,260,322,442,769,158,955,977,867,250,065,598,396,
430,621,976,180,212,248,248,993,803,104,328,709,514,486,363,777,021,034,422,
937,916,440,287,821,677,054,116,489,066,862,871,722,337,946,994,444,320,564,
223,367,573,845,607,643,032,929,550,060,862,810,919,276,801,543,046,420,344,
708,280,938,195,460,968,981,714,174,918,552,236,741,588,312,489,816,948,098,
280,289,117,638,835,548,510,073,495,565,476,083,568,300,595,209,587,624,940,
433,247,965,167,911,022,453,482,249,332,940,482,291,021,605,591,533,137,337,
996,251,307,534,114,523,732,596,898,698,201,931,707,877,960,571,941,948,768,
025,824,744,373,525,956,161,530,365,470,758,706,421,447,855,198,970,967,701,
589,486,406,356,690,110,088,476,923,313,691,583,739,230,319,096,020,477,836,
008,061,038,607,600,653,634,996,582,149,036,637,491,452,426,540,884,087,551,
429,347,248,105,238,640,600,598,480,943,386,224,638,765,845,638,229,653,275,
151,194,073,807,136,853,583,903,841,545,591,251,920,819,949,571,928,155,350,
492,783,523,851,271,362,668,989,686,745,068,278,906,609,843,801,556,483,285,
765,543,647,078,766,575,246,672,296,057,194,374,061,405,922,505,032,757,534,
535,544,979,244,588,124,352,990,427,961,416,034,915,420,281,239,552,415,671,
378,409,096,213,800,093,759,147,359,886,561,212,438,054,042,656,550,855,506,
323,551,585,495,311,352,684,638,124,996,515,936,887,568,708,471,290,016,436,
750,517,990,265,315,990,464,064,712,684,384,311,359,668,461,112,275,594,493,
515,953,268,571,834,694,660,032,304,437,670,269,914,123,600,646,975,109,221,
008,807,835,250,475,443,784,534,351,103,680,631,475,137,070,679,842,927,624,
366,562,071,816,063,578,222,632,851,772,938,219,647,932,448,535,047,199,991,
371,109,198,018,981,880,550,646,927,314,152,045,122,155,491,786,648,985,432,
346,489,420,525,428,503,422,420,185,743,003,392,001,175,442,200,074,062,996,
877,332,407,242,434,433,791,097,275,812,916,929,248,368,710,794,013,038,751,
227,496,941,173,915,925,843,184,141,194,540,311,065,240,591,265,167,654,944,
456,025,978,821,792,624,929,160,014,625,943,907,827,225,957,880,698,241,789,
687,393,732,116,910,658,480,375,432,887,347,820,083,726,973,453,520,936,077,
046,651,287,134,617,597,954,488,541,313,520,773,639,831,856,250,059,679,348,
227,492,783,232,488,277,673,345,289,572,959,577,778,191,495,720,034,131,165,
132,317,471,562,201,213,903,767,804,921,625,669,710,391,957,826,954,815,124,
774,269,023,250,516,343,796,985,941,168,928,523,372,506,666,702,547,823,564,
348,019,199,585,220,017,856,463,813,314,712,291,244,854,965,064,715,825,592,
851,545,580,140,724,301,917,099,554,062,469,729,370,730,853,178,706,274,292,
479,443,376,453,887,249,555,272,488,127,241,304,375,035,696,023,599,722,207,
271,682,326,406,195,628,971,408,471,157,560,177,516,628,995,740,664,258,917,
338,378,348,371,741,903,688,643,343,794,533,897,425,382,416,504,135,052,011,
375,984,060,488,366,036,546,529,287,468,630,734,382,010,840,477,523,235,695,
152,983,048,082,022,841,930,610,851,143,869,611,176,499,701,539,322,620,979,
428,214,898,892,188,022,072,512,223,554,061,830,378,449,046,002,811,790,022,
125,403,425,478,029,107,005,349,603,422,550,518,224,908,007,041,166,833,494,
552,722,727,088,032,727,163,469,038,470,841,646,033,154,740,660,935,558,212,
005,217,213,671,265,507,923,408,417,839,796,702,365,651,097,940,377,702,202,
046,113,951,866,687,380,384,053,375,026,161,028,417,087,663,070,715,694,154,
192,516,658,045,804,073,360,613,157,045,747,327,545,524,471,806,117,120,358,
078,465,185,435,969,011,436,707,162,662,149,498,863,798,806,910,149,454,435,
016,177,106,449,518,609,885,511,588,332,793,033,764,185,084,255,090,595,573,
013,993,148,055,307,405,056,658,312,202,596,690,876,351,226,968,257,169,455,
368,614,798,807,079,296,797,010,784,658,232,777,047,580,937,842,670,700,521,
611,942,211,159,512,165,531,353,798,526,463,809,312,248,600,316,267,584,299,
391,440,642,676,541,485,723,615,788,911,669,528,053,036,059,728,494,965,774,
704,272,309,036,566,363,450,760,081,648,005,224,767,349,111,342,387,738,327,
491,069,490,247,764,078,550,895,583,610,200,527,560,283,522,334,633,946,221,
926,105,076,835,197,310,157,387,814,889,288,505,015,381,817,061,548,541,688,
819,328,285,482,992,453,174,372,372,447,225,025,093,928,025,981,994,409,382,
397,422,933,395,733,633,576,669,357,292,756,293,697,753,128,340,443,634,426,
131,570,474,708,581,918,730,212,501,967,980,733,775,033,353,044,718,902,760,
939,934,462,842,041,338,696,997,799,930,063,149,940,025,016,348,454,609,351,
849,835,639,958,377,840,846,072,410,720,176,986,451,610,111,849,838,546,030,
168,277,006,970,673,392,452,183,052,626,991,002,338,439,681,767,684,003,975,
079,849,860,008,920,852,973,110,261,027,841,981,365,009,707,634,937,822,740,
234,135,446,797,628,740,235,270,790,905,910,924,506,601,809,316,350,466,196,
258,449,729,489,319,966,163,679,009,883,420,037,622,627,904,268,249,306,752,
832,651,271,485,360,513,040,016,926,748,517,254,619,881,183,850,949,542,684,
883,899,323,000,644,158,803,072,271,319,199,225,743,368,069,853,045,503,856,
979,511,028,732,845,546,099,805,955,046,644,786,344,792,625,917,639,456,035,
954,564,443,141,357,346,406,478,116,181,677,448,636,699,036,497,530,532,761,
489,956,474,853,847,586,742,733,542,924,013,946,990,574,378,873,710,615,752,
889,047,395,426,320,940,290,772,835,633,794,667,795,848,156,650,421,709,371,
325,055,088,791,187,213,651,884,516,612,152,831,968,416,190,229,671,932,826,
952,786,581,324,308,549,233,938,769,357,096,529,298,423,545,016,621,955,259,
461,224,668,852,205,935,868,645,669,002,538,357,611,817,552,746,177,432,675,
878,884,611,278,111,787,051,601,980,175,000,306,324,190,033,242,372,984,615,
808,134,005,112,256,623,109,287,787,660,029,928,504,826,913,270,403,571,964,
824,177,255,288,664,589,065,850,588,308,118,362,692,196,415,261,430,857,925,
102,953,762,847,032,478,099,194,832,658,891,311,529,668,549,932,974,447,205,
118,618,345,382,541,517,813,252,159,799,825,598,616,223,473,822,324,273,258,
248,822,024,128,698,952,778,724,243,372,051,943,153,329,513,559,955,590,249,
991,787,262,997,421,904,039,968,850,955,046,536,294,247,295,481,572,758,437,
422,856,863,089,132,140,856,554,146,421,440,583,685,296,698,514,874,420,188,
765,093,687,256,590,031,815,815,021,879,904,727,753,920,652,663,743,093,599,
229,655,359,627,667,548,926,858,947,611,730,580,312,246,769,828,700,764,534,
696,196,830,141,205,867,595,312,549,494,033,254,217,321,270,783,935,864,766,
031,802,459,788,001,662,450,362,204,582,181,742,781,680,980,683,309,596,803,
967,328,771,656,523,245,351,367,986,970,667,495,631,851,274,035,441,620,773,
312,277,924,966,165,931,676,742,713,336,088,942,305,191,925,581,786,678,688,
360,827,207,179,901,064,625,358,017,531,162,662,108,680,754,555,714,746,827,
609,727,025,094,146,205,083,246,454,837,467,269,638,988,456,335,268,455,880,
444,405,985,111,715,001,038,120,851,920,186,556,995,280,450,025,806,715,193,
524,811,545,201,892,003,349,468,168,538,905,474,269,260,842,062,794,911,055,
661,711,555,413,415,773,397,266,022,305,098,323,242,043,734,998,494,110,561,
292,283,260,333,624,370,832,833,144,643,938,993,582,108,914,365,202,701,820,
541,027,019,778,921,136,372,535,807,022,491,936,977,630,089,766,893,331,169,
265,208,041,728,039,929,768,121,806,366,339,428,276,733,154,079,584,689,113,
596,505,101,033,680,895,219,689,691,136,490,247,381,581,119,262,782,541,091,
838,317,574,020,800,423,048,273,806,450,817,085,201,312,898,267,791,172,242,
643,076,291,889,368,486,758,443,186,131,642,522,725,369,005,006,587,043,036,
678,328,336,129,060,631,107,484,318,058,275,709,833,093,837,836,479,260,232,
778,506,583,523,800,130,594,397,299,418,432,512,696,703,951,407,623,190,359,
949,213,879,860,436,575,389,453,636,632,316,210,615,744,109,475,774,453,584,
674,876,076,292,883,053,406,436,138,575,382,573,519,102,674,367,449,871,387,
373,057,588,640,565,123,404,878,860,354,380,994,868,234,615,616,984,529,394,
403,899,579,365,500,334,349,002,598,927,806,161,956,849,182,772,130,053,748,
112,017,400,219,429,045,844,324,526,941,544,795,541,336,676,151,041,015,610,
767,407,120,919,049,555,020,285,107,281,646,344,558,860,900,875,079,548,043,
126,661,648,862,379,603,008,260,493,089,022,856,791,023,370,331,249,311,967,
668,677,674,390,259,301,607,726,809,650,950,312,811,665,286,497,640,318,968,
476,790,869,515,150,038,947,424,716,159,217,341,862,855,922,612,174,489,593,
700,533,034,611,736,314,770,211,429,228,797,691,363,507,656,418,815,589,892,
529,723,165,127,929,966,306,142,412,095,004,541,891,366,444,086,070,349,624,
117,134,213,748,325,253,596,905,424,479,510,668,083,381,063,995,527,613,953,
057,878,278,236,457,963,434,571,098,484,666,107,536,334,193,107,888,279,708,
796,877,789,928,295,157,382,681,846,868,242,285,067,393,807,664,991,540,125,
200,753,443,485,815,360,937,026,373,268,926,543,461,397,918,378,222,977,594,
095,176,840,898,512,364,281,007,687,086,318,102,044,464,565,468,056,211,986,
691,624,981,736,932,485,717,103,724,676,676,455,588,300,086,618,637,830,761,
470,405,315,870,109,544,889,886,973,627,765,988,853,251,153,070,704,291,525,
592,068,854,292,791,464,748,593,496,385,819,175,627,839,787,563,122,242,489,
561,989,549,414,652,241,627,805,638,277,601,827,684,366,727,174,210,461,239,
273,334,957,409,815,488,394,959,570,020,096,859,675,651,158,127,586,804,229,
866,188,071,565,725,082,668,410,022,201,846,378,185,630,815,993,457,399,810,
924,415,144,334,453,131,686,002,228,817,641,244,420,538,958,269,962,141,815,
993,552,770,133,149,989,125,360,470,895,100,748,991,816,291,365,480,362,766,
843,009,317,431,702,480,975,617,183,803,050,734,669,511,749,551,550,942,802,
784,853,863,276,932,801,462,849,272,350,298,392,991,777,743,628,101,833,018,
091,620,294,998,081,239,417,958,030,966,506,188,281,049,012,429,420,915,202,
047,962,392,541,038,502,155,104,980,840,205,482,732,718,241,775,177,275,134,
183,189,707,569,068,928,936,593,023,115,926,725,772,108,232,500,231,138,174,
166,181,056,110,229,589,718,430,745,187,899,734,453,162,345,321,942,286,167,
868,426,187,188,921,542,490,659,446,892,078,182,394,427,274,581,543,968,435,
626,593,491,542,837,340,145,111,966,736,049,053,409,327,935,320,511,181,007,
042,287,639,728,830,285,806,578,452,689,690,979,982,323,545,039,100,528,211,
261,752,907,021,971,181,604,614,959,020,184,534,457,463,876,888,640,328,608,
136,784,588,958,601,211,876,047,811,390,594,379,432,493,183,705,603,036,876,
138,890,410,200,863,335,653,345,345,364,622,411,312,257,004,133,225,823,503,
588,287,842,706,931,534,307,550,421,344,468,323,683,172,842,459,510,922,557,
711,896,328,278,723,526,140,077,709,548,535,471,082,846,974,406,110,364,665,
029,792,416,686,926,674,471,970,646,736,617,332,917,235,230,381,864,342,653,
152,749,262,415,862,723,074,895,422,224,316,973,237,829,393,969,042,078,335,
030,943,641,167,790,537,164,490,152,850,609,892,434,537,398,574,585,343,631,
228,982,278,323,899,629,145,027,112,903,791,577,944,608,830,063,724,049,808,
717,722,295,531,955,480,802,982,420,161,819,181,424,387,420,733,680,173,199,
039,444,252,622,457,769,059,507,796,254,128,060,839,587,785,218,998,168,823,
708,591,661,277,733,431,129,639,167,548,091,390,858,441,763,263,852,734,532,
560,322,632,522,121,819,611,135,254,834,444,105,979,765,587,650,995,139,127,
216,132,908,500,315,168,152,708,359,639,291,202,431,187,084,782,436,701,351,
996,747,196,685,902,587,148,945,070,539,244,042,270,897,838,129,369,768,924,
902,741,053,032,092,792,261,728,847,231,745,948,597,684,405,893,912,656,621,
054,739,042,446,823,471,892,873,587,618,811,486,004,725,073,510,577,219,255,
468,845,572,445,260,192,750,456,637,151,136,825,035,623,480,642,327,586,791,
041,889,406,094,004,889,546,503,696,369,263,473,508,589,256,335,578,478,885,
483,809,294,197,876,721,714,603,474,638,060,428,184,432,295,890,448,575,172,
057,838,957,623,694,899,127,688,362,499,357,120,456,501,840,910,861,750,275,
096,995,908,178,913,882,351,763,156,489,374,919,545,782,195,195,271,412,686,
094,269,493,815,044,637,308,558,032,961,171,878,759,650,041,537,299,928,516,
784,445,480,304,631,956,107,961,655,646,165,768,833,072,033,533,472,803,245,
934,559,091,108,685,480,387,379,598,992,018,614,395,204,874,107,891,528,349,
905,824,684,005,951,475,239,119,633,677,831,694,507,802,614,167,852,320,899,
547,141,395,493,489,150,670,503,009,062,203,974,299,251,496,168,811,009,069,
534,156,341,109,090,824,274,690,357,346,821,404,487,534,554,040,186,718,904,
568,809,030,110,864,891,246,566,343,182,936,736,817,374,880,613,627,046,697,
077,198,355,631,262,826,101,421,746,891,737,812,195,716,888,388,380,574,952,
455,459,842,135,419,460,366,151,666,417,194,810,900,753,294,654,381,651,526,
121,921,819,500,711,555,973,221,326,020,005,584,009,217,695,428,058,364,423,
840,643,824,939,632,733,261,495,629,455,939,348,289,073,295,367,256,311,389,
956,579,714,761,378,588,727,180,382,950,041,595,604,636,532,173,674,303,965,
322,299,924,127,334,815,612,194,316,046,905,713,115,433,793,157,700,445,868,
078,141,587,606,995,416,112,330,448,249,405,231,997,545,770,221,784,107,200,
047,312,848,212,720,890,201,246,802,627,417,948,347,547,337,699,527,423,345,
240,419,795,820,893,967,284,346,846,088,321,212,093,234,354,149,327,982,682,
937,459,218,524,552,708,070,255,537,965,402,566,897,648,704,800,205,724,961,
018,355,862,100,913,884,015,182,843,521,557,954,461,190,546,672,764,695,537,
422,721,621,688,538,988,346,332,863,051,575,685,827,578,611,721,657,100,662,
952,115,471,814,336,174,750,479,518,758,121,574,558,179,376,731,197,630,840,
564,331,041,075,159,070,810,770,088,048,898,955,928,675,100,818,328,132,613,
426,892,357,427,572,443,741,660,243,479,302,172,097,737,068,050,538,411,970,
304,580,198,881,166,567,459,736,296,670,964,881,175,279,791,504,255,542,295,
996,752,778,456,981,272,717,921,428,721,402,128,328,246,476,851,996,737,240,
089,369,244,630,562,504,763,240,659,066,302,114,802,145,168,850,934,183,869,
485,923,234,474,822,857,374,068,421,776,764,110,791,049,369,046,441,504,701,
580,118,825,354,416,699,630,035,990,303,954,321,534,436,298,536,882,146,153,
472,327,171,576,675,144,311,847,806,228,526,099,340,109,566,589,131,505,788,
820,557,244,409,098,447,964,816,335,195,733,266,825,807,440,982,423,650,853,
994,939,427,835,294,467,290,927,730,709,245,301,620,237,080,399,298,007,401,
764,574,678,939,213,632,805,612,221,329,306,079,719,640,550,668,052,239,041,
617,095,946,625,454,797,676,503,201,862,349,055,131,796,684,614,014,647,530,
099,109,510,505,288,746,382,028,920,520,332,343,613,922,492,034,773,587,498,
171,094,601,468,822,136,976,812,853,646,297,474,186,333,304,865,075,202,036,
642,910,710,065,348,817,008,863,992,206,144,240,440,672,232,045,630,503,027,
886,348,560,069,857,300,685,223,222,658,318,746,089,324,624,632,272,505,951,
586,260,634,191,717,195,741,804,389,121,720,692,117,714,708,105,183,182,023,
816,602,900,509,520,146,582,682,682,181,178,427,129,930,258,482,530,747,068,
446,200,115,841,963,914,833,901,547,381,531,713,261,608,369,479,726,870,886,
849,201,091,827,661,209,120,498,636,622,184,120,556,211,746,603,716,854,479,
934,678,355,361,062,979,532,338,870,626,408,658,572,492,551,671,291,635,297,
450,843,902,999,265,834,781,046,264,019,442,577,747,524,160,390,146,118,152,
739,867,959,761,225,354,979,816,199,318,989,209,824,635,385,993,159,682,810,
693,385,392,631,993,840,252,746,851,783,654,061,487,001,673,676,114,482,800,
224,950,160,258,609,830,437,049,437,508,812,203,825,251,912,362,392,349,956,
995,367,476,570,326,451,476,024,131,150,594,945,000,649,009,435,138,671,716,
619,540,528,443,218,001,306,715,098,730,752,624,471,210,058,453,819,369,984,
263,665,542,006,898,511,148,616,394,117,075,499,773,607,946,606,597,838,491,
046,544,587,369,645,825,495,956,537,660,201,103,879,071,054,816,966,863,298,
582,128,447,627,047,998,970,328,913,323,262,000,450,302,034,551,609,268,489,
045,145,465,699,864,147,054,663,259,292,180,492,738,862,065,075,921,432,782,
239,147,553,413,793,522,057,233,272,681,527,694,892,057,286,314,332,042,334,
148,857,703,443,968,265,880,256,814,104,063,858,402,897,984,164,497,455,150,
581,644,536,921,891,598,414,083,611,672,025,273,179,205,548,747,449,297,495,
713,248,034,851,003,015,232,607,056,213,325,527,419,126,231,345,385,784,010,
756,950,736,457,714,783,203,092,487,141,646,292,180,339,212,073,149,315,562,
293,741,023,014,094,144,238,954,925,726,135,390,849,858,075,849,565,937,751,
490,435,519,409,110,466,512,913,772,118,905,288,018,604,519,885,126,837,505,
875,735,849,655,768,193,815,129,645,908,991,866,238,045,485,407,841,783,622,
448,565,304,877,729,037,377,806,673,389,005,693,919,753,520,674,644,006,036,
229,094,275,792,027,844,460,629,454,170,652,056,507,727,583,211,694,873,323,
666,233,674,758,951,589,531,926,515,956,075,950,523,449,414,247,351,809,565,
466,924,602,234,876,820,037,363,963,321,416,345,894,095,911,965,343,624,664,
009,886,828,094,596,086,817,186,706,879,683,271,225,547,958,677,086,574,292,
346,397,778,928,910,143,132,012,762,877,845,862,560,439,231,467,871,178,034,
670,442,947,454,245,182,810,174,476,245,982,165,261,889,059,826,044,558,622,
878,141,368,780,619,942,120,173,223,233,554,038,628,561,545,537,443,302,858,
180,337,068,434,188,450,403,143,980,166,696,053,975,372,174,605,983,014,169,
345,256,176,038,850,275,274,615,252,854,755,835,913,064,059,056,295,669,815,
035,083,540,482,985,553,382,786,495,826,710,646,675,458,420,281,069,201,486,
570,214,193,318,762,431,525,633,392,976,875,820,645,891,283,615,781,662,981,
216,514,338,971,439,479,397,686,257,616,381,162,161,910,828,731,505,242,031,
439,449,249,710,797,387,305,831,050,509,838,602,993,943,921,433,684,537,047,
585,336,362,993,911,419,796,863,549,381,632,345,704,920,859,561,101,068,752,
251,024,768,972,565,963,235,821,759,444,105,111,048,194,491,474,663,493,313,
250,563,483,085,381,757,497,864,537,719,444,989,037,050,583,470,877,575,608,
920,925,831,069,661,404,436,160,892,891,443,137,234,952,060,366,929,196,434,
943,857,364,161,312,029,286,631,643,995,718,525,843,611,218,505,721,519,639,
935,040,429,898,704,263,225,279,979,608,893,476,930,989,070,411,006,829,006,
455,931,456,096,517,693,915,978,909,261,305,776,430,985,875,732,169,512,741,
031,750,238,746,202,063,370,538,240,144,689,284,702,417,533,068,067,150,258,
225,614,239,432,037,594,354,222,586,800,529,224,876,444,325,116,135,177,032,
943,517,296,125,492,235,152,680,175,539,576,943,952,828,115,364,358,578,262,
708,832,374,907,695,842,666,335,168,790,559,500,139,354,511,594,983,832,763,
123,446,526,012,798,558,476,989,289,316,172,845,466,593,501,434,031,372,277,
092,558,946,122,134,312,838,132,379,706,683,842,665,429,478,879,194,138,393,
189,195,619,500,699,407,720,421,966,285,025,674,488,120,246,158,338,904,704,
447,730,445,713,254,289,134,697,420,012,572,805,930,912,064,666,307,096,740,
461,224,554,831,149,579,013,267,385,757,791,996,157,350,420,760,302,055,906,
481,459,098,988,225,346,255,064,065,410,286,246,241,785,730,438,627,921,214,
982,295,773,205,405,353,873,128,804,144,243,059,787,062,162,791,294,344,525,
684,280,524,631,625,840,216,573,080,029,503,509,179,470,282,462,495,688,831,
716,882,491,264,976,295,643,566,548,067,494,892,780,428,081,032,187,407,743,
687,460,598,878,934,064,797,522,460,266,952,437,459,574,843,372,927,383,295,
126,118,572,692,014,569,347,714,924,221,865,686,652,171,587,895,369,583,428,
122,316,632,717,429,259,733,099,457,180,349,029,694,479,219,907,420,083,744,
451,125,380,648,860,755,360,387,144,275,029,149,046,531,826,897,766,636,485,
742,433,139,131,174,492,694,678,895,627,507,374,635,037,534,825,813,097,840,
723,890,013,268,897,771,977,280,456,534,137,807,388,359,775,432,359,387,348,
170,300,995,724,874,111,398,693,866,204,448,846,329,493,155,694,416,990,324,
248,566,018,807,352,159,655,533,226,123,963,314,368,973,489,720,346,453,514,
545,192,548,427,263,804,162,628,212,025,194,694,972,840,972,703,187,403,248,
278,019,046,448,583,158,353,852,101,224,839,852,748,311,685,884,217,430,810,
054,066,979,361,140,184,979,058,233,794,996,679,285,845,252,173,577,255,096,
495,976,806,953,340,060,362,891,900,935,873,903,603,564,000,977,070,839,504,
152,956,444,993,840,144,000,363,269,821,082,327,354,841,998,530,116,974,973,
983,401,776,081,394,578,850,478,414,618,052,452,783,154,394,723,320,141,698,
158,988,452,918,058,777,275,606,464,784,833,059,106,889,137,442,584,550,199,
949,441,214,271,436,202,626,172,616,512,813,479,971,762,954,819,887,462,502,
160,731,194,262,209,225,923,820,471,945,036,809,783,509,841,797,186,196,177,
944,473,966,376,233,284,385,692,447,885,670,476,536,540,378,833,631,649,794,
390,457,638,447,261,130,538,937,091,291,111,270,265,623,353,732,859,133,203,
521,549,571,928,427,084,566,862,982,342,956,287,203,309,388,726,951,137,042,
980,117,311,979,705,180,972,604,346,333,689,439,810,649,324,559,460,427,322,
129,236,990,988,035,160,220,841,676,254,288,918,941,955,236,014,402,687,622,
172,921,740,848,888,101,319,718,312,807,327,380,902,683,243,267,783,582,559,
722,802,116,782,298,115,158,512,531,112,112,917,079,742,664,856,310,782,132,
437,296,027,466,702,621,674,559,519,809,905,458,053,142,897,879,818,052,037,
108,296,061,585,109,627,435,958,688,717,505,810,848,036,032,532,331,989,886,
621,923,002,055,926,070,426,912,796,529,071,313,346,856,403,577,237,795,533,
394,661,425,752,184,675,385,338,541,149,037,108,039,632,203,364,993,080,509,
998,642,193,536,247,439,775,639,970,661,879,337,577,037,790,152,513,807,294,
147,379,864,843,451,951,351,478,753,163,988,472,085,705,826,981,829,999,497,
458,879,829,141,671,029,793,147,240,571,931,080,886,507,472,088,439,946,236,
619,637,391,046,985,830,021,862,998,619,997,187,633,734,850,406,492,703,082,
604,794,603,211,613,498,305,480,588,167,621,529,518,020,007,937,426,939,540,
905,034,106,456,653,645,729,028,208,736,303,593,254,172,604,336,954,738,098,
159,178,213,036,963,027,569,127,080,872,688,095,630,863,606,620,028,051,320,
629,464,118,311,687,028,028,000,600,256,252,842,305,332,707,931,757,734,587,
153,771,850,911,331,122,623,071,914,273,628,908,813,438,056,122,511,418,803,
781,260,600,448,968,068,631,501,555,326,883,756,192,343,080,548,915,595,469,
224,943,432,952,811,917,180,929,012,702,224,646,676,296,599,801,275,244,976,
615,138,370,977,277,519,520,755,501,478,222,758,397,809,289,542,923,523,875,
240,901,020,117,061,238,038,141,524,972,942,920,695,783,723,846,506,397,893,
796,372,713,345,945,024,210,764,797,474,260,035,069,626,142,238,678,266,870,
968,311,694,044,030,132,869,541,147,628,366,421,972,243,576,381,535,917,729,
631,221,089,919,937,440,887,403,168,125,543,392,457,572,502,526,098,289,651,
447,009,837,683,732,524,847,112,379,985,909,976,778,690,271,125,726,692,889,
616,074,354,862,547,449,539,726,289,571,215,111,645,059,883,935,292,017,846,
867,498,224,976,895,586,922,181,578,584,457,372,381,593,901,838,981,675,189,
835,538,696,175,425,416,708,333,523,107,981,139,601,587,241,654,155,787,990,
558,052,520,392,977,493,256,849,383,463,423,441,090,840,659,813,517,063,445,
314,352,120,339,863,833,581,681,048,597,393,897,376,742,954,457,182,087,665,
725,872,757,138,801,254,216,422,751,351,606,961,269,200,845,945,590,638,045,
713,478,744,890,442,733,635,198,616,820,175,336,246,527,364,839,854,503,536,
177,746,501,190,477,528,718,801,420,239,637,082,661,198,444,717,986,648,285,
518,288,679,156,409,753,004,302,008,491,518,018,146,217,558,863,995,024,648,
293,501,852,221,118,101,206,781,833,647,381,273,084,301,677,316,993,664,988,
486,334,555,926,424,512,519,919,671,958,058,069,747,387,653,683,274,892,962,
555,358,122,446,978,781,535,636,678,938,856,948,738,256,885,697,193,829,474,
954,816,347,308,500,198,974,255,852,863,105,569,178,286,173,620,449,198,637,
881,946,517,139,490,415,862,413,695,935,261,578,707,580,441,142,733,856,371,
762,323,049,374,432,776,871,460,129,563,781,945,902,038,997,152,947,078,489,
488,712,247,576,294,353,924,632,563,785,002,012,944,129,555,994,399,269,745,
367,187,585,178,398,465,528,104,219,186,663,917,078,762,280,163,205,497,855,
615,652,532,361,918,714,303,707,441,782,265,728,684,253,862,467,491,710,717,
287,959,437,287,867,984,533,825,415,290,640,552,160,875,955,004,605,621,487,
173,680,421,814,119,613,694,073,814,758,448,299,090,729,705,491,221,178,971,
057,047,797,372,291,995,805,962,948,060,912,637,053,261,154,969,304,600,298,
299,047,092,086,745,545,327,683,596,964,377,546,488,977,802,808,807,091,808,
353,974,025,043,280,085,016,069,739,079,275,535,738,013,048,844,754,355,705,
734,903,438,279,028,460,937,821,943,752,141,942,744,443,383,100,077,041,217,
964,337,878,591,374,360,416,899,029,194,286,891,317,474,397,542,435,186,185,
889,842,250,464,787,074,798,281,335,184,787,693,832,155,398,379,196,831,320,
450,592,848,639,201,753,601,286,035,353,438,721,165,074,279,860,699,580,703,
359,238,792,772,802,221,692,055,342,236,699,723,228,058,607,502,300,092,034,
879,961,133,215,505,600,836,472,068,362,337,607,001,919,409,119,742,958,700,
666,250,336,353,914,829,627,312,057,365,705,793,063,803,378,637,301,255,014,
145,624,889,681,091,712,152,392,618,517,422,446,751,869,168,120,968,421,321,
760,636,244,636,699,770,796,917,844,651,226,288,474,445,756,479,778,570,482,
013,314,618,673,884,620,617,251,455,512,103,974,584,733,012,674,814,410,552,
548,407,666,622,014,943,456,075,666,437,086,806,487,962,092,373,737,245,979,
063,544,750,488,343,450,531,869,664,299,947,161,437,137,947,464,206,360,687,
512,528,013,422,537,769,306,332,773,871,632,694,169,682,755,646,831,963,517,
568,033,505,787,720,808,627,843,994,561,464,258,497,818,614,101,977,664,351,
793,314,191,764,706,124,122,575,983,454,580,688,419,539,438,176,015,555,237,
158,109,311,727,294,263,351,167,381,504,556,118,852,845,979,151,221,792,250,
289,364,917,163,219,769,510,836,435,951,968,370,297,173,666,016,308,763,977,
588,822,077,146,008,895,709,456,086,600,004,035,530,735,507,640,639,907,344,
159,339,039,661,184,392,086,023,310,064,240,412,724,605,814,300,348,376,284,
892,118,594,554,496,493,240,668,538,902,593,212,217,031,282,640,222,289,676,
064,175,391,566,727,068,044,043,717,312,907,618,062,428,361,014,164,351,692,
402,530,980,312,153,964,259,579,882,759,643,415,103,030,988,840,975,326,955,
180,309,980,648,675,879,962,276,455,056,137,272,405,655,540,052,018,322,611,
063,277,468,962,206,641,776,087,605,624,938,712,462,885,916,422,259,618,111,
174,854,290,384,790,329,289,144,194,997,666,907,302,302,530,055,547,592,678,
502,840,520,264,667,069,363,930,450,746,518,874,003,616,589,517,444,158,314,
337,877,152,133,474,031,905,220,953,446,650,518,571,063,322,011,338,670,192,
927,718,407,322,207,832,268,407,363,396,056,388,073,231,610,775,545,530,998,
867,193,811,008,322,812,852,937,844,336,523,455,200,979,204,937,865,650,602,
030,049,155,736,971,479,927,999,421,307,908,911,403,094,076,797,783,552,937,
468,131,350,950,946,093,276,927,839,687,295,062,380,598,012,490,871,677,633,
340,329,738,660,112,394,722,518,595,465,541,065,067,459,688,948,050,277,722,
110,475,650,866,110,161,690,247,805,887,310,672,836,721,611,145,188,042,751,
945,868,651,137,504,432,115,871,158,803,382,798,955,772,039,645,757,339,785,
400,555,885,274,640,471,605,384,914,609,355,278,820,480,011,056,138,597,108,
932,011,826,494,694,410,345,051,975,595,293,694,789,282,972,626,723,135,643,
754,131,005,233,083,834,336,714,262,206,910,683,039,539,080,116,545,492,613,
382,882,918,533,574,555,666,340,673,201,191,842,253,903,930,688,665,223,833,
223,601,540,270,496,080,868,852,630,315,062,639,260,964,108,861,077,958,303,
882,384,209,000,988,494,849,530,581,109,113,768,101,246,870,530,632,145,721,
405,705,975,632,939,696,272,622,518,172,996,574,761,499,359,596,281,181,865,
387,556,991,059,700,075,993,498,468,655,330,019,809,423,380,228,012,160,359,
428,421,761,588,612,302,674,352,351,020,300,282,691,417,143,014,448,146,039,
447,387,670,991,922,266,932,743,748,185,181,300,452,975,147,106,227,182,989,
486,519,289,873,070,100,248,291,433,398,440,261,647,781,500,892,274,959,966,
010,666,722,887,574,126,352,945,822,367,538,142,821,785,911,424,711,809,186,
888,332,131,887,412,008,301,336,232,625,474,010,628,645,744,711,845,565,417,
108,040,241,020,306,199,467,428,046,056,310,639,615,630,019,163,506,780,535,
375,555,673,765,707,033,141,217,230,159,462,192,227,904,280,269,069,295,690,
358,384,188,938,441,400,631,755,079,047,854,327,599,632,684,268,553,459,697,
761,399,838,190,591,372,599,988,956,835,182,306,198,199,390,369,662,924,910,
460,023,162,437,057,323,102,318,536,324,428,530,957,165,747,227,671,719,798,
647,512,013,230,378,135,205,833,858,824,033,500,663,069,566,746,044,673,282,
105,112,347,998,000,586,633,734,155,385,596,682,978,294,093,625,447,546,495,
360,913,613,273,234,444,639,949,801,892,583,115,534,756,563,603,334,332,846,
904,650,192,298,733,409,607,502,776,961,051,270,266,866,801,627,913,638,660,
072,672,204,638,640,158,057,964,830,189,713,426,543,396,644,774,056,161,717,
673,229,278,580,189,579,783,808,446,946,921,763,974,476,286,114,321,125,280,
299,555,889,661,168,956,507,642,968,043,049,288,437,283,640,152,815,675,130,
709,592,449,298,673,679,415,285,079,465,337,333,306,774,326,153,227,249,010,
051,051,411,858,959,546,878,254,502,272,664,783,226,864,725,631,604,886,109,
805,752,663,049,002,385,631,090,483,113,114,942,866,162,781,270,079,593,316,
097,218,319,248,553,692,298,107,445,118,612,150,345,272,952,155,003,166,585,
589,904,245,959,934,539,550,370,226,454,294,569,308,323,184,024,890,546,713,
432,374,325,806,916,107,238,147,660,401,870,206,308,713,857,707,259,999,952,
827,637,162,789,134,129,195,449,394,954,912,766,110,746,749,410,168,669,283,
707,108,756,789,682,629,786,870,307,597,400,270,307,567,172,010,476,676,014,
392,474,473,051,669,722,506,229,767,494,147,257,781,424,772,627,257,758,732,
951,835,672,602,925,897,263,506,405,040,725,638,413,322,075,062,306,634,053,
022,227,775,760,369,063,354,771,506,715,834,157,267,650,527,263,276,875,607,
818,754,120,998,207,843,525,683,431,767,042,431,951,639,230,222,328,054,423,
311,121,692,202,592,666,308,153,008,500,116,355,598,598,392,771,736,468,680,
260,489,354,007,679,157,773,319,093,506,757,349,573,681,128,757,593,471,455,
669,492,721,310,719,394,679,294,073,895,726,040,994,912,931,573,001,346,194,
038,127,691,829,734,029,347,143,718,769,588,129,904,060,620,609,756,988,678,
888,285,435,578,523,561,931,609,016,481,647,773,112,656,655,809,839,446,743,
008,275,491,277,526,233,549,973,013,057,272,575,429,681,217,701,502,523,660,
286,346,046,072,309,414,654,036,933,781,773,700,582,531,410,690,334,125,693,
643,472,947,443,424,261,540,322,180,568,820,806,789,954,360,598,428,905,214,
674,347,966,930,270,290,026,210,647,763,336,455,289,014,202,102,658,137,990,
959,548,478,480,921,854,150,687,352,582,781,968,068,618,689,921,747,419,955,
804,077,605,281,979,229,371,510,888,965,017,246,240,217,108,016,422,745,016,
186,370,915,648,786,553,093,322,243,724,193,417,133,904,242,127,750,506,224,
614,679,304,050,809,583,907,385,056,306,556,177,615,181,798,821,905,869,862,
862,321,358,594,508,810,213,650,462,151,041,023,205,806,361,723,374,271,023,
526,499,130,138,538,874,762,951,096,286,865,675,978,963,183,201,375,344,705,
316,226,812,261,231,086,302,629,522,832,456,630,910,760,976,422,967,858,198,
285,609,592,216,169,756,546,952,398,716,359,272,141,556,068,217,395,716,336,
388,121,738,965,043,517,571,601,356,994,718,184,383,701,728,832,278,242,760,
053,502,520,639,206,817,585,977,289,494,676,654,862,087,441,364,238,410,640,
350,089,170,188,462,846,549,029,659,800,677,211,416,356,577,254,228,477,427,
140,853,589,286,770,179,223,566,404,879,267,181,508,293,704,058,422,129,121,
500,165,827,017,397,729,639,374,381,725,895,493,136,866,436,420,657,080,222,
845,996,101,895,321,642,951,461,215,625,495,664,365,982,758,406,631,984,034,
579,687,857,762,276,416,964,843,460,936,781,975,625,748,007,645,656,086,932,
556,666,420,790,778,581,534,266,366,871,767,507,332,007,370,843,663,979,396,
253,188,477,446,250,557,370,309,520,620,375,716,432,784,486,495,216,549,233,
332,919,934,835,952,623,777,110,702,672,223,419,334,122,220,129,383,739,726,
253,523,482,108,237,878,617,010,024,791,520,516,122,335,883,657,760,054,829,
877,582,136,024,180,717,306,115,681,421,887,516,059,215,005,510,627,413,500,
242,504,873,482,097,782,879,823,018,788,274,241,159,440,869,852,318,581,129,
601,036,514,945,602,288,179,946,874,297,045,743,336,484,612,551,876,718,153,
034,119,121,817,707,922,572,092,477,249,701,076,573,320,601,581,393,259,942,
010,631,361,251,980,327,113,300,583,830,473,581,088,948,217,602,842,577,605,
233,236,249,919,404,553,207,198,201,150,828,935,654,475,718,675,041,957,334,
610,899,477,622,916,689,908,660,913,479,303,848,864,366,069,239,384,272,913,
179,755,712,346,530,810,656,581,512,120,664,066,042,640,641,076,858,344,083,
182,009,611,606,903,414,318,271,884,866,961,545,227,681,496,146,364,614,778,
567,460,252,444,123,702,860,507,306,510,954,991,464,610,649,610,541,363,046,
095,957,488,662,641,514,694,602,262,887,864,152,440,992,292,835,897,513,895,
655,226,828,685,120,760,572,887,492,504,967,335,090,302,066,111,537,058,438,
363,968,703,302,534,881,049,105,877,605,427,889,524,240,410,451,677,085,775,
339,657,695,795,061,607,907,495,848,148,602,363,663,917,542,617,804,289,396,
960,040,075,295,613,677,141,584,139,340,424,609,943,429,104,177,669,286,209,
019,482,724,424,380,810,992,712,406,297,514,214,624,957,814,566,241,200,037,
264,169,764,264,701,880,283,192,213,397,276,522,365,810,216,740,579,140,980,
998,704,225,835,038,575,453,248,762,537,750,250,641,975,122,503,047,233,019,
812,319,769,857,797,509,195,199,012,962,562,154,975,040,306,092,256,379,871,
225,925,337,266,314,034,417,780,389,618,576,687,342,473,384,766,507,733,056,
568,863,989,188,770,232,311,872,357,779,954,173,918,605,494,061,072,302,178,
962,190,903,258,582,681,677,966,510,728,366,172,496,288,509,011,511,704,078,
093,004,123,104,719,768,334,982,055,021,344,959,828,173,140,988,691,482,989,
511,958,227,609,540,234,333,914,386,119,991,700,189,944,591,736,480,170,523,
322,577,060,766,615,661,856,963,971,438,308,563,024,471,595,689,482,788,000,
129,196,643,430,924,696,864,066,669,971,478,807,097,187,292,004,203,700,281,
598,368,903,747,852,164,101,246,241,337,199,887,490,084,765,829,917,835,286,
437,343,296,348,981,136,520,402,054,994,232,369,369,590,052,374,125,593,449,
742,672,049,936,331,266,525,943,785,679,257,460,330,714,076,159,998,322,265,
803,947,867,485,413,064,120,010,220,431,964,198,028,509,613,297,464,920,139,
103,438,877,477,712,620,853,322,905,153,701,971,509,086,336,970,326,581,317,
948,486,052,714,404,657,726,739,327,054,115,759,538,296,095,575,593,212,312,
078,141,976,229,903,398,889,702,091,480,402,227,638,904,200,123,192,837,717,
376,613,934,157,270,072,518,744,201,959,500,738,206,782,790,585,102,381,788,
997,314,753,917,768,674,900,986,075,467,753,277,652,073,740,840,286,643,391,
962,468,981,909,415,754,365,076,823,028,296,575,952,136,007,876,740,317,690,
594,802,202,382,028,191,704,571,863,604,719,761,954,074,311,345,842,535,870,
727,367,192,531,572,411,724,870,858,398,581,960,899,598,325,304,696,703,713,
752,229,537,475,350,529,458,886,856,950,713,222,891,060,564,055,103,682,306,
061,005,377,765,838,072,687,192,453,238,935,690,387,587,006,024,610,388,804,
289,219,595,369,192,263,518,373,615,948,118,868,237,363,549,791,010,119,754,
560,985,019,792,914,463,063,462,076,362,521,687,867,821,101,250,792,234,742,
188,201,004,728,645,401,046,385,351,212,342,107,407,231,078,984,763,255,950,
455,218,927,318,961,199,483,167,300,067,061,316,555,741,054,053,642,957,959,
031,453,987,715,551,204,747,938,539,094,878,707,261,839,065,196,654,939,190,
477,072,550,866,292,727,344,726,964,733,098,606,046,056,714,570,527,063,196,
013,643,993,052,828,957,312,876,892,029,354,932,575,174,445,750,667,904,002,
930,516,717,404,727,893,153,543,599,575,022,171,573,501,847,284,289,349,587,
254,446,189,830,290,600,100,475,246,148,237,748,784,886,991,030,252,688,348,
572,975,686,521,015,231,733,683,902,916,630,508,419,744,433,983,821,254,455,
647,510,227,068,329,215,765,565,722,876,650,150,445,326,265,376,678,565,668,
250,112,685,070,452,925,660,156,866,920,598,325,300,754,561,926,832,007,793,
981,712,219,363,313,512,493,027,416,133,128,290,358,363,815,055,789,932,249,
968,752,462,242,718,091,101,959,858,623,427,529,900,755,234,498,116,664,904,
991,941,508,459,652,672,214,671,733,515,662,380,185,621,636,337,858,488,808,
389,867,604,145,174,238,577,616,470,657,190,423,299,717,852,747,628,227,580,
256,967,641,535,127,303,898,643,377,944,665,867,742,607,325,438,868,334,634,
538,184,152,581,228,047,540,121,001,318,140,025,589,645,677,175,307,922,742,
871,670,506,357,539,293,020,405,967,529,497,911,211,522,032,843,083,743,585,
777,234,885,487,152,362,221,423,137,233,724,759,779,607,983,321,080,789,103,
686,719,378,443,798,863,363,092,623,230,277,539,273,521,440,193,099,033,019,
854,954,230,513,370,946,884,879,590,122,478,938,689,225,172,311,458,741,761,
564,349,298,683,588,009,808,947,473,025,755,228,911,935,222,525,292,233,606,
540,242,530,984,957,415,597,657,494,915,864,488,238,204,545,688,466,720,754,
389,066,153,216,209,186,380,337,889,120,921,109,355,300,856,777,752,214,956,
414,331,929,943,923,603,869,444,726,861,825,017,349,940,270,528,323,893,349,
501,588,386,101,010,021,626,856,860,618,707,584,813,940,875,846,322,521,820,
527,459,063,721,834,612,996,608,716,989,073,875,629,724,839,750,100,937,116,
828,727,010,541,405,955,346,701,863,226,731,938,756,324,690,099,526,153,994,
275,294,790,421,827,454,256,335,052,120,006,924,388,992,687,083,682,169,997,
180,252,524,631,254,174,360,011,117,131,674,504,040,388,371,710,513,936,843,
983,354,305,472,775,746,529,002,362,957,129,208,811,342,137,731,624,574,252,
884,410,009,014,294,548,672,340,759,490,905,891,346,669,503,655,354,101,009,
814,618,060,822,209,982,106,630,037,294,936,151,602,952,018,762,652,561,119,
637,306,631,343,339,928,516,754,184,929,006,745,659,118,728,335,209,128,269,
987,620,626,150,353,672,939,347,653,241,474,594,153,978,655,936,127,585,244,
015,969,872,678,663,939,718,707,702,468,419,326,668,068,284,619,013,416,480,
832,648,271,147,405,242,442,137,827,747,212,807,623,987,551,351,609,101,188,
826,282,971,754,595,429,210,578,109,795,753,945,518,054,915,586,520,315,318,
517,729,773,862,970,697,344,808,865,500,855,995,205,991,250,346,010,380,608,
118,310,160,014,663,269,653,134,035,548,624,595,674,899,899,831,398,823,295,
088,568,198,200,474,768,980,652,500,184,813,614,864,467,311,354,834,310,815,
606,776,517,611,701,198,314,721,811,162,682,374,352,092,472,195,746,884,609,
768,070,951,878,385,942,046,850,849,685,696,236,594,205,929,307,939,210,847,
236,210,874,083,872,816,650,903,128,872,018,492,727,466,542,457,047,928,047,
706,121,436,225,696,134,711,083,853,956,938,198,783,931,419,574,387,560,213,
763,092,941,546,603,784,605,819,339,999,096,813,061,459,700,744,297,854,536,
604,434,869,702,631,213,055,346,771,930,453,465,423,236,755,594,454,782,201,
967,321,072,985,912,982,099,202,980,811,621,591,774,594,515,174,600,605,169,
897,120,494,168,520,623,690,414,373,704,879,666,269,796,457,858,219,974,617,
835,687,361,756,862,256,967,296,683,154,931,897,079,914,623,359,079,257,126,
075,672,986,578,429,128,542,685,633,974,661,465,772,641,130,682,353,865,700,
161,301,403,041,613,430,617,496,127,654,168,897,016,702,504,641,095,325,817,
386,585,802,394,378,248,439,562,498,283,288,302,343,361,630,368,386,690,606,
292,355,007,328,366,756,333,854,129,528,401,343,142,259,380,753,729,256,748,
944,622,257,916,039,733,738,201,883,106,372,177,191,520,528,544,976,973,643,
197,151,854,907,570,072,742,389,675,390,421,321,331,349,060,459,523,498,340,
654,718,928,547,955,681,087,405,115,288,437,954,656,971,863,413,509,936,469,
454,882,297,186,131,358,840,731,919,136,389,746,254,081,619,531,454,680,514,
934,996,658,218,710,285,351,219,950,818,655,613,649,431,074,206,815,703,699,
752,094,983,400,135,793,377,620,937,017,688,706,026,022,624,637,687,201,883,
532,262,104,316,607,566,361,673,672,049,438,157,636,709,054,031,916,132,256,
737,539,197,430,556,099,176,823,915,115,924,591,943,592,400,298,137,618,306,
345,290,786,246,144,235,529,408,217,118,634,491,364,102,837,833,805,435,302,
895,498,163,385,483,409,358,869,516,211,543,156,839,555,702,046,382,122,085,
017,916,451,678,401,645,776,490,247,516,393,944,271,622,656,885,079,384,147,
622,284,710,566,993,563,664,301,875,031,753,062,747,510,333,838,905,806,074,
304,679,017,142,502,607,816,386,331,546,361,853,962,307,200,088,815,743,223,
287,140,201,035,096,915,276,948,704,791,352,135,380,869,012,072,452,507,164,
686,341,221,227,616,213,318,841,470,179,214,290,325,850,496,680,064,360,710,
065,746,301,939,404,897,233,908,333,497,569,548,522,366,869,363,240,925,375,
873,070,693,909,060,718,339,405,531,960,369,503,891,419,778,737,754,740,457,
828,756,418,764,003,226,357,568,638,518,062,107,605,014,332,973,253,702,327,
135,889,662,631,920,112,817,440,830,504,833,490,846,903,388,006,085,467,805,
201,279,183,266,710,113,960,557,210,052,707,071,905,786,564,237,958,216,673,
775,764,187,594,773,058,603,955,100,128,912,272,056,488,904,750,360,576,455,
716,411,734,561,044,237,685,409,292,654,218,274,903,772,463,664,758,153,143,
362,467,973,836,286,116,049,561,216,270,273,906,483,708,848,812,888,045,201,
046,878,571,608,217,446,971,926,267,296,754,816,377,552,445,473,647,983,208,
470,662,781,396,689,864,532,045,708,576,646,645,098,234,314,296,672,128,746,
589,599,487,285,158,008,979,859,908,271,012,941,692,340,352,927,325,841,365,
796,461,014,373,640,389,751,407,546,999,145,425,126,283,042,771,332,189,882,
543,674,176,597,790,507,596,135,328,803,035,389,250,474,369,246,728,995,611,
846,737,438,071,429,994,480,989,177,656,974,420,084,478,494,862,227,027,128,
000,735,043,330,671,231,850,519,002,202,860,872,317,825,273,362,568,152,383,
008,263,992,975,063,100,683,993,199,945,470,043,221,034,300,684,316,387,085,
266,991,805,540,045,489,953,370,152,630,221,345,694,645,050,095,110,294,631,
110,526,903,449,213,719,393,937,991,557,537,558,627,932,926,196,167,574,989,
937,955,874,623,344,419,973,734,566,730,500,153,882,311,197,237,223,235,945,
454,296,484,539,511,377,318,564,709,936,396,228,103,739,523,364,705,274,711,
869,421,435,945,301,512,739,429,818,834,889,628,050,094,451,221,443,929,218,
185,420,460,152,586,627,674,135,014,863,770,288,546,560,237,197,324,311,012,
406,491,932,042,252,397,213,004,328,314,746,586,640,040,459,775,545,495,205,
811,951,138,908,490,986,541,128,665,315,037,294,874,148,754,443,219,815,335,
837,640,919,743,681,907,591,563,095,404,753,523,140,706,842,062,203,277,118,
143,447,255,221,147,488,194,654,741,718,964,644,384,152,132,021,660,921,354,
851,717,128,070,272,437,638,312,350,027,396,289,430,924,264,103,932,063,383,
222,242,768,058,718,521,073,878,177,945,170,998,175,061,431,539,142,522,904,
433,317,740,671,114,573,524,166,622,535,563,821,636,508,801,068,312,951,908,
029,545,522,395,192,145,868,866,762,668,354,731,220,685,528,635,663,933,325,
811,419,475,691,009,456,512,828,938,936,215,732,992,479,338,653,052,569,582,
116,999,627,249,131,457,279,135,779,133,142,774,732,285,152,705,998,612,773,
728,140,944,278,726,119,373,050,877,026,679,618,614,429,733,858,571,540,150,
666,505,916,291,175,586,026,095,856,112,364,996,879,658,021,773,231,783,086,
024,118,130,154,916,165,274,297,188,062,335,985,758,385,398,086,776,942,404,
479,191,250,927,351,705,584,962,488,379,365,908,910,873,290,962,707,743,806,
983,134,818,994,042,656,390,373,819,310,406,207,908,478,429,445,645,158,089,
005,207,971,451,069,507,553,039,741,917,709,869,968,858,744,244,372,553,741,
320,888,453,292,949,780,669,050,546,749,842,510,445,229,036,592,590,664,180,
417,737,209,317,361,455,622,732,585,667,939,572,115,335,632,282,291,218,333,
342,389,713,200,048,729,829,877,656,532,615,528,941,708,186,997,338,652,274,
839,671,944,772,228,259,416,098,746,026,198,614,559,536,574,338,990,186,842,
758,028,469,168,510,267,724,691,217,340,029,653,148,804,739,467,173,076,958,
548,079,286,907,108,891,503,841,721,975,536,384,836,307,325,294,840,186,796,
139,759,749,432,488,158,702,495,892,443,990,089,658,839,973,393,026,049,909,
141,913,946,044,149,914,407,016,521,907,311,553,180,553,421,942,574,092,025,
500,891,620,806,867,920,324,862,483,640,860,743,737,612,875,621,289,221,547,
979,274,545,731,155,146,855,154,228,861,972,882,121,077,054,102,510,544,659,
421,183,754,054,718,080,418,555,463,500,121,943,501,232,111,468,683,767,384,
482,372,282,196,454,734,843,278,212,155,801,363,684,292,819,222,899,087,968,
479,038,199,282,477,409,157,464,830,805,390,984,316,909,308,404,232,551,355,
295,384,359,483,066,551,691,486,723,901,408,091,448,135,817,398,435,325,233,
760,416,384,209,735,760,927,866,717,432,572,717,825,199,094,935,967,521,270,
783,468,578,875,290,033,297,216,560,515,018,981,122,708,522,862,642,620,143,
339,384,420,159,702,676,990,358,986,657,843,573,962,592,579,751,714,030,205,
345,537,650,274,784,521,643,970,847,939,629,957,111,994,535,646,505,756,376,
001,864,270,907,176,204,240,260,820,700,073,228,944,443,939,897,891,847,758,
063,533,143,292,074,905,304,949,662,243,723,751,094,704,667,696,809,958,256,
672,566,726,272,789,090,510,796,544,762,913,117,983,982,341,714,162,188,740,
466,389,741,485,103,635,945,067,304,735,122,616,371,887,788,224,299,933,079,
001,628,491,421,675,575,484,644,400,594,408,832,421,576,308,370,517,690,890,
089,935,684,260,606,909,731,359,698,904,876,261,185,483,725,531,689,328,378,
763,388,762,997,477,840,833,788,255,100,403,207,915,152,018,907,673,195,341,
407,385,051,269,561,966,965,262,920,367,245,948,820,885,925,506,750,932,714,
234,060,501,685,813,808,051,523,323,635,812,103,985,313,728,844,951,818,580,
104,343,533,559,105,002,733,250,626,316,422,586,556,682,768,306,355,547,750,
175,426,550,263,476,049,804,211,461,777,242,051,563,688,627,814,634,619,152,
201,799,554,768,561,774,122,844,576,028,435,759,328,505,539,405,333,865,219,
385,714,631,923,935,449,949,093,860,267,875,598,616,103,072,941,215,557,364,
116,230,038,665,364,716,290,504,489,253,393,756,234,109,289,521,930,054,023,
676,877,784,762,084,356,410,669,535,470,731,372,279,777,831,483,381,661,929,
593,447,695,070,121,899,437,591,580,335,145,695,827,028,387,696,048,043,050,
322,985,190,423,716,093,451,458,944,568,706,883,573,702,444,599,524,525,694,
329,140,632,878,882,545,724,462,181,683,047,669,506,689,980,731,676,328,614,
583,178,968,282,270,678,788,911,248,391,329,956,206,284,962,852,959,574,457,
464,679,889,229,114,881,567,963,372,029,900,367,393,733,681,607,996,606,679,
927,112,381,206,311,905,187,833,701,304,145,683,996,102,841,580,951,310,757,
904,775,783,682,884,864,304,623,452,602,486,674,015,924,095,260,551,209,743,
789,685,216,921,139,581,605,883,435,403,507,240,096,968,554,274,832,466,291,
354,385,066,670,901,788,668,204,036,726,842,911,598,899,111,449,881,412,446,
441,325,588,393,473,117,372,303,300,568,998,934,140,654,794,087,314,811,462,
716,596,109,972,119,954,861,053,271,923,211,187,161,997,941,268,238,304,130,
557,937,700,551,443,926,225,065,704,067,378,678,868,047,149,707,639,943,965,
023,560,564,107,728,712,233,562,988,339,646,620,016,680,061,840,093,742,665,
543,889,662,660,234,802,738,014,481,679,658,271,244,977,875,520,968,263,399,
615,960,582,596,217,542,780,883,106,507,845,286,387,857,054,300,599,161,566,
125,211,528,863,906,641,735,702,617,957,539,300,812,816,850,895,414,469,691,
006,642,169,558,541,348,858,859,306,761,914,280,476,191,146,936,952,131,561,
760,127,384,871,266,283,718,534,348,586,212,683,384,231,547,533,186,614,961,
748,505,474,101,124,017,264,064,702,508,837,362,902,968,380,182,625,484,609,
870,384,777,789,411,033,268,568,861,287,562,206,438,280,025,692,910,983,871,
663,911,641,324,577,895,397,372,533,841,883,126,325,201,694,148,538,021,206,
118,454,017,606,880,185,692,321,945,464,259,474,114,650,381,375,379,215,960,
459,398,854,194,091,992,930,705,365,546,274,559,352,994,790,246,279,027,170,
292,757,205,352,659,520,572,394,746,584,699,647,537,745,826,875,583,960,337,
837,718,826,253,656,796,985,538,614,707,014,013,582,353,503,277,222,863,255,
377,434,333,451,346,037,690,689,638,478,614,448,336,999,692,831,334,197,239,
894,627,876,105,256,748,105,777,149,640,028,733,388,220,386,293,571,744,043,
431,557,964,916,850,817,694,788,071,362,693,283,986,449,495,489,716,010,705,
286,130,132,613,120,676,282,907,406,642,276,212,249,392,868,058,665,716,769,
091,247,440,555,594,772,312,627,290,083,915,617,994,459,982,490,672,982,418,
715,377,760,811,757,454,775,446,839,139,601,482,701,676,282,142,576,820,813,
591,906,099,192,505,135,996,755,425,209,148,520,448,570,290,080,581,802,371,
187,491,825,970,759,653,713,469,782,291,036,961,107,619,199,249,726,705,602,
130,007,910,070,350,161,126,923,249,664,537,947,480,402,153,230,898,955,251,
167,121,519,741,153,947,610,618,111,154,827,561,926,591,921,316,309,652,145,
041,826,604,193,229,954,424,525,396,309,837,061,846,071,240,197,747,553,667,
997,268,875,210,756,586,811,642,337,993,630,904,441,751,555,007,101,340,092,
989,307,129,349,469,141,851,180,795,946,715,374,929,810,723,440,429,622,148,
623,993,441,292,035,030,014,505,060,750,474,065,388,174,835,827,909,576,025,
128,761,145,059,177,001,849,373,884,885,879,816,096,436,737,544,019,514,918,
704,183,217,347,829,850,451,721,355,042,921,024,599,658,146,453,141,614,025,
714,174,552,238,383,320,970,049,929,827,731,460,170,935,952,946,791,839,385,
753,498,434,052,772,431,123,892,341,793,044,084,593,017,760,467,485,432,444,
258,517,125,259,629,007,743,150,651,355,265,376,083,078,133,927,055,138,079,
192,140,922,170,326,178,771,279,738,219,933,293,154,074,470,425,676,322,963,
399,476,884,743,508,164,967,428,703,166,817,971,117,549,635,744,534,141,716,
444,183,397,325,943,031,584,821,094,566,871,364,696,471,391,116,833,058,916,
122,578,973,647,766,073,658,189,466,696,520,377,748,980,544,747,664,215,817,
848,477,522,873,617,078,963,488,353,194,180,211,936,762,745,854,413,703,262,
501,444,868,631,360,299,603,021,810,064,205,596,126,378,700,066,585,226,656,
236,595,173,695,118,556,362,184,228,433,418,410,271,556,924,204,406,857,893,
322,647,148,891,966,932,084,129,594,447,643,354,325,830,553,760,492,412,679,
083,321,869,587,971,210,159,433,919,871,782,606,937,848,337,295,376,237,936,
383,679,433,903,563,641,026,274,985,380,018,683,603,784,563,213,256,086,752,
378,828,161,249,993,421,017,352,641,696,564,219,086,670,506,423,961,789,670,
290,706,215,713,838,226,394,854,204,778,005,471,201,644,006,618,127,415,279,
771,167,558,488,264,476,322,838,798,012,144,358,944,445,719,613,284,351,503,
888,679,469,254,088,175,639,237,742,733,096,309,939,531,701,095,851,876,351,
971,416,290,087,082,233,944,417,712,862,539,368,805,632,639,183,847,822,184,
605,993,193,615,775,243,219,346,147,546,073,580,570,623,329,042,674,295,755,
334,103,515,590,940,669,452,123,959,786,293,699,035,095,829,743,588,735,603,
055,389,694,074,777,328,682,067,672,548,105,041,799,731,135,151,986,693,827,
135,048,222,818,819,653,166,834,370,368,434,520,283,937,087,102,075,015,391,
793,032,562,789,050,320,890,567,724,245,741,837,732,531,864,132,655,258,953,
224,996,996,671,078,454,357,992,545,030,170,332,815,005,683,051,897,222,083,
723,423,840,371,899,038,155,468,335,497,144,765,296,404,748,605,441,692,655,
819,888,430,787,065,915,842,134,364,682,793,250,162,181,233,586,576,394,869,
131,818,353,731,898,325,093,389,382,469,392,939,546,127,738,058,871,484,838,
316,869,847,483,931,089,731,806,097,902,893,070,818,582,090,728,220,326,300,
090,081,602,941,087,659,867,991,742,124,925,332,252,330,566,233,371,488,230,
095,468,902,148,171,067,310,264,096,898,089,223,100,320,125,836,573,691,935,
360,217,697,491,351,316,859,296,430,776,996,089,235,987,771,835,471,518,723,
413,554,661,975,206,528,875,588,294,583,061,457,290,136,569,138,348,321,497,
297,766,537,858,756,012,710,061,567,146,293,270,821,687,919,483,275,459,644,
590,480,907,518,668,624,888,802,768,294,654,426,939,047,926,670,938,482,727,
110,680,761,459,933,387,356,596,261,580,156,943,659,572,582,204,966,483,616,
165,351,848,847,443,658,968,889,680,624,843,602,023,429,725,781,878,902,623,
542,546,908,875,804,418,960,599,716,599,577,746,579,391,393,162,519,574,600,
126,859,338,922,565,487,794,693,051,435,717,511,781,545,037,830,368,637,161,
154,191,867,524,188,476,910,837,404,391,159,758,928,858,573,684,089,811,096,
324,621,224,526,199,061,926,033,981,567,560,543,468,850,996,575,457,193,764,
238,255,575,917,476,272,743,320,521,016,200,188,725,450,547,802,898,779,871,
758,180,455,167,810,058,653,992,798,816,390,844,957,319,419,861,039,705,209,
884,342,564,042,549,573,253,558,822,389,045,151,964,448,156,904,531,508,803,
434,726,623,471,271,699,452,469,678,999,064,910,887,039,799,501,954,890,287,
633,274,016,504,087,635,774,329,600,235,935,221,852,866,292,486,455,157,950,
377,359,745,713,197,710,207,233,502,153,093,385,664,845,586,817,063,697,057,
469,230,217,553,236,998,969,955,319,049,390,710,114,451,258,974,002,210,848,
079,012,422,508,339,638,055,390,998,327,103,199,180,716,293,442,926,076,696,
525,058,083,523,445,052,278,958,607,324,370,497,944,402,000,817,873,226,262,
668,881,313,635,077,378,667,555,805,642,434,759,464,205,591,519,652,302,449,
613,002,262,010,979,238,702,510,208,000,645,020,673,710,450,597,503,727,771,
730,982,750,291,441,206,749,858,009,573,489,181,644,052,152,852,843,176,059,
959,884,966,354,042,041,886,943,747,239,177,821,789,805,609,538,506,881,384,
691,004,519,894,192,923,670,726,502,097,598,272,404,565,114,752,525,023,364,
920,454,797,186,917,759,291,612,339,003,922,796,264,979,511,539,177,109,736,
781,339,147,810,174,975,592,048,383,244,018,077,983,197,639,067,117,192,233,
923,255,571,567,460,953,763,307,021,630,253,030,281,508,788,844,037,984,908,
442,765,519,062,469,629,329,261,855,608,594,228,844,698,023,573,062,559,097,
243,274,198,120,149,566,699,819,781,452,819,182,891,114,733,698,846,708,660,
256,019,399,040,578,526,689,631,232,635,175,282,031,585,400,539,424,613,638,
146,549,573,610,461,292,317,140,297,345,298,007,490,651,875,445,900,718,068,
311,841,288,199,963,622,703,363,777,484,475,462,274,625,260,539,630,759,008,
430,603,872,788,972,173,623,867,009,550,848,363,633,557,747,596,924,801,300,
618,932,232,575,856,796,697,204,872,807,912,211,784,545,647,420,268,058,989,
623,100,904,528,704,644,644,595,446,344,193,291,705,708,236,352,145,376,907,
791,867,699,870,412,711,054,108,896,575,922,313,926,016,337,304,678,818,602,
598,543,500,627,260,016,196,659,587,621,242,086,673,561,363,028,870,365,886,
150,811,166,900,959,218,281,536,576,030,764,849,750,726,699,390,717,351,466,
154,249,332,011,694,403,807,656,235,998,871,301,365,423,578,294,904,083,709,
429,703,205,559,381,364,588,567,788,464,047,058,566,544,673,617,464,513,880,
576,845,188,933,175,739,792,713,078,831,978,060,964,012,883,710,204,362,407,
532,591,850,296,746,114,806,652,260,501,135,276,357,584,952,652,640,088,668,
225,196,824,470,989,824,610,590,119,995,768,220,000,127,252,812,648,007,610,
202,420,410,260,459,358,030,981,689,508,247,438,435,525,330,585,661,828,886,
339,486,285,001,747,806,815,400,007,332,442,314,547,563,229,794,824,087,846,
590,627,527,021,338,556,697,808,626,411,847,346,717,150,423,677,671,274,210,
776,015,280,742,228,610,041,133,960,328,722,844,850,786,028,525,226,187,430,
650,344,471,265,296,309,280,744,479,936,675,176,588,747,483,250,731,220,328,
825,351,831,962,164,788,525,931,585,224,710,706,867,331,184,308,978,614,595,
664,839,715,882,844,649,461,580,626,201,243,212,934,106,270,940,480,191,978,
995,148,679,361,176,391,591,303,641,748,661,597,532,538,541,521,424,022,323,
900,818,944,130,167,797,130,117,663,040,417,930,975,893,743,826,407,024,904,
430,236,505,506,934,141,156,273,657,735,213,455,545,244,968,034,756,574,504,
199,224,607,411,354,133,246,472,673,963,319,151,450,583,647,210,384,434,527,
362,750,779,524,706,170,840,328,999,953,759,943,738,666,339,088,570,418,905,
003,432,940,370,943,356,683,348,638,264,760,691,056,443,161,596,950,550,827,
385,024,782,843,353,854,682,853,944,290,460,452,521,785,266,707,020,901,342,
788,580,027,355,713,463,280,049,235,179,960,384,703,020,206,814,020,749,144,
565,956,120,902,376,862,894,801,774,263,432,689,015,696,943,864,492,529,819,
453,996,084,714,817,403,506,563,358,571,523,269,349,097,633,340,565,713,166,
598,062,884,789,017,960,146,627,894,220,943,740,402,778,926,672,037,711,154,
448,342,981,712,424,151,629,991,413,904,409,740,023,627,409,379,354,273,847,
265,675,693,795,253,421,027,581,713,020,485,425,288,892,684,555,299,104,747,
147,389,975,306,312,635,336,502,351,725,521,877,119,570,800,412,532,066,567,
618,052,036,723,055,512,504,410,838,109,580,128,277,328,433,404,035,326,228,
964,062,679,234,758,032,755,067,069,922,578,372,766,044,388,697,512,859,828,
807,349,688,970,664,308,855,986,356,484,772,230,457,118,452,814,266,428,915,
113,575,769,737,827,764,826,122,606,980,344,839,143,501,545,378,196,467,614,
296,915,342,035,141,994,938,136,060,604,344,775,379,629,197,930,746,192,156,
990,337,806,853,071,207,469,244,509,840,864,823,272,875,552,280,429,292,140,
657,696,116,849,426,958,024,049,584,080,100,894,173,850,461,589,335,375,185,
453,533,395,524,969,294,181,608,386,946,044,656,165,674,479,614,631,361,801,
644,506,301,263,073,905,237,056,560,064,154,178,976,804,111,495,967,126,430,
689,004,340,854,150,145,395,452,288,048,350,997,258,013,859,787,526,314,150,
688,621,144,326,615,480,597,771,137,412,270,859,095,093,914,018,200,264,458,
437,758,029,139,219,109,534,300,814,525,047,249,124,189,115,455,621,653,715,
502,478,226,613,211,537,857,141,037,106,176,507,241,401,359,101,088,468,992,
416,954,647,000,962,339,613,235,352,819,201,881,511,107,526,061,625,927,775,
134,870,896,134,743,424,528,427,418,211,442,708,541,872,534,417,764,728,606,
945,990,167,762,145,037,213,122,331,039,805,199,588,104,743,632,097,693,075,
955,246,591,287,402,647,532,321,836,583,879,482,024,384,324,954,160,684,402,
614,365,338,530,885,257,669,363,710,010,102,546,499,563,864,425,690,323,222,
417,946,211,759,531,212,213,308,421,728,750,232,152,032,860,680,926,920,929,
504,573,347,178,601,104,761,720,836,928,632,962,427,356,186,122,620,756,086,
491,263,702,270,778,788,770,820,964,068,122,673,441,390,551,264,037,654,237,
522,848,982,108,872,106,955,936,526,206,082,619,407,794,990,350,063,152,085,
580,542,890,227,349,183,080,228,624,382,676,747,362,844,180,618,325,463,658,
044,754,989,489,598,646,993,339,020,290,265,624,563,123,449,812,023,576,541,
165,973,202,318,158,820,150,802,027,190,922,580,776,773,172,853,934,924,502,
573,647,785,278,477,753,605,747,626,243,866,607,531,680,628,802,471,035,414,
430,064,428,863,716,424,263,931,576,258,324,262,253,830,589,102,725,452,468,
939,777,339,357,719,448,863,112,907,460,386,417,520,288,831,280,089,034,028,
908,116,901,888,781,019,375,015,282,229,497,915,961,711,625,696,764,947,551,
483,340,427,205,138,251,573,262,679,357,653,043,487,107,484,277,108,508,021,
702,245,645,340,179,646,104,782,323,409,669,203,425,656,546,744,856,503,165,
179,171,632,785,625,961,133,309,165,328,004,103,122,599,653,992,370,032,407,
495,378,472,194,862,989,142,225,677,677,230,666,870,770,238,430,695,307,695,
046,598,837,359,857,408,809,768,473,143,193,613,603,081,237,302,560,989,618,
177,318,967,463,561,069,261,358,422,625,100,043,024,402,693,697,949,105,683,
504,686,538,463,230,944,118,077,600,937,093,744,249,540,285,490,936,068,444,
980,945,868,442,475,859,676,766,921,193,145,795,920,287,000,020,406,875,680,
213,877,954,827,038,165,537,006,743,593,689,486,049,136,872,962,524,957,360,
598,897,063,722,273,695,118,160,012,129,076,220,717,268,142,538,139,242,480,
627,189,896,443,242,313,166,746,377,574,322,657,286,275,165,110,996,990,784,
426,739,355,727,392,708,942,992,797,312,254,594,884,807,626,677,916,869,429,
043,119,662,295,384,606,382,204,822,131,943,794,442,973,459,671,768,076,292,
109,287,944,022,684,093,092,731,004,938,693,514,021,172,915,973,503,528,324,
320,511,857,629,553,689,809,911,199,282,408,596,950,846,149,698,162,142,004,
706,028,333,702,747,874,961,812,795,979,555,526,569,213,735,712,809,618,162,
452,855,126,528,562,798,802,945,844,057,370,355,191,966,446,436,686,960,297,
132,572,724,557,178,854,336,205,862,433,570,995,366,077,812,260,140,188,409,
098,632,791,724,687,276,272,288,099,503,755,694,637,933,237,268,740,355,255,
022,865,290,113,351,716,668,430,670,777,770,133,251,106,356,068,953,948,166,
129,030,481,959,177,323,379,327,218,003,293,054,868,420,535,126,382,013,274,
799,956,351,442,502,480,686,846,075,661,523,056,039,758,281,725,018,502,806,
617,051,327,413,941,121,864,118,319,485,716,394,066,819,245,902,506,474,649,
008,071,517,755,037,448,616,206,973,212,773,415,000,108,708,629,723,432,185,
161,882,562,058,489,038,943,980,177,984,388,837,477,281,108,749,311,653,757,
887,979,400,572,165,294,818,121,792,599,248,476,662,134,747,250,852,120,536,
687,902,226,128,862,277,496,968,854,624,718,471,491,987,000,423,506,702,183,
783,465,080,190,284,848,387,745,446,902,440,866,803,018,992,762,082,137,748,
883,946,608,939,952,986,476,309,688,616,219,876,158,812,166,555,985,509,629,
150,844,556,716,115,890,251,596,219,598,058,019,995,808,485,155,303,710,501,
221,270,599,078,736,674,567,048,875,887,206,689,001,956,036,829,382,633,038,
282,950,238,889,584,216,769,819,660,181,028,463,270,833,504,561,423,888,178,
380,080,805,144,112,330,845,183,097,677,821,215,671,219,292,992,522,168,037,
092,261,234,900,096,970,288,249,515,369,189,663,335,565,774,884,792,396,847,
615,931,541,459,734,663,407,018,577,088,484,013,246,819,810,921,466,327,961,
822,937,082,278,364,033,791,015,635,083,461,170,037,640,740,715,497,414,862,
954,189,107,415,064,011,656,643,789,115,770,522,428,485,483,930,123,030,408,
115,783,551,585,400,197,914,751,924,445,311,531,903,264,519,805,561,917,435,
211,201,242,822,482,822,001,302,884,725,308,385,938,269,574,654,536,709,684,
387,451,803,424,325,122,728,669,257,301,959,105,914,202,333,744,055,042,684,
185,472,928,013,189,124,099,255,418,554,978,328,498,245,848,777,325,577,277,
469,478,728,292,088,606,051,703,480,580,406,727,243,933,316,350,305,278,239,
686,285,223,608,530,117,598,291,655,416,940,040,344,125,654,360,768,005,654,
260,181,642,285,810,220,377,689,428,141,876,849,732,888,504,193,390,700,974,
683,860,262,038,853,525,374,430,946,292,627,883,971,452,262,063,960,380,050,
039,224,235,578,194,362,784,981,018,249,189,879,708,395,801,211,724,316,228,
940,047,326,778,565,698,783,203,102,210,030,549,834,566,523,186,789,172,353,
556,591,277,751,472,185,916,313,300,933,349,440,916,491,469,760,850,244,613,
138,177,200,824,096,727,298,155,138,981,367,215,207,181,754,505,211,596,863,
338,990,008,858,193,215,363,909,821,337,275,812,274,080,282,455,803,102,975,
363,066,349,924,526,001,271,703,441,195,202,177,705,586,284,239,534,545,463,
199,630,998,674,795,152,063,158,065,807,035,955,586,930,787,154,364,858,661,
206,807,559,096,261,511,004,134,658,119,897,097,803,530,173,664,983,820,311,
733,082,908,312,056,882,475,310,145,578,664,699,344,547,221,803,731,378,637,
639,483,052,788,983,074,697,329,438,772,347,344,186,301,090,608,655,112,849,
780,577,863,514,467,563,002,436,208,060,024,972,188,341,730,028,550,619,108,
757,070,479,012,027,374,787,994,186,599,203,599,860,209,432,863,791,277,424,
991,278,867,260,122,522,414,094,207,293,985,996,570,939,464,248,872,030,467,
421,444,795,716,694,631,863,578,837,793,281,362,879,955,560,871,270,936,054,
774,973,048,126,750,925,105,451,722,197,929,781,102,852,394,255,189,384,697,
168,201,713,830,963,187,536,832,061,402,721,629,817,999,935,306,327,411,868,
490,284,563,595,200,149,217,665,403,077,790,162,152,551,905,409,767,773,146,
044,037,629,974,655,114,266,314,396,031,863,570,041,064,708,173,768,966,725,
827,638,970,073,464,446,347,996,417,686,453,103,309,693,230,580,306,706,165,
091,766,909,270,796,747,947,073,988,968,265,323,336,468,343,519,612,600,595,
055,840,161,144,860,383,840,569,723,487,263,095,096,312,403,909,044,292,339,
742,426,569,260,140,496,346,488,823,387,555,329,904,533,692,936,958,779,915,
548,345,682,284,673,140,357,861,926,869,763,533,722,237,853,972,476,666,979,
799,410,194,217,680,709,377,391,584,152,916,780,305,509,666,462,170,609,422,
346,734,931,122,929,695,714,121,079,361,825,255,531,922,962,788,177,065,476,
256,020,842,541,631,160,392,526,104,327,195,028,424,683,714,450,123,313,611,
705,769,334,784,035,476,839,435,767,346,053,507,332,411,289,290,376,041,353,
178,243,160,460,427,039,562,329,334,581,146,881,416,035,626,094,925,608,989,
794,393,466,676,239,878,305,672,024,589,544,999,070,824,607,421,739,231,606,
084,295,975,650,827,259,361,362,898,007,410,706,574,442,975,510,792,565,712,
994,208,010,850,099,289,624,987,724,977,174,338,151,466,782,006,625,908,330,
427,870,546,192,065,282,081,857,904,733,566,884,268,292,567,472,467,814,789,
907,810,344,786,130,926,290,219,889,362,613,664,361,264,827,785,328,902,273,
034,240,260,925,417,296,862,792,453,198,796,576,491,967,284,372,457,562,590,
013,079,451,458,473,205,477,829,736,497,000,345,244,566,095,108,152,532,596,
248,336,206,408,776,517,371,580,765,185,879,269,335,043,491,710,074,356,057,
108,493,944,098,905,603,537,233,129,598,987,797,831,517,097,249,341,918,028,
202,307,568,319,529,809,753,309,369,983,808,821,622,150,860,513,996,768,790,
978,816,070,597,783,415,366,456,959,292,656,723,819,054,655,694,437,426,114,
655,325,655,133,278,098,811,101,348,381,896,016,087,137,760,069,207,729,681,
495,048,596,937,516,112,930,755,681,644,973,925,079,673,281,024,757,996,440,
796,544,490,766,754,963,920,042,828,054,952,021,288,294,806,547,412,374,153,
048,818,532,388,518,203,082,985,683,357,779,737,462,277,198,791,925,056,674,
125,233,139,517,701,861,143,832,413,104,054,257,777,765,384,935,407,307,034,
464,460,934,278,929,935,487,844,905,032,720,224,068,185,261,616,728,549,962,
912,460,640,567,258,083,163,330,067,790,883,065,998,614,141,173,568,180,122,
737,254,602,471,494,918,556,869,097,866,670,712,748,662,722,692,907,798,008,
225,358,740,932,158,904,942,028,908,005,766,501,534,071,315,399,676,082,966,
213,690,029,363,244,095,987,523,844,202,735,055,131,784,411,013,304,814,476,
423,723,537,606,894,691,906,361,693,177,787,020,966,864,313,227,656,230,145,
293,407,597,650,085,191,239,922,053,064,637,035,956,759,878,295,460,521,301,
882,283,019,833,822,148,735,539,140,947,838,600,929,221,896,990,317,235,509,
229,643,426,285,699,004,855,685,561,633,257,016,347,424,569,851,108,929,101,
591,302,277,615,672,169,434,642,238,582,333,631,931,775,193,830,483,729,002,
267,235,395,773,988,583,244,077,319,323,925,614,010,393,589,951,427,059,342,
517,128,301,085,367,290,047,249,208,168,528,274,147,431,023,302,143,357,091,
254,563,152,868,247,191,590,898,305,439,898,354,947,955,193,805,351,565,665,
224,932,079,828,207,502,313,321,576,785,573,269,426,897,245,824,617,256,581,
586,255,712,068,307,596,626,593,556,043,233,629,686,262,741,715,873,573,810,
241,620,271,746,880,847,721,740,768,661,537,436,891,740,110,354,908,559,174,
625,666,859,483,446,583,035,700,565,926,587,301,682,339,231,166,822,250,176,
587,054,799,369,909,553,556,944,892,778,222,054,270,223,657,989,948,681,433,
807,415,502,948,326,901,753,718,865,291,425,356,736,457,353,211,458,849,591,
861,448,845,010,487,303,548,939,121,305,411,304,601,694,703,896,428,074,661,
785,948,226,638,893,369,580,068,676,137,004,993,972,009,760,844,149,912,334,
087,113,355,622,740,018,887,221,948,226,909,798,096,285,349,426,355,514,605,
540,008,946,134,808,725,614,354,081,426,117,065,695,367,234,362,356,109,803,
665,747,625,337,274,038,998,702,943,542,135,359,418,966,474,788,255,859,569,
301,708,405,520,685,415,410,081,418,085,507,856,957,211,706,117,479,542,368,
840,841,441,759,833,744,882,200,447,642,630,842,797,804,604,865,806,692,562,
189,330,249,169,464,241,020,960,430,136,308,232,507,127,311,233,649,559,268,
548,886,614,229,845,342,782,509,775,205,677,089,526,451,402,618,302,215,184,
272,957,527,293,219,977,151,073,294,139,862,371,995,059,540,504,397,389,240,
889,268,621,860,434,466,717,234,099,851,865,294,707,970,437,362,716,758,288,
737,625,786,899,988,737,845,101,749,193,646,887,645,639,681,703,396,093,414,
925,663,627,833,961,800,794,218,438,093,680,382,076,872,298,704,190,625,939,
569,191,011,184,669,675,959,877,022,706,304,756,387,463,084,019,552,795,407,
972,504,507,240,014,937,583,796,008,405,231,169,292,394,945,856,014,483,220,
343,949,275,657,436,057,979,694,380,429,888,232,926,133,999,905,550,391,679,
605,932,204,802,546,469,027,464,879,001,959,245,844,801,942,898,162,158,530,
988,949,012,388,880,242,919,357,975,183,455,724,923,309,273,200,852,300,026,
254,590,296,481,385,163,473,283,650,967,260,211,512,738,642,779,261,462,682,
938,557,540,018,275,113,300,607,633,244,664,554,105,805,015,028,410,845,772,
827,289,643,229,544,955,289,071,278,400,407,558,389,356,504,939,149,433,383,
275,694,743,726,919,374,712,362,938,706,084,945,823,059,526,620,850,042,814,
159,816,375,722,823,368,221,896,409,651,765,998,916,805,185,158,965,333,501,
105,329,367,516,431,401,713,304,473,383,999,819,664,042,804,084,755,784,097,
778,412,937,996,918,937,200,489,323,673,329,244,314,749,927,054,459,505,143,
960,846,531,861,297,583,733,676,179,596,090,979,868,630,940,952,288,937,198,
898,007,164,259,500,070,769,590,133,417,271,385,142,383,604,952,690,075,214,
760,347,632,121,735,646,175,857,905,015,052,016,813,136,370,465,345,918,495,
452,531,559,174,720,445,209,717,769,458,778,783,402,115,896,051,315,317,735,
052,935,254,114,271,407,824,154,562,572,280,090,803,266,593,559,708,282,679,
133,184,432,645,764,850,164,804,255,525,077,881,051,670,349,851,284,108,058,
988,213,632,594,680,273,216,365,660,602,589,908,157,984,731,111,505,092,079,
636,617,700,699,666,743,718,600,557,138,962,973,697,150,654,542,830,684,253,
417,524,146,485,426,718,827,289,548,464,986,030,460,232,284,235,490,648,689,
993,164,707,027,580,016,731,328,348,734,044,528,631,050,751,833,823,442,626,
174,817,229,528,020,031,629,714,853,203,660,029,091,578,162,721,195,169,769,
762,841,625,669,050,054,067,056,152,158,062,778,400,823,580,378,623,382,021,
403,261,492,158,513,492,652,859,418,124,778,357,571,747,271,884,406,481,846,
221,831,584,525,758,673,034,641,958,160,478,879,915,710,342,484,781,911,064,
335,077,247,063,169,447,122,891,417,609,471,992,159,586,255,249,774,642,751,
896,498,952,090,408,409,793,478,727,301,196,573,348,998,308,616,239,821,735,
349,326,981,461,976,586,960,381,633,284,994,928,952,793,346,262,938,593,535,
528,708,961,134,454,123,376,236,044,512,771,940,411,425,638,109,063,605,702,
179,563,358,206,989,955,616,031,298,732,443,176,020,895,108,007,661,367,181,
445,573,546,656,549,691,992,165,005,907,029,694,729,316,247,791,005,510,608,
355,806,886,946,681,875,235,499,437,248,435,270,216,723,893,888,945,559,347,
863,912,601,827,163,820,408,393,593,736,189,333,939,989,339,083,601,414,550,
951,095,473,868,364,010,855,487,465,949,784,494,569,107,432,652,035,260,761,
820,309,287,084,090,869,179,533,515,075,202,164,804,524,550,611,304,778,598,
032,688,924,360,594,306,763,475,304,176,796,325,797,881,843,934,244,782,937,
027,740,221,365,171,601,971,890,424,785,897,705,432,373,619,523,781,377,991,
002,292,000,110,748,616,056,684,133,480,743,329,317,502,936,256,656,139,056,
008,576,712,964,162,615,588,412,825,382,235,744,681,906,073,327,366,130,941,
078,121,790,356,188,020,868,383,495,835,670,427,128,706,567,932,178,466,713,
524,808,118,593,273,153,646,094,803,540,026,890,483,345,343,830,137,975,707,
276,259,071,038,692,985,644,424,968,086,425,601,058,306,293,234,303,338,143,
775,172,159,490,742,116,631,230,139,467,046,301,982,229,753,286,509,747,620,
102,384,177,584,389,210,855,406,939,399,260,307,258,768,201,828,788,457,405,
259,406,672,158,066,448,925,357,843,915,999,280,191,884,867,570,947,135,229,
418,963,499,900,097,478,842,745,431,071,983,218,530,146,716,970,409,289,873,
981,163,730,661,794,876,722,995,675,194,464,461,878,065,503,933,417,625,058,
093,503,727,439,240,759,346,820,788,863,400,685,936,876,422,878,983,350,694,
145,184,127,207,206,738,622,648,284,242,067,283,383,935,348,869,323,582,554,
844,590,958,644,273,319,059,674,864,416,791,209,590,988,129,894,521,659,883,
600,940,815,853,539,251,144,820,645,882,498,623,167,856,503,053,222,858,489,
128,430,477,924,625,782,065,548,081,960,633,007,305,621,945,991,051,714,390,
178,951,539,177,179,562,597,611,761,635,530,876,111,701,935,430,844,835,880,
315,203,938,725,891,390,857,444,330,607,434,842,108,776,540,493,784,644,501,
401,802,120,174,025,213,046,971,581,808,983,261,674,491,210,681,089,727,349,
947,285,520,897,605,416,896,791,635,945,777,645,747,601,717,417,141,629,661,
315,701,607,066,427,953,079,728,797,526,852,521,475,044,263,215,706,841,652,
957,768,305,080,136,217,129,457,301,854,543,873,987,686,344,906,643,427,137,
861,512,409,744,944,481,762,235,385,266,519,907,852,847,828,862,548,858,848,
059,539,391,494,354,715,290,544,238,029,903,886,916,705,414,461,168,387,794,
761,390,227,621,508,855,861,892,079,880,523,797,897,372,747,414,604,523,893,
004,804,749,811,171,046,798,359,220,180,737,575,597,409,313,184,903,548,821,
264,467,643,802,596,021,644,239,360,856,627,911,335,828,322,062,591,824,396,
649,331,125,889,554,620,511,949,164,658,858,839,064,642,016,142,551,169,311,
489,157,898,752,701,027,344,603,317,570,128,999,527,775,131,459,645,900,053,
745,331,008,197,574,172,577,628,075,756,386,629,755,138,730,555,875,402,118,
359,557,004,748,362,858,429,665,590,869,345,252,849,171,072,080,960,784,934,
487,936,377,565,214,685,084,609,689,749,097,701,736,921,533,633,187,900,262,
674,339,118,388,679,128,024,176,843,552,791,100,072,244,919,893,529,780,608,
577,589,907,097,850,287,287,007,577,750,188,091,583,570,449,000,799,658,937,
327,615,433,844,990,390,682,280,629,294,587,077,617,805,188,742,528,607,302,
822,448,290,904,623,463,535,861,774,078,162,139,593,498,104,361,793,047,593,
306,696,031,399,753,703,896,316,921,219,452,051,258,481,480,361,834,218,241,
787,477,240,906,999,880,364,542,187,665,370,838,424,209,781,420,924,987,403,
521,266,418,114,423,237,382,377,091,287,107,951,048,228,015,920,295,767,917,
064,523,744,421,719,694,739,569,208,518,537,266,372,260,479,777,149,161,710,
896,546,399,658,233,382,598,551,344,452,079,156,285,149,783,168,701,386,828,
842,490,551,763,483,786,805,713,519,181,710,992,091,762,628,683,977,566,552,
186,746,359,989,578,108,301,998,194,914,333,484,811,223,756,335,180,560,585,
716,532,485,036,666,881,609,484,973,885,125,557,565,340,756,440,594,051,220,
771,165,311,829,421,636,867,039,730,984,227,149,493,242,750,396,218,089,859,
380,283,112,548,230,607,013,348,336,705,575,592,373,924,703,412,185,796,248,
295,384,510,109,640,617,388,718,970,727,233,277,994,240,885,027,602,778,805,
283,324,176,292,534,065,643,208,428,281,529,720,218,196,791,378,515,238,228,
240,221,702,638,141,705,386,386,707,935,446,065,328,177,489,425,215,066,644,
484,662,161,112,375,700,998,613,141,376,265,897,059,510,616,436,549,813,968,
535,477,570,371,679,581,068,906,358,733,907,492,145,127,236,036,013,454,823,
672,379,078,899,894,083,740,623,185,453,262,313,909,433,118,148,302,050,218,
017,945,062,501,758,873,149,862,757,478,199,611,367,000,023,816,455,108,584,
817,788,054,324,833,666,193,152,543,293,491,733,874,965,806,688,431,096,398,
621,851,343,569,851,502,916,672,761,311,319,249,694,459,720,315,853,094,768,
433,429,720,884,158,539,074,577,234,551,554,868,169,559,749,146,937,123,087,
148,645,511,883,433,689,263,024,015,808,574,082,504,763,270,832,220,756,491,
656,232,505,154,513,159,180,578,588,817,832,275,464,641,118,491,188,966,382,
456,378,640,915,195,901,927,233,678,314,334,695,989,804,609,301,917,824,397,
006,936,781,647,352,067,996,377,816,218,559,868,383,809,100,534,840,914,739,
022,235,294,573,436,653,165,739,899,287,507,753,564,419,185,060,861,981,626,
279,123,403,981,619,677,001,310,586,823,792,399,039,284,768,865,466,174,784,
916,145,196,655,845,641,218,126,436,280,160,387,804,578,982,336,169,767,758,
527,793,899,853,656,381,293,018,724,435,371,082,372,987,763,641,117,187,453,
079,721,251,015,873,607,847,394,427,680,687,418,995,260,606,117,486,427,275,
612,428,880,633,644,830,312,259,187,426,926,427,934,044,845,551,366,323,508,
149,362,702,136,451,031,814,504,866,039,153,282,550,945,928,549,744,803,002,
713,658,946,665,494,676,707,647,842,972,633,031,760,975,231,002,647,013,505,
263,750,656,653,026,878,399,159,688,947,418,146,641,007,016,691,756,325,761,
261,225,008,426,572,575,860,801,309,042,530,763,986,730,516,695,387,696,221,
116,110,653,152,586,666,675,816,787,244,182,907,570,132,835,822,082,980,749,
611,418,664,208,037,520,536,970,208,530,537,073,819,010,554,329,691,599,343,
366,416,340,495,679,997,667,811,093,066,872,045,219,317,736,514,356,182,226,
685,035,964,448,371,845,013,529,211,661,166,070,499,652,591,228,067,621,875,
809,880,940,801,890,312,895,238,344,477,131,455,629,866,252,148,676,534,080,
237,059,546,933,201,577,519,139,481,947,062,338,998,824,246,588,520,662,451,
052,066,547,790,776,883,237,487,501,842,753,165,771,631,085,011,532,620,695,
010,922,937,177,009,618,172,784,729,351,261,115,677,613,949,791,029,745,550,
557,664,616,167,384,855,609,077,351,253,647,488,240,811,563,507,121,625,868,
946,623,493,407,349,863,560,554,580,830,048,330,326,529,901,444,113,859,179,
526,102,630,383,220,612,747,056,903,235,012,385,502,590,681,472,143,268,266,
673,467,119,857,509,972,409,015,363,692,645,668,255,274,131,357,445,226,290,
236,086,488,682,505,346,399,576,846,646,399,021,599,408,570,284,946,220,301,
804,295,577,369,791,156,541,680,803,985,396,984,374,405,067,731,507,682,929,
430,066,492,093,720,543,948,393,304,173,613,100,370,020,893,401,703,820,746,
135,811,842,541,967,024,273,855,135,059,574,401,671,830,878,456,332,350,337,
554,473,008,776,616,863,331,233,953,890,255,316,578,158,455,320,055,083,355,
154,958,719,311,622,613,627,050,888,306,309,595,330,781,054,469,246,119,987,
508,487,831,092,442,722,407,882,934,620,123,919,451,751,670,152,915,138,947,
039,626,079,031,342,828,587,144,645,680,285,213,742,779,827,910,262,440,762,
195,285,462,087,099,616,530,803,391,583,713,171,549,162,225,659,507,427,833,
035,698,948,486,086,183,891,626,879,595,951,964,389,701,154,955,489,228,370,
679,309,610,911,022,657,347,691,671,465,230,644,974,680,015,544,095,409,191,
601,729,751,869,548,839,991,743,353,438,567,016,005,795,205,549,526,717,771,
293,418,377,198,192,350,714,239,729,955,225,723,023,536,387,401,716,951,470,
268,935,621,099,794,723,444,449,484,924,977,477,354,186,852,968,995,009,481,
990,416,356,502,556,681,024,169,522,657,817,190,519,451,832,302,662,286,467,
386,838,580,618,272,613,964,532,118,115,284,292,920,640,495,871,953,648,343,
361,147,048,156,496,179,700,961,034,987,971,395,369,466,076,514,641,955,668,
164,978,256,104,450,805,429,046,924,855,253,143,500,862,467,477,442,003,410,
278,294,457,386,380,127,087,324,324,660,766,816,224,759,129,179,711,535,601,
090,923,653,514,276,724,925,292,823,277,272,051,046,321,238,907,987,438,770,
140,010,754,183,613,813,151,576,681,711,731,833,067,888,936,760,775,614,309,
716,098,952,278,815,424,278,557,108,374,603,213,029,291,860,886,839,629,977,
976,984,081,512,612,196,401,675,948,018,090,809,030,202,852,021,351,034,763,
010,223,943,469,235,456,684,419,722,866,891,148,719,573,799,687,994,956,624,
807,140,013,221,858,916,067,904,157,052,563,068,409,863,409,402,850,576,353,
471,107,858,776,827,215,638,171,086,569,687,354,085,268,569,018,912,999,996,
004,189,378,250,307,317,740,990,563,668,251,796,086,068,742,468,824,083,752,
965,578,326,469,977,730,220,046,369,394,835,210,339,934,492,646,662,658,492,
313,363,847,888,088,925,562,234,766,261,308,850,839,681,763,479,270,184,010,
729,698,197,560,125,624,756,195,757,377,300,926,581,101,765,038,346,391,587,
882,887,608,548,581,143,816,665,243,031,415,476,839,619,489,797,962,851,910,
615,521,316,446,148,532,769,021,265,998,280,405,091,780,372,241,851,581,737,
154,678,315,391,296,172,305,589,367,421,329,449,826,079,139,418,505,640,004,
205,928,285,354,517,616,270,324,955,334,364,826,744,448,801,999,644,002,495,
063,873,173,603,127,078,880,411,783,342,234,956,634,158,442,681,430,397,947,
271,532,712,298,216,207,139,421,038,389,787,742,400,423,612,628,286,042,919,
986,444,755,866,999,733,904,017,005,030,199,547,052,400,855,673,118,511,393,
360,606,779,780,975,650,854,635,316,543,752,091,524,614,567,143,719,909,732,
859,658,377,222,189,633,674,566,393,292,100,308,111,356,016,589,300,671,991,
770,939,769,203,428,298,905,799,800,801,860,774,640,378,161,073,236,265,148,
769,928,218,009,413,689,883,896,822,746,870,127,349,518,190,844,421,693,666,
317,085,619,849,192,787,634,748,811,459,042,586,292,035,815,231,383,857,225,
750,367,707,442,295,220,913,412,902,062,168,423,918,494,347,183,249,296,878,
197,950,391,191,274,878,833,554,188,863,775,868,944,128,062,351,768,346,434,
376,237,884,173,184,255,404,488,903,321,764,810,370,979,345,760,257,646,719,
823,803,113,051,983,436,285,876,656,276,626,295,952,382,508,666,498,830,128,
636,329,561,037,606,692,509,435,766,661,638,099,398,571,602,429,534,755,792,
176,735,539,524,882,650,186,509,912,740,310,758,014,289,412,591,353,944,966,
484,730,089,569,079,184,743,403,438,106,234,480,836,674,142,228,884,624,775,
070,952,049,059,850,937,314,009,329,803,224,706,493,581,468,574,916,134,755,
517,724,129,036,938,611,553,660,633,345,247,745,409,773,455,028,487,337,632,
935,040,225,709,014,453,870,810,383,130,860,895,387,670,778,886,472,886,625,
171,877,538,277,588,699,599,802,517,764,605,244,438,740,833,562,742,251,610,
007,501,987,004,724,620,937,455,279,650,651,998,159,668,655,438,004,308,379,
500,696,935,556,426,429,030,835,313,828,150,015,255,878,662,787,831,198,200,
582,477,741,471,059,947,300,037,702,068,699,700,704,223,969,975,116,007,177,
640,091,565,915,233,814,373,962,027,665,276,095,157,967,205,913,291,479,957,
369,371,505,675,160,658,348,635,547,486,209,177,529,893,378,820,345,276,496,
271,856,623,848,203,768,136,811,119,055,534,116,629,824,499,558,563,202,350,
731,456,345,030,780,027,809,517,450,568,816,836,292,977,695,387,516,918,037,
221,178,941,832,825,864,428,392,227,183,502,026,387,399,466,089,881,498,971,
911,457,919,117,498,005,759,465,239,034,676,204,858,009,523,103,611,056,234,
896,806,470,891,654,687,372,344,638,709,027,297,225,330,164,177,458,444,613,
411,212,551,792,595,332,124,009,377,692,502,626,814,412,640,367,145,343,081,
777,232,094,467,600,890,027,706,949,622,757,302,815,225,317,748,651,181,000,
306,174,016,175,218,082,748,009,745,583,213,322,262,890,340,431,393,804,780,
267,724,656,476,772,270,700,078,856,452,846,244,665,481,630,813,800,500,770,
805,010,656,087,813,730,639,119,794,571,020,300,390,752,350,749,724,044,573,
603,162,782,226,743,398,908,158,904,032,597,238,743,642,677,546,718,068,056,
029,934,580,928,069,314,086,970,831,968,153,480,625,126,804,522,837,336,737,
450,326,229,119,108,037,214,662,459,463,984,681,924,662,886,627,600,984,525,
366,323,443,330,767,381,798,920,410,940,238,272,033,459,463,476,960,075,986,
299,885,718,952,763,990,549,677,882,562,526,553,030,266,306,286,451,078,860,
570,568,693,978,584,532,397,740,444,525,886,040,445,275,774,906,397,912,736,
530,822,112,302,408,181,920,536,642,106,577,633,958,028,508,161,537,727,789,
830,468,820,554,084,858,759,807,716,033,091,186,722,081,957,232,425,478,195,
224,148,421,885,895,069,595,702,759,346,904,382,309,834,488,793,385,789,619,
775,995,291,523,857,101,084,461,969,498,898,906,674,153,053,755,893,694,756,
118,668,978,510,508,770,704,115,735,073,554,688,174,886,927,750,965,849,556,
397,058,941,836,887,292,713,018,592,004,208,121,335,038,099,205,387,953,854,
281,964,951,842,886,569,900,815,171,751,580,674,031,407,697,259,963,194,809,
917,895,534,291,603,486,343,975,679,502,338,963,584,232,138,420,815,937,805,
622,219,671,655,598,487,143,998,048,109,539,581,040,596,959,121,077,103,716,
298,562,646,435,262,162,274,654,175,315,968,948,480,508,968,251,458,775,758,
951,036,269,786,414,241,505,564,801,476,163,940,286,347,315,960,359,444,224,
616,919,843,516,281,099,957,906,461,780,054,640,191,378,652,424,243,504,238,
989,162,488,073,983,203,955,502,085,214,022,704,865,356,168,576,347,446,419,
217,733,050,091,265,607,882,954,338,713,704,751,466,943,196,573,821,621,439,
911,771,637,412,012,249,428,565,346,932,768,650,133,514,901,846,725,199,784,
571,488,826,528,476,821,325,185,285,849,407,924,812,925,158,247,585,328,327,
724,041,300,977,538,649,928,510,384,459,142,441,616,581,285,244,645,677,683,
484,747,163,706,145,257,998,739,603,873,315,032,742,488,427,655,350,896,528,
832,680,039,140,720,329,079,851,026,091,480,884,767,822,593,722,182,232,148,
710,164,114,848,841,024,782,789,003,266,834,212,062,609,377,569,636,983,743,
246,288,882,537,001,595,651,958,092,532,933,904,056,737,113,374,698,720,447,
779,624,192,964,699,879,764,889,444,056,572,430,356,614,802,711,611,667,938,
340,966,893,184,329,461,200,302,400,443,296,242,683,370,040,922,644,007,299,
208,679,779,007,512,301,623,904,219,711,349,599,015,401,517,903,732,923,018,
107,744,330,061,663,453,558,203,902,834,755,518,582,430,807,182,074,798,598,
711,577,945,509,294,052,772,326,159,665,334,011,073,354,130,272,311,528,446,
366,539,084,001,134,738,745,928,825,998,997,664,181,707,514,604,016,805,305,
636,011,471,674,603,092,032,498,367,574,246,007,412,723,705,769,376,474,386,
076,376,791,224,581,931,764,899,147,052,195,013,220,239,010,093,989,608,791,
367,470,986,630,970,441,169,051,096,623,524,036,979,917,699,244,963,074,661,
263,403,337,856,446,400,534,301,343,923,407,017,960,010,317,086,512,212,117,
621,141,838,166,230,777,583,341,864,482,061,977,163,970,001,949,633,066,339,
319,882,066,825,188,494,422,088,333,234,646,584,551,611,572,215,383,157,353,
049,090,360,442,650,470,280,302,097,597,715,344,116,000,138,308,460,102,084,
268,770,924,233,272,898,028,513,342,557,309,053,679,740,974,072,508,678,424,
376,014,602,569,222,451,412,008,295,945,916,144,995,708,791,516,799,897,973,
390,353,087,065,225,562,344,260,538,890,295,748,939,793,078,318,255,501,843,
111,904,826,349,124,330,818,962,419,031,460,810,555,492,383,471,816,860,241,
995,967,650,833,034,714,361,928,820,748,129,345,550,763,485,786,338,289,315,
974,608,856,981,699,506,456,259,903,499,823,585,530,373,367,796,484,957,419,
448,784,721,165,233,529,112,109,388,970,940,132,702,877,222,221,703,304,044,
684,668,475,886,099,495,059,955,937,762,116,809,230,796,747,820,456,207,143,
716,741,853,218,016,631,926,004,945,284,836,744,695,072,257,329,663,325,334,
517,914,710,853,535,766,018,143,866,342,492,174,028,002,579,739,345,868,090,
843,818,981,352,686,102,314,216,106,364,464,689,584,126,673,514,320,227,187,
117,357,150,738,565,504,651,128,018,410,710,074,311,809,376,445,337,466,583,
816,172,953,879,665,006,875,800,985,470,963,245,228,631,984,624,990,513,418,
088,835,673,277,901,270,057,552,071,193,564,877,287,622,481,585,113,207,186,
814,238,193,784,878,628,041,189,134,105,516,304,340,194,397,380,230,687,356,
364,131,177,022,167,026,915,299,230,501,934,284,869,993,473,391,091,123,360,
449,873,701,711,072,003,257,830,607,148,384,247,273,285,477,339,093,084,873,
551,174,194,365,366,202,408,353,873,936,990,676,834,190,160,932,555,469,605,
693,978,618,408,463,736,452,816,649,595,966,371,379,599,924,379,205,361,809,
017,660,674,901,852,877,473,002,107,949,044,648,114,414,884,556,740,669,116,
178,860,697,370,929,890,426,091,059,433,925,137,375,305,178,588,034,800,927,
672,634,386,838,153,100,845,563,769,803,823,982,158,371,628,530,917,181,094,
716,065,260,671,962,665,597,433,265,932,383,477,012,927,050,903,938,315,808,
052,582,700,025,940,145,842,509,529,179,918,350,642,073,869,907,811,626,541,
865,009,585,905,422,847,609,740,724,615,893,188,353,389,211,546,778,274,089,
312,167,417,663,853,228,461,261,182,436,170,714,100,073,754,410,229,073,392,
662,798,405,075,957,456,529,245,707,718,713,063,553,195,411,723,940,613,033,
895,967,780,738,667,504,686,605,211,558,843,376,332,786,689,299,832,196,195,
389,651,163,784,580,163,197,662,503,012,575,076,601,682,125,969,024,953,317,
123,621,006,185,122,414,788,259,178,742,759,400,261,430,221,525,144,629,842,
824,882,210,351,742,672,251,479,225,650,094,035,099,609,492,255,693,046,452,
235,246,212,510,024,792,700,900,888,921,474,179,142,921,131,049,636,732,364,
648,551,128,259,706,053,434,116,616,737,832,429,842,947,432,784,956,369,624,
607,905,845,980,940,703,368,102,120,016,735,169,253,533,990,954,440,020,104,
193,048,649,163,815,103,294,003,644,659,598,418,381,494,117,971,225,302,147,
851,111,719,117,119,106,642,542,324,388,645,709,055,653,728,829,659,496,971,
064,123,441,718,029,544,416,865,377,204,747,645,882,310,312,549,474,427,067,
022,319,340,747,305,248,171,965,368,725,982,541,224,397,912,485,983,340,605,
968,639,651,933,395,020,889,824,476,095,680,667,253,387,258,805,745,766,824,
461,440,355,819,849,870,646,205,913,646,064,299,127,083,266,721,605,228,977,
391,648,131,371,860,728,789,459,543,220,249,768,588,910,146,470,819,292,232,
821,236,935,780,630,741,381,596,639,410,883,106,969,082,115,718,060,692,560,
096,401,410,699,753,986,484,069,086,805,847,979,083,449,130,855,214,619,699,
631,407,727,044,109,898,254,393,099,178,032,060,593,055,893,135,233,900,010,
548,112,443,452,360,832,177,625,634,101,670,761,963,386,913,300,361,147,825,
673,175,547,669,007,937,551,138,463,486,771,355,308,422,662,409,792,759,961,
189,811,583,893,409,017,874,911,378,819,711,935,928,774,284,977,003,230,137,
270,598,836,928,349,098,176,798,573,544,752,066,707,249,331,695,442,584,797,
834,201,711,650,076,683,275,246,601,928,695,725,422,177,336,123,720,150,271,
906,170,853,577,825,621,298,686,890,657,934,121,257,948,950,833,909,747,042,
364,852,216,290,396,930,609,518,085,568,255,336,749,036,800,535,721,147,225,
536,350,919,806,810,867,386,346,512,347,933,265,589,556,550,700,469,789,277,
763,780,113,076,520,117,503,026,450,412,779,068,253,736,278,232,069,655,458,
980,351,848,773,748,778,648,617,939,809,499,999,329,228,614,890,173,694,524,
325,198,484,821,929,988,966,562,124,987,413,182,415,643,893,678,052,958,261,
363,600,324,193,245,566,528,317,547,254,157,144,035,915,198,443,244,539,322,
620,901,876,505,154,700,682,181,983,549,832,334,070,174,728,017,237,974,039,
434,849,973,701,995,989,128,492,009,831,476,481,541,764,798,879,610,249,579,
393,113,419,597,765,649,234,526,095,238,488,342,850,823,774,793,905,646,492,
094,672,928,096,882,973,804,027,796,275,256,206,960,023,562,885,563,014,748,
539,211,817,907,018,333,134,528,592,258,075,659,482,797,904,492,948,029,106,
294,493,628,263,731,560,557,367,055,614,602,197,621,310,555,928,900,299,468,
932,713,412,136,481,449,896,519,897,936,555,280,241,637,517,976,943,533,459,
750,606,806,897,263,403,884,850,026,592,876,993,923,128,668,861,496,016,305,
229,716,016,364,355,445,458,972,816,447,325,373,760,261,397,206,407,707,570,
035,100,982,629,384,236,830,752,394,434,377,684,002,007,888,562,194,629,771,
165,176,218,560,678,996,122,377,128,815,409,014,413,772,185,508,914,278,842,
164,496,218,617,865,182,032,143,210,807,107,566,916,842,713,164,452,860,670,
795,948,832,620,020,528,823,969,132,584,001,991,964,398,826,835,229,172,453,
849,486,095,919,706,041,665,933,537,692,659,548,342,094,666,947,850,830,313,
955,864,067,768,606,221,164,556,916,339,778,163,549,050,409,564,610,311,809,
995,713,917,442,199,677,659,629,028,006,847,382,315,769,544,336,417,118,184,
538,149,370,305,342,863,808,288,083,504,322,934,822,245,192,951,043,021,910,
566,448,333,594,043,110,578,213,526,424,152,844,828,321,112,376,088,377,009,
595,631,249,588,345,560,836,740,989,005,669,389,532,546,290,092,004,607,002,
823,062,422,337,611,240,658,404,861,178,308,442,722,365,613,890,620,134,344,
337,229,003,577,488,848,168,943,418,033,224,443,420,087,695,170,609,275,686,
698,648,083,380,640,692,963,485,491,644,553,929,731,654,043,643,002,774,116,
874,862,978,600,219,854,268,786,696,291,484,939,144,850,568,973,935,186,701,
668,042,874,805,198,099,475,976,561,061,642,235,524,315,737,522,570,004,357,
378,450,841,030,042,451,086,767,539,096,688,852,503,880,364,519,493,569,680,
978,897,648,133,090,933,161,541,833,323,889,781,055,758,152,295,498,554,160,
767,283,508,716,713,843,534,478,538,408,158,084,370,809,420,575,294,894,633,
126,037,083,136,216,035,184,250,501,967,756,248,410,719,056,586,401,487,683,
356,967,031,017,350,253,948,805,723,476,131,753,703,024,162,193,466,816,958,
870,107,120,160,936,152,673,579,503,865,076,714,569,191,087,632,700,431,064,
662,507,766,319,888,278,821,535,555,039,958,136,183,335,944,497,967,743,996,
293,543,903,282,671,881,554,823,793,631,207,287,477,930,681,032,658,901,162,
419,059,915,055,504,791,821,782,821,066,907,747,557,561,344,271,841,344,327,
809,395,559,071,277,572,126,095,251,828,744,431,591,927,906,869,318,112,703,
760,164,234,010,129,770,965,092,633,087,142,044,023,000,632,056,643,381,162,
224,934,480,818,670,031,168,044,646,612,283,208,655,604,252,127,043,178,053,
719,785,073,474,800,345,580,183,244,456,007,367,639,717,810,068,940,322,765,
995,470,950,982,967,532,966,474,590,956,352,291,092,944,269,201,313,537,343,
215,822,831,456,814,195,793,448,681,607,758,323,511,309,552,889,753,573,021,
197,824,532,630,140,211,176,669,236,714,437,435,900,027,326,091,415,242,183,
084,395,866,958,262,151,559,471,299,140,438,763,177,120,482,925,415,021,480,
117,889,175,700,556,023,742,610,388,299,470,463,635,022,518,266,184,093,646,
008,168,648,364,112,223,241,247,776,179,254,989,871,862,790,977,834,440,852,
042,655,393,490,760,276,465,137,304,527,372,992,350,480,675,102,962,582,088,
601,716,836,340,398,489,483,554,429,069,260,773,877,135,501,166,417,538,707,
148,928,903,435,448,787,389,688,170,297,020,940,556,199,212,978,881,632,938,
942,802,791,508,433,491,372,466,734,986,608,032,007,948,973,372,532,567,951,
778,659,068,610,082,178,312,971,979,055,363,187,528,344,954,191,840,452,187,
351,430,255,133,099,609,477,487,588,212,637,114,516,457,082,525,629,624,148,
911,114,234,287,158,849,330,939,567,563,072,567,497,995,947,072,204,476,326,
719,096,964,750,388,973,634,649,029,644,524,059,309,826,452,343,341,707,847,
809,550,308,649,497,650,726,126,443,905,202,956,292,082,804,136,914,182,111,
239,183,906,581,939,831,738,787,695,019,592,031,250,312,037,158,624,777,689,
579,720,064,452,476,062,011,251,191,024,618,801,939,561,706,601,136,789,435,
390,539,938,227,001,551,946,137,210,411,531,922,982,170,682,059,787,891,887,
179,993,963,478,277,073,225,922,544,746,594,268,297,572,376,374,267,899,761,
915,156,867,022,264,718,122,411,361,901,514,592,022,000,193,161,547,939,022,
321,152,670,451,444,666,169,775,836,818,873,820,277,733,016,700,740,233,043,
122,151,363,312,300,855,140,093,924,363,583,171,010,817,075,821,732,952,627,
214,221,775,247,213,743,366,745,060,894,131,710,289,881,954,248,075,713,311,
093,659,318,991,567,620,888,341,718,255,736,792,658,755,465,941,074,022,304,
592,036,558,510,942,916,021,146,771,494,904,899,247,646,211,808,438,982,246,
570,984,481,198,845,317,034,494,712,851,114,443,587,334,829,332,531,347,891,
118,434,650,740,191,687,053,661,059,662,900,292,354,600,972,546,758,924,036,
103,720,736,665,264,398,658,858,759,798,787,922,487,688,940,487,199,567,851,
939,189,276,577,840,797,026,480,859,438,197,678,111,093,663,145,719,970,919,
076,854,293,490,590,401,338,861,950,353,779,793,171,590,006,746,211,339,387,
966,012,149,778,886,006,595,538,095,583,928,369,748,797,220,444,332,605,199,
542,248,094,366,740,498,230,605,989,529,248,374,694,032,727,095,365,118,889,
008,812,240,295,011,283,905,399,722,690,564,026,115,341,175,791,278,801,418,
451,136,999,716,181,999,781,180,047,919,869,586,828,814,514,538,638,051,725,
777,057,715,902,541,017,968,703,127,515,355,496,848,262,621,292,246,735,143,
224,775,685,964,129,809,361,420,390,587,591,872,899,149,888,572,094,118,377,
387,449,416,756,948,798,198,695,744,224,022,362,250,972,225,619,604,320,933,
256,193,971,547,742,360,679,403,045,647,535,998,431,337,489,342,757,120,371,
466,662,040,010,566,249,468,108,731,195,727,609,401,807,859,585,739,966,752,
337,158,035,366,737,720,100,213,237,783,628,656,003,429,527,203,398,708,598,
742,846,253,189,903,810,433,955,383,362,903,374,049,255,043,266,763,029,023,
857,166,251,861,424,247,959,685,648,618,326,781,195,258,315,510,052,257,895,
554,012,700,099,282,174,872,787,036,735,359,103,024,598,331,575,871,257,939,
299,370,255,348,825,871,594,064,898,120,484,334,003,945,787,474,832,376,127,
445,504,237,533,719,832,600,017,671,700,143,850,827,848,740,790,614,481,278,
248,381,977,992,296,549,347,079,097,309,811,148,858,147,516,550,095,958,409,
899,483,113,710,918,165,793,794,286,172,199,690,035,745,744,509,813,285,456,
597,379,768,264,955,059,265,311,982,980,538,474,551,066,332,562,359,782,520,
148,327,278,967,635,828,707,800,101,123,553,774,160,091,272,105,361,681,914,
142,278,890,847,363,162,524,462,328,168,738,094,041,552,797,303,960,086,795,
717,448,138,345,129,382,510,061,999,866,428,630,821,047,379,081,125,056,775,
759,312,452,882,957,585,329,307,520,210,323,719,858,370,906,344,267,714,525,
015,496,588,048,644,988,532,967,907,580,130,490,632,679,461,064,903,016,546,
454,786,047,753,389,225,698,150,292,235,547,718,501,248,181,148,070,095,053,
859,270,964,850,813,936,465,368,463,189,849,760,061,470,042,154,364,409,247,
004,639,668,456,053,636,988,878,611,170,714,167,058,588,477,724,018,458,671,
879,069,464,627,250,434,667,722,351,441,013,862,653,862,670,057,203,294,335,
513,212,600,667,583,429,216,435,056,569,503,300,996,831,736,854,388,833,425,
335,273,077,282,737,867,276,008,200,998,543,861,482,975,275,018,650,776,152,
314,122,784,654,349,145,093,228,108,744,703,970,358,207,379,318,924,846,625,
671,415,056,833,884,241,545,607,809,805,196,113,797,715,056,257,220,029,405,
674,282,846,993,027,385,056,859,592,354,430,079,861,148,128,505,831,829,808,
016,526,720,963,613,741,291,952,014,042,628,010,441,375,550,784,164,472,932,
894,773,552,115,672,782,171,760,704,539,219,048,405,764,565,784,122,752,398,
674,105,200,571,668,711,814,118,042,914,055,017,702,056,778,332,851,278,464,
901,303,612,063,067,421,140,272,287,387,982,057,211,683,389,485,194,404,078,
591,939,375,832,100,126,865,925,794,329,085,444,382,170,592,489,871,835,605,
421,255,435,325,952,238,661,494,595,224,904,232,217,344,037,410,113,469,720,
850,728,877,331,346,659,356,097,725,498,940,337,489,060,486,398,615,505,406,
985,210,153,527,595,292,041,451,927,370,697,125,526,456,086,946,610,545,181,
458,695,460,003,051,216,483,925,629,721,789,996,219,149,837,286,588,018,165,
778,123,381,237,156,712,541,566,954,857,879,012,520,010,427,586,949,814,611,
618,482,291,146,390,953,293,960,993,103,759,312,637,124,091,738,205,541,293,
792,240,395,921,926,143,147,460,399,472,196,967,980,770,823,195,821,945,232,
944,355,938,330,639,637,164,521,563,626,758,302,945,085,839,672,682,962,837,
302,287,345,533,564,239,420,906,106,700,940,739,653,726,995,836,990,936,555,
872,551,802,949,645,450,171,552,782,225,726,681,361,288,042,646,056,562,066,
144,171,672,903,445,231,731,321,286,688,184,679,603,838,380,789,449,249,346,
772,529,830,780,023,316,464,836,956,398,574,390,763,532,169,790,478,301,803,
597,801,349,622,717,995,991,994,636,107,855,794,325,191,695,682,020,982,958,
771,118,254,780,325,767,925,202,933,789,716,596,148,372,945,014,329,566,684,
372,697,022,467,908,367,179,896,217,040,413,109,755,439,988,963,156,908,983,
118,964,628,240,410,077,245,867,922,296,419,830,399,732,632,590,485,344,871,
309,892,366,426,042,332,527,889,263,441,940,388,241,872,693,039,661,030,168,
401,192,289,697,141,670,593,007,769,269,110,424,317,960,444,404,091,137,017,
093,478,752,648,681,153,078,445,584,415,565,177,393,326,145,961,679,152,870,
222,426,550,701,193,523,253,405,141,324,022,047,523,512,799,422,326,820,353,
630,158,399,859,907,667,771,613,943,890,912,768,911,770,961,807,332,430,160,
250,465,317,480,010,567,243,191,819,537,612,895,981,721,732,825,051,853,350,
947,770,279,240,929,538,546,866,065,825,697,701,786,110,495,305,626,577,991,
342,587,360,094,656,641,587,582,107,009,539,844,594,675,805,034,205,807,394,
506,167,932,278,473,137,681,220,378,513,678,435,740,411,577,141,332,027,683,
811,125,900,170,685,646,479,670,001,732,521,536,807,953,383,131,323,186,786,
314,082,354,643,871,129,648,917,355,908,959,184,527,076,238,324,849,216,012,
317,530,934,546,429,072,447,246,028,475,556,742,366,226,579,594,856,915,454,
199,247,607,467,921,318,648,006,705,233,660,322,322,344,667,628,192,519,362,
727,773,073,829,057,946,697,091,760,013,443,319,864,572,798,048,640,650,799,
440,197,369,963,927,479,154,076,038,881,675,189,858,129,538,672,346,829,088,
255,466,955,465,593,406,763,870,599,095,581,221,983,585,073,077,458,712,303,
307,722,272,000,199,730,014,277,848,267,370,418,244,873,515,513,625,703,125,
354,046,126,539,903,572,150,698,130,259,005,885,896,248,296,675,543,641,279,
648,607,285,873,634,651,309,600,890,118,268,696,159,465,643,296,023,067,556,
102,206,246,435,471,003,857,023,475,549,916,613,997,993,487,625,022,021,081,
721,734,991,163,218,642,229,067,574,987,838,916,571,332,077,854,860,143,639,
489,449,109,261,290,536,499,767,639,421,444,903,993,719,096,483,389,393,937,
367,649,604,427,662,957,730,117,153,835,334,208,937,449,429,846,982,906,541,
519,561,602,392,957,064,149,648,747,082,240,061,617,490,704,885,255,452,229,
030,198,781,945,331,333,421,736,291,064,362,768,266,700,611,253,159,175,284,
668,793,907,660,510,299,900,306,885,599,398,380,932,006,803,323,184,463,758,
309,992,115,214,951,168,253,442,680,426,650,769,159,130,482,671,083,890,085,
220,692,014,402,928,568,000,119,792,685,809,503,291,900,997,621,002,374,240,
336,471,191,472,610,749,213,446,275,186,552,436,440,922,547,243,445,586,155,
208,667,633,972,277,910,168,707,268,796,174,613,887,110,173,605,255,986,864,
161,619,269,394,441,347,457,743,322,117,948,275,103,448,823,843,568,947,363,
458,504,119,285,749,253,256,020,715,587,515,358,349,325,248,241,543,584,047,
130,456,508,943,280,012,985,848,400,348,990,325,451,234,717,483,323,290,179,
782,430,881,295,005,354,837,694,845,696,653,614,305,994,768,044,545,814,117,
280,146,293,802,492,682,274,836,783,810,709,014,207,616,036,073,740,463,535,
240,837,909,928,973,917,897,251,344,623,752,474,661,737,306,730,609,557,929,
262,433,948,508,131,567,269,113,712,879,052,453,225,965,906,355,289,646,170,
954,834,788,933,566,736,089,513,955,824,707,724,818,228,136,008,951,296,298,
409,292,982,061,767,643,978,764,432,074,855,906,467,400,717,878,235,181,379,
065,158,310,923,445,751,345,402,277,230,444,048,720,502,619,512,819,431,043,
077,202,220,327,728,917,774,998,401,157,128,951,596,807,006,548,040,737,501,
574,093,038,325,658,268,535,166,185,922,258,555,419,228,898,476,366,213,902,
894,845,950,873,509,246,285,737,518,498,974,847,729,118,910,294,043,810,057,
512,218,354,825,722,321,464,741,149,085,508,084,263,913,143,588,378,967,396,
506,415,899,514,869,030,011,857,557,285,655,394,097,235,051,310,844,649,910,
534,422,461,691,329,495,843,636,956,992,875,196,612,178,734,347,470,571,814,
785,949,319,808,343,488,379,637,531,665,684,102,845,141,562,475,182,931,348,
687,830,029,998,954,968,164,721,559,739,905,624,689,812,200,693,368,043,993,
330,683,079,564,332,334,429,934,352,640,757,545,311,500,260,629,421,714,964,
009,391,054,205,929,351,714,776,936,696,962,675,110,912,969,691,298,200,060,
782,762,815,211,816,940,427,763,588,968,507,261,997,765,143,481,070,572,858,
843,792,307,236,603,958,998,774,737,166,752,982,205,597,944,991,655,841,884,
427,518,249,528,186,950,601,685,282,462,957,642,338,787,192,202,319,755,017,
981,599,980,877,801,534,218,822,708,361,016,688,768,850,097,701,406,080,531,
306,298,982,875,346,035,468,304,617,721,143,269,625,155,721,559,442,347,618,
903,031,667,923,698,070,223,572,568,783,743,965,803,078,427,053,689,580,024,
428,371,926,240,990,588,120,227,495,935,877,509,905,036,963,747,615,110,107,
006,988,253,789,067,519,835,484,155,667,698,090,673,442,541,658,461,485,013,
896,440,912,025,537,123,030,723,672,606,556,817,570,772,378,854,816,908,219,
888,518,201,096,708,981,739,055,856,410,747,611,706,360,448,829,609,054,375,
656,522,494,764,070,239,488,452,249,757,164,823,820,151,155,478,525,036,155,
688,061,059,384,819,743,634,199,142,405,504,553,091,641,558,085,373,918,411,
101,404,813,603,465,471,719,262,457,984,974,631,999,357,470,059,837,270,131,
804,583,235,883,234,328,239,744,963,819,476,079,970,720,273,842,748,308,435,
106,775,873,831,743,702,168,843,211,191,743,660,522,071,464,992,098,132,510,
808,325,727,848,716,548,259,333,177,091,298,951,437,176,018,144,653,884,333,
282,264,366,669,268,548,083,988,051,727,350,357,986,054,998,869,245,813,062,
071,384,021,198,165,069,795,676,928,992,377,240,207,688,607,914,301,540,166,
570,182,921,958,611,419,162,440,353,449,277,488,076,528,429,802,329,319,612,
126,300,426,786,379,629,368,981,959,012,591,265,709,449,696,389,385,055,371,
844,869,493,718,147,478,639,426,246,932,882,721,582,408,812,292,043,434,467,
280,376,988,065,022,611,472,472,759,158,663,688,888,112,642,994,945,488,539,
482,654,551,816,861,755,135,677,967,036,888,320,511,501,517,387,957,437,784,
526,335,055,060,052,121,306,474,986,490,834,568,761,624,855,594,632,719,568,
204,131,214,006,479,545,341,299,647,950,791,908,062,860,818,527,574,878,507,
685,867,028,927,910,228,114,125,954,372,216,516,738,643,216,068,999,615,783,
258,936,799,322,913,078,457,451,734,613,889,856,707,531,550,602,758,619,692,
100,186,526,645,086,511,744,007,088,170,482,537,774,522,411,869,159,020,587,
623,075,547,599,090,619,656,604,475,576,507,929,600,058,740,359,119,880,187,
895,734,476,834,053,537,829,169,025,063,960,482,889,642,701,384,981,887,743,
054,708,336,393,914,023,358,766,458,666,465,847,552,599,863,176,632,230,612,
205,398,270,132,872,662,092,249,348,017,939,011,902,595,323,953,839,917,033,
341,729,953,529,624,272,716,076,014,764,981,368,611,072,448,657,169,158,120,
072,125,981,706,815,170,861,455,904,754,485,886,634,189,753,148,050,046,582,
215,468,960,802,319,557,076,672,876,912,128,174,856,915,503,175,774,802,415,
300,634,594,504,816,398,923,240,742,325,040,641,120,959,530,670,401,792,435,
374,031,727,021,231,324,803,142,825,440,112,734,432,313,808,532,741,937,784,
782,164,622,295,500,252,314,091,843,180,176,304,914,454,316,029,552,893,673,
557,488,718,088,881,636,478,740,901,428,758,427,764,816,421,176,394,531,247,
218,493,088,537,441,259,206,766,696,588,092,189,444,277,810,096,130,040,074,
349,718,554,874,737,279,998,454,887,140,384,506,376,708,178,972,639,098,629,
126,802,052,907,431,489,187,281,355,220,503,563,216,410,602,270,904,610,739,
335,420,900,273,236,289,543,272,102,289,565,298,175,740,341,033,517,948,509,
900,817,374,430,591,895,826,131,964,104,695,913,533,362,058,929,794,698,516,
800,438,893,689,141,373,078,365,062,262,637,512,665,992,097,222,159,589,885,
321,115,538,238,271,863,598,568,351,115,157,621,453,949,968,828,112,132,755,
404,703,815,964,403,695,378,995,591,817,412,241,481,886,309,365,846,201,487,
866,199,984,725,754,585,895,668,337,024,553,080,296,226,657,691,579,468,910,
845,527,285,472,568,850,674,613,735,192,949,588,755,035,622,175,461,158,354,
531,288,859,466,406,724,715,555,673,767,980,705,082,750,221,182,145,976,084,
500,248,423,623,565,149,918,027,278,758,157,567,173,316,579,598,764,475,582,
908,267,580,753,144,653,226,115,359,934,519,279,934,502,256,176,203,786,260,
110,850,066,971,481,704,494,858,936,531,307,555,611,919,978,130,639,422,613,
095,901,461,546,672,067,738,862,667,796,787,180,558,631,318,024,133,382,846,
455,124,350,001,402,162,422,035,506,740,310,217,788,111,095,760,907,075,123,
830,484,347,132,309,745,665,561,390,501,603,918,691,000,882,768,900,382,500,
147,673,978,414,241,795,409,045,519,568,850,960,382,278,804,577,867,171,324,
428,219,703,971,215,666,332,382,717,954,599,395,843,935,038,176,914,060,667,
911,183,503,458,266,036,282,397,201,697,469,287,234,965,231,949,270,680,615,
740,457,649,447,034,912,414,527,388,427,523,330,776,480,781,072,409,213,371,
241,644,206,625,577,772,328,562,892,004,126,702,665,131,472,247,608,707,473,
830,987,737,382,542,518,447,910,306,460,357,001,904,378,599,045,424,223,176,
539,909,105,396,053,975,527,678,567,496,713,349,926,969,043,188,788,523,155,
922,477,135,284,083,053,655,838,889,506,343,249,042,458,209,875,175,775,562,
889,562,237,996,457,483,999,710,946,502,546,500,103,503,792,598,916,797,661,
751,795,679,057,620,181,775,596,632,718,920,671,586,327,416,069,944,462,498,
395,907,902,804,719,931,345,033,809,472,531,755,780,515,093,846,676,980,391,
388,311,648,916,979,586,886,323,007,354,588,305,857,854,993,081,976,758,731,
941,896,205,876,491,333,295,667,940,712,164,630,444,764,649,860,162,087,680,
214,269,498,752,306,789,806,027,500,591,997,500,887,710,896,510,303,348,882,
759,570,551,545,007,215,174,967,092,191,403,018,349,710,724,510,937,345,312,
348,420,069,110,007,203,919,640,062,557,373,644,587,200,512,666,365,139,036,
203,829,445,591,138,568,986,696,577,629,389,929,231,604,872,939,585,725,467,
213,120,809,211,658,862,023,563,745,018,584,984,533,334,169,398,182,503,529,
185,390,573,377,886,776,786,168,676,985,584,342,520,988,247,377,631,239,890,
060,467,223,994,811,261,771,712,910,040,532,282,430,021,190,209,340,936,794,
194,780,658,039,561,300,296,987,623,721,496,287,014,933,866,063,400,653,942,
854,808,270,747,214,957,282,204,904,657,299,388,485,747,184,040,480,314,448,
677,771,675,313,730,485,206,811,923,458,831,805,650,706,146,763,150,802,172,
779,657,775,648,480,665,149,792,245,279,404,359,756,146,562,665,717,496,415,
784,102,165,882,817,387,031,258,671,244,836,004,080,032,993,879,837,737,790,
859,129,176,675,177,726,482,455,943,880,925,595,976,563,799,886,611,356,028,
896,839,148,897,373,422,776,894,326,571,015,433,968,100,647,304,119,474,701,
911,362,881,349,487,491,553,160,715,960,667,877,747,621,873,584,430,038,611,
000,695,374,649,975,560,519,621,074,903,403,335,364,245,562,238,333,450,131,
675,366,710,042,116,532,814,930,710,105,556,843,705,584,980,757,219,002,756,
482,284,438,441,600,383,401,175,703,191,249,658,896,040,065,635,341,155,825,
514,392,557,840,656,338,840,361,544,055,342,057,425,137,648,260,671,577,840,
876,585,764,683,615,057,241,194,036,743,719,241,179,426,390,580,471,085,513,
179,492,010,614,193,024,102,185,370,495,096,334,342,571,490,236,772,867,883,
767,251,655,991,240,789,746,954,434,017,140,773,590,565,945,087,077,538,098,
675,640,394,067,791,243,470,753,081,276,662,393,960,744,178,783,919,230,786,
536,102,426,805,326,739,034,295,577,505,099,806,132,595,562,937,293,487,680,
241,439,897,447,039,879,769,342,807,547,563,116,426,803,142,194,187,388,880,
796,181,185,727,455,285,381,372,845,221,103,842,685,510,786,481,073,408,982,
887,935,668,392,090,049,161,597,722,585,703,158,389,311,729,079,587,860,982,
396,829,496,020,601,252,042,722,367,920,957,273,780,090,354,302,212,618,204,
216,106,952,729,193,478,082,466,100,065,721,290,074,316,470,944,138,569,193,
508,549,179,544,207,437,875,604,596,118,362,477,238,565,235,883,595,493,686,
902,261,465,378,707,495,218,553,156,762,633,541,851,024,597,658,598,122,855,
880,639,400,510,798,129,156,255,490,017,955,513,917,909,779,438,743,213,782,
265,878,818,400,937,976,074,073,486,828,292,268,792,983,317,958,436,515,077,
271,648,834,541,556,057,203,782,921,570,864,061,833,948,242,042,128,077,537,
903,040,720,607,474,167,670,383,014,395,354,013,446,420,414,844,124,804,682,
971,761,686,982,765,282,410,780,769,547,301,392,091,056,901,814,133,859,348,
718,140,740,054,228,947,579,785,723,943,636,856,999,333,814,856,468,307,465,
851,106,002,566,066,871,585,591,538,058,415,992,664,553,401,163,806,355,619,
618,531,758,740,535,412,923,347,817,257,609,901,708,894,378,289,265,706,677,
122,577,616,357,475,384,018,015,706,604,933,021,402,394,870,588,995,345,719,
512,757,217,200,652,842,425,687,730,243,473,899,704,637,937,753,526,531,002,
211,703,328,581,898,599,283,250,860,646,680,081,026,744,059,940,606,121,795,
194,105,891,574,668,462,714,853,906,504,784,768,865,943,348,844,326,596,724,
062,107,584,552,616,231,011,555,885,375,477,261,295,087,214,669,375,168,737,
694,251,642,639,304,800,803,305,595,530,425,084,611,170,522,758,990,731,036,
310,610,722,241,078,632,589,503,207,333,847,525,702,947,434,092,938,217,465,
537,737,562,689,775,848,740,433,327,905,464,612,608,673,299,485,421,184,030,
425,845,367,233,020,450,357,394,069,286,246,062,614,045,805,682,018,532,790,
179,160,712,501,039,354,764,404,875,334,385,103,508,109,266,142,797,762,842,
900,121,398,863,171,426,933,773,678,683,141,323,554,714,416,094,107,268,059,
317,775,138,462,382,862,083,961,097,371,003,103,856,437,853,672,882,677,864,
925,262,575,073,917,918,725,389,960,229,699,943,235,650,130,305,134,578,721,
298,046,753,287,667,565,802,783,683,419,224,751,693,673,223,363,837,699,450,
811,276,791,203,943,292,560,418,012,163,085,683,599,808,064,597,874,701,235,
651,492,884,190,982,325,116,314,068,971,319,590,459,813,816,945,839,710,726,
272,229,681,944,573,610,454,821,166,382,441,348,356,810,276,536,164,963,638,
528,205,960,759,931,299,521,792,822,438,058,681,735,657,329,970,261,235,278,
554,727,138,351,265,875,910,630,251,094,577,356,037,729,008,502,127,951,015,
678,300,099,354,585,440,427,858,485,962,695,304,755,689,087,741,674,390,915,
792,806,076,188,804,836,775,361,555,460,880,157,142,243,251,515,190,071,727,
963,403,057,365,217,176,789,831,676,967,295,322,519,224,885,126,079,420,176,
083,456,742,860,999,459,034,671,611,294,614,102,508,348,348,349,430,087,211,
902,173,767,964,851,205,363,723,583,058,773,912,515,110,231,624,706,771,273,
214,674,379,269,552,394,788,986,682,918,084,735,309,960,455,361,277,120,041,
166,663,924,684,916,922,403,494,547,517,219,018,949,230,625,876,397,969,234,
800,770,538,021,280,577,345,731,277,687,477,020,715,038,620,960,923,838,100,
883,537,796,001,333,991,836,133,909,128,058,430,668,619,649,285,652,044,193,
813,829,940,723,745,518,887,597,370,211,519,850,068,446,694,695,123,610,043,
968,017,624,631,733,451,304,535,619,280,636,882,994,077,950,108,422,435,322,
107,265,468,722,128,339,009,916,156,290,402,291,998,764,138,048,974,638,965,
803,193,707,385,462,265,625,712,658,747,766,761,519,593,815,605,098,298,039,
086,052,787,035,023,729,881,280,748,439,979,060,949,979,532,589,523,978,061,
991,410,269,979,841,118,223,910,371,568,956,148,757,091,319,493,453,915,123,
016,827,084,151,300,838,912,644,453,079,442,477,850,201,859,476,865,113,849,
236,165,935,022,411,480,792,329,121,140,195,666,823,339,770,945,468,533,752,
080,274,158,697,840,862,321,340,658,032,490,866,969,775,609,247,983,232,578,
981,070,777,717,361,646,715,907,745,041,709,762,936,152,359,072,099,263,067,
385,834,529,150,295,519,835,557,794,410,724,777,060,550,381,256,218,668,906,
791,693,830,539,845,630,377,530,442,002,244,443,003,947,817,896,364,103,188,
615,166,596,208,282,368,357,254,569,273,680,875,365,643,218,436,292,567,201,
722,804,628,977,170,856,841,761,892,706,612,699,630,107,965,460,757,547,379,
257,391,557,083,328,540,064,046,549,786,982,779,198,086,427,480,265,312,162,
215,507,938,188,463,528,812,113,350,360,838,562,178,343,557,994,983,055,880,
684,515,653,856,100,788,448,070,712,873,210,599,262,726,612,341,227,789,289,
764,255,378,395,369,443,304,005,911,536,412,330,969,090,992,199,684,767,752,
935,820,467,432,134,830,171,036,636,640,301,574,180,073,750,787,541,382,479,
629,784,697,237,265,399,917,160,584,629,132,968,386,578,845,150,683,375,587,
811,227,306,650,932,013,059,719,152,491,809,230,643,808,197,534,203,775,918,
585,298,168,536,630,961,745,076,266,035,774,316,770,077,746,317,070,819,037,
860,060,715,762,590,089,760,946,291,556,080,539,529,661,931,977,015,653,041,
770,470,831,711,489,077,277,542,741,391,847,106,982,784,309,322,332,233,049,
612,580,343,126,964,799,299,073,740,007,061,480,133,451,583,394,617,937,355,
997,262,275,809,380,247,143,546,587,489,846,638,074,468,540,173,409,576,346,
278,906,378,837,279,988,493,027,670,943,116,648,993,323,099,530,452,775,836,
579,154,441,352,205,161,479,079,989,614,837,653,006,503,421,442,477,364,394,
823,204,804,482,645,104,248,263,372,265,114,125,464,127,321,497,398,553,935,
776,540,752,855,631,524,175,499,951,539,271,163,669,536,556,147,472,782,443,
572,956,583,513,432,707,836,619,013,105,157,856,709,074,263,386,867,342,975,
792,556,818,371,994,945,513,842,499,629,811,210,946,658,129,353,654,516,412,
124,838,536,242,431,967,541,929,698,905,080,537,360,328,456,011,068,805,176,
850,947,693,742,995,406,015,634,595,554,533,152,729,575,410,981,707,065,492,
970,506,356,050,558,314,816,548,732,974,070,435,255,847,768,615,770,020,488,
397,912,802,841,142,869,545,002,717,162,454,951,248,707,950,675,794,828,681,
087,996,349,572,083,231,198,366,083,024,006,776,173,187,450,228,869,877,944,
905,063,607,594,113,759,831,165,131,049,810,147,759,378,012,528,612,246,789,
106,089,327,277,736,430,704,213,480,781,639,310,145,101,054,933,072,540,408,
166,351,926,334,180,339,959,275,951,982,719,131,493,764,629,606,744,976,151,
528,274,283,320,759,625,561,207,419,373,956,001,567,359,837,680,423,182,415,
383,074,826,460,159,883,237,257,770,646,297,186,352,988,481,083,618,086,537,
499,247,835,898,311,967,373,655,266,100,741,205,908,411,390,869,538,441,679,
562,404,559,849,673,713,743,558,093,638,629,501,084,456,896,012,536,975,667,
574,870,661,044,474,398,791,692,068,829,250,864,109,647,619,990,618,508,857,
158,322,372,629,066,398,487,133,893,833,086,250,519,262,953,537,095,949,074,
176,355,065,787,265,075,283,203,389,152,030,856,376,225,039,605,576,596,764,
153,022,033,668,718,300,938,933,676,536,201,560,608,103,918,691,898,926,140,
798,333,973,735,534,001,258,020,735,616,709,390,781,923,971,750,653,799,847,
838,387,388,008,967,356,859,873,621,486,414,316,916,603,664,524,357,309,545,
887,168,725,413,493,475,258,873,831,825,514,089,153,602,973,786,721,727,448,
279,407,000,369,282,806,241,531,872,130,686,761,511,365,086,305,161,700,194,
496,692,165,813,231,348,891,962,114,339,688,456,827,429,399,012,940,354,620,
010,938,063,319,156,607,225,656,857,728,252,596,351,695,017,642,745,797,635,
185,848,259,274,551,271,273,724,439,875,048,467,277,279,305,946,479,221,934,
216,651,294,520,287,445,602,529,131,290,728,837,663,550,180,361,964,005,385,
203,242,307,349,962,483,800,749,361,836,753,397,555,241,805,428,467,957,383,
873,259,035,027,778,767,587,764,749,905,913,377,400,318,002,803,681,585,608,
630,288,301,115,719,546,851,456,367,233,495,642,198,662,692,428,835,697,653,
237,632,553,791,916,038,779,338,116,590,164,828,989,570,279,396,280,156,475,
585,326,221,520,663,264,390,417,675,675,466,593,616,646,707,106,808,566,562,
199,813,198,029,891,291,919,909,554,815,605,315,393,233,006,949,627,427,339,
705,458,402,876,127,125,300,598,031,355,760,169,950,010,881,270,155,274,899,
761,954,649,839,811,451,048,187,612,173,884,135,823,120,068,423,335,348,387,
844,677,765,823,477,465,800,435,167,678,713,968,702,326,707,337,116,065,759,
584,611,106,668,172,736,315,565,533,638,184,978,714,511,894,542,978,110,605,
604,315,866,188,068,898,936,067,831,236,843,077,962,558,576,321,971,612,028,
204,615,998,047,187,486,332,658,769,045,454,588,816,257,317,700,096,370,185,
285,295,404,082,451,617,411,839,694,819,935,364,879,766,983,483,079,550,334,
112,574,693,566,920,731,904,420,152,085,908,402,341,287,289,781,752,158,098,
494,474,441,387,010,835,411,855,554,946,462,236,707,057,543,320,334,310,028,
211,975,726,812,406,858,741,902,412,946,936,876,445,829,718,885,512,527,565,
785,886,894,835,915,867,315,871,001,853,300,930,898,505,279,070,640,270,270,
382,125,547,623,184,249,951,971,613,094,310,493,302,305,076,726,219,052,123,
784,408,405,191,686,919,888,049,871,958,073,815,818,563,622,219,396,233,599,
427,917,802,111,854,084,126,239,817,968,762,883,771,458,274,498,580,714,486,
058,261,472,586,087,910,182,797,101,228,962,527,520,406,242,639,020,505,578,
925,526,823,024,470,657,576,661,923,369,356,856,910,854,025,755,649,655,716,
796,174,794,349,199,349,720,900,216,281,551,502,809,697,729,165,771,876,199,
002,484,298,527,244,679,056,854,957,535,088,292,333,334,038,818,358,938,480,
698,444,206,385,000,390,237,396,016,927,975,992,942,539,796,601,262,202,624,
399,471,436,490,563,130,235,881,617,720,278,032,652,586,219,973,318,219,064,
006,450,668,818,007,612,388,403,525,374,354,493,805,583,084,341,873,245,865,
570,073,550,101,252,741,244,301,869,649,277,267,408,501,389,285,703,736,039,
684,146,666,340,194,150,277,709,895,173,894,471,976,609,210,217,554,111,724,
928,348,545,119,371,039,778,371,846,807,013,536,177,245,035,607,592,335,290,
253,894,142,278,378,457,887,312,558,390,876,562,765,609,772,636,622,887,606,
062,125,827,113,227,596,579,834,216,588,209,564,182,282,606,046,281,979,793,
814,330,918,336,112,551,829,162,305,506,272,163,073,822,619,262,461,055,795,
926,659,299,390,097,139,296,857,938,219,701,852,191,419,755,736,747,357,773,
652,145,517,843,721,859,958,064,694,094,961,779,745,904,251,720,268,811,596,
737,665,674,221,143,255,614,628,487,759,037,444,527,367,357,774,700,152,454,
485,465,256,737,018,863,503,604,705,079,482,921,212,312,207,308,780,012,722,
886,760,847,697,788,910,409,811,675,550,768,920,353,801,104,992,612,406,056,
741,600,325,622,026,557,139,776,489,440,549,352,431,801,761,351,212,487,686,
885,421,809,783,578,411,644,627,588,149,112,166,807,486,618,180,720,457,147,
801,085,085,878,921,880,893,443,477,272,924,526,120,166,880,579,374,085,468,
500,278,707,076,679,451,665,114,320,468,222,121,578,379,991,268,035,004,227,
687,794,524,346,409,184,796,341,370,945,812,196,113,840,969,322,260,964,837,
036,180,073,505,724,436,882,793,147,300,143,324,687,938,958,333,019,867,436,
664,300,476,716,041,334,904,236,567,404,720,715,003,373,103,897,755,799,935,
827,808,735,910,591,877,476,699,303,596,959,490,217,395,248,040,723,787,212,
996,419,424,554,426,379,060,279,602,280,534,432,320,078,356,837,747,644,330,
761,284,640,290,419,059,253,891,763,696,859,215,270,448,382,276,107,664,335,
911,547,042,572,760,126,180,279,969,413,064,763,627,725,211,917,505,187,915,
223,869,521,215,077,817,537,699,422,041,554,765,475,855,393,385,361,125,002,
542,077,186,859,368,218,896,428,709,626,232,995,049,037,361,557,774,617,769,
874,862,950,423,158,283,034,964,440,877,814,791,750,545,167,563,784,191,187,
098,026,699,246,253,979,837,340,304,120,184,770,785,677,271,096,936,568,310,
236,233,911,709,600,055,850,186,115,928,835,111,009,673,031,295,394,790,149,
987,802,562,510,596,727,365,992,053,795,479,219,681,174,000,864,535,180,260,
833,944,551,611,242,929,733,556,776,722,890,980,030,824,108,968,331,646,356,
563,148,573,377,012,911,241,734,078,925,167,023,067,984,280,748,852,383,020,
218,921,508,412,732,540,962,272,024,842,829,249,482,641,125,206,317,009,003,
771,840,042,126,762,098,296,769,043,459,614,391,020,077,832,046,765,417,453,
367,803,140,116,149,332,797,283,467,712,943,169,389,740,135,001,564,619,054,
626,681,610,496,348,940,444,467,521,562,133,601,157,067,161,498,079,763,249,
618,364,326,295,917,216,776,454,246,026,478,723,037,794,563,602,010,358,700,
397,145,862,081,061,158,921,286,825,268,202,494,636,643,506,653,225,533,171,
075,589,455,430,830,594,557,749,548,074,485,194,454,868,109,071,901,803,812,
578,499,406,104,946,102,581,714,232,299,436,662,960,598,709,449,990,821,899,
865,587,867,770,486,791,517,620,499,640,006,466,411,867,086,750,053,998,981,
028,173,308,566,780,030,240,180,105,565,862,749,059,779,633,942,362,834,412,
412,248,911,603,535,651,727,826,372,569,747,112,624,674,951,681,988,484,281,
383,919,599,808,521,968,241,583,289,714,124,587,187,357,613,145,584,356,804,
060,469,037,379,944,333,714,290,693,165,273,489,185,598,220,281,687,203,949,
225,411,466,984,304,620,880,531,010,325,002,333,302,469,317,084,577,800,471,
755,740,138,015,244,573,214,901,628,882,848,015,750,884,228,017,017,342,852,
260,285,448,437,148,061,631,618,739,603,126,442,736,790,192,115,300,416,632,
954,125,711,859,877,562,237,863,900,016,915,267,283,954,917,697,671,880,260,
010,113,549,210,518,739,194,676,976,275,859,058,324,647,050,044,590,837,499,
329,545,922,407,000,381,025,043,792,173,521,250,036,531,325,962,358,726,984,
508,512,173,413,921,203,971,245,130,446,579,947,266,840,246,358,790,195,762,
353,070,396,598,746,494,134,514,349,649,204,477,513,244,828,565,116,099,902,
873,336,439,752,896,318,217,475,877,743,589,826,750,166,853,247,487,199,981,
414,816,268,779,086,938,563,090,609,059,609,278,642,008,833,829,407,687,458,
622,157,686,226,589,403,503,542,105,572,856,099,051,612,020,317,737,408,822,
067,670,801,613,138,566,779,621,064,843,914,553,987,143,764,336,089,762,733,
806,514,901,629,059,911,666,576,606,078,062,574,068,885,919,764,683,620,899,
533,294,354,981,332,542,711,136,204,808,540,272,026,144,044,740,969,768,615,
024,441,045,327,995,647,363,099,241,604,081,309,886,846,926,732,989,333,762,
067,514,087,939,531,998,389,994,642,154,199,702,383,692,477,491,650,158,365,
013,353,679,271,829,196,376,530,076,070,869,642,993,800,033,865,113,262,490,
431,843,212,116,025,272,688,557,835,634,159,741,261,129,174,363,761,168,989,
922,847,015,722,763,341,331,901,628,430,258,779,534,753,923,857,196,908,691,
000,721,059,854,726,475,450,247,416,045,797,347,475,368,609,310,012,951,349,
488,480,481,421,498,382,543,321,367,144,698,764,977,601,865,248,044,604,478,
177,019,837,746,744,907,855,839,895,270,528,694,620,478,898,869,907,637,568,
044,904,084,332,584,573,638,798,362,020,280,344,901,272,521,554,277,050,575,
937,997,850,281,150,994,809,399,249,668,771,839,877,595,319,431,525,893,919,
785,347,420,371,934,874,714,466,800,282,417,297,337,077,365,036,754,074,152,
952,776,712,866,915,875,857,974,660,118,435,191,579,430,533,231,000,832,596,
131,660,987,898,634,198,022,243,930,510,059,227,815,209,275,125,593,125,619,
894,332,410,872,802,964,088,103,776,280,716,473,484,059,790,224,178,308,747,
715,798,907,379,244,690,610,256,567,841,000,098,248,287,198,227,699,559,481,
004,397,248,644,220,533,646,659,983,865,818,236,783,363,526,400,980,565,872,
095,635,908,962,421,258,900,790,457,889,472,755,680,862,405,178,027,679,685,
685,280,428,694,819,171,891,040,821,549,568,556,891,659,689,600,240,090,122,
373,898,789,117,229,922,370,916,779,410,873,127,542,464,033,785,970,693,084,
124,991,155,645,177,758,950,267,544,739,494,722,264,300,366,432,651,465,678,
059,741,971,939,873,910,628,937,806,925,023,033,434,523,471,240,776,463,414,
486,266,933,319,148,663,252,933,391,770,200,079,039,833,255,798,597,544,302,
491,767,004,847,847,655,098,330,770,013,594,029,523,930,978,250,623,642,280,
708,256,168,007,259,773,004,144,784,665,092,801,574,623,896,310,299,053,877,
013,603,218,220,648,216,793,967,841,469,382,336,082,499,400,615,419,303,302,
384,576,284,349,301,935,156,617,905,817,062,296,411,594,718,096,663,557,470,
810,144,632,872,422,287,578,897,576,973,465,546,942,233,935,577,406,404,090,
688,949,208,306,664,561,810,335,176,424,581,826,938,217,514,665,971,184,966,
778,252,467,201,870,362,095,480,582,578,535,636,145,567,227,315,998,099,408,
363,082,617,798,778,107,755,484,021,956,070,262,748,540,180,587,344,627,479,
430,323,164,496,696,531,654,049,744,645,066,657,629,109,620,358,141,269,775,
279,591,659,206,897,033,597,944,781,007,505,904,732,612,371,933,134,848,792,
283,703,525,838,850,971,035,074,914,094,589,170,992,063,925,883,978,787,842,
737,350,645,629,460,121,285,111,410,759,090,783,472,943,388,443,759,925,973,
500,929,221,240,306,132,216,169,331,479,747,041,616,388,671,201,874,497,261,
745,707,763,886,157,424,776,312,815,246,478,930,157,263,051,843,992,615,360,
265,302,377,745,079,931,903,537,028,753,054,848,847,998,927,310,069,873,580,
190,111,206,762,804,001,131,165,881,521,517,153,616,795,932,980,281,940,212,
707,002,230,401,032,882,567,503,165,580,818,733,112,463,940,816,873,606,671,
873,907,725,708,983,938,264,299,087,363,385,267,741,021,379,730,578,984,261,
188,722,760,567,562,557,978,111,677,784,207,901,494,478,349,107,838,548,147,
197,072,817,930,040,233,224,010,466,287,495,920,798,208,475,668,091,427,817,
395,553,179,493,749,160,868,599,128,894,228,318,760,477,547,662,872,501,050,
909,385,050,950,847,091,548,445,209,171,770,663,248,402,316,374,506,949,338,
509,753,986,695,754,611,302,379,316,963,152,129,774,001,795,350,338,502,743,
834,715,365,655,053,309,883,286,998,746,373,825,827,648,132,371,891,739,849,
502,856,301,783,795,655,187,152,138,948,068,705,670,387,474,571,980,673,619,
337,624,512,193,389,187,942,060,992,115,889,454,807,660,169,000,409,032,247,
132,308,524,513,857,451,740,178,086,210,952,118,366,985,410,710,709,642,275,
993,032,864,393,351,049,559,511,685,603,234,377,738,250,802,381,997,249,298,
946,257,210,538,659,783,263,810,189,242,965,044,707,201,614,486,752,030,163,
040,394,186,779,269,488,035,903,598,627,221,315,837,854,615,774,059,480,002,
917,983,217,571,291,762,391,570,247,673,736,272,798,338,068,481,180,576,906,
076,933,166,039,957,627,543,319,013,776,405,786,645,535,453,973,250,891,717,
015,024,669,176,456,671,398,282,321,013,032,664,753,766,790,809,769,021,925,
403,696,313,585,151,656,308,497,851,428,907,090,558,972,780,252,346,589,249,
109,373,474,545,599,180,186,411,293,906,807,092,803,832,601,604,602,500,185,
623,469,438,665,258,148,632,406,762,019,912,366,900,278,732,493,580,882,844,
652,534,284,487,698,008,344,396,356,743,515,187,266,446,992,080,383,496,066,
486,094,868,366,621,394,252,120,000,008,455,834,938,024,601,509,639,074,501,
189,997,896,648,107,499,095,229,645,051,704,347,435,767,492,939,808,650,032,
262,106,073,791,233,693,013,933,928,904,335,136,727,168,723,014,323,417,482,
131,334,181,765,598,021,902,148,024,645,161,427,472,233,051,546,318,884,351,
930,886,576,484,767,766,582,914,785,408,262,237,035,306,245,269,753,802,351,
863,439,140,922,899,582,890,614,652,878,475,579,634,319,025,576,455,530,207,
905,509,379,488,201,736,644,419,091,801,683,378,864,356,694,657,968,549,145,
466,046,055,071,140,910,284,666,120,547,318,786,771,809,785,893,984,531,500,
198,438,129,574,719,934,551,952,785,981,382,668,282,970,317,512,729,952,553,
243,715,984,658,621,225,762,719,463,886,036,956,465,099,464,813,603,121,751,
432,264,588,374,561,610,265,160,320,541,471,186,896,194,382,745,531,288,004,
088,085,385,752,191,464,916,896,439,120,677,945,788,895,539,692,526,084,334,
565,557,173,554,930,219,957,190,123,077,658,294,515,299,828,370,401,097,776,
953,968,665,739,910,731,356,430,067,234,774,332,877,405,799,156,417,825,352,
837,626,059,368,344,017,404,533,058,919,492,732,058,904,980,542,289,317,908,
700,498,892,174,230,580,858,748,029,823,580,745,534,578,090,112,374,981,068,
909,742,547,960,801,028,626,618,587,723,175,341,701,263,663,673,389,069,018,
345,556,965,606,535,281,031,848,586,600,316,332,323,248,525,769,411,531,750,
563,586,425,340,711,273,731,404,190,069,873,148,123,964,222,499,231,327,624,
091,545,549,011,855,388,039,196,068,868,370,796,092,296,188,233,100,742,535,
782,659,160,088,553,732,153,625,090,096,898,207,662,566,063,843,635,644,101,
711,472,897,224,290,116,100,844,157,544,460,905,484,282,009,283,366,136,850,
254,100,818,475,089,511,326,391,009,615,249,616,016,467,578,082,875,431,254,
515,800,871,169,628,918,062,271,436,412,945,173,103,642,123,933,895,549,951,
530,437,314,278,354,455,946,698,929,034,025,356,489,285,705,609,951,582,168,
617,515,609,157,142,958,089,026,289,009,040,885,767,914,231,838,066,205,475,
366,637,472,135,122,499,462,887,322,339,976,995,004,622,845,733,107,004,304,
745,105,688,805,980,641,458,175,591,525,372,444,902,063,695,117,294,984,730,
189,563,585,724,730,629,634,808,947,126,858,193,144,238,111,898,987,533,922,
918,508,643,767,368,143,680,666,777,908,317,288,772,944,806,933,150,717,716,
312,305,652,734,922,856,889,012,254,520,877,085,776,308,643,927,910,304,701,
198,129,868,593,377,170,871,543,976,708,387,338,400,208,690,579,799,665,083,
142,591,178,764,038,310,958,719,254,608,877,676,453,846,868,904,631,084,045,
577,013,139,575,622,151,132,445,897,907,683,542,260,632,777,652,661,583,764,
956,207,536,255,060,165,841,263,946,779,927,831,018,823,626,485,290,628,348,
639,570,305,845,014,629,198,756,928,299,972,100,825,700,727,215,544,649,426,
239,280,494,407,682,735,911,660,101,022,204,223,859,389,019,540,001,771,269,
460,758,357,456,691,999,580,831,717,237,197,936,015,514,714,142,639,755,010,
234,668,745,505,382,967,938,127,509,599,329,037,182,369,350,361,761,615,841,
780,404,725,989,866,370,400,463,243,620,376,605,179,289,666,682,111,759,504,
876,506,768,815,397,805,626,940,123,238,969,847,505,235,512,184,931,897,427,
550,865,588,236,598,342,725,029,316,674,311,139,851,329,406,097,334,642,483,
484,636,013,714,918,110,316,125,411,068,702,800,784,633,376,838,055,031,034,
164,035,082,588,521,018,904,724,882,299,877,343,494,354,280,202,349,475,502,
292,854,237,064,667,038,699,475,725,293,227,762,283,470,447,099,868,071,737,
296,526,919,350,313,141,650,773,594,603,818,469,469,064,480,550,664,330,593,
348,508,059,626,254,028,920,460,808,845,480,380,119,522,146,829,823,783,453,
908,519,997,046,371,164,931,481,906,140,605,407,069,393,614,179,905,592,747,
522,433,033,642,791,140,896,647,929,300,597,453,829,572,965,978,981,416,682,
413,298,149,257,104,026,533,169,018,293,976,679,442,589,539,796,272,020,240,
491,875,828,636,111,317,462,640,213,084,577,134,828,273,090,704,285,829,953,
685,813,625,144,856,096,607,136,218,863,819,891,368,433,718,984,678,443,474,
035,658,926,321,758,735,819,622,935,664,202,520,893,684,189,255,754,964,355,
998,770,481,171,714,229,212,412,341,870,853,805,398,525,064,389,020,813,918,
195,423,053,678,007,109,310,224,773,722,447,106,547,504,558,695,220,564,049,
641,190,893,459,559,732,849,278,872,684,118,859,407,121,517,680,848,513,899,
525,848,398,775,652,983,664,114,608,979,964,667,796,281,281,919,861,054,196,
905,250,571,272,352,337,932,515,058,056,196,507,939,227,796,651,985,009,247,
491,261,700,521,993,843,480,831,397,694,218,973,427,607,923,876,759,752,144,
696,989,581,727,220,982,733,225,963,961,502,991,821,677,734,086,495,134,509,
944,657,595,903,795,801,418,399,247,308,518,789,216,771,361,882,549,369,049,
489,077,890,432,135,309,176,249,145,173,776,289,616,899,342,018,579,957,773,
858,907,687,807,636,345,205,067,703,212,702,097,073,367,776,170,270,233,027,
403,148,685,187,051,356,348,976,306,722,181,979,391,500,897,068,166,635,664,
754,548,458,073,032,378,588,641,345,459,830,196,878,511,320,591,831,979,114,
922,225,496,963,169,183,016,759,503,605,355,398,919,342,883,413,422,825,836,
919,701,510,925,673,826,795,869,918,257,299,461,528,011,834,191,410,501,045,
672,401,379,139,957,132,511,381,306,802,054,744,970,238,578,501,133,865,937,
358,933,273,689,157,339,838,393,620,563,547,029,780,676,534,829,938,590,761,
158,936,175,588,961,270,517,009,321,186,051,391,957,669,311,251,762,852,343,
911,689,820,792,964,725,482,655,889,043,364,627,695,030,541,099,243,201,644,
703,641,127,320,414,478,386,114,295,311,936,590,294,318,896,222,097,066,479,
552,529,472,100,750,951,249,165,227,340,069,481,472,110,328,153,858,946,349,
388,791,039,330,283,863,779,149,867,957,280,287,744,194,488,112,922,493,135,
226,264,918,843,151,544,339,010,025,358,685,254,251,542,941,870,424,064,269,
833,744,595,232,215,830,856,868,533,573,111,628,996,095,219,433,858,779,750,
246,273,812,656,915,209,647,538,037,372,603,445,620,798,388,809,499,403,193,
572,884,458,320,557,349,975,473,759,380,469,142,200,105,586,645,539,329,866,
402,580,312,745,964,515,862,506,616,062,957,970,585,414,319,279,799,301,829,
714,595,219,241,942,509,117,073,975,936,623,522,594,439,632,983,506,732,554,
148,134,919,240,520,385,260,682,220,590,185,583,191,357,071,932,583,508,209,
748,952,897,532,920,651,369,485,726,576,106,215,792,377,585,974,317,565,570,
790,374,475,976,711,090,937,329,776,946,407,915,479,207,821,957,468,669,792,
602,920,295,058,695,379,312,659,735,139,959,611,054,300,978,448,070,952,705,
578,811,081,074,177,702,670,107,115,715,518,579,995,298,533,024,922,457,966,
411,576,165,521,055,208,066,463,651,122,538,971,878,481,454,171,078,201,851,
401,144,730,069,420,940,713,326,097,468,467,266,790,791,208,387,984,155,962,
792,064,219,172,727,600,627,978,848,547,908,519,903,239,653,243,755,565,249,
402,988,016,267,386,713,174,921,194,217,938,809,690,722,046,464,264,039,042,
120,419,214,967,124,982,243,256,077,853,424,961,746,368,930,614,231,955,153,
758,998,586,899,146,848,180,135,410,592,969,818,336,262,357,092,654,295,975,
812,324,242,478,126,180,726,901,530,687,733,926,689,710,212,076,181,728,069,
061,799,360,346,039,850,831,198,945,957,278,398,924,391,369,344,962,033,553,
222,544,662,211,508,389,986,837,871,505,484,187,352,725,569,614,533,416,781,
019,930,919,145,490,458,629,780,992,835,392,577,792,982,708,195,761,407,549,
462,679,587,209,308,716,115,002,836,642,251,255,856,521,610,078,918,647,240,
991,490,182,243,792,235,270,037,075,954,696,958,887,578,056,403,173,045,522,
403,820,176,418,729,626,619,233,286,991,792,477,050,300,525,184,762,565,261,
049,081,998,330,213,797,491,194,716,524,565,137,298,802,968,138,067,588,891,
143,706,039,721,867,747,559,262,675,004,343,884,623,641,020,433,118,200,911,
771,903,223,700,981,779,227,989,734,364,770,877,583,991,528,186,645,937,379,
774,598,350,025,972,417,642,167,182,932,176,293,158,857,060,007,944,255,962,
272,037,420,844,217,617,922,620,677,911,101,673,773,545,735,312,138,322,946,
155,798,885,936,114,199,773,414,398,209,377,614,954,758,731,345,964,378,980,
115,718,301,529,634,027,530,081,689,744,168,581,099,220,825,401,579,471,006,
243,190,967,726,427,710,370,381,986,387,093,469,378,835,623,181,076,256,365,
830,177,272,024,579,923,086,410,580,788,288,110,137,023,942,347,146,800,542,
186,693,030,666,664,393,713,570,857,278,052,831,999,173,250,342,879,077,156,
188,034,427,137,921,879,183,709,083,624,841,975,780,673,266,284,087,617,871,
948,779,037,836,203,373,747,322,520,359,494,077,988,361,325,723,242,197,021,
551,116,084,860,107,036,910,881,965,026,164,258,672,695,878,360,063,453,908,
383,135,959,153,285,013,519,674,307,079,175,019,591,832,699,573,006,241,214,
121,888,860,992,709,504,397,121,894,822,019,218,447,735,118,713,853,361,903,
165,510,716,100,244,100,055,612,695,183,253,075,618,748,174,587,257,198,767,
831,104,715,235,311,278,848,928,283,492,767,653,374,781,045,908,837,939,916,
483,750,993,388,610,311,465,709,678,328,865,875,677,032,459,447,574,688,469,
985,024,934,412,558,838,490,366,314,188,966,191,562,077,034,344,567,463,844,
199,955,499,520,327,306,586,825,416,749,150,548,674,146,575,227,981,263,109,
884,174,973,203,042,979,846,214,201,589,587,641,904,752,507,297,446,168,559,
129,155,403,926,840,402,055,928,740,627,576,214,892,673,441,168,931,107,771,
059,598,422,837,124,934,307,954,015,569,797,388,697,337,093,970,187,952,562,
753,139,526,116,136,641,256,676,845,172,733,899,498,011,364,481,524,099,230,
644,191,902,638,102,432,912,279,742,975,479,816,753,188,295,222,652,460,578,
516,485,531,568,067,077,699,351,334,148,990,864,729,989,129,872,618,989,925,
872,224,026,507,124,061,667,904,539,054,515,778,186,320,969,107,322,462,547,
653,018,470,165,212,324,311,361,186,667,162,931,771,561,727,992,087,707,831,
921,735,949,858,749,622,159,699,410,480,877,074,970,334,858,326,697,894,654,
494,683,072,599,342,565,144,941,742,231,475,638,271,753,834,295,387,654,455,
911,635,139,491,619,595,221,708,901,718,515,916,260,954,948,918,619,080,390,
159,579,298,053,511,554,971,549,745,073,219,397,614,087,352,588,812,841,777,
980,752,246,665,547,000,833,128,105,706,509,346,180,230,002,355,490,021,051,
503,665,380,889,676,912,699,581,059,575,206,104,507,650,371,518,188,874,248,
019,000,793,326,911,390,331,765,670,379,252,989,377,681,289,491,463,778,442,
745,726,236,220,298,228,883,030,272,590,723,587,902,898,226,703,736,053,129,
618,355,413,711,526,032,594,201,956,602,884,834,734,151,527,859,414,210,180,
095,940,687,138,253,838,340,218,164,769,885,818,425,070,044,591,304,319,762,
395,899,396,142,538,604,085,741,318,515,530,452,924,742,052,556,114,305,297,
135,251,433,649,792,832,435,544,824,053,662,941,971,025,371,306,475,359,493,
810,367,953,224,255,374,828,882,178,225,967,876,346,826,422,682,196,664,069,
000,496,882,090,101,364,136,663,215,595,274,074,849,385,997,067,902,555,889,
048,189,370,093,974,437,280,588,310,565,515,858,966,693,988,620,533,015,086,
179,540,637,645,644,770,703,348,701,947,854,824,835,831,693,773,964,791,237,
123,501,153,160,360,949,409,893,798,678,694,003,370,309,790,265,565,632,367,
629,978,489,539,689,110,848,117,426,621,125,530,020,425,915,117,111,248,395,
324,004,454,126,979,631,197,435,586,423,322,966,618,907,584,946,202,580,121,
772,445,265,027,265,287,656,167,503,847,867,666,701,945,143,132,870,373,019,
685,027,745,351,188,432,027,341,658,937,966,992,042,837,352,185,418,122,538,
579,519,839,461,627,108,202,912,719,847,707,756,212,770,183,474,881,719,129,
174,414,620,365,166,186,997,446,205,965,800,692,465,693,287,965,896,099,357,
049,072,315,885,782,999,249,727,156,500,377,034,328,974,631,222,659,048,566,
785,838,218,350,145,721,677,323,386,740,837,865,861,643,555,227,072,874,936,
734,796,791,205,602,256,992,987,609,877,235,174,315,335,167,540,078,559,115,
723,920,558,589,432,020,596,365,583,783,737,022,145,198,774,298,590,785,446,
183,964,174,720,800,649,848,173,947,336,288,525,155,261,330,254,977,810,985,
624,640,584,919,027,566,934,751,266,610,928,406,878,192,157,979,051,744,540,
544,884,449,396,289,208,326,155,374,344,127,562,189,865,701,126,964,241,506,
203,433,442,809,774,212,714,567,155,178,477,356,238,617,848,321,650,152,458,
379,509,900,519,692,795,463,855,939,084,200,973,978,900,598,181,638,473,484,
492,559,660,912,950,489,730,453,889,624,512,295,485,746,283,934,598,862,327,
019,236,566,904,270,126,124,992,962,102,414,992,559,648,851,156,347,879,601,
698,858,217,803,558,341,776,783,518,097,326,117,184,398,926,091,186,097,381,
720,592,662,688,210,580,514,030,110,994,870,872,782,365,677,358,756,619,352,
743,102,091,834,536,324,710,922,660,589,969,891,646,339,309,686,827,706,146,
770,827,679,167,358,254,048,322,257,138,259,440,523,862,308,005,864,650,756,
675,271,369,586,934,826,442,902,637,547,537,007,886,594,448,345,869,295,439,
923,997,724,763,026,252,747,786,371,741,526,400,586,203,273,572,799,439,774,
851,065,189,825,238,628,165,347,994,762,457,941,335,807,019,664,870,082,060,
471,960,895,527,311,244,042,699,881,247,047,080,828,943,719,025,020,350,662,
075,280,712,223,943,073,207,281,562,488,327,347,698,087,720,081,995,203,406,
856,296,203,096,320,444,704,539,541,720,814,251,734,116,483,433,510,533,930,
431,864,379,371,974,100,590,173,129,477,222,926,469,065,472,887,241,986,544,
430,343,923,087,250,962,772,898,150,041,075,681,580,181,894,294,423,497,220,
908,661,909,897,564,618,781,079,132,241,359,103,224,798,150,614,050,369,430,
306,955,669,426,291,123,862,061,421,388,859,512,021,997,295,244,894,161,204,
467,892,508,616,005,903,010,199,769,341,429,163,497,654,377,477,832,683,546,
763,380,584,280,974,756,133,045,302,866,024,038,034,233,285,342,454,822,677,
774,993,424,013,132,855,100,930,701,485,104,603,467,027,089,460,969,708,640,
333,366,505,205,497,232,409,130,400,074,551,584,087,286,260,560,570,798,532,
998,112,832,897,702,951,923,425,625,091,823,895,943,174,196,112,715,385,280,
596,640,368,662,687,495,933,703,875,493,808,593,516,316,383,169,371,725,501,
224,377,751,426,896,930,726,240,253,378,766,110,740,582,964,597,159,076,246,
761,071,411,027,845,107,985,827,141,063,900,436,566,916,572,038,404,539,413,
397,601,847,447,568,460,884,153,023,461,003,123,192,407,364,329,538,429,155,
015,082,915,193,382,112,604,138,495,428,933,597,298,525,354,319,391,839,904,
678,862,045,894,093,669,353,721,944,417,908,641,147,080,947,674,326,777,876,
751,021,426,955,508,481,172,258,536,249,400,616,119,439,241,842,665,277,261,
608,083,428,570,034,170,533,941,797,149,743,664,797,139,860,956,973,631,174,
560,412,016,682,648,570,701,537,582,290,083,610,009,246,640,109,032,765,385,
285,704,415,797,934,918,020,798,911,022,194,583,285,984,084,458,049,518,983,
761,633,057,499,914,067,151,582,173,245,183,687,374,983,915,994,485,966,642,
522,168,781,064,650,845,943,747,345,509,911,317,422,708,117,873,320,780,532,
934,672,996,536,615,365,335,082,485,221,920,951,309,202,604,564,224,788,293,
575,946,318,767,001,239,527,839,912,359,795,176,922,812,080,377,516,955,572,
542,830,508,012,831,269,292,806,892,462,904,501,093,955,627,889,944,410,099,
408,004,598,580,817,672,563,937,792,687,423,010,984,922,831,784,251,681,378,
189,105,714,176,686,658,046,614,474,570,067,970,353,349,907,874,321,372,288,
069,745,197,715,912,874,233,172,594,304,634,716,386,091,746,537,672,885,936,
463,606,009,024,821,305,380,943,653,964,917,806,019,770,320,802,171,535,989,
936,980,611,178,085,167,191,261,918,210,942,090,876,441,100,739,232,135,022,
797,722,556,458,124,314,090,158,623,611,777,966,200,897,858,705,962,915,541,
433,547,885,589,130,238,432,078,166,188,078,443,127,654,962,311,418,640,935,
657,945,872,902,338,080,862,457,119,801,721,911,663,215,560,384,917,914,793,
353,825,613,166,770,297,540,143,057,817,323,010,014,015,694,337,257,147,691,
670,501,899,598,983,601,459,027,517,776,905,075,231,724,329,592,723,769,098,
234,710,174,088,812,248,957,701,503,930,670,007,409,856,314,273,398,223,575,
321,047,211,094,998,487,183,448,600,583,880,616,526,354,158,354,126,705,726,
937,935,737,377,074,265,938,825,560,500,539,031,501,095,552,645,200,220,707,
613,630,591,992,403,590,900,715,908,770,245,680,674,854,982,475,523,317,495,
263,594,168,086,680,679,116,385,396,511,077,167,074,861,825,351,974,105,653,
542,103,940,558,959,885,674,569,289,627,616,858,576,904,964,846,388,251,893,
987,986,334,159,981,962,293,770,566,183,974,726,391,350,888,276,112,332,697,
478,099,044,568,139,917,734,069,700,818,850,020,702,550,694,307,256,200,185,
415,670,884,904,652,427,427,919,825,114,489,010,588,679,220,943,357,309,365,
307,191,554,462,864,747,551,513,722,686,770,614,619,617,460,691,438,115,037,
645,842,008,750,440,407,762,118,638,688,359,854,145,784,983,484,298,369,409,
501,873,721,583,347,828,363,294,449,264,113,983,505,747,718,066,055,561,150,
534,815,033,679,847,205,455,422,967,180,642,878,259,152,442,137,863,323,662,
619,243,809,414,534,317,469,829,552,203,450,525,606,185,980,248,437,346,604,
751,573,169,955,053,386,429,056,431,157,314,089,222,381,964,609,688,822,262,
678,733,043,754,039,419,086,952,050,688,183,611,313,683,334,176,432,212,250,
805,545,411,346,389,945,080,507,136,041,966,133,839,937,727,790,715,417,453,
841,270,992,916,447,745,660,301,743,724,811,446,901,458,344,307,577,542,613,
679,069,060,342,518,550,706,703,889,664,263,019,792,790,764,077,346,757,149,
564,996,993,849,221,635,212,357,831,784,879,965,698,273,381,209,759,487,082,
770,649,040,611,281,229,014,892,335,106,886,877,247,970,403,357,395,029,792,
894,888,748,003,864,054,680,296,502,776,741,344,870,449,161,867,683,014,912,
880,441,375,986,038,335,562,674,959,991,509,772,268,926,536,681,096,524,237,
522,243,249,828,428,824,976,215,963,849,221,353,346,130,888,851,547,788,381,
854,714,368,885,264,259,843,408,826,329,101,500,019,633,078,202,235,667,588,
507,169,279,154,460,229,232,277,332,114,894,567,721,238,470,753,742,121,615,
560,505,484,183,518,722,482,261,067,605,630,965,870,848,698,223,330,368,949,
918,679,705,771,705,660,510,895,327,786,960,413,896,980,897,551,696,693,446,
418,346,879,358,072,750,109,702,833,565,198,590,553,272,020,879,812,858,661,
006,881,872,088,327,915,496,847,626,996,290,575,192,803,401,008,272,718,207,
666,129,197,441,142,084,365,517,247,943,513,046,750,784,424,204,363,149,883,
112,449,835,955,926,513,099,681,431,504,984,379,419,748,467,909,387,817,345,
844,715,044,347,755,170,547,754,691,194,057,755,469,113,839,052,251,819,149,
836,201,336,152,896,272,835,604,765,012,849,472,198,998,184,900,730,149,114,
351,342,089,575,104,446,381,838,769,950,177,151,546,760,095,559,809,687,569,
158,688,323,593,423,626,966,293,700,868,211,672,629,694,962,991,389,277,435,
712,781,808,441,544,566,101,494,703,846,267,962,597,804,062,457,900,786,259,
936,660,866,399,480,092,551,912,848,942,785,591,141,843,178,664,777,426,307,
160,852,697,404,303,037,200,956,193,895,202,427,836,551,333,719,028,850,219,
561,408,171,146,909,329,156,607,542,551,868,377,346,402,123,271,250,601,200,
030,311,314,214,686,538,465,491,370,445,153,109,630,947,895,158,278,465,811,
667,197,099,718,494,017,761,963,854,614,203,298,703,796,615,732,346,495,134,
133,991,010,745,260,385,715,017,099,437,288,198,931,769,220,324,750,643,439,
301,025,232,265,942,571,015,680,196,725,996,296,048,575,364,592,627,013,934,
680,387,050,292,336,244,923,740,660,820,808,245,193,638,964,300,910,172,051,
941,290,961,339,231,322,682,756,760,655,548,109,742,504,767,037,815,579,363,
339,186,071,591,732,414,936,113,330,437,378,018,398,345,295,945,012,740,691,
466,513,168,052,248,403,837,041,071,534,909,729,194,269,369,520,222,166,203,
734,829,490,317,232,971,734,226,211,194,890,747,109,657,861,645,667,567,830,
999,871,904,638,974,517,299,424,892,888,380,172,631,580,512,224,116,056,518,
218,994,492,826,036,428,500,420,108,579,676,684,829,600,917,585,709,048,326,
853,037,028,359,061,710,126,710,826,450,526,849,395,077,373,911,691,115,167,
728,321,124,703,717,840,716,993,718,406,420,570,527,958,138,881,222,053,909,
898,610,199,421,445,035,113,813,777,601,294,799,472,361,633,641,380,751,367,
451,926,445,700,851,778,446,855,650,289,008,078,431,260,862,542,165,249,819,
198,163,581,564,254,655,957,398,463,728,836,824,113,254,255,260,708,267,346,
306,968,416,084,599,067,502,075,053,931,900,254,561,156,915,619,194,036,126,
337,189,092,205,127,277,653,208,954,561,105,306,801,168,264,452,332,877,786,
661,669,004,238,607,949,813,114,624,290,444,282,960,755,164,069,300,272,388,
235,065,852,946,191,677,296,588,298,024,378,539,671,803,201,675,888,422,089,
542,727,258,931,349,032,196,331,045,969,109,041,364,051,232,130,236,613,427,
564,646,307,777,480,240,531,772,532,846,779,852,151,195,461,195,843,889,972,
592,569,291,899,412,778,335,393,242,762,156,272,914,721,711,686,518,790,027,
233,875,182,341,863,082,989,707,387,693,881,318,100,464,994,876,809,925,063,
972,191,919,648,957,584,914,330,310,047,859,509,973,987,694,726,733,322,470,
482,009,418,048,114,564,055,845,713,894,165,122,285,039,048,308,125,412,029,
532,431,602,689,128,010,053,021,276,267,541,216,542,769,951,262,489,403,866,
004,243,407,097,157,670,235,009,026,128,861,310,818,893,526,325,727,750,573,
762,429,426,737,837,627,514,342,571,951,240,336,160,204,803,872,986,523,969,
087,802,811,860,801,419,862,424,759,540,734,003,516,793,806,427,906,607,535,
178,821,973,013,375,587,626,811,709,017,626,291,564,668,106,790,480,096,213,
861,930,584,173,633,809,493,201,933,575,157,451,942,378,785,346,723,165,830,
284,779,502,062,230,933,689,065,384,106,360,547,094,547,936,740,888,804,840,
307,504,928,963,118,443,829,324,462,558,299,873,359,363,179,051,463,986,322,
225,980,056,315,509,972,247,492,785,827,307,041,942,621,238,466,173,816,840,
694,114,830,556,209,409,793,870,020,594,246,097,001,990,620,215,576,111,572,
290,940,464,213,883,361,163,582,038,151,505,433,363,325,043,090,190,043,450,
717,765,245,366,679,937,799,944,693,401,563,052,174,401,796,234,112,990,709,
409,277,575,444,032,116,847,678,376,075,657,845,401,147,883,992,359,049,307,
777,576,151,426,503,992,788,353,119,578,896,487,638,145,537,284,712,465,350,
041,889,713,692,525,016,920,859,227,729,288,429,807,228,723,545,207,155,922,
133,026,775,001,808,199,901,946,137,450,392,057,124,583,899,613,990,321,500,
016,427,817,081,240,360,034,506,679,819,342,724,957,449,582,495,333,295,458,
499,087,503,770,361,961,671,535,243,269,895,606,950,724,389,513,413,784,639,
789,534,152,551,026,763,067,587,717,848,135,336,553,561,753,369,750,293,371,
762,141,636,821,320,809,529,744,884,843,572,777,765,227,547,889,089,294,236,
220,696,178,770,714,457,633,491,859,694,291,932,382,154,589,361,582,327,548,
020,329,151,777,838,058,301,170,523,805,634,676,818,956,555,217,910,656,303,
749,894,797,359,015,698,996,184,401,814,090,752,672,125,075,339,924,889,374,
843,958,882,368,837,022,355,202,907,257,484,689,423,424,793,441,580,376,207,
224,030,051,055,988,212,617,960,608,981,293,849,963,716,836,807,439,617,214,
168,805,773,015,265,917,217,644,964,010,701,951,292,099,700,600,381,089,446,
545,364,350,370,662,426,816,600,640,657,852,523,549,910,729,727,268,317,351,
760,477,516,043,080,231,940,842,288,422,283,853,576,063,747,516,326,661,982,
955,269,021,221,526,443,433,055,211,491,130,225,067,860,983,861,027,455,680,
870,480,936,629,351,375,061,231,219,210,775,676,715,875,488,899,566,328,486,
958,021,224,935,171,233,639,298,725,569,592,249,366,224,757,740,729,068,674,
688,291,705,391,284,390,814,238,834,502,874,944,764,151,232,402,415,446,882,
748,592,604,458,043,653,588,277,062,804,535,511,335,928,144,625,837,853,698,
559,129,253,365,335,765,823,837,749,481,938,104,915,208,004,901,196,072,912,
592,396,471,134,345,040,766,107,423,719,177,138,617,823,711,789,682,943,012,
227,727,318,041,205,848,299,345,863,926,953,315,303,959,391,115,606,438,179,
175,822,631,156,180,575,081,981,427,470,391,787,854,580,131,898,772,804,828,
304,506,347,944,403,405,902,558,797,744,199,535,054,399,815,719,932,902,923,
459,644,435,892,847,785,415,514,693,067,456,895,026,304,076,167,814,989,111,
367,418,221,073,922,496,708,756,956,949,685,872,145,866,625,231,855,874,305,
105,313,000,767,569,316,819,157,888,990,381,608,215,636,234,741,123,624,240,
692,941,231,788,154,320,644,857,821,460,703,294,832,130,321,337,996,755,183,
989,770,855,992,982,902,976,777,363,170,393,193,879,865,205,185,445,328,786,
709,083,263,132,164,896,367,206,289,168,475,715,600,788,058,989,482,978,957,
277,966,797,570,030,071,004,264,484,024,899,940,273,812,884,541,675,479,933,
248,767,795,156,530,688,312,083,036,360,662,992,842,218,348,645,670,702,448,
804,763,315,337,243,473,206,951,300,364,204,582,443,633,524,012,186,120,708,
913,591,671,544,657,944,152,893,241,386,281,180,554,904,914,013,170,956,758,
566,254,925,408,920,358,542,831,128,669,185,049,912,698,984,305,840,249,504,
892,539,454,499,454,096,399,407,531,094,304,532,916,277,199,608,520,486,666,
709,575,314,764,197,909,080,535,918,093,502,975,070,719,950,778,736,338,305,
052,484,480,927,156,247,205,769,636,327,609,162,890,963,712,064,510,993,216,
738,578,985,623,799,451,676,501,196,556,896,322,651,029,716,975,330,110,501,
823,425,467,963,594,774,348,184,917,767,244,723,201,358,426,489,532,503,027,
994,021,091,634,933,587,389,052,341,675,512,454,702,156,606,280,692,756,691,
976,991,049,827,136,286,387,551,760,585,353,812,973,637,378,673,550,299,442,
415,226,866,905,637,647,366,562,703,502,749,430,160,294,236,626,590,384,330,
443,817,416,767,816,516,248,386,947,170,991,322,408,171,009,518,424,490,065,
120,309,587,926,261,800,706,654,460,468,070,532,476,745,477,810,743,730,734,
647,446,005,988,538,509,011,091,338,961,791,798,741,661,104,477,058,591,270,
773,191,318,461,940,057,387,219,724,972,357,055,987,665,735,230,939,530,003,
324,424,283,548,226,746,776,458,542,765,013,581,310,853,098,091,205,207,796,
383,344,456,105,613,257,937,690,087,467,726,700,347,419,202,214,388,098,935,
654,853,001,599,479,276,812,651,073,072,506,468,674,299,466,429,045,003,072,
186,580,783,543,342,952,750,691,875,864,144,547,968,838,238,291,287,518,109,
288,177,543,468,701,638,405,039,643,532,542,483,174,985,047,240,930,445,170,
855,899,986,352,551,598,002,787,625,032,894,491,655,501,473,639,189,912,502,
086,751,821,642,930,300,324,374,919,291,704,907,179,197,825,024,303,042,803,
931,687,431,407,875,570,320,057,453,438,088,339,694,430,097,184,069,673,896,
281,225,215,516,135,848,889,845,728,660,604,380,123,084,314,487,667,573,330,
562,078,150,004,027,492,186,694,929,197,713,943,477,027,651,626,973,172,278,
362,379,720,519,866,955,847,966,615,082,999,144,405,166,640,083,857,344,919,
136,305,055,766,986,948,791,096,906,911,600,572,713,104,004,961,535,092,972,
638,728,292,152,779,108,679,690,177,593,221,476,578,903,336,120,941,626,422,
105,074,579,819,269,381,597,912,086,580,002,273,898,653,828,872,574,396,704,
740,160,599,228,989,355,221,840,217,418,263,870,472,607,215,094,845,335,744,
939,946,224,618,527,647,254,601,371,962,047,321,064,808,206,445,631,464,734,
289,851,208,006,955,786,333,280,558,290,839,736,898,763,966,424,477,959,567,
311,193,692,315,059,696,749,259,286,240,453,411,470,323,017,964,406,794,126,
288,734,962,012,660,527,660,292,706,873,787,294,375,956,142,649,115,213,758,
879,480,764,385,628,219,129,483,510,551,952,854,958,958,427,020,328,126,410,
734,024,277,822,211,520,173,547,260,872,566,273,991,514,893,556,835,198,746,
042,435,979,687,934,893,703,556,115,481,696,155,202,810,177,341,636,721,702,
433,491,270,286,271,934,787,485,655,123,343,231,090,430,172,099,575,914,635,
361,668,142,175,495,416,822,681,633,948,977,114,955,785,028,554,227,750,011,
771,005,345,458,495,406,297,324,463,322,607,363,506,755,664,656,641,832,026,
281,535,010,618,265,149,266,867,920,251,044,277,022,155,768,641,997,399,345,
741,660,571,512,318,799,489,596,479,122,251,154,356,286,630,176,602,401,253,
623,824,844,868,105,351,929,903,947,780,770,953,723,440,464,930,601,143,538,
805,004,754,993,854,492,366,309,441,049,256,983,111,122,672,942,653,721,550,
652,271,011,319,864,692,316,193,575,905,999,674,568,651,586,863,977,603,187,
962,925,279,624,415,466,943,657,475,928,284,153,731,494,624,823,698,133,714,
226,952,858,777,476,929,797,069,454,599,311,046,432,878,910,139,081,551,000,
693,308,814,347,917,047,819,609,469,595,013,308,274,940,003,203,225,733,044,
379,975,064,783,124,903,387,935,894,502,305,670,915,047,622,970,644,531,747,
701,869,225,959,636,570,618,356,520,454,169,007,152,435,717,929,448,650,579,
171,515,932,107,154,712,348,210,543,887,626,401,435,444,251,714,966,121,298,
808,308,885,923,486,743,103,198,084,515,812,393,532,200,808,390,120,643,302,
731,921,400,448,320,660,657,575,045,885,467,097,350,589,750,317,603,455,140,
657,335,555,118,625,323,246,936,673,023,073,758,421,675,428,757,700,895,366,
898,794,106,161,782,367,485,854,879,008,765,207,612,542,825,083,616,777,273,
936,495,640,649,654,365,254,374,564,440,318,645,990,715,129,771,405,781,827,
946,373,973,792,693,971,321,345,269,133,956,115,879,548,031,223,521,860,365,
409,932,939,961,904,258,169,676,968,584,619,642,447,520,638,641,850,338,373,
778,884,668,932,768,139,629,710,308,431,908,055,978,582,816,608,195,256,095,
538,360,603,660,688,701,849,408,061,046,402,887,754,489,687,842,846,640,447,
045,183,417,889,248,156,900,757,581,143,034,805,995,802,865,509,242,466,921,
076,436,896,638,346,677,990,789,598,054,005,858,549,411,052,898,121,487,271,
149,169,408,649,375,131,819,295,791,232,698,513,240,043,059,341,836,261,396,
684,764,025,392,587,387,229,500,140,174,181,595,191,107,298,102,253,706,679,
784,154,692,668,062,650,669,836,716,515,475,688,898,896,589,345,802,344,863,
794,003,204,855,083,617,829,281,753,963,975,350,600,357,582,694,781,725,040,
584,951,643,849,423,340,998,860,686,343,554,944,347,945,093,732,213,043,321,
887,315,466,554,296,752,458,752,621,777,837,354,219,292,740,757,755,091,148,
701,147,496,664,546,650,085,558,490,121,417,173,364,026,092,313,318,527,306,
913,005,789,852,905,955,807,934,678,255,569,906,516,845,873,819,363,444,732,
123,065,986,892,730,199,132,914,658,837,262,165,844,291,885,105,113,084,762,
915,653,861,017,139,154,872,394,481,452,091,013,068,392,814,654,312,340,366,
953,703,099,551,700,510,519,394,934,459,423,912,104,733,183,670,454,317,382,
942,864,943,059,161,043,717,238,407,107,074,204,868,202,235,866,520,488,956,
198,780,117,191,675,645,559,493,319,987,537,797,628,582,346,649,931,356,454,
169,764,631,684,128,401,340,461,385,835,491,325,248,312,289,301,381,330,719,
151,995,993,251,722,905,900,404,370,575,068,937,140,807,778,584,535,470,568,
140,428,037,060,554,309,452,293,551,919,063,414,046,368,899,039,159,024,669,
087,988,907,560,786,111,336,595,498,451,397,195,627,212,573,591,967,108,444,
649,852,536,752,424,469,916,704,517,449,919,449,405,207,748,482,176,997,218,
350,564,440,422,399,916,087,976,866,384,580,321,608,875,106,469,695,624,540,
124,279,225,998,350,490,319,799,546,056,276,962,659,427,980,618,571,069,196,
858,746,195,443,135,017,877,117,985,265,386,240,547,397,550,168,391,490,440,
808,861,443,057,553,442,044,020,802,353,592,424,322,738,954,588,763,595,051,
900,642,731,368,922,744,150,514,819,032,446,220,201,751,048,111,557,802,584,
176,181,248,267,405,169,882,903,947,155,926,733,824,110,865,695,886,205,337,
813,867,460,406,367,882,235,619,717,519,039,932,690,498,745,338,389,485,704,
923,801,916,203,100,901,410,549,293,804,555,342,123,254,985,094,308,205,854,
325,076,407,405,949,683,096,097,640,668,043,522,730,853,248,293,547,603,319,
677,920,597,971,894,460,921,086,778,542,079,098,178,767,635,974,079,060,172,
434,653,765,574,806,624,523,333,483,438,278,322,667,544,000,258,473,755,831,
398,958,344,522,525,263,456,423,123,611,206,528,577,077,683,641,155,332,316,
035,809,635,618,736,532,841,833,353,365,235,047,909,339,269,535,680,007,509,
403,954,833,446,602,178,377,372,020,714,840,771,106,027,552,382,109,400,231,
572,881,122,884,381,130,216,253,185,279,455,398,273,634,066,005,534,088,480,
322,260,717,246,367,035,185,208,813,942,563,335,817,046,709,348,740,280,033,
710,022,695,516,636,417,612,354,333,832,160,777,408,990,245,274,310,727,400,
854,460,037,708,204,565,921,728,362,627,253,829,894,630,622,570,633,922,044,
877,812,222,699,608,082,048,687,231,072,430,272,885,235,805,699,781,070,046,
603,196,398,513,552,830,313,272,048,521,478,867,229,903,334,983,253,246,997,
250,792,497,961,376,397,501,009,460,130,433,765,309,439,635,669,235,907,993,
799,383,809,132,023,038,658,208,909,451,465,529,453,298,184,434,314,055,328,
752,775,683,109,859,717,918,212,081,908,341,150,942,329,043,467,239,585,023,
671,034,797,175,304,781,187,602,023,795,830,602,926,704,019,232,096,322,044,
783,190,469,604,466,627,490,512,254,391,022,227,579,292,071,166,883,015,190,
042,726,325,346,265,211,042,306,657,911,625,060,352,068,284,495,844,862,637,
054,835,633,569,013,196,860,668,194,479,703,059,968,777,621,979,515,984,975,
926,928,276,070,271,487,968,757,132,127,197,330,499,139,444,288,496,962,806,
642,119,475,469,747,174,886,460,445,257,031,036,279,802,560,509,786,073,889,
204,974,776,422,907,201,142,928,229,167,520,231,135,695,142,400,182,229,200,
783,067,740,695,710,191,894,854,929,639,660,296,606,051,428,331,756,585,079,
492,655,255,024,479,449,549,415,544,366,557,958,188,802,542,581,301,517,935,
683,004,889,905,454,382,958,207,569,959,571,104,592,722,019,247,509,268,512,
940,599,272,745,449,663,534,894,606,051,012,924,584,590,890,718,350,719,487,
966,634,048,862,961,088,454,483,408,763,318,118,467,816,402,746,477,229,682,
022,037,559,547,176,642,988,759,303,281,926,397,156,125,309,064,101,883,256,
954,492,110,867,163,049,906,258,551,787,614,634,506,660,365,844,385,713,157,
345,649,486,768,741,551,334,788,886,957,758,593,624,649,575,767,959,122,056,
939,415,460,132,240,660,603,118,024,776,939,954,270,837,838,563,808,802,540,
736,206,133,063,803,605,665,321,078,478,849,600,354,734,465,741,626,486,905,
295,961,836,150,910,690,703,220,074,593,949,526,185,444,832,619,017,913,976,
798,905,745,383,147,703,247,853,509,822,496,688,184,875,942,703,791,885,383,
639,061,663,744,420,554,230,462,762,952,370,690,973,324,718,710,637,161,466,
459,305,436,653,168,940,981,439,499,609,935,577,776,701,338,243,042,799,121,
410,961,323,857,756,678,912,886,234,243,034,723,719,074,412,492,829,556,005,
427,734,866,109,808,914,438,477,254,329,604,702,334,821,119,267,680,358,423,
044,363,094,513,816,254,841,424,971,332,890,008,851,919,804,070,716,054,735,
574,628,845,235,049,336,425,045,230,329,722,733,619,578,422,869,384,796,308,
369,622,745,252,698,517,468,561,044,983,396,057,899,276,378,882,682,900,557,
420,769,631,920,326,689,886,110,147,622,517,094,249,943,161,609,357,443,941,
421,225,466,431,477,141,381,936,985,221,568,660,781,458,233,283,879,440,803,
999,034,740,660,879,261,057,153,569,217,449,706,063,860,841,027,834,622,651,
579,423,719,911,159,600,672,229,486,798,310,730,049,678,366,208,713,899,838,
072,867,103,117,373,659,139,023,241,177,576,407,370,888,488,378,014,411,402,
000,258,431,327,324,471,106,143,747,851,558,882,616,018,744,385,329,901,510,
156,733,215,904,399,764,809,115,255,928,152,074,467,818,642,477,179,814,437,
616,096,099,071,867,747,569,806,933,736,722,212,669,075,834,175,801,979,217,
644,906,594,353,504,876,821,338,958,901,872,604,023,713,647,565,545,037,235,
236,770,997,810,504,561,071,852,879,545,189,769,595,018,081,184,764,706,958,
207,753,600,841,325,368,563,556,450,582,281,415,836,697,180,919,746,361,257,
027,138,796,655,427,200,515,400,724,361,282,147,672,888,340,838,652,386,741,
633,807,340,091,680,886,827,203,339,010,880,493,003,509,343,770,487,065,960,
186,097,284,367,886,935,212,161,891,127,256,082,637,870,509,716,208,344,884,
795,901,832,603,590,419,534,276,571,480,895,296,303,355,342,755,102,811,903,
775,843,041,596,414,458,864,819,761,698,301,154,738,225,820,598,869,407,248,
454,061,187,111,439,237,245,318,566,990,036,674,107,870,188,993,113,719,280,
425,035,400,288,202,591,980,918,299,855,619,283,841,969,354,310,874,947,559,
782,126,524,460,931,502,083,290,755,945,684,765,116,899,474,108,980,203,753,
333,817,841,689,122,342,362,207,367,713,782,864,775,597,638,807,189,125,154,
822,038,684,065,186,420,862,659,620,002,447,225,663,313,950,296,569,192,152,
589,609,705,285,398,653,103,072,956,463,674,481,754,538,473,246,285,964,862,
955,387,160,473,862,116,189,878,218,452,042,928,819,390,822,148,221,800,261,
607,313,318,967,615,571,865,805,334,330,862,739,223,885,481,368,453,035,580,
275,062,338,642,137,038,826,426,538,906,191,455,062,841,247,134,321,065,020,
256,882,218,026,666,231,325,858,193,836,202,138,192,155,805,969,690,139,983,
401,483,997,031,315,752,450,659,171,575,805,476,748,224,544,308,101,989,210,
882,313,880,700,829,279,594,433,051,966,793,021,055,624,148,481,788,662,542,
865,901,619,822,908,046,879,630,866,354,991,172,743,613,460,599,541,850,601,
950,872,636,569,322,426,808,407,016,471,078,894,924,174,983,581,753,705,336,
060,083,893,194,384,398,837,105,945,068,545,912,574,999,692,710,300,313,831,
350,596,759,030,579,373,357,234,313,904,156,838,341,708,661,166,925,246,337,
983,699,947,518,905,629,172,327,544,396,020,883,715,463,492,942,756,156,423,
618,767,457,323,136,784,294,421,822,442,962,532,533,225,524,501,437,273,018,
276,227,467,363,342,031,126,993,919,005,827,443,985,161,301,772,552,340,983,
812,500,015,921,301,859,273,539,016,460,224,191,564,979,588,552,675,085,290,
351,170,314,135,822,013,313,072,302,299,451,112,579,673,938,648,593,556,653,
464,099,542,012,512,203,158,838,765,724,915,186,646,837,324,350,449,261,416,
044,023,334,673,716,483,116,591,350,850,727,939,495,915,259,722,496,995,160,
941,744,062,912,679,339,272,882,577,590,123,182,192,762,700,084,046,734,770,
121,572,536,637,894,322,869,258,012,765,996,087,619,729,248,522,021,943,989,
651,613,346,601,766,631,271,106,079,502,890,552,195,439,617,007,826,811,307,
224,440,015,132,232,571,996,348,492,028,771,629,473,331,586,046,416,140,201,
600,427,119,393,724,729,040,282,637,307,541,061,909,184,474,131,949,488,753,
703,706,578,882,304,465,170,893,223,233,664,340,989,271,796,019,702,593,543,
254,946,033,090,384,977,821,062,786,666,453,974,322,773,403,010,100,562,562,
394,560,729,567,661,266,632,036,212,505,524,814,786,801,038,793,569,808,282,
113,817,355,112,789,326,468,138,448,238,058,315,253,522,742,946,218,188,175,
107,687,121,373,736,897,971,730,271,776,416,690,920,376,247,661,098,723,078,
368,383,086,432,670,945,198,289,327,806,949,919,950,681,459,222,985,346,516,
722,781,218,479,671,319,832,969,700,821,738,473,521,836,484,688,223,846,643,
992,257,463,049,839,117,226,185,256,935,396,244,084,870,406,075,296,531,728,
424,018,263,785,046,322,900,024,035,738,790,469,414,156,454,311,053,463,054,
994,113,962,102,708,768,070,098,595,254,557,861,240,399,548,839,506,261,939,
126,083,352,999,587,099,207,841,763,814,120,040,013,018,418,429,152,994,803,
355,302,120,926,453,984,428,568,574,539,529,767,935,242,631,946,709,066,399,
368,652,791,500,471,537,437,619,585,553,635,539,957,879,490,438,201,356,244,
717,367,601,826,974,801,443,741,005,421,826,972,758,217,331,910,173,878,556,
623,288,792,272,764,050,728,306,169,577,380,244,638,956,504,599,909,921,299,
906,837,717,622,280,912,616,108,540,360,400,375,647,449,785,896,123,540,685,
593,803,185,047,348,625,111,087,729,881,294,086,631,444,114,413,370,693,602,
496,214,871,925,165,042,787,447,201,429,676,552,750,455,669,832,293,693,876,
040,028,454,814,034,008,927,468,761,171,309,473,757,569,924,179,824,530,910,
235,756,681,105,387,496,355,078,418,425,679,435,773,351,213,848,922,650,258,
153,811,447,230,628,081,167,056,239,797,457,043,504,075,215,067,641,791,282,
544,007,604,117,380,573,669,137,262,774,849,627,507,665,871,087,669,189,068,
062,929,798,497,636,425,991,487,247,478,012,226,045,779,195,475,861,659,214,
162,503,028,994,838,966,231,824,428,254,722,795,739,529,819,542,852,865,888,
522,812,012,189,798,121,875,510,402,761,381,329,889,409,285,671,385,933,473,
234,482,633,743,194,277,085,417,240,163,530,238,029,888,873,428,792,522,421,
462,144,277,314,247,946,812,579,918,380,033,099,787,989,437,602,197,751,674,
912,646,714,341,235,490,361,352,907,322,157,553,904,485,559,026,450,851,127,
392,718,039,517,493,957,548,819,022,121,645,032,475,113,411,160,862,161,678,
931,029,265,710,494,628,503,609,250,491,544,766,825,049,390,653,963,680,165,
338,250,732,203,159,998,676,751,753,695,638,963,612,035,074,334,116,032,129,
930,571,418,285,618,911,562,506,493,959,242,800,131,142,704,109,677,721,394,
848,380,858,392,303,140,077,348,902,930,002,998,302,999,321,974,478,136,630,
590,304,791,394,214,435,670,252,941,151,803,055,025,336,964,318,553,947,026,
202,642,547,673,566,473,519,808,227,185,570,072,658,743,438,418,003,428,516,
293,446,113,273,420,721,051,559,897,886,885,502,428,188,451,106,513,208,930,
385,043,607,257,712,182,938,307,757,528,668,427,904,282,889,813,185,449,392,
664,919,129,707,343,982,592,988,784,915,278,296,169,509,686,981,173,814,371,
232,008,819,483,834,315,854,558,188,595,236,982,938,924,127,469,348,587,101,
687,138,684,971,905,285,084,828,610,073,181,475,948,544,159,554,233,585,886,
007,930,658,594,832,380,234,078,835,486,865,548,313,429,995,135,379,849,690,
404,348,824,863,148,086,625,692,045,183,699,081,250,438,267,367,958,106,671,
562,524,701,486,773,523,861,170,472,773,543,066,979,044,093,242,699,681,164,
314,964,604,495,781,910,153,941,185,327,446,498,589,679,608,012,731,396,432,
306,066,609,307,795,325,812,757,250,201,188,134,589,953,032,444,764,069,785,
075,577,238,134,270,525,276,820,495,084,565,258,108,177,391,014,768,702,722,
509,227,557,907,422,831,136,792,373,849,806,129,025,130,131,446,709,001,275,
051,873,628,668,398,735,166,571,371,149,344,010,446,022,659,768,154,275,904,
724,596,487,490,710,376,165,927,109,530,545,562,133,481,493,839,862,085,825,
866,418,976,637,274,203,026,528,068,826,864,415,493,650,841,887,386,442,831,
992,263,229,427,086,821,402,186,190,846,542,872,903,582,696,285,380,953,811,
343,668,936,580,368,053,371,904,858,391,470,664,211,300,064,903,839,193,570,
383,434,233,189,473,797,078,701,910,840,451,784,839,422,981,078,975,281,861,
695,649,717,834,616,379,459,344,299,590,273,908,431,519,847,839,577,805,742,
445,288,162,735,038,313,407,454,425,731,758,117,551,702,948,518,486,389,368,
847,243,124,154,252,501,760,817,769,716,588,429,303,380,746,811,827,985,769,
915,918,567,628,071,797,170,792,769,209,951,418,941,320,065,093,962,925,579,
010,760,009,955,427,297,158,972,303,092,780,380,687,697,761,372,881,016,627,
560,958,866,891,314,285,001,195,923,787,671,573,605,996,666,477,811,598,191,
108,336,970,391,927,733,972,860,334,578,085,145,809,930,272,870,551,148,035,
006,229,818,048,015,230,385,230,929,769,057,440,707,051,756,932,538,295,074,
545,662,199,401,484,078,093,714,963,156,489,389,604,645,761,653,698,274,847,
555,502,134,601,771,105,268,806,578,672,020,818,523,241,198,293,452,454,324,
251,934,597,187,956,554,310,172,646,442,273,861,069,851,871,543,175,830,805,
856,696,510,457,291,336,569,374,525,603,683,926,075,296,138,662,046,186,357,
228,558,297,948,340,785,279,134,379,827,799,051,387,056,917,000,327,798,864,
531,494,201,968,409,633,556,254,589,174,453,562,036,299,863,093,190,915,355,
223,337,776,881,983,168,040,755,447,532,624,968,729,858,492,838,054,112,878,
350,864,207,628,371,130,915,171,804,100,921,292,408,913,612,033,018,753,923,
918,525,066,369,697,533,382,103,565,629,350,935,136,747,304,390,232,838,762,
392,129,917,188,712,458,325,541,608,249,836,417,372,970,009,424,867,909,647,
905,671,782,562,405,901,093,519,468,088,900,899,019,516,770,571,631,963,806,
934,125,475,926,172,929,944,665,668,495,141,954,569,777,565,822,867,642,517,
731,939,593,694,647,207,651,306,974,698,071,791,815,750,029,650,258,158,011,
023,374,224,453,609,902,249,503,587,179,199,578,908,335,732,783,257,757,859,
712,828,730,521,246,587,399,318,090,441,731,599,810,510,369,667,491,038,952,
476,774,697,904,510,922,708,795,570,546,884,858,922,870,120,678,110,450,193,
598,048,380,723,756,608,162,201,905,014,654,346,892,847,585,683,309,482,936,
643,188,315,618,748,085,013,954,136,469,545,873,722,098,848,628,182,732,779,
815,445,389,596,787,996,618,638,792,674,365,391,921,816,154,362,347,632,693,
934,862,375,524,542,058,455,188,253,492,131,076,712,018,344,848,111,783,360,
426,115,831,325,958,998,639,268,713,890,308,663,028,187,518,245,221,975,402,
047,956,993,716,421,097,774,798,342,910,504,311,007,344,755,540,149,834,582,
072,192,957,706,299,720,657,830,691,400,813,415,297,432,269,034,190,236,761,
621,874,036,258,521,233,721,044,338,360,749,323,499,409,215,940,644,795,757,
530,088,589,845,658,147,694,299,504,522,448,173,602,971,762,673,390,433,662,
168,581,513,887,747,625,692,869,452,355,993,138,817,439,643,479,248,050,149,
008,820,183,465,811,720,565,998,136,036,334,587,100,010,383,178,832,469,220,
000,282,336,045,628,289,190,283,728,317,573,649,448,471,625,682,442,382,161,
378,727,653,167,888,500,927,050,705,572,710,653,589,581,696,322,333,438,880,
290,839,037,920,501,010,425,754,535,193,484,063,637,827,710,661,445,966,835,
372,155,888,283,765,344,155,942,769,166,767,906,501,683,483,937,356,677,853,
883,343,806,124,972,486,080,108,344,321,225,311,534,809,999,833,019,991,076,
562,703,185,200,362,980,260,005,374,133,757,839,937,072,741,120,319,824,085,
803,391,144,729,841,966,410,204,862,341,232,928,832,471,893,629,035,465,013,
350,881,826,045,750,921,812,813,919,602,664,464,678,020,426,601,084,814,254,
508,968,302,363,387,929,625,615,553,285,617,564,419,269,879,915,854,036,462,
888,573,908,950,541,696,600,335,160,785,440,599,468,927,372,664,622,935,655,
140,185,277,609,659,747,904,740,326,526,293,209,095,679,516,386,670,179,355,
946,593,979,305,947,704,405,696,310,403,342,892,091,256,483,306,833,142,223,
123,671,183,966,093,063,743,537,687,017,856,923,936,811,189,342,610,617,675,
579,405,815,673,235,221,846,418,502,517,048,798,849,053,033,653,157,274,774,
963,344,798,904,075,090,247,517,883,509,472,372,397,771,542,820,219,822,904,
402,366,465,029,076,655,347,555,649,931,738,571,852,888,560,354,154,779,556,
276,701,788,121,950,104,596,055,375,237,009,384,344,024,654,234,221,061,793,
445,813,115,317,769,466,570,380,225,121,492,113,919,231,606,010,716,437,231,
767,254,394,839,446,650,090,399,617,074,481,415,874,183,706,911,776,349,526,
906,907,099,700,270,671,734,987,602,130,468,309,484,022,137,349,497,735,643,
640,961,587,298,932,583,587,475,390,597,533,080,880,326,143,322,389,980,501,
484,306,168,445,339,076,286,451,774,595,654,933,887,105,415,487,128,710,324,
280,367,283,029,949,737,023,573,808,667,848,830,757,532,682,310,422,062,909,
392,869,851,479,414,506,584,174,650,239,487,392,970,391,018,738,242,629,405,
889,155,248,122,276,507,253,393,307,736,057,739,510,612,174,162,831,121,653,
114,817,385,887,632,467,990,602,126,322,419,684,162,864,764,878,545,543,937,
305,543,951,426,634,266,104,526,636,207,956,923,123,691,049,457,991,400,871,
965,379,109,629,976,667,811,480,082,482,006,633,777,344,295,457,671,049,253,
215,218,511,436,735,317,970,450,058,391,164,559,110,543,021,690,268,273,666,
575,541,306,160,154,119,676,492,502,690,579,597,044,963,470,376,049,739,391,
164,915,227,386,125,176,338,679,012,038,119,006,548,837,219,851,352,928,317,
641,434,874,997,006,813,988,340,087,209,829,933,153,276,092,713,728,682,091,
523,026,990,312,820,728,163,514,044,750,456,782,566,948,233,339,359,488,268,
113,916,904,964,218,906,376,124,975,720,510,152,737,119,863,809,438,692,662,
238,007,508,947,910,064,922,140,890,859,484,984,207,500,667,719,220,502,394,
180,022,736,718,962,364,410,878,940,409,887,104,427,097,026,821,592,534,032,
169,615,742,499,728,783,268,062,241,233,488,093,918,510,456,141,449,162,038,
471,753,544,191,805,499,581,258,675,945,946,410,063,125,586,621,859,300,499,
607,774,609,185,115,219,691,577,009,354,678,651,209,566,347,623,100,739,522,
543,797,124,666,005,619,909,128,720,281,789,777,037,166,592,832,445,920,726,
612,071,925,464,594,893,010,610,372,726,399,559,529,873,603,282,944,800,320,
944,822,923,022,638,591,935,086,815,125,661,153,040,998,027,095,600,744,532,
957,179,208,132,862,389,312,648,126,130,847,518,978,808,920,868,317,292,702,
910,353,064,194,220,946,237,661,946,073,738,082,482,738,068,835,613,457,857,
795,256,534,582,211,251,236,533,586,947,323,610,728,539,022,613,297,922,701,
232,102,327,232,132,963,571,648,901,657,419,618,520,638,803,044,985,548,969,
890,372,317,232,312,782,131,957,098,787,853,802,681,793,182,788,217,035,769,
139,918,138,186,750,140,734,769,333,010,566,997,109,376,505,520,395,799,741,
628,210,472,218,862,727,289,668,027,500,006,750,368,242,307,811,522,144,591,
874,709,899,722,199,937,097,856,743,890,409,023,262,392,940,399,904,616,909,
231,189,496,469,242,693,835,086,682,930,478,546,450,113,554,710,947,106,365,
222,112,196,487,065,667,013,584,280,279,870,462,274,082,034,894,288,802,796,
336,747,058,729,160,864,612,778,419,668,008,393,187,576,580,519,540,657,116,
449,294,217,356,604,377,794,120,670,011,771,952,003,425,189,446,354,501,969,
377,541,344,488,611,298,822,282,623,051,659,997,300,666,148,306,075,215,452,
486,488,453,850,356,039,188,032,338,933,859,838,154,964,322,234,952,726,330,
943,968,172,464,855,502,195,141,925,129,624,234,989,260,449,073,855,100,071,
466,289,228,912,403,120,776,673,256,552,213,446,548,853,653,113,610,526,727,
101,297,571,786,637,717,726,831,001,730,861,208,067,220,702,259,842,771,820,
283,613,220,113,035,114,673,066,345,845,936,999,194,077,822,490,879,712,836,
916,979,567,307,868,609,064,770,322,088,038,109,844,212,873,469,693,149,093,
946,344,907,902,482,184,480,283,501,310,105,910,654,223,067,782,404,455,568,
239,789,246,622,094,200,853,685,362,846,438,172,868,518,265,742,369,294,622,
407,423,477,379,977,103,861,262,279,450,210,552,943,715,282,588,817,645,288,
407,258,315,273,124,379,507,135,098,010,352,586,735,412,912,278,451,629,269,
083,866,719,439,370,496,146,325,172,514,844,986,874,806,871,081,601,260,326,
458,796,497,428,175,925,330,446,447,877,301,633,606,661,460,698,662,360,575,
597,841,954,566,328,703,898,777,084,174,641,165,587,303,758,060,361,654,698,
926,068,507,241,519,235,913,166,921,536,050,133,136,180,867,378,347,969,937,
964,099,265,713,870,277,218,477,548,743,294,506,390,843,235,213,087,118,893,
376,834,764,037,558,283,911,926,939,010,820,305,974,623,119,570,037,408,018,
505,118,832,493,580,648,646,107,257,581,054,151,698,472,042,462,357,722,311,
394,263,955,389,115,831,262,669,405,894,331,160,470,614,144,890,485,009,451,
424,269,902,590,932,634,707,289,762,521,817,035,012,193,423,816,787,670,868,
522,604,312,600,036,899,878,613,873,614,476,259,354,706,157,988,601,352,407,
201,340,030,888,955,441,870,893,614,511,889,132,871,975,003,044,516,567,922,
784,292,651,421,274,877,810,247,453,523,487,218,881,257,349,543,191,088,574,
556,784,282,168,183,083,406,066,340,080,497,655,608,216,234,090,338,705,750,
821,661,225,159,771,844,174,952,331,811,415,836,827,243,214,213,720,077,317,
613,965,381,244,429,158,363,445,910,494,997,510,024,446,407,809,847,187,626,
260,730,657,859,369,868,014,484,768,134,018,261,665,268,109,172,469,703,732,
218,508,675,885,861,384,366,097,120,783,832,072,200,498,946,177,100,031,347,
590,416,075,092,937,346,498,510,549,643,720,473,448,452,025,273,656,368,085,
893,202,563,847,564,027,622,458,161,366,654,943,172,108,402,997,640,757,108,
135,763,634,919,813,479,461,972,413,678,691,075,266,500,155,084,015,017,054,
278,688,386,836,681,739,834,842,747,833,421,940,506,005,785,051,792,347,890,
964,225,198,958,982,598,846,665,739,052,075,792,158,138,082,099,871,094,386,
001,821,915,965,106,446,206,778,905,469,434,638,155,209,435,730,593,608,255,
123,053,529,915,997,878,186,235,402,072,227,598,867,314,524,854,990,749,875,
299,562,026,011,661,228,044,983,353,949,968,223,141,813,062,697,981,297,558,
676,356,735,526,875,460,175,851,357,121,173,274,748,716,375,957,541,734,436,
361,211,991,069,512,517,513,164,153,723,497,902,838,206,594,769,776,116,885,
546,292,556,462,268,757,295,879,434,419,350,421,354,776,882,904,996,262,044,
913,981,784,538,606,523,960,912,203,626,136,864,132,313,218,776,408,540,293,
146,329,078,885,278,848,648,558,625,958,682,563,190,677,639,225,479,920,241,
786,673,487,358,371,181,746,557,389,708,407,219,051,748,258,879,281,710,255,
551,662,923,647,552,684,814,870,831,496,173,676,754,048,989,722,544,194,783,
105,932,796,935,375,852,203,394,811,127,671,880,800,663,333,882,279,221,661,
746,399,151,570,967,260,814,314,343,564,195,462,822,513,678,845,655,579,824,
905,001,264,956,627,955,540,106,213,341,563,649,933,328,557,491,932,992,622,
762,151,783,299,390,856,285,336,732,226,503,096,443,648,529,481,724,305,397,
496,993,756,464,702,824,565,025,998,320,015,923,832,423,159,638,265,325,225,
096,661,789,191,514,448,100,756,712,740,094,663,432,462,482,140,535,050,501,
066,743,715,918,414,085,760,262,352,993,455,529,957,888,753,055,477,959,801,
073,000,923,902,031,929,005,187,756,335,463,321,944,056,234,026,451,375,935,
197,174,971,091,932,629,286,455,830,983,259,267,707,348,158,393,891,245,577,
337,977,234,667,858,566,788,700,200,131,313,249,273,833,950,102,244,561,864,
056,370,367,819,837,889,387,506,938,263,393,970,369,997,563,453,635,119,839,
567,899,253,292,289,065,182,927,402,674,475,008,746,524,364,895,253,808,936,
142,573,769,406,120,202,913,380,399,162,153,232,676,411,770,773,915,076,645,
833,999,620,222,657,169,685,241,668,492,333,990,653,137,690,841,717,242,685,
923,438,354,032,528,804,871,164,104,727,367,335,123,330,547,071,578,201,354,
049,904,473,911,464,339,135,755,944,463,855,535,269,244,246,601,388,876,717,
711,353,348,673,425,982,944,091,907,521,119,688,461,965,416,690,903,609,162,
827,016,118,827,545,973,129,107,514,909,366,716,633,414,709,026,261,032,618,
088,791,367,082,983,684,640,397,166,975,688,280,326,245,698,742,902,781,191,
891,878,582,870,345,482,431,189,680,880,247,537,870,941,236,858,916,821,617,
743,539,308,488,554,002,278,353,644,376,024,077,709,219,106,696,360,428,636,
832,494,157,871,652,930,978,606,769,993,882,741,578,077,038,280,195,079,719,
238,432,544,866,432,311,017,119,196,090,767,845,843,886,753,724,204,795,379,
302,398,458,648,343,374,061,247,036,968,917,821,198,811,156,875,866,159,533,
385,104,366,891,423,077,881,645,144,640,254,189,422,929,703,382,682,299,520,
837,351,488,879,142,986,469,301,426,282,053,755,383,899,550,581,760,371,770,
246,829,125,332,461,317,375,042,856,666,314,977,679,366,899,089,998,167,919,
350,782,100,568,956,470,035,632,963,066,781,804,197,213,918,203,680,947,586,
766,961,566,754,207,503,484,364,082,145,716,255,785,541,988,905,057,134,712,
887,149,775,273,139,478,072,988,142,396,836,461,159,792,038,320,290,659,677,
165,079,515,375,214,192,912,190,413,421,071,745,361,969,207,029,449,884,146,
384,894,520,496,546,590,827,487,469,258,408,333,767,893,704,658,615,495,444,
869,399,626,027,821,836,635,416,418,334,121,176,674,393,054,821,793,806,406,
510,379,442,091,475,581,518,394,766,799,783,029,750,544,408,623,088,312,609,
834,932,159,885,869,908,703,458,949,324,273,423,012,849,955,932,215,918,805,
470,237,754,553,558,945,162,546,481,943,583,617,202,444,966,221,587,574,857,
721,066,057,346,019,483,234,404,133,662,939,671,040,102,361,928,948,566,308,
545,223,452,869,555,289,621,111,828,880,660,705,598,083,464,323,382,411,824,
492,117,475,927,818,800,000,162,109,870,558,608,887,548,689,797,735,071,408,
376,776,335,687,982,036,600,824,883,949,921,198,562,691,911,822,482,590,416,
123,935,752,802,973,449,981,434,947,737,249,737,050,822,879,682,852,084,285,
611,291,609,762,854,165,477,194,502,203,401,375,848,390,158,293,402,041,954,
669,112,357,143,909,832,530,881,025,458,399,560,962,162,584,495,995,334,079,
853,536,961,210,660,821,612,323,839,697,211,175,425,305,036,883,964,479,427,
119,046,786,003,625,917,504,965,749,997,611,011,023,434,558,132,384,521,671,
117,018,631,729,902,231,809,983,439,266,822,446,706,947,420,799,473,275,965,
813,965,451,792,428,627,393,427,624,892,123,782,301,026,686,199,819,430,909,
850,133,521,905,764,773,352,978,868,338,398,070,214,172,218,837,158,478,564,
187,614,452,460,207,032,893,371,580,035,637,999,963,311,859,064,581,791,640,
740,503,235,193,430,024,553,917,992,180,819,997,683,144,189,437,023,554,702,
967,457,288,807,899,398,714,656,854,475,498,990,513,173,058,608,756,895,532,
369,480,665,889,240,157,712,613,141,651,791,661,675,377,108,179,239,850,863,
249,843,780,169,491,989,508,818,702,724,556,596,282,447,107,297,568,880,606,
305,025,053,939,531,615,925,355,440,264,438,501,244,719,410,821,804,089,841,
474,400,886,328,337,594,688,575,170,048,646,347,673,892,554,847,586,274,088,
332,110,032,588,075,682,062,244,545,108,021,004,840,099,721,710,407,034,537,
987,659,557,172,735,336,722,549,062,465,647,487,856,625,624,617,197,541,899,
611,244,580,240,619,578,479,822,171,669,899,718,237,886,027,901,402,408,725,
764,622,146,912,988,388,856,016,099,781,836,517,567,586,430,585,234,945,843,
572,566,281,093,048,769,907,512,608,727,870,919,050,126,365,694,832,482,525,
071,029,186,292,126,293,026,464,563,120,302,300,947,902,229,523,712,824,349,
121,591,901,360,911,035,528,028,391,617,151,943,757,701,016,550,981,682,685,
055,209,263,380,555,613,405,504,715,227,741,702,219,490,697,022,044,795,527,
770,057,266,519,400,090,333,442,348,087,709,139,339,193,393,187,361,575,362,
636,809,012,341,048,048,359,796,103,329,010,036,178,848,853,221,458,586,419,
122,033,877,170,936,643,745,357,107,991,386,357,605,298,724,508,059,918,662,
033,311,201,484,251,204,956,757,789,968,885,774,908,047,672,598,038,307,447,
777,171,590,669,093,804,611,246,626,520,773,402,942,635,696,275,263,367,922,
269,286,608,365,858,510,426,378,838,495,072,108,314,252,767,249,383,430,885,
153,442,502,807,083,903,538,812,674,577,277,465,671,974,427,040,689,142,194,
797,130,761,771,463,530,794,153,882,792,372,767,500,379,774,798,675,310,348,
948,029,027,389,018,126,527,442,105,414,581,323,525,793,343,068,007,756,977,
500,450,649,188,965,064,275,772,079,847,678,205,397,372,471,961,974,927,785,
926,413,502,558,964,563,373,948,589,182,399,690,550,726,486,844,779,508,192,
364,723,338,256,960,246,222,101,622,222,198,706,768,220,741,357,623,612,955,
494,697,459,264,792,473,392,949,246,311,754,330,418,086,420,237,501,109,910,
115,943,261,795,126,542,346,538,399,961,033,428,964,747,810,780,166,421,915,
832,878,678,436,874,935,280,054,509,654,358,933,195,612,127,321,486,257,164,
284,192,982,633,079,525,014,567,926,798,169,182,727,710,311,904,819,120,087,
907,943,804,520,963,017,478,527,440,756,628,874,421,685,001,698,807,726,121,
307,287,720,138,396,121,339,745,072,663,103,368,608,814,443,344,731,128,935,
097,759,605,630,645,833,001,322,164,950,675,338,999,278,753,009,459,357,328,
476,743,911,116,113,301,928,009,912,310,950,789,080,496,811,434,283,945,762,
181,587,793,484,956,177,015,870,165,235,904,995,140,265,926,515,199,302,231,
380,497,939,577,466,273,865,024,640,948,122,527,749,700,460,578,744,567,846,
486,363,024,845,779,712,962,852,743,313,728,376,839,584,795,704,874,391,519,
610,619,265,006,866,968,233,691,253,087,750,352,305,224,331,677,901,687,725,
837,869,792,203,253,649,958,333,877,460,436,739,017,004,016,305,581,037,562,
901,901,693,970,600,360,859,381,723,626,278,019,540,056,668,813,711,969,437,
563,463,074,997,607,835,008,623,673,401,140,250,326,108,773,645,732,534,255,
493,621,108,399,003,518,166,774,834,470,631,728,222,419,354,349,796,041,691,
498,931,065,572,680,099,354,325,888,219,818,515,164,168,180,061,737,595,968,
327,353,327,226,532,609,377,088,652,558,663,753,970,870,690,937,293,127,149,
705,061,525,571,792,977,413,780,537,777,946,880,202,063,548,155,968,291,035,
405,832,726,051,198,812,282,839,535,040,620,466,788,221,871,676,001,819,913,
368,527,241,741,230,394,656,727,226,290,011,332,981,196,890,026,028,686,129,
685,999,715,443,020,911,320,319,037,369,705,458,356,640,589,406,532,634,872,
140,742,316,857,593,117,971,451,893,075,180,254,688,643,584,224,213,081,601,
320,320,886,973,035,036,779,267,311,148,011,936,191,003,594,580,941,376,968,
320,650,698,147,146,697,624,108,010,011,229,432,525,223,939,612,759,558,169,
005,673,446,462,489,415,404,190,204,484,880,898,502,340,333,215,760,795,655,
264,174,029,718,584,255,885,584,934,667,562,191,071,675,014,039,094,438,458,
155,184,820,659,021,816,210,482,629,695,643,946,889,047,963,870,153,451,691,
841,095,326,462,785,969,895,272,013,287,842,164,786,936,334,522,415,261,882,
604,061,598,313,541,795,755,465,668,826,266,865,268,840,973,360,295,165,901,
705,894,648,026,547,940,085,651,064,465,978,247,161,647,153,108,825,090,789,
382,325,784,149,591,786,046,619,196,911,675,362,915,946,581,465,890,115,577,
768,277,484,393,712,201,424,914,698,719,723,072,549,043,126,042,519,846,150,
594,840,095,535,243,514,913,147,908,441,962,637,234,233,622,419,677,031,077,
243,338,157,718,090,608,279,992,338,593,363,261,801,770,238,433,499,865,614,
558,899,282,493,988,116,957,975,775,410,335,285,027,157,110,943,854,713,653,
022,742,685,625,223,776,534,193,459,696,584,519,652,110,389,353,121,600,375,
153,229,757,342,894,185,815,971,680,518,016,586,483,875,873,862,187,370,612,
250,481,245,349,731,840,918,068,225,035,686,779,774,601,281,752,294,638,771,
074,193,442,143,875,355,085,790,462,945,820,042,363,193,824,534,107,282,798,
536,224,057,709,765,926,688,835,207,946,752,940,003,387,601,852,351,935,184,
198,174,346,102,820,390,648,238,758,037,375,662,642,198,199,887,464,447,684,
757,456,983,261,740,452,567,415,649,208,191,369,516,603,482,034,642,676,734,
066,497,144,379,700,246,448,626,528,495,428,943,216,719,511,077,459,454,725,
840,342,931,116,706,038,466,372,778,389,020,984,372,268,337,015,477,247,685,
477,980,966,648,462,400,094,449,925,163,844,201,680,305,230,930,630,033,076,
260,579,669,175,091,338,653,047,742,964,729,959,260,703,018,220,854,978,921,
826,880,998,366,424,951,761,104,646,250,023,549,305,893,954,231,809,684,395,
371,547,102,977,346,826,398,844,813,976,629,359,144,446,449,308,325,351,833,
591,571,322,799,536,437,350,525,977,064,044,195,448,467,281,898,668,794,850,
223,666,991,675,234,784,723,024,532,190,578,845,578,000,222,785,057,405,057,
643,696,564,560,890,957,063,767,251,002,301,737,999,692,797,731,157,551,220,
452,912,248,546,412,834,815,161,394,872,568,787,538,896,282,722,290,990,623,
342,852,007,362,301,297,316,265,849,595,590,941,231,928,920,544,286,629,034,
910,383,000,159,444,731,333,745,104,304,767,012,118,647,012,139,190,220,744,
007,773,150,884,470,222,024,315,916,651,036,879,735,295,159,579,523,982,608,
810,297,590,458,165,356,038,888,943,248,903,071,173,510,365,417,756,450,153,
127,028,213,920,919,118,128,041,345,024,275,319,484,217,673,320,087,340,893,
755,065,808,536,534,691,124,265,373,447,574,404,267,962,916,414,454,983,788,
011,380,591,230,848,491,180,353,711,000,469,531,444,566,783,759,889,833,380,
228,566,395,478,880,076,056,746,037,880,198,029,044,694,540,526,878,569,794,
612,217,181,623,788,848,988,279,565,728,650,742,716,581,511,826,273,509,412,
100,070,998,336,304,077,387,171,505,700,634,097,827,497,236,244,226,154,620,
833,380,916,382,781,205,568,475,266,980,256,514,315,662,880,912,086,389,041,
201,974,466,059,220,048,305,799,114,992,459,626,132,587,788,746,777,478,428,
916,838,116,733,606,387,494,779,011,219,688,657,437,519,761,547,044,841,586,
436,827,558,441,444,562,075,116,149,347,594,209,683,299,158,134,699,840,137,
561,316,082,536,922,291,418,151,827,561,212,394,540,332,203,555,054,300,968,
031,625,956,094,494,314,080,215,620,352,156,510,650,715,934,786,639,653,918,
697,211,678,868,138,142,358,033,354,506,405,650,113,858,555,468,009,156,884,
182,859,318,804,846,921,831,630,351,599,678,024,933,000,123,521,633,445,221,
918,690,638,622,034,096,029,894,800,447,296,189,649,758,111,624,715,175,724,
580,968,417,287,538,687,208,547,162,713,977,000,639,966,878,520,568,818,075,
640,911,737,640,073,855,341,620,203,976,534,493,094,354,155,996,175,318,861,
712,827,429,431,299,627,207,726,442,417,921,037,345,084,291,897,828,954,584,
739,327,435,830,622,188,019,225,396,416,851,906,770,069,106,472,694,933,407,
898,040,272,981,513,576,297,962,614,305,236,395,562,195,518,778,217,210,503,
842,191,012,530,898,418,713,834,348,219,829,072,758,770,262,036,603,030,708,
820,677,493,227,067,956,916,706,229,691,275,603,085,789,807,847,550,079,418,
627,188,330,721,540,572,147,825,829,464,725,539,657,122,660,590,362,064,768,
350,009,401,671,459,221,213,761,045,574,120,251,156,433,905,269,212,708,955,
861,985,041,198,402,705,601,688,025,584,804,071,174,166,855,219,282,094,330,
181,034,878,438,440,073,068,394,266,346,408,044,793,208,017,960,698,817,080,
840,749,258,529,681,492,095,429,811,055,455,326,956,535,787,208,781,273,806,
352,563,069,725,120,220,962,957,772,941,326,605,668,352,251,396,697,175,289,
961,116,680,674,569,043,079,033,519,009,852,182,551,590,063,790,835,901,853,
507,601,564,210,532,560,479,597,977,014,309,818,103,664,165,571,040,782,910,
769,254,443,734,625,029,832,917,096,657,655,699,774,449,560,042,452,953,830,
778,103,032,076,927,050,552,113,619,357,202,700,150,960,905,054,406,026,248,
197,546,914,423,242,737,297,387,215,250,751,154,859,553,051,434,055,321,459,
553,729,535,981,056,434,115,596,192,850,289,512,308,050,480,354,218,389,450,
457,644,344,531,011,342,419,187,029,731,956,382,320,001,231,360,857,463,580,
883,825,942,188,281,616,701,776,441,556,036,773,519,163,347,616,939,819,119,
365,483,702,459,149,977,445,277,565,240,774,982,184,329,776,928,633,114,635,
072,946,522,486,662,721,115,704,135,619,102,357,229,836,817,286,323,575,612,
485,429,711,710,450,570,078,107,002,814,369,216,726,826,866,737,227,390,151,
754,440,875,549,601,062,495,418,870,855,448,602,299,009,915,026,055,092,468,
978,482,141,947,717,962,957,853,812,028,802,839,191,914,017,489,620,548,850,
431,744,229,614,348,330,828,919,092,441,962,217,291,486,523,829,618,481,648,
391,601,978,311,957,637,430,743,574,405,269,438,251,530,728,369,409,202,878,
218,684,924,808,276,467,815,924,946,240,081,238,572,572,276,910,143,502,453,
044,832,678,000,056,891,338,215,115,790,122,097,086,906,937,551,630,349,221,
033,330,763,311,884,865,266,660,211,234,317,965,911,405,821,767,340,694,023,
036,969,987,523,905,225,712,406,467,121,724,521,007,704,567,800,602,831,271,
303,433,050,220,648,094,672,096,259,301,521,539,590,855,021,424,521,952,498,
829,255,927,608,364,638,190,737,269,680,205,974,011,975,366,335,903,347,569,
210,325,084,515,966,628,141,058,726,109,344,228,833,695,276,312,486,774,256,
958,699,294,767,244,123,506,616,861,013,524,887,772,935,007,748,864,331,073,
569,187,192,387,716,595,403,418,615,764,329,925,380,685,715,240,462,221,241,
531,140,289,168,916,949,748,583,659,159,492,384,637,091,967,620,301,870,751,
264,159,540,219,843,220,577,235,201,790,351,468,359,065,249,961,305,802,491,
757,425,320,963,844,427,579,259,932,756,542,972,829,712,488,740,046,777,087,
776,249,850,619,809,115,333,251,833,221,906,215,955,663,526,757,834,980,402,
003,912,505,074,534,977,650,961,542,550,785,607,047,766,359,690,953,529,965,
002,241,430,760,710,400,190,105,997,771,232,970,884,854,522,535,679,765,323,
740,464,643,970,395,451,731,702,790,937,235,813,321,315,744,191,459,416,462,
404,580,879,534,353,268,444,453,476,122,414,017,098,826,122,031,070,399,280,
160,752,586,793,481,353,739,944,212,289,295,530,100,960,252,061,870,492,751,
778,810,189,818,235,733,050,291,478,796,630,112,286,463,402,156,470,733,731,
009,123,196,343,555,222,524,029,347,443,798,401,758,972,432,149,868,654,236,
031,275,146,009,548,150,824,838,600,483,698,611,494,562,727,571,658,807,303,
662,853,001,244,711,991,758,845,023,224,100,663,360,171,611,099,473,383,304,
618,548,765,771,863,561,149,507,079,265,092,988,676,811,555,493,676,673,336,
650,922,070,805,082,147,763,160,614,653,490,807,899,098,099,862,200,132,590,
906,232,162,588,905,240,965,860,004,929,898,914,188,867,583,050,685,938,988,
104,660,138,968,535,974,444,284,242,651,208,607,759,288,799,994,438,241,327,
981,781,876,943,303,134,963,889,859,652,339,537,816,611,863,612,992,835,196,
909,680,329,261,928,507,073,706,745,021,975,925,640,277,401,502,812,393,618,
838,060,325,669,275,401,066,025,569,211,260,540,627,857,446,150,752,794,829,
787,914,046,066,272,438,111,012,997,135,981,591,478,057,488,537,858,392,985,
481,464,389,621,541,289,030,079,609,336,601,404,083,992,901,086,697,177,902,
814,389,065,529,652,118,534,082,859,304,090,078,451,504,321,755,490,193,133,
233,149,331,949,755,010,881,313,029,116,147,584,856,238,595,758,610,832,650,
272,518,480,716,972,133,148,987,950,606,039,298,677,046,135,769,680,787,292,
396,231,874,237,025,592,847,631,909,954,961,047,901,398,113,492,829,365,756,
621,834,356,141,505,403,408,051,672,303,716,648,158,279,178,331,715,773,864,
009,343,625,673,447,045,695,609,726,628,584,971,822,848,695,244,471,663,669,
006,052,422,204,353,578,638,023,191,651,927,534,586,637,753,433,364,008,658,
689,631,190,014,535,916,775,873,938,840,380,993,268,010,282,629,370,239,812,
503,720,459,313,135,144,769,979,439,604,289,928,800,409,111,706,031,758,120,
395,098,733,735,404,020,218,254,459,205,207,659,525,445,667,042,988,345,410,
011,657,420,989,694,006,533,591,209,274,547,254,659,642,082,868,992,256,531,
173,638,010,301,124,675,941,486,810,785,763,322,056,282,226,671,007,131,083,
582,718,275,140,002,732,020,839,478,813,704,168,565,336,545,780,164,890,517,
018,478,256,316,396,966,165,327,679,416,410,036,690,146,396,341,156,636,554,
137,053,943,441,883,074,408,997,684,731,581,617,451,638,407,963,801,741,751,
262,224,563,006,228,796,712,128,659,815,040,262,064,316,698,138,828,884,528,
715,574,710,570,444,568,753,243,528,622,715,605,290,978,033,981,018,371,160,
689,347,005,248,087,674,756,962,946,176,660,625,895,628,233,882,360,241,394,
297,141,164,502,131,526,581,433,031,148,765,356,351,549,805,956,095,496,045,
900,480,920,746,210,211,230,482,278,887,203,824,394,562,678,844,570,094,238,
310,160,338,298,535,523,944,877,449,272,142,828,711,958,646,839,912,472,784,
166,841,426,120,859,156,232,265,831,871,434,549,315,280,434,767,300,223,619,
069,606,615,389,994,816,559,913,405,535,803,316,421,286,521,921,341,725,703,
527,510,360,519,128,542,115,363,855,682,854,653,821,992,848,481,077,815,971,
745,983,757,947,291,428,606,067,454,420,827,414,444,785,808,522,782,689,144,
754,933,422,736,564,766,263,929,629,728,576,883,375,209,535,607,903,054,110,
299,511,746,242,115,429,037,670,125,802,550,199,018,360,977,587,942,894,013,
638,983,320,591,419,594,539,597,748,310,502,310,865,180,695,031,968,587,360,
547,253,620,783,455,320,904,119,665,067,451,735,795,531,268,808,288,226,073,
793,800,312,634,467,384,816,881,588,848,779,489,715,145,395,015,173,708,088,
384,761,017,845,311,094,113,261,824,949,516,153,738,590,329,354,198,221,105,
913,997,542,172,438,113,406,140,566,911,815,506,650,128,308,976,596,036,062,
982,925,352,835,222,784,029,354,138,626,981,476,024,180,367,344,830,612,523,
722,023,788,818,340,466,427,050,941,797,421,951,771,559,500,354,087,781,629,
036,758,394,828,207,708,465,776,483,627,654,924,795,872,995,528,111,317,894,
405,726,435,240,166,630,986,327,317,357,429,882,821,640,276,135,288,490,100,
717,952,855,689,290,982,181,473,934,226,135,628,183,264,630,467,227,481,398,
477,389,710,814,296,768,831,334,073,648,752,304,521,424,160,490,268,537,384,
915,317,643,959,340,099,872,569,881,479,937,772,533,366,449,958,340,731,406,
872,792,357,050,515,492,768,450,096,334,039,109,627,842,440,394,297,215,827,
556,467,579,921,310,568,876,549,345,016,119,252,144,348,607,219,350,092,189,
693,206,754,536,195,964,982,198,835,251,401,831,104,475,820,714,546,559,469,
812,474,259,878,547,354,808,133,616,260,584,315,851,311,626,582,437,257,049,
671,619,248,081,218,151,691,608,916,388,088,322,273,947,143,249,451,886,893,
575,647,877,049,530,440,972,969,611,658,026,002,091,097,660,410,647,134,821,
931,391,271,771,396,805,586,350,501,578,777,972,429,353,234,834,346,411,337,
623,723,029,368,605,093,986,864,535,806,959,690,695,391,833,522,393,173,229,
493,088,617,879,495,794,846,869,213,573,714,357,040,128,249,143,218,485,512,
153,640,560,850,820,670,436,474,045,327,452,920,296,369,709,376,255,860,352,
230,475,191,501,355,725,128,123,080,293,094,587,735,010,897,758,426,518,914,
913,134,007,683,468,974,591,098,296,490,907,363,713,624,215,936,244,836,818,
354,000,390,658,569,222,697,021,972,366,565,297,213,486,350,159,818,065,562,
148,165,943,902,524,963,260,518,085,659,791,701,731,086,943,618,162,969,565,
803,906,349,114,236,937,191,858,252,252,941,278,248,571,525,528,266,584,164,
427,587,416,112,745,056,220,660,229,133,011,140,452,908,898,120,301,643,173,
007,280,655,611,731,339,390,917,128,467,215,859,602,532,713,209,110,188,481,
490,751,280,538,535,831,555,153,585,401,320,306,342,264,683,634,228,730,460,
749,396,258,625,800,864,031,572,354,548,282,805,558,224,290,825,548,680,723,
892,334,102,721,042,345,423,335,902,131,731,375,069,112,588,040,374,182,625,
311,552,494,668,079,111,282,940,785,795,500,709,607,336,598,196,646,806,757,
366,017,620,953,080,496,196,188,503,518,209,387,423,623,802,274,809,521,907,
856,175,900,370,202,538,155,278,920,500,872,276,529,362,092,322,661,049,924,
666,109,361,465,040,625,978,118,383,920,111,841,782,355,645,974,220,179,417,
949,121,232,057,676,518,366,782,856,572,853,474,660,696,272,357,620,114,264,
100,081,989,091,391,825,476,853,691,482,032,692,360,882,393,361,714,028,203,
317,953,249,302,091,120,476,915,267,355,305,946,903,853,091,146,672,475,245,
371,663,802,324,776,418,418,411,479,046,223,383,640,629,788,989,830,974,598,
231,877,961,302,424,791,060,356,927,163,636,710,577,503,560,097,374,106,323,
554,305,306,406,876,255,155,805,381,728,943,970,029,478,435,330,163,656,422,
503,103,249,537,100,126,694,535,601,054,576,029,071,201,456,240,946,424,180,
931,171,945,085,971,598,952,817,101,816,423,453,952,951,028,436,918,533,955,
047,410,844,025,822,604,379,846,833,840,258,040,829,034,009,993,448,612,801,
137,186,076,966,165,784,980,098,978,117,736,895,805,011,101,813,793,759,593,
906,580,314,406,036,867,119,603,056,926,261,109,456,981,097,436,633,123,357,
538,888,126,288,565,936,765,808,888,061,869,965,285,292,798,941,796,803,621,
495,310,833,286,133,314,041,880,082,392,463,989,423,305,276,680,889,672,759,
932,257,069,676,299,173,682,564,183,299,888,846,801,782,532,648,329,728,381,
599,957,596,746,447,154,494,580,345,463,719,925,594,007,244,987,535,682,623,
729,181,749,808,364,879,970,207,371,871,670,060,737,246,133,314,470,751,754,
683,110,244,681,427,645,020,188,579,485,708,050,383,406,825,381,984,377,315,
904,693,015,261,958,097,201,735,291,063,939,778,873,255,407,060,414,634,858,
282,654,160,571,695,140,650,016,643,390,335,636,956,505,843,242,443,313,724,
316,315,696,685,284,047,657,794,779,763,000,518,367,230,297,267,586,188,746,
620,904,402,610,513,281,929,041,076,152,272,474,175,603,425,740,191,670,550,
391,398,813,314,911,308,733,013,330,181,820,954,757,800,944,623,798,635,544,
031,526,618,273,621,810,245,628,486,533,559,748,088,464,035,907,253,099,812,
141,851,465,505,715,854,873,576,751,825,526,726,154,552,743,471,393,855,087,
345,951,308,582,378,801,809,495,781,112,614,393,291,922,168,571,339,095,970,
174,301,156,031,600,995,345,140,009,515,145,897,074,322,496,803,156,133,221,
730,423,115,920,507,462,674,531,362,191,508,586,157,445,099,197,063,869,270,
315,912,775,345,641,532,083,019,251,160,434,380,738,986,420,554,537,519,067,
645,179,856,958,301,785,899,182,930,470,405,529,817,132,962,932,492,436,599,
650,467,516,862,488,678,384,393,818,469,689,249,296,984,746,607,374,826,346,
760,717,073,103,002,323,075,009,209,702,169,805,524,935,688,363,718,230,578,
011,410,100,756,529,669,403,877,264,726,861,479,237,940,525,857,294,183,437,
721,023,328,361,100,138,726,907,292,973,753,255,939,001,513,368,683,875,718,
515,677,554,623,520,415,403,580,109,649,320,322,393,034,048,923,466,248,461,
032,877,668,345,580,408,494,680,002,713,111,237,073,373,334,014,334,271,375,
980,791,599,473,499,676,955,790,711,391,371,133,550,929,524,013,072,888,194,
730,238,814,508,513,069,077,503,670,470,764,708,368,185,743,929,575,888,296,
951,459,817,037,487,099,938,121,206,026,763,107,867,164,227,566,605,998,688,
250,764,612,892,446,507,060,307,015,867,756,088,768,926,070,953,939,890,631,
649,102,352,482,810,364,951,172,093,079,262,354,421,550,043,761,355,318,211,
690,203,607,949,448,921,871,205,179,629,850,772,394,123,081,069,315,929,213,
431,269,864,334,878,238,968,467,531,083,622,404,439,662,152,308,456,319,649,
439,201,605,065,186,293,111,725,084,111,968,436,639,263,467,114,761,556,582,
727,568,349,881,917,370,032,167,227,360,402,313,857,472,846,919,311,461,964,
320,733,464,537,178,596,866,605,750,974,887,430,018,122,996,555,275,330,911,
883,291,176,932,511,988,822,709,203,271,343,515,525,314,476,196,480,270,564,
553,656,505,814,271,000,889,413,510,963,349,778,422,964,082,934,222,798,522,
909,364,375,591,657,334,178,101,590,358,947,958,166,915,624,226,236,776,065,
487,548,588,500,749,038,615,015,233,417,461,347,073,723,234,844,076,155,552,
537,727,408,834,558,642,006,084,399,641,784,868,730,637,207,666,080,407,536,
008,383,863,495,377,839,467,922,419,833,916,674,304,517,487,727,157,154,691,
446,167,172,551,481,145,060,849,374,716,455,533,060,000,902,250,329,287,357,
409,288,664,582,374,412,707,066,762,115,147,831,630,087,181,083,436,611,617,
595,646,889,456,009,976,932,450,545,765,928,688,731,625,472,650,046,745,370,
503,413,734,919,109,936,127,744,671,857,450,666,213,845,498,870,940,841,465,
092,120,628,135,066,588,437,242,766,634,236,881,969,828,132,465,967,967,179,
972,991,829,745,522,787,403,017,721,871,888,657,924,393,275,469,105,216,325,
855,296,264,380,110,607,860,820,776,716,231,192,364,861,611,262,972,069,476,
631,519,271,413,791,151,707,119,732,714,127,942,137,371,215,509,155,800,332,
772,639,477,583,382,573,478,540,826,848,536,133,613,764,585,346,211,572,790,
885,737,124,214,518,567,071,506,207,969,882,070,472,495,766,198,823,365,329,
135,850,808,580,803,089,326,002,810,753,797,263,876,626,108,081,723,692,396,
581,336,706,433,474,253,731,182,974,079,908,930,418,084,521,531,924,091,465,
351,247,837,415,540,070,062,617,552,696,449,634,517,093,574,726,422,096,422,
491,945,328,033,265,739,268,485,292,963,942,567,797,962,740,535,370,076,480,
994,458,772,924,472,495,123,425,837,559,300,512,925,331,369,890,058,038,026,
438,390,538,188,015,620,744,056,777,302,012,718,576,218,454,505,368,478,726,
158,926,466,850,884,271,573,515,096,676,318,291,169,537,761,816,233,570,606,
363,597,259,006,514,420,990,334,569,525,569,818,344,665,995,004,514,889,759,
408,533,399,416,077,680,077,876,920,715,190,023,168,008,014,445,167,569,702,
068,211,516,429,419,454,010,790,890,305,644,990,826,825,394,884,547,175,826,
403,008,142,112,301,432,784,238,435,210,503,971,608,461,704,605,725,751,367,
843,247,831,353,634,680,907,386,695,389,679,925,205,132,932,002,139,523,374,
252,409,340,384,751,593,081,940,113,457,797,417,084,719,352,741,318,347,142,
159,035,623,201,096,450,407,493,864,543,459,455,963,808,665,800,184,694,270,
941,725,387,952,944,704,174,168,376,293,050,413,914,364,348,297,551,312,572,
876,388,611,701,221,770,837,870,451,222,696,498,117,145,965,638,037,117,052,
636,135,021,933,093,238,378,645,915,842,450,230,018,434,016,668,567,741,292,
680,760,984,292,593,303,342,269,351,491,914,958,116,771,920,260,109,362,573,
908,446,636,193,187,453,186,613,980,686,781,079,679,620,742,580,474,528,894,
060,615,935,195,285,810,179,020,853,358,876,043,026,870,426,894,373,313,094,
305,147,704,721,675,749,688,027,182,676,225,967,149,913,577,010,959,421,690,
504,324,211,066,906,312,587,028,001,922,886,478,691,753,911,707,698,019,327,
097,689,626,079,352,233,276,758,838,800,530,851,027,402,304,420,448,880,923,
972,635,107,091,357,895,017,394,805,126,318,055,838,215,727,520,248,816,362,
824,715,927,619,379,825,058,651,685,420,505,405,767,152,130,872,167,113,937,
867,981,817,112,601,722,096,030,050,979,041,318,458,773,590,912,134,791,786,
397,300,922,721,845,142,827,777,416,808,617,447,990,437,560,431,424,358,442,
851,698,769,032,813,261,154,523,421,542,229,347,329,776,375,677,256,729,734,
196,071,513,320,545,468,436,903,946,932,651,143,989,668,553,639,663,918,122,
943,607,711,535,092,575,340,908,108,067,799,657,345,603,462,843,813,905,823,
422,701,322,799,607,809,161,107,795,758,700,473,971,439,954,680,209,243,421,
901,272,409,250,623,668,654,768,293,838,369,154,138,388,191,285,907,461,290,
886,920,779,041,466,945,371,121,692,029,155,039,734,689,335,369,464,684,026,
502,719,737,497,272,514,491,012,964,078,640,475,872,036,939,280,394,107,647,
062,186,733,062,631,129,708,491,024,805,124,978,566,937,075,244,803,985,928,
722,222,932,015,763,674,432,394,445,953,218,063,893,825,690,303,226,406,845,
642,639,373,210,163,270,954,829,634,120,792,761,139,060,814,429,040,035,604,
210,445,817,788,639,328,296,832,758,604,620,398,532,062,784,108,420,094,305,
956,113,077,995,867,886,153,430,783,378,897,512,603,126,150,057,410,581,833,
912,969,128,010,632,526,078,950,313,664,690,043,974,399,337,802,223,485,778,
907,080,325,591,045,132,213,261,715,514,789,586,506,380,348,476,478,694,616,
024,007,052,236,294,028,138,601,195,271,414,839,606,468,960,815,234,401,403,
968,203,572,102,116,391,056,472,867,405,690,451,882,399,192,089,807,639,779,
788,673,010,853,452,135,361,969,505,080,247,618,473,256,825,374,195,732,556,
023,892,425,477,603,443,516,705,536,688,614,727,862,234,182,173,232,072,410,
186,964,656,519,995,956,121,865,339,752,723,608,153,327,282,176,965,599,657,
345,906,720,369,282,985,047,571,333,475,093,244,031,171,496,728,058,088,786,
242,995,918,324,881,726,852,106,395,732,423,846,569,989,899,635,980,942,847,
787,615,160,391,064,185,243,836,042,610,256,843,583,307,339,572,320,005,435,
453,567,399,047,088,461,099,255,720,767,278,988,870,291,386,025,272,591,151,
166,500,880,413,198,000,454,617,791,046,276,154,511,322,575,680,930,848,845,
572,557,722,918,330,130,884,236,760,454,382,663,416,101,025,060,531,603,801,
797,449,506,108,461,549,903,959,810,857,415,779,449,272,275,201,158,681,784,
048,197,105,206,679,157,754,154,027,053,573,943,864,793,623,567,065,298,390,
625,458,840,386,105,507,307,009,822,180,714,399,207,779,166,465,243,299,482,
801,139,999,060,888,467,598,843,218,656,995,716,714,163,914,204,806,058,251,
190,941,432,022,181,243,657,221,853,576,040,311,197,215,480,857,909,594,575,
491,478,149,352,006,317,267,480,643,408,128,481,263,368,488,994,716,378,263,
022,170,071,485,415,668,642,967,616,167,426,669,920,752,043,148,692,761,634,
976,491,495,005,579,777,080,185,554,556,084,918,838,106,634,882,975,406,611,
552,496,301,206,723,719,341,510,973,914,199,325,788,851,917,210,035,542,033,
027,804,362,408,658,806,312,184,587,453,830,619,635,414,758,883,474,369,381,
209,151,108,601,117,573,341,492,821,539,052,107,175,036,585,025,226,961,711,
288,520,319,052,863,973,935,971,468,832,751,277,839,134,620,481,742,884,822,
592,159,132,685,408,480,925,626,913,420,795,045,266,564,430,031,520,364,287,
523,956,759,912,515,596,206,289,339,011,983,094,812,184,148,908,261,384,530,
596,811,841,851,803,427,452,454,861,977,505,885,020,693,804,521,464,386,041,
880,731,447,078,031,533,599,378,066,306,025,256,735,717,972,730,325,132,545,
055,708,449,864,574,435,839,095,438,277,755,631,885,068,448,081,471,024,089,
128,334,293,654,790,601,645,097,858,489,250,430,211,996,706,598,200,675,142,
451,660,607,824,225,941,006,780,391,139,496,443,662,190,393,131,753,942,729,
859,192,998,524,197,500,184,189,913,988,053,935,897,202,747,218,523,889,664,
798,988,044,677,157,658,459,151,840,162,604,735,088,258,918,610,586,062,244,
414,971,760,831,548,487,470,849,355,744,887,974,727,977,276,252,267,584,537,
026,723,652,587,729,557,163,967,651,395,133,465,051,200,548,527,438,063,991,
026,657,964,800,844,824,236,025,299,091,795,518,956,505,228,674,990,100,046,
607,694,731,040,026,605,197,843,663,154,090,228,623,413,735,507,770,102,320,
509,143,562,395,827,723,794,756,545,091,483,140,738,783,263,203,370,784,048,
627,965,104,586,794,624,737,092,424,905,838,458,481,962,279,824,606,865,995,
476,878,399,777,252,365,455,120,146,820,007,992,015,441,732,055,462,206,177,
148,096,424,746,989,493,256,014,772,420,331,116,096,874,838,045,626,191,008,
008,427,536,003,037,195,839,343,840,842,621,490,572,794,215,750,138,709,644,
156,505,954,634,425,680,922,668,434,253,302,831,474,472,068,874,116,972,292,
484,106,400,058,635,541,484,437,485,173,757,581,075,574,135,818,452,715,998,
920,187,789,054,266,997,625,863,165,609,617,286,154,865,472,529,237,165,358,
350,333,530,199,382,368,881,996,366,494,057,180,015,488,724,123,712,367,063,
630,019,776,314,539,562,967,052,604,593,380,436,240,080,870,226,257,427,545,
681,974,185,559,691,651,732,838,444,823,412,343,700,560,947,057,987,268,764,
879,352,401,189,905,479,424,897,951,020,908,723,924,947,082,719,840,724,127,
083,786,172,074,464,974,320,649,213,155,132,416,320,378,111,644,787,171,266,
252,164,879,250,473,397,434,978,618,889,807,191,176,512,622,632,372,699,423,
564,253,957,008,227,547,427,545,059,509,496,183,663,243,485,253,936,815,341,
690,545,634,966,312,152,161,271,666,900,766,258,817,319,359,347,451,100,416,
909,798,970,799,343,326,519,691,303,584,278,072,943,548,375,287,973,384,661,
530,082,726,769,587,205,166,914,802,083,076,324,428,082,724,507,974,771,006,
040,919,805,412,572,669,192,784,212,666,949,378,683,139,266,470,144,958,485,
708,726,958,596,605,213,075,781,365,577,424,282,663,858,437,919,812,994,475,
297,745,142,653,805,256,285,611,323,388,018,146,579,596,456,544,022,456,310,
924,110,592,181,567,863,466,495,634,511,701,650,178,369,554,949,995,555,727,
846,172,096,297,006,013,342,526,357,253,324,892,194,312,258,110,413,385,501,
646,382,467,861,473,164,121,099,723,140,964,246,832,755,033,417,278,857,160,
797,062,147,634,972,557,540,748,327,386,205,610,917,871,622,588,052,316,170,
281,140,065,188,502,295,878,289,301,742,561,246,168,346,723,905,876,507,842,
500,939,420,616,002,266,532,909,515,414,279,446,471,832,763,898,827,848,038,
391,584,954,770,793,489,617,718,014,676,034,102,223,985,248,667,382,614,657,
517,229,453,793,965,396,065,754,416,379,315,033,290,077,972,667,297,608,802,
627,089,219,786,933,787,403,024,445,895,048,128,091,498,254,373,890,159,099,
614,646,868,511,978,091,847,467,517,957,398,969,025,024,131,867,549,260,401,
142,207,372,972,795,045,791,166,963,505,966,001,971,514,333,926,468,859,189,
796,414,098,775,649,823,820,035,962,004,156,470,885,705,065,958,265,441,622,
575,969,767,729,107,489,908,845,274,302,670,752,535,423,052,517,863,358,064,
951,044,440,013,534,716,881,083,350,333,167,444,878,360,765,978,667,081,011,
299,950,469,853,938,286,079,028,092,880,184,600,533,462,389,745,334,277,032,
022,525,880,012,256,769,736,720,335,982,196,289,225,913,140,760,045,270,978,
875,118,269,865,064,082,784,725,104,055,101,977,486,292,378,662,631,279,600,
717,075,147,444,518,619,615,608,105,919,518,748,394,550,841,951,509,558,005,
101,097,957,538,550,415,271,888,777,166,455,617,885,532,840,620,877,902,114,
149,238,364,025,747,120,297,810,527,363,103,585,585,910,637,788,816,701,442,
087,650,042,637,929,520,479,863,104,749,260,842,466,844,094,499,654,226,285,
644,978,071,519,078,182,983,492,167,155,662,255,282,266,677,741,892,334,217,
024,600,352,650,597,329,738,421,207,629,540,673,240,429,785,767,595,581,748,
111,488,052,188,186,320,061,496,940,665,676,959,775,664,907,847,139,562,615,
341,862,287,180,000,966,801,561,678,699,696,207,206,613,858,064,939,881,860,
006,841,673,984,577,507,637,576,482,868,828,438,497,600,170,539,825,100,786,
231,421,971,519,459,575,438,791,889,965,516,343,668,388,371,760,612,843,149,
410,632,607,637,572,522,772,500,279,583,224,547,274,321,551,263,279,488,396,
712,556,518,615,345,957,011,243,345,036,262,363,182,608,455,719,684,987,149,
299,486,544,094,598,170,405,421,069,944,206,391,289,311,562,539,388,468,499,
257,502,077,792,921,365,218,058,298,374,091,021,670,561,101,854,012,051,845,
049,153,929,813,694,424,106,620,912,820,288,626,791,849,860,948,266,819,928,
407,204,888,605,335,714,912,509,391,875,190,457,829,034,555,679,250,049,980,
701,172,416,315,810,200,729,862,573,015,799,594,375,473,054,855,951,230,945,
202,321,215,628,067,880,903,230,923,456,768,729,575,010,095,807,504,659,423,
903,884,345,673,958,515,147,006,477,885,621,582,442,129,574,046,096,271,689,
003,118,580,688,946,311,315,587,998,476,284,889,884,572,776,802,364,672,418,
620,265,147,309,053,049,147,784,568,757,738,798,950,670,785,530,449,353,432,
487,170,262,954,681,929,785,290,267,319,632,776,886,300,352,274,823,782,525,
358,956,389,664,820,107,325,623,183,596,366,582,317,678,251,742,057,253,174,
846,548,776,914,642,496,600,550,813,480,315,601,602,209,295,771,597,365,210,
510,237,488,724,575,517,073,930,298,936,407,234,916,696,692,568,801,168,863,
980,517,205,005,959,308,370,326,880,925,775,177,040,281,525,469,696,328,271,
113,659,745,483,243,078,214,041,256,573,537,380,771,405,068,301,453,677,418,
500,523,116,213,002,622,979,398,933,974,029,327,860,768,205,326,383,004,274,
311,474,328,679,480,224,074,882,737,982,607,321,334,551,335,866,782,502,134,
417,146,895,984,398,215,414,372,555,400,794,706,746,197,386,349,768,514,991,
440,507,358,093,974,142,384,240,056,796,471,474,939,917,137,503,428,859,902,
160,747,013,169,987,349,901,158,716,066,203,831,987,924,102,084,585,529,440,
282,048,525,440,838,237,600,314,174,351,617,651,237,431,834,086,446,290,703,
544,551,281,648,041,923,797,226,355,417,517,952,815,981,568,693,146,951,843,
542,142,303,419,437,996,331,543,968,477,919,197,663,232,272,045,056,260,852,
579,249,657,978,315,225,866,931,351,290,398,731,512,980,223,896,884,490,147,
235,730,929,264,754,726,913,108,086,800,517,762,706,099,746,214,738,942,909,
812,944,127,019,485,591,058,173,627,938,134,558,781,062,669,884,386,055,366,
802,012,197,328,835,665,520,881,106,665,583,409,531,857,713,931,487,880,362,
574,915,447,652,058,068,475,789,863,090,281,904,411,363,960,924,376,761,583,
944,839,490,893,538,271,690,214,352,027,306,207,526,730,131,429,396,888,702,
819,738,892,972,027,056,380,044,809,007,450,479,718,754,461,686,683,639,801,
449,137,051,990,512,571,461,473,849,046,767,140,844,492,332,394,081,127,252,
718,033,882,359,252,316,236,894,505,117,718,154,240,512,416,933,481,730,667,
607,438,493,232,156,115,553,039,270,011,351,216,449,579,662,250,255,210,657,
823,657,365,341,231,276,291,433,671,636,320,976,254,917,162,568,187,141,906,
084,147,868,562,178,970,256,050,815,719,373,462,689,456,734,717,583,612,057,
820,210,341,428,341,909,334,488,398,513,083,893,612,433,500,576,638,624,920,
251,450,086,358,684,936,302,748,109,792,392,225,876,355,284,545,090,129,054,
995,776,293,049,010,012,676,905,256,849,625,933,479,359,703,205,070,440,783,
894,174,319,632,478,540,585,420,250,942,870,084,001,392,159,194,402,976,178,
320,458,666,895,081,782,859,630,436,505,085,470,716,381,206,663,304,068,929,
898,673,851,227,640,054,669,440,209,158,882,034,762,574,635,805,239,967,596,
835,907,249,459,201,387,932,827,905,646,026,131,729,863,136,112,345,970,170,
267,065,678,889,755,838,135,739,236,407,163,867,474,944,369,864,521,490,883,
202,823,747,752,621,225,481,260,218,426,456,717,165,391,426,130,652,945,901,
387,621,734,820,674,070,196,121,880,599,580,433,494,563,568,276,411,221,666,
454,196,109,759,673,411,920,021,554,892,850,815,085,929,601,225,312,777,277,
427,135,706,439,769,075,652,128,506,334,064,946,390,449,318,981,857,007,233,
931,702,194,181,259,443,845,519,845,080,960,657,912,589,632,921,273,437,180,
100,270,874,901,169,118,407,567,113,233,280,839,918,691,887,047,169,960,423,
861,359,281,174,348,401,342,447,458,116,860,541,267,171,870,449,317,366,277,
863,081,517,490,959,191,810,241,029,008,323,985,874,292,149,335,896,686,115,
082,893,708,967,292,882,258,666,825,373,682,440,057,352,382,953,943,964,197,
501,201,745,906,766,305,556,791,768,928,156,953,246,915,858,576,664,039,071,
135,845,446,427,151,740,985,131,112,691,021,550,814,321,274,831,018,284,091,
956,229,973,158,496,735,672,598,375,098,856,900,454,394,674,371,028,436,106,
241,744,094,697,429,564,648,637,562,833,767,393,258,913,169,932,356,404,690,
977,861,914,594,583,775,913,481,297,608,423,119,557,199,557,973,361,525,497,
181,966,086,126,701,611,976,198,543,815,135,080,227,438,017,907,274,584,102,
736,266,105,451,400,408,738,118,629,301,042,877,003,374,328,181,356,903,282,
700,855,648,576,187,579,982,788,917,966,815,504,736,301,723,994,284,372,956,
463,819,843,464,604,610,037,369,001,882,017,722,923,493,765,532,313,599,106,
212,578,801,187,124,580,441,588,383,411,926,470,735,640,056,002,005,731,331,
987,654,361,551,035,926,292,818,848,383,753,264,603,587,486,447,585,368,093,
058,110,642,851,864,344,088,307,671,173,138,059,014,747,278,205,716,585,874,
505,119,477,257,742,850,916,558,989,110,774,038,138,906,412,083,042,825,163,
226,178,822,770,285,437,451,058,842,916,300,774,330,838,620,735,251,463,266,
016,516,363,564,328,490,754,029,088,962,119,222,757,436,569,806,457,760,636,
864,745,493,845,873,328,644,363,083,876,429,508,075,015,398,341,167,223,448,
290,325,444,352,535,194,566,244,851,102,481,781,878,956,127,870,313,328,679,
286,053,357,048,196,504,668,940,882,555,377,354,884,657,495,395,698,120,923,
609,958,187,880,031,992,975,651,296,916,687,227,677,050,770,476,104,667,927,
635,194,402,358,658,509,163,291,203,457,200,116,440,998,875,498,506,618,101,
608,196,932,189,667,281,391,844,328,054,383,794,082,726,792,090,642,375,391,
529,790,365,686,261,746,579,888,432,700,883,008,437,718,905,674,245,581,200,
942,649,608,549,856,753,171,182,206,421,883,890,122,230,755,125,578,648,528,
471,828,790,036,839,937,354,387,658,938,822,857,519,898,671,962,346,909,461,
693,762,984,839,246,519,383,170,913,680,524,963,575,557,457,708,049,507,349,
437,757,175,966,470,718,244,080,205,131,269,393,539,800,556,147,134,644,219,
210,207,759,505,591,837,177,731,981,290,306,941,206,438,889,682,617,266,057,
160,274,049,845,492,255,616,674,302,491,632,815,167,534,535,409,539,855,977,
265,436,341,250,446,161,786,250,464,964,541,150,780,356,775,577,110,481,392,
431,906,604,402,281,435,067,488,053,115,321,960,476,149,739,744,418,803,424,
564,269,567,277,518,352,695,929,963,095,722,370,005,890,975,874,743,333,317,
710,683,791,804,012,410,216,489,508,275,191,914,314,786,110,983,713,314,149,
956,674,139,700,822,749,331,217,936,517,791,484,596,856,568,237,410,346,409,
181,828,374,042,611,412,595,073,214,850,395,025,034,349,256,951,030,180,402,
856,006,375,816,337,005,823,526,155,305,064,909,125,401,225,951,476,479,641,
703,900,027,721,263,891,393,429,037,412,385,552,546,079,458,760,698,204,302,
483,610,645,610,941,610,712,286,697,157,517,398,560,221,003,187,023,043,585,
936,852,122,334,072,247,379,886,210,325,580,253,081,341,195,530,281,552,198,
397,248,160,101,178,033,733,287,573,690,929,617,038,109,192,273,085,559,397,
506,372,697,339,937,108,487,798,618,483,407,247,097,988,569,242,649,124,389,
228,658,496,309,592,351,815,443,644,131,232,627,222,640,359,368,467,510,447,
186,346,973,875,960,430,766,642,697,290,388,549,190,201,620,046,006,446,458,
106,844,443,648,288,681,080,159,199,232,279,409,041,927,926,149,733,681,005,
319,943,227,592,802,184,190,290,648,063,790,497,867,463,864,213,483,214,217,
411,526,751,242,200,690,750,730,752,770,639,527,254,169,138,946,462,885,458,
445,113,259,035,635,752,306,504,059,652,306,009,009,242,519,059,783,174,998,
274,852,163,981,398,806,985,154,721,194,752,369,634,506,171,849,549,083,116,
152,960,154,019,241,195,742,960,287,408,845,083,399,592,402,134,674,679,731,
713,548,032,016,134,400,011,929,101,883,004,428,528,645,433,206,690,021,890,
650,982,869,398,021,495,989,420,104,293,720,092,945,489,449,470,310,030,267,
968,978,547,062,837,299,051,587,491,260,069,910,776,822,890,847,462,667,225,
749,788,001,586,785,901,051,552,046,357,031,199,807,059,356,346,319,687,964,
831,954,665,413,993,635,627,411,313,613,668,379,718,193,609,630,011,259,076,
445,701,894,000,120,037,349,597,710,227,362,816,524,994,525,744,789,856,801,
635,391,997,762,394,193,346,311,090,680,963,203,684,063,239,002,028,180,111,
101,557,001,380,369,113,216,427,080,988,138,325,802,926,597,682,786,162,247,
829,057,510,141,908,545,430,542,855,216,642,747,258,226,905,662,892,422,021,
524,098,964,833,435,380,115,393,030,401,996,195,122,000,483,830,589,528,606,
226,586,828,465,001,777,476,843,643,074,882,434,515,418,852,723,252,595,277,
901,347,866,992,894,869,221,092,708,149,372,088,734,852,314,988,101,656,890,
642,031,876,202,985,506,499,927,104,368,984,556,688,776,574,360,210,159,274,
464,305,186,050,060,310,323,612,975,623,845,678,348,147,752,377,614,002,142,
314,184,838,685,114,291,980,210,135,290,986,947,361,439,627,929,531,418,876,
161,231,900,796,254,886,065,686,617,307,401,170,922,453,822,091,838,203,244,
839,693,006,642,425,997,985,877,331,330,391,046,813,151,433,318,029,639,018,
716,356,049,903,161,779,008,648,686,708,178,143,440,180,929,754,028,164,686,
492,881,003,126,647,179,480,752,870,322,124,955,285,421,819,619,492,172,507,
729,612,409,856,996,136,755,890,041,371,030,586,460,165,170,077,525,838,328,
688,660,570,106,091,212,902,907,902,289,530,471,325,411,331,903,091,289,211,
132,476,198,877,672,937,377,639,994,797,521,377,127,356,978,849,435,369,226,
842,817,290,644,547,528,818,364,496,906,224,901,923,507,481,705,214,301,953,
610,926,852,746,342,344,299,836,712,521,759,211,683,907,027,227,551,160,120,
857,538,737,828,101,440,389,318,735,576,101,662,540,988,954,101,782,173,742,
261,481,563,498,077,478,698,688,329,482,828,061,858,024,096,577,171,918,323,
863,569,003,035,078,077,349,749,189,568,104,805,322,295,160,012,395,570,407,
191,346,778,105,738,970,203,533,108,079,160,070,637,294,958,868,834,672,030,
121,061,317,451,840,890,046,759,479,245,724,447,998,094,239,936,016,141,703,
335,119,493,001,526,618,535,840,137,058,682,926,056,222,230,600,517,477,805,
206,691,649,866,917,710,602,651,874,145,266,198,139,277,817,268,551,125,147,
703,208,937,321,728,156,743,430,641,011,183,373,292,075,580,428,071,277,080,
581,528,948,324,270,667,415,449,115,664,713,349,995,102,782,813,433,279,451,
025,866,327,059,580,264,580,781,733,968,671,929,418,761,005,198,198,852,425,
632,204,010,369,864,890,004,225,620,829,472,612,827,013,853,993,107,650,391,
916,700,066,899,701,749,299,599,475,910,971,708,822,050,956,796,075,815,874,
339,904,067,117,243,580,229,676,145,404,345,782,238,640,377,872,776,154,848,
315,556,126,195,892,533,585,236,818,348,586,667,628,369,417,292,611,661,746,
230,754,537,797,420,551,725,022,350,331,958,630,321,674,684,058,279,941,514,
974,967,547,129,926,400,822,443,500,355,594,343,824,630,034,950,226,893,390,
296,115,438,192,080,663,437,639,059,654,372,121,629,371,427,865,682,707,312,
749,922,823,481,056,270,943,498,296,123,959,594,193,956,328,794,576,421,256,
704,719,914,632,266,804,476,009,092,108,780,772,581,119,337,344,473,971,614,
171,245,113,493,708,540,295,034,816,450,231,695,753,239,282,126,380,139,694,
233,511,665,677,903,450,992,639,766,652,237,482,797,731,737,317,166,345,002,
948,401,563,862,519,800,782,813,318,928,995,885,015,112,615,122,230,837,925,
458,305,888,109,296,244,598,183,314,118,352,678,777,668,777,410,638,181,904,
807,108,159,557,153,004,636,362,756,953,559,249,558,432,993,005,270,836,420,
663,048,879,426,220,483,046,628,804,981,814,095,969,740,784,095,967,401,480,
613,451,781,217,517,049,860,756,890,040,759,085,493,124,555,311,172,840,129,
832,381,270,186,225,566,518,296,619,042,897,380,833,279,066,299,266,852,430,
973,925,806,445,503,162,375,460,569,068,680,309,412,143,905,326,035,323,399,
503,908,637,782,932,990,503,307,830,678,735,307,855,772,499,430,332,718,928,
065,594,943,822,429,458,299,224,686,505,219,781,551,438,701,636,353,600,784,
125,771,235,472,935,117,993,597,806,661,585,915,308,451,556,384,378,673,829,
597,737,916,401,957,036,660,247,149,901,595,354,830,950,172,238,669,122,679,
603,656,177,201,819,615,726,561,424,216,477,253,903,709,103,158,653,368,103,
149,868,446,854,412,580,059,763,887,772,097,766,532,632,492,297,088,127,441,
685,214,303,587,273,455,466,760,298,940,183,130,857,696,079,140,312,075,008,
320,488,591,558,267,175,056,118,771,447,496,657,344,904,445,826,448,995,489,
910,707,230,641,928,942,206,611,157,378,693,954,376,053,796,038,706,073,265,
750,694,538,755,036,683,205,366,749,284,083,663,482,311,917,548,068,497,574,
122,498,206,538,613,413,459,764,366,845,154,111,451,432,812,142,930,799,037,
367,086,235,343,405,423,507,902,232,044,400,913,200,581,619,714,020,645,637,
395,707,627,659,345,624,096,965,292,818,609,092,975,074,547,916,810,935,534,
347,739,442,005,655,545,934,128,031,541,485,910,484,339,193,048,732,213,530,
630,635,932,362,958,020,422,484,281,141,652,109,103,579,187,498,080,062,211,
414,583,281,762,811,860,003,011,557,133,513,745,460,358,402,546,528,079,363,
983,201,303,138,390,735,282,617,996,468,892,456,038,365,108,207,498,880,725,
822,265,396,578,079,079,812,926,021,176,853,310,923,384,830,976,728,968,421,
656,658,231,593,553,500,362,949,261,068,395,986,634,259,414,274,579,720,407,
760,133,573,664,414,377,074,187,608,090,703,786,402,258,640,305,917,947,380,
607,482,632,353,063,739,269,626,659,218,244,715,373,978,882,828,410,669,541,
356,972,798,372,680,098,143,938,518,713,629,626,229,228,366,806,308,329,154,
530,211,355,447,536,256,650,770,492,149,154,286,704,907,072,446,022,060,371,
235,773,514,483,905,749,810,955,419,089,058,918,512,332,883,533,237,436,341,
781,243,841,214,679,297,819,566,512,029,973,225,159,868,130,742,614,120,619,
370,994,980,010,788,823,689,052,527,455,727,493,634,712,322,775,355,968,672,
481,772,102,681,695,213,821,587,943,465,421,721,282,545,334,498,103,463,629,
179,257,369,750,647,031,842,431,992,133,317,374,041,560,648,219,996,430,364,
261,416,547,242,530,226,892,700,929,147,738,819,000,233,939,814,954,957,085,
073,224,055,144,371,798,325,701,549,250,527,893,520,221,095,571,402,572,094,
087,090,683,768,853,344,695,132,549,785,844,932,839,042,223,936,512,420,872,
699,311,049,974,025,227,916,185,813,462,632,138,806,039,490,422,069,008,262,
885,895,832,514,440,644,190,296,465,824,331,529,618,129,987,607,447,866,238,
150,327,900,467,969,686,505,205,582,884,050,493,505,513,237,437,577,193,167,
735,456,167,940,911,965,376,685,310,049,124,930,702,667,059,133,618,943,694,
836,416,576,484,748,277,272,850,280,537,256,903,970,672,767,016,261,842,017,
979,277,709,165,883,376,656,319,865,734,350,142,214,800,761,742,959,110,797,
071,526,749,774,563,701,712,725,154,511,582,265,795,111,174,417,150,207,904,
831,924,493,650,282,110,038,342,638,824,544,072,715,573,229,213,140,230,505,
855,601,754,766,054,220,111,094,109,874,260,526,692,338,612,430,786,144,655,
676,865,188,784,689,954,335,731,569,372,552,905,487,113,872,884,125,045,880,
127,522,985,650,599,616,277,321,686,781,291,561,090,817,311,965,794,326,037,
497,898,922,205,514,052,317,169,953,447,878,733,127,100,006,492,213,696,769,
044,024,478,315,864,969,163,205,349,207,175,483,019,536,334,227,451,273,643,
358,987,529,936,933,587,973,370,357,515,173,757,060,888,879,221,584,328,398,
641,555,274,444,905,376,433,162,549,592,619,162,852,581,880,658,779,264,968,
176,293,354,303,218,880,549,340,092,008,986,828,908,457,089,515,951,535,242,
755,821,784,336,363,703,414,631,787,457,056,563,110,213,891,843,780,671,909,
747,134,413,823,997,562,330,848,550,693,858,794,664,174,746,633,531,030,697,
240,517,525,447,483,583,997,567,316,675,326,858,362,638,992,169,982,727,442,
735,508,521,027,640,551,322,836,836,035,267,794,219,503,930,433,107,713,260,
592,421,579,543,918,747,679,365,793,040,733,851,423,600,672,766,829,099,520,
353,944,919,066,665,260,649,542,307,956,902,240,858,478,651,162,518,027,725,
611,518,071,451,122,232,852,287,635,791,383,241,539,491,541,271,066,642,837,
659,937,765,527,855,248,378,268,774,985,126,906,109,659,321,586,675,396,030,
800,865,320,276,318,644,383,983,105,522,186,679,988,979,939,833,594,875,160,
937,182,875,916,412,206,159,723,976,566,682,402,146,788,618,247,212,484,503,
378,313,547,987,181,842,127,263,217,152,292,621,947,764,636,472,283,747,268,
925,463,248,552,965,590,943,048,366,203,784,376,123,257,444,161,785,058,583,
161,594,626,575,932,852,886,474,679,536,931,372,710,826,448,709,060,867,956,
502,507,818,443,825,219,184,655,188,375,340,827,469,714,330,002,050,938,271,
104,137,110,399,374,654,719,211,671,602,612,422,399,572,074,748,704,795,678,
639,179,666,830,887,476,025,950,537,202,559,405,362,266,911,281,073,271,860,
459,320,154,972,223,791,507,014,716,891,038,172,225,032,463,291,444,269,921,
935,590,641,412,910,827,195,111,514,219,045,454,534,604,262,992,040,031,461,
924,756,585,273,335,757,700,537,087,113,322,511,654,874,955,144,405,479,290,
741,209,981,113,373,263,402,999,726,902,587,135,449,141,527,914,688,063,430,
593,671,728,938,071,745,025,190,405,428,162,752,842,133,227,313,077,577,671,
980,040,096,606,515,391,945,233,532,778,828,517,649,614,393,885,143,906,495,
108,411,065,747,881,598,794,030,449,863,524,122,328,737,484,709,748,294,819,
209,547,461,504,988,015,020,946,156,715,735,625,221,397,241,271,400,104,649,
592,088,286,595,245,638,233,789,405,724,622,870,235,332,232,132,354,216,050,
002,653,623,870,718,527,559,040,131,347,172,044,772,788,337,215,019,072,414,
024,804,694,512,222,417,564,438,608,586,703,689,143,392,605,104,771,872,955,
949,388,000,555,123,291,391,555,091,097,533,212,835,158,326,835,417,190,060,
211,983,995,387,756,849,190,215,519,984,896,539,599,435,907,378,262,268,388,
882,528,998,156,865,031,584,514,808,623,008,961,386,906,630,372,148,114,283,
495,143,453,513,923,348,759,984,369,383,935,320,037,729,712,508,725,833,464,
823,765,472,426,631,672,438,134,022,787,146,791,304,597,726,119,918,421,284,
567,480,805,084,426,690,372,645,643,227,880,983,455,981,345,209,576,066,833,
452,197,468,611,869,950,015,812,365,666,808,347,827,596,351,380,746,697,990,
793,800,619,377,908,116,470,582,850,809,276,614,948,967,923,113,975,467,362,
519,572,359,583,290,760,723,721,660,208,522,965,981,767,888,199,701,008,904,
122,706,235,053,404,524,949,022,636,135,692,034,436,046,829,879,928,037,897,
800,738,800,372,042,280,136,597,792,515,873,342,716,859,541,966,942,202,476,
744,723,378,728,910,065,657,603,678,198,969,208,759,773,469,773,060,156,309,
537,398,698,386,380,444,568,563,684,090,710,654,777,649,619,581,941,482,346,
619,066,035,310,812,336,787,281,896,900,615,301,250,216,128,107,083,904,741,
248,670,717,080,294,426,351,729,949,454,299,519,284,717,137,130,426,481,454,
691,075,328,952,123,787,926,513,710,240,866,239,641,620,457,753,330,799,191,
318,057,642,131,021,207,939,373,763,066,660,106,065,896,488,052,330,422,369,
038,006,401,391,044,778,255,578,711,046,017,619,405,827,318,324,166,337,452,
605,840,661,958,825,405,247,433,296,101,720,176,623,450,200,587,979,751,875,
199,271,346,479,428,914,476,683,146,169,294,331,614,356,281,032,924,762,251,
587,947,512,389,043,407,546,193,707,009,941,683,917,093,871,217,310,984,070,
008,424,324,426,950,939,673,322,013,941,346,481,979,027,141,940,390,582,812,
422,633,817,773,190,064,902,335,049,347,174,597,036,681,779,918,856,418,096,
599,426,739,878,625,393,925,479,982,126,124,607,623,623,247,598,519,989,768,
885,955,533,159,404,230,234,214,814,317,192,001,482,764,755,443,613,468,718,
025,311,221,046,297,168,351,974,178,377,545,976,268,709,131,509,954,908,973,
266,010,278,049,069,302,261,105,406,999,277,180,047,373,488,678,140,743,939,
584,643,225,696,608,735,755,029,070,748,536,826,161,448,103,179,669,739,361,
377,252,637,567,487,816,734,367,608,159,878,936,527,837,461,110,551,574,514,
883,656,372,174,333,611,868,572,501,991,304,874,437,698,068,680,789,084,180,
956,680,920,390,006,659,620,817,873,366,210,484,487,788,993,138,677,608,899,
382,453,352,340,174,518,665,929,537,333,546,890,340,383,671,463,634,867,424,
153,285,714,410,472,388,674,342,247,137,481,602,040,718,708,431,531,647,417,
091,388,520,805,420,301,837,853,754,042,252,634,737,139,006,798,651,867,817,
918,660,867,203,711,493,021,603,157,668,489,237,947,284,524,561,720,124,107,
393,910,916,469,918,540,446,620,557,102,067,422,403,957,448,650,071,648,701,
180,306,301,886,354,776,260,306,521,900,894,077,942,592,875,653,340,358,592,
911,925,324,780,587,416,608,686,951,982,448,061,447,107,766,493,378,796,236,
586,030,979,646,013,718,414,406,405,550,243,653,154,176,590,787,108,890,487,
381,183,072,257,679,952,246,928,746,242,717,722,550,345,375,106,206,942,136,
386,681,950,951,837,580,457,383,926,109,259,030,650,190,568,608,292,009,721,
267,158,950,798,258,989,850,652,327,330,749,871,476,229,638,815,000,064,830,
477,375,086,661,762,882,534,167,137,750,590,625,723,461,244,603,299,104,781,
813,925,817,044,990,180,034,187,315,218,056,189,149,736,985,719,879,967,593,
329,662,750,130,538,172,770,864,605,405,536,277,952,459,377,666,326,693,666,
521,299,864,599,748,259,961,630,197,521,003,109,992,113,789,794,352,816,699,
287,750,248,963,067,421,726,644,464,010,162,986,974,426,762,940,360,979,930,
674,172,112,500,047,387,720,583,818,731,705,210,629,338,772,223,776,589,734,
735,601,195,965,186,243,815,603,023,109,332,612,283,376,088,569,306,082,045,
381,373,580,746,683,247,048,703,370,371,336,054,178,441,795,267,597,138,998,
003,039,959,358,252,623,647,512,830,246,465,511,772,658,995,205,780,399,258,
335,933,605,091,214,935,102,443,458,203,161,490,755,290,134,077,211,736,451,
055,253,493,097,823,976,222,976,031,983,285,217,406,540,257,241,221,042,110,
967,766,713,411,951,128,759,087,601,146,302,773,507,135,930,408,513,245,256,
401,320,487,149,552,176,035,021,143,228,045,963,048,930,412,433,188,269,316,
382,274,921,397,649,616,082,431,524,604,251,912,024,826,987,157,788,073,899,
001,203,174,135,506,456,333,818,970,990,910,212,010,896,781,709,425,759,192,
699,743,072,439,618,720,293,511,581,104,978,130,745,537,307,902,836,053,582,
915,182,952,086,124,616,881,892,806,357,081,475,766,296,394,930,511,882,531,
452,142,836,569,622,021,190,623,911,677,302,661,034,511,726,867,891,079,884,
286,078,308,035,775,708,696,635,883,779,083,297,239,543,830,461,384,616,343,
835,406,157,166,878,322,778,080,948,264,030,429,353,761,845,820,971,972,855,
898,099,469,954,230,543,715,371,624,214,249,856,236,193,528,787,524,177,431,
982,967,384,745,256,428,382,647,558,464,649,968,561,343,873,032,186,297,071,
992,510,873,308,069,626,534,548,107,505,269,294,957,408,936,581,749,104,687,
088,246,740,678,924,075,444,224,882,213,253,839,923,045,093,087,848,342,406,
992,193,583,431,201,641,060,956,721,337,538,260,921,609,751,956,116,773,050,
360,945,333,355,616,725,843,762,620,732,780,797,326,210,140,145,381,288,313,
425,942,510,855,620,898,489,500,920,458,955,065,083,199,879,791,460,148,113,
892,812,149,821,855,900,918,844,391,593,847,424,356,140,716,878,829,048,160,
432,483,881,956,402,869,337,674,205,992,664,490,702,920,194,382,154,904,922,
714,292,490,176,185,518,376,556,350,522,513,309,366,619,232,259,527,981,636,
618,229,102,628,336,152,607,411,559,124,826,231,533,873,096,231,572,352,315,
594,640,128,802,463,579,679,522,845,574,754,544,095,318,948,325,989,082,200,
230,800,994,609,525,793,727,172,628,193,078,511,641,086,579,587,044,239,947,
457,019,769,047,136,726,924,337,364,098,296,373,905,254,100,486,096,363,181,
869,654,886,278,421,234,790,033,659,310,651,161,294,705,630,306,832,873,492,
444,176,994,095,143,399,209,007,480,738,816,344,437,442,361,033,644,766,587,
923,239,730,890,557,824,800,239,586,093,846,801,017,701,442,708,314,984,822,
744,937,063,605,772,333,414,597,582,500,324,005,182,332,766,355,008,085,042,
858,012,011,189,128,388,936,489,584,935,696,244,896,903,523,651,787,384,220,
616,195,395,645,461,082,481,350,228,204,634,445,194,571,351,708,008,941,062,
944,267,279,439,812,066,513,387,265,717,207,586,660,219,587,359,666,714,599,
979,676,787,544,853,845,487,136,876,104,628,969,334,960,362,561,106,168,583,
192,220,906,753,518,816,401,673,641,808,720,697,916,769,550,852,237,581,791,
217,102,883,212,944,721,252,564,950,827,024,241,649,404,684,629,677,491,685,
716,620,328,326,851,666,839,897,298,182,752,388,406,134,195,462,362,917,043,
471,738,159,428,822,407,545,479,186,487,355,163,952,786,430,406,829,722,132,
139,214,937,770,014,993,573,942,327,243,734,285,876,294,279,067,881,246,864,
313,811,840,049,679,446,421,982,299,866,173,274,964,435,192,382,959,779,222,
029,614,611,186,684,481,289,502,815,041,951,862,532,967,458,586,474,319,906,
263,060,105,662,044,144,215,886,082,242,737,247,222,250,275,173,605,690,538,
265,193,329,221,950,928,508,496,546,473,013,581,304,889,385,135,747,023,268,
095,671,429,349,595,257,821,189,323,353,028,725,321,299,737,655,972,421,947,
138,921,918,442,060,722,320,431,795,897,230,868,745,620,614,061,432,097,179,
418,189,746,266,818,238,554,808,064,670,796,725,780,051,743,393,989,140,211,
334,194,172,968,638,098,292,584,166,422,490,830,868,502,331,191,497,165,714,
822,079,963,315,937,406,840,972,131,654,855,210,209,654,649,946,798,833,724,
733,626,730,156,853,636,729,548,008,744,162,334,059,677,126,411,555,449,486,
458,686,575,621,117,172,637,128,409,478,644,970,609,353,134,515,739,600,111,
404,092,436,510,749,858,699,448,786,788,282,744,000,111,996,979,440,563,856,
961,492,544,891,256,994,822,534,497,778,062,918,220,214,419,229,984,679,811,
284,826,496,909,667,349,284,665,696,466,814,216,684,138,380,971,793,385,368,
841,122,583,319,332,746,997,584,027,318,866,180,651,741,595,144,107,807,892,
912,813,106,873,571,594,696,289,620,340,661,622,080,121,837,102,618,675,041,
851,238,251,137,295,287,585,403,051,300,001,765,831,824,237,739,567,443,837,
758,376,372,260,996,004,964,033,878,632,215,934,348,209,463,028,524,627,054,
966,998,475,024,023,498,342,107,881,099,399,352,125,591,881,986,110,958,263,
457,493,790,112,555,229,980,862,657,278,786,548,020,169,306,406,688,797,728,
792,207,354,360,959,378,743,140,651,922,227,915,449,474,863,788,109,030,169,
165,209,681,404,316,290,622,020,287,247,824,411,998,611,334,607,892,939,932,
352,047,933,439,206,409,705,155,161,746,345,551,413,008,967,209,953,820,496,
364,213,459,534,937,701,397,085,978,284,503,454,933,116,514,692,150,080,332,
261,627,066,605,376,379,103,064,205,387,870,793,834,970,997,351,079,156,221,
871,336,410,266,832,415,762,327,979,102,390,412,905,160,448,825,667,552,122,
337,186,659,764,142,133,697,041,601,161,602,518,345,785,526,789,094,515,735,
186,915,202,744,847,961,867,958,948,737,911,353,230,242,905,919,534,502,279,
387,289,198,767,617,679,595,926,486,407,227,021,237,751,352,617,731,348,429,
170,579,963,710,831,708,623,712,123,064,918,793,432,280,734,828,875,053,030,
932,706,506,901,327,576,824,083,548,198,321,587,439,216,291,998,512,533,599,
205,659,341,210,507,097,562,936,681,651,989,498,300,941,140,753,488,862,689,
517,844,640,829,240,353,711,193,373,741,585,264,635,598,307,530,162,644,789,
274,176,192,562,770,156,489,296,588,350,760,948,397,845,222,541,652,407,803,
297,895,390,120,983,601,279,359,974,225,375,079,567,643,965,353,656,509,093,
781,638,291,074,876,973,353,172,574,451,327,048,298,836,079,848,615,266,514,
332,048,300,587,476,504,828,909,654,234,109,647,082,703,033,244,552,778,809,
709,773,164,847,492,346,382,366,311,272,434,071,444,259,422,108,375,632,695,
458,386,058,428,692,781,700,272,946,057,028,477,149,240,511,588,163,975,818,
775,427,637,802,410,751,426,942,316,135,143,142,182,035,576,686,348,919,062,
166,548,601,282,878,571,210,116,090,564,761,317,762,629,068,179,617,272,012,
413,647,732,870,169,293,908,183,300,660,762,150,422,706,312,281,132,739,641,
409,369,175,325,444,998,815,716,973,383,775,965,309,713,134,980,485,671,322,
160,974,829,639,303,584,904,296,460,027,802,817,304,128,592,834,379,111,202,
063,084,769,607,220,582,012,495,640,839,255,329,196,527,131,131,439,382,111,
066,400,887,812,651,206,328,714,755,465,686,835,452,475,477,634,765,844,740,
061,393,165,510,925,926,096,425,165,904,204,643,284,015,675,129,779,465,140,
719,280,164,899,004,636,641,216,610,482,117,917,345,727,569,197,586,296,114,
099,406,812,147,869,467,821,008,896,182,172,508,594,336,814,591,931,740,693,
543,066,250,496,858,832,316,276,352,218,215,032,633,895,104,812,979,159,220,
411,526,992,868,808,736,198,194,835,693,068,244,040,817,364,888,706,849,660,
673,374,296,169,408,714,200,908,391,560,427,973,299,772,502,344,092,261,796,
480,192,813,837,662,196,344,644,175,578,553,005,144,793,552,825,556,297,942,
155,976,960,593,877,288,016,909,190,989,018,753,730,532,017,684,943,578,754,
082,334,326,783,311,025,381,827,263,844,931,989,310,854,289,676,159,949,916,
064,028,839,676,862,663,278,935,001,290,827,427,118,692,090,417,451,777,844,
723,847,764,336,017,620,925,780,943,529,055,997,916,326,491,678,498,203,808,
316,605,397,044,971,102,872,874,304,877,622,918,536,473,240,027,045,971,046,
638,222,192,743,758,717,041,078,199,124,167,228,328,380,060,288,562,780,246,
060,327,527,473,372,017,857,392,121,959,076,910,123,024,344,160,187,216,599,
741,419,769,917,134,458,311,914,290,241,625,188,774,262,401,449,103,493,815,
816,855,142,617,635,342,669,083,072,631,954,006,388,002,092,374,251,817,878,
269,551,385,571,166,158,222,036,762,543,601,069,914,856,050,994,920,814,464,
079,970,350,730,973,379,507,425,419,066,414,595,629,033,975,047,023,564,884,
423,457,826,596,937,168,479,501,844,986,532,955,147,821,978,928,356,858,859,
510,466,697,083,263,595,993,557,177,242,236,642,324,915,029,821,167,745,019,
932,948,531,813,400,398,468,996,140,408,229,060,553,125,962,275,732,839,464,
846,195,651,650,554,103,071,347,132,519,779,818,143,774,360,207,550,648,117,
018,680,770,436,702,256,752,637,811,386,870,350,404,292,405,670,576,086,052,
501,478,798,021,648,433,493,588,710,219,357,876,706,603,363,409,711,396,592,
747,418,122,108,788,659,623,826,193,640,232,237,903,305,746,786,248,409,449,
557,288,250,924,433,760,474,351,659,803,786,649,630,832,920,981,577,218,078,
979,817,375,768,699,716,739,847,589,945,395,125,455,830,023,882,428,287,737,
398,744,514,631,358,652,545,684,504,497,464,715,968,300,841,686,840,295,334,
460,437,526,066,754,254,592,715,459,122,294,641,156,432,058,418,749,332,339,
179,612,220,431,403,123,295,390,383,104,820,742,167,558,934,566,601,366,818,
404,750,535,967,884,604,149,637,092,644,792,099,953,018,794,606,352,575,211,
353,325,238,530,934,925,796,213,344,761,919,064,725,695,456,530,186,831,335,
486,587,853,606,528,029,424,312,444,025,757,540,220,993,965,004,376,505,275,
736,105,029,522,468,355,227,138,602,637,412,157,580,973,987,255,168,111,940,
295,305,609,948,313,560,368,527,563,499,711,192,630,504,959,874,978,156,929,
856,968,393,942,763,888,904,575,115,077,020,932,137,863,516,456,918,011,638,
267,207,818,887,266,716,321,795,318,466,864,106,482,474,950,602,467,935,966,
107,193,888,778,850,001,054,116,900,127,465,204,143,526,792,038,848,881,519,
014,415,410,291,671,862,662,393,869,045,571,049,537,312,282,048,746,145,066,
635,033,939,828,325,060,780,195,223,396,847,892,197,393,452,610,034,247,014,
860,775,088,894,182,984,252,458,524,072,414,303,792,510,683,911,139,607,895,
455,387,417,704,013,911,484,966,188,435,249,531,070,540,532,994,702,814,034,
325,522,685,524,520,356,354,719,687,260,885,340,317,401,852,364,692,042,912,
659,427,220,210,760,297,816,204,229,178,820,824,259,943,288,320,236,701,702,
047,451,807,954,949,780,136,607,743,863,596,340,249,173,067,104,944,666,395,
439,268,373,498,941,951,454,326,352,631,875,347,962,511,451,105,102,352,519,
493,349,715,493,071,362,339,471,758,577,731,088,420,345,255,660,135,525,528,
339,138,337,684,839,224,542,436,962,401,127,545,862,686,544,423,714,788,737,
472,638,433,252,347,153,651,698,770,395,177,254,464,633,467,883,742,212,149,
034,076,515,485,887,719,581,384,706,993,378,327,696,952,889,577,633,991,775,
012,970,680,055,842,838,052,816,264,025,257,079,626,435,437,136,011,732,381,
162,797,829,751,319,253,439,689,126,479,537,768,288,273,119,433,366,424,280,
257,896,464,419,980,594,035,201,463,886,406,088,301,539,300,133,045,468,024,
341,090,192,860,596,236,572,653,214,336,035,276,208,940,007,749,522,311,721,
944,079,341,920,661,073,314,495,443,736,985,960,746,780,793,085,366,888,168,
228,084,936,097,272,808,952,331,537,391,145,998,100,517,914,216,157,720,212,
501,462,319,771,062,626,157,342,776,177,532,831,684,510,454,549,360,748,608,
448,166,112,839,371,522,173,158,727,517,450,309,481,944,456,818,084,498,204,
713,862,092,731,810,725,331,458,375,855,728,344,762,827,136,750,199,990,732,
508,492,918,627,474,157,993,302,288,023,678,273,376,689,098,075,907,810,189,
174,480,061,782,196,810,886,168,174,777,777,348,787,207,334,878,877,423,683,
600,029,110,715,856,924,320,245,189,999,310,881,127,607,870,704,756,875,495,
326,931,291,286,377,699,842,043,198,167,183,714,723,270,011,646,801,435,644,
353,718,166,198,580,692,414,326,801,621,074,928,038,177,573,681,442,748,873,
489,276,463,069,350,787,858,806,177,479,251,234,804,700,546,883,756,575,104,
196,279,939,395,043,104,906,678,659,542,705,654,854,705,455,008,770,938,167,
406,732,816,788,940,816,217,610,741,449,324,195,341,311,612,570,460,008,611,
709,969,030,424,647,424,230,524,380,885,415,470,543,118,011,881,205,681,070,
772,609,498,435,267,073,183,189,859,731,578,054,568,665,837,444,390,280,789,
819,038,447,864,441,041,300,237,310,577,344,979,110,432,383,267,964,672,403,
409,679,128,180,476,203,042,503,001,076,142,567,848,232,456,554,224,693,475,
575,274,917,054,586,830,706,754,761,043,311,843,290,162,382,655,169,920,177,
464,236,542,173,562,728,916,171,128,648,859,292,144,216,515,889,253,536,902,
200,002,172,401,692,286,643,401,105,280,299,272,313,584,746,784,383,256,528,
049,066,627,411,842,038,459,724,963,994,553,364,115,687,249,569,313,918,496,
809,460,494,747,169,117,939,545,154,342,373,524,852,203,557,201,011,463,668,
415,604,851,248,574,120,690,171,936,929,508,180,866,234,413,341,959,598,788,
992,699,358,276,065,394,726,604,505,890,654,803,029,631,864,663,756,352,305,
849,097,439,864,807,633,428,744,960,188,986,262,359,515,931,987,319,955,345,
016,612,598,636,007,567,806,322,982,788,902,762,413,315,275,108,172,267,713,
991,009,353,491,142,454,694,298,454,586,342,898,006,859,489,172,220,333,597,
887,935,344,334,967,834,264,854,570,734,027,958,728,484,129,949,611,120,782,
238,933,171,999,072,706,992,828,114,721,666,651,643,180,120,493,631,173,785,
245,894,231,154,120,826,839,998,240,227,117,614,274,407,663,770,234,716,487,
949,128,433,656,391,377,274,065,613,772,304,577,035,614,931,141,470,359,668,
397,302,601,628,919,792,389,882,984,134,571,512,175,494,652,616,851,963,585,
216,673,398,336,096,193,478,616,011,015,572,573,210,692,291,305,966,363,564,
653,954,377,710,291,748,455,223,892,624,389,274,783,270,084,790,346,372,256,
303,427,586,972,254,666,739,726,656,610,332,348,759,469,683,799,897,997,269,
420,388,348,130,667,791,531,788,679,765,177,212,801,685,221,749,750,184,746,
853,249,087,035,813,132,044,080,828,600,961,536,154,261,526,503,839,340,306,
105,386,244,041,069,415,888,768,096,200,709,462,190,319,680,592,874,095,845,
693,519,711,269,888,116,096,465,947,665,872,447,744,415,399,472,204,416,204,
822,433,600,213,728,916,776,665,652,866,347,008,255,190,253,984,865,769,057,
059,562,312,322,091,515,597,138,952,147,454,826,832,412,305,794,151,497,061,
474,237,434,082,864,516,872,003,196,673,489,183,880,034,341,129,729,402,023,
647,696,094,295,948,885,031,102,855,467,528,592,136,984,498,371,429,670,584,
765,297,901,737,642,498,685,707,744,742,675,869,223,504,888,020,572,756,837,
613,064,119,270,445,023,062,092,947,577,961,922,453,117,641,534,206,359,379,
127,464,327,286,019,217,371,662,538,223,761,337,405,156,713,558,601,134,877,
841,069,940,680,545,455,683,818,567,391,443,923,418,371,811,701,656,450,701,
371,631,305,904,223,280,829,984,580,307,454,970,866,945,745,842,573,202,077,
649,670,908,161,206,069,369,577,099,485,645,922,821,146,346,316,724,960,200,
428,487,863,379,242,022,118,716,891,825,946,704,488,598,618,196,006,059,184,
248,706,232,791,038,061,066,178,083,528,242,363,239,638,554,997,520,598,220,
290,796,750,283,557,347,561,506,481,744,398,551,205,848,103,944,330,391,552,
282,472,555,371,675,277,598,154,076,652,685,706,801,841,760,641,779,646,985,
757,052,545,907,752,713,859,397,839,978,171,528,848,886,659,371,120,813,297,
657,069,984,559,102,244,365,838,276,602,470,709,217,752,194,261,908,884,358,
550,192,734,123,972,879,296,423,089,618,588,118,378,852,678,479,833,441,320,
575,777,787,182,999,082,168,304,072,002,683,976,598,596,937,390,098,134,988,
934,610,110,373,849,646,051,241,917,583,907,708,704,875,062,938,447,057,711,
144,009,578,829,649,982,375,983,851,382,124,668,135,459,057,480,919,030,182,
852,459,616,813,159,130,373,132,849,389,567,637,579,183,638,042,132,036,360,
398,206,357,266,341,037,541,662,570,283,925,514,904,294,341,807,252,771,176,
375,979,150,681,168,629,984,894,185,338,967,025,088,191,546,507,764,111,527,
288,194,794,500,257,315,126,695,889,006,773,660,001,102,250,074,334,437,518,
583,972,575,033,278,919,596,147,009,549,103,231,334,372,325,546,998,364,442,
442,273,401,539,217,992,048,947,123,893,562,940,794,680,158,744,906,123,113,
872,229,441,329,786,803,860,959,710,857,652,837,332,346,937,224,872,556,268,
126,683,521,111,900,673,759,385,839,622,269,067,618,106,477,077,938,919,924,
807,805,050,892,290,472,106,680,793,025,769,279,364,196,136,038,932,802,003,
361,493,031,539,450,211,741,332,016,995,679,200,236,892,876,083,884,415,945,
632,671,242,618,512,207,929,198,233,397,339,755,057,500,208,951,382,178,894,
035,268,799,725,318,308,518,826,206,179,771,414,806,626,563,534,408,321,496,
385,208,287,435,942,065,029,337,882,555,379,167,723,289,869,592,395,711,616,
881,827,848,509,547,247,331,808,612,127,588,945,920,704,956,569,567,804,112,
916,384,519,590,980,288,732,041,409,198,143,416,717,642,344,348,509,536,639,
552,170,025,283,354,006,916,953,320,159,194,917,716,663,346,616,923,405,624,
996,440,886,309,456,691,138,315,735,247,556,133,003,954,853,348,370,395,996,
038,670,203,499,472,442,071,903,674,424,125,608,519,641,811,767,908,840,820,
216,702,200,672,147,951,075,909,976,673,852,034,919,190,579,602,402,560,241,
653,047,610,673,427,434,380,341,547,545,263,395,750,230,107,695,034,942,160,
439,741,697,150,070,215,692,784,984,356,499,272,781,632,350,871,895,354,185,
348,158,295,781,741,148,428,036,117,465,451,967,631,871,512,047,862,283,851,
293,750,127,207,360,824,880,701,269,821,244,933,581,355,270,871,930,400,667,
466,864,122,534,676,283,075,606,156,568,106,793,024,469,326,809,436,396,201,
598,791,595,183,021,303,470,416,549,794,006,324,869,420,806,145,451,614,640,
955,657,315,679,496,059,139,128,748,628,869,660,752,086,148,746,608,155,920,
823,218,419,662,140,454,853,451,571,124,658,721,433,210,399,628,700,098,002,
336,837,128,841,241,688,364,114,715,579,269,862,550,305,034,548,414,063,727,
687,907,242,033,934,360,766,808,463,077,448,361,583,193,301,434,192,805,106,
835,756,715,934,156,591,162,161,273,743,671,388,602,521,436,390,474,014,609,
930,638,155,009,090,316,349,244,260,887,736,614,122,088,907,068,235,007,123,
634,817,824,267,337,108,306,792,519,147,785,901,162,228,867,115,266,196,202,
967,329,596,840,413,844,908,332,185,772,274,054,493,493,822,737,634,950,327,
231,720,301,851,897,957,110,575,487,531,372,702,336,033,973,745,459,936,657,
669,332,687,380,903,291,743,156,096,706,302,781,630,280,796,708,342,965,797,
625,859,834,919,734,621,622,641,176,814,967,786,545,964,718,509,465,848,591,
286,585,728,127,870,770,181,911,381,952,321,244,454,048,739,657,742,676,716,
658,496,157,494,004,493,674,012,306,149,805,951,366,317,355,511,441,880,682,
451,782,279,122,900,975,030,924,918,791,840,629,128,720,908,476,615,365,190,
563,244,520,322,129,973,755,435,540,937,037,316,522,790,417,529,945,990,308,
358,914,118,132,191,443,418,305,483,989,392,759,748,005,496,595,620,376,279,
636,166,442,927,463,619,165,926,372,896,640,998,785,849,818,486,623,033,420,
647,947,880,757,262,939,775,683,650,705,902,279,700,730,876,018,719,684,000,
593,682,362,490,847,105,509,952,570,427,434,173,464,607,626,090,282,268,857,
028,363,532,109,389,580,576,455,147,508,221,891,607,173,949,160,491,477,728,
304,567,675,077,329,341,852,307,920,114,071,641,034,697,503,949,279,048,778,
340,155,339,827,231,760,547,655,467,194,308,324,686,158,603,823,264,156,773,
306,523,044,581,093,337,579,898,142,210,295,371,150,332,810,035,215,192,395,
589,475,789,969,461,663,650,734,651,862,118,386,074,401,981,291,713,074,545,
627,571,540,884,907,197,021,640,170,779,079,816,644,825,978,592,806,391,087,
356,164,888,165,173,440,962,228,474,184,086,797,145,421,137,993,797,737,694,
383,818,205,789,392,213,709,448,080,269,103,097,526,215,722,115,877,574,802,
114,088,775,682,354,532,717,301,985,600,687,632,078,799,695,701,922,241,248,
850,176,598,280,307,871,308,323,330,420,102,303,404,422,448,957,785,922,364,
387,109,076,053,121,157,501,926,841,660,842,856,392,526,102,504,345,609,102,
510,727,165,327,412,979,791,141,562,808,143,014,902,147,234,615,389,496,442,
787,012,972,887,244,555,448,743,400,424,856,152,227,152,542,127,893,146,468,
622,012,597,743,542,255,596,364,734,120,749,024,778,382,941,691,243,636,021,
393,143,587,019,555,152,538,476,966,860,693,620,415,716,811,531,659,766,906,
596,300,564,041,388,586,087,430,873,172,741,440,396,720,486,609,145,100,297,
559,733,410,120,298,633,491,942,695,866,586,245,321,450,633,062,542,554,948,
816,517,291,796,940,959,137,645,760,445,288,613,692,005,654,727,256,284,111,
457,268,117,664,258,900,998,087,798,943,092,531,039,682,640,663,813,504,611,
296,949,449,849,804,093,067,375,669,141,238,405,491,327,249,708,970,571,287,
479,784,211,934,363,385,668,626,104,393,573,200,812,904,268,536,962,812,815,
237,438,319,797,011,445,916,808,678,090,625,518,555,225,241,309,502,946,306,
318,127,296,752,662,573,407,494,589,709,477,287,304,924,831,059,746,458,134,
399,764,283,116,109,327,106,349,807,125,659,342,289,145,092,921,156,713,860,
468,146,848,067,090,014,709,388,515,716,474,740,515,437,153,668,201,909,773,
410,850,217,355,441,629,726,129,346,524,824,158,449,399,233,408,371,262,434,
841,214,895,972,180,620,040,702,054,942,038,680,060,961,960,107,745,461,053,
524,259,564,841,695,107,097,403,869,070,915,972,663,607,481,125,231,684,002,
413,301,217,115,288,384,763,538,836,571,653,516,125,238,641,272,351,541,100,
042,528,840,380,474,844,332,665,725,891,711,339,688,707,535,477,704,470,855,
107,192,487,147,146,444,730,999,267,085,070,423,061,541,754,117,666,335,445,
294,010,455,275,498,774,834,247,875,266,549,679,869,920,420,670,260,806,054,
832,879,514,443,998,746,049,755,330,322,468,892,114,717,136,991,631,335,602,
677,963,686,163,964,239,324,783,082,328,673,918,382,352,498,801,641,813,696,
079,857,396,383,368,980,649,622,723,881,654,953,334,500,798,858,795,805,137,
239,018,359,551,203,829,962,800,110,984,604,044,276,120,972,157,452,532,050,
369,768,920,034,798,766,796,578,993,237,890,351,739,146,810,854,806,305,019,
581,089,851,950,762,291,848,011,524,306,053,027,249,687,512,106,206,646,331,
931,538,192,702,268,965,327,769,234,742,094,621,111,662,280,488,943,531,521,
183,050,161,740,157,550,769,993,162,505,394,824,392,174,234,248,036,313,033,
002,279,325,438,785,011,814,867,892,283,758,780,653,647,112,701,280,986,070,
840,346,251,569,409,377,823,884,918,104,348,521,855,769,528,721,273,770,657,
049,552,850,064,911,858,614,161,879,196,673,947,854,223,461,255,733,727,067,
366,637,225,134,577,158,202,855,432,065,331,384,775,417,396,538,990,880,691,
946,009,960,240,843,302,536,674,356,361,689,628,174,970,143,070,942,124,269,
602,493,946,935,725,350,076,511,198,784,322,943,495,635,194,365,806,053,520,
875,378,037,791,456,024,912,293,567,058,972,161,696,800,394,728,986,063,492,
202,290,989,093,244,746,513,779,735,614,186,925,293,494,463,087,638,019,587,
742,894,409,785,393,701,614,062,147,946,511,677,862,347,535,795,595,771,413,
783,658,273,928,728,047,716,708,265,440,747,228,665,207,400,677,237,302,185,
720,736,159,156,710,718,538,897,008,259,129,326,961,741,711,503,288,914,338,
543,500,814,445,041,588,682,877,338,682,778,592,240,481,331,930,224,888,516,
086,470,410,075,737,860,493,786,878,907,345,110,808,123,547,001,435,784,024,
011,999,772,871,472,419,824,536,859,962,224,419,112,937,994,910,502,019,298,
178,308,326,440,406,028,418,748,357,101,174,634,124,679,193,811,407,699,881,
651,159,739,257,682,589,562,241,530,092,926,502,923,073,627,569,092,276,265,
006,573,009,217,782,978,447,109,323,892,835,198,399,046,202,982,274,674,654,
718,031,031,174,797,487,139,156,795,965,338,330,672,950,271,094,818,645,071,
757,556,448,963,630,626,477,067,889,786,556,801,393,572,203,883,537,117,742,
772,563,816,823,100,029,903,722,020,934,685,073,633,111,445,353,800,202,244,
005,864,929,624,695,993,491,152,076,204,564,195,015,945,430,353,422,143,922,
426,777,796,118,595,430,028,962,632,694,431,833,673,392,559,101,062,952,050,
027,097,680,720,037,352,196,219,284,683,432,824,946,935,175,645,646,410,645,
300,962,947,871,891,478,717,348,131,337,771,387,456,334,464,582,279,837,071,
152,924,287,690,818,304,416,593,269,378,822,024,062,422,516,775,385,572,204,
036,197,425,502,235,328,669,048,192,057,288,034,757,313,507,275,803,496,218,
532,544,422,901,498,670,639,796,175,017,806,041,097,094,142,701,637,847,209,
691,462,053,814,079,471,809,315,539,269,337,697,148,328,745,759,049,055,495,
977,942,492,256,625,472,167,751,500,306,719,902,584,194,907,095,501,642,801,
912,799,375,780,660,900,109,162,250,741,595,947,838,736,609,109,983,769,293,
349,205,519,138,212,671,833,374,281,539,810,197,349,594,323,832,690,755,650,
321,667,602,810,318,676,483,489,416,807,445,519,655,509,788,262,234,654,110,
958,702,675,980,914,584,968,310,866,172,106,579,305,278,002,470,662,777,534,
066,506,210,135,293,154,132,945,614,551,476,944,326,690,615,387,776,165,322,
033,328,360,727,793,476,701,979,500,085,964,523,056,096,310,602,588,484,016,
912,806,035,402,246,032,316,410,841,172,349,925,900,292,968,037,257,490,735,
573,731,613,577,205,301,204,267,267,369,678,550,500,895,272,779,489,711,284,
796,998,151,408,487,190,234,340,566,971,763,892,571,695,300,642,510,690,101,
093,033,308,157,228,929,385,635,823,779,992,838,542,454,582,906,751,909,975,
170,860,579,524,978,566,495,754,305,440,191,978,467,849,809,147,154,090,440,
147,518,101,437,325,578,716,712,183,288,183,777,353,630,646,496,130,846,310,
252,183,124,934,773,445,584,044,109,418,061,375,029,936,838,768,634,025,927,
561,305,789,504,759,612,300,342,060,751,442,401,753,696,700,978,035,347,078,
931,768,441,843,075,181,096,622,729,772,189,544,079,018,953,731,945,328,561,
842,025,107,816,089,283,216,026,632,743,246,711,427,697,996,601,351,062,519,
804,620,750,971,446,658,291,794,260,845,517,407,369,818,093,968,359,060,274,
096,757,206,183,311,344,829,404,080,052,547,126,962,033,187,530,193,989,551,
351,983,846,598,086,689,950,652,594,128,363,568,589,780,777,654,392,605,362,
036,690,678,694,974,428,065,716,459,143,564,105,081,598,877,470,883,300,338,
971,044,359,029,714,164,764,404,051,691,416,837,660,880,016,199,254,730,673,
141,991,880,929,398,323,343,984,626,102,745,368,764,966,661,861,765,526,303,
212,144,129,007,815,566,767,894,808,219,925,072,475,015,672,070,929,768,430,
421,912,801,554,065,461,954,313,529,067,713,987,514,421,174,650,766,970,181,
509,959,761,980,685,610,757,201,899,161,213,856,538,609,902,207,000,270,794,
064,173,171,370,729,577,716,128,346,991,589,550,786,199,272,478,492,015,866,
038,139,079,617,684,135,703,755,169,212,386,856,799,969,908,147,793,385,331,
285,970,530,406,369,705,562,454,027,596,968,306,184,240,115,474,516,295,979,
420,797,616,310,419,049,927,208,096,287,947,149,532,449,054,924,807,183,693,
316,623,635,258,105,453,556,768,141,827,316,949,238,688,149,072,540,427,411,
260,507,400,124,119,985,280,052,669,952,208,107,364,895,914,204,320,288,291,
638,161,729,810,112,422,049,744,297,740,555,495,930,502,330,190,513,066,591,
122,140,336,680,592,278,366,385,667,880,303,092,437,153,443,555,506,696,659,
045,154,726,134,016,071,846,406,594,802,571,884,114,186,005,733,077,014,999,
410,849,576,305,500,805,058,270,074,519,922,151,425,119,976,763,237,435,752,
943,444,565,698,132,389,235,109,377,297,163,323,678,101,001,362,794,539,035,
294,845,937,501,509,222,415,899,378,540,381,092,656,354,496,460,966,621,336,
486,331,707,688,780,497,726,383,332,129,990,790,391,986,249,830,158,110,053,
966,032,612,504,203,036,166,504,148,803,620,033,957,664,936,554,507,959,723,
799,209,971,741,197,828,984,040,153,989,120,726,592,942,006,023,388,744,094,
031,904,915,373,081,496,460,608,888,503,682,728,533,982,443,651,080,280,531,
640,678,383,481,265,199,235,883,120,833,973,852,832,886,806,078,354,330,891,
239,172,322,145,248,194,624,285,537,718,519,380,758,069,067,802,010,243,430,
345,290,139,645,727,823,091,517,305,544,295,974,441,025,361,487,397,251,353,
187,451,181,490,099,188,757,638,620,049,503,941,518,532,239,760,807,231,465,
893,160,228,358,004,687,739,804,673,481,758,140,492,844,031,686,107,926,691,
740,880,820,908,636,373,720,233,622,975,547,965,733,806,811,261,931,395,520,
855,814,868,375,344,351,621,932,046,891,207,532,318,602,339,703,964,167,604,
662,101,077,191,551,445,545,309,833,769,960,029,343,510,303,661,608,332,559,
298,016,855,121,486,869,033,777,209,225,807,095,102,792,131,492,263,021,142,
699,108,769,389,805,639,164,432,336,162,198,997,005,181,386,390,345,430,633,
578,728,618,643,569,888,874,032,643,476,224,447,041,533,994,599,504,552,113,
567,911,318,544,026,984,214,912,198,484,219,740,552,210,016,062,183,371,465,
122,231,393,606,269,671,300,983,815,426,832,561,430,749,609,996,143,736,922,
518,304,994,400,231,347,730,679,018,545,972,295,557,309,252,645,655,423,434,
564,123,140,737,614,590,519,337,339,788,715,554,749,883,391,698,393,320,537,
022,547,407,486,764,849,708,430,861,174,641,741,434,869,117,295,727,922,544,
715,962,620,576,423,455,358,387,817,063,000,246,383,868,212,913,426,046,240,
062,118,773,559,302,901,063,337,307,208,145,153,461,625,797,299,985,315,395,
229,795,312,317,286,594,604,702,258,404,118,000,874,625,770,040,420,334,206,
005,195,310,362,938,910,673,756,352,921,730,579,879,647,114,586,284,805,322,
898,228,107,385,510,624,710,988,141,176,644,926,619,929,034,683,134,293,625,
025,450,463,271,722,527,602,214,424,757,219,976,737,530,573,070,892,902,217,
686,661,691,216,576,302,269,348,050,538,101,718,209,509,967,777,380,739,801,
790,014,875,058,283,812,037,225,405,495,531,523,959,151,253,527,129,526,940,
061,383,613,736,525,563,076,836,917,914,524,995,532,199,019,953,650,762,590,
391,161,409,305,269,183,492,968,940,190,396,335,715,486,103,543,136,240,529,
358,609,465,223,966,750,538,725,112,560,938,625,197,299,162,305,430,853,442,
393,043,823,022,956,578,593,985,137,414,858,930,816,695,398,724,454,391,261,
967,489,311,001,628,944,310,396,370,691,068,792,230,545,247,598,700,902,099,
063,844,385,483,113,591,410,089,459,772,825,908,163,775,690,747,662,277,786,
622,091,573,371,815,731,657,374,036,056,742,218,034,624,577,257,623,583,540,
710,630,847,454,895,023,242,405,447,959,214,589,330,942,212,162,433,661,350,
813,913,973,078,077,777,111,678,685,625,544,337,888,042,132,955,707,401,454,
650,537,977,486,388,698,167,220,990,448,187,878,183,047,814,802,709,666,007,
312,609,448,159,802,412,952,413,490,136,624,755,067,959,196,740,358,481,519,
065,673,657,309,979,527,638,002,542,655,079,124,235,503,496,576,390,327,076,
024,656,562,152,817,394,263,898,296,799,740,984,696,110,067,220,434,387,581,
382,269,947,786,621,283,159,677,668,407,280,283,994,915,408,708,861,896,148,
933,231,929,685,496,163,734,644,173,445,055,920,987,472,837,357,994,988,395,
068,823,618,106,894,597,226,686,331,881,128,167,639,056,448,840,920,613,868,
907,326,984,741,302,916,158,147,542,906,612,947,159,644,642,114,516,253,789,
959,267,019,847,957,168,853,886,800,455,856,413,469,734,120,767,078,929,330,
666,466,720,680,927,992,209,105,864,295,393,225,622,451,107,985,474,387,288,
274,950,439,586,667,458,357,393,611,905,555,389,000,560,477,672,984,152,465,
137,110,207,325,194,916,473,157,216,075,583,079,021,091,189,600,404,733,408,
176,401,812,425,299,292,408,345,373,482,614,215,615,539,688,534,364,679,599,
847,437,660,615,066,559,084,448,692,187,572,139,285,120,065,841,622,833,364,
688,200,978,804,574,773,531,029,319,539,028,891,003,970,016,050,078,042,843,
526,069,864,382,245,193,064,303,201,843,864,250,900,283,739,353,702,347,875,
590,573,936,132,689,503,886,322,007,017,161,411,000,561,876,016,747,937,950,
496,552,982,559,997,220,715,817,027,240,451,789,434,047,512,486,035,422,485,
747,259,635,083,504,713,831,753,713,680,978,399,894,150,153,761,082,720,073,
946,003,152,657,629,571,208,103,490,934,576,928,847,630,588,981,595,951,600,
830,669,088,024,507,380,798,644,017,031,524,848,114,908,289,737,808,018,804,
734,824,710,972,333,818,593,316,584,421,390,669,952,557,778,271,142,230,128,
735,921,607,245,134,613,349,203,313,926,706,920,552,250,669,359,639,722,658,
748,967,955,872,540,696,621,272,640,202,798,590,085,113,160,724,240,552,105,
370,094,891,529,806,955,044,701,903,268,591,470,098,039,317,428,070,499,361,
407,440,907,842,951,241,832,559,415,301,622,795,601,609,009,120,896,910,138,
369,830,374,309,380,521,049,845,104,245,980,410,179,721,550,798,692,675,873,
997,167,951,946,433,279,017,916,156,109,954,864,293,293,447,134,040,838,357,
831,500,220,313,712,938,998,195,414,327,454,262,986,359,670,283,255,955,783,
317,003,565,597,081,596,446,129,639,461,320,979,366,731,643,634,810,326,700,
792,352,210,870,026,221,091,453,130,579,380,531,670,180,027,935,361,636,254,
901,135,536,889,113,738,813,952,808,479,976,325,776,731,062,603,774,227,790,
252,219,759,892,229,468,432,009,329,029,384,529,589,956,584,062,293,680,866,
659,096,190,055,788,795,603,036,432,199,148,347,881,687,819,863,035,905,979,
844,291,227,425,563,673,323,619,199,284,237,165,544,674,723,533,237,610,934,
983,113,351,717,741,326,599,196,079,399,163,328,627,146,121,967,935,934,328,
377,243,964,704,672,366,444,972,167,002,512,620,628,385,887,763,300,341,156,
906,809,592,396,884,096,690,518,133,950,111,250,713,847,557,681,272,534,134,
079,499,233,709,045,705,559,562,726,952,044,639,841,119,657,491,895,447,413,
389,717,744,612,885,598,556,145,577,497,548,323,032,842,961,420,260,094,601,
411,339,267,052,959,809,987,229,924,304,385,626,896,675,980,667,404,376,061,
987,626,680,193,468,609,888,373,674,907,576,454,928,415,702,187,324,514,623,
424,334,007,764,022,973,896,830,821,888,600,690,894,116,253,618,090,139,484,
257,421,122,892,030,313,021,142,280,398,721,246,609,825,566,188,996,395,039,
621,708,413,316,752,570,860,338,559,013,361,516,046,714,890,738,378,473,017,
687,342,409,260,444,921,769,183,095,965,908,104,655,973,554,368,826,482,116,
028,046,128,790,364,489,458,083,809,902,038,127,435,274,353,208,287,524,142,
721,420,157,082,862,870,147,539,436,240,526,012,389,556,808,611,507,886,693,
480,091,887,209,863,390,692,020,848,680,164,644,103,986,828,998,472,894,117,
719,704,562,199,122,185,703,311,270,884,486,048,169,362,918,858,849,914,083,
418,768,767,412,972,992,683,380,705,812,613,137,281,817,865,207,724,898,019,
604,191,546,266,990,622,207,392,139,493,027,580,056,607,658,102,549,311,236,
038,873,345,166,751,340,413,979,687,149,691,236,431,866,496,897,765,212,300,
071,967,693,492,850,365,209,735,466,797,241,849,641,435,805,838,296,738,669,
814,574,664,787,004,004,232,131,298,060,595,978,932,174,780,716,120,018,602,
683,027,106,228,054,317,469,773,606,975,568,918,346,964,128,679,463,906,867,
925,099,627,260,313,539,393,094,504,365,368,202,558,946,169,158,733,113,965,
133,603,148,904,780,215,829,413,840,022,457,982,618,234,171,045,262,716,130,
183,883,145,880,853,710,681,028,994,884,201,812,868,668,948,641,578,606,617,
223,335,784,644,647,268,267,765,955,041,538,737,291,232,502,163,706,860,190,
334,319,303,151,095,852,517,418,042,419,959,791,477,416,646,409,604,730,835,
896,264,208,077,679,656,317,486,637,214,162,253,459,505,675,499,663,345,027,
726,216,192,757,834,165,348,970,762,695,011,886,483,576,366,261,554,704,874,
263,713,803,860,278,302,203,584,484,941,229,659,288,199,702,981,365,758,384,
738,949,102,953,547,722,235,454,793,883,999,688,867,166,091,794,514,437,196,
509,341,579,578,098,062,658,614,936,930,869,875,280,311,598,539,330,910,888,
216,530,569,307,818,843,831,953,168,765,311,707,418,730,104,149,593,928,036,
986,493,067,155,442,841,453,080,010,391,748,672,229,353,478,415,699,255,416,
558,454,555,176,588,882,268,202,959,762,308,188,503,800,862,005,509,317,737,
682,803,944,457,570,269,250,091,589,526,450,246,966,791,552,229,494,992,788,
563,113,585,552,791,316,005,555,752,778,452,608,540,032,738,771,613,336,332,
785,467,179,487,234,845,228,944,472,278,598,219,396,694,131,361,992,379,473,
870,954,373,862,574,112,859,509,202,515,606,577,891,793,260,312,475,758,196,
489,800,038,096,693,070,564,965,756,768,635,889,078,374,182,538,996,441,747,
205,238,833,399,790,988,059,154,753,268,402,466,844,753,583,084,214,187,671,
924,720,937,322,039,833,429,656,090,739,763,593,796,779,631,203,794,248,461,
395,240,599,909,704,847,692,006,591,864,716,001,717,276,135,513,945,541,676,
554,424,928,625,656,703,754,078,292,507,827,658,358,930,101,398,166,172,656,
757,281,377,171,818,927,449,385,326,559,002,170,845,778,877,914,102,345,536,
423,762,197,744,914,318,284,268,848,517,651,996,246,885,064,532,897,560,866,
739,788,270,276,855,062,048,637,280,757,464,458,699,671,912,460,376,888,620,
966,077,432,114,416,390,343,518,154,225,281,463,172,760,913,688,499,392,252,
997,548,088,973,997,388,988,447,403,760,864,239,810,307,999,703,665,811,904,
368,484,683,380,783,399,627,549,940,605,794,578,859,699,778,100,802,300,386,
237,512,846,956,367,283,351,941,951,880,828,245,358,344,780,988,425,976,375,
423,058,255,492,145,161,943,286,179,134,635,433,281,754,633,108,220,512,480,
578,364,221,647,514,072,806,147,049,423,304,200,120,598,798,217,431,519,174,
993,185,860,709,944,431,862,393,652,846,780,694,759,358,393,889,556,828,749,
281,792,419,198,135,029,979,058,466,366,540,795,538,289,714,571,042,095,426,
045,869,773,297,590,214,884,345,765,821,158,542,122,403,093,156,726,447,379,
468,218,995,233,380,294,149,266,052,598,245,827,263,235,471,971,986,114,973,
119,659,437,056,623,680,472,451,282,697,348,183,039,014,219,500,292,112,924,
021,594,464,101,411,069,262,123,744,601,661,905,960,967,372,235,735,517,310,
950,972,217,113,822,303,879,097,290,283,268,300,948,009,358,583,792,709,803,
579,619,297,108,861,169,423,878,192,179,567,693,658,412,276,321,290,811,261,
526,286,400,726,790,429,182,468,534,932,865,844,549,484,191,361,777,296,890,
826,821,906,702,406,560,488,604,257,302,215,541,217,064,805,115,232,357,093,
272,829,125,810,119,069,043,273,064,194,828,336,701,578,306,839,009,619,853,
491,960,189,111,514,366,597,665,402,268,920,018,847,983,355,604,800,474,160,
191,108,011,677,340,836,806,441,049,232,449,044,170,418,884,211,321,154,719,
179,059,379,852,938,701,820,194,479,074,026,883,626,328,191,173,524,643,099,
291,216,314,133,894,652,257,208,604,397,393,409,345,797,014,899,866,665,153,
129,469,891,423,866,304,115,022,170,991,539,399,100,217,761,697,208,725,357,
729,735,273,612,166,482,078,791,220,733,441,912,813,188,571,823,750,349,446,
745,305,638,027,111,953,933,924,442,985,661,982,091,108,084,564,042,031,761,
321,684,810,653,773,609,539,579,227,198,874,741,919,885,297,255,006,667,323,
066,806,011,635,181,744,537,524,797,196,474,427,476,715,785,952,342,857,452,
030,060,868,952,826,602,421,089,006,606,288,013,348,361,307,953,351,231,246,
450,317,279,659,374,788,740,050,738,420,627,294,728,753,168,095,132,667,383,
270,813,934,309,026,777,969,817,587,753,908,448,402,651,834,896,318,914,262,
671,448,432,355,868,118,762,351,194,948,816,421,055,495,991,306,932,887,173,
397,915,253,728,796,903,838,706,340,049,061,585,740,908,700,706,222,772,898,
327,528,270,562,312,480,119,307,077,157,592,848,913,837,387,958,306,594,544,
014,054,592,439,017,372,231,783,041,463,458,904,176,831,084,403,155,431,282,
055,981,807,088,050,232,040,485,594,711,059,990,785,753,763,516,691,792,993,
827,806,211,226,391,326,775,849,998,262,352,579,110,642,240,825,663,920,547,
172,716,990,897,829,786,518,748,345,696,362,722,650,499,113,131,395,063,059,
115,574,066,146,376,655,976,394,746,222,312,750,663,875,448,610,580,210,437,
487,910,025,659,138,150,802,481,304,908,421,232,768,795,511,175,318,733,000,
679,468,340,729,678,044,214,650,665,329,289,108,231,358,765,729,895,305,789,
948,269,599,197,028,606,835,156,219,109,201,878,231,939,922,914,252,169,039,
879,509,662,208,537,003,060,950,031,680,767,082,885,398,937,898,426,073,377,
128,141,650,636,593,271,973,176,545,550,834,103,756,278,848,641,900,320,892,
887,710,240,383,735,675,304,649,053,129,628,794,639,335,191,448,210,098,739,
610,878,203,053,470,134,363,590,074,039,199,345,282,359,869,821,975,409,913,
414,758,104,928,141,066,841,994,829,981,051,671,655,635,783,380,971,814,893,
418,881,507,218,252,617,216,817,861,525,552,822,515,511,125,883,326,937,938,
149,319,554,275,379,592,407,940,536,562,096,802,583,598,458,162,849,952,732,
951,802,326,409,326,816,367,867,750,397,526,237,501,776,619,960,952,998,136,
765,867,996,707,275,332,766,625,237,249,603,278,207,241,293,941,966,590,518,
226,857,804,653,906,272,064,063,961,874,972,390,943,103,661,313,439,539,714,
848,119,811,403,595,948,924,934,262,953,185,065,053,696,849,645,096,660,865,
811,492,417,342,898,947,107,178,614,337,110,113,350,097,775,737,970,572,256,
576,510,295,966,546,686,971,399,341,655,580,050,835,612,320,966,450,439,252,
596,745,345,650,239,137,121,925,057,550,141,682,580,502,641,425,332,487,797,
234,837,083,635,138,194,157,845,799,677,406,551,363,878,080,806,696,859,490,
829,379,732,043,203,559,906,917,099,263,197,751,651,596,501,803,305,531,012,
237,627,089,366,961,400,475,577,601,134,219,373,392,932,390,699,249,599,344,
421,476,562,954,075,765,096,415,412,571,193,807,690,775,297,091,443,855,725,
002,042,140,053,369,582,128,070,761,074,262,693,649,271,163,176,666,133,316,
455,482,493,581,136,575,692,600,833,769,185,526,522,640,112,903,195,005,297,
054,827,980,295,212,870,253,237,399,184,718,516,054,597,400,370,345,908,696,
971,413,840,535,181,781,133,494,235,140,256,392,456,040,372,805,471,628,615,
344,090,554,519,109,899,868,670,311,090,072,177,810,960,588,312,176,667,768,
763,560,807,391,496,088,511,817,432,724,506,641,058,473,057,653,849,134,272,
353,058,098,565,782,794,046,216,763,984,854,155,385,353,629,437,758,784,695,
263,345,339,709,836,855,519,292,307,422,537,183,950,241,075,282,940,025,762,
637,013,469,410,919,068,636,415,243,889,067,499,337,393,893,685,923,314,830,
565,199,219,522,777,743,200,475,524,621,080,000,470,063,144,692,618,183,962,
288,829,460,131,790,362,126,597,920,185,157,268,920,426,710,256,783,262,514,
482,673,035,417,128,949,716,691,037,982,764,294,698,784,890,872,033,631,592,
991,145,554,890,066,051,911,770,534,902,591,876,389,895,347,938,735,649,204,
228,790,109,023,385,811,032,919,313,232,110,477,722,255,587,598,185,700,837,
160,407,634,668,048,277,121,543,710,455,647,548,191,177,727,994,097,598,734,
741,076,905,711,115,197,622,268,765,694,532,837,231,715,440,458,911,547,200,
517,924,057,552,320,474,138,757,053,741,580,041,861,548,787,681,841,450,393,
867,639,533,021,646,101,518,379,049,872,751,930,143,349,873,580,348,971,344,
984,873,052,943,474,808,836,072,380,790,506,516,317,637,768,623,788,218,848,
008,968,125,199,024,203,655,640,004,407,898,504,947,546,491,042,383,532,306,
988,763,136,065,073,564,547,332,243,352,801,576,065,051,050,766,481,050,760,
357,440,543,024,597,552,982,901,128,151,938,914,718,641,341,260,709,489,288,
581,422,736,327,748,345,301,907,304,284,344,317,376,667,674,065,250,441,948,
809,692,771,615,953,042,649,585,819,145,480,803,638,851,182,836,559,286,965,
167,523,333,815,607,554,736,668,066,325,828,242,083,771,113,563,767,838,755,
496,786,039,470,442,893,846,998,297,812,229,915,875,620,705,709,685,817,934,
220,655,643,207,961,233,428,373,562,242,353,409,456,807,587,516,210,933,613,
142,989,999,402,039,618,582,970,396,389,409,147,251,208,999,136,322,296,147,
816,997,324,675,078,794,366,686,145,120,095,919,727,128,436,029,289,444,034,
640,439,932,887,567,991,394,951,616,522,244,522,235,684,663,246,458,587,809,
545,315,826,065,017,655,248,449,461,345,055,759,251,424,373,922,921,257,809,
564,711,809,959,495,113,288,409,457,958,885,663,665,403,304,044,293,524,728,
458,030,399,194,946,539,731,786,768,724,311,785,240,094,330,975,335,091,443,
983,601,094,924,731,024,738,054,546,363,954,709,278,476,902,038,828,182,588,
789,514,743,150,425,860,984,798,044,891,662,339,959,327,986,062,182,197,220,
338,624,406,461,840,890,741,925,241,766,661,309,029,638,706,046,355,729,233,
121,486,453,309,859,480,124,987,019,519,892,071,677,101,178,970,288,839,603,
791,589,535,702,435,723,650,680,812,871,361,453,347,384,114,544,415,498,805,
696,698,578,530,894,376,634,295,776,532,974,907,950,784,827,385,215,064,124,
089,789,506,949,246,049,854,550,741,838,227,799,378,745,666,862,935,387,004,
680,606,595,736,188,160,757,968,592,348,044,210,347,422,723,593,539,972,134,
511,909,548,497,596,007,743,928,267,345,126,377,291,747,164,975,817,531,879,
998,055,246,402,511,922,999,654,908,850,227,262,224,702,043,025,547,950,242,
848,429,233,259,905,813,729,710,550,804,291,974,987,077,207,794,228,109,193,
773,141,721,917,287,222,591,469,912,578,209,689,840,043,415,075,849,653,455,
492,818,002,975,173,109,890,612,108,105,273,011,143,089,588,284,540,441,373,
287,429,256,751,375,406,961,004,292,618,812,600,755,546,293,282,791,382,299,
487,794,605,862,518,071,084,334,946,405,131,156,869,641,594,814,121,390,648,
343,248,027,550,361,322,492,141,731,866,163,844,084,216,767,401,581,088,949,
984,082,103,732,816,258,777,521,758,394,772,139,316,347,208,554,240,615,236,
536,380,612,130,722,857,507,700,084,452,969,736,510,496,725,563,576,836,941,
388,566,724,724,199,995,585,384,005,817,763,114,127,805,832,567,098,781,631,
963,177,204,044,129,559,711,971,606,227,231,370,714,469,872,959,176,360,939,
333,958,219,292,272,794,556,653,853,989,730,946,796,706,955,940,506,615,536,
195,010,685,894,737,278,922,890,320,942,964,799,519,032,902,996,536,314,955,
718,089,491,685,321,647,166,570,498,408,725,236,946,767,419,040,623,942,181,
527,818,415,644,536,002,970,794,475,628,164,006,487,614,595,636,153,130,499,
374,679,574,460,460,187,765,095,817,273,136,622,407,443,524,815,656,856,822,
099,352,464,973,474,609,338,351,588,416,454,938,722,025,466,720,965,957,283,
839,108,076,689,142,709,045,381,783,034,519,999,587,611,989,339,415,908,772,
271,385,150,972,336,986,272,538,155,286,152,508,314,849,578,390,729,333,669,
820,978,227,095,457,254,127,307,890,259,301,294,720,883,871,927,968,403,352,
642,374,972,085,556,711,172,427,994,415,822,545,085,107,964,317,741,420,280,
635,457,184,188,446,492,412,477,003,264,039,058,214,168,237,187,508,097,595,
545,153,179,582,781,502,755,354,740,224,211,370,802,412,680,607,913,955,106,
248,641,091,438,241,299,254,096,607,482,452,164,849,642,843,015,858,273,999,
922,529,034,355,061,357,592,700,805,898,197,680,863,589,700,520,951,909,528,
826,254,768,108,537,978,284,469,226,973,267,168,312,239,618,275,203,773,248,
673,561,662,637,563,440,103,094,382,824,516,879,628,875,896,289,172,684,716,
980,193,569,172,592,988,546,940,421,448,633,714,446,036,896,244,831,366,159,
569,508,838,456,435,238,821,910,650,299,266,445,401,156,305,456,497,172,105,
402,010,494,545,442,905,269,217,734,262,545,613,461,289,662,820,258,650,130,
824,988,202,344,899,741,637,324,000,991,724,333,116,589,687,884,553,883,553,
334,812,264,152,909,659,270,596,413,160,187,986,691,216,779,725,441,504,882,
392,502,826,601,207,783,090,263,747,216,340,174,842,079,213,348,169,848,349,
232,910,750,903,758,201,250,458,198,505,624,612,254,545,687,258,265,721,788,
624,801,991,256,914,635,387,040,209,930,254,694,895,487,800,695,779,819,987,
826,909,866,420,569,614,587,492,234,761,071,881,831,049,820,615,290,615,706,
596,595,121,369,381,713,867,165,177,188,140,374,564,473,453,077,937,563,084,
720,233,440,356,863,508,223,251,421,555,895,037,323,435,730,125,786,497,503,
980,527,431,225,759,534,525,670,929,351,799,270,844,998,811,757,619,261,403,
210,248,990,492,156,491,596,960,319,318,273,970,986,667,344,816,421,100,202,
055,474,399,652,409,872,393,268,121,150,470,427,136,900,517,019,281,365,877,
062,319,451,614,654,484,030,923,261,871,356,783,055,716,474,418,077,790,224,
157,160,626,758,170,652,953,827,048,409,416,588,566,011,790,321,171,742,023,
866,295,593,324,438,897,718,423,647,023,457,973,891,687,237,262,631,218,460,
338,574,034,967,206,124,968,554,437,741,162,466,628,049,844,909,291,693,802,
467,559,766,317,790,685,432,610,032,816,281,866,536,432,386,657,063,564,295,
471,056,380,392,933,950,976,356,221,699,179,997,690,907,822,921,426,672,743,
579,798,530,102,935,172,244,150,856,869,802,212,851,676,225,724,939,395,653,
182,411,737,095,370,790,112,543,675,897,005,769,242,611,883,409,396,261,642,
669,290,739,767,537,433,779,731,345,541,455,733,484,616,301,247,063,306,503,
930,925,939,070,954,876,940,729,010,291,755,550,742,297,565,276,965,112,262,
382,363,891,716,941,987,088,853,001,487,885,971,847,024,313,417,377,331,954,
771,819,039,957,303,025,275,339,978,212,942,423,170,558,576,311,003,078,629,
932,796,862,635,602,324,648,534,454,253,057,838,804,557,549,343,634,331,612,
796,909,660,314,553,247,190,562,100,974,561,909,176,345,260,690,089,383,459,
586,131,249,734,516,388,147,241,114,743,726,657,936,487,007,134,309,864,181,
227,798,646,789,495,189,230,833,144,621,817,684,134,715,997,644,009,453,074,
391,415,638,615,756,031,407,174,444,101,446,010,754,451,371,479,989,867,357,
977,448,294,949,638,290,442,984,099,527,853,080,167,144,481,003,576,971,354,
429,901,235,183,150,506,508,737,542,177,199,362,326,445,360,135,781,498,136,
540,876,051,332,133,125,538,716,487,981,363,430,310,430,065,062,493,345,960,
227,971,578,322,333,333,697,440,917,128,897,521,766,098,951,433,631,049,603,
875,238,551,557,463,948,062,762,566,677,773,815,307,198,590,987,620,785,135,
814,207,169,821,712,293,963,865,120,166,945,991,836,367,071,153,604,113,691,
443,006,031,937,682,943,380,901,912,162,782,855,736,710,456,192,414,282,238,
217,163,246,138,611,145,908,494,198,694,282,384,868,678,525,878,019,189,460,
866,668,752,196,291,657,676,851,462,155,456,884,022,583,558,170,992,875,651,
926,773,234,317,243,014,287,657,643,233,846,941,496,685,845,088,666,852,736,
138,511,871,847,379,082,511,601,297,946,302,074,600,029,591,052,671,284,365,
531,046,692,284,757,360,560,810,546,865,808,565,760,979,728,445,563,193,856,
833,977,815,081,701,646,782,728,787,964,945,748,054,812,357,059,267,199,352,
009,249,086,376,620,855,648,263,046,099,223,647,553,171,007,593,275,360,147,
110,844,186,814,372,073,576,149,132,340,598,481,776,085,369,912,484,869,118,
922,249,857,558,433,289,045,444,415,184,643,151,669,933,919,091,697,148,590,
096,916,415,038,231,126,176,477,118,211,672,105,449,498,258,435,356,167,467,
097,368,557,532,713,002,753,609,226,933,741,267,816,193,392,115,807,251,948,
058,079,011,933,335,853,611,491,655,741,189,167,942,789,395,060,522,350,260,
482,034,694,026,464,170,009,652,166,438,883,180,407,052,728,333,452,842,545,
708,837,844,307,533,775,885,552,091,712,675,365,612,405,097,757,422,631,928,
159,837,411,170,729,260,801,363,822,197,668,695,588,833,949,588,802,814,634,
678,608,043,225,021,646,518,277,006,906,773,821,577,982,663,095,207,743,713,
208,895,179,793,635,902,733,178,189,087,420,512,936,164,256,527,015,244,800,
094,114,296,782,315,639,370,941,340,410,059,667,291,422,242,231,565,481,095,
143,867,906,440,173,258,508,987,510,175,966,402,891,455,643,490,219,701,480,
164,143,427,130,555,662,224,748,434,813,677,424,775,639,439,291,825,363,592,
142,578,618,959,909,111,549,114,419,410,010,311,087,273,753,603,920,475,836,
765,822,317,522,865,443,190,997,870,343,479,345,868,986,384,280,978,173,730,
065,533,060,175,102,651,099,999,080,872,029,085,140,359,364,986,829,732,559,
396,119,366,400,212,442,186,044,954,955,926,712,698,857,755,972,641,411,424,
203,407,227,659,711,324,057,844,474,831,813,528,979,946,745,762,292,750,525,
574,250,679,501,796,626,369,857,933,263,999,085,382,719,375,765,007,946,994,
813,366,011,492,472,710,355,600,273,337,210,055,644,603,791,697,408,994,048,
774,910,517,973,888,812,525,355,283,811,112,905,781,874,791,599,330,414,369,
840,313,656,487,546,973,952,672,393,523,899,926,145,408,624,637,937,518,717,
273,244,802,488,680,344,265,940,425,053,229,185,260,787,260,280,995,338,127,
058,399,285,146,857,561,080,576,302,999,886,405,261,211,797,548,947,355,533,
173,441,195,741,382,075,057,423,605,866,644,724,144,963,379,682,580,319,021,
669,788,023,826,566,046,883,393,507,562,559,551,186,393,868,608,492,667,985,
208,140,366,537,938,013,522,405,951,703,859,852,015,791,090,995,033,555,783,
832,312,384,632,560,992,531,881,991,125,095,952,047,221,776,274,352,354,151,
477,135,452,967,989,534,115,226,560,896,422,436,701,601,996,513,197,035,059,
450,131,987,297,869,928,803,004,331,578,983,477,033,014,722,418,597,364,907,
787,989,398,429,150,354,265,619,945,014,332,319,829,188,553,619,307,468,701,
327,132,582,054,087,609,569,519,880,638,433,424,080,793,872,510,664,656,559,
649,602,335,658,043,163,016,253,764,578,373,498,404,675,419,518,086,449,850,
571,497,735,977,196,308,957,784,737,018,774,917,592,223,350,110,184,903,125,
859,169,266,126,151,189,435,628,104,083,621,962,688,687,540,301,355,392,538,
321,651,073,662,337,849,425,427,860,074,986,648,126,046,871,005,496,104,920,
618,825,674,603,927,114,159,343,913,421,197,288,723,474,302,782,976,249,966,
997,302,483,134,488,574,480,146,195,528,554,382,328,717,885,156,613,532,746,
916,492,405,321,952,221,058,590,653,611,654,544,917,522,825,782,292,197,363,
308,259,706,350,096,825,400,083,297,610,416,122,508,844,890,706,434,026,283,
824,677,903,581,212,804,469,194,044,259,561,360,341,582,880,419,987,163,805,
820,542,140,182,268,301,165,945,612,805,228,770,188,598,068,451,087,704,682,
249,498,695,506,999,565,410,068,162,096,164,157,573,318,393,612,240,101,718,
071,384,067,164,186,610,939,393,934,523,960,550,752,748,934,393,272,851,983,
828,636,418,388,521,260,271,488,133,316,160,003,462,469,545,267,549,443,169,
191,697,249,895,454,865,097,132,495,310,262,939,286,401,396,311,228,920,625,
452,445,729,229,478,384,482,934,992,733,938,007,850,057,460,311,208,808,519,
841,445,451,074,042,893,228,604,491,436,231,022,491,469,946,549,093,750,034,
503,261,049,067,340,945,673,252,988,325,977,980,680,946,206,861,834,879,392,
109,465,240,277,780,161,870,841,729,318,186,816,847,071,246,535,140,421,638,
538,594,757,440,201,916,465,797,593,785,579,350,273,836,797,799,670,223,219,
064,208,318,865,779,137,262,636,883,202,922,015,344,782,448,111,578,018,829,
940,829,238,537,311,359,055,363,436,218,299,096,995,774,048,886,269,714,485,
531,254,423,223,108,129,723,089,765,978,394,395,700,981,128,230,087,752,420,
025,121,860,085,964,286,274,770,958,604,607,122,783,074,954,369,228,810,767,
860,244,933,144,412,662,897,555,233,199,456,742,030,707,525,363,444,905,158,
518,805,742,675,852,864,139,845,526,306,783,095,424,168,724,137,568,734,609,
586,954,828,796,972,663,385,438,769,714,499,289,374,322,533,300,645,899,944,
794,936,562,226,525,388,519,868,966,398,537,790,153,036,828,904,371,393,117,
759,356,285,735,027,114,657,663,194,811,787,211,356,514,657,435,624,748,643,
995,869,637,431,294,928,343,974,809,345,715,593,128,104,556,678,955,256,048,
213,532,095,136,432,918,650,047,263,503,223,646,854,030,472,517,742,480,159,
859,347,803,102,254,462,851,541,478,681,325,335,317,412,763,794,162,088,524,
403,208,258,570,981,295,637,570,667,808,514,448,446,309,055,898,950,903,454,
308,029,961,328,075,834,550,561,106,535,463,789,373,352,011,063,916,182,348,
159,828,193,487,949,831,358,607,783,523,193,268,166,333,468,206,232,660,596,
726,179,338,279,032,984,631,394,427,118,630,879,813,786,984,104,977,854,780,
762,738,901,524,751,448,532,492,034,007,036,681,814,723,370,988,583,177,040,
852,240,654,449,244,129,625,474,161,130,818,779,882,022,704,920,849,016,999,
553,158,279,850,853,227,270,604,198,123,695,274,049,212,761,408,040,391,956,
074,176,981,924,953,245,964,489,405,190,490,929,001,116,672,608,306,619,458,
734,526,274,696,754,830,537,177,075,256,896,063,337,237,697,918,009,809,201,
663,026,524,008,432,264,755,664,353,860,661,658,962,742,267,759,843,241,033,
387,361,070,594,448,075,881,854,706,408,657,474,344,638,186,025,714,820,645,
648,653,084,227,705,806,029,931,903,789,954,100,337,486,450,772,860,257,429,
285,274,682,759,025,450,690,864,059,897,567,844,593,029,828,063,876,740,755,
735,245,272,837,864,015,707,134,021,070,922,250,522,751,843,454,936,810,975,
474,433,339,675,762,864,748,808,179,756,444,661,746,606,780,032,503,863,979,
345,853,961,640,656,193,702,752,348,842,696,258,325,156,181,172,390,316,687,
949,103,686,894,073,608,557,551,227,960,464,728,964,311,730,844,545,580,179,
906,819,921,155,239,128,757,959,614,280,479,806,847,522,092,978,710,930,534,
195,743,951,159,717,669,721,929,498,117,874,521,618,699,219,211,325,927,698,
941,769,412,967,254,267,500,988,927,809,377,716,494,795,032,715,840,062,062,
523,626,198,133,903,187,672,213,703,426,027,929,610,312,233,413,756,233,467,
285,074,355,990,748,190,648,937,690,996,843,878,675,687,730,660,753,530,623,
520,301,628,915,257,909,574,890,963,601,985,369,807,649,784,442,104,787,860,
137,508,566,481,646,915,440,312,757,078,378,480,365,233,608,107,601,967,271,
357,416,565,090,409,436,144,912,632,542,859,790,379,220,930,328,517,985,664,
099,211,551,384,401,571,748,099,553,833,111,397,039,201,096,031,140,955,841,
365,356,938,780,937,582,191,239,421,796,338,827,584,871,389,976,131,938,668,
077,965,613,713,648,096,070,160,215,783,962,679,448,954,321,464,446,642,460,
620,974,760,103,466,112,306,635,243,698,050,688,534,905,081,874,898,551,449,
944,715,618,912,414,475,507,869,175,825,432,044,817,511,875,448,524,226,276,
011,418,666,320,168,724,872,795,430,347,780,378,980,205,100,283,581,495,816,
981,466,243,810,317,938,635,970,814,142,286,548,081,749,217,902,769,305,968,
219,864,717,248,622,292,221,143,086,118,308,882,672,027,432,885,445,941,970,
112,608,570,017,901,667,605,741,364,502,137,483,581,127,740,921,395,229,962,
268,140,426,427,855,672,885,070,726,480,709,909,587,186,155,824,458,953,529,
033,688,428,257,661,675,131,283,573,795,433,285,102,463,181,692,331,373,467,
512,379,446,440,260,047,794,900,712,181,976,523,447,548,096,985,333,034,405,
611,577,366,777,838,664,175,451,056,285,451,797,730,347,325,249,362,341,397,
633,554,326,236,575,149,266,749,056,445,729,066,046,389,579,280,472,573,882,
873,270,539,160,990,254,582,122,192,931,254,554,564,724,074,853,085,472,183,
262,544,087,564,238,641,849,649,095,556,257,110,602,446,609,283,374,597,292,
230,676,505,564,465,622,080,602,794,874,806,391,637,325,299,808,505,227,585,
211,962,503,095,027,881,121,048,348,183,674,871,817,383,757,655,805,117,247,
971,441,834,006,342,976,427,256,223,186,953,851,744,586,992,842,864,219,332,
997,356,734,372,192,139,963,273,492,683,663,444,943,345,006,037,790,232,843,
331,478,386,469,608,303,432,258,017,442,414,592,724,456,927,696,660,471,480,
329,353,533,525,718,957,396,436,626,790,276,367,266,013,973,193,870,791,215,
325,592,693,632,863,892,124,048,596,429,562,813,067,438,637,468,319,322,993,
032,070,321,028,469,538,663,962,044,508,885,753,473,058,929,457,635,021,009,
190,469,891,172,150,534,084,341,396,147,798,034,296,752,451,038,798,876,306,
810,838,978,404,432,269,990,784,820,858,495,502,504,932,433,474,443,500,341,
646,221,936,459,941,499,444,013,517,285,386,518,041,101,386,763,199,323,071,
061,879,534,004,172,962,942,659,823,910,509,649,895,140,501,311,683,136,661,
755,846,311,351,391,198,889,913,324,650,691,966,313,048,687,859,304,169,603,
981,204,705,083,176,487,607,240,715,656,335,673,759,266,010,324,876,249,087,
071,987,335,435,104,915,166,546,656,720,496,364,981,047,781,086,563,239,218,
110,215,770,221,519,342,969,656,406,019,022,050,176,349,751,139,478,438,808,
148,876,744,556,256,133,228,414,253,750,617,498,037,325,397,682,451,514,992,
191,266,357,834,567,725,802,345,520,395,647,523,160,894,741,020,168,220,442,
760,072,603,205,144,482,379,422,048,470,199,139,189,815,130,964,202,819,177,
138,334,242,483,854,191,804,278,400,487,320,026,204,053,711,370,072,443,621,
974,503,435,685,280,518,235,472,887,231,828,169,979,053,358,525,927,814,767,
264,269,267,615,307,281,991,724,322,204,859,655,303,782,498,723,233,272,546,
329,699,294,999,364,758,996,026,921,067,643,658,934,091,951,668,599,571,913,
146,404,529,220,576,295,581,951,043,286,721,618,929,860,901,744,599,222,297,
991,319,289,812,748,179,250,582,355,549,068,580,483,299,037,560,081,317,476,
719,495,930,960,756,524,688,331,808,727,481,445,906,070,041,837,065,282,295,
178,322,546,651,366,994,545,017,603,196,046,337,888,604,729,783,728,716,364,
936,448,378,828,678,781,795,390,364,134,786,044,700,699,474,824,418,258,172,
340,099,975,105,454,303,224,220,255,039,373,852,091,750,664,859,908,059,099,
453,144,804,174,197,561,622,348,224,005,762,386,720,700,645,525,837,406,197,
950,077,728,608,158,630,102,825,789,923,255,440,463,461,697,842,070,798,619,
491,507,655,306,200,035,898,553,428,985,808,935,766,850,859,950,405,723,383,
303,977,219,577,001,613,029,602,375,278,822,035,597,134,004,029,612,757,867,
880,552,059,618,250,153,122,148,938,683,872,494,931,310,852,365,068,331,556,
979,361,589,484,311,218,556,980,923,852,939,248,527,371,515,632,874,882,994,
897,815,703,503,523,806,172,780,880,392,091,863,204,148,699,080,816,938,502,
695,607,014,877,946,354,153,573,961,416,702,124,293,091,884,006,512,912,577,
045,222,144,433,743,775,002,448,416,198,646,021,007,649,404,410,990,272,567,
915,053,978,695,901,642,122,119,972,781,849,285,367,347,208,093,993,376,068,
843,047,656,468,768,427,519,003,208,110,990,226,658,968,025,593,918,211,411,
850,885,959,140,237,296,415,902,374,477,334,486,941,058,540,320,152,028,790,
221,475,372,187,614,909,787,346,759,014,847,073,725,457,645,774,775,996,593,
602,194,028,490,490,514,690,361,647,284,779,801,341,321,553,861,392,400,380,
698,430,406,220,144,584,256,379,598,860,811,655,953,493,344,628,172,041,313,
556,377,811,266,544,106,178,675,524,248,375,815,098,895,256,174,598,818,909,
666,274,784,117,508,041,863,905,452,744,987,656,204,247,979,531,391,245,120,
444,138,027,596,005,774,271,584,592,063,149,584,185,272,541,485,604,849,685,
465,305,606,194,584,040,879,448,755,058,202,651,425,877,329,365,976,353,746,
284,599,477,222,757,778,175,850,059,047,137,205,339,419,661,106,116,576,184,
980,855,601,838,423,176,393,550,190,305,623,372,661,216,803,910,846,951,580,
995,871,458,023,581,324,753,340,866,223,284,948,069,867,019,146,132,512,394,
338,901,816,978,763,969,124,803,447,433,944,270,132,421,385,354,791,262,568,
113,348,457,728,672,719,247,946,309,095,576,529,435,566,433,079,184,289,133,
073,857,453,696,728,119,759,068,903,160,506,388,065,156,646,003,575,420,085,
018,973,363,010,108,397,482,045,511,606,695,806,559,959,764,030,948,593,338,
479,599,033,982,032,043,634,511,796,192,160,589,446,943,306,743,625,731,844,
316,970,353,504,545,782,111,132,129,684,663,078,510,474,731,218,530,549,660,
740,718,239,808,049,951,783,031,020,312,921,849,984,716,220,512,138,804,294,
838,653,031,933,990,508,773,964,285,366,287,083,805,768,913,312,578,724,267,
812,077,183,118,781,971,386,187,774,909,664,403,604,897,687,576,112,762,584,
245,235,358,118,691,505,779,444,130,713,452,536,410,764,859,430,576,629,137,
275,135,838,296,178,066,359,280,466,160,910,736,954,364,528,892,662,981,398,
635,621,530,790,123,229,874,705,618,577,439,338,989,174,758,273,717,321,102,
930,791,061,902,848,361,008,168,266,526,253,439,845,982,507,470,545,986,891,
664,353,818,203,391,570,648,297,652,522,110,896,207,449,886,585,952,997,595,
225,001,519,347,623,906,801,595,089,459,027,922,756,744,105,621,903,083,528,
030,880,842,433,086,114,522,409,929,202,445,640,621,181,827,700,158,839,227,
306,272,168,393,411,447,475,182,202,028,874,836,037,862,288,280,725,432,534,
936,032,566,607,312,980,083,797,960,630,301,741,997,887,584,579,486,469,192,
583,666,460,742,351,878,263,759,352,130,738,781,100,715,756,944,490,243,961,
019,106,113,756,045,896,290,818,805,520,233,068,121,280,188,790,249,215,296,
280,392,488,359,070,392,435,022,300,544,888,435,574,073,952,950,175,143,842,
472,337,615,891,906,860,227,355,683,272,531,295,229,995,679,138,709,660,252,
840,427,725,874,537,145,974,862,111,237,557,672,083,177,811,084,714,640,723,
322,130,937,906,619,995,984,333,536,467,085,837,725,512,421,067,255,766,910,
059,603,815,145,160,782,968,729,550,905,224,690,834,196,658,769,555,233,997,
706,043,868,653,594,914,739,917,349,226,161,369,473,195,482,784,781,641,398,
594,712,937,758,908,711,535,632,821,795,460,967,571,733,853,306,120,281,521,
958,821,618,831,682,261,902,520,319,970,368,623,033,924,940,994,673,804,890,
227,685,044,243,217,217,802,272,160,310,255,306,950,842,794,308,265,686,121,
552,614,754,625,831,626,878,569,739,706,071,542,572,514,458,620,921,267,763,
461,949,620,611,499,813,502,349,721,048,081,046,027,177,435,248,146,547,053,
386,129,393,651,724,987,870,742,455,747,378,561,782,876,153,211,279,155,618,
658,660,047,104,508,139,710,157,370,206,384,113,074,307,286,323,313,989,895,
620,102,423,759,632,824,056,437,502,618,560,405,782,153,780,216,351,754,092,
067,098,832,609,663,006,829,873,999,438,384,516,126,923,350,231,346,994,565,
154,404,625,888,688,287,515,814,694,445,208,156,664,355,489,252,846,725,023,
771,876,657,429,809,253,582,609,575,186,958,966,036,456,892,533,416,578,965,
072,311,058,274,024,398,038,841,869,545,308,730,943,379,460,690,069,077,592,
229,041,819,062,385,470,760,981,137,276,989,274,816,105,818,461,223,535,137,
345,894,506,328,546,704,260,402,150,692,578,524,446,681,750,826,217,390,515,
607,337,939,390,177,850,206,277,633,028,963,792,871,846,749,679,914,245,105,
969,646,751,828,864,124,886,263,252,289,250,908,306,191,189,168,420,087,473,
393,607,273,361,832,219,750,208,158,963,837,803,539,769,575,017,260,549,806,
052,834,935,946,067,130,030,523,041,237,212,324,704,734,630,573,567,845,640,
638,802,046,219,699,643,964,483,503,175,440,188,732,210,844,877,976,788,760,
079,438,754,990,782,182,497,779,045,930,024,865,648,768,925,197,438,691,595,
721,051,018,583,038,413,954,123,259,154,846,154,598,181,882,700,812,440,301,
481,521,685,796,189,218,345,203,911,973,989,796,917,522,678,230,929,068,923,
260,110,070,355,993,061,022,215,870,296,884,610,173,875,117,771,475,246,646,
705,121,106,532,200,240,449,239,043,178,165,899,931,301,799,604,372,991,243,
823,911,047,261,643,553,382,045,955,348,843,896,513,944,656,839,750,527,596,
591,220,209,665,322,153,066,106,750,143,627,430,184,524,103,588,732,871,046,
092,040,124,181,155,716,249,072,091,552,985,495,516,590,046,128,961,236,634,
240,812,464,221,017,897,210,503,394,992,445,657,046,771,148,139,392,690,774,
152,398,496,774,212,322,036,618,354,299,213,762,612,567,517,348,173,387,077,
240,083,517,939,879,936,080,718,175,322,846,548,559,602,953,741,931,548,823,
189,207,153,435,862,396,426,256,514,970,649,731,432,095,206,812,816,477,979,
938,136,999,638,068,492,738,962,719,664,661,441,929,976,629,050,027,528,569,
905,326,722,469,326,018,736,386,675,681,148,248,691,616,797,481,501,449,198,
264,108,086,132,045,709,433,362,788,389,432,066,096,201,064,105,446,608,111,
997,340,755,515,442,269,683,840,723,085,703,311,615,202,053,662,903,051,268,
858,475,490,631,457,443,212,407,824,630,322,977,937,449,216,621,202,091,399,
812,491,268,842,470,883,728,522,165,049,813,502,129,916,823,989,074,128,861,
613,041,575,362,010,497,758,067,439,915,359,091,137,657,487,511,031,995,331,
109,732,258,754,613,742,688,702,207,255,205,646,276,151,702,121,127,362,968,
683,122,762,498,173,912,375,725,091,631,374,877,702,242,527,003,037,235,200,
573,918,676,910,351,412,689,834,290,909,219,804,826,605,340,820,239,708,674,
142,302,314,721,269,409,524,399,449,726,115,459,218,919,380,167,188,970,935,
441,280,972,893,704,048,663,268,380,828,050,325,179,339,841,925,731,395,399,
878,516,185,958,741,912,267,743,115,298,518,968,244,083,012,850,171,942,111,
827,966,650,854,399,548,928,998,143,394,796,849,886,104,531,467,738,667,962,
537,565,701,896,602,770,097,256,595,785,352,295,681,938,966,622,955,677,905,
933,766,638,203,851,676,095,617,303,143,642,108,217,068,053,386,837,390,124,
140,326,744,733,518,907,992,611,891,649,977,866,185,175,198,662,180,245,390,
346,638,810,597,529,670,357,680,556,302,666,857,794,324,348,131,317,840,193,
475,880,674,919,070,376,694,611,383,772,668,062,715,217,910,533,514,034,957,
421,171,120,398,118,368,524,083,444,646,066,232,407,371,443,928,992,663,709,
745,150,979,538,960,705,135,348,170,437,506,946,732,504,927,128,997,690,704,
155,419,733,046,171,707,860,654,457,618,344,328,376,491,554,480,714,105,942,
255,313,695,413,979,240,425,831,352,698,736,127,673,957,143,372,939,323,458,
358,364,906,691,827,878,185,251,353,472,931,119,181,729,921,289,871,247,523,
194,872,454,421,956,255,290,899,873,415,269,536,759,252,195,772,379,425,616,
466,838,673,430,485,069,046,995,711,480,937,518,897,759,788,417,154,398,551,
347,464,495,869,653,137,009,528,457,006,014,309,163,527,440,269,157,630,117,
813,718,449,746,073,700,256,043,010,751,958,290,854,305,838,739,041,316,035,
125,485,145,673,076,208,233,858,751,960,179,131,541,467,989,885,479,902,064,
534,529,995,191,053,617,891,894,155,489,356,054,913,554,512,223,678,565,151,
606,117,689,668,075,826,847,492,484,630,266,687,710,892,325,102,945,359,537,
235,264,403,325,057,116,841,006,487,471,488,894,361,135,348,754,201,008,516,
378,336,144,679,290,292,159,379,253,393,842,909,449,686,853,387,151,340,824,
178,899,267,582,965,799,673,691,680,820,518,990,608,945,361,345,941,260,223,
322,671,420,436,238,938,159,972,461,729,344,058,914,203,131,626,218,644,378,
420,244,056,877,898,615,149,489,117,930,307,499,187,472,115,813,261,521,639,
717,407,598,886,884,312,055,448,481,331,190,869,277,701,628,971,411,833,353,
428,815,720,012,444,875,715,078,152,694,561,144,288,503,611,482,944,780,519,
265,503,515,220,297,470,694,377,532,107,563,117,278,187,416,464,919,341,534,
782,540,215,356,557,907,452,657,830,702,593,045,447,478,475,278,042,522,072,
311,322,987,728,334,344,109,117,621,128,988,215,020,910,757,575,399,000,622,
427,834,863,272,268,807,776,022,069,891,636,136,272,862,390,531,191,135,323,
108,255,251,187,829,898,450,323,137,030,654,197,767,155,221,663,020,061,652,
130,095,848,137,600,376,362,737,081,878,102,591,288,612,034,742,837,529,093,
909,148,420,261,336,273,437,478,710,123,995,594,284,034,126,917,787,912,438,
358,790,447,280,258,783,261,912,420,036,693,075,314,459,357,865,127,505,873,
509,510,578,051,474,730,278,222,849,175,214,092,584,329,653,391,040,878,566,
925,710,286,459,685,727,317,218,088,967,483,308,401,837,309,570,838,205,984,
688,348,840,428,492,979,095,130,517,104,475,547,338,538,748,127,574,779,239,
931,273,193,304,791,817,230,408,664,143,159,071,831,516,794,245,626,108,800,
696,565,120,470,867,966,324,117,870,517,178,730,772,458,965,379,991,285,167,
845,070,334,715,964,288,888,010,290,645,991,081,926,302,275,038,764,624,269,
113,434,479,984,840,682,340,928,308,551,454,434,083,944,618,271,294,607,034,
348,790,862,336,837,850,864,146,509,657,788,748,254,959,063,049,282,689,067,
933,007,312,764,286,486,296,094,637,609,930,659,008,406,290,578,420,147,919,
058,451,389,588,235,159,548,450,184,227,449,848,995,113,707,404,682,443,279,
588,867,734,249,456,785,625,609,556,539,144,679,381,691,288,383,524,908,656,
067,043,313,591,971,723,352,781,871,010,979,355,491,968,741,501,171,687,448,
006,068,575,296,174,798,987,765,297,242,781,725,081,158,694,785,587,764,555,
899,727,329,668,622,853,613,378,670,871,178,420,413,513,251,852,422,083,653,
469,668,773,689,719,415,806,160,490,835,768,030,730,555,579,850,293,522,221,
606,377,804,550,659,783,885,313,215,638,913,986,097,415,777,998,508,109,983,
778,000,500,414,797,940,512,933,930,609,606,942,450,486,718,844,664,074,377,
755,808,713,750,972,715,865,632,250,825,219,856,508,092,779,057,754,146,986,
690,858,048,298,196,370,861,988,515,252,839,350,345,077,546,453,870,230,171,
860,370,589,595,315,658,985,284,880,984,406,352,782,578,366,547,350,250,895,
860,564,543,791,002,474,850,951,304,064,599,214,191,320,957,426,138,600,128,
509,795,950,395,606,132,903,237,244,469,351,031,989,100,499,550,742,175,043,
570,275,232,941,343,183,469,526,296,668,179,577,790,198,086,495,054,361,677,
985,646,002,844,179,808,524,463,517,905,387,643,407,940,138,342,226,949,787,
101,989,872,868,394,031,058,582,325,193,693,611,211,628,845,742,319,376,416,
187,491,502,283,036,966,699,102,667,274,507,164,296,201,311,284,273,389,316,
394,709,060,595,901,935,487,474,848,660,964,625,523,321,397,607,258,479,822,
860,204,580,176,038,174,859,066,330,240,163,418,467,588,129,728,919,441,604,
316,329,815,763,431,506,238,568,095,422,703,976,777,173,464,596,361,053,471,
572,410,263,478,351,326,833,750,576,631,026,864,640,496,800,147,777,054,770,
880,254,882,729,326,224,708,246,268,965,732,861,374,756,597,129,289,669,795,
173,834,820,382,957,049,064,552,003,642,234,583,687,274,886,530,439,245,600,
560,351,056,787,831,473,574,768,859,416,769,548,203,982,764,795,412,111,871,
708,045,693,218,872,478,285,977,119,933,468,757,356,511,936,379,921,226,853,
871,260,531,610,817,383,069,882,846,076,179,597,749,257,685,483,060,317,788,
940,334,596,279,375,458,119,971,431,265,258,100,895,463,412,144,981,608,632,
637,099,173,665,456,827,784,138,692,493,199,558,642,143,805,293,732,310,241,
420,924,176,633,776,140,389,203,542,262,021,123,964,571,907,844,693,637,809,
875,811,130,672,701,537,670,565,146,185,589,255,676,384,884,962,437,812,093,
417,795,794,945,583,929,702,123,681,576,050,064,212,331,355,039,380,461,511,
966,984,102,522,177,293,383,040,061,190,011,385,097,633,818,706,827,762,710,
369,412,254,231,723,460,285,181,710,798,803,390,909,960,611,713,953,137,887,
046,438,402,522,526,029,550,843,691,064,486,801,422,289,276,384,860,787,142,
479,853,279,258,438,558,481,336,711,650,033,403,417,471,595,142,549,766,647,
243,756,325,617,298,678,059,825,029,441,631,111,425,578,575,568,873,820,743,
423,526,197,215,471,593,880,230,041,195,351,814,619,815,300,156,872,821,217,
932,140,186,938,555,184,758,595,493,667,837,730,251,509,461,505,785,633,834,
871,717,456,115,494,045,266,188,864,059,154,721,088,212,728,681,125,521,014,
363,822,119,040,649,659,217,165,691,297,726,854,129,658,842,553,453,944,399,
997,423,738,405,747,943,538,226,105,042,310,992,550,688,038,224,637,027,594,
655,543,473,507,273,763,498,153,797,811,825,960,519,772,955,728,025,213,622,
317,933,346,892,871,845,567,948,671,247,719,744,018,029,068,534,956,216,856,
145,403,864,564,845,226,589,575,492,707,926,674,000,018,600,898,515,965,424,
336,987,303,992,123,760,870,172,265,481,631,197,697,799,080,993,728,770,863,
091,097,779,364,569,805,156,773,269,285,985,293,250,841,474,350,185,185,485,
818,058,286,828,363,224,253,592,570,586,034,426,053,488,888,388,911,851,429,
068,261,193,857,122,342,114,083,342,917,947,478,175,010,052,426,913,482,266,
956,539,703,107,184,548,706,857,917,867,153,910,576,647,192,641,656,401,596,
007,551,283,397,922,616,075,413,093,109,286,853,349,689,209,962,018,612,244,
966,192,675,088,309,819,964,435,108,350,133,844,050,753,409,051,313,193,650,
736,013,911,898,757,700,104,302,750,510,000,200,276,754,570,405,032,211,355,
698,387,722,532,684,453,296,145,601,419,206,526,798,435,187,193,982,757,977,
594,394,287,157,679,567,904,334,414,240,915,826,020,221,572,806,448,926,518,
549,172,745,337,509,694,851,075,775,044,940,864,201,997,545,499,939,766,585,
716,696,715,532,513,548,598,357,438,139,069,878,166,215,101,669,011,100,051,
332,907,794,685,696,507,542,761,784,960,511,856,663,599,839,575,783,794,069,
207,315,322,135,487,454,183,458,222,787,535,919,823,611,489,890,981,042,458,
500,392,024,545,143,584,195,374,267,584,806,045,008,825,863,685,634,434,313,
863,665,837,441,941,221,543,719,252,651,559,425,784,368,064,736,367,943,446,
247,754,381,136,109,000,260,883,282,356,625,023,430,945,990,038,233,081,390,
772,710,792,937,559,905,977,144,122,913,196,288,360,396,804,045,597,750,178,
592,898,276,995,643,463,407,854,530,080,001,054,218,686,108,172,660,241,145,
428,757,578,443,504,101,937,347,564,779,870,311,068,425,378,494,741,729,038,
677,000,843,327,198,134,147,396,024,225,193,059,342,348,948,037,997,704,820,
471,276,373,172,365,287,864,761,884,752,062,235,811,905,024,169,073,747,606,
792,929,620,783,180,216,038,089,949,810,263,776,503,138,496,899,501,771,396,
319,204,511,554,492,849,343,373,386,851,522,930,868,139,294,497,491,195,240,
928,092,640,987,981,748,274,398,321,025,042,448,257,300,262,347,523,260,756,
123,701,203,550,244,296,908,043,380,085,162,056,156,571,700,728,169,159,491,
774,522,174,704,756,352,819,106,127,550,842,607,764,346,464,551,579,215,711,
267,449,728,410,005,541,676,151,633,716,217,273,468,023,835,430,112,413,931,
156,036,944,920,180,747,522,417,497,841,266,317,435,668,309,396,651,978,869,
226,713,560,114,550,579,862,759,753,784,370,800,700,300,598,431,117,121,984,
744,743,236,289,784,364,929,517,006,490,293,221,134,578,660,954,333,912,030,
274,023,903,692,465,039,296,256,776,059,124,955,815,050,034,356,718,345,086,
082,364,631,616,793,916,521,577,011,382,346,112,973,723,086,353,930,423,993,
760,241,690,819,401,039,551,388,290,890,324,115,732,473,682,418,752,055,973,
616,987,093,565,703,912,173,511,363,832,471,945,477,160,211,751,321,931,631,
028,688,384,423,642,339,306,274,229,435,717,371,012,013,255,453,152,831,236,
527,632,635,090,143,166,709,166,559,274,319,298,933,647,034,043,923,712,326,
523,745,668,377,859,500,556,388,318,601,224,330,095,227,052,935,468,331,062,
252,094,459,735,659,705,450,478,428,703,160,612,964,485,795,264,726,475,020,
435,076,250,668,892,260,066,566,833,037,180,757,755,418,572,245,304,399,751,
722,352,382,399,759,594,588,579,833,102,814,327,068,927,755,679,213,512,109,
630,331,346,051,385,822,065,486,617,207,071,492,409,656,333,618,880,031,483,
987,496,882,979,867,177,179,340,433,708,072,535,006,142,156,533,094,198,066,
741,400,398,993,451,926,282,081,374,569,824,057,316,875,407,404,821,700,141,
960,118,233,184,146,396,568,886,967,515,578,195,931,391,888,681,447,369,616,
364,091,549,227,834,623,338,769,528,799,710,039,370,310,940,640,057,449,608,
814,917,264,625,311,246,397,245,289,173,608,754,198,135,309,836,608,789,683,
106,146,618,305,379,879,274,944,091,524,493,357,945,329,144,389,172,434,602,
373,311,280,659,830,231,673,420,747,003,901,188,639,065,745,387,086,547,834,
505,282,095,557,130,385,004,218,185,294,214,089,300,445,883,430,765,147,434,
973,309,596,538,912,384,039,111,756,653,617,972,178,802,023,780,549,854,357,
350,380,164,002,626,407,453,764,143,704,211,740,926,389,367,803,205,121,588,
836,027,046,427,002,282,407,267,402,952,850,440,819,736,256,620,106,385,820,
812,115,759,799,831,637,083,383,036,056,731,461,970,779,913,145,544,342,843,
467,088,746,167,880,835,033,864,076,766,205,552,542,733,612,431,958,905,551,
908,208,268,472,896,512,340,896,200,212,767,380,983,415,481,358,375,437,707,
259,791,438,577,448,994,305,367,138,148,724,767,174,195,467,223,916,175,581,
371,587,831,146,648,923,699,009,839,872,501,811,679,776,560,114,868,285,332,
898,190,773,645,459,345,494,721,973,058,189,313,782,744,539,106,907,052,178,
208,445,289,508,834,032,590,026,326,059,146,661,597,289,663,909,518,489,563,
385,799,855,818,471,541,701,671,373,419,674,548,427,007,866,742,478,014,740,
654,459,620,104,287,975,679,859,889,492,736,755,494,624,562,491,309,341,094,
941,352,281,617,643,205,850,732,747,975,793,034,803,295,851,019,794,508,941,
076,862,696,728,624,860,180,043,411,717,995,618,488,020,935,445,794,168,643,
128,262,253,599,229,439,674,769,710,540,623,994,926,282,767,789,961,063,134,
178,929,976,341,471,928,603,341,866,818,671,647,869,844,507,587,427,008,100,
955,896,092,440,841,327,472,335,294,596,745,380,558,656,536,744,042,898,575,
428,971,196,076,616,777,968,107,550,167,438,368,141,115,019,907,045,313,928,
453,563,370,552,847,451,201,821,378,907,359,792,448,779,879,627,772,700,851,
990,750,872,834,672,839,033,827,161,519,071,992,911,704,029,256,112,407,141,
366,055,171,309,691,013,655,190,386,718,923,977,823,408,579,763,925,863,659,
871,792,034,047,900,715,159,227,249,132,526,801,399,269,280,262,678,655,560,
877,581,827,496,739,128,100,057,068,939,818,818,017,742,426,265,072,940,307,
176,877,679,510,847,335,598,643,460,949,211,866,942,650,723,935,866,878,044,
168,416,482,985,578,650,889,299,137,248,763,515,639,442,875,307,240,672,062,
835,923,270,949,724,598,209,576,998,226,717,837,590,096,601,398,117,686,865,
254,979,809,938,909,887,752,003,300,311,241,096,567,380,797,608,184,328,966,
755,636,729,304,971,250,077,724,995,292,329,771,408,186,864,122,844,229,187,
276,138,948,114,080,291,247,938,893,165,293,306,752,808,287,782,967,039,759,
089,641,917,852,777,887,981,878,434,177,015,392,118,329,596,158,294,870,165,
767,993,723,494,529,270,306,323,354,264,921,280,850,655,584,918,736,579,012,
154,870,761,848,796,719,030,682,196,818,606,782,179,813,232,914,738,570,437,
953,378,057,377,246,708,121,772,638,530,530,362,626,286,990,480,603,649,147,
888,955,782,664,025,040,975,351,602,830,450,873,808,231,240,680,297,957,364,
984,248,648,654,732,211,459,108,834,494,836,416,193,478,678,408,816,718,667,
725,328,956,565,871,606,111,668,884,765,270,887,977,911,286,893,825,858,031,
898,853,466,327,441,282,453,264,961,041,277,934,773,604,549,345,791,815,176,
819,241,210,266,636,022,343,831,601,973,356,040,531,065,914,164,865,997,104,
207,903,124,892,481,195,388,096,202,035,192,152,122,493,561,841,710,927,971,
110,738,267,259,330,028,011,492,478,289,899,993,667,945,888,951,552,032,864,
652,082,683,091,482,699,098,343,985,038,282,019,605,575,961,058,591,392,748,
566,034,255,993,947,190,464,384,875,954,285,176,752,309,263,254,052,710,774,
962,884,540,678,760,136,483,652,685,037,402,322,924,889,811,170,192,602,129,
504,539,377,104,136,034,687,597,678,959,258,262,950,136,849,379,437,047,201,
103,109,840,985,813,496,237,902,614,357,930,226,297,342,023,252,910,850,251,
690,959,640,797,139,982,328,571,073,634,399,443,751,399,250,597,347,168,524,
236,533,614,791,341,687,407,506,173,366,968,808,103,144,465,132,719,621,391,
514,797,947,862,974,685,774,913,917,119,487,881,623,523,191,578,924,066,249,
938,603,698,844,990,937,936,484,994,261,865,645,377,031,745,884,873,384,867,
905,704,885,748,643,863,567,020,998,305,703,427,369,383,383,349,786,186,525,
011,549,334,287,983,292,576,715,304,536,087,154,534,018,639,185,620,927,525,
614,374,422,934,533,227,378,009,448,890,316,869,834,540,911,449,747,974,716,
515,334,076,463,434,659,601,277,386,167,263,142,595,170,987,775,300,931,768,
839,098,843,310,291,130,470,068,506,917,145,955,123,097,453,964,945,403,338,
647,258,420,584,542,493,573,481,864,965,186,003,907,645,523,310,976,028,886,
722,421,893,348,977,752,217,478,383,070,333,356,519,060,312,942,160,486,846,
062,330,665,326,979,519,991,966,713,939,612,387,743,499,776,961,823,404,300,
509,465,553,001,292,091,917,740,350,780,035,790,133,174,817,584,473,748,334,
706,593,336,747,095,609,674,291,410,031,149,690,513,968,803,775,488,316,901,
204,559,710,867,222,214,421,502,767,689,765,947,536,059,141,601,695,901,341,
027,501,907,285,847,439,981,697,350,600,143,236,589,060,741,763,443,776,157,
028,879,899,772,311,646,966,011,346,677,853,187,776,992,028,021,896,690,953,
006,668,141,175,609,213,899,503,832,604,860,711,414,886,755,011,095,756,109,
526,539,023,251,848,508,075,938,818,493,005,395,860,650,608,726,768,714,697,
481,609,665,338,237,444,672,180,844,937,285,796,984,979,587,229,178,836,920,
861,761,938,936,444,436,731,609,566,859,660,082,456,574,639,102,502,332,875,
056,231,385,133,320,796,367,561,727,695,670,150,926,023,424,094,918,314,292,
638,879,605,570,498,487,977,202,452,318,155,118,992,805,239,720,295,593,742,
044,240,622,461,426,781,826,847,650,176,272,866,366,214,096,627,633,335,205,
642,068,597,792,921,702,586,768,495,322,027,643,781,458,441,702,123,743,836,
561,104,276,763,651,692,535,622,995,416,614,743,297,174,611,969,710,255,005,
946,910,498,350,776,482,317,160,334,397,212,543,363,215,260,904,323,512,705,
310,521,069,575,217,221,709,278,875,822,090,839,077,760,684,282,233,038,657,
580,457,646,671,985,775,991,956,928,558,648,804,702,555,044,347,053,562,195,
412,287,220,013,725,015,509,875,448,731,892,894,320,309,971,955,379,308,542,
498,112,205,098,337,953,153,949,119,031,853,565,414,891,769,624,548,414,723,
195,961,923,719,331,953,368,772,218,827,414,906,923,808,099,613,053,193,433,
010,046,902,009,314,381,500,441,865,216,943,188,544,032,473,767,019,574,403,
054,324,153,622,179,133,934,918,831,539,845,479,714,182,622,009,875,106,734,
309,100,769,131,626,811,779,300,662,064,479,722,248,528,282,560,781,321,448,
349,332,538,818,144,183,646,318,595,989,351,018,048,562,009,496,623,448,833,
529,439,108,052,902,042,270,577,045,882,391,835,582,983,258,870,499,983,043,
902,167,536,522,694,604,711,297,427,654,909,574,457,466,946,321,414,643,407,
592,957,708,215,101,823,001,261,019,264,625,308,164,263,614,505,329,831,813,
012,669,048,811,038,951,417,346,432,080,043,738,325,627,222,022,631,044,118,
514,405,479,268,916,127,270,128,901,423,702,227,397,848,081,853,895,550,902,
647,238,849,997,185,269,545,615,922,072,674,556,620,468,191,378,685,024,159,
637,403,913,724,937,433,560,431,638,078,796,406,120,654,438,938,015,032,129,
936,843,715,056,237,244,628,469,609,109,342,012,635,774,354,669,155,301,667,
291,197,817,186,534,093,125,052,876,437,453,299,155,947,398,708,502,766,845,
884,226,206,686,205,074,599,564,193,226,369,144,018,675,050,816,899,318,698,
755,923,881,382,873,981,572,853,242,152,522,355,652,338,674,310,464,393,917,
703,048,823,137,838,179,782,027,461,214,713,397,487,034,608,267,310,686,955,
337,837,800,860,104,946,088,125,046,664,864,774,598,986,511,523,648,425,201,
402,595,614,951,640,786,171,281,148,035,281,502,151,723,225,767,070,100,262,
311,315,299,292,101,985,013,333,387,973,311,955,433,532,348,417,068,561,777,
065,395,560,039,091,476,440,521,923,225,870,679,313,573,689,734,191,761,203,
059,593,046,941,376,259,287,401,505,443,296,576,313,006,838,131,972,006,887,
735,832,552,108,413,538,951,411,367,006,760,923,133,357,972,437,039,681,749,
135,764,893,448,871,817,655,544,703,018,058,048,248,531,478,568,828,722,740,
775,152,923,910,544,823,596,566,899,272,779,095,882,521,912,454,985,415,033,
004,028,093,273,169,328,731,740,979,841,651,358,877,180,914,254,987,362,428,
751,342,470,194,026,439,864,167,369,851,024,885,166,563,525,803,766,866,353,
242,062,377,971,655,177,236,382,043,904,495,873,952,374,377,849,524,649,539,
497,968,081,567,200,366,878,009,169,470,764,171,514,094,805,362,789,662,003,
332,504,342,439,669,498,181,825,570,634,827,541,431,438,055,055,611,599,447,
065,699,839,153,938,927,708,867,875,363,994,680,605,283,405,564,315,169,751,
254,316,654,893,875,408,932,641,884,187,372,428,395,408,943,701,766,740,873,
759,355,039,565,228,656,513,436,588,336,415,686,455,946,106,405,482,564,788,
462,818,777,307,206,322,722,682,351,187,255,717,901,502,174,998,530,924,860,
492,731,650,210,956,334,946,584,255,878,739,167,259,001,570,832,992,777,783,
951,864,355,888,869,360,072,342,049,708,560,985,196,235,675,941,541,640,510,
970,693,775,542,694,909,787,178,140,737,065,857,059,790,671,879,843,000,988,
665,663,853,855,794,740,002,643,743,450,198,936,912,813,349,560,132,487,815,
683,576,636,445,814,742,712,509,409,921,222,494,128,051,803,257,564,218,270,
936,313,437,450,271,126,095,205,101,942,650,720,539,262,928,800,645,881,531,
827,545,065,298,948,133,743,108,485,355,961,134,164,543,716,310,819,219,728,
795,226,250,823,910,479,084,650,827,387,441,477,782,161,942,723,878,442,635,
653,715,442,049,247,569,268,228,458,027,074,874,737,061,299,945,976,516,985,
594,100,523,582,039,561,304,676,374,983,574,331,916,214,599,991,329,637,443,
081,843,944,188,873,088,147,494,219,194,076,297,198,064,523,562,603,799,118,
256,406,393,344,373,034,008,372,703,639,659,187,317,150,983,038,834,092,051,
382,870,645,214,938,492,294,461,465,250,096,773,494,655,202,450,608,548,148,
696,453,918,092,415,689,099,931,258,842,902,430,572,086,554,408,914,019,001,
516,158,758,525,781,401,284,224,314,591,004,062,582,736,813,665,091,124,113,
507,959,764,662,268,519,101,150,324,644,997,220,739,061,058,602,344,830,782,
585,026,480,710,853,889,432,584,386,787,328,762,318,938,916,731,780,171,466,
598,000,592,815,367,968,069,726,585,441,972,166,213,887,112,997,373,929,895,
707,060,734,284,236,303,815,592,815,251,089,285,014,675,603,331,447,665,896,
101,086,908,684,777,382,736,923,994,149,418,436,615,933,644,128,234,510,961,
870,427,203,795,429,500,829,911,897,470,676,146,263,576,636,394,021,566,569,
263,625,676,133,602,530,681,757,170,908,336,370,568,172,701,599,941,393,399,
168,227,609,386,370,388,740,995,759,691,983,065,567,805,053,817,650,825,519,
989,249,356,245,348,543,728,017,481,195,898,238,740,364,786,987,869,588,335,
014,589,160,236,653,852,256,998,572,042,856,813,597,603,025,199,605,169,726,
427,694,033,730,041,805,784,059,337,709,490,398,741,034,092,743,908,368,817,
881,680,162,152,085,654,410,136,686,065,922,455,243,104,934,481,261,932,086,
689,967,918,263,337,723,467,124,980,732,342,872,884,213,948,860,834,199,753,
821,914,172,468,514,990,823,509,459,102,949,491,460,617,429,157,875,052,475,
510,227,308,437,537,218,366,981,076,950,233,234,614,245,403,728,490,531,292,
085,227,073,131,697,214,207,286,751,675,193,000,586,647,650,383,199,484,856,
470,416,765,368,408,169,779,343,546,302,878,663,384,992,790,576,702,985,310,
149,600,245,290,563,606,666,220,629,159,008,502,995,456,946,319,514,180,071,
949,009,023,726,560,753,260,407,726,599,041,367,999,394,471,400,280,321,766,
243,890,413,020,149,345,846,963,167,190,972,302,397,246,553,417,740,164,442,
514,586,865,059,806,838,056,557,598,185,474,277,371,238,855,394,151,798,187,
183,534,171,458,109,974,779,748,159,064,199,053,289,712,051,838,559,955,829,
085,232,088,891,029,751,831,044,533,527,477,613,952,139,482,052,747,000,394,
125,237,880,530,353,889,585,347,455,445,115,150,209,108,808,628,482,176,329,
975,356,552,659,450,180,928,993,804,213,040,586,624,658,368,739,010,283,095,
732,386,184,025,885,882,755,141,527,595,855,434,126,753,070,246,029,977,243,
071,542,346,221,925,078,050,749,423,829,714,995,636,914,262,099,251,028,524,
779,750,517,199,862,968,289,063,945,608,688,543,338,378,070,100,260,899,296,
094,701,207,327,693,182,114,305,116,799,068,931,995,378,670,961,926,842,330,
002,239,115,746,494,543,017,210,850,225,478,036,244,337,583,036,588,514,645,
504,291,792,313,678,122,774,438,229,544,598,370,154,187,256,175,990,855,448,
054,423,720,548,581,219,722,119,068,338,707,455,674,153,457,453,311,146,346,
104,933,311,811,543,778,365,416,082,373,995,601,816,931,188,877,757,024,095,
193,291,538,092,076,497,291,598,946,486,423,097,589,982,889,723,984,636,024,
085,978,847,992,554,973,761,324,802,917,536,325,475,224,813,400,390,068,674,
403,744,022,297,744,148,081,046,091,654,804,363,255,071,679,860,659,791,417,
593,345,488,606,959,671,983,236,129,831,052,208,019,199,948,506,536,989,576,
007,922,488,144,457,738,705,685,000,245,800,910,208,572,688,859,193,198,671,
529,089,587,833,947,800,854,754,202,853,659,788,842,319,759,670,772,266,992,
430,592,658,255,412,299,903,866,176,034,465,162,694,650,817,895,803,910,161,
224,214,412,515,131,430,251,506,635,747,306,495,845,855,828,443,074,497,939,
606,423,598,120,153,163,425,033,127,479,412,993,193,563,197,010,684,992,498,
045,048,036,300,865,968,496,145,627,646,926,129,280,660,404,115,964,231,681,
627,540,905,153,917,882,175,841,610,975,603,163,537,769,908,271,781,272,990,
328,153,416,562,989,511,650,802,792,727,307,545,851,807,989,685,530,928,819,
960,515,828,109,405,119,679,600,167,689,052,974,523,544,865,110,235,291,572,
516,346,329,189,982,628,458,507,069,888,136,022,790,175,628,865,291,886,170,
093,048,634,731,869,424,445,191,825,702,182,076,824,681,000,279,029,850,394,
591,498,730,831,683,647,991,264,265,245,532,025,247,768,591,984,216,670,640,
796,288,075,969,260,892,224,467,783,868,831,375,442,676,016,098,674,440,849,
613,550,451,578,988,052,541,016,495,683,299,861,346,432,801,519,865,028,068,
401,500,813,359,496,410,913,248,589,546,771,966,050,647,960,155,328,809,460,
380,775,436,591,591,190,948,823,370,455,356,923,526,176,135,040,633,326,389,
936,221,168,504,974,375,217,486,947,073,591,242,137,030,531,572,080,785,271,
260,484,844,677,589,368,555,140,515,724,713,424,289,058,714,984,489,543,679,
790,334,601,038,393,202,707,098,649,046,994,594,064,375,991,090,717,625,530,
298,294,115,443,661,175,126,378,619,867,516,862,806,413,300,916,756,398,660,
726,863,436,437,159,600,891,096,158,077,590,065,037,379,456,253,672,921,574,
447,674,677,113,795,662,045,641,074,689,328,039,166,918,520,057,691,310,865,
110,520,093,677,585,751,219,436,046,127,616,597,209,127,768,553,324,255,128,
264,638,543,712,525,846,646,688,672,144,457,605,479,544,807,005,430,130,979,
229,091,858,089,916,289,081,819,306,765,961,925,674,363,574,585,186,510,861,
558,355,377,854,005,493,060,868,829,150,058,757,397,683,811,203,408,284,169,
091,469,496,771,846,910,974,327,120,076,414,037,093,011,050,696,068,469,716,
244,030,178,999,555,214,959,972,197,687,337,658,096,435,733,945,295,644,706,
956,122,950,863,967,536,708,783,379,335,775,952,943,668,802,571,117,696,264,
480,520,691,836,414,983,374,124,889,224,688,908,886,425,519,749,581,210,414,
347,319,514,676,177,611,212,965,364,305,736,355,912,410,160,100,253,279,239,
429,697,214,736,261,600,945,549,038,935,848,867,204,218,116,934,774,364,829,
157,021,556,587,679,546,002,092,349,464,907,231,531,421,005,437,161,186,424,
602,875,644,775,756,551,510,268,069,264,854,773,388,584,151,207,346,634,072,
053,365,767,874,400,557,198,671,893,683,437,091,146,342,033,994,809,977,966,
066,246,604,327,412,294,434,162,613,345,768,103,130,991,107,844,060,540,247,
142,413,151,679,725,877,100,529,268,545,507,511,217,474,473,781,020,266,593,
571,434,138,242,692,323,835,963,684,367,646,031,940,423,734,359,716,755,972,
852,852,395,899,330,204,324,658,087,098,311,588,763,752,917,892,337,378,697,
583,733,955,572,551,351,954,444,465,239,832,022,195,131,988,370,805,853,341,
425,525,481,074,536,484,732,239,892,833,157,452,997,012,442,752,192,712,520,
405,475,495,276,110,521,565,211,028,217,275,385,784,466,799,404,006,743,578,
357,390,991,109,343,670,382,571,422,328,317,723,439,627,540,312,679,157,116,
638,665,930,761,156,205,536,691,315,633,414,151,648,695,055,162,375,481,313,
167,925,195,491,548,401,744,759,895,424,096,136,943,257,741,766,391,419,263,
007,011,262,685,938,261,082,171,266,532,461,455,346,439,426,087,269,531,236,
571,310,446,432,599,934,921,598,329,942,543,904,576,747,950,712,238,573,645,
179,483,351,206,335,060,003,769,318,506,817,786,438,232,911,097,980,036,719,
268,087,675,432,433,109,128,964,831,515,748,738,713,237,523,983,420,378,122,
727,498,596,890,525,233,511,688,159,240,592,768,766,386,544,980,075,820,418,
468,546,120,201,387,965,928,416,235,733,582,597,049,304,268,044,886,933,070,
696,029,619,180,523,700,452,149,811,121,957,691,864,829,369,727,077,888,043,
150,277,586,441,412,785,004,112,895,525,880,461,468,077,946,539,187,810,442,
894,487,404,113,990,162,408,631,185,166,030,972,053,303,024,926,868,525,614,
854,118,811,947,611,532,867,687,537,211,869,081,721,444,829,506,343,643,086,
878,070,320,721,572,633,080,499,972,577,797,413,256,402,732,888,197,399,233,
226,968,672,138,595,846,135,236,870,192,677,079,431,457,500,223,200,529,098,
441,018,534,358,743,483,129,965,811,641,650,325,344,451,491,038,087,685,103,
193,278,324,167,792,103,598,125,787,843,223,747,551,982,571,927,553,826,847,
064,601,690,569,041,563,671,965,736,860,883,900,243,581,190,341,438,758,012,
448,532,050,905,134,075,353,219,904,093,195,218,536,390,582,266,123,474,967,
359,922,381,286,531,861,235,132,086,856,849,337,292,179,434,500,121,328,793,
736,795,222,456,819,905,230,562,425,169,176,635,619,830,759,379,326,725,200,
994,772,584,097,580,358,179,001,965,784,449,522,638,888,413,387,295,993,521,
079,036,772,634,064,231,216,612,450,754,870,675,562,325,143,206,880,239,309,
211,871,791,245,333,607,487,553,627,316,813,882,262,620,353,453,040,379,356,
310,905,876,710,891,610,744,586,221,618,728,650,056,712,493,005,189,972,103,
771,584,756,918,257,197,346,905,792,434,510,481,768,458,045,578,726,936,401,
426,759,983,690,480,348,910,162,818,689,162,575,366,736,847,529,020,417,491,
408,555,251,903,165,569,301,252,099,125,937,283,165,322,647,148,993,347,559,
443,452,118,921,122,605,128,885,255,323,820,458,756,236,125,542,538,127,949,
569,290,652,322,470,150,316,401,613,279,578,153,374,942,812,430,349,083,907,
956,898,712,992,346,636,397,593,852,982,022,540,975,159,589,339,660,708,685,
898,163,303,474,012,020,606,033,116,526,369,594,410,212,849,494,738,181,311,
768,330,170,629,834,656,496,462,786,325,854,062,631,904,146,359,578,442,405,
358,794,614,503,433,793,040,177,813,026,442,861,365,825,223,873,909,103,848,
523,728,982,795,756,871,304,733,842,453,652,651,736,408,741,877,367,149,577,
120,841,689,371,946,016,811,331,187,295,868,735,676,376,701,553,502,187,814,
995,748,912,375,406,425,750,809,430,004,418,254,021,038,990,445,417,913,671,
230,223,860,734,380,993,529,805,146,411,063,740,218,508,416,192,772,276,194,
345,212,305,457,105,013,330,876,704,747,129,538,534,384,393,785,269,072,871,
047,366,431,679,831,285,025,228,336,987,073,150,837,103,779,597,320,337,966,
569,344,133,943,197,164,389,074,605,015,402,212,949,373,067,712,969,391,685,
682,699,417,144,095,491,304,587,841,068,042,881,714,712,067,712,374,862,841,
919,288,543,573,108,787,630,393,779,977,909,219,296,971,188,329,008,783,163,
405,216,294,381,965,061,460,015,592,969,872,650,018,348,974,199,793,034,123,
635,589,555,955,014,826,093,639,127,291,985,108,694,848,292,816,853,932,507,
754,406,618,291,969,390,541,180,982,896,416,400,446,939,563,950,610,825,807,
176,835,014,850,756,337,828,293,710,288,888,245,189,465,145,682,895,345,435,
897,735,121,686,258,048,364,275,730,881,805,326,184,225,248,273,236,959,048,
985,645,373,158,454,700,053,527,718,432,272,138,185,906,994,244,192,689,121,
939,517,323,157,937,798,480,270,294,828,381,047,910,837,216,415,957,530,580,
474,384,263,873,803,695,617,197,791,161,752,568,414,278,441,099,539,899,739,
877,141,670,044,796,950,742,566,575,579,721,649,890,702,259,942,860,807,219,
298,780,160,285,842,062,788,804,091,868,594,613,971,573,668,668,520,071,674,
824,782,114,047,953,328,958,362,163,197,436,211,977,639,466,889,212,485,674,
958,999,165,619,539,994,035,114,439,794,626,077,930,627,455,516,136,524,572,
026,518,395,518,210,043,613,695,479,871,759,654,424,492,117,510,208,297,178,
385,836,653,037,345,890,906,593,726,413,303,653,445,759,108,580,609,867,224,
896,061,525,787,751,828,623,392,573,114,632,067,836,963,499,548,904,958,684,
602,854,246,393,498,342,990,219,782,815,431,558,517,665,287,210,521,548,164,
282,000,364,770,723,650,358,751,263,027,714,230,180,790,719,476,626,555,390,
263,628,879,763,110,394,113,741,398,621,947,564,136,418,938,486,565,983,778,
269,162,380,863,399,302,082,274,653,982,495,503,264,216,713,526,844,595,682,
151,650,365,172,655,591,335,474,261,907,826,049,015,636,413,109,069,400,014,
375,255,666,025,399,312,959,773,817,222,481,728,498,164,834,215,922,573,520,
302,880,244,089,106,482,888,731,830,333,293,634,612,695,626,207,191,258,911,
306,460,428,695,249,043,832,199,037,983,572,900,996,249,256,686,860,906,908,
622,193,996,803,367,160,540,225,375,827,232,087,248,051,260,606,739,949,029,
828,882,667,651,645,898,771,578,426,364,854,083,724,636,768,198,646,730,611,
299,406,883,462,950,901,901,262,385,033,094,263,034,143,223,857,282,808,312,
847,838,960,691,410,458,813,936,950,392,175,772,591,390,767,893,459,296,355,
033,707,705,453,623,322,977,616,028,624,683,237,398,316,804,142,309,051,221,
203,194,829,868,307,265,904,211,503,634,371,444,508,206,973,715,982,437,999,
360,257,948,361,055,397,619,381,353,104,793,629,001,407,349,102,781,412,122,
983,767,526,641,060,208,654,252,661,810,657,870,591,382,105,537,990,963,769,
607,103,998,186,330,467,839,490,450,989,813,079,247,650,331,612,880,065,324,
968,817,990,903,518,079,207,128,119,554,777,466,169,460,838,474,988,904,607,
812,703,634,382,878,306,871,894,581,834,607,798,470,131,636,211,839,617,081,
641,216,578,223,432,199,779,122,076,370,719,775,111,338,251,528,144,227,041,
493,009,152,058,589,472,062,381,603,869,779,318,837,527,169,251,755,878,818,
362,474,019,791,281,071,376,374,992,915,975,955,151,693,362,609,060,207,213,
803,848,037,960,829,734,825,236,787,458,886,393,081,453,184,644,969,011,953,
480,402,998,479,150,306,557,130,839,759,639,380,213,684,670,408,250,939,491,
102,575,365,312,908,368,101,627,735,542,295,360,301,060,441,093,524,995,372,
288,945,256,969,411,562,866,091,601,892,513,172,257,672,811,316,089,541,427,
807,730,122,025,045,202,581,494,869,922,363,432,496,208,683,965,753,759,405,
345,070,189,611,347,072,017,009,356,366,354,266,503,625,034,702,308,064,146,
980,578,344,889,127,381,182,373,715,394,422,226,776,555,530,891,226,372,577,
600,806,269,267,886,932,239,627,111,960,077,758,777,971,018,775,027,071,737,
832,668,911,859,279,345,296,692,939,049,360,766,295,304,796,771,481,606,945,
143,615,183,848,431,860,041,118,153,253,329,409,470,485,805,733,201,696,465,
276,687,615,580,510,922,681,873,946,863,540,403,164,245,231,020,773,833,525,
299,687,370,528,735,128,465,665,954,650,364,857,983,594,500,765,797,674,700,
152,714,086,500,212,438,055,245,180,791,418,661,753,824,519,446,730,892,327,
341,730,937,021,774,727,477,312,337,047,861,248,621,901,003,712,245,324,130,
486,241,305,366,572,471,633,629,270,568,184,411,647,709,927,529,900,714,129,
202,229,255,600,167,720,650,327,128,514,101,979,902,977,382,992,916,634,287,
427,323,426,132,193,451,594,852,276,528,279,962,610,834,936,461,506,160,606,
601,225,393,040,247,885,900,869,574,336,498,983,980,473,046,687,993,050,030,
133,305,558,688,608,339,724,228,470,014,633,816,176,643,974,709,180,391,220,
869,314,115,497,973,425,627,998,917,070,810,626,118,202,015,774,626,784,186,
914,921,040,622,902,715,357,412,968,029,893,417,167,279,351,371,753,781,007,
032,337,151,657,346,020,629,594,409,724,743,132,086,396,817,921,715,521,966,
313,924,330,640,657,745,134,767,201,708,904,634,369,329,597,294,400,985,305,
896,226,966,602,932,298,649,773,316,158,758,154,308,188,640,897,814,291,568,
064,652,891,397,959,697,972,649,131,758,093,539,687,078,923,478,060,767,112,
747,048,816,378,094,050,825,209,600,471,182,099,963,894,600,203,632,024,062,
038,762,484,744,681,853,928,938,806,843,587,617,612,593,258,082,130,312,600,
134,092,695,507,702,690,683,472,291,927,414,566,934,934,152,776,925,941,977,
599,419,201,744,766,045,993,359,484,555,760,380,154,512,715,753,439,478,017,
179,747,085,219,687,629,831,634,177,199,937,887,266,445,994,439,778,221,398,
597,952,989,456,759,561,790,286,489,271,230,701,237,252,714,331,422,934,681,
544,242,091,542,288,728,721,943,986,639,376,356,003,322,920,555,826,499,920,
287,703,543,306,104,179,689,840,586,971,104,291,034,763,689,779,537,393,994,
837,521,559,922,251,508,973,861,387,540,229,751,113,126,582,723,409,773,959,
441,027,236,623,775,658,725,090,384,219,869,213,177,737,961,810,284,654,437,
715,798,537,309,277,670,736,103,533,709,560,702,546,767,437,029,504,569,433,
389,590,824,278,314,986,039,103,250,831,524,310,301,363,627,996,746,533,134,
342,630,226,527,278,373,593,758,815,560,284,581,472,490,892,258,525,329,151,
654,198,642,751,649,298,149,266,070,946,508,693,596,172,051,732,580,433,444,
855,577,876,333,959,340,511,875,362,339,224,879,197,040,891,056,949,549,796,
146,216,830,435,009,671,379,575,838,027,627,577,580,265,984,525,126,963,329,
234,293,462,838,452,534,634,722,243,101,815,719,117,474,540,426,359,735,253,
622,703,141,457,673,889,682,688,737,585,968,111,326,507,863,991,666,506,705,
322,038,667,221,893,009,002,802,262,277,981,136,467,686,521,278,336,604,536,
077,004,527,914,643,448,166,086,215,853,785,022,569,127,366,591,453,243,972,
043,262,332,646,961,719,477,097,600,326,986,481,932,658,042,531,677,283,635,
949,317,191,568,798,503,790,814,708,763,456,413,168,222,079,965,318,838,023,
089,421,728,371,715,749,952,308,282,458,770,804,198,913,360,920,492,513,417,
373,925,151,632,589,998,562,773,646,366,088,126,809,003,173,204,470,223,570,
023,431,623,542,052,848,759,508,757,673,218,624,778,535,817,502,988,366,524,
807,769,826,839,132,728,407,487,603,838,894,214,915,066,832,435,014,015,585,
900,752,717,212,449,826,236,525,728,594,779,698,326,349,611,451,909,802,293,
260,042,327,388,826,310,499,044,248,632,227,999,290,897,287,728,084,066,146,
212,499,697,972,114,138,852,030,264,554,344,982,583,774,270,519,800,189,220,
201,937,341,591,658,248,457,204,295,358,090,271,656,378,263,909,085,291,680,
072,390,852,964,609,782,484,984,980,634,528,095,867,720,650,566,373,384,590,
329,064,925,123,352,263,861,400,177,334,687,492,467,698,830,388,441,759,662,
597,775,597,518,302,696,504,161,988,762,187,143,056,759,841,916,901,319,905,
726,352,082,064,367,194,503,749,618,888,003,132,512,719,871,046,327,062,535,
947,208,355,901,201,779,310,724,361,929,996,035,440,034,182,028,039,277,741,
922,518,521,551,847,024,567,064,719,685,936,641,118,075,879,158,612,922,952,
290,132,511,733,906,838,321,271,070,595,166,401,224,639,973,319,491,259,857,
750,398,586,324,064,735,519,856,928,234,071,246,297,520,592,924,060,067,830,
285,095,188,409,286,228,960,199,862,648,852,594,376,087,756,146,213,060,096,
650,526,705,772,752,475,165,579,304,145,890,653,085,769,139,361,483,519,260,
850,760,386,486,255,184,681,249,846,087,485,231,379,847,955,760,789,729,701,
391,293,208,560,971,848,117,547,984,808,588,991,699,694,863,275,566,343,597,
364,058,371,092,375,715,420,111,184,750,367,657,209,533,225,962,030,350,673,
749,023,282,210,049,684,209,915,932,853,199,160,791,057,340,789,947,655,537,
498,627,570,429,045,160,694,867,912,453,329,615,300,300,544,648,554,390,309,
234,794,697,915,550,475,234,720,760,729,959,368,870,905,956,670,192,056,407,
553,236,917,570,082,298,707,718,482,911,812,862,396,257,106,576,103,017,565,
913,810,134,878,443,130,672,776,604,043,974,497,469,906,880,831,746,220,848,
027,681,850,694,379,563,989,698,291,326,362,123,409,192,309,228,645,955,031,
198,114,270,710,422,537,296,842,279,724,829,010,224,979,268,554,854,457,600,
136,637,515,084,066,196,912,851,800,197,722,279,849,343,141,809,515,415,707,
799,593,881,737,600,182,011,414,129,347,203,368,530,646,126,624,859,290,891,
177,241,568,793,477,411,359,324,930,656,786,242,191,381,686,075,260,896,407,
257,541,693,884,828,473,463,572,027,636,037,438,935,660,842,692,275,396,028,
944,219,437,615,513,586,415,834,997,875,017,797,037,680,285,617,607,011,481,
759,431,126,298,055,677,378,516,358,380,474,205,441,123,580,530,192,975,507,
364,331,747,776,814,806,012,731,545,495,753,436,158,689,658,697,980,714,166,
689,197,994,178,814,208,730,957,557,861,236,392,050,800,591,786,024,919,912,
530,602,125,943,620,375,909,264,794,892,839,673,347,673,866,420,592,029,449,
721,699,198,972,804,487,380,050,940,030,404,032,867,982,138,048,443,986,142,
587,890,202,905,225,037,667,187,202,695,274,323,906,912,942,230,812,845,285,
754,313,321,332,632,848,513,777,144,242,305,228,379,662,894,841,583,416,412,
300,712,196,206,714,577,864,893,905,691,816,229,153,179,508,672,338,446,254,
050,339,597,539,059,513,152,176,930,331,399,434,384,219,143,937,274,778,727,
412,191,931,399,371,080,694,023,141,785,311,839,116,846,010,132,839,097,293,
611,236,871,736,294,845,184,445,202,412,641,462,739,284,136,027,695,720,671,
916,276,401,959,565,465,397,029,770,390,610,810,247,373,991,664,546,221,719,
011,441,904,999,249,683,700,662,382,718,964,381,617,700,684,110,705,126,198,
220,799,823,300,526,489,668,822,318,273,367,304,014,053,857,379,222,880,350,
985,143,305,553,463,507,657,899,981,174,072,780,358,279,541,475,686,671,323,
182,156,964,205,465,925,594,565,851,771,643,755,609,874,085,893,116,595,634,
916,050,757,089,315,137,649,644,276,000,959,892,337,683,332,854,498,994,288,
115,200,335,440,761,753,943,360,289,814,444,316,932,506,276,162,455,764,928,
972,277,303,438,225,711,858,427,267,372,886,117,044,532,703,692,370,218,770,
933,813,017,796,538,088,394,458,306,306,468,239,242,556,747,342,149,635,767,
130,555,585,519,999,410,371,126,585,325,371,837,362,267,098,196,100,818,895,
649,469,083,821,614,969,442,177,488,225,511,069,271,628,893,042,234,348,406,
870,888,077,836,891,789,797,215,476,859,081,221,061,673,568,053,402,870,182,
775,772,065,315,639,068,849,881,748,015,812,501,005,302,357,918,624,236,737,
055,634,186,109,805,239,502,575,557,702,087,146,184,125,772,068,681,649,263,
942,304,821,084,531,696,935,161,402,014,687,227,203,987,257,383,909,509,160,
230,290,140,961,497,285,577,135,311,846,949,243,135,346,210,197,464,781,368,
323,785,547,661,184,169,770,753,177,932,325,559,069,395,310,520,452,234,443,
637,505,883,442,376,572,198,793,260,655,236,285,641,157,960,848,505,553,950,
537,036,356,734,789,499,664,657,363,682,116,475,005,122,753,779,640,054,356,
813,200,802,821,810,947,517,380,293,082,284,896,079,995,157,217,097,329,489,
389,326,315,381,678,621,429,840,491,326,404,218,167,281,065,378,145,184,128,
314,216,030,461,320,324,620,807,795,162,088,885,269,749,826,365,888,853,975,
459,740,760,688,700,908,423,496,819,891,340,099,582,701,488,541,299,375,652,
861,832,788,394,863,115,846,757,949,968,400,928,407,691,186,379,160,666,441,
796,819,162,668,420,157,444,196,354,034,964,262,511,776,921,799,867,917,305,
288,709,370,268,094,580,522,293,622,793,658,262,077,901,164,650,288,762,326,
685,367,694,782,000,871,353,598,696,516,926,570,367,111,666,724,110,812,493,
224,868,988,410,318,580,810,771,947,564,781,034,739,387,641,177,085,863,972,
387,042,995,004,131,114,920,810,032,666,502,870,347,665,922,458,587,654,116,
681,499,310,972,982,592,244,998,735,884,986,511,855,170,802,825,204,421,121,
331,286,790,853,072,812,772,443,399,368,662,943,208,980,143,824,033,277,915,
272,657,742,014,281,635,328,492,234,901,312,082,222,647,315,169,116,104,841,
460,203,213,506,012,385,101,280,694,924,220,557,595,897,612,023,620,523,961,
861,481,307,805,678,139,420,251,207,586,860,171,112,446,143,839,565,130,327,
716,482,273,272,088,721,374,398,264,686,603,076,776,105,955,489,683,980,886,
768,190,989,037,727,852,968,840,902,711,622,609,143,856,224,825,469,236,572,
473,776,997,252,482,216,275,557,095,558,365,754,581,000,087,692,513,036,883,
198,465,219,321,149,457,003,026,393,107,420,229,220,316,896,212,310,967,384,
720,729,392,362,975,765,714,643,608,775,505,770,524,992,549,451,942,560,044,
752,345,086,061,706,248,231,143,237,141,535,568,531,776,365,243,855,170,950,
071,524,658,459,857,719,909,348,529,893,060,222,197,065,330,700,388,999,717,
257,901,036,523,135,414,606,809,875,298,703,888,633,489,723,568,837,278,810,
834,360,583,823,304,948,384,234,934,941,273,893,610,086,858,921,027,893,266,
329,131,852,979,918,694,477,598,310,399,424,938,625,046,731,660,811,603,493,
194,099,849,964,463,280,976,560,092,777,518,874,304,017,823,073,272,312,472,
766,497,018,914,431,882,218,087,325,479,666,011,035,423,233,939,495,879,908,
492,058,110,886,542,624,303,092,391,639,056,682,417,637,694,935,890,334,153,
005,173,698,826,778,629,794,439,940,965,210,672,222,568,854,145,700,245,648,
894,661,017,693,442,213,210,309,779,750,338,373,437,311,637,589,080,180,783,
649,445,820,299,656,875,417,906,047,131,435,280,830,535,377,331,233,488,448,
529,355,821,208,613,126,687,270,686,084,177,648,892,859,009,778,764,163,075,
911,102,049,894,441,904,680,041,440,698,215,428,593,486,250,745,422,988,899,
301,007,181,800,774,406,710,553,244,382,548,755,292,875,616,422,680,908,768,
698,716,111,462,832,805,714,503,767,511,564,637,092,923,515,631,660,357,363,
378,863,685,821,169,555,487,367,311,121,511,907,331,713,521,445,037,934,617,
400,168,080,815,706,116,117,558,282,266,802,088,674,776,447,260,775,766,989,
386,523,867,307,924,801,017,730,898,739,784,091,819,317,885,592,887,550,777,
318,559,535,321,030,950,537,643,026,297,633,105,536,279,793,904,392,954,100,
727,494,805,341,023,516,051,365,623,822,744,376,011,989,272,224,861,554,632,
627,318,445,201,162,083,841,478,575,319,251,138,188,500,100,026,642,817,947,
497,348,605,046,810,447,476,912,778,733,668,806,930,685,238,777,476,009,280,
628,927,529,657,372,705,415,930,278,909,227,388,898,089,790,856,482,629,709,
624,999,584,709,204,830,710,603,464,454,662,780,990,325,126,030,689,003,021,
253,156,294,504,538,061,935,138,755,298,057,269,090,809,348,530,860,107,997,
607,833,546,875,740,165,152,589,207,346,481,979,492,687,096,513,288,772,028,
418,104,931,158,112,342,316,240,753,425,489,000,056,697,609,142,234,458,043,
081,427,380,917,732,412,828,186,607,270,929,055,737,452,831,463,571,109,358,
512,858,938,386,360,716,038,156,899,892,622,305,413,193,077,699,059,655,184,
057,675,979,467,237,059,995,140,501,626,211,009,788,072,835,657,143,300,044,
058,880,559,129,321,790,007,246,936,527,692,504,381,127,753,048,681,493,025,
619,573,097,572,017,366,680,683,077,374,898,804,300,072,240,188,207,729,688,
512,947,398,576,956,093,494,659,815,558,440,824,287,662,389,050,079,089,106,
769,633,068,295,691,175,939,576,143,207,671,984,351,905,318,865,024,527,899,
156,111,390,697,222,642,454,312,210,943,716,027,349,784,435,962,871,926,579,
326,491,474,354,207,136,316,005,651,913,514,238,677,133,841,954,007,355,605,
723,870,007,079,237,844,692,876,178,502,080,128,244,093,924,428,096,470,591,
041,498,016,056,306,943,929,529,633,639,812,286,363,323,836,780,955,525,853,
166,798,516,771,597,911,933,023,434,675,492,784,756,630,686,712,635,669,989,
017,294,475,527,073,415,955,831,233,546,945,998,438,791,197,300,345,833,293,
716,050,744,102,618,203,943,646,621,175,119,098,618,800,433,554,288,344,535,
094,816,283,584,097,220,529,086,585,668,032,990,353,686,769,242,865,066,270,
141,111,858,985,741,201,625,501,444,188,400,586,611,487,090,793,225,633,544,
093,113,039,403,831,249,907,258,018,003,630,383,780,855,505,000,938,147,376,
258,633,041,220,274,372,214,331,165,877,937,988,721,700,163,082,047,328,551,
804,018,443,721,575,248,534,345,265,658,481,221,892,859,274,167,609,406,252,
804,815,611,363,160,661,907,510,408,012,765,064,916,186,051,180,662,117,582,
122,712,221,486,852,680,609,380,096,411,376,566,530,073,319,441,165,378,494,
629,386,600,263,507,895,461,012,399,803,740,993,747,151,436,078,713,790,181,
810,612,209,017,113,589,548,853,316,478,589,872,587,788,644,023,494,916,371,
117,995,535,818,789,526,918,920,937,657,825,706,945,003,873,706,311,982,354,
460,535,958,356,533,084,569,022,602,160,762,679,246,754,769,663,527,238,209,
184,773,123,395,057,437,923,097,630,819,881,679,150,795,484,512,058,160,352,
893,402,387,586,625,389,024,874,840,754,924,458,676,572,477,453,649,962,292,
735,781,063,981,137,936,196,231,814,791,292,307,760,831,003,738,923,265,935,
125,630,250,680,142,341,060,745,332,692,713,075,812,985,192,472,049,267,296,
998,076,327,843,997,406,807,183,699,433,077,633,191,887,823,783,788,419,651,
728,007,605,663,303,471,233,549,388,304,129,261,460,509,469,146,401,302,458,
128,260,337,089,697,025,509,251,403,966,242,765,765,986,725,163,403,957,308,
291,459,941,045,682,556,907,123,543,710,830,478,215,115,968,419,041,925,507,
332,329,459,250,546,862,819,981,936,019,891,454,204,021,734,884,374,096,295,
779,701,687,506,868,732,032,134,678,100,427,890,474,443,855,091,817,538,219,
327,737,455,172,958,513,670,957,207,002,674,592,941,222,448,544,338,023,917,
012,196,723,090,275,941,244,845,551,573,542,662,273,507,983,576,891,840,966,
158,264,994,610,352,228,094,582,013,245,092,402,589,632,336,418,887,750,216,
699,449,112,780,081,611,970,606,363,576,952,183,981,673,360,601,272,077,825,
914,068,391,068,701,183,604,060,196,822,287,780,575,915,950,756,588,741,799,
995,841,254,411,971,315,499,935,753,666,892,354,342,838,433,814,337,780,114,
769,072,064,444,140,619,601,140,929,517,019,982,533,698,615,077,433,763,233,
311,466,796,362,117,013,774,373,703,412,103,534,931,766,598,947,519,898,865,
261,148,666,881,902,581,359,728,918,097,319,450,896,133,901,145,225,896,946,
963,435,576,199,908,777,679,755,253,239,473,381,898,547,451,903,610,453,282,
609,668,435,723,665,412,367,019,652,335,779,535,382,117,990,114,907,811,906,
733,555,902,387,570,132,291,583,263,318,754,717,550,452,811,890,282,507,457,
428,471,945,422,231,953,304,852,906,563,165,397,640,908,592,850,868,038,577,
112,982,550,737,865,711,403,626,488,326,118,514,969,585,766,882,848,989,787,
444,985,254,148,578,814,500,589,086,772,772,914,393,790,703,224,243,029,468,
082,934,038,867,027,479,916,909,397,594,798,412,733,909,423,512,446,142,366,
596,118,064,257,986,292,852,854,905,016,165,831,032,293,272,180,129,952,295,
192,854,506,331,718,611,204,597,096,067,655,661,318,120,463,535,545,436,083,
611,443,348,870,744,472,142,102,251,530,494,639,081,723,286,077,072,441,771,
633,242,925,133,777,154,529,173,117,386,831,504,042,905,547,990,258,008,632,
636,638,703,953,109,296,658,804,152,731,745,556,394,420,349,707,455,394,632,
527,507,222,926,361,072,532,086,596,143,614,239,903,738,807,531,557,025,763,
173,249,176,869,105,845,044,358,520,630,549,603,298,755,306,082,518,725,027,
450,985,010,933,407,742,961,487,409,511,881,827,120,721,406,055,387,289,015,
321,342,845,174,144,357,251,585,803,204,620,036,061,780,673,482,153,111,072,
092,246,373,241,466,418,766,040,041,022,474,359,994,402,909,353,828,537,616,
145,204,760,949,313,422,141,029,203,843,750,818,700,421,494,205,990,268,422,
948,833,044,481,565,547,041,969,189,051,118,684,338,902,275,195,327,883,087,
307,673,506,258,431,817,603,137,272,586,582,833,777,074,655,078,411,549,109,
975,015,868,004,015,481,724,140,777,311,228,658,702,855,935,670,166,779,782,
940,166,165,313,702,748,359,419,273,397,622,675,095,016,244,142,526,256,152,
906,288,960,862,389,308,685,785,702,710,059,960,911,765,898,098,611,572,243,
491,401,088,669,372,206,315,459,314,990,405,818,083,741,866,383,783,422,491,
469,908,678,665,605,187,853,004,456,893,826,454,073,599,528,323,395,582,253,
214,824,818,597,733,765,726,941,965,786,481,307,687,195,125,215,023,428,461,
661,932,423,789,432,945,473,946,460,623,100,370,135,874,521,159,075,839,331,
289,444,861,354,374,291,262,905,555,698,813,528,839,988,053,015,472,989,390,
014,828,888,401,793,673,149,404,771,386,970,210,538,717,564,504,246,525,233,
130,405,458,182,673,528,944,529,492,969,915,854,348,132,909,247,808,652,914,
968,368,223,421,184,387,699,988,762,678,626,806,900,261,126,822,589,181,468,
964,852,506,736,093,661,478,618,417,454,526,911,249,859,250,377,901,990,458,
576,761,297,488,357,497,314,662,274,029,045,876,887,910,504,292,310,942,370,
410,481,783,565,383,979,908,414,748,358,095,380,306,657,530,283,386,668,561,
977,468,208,506,344,085,412,041,135,118,683,637,549,881,759,832,990,056,119,
267,499,263,924,932,133,033,755,824,430,864,399,235,684,827,629,956,418,587,
293,762,060,787,006,003,220,967,906,219,383,517,793,936,001,985,899,053,279,
629,549,629,940,238,740,732,947,048,941,904,349,640,085,818,128,651,490,806,
408,651,867,350,711,640,880,967,769,738,881,196,783,115,065,917,148,806,582,
135,864,265,322,291,962,919,330,478,152,496,842,554,974,521,236,200,695,278,
916,626,691,933,765,881,478,101,838,942,932,092,885,749,821,925,397,405,497,
067,040,194,883,048,735,789,861,614,152,701,281,396,038,864,951,050,698,782,
857,792,235,210,651,975,042,656,886,789,650,528,247,208,697,368,661,576,657,
672,120,303,081,129,134,502,077,079,804,892,730,413,965,264,966,119,869,657,
554,262,028,392,261,500,229,426,654,067,213,652,682,918,491,232,384,467,204,
170,377,158,811,425,321,067,002,385,752,223,712,106,276,908,050,096,423,951,
053,520,656,805,234,507,388,468,104,489,312,977,245,222,391,495,347,462,517,
960,105,748,024,824,571,885,983,295,377,847,475,534,093,320,193,887,532,019,
648,512,755,976,554,628,882,803,579,804,434,434,628,570,863,540,567,675,567,
471,449,331,336,474,417,068,537,013,730,398,106,696,110,948,184,109,596,082,
544,979,808,324,108,636,496,717,428,569,426,039,793,030,606,024,108,440,276,
644,018,615,783,330,917,656,510,770,855,577,297,106,982,732,394,083,881,849,
803,915,321,643,182,025,030,937,873,472,217,348,918,130,319,587,376,344,657,
378,394,868,549,658,261,786,350,010,527,905,494,175,105,967,651,382,056,527,
978,837,655,766,466,011,467,721,058,116,042,807,011,196,982,164,120,934,471,
877,730,086,223,962,562,620,742,814,149,101,951,097,217,474,720,067,931,047,
525,955,433,626,393,378,288,481,671,601,563,284,484,513,268,283,089,318,704,
593,535,686,186,964,739,723,931,994,099,519,344,349,606,722,006,674,937,731,
396,969,361,199,283,497,148,165,784,373,172,546,077,015,664,895,731,496,751,
075,074,855,923,300,499,761,412,517,929,242,277,908,328,111,624,231,798,922,
973,636,166,816,001,339,327,987,060,538,325,403,793,468,197,829,695,774,773,
246,625,319,822,316,865,102,406,688,420,253,809,889,727,965,735,018,870,725,
754,618,182,235,402,475,008,871,532,491,880,095,530,934,336,086,416,650,493,
046,336,551,363,290,682,525,293,587,394,577,663,243,246,002,679,554,355,954,
351,169,501,555,470,062,648,079,318,582,743,400,283,414,472,021,053,468,684,
199,871,799,318,405,246,323,573,464,462,228,850,932,759,733,878,123,264,362,
578,761,874,294,129,453,707,725,758,996,294,740,855,927,173,602,717,025,671,
631,033,233,115,896,222,980,975,571,383,528,989,322,122,445,813,846,840,416,
715,093,102,833,480,202,070,515,043,632,638,475,864,618,462,852,908,095,502,
164,444,511,119,044,841,831,715,960,800,850,351,714,337,846,105,236,850,527,
765,626,098,808,127,227,286,916,963,132,370,344,195,244,638,542,571,808,256,
696,566,709,343,623,115,196,595,598,026,044,424,326,596,709,024,245,914,130,
258,057,546,848,288,464,282,255,993,795,962,221,512,473,816,579,107,972,595,
560,694,450,331,085,515,394,557,154,991,361,346,267,304,452,255,213,871,338,
798,933,913,659,145,725,793,029,141,320,748,597,109,539,205,095,989,101,524,
034,179,626,602,559,444,631,393,660,306,541,973,326,878,042,389,899,465,893,
484,094,832,585,432,646,464,267,854,256,253,858,943,977,534,575,868,841,641,
064,733,913,125,101,620,587,382,876,012,780,249,112,672,903,506,346,563,708,
837,680,764,619,516,999,173,154,107,220,577,336,571,082,906,487,827,101,709,
796,856,784,564,118,981,316,940,162,950,945,404,606,048,824,812,104,638,028,
571,617,281,176,999,087,608,694,547,921,984,101,555,087,858,660,836,840,908,
250,202,888,748,121,392,866,016,115,363,041,815,704,423,326,161,643,058,600,
638,115,307,374,486,407,867,526,793,274,178,324,296,227,072,062,620,322,842,
929,117,218,325,244,947,762,225,510,377,552,979,953,299,691,441,364,467,024,
562,290,100,748,743,683,792,401,156,664,415,189,241,975,062,658,240,839,384,
268,620,590,677,459,219,937,930,816,293,479,853,726,937,378,855,564,335,779,
892,084,024,385,387,001,040,350,014,545,324,740,003,057,479,611,434,649,671,
698,860,053,554,077,010,985,745,270,859,678,223,652,790,032,695,073,550,531,
248,880,063,833,972,060,372,547,952,817,263,706,961,534,562,343,419,346,258,
447,044,947,276,658,774,929,276,232,687,003,685,639,429,925,199,363,805,606,
020,891,397,594,812,014,899,134,613,198,366,085,931,803,686,956,650,021,725,
614,697,010,004,751,232,685,320,785,012,742,628,206,522,920,872,900,167,603,
334,655,683,512,874,960,414,522,108,028,803,360,593,844,551,309,649,301,172,
753,473,940,618,946,783,740,985,052,477,276,927,193,262,016,152,924,694,764,
251,192,277,848,251,052,817,312,529,679,817,100,460,776,855,417,164,295,497,
734,167,470,710,218,606,099,311,593,984,265,103,153,404,581,535,597,862,000,
655,979,645,352,955,436,981,591,409,363,919,440,168,137,853,832,458,016,378,
192,604,343,006,386,711,130,617,867,930,151,263,890,926,032,451,141,055,067,
797,170,854,842,638,031,691,284,285,949,173,943,105,564,638,218,499,552,595,
017,728,799,536,826,389,997,741,037,710,966,584,106,578,508,044,482,993,931,
786,023,497,627,458,478,781,478,211,331,750,778,276,504,050,983,982,077,429,
907,096,193,293,650,448,846,248,302,683,305,509,294,357,075,384,639,679,993,
667,005,453,698,541,314,096,948,925,129,394,591,478,826,623,029,581,639,613,
935,540,544,590,220,303,960,032,670,648,346,376,493,223,116,126,828,152,330,
198,427,573,456,070,387,354,866,208,889,327,928,247,610,728,925,754,122,538,
144,933,866,186,403,788,514,078,016,554,215,829,262,786,399,547,876,345,741,
190,710,419,813,514,938,408,584,214,680,098,775,961,382,394,170,183,622,724,
163,397,671,839,524,872,275,337,907,070,080,857,216,771,782,690,164,162,036,
106,468,523,389,692,288,760,721,273,374,929,119,510,379,271,388,446,915,326,
145,179,557,287,627,239,038,672,157,358,853,140,287,477,630,643,152,614,962,
284,561,126,257,446,344,282,448,944,208,362,856,623,842,526,338,571,290,094,
249,529,808,145,472,149,222,767,067,165,818,343,882,059,897,820,156,095,842,
448,401,698,283,241,543,313,142,767,400,170,572,673,978,533,185,529,682,591,
918,219,016,271,064,258,794,541,222,702,606,717,033,180,551,286,069,669,038,
205,518,126,655,765,525,982,168,798,115,660,663,629,670,414,843,310,097,547,
928,255,982,984,784,548,410,810,721,299,666,656,813,360,076,314,378,701,837,
292,457,991,541,685,304,493,651,028,733,235,837,940,558,706,133,674,224,099,
446,878,061,747,921,983,264,254,148,417,483,835,183,968,611,105,027,703,838,
149,823,461,715,623,342,031,067,749,012,802,269,850,123,487,271,073,600,238,
328,351,871,069,204,873,450,181,547,302,105,840,359,701,531,509,534,435,370,
727,885,731,874,195,868,570,329,222,165,099,960,039,404,286,588,487,023,833,
464,439,046,065,228,141,691,317,386,321,703,789,697,401,461,019,467,704,328,
472,313,060,434,700,734,044,245,225,043,295,338,114,265,979,042,345,557,538,
285,761,195,886,252,038,366,287,539,670,629,790,023,635,813,368,861,797,595,
179,772,319,266,569,853,007,978,775,626,571,324,766,478,017,219,465,206,463,
848,705,497,475,323,671,883,918,871,569,096,460,256,011,797,882,610,948,689,
791,364,031,321,155,391,551,593,316,498,551,547,302,900,768,266,917,237,255,
606,151,976,150,851,776,769,363,540,551,968,194,688,569,356,934,937,548,115,
860,444,816,582,446,413,081,858,656,778,993,190,047,087,470,925,117,499,063,
851,433,112,717,024,165,709,776,031,949,814,905,555,046,796,443,566,550,609,
152,334,730,140,485,907,816,681,295,062,105,650,115,122,048,261,892,663,365,
178,162,200,786,152,696,650,069,978,342,441,212,964,364,063,229,634,681,862,
244,397,028,044,473,014,901,846,713,258,329,416,379,208,486,607,648,807,034,
866,461,150,388,496,470,100,543,634,268,432,029,114,761,650,054,848,378,264,
330,209,896,228,460,271,567,359,309,755,426,914,998,464,309,306,818,528,612,
265,798,240,194,107,522,003,238,002,319,887,297,200,736,592,553,018,448,252,
794,331,108,434,133,358,480,019,524,270,673,801,050,573,098,215,680,465,330,
074,837,577,797,060,445,840,408,716,094,810,168,424,710,145,115,720,592,292,
378,794,066,029,122,953,806,083,113,888,243,083,035,469,636,098,990,182,704,
136,509,965,835,147,856,725,501,633,337,189,370,728,007,892,995,227,541,557,
347,057,072,812,947,283,486,103,872,294,460,000,388,034,931,066,015,667,821,
262,138,244,951,543,452,559,909,105,657,615,863,904,896,853,847,907,152,902,
606,926,493,831,134,954,696,051,513,441,646,761,415,016,561,709,285,346,609,
609,854,386,355,852,557,738,089,426,614,483,745,255,170,683,178,664,777,645,
639,252,464,322,100,030,175,065,729,045,701,813,270,864,938,752,570,640,355,
704,407,644,301,338,052,252,430,293,186,553,274,549,367,669,099,296,740,384,
892,399,922,556,202,126,983,265,449,461,493,238,023,075,824,261,395,904,567,
790,433,979,472,100,310,560,154,191,175,901,462,226,804,280,943,505,920,909,
413,030,421,681,064,588,444,283,739,855,926,392,524,947,518,567,006,806,056,
815,054,325,597,797,467,205,318,695,469,209,307,934,134,144,011,428,928,081,
184,098,173,100,376,108,848,530,494,506,436,202,930,046,906,165,169,564,119,
173,425,815,321,482,624,695,098,905,971,167,553,061,231,832,026,218,499,206,
570,467,679,762,844,014,042,172,743,579,448,152,543,913,169,429,841,343,718,
383,052,417,208,439,837,167,212,149,241,530,437,972,543,029,485,679,849,667,
517,699,540,561,487,213,878,865,023,342,341,369,550,044,070,710,035,445,763,
681,498,597,316,106,720,726,962,871,149,483,610,572,839,511,843,286,145,926,
241,543,298,547,580,615,028,174,425,555,554,514,591,706,202,980,061,789,737,
522,461,274,580,024,794,226,143,715,471,494,110,511,141,893,322,524,171,514,
787,948,539,593,332,896,290,016,145,333,599,057,517,919,374,453,071,282,305,
376,452,060,827,334,623,428,122,040,026,816,866,661,297,178,360,040,563,988,
643,075,747,462,769,749,860,997,886,116,369,667,503,626,562,657,327,443,440,
054,771,823,426,191,702,127,890,668,544,301,196,915,950,289,839,817,700,496,
148,859,769,780,588,564,581,701,656,324,119,891,021,405,544,377,239,450,037,
305,924,672,284,561,321,276,288,768,750,386,794,970,675,158,408,517,291,606,
164,514,005,729,783,345,790,318,140,124,781,289,668,980,414,929,661,022,101,
673,254,515,875,555,013,057,436,273,893,999,648,525,515,768,560,746,637,514,
231,342,318,635,408,824,059,306,224,702,316,819,231,957,007,836,470,963,828,
675,632,784,428,579,562,158,034,076,528,519,486,991,965,764,347,901,064,965,
787,165,898,158,450,746,407,647,158,208,599,616,087,982,819,151,603,912,233,
029,306,311,230,581,860,721,847,184,336,693,319,004,266,348,094,054,668,624,
759,086,136,535,428,104,119,998,145,319,203,008,354,580,089,474,938,662,000,
247,352,145,974,918,876,866,145,196,285,350,867,235,058,440,288,651,204,848,
049,329,659,359,665,933,107,210,374,137,206,286,614,709,203,975,906,901,374,
991,936,397,320,544,647,003,716,726,628,398,115,739,873,456,952,927,589,313,
557,546,876,234,810,352,762,315,119,149,265,410,546,993,377,235,805,617,713,
007,126,039,725,349,723,465,647,839,781,130,721,676,264,313,303,070,283,570,
218,493,713,191,175,449,774,681,911,834,576,958,213,452,170,088,156,120,713,
813,751,384,800,207,536,223,587,005,155,116,598,237,197,728,449,639,942,242,
966,041,571,006,511,041,343,950,578,013,104,843,430,053,894,348,731,821,723,
781,068,138,453,347,096,357,877,841,890,027,249,489,287,048,158,078,307,920,
556,227,406,262,127,859,782,816,142,986,898,917,794,838,717,715,757,727,663,
159,994,380,493,171,275,480,370,348,711,041,554,826,534,442,847,122,193,130,
347,637,271,111,851,393,731,391,002,531,528,698,396,781,297,307,962,356,497,
456,305,204,110,680,248,324,955,029,981,755,790,078,410,358,971,831,600,501,
750,360,551,770,435,860,780,738,719,210,868,303,167,972,416,416,949,413,268,
375,338,779,524,962,684,557,691,805,436,644,932,414,815,849,902,982,051,057,
059,437,333,232,909,583,845,073,076,429,051,373,308,873,706,517,481,041,740,
106,020,602,682,128,476,636,215,229,510,847,829,658,110,800,976,465,821,313,
500,582,147,678,172,343,726,810,194,127,460,046,754,082,643,197,004,285,419,
015,394,275,473,301,064,050,631,115,728,614,112,131,942,464,873,937,031,796,
551,891,214,761,633,733,194,044,043,647,192,792,600,978,852,910,526,423,399,
213,693,230,880,446,444,160,530,889,318,544,364,466,894,455,779,553,095,536,
240,503,152,611,343,269,399,373,070,021,536,724,646,207,641,262,886,350,524,
687,379,202,545,613,436,284,064,365,048,129,563,891,516,419,890,993,811,069,
646,888,126,257,064,624,902,869,907,025,051,196,673,516,178,055,221,944,155,
759,551,915,433,169,033,878,798,971,127,032,732,188,510,536,564,355,015,951,
818,758,774,224,841,102,280,295,391,642,427,788,380,446,114,742,352,790,448,
692,134,152,172,709,177,214,631,004,825,031,186,074,239,831,456,248,976,890,
605,332,377,251,130,838,660,461,118,758,356,897,706,223,007,079,719,826,246,
472,732,062,013,382,142,899,764,946,626,080,922,422,395,035,145,033,716,661,
182,669,608,287,477,422,573,873,777,990,089,454,547,514,284,087,931,330,739,
491,563,624,131,240,056,317,832,540,565,679,960,067,882,859,620,369,506,315,
216,543,002,863,710,460,089,247,111,517,182,700,437,841,055,651,306,106,216,
492,822,226,034,232,361,628,979,437,413,313,778,417,561,170,473,792,418,434,
055,439,743,126,194,988,086,160,278,908,178,165,135,927,744,327,554,794,364,
146,099,690,245,887,449,057,661,430,064,006,216,150,692,808,529,765,455,548,
945,308,618,221,767,795,229,284,876,047,955,810,620,620,554,417,776,468,395,
649,097,189,883,582,355,279,244,179,840,628,452,254,460,823,818,131,794,588,
120,492,157,689,326,895,817,247,765,503,098,655,029,626,062,866,727,300,916,
989,734,264,228,657,811,055,464,457,978,101,235,604,702,665,514,283,694,412,
943,817,918,651,571,178,489,320,557,154,621,012,287,169,207,684,943,098,201,
199,414,176,107,624,502,783,209,580,038,590,876,770,662,093,246,547,423,468,
630,819,255,895,208,116,407,223,021,061,325,851,754,565,709,630,594,150,432,
221,464,363,453,411,928,936,729,122,241,802,513,608,532,499,344,452,137,666,
136,515,961,392,315,281,004,509,831,213,149,440,134,814,223,709,175,333,983,
808,767,536,959,828,044,790,079,385,028,435,455,894,199,096,385,921,679,735,
589,315,590,029,066,768,833,586,134,176,711,537,137,547,527,611,941,432,528,
258,608,983,711,660,204,599,657,046,496,018,010,308,272,191,055,606,467,765,
558,639,790,300,743,059,409,168,029,839,004,027,463,648,321,468,761,338,765,
430,360,932,394,853,118,133,645,345,318,653,060,317,598,356,596,199,016,040,
226,980,886,915,045,107,748,880,383,388,641,230,204,312,150,510,337,730,689,
180,148,950,964,522,549,606,467,228,385,010,064,258,518,482,303,458,806,142,
057,958,469,631,311,091,770,231,699,982,968,791,311,746,883,748,353,658,379,
685,302,249,408,034,264,267,550,079,646,344,425,699,958,624,608,637,033,935,
378,879,544,980,924,418,570,180,473,069,521,657,258,308,405,062,517,340,872,
619,122,501,120,492,352,516,667,499,751,364,200,393,123,363,965,484,195,320,
344,340,808,193,439,323,295,291,107,613,993,216,396,722,446,947,943,751,301,
044,833,949,386,657,991,541,219,050,339,806,349,146,885,698,542,130,168,074,
256,315,605,612,777,027,771,117,330,650,506,121,186,537,391,744,910,846,739,
079,165,853,968,669,225,526,073,541,641,800,155,916,569,458,988,871,050,554,
073,851,180,446,742,100,731,353,190,837,191,421,689,893,055,635,406,398,223,
873,450,253,294,406,904,599,126,181,374,261,863,124,689,292,211,295,435,162,
665,763,677,815,116,224,922,567,119,531,431,304,515,002,687,818,095,666,877,
056,115,731,107,443,430,542,317,419,013,307,033,201,149,170,287,255,766,338,
139,653,523,206,973,058,177,068,748,864,075,216,660,139,483,284,945,854,507,
792,287,194,590,394,647,303,035,437,233,575,491,605,466,142,041,162,777,786,
968,004,592,971,571,862,194,429,286,120,322,696,759,800,326,142,942,150,194,
021,274,646,112,221,444,813,003,974,944,349,697,055,746,746,286,684,335,249,
249,281,478,328,939,734,066,150,541,815,394,204,799,128,240,481,268,220,739,
143,657,408,781,203,593,309,134,394,554,358,540,693,824,007,125,354,758,043,
823,547,367,564,499,761,067,449,888,443,860,156,879,356,748,920,840,784,856,
157,637,142,634,111,258,387,133,221,193,051,439,256,470,018,962,397,226,329,
344,180,637,224,870,636,935,294,250,300,528,969,711,812,992,887,817,624,039,
526,806,046,503,573,324,316,588,219,989,047,192,860,634,472,711,549,393,631,
033,585,746,373,974,951,080,774,604,801,941,551,316,831,678,120,560,357,754,
587,469,513,201,023,165,075,218,320,161,923,729,478,411,244,861,839,105,205,
581,138,476,887,863,606,119,836,136,725,824,702,536,320,604,118,916,766,068,
939,508,517,803,887,766,200,680,706,584,961,859,399,709,294,424,279,359,522,
200,879,787,686,733,041,372,713,053,400,754,945,452,848,598,573,700,613,814,
645,905,216,792,582,389,435,950,666,065,196,953,083,911,024,734,987,331,060,
067,318,331,173,438,800,086,355,295,356,795,871,943,451,946,595,345,977,647,
058,374,649,347,362,649,253,736,013,754,931,513,009,363,639,199,328,861,874,
838,391,627,486,796,976,465,934,202,284,845,278,957,192,775,697,970,154,724,
498,128,598,001,655,718,641,404,253,338,412,286,627,689,991,990,771,656,659,
925,422,049,251,949,397,874,575,564,301,144,207,396,710,156,316,362,217,714,
765,334,247,275,820,203,138,296,584,127,801,493,652,490,514,064,674,409,864,
563,883,648,466,602,529,053,030,952,299,085,112,607,239,310,377,860,301,179,
229,001,789,755,101,540,024,764,326,236,976,214,136,361,707,449,261,680,524,
398,085,247,139,732,410,729,891,941,897,673,624,517,789,209,223,352,295,893,
933,210,662,022,650,468,700,017,615,794,933,300,402,212,725,686,049,328,131,
660,764,029,595,770,747,307,437,697,206,704,958,239,803,060,489,184,899,774,
814,047,138,686,291,654,659,429,784,383,887,063,394,669,591,692,726,157,101,
512,977,265,852,308,814,461,225,445,219,322,555,619,873,862,846,787,034,510,
329,634,735,224,726,134,010,228,529,374,397,562,990,397,400,595,633,578,464,
184,646,994,599,214,047,368,526,025,494,222,867,649,072,822,291,793,911,579,
085,539,140,853,676,838,719,583,722,491,131,129,294,873,320,183,059,940,299,
786,860,711,529,910,037,279,843,039,379,050,486,441,248,313,332,931,791,923,
050,201,345,074,373,803,780,092,811,002,592,459,636,425,981,749,638,817,896,
041,451,130,141,488,801,507,171,026,544,644,091,768,892,116,755,424,518,435,
166,870,762,434,164,961,839,748,740,094,997,361,747,460,373,373,733,964,959,
350,548,599,769,787,138,548,713,779,653,047,848,682,832,494,341,025,975,866,
865,220,713,000,934,100,222,380,035,470,610,482,533,994,916,244,433,971,912,
568,268,628,401,787,792,503,853,211,983,072,909,251,185,695,313,255,199,655,
682,534,448,720,416,262,862,136,819,560,716,862,661,614,729,460,722,717,757,
967,016,390,322,147,061,190,203,844,761,463,514,400,549,987,100,815,362,724,
130,352,385,545,207,077,578,917,903,556,756,976,831,961,807,045,029,060,382,
771,325,094,791,172,967,544,496,088,734,345,181,470,483,918,339,699,234,360,
136,359,387,942,659,583,667,219,996,895,324,171,243,102,001,770,219,409,766,
702,531,099,852,778,764,828,087,019,451,337,806,348,626,712,457,929,223,118,
243,614,086,350,178,595,644,525,365,827,787,181,709,650,911,561,034,818,756,
796,567,823,663,542,859,314,435,740,075,865,770,137,471,471,421,751,281,332,
693,731,315,492,086,360,564,786,911,068,280,098,061,954,337,491,228,292,911,
800,473,770,934,553,624,318,194,459,228,734,731,474,640,155,062,205,333,783,
610,900,117,284,929,666,247,579,453,973,161,446,267,157,408,403,735,216,620,
199,881,701,340,989,075,224,665,975,553,880,790,480,414,864,983,197,688,358,
567,763,660,493,829,968,613,034,282,883,581,913,068,727,697,003,817,716,317,
033,264,430,839,807,762,454,783,525,517,147,115,895,594,875,109,196,321,680,
893,863,691,265,012,234,970,653,608,519,661,273,593,032,123,346,092,238,885,
099,470,328,265,455,479,401,232,729,625,017,061,141,701,063,754,722,394,752,
391,788,441,342,717,149,194,799,520,663,123,327,475,853,958,280,906,215,293,
438,388,782,135,541,714,408,932,048,858,526,054,752,242,999,321,140,635,082,
380,453,943,789,440,823,282,185,373,183,981,383,840,315,254,945,294,106,177,
502,276,911,754,333,976,967,677,170,715,616,320,278,247,402,522,366,722,126,
388,188,025,312,220,546,546,729,568,924,076,668,462,923,464,333,147,365,973,
637,242,710,080,909,184,164,968,148,303,123,683,482,357,566,290,287,571,617,
339,784,761,406,705,786,500,246,325,185,511,611,308,318,335,886,451,366,350,
572,784,693,916,619,425,096,536,823,598,848,604,157,018,904,093,891,602,291,
018,127,441,504,760,246,444,511,583,896,496,869,465,302,084,492,558,456,670,
988,942,126,068,439,603,694,724,220,373,329,805,625,198,755,289,217,358,245,
368,211,122,511,646,366,977,488,611,621,364,210,815,134,246,020,126,011,159,
113,675,303,738,532,688,197,513,951,937,874,951,939,843,551,138,706,026,876,
599,906,480,017,670,809,935,221,610,618,075,775,200,032,899,764,665,864,507,
347,597,579,863,899,095,707,900,576,098,240,575,588,724,104,032,567,443,766,
724,352,604,734,773,398,846,645,929,919,212,894,635,062,033,547,066,161,751,
965,165,289,495,734,844,157,183,839,488,423,413,623,760,739,998,631,582,457,
711,272,039,424,877,381,782,032,188,945,545,218,013,302,295,267,674,311,941,
330,290,154,870,097,921,082,051,839,150,069,735,370,016,314,396,494,132,334,
196,344,149,581,158,890,119,680,817,441,735,089,394,262,602,729,278,995,110,
468,691,058,902,862,500,481,746,770,889,106,359,707,877,349,340,119,747,932,
882,756,664,600,686,248,166,373,966,657,617,370,790,378,860,547,840,318,778,
566,884,568,158,041,004,507,174,185,545,235,308,744,223,882,023,668,207,489,
368,490,340,032,772,910,511,586,068,747,438,191,229,894,768,667,505,441,535,
344,073,563,562,001,865,492,099,454,551,713,765,699,086,000,439,554,239,503,
965,204,145,207,151,123,505,294,443,660,482,944,508,834,626,493,721,332,493,
366,308,197,322,340,712,821,126,554,031,886,591,881,722,248,905,660,363,367,
968,263,675,986,766,043,171,569,232,503,530,281,532,747,818,717,343,697,930,
108,455,279,782,403,720,831,988,840,232,678,913,968,527,731,756,567,763,039,
221,521,090,885,230,954,298,086,313,201,889,559,663,693,478,429,255,243,584,
417,974,234,722,263,467,281,328,768,088,162,181,081,721,265,044,943,589,236,
023,592,775,824,098,802,557,829,791,258,044,058,962,906,803,438,738,612,479,
364,073,507,516,681,276,329,337,695,557,339,471,443,316,121,809,221,480,942,
617,542,889,840,045,765,189,712,654,762,007,484,628,016,482,893,618,819,983,
241,365,020,485,105,496,466,056,762,847,430,915,583,251,519,590,445,199,106,
603,548,151,183,551,479,228,340,777,190,210,901,702,754,725,749,077,847,756,
766,483,161,249,619,663,173,054,126,279,779,446,584,727,178,190,456,379,441,
711,786,702,854,122,720,259,662,772,767,466,051,319,092,320,073,146,936,843,
323,582,870,370,193,176,560,945,002,081,687,170,336,358,411,894,883,623,888,
866,152,567,492,892,679,017,347,551,592,124,816,666,329,634,817,788,433,346,
810,104,584,931,431,737,729,655,475,078,153,855,189,993,137,443,355,133,324,
840,813,243,931,044,809,013,286,980,230,863,908,997,203,053,001,266,325,206,
126,892,247,766,776,544,830,683,081,947,224,287,912,492,941,911,044,114,515,
255,058,360,263,180,268,121,504,563,047,150,361,156,129,645,387,823,690,394,
065,105,396,699,333,801,914,766,873,244,124,396,678,113,820,627,664,295,034,
416,035,995,198,929,642,465,900,993,772,616,521,736,760,792,937,645,172,682,
454,454,603,357,223,299,981,572,242,935,076,802,121,827,473,934,650,911,032,
499,645,046,269,835,134,272,749,369,582,655,935,338,252,896,740,566,794,876,
634,949,113,248,371,676,469,081,484,469,783,499,371,419,977,562,721,666,041,
301,505,168,263,007,615,764,451,795,472,574,815,841,065,507,066,863,643,698,
291,613,078,953,768,444,830,334,823,987,877,924,883,064,476,486,711,878,056,
972,591,487,810,582,300,440,068,625,219,941,292,938,869,497,450,158,853,094,
094,736,372,408,647,267,649,953,246,352,508,860,135,790,387,342,769,510,430,
903,467,626,927,800,101,034,258,846,646,720,638,179,435,747,423,387,640,786,
056,573,921,374,180,750,678,904,836,729,744,521,844,469,327,064,799,671,008,
535,628,462,892,312,653,430,725,703,397,121,713,351,562,673,648,005,810,700,
605,927,762,447,665,183,727,256,746,522,100,996,617,233,435,942,261,922,653,
638,672,903,199,923,328,186,645,892,594,098,185,583,590,962,210,550,772,317,
838,588,627,974,755,806,107,268,424,509,494,208,228,413,593,933,413,427,429,
430,749,134,627,824,895,424,467,115,107,803,413,235,162,411,934,606,538,846,
184,417,757,456,484,425,058,214,415,706,242,592,276,816,208,082,954,869,434,
527,299,483,830,735,794,105,884,003,207,845,332,342,049,873,351,544,364,863,
566,022,094,773,277,477,947,113,731,323,700,051,805,981,014,901,971,314,624,
394,318,420,083,728,061,345,499,757,732,998,108,326,097,939,642,039,407,918,
302,871,406,031,392,482,151,600,113,311,146,290,664,210,698,804,384,123,157,
766,567,514,262,711,890,439,412,475,201,305,090,257,060,655,184,468,754,726,
696,273,082,799,331,799,110,684,666,462,351,721,194,549,254,596,137,557,305,
639,384,218,553,034,961,834,667,896,519,151,082,258,055,159,124,048,049,323,
674,429,101,637,269,304,541,453,153,484,162,301,102,507,158,056,980,468,839,
446,761,582,018,413,619,181,809,883,850,356,516,237,406,974,815,456,819,000,
032,569,141,468,445,450,463,086,220,009,550,644,465,357,864,070,014,478,210,
210,834,025,265,004,484,476,323,705,434,180,931,917,015,660,907,282,335,415,
377,331,119,917,494,922,958,027,474,583,323,235,608,326,500,300,298,979,888,
070,931,196,445,556,067,239,286,845,285,942,552,871,192,749,612,941,202,616,
033,400,801,301,247,413,706,750,190,216,890,335,793,418,932,984,412,512,187,
293,412,000,640,673,753,785,419,141,720,811,647,496,258,019,203,808,215,946,
721,153,615,483,162,896,081,271,679,920,055,670,764,271,435,145,942,902,733,
176,998,975,855,311,531,317,272,379,618,788,393,348,533,230,149,527,924,946,
941,973,843,538,911,697,788,614,572,186,005,827,174,758,118,584,164,526,703,
246,545,355,935,190,933,106,872,596,908,234,618,753,683,854,806,428,452,018,
247,665,643,926,487,701,878,577,873,048,082,822,541,180,233,296,427,794,492,
434,868,377,015,803,767,477,726,085,893,646,864,886,755,910,168,926,894,250,
509,428,592,163,913,827,104,508,327,143,820,010,224,905,069,740,462,052,342,
363,486,070,555,413,913,265,643,039,870,396,946,427,292,535,177,928,712,511,
237,646,148,292,902,980,109,752,020,204,050,516,805,207,119,420,520,901,991,
455,876,993,827,672,073,442,681,458,105,461,490,392,205,936,637,157,945,848,
157,494,878,716,372,558,398,057,118,828,699,122,981,588,568,811,728,104,648,
357,455,130,602,384,876,189,734,754,352,948,702,441,487,513,706,299,213,662,
574,289,457,703,097,735,288,804,260,770,793,583,286,164,910,906,129,022,874,
094,361,237,072,117,947,100,425,130,788,419,798,690,274,141,253,370,253,014,
770,701,919,356,773,863,560,156,582,006,868,233,729,229,185,486,339,457,810,
725,421,431,021,696,040,458,860,790,705,387,950,946,295,033,351,471,054,479,
506,816,196,525,159,198,096,665,526,047,273,893,664,644,403,208,716,196,282,
517,397,303,789,070,450,797,521,241,671,463,732,840,724,851,991,913,875,423,
443,805,201,590,612,334,897,113,409,669,596,430,363,222,500,572,541,088,918,
595,705,912,258,098,465,680,290,441,658,749,737,168,522,183,648,674,570,783,
266,538,292,584,967,303,371,223,309,236,606,326,419,471,825,834,483,733,905,
312,715,686,157,842,556,138,052,444,975,282,661,056,922,837,847,194,852,766,
657,619,877,485,729,237,250,355,802,402,795,725,297,278,379,488,212,899,277,
084,765,057,989,586,728,660,122,465,789,661,930,811,097,933,491,587,988,331,
074,067,066,452,692,713,613,992,252,897,594,156,890,789,950,720,995,631,122,
151,529,648,388,824,455,809,442,042,941,791,631,991,155,371,404,263,269,454,
340,512,979,134,433,434,869,749,296,599,288,765,350,069,322,099,114,510,989,
605,664,765,585,543,847,107,919,987,973,579,512,378,840,048,502,586,538,793,
462,643,150,075,931,044,340,255,128,498,488,853,888,974,337,177,286,895,184,
955,399,757,491,161,279,786,509,337,038,284,767,299,572,292,261,166,131,708,
408,475,723,775,355,344,961,406,483,331,868,775,102,339,616,939,242,670,407,
042,024,814,038,086,588,183,093,722,453,334,097,569,222,914,004,335,657,528,
134,295,814,570,250,504,853,481,745,562,610,902,263,178,132,618,101,709,139,
846,458,924,936,267,367,477,339,903,206,730,099,005,643,638,079,076,916,071,
549,275,278,877,808,451,986,053,511,580,031,021,464,398,744,391,528,692,624,
149,274,769,564,585,440,652,464,971,878,064,704,002,945,889,102,005,635,237,
683,055,291,680,770,863,529,216,112,153,262,482,128,365,638,980,168,327,956,
082,385,068,864,347,406,657,088,421,638,059,498,968,662,825,259,973,005,979,
898,293,542,089,084,606,938,242,176,461,389,031,960,245,171,236,375,258,807,
350,763,941,800,849,867,739,193,687,679,097,662,624,490,656,643,951,540,300,
320,611,294,006,981,995,588,149,496,128,199,328,664,167,439,400,942,443,123,
825,901,926,239,575,635,682,681,027,095,735,786,557,060,796,640,206,209,715,
257,851,547,287,167,385,561,995,473,082,827,783,993,551,424,541,960,088,964,
431,397,484,410,767,472,530,309,211,840,493,662,492,553,553,999,374,489,438,
736,429,343,233,218,278,354,834,353,171,533,567,211,610,495,072,440,805,723,
682,733,799,895,679,384,582,728,411,232,250,113,962,005,152,401,012,725,411,
491,715,540,936,820,693,053,694,477,263,245,274,638,649,323,176,201,578,174,
170,505,517,117,353,580,973,863,737,830,449,829,001,291,054,230,887,459,323,
166,515,312,699,269,562,424,659,072,860,703,453,610,453,021,123,798,553,990,
113,978,187,471,859,791,756,720,592,283,379,068,818,269,608,854,595,608,046,
176,728,917,501,334,624,144,068,479,686,449,219,967,995,643,955,683,987,106,
730,041,001,358,121,903,616,681,072,302,103,969,451,298,485,516,504,154,272,
957,313,519,517,586,420,013,899,625,406,075,980,248,345,320,193,562,333,912,
738,302,067,802,724,857,273,071,041,187,463,776,851,649,788,980,955,492,395,
983,426,144,438,522,273,304,463,775,606,694,420,004,927,737,130,836,977,141,
530,796,307,590,466,547,499,995,288,811,591,594,455,005,273,671,151,678,779,
060,874,774,059,168,860,397,395,414,635,782,614,460,399,213,492,421,128,415,
198,325,735,121,097,060,291,779,116,652,216,962,145,843,817,131,954,120,360,
545,411,638,599,867,065,372,356,733,218,322,674,817,377,038,983,560,403,534,
100,136,951,530,725,487,178,798,722,333,541,680,295,548,774,354,150,429,025,
949,387,729,791,254,239,076,660,123,865,641,247,198,985,334,625,510,550,892,
723,164,240,708,119,372,888,431,336,362,420,902,095,152,564,459,608,796,194,
273,113,774,267,184,254,132,428,430,824,123,414,011,650,165,077,404,108,364,
595,158,517,028,948,640,351,915,506,163,474,355,309,986,305,258,374,351,155,
317,685,167,983,255,778,589,069,567,527,205,657,616,475,484,367,779,099,362,
964,863,664,592,146,463,856,456,135,609,125,912,080,941,852,819,118,149,589,
706,158,176,310,792,367,571,762,031,314,520,938,394,422,026,786,387,611,880,
988,962,980,010,033,219,927,442,417,096,741,557,828,147,529,825,904,121,046,
835,286,542,461,898,584,290,929,171,010,836,205,155,492,198,542,265,286,376,
221,785,899,487,924,411,916,795,424,463,242,220,298,363,206,182,956,727,645,
601,611,170,523,528,694,544,749,608,453,398,450,030,002,368,361,199,876,205,
751,027,436,009,698,982,518,128,711,721,037,436,079,219,060,912,300,547,014,
986,074,355,452,431,244,643,590,848,211,412,732,583,321,236,636,400,068,065,
117,540,499,901,225,595,643,494,309,459,716,382,118,012,101,527,349,839,994,
237,646,788,929,502,770,003,934,164,216,366,745,880,100,636,567,338,768,821,
797,295,635,056,124,238,518,326,403,768,792,914,904,530,120,497,339,520,774,
051,602,102,110,356,658,650,356,351,516,339,166,776,074,066,376,262,583,839,
484,723,991,434,105,234,438,197,334,153,958,994,602,761,379,239,219,963,160,
914,097,393,456,345,992,622,685,559,656,435,460,903,097,784,016,104,067,358,
206,425,151,682,448,696,403,885,915,281,559,871,464,336,755,155,945,566,557,
159,646,108,095,378,982,539,831,538,484,859,500,164,150,456,486,817,659,545,
950,946,332,752,546,995,227,603,389,223,243,530,428,311,385,047,087,743,297,
890,325,674,951,732,430,801,919,242,253,492,162,458,810,243,002,404,105,339,
516,190,564,875,352,691,106,321,526,974,531,083,652,722,199,345,441,414,625,
737,804,624,227,240,271,065,943,384,174,055,904,626,719,855,432,895,923,880,
768,659,846,693,477,257,221,313,270,663,222,251,401,261,508,963,159,679,002,
987,414,010,285,745,398,516,628,928,560,410,266,866,798,377,335,337,018,176,
356,542,845,812,995,632,959,070,360,672,525,863,231,949,968,020,262,376,243,
384,798,400,420,488,774,177,757,711,778,600,874,666,673,092,351,716,944,925,
900,819,205,476,501,890,296,104,239,587,204,137,618,236,844,599,969,223,662,
649,779,394,989,740,853,322,109,825,926,751,215,140,053,078,615,526,724,364,
150,296,444,126,084,836,541,324,387,836,202,938,774,169,787,367,929,855,160,
323,549,221,716,101,364,627,349,839,753,186,451,703,096,252,856,546,222,457,
211,614,379,241,402,652,896,133,521,677,529,881,328,608,730,909,160,092,476,
470,321,529,366,696,418,734,820,969,761,893,517,473,048,103,397,564,985,856,
336,121,299,818,422,830,730,497,889,285,297,908,943,874,388,591,579,091,454,
909,050,055,454,722,071,916,857,962,027,734,399,316,388,393,597,247,206,873,
142,002,965,753,839,728,749,295,823,519,864,720,296,143,660,431,543,909,695,
380,789,216,543,935,399,753,228,167,822,756,072,060,058,306,230,912,078,189,
253,245,622,544,232,657,283,855,336,431,346,803,018,636,740,892,775,808,627,
979,166,665,675,127,592,419,175,180,096,342,867,411,998,674,860,133,316,972,
986,447,064,090,169,104,819,607,608,206,189,476,010,683,193,934,428,097,002,
684,408,834,315,399,341,986,448,166,492,535,554,336,127,727,625,606,325,668,
182,959,195,910,700,771,781,316,936,696,674,108,083,395,694,892,310,704,270,
011,577,238,291,488,653,582,986,433,810,148,995,133,288,039,624,345,478,012,
867,502,282,076,596,649,360,671,044,144,862,814,533,188,447,151,185,195,725,
341,178,164,161,051,192,992,711,819,345,959,996,577,130,240,907,101,693,300,
602,246,549,364,950,687,153,456,659,759,596,212,607,396,225,896,947,861,549,
716,242,566,456,569,948,425,633,395,388,872,893,673,324,355,865,635,151,033,
344,275,827,523,947,848,727,353,463,960,995,535,293,400,363,793,290,720,783,
784,534,367,914,611,590,019,553,670,679,142,615,690,097,715,357,748,903,280,
035,172,647,628,170,768,197,022,846,507,582,117,966,649,305,703,270,250,818,
518,030,957,514,892,636,852,480,685,184,485,521,875,881,212,223,450,861,971,
000,721,833,459,285,790,563,795,492,944,694,682,744,651,936,149,602,402,628,
475,425,695,825,190,641,806,777,241,731,080,835,718,537,085,009,501,292,040,
100,421,414,012,406,445,063,759,937,716,676,621,037,560,462,226,001,159,304,
211,124,294,473,821,006,464,768,728,361,228,709,592,632,553,392,352,209,197,
907,198,417,586,723,586,546,517,355,127,751,179,507,832,165,932,649,177,389,
358,073,454,697,852,405,454,999,572,445,290,036,954,689,423,915,266,332,150,
762,393,621,942,804,073,743,367,919,270,534,465,055,257,429,142,100,521,726,
877,024,187,552,695,104,547,093,673,140,277,660,391,798,937,979,636,011,870,
914,650,685,306,753,040,216,701,557,719,518,343,510,777,182,075,873,402,279,
688,363,576,809,716,225,662,742,781,896,401,652,772,917,385,453,466,124,049,
743,692,357,573,517,783,053,806,816,317,438,785,449,439,275,461,479,056,608,
740,263,824,690,237,707,624,265,555,706,798,878,320,012,175,986,368,869,601,
866,862,845,180,426,706,800,989,463,596,231,616,541,287,556,285,601,236,576,
068,873,963,013,573,855,484,047,746,776,506,374,877,408,142,048,249,922,969,
611,195,030,447,256,405,842,655,938,135,754,287,414,704,534,811,518,316,622,
233,713,920,242,320,705,711,663,631,235,283,290,411,365,555,272,064,482,069,
819,839,610,369,196,489,791,578,625,502,987,158,498,956,379,752,915,550,117,
522,348,201,658,225,449,347,887,408,512,339,718,719,378,617,759,952,550,386,
718,422,642,025,928,393,285,731,912,592,899,353,130,083,665,440,015,458,149,
707,476,676,276,199,895,774,421,355,056,043,586,923,192,477,874,427,490,061,
573,020,821,041,911,950,931,921,697,025,510,121,452,901,808,995,016,006,376,
660,354,448,277,005,877,822,001,363,099,492,620,437,769,951,119,561,235,842,
537,870,860,761,095,634,062,645,582,869,833,812,279,242,916,147,737,455,048,
167,123,178,932,291,396,599,425,755,903,430,218,678,812,902,107,719,949,329,
221,284,489,409,578,297,185,316,358,490,412,050,010,399,330,261,842,754,016,
583,145,272,625,919,302,609,832,431,501,164,351,904,116,926,187,618,268,400,
627,619,843,528,234,788,837,571,360,820,877,911,222,602,540,677,129,942,474,
743,241,084,410,750,396,558,523,537,054,018,251,218,773,398,373,613,792,732,
668,713,371,901,403,750,451,997,198,316,817,380,027,898,151,352,847,068,894,
461,959,435,305,099,491,351,809,709,366,848,160,681,481,516,256,334,814,911,
277,197,425,832,532,161,667,097,093,154,030,567,389,671,108,371,402,943,385,
394,258,244,348,906,357,143,743,534,357,219,718,708,869,294,840,102,529,709,
170,432,025,782,637,365,452,347,370,694,651,740,709,664,174,073,385,753,267,
072,225,035,476,073,830,666,436,847,216,467,413,914,644,343,367,802,839,190,
576,524,320,769,440,353,536,484,156,434,355,818,890,016,851,387,148,073,632,
044,698,706,862,042,669,552,513,221,846,517,881,532,119,622,641,737,021,404,
327,814,611,958,450,965,634,177,263,446,431,802,954,331,619,490,841,876,025,
227,062,462,187,089,538,312,421,688,752,363,073,178,606,340,407,731,490,763,
588,860,154,817,551,583,004,976,969,592,621,704,520,931,267,821,087,361,869,
525,843,720,250,551,140,088,028,564,594,352,184,339,660,575,231,402,685,296,
234,577,251,566,448,665,612,801,188,464,897,383,024,059,882,727,868,502,584,
942,578,478,330,297,373,066,016,344,398,358,981,382,360,314,294,392,091,457,
428,931,224,924,324,261,719,090,990,306,792,135,319,665,597,140,784,509,622,
743,589,831,837,343,613,214,470,057,567,965,546,457,783,389,080,954,475,352,
422,006,639,502,039,002,920,835,574,797,200,509,304,496,218,963,578,286,998,
011,416,661,789,931,015,091,829,229,313,141,193,170,831,985,227,052,716,818,
286,483,568,087,458,273,344,574,490,810,796,718,301,170,871,911,259,819,898,
492,056,073,275,125,795,154,345,600,280,133,826,530,010,730,489,448,559,544,
740,064,387,314,783,308,536,697,627,464,587,075,090,193,570,214,143,900,122,
011,118,858,376,756,281,252,622,401,183,013,742,810,268,324,066,601,506,317,
202,790,726,288,464,683,170,423,675,798,673,269,743,452,535,737,390,836,636,
051,793,424,407,089,355,288,205,877,369,246,007,144,492,671,660,712,058,817,
079,696,243,794,917,631,588,184,242,988,570,928,380,615,832,131,681,235,970,
581,122,623,329,126,426,938,302,603,284,451,019,603,179,974,582,574,586,465,
886,178,908,618,333,338,081,502,300,449,541,810,822,276,878,557,648,841,277,
103,674,137,565,063,668,260,745,915,579,166,201,478,036,655,574,411,100,955,
042,172,217,872,481,940,501,296,319,118,094,305,997,250,584,834,828,550,830,
579,069,266,480,604,596,118,651,175,492,685,813,406,417,625,761,971,821,624,
991,060,180,073,066,608,429,562,813,721,452,398,890,466,807,429,729,308,069,
981,733,596,060,166,678,892,688,194,653,230,677,332,256,881,194,610,826,792,
274,834,910,834,092,344,727,879,834,944,492,541,372,848,401,064,436,851,577,
501,160,601,249,045,455,823,528,030,695,212,543,734,999,406,161,057,069,726,
401,847,209,709,743,154,016,142,332,436,569,816,159,578,365,941,755,393,175,
860,549,344,538,185,783,603,257,411,410,547,994,001,780,588,074,961,434,857,
259,060,939,372,376,583,094,657,936,606,734,132,379,767,929,928,693,297,820,
153,426,110,366,686,869,109,994,452,141,055,831,074,159,955,752,872,366,444,
808,338,992,018,291,966,766,221,587,984,258,215,767,815,825,636,658,596,096,
040,493,008,201,936,267,523,536,507,013,084,814,970,161,568,551,899,968,608,
541,644,913,105,463,741,405,620,746,999,261,755,042,379,553,880,459,453,513,
317,523,202,458,188,404,344,054,321,682,059,135,153,893,331,682,402,352,402,
775,456,564,572,788,747,697,569,359,100,977,351,932,721,451,294,168,136,487,
497,684,268,933,237,725,189,933,676,253,634,778,012,871,355,475,230,236,821,
122,131,884,979,070,607,559,269,676,128,848,185,066,970,816,932,903,485,663,
541,128,965,631,300,745,918,567,936,865,627,689,429,262,544,924,492,450,791,
535,081,895,346,294,653,164,686,307,571,801,528,601,377,702,903,145,767,156,
292,686,260,083,358,894,208,770,892,008,340,677,034,840,819,311,974,950,620,
920,159,314,550,805,993,163,319,358,799,642,814,844,582,714,327,653,270,144,
166,359,414,446,277,323,216,699,669,643,207,124,674,151,180,515,140,095,281,
783,706,474,264,458,033,571,371,401,635,404,279,734,030,353,753,571,696,234,
471,903,052,711,360,739,278,592,063,858,567,108,233,788,510,662,601,682,201,
205,970,546,191,517,518,665,554,365,619,285,242,827,360,703,804,702,397,078,
020,968,640,585,603,059,915,614,611,783,760,056,074,599,641,491,813,388,381,
633,939,834,531,586,413,382,991,151,750,155,149,287,152,871,384,727,849,531,
451,090,285,204,659,228,032,425,337,624,351,530,094,340,410,309,173,367,350,
583,749,365,391,735,273,727,063,300,388,673,474,941,505,149,850,430,821,827,
944,948,706,048,188,111,584,123,095,883,684,492,757,946,516,962,200,076,114,
532,718,434,141,259,982,597,386,798,470,206,863,511,611,862,150,891,764,237,
314,446,072,067,838,748,945,703,674,359,909,952,735,890,472,442,671,207,201,
013,894,577,546,768,194,263,086,149,744,520,685,108,399,672,150,024,933,904,
888,665,694,661,809,239,868,036,954,609,551,383,782,243,089,825,490,970,857,
478,283,851,681,444,532,720,211,685,823,927,017,920,521,428,327,033,802,137,
486,514,838,847,801,804,465,768,721,451,485,977,689,292,882,109,776,526,382,
822,360,113,631,229,047,109,583,620,132,517,296,100,644,432,611,984,106,367,
992,428,751,059,248,555,596,540,532,280,633,047,614,426,944,255,196,993,409,
353,581,668,737,094,980,808,597,597,760,376,083,537,664,681,754,240,359,147,
392,893,559,862,688,000,314,556,546,932,303,904,942,554,198,952,318,244,065,
387,096,987,925,347,914,988,714,414,392,989,499,823,937,098,848,965,428,696,
541,398,164,076,781,955,621,728,873,542,962,880,461,415,875,678,890,564,640,
221,442,088,618,439,074,699,678,323,960,635,498,680,830,442,054,913,726,105,
132,273,163,683,024,453,975,456,317,547,427,492,142,254,838,285,942,772,817,
234,584,161,106,288,677,242,807,227,709,249,761,003,785,471,997,438,995,835,
575,925,203,232,577,430,290,583,319,127,351,547,269,119,620,837,388,837,383,
903,359,797,993,849,585,755,530,455,352,168,587,503,874,759,506,988,374,641,
699,189,256,755,835,767,121,063,848,784,455,858,836,979,790,914,853,724,490,
536,453,801,235,716,878,430,842,878,931,198,048,120,975,191,220,243,311,111,
430,631,077,239,126,909,780,701,740,025,577,101,721,319,111,440,859,188,067,
264,734,542,433,593,923,643,320,175,069,273,088,945,358,075,743,300,000,089,
222,948,470,688,990,015,113,498,753,256,167,569,120,655,793,608,703,093,410,
118,149,440,453,071,946,214,829,994,550,692,213,735,595,738,969,550,960,304,
881,129,958,292,197,570,455,766,715,712,273,751,675,584,983,850,844,388,119,
298,160,277,191,872,282,169,468,478,824,887,952,908,649,723,957,886,696,888,
949,476,957,148,721,571,261,148,181,162,378,074,206,394,155,057,360,375,915,
044,356,376,399,448,240,184,422,988,186,756,396,488,759,978,600,387,030,214,
753,685,555,741,806,925,295,238,822,616,013,724,660,498,119,881,414,044,517,
317,345,682,841,006,163,419,962,499,679,341,170,958,432,378,896,959,234,620,
467,000,620,260,638,648,111,863,128,750,361,683,068,626,943,905,938,398,887,
692,628,792,289,644,149,846,555,259,096,036,400,157,056,064,436,211,665,530,
903,814,005,693,213,950,970,593,887,630,664,552,435,785,840,406,860,795,583,
559,565,397,466,325,298,728,239,688,581,156,501,899,155,403,299,593,795,701,
645,920,281,222,073,351,205,685,227,411,831,745,535,786,466,803,467,611,838,
416,935,570,001,385,343,176,873,090,818,380,765,548,459,702,716,008,318,337,
816,763,002,983,157,528,779,941,693,247,129,438,737,766,576,413,907,995,674,
445,044,550,386,051,118,931,307,484,242,441,293,729,057,495,959,316,236,662,
428,443,902,100,176,961,140,217,209,182,822,898,417,966,438,262,477,654,625,
804,985,402,102,810,267,036,326,995,695,232,313,596,490,976,092,508,634,684,
831,368,517,886,251,101,352,083,098,521,349,948,381,945,728,278,305,600,647,
098,723,702,885,902,760,566,404,752,936,805,898,508,211,684,650,934,685,277,
483,066,767,137,162,969,059,658,904,794,217,385,295,259,632,115,948,860,312,
284,234,211,176,736,348,755,529,128,917,036,270,103,358,477,589,383,523,056,
001,606,830,821,431,971,870,134,714,098,750,421,615,502,856,292,441,976,558,
625,427,373,821,241,118,847,832,400,700,445,957,025,029,551,895,826,618,882,
440,188,406,341,107,274,770,736,350,209,350,688,194,036,274,601,962,048,340,
151,213,945,993,325,635,140,226,952,628,242,361,078,393,291,637,727,932,048,
623,151,623,639,587,228,660,105,988,970,933,159,657,801,936,495,699,925,081,
504,641,537,902,114,896,220,456,388,241,276,558,838,046,180,619,371,519,079,
135,706,351,760,357,350,109,197,220,326,332,427,691,876,017,522,139,641,453,
225,585,217,690,748,072,293,050,662,804,634,657,947,399,979,272,137,179,713,
850,367,739,990,216,293,922,391,859,632,794,617,671,840,504,883,881,894,857,
070,833,723,067,946,715,540,014,421,932,525,049,607,687,836,794,805,771,771,
694,621,054,442,012,223,880,564,551,327,379,755,113,276,594,155,906,849,625,
964,593,736,828,358,292,412,665,477,978,047,605,054,162,431,981,977,373,366,
735,342,597,878,182,163,020,404,192,702,046,260,190,019,141,479,256,073,148,
069,498,441,016,273,288,797,387,329,931,773,286,953,068,608,390,266,671,024,
692,587,430,783,686,342,574,733,010,203,218,771,818,631,252,084,497,774,939,
211,175,535,047,629,174,656,923,649,528,078,058,973,072,534,268,252,875,778,
125,752,287,543,630,897,688,149,643,346,864,777,405,980,864,159,195,170,665,
079,086,759,065,203,087,708,490,022,990,827,205,662,061,502,921,388,927,623,
053,653,013,806,891,139,753,837,612,939,854,746,841,966,188,146,942,825,443,
579,805,073,007,581,346,738,493,565,573,422,889,552,278,933,996,382,700,585,
895,984,459,537,249,237,926,824,068,779,241,033,729,892,299,934,631,866,711,
747,235,264,966,262,525,053,925,900,492,374,987,560,102,555,792,081,944,592,
925,388,560,606,385,923,731,991,334,967,851,751,631,286,435,961,068,641,701,
661,130,388,234,368,435,744,965,498,329,654,781,877,380,252,335,860,654,867,
024,047,712,828,566,388,188,566,720,156,851,518,130,897,253,636,945,080,613,
722,957,028,534,619,841,238,097,036,703,884,841,719,794,859,714,599,366,751,
314,546,273,250,671,709,838,356,342,025,710,328,935,482,208,356,828,102,768,
327,763,808,914,556,224,252,994,764,780,420,385,159,094,403,122,922,648,020,
709,123,646,422,486,735,740,678,074,995,681,681,191,289,297,322,636,168,077,
523,508,137,233,152,083,525,328,470,045,101,742,473,250,973,823,901,908,730,
809,408,678,560,745,346,924,329,058,098,703,035,425,057,975,052,748,368,561,
176,806,057,931,315,566,133,487,293,162,433,799,537,863,287,250,838,763,832,
879,671,039,259,137,043,300,495,105,203,984,611,338,632,236,690,263,309,117,
918,406,575,740,082,926,909,065,302,162,852,264,847,735,163,962,200,860,450,
264,785,270,018,575,563,902,071,928,395,981,802,176,909,293,038,941,449,361,
406,004,829,221,912,664,907,457,436,226,194,194,372,600,588,886,416,360,403,
808,720,889,612,367,228,249,824,948,046,690,734,746,529,438,917,064,301,253,
524,186,391,813,661,873,136,688,718,240,875,766,629,443,798,411,917,824,280,
229,920,266,199,872,197,131,947,175,160,488,500,135,286,674,964,759,686,871,
903,494,206,492,615,965,199,947,688,923,525,724,215,447,658,000,700,725,572,
720,719,707,657,452,613,324,540,088,011,643,918,009,314,426,475,980,824,705,
252,601,422,966,316,277,499,998,006,539,343,053,161,793,897,126,208,257,238,
082,239,179,084,256,953,205,334,985,425,850,242,636,240,701,652,926,414,885,
294,152,196,948,546,921,713,225,887,101,050,320,859,351,602,187,843,704,625,
276,754,543,275,807,876,743,252,191,363,940,149,437,270,125,339,594,008,824,
666,637,123,396,654,221,517,107,519,273,503,727,861,281,752,114,339,502,322,
597,111,789,148,964,711,884,842,460,543,113,951,326,306,705,493,048,258,856,
758,478,621,617,105,026,196,933,027,877,155,314,135,982,305,856,553,968,198,
103,374,162,876,647,587,769,828,864,726,060,613,489,102,630,112,426,502,750,
879,874,298,946,790,624,431,810,874,447,462,038,839,952,738,174,809,087,946,
850,685,019,940,557,044,282,547,969,181,833,384,655,618,011,056,681,601,461,
903,817,715,045,598,198,606,284,962,686,228,760,443,616,644,500,472,076,561,
906,670,999,582,248,516,176,669,620,751,403,462,996,519,319,664,324,060,197,
151,484,265,377,158,899,816,123,641,175,282,056,341,544,515,562,730,760,143,
897,343,292,778,853,535,928,743,391,449,782,453,226,702,905,270,295,019,231,
121,650,896,016,682,354,024,479,067,730,496,022,964,196,821,444,485,072,486,
950,568,223,647,458,485,156,631,350,597,496,377,179,439,878,742,388,112,441,
967,222,164,167,015,128,552,407,963,980,827,262,824,988,990,090,095,906,692,
715,370,890,355,692,165,980,761,904,978,368,363,639,649,861,463,304,028,873,
911,808,689,708,432,130,545,420,737,863,397,307,713,961,228,958,387,042,303,
517,221,782,109,407,401,109,288,438,059,844,383,130,797,389,218,438,525,260,
296,554,950,740,418,639,624,338,633,051,727,747,102,340,443,143,441,608,154,
373,910,811,050,919,538,558,435,390,750,194,048,229,029,113,485,067,409,043,
974,389,735,859,813,737,784,581,824,546,301,161,223,477,165,816,866,008,111,
904,202,369,051,957,379,621,268,551,832,597,640,863,856,613,290,031,912,738,
163,754,415,673,051,099,496,520,269,623,592,862,477,149,991,503,366,343,216,
614,152,826,016,118,130,705,715,987,099,869,012,020,036,183,985,666,113,197,
273,726,579,059,004,301,695,926,144,395,107,719,255,544,143,664,632,663,916,
540,432,104,728,997,486,788,799,714,447,805,413,522,339,140,410,031,877,225,
891,007,216,578,767,246,243,030,182,962,927,785,288,628,264,022,531,554,986,
741,123,586,357,541,719,404,413,782,365,866,737,770,906,182,437,628,243,768,
193,195,069,726,890,064,720,437,586,561,363,122,283,893,352,062,419,095,401,
684,113,023,642,039,528,233,092,815,342,961,623,342,111,399,165,453,827,323,
983,995,095,688,756,430,356,218,042,354,353,955,299,006,629,124,175,241,041,
529,446,480,410,795,754,611,659,552,981,246,140,486,403,923,332,873,017,814,
111,752,427,801,134,954,938,031,875,037,669,028,108,330,056,996,270,835,155,
921,947,406,771,405,098,171,986,989,891,767,006,575,991,946,794,708,469,463,
763,868,871,172,421,601,912,225,184,712,379,978,577,218,371,422,280,667,286,
593,053,642,340,938,833,257,552,804,675,680,244,372,702,809,675,227,897,883,
010,859,425,292,434,217,458,623,465,852,643,135,994,502,099,634,580,329,693,
067,113,161,968,058,746,600,884,391,305,544,860,446,302,218,285,668,542,916,
934,727,119,180,805,552,597,875,566,339,554,596,583,097,904,066,088,876,377,
235,250,379,948,085,761,867,129,538,338,494,125,500,080,333,386,692,262,778,
535,104,217,397,722,923,569,396,345,258,426,494,370,059,521,220,534,741,801,
386,490,534,258,503,963,076,043,097,480,307,424,819,943,552,202,794,253,407,
364,034,270,409,435,223,636,332,353,176,370,198,638,571,359,826,007,175,083,
423,701,819,705,720,066,195,471,177,443,624,516,036,920,220,440,598,623,011,
994,973,668,122,574,824,364,474,719,707,065,107,677,429,418,478,248,908,283,
736,553,687,267,344,821,003,233,647,624,221,369,184,829,559,265,048,227,673,
087,055,857,367,805,769,386,988,369,214,649,976,063,389,393,185,864,597,616,
322,888,299,344,550,483,078,769,606,613,400,365,895,919,343,943,708,948,159,
580,562,879,357,170,386,668,585,447,389,113,036,398,628,434,782,941,849,013,
868,491,032,636,811,013,333,852,913,658,824,373,474,232,803,318,741,401,563,
447,997,767,366,641,431,697,835,422,080,860,238,031,423,964,725,578,543,479,
955,798,781,711,093,662,308,757,222,623,816,508,691,557,690,404,376,607,249,
147,778,714,939,530,876,555,724,499,623,270,147,524,183,414,460,009,764,003,
834,668,646,044,577,877,841,173,356,323,268,036,709,657,166,866,898,353,790,
768,415,905,863,559,811,146,440,341,451,912,364,491,197,273,203,046,579,880,
254,727,677,853,093,346,394,950,223,702,703,110,982,607,054,753,247,812,772,
717,891,490,431,301,217,297,880,363,094,498,645,927,901,385,243,937,998,124,
220,263,761,986,518,127,934,265,921,175,019,922,403,604,786,081,497,440,065,
885,997,597,579,805,832,041,928,129,132,979,388,534,929,349,568,503,751,442,
164,311,780,420,242,148,089,204,479,701,841,035,164,851,305,395,353,136,373,
039,407,648,769,819,642,306,039,021,071,870,846,707,752,152,780,289,448,629,
852,823,066,006,454,378,191,628,249,401,444,879,926,063,610,942,377,585,619,
218,513,320,484,283,947,574,659,356,975,035,151,970,127,179,304,803,541,574,
082,123,742,840,361,538,575,137,426,929,558,936,908,835,316,356,401,758,439,
478,190,316,220,644,625,622,172,901,891,409,774,016,929,783,814,186,939,028,
054,640,883,295,383,594,966,211,825,416,899,154,206,043,602,491,191,368,311,
961,035,731,222,242,205,335,971,398,519,028,191,125,640,268,755,319,136,972,
634,314,779,822,080,334,889,533,974,117,817,709,473,174,802,400,208,910,171,
693,755,972,368,895,505,156,527,972,680,079,043,206,653,199,074,104,289,599,
775,127,527,446,129,157,066,068,638,957,777,522,984,980,593,040,164,081,934,
928,718,155,104,798,163,562,176,700,969,763,072,695,829,131,491,823,399,608,
151,644,513,885,211,579,668,804,297,720,289,609,307,610,330,000,792,165,869,
729,636,603,270,827,951,892,425,215,760,148,676,645,788,745,706,613,854,805,
815,561,618,328,041,246,976,965,456,838,449,976,890,429,184,659,764,418,841,
081,387,657,376,115,413,189,307,238,250,967,621,927,748,776,131,672,286,482,
021,812,843,319,745,609,077,896,380,311,775,513,588,680,001,078,438,510,800,
957,788,677,695,643,086,537,169,168,282,853,769,115,983,687,684,122,582,702,
225,288,664,422,467,915,404,007,060,599,689,776,178,407,496,984,435,328,161,
717,044,510,429,947,605,131,397,747,107,112,934,891,150,899,676,630,306,756,
208,911,458,654,187,592,806,900,620,112,479,355,213,725,829,244,400,395,292,
873,449,408,720,448,181,208,596,230,181,406,952,793,835,438,036,656,611,907,
077,419,763,654,215,016,258,096,056,748,844,312,686,274,406,053,110,097,321,
229,978,958,277,451,748,263,548,470,017,529,940,889,950,434,428,520,926,027,
344,609,865,127,725,153,897,975,011,999,967,286,003,119,086,515,929,381,065,
772,921,667,421,730,680,429,266,372,744,579,781,227,903,124,679,094,698,364,
169,581,396,904,233,191,579,332,683,866,104,171,415,275,028,613,399,367,721,
433,487,469,362,006,728,677,927,430,980,015,472,525,871,537,497,566,452,346,
766,641,588,259,517,827,390,250,679,781,046,650,097,449,635,408,650,775,541,
725,556,799,497,286,227,879,786,854,938,629,480,002,885,918,053,641,354,682,
031,591,890,977,024,736,033,247,352,870,175,984,229,656,487,420,529,897,195,
416,420,594,363,464,853,475,673,251,898,856,360,833,404,078,195,950,787,586,
017,316,174,311,787,400,028,078,057,568,782,104,161,672,967,189,146,795,957,
328,899,335,205,229,760,682,947,271,302,240,788,971,018,911,169,932,763,341,
258,769,627,210,135,509,185,564,744,873,572,038,209,673,636,079,904,570,225,
093,797,326,850,093,061,145,564,236,640,267,773,066,032,017,355,137,642,914,
835,566,767,162,531,769,470,658,538,826,025,983,959,197,329,179,180,635,361,
487,126,754,053,161,539,053,155,471,394,713,934,011,649,705,243,995,671,314,
515,491,135,556,863,867,515,323,352,516,885,577,499,226,975,862,578,447,586,
816,347,744,850,706,149,986,890,950,406,850,153,642,108,380,795,970,675,102,
656,657,650,154,755,653,425,169,551,543,117,202,842,702,697,424,096,244,996,
831,549,677,255,587,261,246,831,282,907,117,633,063,784,280,671,703,235,403,
072,347,337,111,674,206,953,784,069,015,236,725,444,025,050,135,194,451,612,
435,920,997,570,809,102,633,503,045,580,854,869,754,668,022,871,357,149,608,
160,222,743,288,072,441,249,267,735,791,237,855,690,430,343,582,597,464,303,
334,706,763,919,168,504,218,405,154,528,174,472,026,703,063,748,371,012,672,
722,356,146,225,773,476,257,803,195,910,524,642,766,502,065,809,416,107,222,
357,987,059,364,330,190,593,075,956,828,092,076,756,518,336,603,633,725,572,
606,353,570,172,195,751,793,749,196,912,893,019,162,213,082,296,936,134,957,
382,479,586,335,267,312,237,685,758,125,322,691,605,305,834,668,546,325,148,
014,041,759,667,168,403,491,180,083,744,368,223,826,924,143,905,735,727,883,
445,718,365,712,778,526,996,069,685,967,264,976,915,716,260,662,354,046,206,
223,895,926,334,468,450,070,529,643,294,258,282,996,926,429,228,543,795,922,
325,990,604,420,063,154,793,539,808,914,406,152,565,044,055,487,974,024,815,
470,615,653,457,320,694,875,012,489,249,168,409,919,295,647,303,307,412,924,
020,405,540,930,649,469,782,363,019,305,035,772,537,102,482,373,682,479,902,
511,792,725,266,398,865,772,531,745,922,882,687,030,397,028,689,465,992,775,
837,880,667,731,077,528,766,970,206,054,615,652,905,799,430,886,912,979,135,
817,891,358,299,757,826,856,801,427,783,738,395,136,081,568,137,336,954,309,
408,502,928,841,617,326,065,480,118,030,736,036,332,415,466,273,143,606,869,
229,737,210,143,148,292,074,466,557,860,853,257,326,118,523,234,397,586,452,
126,038,728,239,888,862,571,052,042,152,498,279,299,970,245,251,558,347,824,
793,411,711,334,460,994,206,625,064,728,842,246,645,826,244,609,554,992,606,
765,248,248,324,808,124,505,131,693,404,483,311,769,815,620,883,184,756,363,
021,152,298,994,613,225,481,514,479,061,727,008,355,926,841,187,010,594,183,
117,296,656,947,175,633,652,336,487,917,926,066,746,206,876,237,544,666,362,
732,802,133,673,190,736,816,935,940,736,724,654,307,768,347,286,488,752,963,
011,727,555,998,438,244,086,770,722,865,007,774,303,720,739,409,825,691,955,
571,583,110,626,838,544,948,586,767,075,262,224,019,151,558,064,738,682,989,
932,412,573,571,058,399,619,177,783,879,276,775,328,930,945,003,346,751,321,
786,038,879,188,622,236,338,206,426,745,966,356,510,853,315,004,220,831,094,
213,415,649,485,597,275,032,090,957,014,299,915,694,615,424,376,875,309,833,
961,122,472,705,325,686,661,036,143,589,925,680,184,860,818,420,993,543,487,
994,577,843,128,747,914,046,185,036,554,024,918,977,677,087,025,207,901,816,
960,988,448,420,347,889,419,301,651,944,139,746,018,845,853,022,346,019,801,
371,029,867,625,058,104,240,913,896,081,451,992,938,234,640,780,584,882,259,
953,600,027,175,128,214,464,878,427,889,946,194,985,429,657,237,760,474,389,
201,250,853,521,958,258,060,759,318,976,736,514,156,852,591,348,854,950,809,
812,362,332,851,179,754,739,446,128,709,372,259,315,856,579,490,068,386,754,
453,881,160,256,588,836,769,076,522,583,092,264,542,556,461,254,811,398,058,
180,413,885,198,548,870,841,908,177,706,304,335,015,171,408,713,992,500,163,
372,727,908,485,492,216,979,278,284,438,530,359,694,884,691,758,972,361,807,
979,496,772,759,336,224,490,250,987,125,558,867,465,986,396,692,196,075,459,
449,633,530,202,944,157,927,386,602,462,683,481,881,116,182,990,845,885,983,
339,602,334,267,033,617,180,624,003,485,493,603,023,886,884,079,029,872,446,
468,919,710,945,577,327,362,288,297,755,196,844,747,289,012,413,315,919,570,
773,976,913,792,092,775,470,866,787,685,508,028,594,437,942,474,961,828,495,
424,056,194,366,750,563,457,738,162,854,374,732,222,497,102,240,764,546,470,
981,070,177,353,009,532,851,141,832,809,384,850,646,867,940,564,046,988,165,
176,912,067,274,740,084,329,011,634,697,825,281,437,605,038,048,810,648,144,
454,329,538,596,966,868,103,676,324,399,738,048,588,082,131,035,961,258,636,
799,910,224,980,571,690,041,245,691,740,157,847,506,263,655,559,018,370,421,
664,093,536,825,806,540,305,607,410,427,613,994,199,084,625,337,203,092,574,
184,551,402,409,998,717,945,962,886,651,042,418,413,077,172,015,138,737,861,
067,087,912,742,023,624,248,165,591,212,570,756,821,383,024,724,377,628,526,
968,139,185,320,293,734,765,962,739,387,073,405,421,305,393,891,472,015,561,
940,067,020,050,245,856,758,066,919,444,045,855,989,050,731,753,021,972,492,
574,993,422,085,630,217,559,506,334,316,884,512,974,709,226,876,553,242,764,
062,412,515,062,898,272,145,643,783,089,447,125,690,483,613,988,213,656,226,
412,626,363,136,906,479,426,938,453,905,049,600,165,408,130,037,431,944,085,
066,875,443,004,155,609,847,765,934,743,377,812,262,848,677,940,612,422,259,
362,447,684,800,817,301,779,413,433,472,033,926,306,692,314,719,998,181,483,
573,011,087,763,411,744,909,457,887,269,298,542,106,570,876,515,698,171,606,
957,867,049,894,520,413,730,969,935,135,870,100,733,448,038,773,950,813,824,
132,548,648,949,889,097,845,774,880,070,885,787,527,667,748,783,102,390,353,
109,972,972,127,250,889,281,333,390,800,084,502,497,911,062,726,700,094,050,
976,194,044,259,320,703,444,812,606,005,455,989,576,593,641,554,043,095,006,
532,622,188,647,287,833,962,379,917,070,401,573,957,343,979,182,413,252,680,
006,876,984,020,228,096,678,288,691,773,369,344,071,236,610,410,496,824,903,
739,224,593,574,812,411,227,330,584,567,980,150,078,165,018,564,262,846,658,
214,540,574,449,922,214,007,916,794,683,249,431,169,454,590,615,449,665,128,
519,533,890,074,448,111,437,107,230,464,758,630,244,887,139,933,455,986,325,
379,434,778,933,707,919,410,221,624,899,278,932,283,132,950,103,512,033,633,
988,967,905,193,357,821,156,525,024,527,819,008,324,311,421,893,996,826,679,
927,358,779,866,031,151,697,004,077,571,855,378,522,598,714,291,559,922,115,
773,693,777,780,736,718,972,231,594,614,028,558,930,641,469,856,851,466,906,
234,369,409,371,137,540,890,261,126,858,235,587,639,507,672,027,305,942,920,
201,345,788,452,009,745,295,619,345,565,256,184,156,985,539,458,885,879,216,
012,421,772,353,465,975,610,647,982,567,487,170,467,576,190,050,960,198,798,
707,304,272,066,607,890,994,651,541,458,134,851,259,221,333,780,275,448,758,
478,680,190,387,491,616,832,313,044,992,917,933,879,721,556,926,219,478,423,
600,488,114,543,200,363,100,926,453,761,587,409,925,181,193,362,204,888,934,
689,761,951,141,919,388,811,858,378,483,168,694,357,509,249,623,890,492,479,
559,250,528,753,824,987,479,705,679,710,648,053,457,539,542,219,346,104,288,
751,307,291,084,393,194,977,633,000,118,432,474,048,207,525,147,802,963,014,
136,050,269,232,619,375,134,138,598,471,393,856,358,627,486,466,347,695,388,
725,947,366,257,072,000,047,722,849,338,417,401,961,832,455,589,642,851,681,
796,056,746,651,023,068,668,633,472,614,961,011,230,946,089,726,162,430,538,
915,498,483,933,846,626,691,125,147,799,912,189,053,235,239,312,919,377,277,
768,060,594,947,779,240,544,969,766,683,933,501,394,043,922,823,470,681,091,
199,966,430,781,279,072,552,465,315,495,385,648,104,719,614,488,084,886,499,
359,546,379,292,830,800,513,235,656,317,222,786,189,330,310,417,583,202,224,
629,249,601,294,258,989,550,736,957,601,722,362,042,933,137,312,777,747,062,
686,573,553,265,695,203,409,462,677,547,535,150,764,805,743,603,609,940,048,
674,070,321,470,025,533,764,384,480,209,036,291,638,630,337,847,169,689,521,
702,745,246,196,848,448,233,177,090,684,973,137,329,439,904,550,159,690,755,
566,663,456,453,936,603,974,161,639,186,415,296,776,882,575,726,523,259,371,
191,130,662,355,608,400,143,191,233,410,295,946,096,489,947,379,931,099,942,
506,993,704,696,013,041,822,622,491,029,871,252,608,588,815,901,815,165,135,
491,133,344,316,375,188,279,205,272,483,041,662,946,732,769,780,426,987,127,
683,938,365,904,974,526,427,802,446,753,112,510,277,268,860,617,319,684,053,
609,132,502,955,563,379,925,316,933,564,528,249,520,994,251,250,151,910,659,
623,969,982,298,880,952,448,883,938,751,658,733,226,628,258,696,880,484,856,
014,658,550,271,830,870,863,948,116,126,947,246,166,982,652,358,908,240,616,
727,093,161,866,367,951,282,881,430,366,281,607,187,559,084,182,879,411,343,
889,491,800,901,455,415,439,559,195,638,489,692,906,380,675,840,711,179,074,
405,528,866,780,901,744,847,375,266,999,307,819,302,328,495,269,992,722,745,
010,186,395,909,100,361,885,650,334,356,434,305,937,181,490,168,766,556,325,
583,186,042,507,472,823,411,858,947,554,912,317,517,248,197,593,535,151,096,
105,267,750,652,965,310,546,639,071,449,763,320,554,211,680,303,489,259,327,
388,732,492,395,820,478,856,112,893,536,275,170,347,497,491,753,266,977,045,
193,930,953,986,428,734,129,677,280,875,697,387,792,787,203,676,683,160,992,
819,925,394,306,074,162,471,889,397,297,146,908,383,793,280,190,745,891,459,
086,775,849,084,242,068,091,197,903,614,810,798,740,526,379,551,195,651,575,
749,047,721,164,530,562,912,920,305,869,816,764,834,039,595,909,639,859,747,
526,990,080,918,202,991,097,841,918,408,524,049,896,447,384,349,427,549,289,
757,948,708,811,686,385,432,558,960,624,864,666,511,188,546,173,165,502,357,
304,980,650,616,695,656,861,214,257,159,124,142,954,142,148,446,931,090,992,
875,711,206,767,346,165,225,686,617,043,565,891,601,741,695,368,337,286,915,
953,697,592,037,641,069,774,558,344,983,923,241,900,915,280,497,693,949,410,
983,315,893,290,130,259,517,278,081,673,964,007,483,205,234,059,814,700,917,
958,092,232,488,019,758,792,157,195,533,278,133,537,004,328,893,953,563,022,
261,068,999,864,983,313,433,624,458,547,781,079,621,725,890,395,460,532,822,
165,694,508,911,660,850,687,182,659,777,469,537,814,617,099,515,429,086,237,
108,452,595,889,948,189,270,733,089,528,072,869,653,488,912,357,472,351,274,
514,148,979,280,914,630,586,158,636,183,012,725,426,901,375,639,974,466,818,
079,399,679,987,998,094,862,557,108,572,675,319,934,667,064,462,759,801,814,
084,924,691,598,186,762,295,704,548,826,502,014,777,176,795,793,839,748,031,
591,633,086,812,126,757,633,747,529,918,079,419,317,269,932,379,367,235,588,
776,876,005,289,681,831,534,108,183,352,807,645,856,094,386,642,023,165,303,
641,033,463,102,305,189,666,608,456,747,162,575,624,312,561,083,292,003,144,
935,020,001,744,133,636,266,379,770,042,979,237,109,514,529,181,053,365,312,
758,907,368,182,175,089,765,264,858,131,548,608,327,546,235,647,733,353,745,
812,428,410,147,775,382,497,031,843,973,264,474,377,930,309,942,447,988,845,
120,357,066,495,340,718,385,913,246,475,715,767,092,477,455,804,599,928,222,
394,206,810,062,221,579,485,638,961,995,896,380,310,789,763,452,668,122,819,
981,298,100,342,783,071,855,888,046,325,528,053,563,100,258,967,959,627,587,
613,240,978,964,935,117,073,552,581,410,310,602,216,111,084,702,576,248,654,
706,943,215,194,260,200,883,686,177,182,535,732,209,788,003,793,514,538,359,
689,478,226,922,594,148,958,405,796,845,925,937,600,670,831,118,407,048,986,
150,108,559,817,377,675,431,124,731,831,555,390,472,158,170,764,746,955,391,
733,224,874,510,396,719,137,796,577,545,507,027,037,894,284,515,143,698,862,
840,589,714,450,229,216,866,124,149,160,131,974,259,954,475,957,112,194,235,
540,386,267,812,598,410,787,788,866,957,827,918,301,325,575,531,538,990,249,
413,594,609,531,775,737,836,846,972,280,543,638,977,084,171,544,444,148,166,
531,839,835,861,911,927,741,339,687,490,185,632,697,288,597,039,296,080,462,
524,931,825,795,217,372,136,796,661,014,429,793,814,325,639,322,227,097,669,
065,326,470,955,008,522,493,350,763,834,296,344,935,610,763,942,302,847,630,
772,058,777,590,635,609,237,412,332,813,447,324,435,414,747,127,869,196,967,
680,700,205,782,766,655,680,369,112,098,545,746,944,956,755,525,691,804,940,
725,580,076,024,282,752,293,757,078,650,170,234,847,459,833,599,717,113,050,
714,429,845,933,781,714,395,413,002,888,711,223,249,893,923,075,261,569,599,
891,944,743,778,226,332,980,159,844,976,018,357,816,271,737,810,683,342,548,
843,443,880,997,803,889,165,825,228,323,965,415,958,072,705,080,724,753,457,
247,683,101,850,355,236,590,516,072,056,708,689,879,448,142,727,909,518,937,
996,856,902,975,981,952,966,638,206,980,232,415,744,820,576,540,808,479,730,
891,561,370,869,297,348,144,818,313,296,549,226,831,843,256,223,615,490,624,
403,616,670,928,657,995,234,212,580,529,049,750,020,570,129,604,833,381,098,
686,789,558,395,945,910,771,937,842,330,932,927,337,610,528,357,577,585,214,
398,394,334,347,541,051,847,176,865,990,013,542,375,030,558,265,846,666,749,
764,887,963,564,995,846,332,974,571,607,115,790,545,703,144,112,714,202,107,
676,538,643,294,126,217,796,416,346,212,781,528,749,029,163,985,151,436,367,
811,977,403,410,772,680,986,974,531,032,619,458,038,777,488,276,852,025,525,
155,483,770,308,562,914,046,539,702,632,795,904,746,212,438,353,612,231,122,
862,048,509,563,563,266,998,148,796,720,210,669,595,583,734,375,175,992,572,
967,494,607,022,067,376,764,574,719,797,380,217,155,204,883,466,593,650,891,
352,430,760,022,114,019,041,431,231,376,814,770,062,777,629,462,625,288,864,
188,378,857,274,277,358,844,321,012,273,616,208,959,010,870,473,157,136,818,
628,307,090,919,286,251,937,924,809,849,897,313,193,848,077,318,395,704,885,
103,654,542,386,972,016,507,126,660,157,162,455,791,687,028,568,107,778,010,
432,809,195,201,930,051,966,728,986,073,995,223,340,565,586,644,850,198,747,
804,397,801,632,233,079,017,334,818,079,824,809,053,404,144,486,569,551,306,
414,082,027,851,471,644,886,437,669,370,438,039,365,617,348,320,731,230,181,
631,135,542,230,188,115,612,949,016,205,868,059,949,897,499,430,004,001,008,
805,990,205,447,146,512,418,971,479,835,000,136,847,227,811,884,477,455,014,
926,822,851,566,925,665,645,807,774,880,786,647,470,123,002,982,093,869,274,
211,043,401,449,601,312,694,972,522,492,344,387,887,193,935,961,561,432,332,
442,154,629,889,161,165,623,268,769,467,836,877,267,107,965,942,511,373,043,
369,710,953,033,099,445,310,181,236,718,577,851,737,057,451,747,284,430,908,
534,995,774,359,969,300,709,347,188,777,080,965,325,280,340,529,302,937,561,
130,240,239,900,310,959,813,484,309,720,230,109,301,929,096,807,404,581,816,
497,356,508,083,883,119,895,730,031,645,295,952,723,433,687,814,458,220,617,
312,926,461,179,866,190,578,502,636,635,980,982,814,474,511,918,406,556,186,
054,093,688,889,860,201,870,065,350,014,752,761,000,081,938,086,090,425,558,
254,718,356,668,396,162,491,119,352,244,918,683,254,023,314,753,763,052,372,
130,078,483,657,107,439,761,898,330,600,248,024,045,055,466,422,466,812,846,
654,987,611,139,220,370,814,246,671,536,190,703,321,045,463,520,881,090,147,
712,735,434,450,597,150,676,893,690,086,928,916,145,418,988,192,686,861,570,
605,247,854,835,038,090,334,962,945,093,878,957,004,640,162,307,298,238,657,
693,125,873,505,262,668,623,434,664,300,751,049,743,742,030,154,315,907,735,
715,287,267,169,452,085,390,858,691,402,540,129,985,181,478,391,706,271,558,
358,343,293,991,863,697,299,115,770,221,015,922,592,644,591,934,789,759,407,
708,979,172,302,992,679,884,584,274,207,579,843,558,229,346,121,033,982,164,
687,441,212,267,072,302,663,574,889,460,973,865,295,284,831,973,729,798,548,
583,436,158,091,677,029,443,242,292,801,072,086,011,625,582,731,977,499,796,
992,102,700,570,375,075,643,135,843,468,806,069,776,580,155,428,807,098,335,
429,865,001,193,998,277,301,864,200,038,131,739,802,359,310,628,490,146,159,
052,638,277,877,539,497,711,891,130,658,135,333,695,612,420,764,812,294,502,
377,822,902,431,401,847,297,043,406,085,331,259,995,619,110,301,134,499,586,
019,413,769,898,024,045,031,564,343,168,772,230,862,556,035,117,393,773,256,
157,288,395,577,999,695,679,521,852,561,525,154,840,087,199,401,393,920,854,
335,409,861,716,006,641,259,402,303,089,723,167,070,802,382,734,236,630,491,
763,417,518,929,112,133,460,842,708,248,526,910,215,022,569,893,244,171,452,
244,826,213,206,301,983,401,302,680,199,828,929,231,443,797,321,535,183,655,
623,547,264,342,494,638,613,455,834,134,516,016,859,460,576,604,679,428,855,
742,787,505,009,836,286,097,586,237,909,074,725,231,089,823,300,049,177,541,
362,431,355,270,063,372,220,514,937,538,581,088,850,073,999,623,362,919,885,
035,126,200,201,583,860,413,036,912,445,284,329,314,822,218,283,656,901,847,
266,141,530,600,877,170,087,224,709,984,778,155,100,449,262,412,715,698,649,
360,670,329,507,060,290,672,556,022,709,766,612,608,787,886,838,874,592,501,
049,633,370,392,285,733,860,412,575,338,771,775,667,427,990,401,795,031,856,
263,917,580,236,180,541,162,071,154,568,616,701,004,947,119,040,321,894,870,
779,444,999,450,595,409,511,658,439,700,473,495,023,417,758,204,515,390,751,
226,736,037,938,413,752,330,727,179,672,929,703,553,294,249,655,158,144,342,
358,365,716,514,199,659,830,297,044,098,107,664,894,792,656,127,000,051,453,
350,128,083,710,321,512,563,174,227,150,020,520,797,589,412,754,548,954,071,
165,268,751,882,922,100,225,212,041,293,544,981,319,459,113,936,249,812,044,
271,543,853,020,870,480,464,327,506,422,419,206,430,627,637,777,031,222,474,
232,224,472,136,361,864,372,965,068,737,630,529,338,087,639,946,310,680,140,
843,162,549,941,861,480,323,156,862,519,631,636,137,025,995,517,936,316,395,
509,740,097,461,671,805,840,344,276,852,660,541,542,559,161,508,558,627,137,
137,575,655,566,808,671,817,758,451,733,871,957,673,760,507,121,813,060,514,
250,159,532,325,438,082,957,399,133,494,136,241,819,776,682,315,188,325,713,
946,482,284,744,936,948,083,088,001,295,569,331,576,540,429,165,038,232,217,
373,994,181,680,760,077,137,617,851,460,311,541,580,381,646,384,035,510,368,
439,750,471,821,627,926,322,256,782,496,719,970,683,953,606,603,745,309,854,
583,651,129,616,500,046,844,667,641,405,148,613,169,602,841,995,744,984,990,
701,705,322,392,674,858,286,359,639,785,814,456,926,632,139,430,167,831,275,
575,008,325,923,722,574,235,254,481,302,370,239,321,492,660,901,492,094,385,
553,346,395,108,965,335,786,767,402,111,024,151,130,480,843,900,948,368,843,
896,797,974,948,409,490,815,697,449,813,342,582,616,965,310,969,496,170,645,
456,571,306,868,692,001,150,569,975,190,133,233,375,059,309,034,390,959,980,
839,486,241,222,308,133,582,374,584,690,722,530,507,858,372,501,490,374,538,
711,148,670,442,268,619,022,887,379,737,878,054,818,825,698,892,875,417,542,
682,766,653,658,704,865,645,743,707,788,240,356,144,981,183,752,824,726,617,
034,313,796,749,838,081,528,753,766,887,344,608,110,546,652,703,262,520,443,
739,878,516,166,525,318,125,771,088,824,512,897,890,554,283,248,950,218,154,
765,817,358,810,312,193,292,595,121,731,687,573,010,029,157,398,110,956,203,
631,299,774,502,858,746,455,324,144,033,809,936,052,686,499,900,742,151,680,
218,757,874,238,308,899,688,713,269,153,041,753,838,610,456,419,678,939,514,
112,603,746,183,257,388,362,273,722,120,558,748,632,692,328,580,010,765,258,
855,509,390,794,288,455,021,041,800,953,334,275,113,681,015,357,439,543,813,
964,282,813,429,648,452,453,349,549,092,354,137,478,504,387,688,865,952,900,
852,509,059,109,557,406,446,341,439,819,920,360,522,730,288,056,498,468,990,
503,681,713,343,618,968,437,302,492,031,097,987,164,081,020,915,321,632,275,
408,569,700,359,369,308,925,575,428,803,538,896,234,282,238,267,953,202,270,
712,076,720,460,865,268,697,012,105,583,068,351,543,485,228,714,189,205,599,
606,859,949,567,608,572,104,436,648,120,477,629,486,962,544,165,388,421,111,
805,921,490,042,763,016,954,242,953,826,948,863,325,661,237,305,772,874,485,
487,512,972,953,997,613,964,700,702,706,942,020,641,718,917,603,928,600,772,
732,770,828,811,705,852,791,842,746,658,331,986,510,736,596,553,658,026,037,
907,110,255,273,986,810,733,089,203,836,541,950,628,029,034,476,249,537,959,
470,971,122,246,254,977,869,366,118,444,202,466,849,577,828,512,555,424,350,
945,401,193,520,474,986,899,766,763,602,453,990,942,604,931,965,385,924,379,
465,511,090,408,646,926,342,309,697,280,158,958,816,397,325,307,022,506,167,
667,563,645,645,527,173,368,768,530,016,004,564,558,623,940,169,719,186,799,
204,282,364,514,547,629,910,100,797,121,184,563,953,201,017,464,159,185,657,
581,402,831,328,814,983,609,118,928,779,476,795,175,007,776,954,771,990,322,
057,456,142,542,085,665,146,907,395,763,149,321,453,068,673,135,462,638,958,
188,579,308,302,706,069,033,949,688,278,978,711,351,761,281,999,227,154,949,
627,073,079,987,118,120,251,782,024,582,474,067,026,915,366,844,674,701,594,
919,999,197,047,454,624,257,065,352,613,841,260,061,930,691,886,553,144,692,
501,369,622,116,224,771,636,324,322,273,672,577,479,198,188,673,923,495,009,
384,764,323,978,933,386,873,765,666,612,939,585,667,879,798,526,677,703,799,
257,393,296,285,752,708,905,293,599,880,533,005,452,119,288,357,878,665,357,
978,508,055,858,999,286,429,357,750,711,569,731,829,155,342,295,720,034,408,
994,102,680,969,360,979,123,119,903,660,396,892,174,146,346,561,843,034,813,
422,586,046,732,370,261,604,555,462,759,704,179,312,975,742,196,968,140,583,
483,607,048,179,115,062,000,088,184,791,850,613,161,991,462,087,232,050,212,
471,543,522,318,029,381,349,173,258,750,772,801,167,251,397,174,953,734,459,
823,306,845,912,850,599,832,290,396,254,698,379,064,078,179,127,351,288,340,
019,581,126,141,047,424,699,632,165,090,357,032,852,261,202,795,048,024,355,
732,827,141,914,874,552,125,071,626,072,095,904,527,335,718,933,786,318,875,
329,695,853,197,795,553,146,307,667,774,328,471,212,434,206,672,706,149,385,
443,807,932,273,754,793,454,354,242,437,617,013,711,250,745,918,328,165,099,
430,886,614,859,303,470,788,125,031,531,865,430,184,223,177,832,147,203,410,
969,017,047,898,615,027,615,352,316,395,110,645,907,308,112,559,703,736,953,
681,649,305,141,442,404,004,129,493,709,162,096,638,225,995,013,039,996,375,
699,536,610,518,556,123,390,582,694,250,553,439,118,827,413,635,546,264,721,
528,143,726,003,742,908,485,008,327,443,114,182,015,846,136,232,587,987,132,
173,439,393,518,342,890,934,554,170,346,840,321,399,473,792,554,535,434,808,
884,881,539,276,478,487,023,857,912,090,387,958,346,835,691,440,753,234,426,
550,392,939,113,822,851,077,182,406,437,531,180,835,038,632,002,487,094,820,
704,281,453,981,562,826,301,610,568,565,930,138,558,415,577,091,774,241,135,
451,824,782,018,823,116,274,895,269,535,624,354,656,631,472,089,508,022,128,
228,364,995,371,368,036,820,971,753,679,316,326,232,411,956,139,998,570,800,
903,197,171,432,042,551,782,443,326,103,465,966,858,156,390,278,007,227,399,
319,157,976,127,398,501,474,511,257,622,016,041,463,888,601,311,997,445,615,
698,325,158,611,999,671,341,967,647,342,745,051,414,007,276,650,182,298,277,
577,207,665,604,622,572,087,098,686,844,556,309,787,108,269,996,218,789,597,
465,441,856,573,710,168,538,692,610,689,248,983,260,945,657,548,494,944,260,
330,860,994,301,428,797,544,534,411,191,827,702,729,287,671,086,832,838,677,
078,748,218,462,640,912,281,533,376,189,250,898,478,647,466,125,682,139,616,
929,209,981,015,355,961,581,644,525,709,588,423,420,436,144,960,963,587,567,
984,131,434,659,726,467,787,181,639,192,476,992,367,059,730,781,402,178,568,
894,788,339,223,861,342,670,610,174,453,696,266,327,235,501,907,993,524,507,
658,785,029,251,577,936,726,825,499,805,823,159,713,670,186,500,843,552,272,
858,462,631,384,449,466,412,734,900,400,398,356,424,745,996,206,680,479,126,
148,234,660,211,550,542,116,328,435,644,444,423,423,531,122,656,407,681,780,
907,119,124,041,536,472,929,165,494,121,743,903,466,297,101,979,848,208,802,
534,681,395,646,448,195,667,078,409,703,073,651,832,665,856,530,260,433,003,
613,507,647,550,834,350,308,373,024,206,236,143,258,291,567,891,265,659,874,
783,444,782,038,896,951,583,134,433,649,999,953,607,881,740,294,294,848,837,
361,375,614,881,180,835,162,888,111,299,180,323,851,814,806,683,040,375,208,
905,727,289,416,135,970,433,972,622,542,205,594,769,083,320,623,908,379,570,
873,336,648,058,230,663,396,908,471,782,842,746,167,736,531,397,753,607,612,
374,542,738,529,277,061,266,721,682,540,662,514,733,993,175,697,455,910,272,
265,781,247,863,183,327,486,868,603,497,003,407,567,619,523,720,886,483,966,
839,536,293,971,220,101,923,205,285,249,425,816,059,856,549,981,489,696,303,
788,800,801,929,574,620,663,641,555,815,602,828,060,914,008,985,218,117,122,
692,459,435,698,680,211,812,131,254,990,021,514,131,669,658,222,001,800,488,
568,396,312,367,207,787,918,715,183,073,855,942,532,866,298,325,785,884,254,
049,995,484,658,973,619,179,150,861,992,674,165,047,551,687,241,558,441,771,
135,930,684,100,116,275,331,047,626,570,272,726,466,481,737,156,724,978,003,
048,861,317,290,293,451,881,071,573,807,102,199,999,513,390,476,704,741,635,
145,689,611,197,456,091,270,339,964,462,504,461,617,660,766,694,154,569,362,
906,868,404,679,353,336,618,455,961,248,470,722,137,295,513,004,923,282,123,
882,941,670,592,497,999,187,616,822,747,800,305,447,220,866,699,296,110,117,
018,149,895,350,768,475,767,360,170,977,593,115,108,418,606,590,746,356,953,
825,984,702,262,303,768,305,964,710,817,867,344,466,990,307,778,923,582,526,
796,075,679,944,981,587,092,510,468,321,743,070,172,002,774,634,236,734,852,
746,990,421,932,202,897,702,826,437,477,931,856,517,220,843,190,492,352,125,
765,259,157,267,772,501,363,402,439,223,704,610,679,498,290,218,893,909,268,
627,651,838,721,378,130,825,804,386,392,060,184,130,568,719,492,382,717,287,
463,242,252,503,546,291,211,409,197,132,002,688,961,860,354,890,502,355,785,
506,506,809,339,629,808,511,809,576,200,220,534,488,431,958,699,867,617,222,
702,153,392,155,096,775,416,708,580,572,037,229,525,831,058,669,772,648,327,
269,718,655,510,566,392,997,869,498,881,155,389,260,522,057,608,632,533,379,
835,363,498,608,305,784,133,902,171,059,896,936,760,649,285,396,392,693,511,
625,783,197,886,261,736,500,888,634,385,013,561,754,547,457,458,272,359,542,
948,423,772,930,965,493,938,726,034,073,968,723,595,106,942,371,569,682,657,
486,302,293,810,974,538,366,657,736,397,513,077,358,335,247,010,075,372,403,
705,768,851,869,253,067,308,057,044,847,975,007,359,754,379,152,632,927,668,
696,670,344,399,534,351,974,627,852,264,334,846,688,502,571,064,584,403,462,
657,766,660,547,942,037,594,581,635,191,208,813,180,478,971,642,897,575,244,
666,929,753,034,168,743,598,765,805,660,147,737,026,985,628,910,067,545,807,
633,007,124,788,964,658,603,732,659,388,262,130,062,492,739,049,143,283,114,
060,823,432,094,605,655,441,056,097,875,112,581,877,988,286,913,314,388,257,
433,821,982,443,910,701,132,984,899,554,945,792,834,922,456,072,140,276,502,
332,846,161,020,235,795,947,857,493,539,253,436,092,315,836,852,234,966,731,
751,014,596,970,656,330,517,031,440,675,943,119,546,246,701,535,672,439,696,
970,497,485,354,546,457,392,999,327,844,439,312,039,862,399,198,325,628,556,
250,282,002,968,551,727,133,973,604,224,055,275,367,742,928,247,526,349,777,
799,049,502,483,013,255,860,528,883,020,597,075,326,871,993,913,747,674,899,
386,595,518,511,079,469,553,180,687,947,063,936,347,780,021,341,776,449,610,
095,646,396,297,482,110,300,258,587,076,897,458,370,129,978,423,610,735,948,
017,183,592,267,191,709,771,889,746,740,767,288,213,710,858,364,100,638,933,
296,884,029,566,907,533,682,503,710,691,184,501,150,745,154,059,845,762,075,
644,690,172,913,436,723,398,371,332,676,990,657,605,682,305,795,933,992,605,
021,507,868,872,335,880,314,109,009,224,044,664,518,056,231,353,230,256,343,
286,116,704,615,116,201,087,704,373,775,352,583,237,707,153,611,209,996,206,
675,862,538,575,679,599,357,335,417,548,170,364,224,001,287,579,296,158,737,
082,886,339,224,880,061,505,581,201,851,813,528,374,394,239,396,622,222,464,
093,025,768,853,650,274,508,696,549,570,933,972,524,549,951,838,945,026,101,
001,584,653,176,656,419,538,978,227,506,601,439,770,226,227,403,164,064,808,
703,110,976,630,146,349,766,731,759,549,893,821,860,987,556,477,704,552,508,
204,490,458,897,742,139,956,942,705,030,754,758,581,332,224,722,925,644,461,
808,919,138,113,215,328,483,462,538,105,896,388,576,684,955,420,438,812,501,
594,091,094,069,872,558,558,960,086,128,325,868,342,179,383,870,246,139,980,
426,684,104,019,358,090,241,750,527,108,017,475,727,859,741,227,197,076,566,
200,152,202,261,928,531,202,763,814,754,736,257,231,720,084,514,263,636,513,
079,961,453,809,859,482,177,895,719,771,025,266,479,918,598,335,923,993,286,
170,165,163,797,055,163,788,359,288,992,665,790,464,442,997,507,741,035,854,
637,652,525,525,323,248,943,073,245,932,690,801,879,232,987,205,313,859,752,
740,323,891,510,641,647,004,852,152,185,088,562,524,199,161,123,264,828,597,
775,184,830,332,684,852,612,449,865,610,489,723,310,547,151,948,941,813,274,
940,134,859,401,977,719,768,364,583,144,722,464,925,867,429,625,328,289,516,
962,062,287,790,474,067,994,459,221,639,435,784,252,196,530,012,569,052,533,
546,666,899,250,926,380,450,063,428,024,744,959,504,613,546,738,231,643,310,
975,334,342,261,404,802,854,387,560,387,685,773,111,532,135,368,981,460,882,
310,345,729,643,951,979,338,915,863,302,206,630,708,210,635,659,133,803,899,
285,599,092,196,942,180,057,596,154,664,797,683,480,017,406,375,993,305,113,
705,848,040,933,790,514,634,574,677,079,872,720,230,477,099,092,449,247,991,
061,990,418,281,459,983,736,943,328,554,150,584,279,903,272,623,289,555,025,
866,884,834,587,554,453,927,666,803,713,262,337,941,720,592,446,665,345,606,
597,717,344,636,803,768,584,108,749,871,198,167,823,877,988,708,320,163,970,
139,072,484,132,092,373,980,471,267,781,938,210,412,419,285,582,247,241,817,
282,293,386,187,063,779,321,919,477,498,206,748,345,506,154,857,372,437,958,
660,632,250,173,224,933,504,282,310,978,157,544,008,462,031,148,534,564,874,
691,267,788,182,835,749,912,964,273,847,943,715,175,754,548,464,631,543,907,
153,569,107,581,636,699,050,619,074,447,066,199,537,607,340,304,600,480,607,
685,056,541,634,751,128,954,092,933,659,196,594,293,077,112,432,413,348,235,
324,587,687,794,739,498,714,847,958,218,937,805,854,105,756,434,319,482,105,
859,679,569,115,309,008,016,226,479,706,589,833,877,244,990,173,937,754,975,
901,929,757,331,578,848,414,828,900,234,249,506,461,112,579,511,044,839,254,
960,912,048,476,885,591,771,055,301,762,346,349,867,944,442,958,602,365,785,
723,721,402,237,283,325,843,387,382,214,476,121,877,026,530,137,136,166,306,
865,638,438,162,927,868,329,214,022,638,088,331,584,010,426,508,255,758,309,
566,001,208,618,148,391,620,976,760,284,749,062,764,911,088,177,109,719,271,
541,793,787,774,789,535,338,989,171,831,431,663,412,762,752,118,656,074,314,
759,970,648,598,962,407,612,600,531,691,757,732,116,998,279,955,995,443,387,
464,711,068,794,765,569,213,597,631,206,948,288,331,341,330,211,800,859,229,
715,015,874,774,534,498,384,456,374,138,861,036,701,032,620,609,247,215,417,
291,328,346,563,582,127,347,972,869,439,480,555,172,056,662,039,096,966,721,
107,232,981,882,745,523,249,399,527,986,114,583,201,457,112,362,274,583,700,
226,566,004,322,063,690,684,457,322,378,935,437,893,158,260,000,716,831,921,
094,541,589,777,733,634,959,598,104,006,651,300,403,749,312,996,964,319,874,
463,702,708,766,163,297,665,502,835,322,321,850,220,148,108,148,133,356,448,
925,414,387,675,177,629,685,045,407,927,540,817,430,881,425,266,964,688,595,
551,938,295,306,853,729,518,603,368,982,450,156,209,169,588,225,371,441,173,
964,305,586,072,128,332,983,630,654,433,814,548,512,411,338,042,915,931,208,
048,110,319,912,903,096,401,731,002,661,049,377,419,282,364,438,757,602,602,
699,225,700,464,049,060,797,509,564,662,553,514,808,452,188,490,264,829,832,
934,701,845,265,823,108,351,370,020,364,895,263,187,240,872,701,742,810,071,
467,184,001,959,182,476,189,881,620,755,636,063,852,600,748,770,570,005,812,
835,887,858,743,060,719,510,398,307,095,722,903,737,372,889,174,557,462,267,
614,181,126,008,478,499,776,910,128,596,516,900,114,535,056,158,477,003,500,
540,723,121,286,452,316,970,316,214,011,682,309,548,881,933,568,984,966,378,
565,118,585,481,357,927,666,183,380,236,767,912,240,150,301,330,255,697,762,
873,642,741,478,484,171,645,613,386,727,250,776,178,153,030,837,782,265,042,
706,726,291,938,107,184,296,052,957,975,498,307,315,458,100,584,051,757,381,
196,000,010,483,094,717,593,470,628,780,918,006,150,279,817,179,655,146,468,
211,519,277,562,712,775,906,281,480,140,194,678,248,562,170,833,891,383,914,
087,174,345,153,337,065,581,408,630,711,541,947,808,406,716,233,537,421,829,
378,091,686,659,785,030,100,431,444,253,870,480,414,869,557,935,546,403,644,
499,202,694,569,751,600,685,005,024,839,248,448,091,400,571,666,242,524,139,
980,393,966,503,002,861,817,906,249,936,421,549,116,907,486,512,595,826,709,
520,680,906,551,079,999,917,266,555,518,660,568,452,597,930,810,601,807,117,
034,878,603,478,887,517,432,277,793,247,698,069,050,749,225,749,706,008,544,
839,784,443,841,803,911,839,410,769,440,406,930,027,454,778,733,154,707,269,
409,712,990,343,923,044,768,308,445,965,538,786,277,513,544,556,374,725,712,
553,267,574,048,505,164,417,177,590,975,217,314,287,321,245,395,516,431,669,
049,336,416,921,800,476,113,810,213,773,186,848,345,598,935,388,298,333,186,
750,040,851,077,625,272,843,938,543,663,733,924,584,259,035,462,876,188,098,
029,407,374,060,149,967,380,528,301,265,434,922,406,710,411,137,450,971,774,
679,816,402,754,424,879,499,240,755,205,009,136,648,307,555,899,997,023,338,
616,465,087,252,465,813,011,742,733,981,177,842,895,598,548,470,703,495,014,
753,560,727,596,544,031,664,956,535,395,741,260,468,004,045,538,926,775,507,
057,656,253,003,991,010,857,281,969,410,944,908,530,260,064,610,933,510,156,
608,859,503,123,824,834,132,952,201,747,697,742,081,431,016,765,786,922,274,
823,223,800,425,862,463,463,635,149,690,839,401,263,812,275,373,506,621,183,
532,357,209,831,633,872,641,427,598,750,818,781,776,499,629,714,619,951,816,
029,532,701,057,952,164,621,834,384,259,496,883,531,370,398,228,283,025,884,
625,529,655,055,516,274,968,363,146,971,310,653,779,932,661,428,564,868,003,
250,725,629,475,577,778,582,542,346,106,859,448,508,256,574,187,947,368,666,
900,767,181,679,897,276,427,812,253,942,627,507,570,303,439,829,413,158,291,
032,162,621,021,926,344,539,551,910,813,329,514,309,553,627,447,685,445,894,
085,252,996,119,171,538,558,635,339,591,233,112,575,324,664,069,601,176,603,
339,546,379,856,298,940,788,251,971,761,959,644,528,777,192,905,621,409,902,
645,272,563,246,402,222,735,955,533,600,819,779,652,406,596,076,119,795,440,
841,789,823,623,256,250,736,246,019,312,199,364,200,499,732,246,311,874,504,
505,981,107,998,420,723,521,580,606,294,217,025,790,014,574,586,809,178,694,
289,502,775,053,513,869,320,230,798,040,860,770,440,301,677,120,664,385,899,
437,673,851,873,012,070,002,254,055,299,553,485,987,450,752,981,726,359,163,
951,585,827,816,034,475,329,301,177,144,709,376,991,301,300,504,965,659,580,
106,721,825,169,932,384,528,634,255,016,100,174,506,096,494,379,786,396,856,
733,628,167,784,741,473,796,910,929,264,711,419,800,508,271,057,826,914,848,
284,021,392,356,535,922,082,623,288,612,510,671,384,193,678,407,519,152,454,
896,133,949,982,851,314,394,524,305,669,828,674,944,621,802,752,906,886,998,
602,271,758,305,404,440,040,374,223,746,812,896,882,332,733,906,135,599,075,
528,989,271,461,737,014,617,032,983,189,863,315,435,818,357,106,776,643,015,
711,941,245,152,103,877,120,298,106,462,277,472,938,522,446,947,976,213,215,
123,368,497,644,472,042,048,997,914,664,057,578,501,042,089,902,487,802,640,
420,768,181,390,278,481,467,621,068,261,216,065,012,697,720,834,090,088,979,
273,743,665,921,286,207,160,487,801,333,065,956,284,910,962,775,765,608,553,
846,490,162,549,298,411,967,371,090,523,278,435,921,263,548,139,972,412,665,
518,885,369,280,606,924,134,151,019,753,761,590,188,169,521,720,118,746,143,
942,191,283,972,277,356,334,322,203,079,921,339,046,991,728,092,067,955,523,
622,671,943,274,939,232,707,706,094,515,569,900,343,547,788,031,339,404,607,
943,845,542,570,944,852,261,645,361,399,801,526,255,695,162,670,605,856,920,
801,187,381,900,846,907,083,837,446,390,769,534,413,969,446,931,912,070,136,
067,259,567,060,905,952,845,381,735,598,336,673,253,326,731,724,998,648,972,
518,442,830,432,328,673,419,151,579,747,915,724,179,729,471,608,995,293,274,
528,495,517,628,339,100,152,871,334,832,510,311,216,236,723,790,996,046,031,
967,720,241,505,083,371,717,172,850,503,293,579,710,829,062,260,451,171,364,
009,978,176,978,580,995,384,771,564,150,407,864,884,550,881,852,660,014,752,
751,423,568,086,527,949,048,829,939,211,412,575,367,667,874,654,177,433,669,
642,865,735,546,248,929,670,859,015,723,490,657,259,729,076,010,352,661,654,
603,968,883,544,739,301,029,389,120,819,542,059,204,081,947,981,483,356,192,
423,019,262,164,230,369,779,610,401,741,269,989,574,360,577,261,390,433,376,
837,278,446,572,530,788,049,734,358,796,293,838,852,491,138,520,581,566,174,
377,972,921,240,013,492,827,894,062,109,507,648,116,359,403,564,328,054,355,
725,897,944,540,656,026,465,318,597,897,670,370,355,940,051,949,544,255,557,
345,866,620,455,444,490,523,648,453,016,960,234,639,745,313,513,012,239,671,
911,091,438,761,609,067,071,077,539,880,671,011,143,430,128,652,888,353,022,
895,097,801,690,366,053,136,890,431,618,660,741,175,340,975,382,009,599,400,
603,574,709,597,540,725,217,400,787,853,386,112,838,721,577,956,784,442,411,
985,277,819,199,265,738,297,848,849,054,574,724,376,459,427,250,817,959,340,
328,200,972,351,021,349,691,629,645,683,517,682,080,223,819,985,989,585,186,
893,219,333,234,339,571,725,476,573,135,758,596,922,506,949,466,729,167,686,
774,304,970,723,065,127,970,056,370,620,610,703,517,663,796,745,560,898,943,
504,694,176,793,915,142,524,443,490,968,957,860,486,232,086,699,628,226,661,
589,917,275,369,609,548,507,189,802,508,583,436,287,662,985,706,468,467,536,
229,532,919,449,138,282,058,078,356,614,463,112,748,978,587,962,866,774,024,
638,149,842,531,940,284,140,279,855,944,550,461,533,351,730,355,355,607,794,
297,120,431,778,629,149,204,130,704,153,516,077,562,679,138,373,353,220,696,
888,824,387,865,698,578,925,039,798,013,345,735,315,422,322,991,932,336,726,
493,185,191,353,581,134,744,491,850,858,386,271,374,055,442,457,968,212,807,
395,268,117,339,895,544,325,678,569,597,307,940,284,882,249,722,559,680,256,
070,698,019,093,510,687,199,248,707,863,212,321,706,800,007,311,450,470,136,
516,623,512,692,368,957,521,826,967,015,995,364,677,968,832,185,994,752,632,
725,031,155,377,738,043,256,329,892,004,906,876,390,049,951,601,882,488,587,
390,354,441,546,374,845,140,450,744,621,642,051,191,001,653,394,799,253,800,
431,500,138,663,489,170,618,125,729,749,820,628,135,782,515,116,141,496,125,
089,802,721,538,430,592,462,386,109,610,901,560,983,183,422,739,835,663,999,
066,428,673,372,063,636,301,860,804,147,395,259,032,117,692,376,391,050,782,
320,583,870,760,426,940,788,578,692,256,640,046,319,161,457,849,416,408,002,
691,885,887,997,570,066,105,886,558,561,456,435,194,985,241,630,230,633,844,
695,423,910,448,651,114,843,068,202,888,881,602,868,815,987,622,625,755,131,
476,212,657,967,480,108,503,679,582,212,516,152,009,496,377,717,301,587,565,
518,112,018,547,517,369,348,451,797,799,277,923,534,212,516,497,049,616,759,
482,072,794,697,155,890,896,271,265,590,237,738,740,909,874,959,003,652,793,
060,650,968,675,582,054,178,281,977,702,526,672,421,577,139,573,632,040,379,
935,984,218,309,562,372,134,697,693,940,709,815,112,592,235,467,207,433,677,
359,948,388,584,244,679,826,233,679,938,018,050,269,486,435,868,505,714,466,
503,793,078,501,095,100,502,103,791,893,374,619,410,014,947,117,808,654,262,
433,679,675,650,824,854,447,565,182,576,386,886,112,356,495,079,283,435,453,
312,229,071,572,572,543,437,315,102,578,052,389,961,119,249,225,172,373,112,
024,551,938,856,508,226,162,351,899,799,156,780,426,223,413,390,328,318,155,
531,386,109,514,474,390,599,120,482,500,622,508,419,829,586,578,942,625,418,
919,368,234,040,017,627,231,333,454,229,176,466,018,117,832,305,956,975,444,
686,223,053,657,874,963,573,729,278,917,213,061,600,532,586,008,883,710,392,
104,839,360,256,881,424,959,077,005,927,060,842,818,739,396,934,525,534,427,
045,216,353,597,931,687,165,375,581,446,027,653,253,871,300,353,888,648,151,
141,825,210,582,223,984,348,782,749,388,996,806,188,528,541,081,075,933,502,
080,481,769,664,094,238,897,606,303,822,806,388,356,981,904,991,482,262,637,
199,301,575,573,447,185,689,084,595,063,654,232,987,793,371,668,651,898,055,
519,815,169,906,396,005,091,363,930,892,647,567,003,345,400,245,676,854,636,
156,893,541,476,428,907,029,790,776,811,460,205,330,708,748,745,514,914,585,
179,158,280,016,196,322,733,167,350,200,114,613,474,626,827,220,335,656,072,
720,767,227,794,716,073,469,805,499,614,345,588,193,417,585,559,694,276,682,
390,494,577,849,886,871,412,220,613,139,174,081,925,560,957,987,066,828,128,
487,784,205,718,883,214,613,917,345,385,188,262,406,812,021,149,922,163,187,
779,507,354,082,296,751,875,887,640,639,463,417,006,313,783,082,421,183,539,
309,731,762,153,080,160,973,098,691,033,389,231,824,905,426,162,665,397,474,
133,210,952,541,592,935,558,215,141,457,682,299,389,762,216,149,248,083,779,
525,269,013,158,699,762,785,803,365,616,916,975,063,286,695,301,214,341,459,
013,404,632,828,555,696,687,033,571,107,491,187,894,843,113,509,919,489,211,
766,619,900,944,165,051,062,118,784,969,093,060,441,828,018,480,546,455,093,
578,077,310,446,037,499,435,152,995,873,077,481,559,288,249,535,478,273,128,
068,246,351,135,928,451,999,990,348,905,078,881,384,557,795,160,616,684,039,
055,869,678,788,001,571,707,958,578,925,749,908,177,825,161,938,790,871,922,
117,785,798,314,265,749,414,154,978,978,216,683,340,644,842,001,558,032,178,
454,370,737,141,913,915,674,929,570,402,511,115,824,482,087,369,812,537,587,
983,797,020,980,662,456,642,767,236,286,928,810,726,663,032,568,831,606,100,
397,015,561,657,031,484,017,355,328,010,746,387,278,201,623,614,113,671,975,
132,594,058,865,216,890,195,229,655,407,363,740,187,084,027,563,156,645,344,
579,757,148,963,060,584,530,422,675,560,158,575,470,168,759,734,286,489,900,
374,685,658,008,190,035,704,258,712,813,067,597,316,620,931,520,523,920,606,
321,746,104,708,595,680,291,646,819,836,886,866,113,933,483,855,381,956,845,
502,804,502,451,706,495,738,143,039,478,556,910,294,360,414,489,360,754,537,
649,504,236,909,435,231,619,284,079,622,357,223,726,233,086,368,937,777,658,
190,959,006,131,690,901,502,992,920,323,103,233,815,170,979,433,188,933,625,
181,810,321,639,399,844,737,408,629,923,799,787,842,973,266,631,339,018,105,
994,711,184,840,254,457,185,346,535,280,604,339,759,028,353,123,289,399,624,
632,377,182,216,296,172,576,625,794,227,146,645,147,510,281,908,826,115,109,
780,856,591,462,981,101,126,279,388,774,191,213,455,345,145,489,031,886,077,
613,985,585,186,220,862,282,550,843,090,788,182,181,242,458,521,514,556,474,
097,421,029,772,240,989,290,773,489,964,056,314,307,792,817,129,069,341,456,
676,787,259,523,071,926,930,139,888,538,390,469,238,691,665,307,049,217,550,
671,866,328,778,582,884,203,816,823,621,717,020,107,612,001,287,355,708,445,
526,711,394,262,430,016,753,148,257,940,247,015,431,677,013,314,389,532,636,
252,532,750,268,261,298,108,763,907,777,094,785,756,689,089,080,930,295,634,
593,888,725,193,777,462,718,274,868,761,779,228,370,857,683,618,988,392,286,
712,002,514,116,254,268,249,740,449,561,167,713,446,912,604,147,296,477,945,
493,300,688,408,492,834,660,268,746,872,190,396,543,889,200,786,849,708,985,
525,703,987,973,901,495,866,761,550,697,287,618,058,571,378,587,452,935,502,
454,804,339,744,538,545,517,610,602,068,532,759,879,862,402,111,847,561,934,
012,034,664,433,463,190,490,918,202,851,521,737,073,099,128,932,894,702,584,
971,165,215,877,840,201,689,998,060,457,180,612,428,056,046,064,082,435,992,
031,933,172,163,413,447,741,862,338,577,828,970,747,431,954,330,252,369,020,
449,864,485,691,439,190,496,615,645,798,825,113,863,769,164,470,658,301,460,
650,233,465,084,325,594,193,924,044,687,585,087,054,854,580,241,796,623,220,
415,442,636,262,564,914,494,191,702,883,790,091,128,267,506,984,377,175,706,
771,053,642,268,826,353,894,561,253,939,372,938,346,106,320,635,502,799,406,
127,591,184,112,072,355,839,444,423,966,183,547,249,283,375,411,760,912,015,
339,193,017,842,789,533,567,770,211,426,254,552,343,044,493,457,078,538,946,
643,948,066,221,164,269,632,949,085,877,728,081,610,437,760,090,328,007,834,
529,615,893,373,924,657,842,974,848,998,807,360,138,237,729,393,540,993,734,
103,190,461,509,133,060,583,358,709,187,240,219,589,855,114,000,614,800,169,
800,534,437,193,501,613,107,569,945,919,394,593,747,505,989,792,037,928,523,
993,113,025,250,730,800,198,711,256,013,831,969,796,040,354,698,019,565,128,
333,469,456,745,259,023,824,059,171,050,029,070,062,421,434,750,193,321,839,
251,077,225,101,531,559,765,137,611,193,707,411,235,017,778,616,760,553,030,
244,163,891,428,831,206,863,239,933,736,750,463,285,470,771,292,441,855,923,
976,884,250,505,206,534,653,322,115,743,027,518,211,877,089,795,327,076,923,
519,187,232,561,548,528,041,323,761,041,686,644,654,347,886,620,897,925,304,
046,780,709,997,274,470,921,514,609,174,124,275,448,775,945,513,669,688,540,
590,523,463,574,653,618,458,629,227,950,996,122,426,625,347,976,990,828,369,
220,490,449,802,780,139,771,040,516,784,415,821,516,163,830,789,015,574,367,
313,395,685,653,419,353,266,908,385,218,792,158,508,362,095,180,131,252,652,
379,816,741,644,728,366,443,045,693,978,311,499,183,246,300,115,661,254,706,
484,809,574,860,531,102,499,494,501,994,695,217,497,538,377,426,633,267,087,
849,934,611,992,392,831,307,541,467,319,759,724,277,716,661,944,745,101,654,
036,211,874,648,549,998,707,103,876,547,004,432,347,377,399,222,129,593,332,
800,905,977,069,505,015,125,743,043,596,815,614,343,810,975,078,222,878,979,
730,867,174,307,480,831,602,250,520,477,703,753,666,769,298,515,968,258,353,
564,957,739,686,850,436,292,278,431,611,329,171,705,544,239,845,864,083,634,
037,689,017,578,336,695,152,326,164,369,092,666,871,689,009,176,775,801,609,
693,089,841,347,662,963,054,722,404,500,558,595,859,731,867,446,268,533,342,
064,602,881,628,752,204,320,336,779,492,160,409,109,900,873,930,592,409,665,
131,821,494,228,948,657,805,074,462,351,361,725,565,677,611,179,300,384,416,
477,693,615,116,292,468,159,855,969,260,008,903,884,217,324,867,557,470,872,
179,407,339,723,430,800,378,325,145,367,126,136,313,846,613,883,175,867,036,
357,190,626,746,014,581,361,057,414,440,605,750,999,286,700,591,373,288,371,
476,742,721,713,573,863,307,382,555,298,374,795,444,936,261,170,582,766,297,
145,629,581,198,155,332,821,177,079,907,939,878,256,732,806,493,380,880,590,
857,666,163,809,038,887,067,770,871,789,004,769,341,875,013,749,655,471,894,
149,521,895,726,490,962,097,411,312,580,382,763,504,793,341,158,403,384,490,
037,446,280,690,576,260,495,871,900,311,074,639,512,393,883,353,842,033,844,
716,064,948,896,751,115,240,586,423,140,164,953,092,545,569,352,723,059,903,
493,018,919,553,885,592,459,761,191,787,957,543,401,524,706,541,042,514,084,
651,611,101,844,990,817,774,139,343,059,100,696,305,614,631,478,065,027,943,
491,898,361,397,665,529,196,388,383,590,697,220,961,575,700,496,022,047,608,
541,501,943,809,513,010,102,541,782,618,333,866,638,278,402,617,945,104,452,
124,722,107,609,202,780,447,429,939,177,665,288,215,159,090,081,207,749,614,
314,541,679,228,309,995,615,069,058,999,235,092,194,503,901,155,363,758,295,
310,368,641,842,743,061,063,359,484,204,778,379,068,762,989,467,457,567,494,
975,966,671,640,753,343,431,300,092,820,564,332,341,828,331,091,795,886,713,
527,921,284,389,285,352,986,500,895,452,821,123,390,509,296,668,734,892,150,
987,763,138,774,081,072,501,581,415,140,621,301,477,735,467,491,989,276,118,
523,923,618,717,902,053,206,223,583,580,240,446,142,233,332,573,572,305,980,
178,806,012,131,373,075,127,819,235,705,216,207,440,292,319,984,068,420,535,
998,507,228,089,619,563,551,835,799,502,040,054,121,517,623,705,577,400,592,
355,001,889,924,761,619,178,283,225,032,424,616,965,269,250,521,683,592,013,
044,405,424,117,803,151,922,021,327,189,045,014,187,961,754,740,830,295,583,
231,647,954,478,411,077,806,486,459,784,659,456,215,073,848,016,492,398,133,
509,480,294,494,471,484,804,884,080,240,759,848,103,417,132,763,145,361,456,
320,618,657,955,993,006,137,721,245,465,336,946,419,872,371,170,337,790,757,
851,275,805,919,613,055,309,737,227,504,915,178,975,223,544,530,344,881,912,
702,544,877,001,700,192,083,828,408,306,295,336,404,352,804,406,250,831,791,
280,187,417,495,047,431,607,642,207,571,264,611,195,127,855,669,776,156,919,
468,638,683,608,799,578,701,675,472,177,226,631,212,843,243,806,925,344,692,
122,406,509,546,426,452,635,905,025,359,352,698,074,524,264,137,570,933,023,
748,971,306,900,399,758,761,955,353,816,525,322,710,729,621,785,956,943,650,
244,200,896,720,301,921,900,613,279,876,228,811,749,314,603,374,658,317,284,
258,658,279,759,408,068,209,968,037,607,709,041,226,191,102,597,228,325,517,
729,454,374,662,986,171,723,898,995,557,199,061,145,869,950,945,308,923,372,
222,044,594,818,470,952,943,299,894,079,497,216,026,589,231,153,130,515,317,
468,705,825,381,972,860,762,765,481,679,311,630,147,887,193,678,929,102,233,
701,501,508,315,071,931,378,623,195,818,284,285,522,371,250,257,452,382,367,
093,304,948,532,222,723,513,695,346,269,882,230,806,502,599,050,600,556,390,
431,786,880,864,047,121,513,987,711,421,046,276,287,012,349,689,977,946,066,
625,392,886,217,775,141,550,654,452,216,812,376,215,189,307,803,351,304,135,
228,523,068,090,472,465,250,627,480,284,494,689,481,890,803,020,047,710,502,
969,826,216,038,008,251,252,652,504,224,683,282,170,842,779,252,923,465,388,
729,669,476,942,610,094,834,132,012,559,687,170,589,839,841,806,564,363,925,
383,036,646,406,149,110,603,615,502,223,603,020,670,897,670,860,345,636,046,
370,921,144,745,455,192,845,982,206,102,447,034,795,520,124,939,019,881,155,
205,936,449,604,892,930,307,794,449,632,870,745,553,837,560,982,089,726,865,
424,553,589,787,607,537,596,367,700,340,332,289,363,270,525,821,844,675,240,
033,002,361,296,503,205,596,112,955,632,364,282,149,689,498,132,894,442,295,
069,210,038,676,327,836,536,772,965,917,425,580,683,044,206,916,051,175,199,
514,135,390,485,161,561,942,934,780,993,607,867,045,866,463,092,906,575,212,
683,226,764,891,907,681,303,033,045,786,012,805,438,720,945,672,435,090,602,
861,810,137,852,033,946,336,965,487,008,373,697,374,249,778,289,888,096,798,
693,203,933,286,652,721,019,552,339,158,986,439,309,675,755,028,035,181,123,
018,323,211,509,558,330,201,342,042,501,683,706,376,608,254,326,773,877,766,
294,301,749,494,081,149,973,368,409,508,769,401,817,676,616,810,431,105,952,
342,587,176,144,533,624,977,116,127,550,385,479,402,380,919,277,696,649,214,
339,512,964,195,551,039,001,735,164,148,041,754,108,975,654,547,191,128,339,
456,255,432,508,251,950,633,377,683,002,546,775,186,973,330,239,540,456,212,
924,160,339,106,389,716,314,385,380,160,359,446,235,924,870,228,721,274,362,
046,769,454,857,006,465,844,102,895,579,075,958,933,498,924,739,861,015,462,
691,853,671,699,030,823,373,583,498,868,126,488,897,281,348,835,149,274,979,
013,780,960,537,630,882,840,474,219,036,292,645,521,518,485,269,871,120,154,
362,634,096,110,536,871,084,054,066,811,701,109,944,794,319,518,962,671,906,
217,262,302,094,089,754,579,406,368,215,394,976,430,658,845,779,368,023,229,
382,045,047,269,695,598,865,034,007,114,600,899,299,191,432,226,733,280,395,
137,257,588,462,449,886,879,908,945,518,241,036,965,580,046,705,896,733,677,
287,905,796,589,811,964,021,039,084,561,233,979,413,055,864,934,051,150,463,
589,637,296,334,569,368,482,604,345,662,118,164,208,955,967,955,646,594,064,
083,218,504,916,318,793,057,761,816,153,851,956,458,207,222,586,562,801,307,
416,679,144,370,629,864,727,682,791,533,412,884,975,430,217,267,182,588,794,
681,651,080,060,696,813,677,547,052,477,727,068,524,071,995,862,245,823,619,
331,281,415,426,323,468,690,761,104,251,857,953,747,921,809,878,336,612,719,
499,037,154,464,838,714,375,549,849,551,407,666,812,658,862,244,380,592,247,
677,876,780,767,493,237,738,239,667,295,875,088,532,592,865,639,830,507,474,
079,798,972,109,901,020,987,027,471,889,030,574,983,397,946,574,160,450,104,
719,923,484,092,803,726,938,818,238,016,417,389,247,493,070,922,856,779,056,
433,652,985,332,692,273,181,983,554,493,917,831,229,194,879,587,470,147,976,
202,369,871,182,531,725,059,517,571,687,228,667,350,793,773,106,748,924,519,
983,883,571,692,979,593,372,694,469,874,618,817,330,636,535,299,087,228,940,
499,882,558,488,286,765,750,360,210,494,832,668,333,915,941,401,177,568,585,
681,874,477,087,837,809,840,048,828,274,841,763,994,978,861,868,827,589,938,
592,890,076,937,676,816,069,071,102,924,340,043,588,948,048,427,232,528,005,
810,550,779,228,549,353,158,383,663,877,363,673,404,181,262,777,953,411,260,
695,235,934,406,439,084,073,775,223,398,238,493,331,515,722,340,846,322,167,
987,851,677,458,815,434,908,098,361,434,736,507,409,755,465,469,111,625,401,
195,066,105,868,101,764,287,468,309,764,064,418,136,497,776,420,386,951,343,
823,277,631,092,215,385,430,714,254,158,656,503,040,301,924,382,622,025,334,
726,325,558,281,121,852,616,354,267,984,242,808,027,093,755,730,539,571,407,
067,600,847,022,790,475,140,182,255,250,469,954,951,045,423,198,321,408,630,
179,880,620,210,985,901,043,466,392,666,142,989,728,319,684,070,449,573,222,
873,007,177,330,801,304,550,771,058,360,432,453,993,317,733,719,616,320,374,
616,311,988,534,961,977,814,012,257,690,367,241,126,464,201,506,215,396,712,
984,326,176,265,755,863,104,213,809,182,535,505,324,770,778,447,859,154,543,
375,128,843,974,565,035,161,816,709,047,545,902,693,208,016,168,767,058,896,
862,968,080,397,495,619,047,879,105,456,630,589,537,026,570,722,346,595,006,
381,003,006,309,304,743,769,851,339,190,717,913,557,917,363,934,019,202,370,
227,986,756,582,998,932,515,873,518,542,040,759,236,782,663,407,438,883,697,
136,400,051,161,013,570,745,500,688,647,605,698,681,914,093,074,662,640,575,
149,182,527,986,064,454,519,887,889,396,370,101,497,109,547,294,722,822,605,
759,912,549,269,668,085,984,663,678,194,260,295,026,112,725,701,469,975,412,
100,420,363,624,210,468,776,684,523,150,027,838,855,522,579,974,489,511,821,
102,999,411,752,135,780,552,615,151,647,064,666,708,374,169,457,573,897,004,
121,188,652,631,726,264,333,377,691,428,008,809,382,985,994,584,901,604,648,
860,748,999,106,615,112,853,784,699,282,501,111,361,643,141,141,050,452,182,
630,450,666,044,983,322,454,481,151,918,857,705,553,935,239,359,727,350,155,
570,243,151,681,449,301,953,940,003,668,732,632,186,381,887,456,506,169,711,
641,112,518,638,654,096,643,449,495,440,933,722,763,515,189,980,578,971,721,
373,626,964,532,630,029,385,562,973,074,117,065,745,809,132,628,136,129,198,
050,230,142,413,993,670,029,215,322,389,770,162,198,471,558,121,780,081,058,
920,822,124,678,211,791,747,912,398,322,884,279,888,065,480,341,248,719,326,
266,524,680,587,325,001,761,562,605,047,393,571,258,624,674,279,025,175,541,
284,809,332,147,693,366,812,314,522,013,383,268,486,659,249,628,430,673,681,
248,128,621,502,051,030,651,729,314,741,029,506,205,255,452,474,786,929,242,
272,191,318,746,677,793,957,652,721,133,520,236,846,151,527,900,480,367,642,
168,777,687,417,151,479,049,408,854,461,015,274,281,867,212,719,648,557,382,
212,775,244,816,756,531,170,881,823,129,491,744,823,034,182,442,708,505,345,
107,484,478,060,824,841,938,411,690,205,637,294,245,300,898,154,765,960,681,
037,369,282,290,752,778,575,066,305,360,397,163,360,919,941,226,815,484,382,
410,098,885,390,122,015,460,392,950,402,069,428,139,882,877,928,624,069,573,
069,837,772,073,886,418,194,239,915,802,900,097,079,706,569,660,800,616,264,
321,003,600,522,856,912,742,783,760,589,962,064,467,450,071,712,389,367,217,
585,628,793,752,741,499,975,710,050,030,774,822,092,411,098,585,086,813,702,
434,187,185,775,056,718,849,794,603,554,984,686,929,403,184,698,261,908,984,
489,498,362,879,881,714,064,956,511,263,369,893,808,170,209,647,337,985,095,
314,058,937,151,013,920,069,746,539,149,443,852,547,936,995,020,657,535,923,
646,846,405,218,455,945,076,617,055,620,731,550,794,469,022,354,567,876,392,
561,426,630,754,135,838,828,585,662,921,741,322,409,902,579,871,066,473,568,
145,658,293,273,779,323,230,750,939,690,237,368,779,691,241,211,605,874,469,
739,352,987,172,590,233,206,694,458,670,498,175,185,017,531,161,297,736,318,
137,966,356,357,243,273,079,050,156,277,603,267,362,107,597,028,080,704,898,
477,365,977,293,341,941,073,236,480,302,046,439,384,284,683,256,835,963,112,
496,610,202,450,481,297,678,485,071,928,084,221,478,686,197,813,464,196,395,
339,327,329,815,807,657,689,547,307,336,141,001,926,087,491,077,114,952,725,
647,786,999,543,595,124,185,856,097,788,771,541,279,703,647,656,199,953,797,
303,815,572,991,841,960,190,139,340,384,372,264,687,338,539,199,951,424,422,
554,798,657,287,041,307,048,860,831,170,305,157,059,443,670,439,849,750,124,
606,574,970,700,469,967,082,890,331,564,811,663,380,786,269,490,407,351,117,
481,770,864,176,142,088,917,462,434,379,998,176,212,244,509,266,620,831,610,
445,555,112,847,711,693,991,340,666,729,861,822,280,407,938,168,152,798,250,
694,404,692,237,780,346,219,448,339,342,520,698,990,188,780,734,472,324,582,
896,240,966,753,803,732,280,818,044,582,869,304,815,544,633,855,196,574,223,
237,590,744,294,699,626,959,635,927,589,043,838,521,694,154,960,028,714,161,
064,400,654,982,672,309,093,317,613,239,176,199,039,702,842,008,047,196,099,
727,892,249,433,094,487,116,459,525,467,155,124,610,496,555,168,445,208,144,
305,964,669,574,724,756,917,340,664,146,493,139,645,819,954,240,679,420,718,
533,274,884,654,240,497,768,110,254,758,032,197,169,916,849,764,633,552,517,
234,537,985,610,412,361,593,256,978,765,611,132,478,846,115,215,561,175,467,
901,343,497,865,042,995,245,089,340,885,937,695,054,111,817,749,228,689,052,
155,801,519,898,679,663,480,989,004,578,945,124,347,125,227,929,082,462,699,
964,583,536,950,803,050,548,776,612,691,082,817,432,905,597,310,068,789,052,
778,238,776,148,970,237,346,416,408,216,361,166,048,465,319,084,733,464,872,
658,563,733,321,029,086,708,897,589,829,006,195,461,088,245,305,828,060,664,
697,332,888,219,557,908,395,353,620,191,050,117,431,875,317,596,653,789,718,
132,402,613,988,573,057,073,522,156,423,013,254,404,163,342,191,210,189,430,
677,889,852,588,285,918,616,267,864,282,679,912,211,797,325,486,100,737,549,
051,276,062,541,412,252,685,714,774,895,119,935,447,615,210,377,027,526,504,
472,026,899,524,489,491,085,221,418,305,444,815,543,320,443,659,610,259,771,
215,705,905,287,792,026,720,317,195,483,623,877,676,159,004,035,973,230,796,
514,485,885,382,160,032,951,685,187,658,719,920,897,619,842,447,647,747,333,
395,678,721,084,372,698,396,192,711,415,478,592,234,357,505,191,364,877,129,
670,945,999,964,994,507,583,211,371,752,531,407,385,036,806,722,272,723,758,
106,965,856,888,204,648,007,547,549,498,073,086,238,772,640,412,176,187,610,
399,508,402,401,425,347,619,128,313,418,423,214,969,598,231,245,097,013,711,
691,170,877,015,089,733,215,582,884,669,161,278,774,384,419,232,003,450,546,
070,099,078,616,213,432,049,729,017,743,288,658,515,156,695,937,158,100,805,
203,079,488,270,620,002,783,129,875,358,374,968,342,536,930,674,465,807,203,
844,017,575,826,544,862,183,830,401,269,602,660,820,141,000,635,391,131,273,
050,006,286,615,288,970,234,106,782,269,124,053,427,721,354,161,574,044,156,
043,958,518,733,158,215,232,040,258,828,888,073,248,307,231,266,955,556,129,
070,236,841,277,216,137,058,047,325,059,732,033,061,254,709,302,089,515,555,
357,324,906,901,739,365,634,563,504,400,755,446,908,460,654,901,546,160,143,
613,052,007,149,399,642,165,363,004,339,017,784,840,060,379,659,642,453,321,
304,821,492,325,961,221,028,178,232,564,057,063,039,132,090,097,866,878,609,
376,908,785,775,327,713,902,497,855,988,874,357,303,616,534,644,034,087,291,
034,643,235,748,176,834,674,461,059,235,802,389,300,226,583,332,387,817,278,
705,368,762,988,807,942,819,954,145,902,996,600,060,402,006,395,129,829,591,
288,510,483,984,108,073,644,169,878,287,555,979,385,192,107,784,205,316,618,
539,132,979,817,045,395,411,004,878,951,526,249,209,638,577,648,034,864,044,
013,979,860,873,729,513,810,759,777,185,975,426,138,985,191,604,141,405,226,
360,481,870,244,128,119,135,889,418,544,824,561,008,991,700,817,918,544,022,
897,707,824,354,118,255,288,847,760,818,327,086,888,611,254,401,555,386,877,
938,228,542,473,958,311,027,818,624,244,623,579,904,959,402,075,762,554,755,
491,275,660,102,173,632,085,187,130,039,749,123,191,489,880,497,737,591,692,
517,970,724,640,375,388,133,399,211,908,097,629,047,260,246,205,224,727,902,
444,007,529,210,910,110,025,425,630,994,158,092,534,761,896,843,373,416,854,
099,877,414,800,679,413,809,483,272,311,971,006,449,687,422,944,733,961,809,
005,183,202,232,707,211,058,355,344,533,474,468,752,055,037,034,563,120,316,
557,563,676,358,495,621,988,910,820,030,645,689,433,077,059,523,200,245,148,
383,294,840,522,473,905,554,181,809,945,617,860,980,209,011,399,806,925,144,
610,539,004,111,319,989,342,903,326,135,595,721,984,876,104,977,829,992,058,
512,253,801,783,747,629,700,771,843,061,398,828,714,437,151,176,228,296,517,
585,358,897,160,287,291,109,157,116,388,337,289,244,647,685,688,439,331,200,
278,664,530,936,192,863,424,571,349,739,820,771,760,601,460,336,786,028,562,
531,886,881,488,110,716,293,167,448,411,464,074,411,916,989,228,057,396,668,
680,576,068,211,465,427,916,896,997,249,587,675,306,301,100,458,291,721,169,
830,574,352,311,720,195,778,963,032,070,223,059,480,825,441,679,934,588,304,
939,330,009,654,652,966,870,264,014,388,961,159,731,855,646,701,210,919,932,
784,626,545,421,745,971,778,561,789,717,444,163,041,367,783,754,914,851,307,
585,340,297,676,141,656,704,300,848,652,640,110,188,415,707,142,965,118,674,
130,836,643,431,478,987,270,409,164,238,694,641,915,616,124,510,896,614,933,
474,907,747,530,022,320,538,193,205,571,873,532,655,609,006,770,690,909,225,
674,425,577,208,963,340,375,569,804,357,348,256,306,857,638,089,923,938,257,
020,142,635,761,362,339,974,759,918,490,233,335,550,113,145,976,892,343,663,
976,111,293,310,036,685,125,395,866,706,898,799,680,175,340,366,957,842,696,
821,305,902,884,032,785,151,286,682,604,099,008,062,818,786,342,569,732,852,
241,082,624,103,260,769,351,535,318,432,231,046,002,761,807,031,269,736,590,
921,970,980,869,885,739,105,075,833,658,806,310,132,362,601,136,665,340,857,
558,808,380,868,257,732,394,714,149,551,110,506,661,444,741,116,873,656,321,
591,499,472,947,590,251,748,232,554,483,690,873,961,793,656,913,522,476,214,
213,907,328,675,630,899,483,685,147,720,468,545,473,986,176,188,760,222,946,
950,893,842,867,968,174,325,336,036,608,008,308,628,164,885,202,644,812,537,
659,484,154,094,241,298,592,949,216,913,271,509,253,258,821,807,222,495,457,
192,885,301,821,107,799,285,232,268,365,185,779,866,672,998,881,478,226,683,
072,148,265,104,395,820,020,713,792,519,149,860,148,403,843,269,059,700,432,
221,191,965,225,158,044,377,904,492,676,865,748,971,890,126,657,629,294,902,
352,879,515,257,163,977,749,773,417,052,972,542,482,628,520,134,803,609,278,
492,261,372,507,667,160,085,975,592,922,081,886,585,354,604,604,511,436,245,
556,353,471,347,873,080,292,405,121,098,997,857,341,691,433,117,404,679,710,
725,669,673,174,111,419,798,914,132,310,172,300,304,540,095,752,953,972,886,
898,785,963,261,031,944,989,791,133,066,028,996,922,760,454,610,670,327,916,
535,499,856,224,735,681,235,732,019,300,235,120,351,567,876,926,923,625,192,
841,711,770,820,392,497,063,797,604,854,474,473,214,833,634,700,105,920,379,
845,181,350,479,063,297,312,081,900,171,382,848,165,317,102,921,521,649,091,
177,493,604,425,008,449,335,818,175,957,294,651,222,600,957,539,162,601,027,
814,706,789,966,389,921,247,291,471,518,945,541,287,864,023,078,266,461,295,
237,631,957,382,112,754,952,890,814,692,950,947,009,523,731,057,178,052,750,
557,839,104,077,053,125,476,168,024,182,259,211,941,705,367,591,086,641,393,
947,066,788,731,278,306,262,728,207,822,049,253,236,972,448,976,113,519,518,
721,315,344,051,449,039,945,445,909,943,246,270,373,673,257,097,246,181,491,
178,661,456,160,053,602,363,983,797,329,773,140,995,599,440,066,577,717,977,
503,786,644,449,039,224,442,758,676,178,020,572,587,572,897,607,384,256,125,
104,980,999,835,173,234,681,377,953,744,146,511,003,388,395,149,256,207,724,
930,060,117,828,904,127,145,376,823,179,915,280,568,437,000,515,945,327,887,
766,502,864,395,958,627,901,653,713,400,418,242,294,661,392,138,922,121,358,
565,190,134,928,064,298,199,371,704,246,596,129,484,114,931,595,099,493,417,
825,645,361,708,500,167,696,309,589,856,679,576,077,756,047,930,303,713,973,
263,803,521,998,712,000,038,727,754,757,051,267,910,365,323,470,704,765,267,
506,001,742,868,439,735,712,623,311,127,993,833,039,157,712,566,496,043,476,
955,352,225,641,935,513,842,276,592,077,198,318,063,247,432,470,583,270,522,
350,827,562,867,719,408,014,087,353,704,355,379,570,487,020,147,730,467,711,
456,498,421,488,806,719,745,741,872,976,070,227,008,841,922,499,730,733,790,
900,505,127,779,254,586,259,269,882,842,409,678,225,661,627,467,154,763,968,
242,637,786,216,328,963,943,000,161,020,194,127,969,616,480,647,377,167,215,
297,244,043,618,303,740,482,909,556,719,731,526,230,634,872,284,782,706,097,
277,111,857,403,230,215,982,179,820,595,585,349,743,690,695,260,829,864,056,
432,163,633,198,729,621,078,849,392,543,420,452,467,789,375,185,341,117,212,
503,368,362,837,214,045,211,254,751,504,138,471,034,373,246,725,887,878,565,
176,791,262,328,231,372,345,277,599,047,224,133,380,800,662,305,981,884,528,
040,093,954,580,479,565,187,855,655,257,301,961,261,502,053,355,500,563,625,
316,641,160,495,545,731,804,508,607,278,375,461,255,451,168,879,475,544,657,
607,853,834,974,154,965,842,242,830,306,143,979,171,321,667,192,506,993,419,
765,681,462,947,565,764,319,986,767,558,585,218,368,444,357,528,880,749,739,
992,587,177,009,431,864,414,093,146,893,323,403,833,308,554,997,931,148,935,
464,263,663,040,295,803,242,033,987,470,342,287,535,314,059,704,154,813,589,
830,499,408,283,843,802,041,311,035,566,037,040,419,920,102,802,612,750,208,
989,879,608,983,718,889,881,198,820,557,248,802,085,303,498,776,672,283,980,
641,981,336,010,094,455,127,374,548,355,127,128,502,645,770,009,120,497,097,
922,864,599,302,511,833,959,263,246,083,857,957,406,795,664,624,911,177,255,
462,492,354,495,800,457,681,247,903,717,746,434,682,871,592,956,285,095,329,
568,040,105,820,108,713,647,489,779,109,910,773,318,524,991,142,311,126,184,
474,475,290,410,522,440,031,375,773,075,875,922,169,502,290,524,970,435,044,
654,339,891,791,204,952,343,542,838,562,731,776,777,733,506,151,715,348,691,
130,850,111,760,154,937,303,876,494,596,048,142,833,781,819,368,659,151,632,
982,644,645,663,272,013,139,995,511,434,137,288,135,558,266,738,942,815,991,
543,316,973,259,231,132,342,753,437,016,894,704,895,516,921,810,155,362,577,
838,795,485,352,554,603,997,119,327,622,081,851,898,148,194,900,727,967,717,
483,630,627,251,736,130,400,570,306,199,080,223,157,091,036,717,687,238,151,
596,248,890,291,160,208,551,664,437,318,333,556,847,649,546,041,874,601,361,
044,564,814,874,945,237,794,600,575,646,728,374,802,000,527,980,047,870,107,
033,530,518,119,043,644,335,882,119,202,953,430,188,626,341,091,100,521,603,
788,125,419,716,785,472,808,549,244,451,921,996,296,170,338,272,319,652,451,
543,385,286,329,347,110,578,023,066,726,637,574,308,418,606,956,258,577,928,
251,783,933,865,074,713,959,784,637,951,642,544,858,374,856,254,329,398,571,
297,012,239,362,680,517,604,329,527,001,093,927,198,271,857,152,088,958,439,
933,190,958,327,704,983,575,448,680,643,871,380,247,300,072,913,912,734,264,
984,590,766,425,910,977,896,068,037,064,577,169,081,481,612,780,038,356,534,
082,972,892,011,452,769,050,881,663,779,776,508,208,573,407,053,657,956,239,
406,960,493,205,002,271,344,400,281,472,066,795,059,773,496,329,737,226,415,
497,998,719,215,800,274,281,744,480,366,904,804,070,926,269,227,522,621,797,
505,850,354,154,333,204,709,256,684,354,338,738,167,030,189,738,094,014,645,
663,199,928,481,645,122,129,038,004,449,238,790,377,279,759,395,639,537,986,
796,856,054,612,769,562,361,618,459,701,248,065,459,202,897,522,573,442,908,
301,820,891,357,660,534,019,085,795,983,918,202,734,669,223,624,002,049,712,
568,459,507,371,733,499,328,006,130,709,175,413,579,553,115,981,036,164,954,
027,897,662,859,082,050,066,673,354,017,954,767,931,459,108,505,500,558,494,
363,954,130,285,586,859,271,567,873,431,372,047,970,217,593,485,561,979,119,
570,105,772,744,400,882,190,811,512,344,133,090,974,624,149,698,193,432,981,
884,571,178,250,053,431,394,652,280,040,026,719,748,472,469,653,945,817,815,
832,092,759,421,730,138,648,365,907,020,056,582,724,394,899,525,261,739,672,
938,196,038,800,461,945,379,310,634,197,102,905,276,046,329,467,916,972,966,
475,796,995,075,940,808,846,493,241,366,980,245,982,012,066,149,657,174,942,
798,538,324,558,915,734,847,082,881,652,723,124,523,209,162,097,672,471,862,
379,729,277,744,259,973,898,279,455,233,419,011,175,076,832,783,286,901,300,
931,596,948,804,793,915,818,886,887,855,841,702,079,858,219,028,559,856,480,
897,871,465,100,709,085,212,663,978,006,730,512,915,481,143,784,558,086,383,
292,950,507,027,551,914,687,947,273,989,243,515,286,546,246,874,852,982,072,
726,382,554,109,338,675,407,145,830,129,223,096,845,569,365,785,013,424,123,
234,755,968,078,902,352,623,842,878,748,391,133,134,784,530,063,448,785,247,
682,268,862,805,994,173,413,664,572,521,936,875,671,089,210,080,870,973,207,
309,019,673,220,933,808,734,940,108,241,603,722,854,818,728,043,761,610,886,
450,851,473,356,413,238,695,403,339,967,901,085,228,736,871,466,385,014,460,
736,859,638,190,077,675,832,465,393,264,740,635,673,160,630,866,681,148,804,
061,841,822,875,424,765,271,038,849,686,539,583,610,410,189,658,077,319,586,
803,783,017,467,872,274,144,687,205,569,202,611,441,590,139,693,461,772,274,
269,255,119,227,052,490,264,313,707,323,543,261,787,661,994,049,984,171,442,
318,965,295,593,322,593,972,750,361,644,508,737,200,077,382,931,076,028,335,
169,059,515,485,789,476,168,691,081,928,421,983,314,473,466,845,923,665,234,
796,210,603,818,254,905,837,495,842,593,280,287,199,210,643,893,176,278,508,
761,078,905,507,510,829,835,190,079,069,001,514,143,982,855,659,149,684,129,
594,211,009,817,822,076,983,569,975,991,250,859,113,002,075,549,636,903,812,
784,075,507,987,058,371,499,773,648,942,331,250,762,297,770,251,823,866,565,
800,621,595,643,161,007,585,953,310,488,361,807,424,280,011,668,789,834,097,
548,060,442,350,125,522,185,321,038,518,958,301,573,258,555,902,590,944,530,
168,092,796,497,575,630,035,074,579,212,374,713,956,123,852,441,956,232,683,
839,790,869,100,925,419,038,648,108,728,458,869,694,695,107,346,231,502,377,
032,436,173,467,349,333,651,705,238,489,723,391,125,939,981,038,753,060,278,
570,262,770,525,424,428,108,163,572,869,169,103,103,613,289,253,399,478,983,
154,358,270,495,627,723,092,052,740,261,908,240,542,749,919,812,722,474,525,
023,003,747,484,909,579,419,965,968,949,761,552,065,673,073,804,408,104,806,
254,848,784,745,017,597,120,524,649,118,531,016,753,625,679,676,573,910,155,
873,222,468,356,188,070,422,251,169,863,717,214,922,559,131,799,907,153,603,
495,699,247,278,507,213,637,575,105,763,671,950,378,441,990,216,694,836,275,
989,895,483,525,900,621,081,694,179,615,058,159,463,045,383,570,200,714,880,
159,549,186,933,934,858,379,886,364,152,429,009,187,705,927,805,201,297,311,
428,596,012,478,237,576,779,926,262,363,786,724,061,849,357,633,529,821,457,
034,875,407,959,502,810,962,986,311,876,747,717,002,862,684,956,717,264,908,
206,820,338,902,510,979,962,453,069,355,952,348,554,587,029,035,303,475,198,
415,718,283,974,872,728,293,053,283,348,003,277,423,209,702,364,196,773,003,
297,033,293,469,126,353,859,653,092,685,798,170,436,990,613,799,801,176,352,
813,269,097,148,953,065,486,523,265,338,179,216,740,821,408,407,361,672,524,
650,844,295,788,369,665,467,959,028,700,042,850,248,347,535,376,064,390,403,
397,720,387,434,723,715,117,322,993,864,086,467,405,574,195,536,125,696,439,
896,675,342,942,277,599,080,713,443,169,957,113,579,414,471,777,335,251,507,
853,469,082,077,416,271,013,580,606,944,733,095,493,671,660,414,382,352,612,
613,956,975,996,041,220,945,229,538,589,982,370,237,642,360,204,415,931,213,
981,040,026,713,267,082,362,090,015,503,956,352,047,413,501,986,744,114,213,
828,744,453,409,080,565,047,471,029,018,041,300,486,421,206,076,340,844,378,
014,182,208,237,590,318,876,318,645,924,559,487,805,461,207,077,671,197,528,
264,155,324,274,969,721,974,716,023,134,459,434,698,757,834,894,065,692,113,
103,402,535,233,775,348,499,107,802,073,207,162,272,139,330,510,281,745,030,
490,477,890,788,192,785,366,383,535,005,086,223,457,453,412,099,790,371,575,
328,099,234,621,295,952,071,146,072,228,144,853,034,241,576,148,470,540,957,
373,008,003,989,113,246,569,256,775,840,053,485,155,005,922,087,650,842,584,
372,641,741,084,477,463,629,660,193,657,028,171,628,112,460,789,622,000,116,
310,837,742,321,093,267,584,971,737,036,420,909,937,169,963,059,585,400,611,
398,923,180,445,981,686,324,702,781,800,881,651,169,432,629,576,104,105,235,
110,049,570,280,242,695,530,381,786,442,605,243,232,167,452,451,152,968,441,
095,530,487,400,259,935,999,843,410,520,521,120,535,833,418,235,128,046,242,
996,196,350,459,007,208,068,325,551,577,624,341,358,418,679,136,433,385,840,
079,158,629,377,348,723,279,868,732,881,231,076,448,722,654,835,035,247,328,
753,689,461,134,799,256,324,489,931,863,891,391,894,161,712,089,459,133,390,
810,221,213,200,363,722,684,785,310,780,835,803,678,454,635,934,984,962,895,
402,522,002,945,246,667,256,491,451,088,326,577,873,572,336,890,856,667,452,
300,930,579,399,277,685,995,779,688,378,632,046,446,806,715,779,246,985,277,
882,496,970,047,339,483,704,096,656,672,371,947,245,143,335,076,407,112,985,
960,043,121,436,021,303,235,901,778,966,288,302,463,077,269,351,051,415,075,
162,594,463,811,243,200,285,631,735,840,166,496,062,981,244,038,779,416,402,
269,593,702,074,108,704,518,947,731,218,107,360,990,591,874,194,157,054,332,
502,857,953,965,189,966,369,975,281,565,160,430,873,658,708,243,131,408,535,
428,407,173,738,434,323,139,629,346,069,879,396,974,036,521,656,294,641,500,
659,616,093,449,815,541,515,156,697,772,297,531,459,850,770,195,637,392,471,
200,804,784,538,088,305,587,466,416,899,756,911,512,784,850,128,121,050,617,
869,097,580,256,867,094,250,370,648,111,159,416,474,976,105,727,893,680,757,
515,911,346,923,282,349,029,256,005,456,604,897,659,812,092,099,702,623,147,
551,356,615,524,009,319,954,606,185,689,751,136,970,050,317,687,729,355,581,
546,648,358,330,964,649,799,079,951,488,836,570,303,999,742,661,581,371,301,
904,173,648,329,413,567,409,813,997,359,706,445,920,505,632,913,697,201,578,
547,331,618,976,698,866,567,050,265,749,860,135,261,770,103,360,931,696,645,
428,457,382,201,650,943,729,465,045,485,288,902,479,408,583,687,346,588,616,
173,538,145,364,790,068,850,854,061,992,269,793,096,353,683,355,901,529,954,
849,484,878,488,764,190,869,989,221,675,929,459,256,943,546,281,816,357,159,
217,156,794,077,954,094,389,503,430,500,871,052,613,691,616,436,627,237,060,
585,595,453,660,435,136,896,547,255,942,845,706,280,451,989,852,923,316,761,
039,619,710,066,928,607,939,180,346,939,574,794,805,752,788,111,672,703,467,
888,387,848,095,810,880,961,453,745,396,575,189,384,389,371,449,292,806,405,
814,466,497,452,158,767,497,159,508,700,983,695,657,573,026,298,183,598,726,
710,936,563,485,764,397,710,100,540,463,019,437,942,466,960,007,302,051,856,
759,633,837,466,049,130,545,952,489,842,572,889,161,055,899,020,946,469,069,
403,063,793,923,575,205,457,342,262,208,198,431,616,046,786,314,144,544,690,
290,336,750,940,986,419,567,678,162,526,240,952,386,030,247,070,660,002,287,
352,369,431,190,219,887,770,019,475,686,030,526,255,327,574,545,115,135,822,
133,760,323,572,267,370,039,839,488,710,087,976,026,415,160,610,954,515,296,
350,257,200,215,437,630,073,288,079,633,051,521,925,592,962,721,514,378,977,
353,614,810,041,587,014,560,507,262,906,406,881,527,429,171,853,538,593,455,
647,204,074,369,828,329,425,877,268,780,219,305,674,010,946,728,383,931,701,
353,760,365,906,806,379,508,436,289,857,603,691,690,044,773,019,942,878,587,
774,130,300,757,850,709,361,625,117,503,850,083,634,634,298,431,200,773,719,
722,917,254,241,381,533,611,618,610,740,203,693,644,320,139,003,707,869,480,
276,138,009,964,957,691,110,526,041,610,813,781,001,926,791,525,537,898,406,
768,766,038,765,305,554,478,088,402,765,486,953,907,834,270,274,900,023,067,
536,829,839,858,694,093,636,285,777,771,365,957,781,637,375,156,513,716,202,
312,054,913,503,422,531,299,649,677,370,908,481,119,329,196,838,777,622,059,
537,419,710,995,517,961,052,613,949,769,094,802,998,692,208,458,516,925,441,
267,341,617,211,948,114,761,774,224,120,357,837,453,273,500,752,641,408,454,
372,820,050,791,441,375,568,098,832,697,944,172,728,167,233,361,363,186,468,
525,074,796,865,609,931,795,134,099,240,836,424,393,642,183,193,245,695,696,
262,620,916,882,998,146,259,107,510,346,637,654,237,155,688,457,442,107,035,
149,711,290,618,948,714,293,787,416,162,389,627,258,788,786,446,508,475,331,
622,714,065,800,559,229,337,109,286,759,782,233,939,190,531,519,204,517,395,
075,977,404,676,194,729,438,078,115,309,215,902,058,395,118,706,276,814,767,
472,207,587,524,165,432,960,111,255,194,280,564,814,024,133,352,012,932,568,
073,782,756,354,111,418,325,318,293,836,831,509,575,185,721,029,013,667,362,
711,057,337,696,571,478,424,127,579,083,819,933,729,490,008,328,348,785,412,
854,590,101,801,575,235,155,346,135,214,327,037,151,639,237,792,750,629,563,
664,947,749,389,666,072,347,030,531,871,707,037,514,556,671,640,827,709,999,
790,502,921,622,749,026,960,144,962,894,206,746,209,155,747,966,901,469,870,
854,307,731,913,628,503,966,309,710,327,857,255,992,663,610,056,914,162,278,
363,406,971,065,743,814,126,963,655,465,396,930,600,166,040,636,772,265,559,
543,813,543,804,810,860,118,453,347,176,539,074,858,954,516,556,182,347,291,
748,618,090,690,876,898,831,626,221,449,174,279,294,177,065,362,085,307,263,
929,125,248,726,270,595,505,171,514,019,853,788,691,593,421,185,672,201,412,
507,280,538,130,445,338,983,039,690,916,181,539,375,393,981,226,260,397,422,
406,811,117,920,401,979,582,926,699,226,820,285,829,353,832,886,451,975,734,
529,291,062,591,899,239,523,464,359,667,120,343,086,915,370,624,602,683,613,
468,722,752,539,979,553,360,106,315,390,919,023,601,972,198,859,924,472,053,
250,845,923,615,159,617,489,564,783,697,317,969,428,205,798,496,690,407,354,
133,945,329,179,478,821,073,938,079,299,966,575,275,614,301,589,146,412,359,
592,530,061,548,701,983,474,630,072,262,559,772,567,505,474,821,656,561,440,
237,747,017,322,824,989,312,619,193,007,410,870,097,203,588,212,085,160,583,
597,932,248,082,552,416,486,193,127,200,849,232,175,506,951,783,766,656,629,
087,545,215,809,133,752,398,676,703,761,393,505,722,538,272,445,197,182,971,
203,189,623,045,059,852,811,415,862,287,545,533,664,180,749,333,113,026,705,
991,830,355,136,283,294,180,344,431,522,360,253,489,692,785,473,947,366,918,
431,572,993,942,191,652,777,821,944,853,039,429,861,425,855,155,297,092,392,
686,011,844,696,029,642,926,813,258,609,718,887,635,206,325,037,120,658,389,
418,958,936,700,188,836,877,275,254,020,309,444,531,378,431,227,272,460,804,
844,351,259,540,165,844,540,781,968,910,205,748,041,291,002,914,542,847,424,
737,097,766,153,167,275,829,988,421,579,977,647,358,741,602,907,064,991,399,
367,410,386,594,871,401,557,358,757,512,501,583,282,079,279,885,190,510,212,
391,022,897,999,694,935,811,394,120,984,591,230,504,575,713,810,692,272,841,
135,023,709,053,209,791,026,603,608,706,993,225,882,628,295,790,594,260,271,
342,744,895,617,926,561,591,781,064,406,881,372,842,288,572,346,415,479,121,
578,419,444,478,734,643,122,138,903,747,145,644,996,482,671,989,638,581,565,
681,980,791,550,213,741,968,413,223,006,941,981,217,547,490,986,562,458,376,
557,438,446,517,375,913,087,268,360,155,921,735,128,669,175,589,159,833,669,
498,902,037,652,236,406,074,216,831,411,166,982,389,607,746,321,806,921,017,
723,792,597,464,063,216,762,311,746,803,412,059,570,098,998,705,739,694,811,
709,064,423,730,976,122,153,914,298,907,239,189,421,286,868,757,513,762,937,
655,177,730,820,319,870,801,622,813,237,541,094,257,467,358,292,662,813,457,
213,857,497,918,916,978,517,652,898,267,084,347,332,789,996,007,922,250,418,
505,589,244,501,787,509,809,562,156,443,745,166,995,736,610,524,471,827,110,
412,871,186,478,166,179,081,370,513,466,830,815,052,837,958,947,551,352,421,
132,055,439,481,238,554,887,272,056,413,621,910,045,662,184,222,316,235,051,
432,569,708,417,673,093,856,806,581,119,202,457,292,177,381,706,757,455,855,
097,149,395,636,001,357,648,291,677,743,448,620,722,134,223,958,976,909,530,
513,874,568,324,329,560,821,647,899,201,753,092,665,221,893,304,553,428,729,
094,482,383,430,581,130,018,253,030,405,405,654,120,480,347,725,819,995,740,
522,299,129,237,394,903,541,394,744,021,634,319,696,847,759,036,599,387,058,
048,176,823,536,477,633,427,258,276,984,852,537,914,909,080,766,259,316,288,
936,268,679,995,661,397,314,152,629,447,052,377,556,256,518,934,266,799,987,
607,898,106,065,912,023,997,636,323,740,357,717,207,606,564,141,421,576,165,
879,855,807,329,084,647,952,562,444,467,213,187,628,657,715,808,792,582,828,
367,472,608,944,799,054,420,405,189,830,044,798,476,630,123,048,215,505,567,
674,830,802,129,270,000,820,354,631,003,305,776,980,504,210,861,779,220,951,
010,229,691,187,937,501,360,323,800,793,170,564,402,177,873,367,116,458,903,
117,195,545,913,049,655,713,477,022,519,013,204,412,825,618,598,462,896,602,
778,153,228,502,969,107,943,983,972,857,402,388,056,829,797,798,032,802,373,
278,088,584,986,091,715,261,838,694,842,219,815,747,815,076,521,083,344,084,
892,298,790,828,800,410,233,744,625,794,413,194,857,866,832,381,013,599,970,
848,885,928,773,600,767,563,226,164,479,811,872,302,189,629,534,042,180,432,
121,792,901,987,978,266,067,381,111,916,161,965,661,276,154,849,150,198,316,
795,393,037,711,337,734,310,215,721,614,766,958,396,139,574,301,559,774,431,
609,945,806,690,890,768,946,254,600,243,722,213,276,687,851,989,610,588,659,
424,672,794,344,817,194,719,011,325,557,242,835,902,410,610,994,650,234,780,
961,484,483,924,456,703,458,791,022,807,436,014,768,220,358,390,664,963,598,
071,308,259,871,850,063,309,910,899,881,589,225,170,979,605,443,688,776,724,
285,234,804,639,073,840,458,695,154,212,378,643,029,170,017,839,387,685,635,
147,871,413,610,271,662,819,900,269,771,846,056,044,736,440,179,023,563,685,
933,494,482,004,303,794,798,433,150,243,106,878,512,358,283,361,662,028,602,
859,580,412,707,062,841,517,618,780,870,789,867,059,706,083,709,856,683,914,
037,784,387,147,870,081,242,425,064,757,057,549,927,385,783,117,470,961,015,
948,062,440,254,081,453,828,015,592,825,339,847,178,342,607,789,637,800,736,
046,436,050,345,640,260,560,120,434,833,731,591,701,846,272,383,276,656,399,
857,584,822,607,209,702,835,375,947,898,637,963,937,495,578,228,139,999,585,
195,763,922,284,666,569,590,993,054,045,658,131,904,728,278,237,615,629,073,
092,389,485,257,738,364,441,185,305,153,847,541,234,018,899,329,027,853,093,
157,965,115,796,773,380,147,816,464,151,768,301,353,475,580,731,384,290,392,
885,181,522,520,873,659,634,956,634,606,893,834,875,136,304,200,004,293,439,
722,324,412,557,922,767,902,903,070,203,143,934,630,748,967,359,246,688,727,
631,508,528,769,914,478,080,350,982,915,839,623,454,992,558,587,404,768,113,
603,711,024,883,751,133,315,086,638,975,377,224,860,579,595,341,359,052,566,
051,654,913,985,113,961,586,395,660,203,520,187,110,046,048,862,453,252,106,
722,605,463,711,066,332,800,792,411,095,945,266,188,971,285,483,336,270,978,
496,131,601,129,425,142,018,841,903,653,135,453,536,333,118,210,794,985,284,
777,195,896,751,170,678,416,542,779,559,518,273,434,480,724,683,697,052,851,
946,052,132,920,748,388,279,728,729,071,175,123,382,769,688,303,768,667,771,
104,195,377,833,728,807,680,290,734,049,613,949,040,265,990,434,942,183,436,
062,155,983,257,212,582,369,997,288,554,485,428,690,362,260,309,814,170,096,
140,345,701,303,184,649,179,578,692,190,897,170,305,041,221,917,264,762,915,
163,973,260,934,345,959,066,319,986,635,029,290,064,670,597,047,664,051,268,
004,548,064,492,666,773,310,681,223,191,933,588,882,840,213,031,150,669,739,
892,720,053,185,425,391,085,567,992,344,018,066,296,261,863,478,266,129,157,
900,064,722,348,319,642,175,034,029,381,033,705,754,662,849,246,393,711,472,
604,260,597,396,254,696,305,598,100,670,362,853,810,742,608,356,631,936,979,
899,883,707,915,939,781,719,044,812,227,458,714,995,355,308,218,801,213,475,
090,855,315,503,199,442,137,112,160,924,234,324,973,047,973,942,772,090,804,
699,226,896,111,653,548,984,177,654,372,788,131,564,398,833,085,882,084,375,
351,798,909,301,349,512,111,075,572,678,271,254,670,187,859,437,105,135,964,
805,858,672,799,543,558,934,438,528,646,051,464,066,005,837,039,383,438,511,
649,591,577,273,321,889,359,440,202,421,313,638,867,516,947,273,221,596,334,
356,640,535,600,141,885,079,903,991,991,580,798,534,831,582,517,921,887,864,
354,101,017,373,143,167,090,870,549,273,118,294,624,063,939,627,253,551,100,
680,024,528,684,823,187,794,352,946,368,038,446,968,042,920,297,146,502,229,
249,429,816,563,550,424,843,541,455,652,646,647,029,662,310,142,991,000,213,
697,513,728,158,409,104,920,705,537,880,549,671,315,054,008,781,578,471,970,
990,604,476,838,734,866,026,406,718,646,209,829,237,852,222,175,433,656,308,
303,480,343,140,028,236,446,931,643,310,510,775,641,410,095,195,423,651,338,
624,307,992,199,589,833,292,247,871,959,085,033,687,459,365,821,248,948,948,
979,761,296,350,543,912,810,299,061,299,372,328,548,095,103,946,108,204,048,
606,421,326,820,660,044,243,463,296,495,596,535,397,371,169,307,296,268,229,
525,533,255,411,008,414,567,967,407,192,554,759,476,242,339,076,009,329,910,
366,600,318,858,137,039,442,938,962,057,224,638,436,182,332,729,462,720,245,
927,999,588,731,242,320,731,925,973,805,280,796,253,529,513,699,417,756,245,
536,751,812,606,499,904,627,741,904,414,437,707,166,012,541,243,430,313,524,
183,526,581,336,841,973,298,501,854,985,606,077,289,702,939,848,828,498,337,
639,947,006,406,197,433,209,372,465,372,071,507,599,573,821,252,700,349,654,
075,116,633,688,176,657,962,686,181,220,283,676,069,524,552,520,240,730,587,
244,159,387,341,762,938,257,132,646,972,460,840,062,930,924,460,030,577,977,
244,311,615,067,777,691,557,482,277,176,890,840,278,210,022,307,402,519,671,
923,415,874,794,714,741,334,396,528,107,680,852,112,723,719,534,450,971,162,
200,959,794,538,513,606,572,315,681,820,965,390,292,834,734,509,644,240,014,
335,396,709,884,561,393,638,403,274,571,597,210,024,322,123,527,870,363,779,
133,996,272,958,172,036,457,022,628,869,268,931,728,759,389,320,164,572,947,
629,146,207,243,684,031,206,131,586,122,935,084,148,398,274,235,833,169,790,
490,711,688,490,875,895,775,279,350,517,212,854,224,248,972,523,051,465,740,
191,835,047,029,890,401,416,385,163,283,553,517,300,929,297,067,092,511,257,
038,220,713,774,658,354,366,463,182,003,389,379,296,658,078,020,071,543,726,
164,443,715,845,561,906,988,175,089,309,874,410,971,454,171,139,823,466,592,
711,677,774,161,318,639,315,372,747,032,342,726,897,841,416,796,526,443,913,
257,671,523,532,129,038,891,536,884,584,260,951,099,730,682,804,515,272,051,
275,137,831,269,478,057,816,388,422,451,431,482,196,880,867,554,080,356,178,
800,094,778,637,466,869,471,845,664,525,820,861,341,427,613,494,220,367,709,
392,162,305,158,894,701,799,168,405,690,475,999,348,466,296,149,781,656,615,
237,638,499,374,333,105,777,506,977,337,609,937,911,803,955,367,501,492,840,
551,263,324,997,896,053,416,559,356,330,061,405,095,151,688,533,828,878,284,
215,760,823,265,022,076,766,430,890,108,559,194,959,633,970,256,164,646,648,
588,700,373,559,330,458,854,473,146,006,142,030,095,109,531,703,126,597,512,
007,916,978,618,595,144,597,088,410,128,482,086,306,010,594,642,562,308,001,
578,168,752,176,002,594,097,994,565,711,462,946,265,297,695,369,033,964,622,
798,997,321,908,812,823,312,064,877,513,519,110,661,160,149,287,721,595,001,
105,665,666,094,916,741,895,122,852,770,369,344,728,062,347,147,223,598,989,
389,988,180,348,631,315,428,414,884,803,389,479,750,300,014,089,603,034,634,
402,419,043,846,740,938,210,380,897,306,718,402,360,110,211,672,448,769,147,
767,361,855,784,633,536,910,166,263,811,033,271,519,582,755,646,583,519,867,
491,445,125,738,184,355,674,026,212,481,115,545,912,227,346,136,247,531,921,
506,141,022,962,192,328,363,476,847,163,240,430,204,094,563,971,381,902,202,
560,807,866,888,596,775,240,531,712,042,815,872,173,202,521,949,952,520,796,
016,738,568,481,358,747,344,715,770,859,822,413,711,079,552,534,604,194,943,
795,780,090,395,759,949,969,896,172,571,473,614,320,493,080,243,728,931,342,
373,472,820,262,668,083,183,080,190,669,159,690,454,824,727,989,671,313,014,
145,346,757,852,956,299,104,620,106,356,633,390,915,302,197,819,991,698,327,
091,979,917,150,032,181,645,372,861,852,532,509,075,030,336,005,903,604,205,
247,137,181,653,082,978,524,815,917,378,149,640,211,518,411,326,664,298,758,
628,022,563,423,516,801,001,711,635,652,470,305,261,839,278,501,956,401,413,
801,177,245,870,030,641,058,775,445,931,409,278,140,453,710,603,394,089,591,
392,674,566,246,043,835,383,490,968,955,904,033,052,347,284,265,555,344,144,
508,929,842,575,047,154,957,616,257,049,146,256,405,139,809,022,675,985,529,
427,377,854,789,926,724,538,277,889,795,832,877,252,133,893,676,969,461,414,
082,815,815,226,836,540,907,256,459,799,811,426,325,729,276,883,578,311,534,
184,712,834,981,700,348,623,459,980,481,481,645,259,607,250,984,080,874,039,
486,415,681,307,316,912,005,494,088,465,423,557,298,853,812,232,313,240,621,
569,370,641,565,697,406,990,705,521,361,030,699,892,501,513,029,632,190,364,
990,868,997,798,233,044,801,164,606,953,599,654,856,912,242,656,656,842,777,
308,935,756,016,895,694,900,061,265,187,565,122,029,199,062,815,861,121,502,
110,453,299,706,806,261,642,300,079,196,417,185,420,706,310,856,104,688,868,
318,149,494,731,080,198,423,698,889,673,815,196,301,696,223,043,698,570,731,
538,675,668,649,097,611,495,583,510,320,242,682,142,213,487,771,370,960,670,
806,937,101,079,759,929,670,328,292,484,578,374,280,699,390,340,722,029,723,
220,090,876,599,157,193,677,090,805,681,083,215,304,353,120,672,433,486,215,
862,925,780,903,417,104,702,609,742,582,205,197,971,132,140,277,203,776,005,
148,965,394,605,868,212,521,935,363,934,721,842,165,905,821,908,869,821,929,
292,442,590,516,210,596,032,821,401,086,745,076,095,058,248,258,427,482,282,
099,907,557,911,649,396,257,736,733,350,661,637,591,857,206,166,854,629,877,
610,954,495,689,414,228,511,868,464,109,558,600,785,990,931,795,755,998,593,
329,717,134,898,217,535,224,746,686,232,190,382,644,752,772,805,478,802,593,
218,248,069,094,636,952,056,985,315,615,265,594,025,608,244,386,320,825,987,
695,113,437,279,947,803,165,652,858,561,824,652,991,724,691,221,553,763,765,
825,890,438,781,294,377,970,325,426,054,850,177,685,991,350,997,079,185,103,
726,626,266,812,234,876,548,405,875,167,366,182,171,485,116,600,085,340,324,
333,491,920,272,008,068,620,042,380,939,720,148,553,660,369,020,354,049,778,
653,009,178,111,718,743,888,534,353,008,533,186,025,905,676,977,089,557,738,
274,110,751,508,808,468,788,621,157,175,269,912,553,849,350,455,025,921,134,
052,132,011,712,477,186,561,351,530,404,942,657,944,690,255,210,810,889,551,
184,652,462,781,273,525,581,407,715,125,171,839,783,723,999,522,405,727,004,
611,827,049,389,901,036,658,173,252,080,986,782,645,566,395,279,223,714,652,
501,608,087,800,214,821,267,023,073,857,168,971,459,317,527,743,546,252,933,
871,430,133,142,465,042,241,174,441,414,577,960,261,394,998,310,003,007,946,
667,100,309,345,775,862,461,576,649,600,611,689,169,516,372,700,893,916,499,
200,903,943,727,162,192,895,720,770,695,510,285,927,614,323,498,987,280,121,
051,301,755,053,549,124,625,977,591,976,564,923,142,801,519,963,544,311,801,
200,859,299,798,580,365,005,477,296,321,657,403,335,330,613,418,894,874,483,
404,853,782,506,518,171,774,430,675,383,605,856,100,319,575,808,170,851,182,
055,137,384,357,804,401,184,261,070,878,949,130,924,148,934,220,546,845,329,
716,556,412,532,743,749,621,902,089,584,389,654,206,505,881,048,016,398,697,
292,181,437,879,995,174,705,936,638,785,864,303,800,601,490,952,789,229,954,
489,382,549,314,374,073,204,110,351,690,745,753,593,932,067,205,250,602,747,
886,681,634,283,177,228,122,539,632,084,219,953,330,248,461,691,355,950,437,
294,653,362,619,820,463,461,052,042,764,689,189,988,707,925,962,315,582,218,
820,344,317,682,725,472,436,358,378,020,072,270,516,099,948,998,563,676,322,
263,956,838,537,381,704,693,849,573,727,105,466,649,754,348,149,818,321,461,
152,706,000,949,641,384,423,120,841,895,023,631,448,191,233,128,334,524,846,
960,298,186,975,401,433,513,997,362,040,278,320,557,454,049,843,585,158,980,
370,424,725,825,470,778,807,090,999,577,951,053,262,759,206,002,928,381,653,
082,531,982,604,422,515,018,008,002,662,036,688,748,062,183,907,957,661,614,
314,670,944,362,002,030,512,334,639,453,601,244,861,940,476,809,270,668,144,
946,116,323,051,793,595,744,089,111,489,432,042,476,893,757,813,935,056,563,
814,749,620,957,922,796,136,747,239,354,539,247,284,053,856,075,233,692,128,
649,813,628,692,390,901,743,649,588,946,920,203,578,745,373,052,164,249,100,
825,090,801,831,217,130,307,053,349,930,586,647,977,971,040,774,696,057,208,
263,953,144,593,363,015,629,426,721,630,007,579,792,434,824,653,076,944,421,
969,688,156,807,938,451,804,830,928,807,925,734,105,865,635,277,334,438,668,
733,523,107,697,396,318,185,034,904,238,007,226,034,182,305,733,957,355,817,
621,455,585,283,743,669,641,072,345,994,709,391,820,124,269,126,015,624,333,
279,503,385,731,347,182,860,018,729,853,494,774,236,488,925,408,995,101,596,
281,964,106,232,339,926,490,318,199,212,951,702,768,728,452,885,148,919,715,
226,626,497,976,918,404,997,402,628,226,809,772,674,086,130,715,902,698,437,
307,536,266,200,556,213,089,699,808,566,728,007,121,390,385,285,591,512,522,
967,449,769,243,324,487,490,890,151,049,840,933,349,062,828,624,548,861,544,
846,973,410,303,968,416,905,740,616,384,853,213,700,939,736,912,280,413,829,
955,811,595,078,679,240,073,249,424,885,637,440,772,573,453,340,650,451,969,
623,429,426,332,181,416,344,225,634,358,924,980,117,057,754,760,462,413,083,
734,351,043,261,685,979,670,909,307,479,170,723,201,120,906,535,840,273,979,
164,436,650,116,925,538,118,570,049,293,660,970,011,716,506,993,764,438,920,
437,830,195,193,977,941,158,968,840,684,290,252,877,221,357,593,704,245,318,
328,624,561,002,145,873,391,190,390,159,040,265,084,490,957,333,084,865,182,
321,831,160,723,699,937,152,120,483,560,105,068,715,442,853,141,491,884,614,
038,811,844,677,425,742,754,304,354,564,724,188,362,890,285,698,906,979,121,
197,554,951,980,969,340,717,895,576,874,846,154,477,302,412,235,925,920,314,
152,124,896,428,545,932,859,000,381,469,982,082,722,974,507,775,915,157,573,
428,879,802,717,234,667,278,971,823,968,808,820,229,048,478,149,650,625,726,
885,529,017,413,251,911,285,198,068,484,521,789,046,459,424,508,361,394,866,
210,127,210,111,597,036,422,242,537,670,452,677,480,974,806,086,354,407,995,
283,761,380,190,768,678,552,904,140,031,380,043,851,322,739,384,878,882,573,
470,930,827,549,564,113,209,816,392,453,376,603,573,696,405,603,544,556,170,
480,765,640,208,837,273,833,650,304,201,831,303,277,375,450,901,168,210,206,
579,278,991,383,077,736,440,177,723,317,467,021,232,357,993,693,627,365,256,
357,314,124,852,543,447,943,287,217,389,881,328,305,894,050,253,929,148,075,
262,014,246,822,782,496,083,037,823,239,133,131,940,079,166,244,781,713,192,
571,831,052,736,235,011,321,947,961,307,513,283,554,016,738,771,678,662,869,
546,198,035,047,481,639,395,205,838,456,550,972,944,954,778,554,320,681,310,
410,913,491,753,118,455,559,953,616,488,754,418,556,379,886,136,778,115,985,
850,904,756,567,005,611,138,376,405,284,127,643,240,011,107,196,428,248,788,
814,504,830,050,673,277,980,976,989,228,608,758,900,338,374,201,082,701,589,
663,685,978,947,184,002,256,275,884,276,992,286,744,250,165,249,024,219,750,
864,260,876,860,709,774,733,941,071,320,772,639,236,269,004,899,758,475,707,
861,892,635,115,534,512,796,994,986,246,377,673,388,393,078,283,792,478,725,
762,613,648,282,925,452,601,462,271,905,250,746,588,587,118,579,348,903,382,
055,773,381,303,560,965,402,330,330,915,421,739,303,904,928,864,505,859,221,
838,697,993,997,988,898,166,216,911,278,636,489,564,985,821,676,706,265,608,
444,502,366,335,139,863,453,370,399,581,650,329,567,611,595,016,645,575,615,
369,630,315,469,023,034,841,939,684,775,086,843,512,586,372,064,116,662,254,
200,492,222,316,730,068,686,967,021,502,671,386,148,854,082,560,618,630,389,
162,987,321,799,672,119,146,999,381,753,180,096,725,251,476,710,547,457,708,
721,956,337,920,823,842,404,420,190,110,420,831,926,888,165,501,623,197,888,
203,528,745,089,615,693,712,852,856,206,741,750,519,890,523,715,532,481,807,
551,734,550,837,506,235,863,411,857,766,175,614,478,257,760,788,972,523,058,
738,506,121,231,125,008,852,232,200,050,526,999,132,987,054,308,008,235,464,
359,021,504,219,098,460,547,100,874,381,122,762,642,248,336,472,790,293,244,
961,460,264,891,537,195,188,738,850,627,368,336,740,678,153,802,114,928,672,
333,754,480,442,804,566,340,072,626,644,545,772,628,396,136,081,119,189,068,
751,585,090,590,592,151,471,847,034,370,741,387,995,259,957,544,659,022,914,
832,003,681,356,579,174,209,127,152,169,759,888,620,348,564,139,978,724,785,
272,312,407,959,798,284,250,198,565,908,312,087,111,217,420,181,230,045,855,
658,673,704,515,011,565,597,261,842,640,913,442,190,742,290,396,173,185,068,
897,563,737,361,574,658,526,798,844,454,184,238,194,668,203,200,387,584,348,
206,724,710,266,147,524,177,753,280,750,176,123,806,437,679,915,679,229,429,
795,815,827,164,671,942,717,098,367,203,632,353,487,416,610,220,460,482,547,
734,004,108,355,894,643,182,669,077,183,350,934,919,829,446,205,296,377,565,
773,428,298,373,033,952,767,898,770,723,428,763,186,340,949,138,354,632,317,
966,371,179,785,845,269,054,893,880,801,590,771,188,389,174,717,359,475,227,
890,506,985,318,842,069,410,502,443,854,564,440,668,753,652,501,791,644,790,
239,353,303,291,788,948,550,244,002,401,117,432,139,643,734,739,182,974,559,
849,224,478,183,095,581,486,499,027,829,803,069,923,146,234,747,902,432,448,
627,298,793,920,418,446,532,342,781,999,676,404,360,671,683,594,012,210,179,
587,565,378,672,342,838,605,355,440,803,906,846,495,727,548,501,915,320,437,
028,815,213,154,758,596,205,321,441,226,568,259,982,085,139,246,772,450,466,
744,337,168,599,461,301,516,174,149,284,744,244,502,292,798,803,043,235,669,
145,479,739,233,448,860,106,995,069,635,939,416,043,676,364,318,584,554,558,
358,316,125,920,801,477,799,069,372,437,301,877,846,166,679,313,833,651,488,
330,033,437,954,524,017,931,235,780,495,239,397,863,903,288,446,983,484,600,
796,142,392,253,106,320,927,426,963,293,649,224,536,644,973,727,182,827,989,
852,966,042,441,274,518,488,502,832,566,914,651,977,731,147,912,145,941,821,
618,058,075,625,023,208,923,459,409,254,020,355,056,931,140,399,779,278,867,
223,157,986,253,243,455,741,845,199,571,721,315,818,217,233,216,721,129,134,
706,476,540,519,214,666,696,708,510,986,942,425,487,834,998,514,433,469,465,
951,791,547,789,034,753,637,652,066,492,972,852,013,422,353,216,509,253,651,
226,336,875,457,446,677,239,412,853,973,413,585,232,770,012,095,127,910,618,
003,184,540,645,607,418,258,089,830,150,209,086,203,394,225,726,511,470,095,
338,955,558,048,052,454,678,660,617,348,665,882,070,842,992,057,037,955,942,
465,062,320,031,944,111,730,655,344,603,405,795,411,230,256,587,973,620,000,
880,019,444,996,278,609,622,949,036,685,936,991,146,600,249,673,785,849,055,
674,011,769,859,687,076,700,274,395,038,257,060,765,386,916,875,130,509,744,
342,326,640,737,428,314,178,838,787,672,599,115,531,802,165,161,626,176,776,
063,265,411,597,146,719,751,050,956,599,619,538,375,131,290,094,719,821,772,
782,832,683,795,297,988,881,170,264,533,898,507,778,436,262,763,319,275,545,
218,952,956,298,859,549,132,523,783,479,424,644,607,863,218,278,626,748,877,
718,724,375,461,004,136,729,756,049,242,962,799,666,400,214,541,831,998,392,
866,051,767,885,312,847,957,525,935,743,650,654,798,286,337,235,315,120,240,
311,305,139,409,167,151,676,624,123,357,582,151,286,094,147,019,739,835,581,
499,973,371,140,245,529,676,353,208,321,030,229,728,000,674,079,548,876,803,
696,277,253,830,623,293,912,726,608,083,657,266,065,604,553,723,758,141,782,
933,679,890,360,371,132,333,798,707,844,093,029,828,980,381,815,995,594,423,
691,368,696,889,188,667,642,383,914,483,500,617,392,796,457,531,313,621,527,
109,391,116,305,123,129,475,085,757,659,878,768,674,438,367,001,491,150,435,
668,204,730,262,607,947,236,552,736,701,956,481,563,098,131,974,540,687,221,
849,311,572,564,238,007,358,451,778,726,326,926,760,068,204,794,274,065,047,
566,016,129,280,206,553,973,983,647,196,736,923,067,547,847,201,154,619,746,
910,831,310,740,521,790,556,835,329,124,476,195,288,377,073,460,242,119,870,
187,705,069,505,694,452,911,768,866,179,344,861,593,311,342,339,352,662,815,
847,807,969,578,283,972,864,336,982,898,917,451,895,738,236,789,498,574,276,
929,206,757,277,586,173,583,940,811,764,630,297,272,354,326,449,435,534,167,
496,505,894,154,215,994,932,042,466,308,742,171,923,729,650,962,301,327,291,
944,456,178,144,098,063,646,908,175,782,766,024,653,660,443,373,211,684,379,
552,147,242,192,077,647,408,363,098,471,595,493,501,992,954,892,830,022,399,
055,382,480,496,098,948,128,434,371,447,597,599,972,970,200,555,580,331,805,
008,808,653,280,331,824,343,850,298,935,656,555,834,770,653,945,374,576,768,
679,041,265,749,651,483,793,192,363,025,228,263,203,722,052,473,604,724,322,
290,846,791,204,935,257,979,286,745,796,598,453,042,949,876,130,866,953,860,
872,233,088,156,865,904,328,213,697,502,173,787,230,572,709,232,023,475,370,
672,545,898,330,424,749,997,307,251,954,824,665,032,067,732,010,630,211,591,
550,677,681,643,674,062,088,243,152,815,689,800,462,870,728,279,120,033,348,
705,724,725,140,431,963,138,195,624,482,812,658,590,169,388,198,483,592,717,
024,817,289,320,729,839,613,659,899,002,993,014,725,236,781,695,813,304,905,
029,925,095,315,914,620,196,718,024,590,565,926,762,515,252,409,806,263,176,
897,909,350,322,015,615,482,302,859,956,154,212,828,664,269,378,731,968,099,
819,486,520,673,857,922,563,889,670,940,892,015,801,193,350,789,803,080,276,
168,340,480,232,869,207,809,370,758,584,175,253,234,022,441,081,078,211,634,
979,210,686,690,412,782,057,464,608,692,355,542,885,135,236,164,578,191,905,
699,759,255,257,021,974,154,705,480,077,256,165,525,514,183,781,594,755,800,
494,288,818,271,728,671,352,584,346,468,643,333,060,398,723,795,528,124,215,
397,034,396,400,076,529,228,035,207,644,547,943,474,366,508,514,032,592,402,
345,163,882,286,305,406,568,191,214,644,689,372,184,890,377,546,060,708,525,
399,305,472,945,357,242,854,087,704,940,481,437,691,918,394,066,985,540,049,
377,659,750,071,067,241,618,177,675,338,381,493,656,344,891,166,512,157,414,
496,436,364,888,986,015,071,999,703,349,563,500,443,626,671,304,664,059,784,
896,748,869,781,239,021,746,931,836,409,191,394,446,924,393,491,295,511,566,
142,126,653,188,720,356,866,193,504,872,095,485,714,255,720,514,921,952,703,
026,188,572,873,046,119,179,630,409,115,504,996,736,617,241,032,521,547,645,
333,064,617,477,727,557,629,614,080,472,624,060,746,432,084,636,912,471,057,
526,762,694,934,611,828,750,393,936,218,369,965,226,240,926,092,415,865,915,
178,409,125,651,278,492,289,908,822,817,779,425,474,782,844,904,014,708,860,
516,485,371,212,413,466,816,213,277,507,525,736,934,486,281,827,698,367,085,
116,057,557,454,595,608,305,199,319,444,982,635,365,529,296,889,750,766,339,
552,356,963,637,618,005,751,701,504,020,331,277,349,874,127,593,393,808,238,
928,874,763,267,891,089,769,993,959,216,751,674,515,065,510,486,888,738,136,
112,466,682,434,249,476,596,093,651,639,608,389,711,538,573,672,193,383,782,
251,955,092,115,585,334,305,199,989,068,729,753,504,978,051,189,056,030,865,
835,001,741,239,158,549,250,256,444,861,677,460,919,694,859,914,323,348,182,
305,623,929,172,188,065,981,475,017,863,648,393,279,439,250,269,441,814,676,
269,584,130,284,691,464,411,540,474,982,531,589,965,823,931,316,777,659,287,
181,651,782,124,333,412,595,007,572,953,175,168,186,038,825,716,149,348,269,
147,523,100,715,682,926,237,193,573,817,609,061,483,125,294,776,423,478,822,
447,067,314,833,279,904,443,175,984,057,721,651,676,654,600,897,781,143,403,
433,150,152,783,206,689,516,465,434,658,866,538,529,229,136,047,761,539,529,
194,569,697,952,340,584,287,170,277,670,070,007,072,505,226,914,042,453,123,
226,248,957,372,026,956,544,419,585,062,084,634,517,520,744,129,613,681,368,
145,864,176,890,908,460,374,366,772,337,397,189,046,513,377,679,815,583,076,
614,765,629,005,587,453,035,288,651,253,612,310,699,869,961,664,250,604,417,
351,728,436,780,110,907,344,156,270,388,804,290,863,147,515,626,510,307,598,
563,765,448,024,779,324,622,774,870,191,286,530,301,156,267,943,790,408,632,
330,579,035,042,202,494,155,061,170,065,305,269,989,138,458,785,420,938,075,
991,949,235,156,934,725,088,510,821,119,603,034,974,461,574,069,695,122,312,
269,679,965,648,068,696,858,293,222,648,036,836,710,852,344,259,523,020,447,
477,442,283,884,826,492,650,735,032,273,877,577,666,093,556,054,796,366,224,
924,932,681,295,733,827,061,336,155,756,384,127,106,148,963,062,841,670,630,
169,370,566,337,772,491,426,268,628,982,254,731,740,254,642,719,799,428,893,
212,416,740,714,694,475,181,742,032,129,398,505,880,522,494,861,178,284,383,
674,866,671,252,345,928,713,288,998,886,882,344,249,405,317,267,788,021,103,
248,435,139,415,882,207,427,985,207,781,381,748,790,923,358,232,690,322,120,
848,432,354,928,690,124,028,701,802,996,936,816,695,221,602,224,896,360,077,
893,998,874,257,659,866,112,586,411,300,764,518,722,313,848,275,454,820,785,
907,897,754,362,677,405,871,290,796,187,936,515,360,138,290,502,694,147,803,
532,026,352,160,129,838,102,266,242,021,057,057,837,292,059,855,353,417,304,
411,745,302,212,629,012,204,718,958,820,221,154,587,877,405,922,858,256,596,
919,767,811,466,936,674,725,025,440,606,862,210,259,075,896,921,971,338,191,
073,849,582,485,190,518,409,557,640,075,226,309,582,387,665,229,482,163,000,
055,012,996,220,105,291,875,852,746,118,960,445,300,969,543,679,630,773,485,
289,175,165,484,216,076,746,001,807,824,703,280,324,754,434,286,321,802,620,
923,302,331,145,933,769,960,890,403,878,958,868,592,673,715,772,802,924,734,
305,081,943,014,129,465,305,501,695,399,971,694,631,625,809,777,389,593,140,
271,886,637,139,527,886,857,717,373,302,456,314,584,262,855,091,124,413,546,
426,125,431,902,578,047,153,054,245,534,278,167,860,400,630,258,970,328,149,
852,621,509,269,558,892,442,848,786,883,937,587,408,650,080,367,558,294,043,
167,464,114,148,401,137,607,260,233,692,159,771,870,240,714,131,623,995,551,
341,653,009,900,363,090,938,011,206,992,015,011,736,765,010,664,434,657,621,
220,127,158,494,062,116,800,442,190,371,185,879,796,080,761,426,260,914,832,
828,101,967,590,940,522,719,690,917,101,456,455,520,257,402,561,518,726,759,
091,880,078,690,765,379,350,814,436,578,869,817,183,058,322,990,733,988,443,
549,874,401,168,041,414,752,253,819,710,006,089,256,087,305,793,176,348,368,
618,390,196,253,019,928,166,839,492,078,533,429,834,320,393,113,715,040,544,
794,753,202,075,343,101,365,614,532,232,690,739,915,032,603,134,947,099,302,
275,361,318,314,357,859,539,982,124,234,791,534,418,865,393,691,514,627,236,
850,710,758,186,917,768,179,801,798,673,631,364,296,824,671,047,601,187,271,
645,575,759,749,234,707,816,232,534,153,742,541,754,837,262,766,317,233,539,
271,609,737,031,291,364,674,169,679,465,097,291,698,076,357,058,482,769,993,
443,061,054,165,389,092,718,392,962,235,147,326,143,920,621,289,743,772,642,
906,747,902,527,313,476,625,507,685,855,189,747,435,620,938,039,624,945,373,
823,080,558,406,754,527,234,584,087,122,275,608,689,310,384,697,320,092,638,
174,177,459,643,781,269,210,983,008,604,095,667,101,270,699,113,606,468,727,
955,167,437,960,909,263,775,473,118,294,292,443,026,842,485,417,650,249,206,
187,371,228,648,602,548,153,995,687,984,586,965,702,525,606,934,051,229,492,
927,837,423,986,888,816,317,207,676,934,876,994,635,568,402,115,144,618,902,
645,241,878,321,671,064,426,028,331,838,447,203,491,755,198,151,922,309,124,
032,356,568,647,966,972,109,186,117,191,937,051,029,662,862,702,007,934,745,
319,103,895,564,199,018,490,558,086,532,768,956,908,831,476,979,510,901,945,
944,607,323,985,231,338,375,503,418,246,618,406,388,324,431,768,316,070,266,
488,733,571,297,231,296,869,465,392,238,183,242,680,431,065,235,152,563,264,
624,263,938,893,440,688,449,148,780,612,095,584,095,027,992,088,385,045,244,
509,452,274,102,280,665,530,370,014,654,655,587,681,670,614,391,026,268,514,
629,289,079,306,718,836,955,866,841,373,940,740,803,712,747,724,119,189,857,
694,679,696,636,723,392,545,763,493,088,186,587,703,953,263,084,286,071,735,
939,264,387,804,730,596,962,789,735,053,873,908,318,315,362,735,666,733,897,
197,741,825,996,697,704,272,411,660,469,753,608,762,662,815,001,798,544,162,
720,736,023,741,999,272,813,166,969,801,738,444,271,940,765,885,404,617,827,
369,229,496,576,183,522,629,409,969,417,312,148,888,238,138,822,191,080,968,
012,185,640,202,286,707,538,682,115,493,773,915,434,499,487,423,305,728,406,
403,575,606,786,996,331,327,726,879,180,722,744,292,577,159,466,842,653,348,
964,793,695,580,310,712,610,130,451,860,467,519,174,466,817,158,893,150,445,
053,239,246,863,540,740,480,906,232,424,440,018,042,372,717,456,037,955,274,
669,678,777,503,832,001,008,470,528,295,311,596,402,968,080,328,294,364,261,
037,561,673,856,895,920,142,782,512,059,900,147,109,462,930,509,017,077,085,
756,961,968,705,175,729,692,236,639,785,746,717,937,436,285,089,442,768,318,
251,258,574,398,785,155,125,142,738,919,844,961,202,292,941,925,903,385,969,
690,972,131,695,215,676,525,037,970,557,500,505,938,499,729,432,779,139,386,
750,102,679,697,194,939,778,528,382,923,983,805,215,076,895,197,963,698,498,
745,880,739,772,518,908,421,079,522,295,259,116,169,138,883,462,635,682,185,
663,587,981,875,784,314,503,082,589,055,304,845,138,035,341,904,377,025,930,
361,186,315,920,669,856,295,540,502,590,495,354,055,893,585,997,068,049,473,
936,936,498,294,212,089,984,149,839,521,965,693,283,909,107,054,811,990,678,
098,485,870,837,899,947,183,704,238,639,603,231,720,020,573,280,269,088,278,
575,836,501,878,001,282,815,737,893,087,075,288,799,965,322,015,929,147,250,
949,476,492,201,187,372,911,286,096,539,623,677,865,245,663,330,398,042,252,
311,514,926,447,852,676,269,064,132,818,063,188,389,182,387,501,389,649,161,
596,659,006,962,971,954,298,044,916,742,481,654,723,103,858,263,655,580,563,
126,349,693,999,353,256,713,017,656,229,008,345,090,315,045,216,761,419,068,
371,169,146,257,808,786,874,538,291,669,612,391,291,464,881,836,152,502,833,
584,936,947,693,847,535,913,878,547,989,381,405,196,150,226,837,306,639,988,
065,543,911,709,932,831,248,239,586,010,356,365,868,131,973,974,545,200,164,
522,026,116,879,909,421,465,714,424,943,088,792,406,368,454,222,623,777,449,
179,930,409,863,929,624,373,899,145,720,730,932,460,231,626,679,067,005,740,
037,820,673,983,750,258,843,969,176,991,130,764,937,973,643,097,937,367,297,
841,016,895,573,912,909,553,063,880,868,396,766,039,820,079,071,387,887,579,
574,413,859,709,737,860,923,736,811,641,401,419,156,818,794,295,512,511,671,
098,488,868,142,051,803,340,850,512,026,983,021,439,191,537,274,213,563,771,
121,335,314,334,529,336,438,728,151,826,683,506,029,183,232,587,957,369,497,
502,643,754,184,271,190,065,603,683,997,911,960,584,946,794,386,033,891,135,
311,935,107,687,228,449,166,884,957,564,917,584,314,559,660,641,773,921,783,
413,254,735,675,071,439,743,455,006,125,148,386,484,117,770,260,434,800,886,
977,314,670,463,062,555,038,564,084,162,006,802,078,738,203,855,735,710,867,
955,406,668,130,198,046,128,697,216,113,777,324,242,801,429,209,856,890,028,
008,975,640,061,774,677,294,895,640,387,594,419,867,580,417,408,491,738,399,
565,058,071,768,169,479,321,384,644,709,634,737,799,656,881,904,460,206,903,
539,215,656,156,968,061,197,651,002,641,224,713,668,528,501,819,376,473,411,
663,640,454,335,970,164,755,341,072,432,615,715,178,162,085,487,379,121,640,
357,439,647,131,657,453,052,013,965,355,738,578,007,663,932,849,945,870,071,
654,434,196,085,604,337,594,101,150,927,219,360,772,858,118,970,751,917,275,
856,639,207,415,042,019,242,186,593,272,406,530,016,553,801,926,816,176,092,
912,330,686,687,418,554,526,705,221,502,659,365,216,515,165,062,502,651,614,
177,694,891,936,034,593,799,962,979,204,204,592,393,375,348,136,591,383,709,
238,975,790,781,668,803,558,524,262,582,446,308,802,870,501,299,452,974,373,
303,165,715,828,894,134,891,036,594,396,681,342,727,272,112,839,606,460,312,
436,075,537,834,232,356,613,867,254,008,093,737,373,862,243,633,682,629,461,
533,476,931,387,093,508,444,035,135,067,350,563,447,959,968,280,621,553,605,
389,073,245,943,839,447,116,160,793,026,406,853,547,758,177,901,682,283,189,
002,818,479,243,754,643,243,024,930,943,276,489,465,123,598,844,273,768,122,
650,982,192,682,096,708,054,228,286,648,493,709,064,595,575,051,789,984,633,
357,295,660,599,982,465,796,239,828,109,612,925,251,209,994,649,234,533,381,
802,057,192,152,870,487,281,302,621,161,216,969,279,755,886,532,119,568,287,
316,303,147,969,611,525,288,450,954,017,447,714,239,684,194,144,421,592,577,
059,284,123,861,843,957,049,357,072,534,208,067,892,776,433,714,891,737,071,
113,293,330,851,753,789,356,688,187,460,366,682,615,910,293,536,662,876,962,
117,740,885,767,206,680,946,815,346,583,214,626,467,898,658,052,670,557,228,
240,582,874,228,029,040,607,044,023,503,123,408,190,452,665,975,766,034,308,
956,702,266,252,831,107,997,543,457,047,881,665,860,548,575,023,761,889,667,
917,506,799,931,040,681,618,884,496,195,481,460,077,700,378,417,879,403,507,
549,255,329,362,421,464,108,204,877,421,685,394,252,600,513,126,143,026,426,
612,016,223,429,139,710,867,638,711,209,437,535,218,597,482,289,856,729,772,
580,250,748,841,715,830,581,968,199,898,079,543,880,240,597,179,006,843,538,
173,706,578,185,793,793,492,377,088,693,086,999,217,283,368,596,420,359,390,
408,474,729,146,284,181,322,906,499,705,676,455,927,532,210,761,092,224,174,
873,025,801,866,808,160,890,708,347,486,183,167,355,298,952,262,457,356,655,
788,943,757,023,215,750,973,775,450,484,483,209,594,623,290,895,212,917,839,
132,199,041,770,461,502,562,838,088,662,902,159,126,137,280,873,306,982,876,
643,890,899,435,682,129,895,184,869,395,464,601,344,363,662,806,029,670,218,
598,818,468,026,598,182,798,908,438,762,616,447,992,372,454,925,100,859,016,
642,214,724,824,313,455,144,194,544,545,674,994,929,551,676,347,473,939,966,
501,578,876,928,959,904,623,909,136,874,389,337,502,401,737,141,058,084,942,
658,059,421,734,969,167,171,275,266,161,969,905,375,501,115,233,338,733,057,
650,680,806,491,367,069,193,140,889,243,550,678,610,055,354,393,415,396,466,
842,482,531,971,616,620,900,366,317,976,647,630,821,428,310,119,590,482,476,
521,781,272,811,498,328,588,208,516,625,659,371,806,546,736,039,008,381,425,
602,793,710,768,329,740,516,648,285,764,578,622,035,254,332,357,847,018,757,
648,356,895,651,430,679,963,607,122,897,125,046,098,888,004,928,879,039,058,
448,498,422,991,465,287,411,979,423,807,943,085,434,515,420,336,309,651,816,
261,178,302,793,499,435,991,033,081,171,033,593,974,150,837,762,390,991,823,
162,789,635,894,249,971,987,232,395,179,740,715,498,288,240,814,239,412,592,
747,300,933,450,280,915,725,834,620,734,300,680,015,699,985,659,308,125,632,
789,925,227,433,535,408,171,813,999,837,859,397,067,946,690,516,596,845,662,
224,674,018,971,415,889,676,798,372,094,119,215,632,793,808,410,908,932,276,
662,522,528,203,662,073,219,882,090,777,183,524,800,331,886,162,931,534,036,
720,483,732,035,719,709,523,477,082,646,723,977,515,523,224,702,112,952,489,
144,910,561,021,742,710,219,999,115,603,379,166,837,454,685,683,713,788,637,
033,323,214,334,914,038,212,153,351,503,729,650,116,689,368,062,789,458,175,
192,474,517,605,495,204,006,107,389,280,643,942,410,961,537,248,127,038,515,
421,264,357,958,717,443,294,273,230,282,150,016,594,087,124,784,419,742,971,
206,728,961,816,118,528,874,973,301,953,111,766,356,378,120,153,701,653,137,
115,817,558,605,709,230,946,603,694,401,430,551,885,107,876,653,719,726,213,
873,657,666,208,046,932,330,191,699,154,814,021,303,553,980,565,305,760,709,
160,931,589,157,668,195,704,589,743,945,576,008,080,760,578,991,507,127,569,
625,997,425,861,923,565,301,007,705,721,280,048,702,830,545,766,589,348,064,
179,453,368,107,870,366,208,087,531,570,115,449,635,433,889,645,616,938,156,
213,201,347,808,227,914,547,501,358,430,013,853,263,357,758,943,149,528,872,
370,434,012,101,452,245,995,489,812,214,669,061,018,763,705,034,457,258,213,
276,163,901,050,285,680,109,843,222,513,640,405,681,716,961,142,305,862,188,
154,968,346,824,368,322,552,407,231,996,200,521,400,268,818,580,397,602,309,
386,112,539,156,825,525,533,660,149,525,112,315,534,456,528,164,585,874,641,
351,108,908,761,082,639,142,709,514,312,775,518,531,436,297,011,015,893,375,
121,094,655,489,300,007,443,676,477,375,455,478,295,273,468,659,654,036,482,
629,375,965,320,166,860,223,907,613,618,817,116,028,372,255,983,593,012,394,
068,826,133,785,718,834,754,620,417,672,966,098,509,373,063,098,052,785,963,
640,286,667,216,906,947,774,427,568,134,867,383,151,396,759,421,826,043,895,
897,099,144,216,436,620,895,608,002,982,750,002,243,054,984,141,850,712,214,
295,806,365,570,907,990,385,840,346,214,817,120,563,558,773,607,005,224,562,
738,369,732,104,783,888,440,932,399,417,628,474,837,681,500,952,493,525,450,
496,050,003,284,267,063,431,766,877,503,912,443,039,433,478,151,848,290,122,
486,768,033,363,255,613,615,087,328,726,588,610,571,221,770,286,834,845,845,
607,491,179,733,825,458,789,446,183,451,188,076,859,348,455,741,557,342,643,
821,708,063,486,746,545,949,324,884,649,344,975,395,259,315,655,850,389,802,
998,345,673,175,479,313,259,182,938,881,309,076,234,835,911,577,139,421,895,
913,034,011,736,466,211,426,554,076,366,940,746,101,085,891,938,153,892,574,
274,128,359,654,054,053,326,732,005,722,512,602,667,217,400,094,691,287,878,
625,847,437,228,424,367,231,754,938,862,159,986,887,911,668,924,784,935,977,
024,570,832,155,998,121,801,422,385,253,374,763,569,680,914,017,454,813,221,
768,139,978,176,274,504,279,651,439,867,952,267,553,105,853,235,046,465,998,
188,741,279,670,609,573,787,585,359,114,635,816,492,760,649,569,539,498,913,
363,327,966,317,108,592,366,404,533,545,683,224,681,220,148,416,777,094,058,
574,243,075,028,326,042,225,243,927,358,826,546,993,020,176,864,710,192,667,
075,448,499,543,937,070,363,046,797,186,596,196,372,207,536,782,853,111,868,
067,376,989,262,847,094,160,725,381,236,299,807,517,045,188,954,658,686,176,
754,043,579,621,944,121,830,109,691,078,511,772,449,664,707,125,306,780,821,
257,464,960,550,757,390,583,312,025,088,547,171,644,249,277,314,622,036,678,
100,020,900,486,303,104,968,359,689,804,815,421,037,912,269,739,083,904,146,
509,594,749,158,979,369,782,776,801,933,533,647,461,683,858,408,168,838,672,
757,809,089,112,694,561,130,939,272,280,406,756,440,696,822,341,003,101,219,
448,198,777,028,673,740,324,661,063,956,832,811,158,611,711,423,249,228,515,
404,926,926,598,786,628,873,817,633,125,665,267,870,316,413,699,752,767,998,
101,866,888,318,409,740,867,431,284,514,031,497,074,763,563,154,528,568,298,
618,014,392,570,209,060,610,824,184,294,153,574,443,309,134,190,384,629,626,
902,926,053,548,932,066,459,428,324,833,163,292,433,714,636,503,365,911,653,
664,655,812,793,636,331,379,395,195,320,540,334,450,867,499,212,497,822,948,
173,113,050,702,362,664,829,464,619,014,434,431,865,761,267,060,962,285,707,
986,881,280,889,918,561,844,838,744,703,610,155,795,103,815,258,587,725,756,
839,491,621,355,343,003,657,943,474,813,469,455,291,605,287,408,404,101,563,
516,246,780,335,843,121,965,028,747,502,846,893,716,597,296,764,860,769,565,
835,356,376,328,394,472,354,078,107,800,249,747,016,415,994,792,183,781,287,
433,051,540,132,700,698,303,599,612,530,184,343,070,677,856,778,657,325,610,
805,555,450,284,562,450,630,951,120,563,194,895,983,888,927,625,995,281,362,
216,716,496,948,584,307,365,497,524,946,601,199,624,956,616,674,209,156,190,
922,328,156,206,408,965,685,152,020,003,257,669,397,800,141,148,999,472,436,
946,373,509,648,570,864,176,875,373,852,372,944,817,668,750,510,261,284,933,
623,779,290,613,383,341,329,698,139,533,231,276,453,049,119,872,960,947,916,
816,370,432,607,767,202,494,787,611,372,748,682,542,845,496,619,922,238,454,
283,808,557,521,805,594,532,224,801,372,520,131,602,814,114,324,942,586,012,
294,764,222,462,634,598,022,997,687,983,168,547,806,312,838,008,238,522,777,
843,698,780,254,747,329,530,979,968,064,087,760,475,354,140,141,093,630,322,
315,576,517,252,694,510,000,668,028,398,418,138,254,084,625,063,413,986,791,
689,621,143,122,076,303,849,253,847,058,778,707,011,589,241,380,726,581,949,
348,023,805,304,389,924,550,830,494,951,877,439,601,400,774,541,894,925,549,
719,251,024,882,687,601,024,041,407,861,386,790,170,321,745,908,652,951,697,
232,208,736,511,232,637,457,691,858,610,132,138,536,215,475,207,193,063,619,
544,256,908,677,887,583,068,931,733,177,342,349,713,025,968,873,941,692,326,
517,713,672,314,324,007,695,384,663,693,265,165,111,497,794,097,494,194,250,
624,835,726,902,150,243,522,910,617,894,458,377,390,035,815,019,264,238,696,
821,360,997,771,257,799,248,267,280,581,882,990,212,176,972,300,787,378,989,
036,448,812,239,828,960,529,784,944,883,159,900,541,642,257,870,973,480,918,
356,015,123,077,089,143,065,076,468,928,521,963,454,737,481,795,172,395,116,
140,084,546,304,923,508,388,138,920,438,709,771,013,673,779,239,444,715,650,
307,540,369,450,188,744,315,460,857,424,091,619,752,268,402,508,417,097,134,
121,373,741,106,465,592,629,166,769,264,501,039,056,241,836,139,466,877,121,
620,809,767,500,531,305,059,302,366,061,476,948,233,814,610,595,864,819,865,
143,643,130,992,164,908,059,442,931,008,333,418,660,165,507,809,142,118,704,
436,833,786,581,212,375,109,600,686,921,159,571,333,758,754,418,614,126,391,
895,758,947,315,105,950,350,699,164,438,145,780,219,143,974,337,804,057,601,
802,987,765,923,296,645,593,682,510,442,437,921,766,921,716,362,879,807,681,
538,444,733,686,927,295,245,929,782,359,958,574,549,594,620,866,756,808,812,
528,276,372,849,742,004,700,009,094,128,588,754,334,586,624,087,725,600,434,
184,124,739,040,432,770,029,234,692,736,914,918,569,380,924,304,663,105,263,
436,523,309,088,870,914,774,945,791,629,830,448,626,206,743,864,989,334,151,
220,320,438,074,101,491,852,697,260,215,642,207,961,866,935,716,355,498,499,
538,206,392,866,395,287,395,979,007,450,348,410,897,071,024,381,856,329,366,
287,796,990,305,776,065,579,873,120,687,047,147,462,018,388,285,053,653,482,
982,542,820,095,725,907,599,443,061,245,486,667,368,004,978,919,525,030,503,
873,163,431,704,447,463,854,419,594,463,698,329,353,590,089,982,166,819,219,
383,640,463,245,548,058,682,091,775,200,438,876,820,465,679,165,799,170,809,
224,820,597,373,722,631,718,211,579,248,589,896,569,847,001,375,961,321,540,
198,604,719,946,582,619,514,884,511,183,537,351,198,488,883,459,084,836,524,
775,340,389,684,804,952,380,951,487,999,067,698,150,655,447,875,677,512,076,
621,471,754,382,850,925,667,158,067,673,862,768,664,890,021,667,701,956,173,
765,279,255,573,410,608,425,441,993,345,425,608,533,167,926,390,449,110,901,
176,110,443,579,268,818,139,376,608,140,676,159,101,622,556,711,537,195,134,
110,727,054,187,781,100,080,631,483,899,091,933,795,133,855,309,699,922,868,
024,325,407,640,030,873,853,741,647,985,369,118,124,963,456,941,899,489,777,
591,778,743,412,025,611,586,750,317,285,782,472,510,078,840,477,810,292,101,
800,693,398,879,949,543,283,625,718,923,957,386,057,332,073,326,054,435,979,
543,318,752,446,141,454,119,263,185,558,836,941,615,350,859,052,864,981,975,
813,242,454,142,675,061,777,184,620,891,120,104,503,664,702,326,009,832,732,
328,305,834,171,391,184,848,303,826,535,045,514,424,792,758,783,489,876,745,
125,676,299,404,806,417,817,140,587,401,671,234,932,497,040,190,587,112,258,
612,040,859,441,701,928,315,685,895,342,891,797,271,181,166,904,314,105,825,
676,166,332,524,301,174,548,386,633,285,560,037,882,891,804,471,072,362,705,
278,625,208,245,523,119,537,909,588,109,856,569,004,792,383,115,626,411,078,
938,447,563,039,104,018,683,385,003,751,025,521,618,742,458,319,671,486,001,
054,874,624,572,057,830,542,021,347,988,659,924,856,950,264,525,059,709,873,
257,936,091,780,122,953,955,070,131,390,616,574,285,922,599,925,512,607,906,
794,564,807,820,351,821,643,530,268,381,394,135,093,427,445,516,801,183,727,
045,137,707,841,868,764,421,128,608,171,918,768,437,635,211,988,364,553,734,
298,776,774,697,709,118,651,583,178,293,325,783,848,398,682,343,704,990,941,
622,326,369,220,781,635,604,685,701,705,931,327,146,815,494,995,521,261,581,
313,554,953,818,420,321,527,373,190,626,586,009,133,714,710,656,938,028,368,
262,630,798,991,579,734,224,693,038,371,966,328,499,687,819,423,485,388,810,
987,197,160,971,673,673,587,417,044,367,949,028,790,745,405,316,809,811,214,
948,538,136,120,113,729,006,806,247,413,127,341,442,727,774,890,828,805,058,
875,110,626,973,458,862,854,015,982,673,422,774,551,144,749,696,019,609,301,
961,107,642,684,874,929,770,467,310,437,550,103,369,599,934,918,140,639,047,
153,092,775,177,207,087,499,507,350,852,000,425,771,582,647,846,373,183,719,
165,946,478,152,219,270,621,037,517,642,996,305,906,461,180,230,169,916,621,
173,863,133,376,891,636,839,114,365,829,411,853,679,972,125,637,192,429,396,
619,559,299,813,380,810,371,109,203,473,730,696,009,618,175,202,589,057,289,
589,213,047,948,097,838,638,918,034,265,257,621,084,394,244,788,901,186,300,
158,335,921,332,987,892,055,650,532,585,056,804,435,000,383,685,110,121,294,
916,702,760,019,991,291,121,943,390,859,659,865,714,894,735,535,949,667,272,
028,886,612,113,120,336,078,101,266,013,985,521,006,842,221,101,738,746,521,
283,102,990,774,776,913,426,198,331,229,631,796,344,097,528,027,164,432,539,
696,230,129,276,703,973,041,625,777,510,782,797,334,932,188,700,899,746,213,
450,288,464,885,901,915,542,374,716,724,332,148,506,760,899,594,659,497,681,
500,933,168,759,623,192,858,046,135,357,758,585,133,680,042,906,568,307,699,
711,005,939,896,232,060,870,062,487,527,850,063,986,679,237,541,657,089,055,
296,968,323,942,419,381,020,810,972,975,525,476,768,657,476,519,097,351,025,
443,911,216,483,808,441,401,193,746,358,490,837,466,266,052,193,811,285,016,
322,828,454,928,830,452,702,016,068,558,812,919,343,936,052,121,916,105,404,
559,331,296,105,403,251,497,035,330,868,401,556,890,150,865,195,447,410,704,
209,015,529,055,778,572,710,713,207,475,636,570,247,702,762,218,992,504,582,
161,262,743,404,311,673,985,196,708,988,306,219,295,823,059,950,580,566,090,
459,657,322,478,704,449,986,634,317,888,545,079,941,448,032,553,680,589,184,
668,620,156,960,108,861,173,772,457,199,505,865,583,197,894,467,338,474,391,
321,918,107,288,354,057,309,196,210,964,632,804,195,746,770,282,854,248,847,
311,072,088,088,065,268,224,962,174,638,856,394,353,030,121,503,772,347,643,
288,763,308,794,836,340,429,353,480,606,248,622,760,677,070,272,975,874,101,
718,646,365,587,369,478,444,504,216,183,321,534,755,312,161,213,120,798,912,
279,920,746,388,826,788,512,021,843,233,639,229,373,697,321,201,583,575,131,
130,463,346,312,645,503,134,044,507,390,855,874,810,683,984,222,912,259,643,
263,434,271,911,808,457,469,162,837,968,247,162,799,964,037,340,536,168,274,
034,678,545,765,800,565,717,341,731,805,954,442,237,755,724,392,691,057,837,
544,791,521,880,023,923,224,075,143,358,605,921,869,959,122,426,349,609,886,
719,198,704,777,787,161,592,785,135,585,344,799,901,467,914,275,159,705,764,
811,756,967,362,895,734,838,577,140,209,978,319,209,632,661,782,590,316,562,
947,719,727,975,234,184,921,736,578,374,417,065,886,072,011,235,185,690,019,
607,101,964,103,151,738,863,023,241,247,901,556,861,360,278,292,788,766,550,
980,411,629,799,481,537,603,072,129,284,836,394,827,233,558,124,935,549,961,
645,291,506,702,498,756,014,418,809,057,094,312,809,255,857,126,666,620,399,
170,261,797,925,364,832,156,658,327,592,908,708,424,924,647,611,407,341,950,
288,114,886,617,039,962,307,813,479,481,515,466,512,310,749,916,985,549,185,
185,253,219,785,224,260,214,391,610,904,349,440,048,079,457,846,175,360,194,
085,513,415,426,039,482,947,619,932,591,917,625,033,692,297,877,161,501,101,
727,822,157,970,484,143,033,378,277,203,238,625,627,664,588,227,323,172,145,
150,595,749,452,325,998,196,081,850,646,539,731,679,486,785,946,185,029,118,
895,983,163,934,225,901,728,108,308,637,640,542,890,577,589,444,200,764,627,
313,364,318,124,863,496,438,047,328,518,344,051,798,338,673,883,487,823,363,
377,447,432,479,415,506,067,199,820,897,910,083,576,434,220,224,369,247,521,
711,154,228,599,174,683,450,060,286,954,348,546,215,101,499,930,122,226,228,
372,713,816,697,627,485,181,516,267,513,786,970,024,510,306,964,784,446,398,
969,067,646,127,091,925,402,900,639,571,415,161,490,306,282,267,169,786,399,
801,480,795,518,579,593,966,090,125,303,459,451,258,361,556,632,395,734,671,
273,371,303,224,197,290,167,433,410,743,942,615,303,369,084,877,151,730,639,
026,666,195,833,630,128,881,324,118,801,200,476,378,605,911,439,912,347,432,
100,196,490,037,055,137,075,852,250,276,233,264,577,943,295,741,847,109,672,
665,788,891,886,626,987,045,012,720,408,116,408,402,737,932,260,595,226,981,
942,672,349,020,062,602,885,060,542,635,758,645,593,030,272,628,326,738,731,
005,203,774,843,223,651,284,019,433,598,077,210,084,078,130,470,715,465,892,
127,681,399,431,628,567,961,111,478,475,653,605,611,264,718,402,661,725,779,
536,741,248,881,194,623,886,852,528,096,883,439,700,140,805,386,769,379,046,
629,584,367,000,535,499,005,324,393,086,171,686,315,888,829,901,951,214,130,
859,722,805,204,809,180,304,747,916,486,315,282,119,681,173,957,931,381,430,
850,959,296,554,083,392,662,862,306,049,440,886,328,297,123,245,644,608,166,
641,139,689,838,851,370,877,880,989,534,512,910,002,261,230,617,782,404,196,
157,401,906,281,872,479,776,564,511,723,830,781,577,760,305,189,148,832,689,
688,165,903,172,004,008,151,639,350,919,348,729,527,347,588,679,057,646,298,
486,003,175,857,643,571,839,069,039,960,662,257,283,697,944,139,344,437,303,
867,275,426,270,501,034,470,909,021,901,258,138,241,562,984,633,469,764,729,
487,852,884,025,281,861,876,487,339,451,640,347,083,293,021,141,867,364,355,
105,261,848,446,950,692,878,019,077,969,576,708,266,430,649,761,086,392,674,
244,452,900,917,366,532,125,227,512,572,600,971,130,093,203,941,891,921,084,
109,623,755,135,753,893,614,070,359,127,799,497,317,127,264,628,182,674,678,
474,957,989,524,693,062,661,382,943,416,384,358,067,053,650,234,896,011,363,
715,626,997,682,817,614,758,400,884,584,528,993,009,722,341,760,576,226,149,
838,676,905,069,114,785,489,280,896,898,733,311,033,092,725,817,279,977,321,
842,430,812,157,630,651,292,099,334,886,806,352,919,740,536,088,468,634,223,
233,125,409,431,314,020,214,737,703,049,649,698,771,430,910,636,340,725,944,
858,997,671,774,735,967,447,548,629,083,723,227,171,330,187,509,765,298,030,
070,557,347,357,781,639,370,575,421,490,074,377,067,404,177,014,925,602,630,
745,945,700,806,236,339,135,077,801,194,468,425,458,017,157,260,368,780,626,
771,710,062,239,258,795,812,429,230,298,499,485,688,132,019,106,949,945,747,
478,880,426,554,422,336,204,936,769,325,407,988,257,437,303,179,723,200,671,
989,179,216,415,803,188,967,314,627,967,020,830,848,913,480,532,228,406,612,
010,972,650,442,557,889,716,106,821,758,135,884,476,084,760,216,007,474,995,
449,241,698,337,285,307,711,923,677,692,619,229,042,072,911,095,895,116,168,
517,454,486,046,787,408,781,844,220,166,768,188,374,269,092,297,202,754,612,
922,057,175,350,769,350,070,938,473,015,161,906,448,468,692,479,675,624,689,
773,238,158,581,736,699,710,012,240,766,631,029,049,358,830,673,715,927,830,
620,154,143,901,479,026,225,411,135,838,480,536,452,592,508,679,434,630,783,
723,014,187,649,383,331,469,944,022,139,195,984,119,186,731,424,657,643,233,
954,206,901,724,423,435,883,353,206,106,427,272,864,776,320,156,691,875,516,
785,802,136,282,253,759,552,246,248,575,306,015,827,958,976,896,824,477,329,
299,215,602,173,036,093,437,471,516,429,198,614,443,626,565,948,185,609,976,
727,570,670,698,222,201,586,518,080,668,444,413,836,979,658,007,092,326,692,
019,330,492,565,587,858,274,048,126,759,266,310,792,113,169,235,318,859,816,
572,682,462,588,490,157,251,496,155,355,488,598,629,038,805,107,733,649,781,
200,149,285,185,004,849,972,835,306,126,316,939,389,837,335,190,126,675,718,
515,628,955,402,540,057,800,651,560,354,975,922,974,837,670,290,336,833,146,
251,295,494,868,318,446,749,875,527,616,593,242,074,364,741,432,987,530,071,
589,279,719,369,602,007,627,434,206,652,223,899,390,800,554,017,105,129,507,
750,191,024,656,497,173,563,247,836,944,125,473,597,093,661,091,765,434,848,
936,027,297,058,702,175,466,769,281,902,662,017,859,743,173,269,823,878,543,
724,279,273,769,013,098,204,299,406,436,413,706,052,470,570,095,259,935,432,
573,683,198,442,040,617,526,783,750,056,636,631,627,485,154,109,312,779,668,
434,109,494,769,020,607,633,426,069,467,098,123,151,047,257,606,696,776,950,
307,898,514,980,543,861,965,440,975,607,651,707,683,438,195,400,798,547,380,
242,539,821,890,903,741,362,609,077,228,930,107,920,210,419,579,310,976,857,
194,699,038,505,075,255,752,468,586,347,820,478,892,218,358,829,717,856,476,
760,576,786,056,965,611,547,611,172,181,002,270,210,673,280,078,060,453,762,
815,088,866,634,025,936,884,499,929,271,010,464,625,954,861,192,351,310,575,
093,023,001,657,666,014,740,633,830,239,291,002,432,235,468,970,903,538,977,
500,283,927,334,144,068,435,286,930,062,192,222,329,166,372,734,358,413,158,
284,997,668,776,265,361,508,620,816,894,407,205,120,882,884,473,468,697,395,
635,342,608,852,120,023,563,574,490,225,498,916,080,374,369,340,913,760,482,
647,847,934,877,492,219,878,353,174,825,377,190,322,657,541,747,850,402,035,
672,648,000,565,691,607,495,689,927,984,784,979,571,555,200,691,472,969,228,
792,385,903,977,977,876,205,927,356,416,747,270,079,744,419,221,775,414,387,
600,525,285,440,263,119,231,982,950,717,241,200,044,227,395,060,347,218,093,
427,882,959,990,350,245,133,429,630,961,837,685,812,003,218,093,097,502,676,
331,271,290,658,810,750,869,915,730,683,617,482,031,770,360,849,167,868,278,
630,444,834,652,579,027,590,384,510,371,536,400,834,016,113,270,435,822,644,
426,468,488,568,806,688,017,608,510,108,856,295,372,848,538,092,969,159,737,
670,581,498,092,570,581,323,891,605,034,789,179,767,498,875,766,387,756,826,
486,102,331,123,924,312,464,331,152,353,262,450,802,510,539,441,133,108,910,
696,717,803,616,711,321,182,537,295,172,289,385,466,098,537,462,033,876,408,
892,307,037,775,006,433,073,266,934,608,566,794,267,653,692,157,451,232,626,
586,044,544,499,972,208,707,156,019,676,482,355,936,919,351,948,868,118,483,
810,959,938,471,914,108,769,483,389,223,475,534,663,024,918,579,676,136,851,
774,672,461,392,699,293,994,890,885,299,528,109,003,064,954,520,437,404,426,
547,027,026,176,181,409,007,097,943,764,713,873,196,609,040,389,280,533,189,
924,411,071,352,986,238,176,707,927,638,231,342,275,116,741,113,196,401,601,
065,340,598,787,809,773,677,316,236,424,145,394,455,923,828,577,434,221,083,
763,529,104,662,907,010,579,153,043,077,728,165,713,888,362,588,052,619,464,
991,210,132,406,481,124,092,282,383,578,912,350,296,682,162,184,176,156,496,
106,710,966,787,268,459,425,811,456,943,974,058,924,289,376,779,393,827,549,
555,895,370,692,865,729,678,064,889,236,086,573,697,910,219,207,127,721,285,
456,408,203,292,686,575,268,042,236,926,352,309,156,092,243,658,813,793,664,
305,869,116,830,062,822,532,551,388,753,531,306,679,010,767,459,321,150,103,
811,961,629,388,523,243,974,087,275,644,212,954,563,450,607,873,574,234,762,
340,887,601,507,994,898,141,214,227,029,795,007,760,598,964,897,546,353,033,
781,852,334,339,696,403,094,796,532,321,111,729,484,796,339,899,060,921,698,
915,813,022,292,148,159,906,036,912,022,889,940,008,021,931,012,687,931,498,
144,666,796,113,854,641,341,409,682,533,154,979,381,955,913,965,943,354,476,
862,031,429,209,112,987,651,726,072,904,251,596,101,790,237,288,296,302,828,
752,244,401,310,146,486,527,668,872,256,636,947,476,633,532,654,232,769,181,
334,529,914,558,794,352,758,357,957,085,876,143,984,797,150,212,008,033,711,
704,674,679,366,217,744,231,486,461,060,295,018,058,908,270,036,668,257,613,
507,612,694,346,845,795,292,274,789,863,165,948,946,673,416,628,011,636,913,
156,155,124,296,977,649,296,500,853,570,172,697,033,318,704,436,409,205,340,
906,930,784,599,949,124,104,310,819,027,357,548,855,954,603,775,551,385,587,
175,325,097,355,468,646,011,817,168,557,448,695,348,929,079,018,177,067,614,
257,416,963,466,048,832,881,611,059,296,330,739,984,159,883,635,945,058,590,
012,690,661,308,195,043,627,536,476,686,894,445,270,886,915,162,571,199,295,
256,793,155,152,999,780,796,638,074,309,381,773,603,843,771,964,131,964,891,
158,999,601,728,611,427,886,396,527,339,133,928,797,722,653,831,311,781,438,
541,429,931,873,963,936,413,767,453,727,419,271,577,109,912,816,598,370,892,
750,427,765,547,172,196,612,053,801,388,085,146,657,207,617,890,368,046,192,
989,438,524,280,585,206,270,122,206,414,833,360,052,739,253,875,357,498,086,
578,165,341,710,351,147,793,964,586,544,702,176,778,760,580,522,173,033,376,
003,365,783,849,398,989,177,200,451,641,881,793,483,022,336,231,019,794,820,
502,597,872,834,822,186,310,070,231,315,956,582,698,355,467,268,688,479,463,
461,316,761,401,796,730,601,613,806,205,123,483,937,353,695,080,727,609,959,
706,073,918,048,231,620,533,154,874,730,994,492,758,900,089,946,441,194,125,
950,665,266,219,931,924,267,400,192,494,137,649,614,275,372,989,262,801,434,
586,550,373,645,913,891,247,684,128,976,833,295,406,290,294,668,673,294,821,
054,584,788,857,962,170,413,464,895,197,119,590,980,582,905,396,385,173,391,
463,719,819,673,435,967,204,562,348,280,541,686,033,456,314,067,069,782,200,
364,804,264,370,856,035,294,782,964,614,532,505,284,919,502,655,294,321,194,
326,801,132,285,741,654,891,519,113,358,956,123,019,827,004,299,967,301,022,
324,502,555,696,673,651,669,959,516,302,607,628,873,037,625,881,581,817,883,
408,211,779,948,832,765,117,772,320,982,225,982,681,446,232,317,194,677,880,
840,452,973,481,852,070,462,447,584,041,413,200,578,832,810,287,562,553,331,
438,311,316,239,101,909,930,945,889,769,899,430,046,700,045,384,427,329,750,
718,573,993,610,216,099,781,924,759,267,163,360,969,804,337,060,859,639,666,
419,444,385,776,526,678,325,673,574,111,109,705,759,763,886,138,529,047,329,
706,568,065,796,920,887,509,886,200,735,886,667,125,291,819,996,978,092,553,
068,069,887,305,295,236,249,562,537,795,423,331,845,687,840,229,064,606,150,
957,019,086,821,172,775,336,265,678,545,345,048,168,843,087,275,956,160,379,
126,476,388,123,840,064,883,532,167,594,882,053,912,050,299,538,179,938,357,
469,675,600,766,573,949,122,522,939,357,482,319,313,359,617,612,983,716,873,
991,661,427,273,375,148,598,200,303,204,645,226,025,633,485,665,247,163,884,
755,246,769,186,239,049,917,736,495,003,815,260,020,360,544,655,022,883,139,
020,798,716,867,754,312,149,396,453,938,615,180,618,603,305,673,495,079,894,
625,434,658,806,430,688,381,508,970,681,026,624,788,038,580,957,772,198,291,
082,289,792,995,055,354,575,739,160,086,678,126,279,046,611,850,504,695,805,
122,355,500,266,655,262,560,329,383,479,079,427,341,426,837,458,465,413,735,
412,480,489,000,056,710,034,544,256,769,788,259,750,674,761,663,942,680,569,
867,257,155,738,619,693,997,395,117,263,121,329,848,256,305,351,597,655,018,
454,404,004,963,974,781,392,877,674,909,535,323,492,048,940,369,086,934,525,
065,283,003,792,341,085,270,299,323,790,744,371,836,104,389,470,471,960,353,
868,127,528,344,467,690,373,646,850,845,619,932,388,172,324,088,560,862,083,
598,538,845,681,372,843,913,170,305,126,175,804,581,748,584,761,870,312,319,
913,933,219,880,443,736,675,744,043,536,684,965,271,701,179,479,565,463,314,
051,114,318,155,741,774,638,161,330,800,732,138,251,473,458,549,634,727,650,
050,356,652,005,798,636,921,986,917,272,376,579,556,166,865,264,028,592,171,
959,028,972,254,463,900,116,492,248,330,020,981,694,374,737,416,763,679,370,
797,319,457,339,961,805,880,632,764,264,351,441,212,453,020,962,716,109,113,
133,613,317,066,705,958,793,932,314,864,091,634,485,982,594,586,403,629,801,
145,203,437,915,818,219,512,948,698,404,544,419,245,962,608,775,942,446,722,
400,571,845,456,814,880,286,158,831,298,822,504,288,919,543,691,587,966,367,
679,318,049,665,018,587,076,792,348,255,142,590,121,375,742,871,758,454,946,
615,932,211,141,683,898,348,252,298,272,134,702,122,810,349,808,152,584,189,
017,143,037,826,812,024,118,320,218,320,092,548,262,029,618,317,962,071,350,
016,835,980,362,363,667,708,177,524,154,176,557,157,333,260,203,629,441,023,
492,022,468,400,028,147,998,926,823,526,804,520,473,093,357,502,540,159,295,
854,810,511,042,020,088,006,514,025,094,242,215,602,851,673,346,169,588,649,
847,319,619,808,600,920,194,253,357,805,353,435,700,002,423,279,065,786,886,
576,400,669,764,006,119,231,087,234,307,032,952,498,684,878,719,647,976,197,
564,315,642,069,494,325,765,608,306,430,190,155,043,563,141,862,256,851,249,
280,747,208,726,072,634,535,600,026,814,220,832,192,343,130,800,697,519,145,
246,174,853,714,147,441,682,862,234,273,114,368,888,358,964,978,657,824,349,
048,893,702,409,542,857,476,641,712,921,424,683,652,192,556,117,634,484,624,
267,299,322,790,835,294,328,664,275,997,026,732,862,592,455,830,274,660,201,
678,520,262,094,783,783,998,775,414,116,040,409,190,150,133,418,009,203,003,
224,984,443,379,715,445,745,065,040,266,537,896,305,638,758,793,636,303,886,
533,099,024,382,345,197,580,515,329,316,303,806,118,149,230,434,169,729,808,
283,516,659,984,368,043,394,354,845,541,311,485,416,079,919,709,045,099,302,
918,968,527,699,575,043,136,366,726,161,983,985,650,861,911,135,840,842,263,
524,604,013,629,417,419,233,525,986,191,874,903,573,343,735,681,489,761,073,
932,959,572,427,386,102,188,869,243,451,765,026,863,880,153,981,685,365,501,
907,448,462,170,334,005,431,923,629,079,975,471,259,460,499,537,804,402,675,
180,172,392,343,816,967,168,254,612,845,744,713,545,602,542,859,984,230,846,
965,009,953,305,194,052,816,274,688,836,735,594,396,576,035,630,260,196,291,
696,630,857,639,064,372,365,201,377,654,234,192,147,925,023,509,501,034,673,
252,720,435,095,504,126,794,518,392,658,083,796,146,329,892,603,505,912,074,
816,370,168,455,393,943,412,130,577,353,239,218,018,011,739,171,142,299,872,
162,596,935,614,385,560,656,305,693,275,002,678,791,995,249,412,050,029,909,
695,097,659,858,953,737,257,523,646,841,182,740,463,187,801,717,528,471,457,
412,864,708,149,072,760,491,156,518,865,123,780,431,247,628,389,624,080,334,
501,177,004,132,582,858,728,636,457,066,466,520,429,783,713,973,020,692,132,
113,461,887,297,526,599,743,669,994,197,871,054,391,375,073,530,563,196,285,
408,453,970,047,582,179,927,917,584,124,211,692,859,430,096,964,319,685,081,
618,646,573,277,722,103,409,806,517,691,240,144,856,098,592,655,367,164,650,
483,245,974,610,743,932,818,240,075,374,081,615,581,340,796,069,254,768,798,
974,717,140,650,005,270,196,187,576,187,332,391,698,677,694,630,687,991,665,
807,374,618,276,123,487,242,252,792,864,471,046,181,078,956,946,034,910,906,
313,447,938,255,748,594,268,651,099,667,257,885,142,701,672,204,025,726,543,
378,675,708,694,844,176,990,440,066,377,291,023,104,463,888,012,776,544,984,
209,549,202,943,835,165,046,086,604,172,055,139,648,232,664,290,620,115,476,
923,019,683,741,658,154,656,474,471,357,330,003,942,633,096,813,986,425,602,
752,981,134,450,995,213,152,918,201,855,537,427,875,922,099,361,454,630,716,
237,251,848,453,101,374,707,698,904,058,059,176,003,587,193,068,041,471,998,
230,080,785,113,895,633,208,143,281,860,097,996,472,950,295,296,724,290,542,
505,909,464,189,776,684,152,884,049,335,634,243,219,990,306,476,731,217,276,
309,278,438,649,083,403,347,012,375,904,416,067,886,035,522,273,928,427,177,
515,477,710,528,719,783,458,083,931,182,653,385,151,011,306,073,997,714,659,
788,889,745,743,309,453,263,286,968,517,251,265,640,394,382,164,274,658,511,
602,935,461,958,260,238,190,247,952,311,313,073,375,411,259,815,831,788,175,
214,629,498,116,300,641,091,341,142,974,027,979,234,599,065,462,995,080,139,
577,754,508,416,350,216,158,775,226,326,817,939,998,177,967,611,604,212,321,
440,676,173,967,303,320,320,914,048,650,558,509,176,209,474,133,628,533,381,
383,757,525,467,189,060,097,658,495,563,832,654,646,140,254,416,870,079,639,
328,454,457,140,147,350,026,263,124,738,030,347,824,901,945,116,407,574,008,
073,240,326,690,048,077,756,855,402,532,026,599,436,109,640,335,051,815,927,
703,961,180,830,026,633,642,669,931,340,385,722,492,718,827,363,229,258,260,
140,457,129,393,739,516,451,188,643,604,622,792,034,335,636,173,261,042,429,
075,434,875,748,611,761,268,736,613,031,986,340,600,380,742,008,571,231,431,
437,002,511,313,053,954,813,353,312,935,884,062,390,494,959,219,914,984,461,
345,473,441,378,973,714,168,075,529,744,215,032,233,264,231,368,021,463,450,
161,837,768,664,188,335,032,169,199,133,131,265,521,947,479,462,859,985,592,
384,865,960,995,844,145,129,635,962,687,868,571,887,295,137,472,627,680,608,
234,292,262,148,016,395,289,812,537,317,756,909,212,091,748,870,754,195,913,
872,410,348,534,112,645,022,364,737,587,027,746,459,674,825,613,597,941,588,
282,271,557,034,174,966,970,412,338,906,396,193,977,004,308,395,786,746,255,
136,262,310,458,521,763,681,424,843,508,643,571,848,366,255,057,655,491,817,
940,669,518,947,100,494,231,035,569,233,033,283,215,014,326,571,908,787,972,
247,715,846,428,610,652,732,950,168,498,263,985,303,499,744,009,332,913,879,
599,627,485,944,365,417,294,196,633,250,476,473,134,875,378,603,859,553,441,
399,813,597,174,068,894,064,960,609,204,866,228,211,221,499,107,697,445,114,
902,208,996,670,863,542,328,253,366,323,281,049,221,613,675,788,235,679,467,
166,227,922,481,324,046,720,788,842,357,249,860,051,526,598,000,586,159,236,
047,959,146,202,201,905,253,883,986,298,882,594,804,079,080,138,211,735,328,
838,976,582,184,879,702,447,166,802,772,488,098,478,989,329,905,614,116,907,
902,607,491,651,285,715,637,079,536,888,957,267,516,131,202,457,634,267,181,
732,108,171,602,022,375,702,581,287,773,990,939,088,644,913,713,253,017,797,
973,746,277,161,806,644,738,672,373,398,367,428,100,935,623,629,166,776,133,
075,902,062,504,023,320,913,464,068,269,652,240,879,383,374,577,779,865,771,
456,629,071,834,379,404,525,432,990,847,684,539,756,196,948,007,632,692,598,
192,828,258,129,412,089,297,268,199,883,665,759,592,302,276,765,912,636,343,
718,193,285,761,035,776,721,057,777,960,918,558,096,488,265,074,146,903,156,
212,213,202,851,420,870,998,308,621,228,630,486,891,019,509,504,525,291,691,
332,885,338,053,200,889,841,392,014,847,068,916,712,614,001,381,109,662,264,
155,485,333,113,514,776,167,656,596,884,336,491,291,705,757,196,168,526,053,
491,987,061,343,394,196,877,959,825,485,759,221,239,711,505,172,719,991,974,
912,835,729,101,110,125,751,691,356,649,873,661,312,365,372,172,394,384,161,
338,299,757,660,889,543,210,207,713,346,564,648,944,480,576,498,969,437,251,
711,484,899,209,474,526,244,579,149,946,491,423,398,684,356,860,084,416,173,
371,645,635,680,993,912,827,629,380,777,712,010,229,030,697,914,608,746,784,
139,009,580,531,539,568,698,087,078,099,259,009,832,325,138,734,936,624,542,
198,845,901,744,140,661,893,022,929,042,884,137,230,861,530,882,141,585,013,
745,671,937,130,639,400,925,095,796,251,756,203,975,129,776,557,483,700,123,
617,440,370,167,089,349,269,422,282,579,515,662,898,508,434,082,258,223,565,
515,267,918,636,128,068,776,265,056,705,903,802,528,794,560,191,829,482,819,
143,056,864,685,709,485,668,267,667,560,552,059,940,117,914,976,176,786,985,
877,520,522,042,478,617,215,152,135,043,736,405,634,946,998,104,811,370,625,
720,885,171,641,651,818,581,639,313,119,310,620,467,441,960,190,626,860,272,
502,310,812,834,809,364,951,287,375,532,534,704,297,434,193,825,928,288,515,
838,092,717,740,753,735,466,627,552,786,251,739,908,550,410,180,247,843,740,
705,341,052,612,158,209,309,443,552,534,762,399,575,191,812,594,221,060,202,
415,289,762,649,605,830,453,267,205,651,683,503,226,439,751,736,633,755,229,
093,935,661,961,994,874,842,225,011,776,977,131,296,284,704,901,633,377,953,
906,929,840,556,230,808,736,305,143,510,201,082,154,422,475,671,284,206,141,
149,439,493,271,099,487,268,910,355,722,208,102,081,763,852,264,550,155,256,
527,794,766,538,502,869,655,035,434,399,315,784,001,757,584,336,822,318,928,
305,815,831,733,212,713,649,244,181,533,579,858,491,591,366,995,526,195,076,
360,450,960,355,261,484,791,437,633,759,262,814,104,971,948,837,635,051,050,
590,007,467,570,036,827,614,656,421,921,073,455,877,179,643,032,735,192,926,
047,833,666,079,491,804,256,952,842,893,445,094,589,298,338,093,159,260,543,
261,989,845,848,722,187,132,246,569,126,610,457,749,788,274,354,402,782,382,
198,859,019,783,715,566,670,517,932,044,633,116,619,516,315,717,191,931,720,
457,708,431,403,872,576,182,917,566,512,131,630,486,244,603,560,441,526,047,
820,789,630,828,872,047,585,538,458,646,013,151,065,955,567,271,273,702,571,
410,255,651,656,224,019,474,527,739,950,327,308,101,832,072,216,826,921,881,
311,571,694,451,680,069,493,333,450,711,110,228,833,073,484,226,928,480,784,
725,420,095,920,624,571,545,153,693,121,800,685,775,965,975,039,662,051,523,
936,265,353,602,426,503,643,073,216,723,735,141,604,991,269,485,130,231,213,
391,975,257,444,571,794,474,013,481,004,192,233,919,876,407,875,239,058,146,
349,737,778,889,565,742,371,815,474,130,212,598,635,835,299,170,540,428,297,
572,211,096,068,077,658,867,629,424,336,342,309,861,683,610,553,844,734,798,
689,514,437,685,492,056,915,658,161,215,032,883,233,390,179,166,706,592,383,
244,279,199,198,817,722,692,453,565,074,983,518,746,891,192,000,221,267,245,
849,380,206,462,519,314,843,925,301,936,232,810,775,455,848,698,017,441,345,
572,422,928,367,343,281,936,921,845,367,995,134,648,763,792,689,361,015,030,
506,308,419,029,555,116,241,716,384,772,500,351,898,367,821,537,888,494,968,
420,694,971,989,091,701,459,557,822,130,077,473,315,363,166,342,255,331,672,
977,801,972,141,835,912,012,798,412,455,523,278,521,687,451,579,102,590,742,
031,057,672,827,125,689,186,471,157,203,284,273,230,108,610,846,642,645,180,
190,021,571,704,787,070,383,397,459,274,591,935,172,624,271,184,833,504,058,
137,237,714,424,251,351,701,077,554,669,501,654,758,958,674,022,059,407,248,
545,181,867,124,825,305,283,599,765,045,430,270,835,752,481,740,177,920,576,
589,206,834,521,393,714,310,222,635,220,931,406,840,819,094,326,917,464,989,
949,131,853,008,687,148,128,204,716,537,980,683,459,781,661,112,151,486,619,
229,564,474,553,717,322,589,301,512,829,994,614,891,557,374,231,983,882,790,
666,917,535,994,117,525,600,392,798,285,381,842,652,164,187,194,546,304,558,
831,833,146,213,336,775,405,606,565,620,216,457,089,264,018,130,088,147,880,
608,299,539,015,783,231,197,197,874,660,179,994,405,281,170,778,737,439,811,
274,719,512,994,907,846,837,173,062,691,384,985,871,756,334,921,613,320,004,
354,671,493,585,351,358,832,568,714,912,323,689,742,126,520,414,152,312,292,
500,366,801,746,597,038,708,399,384,119,032,280,407,105,342,209,705,659,569,
113,077,448,363,042,288,757,155,409,226,596,718,209,750,233,589,344,773,130,
052,066,606,983,526,937,058,648,710,207,872,935,784,486,513,065,504,126,323,
708,178,164,679,192,849,307,073,292,891,672,479,129,826,597,247,503,305,611,
409,495,321,993,548,473,566,240,261,340,511,603,893,865,099,964,027,300,776,
629,787,910,273,895,705,123,279,802,881,086,463,601,011,354,786,537,171,810,
982,812,516,198,093,170,310,265,756,904,282,001,894,261,737,546,892,154,210,
276,893,369,387,068,951,567,522,407,352,658,345,827,691,626,710,768,702,991,
691,994,895,747,537,524,081,658,847,854,022,278,990,275,716,115,348,483,906,
061,065,966,006,494,778,112,638,420,408,609,821,641,933,605,218,924,624,447,
150,751,116,064,711,201,443,106,047,488,899,918,861,551,127,938,081,039,273,
162,947,110,835,705,692,204,433,573,175,962,696,734,595,881,746,352,052,862,
612,601,091,939,673,088,204,365,450,193,575,393,252,587,321,135,571,214,853,
041,630,780,640,933,880,970,595,893,815,092,219,770,780,861,195,778,804,859,
463,818,860,519,329,731,866,922,192,027,944,801,590,774,646,598,763,839,728,
752,545,759,247,533,615,820,446,146,567,887,125,976,742,041,215,538,103,189,
828,863,368,607,074,474,980,501,778,523,521,336,246,524,505,386,660,127,175,
128,827,683,806,460,977,796,358,878,808,920,768,985,584,574,943,610,728,108,
078,265,009,533,211,342,214,672,119,636,163,956,911,002,731,950,229,101,953,
011,076,141,079,723,885,755,711,491,894,253,283,235,629,671,748,050,825,064,
910,458,630,554,669,830,032,541,467,912,106,706,162,602,157,873,868,087,324,
652,882,040,082,953,057,175,159,929,058,882,028,035,627,437,216,536,623,239,
697,398,057,346,973,920,855,155,634,159,338,233,964,199,576,756,040,588,822,
768,796,174,033,324,498,992,538,797,771,155,286,827,416,266,897,543,827,309,
243,898,037,528,749,562,009,102,212,875,660,972,307,248,552,049,817,033,263,
775,356,626,032,289,882,837,201,073,988,662,224,760,819,580,980,517,382,152,
710,815,646,558,637,250,879,401,637,973,207,777,448,184,828,836,134,849,698,
520,184,267,699,625,439,968,333,766,779,519,560,103,010,930,696,882,366,143,
690,273,983,469,245,564,644,510,459,264,964,627,534,038,669,840,852,569,081,
630,502,194,754,091,420,103,431,927,408,967,343,783,190,249,431,487,379,079,
018,168,761,353,371,519,510,655,956,242,136,770,208,041,009,450,823,754,667,
087,707,678,075,573,571,267,632,126,173,214,250,661,475,921,909,411,282,546,
529,856,231,343,021,065,340,536,373,420,501,757,256,581,361,595,134,179,337,
981,903,523,935,056,800,532,665,895,943,320,672,788,519,290,061,427,322,071,
791,349,346,272,690,777,844,414,848,220,602,878,710,334,848,589,573,798,977,
824,463,091,799,252,167,220,985,637,102,969,751,504,299,765,344,685,904,491,
153,390,927,171,384,029,950,133,531,887,803,038,551,170,373,914,994,337,998,
435,819,592,829,420,775,300,419,157,830,786,760,779,362,850,795,926,342,016,
281,214,982,678,532,503,128,940,124,840,713,028,162,017,748,579,907,421,481,
308,298,513,822,752,915,667,242,448,916,208,245,282,507,860,825,811,447,205,
026,567,866,449,187,532,565,801,164,513,520,425,324,456,611,817,539,643,235,
497,368,811,028,198,503,670,460,102,935,656,461,117,762,912,181,315,008,480,
635,097,461,259,911,375,317,938,438,253,421,503,085,344,141,521,469,968,553,
218,443,628,537,006,485,316,013,591,564,596,584,021,833,641,170,453,224,491,
784,949,796,107,458,734,157,719,110,976,738,153,019,772,527,582,905,990,211,
102,057,849,932,468,613,964,816,461,237,016,883,117,305,676,986,296,176,618,
654,030,543,226,312,003,486,762,726,329,907,150,337,126,850,497,419,129,439,
514,175,848,934,621,970,164,018,989,418,183,167,293,188,070,053,783,542,201,
205,744,314,835,352,835,684,844,126,141,625,469,737,074,286,884,301,882,518,
501,037,592,113,021,482,216,021,093,270,976,264,472,571,013,264,624,731,837,
909,892,132,416,045,156,278,449,931,756,700,022,588,788,942,316,837,524,103,
629,617,551,395,659,059,300,276,638,911,629,728,917,019,003,714,200,824,689,
276,831,639,249,215,487,104,511,750,275,395,769,984,540,645,096,448,026,953,
036,534,080,938,806,072,701,363,503,813,835,419,371,600,467,646,056,193,987,
321,466,054,721,742,361,589,674,417,150,979,047,775,183,599,643,218,815,275,
961,230,942,717,111,180,168,785,098,149,426,268,062,773,279,304,237,442,175,
367,787,395,916,484,012,196,218,829,863,957,709,773,874,437,620,866,253,395,
759,914,834,013,558,517,200,192,141,165,079,286,221,823,033,297,099,060,261,
641,218,239,064,939,806,741,849,934,119,680,657,657,942,519,992,191,296,501,
747,022,922,433,081,757,842,684,823,374,260,461,704,777,823,269,884,694,916,
491,759,172,002,895,170,098,675,988,329,655,834,656,512,709,494,803,037,505,
651,357,796,348,680,605,261,736,246,859,920,605,736,612,010,141,284,440,970,
522,462,881,051,012,398,496,567,035,553,453,275,209,367,879,599,687,590,691,
416,467,946,961,849,973,166,040,808,223,126,789,181,091,458,903,703,757,666,
975,399,633,034,305,629,609,917,118,577,483,259,094,726,065,445,045,667,643,
134,203,594,388,752,892,703,719,773,132,928,361,455,078,094,852,512,837,371,
875,399,387,099,155,427,674,540,359,117,546,462,350,986,761,243,385,190,318,
402,972,543,948,751,730,905,322,432,274,645,783,786,027,122,345,770,549,037,
189,846,295,173,943,359,511,258,604,167,781,522,965,436,466,112,233,992,009,
708,548,758,834,490,464,830,831,643,797,426,301,917,874,457,297,577,836,466,
703,501,011,158,373,639,114,403,911,756,430,745,095,029,285,365,193,095,305,
299,467,728,333,954,588,811,607,206,372,790,912,204,907,499,224,873,105,493,
352,815,907,075,786,877,310,613,971,456,882,589,350,252,197,982,237,206,465,
059,911,562,143,271,056,804,294,340,672,464,066,699,198,098,217,511,647,209,
479,792,675,030,176,871,079,250,496,938,452,717,403,865,283,608,753,578,958,
510,289,461,033,019,535,739,285,369,051,371,326,010,022,358,570,182,083,660,
589,679,061,335,111,541,405,247,140,384,350,767,159,701,635,385,616,399,844,
205,955,236,628,482,832,211,440,659,981,268,739,151,219,461,450,967,913,209,
783,477,087,965,269,372,737,562,970,072,008,269,940,882,604,127,375,934,036,
547,768,840,283,923,045,968,648,130,624,389,490,011,985,852,008,753,549,171,
971,182,858,282,255,665,170,429,778,697,863,414,837,876,207,650,058,824,278,
750,430,536,706,645,340,265,082,881,928,386,099,878,721,108,862,710,041,440,
099,862,673,610,175,127,769,749,472,902,714,467,397,146,161,602,296,492,779,
106,229,037,795,705,405,764,701,695,707,131,638,581,291,670,038,560,623,349,
375,389,949,372,584,566,289,331,802,614,183,382,829,649,499,575,585,408,209,
453,843,807,052,936,363,695,901,107,527,339,315,214,351,456,145,937,946,535,
891,115,969,823,661,494,875,716,731,238,872,539,364,785,591,582,174,192,226,
611,352,583,689,421,411,386,695,473,529,986,486,996,902,131,768,904,616,411,
512,526,071,751,280,328,844,361,455,948,646,895,861,345,633,860,200,533,146,
783,934,131,934,499,492,360,983,901,391,857,385,037,115,717,676,287,974,979,
516,413,319,879,587,007,729,222,427,246,149,408,122,014,115,323,006,006,318,
393,709,139,749,538,647,904,660,148,197,051,252,250,072,006,055,794,828,426,
090,827,828,988,503,385,514,357,851,708,993,590,118,951,961,488,549,001,148,
874,258,021,741,324,950,099,087,344,847,165,826,433,992,863,655,477,867,229,
780,891,622,050,204,420,420,799,697,629,610,831,267,058,756,833,846,672,938,
091,454,756,984,527,664,142,165,982,810,228,362,094,277,335,438,051,577,203,
948,060,150,315,682,339,893,219,450,641,533,110,390,143,127,990,766,836,326,
529,431,435,939,964,580,019,594,073,701,160,225,302,158,857,695,994,085,724,
249,815,323,512,765,118,071,655,544,984,207,752,921,864,609,758,618,911,897,
977,131,937,164,116,745,724,741,994,954,371,025,363,028,082,558,774,756,000,
593,842,576,408,271,310,959,828,018,055,007,926,220,722,944,787,951,943,854,
640,494,259,753,371,856,001,414,160,570,730,931,996,278,565,696,713,655,698,
200,566,423,842,935,109,669,202,747,199,968,835,435,956,673,048,688,578,618,
373,818,974,679,249,689,942,123,803,258,991,953,554,812,325,666,948,621,864,
777,579,692,822,459,267,882,057,163,974,523,738,223,393,262,918,340,951,015,
908,656,404,599,569,956,770,755,535,138,230,056,143,509,714,265,807,890,845,
703,323,976,601,126,266,294,635,031,766,804,870,897,290,535,509,183,379,570,
214,750,200,964,303,085,918,700,210,458,837,502,159,948,332,746,215,684,589,
074,980,909,848,102,376,758,304,072,346,521,826,000,160,512,197,815,827,020,
457,709,520,589,317,465,747,336,360,894,074,449,832,712,424,527,493,182,770,
715,771,831,711,068,301,336,578,808,082,653,510,890,313,643,711,606,899,001,
253,727,102,605,848,181,141,427,407,836,300,001,432,861,657,588,981,765,937,
421,667,609,095,291,619,498,499,134,578,980,201,130,370,942,609,681,625,580,
768,423,494,962,740,230,149,463,310,984,108,167,336,670,237,783,509,857,413,
154,249,131,960,298,951,538,081,412,227,922,320,390,944,134,498,140,546,920,
579,428,089,803,460,921,650,789,016,306,140,506,532,507,187,241,988,367,346,
675,737,394,782,972,196,078,783,316,199,217,537,259,884,748,406,175,564,025,
676,938,482,276,916,027,389,649,439,351,714,989,171,386,771,709,468,272,987,
174,945,609,830,935,732,064,444,688,785,682,962,825,297,955,065,909,774,156,
634,854,760,892,868,374,165,488,876,091,757,567,426,922,629,045,208,807,740,
865,091,385,812,200,297,787,590,837,611,602,344,335,933,728,128,226,855,007,
068,422,974,403,048,362,246,296,506,758,906,191,794,616,798,295,413,003,842,
189,909,517,153,211,990,934,913,978,519,656,707,174,873,301,302,029,094,480,
183,604,651,120,436,465,462,455,203,046,398,851,915,262,493,487,223,686,581,
646,876,229,199,409,662,968,521,615,793,364,612,356,857,049,877,263,265,325,
597,615,740,344,431,790,391,203,366,678,728,175,842,800,568,837,206,203,117,
621,758,172,769,619,232,844,061,507,976,323,454,129,107,819,003,638,883,283,
947,634,344,126,485,352,692,703,148,891,523,537,772,747,729,149,251,171,427,
389,542,561,731,012,946,173,311,755,504,951,179,158,717,849,709,077,516,418,
509,343,854,395,822,697,456,759,879,625,415,373,708,242,863,989,185,032,904,
810,326,628,739,973,127,935,661,574,041,778,879,702,138,860,850,161,507,489,
049,646,044,342,935,383,794,427,617,351,892,176,012,775,649,999,111,830,572,
509,504,249,344,777,377,711,914,900,152,954,198,321,792,214,833,219,763,352,
344,749,284,856,551,919,993,938,765,690,324,484,030,275,310,482,453,617,297,
765,074,765,213,333,610,971,813,019,458,419,430,435,676,416,969,639,457,570,
231,930,493,367,920,246,092,580,788,783,730,220,232,813,555,775,018,919,916,
835,586,908,564,837,187,201,320,929,136,708,361,669,648,667,827,008,370,564,
042,398,386,625,703,981,608,676,297,633,193,335,895,325,640,387,779,836,193,
290,209,315,675,558,789,412,870,425,419,364,429,944,840,894,096,621,027,182,
058,378,069,959,590,621,214,454,280,836,626,684,452,424,515,720,525,288,638,
454,789,698,611,049,294,267,788,926,111,830,045,729,320,171,624,452,039,858,
393,712,188,120,350,830,301,896,525,224,480,220,053,454,885,150,566,281,777,
760,747,540,112,318,373,418,385,992,877,782,012,911,835,396,484,475,277,079,
184,052,714,556,697,291,400,496,132,595,143,763,960,171,584,456,604,012,711,
732,932,208,771,645,412,459,082,090,167,686,621,703,872,645,935,665,725,428,
005,671,115,982,306,449,446,753,340,072,198,449,309,611,867,210,354,586,139,
928,703,119,083,529,252,655,065,158,684,550,657,608,344,980,700,569,247,879,
558,751,496,666,547,340,012,618,076,683,144,416,412,438,045,487,354,309,021,
195,504,052,019,435,584,666,673,516,210,707,371,388,677,728,663,344,661,037,
300,216,546,005,227,478,511,895,022,328,601,945,426,852,105,845,050,519,198,
096,637,379,396,791,941,641,428,933,165,326,778,260,353,838,807,456,015,293,
191,818,180,434,439,721,794,008,658,436,257,669,454,582,809,266,993,152,607,
668,780,367,568,785,258,701,649,524,649,220,240,193,512,209,608,938,503,084,
036,696,915,491,619,713,006,114,570,050,404,605,922,641,530,336,037,486,578,
990,818,990,375,395,791,486,038,370,006,290,755,563,928,410,916,775,505,518,
524,799,790,137,497,085,277,845,042,438,204,335,511,965,190,577,036,128,921,
365,929,760,953,337,036,128,022,092,059,425,710,362,546,509,775,378,534,622,
889,060,282,889,660,504,217,733,033,907,894,787,548,455,791,560,480,327,449,
241,029,345,962,910,765,289,038,250,338,911,940,691,499,023,768,609,794,437,
892,707,230,071,873,297,477,903,161,869,645,565,750,461,473,804,080,865,577,
367,941,073,687,219,888,400,374,394,883,921,556,117,104,837,816,310,288,733,
745,424,955,337,194,234,699,106,469,709,277,194,479,687,877,887,790,410,889,
471,967,489,766,147,853,873,217,337,897,575,227,242,917,114,624,079,591,008,
628,131,170,239,835,860,531,022,878,605,802,482,281,919,993,388,653,042,643,
038,589,757,471,192,977,464,135,210,516,697,012,719,598,670,543,450,492,250,
050,350,777,248,935,068,623,616,090,472,486,552,555,182,967,541,474,275,330,
311,895,423,718,489,951,032,754,123,828,060,196,552,287,185,021,854,392,600,
835,001,614,010,189,579,349,779,628,240,388,902,631,543,108,247,725,485,005,
192,899,482,388,248,895,771,628,599,567,105,990,807,763,884,162,024,422,166,
955,732,975,667,231,714,243,419,475,152,571,488,415,938,339,479,669,980,671,
755,285,098,560,558,909,958,808,535,414,094,569,878,727,074,530,203,328,824,
807,800,362,073,891,610,897,289,589,050,838,815,798,423,917,688,790,397,886,
665,692,172,692,409,891,033,431,380,860,849,269,969,014,114,524,388,406,576,
247,325,086,306,024,321,485,189,289,863,304,210,057,380,904,846,892,002,028,
330,669,106,216,735,389,142,965,222,739,600,919,601,430,136,032,118,963,136,
315,938,859,155,653,834,925,264,260,293,112,143,627,549,570,465,166,222,556,
502,233,838,457,906,786,078,188,908,387,605,165,299,481,975,772,883,785,277,
598,074,499,390,227,188,711,205,803,857,451,877,777,915,472,923,212,948,181,
527,726,081,964,974,207,860,239,847,467,847,812,090,004,658,757,431,442,232,
157,203,731,750,148,899,049,101,071,331,562,037,506,734,322,101,684,190,216,
429,744,724,077,670,881,180,832,973,800,167,805,331,236,245,765,868,519,515,
050,351,654,953,472,401,082,421,052,647,528,069,380,150,170,589,900,354,335,
848,615,099,029,991,085,501,496,197,026,689,504,070,727,660,679,385,681,956,
526,830,714,584,066,989,276,663,010,567,458,361,453,918,084,001,775,546,027,
818,351,234,166,366,584,381,996,614,693,761,480,929,487,874,164,568,388,973,
774,118,599,996,402,320,902,593,997,998,163,783,146,411,552,932,504,116,027,
555,524,698,343,970,153,491,579,090,970,167,174,285,395,838,770,184,850,841,
823,372,218,716,810,088,507,301,406,270,146,048,358,501,259,237,798,508,432,
313,615,877,940,117,067,145,441,863,338,097,118,530,658,873,431,142,264,040,
842,205,689,618,691,619,097,889,788,361,867,295,382,529,666,875,801,667,300,
123,403,343,800,071,108,118,571,807,056,582,478,680,668,960,627,261,636,272,
625,836,728,781,008,289,428,815,504,270,064,424,585,517,130,675,420,323,934,
040,890,272,141,128,400,592,544,530,952,916,661,064,577,999,988,063,630,222,
233,128,725,654,109,536,682,348,008,305,001,020,406,898,535,709,147,546,227,
850,029,301,486,115,983,626,275,864,531,202,822,409,060,489,690,886,618,021,
890,253,598,030,920,197,462,824,208,645,954,209,901,317,792,649,169,633,221,
673,257,597,034,291,026,995,824,483,143,263,036,431,170,643,472,888,888,687,
883,004,177,185,500,833,665,130,877,267,213,935,051,559,286,872,273,954,317,
341,865,702,231,171,522,012,358,553,255,306,835,612,897,863,847,638,678,026,
120,709,314,089,964,087,115,382,724,145,163,332,029,786,169,307,384,983,939,
278,515,859,955,262,940,804,786,236,491,348,817,192,464,830,109,656,252,352,
649,789,111,397,494,239,030,233,328,135,773,032,040,306,236,479,226,756,097,
701,602,864,242,773,287,913,650,380,142,728,493,888,074,990,323,725,133,877,
504,833,309,725,508,106,090,207,644,498,935,079,035,591,745,196,806,478,030,
062,095,912,108,871,122,984,029,718,014,127,651,905,464,054,774,164,812,773,
219,262,605,757,008,810,287,850,954,570,654,687,908,178,156,715,421,337,343,
840,988,345,042,362,361,677,729,925,159,983,418,353,323,432,874,970,050,417,
230,071,926,527,974,775,384,677,197,493,006,028,192,968,755,652,325,815,073,
296,805,527,386,932,885,881,116,810,646,808,505,190,606,070,664,143,337,310,
724,388,712,133,859,137,353,119,517,302,631,275,734,931,237,064,105,420,990,
136,868,764,089,170,020,494,008,483,260,959,884,408,153,178,331,356,713,975,
301,342,158,155,949,037,416,545,936,346,636,871,498,486,202,281,318,129,411,
671,073,267,670,588,134,946,692,583,737,591,855,205,826,460,060,976,902,442,
941,586,087,271,266,898,672,126,078,126,055,579,305,988,619,456,784,467,154,
330,506,439,547,439,366,447,507,539,032,827,312,193,561,398,151,347,431,542,
813,670,130,937,925,086,837,106,145,196,604,975,377,474,136,875,695,717,137,
073,012,908,337,685,430,670,531,418,075,052,446,993,335,621,886,084,285,984,
425,484,966,894,135,962,257,227,866,293,610,869,031,226,950,788,076,052,549,
490,209,664,611,703,033,426,505,759,027,459,604,394,926,886,218,873,889,655,
204,053,958,455,104,369,306,811,324,546,653,197,345,073,907,779,781,070,089,
387,141,418,895,683,777,471,700,599,851,436,922,630,340,636,718,697,477,166,
079,300,044,839,752,903,900,530,446,069,710,602,048,986,963,039,224,567,487,
123,591,265,401,483,469,084,960,196,764,976,176,654,278,546,627,233,934,780,
090,500,930,800,703,576,310,700,669,415,585,738,872,078,786,636,034,481,522,
785,941,362,102,093,986,637,088,908,166,120,207,539,691,919,629,431,496,335,
265,637,877,019,497,669,389,700,998,375,135,950,115,777,254,400,780,841,437,
512,238,682,398,016,563,807,136,724,972,472,404,977,657,023,304,190,025,122,
173,037,654,172,627,659,571,094,696,551,183,568,446,730,967,253,338,774,895,
139,716,982,923,515,691,913,850,779,105,099,999,635,617,246,796,094,759,004,
792,830,946,634,498,687,506,460,730,785,701,371,637,643,741,521,798,544,238,
805,361,368,992,347,992,840,408,920,606,336,704,694,100,611,757,860,009,353,
247,651,473,875,874,932,296,420,613,187,257,826,657,899,466,744,924,848,392,
080,993,574,107,665,461,660,625,726,678,711,512,950,344,144,933,052,534,953,
969,600,252,129,262,328,798,941,802,750,606,151,546,738,980,154,324,301,548,
536,589,141,106,346,802,232,466,058,522,959,934,369,709,163,606,014,807,948,
243,797,571,500,802,391,989,399,485,341,796,475,513,091,170,041,644,430,302,
528,078,517,256,660,445,994,142,413,496,534,523,316,890,055,604,334,174,474,
835,384,180,703,860,300,075,541,289,273,972,816,698,188,890,858,985,984,994,
848,158,060,330,475,576,540,084,498,307,782,083,714,699,400,806,502,446,766,
657,332,459,695,305,585,703,061,085,128,153,990,417,372,966,878,489,318,438,
005,248,289,341,494,327,598,510,703,874,998,318,913,191,430,263,381,014,641,
754,091,098,249,801,961,441,149,500,899,128,724,122,509,669,660,041,683,499,
576,281,327,426,657,995,090,208,272,031,300,445,012,398,507,308,771,713,179,
377,643,167,819,864,765,874,603,934,960,019,486,668,877,658,979,861,377,973,
902,677,390,488,480,380,151,387,964,175,559,377,326,894,254,720,944,552,328,
342,859,576,159,752,332,836,318,079,271,515,702,442,454,962,078,799,306,718,
711,091,276,455,465,601,783,637,368,120,529,953,297,133,340,219,960,857,010,
637,588,572,603,540,802,003,823,631,871,175,303,024,985,920,359,079,105,600,
696,841,557,882,615,288,397,538,821,016,295,988,558,955,061,086,262,313,046,
786,277,874,121,523,832,285,291,832,458,085,432,602,483,897,686,451,522,713,
590,551,301,048,291,619,278,164,279,993,814,751,292,583,679,507,829,706,883,
294,629,855,510,636,287,765,342,187,066,831,447,615,933,228,927,780,461,894,
198,858,971,646,221,646,179,494,119,748,326,213,597,825,592,152,179,616,998,
488,958,198,797,270,506,648,726,147,291,064,252,355,795,989,646,025,006,450,
788,684,144,609,601,810,002,374,944,024,234,338,348,677,611,593,882,203,689,
396,357,296,430,368,930,425,200,221,316,296,115,148,472,928,778,738,291,962,
599,089,113,586,358,980,922,199,128,229,031,122,604,203,984,602,518,680,505,
052,137,888,079,522,334,767,439,002,304,116,894,953,594,866,688,130,127,172,
480,628,557,485,188,342,029,773,552,052,976,862,680,518,591,022,326,056,400,
898,610,748,531,354,512,644,354,610,798,568,443,191,099,023,389,589,285,883,
781,348,147,396,253,458,441,365,907,047,738,923,331,856,791,513,169,988,200,
319,521,746,525,586,365,421,432,323,890,906,190,036,769,755,852,763,404,931,
130,702,493,164,657,523,546,075,302,248,524,127,839,180,868,114,550,248,310,
761,689,860,630,006,462,684,657,338,623,136,964,109,927,836,003,268,946,439,
267,456,393,022,769,734,430,068,138,952,082,371,280,041,489,853,689,475,299,
762,550,337,477,322,471,534,219,716,846,288,038,440,894,121,811,869,444,938,
677,593,862,447,333,970,992,423,510,121,173,355,891,515,039,512,511,448,412,
224,447,827,326,417,943,801,332,262,191,876,485,040,390,750,264,352,105,926,
067,811,363,951,563,640,266,336,942,083,076,966,907,167,213,274,460,928,285,
211,559,160,416,072,064,442,224,943,854,471,264,676,181,426,533,423,835,745,
454,818,447,426,226,333,066,710,180,518,087,099,251,517,350,240,264,372,391,
968,209,918,257,231,307,750,289,907,755,457,327,687,101,931,586,539,876,192,
461,936,016,677,168,269,844,960,229,907,890,298,962,306,137,702,276,187,421,
719,828,487,413,513,499,099,260,282,425,126,199,769,157,618,867,791,028,814,
190,840,775,555,379,378,661,821,669,008,818,454,722,707,772,355,335,530,151,
517,245,727,416,242,365,157,534,630,666,345,979,008,613,608,109,567,491,020,
296,352,477,191,108,195,077,750,434,190,151,571,396,501,230,418,450,945,401,
516,153,213,559,466,671,001,810,577,616,377,950,457,674,396,747,032,638,825,
622,174,839,684,800,513,213,366,995,795,661,324,051,815,584,431,183,323,642,
589,609,837,036,407,841,487,212,531,462,843,091,479,155,158,104,671,253,413,
545,027,156,222,364,053,585,760,507,269,496,610,373,626,200,856,228,632,936,
501,147,095,590,348,833,298,068,713,407,210,111,188,388,630,641,351,739,414,
626,429,569,683,844,074,642,482,385,005,782,812,973,525,657,845,095,895,320,
072,095,535,150,684,669,315,116,204,042,308,143,180,984,710,337,785,609,029,
730,961,568,912,144,006,233,821,968,348,039,605,226,151,312,598,270,256,022,
347,251,242,686,203,062,537,381,916,518,892,801,562,067,717,836,314,285,845,
112,022,447,474,901,116,075,608,259,564,488,844,995,306,810,204,956,466,780,
836,555,680,967,369,962,716,339,666,994,954,640,517,510,683,561,158,403,913,
209,112,422,390,174,517,584,509,705,647,561,589,857,735,161,259,353,189,717,
933,925,395,544,971,532,096,129,558,431,051,557,312,449,120,158,226,387,186,
517,314,665,750,562,797,295,566,546,242,888,425,991,935,753,336,689,098,806,
978,102,370,095,882,136,556,076,359,040,700,806,659,464,974,744,006,491,687,
600,855,118,300,078,467,583,413,371,047,112,428,367,921,381,184,959,395,685,
547,419,243,621,284,603,614,636,368,503,337,697,950,643,471,951,998,274,654,
906,981,135,047,338,639,628,844,967,020,261,706,759,547,214,534,656,525,533,
528,990,023,295,798,938,790,562,887,619,789,867,823,500,951,954,882,011,630,
903,001,926,580,297,009,799,763,990,431,859,405,282,582,072,423,652,028,066,
659,151,078,010,249,121,010,460,724,782,923,627,131,538,573,067,780,149,287,
094,345,637,701,726,260,957,795,387,688,649,792,756,518,267,433,459,021,739,
408,713,189,504,255,451,085,386,740,959,766,073,804,496,217,838,346,131,149,
898,465,534,793,398,451,919,577,493,723,998,665,787,626,690,068,391,225,831,
387,927,938,201,642,410,447,128,151,109,656,282,969,229,830,801,565,370,551,
381,375,281,842,965,401,427,019,881,692,504,434,817,553,831,712,973,499,078,
885,589,475,244,812,928,324,634,605,566,945,077,944,559,195,913,408,092,220,
616,057,131,589,241,731,886,003,320,041,742,527,685,953,435,972,684,083,598,
168,328,194,789,673,602,373,683,098,474,411,077,368,868,096,437,375,986,126,
977,640,429,535,206,661,628,979,768,584,879,854,120,032,848,642,808,732,567,
116,536,780,145,532,780,364,735,033,881,937,931,682,525,164,955,108,823,765,
647,419,379,793,981,420,687,126,164,342,996,449,391,952,066,581,900,145,487,
218,878,285,220,146,860,249,505,860,542,130,939,796,894,307,530,996,763,291,
371,923,302,992,750,379,895,775,657,716,820,509,125,867,852,907,949,097,168,
077,407,237,737,563,297,169,730,269,756,208,050,668,894,567,971,229,669,610,
973,502,186,836,693,392,109,081,063,515,680,039,311,787,738,792,084,912,790,
700,198,258,584,145,008,558,153,299,071,628,665,823,646,047,377,581,026,100,
531,726,864,892,912,656,194,357,412,736,419,751,384,724,021,876,932,605,108,
344,619,584,262,278,151,477,511,789,231,458,695,714,243,593,344,793,808,781,
678,930,355,458,629,580,861,223,856,901,143,367,024,294,212,376,603,612,998,
871,528,578,503,281,445,422,645,357,511,903,019,224,037,955,621,774,869,060,
755,689,416,091,783,369,282,404,727,870,396,289,549,829,240,547,443,635,550,
355,693,081,183,043,781,221,481,041,996,904,237,247,891,030,566,248,163,895,
288,846,718,525,986,190,079,015,020,511,127,394,744,522,917,872,237,482,705,
254,696,411,965,199,184,975,121,196,864,290,118,422,426,315,574,577,122,081,
617,965,983,709,467,231,830,267,425,535,415,160,374,435,151,949,383,314,141,
644,494,659,683,321,685,158,386,354,088,283,207,644,969,419,698,643,974,336,
293,218,741,853,528,616,794,572,874,942,088,376,282,119,208,171,683,380,309,
170,203,100,573,666,777,703,424,023,751,861,066,927,539,194,270,627,030,591,
673,225,547,318,848,931,307,373,327,556,638,057,867,302,318,174,124,620,780,
937,558,024,611,665,500,154,486,376,681,457,939,571,683,027,833,989,663,657,
431,396,973,564,913,241,463,367,002,231,649,461,733,446,300,474,326,547,005,
525,764,480,361,692,746,931,369,360,100,718,358,571,624,784,184,263,963,785,
741,931,510,912,575,821,598,340,599,371,210,835,991,773,388,618,942,340,863,
382,312,655,458,434,431,781,142,670,394,479,956,296,772,868,862,469,594,024,
861,262,096,551,114,512,973,333,224,358,702,486,514,957,782,712,241,341,216,
166,002,161,860,570,106,539,435,799,448,609,498,277,310,677,460,578,771,177,
625,462,617,349,511,528,572,452,272,346,742,890,466,266,243,967,141,936,587,
500,356,166,026,511,180,584,246,768,793,954,908,367,336,523,288,540,430,584,
085,015,911,782,638,567,122,183,276,313,883,822,149,018,017,927,730,095,166,
365,416,845,662,899,972,720,741,874,306,244,988,822,334,756,365,782,445,651,
555,553,952,836,281,402,430,433,708,747,083,376,711,068,807,547,124,589,226,
047,332,022,228,142,655,251,946,078,959,310,760,930,465,948,420,105,677,396,
897,654,039,961,388,536,769,795,637,173,670,231,828,130,621,209,419,006,009,
744,944,057,236,311,590,323,394,799,745,150,599,177,288,364,565,941,977,563,
931,739,736,607,782,543,496,905,815,191,574,046,316,990,615,447,227,799,025,
822,132,480,170,422,734,282,164,982,388,037,104,477,401,785,128,011,108,612,
523,158,524,247,610,377,952,668,695,681,558,140,496,051,307,832,851,400,379,
097,883,783,628,430,842,914,809,369,106,806,297,217,929,270,959,950,595,181,
132,458,837,450,034,990,795,400,726,874,674,308,355,200,325,726,120,539,221,
869,841,292,071,394,050,199,244,968,057,027,009,766,623,219,718,061,498,427,
548,833,742,798,084,108,572,632,787,168,341,992,302,287,336,894,076,117,388,
739,131,983,980,818,505,088,413,771,676,476,495,107,939,316,922,737,004,535,
394,688,894,637,755,594,025,236,672,424,235,979,175,833,427,545,391,924,319,
413,763,138,390,152,154,341,191,683,816,735,301,078,093,645,471,730,573,709,
528,586,048,720,044,600,049,394,087,923,048,008,737,919,805,709,699,344,321,
940,169,914,459,031,097,623,848,214,341,686,218,844,429,284,170,366,232,887,
566,182,660,954,684,815,507,544,179,129,763,574,646,627,113,738,585,489,718,
133,511,349,681,737,506,330,740,749,738,903,752,024,727,564,869,935,166,425,
793,820,172,938,487,980,772,166,708,703,581,565,544,135,732,241,189,183,292,
860,918,723,976,797,387,366,129,915,658,859,394,106,006,106,276,203,064,327,
974,757,369,301,686,582,965,701,828,908,091,182,810,090,561,920,237,650,325,
033,915,024,838,280,537,065,243,600,339,130,408,571,467,119,977,756,730,621,
241,644,756,430,834,640,571,791,267,704,168,386,017,781,240,528,016,911,150,
610,829,609,476,212,311,558,930,715,008,063,428,130,809,075,806,986,476,215,
769,284,002,456,568,058,692,224,159,575,394,307,245,610,788,296,235,007,015,
548,525,251,967,301,464,961,403,220,691,484,638,474,523,102,105,287,107,437,
387,457,865,606,831,105,475,031,834,116,662,312,753,498,672,843,071,293,298,
738,790,039,631,703,409,919,958,390,762,504,230,748,662,972,118,049,798,384,
635,518,369,451,532,713,554,634,214,176,000,487,012,449,603,875,032,440,654,
295,890,803,974,259,668,802,008,890,019,164,406,145,132,928,100,017,374,643,
730,971,435,181,656,143,402,106,055,624,420,495,709,213,307,888,536,855,208,
924,828,548,085,723,256,822,437,845,970,925,892,509,691,737,889,434,443,625,
168,754,249,498,656,448,254,991,204,092,012,703,293,586,598,985,573,132,790,
364,913,287,178,508,594,798,988,289,048,455,048,935,824,906,552,997,316,257,
494,989,975,248,778,450,779,293,995,347,276,018,934,284,172,700,668,731,931,
579,218,020,901,045,176,200,684,780,688,808,691,784,474,344,166,680,469,519,
009,435,644,242,600,835,445,812,576,957,456,065,443,390,090,380,457,332,913,
459,954,757,462,048,085,247,371,903,121,239,044,147,776,520,388,908,451,213,
774,500,184,183,427,786,025,312,758,361,615,945,906,084,454,023,035,855,185,
039,583,306,781,682,535,498,137,160,637,139,955,227,454,778,782,061,735,255,
430,805,638,835,740,960,436,760,516,855,249,964,108,754,750,811,570,983,586,
765,717,289,804,354,771,869,046,754,760,087,167,252,881,057,108,579,599,879,
612,804,489,354,189,910,922,411,194,024,477,240,751,030,023,171,717,833,443,
685,657,698,337,388,681,933,995,479,606,030,362,888,167,962,485,385,439,854,
373,664,338,910,034,008,143,243,238,889,964,304,251,739,370,041,467,011,520,
835,021,951,253,139,764,160,834,461,086,185,220,235,858,814,990,133,514,413,
399,841,049,488,565,335,203,235,626,734,542,794,778,894,325,985,689,619,505,
002,110,953,925,257,724,414,243,796,487,967,172,752,173,323,206,023,866,577,
996,757,753,239,378,175,126,436,130,539,982,819,715,637,886,142,261,978,001,
802,514,464,132,309,664,292,955,948,033,141,572,456,294,028,013,446,389,555,
216,747,688,125,358,322,865,802,985,141,032,190,152,213,184,491,244,521,614,
426,337,287,602,914,149,688,470,611,728,594,657,221,043,607,589,631,591,680,
240,877,794,621,039,988,278,366,161,525,421,734,847,016,313,643,865,415,345,
524,377,889,597,798,000,275,894,738,903,300,886,314,933,657,770,894,010,671,
253,382,578,192,837,440,116,327,539,959,225,095,040,796,036,789,338,885,567,
090,902,130,410,074,375,740,361,070,538,529,629,062,304,404,184,472,945,900,
419,247,186,180,605,643,721,736,880,041,190,526,126,670,363,155,519,806,610,
711,348,695,085,450,485,698,167,078,255,344,879,620,535,438,479,789,603,939,
446,350,746,845,200,495,342,471,893,175,395,510,671,802,479,326,227,571,057,
931,253,890,403,620,352,757,338,663,933,701,737,687,783,274,990,054,803,485,
117,838,753,419,749,898,201,012,762,778,182,110,667,907,296,508,530,417,777,
115,246,356,615,803,198,085,519,555,618,703,328,990,557,669,156,148,543,192,
246,489,449,588,186,458,815,396,070,329,144,268,992,665,122,942,044,606,984,
528,561,323,606,124,026,178,725,559,151,029,461,438,577,621,332,540,692,378,
182,061,091,826,529,144,654,008,732,148,790,139,609,666,416,801,464,698,799,
557,302,750,728,964,846,511,898,195,438,117,387,295,276,432,599,799,942,408,
048,303,421,525,461,755,621,380,435,081,861,053,529,718,076,054,243,820,706,
021,257,500,213,561,622,612,733,952,192,455,876,622,657,333,712,502,060,024,
837,264,786,068,575,837,121,286,652,907,398,927,586,929,671,510,675,473,064,
353,990,686,299,144,507,637,633,183,899,357,789,515,880,225,898,359,595,989,
450,042,395,175,832,402,328,182,465,349,167,638,880,066,055,045,966,473,084,
524,877,228,183,719,081,196,272,753,832,771,016,678,688,512,717,358,457,849,
980,884,556,531,420,311,376,438,716,776,266,909,370,605,651,145,690,401,959,
468,813,520,387,931,430,283,243,486,026,988,097,500,540,665,179,123,086,289,
664,344,106,421,892,743,468,812,110,096,515,095,051,096,845,912,790,513,733,
192,593,454,737,966,445,252,268,703,511,881,517,972,991,869,736,349,650,967,
282,990,754,634,878,738,722,564,382,216,085,078,926,774,225,930,881,068,478,
359,640,790,382,007,933,913,381,443,080,686,351,514,537,146,261,961,036,753,
846,135,122,823,322,443,129,705,270,300,239,299,238,423,054,856,948,305,361,
800,371,967,712,090,481,815,170,378,949,478,589,549,193,968,004,849,452,897,
788,907,881,877,264,487,347,143,586,295,953,500,197,411,040,001,325,139,045,
793,160,420,938,960,029,061,320,676,785,147,465,647,472,850,747,816,237,328,
688,014,049,809,346,493,245,775,800,070,689,166,238,915,995,325,530,341,768,
326,243,532,603,082,773,048,648,118,994,238,402,943,600,020,527,111,933,378,
098,099,526,546,237,804,836,969,784,578,217,849,117,341,810,186,818,470,372,
283,556,989,329,546,142,364,312,235,761,320,503,641,967,720,192,014,527,558,
767,577,576,798,360,807,123,741,610,553,050,436,068,351,703,494,902,582,057,
170,510,465,219,177,711,990,371,242,611,318,477,179,708,951,854,946,550,104,
154,984,097,233,986,975,683,787,562,801,991,261,521,713,961,622,222,457,160,
908,181,498,016,602,592,485,660,112,832,496,561,057,563,449,673,716,962,501,
820,619,863,407,580,575,243,817,818,025,041,868,825,204,996,917,556,733,097,
471,345,100,245,719,424,950,728,395,731,758,000,084,178,493,563,384,897,211,
735,571,500,530,967,883,659,293,074,704,292,201,473,151,379,421,678,655,140,
838,388,579,023,966,770,567,005,892,926,550,525,019,036,861,463,951,828,761,
919,392,470,328,377,468,314,932,130,790,393,171,562,407,617,998,197,233,973,
354,219,714,659,657,684,742,296,656,633,309,056,477,620,778,377,176,542,667,
127,930,517,601,045,941,759,244,445,546,828,913,103,079,151,491,206,931,445,
312,002,656,414,593,644,167,101,180,276,777,036,926,096,809,769,706,173,149,
319,101,706,186,497,888,692,465,274,524,562,676,544,919,091,102,271,738,246,
533,552,589,220,788,241,904,733,042,574,885,538,467,912,536,139,042,340,384,
254,619,943,026,606,256,874,230,062,157,026,116,912,373,072,720,951,914,553,
374,352,625,352,341,758,552,333,557,756,659,739,939,697,785,703,017,026,943,
898,445,376,510,869,973,210,626,901,117,651,806,575,227,033,169,776,948,043,
250,791,926,654,799,738,774,487,832,817,897,148,001,651,632,657,550,804,210,
862,586,858,901,540,038,601,256,772,746,502,061,094,300,496,736,636,181,921,
994,534,555,462,171,486,630,029,049,478,677,570,523,672,480,940,587,150,403,
461,551,263,125,786,472,112,127,251,123,001,818,606,428,394,974,463,109,650,
708,388,896,568,974,710,887,768,001,873,688,729,421,176,910,586,083,958,502,
264,415,469,932,183,846,445,761,761,018,536,609,884,175,319,188,913,698,251,
926,843,104,908,598,046,565,320,908,235,163,630,841,099,157,050,330,225,758,
339,499,085,792,928,141,892,700,593,572,882,696,109,662,138,046,169,959,956,
140,641,996,502,869,605,860,392,432,541,112,771,285,553,734,277,995,485,291,
493,934,689,866,808,040,213,462,796,295,337,912,514,801,791,195,242,604,561,
187,292,656,000,947,177,484,897,326,664,375,106,392,413,559,860,701,160,871,
337,490,797,667,971,041,135,803,707,784,469,622,902,106,757,251,157,893,365,
106,164,822,660,147,105,988,395,487,813,319,502,952,553,285,505,886,507,650,
645,341,127,786,632,509,419,384,232,492,343,286,212,307,402,472,599,888,529,
662,585,065,235,297,985,558,915,216,867,992,153,563,653,488,769,537,237,520,
278,125,210,231,140,008,673,977,679,278,753,367,686,898,465,488,566,919,123,
219,452,087,032,190,387,559,787,916,867,569,218,024,756,815,909,407,690,101,
033,538,507,024,565,238,540,865,404,138,556,188,314,707,880,026,826,113,412,
362,001,130,164,455,612,552,860,003,034,221,213,538,474,595,902,564,512,287,
700,979,247,673,172,242,896,792,157,174,844,557,829,527,255,246,640,930,605,
840,170,821,491,069,826,856,919,412,602,972,696,153,249,507,052,182,140,422,
839,609,651,604,686,168,937,001,605,054,885,687,919,050,845,825,436,596,453,
360,441,145,653,468,920,099,979,534,520,467,712,379,598,512,992,330,174,304,
359,490,107,078,698,739,349,898,545,814,934,187,295,241,779,311,254,739,043,
357,562,826,292,170,925,255,333,883,966,281,485,084,328,791,211,882,892,163,
274,057,841,145,966,037,646,895,506,110,245,896,606,176,583,036,947,779,303,
398,906,460,928,361,418,662,210,011,092,764,486,010,938,963,838,831,760,231,
098,216,380,703,150,400,915,835,452,242,469,815,616,995,842,023,064,248,506,
307,281,403,276,506,918,890,048,727,921,044,026,871,681,240,347,448,628,782,
190,076,573,753,293,542,657,854,609,999,075,098,452,044,380,591,444,362,203,
499,597,096,952,869,980,107,210,251,192,507,491,286,570,970,790,579,673,560,
750,810,914,402,448,356,488,442,286,048,999,895,013,432,004,402,634,034,609,
556,266,963,104,650,657,183,532,444,855,856,671,092,661,855,297,290,568,396,
015,540,798,971,912,037,697,526,479,866,640,153,833,721,103,381,847,622,388,
949,041,286,462,075,110,177,796,033,566,917,108,586,590,942,091,338,891,898,
952,105,165,040,877,788,554,670,938,981,823,987,380,633,483,350,401,795,754,
528,887,381,215,624,396,538,826,789,006,954,040,470,266,193,112,537,769,654,
151,371,083,048,285,100,379,433,419,103,116,754,448,061,346,040,824,834,194,
956,326,928,257,172,476,352,040,175,151,206,582,045,792,415,845,928,983,861,
302,463,061,004,977,589,199,069,294,964,204,164,692,483,962,497,052,268,500,
060,732,331,840,132,241,638,454,787,502,176,933,740,406,522,005,851,791,021,
542,121,577,615,099,878,273,156,316,061,707,067,517,455,241,300,279,629,976,
354,966,822,339,704,955,359,113,442,186,675,980,072,310,252,076,665,755,975,
746,546,413,047,328,953,463,603,267,453,384,679,819,520,090,123,554,705,168,
707,712,576,952,540,343,629,909,158,699,308,760,687,532,914,923,615,569,252,
431,049,703,380,651,481,853,696,622,737,036,168,238,063,618,471,324,358,141,
915,341,279,753,243,303,242,076,996,107,065,820,719,663,001,359,808,284,643,
678,583,409,326,458,298,747,641,169,402,282,791,391,994,083,728,549,278,085,
961,696,937,016,850,477,123,660,425,473,062,613,776,458,233,590,261,029,115,
768,793,342,401,932,946,428,897,589,105,445,399,018,341,279,988,605,068,098,
656,517,072,010,481,381,151,475,971,619,348,019,018,134,841,403,582,189,988,
693,297,483,981,596,071,884,673,520,719,640,660,533,555,803,751,992,178,642,
142,996,897,840,074,965,890,702,720,729,119,569,556,305,147,089,889,444,068,
404,658,907,493,350,227,650,093,873,606,879,159,720,339,153,381,179,165,472,
692,202,993,687,934,615,728,677,283,378,840,734,824,898,955,496,959,159,640,
749,585,689,661,961,536,649,059,294,422,952,734,261,595,082,317,348,506,509,
528,318,136,590,573,897,196,766,928,233,805,963,062,556,907,484,728,140,456,
958,959,035,216,870,372,735,507,672,251,081,138,011,307,651,036,175,143,062,
665,254,603,992,542,076,075,332,738,728,272,756,797,225,289,565,902,732,266,
663,581,568,202,958,521,884,460,656,586,923,069,914,258,539,309,213,340,437,
907,283,609,171,369,220,621,536,805,975,098,588,097,498,057,293,820,279,539,
691,628,877,959,297,429,297,390,968,686,968,804,315,023,789,522,495,255,880,
131,261,885,595,861,006,144,127,505,719,374,835,183,290,683,318,469,200,079,
341,285,039,321,485,411,975,093,180,086,591,962,093,698,471,066,003,818,177,
183,608,279,301,235,192,734,776,715,498,918,870,091,631,206,736,659,277,155,
646,173,527,937,086,386,940,900,033,391,572,620,093,586,848,026,623,570,771,
320,608,723,554,789,274,521,100,144,380,145,920,868,954,241,658,114,643,298,
702,330,065,245,628,781,011,423,333,086,661,772,910,860,301,277,851,959,641,
371,790,500,716,447,794,547,220,256,543,219,951,049,758,234,783,677,797,859,
813,737,477,535,387,318,610,298,718,491,078,590,663,401,987,739,893,674,132,
322,541,918,525,995,217,669,983,821,934,174,692,944,199,198,013,261,017,238,
753,169,004,710,125,024,137,151,465,084,923,823,401,536,288,797,830,371,911,
183,054,125,836,799,308,436,114,929,149,622,545,678,732,281,988,534,998,019,
263,619,764,974,239,971,782,957,950,175,153,456,154,887,671,739,212,689,024,
832,532,779,383,886,147,273,904,346,582,564,344,779,320,702,261,921,155,662,
330,310,523,336,316,448,703,740,717,148,078,865,161,280,924,698,836,955,503,
158,350,457,694,693,195,410,958,134,104,291,331,849,730,665,325,733,702,218,
492,298,544,800,656,437,156,184,785,810,549,309,750,953,134,176,233,560,717,
957,133,277,314,148,850,986,204,926,515,454,802,482,445,499,396,641,833,871,
572,432,468,023,763,055,995,104,282,473,831,015,236,910,621,228,509,651,117,
825,728,955,434,086,039,615,404,493,697,290,390,549,564,594,366,038,712,106,
098,578,947,150,441,819,865,576,217,536,758,981,934,115,159,456,484,175,017,
369,743,257,529,191,111,701,554,627,152,704,297,021,153,211,941,896,784,480,
723,630,812,240,599,643,227,855,629,481,943,480,419,356,208,094,835,402,014,
035,174,271,989,539,990,480,248,904,818,450,761,968,779,129,200,202,415,084,
258,363,678,673,341,517,187,755,963,536,720,090,734,174,586,208,945,465,665,
271,248,302,261,029,478,407,103,359,063,307,594,104,365,559,285,121,018,692,
330,363,121,202,560,447,462,258,717,290,379,129,354,120,309,649,626,767,138,
614,690,192,982,354,808,025,316,740,087,934,910,829,791,153,024,550,824,888,
071,426,541,754,326,683,178,072,766,048,160,160,652,330,530,783,441,717,778,
859,121,176,809,665,090,221,542,346,907,012,000,871,881,406,773,934,456,942,
560,963,957,634,043,834,747,400,174,733,973,875,941,981,519,119,268,271,071,
705,654,662,963,261,134,719,677,989,494,322,111,104,031,548,001,510,752,674,
069,591,487,607,361,147,772,541,280,060,543,250,616,578,248,483,332,175,956,
548,162,780,301,448,313,907,574,696,570,773,511,982,841,489,192,354,852,842,
383,315,778,617,037,684,458,254,229,897,527,283,697,056,488,417,729,288,656,
004,938,375,739,738,995,560,879,523,616,964,890,978,594,066,519,704,090,973,
731,054,579,004,070,203,215,929,544,651,240,336,501,892,231,761,323,159,982,
662,984,882,488,075,790,048,633,938,039,917,509,130,733,652,314,376,751,045,
026,031,034,382,558,013,224,628,021,176,784,143,676,588,214,747,523,741,196,
728,487,573,400,073,257,937,575,356,878,231,422,334,427,495,560,646,164,039,
107,923,651,869,589,709,719,306,076,263,585,689,292,216,833,078,754,667,142,
584,696,504,045,075,087,306,310,732,756,926,816,254,730,492,064,162,536,374,
021,093,599,172,736,813,338,297,299,340,964,837,160,390,993,381,049,976,328,
069,278,847,165,943,328,488,172,106,946,616,020,092,874,191,014,191,690,486,
855,716,264,655,143,016,814,362,259,606,591,771,060,220,015,327,107,625,403,
690,076,443,612,650,338,118,082,488,172,268,125,975,660,859,402,719,196,718,
612,040,300,284,246,504,804,674,207,858,427,640,659,090,285,197,903,551,258,
039,826,686,488,785,305,459,353,826,272,322,667,756,926,087,572,448,804,192,
149,789,301,489,539,830,745,904,672,707,723,800,721,348,500,746,450,778,050,
729,683,138,239,710,261,338,313,916,266,913,791,863,750,565,443,054,717,073,
259,722,661,221,609,561,013,357,373,120,851,236,366,686,769,965,241,295,814,
107,599,711,032,797,227,429,106,202,883,973,068,429,560,707,614,201,109,464,
264,928,215,062,574,134,364,905,346,114,449,833,327,394,217,290,007,985,218,
196,064,896,067,519,345,196,468,286,974,557,734,236,214,727,916,393,739,020,
823,634,113,614,558,665,723,488,311,060,685,178,220,435,022,731,321,596,546,
313,272,059,835,237,740,505,728,238,242,282,217,681,722,997,315,014,016,365,
969,712,149,687,900,037,740,683,008,553,193,525,876,983,509,095,136,570,250,
669,117,063,665,863,307,294,082,217,683,878,173,979,741,314,902,819,009,429,
552,379,273,281,082,857,420,020,360,038,761,154,608,063,100,420,255,036,436,
690,610,379,159,884,173,536,458,910,244,563,695,529,142,157,354,232,016,206,
091,684,525,805,070,875,672,741,907,779,057,334,793,740,677,599,632,039,908,
591,827,815,852,278,879,422,823,191,311,010,164,385,526,547,614,760,940,971,
905,627,613,871,011,330,592,525,740,997,100,165,962,784,174,913,515,554,838,
472,764,684,062,887,364,815,857,733,829,735,518,135,228,084,959,403,691,435,
629,856,865,008,632,757,837,576,243,305,638,052,210,110,603,512,835,451,919,
108,941,508,000,649,992,698,782,193,892,731,135,155,387,239,390,348,090,537,
432,738,666,009,932,025,595,974,678,257,203,029,156,635,549,254,805,242,594,
922,405,393,604,473,189,788,978,305,934,062,445,027,282,084,835,542,672,086,
608,094,671,492,157,528,885,200,699,684,468,102,444,134,364,263,664,457,017,
690,750,801,733,143,529,076,190,817,635,281,276,198,272,200,781,445,738,130,
786,116,603,899,897,071,395,471,528,093,219,557,109,196,066,206,567,567,705,
099,507,736,462,840,052,725,591,236,031,071,546,071,740,742,685,687,638,579,
477,472,805,778,810,788,017,572,446,197,650,480,982,874,269,646,383,333,437,
790,836,763,299,109,639,339,329,892,262,388,755,602,346,858,543,529,939,000,
588,716,291,897,091,233,568,050,148,161,689,368,216,905,637,372,745,498,218,
056,237,571,563,128,753,524,730,138,803,256,463,283,676,008,813,194,184,068,
383,211,225,992,409,885,780,526,139,623,568,149,240,689,055,815,330,088,797,
429,449,160,099,703,269,595,810,294,637,373,941,423,733,282,098,376,310,131,
986,014,574,376,329,094,251,960,660,928,873,649,373,544,540,107,057,573,794,
750,278,567,490,943,339,835,890,012,021,454,162,758,430,426,222,437,622,885,
352,864,481,220,295,107,379,109,551,161,955,703,749,374,643,723,744,225,822,
784,968,118,002,756,515,143,009,481,322,468,319,334,181,081,293,919,544,439,
052,162,131,321,218,948,526,122,038,440,091,532,525,742,264,274,828,415,887,
342,669,395,861,929,253,059,384,816,490,539,327,139,849,797,396,341,897,197,
296,766,717,683,065,239,789,826,886,825,737,404,526,024,840,281,120,304,253,
185,155,403,280,464,354,586,382,105,308,636,046,945,933,164,056,059,200,419,
653,188,108,387,336,367,310,813,646,848,095,428,887,196,818,860,491,861,626,
575,149,441,132,553,676,892,815,721,038,772,889,386,381,563,707,452,881,638,
607,893,864,061,313,260,811,331,742,201,462,352,037,969,834,822,877,213,651,
056,904,373,664,291,690,568,730,047,503,673,331,014,699,976,830,443,513,014,
265,407,226,233,073,149,333,551,318,378,678,758,523,110,351,555,732,706,925,
739,429,196,873,875,043,401,783,243,326,783,242,248,467,090,133,056,357,694,
728,866,733,823,655,250,352,027,319,055,826,241,226,253,031,261,385,460,989,
869,488,244,701,814,076,379,022,499,201,477,116,397,704,520,215,702,463,358,
722,015,313,611,824,163,732,918,478,662,996,705,148,320,910,538,052,715,561,
882,122,011,598,958,556,285,909,302,961,154,406,182,004,506,881,421,549,719,
187,203,597,806,496,393,576,224,054,967,241,523,254,089,849,334,758,297,436,
841,777,821,150,663,158,722,826,033,668,305,108,329,391,263,404,719,446,576,
183,745,852,054,020,311,711,439,644,623,046,341,038,724,744,979,383,168,813,
626,299,485,378,886,380,032,894,420,839,294,952,070,588,740,737,678,279,287,
709,063,803,934,229,140,279,838,063,813,572,653,624,957,495,167,633,303,373,
628,798,016,623,156,123,549,995,234,827,746,247,421,555,725,631,747,888,425,
434,222,891,626,093,736,885,496,224,913,146,945,876,024,935,235,828,681,985,
671,230,705,971,658,888,209,759,658,104,404,270,351,783,736,837,122,244,529,
713,637,522,294,012,531,077,930,601,447,108,966,423,251,636,327,171,670,659,
995,465,178,054,570,231,658,596,983,937,907,543,955,186,635,060,841,335,727,
403,911,137,976,791,352,921,489,024,025,318,995,985,102,848,588,351,519,292,
727,621,191,521,509,961,305,352,122,984,657,088,477,528,120,009,546,428,351,
142,813,494,840,689,638,737,979,595,585,373,248,410,008,166,484,224,351,000,
347,546,292,026,356,966,161,811,558,184,528,057,348,519,144,879,939,663,981,
186,622,565,595,840,590,919,928,831,605,520,774,327,178,130,894,197,936,839,
287,890,374,088,485,199,345,578,092,512,461,773,036,446,846,205,573,834,171,
715,362,266,840,795,812,553,314,483,251,212,250,634,920,227,953,208,803,118,
373,563,998,003,816,198,318,556,789,097,858,295,808,125,611,670,551,252,609,
720,500,581,594,077,684,692,286,554,923,049,256,069,576,442,150,504,866,707,
546,558,025,682,218,876,270,814,201,161,435,277,523,911,783,560,393,469,147,
902,742,299,831,926,430,301,892,870,981,069,828,808,075,423,129,874,587,453,
511,984,403,419,986,123,967,889,221,988,615,937,924,913,278,596,833,472,071,
480,888,116,874,150,130,114,521,713,511,760,710,251,923,093,403,413,658,864,
340,950,005,741,219,050,941,254,772,152,367,687,322,645,905,424,661,874,377,
897,438,417,956,457,228,434,375,013,879,095,461,265,005,362,198,093,115,965,
447,871,915,096,784,621,366,868,784,528,088,545,680,802,726,155,763,709,105,
289,952,748,523,826,841,011,983,176,318,954,138,726,027,561,833,720,809,651,
376,556,693,880,186,843,822,853,053,579,413,632,655,226,733,432,540,477,548,
026,829,728,778,096,895,251,734,181,715,558,324,158,004,748,030,069,822,568,
421,376,456,664,818,474,821,200,062,933,836,377,846,046,913,034,902,381,771,
610,622,196,440,747,292,620,113,603,102,737,154,711,300,680,819,496,069,952,
399,588,966,427,001,360,952,893,139,815,318,047,306,884,868,325,447,486,416,
658,473,787,235,745,494,664,042,141,286,183,259,656,548,901,357,220,540,252,
378,925,614,077,587,775,925,127,029,502,286,362,755,283,530,815,403,371,418,
060,371,375,933,896,732,791,249,698,615,661,452,401,145,607,291,762,149,479,
675,213,953,956,239,904,978,120,859,093,451,231,548,173,756,462,987,459,775,
174,792,308,212,042,431,335,571,884,300,284,554,081,269,048,601,630,832,693,
550,361,699,514,112,397,654,985,731,928,427,862,765,642,056,494,846,471,592,
491,330,565,334,409,134,384,066,125,185,279,840,493,831,112,797,640,929,353,
098,257,156,669,096,738,090,771,817,648,215,542,677,639,865,799,431,736,066,
842,443,727,925,053,629,638,886,121,337,708,362,844,416,039,998,807,052,260,
954,174,789,384,378,814,053,870,127,193,383,803,491,178,003,381,067,297,887,
124,852,246,687,302,394,202,419,624,786,451,685,863,120,741,825,412,825,400,
924,767,137,184,117,913,019,992,548,012,552,109,755,982,986,677,405,202,447,
147,977,289,586,281,966,864,159,816,658,969,444,976,461,906,248,460,823,892,
293,236,587,752,226,615,497,848,251,119,086,439,278,463,170,438,641,046,938,
491,012,215,938,942,118,747,512,765,189,863,813,565,580,950,430,139,026,298,
177,590,317,463,456,182,769,644,700,712,253,891,864,618,531,644,490,007,298,
941,875,894,857,260,510,046,280,192,078,665,555,957,948,036,632,425,779,149,
339,029,839,759,407,200,635,023,623,083,963,426,475,627,532,077,778,879,787,
565,083,412,412,248,342,681,930,626,246,560,863,019,504,351,844,141,371,884,
198,381,904,939,893,453,570,099,420,511,923,962,825,695,819,863,579,921,203,
788,458,435,947,464,101,333,728,377,438,922,037,215,772,886,453,791,873,553,
431,306,776,614,503,304,910,839,981,448,885,604,032,170,650,661,426,563,380,
977,338,850,066,112,236,622,353,935,504,392,159,213,556,657,969,623,385,771,
016,358,849,688,660,346,758,613,925,063,096,838,086,670,532,449,422,797,272,
479,167,978,611,646,465,537,881,370,604,370,016,683,336,723,831,260,258,190,
687,012,983,718,140,687,951,771,909,218,049,739,848,576,755,682,341,599,322,
014,469,615,060,546,277,682,499,149,308,170,560,656,842,296,348,752,662,969,
094,407,421,862,572,060,626,138,682,027,954,182,589,095,719,562,517,964,289,
400,765,523,699,091,397,580,758,008,287,070,658,949,702,225,983,127,306,973,
033,419,115,612,712,185,208,377,123,489,939,695,908,523,707,815,093,972,746,
277,937,191,773,667,338,338,735,511,053,443,642,616,350,158,918,857,609,595,
608,941,256,599,836,376,166,091,418,725,564,360,063,209,866,554,237,448,806,
807,653,157,199,124,422,481,573,596,884,796,413,176,560,766,791,431,425,777,
617,185,432,780,630,852,004,474,388,583,559,885,735,924,252,630,261,013,188,
379,397,958,119,099,181,533,720,623,634,081,473,138,259,408,395,918,766,262,
648,113,727,614,936,370,867,738,163,080,074,642,562,548,737,000,800,148,283,
648,433,838,449,688,447,817,258,289,727,740,668,076,641,153,284,686,157,125,
192,308,034,109,944,811,363,620,517,191,752,093,705,128,786,418,816,250,880,
488,249,562,135,666,852,258,369,031,479,627,067,742,413,345,665,789,167,293,
512,798,456,924,360,698,904,327,619,968,679,892,778,127,829,688,212,417,715,
004,970,769,791,606,180,123,357,359,207,830,301,105,487,259,614,542,644,994,
400,639,823,352,927,135,846,445,307,715,587,645,683,654,973,378,632,234,098,
385,062,095,942,967,236,256,230,199,347,329,372,784,271,226,485,205,808,560,
112,456,678,332,999,106,667,102,462,681,079,065,990,678,085,703,901,501,518,
689,762,412,800,301,423,967,481,626,676,277,737,692,228,897,714,054,928,196,
547,709,843,545,530,731,423,723,799,764,027,047,812,898,502,910,323,410,231,
784,291,674,857,823,710,976,757,680,585,295,714,963,252,403,729,820,326,339,
525,123,117,341,343,293,468,347,148,678,155,819,013,449,335,864,186,930,288,
179,338,156,359,123,204,128,309,857,386,277,014,689,605,758,791,883,464,865,
866,602,765,891,796,313,377,255,512,562,616,373,922,764,373,511,800,568,216,
718,109,749,008,635,056,346,472,744,231,044,726,747,819,660,138,991,976,659,
543,984,013,378,429,810,814,286,990,172,234,335,753,809,623,876,649,464,152,
671,593,514,870,858,480,758,538,754,736,687,500,467,931,141,044,342,562,971,
334,023,989,705,340,720,398,872,952,967,204,997,947,585,267,931,008,553,012,
055,410,618,987,158,533,009,804,394,756,898,203,915,217,805,815,227,139,989,
239,410,096,179,372,727,723,993,510,737,197,586,774,684,990,355,741,064,192,
809,461,427,588,976,085,066,637,105,466,285,900,690,360,395,759,449,989,389,
972,724,485,879,741,433,743,461,503,464,321,534,594,072,854,733,079,303,656,
345,088,153,573,551,126,888,062,830,153,376,710,194,550,405,228,203,309,679,
985,601,788,556,208,712,875,929,186,579,388,045,778,488,945,643,043,978,623,
913,553,089,572,097,366,936,781,244,592,866,606,411,310,886,832,262,842,118,
320,663,827,209,739,637,256,495,387,394,248,387,825,534,217,703,078,473,458,
520,275,824,338,183,081,649,074,178,879,903,240,568,498,888,187,366,601,739,
931,148,814,261,703,179,484,544,868,037,460,933,133,627,489,115,858,042,008,
800,029,905,212,846,649,794,792,830,882,104,472,542,298,420,337,305,138,240,
887,416,339,435,934,465,674,028,814,409,315,749,266,446,924,475,774,121,906,
255,971,897,147,312,101,439,390,340,814,942,704,002,773,015,342,438,360,396,
218,042,508,310,582,686,349,255,320,276,953,776,224,267,597,039,212,424,618,
930,182,403,216,556,585,738,349,093,861,251,096,209,991,159,571,817,351,106,
272,362,592,759,249,328,461,569,549,862,731,249,412,703,800,154,857,771,541,
900,978,836,744,292,506,756,945,795,595,775,805,147,265,610,599,735,620,330,
430,809,395,524,563,515,007,037,691,618,956,657,737,153,088,146,556,214,496,
391,935,697,007,684,453,665,062,517,410,301,944,022,282,392,266,396,659,253,
197,648,896,514,267,112,974,102,108,712,003,535,566,668,947,371,075,382,370,
668,969,917,791,620,568,235,576,128,580,437,491,325,357,065,841,142,946,456,
994,866,315,806,476,704,701,442,099,392,578,290,507,538,949,771,213,283,233,
691,380,231,713,594,268,990,852,703,786,697,314,092,193,642,891,681,028,067,
157,708,661,250,852,290,646,262,569,710,022,119,154,929,518,393,432,025,050,
613,652,228,847,825,695,588,066,152,167,570,815,593,601,881,848,013,594,630,
485,857,755,078,905,546,084,668,869,221,078,602,737,404,135,830,431,700,181,
389,588,139,054,034,554,248,321,717,672,683,637,348,558,463,072,204,521,276,
777,440,621,193,458,871,543,002,411,567,961,558,620,045,881,229,911,950,446,
474,824,821,458,996,593,358,669,792,005,767,589,966,188,504,280,686,999,179,
742,322,419,872,796,217,209,926,988,255,392,823,875,567,983,379,584,325,193,
994,530,558,665,123,789,231,168,038,436,087,959,286,121,518,994,765,579,036,
456,411,425,564,624,500,188,858,661,579,396,343,943,116,473,764,114,297,509,
408,836,916,970,442,884,482,514,853,683,066,510,413,954,155,833,665,073,939,
713,650,521,661,445,489,307,661,173,082,623,307,493,026,875,990,054,708,605,
189,869,388,312,731,242,905,849,999,046,426,863,696,033,020,319,517,165,402,
409,540,199,081,139,470,919,350,827,203,539,821,020,848,805,957,419,235,775,
792,224,041,139,251,191,789,705,489,661,694,252,959,963,677,172,750,643,519,
885,969,958,238,846,906,707,927,068,737,368,647,680,401,284,318,314,118,043,
671,111,568,818,196,596,082,375,836,543,286,226,802,759,092,316,637,973,310,
901,791,512,124,005,847,624,689,370,900,827,655,406,854,716,837,748,177,608,
839,269,214,881,715,950,895,438,688,939,951,266,997,845,536,799,981,283,628,
780,592,477,797,348,075,305,538,784,863,265,854,067,512,727,260,595,661,812,
332,678,592,897,722,934,200,536,077,144,996,600,195,660,022,381,720,287,433,
227,840,348,523,830,401,590,878,833,228,492,167,978,906,884,717,961,004,252,
546,825,965,282,595,521,498,895,253,043,462,404,075,626,781,150,815,637,000,
944,845,260,582,535,993,366,517,621,395,601,448,182,717,904,132,142,339,623,
272,908,422,015,589,189,450,550,159,141,347,568,616,919,986,816,327,669,183,
196,513,656,420,516,922,394,728,248,762,860,572,553,203,579,121,536,894,872,
249,429,727,095,368,428,631,845,237,640,007,189,999,224,314,849,684,163,565,
143,481,869,068,875,147,487,431,851,517,534,067,577,711,365,070,304,781,325,
369,252,672,836,144,351,244,413,540,767,832,666,062,607,952,315,628,984,831,
509,294,200,294,669,800,370,659,936,436,294,452,297,921,638,163,968,302,618,
734,157,428,286,014,759,319,185,628,988,549,627,918,323,032,868,574,919,973,
269,399,746,324,581,107,374,073,401,062,466,955,065,448,020,219,089,462,747,
254,863,488,767,110,451,299,718,389,497,923,875,148,954,340,834,283,282,505,
759,837,822,229,167,471,769,126,683,963,807,865,039,733,603,660,409,632,527,
132,441,632,649,316,754,869,507,387,135,354,455,066,578,400,098,134,414,331,
032,261,282,893,068,337,735,080,601,454,090,898,495,799,198,617,160,892,482,
066,980,667,972,443,324,145,487,950,920,244,612,988,070,782,974,326,186,730,
694,875,127,897,566,313,339,848,947,664,943,787,377,765,171,405,290,810,133,
472,989,839,084,750,039,512,535,938,602,690,255,473,679,837,783,066,885,509,
407,012,181,354,652,193,671,144,246,117,651,171,220,587,404,861,319,224,375,
817,551,991,129,752,661,447,306,355,443,684,021,493,209,621,903,261,832,237,
275,107,367,234,457,442,484,903,365,096,539,530,149,387,625,133,133,751,611,
600,889,641,352,472,102,147,679,137,808,137,288,100,833,271,418,325,175,205,
717,259,836,102,772,328,294,785,104,641,079,809,534,039,910,574,704,678,612,
726,814,635,659,461,850,599,150,595,853,178,880,927,548,846,650,307,089,821,
485,456,111,486,426,885,803,522,085,392,641,562,892,314,692,859,488,319,792,
247,651,397,596,267,554,575,050,782,049,703,843,523,552,347,369,697,929,326,
334,482,187,002,548,915,592,162,073,014,490,022,163,802,522,370,355,315,703,
401,859,860,109,362,590,415,102,534,929,043,495,886,160,121,426,723,863,412,
023,658,301,811,810,601,865,684,598,624,653,607,935,882,106,941,863,451,857,
993,953,062,018,290,595,129,100,026,521,134,751,232,019,265,750,972,944,847,
486,428,671,586,907,605,465,262,330,987,558,207,675,714,690,263,699,190,385,
832,791,717,673,668,305,720,554,647,176,021,022,274,287,680,883,468,535,570,
576,138,446,140,168,935,388,866,743,667,863,523,565,689,128,683,852,015,739,
631,853,193,693,416,428,082,987,718,962,656,402,045,683,250,462,707,999,918,
708,955,294,932,762,104,028,097,991,590,066,579,393,265,799,963,767,158,450,
126,383,676,346,702,704,689,073,789,980,952,842,792,269,791,372,793,278,464,
568,453,371,527,789,672,044,278,712,504,224,782,466,081,765,664,570,113,401,
548,981,702,903,813,328,919,591,072,868,614,073,007,850,088,672,136,346,163,
868,374,028,012,831,275,733,679,079,353,558,663,200,645,778,589,182,608,863,
672,045,456,828,242,022,633,954,655,959,734,767,602,782,177,784,542,237,794,
528,463,823,328,285,499,858,349,587,177,624,420,838,427,697,304,261,484,449,
330,234,369,437,826,511,272,656,484,295,194,329,235,602,636,901,942,572,535,
174,342,063,299,789,479,029,742,723,915,403,197,659,412,020,798,875,420,599,
412,815,149,861,084,930,814,659,847,250,368,203,037,938,027,799,093,762,492,
657,652,798,684,360,821,112,026,152,607,417,900,348,599,678,594,199,845,495,
158,157,396,127,615,555,377,092,933,441,869,345,377,957,631,564,887,120,114,
047,610,765,888,216,390,559,006,638,671,587,318,944,886,257,467,069,731,254,
140,626,950,011,709,259,439,088,130,643,321,039,600,520,678,082,479,629,151,
338,058,795,940,903,224,579,637,740,203,923,021,465,493,368,290,425,520,260,
137,366,086,536,515,221,072,178,692,499,190,120,575,878,393,292,097,344,739,
568,138,561,399,778,132,073,678,909,610,591,375,222,165,049,985,141,741,854,
166,537,655,003,192,961,769,051,479,078,355,984,086,593,392,192,510,338,217,
959,057,064,071,600,281,468,805,811,342,545,011,776,283,126,649,662,977,834,
681,738,596,230,215,907,132,992,639,198,381,863,355,066,799,281,547,797,836,
208,256,438,892,150,565,555,504,590,487,958,383,714,467,438,460,712,455,497,
561,040,449,244,228,751,886,618,085,531,751,054,626,553,937,077,157,596,625,
048,508,269,832,928,981,975,022,226,368,100,165,257,408,473,006,904,570,794,
228,376,787,450,307,145,268,198,162,075,277,718,339,950,713,118,794,830,060,
312,541,951,883,788,809,487,468,195,092,337,411,496,069,043,509,639,330,345,
635,682,600,721,643,871,723,246,003,995,513,925,884,046,339,061,586,051,604,
826,534,952,468,195,328,784,235,965,107,706,737,108,471,284,913,212,910,979,
736,794,312,557,455,373,734,215,537,021,726,646,326,478,124,982,447,028,982,
028,834,020,009,741,171,142,937,968,285,847,666,668,956,244,660,675,928,347,
138,655,442,039,756,826,301,481,576,389,497,123,623,473,973,377,748,064,536,
088,241,208,676,484,666,458,075,541,379,483,849,982,026,858,654,079,528,562,
811,050,195,175,731,164,889,725,343,497,274,689,687,931,861,907,473,477,946,
137,721,763,261,401,220,945,526,523,803,211,798,449,901,176,358,274,244,499,
399,405,212,537,643,828,707,567,029,587,401,692,010,889,927,888,798,538,422,
161,204,887,207,977,058,955,823,024,859,683,137,255,780,533,953,989,763,992,
692,458,062,187,566,463,157,605,718,351,705,386,727,682,140,433,553,443,659,
705,628,663,174,785,474,052,187,391,164,819,784,450,915,292,231,270,363,181,
372,774,181,760,034,935,208,906,144,265,888,257,336,336,581,402,865,673,226,
022,818,462,570,033,627,368,961,236,503,184,889,524,665,379,882,126,681,358,
340,497,592,389,260,359,347,397,900,486,505,885,971,341,309,870,020,617,964,
319,622,264,030,304,169,275,267,204,672,218,759,214,630,520,348,470,244,801,
027,715,855,059,284,614,925,421,549,860,962,234,325,860,657,286,631,881,475,
112,566,308,744,548,230,041,888,586,356,025,985,600,851,865,771,660,259,362,
259,689,080,643,474,145,626,873,960,382,020,762,998,732,256,691,765,120,956,
716,494,243,170,269,505,786,512,794,263,468,529,362,562,929,097,365,418,227,
404,464,650,552,410,782,963,869,225,377,201,006,371,944,734,884,644,654,295,
755,155,852,031,275,055,850,078,086,347,918,237,011,633,873,729,422,341,215,
251,730,983,608,728,780,440,553,347,347,869,582,771,844,153,812,696,423,641,
721,108,102,874,153,609,427,036,984,718,532,400,889,847,258,430,552,360,149,
632,726,101,105,349,157,805,153,518,937,771,901,271,718,832,042,534,108,051,
507,035,234,540,633,154,621,985,843,286,128,233,104,181,359,440,054,744,828,
521,234,091,520,490,636,762,711,028,588,132,525,907,775,958,366,536,465,566,
211,779,692,317,053,281,140,412,233,233,461,158,708,137,246,402,159,700,253,
459,702,255,705,692,218,310,877,179,309,283,884,140,550,221,779,076,482,509,
962,075,971,616,462,481,493,357,994,957,964,768,681,935,222,393,800,552,592,
797,420,585,569,388,370,043,780,924,086,678,353,194,818,588,467,115,837,818,
320,958,687,148,737,542,808,490,525,387,047,812,848,067,508,823,802,290,827,
433,168,205,726,996,603,439,360,550,172,106,988,742,725,973,500,924,666,465,
111,442,237,057,285,915,900,335,861,137,104,235,334,671,742,894,370,002,743,
964,031,157,118,676,261,325,387,560,075,512,222,678,300,159,946,030,612,391,
493,351,679,828,468,538,667,117,357,356,120,395,949,873,413,654,404,606,330,
588,603,291,472,583,004,973,257,959,636,729,726,139,706,253,355,153,654,054,
792,155,781,679,092,958,052,762,906,762,884,014,771,990,581,365,664,414,525,
127,937,191,279,575,759,208,598,247,223,590,104,596,438,627,616,363,234,663,
395,083,304,994,475,185,749,562,528,650,617,671,360,162,937,508,569,313,471,
890,824,839,055,791,129,620,029,928,955,143,528,632,552,586,626,454,416,872,
847,070,966,668,907,829,634,042,230,301,398,154,380,044,989,522,678,699,481,
078,699,834,034,669,557,507,418,543,903,362,359,218,114,873,360,658,197,393,
394,482,079,866,160,495,435,200,479,467,316,916,375,526,775,614,359,231,166,
954,661,982,109,820,316,238,745,364,520,942,155,964,877,543,995,306,454,920,
399,987,827,080,479,467,196,947,890,977,544,542,477,187,267,621,337,046,019,
640,162,890,498,266,326,775,182,272,372,969,966,779,035,311,192,814,252,863,
320,392,843,364,826,512,245,332,662,776,722,074,939,819,154,757,667,970,608,
907,916,794,358,605,318,249,021,732,799,484,510,510,755,521,100,371,647,086,
674,696,416,521,564,308,057,967,457,540,535,513,994,073,278,672,238,376,023,
176,622,709,116,650,356,791,393,093,268,564,624,988,723,906,242,972,102,239,
649,806,062,098,368,587,986,787,983,075,721,615,202,048,184,141,893,992,037,
711,629,224,268,877,145,857,061,040,832,241,105,946,283,077,097,913,622,150,
813,932,151,968,825,648,781,530,045,939,005,342,470,897,269,667,493,782,255,
953,886,062,857,249,858,504,880,844,905,806,268,303,469,859,511,964,324,820,
799,107,577,528,831,462,943,794,013,775,868,740,420,884,471,352,910,868,541,
053,923,381,889,790,749,991,691,274,500,886,852,418,300,467,995,714,482,377,
449,426,189,057,657,222,405,702,398,960,816,811,167,850,114,677,473,791,604,
022,460,589,233,670,816,424,291,946,138,299,350,301,578,434,639,203,592,495,
706,627,893,140,245,043,598,376,300,899,534,950,431,444,716,020,534,112,221,
405,909,257,022,494,315,224,757,310,092,389,151,737,094,318,490,909,782,028,
024,961,640,347,902,592,476,051,865,180,492,495,483,478,820,876,476,268,023,
032,676,486,993,578,264,352,851,853,447,853,454,945,629,652,370,735,978,421,
192,600,151,637,710,496,786,073,380,701,408,028,751,948,234,264,963,389,391,
590,136,296,641,937,905,566,627,612,740,866,871,148,043,762,242,845,047,329,
334,655,949,614,507,594,219,036,068,532,114,900,114,662,753,915,946,661,882,
692,383,802,369,235,720,417,926,296,458,323,413,822,869,044,144,819,003,490,
038,600,243,528,018,520,255,115,755,372,791,530,694,407,151,924,806,073,694,
038,644,771,615,648,934,977,430,875,205,066,280,158,076,855,116,198,874,246,
864,550,176,677,273,434,138,211,150,586,241,772,529,594,751,201,905,352,298,
288,071,343,605,738,316,280,159,902,856,855,086,323,303,853,542,669,447,478,
522,073,494,672,014,745,665,547,895,430,949,046,974,960,477,749,163,306,551,
898,929,845,955,931,740,500,176,894,002,466,080,757,480,884,057,441,881,117,
932,685,302,347,545,685,331,682,875,214,485,152,103,551,027,375,828,879,297,
308,269,434,657,924,015,960,880,153,301,593,310,224,821,167,827,086,982,314,
079,306,443,340,340,907,088,082,820,451,105,029,083,315,828,550,984,748,815,
930,456,675,669,691,712,715,892,311,748,499,529,744,124,396,593,333,942,744,
398,204,346,754,447,950,858,361,606,426,842,779,890,627,698,677,758,794,400,
408,501,128,568,293,188,718,153,081,432,568,547,477,222,937,366,135,350,949,
269,741,545,737,190,564,982,205,972,881,806,646,237,243,409,355,081,721,408,
288,739,267,752,828,969,950,930,604,466,963,906,270,330,271,428,683,757,110,
655,768,429,687,222,674,756,335,486,095,216,354,382,672,870,532,651,232,747,
403,274,251,723,771,094,919,610,469,425,565,458,633,052,318,327,823,207,531,
925,886,101,569,554,821,069,748,406,010,582,542,920,042,781,815,433,249,209,
354,377,516,678,795,746,376,735,098,034,743,767,666,534,129,632,231,639,745,
760,826,222,717,036,839,431,250,914,342,633,952,350,162,971,579,410,049,788,
604,255,204,241,194,568,766,837,669,813,484,275,952,251,407,737,789,972,549,
013,013,878,076,990,481,921,899,655,574,323,384,263,806,355,366,707,860,267,
674,491,440,289,478,360,958,822,263,822,779,113,730,110,158,682,604,857,412,
684,644,295,942,635,431,802,901,346,157,466,277,238,247,840,737,405,031,756,
433,834,667,689,949,535,532,193,295,902,340,522,924,893,937,481,098,718,111,
325,695,022,975,216,882,871,910,250,401,296,222,654,512,896,331,459,851,229,
600,839,424,734,795,464,016,974,897,605,679,582,915,015,409,076,247,989,807,
233,691,584,199,799,904,635,383,456,143,575,841,196,104,028,026,059,164,800,
374,163,131,760,627,743,688,047,784,595,881,937,775,440,825,832,939,112,723,
983,444,326,155,029,891,985,807,109,336,779,569,161,659,955,403,804,424,012,
605,522,462,354,047,620,155,223,396,750,904,100,772,713,869,658,484,125,823,
836,169,997,608,618,873,708,991,218,366,138,250,723,369,195,726,342,221,102,
273,644,504,714,016,845,445,599,942,823,377,115,612,846,693,549,686,790,761,
918,039,288,238,740,742,284,996,318,478,246,996,346,333,950,124,318,628,995,
080,763,760,564,597,854,375,392,105,790,972,488,514,945,487,293,854,140,169,
280,091,437,748,108,511,983,334,690,940,525,210,011,731,606,437,504,217,896,
823,198,330,166,842,620,256,057,214,795,289,826,128,554,515,103,799,501,714,
421,425,843,805,051,082,476,996,133,188,927,150,828,813,317,581,739,193,282,
792,802,522,933,486,916,733,609,070,861,859,573,916,028,717,588,606,596,611,
139,406,591,868,707,467,780,695,121,443,421,609,003,984,848,198,720,930,498,
367,262,020,104,168,801,143,096,689,996,961,533,302,075,505,290,940,025,932,
824,718,978,020,902,762,465,164,492,640,722,513,742,196,332,984,707,837,365,
186,476,125,101,267,153,435,415,036,183,907,630,994,143,569,370,365,875,945,
294,160,818,519,144,483,656,821,828,167,490,112,861,993,371,953,381,798,985,
001,912,315,654,800,610,027,646,593,752,922,891,450,545,101,212,218,167,300,
081,682,327,672,940,494,026,067,904,577,131,240,201,949,655,597,282,125,628,
500,879,963,277,246,903,326,780,583,788,207,256,219,546,482,580,708,339,887,
817,929,687,567,246,028,192,344,219,885,443,634,647,393,453,708,657,318,775,
000,562,610,583,653,499,982,867,418,325,091,967,278,450,944,713,472,142,658,
993,065,833,819,997,920,963,393,846,845,195,618,730,132,483,942,893,606,244,
299,004,980,195,105,014,717,926,604,621,638,409,230,842,271,503,084,780,127,
023,323,994,013,891,198,193,804,856,702,292,624,212,880,826,808,059,773,675,
978,693,890,915,318,348,511,979,953,456,026,521,050,670,220,421,622,146,248,
619,462,536,479,058,502,334,022,157,562,855,265,133,460,042,717,391,500,008,
404,675,472,503,519,114,883,076,306,884,892,904,344,476,748,380,484,870,935,
974,748,649,207,437,732,888,921,417,603,819,731,164,732,679,449,304,838,467,
564,777,008,330,706,985,032,011,162,854,388,591,623,783,789,342,306,087,976,
075,242,948,002,692,568,143,749,944,683,824,879,392,280,229,699,362,349,651,
877,228,339,767,065,469,904,440,544,891,819,719,062,233,124,532,231,876,238,
817,544,131,348,556,295,822,489,291,994,621,199,916,630,698,759,264,273,160,
498,464,343,399,959,202,987,068,233,659,978,881,509,808,571,108,853,946,131,
072,927,998,954,437,723,485,481,506,508,917,151,411,430,193,312,928,502,472,
405,408,233,963,500,671,199,764,121,584,477,250,182,053,739,062,379,992,969,
130,242,886,187,670,650,075,207,870,874,748,463,538,030,993,672,979,010,912,
659,973,792,969,292,469,592,191,478,750,104,929,679,309,283,497,059,770,290,
535,824,018,510,524,212,042,189,908,793,795,852,936,048,651,492,820,143,785,
290,884,073,242,688,734,787,975,560,407,041,873,304,892,167,520,900,225,996,
275,168,112,814,421,881,744,546,439,921,319,568,828,116,987,088,841,391,381,
073,832,400,082,201,452,051,727,754,239,424,878,916,481,639,284,611,643,349,
299,055,794,505,188,734,469,664,790,112,551,060,080,932,752,805,765,358,817,
254,930,511,720,333,987,147,934,650,744,147,836,672,322,331,995,759,186,251,
981,887,531,198,361,246,407,820,475,384,466,242,835,241,241,057,185,791,902,
282,600,814,977,688,745,374,224,978,474,382,357,106,363,961,875,448,731,368,
689,052,066,540,237,037,478,967,781,502,553,228,637,722,306,070,932,514,681,
893,872,955,709,256,130,510,973,048,279,872,584,283,263,485,332,469,411,441,
088,629,053,500,448,009,323,533,627,687,458,832,830,322,825,014,158,217,072,
745,517,187,360,156,768,389,433,680,360,646,308,520,433,142,183,042,107,701,
253,499,977,516,500,881,108,375,088,158,056,572,819,190,581,029,629,973,144,
329,020,152,052,218,039,841,945,578,433,187,551,566,768,631,339,729,558,088,
342,588,138,901,962,169,430,488,989,267,850,858,095,798,487,924,877,538,687,
110,007,818,069,654,029,781,918,611,350,451,224,018,896,413,819,108,639,627,
722,208,186,194,925,726,883,133,352,548,347,015,040,507,935,180,165,189,252,
325,885,551,622,955,728,243,734,007,413,624,939,725,946,307,399,392,499,593,
877,333,090,861,638,097,479,661,782,551,341,553,499,537,563,831,574,108,587,
826,897,120,171,307,483,188,868,604,880,894,811,149,565,478,633,061,500,987,
424,772,248,529,496,292,632,798,465,078,788,028,041,320,112,062,359,102,582,
454,985,948,301,518,735,428,317,840,877,373,080,852,339,240,644,101,717,060,
803,130,482,272,637,562,416,940,152,736,988,091,941,969,997,276,762,824,826,
605,592,506,195,290,883,674,262,245,137,112,136,816,725,634,745,328,081,564,
834,111,491,793,434,843,498,401,357,501,751,930,549,320,545,901,287,121,830,
336,061,022,498,809,421,730,822,270,139,006,443,061,841,967,440,113,858,600,
586,712,708,774,060,077,418,178,998,479,069,646,305,757,163,505,971,735,080,
551,731,289,486,523,203,710,032,700,478,899,737,347,846,394,140,918,475,812,
921,467,250,555,392,672,684,952,929,335,831,873,031,405,446,585,071,580,768,
806,730,619,793,552,724,449,477,702,934,095,088,084,491,816,163,765,429,519,
641,684,610,682,375,601,082,985,460,506,405,871,857,065,526,823,302,878,326,
215,578,849,432,621,244,608,629,250,373,399,881,421,787,116,338,818,320,753,
108,210,646,123,825,862,470,866,424,702,213,940,072,342,755,835,909,552,527,
532,182,140,269,431,164,565,622,331,876,822,335,926,133,990,047,030,495,003,
547,327,738,805,927,803,741,647,287,512,994,769,600,429,662,523,368,001,014,
329,941,396,375,249,842,775,693,012,496,597,866,510,921,175,503,847,231,131,
699,315,795,484,088,514,602,062,368,843,056,899,447,777,462,025,350,309,941,
533,091,919,319,393,582,080,986,421,523,935,129,407,096,827,225,973,114,489,
628,126,658,512,050,806,984,121,291,588,325,588,734,351,660,702,575,007,362,
193,040,421,828,238,071,900,982,675,812,470,599,685,861,530,547,096,722,068,
551,795,063,085,443,067,858,174,880,579,835,644,984,568,375,901,496,132,959,
691,349,877,168,569,403,720,568,712,671,332,266,341,107,710,150,755,421,340,
518,697,475,885,976,001,764,672,192,958,844,085,937,631,712,788,511,324,332,
039,342,110,168,217,058,121,466,476,693,391,150,414,465,970,054,148,847,672,
866,966,391,523,657,472,710,868,561,461,435,707,022,600,427,392,963,025,235,
416,924,901,251,269,637,204,090,932,809,795,702,485,315,294,392,241,948,842,
605,051,653,055,151,402,330,570,730,313,906,018,224,891,489,792,163,565,204,
514,015,904,878,834,796,959,830,250,947,126,827,831,568,961,677,073,603,420,
515,713,347,493,533,578,263,645,045,806,756,958,145,158,478,913,463,757,030,
526,111,651,476,393,914,991,846,412,705,803,744,805,774,412,820,942,688,877,
274,594,104,443,797,814,793,236,992,800,392,593,011,501,201,345,838,403,802,
006,102,037,426,937,166,836,338,569,200,014,160,705,819,496,443,914,638,698,
980,939,562,718,707,283,201,497,139,204,102,643,898,705,709,700,260,590,563,
159,344,747,701,449,970,198,715,973,461,747,492,097,251,716,279,518,015,466,
586,632,309,079,596,833,218,660,306,330,595,518,416,047,964,536,116,944,042,
308,505,650,364,933,733,541,592,521,703,622,511,777,602,378,885,953,998,189,
857,260,425,217,862,381,751,175,548,659,177,226,673,619,533,883,602,883,523,
642,499,076,135,381,726,558,110,078,443,980,025,135,922,758,000,467,882,276,
720,868,370,189,268,119,858,449,877,215,993,675,959,366,143,279,875,176,463,
822,563,044,966,009,335,313,206,214,291,910,884,832,363,870,306,119,571,464,
196,411,917,929,338,784,702,958,000,402,130,899,462,984,435,937,977,718,892,
924,127,476,516,298,386,095,459,255,053,076,414,838,275,777,146,841,165,731,
402,409,636,045,865,354,266,242,580,041,193,440,425,717,838,615,670,540,581,
849,545,304,667,350,518,260,139,914,171,075,747,090,233,117,620,032,055,545,
133,444,922,807,607,039,741,965,453,430,669,765,794,416,402,042,212,140,315,
616,977,758,706,441,678,988,643,898,791,626,127,020,624,377,820,125,723,825,
105,645,036,005,203,456,663,551,376,549,728,458,972,657,072,475,529,079,149,
862,725,390,405,875,508,493,583,336,020,721,768,963,954,635,514,985,710,079,
765,639,994,187,778,844,596,961,031,489,833,592,309,306,604,824,032,035,890,
951,176,609,890,350,774,754,072,093,415,751,194,493,013,418,068,697,964,678,
936,312,089,309,691,586,861,040,396,788,554,466,150,125,450,210,721,479,729,
681,064,983,532,721,367,569,831,275,687,958,550,985,834,766,659,623,305,720,
634,577,279,257,984,683,396,646,782,995,084,894,650,194,843,874,514,460,568,
812,558,705,923,912,038,831,497,691,172,281,774,473,308,258,872,899,127,750,
931,332,237,785,989,934,619,118,423,860,229,078,854,811,622,553,491,866,601,
669,587,051,093,762,899,292,347,962,556,543,685,290,017,100,843,859,442,085,
432,210,527,833,173,665,418,261,555,563,708,116,691,783,318,302,132,314,780,
634,055,928,433,578,239,550,310,120,357,335,808,956,264,564,034,273,091,103,
291,198,008,340,808,483,430,552,797,084,602,734,496,064,961,761,445,491,087,
550,532,572,458,258,056,186,940,813,177,153,563,945,693,126,705,467,289,214,
814,170,788,336,574,306,409,392,959,763,642,610,019,703,128,341,970,484,756,
217,111,441,007,059,950,037,158,131,908,282,225,413,133,889,271,611,080,176,
714,562,583,332,444,524,502,611,468,171,287,279,986,262,519,577,367,804,592,
623,207,851,341,515,386,532,370,092,710,890,984,506,877,494,360,148,610,318,
944,971,215,012,102,737,104,167,701,810,342,055,596,610,416,600,022,199,048,
470,565,974,673,309,102,013,753,689,134,496,460,690,299,891,527,600,431,090,
951,287,458,819,931,253,501,853,406,229,559,255,490,962,207,294,218,869,419,
823,521,466,503,675,683,603,779,653,886,484,243,504,536,650,240,168,951,358,
706,837,976,631,299,401,311,717,032,691,193,200,271,720,524,409,545,618,935,
410,581,941,463,868,534,754,573,296,783,227,983,995,343,134,386,481,465,720,
483,090,784,549,309,675,476,307,116,348,479,696,204,459,772,112,498,025,699,
250,982,878,066,286,814,640,843,213,409,342,771,168,408,468,881,539,137,811,
319,985,389,244,899,375,313,002,595,055,290,228,984,800,131,604,873,520,265,
108,587,285,456,830,940,707,812,939,257,883,943,983,492,660,853,129,417,597,
147,505,474,565,413,303,738,221,504,827,123,784,143,682,180,352,991,059,921,
210,418,859,279,260,843,359,464,184,189,219,780,089,199,655,306,350,750,355,
556,356,697,855,218,083,999,610,207,955,709,503,920,354,744,247,311,233,123,
573,044,751,520,009,881,077,913,179,461,141,251,136,911,166,919,316,488,406,
932,124,690,431,472,443,928,562,248,761,597,419,854,273,595,705,839,253,338,
713,983,898,893,165,615,196,332,698,120,048,576,830,075,122,236,320,214,542,
668,274,801,921,118,519,409,856,981,636,094,157,225,594,623,974,285,589,226,
656,228,761,792,136,243,428,918,339,427,394,200,531,774,948,037,211,106,885,
525,840,554,952,002,856,391,698,156,742,711,503,248,698,265,149,876,089,612,
889,980,825,577,356,446,511,931,005,305,127,716,989,801,568,337,859,141,343,
620,697,683,534,133,131,096,914,517,534,320,618,240,611,347,685,153,783,296,
455,736,439,587,436,147,399,497,345,059,089,978,258,780,650,736,271,214,081,
109,288,057,561,759,293,062,951,171,151,372,093,586,396,472,458,508,841,830,
672,888,098,625,069,630,231,830,794,239,497,879,566,734,150,380,879,926,650,
987,108,206,735,231,485,521,566,171,875,893,236,317,422,910,608,768,012,060,
823,710,371,013,485,138,981,078,539,798,777,877,743,415,722,207,854,561,537,
650,512,807,288,513,521,104,788,036,743,900,224,886,741,986,872,463,374,010,
360,251,676,614,780,521,862,725,295,581,754,845,496,020,581,717,935,126,703,
348,969,336,545,163,768,448,136,771,869,860,742,962,799,064,760,955,541,459,
701,262,939,408,242,896,490,893,170,520,631,925,834,822,285,908,332,591,693,
111,398,444,432,690,938,643,993,520,233,659,731,877,461,515,661,201,915,838,
129,529,334,870,275,222,364,315,238,366,420,412,128,257,456,863,088,173,996,
414,686,310,461,683,180,600,959,777,885,758,561,811,922,893,624,010,311,768,
570,874,981,466,176,213,536,282,033,084,757,206,873,924,687,096,503,093,232,
148,930,422,931,824,472,569,694,879,306,960,882,059,457,772,214,558,714,678,
525,824,415,270,012,080,227,450,831,905,976,154,024,965,363,632,656,412,586,
214,669,199,569,924,992,584,263,264,380,762,293,585,592,350,819,457,287,038,
474,758,097,781,416,149,949,333,977,157,790,214,810,542,653,451,043,113,089,
455,246,349,628,683,493,792,716,281,292,201,107,482,567,626,859,167,291,280,
768,476,438,754,712,313,772,795,495,387,556,520,110,687,303,746,267,087,193,
803,731,755,008,014,691,062,012,117,168,969,942,521,334,592,111,920,260,889,
369,539,178,515,021,013,572,507,137,191,944,023,713,760,429,763,263,542,470,
552,642,257,416,644,179,888,489,222,423,483,358,285,986,997,445,594,482,832,
271,345,777,058,305,688,339,214,908,057,712,723,544,376,719,797,114,533,148,
488,611,348,140,734,484,597,151,793,579,166,215,740,559,389,781,965,572,142,
408,322,486,884,342,403,904,512,057,007,122,010,059,138,692,670,991,430,340,
646,342,664,484,724,815,329,368,033,951,571,422,974,403,006,072,813,562,539,
243,183,797,938,228,939,079,227,316,857,338,713,844,685,031,692,266,293,079,
463,102,246,147,527,462,436,355,107,076,722,381,899,542,601,667,153,338,273,
983,179,628,236,762,129,608,643,591,782,833,674,971,878,467,170,390,001,725,
156,478,554,859,261,885,079,340,897,357,933,054,609,176,943,208,616,014,671,
810,401,245,905,414,455,775,858,164,656,173,987,801,688,287,257,626,012,258,
969,711,647,794,659,368,397,116,919,008,606,155,788,714,924,017,512,084,922,
172,649,951,996,792,869,958,630,587,704,496,776,737,031,138,074,937,770,515,
743,884,035,463,685,945,186,507,014,120,131,987,176,107,678,090,454,960,598,
103,976,093,263,948,025,519,134,278,997,542,331,742,924,987,127,821,194,006,
328,339,199,221,422,479,567,197,951,786,428,776,542,960,165,086,560,543,701,
654,033,164,178,031,076,653,295,702,670,452,054,069,555,507,343,784,991,034,
740,317,134,935,031,658,119,813,605,115,065,651,570,124,165,367,557,850,801,
750,371,880,328,587,812,547,475,754,518,922,582,656,729,875,045,749,202,906,
310,601,395,560,776,267,498,305,581,641,300,490,106,096,953,696,750,698,874,
960,062,787,732,807,658,578,986,459,813,787,302,738,439,166,408,660,769,762,
309,233,016,117,910,797,946,097,009,679,931,101,987,685,269,824,250,418,450,
838,935,779,096,157,977,790,207,179,203,507,330,999,418,920,290,546,232,248,
620,495,739,098,264,378,962,486,651,165,109,444,497,911,571,380,436,484,055,
648,506,007,351,896,140,425,692,500,808,909,676,853,097,125,270,370,382,595,
351,160,788,526,943,080,907,990,177,777,357,998,353,448,838,358,754,183,652,
759,738,565,656,044,288,537,869,223,474,150,106,311,057,307,503,866,468,281,
252,350,449,467,984,861,609,419,912,264,275,141,217,621,312,504,117,584,068,
346,529,933,348,857,150,257,522,670,738,383,004,641,569,442,715,690,555,172,
670,002,661,819,665,990,387,522,576,365,605,010,392,443,770,062,491,447,033,
284,475,703,146,968,745,143,640,092,281,233,476,562,946,359,216,484,157,420,
277,383,542,438,292,012,339,755,938,320,980,036,545,635,420,441,107,799,795,
735,380,365,578,453,800,205,883,748,294,381,011,947,211,410,910,282,164,067,
333,877,165,035,337,152,316,004,644,569,542,917,575,741,423,061,875,713,611,
978,735,640,631,410,569,019,447,500,254,216,557,532,716,231,538,506,904,788,
807,117,128,677,920,626,553,160,530,689,501,408,052,230,145,079,390,135,009,
192,957,781,662,065,594,785,287,561,923,730,697,699,308,802,288,226,931,862,
246,958,694,036,275,411,826,013,091,616,074,107,060,249,745,124,838,617,036,
386,990,109,251,938,832,964,873,152,892,252,183,920,786,542,669,895,372,440,
774,125,744,316,173,973,063,603,218,821,565,451,107,556,252,234,434,021,133,
545,062,317,060,459,068,647,412,654,154,298,665,101,521,263,797,191,958,417,
426,217,240,607,019,093,982,808,519,384,347,209,129,783,007,582,260,723,683,
007,839,148,545,337,205,205,010,550,751,461,831,655,270,616,164,984,535,066,
317,083,179,403,331,650,023,196,494,521,700,033,418,125,240,995,768,040,713,
067,926,616,422,094,840,030,210,498,395,619,009,929,795,527,632,341,966,475,
261,585,852,867,865,000,586,303,244,312,185,486,244,666,628,018,187,843,461,
779,948,137,073,717,822,324,749,895,069,975,840,400,618,622,030,311,173,753,
183,457,151,269,486,042,862,036,096,017,650,985,194,635,168,111,320,561,447,
541,196,506,701,243,248,645,929,232,803,077,526,347,450,447,799,698,900,815,
639,513,459,001,116,284,236,888,630,046,592,296,026,442,657,443,902,350,170,
189,752,679,092,574,350,954,342,967,247,164,908,123,056,555,673,870,769,301,
435,125,783,130,841,882,115,501,695,472,247,771,383,904,142,883,524,248,633,
113,605,639,576,179,733,886,074,991,773,268,963,620,804,076,499,954,397,398,
382,032,976,509,714,430,561,358,567,281,020,625,316,905,405,124,571,266,760,
947,636,365,547,920,768,956,554,926,467,595,512,411,304,261,461,112,527,479,
497,746,975,115,067,468,005,792,954,787,455,775,234,646,898,142,864,560,126,
614,934,343,954,952,137,337,343,797,720,982,850,721,295,953,013,990,583,737,
381,060,737,403,576,224,843,356,380,425,722,660,030,687,016,002,897,802,688,
378,850,182,575,566,672,827,141,851,872,626,829,828,496,742,152,117,905,935,
777,642,399,137,987,317,505,266,061,779,458,022,497,653,909,060,107,555,646,
988,611,678,235,205,986,765,545,160,602,517,659,599,099,133,425,043,725,209,
972,982,326,131,650,961,280,896,489,871,336,766,882,489,789,999,312,297,168,
942,463,398,398,843,692,653,348,912,087,931,659,674,376,403,714,694,293,964,
643,334,535,330,010,533,546,628,784,215,089,200,305,342,098,262,473,922,804,
586,746,668,594,893,960,842,137,003,134,852,639,980,144,810,061,843,019,665,
533,611,865,892,335,528,283,407,106,431,327,750,388,420,634,556,706,521,217,
652,173,554,433,852,935,888,835,969,892,504,553,354,281,553,387,192,877,501,
809,058,308,717,620,353,803,773,419,039,970,061,565,291,411,379,349,263,213,
400,986,358,306,664,625,509,134,389,236,045,593,416,590,254,337,092,585,596,
500,070,171,860,482,060,358,795,509,141,569,104,570,456,476,515,552,687,992,
874,123,535,847,133,767,106,971,273,471,365,584,470,626,900,991,107,221,146,
379,542,880,967,061,879,638,050,102,166,238,842,919,207,423,509,818,489,443,
105,594,386,790,501,566,264,298,057,067,725,603,227,187,653,041,393,529,493,
762,803,500,302,732,905,572,232,297,170,503,998,613,982,013,327,634,047,494,
775,482,237,038,809,087,656,655,387,819,975,800,874,480,113,320,771,998,703,
996,734,242,478,485,649,307,499,118,763,897,225,299,546,182,607,224,326,234,
880,747,838,940,244,992,577,635,947,690,637,085,861,322,948,549,567,620,907,
790,839,648,663,171,080,951,786,614,613,021,670,773,142,602,382,413,145,475,
320,923,874,469,571,864,207,413,354,135,094,367,335,054,774,905,233,676,011,
642,833,576,955,585,652,442,566,062,570,063,698,876,653,882,468,954,635,884,
998,974,972,813,757,450,947,274,848,844,773,882,288,885,343,612,009,948,636,
814,968,730,099,623,875,780,765,096,482,061,247,935,031,182,036,323,733,028,
486,648,255,742,245,527,222,107,992,432,892,858,909,701,757,218,658,725,906,
500,672,311,706,640,771,330,445,833,072,580,642,486,907,074,592,336,958,918,
948,568,068,913,554,364,661,516,465,028,354,712,613,562,770,430,805,474,906,
288,223,401,466,018,908,338,561,031,195,630,609,157,357,195,928,578,863,889,
790,662,962,457,520,070,327,393,499,583,817,352,229,735,213,128,422,473,798,
943,528,998,189,160,982,615,891,879,578,513,880,218,212,376,281,417,248,431,
623,055,973,580,355,144,167,456,524,284,866,634,502,215,852,826,302,149,738,
537,802,438,695,040,397,895,911,817,949,273,116,592,036,501,702,231,353,375,
533,458,478,290,275,201,543,355,432,273,550,963,709,074,626,300,988,156,719,
412,997,802,999,623,985,607,428,252,460,732,566,788,612,232,179,270,834,747,
869,980,515,721,530,263,717,787,230,552,484,013,294,504,519,080,128,046,267,
724,525,380,117,897,062,476,232,537,428,712,096,162,919,134,436,619,214,131,
144,567,377,343,576,831,010,306,342,940,052,256,101,535,121,410,097,164,705,
817,248,038,815,437,514,222,297,646,640,499,219,007,297,493,785,846,671,434,
753,080,716,924,175,434,156,924,523,563,801,221,256,474,146,612,457,702,183,
699,831,163,728,019,520,557,793,359,655,456,180,000,969,828,073,623,567,459,
969,974,589,963,467,223,025,395,718,081,838,416,939,463,875,670,539,696,879,
415,866,714,405,253,578,929,418,342,057,636,855,864,890,995,415,658,542,008,
752,693,896,744,024,032,980,238,340,081,871,087,141,373,283,934,650,298,427,
328,821,660,112,173,253,016,299,180,243,556,882,798,111,441,032,183,623,054,
261,698,597,671,125,080,206,649,354,044,702,417,193,101,706,580,644,436,632,
380,349,999,227,980,416,078,649,985,246,512,994,927,441,076,256,923,655,887,
393,991,928,581,497,623,387,690,675,915,578,014,316,990,342,952,175,528,640,
181,420,550,699,037,385,740,898,700,581,735,242,206,859,774,635,945,586,348,
331,114,158,504,578,602,495,323,960,609,091,404,701,790,520,592,746,699,948,
999,103,153,571,636,203,926,817,128,733,859,982,448,495,847,777,648,327,793,
512,962,571,388,849,245,194,082,724,916,186,423,363,918,909,397,659,624,398,
873,269,001,536,346,580,737,001,782,252,107,258,610,132,001,941,739,827,452,
040,930,814,344,456,353,112,613,432,725,948,550,029,289,544,723,751,878,428,
270,103,528,456,610,962,041,203,522,613,098,152,521,365,135,926,653,500,968,
156,544,357,457,595,292,727,805,910,488,988,044,419,201,676,409,270,792,898,
405,212,655,557,866,723,373,250,724,348,507,616,070,014,482,474,905,818,939,
261,604,231,810,310,433,827,514,689,787,110,190,593,245,817,956,601,792,749,
481,878,854,595,119,206,019,935,127,302,864,927,493,899,743,008,342,288,602,
023,015,005,162,962,484,444,874,109,457,629,924,561,544,024,929,298,109,215,
971,447,725,924,828,499,649,490,690,077,053,757,992,189,336,068,684,063,125,
012,146,447,295,861,536,251,966,505,425,686,443,804,960,492,722,761,487,700,
525,049,917,004,514,389,291,502,615,269,314,802,373,974,216,767,956,406,577,
618,681,295,592,283,293,580,722,358,588,903,166,391,207,959,478,367,308,047,
173,086,708,087,604,774,413,230,088,186,240,624,607,480,722,517,469,006,096,
366,155,146,570,985,471,121,257,366,647,271,155,757,172,858,509,604,583,098,
413,024,185,293,494,301,337,599,956,685,112,333,485,420,132,596,934,035,537,
087,617,398,797,829,981,235,423,945,279,576,497,044,148,875,773,399,097,699,
798,072,062,766,165,849,134,292,134,868,487,587,714,677,631,185,475,533,211,
380,045,369,004,269,858,354,943,176,797,596,366,919,203,042,807,157,155,362,
075,127,923,454,289,114,043,963,688,142,063,536,463,015,299,724,990,441,362,
686,160,898,331,798,897,016,341,324,519,668,523,056,375,629,442,785,172,236,
589,882,194,690,456,676,371,593,965,045,172,768,778,882,357,004,610,304,516,
052,132,105,368,203,137,846,930,267,255,094,831,223,702,202,622,152,027,892,
326,786,038,260,582,258,908,061,032,756,135,272,335,382,428,963,695,028,253,
331,948,971,340,559,094,375,581,189,058,560,209,663,978,760,385,583,473,553,
012,020,476,864,570,569,578,401,443,213,224,470,721,197,551,880,230,422,338,
276,579,624,334,143,539,957,487,223,979,419,637,311,620,569,063,766,435,407,
796,908,403,257,166,203,977,138,040,917,064,495,078,428,694,688,498,322,973,
351,764,270,234,746,715,063,538,063,958,123,952,099,546,272,079,208,687,930,
355,947,741,117,066,929,746,272,690,020,654,549,134,302,019,660,834,468,366,
651,921,670,898,355,542,800,278,721,683,546,834,700,617,953,306,560,265,173,
734,965,233,142,610,262,752,084,545,858,903,445,264,059,158,642,794,889,199,
725,882,857,069,743,970,705,675,225,067,184,368,106,367,648,203,687,871,608,
411,788,828,310,578,443,300,880,313,489,246,226,066,360,660,615,699,005,035,
312,394,198,338,027,380,197,085,039,284,650,037,598,384,585,046,397,695,042,
290,018,601,905,480,434,108,507,304,945,092,910,736,384,890,466,432,751,550,
427,464,278,085,843,156,298,388,002,848,258,766,785,145,306,995,722,789,894,
693,430,020,540,987,697,365,606,436,058,858,917,221,042,370,243,904,449,169,
812,312,199,108,547,663,534,542,923,791,217,728,098,544,788,905,782,902,172,
295,519,932,470,280,800,570,346,195,863,169,549,166,568,413,635,976,535,050,
282,889,132,658,293,505,642,387,279,258,711,606,265,199,653,823,931,641,944,
366,379,902,213,160,625,663,504,988,420,360,723,656,521,196,986,002,148,537,
062,713,865,219,392,470,551,793,622,766,225,057,479,141,282,620,862,549,832,
905,644,767,822,941,154,281,372,793,755,775,575,004,924,045,715,518,506,990,
663,333,788,206,421,179,817,991,813,332,170,118,873,709,938,292,650,272,847,
752,522,216,898,828,837,238,734,825,349,925,891,063,846,534,793,878,096,812,
078,283,811,498,823,586,371,177,124,399,047,442,603,342,222,103,839,905,119,
532,369,029,629,113,693,752,637,897,260,245,996,422,639,879,927,933,559,155,
456,581,418,672,593,216,586,645,229,213,508,248,805,627,953,327,856,005,810,
797,240,069,214,068,429,099,186,202,564,960,322,391,115,042,659,529,834,518,
555,713,000,858,693,836,778,637,546,655,738,104,043,112,975,158,869,525,747,
602,661,635,843,090,481,278,878,709,097,527,748,166,661,498,333,929,186,180,
123,671,478,592,131,180,974,155,771,457,802,206,682,039,048,084,630,052,124,
525,686,632,660,467,124,986,598,876,027,894,101,835,865,257,099,364,611,932,
390,938,073,388,822,267,464,627,921,710,134,389,894,305,882,964,130,046,183,
794,032,348,567,353,220,358,121,970,787,906,691,700,625,570,591,907,288,571,
278,717,289,015,082,770,178,142,351,878,700,661,360,286,232,443,358,945,847,
918,233,347,277,985,293,090,444,743,873,724,213,584,367,444,551,178,295,459,
090,870,217,641,643,997,766,051,452,312,686,803,858,209,141,700,318,711,472,
196,431,740,304,328,564,481,291,347,565,328,803,880,697,242,473,227,122,163,
872,223,719,721,225,098,996,726,782,593,861,245,062,194,218,870,471,892,894,
332,196,805,400,558,528,201,695,828,615,245,624,851,990,775,801,540,601,503,
630,733,467,414,680,838,032,287,367,014,315,237,352,743,986,688,307,305,249,
206,617,866,640,982,363,181,285,980,960,758,006,519,655,444,601,449,508,442,
299,944,695,654,670,179,767,732,813,618,651,558,741,875,843,025,098,821,648,
646,497,720,857,607,663,973,411,267,677,787,618,289,523,513,013,363,915,488,
052,170,905,307,248,514,388,895,112,565,802,988,370,131,265,820,739,535,779,
144,755,479,323,161,245,084,491,033,971,907,474,534,236,246,584,039,566,009,
246,236,578,746,513,353,050,168,734,857,599,535,547,393,234,661,380,078,129,
550,548,407,887,122,531,953,049,191,969,670,692,224,522,877,082,653,466,722,
192,796,701,765,878,386,864,141,513,151,272,180,059,953,736,285,051,068,631,
163,534,138,802,789,783,176,474,029,751,420,712,978,109,635,589,751,576,327,
781,922,994,289,449,648,407,512,223,724,671,466,700,725,444,166,666,920,496,
962,080,594,183,886,727,359,937,776,977,830,632,336,413,570,745,888,665,810,
250,494,843,352,920,305,194,519,088,932,155,325,175,815,878,663,446,692,482,
344,512,990,067,227,587,355,440,788,528,253,623,862,977,074,055,957,773,193,
688,304,346,608,369,575,553,623,461,481,993,484,466,380,069,807,622,817,727,
810,568,161,048,112,988,993,092,817,789,988,178,558,775,756,027,958,975,295,
709,937,510,358,878,699,683,325,733,661,700,064,697,413,828,183,143,957,343,
884,132,571,718,819,199,327,027,693,932,140,798,563,996,629,597,284,167,108,
736,904,377,665,110,830,913,432,344,928,423,733,701,764,441,843,971,691,383,
576,498,800,486,875,673,544,379,469,033,108,428,802,805,674,261,775,234,058,
730,211,878,987,737,525,200,323,627,580,207,213,645,525,949,153,392,843,412,
226,257,583,608,368,653,769,866,349,150,559,067,830,662,301,107,678,740,743,
026,110,864,311,054,368,086,179,005,587,465,743,227,033,450,704,847,716,932,
135,382,547,606,290,823,876,220,681,950,244,882,069,252,865,493,558,611,603,
651,623,209,374,760,517,523,302,911,857,407,460,834,885,067,875,679,277,486,
644,123,545,381,265,583,917,463,672,017,037,682,272,159,193,233,935,656,945,
592,602,709,861,115,496,752,637,885,748,676,428,328,210,097,599,277,923,556,
803,109,175,073,176,906,124,844,923,293,262,291,720,749,431,677,777,308,690,
253,250,764,412,884,705,888,800,136,583,900,966,083,520,679,490,961,704,330,
795,317,504,919,434,838,121,856,791,238,346,628,880,391,903,122,047,231,978,
142,925,258,564,562,684,265,300,134,931,872,285,087,851,677,157,496,656,265,
289,489,284,491,298,681,513,998,205,039,527,324,546,063,772,794,588,275,517,
368,999,555,129,191,976,413,939,189,919,426,791,759,958,493,706,997,469,781,
115,726,673,582,237,720,122,797,130,651,506,669,970,155,387,660,838,331,276,
920,018,626,770,616,700,122,374,517,431,641,194,953,716,028,342,008,547,699,
391,246,066,421,971,017,642,886,371,934,265,484,868,045,030,815,689,101,861,
832,907,359,665,725,365,507,186,035,153,360,009,048,587,982,886,583,719,382,
040,363,118,058,951,740,498,489,476,026,572,885,835,062,915,281,310,309,578,
070,414,842,063,826,609,899,782,519,359,312,021,037,047,231,474,037,953,673,
611,468,543,540,743,697,244,707,004,269,216,378,967,912,816,363,847,597,078,
541,516,514,579,141,451,198,185,783,132,146,682,028,937,459,535,793,873,581,
978,439,035,005,036,635,505,099,182,615,913,384,891,295,800,847,163,028,800,
286,537,724,983,638,909,723,450,879,339,110,850,004,961,398,611,328,872,802,
774,563,084,807,282,382,551,963,265,338,677,818,011,577,495,667,963,924,206,
918,961,066,588,191,060,450,664,221,646,278,274,455,235,218,994,970,144,615,
622,334,535,720,891,932,337,035,998,850,250,024,582,306,526,681,552,817,238,
575,584,952,184,022,595,000,210,352,482,868,516,482,071,487,994,051,923,142,
747,882,290,479,647,708,396,644,684,781,103,152,245,273,789,505,779,783,207,
368,010,873,001,953,184,934,551,843,493,543,115,647,200,928,168,341,702,352,
592,971,315,487,120,114,818,736,956,021,303,535,366,713,202,206,160,318,051,
635,777,654,115,124,813,250,363,729,739,504,185,709,978,722,870,231,115,144,
742,817,935,363,176,270,518,070,384,749,862,457,014,751,731,948,652,448,454,
889,187,476,794,957,163,469,743,378,972,593,734,640,217,236,768,163,708,279,
956,043,178,582,714,369,951,546,177,007,034,444,454,747,526,490,178,665,144,
173,622,659,510,927,404,042,195,154,569,651,273,878,411,742,325,836,492,147,
422,519,459,825,019,689,116,829,916,126,980,582,371,944,372,728,744,361,755,
595,754,040,164,007,898,709,097,617,598,596,551,565,687,166,431,098,332,494,
861,967,605,108,305,877,711,909,081,781,031,409,516,561,722,476,353,582,971,
710,894,696,363,766,042,165,446,965,860,871,613,150,535,374,197,170,813,016,
664,453,590,790,877,411,699,764,589,095,234,832,384,749,672,381,610,488,364,
978,242,620,986,447,116,178,457,167,294,315,349,531,351,158,203,433,073,950,
039,104,474,099,066,192,038,845,855,484,646,437,863,595,282,522,381,639,563,
771,729,363,367,164,813,405,031,121,615,722,708,276,859,164,613,831,734,755,
217,766,921,045,989,847,227,703,507,322,467,417,723,525,247,311,817,975,564,
918,060,233,329,836,949,566,542,134,857,197,202,446,383,656,452,218,254,094,
637,538,229,279,605,206,146,246,805,787,122,440,258,861,309,168,048,825,664,
310,114,772,413,420,640,980,568,390,057,743,656,159,295,640,488,179,189,829,
059,966,715,857,897,484,715,244,113,525,872,608,563,394,822,729,486,966,508,
062,124,098,753,003,584,519,867,437,110,771,723,603,170,069,901,060,757,860,
153,277,122,233,253,063,936,565,410,060,107,367,035,674,237,660,648,420,980,
975,460,911,958,978,792,054,314,930,568,332,409,203,389,428,885,893,542,322,
754,988,693,751,167,290,933,696,496,865,291,580,344,934,074,107,337,706,125,
902,895,411,210,993,629,868,799,301,367,630,590,465,441,930,576,208,597,562,
713,568,364,334,388,427,287,550,027,797,890,725,163,468,490,067,049,631,255,
518,711,101,627,897,668,634,857,809,331,337,141,288,765,086,822,561,328,348,
994,305,958,900,583,296,094,789,264,084,408,687,782,769,794,871,593,312,282,
844,000,205,324,842,771,420,681,808,679,457,542,383,690,565,064,618,540,946,
673,056,636,653,722,882,757,215,622,602,975,502,969,358,755,006,319,932,986,
403,522,327,290,971,228,304,868,717,660,909,570,134,861,386,021,915,292,891,
552,442,534,223,911,415,054,623,500,536,138,321,275,242,091,898,420,668,967,
519,715,157,431,120,558,271,730,079,105,616,910,953,889,773,909,696,773,653,
679,573,252,631,186,004,551,172,586,122,610,272,835,926,976,017,706,568,734,
908,361,114,875,528,873,394,172,953,009,480,336,930,683,816,525,502,524,831,
445,021,448,916,973,364,794,425,509,436,867,587,652,299,091,551,377,189,186,
997,647,905,678,934,201,768,509,861,773,829,628,380,309,336,188,817,066,666,
883,197,059,679,569,375,870,149,654,581,778,067,628,140,019,168,034,519,507,
224,675,218,075,791,769,201,127,752,304,937,546,862,371,307,087,685,925,285,
006,469,138,899,930,881,259,159,350,852,600,716,634,038,628,955,981,306,085,
676,273,088,292,067,370,256,054,151,306,429,563,128,018,280,312,109,995,620,
140,803,749,427,741,508,305,897,734,925,594,424,204,019,042,184,463,548,496,
846,741,774,433,104,007,183,268,484,872,461,287,244,398,123,266,666,244,078,
865,238,338,922,565,239,799,451,531,757,632,080,556,248,820,659,937,759,584,
790,099,513,484,795,477,007,482,050,647,619,184,191,288,131,143,515,185,064,
008,720,919,787,666,772,805,204,022,857,522,973,886,717,546,977,412,339,196,
977,066,236,465,560,276,444,176,478,937,627,397,675,572,492,918,179,245,814,
278,857,189,437,192,226,476,338,265,489,619,955,389,120,414,056,242,179,836,
429,139,636,216,531,728,804,296,410,351,308,798,414,609,995,803,330,351,862,
855,169,673,782,354,000,704,707,638,631,964,417,318,937,181,150,372,510,625,
573,341,175,251,331,291,278,789,791,062,817,803,295,849,040,908,321,575,540,
081,522,696,794,455,114,294,412,512,130,498,874,698,250,405,635,662,100,862,
583,638,675,095,685,443,754,494,902,374,341,859,208,812,211,948,628,456,976,
770,409,535,877,879,686,141,556,020,335,470,928,494,137,809,532,444,755,188,
066,308,231,318,667,420,069,650,585,054,751,906,733,910,973,380,931,951,832,
773,033,048,803,613,954,952,509,906,329,939,381,522,001,247,576,307,228,553,
380,530,213,640,239,428,682,294,552,014,147,454,582,919,957,942,688,898,435,
089,274,723,173,972,559,267,178,304,466,817,453,268,542,215,890,013,288,900,
304,239,125,849,413,495,930,658,541,126,768,878,613,587,543,650,012,992,519,
846,069,957,871,496,532,592,156,123,823,561,182,182,528,885,711,306,790,290,
805,330,054,998,142,863,474,139,132,438,292,391,299,827,272,125,113,165,355,
139,301,989,598,380,807,376,301,986,491,404,419,860,133,755,232,230,761,278,
248,396,073,270,108,390,575,159,231,472,711,018,921,198,212,743,840,679,025,
581,326,530,117,185,384,996,763,368,524,988,082,526,307,450,931,095,961,167,
883,634,172,625,511,124,990,813,653,892,297,103,238,845,641,066,971,463,970,
956,376,795,039,396,782,480,431,750,200,925,431,120,653,923,735,100,678,826,
726,096,084,723,890,493,335,017,514,875,591,135,067,997,649,910,583,609,336,
818,970,490,935,648,493,791,921,717,643,113,244,316,797,901,323,608,065,665,
902,788,528,417,233,270,452,594,469,373,401,207,792,051,457,842,895,619,587,
419,632,410,330,447,825,930,500,533,857,861,544,017,966,833,879,073,812,241,
773,194,804,310,765,426,460,238,658,828,893,740,555,664,846,958,252,683,577,
005,796,172,328,942,414,471,910,283,936,988,473,966,903,732,175,311,894,386,
489,690,045,954,348,724,730,061,514,037,924,143,201,777,919,277,818,447,385,
807,144,806,096,624,189,390,384,484,569,881,919,369,466,889,644,299,888,354,
400,723,852,314,997,714,555,254,299,167,684,739,383,514,680,402,963,916,322,
809,847,939,735,958,115,724,802,583,143,661,226,138,243,794,232,642,046,354,
885,559,861,197,547,916,278,553,034,929,396,688,630,206,672,265,185,166,298,
872,059,343,876,007,595,698,267,625,741,765,552,550,635,589,063,045,901,260,
535,273,891,241,375,196,404,662,436,946,315,433,483,977,607,523,044,061,197,
760,087,617,670,840,365,586,373,473,219,719,740,571,585,536,346,181,010,228,
729,760,310,618,667,509,788,653,912,575,463,099,191,743,276,425,352,371,960,
278,295,830,803,840,386,669,961,652,654,170,097,181,331,979,102,081,392,817,
674,264,397,219,253,603,344,079,129,811,858,483,384,027,691,011,235,467,187,
804,370,754,546,492,568,800,689,171,921,282,903,742,634,674,869,310,871,899,
858,813,659,535,333,583,852,202,460,584,085,836,852,874,345,903,088,112,100,
710,857,674,041,137,393,527,808,595,183,301,562,158,181,925,929,028,361,745,
461,192,321,624,304,719,075,161,655,806,211,100,334,206,817,234,087,019,305,
150,040,419,608,709,163,310,222,017,973,764,841,111,974,413,068,940,636,923,
392,422,738,361,881,217,180,672,483,288,197,374,658,775,130,475,362,020,019,
839,050,920,550,493,624,726,681,009,766,662,122,234,246,073,837,463,072,449,
242,758,539,136,722,060,001,283,622,645,778,971,692,924,225,504,899,636,744,
831,343,661,434,170,738,082,139,318,572,638,996,981,767,053,818,818,388,515,
578,628,782,061,643,426,472,350,539,041,129,959,853,003,415,739,841,043,928,
020,681,650,376,679,233,034,164,140,208,065,578,502,132,216,504,135,943,399,
887,873,010,787,413,486,944,869,757,986,072,659,129,555,560,890,834,450,751,
178,177,667,242,534,563,255,586,952,797,135,437,370,513,063,485,097,829,807,
832,143,428,877,221,577,552,970,395,212,237,900,157,791,801,577,645,489,774,
042,629,346,807,207,896,240,847,166,693,853,967,289,798,621,278,117,715,858,
149,411,460,719,783,920,124,267,383,068,824,178,083,418,826,552,184,102,631,
803,367,255,388,083,425,300,125,388,644,261,430,597,272,482,810,835,447,081,
351,189,022,044,015,370,090,311,976,353,044,368,811,400,214,510,260,051,033,
934,066,338,552,692,616,593,337,809,472,964,266,687,221,094,895,686,871,307,
709,365,940,386,870,627,987,267,642,122,479,013,535,396,445,140,173,087,541,
919,540,404,553,434,665,113,827,229,840,217,462,052,118,112,549,662,069,421,
253,890,004,388,949,407,698,199,693,118,092,489,763,541,759,916,117,278,878,
754,760,327,381,678,391,826,507,692,254,473,620,735,074,883,322,774,368,648,
956,916,475,955,082,502,522,113,330,105,899,054,100,009,407,908,708,032,581,
352,938,947,213,543,016,308,494,026,941,373,114,770,268,042,270,565,839,201,
857,565,583,304,389,827,387,720,988,015,563,245,301,521,109,789,425,524,387,
827,905,510,884,713,046,183,290,686,234,168,324,023,918,132,499,078,209,433,
756,847,952,992,239,469,936,988,183,983,946,114,413,139,565,489,369,327,729,
945,747,254,524,843,541,713,663,855,585,237,104,134,096,381,165,194,976,263,
446,747,259,856,408,289,455,516,720,535,792,773,476,955,496,265,125,166,783,
916,267,425,294,774,716,001,725,293,857,652,293,221,223,388,015,907,604,125,
694,211,148,090,797,318,579,908,887,278,860,355,618,682,262,121,579,370,703,
469,349,296,798,029,397,776,009,578,896,195,473,052,969,435,893,881,936,173,
281,801,221,041,942,465,048,791,818,121,117,902,711,577,315,811,531,170,474,
751,496,268,146,427,280,682,357,232,702,587,909,052,641,874,636,570,655,746,
673,693,796,238,358,684,374,582,339,292,553,924,642,058,428,974,628,085,301,
154,704,319,805,609,556,580,380,691,315,097,835,450,184,446,586,745,305,723,
192,042,398,080,108,126,219,705,079,989,646,598,344,605,824,407,652,064,051,
823,375,718,897,986,918,478,019,279,287,257,316,248,996,293,550,667,945,017,
361,575,657,057,014,759,535,281,789,594,359,925,644,928,126,735,791,783,981,
615,463,067,770,295,526,067,427,761,431,732,065,115,915,402,470,718,039,447,
904,115,668,325,269,499,940,743,055,149,402,958,240,820,170,061,655,362,054,
419,259,889,549,282,436,677,243,592,990,517,843,481,979,008,111,729,515,272,
049,024,952,371,964,985,976,247,966,504,060,832,530,158,775,578,523,778,353,
337,406,282,135,833,762,260,988,709,831,097,868,347,079,723,109,499,467,759,
992,758,888,161,988,901,399,476,848,487,341,133,404,353,628,978,862,277,348,
231,247,119,255,164,290,196,531,418,839,946,885,336,498,442,499,890,498,660,
714,045,568,808,108,507,857,218,303,918,172,440,229,053,668,675,094,917,407,
974,773,021,220,425,018,265,267,743,887,643,298,422,707,308,606,500,978,971,
940,432,675,115,442,692,722,920,984,087,522,018,357,076,146,287,515,369,473,
877,457,086,119,531,181,811,553,255,950,290,558,686,686,824,339,063,967,735,
715,381,877,230,277,974,155,191,112,008,722,301,466,417,137,374,004,968,507,
643,327,398,906,107,503,990,496,365,010,186,932,216,265,408,452,071,561,629,
926,825,969,878,935,454,008,119,422,507,013,485,451,560,455,304,453,241,354,
584,919,289,935,635,993,240,314,867,112,122,529,348,120,346,365,222,275,674,
039,050,829,247,227,326,477,002,490,154,545,373,721,458,257,305,043,823,927,
957,801,302,881,295,604,834,563,736,408,677,987,477,076,632,751,056,166,841,
034,328,765,262,238,998,509,432,575,795,354,623,355,153,738,756,356,045,785,
474,886,795,969,732,612,466,016,286,025,016,321,626,557,166,507,534,893,606,
878,042,319,436,923,126,803,591,090,691,356,851,960,130,627,201,928,847,415,
932,326,833,092,214,856,024,810,940,075,297,574,571,517,683,501,665,765,637,
882,511,582,731,885,472,701,882,774,548,997,761,222,419,018,767,762,908,762,
559,236,464,515,663,054,575,789,144,520,272,907,727,118,485,611,178,518,034,
722,815,119,214,906,535,419,871,968,527,807,106,207,935,125,012,883,218,379,
901,806,065,131,745,683,091,748,016,097,041,314,719,719,939,501,714,826,177,
332,537,055,161,451,732,284,454,058,132,070,772,132,905,411,087,743,629,625,
088,419,433,457,397,321,724,797,108,711,675,580,196,156,823,604,825,665,507,
977,352,089,255,538,966,741,405,206,718,972,932,880,461,982,490,765,716,401,
143,107,741,107,512,187,027,535,821,035,485,280,234,567,770,738,462,873,967,
303,592,920,637,398,679,310,102,966,075,621,573,218,412,433,593,524,991,492,
761,527,766,837,730,291,748,276,602,626,473,556,115,934,166,513,713,784,584,
296,411,910,246,045,129,265,488,399,261,608,516,758,231,722,903,088,754,221,
140,287,615,999,051,608,894,095,336,839,506,311,639,875,895,744,703,078,147,
606,094,415,688,701,851,778,477,344,296,310,166,622,956,768,660,245,123,192,
228,649,504,632,818,500,650,653,017,160,686,402,851,360,723,499,578,300,239,
939,974,387,360,115,029,707,451,620,820,540,475,388,332,958,432,923,732,649,
326,282,341,743,085,787,423,836,013,660,972,312,848,602,253,897,266,101,940,
625,994,086,994,695,949,129,953,038,888,573,430,150,685,096,483,273,594,567,
588,950,093,248,725,248,181,340,092,914,594,692,914,069,970,046,214,739,698,
133,473,990,551,044,798,793,513,070,487,398,200,616,482,614,937,199,322,434,
075,226,952,710,073,922,068,476,992,769,612,034,167,725,864,938,591,514,757,
653,956,635,726,744,554,857,136,531,553,470,211,498,406,919,793,481,261,716,
663,452,226,675,596,361,481,297,755,773,849,637,214,636,578,358,604,948,855,
918,515,096,764,612,103,948,419,544,778,105,250,059,081,592,313,437,181,708,
196,731,245,372,318,066,558,051,723,904,104,132,347,254,345,591,148,568,173,
373,844,428,346,665,936,020,099,026,786,674,981,227,621,229,571,226,465,875,
322,789,279,739,369,824,854,433,784,765,735,392,810,064,623,275,168,644,578,
637,983,441,185,393,240,050,380,862,286,419,813,520,947,422,620,615,934,962,
203,327,787,329,546,575,992,375,432,451,725,260,130,527,598,222,454,758,000,
429,706,825,742,264,932,514,863,466,114,125,682,084,684,364,349,305,791,215,
166,890,955,224,261,690,455,804,080,591,720,977,933,716,822,157,094,066,061,
137,629,736,047,349,253,246,422,269,798,345,199,697,811,620,512,671,399,497,
745,510,132,869,534,639,815,853,559,068,524,753,851,124,728,625,861,572,092,
675,553,176,164,892,513,200,697,468,012,149,287,893,458,299,200,285,471,207,
536,979,343,343,033,444,066,743,845,421,815,540,614,486,215,495,381,632,467,
115,017,413,638,386,917,763,391,860,553,906,473,818,449,831,455,686,667,538,
237,894,840,553,081,143,145,450,098,413,671,499,234,165,469,460,326,161,267,
193,731,464,413,895,339,877,762,654,884,612,891,441,285,346,651,805,939,011,
935,282,729,947,852,811,797,990,823,284,133,053,508,989,211,359,753,576,365,
086,975,939,998,866,113,068,523,731,614,467,571,064,537,517,225,138,637,288,
135,666,335,195,442,099,446,428,305,026,999,050,884,190,565,214,317,159,427,
313,095,511,344,081,858,894,745,544,041,892,043,585,724,172,129,292,718,085,
799,822,393,566,408,405,196,880,989,579,251,248,765,576,577,274,638,817,649,
812,290,657,242,193,751,554,015,730,843,194,285,511,768,161,232,721,243,532,
512,754,171,563,863,137,865,291,643,294,399,469,232,879,778,006,909,679,145,
512,003,754,129,965,885,524,283,896,300,464,844,561,525,166,357,604,656,712,
357,582,055,307,121,782,278,593,770,915,520,878,120,609,582,960,307,972,282,
909,336,129,273,415,934,019,568,385,022,289,648,825,831,373,012,743,286,000,
457,278,682,707,705,058,767,669,555,877,565,861,614,815,140,329,087,383,673,
689,291,349,970,245,796,130,724,341,949,364,627,781,558,310,464,276,838,927,
267,911,144,240,611,346,604,508,164,558,658,626,891,715,134,418,518,527,564,
625,803,195,987,695,660,430,035,581,517,746,668,050,296,855,097,425,274,298,
455,580,289,514,446,883,382,402,318,868,997,062,608,563,173,128,250,880,215,
092,515,987,605,834,563,015,990,584,324,116,405,680,984,803,410,112,856,089,
841,597,097,397,465,730,489,642,375,991,255,215,480,422,320,846,075,697,497,
442,372,977,937,556,779,155,005,633,633,874,154,278,869,978,237,084,560,074,
061,906,555,775,522,056,360,929,508,884,331,088,542,368,398,141,840,721,697,
527,512,633,325,763,763,540,938,866,173,747,067,601,115,530,557,163,193,741,
056,433,163,845,196,176,153,910,036,521,753,168,562,076,286,066,679,140,423,
496,977,227,329,504,686,782,463,161,246,346,581,708,818,033,785,803,495,544,
931,139,263,773,991,226,692,153,619,939,442,934,954,463,767,950,771,525,546,
478,620,451,544,953,955,879,066,721,555,283,948,806,761,874,656,865,783,742,
104,173,955,837,913,419,529,784,149,345,931,657,690,818,240,191,541,936,305,
718,630,725,464,480,337,984,624,443,158,398,033,475,292,582,170,579,293,802,
428,251,198,606,005,044,159,515,281,897,505,510,214,121,030,171,926,720,888,
983,599,395,598,337,034,262,679,636,743,676,608,213,460,904,048,475,662,949,
409,454,773,441,516,999,325,115,984,100,317,136,073,926,081,389,342,585,177,
043,244,090,986,692,137,958,615,182,214,858,171,014,638,391,564,156,002,827,
447,630,475,067,946,537,945,788,094,838,089,560,765,096,598,601,913,668,245,
888,312,084,330,714,989,842,531,829,015,962,625,263,786,360,546,140,349,612,
082,603,397,456,369,719,216,785,733,571,602,959,820,947,231,471,018,430,911,
592,694,395,716,874,437,006,134,342,428,582,715,884,304,341,269,327,317,084,
868,506,776,405,802,386,644,807,214,229,374,280,006,830,833,061,940,196,863,
853,969,881,991,930,201,468,962,277,227,437,120,602,231,707,722,417,034,968,
754,345,012,527,966,532,917,950,717,597,099,111,204,883,720,539,889,215,549,
846,193,916,299,256,321,381,196,080,408,490,849,006,281,314,740,483,138,812,
076,815,606,033,566,557,398,366,014,155,658,111,841,386,886,521,246,248,040,
371,593,781,079,373,323,714,277,753,830,691,482,044,131,527,259,628,251,030,
770,291,196,624,471,811,627,086,241,146,246,837,560,550,325,141,526,581,090,
134,085,166,721,830,570,353,873,551,334,422,732,120,291,502,126,521,367,090,
598,234,492,408,736,403,727,571,695,610,391,382,966,360,318,989,097,342,570,
034,515,283,065,734,520,608,942,500,306,805,166,426,329,862,510,120,366,830,
989,658,385,125,671,201,969,952,069,207,226,832,181,043,882,807,398,283,893,
818,503,166,926,066,694,150,599,445,193,310,421,962,647,439,849,113,334,270,
904,219,623,270,200,958,696,012,886,194,663,468,642,009,274,102,414,351,070,
618,980,094,440,362,151,795,823,861,007,254,955,172,539,992,293,645,767,015,
316,157,923,210,904,255,700,606,771,501,901,800,394,969,785,826,517,368,859,
801,205,377,530,335,886,517,152,048,847,341,219,428,615,063,111,569,762,369,
205,131,241,599,455,429,638,577,728,648,603,877,020,961,192,023,413,416,624,
148,461,810,533,709,090,006,512,683,377,110,067,334,041,828,560,844,177,645,
607,905,462,331,092,116,795,507,589,004,159,001,630,962,605,002,871,311,386,
074,626,969,390,570,925,837,091,675,667,548,839,858,082,807,400,045,466,589,
516,403,355,617,877,541,395,786,458,864,052,725,560,960,576,169,428,080,919,
553,190,144,817,634,848,646,303,367,836,293,235,072,278,682,642,367,651,066,
539,641,085,030,727,903,846,822,034,330,819,281,221,427,518,090,127,438,461,
748,868,477,034,350,091,795,742,504,612,376,686,097,660,926,541,477,618,395,
286,508,818,961,163,705,051,235,921,973,157,289,090,586,060,089,599,938,001,
735,327,375,193,049,039,030,861,297,080,531,405,270,027,041,391,734,341,906,
449,465,954,302,756,996,086,454,300,813,551,393,976,861,924,298,408,586,179,
247,390,603,892,481,819,819,309,672,799,147,018,823,778,529,921,181,115,223,
027,665,126,678,189,036,019,304,567,308,699,393,954,578,891,724,118,786,194,
570,837,803,979,833,985,882,555,233,933,916,127,495,202,276,247,413,227,714,
156,764,571,866,023,349,487,642,281,165,170,543,208,056,654,770,124,915,308,
813,924,282,424,403,988,940,243,545,128,990,948,733,231,960,905,893,925,781,
620,680,367,970,185,903,946,957,827,578,200,744,524,629,561,793,338,469,598,
646,737,632,750,529,859,558,072,164,851,161,790,286,211,461,355,885,482,701,
391,302,122,277,243,188,783,805,465,844,910,714,018,965,058,690,347,787,438,
073,945,223,785,733,270,132,514,266,230,490,530,874,215,965,428,026,154,728,
784,319,131,529,773,637,507,558,713,874,065,821,693,317,754,572,090,775,741,
135,283,211,665,037,633,533,819,873,508,252,378,266,804,646,635,084,277,874,
568,576,150,454,549,881,892,769,430,695,950,528,002,141,869,791,606,479,207,
667,031,966,043,749,624,604,144,768,300,585,711,016,933,608,471,905,665,229,
712,053,304,367,732,353,521,204,559,996,520,377,465,958,670,340,653,566,971,
713,772,079,754,532,056,553,435,787,581,809,753,829,518,789,365,458,409,247,
139,646,818,669,300,750,643,979,279,774,688,348,955,435,052,820,648,943,744,
776,293,993,532,356,391,354,290,187,809,330,267,377,692,129,503,757,779,914,
692,484,948,191,460,878,081,176,226,041,145,773,918,841,897,331,072,798,933,
585,626,789,461,456,306,108,536,309,921,596,176,914,710,394,934,110,719,902,
099,395,834,267,751,123,137,807,362,442,433,515,684,444,986,455,213,525,219,
673,882,893,723,885,994,353,545,474,102,654,053,509,427,850,798,376,328,115,
106,076,661,453,237,677,094,209,658,385,596,093,388,926,654,700,653,438,134,
594,799,350,164,871,038,479,520,526,063,494,631,275,185,733,822,746,992,817,
342,915,284,496,496,132,902,813,449,751,157,030,328,567,764,695,968,515,803,
073,936,684,524,719,567,634,657,873,741,728,332,222,660,115,104,572,727,305,
570,082,745,946,007,448,341,949,596,409,624,657,352,585,714,490,110,575,152,
037,086,001,269,308,362,397,701,530,506,642,237,025,179,719,425,974,010,264,
294,112,222,359,933,831,831,061,161,780,457,612,562,390,069,224,529,854,820,
517,033,245,413,407,192,087,165,454,838,877,627,610,565,337,270,187,601,905,
293,314,340,006,595,606,422,312,680,188,914,655,222,531,824,047,495,232,051,
335,668,213,238,900,627,475,801,581,267,635,669,687,502,776,294,660,411,572,
425,446,177,277,489,404,350,782,200,810,003,429,796,018,398,264,557,667,871,
538,706,110,424,731,767,830,651,432,104,616,491,359,445,374,119,637,261,148,
983,232,553,670,419,035,688,291,651,399,408,004,982,218,058,414,103,620,309,
531,910,604,352,707,434,247,412,267,912,730,434,807,817,338,877,855,101,080,
071,596,576,104,866,948,755,267,535,810,207,513,788,342,166,330,912,542,782,
516,403,466,865,325,892,698,445,541,176,554,104,452,382,521,325,875,168,797,
226,302,251,444,503,793,222,918,293,109,160,813,083,737,085,087,176,959,969,
637,339,271,753,266,660,878,169,902,680,613,710,405,163,011,459,419,236,049,
034,035,068,228,287,398,788,435,759,919,823,682,507,451,514,379,123,059,520,
991,458,309,193,501,246,786,457,225,619,075,697,595,904,121,979,545,111,437,
316,792,727,335,255,965,258,722,090,956,978,606,029,266,442,522,605,549,214,
654,212,137,582,918,538,651,946,505,980,066,964,702,078,522,681,078,224,566,
092,073,131,532,786,998,069,591,506,707,408,559,003,379,065,995,075,981,611,
503,299,252,476,510,868,510,318,467,784,612,324,537,402,678,429,120,100,696,
222,796,418,155,678,623,382,056,892,949,387,779,857,729,003,387,673,788,394,
919,851,438,176,326,366,047,572,208,888,582,552,815,992,312,956,359,218,413,
802,441,745,128,720,080,503,066,275,783,908,745,570,107,907,181,260,946,823,
163,678,408,688,627,636,601,286,375,306,499,845,611,876,644,960,141,919,620,
913,253,730,560,641,057,941,150,493,091,121,792,096,977,654,377,449,241,679,
376,400,517,961,137,253,737,091,199,000,229,962,287,364,500,878,822,302,897,
761,519,225,462,028,274,222,918,567,023,725,285,121,193,780,409,697,970,898,
791,746,535,892,696,188,808,501,072,205,595,359,812,298,025,309,433,119,200,
922,871,158,409,618,343,651,853,533,130,414,972,416,350,940,002,208,849,683,
744,752,306,979,752,770,096,065,574,803,883,961,925,334,795,671,684,493,448,
467,608,172,312,779,064,610,990,016,235,637,557,190,209,054,612,893,777,386,
129,792,511,400,381,306,409,645,587,890,431,473,563,010,684,185,597,968,240,
753,545,635,865,537,749,969,360,591,281,791,977,768,159,247,167,131,574,786,
174,500,832,290,281,327,300,053,099,957,251,463,244,936,114,212,622,257,292,
387,225,221,009,440,002,016,417,753,096,638,919,514,001,894,219,105,672,194,
342,586,984,491,470,997,529,368,655,951,800,665,278,754,855,677,244,011,706,
968,876,559,717,004,966,949,541,595,111,326,206,691,992,978,951,143,351,141,
916,327,548,537,149,868,653,166,103,593,041,146,998,485,899,003,590,407,459,
710,942,637,574,254,564,349,983,421,026,663,436,689,733,056,956,716,669,795,
564,957,446,521,030,330,305,078,022,869,078,520,523,944,638,843,294,521,062,
114,206,062,182,047,747,589,379,479,974,864,800,323,389,523,907,453,179,048,
922,434,256,234,640,737,667,227,840,767,357,870,691,070,117,848,070,695,230,
702,001,262,989,194,332,317,372,205,645,588,258,729,392,177,149,090,163,363,
485,167,509,603,638,544,025,232,451,992,686,104,554,724,001,467,336,858,076,
558,859,331,885,396,258,397,437,317,275,742,250,874,257,449,111,838,306,958,
854,911,352,927,449,821,871,035,214,454,356,422,627,634,972,135,712,600,838,
370,534,823,660,855,486,527,087,961,839,480,607,983,472,902,644,338,185,939,
546,803,052,182,976,579,692,765,894,829,092,885,709,903,363,745,867,072,011,
945,975,994,392,166,480,547,945,179,801,334,977,523,012,106,416,575,579,941,
027,806,719,650,140,094,044,422,114,589,324,750,539,787,286,077,736,067,475,
501,365,828,377,435,023,838,513,876,382,555,494,988,244,274,446,703,693,008,
571,358,667,033,606,513,104,142,318,920,542,513,828,653,748,087,714,559,721,
900,340,167,893,178,775,586,122,036,414,297,585,822,830,305,051,978,710,174,
067,405,525,798,865,447,724,027,345,755,305,803,988,629,622,549,094,708,831,
696,215,398,559,375,431,493,893,344,569,252,367,238,681,591,068,584,049,314,
802,755,946,811,990,677,525,564,104,710,924,910,687,237,694,409,805,265,009,
879,415,646,040,269,107,068,762,737,646,457,053,457,472,198,291,964,214,689,
502,242,697,964,311,068,705,523,246,983,720,936,725,637,466,069,062,908,567,
187,854,754,908,396,667,900,790,946,134,912,709,770,769,723,090,146,181,191,
885,159,752,955,775,517,650,123,467,635,091,485,447,780,059,886,771,680,000,
495,717,926,675,118,364,306,199,547,691,472,343,294,604,890,046,289,447,810,
114,687,483,732,288,698,925,170,097,929,947,400,653,483,151,418,016,838,099,
413,685,282,632,967,403,857,341,178,097,549,971,038,062,974,425,059,639,426,
385,898,989,070,849,782,093,978,404,873,421,331,452,318,431,746,359,354,353,
394,201,033,480,856,938,467,006,248,034,484,767,619,914,096,474,674,596,903,
070,394,698,499,435,197,947,399,196,716,164,348,315,062,342,294,817,309,759,
749,272,754,545,428,055,949,969,950,484,744,152,531,036,405,082,806,668,403,
378,898,798,177,094,322,689,228,590,760,342,055,810,669,364,262,148,691,067,
927,350,805,674,521,237,150,175,805,057,154,887,826,747,676,668,824,439,717,
807,475,166,896,467,997,639,920,385,835,312,964,556,371,112,515,101,440,032,
669,968,438,491,395,893,268,751,374,032,626,219,694,285,748,600,013,006,628,
323,585,037,076,535,763,129,210,746,291,727,806,791,380,171,565,026,664,104,
871,849,444,469,660,085,174,762,545,123,179,575,228,213,779,906,258,664,656,
316,809,768,398,407,288,590,275,530,857,050,772,558,283,632,326,292,813,882,
423,343,957,124,196,325,763,846,822,081,523,264,026,560,691,300,244,447,203,
428,051,675,689,523,182,320,879,645,308,165,884,787,435,735,526,796,117,413,
988,644,290,489,548,743,951,883,618,531,919,861,495,720,675,325,834,264,661,
250,951,912,756,282,406,092,167,657,032,746,181,127,386,848,175,378,993,612,
460,664,231,098,750,143,536,147,790,475,940,781,807,790,964,251,509,974,853,
581,119,281,190,017,491,246,872,265,317,163,372,214,526,143,035,236,995,333,
265,192,980,116,918,051,577,626,817,671,731,560,956,793,437,646,634,962,262,
061,957,848,553,025,520,555,468,909,169,782,178,687,828,008,833,249,918,056,
916,481,461,853,610,798,820,688,663,999,424,423,127,319,895,766,981,497,111,
977,742,430,987,435,288,162,810,363,787,767,557,400,759,298,756,806,506,185,
702,853,637,104,080,801,087,026,072,685,219,166,163,490,853,247,886,995,315,
682,501,563,391,271,814,701,924,246,594,458,897,721,257,185,434,882,289,384,
680,142,886,825,558,557,475,798,143,542,062,339,515,779,448,632,666,770,985,
885,907,487,949,052,594,936,086,451,211,029,262,179,612,443,355,164,678,608,
889,375,912,677,895,079,892,570,261,852,871,132,616,411,689,554,803,270,974,
981,480,884,330,654,305,140,585,057,740,311,468,370,253,107,722,358,505,570,
559,365,479,126,674,047,644,735,912,205,777,962,361,800,954,574,096,661,858,
913,426,398,160,616,387,355,799,406,700,075,780,219,755,772,901,034,032,071,
054,063,502,999,218,895,982,255,649,136,741,955,753,547,201,178,634,219,747,
949,511,679,793,182,646,554,112,003,529,107,079,991,373,638,341,648,571,870,
056,936,820,846,108,588,591,840,042,408,016,236,727,976,666,299,632,638,638,
384,185,911,740,896,077,258,697,120,530,153,429,460,697,694,140,000,848,862,
841,966,791,372,806,390,810,406,232,030,822,582,623,307,816,385,031,332,442,
838,513,145,142,511,541,436,098,363,743,624,736,874,715,223,490,317,620,880,
488,469,984,191,167,335,756,003,060,629,276,803,359,830,358,951,077,646,427,
525,896,776,941,970,029,913,048,635,715,630,077,993,405,881,121,254,139,460,
720,776,759,211,211,811,703,005,965,885,025,115,243,051,616,035,596,074,137,
748,780,678,783,676,270,266,104,454,052,287,605,177,119,810,834,643,410,287,
991,489,177,195,980,076,836,391,104,058,914,804,545,781,270,970,698,732,974,
348,808,956,245,348,514,180,384,662,011,793,313,405,678,341,869,947,690,880,
632,396,872,531,931,708,533,399,871,383,783,540,524,477,492,513,415,349,195,
194,158,081,428,590,010,491,392,678,023,312,458,641,968,808,918,581,295,840,
803,378,751,998,402,773,267,232,854,271,746,561,070,593,078,252,496,730,167,
251,697,847,321,842,826,797,981,692,106,465,519,270,158,251,915,686,801,666,
003,219,442,237,887,061,437,249,175,192,240,532,161,035,517,299,464,870,275,
176,144,953,384,990,735,065,217,746,127,668,817,006,777,771,552,686,965,421,
210,461,347,450,188,871,957,170,804,504,113,462,330,443,123,168,324,119,555,
037,990,139,946,274,516,652,014,436,308,998,164,092,449,115,665,519,709,409,
680,787,047,275,875,751,576,408,745,846,994,184,385,081,258,677,022,697,532,
204,091,506,990,712,998,702,776,009,613,418,461,166,544,113,097,668,707,725,
225,577,590,795,723,028,224,183,207,291,418,899,228,266,868,961,864,258,153,
475,804,402,674,933,308,721,079,951,193,718,245,422,443,647,715,177,637,165,
107,190,546,695,372,122,689,373,630,131,674,384,681,902,448,264,850,222,379,
218,132,412,438,506,560,642,967,056,659,258,076,407,492,509,665,824,554,412,
916,275,583,689,101,157,164,112,556,597,178,213,627,340,603,119,680,060,985,
835,194,331,549,687,907,166,503,371,506,542,952,550,941,924,182,625,768,129,
573,977,933,462,024,103,288,635,931,032,218,651,973,241,451,274,078,997,558,
004,931,385,921,192,683,735,220,917,551,838,981,265,612,604,299,664,928,442,
116,198,846,830,021,568,041,940,097,258,160,258,567,258,112,365,184,826,974,
785,971,089,917,018,236,644,057,945,846,365,647,198,144,103,426,635,223,842,
453,218,284,402,780,095,919,737,551,800,886,022,747,379,742,608,622,431,302,
285,620,499,371,975,363,527,897,840,582,113,341,990,437,539,308,413,004,410,
723,782,869,693,558,993,147,146,184,342,645,739,868,375,911,292,259,893,414,
005,834,902,239,761,567,271,408,385,385,973,323,696,259,496,037,167,608,419,
039,631,650,256,662,250,762,100,165,524,964,555,497,662,242,082,057,653,317,
601,048,260,667,411,281,453,746,600,938,081,316,228,756,317,709,121,383,529,
605,023,798,685,567,671,628,825,914,451,160,410,021,204,775,222,128,193,315,
484,444,984,375,711,077,311,846,074,124,056,776,588,190,219,232,702,305,269,
720,849,294,930,514,216,118,223,245,249,975,301,747,395,880,409,051,509,158,
485,284,849,219,118,997,363,008,923,611,705,777,380,133,634,830,692,443,665,
827,560,752,914,810,963,160,222,043,917,563,129,737,434,835,924,321,496,753,
327,112,474,599,782,164,496,342,690,845,542,550,657,991,286,264,168,515,735,
849,486,419,771,382,939,401,143,247,014,346,625,375,678,841,426,528,679,097,
103,706,176,959,720,419,738,609,022,453,460,711,907,624,879,326,006,241,329,
425,514,867,582,011,948,189,196,930,034,539,049,358,967,427,502,963,157,113,
966,751,229,595,311,319,500,537,705,060,374,800,970,189,765,340,501,317,568,
338,387,644,441,737,209,070,115,075,539,225,733,759,195,199,694,896,667,145,
370,674,187,721,501,998,501,886,144,559,173,221,739,519,363,204,059,880,063,
761,162,396,865,116,259,596,024,052,536,548,886,926,510,910,062,159,390,227,
736,962,434,436,828,162,362,284,208,142,163,155,507,189,291,233,008,276,173,
467,039,522,024,080,677,761,516,236,947,022,980,230,430,728,840,424,816,735,
842,865,120,748,265,604,287,648,530,908,580,837,411,010,649,887,960,242,334,
635,936,535,597,897,261,085,575,518,694,525,249,421,088,733,636,173,379,142,
576,061,346,823,407,998,731,645,610,958,505,594,136,096,446,663,115,554,218,
690,594,650,006,531,570,180,602,183,325,342,303,025,897,597,122,309,300,126,
212,879,443,705,360,292,806,413,977,892,630,469,287,575,835,405,269,886,657,
484,451,807,690,000,758,243,794,753,560,474,624,590,661,658,870,554,416,744,
471,674,204,197,283,931,694,399,583,205,194,745,012,231,991,415,264,512,890,
226,314,093,674,542,801,848,382,203,129,374,636,417,678,712,444,079,740,322,
859,754,278,019,496,968,441,775,993,584,935,194,077,002,940,923,872,170,416,
839,525,694,367,419,496,032,981,727,475,111,314,394,735,615,615,472,344,964,
976,190,388,788,880,048,762,196,505,028,958,682,312,419,932,780,090,647,063,
383,458,884,362,590,238,706,642,992,557,260,906,991,125,148,993,288,444,453,
117,134,954,356,057,921,843,747,927,472,839,070,817,595,979,483,298,270,060,
488,934,618,805,986,251,630,157,436,511,460,281,595,125,257,123,385,243,591,
003,413,669,144,969,989,895,022,601,571,174,033,291,071,257,942,954,311,326,
336,848,928,826,823,654,499,721,617,067,202,112,740,497,802,913,117,836,055,
481,133,238,496,875,020,445,049,688,283,694,120,469,021,388,147,577,618,084,
701,855,698,155,178,591,357,325,513,698,209,650,687,241,371,670,580,105,119,
309,644,751,578,891,013,382,178,490,197,231,430,932,226,442,154,296,300,645,
967,473,268,919,986,880,602,139,826,282,732,751,895,834,729,998,851,708,908,
917,746,117,060,610,888,505,334,432,227,639,236,463,176,123,708,091,370,342,
415,387,762,654,091,443,582,358,045,876,885,601,208,266,486,228,729,833,154,
532,777,394,351,563,665,356,257,737,538,929,647,166,006,783,891,364,662,363,
379,062,572,497,086,603,056,061,999,846,345,010,951,842,860,971,766,835,355,
477,810,967,206,200,771,976,583,338,636,128,020,739,884,221,990,686,152,471,
174,861,450,961,952,503,482,584,373,112,425,632,619,762,560,867,251,909,181,
194,186,973,620,585,245,775,788,923,718,236,181,020,540,321,642,336,710,729,
635,283,031,534,448,637,540,579,579,798,211,041,739,608,195,057,955,413,726,
331,056,644,796,428,927,440,372,538,163,684,257,401,656,876,319,829,452,211,
601,022,553,662,839,684,200,737,054,290,241,964,358,389,029,720,466,935,285,
235,010,875,185,869,288,210,569,710,392,434,251,093,931,153,147,669,189,289,
195,775,896,441,410,665,691,580,580,806,879,517,790,709,813,927,185,210,621,
959,104,371,356,163,107,260,252,011,582,638,155,580,385,260,025,435,083,730,
980,310,171,494,746,369,330,676,328,232,164,566,258,787,913,050,795,212,901,
119,177,344,345,763,518,962,995,023,062,200,090,154,516,521,400,245,700,340,
227,384,155,574,391,915,320,592,303,373,881,477,875,459,582,848,111,257,104,
241,995,229,293,492,688,699,756,402,376,251,433,128,490,562,778,178,086,450,
492,614,897,881,706,927,737,672,490,816,102,695,948,102,142,009,607,290,046,
167,600,724,976,445,937,347,908,667,008,248,050,187,901,461,988,910,217,962,
160,887,919,784,887,333,140,408,863,819,807,147,652,113,553,003,062,688,907,
092,744,907,306,740,588,973,662,852,538,703,889,674,589,936,083,016,922,859,
595,522,881,160,175,810,105,185,164,136,149,524,565,055,786,166,867,387,309,
916,283,070,230,323,811,633,734,145,665,349,270,929,107,180,368,554,592,578,
709,385,213,997,791,546,377,155,194,781,613,382,659,355,171,331,109,374,330,
225,987,847,926,894,211,679,643,842,514,208,290,043,045,228,427,986,320,662,
690,153,317,969,837,882,153,029,466,581,655,854,447,947,169,195,639,446,742,
069,332,820,325,008,849,298,474,387,597,740,990,706,039,813,854,189,097,441,
662,626,420,880,625,211,081,099,093,076,543,476,290,064,468,286,341,445,066,
814,594,633,435,563,855,831,948,127,889,200,043,586,570,645,681,005,059,479,
035,933,300,563,661,242,417,941,374,171,959,248,356,892,819,069,024,883,207,
838,456,840,501,831,247,961,125,357,219,221,914,977,572,222,148,129,860,090,
017,173,430,665,042,908,422,508,445,487,197,437,542,503,550,489,686,734,737,
486,183,908,857,340,876,201,120,765,031,680,553,154,993,376,594,776,188,849,
112,289,107,620,177,300,007,287,472,899,335,216,071,351,692,208,594,223,108,
140,628,972,231,093,708,262,443,043,404,650,306,070,272,470,068,660,059,285,
310,194,347,337,996,630,693,531,216,705,326,400,584,585,132,654,921,968,711,
858,457,588,049,237,384,496,908,752,980,588,811,260,691,176,156,974,340,804,
843,342,915,953,952,632,517,926,031,867,242,637,634,219,564,149,341,744,220,
471,428,562,843,101,093,569,539,916,818,781,621,695,787,043,095,743,788,829,
953,846,603,989,440,382,396,103,761,954,900,570,824,919,168,117,392,795,095,
117,640,233,189,597,631,539,750,572,040,987,203,118,386,356,709,712,284,668,
320,715,863,242,423,356,946,222,033,850,498,992,792,143,506,771,294,718,176,
305,374,665,726,666,773,649,480,365,569,731,972,639,276,859,333,022,205,756,
351,611,723,167,163,785,448,620,185,274,201,089,356,426,730,048,589,179,175,
114,104,805,041,747,847,986,864,769,675,776,703,143,534,603,894,551,803,401,
958,121,043,896,593,537,453,913,777,827,647,879,020,884,563,079,712,587,826,
123,396,467,843,827,716,162,384,435,131,806,325,918,940,248,629,711,607,374,
447,324,654,865,533,265,460,627,419,339,279,150,637,880,088,789,124,053,825,
690,018,084,494,597,769,868,312,137,086,574,660,991,388,081,371,887,010,281,
025,329,136,825,261,237,336,835,442,806,750,020,162,946,938,683,063,157,716,
022,673,055,769,633,691,743,943,867,517,384,486,945,793,742,789,148,764,882,
484,509,315,744,683,331,826,542,660,431,884,370,399,370,888,904,405,062,807,
152,170,314,198,258,076,339,478,891,276,877,130,117,652,119,224,677,083,162,
659,758,925,334,719,311,561,177,454,332,239,917,033,407,621,542,643,483,436,
036,864,607,626,677,082,271,571,486,582,489,586,765,819,617,086,599,562,949,
148,350,861,643,262,801,577,343,280,877,224,638,757,691,124,784,972,942,295,
421,328,184,717,647,191,985,739,524,352,236,582,417,178,310,421,700,393,421,
777,631,425,619,792,030,037,739,259,593,907,653,241,782,534,632,336,365,066,
941,348,974,862,114,349,346,833,845,635,248,840,185,009,703,970,675,690,939,
280,399,295,983,593,994,669,436,841,497,923,014,680,269,593,620,175,615,992,
393,659,074,428,747,077,236,166,097,622,051,477,991,999,382,782,927,588,116,
540,823,508,118,862,267,566,871,683,368,776,496,310,100,104,797,721,034,976,
002,287,810,634,214,809,278,893,916,689,194,164,764,887,775,551,833,048,354,
435,214,731,790,474,623,565,242,116,463,514,153,560,110,159,245,925,481,910,
365,445,484,566,221,231,873,689,387,422,385,409,233,947,346,824,642,640,830,
075,848,831,171,165,258,968,110,768,373,138,308,939,087,482,227,077,834,620,
500,328,089,675,107,109,255,671,081,375,264,557,594,290,775,222,080,568,025,
254,642,446,939,976,834,683,048,177,736,984,657,996,299,200,977,707,846,487,
513,626,083,215,310,961,961,178,084,915,663,788,056,170,742,683,747,646,277,
489,159,753,684,961,630,480,881,276,968,973,526,335,572,973,390,150,720,383,
937,103,061,147,847,241,771,269,900,240,831,311,618,324,606,063,590,786,384,
728,389,745,079,533,616,706,714,668,229,694,386,207,494,144,921,073,492,173,
422,260,511,886,560,468,426,843,844,991,235,598,874,380,765,821,683,429,457,
745,559,430,457,665,436,434,933,592,241,091,614,217,811,290,464,010,771,301,
905,974,486,213,095,477,927,733,138,532,566,157,632,670,156,035,114,661,089,
135,647,167,617,052,589,435,408,936,094,398,202,870,814,893,489,728,406,708,
631,619,559,140,965,274,430,172,652,630,227,357,727,665,352,626,048,813,088,
094,770,151,244,452,335,396,579,400,281,221,069,431,607,572,676,302,240,155,
962,597,538,566,353,744,091,771,641,394,920,364,441,078,760,115,693,393,823,
350,727,315,297,755,601,677,101,749,182,172,234,765,036,980,347,020,259,631,
286,584,448,690,499,050,307,293,152,554,911,601,663,604,419,139,171,355,075,
492,662,369,068,900,015,267,139,339,146,692,433,480,009,468,705,594,613,349,
521,647,831,653,556,155,522,455,996,888,889,108,711,264,289,664,893,186,235,
740,636,771,866,859,099,250,284,059,072,518,145,386,505,849,044,086,212,925,
489,892,752,476,448,773,010,656,292,112,412,645,092,325,510,792,633,691,383,
930,316,706,928,795,097,176,273,583,311,708,833,165,182,407,005,151,220,842,
851,199,540,774,482,698,442,655,500,656,308,523,416,021,759,786,074,567,393,
012,882,961,721,440,485,445,740,139,670,277,011,532,626,142,707,175,903,475,
818,562,094,684,300,263,476,465,568,375,393,119,807,654,043,930,130,366,372,
211,226,964,470,409,827,534,217,890,670,684,581,814,200,023,258,459,465,577,
435,267,097,007,544,127,726,157,058,685,116,620,752,519,248,961,259,048,318,
279,962,731,979,963,412,237,349,805,234,225,099,692,848,565,598,461,316,604,
679,003,730,129,628,008,275,770,508,561,755,037,236,310,571,526,919,142,053,
733,723,248,198,213,679,413,156,523,308,485,124,181,687,930,991,815,745,829,
169,732,674,063,233,349,558,455,562,575,419,299,612,186,015,299,947,989,127,
773,188,205,781,060,875,384,743,956,165,224,935,735,416,834,135,244,723,689,
931,553,013,737,547,978,250,568,670,473,356,949,539,574,357,672,853,843,992,
256,953,781,026,089,764,404,436,283,387,763,145,632,889,402,022,045,301,959,
145,465,254,813,208,107,371,742,389,853,087,959,147,254,158,901,392,931,996,
094,794,544,044,136,160,641,523,146,973,623,408,596,469,057,216,497,303,677,
001,155,249,046,476,491,131,903,367,964,505,665,542,219,861,397,964,470,669,
087,406,118,395,194,960,177,430,788,162,139,089,810,620,765,632,810,526,345,
527,815,327,882,370,210,547,225,341,907,876,550,411,319,945,469,388,843,177,
035,677,016,882,352,578,050,672,621,072,886,663,228,358,236,032,853,886,340,
878,954,376,434,520,616,326,640,434,212,973,057,134,549,982,210,985,710,562,
997,565,731,032,831,893,146,051,218,791,232,371,216,132,298,224,670,907,137,
109,712,593,647,186,069,010,604,538,888,746,629,695,413,165,588,588,682,062,
168,917,224,691,804,410,298,603,171,321,410,631,652,655,384,025,183,625,167,
337,435,888,884,159,002,400,283,821,185,223,952,174,984,026,980,330,297,709,
089,355,716,444,939,236,702,951,426,952,299,280,091,664,706,517,515,986,025,
888,669,941,326,288,901,433,455,380,911,431,230,262,044,464,300,134,599,352,
438,989,702,506,936,722,323,184,297,526,786,326,891,069,083,878,685,767,821,
053,235,839,928,639,830,219,650,647,847,831,618,060,025,625,714,394,088,102,
535,892,363,526,305,881,107,075,041,926,631,421,299,349,689,056,144,474,355,
393,232,824,614,376,899,710,580,455,159,652,283,938,434,043,699,740,489,399,
356,139,607,977,832,067,006,505,062,882,261,978,415,265,598,346,709,433,047,
975,674,443,462,680,353,851,767,667,266,431,178,364,492,966,788,757,523,373,
887,489,512,836,074,008,457,860,102,711,457,764,048,619,666,008,027,309,578,
138,957,635,066,233,783,729,859,333,425,903,639,014,542,022,616,295,205,485,
731,014,086,263,882,797,098,498,712,261,583,138,226,553,487,272,803,475,768,
224,631,846,122,439,934,776,192,728,296,307,373,224,665,511,356,788,970,796,
235,694,700,691,773,496,839,053,443,488,252,345,223,574,417,558,220,178,442,
573,089,334,066,334,579,846,000,212,391,259,094,699,522,643,413,827,875,445,
063,911,558,710,638,211,863,514,859,554,029,043,118,279,708,446,827,479,796,
562,796,336,599,986,992,240,423,716,526,897,526,326,504,698,218,883,059,297,
523,865,440,163,931,687,335,195,407,623,256,282,657,376,425,355,651,465,655,
569,344,159,056,111,293,091,187,444,426,982,838,656,348,840,421,893,183,377,
362,046,953,677,875,576,459,730,330,391,351,856,855,538,291,583,939,557,911,
421,217,911,758,613,214,500,396,224,566,615,989,447,702,640,075,792,534,988,
900,442,909,209,632,618,929,670,060,588,227,337,101,160,943,586,789,706,899,
084,093,883,648,199,264,019,800,945,426,616,272,663,628,679,591,518,501,584,
566,592,245,966,126,646,422,245,470,095,940,178,201,831,079,067,536,146,546,
183,753,538,189,771,252,843,591,046,282,431,096,372,725,978,142,537,870,180,
171,133,410,480,355,479,841,582,514,537,538,120,585,333,363,192,184,955,057,
402,765,615,931,799,748,241,382,578,773,503,755,964,520,711,706,102,665,139,
901,547,400,345,303,676,538,538,295,621,138,297,337,912,435,523,623,627,818,
608,811,784,966,060,562,180,435,609,487,794,909,037,335,148,822,810,676,437,
105,298,090,536,506,556,101,402,927,978,925,813,679,275,616,620,087,679,272,
528,730,936,846,887,954,933,034,995,218,284,122,469,726,575,438,796,648,653,
620,838,251,511,622,101,617,493,073,125,804,421,888,880,240,305,698,125,347,
650,058,472,815,069,543,195,446,300,459,430,182,111,557,180,867,707,291,980,
686,663,420,075,561,739,907,667,513,686,903,135,156,589,114,674,236,239,802,
777,244,658,294,147,212,057,062,336,460,758,163,680,118,195,335,055,219,860,
364,906,957,237,652,872,743,928,864,673,459,143,212,439,923,680,406,536,786,
985,320,146,370,265,338,822,594,131,687,389,486,715,762,039,121,983,056,859,
304,702,253,191,652,582,260,320,767,986,026,191,789,744,588,203,511,514,062,
273,592,777,438,766,495,116,127,511,019,558,297,472,221,945,791,473,817,253,
242,650,877,194,544,925,498,225,856,036,732,660,242,962,554,454,043,926,668,
206,030,453,004,192,098,767,986,512,532,342,574,200,286,867,282,494,642,816,
243,590,697,934,406,662,466,817,833,360,637,680,181,195,907,898,987,827,618,
207,897,451,288,070,992,585,338,522,469,326,703,766,744,386,867,979,031,544,
047,490,395,555,912,308,897,130,987,683,897,753,513,454,651,864,787,282,739,
272,577,203,644,666,633,830,167,442,122,244,908,230,379,979,195,996,226,738,
194,281,132,344,722,534,425,182,868,586,543,670,780,520,755,586,174,361,331,
915,527,292,965,946,257,336,176,559,999,045,168,919,476,779,018,224,641,003,
610,302,784,588,462,908,812,797,898,186,533,845,395,511,092,092,864,931,970,
522,612,850,260,100,215,055,999,019,219,163,428,590,109,376,075,964,139,101,
561,701,479,038,144,344,438,265,636,685,499,776,064,212,542,967,406,964,086,
641,411,718,155,776,230,213,248,896,017,657,909,191,081,935,845,385,765,717,
368,540,722,567,521,572,007,564,902,034,434,610,560,173,616,336,037,364,869,
709,735,062,597,376,931,210,959,941,609,352,581,417,406,139,995,578,619,895,
787,902,329,958,619,481,976,083,233,266,246,008,624,641,081,664,007,788,191,
112,837,073,105,912,752,200,254,082,937,283,615,986,250,788,001,275,743,684,
559,924,650,350,891,802,332,780,089,553,795,516,611,935,004,625,845,107,620,
180,534,519,084,585,396,433,545,929,154,900,265,232,166,680,268,204,523,761,
631,245,822,569,238,067,224,287,066,440,038,163,924,971,998,205,502,229,563,
067,114,742,990,244,575,968,187,075,429,616,434,274,964,913,123,993,323,481,
959,887,420,137,912,797,629,782,858,985,513,082,734,259,775,757,321,925,165,
206,139,340,789,810,104,892,776,643,339,136,146,509,357,162,305,720,584,905,
559,443,525,976,830,736,522,879,283,219,080,975,182,997,419,816,721,411,468,
377,861,042,373,266,211,941,150,839,560,067,498,318,175,819,830,338,143,710,
378,333,885,281,143,380,131,870,792,197,034,249,915,636,338,967,444,380,520,
918,261,627,963,523,826,860,529,465,245,198,516,739,083,505,556,221,351,575,
751,286,625,507,842,911,814,716,909,787,850,324,924,871,518,607,168,189,172,
600,378,528,521,410,678,998,180,251,370,525,654,081,590,015,587,244,608,719,
726,332,881,969,786,992,588,018,129,608,436,138,120,010,784,992,281,728,391,
763,103,629,713,755,603,620,396,839,754,310,498,514,209,186,968,571,687,044,
645,508,356,770,052,269,974,481,759,610,458,088,856,957,291,016,086,313,886,
766,164,030,012,830,203,604,658,610,660,976,251,202,249,923,058,680,532,152,
679,865,158,476,916,561,048,054,991,965,348,586,257,250,913,703,172,556,133,
696,907,952,307,193,338,850,799,742,412,885,424,454,803,369,864,882,639,091,
550,832,566,384,805,831,994,071,236,578,493,090,943,813,753,807,405,243,033,
346,150,164,128,392,655,090,580,872,265,966,372,698,604,043,538,224,277,830,
609,695,276,018,719,509,883,760,926,096,781,279,178,527,307,237,806,440,563,
302,971,817,082,760,157,232,455,095,591,262,909,766,956,872,889,817,083,069,
205,333,913,739,058,857,415,480,661,249,238,569,403,473,046,999,493,140,445,
082,516,524,973,622,814,079,428,608,141,021,699,031,429,428,154,738,541,686,
869,878,630,438,297,222,395,642,885,803,741,336,091,005,440,312,265,125,752,
377,781,710,690,322,132,728,205,993,791,859,844,093,639,278,894,651,859,212,
006,778,555,628,340,083,024,395,552,733,591,959,898,852,101,167,695,515,240,
386,331,387,010,235,012,323,300,029,675,944,940,510,426,519,170,275,291,185,
281,005,541,467,906,850,287,686,245,498,160,030,504,159,010,906,974,939,756,
283,566,279,759,305,723,630,192,737,264,640,011,936,171,980,539,221,612,076,
375,972,488,075,245,011,438,611,769,142,360,085,844,204,571,882,722,357,167,
694,472,116,868,292,828,988,261,091,160,925,370,031,186,140,383,728,455,715,
956,257,533,289,731,364,502,020,889,807,816,902,852,069,381,029,923,453,915,
763,607,343,549,157,207,576,611,590,374,143,704,049,599,256,281,742,424,714,
590,774,374,104,152,435,896,800,014,597,449,054,936,759,875,572,933,928,606,
354,890,861,187,974,959,804,169,594,383,301,860,408,803,059,504,238,877,181,
988,007,700,853,014,674,109,319,213,215,282,535,120,104,858,649,582,280,563,
454,769,753,702,657,762,133,988,735,478,805,724,940,066,488,536,605,108,705,
703,743,177,510,277,797,013,425,795,582,200,520,071,589,159,774,535,863,726,
097,362,804,105,121,195,062,253,247,430,560,544,543,584,210,204,640,131,663,
558,640,717,003,254,533,221,672,205,174,173,149,368,121,952,843,755,920,966,
571,784,342,762,954,431,278,924,538,547,893,336,931,450,072,203,741,985,117,
710,290,279,013,250,881,917,696,543,584,390,996,710,797,879,305,983,947,721,
637,812,764,496,656,592,324,770,053,568,244,870,374,836,831,616,827,051,685,
420,207,612,989,193,436,956,613,822,346,014,469,785,749,537,252,105,745,256,
847,936,788,590,606,055,973,738,450,472,122,086,722,840,719,047,003,908,398,
439,007,126,606,691,081,351,242,971,534,038,370,940,955,994,279,214,861,540,
059,259,327,501,153,776,123,764,884,637,377,708,034,081,610,742,787,000,520,
196,649,523,476,671,664,522,351,301,034,153,257,731,346,141,714,614,891,787,
045,965,467,759,208,238,764,695,837,469,337,172,358,475,675,334,337,706,947,
401,824,270,278,027,272,344,762,211,995,999,165,730,271,796,476,426,253,290,
595,015,471,448,834,843,599,770,203,781,663,381,581,451,229,103,684,432,092,
698,582,865,564,310,204,812,065,481,510,927,996,962,926,264,231,041,452,650,
701,167,082,298,061,766,938,594,084,162,150,563,930,164,548,110,148,166,751,
845,909,010,939,487,192,693,695,591,860,184,621,108,805,560,889,076,924,674,
086,303,543,818,943,757,891,820,346,694,885,041,633,269,616,634,104,368,450,
589,818,839,996,934,413,193,683,338,080,211,990,412,539,955,025,089,198,305,
294,080,505,616,212,660,777,810,536,003,074,155,214,333,220,705,414,722,696,
137,756,996,070,376,729,457,956,266,032,052,682,499,630,473,974,126,966,759,
288,480,790,216,273,991,328,669,705,410,774,060,656,736,983,532,087,480,145,
171,748,862,165,259,571,867,048,504,658,744,113,078,705,572,654,605,758,383,
940,771,618,234,210,827,401,061,059,630,351,582,069,234,269,678,174,451,642,
594,395,719,822,964,642,720,377,550,751,390,960,436,334,018,138,306,042,389,
416,496,243,641,824,664,598,623,831,739,753,844,740,587,072,489,656,839,044,
543,875,572,268,639,115,084,033,352,378,035,728,090,733,785,761,221,200,328,
806,083,972,753,680,678,958,714,936,675,863,624,227,394,866,834,925,931,617,
307,054,016,425,389,461,951,353,353,327,623,258,680,055,612,405,507,457,060,
537,680,005,047,847,125,831,961,259,505,586,155,164,653,558,707,221,731,613,
863,852,515,288,241,492,409,823,985,681,701,177,030,381,308,219,535,226,063,
517,683,730,446,670,602,609,176,307,232,709,238,338,727,739,371,669,569,403,
874,697,799,045,867,696,101,799,212,133,148,316,331,787,775,122,012,991,485,
076,748,786,851,872,421,639,346,240,781,840,178,214,089,921,317,605,825,971,
466,123,724,754,470,592,591,408,513,038,607,416,867,857,092,425,684,855,592,
711,906,293,014,444,280,555,317,706,904,813,590,062,670,790,147,464,638,628,
814,132,198,906,973,130,693,157,046,179,348,256,900,621,046,827,065,196,032,
303,792,646,198,726,060,098,955,476,155,923,293,010,272,573,350,906,526,070,
773,861,457,070,286,988,921,736,788,302,679,200,404,445,659,011,811,128,758,
160,610,127,013,313,553,798,765,488,523,055,811,527,459,186,549,639,816,997,
941,231,110,715,520,326,816,439,164,092,913,088,699,776,623,081,414,095,984,
280,733,556,354,244,750,674,641,130,063,403,428,761,816,677,341,314,764,807,
171,675,428,775,140,152,040,892,241,013,776,871,948,227,386,832,104,147,884,
534,930,264,642,152,847,527,763,615,441,590,084,982,121,227,781,140,822,873,
168,170,464,816,330,171,080,662,053,941,348,776,013,751,662,231,403,493,503,
122,979,095,925,900,954,399,079,081,989,418,727,218,021,776,316,648,140,066,
249,762,407,028,806,174,769,501,487,660,319,631,737,073,079,685,762,912,716,
478,640,987,237,594,341,391,664,194,899,217,275,987,189,992,990,865,669,218,
759,287,999,622,532,956,202,066,521,779,660,138,115,976,055,564,966,032,065,
280,380,276,193,000,431,700,550,236,964,133,953,244,922,797,924,001,938,612,
061,477,803,315,943,343,518,381,670,121,533,888,267,657,141,002,302,551,274,
886,197,942,532,475,405,744,760,819,009,034,384,451,909,092,548,413,471,912,
245,304,590,543,663,910,508,978,306,454,505,431,705,657,432,620,307,485,768,
758,090,692,342,338,609,732,341,900,639,548,887,201,137,987,102,430,504,241,
649,159,158,751,721,960,289,003,718,549,180,348,956,837,102,924,573,711,505,
606,139,993,698,325,265,882,557,322,182,196,178,036,160,277,870,017,947,881,
716,447,585,435,250,926,256,102,536,720,068,231,181,489,510,548,900,021,457,
747,038,977,624,877,074,882,060,899,592,672,540,356,279,304,284,187,621,668,
205,057,377,563,232,239,566,772,285,914,500,520,109,448,544,965,672,445,233,
405,284,589,459,605,592,177,966,353,609,554,732,274,308,841,893,393,202,769,
593,101,366,708,395,062,999,907,326,873,943,809,698,244,349,968,237,461,872,
449,281,322,961,142,998,868,126,791,340,770,412,606,869,397,287,401,689,453,
024,305,079,623,567,733,214,020,998,930,762,856,778,866,068,102,905,525,220,
853,604,925,744,158,268,161,731,715,277,672,779,629,722,149,076,092,695,624,
184,037,167,790,436,612,501,780,138,651,719,594,194,638,054,159,149,075,561,
595,222,536,913,734,696,692,308,980,485,608,639,307,828,405,387,411,782,881,
122,921,259,489,806,460,373,707,369,090,152,913,659,481,009,983,964,883,074,
699,779,741,237,572,386,765,855,381,265,153,533,992,078,914,297,818,993,956,
291,148,277,953,016,551,933,169,555,095,630,525,911,249,985,879,888,019,519,
259,024,834,213,075,934,179,400,434,345,961,709,173,887,083,053,000,618,685,
966,452,235,252,330,498,291,646,664,480,047,025,503,501,523,398,545,825,354,
896,013,199,242,851,324,188,726,998,283,667,177,731,958,660,420,399,724,100,
396,806,443,561,720,633,225,425,822,292,782,751,337,119,791,013,186,537,680,
798,067,565,309,931,060,427,162,265,446,088,713,229,425,103,611,541,107,179,
928,729,785,050,889,301,557,468,729,742,698,169,861,417,173,505,235,911,844,
767,944,152,628,856,616,278,951,089,032,159,222,303,578,245,689,841,523,555,
046,928,696,833,500,735,261,812,907,503,800,808,722,565,729,393,796,356,803,
050,551,766,983,400,836,511,681,020,157,173,046,581,255,067,514,320,151,579,
496,243,405,685,197,915,767,183,645,795,879,943,834,865,371,542,961,961,570,
656,068,115,954,919,185,679,523,890,464,547,897,856,378,914,014,541,685,078,
754,375,189,298,272,931,764,018,394,333,410,559,887,549,386,112,733,069,734,
672,581,058,088,862,056,266,608,765,150,693,663,912,415,646,850,166,052,852,
045,029,247,577,153,902,610,100,149,845,441,953,669,851,813,519,898,509,754,
595,128,160,539,144,916,649,145,385,765,284,836,197,388,965,879,312,726,739,
156,108,736,395,171,877,707,420,143,253,208,879,726,173,186,093,077,823,384,
605,290,891,804,747,945,653,995,994,687,975,993,866,221,186,542,771,982,288,
010,994,628,107,396,866,759,642,104,511,802,408,938,065,598,064,644,185,201,
354,008,284,716,954,821,096,975,914,800,715,785,343,535,081,495,273,303,141,
846,818,699,413,679,316,362,331,110,738,553,279,513,280,802,561,850,236,265,
237,640,804,880,625,947,486,466,702,728,294,650,283,399,502,904,328,737,266,
384,956,895,905,242,576,389,616,439,903,439,606,036,109,498,652,683,837,298,
021,501,264,296,528,787,613,064,186,741,712,385,993,232,519,083,897,864,747,
937,262,273,231,014,138,876,002,636,836,993,957,924,593,714,576,968,797,851,
388,094,451,540,982,196,883,611,664,137,565,630,447,594,026,105,434,512,757,
038,493,631,295,886,766,026,031,856,503,775,411,117,274,125,476,242,317,316,
842,745,072,404,358,392,013,459,745,557,306,524,069,950,770,318,109,833,080,
889,422,040,727,593,044,259,677,210,215,441,055,510,582,719,828,091,373,094,
341,209,115,780,488,761,154,903,726,054,793,006,589,962,954,402,034,693,609,
508,229,856,608,028,504,165,552,334,579,212,601,363,845,007,618,020,845,133,
986,068,224,428,343,890,559,874,071,775,792,353,533,134,661,046,430,392,099,
079,944,020,960,989,384,862,266,033,237,209,332,869,981,102,739,298,254,569,
027,263,740,851,953,415,601,253,965,868,142,855,161,358,846,827,658,145,689,
471,541,494,684,470,224,380,331,637,667,123,741,314,890,547,069,906,043,637,
015,999,471,434,903,852,228,203,971,715,360,469,051,699,744,890,252,329,253,
378,339,707,911,934,711,668,289,363,779,577,595,073,543,951,301,464,906,059,
959,740,411,647,950,751,729,532,374,291,901,570,017,901,040,659,367,672,033,
434,200,468,175,994,307,866,400,545,239,690,571,995,104,926,479,621,400,392,
795,204,924,096,985,750,988,280,334,110,842,553,311,229,394,494,990,467,379,
241,712,595,186,116,279,107,738,847,663,545,985,137,432,455,282,623,494,104,
107,065,914,955,973,544,102,385,023,046,866,320,126,728,430,733,340,179,354,
578,180,939,016,210,495,376,222,421,984,961,696,174,025,435,192,008,124,892,
281,875,723,225,422,384,181,247,408,789,297,221,701,651,750,077,883,412,017,
708,592,683,490,856,633,348,542,054,056,268,799,835,321,532,098,660,625,202,
499,428,398,121,900,373,651,164,062,706,411,502,365,895,075,623,399,274,357,
421,225,629,004,502,987,768,429,066,922,384,460,848,527,769,478,080,177,754,
084,786,528,607,943,344,139,032,914,973,626,536,932,433,089,273,455,948,751,
062,903,930,925,722,174,775,373,905,851,479,178,313,672,052,983,080,950,890,
634,100,190,730,826,822,746,653,225,894,433,883,505,512,230,253,306,617,081,
754,015,589,202,860,782,459,737,114,817,805,582,550,556,040,345,057,673,150,
643,068,247,213,682,232,674,149,570,096,657,893,187,837,201,384,785,485,165,
323,806,310,172,905,459,415,366,997,346,722,733,173,329,765,695,884,781,468,
009,923,907,806,978,864,519,889,157,359,157,694,841,875,474,653,572,733,763,
283,522,009,887,627,203,118,818,951,104,278,309,181,563,803,087,932,727,327,
422,350,618,546,576,659,216,333,034,681,143,065,914,228,510,801,434,866,553,
920,275,603,673,572,061,219,690,531,301,735,275,692,837,100,031,152,695,944,
050,530,899,878,793,265,739,543,416,647,681,439,598,888,074,632,434,950,233,
909,232,375,073,791,952,474,167,969,040,815,640,788,543,252,303,096,874,241,
748,161,759,035,548,017,748,233,983,967,546,043,430,894,934,354,290,976,722,
968,184,747,473,798,653,296,255,129,976,392,151,232,874,186,239,778,791,423,
040,436,482,227,803,132,659,609,413,247,818,713,498,790,208,619,176,478,425,
342,126,294,578,880,040,500,697,920,927,405,346,118,325,684,161,553,744,250,
362,538,253,543,807,068,255,312,559,435,912,344,326,688,666,597,440,251,408,
692,140,744,424,838,756,724,825,656,288,740,802,077,015,256,143,112,243,821,
958,014,179,469,799,539,120,437,564,484,278,730,021,745,483,826,541,094,168,
318,026,716,866,835,528,385,774,386,464,640,665,928,444,945,610,614,135,898,
796,502,145,951,160,175,064,465,770,763,209,822,728,221,614,896,132,237,331,
553,338,899,103,449,002,577,427,177,881,520,653,174,287,732,700,942,261,048,
252,760,679,937,820,833,635,975,617,508,650,368,058,733,397,377,980,344,010,
946,462,181,492,098,721,013,882,345,316,299,300,157,802,085,223,289,585,423,
608,714,328,058,632,597,025,819,190,287,187,672,385,047,792,958,356,990,971,
512,789,539,537,539,403,434,078,568,174,085,660,889,014,629,408,585,474,764,
022,232,199,444,006,993,823,802,905,178,747,214,094,897,054,380,561,625,865,
932,251,695,401,879,983,399,532,776,956,767,469,883,650,173,539,518,418,215,
838,146,610,248,287,259,743,773,805,551,636,338,653,394,018,004,286,258,087,
083,268,171,110,329,923,769,861,260,440,905,492,843,556,550,902,450,128,476,
885,860,371,693,221,422,073,542,380,723,284,353,421,032,723,037,193,269,999,
925,519,744,771,502,238,220,354,147,558,867,730,269,747,822,597,485,052,335,
534,247,579,418,005,383,903,850,926,063,950,034,092,611,785,798,711,536,305,
243,281,524,864,038,174,284,819,588,421,661,235,962,964,335,675,639,426,306,
891,784,905,246,210,037,280,026,194,007,654,559,614,613,270,819,871,101,990,
101,109,329,926,675,136,737,265,805,767,160,437,326,346,448,055,027,713,913,
350,391,416,991,919,171,745,798,019,174,596,761,994,125,487,331,951,416,434,
745,405,618,131,463,290,293,751,418,990,171,653,742,111,163,932,411,159,625,
674,667,761,239,297,447,026,889,963,143,782,133,600,690,455,016,259,026,597,
786,591,697,348,964,292,362,783,731,674,728,472,722,433,491,489,053,181,928,
328,471,636,387,513,945,020,354,617,994,896,937,445,640,715,771,428,701,221,
919,763,481,701,878,451,101,132,551,714,048,149,974,353,076,927,711,586,587,
617,684,821,910,103,310,398,592,024,588,391,610,936,986,649,064,975,764,747,
727,546,613,116,848,570,416,984,742,236,138,436,166,287,004,054,982,502,554,
382,473,640,975,898,152,604,055,260,843,321,941,512,332,317,948,975,770,640,
293,509,492,779,696,709,745,859,552,210,489,566,752,443,932,963,787,184,011,
949,300,861,217,860,262,280,911,417,030,010,343,326,322,451,031,418,864,627,
040,914,938,067,292,193,889,828,728,131,591,476,370,386,432,269,696,803,491,
303,163,100,633,288,928,903,390,806,327,757,859,461,037,425,578,540,559,233,
359,366,762,627,668,525,448,086,652,980,067,149,803,131,019,336,940,678,716,
537,756,743,225,021,560,135,348,007,743,295,375,377,455,792,323,515,599,146,
059,004,141,321,431,808,879,013,873,518,973,779,228,523,104,321,866,463,387,
994,767,016,851,005,843,539,630,533,833,483,947,474,869,021,032,298,282,952,
170,296,270,024,698,854,251,167,625,445,594,064,717,619,489,894,578,746,141,
827,482,776,578,092,180,183,097,163,944,720,517,134,577,994,245,717,138,832,
197,756,331,325,430,037,424,883,297,781,022,635,949,007,098,043,293,602,481,
168,603,897,716,657,409,104,586,783,542,218,539,208,437,559,292,343,296,718,
944,769,076,774,991,123,358,686,902,494,160,062,651,487,990,308,848,464,519,
057,742,557,032,395,303,089,478,497,373,686,988,104,067,441,084,018,170,814,
295,606,898,559,497,518,546,763,942,540,407,045,485,776,499,043,545,646,397,
714,045,916,032,727,698,430,374,051,058,292,980,448,455,986,601,372,213,104,
380,740,791,722,644,179,117,249,395,961,302,508,699,416,663,279,660,624,262,
085,807,339,161,949,013,061,114,976,326,564,885,688,341,574,687,176,153,581,
599,767,790,047,503,889,459,548,404,607,784,342,961,311,840,583,807,407,022,
745,962,202,443,002,156,226,915,926,815,754,699,932,758,952,593,120,696,053,
798,598,402,341,381,089,612,072,477,611,765,584,760,764,598,883,407,381,016,
784,774,199,841,449,825,797,941,261,691,042,869,468,194,725,585,983,025,961,
804,554,075,510,603,057,632,225,715,353,110,527,425,448,967,848,655,593,592,
673,640,206,461,288,362,271,998,467,333,579,092,614,208,818,867,749,734,031,
066,503,416,890,869,299,132,909,192,883,350,032,739,214,347,566,160,055,106,
021,163,168,349,113,157,233,912,328,530,332,090,291,008,080,222,236,958,944,
031,265,260,285,018,107,980,969,984,421,504,454,203,640,464,451,910,536,745,
390,347,466,044,054,209,531,674,204,767,786,554,679,189,270,040,187,060,195,
666,910,250,365,332,657,988,548,491,974,332,161,691,337,131,081,494,383,194,
941,756,109,942,553,637,105,867,027,346,290,649,266,109,413,858,067,797,340,
543,124,044,079,052,209,295,713,970,987,760,780,534,224,652,312,921,879,228,
845,309,237,042,270,941,753,343,914,844,806,801,057,090,941,667,532,794,349,
063,248,834,392,901,408,312,682,586,908,643,985,853,697,965,474,312,995,604,
302,159,455,397,410,940,420,759,746,394,690,105,371,644,135,003,249,936,025,
493,696,924,421,875,315,018,950,811,554,037,723,143,118,629,818,216,201,417,
997,408,075,264,906,108,671,083,285,329,542,247,229,211,465,231,228,378,289,
292,024,443,564,614,133,603,929,023,289,107,497,804,022,982,109,868,560,371,
688,548,442,583,220,539,622,956,737,238,383,782,612,338,417,991,698,610,577,
896,803,952,049,343,882,693,731,540,975,179,889,293,079,553,520,708,355,456,
988,020,333,312,793,823,459,049,061,114,355,991,992,931,771,929,283,573,305,
449,588,940,283,714,671,461,339,707,297,544,332,239,806,314,316,214,299,528,
907,591,917,644,413,779,074,309,207,851,426,168,111,366,045,478,576,108,546,
608,022,689,101,619,424,389,985,262,507,382,574,855,415,150,518,099,852,166,
927,040,609,647,751,859,213,945,762,323,231,090,627,296,996,976,977,844,633,
090,760,430,524,855,085,624,785,357,449,683,179,339,908,176,439,369,697,890,
078,910,058,384,452,291,123,930,169,398,718,648,690,879,945,981,618,941,758,
689,126,423,952,502,672,758,365,959,711,792,894,329,337,914,129,195,022,773,
195,776,861,320,910,072,180,926,440,224,784,912,983,756,579,328,571,465,054,
476,341,239,807,143,495,044,626,078,374,435,860,934,516,433,026,562,263,398,
268,045,523,191,391,101,501,588,581,534,696,932,558,759,231,596,636,045,895,
965,027,513,999,962,020,260,083,663,260,974,130,052,877,321,002,278,993,518,
979,382,846,560,967,342,882,200,528,244,556,697,143,862,677,578,503,752,999,
105,011,052,518,024,936,197,438,034,511,908,046,445,309,877,808,551,607,042,
584,466,223,060,833,818,128,447,634,176,522,228,642,294,241,507,186,250,178,
479,733,400,635,572,619,445,546,547,425,615,038,743,849,183,198,590,481,484,
162,632,725,654,735,865,655,250,780,890,633,209,962,851,746,829,755,005,144,
326,840,048,035,238,536,955,503,955,945,060,382,761,102,533,333,705,851,554,
071,289,247,768,969,399,126,011,480,413,760,072,011,447,578,472,757,597,648,
509,375,771,665,332,845,906,001,249,509,649,161,096,115,774,821,350,259,280,
590,471,788,676,225,399,362,228,580,512,687,932,032,262,775,523,270,999,220,
800,215,293,411,109,644,627,913,458,080,850,092,032,354,980,606,517,260,171,
031,519,944,780,853,159,231,526,083,718,620,938,644,551,752,569,014,661,843,
916,753,868,393,767,171,597,498,341,472,331,067,494,797,842,953,879,218,922,
576,376,977,147,928,345,883,016,259,437,269,185,168,219,197,495,872,223,039,
956,470,572,243,979,865,905,354,047,585,094,811,471,976,322,604,374,234,184,
514,460,240,392,920,009,314,581,876,528,823,879,004,094,173,167,188,845,033,
097,648,153,184,620,749,109,753,433,361,910,778,294,536,893,443,471,684,048,
183,643,718,766,387,571,512,174,396,262,048,018,120,961,756,677,839,109,818,
579,075,006,100,342,510,471,130,142,809,310,554,354,035,038,594,182,448,667,
698,153,846,697,969,699,116,304,567,079,384,449,430,680,762,985,914,604,431,
370,464,581,322,372,991,211,839,331,481,408,813,679,117,237,109,471,202,017,
962,810,195,409,987,711,924,687,479,391,518,427,829,921,000,004,256,090,623,
511,284,747,675,494,065,941,719,980,232,496,217,320,354,649,927,911,316,880,
306,857,071,500,493,019,724,919,650,705,958,414,582,861,652,308,222,774,419,
244,697,402,673,601,802,022,993,655,197,707,929,183,893,980,044,906,369,114,
404,360,013,560,902,447,911,283,702,647,821,928,869,667,280,301,351,996,177,
725,127,529,887,151,737,703,846,063,737,880,982,711,136,780,278,032,729,132,
392,293,541,087,752,875,398,849,699,222,290,334,121,567,699,347,818,624,960,
787,755,781,558,592,624,893,527,678,408,121,746,070,232,497,985,401,700,385,
665,774,300,211,081,681,965,067,326,896,782,164,223,843,012,368,606,791,095,
813,239,702,773,072,663,501,051,490,100,023,228,749,202,139,052,236,856,463,
337,416,003,428,351,580,437,826,706,893,940,516,431,200,492,976,687,285,237,
614,008,753,355,534,657,709,898,188,315,645,240,400,805,718,542,914,522,175,
700,478,334,451,582,159,952,292,075,144,865,761,670,617,467,893,821,161,335,
179,491,012,456,385,930,502,109,468,734,516,785,315,922,472,666,460,798,116,
264,728,502,727,049,424,613,710,443,044,389,958,677,209,781,611,205,627,827,
272,656,975,243,979,855,646,605,020,620,407,852,486,142,333,294,224,422,167,
842,625,037,217,781,375,018,237,793,296,069,295,687,099,588,435,659,144,239,
967,988,723,460,429,051,893,647,415,512,560,180,254,174,175,892,735,833,890,
538,352,135,263,189,092,767,863,019,857,248,612,399,583,227,892,710,507,347,
350,392,797,114,170,919,109,878,813,055,138,591,693,212,551,623,669,749,142,
258,914,364,528,855,941,421,191,478,748,194,631,277,468,453,992,680,329,003,
479,355,003,044,618,456,121,944,877,449,255,227,931,558,508,464,256,934,256,
608,229,688,012,112,605,655,304,857,956,483,328,075,279,992,441,264,331,723,
930,998,908,746,879,620,496,788,911,320,872,334,542,271,289,423,444,678,371,
754,913,779,393,125,877,082,165,627,369,963,577,077,244,896,588,338,112,272,
440,852,546,088,328,365,250,706,508,964,719,492,247,360,027,621,795,668,119,
716,615,509,539,174,436,499,435,163,492,105,068,229,968,846,197,057,380,382,
009,275,004,057,752,143,725,998,038,478,027,304,447,259,123,761,717,881,704,
957,224,883,595,269,137,106,216,982,097,996,625,642,750,681,495,343,305,603,
082,377,963,783,472,313,023,489,049,321,428,536,274,917,893,085,667,869,916,
378,732,691,502,700,008,999,607,269,529,895,320,439,208,346,134,995,536,261,
873,169,437,954,058,827,781,490,620,428,870,349,071,082,925,612,733,766,211,
270,926,811,107,749,384,222,138,707,728,475,748,283,067,179,017,414,013,988,
101,574,200,854,712,453,336,761,806,704,488,079,784,762,905,652,766,076,840,
748,425,135,788,094,632,212,562,993,542,237,239,837,223,476,740,391,390,253,
913,181,441,267,239,666,578,257,057,679,448,930,089,054,098,693,963,311,611,
086,163,424,312,761,547,222,744,713,011,242,600,127,729,979,956,731,407,252,
544,164,130,290,216,420,448,258,130,428,485,815,125,109,455,956,355,114,370,
351,158,052,209,319,511,645,677,971,153,679,499,679,689,914,863,703,367,023,
527,034,010,473,086,131,685,764,769,653,897,925,619,855,755,281,213,758,312,
982,319,100,718,223,852,694,537,826,885,862,246,130,408,696,015,847,625,868,
315,122,440,955,267,898,395,392,665,661,228,723,278,054,597,175,382,096,898,
800,787,375,129,774,576,431,516,071,101,450,324,074,466,637,788,427,618,226,
828,553,851,392,592,588,021,887,483,012,422,512,100,048,945,358,417,415,657,
625,743,780,787,621,239,983,037,478,391,808,716,351,488,629,599,624,595,888,
541,602,321,574,048,782,929,961,402,266,504,688,151,139,557,056,694,112,483,
115,082,194,908,023,720,387,249,695,196,085,415,613,408,994,732,451,059,846,
497,744,129,082,226,975,298,468,342,571,421,015,896,927,461,349,602,494,277,
132,953,013,469,864,654,618,823,373,462,923,298,226,971,042,190,246,301,659,
648,358,900,238,865,500,362,819,885,175,874,075,186,928,796,939,176,766,015,
835,957,813,161,960,913,692,458,406,884,185,225,180,015,598,983,059,816,751,
711,634,372,918,727,861,154,941,443,290,743,419,131,533,365,189,045,762,985,
720,110,907,935,687,804,858,483,217,502,622,582,371,934,041,574,904,715,303,
542,253,971,690,219,125,286,959,808,696,888,738,351,858,315,446,295,532,718,
818,577,307,912,169,717,221,363,327,803,373,312,957,659,137,513,292,738,785,
635,084,196,841,948,388,929,665,682,689,400,330,572,305,999,692,482,044,013,
857,208,803,205,741,350,814,921,083,210,742,384,638,028,736,938,743,815,971,
818,490,903,951,055,273,640,349,250,714,380,002,918,603,453,367,414,521,490,
297,188,927,271,899,487,299,647,941,138,186,560,672,927,242,923,023,246,925,
856,363,864,403,689,048,222,357,777,860,596,192,537,610,281,242,259,355,454,
994,360,896,075,851,538,163,836,357,972,013,128,113,376,263,712,428,215,025,
567,821,778,497,351,299,717,894,102,737,286,938,519,799,051,227,876,881,958,
119,543,855,190,385,404,912,061,306,901,499,646,061,869,145,190,001,683,206,
384,288,742,826,178,623,195,369,760,728,771,994,718,758,202,800,503,229,495,
952,553,974,854,118,093,729,204,469,456,200,673,633,038,187,134,351,263,727,
934,898,046,259,517,941,300,205,676,345,171,146,794,042,527,627,283,012,947,
957,237,906,039,005,001,974,093,449,682,614,528,738,293,803,560,242,214,764,
192,386,039,659,860,186,781,274,924,861,275,754,867,650,643,686,003,565,057,
422,658,644,418,234,489,493,383,967,968,407,001,036,969,871,493,194,559,152,
406,905,563,832,822,656,788,796,535,147,694,315,779,111,258,626,813,191,486,
076,154,346,146,542,938,049,127,831,357,882,664,857,604,744,421,061,077,099,
297,453,754,108,805,748,270,118,944,044,863,975,881,408,607,132,076,842,658,
216,154,791,846,285,368,862,267,635,151,038,988,151,176,203,873,342,455,738,
432,582,859,065,689,869,275,305,735,358,489,275,129,955,012,125,228,438,583,
263,086,835,268,173,408,926,082,292,326,022,244,670,350,922,355,904,031,895,
998,906,965,510,485,099,406,057,525,799,725,840,477,183,748,849,546,891,876,
866,850,182,331,235,297,835,945,424,598,252,174,540,441,210,167,319,459,061,
406,166,181,555,792,096,290,942,317,763,003,847,398,583,608,271,837,171,750,
702,098,669,825,216,832,917,088,676,755,895,511,119,290,216,352,687,217,483,
703,596,751,417,726,728,727,303,787,149,831,718,534,883,599,049,912,917,182,
996,008,505,207,539,823,485,512,653,433,580,543,885,168,792,272,733,106,102,
306,365,423,301,659,282,953,130,858,902,458,517,689,458,678,562,111,405,749,
536,169,494,669,753,004,010,570,051,276,871,510,669,520,903,466,453,911,379,
599,842,479,240,470,971,575,152,087,351,170,779,359,183,863,693,924,995,813,
091,172,172,550,399,063,341,874,990,689,214,201,157,310,805,617,466,176,634,
198,411,538,384,114,307,853,319,509,895,143,671,803,431,469,425,070,587,394,
503,121,093,800,757,051,238,974,310,280,144,753,302,937,443,156,543,902,529,
803,460,152,362,669,797,928,974,180,619,397,006,363,452,817,187,483,467,859,
747,623,453,138,535,172,202,306,093,143,033,290,473,510,121,586,378,470,418,
946,866,916,876,035,758,529,550,372,028,365,427,566,405,433,744,699,762,012,
408,728,417,093,409,474,482,516,987,601,058,690,608,746,294,813,844,645,557,
071,056,234,114,477,337,787,332,485,187,355,450,329,852,347,533,689,210,689,
389,328,344,792,812,942,297,699,540,713,092,586,375,233,447,079,866,830,282,
643,128,114,971,401,088,852,668,000,902,660,302,279,372,107,817,643,716,330,
583,032,339,038,970,417,090,366,368,486,739,708,334,224,890,278,080,470,161,
116,638,444,909,921,337,544,391,627,425,550,188,759,169,391,871,941,182,045,
106,751,865,503,077,650,010,000,425,296,861,898,468,171,914,959,519,136,006,
858,367,646,113,058,463,234,591,538,434,137,800,179,056,063,790,785,560,679,
388,861,830,422,428,782,942,062,508,435,136,620,872,380,597,618,969,612,880,
004,971,503,160,003,772,032,325,560,726,166,947,864,455,334,569,082,344,104,
042,291,797,033,169,982,738,998,241,108,338,240,144,836,036,393,457,031,240,
811,595,761,303,967,779,168,291,353,914,872,773,187,316,520,011,161,877,834,
520,378,806,099,762,142,869,759,255,149,495,103,377,561,855,762,287,839,141,
598,403,290,440,388,938,697,699,327,164,973,976,381,085,139,906,573,034,073,
546,641,432,003,860,857,206,485,707,162,229,893,262,886,163,530,711,076,747,
680,639,378,410,410,168,353,596,590,262,652,032,218,179,573,948,006,612,993,
988,781,461,778,592,303,065,412,944,698,552,438,579,381,902,034,515,978,291,
324,466,051,177,722,035,433,817,522,388,809,609,464,617,014,378,139,023,173,
437,588,112,484,064,721,881,413,789,252,264,362,888,213,368,668,719,247,726,
381,268,855,486,056,244,187,516,039,706,833,427,960,289,076,081,318,421,769,
668,207,036,785,258,410,735,505,566,680,360,356,796,380,940,830,976,898,486,
059,041,000,766,308,411,479,841,594,130,913,622,546,490,058,705,943,111,558,
928,111,502,419,490,472,450,261,426,266,895,689,116,231,157,445,761,514,734,
519,573,097,663,618,548,436,109,811,937,414,879,559,244,700,423,403,430,026,
743,799,837,999,561,720,278,136,745,175,821,813,760,638,250,233,117,183,598,
157,015,894,268,616,652,174,279,497,588,483,807,230,920,985,430,704,411,179,
775,155,075,270,702,094,966,815,551,849,333,270,396,062,601,515,186,597,852,
629,427,058,768,521,091,780,099,867,394,067,730,603,600,732,283,591,634,067,
165,575,427,995,283,505,432,026,315,121,416,974,688,008,360,273,730,649,521,
174,931,229,474,680,168,210,102,643,350,178,894,238,372,973,617,504,459,097,
523,114,328,742,868,599,943,678,870,453,127,596,042,948,644,892,394,746,259,
144,036,749,652,549,358,141,086,011,667,994,665,761,916,103,049,798,687,095,
708,539,491,247,592,740,638,087,546,140,234,408,757,424,290,360,315,972,916,
900,792,842,861,980,656,208,791,142,059,045,273,176,902,271,864,270,090,304,
571,117,032,203,912,278,150,377,348,128,901,944,735,777,640,337,565,423,307,
523,140,904,692,722,539,823,769,950,207,165,017,213,107,582,810,430,972,659,
762,686,936,732,654,149,934,337,201,867,059,102,837,110,422,430,804,586,198,
533,778,781,577,000,937,713,402,387,014,988,066,329,132,116,520,614,604,689,
978,164,854,371,719,883,338,936,575,591,247,177,325,147,292,561,813,793,580,
433,574,562,162,748,969,434,071,083,061,108,919,970,659,797,905,338,944,987,
929,200,399,873,617,395,083,889,917,935,465,280,724,687,675,040,826,532,265,
974,822,656,470,103,677,912,778,464,331,132,781,634,870,441,128,657,214,888,
862,294,783,781,528,035,041,414,739,441,404,828,194,241,267,204,749,836,632,
866,071,906,146,565,285,572,595,173,594,025,125,201,385,493,338,739,224,085,
464,796,368,686,352,137,999,147,875,578,377,612,794,079,471,099,573,553,789,
565,491,466,657,549,977,249,404,473,367,272,478,084,607,952,705,258,013,546,
501,718,184,933,130,202,124,463,352,546,036,331,113,742,819,687,769,576,959,
954,499,358,855,589,100,644,739,993,001,130,042,007,894,106,326,009,097,543,
948,517,007,501,332,234,385,328,505,115,761,241,955,754,888,307,621,552,041,
702,452,724,844,582,876,792,930,929,445,640,756,320,320,887,659,242,583,570,
862,183,041,636,119,709,849,717,435,748,486,531,683,669,463,496,185,176,941,
745,159,916,096,381,216,137,131,632,460,296,555,366,404,079,463,024,694,094,
956,858,728,697,134,406,895,332,102,085,101,870,456,189,580,652,509,462,639,
223,304,604,999,249,794,692,557,503,245,312,943,252,956,358,654,343,622,432,
543,471,069,359,831,269,657,844,300,375,685,734,331,443,959,054,101,113,029,
651,862,199,110,059,896,809,389,003,549,917,592,646,151,548,750,038,231,148,
228,352,511,034,886,677,870,780,853,807,882,820,935,839,711,879,178,399,427,
597,584,633,945,995,848,018,996,902,198,810,492,006,132,790,676,240,884,559,
195,896,588,697,876,031,715,705,693,901,266,488,245,441,446,170,787,759,838,
265,499,504,997,471,001,219,734,185,062,106,902,305,082,606,138,879,586,019,
845,046,145,098,252,542,969,795,350,147,421,174,564,417,171,841,388,430,666,
331,470,070,596,816,758,582,383,151,405,243,175,139,434,224,663,023,179,126,
432,290,744,515,683,537,058,918,136,011,545,258,060,475,034,422,279,507,763,
399,054,918,394,248,328,010,007,858,295,533,540,649,351,778,925,288,233,081,
055,675,893,727,986,453,719,068,162,389,186,289,974,192,622,098,427,896,672,
550,036,465,017,180,226,826,069,700,359,100,863,903,508,529,005,905,055,496,
164,873,226,031,163,856,792,697,671,017,435,063,405,711,563,062,974,643,064,
838,155,351,785,629,393,334,645,764,330,811,762,238,854,119,155,103,649,251,
069,438,804,790,008,096,294,541,251,972,013,399,221,900,154,066,824,739,744,
091,930,994,234,718,748,594,039,731,464,601,934,866,597,773,462,795,886,999,
091,297,514,442,223,788,921,996,113,477,630,774,764,002,188,261,486,465,736,
137,894,251,903,130,405,193,794,912,608,663,859,130,378,556,251,461,702,347,
358,658,446,490,633,539,224,343,901,784,533,128,759,713,915,704,772,650,072,
269,854,157,003,243,468,358,968,204,336,862,111,456,467,664,262,213,758,082,
555,262,649,004,589,544,555,965,159,392,572,923,803,384,696,968,935,195,717,
687,660,424,752,412,905,667,535,123,191,613,573,434,713,537,561,315,032,868,
325,993,045,843,100,570,371,213,985,213,616,537,658,069,184,814,095,926,003,
985,266,149,606,724,644,874,634,929,656,951,223,340,745,555,131,716,358,340,
139,616,031,090,980,769,159,824,612,085,761,837,804,257,813,498,558,571,851,
303,463,453,578,176,555,930,897,218,404,263,764,137,897,807,274,344,237,044,
407,482,980,517,045,803,716,992,533,883,394,893,139,445,953,165,928,616,307,
967,688,820,457,563,916,736,320,415,951,750,372,812,481,016,785,061,531,494,
863,633,901,070,769,085,910,136,596,118,242,687,001,649,323,825,233,368,818,
082,711,871,251,848,369,273,762,430,839,454,648,870,393,385,959,234,876,641,
771,938,892,742,405,293,420,301,732,943,502,865,590,647,683,757,384,618,426,
244,951,288,557,058,151,585,360,665,990,234,057,554,295,731,604,317,309,990,
557,512,987,045,615,981,881,269,437,324,777,966,515,990,320,692,175,345,430,
099,327,304,266,864,308,623,531,914,881,274,092,703,928,274,420,976,555,505,
146,703,373,802,493,503,406,410,034,592,666,531,359,487,612,974,261,824,958,
249,299,959,152,491,506,521,842,404,763,273,296,071,837,751,735,889,739,524,
310,286,826,861,125,505,949,037,004,032,603,401,991,003,884,122,134,267,681,
810,519,335,250,552,428,679,681,385,099,872,489,916,811,053,839,457,721,463,
057,392,917,472,232,675,633,119,867,608,354,834,533,293,805,471,148,290,146,
748,785,083,053,240,064,048,132,538,883,258,634,001,287,839,313,624,412,853,
412,856,171,425,761,613,279,692,281,614,965,590,493,001,511,754,782,617,525,
744,454,600,862,910,324,764,836,589,640,161,487,758,394,657,173,390,270,042,
629,653,754,400,967,234,914,697,344,503,145,651,009,446,387,503,784,429,638,
843,501,185,857,203,955,267,838,814,299,464,894,240,614,314,328,791,360,211,
698,096,293,136,955,898,057,882,666,020,587,610,263,975,763,969,863,004,020,
205,971,280,202,372,020,079,524,441,044,741,217,980,825,944,352,012,497,201,
021,682,790,090,471,185,158,326,799,033,927,292,544,576,891,747,184,786,910,
030,109,799,086,822,698,434,718,478,674,883,261,984,633,216,098,304,067,277,
670,199,155,122,151,440,454,395,833,665,727,524,249,925,727,559,399,855,467,
285,102,268,350,860,198,895,528,957,794,440,722,575,903,908,570,958,361,133,
634,582,150,068,610,740,586,243,377,493,366,901,821,568,134,978,960,893,871,
837,344,984,465,583,292,054,604,333,934,787,828,947,918,317,767,214,152,781,
606,462,427,188,611,478,996,394,891,462,625,199,021,696,366,258,984,848,311,
330,399,107,698,928,534,582,252,798,083,232,191,304,257,200,461,903,818,549,
877,382,333,869,246,842,511,391,708,391,750,322,548,222,695,899,609,145,747,
971,561,506,443,526,027,156,467,495,415,558,158,646,561,668,217,691,367,735,
864,493,158,292,049,096,796,633,066,492,016,258,104,428,950,877,381,565,021,
761,153,864,063,418,286,061,176,524,352,250,811,806,098,287,621,659,062,173,
656,964,846,759,371,659,431,250,812,783,723,654,336,323,192,126,013,912,193,
179,491,124,516,312,432,965,858,479,503,459,173,572,800,514,638,953,615,144,
967,769,491,547,566,870,733,596,807,761,426,268,761,203,342,250,197,259,068,
197,755,870,117,790,637,222,716,085,228,340,729,007,843,267,212,285,789,318,
573,559,142,322,296,448,970,937,647,672,875,693,810,465,846,580,849,851,957,
245,072,239,989,854,142,380,249,271,216,913,320,018,736,281,718,876,613,065,
306,515,682,892,965,399,253,308,331,687,059,554,602,652,845,691,301,230,122,
862,548,668,625,113,360,763,595,437,409,876,542,193,174,189,328,191,732,254,
778,462,499,433,508,558,261,970,627,474,477,921,754,029,655,871,382,915,517,
557,715,345,936,523,011,604,612,083,346,619,268,589,435,336,652,232,009,298,
053,280,270,553,178,221,778,849,861,750,767,547,176,168,123,673,384,821,442,
845,463,058,459,904,757,610,571,459,874,740,536,226,178,683,597,594,501,604,
754,139,251,368,130,919,580,563,726,870,221,396,080,152,584,623,446,694,877,
694,664,084,266,504,955,812,116,097,153,685,601,428,370,639,383,205,683,809,
377,288,455,197,773,533,824,390,069,194,197,180,481,939,763,776,304,512,043,
598,134,731,170,508,258,342,217,758,188,015,809,567,097,228,552,783,236,324,
987,289,157,598,534,483,326,779,568,265,320,034,485,930,571,659,682,588,457,
693,269,344,843,926,346,147,575,223,689,886,835,704,606,554,749,110,560,031,
396,730,497,202,632,831,495,064,163,669,035,577,319,461,460,250,343,612,386,
122,400,430,370,094,652,024,375,583,103,469,857,363,373,907,551,213,737,747,
033,673,160,146,227,834,803,179,000,019,870,624,412,600,696,121,947,265,632,
294,737,960,689,621,972,877,593,477,744,825,848,870,304,757,187,046,484,775,
525,102,630,558,500,941,625,323,833,484,157,940,382,749,924,819,903,365,428,
065,701,039,174,488,499,976,095,569,633,477,997,316,288,214,085,659,117,462,
402,954,543,842,498,842,040,947,964,861,862,460,918,943,996,641,773,201,620,
989,450,394,294,925,297,966,833,007,126,401,398,137,712,588,513,529,716,355,
363,838,349,469,067,323,105,167,443,624,972,121,823,845,515,874,100,743,569,
200,087,489,035,304,217,236,185,994,651,637,562,896,350,854,917,653,053,266,
518,447,604,149,806,033,484,172,968,718,588,485,541,733,077,789,869,491,464,
757,714,891,826,816,331,267,777,503,931,538,524,576,530,269,256,012,450,554,
546,047,496,464,032,522,566,272,126,796,463,847,124,258,875,245,886,495,619,
271,506,845,326,101,758,197,581,671,694,148,635,473,815,339,731,307,571,895,
483,595,782,703,406,511,094,105,060,440,841,916,387,300,917,394,432,039,044,
966,466,002,268,089,340,298,507,966,992,446,470,868,569,553,016,865,155,450,
296,923,924,105,294,050,258,988,283,792,173,995,849,136,076,960,915,580,645,
337,835,208,099,993,308,332,089,660,456,374,437,564,535,448,652,451,121,830,
808,225,527,038,594,739,634,236,419,955,593,779,662,698,895,941,736,857,046,
657,689,800,903,850,563,319,430,432,446,389,046,443,728,293,082,313,963,197,
664,348,517,163,002,802,066,845,070,827,003,219,545,835,411,452,388,540,742,
984,981,344,936,082,561,461,180,921,584,705,689,008,637,625,408,800,227,259,
749,514,051,530,525,584,585,384,837,564,026,667,040,484,956,740,834,437,540,
796,374,839,169,141,129,612,991,727,583,088,962,686,234,263,838,222,644,942,
023,463,350,114,047,969,666,590,352,287,489,896,598,839,201,036,873,074,836,
685,020,562,836,099,232,409,125,528,162,134,745,204,182,186,337,587,870,057,
773,504,802,189,899,528,899,688,835,499,565,507,683,076,596,705,476,549,578,
104,995,558,729,243,592,967,304,517,647,605,030,439,691,987,944,959,585,675,
992,208,784,895,060,092,599,362,125,314,719,353,195,620,734,090,074,090,795,
381,729,616,459,592,687,361,678,593,132,979,690,010,078,453,818,416,391,655,
810,436,795,447,721,780,266,672,413,189,276,663,613,232,128,203,702,638,228,
004,057,830,414,339,407,849,345,188,088,667,816,918,984,485,106,902,056,179,
983,698,367,045,233,063,482,185,931,933,192,835,329,394,114,523,893,646,545,
706,528,049,280,357,319,157,219,596,382,620,268,213,536,191,214,937,494,009,
922,996,431,354,538,038,700,652,255,824,116,090,055,393,395,458,405,761,123,
237,602,473,663,637,240,501,138,806,188,436,509,811,583,494,777,921,095,023,
603,463,093,360,076,554,727,879,638,969,628,485,238,071,949,571,624,541,271,
755,756,369,829,062,970,128,615,766,476,059,073,625,701,612,286,566,361,694,
759,640,077,117,876,952,631,798,829,531,707,229,980,738,294,285,380,201,376,
085,591,393,106,036,671,518,513,365,567,923,755,642,304,730,319,837,797,091,
398,305,565,247,156,718,905,325,770,217,582,932,020,504,309,177,931,061,096,
247,477,319,582,418,600,724,792,998,652,593,732,272,607,997,827,336,202,306,
306,997,694,077,777,690,575,575,396,532,588,560,225,870,194,095,981,730,963,
525,346,483,354,619,211,521,773,084,737,871,500,577,100,248,724,914,650,694,
890,900,444,953,318,470,543,212,583,529,348,403,641,670,303,355,179,047,027,
748,290,061,929,082,330,571,978,475,764,049,175,896,400,034,911,343,460,388,
417,342,466,500,592,454,773,615,898,817,034,773,354,257,026,580,362,898,161,
118,480,605,420,436,562,749,128,751,911,282,519,390,420,658,196,544,337,751,
512,478,172,157,969,976,067,883,550,473,838,030,306,023,076,757,013,909,401,
001,655,173,676,375,733,862,233,518,276,750,306,574,685,666,805,706,893,080,
255,523,222,981,813,839,244,196,257,618,431,605,880,501,010,116,242,281,973,
158,138,517,148,552,247,964,973,176,118,299,428,031,336,118,243,797,752,293,
624,313,309,575,132,275,134,878,540,456,764,104,449,154,937,723,688,107,814,
708,067,778,665,000,851,780,286,348,981,751,280,399,852,514,490,311,471,278,
307,186,131,907,427,855,390,347,845,667,547,669,107,619,653,283,550,551,425,
891,724,681,588,886,968,134,526,811,185,181,888,732,108,281,538,589,642,347,
495,684,751,811,783,610,291,263,586,451,480,378,152,034,283,892,690,631,169,
699,300,251,103,024,821,197,497,810,832,347,738,119,082,467,020,973,641,990,
452,297,191,531,765,182,940,904,991,563,281,715,414,066,878,231,201,816,117,
361,038,982,490,743,364,556,992,509,511,476,573,784,397,653,018,564,617,590,
229,035,290,943,162,574,557,805,080,287,301,154,935,757,390,023,612,737,377,
334,836,571,837,808,601,474,592,800,313,936,559,127,552,635,214,410,202,199,
610,922,999,205,426,252,605,615,132,594,072,258,020,469,349,483,374,212,885,
860,578,846,317,866,878,000,338,114,707,915,682,372,593,233,235,708,474,583,
901,304,256,825,887,945,225,023,027,756,277,419,453,190,829,390,930,394,136,
237,291,614,959,642,927,996,683,447,655,542,810,152,520,872,335,849,086,126,
213,029,760,600,705,776,712,005,932,165,974,676,099,851,022,418,157,940,929,
562,648,555,320,918,640,801,794,404,510,476,295,169,065,972,666,923,239,395,
615,774,037,605,824,892,263,658,182,023,873,977,412,006,667,214,121,525,437,
613,459,019,198,399,457,530,097,542,139,546,072,485,900,126,647,105,799,211,
347,609,031,106,289,194,323,054,366,509,954,279,517,107,772,855,247,365,098,
038,064,735,425,145,429,496,293,375,179,583,279,169,819,729,521,444,848,345,
630,920,472,090,692,002,997,181,703,058,977,971,996,894,067,861,632,592,521,
122,830,065,371,356,379,538,598,872,575,009,293,147,935,590,371,507,801,781,
750,626,530,767,160,793,583,075,577,655,597,889,150,129,421,766,619,518,314,
934,600,955,331,892,251,473,362,381,556,590,847,047,141,149,276,186,927,950,
244,326,596,204,104,154,789,814,041,110,115,859,669,991,570,579,253,579,526,
048,568,417,190,327,872,678,248,508,905,919,468,561,176,330,750,493,066,958,
510,749,306,878,123,004,673,572,529,491,861,149,276,156,619,414,853,787,584,
706,001,010,345,207,540,253,758,763,362,610,373,181,823,991,987,783,597,658,
560,534,178,109,376,144,706,962,298,465,529,253,601,905,676,888,181,024,681,
379,768,394,003,191,431,309,922,343,681,849,879,497,387,693,112,483,542,149,
231,261,311,275,044,557,370,704,585,409,957,108,894,792,314,537,503,208,778,
997,200,402,021,782,451,666,209,229,805,201,748,344,451,924,654,462,285,623,
963,638,188,115,691,265,721,898,267,783,751,124,060,218,094,937,743,908,595,
042,180,000,178,682,282,109,695,979,013,419,310,191,555,408,827,097,892,455,
292,048,430,334,642,525,198,469,129,568,070,520,816,219,664,384,290,735,946,
630,430,204,899,160,064,012,027,160,139,972,698,214,217,309,232,904,665,984,
839,467,468,392,798,799,014,816,249,671,249,161,628,393,158,309,549,508,148,
585,495,615,942,455,493,801,111,601,639,490,339,222,831,961,404,299,151,948,
112,567,741,317,132,320,000,642,703,286,112,944,252,564,301,433,404,921,531,
036,389,433,391,808,863,600,608,670,120,430,186,072,130,052,820,759,453,229,
954,025,595,532,870,726,303,669,447,123,756,984,588,209,634,857,813,645,373,
466,190,094,676,377,329,230,412,123,562,294,342,701,538,252,416,677,023,021,
511,900,630,031,234,901,654,645,275,761,263,628,914,148,725,243,107,857,430,
175,506,545,400,430,358,949,017,476,633,177,360,863,073,304,666,862,645,826,
062,377,672,875,543,513,685,705,168,744,562,796,792,670,748,170,143,883,419,
122,907,412,978,325,263,680,597,501,425,814,665,384,588,580,346,065,938,160,
232,053,271,704,887,174,645,461,718,406,278,401,443,933,557,782,049,799,279,
834,948,796,416,740,033,484,284,642,704,402,058,105,131,699,349,968,735,010,
281,375,505,218,832,557,907,298,224,809,383,252,117,280,730,335,534,404,973,
344,887,589,982,342,058,413,783,630,279,819,922,443,037,823,906,715,576,173,
156,148,212,919,791,826,640,521,502,130,344,838,385,062,496,969,059,866,686,
830,677,348,122,156,274,038,202,649,778,850,432,914,833,310,914,553,399,024,
804,415,720,029,697,953,770,042,394,745,777,574,713,613,568,489,783,876,169,
956,632,316,272,806,606,925,975,330,352,774,755,849,740,483,430,579,078,616,
545,692,611,413,024,794,750,569,475,663,076,495,409,898,085,371,468,410,097,
171,388,450,933,590,914,327,020,036,388,340,040,936,360,683,423,458,282,646,
539,619,564,028,188,799,475,496,081,226,068,054,940,965,414,122,839,829,424,
046,527,017,736,150,019,904,319,776,007,160,065,521,710,199,044,944,485,923,
653,461,365,219,722,939,575,289,350,742,091,123,223,692,861,668,632,442,888,
152,163,902,863,042,045,568,522,698,253,065,107,916,857,861,131,938,008,122,
041,034,591,118,589,849,316,955,160,703,813,293,855,265,927,811,900,990,507,
535,995,960,920,967,275,099,390,063,834,579,796,915,766,294,398,916,258,273,
663,305,346,379,014,866,746,726,242,334,379,215,971,514,983,366,163,526,188,
037,148,635,594,982,702,235,092,833,303,342,330,639,474,200,156,234,410,799,
741,089,942,354,655,696,574,415,368,203,235,529,169,175,831,040,117,662,186,
258,043,002,877,426,088,653,179,182,812,294,841,755,865,470,773,872,865,383,
345,802,286,996,262,749,038,822,415,520,648,250,068,744,859,112,253,462,010,
678,867,604,730,544,959,762,138,958,810,544,550,053,586,634,634,037,475,814,
955,941,810,413,819,746,919,132,996,675,035,348,905,744,744,015,987,496,475,
813,663,556,971,256,269,739,114,152,914,945,405,188,210,763,997,503,532,408,
210,312,527,124,008,234,339,460,513,305,359,412,942,277,918,305,687,932,898,
352,767,839,993,569,578,000,257,990,276,312,686,819,078,242,335,899,013,244,
720,213,447,539,893,873,117,963,475,705,163,357,367,105,141,807,268,183,803,
794,906,487,397,016,127,295,371,338,695,701,882,023,933,735,727,005,303,284,
918,751,933,285,780,772,914,043,510,202,794,501,031,943,152,687,541,866,019,
163,296,366,243,538,691,881,369,374,113,713,315,705,822,252,179,105,579,299,
392,567,526,662,169,653,586,977,031,572,349,306,087,614,547,644,867,604,373,
387,936,654,786,202,804,211,197,744,339,772,069,134,887,812,373,711,202,275,
213,695,657,345,807,850,204,085,105,202,803,264,956,313,677,098,607,460,889,
331,534,252,073,712,031,283,423,302,871,857,398,778,357,979,807,869,375,875,
975,680,364,975,501,642,416,918,592,102,794,726,541,651,380,293,184,445,978,
618,281,310,008,893,404,870,311,527,402,408,421,103,122,575,214,555,517,104,
959,716,000,921,715,707,714,243,695,692,395,041,379,384,955,168,662,355,101,
012,136,340,250,108,534,114,211,478,221,655,288,085,428,654,454,115,044,680,
076,091,183,891,842,185,788,304,376,439,813,804,185,416,383,976,297,722,231,
132,159,605,213,949,510,410,874,345,227,279,993,177,975,635,807,617,959,895,
802,937,135,369,250,666,588,559,564,221,154,807,616,595,495,926,841,743,226,
522,921,995,215,990,049,350,474,672,557,500,344,436,685,552,453,135,565,586,
478,318,095,399,059,923,123,042,037,963,055,622,965,225,687,549,879,259,296,
337,515,449,375,859,766,621,463,428,673,952,095,261,280,353,849,161,284,726,
933,127,860,952,825,996,552,293,575,514,716,191,832,175,980,792,841,251,033,
327,594,523,171,614,890,315,802,117,514,727,659,796,300,978,690,712,476,354,
350,668,440,578,412,549,585,819,239,811,179,612,077,527,034,951,589,416,404,
533,339,511,465,209,442,021,252,187,109,690,222,283,644,181,712,359,503,933,
751,598,169,157,773,140,298,958,889,022,388,445,817,504,500,507,513,136,721,
851,289,668,722,685,507,059,419,313,069,082,160,844,503,688,078,929,386,802,
861,670,426,578,590,045,471,161,959,102,915,694,475,095,073,833,984,439,541,
518,477,383,184,524,741,390,949,980,084,860,195,561,737,579,315,438,960,264,
363,058,068,252,528,249,390,257,444,237,530,106,556,888,338,192,179,371,543,
173,158,853,667,055,147,882,343,002,670,803,756,477,214,182,959,928,092,842,
135,915,289,956,265,883,543,393,599,590,639,915,299,893,274,462,593,963,458,
875,685,328,465,377,016,345,629,812,324,676,992,537,163,990,547,971,401,016,
291,692,672,872,452,243,628,955,876,280,551,011,866,762,156,963,498,245,145,
459,213,962,532,917,984,176,512,190,757,234,064,659,804,369,180,704,794,041,
483,141,222,397,362,537,835,618,285,465,495,682,245,897,888,212,517,326,682,
523,486,315,580,927,783,776,246,353,176,129,424,145,443,730,345,498,999,270,
067,590,250,054,734,601,996,342,497,633,910,052,274,433,362,906,894,724,104,
058,384,998,687,072,283,183,504,899,622,389,212,213,469,860,259,942,269,982,
846,116,921,755,346,571,391,232,191,323,549,103,739,296,287,512,879,689,440,
889,615,392,034,498,249,248,805,541,386,657,340,726,877,040,794,522,414,281,
879,723,729,132,465,697,010,280,010,987,701,681,848,989,271,303,441,045,980,
738,523,347,855,210,628,964,493,474,635,003,353,668,474,351,566,647,948,777,
225,720,514,182,357,387,092,458,779,319,822,374,065,211,664,440,986,147,327,
512,389,839,786,440,306,021,280,466,490,904,656,533,515,760,765,375,793,198,
822,402,954,716,046,394,002,618,939,781,245,161,995,831,374,380,999,418,172,
023,243,167,653,867,004,009,028,924,639,333,584,189,333,757,309,749,056,288,
257,161,030,148,516,546,936,145,750,700,847,560,427,248,512,039,166,932,665,
845,165,569,933,869,995,952,006,002,863,662,695,932,263,040,628,730,065,984,
973,882,065,842,666,279,625,637,459,702,500,877,450,068,002,727,747,942,191,
956,872,969,648,861,660,535,232,915,378,543,224,464,368,419,236,646,691,810,
291,929,083,482,345,082,970,267,945,643,605,572,160,925,145,227,238,521,222,
189,475,725,899,534,641,378,247,404,241,800,626,112,889,309,395,212,367,189,
132,112,034,997,032,048,653,682,778,717,038,097,704,863,810,191,673,058,295,
926,002,940,773,554,904,120,657,032,156,940,918,966,261,715,241,710,153,496,
386,121,024,124,587,842,182,243,898,530,767,094,206,644,199,993,671,124,934,
180,593,387,317,304,833,209,179,073,633,597,814,170,803,583,546,426,974,570,
526,983,168,723,345,893,704,363,841,847,988,394,539,452,715,934,817,047,673,
412,070,263,854,591,201,777,103,260,970,201,813,170,542,861,579,966,821,801,
826,839,197,102,020,840,549,016,660,980,368,233,873,954,576,697,737,739,188,
360,891,252,453,311,730,559,192,026,576,320,235,522,562,255,408,152,199,552,
228,132,965,842,647,685,658,166,382,661,730,859,720,969,846,057,152,292,194,
952,672,635,841,974,371,681,161,341,702,334,804,774,519,035,360,331,990,858,
331,208,590,068,432,439,788,610,019,702,593,806,709,205,820,896,506,972,792,
621,932,868,663,036,781,010,369,694,341,125,347,512,006,216,572,794,496,782,
430,161,738,991,308,249,453,728,774,649,328,199,117,341,313,533,788,367,662,
343,434,750,754,390,000,343,299,120,306,289,107,436,316,184,299,110,316,499,
186,010,526,571,879,329,353,570,394,746,592,273,906,114,961,159,514,813,247,
331,033,660,039,212,780,032,090,238,631,940,155,842,099,740,340,800,936,321,
732,737,405,397,580,644,583,488,688,031,489,597,888,021,782,423,919,349,595,
969,589,897,861,597,749,497,933,121,788,960,560,709,013,662,762,621,569,252,
713,743,364,758,867,712,996,960,634,933,011,624,304,947,216,292,547,515,993,
437,491,498,103,089,305,460,715,537,951,385,704,407,234,444,490,206,428,132,
690,429,422,979,944,608,228,922,622,584,728,707,353,458,304,511,887,483,652,
694,447,791,487,870,298,473,781,610,440,654,989,771,775,690,295,537,742,279,
276,506,899,688,262,244,800,778,888,037,136,671,907,162,080,244,389,028,269,
211,726,473,143,352,996,276,506,445,298,850,527,542,247,109,617,035,154,232,
893,783,384,424,242,978,517,113,852,706,671,845,272,494,545,831,879,748,259,
674,769,194,762,622,493,017,119,117,521,963,208,540,007,553,140,596,691,288,
083,770,141,827,301,475,886,110,332,879,912,779,008,973,742,974,717,359,011,
968,775,501,187,347,848,436,839,669,727,724,563,046,983,260,062,574,529,763,
935,361,034,552,932,905,885,997,286,716,645,479,633,642,963,681,965,045,372,
646,755,933,139,272,084,780,668,139,234,585,476,135,072,564,627,018,983,165,
004,603,525,029,941,138,173,188,710,042,233,864,765,382,308,899,535,628,426,
100,339,816,848,044,781,368,779,330,246,118,460,737,470,027,982,501,941,348,
069,421,063,339,186,413,491,666,337,610,489,608,723,132,056,150,545,333,958,
670,653,103,212,881,184,370,676,852,974,937,424,016,382,814,349,853,300,481,
688,525,463,072,304,927,350,737,452,501,280,355,308,773,694,632,843,788,126,
513,197,648,245,735,611,544,055,199,188,566,829,400,707,582,127,340,772,889,
238,916,242,153,585,783,932,979,832,650,862,399,723,185,714,217,064,793,502,
598,061,372,850,444,279,104,686,977,205,131,072,947,434,075,479,410,375,670,
603,379,605,164,096,495,668,186,818,644,330,131,205,229,698,217,792,151,303,
804,105,983,389,925,289,846,525,316,854,022,110,354,589,477,244,468,509,964,
897,492,528,535,643,618,610,171,425,876,861,115,996,650,680,214,213,764,998,
730,696,130,789,534,051,721,044,633,852,236,786,873,476,005,424,777,927,203,
849,835,002,653,099,521,220,793,287,753,087,219,997,885,094,277,547,455,925,
217,642,499,636,728,459,343,508,312,869,608,136,320,301,738,266,124,725,745,
695,678,397,809,881,249,731,163,365,033,933,706,957,659,259,633,718,473,055,
254,221,949,162,631,316,516,299,980,228,695,273,924,543,088,015,497,303,308,
511,837,181,342,530,133,577,635,672,537,682,552,657,585,101,158,606,656,324,
342,577,031,553,326,589,894,444,872,164,785,621,203,151,101,001,827,741,778,
500,475,849,947,887,761,939,048,155,797,734,139,773,801,913,270,043,800,837,
072,859,171,866,254,728,565,696,134,077,717,676,101,645,319,106,225,341,928,
565,887,561,843,485,763,828,304,527,114,665,565,921,614,227,035,300,849,323,
257,097,601,784,712,095,123,206,398,974,574,311,280,737,157,004,557,551,495,
247,788,141,439,648,615,005,909,871,081,031,268,825,611,071,030,082,648,344,
218,134,699,857,964,532,499,827,631,557,643,548,724,060,428,871,506,012,679,
926,072,117,121,306,472,300,339,405,708,461,478,089,622,452,002,160,278,899,
388,959,926,442,530,297,082,071,401,817,697,837,926,565,611,941,646,839,715,
962,905,175,374,300,475,586,881,268,133,255,686,467,576,257,943,099,792,775,
899,791,932,301,575,035,868,540,636,428,626,272,248,922,102,269,823,036,225,
642,034,926,634,192,046,488,509,750,217,247,894,021,341,025,390,165,784,433,
877,835,199,304,874,164,704,910,303,508,616,476,946,717,800,711,264,413,819,
787,759,015,686,995,157,527,753,050,837,445,862,130,387,696,680,480,747,155,
382,966,218,979,135,192,175,726,386,247,620,436,255,914,763,818,899,440,986,
885,356,003,800,362,726,477,532,830,052,294,101,751,987,302,109,199,380,466,
111,318,480,464,354,835,710,819,022,798,134,476,058,920,585,485,740,694,904,
028,365,890,988,383,458,995,969,686,656,544,727,861,690,525,642,369,229,650,
186,732,818,365,119,082,163,195,923,100,142,213,261,730,038,725,552,291,740,
063,663,523,239,119,208,856,297,175,584,795,814,178,465,268,961,674,492,044,
458,434,990,920,888,669,410,741,208,620,233,879,199,500,173,468,740,704,582,
487,992,813,163,006,630,267,201,735,400,273,590,253,476,044,749,898,116,334,
500,325,846,422,565,147,284,416,299,908,989,061,527,290,288,869,678,204,315,
774,940,390,206,714,630,532,427,751,343,243,747,181,675,511,440,355,221,306,
775,483,016,457,270,628,621,106,478,986,409,205,578,838,303,312,314,180,942,
950,818,477,573,106,732,938,091,766,621,776,240,947,005,499,934,671,820,038,
681,985,577,554,113,509,718,499,328,199,215,950,393,342,669,965,024,806,429,
457,429,903,823,694,153,717,941,317,841,875,571,614,960,934,969,304,040,622,
514,161,601,888,669,380,113,595,146,234,671,378,726,759,713,211,949,879,504,
666,292,339,475,828,780,436,772,712,720,458,388,670,564,568,486,728,763,878,
952,926,525,630,607,092,278,567,548,901,906,892,598,088,500,943,859,171,796,
628,720,795,722,267,369,545,838,038,287,129,590,334,963,903,677,756,129,327,
814,539,365,582,265,116,360,000,510,559,023,014,400,769,283,260,418,103,477,
776,025,903,109,779,957,318,468,474,993,399,228,195,272,574,144,242,268,552,
095,088,717,022,255,636,961,148,676,618,952,974,643,554,120,983,759,571,830,
164,997,772,000,370,315,149,568,782,890,930,165,636,978,754,742,915,909,328,
763,931,124,336,859,603,009,170,889,722,116,130,480,168,307,277,753,627,607,
735,322,374,420,105,745,456,718,855,846,070,077,559,904,495,593,480,208,340,
652,362,161,828,906,419,893,422,151,237,100,072,241,273,271,493,652,680,336,
132,882,312,204,896,644,659,050,418,412,344,311,149,146,603,806,604,366,777,
135,712,009,833,846,119,202,359,311,405,364,196,555,659,711,493,039,557,471,
329,840,206,312,467,047,887,911,064,028,883,587,376,873,981,738,789,678,127,
998,731,648,459,634,354,080,007,910,840,985,559,304,370,208,285,598,537,614,
346,463,128,494,575,093,990,140,709,705,625,377,171,091,849,839,488,175,920,
329,119,679,709,849,037,237,985,187,597,059,029,327,766,672,436,544,742,359,
990,169,444,862,658,383,371,178,953,511,875,377,199,912,938,062,117,932,130,
524,234,689,587,771,891,734,015,071,747,412,491,915,599,445,414,104,466,733,
040,885,178,364,075,173,185,302,918,767,481,411,131,180,266,409,574,762,289,
244,072,281,675,994,635,083,981,693,141,812,711,479,381,049,283,254,402,209,
026,538,141,921,025,043,850,397,834,994,455,153,205,520,751,256,745,862,510,
899,487,613,039,229,141,466,541,473,280,972,371,639,516,613,115,600,005,384,
567,273,199,165,764,233,689,125,986,463,780,341,124,409,622,254,923,520,959,
273,152,317,643,996,785,250,860,329,457,842,790,836,808,185,505,999,258,945,
688,924,640,636,195,405,097,862,261,410,698,608,214,608,643,810,056,581,362,
193,783,053,732,969,982,468,779,716,668,182,549,383,948,207,895,305,227,640,
200,766,374,016,784,240,504,297,302,712,729,598,523,231,124,024,633,831,486,
954,603,911,836,890,260,263,367,406,072,511,557,840,215,208,050,320,019,837,
769,290,367,670,477,837,819,027,091,136,117,064,373,707,986,944,139,559,637,
742,826,204,439,715,819,974,176,218,351,432,565,541,714,250,475,902,925,285,
242,582,335,393,452,873,995,618,271,722,905,607,001,928,838,605,662,918,947,
590,657,686,994,007,267,579,136,699,355,994,422,794,680,817,496,399,148,371,
703,040,083,231,808,569,266,712,182,130,237,496,255,555,865,585,213,589,436,
834,986,706,566,296,131,926,344,932,897,442,069,491,006,853,889,366,761,814,
430,741,334,553,934,824,946,444,393,511,687,885,864,105,199,020,136,560,664,
515,600,605,264,760,313,275,626,094,290,763,934,369,981,569,841,476,063,739,
046,157,826,981,035,922,053,669,282,121,565,187,764,363,098,362,991,338,516,
687,444,465,989,868,655,088,119,677,645,864,509,059,878,498,028,680,881,732,
424,087,065,997,253,049,383,131,400,085,225,385,871,613,828,080,968,988,158,
715,961,417,340,480,865,248,128,199,275,743,945,148,057,360,170,830,969,081,
970,741,199,347,310,997,749,828,625,665,398,600,621,193,833,148,376,741,885,
519,265,683,025,279,778,496,337,543,579,377,695,655,076,341,065,575,650,209,
780,851,551,167,625,265,148,178,047,485,252,294,485,813,982,270,286,140,743,
132,947,313,097,789,121,448,800,819,209,239,573,778,799,949,971,716,133,090,
078,610,094,367,820,073,799,979,006,485,237,309,115,199,154,141,928,979,226,
733,459,611,640,930,871,064,767,472,860,620,699,700,155,801,679,540,410,210,
027,351,258,761,558,363,307,981,134,096,933,127,513,579,922,014,907,218,369,
810,588,980,907,158,458,801,919,187,718,478,004,100,265,515,480,893,681,138,
363,150,030,241,188,504,107,665,068,308,805,157,636,333,303,701,790,155,292,
100,265,502,391,415,689,003,908,802,688,205,233,157,150,029,503,982,954,323,
228,853,632,796,649,584,469,660,029,113,583,718,727,561,227,034,236,565,830,
262,520,430,848,502,736,657,880,211,847,030,151,842,529,914,813,528,325,381,
310,438,064,554,805,815,525,747,145,837,854,173,631,211,451,585,247,927,452,
981,882,700,544,281,730,053,402,636,254,047,981,091,192,327,532,187,194,480,
411,827,913,903,268,037,975,055,978,308,354,541,398,086,587,844,299,824,997,
104,575,148,970,286,865,680,518,736,057,279,260,393,061,937,229,242,636,608,
687,603,185,073,929,155,492,289,176,984,570,152,841,575,798,345,716,279,192,
366,553,963,878,628,211,836,765,097,110,371,367,671,282,150,025,378,865,804,
692,456,530,471,639,992,877,144,647,238,595,746,412,313,350,660,745,577,683,
140,444,802,328,160,225,231,473,599,587,497,875,450,131,059,275,460,654,191,
726,472,215,059,840,936,669,076,302,313,858,971,253,003,862,790,996,146,929,
162,671,422,015,734,068,763,344,037,169,158,760,166,594,578,740,922,051,245,
680,840,414,999,853,186,614,217,306,896,412,850,357,875,639,621,600,382,140,
756,024,040,095,164,635,617,759,054,642,052,232,647,843,361,073,851,795,312,
679,557,632,363,569,329,949,135,320,622,081,033,216,539,346,690,665,418,990,
782,435,343,219,912,771,220,649,271,670,486,837,583,786,285,359,097,519,506,
215,787,102,388,042,944,655,759,286,661,735,643,466,098,005,391,859,807,232,
342,860,133,514,656,642,955,760,531,761,906,228,038,147,651,159,564,174,895,
878,243,855,114,242,285,762,552,196,700,279,292,832,233,361,558,151,036,284,
132,518,985,468,405,323,401,379,472,647,060,510,634,096,792,477,741,162,345,
235,609,689,006,668,638,605,216,989,795,474,273,469,252,897,299,944,349,462,
509,339,433,803,357,275,582,091,659,786,958,506,155,618,973,182,394,440,130,
360,876,457,685,452,373,050,099,215,701,720,334,578,672,331,768,892,852,415,
327,335,009,808,399,210,683,451,860,218,104,684,139,455,462,827,562,824,797,
082,565,025,559,816,971,043,070,534,871,485,122,062,337,048,903,604,866,144,
385,013,948,429,794,268,152,145,316,887,326,733,376,364,478,974,238,211,627,
809,118,447,320,315,822,910,159,834,869,395,623,401,112,750,480,602,943,541,
435,515,913,588,390,721,674,903,458,160,277,232,735,575,279,802,324,861,073,
345,575,084,572,907,059,097,460,402,603,234,491,033,396,354,722,045,788,393,
091,596,840,348,784,176,874,296,873,782,265,025,249,298,205,230,705,592,008,
010,845,746,700,082,473,877,325,753,584,208,064,311,737,888,076,251,810,762,
079,791,465,856,669,472,377,129,375,153,047,254,377,317,651,854,391,151,443,
628,097,265,981,431,192,626,363,417,988,965,753,573,244,208,518,515,472,232,
018,945,942,109,911,684,505,248,814,338,788,544,329,568,706,166,844,358,525,
946,462,663,012,408,825,594,601,562,079,074,741,162,619,485,466,308,933,391,
987,467,187,993,143,001,822,449,197,788,373,264,832,451,128,949,965,601,580,
392,660,594,724,985,324,829,997,705,191,601,042,008,281,343,106,131,883,200,
766,417,161,361,926,578,090,971,583,331,027,311,848,106,717,503,582,840,913,
951,670,383,003,538,354,632,438,177,493,946,735,603,910,704,216,158,162,441,
625,124,505,205,081,903,320,635,140,337,472,542,217,230,352,716,192,863,954,
918,488,454,482,559,994,925,962,531,355,640,296,112,477,514,100,884,023,969,
708,725,530,323,146,276,703,280,184,815,424,123,249,579,158,907,107,929,096,
230,138,975,275,918,290,646,453,037,552,312,923,461,283,490,139,133,411,990,
917,039,416,133,732,316,152,132,348,925,178,191,028,694,615,529,925,661,509,
429,136,563,684,709,814,572,967,007,547,661,102,600,999,138,116,808,309,269,
093,585,022,441,835,688,301,361,122,519,084,012,989,996,798,792,094,628,572,
626,320,867,403,879,532,946,089,453,483,525,805,572,792,307,599,845,900,882,
961,501,651,211,533,032,560,285,355,587,863,207,962,645,302,702,437,710,579,
319,071,408,221,441,468,913,908,628,847,913,444,128,778,009,457,334,780,247,
535,352,676,822,695,839,654,958,880,892,760,961,870,919,650,323,032,687,268,
299,411,121,618,705,712,377,588,612,194,246,380,361,484,789,936,583,589,719,
375,024,751,270,835,703,085,136,327,018,180,110,999,476,062,541,235,451,813,
314,709,092,950,080,086,090,800,290,525,741,956,795,320,922,754,228,569,282,
650,957,120,718,717,707,321,549,251,355,302,022,816,044,963,513,705,576,883,
393,355,297,607,839,331,047,545,376,976,281,975,465,416,071,526,706,439,436,
309,494,809,218,999,580,030,433,948,712,828,278,072,246,245,912,303,438,261,
786,689,666,730,786,067,397,905,665,345,190,630,737,637,703,125,787,031,269,
390,882,033,990,088,859,216,679,286,117,465,474,994,828,518,600,522,218,068,
925,052,228,530,307,967,583,892,548,255,543,329,945,667,180,604,945,025,785,
422,623,919,475,324,810,342,124,467,953,703,926,802,473,708,204,462,955,684,
275,580,721,379,750,976,744,497,000,815,645,368,445,003,661,196,410,185,117,
194,309,229,801,834,858,460,827,770,798,879,178,549,207,064,867,130,916,280,
186,387,799,501,683,519,414,733,935,026,683,158,714,420,768,136,869,078,979,
520,173,815,970,105,904,611,980,332,082,158,033,169,991,346,642,764,721,702,
004,306,365,700,978,059,965,510,876,483,889,302,881,039,029,204,327,485,835,
894,780,102,624,654,579,889,478,174,448,571,094,282,581,911,565,943,254,796,
983,256,743,672,917,296,354,195,064,564,321,046,833,283,359,926,165,076,451,
288,972,075,813,978,007,298,018,668,254,226,219,331,590,846,118,884,368,690,
065,283,188,766,247,925,705,238,003,358,253,636,175,867,922,632,214,415,227,
759,427,650,015,396,905,423,207,327,343,378,108,532,308,786,061,516,564,858,
427,756,026,033,247,409,195,942,314,851,805,939,800,246,095,905,752,415,824,
386,124,316,661,109,335,983,928,508,701,186,580,966,227,781,825,160,181,820,
224,118,741,916,772,975,930,272,844,730,904,235,982,753,629,130,952,983,574,
373,168,481,687,044,674,140,651,563,677,676,251,662,221,487,570,014,738,499,
751,833,161,615,934,100,355,179,143,802,256,558,837,878,583,901,112,574,257,
646,664,470,891,955,107,820,039,140,699,039,547,806,555,407,534,983,785,073,
645,348,982,772,128,398,780,876,612,992,034,835,330,676,345,522,559,485,955,
073,605,850,922,111,815,209,964,952,451,659,427,840,918,055,576,034,287,544,
314,144,001,498,801,665,068,709,871,579,080,806,028,548,754,818,274,498,959,
666,737,191,444,544,864,867,954,095,057,845,373,576,774,422,283,766,422,004,
916,993,920,716,437,689,192,258,384,108,956,102,032,882,935,576,306,926,887,
216,242,887,123,813,761,732,971,987,227,346,644,231,150,228,790,851,323,958,
556,006,155,834,571,518,205,485,276,990,400,772,255,973,267,288,649,491,630,
488,243,887,397,524,885,858,656,365,477,759,695,342,345,476,687,477,234,213,
415,488,758,394,374,565,525,738,788,939,646,734,300,551,634,544,130,858,330,
689,268,914,055,840,042,567,011,919,031,807,116,628,947,860,489,608,858,269,
415,783,287,144,876,906,533,076,656,026,055,144,020,631,964,678,113,789,920,
718,737,701,446,248,809,630,580,876,214,469,565,072,203,369,395,935,557,053,
772,565,089,270,250,381,038,982,783,472,628,238,183,449,496,158,675,352,156,
003,114,162,313,129,432,336,809,320,287,102,589,524,843,779,612,565,604,351,
698,466,554,351,505,076,766,655,398,874,005,585,802,648,238,843,921,777,699,
426,743,593,691,930,424,944,222,611,399,089,217,742,298,784,102,453,605,404,
311,812,226,966,631,216,911,604,119,888,953,104,221,373,979,129,197,492,607,
564,879,115,338,656,328,443,095,152,519,167,392,560,859,511,812,021,386,003,
119,167,627,688,007,298,818,408,963,947,822,413,510,388,578,747,014,209,200,
767,746,937,590,230,489,813,069,750,030,087,813,988,555,992,094,604,563,797,
681,288,786,738,829,397,833,742,086,810,016,919,420,467,157,097,507,370,761,
020,199,840,721,122,070,820,485,000,885,200,120,110,254,045,795,562,698,799,
929,368,682,619,844,799,121,645,152,131,539,825,664,935,635,738,067,545,445,
475,955,743,881,059,355,168,897,844,939,037,666,759,370,075,320,423,589,767,
999,776,900,359,556,609,159,234,702,362,212,637,364,858,133,233,783,945,107,
118,476,348,371,503,375,376,256,334,157,712,247,813,505,094,967,365,307,736,
434,925,117,896,983,283,952,437,521,665,488,273,183,943,506,029,821,141,707,
479,481,066,332,117,682,319,119,161,309,307,145,370,321,322,564,074,667,491,
152,714,233,557,785,910,397,241,757,419,484,051,397,687,283,496,903,173,035,
022,495,036,747,052,023,784,128,568,873,926,943,948,474,319,146,744,398,308,
629,807,302,129,566,276,684,077,234,660,169,963,201,096,283,955,740,884,339,
214,332,680,506,021,333,421,757,583,060,127,437,709,342,556,572,378,241,207,
871,958,254,710,424,268,343,873,705,437,675,695,689,764,065,904,409,190,091,
171,293,249,381,683,061,764,009,517,592,491,447,286,364,163,315,489,927,494,
833,301,011,451,354,811,158,337,536,673,061,070,375,567,100,213,627,066,922,
783,571,113,191,341,866,595,908,078,373,359,116,091,932,075,242,043,397,931,
210,692,991,000,779,035,114,259,573,574,626,680,503,755,919,676,489,909,360,
706,797,996,870,721,918,391,906,609,288,788,645,708,128,348,002,494,527,933,
143,583,163,465,371,189,541,335,577,724,980,427,331,179,448,263,603,057,132,
635,709,575,669,708,189,856,470,303,486,851,772,806,380,154,658,355,215,844,
372,585,668,867,838,931,445,277,864,030,733,562,316,538,615,830,506,732,476,
448,534,303,697,647,993,353,029,874,706,502,555,181,972,995,655,010,979,468,
039,429,921,330,707,688,730,424,071,299,402,820,373,439,183,544,184,568,428,
348,702,392,367,176,478,413,451,649,960,793,620,811,620,063,006,053,679,726,
201,980,730,111,511,001,902,568,349,256,237,041,188,702,098,472,364,970,629,
561,612,319,952,516,312,022,011,636,098,649,072,250,394,077,229,698,359,397,
664,894,081,160,097,121,176,351,459,804,633,405,919,269,581,351,579,935,941,
611,078,997,303,885,273,978,226,041,399,951,543,554,073,520,552,197,036,781,
040,525,737,795,054,805,583,523,860,778,235,952,941,731,242,228,326,472,524,
424,322,403,129,084,714,388,616,835,074,692,957,208,028,450,631,893,623,393,
904,619,918,337,803,209,685,737,997,808,972,176,615,209,917,452,087,500,396,
579,461,309,709,673,291,535,746,173,689,023,293,972,486,992,370,567,222,053,
285,560,143,805,873,813,300,702,556,298,031,913,363,526,673,936,622,005,027,
581,008,509,590,374,665,452,971,124,364,516,274,531,138,435,114,882,766,118,
185,000,173,985,090,036,922,752,459,996,527,596,005,294,806,313,953,347,175,
363,249,498,861,623,681,224,157,825,549,820,129,961,911,673,065,933,508,618,
797,490,161,644,437,989,553,578,639,211,659,640,058,384,279,227,720,698,259,
331,566,248,393,860,205,031,638,881,215,365,784,483,101,765,166,308,043,170,
560,015,794,292,893,847,979,763,923,614,979,230,515,387,142,306,583,491,683,
828,127,168,728,824,857,305,611,385,035,122,377,491,285,274,384,928,594,251,
787,666,558,825,863,873,287,520,008,200,353,847,416,539,539,440,419,893,889,
181,646,525,387,802,152,357,695,242,011,717,911,121,103,755,742,832,661,592,
460,249,634,218,576,879,644,000,328,884,310,855,616,301,453,606,080,914,820,
218,501,522,921,449,589,140,569,320,190,056,096,766,606,050,513,110,714,097,
310,888,587,174,118,706,627,863,138,797,832,027,602,330,996,060,221,554,743,
391,205,019,534,433,057,770,104,253,700,035,364,674,879,188,081,471,009,948,
515,859,807,814,520,857,200,906,292,055,329,922,217,371,477,095,895,107,564,
103,486,280,677,075,662,377,881,674,574,264,431,942,952,198,504,862,227,001,
778,058,579,605,895,017,907,453,916,692,045,059,097,473,563,110,425,464,948,
159,698,833,320,356,955,659,236,071,807,995,226,921,329,635,136,421,185,999,
381,491,438,867,260,103,936,498,714,962,675,922,632,257,915,044,841,665,123,
017,935,941,635,214,303,740,122,307,729,574,230,501,938,453,146,281,338,009,
298,335,071,048,022,887,979,461,288,007,672,135,886,161,215,027,941,958,628,
601,723,550,968,238,969,965,571,685,553,801,715,635,603,848,104,484,010,514,
102,660,315,567,849,067,015,782,752,600,789,577,399,891,370,821,340,286,024,
025,112,310,298,340,712,840,095,325,957,546,308,285,658,896,541,875,442,269,
533,433,057,365,527,552,973,092,024,916,447,499,143,712,319,864,628,887,961,
045,400,847,893,427,543,019,938,787,235,079,012,738,165,040,595,533,990,272,
689,857,157,512,965,818,430,876,654,460,383,450,280,996,684,905,068,001,326,
597,116,787,995,951,009,702,104,218,242,501,251,529,549,150,339,055,932,679,
151,083,064,630,023,131,702,909,540,121,108,007,046,535,380,045,503,196,190,
070,624,387,028,434,239,148,875,154,328,521,849,682,787,128,005,903,747,180,
230,572,140,334,512,960,156,531,102,235,255,975,209,007,097,440,813,266,437,
019,540,072,840,492,106,015,043,124,682,497,427,367,377,639,857,521,496,109,
621,717,094,569,069,997,093,170,138,676,425,123,453,042,097,502,123,226,176,
672,473,085,233,613,326,104,625,665,890,101,685,401,246,503,650,537,731,535,
131,547,974,952,085,361,474,084,067,737,482,468,240,799,818,429,244,184,198,
755,430,938,830,084,524,620,055,983,148,315,585,104,937,843,667,584,485,468,
117,826,352,166,493,565,447,258,460,677,106,035,378,874,959,760,960,079,057,
541,004,012,480,977,069,797,676,513,131,937,552,776,508,357,143,849,822,151,
572,658,827,134,463,378,289,567,057,433,445,201,558,803,709,167,256,938,040,
352,622,146,712,799,539,408,226,281,768,797,768,761,887,718,439,964,523,238,
560,198,872,221,481,648,384,598,430,183,644,311,141,216,446,062,734,067,964,
349,008,655,299,513,521,066,012,058,156,893,650,217,730,377,215,570,966,862,
206,345,601,621,784,372,520,059,101,067,355,549,339,799,424,390,418,015,716,
443,625,361,643,127,015,189,674,046,899,024,352,510,914,585,739,096,024,443,
848,330,304,165,125,043,713,712,190,864,771,769,838,001,672,523,525,905,360,
192,185,306,533,084,557,398,844,695,018,736,125,054,641,396,818,289,054,033,
144,772,486,371,341,559,012,986,387,509,857,461,584,556,242,599,447,806,852,
855,651,367,000,831,009,618,470,872,229,162,631,748,641,161,894,535,586,403,
181,459,077,078,092,844,879,782,835,908,952,772,235,317,925,838,769,716,298,
760,107,304,640,026,374,466,665,868,438,766,761,153,938,546,223,318,268,215,
752,058,787,815,025,058,871,850,479,638,759,249,431,734,248,672,797,794,829,
328,817,841,908,180,919,152,106,198,918,152,258,733,507,198,368,236,992,328,
642,471,866,103,419,673,529,297,060,806,923,487,576,090,382,314,498,055,504,
094,514,372,577,801,092,791,213,636,570,129,837,691,256,239,090,448,214,563,
402,240,192,013,521,765,229,370,611,279,143,725,374,443,299,719,660,595,717,
896,864,385,288,122,331,166,052,556,769,052,675,078,537,057,216,896,337,692,
185,939,753,855,224,310,580,191,341,688,553,756,548,974,767,574,900,741,219,
374,773,496,519,756,881,431,128,274,532,543,064,020,581,506,635,584,332,209,
185,097,925,450,897,927,455,921,387,470,328,289,953,199,828,021,856,622,005,
110,322,362,110,837,956,809,770,732,756,714,462,342,361,382,593,314,067,569,
909,953,662,528,905,053,784,345,264,681,681,979,830,354,213,586,060,545,011,
163,699,519,589,864,046,298,072,279,686,477,498,666,892,144,891,773,200,918,
420,582,551,111,478,823,322,260,411,750,504,681,646,849,002,462,787,254,136,
632,455,580,182,760,487,012,970,578,978,544,869,541,220,641,234,585,588,074,
412,326,677,617,539,742,686,806,845,184,545,297,612,610,681,476,934,382,929,
992,120,665,370,172,069,019,980,824,096,188,215,362,958,032,552,154,986,170,
147,801,342,108,260,296,072,721,803,487,464,395,924,051,900,658,857,928,067,
642,773,756,784,378,312,513,082,053,543,566,994,822,305,569,703,265,739,593,
332,379,254,648,626,366,587,217,903,613,421,499,428,758,245,936,897,085,147,
762,280,645,245,022,478,287,347,706,068,212,268,903,869,908,884,744,889,251,
227,848,240,873,266,004,594,021,360,230,550,428,256,892,743,104,127,960,871,
764,140,493,450,159,914,974,982,714,869,561,239,226,349,145,165,982,045,869,
986,557,264,102,742,939,976,606,824,983,410,273,845,203,536,188,302,176,348,
879,660,596,913,126,089,794,366,312,500,870,629,356,164,238,445,635,155,905,
068,144,069,080,749,723,316,764,576,926,644,290,508,669,079,288,063,732,397,
747,376,273,636,415,203,289,971,299,898,241,891,922,687,296,566,828,817,738,
201,244,493,891,582,306,862,648,105,178,350,167,743,424,989,318,408,803,301,
432,778,949,960,225,150,858,403,363,042,027,830,047,332,205,651,341,286,396,
117,312,243,871,306,654,092,180,801,514,977,718,524,599,571,186,331,923,145,
076,116,581,888,604,775,793,581,694,647,748,870,751,066,373,035,853,656,301,
025,109,467,185,732,157,884,592,404,585,178,718,716,005,408,107,901,719,033,
214,761,331,015,919,437,835,940,687,480,136,391,590,972,466,738,954,599,666,
974,932,888,966,107,554,205,783,112,144,077,944,237,470,179,181,834,073,205,
629,138,061,379,631,536,677,075,368,277,884,601,514,823,000,968,361,613,588,
930,143,600,599,659,209,654,730,095,750,512,965,856,656,801,653,495,391,543,
615,923,824,350,256,385,008,256,154,586,649,743,990,866,067,251,172,681,494,
802,977,377,701,260,411,571,833,569,137,191,590,488,061,436,462,829,704,045,
894,936,392,098,955,236,190,103,331,798,535,609,799,715,247,219,446,348,608,
908,679,077,016,774,998,974,798,281,601,277,738,589,075,794,965,092,508,288,
752,110,540,074,183,205,735,044,111,880,764,372,392,077,690,119,041,095,114,
602,429,857,742,634,296,179,397,593,745,220,091,935,776,987,258,115,983,226,
599,677,036,702,788,784,781,567,296,560,205,387,416,523,965,526,070,536,087,
158,535,805,029,743,895,451,039,928,709,333,169,671,006,330,706,030,046,820,
322,337,902,362,432,723,450,373,956,828,564,024,277,972,640,671,337,171,334,
844,793,366,167,122,261,768,882,016,650,810,433,531,116,109,825,115,122,269,
441,656,718,936,038,301,702,495,126,775,570,177,966,935,134,384,129,134,431,
021,464,015,018,148,865,603,757,643,616,551,092,278,090,691,635,643,409,507,
403,630,377,148,828,443,432,899,180,075,215,490,320,756,614,508,297,756,696,
344,858,510,217,328,866,687,277,832,654,905,516,409,647,356,699,137,829,196,
395,551,121,760,766,227,893,870,069,159,429,195,648,793,069,821,446,113,057,
852,310,056,105,025,382,504,689,136,853,348,615,170,421,263,050,175,964,897,
580,558,612,522,346,468,379,476,132,788,996,542,705,172,978,547,158,417,467,
020,179,854,352,908,432,862,631,536,238,832,717,201,254,700,823,848,908,326,
156,257,766,927,676,258,729,644,437,875,531,540,539,193,578,737,962,777,578,
530,315,732,808,428,584,714,759,416,388,302,133,953,510,056,241,065,786,808,
977,370,502,588,770,661,938,603,953,135,295,615,254,907,923,972,405,554,352,
662,268,407,546,242,117,133,098,987,005,608,443,920,235,929,978,440,608,440,
702,547,541,121,690,146,588,649,180,241,215,732,314,779,973,295,986,343,343,
551,265,442,677,123,911,768,106,609,879,588,917,940,235,140,676,510,112,935,
880,886,971,707,796,171,868,976,948,211,616,600,313,476,164,219,155,082,935,
953,934,250,880,703,614,081,278,829,496,568,485,649,093,943,272,476,423,228,
158,330,391,664,713,988,966,721,266,205,262,087,389,034,971,437,971,322,498,
290,825,957,596,001,490,454,057,394,952,730,507,237,599,010,133,775,383,081,
435,829,156,578,503,393,832,598,203,636,513,264,237,937,562,269,222,142,367,
514,734,532,682,034,390,560,218,694,384,067,890,335,557,905,196,296,936,506,
244,524,261,833,612,510,211,741,703,489,985,671,704,367,320,979,167,636,777,
241,584,050,840,949,279,962,934,497,622,541,255,092,248,839,329,744,999,132,
846,074,306,364,904,301,966,788,260,648,867,195,767,962,546,082,886,579,877,
317,965,037,813,011,409,663,581,667,373,707,113,387,231,394,523,832,320,199,
144,560,480,280,158,683,896,186,043,609,049,392,995,234,156,693,302,006,135,
451,548,094,538,225,058,110,050,430,494,203,192,409,565,276,127,700,002,758,
831,452,422,555,490,453,735,962,461,526,106,996,491,148,999,229,428,615,804,
606,234,613,194,502,433,433,223,897,390,008,569,244,105,393,867,561,641,421,
422,541,434,194,049,368,297,070,414,040,114,931,773,111,101,032,606,212,802,
028,582,862,167,595,125,296,484,526,952,475,922,076,016,490,958,901,620,295,
856,560,899,581,495,933,470,796,626,145,665,915,627,635,277,749,003,507,614,
656,736,061,285,662,491,058,797,885,036,503,450,224,314,391,920,382,610,356,
719,330,739,141,499,489,100,419,080,898,125,807,597,833,299,297,358,314,389,
006,477,579,311,952,501,076,671,076,925,092,493,736,682,618,198,991,874,357,
912,760,107,135,265,452,969,263,980,961,756,363,424,472,905,595,146,154,453,
615,581,762,068,529,734,069,630,176,849,498,519,446,995,060,871,133,338,410,
818,455,822,830,372,776,178,007,505,705,835,336,926,438,011,662,915,054,675,
385,561,279,986,180,248,906,384,818,315,550,683,678,186,715,533,419,968,473,
057,987,924,491,443,191,190,674,625,236,949,448,304,261,127,608,797,998,352,
047,372,028,664,080,971,958,232,129,068,104,704,612,898,942,660,482,754,539,
528,629,703,062,402,005,571,735,156,913,296,195,555,434,208,605,123,041,164,
573,560,856,397,000,128,603,499,000,739,269,132,645,187,464,302,325,279,876,
814,336,590,071,585,317,184,012,283,529,268,369,439,792,390,436,040,322,598,
824,778,544,091,573,091,906,941,605,579,634,276,164,636,885,532,461,396,413,
497,819,988,142,719,062,819,527,784,470,643,271,206,878,601,325,385,932,901,
640,873,525,151,164,362,317,301,666,684,560,566,449,839,386,558,913,056,100,
862,953,886,635,349,637,119,540,094,587,154,878,616,425,361,237,891,251,218,
611,199,005,911,978,461,136,629,391,054,254,287,390,430,973,475,425,459,506,
009,592,618,831,078,315,603,049,576,738,398,274,418,110,292,692,660,510,145,
988,469,597,187,511,081,835,823,481,474,157,454,518,712,212,716,105,037,866,
528,449,968,680,076,116,251,594,883,118,829,853,936,479,213,269,011,203,457,
222,583,171,721,322,523,915,842,384,977,973,068,439,808,465,706,920,296,640,
646,340,506,767,802,443,521,663,388,547,370,676,343,064,409,824,811,822,843,
372,658,977,000,892,778,452,584,934,960,522,915,238,748,133,598,529,733,371,
824,168,296,454,903,840,043,642,483,252,508,234,785,591,882,796,037,285,407,
286,768,972,290,290,926,783,398,156,396,907,704,374,594,713,040,688,466,422,
722,213,577,618,474,079,755,683,360,308,493,879,110,524,035,010,181,267,724,
957,486,617,233,993,444,040,599,035,970,526,864,252,899,733,798,698,426,623,
319,154,693,158,752,720,044,208,911,065,548,766,760,771,747,072,424,716,669,
760,101,729,822,314,108,062,524,126,666,519,324,510,033,902,386,289,998,770,
800,423,484,924,963,674,830,214,528,992,311,356,946,357,959,914,351,886,771,
145,384,234,522,407,921,019,598,793,251,534,065,763,289,018,513,016,717,874,
608,148,550,589,900,518,741,707,501,268,198,566,073,531,623,060,828,791,512,
272,233,694,687,131,630,112,475,773,413,750,863,616,988,785,038,659,091,866,
617,626,183,117,352,773,160,132,528,195,469,057,625,363,778,290,535,826,000,
642,981,375,243,342,068,184,469,046,408,677,513,622,400,231,599,132,723,632,
447,673,081,891,720,443,756,881,191,876,358,430,374,612,247,385,367,983,294,
573,389,098,569,998,665,257,151,219,311,974,223,906,979,708,176,292,033,118,
656,566,821,824,673,881,972,088,175,563,699,303,086,453,177,118,477,659,741,
911,379,102,292,970,721,906,338,895,045,220,882,323,926,467,956,813,421,651,
506,082,289,828,477,776,155,177,996,670,955,839,514,474,959,819,907,363,895,
499,715,523,445,121,945,296,328,767,955,745,668,993,338,370,049,962,731,329,
947,865,674,576,313,189,727,155,127,854,680,487,053,591,350,944,414,801,506,
885,063,118,272,703,034,676,288,040,944,317,832,739,732,740,542,533,541,934,
381,305,736,291,966,472,741,448,994,851,306,240,297,702,495,578,939,870,915,
310,602,916,527,350,713,756,437,138,035,103,726,678,433,234,407,380,851,783,
382,755,279,137,433,691,403,918,253,983,022,659,718,860,080,676,279,451,594,
968,961,401,688,152,269,630,873,125,793,694,437,224,248,297,733,241,184,441,
798,933,188,492,933,684,673,937,961,198,646,425,948,501,327,425,344,930,368,
893,499,040,871,967,010,244,865,624,067,211,415,560,715,751,356,802,468,682,
000,901,363,887,851,917,735,705,936,962,842,638,326,353,629,511,829,052,712,
081,564,265,516,250,431,957,760,816,575,558,649,550,010,084,245,123,647,882,
390,169,360,978,986,219,510,272,635,093,406,133,265,811,910,224,499,251,097,
520,419,277,351,110,691,475,052,190,598,321,730,775,570,888,567,720,617,399,
853,152,962,554,812,904,704,324,378,507,355,197,786,781,750,183,548,178,426,
736,740,263,345,414,483,823,968,604,957,320,312,481,334,959,240,011,256,270,
705,952,444,431,873,931,370,600,026,774,726,009,588,447,838,108,466,825,056,
087,650,280,101,939,376,793,960,131,028,993,884,010,518,217,911,460,305,785,
436,253,102,167,802,648,857,647,252,850,408,834,675,089,433,771,852,764,897,
528,401,315,245,757,474,916,518,372,096,069,188,039,593,316,697,746,108,221,
274,702,429,850,008,055,320,344,455,742,464,769,592,250,100,336,581,944,292,
946,904,028,581,571,541,567,370,236,626,638,124,318,724,182,252,301,262,720,
406,383,343,642,670,334,716,079,011,784,906,837,321,857,600,816,831,640,148,
262,095,112,225,507,995,070,577,930,001,935,598,076,962,056,375,624,846,473,
166,501,300,522,511,674,184,452,194,547,107,378,950,218,311,103,573,833,387,
814,933,343,068,536,260,607,778,454,251,650,143,250,196,788,152,622,847,073,
200,104,778,476,516,311,753,869,143,387,466,297,776,777,000,070,850,232,008,
313,289,221,189,971,839,069,739,335,126,921,839,095,062,268,067,690,350,006,
464,035,779,359,048,602,316,291,324,228,470,327,363,343,849,057,002,599,616,
940,114,388,034,637,486,510,872,824,405,261,981,780,454,976,590,743,246,414,
330,566,903,804,705,895,430,159,117,226,076,495,214,437,487,144,100,844,905,
983,056,965,920,515,813,752,818,139,751,035,721,815,148,357,393,032,706,055,
382,295,294,625,531,892,577,563,412,305,316,026,301,902,011,936,137,408,592,
641,448,558,590,244,897,364,641,881,517,362,323,196,693,468,430,866,263,441,
671,451,872,702,698,145,803,595,509,677,549,971,962,299,341,503,921,638,149,
964,306,704,597,184,089,408,722,732,210,271,822,634,968,650,257,613,211,814,
676,769,973,178,910,885,659,784,285,418,559,850,687,736,438,563,484,941,283,
876,132,794,128,927,865,244,467,996,885,530,596,636,599,384,360,165,368,803,
594,119,541,681,541,087,629,163,556,785,989,209,889,632,579,629,458,838,179,
695,603,410,924,149,913,852,580,552,576,275,925,967,332,685,964,790,522,174,
875,822,960,283,067,759,528,867,122,987,880,439,853,925,748,903,529,620,187,
656,691,801,376,202,201,253,391,578,695,430,725,099,322,998,540,225,739,267,
972,839,932,729,506,365,239,316,366,885,820,644,385,559,214,511,606,779,411,
945,064,789,105,438,161,281,871,419,871,425,564,880,372,182,120,205,383,646,
924,987,408,273,453,049,386,254,322,561,462,797,194,218,855,390,133,104,981,
807,990,688,043,360,597,083,172,468,149,791,928,682,916,564,980,164,898,728,
473,087,569,801,918,019,083,011,413,341,378,899,166,359,870,828,918,133,534,
040,522,273,230,431,939,626,721,887,430,498,812,469,809,445,294,654,025,751,
916,356,799,257,084,600,842,209,179,822,911,135,449,610,442,968,654,153,157,
824,778,470,511,455,794,064,940,746,814,450,797,909,723,429,204,205,148,177,
285,960,806,765,197,697,308,489,462,965,473,177,633,128,037,658,809,304,958,
342,815,288,689,365,355,577,309,679,745,547,245,189,365,497,165,688,113,804,
620,528,254,462,865,501,840,687,382,070,860,209,117,493,436,645,137,251,389,
994,082,428,080,078,529,002,373,399,560,119,476,307,516,481,501,084,166,364,
465,875,583,706,394,080,728,840,987,087,883,192,608,411,745,846,857,644,002,
713,280,012,474,835,157,381,871,804,346,614,530,969,307,189,425,445,153,804,
070,124,136,396,297,456,082,016,226,469,641,697,186,857,681,041,637,215,863,
277,702,361,384,640,997,572,258,267,381,743,275,922,646,993,245,798,736,354,
518,252,025,409,115,605,992,725,233,603,271,479,311,395,785,961,772,363,289,
846,292,774,153,294,047,566,908,491,173,380,295,446,143,301,292,425,361,674,
872,832,013,739,174,144,836,031,643,987,203,795,122,463,879,957,516,600,471,
781,428,899,356,597,751,488,959,628,848,579,452,763,393,634,510,331,932,332,
648,055,220,493,460,790,944,857,988,012,025,390,311,582,679,398,549,001,462,
468,590,783,788,369,580,761,642,739,444,060,800,761,707,835,001,120,513,727,
122,411,221,425,637,588,043,028,967,631,655,562,408,757,132,711,881,683,214,
568,729,316,498,634,114,994,066,636,105,722,710,114,676,240,932,539,034,302,
097,596,233,540,417,600,122,901,250,691,121,833,654,752,508,933,549,307,749,
788,685,210,739,588,930,843,460,355,690,976,027,699,185,325,915,895,016,029,
937,934,931,225,943,653,580,415,090,813,901,627,065,277,858,667,364,388,330,
036,758,659,929,096,558,365,539,649,161,007,986,390,688,771,444,236,961,144,
698,815,404,302,385,323,524,756,317,997,271,730,288,221,441,873,058,429,926,
664,897,650,921,769,111,298,772,228,619,894,784,568,121,133,814,410,779,821,
243,521,907,237,414,141,253,170,757,972,744,463,254,516,959,436,626,658,128,
556,690,546,778,973,359,320,465,124,887,505,935,939,263,075,630,697,690,012,
924,935,955,867,321,877,198,300,766,333,587,269,495,841,254,977,816,778,332,
576,975,384,815,486,242,591,391,843,536,935,904,239,673,756,459,609,362,244,
148,509,477,393,592,151,542,948,872,819,680,423,807,777,638,448,883,264,872,
836,119,374,811,467,536,973,745,209,387,111,783,198,093,293,275,529,136,883,
704,101,285,969,807,180,188,132,992,052,380,622,346,184,179,499,502,481,011,
648,117,048,798,361,873,905,002,745,412,342,974,560,134,832,334,740,637,411,
866,151,418,624,648,228,183,194,813,665,884,281,626,143,504,095,219,126,684,
802,465,780,626,648,393,579,609,313,345,475,744,332,072,189,881,843,978,476,
905,877,265,104,835,642,919,244,874,372,008,599,287,055,167,021,258,465,110,
291,022,289,240,951,573,695,824,367,027,668,892,159,935,768,115,685,619,779,
006,506,771,855,573,541,918,914,665,707,611,674,669,224,265,766,707,967,443,
139,076,879,437,218,947,057,847,699,287,512,468,377,867,544,666,632,510,359,
500,250,262,275,144,205,827,021,135,627,707,980,125,137,679,888,967,507,877,
219,774,261,065,288,420,792,669,312,621,736,487,573,646,759,470,336,637,674,
019,789,816,825,328,219,839,424,252,083,399,212,365,429,989,299,105,065,527,
661,038,545,259,000,769,545,378,055,368,647,808,296,793,932,570,455,462,927,
521,184,901,415,830,013,720,353,934,397,442,696,201,312,174,223,644,420,953,
052,326,354,413,139,762,666,171,950,115,287,681,199,507,818,942,919,191,348,
708,011,904,048,732,519,159,417,458,552,658,834,937,064,591,479,752,223,035,
710,098,071,521,983,701,030,328,407,325,426,771,987,887,666,106,643,367,054,
657,022,954,412,120,415,842,379,607,085,346,561,186,720,108,856,688,672,996,
257,483,615,163,704,005,706,529,289,647,414,216,021,313,267,007,809,799,968,
646,192,447,641,348,713,029,323,281,356,888,602,059,048,921,009,959,168,364,
452,763,679,018,077,346,369,795,539,839,316,063,691,336,357,008,593,025,819,
889,587,741,126,748,356,230,998,324,786,443,037,278,646,908,602,101,067,724,
204,916,408,734,347,155,904,345,791,016,135,244,300,906,195,639,318,239,680,
793,542,657,890,681,015,001,129,730,749,244,883,159,148,232,955,189,950,418,
664,721,758,522,984,324,737,502,077,827,620,102,114,658,757,991,299,354,632,
721,115,026,904,475,786,719,101,520,874,251,350,055,294,652,506,381,967,374,
616,274,289,361,578,842,824,961,524,252,626,527,615,698,966,144,731,141,780,
538,555,270,814,873,914,162,774,651,789,093,639,580,874,446,837,212,508,229,
216,910,578,518,097,018,785,332,063,232,160,849,427,907,806,537,927,527,373,
900,086,737,163,706,526,092,901,675,706,958,487,056,372,189,771,960,131,613,
305,575,254,786,578,890,943,052,216,458,453,212,645,848,936,124,499,404,027,
467,139,404,681,146,914,536,972,110,964,284,128,392,205,331,227,035,484,017,
738,611,181,604,585,692,018,112,136,617,589,672,473,920,573,449,034,238,975,
550,072,526,665,884,139,277,027,446,367,786,486,537,378,021,156,857,475,027,
568,196,207,646,629,294,489,217,094,348,262,131,311,738,871,914,424,611,544,
426,268,942,484,692,850,897,494,271,859,537,346,688,619,724,860,537,698,792,
875,496,857,998,427,372,391,418,596,635,449,090,615,949,671,192,232,387,128,
974,572,150,593,513,804,914,142,853,384,351,734,543,109,923,194,939,774,513,
632,962,677,895,375,655,834,006,295,703,965,487,064,412,186,622,812,287,237,
437,240,417,082,594,093,227,871,217,074,052,318,272,938,173,922,533,593,755,
974,798,166,359,417,069,324,745,679,578,253,552,193,072,478,329,412,856,583,
180,081,577,178,287,509,247,980,237,108,336,202,351,085,387,972,198,636,569,
886,455,175,489,172,041,257,114,664,914,621,180,768,152,635,551,709,102,491,
033,947,161,679,066,316,340,534,549,355,852,758,567,659,678,344,853,514,404,
647,407,984,439,831,865,305,203,227,109,624,591,761,028,264,473,638,380,597,
873,355,751,896,990,353,063,072,742,969,230,338,873,833,125,271,760,394,451,
020,534,363,131,769,952,944,984,284,895,743,922,808,652,913,589,982,533,985,
885,669,160,080,811,108,296,377,596,368,891,113,174,212,688,216,303,339,246,
856,463,728,558,101,319,878,303,926,642,375,965,702,244,405,242,992,354,054,
686,502,257,641,134,126,401,513,504,919,922,117,225,914,360,037,312,210,009,
525,716,928,351,946,340,624,413,807,811,618,532,889,232,430,686,515,472,710,
502,264,327,301,867,919,097,934,152,417,193,595,678,360,845,775,396,099,064,
081,797,474,310,324,825,160,648,083,018,790,470,342,091,061,121,586,902,562,
484,603,881,670,093,995,661,101,670,200,354,429,780,722,455,987,216,088,364,
789,854,963,749,880,514,977,948,935,976,057,428,923,585,922,516,056,998,258,
863,951,886,717,114,617,919,814,064,604,722,802,430,773,042,674,054,747,996,
091,242,555,237,963,970,422,294,144,381,107,886,543,457,974,009,564,144,128,
746,947,787,065,640,007,729,964,783,026,441,311,652,253,674,617,197,736,560,
019,951,417,901,567,342,570,295,418,483,213,743,415,124,437,875,956,503,593,
156,122,010,254,233,970,813,889,142,017,590,127,570,199,865,223,111,580,090,
449,682,603,498,418,525,315,733,106,575,771,799,720,589,825,422,596,286,703,
650,630,613,550,981,949,704,211,564,634,327,899,840,011,824,186,273,811,550,
821,055,722,298,064,160,191,903,688,993,094,703,129,417,588,472,448,712,844,
348,099,365,688,952,257,866,181,259,652,307,138,891,397,293,281,587,555,153,
306,716,804,186,879,614,090,111,799,858,083,344,698,995,580,347,874,362,980,
895,356,726,043,036,271,081,894,529,374,304,102,659,995,191,732,262,529,578,
092,737,247,496,470,758,795,500,337,421,143,350,165,934,662,151,435,849,482,
637,642,309,615,238,557,980,598,327,417,406,756,473,866,827,646,054,033,002,
933,324,016,258,894,479,086,381,364,632,030,320,572,221,445,354,299,243,710,
690,311,039,704,097,513,289,873,850,747,737,424,842,497,600,623,971,140,049,
856,489,520,818,108,987,446,262,267,339,750,052,535,928,083,789,134,137,071,
029,909,348,622,356,754,875,994,968,907,893,460,275,395,925,869,184,719,272,
971,653,064,835,900,521,744,765,685,776,369,997,960,408,838,977,736,939,844,
179,013,816,055,533,014,488,878,370,516,945,193,659,110,006,739,454,846,548,
492,983,265,724,270,603,539,391,481,888,472,802,054,459,742,181,377,035,686,
584,806,164,383,203,820,636,369,933,654,134,959,493,677,861,078,505,774,334,
003,788,846,978,083,016,441,599,512,681,948,877,356,012,453,818,546,246,311,
641,219,742,514,700,121,872,123,356,155,309,062,907,176,232,043,404,161,746,
038,315,721,122,269,311,364,384,105,812,540,144,603,154,567,103,933,910,150,
612,688,600,592,488,227,981,989,455,564,271,052,257,781,130,336,253,490,535,
237,100,211,207,693,046,236,323,936,648,931,497,939,161,138,181,924,504,989,
446,178,113,472,636,395,625,779,590,443,915,323,190,974,423,493,240,266,219,
590,262,326,994,681,710,834,704,434,453,694,748,720,083,119,707,779,292,493,
098,958,299,615,966,124,587,235,362,561,391,377,524,261,132,565,049,279,889,
949,508,967,976,820,599,481,794,583,284,874,995,186,508,177,498,589,608,738,
806,376,998,937,291,310,191,184,338,276,200,107,310,405,270,068,562,461,759,
094,575,910,048,130,333,261,573,759,700,558,021,680,733,671,648,486,520,618,
872,214,485,977,848,668,912,131,079,191,980,178,740,892,259,464,279,278,732,
671,484,094,710,027,140,705,797,019,376,012,700,601,376,102,274,798,766,725,
811,463,706,334,326,759,748,396,246,780,708,111,050,326,688,361,232,094,548,
440,398,885,824,132,185,202,982,416,371,429,029,696,586,221,643,244,577,292,
063,979,706,002,487,155,807,753,924,819,209,792,321,914,604,669,995,858,855,
834,354,082,919,680,293,358,250,275,080,302,362,414,327,843,664,746,373,450,
160,114,648,792,988,331,238,064,139,401,594,646,789,756,416,704,841,732,263,
832,189,149,496,757,811,550,987,883,966,199,995,994,895,817,423,949,579,588,
092,296,474,642,867,970,939,704,049,941,881,397,484,415,137,768,952,456,854,
524,898,692,711,845,626,597,723,479,096,581,317,480,405,305,861,481,929,609,
481,844,230,779,125,342,789,323,517,367,235,492,207,230,177,901,137,016,503,
734,780,326,878,264,794,348,203,330,316,350,570,279,699,158,966,404,194,294,
878,294,566,667,228,090,479,550,203,452,230,720,804,154,670,185,404,673,195,
135,153,964,201,766,548,486,152,331,552,555,039,819,289,325,267,336,694,686,
631,093,351,581,531,830,959,981,513,952,887,321,639,917,838,326,795,604,660,
321,355,105,228,230,302,944,964,138,756,033,753,299,103,353,961,369,899,909,
371,460,063,735,595,748,200,307,914,584,403,127,966,250,009,325,026,623,544,
467,049,372,925,390,147,062,339,780,002,155,553,142,948,540,768,242,805,104,
283,296,103,712,768,494,478,328,950,785,021,736,477,729,514,652,459,740,517,
249,312,901,893,581,995,332,617,065,208,383,300,904,135,985,018,869,362,710,
484,866,338,363,372,122,130,626,485,713,920,766,875,094,155,259,853,874,803,
890,747,842,423,241,182,472,670,417,785,735,772,827,258,242,013,049,959,311,
692,283,748,678,959,599,577,462,951,221,792,067,687,536,536,032,494,960,706,
843,404,171,286,880,164,709,387,415,796,673,220,075,196,268,219,267,412,767,
608,692,399,889,381,987,858,435,502,343,718,847,318,940,735,518,704,206,108,
087,538,276,251,229,539,874,159,915,654,244,841,826,574,136,563,310,352,402,
918,421,633,162,153,211,103,999,452,508,659,601,717,232,284,876,986,499,012,
990,337,278,262,066,023,111,793,647,607,667,223,979,171,615,633,240,892,928,
085,612,603,521,493,057,642,625,617,136,405,976,689,564,056,687,508,941,200,
217,026,651,056,788,868,395,390,966,700,125,971,491,402,503,087,339,893,806,
449,850,432,290,335,687,663,782,082,021,688,625,997,076,881,631,009,219,647,
143,443,899,485,258,707,940,771,107,752,952,824,661,565,941,769,520,644,462,
281,172,990,562,329,768,138,321,752,952,009,815,847,826,285,383,820,735,121,
577,004,858,437,688,274,173,422,185,811,635,389,927,192,704,627,936,385,088,
597,905,195,901,272,964,695,132,300,723,691,825,945,816,583,005,776,049,843,
413,806,517,793,473,620,420,832,638,704,829,906,334,845,962,864,484,887,174,
151,821,604,145,945,915,920,361,861,953,052,199,164,538,825,869,038,190,450,
229,379,313,953,678,487,949,276,787,017,253,539,387,138,364,121,008,869,211,
778,514,793,229,430,752,481,123,217,996,725,276,914,628,458,569,312,262,430,
149,452,876,774,607,766,698,514,890,718,755,922,722,177,637,866,304,016,464,
405,087,939,131,702,583,150,846,860,955,458,790,666,359,417,899,279,991,542,
239,310,861,219,586,495,143,077,935,142,311,675,389,537,292,788,130,869,936,
664,593,440,627,212,619,412,449,479,992,077,003,824,919,604,143,347,853,537,
114,225,887,385,661,569,681,535,585,549,287,570,059,016,703,862,710,864,091,
905,548,138,698,497,086,319,271,829,555,223,274,103,253,180,381,687,411,222,
608,824,849,542,056,225,909,024,464,218,153,384,796,837,322,023,435,771,817,
065,325,098,698,872,633,182,747,894,976,683,827,188,374,149,246,289,876,024,
392,706,511,228,952,597,970,488,408,118,770,808,963,810,222,158,604,713,132,
644,039,931,672,967,622,682,860,073,423,584,906,760,606,958,298,455,241,658,
741,180,393,883,717,457,258,733,860,777,267,125,920,695,627,353,177,637,616,
445,724,741,736,082,964,658,647,881,215,649,850,085,004,565,807,876,101,092,
646,394,184,258,773,317,336,979,534,826,654,176,391,163,378,294,683,895,194,
192,725,412,541,705,414,218,912,812,084,703,655,127,019,537,548,257,705,999,
457,017,872,603,953,007,853,089,078,239,167,074,702,036,893,379,806,091,885,
758,791,069,496,903,403,024,283,932,915,133,331,444,505,893,351,468,718,738,
802,868,455,342,153,573,036,149,536,157,048,442,214,762,192,375,284,421,244,
528,289,434,046,765,115,138,378,697,761,740,280,961,336,092,840,773,390,297,
290,190,114,491,104,614,128,155,805,213,120,063,388,518,191,538,875,476,473,
858,998,749,910,353,442,998,307,582,916,447,470,873,276,660,699,323,408,830,
975,191,772,181,081,369,839,727,690,863,543,902,359,775,335,258,486,415,037,
190,148,613,084,087,472,317,748,104,053,841,396,754,851,739,676,435,324,480,
646,588,514,107,096,320,638,194,881,395,007,049,113,562,283,942,914,210,617,
520,631,480,846,154,838,639,027,968,478,375,346,466,413,857,687,081,583,274,
612,319,188,758,246,276,143,770,580,354,754,236,896,939,044,143,753,019,096,
751,489,506,973,327,737,757,849,454,414,323,604,874,001,168,632,436,573,153,
535,273,966,667,898,561,915,950,972,700,952,204,223,299,767,847,858,824,739,
470,135,831,121,970,669,780,633,123,580,212,803,334,501,199,146,535,019,004,
287,547,583,894,480,286,147,546,502,865,443,331,984,345,987,738,824,901,065,
924,093,619,959,665,929,811,588,442,945,893,156,917,486,407,682,868,631,109,
541,370,262,056,499,871,799,865,727,946,331,083,453,898,639,451,064,616,664,
617,906,420,517,342,347,389,214,308,421,307,450,356,203,575,328,039,920,796,
245,761,574,265,391,050,894,981,776,954,348,135,264,407,555,617,437,308,472,
997,807,617,765,607,614,091,103,539,368,113,682,422,687,775,285,915,903,944,
397,524,033,270,120,585,548,099,036,972,506,557,692,213,610,989,064,856,673,
699,587,877,380,308,230,150,217,866,232,891,556,963,370,844,124,916,829,712,
236,989,968,943,379,931,481,882,780,732,470,767,253,101,426,113,250,341,377,
552,266,455,229,403,531,077,002,627,967,091,706,019,226,556,818,724,942,904,
727,960,275,802,804,748,275,119,808,989,325,027,239,693,983,516,583,359,156,
466,672,936,115,321,598,810,476,322,846,492,618,650,005,651,135,659,340,990,
090,540,761,131,330,147,081,776,617,177,370,539,069,752,722,151,890,596,159,
633,050,575,151,796,221,873,841,957,321,356,309,074,002,237,619,663,085,188,
539,598,313,517,896,047,739,671,048,021,383,639,952,359,002,931,628,410,189,
684,126,630,039,978,690,637,677,021,066,882,734,200,503,027,180,892,661,360,
098,746,311,148,588,225,993,074,432,404,602,001,918,793,364,941,079,230,155,
192,042,680,392,708,344,332,397,136,611,553,326,800,136,621,437,797,866,726,
845,586,150,542,937,472,979,171,282,837,136,752,592,045,025,592,225,037,008,
361,075,373,293,378,231,362,166,333,585,337,618,129,767,389,075,046,698,463,
801,744,367,260,388,082,447,592,733,904,063,620,637,187,949,234,235,660,250,
440,168,284,190,522,206,220,681,407,357,792,598,341,582,668,494,785,408,892,
191,557,945,997,137,027,958,807,004,047,432,693,969,468,340,515,208,535,679,
259,483,414,374,369,483,654,125,129,055,503,665,262,698,364,783,544,884,234,
116,505,870,602,232,690,759,065,788,975,228,468,089,330,685,041,816,369,039,
257,260,727,773,908,572,554,515,669,986,059,155,713,061,672,292,743,600,230,
806,087,595,736,318,856,780,558,732,565,557,187,143,186,032,490,228,832,221,
140,260,741,003,674,074,894,587,033,829,498,678,693,774,636,954,725,107,763,
591,760,848,018,466,495,790,532,993,724,289,590,687,073,188,327,236,860,372,
368,689,534,864,043,705,172,222,056,672,923,045,563,195,484,458,554,697,809,
781,131,225,133,964,632,512,426,088,843,475,267,180,290,757,920,424,142,992,
981,889,023,356,578,625,517,145,619,806,244,905,444,791,810,770,164,566,922,
601,339,600,237,672,984,549,577,144,254,403,611,013,734,275,594,250,380,904,
183,979,626,041,033,160,651,089,258,195,771,065,396,666,485,595,540,549,757,
343,966,221,672,352,372,390,682,677,463,603,009,383,034,785,226,078,661,093,
025,074,713,163,364,339,698,858,203,936,228,359,801,141,895,063,158,197,514,
524,944,713,868,180,397,647,612,865,173,257,940,912,154,454,826,990,939,646,
724,932,859,983,773,882,109,906,351,138,405,072,178,200,575,907,286,996,182,
178,495,551,789,898,245,531,369,595,232,810,866,935,125,536,638,110,385,979,
880,050,915,249,548,873,298,372,840,286,084,641,807,342,299,934,542,581,206,
111,188,822,325,686,906,925,403,342,408,172,874,238,142,196,899,133,216,066,
172,983,626,695,274,702,040,860,260,728,413,368,716,402,480,273,678,261,297,
213,325,643,684,033,847,078,077,421,251,937,796,232,795,790,884,758,596,658,
589,430,435,442,184,295,960,587,255,088,756,601,486,246,250,049,696,955,456,
478,860,011,633,886,392,224,796,033,001,982,729,156,079,530,820,463,746,540,
956,611,116,398,875,277,477,376,645,693,992,388,482,782,147,368,679,231,167,
749,208,988,208,358,349,806,313,281,001,806,615,391,572,689,176,032,817,151,
585,562,405,742,994,920,377,790,075,751,871,098,220,528,051,707,711,011,883,
225,944,292,795,887,255,948,728,563,900,820,582,481,726,204,139,732,832,496,
828,337,081,977,110,295,016,305,708,526,568,991,473,530,597,163,362,307,659,
969,585,123,736,989,051,503,754,742,402,698,123,800,456,497,986,337,511,407,
934,940,213,064,762,073,996,902,850,399,014,629,293,999,273,599,005,586,639,
471,642,789,794,549,891,330,119,327,248,687,248,284,034,096,153,583,826,006,
096,261,132,695,311,533,151,979,843,945,172,209,535,011,238,795,496,670,473,
325,441,755,589,913,020,134,882,297,145,290,138,877,526,046,425,698,463,025,
428,438,116,697,197,474,924,138,199,992,332,785,315,717,667,529,505,289,330,
913,910,938,095,023,302,000,942,071,779,572,432,062,970,331,063,961,029,816,
425,808,577,914,740,607,502,007,150,967,740,078,418,722,271,036,918,999,642,
886,740,892,944,346,707,725,273,606,097,036,118,654,830,178,833,632,343,651,
504,721,830,539,420,558,061,904,515,549,015,698,890,011,337,675,385,964,864,
539,630,528,980,855,418,998,471,757,052,598,619,866,784,924,485,031,781,081,
843,950,111,797,700,402,337,401,324,187,756,362,192,774,598,481,659,245,013,
377,839,249,917,262,648,199,110,580,366,853,579,387,351,096,873,244,058,333,
830,227,906,704,484,728,719,116,482,063,723,169,743,849,163,986,796,603,004,
058,078,205,818,102,616,171,036,403,690,161,444,025,861,528,461,558,362,385,
127,696,666,658,665,345,337,644,764,331,737,885,434,205,507,271,058,666,651,
446,209,688,367,872,870,737,924,872,994,243,617,608,049,239,715,081,958,240,
507,266,232,157,365,551,872,376,992,436,163,061,383,835,213,872,137,311,022,
076,032,050,889,180,160,637,341,984,105,560,073,195,893,315,679,123,015,164,
862,190,233,177,026,227,526,657,335,468,633,536,009,071,808,030,580,855,776,
523,133,117,204,498,819,068,762,944,103,223,395,861,208,203,544,577,175,183,
768,527,209,544,403,955,366,941,352,695,823,128,420,794,466,325,576,454,829,
666,537,509,199,856,297,210,562,689,064,079,524,156,199,334,728,568,521,491,
842,318,270,292,428,877,166,237,519,403,709,333,709,759,283,447,966,555,974,
527,859,360,828,670,008,966,249,719,671,171,454,589,798,620,302,355,278,433,
131,060,859,874,410,371,467,873,519,473,696,594,200,795,674,465,488,775,360,
820,759,670,290,778,438,939,743,186,558,891,733,119,051,250,467,458,738,169,
337,201,267,296,935,218,432,367,873,069,283,397,892,956,939,255,382,513,316,
449,899,435,798,773,390,352,053,819,595,607,479,893,209,965,190,003,497,207,
324,457,518,619,413,180,422,663,140,509,968,517,526,566,847,483,782,644,232,
137,912,514,970,456,606,451,546,169,748,024,932,632,737,525,732,020,472,908,
092,821,879,801,338,954,612,280,343,987,022,779,335,288,556,337,172,916,769,
487,650,055,086,938,363,600,997,786,684,075,967,413,033,281,259,641,247,025,
122,644,027,253,168,731,354,183,025,675,672,700,324,739,765,997,784,252,845,
992,236,525,567,744,105,861,884,555,038,395,435,133,857,315,802,294,366,724,
474,064,877,594,579,089,410,373,437,693,584,869,593,936,030,036,343,003,943,
171,617,424,586,191,701,211,089,391,229,590,272,776,777,122,718,333,753,487,
555,996,385,248,818,743,586,006,401,036,484,406,543,354,381,179,508,970,713,
943,401,073,736,670,819,924,267,420,891,763,962,303,722,670,535,993,158,387,
728,116,232,434,359,219,994,356,740,877,171,899,006,928,885,787,666,355,941,
468,469,268,683,886,485,530,763,220,264,498,343,510,325,223,974,902,091,780,
780,375,210,207,230,646,111,188,311,280,684,526,817,343,554,859,175,143,618,
915,368,892,490,132,113,809,998,852,883,187,366,197,683,860,770,382,314,114,
346,892,529,482,460,225,219,077,277,762,792,338,075,923,585,069,525,867,805,
624,420,308,195,969,083,328,468,634,327,659,157,130,741,732,323,397,959,155,
297,576,040,383,219,962,781,615,783,938,599,301,761,748,701,479,824,530,676,
885,141,567,920,233,703,303,069,890,020,808,204,496,710,358,999,099,596,402,
647,805,778,156,212,754,859,890,663,041,454,308,879,712,896,372,738,407,504,
178,548,699,526,918,269,150,418,848,331,372,016,664,339,335,990,758,094,476,
914,830,538,532,695,535,992,236,533,099,762,904,853,627,315,561,675,400,828,
117,023,075,315,538,016,231,304,521,928,279,435,139,434,632,134,207,441,772,
802,609,939,048,454,587,180,405,917,194,862,676,634,543,670,554,111,994,792,
793,867,393,541,726,579,456,648,438,512,284,095,672,573,512,238,310,285,474,
386,855,704,041,114,754,726,736,314,979,121,056,144,888,268,727,127,397,307,
744,910,981,863,926,382,096,234,283,947,904,557,585,591,466,631,200,545,690,
466,785,977,123,608,336,779,984,723,511,430,940,429,356,168,815,488,872,856,
943,074,657,713,022,232,250,853,678,579,620,110,014,741,031,182,354,846,324,
187,686,798,646,556,166,592,076,307,178,653,044,035,120,698,340,973,564,115,
044,107,096,444,127,008,454,062,564,056,783,684,761,968,376,428,562,368,060,
539,622,325,358,488,542,045,638,852,031,673,020,639,994,834,550,338,584,761,
437,431,897,796,622,062,684,380,058,591,288,688,941,028,776,101,942,288,159,
868,413,243,353,763,377,940,616,041,657,814,886,491,376,947,854,787,689,897,
106,276,904,074,968,749,448,562,832,669,667,803,795,326,108,210,995,453,848,
295,586,526,707,021,801,872,586,634,054,243,074,443,967,297,902,832,859,313,
619,938,038,378,530,347,374,750,477,235,658,979,905,676,861,192,002,181,111,
357,816,339,828,765,233,982,472,876,342,884,651,679,747,509,063,905,506,180,
745,378,616,843,698,268,267,007,594,512,251,474,704,475,616,112,995,739,880,
909,190,635,693,238,539,327,703,923,469,703,348,477,603,337,002,988,904,126,
319,167,210,957,451,067,429,270,007,136,073,422,755,063,650,060,205,991,068,
751,470,322,314,576,578,640,250,498,734,819,787,798,114,808,715,963,401,077,
979,351,241,704,833,389,279,624,357,785,362,224,815,164,828,340,756,080,226,
688,138,066,310,504,371,072,327,710,082,733,516,821,367,368,477,231,612,109,
066,390,575,934,122,952,649,944,015,418,040,836,221,389,927,794,802,707,144,
129,371,419,750,458,250,257,951,580,565,966,998,982,648,510,021,773,936,780,
615,823,626,503,389,370,035,500,615,447,285,528,223,096,627,755,972,468,026,
624,914,803,146,778,890,550,658,703,384,682,102,095,754,419,876,593,305,506,
551,372,699,508,889,694,659,466,203,523,728,708,434,374,927,573,926,943,371,
902,674,565,132,941,438,798,483,384,614,225,127,099,266,334,526,854,520,480,
848,874,677,235,429,052,638,265,382,584,408,618,638,525,400,449,396,162,186,
126,365,591,633,575,651,975,448,900,628,644,860,345,976,057,115,288,632,590,
353,546,047,515,226,615,480,383,290,789,482,036,293,601,911,989,507,053,974,
961,735,542,939,139,325,934,947,585,815,275,121,166,880,326,208,567,860,331,
478,806,620,259,990,279,222,548,119,379,754,046,304,702,010,440,484,216,044,
305,015,937,372,337,064,120,699,931,780,567,122,849,678,204,667,720,053,552,
144,454,950,117,938,152,789,800,851,536,122,063,615,671,654,861,353,186,356,
050,522,970,826,794,280,022,335,669,417,016,605,273,887,288,645,755,904,311,
895,747,127,961,817,083,269,464,829,075,173,770,434,848,880,485,533,039,220,
398,304,507,963,687,133,255,734,468,590,404,486,753,851,694,891,465,451,756,
207,262,225,089,388,298,172,832,840,317,900,397,941,490,937,709,175,411,709,
966,926,934,310,530,572,849,727,382,133,648,657,030,314,558,677,957,567,894,
763,108,494,420,587,173,633,796,267,494,347,921,186,476,330,441,743,883,973,
918,056,001,946,200,248,850,814,606,328,256,452,123,185,008,194,377,591,120,
978,425,954,552,392,854,914,689,871,862,595,511,150,901,569,776,952,827,195,
233,497,374,238,182,569,636,597,683,646,377,531,913,750,470,200,244,213,873,
802,813,398,881,315,190,494,728,809,458,513,394,544,091,641,522,056,882,494,
977,282,846,352,776,543,497,134,622,988,728,491,529,357,978,604,198,871,814,
932,464,119,544,795,930,979,941,416,468,753,838,792,174,026,180,642,780,905,
671,222,201,649,519,188,388,997,062,054,179,256,696,772,934,585,166,570,240,
802,145,530,157,702,029,914,216,818,690,718,653,513,472,256,621,540,748,023,
171,726,330,358,492,522,219,581,512,789,798,001,982,803,876,559,849,531,569,
697,409,924,226,689,077,494,318,632,320,888,949,916,591,867,979,134,675,865,
221,853,416,710,716,366,365,681,208,562,802,354,811,306,626,999,355,880,277,
402,170,759,920,833,028,868,535,942,142,753,340,777,259,976,274,387,457,108,
671,408,790,377,145,272,840,175,408,713,141,360,292,730,171,373,123,330,501,
168,015,296,896,249,831,315,539,007,128,356,671,983,078,645,152,417,858,361,
168,983,229,740,863,818,500,799,794,595,013,787,692,311,751,308,855,947,617,
209,094,372,059,184,176,028,525,145,310,993,493,097,475,205,983,989,891,962,
225,914,266,669,317,821,298,529,993,098,125,657,995,539,369,771,361,295,137,
894,390,563,657,369,875,267,996,547,513,393,037,490,182,168,552,182,862,436,
386,122,113,276,700,448,794,180,614,332,133,871,739,320,241,497,312,149,891,
003,181,506,889,497,521,490,555,156,132,083,910,538,121,586,748,213,895,633,
761,389,744,401,438,302,945,211,048,879,148,711,262,686,441,142,944,415,441,
831,450,426,121,643,966,615,324,266,567,887,724,581,876,709,947,740,691,421,
271,464,927,349,932,476,618,425,469,105,293,680,143,369,835,817,796,611,069,
537,234,874,294,820,252,142,497,599,465,115,519,028,859,575,533,686,329,263,
156,522,386,475,484,595,468,386,808,960,150,709,454,251,129,072,144,295,341,
068,259,308,681,465,811,023,940,971,515,642,146,167,418,606,836,606,259,920,
945,559,568,511,054,205,978,724,226,678,153,872,499,807,025,487,701,068,204,
036,145,762,630,719,288,324,151,512,521,739,828,085,965,010,388,881,544,676,
301,170,154,042,233,917,283,877,761,399,455,316,072,339,430,311,647,929,583,
153,248,047,441,898,174,578,024,068,479,672,004,430,262,648,927,249,495,997,
289,317,974,293,732,390,558,232,516,366,019,879,312,579,925,956,327,534,312,
668,386,051,538,369,888,394,410,374,595,395,958,622,858,389,042,185,773,067,
140,832,619,528,624,425,548,844,364,720,291,289,468,787,658,887,510,330,775,
597,193,509,882,168,614,900,897,004,796,064,532,978,682,816,951,796,591,308,
340,419,879,566,348,377,452,292,709,677,978,055,003,113,651,487,737,923,388,
364,604,133,957,678,281,051,648,372,001,900,528,899,548,307,348,994,261,937,
412,955,450,799,966,781,698,332,203,661,816,037,929,664,900,271,285,221,645,
319,252,066,803,516,538,595,255,985,043,058,154,234,971,549,825,585,901,079,
347,262,235,481,544,312,574,487,002,554,495,240,565,077,460,246,467,909,780,
577,711,229,436,630,352,783,644,537,367,719,671,928,297,465,984,153,829,461,
475,336,701,749,668,943,227,029,627,703,860,214,847,402,955,467,022,910,791,
456,526,805,611,293,390,292,180,666,008,990,004,818,027,263,883,555,180,776,
267,049,404,967,804,842,140,296,151,130,911,102,820,244,725,764,244,773,353,
255,725,105,895,171,001,555,785,698,351,050,429,317,041,602,264,413,478,505,
380,696,094,191,731,462,706,143,909,941,257,446,349,935,737,353,737,247,672,
353,862,905,754,250,137,207,311,047,089,599,516,515,193,466,409,451,307,011,
174,435,593,025,115,931,605,777,597,786,332,696,197,312,480,188,525,708,885,
214,500,892,692,164,721,649,012,238,703,352,263,933,785,378,500,662,846,490,
861,118,123,711,091,819,715,538,000,721,502,435,281,018,921,275,770,222,022,
985,468,284,340,139,178,977,455,336,443,663,316,117,088,731,562,504,811,200,
115,240,715,489,814,476,138,789,623,285,592,960,271,300,164,597,735,939,539,
768,230,525,155,927,881,524,082,117,638,437,889,892,752,860,461,903,869,991,
695,146,645,607,211,672,328,845,656,526,249,622,929,700,132,136,417,584,035,
636,277,927,816,979,440,102,269,955,042,087,892,316,885,331,696,781,693,917,
309,157,040,075,343,095,693,347,906,024,360,760,597,888,421,665,938,272,411,
897,025,179,284,867,039,895,343,325,329,001,169,882,254,471,003,270,260,959,
238,705,982,579,689,628,183,173,925,496,207,550,347,530,518,089,741,988,873,
034,718,027,306,868,603,644,318,810,300,977,931,044,981,065,437,232,306,472,
450,939,384,126,847,045,764,738,957,991,838,146,885,127,713,080,839,522,374,
290,184,083,700,424,383,577,991,297,277,338,743,444,632,608,804,244,278,062,
422,522,497,269,716,704,006,143,531,271,566,242,235,680,563,305,996,398,244,
897,185,969,704,922,231,142,342,230,130,818,947,360,472,889,512,805,534,352,
775,061,498,985,834,539,208,873,542,508,898,427,489,236,372,693,844,307,532,
448,990,052,620,644,489,119,863,242,780,193,109,480,908,466,773,638,604,072,
550,237,528,990,830,176,385,330,368,940,399,207,276,066,524,507,893,225,700,
677,235,029,015,109,161,166,616,830,446,242,200,756,934,863,908,760,691,268,
630,190,967,929,144,636,434,450,415,905,294,367,752,878,469,069,194,769,233,
008,140,593,244,708,514,831,155,791,579,477,359,668,327,528,326,849,424,591,
700,558,847,338,804,292,900,749,488,087,375,013,951,850,226,195,200,897,340,
362,225,138,090,820,978,218,681,244,533,304,720,539,862,655,332,260,988,976,
960,678,001,143,632,666,682,182,372,181,752,157,516,367,577,624,285,941,873,
406,634,224,068,780,140,169,298,237,101,538,501,937,919,552,376,418,805,920,
732,847,675,050,248,712,314,243,612,649,199,480,987,861,808,527,429,844,538,
915,386,613,582,060,684,853,045,747,808,372,027,812,120,287,720,652,060,903,
670,820,853,440,514,660,333,317,343,984,224,649,365,711,806,890,462,357,966,
449,016,127,669,010,301,221,592,251,278,865,664,214,169,155,341,388,139,938,
230,046,948,512,738,104,589,871,975,771,774,595,321,296,813,747,651,230,234,
617,413,141,177,863,452,520,161,939,133,643,410,223,342,548,042,005,619,484,
756,911,224,991,879,896,571,200,074,206,981,719,420,292,879,407,821,139,415,
846,716,755,215,751,369,183,852,445,339,479,398,159,964,186,831,807,951,281,
761,125,196,001,700,007,086,683,588,916,885,725,674,842,504,948,036,011,323,
119,365,045,324,256,806,563,924,281,059,526,205,696,861,224,176,175,236,123,
989,282,921,765,977,446,948,833,404,387,667,106,136,848,789,856,935,899,972,
482,328,390,642,160,024,065,878,874,425,768,486,231,860,793,028,439,741,453,
489,561,290,492,715,881,342,033,798,444,428,169,690,525,305,473,043,721,682,
304,852,311,669,473,294,613,453,140,260,523,287,981,519,873,660,726,969,361,
085,384,967,177,247,794,826,487,833,558,997,514,865,465,223,594,411,535,813,
712,773,648,765,304,808,081,164,641,517,008,667,192,367,660,778,773,272,873,
279,332,200,110,421,460,691,923,901,175,308,392,106,073,230,716,296,294,488,
202,275,075,344,480,332,071,103,839,392,369,215,868,387,309,094,646,581,415,
097,138,505,711,047,659,243,976,164,712,726,534,740,672,642,491,724,718,714,
162,668,727,152,675,617,282,782,728,160,975,714,358,374,280,703,014,777,974,
445,905,521,292,143,516,424,405,219,486,325,662,140,364,724,607,337,188,155,
648,952,949,292,468,287,021,169,644,479,948,390,094,996,258,020,187,181,335,
305,588,243,409,955,816,913,061,857,389,832,328,579,514,543,280,502,156,867,
946,372,310,392,924,995,334,856,358,624,865,606,906,497,230,198,728,366,757,
243,916,767,793,912,751,211,047,914,275,742,840,794,431,132,782,031,917,413,
971,194,561,813,398,380,480,320,467,994,518,998,024,200,253,006,777,387,320,
476,931,010,856,057,170,853,749,661,944,814,054,730,622,341,472,937,688,077,
373,143,253,206,266,325,907,665,433,433,268,459,782,942,935,917,620,545,527,
892,496,620,616,008,281,462,201,429,301,334,307,173,166,079,606,823,912,059,
214,331,167,128,455,930,129,244,994,152,665,278,341,277,579,926,453,501,229,
866,096,179,023,186,577,285,641,825,462,262,201,099,300,436,468,160,159,226,
273,153,804,222,859,481,519,574,021,753,913,032,252,564,082,918,063,390,054,
178,087,545,988,441,839,703,851,626,926,773,217,911,339,507,553,016,672,547,
477,801,838,781,502,870,574,539,275,072,400,218,373,204,112,462,520,478,194,
005,088,264,611,290,399,273,497,695,198,405,736,980,381,543,443,241,016,124,
108,988,997,278,914,482,564,730,593,798,318,880,027,499,970,049,544,071,924,
709,082,255,527,500,268,259,832,182,609,401,588,490,186,058,235,977,038,026,
914,342,591,958,638,148,267,678,237,373,214,776,994,690,360,740,106,119,215,
568,852,939,183,203,746,834,436,139,408,782,320,515,899,226,168,776,729,350,
516,226,415,890,390,575,931,051,218,621,614,920,745,773,842,908,484,246,762,
820,537,367,803,338,559,012,511,120,128,858,545,652,171,191,680,999,171,699,
391,130,783,303,593,548,703,686,172,604,300,981,299,299,927,341,413,756,712,
669,660,234,396,616,610,532,358,872,165,166,085,332,330,798,736,177,488,538,
151,144,205,100,669,796,631,050,159,358,537,770,639,082,489,863,493,647,409,
175,355,873,382,225,802,832,372,213,224,947,275,028,950,242,735,119,216,804,
015,001,942,230,647,170,371,220,614,701,439,204,868,200,201,054,282,356,036,
484,073,461,559,576,081,486,026,285,825,411,126,706,278,521,863,892,411,363,
439,378,943,236,328,357,505,036,357,504,459,908,253,274,282,713,732,273,289,
501,062,491,217,860,980,706,717,066,267,550,656,255,487,480,058,995,419,489,
244,366,997,440,242,453,800,865,898,752,371,637,803,476,665,477,420,367,875,
380,029,217,943,373,445,870,045,936,013,961,827,151,381,587,674,328,400,299,
927,816,909,367,352,212,186,693,933,702,044,845,740,171,053,733,601,251,156,
396,630,609,199,882,611,793,327,819,313,879,914,824,532,334,554,160,093,690,
255,923,865,497,680,755,121,597,666,376,114,696,578,411,293,283,264,787,330,
579,332,542,897,421,654,270,813,831,756,855,354,663,366,854,978,122,505,760,
662,565,886,750,390,443,810,167,549,516,762,868,564,767,720,916,274,377,210,
978,750,948,498,991,239,351,919,986,747,951,224,313,533,857,323,432,432,390,
059,580,371,688,025,887,474,425,380,616,818,366,786,313,714,346,161,798,799,
889,187,023,794,296,506,044,707,919,523,437,146,039,902,083,480,723,924,449,
571,524,788,523,135,482,401,790,207,143,811,864,311,557,845,801,344,632,438,
891,033,261,431,886,034,490,511,778,388,306,846,759,829,216,794,665,447,106,
142,243,159,333,909,153,053,690,001,571,816,273,274,368,756,785,286,744,163,
781,115,092,710,851,543,522,187,233,637,991,158,937,663,587,575,182,584,873,
117,930,771,380,152,230,929,386,518,568,656,699,867,302,807,000,055,197,429,
062,202,566,221,792,279,259,622,021,668,169,646,445,345,580,227,595,825,593,
606,439,010,637,231,790,086,110,694,667,805,911,802,627,865,880,120,893,706,
038,410,436,734,168,992,803,031,944,139,059,565,338,461,797,516,033,024,102,
378,825,623,769,146,552,469,342,077,992,043,361,975,435,607,196,965,404,898,
020,915,329,799,479,256,868,282,756,585,602,450,374,740,564,035,786,253,464,
586,523,912,590,952,912,890,007,595,020,171,288,764,458,346,287,532,697,210,
332,503,302,433,621,121,874,529,659,190,844,392,473,954,064,978,428,694,182,
992,673,362,921,383,799,329,824,418,801,791,501,503,657,296,913,883,508,298,
894,930,861,037,944,483,817,959,991,459,778,824,487,059,317,994,729,479,465,
707,163,005,120,882,545,278,329,543,275,699,626,278,929,566,076,597,028,914,
840,860,171,567,077,233,219,854,034,622,347,777,828,326,917,239,766,403,250,
858,592,792,570,946,451,110,774,542,034,158,349,716,181,738,315,014,206,407,
249,815,541,018,755,609,433,980,236,070,877,221,453,919,611,119,198,947,013,
411,043,814,258,021,211,915,867,577,669,093,444,425,910,781,405,220,121,486,
016,040,254,249,843,263,586,863,630,136,510,874,555,738,181,717,939,621,679,
073,935,216,419,357,727,712,390,499,893,279,943,066,888,797,288,478,800,792,
571,820,212,810,231,582,464,580,530,752,936,911,086,655,056,883,511,762,154,
345,640,832,266,173,897,752,720,015,744,555,653,536,915,725,332,945,458,002,
726,826,861,220,947,305,104,172,900,757,185,474,180,303,806,456,299,573,347,
400,599,211,248,590,256,092,930,688,471,125,721,335,358,729,609,247,419,685,
101,964,057,131,403,298,414,443,186,242,107,532,712,410,852,404,309,504,050,
962,202,805,188,789,341,989,412,449,021,251,051,646,220,338,221,701,176,034,
464,037,074,117,851,866,179,515,381,591,853,407,280,973,490,136,136,874,395,
828,417,545,128,738,248,471,732,684,586,377,863,155,829,721,804,708,869,589,
774,733,507,800,736,361,578,461,455,040,766,204,113,467,190,195,941,313,704,
233,094,568,228,981,877,236,271,048,841,774,638,710,687,180,781,642,975,686,
043,884,712,499,175,415,895,435,765,046,725,147,951,305,377,956,243,088,200,
610,407,773,750,761,436,657,084,917,289,417,582,988,209,989,161,224,524,874,
914,421,463,046,927,334,956,090,628,196,195,593,175,204,693,614,786,639,526,
642,414,237,891,386,701,043,510,649,853,358,385,003,059,982,901,934,541,990,
813,592,877,070,158,447,923,458,501,604,953,419,863,265,075,334,966,720,899,
339,268,587,450,633,141,541,030,533,441,288,989,175,095,652,643,940,314,296,
600,692,612,765,622,641,388,317,696,007,603,657,621,388,206,590,027,670,799,
255,844,631,817,018,066,167,145,102,544,354,454,059,831,838,229,618,658,490,
864,889,063,186,484,168,739,950,231,495,421,487,388,941,476,146,309,020,533,
634,717,581,211,110,900,643,418,327,191,692,020,523,310,737,352,825,186,028,
084,268,673,678,592,415,462,403,813,087,549,974,158,281,631,414,510,712,441,
802,347,645,441,241,253,402,000,667,214,862,904,067,223,960,575,393,605,356,
909,870,900,422,857,975,746,573,876,531,574,194,398,405,967,909,640,468,208,
000,696,746,320,650,508,675,619,929,931,763,243,299,562,487,956,371,308,158,
789,874,652,467,207,199,534,752,977,038,718,430,696,681,867,846,346,435,083,
036,857,063,018,788,104,422,963,908,722,571,718,257,484,853,713,980,249,916,
952,593,301,288,647,997,262,555,346,342,628,998,430,159,034,446,572,813,313,
643,568,388,770,882,962,518,966,582,811,369,465,944,225,905,697,990,350,461,
638,176,662,603,871,256,820,864,036,423,545,959,719,653,480,946,460,965,530,
864,838,234,401,317,719,499,853,835,476,532,373,017,964,377,188,657,621,912,
937,737,432,516,872,527,840,714,323,387,762,449,129,248,415,423,635,285,507,
239,303,507,111,763,837,136,156,721,747,477,131,470,932,709,950,683,218,493,
353,457,839,082,942,785,855,049,767,731,681,911,195,041,745,498,006,585,602,
362,309,199,099,824,705,566,378,998,286,729,103,847,859,425,595,676,482,994,
442,786,670,717,994,466,887,338,614,757,856,711,524,477,441,450,468,581,030,
243,490,484,128,104,401,505,361,191,773,339,855,233,045,735,006,004,783,180,
508,802,125,017,421,967,566,461,777,022,500,005,636,114,320,685,564,399,836,
291,742,132,435,795,356,587,773,085,532,890,843,635,044,589,703,809,650,211,
153,228,530,741,329,841,053,051,099,742,098,281,965,246,971,428,405,113,800,
861,949,538,905,775,531,569,556,668,944,703,952,474,270,834,289,978,311,708,
382,502,150,588,604,006,984,896,048,242,246,041,028,320,733,747,738,951,989,
882,169,178,031,948,083,190,235,185,377,829,464,714,425,961,270,113,480,565,
066,058,823,989,375,916,177,569,679,620,166,512,215,909,241,083,720,603,734,
114,723,003,916,410,209,746,882,345,281,929,875,002,296,039,241,391,593,273,
243,844,759,636,582,586,947,489,973,619,145,510,383,299,037,425,470,750,488,
819,377,303,227,849,396,623,071,204,484,860,966,553,334,479,313,611,633,042,
445,059,780,729,697,297,588,393,857,371,713,747,048,550,369,119,830,722,976,
599,149,319,340,811,399,876,924,139,579,960,308,483,303,270,543,700,433,370,
024,370,159,925,680,598,693,081,603,194,932,415,828,465,877,992,181,922,502,
796,567,810,667,305,114,404,588,827,006,923,585,559,622,088,830,224,324,667,
476,020,537,156,243,594,501,182,095,866,722,581,187,252,874,266,957,688,357,
342,044,936,468,467,983,254,428,909,371,233,720,174,419,490,071,998,607,913,
575,231,076,338,086,783,145,217,286,531,064,957,171,619,350,713,553,073,152,
185,035,439,652,064,203,055,210,816,190,563,662,610,280,936,444,018,187,373,
353,493,540,189,624,921,636,782,687,700,255,175,940,013,091,520,178,711,911,
595,453,746,490,418,006,217,764,023,851,802,578,929,014,270,240,356,291,250,
134,097,052,620,476,498,105,762,785,761,963,811,603,591,057,230,923,990,629,
648,105,293,946,080,854,310,703,234,954,981,021,566,447,050,859,850,700,058,
404,816,168,519,389,863,935,840,697,553,280,067,927,127,543,718,607,456,170,
171,953,539,090,066,660,625,954,617,023,874,017,622,964,425,276,564,979,867,
756,852,256,144,639,759,545,783,959,328,311,467,783,824,134,269,341,964,953,
572,133,433,721,388,040,069,864,940,086,486,905,353,867,688,294,982,234,454,
109,327,229,401,758,981,073,631,603,936,154,557,685,036,422,534,008,197,304,
792,600,718,037,676,596,826,835,661,337,769,342,923,599,039,591,841,711,083,
116,090,590,930,476,677,212,534,874,716,758,567,216,262,516,037,163,803,671,
152,812,169,724,228,431,861,412,678,134,019,883,802,004,808,002,421,484,347,
230,334,567,065,273,869,450,217,409,208,470,980,493,695,459,893,503,373,522,
552,936,901,762,024,348,388,676,740,558,372,196,929,251,799,568,908,385,132,
423,187,909,809,528,262,336,631,234,155,310,868,101,805,083,196,738,153,802,
442,822,998,124,896,599,417,654,679,481,858,249,266,853,775,306,881,497,336,
390,895,900,267,065,520,224,263,264,769,552,528,521,249,350,186,416,064,467,
220,054,911,926,134,727,622,540,135,936,566,727,358,797,441,421,491,443,401,
422,627,267,098,683,905,695,801,091,507,887,329,921,890,197,854,702,890,616,
207,749,451,026,373,496,882,190,171,273,902,727,369,827,012,195,238,428,052,
517,074,727,004,152,709,277,636,226,412,592,801,621,242,921,050,921,106,514,
739,808,738,641,238,713,701,460,393,500,531,019,061,940,400,949,965,479,624,
789,457,425,443,505,292,004,200,951,891,401,730,437,702,330,400,275,434,977,
943,426,478,558,727,020,387,747,046,066,543,730,504,942,599,785,541,118,440,
368,037,599,054,872,446,751,611,547,430,095,775,765,011,551,285,970,260,504,
467,163,914,445,267,649,618,642,615,775,357,063,564,339,574,181,772,160,288,
881,959,226,350,324,145,951,062,877,283,428,122,499,272,154,062,938,237,862,
487,859,740,303,129,126,423,589,955,182,195,323,216,620,661,355,657,443,121,
945,286,093,255,808,075,165,902,104,480,227,784,531,540,652,786,760,338,459,
578,352,060,454,780,780,696,202,627,749,108,056,651,685,951,225,336,543,702,
741,880,823,335,127,648,929,551,805,197,908,599,724,941,028,291,996,986,706,
684,818,201,917,505,339,015,907,827,884,088,491,122,006,731,211,623,233,277,
157,926,111,466,792,514,625,388,648,792,596,230,468,020,453,952,312,683,887,
219,202,790,271,984,429,828,268,876,439,624,354,741,020,878,646,816,763,143,
617,400,586,788,225,985,303,624,418,781,684,664,157,268,315,764,710,337,525,
615,352,237,830,067,110,082,772,355,374,480,374,991,620,400,859,413,537,541,
385,516,475,929,305,551,397,934,023,257,398,082,487,626,960,945,963,827,935,
103,157,271,623,263,961,152,925,935,173,760,458,235,463,087,553,459,463,849,
303,460,330,163,453,399,927,469,266,917,738,740,392,123,213,655,915,474,678,
047,867,995,534,312,928,741,734,996,041,995,606,575,949,574,847,954,940,636,
523,678,976,587,210,751,791,103,977,672,369,423,428,613,603,003,583,202,793,
803,134,748,947,317,101,821,133,685,221,670,350,152,866,895,019,023,762,457,
019,156,528,690,707,398,345,383,105,468,034,311,422,188,030,622,738,990,483,
373,518,576,829,825,489,773,575,372,142,365,544,923,593,658,552,671,028,167,
724,097,745,434,778,901,785,304,426,878,741,795,815,616,472,193,356,700,057,
300,199,460,129,550,077,281,737,491,206,239,931,217,822,887,204,872,468,271,
381,648,188,973,679,018,309,444,450,813,301,642,755,525,725,891,626,414,298,
311,409,956,979,644,963,614,547,465,725,530,812,441,871,923,159,265,625,383,
498,313,131,319,668,179,301,620,845,656,343,281,651,551,301,382,203,343,393,
021,711,929,611,844,869,475,149,655,030,177,685,262,710,589,451,544,267,375,
001,616,712,626,446,505,574,486,496,595,816,975,416,326,192,838,199,649,235,
979,863,553,128,740,449,696,335,387,926,747,237,532,468,989,663,910,249,706,
317,301,481,881,893,702,162,027,385,119,766,035,424,208,315,095,942,661,542,
452,620,612,870,701,871,736,458,089,082,193,293,643,754,691,570,523,586,085,
644,059,716,065,252,734,425,041,593,360,240,396,229,793,571,485,910,831,632,
602,837,034,021,863,955,777,869,286,305,697,922,969,563,546,495,367,902,734,
087,615,601,467,350,511,225,181,876,591,556,783,044,915,465,609,626,667,393,
157,383,595,440,707,597,784,774,895,187,989,399,543,996,421,021,511,647,760,
170,895,163,401,249,333,363,526,869,624,134,746,083,734,147,063,111,642,251,
433,119,361,241,132,895,487,068,484,210,757,388,276,171,836,981,577,825,793,
299,675,954,415,409,468,955,485,711,791,913,442,524,744,126,107,968,392,325,
822,378,031,575,720,005,377,594,459,195,116,273,401,900,461,798,596,834,045,
240,854,831,430,039,693,981,184,633,313,550,928,947,110,634,639,852,396,336,
823,218,662,883,494,823,637,402,838,625,069,242,926,065,301,238,107,954,964,
241,932,371,684,976,652,825,103,800,455,577,663,788,702,119,197,408,149,549,
345,094,412,212,750,813,207,171,615,866,690,956,963,684,561,823,665,995,595,
342,061,822,260,458,747,654,364,753,042,221,199,391,055,529,153,123,050,423,
851,041,082,593,715,344,266,104,266,855,429,373,068,092,809,595,113,217,329,
956,297,784,469,724,026,567,833,500,154,871,903,248,068,342,271,157,607,538,
309,822,546,686,186,969,618,029,361,687,774,165,134,973,942,041,339,796,429,
870,452,104,705,243,100,485,036,378,155,655,984,528,773,231,615,978,315,384,
162,899,649,757,076,719,269,290,564,141,778,096,086,565,845,755,721,886,373,
007,410,222,154,355,576,720,350,233,035,395,442,193,862,478,064,135,604,263,
804,309,532,683,618,876,313,470,459,685,838,473,143,189,772,504,705,003,825,
100,779,316,536,076,011,428,574,912,063,554,871,871,214,288,859,247,799,319,
767,858,740,451,704,003,696,508,394,882,722,103,685,575,392,296,947,580,524,
988,550,264,606,833,784,711,198,507,451,257,906,869,909,317,648,619,670,727,
530,480,932,305,539,046,611,084,130,161,120,704,837,039,120,107,295,140,166,
837,693,440,831,131,990,039,484,029,188,174,329,660,024,461,381,015,105,499,
227,572,603,527,146,397,400,383,304,827,219,863,503,049,377,185,744,802,232,
574,832,624,616,224,086,605,710,819,328,354,564,337,168,145,602,044,518,012,
864,397,808,231,983,936,682,643,644,666,055,491,135,903,057,401,869,617,332,
681,680,238,314,542,152,045,254,649,556,922,328,913,002,863,791,913,095,734,
062,895,899,845,456,303,136,118,723,461,347,016,350,735,124,325,788,414,689,
919,724,787,185,832,500,649,022,510,162,539,774,909,014,989,206,782,709,598,
558,758,194,706,897,848,889,519,324,788,436,484,761,608,898,729,186,544,998,
057,466,419,580,630,531,281,101,886,894,436,445,087,428,827,525,188,227,572,
736,961,147,927,625,099,742,619,199,729,387,227,957,457,704,743,666,972,975,
060,775,775,923,247,827,739,131,804,551,401,708,539,798,251,181,351,947,234,
833,769,553,001,974,741,325,671,166,208,864,285,853,300,817,925,223,144,229,
260,722,167,154,592,098,269,381,754,176,225,139,523,331,457,627,586,082,027,
926,376,604,089,372,472,010,299,859,694,338,716,611,301,884,797,071,710,506,
753,646,098,352,478,285,590,122,673,637,271,841,413,763,867,894,169,796,989,
288,160,791,008,557,425,359,219,590,258,865,428,526,876,395,322,273,122,684,
744,175,431,811,608,686,358,260,574,823,120,637,264,138,541,348,538,440,048,
876,213,723,850,157,599,182,043,721,737,137,276,341,394,468,397,113,152,550,
495,562,565,548,981,968,209,225,606,699,358,794,502,728,849,903,183,698,614,
698,374,121,248,580,858,144,116,395,231,716,788,089,029,075,755,647,389,086,
678,478,652,614,255,415,501,893,305,468,132,354,864,751,847,043,004,569,837,
461,474,521,298,598,719,949,964,949,409,587,151,269,500,400,909,200,517,759,
662,774,033,857,114,628,070,488,231,661,252,430,027,817,334,378,337,794,965,
233,309,333,964,835,221,324,617,357,763,345,739,453,252,550,135,835,293,879,
885,360,359,307,472,971,396,054,482,100,566,593,420,569,909,605,157,099,021,
465,508,513,510,187,127,283,790,562,290,039,028,088,312,888,521,073,492,001,
792,253,614,591,219,464,828,782,917,606,439,284,988,681,257,635,577,526,605,
616,819,477,375,991,718,815,432,806,286,842,850,530,219,583,826,811,738,303,
203,775,380,732,265,781,471,328,684,947,093,565,346,345,776,587,332,936,886,
675,066,009,535,929,598,247,494,175,828,813,331,198,419,714,686,709,061,885,
777,980,743,016,877,804,149,403,157,520,727,013,475,604,500,692,575,615,054,
706,162,631,938,491,880,887,732,653,785,753,722,355,436,039,052,685,759,560,
079,891,232,928,746,302,032,618,507,684,829,157,105,635,703,887,983,317,728,
307,723,467,773,278,213,137,213,873,004,146,519,314,850,160,677,687,042,302,
808,857,957,786,235,912,609,296,913,486,697,446,974,611,246,190,205,932,021,
571,845,190,101,631,030,382,606,854,464,769,508,554,311,836,549,606,447,921,
486,326,262,187,971,031,500,604,590,348,188,017,038,068,312,215,761,799,710,
223,138,747,476,029,791,597,917,081,500,846,699,841,578,245,550,071,780,797,
649,258,764,063,824,584,865,702,102,028,994,320,201,015,245,335,627,397,376,
082,284,568,697,865,715,680,701,697,297,370,861,264,872,587,539,565,887,778,
331,613,045,429,149,774,726,982,635,927,197,773,954,366,799,950,772,299,925,
546,980,925,886,726,801,618,860,642,354,919,191,803,636,969,148,741,634,971,
083,371,481,292,479,163,932,865,755,286,668,477,132,862,505,153,110,236,153,
226,430,252,995,469,768,604,952,287,317,998,140,822,890,798,921,232,282,681,
823,260,954,512,569,153,933,936,568,102,036,714,611,214,906,090,807,736,816,
373,413,554,048,802,519,498,077,329,055,384,170,780,273,053,782,289,983,822,
526,094,851,638,849,376,886,331,344,945,817,545,612,254,461,860,396,036,571,
565,753,826,775,491,415,259,779,301,209,278,148,753,569,630,001,425,827,132,
172,427,391,084,280,459,820,005,233,594,434,844,127,568,919,363,690,163,433,
290,193,881,777,751,011,945,511,476,503,717,493,635,294,326,714,754,762,692,
297,868,723,598,389,817,631,916,710,951,169,609,440,664,454,343,194,588,680,
482,843,388,702,117,929,673,871,814,863,994,506,243,328,039,010,793,590,129,
534,692,006,009,050,572,030,069,353,147,103,015,386,917,598,685,054,777,528,
612,800,811,250,768,069,316,636,272,534,208,578,883,112,808,506,365,984,596,
566,634,526,463,605,291,896,464,320,398,255,764,958,791,365,052,322,207,368,
613,873,883,448,737,600,272,960,466,301,467,275,477,251,086,418,445,883,958,
792,281,007,900,603,915,650,084,981,869,219,959,719,720,105,154,504,583,791,
561,280,741,080,994,745,468,924,670,543,912,065,297,286,058,996,806,151,177,
435,972,829,961,352,100,994,132,337,497,247,160,109,138,426,995,699,997,189,
780,898,958,436,350,489,133,431,627,650,778,148,772,712,959,947,360,965,341,
163,968,280,579,376,553,937,718,404,294,329,593,367,762,982,974,807,534,983,
965,455,959,977,718,275,804,485,392,864,168,506,198,010,269,628,884,667,967,
931,908,615,505,379,928,277,647,660,315,934,518,863,391,923,765,666,224,554,
220,380,626,766,392,373,053,364,625,761,360,154,762,856,752,583,598,094,239,
534,057,697,029,050,357,507,615,922,551,584,522,162,868,024,716,603,936,662,
453,355,911,853,293,648,997,589,146,218,879,161,119,827,221,942,382,246,275,
038,725,082,847,735,990,400,617,303,385,230,297,201,875,001,655,762,143,630,
487,808,546,914,688,987,849,617,784,698,041,872,367,323,791,541,653,705,645,
787,861,792,340,637,155,530,228,515,360,380,123,145,056,992,311,373,221,608,
578,236,950,294,223,415,489,840,646,651,959,246,558,096,505,548,735,914,033,
561,620,786,037,096,109,571,842,511,167,028,575,503,443,465,126,090,454,786,
101,603,079,577,643,388,802,938,478,816,485,748,655,345,150,632,726,804,479,
377,681,053,312,535,275,651,849,875,497,795,803,352,905,782,205,138,076,888,
927,558,333,655,113,346,126,396,941,834,595,525,665,633,747,818,300,662,542,
698,029,829,980,584,563,556,276,455,528,244,439,255,424,272,392,294,644,012,
541,467,972,024,705,439,659,293,794,464,302,283,789,334,688,543,778,183,694,
108,604,130,986,580,396,924,605,981,844,706,443,758,479,495,933,037,910,551,
064,960,785,911,753,942,012,355,293,948,362,923,124,123,812,712,335,045,254,
021,894,288,506,302,060,190,485,785,877,860,840,799,429,874,342,285,573,469,
309,003,948,805,704,654,064,358,577,376,772,249,297,764,287,460,388,957,333,
511,602,994,199,824,462,828,680,766,947,181,098,257,274,174,071,993,065,480,
389,091,015,692,195,077,396,954,739,037,531,771,669,683,903,583,943,576,012,
389,596,273,273,056,225,169,305,314,312,913,154,793,419,085,310,979,199,718,
566,729,889,030,802,039,757,709,647,204,542,155,755,388,291,883,882,625,808,
382,704,070,417,132,288,171,950,342,243,635,039,131,844,630,036,134,582,535,
677,230,131,931,499,392,353,996,625,130,845,530,268,003,946,147,543,682,993,
171,366,524,641,471,506,708,541,883,171,140,929,155,607,107,984,341,693,831,
612,643,635,860,795,937,446,195,453,330,791,262,170,437,931,896,557,138,311,
505,093,917,230,505,026,635,665,614,469,012,846,646,258,594,836,258,868,797,
113,709,266,845,079,002,576,140,840,323,026,688,909,169,861,290,144,311,730,
500,092,312,437,955,698,677,094,928,709,054,411,088,713,963,867,544,536,015,
769,268,755,062,509,723,419,543,210,285,303,551,856,623,434,306,300,834,775,
148,275,860,083,942,115,579,845,951,677,944,835,749,704,749,020,794,056,113,
388,508,662,699,128,128,500,079,787,225,943,861,319,467,014,692,375,115,218,
616,773,137,030,325,906,753,387,102,450,998,495,384,582,144,728,046,213,356,
067,741,015,116,656,729,035,050,249,237,472,207,006,314,695,607,894,425,076,
647,877,856,439,816,235,815,175,393,976,325,687,844,922,608,788,903,994,596,
728,058,538,930,023,897,353,565,029,795,203,281,867,114,624,574,831,299,594,
533,405,607,690,630,547,159,781,173,000,821,203,602,822,850,333,069,010,533,
619,771,601,779,806,510,502,145,498,385,634,548,466,103,714,839,437,836,450,
786,929,166,213,003,838,685,739,663,330,895,847,570,097,849,805,167,773,609,
744,400,387,603,507,092,122,085,086,179,478,791,797,485,377,411,473,762,319,
533,725,142,959,620,633,432,529,931,795,779,807,695,961,397,912,082,986,067,
456,937,236,636,596,558,773,650,814,516,497,710,496,222,400,670,042,228,807,
727,841,739,747,648,553,604,990,992,118,779,343,572,837,253,765,365,309,189,
971,647,535,130,353,564,732,608,169,737,877,558,485,688,586,043,392,769,722,
916,875,333,640,127,044,662,972,503,233,632,559,700,916,690,798,047,315,180,
869,424,303,996,227,668,567,052,702,310,881,613,710,041,514,324,208,373,820,
205,172,789,975,267,688,147,568,946,920,044,178,156,249,012,837,198,866,324,
585,790,814,966,835,120,069,454,328,955,840,240,417,719,314,044,900,707,135,
249,660,468,036,856,464,049,414,922,902,104,478,588,425,189,932,117,151,629,
586,205,830,728,801,054,506,015,097,233,280,766,826,041,180,256,857,517,698,
450,212,975,004,089,328,047,848,536,368,377,888,653,048,132,446,373,006,064,
460,191,373,040,224,289,581,505,288,898,201,960,090,277,480,212,432,328,795,
803,245,954,249,045,577,228,921,550,200,451,988,533,186,869,611,292,380,144,
226,274,484,090,529,160,116,231,020,827,725,123,409,418,676,417,073,075,068,
179,823,884,723,292,256,236,281,707,574,580,108,444,286,069,369,698,694,740,
432,880,748,726,032,310,272,361,184,124,535,429,968,005,022,040,893,647,121,
810,157,920,025,964,357,784,845,404,644,160,198,478,418,098,147,863,387,244,
681,322,408,102,374,039,040,117,116,928,025,777,194,552,477,749,925,487,540,
337,951,933,096,670,113,876,381,554,168,774,171,286,092,208,129,284,235,104,
930,742,205,143,128,765,442,915,592,589,883,525,682,398,908,243,826,215,322,
961,765,835,846,127,409,583,605,582,424,233,688,887,422,080,573,064,889,310,
280,247,434,736,705,205,295,049,792,275,844,663,344,394,184,126,208,191,837,
850,885,927,853,716,543,338,378,714,362,468,940,123,555,525,029,634,293,996,
188,055,983,600,664,333,146,243,681,657,640,549,328,762,891,458,896,867,093,
123,037,958,984,672,300,024,190,067,575,191,411,893,527,939,214,075,946,914,
511,698,026,251,318,366,699,000,790,203,834,031,383,832,337,516,093,721,269,
494,052,357,032,297,222,883,989,575,296,757,613,757,057,538,877,696,098,560,
329,241,932,273,097,008,553,916,699,201,939,376,139,600,435,267,884,072,297,
832,672,749,850,655,173,582,612,018,448,050,650,150,340,764,275,560,695,270,
331,179,495,031,893,169,263,769,082,681,742,645,430,377,861,208,354,473,731,
544,052,893,834,770,793,589,721,563,846,217,260,865,734,646,105,332,064,866,
863,085,312,804,275,597,057,521,711,312,568,975,172,845,041,384,250,740,445,
213,394,638,984,212,111,697,608,424,772,870,244,636,559,437,907,507,730,365,
165,136,768,193,529,067,247,000,374,971,729,433,591,826,944,487,937,052,256,
485,950,871,979,878,475,010,988,384,031,702,389,766,951,557,164,705,869,468,
496,034,645,204,332,304,747,529,683,502,342,963,828,146,987,162,088,400,271,
336,673,764,612,813,375,649,868,458,991,629,943,863,311,591,217,850,899,530,
761,747,829,896,482,212,054,713,494,166,503,273,144,464,203,666,751,583,358,
696,861,176,283,214,522,351,045,367,231,561,600,134,449,795,109,886,225,538,
572,116,716,071,372,811,436,090,241,312,167,314,651,690,747,847,161,687,134,
632,295,041,216,340,357,068,488,598,455,870,874,565,896,009,881,232,385,064,
963,782,934,093,659,286,984,754,651,098,472,976,018,515,783,091,192,353,667,
484,826,062,650,333,744,910,771,464,854,142,133,028,594,981,790,748,633,948,
013,836,747,194,901,033,780,133,119,240,183,858,253,787,357,544,538,093,143,
072,633,257,147,296,093,604,810,640,604,656,069,347,186,149,533,031,789,209,
060,104,044,414,578,123,937,724,838,064,530,768,041,776,747,881,393,775,499,
298,286,133,467,520,651,010,451,924,528,131,243,037,273,453,463,407,152,863,
265,166,117,419,787,422,384,657,245,958,422,986,133,791,278,912,990,769,214,
701,568,424,908,922,361,181,790,643,287,822,084,771,482,562,166,042,283,356,
816,332,079,772,297,798,409,950,689,247,186,448,780,953,953,591,281,527,657,
170,295,309,516,537,313,691,751,844,442,317,540,121,567,753,514,360,984,945,
119,871,126,624,906,671,169,152,956,706,772,380,491,925,112,906,038,415,108,
638,006,316,643,796,431,064,948,609,214,085,093,108,432,525,021,328,717,259,
352,863,659,033,095,902,952,219,164,023,002,944,745,574,134,984,180,084,889,
154,194,547,775,672,539,330,354,718,823,388,889,286,632,061,971,847,866,186,
057,562,900,238,083,045,822,423,918,656,343,592,451,939,365,332,460,566,317,
941,983,598,202,897,178,132,540,099,135,320,894,016,626,565,923,641,484,439,
049,866,438,997,545,493,974,311,007,391,845,189,429,234,467,131,857,696,592,
568,334,306,009,308,671,650,069,933,348,892,501,536,107,355,767,163,189,481,
148,855,958,784,849,251,762,636,073,482,024,629,643,283,909,205,480,975,119,
931,844,846,316,661,492,662,390,375,146,923,393,897,951,410,124,972,525,301,
540,907,192,035,200,847,527,859,587,196,118,267,100,028,640,090,211,148,523,
028,291,956,249,610,960,462,962,542,371,651,177,606,958,235,759,008,151,712,
848,010,443,491,264,777,557,476,370,787,252,654,564,753,904,288,675,528,676,
943,202,024,423,143,276,508,561,366,459,933,410,195,962,045,095,638,277,678,
256,189,750,015,877,991,973,198,291,753,016,093,894,575,229,245,366,030,329,
654,143,252,114,548,352,571,351,826,929,798,736,691,661,330,048,413,860,647,
387,291,560,099,454,486,490,205,555,659,062,075,441,906,309,892,493,340,599,
561,090,422,600,569,953,537,880,255,717,054,147,541,490,733,029,420,847,665,
714,919,708,894,060,420,590,726,443,656,913,649,016,429,691,802,486,940,989,
027,565,225,140,328,908,165,044,313,136,293,205,152,409,260,161,332,480,286,
036,474,189,145,003,115,012,632,203,002,722,808,118,184,322,556,721,616,743,
694,105,347,278,069,217,140,158,759,319,337,360,652,172,317,375,682,297,821,
572,895,590,611,347,217,601,963,900,101,962,107,152,699,080,509,278,207,662,
311,429,340,240,372,182,423,415,112,542,851,978,431,699,400,252,772,339,200,
238,610,985,295,595,545,229,022,348,359,495,576,868,761,843,777,508,418,661,
172,520,087,736,393,318,406,463,774,853,912,670,224,752,669,563,355,291,606,
423,531,871,121,425,646,398,291,449,109,242,585,795,069,589,032,598,235,281,
918,626,436,799,331,727,591,563,469,111,946,666,225,380,174,407,217,126,923,
863,299,065,083,616,281,582,623,504,075,629,451,725,587,478,538,228,836,785,
506,801,285,314,320,710,449,869,472,428,082,315,501,978,616,187,675,747,305,
681,463,175,864,374,078,656,136,499,990,903,826,533,855,513,213,275,832,874,
865,456,702,971,194,541,921,721,938,347,362,654,170,502,326,294,070,874,547,
378,485,289,675,980,437,665,356,419,838,791,814,746,079,382,611,539,257,046,
977,111,311,041,270,891,143,650,166,365,196,016,507,100,163,310,364,000,819,
333,901,250,868,974,772,210,307,608,296,120,704,741,089,196,072,719,995,765,
688,641,483,027,947,867,359,623,040,515,854,173,522,785,138,821,628,274,757,
374,958,645,175,694,698,485,187,813,234,102,531,361,563,688,514,950,865,516,
951,985,243,776,762,726,360,663,962,462,625,907,638,115,875,919,620,540,779,
407,028,566,412,936,822,481,717,619,690,766,366,550,899,379,994,996,474,984,
373,688,921,398,079,386,153,466,032,997,140,853,120,681,774,190,764,613,207,
640,377,418,450,051,615,004,553,901,392,837,943,244,451,092,992,239,137,329,
219,539,437,631,848,082,290,040,632,361,672,984,696,329,544,867,788,379,121,
670,445,342,645,867,403,122,790,509,896,321,452,951,947,249,812,942,410,218,
248,048,756,523,105,800,607,171,820,306,550,510,781,082,190,040,167,892,970,
762,986,497,967,860,275,214,235,148,903,584,993,897,302,265,166,477,394,358,
297,170,622,471,725,712,616,393,985,816,888,557,362,485,663,409,671,343,613,
966,491,741,686,133,154,085,428,652,062,707,179,015,367,780,714,945,804,636,
925,650,717,723,824,113,844,385,976,951,771,562,285,323,014,573,518,783,304,
734,795,465,836,577,212,329,565,495,245,276,744,077,522,208,823,198,119,193,
039,356,335,707,135,993,400,434,520,561,140,461,299,977,909,594,668,765,607,
536,795,628,991,832,783,964,787,332,119,480,823,014,585,020,239,341,505,958,
258,375,276,800,610,215,463,375,991,386,779,131,534,422,971,085,970,982,258,
421,172,901,985,596,248,185,042,872,030,663,815,381,578,729,110,497,314,165,
607,787,400,547,070,757,612,116,993,640,678,665,384,900,605,945,879,083,908,
052,495,191,896,114,720,393,934,663,522,449,501,529,793,772,074,438,401,868,
393,699,550,996,763,281,808,310,457,239,737,330,312,757,799,965,360,477,918,
314,620,614,317,007,680,105,709,865,425,440,407,262,133,711,370,856,703,417,
580,541,823,893,226,072,601,455,995,371,363,297,067,022,947,262,406,669,154,
389,039,863,504,057,868,348,081,515,422,461,665,573,366,900,126,372,010,265,
299,218,321,837,109,297,452,345,357,966,268,761,685,832,446,191,699,153,062,
136,501,296,534,847,072,134,245,941,650,079,344,341,539,520,510,635,604,505,
682,246,866,002,513,907,131,139,552,440,130,645,468,915,047,586,666,893,279,
804,447,132,289,903,909,510,304,380,034,867,908,159,511,485,048,942,033,944,
267,596,101,124,362,031,093,813,716,608,601,289,860,588,111,653,629,293,601,
866,021,108,761,676,811,558,164,646,690,472,313,990,874,393,909,304,546,653,
947,879,173,517,753,737,429,544,042,823,435,162,719,114,170,311,562,619,299,
353,584,256,818,671,456,976,179,839,093,935,444,710,889,906,520,979,135,622,
933,854,589,344,366,190,540,369,780,998,196,860,129,570,044,301,784,475,920,
911,788,403,538,964,597,699,389,055,929,127,215,533,364,911,622,185,595,290,
764,328,656,412,771,545,431,798,425,161,574,482,074,087,211,686,785,510,998,
418,644,737,455,586,900,701,285,900,576,473,691,432,344,019,163,939,566,662,
110,406,370,904,266,289,283,610,817,839,129,634,817,421,402,544,492,422,333,
689,304,878,531,161,531,267,688,068,492,637,661,344,194,862,631,183,134,231,
326,905,169,801,351,121,948,757,760,510,413,938,480,720,012,978,054,040,367,
295,713,661,358,812,060,296,034,331,664,116,825,741,631,739,177,594,531,808,
111,954,754,864,473,524,133,084,526,945,832,930,741,735,088,565,631,819,422,
437,431,212,109,401,416,321,655,462,663,341,490,180,271,396,313,823,775,171,
941,311,982,366,438,409,104,275,515,076,984,736,845,721,836,604,432,277,932,
226,620,020,749,589,719,470,834,639,032,347,050,281,091,028,704,781,295,296,
554,304,277,939,633,371,865,298,896,984,916,891,508,141,524,444,138,049,748,
522,809,854,569,884,220,075,372,638,749,885,634,368,598,298,634,616,320,942,
191,102,643,619,257,781,034,028,698,753,873,526,009,535,342,242,062,544,608,
274,887,267,320,879,646,891,143,404,290,999,381,474,047,304,108,966,982,404,
353,028,582,799,781,401,248,672,168,697,228,082,158,052,784,636,778,039,718,
056,211,030,764,845,036,509,922,634,564,584,850,713,818,148,554,121,539,609,
564,786,144,595,822,452,626,969,450,090,701,636,284,258,470,153,357,337,854,
588,779,177,147,989,386,333,099,480,440,759,188,738,096,671,627,160,991,146,
214,894,405,704,193,879,347,356,475,915,451,856,186,225,866,753,568,561,619,
792,069,134,279,403,471,239,490,586,886,627,781,048,609,507,891,987,682,160,
421,321,938,131,981,623,723,822,270,200,344,399,095,767,615,712,020,361,526,
506,316,212,462,650,782,683,008,078,066,286,460,056,437,199,468,198,748,249,
259,842,263,509,989,264,495,291,666,750,374,701,450,159,384,892,837,911,214,
758,848,610,312,219,029,050,341,916,579,527,372,568,673,112,663,762,967,907,
142,946,174,504,979,582,983,996,461,491,763,661,311,043,776,906,251,870,950,
938,212,402,089,970,373,923,432,980,590,202,627,474,510,680,981,561,822,016,
972,700,157,276,051,975,398,490,913,409,795,259,683,921,444,728,641,435,880,
191,402,925,165,135,306,961,094,849,729,380,138,537,125,025,333,887,079,272,
289,384,801,411,664,623,262,177,450,889,467,174,858,161,174,959,032,014,068,
399,617,848,829,185,465,026,468,183,896,914,987,367,570,483,942,871,335,328,
773,383,067,603,768,287,240,020,766,536,543,481,412,604,028,177,124,855,077,
083,596,022,754,254,179,744,279,901,164,813,593,184,419,686,335,995,953,135,
607,430,123,291,053,537,295,945,765,040,607,723,524,751,749,748,496,269,848,
853,262,468,684,232,764,244,446,113,057,197,682,186,433,890,691,003,944,909,
765,549,341,315,720,083,898,849,437,879,993,387,055,497,457,802,450,919,182,
459,419,025,642,902,822,834,879,852,671,774,498,777,764,155,350,198,780,063,
983,585,543,667,529,952,302,897,276,870,051,307,472,765,596,642,660,706,636,
009,033,077,161,722,329,321,066,190,811,879,181,858,849,542,203,395,377,652,
570,929,344,527,600,233,292,382,071,080,641,191,499,827,571,348,402,726,562,
240,822,639,268,441,786,694,062,974,286,193,249,857,570,612,040,515,329,529,
687,378,566,019,116,589,463,730,459,241,028,988,384,950,385,033,107,545,593,
945,308,352,402,847,182,383,822,082,950,999,172,213,728,054,692,361,603,702,
337,873,769,557,281,817,097,945,903,064,702,544,495,889,692,056,798,712,258,
760,444,084,082,225,262,420,886,125,193,931,701,171,591,271,463,573,421,206,
139,810,231,773,827,026,000,216,504,126,247,409,168,611,210,779,075,871,210,
040,568,486,339,539,871,519,888,896,108,521,509,771,892,724,017,926,916,858,
739,470,564,754,953,559,513,861,044,300,996,196,773,073,929,279,603,093,781,
273,343,480,681,216,824,205,954,475,627,654,368,519,904,432,754,200,645,789,
614,618,292,449,161,597,002,423,342,378,692,775,202,968,302,389,724,462,211,
469,802,136,903,766,370,199,646,314,365,942,548,953,801,237,648,463,748,699,
301,078,119,859,029,388,813,442,107,770,912,091,795,962,046,048,180,310,472,
200,444,690,156,219,490,622,049,137,768,813,375,530,045,558,200,215,444,039,
100,849,285,970,495,451,834,221,269,423,010,049,233,915,336,320,633,155,712,
824,539,087,394,324,078,553,531,055,513,538,153,644,189,604,549,999,725,549,
617,861,396,365,743,855,152,154,240,741,711,182,775,827,972,853,289,928,380,
411,571,879,269,460,860,956,660,135,645,300,527,419,648,684,668,150,033,523,
059,994,448,271,003,093,752,097,545,211,587,266,984,640,235,174,696,570,385,
495,708,534,582,807,504,410,368,036,188,551,141,469,551,551,120,699,190,620,
042,620,559,106,285,476,011,513,676,412,868,466,983,144,471,639,013,478,459,
908,746,902,118,364,195,268,453,059,493,136,920,809,809,637,398,094,596,317,
475,577,295,978,756,598,233,309,078,745,643,636,581,023,061,629,057,558,840,
958,317,673,105,366,072,347,584,403,322,228,891,650,333,601,898,618,377,217,
652,253,235,429,322,822,290,406,796,110,706,477,020,496,130,307,276,687,912,
665,524,078,417,688,829,701,377,789,615,503,158,815,679,482,406,711,098,427,
287,877,178,023,675,869,850,744,301,692,626,670,875,659,667,737,430,531,126,
507,726,065,955,643,383,235,626,650,146,467,577,928,688,346,721,362,690,028,
592,408,411,133,067,349,047,910,030,853,687,601,719,687,789,490,382,748,679,
952,827,524,820,251,800,934,738,711,891,461,366,343,652,734,491,840,126,547,
751,019,237,318,327,087,826,044,693,754,683,191,880,740,483,564,302,446,586,
528,190,556,819,776,389,213,638,280,968,331,792,806,374,012,741,161,618,472,
769,094,920,487,607,360,739,197,157,667,710,885,144,535,575,281,476,324,456,
937,295,952,513,361,408,543,683,615,041,318,915,212,947,181,713,903,528,175,
962,823,708,071,811,811,840,806,628,684,839,058,864,031,483,216,852,662,863,
443,037,251,420,792,679,939,981,549,258,836,232,082,270,030,532,110,815,991,
130,894,820,650,561,710,987,173,155,988,958,368,218,616,213,220,251,409,250,
474,901,707,227,685,144,281,542,606,614,033,960,557,065,299,898,745,186,182,
121,224,669,693,590,921,115,344,629,010,857,852,166,024,615,288,662,199,515,
086,687,160,299,802,009,935,777,128,671,744,268,417,347,614,843,608,593,998,
602,298,598,325,971,442,170,546,986,612,443,562,731,760,985,797,760,155,976,
653,525,219,374,791,297,415,740,043,073,392,586,171,827,685,290,553,132,980,
140,902,640,648,868,384,055,749,603,695,099,507,330,854,234,711,801,517,774,
843,218,521,702,947,640,495,330,462,448,579,299,059,353,533,207,929,674,273,
590,574,115,698,751,593,816,557,783,744,765,524,931,416,256,667,085,865,689,
766,743,841,024,921,162,387,681,135,509,860,528,925,563,288,327,002,207,368,
660,380,691,144,626,168,253,531,959,707,020,139,934,133,516,963,148,435,406,
425,938,388,837,309,487,874,307,365,827,780,782,465,414,212,787,831,273,613,
169,868,365,198,041,641,675,693,973,765,333,983,905,741,868,310,678,980,765,
607,420,733,317,301,976,888,221,800,728,614,929,850,789,129,263,605,708,677,
521,914,798,808,604,958,193,141,465,592,581,273,509,129,924,043,096,381,149,
043,876,972,446,666,726,271,336,994,943,954,047,009,970,258,708,589,272,727,
691,156,587,738,339,605,592,815,664,250,425,199,032,202,216,066,175,370,309,
699,400,255,524,752,628,664,238,719,985,563,121,825,302,233,740,269,572,015,
553,535,129,339,391,513,832,358,373,788,896,151,602,277,832,628,333,172,676,
198,517,963,270,101,675,640,753,353,429,741,699,940,979,659,087,947,231,991,
949,677,156,586,671,889,997,334,629,997,559,815,488,187,723,205,035,399,229,
246,256,185,793,625,251,592,775,592,710,792,884,754,823,194,328,361,770,519,
564,919,655,781,046,612,837,989,597,025,084,552,357,286,128,037,855,054,615,
245,067,493,888,441,738,243,663,735,016,879,850,225,340,063,482,831,647,407,
917,605,468,518,276,488,052,100,310,345,823,026,659,624,039,135,113,177,192,
616,366,701,171,832,441,819,168,234,551,333,295,890,629,189,380,276,879,500,
974,185,502,669,661,749,497,673,030,457,486,261,835,676,977,453,742,448,597,
608,107,205,257,975,931,669,151,229,242,471,363,202,556,486,084,597,537,721,
351,946,254,278,085,500,169,250,785,353,171,218,591,617,135,515,258,343,261,
121,234,931,724,481,722,497,611,578,754,156,316,863,432,388,616,530,931,984,
795,863,763,791,033,004,392,509,480,885,142,793,053,436,641,982,656,872,625,
078,995,164,374,075,688,821,257,554,031,268,079,419,697,358,807,845,518,739,
457,026,720,984,045,657,407,942,526,288,662,456,199,340,192,893,140,373,244,
188,647,226,116,586,881,622,089,227,824,788,181,695,519,585,479,520,310,717,
518,049,345,809,393,350,370,965,059,241,902,275,819,827,433,845,523,997,006,
121,462,416,970,075,469,662,615,199,450,377,748,004,783,234,893,166,591,204,
828,547,181,281,950,183,244,424,870,219,621,646,010,147,337,572,531,164,827,
164,080,772,226,630,165,759,308,282,847,863,350,638,049,974,359,769,740,420,
054,336,703,764,470,784,387,917,093,238,455,793,139,127,806,790,725,003,773,
766,359,829,904,175,431,172,531,710,677,398,456,359,649,840,718,794,325,282,
217,141,675,606,355,951,222,890,161,165,286,944,226,983,048,103,610,128,675,
597,186,785,336,640,454,709,856,278,725,445,508,569,226,373,525,337,978,274,
786,601,128,060,158,940,364,415,461,807,775,626,118,057,354,078,499,682,973,
257,453,319,647,302,533,058,910,655,952,140,935,906,628,394,760,545,527,818,
625,726,647,358,971,085,161,712,008,318,644,632,174,763,519,907,475,806,699,
660,191,733,394,104,806,481,728,660,139,463,372,069,443,723,671,380,770,044,
366,427,070,348,831,436,250,920,577,283,428,771,897,321,352,126,791,872,035,
908,987,133,401,622,657,526,542,701,061,950,957,025,437,790,537,352,335,628,
091,818,153,612,000,042,294,056,333,483,669,807,564,100,804,338,128,726,679,
606,541,945,176,805,457,943,769,377,705,594,559,309,578,044,462,108,464,820,
012,764,560,765,344,827,584,804,439,144,103,585,412,932,953,646,963,523,144,
844,050,099,029,189,580,706,310,941,059,652,318,593,935,482,458,213,785,253,
933,550,378,298,305,998,881,497,241,590,089,216,224,250,198,857,861,279,001,
648,730,447,425,585,454,741,337,588,397,002,476,675,879,098,588,060,855,541,
442,882,143,275,822,772,566,279,891,138,518,112,588,823,720,362,860,583,659,
593,179,408,138,982,907,720,402,478,101,593,296,257,053,794,998,004,187,258,
169,485,596,896,832,409,680,680,740,006,191,498,523,591,563,419,420,698,211,
790,331,223,609,377,063,460,528,147,966,175,275,742,139,311,656,485,257,170,
353,475,182,759,810,964,563,786,428,905,007,148,209,932,652,117,504,638,070,
709,676,409,617,755,130,906,717,151,037,960,918,974,180,223,922,748,464,336,
318,574,577,957,518,332,741,059,951,686,616,856,739,934,204,024,696,638,464,
404,817,807,027,247,128,541,654,470,373,206,727,364,217,826,779,482,419,328,
606,429,750,641,524,001,730,481,558,196,265,683,916,488,462,794,890,639,923,
854,771,659,501,445,412,076,200,489,127,031,049,374,008,415,102,598,334,896,
053,936,490,123,800,790,361,423,246,471,649,807,691,957,400,464,209,959,261,
175,594,407,272,786,878,161,989,551,683,516,523,463,375,158,449,301,978,510,
685,508,176,662,747,806,212,559,386,405,553,343,725,335,848,260,266,240,580,
708,103,167,445,303,370,241,095,187,291,295,955,618,827,685,196,166,739,217,
130,039,071,096,045,451,178,839,011,663,226,410,510,677,401,827,400,625,068,
497,738,973,071,509,544,225,509,969,897,947,369,922,275,333,831,834,620,882,
163,968,662,238,514,125,163,147,380,263,615,043,659,421,058,711,617,708,770,
638,391,066,534,142,895,263,936,264,281,482,438,302,490,544,133,552,724,477,
003,228,825,310,827,394,424,527,273,220,349,830,646,580,971,245,048,343,285,
887,974,472,446,382,306,801,404,113,212,910,022,496,362,854,709,021,926,806,
962,401,694,570,223,451,519,555,391,559,565,423,543,469,189,637,853,340,344,
136,711,740,773,343,246,562,727,887,857,596,404,213,908,619,978,023,253,017,
935,237,648,108,172,292,244,246,648,608,991,773,129,810,533,481,983,277,000,
745,469,371,501,270,887,703,603,788,290,486,056,543,352,048,722,890,395,133,
826,808,093,487,422,384,797,180,042,343,870,449,706,167,069,351,427,651,627,
789,695,606,357,006,155,152,278,439,156,270,412,193,304,796,270,555,684,645,
717,641,050,178,510,356,261,381,870,576,984,048,094,974,788,874,240,230,638,
242,136,562,270,198,876,111,180,943,366,354,670,257,279,661,716,314,768,293,
325,520,275,235,567,045,537,957,371,804,592,249,570,676,852,918,452,700,990,
098,130,262,727,275,713,309,235,525,142,446,019,547,370,523,040,026,858,501,
691,261,911,138,057,863,297,413,635,773,322,514,880,867,047,776,788,414,521,
972,000,195,154,208,337,097,651,276,862,641,836,477,006,503,738,771,860,363,
227,716,690,784,791,901,026,372,066,775,951,199,599,572,303,976,598,755,213,
210,308,953,601,296,831,368,223,333,131,945,056,912,801,316,527,949,189,958,
730,730,218,771,696,276,651,658,455,826,213,113,008,745,939,275,435,649,387,
718,995,297,308,369,615,900,054,117,484,355,043,550,828,786,440,477,372,342,
641,992,480,063,195,230,469,493,433,378,314,378,468,434,669,738,136,204,054,
967,602,907,276,810,469,230,348,551,823,308,359,552,701,759,436,584,551,211,
683,770,667,747,031,053,976,853,596,902,521,698,878,730,970,937,675,721,294,
018,525,225,722,925,784,073,301,741,695,223,162,840,628,379,478,412,268,971,
053,838,555,633,247,649,903,538,024,474,427,223,864,606,206,430,997,578,826,
310,536,873,584,886,346,365,538,186,606,262,031,532,544,705,708,310,712,263,
845,635,550,781,672,353,271,991,625,227,345,251,749,398,285,889,193,563,917,
341,937,205,094,162,077,001,759,779,751,130,543,103,804,445,755,908,725,891,
415,013,478,581,144,618,449,111,771,023,454,297,521,346,443,798,459,727,616,
746,262,324,875,059,512,442,568,714,384,492,275,755,811,156,867,306,282,705,
363,749,532,519,162,200,963,856,523,249,937,255,657,796,926,397,038,999,871,
683,126,157,659,712,267,182,283,363,925,121,291,471,980,800,033,806,358,560,
980,116,429,954,691,175,288,901,947,336,534,701,119,429,192,749,490,724,477,
216,851,581,417,678,276,293,011,768,610,670,178,398,218,295,074,678,372,747,
566,353,551,904,800,008,465,399,412,478,463,930,809,713,401,325,944,933,720,
371,135,803,080,679,352,847,034,701,661,116,720,637,589,420,331,469,601,231,
116,782,674,134,806,360,711,372,142,231,035,645,250,135,923,197,732,129,193,
051,228,226,592,014,583,829,661,076,993,411,992,613,677,219,497,170,184,612,
701,285,827,505,165,223,491,342,704,557,446,577,967,113,722,570,192,998,202,
687,033,331,640,955,922,864,012,670,145,239,120,130,895,368,730,035,653,976,
866,761,588,564,816,822,099,063,707,963,140,689,721,988,081,146,675,221,286,
405,087,231,415,202,980,375,808,319,985,416,835,405,545,372,084,134,638,353,
137,343,758,097,363,640,228,190,672,387,003,350,077,219,451,622,693,087,899,
020,963,558,911,454,559,081,757,230,521,707,207,970,492,785,379,153,527,737,
575,173,043,225,695,223,558,518,513,135,533,402,686,581,817,237,681,081,461,
730,310,830,972,317,766,789,297,450,409,461,183,804,256,127,899,027,096,739,
054,869,792,311,828,022,855,242,242,520,853,858,284,100,194,003,045,689,827,
065,624,158,146,485,644,250,602,090,732,213,454,062,564,447,252,280,602,327,
294,403,535,276,337,215,072,536,768,245,507,492,737,994,361,494,279,207,400,
803,688,259,029,158,777,914,245,764,235,896,731,115,202,130,286,168,124,491,
746,932,516,111,817,640,701,576,134,074,579,004,105,146,477,775,439,537,630,
467,391,953,758,011,526,294,801,758,043,242,803,221,235,495,917,377,440,482,
955,383,054,423,318,081,175,086,107,766,845,038,459,687,294,006,819,780,012,
547,666,466,514,578,205,270,449,941,915,667,606,837,093,850,663,554,051,979,
995,978,227,744,358,761,570,976,536,136,297,024,258,326,518,946,145,679,358,
828,016,006,636,941,892,924,553,266,923,979,454,787,358,146,766,132,966,554,
869,141,084,106,388,446,460,685,965,004,164,454,569,077,875,517,009,036,132,
768,398,073,630,802,465,002,739,148,277,767,869,154,786,373,539,473,078,369,
106,191,957,498,154,612,672,585,508,459,063,320,588,483,405,586,270,684,928,
355,413,369,124,770,597,825,947,094,353,719,024,358,364,286,926,781,498,293,
459,723,880,932,812,805,876,148,277,032,643,812,291,161,544,295,961,903,457,
328,668,524,032,808,982,947,076,293,853,750,177,544,246,185,636,683,926,067,
620,259,131,846,519,793,735,629,660,702,747,360,689,887,166,589,297,640,447,
216,844,622,574,851,159,801,172,337,517,864,900,159,947,891,514,295,339,288,
657,318,410,049,908,069,627,074,003,878,166,258,613,159,145,112,137,075,396,
295,893,800,064,830,931,433,647,144,398,977,054,686,548,975,400,901,339,398,
332,122,246,520,658,534,653,432,425,626,825,736,766,830,797,726,181,836,351,
379,727,321,061,722,324,992,095,083,677,089,531,579,750,971,753,084,315,816,
817,742,440,252,109,849,656,056,186,339,149,439,789,115,587,630,531,551,160,
336,285,937,240,407,551,105,996,104,586,208,113,320,749,327,877,190,157,868,
033,575,478,140,885,699,924,535,426,226,522,101,010,965,665,597,239,130,106,
844,973,009,271,313,884,958,447,032,282,169,459,607,955,269,572,790,449,721,
430,706,564,938,453,552,350,715,287,574,689,756,746,506,628,635,008,833,139,
671,952,946,867,987,938,696,578,224,810,196,733,013,946,288,582,170,304,754,
385,949,290,259,200,598,528,185,855,828,120,351,305,317,079,226,294,079,595,
393,736,901,428,595,853,015,049,646,286,904,396,285,736,463,252,117,134,863,
766,464,677,658,228,840,453,951,624,451,521,939,141,050,990,737,431,851,171,
835,510,774,050,936,753,920,281,275,755,758,378,314,874,515,752,506,013,800,
242,146,723,839,078,871,882,401,832,588,655,564,975,767,045,401,627,260,637,
637,904,508,812,939,662,486,664,155,287,535,164,623,261,231,768,469,732,083,
586,456,937,287,707,876,240,655,025,990,291,484,355,944,627,084,344,770,843,
242,106,544,510,566,739,722,483,306,213,427,627,754,203,299,569,324,829,818,
075,019,516,210,669,504,917,880,770,609,881,345,967,781,414,190,510,605,217,
194,212,480,349,603,580,467,734,095,888,794,992,188,493,217,155,320,333,443,
027,372,968,059,776,724,192,977,668,603,391,492,356,058,907,188,546,898,664,
302,063,052,661,520,427,023,140,189,319,713,870,118,957,756,863,786,817,819,
859,818,588,611,404,826,005,264,363,132,570,923,737,928,513,204,308,446,652,
955,323,569,492,531,876,730,216,539,280,368,446,463,251,331,518,955,474,074,
062,837,605,636,023,573,803,184,047,387,900,852,795,390,455,796,401,820,771,
096,752,198,739,848,506,851,608,387,672,779,470,752,124,828,512,253,543,328,
487,211,416,394,914,837,767,512,909,399,637,017,961,440,768,940,093,155,889,
325,473,211,095,606,727,654,092,343,266,534,739,654,801,268,547,057,077,651,
516,639,728,218,450,512,722,700,144,139,738,686,958,483,969,290,609,032,395,
482,549,893,049,006,519,594,283,003,408,624,618,546,843,312,296,287,398,834,
605,631,758,274,767,366,482,449,182,408,426,573,964,023,916,476,091,233,091,
631,541,624,068,989,244,253,900,561,764,896,086,743,868,580,677,235,153,152,
020,455,392,414,441,872,998,049,228,161,532,086,631,849,354,393,067,232,325,
930,338,509,234,471,293,662,451,356,852,239,676,832,445,510,944,489,663,697,
628,330,614,555,131,759,771,970,936,891,496,874,470,115,122,645,578,541,038,
079,490,957,728,416,094,235,120,228,693,640,173,723,935,673,563,505,003,616,
342,398,934,985,031,580,581,047,621,529,070,784,281,548,170,928,201,513,023,
971,370,693,616,207,799,170,704,935,584,063,796,148,253,807,794,155,041,579,
730,615,875,485,782,641,573,590,496,215,373,270,635,006,380,087,104,819,366,
199,937,854,523,469,173,083,887,528,536,899,414,680,794,320,977,904,047,215,
921,745,695,861,607,471,068,231,010,964,773,795,519,232,381,622,499,100,463,
172,729,954,438,896,317,868,077,238,145,027,041,572,111,168,588,412,727,585,
167,526,894,590,267,119,377,423,988,103,381,113,685,603,984,263,565,776,738,
827,446,504,955,866,122,965,256,408,796,450,844,839,202,583,867,151,083,528,
176,109,483,368,658,985,490,445,907,219,599,834,266,037,573,689,842,105,518,
236,967,368,281,052,420,293,315,571,643,910,706,349,524,252,144,558,947,706,
092,147,974,571,165,790,162,530,464,394,184,597,585,875,716,703,641,051,969,
587,178,042,677,583,219,850,211,327,622,322,233,105,401,456,571,588,436,803,
578,237,303,316,828,854,693,622,468,336,378,418,100,853,110,015,837,648,934,
851,755,618,579,673,992,626,704,792,702,076,449,173,875,192,489,669,037,549,
283,210,657,006,407,005,534,669,252,805,328,167,892,036,299,789,514,683,187,
316,994,855,426,902,136,717,443,152,544,275,980,701,798,417,825,102,825,254,
520,554,669,183,602,184,518,681,763,937,344,109,591,108,797,463,954,687,669,
264,927,596,878,011,949,856,976,696,259,177,534,171,031,760,124,559,281,016,
085,412,788,101,322,930,611,376,101,895,114,116,552,281,640,356,301,289,367,
028,684,714,018,710,783,642,819,585,708,084,268,037,591,460,439,953,880,727,
845,228,307,234,025,532,380,370,036,444,079,573,646,502,653,365,008,883,705,
445,196,371,956,274,023,356,246,020,299,922,997,223,639,521,412,829,004,474,
157,422,876,242,710,469,679,288,374,063,282,969,871,716,796,664,957,413,966,
723,963,756,422,508,498,110,436,898,292,830,998,190,881,851,333,778,520,486,
384,314,135,332,920,597,187,752,959,678,104,527,963,259,010,052,632,233,142,
447,113,382,367,984,984,966,505,825,276,626,095,482,064,703,344,854,877,333,
398,339,901,524,619,666,800,048,154,544,831,570,578,772,276,858,117,117,656,
718,951,066,843,916,539,079,974,929,623,119,271,784,736,066,818,678,135,726,
488,427,868,751,136,791,729,990,850,211,285,835,323,696,084,554,506,684,418,
372,778,598,986,400,956,676,199,567,140,960,755,775,345,524,161,119,557,402,
263,332,329,116,452,899,633,309,086,359,269,607,164,046,742,468,374,884,727,
473,105,871,312,133,588,196,317,827,321,915,224,919,806,798,958,506,958,020,
201,488,133,344,948,800,530,841,003,783,562,423,725,469,574,216,470,371,329,
451,047,347,793,013,882,304,905,086,577,496,783,468,865,084,209,624,994,909,
442,298,418,925,795,729,820,932,943,390,900,785,116,500,979,749,864,392,201,
239,933,443,930,932,751,158,813,666,272,688,393,734,048,625,730,760,874,632,
125,033,453,847,867,647,049,733,865,204,368,444,257,198,449,854,120,052,070,
942,923,875,050,607,500,622,012,731,942,276,219,381,411,396,782,466,406,527,
926,589,150,259,765,526,107,290,234,122,607,733,145,155,087,054,379,580,196,
877,131,423,371,863,116,518,050,517,343,209,143,440,249,750,062,558,183,702,
686,212,743,125,122,133,687,029,673,324,542,442,873,341,274,785,695,859,380,
393,709,306,587,072,357,578,068,002,950,400,137,376,928,449,677,630,122,777,
768,424,793,950,246,062,363,329,367,213,880,977,718,288,625,117,002,576,096,
063,923,238,203,445,403,018,294,534,500,757,167,863,732,186,819,539,145,934,
326,936,505,961,957,015,337,031,352,075,798,475,534,829,650,852,308,587,966,
678,589,676,657,057,841,411,585,325,157,459,983,599,655,621,273,224,445,079,
651,043,444,220,347,603,291,306,929,392,138,894,116,396,487,501,346,048,050,
515,735,598,045,727,638,131,307,619,585,709,509,057,354,345,364,651,546,043,
162,490,142,121,039,129,242,873,540,141,180,229,891,207,129,359,053,716,775,
884,029,962,916,879,294,630,051,944,203,053,895,984,767,272,159,653,647,093,
609,415,623,119,974,604,751,890,834,559,791,176,071,274,836,510,671,747,944,
461,543,397,540,911,878,007,979,223,241,663,971,878,506,048,436,349,875,810,
892,041,029,144,298,871,069,807,656,766,305,764,512,061,275,866,450,035,141,
655,279,853,753,507,789,414,602,823,052,095,477,918,998,995,555,261,753,423,
448,605,254,549,344,833,729,606,057,952,527,266,729,466,340,809,564,346,066,
756,809,763,327,908,775,832,324,908,089,978,483,457,878,195,555,764,766,285,
960,567,577,810,418,369,501,976,785,958,215,590,205,524,890,819,230,144,133,
529,165,835,585,540,503,792,262,460,650,611,691,885,763,050,743,339,273,327,
592,761,190,507,734,567,354,236,316,278,996,544,838,614,628,139,855,232,196,
782,297,458,954,676,981,818,314,990,023,324,180,042,148,493,076,972,537,023,
710,114,388,781,135,922,741,107,663,624,662,386,420,146,659,184,292,823,956,
116,321,050,316,309,249,402,312,557,817,660,063,958,559,462,616,673,341,176,
420,004,501,021,252,897,554,375,767,736,605,432,032,031,780,015,364,116,168,
448,884,428,818,537,929,799,300,405,427,600,665,441,519,084,843,324,503,898,
146,446,600,091,472,359,372,522,552,895,522,301,579,303,498,311,891,762,105,
668,113,217,170,824,901,298,373,476,992,277,711,148,405,833,766,008,594,658,
951,915,199,455,921,159,819,426,582,508,224,876,606,910,766,207,708,820,621,
295,228,277,895,008,197,580,055,763,006,548,763,225,365,705,892,695,183,958,
720,682,113,349,294,659,436,819,453,788,392,604,187,639,016,119,786,308,279,
664,505,339,486,132,841,223,198,592,521,900,602,602,315,353,020,844,145,746,
143,586,198,819,758,131,773,289,508,723,859,245,936,363,955,974,534,787,308,
271,888,637,745,325,317,173,102,951,993,199,708,616,269,403,669,094,649,106,
651,111,653,982,134,421,468,743,194,534,309,274,752,961,205,408,531,213,780,
765,000,139,957,902,684,139,226,230,841,347,591,308,481,820,988,011,415,897,
779,472,128,169,719,987,918,515,075,760,444,963,819,762,914,056,940,528,720,
504,417,042,516,716,529,895,923,359,663,052,517,766,305,100,948,181,515,494,
594,566,075,412,166,863,951,237,030,563,393,754,682,423,474,604,556,886,246,
300,210,111,951,729,456,408,234,049,508,740,151,070,628,349,029,143,535,737,
343,218,104,772,547,168,240,023,285,201,774,040,730,260,570,600,396,524,201,
860,369,273,884,558,062,323,927,778,742,836,715,195,518,641,534,345,516,074,
110,472,060,257,524,329,344,943,565,125,879,726,574,975,428,709,825,156,816,
125,012,584,830,465,149,948,426,564,657,198,199,063,071,045,097,212,925,803,
309,135,261,557,641,019,580,341,931,389,227,888,031,794,869,624,293,507,021,
355,066,411,399,203,397,625,656,980,454,473,630,029,732,449,838,437,405,328,
708,424,379,327,654,742,542,563,584,025,918,518,713,006,371,075,553,317,236,
258,283,895,287,301,666,369,806,770,729,645,495,403,157,567,833,729,098,527,
991,854,907,935,301,749,960,179,642,715,459,145,726,160,136,743,013,530,290,
082,839,283,702,474,979,716,574,017,113,777,409,596,736,189,251,193,628,535,
415,686,634,933,833,883,115,718,137,620,939,693,955,957,050,754,247,741,731,
648,466,442,714,013,218,597,054,441,840,152,674,215,141,934,606,737,542,708,
512,693,475,710,102,939,664,450,778,765,949,884,006,053,942,432,805,912,970,
039,106,548,905,541,708,224,249,131,269,751,297,779,683,999,270,301,604,850,
744,662,716,083,440,755,360,341,998,582,871,972,234,871,713,877,559,711,740,
556,492,764,503,652,806,989,808,337,563,384,892,678,090,835,745,919,960,467,
876,083,712,958,543,203,647,284,753,849,215,963,309,147,880,493,933,034,148,
560,147,420,380,116,892,231,428,059,322,245,048,053,702,245,213,869,202,203,
885,583,123,752,502,943,069,157,766,049,348,701,497,306,406,658,581,911,720,
779,470,668,251,039,583,548,842,835,693,289,238,082,072,924,235,761,703,570,
787,372,979,245,634,940,685,521,815,528,372,927,515,820,240,461,279,583,139,
932,212,582,188,647,328,311,675,643,145,283,467,210,591,077,172,951,903,280,
249,539,515,858,546,778,529,577,831,296,499,890,019,264,469,009,556,397,586,
937,925,722,323,641,257,966,755,935,050,659,409,937,696,490,548,096,323,065,
817,598,505,070,222,704,878,007,085,231,344,693,142,831,030,107,592,632,386,
341,029,498,641,750,870,176,618,075,542,431,474,940,650,109,229,164,974,191,
477,086,115,465,552,772,525,889,327,115,158,940,683,834,652,251,018,686,009,
138,755,099,484,761,957,691,951,528,489,445,489,713,616,080,072,045,110,133,
505,635,944,398,387,409,295,899,905,581,270,076,953,919,646,437,881,977,855,
564,460,948,234,292,707,734,218,707,718,287,813,609,329,164,530,139,994,355,
755,315,242,162,020,450,179,277,786,569,032,355,585,295,593,093,109,963,361,
456,699,744,394,042,219,602,781,628,057,219,934,152,314,121,579,262,450,574,
433,451,686,059,318,706,230,380,233,114,681,986,529,222,605,389,018,980,502,
596,459,548,868,389,166,584,931,536,245,713,930,959,920,907,644,401,258,437,
247,598,955,120,637,937,262,773,851,372,199,445,536,770,642,368,331,260,334,
238,787,036,962,326,627,643,903,889,898,363,180,638,093,635,626,842,958,745,
809,802,153,032,168,579,100,024,839,172,378,089,380,909,249,831,074,570,541,
204,339,496,985,568,950,227,345,577,860,176,634,656,266,496,747,422,127,119,
156,190,447,769,925,506,693,460,163,681,019,249,324,780,559,203,011,999,873,
313,590,929,224,292,902,444,803,101,827,032,535,496,661,318,638,802,363,160,
534,980,996,990,207,090,377,002,869,109,924,278,036,757,385,958,001,844,646,
149,124,042,421,373,204,510,271,997,388,214,825,087,284,064,177,648,976,214,
716,178,472,740,950,969,537,935,025,553,520,859,640,430,723,439,551,409,159,
210,271,529,633,337,055,667,699,682,654,942,558,552,997,213,909,645,454,797,
473,286,233,538,215,514,700,492,080,167,682,481,931,573,083,095,705,193,584,
622,865,442,895,268,954,215,074,432,266,396,134,143,217,245,435,666,858,135,
766,231,739,328,023,373,691,136,802,906,745,091,229,723,976,658,040,889,989,
264,545,334,142,755,324,912,307,177,980,801,130,878,384,689,186,276,780,191,
154,922,008,824,032,978,986,260,759,514,117,201,064,544,359,087,995,091,184,
573,453,067,893,478,626,194,973,791,701,900,953,756,387,686,873,538,601,845,
497,662,630,581,110,503,118,242,181,151,898,426,919,665,296,876,866,477,818,
639,274,119,804,953,795,793,892,784,117,082,662,932,582,885,082,584,781,681,
664,706,741,728,863,352,634,967,176,179,560,892,414,708,233,646,587,056,276,
465,117,991,938,524,863,189,643,307,248,518,220,505,117,083,384,833,935,941,
212,953,781,950,375,366,126,394,692,172,317,859,681,503,063,730,502,250,810,
982,966,002,502,135,620,651,219,011,118,556,112,183,828,418,924,046,284,961,
103,709,244,196,670,567,676,443,263,915,890,501,861,788,466,699,615,493,951,
073,079,167,561,099,987,376,847,876,977,077,333,575,761,700,587,930,004,584,
290,264,648,967,332,903,434,915,120,846,707,289,831,376,715,791,644,478,706,
676,958,653,291,736,519,761,589,128,497,484,195,850,535,021,184,208,788,360,
934,973,113,778,299,166,117,160,547,354,194,828,078,234,327,540,833,943,326,
379,336,051,862,014,006,216,219,217,564,449,557,350,379,416,355,173,114,112,
886,510,924,549,841,375,970,313,910,725,349,057,637,605,339,610,416,402,009,
205,225,438,650,925,361,429,489,554,041,468,397,155,486,506,224,467,932,510,
420,583,373,873,316,718,709,366,418,454,256,093,397,089,239,263,977,235,971,
529,978,470,782,376,058,305,492,578,633,385,079,036,700,269,541,411,813,211,
812,768,918,297,442,947,870,322,251,746,645,750,787,611,705,611,787,947,566,
685,963,508,088,360,930,535,651,716,531,902,207,752,026,713,235,204,277,989,
553,919,770,490,193,990,243,458,015,340,518,926,461,066,294,280,245,343,781,
547,886,602,396,898,456,128,239,122,507,616,476,232,322,785,133,109,174,517,
550,330,152,303,885,574,905,995,531,326,056,724,908,729,116,815,000,582,436,
765,745,704,410,889,174,317,204,431,553,129,123,062,914,602,615,683,656,261,
414,338,072,230,262,554,773,944,092,162,224,566,365,234,499,698,371,638,537,
233,797,402,985,728,422,829,049,606,600,267,557,586,758,627,132,144,662,509,
843,527,156,909,334,619,654,486,154,800,805,318,192,617,807,760,934,492,822,
141,270,290,629,649,013,508,642,625,607,120,123,114,594,077,410,983,875,092,
035,625,360,379,978,884,948,677,624,702,021,902,321,452,049,448,436,012,868,
241,587,933,099,090,772,301,985,992,856,468,196,423,576,300,418,628,139,090,
427,033,808,422,707,018,561,987,623,267,083,267,177,592,739,224,719,415,550,
675,920,013,580,104,461,572,105,026,056,181,658,450,682,888,901,437,092,331,
892,100,836,628,108,779,102,163,060,280,668,735,799,557,838,468,693,128,972,
461,942,429,667,185,596,896,280,577,298,475,727,007,671,235,439,336,037,495,
372,800,930,865,368,347,087,456,330,583,123,957,313,939,989,200,707,034,878,
749,402,686,987,838,089,956,629,582,381,472,274,089,469,881,700,340,601,975,
018,059,542,067,703,918,804,168,659,401,315,364,915,600,810,082,512,438,682,
392,226,087,644,520,422,681,871,831,918,505,716,886,195,712,711,154,182,490,
254,128,637,801,355,813,498,467,527,080,264,699,385,759,621,451,704,649,218,
313,428,719,737,822,346,931,571,262,951,297,587,698,544,449,073,497,257,802,
774,122,987,767,216,016,179,326,105,052,698,365,732,412,648,933,828,232,899,
145,405,295,156,615,071,981,056,108,381,250,031,473,173,203,083,881,639,368,
576,247,462,912,789,962,783,566,204,915,689,184,478,765,264,456,495,472,289,
647,101,543,864,060,839,634,272,529,389,349,871,195,931,416,966,775,077,302,
065,519,960,306,822,565,241,515,268,256,872,411,105,824,504,193,042,717,015,
899,393,854,166,876,248,051,049,220,040,435,930,400,349,385,861,430,788,863,
037,883,623,029,580,169,621,805,337,307,392,336,262,754,653,200,965,224,800,
311,156,553,602,422,840,377,859,938,966,372,968,868,979,919,249,569,942,222,
729,206,751,925,359,649,614,329,239,546,323,539,789,058,065,438,048,925,280,
041,978,024,428,249,901,217,279,357,417,436,363,040,505,347,810,267,237,183,
598,668,427,645,929,033,245,297,084,513,477,824,106,365,507,033,361,913,722,
964,425,702,751,150,062,209,906,663,986,111,688,788,303,645,075,111,471,608,
416,809,847,810,013,855,591,165,266,598,926,868,957,494,041,615,763,694,934,
101,701,251,333,861,685,548,702,303,695,369,017,227,495,252,887,237,557,752,
558,109,668,186,466,765,949,750,548,112,730,603,315,713,609,940,486,887,337,
957,303,941,119,387,481,072,972,162,956,991,493,144,863,406,040,143,366,138,
543,033,605,907,523,911,266,534,659,679,631,369,423,522,893,282,177,684,709,
865,230,462,340,128,679,038,121,203,394,792,696,069,660,027,048,907,709,434,
828,009,761,787,784,717,690,094,212,801,109,531,558,030,216,340,093,525,845,
868,859,646,307,578,674,813,458,250,478,159,052,204,724,952,648,487,223,913,
676,947,931,062,873,504,590,590,147,612,020,455,770,542,007,802,249,799,677,
548,122,306,856,262,037,269,336,456,991,219,975,352,060,854,694,671,812,648,
363,751,823,155,528,835,598,047,856,805,001,682,469,802,729,201,025,908,767,
099,391,471,893,006,798,080,801,988,147,816,658,483,050,271,241,610,449,303,
205,251,860,533,103,369,260,721,609,247,466,822,604,834,900,591,915,642,894,
404,977,874,909,424,771,227,832,726,109,425,644,226,812,995,784,759,832,301,
555,753,031,108,976,817,899,621,285,977,089,527,355,265,301,389,759,201,424,
403,315,702,590,733,364,980,393,299,093,300,150,514,905,769,247,035,146,734,
666,403,718,963,516,492,794,751,853,676,747,906,150,010,405,664,714,474,469,
464,008,803,220,172,047,394,283,655,283,796,952,132,709,904,456,733,790,484,
234,220,295,094,841,454,877,115,760,819,557,169,371,527,889,904,782,031,523,
688,851,399,440,301,439,185,224,354,169,195,830,824,785,566,969,243,306,673,
467,954,746,163,019,767,447,643,942,545,048,182,993,550,621,782,793,520,499,
664,869,824,214,438,024,439,787,357,947,710,960,447,433,391,148,686,715,660,
586,445,022,136,872,419,996,702,313,721,511,773,508,652,646,485,454,677,947,
103,807,426,373,730,279,634,920,137,495,954,732,779,427,584,937,080,100,706,
520,646,937,958,773,934,756,542,564,473,065,728,443,280,568,802,842,710,796,
327,677,594,475,402,699,906,479,294,519,668,806,227,203,135,195,687,215,056,
873,632,174,067,133,296,842,455,877,782,536,136,469,748,411,884,503,927,427,
440,373,413,543,699,274,767,488,149,992,216,948,740,490,608,303,470,618,808,
807,552,947,339,843,066,771,070,350,972,968,584,270,869,236,270,541,458,641,
196,641,359,315,890,415,627,072,931,860,976,199,522,366,955,476,141,187,561,
959,916,518,200,184,932,493,304,572,615,859,157,703,608,045,662,014,611,250,
614,559,010,272,459,552,632,589,865,686,618,023,958,723,130,212,424,691,171,
435,485,034,132,961,469,024,552,953,743,869,214,207,013,026,101,771,846,595,
841,579,424,787,410,327,044,839,599,278,529,962,470,564,231,494,313,665,170,
580,939,884,092,637,144,618,559,774,046,123,531,415,926,413,205,552,033,420,
471,830,959,681,278,508,665,106,143,596,249,591,534,452,555,820,639,756,042,
601,047,163,713,908,737,215,936,563,534,921,385,121,547,210,836,710,384,180,
510,334,585,933,021,502,255,170,405,936,824,336,708,059,314,193,948,631,983,
345,396,669,711,473,127,432,573,911,327,594,677,161,570,839,785,202,340,387,
799,816,261,433,247,653,231,539,074,313,643,899,963,169,097,045,383,750,935,
776,058,270,026,185,063,597,037,855,668,916,647,377,257,313,525,301,555,270,
517,033,948,401,626,153,679,402,025,964,022,962,073,471,657,595,462,699,758,
064,457,262,363,228,748,241,207,700,510,964,505,114,505,265,826,252,593,696,
370,654,063,308,472,463,757,576,420,578,110,915,096,912,795,764,733,067,225,
695,738,354,349,936,668,628,904,794,979,377,753,251,876,332,064,657,775,376,
692,392,042,983,964,691,771,891,229,224,754,275,804,685,348,365,774,080,726,
320,007,692,380,483,915,515,064,400,868,703,448,812,408,805,492,980,045,262,
541,605,101,237,817,524,805,284,539,843,223,414,333,534,374,592,294,660,749,
855,851,475,646,999,169,563,034,898,686,453,922,652,507,189,214,620,556,953,
615,198,640,467,158,669,744,134,891,971,075,153,717,224,246,543,154,634,551,
499,959,065,570,404,187,659,634,216,766,881,186,251,220,876,100,092,811,313,
154,959,072,859,751,690,001,352,598,650,253,982,246,602,270,213,760,886,425,
820,605,618,885,022,882,000,030,140,569,526,723,934,285,192,035,209,257,803,
101,764,721,502,642,409,096,113,047,967,048,912,245,963,355,802,326,797,633,
845,917,081,107,221,295,485,542,563,377,450,917,129,567,114,698,301,755,968,
928,305,303,239,237,011,221,415,415,073,495,226,757,650,247,938,851,730,878,
754,881,242,052,970,802,083,075,751,994,926,019,546,865,989,364,009,822,636,
341,806,864,363,001,022,161,359,016,061,008,352,906,999,859,214,665,841,299,
028,750,454,172,919,829,776,449,832,607,868,613,622,125,636,357,161,611,375,
651,080,765,861,019,819,632,976,690,056,502,425,371,499,281,024,515,117,814,
316,000,142,503,122,619,072,076,494,517,820,620,389,504,202,814,700,104,751,
377,684,698,335,785,989,663,795,400,812,445,751,036,474,371,452,199,997,701,
931,786,412,490,063,723,195,838,796,600,190,091,008,544,045,259,497,771,941,
568,881,161,256,863,705,281,936,119,617,588,964,756,826,724,783,664,866,788,
449,404,360,472,068,959,819,296,355,654,360,183,728,947,275,556,202,196,303,
956,073,571,096,021,735,879,050,527,871,026,338,238,587,910,079,236,964,060,
251,585,103,157,131,931,579,020,816,781,709,436,005,178,914,679,121,977,613,
709,112,922,314,697,377,895,512,380,236,073,728,759,130,317,524,315,968,737,
920,244,883,687,609,392,431,283,504,510,690,295,448,520,137,868,519,354,505,
149,151,084,403,292,428,384,352,042,525,617,269,424,554,059,649,408,259,254,
872,265,075,996,440,836,072,574,177,729,222,741,860,077,263,015,734,305,779,
286,301,744,830,845,816,174,225,038,894,132,353,542,886,194,837,692,632,154,
589,324,105,180,947,523,765,244,276,964,034,330,125,768,680,729,865,313,299,
784,754,044,784,317,096,495,376,250,361,474,935,130,847,002,303,590,051,824,
324,664,149,521,167,507,397,165,958,445,297,114,919,985,971,699,060,719,068,
256,101,196,722,218,232,363,763,007,265,386,060,091,159,261,803,465,504,551,
295,735,025,450,014,307,354,921,254,298,674,465,132,814,945,724,797,856,981,
193,789,229,113,690,710,974,225,855,530,502,904,015,155,222,959,332,254,759,
175,235,592,764,599,366,799,261,742,264,207,823,261,762,819,925,783,844,692,
108,221,605,940,689,491,652,266,493,185,819,149,373,451,949,152,120,039,888,
253,633,590,139,976,475,461,294,091,392,385,843,385,314,140,116,396,310,742,
106,537,094,172,830,604,398,247,200,161,827,098,306,742,213,921,609,579,178,
993,081,362,111,272,536,156,707,558,223,891,135,830,345,306,907,028,818,749,
897,194,387,359,625,366,666,180,698,343,129,519,718,187,879,404,518,544,194,
438,072,097,643,566,854,238,528,658,156,084,226,814,751,337,398,431,475,642,
803,270,166,712,090,054,463,673,605,134,328,631,271,583,621,455,470,642,122,
156,883,020,206,710,418,975,960,990,876,132,030,678,371,162,715,999,151,750,
552,931,358,433,105,267,944,554,275,369,394,028,885,635,568,027,009,014,401,
794,686,929,172,635,044,107,135,473,622,103,850,487,183,963,414,996,505,381,
565,315,903,911,186,993,772,581,393,767,822,860,094,402,675,633,970,175,783,
637,553,451,204,069,428,437,664,007,425,864,744,119,119,155,552,468,445,249,
001,673,424,453,666,148,957,285,823,578,058,350,553,526,389,851,461,593,077,
074,754,852,959,575,725,866,648,042,615,472,811,306,362,556,389,220,485,388,
070,578,125,293,127,382,639,132,897,976,620,762,622,756,958,814,565,992,600,
942,455,969,066,791,607,351,733,487,047,305,327,792,703,048,228,777,490,948,
822,440,337,177,443,383,747,271,236,430,135,759,258,302,680,357,597,155,767,
023,487,729,966,659,080,174,403,337,846,241,648,802,700,270,880,663,878,207,
243,551,621,267,571,875,820,266,627,089,988,990,382,369,459,657,974,951,110,
450,257,286,835,913,628,066,532,923,346,164,225,104,192,106,410,502,636,671,
819,358,783,770,506,798,489,522,525,492,673,805,159,406,947,641,270,736,110,
200,085,529,047,928,133,389,222,394,101,927,328,284,297,606,077,771,363,103,
910,958,271,944,170,493,625,721,657,229,548,537,383,507,466,625,735,292,096,
047,643,664,338,761,425,311,299,371,538,812,491,504,740,375,784,122,556,230,
279,816,693,006,173,419,812,069,340,824,450,182,397,620,598,008,490,237,625,
090,801,530,964,669,359,640,928,189,690,881,323,914,842,913,488,488,893,262,
141,482,206,435,372,829,083,089,281,257,201,936,412,307,249,410,699,019,066,
838,671,197,365,606,832,427,635,653,201,141,415,612,543,421,871,143,954,970,
093,957,180,009,316,219,083,371,916,666,191,204,476,858,146,763,964,175,438,
283,055,456,685,233,496,497,472,744,218,642,125,308,413,145,263,807,428,004,
027,118,976,573,376,344,554,184,387,137,126,291,567,912,620,856,961,324,717,
239,894,218,017,077,224,927,038,059,010,892,324,063,540,760,331,301,450,364,
170,386,091,155,153,660,103,223,520,174,132,735,363,345,775,295,945,804,968,
168,302,616,053,197,886,000,852,408,266,647,950,252,549,292,353,192,856,506,
503,052,884,451,113,973,688,169,812,437,783,613,675,102,888,700,642,415,408,
268,210,606,265,265,022,254,077,456,924,685,084,908,075,732,627,299,927,735,
521,343,777,855,666,514,235,202,224,307,364,539,737,343,455,137,643,959,343,
301,336,717,493,195,016,819,631,628,016,632,883,826,502,956,142,078,351,157,
684,259,133,168,140,978,636,125,192,255,895,079,698,886,351,219,121,362,399,
806,355,143,988,523,467,824,104,968,735,550,248,308,155,617,024,463,103,500,
355,923,093,243,038,740,204,989,124,192,873,850,393,069,528,395,659,519,559,
664,016,511,307,881,039,917,481,690,700,510,412,277,967,994,380,762,578,049,
631,224,512,545,499,993,005,066,294,137,610,682,527,320,065,430,341,393,912,
130,533,185,117,939,050,177,925,298,542,412,678,638,939,155,660,042,323,023,
611,492,823,531,495,013,756,895,018,049,577,974,690,661,372,804,214,840,312,
079,583,907,961,222,834,638,317,201,617,235,445,945,159,595,908,435,034,514,
215,581,045,050,430,007,373,932,312,707,757,853,689,159,830,772,679,734,334,
077,268,846,361,495,404,441,876,321,758,046,645,142,617,448,205,520,812,416,
133,572,454,522,051,389,494,074,231,445,952,558,043,655,126,656,954,883,469,
995,718,192,685,300,979,158,001,976,207,645,135,131,089,345,600,888,786,097,
371,362,586,315,678,374,296,727,888,286,290,987,633,862,575,297,431,796,398,
628,783,013,823,864,678,585,991,994,600,471,380,878,961,240,759,479,576,623,
929,894,607,137,600,665,788,861,633,245,114,782,635,493,389,774,525,404,765,
955,752,255,147,531,549,658,824,838,742,098,616,272,738,812,091,624,527,819,
225,829,940,417,462,053,683,480,338,794,008,679,917,902,039,386,088,226,104,
485,752,804,116,185,944,562,154,593,061,081,724,881,988,298,144,995,586,697,
403,689,508,492,671,746,648,403,196,666,851,435,566,737,070,852,812,171,507,
238,123,508,804,028,726,485,275,135,236,912,623,824,770,652,647,746,432,503,
588,174,826,632,504,922,701,213,855,778,819,975,928,824,275,415,587,095,403,
892,229,109,019,818,216,523,713,659,511,948,733,477,286,374,908,745,820,754,
534,306,173,917,584,412,463,170,937,638,385,362,513,181,472,430,237,273,020,
918,901,197,086,616,022,794,853,535,423,482,937,120,596,266,966,664,267,864,
243,338,416,411,762,078,137,792,891,309,883,218,322,272,028,917,846,600,519,
459,793,589,953,772,795,208,040,678,217,363,867,043,484,831,216,613,195,973,
919,036,244,199,469,456,472,990,492,350,302,712,861,443,679,074,669,862,858,
473,480,259,052,772,092,883,748,519,885,012,162,439,569,890,008,555,182,913,
250,581,054,033,932,036,670,482,467,879,071,678,764,377,202,978,564,190,322,
828,817,698,411,628,421,709,833,098,224,436,675,485,612,581,617,978,220,993,
332,385,648,348,011,200,962,666,039,507,933,159,406,204,892,453,629,090,169,
351,965,218,125,412,366,732,433,130,310,390,035,093,967,507,393,643,924,424,
893,106,779,046,596,463,361,613,659,656,696,773,045,410,750,483,961,937,003,
877,017,452,478,207,096,754,413,318,478,676,981,228,750,887,514,846,520,220,
986,519,467,177,702,016,603,703,237,357,437,577,675,253,373,738,627,814,117,
254,358,753,784,977,742,639,314,865,427,194,051,789,339,503,446,338,211,660,
047,757,793,661,241,583,800,940,339,596,630,569,791,811,648,276,851,442,201,
104,839,896,002,923,974,132,854,404,194,184,538,775,926,945,049,290,063,940,
581,916,318,610,696,856,550,115,910,270,248,143,487,575,218,721,384,811,238,
905,541,481,776,544,132,888,624,101,920,702,242,525,075,976,107,594,193,043,
287,823,128,714,827,138,333,486,166,106,293,699,372,534,389,840,620,906,853,
002,988,043,814,042,964,395,906,954,600,955,165,778,275,631,853,428,125,839,
056,414,162,222,536,381,673,961,417,477,769,325,139,638,748,602,148,024,674,
833,354,532,587,428,270,806,976,886,288,487,196,747,576,119,428,071,788,214,
873,357,686,597,323,581,363,054,826,135,179,053,639,209,556,386,196,327,380,
189,866,490,029,506,230,892,961,704,712,179,400,519,266,068,994,533,678,225,
779,713,048,587,576,971,696,504,614,669,841,060,837,004,275,376,240,654,082,
277,716,012,794,997,529,421,958,156,626,225,688,891,905,164,980,776,517,860,
146,139,434,461,343,148,801,727,773,365,655,223,862,607,689,556,014,589,373,
885,981,191,468,916,858,646,332,757,602,323,617,164,003,858,274,469,793,480,
785,931,143,335,501,678,078,391,357,090,522,466,838,432,853,076,991,673,589,
943,060,526,298,199,040,921,533,914,444,235,628,377,582,795,600,821,508,812,
941,355,744,557,932,974,218,581,448,586,716,388,768,219,048,201,326,612,264,
227,863,807,943,311,619,595,820,294,852,958,342,504,009,622,037,522,959,771,
478,877,278,489,685,433,596,120,862,382,578,219,461,427,159,055,423,015,854,
667,554,516,150,171,811,720,746,504,597,214,431,282,743,781,087,289,556,638,
017,581,094,518,594,098,198,426,427,961,050,860,640,621,997,774,366,248,063,
344,834,862,591,939,992,576,729,961,681,426,116,412,433,773,986,138,282,220,
248,144,234,289,302,059,539,827,521,455,424,162,973,109,642,012,579,396,675,
565,594,961,395,038,170,658,231,602,674,446,554,331,628,887,388,931,705,682,
892,900,215,525,366,286,277,378,801,729,220,674,425,946,183,561,572,176,351,
430,429,872,477,284,514,523,195,954,654,466,597,411,923,167,318,729,878,478,
345,446,207,132,425,326,289,464,628,669,619,287,300,114,026,941,321,726,684,
142,959,546,501,575,676,709,888,460,210,380,820,451,600,811,418,872,474,773,
210,605,519,135,270,020,599,810,106,393,877,268,207,426,161,317,040,289,763,
555,243,866,162,380,634,402,141,804,923,381,952,230,332,247,552,516,592,137,
945,760,766,599,072,139,791,099,326,483,704,750,527,377,181,258,387,849,600,
861,563,828,053,320,951,564,877,804,345,532,125,676,065,432,907,008,006,613,
452,416,390,811,021,589,851,657,620,274,423,361,282,701,448,606,057,280,833,
774,589,265,107,654,899,077,623,713,048,927,482,562,099,185,292,070,336,732,
600,055,178,773,039,583,766,595,465,738,620,796,552,452,584,094,857,616,128,
323,287,269,604,635,173,846,846,958,723,364,586,616,026,713,923,852,620,703,
469,682,364,830,180,336,462,720,697,971,160,079,313,212,547,678,711,298,687,
108,411,970,282,911,278,851,378,610,979,580,148,627,094,267,769,607,009,532,
132,869,800,835,317,180,646,685,402,461,222,499,122,353,110,855,906,424,872,
308,156,280,420,592,403,648,495,399,178,865,762,393,671,598,281,554,607,660,
874,152,823,739,522,333,096,671,374,866,315,104,966,682,801,114,131,079,397,
543,545,652,895,224,273,995,527,146,550,262,220,549,379,920,245,941,661,211,
168,610,539,302,441,433,912,878,790,765,664,025,024,563,011,936,727,288,631,
037,693,209,869,533,966,609,508,879,889,625,525,666,478,231,891,304,150,311,
328,467,841,632,505,416,313,963,493,499,711,638,184,865,288,480,543,110,279,
974,556,670,075,531,346,004,065,904,687,211,870,337,466,735,331,679,276,883,
035,791,729,369,158,360,775,585,041,508,325,708,861,444,062,785,292,596,078,
030,784,271,238,994,088,165,445,288,997,627,144,690,242,994,732,042,764,387,
686,593,157,972,135,382,166,580,178,549,090,663,251,800,363,334,995,500,467,
159,363,570,670,461,549,807,292,357,892,943,612,253,595,727,426,708,076,900,
445,334,660,661,843,028,780,855,631,353,586,441,652,915,628,095,215,488,723,
049,788,848,986,615,648,647,063,034,028,764,212,961,843,942,043,472,938,726,
121,724,473,189,622,633,191,282,350,243,897,088,287,208,691,525,012,044,187,
362,446,667,028,941,088,194,411,496,703,891,993,952,377,994,935,359,340,848,
309,685,401,395,981,502,075,525,093,811,628,063,566,150,441,538,459,154,803,
656,443,406,843,493,295,489,845,156,305,007,951,242,925,687,344,275,398,338,
177,383,572,708,782,680,422,409,240,678,016,314,347,719,639,137,595,217,190,
755,460,692,796,231,759,952,997,266,926,091,788,100,776,392,619,511,392,300,
570,034,822,099,618,219,189,045,777,066,949,786,203,774,700,167,213,440,377,
771,276,464,780,520,643,349,569,343,057,934,452,064,840,126,680,307,758,454,
040,835,518,741,742,715,349,789,212,221,573,700,647,496,061,643,533,913,501,
964,985,452,928,122,262,990,361,161,691,984,729,372,913,759,873,106,397,135,
492,509,307,320,454,421,152,082,624,197,350,663,455,859,430,150,161,838,494,
590,837,308,644,409,543,322,357,194,767,658,599,185,056,152,444,079,056,773,
046,652,330,240,450,434,386,098,471,534,553,977,529,043,303,962,971,780,190,
620,584,851,016,175,072,295,702,239,047,693,655,502,867,104,873,652,417,332,
718,383,589,584,352,147,586,307,497,429,881,051,224,890,132,278,779,821,339,
993,101,891,058,427,187,573,355,370,514,845,963,968,669,634,966,856,062,594,
626,639,188,317,416,401,797,241,549,573,595,409,532,364,972,196,484,961,304,
431,925,071,333,347,582,553,918,766,112,823,177,846,031,474,950,679,551,215,
125,649,719,571,226,894,006,119,005,871,803,640,051,079,442,844,837,313,570,
146,601,021,162,400,181,102,753,656,831,953,239,063,643,548,003,511,066,263,
755,413,219,530,977,307,697,094,742,184,444,167,672,214,014,175,432,930,916,
081,233,413,220,860,676,856,418,937,084,941,086,599,239,359,761,783,980,301,
934,004,588,059,067,761,664,143,232,422,273,053,508,332,562,255,107,504,424,
009,630,363,772,241,792,411,934,858,178,021,118,011,738,638,987,546,900,503,
946,676,658,442,894,423,277,010,604,530,697,361,946,340,977,676,974,467,578,
078,906,140,764,928,677,415,117,824,029,691,357,208,453,164,208,417,785,706,
853,113,026,587,290,356,777,298,907,870,812,642,641,959,291,049,649,223,774,
874,654,157,808,311,451,051,130,663,507,011,647,419,109,736,772,432,812,360,
894,630,665,041,492,277,534,404,362,391,074,673,807,398,092,723,348,001,058,
624,006,150,142,099,024,448,987,437,340,672,521,794,978,299,255,201,704,151,
073,001,483,323,840,165,556,687,640,390,863,858,419,899,934,987,550,826,162,
087,803,619,970,703,646,195,464,922,328,274,535,792,107,402,964,348,449,008,
044,887,666,408,910,291,701,639,220,336,398,085,372,561,815,838,217,708,187,
005,637,303,463,315,067,227,602,896,896,643,380,692,661,961,505,365,218,747,
030,490,028,005,517,373,353,968,671,284,031,345,147,989,810,802,398,255,869,
175,993,524,934,356,906,408,501,712,147,262,950,008,821,772,250,540,588,225,
224,067,235,415,343,884,061,131,260,000,224,312,339,993,661,838,112,567,923,
456,358,964,038,715,808,065,388,898,651,350,539,232,728,509,007,592,912,841,
908,561,024,144,851,604,678,420,092,482,849,906,736,147,495,964,701,180,154,
559,780,341,038,230,726,417,076,377,753,982,573,685,597,254,360,819,049,317,
923,620,042,728,914,955,942,802,118,676,895,671,649,345,115,155,626,335,907,
487,791,537,401,768,476,539,316,497,461,655,735,304,794,733,814,197,387,143,
353,058,612,460,932,086,213,243,894,103,271,808,998,328,417,011,428,922,510,
318,641,173,281,530,811,786,883,896,423,114,806,989,801,590,604,469,666,175,
164,278,910,546,435,458,468,073,789,307,659,613,575,417,165,019,885,165,971,
279,267,731,054,101,196,347,051,857,491,227,673,752,362,220,841,308,021,126,
888,907,547,796,914,360,698,646,760,261,863,601,603,624,855,043,169,009,978,
185,982,394,718,379,685,045,768,420,076,492,245,819,047,070,228,758,603,282,
085,673,457,357,228,781,942,202,854,146,035,699,204,252,680,970,492,302,936,
296,383,011,843,062,072,599,012,618,818,932,856,940,683,633,442,904,908,257,
353,524,578,988,271,846,825,386,600,647,532,884,394,359,162,236,738,227,681,
005,009,003,493,656,577,792,999,427,883,346,546,741,498,119,870,218,262,064,
965,344,957,486,897,060,244,549,098,721,397,223,150,176,797,647,073,591,360,
489,824,511,589,466,947,598,272,494,502,500,798,731,443,351,323,845,156,329,
562,950,519,443,733,112,510,425,966,908,782,152,706,725,221,589,222,884,354,
643,036,345,827,765,258,225,182,923,498,088,539,048,098,133,292,359,462,805,
029,270,721,379,070,464,991,405,183,135,275,549,655,994,438,565,543,481,833,
747,695,946,053,446,422,196,949,557,794,068,580,275,577,216,114,358,637,695,
691,763,260,444,904,993,116,584,386,116,465,330,963,968,826,714,014,019,734,
740,079,899,875,118,195,168,396,567,317,512,404,392,259,663,698,228,761,223,
469,500,188,884,854,562,876,803,997,212,589,840,036,642,455,693,787,261,285,
736,658,918,392,205,915,750,406,217,714,147,821,748,830,080,103,717,793,223,
811,409,064,069,272,188,540,497,854,309,442,787,020,024,889,484,016,463,755,
179,630,875,767,080,324,366,424,787,354,012,313,976,788,034,586,567,320,641,
315,247,530,509,737,569,459,154,229,043,283,159,578,700,540,699,858,064,014,
646,585,272,603,598,275,565,847,050,977,698,104,041,625,392,999,352,299,176,
827,936,083,050,926,925,665,539,851,649,536,703,912,625,231,083,925,519,281,
982,397,719,157,271,262,971,287,213,003,421,943,049,917,713,172,986,194,784,
246,277,571,583,332,339,742,715,792,832,922,857,211,846,852,282,973,203,802,
076,939,148,952,075,720,666,891,323,468,278,285,889,995,786,767,528,798,205,
664,783,279,871,553,356,013,279,189,510,428,466,875,748,890,470,606,259,398,
733,238,728,928,241,171,049,136,402,541,489,806,923,416,501,796,165,634,325,
326,091,502,752,403,546,954,259,507,815,317,623,093,843,742,681,478,474,822,
525,965,186,499,411,872,490,537,258,241,026,138,439,585,727,497,646,353,521,
825,256,279,473,195,225,527,577,650,329,028,855,324,808,462,378,022,712,427,
225,533,234,074,971,923,636,746,232,132,423,073,028,771,166,854,466,974,693,
252,667,146,769,962,460,117,612,452,085,673,906,251,623,042,686,762,716,807,
465,665,032,529,618,690,575,294,361,793,803,789,132,145,733,054,588,879,590,
666,305,286,982,068,984,883,106,589,587,444,382,568,942,273,583,053,241,089,
978,700,962,592,915,886,330,111,657,258,657,100,152,188,671,033,117,848,703,
597,726,730,483,912,698,562,546,868,538,155,078,362,459,232,713,260,253,931,
221,249,242,537,432,899,886,537,736,224,950,012,327,437,362,988,299,759,716,
164,218,340,935,985,940,437,267,233,645,700,838,098,176,957,472,766,497,078,
986,001,532,258,045,527,210,485,708,748,386,424,096,158,618,013,368,900,759,
919,798,009,097,918,059,297,948,172,484,231,691,946,012,509,874,098,647,401,
752,232,112,049,212,721,242,545,605,644,840,404,600,447,891,119,179,061,975,
146,491,677,933,997,691,602,587,009,884,823,551,841,245,380,928,902,387,144,
062,013,305,052,873,023,264,545,271,763,549,230,240,417,860,833,796,505,635,
357,197,317,886,849,234,355,665,706,497,318,601,008,953,980,617,202,581,709,
867,773,724,533,398,376,589,372,043,775,511,503,813,298,443,878,378,812,527,
311,855,524,885,572,754,836,660,052,374,480,828,996,557,957,679,919,118,052,
339,023,002,664,079,695,862,046,115,738,081,960,955,730,826,843,689,601,903,
576,324,515,990,522,018,065,695,020,500,176,571,924,891,873,893,438,855,619,
334,066,907,367,098,675,787,144,638,009,162,678,298,642,581,722,703,830,718,
654,763,694,662,593,087,295,041,078,166,169,115,087,452,542,909,764,305,318,
392,719,756,018,621,853,671,703,022,804,198,373,815,009,235,733,603,437,431,
737,280,997,319,416,017,931,581,915,211,665,155,971,921,496,797,503,021,468,
995,471,021,620,151,668,654,466,369,015,771,255,118,015,198,594,580,986,005,
401,399,592,547,898,849,164,032,631,118,114,639,836,509,626,866,969,125,330,
731,148,727,887,954,252,912,831,342,704,900,689,564,015,591,856,887,683,218,
384,898,297,611,293,765,642,049,169,962,944,671,933,672,768,398,364,899,990,
762,771,692,768,725,156,525,054,974,436,921,643,540,328,902,105,470,119,118,
313,113,851,905,259,504,613,119,313,944,769,141,302,584,054,917,297,418,187,
798,770,028,245,770,383,248,687,549,627,173,907,676,143,640,203,428,947,740,
749,901,973,027,935,940,389,702,330,864,814,456,958,485,663,140,199,536,068,
453,568,465,522,091,273,105,105,610,367,365,989,613,319,397,662,465,680,836,
468,607,820,018,144,998,406,541,388,033,610,319,989,651,086,634,141,831,429,
650,598,811,577,776,268,752,691,106,765,159,813,814,172,400,891,363,958,354,
362,668,179,156,516,606,483,521,752,983,341,043,690,024,629,430,247,176,961,
022,865,487,898,281,572,427,208,826,902,344,529,103,476,138,324,984,917,534,
563,793,688,534,819,073,060,250,528,284,364,816,512,729,521,460,073,831,665,
334,560,088,514,096,624,152,662,779,165,710,556,985,667,025,399,555,740,193,
048,648,436,955,353,964,126,097,927,467,957,655,301,663,893,765,195,767,673,
109,226,359,272,526,799,339,303,711,700,116,246,899,997,562,864,390,748,874,
792,528,851,434,312,809,145,307,540,987,247,144,435,912,048,455,533,546,130,
779,331,386,992,484,488,876,930,213,567,694,728,740,533,296,031,405,152,726,
481,443,869,655,950,486,143,975,888,041,153,006,729,172,921,402,976,236,463,
780,483,987,055,461,097,622,974,016,664,609,211,783,890,808,337,318,358,216,
144,732,861,914,041,178,755,233,156,395,642,610,206,894,027,145,223,250,484,
877,039,989,039,758,375,452,359,250,573,882,180,051,222,439,437,584,895,877,
553,395,753,208,914,661,976,397,889,076,494,910,304,847,882,392,557,649,007,
187,232,224,413,211,846,393,925,587,453,039,686,540,973,432,224,036,754,352,
728,071,716,809,511,352,000,467,437,703,899,814,918,853,279,574,667,333,117,
665,543,812,270,478,383,706,226,373,140,768,594,399,173,949,835,022,544,340,
764,169,400,873,188,768,688,998,549,224,193,999,684,222,922,266,627,703,846,
358,977,894,805,835,131,263,735,370,435,304,012,394,859,642,936,755,017,267,
809,978,850,570,169,794,679,822,317,188,961,680,986,258,751,683,379,064,733,
739,175,502,758,804,791,141,121,450,444,501,422,423,913,789,624,422,430,708,
466,389,499,046,320,255,854,023,036,177,234,909,413,036,594,524,713,853,955,
013,847,635,381,617,010,194,818,692,564,390,512,427,204,426,798,241,825,639,
760,781,333,654,513,191,581,033,851,708,249,262,602,986,651,384,795,791,243,
113,424,032,602,749,171,722,345,426,167,737,352,187,677,001,249,811,296,787,
481,721,708,061,034,227,159,994,072,544,945,456,411,951,476,289,913,878,518,
479,832,000,797,405,401,912,126,515,888,394,346,519,952,850,249,983,347,851,
977,862,599,806,264,195,625,802,603,096,200,931,645,457,134,557,262,110,551,
867,330,133,229,503,559,752,336,133,514,277,004,148,926,339,672,080,000,273,
450,901,876,704,710,712,819,855,556,985,832,602,823,113,845,883,429,270,281,
057,146,108,737,213,261,497,535,167,154,070,308,368,778,354,522,395,985,218,
967,613,690,518,547,601,399,964,313,260,510,483,276,134,910,984,056,794,185,
089,659,863,145,077,849,475,898,322,306,913,278,135,500,680,530,867,462,973,
851,081,935,076,509,225,806,099,889,678,665,009,552,322,716,046,475,272,698,
597,588,811,236,168,872,282,245,914,976,856,011,582,897,904,734,311,250,324,
843,282,200,362,108,214,820,291,519,755,877,827,274,892,316,574,588,853,757,
520,598,115,923,236,231,478,249,816,561,317,730,535,854,211,213,390,639,419,
229,848,694,611,127,231,067,267,005,027,443,223,370,876,483,137,071,180,602,
663,440,351,732,889,010,494,953,495,262,551,790,377,775,599,890,620,194,668,
102,462,206,606,400,185,016,549,740,525,587,208,770,943,812,170,856,116,464,
443,486,711,058,173,753,597,455,914,613,532,607,139,420,428,592,421,267,116,
273,939,042,509,804,418,123,748,909,814,987,533,303,580,390,810,424,509,821,
374,179,308,943,421,650,549,044,109,458,074,082,798,254,237,875,990,259,125,
873,576,725,039,575,810,599,909,066,694,805,712,117,042,932,206,847,016,509,
228,389,023,473,268,431,333,247,741,455,943,563,752,216,886,451,148,483,479,
950,117,539,838,178,733,507,923,622,403,456,490,960,818,768,621,593,401,821,
349,867,241,422,354,174,396,165,864,699,804,909,233,042,751,788,915,574,556,
861,144,738,129,238,146,233,373,269,664,807,248,141,519,080,273,426,200,520,
156,697,371,915,210,319,552,563,153,671,819,088,658,458,503,095,030,361,633,
361,253,859,300,241,996,207,176,255,516,174,440,847,867,989,823,156,941,451,
559,028,932,938,180,276,620,818,201,723,556,929,847,014,726,440,430,343,333,
181,858,389,012,153,351,765,962,681,960,089,855,202,135,032,591,554,222,338,
446,986,081,879,726,092,669,372,566,417,814,769,216,093,217,801,892,206,859,
561,937,206,904,963,776,699,640,721,176,006,765,545,538,024,311,316,925,894,
398,768,455,600,836,431,043,214,096,115,675,031,087,262,956,486,982,124,137,
380,904,797,372,103,041,003,815,027,490,728,322,465,691,842,080,238,862,017,
316,876,960,829,913,184,346,756,957,444,103,926,639,684,977,378,716,505,771,
644,665,291,773,302,415,425,945,095,270,984,237,672,028,986,965,525,916,099,
659,808,115,448,653,266,681,102,365,206,264,264,598,950,737,682,198,764,431,
950,097,105,780,039,718,467,498,127,705,305,435,324,881,864,111,847,573,877,
409,344,338,246,796,045,748,424,492,840,348,720,028,197,652,717,911,336,110,
896,700,536,964,577,066,873,153,017,108,062,294,553,736,657,147,239,045,631,
964,358,449,705,629,418,335,153,162,978,955,329,931,588,600,051,319,521,931,
368,718,567,205,554,626,330,002,876,251,074,639,582,416,428,831,013,989,135,
667,314,159,549,526,960,498,608,219,527,639,572,857,373,936,059,374,843,231,
997,043,170,661,256,433,586,566,394,869,769,764,077,525,110,377,357,334,178,
311,834,990,501,785,010,791,066,218,695,227,416,718,466,766,076,842,543,293,
291,093,372,505,821,280,289,776,563,614,880,186,189,735,223,007,393,724,978,
408,302,028,834,590,380,014,637,970,062,133,496,892,010,216,393,741,846,457,
888,871,280,503,590,276,127,952,495,495,586,025,878,031,084,416,960,699,942,
157,298,297,492,892,323,834,209,410,252,070,970,979,629,294,135,514,311,641,
214,588,491,003,819,022,183,915,112,580,297,040,670,088,625,895,616,065,581,
045,355,143,843,552,624,857,584,780,974,208,732,694,995,257,349,499,340,420,
407,759,089,702,341,884,719,056,264,972,743,511,531,578,740,294,305,619,571,
770,465,892,681,114,467,161,694,214,729,074,874,890,579,615,813,055,044,501,
542,551,898,160,856,771,341,246,368,367,843,995,211,541,206,808,727,442,169,
438,277,598,615,782,884,222,673,267,142,560,822,415,347,187,073,183,642,039,
620,508,399,336,194,937,503,737,646,143,466,519,588,708,950,258,247,633,756,
121,478,846,140,604,650,242,656,586,254,133,906,861,631,006,101,375,783,951,
108,114,040,789,848,237,572,784,648,601,133,125,548,739,975,525,353,298,279,
092,368,544,660,665,541,825,142,605,787,877,846,332,381,473,065,668,022,140,
509,646,605,903,952,280,060,298,946,204,025,369,839,540,876,306,325,046,720,
789,244,769,803,102,382,439,635,666,030,847,681,868,110,130,964,153,878,481,
476,768,985,951,357,480,248,308,944,648,856,958,806,590,347,434,056,881,784,
244,724,601,050,657,817,082,776,093,848,918,276,722,923,218,502,539,612,802,
568,692,881,329,173,347,328,588,309,817,908,555,892,479,992,224,669,507,486,
542,276,338,254,156,411,095,188,163,310,174,621,078,251,953,382,599,329,034,
410,814,880,707,991,330,326,164,856,016,751,303,488,488,128,750,654,615,418,
999,767,731,668,715,538,835,646,357,605,890,251,894,024,424,790,736,803,844,
381,406,997,304,911,810,473,431,720,120,904,772,785,621,403,465,583,053,932,
696,997,982,745,316,986,120,153,172,856,519,611,534,978,020,181,291,020,111,
393,256,855,966,489,120,913,774,290,160,478,169,926,256,013,325,451,231,506,
458,931,877,679,059,973,796,275,019,235,640,817,837,577,251,205,912,618,371,
253,290,725,727,620,400,522,521,418,677,140,793,585,670,480,511,631,515,192,
173,956,413,059,326,970,286,415,577,880,763,126,202,117,915,315,166,986,403,
429,590,170,027,608,612,308,210,988,010,743,894,683,684,398,433,598,451,605,
656,192,866,024,741,738,603,011,872,595,590,821,090,304,855,182,807,853,596,
687,290,005,886,769,261,317,545,688,770,392,497,479,742,499,377,160,177,873,
536,156,818,723,029,486,296,952,783,102,320,057,529,943,297,893,539,332,464,
529,767,411,587,904,979,031,617,237,569,236,520,647,894,844,223,203,116,719,
333,616,701,766,748,639,054,240,028,903,939,350,040,476,189,250,195,863,674,
273,603,816,847,196,652,843,241,467,947,178,315,382,508,230,323,260,818,361,
100,066,943,288,302,861,492,591,745,777,605,338,459,153,280,950,290,814,872,
603,582,717,927,346,415,788,453,820,660,806,078,568,695,204,196,113,364,138,
677,623,917,102,571,814,785,708,010,475,201,760,837,860,552,059,481,776,106,
572,528,886,188,231,338,603,679,994,334,565,505,813,544,463,760,766,827,752,
252,606,926,968,652,882,847,316,287,737,737,719,055,031,548,019,267,013,244,
607,073,010,458,439,015,808,286,934,034,031,695,936,381,384,522,699,242,167,
785,344,703,847,290,700,141,447,788,018,097,293,498,681,251,007,588,365,653,
872,154,145,604,952,204,580,393,038,696,011,932,958,856,874,073,916,543,117,
422,737,542,705,200,563,802,804,197,569,320,416,774,157,686,062,563,393,622,
271,416,906,371,783,534,035,193,470,480,628,312,094,056,206,615,697,971,032,
223,823,982,375,431,750,702,304,067,675,090,391,848,291,404,747,156,792,684,
972,000,818,560,754,070,494,502,462,948,649,505,314,528,819,001,930,562,255,
785,036,678,836,375,186,808,259,193,308,225,652,940,045,583,784,403,483,884,
556,325,841,111,738,030,360,887,551,394,192,030,564,109,874,869,178,161,178,
498,283,430,855,895,952,675,546,511,798,543,601,609,017,382,616,827,559,471,
222,222,922,605,650,263,082,614,435,626,148,445,623,169,255,677,642,022,436,
884,297,398,596,601,434,828,608,688,247,300,215,977,563,702,939,287,159,208,
462,660,368,620,368,390,786,458,929,496,917,441,468,036,536,858,377,732,550,
079,948,630,240,358,320,899,611,250,177,429,568,020,808,170,510,784,298,982,
521,201,503,078,715,687,970,786,290,823,203,064,708,559,825,351,041,622,206,
740,499,891,211,795,011,041,958,637,189,507,910,754,706,405,515,701,844,922,
890,152,185,600,712,555,183,914,624,917,043,412,229,727,735,266,674,215,531,
893,655,031,199,733,649,251,934,841,821,145,042,990,508,171,888,571,263,413,
704,494,746,336,454,831,024,561,835,659,429,878,476,835,748,092,541,480,159,
328,029,736,871,730,886,685,267,070,919,678,752,052,238,629,634,743,447,942,
614,681,926,458,703,318,461,763,370,506,430,888,108,340,398,912,050,889,785,
906,794,104,433,478,333,617,088,444,274,840,373,697,365,047,975,772,875,291,
740,111,262,703,246,241,106,108,600,644,900,861,278,210,560,008,287,768,819,
115,895,102,508,124,797,321,005,330,538,849,234,133,182,883,178,122,638,867,
377,211,488,898,276,897,764,549,289,449,074,315,019,534,693,559,996,333,795,
851,270,300,275,817,340,951,861,959,129,598,208,623,338,464,313,603,692,622,
593,891,385,816,134,172,394,464,144,748,777,847,507,103,387,543,927,247,719,
866,914,956,091,204,055,898,518,777,849,097,558,318,354,029,368,355,875,813,
818,706,958,142,184,662,446,639,465,941,327,289,727,796,158,460,190,781,867,
191,408,346,483,790,364,274,969,933,447,509,280,413,486,136,870,663,744,594,
845,494,768,252,049,181,817,153,100,689,416,609,481,229,615,881,846,298,604,
458,565,966,229,972,220,905,605,051,917,473,240,962,552,119,390,062,775,546,
930,170,557,272,214,866,798,066,855,067,336,829,798,048,369,951,782,402,941,
348,833,551,459,736,058,205,672,774,170,264,209,654,863,180,682,354,854,729,
185,643,856,354,602,431,210,173,184,628,779,891,789,092,776,018,317,493,197,
819,577,643,275,971,850,934,344,110,014,437,837,373,366,108,568,184,476,586,
172,751,406,722,755,076,033,720,049,527,988,455,681,703,659,007,752,733,923,
442,665,077,980,823,222,268,272,221,481,896,952,859,904,336,671,212,346,321,
006,792,932,197,800,853,206,603,088,938,305,999,279,338,999,463,644,326,669,
337,523,841,195,648,933,283,932,250,282,850,008,943,393,892,791,174,606,973,
482,192,591,353,248,025,439,702,531,080,180,420,553,335,763,414,214,390,639,
251,877,498,415,146,117,613,843,504,424,915,819,088,720,873,394,079,455,354,
380,539,111,964,282,725,028,799,330,740,665,045,459,273,078,335,212,841,104,
271,493,289,994,204,432,629,449,176,419,590,731,761,927,857,408,427,115,490,
361,907,490,500,001,675,293,690,099,787,102,397,804,117,530,216,138,147,222,
252,192,454,695,077,534,621,098,643,113,028,079,942,219,764,296,355,046,389,
922,062,217,166,776,424,702,045,221,477,732,913,694,807,710,195,044,365,749,
627,279,732,395,683,594,906,339,959,531,010,240,346,622,404,136,993,119,776,
700,975,201,371,142,579,124,393,072,765,127,604,238,250,983,631,552,205,546,
752,249,193,591,241,516,557,880,701,306,848,468,648,654,043,554,232,272,118,
614,007,112,226,264,187,337,475,516,086,427,829,410,385,154,179,526,247,790,
158,535,978,955,317,246,434,177,703,208,363,989,820,621,062,457,888,642,789,
662,725,302,731,155,045,100,007,725,212,495,968,336,903,764,954,426,819,869,
386,586,028,801,515,695,492,924,126,969,672,756,222,297,935,955,203,913,917,
765,829,379,178,389,891,960,227,194,828,698,880,805,199,668,280,954,373,981,
474,352,294,164,785,591,942,251,104,365,376,471,044,950,895,537,584,665,187,
970,589,304,126,817,914,876,235,392,822,781,263,207,354,035,285,976,988,446,
766,678,007,789,702,424,817,495,718,622,572,514,156,571,319,603,767,980,361,
344,686,214,608,614,592,302,930,682,798,522,794,308,203,243,709,137,205,141,
253,132,289,432,740,567,793,512,557,499,085,927,960,495,249,932,106,630,767,
011,724,075,258,134,203,080,555,671,231,169,498,411,230,720,673,406,091,078,
658,170,622,408,795,626,102,669,180,592,425,052,949,052,938,171,067,043,385,
136,417,942,470,685,491,143,925,624,208,469,906,079,425,524,039,182,138,735,
432,149,968,925,295,186,608,970,876,246,388,640,860,684,977,354,001,404,132,
988,092,211,330,540,791,639,696,409,434,046,798,803,068,591,472,305,283,861,
769,152,208,475,731,806,184,594,403,229,692,971,598,784,094,142,518,040,173,
544,075,107,933,104,340,473,474,655,315,103,831,694,354,133,518,389,061,009,
025,876,023,707,625,682,231,361,986,877,645,633,489,038,043,875,930,153,173,
983,617,452,143,087,626,512,121,459,300,005,597,190,211,589,595,326,840,576,
288,900,735,785,080,182,552,413,075,692,272,463,333,750,429,828,934,810,861,
960,634,776,052,132,241,765,497,602,091,271,898,065,807,379,817,688,388,532,
249,759,609,439,783,019,952,413,389,983,208,058,085,304,558,798,924,543,522,
759,895,917,707,905,181,979,912,609,120,627,824,621,562,248,386,576,258,142,
273,978,199,092,433,814,633,893,834,133,239,226,635,394,707,486,910,302,402,
905,325,016,637,014,864,134,178,572,100,786,061,296,202,160,034,671,720,002,
843,380,357,497,341,195,299,780,769,123,952,918,185,262,909,882,533,449,908,
301,954,286,646,026,659,548,773,785,623,019,858,791,542,022,668,373,534,739,
786,694,814,464,146,894,884,825,191,501,668,186,630,687,097,327,127,762,629,
455,241,012,783,083,164,841,851,061,008,418,308,811,621,859,165,987,484,717,
364,425,074,373,806,159,058,653,664,212,462,088,380,102,776,136,872,895,744,
846,421,801,295,581,608,610,580,913,760,411,099,627,596,692,928,317,872,515,
063,579,621,351,497,422,115,456,559,144,193,680,384,443,524,389,001,313,085,
931,008,318,245,210,804,968,710,421,584,996,400,335,708,989,403,095,506,059,
095,821,382,657,380,551,614,851,633,824,747,414,613,487,071,019,017,557,407,
546,528,386,965,186,975,030,060,512,009,925,517,967,618,783,213,591,548,544,
330,287,749,971,195,727,178,717,125,844,824,907,792,185,878,057,017,936,759,
641,320,538,458,967,541,621,254,901,725,549,023,227,515,870,408,646,699,533,
985,668,471,084,901,172,544,144,104,391,949,913,978,062,172,251,614,083,843,
091,164,798,973,540,814,305,753,595,145,207,988,579,251,585,836,080,537,476,
813,319,171,698,064,266,629,051,096,756,272,307,201,236,736,174,477,072,454,
472,292,911,479,599,490,641,955,518,506,027,054,443,796,757,570,382,622,080,
000,832,965,700,588,228,431,612,341,776,859,171,618,361,534,058,429,068,805,
989,535,958,133,025,059,520,527,203,526,138,335,073,896,285,793,581,357,958,
656,597,335,598,394,064,094,182,826,215,298,563,912,228,954,796,054,826,560,
093,777,480,158,121,212,842,401,652,668,505,583,109,950,615,672,737,326,939,
679,816,742,582,106,394,070,247,592,000,098,699,940,271,949,642,650,015,705,
883,155,238,749,819,451,157,570,488,852,002,372,023,466,967,971,255,388,156,
557,878,431,705,649,206,470,777,362,038,696,024,564,663,636,558,532,230,084,
548,271,652,856,968,133,977,360,680,979,327,919,444,981,950,712,667,400,760,
415,681,111,153,999,184,837,685,327,243,767,433,608,703,390,210,755,677,975,
746,030,843,129,118,645,986,207,790,213,476,508,636,469,623,383,972,650,019,
754,882,338,618,775,870,202,876,352,317,367,393,478,692,765,024,158,121,637,
903,419,366,434,476,085,557,908,881,176,585,633,338,959,142,792,650,485,397,
200,669,662,032,222,253,833,619,727,927,388,081,333,122,727,237,605,311,014,
956,296,996,215,555,421,032,536,463,782,260,943,766,143,804,654,667,579,027,
897,034,452,405,241,644,585,307,637,191,555,851,915,540,658,980,436,142,996,
324,262,280,998,340,743,149,556,046,203,907,314,102,293,663,367,205,264,780,
514,947,542,082,881,565,487,424,867,806,043,659,003,807,950,056,689,605,083,
920,922,385,481,437,854,928,327,531,508,596,752,827,522,461,649,964,318,323,
810,050,759,427,548,578,767,219,036,489,308,683,294,300,211,126,020,904,187,
801,203,313,661,211,239,155,617,054,476,954,642,681,533,744,769,097,904,308,
295,560,866,936,143,036,815,044,115,148,540,533,204,999,294,297,450,920,577,
968,461,101,843,324,544,069,076,113,484,803,108,606,272,809,563,769,571,176,
352,675,350,232,134,561,706,516,274,848,910,609,261,782,850,543,818,637,547,
758,916,546,350,196,766,797,382,573,999,348,971,721,110,016,623,782,281,127,
199,931,961,633,713,686,191,349,523,087,967,179,064,046,750,081,183,682,258,
707,093,353,921,482,477,422,233,740,061,785,007,941,847,893,516,383,003,536,
640,214,785,554,651,744,666,082,013,934,514,748,050,404,133,377,176,469,442,
703,756,837,196,693,727,036,702,717,164,981,264,242,599,826,359,131,267,042,
305,842,481,259,934,713,979,447,602,932,972,551,921,453,022,957,709,082,455,
939,641,513,642,849,621,104,662,997,379,578,311,800,873,200,746,488,523,679,
362,066,212,793,971,746,672,058,925,573,412,426,797,958,839,134,308,180,338,
257,414,756,722,948,376,473,638,596,492,457,360,337,285,500,235,258,206,503,
370,722,458,017,495,220,684,458,964,240,335,781,515,837,690,299,158,905,517,
882,269,870,958,282,305,554,069,895,254,240,018,444,754,161,240,772,393,668,
864,503,667,510,568,838,893,542,285,172,795,566,277,272,123,240,011,768,657,
294,420,249,032,743,687,458,731,864,491,800,921,969,725,698,019,609,538,936,
875,208,711,092,597,929,681,961,695,253,051,520,673,374,557,363,756,788,798,
707,069,023,368,618,835,468,674,905,588,863,991,406,904,513,689,027,506,723,
830,851,376,424,985,226,415,789,305,986,791,486,134,008,395,216,832,944,714,
982,273,160,972,077,823,327,649,890,865,418,762,449,225,008,923,187,916,617,
985,731,037,629,739,362,191,644,951,700,553,029,582,101,368,558,003,929,861,
866,900,939,376,858,765,389,743,452,806,112,805,566,316,347,702,110,754,977,
985,352,112,763,123,567,353,243,112,282,968,356,607,184,562,571,306,897,806,
299,545,296,754,648,310,671,800,450,848,706,476,971,292,940,151,081,587,104,
046,254,632,451,660,345,550,850,131,954,512,434,830,391,920,676,495,892,436,
903,136,876,333,611,949,378,757,441,703,584,433,912,357,234,852,512,976,068,
837,908,301,991,871,862,666,749,009,722,725,925,160,676,149,738,434,278,491,
331,616,659,892,690,182,588,342,146,556,115,310,120,912,946,661,050,139,357,
589,561,365,827,966,732,639,310,429,176,427,919,795,499,128,786,863,161,303,
523,566,785,955,601,555,190,476,815,679,152,859,468,457,271,862,649,674,800,
030,330,730,393,281,345,286,510,751,508,924,276,108,655,823,625,400,102,551,
531,220,261,239,056,263,256,845,064,182,830,042,213,952,430,614,407,880,198,
010,799,384,276,241,554,379,683,505,032,811,890,404,502,337,950,091,142,901,
042,190,959,097,053,459,473,438,664,386,002,053,397,319,880,211,883,514,555,
088,785,801,030,362,566,686,406,799,514,065,571,328,997,209,016,745,771,975,
833,674,636,281,647,516,175,372,586,720,952,145,314,774,729,263,395,980,298,
883,426,329,355,014,948,176,573,886,803,878,168,031,885,804,782,382,239,631,
985,988,834,183,292,106,917,536,218,399,945,682,915,247,896,529,153,394,429,
951,671,933,362,535,941,661,446,564,630,656,575,582,082,115,790,114,946,607,
289,576,683,568,559,729,366,541,155,336,850,831,552,538,346,277,167,323,053,
221,924,756,986,025,600,170,658,023,726,749,428,557,170,923,803,480,272,369,
699,516,798,033,950,969,262,562,305,599,867,634,575,301,908,440,971,650,569,
840,259,398,180,793,454,366,193,882,293,621,237,401,077,922,296,722,533,951,
695,280,848,347,239,076,246,898,392,365,337,411,756,864,580,481,701,744,249,
136,356,964,031,530,413,145,504,760,304,716,516,781,246,969,141,901,717,882,
210,213,984,722,616,429,481,772,806,638,408,264,706,748,115,077,930,936,060,
618,569,333,007,489,113,986,595,248,375,654,013,317,201,929,692,411,126,938,
461,366,063,354,863,459,985,332,061,383,452,452,103,272,063,336,281,690,352,
236,323,538,133,677,284,358,499,127,295,902,399,590,986,155,429,278,045,403,
344,066,776,533,056,171,600,071,346,384,579,411,425,117,739,565,224,378,238,
800,114,598,951,921,945,511,162,999,230,328,614,253,551,104,554,732,569,748,
122,724,131,037,809,901,997,862,251,653,292,808,242,988,286,165,378,890,436,
089,544,649,969,375,447,019,542,123,731,937,043,109,255,243,376,110,489,282,
377,431,990,310,541,998,305,347,295,023,218,385,629,054,497,622,583,750,396,
528,591,839,536,411,903,451,369,307,782,653,652,478,625,608,262,174,057,250,
117,237,678,838,105,332,521,999,717,545,267,888,115,004,361,104,422,199,578,
678,525,310,871,403,840,865,911,526,372,210,278,919,969,088,133,317,984,572,
942,341,268,259,609,953,037,912,600,654,787,265,803,064,016,749,750,551,606,
894,355,478,079,946,399,612,387,390,169,667,541,187,795,822,511,966,411,075,
894,340,918,183,703,784,574,619,574,247,690,976,901,997,046,341,301,177,826,
870,174,041,564,218,396,483,267,458,366,875,243,629,253,979,629,836,361,625,
832,602,968,211,662,511,740,234,158,668,081,844,486,614,023,866,052,421,792,
693,682,434,958,290,288,980,260,574,711,779,337,037,582,892,266,017,339,949,
146,189,872,330,184,343,805,777,087,106,825,519,131,334,133,800,896,706,217,
838,922,766,910,971,748,375,783,024,796,012,510,826,333,329,006,400,875,722,
284,863,723,204,139,326,161,988,661,851,256,894,959,253,967,562,299,495,153,
441,608,723,664,010,393,507,608,130,555,647,803,647,816,521,136,510,062,048,
359,959,609,074,431,703,941,510,610,685,901,817,201,431,129,559,316,899,377,
379,633,715,178,861,760,707,201,000,758,096,629,226,469,430,089,213,800,987,
584,317,330,928,013,389,757,707,459,265,055,072,209,865,082,658,145,634,074,
303,595,718,154,436,893,647,939,708,069,553,038,845,234,058,512,759,024,024,
172,100,139,807,928,673,433,163,014,031,616,118,834,822,570,141,726,990,994,
450,500,848,976,013,263,248,899,564,332,132,579,975,866,296,218,789,790,255,
501,438,793,952,797,775,680,597,015,612,300,232,582,993,694,622,397,239,967,
540,436,324,730,260,180,601,420,903,281,805,976,491,350,744,877,077,587,739,
664,139,159,884,207,539,151,738,890,495,442,301,334,029,344,462,679,689,215,
923,295,866,862,574,963,606,937,249,722,926,336,487,111,300,742,969,892,813,
749,739,642,478,772,053,583,232,294,316,866,176,586,441,781,487,599,639,216,
671,483,983,784,144,947,588,914,006,797,265,237,793,375,777,543,252,793,285,
752,990,277,412,606,739,468,509,088,476,865,180,217,059,128,288,785,895,083,
612,006,107,232,007,399,217,204,937,264,052,396,810,504,899,465,827,907,809,
531,009,856,314,570,501,967,075,478,474,390,548,869,401,737,307,304,654,316,
543,086,831,720,082,666,680,780,628,427,861,307,113,639,869,067,160,050,735,
312,387,691,571,223,734,905,800,072,675,649,946,476,885,141,082,456,058,534,
732,253,119,627,685,139,449,441,866,718,163,338,992,464,630,045,393,664,613,
206,541,495,206,362,203,400,213,891,902,684,302,110,613,356,290,835,491,126,
591,219,838,710,903,484,831,799,787,399,421,978,378,337,749,365,190,506,333,
926,935,318,611,793,201,655,919,163,885,856,018,914,630,948,688,393,008,526,
501,365,498,338,468,159,123,317,608,287,086,352,807,538,233,435,825,251,053,
337,653,259,810,215,618,801,308,059,516,211,079,137,945,906,372,223,404,124,
627,967,228,062,721,795,239,261,119,745,604,197,296,994,762,869,312,870,704,
159,564,945,085,127,228,256,273,279,679,838,935,236,142,991,077,649,318,023,
954,839,916,210,082,501,068,645,894,593,348,329,486,419,178,082,907,473,250,
031,251,824,625,034,518,453,495,873,859,469,614,744,952,823,147,703,054,639,
439,934,450,246,868,261,127,661,441,442,292,409,695,614,748,724,156,103,757,
730,015,690,174,773,171,850,767,514,714,133,901,739,931,726,886,377,872,388,
942,410,347,914,180,548,539,011,921,509,700,357,711,020,505,272,545,252,819,
434,513,763,338,583,975,445,627,551,195,583,585,048,797,601,795,408,420,027,
018,192,869,472,611,912,525,864,613,309,754,383,329,063,118,383,776,108,847,
001,908,277,255,957,242,309,872,355,868,759,943,443,947,259,125,951,327,334,
100,209,313,624,539,899,179,997,293,002,426,699,417,432,459,943,213,710,341,
893,711,502,173,817,549,733,629,162,092,045,999,838,297,645,400,249,342,278,
692,357,157,874,037,530,940,102,507,347,908,802,526,058,526,586,693,650,480,
806,351,938,579,831,661,175,351,307,440,870,770,843,325,597,457,588,716,043,
176,782,114,965,235,514,924,190,938,220,450,194,345,638,517,751,141,497,251,
525,113,252,535,122,656,374,278,818,046,884,756,591,883,726,062,016,546,476,
637,773,658,759,787,612,488,196,530,586,835,133,918,913,644,145,294,949,147,
328,957,741,784,548,581,960,833,958,106,043,866,259,821,179,336,977,773,166,
461,783,090,795,594,828,195,115,685,762,696,400,848,139,287,113,768,557,696,
055,615,060,853,614,002,972,487,821,296,226,476,471,039,464,051,198,625,872,
617,137,501,702,711,447,383,645,914,646,199,620,621,762,306,543,550,218,290,
699,563,310,368,720,567,416,865,388,801,226,804,647,385,016,191,161,944,663,
626,063,687,126,893,219,767,494,100,968,729,653,849,454,187,515,102,048,926,
596,699,187,747,847,697,877,937,173,076,509,594,314,893,285,397,153,486,566,
982,794,736,795,536,881,191,951,985,353,120,856,929,960,791,030,710,417,942,
055,601,331,929,739,379,198,136,645,600,653,984,679,895,530,379,180,277,137,
348,436,123,862,393,857,721,679,475,379,773,863,304,205,044,670,480,358,532,
136,611,245,055,142,399,234,825,803,220,744,051,571,231,279,234,763,744,617,
875,572,675,850,804,311,493,668,396,749,929,405,741,936,739,556,706,417,496,
064,043,484,376,838,530,303,251,027,999,006,301,307,610,388,506,852,099,898,
475,347,112,242,575,566,327,807,843,350,937,038,186,824,187,932,900,807,329,
615,109,414,888,869,065,252,584,406,676,305,856,624,322,898,916,356,690,112,
427,699,334,429,435,637,953,786,907,435,988,796,102,457,204,738,989,239,038,
458,781,410,757,317,818,367,238,266,514,026,501,774,664,677,882,304,592,639,
060,164,979,252,417,626,792,898,426,779,088,797,768,682,078,216,355,535,410,
955,550,714,795,801,804,423,829,267,300,797,880,454,176,612,779,915,574,360,
399,995,038,646,041,290,917,525,818,899,991,797,803,274,051,123,069,817,364,
579,304,614,134,004,610,131,881,692,997,068,145,732,258,506,107,702,833,797,
193,559,512,096,950,030,011,771,853,782,205,880,788,913,129,525,799,711,084,
451,301,105,832,221,820,141,953,136,921,750,858,834,635,315,241,425,045,396,
294,821,818,417,018,778,269,904,115,911,601,609,485,068,301,626,570,228,446,
540,010,401,105,859,088,510,088,365,619,516,838,576,534,430,033,846,169,349,
978,498,344,579,790,894,221,970,106,227,752,318,502,394,650,341,107,646,432,
153,503,311,424,877,995,617,574,065,904,922,552,014,331,838,662,245,194,542,
610,068,451,697,696,303,965,951,685,053,351,153,255,400,879,400,217,390,450,
814,397,813,655,843,689,862,158,692,553,900,347,555,859,059,170,175,260,579,
194,394,529,225,672,126,141,715,375,224,451,429,049,522,565,260,092,968,428,
477,684,819,106,136,755,347,817,368,199,362,349,625,948,052,107,619,922,288,
582,062,191,425,097,894,998,903,082,955,616,611,900,807,071,174,442,296,062,
884,412,196,650,635,492,811,586,727,637,775,196,314,706,959,438,592,999,056,
352,765,256,681,223,504,419,972,814,490,825,184,555,512,381,938,163,284,520,
841,162,374,726,840,094,001,054,030,149,146,439,361,941,469,242,724,551,457,
937,502,108,469,300,929,831,486,257,688,908,961,743,535,854,285,138,358,331,
845,818,376,764,846,730,327,951,750,360,669,846,110,253,026,270,028,423,314,
156,769,513,534,535,922,601,355,674,646,365,607,493,867,648,154,302,701,308,
371,805,979,327,997,241,674,952,983,727,861,978,185,366,637,394,378,312,024,
967,923,245,776,426,252,832,971,422,621,037,084,911,223,242,347,367,129,624,
827,838,539,602,723,344,229,592,503,759,798,066,947,949,658,302,821,764,043,
688,452,696,316,601,937,535,051,190,417,316,253,537,404,114,599,619,329,332,
779,765,398,644,728,516,930,353,153,643,128,220,436,369,682,899,060,776,854,
662,937,975,744,723,166,849,668,301,352,755,328,024,255,960,728,055,867,107,
997,872,892,912,925,424,804,589,596,271,616,185,213,690,038,119,131,186,549,
971,288,594,703,505,696,900,384,645,831,528,431,666,498,672,352,253,124,175,
706,059,141,390,741,787,776,987,736,938,126,134,023,128,658,238,794,371,302,
187,328,946,901,358,031,621,141,226,149,836,486,497,443,210,616,241,524,750,
078,227,711,603,551,798,669,556,642,015,883,480,784,535,307,249,661,022,500,
665,405,306,238,390,620,778,663,112,488,496,990,929,187,699,259,327,830,647,
779,573,405,984,452,080,077,003,588,687,637,014,742,784,316,101,361,821,862,
291,967,354,886,706,537,419,460,416,601,135,971,072,813,986,795,137,818,919,
448,621,924,481,030,090,496,113,008,575,387,548,226,402,748,403,971,767,431,
957,696,319,591,564,104,887,470,977,995,752,279,880,545,078,234,571,075,288,
071,736,914,785,640,417,374,937,370,653,039,849,690,678,690,604,095,325,948,
396,065,734,494,250,185,325,453,191,820,288,889,683,440,769,448,149,820,437,
804,057,347,181,652,378,014,119,099,932,090,998,896,250,178,753,635,434,393,
804,746,115,543,620,333,293,796,580,855,209,657,510,213,140,412,578,489,299,
742,318,129,494,367,873,301,866,875,242,845,968,378,551,755,266,008,988,623,
209,027,269,177,179,072,674,874,119,418,340,858,426,465,608,691,107,682,337,
178,067,623,255,285,853,862,560,982,714,075,515,067,722,262,720,521,565,276,
705,640,178,458,969,156,727,847,867,055,724,003,945,752,772,417,663,794,777,
489,969,540,882,536,907,195,830,174,381,422,939,071,492,355,668,178,841,307,
362,125,774,928,906,690,057,159,379,302,924,059,448,707,371,417,147,811,349,
784,105,241,306,056,783,986,540,134,113,882,019,176,599,699,126,808,717,667,
919,939,088,043,938,774,377,065,694,409,604,887,945,251,246,347,404,637,040,
272,008,272,290,237,270,810,582,840,796,704,742,394,072,821,352,906,766,193,
985,067,397,707,952,764,649,072,355,358,522,335,516,433,672,481,385,657,446,
333,675,261,098,928,870,233,236,088,261,779,187,634,741,976,064,763,183,520,
616,013,072,884,949,508,956,367,310,950,560,366,827,757,514,482,532,805,130,
828,040,968,112,920,157,231,186,627,586,683,437,817,434,743,850,531,718,825,
198,020,476,729,843,577,212,051,471,944,532,109,628,628,392,580,901,590,403,
234,855,880,646,079,636,784,021,817,774,660,031,417,363,177,207,649,311,152,
481,483,886,230,080,338,628,177,660,618,572,892,342,246,327,450,260,515,984,
967,328,477,220,039,291,666,673,866,189,861,291,008,992,929,049,564,880,925,
360,865,773,151,528,847,374,661,218,170,475,711,769,123,393,650,616,780,504,
707,060,225,543,969,207,839,946,293,152,149,269,548,287,775,765,271,349,161,
253,943,304,152,582,230,748,860,440,172,907,337,016,899,308,068,761,571,844,
747,385,857,125,209,975,712,304,326,261,895,324,633,365,200,468,434,574,488,
122,550,087,906,848,244,135,338,098,555,232,935,406,394,509,633,202,968,608,
608,947,181,828,984,509,988,034,777,537,805,505,133,431,765,583,650,637,585,
082,464,859,697,507,535,234,754,648,244,479,604,852,166,411,191,338,339,126,
129,368,892,840,460,802,739,656,081,599,530,689,190,298,378,554,726,646,171,
447,013,670,679,799,115,480,454,072,345,568,393,841,180,026,049,732,555,876,
084,056,947,838,635,183,175,225,538,042,089,978,311,724,523,641,255,681,074,
895,628,460,286,706,949,557,267,846,599,512,524,975,420,354,120,357,742,032,
818,323,576,164,529,193,503,324,849,891,359,658,644,677,308,660,301,782,013,
079,300,730,177,381,112,741,670,773,259,621,336,359,632,569,365,698,265,942,
021,689,264,244,907,908,661,864,377,287,268,094,464,834,041,563,168,046,801,
262,201,619,686,371,342,075,447,062,386,374,771,371,008,022,098,270,995,139,
528,656,259,491,675,862,681,205,302,773,044,164,806,100,601,846,853,223,526,
959,719,076,243,439,078,294,996,490,352,095,177,981,428,350,130,117,120,624,
022,182,476,418,789,354,304,040,861,786,614,565,428,078,362,749,472,668,405,
091,901,921,624,219,763,770,795,229,673,300,588,934,614,942,593,094,283,684,
140,031,455,311,079,124,675,254,780,842,941,039,484,240,229,827,420,966,726,
789,775,000,203,018,885,750,603,224,690,767,505,759,566,499,588,726,318,049,
603,104,133,434,064,441,332,280,031,569,368,799,373,741,899,787,099,026,748,
437,863,587,274,952,237,494,769,121,113,770,538,825,755,512,103,339,015,342,
360,961,113,306,588,823,863,469,594,866,144,826,237,761,143,599,495,382,776,
158,276,707,322,206,235,490,055,285,696,984,726,502,741,728,203,606,119,522,
231,975,804,293,495,936,917,743,567,080,372,682,516,435,477,619,467,478,587,
910,602,590,623,833,672,316,297,908,133,857,962,570,875,632,499,054,680,317,
824,140,742,036,940,903,586,347,818,398,013,369,214,850,114,757,570,483,898,
915,424,832,483,285,272,219,464,989,597,551,038,895,594,578,093,822,050,956,
647,508,514,346,962,159,963,750,145,338,856,214,306,865,783,602,595,711,089,
832,679,200,688,480,687,379,474,104,940,666,288,111,951,012,939,407,207,960,
659,331,679,399,527,846,209,979,703,582,809,642,215,029,736,620,317,853,852,
269,005,796,832,578,729,031,037,627,653,775,445,626,234,086,945,264,155,019,
898,989,201,306,445,203,723,969,333,131,807,703,718,831,812,913,135,936,269,
844,588,983,051,904,518,628,222,812,991,744,834,440,617,151,614,387,964,155,
017,139,415,745,635,472,864,948,958,912,634,177,275,180,927,330,907,950,705,
795,880,839,655,354,135,537,857,684,211,854,067,918,092,359,025,231,056,991,
670,417,797,245,080,837,028,103,579,747,079,768,919,271,070,727,331,788,296,
029,550,703,872,030,420,861,335,680,551,311,546,057,066,899,989,258,949,024,
821,189,659,880,882,693,593,550,368,609,535,937,569,407,282,733,298,022,913,
663,983,612,694,411,918,277,106,273,192,313,550,016,806,827,532,525,991,481,
519,104,520,100,818,718,890,155,721,883,549,166,776,723,974,006,748,946,603,
394,009,438,625,004,114,640,617,734,975,225,165,530,318,426,214,791,419,645,
187,658,974,245,582,976,127,468,283,221,665,328,026,583,006,929,702,880,409,
249,585,901,577,136,597,356,290,898,105,458,687,389,862,547,811,085,095,620,
063,371,453,730,399,586,664,568,934,804,721,352,959,704,075,057,616,263,415,
897,891,646,330,155,993,658,991,420,311,029,593,598,538,841,318,255,605,863,
472,250,079,701,084,962,499,918,924,989,140,923,981,498,080,587,202,462,166,
182,591,232,843,405,877,021,034,422,324,344,669,140,917,079,313,475,699,450,
872,788,029,576,173,247,106,958,259,331,631,284,551,267,869,172,142,879,047,
193,245,890,968,230,953,218,217,337,521,919,026,043,826,820,113,846,619,361,
758,978,666,243,966,209,666,094,493,201,558,803,589,490,169,729,653,652,528,
217,877,736,018,759,360,752,803,185,735,278,874,300,293,224,888,843,530,576,
058,771,539,641,262,898,654,693,209,642,778,929,294,462,530,987,113,187,121,
162,150,385,095,809,353,482,086,265,979,503,759,753,430,817,206,239,906,500,
906,122,095,147,118,728,680,606,160,668,026,179,972,610,976,324,214,026,872,
359,872,538,911,398,304,638,397,736,656,265,923,536,772,069,712,834,261,480,
632,480,561,852,504,553,086,144,776,512,503,021,845,918,263,788,853,850,078,
854,015,570,915,619,766,421,663,379,560,064,315,045,844,042,795,411,335,898,
860,435,032,850,701,699,279,818,514,033,092,702,937,561,582,383,799,356,248,
006,245,939,914,300,831,655,047,955,744,589,983,888,998,086,753,171,387,608,
208,184,986,156,115,558,084,413,664,702,481,889,664,693,239,285,460,533,364,
940,741,909,236,152,078,920,816,235,166,184,387,747,974,002,438,896,515,519,
137,936,019,762,375,691,566,740,819,905,383,367,574,483,120,927,860,597,387,
546,250,235,175,313,770,292,990,277,453,627,171,806,363,141,208,235,730,112,
886,226,389,982,291,843,835,018,908,926,361,539,697,144,691,515,899,379,681,
402,229,238,194,239,241,094,187,908,062,438,858,738,792,880,921,783,946,976,
529,405,277,535,950,414,072,049,112,436,894,629,761,742,673,200,317,132,802,
040,889,064,209,355,574,239,852,505,546,961,630,645,370,800,648,352,335,444,
599,876,767,205,408,814,302,333,113,413,037,877,934,359,886,990,051,564,255,
836,612,420,224,685,207,363,562,615,405,745,585,555,052,548,385,416,893,782,
230,622,058,256,934,346,874,117,744,842,173,116,270,511,983,084,302,540,019,
867,109,509,150,575,589,587,288,169,109,676,620,063,974,575,304,548,847,386,
706,509,309,695,328,400,146,566,087,744,023,423,649,529,303,852,319,696,361,
859,514,344,363,166,973,811,360,434,117,584,631,860,930,882,942,597,242,543,
580,199,937,415,936,246,094,468,750,660,841,619,995,459,638,490,748,296,714,
079,929,221,391,297,105,620,290,366,798,817,263,787,676,626,537,085,764,078,
118,336,840,061,140,302,542,003,444,506,422,361,854,741,417,742,460,459,545,
252,833,248,086,249,977,887,695,126,371,971,567,014,158,865,854,099,179,065,
297,185,514,241,206,075,057,615,886,063,071,920,652,504,419,268,592,402,840,
555,323,132,119,390,839,303,917,535,973,113,137,461,962,887,493,331,988,010,
562,802,738,224,367,920,194,849,970,499,096,554,546,554,031,252,984,516,584,
543,607,156,430,211,749,266,003,963,582,766,331,797,102,123,506,470,664,574,
635,232,170,666,953,237,056,726,099,360,329,457,034,998,770,285,914,967,278,
134,390,304,733,457,538,413,671,604,152,147,519,226,081,104,527,744,804,090,
257,686,189,116,466,613,317,087,472,412,534,142,423,046,643,693,973,284,342,
504,492,074,869,578,471,951,774,374,817,252,359,719,474,728,050,884,025,451,
579,370,843,992,955,791,475,452,339,207,013,702,590,296,139,146,124,511,859,
391,370,924,415,986,564,902,483,818,725,640,963,841,664,772,861,274,701,586,
270,049,538,347,142,117,071,286,004,968,392,515,680,732,418,974,951,016,834,
802,986,690,207,456,179,481,960,932,278,516,634,806,217,058,450,392,927,360,
847,519,433,487,255,116,294,402,902,699,349,167,711,766,762,008,083,477,545,
231,430,203,499,577,417,850,698,812,967,744,322,069,889,219,453,094,606,633,
567,134,553,886,208,484,906,317,573,217,388,671,540,636,200,845,921,245,436,
436,449,405,076,570,398,263,961,231,184,088,167,208,047,443,295,409,889,021,
027,792,905,786,995,612,246,611,017,142,190,075,347,904,230,449,257,363,647,
895,704,120,321,917,032,953,899,031,764,188,895,390,185,300,254,539,959,957,
920,677,034,729,707,022,558,674,247,093,537,350,411,744,859,698,769,984,878,
394,512,356,360,608,290,357,568,842,657,402,232,103,599,611,890,681,862,960,
105,386,766,932,307,647,696,033,250,537,872,027,084,937,028,091,627,346,250,
031,831,814,573,513,384,592,678,778,060,637,948,891,871,851,988,166,303,295,
748,820,657,493,958,042,239,597,092,666,442,492,068,541,323,972,856,922,205,
889,456,783,017,875,141,081,083,928,695,233,998,891,622,549,964,112,157,855,
249,673,744,647,583,469,733,570,994,209,164,572,345,180,784,717,885,457,720,
575,438,523,772,044,168,979,705,690,034,920,904,867,733,158,927,718,951,314,
107,060,781,903,182,669,905,910,369,824,088,152,974,383,144,970,333,296,541,
033,147,091,738,461,121,727,183,757,704,751,786,368,931,146,644,949,949,300,
704,764,475,940,806,446,772,829,434,966,761,125,954,789,258,931,913,351,679,
263,507,279,226,685,843,837,866,010,386,438,313,591,825,391,388,999,614,877,
847,548,159,026,102,523,872,033,604,133,594,053,795,101,867,157,947,069,553,
386,304,640,683,704,605,778,661,994,266,661,276,709,159,141,986,560,886,947,
437,352,102,243,567,913,727,910,191,568,027,136,694,261,957,547,484,372,799,
066,132,895,648,151,136,099,540,875,519,847,237,469,345,189,902,859,647,677,
501,115,215,922,871,275,253,426,171,319,090,708,899,326,698,511,732,452,115,
103,225,431,402,480,662,154,490,755,844,434,670,779,910,344,625,621,776,648,
676,806,961,923,856,317,115,679,193,087,134,106,823,368,566,726,518,652,186,
301,561,139,364,437,229,462,043,555,610,342,462,003,705,785,248,405,720,466,
193,050,355,031,764,512,260,867,287,632,581,051,557,993,318,648,878,718,933,
642,679,681,295,906,544,603,556,016,740,017,367,651,705,160,136,646,434,619,
643,739,075,652,865,162,211,919,139,032,111,432,686,445,230,931,812,999,307,
352,723,685,535,530,916,462,607,875,007,566,499,182,457,752,320,501,345,631,
484,006,347,040,534,089,904,549,968,699,234,420,435,026,601,870,903,835,540,
515,986,934,139,455,346,447,419,109,650,725,057,956,458,305,227,114,643,968,
923,898,037,768,532,279,934,400,542,426,631,231,249,256,203,434,255,469,979,
458,928,758,015,035,719,396,944,011,343,899,318,473,803,644,101,057,722,239,
954,402,697,432,719,958,442,706,751,135,696,677,235,482,329,934,006,020,745,
293,918,183,742,579,603,796,064,193,292,819,343,289,711,649,804,461,300,111,
490,000,170,604,318,896,369,373,958,171,995,592,597,897,854,194,421,780,148,
230,239,689,824,340,791,173,319,286,724,250,814,438,893,712,625,655,625,849,
669,412,378,544,578,312,611,386,781,394,354,461,665,808,715,707,259,000,771,
592,928,876,801,622,492,632,711,456,638,428,015,059,597,464,907,089,146,729,
079,863,702,186,935,536,363,749,822,579,760,441,729,703,311,330,775,264,739,
765,322,672,898,190,581,743,230,384,521,282,637,735,076,752,771,844,618,706,
770,110,128,005,039,637,460,856,088,058,555,151,344,694,924,129,052,134,869,
619,510,024,026,001,440,535,648,631,992,718,469,426,872,359,603,828,273,199,
378,143,921,267,507,811,551,181,572,905,774,049,449,091,280,455,289,005,874,
748,725,286,371,341,129,579,796,218,136,323,911,776,714,792,719,824,057,420,
103,977,403,286,617,312,370,364,232,020,314,452,681,906,252,699,673,433,383,
311,002,960,894,412,931,493,485,567,659,189,347,344,101,840,420,586,918,430,
406,199,409,524,127,756,645,309,021,165,184,292,054,292,401,303,077,830,023,
365,785,407,771,042,828,153,383,783,609,924,605,423,575,032,179,584,163,174,
267,560,391,705,260,566,966,188,335,165,693,990,149,082,064,459,755,912,962,
479,515,132,218,375,262,768,273,010,922,328,151,201,173,762,896,023,546,644,
126,097,310,199,013,773,738,238,840,644,774,842,901,457,173,615,338,202,658,
081,532,735,730,872,271,901,907,387,668,524,223,288,177,701,550,398,231,423,
772,132,187,942,288,260,082,480,256,707,498,573,772,273,088,703,654,630,767,
442,596,053,881,182,480,613,188,534,946,890,817,199,177,387,733,474,325,773,
299,815,965,258,251,268,349,211,647,296,461,740,972,701,860,573,931,961,210,
389,788,614,304,078,758,371,172,168,414,613,447,386,692,888,438,357,459,157,
920,120,213,106,345,375,681,018,206,040,211,973,884,029,150,969,264,385,351,
520,671,766,212,864,329,737,351,123,279,709,047,191,080,694,226,100,319,647,
317,735,502,862,050,156,677,275,030,497,487,073,538,210,775,854,549,859,630,
529,827,568,126,353,663,120,506,518,448,145,562,955,641,010,015,071,479,195,
478,042,210,041,570,665,182,207,906,217,926,767,862,173,892,819,880,996,190,
754,678,155,616,359,128,864,978,440,799,028,123,217,051,983,999,399,186,333,
611,429,302,347,254,439,784,275,323,934,450,968,373,125,505,943,197,335,913,
527,897,579,910,576,140,354,836,825,971,565,839,126,492,405,990,780,015,542,
557,996,021,381,375,006,238,798,780,161,214,184,457,749,095,537,117,408,956,
351,505,821,962,749,977,354,198,903,127,880,993,454,127,494,779,684,907,493,
618,570,806,372,194,349,655,917,846,919,924,014,598,640,289,730,974,124,077,
246,723,296,633,846,240,790,417,757,756,756,487,198,122,068,849,684,358,298,
479,357,667,070,958,863,714,418,886,043,754,518,812,728,414,119,307,922,114,
626,421,677,353,100,308,707,413,318,543,949,897,449,256,416,499,759,324,682,
179,525,988,703,105,546,211,838,707,348,664,543,582,336,823,797,145,957,974,
232,230,403,502,629,844,582,266,319,724,676,469,261,867,582,705,141,408,092,
997,350,037,253,950,325,623,204,465,375,476,825,707,859,038,393,874,885,568,
260,214,223,871,320,749,919,019,321,050,993,766,695,101,048,950,229,664,554,
612,754,745,435,184,749,077,499,786,019,782,415,650,438,232,322,853,400,781,
534,697,573,636,207,155,354,709,983,578,424,171,968,277,930,592,380,455,560,
265,245,885,646,880,073,611,359,192,677,174,644,079,729,588,286,864,897,774,
016,759,990,530,905,297,028,234,850,704,535,634,456,896,225,923,039,120,813,
811,180,808,509,880,526,406,726,325,935,393,061,152,016,604,493,580,194,661,
193,163,336,861,564,959,804,044,497,589,280,660,828,929,242,488,301,589,626,
378,780,310,985,204,972,866,066,381,687,955,125,000,101,593,332,627,230,228,
125,097,581,758,095,057,744,311,512,379,859,907,875,768,591,888,177,334,029,
412,790,464,794,805,379,275,693,315,690,880,515,051,307,064,926,670,952,561,
723,076,303,881,631,893,842,711,310,397,208,687,742,877,383,600,179,219,578,
620,456,843,256,163,961,609,843,886,694,619,615,446,665,443,670,401,349,398,
691,840,433,161,260,124,197,052,286,128,291,834,912,538,833,332,940,159,868,
715,113,772,586,322,592,910,701,268,679,890,985,231,850,718,232,601,234,575,
241,103,189,531,407,679,117,920,283,562,566,840,941,805,633,999,983,096,271,
815,642,810,461,123,782,697,530,000,889,447,022,781,592,124,798,113,229,704,
764,473,551,320,301,569,564,209,782,710,213,623,705,665,812,523,410,711,860,
565,986,547,677,850,227,843,111,859,682,860,101,483,868,241,019,930,041,833,
563,969,221,777,966,960,273,500,547,954,048,526,185,165,970,495,226,196,519,
582,025,045,939,704,955,392,330,235,810,740,223,160,677,103,651,220,264,983,
710,933,630,673,346,046,566,396,237,842,326,698,571,117,883,631,479,614,855,
428,020,690,646,911,334,028,619,388,856,293,476,931,013,409,307,678,962,276,
100,400,653,047,273,865,312,410,782,433,130,463,476,496,019,957,236,536,591,
122,705,955,936,519,155,158,393,415,995,709,758,211,540,084,629,362,325,698,
189,653,701,974,717,045,001,419,008,279,528,981,039,436,757,030,633,697,655,
670,964,607,246,289,858,971,986,628,491,700,698,680,923,701,378,943,824,064,
553,262,884,180,629,301,057,494,652,463,071,191,639,695,399,205,743,087,914,
021,521,022,441,061,336,063,332,535,264,464,518,154,314,211,284,999,584,889,
809,127,616,660,136,304,297,821,098,599,660,590,612,481,569,747,857,957,889,
455,261,707,662,215,272,899,436,216,231,920,804,018,742,118,092,750,695,331,
742,394,069,391,903,239,741,726,180,005,792,948,699,252,905,263,738,984,452,
197,247,869,150,721,956,681,080,235,550,854,095,474,550,285,231,716,835,882,
001,285,818,970,026,335,810,807,128,807,968,691,004,180,072,570,979,351,354,
539,261,365,081,008,872,226,036,942,390,513,212,387,878,663,390,750,183,590,
187,411,373,722,466,456,583,011,594,179,959,821,128,815,395,034,556,937,089,
339,264,455,635,860,205,628,898,352,324,271,552,707,769,002,008,943,368,481,
329,205,919,635,030,413,449,304,899,859,616,328,271,188,401,009,335,867,240,
735,194,406,153,155,414,599,629,233,618,727,137,592,347,398,387,474,945,049,
909,556,490,087,504,528,074,201,008,437,586,979,393,858,558,924,548,211,614,
463,867,620,831,765,630,285,658,155,394,975,970,610,764,466,070,484,838,849,
245,028,117,659,006,505,095,422,030,768,184,279,547,396,639,628,568,023,925,
705,963,350,236,830,461,699,892,960,124,480,816,960,077,033,396,637,763,757,
751,272,945,052,614,339,133,680,600,238,238,284,828,152,975,718,628,591,485,
829,728,921,778,956,000,846,758,178,007,515,690,337,025,512,703,734,075,231,
309,177,470,617,759,254,005,036,246,053,849,761,253,178,700,675,300,094,993,
204,261,280,848,197,426,985,890,773,030,666,867,390,330,643,137,273,151,436,
482,271,057,751,224,877,319,642,915,252,665,838,595,523,967,686,201,606,715,
297,844,419,104,275,653,236,518,006,154,601,630,711,983,761,567,724,082,864,
002,807,142,859,641,772,519,431,090,313,976,584,907,466,852,989,127,264,615,
324,635,526,156,306,652,981,624,720,473,224,317,533,608,898,128,881,715,678,
373,279,104,276,480,234,336,757,352,411,921,833,558,234,961,321,737,088,157,
671,693,565,495,639,757,191,334,064,458,762,410,157,453,887,656,600,874,246,
390,644,160,816,157,412,808,983,176,130,589,697,410,108,272,550,246,082,490,
650,389,931,360,577,749,583,130,676,206,196,021,674,406,464,250,777,120,024,
352,440,861,648,680,162,805,608,400,808,360,018,162,832,594,933,275,107,344,
955,307,798,205,073,146,379,706,145,452,258,261,683,595,271,604,613,891,745,
470,099,318,582,899,747,020,061,163,114,994,135,966,260,305,035,189,905,180,
211,757,513,460,057,392,791,354,880,671,295,592,258,928,073,552,220,580,158,
974,511,359,567,493,648,269,654,996,517,040,559,049,786,899,597,540,348,670,
887,055,477,559,761,798,875,504,651,427,083,509,153,771,447,882,649,966,662,
669,758,059,004,466,132,752,257,440,390,058,325,764,034,608,929,483,437,007,
802,964,460,470,223,206,963,417,921,271,643,073,132,889,653,827,499,694,326,
292,890,461,911,741,396,117,747,720,724,139,278,565,182,678,194,356,618,259,
485,730,570,337,295,384,653,355,765,666,082,504,105,256,912,178,873,387,880,
300,807,277,537,073,711,624,732,501,681,786,925,624,366,030,219,481,859,827,
861,984,214,793,460,889,108,428,696,788,446,202,629,451,945,354,386,613,869,
068,937,732,118,833,003,859,081,836,927,476,287,826,491,256,622,384,664,679,
089,770,416,232,730,463,016,060,953,146,646,392,809,298,658,858,666,385,648,
965,496,772,724,828,934,100,668,841,528,579,107,246,862,074,815,335,874,682,
725,530,054,725,438,821,321,776,968,368,778,723,507,788,464,963,341,997,965,
411,516,821,026,689,436,366,983,300,116,128,925,833,233,930,190,459,662,247,
367,326,066,772,327,156,274,625,196,233,458,063,139,129,148,961,952,879,615,
098,136,599,155,301,046,338,739,047,903,094,525,895,012,447,937,849,500,446,
551,446,037,545,385,140,300,741,015,339,457,359,512,472,833,850,790,345,067,
191,512,136,915,280,612,943,529,172,744,858,048,880,804,546,937,268,924,217,
315,824,287,409,064,291,600,111,360,746,076,332,561,839,957,290,695,826,221,
328,178,026,089,508,780,493,289,480,240,965,726,674,924,823,848,374,830,863,
859,876,257,212,414,693,135,361,620,886,790,904,210,852,268,926,018,698,569,
883,375,843,848,903,839,015,513,175,203,410,593,372,424,183,405,357,073,367,
654,068,099,140,802,193,883,679,126,505,725,146,346,252,795,834,097,818,125,
236,077,124,293,408,926,098,591,491,522,980,471,404,869,143,034,606,587,143,
958,462,372,458,842,630,456,388,767,196,988,862,044,513,125,720,025,080,790,
857,727,832,565,712,995,580,160,955,354,294,583,580,862,848,070,250,663,337,
820,527,708,285,192,704,046,021,094,939,504,290,245,712,733,669,858,548,580,
451,440,557,656,561,542,783,993,973,591,107,737,586,813,139,034,111,204,044,
255,890,770,815,969,452,505,987,703,366,704,468,712,997,478,347,843,282,747,
576,212,271,025,082,346,221,377,795,017,109,981,733,820,243,508,786,517,927,
369,248,443,125,879,298,393,670,580,190,880,235,832,312,246,465,240,548,350,
755,425,784,211,124,215,992,109,337,963,411,311,025,876,510,651,122,298,377,
864,164,971,116,521,994,219,958,534,325,840,899,002,645,702,951,158,759,391,
187,777,559,363,367,605,742,023,698,849,907,337,239,758,477,609,141,664,476,
879,999,104,782,349,447,530,079,989,328,033,267,870,625,730,504,052,653,760,
462,410,668,707,761,879,150,345,028,910,757,944,713,154,987,535,089,201,853,
271,023,448,521,819,640,981,853,926,398,486,826,201,474,336,998,527,209,087,
192,864,904,153,978,677,221,022,398,797,333,125,629,060,181,381,491,612,394,
021,470,916,861,613,431,214,118,275,386,003,430,686,201,934,000,043,325,132,
933,947,319,364,577,396,052,326,096,739,379,428,576,564,101,934,939,339,386,
218,251,794,015,001,013,651,905,132,002,175,363,110,297,510,584,234,917,822,
251,578,879,256,675,977,762,867,552,362,417,970,376,190,025,948,506,833,627,
406,864,809,503,163,426,075,748,585,580,379,673,544,186,233,400,642,623,486,
377,723,093,366,943,887,785,196,760,321,567,914,294,850,360,210,724,307,408,
422,068,784,742,286,397,538,711,940,707,681,816,748,772,170,758,526,086,087,
909,003,052,229,423,767,211,027,870,929,785,001,919,713,146,992,307,796,415,
017,521,513,045,365,166,239,504,539,215,832,356,981,793,739,276,144,577,809,
966,839,519,865,517,865,900,967,575,457,107,708,432,664,322,788,666,218,717,
705,819,471,372,714,524,177,698,525,411,267,200,734,536,940,919,167,011,235,
800,855,950,829,342,103,827,797,390,963,464,117,612,827,380,142,162,845,167,
423,433,728,756,450,899,949,995,039,544,980,932,416,094,869,679,367,563,499,
853,397,621,770,527,687,749,832,205,514,349,667,567,001,132,055,499,747,130,
729,049,900,288,206,732,951,227,159,829,959,976,511,217,552,369,187,334,637,
289,925,452,096,526,696,119,618,120,559,784,835,758,598,277,319,887,932,920,
034,964,182,076,921,187,568,420,075,051,864,168,009,613,509,346,225,839,725,
657,227,318,067,442,105,717,102,695,485,343,679,491,748,756,844,011,145,710,
991,692,249,535,344,988,255,508,516,077,968,624,184,314,956,184,560,998,332,
144,553,533,697,329,150,236,515,721,372,425,458,520,698,614,131,937,561,258,
572,009,800,070,435,392,320,444,712,966,496,657,944,155,452,290,046,613,327,
980,180,976,981,805,932,820,395,169,208,651,146,008,242,267,369,183,994,498,
345,231,530,454,688,737,307,657,280,532,237,864,065,082,863,354,085,303,942,
400,924,348,048,158,493,757,786,196,772,889,253,395,107,133,278,327,021,392,
737,863,867,260,016,918,498,544,387,667,877,184,230,471,372,368,110,058,523,
309,268,754,080,516,271,779,742,576,524,504,289,339,879,263,305,016,582,008,
220,449,346,597,304,477,663,673,002,969,540,410,680,304,437,819,280,648,475,
143,909,391,313,122,313,341,848,504,928,154,728,224,993,320,284,949,001,706,
770,135,306,511,754,313,228,275,776,245,495,921,313,557,175,368,743,833,301,
076,633,782,227,784,953,137,545,607,855,040,080,918,987,922,695,993,148,817,
025,749,471,403,070,691,403,166,098,249,576,323,303,692,552,690,555,222,344,
161,517,489,349,507,938,601,424,151,080,637,399,126,980,663,670,946,432,148,
264,044,832,605,810,677,995,101,004,151,848,356,909,282,186,377,776,995,728,
600,136,606,245,083,644,299,323,089,876,855,812,915,709,919,704,447,811,639,
693,371,067,531,046,128,079,027,472,426,478,236,923,384,614,069,844,396,464,
720,059,427,283,904,853,043,296,742,525,277,028,641,481,320,342,822,801,752,
216,575,990,423,953,557,104,306,232,950,496,937,565,541,087,160,855,350,898,
559,029,535,838,423,195,066,707,408,658,863,345,933,577,067,576,406,069,207,
934,154,412,420,638,576,163,963,313,821,458,424,577,306,353,809,461,941,293,
932,793,736,212,362,225,695,611,675,185,441,673,231,577,201,149,727,394,197,
813,054,712,003,040,345,239,749,814,503,724,262,992,170,559,330,266,601,617,
438,532,129,740,245,959,867,571,673,351,061,584,441,289,168,148,682,461,133,
171,686,838,594,773,702,380,601,170,929,577,409,073,743,581,927,347,415,635,
702,254,968,106,159,459,671,640,872,363,011,114,449,242,708,408,086,003,086,
853,643,128,323,308,385,601,781,914,478,825,306,802,358,724,556,521,439,517,
107,939,655,721,038,844,303,235,385,895,555,985,074,051,529,488,012,613,284,
772,315,043,056,849,913,418,198,458,497,815,017,148,767,061,294,456,708,940,
390,909,647,222,649,860,532,659,115,118,144,076,730,773,400,839,149,151,617,
332,859,370,530,459,549,356,903,845,819,496,537,719,816,409,916,170,424,800,
827,963,892,312,213,684,469,845,371,725,354,653,281,087,989,879,065,330,931,
098,123,385,989,629,591,604,589,239,502,112,051,783,150,253,042,036,018,354,
991,231,138,231,922,329,650,556,611,892,331,277,631,544,125,013,395,436,872,
630,673,859,262,648,053,598,370,140,113,064,512,922,021,699,249,576,254,685,
039,394,967,315,524,862,208,511,973,031,266,710,227,534,340,644,032,806,176,
858,797,045,980,256,700,389,566,726,633,852,048,279,255,670,961,061,727,052,
766,328,238,562,294,519,309,006,675,691,637,184,339,439,574,754,641,647,535,
236,531,615,261,267,783,388,179,752,893,926,002,245,521,254,201,304,427,649,
609,929,958,024,074,022,598,580,191,450,460,139,748,423,683,983,149,669,040,
708,687,202,973,881,913,573,114,762,629,601,086,595,409,525,579,521,504,455,
404,347,609,342,473,335,584,013,843,675,523,492,921,724,556,030,297,777,826,
785,144,622,063,567,108,602,333,080,616,672,171,862,013,206,668,868,093,023,
199,800,481,114,807,123,035,819,026,229,110,669,668,517,313,906,824,507,146,
866,835,225,026,972,274,777,733,729,544,101,493,404,746,545,044,858,663,309,
228,259,394,747,734,778,140,777,995,311,098,222,131,784,495,606,365,450,722,
633,002,735,294,304,884,848,125,881,950,461,848,196,735,462,705,026,639,260,
696,650,479,382,422,792,766,606,303,654,493,163,229,081,898,604,451,762,376,
004,568,472,424,961,332,574,531,724,201,832,632,832,416,852,792,160,914,448,
686,427,221,615,513,780,109,917,649,601,178,673,723,898,869,219,356,250,954,
275,142,882,954,390,956,171,688,860,638,091,565,777,280,805,611,953,328,334,
163,048,549,891,770,265,724,920,621,952,965,324,119,288,857,357,399,158,823,
871,051,584,534,025,254,642,527,182,077,200,310,055,334,342,472,632,632,485,
598,037,431,943,484,167,652,730,865,663,590,851,968,716,188,151,657,216,719,
184,958,189,378,490,768,975,094,125,369,566,383,799,513,026,404,933,215,323,
289,134,558,240,317,815,258,238,433,031,209,985,778,259,372,341,515,005,015,
097,821,283,217,598,465,403,550,969,915,709,538,167,354,177,060,800,315,641,
397,687,567,147,075,780,272,876,913,705,164,253,172,130,303,491,692,133,503,
878,942,568,234,730,124,823,481,685,329,037,380,913,171,210,833,262,146,253,
696,609,226,205,087,760,329,941,237,724,897,685,309,153,558,699,381,012,101,
095,627,008,147,145,328,479,207,282,290,595,094,958,480,975,565,727,642,153,
839,783,552,975,708,250,662,630,491,202,713,382,354,224,996,844,084,824,161,
294,095,417,748,290,828,305,301,645,498,226,304,032,982,298,530,409,199,206,
709,501,534,078,841,776,495,574,458,206,690,370,912,817,876,024,107,773,479,
381,047,061,013,987,119,897,075,778,559,475,018,653,206,668,057,762,028,059,
205,702,820,651,047,647,394,743,856,187,270,888,827,583,718,412,181,583,895,
472,791,219,310,225,333,276,226,375,840,494,243,433,260,261,009,465,984,104,
041,133,601,582,589,943,880,035,723,941,505,450,527,215,011,069,099,646,498,
127,725,633,035,272,353,126,774,192,891,761,566,306,836,678,768,860,086,756,
960,245,637,614,945,634,216,390,685,112,764,096,171,872,925,049,085,495,032,
009,527,443,963,747,020,085,398,475,522,520,536,261,879,035,884,448,903,695,
361,842,785,776,507,435,147,918,528,492,162,985,137,267,942,321,096,690,782,
040,972,407,074,334,308,114,495,788,388,413,739,548,566,987,758,037,561,869,
950,261,162,696,141,770,633,608,794,641,774,043,263,554,371,070,589,276,098,
889,811,382,691,156,707,740,741,535,683,389,060,522,990,312,984,204,958,157,
083,505,411,619,661,781,809,329,537,596,607,218,755,512,320,579,564,236,191,
715,913,452,183,639,367,274,017,786,234,007,209,809,653,833,587,321,582,404,
144,320,816,238,051,431,615,074,085,547,851,664,555,394,208,935,014,238,842,
923,023,078,287,932,936,223,145,634,796,501,661,819,922,403,402,806,517,963,
083,418,225,182,433,857,029,506,116,895,977,331,652,074,720,820,621,581,151,
158,123,745,010,132,431,924,843,529,185,187,861,407,654,151,471,163,868,583,
973,449,689,915,278,791,054,594,787,727,359,643,787,989,704,705,568,952,901,
740,886,235,518,080,843,699,921,306,012,867,401,255,114,604,614,995,458,162,
005,878,298,407,454,842,937,413,265,856,382,255,674,929,220,081,934,008,046,
173,900,981,173,932,896,457,571,181,603,294,476,798,310,009,896,626,819,938,
970,735,979,463,185,753,448,538,803,593,129,941,509,499,446,662,757,208,751,
873,967,217,596,800,096,038,160,329,066,107,276,340,374,574,289,653,588,857,
851,418,869,641,512,254,896,539,677,739,039,754,297,876,866,978,433,905,960,
085,355,971,557,815,861,581,094,715,442,558,289,566,615,548,569,474,051,448,
241,783,108,848,110,534,143,618,196,921,154,425,737,553,741,027,669,717,926,
292,490,433,627,180,194,581,281,089,086,326,718,542,692,422,174,095,923,711,
594,867,536,910,195,069,007,523,872,608,633,564,698,658,950,624,147,235,485,
131,852,037,011,146,738,925,443,395,641,486,846,333,768,243,258,118,022,097,
866,481,017,611,550,924,548,498,027,962,939,477,927,684,475,037,087,739,918,
128,986,664,236,619,960,093,902,960,812,188,883,337,577,659,831,023,780,184,
635,071,835,884,275,077,353,284,201,554,133,911,518,235,667,758,282,832,822,
118,869,038,000,064,204,547,897,972,530,868,593,488,720,155,172,743,015,155,
417,220,236,489,377,793,275,071,190,004,781,239,350,236,026,657,132,464,958,
582,266,174,992,116,354,874,281,047,143,000,599,490,254,197,226,335,661,736,
026,424,037,563,187,878,311,115,798,695,885,937,766,218,443,275,279,451,937,
798,219,525,432,296,830,260,218,092,023,144,528,726,879,327,082,041,793,372,
536,174,888,405,295,160,144,637,852,987,188,323,166,940,605,034,782,544,203,
907,538,272,129,181,590,568,979,373,409,444,364,090,529,428,954,350,813,315,
966,234,127,981,888,241,726,889,714,922,355,322,598,102,341,039,528,760,728,
150,471,059,522,731,731,822,022,958,701,627,152,960,088,840,127,198,783,107,
570,129,122,684,101,474,949,976,099,066,137,264,583,941,085,508,710,993,609,
852,126,144,244,789,063,872,503,414,619,072,524,629,707,307,758,573,070,521,
460,096,301,345,513,582,853,930,192,738,057,535,901,927,741,308,804,542,920,
426,707,843,533,916,495,259,568,853,298,939,266,005,993,113,539,845,294,413,
005,571,121,884,574,677,557,397,851,073,943,685,839,368,161,695,773,224,180,
289,036,648,135,055,409,988,286,687,525,614,857,011,511,355,960,648,549,416,
705,294,698,577,456,443,164,851,936,037,911,733,213,985,456,681,933,606,248,
797,977,993,862,090,096,143,324,637,458,078,999,851,652,834,208,451,277,897,
141,235,571,692,283,130,754,569,820,999,584,460,507,852,308,928,675,297,577,
704,170,389,879,312,933,195,531,687,280,760,578,822,109,444,853,442,299,688,
195,790,625,496,788,976,018,479,695,874,392,232,539,560,468,261,573,661,390,
039,804,224,753,653,825,900,925,918,463,245,172,540,793,156,541,385,535,199,
084,564,606,668,311,469,853,902,929,440,033,109,033,473,320,423,806,871,055,
617,418,052,421,381,004,086,650,308,017,271,081,771,455,939,900,731,558,445,
437,573,631,375,480,631,672,799,229,383,890,930,839,495,752,135,042,098,184,
986,498,502,621,410,833,002,994,157,634,415,163,254,369,582,509,162,340,665,
170,707,556,656,764,192,185,599,541,174,070,960,849,156,013,064,837,078,863,
118,170,408,346,547,132,567,614,562,288,165,112,252,525,694,205,510,178,439,
940,935,910,714,904,394,981,081,036,277,540,797,489,612,823,178,577,279,718,
632,259,722,474,715,819,671,652,911,763,050,165,894,408,780,685,972,199,650,
745,855,611,771,981,111,277,170,578,684,932,729,650,720,070,960,516,924,440,
377,589,003,353,588,285,703,053,219,968,999,499,087,964,622,713,302,968,531,
940,160,304,320,643,040,536,718,913,277,045,513,193,598,138,090,190,916,897,
844,185,813,437,153,175,037,961,690,108,274,026,129,966,120,459,534,288,469,
393,499,182,461,150,748,922,892,331,699,149,104,563,494,108,090,202,525,800,
601,871,330,693,195,195,215,469,475,107,447,874,578,140,531,840,403,954,636,
797,539,975,001,761,501,489,553,780,168,629,355,618,081,362,056,159,918,529,
615,869,457,807,806,631,875,708,519,164,221,801,928,394,428,418,584,662,997,
733,249,361,442,150,143,561,634,903,474,545,546,504,289,181,358,655,675,215,
888,170,828,857,072,430,373,471,243,609,616,896,136,355,349,364,439,412,672,
546,073,709,290,179,143,169,688,496,686,533,656,519,273,585,721,481,971,622,
001,340,941,637,861,662,218,701,847,041,183,464,679,676,484,989,688,274,136,
112,575,506,587,668,895,861,037,727,881,741,109,610,289,425,740,075,865,298,
457,391,911,546,906,866,427,837,827,739,828,216,699,147,949,256,823,443,138,
600,212,886,525,763,897,011,017,606,218,337,206,716,646,255,391,571,358,512,
236,767,153,586,801,516,376,849,505,412,028,544,524,805,711,593,326,044,099,
403,464,389,463,701,108,228,433,270,421,305,235,559,866,377,216,139,377,273,
159,261,272,646,420,392,346,822,945,078,066,337,814,578,424,813,153,756,623,
407,052,405,056,648,366,315,408,016,458,114,228,558,561,248,965,014,056,798,
233,524,203,238,656,087,166,533,166,333,132,935,766,849,011,479,297,585,176,
925,930,779,713,573,752,897,500,853,319,220,591,205,562,678,605,882,514,018,
057,616,522,615,988,055,790,304,795,358,456,247,196,997,564,112,972,457,788,
821,903,526,407,385,663,510,330,394,895,832,779,597,338,725,705,398,273,346,
930,878,347,011,164,173,457,063,904,453,058,249,177,760,388,326,642,514,846,
759,733,508,474,323,865,662,823,632,630,643,142,370,813,981,337,094,324,551,
617,946,653,486,708,097,441,952,769,176,172,788,996,102,408,073,575,203,031,
700,869,113,000,454,251,757,277,606,422,242,608,207,971,087,841,527,986,888,
459,382,680,511,831,689,510,672,434,040,696,643,870,531,139,368,502,571,900,
316,938,842,720,169,119,113,968,273,259,968,198,025,234,560,491,360,386,028,
566,923,827,045,524,975,966,448,667,240,075,748,611,805,671,764,089,170,817,
659,797,989,551,944,833,089,573,292,626,595,126,071,553,359,627,361,852,679,
782,802,567,561,120,554,204,177,356,675,316,756,713,430,537,392,892,321,436,
125,897,534,997,210,987,092,180,419,010,092,047,590,466,570,637,600,035,763,
043,397,657,703,061,857,063,242,787,058,990,612,950,717,574,766,869,520,474,
855,974,817,893,119,995,628,249,014,526,881,683,027,913,688,551,817,193,251,
589,366,248,367,340,361,531,852,722,222,969,797,915,571,735,177,624,080,504,
830,466,022,808,381,750,764,338,314,644,944,368,998,902,839,340,251,155,976,
484,709,383,376,860,135,517,906,183,583,586,883,566,823,287,410,391,177,999,
710,489,843,454,314,482,756,498,501,977,910,636,461,584,478,629,993,041,865,
867,088,364,345,644,425,149,740,919,356,275,314,723,845,617,683,025,502,161,
852,231,751,075,843,481,124,051,151,471,305,775,917,649,520,991,183,924,361,
345,408,341,245,678,508,464,465,642,883,928,706,543,896,874,928,132,101,265,
429,337,264,349,437,616,251,556,366,513,081,049,846,563,028,222,055,338,632,
259,995,200,526,522,870,476,578,833,055,544,612,379,067,575,273,684,423,880,
926,807,196,017,702,260,897,763,346,684,399,555,386,500,768,277,918,317,816,
603,072,125,503,572,231,907,195,903,573,133,170,330,199,926,528,104,926,863,
250,666,923,274,939,347,167,429,403,422,205,462,863,170,936,195,198,404,051,
317,166,172,779,248,439,318,666,174,365,520,660,876,370,567,420,017,521,628,
246,176,306,406,301,808,887,245,940,184,104,662,515,215,794,870,182,665,075,
962,834,812,846,002,501,874,507,912,298,700,276,489,792,371,247,946,368,447,
946,220,133,709,485,321,321,442,194,334,485,379,495,779,644,660,843,955,887,
421,924,662,156,885,503,311,401,952,627,362,629,094,254,013,436,729,118,461,
497,089,846,399,666,118,516,879,766,386,187,386,467,585,939,292,267,068,001,
131,700,428,757,466,209,333,340,188,223,380,865,779,740,244,440,779,080,726,
047,949,879,864,828,709,972,635,997,203,107,949,095,222,812,342,906,118,910,
141,423,571,756,012,856,530,219,669,335,039,140,667,542,519,325,237,435,286,
695,581,846,688,170,993,606,253,628,470,871,112,376,910,056,548,732,023,860,
066,857,363,345,618,495,092,457,368,834,607,503,740,896,916,061,866,046,646,
470,276,920,074,424,478,155,329,057,607,328,159,809,841,743,875,912,138,528,
085,382,268,149,247,073,307,159,958,675,546,405,730,016,525,808,226,862,863,
122,825,946,438,033,327,662,504,171,653,599,156,360,230,011,666,100,396,761,
202,434,028,217,591,178,680,203,413,264,350,733,513,819,042,762,783,304,298,
557,229,628,395,998,393,625,109,245,847,759,033,040,563,039,700,494,141,410,
569,821,129,114,205,595,588,373,230,938,000,065,686,826,070,170,181,947,428,
711,034,299,920,007,829,612,014,211,968,319,133,729,331,160,006,141,170,788,
596,864,118,512,479,870,484,275,115,271,100,887,613,686,445,749,658,891,725,
882,789,892,580,296,738,272,021,862,366,467,681,081,436,464,943,475,006,890,
349,266,846,729,511,876,081,571,879,839,535,645,007,115,250,993,551,187,779,
276,866,053,563,242,494,083,594,193,609,725,862,349,136,657,993,339,903,004,
060,261,145,524,729,842,544,761,756,889,022,455,904,937,251,087,947,897,367,
708,161,469,804,552,386,827,487,056,142,807,999,378,942,017,035,484,328,875,
517,534,695,863,002,897,196,449,285,146,224,778,226,042,437,707,160,856,057,
527,363,932,842,670,642,929,320,016,782,196,666,178,177,732,148,026,611,287,
163,809,501,774,993,685,629,075,049,682,883,599,345,868,252,523,968,346,519,
212,245,886,938,164,356,081,508,069,953,320,872,836,763,823,677,789,095,942,
707,227,827,546,534,920,921,808,943,130,374,148,639,532,111,674,610,600,243,
718,730,518,596,249,151,576,251,169,861,559,355,225,873,916,764,639,555,847,
112,186,662,198,541,755,668,956,343,449,534,322,665,783,260,153,040,617,101,
181,159,588,059,913,170,994,499,198,088,497,483,263,763,688,391,432,579,690,
018,478,462,553,305,914,296,776,468,001,481,052,016,621,789,421,430,563,206,
944,636,144,917,515,071,622,323,413,708,173,946,794,884,447,101,975,798,562,
335,258,225,834,796,143,152,292,849,917,462,082,211,904,238,848,806,000,040,
694,396,122,234,252,256,695,531,859,561,222,567,510,729,481,810,792,413,898,
380,421,893,173,877,159,758,062,483,140,083,403,233,895,143,056,103,637,097,
755,653,197,895,739,966,288,468,987,970,735,129,891,205,399,860,644,002,238,
625,186,786,095,779,154,509,480,928,165,669,758,415,256,652,524,982,893,220,
436,780,256,853,573,484,170,330,888,272,558,546,169,021,317,904,209,917,851,
792,822,310,715,160,566,524,488,475,498,968,449,644,622,990,509,379,092,363,
216,051,962,706,628,584,317,891,724,170,510,773,988,736,719,474,296,205,214,
162,431,058,853,847,003,403,667,118,030,384,823,527,040,629,511,891,369,255,
589,545,550,283,237,451,132,155,088,388,076,848,536,065,042,313,145,452,492,
776,252,647,947,463,991,504,881,917,492,952,559,775,509,160,647,811,961,033,
382,366,819,666,203,425,726,337,882,695,152,752,662,661,304,533,515,144,847,
013,052,181,385,285,438,275,439,536,853,242,748,277,419,066,431,702,076,683,
467,496,363,168,242,619,344,367,832,578,967,131,763,033,768,755,154,278,304,
781,001,190,979,502,173,143,419,402,484,005,888,213,513,030,002,768,035,483,
237,228,708,809,031,647,658,071,686,171,862,447,901,086,315,367,207,268,734,
792,507,122,980,766,325,379,327,850,522,901,716,128,821,076,199,865,429,032,
196,148,635,900,590,949,819,766,487,793,634,875,245,177,520,988,245,922,881,
946,642,380,839,820,995,093,349,712,408,367,833,545,507,739,130,227,749,589,
951,851,140,775,723,500,865,355,427,524,886,040,010,006,359,497,360,530,660,
430,176,264,368,332,538,914,390,843,412,079,355,845,656,157,298,918,186,069,
960,366,029,476,637,295,421,602,303,962,548,489,326,227,438,971,900,859,726,
649,218,961,540,906,036,160,021,097,126,377,285,051,497,633,923,068,362,365,
481,116,267,395,994,178,461,839,891,006,773,536,170,621,377,143,220,223,677,
306,788,986,090,341,529,147,181,366,067,122,221,814,149,304,179,317,981,092,
943,720,540,059,668,350,465,352,224,571,349,699,077,894,692,802,178,348,300,
164,362,248,201,692,460,138,248,130,835,578,875,628,970,217,656,917,297,458,
939,690,258,332,042,453,247,173,792,892,346,760,473,218,584,530,012,107,686,
569,103,784,484,216,207,931,140,475,315,026,963,070,558,658,388,888,762,124,
899,711,913,098,243,950,149,322,401,042,953,873,654,052,969,807,019,308,715,
315,685,882,089,282,001,374,744,970,390,379,164,990,247,305,573,288,867,596,
287,748,381,922,458,072,294,777,905,189,195,707,087,693,276,730,766,282,041,
216,959,064,910,397,951,973,008,557,691,989,575,759,569,457,555,810,772,325,
154,446,549,367,079,601,164,861,991,579,144,254,461,878,982,754,069,853,824,
697,716,242,045,363,473,306,245,821,251,100,955,183,243,910,119,844,699,964,
098,970,599,843,140,653,096,832,456,456,926,056,209,146,018,204,941,683,963,
469,249,233,989,311,013,483,179,614,529,655,541,380,016,364,332,922,642,596,
302,380,675,584,893,789,336,341,514,297,083,497,489,140,454,439,329,647,066,
673,777,784,366,487,293,936,760,300,790,963,738,631,270,468,177,427,927,394,
800,683,284,487,400,984,845,083,471,978,675,746,974,567,364,906,140,996,533,
847,613,720,593,066,278,766,596,321,850,633,831,955,205,101,888,284,183,476,
455,427,453,584,072,471,964,288,610,249,982,909,541,973,010,945,800,420,114,
819,019,884,340,162,308,858,645,424,696,901,586,903,140,440,884,785,829,859,
517,966,362,072,983,851,920,563,818,642,742,049,870,845,188,802,405,094,034,
597,229,119,153,852,153,748,276,372,360,681,295,279,422,371,684,144,556,175,
983,763,145,882,723,125,845,680,999,871,523,412,904,465,977,767,826,594,418,
299,828,354,254,160,573,252,160,792,492,205,588,032,900,730,367,383,953,689,
852,308,970,337,310,536,201,257,878,340,053,710,392,575,999,506,691,530,726,
511,925,724,150,379,891,707,692,795,769,253,569,145,220,266,855,599,711,561,
364,826,565,963,475,555,943,385,425,250,371,296,077,543,459,196,563,707,216,
346,114,200,500,960,909,025,098,261,506,554,913,425,239,286,984,903,200,481,
128,015,351,103,332,174,214,412,999,229,216,850,720,740,682,480,836,673,620,
150,783,716,660,997,637,924,360,490,348,556,561,820,314,076,146,731,183,533,
902,698,999,243,379,792,755,046,560,193,405,549,319,677,653,651,821,536,868,
624,374,251,371,022,701,828,204,654,947,356,157,245,475,340,862,383,347,661,
015,604,909,159,400,528,595,633,018,325,431,199,224,486,427,728,244,003,725,
295,045,124,190,209,773,063,637,988,391,457,526,748,516,782,602,576,413,949,
633,902,301,586,050,590,780,114,556,656,346,670,090,005,858,647,040,418,013,
713,150,714,207,977,324,733,417,147,708,353,955,068,347,857,390,112,000,533,
393,332,040,872,263,538,972,572,446,500,366,876,133,011,470,403,660,822,411,
586,151,173,625,678,684,627,488,288,199,195,406,716,097,764,099,846,702,753,
236,557,090,481,154,684,695,628,546,052,021,946,567,034,521,774,289,052,381,
726,346,586,131,002,708,996,291,139,931,638,881,642,534,862,834,671,885,962,
745,938,138,585,839,822,310,327,108,614,191,299,806,704,992,207,187,558,957,
230,670,369,305,074,657,857,290,733,933,698,052,626,457,892,759,612,127,694,
976,894,438,116,999,112,830,172,239,707,421,581,218,536,522,696,775,688,786,
620,769,130,527,951,519,586,213,108,066,589,238,442,413,092,148,279,989,082,
448,443,911,677,650,712,268,093,045,774,596,553,680,962,281,437,534,771,238,
457,378,132,985,587,596,867,518,161,899,767,505,084,015,136,030,035,065,184,
142,721,253,061,928,979,873,038,640,677,149,831,427,809,146,955,381,732,027,
337,155,766,595,687,274,649,835,756,624,495,346,714,760,078,371,265,484,179,
499,026,416,354,894,139,957,021,487,425,243,833,076,243,824,819,754,533,917,
590,004,464,367,833,406,592,045,677,205,602,025,893,417,367,889,456,842,544,
780,402,635,526,205,259,654,355,963,233,381,518,815,231,503,926,858,371,018,
194,478,581,825,376,052,770,744,380,791,399,078,455,931,061,400,264,602,716,
579,601,551,378,348,309,233,981,064,195,483,012,624,367,285,647,370,954,467,
236,423,137,173,518,017,509,344,144,248,858,071,514,228,892,992,827,768,451,
840,877,480,838,665,490,365,012,271,241,740,842,958,175,333,864,320,259,826,
079,938,189,486,762,880,615,693,297,959,075,236,282,408,866,514,637,519,815,
009,111,759,506,090,328,192,106,635,813,843,195,171,610,648,697,526,272,360,
953,739,214,692,563,668,994,938,839,059,947,842,189,881,704,884,244,006,921,
837,634,559,172,198,974,856,434,633,134,757,970,466,390,832,980,431,569,803,
292,495,919,966,097,318,911,068,950,228,894,672,834,833,420,583,765,342,592,
210,506,439,613,904,868,205,126,300,704,918,617,586,878,231,445,778,848,511,
950,313,823,249,728,751,154,951,972,025,256,162,753,834,192,584,348,851,363,
359,000,066,533,235,776,830,661,622,987,079,205,636,164,368,492,456,225,515,
459,671,611,193,191,145,182,874,248,424,686,694,216,138,994,606,049,750,213,
607,554,564,806,210,999,178,851,582,327,850,523,781,481,161,288,621,623,972,
613,890,707,315,748,557,795,919,885,739,584,359,143,630,769,749,409,409,925,
970,335,224,337,570,004,348,436,279,048,702,432,978,532,156,246,061,321,753,
662,893,280,560,711,856,322,914,344,058,317,094,841,768,001,201,714,102,041,
028,911,525,282,170,242,469,590,716,416,628,814,400,242,540,215,212,117,754,
255,061,377,615,173,370,222,948,254,539,082,968,523,951,320,856,972,794,909,
555,464,178,680,365,367,351,457,955,759,818,240,110,476,995,665,910,079,006,
577,890,250,413,108,273,846,653,625,804,015,183,749,582,595,581,731,154,847,
411,070,594,999,399,482,636,209,452,440,433,010,092,177,539,774,268,796,330,
309,849,089,458,908,306,655,303,047,098,791,982,597,574,131,246,298,216,853,
239,656,370,236,086,749,947,892,332,090,355,254,147,135,172,845,266,010,056,
218,908,972,010,040,746,333,776,413,894,598,408,323,855,637,830,841,938,201,
546,293,938,720,262,155,944,820,185,291,727,375,367,422,616,357,225,060,970,
815,821,817,047,192,482,800,041,414,016,573,303,408,545,763,920,690,209,182,
573,990,832,786,344,428,515,731,922,364,948,592,361,163,686,376,876,978,908,
776,263,146,716,115,604,409,567,900,074,397,908,429,736,032,101,400,109,995,
308,553,626,696,485,392,140,539,821,565,642,643,043,165,697,223,995,370,026,
445,146,055,318,815,555,998,162,801,688,618,833,771,560,488,555,177,190,256,
199,311,435,754,439,469,145,994,837,145,210,557,726,147,326,116,217,074,758,
975,650,231,318,367,942,290,445,097,592,683,410,813,547,431,934,997,231,645,
094,807,999,224,170,136,660,469,857,121,573,255,164,889,984,569,110,178,328,
056,626,579,535,187,393,465,923,992,667,849,391,763,438,533,854,798,451,007,
698,720,687,996,418,626,110,338,769,895,205,740,806,604,676,425,373,582,513,
458,005,484,687,261,033,994,760,098,089,238,276,516,633,650,824,401,827,896,
992,854,306,797,981,880,945,976,084,020,103,404,924,087,140,669,361,697,280,
872,353,357,695,058,642,532,414,956,298,155,804,842,917,736,113,803,922,368,
776,231,311,614,561,930,964,404,273,835,209,935,947,447,935,383,295,748,788,
716,304,197,266,747,210,430,941,218,233,911,197,277,370,255,590,150,348,260,
629,048,797,790,018,723,776,394,111,825,419,095,018,449,584,093,243,626,538,
974,971,755,853,966,249,231,345,870,314,647,820,815,696,610,461,381,563,298,
594,125,880,177,959,897,669,465,519,767,014,216,191,993,827,564,064,167,008,
699,695,148,875,490,636,734,462,248,948,311,918,823,716,643,835,155,772,802,
203,008,051,783,066,125,706,533,342,353,460,849,390,479,007,869,339,843,448,
930,458,688,585,067,456,882,084,758,035,035,043,630,814,173,124,030,300,700,
748,852,951,314,713,855,799,080,403,904,440,820,892,091,368,813,137,895,971,
715,369,610,277,579,989,293,508,630,319,190,807,773,336,371,143,682,843,537,
420,476,360,440,230,931,318,827,711,509,639,533,346,784,883,329,470,954,700,
032,570,700,302,970,716,426,215,953,563,143,741,424,995,983,716,322,729,806,
207,712,954,990,405,425,169,774,106,401,142,168,251,330,013,141,873,425,662,
744,851,879,197,535,702,911,721,240,727,408,715,952,440,666,155,014,593,905,
757,464,497,931,228,554,970,482,773,592,504,586,413,665,840,355,760,699,454,
444,760,117,674,617,903,017,259,989,901,457,023,735,394,958,338,030,026,669,
247,653,513,846,438,696,811,794,669,227,592,460,806,079,730,250,312,151,971,
301,730,979,185,160,897,271,829,988,205,489,289,419,915,870,948,233,637,047,
210,033,260,739,364,487,260,209,067,798,237,663,446,581,891,458,100,703,686,
239,978,590,885,541,412,951,590,578,404,559,349,096,955,859,100,921,122,219,
939,142,775,540,061,545,508,271,360,967,203,251,991,610,892,320,102,904,929,
562,537,932,867,867,930,303,040,389,251,271,536,695,439,146,747,140,627,616,
620,680,288,620,654,585,161,103,582,673,400,343,958,405,705,347,832,825,724,
208,583,682,834,199,776,495,362,653,354,835,679,489,879,776,048,241,450,779,
870,120,072,929,868,933,763,194,029,712,932,550,987,559,807,116,918,608,637,
475,021,622,273,125,500,784,521,773,165,611,776,818,405,681,386,297,182,061,
564,309,278,048,701,904,182,655,879,312,242,385,026,051,540,369,358,058,296,
277,499,849,695,133,905,602,910,140,034,863,242,310,772,843,974,294,253,979,
615,484,316,672,969,170,476,660,272,607,544,188,481,613,080,453,846,369,826,
509,171,493,620,991,469,930,252,213,816,851,288,582,697,323,989,395,678,430,
075,531,918,405,377,169,498,629,847,465,135,249,388,497,541,427,916,583,426,
372,493,456,813,076,170,901,762,181,259,218,767,629,663,163,631,639,130,783,
349,430,939,031,552,848,257,161,163,260,558,946,203,507,564,361,953,337,970,
943,367,102,311,826,887,546,611,940,738,574,984,760,568,957,483,253,466,824,
474,711,552,826,914,014,726,002,735,781,288,791,082,183,824,830,281,313,713,
923,449,614,335,495,219,047,641,353,940,084,609,548,341,549,304,645,672,676,
085,983,814,810,569,274,591,492,069,684,664,322,689,098,823,715,973,924,751,
936,172,585,656,817,649,054,613,533,298,604,305,086,239,678,796,092,307,256,
217,735,006,887,952,217,911,780,436,097,472,664,511,371,113,730,016,614,047,
160,813,984,107,314,254,553,538,436,072,211,388,409,785,953,683,620,688,308,
112,916,276,040,794,558,515,787,195,854,492,882,180,924,931,919,988,794,621,
442,284,491,151,404,365,730,205,410,380,082,209,061,014,665,046,888,864,666,
021,359,308,202,086,918,079,919,649,250,536,744,040,478,396,941,021,233,953,
936,673,509,838,766,857,324,139,726,688,787,548,303,035,511,705,657,394,796,
177,700,608,902,377,142,942,787,140,390,552,565,351,972,255,966,380,185,806,
840,810,984,879,067,220,685,764,631,922,377,415,728,293,523,481,498,919,237,
171,200,835,585,890,088,621,762,273,468,162,215,110,056,468,921,703,282,514,
865,100,002,993,764,205,739,508,499,773,264,448,152,290,149,810,194,199,266,
415,395,677,793,268,906,997,802,059,293,616,515,263,587,633,193,754,665,609,
022,563,086,551,692,628,125,990,307,787,847,686,938,563,537,185,219,555,615,
754,030,185,001,626,254,996,052,145,472,497,640,760,485,168,489,708,279,483,
388,888,399,811,040,696,797,757,017,240,483,329,043,526,879,067,324,291,865,
302,516,453,446,291,231,453,776,454,342,444,505,238,696,395,709,303,891,050,
399,848,317,520,720,020,543,427,519,149,465,381,773,413,913,488,377,109,116,
462,746,977,227,698,286,358,104,240,612,879,285,901,444,858,524,312,084,168,
293,297,752,514,454,911,672,965,730,471,825,472,627,452,202,647,649,469,239,
834,542,927,210,856,881,888,745,839,953,387,322,867,992,276,744,080,614,783,
887,652,764,968,329,960,341,649,848,753,287,137,702,925,136,704,891,213,379,
699,799,973,551,950,518,209,849,812,212,007,064,380,587,782,685,148,681,492,
024,375,265,441,982,526,319,510,094,307,682,450,053,824,962,407,562,454,594,
745,707,146,972,845,260,869,572,806,136,019,823,550,017,418,966,880,926,034,
286,795,204,916,494,458,424,365,771,445,438,822,371,086,168,310,869,061,879,
741,050,271,358,073,693,389,316,823,238,294,672,513,909,395,148,743,044,784,
510,247,777,662,044,758,025,303,268,019,333,890,123,182,652,976,454,141,476,
361,729,376,822,252,133,852,755,533,471,845,924,793,726,328,311,180,057,043,
947,576,175,067,358,753,572,320,954,041,040,550,975,860,581,987,043,503,600,
219,138,366,097,309,179,024,711,843,070,512,978,103,835,220,753,918,126,885,
113,300,333,793,756,379,454,692,008,988,004,514,662,353,659,627,818,305,352,
119,737,122,682,894,261,746,852,010,059,297,104,644,356,456,240,385,168,153,
320,524,746,479,192,958,560,646,564,448,963,457,559,935,530,767,367,411,310,
638,558,501,558,256,159,286,328,379,757,544,739,579,325,541,444,313,217,122,
110,164,632,754,979,718,983,311,493,273,686,552,798,568,432,490,489,628,839,
337,154,637,515,807,249,707,414,594,241,445,089,422,563,475,156,537,288,882,
955,958,292,616,178,676,261,983,021,108,669,224,687,487,791,489,681,729,859,
530,264,872,256,303,586,786,599,124,789,792,037,086,861,263,090,674,577,372,
604,806,304,997,038,379,619,689,333,178,870,251,717,242,969,540,890,183,254,
509,754,137,041,392,692,688,093,458,168,870,563,971,802,332,235,798,345,588,
236,479,626,713,197,225,374,340,105,337,025,370,648,597,959,259,157,288,310,
162,920,129,479,174,940,018,177,005,295,106,265,159,654,422,509,638,586,390,
003,824,679,625,046,340,583,019,845,028,781,060,106,504,854,423,958,234,591,
523,977,685,265,906,786,479,591,627,521,438,113,420,974,198,410,360,799,187,
660,514,943,595,393,523,230,326,456,977,444,529,536,131,726,602,683,648,884,
413,590,742,620,148,045,159,779,742,119,292,355,092,809,802,363,615,248,918,
169,224,535,071,579,043,312,784,016,675,744,721,008,647,949,365,973,338,059,
602,828,536,785,087,006,918,683,442,802,707,906,578,962,002,212,007,551,846,
729,289,624,062,534,804,502,677,555,856,355,859,250,465,162,277,336,675,799,
219,987,423,458,111,249,031,873,855,124,130,371,461,871,969,240,060,557,688,
448,866,380,767,659,747,656,288,405,635,690,512,153,862,654,166,401,493,970,
987,727,531,021,035,524,330,958,164,896,655,224,509,313,218,773,122,969,320,
677,075,922,303,871,003,863,253,707,043,379,284,553,475,423,858,171,615,959,
966,366,577,254,480,627,552,791,121,351,026,926,377,995,479,782,884,241,546,
369,716,431,952,959,528,629,095,992,153,186,821,554,870,557,489,956,647,026,
706,700,355,734,704,399,066,201,710,258,591,477,843,189,102,710,121,759,083,
998,405,216,169,328,167,256,308,507,161,635,224,532,947,150,923,764,491,739,
820,638,242,879,719,247,362,260,466,108,239,274,051,024,593,313,629,411,459,
662,999,613,033,337,101,157,260,324,028,935,059,109,688,297,263,540,982,346,
161,379,750,731,083,249,051,285,902,318,318,917,899,467,102,014,399,325,831,
639,808,119,140,062,953,538,588,560,038,618,009,563,051,588,670,803,468,279,
725,276,872,552,116,641,375,735,155,202,765,626,147,133,882,781,262,742,509,
219,829,282,376,143,945,309,075,331,806,152,412,715,314,818,992,432,715,033,
023,583,496,994,164,644,246,101,044,956,578,031,859,692,499,606,357,959,838,
725,871,427,083,709,996,708,665,314,235,807,180,767,885,157,511,022,181,316,
975,858,193,255,468,963,690,032,892,362,248,126,550,210,629,183,969,250,231,
900,157,016,784,192,503,121,532,294,543,986,926,473,254,802,831,073,724,236,
660,150,826,168,992,495,436,051,796,487,810,960,108,440,783,984,518,357,211,
883,094,337,588,817,446,335,816,528,433,017,310,038,573,938,401,108,433,920,
202,773,957,672,556,004,808,385,531,047,565,002,630,064,186,242,424,106,566,
635,720,559,414,101,384,925,893,558,059,857,887,358,829,380,412,751,220,710,
507,039,777,544,451,972,675,902,989,058,603,359,483,612,867,660,950,814,123,
373,688,314,947,184,008,263,521,791,481,421,453,248,047,970,792,873,889,437,
948,714,408,841,565,380,288,114,471,126,798,074,014,023,302,240,776,135,803,
880,275,937,403,231,409,027,171,573,852,498,324,836,399,550,494,186,461,635,
536,082,606,245,146,857,108,143,529,786,774,179,573,158,616,169,340,030,461,
584,031,932,021,583,574,652,632,976,998,904,444,605,099,326,087,207,525,669,
328,093,502,807,781,365,588,164,295,657,409,693,004,134,714,034,495,911,931,
950,996,107,657,343,783,552,346,250,354,994,097,049,290,116,246,370,330,798,
977,550,320,373,006,662,191,730,648,411,733,110,142,931,666,493,075,779,759,
468,997,641,827,345,879,085,106,061,654,851,294,604,574,750,391,112,151,267,
337,455,231,874,383,453,687,534,314,718,598,503,710,881,200,303,267,843,689,
383,252,973,616,120,957,093,139,110,964,080,692,223,079,793,938,269,982,822,
944,218,644,100,730,021,634,379,924,277,035,266,584,339,495,127,896,383,378,
749,598,534,386,693,213,883,711,073,732,968,120,909,868,761,368,734,411,105,
720,514,575,962,192,459,118,833,010,887,129,712,733,010,253,741,781,888,601,
640,478,590,862,876,536,535,505,739,619,937,607,069,041,445,205,909,736,200,
965,071,052,218,227,004,686,946,835,783,589,288,367,140,852,118,166,460,203,
719,241,477,552,864,277,118,172,772,780,183,508,114,775,342,236,948,342,300,
912,785,053,613,647,019,510,530,777,622,813,631,269,889,127,188,055,167,632,
734,540,728,394,176,275,533,723,570,800,743,737,504,705,775,576,528,862,965,
074,086,400,617,169,681,664,206,718,554,475,556,716,038,486,305,976,733,495,
532,239,911,835,036,008,067,586,344,782,016,907,135,445,443,524,435,167,421,
592,705,366,832,165,963,188,009,071,698,455,911,869,445,818,837,498,539,303,
502,646,444,732,914,338,836,473,833,593,275,011,396,271,408,475,825,623,719,
655,121,484,770,040,569,837,076,441,950,733,542,911,998,408,738,812,412,011,
036,149,429,379,223,428,919,771,953,629,140,740,698,221,205,336,377,960,728,
108,443,406,712,994,027,470,307,418,762,861,622,499,164,859,171,017,593,325,
167,183,640,314,160,820,736,399,525,178,999,890,787,766,328,728,495,034,460,
307,845,295,948,949,730,534,180,436,143,030,181,334,351,606,288,777,292,431,
379,401,681,711,405,540,129,324,830,932,837,016,298,893,925,763,570,492,235,
623,549,155,840,698,666,369,272,316,319,570,716,092,180,501,568,418,967,450,
891,599,584,746,819,591,349,251,346,434,475,918,249,297,544,082,682,935,110,
000,310,500,459,025,345,898,605,406,509,643,376,528,644,788,716,700,133,026,
064,804,695,954,356,245,392,615,450,850,431,833,863,755,889,599,167,265,589,
052,235,695,026,582,127,183,907,665,232,053,869,058,244,648,067,648,177,505,
330,240,785,821,278,237,336,460,372,053,846,008,206,037,440,099,067,834,709,
849,842,998,173,043,142,470,868,503,270,193,299,904,214,127,023,726,947,965,
205,166,270,030,225,276,613,194,474,873,789,307,945,173,678,378,890,565,983,
262,725,247,938,997,535,760,402,749,752,369,378,880,695,692,720,368,439,695,
259,632,971,738,048,139,562,597,660,086,522,008,893,450,569,328,660,332,310,
229,925,920,312,691,339,896,618,584,652,000,107,101,538,004,828,249,026,749,
874,167,774,919,475,428,508,252,088,214,105,992,113,852,110,671,070,805,825,
523,820,807,938,776,696,981,858,224,021,825,054,801,077,817,154,326,568,182,
549,522,012,979,020,046,292,521,034,865,557,417,212,658,497,558,933,808,956,
623,119,726,918,855,425,964,827,734,798,853,329,039,609,620,318,284,473,227,
757,459,016,550,631,082,703,616,540,084,800,793,925,669,740,795,666,771,584,
279,523,744,785,513,531,346,057,714,976,813,560,219,616,467,858,287,994,121,
302,002,915,820,411,801,349,231,043,719,236,952,014,145,370,681,507,920,329,
627,952,035,053,133,442,120,391,380,820,261,176,771,793,506,301,100,989,043,
722,105,429,758,735,934,855,215,347,724,096,415,705,144,437,772,787,083,188,
814,836,793,070,316,781,812,987,571,520,841,208,144,678,034,755,211,051,038,
791,528,838,558,011,973,591,672,623,330,167,489,560,603,071,266,227,242,896,
404,250,724,816,696,824,410,129,352,087,958,002,202,352,724,403,445,096,231,
986,772,903,366,472,408,497,776,784,273,820,168,444,332,111,600,057,970,705,
357,343,054,197,316,165,073,423,330,733,198,939,625,101,889,172,578,848,810,
636,230,700,377,112,939,645,339,961,818,340,586,307,100,107,808,867,181,641,
283,843,413,751,756,511,414,889,814,594,004,928,769,198,787,177,774,253,383,
121,352,485,092,539,419,950,929,621,799,859,336,637,955,311,938,123,675,067,
846,951,844,934,507,562,589,721,050,830,914,114,041,221,041,127,358,690,039,
879,047,657,760,206,057,101,749,602,976,388,569,211,822,881,763,306,409,399,
530,215,916,350,886,985,712,293,975,538,698,768,479,300,795,172,154,132,539,
755,423,188,135,314,335,098,605,444,782,919,073,132,783,187,041,867,427,353,
504,372,434,993,337,156,956,123,090,581,470,035,016,805,609,997,757,721,430,
004,952,026,564,536,616,427,815,891,006,029,927,904,850,041,725,981,741,268,
482,291,087,197,138,917,536,199,561,883,172,567,170,158,266,107,575,542,484,
899,344,381,848,545,708,631,028,284,898,397,527,985,437,435,002,560,171,014,
792,085,553,528,862,750,227,731,340,066,754,900,034,220,186,879,738,726,625,
585,343,016,227,844,453,058,474,457,930,058,563,223,147,580,358,532,485,794,
440,301,966,706,041,051,611,748,215,827,194,620,543,130,012,601,566,375,840,
191,803,564,872,638,638,412,944,655,365,603,004,547,142,481,024,564,333,731,
297,190,376,750,222,786,743,889,880,240,114,908,117,821,008,408,441,751,547,
425,096,441,382,793,598,662,739,715,311,196,397,000,150,618,560,657,344,597,
713,495,780,292,671,793,403,360,740,598,268,097,082,736,188,982,745,888,848,
742,825,995,017,981,150,464,486,409,460,398,235,151,809,234,219,972,360,098,
429,988,143,741,387,356,312,793,658,400,327,941,991,193,738,866,186,108,950,
849,642,163,527,894,344,611,096,617,763,459,070,222,724,087,663,261,571,503,
020,579,759,014,433,887,029,040,925,055,651,577,985,334,469,087,366,913,846,
032,729,618,223,732,708,557,988,463,682,817,150,004,171,552,847,735,546,578,
167,353,683,835,904,043,819,788,511,236,278,687,948,693,950,309,456,939,888,
616,846,928,090,941,973,194,889,195,398,948,105,770,752,320,661,780,976,122,
164,834,428,912,883,257,348,455,619,233,614,968,474,181,124,960,029,619,677,
798,941,646,205,372,963,880,036,058,631,938,448,414,864,122,799,261,169,624,
659,394,953,090,490,246,911,476,696,650,905,516,247,204,796,963,412,955,668,
148,292,939,648,471,749,827,108,897,260,512,191,879,668,484,361,485,202,640,
891,443,881,436,505,950,790,739,477,229,725,701,191,468,555,011,033,671,432,
420,111,301,943,305,716,860,972,226,344,496,919,991,235,613,435,381,428,546,
871,872,119,436,175,326,833,375,134,804,768,905,765,470,218,502,930,819,124,
272,196,418,511,683,347,856,428,220,110,596,110,200,444,372,883,897,268,475,
711,204,552,862,943,577,075,316,222,488,129,806,322,000,235,495,872,790,123,
377,486,778,722,497,759,504,847,912,819,700,187,376,858,300,788,928,035,363,
912,795,469,650,078,523,053,238,609,673,599,005,195,392,615,256,855,953,233,
166,311,976,533,572,744,329,897,139,353,519,377,185,617,177,288,323,399,549,
741,876,250,761,731,352,363,327,953,457,878,858,236,392,641,600,663,339,703,
842,195,550,178,269,850,265,663,220,589,133,835,780,294,849,942,828,433,363,
648,646,868,507,379,849,364,190,242,598,004,263,952,962,086,692,012,536,541,
013,528,121,978,548,979,333,209,928,383,568,652,287,012,248,527,612,228,246,
018,352,463,526,510,744,184,904,970,703,196,811,960,540,018,037,622,716,108,
208,944,130,499,632,252,951,321,295,986,396,896,744,628,265,944,283,521,942,
103,612,296,163,902,040,004,705,275,947,053,565,924,348,746,788,317,519,202,
674,656,040,230,172,591,382,407,373,123,174,905,467,593,321,200,891,338,581,
626,683,750,026,367,309,896,683,057,452,654,229,481,319,448,511,729,911,560,
741,122,910,114,774,289,404,965,691,539,856,250,926,597,298,161,918,181,509,
607,463,092,867,649,581,903,716,632,654,740,349,689,379,098,181,194,261,603,
013,127,815,938,786,659,468,501,163,061,849,831,457,480,635,255,012,536,207,
126,163,678,316,393,863,462,974,325,404,147,031,821,306,953,927,690,593,201,
114,553,903,309,070,667,859,431,113,818,001,738,498,903,054,774,363,620,356,
681,566,515,346,705,721,150,774,882,807,847,236,013,542,832,858,009,611,792,
279,107,926,070,418,802,854,799,375,956,812,500,777,911,887,489,651,698,912,
446,338,967,094,286,048,678,244,874,113,989,157,102,876,985,666,199,190,907,
605,764,312,912,784,361,296,209,586,845,160,885,769,296,258,152,863,727,040,
917,073,757,934,120,929,478,034,520,661,890,875,901,002,790,535,799,193,505,
400,134,132,765,137,193,482,997,142,089,678,696,447,714,029,453,847,635,326,
183,067,149,580,253,863,076,283,467,961,063,138,471,644,995,316,775,222,709,
186,802,447,183,405,251,907,948,747,327,570,227,543,928,095,554,673,289,016,
028,960,823,998,391,775,610,048,372,690,254,626,063,396,835,376,983,276,366,
910,956,286,815,089,906,323,615,540,283,324,226,615,358,821,590,759,698,176,
703,110,948,256,785,031,040,025,624,107,564,540,519,279,838,617,185,745,630,
676,996,328,436,188,011,655,404,976,895,984,532,196,437,189,883,197,081,070,
302,499,346,133,503,416,153,946,174,119,685,828,909,329,851,014,962,567,270,
873,005,288,740,640,842,337,246,091,230,665,777,643,086,415,360,588,524,890,
121,050,929,777,728,805,869,117,069,888,001,471,490,941,180,450,765,581,761,
669,871,491,599,703,249,205,080,684,395,055,721,028,141,452,374,826,615,796,
731,244,296,893,047,608,278,363,492,909,167,969,325,870,330,006,382,410,011,
805,720,667,197,654,950,410,864,999,471,035,011,209,634,242,512,865,942,693,
107,813,845,285,728,238,143,145,323,012,771,647,439,409,920,064,099,253,812,
000,468,678,882,104,126,645,690,638,439,954,827,097,467,618,165,209,869,609,
180,593,255,243,384,491,965,318,414,264,962,095,063,410,483,421,489,080,683,
953,111,029,239,814,136,725,018,460,367,097,361,312,112,599,106,060,611,167,
709,891,992,137,340,675,613,891,692,961,838,074,797,634,374,918,402,584,212,
225,907,606,563,323,873,836,871,273,797,743,310,081,804,536,912,787,447,835,
242,818,238,654,341,409,745,052,871,694,022,719,821,769,966,449,762,898,731,
344,283,962,938,338,544,112,041,479,170,333,308,207,640,796,270,309,831,211,
359,610,986,097,317,051,219,173,342,286,559,808,123,500,512,042,099,827,471,
709,649,548,438,945,222,113,932,846,291,404,201,956,432,076,271,103,225,585,
715,648,206,774,001,202,742,218,554,410,610,355,456,898,902,381,426,441,773,
019,515,515,227,094,715,450,302,416,901,785,004,352,540,949,326,525,974,292,
046,978,503,626,097,646,043,412,516,164,791,600,930,062,246,958,350,555,976,
560,207,942,046,525,058,273,414,124,366,438,612,288,698,958,222,445,938,164,
791,876,493,746,785,870,882,509,768,065,411,561,803,514,347,649,695,446,023,
464,263,363,040,547,875,976,857,259,734,844,147,164,562,809,447,758,787,587,
032,535,933,784,276,534,173,176,068,039,072,714,524,767,432,896,541,107,448,
401,997,387,617,393,671,027,809,008,983,220,190,543,640,190,591,171,621,356,
894,611,814,791,581,243,914,495,236,728,069,133,278,464,056,924,846,754,667,
932,812,517,266,870,360,019,018,120,724,472,103,091,105,704,671,123,742,319,
756,922,832,096,472,145,569,824,623,291,386,951,769,442,943,508,142,838,031,
570,873,302,606,663,344,432,327,274,218,621,103,782,373,930,571,694,414,935,
628,244,173,400,201,903,937,772,097,425,639,099,299,420,961,990,191,723,416,
887,383,186,900,323,410,373,185,161,478,116,686,700,441,012,135,877,528,718,
728,217,783,670,799,562,342,821,481,756,004,891,829,294,096,678,600,611,429,
265,509,793,947,715,751,270,956,692,742,608,155,860,440,369,021,592,100,599,
488,239,544,518,683,930,839,354,910,897,513,071,896,040,157,766,223,161,859,
719,407,064,662,561,230,133,342,763,573,187,600,925,811,188,964,874,498,602,
979,838,041,126,095,578,794,512,263,733,676,407,481,390,955,075,184,204,882,
370,107,788,439,752,464,182,916,263,305,102,144,847,667,303,162,994,796,986,
135,850,221,218,398,884,416,374,723,998,441,021,221,289,706,094,408,824,035,
712,751,875,744,151,901,646,864,672,326,570,734,989,895,275,299,668,338,882,
080,707,848,128,282,702,563,424,383,541,775,320,623,913,932,811,660,221,588,
702,849,614,700,646,551,706,888,742,497,107,357,467,916,358,791,799,806,185,
099,924,046,684,972,290,942,477,847,793,524,927,792,679,229,525,771,228,436,
225,445,921,058,875,589,739,664,329,480,227,738,045,077,797,234,040,673,731,
529,208,535,922,316,772,640,498,903,044,592,436,929,791,500,880,127,594,361,
684,063,501,610,676,828,094,691,766,559,468,022,516,660,723,157,696,314,713,
626,280,788,403,357,879,093,981,123,302,227,575,258,448,057,395,289,387,908,
119,913,696,559,119,220,799,934,739,123,120,124,851,804,572,063,770,885,604,
319,646,014,236,720,310,232,330,040,652,498,241,663,994,827,190,221,170,410,
949,096,110,153,906,531,028,138,108,597,153,706,401,499,026,448,537,416,976,
586,619,254,668,959,465,670,509,351,718,037,658,453,342,937,838,557,802,741,
694,043,664,065,140,262,973,276,092,073,605,692,933,073,401,714,146,489,044,
841,984,321,797,616,025,875,969,708,744,016,930,823,789,722,761,706,562,444,
284,582,018,671,455,215,945,222,566,374,931,868,114,090,777,195,679,778,708,
657,905,423,224,264,533,925,946,676,382,916,949,903,035,894,199,904,787,463,
251,721,465,644,457,434,454,558,216,993,119,345,039,250,621,426,537,830,097,
075,497,182,266,053,508,495,995,907,953,434,272,241,253,057,525,113,500,516,
618,651,667,491,945,833,929,354,365,025,450,986,412,457,229,499,816,644,511,
093,400,475,949,688,890,523,345,273,362,947,963,471,728,067,978,058,161,165,
781,241,850,988,106,386,352,785,036,308,036,809,680,727,882,607,326,244,303,
871,452,357,893,019,262,395,567,847,152,951,803,242,553,158,878,846,316,915,
537,284,257,114,135,150,644,306,185,959,419,492,697,573,387,066,795,315,671,
261,102,246,499,283,171,027,053,384,245,547,973,653,381,334,418,913,783,611,
979,803,696,451,785,095,630,243,240,831,282,718,652,336,878,807,621,286,324,
328,867,834,383,760,794,919,970,466,607,174,578,806,793,144,762,755,779,737,
118,122,118,972,647,723,777,522,487,259,162,659,468,107,974,221,777,224,138,
296,658,755,903,061,346,162,929,973,433,870,676,842,935,129,241,954,532,332,
027,861,530,186,887,436,332,156,370,546,192,743,234,948,628,620,606,740,320,
742,890,347,378,453,439,429,863,974,402,163,555,800,054,814,143,249,287,975,
227,628,273,349,303,159,868,817,661,320,821,837,399,511,038,798,466,417,468,
183,245,553,171,391,643,786,735,608,121,486,119,209,054,297,226,658,139,787,
812,025,092,028,650,965,015,773,165,893,224,081,523,221,213,749,102,214,007,
597,741,574,275,605,647,733,459,883,258,015,525,158,352,586,577,687,170,362,
062,787,511,077,303,605,608,431,162,141,338,357,644,452,051,697,030,381,782,
858,549,888,076,169,316,538,672,719,268,138,412,040,675,050,770,006,943,231,
688,917,677,063,841,855,206,298,393,729,955,592,400,638,044,652,903,415,794,
714,534,725,703,417,030,783,580,600,383,602,059,098,121,085,792,588,285,371,
001,925,429,243,452,459,928,520,825,780,573,657,075,817,566,116,052,440,699,
510,971,991,521,220,823,146,715,326,949,848,946,815,485,325,507,495,965,363,
384,355,789,550,492,393,538,676,107,907,560,218,852,713,287,070,300,408,075,
760,824,107,663,051,103,295,943,959,025,487,590,837,841,371,739,183,343,856,
461,061,638,860,903,168,431,123,391,854,404,815,892,019,743,959,963,067,239,
053,001,625,449,383,642,109,993,875,820,733,256,046,378,427,636,215,182,517,
008,847,799,550,262,666,344,024,727,412,327,220,034,373,387,379,958,795,633,
176,311,063,762,415,489,923,333,186,357,097,916,933,763,165,170,959,624,374,
419,403,193,892,586,533,089,029,855,883,208,141,156,848,607,534,754,404,152,
255,723,160,426,395,010,887,142,531,688,944,379,385,565,338,298,248,311,288,
377,928,972,190,199,384,723,361,488,287,113,656,327,959,903,884,905,955,783,
728,873,478,255,434,297,853,118,723,724,597,113,555,650,364,781,905,450,465,
955,364,252,690,066,719,270,157,066,821,575,823,585,247,040,820,024,332,697,
354,183,381,429,461,930,541,639,878,804,096,523,013,551,890,119,399,856,483,
306,981,795,028,310,844,278,162,275,289,019,015,338,205,089,615,987,167,288,
780,808,293,771,434,239,638,965,629,559,585,421,300,388,819,798,198,244,623,
778,673,351,565,919,450,472,513,680,556,479,603,863,687,471,179,245,406,492,
748,396,831,559,710,479,448,466,683,060,367,297,412,578,299,073,655,998,362,
137,944,976,671,532,879,919,882,966,353,792,601,306,419,553,834,755,891,671,
615,001,041,321,979,966,713,724,411,358,848,902,577,656,517,521,333,972,150,
576,705,713,666,166,998,426,107,716,463,705,314,149,082,688,232,598,287,494,
679,896,460,813,728,499,450,738,584,152,164,181,534,743,715,398,690,629,629,
888,055,660,563,474,821,160,335,782,624,220,094,459,024,326,474,172,193,905,
212,824,640,245,909,497,437,400,943,211,499,601,397,045,026,216,057,813,688,
335,263,956,432,738,933,947,052,920,815,694,157,096,892,941,356,321,003,823,
861,727,482,330,014,734,927,359,991,809,440,423,852,951,359,185,958,502,704,
974,555,482,031,817,587,317,536,201,442,771,694,182,926,548,357,723,671,953,
451,494,519,883,246,070,683,212,719,684,206,068,513,041,907,691,135,318,187,
789,952,944,638,974,939,878,401,153,743,390,196,537,763,250,620,602,071,280,
387,489,147,479,079,156,334,863,011,798,324,679,163,717,609,311,397,425,930,
256,543,268,273,336,368,194,349,912,037,110,215,716,569,760,193,874,252,589,
321,764,081,097,962,867,501,701,659,699,602,849,685,669,218,372,662,355,788,
277,061,718,967,353,250,957,285,915,665,949,656,960,023,661,247,520,847,166,
383,000,464,605,375,648,681,432,660,140,819,387,284,111,987,708,100,170,995,
604,815,710,117,663,823,781,839,631,154,065,768,488,580,820,702,837,174,914,
426,593,118,947,492,269,669,717,775,817,222,009,260,815,769,366,848,606,390,
083,946,699,300,624,329,160,376,551,579,970,063,493,409,618,935,704,539,658,
863,573,506,267,890,372,974,437,133,904,784,633,324,443,894,490,998,199,741,
352,914,651,026,927,971,483,603,184,056,210,077,996,276,753,992,090,246,802,
227,340,804,317,021,005,771,923,317,708,655,687,471,441,289,469,417,666,267,
383,095,378,565,859,208,170,347,505,531,741,825,964,135,074,897,144,122,489,
638,128,478,813,892,904,208,103,512,787,438,608,341,938,315,469,535,592,259,
212,832,096,756,965,123,425,697,313,933,659,013,202,608,885,437,497,165,338,
802,977,551,342,210,627,276,989,354,857,941,645,450,397,103,868,740,957,093,
782,295,244,496,033,134,908,675,306,965,347,644,938,623,069,759,419,060,225,
906,790,747,113,058,167,101,007,245,328,440,896,328,993,004,210,431,914,281,
762,990,863,493,361,789,293,194,407,737,514,881,891,990,497,770,139,858,217,
844,797,894,691,663,933,372,969,409,451,667,319,427,988,078,370,672,182,010,
583,929,322,929,857,047,592,952,922,736,391,963,314,396,874,499,630,701,509,
759,510,137,187,472,117,401,024,407,172,537,148,317,271,013,828,493,670,609,
913,102,669,148,579,536,365,602,804,693,421,949,903,956,209,473,277,699,182,
980,160,555,531,828,454,522,579,802,391,649,080,651,970,978,336,397,822,282,
150,947,248,587,437,869,957,417,241,431,558,408,036,729,498,690,942,206,027,
617,727,815,145,095,239,822,136,645,577,280,098,682,343,864,790,464,206,450,
520,571,740,171,387,664,348,394,682,766,101,926,728,709,721,176,519,021,630,
471,426,362,744,019,739,604,007,377,359,671,138,787,748,923,301,675,921,825,
698,889,829,378,649,167,948,934,705,599,011,777,374,552,608,962,024,805,825,
516,627,454,677,803,615,545,389,339,942,762,262,514,176,705,943,443,568,415,
681,261,802,721,741,649,400,041,726,795,561,048,437,419,967,860,962,392,786,
675,286,068,479,755,478,730,394,944,777,018,656,185,589,476,077,085,132,455,
700,716,763,468,609,121,668,241,080,483,946,364,128,757,514,905,451,933,674,
700,717,787,254,453,854,501,420,569,031,339,431,017,485,497,674,653,997,026,
862,218,912,816,164,717,352,271,403,504,456,039,015,827,497,062,745,370,819,
403,190,881,949,733,620,070,176,022,081,971,439,614,990,066,215,797,678,529,
522,930,405,526,816,480,808,219,874,961,878,590,416,503,150,493,585,290,662,
453,752,977,359,840,304,494,851,933,438,605,725,536,424,878,978,637,881,744,
432,221,131,716,095,576,252,348,684,429,519,173,464,866,798,481,228,091,122,
964,330,385,719,730,215,783,410,627,463,853,888,056,324,428,103,301,723,493,
459,658,266,517,305,340,111,215,756,043,618,844,656,668,382,924,905,761,643,
184,577,336,838,950,168,610,471,089,396,242,195,637,853,777,460,681,015,149,
390,516,506,688,446,368,027,803,965,259,168,913,524,200,343,031,576,742,951,
027,611,153,923,311,617,720,365,290,547,909,950,698,518,763,741,596,100,117,
431,055,321,522,108,477,080,012,437,905,215,676,778,524,641,768,374,723,226,
326,510,095,074,319,665,719,145,812,083,221,887,803,000,207,613,313,461,027,
586,289,806,849,505,545,459,179,683,157,211,149,393,895,687,475,234,544,975,
790,215,819,550,683,910,891,104,789,290,504,593,741,140,101,885,816,629,111,
939,786,877,165,516,142,742,954,539,965,900,831,166,545,499,222,237,573,578,
079,849,964,220,570,231,322,688,069,783,568,911,889,100,282,233,897,281,262,
037,004,911,127,338,706,020,769,075,314,443,840,605,915,291,724,084,322,419,
090,269,444,018,448,712,328,448,729,968,684,362,362,561,891,696,440,445,026,
643,108,323,513,317,839,076,027,625,804,874,802,960,162,343,259,776,213,136,
651,119,304,344,928,855,574,541,674,681,334,340,597,289,714,660,471,812,396,
970,223,404,231,456,798,150,595,895,202,742,931,047,373,719,382,856,725,341,
188,356,067,452,945,464,284,477,381,618,315,339,293,850,855,876,930,538,547,
184,861,505,031,162,024,979,312,903,729,463,669,507,256,521,541,346,187,523,
294,750,709,398,795,927,028,879,672,347,957,884,908,996,145,877,390,669,191,
735,492,809,327,985,202,310,444,327,328,917,173,290,121,732,330,105,739,246,
875,314,263,739,939,067,258,930,187,869,303,435,411,626,623,311,321,816,727,
819,777,634,694,950,952,072,377,669,726,377,226,727,266,039,928,039,314,249,
528,644,244,039,478,859,728,578,309,728,123,636,008,353,424,220,881,927,552,
253,421,894,504,047,762,265,965,628,685,544,508,388,760,265,454,974,499,195,
928,666,247,567,531,832,203,522,781,057,168,994,972,055,525,036,641,802,743,
094,310,202,784,271,743,010,263,039,034,524,068,449,262,552,351,596,118,771,
205,438,357,776,680,285,774,154,273,014,562,575,512,607,316,438,080,182,924,
417,317,925,847,655,220,600,542,195,780,689,315,499,549,317,541,123,020,084,
011,905,718,838,487,015,679,427,326,707,366,447,984,472,553,538,150,847,814,
053,777,177,672,209,486,444,137,080,434,123,896,020,816,820,611,883,619,611,
152,082,306,510,817,952,804,622,254,504,511,945,096,239,243,203,874,354,592,
123,590,734,033,756,511,622,793,508,674,394,743,790,455,848,467,307,852,620,
169,767,695,141,737,695,317,865,998,003,405,231,212,918,992,535,294,600,980,
092,974,233,013,247,564,829,108,510,913,241,609,574,360,826,242,456,282,409,
754,671,513,279,417,691,570,413,679,793,926,051,943,247,549,244,991,939,639,
228,359,506,609,219,953,054,866,707,874,334,144,656,214,028,094,841,031,499,
466,141,660,265,858,442,024,611,365,995,798,248,003,289,327,783,361,046,418,
234,699,647,087,335,976,567,683,489,475,134,545,031,700,811,202,184,250,256,
561,117,435,303,381,324,835,392,302,742,782,615,048,312,101,583,736,060,585,
856,652,900,818,850,753,590,084,625,798,889,780,552,449,523,837,143,142,013,
948,740,937,614,863,132,852,947,022,160,870,290,359,527,417,053,081,875,865,
582,254,775,948,351,103,992,806,405,967,890,674,054,508,702,137,404,125,992,
693,202,715,619,757,581,975,738,590,923,516,508,645,279,212,901,343,005,269,
627,189,208,953,804,493,624,595,245,029,574,309,612,439,025,973,708,217,966,
060,767,946,195,572,300,856,653,353,520,001,443,116,693,995,552,120,526,369,
418,937,077,242,999,529,122,102,349,878,951,641,889,380,104,096,356,599,308,
015,594,734,906,999,632,670,658,331,223,915,374,423,645,608,680,064,038,863,
788,855,210,757,568,902,250,032,210,756,880,485,708,641,342,007,651,453,638,
400,786,079,588,760,600,233,437,053,051,055,337,323,864,296,122,597,370,109,
944,246,023,081,716,349,817,247,240,332,645,945,204,878,238,661,933,069,247,
325,588,099,586,434,258,377,496,551,886,138,084,779,706,007,723,894,253,629,
161,261,835,330,301,254,155,968,214,195,967,325,908,662,042,895,570,429,851,
803,512,639,398,449,862,372,783,583,594,849,209,749,412,545,494,486,716,038,
898,405,283,482,415,205,860,968,493,502,146,325,217,269,158,026,748,226,324,
992,522,938,268,752,503,642,904,154,594,591,059,284,353,113,599,677,125,219,
433,185,957,422,935,019,603,428,997,258,907,776,044,379,903,454,430,907,579,
901,708,505,435,943,836,675,866,541,523,581,654,345,171,443,582,691,255,807,
708,641,337,367,934,412,176,076,784,108,867,593,972,828,433,465,146,789,693,
662,768,207,889,562,583,972,067,139,011,867,139,052,446,850,703,238,107,762,
508,080,552,391,326,381,984,527,818,594,917,591,849,391,988,095,317,840,675,
651,798,304,445,885,721,352,909,277,603,619,748,974,472,106,962,158,739,130,
499,247,083,310,805,264,270,913,980,696,172,116,752,024,115,139,673,041,271,
175,915,277,589,702,940,194,061,003,489,454,762,438,326,037,376,925,884,780,
400,415,800,767,416,964,215,815,189,216,304,455,191,234,150,315,397,880,637,
593,683,464,704,983,569,565,577,138,543,667,071,259,747,009,456,759,558,529,
600,601,428,158,205,827,198,154,306,677,857,263,342,946,094,293,714,644,021,
015,437,096,017,649,280,231,397,707,382,312,175,523,857,477,083,307,701,801,
011,931,982,636,874,261,967,877,231,300,053,304,103,111,967,802,690,480,101,
650,453,684,640,680,750,097,906,350,815,143,380,143,983,467,869,388,492,983,
634,764,380,450,022,054,001,353,244,619,268,611,659,212,103,944,369,735,113,
205,094,298,582,971,582,986,687,688,734,382,707,731,666,308,710,852,753,665,
853,353,817,234,487,803,350,036,392,649,229,267,505,067,637,726,538,754,517,
213,321,244,424,012,963,902,938,754,839,375,613,753,687,822,458,998,324,955,
771,054,959,488,272,900,082,783,431,866,390,921,170,710,769,734,502,998,540,
864,189,768,919,322,505,889,272,862,169,235,384,943,424,856,417,961,244,871,
228,508,587,530,914,225,981,861,189,840,027,249,991,399,461,312,770,627,129,
012,342,224,636,427,020,873,651,893,351,911,526,260,543,515,040,391,486,009,
843,489,581,242,046,570,233,018,718,181,915,176,648,680,553,484,863,673,076,
754,456,779,909,685,180,813,803,159,781,155,762,781,789,776,678,353,523,652,
772,905,526,187,117,055,062,357,192,401,776,090,462,960,015,963,638,372,614,
895,701,267,529,618,893,552,310,134,196,063,115,745,557,642,440,796,237,755,
932,989,395,707,526,230,439,871,637,997,418,650,577,332,782,076,891,090,954,
883,766,011,501,145,693,209,815,111,013,809,075,112,012,493,335,468,486,799,
625,407,100,509,929,630,164,515,366,296,026,774,044,574,061,019,303,677,053,
213,026,109,049,868,048,523,618,830,603,049,357,126,338,539,205,375,777,261,
664,233,673,602,656,759,521,559,460,422,353,829,950,286,297,569,236,749,826,
558,435,148,167,494,502,365,633,608,278,865,447,549,706,195,072,462,150,073,
840,530,932,126,734,692,953,488,822,189,989,579,976,836,902,053,687,074,977,
628,571,217,095,128,971,643,558,770,761,356,896,444,888,172,384,769,768,103,
816,723,668,458,278,484,308,190,467,946,929,715,047,891,131,048,338,675,165,
857,837,338,309,719,544,659,875,716,511,859,808,129,177,496,751,361,643,250,
439,996,235,492,064,279,480,426,087,758,361,409,715,265,403,363,379,866,761,
120,477,062,830,574,935,766,202,033,686,068,145,685,114,405,218,108,667,669,
308,370,105,428,484,496,056,941,554,226,081,536,882,033,097,460,598,885,479,
821,754,453,393,768,135,117,762,659,342,758,226,570,227,071,139,683,447,424,
946,907,095,043,124,948,192,919,264,876,706,699,132,983,216,650,084,214,961,
400,284,056,688,075,276,737,402,543,833,062,216,519,848,376,756,250,600,885,
528,691,830,668,597,803,921,178,212,300,594,476,571,955,318,596,078,011,704,
317,646,917,374,064,150,143,255,934,603,317,977,123,156,273,321,737,889,476,
219,885,977,753,223,259,252,757,162,442,191,848,984,051,981,588,227,831,330,
854,953,486,120,374,658,767,153,949,699,887,876,244,734,798,079,383,147,722,
211,622,535,470,516,445,939,971,974,332,614,094,644,588,140,000,750,827,684,
017,359,432,705,157,552,424,593,407,221,408,489,384,363,598,619,023,545,048,
858,636,301,489,548,973,023,155,626,507,265,182,939,085,202,514,851,066,169,
344,701,366,448,054,785,589,734,954,772,231,723,609,297,544,575,555,540,902,
652,340,930,921,464,394,047,293,445,304,436,367,731,482,540,594,112,840,419,
570,855,214,447,996,921,502,498,664,947,775,673,008,058,895,533,778,468,629,
262,266,950,794,111,841,540,992,067,823,145,179,962,842,222,014,400,077,348,
121,820,616,816,744,678,038,153,672,513,626,296,380,329,310,016,162,541,918,
737,939,450,906,152,141,453,469,126,560,806,960,557,471,917,552,836,211,077,
958,716,509,851,863,403,265,159,693,299,746,661,842,119,580,355,874,928,958,
957,738,407,184,756,307,168,127,491,676,264,140,695,164,717,612,860,685,498,
489,685,852,866,372,088,742,400,366,358,677,197,809,355,332,613,144,574,970,
419,041,700,799,377,765,811,580,386,977,503,528,423,776,204,938,674,204,267,
358,093,705,202,475,386,259,546,966,143,975,133,490,715,715,951,884,722,356,
147,604,843,777,465,399,587,842,824,617,662,872,337,126,819,158,357,217,905,
808,705,287,121,834,840,409,534,585,111,781,097,322,830,541,170,071,988,459,
787,845,326,111,305,964,399,823,721,053,387,847,403,831,122,841,464,914,526,
754,523,215,019,316,630,828,746,041,237,731,461,592,253,997,291,733,445,027,
679,975,675,472,428,025,167,159,485,769,226,150,020,559,910,230,067,646,478,
865,787,877,744,370,816,064,488,687,043,842,203,545,562,316,409,797,068,180,
737,293,534,131,460,501,289,350,926,358,750,292,309,001,098,364,712,024,673,
457,278,411,892,881,143,427,767,694,815,992,569,663,379,980,982,170,506,658,
263,996,162,360,301,555,886,159,988,232,151,138,969,310,311,122,921,522,235,
749,153,304,532,500,516,396,757,266,507,406,176,885,767,724,416,614,206,322,
916,645,092,439,705,180,789,584,334,250,866,120,320,872,815,244,342,984,898,
725,774,668,011,699,546,181,770,254,730,036,692,361,757,795,510,796,693,156,
581,744,642,794,242,232,862,723,116,145,282,772,220,738,316,790,013,897,647,
233,216,652,750,411,188,309,900,931,755,010,101,194,996,123,546,514,743,172,
454,889,475,524,833,408,277,341,272,622,954,204,446,039,648,423,418,136,770,
886,710,684,260,930,835,356,464,645,139,476,161,069,733,965,481,238,382,218,
683,176,573,243,459,616,802,975,556,130,745,532,035,447,820,430,810,993,764,
844,088,618,222,284,308,337,002,329,311,360,774,773,284,712,347,320,909,688,
470,269,828,133,235,293,236,621,705,562,089,238,141,587,952,590,677,710,358,
015,472,568,328,126,974,850,419,883,500,406,416,619,101,680,381,023,888,320,
905,234,554,899,990,748,941,059,557,516,194,228,484,675,255,488,357,224,039,
237,711,904,077,306,657,347,805,039,684,228,880,806,993,173,943,687,712,870,
794,713,844,149,087,739,328,083,016,458,327,755,663,894,974,998,928,772,006,
683,775,564,947,548,807,762,022,505,621,682,547,646,714,005,519,931,142,597,
870,968,645,229,280,368,074,292,359,326,767,941,432,527,074,510,513,579,821,
716,755,053,392,063,854,341,439,665,016,366,668,579,774,945,631,409,493,999,
997,362,636,805,745,185,167,822,580,864,672,588,354,630,871,762,579,903,542,
779,162,100,200,458,859,652,602,815,667,236,666,283,360,581,879,410,098,520,
372,389,580,728,912,446,722,444,561,213,218,327,456,200,951,273,104,972,724,
880,783,345,338,730,435,136,175,642,207,309,999,251,417,453,731,823,643,061,
839,008,806,616,113,390,958,978,652,061,223,312,480,568,948,483,987,577,155,
339,043,769,831,403,194,630,480,873,215,605,484,040,596,807,806,709,857,016,
786,621,681,396,098,940,971,956,338,440,920,747,576,691,962,645,012,245,028,
778,942,026,065,557,551,007,880,917,315,976,577,928,576,089,405,611,980,887,
959,172,548,105,525,390,963,062,464,230,301,813,458,529,291,733,555,521,156,
410,545,927,622,928,313,329,516,150,161,767,417,157,305,639,283,745,310,895,
711,307,477,554,027,330,634,492,107,819,311,233,264,366,802,286,274,804,552,
265,849,536,738,434,884,314,747,805,613,136,183,853,067,728,669,582,685,272,
959,338,612,468,658,306,703,753,081,324,135,334,950,437,725,064,137,387,962,
190,048,404,707,759,429,362,432,997,194,163,968,541,337,550,324,598,708,446,
317,153,448,122,158,459,333,283,406,934,843,124,372,114,404,406,520,737,692,
959,936,728,627,016,190,168,547,421,619,586,516,709,816,678,933,769,915,032,
039,797,041,944,957,480,646,270,880,677,494,494,455,059,865,710,948,363,008,
187,093,502,770,612,537,298,796,490,019,346,682,145,854,427,244,595,856,052,
639,773,089,709,249,874,821,382,078,862,431,350,316,375,289,151,951,354,354,
120,760,733,351,877,490,856,532,161,346,457,635,514,545,007,430,794,028,687,
031,077,022,374,811,981,969,521,905,165,356,680,922,358,454,977,559,823,319,
390,266,225,843,050,579,192,502,101,545,467,858,757,213,965,448,449,268,271,
344,286,574,065,267,517,330,657,829,292,876,166,849,704,520,103,185,658,447,
934,554,263,605,488,167,966,084,336,266,713,954,193,525,776,696,150,185,422,
055,459,615,917,780,939,452,000,314,577,180,873,191,609,864,586,045,618,668,
676,724,729,915,820,250,212,824,286,357,763,742,736,760,871,489,473,644,109,
884,163,173,735,715,678,006,663,022,844,749,716,655,043,782,664,274,935,382,
793,996,398,492,076,383,703,196,400,580,068,756,218,434,190,128,145,237,086,
756,975,091,294,390,125,615,297,656,666,617,542,749,279,688,455,011,703,294,
118,078,990,690,082,897,928,380,020,560,944,856,099,701,396,004,008,809,514,
729,303,716,723,814,579,573,657,277,509,114,958,463,093,183,087,473,453,713,
077,750,373,687,635,032,007,457,457,971,885,988,613,002,281,138,450,522,201,
867,813,490,057,136,447,084,172,713,806,500,272,848,385,969,043,777,894,212,
272,441,498,759,624,845,767,900,507,122,180,428,741,506,631,195,248,754,840,
135,676,883,241,230,665,144,244,179,966,867,286,191,166,427,384,020,155,896,
603,832,610,106,641,413,167,258,876,196,165,735,509,802,602,394,795,030,215,
354,223,099,669,669,364,457,482,139,638,293,554,354,037,411,779,756,972,958,
038,081,651,430,983,929,317,779,494,879,962,632,108,104,170,590,481,758,998,
360,308,363,508,928,490,354,586,772,890,774,590,748,840,934,879,891,232,864,
236,794,098,873,769,179,009,999,838,920,421,203,684,741,575,635,735,154,756,
633,458,424,909,268,401,336,172,107,862,516,056,924,398,677,792,282,350,993,
849,361,826,221,676,028,821,599,284,802,131,716,248,845,787,738,491,239,354,
836,198,130,647,566,160,869,970,316,193,432,683,313,376,947,907,405,143,698,
264,051,995,272,602,623,236,868,996,613,158,516,435,719,173,435,673,769,460,
901,800,925,301,989,443,015,397,404,460,297,762,838,363,862,646,198,979,996,
207,156,546,000,355,845,861,758,150,807,374,496,654,375,604,505,856,574,128,
205,021,963,458,179,796,309,888,498,732,274,714,381,122,767,037,328,663,852,
632,064,144,033,215,696,793,504,736,877,025,973,342,870,304,603,406,733,609,
605,431,431,979,322,621,717,598,546,963,853,580,032,850,665,861,985,629,301,
676,201,446,010,722,828,249,041,292,195,713,697,806,465,652,701,990,944,495,
490,999,158,356,254,544,325,236,643,939,574,414,446,378,449,521,567,785,568,
612,959,813,170,118,753,465,315,480,872,639,020,860,038,556,906,001,757,368,
539,341,191,468,876,217,058,858,622,056,752,248,637,082,693,113,159,040,211,
465,776,965,165,053,316,735,274,375,568,354,365,051,406,337,666,989,608,262,
326,114,378,118,120,648,042,706,507,583,812,806,567,477,536,101,675,217,206,
969,558,783,056,909,132,299,667,137,285,933,001,059,069,812,723,735,566,884,
316,945,817,735,886,203,706,965,490,117,795,964,791,675,149,773,596,453,245,
665,185,003,577,161,404,899,570,744,564,051,826,639,776,664,901,554,931,250,
581,837,336,162,302,514,468,684,849,489,901,280,719,909,024,378,407,019,205,
650,786,285,516,647,918,677,286,083,919,965,455,618,685,379,892,117,706,383,
229,291,288,671,749,167,530,758,134,369,719,325,068,134,721,791,902,175,961,
864,947,220,404,943,807,682,499,670,448,432,322,425,353,902,372,944,880,389,
683,969,426,360,492,586,817,940,269,598,931,455,500,890,286,206,416,277,666,
183,562,049,317,385,378,086,543,751,132,752,678,389,666,598,849,421,353,459,
246,720,637,280,076,241,580,331,266,988,014,743,428,337,043,989,099,329,293,
659,462,826,268,387,629,095,611,731,638,300,458,470,550,795,074,264,661,707,
110,233,324,325,928,303,499,527,024,331,358,610,170,389,927,201,834,873,082,
896,690,384,406,801,891,152,505,202,038,433,026,328,033,171,748,355,217,585,
703,016,388,985,994,627,302,182,309,297,608,851,802,908,726,925,614,640,115,
376,542,326,559,046,823,497,797,488,470,905,615,908,350,660,747,658,057,430,
831,717,448,557,647,327,907,437,371,734,998,113,702,519,924,319,998,416,264,
954,058,144,446,227,646,761,404,091,017,337,776,339,993,060,922,201,648,811,
804,866,558,282,258,071,652,703,623,989,008,547,098,963,659,758,085,605,389,
086,305,633,648,613,355,390,919,090,798,377,690,073,745,520,081,536,611,677,
150,260,778,940,796,144,697,067,611,597,050,526,515,621,300,711,091,197,503,
302,195,967,260,610,218,992,812,576,910,529,034,033,174,164,552,916,679,804,
821,144,319,847,236,014,350,727,924,343,255,062,434,617,072,570,040,957,926,
595,153,852,725,761,983,796,688,225,126,333,577,738,608,508,468,712,587,960,
094,788,101,037,326,653,807,370,936,127,013,588,030,574,344,604,057,553,688,
028,044,734,686,740,224,994,699,358,467,661,470,988,165,670,361,898,741,300,
744,018,262,173,950,807,842,675,076,057,036,248,273,338,697,546,154,713,394,
999,937,119,750,928,529,329,356,196,385,135,524,020,980,859,104,372,533,690,
334,858,622,092,157,364,855,790,434,008,979,718,085,197,345,519,111,940,964,
980,015,603,348,499,615,415,781,836,693,862,852,288,944,396,455,810,134,909,
723,731,377,003,054,081,562,462,256,092,802,577,814,551,902,603,599,900,625,
659,041,543,059,436,412,777,512,152,390,930,131,347,260,676,134,570,400,654,
549,832,398,883,271,425,037,438,758,306,239,553,406,863,958,909,942,966,926,
305,997,546,410,988,501,653,416,820,388,122,627,667,336,643,452,313,307,338,
051,467,629,563,776,518,436,667,620,211,953,115,665,456,595,363,863,734,210,
365,870,279,214,587,407,732,120,991,347,081,003,346,083,511,317,973,967,431,
777,732,439,504,348,964,993,842,798,510,630,950,958,416,932,767,143,605,496,
057,963,298,562,220,860,872,439,809,692,959,747,961,683,023,778,853,334,364,
428,411,885,241,591,324,256,361,724,408,593,727,170,590,957,553,641,429,674,
119,647,299,163,744,127,727,742,739,092,224,094,721,541,317,689,806,174,585,
097,346,878,864,971,187,684,642,978,223,199,342,948,322,638,982,509,227,384,
742,843,710,561,717,783,812,503,349,263,833,705,643,879,852,979,339,169,349,
744,131,088,828,767,522,775,278,452,180,880,813,257,019,579,271,133,810,649,
041,959,123,288,996,523,789,516,986,035,608,201,044,863,032,778,699,005,529,
083,435,519,368,404,966,958,996,598,491,211,728,458,233,570,099,555,375,229,
553,395,958,765,955,334,992,824,319,609,381,025,502,750,337,827,752,689,158,
057,625,312,841,320,434,041,074,944,578,792,588,713,249,339,915,209,791,733,
951,644,774,466,789,684,261,879,410,268,288,372,162,354,154,012,410,656,161,
947,193,099,200,978,079,607,619,686,891,165,947,665,473,308,416,018,601,096,
715,734,634,469,222,257,445,313,599,349,733,326,414,432,701,224,080,927,012,
486,869,675,048,929,759,221,143,937,050,120,750,023,298,472,492,379,264,078,
826,939,060,956,630,729,876,715,351,554,215,059,732,157,771,656,261,104,041,
787,526,434,148,781,994,808,824,286,726,160,995,677,141,250,820,490,973,839,
922,587,318,829,391,882,863,248,763,618,486,350,336,584,103,521,521,932,736,
044,790,498,591,066,104,453,891,352,828,753,951,581,738,051,571,393,812,753,
789,064,388,655,059,558,788,343,381,507,390,259,006,123,938,446,578,739,906,
500,028,856,744,130,138,592,511,719,294,801,907,792,537,933,562,220,831,472,
890,970,390,498,907,265,072,537,636,913,644,573,930,926,070,942,730,255,591,
162,863,752,123,813,754,537,287,474,172,613,455,096,439,088,332,629,914,541,
320,454,645,445,226,789,877,458,621,577,293,077,689,710,051,857,430,312,948,
984,634,739,563,797,944,297,299,423,827,435,428,648,370,484,480,588,661,891,
871,650,489,415,126,081,021,734,328,245,463,358,424,345,125,639,728,239,337,
592,756,250,659,331,111,995,396,584,344,715,091,399,791,838,386,063,146,079,
788,479,874,422,797,619,023,655,807,008,120,905,933,464,334,487,134,453,032,
126,764,263,259,807,296,999,444,911,852,145,096,712,232,623,156,107,169,894,
690,900,503,149,630,877,686,296,677,261,744,225,889,589,087,512,574,588,736,
538,584,165,989,068,070,270,405,820,566,972,956,519,680,103,052,326,261,838,
746,315,968,588,527,009,295,235,640,292,587,737,702,415,382,183,035,375,524,
752,222,570,029,582,432,178,604,386,270,061,635,634,779,633,269,535,988,768,
332,916,236,814,487,296,946,301,878,011,515,552,661,043,494,081,894,574,673,
119,289,050,729,940,603,788,576,024,152,884,004,711,420,436,680,416,786,594,
742,509,832,978,746,686,538,435,718,988,908,696,907,959,767,547,438,610,919,
531,486,849,373,701,185,548,696,923,198,939,127,288,749,712,702,921,694,085,
373,997,455,763,903,255,922,830,915,984,625,356,472,464,618,036,658,453,309,
627,033,253,717,872,286,528,005,423,319,243,846,808,628,512,629,248,075,722,
411,758,536,975,903,336,733,790,385,047,099,921,442,064,866,062,509,831,259,
042,259,286,498,700,338,997,197,325,691,614,340,583,434,787,959,940,426,322,
121,568,956,839,357,824,329,715,624,327,718,034,625,116,002,630,993,921,720,
605,925,460,548,561,629,313,914,717,996,200,412,152,299,540,772,399,309,119,
398,483,889,436,624,542,195,748,015,285,401,229,773,127,549,922,939,847,266,
389,689,878,547,747,099,385,652,098,127,280,366,726,595,262,999,288,702,677,
812,394,111,513,200,378,142,015,479,598,815,213,981,869,462,467,385,459,842,
015,224,342,989,972,677,299,857,185,981,344,071,167,850,731,296,606,955,476,
084,375,578,709,155,191,285,974,985,751,071,257,380,719,851,404,775,814,238,
126,443,918,078,391,591,277,179,357,404,287,872,364,147,702,197,854,461,410,
677,082,995,056,469,384,869,771,290,953,394,923,567,958,730,126,064,928,604,
640,719,770,479,172,037,452,758,480,719,904,844,799,899,977,458,707,310,499,
821,878,753,917,913,410,223,986,847,833,479,461,993,395,307,405,425,106,031,
476,425,248,402,971,504,420,652,723,955,229,493,897,936,967,121,597,521,975,
495,229,393,155,394,762,233,212,778,066,363,650,381,552,926,134,815,167,973,
526,819,193,957,550,951,378,759,971,643,351,884,388,802,726,155,934,640,902,
518,208,478,715,422,648,667,081,137,845,816,767,051,612,825,535,652,136,807,
121,372,812,027,959,482,729,204,881,977,241,718,142,470,411,955,345,768,389,
187,966,122,892,166,956,378,042,167,323,751,483,656,212,671,397,131,520,396,
256,460,928,524,387,237,328,636,878,926,179,460,564,150,993,536,779,678,751,
749,417,409,121,808,167,233,112,237,915,090,829,681,479,103,916,654,541,023,
555,786,609,242,557,731,910,650,000,577,020,661,309,066,725,410,882,967,499,
447,589,378,303,965,703,343,790,317,053,637,123,584,060,286,122,148,860,468,
440,189,600,439,921,713,712,861,720,177,811,211,946,434,394,763,871,317,097,
462,501,405,399,848,265,004,474,858,080,068,140,053,058,948,802,792,030,198,
465,927,678,951,744,662,722,834,649,750,360,686,490,671,095,014,808,099,210,
300,188,080,024,457,520,506,117,106,622,215,285,075,099,897,258,636,060,208,
542,544,218,648,077,473,956,030,313,076,861,525,079,117,375,556,008,610,492,
231,459,084,825,615,855,165,925,873,511,963,814,604,423,160,769,374,536,740,
506,707,717,061,260,441,989,454,909,425,717,266,779,281,098,238,907,025,330,
097,848,890,949,948,280,673,070,860,691,335,876,808,799,077,300,059,085,416,
438,925,876,431,842,521,569,334,023,047,955,639,658,742,933,701,435,229,002,
400,964,172,428,593,521,504,703,469,046,401,412,766,816,256,628,715,479,051,
476,312,986,419,201,420,745,885,050,840,311,863,479,537,751,439,498,257,397,
937,738,847,555,740,798,487,268,952,623,930,097,404,965,097,844,988,428,850,
687,162,739,182,768,209,613,721,025,681,969,858,557,228,019,427,217,768,929,
608,665,959,886,574,690,951,615,399,631,192,291,769,365,000,874,089,165,509,
970,089,177,872,282,922,582,838,304,845,912,220,586,275,696,877,687,366,887,
606,162,956,573,369,949,047,458,059,135,119,121,711,844,646,484,551,492,471,
465,669,882,933,927,061,077,246,749,149,016,667,004,598,644,172,029,011,546,
694,388,178,012,657,217,262,618,080,279,671,761,350,271,998,688,331,403,546,
648,654,716,733,335,543,565,883,686,770,588,931,133,314,728,600,484,199,261,
638,316,739,040,017,691,422,922,172,920,601,959,949,806,697,544,223,897,173,
498,596,552,057,620,445,120,420,214,348,184,333,097,731,007,711,639,436,314,
869,342,380,036,047,434,518,929,560,560,461,910,216,981,234,336,965,117,734,
089,443,917,830,415,337,439,840,598,381,331,442,609,848,184,466,388,281,722,
160,736,047,876,368,818,725,610,098,317,872,104,583,549,483,837,192,144,628,
712,898,041,512,854,574,279,731,231,896,544,706,080,885,381,190,869,765,071,
979,677,985,667,659,976,402,896,412,516,118,672,717,959,803,031,536,475,716,
923,340,438,354,360,356,347,763,324,999,003,814,091,588,557,753,184,933,887,
858,286,315,779,028,694,912,157,691,071,381,220,910,787,859,050,597,766,671,
508,859,642,919,412,429,288,798,283,658,389,814,126,768,969,529,643,286,368,
399,578,288,589,042,645,016,738,878,983,823,367,166,840,460,790,116,218,991,
080,072,956,938,779,731,981,150,987,850,392,107,313,872,227,857,218,669,402,
221,462,459,110,038,352,468,896,386,362,125,706,703,835,288,465,518,039,507,
755,469,187,620,022,180,737,950,184,996,523,570,236,157,751,587,561,894,735,
104,102,083,766,904,967,057,084,638,418,081,856,822,263,398,390,012,749,763,
703,153,184,983,050,778,443,450,328,731,799,506,707,983,888,908,290,320,641,
484,321,007,600,164,260,339,031,568,824,059,964,894,129,709,601,820,942,108,
543,413,343,462,462,338,318,545,305,941,437,203,044,763,990,877,006,854,676,
527,695,018,694,787,123,412,908,617,438,020,467,533,098,701,091,461,043,563,
488,245,638,972,853,675,173,773,008,454,651,374,394,844,261,170,840,813,693,
064,741,756,537,633,903,589,204,815,325,267,790,178,660,559,909,124,901,661,
666,813,936,445,550,242,948,186,501,718,858,615,252,584,503,082,806,569,517,
735,727,747,336,212,053,118,090,007,318,229,829,663,739,478,572,282,222,060,
749,106,282,223,063,214,931,977,642,112,233,339,047,053,514,676,936,524,855,
846,700,288,567,059,550,381,335,076,009,325,152,932,245,004,754,752,307,104,
215,531,174,372,888,172,035,034,369,311,622,781,288,865,137,146,334,736,653,
334,464,253,280,358,490,558,524,365,907,629,032,422,421,469,613,987,953,615,
231,870,472,727,511,714,245,548,244,972,993,713,546,534,666,207,610,290,857,
789,418,833,747,652,895,802,597,887,291,364,253,259,702,649,489,843,956,988,
818,129,491,838,290,914,199,187,747,587,789,361,940,524,179,054,034,241,793,
429,049,637,078,963,650,685,177,549,732,408,526,438,887,316,169,297,302,632,
692,946,383,234,524,862,360,441,919,710,256,443,423,208,852,980,593,622,843,
249,592,372,719,382,346,925,876,302,371,104,500,625,142,452,265,556,503,158,
891,715,146,406,100,173,038,577,645,208,964,604,791,465,002,911,524,952,670,
814,437,704,985,890,677,679,862,465,109,292,399,062,054,742,643,577,917,081,
506,259,632,993,924,495,289,464,325,495,131,366,136,572,111,016,619,212,175,
319,101,916,857,366,470,934,348,696,734,642,628,405,105,474,171,595,624,005,
620,672,899,630,188,272,018,324,094,468,696,558,322,055,907,125,976,858,598,
712,180,392,166,358,298,127,693,685,145,138,574,279,280,415,546,487,416,054,
788,651,736,670,987,835,558,828,703,358,518,315,857,842,685,803,969,196,229,
878,824,056,963,497,346,105,834,745,853,982,236,572,206,606,798,869,546,008,
558,294,023,094,775,006,165,581,553,643,292,415,920,219,628,596,245,897,850,
040,023,723,564,260,728,691,366,081,390,561,856,807,123,221,040,187,542,470,
726,243,428,838,895,381,251,919,685,306,915,658,074,174,276,327,754,967,255,
091,527,810,742,491,814,407,473,483,269,189,197,533,759,254,940,704,391,194,
060,463,594,925,685,942,139,250,627,559,408,161,731,595,942,755,500,197,996,
797,303,901,235,761,804,482,168,944,135,376,023,564,551,070,399,636,161,187,
683,850,133,561,041,118,887,138,403,122,920,683,070,026,646,443,251,012,393,
750,584,863,317,619,829,648,408,840,796,966,762,033,003,592,884,072,253,619,
872,318,692,584,779,963,729,653,604,678,178,793,044,720,969,170,714,260,469,
085,523,485,501,726,224,600,417,416,730,174,081,389,114,897,689,304,668,809,
173,074,449,544,631,515,982,018,995,239,015,581,791,939,343,302,433,445,075,
331,106,246,883,808,639,068,133,872,953,858,959,390,421,557,497,283,992,245,
519,810,672,418,164,643,676,547,203,862,462,522,130,142,621,003,626,531,166,
335,446,587,731,109,232,302,139,335,491,504,423,800,775,946,180,577,746,605,
978,882,141,760,093,073,099,111,191,710,552,026,465,239,201,242,893,125,165,
337,630,850,901,932,825,768,531,632,920,895,134,246,344,697,226,509,626,749,
836,270,137,157,419,254,730,571,953,847,313,765,344,567,185,221,279,496,223,
288,223,765,757,419,540,028,183,049,447,726,236,228,123,464,554,905,435,307,
749,200,064,829,374,417,279,260,464,873,951,761,323,215,797,233,689,822,791,
861,648,001,561,695,918,287,562,403,556,530,282,633,617,793,203,237,452,461,
174,459,799,488,288,808,503,105,877,270,144,262,985,055,362,097,690,813,849,
867,670,432,906,134,885,418,835,182,992,735,890,748,207,267,993,937,383,782,
962,845,305,618,191,935,857,022,444,212,793,562,097,662,892,314,908,798,689,
996,836,049,169,263,174,765,241,487,792,531,530,749,193,071,432,002,800,364,
418,240,875,500,152,452,103,636,288,905,516,488,634,564,629,398,901,616,245,
393,075,281,935,549,643,760,371,698,902,092,427,670,697,788,997,459,572,931,
602,284,824,232,523,462,938,675,057,224,325,610,288,379,771,741,757,208,564,
958,620,023,576,114,999,669,345,343,634,292,049,707,239,176,639,353,686,094,
779,657,028,646,269,397,517,027,123,659,992,354,184,360,274,830,855,425,653,
567,038,634,167,117,226,157,764,931,977,255,077,656,805,942,442,376,213,422,
480,203,617,675,271,201,650,231,656,257,710,676,604,598,567,783,497,597,201,
446,745,161,284,435,030,825,209,576,714,421,348,867,855,696,550,588,341,758,
166,655,168,501,509,415,448,689,141,235,228,207,085,880,815,078,838,835,768,
831,077,961,575,748,763,059,124,599,003,676,924,694,737,157,797,460,307,193,
346,276,626,032,718,595,953,773,314,871,349,357,205,943,258,254,492,002,623,
448,299,799,281,804,947,464,414,461,391,582,141,171,889,175,937,948,406,104,
645,745,007,913,973,288,981,465,800,778,085,999,180,620,574,392,600,229,108,
031,696,971,312,681,547,964,611,253,091,104,812,397,467,812,291,033,715,977,
821,454,751,595,628,796,353,410,149,856,966,719,523,426,528,218,931,926,265,
882,606,285,077,027,119,874,795,585,235,045,704,049,886,792,806,079,005,121,
093,473,504,270,228,721,442,180,322,469,306,743,452,974,042,899,961,342,608,
669,057,526,918,994,734,959,348,685,973,579,413,907,268,810,085,400,642,176,
470,378,173,954,910,379,010,781,924,784,383,799,614,070,159,259,960,639,114,
310,031,733,031,609,812,821,001,161,857,393,392,985,029,899,578,084,789,054,
673,696,255,630,007,183,139,874,908,196,634,745,416,657,812,651,259,804,101,
259,543,927,026,171,839,051,698,171,638,898,473,739,900,158,554,257,822,715,
633,087,368,044,043,229,962,235,569,567,448,146,073,662,626,409,577,765,952,
123,204,120,967,922,123,803,014,329,496,918,184,618,367,845,626,838,327,333,
557,541,371,466,460,375,687,440,908,022,673,571,262,927,427,458,511,283,464,
714,450,467,006,599,978,702,361,523,167,122,852,534,137,359,324,089,352,949,
380,349,364,641,428,005,307,125,864,586,854,375,924,399,139,668,328,512,028,
246,001,409,637,252,389,316,834,918,985,334,400,400,945,096,383,859,503,984,
917,370,547,882,045,471,419,751,096,652,591,446,682,368,894,262,644,448,328,
780,588,199,868,137,906,199,979,829,491,992,842,468,902,392,296,823,743,147,
151,326,684,096,496,121,343,636,647,909,623,677,891,537,616,757,864,117,995,
711,365,474,406,196,967,545,532,010,967,829,512,287,998,249,091,163,044,672,
507,454,215,604,886,758,738,658,173,055,251,399,347,168,404,048,756,822,869,
820,431,001,038,492,194,614,082,193,508,192,211,695,422,658,840,653,072,526,
046,073,348,106,778,674,451,106,758,989,893,357,148,279,172,369,799,873,404,
362,512,056,620,885,857,220,937,202,294,541,158,569,804,617,808,600,743,148,
724,695,351,756,790,759,302,188,940,259,879,956,245,943,899,421,818,440,323,
775,818,420,878,447,934,948,039,048,998,807,603,163,196,907,773,548,184,853,
853,338,072,734,411,517,183,051,091,592,940,651,980,685,313,893,254,772,626,
658,782,868,213,337,961,743,590,346,317,666,604,600,491,460,859,160,432,953,
737,835,128,900,718,603,789,944,216,900,748,324,621,212,582,572,027,689,371,
996,776,602,360,943,941,418,150,268,405,656,618,530,809,819,888,116,350,558,
811,331,450,943,195,633,279,060,165,627,077,603,825,818,476,143,371,307,570,
064,467,716,330,316,656,276,761,255,844,358,875,915,240,032,352,183,713,335,
482,747,097,319,528,254,327,375,508,291,865,167,844,926,936,904,356,496,872,
029,160,463,312,810,276,412,536,478,341,855,956,740,004,442,776,290,054,533,
209,602,123,370,453,449,003,523,089,894,390,817,705,828,231,794,449,101,234,
530,447,274,845,087,117,236,999,078,742,082,770,427,739,228,335,566,732,276,
955,999,210,994,224,036,950,529,208,403,950,000,815,252,541,214,019,757,764,
147,746,621,026,079,640,548,165,147,735,439,423,868,995,288,833,035,531,840,
075,375,522,993,983,963,279,176,792,793,534,677,449,728,980,413,782,333,663,
196,180,536,238,671,000,328,874,467,014,484,541,001,410,525,364,115,183,489,
359,807,293,853,992,723,293,720,147,894,345,332,394,814,982,842,917,310,638,
953,281,130,347,330,802,511,430,372,343,235,299,700,488,285,794,140,463,839,
935,206,186,402,688,618,849,839,190,919,475,126,253,929,794,102,955,858,107,
992,326,667,609,440,766,416,715,066,810,267,727,302,326,008,244,628,523,030,
242,767,444,713,289,579,893,067,862,864,801,169,600,053,931,237,542,377,196,
849,847,754,333,272,102,576,640,715,570,744,597,405,388,499,553,966,262,890,
751,512,174,156,736,318,769,131,817,717,195,501,000,646,903,895,916,698,789,
404,355,910,760,160,893,663,027,359,876,969,667,180,104,774,048,073,177,506,
964,720,100,809,216,616,404,728,167,219,375,348,470,619,196,047,223,929,881,
846,082,737,565,487,862,183,508,988,489,985,274,813,921,201,978,557,174,990,
827,826,846,820,896,581,059,300,552,787,204,003,013,643,600,759,028,385,128,
172,612,246,662,251,759,882,227,522,984,806,287,751,868,505,545,091,323,879,
167,828,060,160,215,857,253,464,495,351,724,331,404,605,805,238,929,237,170,
298,096,918,601,578,670,137,836,764,739,901,748,941,821,764,904,607,385,849,
354,027,171,164,684,521,189,058,314,192,881,700,678,608,926,348,436,075,401,
566,271,563,828,969,119,833,793,750,417,469,919,911,704,729,810,663,035,448,
037,878,405,106,433,762,630,299,942,021,389,281,508,858,657,460,521,507,732,
767,474,256,470,618,394,454,576,478,467,636,323,756,506,743,259,485,237,278,
033,530,258,284,377,307,814,163,151,619,528,085,917,279,761,822,455,306,710,
389,950,602,830,685,516,672,924,128,208,917,788,430,644,463,818,711,080,835,
104,004,433,810,596,926,724,576,904,358,947,461,537,374,488,125,271,346,570,
152,802,707,944,576,351,474,444,871,968,343,885,425,935,001,373,996,865,333,
225,565,495,992,607,198,876,682,291,235,758,227,899,662,165,070,455,577,707,
170,296,163,335,623,431,600,415,628,286,698,605,188,592,371,206,770,261,728,
788,001,130,385,498,517,915,980,087,169,471,983,743,065,320,057,654,383,503,
656,374,047,196,739,173,763,057,746,410,038,433,401,258,550,135,149,280,976,
658,788,006,834,550,382,110,632,703,586,265,329,980,287,121,482,424,593,905,
535,198,449,111,571,467,967,665,301,981,671,824,331,875,461,213,790,056,968,
058,153,399,531,669,717,643,008,301,141,352,336,813,509,016,047,918,107,681,
613,061,788,945,999,951,254,762,146,095,807,910,331,030,586,922,182,995,404,
496,837,895,228,690,290,174,429,341,048,092,835,088,908,226,505,277,162,750,
283,050,119,861,996,507,520,047,009,582,590,639,498,848,036,550,873,411,241,
964,314,863,614,315,272,320,628,689,238,294,825,906,547,577,765,237,345,586,
861,817,004,405,761,020,463,367,628,264,304,211,018,899,271,470,755,946,259,
945,721,566,441,893,325,020,755,266,271,585,342,615,301,076,643,571,288,599,
879,540,183,551,068,719,116,039,294,830,290,766,816,211,098,442,010,056,382,
404,206,391,657,326,681,809,845,373,392,369,971,316,399,828,303,451,398,334,
721,079,669,537,233,160,875,871,224,631,098,194,791,082,787,877,473,435,317,
311,145,655,087,322,183,734,956,409,025,352,362,750,584,629,768,519,462,373,
578,725,431,360,467,534,580,670,275,530,896,883,561,467,011,047,582,521,829,
607,484,003,095,783,037,641,175,985,265,426,189,739,878,814,409,662,821,663,
553,355,844,964,627,290,073,195,784,958,245,893,980,026,191,535,228,459,726,
485,376,000,195,133,284,249,241,805,871,216,555,009,212,673,958,842,092,699,
086,626,755,366,739,087,191,928,609,011,598,960,363,911,999,039,860,693,618,
276,622,443,001,193,637,902,932,520,645,181,565,866,717,744,263,304,876,148,
361,217,206,021,441,647,021,968,440,766,500,340,673,393,253,062,504,214,817,
723,376,907,837,340,570,166,542,047,832,694,481,465,751,742,951,954,646,160,
173,424,873,093,791,148,834,058,161,847,859,781,251,160,377,823,921,043,817,
726,336,295,764,817,291,141,785,598,737,959,850,987,144,869,293,808,790,344,
019,621,433,333,057,743,917,661,263,208,197,878,803,573,170,583,398,747,285,
739,301,832,085,997,793,752,669,814,756,366,009,909,604,650,464,610,687,599,
600,592,781,379,330,019,543,309,626,240,601,003,973,286,099,437,410,686,970,
791,664,980,516,500,867,184,996,509,064,415,595,750,313,207,613,343,645,022,
077,200,089,453,861,837,192,043,274,872,721,242,701,269,367,725,846,123,323,
355,707,251,068,898,600,608,647,499,625,373,295,041,028,437,297,322,288,616,
304,923,156,842,689,056,668,826,888,598,698,030,507,655,379,530,700,530,985,
072,894,380,627,309,300,708,242,725,254,965,128,607,031,848,815,392,830,325,
439,789,941,333,331,362,559,776,143,484,330,400,786,131,428,500,996,451,805,
283,903,917,923,041,079,958,908,232,092,108,599,401,616,577,287,624,525,273,
452,502,003,964,296,644,543,561,327,724,812,814,056,614,699,762,355,254,487,
416,306,256,713,823,717,450,677,457,905,620,210,550,903,637,272,240,474,645,
412,390,103,098,476,462,451,124,922,520,595,311,895,122,587,225,593,523,613,
693,415,530,027,560,341,794,804,749,725,274,202,172,274,953,807,485,636,587,
244,625,975,604,628,111,583,407,427,559,327,538,283,716,782,346,106,467,309,
036,321,740,819,593,339,851,954,717,934,319,114,700,427,003,871,434,112,834,
221,565,943,674,370,106,582,432,740,367,779,638,989,262,268,040,778,232,441,
070,593,468,539,617,543,632,515,779,467,979,875,962,312,417,599,851,761,128,
123,715,804,845,861,519,229,006,628,286,548,255,985,515,693,792,764,302,513,
112,275,710,372,736,314,746,795,192,369,100,926,517,429,215,170,837,212,791,
312,065,209,907,987,487,125,441,985,766,237,536,623,268,316,309,475,523,586,
780,208,976,465,355,152,270,789,745,263,782,523,139,059,925,964,378,576,522,
992,021,000,645,962,189,843,926,305,414,994,750,953,074,147,422,870,955,870,
677,537,556,887,714,829,631,292,705,894,647,208,287,545,439,795,883,307,461,
833,712,474,695,058,003,711,580,191,369,219,570,162,734,879,715,250,436,820,
201,400,978,735,258,323,189,398,570,211,803,093,453,497,073,084,694,203,865,
355,762,789,014,499,974,775,547,950,486,046,904,662,363,299,909,167,856,216,
895,802,929,748,094,990,376,081,285,850,949,160,079,680,490,322,706,595,640,
568,781,435,818,663,214,167,778,757,960,282,655,073,501,064,728,047,842,685,
690,912,849,108,438,851,014,381,119,276,174,950,712,859,126,128,903,699,107,
116,115,187,098,536,420,738,788,004,616,331,661,471,693,963,623,557,681,973,
658,786,662,402,906,869,527,207,838,650,921,861,788,363,210,020,252,578,087,
116,204,633,140,040,117,797,261,698,882,524,995,430,142,516,077,330,815,787,
203,182,889,072,348,331,473,862,806,188,031,288,006,189,088,327,754,499,180,
792,676,634,538,260,296,863,186,743,051,604,991,104,095,171,973,484,348,984,
897,095,236,841,552,535,889,172,730,690,627,582,819,683,658,714,481,302,729,
020,238,751,770,187,834,418,819,929,421,160,564,427,976,125,025,132,327,635,
242,919,797,674,379,262,993,786,679,939,514,842,022,690,838,370,539,821,928,
452,431,681,164,877,309,724,540,647,349,341,520,526,454,671,803,275,160,695,
986,351,620,557,215,659,084,099,773,510,232,012,478,304,806,249,508,689,260,
164,816,231,220,148,884,389,623,583,796,298,254,796,695,589,503,802,174,659,
325,448,558,828,204,642,222,759,987,614,525,820,962,885,177,657,505,074,749,
425,421,916,606,963,496,351,502,816,293,616,489,473,647,581,345,667,592,683,
690,939,176,999,843,134,909,269,243,650,789,973,671,745,665,877,115,825,400,
693,541,150,438,151,553,491,124,618,063,972,024,877,892,419,371,485,474,601,
633,016,291,025,275,843,599,151,292,352,616,605,101,620,138,197,723,026,749,
961,801,913,621,044,516,102,069,560,670,390,882,381,968,649,015,794,126,463,
945,098,472,241,225,487,534,622,130,741,506,028,608,476,386,950,923,241,821,
190,871,326,613,859,492,597,351,361,725,258,230,145,580,935,783,635,288,186,
141,996,932,842,544,149,455,434,322,002,332,293,480,011,607,517,442,753,209,
288,460,910,329,219,009,837,092,600,539,368,866,295,000,870,505,063,326,611,
735,735,511,554,679,803,868,049,786,360,868,492,770,190,592,964,935,117,710,
157,733,039,388,100,242,643,153,488,331,192,872,333,938,288,627,934,766,154,
936,771,317,784,115,302,854,874,436,405,912,643,388,087,222,505,680,045,326,
926,351,068,309,881,650,360,057,337,650,672,211,411,313,073,940,155,012,662,
853,718,823,256,561,489,911,034,348,712,121,608,370,752,983,886,598,756,640,
980,883,090,114,175,593,316,759,922,829,608,269,505,656,469,588,967,278,756,
004,734,345,224,275,104,057,256,788,377,891,137,473,927,967,663,482,060,952,
516,398,764,064,846,965,841,059,093,127,184,874,569,797,220,901,854,319,825,
563,461,014,243,973,344,927,422,615,474,308,875,023,636,208,663,510,080,879,
437,522,217,835,926,045,615,296,285,152,091,168,408,671,513,771,852,982,716,
711,303,679,496,958,602,664,500,465,256,839,165,546,931,305,906,265,281,988,
709,370,522,494,785,880,738,882,489,325,071,864,047,730,440,525,320,220,557,
279,267,274,307,213,901,965,011,511,844,522,212,293,309,517,610,232,985,652,
828,955,533,873,028,398,952,174,632,518,445,351,606,038,805,093,416,817,963,
554,561,654,376,975,584,394,778,647,954,289,561,528,466,670,405,454,443,444,
934,809,105,979,769,136,383,439,610,643,479,325,748,475,971,093,043,875,504,
056,425,085,685,849,811,794,760,858,518,555,948,987,109,064,448,674,934,273,
746,087,979,077,613,387,226,194,069,166,985,311,408,072,204,430,605,829,606,
279,621,817,168,296,496,597,516,490,330,469,197,197,173,223,521,908,773,759,
668,235,086,257,749,777,316,651,276,039,343,934,511,601,821,511,715,458,355,
134,125,660,019,309,965,207,002,277,095,088,030,503,367,618,304,397,366,641,
113,100,981,226,013,040,342,679,664,243,158,422,571,165,906,346,417,377,605,
971,439,629,685,561,860,147,695,175,800,439,934,542,363,976,874,597,621,606,
195,276,931,421,969,831,171,472,450,251,110,241,039,054,696,699,666,826,034,
796,365,128,872,730,033,660,560,734,408,058,111,224,781,122,237,901,777,251,
445,746,794,535,926,134,114,449,961,010,397,024,962,724,317,359,317,368,419,
633,503,404,147,187,823,548,609,879,945,670,621,119,782,637,952,288,808,550,
814,280,818,859,631,645,252,800,286,468,277,637,583,928,409,777,115,169,058,
365,682,012,313,786,205,521,436,099,001,243,363,325,484,009,736,438,859,447,
286,456,518,223,340,386,778,782,578,303,601,260,062,901,912,340,255,316,375,
068,306,502,587,592,749,667,159,966,679,302,320,594,469,968,718,195,145,420,
052,980,912,445,309,363,386,379,955,743,425,401,565,315,381,759,851,750,345,
421,145,066,627,767,667,185,784,657,145,137,011,182,514,121,776,670,682,666,
335,625,911,478,354,498,121,854,656,870,238,405,013,976,711,774,780,395,382,
670,701,796,921,322,269,537,218,670,594,213,974,484,869,417,518,791,726,875,
606,001,381,010,718,096,253,484,108,041,938,825,834,608,442,996,547,198,885,
662,343,574,217,119,673,892,540,062,224,818,123,555,545,862,468,005,116,868,
946,837,942,407,519,655,042,618,379,271,271,310,518,892,972,382,325,287,826,
446,461,788,067,384,039,168,046,205,703,950,823,059,392,856,930,533,630,397,
638,608,005,133,480,655,556,889,704,577,314,670,027,839,589,817,703,350,559,
589,561,268,935,165,241,575,691,617,980,310,623,721,034,286,370,847,917,823,
529,031,595,542,915,592,671,951,646,081,444,704,544,726,854,706,831,523,423,
876,480,226,178,765,806,803,934,461,654,202,740,363,317,627,963,058,750,803,
722,344,327,587,252,953,531,594,001,151,545,981,452,469,692,049,513,871,499,
832,843,331,022,336,098,167,649,050,509,017,442,543,907,248,684,424,911,401,
212,773,817,341,913,839,197,402,262,748,887,483,910,927,664,929,765,063,697,
024,717,802,137,332,246,953,394,565,385,269,994,246,114,781,130,255,010,919,
384,528,441,844,711,430,154,614,865,336,104,460,845,071,781,597,712,920,008,
014,559,622,248,683,774,654,275,996,282,530,869,056,392,256,079,803,482,973,
277,259,675,083,460,751,865,370,313,323,395,553,105,549,519,253,781,898,848,
137,636,241,333,033,376,260,312,942,112,268,932,260,134,659,596,733,107,349,
487,504,437,658,099,066,104,649,707,053,262,863,261,506,568,716,563,278,564,
072,403,642,233,481,205,862,040,690,673,917,928,623,287,892,182,891,701,181,
850,949,555,839,769,674,804,007,958,638,349,572,819,036,717,563,501,662,767,
449,563,792,542,747,458,828,537,463,193,579,980,566,665,572,998,950,932,861,
740,008,067,211,741,315,956,586,155,714,049,760,889,090,059,245,520,935,520,
488,034,656,339,639,249,908,295,710,133,386,444,411,532,081,493,498,486,803,
799,112,807,436,134,530,416,558,891,393,559,044,487,218,754,947,393,492,648,
098,400,735,981,416,568,336,043,159,139,907,403,207,304,401,235,423,330,329,
069,079,017,515,380,904,759,756,958,442,415,043,656,552,600,453,038,529,606,
389,555,754,563,969,741,027,687,693,075,224,090,134,220,966,279,576,552,962,
823,906,408,847,119,947,524,306,168,570,469,517,847,469,033,122,329,435,218,
253,807,881,211,769,164,058,714,986,336,574,073,763,527,305,908,871,956,746,
497,341,123,656,949,628,516,734,240,587,720,115,901,596,700,592,548,545,028,
067,088,530,180,972,430,961,335,381,947,430,660,806,056,634,747,758,743,943,
247,621,425,953,576,304,262,132,983,785,861,982,483,938,495,689,746,738,339,
966,389,347,633,634,816,873,746,965,367,727,633,294,410,547,629,588,424,178,
008,673,504,458,364,761,345,506,794,484,599,181,444,303,035,701,869,598,661,
323,178,364,193,660,082,620,898,645,973,744,069,027,853,323,049,982,636,969,
908,386,045,482,507,171,138,062,839,611,436,482,782,520,230,765,969,725,440,
426,754,454,053,331,649,584,054,221,376,772,301,783,295,176,663,746,040,666,
951,563,039,238,134,352,693,504,026,571,314,247,187,836,717,864,942,935,664,
248,401,659,814,965,191,345,163,464,218,388,889,012,052,603,445,841,729,267,
839,296,194,257,414,709,620,983,294,528,910,583,552,232,815,025,207,217,589,
189,083,095,507,676,644,719,067,617,154,179,523,517,336,885,799,331,253,201,
783,059,081,809,754,281,718,505,425,069,485,037,528,723,541,533,524,568,774,
879,430,205,903,942,880,177,062,549,759,706,426,033,722,833,031,375,326,303,
433,066,098,368,196,351,575,617,790,793,056,634,534,782,749,834,082,409,022,
185,399,902,371,038,435,634,303,225,292,742,775,892,013,873,015,758,638,914,
434,515,678,732,544,294,872,133,922,199,467,953,439,973,707,760,229,516,092,
550,078,827,042,446,043,581,160,224,723,819,257,111,414,808,214,781,453,807,
291,914,197,160,224,057,597,776,118,785,555,979,574,186,426,721,542,938,128,
223,368,121,203,113,650,935,526,298,059,896,858,559,766,436,319,911,027,195,
644,826,212,096,377,786,793,280,308,845,656,344,649,860,525,444,269,612,765,
177,066,364,894,055,612,748,628,401,063,362,965,655,568,956,484,309,723,806,
093,037,256,351,469,843,802,717,503,263,444,016,793,932,574,367,624,989,054,
751,268,918,804,937,191,360,050,047,520,285,770,984,892,009,391,925,029,068,
882,375,514,192,498,363,495,563,767,420,265,688,853,000,882,748,860,222,187,
105,803,410,930,347,891,171,066,667,329,387,742,608,780,140,855,783,934,342,
175,961,266,585,462,550,189,072,338,014,203,182,179,989,160,835,954,302,612,
490,012,218,434,384,349,775,155,510,686,924,741,108,443,276,648,168,946,399,
135,413,944,755,200,658,251,722,574,325,228,101,455,323,856,640,973,198,047,
040,662,876,058,486,877,126,516,062,774,767,117,486,331,196,990,783,708,855,
756,374,466,211,011,743,810,035,561,420,061,025,883,913,855,874,392,691,758,
732,179,130,836,870,788,164,457,058,352,155,423,661,687,048,509,946,887,907,
636,009,279,366,879,145,523,764,773,768,738,143,934,171,650,990,699,594,036,
737,051,594,227,591,099,446,420,588,922,081,360,513,015,311,354,944,808,143,
912,470,706,798,712,277,289,864,907,690,056,130,790,069,239,029,159,179,884,
379,971,338,964,357,545,145,832,035,725,586,323,415,916,739,893,498,711,831,
888,641,977,136,453,282,709,900,139,115,037,731,074,552,027,681,509,579,461,
854,391,099,380,704,393,060,383,850,865,369,823,918,515,614,374,328,956,271,
819,430,349,940,719,031,235,631,425,166,323,749,050,864,690,498,981,535,712,
399,846,429,468,789,686,693,529,639,375,499,499,099,631,551,266,127,015,063,
867,674,343,959,474,317,214,264,973,546,157,259,188,904,476,154,413,492,717,
927,532,824,397,956,887,085,778,751,900,425,574,898,496,632,770,637,297,658,
233,413,684,325,689,093,679,998,122,225,058,423,160,962,006,721,142,629,043,
909,586,455,491,313,308,048,501,068,079,806,827,012,434,827,381,997,219,881,
931,574,231,822,521,533,262,329,706,199,824,921,743,058,706,595,365,908,862,
844,865,504,237,188,290,775,440,717,011,275,697,130,006,094,211,826,690,307,
752,470,101,989,881,348,933,002,031,233,390,222,390,238,798,535,940,718,474,
425,176,078,022,187,175,384,314,318,121,310,274,905,197,240,791,038,368,662,
956,555,039,603,136,284,094,871,891,528,055,831,877,225,054,392,531,882,762,
841,381,959,759,326,951,653,725,146,884,603,919,857,589,183,732,247,594,676,
057,722,439,847,460,390,591,733,051,499,825,754,588,725,330,995,791,430,306,
602,083,333,091,154,836,451,257,583,166,231,724,960,948,355,115,130,961,012,
767,549,333,191,888,938,200,464,522,242,703,620,779,318,036,269,480,155,012,
621,177,325,429,109,279,813,479,636,344,019,410,696,223,976,161,040,066,934,
681,400,328,975,061,994,054,652,252,923,195,112,331,830,467,112,750,892,253,
081,866,561,373,947,915,191,706,538,769,016,512,147,305,698,116,008,534,024,
430,042,711,031,236,800,728,831,826,682,180,884,757,090,654,546,709,296,759,
141,248,764,432,421,881,648,051,748,283,229,281,036,055,241,084,454,808,942,
884,562,729,775,119,322,242,967,725,400,763,714,716,384,224,450,767,477,905,
667,797,908,750,429,642,619,481,760,850,197,967,565,398,227,877,665,192,598,
606,328,967,216,696,379,210,026,574,167,698,095,970,919,723,327,710,936,352,
305,272,106,769,776,829,001,372,225,272,005,254,858,064,794,960,905,821,866,
196,939,498,718,346,263,639,746,346,049,405,485,040,918,271,762,298,120,569,
346,912,869,376,970,138,949,485,500,460,506,864,210,228,014,688,979,873,138,
884,546,088,754,925,776,308,822,480,475,810,543,758,106,933,880,225,482,632,
297,948,240,820,204,545,595,312,091,825,935,122,487,073,995,505,045,159,317,
629,835,493,179,076,115,536,233,753,062,991,780,629,018,303,531,452,248,529,
647,647,762,902,161,166,295,482,649,377,708,959,340,654,453,462,904,439,865,
845,464,220,885,009,454,526,807,859,726,310,509,774,179,611,239,713,153,443,
531,024,887,964,871,592,737,033,411,373,630,096,060,409,946,914,137,510,260,
616,921,409,944,492,225,967,776,448,183,932,598,698,261,662,078,379,410,095,
339,752,257,792,991,306,145,376,757,487,052,729,258,716,658,595,252,812,922,
566,918,408,826,578,060,530,262,822,350,731,643,034,550,780,123,127,281,894,
833,164,452,361,137,679,471,144,296,082,283,592,321,629,720,625,410,497,772,
745,120,199,000,057,076,647,442,357,889,605,209,874,643,995,256,601,566,226,
101,615,118,160,500,211,869,872,126,773,440,347,058,782,988,064,457,654,772,
814,576,663,703,949,587,582,657,821,395,069,974,518,019,124,663,376,892,650,
126,571,290,229,323,685,293,963,283,017,299,596,848,252,412,176,757,769,833,
581,417,760,146,817,020,177,509,648,771,351,007,504,490,858,162,075,476,842,
806,062,617,581,237,834,257,349,245,647,390,221,942,499,823,462,503,138,415,
290,435,269,136,011,465,360,419,814,735,896,175,837,324,058,226,400,228,043,
202,710,782,899,982,432,233,946,422,143,782,230,314,145,889,770,953,173,205,
016,747,124,701,168,761,047,203,755,941,498,474,967,374,295,159,493,592,064,
407,545,431,859,483,991,174,412,922,974,794,005,163,353,252,545,530,937,454,
648,596,625,291,103,930,256,605,861,782,474,646,006,702,970,129,677,441,536,
040,827,200,125,216,943,431,310,364,410,069,710,000,295,892,019,842,687,773,
365,968,383,649,058,800,842,064,285,122,028,683,075,789,476,573,011,911,656,
958,627,957,813,546,828,840,877,594,412,808,696,174,618,285,667,262,682,589,
341,864,573,762,953,659,682,728,590,025,885,272,967,871,373,960,422,380,741,
100,823,391,431,029,911,905,321,119,165,583,893,615,977,033,752,301,755,537,
925,422,953,351,584,181,107,403,324,713,512,989,462,722,835,348,838,641,594,
945,953,403,696,143,877,262,650,735,764,526,455,792,053,264,267,776,120,702,
833,859,144,543,585,375,824,951,106,446,818,545,979,022,976,949,928,595,093,
142,979,443,700,802,791,136,544,266,786,531,361,299,091,001,351,144,967,142,
705,443,782,085,259,971,040,761,873,680,456,278,473,768,158,891,628,333,052,
821,582,014,649,429,546,765,414,847,560,063,417,450,258,603,439,735,466,601,
085,024,627,930,914,337,285,629,104,796,438,033,470,005,200,992,819,407,365,
810,226,348,484,968,687,413,395,580,237,750,856,582,308,298,729,456,642,483,
614,252,076,046,063,436,653,249,764,306,714,147,147,884,001,988,742,782,386,
540,936,952,405,037,935,526,062,207,607,939,232,185,842,612,747,100,948,163,
885,555,845,711,492,570,532,200,940,271,337,191,329,348,388,230,131,308,685,
466,563,720,059,398,428,868,736,950,626,328,671,437,931,233,535,965,469,211,
669,468,566,654,426,993,425,675,036,332,002,947,387,996,025,343,555,132,617,
744,031,396,539,582,913,617,437,943,945,319,394,693,980,416,133,786,445,688,
206,730,042,847,231,402,786,720,553,067,221,771,510,308,532,613,797,753,374,
280,522,533,439,099,072,072,332,496,333,449,617,802,200,777,488,206,429,128,
804,605,392,500,128,302,369,090,887,504,423,909,075,025,910,191,829,015,483,
241,797,105,499,923,421,691,208,024,971,043,010,622,109,164,207,468,158,930,
974,907,201,358,952,104,168,874,521,319,310,869,024,698,824,686,847,140,570,
455,654,071,406,154,748,800,235,551,760,971,116,397,757,585,688,206,309,751,
041,582,056,915,741,762,197,432,427,513,030,714,401,392,430,226,120,108,138,
814,034,657,646,093,388,988,088,056,528,336,053,820,773,221,430,052,898,732,
991,306,019,012,191,086,180,680,869,422,222,569,735,701,433,999,580,112,755,
521,969,896,752,801,035,519,857,957,604,650,163,263,463,322,635,806,795,776,
950,657,677,716,332,919,299,401,329,775,412,269,119,711,378,633,526,844,897,
163,109,695,742,973,451,225,622,549,018,166,951,697,221,811,086,175,119,491,
425,923,922,710,574,031,189,267,751,600,128,548,276,325,267,481,262,137,386,
667,049,485,968,455,026,794,831,868,682,066,870,733,254,108,550,585,421,240,
823,716,868,754,466,979,329,882,862,541,934,980,504,824,138,170,861,168,130,
582,721,939,142,415,019,640,879,549,143,932,690,438,402,038,378,026,660,686,
912,109,821,676,597,467,691,759,209,310,477,517,252,123,047,100,543,398,649,
011,626,816,369,896,842,529,487,300,231,043,161,337,403,117,823,257,832,458,
129,824,722,071,882,085,569,139,190,960,003,604,596,953,081,662,594,220,919,
821,463,474,169,758,663,354,219,078,478,510,315,144,834,959,660,010,985,841,
992,534,020,523,449,826,597,983,078,722,638,875,880,796,717,729,716,772,472,
478,801,353,491,505,276,003,444,918,154,259,371,005,844,264,402,386,113,475,
638,407,853,123,818,450,994,349,606,832,272,365,489,212,098,753,431,360,073,
697,173,134,868,828,272,713,100,146,467,876,558,207,293,019,602,110,833,733,
758,327,317,674,146,877,011,386,401,999,282,325,504,032,455,935,442,832,276,
010,560,633,756,973,178,818,081,154,517,759,513,043,286,742,348,046,067,433,
254,542,430,467,647,281,963,505,453,557,915,183,922,371,942,585,818,014,176,
264,374,443,073,192,587,991,230,407,721,696,801,402,228,143,791,834,666,525,
692,269,848,057,583,480,596,964,631,800,837,752,293,455,788,162,794,486,883,
504,766,463,466,158,845,706,808,998,425,350,927,887,774,634,827,346,814,975,
038,633,404,996,824,325,045,540,890,591,007,544,645,642,356,030,776,629,633,
912,312,777,005,291,914,706,159,020,260,432,533,411,646,893,037,432,231,509,
611,343,293,937,865,243,939,777,309,509,301,769,907,314,488,436,827,977,459,
137,672,636,632,619,749,097,951,893,924,511,409,193,108,797,807,800,726,635,
597,909,639,517,551,637,729,461,265,138,918,867,088,296,504,226,424,453,456,
490,884,700,324,007,086,388,446,989,936,770,970,022,215,931,909,509,997,998,
681,838,626,210,006,091,399,912,949,938,531,544,967,778,134,365,804,926,054,
141,951,437,706,564,534,242,972,381,236,485,904,872,499,731,382,154,498,461,
092,522,171,863,293,914,692,728,669,356,141,895,283,143,855,827,575,551,625,
001,274,922,380,589,133,760,139,274,177,214,230,674,175,797,839,093,595,520,
021,921,202,213,387,647,365,195,672,194,488,476,778,027,699,193,575,229,578,
970,317,930,267,492,203,232,960,487,101,068,916,987,255,311,876,302,577,353,
601,635,411,486,525,757,725,015,981,943,978,090,794,700,962,370,665,969,470,
436,882,145,740,661,466,156,165,602,366,214,613,423,250,872,366,363,623,566,
773,852,880,271,188,767,295,213,324,203,672,821,518,445,113,734,457,407,749,
837,153,370,801,511,081,591,041,442,255,854,930,796,507,219,227,594,109,426,
237,330,561,951,189,205,509,438,261,654,574,832,805,329,903,732,336,401,411,
798,489,081,071,119,345,110,713,226,541,752,399,468,194,090,854,034,685,714,
206,995,326,316,253,909,304,093,061,598,272,641,339,021,147,381,961,991,469,
802,487,582,808,481,833,080,699,603,991,791,766,550,830,581,241,439,120,955,
998,070,112,178,476,392,842,273,433,476,277,915,425,948,100,748,324,268,981,
315,779,318,600,904,332,826,955,170,615,968,998,327,094,055,894,334,532,296,
448,903,248,638,209,764,354,757,038,818,232,449,283,808,043,979,012,483,478,
598,712,270,435,067,066,579,265,133,837,928,073,461,001,044,542,934,554,018,
213,550,777,949,932,663,186,691,608,924,102,981,732,617,388,376,768,350,237,
300,569,598,171,948,420,864,976,753,678,486,520,187,461,460,368,853,398,431,
750,176,120,723,905,380,790,272,245,659,338,043,087,080,566,458,165,964,417,
543,273,030,504,286,260,594,522,519,325,916,783,882,850,790,796,775,691,528,
216,395,987,152,520,461,593,785,313,492,788,153,106,127,269,068,172,829,152,
464,930,530,416,026,584,043,091,625,804,334,800,685,452,355,659,599,047,449,
313,408,547,227,959,305,042,932,582,956,605,381,817,721,699,938,545,497,976,
801,316,389,376,645,624,412,207,362,723,044,224,828,328,009,507,541,871,164,
943,142,149,020,178,572,566,285,427,235,647,945,595,460,100,809,333,498,064,
214,498,494,229,478,687,008,285,316,514,244,553,361,375,486,792,790,164,011,
988,640,938,260,194,303,788,460,098,270,776,011,000,079,273,412,026,370,187,
497,021,795,270,229,275,650,369,529,088,762,378,508,728,430,712,550,402,672,
769,611,854,486,120,862,893,060,541,418,141,001,772,018,839,779,499,179,324,
077,950,975,344,906,577,254,237,989,831,924,137,288,690,488,777,169,566,680,
721,151,390,287,954,382,536,910,087,170,336,229,172,182,208,533,211,992,600,
691,030,214,674,913,553,118,461,608,126,738,681,105,064,344,694,308,964,973,
895,173,652,755,846,568,031,818,812,992,381,866,926,098,874,462,249,425,331,
157,352,450,702,927,878,461,639,870,553,630,149,297,897,820,494,758,130,199,
928,245,804,413,512,846,878,224,034,468,722,365,508,039,428,502,178,562,372,
089,868,679,294,418,475,082,059,216,226,993,094,556,519,920,925,060,450,588,
056,802,203,018,148,042,991,058,407,999,151,442,507,680,299,258,360,484,362,
907,951,186,148,063,239,422,229,331,736,944,978,458,198,494,463,964,748,415,
456,127,317,175,440,352,678,297,142,713,432,739,003,367,806,823,025,590,521,
271,415,198,703,849,697,574,525,504,912,081,420,212,680,573,869,319,212,109,
289,602,635,795,893,730,873,964,045,604,378,580,746,206,189,319,126,970,571,
504,613,415,564,573,457,779,873,564,289,919,949,774,628,842,157,133,518,055,
682,816,007,269,760,579,585,517,058,806,012,239,955,413,368,720,705,080,046,
685,727,448,914,084,227,443,068,604,561,354,490,450,106,769,730,917,984,295,
777,855,766,806,739,492,477,249,156,737,628,590,104,798,351,459,799,892,670,
290,046,147,349,592,412,371,454,196,527,609,874,326,403,249,375,204,048,596,
916,974,353,342,207,530,193,520,547,500,951,913,557,762,760,239,651,410,419,
077,053,523,011,436,813,248,950,848,563,525,495,453,831,705,561,002,385,621,
072,779,407,653,501,463,099,237,986,658,435,109,593,270,293,383,001,633,525,
266,011,662,993,885,541,533,077,374,886,130,040,116,423,257,595,371,174,342,
831,230,636,756,594,151,118,320,897,396,601,623,020,933,858,376,645,359,884,
464,273,137,773,471,198,001,803,860,395,244,700,943,684,713,121,791,756,489,
036,190,491,081,506,018,347,291,800,447,435,184,780,967,377,109,587,430,655,
703,415,954,496,903,992,680,646,284,947,896,890,599,078,441,564,350,876,022,
962,810,438,846,065,111,280,781,358,104,251,991,223,011,451,595,147,365,018,
197,723,668,981,452,758,980,518,279,897,105,996,606,707,659,396,137,010,919,
936,612,159,259,084,604,991,986,994,798,436,729,367,214,377,469,776,159,909,
957,749,310,336,322,654,486,576,892,318,119,839,506,690,814,288,819,873,694,
095,875,173,608,786,976,385,937,080,899,884,084,924,098,481,332,684,912,087,
608,949,427,763,349,360,578,434,710,823,729,066,165,145,085,620,016,071,969,
042,425,124,531,624,135,831,491,631,958,483,167,134,918,965,312,863,247,209,
212,875,667,168,802,979,693,877,488,525,267,196,486,441,271,839,431,280,011,
563,578,944,677,597,058,978,769,793,105,485,517,898,223,783,707,012,099,996,
672,621,195,844,087,307,139,396,665,959,437,015,716,295,529,769,954,567,556,
444,639,063,861,887,518,757,033,765,572,504,350,738,665,036,110,450,200,198,
302,492,126,643,926,068,469,572,183,300,268,671,181,988,051,805,929,310,827,
809,170,881,913,781,043,889,270,048,078,776,107,440,772,448,874,554,854,466,
719,032,652,654,015,229,892,773,846,552,195,434,512,811,945,758,545,054,528,
889,700,204,575,892,663,525,543,789,738,852,710,195,301,980,522,159,167,391,
055,484,709,757,393,807,719,399,446,827,315,037,217,778,752,194,263,736,618,
033,887,379,763,748,970,520,702,593,433,040,896,240,061,376,453,843,278,086,
275,550,921,068,616,332,596,600,514,776,936,853,199,383,626,136,103,740,384,
585,081,053,332,633,959,013,365,618,735,201,262,995,416,925,320,141,760,289,
606,095,901,041,960,851,543,321,180,982,910,913,622,991,505,498,132,877,440,
610,559,026,252,616,489,604,326,502,242,146,180,249,958,700,067,141,820,794,
260,767,564,159,215,172,158,667,802,683,953,592,502,589,793,586,757,299,170,
222,844,538,654,969,884,752,472,498,831,544,466,147,091,320,099,168,126,699,
235,943,900,367,580,942,307,965,724,692,379,528,675,767,773,293,198,460,888,
026,725,277,994,610,327,821,098,496,523,193,892,130,727,905,491,226,773,068,
970,480,194,124,863,392,923,422,288,944,215,688,578,541,705,821,124,916,286,
928,470,471,413,559,245,248,384,730,053,424,854,445,288,251,096,420,087,424,
235,043,264,361,353,108,265,381,392,672,631,358,769,641,441,566,638,285,816,
540,011,253,147,217,847,537,752,009,461,487,802,025,109,533,618,957,195,741,
882,375,538,721,532,658,044,044,098,155,404,833,380,638,141,915,689,960,319,
626,406,037,001,069,891,577,104,671,645,461,349,718,857,198,063,555,503,268,
091,816,210,376,984,264,327,648,112,952,666,590,223,532,990,275,257,099,369,
815,854,784,001,524,746,049,844,465,421,199,189,332,170,381,589,942,854,343,
939,013,343,854,364,708,070,257,227,759,942,654,268,016,629,717,815,867,877,
360,985,141,826,452,639,230,925,512,359,462,303,522,161,868,251,355,679,548,
493,100,725,827,523,615,875,377,675,753,226,761,166,405,604,124,672,866,252,
106,211,048,761,008,595,508,648,574,840,638,536,594,935,079,558,346,728,972,
970,760,381,170,974,193,900,388,925,816,750,055,290,857,996,402,422,687,052,
710,162,381,412,593,180,538,351,177,456,215,246,377,906,922,528,115,991,849,
813,580,331,838,720,198,951,099,800,426,569,314,141,694,388,201,065,891,489,
503,836,371,003,787,636,988,620,944,026,403,902,756,139,926,975,110,232,681,
131,344,703,991,513,058,631,517,281,218,776,038,029,453,562,419,175,390,288,
786,133,486,430,191,117,460,694,420,923,912,752,077,090,741,094,227,737,959,
894,977,460,332,573,500,445,651,083,173,302,430,309,091,456,443,171,314,992,
463,473,849,979,101,534,508,054,815,882,068,903,431,273,295,164,093,400,353,
924,172,378,487,953,447,797,407,335,911,423,558,773,857,696,792,883,065,853,
134,306,400,120,929,344,934,048,387,179,313,987,276,958,065,595,119,364,171,
043,909,002,324,806,532,290,397,251,588,905,788,683,510,520,817,836,750,889,
730,550,362,454,611,586,661,250,906,023,322,110,197,722,659,827,760,296,908,
670,419,921,605,941,585,046,332,378,376,938,229,569,268,637,386,331,202,759,
195,127,714,708,700,734,574,904,845,114,797,901,071,256,550,720,459,725,062,
044,074,017,597,414,754,365,737,934,066,564,818,806,289,531,928,606,762,055,
674,964,443,393,297,596,719,934,175,722,802,576,135,828,825,331,914,830,995,
270,062,805,541,228,409,986,761,974,186,574,173,665,993,779,899,799,899,540,
609,452,962,871,696,321,349,297,095,402,928,687,311,023,337,986,220,344,884,
069,583,694,245,064,344,530,847,555,668,779,044,345,937,928,192,299,314,800,
573,902,437,081,343,863,114,911,864,306,652,299,578,729,514,663,631,200,886,
347,557,134,464,610,192,817,537,698,518,847,856,580,636,008,813,390,216,659,
300,235,106,182,320,543,900,033,810,943,536,658,834,721,359,215,781,090,611,
534,265,815,424,275,356,169,021,320,396,503,704,865,754,528,273,379,572,445,
769,081,187,887,635,148,021,647,618,406,255,804,599,900,584,668,999,840,998,
242,187,070,905,625,713,839,190,306,451,095,725,636,155,417,985,459,259,538,
551,575,462,441,475,345,630,704,292,823,410,049,882,966,243,120,436,623,118,
661,268,150,441,384,034,200,380,949,573,004,727,120,777,973,551,545,781,144,
526,932,206,912,549,746,058,216,570,060,643,572,098,182,806,243,072,518,826,
630,167,292,706,882,434,548,949,883,205,850,662,610,875,438,778,459,525,339,
141,185,863,840,538,081,002,511,412,960,679,125,795,175,188,416,913,235,688,
801,179,631,712,331,460,909,664,028,749,537,288,778,158,200,699,051,303,585,
458,180,243,855,703,541,644,832,466,764,550,404,044,665,193,563,964,472,744,
212,981,580,293,566,238,034,693,903,740,865,270,332,303,647,273,954,820,050,
723,691,353,572,203,225,278,629,218,594,516,197,071,019,758,235,508,592,859,
745,314,285,994,188,825,872,278,071,003,840,171,858,733,590,109,393,821,901,
117,910,005,012,306,830,069,600,593,282,196,133,713,795,187,271,011,618,669,
580,010,167,984,650,208,623,447,814,992,005,783,163,510,735,692,670,108,234,
378,966,031,226,700,136,290,209,249,229,554,515,449,624,601,459,414,354,572,
267,370,149,997,669,796,566,065,681,858,261,773,842,514,122,405,113,945,817,
740,650,817,808,084,489,577,739,639,744,573,609,253,050,521,168,615,670,245,
183,683,706,339,092,898,792,592,999,714,561,895,220,721,230,418,476,329,926,
001,676,179,623,185,673,199,304,768,926,559,388,152,281,360,608,853,602,831,
898,933,424,191,068,719,350,053,016,587,878,838,514,550,816,804,246,556,216,
792,203,927,639,556,168,907,884,509,556,449,742,194,499,574,352,508,823,091,
000,621,850,285,953,921,603,457,895,640,665,107,717,156,391,303,985,845,342,
831,080,880,580,283,659,142,127,846,261,055,798,487,075,698,248,233,657,817,
172,566,409,388,703,079,557,648,412,874,342,209,355,186,657,961,920,174,151,
142,699,261,197,205,741,964,826,219,564,375,074,458,307,244,634,373,107,815,
158,314,533,620,558,128,856,692,332,440,758,234,785,224,511,712,589,927,705,
031,430,972,082,273,188,073,724,567,875,215,727,791,332,928,623,370,727,753,
619,690,535,026,849,055,863,643,437,231,060,510,507,264,376,807,183,865,760,
180,266,156,438,130,559,200,984,887,884,543,751,189,884,241,404,682,167,280,
947,594,964,259,673,488,058,977,890,166,650,767,200,401,752,266,073,326,990,
967,407,333,710,954,901,475,474,593,480,316,214,017,393,389,610,339,779,666,
069,448,767,819,958,427,201,199,706,317,122,714,520,503,719,812,611,119,873,
108,957,582,709,866,374,245,214,881,299,147,248,434,908,900,182,106,825,568,
342,716,188,230,914,184,607,213,074,063,111,689,525,816,582,198,122,346,656,
463,188,024,215,721,444,260,312,732,294,277,815,573,702,008,284,269,272,310,
781,034,935,466,697,357,519,070,458,530,724,995,461,659,268,137,838,430,468,
995,398,421,938,130,315,234,677,075,079,303,743,227,063,783,088,946,883,636,
218,594,281,026,147,907,053,522,681,515,228,339,319,884,550,313,942,460,268,
591,839,878,739,170,738,610,149,569,380,580,847,953,872,884,096,211,401,630,
148,830,515,163,191,228,083,686,453,530,335,530,331,687,385,540,341,690,024,
157,020,666,140,816,017,748,080,610,928,927,679,660,540,533,168,692,596,315,
029,079,662,912,785,259,961,579,833,253,093,180,631,486,801,798,158,972,859,
029,610,622,013,875,076,482,053,951,218,719,614,900,068,071,773,432,459,741,
892,458,711,505,300,436,386,089,438,289,927,441,760,825,578,719,731,779,242,
203,651,086,508,435,740,525,360,223,672,280,991,591,770,144,823,003,718,198,
200,758,173,016,282,286,037,210,882,753,826,291,661,891,101,773,016,804,890,
520,819,873,236,489,146,895,843,038,256,818,645,099,895,882,313,377,450,748,
577,423,204,225,303,527,026,818,001,030,641,621,732,152,974,450,499,279,207,
934,115,278,796,747,401,932,262,805,451,065,472,763,872,027,828,600,329,358,
657,990,657,428,197,761,156,114,400,548,230,240,238,949,679,759,637,428,764,
390,563,296,305,736,553,872,575,977,606,401,255,706,965,992,746,297,024,825,
779,865,879,306,521,114,211,483,906,017,721,413,024,904,759,141,284,429,061,
506,412,128,298,266,639,563,392,758,470,553,219,484,752,485,751,453,294,318,
950,224,823,485,749,484,992,629,638,305,413,973,364,898,654,635,728,314,211,
133,231,567,398,124,120,272,358,322,682,127,039,099,843,020,044,048,937,807,
007,488,440,317,493,744,997,004,424,040,076,064,988,663,434,434,627,778,138,
672,920,213,646,552,266,623,502,309,375,457,854,803,877,205,910,082,171,036,
286,995,928,172,903,417,857,005,773,360,597,900,705,439,923,441,515,925,228,
584,321,508,160,901,261,365,348,961,192,834,113,642,130,183,737,791,928,991,
742,006,749,606,168,770,148,600,587,767,123,585,817,632,827,514,527,237,394,
171,803,483,676,234,292,390,165,834,673,166,848,728,313,282,939,268,091,149,
167,285,842,976,812,808,191,052,192,851,584,097,431,754,387,947,604,223,838,
741,478,991,383,787,004,172,357,560,478,867,929,365,809,528,609,440,811,809,
511,744,567,842,752,997,476,621,168,685,545,724,217,485,967,931,264,110,695,
862,268,605,713,323,998,896,823,723,409,963,459,017,800,715,726,660,867,843,
269,404,496,327,339,482,470,052,397,168,518,709,466,202,725,938,647,658,222,
015,598,139,669,474,115,533,308,750,495,573,966,948,097,107,886,230,529,270,
834,539,988,469,084,844,512,326,429,652,011,489,541,450,133,849,538,913,592,
005,067,868,472,060,535,334,672,886,463,299,674,003,552,684,295,389,866,079,
080,882,451,146,264,281,541,676,896,803,370,447,209,151,400,515,900,462,458,
536,185,784,688,284,921,192,659,665,654,986,811,750,543,135,033,417,026,068,
240,721,550,648,172,000,207,367,916,186,167,087,772,690,727,407,840,679,524,
827,625,047,682,263,585,128,020,396,019,236,746,139,489,768,550,321,972,153,
193,827,359,931,935,473,000,479,160,945,716,115,861,792,930,963,195,782,559,
645,998,545,031,868,863,768,789,665,011,503,273,181,830,591,588,805,184,052,
358,484,055,663,472,290,005,981,507,952,057,045,960,526,388,967,470,201,335,
860,147,165,577,506,299,049,573,843,271,923,548,659,679,863,960,408,285,382,
278,275,372,796,219,375,736,415,365,466,101,845,352,196,719,599,135,932,237,
940,384,760,395,234,844,230,633,841,939,981,212,430,958,934,477,413,577,507,
756,555,676,883,979,554,310,657,601,210,890,510,978,330,553,593,894,686,985,
010,634,711,077,654,577,481,951,247,788,747,680,966,500,741,239,226,419,592,
274,437,312,913,688,541,918,606,531,877,757,827,798,153,953,536,087,376,057,
366,602,760,109,601,292,995,559,633,476,108,309,936,161,769,076,448,781,533,
856,423,145,628,219,044,228,955,755,365,582,101,695,422,265,328,772,313,227,
463,609,189,543,684,669,276,877,770,002,558,059,302,503,315,376,447,201,922,
816,500,097,569,708,362,436,920,085,179,345,216,371,866,150,461,916,517,297,
958,597,640,863,572,157,555,906,163,489,689,188,912,264,847,540,999,450,993,
911,097,433,060,229,216,388,770,093,418,012,307,855,151,703,412,336,467,731,
036,836,611,084,992,676,537,223,210,017,224,759,106,184,753,625,021,256,342,
634,609,544,806,811,411,099,908,035,690,580,289,559,804,541,098,076,032,118,
583,978,640,756,569,470,868,140,292,170,574,867,456,192,422,891,270,978,917,
394,842,968,129,651,612,794,722,707,450,400,665,597,805,086,950,838,031,162,
956,092,830,841,789,419,822,931,088,708,708,302,256,237,119,253,129,198,847,
844,735,354,289,296,434,965,241,596,606,071,005,170,340,317,293,940,360,768,
122,762,122,705,370,582,633,770,930,990,415,624,146,175,113,089,240,346,913,
221,278,034,391,757,078,497,471,594,513,815,111,457,211,484,235,872,947,700,
309,846,560,201,249,577,252,759,452,072,199,038,714,232,757,526,658,629,824,
449,872,077,272,281,252,320,108,867,598,693,862,064,513,145,421,354,707,851,
966,787,880,346,276,397,998,116,439,678,547,864,125,998,807,176,951,695,942,
639,263,470,069,947,815,441,620,274,291,395,846,168,577,658,646,897,094,955,
984,731,253,869,128,313,173,092,059,438,001,449,598,503,349,817,258,288,017,
733,245,928,310,824,220,013,794,893,566,574,835,809,122,864,986,334,386,335,
217,582,229,370,360,553,786,226,309,823,576,486,315,876,066,702,320,033,610,
016,555,799,034,235,429,491,736,575,252,242,445,277,140,025,240,843,652,696,
396,979,137,443,046,580,587,957,686,050,128,628,769,917,945,600,081,922,244,
473,754,429,806,762,708,383,590,143,622,976,772,753,974,513,243,096,721,738,
698,461,579,924,377,543,119,583,520,335,585,267,421,234,865,183,486,284,287,
221,121,898,031,994,118,244,763,567,880,375,586,340,320,516,810,172,717,113,
206,428,662,424,641,766,494,748,195,294,049,159,908,278,206,346,781,650,598,
926,199,482,160,494,244,260,552,450,644,170,900,491,932,796,840,005,286,560,
369,173,877,615,249,044,213,518,290,554,829,843,901,800,847,568,469,856,887,
537,185,674,293,628,456,752,935,738,377,317,157,953,355,786,906,145,376,156,
119,139,893,730,106,683,336,022,926,433,529,265,744,335,678,467,421,264,129,
330,177,481,306,113,919,985,475,723,981,132,691,144,027,344,760,079,940,389,
371,340,072,305,508,063,102,983,208,921,843,659,121,820,801,792,090,944,883,
731,631,297,188,689,310,461,248,694,460,284,184,973,536,160,692,348,658,322,
422,661,273,058,796,263,403,229,165,497,977,056,483,267,029,097,396,777,330,
246,888,790,998,759,326,208,897,404,464,998,140,638,690,320,684,070,451,663,
605,567,414,559,103,341,514,945,848,819,931,913,800,819,550,975,990,607,452,
840,916,969,030,084,128,659,151,162,786,686,303,503,112,931,111,399,679,114,
385,720,894,099,554,001,763,236,974,648,613,615,816,357,533,597,993,988,751,
769,024,532,030,414,836,580,042,031,395,621,234,711,460,385,499,208,403,874,
334,421,532,601,882,514,674,660,851,230,243,618,213,082,051,420,084,907,673,
621,089,425,830,744,288,115,982,458,830,509,872,912,968,486,445,277,910,672,
906,460,248,870,271,616,950,381,573,767,836,512,288,082,753,915,074,527,983,
549,425,074,601,291,471,496,780,306,400,022,863,468,709,589,330,941,290,332,
088,125,956,210,930,865,686,125,267,013,461,273,883,717,773,462,391,262,574,
305,913,902,675,619,237,738,506,322,152,166,512,474,470,088,981,237,871,412,
395,419,805,535,528,885,557,778,288,524,320,380,752,935,131,857,710,710,483,
063,404,889,423,319,393,168,451,889,790,437,569,435,420,405,972,877,727,537,
102,971,990,030,523,206,567,921,175,293,271,079,599,739,941,318,234,879,689,
617,061,333,408,498,956,635,027,360,203,568,293,565,814,826,272,419,963,757,
143,599,566,681,330,912,509,730,773,507,286,297,641,060,695,021,277,282,984,
060,607,764,620,014,605,959,230,123,190,124,137,924,315,188,481,068,909,579,
936,812,481,533,595,015,644,099,124,184,554,849,933,597,786,935,596,568,160,
124,529,081,986,516,394,696,438,094,452,916,423,565,372,527,011,570,031,008,
910,639,986,397,610,810,667,921,000,498,474,355,136,299,086,183,177,873,626,
298,160,004,917,409,179,917,552,517,302,564,688,401,895,816,722,939,647,826,
519,800,163,074,445,615,135,511,261,469,349,379,456,183,764,021,448,901,444,
719,361,301,435,605,852,256,723,429,084,015,899,833,831,012,208,348,403,729,
794,720,378,384,073,649,763,422,176,354,071,709,086,955,216,766,849,196,238,
102,896,332,313,506,599,608,240,552,266,129,653,521,448,094,256,547,445,336,
078,807,949,270,794,721,379,714,427,036,063,271,197,528,139,544,880,344,366,
206,863,554,705,403,266,659,988,694,369,581,756,159,373,801,066,363,305,884,
861,663,839,641,084,057,849,945,334,611,929,859,973,169,301,767,197,331,379,
813,464,406,315,135,711,331,423,909,507,871,031,435,588,254,870,613,974,022,
882,366,577,785,689,237,585,839,828,637,576,908,118,297,855,181,670,170,528,
072,425,127,545,352,996,567,565,032,147,575,750,894,453,244,506,497,384,615,
026,973,040,961,985,035,667,026,967,143,098,792,826,066,020,791,611,338,588,
785,980,550,344,493,747,958,036,983,716,295,182,685,887,156,575,705,806,777,
107,477,980,036,215,293,720,944,926,954,203,506,718,776,109,846,221,832,537,
992,838,626,740,722,439,024,172,889,407,229,021,805,528,705,953,495,212,890,
936,987,151,264,450,309,224,419,043,658,835,326,794,317,401,947,575,334,710,
232,828,849,732,733,772,708,831,663,945,865,608,172,689,341,205,773,406,682,
403,245,802,167,064,215,574,191,750,498,739,323,022,038,703,833,910,722,289,
715,290,249,898,187,437,419,114,859,593,846,354,651,309,221,982,906,240,299,
940,374,461,380,058,836,051,258,625,466,897,416,655,634,420,831,064,330,322,
873,845,464,964,292,382,457,081,381,014,195,802,289,451,759,831,728,169,662,
083,570,509,793,856,811,546,589,645,954,461,695,701,308,442,233,280,924,573,
234,004,150,907,385,052,240,189,882,323,541,302,277,338,848,414,898,935,105,
317,459,557,631,531,338,593,963,658,966,751,087,734,507,541,775,809,772,560,
686,620,329,366,319,511,134,704,234,119,978,530,798,693,210,293,656,788,108,
903,814,057,146,235,954,805,688,037,789,323,608,918,469,192,695,641,825,962,
053,432,050,770,505,589,599,911,048,079,133,062,750,051,156,259,944,683,017,
403,722,880,118,363,652,122,863,086,986,654,296,039,490,413,151,410,131,120,
406,765,232,722,859,945,911,547,590,309,335,631,312,455,484,144,021,688,572,
585,369,323,619,461,940,400,662,324,515,745,026,456,719,300,714,091,205,684,
056,477,108,269,378,846,384,953,796,514,411,950,602,572,223,150,864,464,129,
943,618,826,147,586,502,323,515,260,144,248,770,181,400,075,461,173,777,577,
666,089,821,736,616,317,850,116,688,784,674,160,760,625,701,394,958,988,164,
516,905,996,517,380,559,671,027,581,769,533,991,702,863,460,365,736,660,276,
232,147,526,084,323,449,775,720,701,885,214,276,933,633,420,521,082,577,302,
774,565,503,399,571,362,422,924,676,468,868,695,333,750,946,473,545,453,591,
481,419,586,452,107,318,071,761,038,874,800,283,354,081,685,768,381,442,806,
418,784,461,884,335,974,774,046,537,758,202,771,256,648,550,905,760,170,045,
303,132,342,381,631,251,217,630,344,980,013,992,849,481,740,125,322,094,177,
821,979,140,371,097,151,692,924,804,854,684,824,348,847,563,738,199,805,701,
096,661,929,815,923,446,177,155,281,135,677,116,151,425,274,521,936,514,995,
708,714,553,951,576,832,042,982,878,993,721,081,480,149,213,003,330,410,577,
481,092,037,576,759,266,238,371,884,238,190,593,096,516,184,400,607,797,477,
840,227,475,446,343,422,706,055,888,453,937,555,526,348,317,399,381,399,521,
333,368,083,121,391,303,853,329,562,558,992,412,435,006,096,374,421,801,633,
581,791,245,791,153,085,847,846,427,602,061,464,137,772,403,887,877,786,456,
467,242,580,830,132,246,888,655,599,158,884,248,693,279,237,667,730,075,327,
281,306,787,545,339,944,886,589,114,055,809,309,829,707,434,964,406,601,322,
770,630,312,004,826,993,918,799,716,771,522,923,257,133,489,159,472,638,251,
704,633,625,787,730,872,695,807,622,820,489,050,483,435,868,167,249,267,337,
492,469,579,766,752,049,828,031,042,970,249,027,835,961,023,898,919,538,484,
078,746,420,320,694,745,042,329,261,133,692,504,355,355,841,105,026,177,851,
458,040,209,479,480,780,796,326,730,190,179,060,850,128,542,414,348,226,141,
483,549,423,745,935,877,758,303,262,463,961,482,889,775,364,543,002,133,968,
278,216,924,596,929,231,484,603,573,155,095,842,536,724,881,814,505,958,128,
958,162,633,405,939,147,276,668,199,602,196,191,883,034,383,094,529,459,883,
887,975,413,100,403,617,370,092,986,348,179,186,514,590,680,657,440,888,593,
999,060,426,918,032,252,757,567,253,696,921,700,533,283,574,118,435,216,666,
667,302,887,066,791,109,993,065,952,406,283,860,988,400,733,260,142,008,716,
124,432,986,629,977,666,399,680,794,685,994,329,838,409,312,088,945,984,499,
927,858,199,639,696,444,541,244,127,050,985,776,023,093,274,998,756,147,326,
568,269,313,582,170,291,127,442,075,474,475,040,761,072,682,912,881,392,398,
086,695,124,852,001,922,476,248,178,698,471,739,360,743,310,510,559,496,351,
781,362,764,120,041,382,752,933,947,676,443,959,029,792,535,516,599,512,258,
991,904,641,456,749,596,589,387,801,784,414,558,211,252,283,781,932,440,301,
557,441,284,816,750,835,608,773,522,198,078,636,878,067,182,750,168,344,840,
639,898,435,565,775,182,347,644,913,806,598,598,123,577,184,469,346,864,682,
337,606,334,971,891,024,646,104,052,216,769,007,545,605,874,286,826,822,566,
658,140,858,418,401,059,030,702,126,399,310,464,120,302,277,653,481,243,025,
387,829,386,561,024,050,529,067,034,786,483,286,001,632,391,141,990,055,571,
692,353,177,979,586,209,749,919,513,002,701,808,087,798,225,864,732,896,700,
007,385,190,353,958,719,917,064,518,526,712,459,630,137,320,503,126,388,113,
298,801,408,902,481,545,794,549,034,729,651,365,471,495,381,367,781,661,021,
985,751,136,116,194,875,779,791,411,818,229,421,171,620,556,085,591,427,980,
506,751,350,205,386,592,851,459,269,706,835,056,261,377,718,183,147,089,448,
757,045,109,673,767,379,281,060,146,993,095,140,354,043,150,436,369,334,643,
536,061,238,976,442,620,062,859,703,700,467,764,213,698,560,215,651,985,746,
070,075,342,722,153,847,361,390,902,936,879,513,884,005,474,331,796,213,263,
727,733,070,029,522,421,752,613,503,195,656,781,825,210,773,456,312,593,370,
682,689,166,291,133,575,259,391,793,777,716,738,958,538,923,511,753,877,539,
078,369,682,342,263,655,262,595,062,493,801,015,812,995,380,513,006,244,036,
212,014,374,137,066,264,073,832,216,339,301,277,555,222,690,353,437,099,515,
779,454,763,971,109,326,820,758,628,432,873,325,265,553,343,782,170,831,790,
716,899,052,229,088,887,970,830,826,296,148,997,962,495,529,861,952,475,561,
767,315,422,220,645,038,322,855,696,031,557,687,065,836,730,906,080,192,076,
284,572,968,367,775,292,776,095,847,358,855,888,233,848,137,433,320,168,185,
821,277,239,507,845,445,462,764,170,472,051,962,657,230,582,747,630,323,225,
329,544,971,393,021,986,873,507,735,312,434,471,067,557,645,312,827,476,145,
433,409,040,191,416,889,979,239,334,328,979,280,972,110,759,754,336,570,967,
745,866,210,645,848,094,745,378,746,523,796,157,509,233,832,447,533,904,794,
233,547,860,772,264,310,918,840,576,467,816,687,425,040,884,310,664,465,772,
457,165,660,282,418,043,491,409,231,884,510,330,205,189,330,205,882,855,253,
477,792,636,754,889,704,358,429,414,733,907,613,710,964,151,935,764,070,158,
758,842,433,935,978,920,067,120,392,791,392,056,016,095,038,604,724,584,301,
200,369,392,663,678,406,279,868,836,982,284,750,487,954,515,653,610,757,525,
227,079,049,127,083,185,968,885,347,815,356,386,107,978,396,440,244,375,993,
654,503,939,152,559,982,152,561,840,561,682,770,884,669,455,178,995,480,147,
949,656,902,111,600,368,606,843,013,704,606,416,048,393,798,797,708,205,722,
564,013,757,689,279,891,656,695,819,956,117,507,993,649,625,585,295,908,857,
439,604,407,952,208,198,713,705,313,629,025,523,407,408,449,927,017,553,052,
453,880,163,377,116,950,893,532,559,900,155,098,277,793,909,413,265,177,992,
596,708,825,916,625,255,434,717,770,380,254,105,782,126,879,846,168,439,920,
155,667,440,824,806,443,864,552,883,249,297,874,804,267,715,534,695,072,908,
253,628,661,727,255,673,073,394,469,365,882,026,274,811,888,466,007,777,466,
259,647,975,218,482,953,557,151,675,740,812,661,242,273,895,988,252,439,744,
190,835,729,044,709,400,092,950,248,072,713,519,392,029,849,749,986,208,075,
933,180,135,272,393,834,990,237,550,450,547,055,934,124,956,855,695,451,114,
961,638,873,823,470,459,349,205,488,137,203,988,650,318,733,796,030,260,988,
192,282,501,519,666,932,694,549,456,769,843,228,472,882,223,027,865,132,725,
878,596,201,013,962,545,476,118,735,224,631,524,906,608,607,106,251,533,166,
319,604,895,407,105,876,664,235,942,054,111,223,738,887,023,829,415,222,529,
425,900,166,171,436,920,657,718,426,538,686,364,445,829,227,801,144,194,464,
641,222,929,630,970,963,733,435,435,869,023,718,973,112,411,478,824,406,575,
975,225,089,068,602,114,501,334,751,467,253,750,311,810,456,566,896,833,554,
424,686,159,136,905,242,227,988,699,098,360,409,411,942,877,328,851,753,905,
624,113,305,498,526,826,611,120,977,521,130,904,656,190,101,275,012,716,166,
079,523,566,532,838,363,228,846,225,457,532,408,643,065,051,203,695,946,266,
559,823,622,284,176,452,704,989,445,470,632,487,174,925,385,879,307,575,055,
700,732,119,612,679,036,484,528,174,312,185,953,072,094,650,907,123,166,298,
617,144,235,080,736,530,702,484,336,342,437,328,783,297,860,195,769,346,740,
271,608,699,340,282,131,158,992,046,449,175,944,468,120,488,975,239,350,143,
653,082,964,299,295,664,727,673,858,119,551,477,862,512,523,171,003,080,280,
370,611,999,710,805,028,985,090,853,392,174,938,680,372,701,809,011,607,315,
917,267,094,619,841,553,346,959,049,569,988,580,210,388,540,728,212,536,805,
487,418,342,954,746,805,295,527,765,501,720,187,097,077,375,243,509,378,664,
933,407,070,235,823,363,961,457,018,899,075,795,141,917,813,147,658,510,547,
953,560,245,482,226,855,246,072,339,532,563,936,728,062,591,470,973,379,109,
084,898,967,903,177,181,942,604,506,710,201,908,956,024,307,687,014,386,455,
860,698,965,177,244,141,618,421,685,555,993,991,142,324,602,817,157,565,629,
118,671,723,586,374,053,178,755,062,535,063,967,869,169,192,433,749,240,611,
120,147,468,481,312,940,724,567,892,420,577,743,296,227,396,789,126,090,414,
869,582,666,887,534,397,739,880,035,637,064,368,817,329,734,670,330,774,595,
345,367,907,937,751,865,890,439,686,566,191,906,376,989,742,757,523,123,194,
928,166,792,070,061,593,473,955,202,883,145,908,281,199,113,690,893,031,436,
345,298,525,151,036,138,778,691,659,876,875,038,464,412,737,522,012,549,501,
217,865,920,013,880,354,981,847,575,468,722,435,596,429,526,987,123,459,756,
630,170,688,879,759,640,675,558,885,482,925,608,319,230,618,892,204,331,442,
660,355,157,282,096,148,019,794,196,038,382,471,832,299,618,651,295,847,817,
501,981,114,019,757,167,271,153,444,474,086,794,306,278,250,946,598,681,967,
780,224,662,711,699,110,999,387,338,118,222,207,819,552,359,623,702,963,582,
312,494,540,686,633,635,675,536,764,886,647,723,383,160,458,269,779,885,549,
448,545,215,759,105,763,410,438,628,555,476,248,986,258,368,228,797,723,110,
839,378,296,014,267,461,993,793,823,454,948,320,960,730,551,749,784,020,500,
220,119,413,831,590,351,085,257,818,929,688,998,512,900,073,334,656,814,065,
715,817,270,375,952,325,809,021,185,646,713,901,223,035,062,658,068,653,870,
567,758,165,587,188,522,447,909,689,232,261,908,009,004,401,862,625,151,570,
021,552,589,772,315,698,031,383,479,672,206,673,361,790,721,306,057,436,239,
247,967,075,919,295,605,543,215,302,666,481,300,540,117,351,714,348,329,819,
128,330,758,484,073,496,727,931,747,602,738,812,808,939,949,646,642,445,330,
601,188,151,862,867,666,235,243,602,711,297,672,611,198,862,648,431,373,198,
017,468,158,491,914,638,599,840,975,591,084,341,504,750,830,994,505,933,734,
162,884,387,972,862,878,871,244,965,667,029,238,392,271,157,301,489,437,250,
043,180,933,019,590,708,572,409,412,007,251,344,930,027,929,656,796,187,353,
937,046,566,523,764,957,987,637,258,751,186,234,016,197,934,049,982,465,452,
785,866,441,995,373,377,669,748,343,510,189,338,615,495,906,707,902,929,164,
453,419,209,634,578,756,481,305,037,239,233,316,326,107,006,960,917,432,056,
960,889,758,694,287,425,732,180,859,636,489,693,743,236,391,515,402,564,559,
867,778,317,385,297,381,392,327,152,362,837,837,317,114,627,287,570,166,067,
340,750,130,375,099,641,025,307,345,393,418,114,105,300,934,978,553,476,140,
380,290,571,128,872,179,884,741,569,552,261,698,539,847,881,158,120,858,538,
734,678,963,950,637,366,603,710,017,619,960,300,292,328,761,593,289,966,103,
572,646,215,962,322,125,978,318,675,482,929,537,093,292,952,469,099,306,359,
764,556,055,986,273,796,109,057,486,599,926,936,967,186,647,075,924,901,245,
296,023,264,813,888,520,975,039,418,993,471,477,567,543,423,801,450,746,325,
621,517,617,457,226,419,527,341,033,195,297,876,896,299,507,337,893,195,225,
296,329,757,244,145,917,969,788,937,057,173,032,508,756,547,362,056,565,727,
359,591,653,397,552,410,645,528,922,581,629,413,426,703,472,228,834,571,392,
601,776,873,566,755,803,439,311,107,797,997,110,295,741,341,917,979,935,463,
948,984,882,143,422,460,472,307,665,276,357,104,786,867,611,540,850,264,321,
322,132,999,569,048,761,338,157,048,344,907,605,377,376,932,758,845,245,509,
338,293,962,421,995,498,994,425,381,201,148,424,932,474,325,812,001,089,880,
164,304,899,289,126,231,156,965,780,892,564,860,884,054,355,246,863,840,223,
216,629,999,049,641,764,595,518,931,913,481,881,729,395,532,472,303,746,224,
411,796,212,799,636,815,460,651,507,259,233,689,620,168,576,235,971,762,002,
244,689,592,975,080,212,295,599,086,857,869,210,809,521,938,609,698,004,784,
383,024,123,381,883,616,459,203,533,436,113,712,099,112,957,453,011,401,065,
323,953,091,171,659,573,830,063,097,237,565,607,583,088,077,758,168,805,056,
377,794,689,820,486,653,917,942,755,917,514,402,974,855,619,945,229,926,395,
794,776,104,235,278,385,357,401,050,152,133,983,128,840,094,230,325,451,083,
228,908,550,519,438,637,323,999,710,547,829,717,491,316,131,668,994,962,725,
144,493,226,645,160,606,531,620,403,299,305,018,436,560,737,796,207,049,158,
431,615,962,472,685,828,797,253,020,858,586,464,365,929,309,027,729,167,280,
491,222,782,783,154,832,271,851,761,653,749,963,788,229,134,304,738,311,102,
194,863,076,364,430,643,282,595,313,505,978,389,545,392,349,827,447,635,152,
522,184,301,726,323,112,054,948,465,858,335,583,573,456,913,323,910,432,826,
634,321,564,386,085,022,477,021,921,342,060,745,734,938,635,898,624,351,532,
688,691,958,574,371,775,014,985,453,453,464,533,121,596,020,729,823,993,268,
709,770,827,481,522,478,943,927,528,067,210,016,065,354,752,879,875,999,792,
699,544,881,086,838,199,659,266,899,683,360,696,589,530,423,491,894,318,448,
421,360,864,540,581,366,459,072,027,253,978,488,720,961,702,766,097,005,701,
019,838,457,849,143,935,214,615,714,435,635,874,328,279,885,960,813,187,185,
743,633,983,297,146,974,667,394,803,286,465,688,766,225,916,403,380,101,378,
961,729,055,044,962,311,395,327,917,132,547,113,864,374,494,118,877,254,558,
553,468,171,338,579,939,276,395,922,047,537,923,828,097,566,503,142,838,409,
599,767,638,447,964,891,240,399,474,625,362,135,348,860,135,030,103,551,807,
601,801,615,012,082,176,164,370,240,725,783,846,907,226,746,939,239,103,992,
445,433,081,495,160,968,841,377,591,245,398,542,063,921,088,565,436,724,698,
612,653,892,207,530,560,385,231,715,232,712,740,174,427,129,364,924,426,717,
875,661,962,007,588,467,124,527,648,127,679,023,710,429,168,511,512,311,564,
177,870,264,809,482,345,620,211,058,039,636,152,275,575,698,537,873,546,803,
337,535,167,510,928,955,387,595,200,490,361,306,217,181,593,720,858,602,307,
940,177,147,138,958,893,218,065,436,266,043,733,558,928,692,510,017,858,469,
468,710,492,297,334,238,303,610,112,983,746,014,356,557,522,461,638,496,672,
144,273,336,375,456,616,729,743,989,997,783,230,336,716,373,188,213,315,651,
833,021,274,680,712,426,580,082,964,427,463,650,308,206,746,686,766,644,326,
040,319,875,505,901,502,857,742,991,816,314,257,789,973,488,794,756,596,210,
534,056,488,668,155,902,634,026,352,244,386,210,295,872,089,438,181,323,060,
491,696,721,122,717,209,051,469,916,454,883,051,487,275,067,608,974,993,605,
249,513,576,499,273,322,079,092,992,746,673,409,846,265,233,124,928,611,027,
204,326,640,566,452,308,570,274,344,340,575,045,603,323,660,302,105,700,568,
157,605,474,873,497,402,369,800,406,031,860,335,958,475,036,224,159,597,569,
038,579,068,680,371,276,605,970,281,649,125,890,783,852,552,800,868,413,223,
125,580,466,412,545,045,117,615,515,958,268,144,940,124,174,620,546,290,309,
250,454,022,410,325,531,636,505,938,867,051,639,109,312,197,907,826,438,825,
998,258,216,639,877,687,203,296,602,628,161,301,069,077,163,339,314,337,511,
806,685,480,484,413,999,949,775,477,622,661,141,220,404,438,771,520,591,193,
818,532,020,639,150,514,193,283,002,588,695,357,403,350,565,176,156,914,733,
504,520,177,805,205,488,103,245,536,603,310,206,548,240,842,886,344,384,275,
663,557,251,744,975,593,213,698,828,773,844,273,246,002,266,251,914,960,804,
982,836,708,509,247,576,179,942,875,330,469,381,910,755,006,837,481,812,944,
212,448,037,916,461,998,325,274,562,528,412,405,470,250,790,556,151,945,704,
965,824,219,601,125,684,110,977,876,974,841,476,163,239,240,133,260,798,224,
300,149,622,228,194,481,925,078,449,428,497,312,563,957,254,644,447,276,810,
002,069,885,565,531,416,490,448,084,740,617,414,483,101,514,365,424,371,944,
723,292,849,819,965,704,895,406,975,409,301,084,023,562,378,850,945,291,998,
974,020,649,527,841,447,444,435,690,763,549,779,829,101,535,666,251,640,464,
700,545,741,012,276,798,399,624,778,368,480,146,635,659,146,239,004,185,089,
519,191,701,201,367,082,235,946,963,126,580,036,530,419,333,458,108,801,125,
752,390,992,939,279,938,038,508,003,360,425,175,339,877,388,642,706,930,033,
148,001,477,154,342,865,875,069,468,853,051,776,545,262,748,271,775,196,049,
842,854,491,418,752,825,591,968,692,963,452,457,481,077,003,606,303,265,878,
420,377,969,899,226,845,016,912,181,103,138,239,565,165,634,788,024,692,306,
463,330,426,075,127,017,006,032,339,664,227,951,312,106,703,614,409,843,479,
142,748,074,821,154,553,712,822,040,358,707,503,938,858,467,588,701,558,497,
652,696,683,820,818,627,532,996,511,348,748,797,006,048,135,622,084,881,465,
664,354,641,889,623,501,191,242,287,372,734,859,118,299,671,202,711,975,091,
462,117,857,060,888,240,034,308,051,043,559,677,185,835,348,511,558,024,293,
676,360,999,851,030,561,867,987,515,590,493,813,013,925,412,590,330,066,174,
411,251,183,462,517,137,203,259,473,539,096,586,209,399,237,643,426,277,007,
646,028,721,309,390,471,147,281,282,896,452,300,593,115,414,751,134,072,664,
000,090,403,804,243,394,694,392,614,951,883,541,152,255,626,922,888,961,919,
303,160,823,092,966,131,523,645,199,464,372,775,428,835,829,623,083,298,124,
702,187,460,465,092,419,992,460,464,715,986,501,700,945,777,601,430,091,445,
257,863,688,336,636,877,375,186,518,025,348,276,242,978,357,692,829,888,005,
384,312,614,188,267,955,677,993,190,902,374,660,661,395,424,800,441,366,416,
199,098,296,556,181,531,932,427,203,592,944,124,824,963,274,329,903,564,104,
753,262,093,811,232,304,211,598,732,766,394,664,423,973,634,096,440,267,462,
705,646,958,987,394,703,208,160,306,255,074,415,807,374,062,898,014,624,452,
675,074,862,825,761,989,596,969,217,686,029,587,628,921,506,906,366,128,079,
285,925,651,061,814,980,546,533,311,309,945,124,426,620,377,410,541,192,682,
957,352,390,373,414,029,451,320,661,839,090,365,314,758,336,157,316,918,084,
176,884,737,354,184,418,409,251,131,025,301,209,524,616,662,366,774,603,412,
681,361,038,028,517,363,881,010,210,580,047,031,486,199,066,177,105,020,529,
741,568,632,120,949,652,257,700,375,733,635,801,290,493,258,229,765,658,157,
890,358,233,799,901,392,078,870,306,970,737,723,195,830,182,308,930,312,803,
378,685,782,390,198,878,219,579,773,016,028,709,603,474,221,342,446,091,557,
263,270,342,960,903,367,978,057,057,197,271,194,420,234,082,756,012,734,510,
622,623,603,336,309,132,843,743,921,550,781,234,489,732,979,027,610,479,581,
740,432,776,545,022,569,211,565,022,434,691,004,917,002,354,866,674,816,099,
432,472,706,480,298,669,578,152,506,453,812,430,790,591,589,627,266,966,720,
562,861,447,131,657,144,039,323,220,100,015,750,794,949,205,348,612,688,687,
294,673,140,261,893,739,407,258,431,336,470,292,217,692,796,609,960,837,893,
745,963,711,661,593,111,376,088,501,148,796,989,239,596,263,313,384,869,527,
454,547,132,553,013,960,996,534,913,761,831,438,759,138,260,525,627,554,855,
441,757,215,328,838,884,694,333,333,360,421,596,640,455,537,388,089,033,140,
002,898,087,816,839,679,046,913,259,066,503,713,294,338,434,226,931,969,446,
615,207,212,932,850,314,514,897,731,750,416,039,121,052,971,521,255,833,442,
614,165,080,964,433,641,206,186,618,122,822,992,270,465,875,858,600,183,553,
742,666,980,168,745,454,416,664,459,478,627,518,003,504,124,944,972,695,868,
605,283,756,487,273,380,769,803,114,415,770,922,984,144,047,787,829,279,281,
263,367,746,808,827,269,119,045,670,315,166,440,104,012,167,439,209,111,713,
429,370,678,163,548,129,164,284,545,455,010,422,098,048,116,369,949,428,201,
889,277,408,481,147,602,173,459,569,796,557,846,699,175,389,075,471,339,216,
046,616,964,952,270,613,217,027,394,424,739,362,005,104,387,822,285,212,121,
739,505,152,984,397,771,954,162,427,974,134,370,222,046,558,941,850,940,851,
743,652,220,553,904,488,372,715,402,794,717,023,038,072,144,489,628,580,747,
661,593,776,957,993,964,866,074,621,699,821,252,908,090,590,468,921,383,228,
810,516,800,272,322,932,154,191,617,405,209,190,991,450,360,258,665,972,721,
820,621,565,240,172,771,824,255,915,637,927,277,209,670,144,168,407,670,096,
563,864,364,657,858,571,784,959,775,446,193,285,799,760,345,192,500,418,143,
378,288,122,958,040,344,665,314,661,311,745,118,061,663,125,599,348,283,020,
482,371,126,959,390,601,796,985,275,831,915,466,091,881,574,324,183,055,565,
170,248,848,216,289,878,288,174,173,506,759,314,020,340,853,167,905,546,031,
169,742,815,122,255,135,429,798,601,663,881,356,483,951,807,063,969,295,741,
816,872,292,524,474,261,242,673,519,617,975,721,683,078,864,890,919,105,928,
532,580,516,067,066,330,695,049,295,657,368,987,598,172,297,474,849,097,752,
333,181,445,233,116,159,418,961,375,580,257,617,074,337,071,314,006,639,607,
910,056,301,447,397,281,325,843,829,561,100,912,568,075,048,127,085,699,890,
819,175,010,577,341,875,250,654,333,544,689,355,659,387,955,917,330,652,043,
653,332,920,137,051,162,929,227,315,353,466,098,969,973,398,115,101,152,073,
431,078,850,652,801,867,655,121,403,731,153,750,209,465,422,574,330,266,258,
368,040,919,195,285,746,166,582,991,099,391,430,468,715,615,259,447,726,290,
614,710,463,095,892,434,807,780,735,938,683,680,002,314,292,549,255,945,015,
776,034,831,690,782,206,882,097,314,106,749,484,584,558,667,213,461,606,106,
010,526,411,125,614,437,491,102,428,594,122,904,670,369,475,976,740,303,523,
496,681,188,048,454,155,009,794,107,937,999,236,631,138,811,460,777,309,797,
146,158,527,181,971,775,067,900,428,573,778,928,068,442,096,741,448,650,086,
565,395,959,194,449,447,153,460,541,639,460,856,580,142,012,005,593,601,886,
496,986,725,395,634,093,219,199,004,169,055,829,967,867,985,200,318,931,850,
480,261,924,842,052,671,059,786,227,118,879,836,457,283,073,169,198,725,057,
456,604,575,861,100,890,974,300,265,080,560,704,864,247,604,334,153,792,602,
111,009,087,664,306,288,820,636,777,848,701,397,046,848,085,011,213,913,245,
388,389,484,913,295,758,329,333,808,971,058,896,023,566,575,266,667,638,291,
314,113,597,358,228,492,417,738,770,419,851,640,595,587,178,976,904,222,342,
110,191,553,923,961,139,424,142,214,101,110,610,747,820,237,904,309,473,603,
208,968,625,444,132,942,221,105,371,367,272,880,587,833,949,425,321,120,239,
754,343,588,576,929,755,236,000,669,504,573,628,578,064,880,709,265,748,830,
577,630,895,792,524,089,004,549,880,970,137,838,258,536,986,709,755,902,819,
074,225,010,406,946,986,969,880,122,768,608,333,871,429,737,145,849,192,002,
197,244,429,220,157,642,567,360,624,059,141,135,523,967,166,839,079,707,429,
273,480,510,888,012,486,307,744,538,225,570,279,640,440,953,945,267,136,721,
608,060,617,626,229,502,126,215,767,212,172,706,362,492,286,008,258,474,274,
385,723,537,253,842,445,420,201,451,646,493,395,206,751,087,717,486,001,391,
410,907,895,325,410,380,086,139,701,789,997,743,441,654,503,704,312,064,780,
626,920,226,604,154,870,992,566,605,022,571,095,809,303,026,382,458,638,323,
230,369,053,549,487,526,533,035,917,871,426,506,363,969,901,751,448,179,995,
574,278,532,126,173,059,858,578,510,418,537,279,744,961,550,391,037,018,625,
567,826,064,920,484,500,084,311,452,233,171,991,036,877,897,689,699,900,492,
899,178,758,011,153,715,611,465,313,729,941,022,465,361,376,576,061,575,279,
688,279,390,896,187,622,791,745,789,836,706,551,934,952,685,899,118,504,725,
066,020,661,641,385,933,475,352,734,589,247,978,868,054,040,125,914,026,014,
695,687,105,304,596,328,972,316,485,691,633,623,667,988,394,629,341,612,958,
549,818,278,404,977,232,130,058,395,063,319,993,751,672,637,141,264,332,682,
959,588,393,260,208,761,768,930,773,214,866,184,382,125,548,017,035,344,594,
890,871,205,725,832,169,421,305,958,007,611,825,451,589,293,789,455,636,530,
338,644,186,866,171,728,116,497,405,009,217,420,902,849,085,342,786,400,275,
490,286,764,054,101,613,447,312,576,656,844,045,326,053,730,597,308,976,420,
252,761,456,591,688,333,100,805,233,103,720,409,134,746,526,988,968,837,344,
039,129,407,302,226,780,869,412,421,508,782,342,116,456,457,903,326,681,200,
597,666,327,825,486,922,017,678,762,072,405,300,124,791,967,134,409,724,922,
686,855,469,718,740,342,095,110,143,134,023,462,034,629,611,265,879,146,482,
089,596,414,067,630,610,855,846,475,842,135,201,528,702,871,521,139,652,702,
330,411,450,991,149,498,395,581,521,513,534,978,688,806,176,656,212,479,608,
521,437,524,391,154,824,176,787,339,471,187,299,281,487,640,494,979,136,190,
383,892,161,225,963,227,265,893,596,219,766,692,934,204,524,116,255,243,898,
000,007,770,379,648,992,060,725,266,415,310,439,875,022,269,066,468,173,065,
974,093,770,605,010,626,915,403,626,652,853,591,001,971,419,272,867,274,699,
884,047,825,814,451,340,568,139,221,289,906,133,465,245,441,218,544,824,125,
850,750,555,098,085,867,236,859,242,163,559,283,435,897,578,247,360,677,810,
419,750,747,996,685,707,462,585,495,294,342,733,686,305,411,633,554,774,225,
096,422,971,809,442,623,709,128,063,462,193,539,623,091,749,587,925,048,546,
144,604,268,052,530,409,273,421,140,613,757,234,475,021,668,452,856,495,941,
575,427,449,958,724,982,165,615,564,169,181,478,385,074,416,851,632,377,341,
428,608,061,913,147,483,972,670,346,467,271,228,013,541,411,954,702,716,018,
386,498,575,724,952,656,212,573,161,651,972,239,162,624,218,832,664,640,197,
481,642,044,027,931,997,422,443,636,241,269,230,906,593,450,685,001,029,616,
775,247,061,319,303,437,874,658,090,574,162,902,606,334,795,819,128,572,117,
583,485,896,294,621,903,909,713,257,637,629,034,650,726,599,344,467,578,106,
704,888,644,342,583,753,118,574,787,094,650,564,434,259,264,291,377,825,438,
244,518,615,338,080,080,925,736,523,743,448,177,056,466,640,162,673,440,774,
748,476,771,237,342,347,276,015,885,563,728,068,851,950,758,099,611,494,844,
355,038,183,389,936,936,321,528,537,315,069,544,050,282,826,477,088,362,554,
563,647,462,906,357,609,515,750,604,696,505,537,948,212,137,560,200,577,554,
940,381,401,470,412,873,717,869,939,661,445,916,431,192,020,787,973,189,952,
424,855,653,568,534,168,503,266,118,640,939,078,387,994,972,838,516,634,002,
375,987,947,660,137,942,928,881,091,014,251,048,087,588,162,147,939,107,863,
053,388,211,147,089,111,994,977,113,838,671,347,490,143,244,027,521,997,387,
019,195,548,930,149,940,745,450,558,515,042,537,018,523,124,853,309,106,467,
272,783,162,523,033,885,155,945,459,669,822,076,164,238,884,400,554,935,160,
383,940,122,446,961,709,423,637,204,427,228,917,731,201,964,915,861,984,589,
712,601,517,196,851,835,420,157,683,761,286,985,229,674,932,604,453,456,366,
448,868,380,874,935,109,047,981,401,219,311,145,716,709,038,801,684,104,035,
051,174,294,288,130,762,836,670,244,126,329,349,911,359,862,720,272,414,623,
838,153,509,494,995,401,468,170,676,325,655,955,717,303,574,047,794,681,410,
901,196,598,954,576,754,843,871,957,425,187,391,315,035,240,409,666,495,034,
052,447,881,465,152,401,196,414,708,383,701,279,274,393,406,432,642,664,596,
905,509,537,193,128,001,921,067,495,189,421,082,108,757,440,197,137,736,117,
525,189,402,109,924,364,610,924,269,674,811,502,883,755,632,304,011,982,451,
529,711,059,462,527,416,841,117,524,324,571,870,849,171,319,284,929,722,074,
426,487,254,815,381,361,101,647,685,178,910,823,241,660,672,577,742,098,867,
578,382,554,605,283,655,832,550,337,293,049,511,853,630,022,946,496,940,240,
341,617,813,208,192,273,556,327,367,562,893,892,248,733,959,112,654,831,781,
508,305,480,672,531,427,034,625,411,602,536,719,163,549,832,179,782,210,675,
372,712,516,398,788,589,476,964,913,320,399,726,156,685,015,980,958,955,442,
372,235,425,176,960,316,836,651,236,085,970,598,811,414,261,960,125,069,441,
836,370,912,568,974,412,675,324,059,710,500,559,035,810,566,345,428,180,275,
210,001,344,230,910,888,471,430,936,247,889,480,952,484,283,695,616,324,867,
061,238,685,444,045,272,606,441,404,910,990,300,316,119,527,900,982,338,124,
797,571,857,373,894,975,434,910,347,954,847,176,481,633,310,326,744,678,512,
632,309,955,659,489,922,785,427,280,579,681,975,706,574,894,811,667,885,419,
793,804,857,863,120,796,037,465,410,769,911,787,646,313,322,622,311,604,771,
902,209,332,362,169,329,222,622,239,221,505,009,225,626,248,449,214,190,325,
868,344,508,338,223,208,091,463,842,621,785,364,719,513,746,810,925,577,534,
169,280,150,029,791,681,014,504,094,881,548,922,182,607,965,048,429,364,186,
367,939,337,624,291,347,258,204,330,750,009,969,325,910,567,976,225,426,902,
815,581,589,053,420,555,432,553,088,297,678,312,596,069,466,976,252,617,979,
709,592,239,689,341,566,951,845,802,414,343,785,223,792,343,686,677,190,972,
162,868,516,224,260,999,339,899,796,952,003,984,621,689,375,820,253,258,205,
185,481,488,607,776,830,281,142,145,916,321,973,005,518,966,217,020,666,855,
806,588,713,790,369,662,626,205,027,454,252,017,570,407,888,020,166,411,008,
109,224,753,153,358,602,148,767,377,220,550,131,159,358,440,780,666,448,293,
639,870,180,562,560,763,690,281,876,506,584,474,268,155,173,848,791,466,771,
885,476,477,176,547,357,572,323,736,766,285,656,499,423,518,686,958,733,523,
669,253,900,398,513,903,076,610,835,195,707,881,322,155,212,137,441,880,281,
285,313,928,066,913,877,861,902,696,466,914,805,078,789,362,373,119,023,636,
522,630,197,567,541,759,664,348,300,304,010,223,021,764,468,542,097,202,148,
617,582,100,476,576,172,752,607,355,816,500,684,200,473,455,274,083,345,176,
272,764,763,632,023,388,370,935,150,836,209,835,757,938,315,797,802,259,905,
602,512,975,071,821,762,183,284,167,943,012,106,108,098,165,880,069,958,859,
628,683,448,427,565,576,488,554,791,368,188,907,939,435,763,432,252,251,308,
232,782,631,912,550,532,163,728,311,204,685,917,749,728,611,213,725,205,977,
540,072,973,681,123,411,427,711,873,975,779,885,148,332,132,608,314,567,077,
507,188,413,239,458,370,726,565,353,859,701,930,100,342,122,217,184,816,979,
623,438,109,289,313,849,451,262,076,205,049,320,894,536,744,950,738,934,898,
037,123,577,319,002,945,234,108,619,636,653,829,626,164,511,508,392,562,375,
343,831,882,675,890,560,299,099,803,015,725,377,927,962,307,161,429,550,214,
554,779,431,213,852,937,619,633,887,398,223,542,051,952,737,263,892,638,962,
339,194,945,900,121,148,857,462,554,233,253,477,849,956,713,632,732,780,688,
088,905,063,633,357,857,577,384,765,510,274,468,483,463,598,716,591,751,275,
702,462,884,425,164,410,178,627,417,425,119,564,528,555,768,938,646,081,295,
643,376,703,925,889,773,630,130,736,313,492,027,204,814,941,334,954,059,896,
544,089,061,547,742,880,062,890,442,871,601,108,643,270,284,728,565,229,946,
263,501,938,299,087,506,995,161,225,078,635,566,355,294,319,644,375,011,767,
996,979,295,522,625,422,719,176,796,455,692,447,550,124,115,282,196,122,574,
598,142,192,348,877,362,948,037,367,173,021,858,887,535,205,843,510,128,828,
129,737,305,333,244,544,666,596,334,700,668,718,695,345,849,973,730,745,827,
461,551,262,724,151,006,573,709,356,664,192,243,663,777,217,669,576,745,529,
666,955,130,503,682,400,186,377,208,451,094,174,677,804,263,100,303,917,823,
818,598,325,031,009,721,816,142,241,273,661,332,709,642,790,852,164,365,412,
624,086,890,952,194,319,306,339,289,926,372,797,613,456,761,952,060,178,283,
582,032,678,396,221,701,985,345,683,609,057,167,030,496,072,120,170,824,378,
634,297,228,557,928,640,146,607,834,149,529,765,892,799,208,688,213,772,763,
024,889,891,499,650,950,574,341,490,525,188,829,066,343,643,748,686,297,957,
963,936,189,693,097,613,066,430,914,869,810,215,214,093,724,144,092,480,710,
845,241,001,325,384,519,191,338,492,238,555,743,154,347,083,935,133,129,245,
379,078,613,875,075,969,003,162,728,909,567,471,325,770,258,505,959,602,813,
810,773,725,057,736,558,556,973,527,905,766,749,047,400,286,161,658,636,401,
023,340,224,271,454,441,722,798,992,349,375,846,953,712,324,552,138,006,573,
148,902,894,224,693,269,408,521,650,911,060,872,927,259,334,916,952,795,202,
419,617,876,760,941,322,887,469,177,626,041,305,094,312,562,321,083,837,605,
798,525,056,585,839,347,362,278,652,480,374,530,357,184,187,356,978,987,829,
245,468,784,940,045,474,001,978,930,349,345,826,420,507,401,082,242,010,958,
118,050,113,903,592,773,024,032,892,501,466,676,632,827,049,632,177,289,612,
314,551,892,186,114,312,926,534,447,840,193,154,077,757,019,642,334,207,611,
063,191,346,049,464,366,293,786,339,973,808,087,860,942,361,227,467,463,505,
930,872,792,632,202,226,650,106,393,935,599,035,868,418,141,769,458,152,028,
498,684,864,875,414,363,373,619,051,471,040,922,643,213,818,782,364,949,923,
840,506,484,139,899,601,643,095,228,208,010,654,059,267,833,534,299,880,801,
327,073,370,133,803,341,190,020,382,510,715,613,348,199,291,585,998,977,187,
463,903,350,714,891,894,616,817,004,533,734,683,221,052,083,493,894,603,831,
265,909,246,668,839,757,851,267,216,244,988,069,822,602,582,492,982,362,263,
798,721,033,670,391,940,584,202,737,789,985,944,975,015,212,709,722,735,003,
234,708,711,140,140,415,153,570,860,170,314,585,245,607,774,092,429,141,821,
643,606,821,116,061,652,969,677,593,483,661,224,537,280,967,281,306,890,921,
827,057,071,408,986,855,797,071,108,823,676,322,614,912,402,645,539,437,605,
081,454,229,802,496,231,200,602,026,556,085,721,942,706,272,981,301,028,271,
613,542,465,750,880,226,258,594,158,735,291,334,400,981,986,877,162,816,563,
674,076,007,893,549,156,967,190,365,459,463,262,204,050,674,219,061,945,609,
504,838,792,982,811,543,942,957,971,040,825,575,280,855,393,567,735,478,089,
230,821,612,492,225,549,679,000,405,643,127,544,776,221,480,304,109,420,905,
562,273,418,626,317,004,330,309,940,183,699,831,206,964,464,137,619,496,000,
056,891,623,417,285,233,518,360,952,438,963,278,549,513,634,453,482,077,597,
231,862,450,647,898,805,872,857,279,772,785,006,211,261,894,687,687,048,941,
439,000,367,977,015,823,872,387,332,270,679,024,717,716,455,652,463,821,405,
966,693,748,361,026,123,373,173,757,203,685,466,083,355,087,223,658,777,151,
306,705,746,993,735,885,071,472,449,400,151,017,285,621,957,396,964,172,238,
888,275,307,771,171,657,969,340,972,952,000,352,093,016,547,294,425,780,527,
919,513,157,293,182,975,681,811,684,883,735,381,251,053,444,805,182,656,020,
507,115,665,941,284,845,186,291,000,535,004,422,308,817,046,467,070,569,160,
926,916,332,494,806,346,974,473,668,864,163,816,373,274,622,450,426,998,914,
587,471,090,050,664,980,192,308,935,765,671,415,288,425,808,289,691,988,310,
664,200,177,563,061,904,931,172,797,514,814,033,137,876,413,480,963,655,918,
685,362,269,634,035,729,840,435,825,871,074,370,496,945,000,699,381,399,251,
715,708,121,844,275,926,561,551,620,969,089,879,255,430,003,440,099,357,469,
416,054,665,697,984,742,176,270,168,477,205,902,375,555,626,242,673,541,894,
460,390,677,117,606,018,882,418,809,023,538,603,655,088,087,669,675,879,437,
371,331,302,763,131,626,374,054,662,176,317,588,340,962,040,847,635,117,599,
345,705,712,402,317,184,867,115,551,814,737,437,119,294,015,922,407,763,463,
152,217,075,419,074,850,516,081,564,231,758,703,027,264,181,279,183,635,148,
100,273,227,268,896,191,925,899,990,573,218,683,091,894,685,340,390,568,550,
212,557,610,404,143,675,741,371,998,602,604,223,053,524,099,509,246,072,071,
451,441,506,701,554,821,073,620,290,078,065,052,619,710,762,553,533,864,385,
902,454,546,994,073,675,877,461,557,878,150,767,439,990,691,616,382,957,272,
897,942,821,566,286,229,801,281,890,147,795,592,805,663,378,384,712,880,828,
080,114,478,083,070,911,429,919,542,422,824,605,512,382,317,485,312,573,845,
331,169,082,456,917,350,090,783,457,648,604,744,120,472,687,560,853,115,247,
205,349,013,239,537,811,038,681,036,549,615,927,526,763,047,204,568,475,466,
517,923,872,089,651,678,674,529,053,878,608,742,926,576,794,138,389,307,750,
443,334,467,012,535,973,836,815,422,216,562,264,495,283,585,808,606,227,490,
087,066,733,568,558,734,920,490,378,598,170,398,844,000,691,124,800,080,870,
677,010,123,856,603,870,002,255,240,668,525,509,569,651,092,692,493,800,721,
913,858,077,335,889,883,682,703,048,765,939,931,923,807,713,459,413,360,397,
281,878,522,932,545,177,182,592,269,587,117,201,801,568,510,980,600,545,946,
040,275,309,788,214,885,516,368,837,862,389,363,754,697,838,657,250,694,940,
792,820,120,557,364,771,913,155,977,912,353,591,815,694,660,095,890,628,802,
308,320,219,725,455,750,843,536,977,110,559,744,151,414,571,571,185,076,415,
813,249,366,390,038,269,278,510,271,867,038,677,717,925,903,453,773,680,317,
057,369,436,659,801,117,654,794,277,746,866,671,792,689,850,089,408,806,095,
480,844,617,806,793,244,418,228,977,559,631,776,415,305,682,800,575,959,896,
076,871,803,858,959,855,074,290,457,845,970,986,653,122,226,004,349,521,549,
649,123,198,300,539,095,020,806,743,058,882,454,228,354,243,585,177,948,570,
450,714,806,103,612,242,231,572,035,231,472,087,522,192,689,423,902,604,179,
504,467,795,215,530,861,696,852,861,547,391,355,590,630,694,480,712,908,966,
908,023,044,596,861,196,570,239,850,824,671,819,441,774,548,850,466,880,974,
255,651,292,572,372,914,506,565,726,669,680,195,511,037,774,818,424,941,975,
560,580,553,146,862,658,226,327,434,831,597,530,490,012,962,431,807,494,135,
852,635,922,358,066,231,750,947,366,352,268,488,349,829,098,592,284,252,691,
571,686,041,471,241,402,948,234,413,655,388,752,958,242,930,470,972,132,782,
597,242,308,463,702,573,574,490,404,708,230,878,771,698,629,499,317,740,654,
503,158,426,987,288,914,442,466,421,688,571,361,082,119,198,996,448,196,878,
527,561,537,561,913,460,775,653,479,855,705,343,297,670,980,068,938,287,374,
048,882,609,291,150,881,567,166,937,944,454,922,955,266,956,726,545,913,471,
986,479,823,194,392,268,562,426,810,485,487,269,175,074,437,579,335,502,581,
212,594,921,454,613,069,184,697,346,903,035,474,887,829,072,416,545,588,297,
328,785,878,453,611,286,590,865,260,777,019,716,685,494,983,502,891,728,448,
644,075,763,746,179,144,972,631,307,690,914,850,712,177,548,417,031,126,764,
520,172,995,151,956,916,044,544,233,567,324,055,935,797,268,317,440,627,843,
984,136,705,390,852,137,620,575,385,223,595,185,989,166,363,458,322,182,872,
243,893,193,749,573,588,968,509,744,721,667,652,311,215,554,573,876,267,757,
152,289,847,515,529,839,848,958,127,634,869,790,118,647,520,441,339,598,485,
624,395,049,221,824,993,846,040,833,520,554,495,474,125,580,077,467,551,465,
506,609,395,726,450,136,883,601,823,312,461,332,125,419,286,876,460,242,118,
025,785,421,326,192,200,991,248,901,507,462,372,339,350,194,714,393,774,560,
889,126,033,271,534,403,952,726,867,410,796,303,420,597,870,245,223,865,704,
269,659,995,150,486,948,312,330,963,648,591,014,701,487,407,046,009,672,823,
540,918,405,614,389,704,040,230,722,126,936,354,971,856,572,669,584,131,870,
714,589,376,560,851,934,057,440,299,092,569,308,816,743,787,697,216,590,628,
090,825,456,641,647,081,227,308,848,735,696,509,804,203,727,505,766,415,271,
476,368,168,385,078,384,107,157,053,227,525,250,402,016,976,069,014,480,332,
522,429,465,011,495,209,500,582,857,868,479,722,276,239,819,765,207,559,571,
865,355,668,042,640,186,151,983,869,208,479,470,355,820,129,389,894,999,501,
874,089,948,521,731,325,445,503,055,812,658,109,009,513,455,524,985,559,111,
701,890,967,752,864,954,808,163,105,322,062,363,128,364,200,130,812,877,045,
980,675,607,511,831,098,313,926,326,276,249,314,613,559,119,364,388,122,467,
606,656,383,526,983,279,948,410,309,582,429,528,642,238,196,321,588,487,058,
624,263,736,760,714,121,818,518,967,842,917,068,706,165,581,846,295,692,978,
281,593,156,613,059,105,763,279,098,216,817,629,766,898,341,965,901,554,103,
502,415,946,641,809,448,591,138,149,063,082,290,333,364,092,940,350,134,188,
448,768,377,970,770,231,719,941,688,028,533,233,870,003,089,716,124,287,588,
540,843,504,629,128,264,813,535,814,973,634,260,196,065,038,077,368,293,194,
204,473,761,468,583,379,649,096,730,523,389,499,788,456,445,737,085,172,230,
669,749,428,871,099,122,757,448,258,462,658,951,074,509,062,044,350,182,414,
422,407,925,969,666,246,349,663,312,514,811,733,561,731,128,650,747,216,319,
510,466,669,958,802,352,713,385,830,209,521,472,633,665,816,522,604,949,277,
015,427,600,823,758,435,529,969,132,096,523,848,637,815,864,977,307,509,385,
701,112,898,065,878,852,239,111,405,373,905,884,675,656,851,223,819,354,831,
264,048,817,135,370,144,586,606,480,901,653,094,851,024,601,827,576,669,483,
648,211,170,773,696,865,352,992,602,734,395,756,907,857,758,421,280,128,447,
161,018,434,642,189,441,552,347,067,596,408,695,000,742,410,297,064,291,221,
662,481,882,852,493,620,233,344,274,586,883,641,682,539,451,426,807,201,675,
443,375,913,484,878,575,821,478,536,020,911,538,795,969,298,786,174,491,592,
166,047,734,883,008,218,808,703,254,857,622,545,704,518,316,418,009,657,095,
087,763,335,906,221,543,282,571,538,468,754,006,938,011,985,016,185,456,512,
287,974,380,564,976,801,809,338,517,028,644,043,551,625,442,104,046,884,029,
378,410,047,176,944,479,269,771,677,426,102,072,003,025,973,221,090,215,679,
324,358,660,240,343,817,198,770,685,514,665,287,514,795,462,454,756,045,134,
350,355,550,168,033,473,970,129,046,609,058,699,346,229,841,380,034,933,446,
065,070,662,017,667,298,022,723,765,772,010,527,246,651,441,436,206,278,481,
818,920,142,920,781,846,208,138,004,247,984,346,725,560,633,590,954,775,782,
217,250,818,127,125,847,480,061,158,467,697,574,033,494,382,510,642,934,455,
712,537,502,304,645,107,163,983,339,330,099,222,926,817,923,462,740,515,179,
263,993,752,160,217,689,045,498,427,077,265,956,972,622,533,718,684,867,353,
694,151,946,610,686,252,843,847,920,316,581,300,421,114,663,108,541,039,364,
450,766,055,671,026,388,730,183,976,134,682,031,781,979,548,297,806,799,059,
222,946,239,831,724,216,721,299,073,942,927,446,203,931,742,184,446,800,326,
964,073,055,957,460,012,434,844,276,445,069,742,143,214,618,247,516,855,388,
082,209,782,643,390,705,963,425,108,695,224,595,068,553,209,388,405,339,325,
109,406,395,916,082,701,004,026,953,158,807,772,478,515,587,564,379,664,341,
716,372,318,282,444,546,282,516,008,034,093,493,385,331,638,638,868,230,167,
378,149,835,327,448,778,856,573,138,141,443,297,304,691,328,485,652,431,190,
761,534,033,985,983,480,415,572,656,715,181,681,264,389,455,027,922,592,460,
127,311,156,386,847,881,647,886,833,793,192,190,265,990,591,644,332,502,756,
185,737,982,774,098,354,547,292,949,867,615,537,885,096,038,359,553,149,728,
237,556,304,133,490,727,970,009,261,793,887,898,131,372,658,910,489,785,481,
555,709,464,079,340,517,983,689,030,895,064,852,829,567,675,583,519,088,181,
238,676,665,353,716,085,349,434,954,304,462,376,044,843,977,825,944,614,891,
186,932,401,367,988,847,712,649,681,987,556,622,294,714,808,267,948,772,737,
359,313,785,069,991,692,981,361,391,267,619,883,802,422,425,451,636,925,586,
601,626,072,277,640,472,789,875,024,530,516,189,114,543,826,841,549,372,751,
313,022,780,943,328,051,680,085,300,904,564,939,218,573,416,170,804,033,957,
814,984,979,539,415,800,247,171,420,816,655,531,708,160,226,447,477,664,715,
587,757,454,387,374,526,205,030,068,943,914,641,715,811,361,990,796,307,302,
465,812,996,131,677,133,635,950,542,395,684,107,851,008,055,493,255,344,262,
231,309,346,018,274,597,344,808,273,222,931,204,443,810,538,745,794,529,556,
612,266,073,953,887,609,079,188,563,800,958,025,803,772,197,052,618,012,751,
537,681,640,986,845,425,905,316,800,924,719,537,822,145,198,851,770,689,943,
551,991,448,448,619,520,388,468,966,221,985,671,546,822,434,283,376,113,972,
584,237,004,977,611,899,828,153,468,103,098,255,563,021,433,591,076,161,583,
907,773,046,020,848,173,534,545,508,718,357,834,298,064,476,160,783,176,881,
435,489,282,128,632,365,580,080,474,990,913,755,904,287,550,129,598,714,579,
108,925,518,294,285,727,804,921,745,208,666,126,735,780,251,203,839,501,898,
890,720,745,296,933,527,000,370,800,983,791,667,423,416,190,204,206,459,859,
595,334,889,750,506,002,046,834,239,585,333,557,129,665,811,678,171,452,187,
832,027,435,993,038,198,696,580,520,282,406,878,840,564,359,126,968,122,546,
587,769,324,967,332,354,186,398,858,427,595,003,893,647,418,448,406,592,287,
153,441,800,272,029,260,971,857,027,777,594,513,139,154,501,786,624,340,628,
472,981,338,433,828,824,117,001,941,394,711,853,220,956,744,855,863,560,114,
253,203,110,770,231,212,855,214,360,611,635,150,017,330,453,139,342,451,041,
033,271,997,513,880,875,746,404,103,925,883,134,167,608,588,412,575,967,054,
706,864,475,209,399,611,478,896,584,853,542,441,552,697,153,337,383,197,944,
061,197,274,564,361,406,330,589,958,417,497,007,978,044,149,134,272,801,755,
135,386,571,468,611,257,781,134,643,260,271,943,446,262,621,675,311,921,903,
666,641,701,997,810,889,537,211,654,720,167,480,120,334,915,748,932,462,680,
671,244,719,288,069,258,239,360,879,850,102,359,578,483,983,246,376,572,793,
355,397,270,494,648,684,223,833,124,975,814,009,475,599,225,749,667,791,593,
308,371,511,701,630,045,835,192,258,939,448,599,165,694,461,963,595,962,486,
876,243,933,917,713,697,221,127,697,558,679,161,343,887,204,178,807,709,970,
264,615,279,305,036,081,186,169,362,991,502,044,684,589,745,666,350,078,974,
873,907,973,355,358,706,363,252,053,953,890,349,048,965,659,356,536,769,219,
358,393,082,216,015,029,833,814,382,083,018,195,875,200,753,629,219,156,422,
615,605,552,090,164,421,447,678,014,696,408,866,321,934,623,196,654,611,723,
071,769,571,535,224,930,176,041,181,877,156,066,535,644,447,535,512,254,893,
930,688,287,225,043,366,153,261,665,291,942,009,481,208,168,128,850,740,007,
115,906,328,385,249,975,684,942,578,741,858,741,825,824,295,681,055,119,972,
656,814,931,037,556,940,278,096,517,612,865,549,678,168,524,991,866,510,734,
516,591,244,110,121,969,113,140,245,387,444,510,133,505,816,499,745,597,939,
007,239,688,149,975,836,225,867,415,900,290,129,970,690,904,468,614,081,096,
876,059,417,450,812,625,713,279,640,278,740,436,439,629,328,171,082,108,207,
756,015,950,428,648,604,153,738,215,166,532,474,122,081,625,268,201,140,424,
440,437,547,019,229,895,786,167,720,591,148,991,003,402,899,940,851,549,567,
927,744,654,721,941,273,267,378,395,329,170,814,523,909,010,045,922,715,081,
907,708,440,411,616,947,510,113,470,683,721,597,042,871,617,010,343,872,300,
852,384,592,191,709,186,153,054,575,950,064,165,634,757,945,769,908,206,835,
116,816,463,738,451,801,840,960,639,234,478,105,942,291,181,604,481,996,177,
641,857,168,122,982,698,077,321,056,150,039,962,895,270,973,382,599,334,753,
244,878,398,221,247,716,043,025,549,144,019,375,450,803,487,139,917,827,933,
139,436,467,885,874,750,702,914,804,570,715,063,635,462,391,788,249,785,051,
959,889,059,829,112,173,869,912,924,975,404,745,269,358,665,687,387,684,753,
971,334,256,954,810,554,657,974,064,344,171,395,848,060,180,426,901,548,339,
391,460,268,034,074,413,361,885,724,103,665,390,036,405,829,891,609,807,643,
849,969,060,938,464,831,407,086,855,454,886,692,461,557,067,827,684,569,379,
878,719,748,864,300,813,397,782,630,993,024,846,368,359,147,442,256,934,907,
112,503,184,691,926,928,234,857,257,994,321,400,591,993,622,700,506,752,439,
304,380,193,384,622,506,684,497,851,256,858,114,322,088,257,581,616,807,102,
029,477,657,997,724,978,812,010,757,436,672,392,836,210,001,180,422,735,895,
571,031,322,046,910,585,036,449,316,187,369,508,894,978,442,251,832,139,920,
895,455,279,103,516,266,759,691,835,823,179,916,788,538,110,314,420,149,891,
241,629,699,593,665,141,608,767,967,373,680,779,528,951,610,904,175,489,348,
281,812,175,886,244,910,573,343,109,547,116,607,298,360,974,595,029,984,826,
636,076,643,366,032,689,041,113,728,056,433,298,597,063,290,293,178,777,649,
797,524,005,407,003,725,942,753,665,231,831,171,532,299,517,664,411,336,143,
756,651,990,112,474,942,810,187,538,535,239,311,184,753,666,757,491,478,340,
429,595,418,054,043,682,555,477,066,670,659,181,788,447,515,786,032,565,387,
191,898,910,745,304,295,396,385,323,572,575,316,858,549,307,277,770,495,577,
921,321,104,527,028,781,522,979,320,518,437,649,563,492,671,771,286,479,960,
826,920,548,342,619,659,433,018,413,819,834,931,321,528,673,851,997,630,603,
062,021,382,361,903,989,780,793,664,512,924,279,285,803,306,721,425,142,154,
374,168,131,639,862,508,437,719,649,159,938,173,906,162,948,389,667,923,365,
684,367,344,631,477,680,610,403,466,260,617,685,360,802,849,061,462,369,614,
144,051,479,585,463,248,177,177,091,628,483,756,067,190,109,679,276,287,185,
502,027,843,874,865,858,026,190,341,904,728,288,995,820,281,088,388,927,866,
182,180,500,479,013,943,427,563,399,462,979,426,523,088,625,557,830,830,137,
152,234,349,067,268,317,926,220,940,033,933,860,702,581,899,305,434,798,968,
522,410,312,450,558,329,169,134,171,063,824,193,254,700,828,218,466,340,233,
764,590,618,538,473,206,079,023,302,402,053,806,658,724,436,316,495,572,095,
405,846,131,152,361,608,298,174,540,798,274,102,148,865,119,331,120,387,921,
064,071,017,275,984,994,311,595,694,637,475,021,404,308,751,683,930,188,717,
915,300,842,432,429,374,433,790,107,245,297,076,261,319,189,832,030,483,907,
845,413,205,351,527,290,537,434,573,504,448,554,424,321,743,128,041,855,485,
031,159,692,136,018,659,004,146,403,582,931,121,417,297,874,943,756,398,576,
268,024,330,619,534,554,171,376,482,175,281,976,210,091,462,739,346,940,027,
813,006,515,843,422,017,333,907,608,709,143,829,588,503,401,828,233,404,970,
638,324,506,211,487,256,064,216,881,474,058,305,546,710,955,104,919,014,874,
271,908,101,490,546,065,826,161,283,886,063,112,006,495,445,528,741,791,381,
703,604,432,652,807,682,368,398,246,140,471,856,130,295,807,681,315,814,914,
832,516,222,384,828,158,155,845,196,015,104,932,477,233,839,150,590,158,862,
568,694,895,349,370,477,245,037,427,047,341,126,225,462,874,214,641,368,084,
336,731,356,964,377,774,368,221,197,273,821,421,613,138,967,022,115,549,293,
632,531,148,287,269,262,210,384,267,910,063,123,832,068,350,179,349,833,772,
845,294,794,739,998,509,826,503,807,905,729,616,980,687,299,970,259,105,069,
014,868,096,979,388,243,103,076,764,120,339,676,538,616,371,123,389,451,301,
615,990,473,872,730,342,946,481,046,922,280,743,519,943,634,465,472,148,552,
810,699,495,721,893,951,831,271,055,614,387,648,314,192,636,218,441,469,295,
378,454,742,155,793,570,169,664,173,050,362,974,780,761,764,313,347,253,252,
861,001,723,519,993,257,083,293,480,489,585,645,238,702,255,610,882,579,319,
672,111,852,930,515,720,558,222,872,647,762,616,416,779,122,624,404,560,653,
670,807,758,193,704,282,245,287,439,148,230,380,090,881,852,432,585,432,358,
515,944,567,288,969,503,272,116,118,362,677,448,867,109,685,716,039,723,811,
134,019,031,960,199,650,466,321,684,182,555,802,757,580,948,413,328,754,082,
623,372,176,891,561,391,206,104,305,042,036,553,243,047,886,870,411,045,366,
680,331,433,462,684,041,956,451,028,336,659,565,650,717,789,521,376,704,297,
245,481,561,232,754,335,604,461,995,465,066,925,931,102,596,025,177,228,743,
122,564,727,796,205,075,190,700,050,086,971,254,606,888,360,370,739,219,459,
900,445,482,851,996,268,002,630,426,473,317,822,749,040,490,601,695,035,613,
789,974,184,884,808,194,075,198,835,884,453,694,382,210,263,545,004,680,080,
117,708,273,992,646,500,247,777,144,358,810,830,994,700,429,105,269,564,748,
284,040,046,165,543,627,842,406,112,413,087,244,046,303,643,437,358,707,019,
484,816,326,976,950,669,882,357,546,269,185,800,508,475,431,360,462,185,485,
809,022,785,030,250,828,118,764,758,678,212,269,710,056,624,825,723,744,085,
489,000,306,141,092,452,216,328,439,061,622,881,871,969,558,917,758,394,264,
786,038,348,355,503,501,767,851,500,490,470,387,056,327,889,861,375,355,647,
848,047,689,127,751,952,988,075,801,940,867,212,793,036,149,872,714,135,616,
527,047,488,508,541,488,792,407,777,395,601,905,845,060,568,206,718,046,860,
691,725,113,150,780,344,092,262,027,993,736,045,746,730,488,656,402,795,281,
820,252,616,547,466,463,946,067,760,800,113,313,314,892,939,040,321,355,028,
411,071,197,694,743,368,843,152,173,145,501,494,308,328,393,475,013,795,346,
291,319,135,089,748,257,444,106,885,246,383,903,982,668,169,193,875,182,449,
202,503,860,089,485,712,741,664,397,560,774,884,146,488,243,167,896,802,040,
535,593,070,135,988,511,388,278,179,468,955,718,406,751,490,747,469,394,301,
143,830,278,587,108,391,387,518,969,552,978,001,540,872,322,012,540,147,030,
194,638,010,454,526,597,715,177,014,222,987,136,129,515,150,366,813,305,419,
947,362,684,639,955,791,687,024,394,977,386,287,239,967,735,938,574,790,159,
491,615,256,687,660,746,159,646,278,700,908,789,699,215,451,196,688,765,557,
940,220,582,627,509,146,696,521,351,956,109,613,164,243,702,292,786,142,954,
977,191,826,104,397,183,523,900,372,166,734,084,828,884,998,226,729,395,091,
849,437,657,027,569,435,282,055,088,415,229,627,137,081,077,835,436,121,381,
740,037,123,305,680,252,707,100,173,846,686,506,210,283,968,358,880,598,838,
936,945,641,400,031,877,594,149,249,640,954,997,089,934,488,772,499,400,325,
781,043,665,098,631,570,825,603,599,792,370,322,764,226,007,883,212,087,032,
611,769,036,425,289,669,518,666,751,112,173,208,509,274,279,779,142,053,405,
882,823,713,286,961,446,354,379,812,038,005,190,334,059,368,283,475,013,375,
767,354,684,193,954,205,574,544,472,943,010,700,399,165,276,669,471,308,787,
196,959,754,348,578,109,234,826,302,328,008,254,336,767,433,481,570,805,741,
588,151,418,246,168,673,453,333,657,128,153,381,859,411,944,207,284,703,992,
842,522,383,849,801,879,572,474,904,953,327,890,997,070,072,011,896,435,967,
365,898,538,619,859,005,942,933,951,910,201,899,891,772,390,504,992,407,502,
594,922,899,621,279,334,906,493,077,567,314,574,769,846,467,812,659,840,335,
127,650,154,959,002,958,093,112,608,078,092,108,136,581,606,414,777,481,026,
810,919,389,352,972,968,322,837,229,116,227,208,552,854,544,735,053,717,178,
541,949,878,328,735,590,402,847,643,984,090,266,698,060,352,821,924,963,473,
997,847,775,471,473,954,389,575,108,362,666,313,684,269,378,295,229,130,718,
278,931,878,443,917,863,880,447,028,987,757,463,122,167,232,852,770,955,824,
438,608,022,188,218,835,376,630,585,118,482,170,892,970,794,071,293,263,461,
784,435,427,145,905,313,917,741,529,988,157,941,505,456,644,815,293,926,175,
457,935,499,581,604,184,493,486,161,531,695,508,432,803,476,256,218,168,141,
135,801,561,294,753,309,058,352,101,722,838,411,810,051,965,977,747,427,579,
708,348,554,805,356,688,311,691,109,265,331,590,730,726,925,021,428,692,791,
058,945,190,425,937,169,416,464,340,267,133,537,543,092,427,780,066,213,612,
217,954,177,507,243,548,183,342,912,860,176,136,642,780,320,676,264,948,504,
761,491,964,592,624,687,333,093,327,486,104,419,967,158,715,682,330,100,885,
236,821,682,640,562,462,277,859,074,630,365,394,505,764,893,507,639,248,775,
388,291,509,518,898,145,245,094,600,317,508,701,086,566,808,546,328,670,147,
537,196,607,222,220,325,697,763,415,002,450,850,405,905,327,651,872,906,852,
985,121,203,953,625,954,415,933,806,529,957,088,315,123,085,351,194,414,386,
701,437,944,734,166,759,420,824,771,414,116,903,218,514,951,153,388,078,115,
433,459,872,129,047,556,044,424,054,618,278,305,428,417,686,552,738,551,128,
384,603,755,546,723,813,151,403,648,804,756,890,336,162,598,813,809,760,570,
559,622,584,680,227,805,464,220,448,432,118,934,588,421,812,371,315,718,147,
667,829,753,571,427,248,230,382,637,285,786,594,298,019,180,935,789,349,430,
671,317,690,570,527,380,000,401,446,356,745,668,239,570,592,062,852,934,161,
726,968,282,190,795,217,622,788,291,127,596,417,085,934,236,542,225,666,657,
911,197,125,190,599,950,994,032,375,832,496,880,358,106,035,920,008,499,044,
749,875,545,834,353,333,065,938,084,762,314,913,840,941,512,800,027,021,333,
822,444,503,576,869,123,329,795,675,672,807,589,536,162,900,684,367,180,762,
399,010,581,271,040,008,829,912,574,237,981,175,173,575,663,713,241,727,192,
597,459,255,302,506,723,995,043,936,889,762,299,619,696,881,852,876,620,278,
017,897,879,290,285,196,685,098,201,912,520,693,320,348,997,344,904,787,302,
963,051,481,899,935,548,329,752,420,639,406,528,453,446,986,024,057,369,330,
068,410,907,447,463,490,826,981,807,714,514,660,436,205,417,219,313,360,200,
449,365,113,953,945,680,421,631,207,410,125,225,673,383,678,544,686,724,333,
600,495,286,109,184,437,424,538,223,384,129,700,411,909,375,533,494,756,904,
805,512,075,233,299,969,136,488,638,288,967,958,178,402,837,063,398,999,873,
323,664,587,810,010,135,797,013,065,936,989,547,999,070,384,242,386,607,087,
286,564,848,097,863,643,349,382,769,423,552,613,399,297,752,615,776,770,792,
295,074,688,724,992,093,817,624,218,731,418,798,504,857,766,492,391,577,063,
084,900,486,642,558,277,232,364,877,888,216,771,600,877,217,110,857,783,746,
930,219,140,285,474,765,934,333,758,286,346,023,084,923,809,484,704,929,077,
254,283,736,792,372,686,124,416,498,015,010,624,140,048,891,970,319,230,300,
614,757,727,935,270,372,972,005,919,143,869,159,179,278,956,674,744,626,639,
086,554,039,604,874,873,536,977,267,118,089,795,655,361,486,376,669,610,660,
643,026,990,036,197,885,658,901,643,554,351,999,830,685,498,425,830,826,519,
475,539,878,058,168,715,850,864,744,317,300,568,114,528,859,590,858,090,831,
508,246,210,472,409,389,619,371,877,634,195,069,848,982,793,700,093,517,845,
744,001,981,711,416,270,084,585,302,540,613,510,298,017,008,487,944,488,971,
047,852,776,935,292,664,549,417,709,238,025,295,928,615,867,901,397,939,871,
043,991,639,513,742,904,234,622,486,255,811,470,940,787,797,763,938,495,121,
946,677,636,991,234,545,281,791,306,204,983,014,172,567,596,378,342,184,369,
812,265,205,094,780,709,950,932,702,781,869,778,894,677,071,174,625,298,255,
168,675,138,133,240,116,374,826,444,205,646,121,408,275,361,994,290,167,909,
880,370,055,329,953,211,119,354,346,563,372,810,203,870,483,947,689,179,328,
904,039,352,233,473,184,704,470,181,350,190,343,120,781,855,099,131,075,468,
118,021,522,701,216,145,532,426,004,130,500,722,211,839,557,974,849,907,295,
146,612,103,631,624,614,802,381,626,829,167,866,695,724,117,155,536,912,564,
962,771,143,053,510,829,028,647,434,654,195,093,437,863,454,955,011,071,590,
367,033,185,491,334,893,845,007,482,428,333,880,119,680,761,608,203,718,738,
806,606,402,722,561,218,151,825,360,315,042,915,248,696,708,901,765,636,141,
395,142,654,080,326,387,235,512,208,893,147,924,245,627,698,991,325,351,689,
166,850,140,654,549,182,185,707,525,781,599,864,832,963,445,580,072,643,377,
568,441,030,344,477,857,344,791,318,496,409,952,237,161,978,882,053,183,527,
244,482,487,622,704,136,667,420,538,372,079,362,307,343,164,835,451,969,769,
505,458,392,513,014,498,994,609,744,667,125,504,703,546,591,090,602,182,567,
934,236,141,189,642,405,121,811,916,101,610,479,529,086,625,483,195,785,564,
782,757,674,971,678,306,376,974,251,415,230,663,667,820,235,463,784,502,207,
020,409,067,670,443,695,339,362,820,157,216,686,998,787,960,438,491,831,159,
374,182,341,724,856,340,416,861,200,492,586,854,482,548,548,658,521,794,409,
023,566,216,050,642,184,372,487,749,187,910,217,595,081,339,038,438,239,707,
305,607,580,476,849,167,112,350,587,520,354,103,408,101,102,472,443,866,708,
977,497,982,245,188,448,611,976,345,992,113,926,942,936,188,668,899,936,940,
671,244,966,325,624,319,766,257,816,312,099,110,497,324,073,752,324,636,994,
540,370,436,402,028,490,884,195,304,390,472,440,222,527,759,006,172,261,601,
148,726,077,632,776,629,888,656,722,526,929,129,325,146,787,526,059,662,942,
388,269,573,715,534,210,346,195,333,023,525,932,525,209,070,036,613,621,975,
518,254,109,186,663,616,765,710,676,904,615,856,519,706,289,896,778,064,324,
360,653,509,291,885,236,330,882,742,813,273,357,646,260,297,151,735,613,616,
186,540,239,407,176,329,169,276,772,457,250,034,838,785,508,361,594,316,561,
687,036,911,617,317,981,401,098,765,440,345,901,057,597,593,113,225,418,925,
807,873,003,735,662,910,650,572,120,832,626,887,081,865,846,383,694,313,608,
669,584,580,916,561,138,950,934,635,509,497,485,386,230,900,270,933,939,130,
772,220,968,280,679,533,745,986,661,563,414,655,521,680,433,376,202,259,641,
458,904,690,239,686,500,851,322,781,647,722,796,335,882,742,753,352,464,918,
538,137,804,479,128,974,405,594,190,148,363,836,291,797,692,332,382,447,420,
803,948,641,226,049,218,129,408,061,299,996,863,185,694,035,493,578,043,370,
175,918,070,032,817,781,727,255,830,353,154,434,586,628,967,679,388,100,834,
275,669,367,684,278,226,801,987,293,673,177,099,739,300,940,943,696,849,393,
075,056,134,997,953,741,218,279,968,138,140,437,927,181,327,852,952,965,904,
134,456,947,918,158,044,735,112,578,144,929,873,546,487,805,390,760,731,053,
050,968,196,869,862,564,564,515,224,594,868,444,861,564,032,158,541,706,692,
419,783,009,395,825,171,879,999,499,147,424,623,736,012,385,521,798,484,006,
957,319,078,688,724,068,090,215,525,161,723,053,547,744,452,671,279,533,307,
200,819,832,439,559,201,334,210,416,856,805,223,940,307,986,221,636,942,788,
620,658,582,044,437,868,301,653,224,024,954,187,266,655,770,892,420,708,169,
685,665,417,299,346,439,591,899,448,516,123,342,869,019,029,381,693,029,201,
563,480,965,855,690,851,412,835,335,336,578,526,124,806,248,272,925,123,486,
624,660,038,572,049,193,940,332,766,616,210,089,392,732,161,027,696,635,320,
477,749,454,481,219,801,811,201,911,263,810,164,849,562,196,143,800,697,033,
875,071,030,860,207,237,275,898,665,878,570,202,976,778,224,248,175,403,373,
373,046,258,285,951,000,900,114,329,137,043,789,320,954,015,481,866,303,990,
370,728,452,091,252,155,501,785,982,133,455,248,836,536,108,227,378,793,251,
690,778,829,970,339,743,728,715,678,993,008,285,955,674,971,102,620,204,021,
513,060,179,987,013,885,898,612,369,656,739,632,769,412,259,781,506,313,933,
671,943,519,902,417,813,723,009,534,443,198,539,215,597,883,552,987,582,464,
433,373,244,055,705,016,154,878,662,302,756,531,555,465,574,041,153,981,838,
414,839,825,907,317,058,047,943,898,557,893,917,424,372,201,990,542,748,783,
190,830,221,112,889,088,265,839,289,857,805,147,739,013,127,108,650,206,165,
221,815,295,761,619,989,563,606,426,638,097,756,703,411,157,177,348,484,679,
077,474,144,748,263,767,433,490,250,421,577,495,595,526,787,571,215,029,584,
940,229,340,402,530,216,994,670,274,705,212,376,760,826,660,278,389,438,774,
885,684,232,433,206,289,247,754,015,886,632,813,440,217,999,419,090,207,875,
151,833,789,179,029,083,961,181,158,934,654,202,055,619,443,205,194,287,308,
073,031,344,521,544,430,747,602,384,121,442,259,629,690,631,777,628,151,340,
510,227,650,614,915,118,634,862,073,122,180,706,032,840,578,925,122,164,423,
730,162,437,134,056,623,816,422,016,910,414,779,665,260,417,543,691,843,883,
568,667,178,523,353,474,124,447,087,017,270,831,525,799,439,098,802,918,340,
499,511,752,872,982,973,752,103,794,364,879,785,488,846,368,113,004,607,808,
598,469,324,381,541,055,958,271,423,974,792,563,407,381,931,280,340,060,194,
888,351,528,113,927,284,312,088,431,765,007,773,204,690,774,089,683,485,037,
202,423,922,157,121,512,272,944,970,708,192,012,942,873,540,006,251,248,661,
260,689,999,449,229,842,714,109,600,155,939,382,031,780,541,911,153,485,169,
422,862,268,737,451,197,670,268,251,185,652,562,564,058,133,352,079,769,497,
955,234,605,244,158,662,610,004,459,474,530,912,290,577,222,209,672,684,903,
108,850,577,508,043,009,730,007,752,534,925,937,353,768,591,697,950,347,625,
175,114,543,340,415,021,415,260,015,256,840,618,178,473,321,615,074,725,486,
466,893,956,391,461,841,795,199,161,891,954,657,028,585,684,608,381,519,510,
675,267,622,787,099,484,320,193,095,181,696,736,996,718,615,777,603,171,594,
102,826,645,579,604,147,465,711,002,971,148,373,773,171,487,277,863,734,907,
106,282,979,626,790,468,922,981,630,935,334,863,621,722,050,268,432,666,831,
446,279,169,066,275,583,883,003,978,152,139,005,408,679,677,557,753,211,671,
494,052,516,180,529,484,163,679,466,030,204,808,827,494,745,231,904,669,481,
634,059,256,274,826,751,710,868,289,572,239,393,871,959,285,453,237,737,803,
167,306,065,099,191,243,033,402,633,299,976,610,837,498,363,516,038,297,409,
562,279,470,349,240,087,084,697,930,914,599,317,497,498,589,674,866,144,278,
199,537,121,502,210,320,218,970,435,777,766,560,545,830,261,107,379,348,215,
749,530,663,816,140,493,364,324,096,627,817,468,696,024,405,678,273,710,628,
105,084,674,560,470,392,782,545,346,393,653,442,221,589,609,393,557,096,884,
099,116,185,081,330,492,785,998,454,466,130,973,668,552,355,171,380,461,954,
690,304,255,137,097,127,383,768,859,092,319,043,073,572,433,532,333,177,791,
441,133,671,796,873,167,986,057,821,722,181,969,449,215,217,201,329,066,860,
254,497,826,212,783,321,190,135,680,496,082,974,820,191,362,538,720,009,425,
037,574,872,281,847,673,065,583,685,791,904,828,867,959,418,331,100,607,266,
612,128,473,786,834,710,140,413,183,228,043,522,760,928,290,452,231,663,384,
032,663,327,910,375,884,536,470,441,828,928,568,564,068,641,122,298,633,314,
119,067,649,184,263,056,309,080,653,299,104,149,458,178,529,547,360,585,514,
919,651,560,862,213,885,115,443,880,509,330,378,331,295,768,496,012,620,205,
804,851,990,033,454,671,948,460,786,858,243,431,837,737,784,479,832,631,830,
015,057,672,634,241,477,282,482,920,317,794,975,370,815,133,676,687,944,138,
477,835,858,635,164,361,303,931,563,907,642,472,398,543,734,275,184,554,275,
649,574,593,471,527,468,719,307,006,108,151,339,994,936,908,455,916,456,979,
748,079,584,810,999,095,263,653,029,850,223,360,276,648,972,332,464,155,726,
787,477,008,297,349,137,911,411,573,817,188,343,353,992,559,855,264,738,474,
120,929,784,791,515,298,938,935,612,014,375,990,488,908,633,487,744,091,853,
400,913,128,170,606,847,464,441,090,127,610,371,832,864,824,139,543,413,270,
388,459,952,584,925,232,406,460,663,155,552,582,077,251,924,383,458,359,385,
962,970,519,717,303,272,730,846,441,521,194,764,762,029,429,673,629,841,069,
034,947,369,197,857,291,476,470,378,948,365,961,326,372,078,451,000,730,571,
510,585,040,783,470,864,817,526,038,487,635,131,644,969,659,664,918,493,311,
421,698,567,773,611,093,289,947,112,879,200,876,512,826,208,718,402,983,097,
323,378,086,499,115,306,186,207,021,402,167,322,798,755,762,043,832,395,872,
235,698,106,668,718,255,277,038,221,427,130,942,297,476,446,618,349,569,346,
573,092,014,081,326,132,310,095,730,475,459,204,758,882,673,295,176,493,845,
811,047,116,817,330,100,132,582,488,632,329,251,944,888,164,360,895,492,950,
169,112,787,473,400,085,033,697,737,414,860,842,106,096,554,267,977,753,857,
023,844,103,975,277,928,058,700,890,880,702,620,762,413,242,247,361,069,391,
331,633,972,579,414,612,664,597,423,491,092,992,292,179,881,087,690,558,404,
834,987,405,511,479,567,371,015,976,545,468,423,279,853,238,905,151,418,069,
531,172,462,439,294,895,697,699,440,745,855,327,150,054,261,904,640,509,481,
270,754,816,616,952,173,153,729,885,419,769,970,975,034,960,802,887,425,730,
653,839,623,729,258,790,674,974,619,821,341,727,010,341,928,992,764,561,671,
444,433,836,413,294,128,421,356,515,460,583,698,369,047,994,842,514,963,892,
433,116,351,320,600,661,587,744,112,704,001,059,900,993,754,987,871,666,356,
932,341,186,896,643,710,400,070,829,810,313,527,315,944,752,274,442,400,426,
669,013,653,378,056,686,226,759,441,350,737,712,157,694,862,212,420,008,866,
509,204,051,503,110,455,412,853,546,405,642,373,571,414,038,650,228,408,674,
019,978,925,438,142,180,107,548,514,757,147,010,876,504,266,009,941,832,284,
301,352,240,928,820,725,803,338,858,018,092,665,096,392,165,487,255,699,360,
434,007,589,439,539,736,188,018,214,000,175,853,028,319,811,267,218,410,163,
723,622,791,320,480,676,210,042,405,214,292,631,519,981,660,940,632,579,092,
395,896,676,529,738,783,270,540,009,398,129,210,378,994,631,954,903,981,748,
105,392,941,288,879,609,869,896,417,990,941,673,438,041,162,842,611,691,402,
859,873,953,069,497,188,818,177,045,890,581,113,851,185,638,927,320,097,677,
508,238,816,075,476,939,416,791,145,625,680,568,288,468,125,254,525,582,488,
148,628,630,616,059,140,482,328,316,960,532,031,307,578,921,837,539,249,196,
976,125,219,835,996,534,562,089,338,093,489,685,477,841,684,644,869,218,763,
830,922,204,578,140,990,346,710,584,791,689,756,721,735,530,503,095,825,486,
449,948,366,685,388,377,033,096,062,575,021,183,063,329,306,640,502,554,097,
166,236,424,951,056,450,365,093,774,196,778,602,369,749,164,886,017,605,711,
708,197,065,546,623,076,788,143,260,456,041,408,100,603,379,016,770,485,290,
969,154,527,712,032,676,153,062,085,978,927,991,701,265,813,716,062,059,675,
910,501,927,839,475,880,555,089,263,149,177,862,353,970,848,451,400,344,630,
226,182,053,617,854,436,460,127,900,873,351,502,999,155,580,435,132,030,217,
003,264,144,014,203,326,002,019,540,475,359,846,289,953,296,820,042,615,072,
796,935,456,786,950,118,244,847,441,902,163,172,927,855,843,161,383,544,621,
575,917,626,046,405,481,475,899,465,725,180,992,546,759,787,388,417,654,274,
519,768,132,555,375,145,850,492,094,988,771,808,520,309,088,021,506,040,024,
653,786,892,295,380,320,188,430,837,566,973,282,028,419,925,408,977,358,969,
876,618,535,558,923,246,229,585,095,490,207,682,854,644,744,356,268,175,701,
619,747,811,287,602,398,873,017,794,357,076,735,032,846,658,663,819,441,073,
747,453,193,399,681,807,439,054,460,839,632,193,683,643,659,460,091,774,082,
995,864,697,972,854,854,517,343,700,678,521,022,266,100,824,025,512,502,044,
039,350,822,045,581,666,394,305,535,511,685,673,380,429,643,765,626,871,925,
692,385,656,795,217,124,362,041,727,492,915,601,975,702,541,066,244,632,854,
507,236,759,099,232,499,750,300,255,927,487,272,780,850,913,810,254,659,095,
651,459,244,557,860,634,371,355,329,829,330,091,302,014,262,060,908,824,147,
800,705,499,679,976,763,943,759,294,613,226,501,629,794,195,719,825,438,629,
029,108,130,089,247,545,617,113,672,510,271,625,512,727,886,398,137,945,174,
159,770,864,322,036,983,245,865,202,710,775,187,413,921,499,648,274,029,432,
532,087,397,981,139,281,000,275,857,576,476,586,464,121,295,833,369,776,088,
401,685,722,470,736,755,685,301,138,795,622,378,170,099,378,390,162,195,426,
824,126,791,207,340,892,247,358,603,442,604,080,964,417,032,162,578,637,485,
049,457,845,848,597,898,015,388,061,239,501,511,157,139,321,302,297,901,430,
945,496,056,970,468,242,985,071,571,607,573,649,376,084,672,605,628,593,211,
823,058,468,275,417,108,832,460,000,412,064,986,049,628,507,676,332,832,653,
504,956,102,535,982,816,813,196,528,522,625,326,380,135,110,273,646,835,230,
238,716,804,148,666,169,990,209,617,702,808,264,974,384,897,448,852,143,415,
960,069,753,046,481,547,342,723,986,524,695,033,491,605,981,514,898,726,051,
006,985,806,562,957,182,183,295,821,200,447,708,970,332,318,412,248,650,101,
800,842,051,144,851,641,120,394,701,478,573,128,294,723,323,166,139,775,963,
292,448,247,289,782,787,219,330,493,736,979,693,780,398,776,303,269,995,193,
407,396,604,298,901,889,697,777,338,470,389,751,312,577,162,092,720,186,256,
944,135,643,808,806,068,327,690,171,332,103,738,414,849,883,935,135,590,826,
700,969,276,603,246,850,137,847,488,221,152,324,706,252,961,270,172,224,245,
277,778,823,237,169,247,971,043,196,254,978,328,170,948,320,649,147,646,933,
274,778,345,904,514,359,727,006,969,640,497,373,906,430,764,302,644,013,323,
535,656,994,484,775,010,283,764,230,614,556,549,600,871,483,106,173,455,351,
570,027,322,973,112,804,054,447,227,773,512,472,441,654,824,606,242,836,144,
059,242,544,567,285,626,858,108,526,476,200,228,124,535,230,578,319,799,175,
890,153,463,676,967,993,379,218,271,642,532,839,630,027,801,403,297,804,062,
536,694,973,691,903,017,238,360,927,659,798,156,617,984,497,844,905,448,389,
421,151,117,840,252,437,134,893,985,081,928,663,602,078,388,103,463,245,898,
398,809,892,247,537,358,343,155,379,428,790,131,783,571,135,834,118,087,189,
811,357,859,272,182,044,126,614,241,670,329,764,755,528,851,073,352,621,870,
364,919,110,710,269,988,471,655,309,036,539,098,388,523,762,783,065,535,834,
720,862,190,483,193,364,637,824,202,164,867,113,094,031,406,220,840,625,922,
445,364,248,211,448,586,976,862,269,355,860,366,176,636,506,300,264,447,537,
180,731,778,877,689,918,793,112,202,372,275,833,927,113,034,770,328,368,282,
726,793,584,274,179,883,243,589,171,168,985,611,241,141,279,401,778,739,381,
270,302,837,816,809,840,003,628,693,832,938,167,318,279,613,509,379,464,057,
792,086,799,093,833,380,870,328,383,094,486,057,804,021,963,258,085,276,272,
866,094,083,713,599,484,890,213,486,294,045,213,038,394,903,134,648,879,119,
104,444,210,917,994,211,717,588,316,681,611,247,774,055,491,282,263,240,342,
432,516,769,067,921,080,606,427,678,508,920,220,303,197,998,743,978,297,930,
176,448,788,432,041,016,984,593,985,958,649,878,077,665,388,085,507,993,575,
475,671,989,897,009,626,205,609,947,313,644,728,412,481,447,755,884,385,697,
419,680,160,061,666,570,655,955,549,635,869,158,769,989,416,957,134,378,057,
626,108,362,570,137,872,222,354,826,287,661,119,864,340,281,093,014,057,234,
072,348,071,378,311,294,302,556,827,458,880,192,321,688,623,052,382,879,389,
143,366,595,366,779,075,072,811,601,865,828,780,175,586,181,257,673,952,369,
886,545,589,089,473,365,996,429,628,413,493,671,604,711,416,003,719,758,155,
749,461,649,768,028,473,535,930,164,321,429,243,987,745,611,587,330,176,696,
457,802,280,467,664,024,062,284,481,922,360,071,741,007,323,369,689,565,540,
218,714,971,179,236,285,789,822,248,217,649,406,789,843,858,835,275,702,487,
507,207,265,464,598,601,906,338,867,411,238,559,794,834,533,342,620,092,374,
121,695,723,654,592,221,216,598,812,872,352,104,433,328,130,999,845,527,288,
887,713,463,397,148,225,417,202,248,916,872,681,887,756,138,639,735,444,886,
909,941,976,689,262,136,597,829,449,195,697,865,485,768,875,987,604,102,659,
860,341,437,096,361,290,074,746,703,566,999,457,980,393,229,617,404,037,920,
388,770,947,984,336,250,572,957,313,672,828,455,011,669,884,731,189,792,389,
649,440,240,359,005,846,935,914,125,923,397,501,685,921,254,849,308,939,525,
172,338,847,207,691,371,807,590,494,740,644,825,633,343,277,403,263,892,600,
696,076,449,986,269,695,965,395,994,117,264,547,257,447,531,387,795,104,422,
051,224,934,394,706,099,851,134,288,531,800,694,739,222,677,615,243,766,249,
760,160,428,056,699,875,566,727,309,356,580,807,933,291,273,424,310,189,398,
102,884,427,882,025,049,562,235,011,838,239,814,498,493,787,446,809,968,197,
751,002,554,237,299,064,022,466,382,866,724,974,584,412,948,311,151,068,725,
071,924,031,344,072,811,205,008,829,299,892,580,614,111,888,280,170,145,435,
965,140,556,784,241,466,487,745,393,370,639,557,106,710,478,691,313,156,092,
021,473,662,142,344,794,963,209,464,789,762,015,441,109,211,104,673,636,980,
540,290,050,473,437,780,646,349,659,499,031,664,185,018,367,953,712,363,682,
247,206,017,482,562,691,395,114,881,575,861,486,354,199,493,738,997,602,790,
314,234,109,737,501,477,436,079,176,748,864,755,853,440,277,070,272,562,462,
895,330,510,710,858,589,759,896,690,691,138,069,974,612,014,317,635,901,337,
478,743,583,054,818,047,800,145,160,327,721,563,127,839,724,825,133,996,763,
421,330,798,195,360,781,682,466,806,653,006,667,371,606,145,483,015,776,362,
178,033,663,908,181,157,628,092,643,750,738,833,046,272,133,755,126,066,123,
808,695,699,075,368,543,581,816,058,025,289,384,478,093,991,055,915,416,055,
366,821,580,112,641,793,884,482,029,314,217,359,522,812,162,307,448,067,974,
405,042,127,055,274,493,532,469,753,725,163,461,571,596,946,724,050,704,905,
751,230,501,006,830,334,308,204,204,070,190,671,000,188,795,406,956,914,016,
668,950,398,964,899,163,136,535,136,486,101,473,804,304,904,872,819,774,574,
623,740,640,725,542,884,676,242,867,402,073,396,570,114,082,669,968,879,805,
358,181,253,334,124,545,027,493,192,664,240,970,331,624,256,686,774,275,834,
449,895,122,694,098,095,851,154,978,173,418,749,796,521,323,784,949,020,556,
682,207,518,231,078,848,690,243,174,306,393,286,048,372,962,810,607,171,165,
066,350,308,930,795,296,759,086,551,142,969,553,339,778,805,327,909,974,148,
806,835,059,086,186,835,239,345,706,375,719,622,509,711,719,895,909,639,153,
988,790,211,014,403,863,100,477,779,593,171,595,173,625,661,794,433,208,768,
720,904,933,134,989,858,890,923,808,471,348,490,680,742,856,550,321,470,383,
898,142,491,676,485,429,663,234,398,780,590,219,932,667,224,312,603,038,118,
794,705,204,691,926,310,870,135,404,038,542,350,603,799,057,484,858,923,124,
860,588,429,661,921,996,897,361,047,238,411,473,073,023,873,897,764,552,060,
623,939,555,603,696,621,020,120,388,818,426,937,385,272,583,324,168,013,585,
765,917,045,549,926,068,449,187,294,014,496,983,563,681,341,252,423,422,781,
270,234,495,482,860,927,358,606,194,659,414,478,960,770,358,468,031,043,985,
545,227,780,495,526,753,455,983,699,665,989,565,242,527,423,754,482,697,832,
595,035,669,010,757,371,129,476,029,055,004,322,237,029,156,151,192,688,957,
003,794,421,239,513,304,751,887,054,984,497,055,831,817,860,885,384,811,194,
777,374,294,879,398,070,985,333,323,940,374,637,896,953,410,979,686,155,144,
434,955,819,345,543,647,875,494,570,562,761,740,773,601,007,264,388,765,431,
858,784,064,186,147,409,301,968,224,582,451,771,738,361,783,134,917,165,061,
064,424,709,545,463,434,088,775,353,156,578,558,876,676,535,306,891,924,998,
099,703,121,481,842,421,161,314,058,746,259,816,917,980,474,819,604,835,902,
695,574,351,293,020,305,785,528,334,883,951,538,699,712,286,269,948,678,548,
001,648,598,544,623,311,887,894,312,312,023,246,787,783,943,185,604,258,670,
051,643,337,438,432,840,995,375,626,751,170,664,977,123,857,573,225,610,876,
331,937,442,162,854,958,435,139,032,230,842,914,476,062,465,278,986,555,918,
379,502,501,917,684,055,302,355,507,832,454,321,294,616,066,122,003,291,016,
649,790,792,152,253,446,493,235,609,760,979,370,874,976,680,672,169,104,843,
558,199,733,424,732,957,274,890,383,707,907,753,635,370,229,714,846,945,979,
161,715,702,621,354,519,494,852,249,691,451,849,684,924,740,902,503,074,056,
058,062,790,272,955,521,154,749,584,680,799,174,006,837,296,785,201,754,756,
116,625,561,806,522,280,733,492,520,590,702,177,677,599,365,416,750,696,255,
953,735,527,670,828,468,669,992,256,791,955,519,912,114,703,852,768,012,304,
888,058,929,318,457,799,888,940,248,285,459,847,207,642,101,910,685,389,914,
858,489,101,113,974,507,150,913,945,289,330,351,203,820,342,131,313,654,115,
981,249,604,835,422,019,784,418,825,111,474,103,599,150,881,310,824,192,974,
634,732,318,366,773,789,986,234,218,125,520,057,718,376,579,285,953,124,319,
533,115,578,176,697,715,435,830,699,525,581,667,321,878,100,914,182,459,647,
061,808,883,325,178,889,360,269,985,942,654,688,281,222,185,589,257,761,054,
286,067,123,843,350,332,654,289,004,634,751,618,869,247,422,800,503,850,401,
680,911,022,698,792,106,579,327,480,718,819,362,636,186,945,058,494,481,499,
635,423,709,628,593,482,707,166,891,629,207,351,091,073,775,771,805,239,476,
897,263,745,011,441,262,400,319,136,817,489,374,950,979,853,792,738,930,352,
558,458,581,964,346,739,667,241,514,799,733,531,769,078,970,115,831,946,936,
585,161,617,386,358,464,130,372,383,680,919,943,872,864,241,095,582,298,370,
031,736,681,524,595,752,651,247,419,610,804,093,002,660,194,834,600,744,687,
252,458,092,400,222,484,780,264,321,477,066,035,090,375,680,758,324,908,966,
028,806,979,485,660,825,978,948,430,169,026,841,578,624,508,692,827,310,798,
596,452,139,706,980,021,553,679,211,295,272,082,344,322,593,165,125,711,723,
237,456,292,064,104,939,967,470,206,874,975,696,177,421,192,378,794,755,564,
903,314,403,934,703,794,113,391,242,992,918,318,349,019,663,625,189,768,011,
766,432,887,926,689,435,864,550,436,022,820,856,811,196,079,122,683,975,687,
223,865,252,776,874,514,242,071,273,288,633,711,061,047,861,708,384,440,980,
651,637,289,078,021,632,797,904,125,899,656,453,177,295,556,275,504,668,570,
690,084,990,282,724,910,996,322,006,388,514,256,964,305,251,516,814,274,038,
608,027,530,631,109,219,488,364,674,099,960,690,131,387,115,920,206,713,392,
926,559,248,290,057,704,339,765,414,480,819,530,624,826,899,279,739,176,189,
642,586,082,348,641,587,589,032,541,780,002,407,386,547,478,906,287,663,012,
757,504,302,815,138,086,043,490,683,254,444,090,649,302,223,550,480,357,522,
030,901,599,512,499,003,984,016,981,115,338,974,654,834,585,505,978,588,997,
255,684,530,109,630,702,509,081,539,925,131,028,921,381,558,358,886,939,156,
526,819,087,678,697,743,399,586,569,161,582,551,292,160,202,345,963,119,912,
633,300,809,263,919,353,678,894,385,362,079,780,163,950,985,311,510,630,102,
675,809,139,291,604,471,584,242,458,228,472,149,741,807,452,593,311,225,949,
192,889,115,898,361,252,977,359,844,307,447,537,536,412,153,465,565,026,487,
846,377,146,714,578,000,856,986,034,885,347,568,229,718,744,190,208,439,320,
550,298,795,966,897,144,144,401,289,086,364,906,858,837,367,644,550,558,822,
110,267,091,044,645,130,669,482,079,512,541,084,135,861,535,172,109,903,147,
498,677,683,421,618,877,267,164,337,436,684,941,227,213,822,970,172,930,343,
448,826,372,737,727,762,445,182,831,733,184,098,387,105,641,810,145,361,572,
469,994,161,680,531,499,354,090,823,447,138,682,453,432,025,550,598,908,489,
425,879,517,371,871,205,414,666,654,970,348,041,141,797,715,574,634,213,558,
046,053,662,524,506,005,219,803,033,935,657,229,564,824,327,134,589,241,912,
823,142,084,699,326,822,822,984,116,699,452,056,378,710,765,889,266,399,583,
962,517,120,106,627,978,299,761,235,367,454,469,626,355,118,458,549,220,480,
484,755,275,583,225,289,291,984,382,194,938,858,810,099,099,998,570,777,427,
976,745,111,714,840,936,510,207,717,506,910,682,839,350,558,249,073,348,114,
260,239,197,263,090,889,801,426,947,694,104,038,345,316,125,007,134,476,608,
732,045,475,687,170,547,972,023,383,793,022,097,437,132,253,925,773,359,609,
363,496,996,790,586,233,655,828,011,228,653,596,935,725,893,947,289,373,469,
024,502,712,186,203,540,879,236,465,956,835,818,087,089,850,760,411,958,206,
708,189,567,802,539,113,165,439,914,656,055,809,361,606,536,858,726,789,999,
851,949,655,218,726,257,585,579,361,738,481,801,674,311,501,493,245,164,147,
419,083,471,632,128,455,565,021,279,072,624,198,747,735,796,773,748,056,473,
621,077,845,067,256,643,559,542,779,168,433,893,736,603,734,546,112,679,254,
008,835,223,897,751,206,483,425,518,412,126,194,614,706,712,420,603,673,467,
150,545,124,367,008,439,707,780,281,662,946,341,697,379,314,570,998,894,557,
942,775,222,619,347,487,247,252,473,030,293,508,445,377,793,023,573,761,888,
293,190,530,012,857,849,180,631,311,281,527,007,894,340,170,535,720,466,619,
720,074,556,117,098,525,197,180,849,013,442,528,019,187,776,029,383,222,201,
243,754,538,221,029,508,557,069,254,178,345,564,523,703,899,393,123,703,956,
429,392,879,564,877,689,100,671,934,462,543,313,287,920,605,536,577,822,879,
742,845,595,807,270,160,604,672,313,492,532,530,357,049,526,872,391,774,149,
950,840,607,061,326,791,834,964,280,318,984,131,137,524,242,305,117,774,958,
717,076,834,361,031,149,384,948,213,949,289,825,195,285,818,819,531,427,865,
362,450,772,862,705,293,393,588,701,958,175,932,409,835,396,332,562,789,573,
292,946,223,948,467,550,602,992,539,776,655,660,392,292,554,606,187,985,990,
227,849,774,206,120,281,497,006,234,470,791,307,935,243,923,956,894,547,434,
128,278,109,006,419,995,254,585,738,475,456,910,106,492,969,563,412,547,806,
041,959,033,952,726,643,360,547,671,527,837,418,019,211,126,240,346,983,244,
959,170,736,980,563,197,409,548,190,804,684,383,017,185,600,215,850,550,054,
353,824,449,119,153,188,862,566,931,262,459,514,508,015,752,902,092,094,583,
638,584,346,550,177,884,251,175,651,625,303,911,049,095,159,305,842,929,233,
522,223,536,790,085,640,405,688,049,695,510,080,509,171,741,199,677,806,624,
852,197,194,593,973,152,448,165,422,350,587,786,437,178,230,876,463,032,475,
496,408,720,820,115,002,548,795,226,181,792,342,578,020,886,286,944,946,445,
171,216,921,179,650,862,218,492,417,653,924,419,221,414,731,203,658,946,352,
433,935,045,355,052,955,683,401,303,662,340,622,479,106,260,128,862,993,219,
263,867,592,636,076,881,184,084,646,853,740,018,180,979,564,794,728,925,083,
538,210,270,983,099,162,699,321,255,904,000,797,386,936,499,426,074,292,232,
357,582,205,496,773,154,796,257,829,940,290,448,866,049,988,302,457,378,219,
256,985,765,116,158,500,602,329,447,003,276,237,340,274,939,730,549,801,597,
156,252,999,399,289,171,692,569,613,472,839,588,225,568,169,600,697,550,519,
556,081,543,467,161,967,755,403,453,264,544,933,422,747,225,534,473,250,943,
655,500,133,742,668,658,965,801,546,627,628,808,398,549,446,478,898,939,526,
182,942,395,850,223,383,131,681,363,638,696,656,811,018,331,751,813,092,244,
280,183,072,178,222,205,411,669,467,362,071,562,472,612,259,254,284,060,852,
708,984,665,981,119,018,874,379,812,562,174,123,709,835,766,543,473,990,955,
086,501,060,288,076,730,127,031,381,041,870,388,395,651,637,860,768,585,829,
119,735,532,049,244,363,741,375,792,660,753,053,341,383,390,476,413,175,458,
434,495,113,696,324,994,252,435,677,963,138,655,438,400,251,558,873,108,674,
826,564,901,545,222,627,757,035,727,371,995,634,018,480,587,249,038,256,773,
507,040,135,483,459,636,035,689,467,414,594,885,275,385,339,797,234,137,789,
382,174,779,772,015,843,705,123,441,315,688,019,872,932,453,374,199,820,578,
583,059,372,462,106,088,971,915,740,088,740,340,173,529,191,550,452,459,919,
299,203,706,242,061,448,534,808,516,016,298,562,803,316,985,762,311,534,857,
711,327,674,484,926,804,991,278,416,290,843,509,585,415,589,082,630,495,324,
604,707,340,789,194,766,854,046,245,341,252,844,450,736,359,586,625,736,582,
622,680,517,416,185,298,465,640,333,606,625,180,115,819,561,527,272,608,320,
355,915,112,201,144,673,584,669,116,623,282,702,355,264,383,190,613,246,685,
103,723,271,681,007,290,276,402,606,678,648,449,329,499,699,080,217,233,714,
272,848,792,279,114,710,788,376,191,714,103,462,262,790,900,389,577,978,277,
238,540,992,449,500,822,168,167,683,765,459,832,682,650,096,814,610,813,362,
934,344,411,341,468,556,487,076,070,160,821,375,081,964,808,832,819,543,128,
907,925,351,833,699,190,656,874,861,642,095,506,855,474,199,733,826,567,722,
983,860,177,644,676,999,634,187,620,976,278,168,677,758,409,224,092,056,189,
304,951,059,696,405,873,265,514,148,854,813,447,536,786,601,920,992,806,286,
671,675,267,496,041,630,793,682,266,321,888,328,241,520,048,776,756,586,865,
082,327,971,223,818,682,578,811,094,948,878,693,738,714,296,205,484,149,582,
942,558,111,751,602,393,621,655,024,384,076,239,471,995,794,761,237,861,284,
715,346,333,620,185,020,962,082,517,784,087,773,634,413,270,143,933,730,028,
675,387,070,799,069,959,419,595,105,621,597,048,084,000,024,413,704,229,812,
953,796,419,764,750,196,804,944,408,726,835,827,854,551,087,338,586,338,448,
694,664,212,953,127,211,763,725,602,825,685,315,065,292,185,605,557,987,161,
991,662,454,174,130,150,652,685,525,814,881,076,170,821,937,435,233,326,074,
262,649,388,841,557,494,531,339,318,236,639,775,448,760,099,883,390,107,991,
007,169,854,211,015,517,394,987,917,344,574,014,184,205,254,042,404,758,695,
882,662,893,590,995,390,381,514,704,643,490,757,370,604,242,394,220,240,777,
542,919,430,592,334,300,493,675,980,474,934,782,414,817,362,253,645,371,063,
639,433,276,474,390,147,883,406,156,579,908,932,524,283,761,323,069,032,278,
881,477,872,657,249,698,983,951,676,277,373,593,852,691,086,612,024,865,855,
384,361,493,624,551,112,063,424,684,750,154,154,090,190,595,276,657,820,261,
383,560,089,178,366,575,791,007,652,572,982,800,051,673,901,810,901,221,947,
949,432,446,764,391,095,712,508,550,612,586,477,998,110,954,774,699,305,160,
437,927,278,695,310,110,541,623,236,358,242,745,504,393,321,425,249,956,885,
903,044,491,509,998,129,190,831,328,089,196,186,300,875,429,919,256,026,214,
905,805,023,081,592,605,151,689,226,374,699,856,601,531,827,483,351,663,021,
753,939,555,203,169,009,878,473,017,340,738,441,127,834,124,563,044,951,843,
824,898,262,680,757,710,570,999,994,817,623,119,821,620,779,989,102,863,507,
310,424,867,479,058,119,017,347,247,516,948,650,090,686,794,621,880,819,561,
056,757,510,816,200,305,859,174,013,296,026,722,106,668,465,252,891,404,498,
890,344,969,052,630,536,090,292,206,918,541,099,609,634,195,307,922,669,464,
459,509,089,453,211,637,062,375,662,317,493,314,819,590,731,204,769,653,525,
732,590,430,193,915,821,050,733,839,866,979,947,106,972,780,566,841,713,182,
149,592,501,300,101,279,022,185,304,048,101,921,341,694,080,083,567,304,688,
041,221,361,646,871,667,491,807,677,743,608,353,164,351,298,643,472,526,625,
436,044,750,950,368,472,929,801,487,722,027,758,583,720,577,547,103,334,020,
590,338,040,845,646,173,666,026,899,975,779,130,083,006,868,980,323,154,146,
733,210,376,675,353,553,244,454,510,399,052,552,885,364,979,995,482,198,112,
614,969,886,900,597,249,966,358,954,772,490,889,610,227,224,876,891,553,967,
711,718,717,095,836,418,866,659,582,210,307,680,927,044,267,674,333,717,719,
351,992,266,820,445,596,178,534,801,381,881,534,209,201,014,785,111,495,358,
372,569,926,702,363,111,709,006,107,355,902,310,868,310,304,958,994,770,165,
043,652,491,881,801,647,255,993,859,302,600,777,025,957,081,598,454,976,044,
977,071,703,425,139,253,319,644,589,153,969,235,947,508,888,191,318,709,576,
757,329,504,717,089,228,286,696,315,916,256,148,241,717,472,323,612,761,984,
775,915,012,951,780,857,374,570,296,191,387,906,245,354,468,304,335,115,557,
951,695,707,241,668,001,614,660,632,635,697,560,320,611,067,601,012,122,944,
532,593,879,111,827,556,517,963,606,357,953,191,940,803,873,192,538,559,270,
145,809,179,511,201,408,015,350,173,159,846,035,046,106,760,563,073,696,369,
178,940,466,361,984,531,341,441,724,583,497,961,990,923,266,288,386,936,681,
741,616,594,487,406,563,897,060,410,637,725,984,867,148,156,582,391,494,212,
575,771,766,706,704,962,225,300,871,676,253,521,080,437,249,875,861,501,572,
089,708,031,267,647,643,047,308,665,083,064,788,197,737,481,897,017,961,786,
354,266,973,398,418,711,423,711,438,583,799,762,306,612,423,940,344,439,116,
971,191,723,295,574,310,130,373,334,453,579,529,901,858,843,036,909,312,848,
688,659,951,235,280,759,317,761,829,105,467,861,772,027,037,060,245,051,279,
035,892,053,883,760,982,739,819,477,249,392,159,475,998,283,295,581,780,112,
290,618,203,644,650,448,492,588,099,510,192,960,168,085,388,617,670,328,862,
033,173,853,062,034,519,927,298,234,690,150,424,871,240,179,529,384,311,383,
551,216,495,056,921,573,091,775,311,969,956,368,489,851,634,531,020,860,253,
844,608,398,954,205,560,757,174,500,795,550,114,315,908,294,407,190,011,421,
484,017,659,647,060,144,944,512,909,813,843,149,458,731,622,214,287,994,441,
633,493,014,858,853,847,795,228,745,650,235,414,762,911,378,182,764,328,579,
546,994,623,100,431,136,163,902,869,834,335,384,479,088,218,046,726,180,300,
552,843,452,340,756,428,065,266,786,078,277,856,204,700,924,723,363,072,294,
825,203,958,856,671,065,187,499,478,762,570,221,164,668,075,241,117,622,108,
694,716,883,112,098,323,361,724,556,496,042,920,133,774,835,110,478,814,586,
225,419,984,008,704,201,433,829,998,954,171,452,320,704,636,613,643,609,906,
406,629,642,754,227,409,900,507,048,377,983,042,310,761,060,244,806,862,596,
668,270,737,354,017,764,864,285,765,431,270,779,457,080,932,379,284,224,722,
541,039,353,788,126,440,695,013,186,480,529,947,016,437,454,847,412,279,992,
615,470,270,075,725,757,860,581,261,266,838,925,944,036,988,493,459,592,449,
605,272,057,728,426,428,089,457,929,133,352,767,964,801,971,921,640,660,647,
886,336,274,046,132,552,520,129,039,868,281,458,286,008,475,285,841,728,517,
707,021,802,042,948,856,162,043,909,816,428,874,447,820,925,833,795,281,518,
406,414,509,215,859,340,252,398,286,861,548,256,413,215,292,123,066,405,802,
500,904,359,052,371,972,601,450,367,226,502,211,783,451,178,069,185,017,585,
810,960,508,916,469,751,260,967,801,549,093,964,168,578,369,197,395,483,787,
149,699,626,932,970,115,226,521,951,665,505,171,790,977,139,618,073,750,768,
569,973,512,816,151,823,843,897,024,295,643,153,307,115,232,708,147,356,114,
081,245,942,515,629,796,283,501,644,872,463,264,951,492,340,148,624,706,838,
383,010,576,912,134,202,331,024,061,566,351,944,214,608,485,611,840,382,777,
068,051,448,914,407,754,224,203,415,959,846,194,643,470,378,846,531,400,155,
310,541,068,620,448,050,745,846,119,702,486,931,806,166,998,423,642,748,996,
113,093,815,841,723,866,710,883,545,026,726,285,029,189,179,398,699,940,978,
463,183,362,947,109,524,714,517,878,218,906,921,927,053,422,567,145,853,513,
697,263,812,184,082,051,378,107,921,296,895,771,583,744,257,113,858,892,994,
683,504,828,058,514,817,265,349,408,157,444,040,414,301,359,875,316,866,955,
207,272,222,200,578,390,734,652,922,030,492,307,239,825,710,172,400,635,602,
508,270,682,399,951,656,960,917,440,073,600,573,846,912,866,897,295,385,421,
550,818,358,204,187,012,373,575,895,548,763,355,676,343,968,092,804,555,094,
298,773,600,286,674,544,171,040,103,474,912,059,741,279,598,238,103,783,762,
983,683,798,093,533,785,133,362,974,859,953,487,573,638,593,011,455,228,452,
376,755,323,595,366,245,328,711,814,688,984,833,905,971,140,057,300,831,286,
378,710,424,905,880,210,281,699,533,102,748,834,622,048,100,508,941,580,412,
611,039,917,273,819,318,139,481,237,313,365,822,221,669,132,843,534,346,125,
592,341,204,226,795,692,094,005,509,147,343,682,269,010,692,714,484,575,555,
891,173,302,784,549,763,992,624,922,230,439,116,871,344,557,003,326,694,718,
464,004,698,278,447,914,138,385,732,094,122,652,991,636,089,446,509,335,816,
487,146,202,779,040,673,716,706,323,818,247,919,290,959,401,258,721,329,790,
409,279,831,096,591,420,066,439,962,575,562,097,856,902,377,567,303,786,829,
506,032,584,814,841,353,963,405,538,349,312,597,297,333,428,982,185,143,141,
632,715,237,694,473,229,199,179,680,630,427,531,737,536,774,995,341,219,457,
385,268,973,741,686,112,128,677,356,055,617,022,892,668,218,228,235,219,632,
422,036,985,792,308,518,295,018,071,363,649,633,528,994,343,087,124,077,257,
887,098,941,734,143,842,423,369,265,760,985,997,752,594,355,650,454,364,644,
519,727,916,703,175,066,451,535,323,517,988,030,974,123,911,011,837,542,317,
276,079,870,000,141,815,405,806,244,351,416,652,827,546,247,747,414,733,676,
440,303,465,825,738,101,704,650,202,471,355,213,084,271,198,934,872,726,122,
873,303,480,630,384,217,646,332,906,972,034,253,393,846,882,802,696,899,701,
557,714,369,969,078,116,103,497,666,036,886,796,154,449,218,774,751,705,983,
399,073,239,684,849,659,635,993,929,358,318,269,928,255,205,906,894,236,204,
934,652,914,046,853,453,849,363,809,518,523,043,301,318,778,525,746,986,466,
558,629,470,577,684,822,016,187,173,046,176,171,600,934,073,805,605,397,140,
743,910,715,803,941,450,569,319,522,587,124,003,936,424,489,459,712,887,193,
400,993,879,253,375,673,882,298,444,299,658,087,408,319,959,459,214,551,148,
318,619,867,657,836,695,934,811,215,711,265,179,472,952,851,916,113,212,834,
006,286,651,820,951,183,385,765,310,897,654,433,436,657,077,651,914,034,176,
554,069,127,724,172,833,599,531,684,446,755,654,511,195,584,006,762,797,291,
069,490,265,266,672,573,400,167,724,900,054,996,253,708,214,057,839,932,736,
782,120,313,246,499,655,959,909,832,509,729,035,885,494,984,025,591,439,305,
900,836,823,471,972,452,546,461,823,552,594,998,216,007,872,208,076,856,791,
533,161,985,149,999,318,328,063,130,368,546,980,535,912,735,049,060,254,586,
599,252,932,118,132,912,592,784,271,364,551,010,432,802,223,831,500,941,108,
881,868,254,029,433,753,285,119,271,513,880,524,547,097,798,099,523,078,915,
893,028,404,295,519,814,124,039,084,849,968,914,202,586,249,666,565,663,979,
908,651,886,159,227,269,996,207,011,603,395,681,099,552,031,336,903,356,575,
852,381,466,907,889,362,093,807,148,700,691,860,564,190,771,666,616,672,503,
758,467,624,882,465,682,175,794,446,028,786,213,256,161,720,040,345,965,339,
029,060,928,399,930,897,984,069,447,436,315,345,598,943,307,652,123,454,018,
742,863,662,268,843,176,881,548,877,698,648,692,748,582,883,000,857,001,379,
555,607,259,702,062,102,193,269,919,925,878,568,669,906,735,099,993,209,988,
164,069,466,034,023,409,233,101,231,342,096,210,111,327,686,212,029,551,155,
279,103,212,465,112,148,127,048,519,017,011,567,529,791,687,412,695,025,711,
155,724,572,661,211,887,026,569,533,167,421,739,765,282,636,586,205,929,910,
824,416,677,803,899,807,438,629,713,296,099,647,757,841,460,102,898,395,363,
627,084,776,134,909,157,681,546,086,046,265,803,923,780,501,826,500,240,790,
909,437,854,086,461,932,750,504,132,442,926,109,396,605,736,717,696,717,868,
115,207,854,705,470,667,285,935,101,390,160,502,521,230,422,511,114,514,949,
344,258,992,691,495,925,788,363,889,274,213,301,837,436,890,846,524,077,329,
198,616,403,529,687,801,536,888,332,968,648,943,075,977,635,949,789,475,848,
789,084,000,585,638,558,644,355,108,179,836,342,784,181,006,269,882,621,586,
366,145,476,248,345,687,844,287,725,518,127,025,295,767,822,114,125,793,990,
507,003,209,359,104,828,360,630,047,683,524,761,779,532,670,114,459,046,206,
179,391,865,066,983,547,140,921,872,196,603,120,913,062,650,988,021,242,632,
629,338,060,841,534,501,535,585,765,905,191,054,515,640,123,963,610,737,092,
894,023,086,006,626,371,758,278,482,542,476,083,415,833,432,577,692,539,608,
246,033,097,384,199,050,120,125,549,943,185,485,905,994,793,229,458,827,018,
147,273,400,108,893,078,418,202,531,655,413,844,693,975,072,497,608,157,854,
940,077,511,551,552,729,071,597,119,089,456,120,961,751,915,936,424,279,942,
578,848,591,174,143,951,527,712,738,649,022,386,634,676,248,722,847,367,067,
330,082,549,249,404,041,455,065,023,158,081,720,285,436,795,291,685,430,115,
160,044,177,396,492,535,951,288,815,652,413,085,877,958,811,692,413,840,720,
778,872,882,523,811,245,933,970,120,494,605,524,714,081,197,596,869,190,263,
509,978,879,906,420,240,094,813,901,027,159,276,961,123,829,401,430,721,329,
936,721,370,008,567,291,484,887,499,128,244,999,989,517,153,272,958,146,052,
727,801,156,486,510,566,600,322,166,691,939,400,189,721,497,516,604,200,665,
647,813,105,056,650,550,894,802,003,570,302,566,759,859,411,059,098,092,579,
422,309,217,422,583,336,525,003,400,280,206,859,011,457,953,634,435,459,805,
850,506,498,662,660,507,249,427,649,414,238,003,535,088,479,499,902,254,716,
067,916,888,955,911,522,478,340,355,625,189,971,592,009,613,010,972,499,880,
343,033,771,166,206,601,811,032,311,967,189,748,650,716,783,463,984,810,505,
574,993,134,334,171,769,771,305,772,454,273,949,556,613,564,950,274,564,289,
392,116,910,906,553,138,603,564,875,938,369,910,694,439,618,981,807,548,497,
126,525,464,612,152,023,552,195,395,186,555,500,084,931,372,257,711,897,015,
303,689,296,893,535,310,472,543,032,907,256,641,687,516,557,670,160,523,056,
908,134,951,635,176,220,573,030,999,132,910,704,642,675,298,966,514,234,560,
691,148,041,218,592,028,441,755,536,492,888,295,431,273,600,336,990,727,778,
647,319,878,041,995,081,704,772,143,696,792,991,872,726,616,067,887,619,010,
054,747,661,602,113,275,891,123,950,257,526,905,298,751,459,969,794,671,768,
179,542,128,299,071,157,561,723,988,429,455,427,633,657,212,578,838,590,573,
799,988,402,022,800,732,378,054,260,486,157,136,556,104,146,353,994,444,233,
684,282,167,666,243,281,630,559,816,071,629,358,980,509,559,567,547,906,993,
775,796,198,944,947,312,756,284,337,989,815,963,528,610,265,125,975,431,482,
950,882,618,641,660,739,485,972,060,720,689,490,965,590,663,986,483,016,439,
604,236,850,499,235,278,297,028,851,582,261,309,778,430,603,464,868,901,498,
431,944,669,284,862,829,151,235,406,412,010,449,554,963,054,026,248,099,870,
998,672,597,499,331,909,023,498,707,683,759,626,888,617,929,729,211,359,663,
720,423,857,145,437,917,129,225,956,390,023,114,883,630,166,204,366,456,100,
583,557,283,506,727,571,693,846,510,055,287,933,107,722,017,553,744,516,252,
640,128,214,824,733,302,438,200,947,644,310,950,112,501,659,466,850,184,738,
086,064,977,043,346,052,062,279,392,023,270,196,903,566,494,333,418,471,304,
672,477,196,667,691,851,119,736,274,676,249,630,414,907,663,263,114,009,394,
407,961,335,879,908,668,162,900,484,404,015,980,046,233,383,085,362,959,427,
500,266,394,456,265,399,912,093,449,582,179,296,659,074,738,348,718,261,698,
971,608,748,623,408,601,785,682,726,092,795,808,316,053,229,106,036,953,562,
941,095,817,767,802,729,699,215,185,297,020,503,376,043,302,709,820,112,529,
478,775,026,172,687,428,461,289,646,858,141,951,603,731,038,535,840,113,080,
823,754,993,961,712,600,287,319,818,390,217,339,523,207,198,854,429,613,123,
738,518,674,151,365,026,872,391,851,649,061,596,575,240,492,107,727,111,271,
462,136,955,642,082,845,302,975,248,031,823,552,244,664,726,918,018,901,923,
713,145,959,652,939,709,523,953,960,859,579,279,986,473,446,654,611,067,408,
188,153,540,185,288,394,180,122,661,004,191,667,308,800,223,357,488,494,585,
799,588,367,816,006,133,431,804,246,959,284,978,121,764,189,681,736,006,461,
014,261,115,188,311,856,002,919,039,747,042,825,449,662,125,374,686,715,883,
820,620,613,980,003,910,936,164,246,961,814,543,763,604,740,664,910,445,277,
385,822,591,948,551,590,902,622,949,533,385,426,935,953,672,149,815,204,843,
862,490,684,532,273,674,536,154,350,626,635,965,522,321,529,178,492,646,508,
199,650,043,319,568,267,225,811,877,415,463,271,457,525,590,762,676,177,401,
128,659,801,402,904,469,433,775,242,010,573,376,165,281,809,294,473,825,470,
612,287,243,907,309,826,349,057,248,567,080,869,836,074,987,816,147,330,088,
975,507,146,491,879,529,178,571,570,150,484,066,221,969,631,452,991,459,385,
184,175,831,020,454,636,008,583,421,137,829,233,165,606,295,127,675,858,857,
889,427,131,443,661,448,394,993,485,058,612,855,316,769,887,635,382,970,834,
321,318,522,539,424,441,252,549,575,372,808,387,103,458,338,171,148,711,790,
678,940,666,547,389,888,437,476,628,208,147,042,653,277,982,686,119,250,418,
661,509,700,464,915,158,177,942,816,609,210,062,613,180,418,344,667,840,428,
540,355,244,108,549,525,803,944,329,728,537,014,104,036,180,692,667,758,864,
244,553,326,049,889,967,146,776,098,698,799,188,947,773,979,510,168,660,242,
714,724,811,001,554,844,559,170,442,798,019,503,245,290,695,003,518,730,087,
901,019,455,679,123,586,166,136,673,904,495,033,739,533,744,102,789,674,666,
631,360,965,069,940,585,941,995,368,740,610,521,436,223,132,584,223,869,466,
562,025,938,909,377,346,736,479,523,502,238,136,967,399,567,889,991,859,034,
335,779,848,805,096,051,913,164,430,237,406,962,948,131,416,449,371,065,361,
468,202,343,357,925,376,965,992,952,503,873,854,152,409,614,550,464,694,373,
143,367,224,274,775,107,506,958,331,298,993,910,566,980,471,378,191,042,545,
167,523,521,749,194,687,367,366,322,028,242,775,811,476,994,247,572,109,829,
115,436,030,570,681,225,979,806,334,428,457,348,679,947,079,312,987,042,007,
760,519,579,984,978,161,397,596,182,804,282,484,652,340,678,855,940,534,983,
569,468,683,347,121,266,277,906,999,401,201,784,689,540,510,732,180,566,654,
908,288,393,284,616,382,400,313,781,865,772,816,825,614,680,232,208,584,791,
679,561,893,454,783,594,262,440,857,884,280,037,521,790,859,504,644,078,103,
678,451,650,617,451,045,106,467,250,089,191,259,353,682,083,880,020,844,330,
441,999,533,956,584,738,599,774,708,604,913,578,265,339,268,132,491,480,040,
862,300,509,528,592,749,822,465,497,535,431,374,231,314,902,872,547,566,210,
601,019,780,593,107,469,115,454,717,469,272,739,319,173,097,262,613,831,207,
952,067,533,007,444,849,144,461,369,451,070,888,062,920,245,943,490,888,278,
189,150,374,250,828,483,461,828,021,759,493,396,508,083,518,200,193,963,066,
706,991,364,072,094,489,894,625,751,876,073,973,973,281,200,078,001,066,887,
769,888,657,901,914,141,089,969,617,561,287,097,444,510,263,969,361,743,769,
465,030,048,870,699,793,091,926,871,573,741,675,237,961,677,792,903,177,062,
899,379,243,627,181,955,808,245,854,808,053,271,021,753,267,568,801,933,530,
006,067,774,597,731,266,685,621,945,276,106,986,881,602,868,724,977,845,270,
573,163,282,379,454,522,540,741,613,912,693,104,778,782,662,457,860,210,824,
283,663,327,745,477,707,326,706,706,124,002,610,985,567,109,161,739,474,574,
472,251,324,919,031,524,813,950,940,502,274,980,851,691,620,721,654,782,369,
215,592,598,357,071,381,723,403,375,057,839,998,244,340,679,053,727,840,579,
487,682,762,481,945,435,297,590,927,092,588,396,460,133,049,018,626,759,055,
989,950,738,311,260,704,257,461,803,750,760,233,726,449,157,279,461,174,120,
076,860,698,519,447,031,207,606,796,118,728,448,420,117,614,832,182,552,208,
047,242,872,961,510,941,965,072,679,665,056,436,880,132,882,115,152,900,790,
064,146,338,004,061,016,305,692,843,709,676,141,716,556,744,246,377,591,127,
193,032,100,697,682,990,171,950,173,973,695,563,981,579,465,577,397,195,868,
118,794,628,530,041,028,410,091,222,067,254,510,988,179,767,168,810,167,489,
803,641,310,823,656,197,109,990,028,135,557,501,825,686,211,724,703,130,319,
724,191,195,953,854,104,689,440,106,688,020,961,660,462,534,621,384,415,046,
086,644,782,201,724,598,855,449,459,026,520,970,209,002,850,504,295,097,753,
322,702,070,182,484,724,980,497,343,286,884,909,074,059,568,108,704,359,426,
454,914,481,503,517,028,580,652,860,411,131,688,081,017,042,914,711,120,547,
930,818,650,586,649,223,528,182,923,785,659,435,690,042,664,307,668,381,495,
630,871,219,946,525,209,660,271,008,567,306,204,215,430,004,311,860,487,302,
120,213,813,173,371,778,757,401,232,621,747,324,964,460,605,918,735,921,644,
317,037,114,885,653,197,478,701,129,185,173,731,413,067,678,462,384,442,208,
830,404,652,063,087,925,231,533,926,980,967,042,663,349,258,871,593,057,421,
220,056,423,612,110,255,532,384,536,687,020,737,385,021,641,853,004,125,706,
857,809,161,019,209,215,209,809,721,441,900,079,455,327,555,063,706,948,431,
650,087,118,917,352,648,103,552,417,517,122,050,658,880,743,100,567,312,545,
570,990,564,845,218,108,536,283,793,799,524,085,872,436,104,689,431,403,195,
477,172,965,823,333,016,143,292,538,020,723,071,316,433,949,084,041,763,770,
863,862,893,080,757,166,452,293,233,431,358,414,937,330,850,624,313,711,152,
613,960,095,228,755,865,620,355,377,262,895,126,336,832,232,942,682,243,900,
163,437,343,065,380,786,741,331,724,819,348,650,807,049,226,198,656,828,762,
492,916,334,934,442,920,752,864,994,000,422,722,486,244,252,700,825,953,379,
334,149,110,507,776,785,670,363,793,623,035,342,083,165,038,317,409,718,053,
794,446,647,597,445,603,984,701,971,598,754,157,849,625,475,361,949,284,732,
558,943,361,961,832,165,057,226,375,440,606,118,601,096,018,585,966,761,339,
820,790,696,181,640,553,597,718,678,671,143,643,671,135,063,658,030,921,583,
287,736,690,761,884,079,083,738,038,685,570,691,672,133,083,801,501,647,696,
261,367,234,138,143,695,268,646,787,780,478,586,610,545,757,643,541,922,113,
706,662,846,533,803,651,224,639,012,562,399,732,999,862,805,049,688,506,782,
812,317,300,411,925,028,246,625,427,734,048,098,340,893,819,924,525,916,316,
794,374,574,170,225,856,793,061,988,381,875,178,639,048,637,351,651,648,629,
995,785,921,968,640,113,317,628,552,535,516,588,861,182,115,399,380,383,341,
342,006,286,487,134,953,137,422,061,863,953,319,161,791,807,947,118,964,538,
788,454,236,442,588,178,730,337,415,465,131,704,931,766,379,993,118,159,941,
488,107,927,684,138,348,619,564,531,286,853,214,946,570,985,747,058,040,913,
211,921,095,523,364,368,714,850,272,752,269,301,959,387,751,367,554,766,642,
137,524,383,459,253,204,317,681,796,544,836,255,882,202,369,872,218,702,843,
926,510,131,854,750,677,523,255,210,886,393,493,260,402,357,048,908,541,065,
519,872,589,372,269,380,143,403,954,009,658,654,204,224,436,098,636,947,876,
453,899,410,705,091,478,047,823,316,636,948,026,960,455,821,530,383,692,565,
114,544,831,951,117,831,604,805,576,916,837,774,449,186,912,341,608,749,482,
882,091,297,049,803,349,562,035,096,208,586,657,642,956,683,445,460,138,767,
590,165,157,877,800,296,011,030,664,303,387,127,293,348,823,579,520,336,903,
578,323,346,136,335,138,567,293,706,190,228,463,903,866,105,701,197,462,643,
129,707,341,549,248,506,857,210,433,983,943,054,251,333,943,803,541,191,339,
056,992,062,954,211,809,660,826,962,516,452,998,055,384,420,846,045,169,497,
911,058,294,326,002,080,437,976,019,441,370,620,792,493,032,133,613,640,300,
312,966,156,808,444,792,384,610,528,601,690,884,623,080,830,056,540,370,900,
223,917,370,563,610,075,757,097,090,417,684,641,387,207,128,131,007,408,922,
230,720,749,518,195,396,024,419,484,366,427,792,202,987,167,317,841,669,607,
779,843,771,625,071,722,147,396,373,876,815,020,494,472,271,328,772,755,935,
704,312,733,800,550,539,159,841,723,197,655,869,191,414,299,347,587,074,355,
560,931,677,401,247,524,951,040,394,677,304,009,101,730,559,142,789,628,950,
536,547,780,200,628,485,468,567,741,553,501,723,063,979,232,821,456,770,837,
117,139,381,625,745,336,164,429,609,633,075,119,917,799,091,391,343,800,299,
767,496,240,059,200,500,032,813,153,830,746,341,308,049,990,195,279,685,836,
773,440,832,592,891,378,195,476,377,703,292,877,374,287,864,739,561,406,469,
939,304,705,040,921,145,712,190,454,561,304,437,799,769,910,745,599,249,186,
513,810,948,570,705,959,330,877,597,538,198,133,336,031,350,847,406,099,826,
956,211,806,711,271,844,516,265,631,814,121,603,071,294,206,371,090,918,208,
541,099,290,576,266,632,200,888,773,074,002,178,480,487,856,583,479,787,420,
696,432,008,354,571,662,805,361,374,297,561,397,955,287,543,085,209,677,511,
910,538,265,376,477,689,890,827,965,146,581,121,116,657,216,756,865,537,545,
560,220,126,874,850,926,929,227,479,282,128,683,027,822,909,760,669,984,510,
444,781,541,518,845,498,623,718,839,460,985,222,264,218,310,807,712,272,351,
551,123,344,838,668,273,113,484,235,289,949,942,313,428,415,219,362,453,172,
980,206,394,880,796,785,794,242,826,106,588,460,153,396,125,624,982,119,489,
857,387,374,949,471,827,736,716,698,482,616,051,168,051,971,599,674,076,436,
859,671,955,393,645,568,610,029,184,070,083,668,801,553,249,061,103,672,617,
110,768,313,074,823,838,780,969,746,347,488,016,373,604,130,204,289,101,817,
692,721,391,374,608,764,656,606,358,241,505,333,115,490,705,959,143,779,926,
053,782,640,487,228,799,048,813,749,790,310,797,328,804,053,261,544,125,960,
708,107,878,059,431,989,045,291,778,652,876,071,259,342,580,580,824,247,279,
472,517,065,792,766,900,692,402,425,199,446,033,351,195,657,005,377,589,856,
211,538,643,960,242,447,587,784,855,475,501,026,422,858,039,294,314,031,201,
081,181,446,278,415,044,072,563,232,389,666,748,242,740,727,545,958,068,590,
250,925,789,767,158,342,525,073,984,711,618,194,013,712,298,225,446,286,728,
864,765,047,923,902,234,731,299,252,368,973,950,211,384,640,467,695,556,835,
401,724,740,267,489,991,969,417,065,319,273,864,065,743,200,543,071,661,322,
750,038,406,902,940,145,264,933,590,362,888,404,055,664,958,975,950,601,255,
473,207,922,821,416,469,851,742,210,486,960,587,523,162,706,071,542,420,929,
913,870,347,519,706,587,306,439,614,851,103,883,612,598,915,836,025,353,063,
552,946,161,225,242,504,673,974,705,417,613,710,619,194,868,121,101,323,869,
425,106,465,329,319,846,786,311,382,222,486,028,738,431,923,364,005,162,743,
944,587,935,854,510,228,729,623,951,743,613,358,212,940,149,961,962,952,624,
142,663,873,800,672,534,411,597,442,116,721,861,215,844,712,427,468,124,978,
056,460,155,079,881,205,649,738,549,490,406,417,207,517,972,941,773,785,384,
221,412,052,713,639,153,647,771,669,053,687,384,227,693,152,204,651,562,081,
022,446,342,680,220,424,448,999,951,168,443,042,897,085,089,351,840,870,040,
296,011,356,738,468,454,348,706,897,631,639,741,335,448,085,417,900,798,626,
958,966,363,588,680,716,384,046,083,775,318,775,204,689,219,353,285,501,462,
727,711,415,248,828,348,608,776,541,444,203,363,437,186,413,342,478,361,218,
142,555,531,425,155,539,087,032,326,591,385,802,377,626,453,600,957,825,279,
681,077,720,556,989,389,066,744,313,376,441,769,042,848,688,704,254,734,188,
772,406,922,278,574,149,482,597,608,629,277,780,192,338,752,934,644,444,066,
529,044,999,468,750,863,617,324,715,287,307,346,548,481,168,516,373,275,196,
294,818,112,084,887,748,877,918,163,429,709,432,347,507,197,447,229,216,844,
394,386,310,412,125,741,593,889,000,029,819,216,188,233,434,539,682,714,241,
125,923,948,944,893,758,630,418,974,675,396,560,810,103,948,290,030,372,225,
908,013,500,724,409,859,159,867,913,442,810,561,661,918,985,238,244,358,015,
302,735,499,486,867,071,947,325,308,536,107,900,028,808,735,011,634,623,558,
547,097,291,530,953,961,123,193,443,362,383,036,369,927,743,482,892,737,500,
745,542,713,200,570,773,819,029,516,927,136,887,097,831,048,564,051,039,564,
285,090,891,070,943,805,891,262,136,004,633,504,109,745,507,327,864,249,880,
497,685,075,687,433,684,294,565,622,880,638,802,926,871,733,827,394,681,963,
377,797,831,554,501,017,753,705,473,915,468,389,433,580,409,240,606,320,137,
504,460,388,554,725,927,408,694,311,411,720,424,893,318,056,014,142,699,396,
402,158,137,206,325,921,608,128,782,567,114,353,551,113,197,508,697,382,775,
037,784,547,816,330,691,388,617,554,115,468,674,295,498,557,766,685,272,754,
259,193,868,411,933,689,422,689,197,713,723,475,214,164,305,748,749,172,472,
962,114,250,805,296,313,078,272,495,791,509,538,468,751,053,177,811,958,545,
915,491,158,100,563,370,615,568,701,561,290,319,577,271,797,536,296,624,586,
311,845,128,811,094,268,062,356,454,695,511,463,586,082,389,032,964,680,971,
530,357,704,287,336,973,252,633,886,984,912,058,517,739,600,013,202,124,116,
726,688,108,379,798,190,704,960,480,059,433,210,808,265,521,274,569,940,092,
729,550,038,390,957,287,556,371,963,381,806,074,528,533,878,132,572,056,038,
430,005,909,869,300,199,481,706,377,955,666,930,833,954,839,883,689,544,035,
847,605,298,456,844,482,714,196,473,711,411,991,829,210,060,503,932,098,250,
337,142,081,547,535,340,381,957,050,611,944,423,907,897,642,209,043,205,732,
179,546,341,932,488,458,686,762,198,050,254,528,250,293,467,864,615,164,779,
158,242,986,908,761,157,648,505,310,704,034,103,054,343,080,778,537,280,339,
977,096,192,574,960,389,684,890,859,078,105,798,463,251,502,585,399,255,220,
059,103,253,761,852,097,606,339,068,794,984,292,779,933,804,436,399,961,716,
986,276,441,379,878,204,246,127,485,414,849,024,839,569,243,252,674,342,068,
492,658,166,349,489,610,198,376,814,064,296,522,749,522,052,424,554,147,744,
537,220,258,333,451,505,006,718,566,782,485,897,052,456,154,201,466,361,082,
107,838,125,178,589,592,208,746,375,717,897,389,177,463,567,102,685,560,401,
477,754,091,310,206,722,458,598,309,430,209,701,414,175,934,527,979,612,422,
715,496,902,138,029,097,548,295,819,109,248,901,936,220,788,990,481,937,673,
015,239,373,836,827,638,173,301,694,413,067,861,032,320,295,245,954,129,055,
481,623,179,950,546,127,653,719,831,380,491,801,438,624,093,530,039,772,723,
659,595,863,645,338,823,573,351,137,992,744,354,265,169,228,858,672,677,279,
870,887,176,850,055,693,630,989,566,264,101,339,825,920,772,364,644,221,968,
538,083,948,072,626,709,020,009,344,665,133,358,505,094,258,912,727,211,499,
071,225,446,264,942,839,062,680,034,511,252,203,387,778,222,294,145,047,324,
485,329,230,312,824,769,890,144,015,154,550,625,983,507,012,614,705,948,637,
600,845,448,881,401,776,310,796,008,882,407,856,286,559,913,388,832,022,596,
021,994,889,948,430,127,573,525,878,207,618,129,307,279,957,198,789,738,279,
159,862,472,495,859,470,470,828,604,165,191,255,969,091,432,482,010,278,297,
701,158,834,762,420,527,292,575,370,262,540,852,746,223,544,987,142,142,490,
296,091,919,367,550,847,052,065,969,192,881,516,732,783,073,463,025,450,018,
868,255,893,857,794,595,050,538,532,430,278,608,846,457,935,650,008,421,186,
771,180,541,966,698,593,545,449,779,752,585,773,731,557,432,434,134,830,019,
963,248,380,186,327,020,728,866,344,236,480,009,779,896,698,258,598,510,511,
384,913,543,839,688,599,860,433,903,967,690,013,366,708,244,300,534,183,684,
486,931,845,986,441,371,767,472,585,719,092,394,372,956,618,953,972,704,702,
045,664,043,524,281,626,275,767,194,461,775,020,367,301,432,317,299,327,060,
094,959,536,910,961,052,957,632,231,856,756,764,274,204,445,323,600,963,195,
633,390,328,348,880,975,230,571,283,911,156,723,641,767,976,635,588,160,582,
788,061,922,335,633,706,595,267,559,033,572,547,724,293,026,696,017,594,942,
087,250,064,853,244,136,302,755,558,762,456,303,938,173,376,285,989,003,263,
437,412,744,231,171,931,361,019,247,055,482,089,544,228,096,690,726,571,557,
078,139,088,444,455,593,669,310,295,938,373,942,054,818,042,586,957,584,938,
784,843,211,462,472,026,316,038,211,043,118,336,607,993,845,554,772,978,207,
995,677,340,111,199,142,269,335,870,047,611,580,575,327,137,833,427,824,148,
157,566,983,146,281,469,334,521,914,933,913,613,342,936,659,716,523,624,886,
541,105,441,617,860,420,193,950,361,204,494,763,178,613,278,639,630,701,757,
879,512,575,588,595,754,486,918,502,166,811,848,013,206,589,986,161,265,317,
117,668,631,223,081,714,663,015,965,623,265,734,750,935,175,259,695,109,960,
323,122,383,493,136,349,974,972,433,168,955,521,081,096,261,674,526,280,579,
701,696,385,687,897,487,221,593,924,069,593,850,401,366,880,013,256,740,295,
448,384,016,270,080,346,092,605,633,172,991,844,320,885,045,083,483,423,053,
707,109,012,377,635,840,586,954,337,175,485,751,387,994,138,910,229,062,003,
464,138,454,144,451,277,640,587,406,954,830,974,476,977,355,074,479,096,577,
205,104,397,668,168,177,837,571,827,524,789,358,739,552,044,240,729,892,493,
813,973,376,679,213,135,506,085,859,322,407,657,975,846,379,570,889,302,995,
157,777,207,564,813,482,344,063,978,859,377,934,003,316,385,441,791,147,424,
398,563,489,285,130,890,892,583,222,223,531,075,741,075,131,576,845,808,624,
686,239,699,838,500,458,746,482,137,472,816,798,358,769,654,143,601,299,887,
226,984,021,235,086,380,611,792,080,224,384,489,018,382,356,528,740,253,244,
083,017,807,339,137,150,003,863,167,331,575,938,242,493,196,240,906,620,141,
706,320,041,299,100,810,067,505,374,205,503,141,780,040,493,278,682,707,813,
255,430,265,223,527,879,973,433,065,486,748,586,446,193,574,839,200,127,726,
843,044,224,399,026,546,078,758,316,131,957,613,998,572,418,155,736,150,728,
717,844,153,316,203,047,890,359,835,443,199,745,671,291,758,542,257,351,459,
468,461,670,324,774,308,702,880,274,443,056,234,382,030,979,351,701,966,227,
362,999,308,402,695,452,023,755,524,772,882,039,858,710,235,781,514,036,588,
942,174,814,636,038,119,277,208,844,497,889,328,459,016,763,542,929,927,496,
904,189,196,789,870,658,031,321,034,395,573,177,729,796,414,031,855,991,673,
810,263,262,610,520,198,949,652,931,100,999,814,777,482,329,302,059,705,163,
254,856,254,787,345,359,487,588,252,571,586,294,356,223,994,338,670,372,738,
496,576,997,109,633,605,084,494,890,922,301,607,177,206,873,071,861,039,274,
432,892,476,079,080,066,710,870,985,129,079,923,608,695,240,351,620,378,061,
059,010,800,024,926,882,510,471,661,692,701,373,033,182,208,504,132,246,866,
011,063,100,094,443,988,688,061,127,968,225,699,355,945,759,450,721,393,881,
760,858,617,073,481,080,064,756,712,361,119,706,537,067,393,885,136,499,139,
656,163,534,843,522,232,147,021,296,544,528,417,889,331,828,932,003,541,904,
877,034,186,329,099,822,249,747,402,376,502,599,285,131,423,839,368,563,548,
998,642,649,099,261,770,472,443,923,335,085,597,374,879,352,174,951,778,186,
703,643,786,336,561,663,028,782,215,996,654,413,344,753,593,234,659,883,863,
027,146,300,931,358,314,097,275,778,466,257,199,593,886,753,768,310,968,205,
316,346,854,296,405,368,674,942,712,845,323,065,066,607,654,633,953,814,479,
039,458,631,458,560,569,301,029,574,005,637,063,512,744,226,675,243,522,352,
034,114,332,667,810,827,082,353,650,297,421,356,161,406,117,976,104,771,630,
040,846,287,591,410,035,941,342,787,354,991,031,821,182,275,083,473,914,709,
172,499,802,678,124,003,904,607,909,059,799,764,429,996,528,553,293,346,905,
991,779,966,838,230,050,308,286,223,521,697,072,637,638,907,716,689,341,371,
381,525,758,989,384,888,057,054,315,754,727,048,351,630,548,393,425,911,657,
853,499,391,422,296,959,332,753,590,152,021,042,290,607,063,997,802,698,769,
298,688,596,299,002,747,252,744,578,856,964,032,646,373,116,705,360,847,960,
083,859,302,593,223,841,287,829,401,144,755,835,393,495,605,367,343,612,175,
475,920,467,957,966,711,774,686,470,039,656,047,569,761,492,790,682,222,975,
466,970,096,105,690,534,326,352,319,894,186,917,661,860,333,283,486,836,487,
136,237,872,866,714,158,118,226,400,871,518,029,149,153,758,828,159,500,306,
185,736,857,250,472,300,755,487,746,736,677,236,859,548,029,741,658,255,204,
153,396,109,453,360,058,860,241,500,940,485,161,561,184,891,282,289,821,935,
040,887,303,744,854,085,559,709,523,062,557,884,764,763,504,056,489,873,178,
481,568,692,876,240,832,450,233,530,029,684,201,647,034,208,415,762,236,427,
044,322,097,705,523,567,248,881,275,688,912,959,678,498,223,809,653,393,948,
147,419,192,605,241,381,994,205,991,325,525,595,607,603,779,658,316,299,486,
753,979,723,639,386,605,989,940,194,376,936,945,992,264,594,673,801,603,904,
143,356,476,545,576,150,532,458,750,774,066,234,553,890,052,661,644,735,464,
161,825,338,185,380,792,976,131,791,316,738,646,591,250,190,739,298,889,523,
240,638,805,158,073,528,026,440,528,536,195,310,938,263,204,358,687,119,048,
164,333,119,427,170,154,827,778,917,022,070,855,278,215,682,281,731,402,945,
260,093,487,149,352,598,037,501,759,489,767,981,375,505,691,350,305,924,500,
305,619,557,205,554,403,202,771,958,116,282,508,541,561,769,165,860,278,251,
060,378,180,891,805,067,397,413,604,619,176,122,342,400,567,311,088,546,855,
888,242,870,185,726,295,879,374,477,824,771,781,209,906,352,746,780,683,026,
992,178,774,233,743,789,020,059,014,386,963,811,036,673,487,302,684,197,118,
821,720,517,673,227,699,405,017,590,469,613,580,448,539,692,654,476,785,343,
063,933,881,810,657,548,438,249,011,072,338,013,918,243,386,225,778,975,744,
705,915,784,926,412,854,015,681,300,177,292,619,579,264,270,137,816,329,197,
052,368,926,165,162,387,863,453,768,838,481,946,964,435,269,080,932,361,846,
803,380,806,389,934,572,026,399,169,643,051,165,894,336,399,756,121,020,577,
545,051,750,583,753,583,823,683,853,492,458,538,884,143,947,186,716,576,859,
402,036,294,987,006,352,427,815,272,266,539,416,259,264,885,284,191,188,630,
665,437,467,050,752,126,486,280,515,110,644,425,426,768,125,997,332,622,078,
683,128,862,948,160,541,313,194,686,854,826,100,163,056,250,648,280,096,961,
318,432,926,689,243,363,806,907,598,247,805,835,431,497,397,283,541,494,466,
525,653,797,898,025,887,165,937,746,335,279,428,112,617,849,632,265,281,557,
108,301,910,284,940,121,276,757,287,837,146,467,868,635,600,230,991,564,350,
447,914,778,149,728,212,252,202,038,910,173,979,851,710,846,436,159,398,589,
647,685,651,413,514,972,245,840,864,222,101,439,372,713,865,708,096,272,178,
951,774,950,527,764,314,049,120,216,529,331,194,791,002,019,880,544,642,047,
217,613,571,612,630,956,004,654,936,741,329,411,019,151,761,032,971,502,600,
078,105,946,927,048,160,328,661,063,337,541,850,679,877,478,263,029,997,096,
252,520,407,470,378,635,744,240,270,108,694,091,620,927,720,956,624,106,327,
604,426,839,664,746,116,115,933,421,354,839,681,520,472,867,249,294,988,901,
636,870,340,245,859,043,701,705,374,398,867,051,515,357,833,876,333,291,736,
802,472,680,635,571,164,832,150,850,685,632,088,573,729,535,507,971,463,161,
777,235,480,244,461,187,731,048,435,800,775,760,133,760,429,745,415,293,229,
156,780,679,631,441,619,631,940,120,183,278,269,405,666,205,593,460,483,179,
950,214,183,140,927,607,644,958,950,760,211,697,100,063,013,574,468,131,019,
412,653,940,226,081,825,871,937,166,066,580,567,804,650,732,519,037,182,014,
873,638,581,528,876,165,926,403,172,938,939,235,828,778,359,740,710,682,486,
548,016,736,029,683,870,397,886,780,035,742,516,723,950,192,843,971,117,784,
463,844,779,269,285,465,044,641,325,877,503,389,781,677,528,926,014,733,973,
671,195,979,076,960,198,305,660,186,840,354,075,141,363,711,141,934,472,658,
620,243,558,799,649,925,488,868,764,747,042,426,552,349,278,845,071,434,711,
248,281,259,316,203,131,027,784,233,965,532,397,197,455,546,274,080,397,689,
018,994,128,083,309,283,596,501,079,567,600,131,940,246,066,953,316,346,780,
717,029,269,715,299,153,228,794,565,345,765,904,345,014,246,946,994,597,228,
041,742,787,759,415,085,129,211,874,323,984,973,722,238,049,772,658,304,677,
833,648,594,976,003,399,657,255,025,120,316,855,707,436,265,993,342,228,143,
387,591,710,990,997,952,222,624,000,500,174,536,798,235,555,483,503,940,135,
884,704,715,909,405,416,781,857,128,784,300,410,986,920,483,037,245,705,443,
372,690,135,317,677,141,688,832,731,119,153,659,758,650,181,206,795,906,199,
216,056,164,139,872,183,110,501,933,573,399,480,753,895,774,951,689,722,736,
211,840,294,280,710,005,359,825,011,097,907,353,657,538,009,815,024,412,282,
114,747,104,724,705,586,429,312,528,560,259,547,940,100,455,030,931,687,556,
587,724,503,594,571,670,438,671,226,400,441,190,242,191,914,271,700,511,125,
945,534,521,258,817,106,592,144,566,165,237,267,713,477,799,135,382,611,067,
991,132,973,226,034,696,152,726,885,328,690,587,170,646,039,838,871,922,167,
436,645,643,875,026,275,109,738,060,323,803,408,328,268,693,329,937,707,721,
854,488,077,601,427,136,139,641,434,881,459,974,570,581,666,119,178,118,745,
701,210,732,222,674,610,858,399,478,723,985,509,194,872,051,617,602,735,563,
983,880,211,188,125,390,350,448,638,351,047,660,419,853,763,398,642,672,346,
513,797,921,776,457,218,280,772,697,695,247,614,186,830,380,720,503,958,098,
789,934,290,258,552,920,947,802,754,897,732,006,138,809,533,088,198,418,521,
281,290,904,622,948,822,823,175,596,509,519,904,213,166,211,981,377,181,090,
129,545,127,861,776,916,338,600,369,171,309,564,875,573,056,158,391,306,108,
568,523,918,293,600,339,405,365,399,808,752,179,845,512,670,626,074,814,442,
862,308,791,894,981,698,368,485,044,560,594,592,360,573,388,388,429,167,594,
744,514,293,537,403,842,709,865,370,860,171,269,866,680,057,277,099,936,019,
095,898,726,530,058,742,675,439,017,308,702,723,195,116,646,241,517,803,190,
714,004,290,369,301,536,884,117,497,047,357,931,546,677,896,088,846,044,793,
663,514,235,839,035,567,698,060,777,771,910,307,731,915,402,292,023,498,352,
123,830,957,914,997,272,366,961,145,270,274,750,215,263,244,824,401,260,460,
912,872,614,185,635,645,015,781,312,452,317,712,064,602,893,226,233,850,272,
492,102,187,684,362,298,877,040,006,772,346,690,593,950,397,521,522,768,625,
948,133,980,191,002,466,963,940,225,090,870,779,398,373,844,387,545,915,194,
902,309,290,549,231,458,910,489,642,308,179,749,023,727,867,575,217,871,346,
723,329,396,723,085,378,463,745,110,797,696,005,517,260,330,369,792,842,371,
002,667,107,069,316,977,462,009,530,493,748,039,746,374,846,788,515,966,086,
416,250,049,329,503,778,368,153,848,397,387,947,959,565,605,514,931,070,463,
480,644,335,146,250,113,339,201,206,572,345,628,352,727,041,394,269,965,782,
869,725,040,926,789,019,784,400,931,547,776,349,091,680,886,190,842,334,604,
046,162,113,491,054,069,824,473,658,419,925,151,323,430,125,001,467,390,183,
788,879,465,257,466,330,101,873,338,671,254,385,518,747,834,737,757,905,304,
686,052,465,211,285,442,058,893,494,982,761,991,700,546,172,350,341,219,953,
933,792,500,751,867,851,668,875,264,277,557,971,636,137,097,324,686,326,837,
299,835,702,861,672,077,223,022,669,571,069,281,060,959,749,437,404,362,541,
329,974,871,685,531,953,754,112,236,026,329,202,442,595,592,491,043,945,205,
770,767,876,620,257,656,480,144,034,897,724,633,431,702,840,188,186,473,035,
317,847,273,347,785,031,713,571,501,285,207,545,501,911,740,893,491,704,701,
864,534,149,355,301,013,063,977,460,319,141,106,708,969,633,889,093,922,488,
468,652,216,592,887,241,151,282,288,701,351,662,508,807,422,660,810,140,811,
795,580,923,806,160,571,326,749,839,990,197,614,461,384,450,558,330,027,533,
193,546,643,678,748,851,040,805,689,014,556,155,031,725,450,433,663,372,663,
223,862,683,148,094,305,797,365,413,910,570,865,901,396,416,008,188,380,607,
590,222,798,555,313,214,306,009,388,737,125,660,002,553,257,536,198,466,852,
517,455,365,172,014,060,477,158,049,891,053,516,717,208,093,755,362,076,473,
066,631,494,387,540,350,723,206,389,311,785,670,467,789,512,116,843,701,270,
408,144,326,133,650,684,302,804,712,471,792,692,368,969,685,216,808,397,578,
673,647,812,963,422,417,760,273,717,878,607,521,502,250,350,660,596,854,986,
279,098,107,618,541,235,792,563,413,174,093,128,973,612,585,557,281,304,335,
641,830,550,390,913,863,092,862,611,624,003,715,530,637,192,073,509,550,553,
795,839,820,956,686,710,719,626,846,838,295,717,676,478,646,924,953,626,509,
252,655,375,768,900,997,177,692,764,890,050,314,040,460,348,966,832,770,260,
515,266,832,544,502,924,677,824,517,953,795,537,439,912,674,084,317,096,142,
668,767,009,972,241,386,515,305,585,755,687,843,171,870,986,839,874,564,961,
657,260,927,200,018,564,431,242,102,232,167,021,909,886,223,961,769,161,705,
069,373,636,026,764,115,074,003,112,103,179,160,778,761,063,405,121,741,969,
425,386,037,373,175,306,099,014,560,092,061,607,017,442,424,679,359,511,082,
814,558,060,411,986,278,247,178,632,127,331,914,588,630,273,183,769,830,458,
800,100,209,996,201,134,033,188,843,592,891,307,782,184,446,101,556,084,331,
806,906,303,054,738,904,449,744,005,095,827,542,715,815,859,662,353,061,424,
334,267,025,980,613,247,266,219,402,295,198,098,756,777,936,739,737,335,765,
769,511,314,079,012,248,982,989,128,974,093,186,213,598,136,643,860,635,395,
041,091,892,208,825,997,186,891,079,340,783,982,105,120,600,166,179,510,066,
009,735,665,670,370,572,679,811,120,918,148,834,590,001,091,742,733,792,581,
236,090,151,187,940,182,763,773,738,707,721,989,192,452,233,149,641,175,149,
315,109,257,017,892,774,153,738,360,880,448,617,942,005,983,901,011,886,681,
860,871,672,667,170,697,543,183,204,296,915,388,108,047,767,983,410,450,651,
053,688,991,897,957,103,324,035,104,085,898,030,126,554,227,919,531,281,509,
349,243,229,228,363,425,381,458,479,570,597,818,470,079,067,492,316,696,623,
288,566,830,274,213,689,453,136,386,328,672,244,477,878,867,225,298,847,412,
360,035,876,157,925,516,671,176,789,894,271,063,198,696,399,397,439,490,344,
111,998,334,806,107,996,943,758,673,778,663,824,311,106,916,692,536,577,160,
641,639,648,638,133,588,925,358,072,305,958,378,180,965,887,979,183,521,287,
012,740,771,962,838,760,727,249,101,357,828,093,367,941,625,566,604,942,944,
935,021,913,322,866,753,036,747,944,426,826,760,538,210,903,924,883,902,308,
569,888,589,005,621,596,242,691,229,306,287,082,992,169,408,983,874,694,040,
607,425,418,904,643,284,251,118,821,904,982,946,210,940,367,753,417,688,731,
520,491,017,013,172,259,465,112,453,956,983,582,874,532,395,426,046,703,053,
176,385,947,683,502,440,013,240,620,251,683,783,658,400,985,305,384,474,416,
457,891,627,726,622,438,744,755,348,733,446,050,963,883,276,435,566,174,933,
401,984,109,220,437,131,294,158,870,335,637,907,011,026,456,409,382,625,689,
481,477,554,091,498,457,579,925,920,860,287,238,905,004,090,591,716,969,451,
541,421,450,890,389,298,916,005,271,307,837,544,660,358,072,479,747,566,311,
629,485,669,203,651,415,641,340,999,358,355,991,716,346,987,566,370,195,235,
711,577,290,110,386,729,114,547,846,897,562,884,279,499,779,685,328,922,041,
760,652,635,198,194,176,072,061,701,238,014,944,538,166,086,933,633,885,658,
253,446,699,914,608,296,645,233,212,891,617,927,814,354,722,673,047,404,838,
862,415,231,609,493,076,135,054,814,087,155,406,859,504,795,706,474,564,761,
693,172,985,142,171,460,016,097,557,462,193,701,069,771,265,915,108,179,451,
049,299,075,225,166,615,386,732,562,040,867,891,974,631,911,203,122,683,370,
330,006,044,576,945,908,377,975,478,564,686,084,624,445,823,465,121,474,535,
284,611,336,721,691,301,977,744,472,765,519,558,347,775,681,371,964,766,474,
440,524,408,015,603,141,874,182,833,075,414,349,083,245,833,523,033,273,583,
239,864,622,243,988,214,430,187,028,638,297,261,966,609,161,456,536,731,384,
506,647,749,204,559,795,923,525,370,662,751,385,181,060,601,385,417,815,394,
665,484,329,234,014,143,877,573,288,424,297,675,140,354,222,350,326,755,679,
671,905,831,481,058,509,918,004,961,234,030,637,278,144,310,953,004,949,605,
942,472,331,123,044,184,360,683,935,848,825,845,625,180,840,514,917,735,537,
936,041,827,605,106,228,190,925,675,711,899,469,556,861,914,915,047,591,435,
725,087,772,090,522,034,887,204,402,267,810,770,990,994,511,550,880,080,767,
840,632,257,539,049,210,195,899,604,013,565,994,869,455,308,385,445,368,024,
976,690,098,491,510,422,747,861,368,231,829,219,250,853,640,507,126,053,828,
290,862,995,960,045,587,506,967,200,644,969,150,758,790,364,231,349,229,004,
992,911,003,411,990,000,042,283,126,178,590,167,949,440,835,168,509,497,076,
662,413,682,645,813,586,946,394,687,593,870,325,846,177,736,152,172,710,475,
348,610,985,997,229,636,612,806,677,952,512,550,939,884,235,932,258,042,657,
108,508,868,697,749,291,954,050,335,437,605,356,687,753,052,838,624,501,032,
478,054,625,383,416,010,505,574,211,837,849,614,340,024,295,458,672,602,206,
295,399,517,337,785,943,632,662,873,090,413,015,786,987,054,797,792,172,414,
989,109,220,480,943,538,015,889,646,562,068,173,140,266,667,305,105,173,929,
944,954,782,562,515,849,714,614,844,042,990,955,395,828,243,979,360,994,135,
156,518,198,484,245,644,670,372,673,616,590,784,259,877,702,185,064,808,716,
266,946,302,036,383,580,898,162,374,242,004,464,673,881,462,544,825,037,962,
538,379,728,616,044,907,055,479,273,239,549,786,220,760,324,145,292,455,142,
214,808,328,176,561,361,994,866,978,563,332,189,740,859,612,331,439,445,198,
702,166,751,442,328,388,221,563,043,761,911,797,011,051,973,173,189,895,622,
361,587,988,860,691,757,648,687,909,084,305,964,147,542,108,998,005,463,114,
637,605,590,088,664,535,493,683,587,068,044,029,400,304,118,222,761,051,110,
109,330,652,827,926,868,106,003,466,593,901,514,475,158,069,170,870,053,948,
818,139,450,569,810,949,290,613,599,789,755,466,483,480,359,773,668,468,722,
715,225,878,977,782,604,325,575,655,166,671,274,882,066,782,159,361,189,109,
274,187,132,645,772,863,380,067,253,721,154,543,202,689,679,250,275,999,414,
926,798,334,454,097,756,540,311,581,058,359,408,714,266,740,503,894,434,216,
470,958,347,454,466,382,609,663,195,396,084,158,886,311,702,025,931,615,856,
088,643,837,771,550,901,748,835,983,330,002,358,690,280,161,847,365,837,978,
819,842,226,540,466,013,958,484,609,001,016,783,534,161,817,894,118,480,459,
550,324,002,352,605,863,648,744,934,290,875,238,944,175,141,054,538,570,256,
099,696,229,591,089,574,292,605,081,117,827,796,784,739,008,549,663,890,615,
446,669,035,556,479,719,842,698,035,118,912,306,136,101,899,312,523,500,256,
539,743,132,782,291,796,292,075,253,343,251,570,945,790,318,685,114,282,016,
996,105,422,824,347,070,484,287,697,194,115,108,313,958,035,996,414,283,103,
968,720,380,680,612,353,445,258,684,514,737,837,954,335,010,522,291,482,416,
425,776,419,895,400,544,486,120,057,684,912,633,334,498,311,636,303,162,353,
424,940,122,262,199,039,607,472,038,452,765,734,210,224,776,525,250,284,632,
265,619,230,239,517,657,279,711,165,484,837,899,234,284,205,619,312,089,339,
846,471,755,386,661,341,912,128,748,565,206,339,897,369,333,552,866,000,661,
812,274,964,753,453,576,806,645,583,222,511,316,465,176,266,908,745,910,711,
952,034,563,118,958,065,543,663,150,456,824,592,471,526,975,360,521,283,137,
011,799,285,823,748,926,621,779,832,474,248,800,571,360,121,724,769,460,847,
436,390,439,415,529,185,419,496,813,444,811,027,910,735,603,855,239,426,975,
617,309,628,864,745,984,018,854,563,571,245,018,046,756,886,414,927,825,224,
058,727,022,698,191,646,899,787,794,049,755,515,672,951,076,530,063,101,013,
391,577,384,630,931,075,182,483,713,216,324,320,791,253,347,649,608,904,351,
812,277,382,765,581,324,413,476,688,642,366,277,110,012,864,317,691,473,721,
096,535,132,370,458,520,676,384,700,678,852,620,224,922,903,078,927,138,342,
898,748,088,570,231,279,072,342,680,150,133,335,890,222,225,593,364,995,515,
789,451,663,596,236,379,342,545,800,341,850,220,884,841,898,090,074,963,891,
286,251,379,081,002,618,708,792,068,772,976,178,523,214,825,917,870,095,018,
611,452,906,236,721,551,288,132,622,949,355,956,284,962,199,404,801,986,071,
521,161,496,139,674,775,872,933,384,202,297,334,842,313,159,730,932,852,997,
483,271,932,561,916,898,877,394,706,345,172,452,707,585,836,380,951,909,195,
477,924,362,318,328,484,863,323,249,064,510,930,376,010,753,513,940,189,236,
874,921,379,736,782,820,014,888,942,525,076,254,548,013,561,647,986,961,428,
848,507,603,512,146,580,357,133,539,480,522,256,574,707,751,304,172,556,070,
788,968,384,203,159,871,109,076,970,751,836,900,897,598,668,946,888,250,822,
936,091,195,816,387,820,611,981,629,288,544,549,952,801,372,908,826,483,346,
708,961,130,888,908,867,202,716,038,551,414,324,140,749,307,235,005,635,715,
243,562,722,018,719,159,136,214,070,564,477,343,298,662,841,227,501,156,231,
015,514,944,683,807,941,292,338,922,158,616,299,221,878,902,275,212,682,577,
501,154,472,777,107,174,335,086,027,559,689,423,177,057,518,892,640,514,674,
998,297,894,302,167,549,645,410,084,318,968,790,745,896,826,780,165,669,542,
470,705,125,971,366,079,485,664,669,766,002,468,080,262,554,753,827,513,016,
182,677,868,766,966,121,944,599,686,360,757,727,404,883,757,910,398,817,907,
450,491,996,772,550,894,939,119,412,914,631,732,093,798,392,983,545,053,476,
987,989,614,771,065,724,332,361,072,686,011,160,946,502,538,163,632,966,810,
710,687,377,278,465,166,542,449,085,963,398,235,874,394,083,343,080,669,748,
861,928,759,250,428,453,160,657,835,132,475,937,586,371,103,906,342,068,253,
890,978,249,191,699,747,115,478,907,659,337,743,755,195,759,255,014,728,854,
009,299,152,922,730,391,538,926,508,674,530,309,123,196,401,643,707,982,354,
154,841,613,809,154,257,746,568,633,389,444,923,534,838,330,728,108,088,602,
292,724,150,905,745,902,876,552,165,503,508,158,843,397,717,228,548,244,405,
573,157,619,243,287,709,822,418,479,289,566,262,756,194,593,163,198,337,508,
465,188,123,120,227,187,326,465,195,694,022,903,186,498,787,440,994,891,789,
853,457,865,108,458,738,910,363,366,835,429,722,340,744,264,334,700,914,182,
338,243,195,033,958,787,721,814,510,641,512,296,589,106,275,584,764,578,422,
195,724,608,221,936,482,975,284,769,733,460,994,926,995,100,299,999,361,305,
747,311,723,792,342,500,580,050,820,106,820,223,169,243,200,480,211,660,691,
759,680,796,647,807,196,740,169,951,910,534,509,905,415,946,418,684,099,083,
191,259,377,088,080,035,078,413,488,842,690,910,491,396,808,493,324,332,969,
857,090,275,569,217,693,833,796,458,365,111,422,574,018,063,706,186,925,888,
851,824,934,393,764,143,807,236,228,851,997,913,146,582,525,407,373,900,675,
289,831,789,902,589,385,697,915,993,914,431,654,386,745,703,586,858,931,198,
745,276,648,071,307,050,765,959,078,554,714,248,407,321,629,307,891,735,006,
405,313,720,126,266,373,129,494,625,897,661,942,438,823,638,938,674,794,600,
906,166,407,611,120,887,377,087,562,623,273,559,386,815,233,155,143,845,414,
341,012,528,520,131,275,028,527,991,654,420,835,049,983,569,999,289,446,262,
419,786,635,349,821,049,170,716,636,373,528,140,003,086,297,582,746,673,418,
642,905,192,402,806,409,708,039,657,190,847,454,511,395,831,130,412,596,238,
356,376,217,499,182,889,189,895,462,398,940,468,308,736,042,190,840,117,460,
823,507,213,254,221,598,614,757,585,244,330,498,772,370,839,115,483,787,422,
109,575,952,067,082,500,682,813,631,432,060,993,286,808,489,833,628,635,386,
227,369,466,172,540,682,098,880,715,137,654,501,152,152,681,706,780,536,085,
955,134,964,426,748,966,498,834,060,963,687,415,579,471,467,325,930,072,345,
240,146,344,186,584,193,980,294,496,934,523,348,520,793,269,889,054,206,452,
403,406,784,228,723,762,057,294,201,738,104,986,059,943,588,123,962,899,357,
633,492,399,456,459,535,936,349,809,239,595,238,398,576,168,910,716,000,642,
363,074,925,619,233,901,602,372,164,614,362,161,141,250,956,739,723,966,643,
894,056,066,598,690,922,932,673,306,559,595,689,051,740,197,671,092,438,501,
886,866,335,842,418,095,764,157,582,196,613,798,124,111,860,817,706,761,842,
957,098,558,473,137,820,512,249,465,943,376,148,499,827,649,055,649,595,973,
598,166,577,569,635,195,477,316,144,751,000,115,031,320,955,944,601,442,418,
238,758,991,503,463,686,499,659,448,383,660,249,427,442,568,225,635,475,655,
854,129,120,334,960,605,906,706,306,854,095,601,083,334,174,421,665,456,459,
687,874,044,902,373,574,717,234,559,120,740,270,997,334,704,764,173,621,522,
867,181,053,386,227,291,696,709,256,457,238,573,509,306,990,311,900,273,538,
281,800,493,536,804,434,982,540,166,259,549,229,570,019,759,151,290,857,638,
778,758,590,921,794,555,243,840,953,107,659,991,727,875,995,818,108,296,611,
776,998,003,326,938,333,452,466,026,133,320,357,940,124,389,343,257,502,404,
470,388,318,316,917,565,131,972,172,691,795,798,212,278,551,178,424,425,055,
965,140,829,386,521,065,789,019,714,984,529,076,116,308,568,257,598,331,702,
229,636,252,575,109,467,448,645,219,293,959,104,243,130,094,900,391,367,548,
924,277,749,248,336,847,690,474,547,536,693,247,858,682,395,191,849,533,794,
948,396,647,523,423,747,387,007,024,659,395,387,335,772,100,661,955,819,416,
748,573,480,761,652,689,860,958,117,764,605,971,960,727,018,585,047,729,636,
845,152,358,273,428,854,838,171,336,813,258,883,953,423,159,059,911,272,426,
236,709,336,041,605,778,224,004,630,077,168,310,479,377,957,715,611,413,974,
097,916,559,735,125,343,431,864,414,234,195,135,481,280,070,643,609,740,325,
324,046,780,424,720,201,914,830,468,220,411,107,142,953,086,507,511,081,637,
130,873,615,036,118,256,094,477,677,151,118,470,296,596,553,131,229,556,785,
481,750,420,657,896,950,535,636,165,949,161,081,413,166,685,790,006,683,407,
592,587,286,252,866,467,285,551,364,419,932,329,035,956,548,029,116,222,577,
765,266,263,102,844,049,138,951,889,716,594,221,223,143,181,485,448,096,994,
575,850,570,031,757,009,490,280,243,227,129,212,825,380,729,878,296,677,208,
707,542,030,187,824,432,767,769,095,727,256,871,471,383,348,408,348,257,444,
456,790,279,207,962,054,911,032,062,324,256,766,934,817,169,467,907,700,766,
542,805,515,976,049,869,059,613,322,577,362,548,688,605,639,577,547,046,051,
642,885,558,218,221,666,025,100,324,319,700,378,461,863,632,099,007,722,780,
459,200,007,494,111,913,853,099,377,661,808,561,473,810,616,027,001,274,643,
827,269,806,346,846,204,175,620,539,872,395,209,559,574,451,875,024,612,670,
029,629,079,132,391,924,823,862,546,656,164,608,735,776,728,242,132,740,525,
918,857,448,319,253,480,136,953,510,184,899,281,170,065,486,629,197,749,540,
898,275,034,384,809,992,482,675,939,131,699,392,939,647,640,941,772,196,390,
800,874,546,635,167,125,336,949,595,008,271,062,949,018,696,634,093,181,010,
944,373,646,045,510,923,573,409,719,674,043,012,746,553,591,767,326,326,738,
031,665,519,253,484,442,183,633,390,054,822,857,921,454,782,892,892,544,742,
849,555,288,375,568,170,505,565,901,808,366,885,717,945,876,884,805,286,944,
283,834,460,232,201,161,130,912,860,911,255,903,840,360,361,637,604,569,432,
311,069,677,227,163,830,146,125,944,687,498,642,902,686,769,559,968,004,246,
067,241,812,989,591,106,040,366,826,748,323,001,005,635,933,863,648,061,313,
308,676,117,523,808,049,040,270,290,103,743,460,326,878,881,366,950,232,605,
667,329,369,546,222,256,682,533,668,735,760,106,797,205,350,057,133,166,322,
083,722,004,063,393,301,797,298,806,165,430,865,882,141,350,361,816,123,865,
728,553,098,983,876,176,378,090,355,807,344,043,073,524,295,584,628,666,376,
954,463,859,013,833,539,117,894,811,288,725,953,875,285,426,732,482,919,686,
394,245,046,145,676,783,592,434,891,530,222,438,731,933,616,710,615,269,979,
816,576,734,071,616,917,346,886,783,790,922,550,963,496,162,795,501,351,264,
346,963,911,592,370,729,136,995,204,730,724,427,660,028,643,294,436,989,066,
915,970,702,077,111,914,035,874,882,678,623,362,500,036,150,188,088,025,829,
682,784,953,135,674,130,550,857,726,279,473,004,808,363,803,068,384,021,339,
000,718,632,952,218,463,625,453,264,849,827,468,891,534,386,749,035,174,718,
957,830,075,528,324,596,211,290,084,204,936,394,632,936,941,192,952,487,716,
999,316,119,976,643,574,849,221,583,494,047,368,161,756,519,436,185,952,493,
572,419,024,957,175,292,751,141,176,649,255,830,964,401,570,554,185,367,214,
756,913,414,177,236,313,799,468,433,938,757,123,245,126,365,745,239,340,027,
994,370,358,067,538,527,665,483,473,964,802,947,332,766,165,352,538,056,312,
594,785,627,072,286,462,488,302,168,953,487,527,508,224,026,362,416,525,265,
216,485,580,138,271,553,134,719,505,935,726,552,077,176,408,392,654,596,630,
367,397,147,535,850,327,123,771,651,776,059,066,871,258,865,656,963,591,577,
755,478,500,525,014,605,023,502,324,468,903,432,911,835,959,468,023,305,198,
280,042,497,400,190,037,694,793,824,291,127,748,099,886,698,268,407,567,209,
484,093,219,282,754,449,672,412,487,190,271,058,931,065,861,804,161,208,322,
278,894,182,870,009,808,167,415,777,391,051,432,287,569,755,480,298,188,394,
686,103,431,064,121,724,497,190,136,667,439,580,527,515,229,810,781,927,166,
185,636,214,688,593,468,854,605,797,971,700,885,776,466,988,278,166,021,761,
171,646,605,674,929,680,713,626,000,981,411,972,268,557,434,481,395,428,214,
281,491,331,190,296,364,199,418,368,979,968,315,657,387,392,802,138,989,193,
407,185,702,942,052,623,910,307,718,678,530,928,207,937,743,351,907,990,845,
802,143,560,329,658,455,690,847,407,137,501,309,027,707,825,620,800,247,330,
833,072,592,053,766,501,034,873,806,747,173,944,344,168,387,966,957,637,964,
740,643,044,024,551,094,314,703,835,354,324,173,705,708,570,305,603,253,143,
582,685,797,390,555,064,125,859,051,120,144,876,059,000,852,613,922,230,666,
018,588,416,662,839,387,432,924,604,031,517,910,064,595,013,970,002,716,473,
039,184,310,773,782,493,495,651,640,228,151,443,918,919,252,754,257,424,692,
821,072,563,377,227,568,401,683,460,137,250,071,244,710,546,016,898,564,623,
542,785,023,157,111,883,918,000,687,956,378,620,874,971,776,271,792,449,025,
034,094,157,308,562,881,428,849,397,660,272,636,282,622,115,755,733,212,506,
354,140,074,200,306,447,254,349,798,448,450,782,365,248,121,538,199,100,063,
713,510,279,272,973,640,121,262,549,952,909,359,149,067,579,333,341,845,159,
258,480,863,168,714,045,392,644,574,333,403,972,725,794,555,463,838,434,436,
713,529,146,679,513,910,588,773,601,022,012,863,906,548,054,796,992,659,975,
446,040,229,331,516,414,637,602,954,045,035,134,588,819,810,440,024,539,351,
380,875,279,097,323,514,801,922,406,579,275,246,248,740,149,839,385,620,918,
083,419,220,226,665,728,681,384,536,892,345,160,458,315,549,179,805,807,230,
547,829,705,714,362,471,067,282,026,977,740,294,495,553,061,154,469,424,316,
594,730,162,798,034,637,897,404,667,941,256,277,671,243,633,527,891,223,038,
738,948,134,271,789,226,032,963,373,264,982,297,264,137,667,551,556,213,641,
293,886,318,924,688,462,891,221,040,138,258,322,229,301,122,660,188,792,662,
149,684,516,834,070,407,410,418,522,244,337,155,483,050,490,907,406,387,853,
037,364,440,862,156,723,293,687,092,591,252,426,885,723,463,113,111,336,767,
128,783,594,358,253,672,789,284,209,623,507,805,110,564,960,637,957,437,736,
814,973,982,893,370,806,938,198,930,102,854,332,277,913,640,904,946,701,757,
839,325,375,339,149,993,863,814,203,014,028,730,074,319,917,463,545,131,301,
914,805,578,513,409,906,672,913,751,126,153,297,864,380,026,541,973,655,984,
400,233,719,631,320,295,806,492,969,266,263,886,822,456,111,828,738,851,866,
391,256,796,517,007,452,911,075,610,692,846,440,117,882,071,385,273,908,321,
090,147,446,876,102,144,190,834,934,992,283,587,141,224,804,908,680,073,663,
965,574,668,406,047,258,110,232,068,611,009,152,757,832,460,518,861,444,361,
267,268,596,336,306,781,782,266,915,951,059,466,619,558,267,261,988,838,735,
846,144,125,102,496,996,635,380,742,415,436,671,260,341,780,558,302,786,867,
486,385,426,669,824,280,579,134,533,419,818,391,098,249,979,553,671,881,010,
712,232,740,484,409,748,722,169,283,722,751,148,111,431,640,215,829,891,600,
511,702,063,274,140,999,689,792,565,113,067,033,119,547,156,693,528,476,713,
380,305,632,570,610,334,704,432,980,936,725,955,110,986,667,857,417,186,021,
577,569,528,974,891,526,960,645,414,295,385,199,761,730,464,308,955,487,165,
962,703,953,014,283,904,833,767,401,590,558,800,479,535,549,808,978,277,888,
093,182,614,821,598,194,967,318,003,123,443,130,956,303,420,965,079,712,199,
418,983,864,763,623,464,439,143,172,751,358,033,825,793,715,389,671,853,746,
979,641,544,962,747,536,069,821,987,401,794,637,225,619,608,930,697,691,909,
589,000,437,210,435,101,459,647,050,313,728,386,214,722,592,999,104,394,293,
808,358,782,205,343,871,575,353,679,692,408,215,180,408,024,058,916,767,606,
633,233,518,973,258,504,979,843,388,791,402,455,852,373,259,278,073,885,233,
362,259,129,648,122,781,139,380,530,268,894,822,623,769,652,414,730,806,687,
263,612,270,077,513,278,028,797,155,283,288,289,603,960,261,813,664,918,980,
811,344,223,282,227,790,523,939,027,808,121,369,073,781,644,127,135,512,393,
875,510,910,120,745,020,588,773,247,977,244,396,671,150,182,538,500,146,842,
066,060,713,074,141,544,553,782,012,211,298,641,566,221,524,826,793,311,633,
564,037,101,544,678,413,953,154,845,599,667,366,807,218,685,275,530,501,392,
253,940,396,361,684,562,579,556,454,685,621,922,440,700,243,306,658,788,386,
243,706,877,992,562,130,314,360,008,624,328,035,474,624,089,950,261,303,157,
056,229,812,029,494,106,204,408,737,816,925,022,268,744,739,392,956,219,904,
383,490,604,509,283,727,951,408,066,943,114,983,608,699,586,862,111,561,191,
450,989,863,399,406,293,645,552,609,984,569,385,319,998,538,301,993,172,435,
160,104,950,617,166,757,968,788,376,603,183,657,787,347,410,474,016,236,168,
616,411,466,463,975,779,263,785,829,142,899,502,616,497,282,800,520,637,608,
759,576,527,735,792,990,614,524,348,050,035,826,824,392,271,777,857,042,121,
861,763,367,270,269,246,087,077,908,159,302,876,196,320,501,378,720,501,468,
845,945,966,912,687,655,381,562,308,997,768,863,793,114,003,416,090,578,767,
603,447,370,277,350,526,450,292,874,512,147,502,966,798,329,823,900,827,764,
120,813,127,145,516,478,116,590,452,423,595,929,444,975,432,843,603,053,682,
510,336,335,920,819,433,717,847,728,657,509,053,295,750,942,870,851,740,917,
398,067,968,897,422,710,668,906,257,836,018,263,016,633,217,353,512,390,547,
666,521,895,794,562,928,333,775,687,653,239,411,624,162,129,551,967,775,284,
758,990,204,384,219,669,694,292,035,213,592,339,256,276,666,891,617,493,196,
698,400,966,748,985,692,555,458,528,315,444,969,998,306,681,508,342,452,074,
255,122,774,957,279,182,507,327,461,829,608,119,051,839,275,297,880,726,432,
945,757,630,858,744,491,926,805,881,845,520,166,343,963,696,894,874,449,930,
235,149,281,225,675,455,061,268,576,787,237,424,625,055,850,430,271,424,164,
700,793,559,262,442,666,358,019,696,214,271,164,122,829,419,243,550,328,953,
321,301,405,146,694,948,558,173,020,465,295,128,777,945,343,763,022,432,148,
357,272,063,384,252,987,626,813,702,247,208,459,562,012,658,325,986,824,192,
510,340,169,510,283,814,382,079,631,145,517,927,356,519,953,502,651,903,724,
984,326,462,552,547,761,446,708,728,218,110,283,536,556,924,700,293,887,098,
686,049,942,063,491,543,019,500,712,824,821,610,327,651,218,818,583,249,365,
182,671,223,667,854,741,069,381,967,209,682,599,261,945,894,864,350,055,201,
563,616,637,858,977,053,813,975,020,652,775,832,631,131,439,561,516,451,314,
014,740,516,573,050,232,127,489,813,028,828,393,944,357,596,294,849,555,755,
015,239,731,162,172,743,506,732,245,230,056,377,623,285,628,808,003,957,845,
003,948,116,334,513,881,227,690,114,553,976,456,632,960,174,519,453,487,320,
266,063,675,600,130,857,902,793,732,941,123,206,525,425,864,320,200,473,891,
478,090,799,487,716,206,764,620,775,132,065,739,276,398,302,447,144,737,690,
998,632,661,716,773,192,594,927,477,841,312,915,544,055,915,811,199,263,166,
814,882,889,837,497,458,486,112,221,831,011,927,267,244,375,737,208,018,868,
946,361,522,543,792,885,792,294,010,556,728,688,027,346,426,335,021,607,697,
412,705,368,831,443,072,372,687,103,090,972,710,997,220,440,273,315,260,357,
517,370,428,683,735,603,483,431,051,696,850,557,820,587,954,877,799,192,108,
131,081,091,431,834,422,238,326,590,540,251,015,165,469,365,212,506,310,636,
520,294,202,252,151,528,592,766,926,927,328,799,646,865,162,227,509,079,272,
638,239,905,454,229,591,463,369,530,770,402,093,341,729,013,984,646,441,711,
304,072,709,456,550,314,264,168,934,893,461,357,010,016,185,335,832,149,029,
318,445,102,958,051,816,129,277,839,193,998,979,832,292,602,755,243,025,719,
577,492,776,838,263,446,584,461,616,485,689,986,391,134,191,050,403,099,070,
261,465,634,660,081,863,088,453,092,212,230,025,628,806,425,248,716,077,892,
202,911,623,060,515,009,476,149,399,444,789,443,421,916,762,712,504,825,834,
153,746,790,554,257,809,331,062,539,538,345,852,454,638,551,363,409,323,072,
642,446,566,431,613,289,485,137,139,856,381,678,929,623,861,498,364,060,587,
147,089,171,880,018,650,158,369,231,482,774,039,517,063,873,300,154,264,286,
543,729,461,641,265,163,722,674,171,507,947,990,946,954,820,483,570,248,906,
977,413,483,103,149,325,026,435,417,135,627,608,599,572,012,007,006,643,510,
265,679,530,018,359,770,162,712,286,123,742,918,393,799,392,189,342,743,807,
869,382,764,534,210,978,685,221,424,598,033,494,013,849,250,618,979,554,331,
720,144,272,011,567,749,032,353,239,802,308,025,638,282,215,579,311,493,733,
490,264,994,123,778,263,316,810,702,637,025,975,822,057,677,790,725,669,158,
240,513,883,611,125,996,107,007,847,468,198,131,280,033,574,377,877,234,990,
463,061,009,016,067,109,526,457,845,751,429,138,498,597,713,251,064,934,438,
648,963,563,598,526,376,186,251,289,989,296,483,893,814,163,251,097,751,823,
876,936,638,241,971,054,340,660,653,878,257,780,784,479,432,270,675,376,833,
011,577,060,762,421,216,813,655,047,071,334,492,939,008,413,007,236,841,370,
101,031,093,458,111,615,153,236,490,346,284,773,387,999,818,831,161,301,147,
545,305,302,613,475,150,583,718,068,478,089,454,687,751,377,218,169,688,033,
821,101,914,776,175,059,097,919,290,985,603,421,114,820,579,257,495,004,914,
303,995,924,255,509,334,080,275,875,948,586,763,382,903,933,208,201,634,334,
455,335,232,052,363,932,468,851,774,363,573,912,696,658,538,750,335,116,699,
153,147,399,391,639,499,509,125,839,212,750,476,954,882,023,151,861,207,610,
396,822,621,221,006,823,009,515,908,969,820,214,236,442,938,381,380,440,972,
907,514,376,311,900,620,551,223,515,508,153,910,209,699,482,143,391,162,032,
069,747,123,833,038,365,720,073,313,736,151,244,623,297,908,235,954,193,535,
303,935,952,576,384,376,685,755,111,203,809,968,244,787,412,848,530,606,107,
916,925,430,315,763,579,700,650,842,645,723,191,714,724,259,048,096,581,212,
508,160,081,388,594,651,903,452,231,738,354,622,160,069,071,335,860,545,949,
817,548,870,526,533,304,385,426,803,342,734,065,282,323,883,681,888,480,598,
068,489,310,526,185,128,989,958,775,895,990,003,815,020,460,302,887,771,511,
859,777,039,049,758,000,370,299,851,277,004,303,973,616,801,501,995,325,575,
200,681,427,983,037,412,041,064,689,808,878,620,864,412,078,332,459,752,626,
508,958,999,128,313,772,030,409,528,615,486,527,935,098,134,125,690,014,979,
069,407,848,127,784,551,451,514,060,228,950,446,660,288,540,730,935,695,822,
739,122,343,505,305,349,295,440,670,373,611,731,975,874,212,050,859,861,420,
803,525,974,080,873,844,764,194,405,477,057,814,615,566,169,367,150,762,654,
851,216,187,868,103,396,247,506,950,919,318,850,060,414,393,225,591,121,314,
468,938,219,698,441,994,154,146,597,933,451,110,768,688,868,283,541,200,415,
993,724,005,961,725,501,668,027,579,971,430,428,504,050,543,400,808,678,705,
019,379,131,185,041,309,373,182,529,795,368,417,305,478,540,770,761,938,145,
152,366,267,152,475,797,238,117,157,921,586,812,983,727,699,027,195,729,066,
488,342,875,136,667,257,893,497,943,566,047,214,473,405,401,977,969,241,561,
925,075,543,317,471,175,831,427,160,129,126,755,048,519,832,095,588,971,567,
034,854,243,434,296,616,092,009,532,563,188,496,321,333,687,754,366,161,971,
893,690,149,400,277,488,188,861,203,285,761,882,582,007,446,339,746,614,714,
571,694,353,409,116,886,700,093,191,261,547,194,869,847,636,458,950,179,056,
652,987,133,875,488,552,877,857,272,184,802,612,180,577,307,370,253,423,616,
907,393,522,799,634,408,529,971,212,386,461,948,314,515,141,538,785,010,422,
190,707,573,353,189,850,138,745,472,238,481,540,025,263,296,816,455,066,551,
380,436,005,513,081,994,250,926,229,442,412,382,050,424,763,707,169,249,732,
989,618,013,216,245,241,137,265,668,445,264,580,136,443,328,855,211,477,756,
235,576,219,320,239,449,022,437,412,950,022,041,502,076,721,386,412,912,524,
952,104,233,195,878,676,954,813,598,313,765,125,847,018,642,089,304,122,646,
804,357,795,761,668,482,762,422,395,158,621,561,915,957,330,634,462,209,690,
808,356,421,078,746,267,150,250,805,928,423,495,648,558,912,574,015,773,578,
110,555,088,530,541,425,088,016,660,065,854,896,926,674,864,327,229,807,568,
465,522,084,039,158,628,759,198,123,892,597,240,672,493,863,614,005,925,049,
497,684,839,184,891,330,075,905,777,269,822,408,586,808,380,515,432,927,121,
194,602,783,246,375,524,295,907,840,357,893,671,056,135,217,608,271,569,666,
610,804,867,597,128,746,224,165,168,125,945,687,200,701,444,781,405,845,305,
437,138,816,313,805,823,194,858,623,625,410,246,690,002,131,274,585,208,852,
143,376,075,907,193,757,576,751,286,149,551,285,074,327,512,600,802,072,323,
846,516,027,418,445,871,317,883,563,749,853,847,215,156,765,768,680,611,275,
173,621,066,802,366,451,105,763,629,613,188,733,243,264,888,462,887,013,619,
937,430,056,669,422,973,199,076,318,271,685,994,047,473,137,008,622,280,553,
054,476,520,126,809,080,057,341,505,361,654,718,503,571,822,898,485,826,262,
713,466,162,273,771,847,417,207,021,443,141,167,946,026,211,432,388,361,391,
303,775,521,890,426,861,606,279,504,783,814,285,806,728,136,513,918,087,832,
937,207,397,903,982,700,769,136,732,060,927,890,072,049,323,732,704,566,457,
547,665,356,110,819,694,031,975,251,243,835,616,038,526,282,681,718,299,963,
038,501,335,973,443,419,562,320,907,839,186,087,319,539,725,985,089,887,290,
904,100,229,894,947,935,274,698,380,399,507,841,795,174,935,214,924,724,573,
496,923,059,744,600,960,148,021,021,518,104,590,022,750,857,413,015,934,047,
941,362,679,821,499,657,927,356,128,755,598,597,906,991,606,263,273,134,719,
442,226,305,385,953,828,878,472,330,586,389,207,163,867,046,090,473,451,105,
563,981,192,288,907,870,453,913,064,579,573,596,448,748,686,809,900,969,430,
690,795,023,898,456,217,044,396,245,247,493,436,094,517,653,482,659,867,471,
263,886,958,278,498,747,458,798,779,572,428,519,857,643,676,520,690,810,095,
756,470,164,408,047,046,091,682,612,278,085,493,830,809,845,561,856,938,761,
485,751,191,761,005,846,024,667,883,786,629,960,160,959,427,604,552,424,740,
756,839,089,777,747,758,372,614,469,810,464,568,390,975,464,911,802,752,930,
516,738,803,419,793,704,953,553,173,868,036,427,680,710,533,286,809,495,430,
981,618,333,837,872,433,522,067,361,495,524,540,017,745,624,147,544,867,892,
181,301,877,707,862,732,824,245,149,318,945,456,184,394,675,064,557,909,328,
874,946,155,800,764,633,616,285,028,123,535,480,315,631,205,018,742,939,199,
838,269,253,800,889,461,162,353,615,625,385,921,382,766,587,722,913,942,967,
407,862,112,781,435,738,231,319,076,009,101,320,330,224,636,535,095,368,697,
848,878,234,210,362,372,169,246,006,391,698,255,893,012,942,216,537,056,011,
423,019,987,042,370,951,723,020,591,644,290,941,860,590,707,934,912,168,595,
988,231,234,887,176,906,093,155,427,869,508,444,282,696,455,519,478,913,666,
657,367,728,816,144,626,768,099,474,661,484,973,311,854,231,050,454,018,645,
475,326,383,808,523,817,779,564,476,674,365,574,785,704,621,950,875,920,012,
047,895,792,112,972,683,194,423,468,704,791,649,116,510,382,872,801,357,239,
473,643,914,465,386,323,973,345,061,483,951,383,423,818,252,340,375,990,779,
932,546,413,919,629,595,720,503,128,126,658,850,903,072,109,692,237,909,626,
038,334,084,130,258,533,237,664,340,116,988,716,132,045,666,845,363,917,638,
479,106,795,672,896,952,896,266,189,108,244,283,101,053,616,165,035,696,759,
459,119,964,703,296,715,768,822,138,236,075,881,953,191,685,669,567,693,064,
158,407,515,133,096,024,048,350,066,360,699,438,127,563,419,228,118,284,445,
154,292,739,134,257,972,524,256,539,099,116,185,359,219,646,101,798,996,319,
209,478,303,705,226,384,395,680,869,104,948,560,006,068,319,708,993,539,199,
957,179,714,645,332,897,296,350,482,157,571,098,109,300,796,852,067,981,363,
569,586,729,316,674,320,850,370,779,964,036,590,461,810,183,195,218,248,285,
534,861,977,048,037,324,875,756,260,360,937,169,018,261,441,028,189,761,803,
891,506,831,405,459,307,821,002,995,948,832,323,487,013,806,595,252,975,142,
746,896,110,058,939,350,342,987,332,363,212,639,373,176,784,562,659,878,929,
585,688,832,242,066,548,595,596,830,011,233,839,266,367,224,992,826,517,336,
089,335,904,743,227,679,167,957,149,414,240,963,094,003,499,840,747,190,121,
761,590,017,971,983,744,119,741,972,647,426,242,909,201,322,728,946,195,145,
652,278,892,150,434,313,168,330,803,553,452,754,057,308,722,688,941,716,746,
994,190,644,189,064,475,484,936,194,210,492,190,887,344,897,328,818,662,158,
652,101,433,631,587,991,551,434,116,886,726,720,975,360,480,634,201,096,604,
942,789,970,061,883,126,192,906,761,064,990,518,370,531,945,781,594,543,188,
736,902,411,810,227,294,582,286,394,383,061,688,178,070,194,862,987,235,122,
022,232,074,230,910,504,777,916,786,583,943,145,262,327,725,519,522,480,111,
672,974,582,276,831,668,586,754,023,626,829,068,411,490,813,674,922,924,030,
168,811,477,509,063,330,306,882,661,261,910,032,079,168,861,151,111,513,708,
656,713,427,891,233,531,170,666,137,507,945,890,924,187,808,548,480,165,298,
312,143,313,610,980,567,114,899,037,918,767,747,936,139,690,853,578,025,090,
620,486,014,663,976,620,187,413,788,957,466,100,542,270,292,220,591,192,323,
870,543,623,061,032,962,567,745,011,727,213,054,054,457,581,166,675,821,118,
632,985,054,800,668,499,671,657,605,452,426,122,615,261,350,091,350,801,334,
931,303,943,794,093,191,446,106,978,396,723,188,118,124,160,197,385,077,027,
982,844,659,768,447,743,869,836,045,869,669,792,789,552,531,877,259,621,404,
587,760,986,023,424,653,684,579,673,466,270,360,142,967,447,148,681,383,728,
162,916,685,810,594,089,307,664,316,042,433,196,481,376,716,935,741,841,347,
279,925,392,997,653,323,993,525,825,123,758,144,329,691,736,978,162,145,643,
719,586,206,413,032,699,267,903,483,365,544,813,461,412,036,332,150,923,176,
753,854,648,368,684,707,363,865,477,329,298,515,522,282,847,383,911,140,636,
332,360,546,275,858,375,801,304,570,269,735,160,374,036,435,703,900,996,268,
422,000,847,966,806,516,338,527,907,156,346,823,463,684,207,199,502,802,600,
881,690,991,720,012,952,094,581,447,652,995,451,205,199,177,060,265,925,021,
126,485,493,124,078,893,968,965,553,484,078,545,114,132,623,832,871,868,134,
131,513,662,365,229,055,875,862,705,679,528,874,121,187,474,578,754,810,716,
837,266,107,099,511,898,613,123,110,445,547,154,159,970,135,496,641,342,402,
820,052,937,192,477,029,597,632,851,852,664,073,022,468,280,636,091,598,712,
440,215,121,864,666,834,735,411,786,788,097,003,867,891,614,043,370,422,684,
041,282,845,378,035,461,423,361,798,608,454,254,419,458,880,144,343,173,834,
349,709,601,552,546,172,048,726,307,065,746,173,960,451,156,493,485,045,206,
351,407,431,561,959,006,874,129,099,796,890,432,169,447,429,406,865,531,596,
683,802,077,491,903,735,973,782,918,692,182,925,965,244,428,155,308,246,673,
728,542,371,951,489,798,853,561,435,106,714,925,529,677,059,414,176,676,233,
862,360,904,498,980,091,611,895,323,069,266,759,312,892,562,350,743,464,336,
524,743,172,497,993,655,658,549,508,722,978,990,702,848,233,417,104,542,071,
985,467,887,155,621,277,069,700,376,370,530,946,450,264,103,396,612,099,172,
786,325,780,250,304,246,331,195,924,479,141,853,601,888,548,428,581,900,204,
612,288,173,228,104,274,091,833,888,834,804,893,644,249,054,495,452,844,523,
984,799,121,895,469,656,684,454,795,228,312,804,269,743,023,073,766,199,213,
967,885,893,677,124,075,035,062,751,980,824,153,962,118,758,845,723,947,774,
415,900,962,928,009,593,386,528,683,634,540,693,501,965,180,622,448,277,660,
168,884,878,556,575,534,303,349,442,429,678,261,753,414,040,620,130,474,195,
914,718,387,279,504,424,577,142,908,725,948,407,367,928,763,757,746,057,402,
700,994,064,394,215,394,489,068,104,256,699,380,214,940,632,884,658,616,851,
820,857,099,837,844,511,880,195,425,272,892,969,218,091,682,070,134,251,061,
023,322,923,664,107,072,758,211,829,292,944,135,899,292,933,723,990,019,011,
345,328,293,595,430,113,645,489,283,770,368,105,233,105,486,429,061,239,092,
752,251,439,681,369,671,609,602,070,075,731,086,949,223,478,235,699,724,058,
483,592,242,573,326,017,841,277,073,621,509,879,708,054,121,666,590,793,642,
579,515,499,028,951,702,113,614,456,445,075,785,472,716,021,930,753,151,383,
947,557,484,431,690,940,992,892,134,645,303,510,541,471,973,205,947,606,514,
701,133,593,194,611,376,591,404,192,090,056,024,946,127,605,887,982,327,555,
819,541,235,426,229,461,659,216,616,597,908,770,377,462,918,659,860,032,984,
891,075,058,341,777,493,146,192,690,463,198,092,380,103,520,932,433,400,991,
881,437,702,017,408,879,482,092,277,034,790,104,843,733,111,365,101,869,497,
041,120,789,716,807,880,355,615,175,188,650,772,729,397,787,352,178,091,780,
435,759,410,577,646,800,297,677,646,927,231,018,720,841,178,353,039,463,622,
569,248,219,932,338,267,081,749,779,661,879,298,138,689,522,046,619,222,055,
544,093,562,897,022,501,879,939,269,666,613,898,621,275,980,211,862,303,626,
701,146,879,835,519,724,996,870,907,660,062,503,127,534,036,789,843,944,611,
817,904,063,160,342,540,639,662,427,827,472,804,785,417,072,577,215,976,755,
514,563,935,366,718,805,695,425,410,387,012,923,466,370,288,901,229,455,008,
251,124,088,280,657,994,111,751,287,523,462,612,593,090,054,608,872,090,539,
456,753,716,787,906,813,890,745,350,312,485,386,712,518,721,741,555,661,618,
048,215,107,785,151,924,755,576,895,067,256,299,209,856,226,132,725,893,281,
906,800,907,764,159,286,605,504,178,428,626,595,255,077,155,956,813,153,064,
165,932,496,736,899,103,851,463,235,498,223,001,142,624,598,084,588,134,864,
512,209,887,406,599,032,665,839,956,264,867,677,298,554,082,866,413,009,268,
862,114,506,766,810,010,020,488,972,037,727,220,410,924,950,186,176,673,626,
210,275,654,961,528,682,015,033,546,658,870,089,348,325,734,605,578,780,109,
496,053,309,937,156,110,731,264,914,312,888,166,524,685,919,128,796,256,606,
411,279,306,548,910,306,007,405,882,092,404,719,929,415,895,773,348,848,499,
884,086,580,480,719,455,133,480,163,814,428,629,647,603,249,605,319,018,349,
700,185,870,245,304,997,457,083,747,645,843,500,731,255,079,903,182,149,245,
727,457,631,490,416,092,767,338,433,630,298,909,852,626,833,574,201,995,052,
900,841,260,609,126,347,088,669,278,650,407,240,538,979,513,155,570,160,674,
832,019,613,917,982,546,089,615,355,971,497,900,397,279,447,945,918,803,829,
215,955,666,330,509,257,948,896,299,472,479,063,199,751,236,822,787,098,761,
223,416,781,467,492,739,676,576,548,977,629,403,007,424,821,144,735,635,441,
019,432,033,819,427,872,664,896,159,517,092,233,015,971,224,976,036,255,215,
231,072,714,830,786,951,354,304,995,830,370,948,214,745,506,572,367,363,000,
591,448,968,450,298,543,678,035,205,603,334,851,218,541,427,657,932,042,328,
118,265,073,335,972,966,907,145,263,325,554,388,305,128,690,062,069,223,547,
408,871,272,209,919,178,016,909,900,346,893,578,722,176,456,467,971,053,454,
810,977,561,710,315,948,500,975,574,104,192,337,755,063,711,644,955,067,450,
927,375,179,887,115,200,984,015,945,060,365,219,666,957,858,034,250,483,435,
005,745,054,477,159,974,894,746,564,156,247,942,091,982,649,010,864,249,878,
845,224,830,330,708,452,976,480,078,644,055,212,134,684,196,507,161,265,003,
071,008,130,333,864,268,588,740,333,061,175,762,320,948,833,683,919,094,182,
615,028,528,119,183,144,630,940,047,827,446,650,582,378,172,291,250,468,733,
316,486,030,026,163,441,420,016,055,588,480,171,812,766,597,040,539,276,381,
674,220,442,064,318,705,714,267,745,723,644,587,164,103,260,208,333,563,650,
414,485,938,940,364,654,133,273,257,513,065,696,963,472,584,675,732,947,180,
654,044,436,493,056,070,314,954,303,763,355,944,630,936,409,330,872,660,352,
483,071,117,294,940,188,238,328,358,317,344,468,806,985,788,708,039,574,277,
076,829,965,815,161,277,404,344,243,854,704,622,275,539,036,572,334,541,949,
380,502,128,740,173,047,127,240,574,286,627,310,317,735,903,469,346,159,056,
211,394,071,263,109,344,392,315,886,808,293,788,801,663,630,217,812,138,208,
493,223,944,021,023,247,742,385,945,088,169,065,051,627,958,397,013,298,230,
105,656,195,023,350,870,725,651,482,962,101,829,978,129,793,231,597,594,668,
320,863,650,736,549,362,382,739,198,032,024,571,969,474,189,128,188,759,316,
517,132,524,367,955,953,447,538,489,201,744,699,918,741,025,034,879,696,248,
919,487,921,882,898,056,861,793,087,724,950,790,508,175,360,971,354,628,753,
902,688,267,330,573,460,404,508,167,671,641,433,083,342,127,997,130,443,574,
602,257,736,029,301,147,276,903,917,955,970,759,707,530,254,610,292,022,916,
665,173,687,302,997,475,430,663,204,651,425,290,084,467,727,882,016,267,970,
550,931,316,976,431,827,580,265,237,435,094,795,687,258,085,531,791,532,230,
575,557,013,668,850,386,782,211,659,129,149,763,385,596,843,876,229,147,706,
779,338,807,097,793,618,294,060,644,254,753,775,339,770,112,794,761,867,614,
226,433,008,488,078,556,772,834,734,541,582,602,433,146,471,139,849,528,736,
037,910,403,829,052,432,531,946,913,678,191,189,640,401,788,044,387,886,672,
674,658,772,898,101,587,280,072,097,063,062,623,898,659,336,589,688,186,810,
052,633,954,879,946,136,002,179,317,272,334,684,920,233,618,896,354,920,634,
502,731,106,906,507,606,200,958,552,872,592,079,956,750,812,569,603,367,007,
933,826,358,065,533,820,006,173,788,563,243,425,884,516,597,138,877,792,237,
842,011,102,230,621,068,016,172,659,703,033,773,989,457,635,731,325,785,848,
269,200,379,557,484,102,735,330,884,570,615,313,776,047,921,799,037,349,729,
410,878,731,969,465,325,831,289,299,996,755,277,143,101,858,281,674,717,168,
901,951,967,148,038,311,255,248,070,775,248,010,288,225,316,233,034,993,224,
887,672,680,397,543,666,495,192,093,148,330,209,631,460,381,612,200,968,317,
977,554,212,336,188,146,419,798,333,625,514,325,574,271,990,603,091,510,099,
947,460,636,000,481,268,023,280,073,423,709,491,053,754,254,415,543,497,607,
514,724,926,760,590,368,221,189,722,106,123,987,508,256,161,781,357,045,202,
757,164,673,627,779,195,590,048,591,302,447,169,563,462,532,197,483,363,368,
883,569,674,381,399,680,956,201,304,197,770,595,686,230,921,178,156,690,439,
940,174,380,725,815,494,097,004,534,888,811,085,586,824,802,599,717,195,029,
136,348,741,096,738,503,343,797,789,011,616,568,979,871,650,966,569,710,882,
230,741,945,461,350,513,520,966,441,138,879,514,819,776,607,184,995,966,275,
303,195,116,419,121,209,034,127,377,831,411,976,254,578,051,933,073,677,530,
473,458,514,919,427,353,143,218,942,681,611,286,554,061,296,684,478,610,918,
638,868,297,444,202,091,321,974,319,753,294,665,413,057,553,009,433,409,148,
172,967,107,850,366,767,814,514,356,645,991,779,427,733,727,834,490,226,425,
419,651,212,358,993,413,894,628,247,730,606,718,919,659,929,637,355,228,773,
388,319,274,075,329,275,856,814,531,917,453,999,501,576,812,836,445,212,365,
550,037,986,861,754,242,312,958,428,728,984,926,422,823,072,178,162,763,862,
481,909,610,068,056,462,096,174,432,064,224,161,914,434,075,662,444,569,322,
527,168,163,277,153,919,194,516,610,950,606,466,075,287,660,824,891,674,832,
577,398,274,904,944,313,513,432,489,421,430,087,906,956,469,513,844,404,998,
309,770,074,599,740,883,157,638,307,375,333,255,455,811,169,057,675,155,192,
097,437,416,393,107,999,795,992,443,744,173,550,434,296,617,833,313,939,333,
527,426,656,342,320,148,519,097,717,968,807,363,323,520,609,477,635,625,598,
179,480,853,026,155,728,159,376,515,269,761,005,344,813,364,814,100,811,219,
735,031,906,818,857,787,796,872,992,646,392,550,361,826,784,045,200,359,858,
001,530,559,503,314,152,154,401,134,598,094,577,242,271,285,006,981,173,023,
492,677,658,916,401,575,322,215,500,028,215,585,699,750,420,355,081,435,529,
475,373,177,962,667,530,023,660,667,414,182,557,083,951,556,636,527,340,823,
452,367,776,318,360,871,542,551,767,212,590,690,802,639,247,612,495,973,313,
783,992,687,054,537,373,807,868,809,377,334,575,365,019,922,802,612,080,944,
633,451,162,438,238,262,896,906,931,954,614,708,296,187,522,284,819,682,495,
336,040,412,178,899,072,308,374,338,429,686,031,426,345,676,139,569,567,056,
613,499,921,528,207,375,172,776,223,987,688,786,468,631,641,921,416,139,020,
681,454,184,779,042,852,531,074,087,562,063,742,473,222,814,341,534,915,894,
343,437,669,602,515,044,399,881,833,309,258,666,613,380,076,889,465,754,600,
734,114,900,921,191,267,009,916,294,282,244,987,128,051,662,180,427,446,837,
218,780,380,545,105,955,735,238,200,043,294,223,287,760,085,753,771,207,336,
543,424,325,685,454,804,411,354,518,047,806,872,200,496,085,667,161,398,575,
125,574,000,214,746,667,373,960,180,670,462,906,969,543,965,578,824,717,848,
816,583,129,882,193,239,017,216,513,880,629,026,107,274,056,555,054,260,656,
861,737,318,285,134,304,843,720,704,933,388,518,852,124,190,573,798,810,941,
552,766,829,809,740,891,002,171,459,786,665,445,002,397,426,818,286,714,607,
854,584,800,271,040,197,358,041,632,288,986,375,374,912,524,257,791,607,840,
729,464,494,325,619,834,918,784,368,084,620,844,198,989,769,430,068,797,684,
447,965,477,610,516,920,769,629,202,117,235,848,667,062,393,069,604,393,862,
187,798,256,656,215,547,642,003,761,258,889,271,120,870,088,745,403,027,473,
597,662,293,531,607,230,365,642,127,038,999,776,835,808,392,155,742,079,971,
358,906,294,357,820,278,073,555,851,432,345,165,821,771,520,317,388,247,161,
407,876,197,117,817,674,233,261,391,953,483,849,616,300,329,163,310,599,939,
475,592,083,453,974,565,648,044,946,957,866,662,327,323,772,937,839,061,640,
841,038,446,468,822,909,119,455,703,016,580,207,045,903,619,888,200,022,482,
373,453,102,890,378,634,472,828,359,706,537,810,690,546,383,668,623,035,354,
897,368,312,963,014,781,984,796,167,196,883,291,080,221,460,141,568,747,921,
835,230,307,729,959,230,494,605,816,879,582,935,860,393,861,764,143,345,469,
628,761,242,055,782,143,871,962,734,634,685,330,392,168,361,581,130,019,717,
582,865,510,546,629,219,932,254,141,493,516,401,519,208,051,716,503,775,320,
482,400,576,842,724,653,721,063,782,592,260,609,923,104,643,832,414,773,166,
152,840,026,721,652,352,568,990,189,730,786,642,258,565,912,843,995,179,386,
389,194,113,533,964,492,870,301,099,525,710,100,641,308,984,565,418,459,919,
101,925,591,360,565,026,738,210,271,608,679,039,932,572,576,620,228,688,496,
004,557,993,318,381,190,312,276,481,082,629,706,048,047,705,694,930,476,953,
187,223,012,056,218,383,190,428,382,526,839,251,704,024,928,139,414,404,346,
566,524,778,374,449,607,233,902,083,865,613,779,470,500,784,494,678,775,281,
781,607,474,039,908,648,047,012,589,975,300,799,402,425,883,354,986,436,723,
485,263,349,971,346,470,561,744,169,191,210,219,688,292,131,874,242,113,272,
157,637,433,358,291,413,768,811,241,991,503,291,579,972,276,032,754,381,351,
065,191,386,326,106,741,180,457,202,216,531,098,801,545,412,643,576,545,818,
257,769,297,249,842,036,680,665,045,306,153,422,482,881,771,034,233,607,911,
017,316,782,260,159,577,621,171,746,817,694,655,361,104,561,348,398,823,513,
589,615,221,427,425,613,581,003,729,033,605,139,386,380,618,462,126,788,064,
906,892,266,046,861,016,250,341,771,731,174,486,824,018,790,047,961,318,197,
344,552,188,682,170,768,094,171,258,577,846,005,417,689,797,194,224,985,212,
104,306,785,790,297,967,614,522,174,885,291,558,238,281,993,476,396,810,911,
635,247,304,140,602,450,898,990,507,399,960,327,208,551,968,798,132,919,881,
931,691,777,100,419,972,045,785,023,650,332,242,228,534,622,602,615,529,594,
196,678,102,307,658,911,518,750,705,532,535,244,501,479,118,018,624,868,802,
580,349,958,403,281,984,326,971,723,160,134,042,343,320,435,376,644,253,022,
162,620,664,769,497,318,362,290,989,940,274,228,784,471,074,060,443,926,015,
983,233,523,350,629,778,827,605,042,765,184,993,549,265,049,773,864,614,940,
032,521,726,833,607,680,227,246,087,590,544,479,229,591,347,489,120,566,433,
342,827,959,977,934,621,264,498,739,110,293,389,244,758,216,048,770,890,464,
857,920,987,428,823,929,573,508,696,917,780,691,850,646,791,670,530,713,257,
201,224,951,311,904,785,381,860,422,447,716,688,267,935,278,411,808,969,037,
399,933,752,162,596,162,720,606,717,959,247,385,096,492,181,835,578,168,213,
207,829,441,619,803,636,729,791,197,509,564,093,591,026,776,265,588,647,745,
675,223,894,501,814,317,858,753,970,228,106,549,379,337,618,279,175,909,851,
722,859,959,632,702,702,170,633,614,872,417,415,446,632,668,879,072,974,393,
250,322,970,767,199,158,843,911,206,069,161,084,236,267,442,787,921,632,611,
248,506,206,657,998,625,928,659,613,475,121,724,107,378,974,199,767,551,090,
376,903,432,745,680,797,891,604,584,833,387,655,449,776,628,221,574,284,308,
925,788,864,394,263,944,874,305,859,588,401,036,715,964,141,384,045,167,161,
531,622,705,174,924,310,117,920,038,329,653,370,273,027,355,658,259,795,063,
727,006,028,840,384,022,020,877,806,298,537,119,761,434,625,555,965,412,869,
747,197,791,327,312,632,347,082,617,905,958,811,932,686,071,771,956,129,703,
298,309,123,880,878,845,563,019,163,833,107,688,850,495,161,780,449,607,579,
142,431,006,695,429,419,607,805,932,486,184,508,940,173,409,929,979,866,196,
859,528,913,257,765,012,481,042,703,642,518,509,963,108,741,753,364,584,023,
149,555,543,583,341,535,031,983,425,958,359,861,148,733,574,929,156,870,178,
074,351,272,665,437,012,253,095,553,811,906,467,597,764,340,850,019,777,434,
193,734,385,113,171,742,042,894,964,047,903,348,112,473,536,858,307,902,536,
394,968,950,835,969,457,265,412,056,100,268,155,782,120,551,562,355,715,609,
434,629,730,026,671,202,745,545,223,614,692,700,655,635,916,135,295,214,512,
235,638,237,719,070,562,599,799,950,763,973,482,380,593,015,362,436,155,044,
468,215,904,989,794,734,611,769,147,381,295,581,835,863,711,840,029,408,382,
980,326,219,356,252,678,295,335,746,142,694,605,434,490,480,836,798,489,694,
579,569,354,347,613,589,849,980,856,492,552,808,032,313,526,002,116,401,231,
339,000,118,886,526,385,574,243,641,474,890,225,934,303,444,540,963,989,440,
046,278,874,515,652,858,717,807,888,524,017,513,368,575,762,748,741,468,821,
719,853,141,924,152,554,452,296,208,695,799,057,946,586,102,910,814,516,964,
083,132,922,580,663,257,059,272,441,574,860,363,677,548,237,389,954,743,739,
203,543,598,200,220,437,501,135,644,908,041,891,113,171,632,426,027,132,680,
395,170,416,419,974,769,341,589,473,769,057,549,674,937,525,202,887,374,245,
508,861,748,371,763,678,390,221,751,084,598,929,511,496,240,680,205,901,887,
254,437,660,104,412,741,869,491,777,647,688,416,952,475,343,921,574,667,278,
966,971,722,609,840,590,032,493,610,463,347,949,179,220,185,353,470,558,391,
387,711,734,510,092,768,433,956,219,373,961,800,284,857,960,339,380,693,622,
012,171,474,112,999,740,120,723,952,790,155,297,174,789,531,824,801,633,689,
454,957,271,412,525,369,088,890,481,857,439,087,496,465,243,498,001,526,404,
943,538,226,990,523,761,769,243,364,184,167,440,071,710,846,131,566,314,690,
901,022,131,015,845,412,272,035,763,515,131,129,543,590,609,367,747,919,941,
781,309,421,432,434,954,816,697,184,463,036,892,239,313,959,806,128,125,822,
330,739,816,924,208,153,095,985,390,284,969,718,716,215,860,344,358,793,755,
194,300,248,293,592,899,896,704,181,427,985,090,467,824,116,362,722,923,894,
234,597,957,196,473,796,318,184,696,587,122,579,988,648,641,949,232,393,182,
853,176,613,531,060,778,922,904,032,650,349,542,165,499,427,133,277,058,263,
782,762,077,007,944,384,810,551,777,499,471,038,295,899,654,521,537,419,620,
543,646,820,634,742,366,337,878,635,294,870,350,732,503,830,160,618,854,248,
059,169,841,297,310,190,480,418,737,049,963,904,220,383,957,098,545,198,633,
808,391,416,201,180,910,810,990,494,635,925,312,607,180,339,193,834,488,137,
809,500,158,666,150,610,689,523,542,172,627,284,444,352,335,224,259,698,850,
595,190,812,576,867,489,261,195,148,955,662,043,554,643,225,520,283,218,501,
485,471,350,616,656,467,455,546,352,782,375,447,677,114,822,137,547,690,787,
793,875,666,365,634,285,590,056,740,709,578,886,443,987,462,731,285,179,773,
720,184,869,558,492,591,413,350,689,328,774,798,241,232,774,306,681,402,923,
535,356,614,434,394,465,662,498,739,841,237,017,092,312,923,360,743,343,380,
512,257,754,391,349,622,008,557,043,236,252,425,314,192,676,470,230,611,346,
108,505,141,936,126,497,388,896,306,678,996,499,552,768,783,520,287,006,494,
825,067,771,537,279,983,969,625,365,939,345,840,616,541,770,082,732,984,082,
308,399,603,523,561,632,357,330,157,322,268,004,114,705,084,621,251,264,172,
281,432,569,294,532,911,459,249,887,448,963,880,044,031,576,477,310,167,155,
097,862,738,003,166,433,892,154,798,636,053,938,624,147,140,799,473,020,927,
128,321,339,742,582,426,494,258,977,839,401,090,272,215,473,236,647,568,798,
017,505,745,994,021,092,942,733,382,601,049,781,500,937,539,506,898,350,319,
817,596,563,968,879,766,558,220,190,502,235,143,710,648,881,969,937,171,201,
587,980,973,664,199,387,793,110,521,984,868,848,851,671,976,215,072,611,931,
841,969,549,684,111,625,965,004,848,281,240,634,041,507,903,633,384,263,919,
824,385,845,651,324,206,968,555,825,555,465,028,474,606,123,463,675,842,010,
101,578,966,706,470,617,046,528,195,063,841,501,717,094,289,593,884,394,839,
661,672,775,812,998,713,827,264,450,306,623,125,812,961,040,435,177,231,770,
503,133,974,866,432,159,692,771,062,411,310,568,927,201,804,266,324,349,555,
345,888,062,000,551,329,474,720,120,935,642,038,621,715,908,677,100,344,104,
699,907,430,472,837,042,267,072,473,943,385,288,477,472,688,435,934,497,815,
396,891,173,994,872,914,084,142,775,008,393,537,048,307,991,136,902,848,637,
153,096,084,665,604,401,291,653,564,912,000,039,396,787,584,192,802,631,159,
765,956,494,724,871,714,488,642,283,803,757,969,066,534,124,816,869,877,697,
901,492,129,450,930,428,924,380,628,429,816,896,360,082,856,147,919,596,448,
278,132,059,484,287,552,746,624,883,881,126,526,021,651,479,435,893,617,724,
248,960,880,203,434,699,411,095,696,027,305,924,720,255,551,008,703,625,953,
629,588,514,369,093,649,522,433,608,152,855,729,306,588,131,895,971,588,880,
572,223,928,439,492,879,458,433,136,681,045,730,763,610,243,790,970,931,112,
747,736,436,987,220,084,219,432,283,920,972,165,899,042,395,921,109,191,336,
290,917,954,826,424,636,648,004,450,974,216,166,141,633,987,094,950,022,502,
789,399,182,230,179,297,476,288,688,512,925,241,216,635,265,806,260,116,123,
491,487,305,889,594,709,010,522,640,931,571,707,417,389,506,629,481,007,660,
042,610,121,592,879,832,502,489,851,013,586,995,983,398,198,086,786,105,741,
238,782,084,077,809,692,998,106,657,473,879,151,732,499,902,042,291,058,521,
995,371,035,452,671,432,124,072,620,713,133,684,282,269,358,944,818,375,436,
221,007,698,663,253,103,488,631,703,558,122,105,842,654,899,506,569,962,750,
864,264,598,721,665,201,209,344,501,037,686,424,363,216,789,450,267,598,872,
099,330,361,906,272,465,983,429,986,834,268,046,343,177,849,782,231,882,365,
460,479,652,323,001,437,791,613,613,761,315,399,535,023,646,615,234,929,258,
842,670,886,347,711,812,586,314,404,366,945,834,629,872,786,171,236,927,362,
605,789,323,498,919,161,299,429,493,324,979,063,971,543,330,087,853,011,685,
070,362,507,948,110,650,623,051,142,804,978,269,182,673,058,392,628,472,417,
212,719,831,591,882,875,378,427,069,859,712,739,321,668,191,212,900,676,070,
384,758,982,132,964,237,630,849,936,776,849,820,949,033,936,920,936,792,477,
846,049,639,669,417,459,330,134,574,688,272,112,411,280,213,981,438,482,970,
213,739,655,916,968,105,871,300,949,403,039,721,148,519,693,599,058,560,516,
734,877,163,307,340,431,299,917,519,568,505,130,573,534,309,357,466,512,319,
359,072,489,480,066,523,761,043,108,644,333,957,970,852,963,493,261,580,764,
960,768,724,002,136,397,069,917,948,643,150,952,761,358,357,493,066,279,253,
867,199,741,383,186,330,206,165,151,659,565,574,605,088,648,812,354,963,217,
132,602,142,874,345,332,605,755,537,321,948,854,611,398,829,054,616,098,634,
183,968,142,398,704,057,720,343,891,182,922,124,142,068,368,449,509,438,289,
106,706,625,753,791,146,008,597,585,142,515,425,232,484,911,626,070,989,032,
742,752,138,744,591,509,037,564,226,753,981,339,985,596,832,875,549,000,321,
651,954,971,663,123,174,880,203,130,299,295,959,394,535,687,732,929,281,088,
654,588,776,043,144,978,060,894,838,846,287,882,551,536,714,047,230,719,070,
882,954,578,908,327,605,359,624,816,624,825,207,540,459,683,146,945,220,471,
561,104,319,020,149,274,720,259,394,291,032,101,589,842,116,532,880,409,204,
919,011,363,286,814,035,097,026,846,448,697,566,461,521,085,397,206,440,386,
609,072,877,253,928,303,654,400,346,532,897,275,638,370,668,123,858,417,081,
342,613,513,868,787,568,889,147,417,233,513,291,964,321,604,650,309,851,451,
269,093,134,584,343,056,319,254,411,652,173,619,774,398,931,500,979,705,649,
974,844,382,936,554,307,854,462,286,368,224,909,280,369,388,470,009,250,351,
260,681,528,738,440,831,204,013,610,738,807,939,157,052,807,953,333,123,972,
039,974,840,397,378,407,595,035,861,108,212,866,244,494,819,851,768,035,516,
171,915,896,065,345,287,320,242,506,124,765,094,712,557,520,720,356,011,759,
477,508,606,284,416,970,040,591,521,531,753,935,413,854,220,640,172,414,298,
272,986,716,417,560,559,987,284,161,821,163,603,907,061,969,974,230,141,009,
942,081,491,367,711,547,551,701,817,789,998,598,558,266,738,354,676,186,264,
266,636,260,536,457,897,907,697,044,720,203,488,816,162,326,932,262,771,544,
255,160,223,690,187,860,892,554,183,166,411,028,457,702,995,634,078,845,914,
115,297,384,517,478,717,312,238,194,745,250,462,520,390,618,669,086,901,023,
801,894,154,758,865,933,677,324,993,502,875,984,685,345,796,969,145,617,710,
502,311,541,156,441,879,763,153,841,816,149,065,867,675,868,625,347,872,239,
295,009,041,711,912,783,241,072,720,719,364,802,001,523,339,890,903,433,378,
282,114,501,542,994,097,130,675,109,831,212,787,570,858,632,057,156,871,130,
728,180,591,522,850,070,195,785,347,262,093,633,813,408,142,323,369,291,431,
475,008,971,197,267,572,228,471,235,622,265,532,463,807,210,221,665,946,623,
447,050,432,708,049,733,264,467,522,248,079,177,832,604,332,603,707,122,834,
391,298,224,249,331,778,267,579,188,845,337,351,488,698,980,070,262,300,918,
581,301,620,982,857,646,948,674,408,406,049,481,316,542,121,252,431,484,621,
933,680,041,189,553,644,479,198,899,193,717,002,391,327,161,789,957,783,020,
846,763,800,201,277,108,121,746,265,342,545,639,864,622,056,790,793,440,431,
004,967,227,791,001,122,420,693,460,376,291,232,764,740,736,850,002,310,561,
077,931,098,232,447,015,843,128,565,086,594,242,231,772,901,936,489,516,160,
254,547,970,270,210,949,469,701,553,075,005,481,943,339,848,021,837,108,626,
926,490,786,990,898,033,266,817,074,454,450,530,934,674,802,342,579,565,884,
756,078,104,743,446,798,275,317,292,716,385,612,957,855,227,923,967,299,594,
317,242,888,406,728,560,751,752,155,307,868,109,586,789,745,995,465,178,171,
950,332,778,725,931,737,238,522,799,842,289,120,602,239,902,165,416,916,018,
107,872,412,815,788,229,137,015,183,844,693,738,077,949,351,867,444,895,810,
974,399,412,841,830,744,687,011,029,747,441,334,493,856,122,255,945,584,937,
139,762,374,354,067,195,215,965,794,081,041,546,629,527,907,016,664,102,984,
258,746,496,155,482,179,213,458,582,904,745,424,592,795,125,268,771,660,910,
636,221,396,321,845,966,198,649,126,755,120,550,945,015,852,762,097,885,665,
112,641,746,617,141,036,640,730,511,711,113,156,992,513,842,896,106,095,588,
619,795,627,825,529,949,659,401,759,492,380,904,736,921,249,211,650,179,355,
585,309,271,293,283,898,533,969,117,606,199,728,418,700,918,632,196,533,590,
197,721,544,069,047,964,021,212,559,119,555,256,289,302,895,940,748,975,941,
954,934,264,300,425,007,652,667,139,052,862,352,567,873,375,856,868,734,006,
844,463,418,846,291,302,096,428,276,118,966,866,231,612,525,027,977,849,832,
707,176,968,012,999,538,658,917,404,070,910,905,543,442,201,007,588,441,976,
090,533,599,616,787,587,937,208,494,990,008,302,249,856,659,042,277,098,248,
334,806,010,256,742,490,061,666,034,206,131,389,707,359,332,311,334,556,341,
744,327,439,176,193,518,964,815,049,574,588,568,153,243,632,378,187,381,049,
635,051,468,631,674,885,154,677,583,400,395,091,095,234,071,445,263,270,888,
234,335,129,464,094,230,831,662,324,446,216,307,826,477,903,911,909,588,263,
148,190,605,849,151,593,964,833,868,292,746,339,607,020,793,951,459,361,515,
712,001,995,978,259,147,308,147,621,419,107,031,399,739,051,903,734,904,093,
243,672,308,146,025,865,669,230,603,374,069,417,706,523,367,784,539,634,942,
479,949,015,384,792,541,631,136,101,728,217,962,983,331,785,645,083,052,094,
494,681,619,211,795,944,321,254,116,961,995,813,270,854,905,142,475,892,080,
490,416,960,629,736,750,710,255,621,135,821,681,420,019,235,508,062,666,961,
770,911,346,861,241,131,288,296,413,732,753,066,205,865,693,876,744,634,638,
176,188,427,344,134,733,544,622,927,140,550,555,267,199,616,101,152,913,454,
380,425,977,836,755,481,478,208,355,085,913,065,331,209,059,344,930,445,925,
396,549,467,142,421,084,366,376,255,538,971,580,175,753,159,955,917,004,377,
746,286,483,655,419,151,923,507,340,418,062,552,514,747,645,907,179,950,175,
366,948,405,475,150,241,896,855,140,554,526,759,016,550,772,182,759,559,051,
348,282,231,437,281,141,662,675,961,621,725,621,546,135,950,683,499,498,165,
659,436,827,019,496,636,824,153,010,145,061,673,508,818,063,860,612,399,955,
466,726,771,726,839,628,629,002,468,808,054,605,211,505,644,660,908,615,743,
902,487,438,795,384,818,257,991,871,669,698,693,646,584,678,181,876,185,119,
777,259,933,183,472,415,476,805,292,562,284,513,669,932,374,686,297,087,239,
890,979,192,476,683,947,155,163,403,139,556,122,940,435,978,421,036,586,883,
494,047,646,372,095,038,385,743,051,466,016,160,017,429,890,077,818,602,199,
493,080,314,252,005,930,465,986,198,372,667,846,285,885,167,183,018,481,610,
326,037,917,400,097,250,762,769,657,151,088,056,359,495,501,900,876,007,504,
885,264,698,979,359,911,031,965,338,746,682,839,660,246,056,486,974,695,995,
859,993,579,747,944,364,899,849,225,188,624,108,632,616,634,847,022,023,708,
423,183,558,298,746,931,564,705,379,875,489,029,183,337,691,734,039,726,789,
815,960,530,621,104,126,749,864,667,655,905,215,080,743,941,563,423,576,538,
546,251,828,310,144,986,963,489,594,192,583,564,821,736,061,841,237,067,851,
892,746,266,787,783,715,746,289,973,110,504,869,689,941,372,586,742,643,056,
467,312,759,710,176,287,929,619,276,087,092,165,792,960,028,499,060,118,828,
504,834,239,218,453,652,181,804,590,245,491,355,336,645,247,474,024,025,766,
233,499,100,015,572,349,890,339,709,622,242,909,813,364,641,875,625,251,063,
497,630,877,733,092,600,795,826,943,896,560,260,255,770,155,701,132,470,336,
890,504,040,796,790,343,079,522,224,025,402,548,559,124,630,589,002,457,977,
008,035,941,872,348,369,299,977,285,252,429,055,374,984,955,706,822,252,792,
141,886,135,208,777,109,199,755,945,740,971,164,172,546,448,778,011,249,653,
108,610,243,612,358,587,127,236,849,698,886,093,497,318,926,713,810,163,652,
886,963,958,333,237,272,314,379,846,960,737,027,607,064,161,400,622,698,417,
451,770,121,423,572,623,291,646,172,814,301,471,940,534,393,610,479,703,541,
552,603,603,536,798,332,766,245,297,602,666,391,593,721,928,968,450,200,489,
964,432,100,805,737,122,378,762,070,956,072,079,187,829,563,686,622,251,134,
613,293,086,473,732,792,536,537,079,094,971,465,583,860,894,149,803,462,160,
459,358,693,038,859,322,314,012,129,744,701,448,466,578,196,221,957,344,775,
388,338,896,038,033,147,777,000,336,437,980,794,607,815,601,517,254,625,386,
208,116,097,421,889,847,679,835,799,088,489,443,336,937,360,232,859,214,688,
263,558,173,095,424,571,982,890,759,757,216,444,850,297,089,921,435,239,970,
734,151,995,410,940,567,410,095,351,429,236,459,186,253,743,020,201,364,275,
780,448,825,886,157,670,368,550,111,886,928,918,080,192,412,285,589,111,998,
783,928,579,834,531,885,490,625,855,948,396,830,901,186,418,747,683,200,873,
180,840,282,541,575,884,826,678,599,467,330,436,842,271,063,014,694,050,664,
314,005,023,217,031,257,796,547,709,963,315,681,969,776,687,621,376,246,824,
035,959,386,542,991,492,395,368,762,231,894,741,898,438,152,017,790,993,778,
320,201,692,891,431,334,411,018,058,402,028,798,820,204,388,004,302,650,507,
845,584,909,188,464,657,574,155,118,996,773,889,933,076,963,888,681,975,550,
395,230,224,536,840,304,418,128,530,333,502,824,715,024,541,604,993,172,024,
080,221,543,558,917,895,861,976,706,838,406,891,087,433,338,001,026,879,841,
772,086,812,929,097,890,283,349,927,220,230,130,602,331,866,543,519,904,445,
717,646,809,878,801,490,345,431,426,980,525,206,699,493,276,107,765,019,914,
541,972,565,357,295,679,556,828,672,397,713,526,825,104,995,868,536,631,103,
476,748,864,717,653,030,503,181,971,889,219,761,580,521,539,154,844,145,946,
808,806,127,441,899,745,016,399,171,700,184,120,196,574,089,155,536,595,085,
244,003,519,770,673,162,917,124,131,480,235,461,919,381,891,359,276,555,076,
126,346,393,404,633,383,987,384,159,761,590,284,019,109,645,999,173,072,693,
307,750,690,354,999,060,184,718,952,561,264,697,822,201,492,887,130,397,166,
237,078,158,366,332,284,789,223,262,790,797,153,705,501,306,655,063,407,062,
843,036,266,845,782,395,395,311,325,242,390,457,689,866,113,606,534,008,385,
680,711,299,593,073,841,875,675,748,933,583,089,801,269,506,226,367,956,640,
293,138,297,162,986,535,713,180,902,643,639,404,349,968,628,027,855,239,299,
832,843,673,993,600,015,173,499,202,747,945,096,932,626,727,606,678,247,900,
029,916,046,898,251,966,782,432,958,382,656,890,881,333,092,426,675,347,644,
735,947,790,079,378,075,433,520,863,496,145,107,899,112,452,768,035,310,500,
604,487,396,250,212,660,586,041,590,263,177,157,642,726,470,047,041,536,989,
970,802,821,638,789,512,519,790,270,621,816,472,727,843,688,138,179,603,730,
999,752,922,959,179,754,742,458,588,392,929,411,891,287,330,872,035,241,494,
525,416,288,919,592,941,441,658,110,462,821,012,757,427,271,218,491,362,431,
968,751,364,919,779,898,029,437,195,993,283,193,503,038,661,785,451,587,677,
636,962,996,107,781,850,663,816,585,590,462,686,824,081,614,797,174,425,537,
172,179,158,910,170,048,495,584,618,985,139,572,443,064,115,783,096,182,924,
546,586,721,249,210,989,970,150,642,592,141,260,346,885,780,466,357,036,783,
549,216,790,280,187,276,512,612,857,109,116,085,525,247,664,784,324,980,539,
976,471,248,516,352,179,892,492,527,588,677,707,682,374,470,323,862,647,156,
421,876,551,988,239,319,508,189,145,039,306,650,862,135,778,747,903,750,198,
969,899,216,351,030,125,508,226,198,273,047,492,528,763,350,360,440,455,155,
080,063,644,649,448,082,696,201,671,435,338,611,952,217,986,769,729,567,945,
919,490,808,334,626,440,437,373,659,632,008,256,497,467,338,971,155,876,931,
684,800,792,498,990,054,982,528,136,929,497,474,031,616,710,590,272,480,106,
968,791,391,823,928,920,961,280,353,977,730,184,773,207,519,522,674,557,237,
583,895,112,173,519,797,032,675,445,924,209,044,541,254,334,654,032,554,425,
090,007,438,900,847,465,858,662,641,953,115,687,694,977,728,064,445,438,431,
460,073,912,259,948,254,764,227,020,880,092,904,324,750,539,712,216,937,305,
476,904,705,971,709,679,027,990,556,459,242,586,827,830,213,955,736,268,771,
686,231,925,915,017,170,881,474,358,813,790,972,456,215,905,971,120,211,770,
336,424,894,674,765,681,292,549,302,250,438,880,630,353,687,889,715,595,658,
724,311,827,949,235,609,069,834,280,690,316,532,465,973,147,428,569,027,818,
126,823,220,052,718,710,969,255,517,224,362,716,989,451,300,578,328,149,935,
293,052,954,224,944,560,494,982,015,421,868,162,299,605,547,600,887,692,488,
701,516,631,759,826,973,359,017,031,270,313,378,948,121,976,831,234,976,755,
938,052,599,580,251,445,213,827,990,833,657,552,331,187,887,547,148,223,554,
915,678,771,416,797,275,761,388,944,754,120,486,553,405,010,188,940,812,604,
559,951,686,399,486,456,792,380,752,164,551,705,650,747,452,112,546,602,639,
271,989,867,679,932,466,607,572,592,412,056,879,280,812,555,832,936,206,845,
431,334,723,010,358,465,081,405,300,870,636,904,524,585,726,560,851,143,118,
120,825,592,809,042,136,997,101,324,297,982,664,530,041,886,630,891,271,791,
809,196,127,032,563,251,593,815,846,678,263,349,185,843,983,663,725,531,444,
810,467,927,014,809,337,824,859,243,056,102,506,520,988,133,407,587,026,807,
216,580,254,804,930,616,374,893,094,042,308,231,955,729,436,578,447,364,470,
454,610,725,338,168,720,917,941,655,987,128,718,378,745,668,435,072,221,808,
938,615,446,710,548,722,171,788,891,069,623,689,204,236,108,265,643,196,634,
393,520,302,484,305,799,766,154,138,676,662,878,499,145,266,406,631,143,029,
385,276,161,485,032,282,378,835,720,204,903,522,855,778,236,138,172,949,155,
884,643,527,677,578,256,121,211,207,287,877,314,329,488,559,407,736,718,315,
398,934,737,872,204,329,855,337,419,655,649,929,252,478,839,421,493,000,357,
229,509,789,727,751,598,434,575,118,283,078,586,627,084,761,655,381,440,923,
582,185,923,857,115,232,016,122,377,014,812,981,559,769,321,145,340,191,537,
820,967,155,923,906,089,968,040,230,880,771,098,661,880,193,413,753,221,218,
231,993,286,821,880,206,079,327,646,620,235,368,087,401,838,416,024,169,994,
810,776,409,527,286,164,310,557,099,449,230,109,745,343,523,113,848,786,889,
149,928,669,931,937,079,020,816,642,893,435,487,198,250,587,976,762,406,193,
722,617,292,693,867,797,713,419,269,899,705,618,488,772,711,632,862,650,695,
812,677,250,352,713,476,282,054,725,068,314,929,415,470,706,276,398,238,903,
954,720,844,314,191,235,595,643,008,675,847,007,122,265,211,908,452,420,408,
131,368,341,812,190,169,125,298,535,353,635,868,753,367,784,399,558,656,603,
571,494,840,136,585,493,972,015,389,023,572,993,474,842,996,156,440,437,361,
239,440,789,756,320,938,453,187,339,246,738,494,174,644,538,414,388,972,248,
115,312,248,410,082,502,616,414,017,063,231,980,945,275,492,665,727,944,063,
493,944,323,642,799,675,218,815,772,813,583,301,891,783,681,777,058,518,185,
131,430,809,775,628,617,530,032,342,975,773,195,307,624,475,524,291,893,731,
609,477,992,569,751,188,496,853,179,782,382,977,118,346,456,685,010,423,154,
196,918,822,194,453,342,378,918,104,739,025,972,512,963,356,131,291,598,433,
048,443,718,962,326,741,592,740,234,414,727,536,166,805,339,422,270,205,034,
581,133,628,742,471,626,668,382,677,111,404,407,708,636,032,546,881,761,543,
917,077,769,854,199,863,723,649,052,375,718,320,074,498,231,264,151,363,266,
961,146,236,734,151,043,876,206,230,681,398,626,079,247,984,158,814,194,182,
149,093,539,519,107,651,282,551,743,093,770,176,540,002,792,435,331,168,170,
397,807,555,587,524,738,327,246,528,292,734,947,942,331,290,531,243,576,599,
251,729,615,245,179,979,690,582,795,536,626,597,964,124,873,417,986,664,270,
419,312,391,875,921,546,222,495,731,085,538,500,440,508,087,421,785,917,877,
166,478,045,389,929,864,748,542,782,358,444,244,309,771,745,893,358,775,784,
200,248,549,855,463,445,149,161,590,377,423,683,450,637,093,763,552,417,811,
847,579,081,428,195,910,717,727,141,237,826,067,013,680,831,856,004,465,170,
639,186,500,328,497,274,321,615,371,631,338,193,464,341,644,728,090,608,195,
463,019,199,732,396,754,885,262,365,554,956,823,499,738,949,111,336,333,876,
952,703,710,624,665,986,709,642,412,209,002,473,543,441,200,573,900,130,197,
252,856,356,241,247,763,807,330,010,577,432,408,750,913,195,736,360,197,221,
404,892,978,677,088,632,833,640,057,505,176,111,319,503,485,268,260,235,365,
901,730,129,271,130,640,722,644,882,859,020,340,926,979,803,263,492,672,230,
476,824,634,532,026,973,206,080,045,972,322,186,387,285,558,725,509,377,104,
002,014,259,508,137,279,803,372,001,659,810,968,667,856,650,601,003,609,575,
210,053,402,180,448,694,951,119,125,817,099,989,135,713,990,892,158,252,108,
376,426,203,064,486,221,799,265,900,004,484,090,883,833,139,771,888,475,487,
494,929,554,651,160,897,331,886,221,380,992,399,359,794,037,128,759,579,428,
677,742,184,885,757,216,125,519,473,964,055,738,875,927,244,523,943,970,369,
000,265,709,446,117,444,836,619,058,106,106,088,495,673,160,984,634,468,046,
589,829,567,892,924,676,500,936,848,823,123,619,891,130,257,545,147,028,903,
789,506,264,891,799,698,862,715,756,015,114,230,501,100,825,478,431,337,941,
478,437,355,104,846,593,959,112,279,116,190,222,139,568,097,684,364,849,280,
284,019,721,432,636,791,639,977,019,976,805,949,102,067,018,402,370,319,949,
540,864,262,457,351,681,746,218,465,692,251,761,305,680,457,039,193,212,378,
683,843,442,695,505,176,077,762,486,083,012,484,556,624,190,566,953,013,926,
537,819,300,273,996,693,342,682,606,996,048,873,159,064,676,817,668,277,742,
720,121,964,617,876,139,869,798,778,259,810,385,113,419,139,454,517,533,680,
442,969,448,356,800,290,232,145,845,248,041,043,238,600,950,086,292,018,592,
050,060,765,132,100,934,541,903,971,383,574,776,710,499,463,818,599,156,510,
236,190,491,542,918,139,368,212,763,183,482,889,465,598,074,913,738,109,436,
580,385,770,834,236,641,451,926,982,291,400,380,825,773,604,259,541,943,628,
014,479,017,391,741,514,223,763,084,944,844,285,762,863,210,699,857,331,280,
018,007,409,397,876,782,907,982,416,699,273,072,833,774,624,929,333,987,167,
534,203,681,507,874,880,248,807,178,610,117,933,857,883,631,241,804,185,620,
239,747,975,130,531,094,625,393,378,087,408,168,559,074,811,857,045,378,328,
490,887,397,413,099,623,737,069,127,952,396,496,495,514,419,455,170,076,308,
120,885,566,826,314,022,592,422,395,617,784,061,841,613,151,182,783,592,913,
256,635,627,743,173,638,796,998,548,697,017,422,357,071,476,860,992,159,138,
083,195,056,329,647,863,014,910,690,423,931,432,906,408,320,820,483,930,227,
193,060,032,703,372,975,006,435,790,994,556,785,846,076,150,134,132,842,874,
566,246,736,630,391,830,750,304,021,971,457,179,055,704,047,437,064,095,395,
799,923,172,162,213,362,835,465,297,348,508,252,495,741,902,826,236,311,068,
017,481,056,509,885,676,785,739,083,026,347,699,598,890,147,801,157,203,042,
197,004,954,021,074,258,719,912,634,534,341,770,685,510,439,250,647,415,602,
555,036,989,644,302,110,270,875,947,340,165,084,444,269,399,219,655,583,042,
909,068,367,432,553,554,432,738,334,231,833,865,997,372,989,470,085,878,694,
343,803,140,265,972,350,143,910,616,983,621,779,876,803,225,423,580,547,037,
510,060,442,771,411,869,704,208,722,785,918,959,669,446,236,156,906,845,910,
952,613,802,397,416,714,411,458,976,966,436,531,873,158,257,475,266,171,840,
890,362,754,273,993,970,122,464,076,516,034,117,244,251,714,278,725,337,047,
863,129,083,116,652,215,813,467,530,982,804,930,278,695,317,592,767,951,614,
673,989,372,723,094,717,727,924,477,009,506,109,631,049,314,821,009,328,659,
453,010,186,847,612,483,841,559,907,213,896,425,684,006,319,562,912,976,414,
253,981,998,972,889,815,949,985,174,515,148,557,079,210,115,147,377,936,882,
107,683,936,507,042,089,360,246,048,654,007,630,552,918,877,760,346,954,782,
281,270,139,258,328,475,602,344,746,682,634,963,410,165,970,353,763,268,540,
812,516,673,613,679,642,830,106,669,257,268,272,800,585,384,097,125,242,959,
667,177,133,028,291,125,706,406,791,618,394,855,067,699,618,594,474,170,200,
922,298,097,855,410,089,713,406,495,732,064,848,382,169,936,540,432,313,253,
392,942,184,792,553,893,419,314,680,318,121,560,016,136,110,785,837,720,967,
099,946,599,109,524,714,708,920,661,562,337,609,072,524,495,378,623,848,298,
996,461,462,557,278,172,345,247,399,600,202,041,167,900,012,541,863,570,094,
460,591,896,500,535,335,614,607,028,536,125,511,099,974,084,310,870,301,827,
010,179,428,686,521,202,606,697,870,102,057,033,608,880,768,128,901,575,758,
569,976,057,903,523,727,918,564,166,133,564,114,101,846,627,977,969,346,296,
814,984,904,412,054,689,696,837,447,318,456,635,432,587,321,034,685,784,422,
172,764,075,922,553,857,960,920,417,382,488,137,721,061,711,073,509,739,821,
597,131,255,351,333,070,868,009,005,082,940,948,382,306,997,626,791,967,147,
851,610,417,398,095,521,182,959,825,966,884,735,486,069,054,338,509,738,755,
294,419,268,547,700,381,427,934,404,912,393,637,882,335,519,688,563,534,732,
813,806,698,652,948,392,256,779,914,109,333,562,511,464,603,182,301,263,301,
945,288,442,095,950,932,282,159,221,693,515,606,415,905,888,091,821,757,539,
566,966,057,612,447,072,053,292,579,984,551,749,117,235,537,784,860,872,493,
023,862,587,510,281,818,538,422,151,583,295,008,610,938,266,370,809,126,083,
074,988,140,099,260,692,530,461,911,982,849,321,895,094,494,104,003,316,151,
175,264,384,006,775,654,081,279,473,398,478,547,421,991,117,838,026,787,315,
374,379,632,283,830,124,139,137,410,915,313,104,857,944,698,673,672,746,289,
215,946,369,108,428,904,946,526,054,793,277,886,422,358,809,625,878,952,143,
224,337,362,685,189,165,653,101,922,728,575,399,814,137,848,630,847,780,853,
656,522,942,133,381,435,342,048,202,542,831,802,963,273,833,731,228,117,674,
290,857,964,464,846,553,682,669,957,687,264,257,858,129,701,033,986,760,392,
226,291,275,340,507,296,563,671,585,020,114,074,261,870,979,489,783,141,248,
401,484,214,494,121,617,304,910,594,959,895,743,527,765,721,208,177,300,439,
798,105,276,266,208,662,192,611,574,162,763,559,469,965,201,047,398,119,475,
584,229,694,524,583,421,396,736,767,737,840,642,640,001,838,248,688,082,285,
270,462,713,698,566,829,330,711,940,234,841,759,510,824,138,751,119,676,195,
753,693,866,852,229,649,766,665,123,502,763,388,799,215,868,527,853,715,947,
639,214,338,263,939,080,950,665,803,870,035,556,310,124,882,317,639,763,562,
801,674,262,435,450,270,740,279,588,444,348,015,565,741,396,194,763,335,802,
557,211,854,234,579,134,050,128,137,569,033,711,054,561,089,398,230,397,152,
576,925,144,155,935,613,320,108,077,207,436,551,069,513,344,817,416,311,789,
226,806,478,221,268,963,604,740,631,340,426,383,056,842,867,252,290,426,287,
962,859,271,989,543,252,927,845,863,148,822,907,129,240,707,193,240,236,517,
069,503,217,692,023,875,305,377,360,387,986,738,716,914,730,334,431,095,492,
315,852,244,358,117,296,589,438,287,431,162,041,038,648,540,515,747,087,947,
254,498,209,504,248,768,310,728,313,009,602,422,973,933,250,999,740,492,742,
348,783,618,302,274,275,599,359,763,841,023,543,126,975,899,074,618,510,175,
598,445,526,054,150,323,101,683,054,555,419,687,840,048,687,910,154,370,104,
282,450,019,813,938,918,346,668,278,401,222,404,668,936,106,313,829,641,391,
551,871,898,791,343,770,256,299,097,101,560,413,132,465,041,951,316,544,062,
557,272,438,312,517,476,165,371,728,047,519,108,885,660,386,916,641,958,332,
784,154,057,365,562,521,082,036,522,030,051,134,539,129,744,190,534,525,621,
306,862,272,413,808,819,835,364,457,565,411,351,276,637,613,141,823,136,450,
594,787,787,025,116,778,437,500,572,325,011,567,722,988,022,126,881,523,611,
112,083,584,575,343,691,387,492,884,638,810,281,078,319,222,425,831,601,676,
561,792,307,823,839,940,045,462,158,747,898,940,412,306,835,963,895,178,215,
864,108,181,899,655,203,068,748,873,868,644,064,893,189,922,409,132,222,309,
248,456,541,213,389,234,273,556,912,205,910,563,463,776,776,243,629,201,130,
126,858,547,209,270,150,556,885,192,979,392,096,395,874,469,872,998,742,704,
610,667,391,187,484,546,436,009,534,491,173,708,248,887,072,523,552,802,147,
796,490,859,985,367,122,587,940,050,378,886,610,583,350,562,985,846,469,288,
985,060,816,902,383,088,045,709,253,473,028,178,699,409,169,346,715,137,808,
627,523,010,020,664,224,489,144,258,208,297,309,125,372,979,303,974,093,775,
828,492,596,488,676,753,715,495,767,035,487,476,176,325,585,986,103,708,609,
987,510,890,024,510,298,484,780,940,487,284,428,408,434,125,497,075,236,276,
994,620,953,456,678,334,536,251,720,880,216,701,034,364,486,082,981,310,162,
877,805,082,800,071,179,381,750,500,194,004,037,595,544,195,654,400,957,031,
184,480,580,982,899,177,897,607,302,976,732,695,221,310,434,036,749,649,321,
203,170,940,380,705,871,062,331,386,700,283,006,688,811,360,313,471,407,653,
225,441,894,958,493,341,157,548,375,809,629,982,728,800,680,320,718,534,213,
619,622,568,269,765,514,115,983,382,975,073,912,416,966,990,893,545,504,056,
007,567,877,953,910,688,042,590,226,967,161,036,486,005,524,421,778,667,177,
490,240,341,750,941,446,717,994,212,735,387,199,560,092,337,689,471,588,721,
440,003,234,018,877,409,643,969,430,398,847,627,117,917,849,547,537,388,484,
435,061,117,586,432,795,332,659,469,991,184,595,157,467,099,510,827,534,670,
493,485,476,454,234,248,352,354,631,127,067,508,035,523,562,793,176,895,621,
080,767,500,911,906,521,080,038,918,585,520,964,022,033,916,427,080,409,450,
819,953,442,895,149,294,991,175,165,930,287,135,922,501,718,259,562,434,028,
840,310,846,048,210,693,461,949,149,422,027,555,280,228,869,419,834,879,622,
918,534,510,715,047,637,055,111,749,284,978,502,998,864,153,244,752,952,875,
093,437,045,538,063,057,642,665,629,881,907,440,200,577,923,704,392,745,770,
203,698,781,084,499,703,964,822,410,398,737,991,652,507,198,605,594,802,541,
777,835,081,465,614,047,784,855,845,361,254,779,141,692,303,576,912,935,669,
355,128,311,905,626,157,916,175,492,191,436,916,278,831,966,979,919,052,952,
646,024,829,276,926,437,588,395,323,083,599,740,339,368,208,474,925,953,832,
851,390,259,533,807,628,409,324,474,593,125,140,704,470,724,104,194,980,455,
926,366,077,477,579,175,519,470,844,795,629,783,179,635,404,244,363,913,079,
300,311,978,688,948,062,834,497,934,959,076,843,937,886,717,890,724,082,470,
844,767,046,378,097,572,597,434,253,465,836,881,351,733,113,207,356,216,976,
435,123,529,288,688,512,377,904,602,683,800,288,235,122,924,909,119,256,641,
380,140,813,466,188,716,921,945,050,028,736,158,010,519,746,620,528,401,059,
772,406,943,560,073,039,217,678,980,931,515,590,465,826,122,814,121,630,713,
890,460,566,047,754,446,846,180,945,559,678,547,008,708,265,518,202,704,534,
603,070,791,898,064,567,817,116,561,225,241,288,275,505,865,190,994,574,808,
731,064,815,251,594,401,391,989,287,892,719,072,435,545,143,867,469,411,202,
079,889,507,318,804,295,941,127,009,142,258,432,198,693,258,685,989,414,633,
041,125,146,898,294,853,347,415,812,192,679,527,053,400,848,948,079,755,734,
525,466,115,511,165,677,192,951,915,799,811,266,230,625,545,050,821,162,339,
088,954,699,958,667,284,554,337,100,025,898,652,909,620,234,361,030,002,478,
876,070,869,388,271,308,775,692,163,427,477,680,339,811,058,915,508,053,912,
913,375,596,373,341,737,798,297,356,292,057,198,847,194,255,786,275,733,251,
629,870,725,344,520,132,018,685,758,478,458,480,376,796,180,597,490,040,110,
234,502,696,901,544,671,125,123,392,273,533,114,944,361,497,583,417,870,340,
877,302,828,180,389,718,146,732,728,412,284,837,614,643,194,309,297,298,679,
962,519,902,194,820,955,457,480,163,351,723,432,972,613,272,979,385,913,906,
339,102,539,252,493,056,689,343,193,162,960,383,645,247,258,572,181,872,798,
785,463,013,257,855,659,919,017,341,112,825,307,416,035,210,927,166,447,756,
905,962,822,525,837,486,032,010,411,671,224,349,459,911,262,798,416,420,343,
784,002,953,261,598,746,970,343,387,608,795,182,349,228,336,996,670,489,812,
027,512,824,569,848,231,972,875,745,832,094,855,277,344,689,634,817,674,479,
769,657,122,081,063,714,459,996,057,268,880,037,553,126,653,498,682,073,133,
958,835,785,183,949,405,023,202,962,614,627,659,943,490,025,097,158,892,057,
977,953,930,702,553,388,406,565,614,238,210,454,668,695,465,723,445,777,587,
247,880,423,330,435,840,230,019,574,552,704,196,259,418,023,905,684,773,061,
746,776,532,744,907,593,573,925,409,800,719,634,608,172,149,760,072,649,057,
965,971,963,152,495,379,727,210,266,279,163,199,096,257,393,292,814,392,247,
988,063,669,055,064,713,629,788,811,850,927,848,309,769,881,771,059,003,259,
504,274,940,288,514,059,483,012,408,376,003,357,869,344,817,021,844,572,207,
747,300,364,909,364,431,968,408,773,106,912,850,226,338,271,157,034,857,078,
416,743,422,085,423,406,189,610,636,255,538,347,080,368,203,726,358,053,709,
207,699,940,799,564,290,222,605,148,840,438,839,826,622,894,217,198,307,871,
841,582,439,579,493,488,280,133,383,509,123,147,461,917,656,939,286,026,863,
190,510,286,452,039,232,822,258,942,823,231,951,678,667,187,507,045,375,211,
263,551,938,237,101,028,448,137,895,931,977,551,725,061,532,570,396,493,869,
593,489,028,609,723,740,559,589,483,933,519,427,173,743,047,960,062,224,512,
090,093,646,994,797,817,342,459,622,795,419,986,810,696,842,416,409,339,908,
851,565,231,778,098,227,617,731,118,566,956,811,271,835,081,029,557,917,774,
045,607,820,579,288,437,417,960,588,262,539,857,212,097,422,033,324,104,203,
818,617,650,003,675,722,478,504,900,677,817,172,778,789,187,437,848,164,571,
778,320,445,575,531,678,911,084,492,557,265,309,917,102,790,766,227,852,997,
077,129,070,840,290,099,671,703,062,506,216,171,485,156,800,178,581,126,880,
895,297,932,582,894,571,783,252,455,070,936,536,472,798,628,503,545,666,412,
442,047,617,208,342,239,981,377,178,452,753,528,764,566,458,025,284,251,532,
537,777,964,833,737,225,651,294,471,878,466,219,780,808,108,991,477,318,505,
883,676,826,983,831,422,514,583,013,619,463,735,863,119,360,489,968,150,267,
834,389,783,789,574,499,225,778,052,413,311,575,813,883,678,688,806,083,773,
892,439,609,213,640,873,398,536,341,810,491,058,715,512,786,126,096,458,294,
948,240,603,467,972,121,378,409,627,541,663,834,518,056,975,108,752,460,467,
191,870,291,437,154,457,009,945,331,573,868,552,964,187,496,435,938,935,931,
394,908,257,870,914,606,038,769,563,608,922,012,578,338,927,070,877,864,927,
832,796,471,457,053,192,323,408,783,150,944,914,466,707,205,655,107,299,388,
470,571,478,715,462,513,880,804,280,740,289,785,699,631,127,802,385,212,057,
405,519,007,497,448,214,877,714,858,991,080,021,555,502,952,277,044,652,903,
658,201,646,165,619,321,847,926,818,409,962,040,893,538,178,909,094,659,733,
735,506,203,338,953,116,140,561,650,414,140,730,238,498,290,286,373,930,825,
252,468,211,372,155,030,148,817,144,405,945,664,016,922,044,125,323,358,110,
658,410,060,725,869,375,285,690,101,853,460,110,833,026,629,061,699,179,955,
267,757,503,633,475,125,171,479,559,850,566,252,511,726,119,079,805,448,043,
162,816,251,014,900,296,361,848,455,086,915,989,094,097,907,769,859,467,723,
382,857,899,653,089,020,469,079,184,427,032,996,837,128,434,341,239,700,113,
021,110,937,858,009,775,636,575,816,730,598,277,580,584,813,537,328,840,519,
585,477,020,917,268,027,482,438,873,141,473,888,582,410,855,040,555,572,451,
507,330,516,726,551,153,263,942,751,725,923,091,894,243,746,833,204,876,170,
802,879,689,874,345,305,483,104,871,390,076,775,000,790,611,854,733,779,167,
620,871,768,720,054,495,641,385,077,449,679,089,156,535,422,926,085,416,999,
538,748,552,692,636,777,872,158,509,355,887,102,136,902,347,910,472,053,076,
219,655,445,901,267,751,881,248,188,032,008,389,955,105,439,962,551,422,694,
461,870,415,384,716,208,621,187,880,567,723,808,223,856,324,934,112,792,258,
238,612,023,505,453,693,591,758,898,178,020,265,976,797,065,748,517,807,584,
219,105,821,693,250,978,248,758,217,249,530,716,544,194,507,879,795,727,327,
136,672,908,561,928,085,988,109,860,002,484,157,518,466,220,748,814,809,464,
371,201,879,052,276,743,460,950,643,645,867,708,782,429,650,140,719,273,425,
746,124,466,482,073,355,163,223,597,730,103,611,541,897,388,882,401,919,334,
287,542,572,292,210,185,843,494,748,680,261,714,753,008,872,000,520,201,587,
361,700,862,190,911,182,494,427,043,134,146,679,823,484,275,180,467,482,399,
650,411,870,648,876,075,713,091,790,771,457,231,546,161,568,063,029,520,799,
563,921,672,560,554,966,780,951,037,764,659,963,130,885,699,775,518,353,166,
982,290,609,917,713,125,615,958,169,370,889,714,037,490,654,548,061,257,547,
076,164,480,967,723,850,361,476,021,061,549,855,180,634,682,259,976,235,509,
970,878,005,436,191,826,863,754,572,544,902,452,004,708,602,831,024,632,934,
661,912,993,180,936,546,507,141,793,659,379,419,819,680,255,945,139,982,131,
079,765,608,549,987,352,738,149,729,397,867,766,408,447,337,906,973,024,562,
147,317,674,644,320,545,381,791,273,192,114,904,351,149,213,681,064,822,498,
867,721,919,183,126,667,901,098,836,246,215,565,447,699,892,226,066,441,065,
381,410,938,394,448,275,536,647,134,231,056,338,431,673,950,400,371,432,335,
441,411,671,858,492,723,516,783,976,029,811,401,816,361,169,445,088,150,632,
868,667,105,931,050,356,474,130,449,117,428,039,304,524,209,406,367,538,096,
837,906,027,459,728,586,788,155,068,656,313,635,768,808,582,013,613,089,595,
005,942,983,420,999,193,591,780,180,175,947,191,721,117,561,332,131,587,814,
241,516,208,451,928,189,846,546,301,462,839,930,580,574,586,393,915,952,323,
847,990,294,052,372,558,685,791,862,822,709,705,817,550,012,757,547,552,157,
626,936,162,459,968,555,592,213,675,585,585,394,504,772,791,635,605,718,766,
573,891,652,856,984,034,567,358,840,242,668,363,134,865,624,024,422,598,232,
917,065,288,092,089,916,834,124,375,466,811,737,148,900,864,370,204,880,089,
169,051,850,087,785,442,718,673,111,714,473,384,957,497,650,530,059,332,185,
199,988,044,207,805,396,952,644,614,622,285,661,716,683,083,274,097,556,382,
028,430,966,365,410,257,103,096,052,012,836,399,709,280,693,935,131,893,263,
729,255,240,004,241,991,920,085,871,908,312,355,045,794,965,206,591,864,370,
949,684,234,309,316,055,158,667,483,096,260,225,736,288,104,652,668,952,044,
215,637,746,508,831,998,957,234,626,663,782,450,322,894,241,029,488,994,880,
915,566,815,181,156,863,612,871,695,585,262,746,578,942,033,256,134,318,541,
737,378,843,758,335,320,833,864,013,172,223,851,361,281,707,154,699,281,838,
199,522,128,894,808,285,074,717,897,593,152,365,791,920,682,742,089,363,360,
306,303,206,486,542,120,016,415,807,084,616,679,375,475,640,368,734,552,869,
303,737,051,148,546,641,055,675,779,977,774,882,646,645,262,692,900,449,633,
807,750,052,816,893,851,769,536,109,976,687,470,245,523,840,048,357,374,302,
076,168,287,611,045,903,674,710,880,163,949,631,248,120,296,540,269,718,387,
711,962,602,047,677,069,224,578,554,550,018,577,444,063,444,075,807,647,068,
920,547,703,014,528,001,229,614,420,539,085,729,272,172,080,608,867,376,203,
957,303,362,432,051,045,080,753,717,704,296,101,792,781,847,847,720,349,849,
900,582,787,055,326,137,462,462,509,788,031,084,429,627,084,978,988,041,500,
047,161,009,116,959,165,240,869,702,997,504,827,626,825,639,488,794,412,764,
598,236,791,743,079,011,346,068,365,601,472,103,701,524,579,563,522,131,043,
149,724,494,388,920,834,148,322,951,170,381,140,842,553,968,724,170,146,885,
409,386,473,986,632,514,166,788,423,728,527,988,260,742,744,448,964,999,480,
371,244,917,765,739,461,396,970,767,058,544,270,966,505,206,609,046,627,669,
835,312,133,276,467,232,783,250,348,940,303,461,027,837,018,203,777,427,076,
778,640,322,164,491,961,538,639,916,346,116,778,989,656,044,742,191,192,140,
202,841,704,378,619,813,420,646,671,957,661,215,034,765,883,397,820,454,258,
463,193,760,783,142,023,252,352,906,175,653,208,316,772,230,652,758,666,463,
639,490,236,701,246,476,524,955,072,871,765,333,550,911,181,132,658,267,202,
212,525,171,365,581,365,678,481,838,678,354,147,701,288,573,444,325,351,811,
691,325,146,556,966,717,147,272,887,153,239,992,759,853,089,729,128,904,658,
598,719,503,081,790,462,589,281,714,918,088,973,349,862,924,000,498,826,972,
316,834,895,313,215,387,016,727,671,224,563,196,565,636,758,201,140,563,639,
117,187,679,230,028,464,493,520,624,724,281,728,852,112,911,736,113,078,036,
665,010,925,216,380,978,879,216,471,985,360,828,984,239,334,808,828,116,838,
324,456,651,641,627,311,696,765,860,398,676,911,647,143,067,126,351,440,669,
987,149,152,131,710,721,054,288,022,374,119,312,382,577,196,658,294,104,605,
266,103,546,190,909,251,278,656,156,041,702,544,064,684,967,040,831,818,509,
312,576,566,432,908,703,461,841,553,909,788,875,588,937,250,345,370,929,792,
977,234,991,218,173,929,228,813,090,445,486,499,555,259,436,620,325,847,916,
414,263,946,876,741,429,709,187,960,595,320,657,666,127,148,680,927,160,387,
304,817,395,032,039,676,983,737,449,421,733,968,538,612,191,942,685,178,305,
657,362,367,019,520,233,860,748,935,629,953,364,639,744,424,776,402,923,944,
690,114,383,846,700,271,002,833,625,551,667,644,991,684,101,211,863,128,073,
716,994,858,338,244,175,599,459,886,372,530,725,453,582,976,069,584,691,111,
800,408,147,522,839,133,019,845,830,217,512,782,990,722,249,591,843,725,894,
636,865,744,884,643,042,428,155,154,849,617,862,838,790,414,429,512,240,878,
007,862,956,908,412,018,161,406,645,476,848,388,944,888,370,744,930,844,343,
345,335,368,898,083,886,082,018,069,432,705,816,604,267,901,640,784,086,569,
838,973,768,485,376,177,469,662,172,360,717,155,274,311,629,479,343,059,118,
170,460,738,831,164,075,192,149,318,159,437,999,165,675,190,681,680,554,809,
399,194,350,478,274,476,450,119,971,874,211,629,835,102,955,152,609,614,817,
696,558,272,248,650,486,237,091,086,095,383,805,895,254,172,055,368,931,784,
981,095,684,481,744,236,339,857,068,684,482,767,555,327,028,635,099,173,491,
195,809,048,526,587,494,140,081,943,005,579,861,646,342,443,062,945,735,825,
053,688,462,312,094,649,769,471,519,056,053,673,207,107,865,254,514,895,676,
936,984,441,705,925,876,929,708,596,626,321,918,168,971,971,319,261,116,457,
154,973,836,349,247,926,146,715,085,678,156,576,633,169,925,213,412,109,057,
245,471,507,564,419,844,874,333,743,644,807,657,880,264,846,048,841,222,131,
665,946,706,759,328,520,708,005,278,483,939,774,113,617,388,672,172,854,333,
632,791,656,039,207,108,717,933,756,069,219,330,884,196,090,415,565,214,336,
309,547,072,654,349,526,655,173,199,018,268,915,598,776,642,187,272,811,722,
483,135,374,572,296,915,762,005,668,632,169,259,610,522,899,807,192,906,692,
054,155,968,571,739,908,300,136,224,352,821,233,225,483,535,369,677,229,150,
936,384,172,225,665,613,754,140,545,603,856,722,530,536,564,567,543,319,594,
664,380,001,183,517,846,100,112,970,982,739,134,576,549,316,098,488,082,064,
772,649,540,534,902,002,633,493,790,970,189,066,807,479,646,549,147,294,052,
767,706,149,695,228,795,797,719,646,350,663,353,986,742,361,378,941,242,103,
539,528,704,951,108,143,456,428,495,025,204,087,700,806,163,580,498,429,682,
355,093,373,695,622,546,633,133,937,662,948,122,621,590,877,136,505,418,986,
631,290,065,051,383,658,542,799,735,324,539,434,817,507,541,438,568,359,888,
425,184,099,255,083,344,969,301,059,379,226,943,872,965,319,534,767,092,952,
326,461,897,231,230,717,772,457,302,370,151,433,650,418,063,967,276,496,993,
340,391,233,736,298,945,119,707,223,679,143,063,147,096,543,454,672,865,009,
879,713,868,114,809,427,288,834,093,439,556,136,824,437,527,471,987,197,478,
062,872,905,585,816,848,871,636,694,506,326,845,089,911,229,416,861,596,286,
416,224,865,671,716,049,070,885,206,671,334,184,480,435,976,744,257,374,632,
392,997,507,655,356,363,251,609,402,195,249,769,812,440,596,865,914,280,487,
548,065,950,750,717,080,453,427,274,500,697,358,216,760,525,263,340,785,128,
773,073,674,006,978,010,746,766,688,414,716,906,082,213,109,447,055,385,365,
830,076,786,861,025,210,482,261,030,304,815,366,907,639,125,605,102,819,828,
953,936,277,625,104,654,456,957,602,177,714,785,523,367,632,679,648,560,051,
441,703,312,453,288,812,084,298,491,628,815,061,644,759,660,403,814,731,292,
412,806,329,471,781,065,789,764,533,277,910,834,407,605,508,418,436,024,608,
226,906,614,086,922,015,087,159,988,645,732,098,125,084,472,970,435,117,463,
424,232,938,396,710,381,486,699,452,696,682,224,508,422,366,403,783,913,351,
913,746,057,379,198,560,924,800,397,216,934,083,419,270,811,138,355,123,387,
258,399,315,367,887,653,265,785,538,811,996,356,109,816,165,286,948,065,153,
885,777,758,114,366,485,323,998,148,111,926,112,081,415,125,545,567,621,939,
426,823,559,099,899,716,496,729,346,246,282,386,296,943,133,474,905,433,259,
783,728,015,921,411,058,774,191,144,325,194,976,801,435,438,149,923,262,561,
578,135,205,009,858,546,381,149,977,100,345,169,213,527,213,938,531,242,216,
743,494,897,824,033,429,774,624,317,046,908,611,429,533,189,905,353,709,543,
844,796,493,777,503,252,327,913,110,220,635,040,669,566,395,071,590,516,042,
090,582,592,786,550,193,421,361,624,743,280,492,996,130,337,612,311,030,857,
235,059,072,654,786,891,200,537,777,166,422,519,202,951,603,899,661,126,557,
422,625,576,043,147,243,842,750,369,854,316,617,675,215,020,686,813,521,647,
265,757,842,498,234,802,978,282,149,127,184,737,403,385,432,335,647,381,558,
719,691,140,219,721,646,284,009,405,291,422,845,122,818,088,044,490,969,874,
009,305,351,766,153,320,708,218,432,802,645,333,633,834,208,547,293,699,015,
736,234,003,265,745,377,222,771,650,118,404,215,181,849,227,775,584,289,760,
513,690,906,204,404,179,050,768,154,017,795,119,101,961,224,200,957,198,521,
629,448,565,590,095,033,616,515,515,595,342,814,908,625,207,825,984,825,265,
881,194,844,196,111,742,288,499,845,851,400,887,445,411,950,619,057,926,128,
846,331,505,918,514,302,658,509,711,716,308,231,860,372,564,849,735,667,545,
189,973,702,372,026,843,205,901,592,273,641,354,619,177,247,057,126,783,407,
709,454,585,928,449,217,117,857,942,480,817,208,334,473,753,863,449,913,644,
896,370,527,793,721,760,146,388,577,247,886,944,152,442,153,854,691,436,781,
542,190,582,545,880,854,680,253,807,551,141,564,398,716,912,874,807,570,889,
100,475,496,563,844,375,693,720,785,564,452,779,688,629,736,464,637,583,395,
735,056,307,590,469,459,619,783,454,578,923,825,603,317,084,300,428,062,131,
110,263,561,591,917,902,289,377,900,993,765,447,106,054,735,725,530,286,956,
104,735,850,556,963,564,809,803,082,594,641,918,825,498,214,729,895,991,717,
384,032,807,749,743,737,813,174,705,144,510,122,555,582,657,825,300,740,005,
161,867,208,182,827,809,279,989,862,890,215,471,390,661,805,138,178,791,670,
676,800,674,040,152,520,352,597,906,907,901,931,931,738,189,484,627,344,138,
419,109,714,287,340,292,214,265,175,982,438,855,226,292,365,348,497,032,710,
007,208,002,846,940,766,372,753,875,638,628,835,537,339,767,007,887,882,940,
339,725,530,655,135,470,148,494,087,777,736,471,270,737,009,353,939,705,051,
658,154,519,061,853,784,971,379,502,111,653,306,972,697,449,374,977,655,387,
908,089,684,625,222,216,153,812,716,039,886,954,871,136,216,749,109,312,574,
740,696,100,112,853,449,408,846,984,187,610,047,923,597,337,241,179,561,875,
351,348,962,332,203,503,681,636,588,078,069,169,161,213,136,186,105,482,790,
019,773,331,732,296,235,643,294,275,672,243,913,038,158,593,655,557,427,254,
428,781,358,684,267,299,658,933,091,519,085,678,375,003,712,485,367,437,562,
086,323,734,259,506,957,376,824,148,593,695,817,866,936,317,798,398,794,255,
650,606,216,009,967,617,382,167,139,086,108,387,624,964,944,939,715,975,687,
136,923,082,849,174,213,925,758,387,308,543,450,997,503,671,058,594,838,268,
362,151,361,846,574,689,810,762,819,777,161,182,714,653,393,965,264,827,614,
556,877,811,468,666,952,993,520,870,255,338,204,834,627,409,367,755,651,833,
470,376,891,909,481,025,023,475,137,726,908,790,772,941,079,973,178,590,392,
297,634,060,081,305,263,780,012,371,282,488,604,921,017,784,062,883,575,453,
967,030,022,217,013,133,338,400,547,415,806,061,632,157,932,848,447,099,888,
332,817,437,486,077,197,731,911,493,753,552,340,487,383,863,981,908,571,543,
022,393,806,976,327,942,751,813,265,159,250,687,753,730,098,417,407,292,397,
644,414,607,305,158,412,907,156,378,811,738,245,722,428,422,307,761,333,027,
297,386,316,922,879,237,011,896,269,514,158,910,429,126,516,505,593,081,327,
820,007,871,686,550,772,667,366,316,321,767,128,979,810,812,756,544,235,196,
152,201,038,413,755,200,705,195,537,281,929,430,325,820,524,399,754,650,889,
659,159,721,798,177,637,735,324,332,203,369,204,673,625,995,676,632,623,060,
712,265,243,962,295,163,883,237,511,805,531,053,825,133,239,203,021,341,031,
343,163,666,277,052,411,037,085,303,781,632,093,573,938,892,739,281,781,715,
368,611,598,561,219,471,129,619,387,305,811,302,476,306,328,923,936,258,639,
381,184,050,891,042,538,664,281,893,718,612,000,444,624,120,008,217,540,072,
195,448,713,444,476,436,093,575,111,375,628,847,584,794,216,054,033,760,220,
283,319,653,185,409,544,303,880,515,210,142,402,004,238,022,464,028,875,779,
518,513,261,541,677,404,086,067,986,921,817,830,323,515,126,417,720,926,471,
271,971,282,638,938,770,844,162,659,371,402,921,961,703,308,445,480,115,848,
278,053,875,409,030,031,586,504,859,178,890,471,728,231,756,657,980,219,862,
663,275,824,327,802,542,567,606,131,172,858,218,992,489,834,231,083,272,328,
517,752,207,838,971,213,796,549,479,865,935,359,578,971,951,565,332,168,605,
590,480,803,467,142,876,241,764,215,503,230,536,955,945,549,277,361,705,030,
046,422,343,240,808,956,098,791,211,456,630,893,481,849,255,379,471,475,903,
725,203,993,497,019,454,504,456,455,003,591,397,388,545,834,916,230,726,995,
714,001,429,361,557,630,589,487,518,447,245,048,647,098,496,044,841,078,996,
588,945,173,816,311,390,884,108,151,642,224,613,200,324,082,537,615,568,325,
217,272,142,328,547,702,731,401,532,245,451,529,993,880,429,566,316,052,795,
303,920,826,841,187,219,964,549,816,379,445,736,403,309,213,366,491,502,965,
848,096,511,299,424,512,679,123,576,103,846,647,816,079,214,348,112,133,247,
578,750,980,338,236,696,530,427,562,320,893,855,739,496,169,070,563,736,533,
420,566,423,227,693,097,914,047,481,740,437,799,840,061,723,832,445,113,135,
778,048,459,936,608,024,751,522,958,108,048,252,035,795,297,262,137,903,310,
946,488,434,788,264,984,997,754,336,765,554,464,113,161,792,447,060,862,070,
859,055,702,857,916,004,719,908,962,274,917,942,598,266,584,845,690,830,414,
607,485,897,098,333,807,492,307,473,715,617,373,651,977,760,355,350,409,118,
567,883,312,404,160,875,659,614,321,195,124,771,222,370,446,582,856,004,846,
556,132,753,023,482,713,936,019,698,726,927,747,255,668,611,864,114,726,058,
568,928,001,347,460,354,533,316,506,385,545,518,522,480,618,784,686,995,426,
765,562,068,144,079,724,113,318,405,055,234,404,998,303,015,345,964,591,336,
551,498,990,443,688,828,587,482,018,918,377,668,576,347,091,318,689,174,224,
076,009,424,897,566,432,791,593,664,969,747,890,447,543,932,486,794,998,298,
037,389,176,435,261,572,394,555,156,144,282,644,403,673,218,446,917,090,756,
665,928,229,962,066,244,552,475,601,775,320,742,556,899,546,255,189,238,171,
435,594,858,418,518,382,108,917,179,787,518,780,922,706,966,617,609,639,893,
224,166,020,808,615,793,721,494,498,063,961,575,581,425,596,294,827,896,644,
900,434,306,023,403,831,245,618,851,044,746,640,053,181,537,934,673,897,347,
937,774,299,768,723,391,646,235,341,224,286,375,948,317,005,776,593,459,180,
594,806,874,394,293,346,134,188,226,186,885,761,281,265,460,255,788,083,322,
391,105,994,400,469,133,137,267,343,010,843,959,915,539,596,029,415,013,454,
225,098,239,377,005,046,814,413,389,473,434,730,687,035,329,932,530,641,576,
085,731,870,020,299,427,487,098,293,587,729,737,927,960,811,728,922,091,394,
033,058,537,906,406,275,848,111,887,382,223,403,788,108,766,145,002,078,270,
804,669,779,737,555,528,242,635,061,752,343,205,609,101,105,006,948,201,463,
400,671,276,866,770,126,141,034,143,062,740,573,646,042,057,953,817,787,267,
301,465,534,951,932,440,619,475,367,955,832,261,920,200,276,148,910,494,563,
424,002,706,984,898,756,509,096,187,608,454,620,373,699,603,992,257,445,230,
696,620,182,221,020,822,548,086,956,761,941,792,633,598,522,192,146,425,979,
323,322,459,854,896,417,728,205,858,876,327,006,963,486,811,173,174,545,424,
527,921,174,157,364,708,987,356,352,032,608,779,401,767,806,586,018,921,056,
905,176,282,676,485,560,569,026,136,436,679,386,540,510,242,645,835,264,973,
197,659,865,973,085,429,598,426,929,395,167,565,880,740,154,249,171,679,628,
243,563,158,364,678,546,153,237,534,107,639,752,511,281,610,939,064,039,461,
728,091,785,570,818,812,630,240,899,219,391,989,973,776,446,697,623,464,717,
627,723,476,763,605,379,416,608,544,055,854,228,413,352,445,702,173,612,507,
828,086,302,319,687,004,333,780,171,713,458,331,530,943,574,743,303,440,130,
282,950,397,378,913,291,478,176,025,075,202,718,624,559,230,224,283,545,563,
935,639,790,628,344,311,856,489,021,342,313,523,383,652,561,795,524,606,167,
495,790,591,406,688,010,352,348,677,460,308,141,012,487,479,839,416,003,935,
714,765,337,506,757,314,973,093,808,782,413,490,832,895,975,794,467,224,513,
353,043,010,571,568,043,746,918,183,773,832,649,679,210,951,757,835,419,172,
770,939,119,490,642,929,358,728,500,805,377,322,044,449,235,305,548,121,310,
024,240,350,381,485,630,316,672,340,720,559,195,077,731,386,626,030,234,891,
726,773,352,129,867,010,918,010,497,010,387,585,928,947,359,058,791,031,507,
512,252,538,934,336,992,444,949,994,451,275,345,715,801,860,165,219,076,118,
017,232,595,357,762,184,191,017,179,965,259,250,877,759,902,596,660,508,928,
835,630,349,468,801,400,872,845,449,786,325,248,080,575,577,132,047,746,719,
073,204,529,262,976,604,223,724,845,562,022,448,324,964,885,719,690,166,646,
396,296,741,007,328,062,196,797,624,134,194,881,952,879,793,075,522,968,293,
842,703,566,148,049,323,931,073,980,990,890,873,411,763,178,248,687,435,869,
648,152,309,089,362,399,013,986,334,296,406,316,351,622,919,190,541,168,320,
156,498,185,266,816,359,425,811,695,702,704,154,223,885,543,119,946,273,409,
049,138,388,461,175,381,804,365,591,154,562,045,396,257,187,718,665,045,418,
756,924,660,014,626,719,524,331,455,836,846,549,126,069,653,614,267,787,346,
589,835,230,132,489,245,244,443,793,142,662,324,328,394,231,702,560,325,964,
206,564,427,258,145,357,161,808,435,002,280,920,441,211,510,052,919,400,188,
982,235,911,834,423,678,326,734,880,840,689,700,139,520,905,616,936,390,335,
391,972,141,396,194,095,090,552,328,403,972,664,040,178,387,149,724,347,114,
882,991,835,827,502,381,775,833,659,616,807,509,290,331,915,738,463,104,829,
825,875,345,316,715,743,089,452,437,071,448,894,926,230,024,959,906,135,291,
758,621,389,488,813,026,458,486,186,428,277,920,601,980,960,583,879,690,642,
573,306,646,619,012,588,791,917,756,745,696,401,910,113,208,328,074,470,197,
071,756,332,476,241,096,865,727,104,067,991,128,797,314,754,339,338,206,754,
053,103,512,539,738,653,935,242,316,442,227,005,269,253,126,461,682,474,991,
320,563,408,696,715,575,773,759,998,293,092,641,957,711,331,576,271,044,646,
893,628,124,859,811,689,111,503,318,783,848,538,053,486,310,177,789,404,861,
205,245,888,944,037,219,692,530,760,920,596,492,960,738,711,604,033,993,707,
177,478,358,225,573,766,956,070,296,263,815,745,341,131,835,217,902,501,644,
039,061,681,450,933,128,703,475,473,749,332,881,989,569,233,992,406,206,685,
923,011,717,885,148,094,332,266,329,688,001,732,211,844,128,641,047,337,477,
879,890,825,424,659,077,174,191,124,449,153,275,908,578,224,244,932,388,381,
930,627,798,423,103,233,611,417,227,512,434,623,909,858,355,599,044,206,994,
862,259,886,581,594,398,621,115,623,155,736,503,499,193,189,960,741,701,459,
402,248,544,571,007,818,235,738,013,112,523,828,230,092,832,599,923,694,534,
628,257,214,579,991,812,342,481,019,669,071,569,820,076,412,490,832,363,074,
985,294,385,964,333,635,458,957,898,655,810,303,042,091,568,941,165,482,162,
535,815,832,915,815,917,486,105,420,311,772,845,551,592,420,692,707,784,639,
112,372,404,117,409,202,661,303,540,582,789,358,956,291,573,459,955,220,703,
349,366,507,079,314,556,910,844,277,387,685,861,581,137,890,745,527,483,586,
036,617,871,270,819,655,569,233,713,712,589,834,372,791,207,070,880,868,598,
700,707,990,336,848,394,829,506,398,855,220,547,639,002,832,098,915,828,775,
160,172,039,726,617,420,281,478,707,769,790,175,460,223,908,515,945,377,341,
885,095,521,426,758,572,831,450,742,432,949,500,135,998,014,297,002,904,858,
816,877,209,423,961,237,381,439,893,455,007,521,280,338,974,315,524,114,213,
243,931,909,353,350,714,459,121,408,352,797,373,259,643,780,782,398,704,073,
574,409,513,489,152,727,013,529,493,635,760,010,233,467,588,830,965,359,789,
320,611,368,789,656,637,356,651,926,697,495,706,749,915,460,711,314,912,556,
910,967,224,874,840,915,083,052,779,092,416,934,671,085,154,390,927,304,492,
527,603,030,311,328,866,076,160,777,114,894,094,064,208,829,603,023,725,774,
567,523,630,008,390,257,615,117,465,036,146,121,068,887,420,953,720,973,208,
332,046,944,214,839,026,196,791,455,251,593,085,233,444,219,117,241,260,512,
628,033,198,363,783,730,846,123,549,953,684,141,776,216,738,443,575,816,199,
295,350,013,109,518,180,820,249,269,663,909,193,177,291,938,874,120,913,565,
836,963,856,216,065,003,196,131,078,633,877,790,863,247,655,478,106,272,878,
273,562,693,655,860,822,829,586,100,995,724,852,012,416,603,603,262,192,119,
323,396,055,872,537,146,255,228,197,771,157,894,568,561,490,917,575,790,759,
098,914,952,505,578,127,476,597,986,764,596,373,720,134,312,957,674,051,660,
120,090,651,518,735,865,324,867,574,303,039,016,299,209,413,100,452,929,778,
371,202,645,045,215,116,298,150,333,769,198,968,281,001,936,727,492,018,089,
686,052,072,512,911,715,840,963,865,886,451,635,460,715,202,817,319,630,890,
615,525,514,486,114,311,230,433,885,480,047,968,952,596,553,706,061,723,295,
295,364,885,863,933,020,273,352,967,331,863,414,085,534,802,595,455,721,486,
155,434,650,187,131,750,511,830,150,306,217,058,279,622,078,693,294,777,759,
392,338,847,148,540,108,833,500,399,725,934,884,295,057,204,345,558,253,525,
824,339,545,733,479,971,540,045,140,078,159,016,335,784,907,474,000,847,546,
951,911,869,924,445,992,031,185,740,708,352,718,521,368,101,682,900,806,103,
968,472,114,714,040,231,691,065,325,213,384,676,855,216,091,808,752,033,695,
481,020,521,273,159,356,718,400,780,852,438,854,117,027,010,894,475,489,978,
147,520,310,641,750,143,121,865,409,413,766,804,288,154,261,288,397,195,358,
946,441,281,785,509,356,332,861,489,610,401,062,550,206,213,933,895,606,837,
979,387,199,639,007,792,815,116,623,623,351,581,119,112,978,462,198,757,867,
888,896,146,099,688,682,914,503,229,512,914,445,176,472,169,622,534,798,509,
719,860,751,888,915,348,818,351,513,186,482,763,432,675,204,365,076,536,148,
144,287,006,318,451,795,873,379,196,448,336,863,643,330,251,956,292,747,180,
984,034,625,807,905,230,571,135,630,057,180,596,524,850,852,659,604,085,193,
114,485,744,611,129,257,139,246,455,913,272,303,706,287,267,833,400,486,733,
817,644,439,066,911,799,097,548,456,035,439,671,273,660,253,345,059,910,228,
173,693,176,196,159,509,669,068,729,367,726,481,864,390,559,466,958,343,112,
506,548,597,420,790,810,734,054,811,901,806,763,607,863,532,755,447,880,986,
233,769,542,171,950,548,279,296,884,828,066,035,078,383,959,148,550,262,735,
764,740,806,255,724,910,546,432,569,220,426,737,041,857,272,951,198,759,551,
760,186,960,187,579,799,964,270,258,111,652,984,647,355,806,389,396,418,800,
934,508,038,274,103,192,188,955,558,706,768,567,722,531,524,203,004,619,057,
812,019,156,121,089,501,680,109,112,415,194,538,790,428,348,511,368,350,077,
760,695,035,109,633,656,861,962,646,606,327,546,765,914,993,130,384,499,186,
382,784,594,518,215,455,305,337,922,358,345,084,603,787,395,856,093,610,455,
862,823,111,159,243,891,453,174,547,683,176,057,191,968,585,047,225,057,898,
099,574,355,276,712,124,444,379,817,918,606,085,166,945,321,787,618,859,901,
011,782,406,013,635,774,279,708,528,749,810,995,027,229,663,328,923,835,888,
237,045,544,175,619,636,174,846,248,314,471,845,800,700,153,397,984,606,865,
086,786,516,612,842,067,597,973,318,469,938,212,583,190,688,935,794,809,447,
849,332,808,124,202,619,543,746,072,688,533,687,424,794,364,921,449,157,417,
162,089,194,974,474,246,228,135,574,510,444,039,741,697,765,966,519,095,231,
642,407,994,193,904,965,994,808,703,179,243,028,901,490,937,313,839,258,852,
250,706,072,191,126,013,965,058,013,318,667,517,435,691,843,906,975,084,051,
790,726,263,555,792,853,844,202,619,446,121,259,273,509,361,338,539,028,312,
529,533,328,161,604,425,283,799,826,710,456,285,219,706,536,447,557,821,668,
796,747,504,838,030,593,059,095,782,606,270,898,040,937,779,530,155,268,568,
206,766,531,501,853,183,184,088,750,342,029,487,190,306,783,302,847,815,925,
759,005,016,747,869,128,683,766,390,350,888,950,656,180,816,561,888,109,668,
392,464,885,324,391,659,701,184,840,867,868,228,742,697,848,972,162,798,906,
883,628,765,827,330,743,526,917,033,405,699,428,979,692,459,565,543,690,302,
016,202,681,770,853,571,903,485,044,767,128,363,181,721,555,642,483,234,163,
777,769,330,413,252,335,489,045,737,779,500,830,310,400,381,599,339,073,890,
424,808,554,248,401,663,751,168,293,345,626,351,231,208,416,220,336,934,122,
463,639,065,058,181,018,835,814,490,769,330,183,806,166,096,427,558,267,930,
137,336,215,344,055,701,861,855,599,026,787,311,078,597,365,674,082,608,793,
002,959,876,862,133,683,971,395,539,601,152,471,416,397,957,034,796,743,284,
804,659,826,733,359,662,273,343,872,793,116,823,258,506,428,553,382,515,442,
497,988,275,786,405,455,425,714,650,026,167,791,103,787,071,119,164,488,634,
773,864,495,828,556,055,229,631,558,761,556,008,711,126,356,938,113,954,555,
744,909,091,971,194,020,494,962,960,853,029,469,579,548,136,517,888,153,878,
841,788,666,052,591,073,704,202,922,634,140,739,821,249,809,971,705,344,056,
854,317,128,064,315,166,400,245,331,887,232,278,043,382,722,028,341,871,966,
174,904,378,302,349,607,319,646,846,580,602,248,146,997,126,987,114,049,697,
671,516,730,278,175,118,659,822,658,967,881,840,450,569,245,268,248,602,932,
256,724,353,631,787,269,558,199,814,453,806,910,972,611,982,482,591,731,743,
492,115,842,229,035,430,710,172,349,502,783,511,172,041,644,842,297,207,371,
450,915,912,609,803,533,465,476,465,274,288,250,787,605,600,228,978,399,815,
258,786,896,299,487,373,906,074,928,262,483,677,047,826,916,947,616,057,643,
701,093,806,777,004,691,567,898,238,884,811,437,570,193,442,070,371,499,422,
922,706,645,764,119,633,490,213,452,387,678,229,040,748,056,791,791,038,727,
179,858,815,146,746,117,571,530,726,431,943,105,090,279,154,586,972,385,123,
402,299,768,601,820,426,386,148,602,986,415,373,316,224,243,868,047,524,759,
610,712,054,497,461,697,265,600,566,714,137,073,963,453,231,398,964,129,061,
422,565,055,455,376,089,805,839,241,926,010,130,580,457,509,944,123,362,041,
056,177,056,586,080,172,715,866,943,597,502,122,807,785,193,233,703,814,794,
190,411,997,743,320,896,427,844,325,375,754,012,113,718,233,873,099,013,919,
186,918,361,930,468,423,201,220,631,776,857,349,496,476,135,310,895,024,413,
227,840,262,877,175,193,397,880,288,338,053,165,136,935,533,541,055,123,202,
087,665,991,578,223,478,517,736,609,461,802,821,962,662,850,840,447,642,333,
392,829,168,309,783,445,916,625,226,933,732,985,688,138,915,863,098,308,140,
513,682,554,189,667,035,997,767,354,441,328,134,019,640,425,444,082,242,112,
421,275,301,312,071,503,345,904,896,070,496,651,458,934,686,753,711,529,069,
777,652,976,031,154,077,337,763,439,327,735,823,587,633,826,296,384,321,212,
880,728,616,086,850,338,127,376,272,463,722,648,640,999,889,614,570,674,556,
636,418,992,633,925,796,212,610,384,651,990,593,769,658,061,031,030,347,990,
633,431,151,195,693,428,603,528,827,226,127,387,359,665,883,589,092,926,942,
057,870,172,467,458,222,005,448,368,335,981,382,676,855,532,845,601,528,028,
162,012,819,811,353,951,822,357,349,357,775,555,805,931,157,541,245,092,217,
727,409,099,442,883,478,361,324,580,680,160,057,257,134,459,128,916,247,073,
777,363,851,889,846,228,941,389,109,136,834,554,992,936,589,433,119,711,705,
064,771,831,982,395,719,940,983,477,055,600,929,552,621,360,036,980,574,302,
645,168,754,806,453,275,724,743,334,566,597,823,148,435,790,974,034,893,866,
092,997,557,102,544,611,555,747,566,539,285,047,888,138,122,724,608,283,267,
490,560,098,006,900,841,664,586,166,282,807,787,169,642,093,802,998,782,207,
744,915,969,683,998,799,879,426,158,365,680,481,405,829,371,530,054,879,009,
413,882,277,777,901,336,384,956,542,529,158,491,646,007,867,893,714,042,271,
084,926,688,498,790,999,323,466,558,921,727,948,536,823,928,279,337,727,867,
604,690,036,221,508,347,199,148,686,686,323,426,854,821,814,461,445,832,798,
471,141,894,740,531,757,695,229,594,169,791,487,494,938,362,281,612,772,693,
363,284,246,871,242,401,340,355,998,068,463,896,870,173,353,695,434,141,568,
009,986,381,059,602,333,473,140,206,197,993,751,511,595,427,642,577,986,724,
801,933,588,170,720,511,926,390,138,652,747,106,419,900,170,361,579,061,160,
775,499,635,235,135,427,232,545,302,781,417,887,638,085,107,357,627,751,286,
897,786,310,929,710,639,324,040,088,685,591,212,642,407,270,183,746,592,024,
723,369,217,588,279,487,285,238,734,641,171,951,992,279,800,769,995,292,989,
245,446,355,653,318,700,274,093,392,924,388,859,331,729,064,589,817,180,961,
672,711,042,980,821,308,535,619,419,614,969,971,888,978,399,465,166,301,063,
700,546,603,178,439,388,649,968,987,543,278,719,717,203,212,705,873,695,058,
312,361,313,456,920,489,560,366,987,220,924,289,159,393,088,942,090,617,150,
950,320,730,624,371,089,604,803,864,475,525,938,463,183,845,772,169,801,952,
884,040,656,512,675,910,085,211,573,988,574,950,955,093,172,734,645,998,181,
943,965,290,997,799,666,637,231,036,884,138,394,721,416,000,577,715,942,404,
740,908,916,868,366,462,811,689,403,523,731,740,686,072,402,753,943,257,756,
911,307,806,556,740,190,965,529,811,264,177,499,761,508,154,551,777,797,448,
146,421,919,041,607,931,567,222,403,382,037,909,200,787,312,120,697,686,587,
428,341,785,220,871,674,137,415,833,708,285,705,045,866,327,187,104,497,288,
142,754,949,887,918,444,701,517,331,027,484,501,998,243,413,444,571,873,727,
698,613,389,086,145,929,607,636,303,686,798,091,670,996,254,472,023,946,133,
418,334,349,719,001,680,780,143,034,645,725,783,879,368,833,288,886,226,383,
315,888,627,953,273,545,533,907,623,292,648,476,840,550,491,807,564,512,309,
506,331,389,227,060,902,747,504,459,941,790,165,959,857,621,058,971,110,682,
716,762,709,905,479,666,074,712,481,106,293,511,910,866,441,424,826,126,307,
164,146,950,224,627,830,862,934,641,295,793,049,028,415,627,388,693,566,353,
974,278,162,612,393,261,543,521,184,345,893,808,527,169,038,393,601,902,223,
880,728,552,367,347,908,123,448,756,133,738,638,346,874,395,551,600,844,834,
884,687,776,474,742,948,245,216,039,924,538,278,641,650,291,454,990,513,741,
914,123,238,801,522,374,241,987,963,554,150,367,069,607,323,399,473,270,157,
372,364,197,073,866,207,512,842,336,372,429,716,221,753,771,120,505,042,759,
858,386,989,731,800,514,531,517,910,088,037,258,044,802,459,317,004,430,590,
345,586,636,919,535,527,531,715,682,735,478,444,063,007,598,644,885,846,501,
377,001,066,529,387,454,722,680,306,999,999,565,471,303,441,282,700,130,634,
981,794,347,724,010,992,250,625,011,490,933,203,548,135,997,416,556,091,964,
195,441,233,317,283,374,511,542,765,536,732,494,099,608,385,816,278,787,038,
773,647,677,589,217,820,845,024,628,762,229,440,176,072,449,922,566,844,299,
699,887,082,586,943,643,472,102,493,624,589,759,569,534,019,523,035,093,735,
704,409,438,241,628,944,184,464,990,835,641,618,252,002,727,729,510,843,539,
539,443,398,747,159,502,996,769,502,825,143,389,413,348,315,764,126,021,622,
568,568,026,725,459,857,811,461,951,371,630,330,761,928,413,507,918,235,391,
877,350,411,365,352,812,741,533,872,555,848,407,051,716,851,292,643,603,144,
353,616,121,142,342,442,568,516,272,637,446,316,321,772,790,930,525,027,249,
524,092,308,638,942,971,668,850,889,590,538,008,188,867,559,050,223,076,577,
942,560,864,725,871,352,179,437,432,045,350,188,594,761,447,742,988,214,746,
543,781,289,749,747,042,522,110,429,923,913,114,843,652,177,819,151,927,067,
577,326,266,608,523,425,523,392,446,166,525,770,570,104,911,325,849,797,665,
339,093,852,181,725,202,010,751,784,771,093,482,888,653,331,293,542,990,366,
087,040,988,859,762,448,834,215,841,987,439,717,252,876,492,518,876,491,728,
909,246,358,042,901,621,511,250,853,919,994,003,919,227,956,984,193,095,681,
439,227,689,853,370,890,585,872,023,105,319,814,109,599,182,457,675,756,033,
373,650,339,201,282,951,801,986,064,315,158,414,492,325,840,516,989,197,418,
258,505,207,179,063,800,767,326,544,413,750,086,057,504,484,777,324,339,369,
932,642,456,323,592,060,813,316,004,980,475,407,424,708,742,073,074,386,647,
774,981,587,963,849,085,763,442,301,733,311,290,179,572,836,644,099,653,267,
857,951,066,124,631,463,965,769,346,431,328,186,114,771,652,178,610,770,716,
865,264,725,030,503,312,289,219,778,370,255,696,068,341,787,607,919,773,218,
283,089,809,922,347,545,260,049,148,011,004,309,996,595,082,483,919,371,695,
140,795,190,460,066,583,769,461,848,294,832,356,000,717,306,445,046,921,237,
876,049,472,517,466,914,626,077,297,514,529,451,607,411,456,036,885,024,918,
783,529,057,972,708,979,420,012,001,831,953,456,272,195,934,650,950,388,422,
356,398,679,568,159,241,845,357,887,149,738,194,091,992,402,771,918,035,435,
694,731,674,525,813,625,401,084,527,941,801,465,468,302,824,585,283,929,805,
475,433,539,155,228,966,375,800,371,794,718,367,470,663,593,553,616,635,399,
805,811,781,553,257,174,548,575,913,936,758,887,541,968,846,043,973,366,998,
261,518,559,699,698,638,522,855,736,179,810,165,267,156,432,644,310,626,614,
092,425,154,942,574,038,446,699,597,770,792,940,687,362,202,021,283,296,499,
126,351,108,020,304,404,255,680,004,738,594,095,365,579,945,748,693,032,075,
705,781,634,397,057,675,892,785,013,280,427,977,079,830,738,456,192,960,808,
566,969,370,947,761,367,459,121,471,327,426,360,150,348,939,634,319,511,152,
484,080,081,832,473,479,989,953,986,305,907,324,294,465,547,408,256,764,972,
459,563,258,718,641,352,625,432,974,034,438,142,072,172,409,818,528,313,316,
183,175,440,751,800,540,257,050,466,493,132,508,097,156,556,271,556,896,450,
580,688,388,684,670,758,940,173,072,188,960,585,075,266,769,747,672,487,770,
679,404,245,161,778,512,061,273,294,696,563,785,759,794,491,546,552,032,272,
732,321,017,072,197,089,878,105,619,495,929,144,336,245,607,331,982,067,405,
251,801,291,146,256,475,845,421,415,650,363,762,736,544,130,985,852,627,045,
006,520,124,792,914,746,052,814,283,042,500,168,990,173,989,630,267,352,615,
089,905,656,812,870,246,159,417,472,053,310,666,530,953,650,774,883,381,613,
001,258,859,319,443,244,702,440,693,417,778,456,239,978,465,689,610,257,026,
638,970,563,536,192,502,601,352,016,627,166,893,046,623,908,393,254,464,257,
798,479,958,997,955,002,461,889,782,561,722,967,082,660,903,030,709,980,165,
399,254,125,732,794,557,188,725,047,500,181,674,578,232,416,444,610,630,671,
078,556,346,007,370,948,560,360,638,953,191,663,534,718,629,722,081,595,001,
520,853,457,142,013,318,141,949,791,554,182,784,413,455,579,892,016,973,261,
259,031,613,661,052,066,982,476,123,889,217,416,513,882,122,019,208,117,115,
429,025,643,740,715,904,047,646,941,895,547,678,344,920,843,011,307,372,758,
514,557,008,738,976,352,811,881,507,375,020,069,694,183,269,362,453,199,262,
808,953,171,164,818,102,750,121,196,997,177,262,964,832,516,353,302,600,624,
158,494,838,796,309,115,626,950,324,138,271,074,733,115,071,283,481,022,689,
691,184,986,360,322,406,397,117,715,729,024,403,964,421,345,992,233,029,969,
150,291,088,755,961,023,418,767,496,322,504,719,952,694,371,947,034,108,774,
814,662,588,860,264,759,910,855,290,145,367,177,139,521,367,060,041,972,907,
344,310,485,820,939,913,734,082,276,210,507,372,357,642,511,312,335,048,486,
790,338,075,295,240,774,334,142,208,368,131,348,569,663,222,677,269,993,014,
098,760,110,560,585,881,807,669,582,038,676,463,090,062,444,826,745,724,702,
342,290,676,873,905,192,881,500,014,409,465,516,868,351,002,922,839,902,332,
896,406,368,082,140,623,911,934,656,822,363,407,419,602,124,429,343,971,643,
100,459,806,760,027,014,466,890,572,240,350,568,309,662,873,548,409,444,719,
299,780,785,502,813,181,091,574,767,204,226,540,535,444,494,452,298,077,010,
593,372,760,874,568,075,968,629,808,713,194,498,175,099,496,988,208,349,425,
877,431,963,531,899,715,813,372,157,512,841,302,691,997,750,498,394,963,690,
155,305,249,694,110,883,028,172,743,360,663,076,014,180,331,069,798,506,035,
716,890,455,676,290,561,120,321,754,392,506,249,173,422,858,515,915,094,613,
265,019,738,639,322,996,346,176,333,331,917,098,352,578,878,569,666,776,319,
056,254,368,798,540,343,665,392,490,828,787,418,841,024,980,752,063,904,040,
990,123,367,076,822,979,851,816,585,745,925,772,067,875,117,142,617,073,036,
958,646,060,914,796,701,328,319,477,251,857,434,896,437,564,968,838,067,089,
290,301,703,514,199,299,490,867,405,236,163,023,878,431,395,235,298,181,053,
181,133,106,021,812,616,246,247,480,695,315,588,680,520,034,907,311,518,383,
891,483,362,137,605,841,069,239,687,327,848,989,564,046,730,169,469,195,451,
632,784,436,029,072,868,927,572,981,058,108,129,442,170,215,788,939,301,416,
335,366,606,808,396,103,427,998,438,410,269,059,623,563,665,395,367,362,540,
951,499,890,976,193,801,700,383,629,432,095,732,469,702,640,212,138,426,787,
880,645,148,079,006,919,592,558,875,695,094,467,533,730,027,043,497,736,138,
506,744,474,232,862,595,172,680,426,574,652,686,670,948,913,911,716,942,712,
000,439,896,813,343,362,144,393,333,153,872,120,354,232,739,850,789,756,601,
064,101,634,168,759,398,776,000,327,235,176,083,239,440,342,524,100,607,328,
980,231,425,010,020,149,138,298,600,420,689,667,099,317,794,422,943,845,875,
690,501,121,352,710,922,283,424,268,784,434,573,013,912,630,860,491,432,524,
879,885,738,808,558,641,325,210,433,477,916,134,933,715,103,219,800,944,793,
776,798,664,416,254,754,970,245,214,376,792,345,023,900,233,646,772,460,963,
084,185,551,549,972,352,239,525,560,631,586,913,390,196,596,632,595,160,933,
521,245,126,069,332,537,997,437,099,921,259,189,781,189,326,406,698,873,563,
366,181,179,225,737,935,236,200,333,374,386,995,914,202,305,618,010,081,717,
156,173,773,384,872,933,592,713,840,685,259,744,828,615,958,329,287,610,334,
397,537,616,008,838,193,125,374,325,881,090,893,364,845,509,795,890,822,098,
588,817,654,703,279,606,620,490,430,786,527,745,170,556,171,301,593,664,728,
610,082,682,904,203,184,569,500,046,590,031,091,319,488,199,028,650,814,366,
671,204,141,606,551,114,327,587,034,991,856,366,289,235,478,215,979,511,654,
445,477,572,351,255,057,046,133,177,093,019,772,802,339,280,267,651,419,358,
830,559,770,914,368,979,962,936,774,471,520,874,888,361,037,036,560,613,563,
913,986,902,093,030,542,831,130,846,495,246,851,757,511,857,505,554,460,739,
900,730,447,509,966,565,073,104,149,721,920,870,457,482,647,615,164,443,094,
233,918,219,856,728,167,592,360,802,478,033,939,227,401,742,062,769,174,168,
731,622,864,522,043,416,914,770,441,913,987,412,732,289,563,216,920,643,169,
478,266,649,118,968,051,302,170,355,475,002,263,546,598,449,355,625,606,727,
658,989,199,257,237,338,292,217,062,260,340,865,421,791,175,410,385,182,019,
991,016,518,273,412,302,464,457,281,487,104,068,217,899,652,139,842,119,038,
868,719,478,651,417,602,972,455,807,547,683,929,040,090,406,531,423,176,577,
278,964,239,946,753,932,975,105,976,206,026,375,282,728,192,497,186,339,130,
920,218,416,808,716,205,257,501,193,595,924,055,278,642,093,042,187,507,076,
974,392,192,894,877,910,045,759,606,613,500,723,197,828,973,452,516,177,662,
731,924,876,697,513,539,270,530,820,254,892,525,770,163,667,773,056,902,796,
275,301,707,314,208,300,074,409,306,566,614,218,947,518,347,825,727,947,947,
307,825,324,041,311,531,828,096,545,894,584,202,052,695,490,672,922,966,889,
064,638,011,890,124,933,419,778,260,506,465,271,145,190,093,245,659,860,226,
742,517,088,984,589,204,531,585,156,225,825,091,373,750,090,603,038,933,383,
434,712,022,479,941,712,252,112,413,754,254,020,343,822,367,617,959,005,491,
877,825,172,610,801,141,276,739,188,643,404,400,023,798,907,895,073,179,274,
147,791,591,212,084,825,970,335,009,854,676,376,139,124,241,095,854,354,993,
036,693,859,342,917,394,870,214,853,048,549,976,156,122,756,524,628,242,029,
035,049,148,730,604,428,074,320,813,084,229,328,885,585,744,884,842,587,883,
257,974,572,907,116,246,243,417,180,727,895,812,540,807,160,235,217,254,925,
888,219,597,744,542,733,544,396,852,214,810,143,501,078,673,364,776,570,572,
828,007,205,087,932,792,154,295,428,389,432,743,286,150,961,134,019,576,298,
087,707,691,370,872,825,077,109,597,350,999,825,721,054,336,689,262,319,197,
579,754,525,245,376,081,064,351,384,108,553,172,104,594,073,783,136,983,464,
182,408,290,535,756,974,080,151,722,558,428,601,178,300,400,643,656,277,146,
336,726,678,484,406,940,363,243,275,281,629,533,951,079,370,683,573,358,850,
175,654,877,797,800,981,693,660,792,896,126,619,230,005,424,630,570,001,505,
177,185,017,404,694,021,061,370,428,479,679,458,184,666,446,863,098,391,609,
176,543,250,432,703,686,622,239,896,905,067,622,770,638,511,562,619,807,389,
893,983,162,034,864,393,208,932,860,217,725,369,259,208,588,867,345,400,304,
761,657,369,834,102,802,890,380,016,173,862,720,302,417,535,577,408,612,669,
237,004,819,264,743,175,828,349,948,383,132,570,498,631,745,231,174,882,221,
783,761,285,810,081,481,297,943,572,824,836,347,734,042,216,471,341,257,387,
914,571,918,957,705,660,690,437,777,590,881,748,404,077,943,399,761,799,630,
549,851,505,894,279,040,593,755,502,477,968,541,155,279,902,678,720,727,989,
610,226,281,147,784,019,297,778,108,403,436,055,246,526,460,295,016,812,731,
649,247,290,933,439,959,476,856,856,157,666,486,448,890,837,798,271,159,667,
593,296,460,824,287,024,940,092,828,668,800,309,927,378,162,201,073,309,344,
327,483,625,375,306,249,351,346,754,329,667,288,547,440,002,076,432,845,654,
915,350,929,661,469,711,181,773,028,222,851,194,836,733,350,781,657,534,963,
597,959,046,606,880,288,186,557,437,345,920,118,875,417,092,256,296,603,172,
232,089,062,804,778,838,246,670,884,360,872,669,717,522,876,146,020,294,905,
636,825,366,072,804,186,286,836,449,677,827,380,692,863,299,728,916,631,395,
238,660,912,571,979,186,709,201,318,264,513,378,308,076,455,416,272,931,852,
098,519,410,274,642,340,771,696,801,945,139,373,351,786,237,637,620,650,867,
842,828,345,626,772,374,750,664,496,239,721,016,346,698,977,470,215,339,070,
875,356,525,486,283,920,968,679,782,268,691,915,589,762,500,250,734,199,090,
771,236,125,998,796,500,178,438,862,839,796,817,179,644,167,494,912,970,699,
063,166,920,909,079,433,587,414,597,074,918,338,664,746,669,721,182,486,852,
044,981,795,046,891,019,229,818,042,876,524,068,077,407,402,139,180,220,631,
312,014,851,414,821,493,975,482,137,112,595,924,605,616,131,553,377,994,922,
025,925,656,458,627,934,308,514,950,986,748,643,450,562,431,933,031,677,222,
849,517,051,289,180,710,536,411,555,551,284,760,973,799,772,221,918,459,382,
270,046,883,154,176,725,570,571,861,878,079,753,324,451,292,797,140,535,865,
714,265,922,125,453,014,550,406,371,546,898,988,363,502,451,062,339,785,071,
640,013,112,961,656,114,574,648,936,601,368,615,159,990,625,293,723,618,036,
158,813,191,855,431,584,919,653,378,300,499,696,269,731,410,547,749,600,629,
374,332,323,891,608,578,830,078,011,390,398,480,860,014,416,192,459,461,430,
857,914,822,404,772,616,242,366,079,252,136,726,094,317,057,872,978,677,270,
589,737,164,442,324,254,755,384,745,619,290,280,168,684,984,841,485,168,482,
400,534,222,544,799,322,658,673,017,864,694,083,495,937,067,746,613,827,887,
231,555,453,859,343,001,892,818,643,852,332,332,351,068,959,600,284,902,660,
924,325,560,985,693,211,126,100,148,270,168,403,020,303,369,050,563,405,902,
381,333,232,746,894,964,699,589,517,024,701,494,265,032,497,574,055,363,304,
700,106,427,396,698,235,558,622,262,136,287,305,593,949,603,146,943,074,801,
291,779,065,734,939,944,609,055,647,429,250,208,473,046,551,513,519,477,028,
295,964,533,461,035,409,572,216,450,890,107,758,711,746,107,381,795,194,245,
251,071,070,691,408,247,097,018,166,198,999,244,280,472,568,864,072,646,972,
699,293,766,626,237,611,750,025,564,607,759,537,984,643,762,249,323,847,959,
329,098,837,270,965,308,072,489,042,330,015,718,288,707,307,199,901,508,786,
788,856,693,043,060,152,149,211,309,389,030,265,845,571,838,762,853,743,611,
793,728,875,838,172,048,183,814,776,724,486,508,027,131,568,108,876,153,946,
536,447,393,762,054,975,081,488,988,294,182,138,914,423,787,997,136,848,991,
045,869,333,782,589,468,622,225,303,595,595,998,446,756,579,404,931,975,332,
526,407,207,203,958,332,510,028,311,314,994,349,750,743,742,598,290,165,156,
578,038,444,368,579,721,007,569,801,141,240,251,256,227,844,302,405,209,217,
449,593,448,267,434,642,268,128,281,641,946,224,225,163,497,859,631,916,731,
725,672,329,130,824,288,795,235,136,042,275,515,774,526,280,941,229,195,840,
162,714,898,677,218,670,818,582,670,179,670,550,801,253,523,165,069,736,244,
937,770,200,759,444,400,304,072,321,972,780,852,412,420,930,522,738,817,245,
909,308,987,948,703,774,534,937,582,793,305,178,796,290,676,890,339,048,542,
751,461,780,041,045,196,972,075,368,125,235,301,072,640,514,629,972,091,194,
554,121,959,908,251,495,970,683,838,809,946,539,942,783,265,071,572,515,038,
100,684,622,792,697,595,114,370,660,873,117,084,379,446,432,861,261,334,307,
629,717,829,219,017,206,953,437,178,131,469,728,285,856,098,601,063,121,593,
130,147,568,838,351,799,464,803,935,245,287,642,652,330,081,860,565,735,841,
126,538,413,829,551,675,934,694,291,023,904,349,517,084,566,383,149,424,832,
640,812,556,680,541,525,425,240,566,851,350,245,091,799,284,097,977,047,502,
738,973,950,690,858,297,093,188,299,450,595,682,606,555,672,110,343,903,856,
473,579,636,506,238,040,176,475,515,816,803,907,661,919,153,901,347,192,097,
245,350,510,903,104,333,884,855,731,030,625,741,260,272,444,215,440,635,741,
485,615,309,315,105,368,880,867,182,943,806,184,389,994,573,368,472,156,110,
706,413,437,213,416,883,284,042,744,627,280,320,081,515,488,089,103,468,338,
978,811,657,016,158,214,926,209,397,901,091,332,285,429,339,381,218,040,915,
359,532,175,374,445,458,579,663,999,607,444,171,633,326,608,391,832,188,532,
542,937,417,446,221,982,970,756,558,628,131,325,157,288,485,353,333,399,167,
485,373,455,215,707,976,634,404,336,897,956,210,334,944,050,545,435,486,145,
992,033,795,042,224,400,855,999,442,767,172,765,481,620,413,384,199,722,856,
146,158,659,606,077,121,376,502,373,578,756,188,243,606,815,757,348,749,868,
876,601,272,392,176,899,719,352,219,432,763,622,629,294,532,461,355,664,003,
145,414,430,514,479,667,618,906,513,365,007,035,034,985,712,143,362,922,408,
004,017,891,764,800,132,660,176,038,202,601,301,075,338,782,329,836,835,967,
427,189,011,597,866,820,458,573,440,028,617,173,881,527,736,356,415,253,362,
661,649,282,128,556,709,287,200,585,427,263,200,446,446,361,731,271,607,010,
922,711,762,853,075,837,864,706,037,084,574,536,392,627,308,801,256,213,591,
885,413,288,784,372,708,188,243,795,383,407,913,111,606,280,404,597,550,739,
345,912,667,601,997,015,683,702,503,485,471,417,375,534,778,064,845,995,005,
260,864,932,398,216,061,607,092,443,305,317,103,772,417,882,022,451,225,210,
282,298,380,244,127,618,935,547,723,425,277,333,237,001,862,971,830,064,262,
688,271,703,484,452,916,083,624,241,835,579,979,936,396,626,840,156,013,754,
243,532,901,820,137,616,806,204,372,386,137,995,573,569,540,497,896,975,747,
011,542,584,075,938,500,448,529,963,914,786,005,992,500,141,655,510,696,771,
031,579,826,014,875,525,424,872,084,436,023,449,161,432,503,622,933,317,352,
217,472,911,307,845,625,644,770,970,573,893,357,875,962,967,912,210,560,792,
707,302,105,758,146,311,983,737,876,556,004,461,096,781,303,957,888,939,108,
682,164,343,864,913,586,456,870,430,089,376,041,675,751,249,310,002,619,256,
463,393,718,428,115,522,091,491,368,361,259,869,939,638,984,730,265,723,991,
557,906,468,512,155,002,885,018,600,666,579,428,925,437,854,105,789,078,964,
130,371,291,314,933,670,286,154,761,552,369,906,377,256,228,644,779,606,646,
534,872,043,276,832,053,734,806,358,927,576,943,746,086,999,171,497,568,610,
183,183,560,222,968,336,793,615,021,276,857,311,590,294,629,846,260,996,221,
325,323,140,487,727,321,231,620,535,474,936,289,105,221,879,729,625,464,678,
619,704,475,752,290,571,305,611,913,379,397,565,604,124,693,892,199,328,624,
804,108,613,112,420,501,291,004,225,489,637,309,388,992,373,975,163,286,985,
982,756,270,448,540,046,305,189,799,994,765,572,185,127,706,283,431,321,880,
623,271,514,494,614,351,087,963,807,629,658,865,147,805,173,818,000,630,081,
042,636,936,954,038,179,349,979,703,696,046,838,104,423,276,210,429,061,309,
807,481,872,746,027,738,255,636,087,267,270,386,165,428,420,964,638,399,628,
667,279,000,087,059,266,880,978,916,102,266,896,796,151,917,748,801,547,250,
026,917,095,487,317,061,153,817,521,518,676,050,220,763,830,676,579,718,275,
460,349,632,316,402,632,916,851,789,752,530,294,012,646,819,659,639,639,279,
757,157,024,822,567,383,997,320,012,966,783,049,816,519,201,050,898,792,856,
286,404,541,761,274,413,116,522,415,548,588,657,736,746,651,072,238,061,615,
313,985,064,256,062,068,467,616,948,584,427,930,474,658,499,160,148,710,049,
640,696,401,466,000,935,056,675,326,425,226,528,976,744,292,623,561,105,260,
129,287,997,868,610,167,262,054,160,070,369,860,307,443,456,092,902,802,619,
710,003,561,826,344,673,925,089,856,065,166,563,765,416,599,176,179,031,583,
997,340,009,756,147,041,556,426,997,344,487,020,785,203,366,183,951,432,683,
769,631,534,312,440,650,296,734,626,405,522,732,434,729,240,765,661,060,319,
271,225,805,715,883,236,578,013,404,626,378,240,118,646,507,562,757,782,015,
028,725,650,392,903,658,489,662,674,237,101,606,440,856,411,454,084,145,514,
534,886,202,451,952,554,111,823,540,786,173,003,719,127,204,971,947,018,872,
525,318,052,104,010,810,299,507,790,606,507,665,959,080,828,444,114,553,820,
250,777,817,965,434,020,089,024,600,844,077,109,977,579,592,880,757,392,463,
237,104,267,102,818,974,167,536,817,851,739,852,051,091,583,907,433,339,255,
897,677,251,752,218,439,560,669,023,115,595,610,275,331,339,221,945,620,766,
551,029,257,304,770,007,682,352,170,939,531,503,714,406,790,354,206,837,703,
409,945,060,534,830,560,463,282,539,120,421,962,795,483,513,353,091,080,239,
913,550,940,527,103,657,800,933,733,799,299,030,978,405,752,978,400,743,946,
831,874,811,197,012,150,614,926,139,280,464,971,571,810,794,054,789,203,627,
561,957,688,785,760,660,823,431,895,099,169,571,866,913,161,976,186,206,976,
766,401,412,759,520,602,021,315,309,556,867,635,646,636,633,490,892,000,896,
216,962,498,281,727,048,752,395,984,083,589,308,695,549,237,893,159,445,533,
496,083,049,470,881,732,091,987,697,735,735,627,475,147,205,839,617,163,580,
083,582,487,699,031,605,408,076,939,349,735,349,195,645,872,026,758,634,394,
233,567,826,005,043,431,961,656,525,057,230,615,881,539,340,954,976,863,279,
076,711,476,064,944,060,367,100,271,770,143,258,740,317,387,753,704,739,691,
139,847,454,285,031,790,264,822,166,089,458,407,203,651,927,211,878,202,940,
193,497,780,446,538,205,213,629,187,323,960,854,657,931,062,086,479,118,927,
650,934,347,712,111,079,912,400,077,936,550,381,359,599,779,557,097,504,519,
638,668,481,387,400,992,318,447,113,646,312,248,095,570,144,290,097,912,073,
457,768,158,781,476,652,542,325,356,041,262,743,913,899,409,501,204,388,881,
946,612,562,456,209,834,431,840,104,153,269,889,567,830,358,763,908,464,478,
294,698,148,708,661,187,442,208,209,007,873,598,903,906,062,443,890,300,141,
711,738,127,115,189,679,875,873,134,014,530,255,186,831,003,954,586,240,340,
864,390,928,881,611,633,441,351,058,390,034,635,166,534,434,304,694,335,449,
355,182,873,007,793,478,850,705,107,251,756,124,960,108,999,523,597,954,782,
385,298,874,492,664,389,838,187,859,785,821,713,883,667,898,932,175,283,811,
653,121,128,397,479,426,000,923,918,684,745,553,058,051,989,495,684,848,326,
673,377,322,032,358,680,629,670,173,168,261,975,503,853,995,334,392,436,916,
735,657,789,278,092,666,443,132,767,485,097,402,402,145,734,305,341,351,851,
966,354,865,943,490,993,090,861,854,190,802,584,209,383,175,943,776,703,575,
430,082,696,117,737,963,273,290,620,495,707,790,839,221,847,205,593,485,661,
803,440,972,825,389,670,472,481,313,167,131,203,333,426,138,336,319,292,653,
691,265,231,635,447,084,634,695,612,475,348,203,372,242,942,639,031,836,152,
355,352,826,275,330,361,115,605,476,726,797,361,729,886,742,606,520,236,524,
249,123,736,373,588,827,727,931,471,235,525,624,248,406,864,350,471,871,334,
287,564,208,420,949,643,123,904,426,277,239,155,128,276,510,683,757,726,098,
878,359,623,210,903,443,519,709,325,271,652,818,537,836,354,717,994,451,810,
552,398,911,835,607,021,761,793,832,439,969,925,458,566,792,787,995,176,526,
677,460,876,757,334,480,932,564,650,047,532,201,872,568,468,306,308,572,128,
501,766,390,622,093,799,534,253,538,460,532,712,494,817,726,922,674,320,891,
869,846,497,452,410,115,551,439,159,305,413,462,681,142,166,301,004,384,327,
813,009,426,394,336,063,129,080,651,997,991,014,666,744,572,534,275,258,342,
052,666,298,536,153,916,633,423,562,483,568,197,982,053,620,985,461,118,409,
104,758,454,476,259,729,659,221,453,128,540,504,513,081,323,492,359,427,602,
023,418,558,514,619,951,452,508,126,874,655,925,610,069,113,753,075,758,969,
566,965,656,800,210,539,904,448,670,599,971,984,871,252,061,037,698,402,639,
560,647,016,326,800,368,840,586,648,573,798,358,830,069,316,574,585,130,768,
587,344,938,506,063,224,825,475,049,413,718,545,256,674,640,878,723,711,373,
990,314,506,115,533,050,764,099,404,205,725,056,145,564,085,532,934,835,036,
873,418,220,498,254,136,191,116,308,530,070,406,372,380,444,543,574,120,482,
813,871,704,326,999,140,161,677,889,563,066,125,137,096,848,573,691,293,617,
821,572,998,347,171,521,578,808,075,018,749,185,705,644,941,266,920,852,167,
053,114,412,725,788,249,289,581,802,434,587,242,631,861,938,149,663,615,726,
555,795,465,231,346,230,506,124,462,529,625,399,464,573,826,217,795,961,239,
039,369,406,744,519,601,826,424,275,234,889,342,489,375,235,309,237,678,729,
177,632,340,350,645,582,916,742,411,751,836,362,216,497,601,060,297,072,125,
113,559,055,291,635,561,438,087,985,289,777,838,208,895,445,743,291,085,213,
220,751,510,025,249,858,239,735,643,372,708,789,387,183,782,452,950,459,929,
621,744,833,780,004,705,188,867,469,696,583,443,175,007,484,109,466,735,339,
346,583,410,106,990,353,576,570,889,535,937,328,753,302,790,782,574,747,933,
734,206,004,999,591,243,495,738,490,875,976,401,917,257,740,834,822,198,873,
308,754,606,329,502,713,418,663,623,576,715,460,277,613,325,040,336,852,692,
075,851,246,443,832,095,903,709,585,354,436,354,312,160,335,916,708,662,928,
403,940,847,411,411,970,957,470,118,806,070,933,821,218,701,923,565,326,103,
271,385,277,780,398,802,771,949,152,212,865,096,144,402,011,749,305,944,848,
237,153,628,861,786,739,166,022,740,664,262,412,306,314,044,878,714,708,215,
822,742,674,112,057,398,225,069,353,241,175,878,603,070,189,681,411,410,041,
528,749,620,558,994,428,132,919,841,459,972,406,171,762,640,516,908,388,358,
489,977,914,887,573,667,975,877,892,393,115,682,085,015,627,131,678,258,994,
927,056,589,958,070,923,747,422,928,308,194,813,480,661,637,290,918,364,704,
944,902,049,567,291,931,478,624,446,678,110,858,811,529,079,282,400,485,119,
410,854,344,642,208,867,890,156,284,488,179,339,344,106,477,831,594,584,420,
047,239,718,962,179,253,682,397,495,741,440,265,159,098,495,101,634,026,036,
308,277,464,631,709,470,144,505,472,429,859,460,657,228,383,943,037,118,604,
357,066,780,355,420,422,356,693,945,900,845,383,018,144,880,925,729,206,307,
911,200,425,474,089,465,785,018,815,757,977,095,521,041,504,597,800,708,761,
311,166,490,154,249,058,503,262,275,257,790,180,554,959,711,454,094,424,808,
009,129,508,551,104,478,536,900,958,178,384,899,289,274,378,236,208,188,852,
863,749,954,370,628,801,808,652,901,921,943,874,095,135,008,541,362,760,608,
795,581,575,934,017,959,504,783,306,653,876,158,868,206,448,059,602,709,396,
310,862,681,779,899,264,094,622,748,143,718,715,282,748,792,066,879,508,371,
908,089,025,383,178,250,651,453,928,874,231,426,317,748,253,485,890,779,235,
650,009,584,261,810,087,958,365,615,996,106,957,982,387,893,092,363,964,789,
458,471,197,525,560,730,009,145,260,969,151,155,989,623,389,583,509,796,400,
771,064,255,380,861,245,168,186,669,279,626,963,180,584,338,991,368,672,067,
026,714,470,612,404,743,690,883,252,420,596,630,814,958,942,525,578,979,544,
318,528,403,546,489,954,706,417,986,572,984,603,887,987,771,119,706,248,663,
694,521,007,909,341,829,747,062,027,290,237,479,082,468,958,646,350,296,504,
137,385,753,405,889,117,066,153,273,576,281,645,551,285,190,240,230,384,674,
317,386,698,917,950,586,302,288,774,893,564,207,993,878,681,949,291,455,733,
688,572,343,501,085,410,004,221,764,993,385,860,606,275,867,285,741,108,051,
097,329,538,356,567,419,677,140,088,824,046,282,441,274,720,928,102,255,721,
053,713,873,249,696,728,495,066,089,643,919,943,777,638,275,247,252,234,288,
161,412,811,954,074,407,029,915,877,846,467,944,721,799,997,734,233,192,521,
312,560,593,696,933,107,183,353,130,651,293,944,914,698,103,738,990,147,354,
439,835,108,713,272,210,262,707,476,811,901,319,463,300,904,155,650,893,094,
172,128,597,124,618,240,435,988,125,740,758,539,138,469,426,375,887,337,625,
036,374,782,368,961,219,158,390,283,173,085,488,621,699,844,497,694,477,040,
547,984,399,598,190,921,425,625,187,946,855,941,626,629,393,608,784,759,135,
242,323,792,447,925,037,700,788,766,806,102,741,178,786,725,762,576,970,279,
306,581,297,854,507,329,640,512,128,984,866,769,732,659,998,808,893,885,626,
582,643,160,598,194,532,453,648,867,666,203,708,121,012,030,794,467,772,309,
649,796,780,451,877,765,283,039,676,241,781,543,843,820,354,427,501,699,535,
409,488,575,489,635,116,507,812,778,205,246,281,049,016,199,929,460,181,538,
735,192,084,882,684,968,313,931,837,245,569,972,311,641,511,477,658,401,391,
479,834,228,375,719,087,546,021,635,757,665,611,446,108,532,165,643,444,511,
678,724,181,378,431,434,343,598,288,576,756,662,182,721,602,211,692,759,568,
794,958,681,876,941,221,427,681,072,049,116,813,438,409,153,481,367,335,209,
500,065,679,503,397,416,152,007,614,587,280,803,319,284,812,844,200,531,238,
646,647,108,910,691,337,831,296,760,487,476,265,319,744,703,039,825,218,947,
353,595,795,585,636,833,220,142,335,692,414,821,942,191,339,356,901,905,281,
997,818,048,911,830,844,447,887,419,223,884,685,109,359,398,145,921,364,512,
899,231,908,512,868,510,344,981,396,957,196,279,078,862,230,038,742,273,790,
013,114,824,167,135,710,639,779,378,853,211,642,367,804,821,436,179,773,714,
479,404,829,403,904,161,903,751,731,124,932,953,813,759,677,357,313,344,767,
096,322,461,175,816,137,277,056,721,261,833,292,540,112,402,980,999,166,040,
857,013,197,485,617,432,092,606,782,123,654,653,559,241,712,403,355,629,662,
664,329,129,077,266,099,206,183,673,062,419,316,938,422,378,190,238,125,882,
273,977,807,639,619,993,839,827,740,532,571,815,846,821,844,108,133,995,432,
381,487,804,266,490,034,223,070,167,607,575,330,093,221,943,897,639,451,298,
216,367,600,340,760,199,490,795,891,339,464,903,376,859,830,212,692,809,224,
050,614,277,593,534,912,300,735,969,707,125,044,210,174,198,005,012,993,495,
078,995,770,707,363,382,194,179,175,961,200,687,793,126,193,887,711,775,886,
331,002,164,096,545,768,949,965,903,727,729,092,644,732,222,639,522,541,409,
603,364,052,698,696,838,157,362,428,438,503,356,826,146,835,687,243,654,577,
822,728,366,207,803,554,214,838,189,702,639,783,132,311,558,196,161,245,943,
656,957,843,803,289,914,772,686,173,776,198,880,449,333,268,132,164,092,736,
061,069,801,035,865,319,815,246,964,855,208,567,691,047,704,759,559,607,748,
657,093,378,472,777,150,976,575,494,792,087,308,831,764,661,843,493,988,290,
799,121,981,881,547,934,861,103,100,121,686,974,897,708,753,929,755,787,074,
821,341,546,247,610,035,934,768,478,392,800,618,517,532,118,398,403,299,771,
195,312,164,107,502,396,602,350,929,977,130,602,216,396,368,119,856,339,911,
092,393,226,998,142,464,997,223,280,454,914,258,527,869,883,188,099,030,248,
634,728,583,106,669,997,694,646,862,246,400,984,867,801,751,337,987,266,793,
001,288,275,358,135,715,964,121,782,117,038,078,470,878,664,705,557,498,632,
237,999,071,762,447,427,123,513,573,903,185,995,481,238,487,830,283,176,582,
367,032,623,042,152,183,977,828,518,790,114,679,342,619,529,311,614,307,160,
084,058,636,102,007,142,784,718,775,196,618,664,203,028,611,435,937,160,360,
034,839,719,987,362,222,319,057,130,899,516,088,125,600,017,275,710,596,036,
487,652,673,498,706,815,436,347,578,040,133,999,963,940,672,562,488,025,080,
165,352,963,893,710,324,328,488,923,332,073,850,932,831,472,566,042,630,253,
965,620,094,528,584,872,208,720,306,518,248,792,057,364,346,540,183,365,990,
870,312,041,855,127,472,911,465,306,722,899,013,400,687,053,122,751,322,096,
332,313,707,848,137,111,500,476,260,798,548,962,813,565,969,193,491,919,371,
823,504,981,405,456,803,934,313,636,664,192,309,732,085,349,596,487,678,617,
779,778,697,712,962,302,775,853,364,914,005,938,786,139,399,565,161,713,299,
960,010,825,606,627,436,383,327,901,057,751,734,053,067,253,973,992,925,516,
818,514,565,984,785,774,088,209,326,603,119,845,508,886,987,044,318,579,995,
766,528,849,126,732,923,830,002,076,704,966,653,603,774,868,304,167,410,452,
967,269,987,133,486,741,530,959,467,251,557,754,371,789,361,542,552,687,150,
634,528,756,196,745,560,008,223,013,883,942,787,863,891,201,545,818,864,105,
868,923,707,290,618,627,717,660,698,690,719,866,779,481,454,440,949,633,244,
819,827,571,129,606,745,095,217,418,394,031,509,920,880,753,532,749,432,047,
905,222,502,475,109,828,619,519,893,616,803,736,887,452,738,226,162,377,552,
779,946,280,801,426,912,475,840,055,521,628,189,071,315,497,934,306,569,203,
601,233,073,879,075,794,111,134,779,754,531,756,557,816,029,013,997,068,399,
041,243,192,815,398,286,396,973,274,311,086,226,129,076,137,471,444,952,312,
057,859,921,372,002,989,923,873,533,848,780,078,831,545,713,013,306,461,728,
185,718,315,744,467,823,728,337,970,746,904,498,918,098,434,747,401,587,795,
262,836,214,690,352,602,077,990,053,921,759,788,668,689,500,927,768,053,617,
745,655,539,975,979,381,278,586,688,868,928,871,417,606,770,839,313,854,489,
938,832,759,166,474,183,792,689,275,939,392,755,402,486,430,166,437,761,480,
539,194,089,609,888,705,462,088,711,864,025,558,195,467,834,180,097,981,141,
303,723,204,853,593,238,409,482,315,034,348,573,308,471,906,492,479,160,925,
997,170,695,108,373,453,048,319,792,289,042,732,760,454,565,398,350,415,055,
401,176,158,582,289,401,977,992,670,934,017,457,528,925,931,195,177,777,104,
696,890,452,660,161,749,321,520,111,465,179,190,624,201,024,024,472,078,703,
650,985,130,000,513,001,136,941,819,397,047,894,248,115,950,110,990,575,914,
733,265,662,863,200,277,435,203,713,568,579,492,438,687,727,525,627,438,353,
845,125,025,974,419,883,091,024,150,084,489,608,906,674,185,756,658,505,938,
491,011,113,869,585,838,961,119,758,737,623,056,318,208,607,447,236,373,699,
321,535,500,093,528,504,020,577,733,251,921,615,228,090,358,604,147,842,026,
905,690,260,759,934,229,087,385,713,588,418,562,575,962,342,924,562,600,123,
739,986,900,140,497,929,533,407,639,857,642,871,433,681,384,168,496,662,091,
053,917,564,896,450,037,658,906,758,240,034,575,165,926,505,055,743,387,364,
747,309,050,018,112,809,665,250,727,938,048,981,355,557,346,273,356,004,743,
675,613,860,215,734,126,429,296,673,204,115,433,413,730,509,693,758,680,194,
118,004,323,382,368,745,700,472,998,832,951,275,468,375,347,267,254,620,581,
864,834,051,401,296,366,218,138,358,442,707,351,437,140,249,681,804,691,550,
767,385,780,171,302,596,570,040,171,563,906,282,118,813,294,707,438,180,984,
219,364,723,775,245,322,202,279,615,158,933,262,749,364,526,181,392,095,515,
571,305,615,836,002,103,733,496,029,883,922,664,364,903,013,718,018,365,060,
964,424,914,463,983,642,533,801,805,286,152,486,731,930,465,917,442,886,508,
001,151,976,936,078,990,243,488,536,469,988,640,173,299,898,782,487,571,797,
873,655,987,981,150,561,140,375,112,875,140,216,815,700,015,710,253,360,883,
336,813,110,688,574,251,383,632,193,299,532,721,048,491,135,303,999,157,666,
394,683,540,644,238,934,208,685,007,825,285,872,927,793,231,381,054,923,622,
093,892,122,168,945,524,396,275,876,602,319,571,340,312,964,864,638,862,244,
718,184,957,673,563,072,612,479,978,552,129,855,316,526,348,628,934,096,490,
832,988,407,519,804,239,635,991,716,555,071,484,568,350,901,239,350,948,509,
392,404,148,288,223,777,272,478,277,485,167,407,534,684,135,487,755,463,858,
983,399,795,432,600,811,228,065,460,226,992,460,498,999,192,265,266,447,718,
901,837,721,756,039,873,648,166,023,668,360,664,937,957,785,524,509,555,295,
134,952,635,886,721,689,866,048,815,674,998,893,808,768,602,543,184,278,337,
863,853,813,594,796,696,198,079,088,745,716,206,274,577,042,418,368,561,140,
889,355,983,921,729,262,560,491,081,961,787,728,457,287,126,903,486,870,777,
494,854,654,735,633,501,827,067,049,027,661,770,858,238,235,735,143,345,766,
120,114,444,575,775,588,345,459,697,132,726,526,255,967,660,955,890,549,399,
920,024,853,531,465,026,031,484,948,626,387,790,318,652,029,142,197,058,670,
711,024,009,811,823,460,238,150,540,168,717,426,799,454,368,316,819,616,710,
718,156,316,097,930,508,906,976,336,023,068,154,394,214,360,996,330,402,018,
788,387,477,550,389,092,770,353,985,459,618,887,914,663,516,049,078,442,901,
871,465,847,160,114,945,143,219,444,306,071,095,043,969,510,220,262,311,655,
453,409,608,682,735,392,795,545,337,612,017,801,243,411,978,630,108,195,484,
998,016,807,328,431,096,166,026,146,619,733,674,413,039,153,568,451,292,303,
973,842,061,853,490,353,244,945,432,210,978,251,828,358,965,103,970,872,525,
363,478,739,243,948,547,213,913,057,731,528,523,986,414,313,129,452,764,469,
012,239,031,096,105,157,787,307,272,315,997,920,440,329,407,781,764,462,803,
806,772,753,256,789,382,484,109,599,679,674,879,019,846,163,500,409,847,260,
109,276,850,516,626,018,244,063,946,920,792,649,965,162,216,199,844,291,638,
568,382,061,179,052,013,627,102,373,390,012,752,973,776,803,706,166,858,370,
308,831,250,842,402,235,148,384,605,330,517,142,150,720,734,574,625,426,412,
425,253,663,074,981,279,834,852,938,926,360,708,996,342,803,560,250,540,083,
190,339,887,050,348,199,845,297,573,107,896,355,596,971,588,434,363,903,678,
258,665,941,762,985,263,690,917,501,175,565,866,958,105,643,526,247,876,210,
469,659,585,973,484,658,742,789,189,761,287,927,190,413,727,475,926,097,894,
363,391,950,847,619,190,719,357,963,193,116,870,949,330,391,805,429,610,987,
383,428,274,874,409,788,229,522,730,147,884,965,405,113,277,874,817,773,422,
202,141,767,008,803,844,695,341,366,330,342,812,299,251,451,548,038,192,921,
323,313,883,012,390,257,187,503,280,858,271,581,679,088,523,248,933,872,604,
127,806,502,424,993,378,337,341,569,263,917,376,717,999,157,971,400,930,293,
437,838,515,687,560,192,981,122,919,519,363,164,407,828,925,691,465,271,039,
414,414,594,245,564,669,949,126,383,800,815,863,034,146,860,248,326,196,521,
897,205,056,730,815,414,703,594,884,529,252,405,947,962,143,949,826,829,475,
949,815,644,173,919,832,314,851,558,648,931,967,512,566,097,468,156,778,172,
122,814,913,809,261,025,428,163,844,738,593,394,039,203,026,938,875,226,541,
294,057,996,799,213,849,420,412,600,115,017,206,172,487,797,507,567,074,668,
861,240,315,372,756,696,807,168,216,716,427,104,922,699,645,143,597,186,096,
182,641,774,546,561,802,771,254,027,963,036,804,597,131,091,054,013,944,751,
753,225,928,032,622,847,373,708,763,515,409,469,267,812,371,288,075,585,001,
666,061,552,718,485,166,135,521,427,512,738,429,270,639,312,088,356,239,048,
759,111,408,240,630,578,289,907,145,156,015,319,025,992,800,804,072,289,309,
631,243,908,674,310,063,104,355,898,487,459,037,242,287,353,270,607,671,908,
373,302,115,675,101,066,232,833,788,548,929,027,889,534,226,716,028,813,258,
076,095,747,243,732,373,390,960,379,793,105,091,179,831,300,104,638,137,040,
926,779,425,157,484,985,038,454,448,727,216,141,865,751,274,860,522,550,760,
184,470,948,262,592,098,129,961,258,163,844,137,772,632,320,485,141,294,277,
979,740,757,550,708,397,753,218,666,764,205,611,529,202,513,657,575,075,897,
782,319,635,218,227,533,571,452,845,938,218,340,207,452,359,777,228,182,177,
515,495,586,689,707,344,763,090,350,545,149,623,429,003,056,957,435,188,738,
127,905,215,850,073,390,036,572,521,129,292,970,507,114,397,975,186,291,008,
464,769,198,313,237,325,855,571,835,726,567,629,508,973,451,769,879,836,073,
027,832,854,552,904,763,573,137,191,823,794,879,682,343,698,399,870,227,263,
403,804,163,418,912,699,728,353,205,977,026,947,776,123,682,466,589,796,458,
851,375,177,449,815,458,872,857,222,316,019,282,028,580,073,697,839,323,262,
338,431,370,879,400,132,332,074,468,143,199,746,101,680,371,820,665,489,970,
174,965,973,488,717,178,125,624,093,524,000,372,374,829,518,325,734,329,173,
509,131,521,242,614,503,882,681,034,334,096,978,224,380,385,397,779,513,522,
860,837,701,071,412,446,421,011,747,926,375,905,788,057,360,003,206,368,377,
446,648,390,932,947,743,632,172,386,061,675,485,656,748,610,307,109,803,908,
957,673,706,310,705,584,931,120,280,966,115,839,586,349,079,447,905,419,785,
279,321,149,396,612,307,297,393,400,426,300,360,598,211,079,216,122,576,145,
742,546,170,398,336,358,393,166,595,687,210,155,852,608,168,223,659,030,382,
652,342,213,924,014,637,249,545,466,817,101,272,972,556,588,713,797,546,274,
994,585,770,429,595,841,101,060,312,585,158,856,685,620,878,045,906,521,225,
226,283,390,226,305,241,477,629,602,466,668,942,116,377,974,771,077,444,514,
530,698,086,781,535,461,896,479,641,400,474,496,695,915,995,858,479,199,832,
129,168,475,158,233,914,251,107,570,606,760,016,069,551,324,980,888,617,201,
591,677,216,896,707,276,092,147,944,031,104,477,229,691,541,908,333,408,384,
421,177,091,038,425,182,971,229,426,453,738,529,916,890,895,310,106,265,958,
159,798,214,727,466,213,082,904,068,590,639,512,922,528,121,905,486,169,745,
343,591,185,555,416,156,078,046,100,912,566,658,504,428,761,714,370,289,853,
668,676,603,695,510,751,936,556,235,367,202,731,437,430,777,572,838,438,776,
125,467,461,250,327,061,295,509,307,616,767,365,523,757,376,847,152,640,235,
804,684,978,381,477,852,316,167,121,697,870,103,869,535,220,518,933,061,599,
581,710,106,586,576,099,854,132,850,902,990,906,354,744,618,859,944,439,446,
077,173,692,316,694,216,993,860,871,311,682,711,146,106,837,165,661,707,324,
104,245,643,642,125,534,852,952,813,346,776,101,631,725,460,351,183,366,626,
182,985,585,128,113,292,922,083,400,729,442,239,849,371,406,877,878,271,258,
328,644,408,304,744,175,294,272,413,180,270,701,947,476,500,947,213,562,442,
475,461,159,773,215,458,706,050,093,142,948,110,327,124,036,237,807,399,344,
528,043,882,400,065,737,055,543,807,848,607,757,093,612,241,737,686,343,391,
963,088,199,612,428,853,986,391,282,509,226,022,168,032,445,641,424,050,488,
496,985,464,667,037,767,407,768,388,408,417,399,988,584,633,782,483,304,086,
634,298,208,660,997,244,106,516,424,202,341,428,683,425,550,457,387,185,360,
037,062,674,159,467,017,357,539,081,364,457,128,329,439,564,314,959,267,704,
385,491,763,128,732,318,797,749,840,853,468,097,631,273,098,397,288,926,358,
699,832,249,251,802,001,001,899,319,563,063,557,569,530,613,777,522,908,812,
801,041,854,751,871,837,169,937,876,656,097,878,187,114,359,089,372,325,604,
153,838,422,614,776,403,922,223,111,313,479,970,660,663,449,588,411,221,417,
042,829,128,450,386,109,691,618,498,843,701,904,364,101,481,773,363,324,772,
334,430,628,659,001,087,549,533,132,215,484,533,643,278,547,162,017,926,077,
030,746,140,320,190,781,844,592,297,822,091,661,729,762,704,151,908,634,888,
843,379,950,611,450,820,235,739,389,476,855,673,354,898,587,343,300,624,295,
334,762,048,606,666,654,606,642,870,468,104,846,363,688,655,972,421,750,964,
981,204,211,724,107,861,351,257,159,375,488,744,953,728,948,517,650,768,479,
047,231,723,045,468,605,372,282,490,079,514,114,062,662,914,213,853,900,762,
839,555,461,179,737,367,545,338,869,901,845,909,387,812,698,516,302,618,968,
453,985,566,936,248,764,839,951,454,406,712,618,288,533,381,150,891,734,573,
970,129,365,786,075,319,034,713,715,287,946,441,029,521,079,735,297,763,511,
779,468,146,049,076,704,804,078,813,366,192,817,167,589,330,752,438,842,776,
533,035,585,422,930,142,025,721,619,917,026,804,257,644,763,581,915,313,566,
371,374,397,434,131,379,371,727,230,664,089,495,545,200,509,449,610,599,554,
174,762,007,166,055,030,471,381,988,516,903,171,213,392,512,555,247,105,333,
740,636,830,630,768,041,442,270,785,082,474,965,185,487,858,353,534,513,543,
026,606,674,904,078,748,179,423,827,293,822,889,504,912,256,901,833,195,306,
847,207,399,683,160,012,825,692,204,607,944,026,041,838,201,014,120,423,131,
558,543,503,278,056,599,737,458,758,328,838,186,731,531,487,757,192,851,202,
543,864,219,832,867,460,778,652,540,537,743,265,570,399,396,491,785,785,503,
233,007,985,147,689,731,325,900,804,577,884,900,939,782,659,460,637,411,506,
795,323,469,105,299,120,127,417,035,937,717,518,881,884,293,758,032,902,371,
252,332,510,503,194,624,784,001,483,487,848,103,140,044,593,615,048,549,552,
994,393,114,649,659,888,825,681,779,327,006,078,048,736,610,702,856,492,954,
132,051,750,984,610,556,242,763,420,361,989,824,987,076,103,214,875,078,812,
859,301,163,890,969,378,457,891,088,116,311,760,018,649,991,980,102,298,600,
144,376,819,493,149,153,408,225,231,354,445,672,476,141,375,544,529,650,085,
816,300,125,526,113,666,672,039,512,987,661,169,154,199,501,136,457,622,402,
439,562,318,636,096,781,122,524,891,685,449,381,133,391,362,626,129,186,349,
602,747,466,299,290,600,960,699,689,440,224,748,039,512,759,137,946,631,698,
137,454,389,470,998,852,662,026,931,794,931,488,876,582,842,926,992,321,519,
467,128,339,075,624,214,480,389,445,559,633,359,503,716,644,296,848,697,137,
984,114,492,764,230,814,682,523,863,007,618,870,745,366,543,302,122,803,000,
400,335,682,422,809,014,344,749,913,344,104,245,650,416,065,263,084,872,489,
792,646,719,955,634,805,083,292,147,017,218,904,709,949,194,241,294,819,736,
155,092,126,566,289,271,886,154,420,662,746,587,428,165,099,584,040,700,935,
335,591,680,676,409,003,812,835,184,152,115,401,432,764,234,558,806,225,777,
395,159,149,510,179,957,250,467,057,740,929,533,361,061,846,415,484,889,128,
197,957,798,977,534,204,810,208,202,903,159,525,549,897,549,829,262,287,087,
729,850,218,287,255,042,131,356,316,958,318,781,049,155,789,643,911,423,872,
179,437,236,874,076,290,357,251,081,612,999,788,106,672,973,854,297,828,988,
137,404,235,150,912,437,300,201,266,786,057,448,623,856,989,957,997,590,264,
987,887,351,036,928,946,408,390,886,051,154,124,762,316,322,959,228,192,877,
741,884,957,127,843,636,224,061,317,462,064,459,429,693,771,793,267,278,802,
153,878,433,982,611,795,604,146,561,936,232,881,628,495,477,757,292,288,855,
356,463,895,428,294,620,242,506,042,872,661,788,918,690,049,888,353,752,352,
265,330,314,686,400,244,218,037,659,708,731,856,662,052,844,547,225,826,240,
022,046,660,268,939,193,653,399,277,928,310,810,489,825,083,215,116,585,900,
047,363,817,591,092,250,968,264,934,424,093,390,402,585,601,832,968,679,980,
287,931,890,782,128,959,636,538,473,433,184,537,108,380,346,083,546,003,599,
880,961,108,577,135,426,857,096,630,609,374,972,620,608,051,155,874,426,645,
401,908,545,907,437,591,288,403,372,525,130,143,914,698,557,880,324,499,477,
045,254,374,890,669,138,045,133,509,376,605,444,322,688,484,717,192,925,938,
716,504,825,616,385,523,837,301,354,549,203,733,156,907,012,216,261,470,844,
274,581,254,135,548,726,254,802,679,327,651,500,258,424,276,851,318,953,789,
613,669,442,877,901,630,850,989,478,139,337,921,991,862,614,584,030,119,527,
516,804,723,358,757,399,764,529,680,671,053,563,415,231,424,247,759,009,401,
558,618,799,359,483,690,477,792,032,273,860,357,523,660,518,079,819,280,381,
383,317,057,583,509,089,148,578,810,768,482,381,382,393,227,459,047,907,256,
536,380,668,970,464,786,123,196,093,580,920,147,695,669,854,438,367,283,743,
301,660,128,835,809,731,938,761,160,278,725,327,530,779,600,364,848,664,819,
904,209,154,639,813,901,297,180,803,518,185,374,589,270,751,867,655,691,055,
810,419,349,343,653,232,059,300,353,994,651,904,484,815,454,909,331,334,973,
783,847,582,002,049,624,098,612,348,411,658,565,913,248,783,174,244,239,634,
293,398,451,060,218,024,072,908,690,013,858,988,734,564,728,627,896,260,739,
819,430,565,909,221,214,932,682,446,889,722,807,673,591,959,486,954,937,276,
091,055,440,885,642,741,708,630,030,823,937,909,629,562,228,361,121,834,815,
848,923,540,300,389,152,782,503,706,878,963,579,666,874,531,684,617,330,837,
366,503,268,530,144,297,800,910,289,464,962,958,475,172,253,676,918,647,796,
634,649,902,148,448,794,585,019,455,513,788,102,874,163,983,105,819,974,998,
366,686,398,178,947,981,904,693,760,979,452,316,373,523,481,851,091,485,433,
800,740,009,898,105,884,228,043,060,512,575,637,988,332,179,880,205,498,968,
880,466,717,034,105,541,669,630,769,699,635,317,995,247,804,128,680,101,517,
664,943,553,584,319,620,215,489,827,539,241,944,268,270,628,740,452,967,691,
428,293,439,197,175,005,261,462,743,043,728,820,562,313,552,895,742,834,558,
176,338,696,152,951,956,206,751,484,504,963,710,435,482,011,086,372,601,322,
657,592,423,864,384,122,133,217,606,231,209,225,838,951,559,290,016,144,239,
803,930,063,907,013,221,892,024,787,959,799,802,626,417,324,951,674,818,160,
213,068,267,070,325,318,986,449,795,846,786,723,412,925,029,250,407,119,155,
959,098,542,927,098,673,071,004,663,082,342,528,910,882,210,771,563,688,256,
135,841,035,250,417,985,771,556,859,949,648,929,026,513,543,252,849,398,679,
370,181,368,209,107,813,201,593,599,901,845,796,265,897,113,802,761,318,660,
541,029,237,966,650,107,775,695,338,444,981,643,286,839,487,087,119,485,776,
770,711,200,845,283,675,589,639,041,031,115,614,049,269,777,507,565,278,060,
720,602,311,260,103,702,910,943,121,917,839,779,986,841,220,931,794,352,401,
020,947,493,852,490,364,200,743,517,865,392,443,758,548,581,517,258,280,763,
526,849,590,644,388,467,436,413,674,494,647,681,569,113,437,823,703,271,572,
938,034,835,106,697,050,783,104,908,649,159,293,283,519,228,398,644,471,250,
116,318,341,741,327,964,053,481,947,753,209,683,536,189,551,728,988,438,970,
017,800,699,754,879,882,843,513,539,885,590,421,689,873,267,497,824,405,112,
193,340,418,209,596,035,395,024,612,400,345,637,147,887,004,524,789,101,308,
300,114,216,617,757,916,127,209,412,239,009,142,028,131,572,096,736,804,000,
843,813,558,835,975,999,679,918,585,487,792,324,199,497,978,768,754,779,129,
540,005,299,054,866,155,018,026,708,877,298,796,477,196,175,370,504,220,522,
525,950,448,765,493,967,942,081,894,013,589,807,400,598,520,236,180,759,479,
583,055,891,856,924,528,898,306,635,023,500,858,886,296,159,936,649,342,183,
534,920,327,042,027,579,912,008,271,490,001,159,847,715,077,351,583,545,415,
419,518,101,777,995,752,402,785,731,781,499,698,492,510,151,173,688,602,867,
586,712,032,716,184,605,478,842,102,940,593,483,713,547,733,850,078,141,594,
923,003,819,387,200,266,051,348,583,107,747,086,308,102,437,038,829,657,180,
265,922,128,096,849,140,864,606,482,950,053,129,280,940,540,846,031,050,228,
222,522,518,672,343,996,337,407,618,568,892,898,534,421,196,463,312,563,272,
900,106,853,598,771,773,851,586,791,983,706,757,000,385,804,610,184,409,433,
988,554,305,931,328,688,276,909,448,749,744,488,153,737,564,415,021,933,381,
163,449,566,417,937,077,138,182,053,509,989,029,225,787,289,965,926,490,969,
019,334,609,806,541,539,506,144,927,678,993,977,010,564,490,052,403,063,027,
170,520,457,814,801,777,931,300,362,106,281,506,349,257,247,153,917,905,158,
887,922,210,463,713,034,888,249,422,808,885,537,661,914,367,874,386,817,972,
269,812,331,785,105,164,053,283,915,090,040,569,295,676,570,951,937,251,949,
421,703,532,691,648,160,803,755,065,480,520,561,505,886,920,175,491,467,191,
817,437,063,326,842,621,575,445,458,356,375,567,092,991,193,196,891,502,778,
398,011,577,337,394,386,080,617,013,513,130,859,081,680,576,293,754,502,580,
938,260,046,651,261,349,532,568,689,907,473,286,318,480,934,456,235,738,762,
056,514,031,980,214,310,230,384,299,069,677,965,043,413,910,301,556,448,853,
893,521,765,062,593,866,815,613,376,403,836,870,390,734,126,576,142,009,446,
324,263,368,289,114,335,817,532,784,478,836,876,188,394,767,541,450,264,103,
766,774,784,716,212,434,587,521,292,931,288,970,883,443,993,468,332,081,622,
315,683,206,110,295,428,796,538,693,402,444,625,241,180,119,733,714,369,876,
400,100,824,782,432,008,385,202,258,866,933,195,857,259,698,916,437,319,221,
961,963,644,594,684,890,773,613,561,835,731,678,947,218,636,645,951,198,606,
835,048,014,323,278,593,860,483,238,362,097,593,480,032,664,308,321,610,850,
728,243,083,386,131,021,453,898,044,240,631,640,983,780,579,375,290,627,622,
473,490,935,182,003,470,088,467,885,741,677,783,051,440,556,702,315,663,544,
850,995,464,295,512,912,663,572,415,440,787,975,041,755,962,785,316,736,840,
416,096,865,884,802,160,251,213,608,842,360,757,412,482,181,454,147,457,251,
041,046,008,663,745,485,420,625,624,931,192,432,929,771,873,272,519,518,485,
603,052,239,255,614,798,682,364,758,109,532,381,835,213,233,517,070,419,903,
092,360,462,679,545,443,965,762,684,000,527,289,822,882,164,712,201,995,427,
046,735,453,043,921,366,532,086,955,492,988,899,398,344,971,479,392,588,787,
895,323,555,785,823,625,476,781,545,309,768,672,111,093,319,460,235,404,787,
113,108,410,007,056,601,763,608,822,299,203,646,909,213,217,433,207,847,017,
545,765,065,386,104,691,124,231,126,655,134,783,513,332,266,700,250,286,512,
071,709,064,370,800,131,742,614,500,086,474,706,072,261,692,948,196,734,055,
512,131,702,151,976,527,675,695,813,081,462,933,067,227,787,641,737,438,084,
072,846,839,466,731,366,642,532,704,829,397,497,298,978,173,817,967,706,572,
957,239,904,497,042,316,953,259,472,174,815,834,859,459,540,176,491,805,078,
191,852,163,080,927,010,540,868,640,128,818,412,354,491,612,975,618,703,485,
064,085,063,522,625,964,019,816,671,322,757,142,623,180,208,086,524,904,377,
168,661,783,907,988,207,715,106,731,256,217,969,359,589,006,964,759,045,834,
993,774,108,971,732,752,478,819,878,203,293,985,673,359,958,868,802,526,528,
169,595,144,417,562,013,991,356,735,011,028,683,728,912,792,402,406,372,916,
504,272,081,650,640,038,227,607,281,290,112,887,710,275,155,120,657,325,080,
158,984,147,399,946,648,481,549,691,919,109,098,246,289,904,956,808,025,206,
013,606,538,081,821,108,718,807,085,804,449,841,769,119,112,819,809,025,544,
507,998,843,267,239,640,024,477,962,888,358,702,650,632,934,794,200,574,855,
071,346,636,496,767,860,338,215,884,091,498,696,769,929,290,863,460,825,712,
042,636,752,490,888,533,219,212,382,672,022,922,840,643,813,415,410,779,966,
563,648,816,204,338,549,486,959,644,341,945,650,789,321,674,856,547,533,342,
810,185,430,873,827,323,000,738,176,880,659,452,540,933,662,231,079,581,826,
979,347,642,504,783,868,909,772,775,105,993,691,196,602,089,016,251,331,141,
752,151,243,777,560,931,304,805,292,290,400,565,131,335,260,638,661,243,092,
466,851,978,531,659,497,509,495,461,346,993,136,612,688,499,796,927,538,505,
943,984,197,413,870,078,822,410,930,480,340,845,513,700,010,470,115,673,489,
370,028,344,258,425,857,089,288,582,797,993,710,400,184,663,868,885,907,795,
022,960,614,256,664,742,708,827,565,973,910,727,845,005,009,749,525,066,110,
521,122,916,016,208,058,336,048,675,223,735,451,646,150,331,001,613,554,120,
523,092,500,603,089,130,389,570,030,344,279,371,943,064,862,130,494,073,067,
979,261,234,303,639,772,516,141,290,642,557,586,626,963,524,607,749,155,306,
166,704,229,564,099,810,614,707,401,821,187,056,289,785,303,778,265,728,028,
874,628,051,270,662,958,538,963,728,779,809,755,416,060,602,608,658,502,087,
115,871,104,639,440,751,679,976,907,751,795,446,972,527,439,402,606,986,462,
382,595,046,187,766,516,761,698,233,388,403,691,996,585,166,697,021,726,778,
996,494,506,740,645,173,089,058,039,293,036,278,108,579,704,373,067,085,833,
076,888,068,070,580,655,364,173,038,221,483,766,484,339,371,879,687,891,098,
288,006,385,838,374,908,378,426,415,572,751,507,398,476,684,477,731,021,461,
209,207,600,985,245,855,167,764,155,451,089,124,856,272,391,551,559,817,171,
139,965,918,444,438,621,952,496,585,384,605,196,152,011,897,034,331,014,691,
066,306,855,397,574,761,347,746,338,511,020,178,805,441,703,339,508,516,575,
513,097,832,277,871,819,563,306,345,722,104,406,475,200,510,357,971,118,784,
655,835,265,478,491,158,694,752,331,985,648,206,419,771,863,115,108,279,263,
977,561,984,526,046,463,516,003,089,753,204,809,326,222,470,310,356,539,592,
541,382,329,200,321,200,035,106,679,652,614,984,683,411,697,982,032,703,129,
896,388,612,512,394,937,229,916,122,662,237,124,401,935,839,128,807,045,742,
306,257,179,937,843,475,410,509,763,601,987,119,869,053,648,966,773,923,804,
742,334,337,315,163,047,481,083,551,498,164,884,545,206,923,388,741,332,617,
044,479,641,816,115,706,937,758,789,147,105,145,540,378,692,494,052,475,862,
734,568,383,093,106,568,536,226,174,821,007,311,473,842,272,962,104,256,967,
494,864,684,206,494,021,009,430,408,190,196,534,895,861,467,923,401,257,488,
446,711,291,911,153,218,811,522,684,546,522,655,939,257,999,492,273,687,725,
956,785,606,717,115,684,352,510,416,741,149,241,313,144,674,997,856,944,546,
297,962,058,628,623,163,449,215,195,902,598,066,801,027,734,419,898,285,172,
548,985,379,870,960,253,213,319,232,670,400,136,419,109,105,479,098,174,812,
326,047,213,280,268,373,659,930,339,064,288,471,781,261,572,448,713,820,029,
311,997,028,015,623,920,773,741,717,499,365,468,054,536,244,664,551,051,360,
905,405,861,641,681,886,093,433,413,865,233,928,101,951,176,760,011,695,615,
925,527,048,795,492,868,268,083,155,668,516,168,665,425,252,659,714,906,112,
959,321,603,108,826,300,218,020,225,166,687,823,863,335,839,937,755,227,408,
054,768,615,054,042,499,475,906,451,167,166,396,162,518,696,857,229,955,177,
619,708,712,129,550,448,421,305,476,148,190,240,296,193,163,109,201,185,659,
745,342,292,989,414,438,545,817,400,749,513,978,231,511,707,458,181,467,526,
329,430,869,964,927,441,603,895,444,754,379,702,997,418,908,931,425,174,383,
332,474,052,048,413,527,302,834,343,963,694,077,328,928,092,844,795,924,002,
626,966,379,979,531,898,611,582,768,805,356,461,689,498,695,906,959,634,314,
833,775,508,117,817,372,581,191,273,698,353,990,964,735,607,795,558,032,306,
536,951,418,525,852,317,439,511,688,126,473,635,932,839,483,662,331,925,786,
864,512,414,097,053,839,362,466,853,651,964,108,342,871,743,835,931,903,584,
150,472,313,696,951,212,318,622,244,010,661,749,437,181,592,392,146,667,126,
874,432,757,944,704,040,103,883,738,676,750,172,228,780,100,446,760,524,360,
719,760,490,017,071,120,308,678,504,212,438,669,919,237,505,965,761,714,353,
610,435,172,224,051,871,853,988,833,000,946,837,055,088,776,169,609,054,730,
607,594,985,452,828,360,393,519,932,621,509,668,202,804,297,623,213,792,285,
928,658,597,577,460,142,406,736,474,462,472,775,423,217,324,049,184,463,446,
990,253,956,575,558,974,547,600,899,848,480,775,305,974,851,201,598,563,517,
748,631,315,419,359,013,563,138,649,871,305,521,892,820,303,078,033,618,397,
409,881,948,766,150,565,728,981,466,008,413,438,214,465,136,226,158,315,067,
021,474,822,685,711,573,716,500,717,685,791,826,735,165,065,775,903,341,436,
559,239,979,788,699,817,745,068,387,471,536,418,271,804,783,401,492,064,756,
346,475,668,646,795,050,069,073,552,057,894,102,781,831,275,432,753,454,698,
016,928,178,004,357,905,381,132,154,562,284,160,008,652,586,003,244,841,932,
728,401,392,772,481,744,476,918,890,986,429,400,073,505,859,702,021,581,467,
518,961,973,213,190,586,384,442,411,214,392,958,156,212,829,734,136,568,572,
658,941,904,938,766,204,809,668,558,340,951,635,703,647,457,457,401,650,631,
160,430,006,642,224,806,931,178,081,653,323,146,691,968,942,510,166,170,239,
787,418,344,044,838,623,901,108,458,194,092,463,131,891,262,372,225,355,777,
636,192,202,973,068,429,627,369,838,422,560,599,882,233,973,470,433,298,235,
828,971,792,983,178,863,108,975,256,766,035,635,069,297,073,216,655,560,944,
828,298,271,866,564,678,831,828,422,666,956,183,028,466,237,288,549,148,808,
711,674,253,459,219,461,263,539,286,104,789,970,452,858,685,406,668,621,346,
584,369,736,428,318,955,991,863,227,679,632,264,997,961,226,315,344,725,671,
956,505,324,372,371,462,934,528,063,325,315,509,013,623,146,436,557,786,719,
209,209,493,099,710,537,189,873,257,774,178,272,416,122,930,361,890,964,952,
005,745,083,200,370,233,124,584,135,989,193,596,829,632,133,389,689,187,707,
172,829,437,045,295,124,142,532,276,346,600,648,531,316,765,005,496,704,208,
876,244,021,836,287,563,836,979,779,177,679,725,859,024,856,496,067,148,407,
600,737,728,744,194,891,600,978,203,107,157,644,356,449,767,812,135,270,392,
139,909,925,790,037,767,696,825,490,168,298,352,212,751,167,047,045,878,135,
220,283,002,637,695,916,055,692,421,782,727,533,770,578,986,726,063,070,642,
428,094,813,318,691,839,917,762,510,849,887,272,650,104,303,696,108,558,679,
252,714,752,772,831,934,423,261,112,856,136,861,991,232,605,003,107,977,706,
281,600,402,929,833,793,080,862,893,596,039,996,597,872,244,215,007,821,891,
366,477,487,356,000,298,685,094,439,305,670,111,007,564,407,658,233,779,228,
825,712,725,215,215,208,900,849,520,751,606,456,598,565,263,528,859,419,052,
809,419,833,826,754,971,762,267,283,951,130,636,955,417,211,359,518,636,957,
264,605,590,523,592,029,057,021,894,735,929,494,237,296,721,050,718,063,596,
754,634,554,084,125,306,251,253,365,161,984,686,677,594,528,740,961,195,271,
427,122,359,046,021,518,065,820,609,153,388,252,746,354,515,851,618,648,044,
631,842,716,006,980,207,430,017,979,823,620,968,788,123,310,510,695,275,365,
657,667,697,626,298,795,071,066,365,134,151,240,971,650,551,818,174,606,512,
660,607,584,908,906,226,771,569,651,478,721,563,455,365,333,127,071,462,598,
999,841,862,550,572,839,066,273,587,369,693,647,338,671,355,966,122,890,343,
205,353,711,586,047,502,704,105,152,422,723,253,087,864,395,214,042,819,365,
686,548,068,712,606,334,008,503,275,508,384,334,322,907,690,533,602,951,835,
605,926,159,943,791,849,109,682,373,891,941,581,209,897,692,408,745,526,008,
944,935,953,018,505,645,759,273,803,395,859,639,292,198,553,402,338,678,733,
504,368,841,231,784,832,359,076,096,022,631,894,057,157,663,385,692,281,250,
667,820,629,683,372,491,057,564,705,918,637,520,764,415,847,667,396,043,433,
173,204,029,013,406,887,112,012,154,300,657,073,128,147,548,668,441,918,863,
475,681,361,091,476,210,702,862,017,347,237,447,034,161,959,239,183,629,006,
961,183,444,953,670,610,061,901,290,455,192,788,490,665,072,219,157,586,916,
423,881,385,997,905,240,930,245,546,201,615,998,125,544,973,218,171,579,032,
574,611,818,075,506,299,373,451,314,395,007,108,355,477,872,605,272,412,870,
763,939,863,296,207,880,020,563,139,296,959,818,786,437,047,800,462,735,735,
619,174,722,588,616,784,632,127,656,100,602,397,817,041,739,636,534,789,394,
497,513,563,722,329,038,812,292,588,626,814,623,257,930,337,618,179,336,850,
576,938,079,487,917,344,193,584,567,058,992,975,009,421,504,588,477,435,156,
985,600,184,439,840,888,672,951,441,958,824,279,401,884,169,629,358,290,416,
280,748,020,563,166,745,223,796,103,515,433,340,310,613,666,240,061,319,898,
133,796,173,261,295,943,603,482,054,363,469,297,463,493,338,301,189,176,571,
897,220,363,454,497,411,873,460,092,644,322,452,110,332,931,816,885,821,667,
905,397,258,344,394,928,854,595,152,188,678,714,078,856,161,006,253,219,628,
352,681,119,400,189,349,379,106,545,567,816,128,017,482,800,352,808,085,795,
446,867,725,127,535,744,380,802,856,433,684,319,445,335,463,513,153,137,126,
762,933,930,887,782,350,515,968,340,366,051,162,018,194,869,162,923,590,412,
142,012,904,454,760,972,326,938,816,655,382,869,281,542,576,172,187,840,678,
945,684,800,124,316,208,396,169,046,564,797,468,045,897,374,177,609,216,733,
678,824,261,118,598,346,323,998,282,363,369,092,620,394,584,920,420,210,074,
972,977,284,937,646,825,328,543,466,701,554,992,258,829,629,306,883,643,214,
232,954,440,413,987,050,712,627,507,691,955,223,163,495,453,353,899,099,366,
073,168,456,869,850,362,935,801,249,725,316,109,708,037,470,356,166,770,451,
610,650,657,469,399,617,868,306,751,922,054,059,995,578,394,973,103,046,686,
325,517,824,856,239,202,833,817,430,351,040,134,873,516,988,756,867,664,287,
804,035,986,851,652,592,399,381,384,019,450,455,211,294,226,943,049,419,675,
628,564,288,024,784,148,077,055,833,012,040,297,792,598,507,867,683,291,287,
633,384,871,379,531,297,863,419,881,362,495,707,833,604,744,409,293,797,445,
782,909,658,396,863,063,735,927,582,078,266,270,184,227,751,627,311,797,982,
462,306,044,293,065,950,385,391,545,998,180,344,875,139,058,844,129,690,425,
322,445,519,849,141,247,195,186,492,049,633,809,282,080,767,337,908,016,604,
811,485,028,820,684,022,057,910,126,411,668,320,386,356,686,222,387,928,301,
545,936,080,799,273,032,227,967,407,747,275,780,020,859,260,964,505,168,121,
677,085,474,990,373,123,793,779,018,526,495,555,965,658,887,212,783,526,600,
109,586,796,289,744,318,719,030,247,541,729,470,017,200,330,484,940,730,122,
983,342,989,261,746,631,698,032,415,223,971,179,076,612,282,937,682,855,981,
237,815,772,286,250,782,632,308,034,768,184,243,261,116,861,486,083,888,946,
409,119,504,681,332,934,863,804,598,920,151,445,239,781,546,469,437,948,593,
303,710,485,922,425,259,522,902,292,885,833,232,371,663,800,826,403,000,423,
475,766,612,790,179,745,839,183,690,884,386,238,817,684,622,033,859,634,601,
180,472,766,191,499,919,714,540,461,837,727,622,904,543,351,952,579,717,277,
147,757,287,551,536,625,462,039,208,181,269,527,278,510,745,764,729,958,222,
871,510,282,765,725,181,399,249,336,900,845,137,441,385,972,949,792,169,975,
269,112,329,856,122,591,307,643,667,141,988,982,345,242,286,397,426,164,074,
953,290,951,377,597,356,265,816,750,843,113,585,429,250,216,195,123,983,097,
009,683,319,410,852,895,805,896,284,644,278,183,018,255,629,909,360,082,351,
523,656,559,359,409,595,147,766,337,714,200,648,607,746,566,195,174,848,564,
275,702,230,712,895,423,110,128,944,224,442,073,896,338,667,679,667,236,193,
679,745,885,999,647,542,416,554,075,646,103,652,554,828,688,467,900,091,180,
189,371,391,648,318,090,511,419,049,022,153,868,777,515,537,744,545,968,637,
867,185,875,230,702,802,600,924,836,644,836,815,609,065,186,449,554,169,582,
227,858,631,823,364,538,281,092,643,202,858,481,288,443,540,081,841,208,273,
490,088,088,604,068,918,895,909,085,381,642,381,163,914,813,609,500,377,622,
621,802,689,093,854,311,913,604,833,788,775,285,367,882,497,485,909,308,834,
869,838,239,689,132,836,661,858,044,566,411,265,605,785,148,715,160,708,560,
315,408,628,552,340,261,035,029,776,196,430,236,153,282,725,071,319,377,362,
222,459,698,511,754,710,871,593,760,789,677,064,141,153,277,328,529,153,408,
243,639,071,458,694,031,445,064,249,858,053,327,045,197,029,746,214,823,476,
093,832,275,009,845,508,568,368,082,828,358,735,887,734,219,684,291,742,368,
499,916,491,269,687,136,126,183,046,991,071,316,269,368,698,329,253,350,997,
948,906,275,896,681,291,179,349,408,018,917,034,464,563,572,459,472,806,853,
904,693,831,631,304,406,161,236,998,177,711,075,675,645,104,225,965,597,106,
258,380,539,172,675,393,569,536,563,578,200,261,159,308,930,638,199,652,471,
209,152,757,778,118,217,683,006,379,779,504,705,375,736,607,429,459,852,469,
027,144,407,718,415,745,166,196,657,293,814,545,290,735,874,438,016,899,052,
352,376,570,894,905,829,828,334,986,575,925,224,051,326,419,426,548,435,590,
889,443,541,399,610,078,145,747,845,738,799,403,562,855,619,680,181,028,240,
649,178,777,580,712,443,476,931,695,344,237,819,869,454,632,059,267,246,600,
424,889,497,380,273,854,490,190,667,327,981,295,214,106,597,883,333,900,835,
170,260,386,238,464,699,882,000,921,824,707,613,855,169,558,254,803,344,405,
650,268,744,657,014,655,407,474,662,655,583,466,203,383,436,077,112,839,748,
010,534,794,009,025,616,133,642,816,699,048,762,623,620,100,429,305,122,191,
205,462,017,270,101,117,184,689,948,932,090,503,289,452,444,113,214,088,109,
135,854,889,162,107,637,391,494,610,218,921,824,888,327,694,714,952,561,687,
446,978,470,660,440,013,568,752,413,178,263,401,027,010,846,145,108,226,650,
123,015,132,361,145,724,372,370,317,067,655,035,287,568,302,979,386,933,378,
361,997,666,291,966,060,906,194,444,300,896,002,936,617,965,124,656,236,923,
313,217,391,199,636,092,683,333,314,383,300,772,211,370,943,135,960,216,385,
018,359,048,490,577,045,866,397,765,506,367,513,787,008,145,360,587,324,453,
085,706,770,154,325,573,875,413,925,857,246,113,904,707,644,577,076,012,168,
855,651,906,692,139,516,468,482,708,546,435,868,296,091,550,455,706,994,638,
463,337,593,727,611,861,476,268,400,572,672,221,384,667,870,463,503,851,190,
106,265,200,212,120,560,472,975,456,241,140,168,387,762,392,977,830,019,776,
161,321,686,691,139,867,941,276,533,595,673,391,457,227,078,953,937,660,206,
893,116,215,553,267,845,062,963,887,628,980,782,928,683,417,530,783,479,978,
701,811,938,361,912,242,520,470,812,739,045,405,749,555,875,417,316,602,229,
597,232,865,110,474,802,934,751,854,587,073,778,762,801,225,931,642,832,071,
988,820,093,052,985,378,285,937,437,540,094,227,663,028,938,929,846,831,882,
235,218,358,419,074,306,355,348,929,785,456,080,534,478,344,798,692,050,323,
585,659,523,523,263,838,067,817,759,781,919,254,354,920,283,040,351,470,398,
289,486,879,893,045,432,313,013,652,558,423,194,524,404,157,913,694,090,427,
834,370,366,523,429,177,801,477,855,504,060,996,928,857,813,639,493,577,044,
964,058,808,519,486,358,605,749,723,377,531,441,989,102,951,339,417,794,012,
878,460,330,371,604,708,224,101,482,676,948,767,820,199,937,220,608,894,145,
033,093,663,365,336,947,118,913,802,340,467,647,267,609,941,459,587,616,170,
864,547,660,886,964,970,472,802,004,336,675,573,079,735,425,047,621,214,141,
424,834,048,685,026,221,525,001,536,048,434,709,554,300,347,998,400,394,713,
766,536,425,235,279,031,569,734,367,587,607,151,336,060,372,190,632,128,555,
617,563,811,400,948,138,765,727,727,325,688,127,284,522,281,810,517,592,612,
372,683,347,328,813,124,848,433,198,154,723,535,478,246,150,688,426,464,913,
305,786,837,136,929,585,782,420,303,884,456,611,004,681,067,125,712,219,474,
438,995,947,629,126,006,497,368,662,514,800,492,123,637,502,905,112,610,408,
693,332,757,528,535,155,208,210,361,683,814,130,782,913,739,745,671,472,648,
837,144,369,106,039,460,179,463,650,677,378,818,158,253,598,261,112,518,917,
890,626,174,934,572,548,363,588,438,534,216,228,739,268,154,209,741,145,711,
325,072,631,796,980,705,278,422,472,913,567,689,604,622,712,973,051,301,429,
962,085,830,341,140,952,949,385,675,385,206,183,590,565,749,412,683,223,293,
037,749,452,204,410,044,684,875,752,051,055,399,729,329,950,476,303,149,757,
997,616,039,121,585,686,163,048,157,226,004,045,247,599,112,133,743,739,928,
899,830,725,830,031,302,775,800,069,661,082,148,226,069,141,804,618,534,165,
371,189,703,442,224,441,833,604,160,869,717,942,100,294,702,901,961,546,879,
867,730,180,587,395,510,055,762,685,535,201,023,976,537,579,331,728,325,031,
447,918,781,344,224,140,078,161,955,788,102,599,602,850,107,203,345,066,554,
858,325,775,384,486,379,397,234,534,266,818,317,699,101,233,079,763,456,954,
192,067,652,420,310,983,354,139,336,997,618,625,357,842,815,789,297,304,227,
012,362,945,715,962,377,781,729,975,575,248,244,838,105,923,954,775,819,165,
843,212,985,638,823,573,973,815,568,318,794,692,683,132,426,207,416,408,432,
756,378,213,319,082,479,917,381,411,982,213,033,173,836,640,623,813,564,550,
623,687,106,295,758,183,848,962,910,791,242,041,922,852,703,698,972,203,289,
014,097,451,616,376,116,648,877,902,128,918,495,109,440,358,275,946,985,468,
274,493,950,435,689,458,167,132,386,844,664,114,658,685,620,829,273,509,676,
855,158,127,549,200,308,105,903,471,225,998,908,106,083,416,862,887,675,399,
644,154,145,260,583,818,321,198,160,366,974,156,149,819,759,911,235,611,867,
049,709,663,413,768,577,704,913,786,213,858,811,473,157,665,674,100,319,947,
291,139,244,740,280,841,045,399,427,548,745,278,726,155,660,201,383,015,974,
202,524,458,332,997,243,563,011,621,463,143,622,852,612,426,726,176,445,195,
845,835,757,224,275,238,102,184,299,528,714,314,998,821,890,022,354,022,480,
757,053,505,240,781,859,728,526,603,534,029,192,655,748,626,596,757,390,990,
204,280,493,430,189,325,900,124,659,125,634,570,407,848,062,402,832,246,249,
879,641,777,340,670,682,531,155,298,706,365,621,443,113,679,116,976,774,365,
583,291,525,944,824,048,648,930,472,176,604,834,010,540,749,530,156,760,869,
025,930,890,818,841,096,852,861,511,496,374,789,402,335,034,990,851,620,176,
676,268,483,901,083,198,850,404,847,471,599,439,409,723,917,262,486,709,342,
909,461,693,651,120,923,387,960,476,435,897,188,096,692,849,091,383,305,343,
303,722,229,283,989,504,962,507,976,702,989,741,515,569,018,040,578,853,467,
229,187,697,592,150,278,195,185,441,841,885,230,757,436,847,699,207,819,174,
092,333,841,662,872,961,396,413,604,861,644,104,720,729,889,102,705,985,056,
024,053,097,937,805,793,634,216,614,767,590,035,229,295,145,141,556,318,369,
707,468,145,672,406,382,614,347,263,865,163,603,805,677,999,768,294,677,572,
387,973,098,842,404,933,129,873,323,405,697,263,119,033,842,292,386,394,992,
164,289,260,036,746,927,428,677,328,337,413,901,093,255,417,504,746,649,733,
492,373,692,211,064,102,095,245,035,204,752,778,742,988,099,792,403,098,418,
201,103,845,554,255,942,191,589,896,687,026,404,860,715,981,288,957,566,906,
282,103,472,180,980,679,568,253,617,582,243,075,574,900,190,179,717,995,597,
445,621,563,198,093,377,696,342,331,050,661,551,047,951,073,561,061,600,417,
760,732,239,718,623,756,597,144,627,045,042,905,943,788,147,973,005,615,444,
698,775,954,290,657,336,537,461,459,523,851,469,273,665,632,348,350,000,388,
200,902,393,827,441,858,048,665,647,235,944,762,846,372,894,295,838,879,066,
320,269,766,431,183,930,956,473,547,911,811,094,797,093,457,270,769,138,804,
328,341,069,789,434,736,357,137,143,700,531,796,923,521,021,319,683,087,862,
335,046,888,008,712,553,723,448,423,292,761,213,559,079,902,430,957,237,376,
470,351,592,003,777,529,580,451,531,571,029,481,221,948,213,682,806,340,456,
495,657,593,258,920,340,435,961,415,501,677,963,624,561,809,638,309,816,679,
567,178,409,088,892,630,775,545,590,520,380,842,406,476,125,863,788,522,337,
358,204,069,847,000,897,253,314,912,215,081,420,664,821,850,808,936,360,661,
769,137,344,046,154,238,253,437,272,626,729,376,053,769,186,510,976,717,362,
204,077,463,058,962,452,889,961,950,040,835,380,725,992,182,160,113,071,612,
651,077,390,632,706,920,667,894,950,017,744,283,278,440,016,198,897,287,742,
193,799,954,987,138,067,465,926,112,948,112,214,107,873,058,365,112,912,193,
706,342,142,309,338,076,721,001,378,102,647,796,052,903,613,826,396,570,354,
976,187,504,471,906,388,252,083,963,357,838,188,815,881,816,404,660,816,776,
568,134,771,456,357,184,925,727,738,611,994,670,955,202,708,700,321,997,795,
946,951,768,942,577,661,181,640,596,221,975,977,230,499,057,147,740,024,740,
977,617,593,508,142,578,386,964,675,096,731,954,484,407,839,917,694,219,880,
751,780,077,952,488,742,880,829,261,751,069,914,379,851,071,700,001,573,867,
683,497,322,910,034,510,448,980,844,720,256,405,827,091,295,056,295,584,143,
852,779,035,855,291,997,523,816,339,732,864,914,927,325,149,430,397,881,308,
782,998,874,036,725,121,550,298,102,894,127,151,278,491,186,055,535,407,039,
623,768,333,340,415,299,895,402,837,910,818,639,358,857,147,436,012,061,017,
762,884,403,800,029,420,076,085,285,409,149,416,304,759,502,905,111,840,802,
434,794,172,929,390,659,567,313,746,342,275,488,834,426,095,273,789,306,351,
803,242,336,389,025,302,047,397,454,542,370,429,357,541,550,214,111,508,958,
906,139,714,198,211,341,276,950,867,698,418,575,369,984,975,837,589,501,456,
253,490,861,323,902,882,615,049,607,704,384,319,354,241,293,164,924,056,716,
282,940,738,755,154,081,864,518,469,659,320,739,402,496,008,960,642,741,915,
875,733,979,125,643,281,795,633,569,785,944,458,937,965,580,661,529,704,295,
199,292,310,249,054,731,652,242,092,496,479,674,568,247,895,978,518,936,961,
669,763,699,536,333,042,792,700,797,842,222,974,091,457,760,070,978,271,104,
097,748,719,078,084,173,612,505,278,353,010,116,812,057,885,580,483,336,933,
059,366,248,233,967,238,779,500,940,000,901,297,616,593,432,697,173,334,969,
124,727,997,375,372,472,586,851,735,610,140,560,672,018,682,081,182,624,083,
496,476,470,446,807,364,103,642,517,708,794,752,514,162,814,758,527,563,714,
045,955,392,497,524,780,792,213,095,738,710,361,329,590,954,257,913,474,867,
399,080,307,656,226,504,614,313,332,808,463,401,917,575,656,120,381,148,868,
261,570,791,070,361,181,152,778,791,051,087,589,320,288,944,149,002,081,719,
631,793,959,494,448,060,963,235,111,797,148,988,056,156,688,173,758,788,072,
982,021,988,438,341,426,994,172,730,453,043,456,317,169,320,070,307,526,628,
020,112,022,248,908,665,525,431,548,361,451,770,156,549,686,949,997,162,247,
122,710,111,051,178,432,654,037,211,091,056,592,119,504,769,152,709,065,226,
925,808,952,301,449,615,448,093,686,774,547,359,061,427,887,521,713,224,593,
230,688,551,794,159,192,015,187,709,519,655,052,607,371,468,275,627,249,286,
011,899,838,309,279,574,772,617,639,587,222,652,240,121,502,680,912,399,784,
127,210,167,850,244,668,801,567,256,984,442,636,378,078,550,108,321,999,804,
569,267,949,420,029,766,128,494,554,902,944,542,136,800,387,745,777,840,040,
474,307,226,525,117,236,824,660,934,616,771,614,055,101,539,490,523,388,277,
124,006,017,550,177,310,839,664,145,870,072,751,745,916,692,319,623,376,449,
048,946,152,005,636,497,277,732,643,862,180,943,798,586,015,366,648,795,216,
925,582,148,608,527,637,661,213,930,942,908,969,910,116,899,242,464,761,226,
940,044,417,721,198,421,126,895,260,506,492,794,337,087,767,807,416,091,799,
035,466,490,867,593,493,601,316,052,786,938,886,795,860,035,825,801,983,942,
893,518,367,106,473,917,731,942,598,683,620,319,033,851,222,227,780,470,008,
120,876,183,656,507,225,877,795,146,476,432,656,414,145,178,052,991,140,862,
799,933,911,566,263,457,721,525,457,582,619,660,575,099,907,807,008,908,319,
117,230,358,744,653,446,675,173,699,847,148,259,109,126,521,083,862,630,665,
171,795,622,652,639,694,559,010,011,892,274,451,292,098,090,610,084,174,184,
524,197,489,344,221,246,669,073,528,560,656,384,776,058,639,172,551,558,653,
661,475,914,186,071,459,188,973,664,925,677,045,504,179,270,756,999,002,431,
587,988,293,180,542,022,223,001,467,727,650,263,026,285,534,891,629,719,476,
434,887,266,926,078,235,572,550,258,922,724,037,137,808,605,781,287,604,661,
644,320,233,786,784,936,247,222,927,607,756,346,923,264,579,225,054,152,376,
393,351,563,217,422,733,991,530,441,816,798,166,301,780,451,061,929,042,458,
151,503,014,500,239,048,356,175,720,287,522,762,002,543,109,419,582,241,080,
008,907,129,234,480,260,113,075,913,847,516,952,343,917,718,574,443,392,036,
526,276,569,639,409,539,156,212,947,206,544,441,445,871,574,761,415,234,961,
491,070,708,135,700,309,076,898,654,482,005,326,683,694,915,422,111,337,595,
335,021,470,938,898,769,360,377,243,946,969,969,589,157,377,925,802,206,923,
992,856,635,683,345,623,665,133,973,426,549,124,798,036,817,994,264,994,836,
871,395,834,514,157,754,552,983,592,477,811,839,699,637,124,397,788,850,934,
358,732,946,022,531,810,121,432,174,219,572,012,541,369,785,705,282,196,094,
384,179,030,962,847,645,752,811,065,508,026,333,346,231,718,620,862,403,134,
616,076,209,050,530,242,251,902,166,013,344,188,667,834,298,451,756,945,635,
075,758,384,297,679,352,881,116,322,207,257,085,876,771,277,040,503,103,269,
603,926,848,026,518,817,160,524,281,237,570,323,637,396,925,410,862,791,660,
556,122,198,514,941,871,002,321,072,643,721,972,722,674,405,432,235,992,272,
895,981,316,237,700,935,726,497,282,836,844,199,274,289,341,728,499,129,622,
636,328,610,246,290,118,722,563,057,277,484,239,408,607,348,341,429,407,026,
944,530,215,132,694,702,118,723,142,255,621,307,820,879,971,257,999,647,906,
159,646,614,442,084,555,352,831,263,212,450,549,600,814,621,185,336,869,199,
010,545,992,952,118,606,809,141,055,181,478,046,297,812,118,513,581,263,628,
708,047,415,324,670,474,444,179,355,237,469,971,274,791,911,537,718,273,954,
101,385,759,950,182,764,393,583,848,283,926,843,053,073,702,731,061,847,326,
605,034,739,391,649,466,171,143,072,829,534,295,035,060,361,644,674,122,464,
246,642,246,281,229,843,996,267,106,599,501,090,515,648,000,018,106,788,794,
637,082,470,586,525,882,885,523,350,960,771,175,140,577,129,543,450,987,532,
250,919,182,820,314,495,691,053,662,500,782,921,751,907,450,708,298,647,732,
391,094,562,256,271,737,303,465,379,706,240,310,668,030,519,126,469,364,493,
040,557,836,259,134,588,446,816,187,430,306,941,112,226,894,584,950,798,184,
673,947,845,719,167,825,085,172,224,521,205,137,297,783,928,844,730,747,344,
209,680,189,674,818,376,588,216,524,253,550,476,851,875,913,797,142,808,202,
270,987,030,987,156,271,403,124,481,455,127,129,403,951,426,913,016,679,862,
742,427,966,458,653,895,695,338,791,742,744,108,152,047,836,777,558,571,377,
910,085,059,715,905,519,736,724,894,936,456,771,084,761,709,123,057,823,892,
332,232,135,396,843,462,758,405,909,574,657,337,482,207,454,774,244,560,867,
828,444,360,901,211,449,699,827,386,463,448,567,847,660,240,253,517,196,404,
915,436,454,357,342,284,554,678,536,761,591,123,643,267,041,220,386,278,838,
280,580,019,008,639,794,812,814,199,766,523,526,289,645,280,640,450,253,100,
063,580,335,719,194,804,586,083,402,661,005,031,167,755,492,888,630,825,687,
533,942,385,702,595,477,738,449,608,051,854,182,619,584,070,413,602,487,651,
441,270,303,227,617,019,303,451,048,117,449,838,970,475,237,285,949,565,315,
537,804,741,308,088,517,832,701,238,017,595,514,204,974,335,461,396,886,964,
866,942,636,161,737,943,266,490,950,774,724,453,550,920,262,383,354,260,803,
582,121,254,041,863,229,892,829,861,493,403,267,929,483,696,921,288,973,068,
359,209,510,769,998,029,218,849,311,157,396,387,429,821,168,171,767,443,955,
063,504,416,328,487,139,182,599,218,602,027,998,843,563,768,994,971,062,769,
106,633,394,120,604,317,898,357,856,161,919,941,642,389,569,080,812,025,297,
921,638,964,337,208,996,886,329,750,252,962,854,852,601,865,270,673,652,704,
371,407,147,252,374,071,079,154,094,305,071,037,523,547,561,657,520,682,200,
569,944,671,250,375,073,915,401,426,873,611,747,387,085,441,520,770,855,040,
474,909,846,701,478,751,156,195,380,685,758,197,329,557,704,251,950,195,331,
002,876,774,192,434,382,373,488,644,115,093,401,211,704,443,342,405,790,861,
188,383,233,076,670,001,912,410,292,524,824,547,522,177,042,319,488,344,982,
609,988,393,109,801,674,543,683,436,933,410,889,150,872,407,982,630,699,551,
127,068,115,998,737,631,069,308,387,708,379,659,102,698,308,513,617,510,394,
066,599,724,609,356,130,446,779,386,188,427,392,550,639,928,347,849,827,283,
135,748,489,153,387,654,209,002,968,137,925,606,704,365,331,504,205,026,612,
008,144,476,944,022,144,118,538,287,308,399,376,122,762,438,997,143,577,901,
576,028,415,711,929,198,769,970,341,305,922,421,597,979,120,352,495,862,304,
137,532,206,746,155,499,929,738,693,646,665,495,933,135,339,816,339,668,340,
106,599,129,010,226,416,395,192,810,769,582,851,398,516,216,400,242,112,125,
372,316,558,850,641,472,088,055,612,494,911,408,494,919,211,310,946,529,464,
819,010,079,934,046,589,167,583,085,040,857,342,794,462,415,164,955,645,627,
074,030,490,349,137,406,058,764,739,809,281,379,767,537,554,906,132,506,339,
381,304,716,554,179,872,598,961,582,060,363,387,050,296,924,600,789,674,500,
678,118,960,292,153,122,723,165,975,242,221,940,340,983,905,004,917,219,799,
521,412,161,867,279,375,193,363,940,176,736,935,327,753,659,772,368,172,749,
184,100,652,483,863,313,336,080,579,559,134,392,539,388,416,452,146,671,205,
501,822,222,324,710,463,986,135,600,618,126,391,302,209,961,844,163,320,090,
438,784,548,639,372,883,688,401,545,399,879,225,259,405,294,271,755,544,545,
378,984,434,409,199,240,883,822,650,716,704,685,509,653,920,665,815,900,567,
722,166,600,345,284,194,107,526,431,834,453,366,467,861,042,059,088,961,307,
116,583,788,662,029,917,553,018,085,859,193,129,332,166,265,317,018,318,378,
657,646,361,744,756,418,320,545,443,868,396,509,332,022,836,768,685,629,793,
822,794,185,645,397,421,718,669,448,440,224,028,507,380,629,221,185,748,019,
036,423,189,500,934,634,665,700,416,531,491,178,904,118,651,790,090,689,658,
724,990,663,707,656,424,380,763,561,870,254,337,221,964,862,832,209,797,898,
310,992,667,960,398,397,401,052,089,836,062,302,565,147,579,579,359,566,739,
414,457,172,488,302,437,540,588,505,286,963,519,513,099,802,583,381,330,489,
241,537,191,397,361,020,059,266,438,734,547,113,743,483,960,818,534,968,249,
095,712,838,063,616,255,931,802,357,517,538,897,682,295,113,785,274,534,071,
744,763,496,674,862,826,028,279,289,496,441,431,383,813,433,809,005,972,644,
675,337,301,844,828,784,959,586,769,031,389,713,402,802,687,465,622,090,804,
688,604,949,592,135,721,273,855,700,003,300,959,548,024,242,096,944,495,819,
713,386,291,575,577,267,751,301,926,357,196,037,297,090,383,548,012,282,334,
139,772,018,908,419,742,473,242,117,172,662,836,205,552,561,784,991,993,238,
773,524,247,711,831,961,629,854,405,509,268,790,963,950,074,731,705,096,625,
461,639,129,642,097,454,459,814,438,939,874,154,839,118,216,350,502,097,571,
228,603,889,406,711,243,223,370,595,130,565,322,805,889,937,496,106,548,310,
082,330,864,405,888,509,873,750,127,945,882,960,604,668,596,315,630,658,840,
515,392,425,947,887,179,946,010,340,721,722,178,225,339,862,820,834,884,657,
127,206,077,196,998,734,711,240,331,621,865,197,632,714,758,406,764,760,716,
798,168,570,961,416,601,949,894,342,003,531,019,195,318,878,771,173,801,489,
824,736,384,999,111,601,009,218,109,354,307,749,945,085,365,713,981,877,012,
234,122,418,704,076,124,653,987,270,397,571,710,700,456,965,630,245,606,867,
242,032,814,950,009,094,249,648,682,503,069,496,146,494,691,254,130,841,764,
473,613,317,920,969,333,181,113,473,854,871,984,268,114,781,317,181,580,132,
427,172,146,005,407,796,615,536,591,988,953,386,339,352,460,363,119,856,567,
049,586,009,817,029,694,127,986,418,681,002,182,958,256,461,034,277,903,922,
565,196,608,274,880,507,849,005,955,863,431,244,172,223,133,012,693,882,286,
951,311,821,812,438,357,352,781,909,034,765,940,574,797,657,908,473,436,404,
567,038,245,791,690,816,431,895,441,738,142,406,235,184,177,721,364,042,143,
944,778,276,816,706,518,199,204,702,812,820,586,146,607,870,785,268,978,072,
880,684,165,697,791,939,466,098,650,187,258,891,495,152,612,970,597,954,609,
135,750,012,395,983,999,636,391,831,556,208,383,004,659,302,052,299,597,879,
421,831,557,520,674,010,878,053,560,199,752,320,043,711,031,725,755,382,192,
320,651,783,795,748,750,933,429,090,686,919,380,914,141,412,369,718,684,411,
233,703,834,918,193,129,918,166,382,992,364,547,637,866,381,387,109,151,841,
306,146,041,513,786,358,809,062,521,968,657,624,938,453,469,466,705,287,320,
670,827,311,437,812,674,203,538,285,824,859,946,390,215,209,075,047,807,346,
349,249,721,022,640,955,033,591,695,161,358,416,385,876,869,322,395,012,990,
582,610,877,922,635,025,070,850,420,545,711,814,657,216,130,876,927,088,340,
620,548,561,920,201,047,805,599,127,698,995,704,529,367,211,494,339,206,089,
123,463,042,771,890,022,430,337,736,562,491,857,965,540,405,293,796,852,024,
387,553,645,118,869,404,516,392,849,467,078,639,453,488,509,979,751,246,662,
393,604,007,195,324,164,879,465,596,527,681,699,562,645,905,229,595,748,723,
427,928,775,536,438,281,550,693,731,334,024,367,493,523,277,185,233,326,655,
173,164,552,283,968,843,340,739,935,043,291,487,057,759,074,291,419,955,730,
264,382,542,553,999,721,131,611,459,943,274,109,772,401,577,243,151,007,672,
184,402,807,920,675,691,040,923,596,171,532,801,089,281,058,009,070,618,951,
389,935,957,818,996,235,889,712,861,418,573,544,090,447,302,149,067,603,309,
147,567,405,279,308,472,879,860,531,072,517,222,049,379,548,395,869,651,226,
755,678,271,997,573,348,146,157,547,054,672,175,057,641,923,769,422,988,398,
416,294,143,723,482,452,074,094,202,158,140,639,524,010,343,122,723,778,969,
749,043,508,149,067,911,432,139,284,975,739,955,806,322,964,396,389,885,517,
190,785,140,748,574,637,425,691,486,883,364,707,714,178,414,661,864,897,153,
884,645,835,710,596,724,944,181,680,149,289,540,728,167,372,578,138,965,162,
214,797,451,623,758,463,961,004,778,888,740,398,243,295,468,541,909,465,386,
990,240,947,494,521,138,666,299,359,548,350,085,627,548,617,475,662,521,382,
912,099,877,787,726,723,333,152,982,248,836,501,769,777,950,975,777,441,370,
163,507,294,770,225,408,818,983,781,777,213,964,738,978,686,183,089,078,645,
100,827,033,865,116,557,957,619,023,866,222,598,411,295,605,457,452,020,724,
985,840,460,290,292,618,179,652,953,809,703,589,945,089,148,244,836,002,515,
905,507,183,503,830,020,059,069,812,291,065,556,349,867,076,523,401,151,300,
181,169,137,454,549,607,146,741,542,906,202,151,668,405,514,817,080,811,236,
763,634,340,039,137,594,922,542,041,497,158,704,839,334,556,844,587,023,443,
007,383,465,054,943,168,364,507,163,857,115,957,830,013,111,240,226,421,236,
139,081,284,516,451,080,549,695,876,099,160,316,443,824,557,084,531,992,420,
338,282,468,831,932,722,934,095,241,458,415,360,736,512,398,647,783,272,789,
972,034,748,708,701,605,051,029,545,289,695,102,757,447,642,545,390,963,842,
913,865,864,607,508,800,607,875,331,235,635,188,237,668,512,850,858,317,170,
853,000,089,850,634,984,236,441,272,491,703,767,586,460,637,978,937,331,674,
631,935,816,828,517,150,299,302,442,668,427,061,336,002,605,317,677,688,496,
328,359,947,449,655,054,263,292,981,413,978,746,573,534,121,990,312,072,419,
843,391,354,782,990,266,690,255,122,392,974,237,535,595,786,101,500,754,684,
776,665,306,522,663,510,579,157,764,245,495,752,589,236,380,316,072,118,708,
633,184,412,728,623,816,290,014,279,347,018,255,710,035,787,484,933,119,008,
773,350,233,255,452,979,484,634,961,035,870,207,782,672,414,945,618,800,692,
727,421,388,198,852,169,608,251,865,135,960,482,167,926,519,795,406,638,757,
833,762,986,855,020,652,826,281,845,914,714,103,878,927,817,846,323,754,013,
868,928,784,944,518,175,555,371,869,803,348,334,417,546,840,172,695,383,853,
253,288,113,769,747,707,076,513,413,969,570,993,839,938,262,989,241,693,041,
818,225,569,746,463,285,590,830,260,857,123,437,010,268,393,387,669,493,591,
596,587,479,112,695,862,968,187,639,686,219,558,543,861,595,553,325,962,501,
978,646,037,918,042,387,362,455,344,579,581,744,075,537,315,189,765,080,357,
734,759,161,225,854,583,642,403,554,585,862,843,788,544,689,585,508,366,466,
478,770,246,967,491,440,300,915,131,335,997,358,922,673,312,748,238,904,673,
755,331,204,366,816,035,272,070,844,830,131,422,360,320,166,101,148,076,537,
023,008,458,260,924,983,301,551,352,814,777,450,446,425,167,494,501,159,698,
132,275,668,586,917,005,668,217,974,039,177,938,619,482,130,377,063,270,686,
988,669,830,249,941,273,741,357,686,363,907,355,223,933,717,058,008,026,473,
555,793,736,356,107,111,805,711,468,437,070,148,656,982,488,525,570,812,176,
987,109,488,433,655,090,408,546,521,902,271,862,923,378,905,830,933,630,803,
081,844,239,746,949,854,144,342,498,973,176,838,441,560,489,610,891,013,806,
157,135,991,809,057,331,200,703,982,439,359,539,806,624,343,207,490,091,087,
417,557,204,489,407,942,565,550,030,753,195,634,227,777,379,550,547,873,600,
577,746,789,639,875,083,453,481,491,288,736,600,641,667,018,095,767,919,014,
220,859,019,875,561,415,001,793,959,850,054,395,944,996,361,052,589,305,173,
079,304,061,935,614,121,994,433,057,232,622,199,086,424,323,957,296,826,975,
949,187,496,498,766,267,669,917,786,816,244,144,512,031,614,312,768,319,355,
483,782,104,545,277,447,346,834,851,391,592,693,372,841,259,169,154,239,679,
618,110,445,282,745,823,596,588,012,926,967,733,344,988,592,761,745,391,560,
504,064,561,491,669,030,788,829,863,154,489,431,355,066,432,912,880,714,934,
238,202,144,285,455,946,820,710,121,478,375,297,920,362,900,485,769,572,263,
521,079,234,785,085,527,608,277,297,912,185,825,341,289,720,805,635,854,756,
521,173,649,218,478,453,826,512,583,533,357,210,316,769,431,671,653,934,730,
346,558,610,080,986,281,262,008,502,714,861,421,032,865,934,206,524,890,869,
206,884,703,199,857,976,399,674,259,003,339,991,105,600,936,310,010,363,183,
726,587,506,702,443,663,730,734,937,167,399,524,450,553,908,656,157,262,358,
079,181,414,060,387,437,678,427,371,173,416,571,282,408,250,612,311,110,255,
288,879,847,904,017,272,720,384,658,482,263,507,212,584,028,718,738,631,062,
710,476,479,629,972,526,517,563,027,978,256,189,351,582,804,207,448,516,954,
683,022,570,144,517,171,012,374,853,099,026,765,345,559,349,701,171,168,325,
817,978,798,421,978,330,383,264,042,111,956,327,296,497,792,611,926,422,362,
541,476,610,796,120,072,348,032,210,242,109,647,115,400,054,619,052,016,297,
943,929,022,772,474,622,114,717,473,815,684,205,508,883,295,020,033,992,610,
178,956,646,546,659,074,835,778,580,163,917,168,130,862,941,442,251,865,677,
271,868,333,922,840,230,852,234,032,409,091,939,712,802,670,608,217,079,659,
790,453,869,255,429,739,819,228,511,566,148,587,550,152,819,876,593,861,501,
862,510,661,353,588,098,477,776,471,494,025,065,778,017,454,316,739,003,752,
181,115,437,457,813,685,111,218,992,189,584,923,316,279,261,267,006,169,907,
803,972,096,550,062,299,523,829,983,902,584,800,540,945,937,312,873,755,443,
905,670,284,139,735,607,525,958,477,578,174,852,638,819,685,648,222,104,933,
896,724,120,621,948,212,850,510,678,174,211,219,490,852,907,550,420,369,770,
347,306,831,784,899,151,775,051,149,164,672,165,909,640,925,842,626,631,747,
622,524,678,935,133,478,900,655,671,341,716,235,397,963,236,378,859,388,424,
060,559,360,668,455,452,670,964,357,398,584,171,640,784,986,344,145,296,065,
973,744,663,796,771,118,182,339,789,868,204,727,568,740,082,093,595,701,889,
460,348,839,625,669,303,831,220,475,236,203,267,976,899,871,639,508,084,117,
183,599,849,626,587,763,632,497,781,290,096,228,214,599,315,419,295,360,011,
084,345,368,952,664,331,833,189,733,910,325,428,600,053,435,676,282,893,853,
063,972,384,961,668,943,029,230,802,918,670,142,784,072,410,177,089,381,607,
883,952,249,003,188,432,090,370,896,443,887,702,423,193,834,574,199,614,985,
452,279,414,782,944,090,246,216,176,976,583,548,108,414,938,792,828,942,974,
896,419,781,397,237,874,878,762,439,524,062,785,362,793,273,949,920,892,791,
754,054,647,130,598,557,465,418,742,413,916,783,441,527,956,903,886,550,621,
888,698,766,609,534,288,416,707,628,338,708,328,284,007,371,201,565,440,562,
225,799,207,827,254,988,106,012,439,290,516,533,774,823,350,334,296,009,524,
928,194,570,437,939,385,355,842,161,922,060,974,085,539,583,413,325,716,018,
129,355,072,111,648,940,652,291,722,453,885,792,571,495,211,850,334,951,949,
159,128,869,031,288,803,855,261,460,400,249,563,311,230,656,635,890,773,248,
392,664,285,022,401,135,020,833,260,939,742,086,494,748,377,862,092,183,478,
315,418,375,963,908,802,212,652,538,978,609,994,041,708,137,371,411,743,989,
625,430,035,599,033,770,830,490,915,472,815,212,526,008,399,280,299,525,373,
014,206,565,480,336,093,541,073,026,777,970,226,438,373,068,382,728,820,611,
194,439,609,144,683,240,294,726,590,159,421,707,938,429,608,938,680,527,447,
844,002,259,629,212,968,118,845,538,869,331,638,037,602,667,206,087,906,558,
581,207,470,044,682,955,737,977,014,203,925,778,235,768,281,955,908,571,089,
330,738,526,909,181,433,287,564,018,977,924,303,797,977,770,044,116,140,371,
461,249,775,186,747,709,145,529,462,578,774,653,977,060,325,664,686,287,557,
955,748,808,653,901,454,361,240,636,417,402,634,554,053,904,645,666,749,962,
258,189,375,690,209,242,318,170,584,745,978,035,963,114,687,426,719,635,743,
958,685,403,262,596,552,719,328,763,288,243,296,835,646,564,384,056,623,081,
106,847,219,811,586,594,411,025,666,272,039,674,252,894,583,155,538,772,339,
161,728,666,817,654,280,818,995,669,830,122,426,101,280,793,824,707,648,574,
395,523,811,175,968,227,021,146,880,579,989,008,825,730,429,025,603,103,125,
917,046,324,530,168,454,749,374,889,019,912,615,501,300,723,683,018,306,577,
973,320,443,696,993,675,353,703,785,725,554,189,368,300,524,590,644,715,685,
660,218,825,747,810,588,614,122,048,373,544,587,851,395,071,569,487,408,936,
996,671,264,806,099,649,963,496,438,710,073,678,789,120,232,638,557,133,041,
487,142,726,639,800,455,211,086,863,900,416,681,606,101,269,032,039,299,557,
018,350,554,755,201,560,436,529,459,631,012,478,507,135,944,830,050,196,138,
996,311,383,499,994,189,067,185,532,603,491,403,880,464,459,534,577,380,745,
796,984,831,560,696,571,513,236,313,085,109,936,955,644,074,669,210,368,646,
952,991,553,608,203,157,553,457,159,025,408,719,485,545,209,435,515,243,497,
044,510,947,201,704,177,370,367,660,194,525,383,829,510,108,253,235,900,478,
800,800,048,003,128,728,950,473,266,987,640,363,992,932,957,842,008,652,477,
631,543,813,120,059,291,898,584,958,662,390,445,923,772,834,416,611,440,750,
989,122,970,571,918,837,890,250,227,508,815,563,089,950,538,425,344,032,533,
233,101,648,169,554,118,967,547,283,373,407,824,992,761,304,034,167,828,622,
024,518,320,960,845,957,948,057,478,691,051,910,532,979,492,292,048,063,692,
722,358,688,729,590,762,284,624,795,953,483,013,115,889,889,242,307,989,299,
745,315,631,449,016,475,234,175,179,267,438,429,658,543,821,361,162,332,876,
646,052,408,299,080,971,197,817,033,610,980,614,915,228,176,345,198,989,165,
517,561,412,864,295,310,707,685,802,445,325,746,773,244,276,901,512,268,099,
204,130,806,677,778,857,996,180,027,302,912,253,994,264,286,567,142,362,809,
280,540,438,686,585,038,989,250,755,515,341,162,440,170,926,376,195,902,792,
791,913,558,930,824,681,721,851,480,409,651,942,346,781,516,175,744,599,904,
495,524,064,488,457,047,430,638,026,177,124,180,894,790,740,103,642,176,205,
631,383,823,350,103,842,770,075,266,374,834,305,033,977,755,011,722,902,499,
685,233,675,147,192,277,787,387,061,701,628,724,899,559,738,791,816,555,664,
123,452,247,307,802,769,390,040,703,330,890,333,850,214,226,616,658,358,455,
518,573,436,474,393,514,315,959,462,108,827,357,417,755,079,508,819,482,867,
055,231,718,282,296,113,843,157,887,402,740,671,977,201,855,668,584,759,126,
103,882,840,432,851,450,840,631,961,932,796,567,428,938,940,374,210,043,322,
626,338,898,217,984,714,150,686,978,037,719,292,349,442,010,885,245,254,815,
594,234,798,105,888,050,451,242,631,275,799,193,673,700,459,148,058,889,070,
275,058,137,751,291,967,238,622,952,783,113,327,420,638,030,148,424,730,223,
800,559,180,505,374,841,518,470,155,498,049,979,994,494,028,551,707,802,154,
997,248,861,040,515,722,584,901,659,639,121,749,049,456,523,061,058,359,987,
832,447,324,872,530,599,207,027,681,490,538,760,682,309,204,143,792,061,902,
129,530,015,532,167,807,408,661,396,353,054,208,093,692,430,574,150,066,791,
050,745,508,052,453,876,058,403,826,424,332,941,871,898,108,415,844,904,280,
721,955,437,182,342,565,666,643,349,915,593,842,035,988,787,935,838,097,583,
088,989,436,519,290,700,886,493,475,380,624,471,314,459,812,004,329,605,677,
775,107,647,710,708,379,487,643,974,346,446,296,054,093,088,148,537,024,256,
822,869,663,165,457,764,799,873,015,661,714,376,043,816,811,137,675,485,289,
342,491,838,580,176,459,525,432,441,860,585,734,081,557,527,867,479,850,560,
132,377,901,354,051,624,365,470,919,882,550,991,434,830,579,597,946,717,954,
020,929,073,469,099,855,146,892,204,558,163,055,225,516,496,362,488,286,468,
649,097,130,381,657,122,206,051,407,698,165,443,628,661,105,880,486,434,586,
695,614,369,867,696,703,673,429,875,550,805,287,398,623,654,644,026,444,486,
634,920,081,722,249,528,883,921,543,530,507,833,667,231,416,195,869,183,656,
781,369,270,759,726,674,498,995,810,308,375,653,381,400,944,941,673,750,374,
122,314,685,952,979,363,183,441,645,462,998,854,163,550,527,160,361,129,314,
176,589,228,248,145,664,914,074,301,966,453,832,761,626,187,640,033,084,574,
498,164,931,461,664,165,703,262,244,879,990,985,580,373,546,037,744,943,034,
097,262,306,588,553,020,263,541,392,123,753,134,536,266,689,477,189,323,216,
616,697,957,652,339,462,741,276,086,497,249,444,730,447,678,028,123,211,034,
839,020,274,567,820,096,750,342,953,727,349,544,048,399,780,654,136,288,913,
461,732,448,457,614,679,589,825,177,969,615,451,470,801,331,924,693,035,087,
629,767,924,094,273,928,774,035,762,170,272,805,577,051,595,572,141,310,020,
695,986,750,832,397,188,533,199,600,265,566,924,067,958,892,473,823,022,449,
075,175,893,693,704,187,630,485,688,029,256,276,406,640,738,825,065,712,876,
962,519,436,167,514,562,956,419,743,520,229,584,656,215,591,269,441,738,097,
747,133,070,378,523,579,171,772,938,947,879,397,294,062,569,970,221,395,591,
573,180,337,756,714,335,030,005,675,326,235,330,366,822,850,915,330,071,692,
922,209,082,194,024,345,488,358,550,003,580,578,770,940,046,461,441,100,381,
168,180,676,524,943,289,799,401,503,820,327,759,753,744,578,227,025,618,156,
199,782,121,331,568,595,628,121,220,939,421,336,074,313,666,588,825,537,208,
026,037,799,473,541,377,336,885,242,275,167,165,554,895,012,580,125,975,547,
912,299,062,666,975,273,513,916,796,649,744,281,353,102,866,515,600,837,049,
921,342,296,639,575,275,707,957,784,863,312,124,701,931,217,589,911,398,795,
553,998,755,391,004,127,829,355,599,367,878,903,782,577,913,680,045,269,924,
798,022,326,764,980,466,862,427,010,070,026,305,453,012,630,809,193,656,231,
228,260,630,892,074,406,914,671,705,291,763,200,507,349,246,739,282,035,237,
285,745,398,835,918,003,729,635,839,499,172,577,129,346,310,862,770,524,766,
582,858,855,656,287,631,439,677,126,633,862,334,394,817,910,436,678,264,161,
373,688,564,106,840,954,552,438,939,926,514,743,840,866,133,662,426,067,211,
829,529,507,028,162,263,676,279,939,060,249,017,633,742,764,000,434,081,709,
121,679,669,434,815,836,085,927,747,631,876,096,439,888,148,987,110,135,158,
846,497,874,901,740,418,529,708,227,195,743,180,732,339,246,710,778,896,599,
345,009,000,065,418,250,497,389,151,135,753,112,681,159,759,609,351,922,740,
001,416,209,926,069,009,118,198,422,900,906,843,849,795,257,332,999,361,396,
379,293,806,061,090,312,411,002,983,513,540,387,668,948,952,681,705,061,088,
354,226,989,775,292,937,250,014,950,435,402,777,502,689,025,026,168,800,189,
606,881,881,056,365,593,191,013,799,965,670,143,963,982,781,695,857,390,133,
062,282,886,885,051,108,455,656,851,979,339,145,022,233,174,183,216,246,267,
902,086,911,962,762,580,130,103,467,334,749,988,868,174,797,960,712,617,552,
709,391,385,145,548,585,744,174,182,123,635,115,501,541,904,784,030,892,262,
485,242,706,135,400,873,713,262,873,827,585,485,137,564,500,932,225,391,560,
889,051,721,551,415,175,217,042,423,175,560,962,854,877,277,609,109,755,889,
720,850,527,953,724,355,153,473,728,835,161,765,929,796,744,215,244,488,809,
925,129,448,331,848,997,311,692,507,665,989,482,294,647,496,228,434,456,262,
541,870,621,521,011,685,394,109,344,445,129,278,464,295,132,748,844,661,180,
523,611,233,007,928,579,521,122,749,232,405,652,611,922,125,380,585,136,744,
362,237,171,336,506,224,969,724,942,954,366,704,516,552,620,717,438,457,435,
513,715,874,642,600,438,670,112,361,793,203,665,511,410,494,257,972,744,984,
640,745,075,154,030,763,332,064,762,255,220,938,675,919,989,018,505,940,061,
714,435,808,655,322,304,355,754,796,058,421,236,657,924,758,334,256,016,191,
579,778,042,432,757,136,288,009,925,919,895,566,744,120,581,697,651,783,868,
814,513,382,011,518,450,363,754,533,296,886,055,642,240,431,245,021,968,700,
554,975,880,762,561,704,124,716,365,353,634,501,177,059,877,197,916,116,573,
340,176,077,262,392,254,702,097,936,448,930,906,815,093,325,458,431,917,359,
598,883,431,472,211,082,383,030,414,630,953,436,706,152,582,812,364,815,384,
878,286,953,905,851,242,082,623,142,735,040,194,199,588,767,387,127,107,499,
137,580,551,167,894,717,060,591,833,388,369,860,973,700,905,813,143,265,500,
428,995,817,423,321,143,350,861,981,001,620,484,484,050,917,824,295,566,714,
382,697,539,213,208,261,037,942,366,580,552,301,450,881,193,414,604,485,208,
896,592,429,300,716,158,499,247,348,322,764,304,784,174,979,924,272,548,802,
809,145,494,503,809,064,150,455,272,854,921,070,913,711,796,971,901,590,412,
267,756,438,447,933,510,592,871,161,101,554,063,449,288,743,020,788,785,959,
914,642,681,161,089,730,397,878,571,855,949,758,718,406,418,292,367,896,464,
431,863,318,799,171,711,545,494,041,470,746,858,116,817,240,425,574,374,642,
438,559,204,388,120,260,871,237,726,938,012,017,295,381,073,626,371,699,259,
412,646,830,172,782,785,949,363,647,647,289,136,326,182,047,108,627,740,109,
460,042,092,514,743,945,275,042,329,726,303,818,020,233,167,711,374,268,405,
846,780,628,022,895,255,761,222,445,462,562,941,293,689,643,965,071,895,397,
818,342,814,271,966,121,692,699,209,556,814,800,538,446,354,060,526,085,161,
932,784,814,837,528,281,957,881,285,585,678,147,779,569,461,238,407,312,498,
431,434,577,415,473,456,242,352,189,052,600,798,081,709,681,464,717,382,269,
467,795,172,817,179,558,503,728,958,671,370,147,636,738,392,397,058,174,770,
603,840,218,742,384,095,963,682,815,756,725,111,312,778,510,212,674,520,964,
357,501,095,695,272,203,774,369,749,703,087,747,137,486,310,964,745,662,995,
277,308,947,224,764,149,086,502,064,786,867,565,884,815,803,404,188,777,265,
460,078,121,581,139,569,517,799,206,648,881,967,058,283,377,383,091,611,563,
948,931,484,370,080,136,837,415,362,724,472,567,557,506,391,726,954,521,825,
575,069,466,432,734,797,412,756,873,146,785,176,611,133,225,240,224,626,631,
186,785,134,722,306,759,916,843,121,400,106,689,776,116,388,390,935,130,405,
482,358,154,884,191,190,950,992,264,316,527,781,671,490,251,427,479,858,979,
471,593,401,165,768,167,856,365,837,312,666,477,819,546,223,671,594,512,429,
191,888,179,435,104,750,035,272,115,844,391,413,596,767,192,389,000,774,058,
370,498,401,517,488,177,573,450,536,735,685,029,648,056,103,657,517,579,081,
415,242,779,864,629,525,521,406,505,091,010,305,296,953,402,079,566,663,145,
985,833,614,625,978,130,042,290,978,678,851,215,288,635,283,852,859,167,787,
763,306,175,612,614,571,485,991,537,253,287,209,113,646,734,964,714,895,987,
119,269,733,019,036,609,340,810,419,862,238,471,464,861,715,129,566,596,024,
931,740,330,587,832,280,622,966,218,712,592,872,859,784,711,096,999,794,467,
903,692,218,553,552,431,680,932,259,158,994,008,973,277,520,366,628,133,563,
218,376,132,829,468,735,181,341,236,486,217,408,676,746,071,759,505,515,366,
816,631,860,977,569,154,330,970,305,968,731,730,910,042,712,273,928,076,233,
582,181,439,819,910,620,217,737,806,857,454,123,655,890,138,316,908,883,298,
207,518,153,150,031,932,028,311,983,147,875,083,685,907,822,799,212,187,486,
471,826,573,350,672,593,119,527,911,374,394,162,786,112,287,464,345,729,951,
948,640,258,092,399,098,347,824,443,014,562,143,991,482,994,612,531,910,011,
451,427,245,154,088,312,353,342,610,058,620,337,627,304,446,101,689,390,942,
441,290,716,549,737,771,075,610,214,827,248,181,216,219,952,374,572,711,086,
782,294,787,012,983,558,990,139,355,750,056,963,190,838,968,031,918,073,659,
953,592,868,050,464,909,590,037,360,456,613,800,975,528,774,206,382,714,085,
897,376,855,055,212,797,123,506,519,980,559,548,461,509,538,067,460,321,702,
006,941,930,643,127,251,050,423,976,256,485,762,318,668,066,665,239,906,801,
865,559,691,162,561,417,960,061,405,342,887,694,938,429,681,224,513,874,616,
037,754,751,700,970,188,901,497,199,648,495,942,614,563,190,382,610,010,587,
123,582,694,687,096,335,817,432,474,859,991,694,400,268,301,089,920,597,427,
561,378,227,806,842,020,963,951,574,802,947,584,740,877,550,482,721,384,825,
536,993,201,017,536,121,505,408,799,192,001,865,766,305,699,569,049,082,901,
696,381,964,572,738,214,404,373,449,766,117,457,447,123,326,648,735,379,040,
539,277,645,275,712,662,248,055,942,016,544,075,089,887,004,785,553,678,452,
851,086,709,222,280,943,104,628,209,752,724,419,528,378,887,387,462,554,674,
714,332,801,033,879,843,325,521,365,484,474,664,386,609,171,481,114,041,125,
279,013,107,689,097,756,322,406,668,641,831,578,606,514,560,575,655,737,638,
153,954,745,426,962,508,186,596,587,587,581,288,782,663,425,868,542,814,362,
514,807,358,325,075,490,383,473,483,685,874,441,742,112,014,752,251,309,258,
902,012,977,652,219,751,525,520,059,999,268,692,765,288,081,300,919,008,666,
367,591,675,396,550,541,371,066,677,075,265,310,962,806,566,595,155,788,070,
887,764,472,893,190,712,047,941,080,957,963,200,296,753,414,162,385,978,222,
176,644,012,037,862,588,722,725,515,173,238,479,100,145,586,467,976,043,063,
673,357,690,780,052,955,807,096,513,474,774,940,663,901,527,066,820,085,633,
213,455,750,734,401,670,844,456,948,636,017,805,357,679,178,179,297,682,663,
248,678,578,528,897,764,181,028,158,032,236,474,574,763,267,438,378,501,213,
057,580,088,921,190,290,474,108,462,411,451,845,958,133,968,933,138,745,918,
655,630,786,930,387,091,862,875,751,003,013,508,340,254,742,370,484,787,940,
931,387,015,352,640,925,688,819,686,192,709,007,693,349,559,089,995,312,753,
448,707,176,873,552,028,193,643,830,940,038,476,203,133,162,784,994,001,729,
969,579,101,847,167,947,376,440,523,438,618,829,752,211,245,026,880,645,814,
913,464,656,724,414,714,569,188,426,470,250,310,912,116,602,076,395,724,337,
048,470,187,586,757,207,493,627,780,747,967,793,022,640,074,559,192,503,712,
318,886,696,911,412,986,836,032,361,266,052,515,929,616,550,312,302,086,917,
449,029,524,629,680,013,127,757,494,910,439,924,810,624,109,527,512,544,684,
116,089,997,487,597,567,149,100,856,155,882,341,310,133,804,237,824,474,807,
053,007,854,026,905,086,696,970,298,771,942,550,567,732,311,692,253,437,086,
664,289,225,100,181,171,592,132,876,019,566,582,448,804,837,720,837,986,044,
737,331,450,412,347,752,376,555,687,409,426,281,153,635,104,800,434,224,237,
112,542,585,077,157,126,795,085,537,524,062,929,495,388,543,218,737,670,969,
859,206,074,562,874,597,613,790,643,154,822,258,597,928,943,389,083,567,325,
091,939,737,395,726,453,779,936,730,683,447,670,122,295,950,369,122,625,020,
549,429,321,509,750,375,750,771,458,144,493,855,959,391,180,977,173,194,634,
931,766,582,611,774,480,516,044,796,904,522,161,791,608,283,820,244,722,342,
238,619,603,795,831,831,303,305,224,172,842,453,512,922,317,057,757,142,784,
064,379,435,871,301,258,643,860,134,772,129,717,963,313,830,615,285,835,555,
931,313,808,328,753,814,904,707,492,742,332,826,306,015,525,543,928,377,603,
855,756,413,913,180,010,221,837,603,790,500,845,534,443,729,068,374,630,550,
757,610,749,223,563,363,507,733,771,970,279,607,328,225,712,711,359,562,339,
413,980,194,019,432,601,125,201,478,793,154,554,785,644,102,886,014,148,923,
004,800,080,499,444,543,398,181,453,827,578,810,388,696,805,374,268,995,304,
132,423,765,581,004,536,950,216,527,442,197,209,391,824,696,685,856,385,647,
453,318,406,621,608,518,562,568,809,595,724,001,544,677,742,764,380,182,567,
565,968,965,467,987,994,407,587,623,692,519,320,487,280,550,996,631,077,371,
900,742,227,334,993,296,784,472,023,197,189,395,195,921,451,583,390,927,602,
510,376,194,778,970,441,830,109,707,074,059,003,464,661,160,027,766,687,770,
564,697,157,550,364,734,587,732,028,259,784,832,610,719,900,619,215,497,885,
400,154,077,313,540,947,579,717,984,507,301,650,626,261,041,693,039,856,267,
621,255,898,396,573,702,149,119,391,418,721,479,496,311,697,320,514,766,970,
007,328,355,626,949,931,721,967,837,540,338,898,464,603,593,325,073,972,496,
791,578,003,963,609,674,557,235,361,668,139,896,392,399,348,902,538,617,343,
350,737,663,771,035,292,578,093,854,747,435,869,759,609,791,945,875,593,547,
930,801,803,477,679,486,395,985,719,015,573,905,619,571,264,236,436,910,420,
313,174,620,007,430,493,415,445,746,808,432,966,169,148,873,384,257,856,264,
309,744,689,014,527,813,569,547,106,501,603,226,677,425,675,538,187,357,781,
681,007,053,052,319,321,518,302,307,071,240,776,432,073,246,160,520,016,397,
959,179,042,267,766,804,202,154,468,663,773,593,776,747,980,662,778,875,580,
213,896,305,032,018,611,991,281,630,558,621,286,415,872,977,344,460,993,766,
410,455,970,780,312,762,472,025,633,191,489,641,228,961,774,328,902,793,558,
231,102,023,918,903,876,416,044,874,329,558,180,304,543,423,303,896,625,984,
468,025,910,012,473,177,565,702,458,539,197,959,715,337,497,970,961,370,119,
343,625,820,454,465,510,304,793,017,814,829,602,877,267,389,018,378,953,799,
662,781,310,209,800,000,015,641,022,505,228,989,556,286,430,872,317,090,798,
819,130,388,911,625,987,464,115,489,409,291,886,734,577,170,539,982,621,793,
413,306,879,212,603,611,632,703,522,399,432,427,714,222,736,125,991,131,617,
116,476,620,690,638,113,644,145,992,482,820,146,393,203,960,475,377,378,024,
217,159,379,962,805,106,804,940,042,748,699,831,272,032,806,525,044,046,375,
718,403,745,646,412,934,797,019,359,934,609,091,463,521,671,844,391,199,267,
048,794,576,216,123,988,550,147,518,202,249,347,817,429,973,883,490,243,885,
094,552,781,618,912,232,287,901,010,188,132,276,658,177,995,627,508,409,581,
182,486,654,799,464,264,637,008,934,772,035,182,927,039,444,753,008,200,961,
792,118,181,810,939,544,282,840,132,547,335,694,923,940,477,517,399,771,394,
861,725,879,242,688,215,494,738,317,938,763,014,038,467,752,192,783,669,831,
832,486,842,504,220,941,212,338,336,136,410,188,282,968,482,079,937,003,699,
671,715,753,648,656,318,834,748,361,667,794,067,033,328,694,269,835,702,765,
951,136,152,879,950,994,202,571,427,837,491,381,571,288,310,865,560,070,190,
165,945,846,679,969,200,307,661,568,504,094,988,520,431,147,736,194,706,735,
961,166,578,750,290,557,263,581,606,761,686,047,193,026,131,805,692,100,762,
158,823,493,946,717,230,054,942,771,021,429,289,602,715,505,088,583,975,492,
014,382,462,774,337,592,475,252,665,261,886,395,444,128,758,935,356,122,577,
683,077,770,369,612,806,218,864,009,355,194,925,869,878,411,935,622,454,514,
357,004,646,619,893,397,465,179,244,001,184,268,545,701,918,052,678,281,461,
123,500,824,161,901,047,904,297,215,880,755,793,693,067,908,629,127,999,754,
360,510,023,897,710,593,327,624,072,414,518,605,296,579,302,559,629,846,399,
673,753,790,283,452,874,978,911,506,336,704,709,771,488,162,822,614,991,804,
678,152,266,166,704,569,498,133,007,256,760,073,174,024,319,312,791,603,086,
763,382,382,218,626,950,926,538,204,350,864,829,309,525,800,101,595,816,104,
236,668,777,600,538,490,633,518,816,702,811,731,112,230,109,447,387,086,569,
696,237,893,509,599,857,920,503,178,709,866,436,424,995,125,372,104,784,318,
833,223,723,761,702,027,881,385,693,791,364,616,093,338,298,901,001,885,130,
936,235,637,501,139,018,280,208,840,697,393,396,381,416,991,504,097,269,890,
477,953,090,349,355,841,721,674,402,943,317,481,170,222,034,077,081,697,127,
846,675,946,134,274,460,469,056,428,839,281,511,690,133,721,402,686,029,709,
833,819,724,922,005,655,748,021,864,651,777,430,011,656,297,567,685,329,246,
403,202,356,650,123,853,456,560,563,938,079,113,927,878,085,615,817,016,621,
057,518,114,140,149,242,802,190,475,258,196,287,551,288,817,487,838,614,080,
004,390,103,669,879,935,512,087,293,794,790,512,085,766,606,970,752,747,181,
947,035,324,884,349,703,821,702,572,777,127,357,446,804,394,734,010,438,729,
238,165,826,230,469,780,781,074,031,935,404,202,323,828,996,308,722,020,598,
886,308,301,059,344,743,938,960,951,754,129,664,349,521,549,131,978,804,267,
410,758,717,610,674,102,160,252,738,118,022,874,368,408,977,579,809,669,131,
163,720,157,963,410,929,713,104,167,389,281,285,805,953,405,785,067,085,413,
988,706,819,704,950,407,817,632,395,233,868,006,080,993,735,653,268,483,292,
728,177,834,893,721,730,728,795,785,225,419,608,322,073,983,010,842,833,146,
566,464,561,684,669,767,839,521,285,670,623,460,258,788,201,165,212,222,383,
126,166,415,202,238,263,816,303,038,786,416,256,315,328,019,944,551,827,891,
912,618,458,344,095,799,500,289,777,985,378,413,532,156,188,420,590,064,996,
435,232,931,864,159,888,617,904,329,620,276,048,258,782,350,913,969,547,513,
236,033,142,528,821,735,795,800,180,258,371,159,760,082,610,168,705,050,753,
310,785,579,810,124,878,112,226,214,058,167,125,648,080,741,555,688,676,424,
105,506,238,293,642,181,668,346,764,300,420,528,458,644,012,002,123,939,510,
757,225,628,073,070,739,587,352,850,210,704,413,578,664,489,645,033,360,680,
637,091,274,940,716,735,016,783,957,100,350,457,955,404,868,513,580,711,339,
748,933,372,960,545,817,872,570,344,776,640,028,529,073,110,217,955,237,362,
662,818,845,823,219,972,457,841,139,831,528,278,885,596,268,204,866,757,883,
510,111,615,697,971,569,216,250,402,771,868,249,879,960,856,410,773,804,041,
299,164,934,044,204,740,704,201,453,015,157,123,739,632,953,384,276,195,701,
347,344,786,541,897,301,900,025,971,602,825,524,436,127,149,207,142,240,596,
589,190,204,399,491,760,235,087,986,339,690,728,007,597,217,232,224,807,630,
433,958,250,401,036,868,570,898,170,704,991,789,696,087,618,816,002,952,802,
233,313,943,427,150,142,027,886,113,633,153,334,779,803,506,845,281,061,860,
267,817,034,086,851,374,373,679,366,465,331,840,005,266,000,647,809,921,617,
267,256,993,350,814,283,905,091,872,817,370,929,831,230,911,065,907,835,407,
719,195,880,449,554,237,270,427,204,735,381,846,864,550,899,457,543,671,831,
002,885,172,762,135,601,592,439,031,066,195,993,449,518,733,710,722,475,332,
367,352,911,476,499,225,649,448,215,132,875,429,388,280,883,323,452,322,289,
170,452,537,712,356,824,558,764,332,468,469,768,456,044,168,256,455,494,345,
072,556,010,012,185,758,545,199,678,717,564,812,589,402,793,881,110,506,987,
272,902,399,338,568,065,183,757,281,738,089,724,148,782,874,917,462,478,685,
403,299,523,506,844,523,021,477,163,433,683,488,946,989,706,430,406,954,116,
943,688,628,947,089,618,930,822,897,501,948,592,797,119,260,312,503,167,344,
088,797,096,148,431,294,657,767,696,002,779,946,213,840,607,187,307,159,356,
429,983,960,752,273,400,969,791,432,027,689,287,601,825,756,238,341,772,529,
977,882,608,712,348,703,568,846,122,222,674,404,124,885,907,362,383,815,113,
452,304,887,022,388,389,328,137,669,906,010,784,179,822,431,484,348,231,870,
245,169,075,213,267,209,675,815,880,173,128,793,601,524,927,262,399,982,700,
607,199,900,737,269,208,631,217,376,562,003,439,774,642,932,204,810,207,106,
299,373,589,316,788,822,723,816,421,149,623,788,529,009,276,626,442,409,333,
346,315,441,185,959,965,433,404,385,150,000,202,791,791,647,544,244,308,204,
899,577,477,016,778,865,847,890,574,012,105,668,171,324,195,441,348,824,884,
867,431,255,681,327,999,822,175,708,554,459,805,875,127,176,737,120,493,196,
033,046,722,655,650,456,667,831,588,595,534,473,977,423,244,669,823,085,300,
454,941,760,305,245,192,943,423,043,424,333,563,931,725,238,298,847,791,352,
382,250,419,493,676,681,964,720,999,646,260,650,682,235,558,496,487,189,963,
581,181,725,661,679,592,320,075,929,846,477,004,847,706,763,814,923,709,860,
248,578,587,193,194,755,097,735,444,163,267,976,156,615,207,502,521,619,516,
199,941,242,988,821,416,525,095,315,687,404,336,206,985,289,439,298,170,939,
794,501,999,200,332,367,589,293,427,400,858,141,905,820,580,629,374,921,896,
109,954,923,844,410,337,789,801,158,900,558,499,142,145,717,368,798,995,404,
296,217,381,233,377,439,386,887,733,180,559,968,863,992,518,848,794,394,691,
704,358,728,281,154,524,923,469,032,519,436,191,272,129,151,237,211,101,680,
988,672,209,488,719,706,511,537,709,313,702,309,270,639,283,764,747,569,608,
776,099,202,560,430,416,294,707,240,971,804,647,431,945,490,541,624,135,406,
681,008,490,426,345,901,112,670,618,326,444,211,186,345,285,069,804,551,832,
588,865,907,560,662,909,517,663,685,140,805,544,513,873,153,661,951,827,450,
502,765,281,917,553,560,484,793,141,386,915,269,875,072,600,325,887,359,844,
873,873,011,252,153,580,069,099,243,160,044,158,497,934,037,342,938,139,088,
133,842,377,652,953,081,685,890,267,148,066,412,967,827,726,349,086,780,852,
843,306,296,047,004,426,145,395,827,049,229,938,782,799,634,197,153,923,426,
961,682,612,435,190,149,520,609,472,200,630,129,318,650,714,223,037,880,151,
514,232,798,081,616,683,241,497,703,425,511,815,885,565,947,577,486,650,665,
985,588,642,132,837,869,132,220,678,406,011,324,722,671,006,648,607,924,723,
143,101,654,669,702,047,644,195,932,381,881,234,598,661,386,389,282,270,537,
106,060,357,217,492,970,860,292,086,404,619,683,740,504,011,717,265,196,801,
602,541,173,291,667,420,952,428,823,422,080,387,331,105,883,783,305,368,198,
933,093,158,854,240,970,879,199,413,872,290,299,341,056,339,216,028,224,755,
085,404,962,416,556,590,785,486,232,713,437,878,693,947,915,747,343,829,137,
880,862,190,281,769,567,948,351,233,292,768,585,631,762,497,426,558,958,891,
165,804,050,146,598,536,085,077,246,788,075,501,593,955,584,650,762,794,359,
900,526,692,373,542,477,397,487,817,356,909,220,008,054,600,092,575,893,515,
515,101,581,942,432,331,411,352,407,609,910,216,702,285,470,222,416,515,118,
130,909,857,361,140,065,825,998,005,747,397,847,650,499,851,938,141,633,367,
868,835,317,190,456,024,330,921,346,217,586,453,787,566,404,937,780,997,129,
997,249,343,658,101,092,343,523,607,575,914,944,725,490,313,110,598,245,207,
310,908,034,367,766,779,556,147,618,134,476,756,618,031,505,146,125,412,848,
366,253,343,892,982,023,156,381,597,146,617,427,805,738,041,852,328,087,329,
460,771,471,188,012,349,627,424,791,859,986,837,631,814,713,786,461,566,660,
433,015,319,349,460,844,541,388,451,464,212,111,444,985,775,390,653,189,016,
076,932,929,268,931,905,012,854,348,647,009,841,832,070,431,893,714,212,047,
892,503,197,750,910,625,718,705,869,300,004,887,045,635,114,194,443,234,027,
951,559,568,580,264,781,914,024,885,147,775,493,445,274,589,020,955,240,210,
454,836,222,890,897,423,103,588,637,515,558,211,079,598,507,861,666,051,141,
866,858,908,773,736,101,750,570,840,631,849,088,353,379,885,995,779,175,153,
375,920,176,299,534,345,438,431,933,254,488,412,281,528,634,491,236,253,165,
984,923,900,210,988,925,955,890,147,446,543,975,315,940,089,518,260,107,472,
831,384,799,149,558,099,107,484,952,038,948,913,540,749,698,395,165,620,355,
319,054,345,077,792,724,570,628,677,270,655,932,432,295,675,210,290,931,744,
390,069,428,881,412,566,950,408,708,832,420,469,482,181,055,135,707,019,197,
665,222,660,702,834,198,991,951,563,982,775,580,599,689,607,101,270,662,197,
120,089,266,915,102,728,275,341,290,903,837,759,452,675,017,686,229,231,798,
386,851,134,085,814,520,614,229,191,572,166,483,074,665,390,205,038,497,693,
239,944,967,035,905,871,335,881,611,124,948,700,084,910,138,492,316,669,558,
059,093,758,116,712,681,594,667,406,209,821,748,135,547,974,417,461,541,702,
196,676,085,979,881,992,606,717,505,990,949,978,355,708,034,284,948,671,139,
976,912,823,833,008,200,279,191,375,451,204,645,317,037,610,937,223,303,345,
446,040,774,325,576,788,170,813,390,528,091,143,182,144,119,214,898,454,772,
270,967,554,290,192,744,268,530,431,642,521,715,485,930,340,591,475,896,137,
620,486,914,672,108,330,495,816,932,800,928,800,833,925,051,788,226,419,161,
664,790,157,036,752,346,038,465,052,172,223,403,468,101,093,642,493,301,102,
002,448,935,101,139,031,759,586,297,204,183,724,505,835,069,486,417,137,200,
545,455,944,394,970,984,760,942,414,849,804,394,120,203,485,572,572,321,484,
265,953,930,510,915,523,375,767,659,021,837,364,466,010,722,234,548,781,327,
358,717,077,953,396,854,785,707,810,041,377,230,863,447,651,763,197,887,777,
031,927,512,116,340,592,122,311,939,835,666,406,159,329,523,820,779,721,385,
918,922,503,905,968,442,697,709,211,648,594,041,979,789,598,660,625,017,107,
670,000,375,590,129,603,818,070,429,755,461,515,182,136,736,018,037,927,174,
038,945,951,268,468,552,928,081,318,435,172,219,590,201,422,943,440,802,341,
862,641,021,422,075,040,947,016,485,931,013,371,099,884,153,679,587,595,435,
898,838,446,362,083,534,514,490,541,860,622,464,425,714,837,562,745,895,690,
158,720,648,214,064,159,465,034,015,340,731,209,912,812,136,112,678,320,957,
798,707,494,043,064,885,020,144,945,994,668,161,184,846,869,530,460,463,179,
078,310,928,509,656,625,333,900,873,511,165,649,241,293,950,795,566,879,118,
579,609,040,403,967,619,708,337,497,927,236,906,549,876,856,249,938,704,247,
088,469,894,314,723,392,384,991,296,154,719,316,726,467,784,953,874,717,407,
709,560,487,072,663,248,603,813,496,915,310,688,685,827,832,407,775,606,988,
523,353,915,945,332,878,095,583,705,564,866,535,436,900,953,212,739,589,743,
196,090,164,959,444,990,572,985,271,448,597,348,564,410,230,464,832,065,490,
110,466,721,643,768,336,956,099,950,841,585,706,427,056,513,158,216,644,633,
971,274,449,466,813,442,058,056,549,131,542,369,882,881,791,172,805,814,853,
415,305,807,504,114,990,199,731,182,051,820,665,884,434,158,724,438,997,482,
560,192,157,232,829,430,797,175,297,986,485,935,758,283,319,205,243,902,503,
397,316,696,178,628,530,909,309,411,606,132,350,001,852,045,643,327,441,633,
550,609,726,590,934,586,351,810,211,745,846,396,007,486,071,123,266,687,740,
638,627,059,188,396,342,561,061,410,307,448,723,756,106,213,608,037,546,585,
989,475,985,591,804,557,570,504,776,857,548,098,297,197,737,430,881,907,420,
950,368,958,446,102,983,845,197,387,432,232,569,525,127,911,147,943,236,859,
520,477,610,741,926,960,995,455,480,249,266,375,771,557,795,163,110,310,387,
252,765,171,349,137,307,621,887,262,305,727,701,943,693,145,335,698,957,481,
343,287,443,689,593,053,263,631,683,282,977,842,413,578,716,222,632,769,979,
563,624,182,564,174,111,678,188,714,736,607,572,383,408,397,772,897,630,840,
356,099,298,267,281,394,050,681,601,883,677,498,206,044,076,290,459,581,115,
399,889,096,227,646,214,262,498,874,847,018,668,800,376,118,036,107,178,696,
725,385,000,984,083,257,518,022,327,875,215,547,555,514,574,985,410,523,246,
572,840,204,258,198,234,676,510,729,414,077,322,021,395,183,082,135,328,680,
700,050,796,383,025,621,028,198,067,512,367,379,007,004,752,585,838,807,090,
625,460,221,801,782,681,611,189,384,879,147,823,485,784,815,018,809,354,524,
074,796,746,516,216,458,327,253,123,430,923,584,534,504,891,279,038,025,913,
727,565,890,491,558,906,669,933,205,679,773,168,668,183,773,515,708,826,585,
069,646,301,008,444,595,380,599,849,167,832,640,286,307,081,470,896,249,775,
858,056,195,793,228,160,041,279,451,339,368,277,011,232,939,838,490,725,271,
691,541,159,752,273,614,215,627,475,206,179,462,288,937,471,783,896,646,862,
310,788,220,084,840,125,939,708,715,337,133,038,351,984,062,924,927,877,381,
331,292,936,389,560,150,454,148,425,170,191,620,254,832,400,444,707,526,619,
076,908,176,313,720,244,404,575,733,117,863,004,312,908,825,593,915,489,826,
031,574,385,099,475,101,041,009,046,564,030,961,007,552,890,469,065,718,064,
804,520,152,403,712,468,795,624,087,083,915,991,943,635,039,073,067,114,767,
993,937,524,276,012,950,682,963,903,832,127,840,057,063,815,760,225,352,946,
530,542,948,812,959,087,035,599,402,031,150,510,603,910,566,393,908,959,245,
353,312,699,036,147,275,828,644,445,565,271,366,345,211,619,112,775,219,575,
184,271,980,020,208,808,603,834,970,958,064,239,784,858,785,605,756,477,361,
607,412,489,134,535,522,573,052,600,556,991,192,883,770,003,040,995,087,300,
618,864,841,246,169,090,398,567,362,056,743,739,053,705,326,007,788,064,943,
222,987,909,604,877,843,068,214,009,846,508,855,743,373,798,173,714,487,808,
429,484,167,549,902,341,983,803,767,851,132,547,440,553,144,579,330,182,983,
291,959,624,276,242,526,662,732,521,611,072,415,152,236,461,680,872,152,572,
693,033,425,744,680,188,536,494,359,663,380,592,497,025,510,230,633,269,908,
675,974,094,140,299,545,827,560,095,151,382,313,469,635,482,696,735,157,901,
511,540,715,729,522,013,206,586,965,980,337,947,231,400,734,850,835,290,212,
624,524,940,690,859,361,620,805,762,195,332,227,414,148,049,231,180,100,132,
801,984,265,839,489,663,851,848,454,547,103,309,861,926,546,442,057,193,868,
283,718,262,721,204,684,270,541,723,481,787,172,302,215,233,181,025,403,168,
040,477,898,116,034,387,974,877,461,134,960,257,123,398,356,767,942,249,315,
326,837,434,259,658,188,509,228,202,818,918,932,704,338,659,908,306,176,672,
776,564,496,096,518,933,420,881,185,594,976,418,508,685,542,913,198,868,796,
295,772,724,095,817,747,203,473,088,572,714,783,075,276,444,630,116,561,473,
466,149,147,184,414,995,462,573,682,942,579,213,408,783,213,393,720,997,029,
607,761,297,883,434,637,270,159,113,560,920,486,256,757,674,898,764,792,873,
370,051,744,518,572,280,217,334,892,077,399,886,763,164,810,074,549,962,200,
181,808,388,132,005,545,659,699,845,428,512,272,553,322,523,747,397,992,371,
239,015,587,741,445,778,699,604,338,447,182,446,785,458,357,376,590,542,885,
391,815,343,614,109,596,247,849,399,077,027,866,435,597,098,767,226,493,781,
020,839,984,393,669,134,385,171,604,769,952,692,462,463,715,844,261,842,318,
878,498,592,396,848,298,212,185,690,475,777,775,502,455,116,567,330,325,224,
255,983,888,928,979,860,814,372,072,240,844,489,891,946,275,270,568,583,251,
950,557,322,503,177,911,778,408,492,999,489,041,196,824,603,356,926,780,286,
195,598,578,463,485,038,710,622,639,863,518,988,615,466,149,295,791,389,256,
967,434,468,561,211,790,549,552,700,715,610,167,160,885,003,971,012,935,837,
240,928,433,563,423,072,633,579,235,498,529,412,621,812,121,654,550,118,069,
060,978,454,413,046,101,055,361,839,591,486,198,338,182,621,362,200,302,865,
966,943,125,888,399,422,159,239,081,240,994,941,902,793,441,585,516,114,246,
955,780,078,468,591,861,137,870,263,155,980,069,279,420,366,973,743,412,703,
283,580,998,190,824,942,803,482,750,985,569,654,650,302,274,798,911,012,838,
690,779,728,781,017,797,180,384,834,737,674,982,860,457,888,181,189,288,055,
094,424,239,087,823,997,639,626,677,676,846,744,416,187,648,569,678,993,930,
849,830,712,445,435,935,644,110,830,341,316,734,417,012,100,304,216,313,697,
616,831,755,911,503,886,133,688,098,105,041,385,522,685,428,812,236,904,604,
956,609,363,583,863,570,207,689,640,588,324,694,950,849,597,470,216,697,641,
071,395,736,567,860,500,971,653,492,523,255,904,138,280,458,763,999,086,072,
970,696,996,264,192,669,725,023,524,856,373,763,262,129,789,071,185,327,000,
760,071,691,297,749,414,950,589,123,300,906,888,188,643,754,970,503,921,582,
396,579,936,846,327,232,531,021,950,530,354,250,288,501,857,543,783,176,647,
089,990,751,461,849,531,371,172,337,585,863,433,967,212,352,229,209,896,892,
704,728,732,145,468,298,326,820,310,287,782,289,959,357,744,648,494,029,763,
713,363,831,166,219,835,624,338,055,347,664,229,621,889,582,114,977,146,838,
613,909,337,506,341,656,346,119,943,090,219,685,068,977,347,744,615,712,832,
943,494,691,277,405,572,448,242,948,672,595,924,446,216,514,440,169,817,334,
856,772,911,851,791,185,261,076,297,428,344,306,775,448,438,932,826,182,741,
978,093,126,936,590,225,843,306,950,857,372,371,981,033,768,170,908,664,636,
698,550,710,769,163,625,767,643,676,278,968,328,591,827,400,584,916,338,774,
771,227,173,986,174,230,786,975,990,785,211,558,708,385,640,368,216,922,054,
713,359,130,431,181,044,627,142,721,469,254,043,838,080,851,681,860,006,294,
678,388,101,314,354,839,210,606,425,444,278,562,574,890,391,452,237,646,605,
808,555,257,365,779,185,497,099,329,068,122,724,404,104,652,903,403,269,779,
634,757,815,707,101,409,082,003,073,200,862,498,147,330,694,529,831,344,398,
629,015,552,655,572,128,726,609,338,255,530,171,312,953,411,392,370,603,210,
727,532,033,531,528,490,396,989,755,891,375,605,976,632,371,944,539,670,452,
589,368,537,253,594,107,636,921,844,318,046,868,198,850,107,993,012,503,972,
877,298,005,625,907,266,533,633,522,499,441,826,779,734,320,166,650,370,704,
986,921,156,728,327,854,153,658,252,417,545,621,197,284,791,545,540,403,580,
733,762,582,643,487,798,103,447,833,593,764,422,830,214,979,627,589,296,570,
288,897,830,399,256,674,543,322,171,129,872,374,853,654,731,599,526,098,606,
986,591,666,188,520,431,433,680,296,863,232,301,341,794,103,453,604,137,750,
596,682,244,968,975,627,603,377,332,795,324,338,128,835,807,746,153,145,113,
810,034,422,864,766,379,328,937,698,309,350,888,213,888,555,742,400,721,067,
209,658,817,980,548,763,603,807,110,291,654,730,781,283,871,140,632,424,033,
809,619,436,219,140,302,329,688,039,121,313,959,144,821,893,519,888,076,051,
627,064,827,651,870,411,685,998,681,514,502,925,185,042,440,276,130,388,236,
119,315,433,155,993,594,776,466,413,148,922,246,706,682,834,928,527,109,693,
141,603,638,330,642,268,525,942,787,105,092,826,227,788,349,762,893,021,209,
761,719,937,673,457,552,697,244,061,846,362,807,099,228,097,148,782,538,452,
011,530,145,050,409,164,936,666,196,182,993,310,575,583,950,963,285,689,812,
798,018,828,356,889,505,208,623,042,676,208,235,224,724,065,935,190,764,640,
739,216,197,353,325,965,824,181,758,199,289,086,313,956,112,719,382,306,938,
796,828,860,565,700,619,118,098,870,348,122,229,307,174,589,194,755,424,525,
877,251,211,190,595,440,042,790,973,023,490,419,972,796,885,682,609,808,092,
969,095,060,883,770,460,574,771,178,263,262,352,868,408,775,174,896,302,015,
945,081,481,704,478,733,029,977,444,406,336,510,883,830,012,340,493,775,861,
825,209,324,707,825,570,142,600,466,926,060,333,049,838,366,885,280,832,668,
517,561,316,532,413,075,773,584,974,804,843,616,705,286,929,481,891,069,482,
010,802,714,883,214,056,608,945,630,043,329,380,090,269,804,478,635,240,902,
161,234,291,013,462,727,236,265,102,669,499,659,727,044,236,179,207,141,405,
380,297,861,952,795,559,498,337,754,193,947,346,478,962,433,633,263,499,335,
956,211,286,031,867,642,323,770,882,249,868,614,472,639,182,600,176,847,201,
036,684,752,143,304,046,634,247,938,924,297,577,686,221,047,942,885,588,848,
014,658,185,105,928,957,275,651,110,631,657,056,517,902,748,383,070,070,184,
009,242,670,602,733,745,702,981,617,444,206,682,824,706,182,111,978,720,965,
206,566,033,956,573,935,669,618,205,970,846,571,092,488,791,508,842,209,022,
681,696,609,712,248,770,986,733,293,438,571,109,304,915,169,135,838,976,277,
630,426,340,539,655,846,313,339,073,467,615,857,951,040,779,892,960,772,572,
522,867,525,864,185,148,943,753,294,871,149,023,772,598,759,804,508,503,851,
689,883,365,366,168,774,375,390,867,897,130,735,782,947,336,733,262,606,487,
425,786,298,502,724,349,552,795,623,335,455,783,346,546,941,766,582,184,915,
559,064,187,471,822,852,120,942,441,821,278,376,365,987,555,580,576,565,121,
447,391,024,929,103,854,129,418,058,333,367,443,809,545,570,154,106,789,019,
805,928,463,154,235,456,044,057,758,057,393,143,754,073,112,552,660,051,568,
701,641,878,337,650,164,806,333,339,801,335,966,011,653,972,025,225,536,222,
969,717,101,539,685,254,514,220,949,359,819,598,843,052,718,598,903,069,866,
663,936,760,598,917,194,920,375,935,667,092,630,303,214,823,894,346,847,056,
195,501,093,425,873,122,684,137,141,457,547,019,867,722,607,325,218,340,268,
825,581,093,154,668,966,250,620,949,471,350,119,317,732,819,477,006,565,208,
802,877,323,339,103,947,127,788,589,286,112,562,566,210,806,921,310,720,978,
423,209,961,381,314,441,136,308,059,751,204,150,656,589,263,943,770,579,322,
654,100,835,662,020,349,725,339,211,360,481,749,731,368,224,794,005,108,341,
184,576,041,657,274,191,537,489,749,197,114,523,819,962,425,138,353,868,609,
708,992,379,687,069,677,711,528,482,796,805,425,709,671,241,927,928,811,953,
721,069,116,048,284,052,949,961,129,286,377,803,943,777,420,849,654,837,018,
884,859,472,833,647,501,489,840,674,419,804,205,828,095,615,502,932,094,946,
565,297,318,343,145,244,591,112,357,571,893,648,920,562,094,215,937,832,430,
029,837,601,595,799,944,988,876,625,517,406,102,330,228,499,918,307,004,343,
340,384,255,025,255,612,835,394,956,011,669,367,943,387,271,972,218,004,211,
810,778,194,569,667,936,414,196,977,863,074,521,052,257,210,460,070,993,117,
731,002,446,956,110,298,266,849,444,282,882,626,276,704,537,232,857,458,381,
882,441,829,591,660,219,124,964,060,634,208,629,246,734,433,388,309,531,831,
804,834,877,745,040,247,298,691,084,477,510,491,644,469,638,510,415,896,199,
310,922,089,152,779,482,960,979,979,143,958,239,335,979,782,488,053,134,456,
148,371,123,598,817,106,724,505,529,483,926,465,564,712,652,507,639,060,570,
261,024,119,768,949,130,766,583,548,197,416,265,572,237,338,235,453,356,692,
330,595,725,596,939,790,388,941,804,236,835,490,360,218,089,913,287,741,823,
546,776,494,141,520,855,684,020,576,536,978,204,600,451,589,744,787,649,786,
732,096,545,163,377,757,324,713,845,730,938,820,808,337,152,921,857,967,965,
333,619,800,258,351,550,421,658,563,825,610,974,394,199,816,895,066,999,887,
552,361,006,502,656,940,671,616,932,816,330,633,837,026,587,641,421,030,561,
502,762,881,291,955,253,494,122,343,554,575,353,016,351,560,518,935,250,528,
828,881,195,421,980,366,338,374,134,085,403,832,624,338,132,464,195,360,945,
953,080,624,114,037,517,506,835,954,657,280,873,533,452,048,531,119,127,200,
066,471,727,747,466,543,002,585,605,630,181,236,074,368,651,750,473,127,917,
691,937,496,344,049,028,911,396,633,339,052,339,610,935,383,011,851,877,835,
771,451,418,822,149,856,439,956,689,394,358,723,423,767,729,570,516,471,726,
658,769,962,993,120,827,173,463,818,246,031,562,072,644,057,562,652,020,462,
510,983,858,582,201,729,161,611,338,737,584,397,898,420,947,985,134,100,767,
775,310,980,743,576,619,148,096,034,754,682,242,785,120,385,713,954,870,599,
621,263,406,002,975,209,501,195,802,196,421,702,049,244,150,134,722,375,468,
793,041,582,808,172,228,331,533,481,574,692,331,338,770,788,181,028,641,862,
653,328,850,688,748,499,052,354,750,378,837,260,558,103,979,212,950,976,217,
495,443,001,119,894,944,663,077,764,691,525,540,840,555,544,357,274,594,915,
307,173,752,386,918,284,383,881,140,278,520,081,462,664,026,721,937,940,062,
856,655,694,573,064,482,879,518,340,393,978,247,757,908,051,426,862,118,566,
262,126,743,143,029,725,653,950,691,785,298,727,956,904,183,543,200,125,973,
906,717,075,171,344,028,224,638,114,644,160,852,851,304,612,177,084,760,829,
304,543,018,912,793,803,330,040,281,377,768,109,149,533,228,429,542,687,047,
249,824,440,906,048,390,335,034,408,041,634,535,701,553,187,882,636,581,131,
273,584,540,264,890,924,167,692,036,316,179,553,927,362,900,989,468,212,607,
354,406,552,938,540,095,678,251,893,096,534,790,945,195,908,244,151,429,695,
560,133,860,559,683,714,729,948,954,600,189,334,971,522,022,689,533,930,341,
809,142,934,599,501,314,746,572,721,949,338,361,253,513,296,044,007,012,418,
355,409,355,360,470,043,467,927,461,351,373,374,347,585,701,286,949,635,782,
263,596,540,112,510,242,794,224,513,692,586,887,277,851,955,976,448,453,191,
444,402,761,099,028,990,650,756,779,541,937,580,382,116,078,949,570,312,101,
558,741,150,384,252,718,614,961,465,080,302,089,914,354,263,739,974,103,145,
198,641,327,394,376,721,167,128,311,724,134,662,943,103,875,867,386,415,428,
151,783,414,874,026,939,512,831,925,118,120,397,252,963,047,729,348,948,316,
242,295,655,615,680,352,178,585,780,014,253,585,049,200,928,411,488,442,148,
036,943,504,395,983,837,271,859,057,660,151,314,449,727,892,323,641,160,806,
583,898,786,450,918,243,549,783,733,308,369,769,826,328,852,579,599,814,980,
472,270,021,075,000,850,530,691,602,198,098,907,247,141,889,065,075,210,343,
728,412,559,961,967,504,466,676,388,466,036,879,276,530,660,605,362,236,472,
596,291,197,605,557,063,556,375,123,927,058,316,485,972,410,830,626,854,151,
759,871,232,654,850,769,275,712,675,949,992,647,424,952,604,686,631,638,851,
054,619,876,961,456,697,870,471,965,348,255,634,661,478,729,778,339,683,898,
946,307,138,225,301,977,625,317,254,042,903,405,936,402,430,190,585,075,003,
324,034,036,789,560,184,071,315,898,429,400,630,547,464,172,459,903,699,297,
787,956,595,955,550,656,532,351,041,423,087,607,617,912,484,991,875,621,799,
242,475,047,676,217,013,284,374,076,171,149,615,294,267,803,343,240,677,936,
412,420,045,844,765,948,854,766,475,410,895,548,104,028,642,817,925,156,788,
917,731,197,610,129,379,295,409,738,703,072,077,329,550,038,602,429,057,781,
598,277,941,394,459,774,691,740,515,388,338,054,264,432,553,120,496,692,640,
047,837,822,722,695,891,639,099,139,895,697,567,860,518,543,487,586,856,659,
594,192,608,247,245,496,673,028,018,628,888,699,346,106,834,997,365,109,666,
952,675,472,566,406,561,460,285,520,542,902,438,266,541,662,310,140,378,122,
938,270,926,762,032,216,543,620,840,678,392,239,851,455,059,548,551,049,906,
589,671,954,478,559,754,556,728,873,509,313,187,912,368,965,468,263,117,165,
847,226,869,058,966,295,493,345,718,106,286,780,001,332,653,592,173,325,105,
132,833,554,517,700,189,870,528,407,714,651,765,723,947,071,162,705,726,215,
819,235,861,957,334,357,884,830,598,760,633,549,697,962,193,682,674,588,885,
303,025,177,026,144,474,884,094,148,545,021,678,852,298,151,838,186,728,628,
548,494,254,268,321,762,083,752,117,636,233,354,999,753,208,733,125,848,561,
267,814,974,048,366,741,106,174,508,375,367,601,849,305,123,768,253,039,815,
731,330,692,555,376,400,268,758,760,877,627,081,245,996,191,428,427,880,464,
993,475,579,458,666,130,390,234,257,698,082,955,560,750,088,207,866,188,987,
798,256,913,711,514,061,518,398,262,330,535,251,873,656,131,896,256,502,261,
074,086,597,536,818,884,844,868,645,033,776,702,765,962,808,448,678,389,373,
762,591,099,541,161,811,072,031,375,666,766,819,881,012,202,469,657,211,183,
629,070,009,084,603,881,554,065,288,318,999,084,745,792,745,656,643,705,473,
028,997,299,381,842,276,586,827,695,645,102,785,554,294,032,714,093,154,579,
786,748,481,793,393,764,892,113,673,916,157,157,516,700,003,159,417,495,175,
226,395,646,607,594,363,508,459,608,029,106,351,723,967,254,261,859,014,168,
137,575,191,396,166,813,505,745,310,826,070,584,718,682,233,126,168,927,422,
705,476,577,463,917,590,605,980,583,605,454,741,410,274,846,026,544,025,944,
555,387,137,498,930,796,706,539,666,761,917,015,541,855,883,763,442,118,609,
999,728,847,796,428,489,851,233,071,680,406,561,038,891,746,871,564,307,765,
834,488,878,750,908,021,222,412,516,617,889,451,859,692,864,136,767,916,989,
269,981,631,134,961,691,471,013,604,958,269,316,743,268,144,939,732,674,564,
389,511,565,773,282,271,280,585,329,002,479,297,009,258,971,334,886,877,196,
552,864,750,453,789,220,406,259,147,902,632,041,445,235,007,635,022,639,755,
841,827,139,520,883,568,017,197,987,911,056,443,213,845,429,355,818,822,211,
897,244,587,740,393,677,595,785,659,333,733,466,671,052,517,551,606,245,918,
181,115,038,936,288,522,911,456,703,805,488,670,755,791,972,866,607,163,385,
893,261,621,845,551,323,443,130,882,043,883,091,097,307,056,800,304,848,901,
436,445,966,747,335,165,629,819,687,394,167,591,428,828,532,269,097,047,471,
158,477,738,457,997,255,090,788,150,407,351,124,454,181,037,381,768,532,052,
822,078,050,770,020,290,312,300,735,236,318,963,963,471,071,015,269,516,961,
825,118,679,840,736,968,983,069,076,598,910,649,892,915,979,531,701,932,750,
938,445,886,537,221,666,087,225,751,961,072,251,287,989,946,028,746,437,521,
363,368,681,960,247,642,944,191,396,654,076,342,405,861,584,935,109,317,174,
767,567,535,510,016,659,814,893,281,729,551,781,325,563,845,645,349,266,426,
177,279,817,616,970,648,135,126,436,727,819,824,677,322,554,546,831,865,464,
232,512,776,368,851,400,513,978,860,814,510,934,518,892,779,384,690,812,482,
992,708,364,405,822,137,501,709,529,123,938,661,664,692,852,743,973,069,136,
057,240,397,595,858,635,800,138,147,070,186,803,210,406,983,123,168,030,543,
839,644,264,747,530,168,214,101,020,517,467,151,458,840,651,888,403,418,377,
954,266,697,875,614,440,187,723,923,229,704,050,683,275,409,235,276,477,396,
284,698,433,183,868,552,160,457,971,616,551,881,722,183,404,265,288,345,130,
078,035,210,130,838,174,911,460,496,444,464,212,722,198,726,728,818,804,001,
693,694,556,066,566,265,341,271,038,604,689,382,908,525,717,405,656,953,197,
794,342,725,288,043,116,822,777,630,943,555,496,209,381,125,251,567,276,286,
455,249,610,832,626,768,529,579,112,052,134,428,593,724,542,429,106,649,150,
259,347,012,394,380,936,245,016,086,971,232,089,101,544,634,798,238,958,009,
273,373,164,177,795,597,294,407,087,841,786,119,670,494,318,332,816,233,341,
396,794,140,826,902,146,042,384,354,861,332,076,704,274,250,733,382,240,999,
892,914,787,114,628,714,807,486,493,221,356,448,546,507,516,743,078,523,773,
392,750,916,292,972,052,397,616,393,334,179,746,608,286,441,255,168,413,217,
513,344,308,969,531,455,980,822,675,178,432,149,114,574,991,648,663,547,687,
759,291,610,926,699,019,637,335,878,330,952,448,144,051,591,881,173,050,995,
437,362,021,104,670,148,496,341,265,357,942,358,683,315,442,407,120,369,713,
034,691,941,271,469,591,610,701,979,205,676,511,986,606,269,729,700,676,488,
339,961,012,709,735,931,860,492,974,661,707,203,146,128,497,535,743,873,962,
695,595,210,998,603,049,233,312,800,111,061,841,072,293,844,622,580,124,967,
184,936,835,310,940,619,066,518,621,295,285,211,025,166,307,600,735,390,178,
221,137,273,856,577,576,714,101,962,948,808,787,266,317,833,063,830,047,885,
649,412,082,101,051,611,910,033,856,020,814,838,862,439,729,507,964,307,367,
744,413,181,978,439,928,835,357,429,478,214,163,133,610,722,357,667,164,702,
017,359,793,868,770,207,143,979,176,753,350,475,588,356,038,029,387,644,679,
379,700,262,163,550,545,406,834,609,315,207,719,956,144,296,862,634,112,488,
673,602,434,132,889,148,027,444,229,434,654,241,051,516,838,405,851,017,381,
667,792,938,311,807,650,474,847,592,541,226,505,768,563,891,717,018,689,232,
500,591,806,574,535,506,163,809,052,552,606,020,778,310,622,664,125,365,966,
231,910,987,657,019,051,138,388,107,156,542,074,081,551,866,918,823,784,629,
718,835,592,207,545,532,675,362,833,136,577,596,003,444,854,358,170,772,873,
433,608,628,809,430,274,543,151,870,631,493,274,039,038,945,292,622,705,402,
568,275,325,044,607,650,164,020,258,215,494,740,159,423,270,309,760,126,318,
384,920,825,208,516,339,099,579,526,842,376,221,274,845,623,175,072,571,351,
375,839,348,714,031,063,886,916,208,981,638,803,124,915,214,909,114,503,900,
064,196,180,271,666,054,139,741,965,991,870,267,220,351,577,441,046,165,873,
006,431,376,475,476,658,514,860,961,838,365,636,367,043,149,090,821,891,675,
716,949,295,997,880,385,049,356,440,967,438,530,498,859,352,580,506,719,507,
805,473,278,472,463,543,879,667,347,512,178,049,200,196,477,916,818,297,966,
008,181,685,528,233,642,556,487,078,571,954,959,710,270,755,115,332,877,620,
844,208,114,128,969,066,291,510,953,501,781,916,419,083,086,847,740,282,607,
989,478,603,809,666,888,939,602,967,620,592,979,953,917,924,663,250,567,754,
798,469,888,717,959,848,593,667,762,969,730,046,349,071,498,452,933,077,247,
827,955,787,938,601,611,433,103,360,089,457,870,869,365,214,369,147,265,298,
146,889,808,097,834,055,077,976,311,424,475,085,577,972,005,163,374,362,132,
409,939,850,737,272,336,154,252,822,374,514,027,130,120,541,158,270,648,625,
798,769,170,492,965,585,353,487,793,767,397,153,233,944,701,347,021,997,086,
415,456,260,153,957,913,188,295,542,192,402,581,401,092,311,492,416,940,105,
599,783,049,187,826,497,009,397,934,417,431,496,873,454,388,209,062,992,612,
692,444,627,801,862,570,170,227,994,565,598,575,471,288,633,216,241,990,567,
593,957,053,029,432,128,061,563,462,038,277,748,740,935,459,276,610,761,952,
033,582,947,958,615,630,583,947,428,055,494,413,079,993,748,994,584,287,743,
659,527,690,133,123,431,660,438,250,807,894,826,173,784,358,299,768,155,526,
768,712,819,505,704,751,949,750,475,485,725,676,978,511,813,691,575,824,398,
307,567,949,289,095,270,047,566,165,894,232,968,263,560,492,723,638,516,293,
040,524,534,678,834,636,143,075,142,357,504,804,496,945,961,927,227,855,757,
398,425,769,047,673,496,572,645,342,500,883,802,390,704,590,773,767,419,480,
898,711,892,691,081,374,301,958,003,753,087,966,004,140,266,224,541,596,379,
449,341,136,377,509,508,988,057,615,743,842,390,620,788,990,174,462,102,942,
642,002,256,592,490,142,681,717,570,072,274,911,097,531,866,406,298,621,781,
287,460,438,241,128,120,442,630,338,299,597,285,007,210,595,623,206,866,151,
916,598,334,001,202,188,071,960,697,886,719,437,370,029,172,834,775,265,785,
789,929,634,651,785,348,963,883,266,106,444,447,841,975,980,970,670,838,413,
268,895,977,692,332,041,309,809,617,649,205,739,220,460,573,848,170,350,684,
372,386,776,783,729,152,877,373,322,166,199,040,462,032,587,773,804,986,921,
965,379,451,218,394,352,265,861,608,703,649,472,636,235,376,033,086,107,312,
047,237,603,330,595,788,899,200,686,090,516,731,071,916,570,277,714,890,105,
060,617,365,413,584,147,848,807,344,927,088,758,056,702,536,948,662,412,569,
085,592,567,046,479,528,301,554,284,428,541,143,897,921,583,163,797,954,778,
489,767,229,877,985,723,601,750,132,464,655,564,628,655,668,981,762,001,599,
349,337,275,424,977,310,359,050,614,267,088,873,466,377,977,132,865,252,247,
688,717,936,251,926,949,980,927,862,540,424,235,449,668,553,073,295,627,105,
287,659,678,673,346,313,691,955,708,106,925,656,331,196,840,212,639,963,408,
487,856,515,677,070,622,651,556,212,028,404,144,872,472,067,702,721,928,367,
667,756,944,877,096,430,792,093,403,355,665,867,377,501,521,801,358,344,669,
027,089,880,664,037,895,424,985,284,102,379,087,986,556,219,384,134,964,306,
095,412,622,598,900,944,376,445,459,739,998,474,948,509,682,000,979,410,982,
603,695,778,887,609,712,412,580,750,490,153,669,771,555,300,488,459,873,031,
994,183,990,118,220,184,218,036,125,710,862,755,949,889,574,532,026,252,700,
266,163,484,707,837,688,211,440,494,282,293,869,645,578,840,913,097,138,406,
565,791,036,741,386,135,011,830,414,570,720,236,627,335,575,883,780,660,239,
658,325,351,428,525,691,791,347,996,564,408,696,070,470,660,060,383,757,657,
767,131,689,308,751,863,966,753,549,812,877,378,857,783,563,678,265,955,558,
676,504,542,065,154,042,534,661,209,280,531,397,355,314,720,319,819,281,260,
288,074,049,516,835,079,906,438,542,438,517,808,149,890,626,349,081,167,176,
156,856,598,483,809,493,893,573,895,463,727,405,309,258,647,158,175,736,245,
148,275,293,472,922,245,188,272,761,818,978,825,515,403,611,469,052,082,889,
131,028,045,770,489,257,434,279,700,357,600,160,997,134,109,550,786,181,065,
226,109,947,370,362,997,911,805,522,551,218,495,105,821,517,317,759,061,459,
202,509,044,065,013,293,388,691,543,234,588,512,116,685,881,320,759,439,616,
126,623,217,009,472,040,158,756,183,026,986,272,500,678,325,408,647,364,827,
046,729,262,105,877,710,476,763,189,794,574,759,514,987,592,574,752,994,929,
507,783,799,129,150,883,281,095,498,920,208,083,081,074,822,852,975,241,332,
911,687,900,971,673,818,281,460,436,647,335,456,290,455,616,217,942,763,797,
501,937,267,320,943,409,166,588,596,724,167,968,208,182,239,582,843,255,196,
653,687,938,616,550,522,385,694,918,667,936,851,863,519,328,517,811,145,674,
969,961,127,597,056,431,144,491,538,488,400,757,432,931,801,518,311,150,259,
628,375,814,699,772,285,043,393,132,771,603,321,576,548,291,877,132,868,435,
415,087,224,156,506,642,633,843,262,792,270,681,160,110,489,337,368,565,005,
904,783,178,275,593,013,870,805,762,507,379,516,642,403,687,841,656,596,826,
788,558,838,770,111,497,088,404,621,243,991,585,041,428,543,755,016,340,663,
700,394,857,787,951,068,171,825,400,758,598,326,980,442,400,215,951,092,252,
345,041,387,825,312,883,003,659,190,811,849,915,647,171,440,421,592,522,066,
334,949,123,691,089,636,377,336,095,187,727,520,017,025,980,880,296,471,777,
941,654,393,084,037,315,566,304,714,845,967,654,217,566,282,765,463,996,086,
391,754,059,371,692,619,830,008,416,694,031,601,090,557,226,497,823,591,993,
684,772,601,856,753,684,661,129,348,278,025,108,503,459,068,239,123,333,398,
441,147,731,965,930,691,190,938,533,384,257,383,009,298,791,549,908,347,856,
110,558,147,146,718,829,520,838,628,950,505,077,187,879,631,976,334,562,902,
377,998,946,481,548,900,225,124,759,320,774,903,754,706,686,269,638,969,865,
631,422,880,971,389,033,755,286,530,751,120,898,424,157,655,979,325,047,405,
851,984,760,391,213,792,735,850,763,608,700,086,922,261,463,341,617,536,963,
108,585,025,539,041,950,173,380,549,246,522,170,096,242,587,395,989,066,887,
288,923,262,475,974,208,702,000,876,926,884,154,292,014,297,039,066,188,812,
401,068,321,688,832,270,107,041,882,787,721,211,121,426,391,471,987,958,953,
259,836,848,086,299,842,684,241,422,528,001,107,150,700,348,128,863,404,041,
654,055,844,754,528,972,761,320,349,621,289,020,718,471,173,083,057,111,378,
909,475,653,795,023,960,408,271,267,920,969,579,315,597,394,505,742,310,094,
716,570,513,902,971,563,819,947,876,095,144,546,007,627,481,811,193,314,863,
111,343,042,010,344,876,792,799,358,732,847,785,315,588,319,027,318,303,568,
945,360,674,184,643,463,293,793,567,016,839,603,789,135,902,632,695,012,644,
155,160,371,122,902,871,295,829,302,088,244,539,408,440,790,166,427,538,224,
590,315,610,897,381,588,136,200,194,668,575,423,865,650,200,170,529,790,721,
467,945,725,519,340,268,224,871,304,028,886,807,856,815,500,938,065,824,546,
808,823,578,538,668,717,623,721,200,104,785,585,393,998,952,915,996,803,310,
998,821,636,504,901,701,835,061,921,544,129,873,651,124,442,826,063,189,462,
413,919,453,197,879,469,390,421,484,828,412,346,477,204,632,995,665,714,798,
457,497,538,224,470,227,568,630,794,276,769,878,430,986,217,040,063,905,762,
247,795,331,673,536,925,537,584,444,889,807,572,409,252,000,267,293,426,473,
644,868,243,706,274,208,470,267,065,439,457,535,593,298,840,311,685,531,448,
708,948,025,003,354,687,239,046,218,424,548,124,554,881,431,264,049,829,952,
465,501,016,727,276,134,182,017,504,391,086,928,383,595,607,445,305,501,835,
395,991,630,037,154,738,284,163,189,503,192,883,729,315,395,697,762,342,178,
115,739,810,235,079,462,035,108,680,776,971,627,914,995,075,481,933,527,614,
882,068,850,205,488,649,802,436,682,285,230,544,110,399,586,404,670,141,066,
427,668,031,604,245,998,102,977,546,019,198,050,241,424,169,861,029,082,051,
215,868,388,088,529,937,585,051,622,522,548,308,097,688,365,573,438,971,298,
972,992,205,536,893,990,714,907,314,807,224,792,499,295,539,143,153,511,376,
250,964,964,118,795,564,982,231,140,587,684,865,827,383,464,930,990,442,048,
465,813,813,728,662,308,593,908,101,603,487,164,406,363,156,104,402,627,351,
083,851,693,701,069,764,149,161,189,512,966,458,279,269,985,775,541,634,406,
143,284,644,451,071,471,113,674,440,615,035,705,581,390,115,816,633,132,444,
057,506,999,968,723,338,676,808,818,920,229,203,077,232,008,970,522,042,855,
697,996,032,749,309,142,439,154,149,813,528,997,759,998,007,790,700,579,323,
348,426,049,780,771,650,219,914,297,192,709,746,935,165,934,365,625,617,730,
512,969,163,592,971,089,946,676,627,998,314,603,469,648,954,522,018,288,656,
310,315,487,889,337,424,248,753,837,753,727,597,635,229,406,571,633,196,194,
276,135,813,934,477,810,336,005,860,795,088,667,228,485,232,203,266,690,600,
417,880,532,203,697,687,546,517,260,344,399,958,385,185,165,900,881,705,218,
472,383,695,220,260,247,651,966,177,980,966,649,720,347,747,842,165,373,511,
403,637,475,142,404,239,418,943,125,258,500,904,035,861,522,882,884,477,366,
730,410,800,373,526,482,048,325,341,275,181,695,517,170,850,833,528,174,853,
449,917,341,782,244,230,461,725,178,700,535,127,703,301,758,922,761,478,335,
998,578,738,659,655,437,533,112,500,821,988,249,337,730,364,970,645,002,243,
429,653,349,117,311,477,636,269,842,702,913,853,136,325,103,647,774,978,801,
272,748,031,316,332,797,938,786,577,227,850,775,684,860,320,454,132,635,330,
619,291,326,244,462,073,842,664,386,917,768,325,826,515,525,643,052,026,709,
429,695,653,852,507,406,468,641,718,994,597,620,248,422,621,834,053,964,644,
433,021,464,320,222,348,794,062,014,958,913,193,269,225,950,802,364,390,908,
805,151,494,341,682,887,360,397,296,058,610,377,629,684,905,761,516,314,876,
254,687,122,334,129,572,452,774,833,952,999,399,447,431,585,756,246,045,516,
345,913,449,710,471,883,277,030,978,247,156,354,897,714,312,667,938,294,631,
281,490,134,771,118,963,666,150,253,261,006,991,545,509,816,022,727,870,206,
714,943,255,184,295,850,792,731,989,251,557,911,318,740,926,325,575,704,078,
607,427,471,584,980,688,051,334,815,245,836,924,726,788,903,741,623,088,701,
809,456,138,030,088,696,459,324,057,299,685,397,451,277,681,534,666,931,318,
529,996,252,171,463,350,274,100,704,353,472,861,696,564,287,784,206,507,163,
553,136,585,144,884,287,838,920,314,637,014,248,671,304,204,040,972,934,919,
418,166,378,885,905,030,762,624,706,595,923,798,556,139,940,277,993,214,227,
989,892,345,780,648,210,948,010,653,056,726,968,012,344,849,195,882,086,441,
156,506,082,359,203,325,645,749,184,438,873,056,835,780,516,263,901,760,135,
645,262,547,442,084,449,193,646,219,078,153,878,715,497,373,554,407,354,541,
679,378,468,315,159,391,194,536,232,607,705,893,932,916,663,549,857,614,090,
774,446,549,917,170,629,043,366,098,381,472,223,250,902,260,730,915,554,932,
303,983,915,165,389,116,266,079,628,764,366,164,809,443,000,887,181,014,055,
632,801,582,101,654,038,603,992,946,394,048,098,833,349,454,592,829,975,661,
973,702,725,328,112,469,410,442,144,973,044,743,522,283,230,255,628,904,679,
301,240,052,816,704,298,757,957,732,328,211,653,270,803,031,206,129,147,932,
322,486,146,877,306,822,301,449,337,016,813,866,139,061,922,371,405,689,220,
255,839,626,632,324,609,026,714,202,989,965,049,761,997,223,639,718,534,170,
611,019,474,637,289,398,186,758,896,083,698,824,064,839,622,425,096,584,996,
955,178,729,930,600,316,482,877,319,668,279,764,531,638,818,557,343,484,977,
912,938,254,858,139,011,173,401,899,215,803,704,708,005,257,258,002,203,475,
848,685,997,435,425,977,314,448,270,699,123,291,311,061,931,661,734,499,280,
957,259,878,284,209,968,078,945,864,701,067,315,596,490,324,429,479,259,865,
460,422,857,961,963,784,368,877,288,628,868,854,245,603,065,016,463,922,998,
043,755,197,568,060,409,113,931,269,794,278,758,309,423,068,836,078,950,033,
847,803,616,655,928,065,887,084,640,225,848,572,088,233,751,331,743,482,030,
256,914,637,428,761,606,395,111,848,910,136,267,151,238,828,512,835,177,420,
937,489,307,563,496,655,036,689,434,644,732,196,947,795,705,373,115,092,293,
019,477,199,511,274,300,379,517,688,890,115,777,603,223,431,446,243,208,220,
581,763,989,043,390,003,573,959,489,017,173,101,899,982,127,599,280,513,846,
970,568,939,343,935,861,195,891,063,342,390,638,694,524,356,177,186,868,426,
931,009,441,361,727,274,315,904,537,507,298,754,317,398,351,425,576,098,163,
722,072,188,825,853,206,117,911,438,260,204,620,875,746,227,859,647,571,092,
803,232,130,114,450,224,257,810,897,365,637,297,990,186,424,858,564,979,360,
806,098,135,996,574,139,185,042,514,678,537,989,842,190,125,811,762,126,061,
331,163,893,433,764,311,405,197,212,806,736,312,787,658,674,892,937,177,860,
053,579,762,295,403,716,387,974,359,724,732,504,599,185,408,429,564,122,146,
758,703,178,388,783,725,927,218,394,922,995,522,572,716,455,475,575,953,890,
251,131,049,687,169,147,109,379,529,291,235,023,468,273,592,882,503,679,041,
286,480,845,399,780,885,072,057,243,233,627,330,199,718,973,991,623,427,169,
700,789,102,633,684,252,037,391,039,730,120,746,182,309,116,674,898,904,787,
100,224,110,739,673,842,252,645,760,456,382,945,664,583,797,333,578,591,196,
287,554,334,801,661,228,739,192,186,554,677,941,022,055,004,593,016,284,954,
542,488,072,697,511,338,766,564,850,224,254,312,208,680,239,303,974,466,000,
001,882,847,150,904,342,807,501,525,171,312,527,867,373,260,633,130,658,717,
889,464,751,576,461,645,944,680,504,392,684,339,532,112,951,279,838,458,420,
528,384,141,305,059,748,433,992,930,290,276,813,942,659,955,180,537,570,047,
596,987,021,397,420,496,900,557,894,094,993,652,397,372,187,260,655,527,000,
565,150,726,190,525,548,807,248,970,510,042,593,388,336,639,766,361,820,565,
285,348,700,560,898,789,957,013,311,108,760,669,360,191,548,577,913,724,065,
838,621,859,885,167,153,483,710,134,936,331,745,447,809,217,341,376,075,117,
253,824,108,001,346,944,671,862,024,193,712,537,663,698,252,333,790,559,001,
386,429,175,648,718,952,888,008,469,730,690,750,723,225,305,505,180,517,621,
370,306,624,774,723,236,022,611,000,242,120,060,906,079,553,757,302,226,416,
824,272,161,479,596,952,538,180,255,014,230,983,103,671,873,564,205,839,769,
176,158,199,234,823,063,784,797,237,858,717,613,277,859,159,958,096,841,512,
936,444,625,517,636,478,425,515,784,004,584,004,100,704,060,021,786,703,502,
492,109,587,916,978,904,740,125,842,129,892,179,212,118,713,127,562,097,800,
565,755,911,318,628,591,777,704,828,458,364,140,174,861,624,878,770,383,370,
782,937,213,948,305,831,897,930,209,158,177,522,530,556,809,840,173,205,193,
237,530,346,644,518,968,646,389,181,967,336,005,220,709,745,003,636,744,113,
173,852,598,370,036,809,281,619,047,421,182,690,421,664,427,912,625,846,958,
846,475,611,995,634,395,147,487,761,498,326,760,858,274,960,105,796,374,272,
003,189,784,510,572,129,290,965,357,531,985,472,794,243,569,281,499,097,071,
652,297,344,526,171,040,383,225,094,797,183,686,106,969,180,454,387,428,244,
370,173,719,863,328,432,553,605,067,100,402,454,230,507,933,184,951,319,108,
458,120,569,593,548,708,957,731,481,615,788,731,515,532,687,788,982,128,115,
102,123,676,256,136,967,741,154,448,171,670,634,833,505,850,250,710,927,685,
743,121,030,671,637,179,907,374,796,227,297,141,652,800,103,598,837,743,307,
694,327,881,404,785,224,583,060,891,280,535,673,302,465,915,350,875,581,860,
162,405,174,730,331,861,495,851,162,129,667,507,048,118,586,774,271,468,589,
272,543,232,349,996,385,912,900,940,329,143,361,301,167,391,515,266,949,072,
274,510,073,921,621,056,898,646,072,481,018,644,579,664,758,255,183,880,343,
470,311,508,093,812,448,078,676,350,090,339,962,497,781,134,214,489,885,763,
619,563,796,315,753,858,252,767,193,052,884,511,134,528,500,284,978,623,915,
637,279,752,359,122,303,973,865,164,186,344,878,015,606,845,398,822,634,519,
087,499,923,706,001,583,272,271,098,058,776,212,845,958,946,329,719,239,664,
730,330,087,288,158,599,099,444,034,450,551,154,067,219,569,321,784,820,559,
208,606,039,103,013,622,394,735,438,811,587,172,342,499,652,359,287,194,242,
072,294,742,730,033,203,065,194,180,551,841,773,015,801,308,057,133,291,318,
170,238,109,924,472,516,241,206,524,067,545,851,305,458,259,757,210,161,329,
954,250,267,010,962,898,806,240,771,816,177,148,483,653,109,764,946,106,041,
074,441,778,155,453,177,567,778,008,856,178,424,674,701,435,059,317,249,181,
824,686,363,564,480,784,498,102,672,468,865,994,341,429,501,861,883,049,834,
300,125,818,172,945,743,868,240,758,177,363,094,115,790,798,492,901,664,094,
657,764,236,270,937,177,540,322,440,241,362,689,000,135,096,614,994,430,981,
361,374,673,491,618,921,539,608,455,507,483,152,320,106,907,600,879,210,300,
183,628,743,342,693,861,077,679,398,433,153,707,463,276,300,908,764,963,660,
244,032,791,516,733,776,205,500,203,404,128,341,776,434,610,883,263,048,204,
476,190,880,729,204,031,607,020,088,061,801,528,832,039,570,423,811,260,307,
202,239,844,480,148,652,029,226,296,226,507,890,489,313,041,306,285,670,536,
086,225,746,718,574,555,889,395,595,111,170,747,408,293,450,319,951,457,423,
732,371,607,532,579,660,085,384,268,689,071,459,510,201,668,563,065,576,309,
903,667,034,689,216,206,237,298,397,908,523,321,683,491,660,890,332,788,904,
039,885,071,959,865,157,752,326,031,631,196,977,830,083,431,242,132,430,244,
690,294,740,499,689,265,816,284,696,036,410,600,144,482,690,745,290,887,772,
099,379,211,201,261,832,726,043,148,476,367,227,319,274,452,903,998,442,843,
020,113,750,044,881,532,235,360,924,968,909,717,946,661,056,509,271,907,646,
780,610,189,184,668,618,854,358,734,875,749,878,096,341,413,746,935,240,314,
994,851,824,539,003,019,976,083,811,834,619,207,497,208,677,268,552,761,910,
078,984,308,619,504,586,628,896,851,272,326,965,006,316,393,061,865,980,105,
044,453,377,844,483,375,754,623,279,605,914,735,663,477,876,455,421,410,950,
908,410,970,140,016,444,777,032,167,379,228,737,042,405,933,584,879,922,038,
096,376,443,037,211,346,297,718,082,653,243,317,456,060,062,892,585,629,432,
943,345,829,585,015,696,508,031,922,536,302,249,280,595,130,891,147,593,923,
107,521,771,553,253,749,595,258,987,400,344,790,660,785,856,196,551,620,836,
859,414,154,327,606,391,766,182,962,958,125,746,886,386,105,523,951,036,531,
714,438,516,787,395,324,843,213,040,978,328,799,696,693,602,504,938,513,916,
149,262,690,253,660,817,815,330,716,732,817,298,720,435,080,720,927,150,623,
503,073,631,202,894,870,713,469,453,611,651,454,741,940,221,801,896,200,193,
904,208,789,815,838,329,574,344,971,578,544,359,709,510,848,916,404,805,772,
079,248,278,427,376,762,506,360,753,849,571,861,970,024,998,126,719,753,551,
439,605,059,706,664,757,684,818,914,609,709,618,456,831,667,467,176,634,363,
691,764,130,886,367,537,844,505,998,630,931,033,506,917,116,184,504,316,913,
441,081,208,310,946,311,261,525,606,245,711,900,295,551,541,060,444,375,901,
761,178,181,906,956,793,045,872,495,541,560,908,576,413,952,175,860,773,863,
534,222,350,620,926,424,571,594,756,928,226,185,809,093,373,573,099,080,872,
970,079,727,051,102,780,194,268,874,130,301,041,816,283,604,361,657,273,356,
477,592,260,841,242,941,776,758,740,581,230,886,208,077,471,831,708,088,896,
344,606,621,125,711,791,075,317,183,099,966,126,223,997,126,337,635,976,591,
315,878,045,514,709,959,479,458,662,461,298,651,185,247,551,014,889,155,355,
716,436,947,461,513,292,127,052,731,388,673,073,465,356,311,247,117,986,009,
473,713,732,131,664,007,120,139,565,920,795,871,300,162,528,288,268,230,197,
440,722,107,216,853,673,816,638,328,156,593,071,097,053,672,912,273,796,012,
215,298,918,291,723,472,013,095,546,767,810,020,732,890,019,111,517,927,463,
709,875,843,563,230,682,576,866,234,901,798,065,531,674,508,204,010,872,820,
428,410,575,372,321,323,179,948,190,687,095,820,860,450,239,913,842,626,467,
631,703,722,696,634,649,231,807,407,335,787,357,769,908,922,207,518,741,809,
797,328,284,716,001,704,821,267,838,644,473,250,921,281,948,089,186,288,658,
167,897,098,322,981,896,639,373,286,793,872,915,528,634,211,022,969,502,503,
320,664,732,022,748,128,255,919,822,424,114,730,840,161,371,406,206,087,662,
689,741,760,291,859,991,406,049,220,408,504,460,165,473,429,380,779,944,299,
629,454,003,460,721,553,139,172,162,958,881,425,192,522,117,040,128,418,774,
850,370,927,343,277,478,857,302,888,096,732,869,477,998,878,153,975,650,795,
689,577,197,782,599,670,247,374,890,300,326,999,203,078,324,873,729,876,068,
347,524,768,745,154,448,846,196,927,931,214,046,520,618,433,170,934,293,479,
667,170,295,857,591,135,055,512,744,099,856,918,933,138,953,093,585,945,200,
399,434,411,960,657,901,153,026,267,303,458,155,578,367,636,885,627,540,421,
384,138,309,152,652,216,382,349,125,573,968,593,659,592,095,740,489,823,589,
239,598,924,678,096,035,803,225,530,705,348,609,326,919,889,348,918,977,831,
837,500,441,743,935,601,359,696,269,970,935,890,630,313,271,905,950,438,230,
513,025,962,072,535,256,016,108,670,750,345,802,325,269,156,091,778,412,309,
247,927,905,167,887,838,968,744,561,085,319,143,081,549,107,206,454,555,960,
341,036,202,114,151,132,553,750,099,054,132,242,257,325,335,951,139,915,999,
598,324,956,886,453,085,986,011,019,664,269,428,260,741,004,780,213,057,483,
793,166,817,331,466,073,966,218,627,315,437,938,080,957,161,096,211,152,042,
990,174,031,741,244,191,190,007,253,060,953,914,625,289,763,155,059,432,626,
858,677,492,753,594,822,874,877,825,351,898,634,926,239,460,513,147,224,836,
855,096,549,726,996,940,782,451,347,200,149,399,443,515,298,824,638,290,492,
212,197,922,848,780,445,985,999,981,418,374,699,241,005,005,565,562,844,873,
142,141,550,251,239,415,387,442,704,970,176,219,358,691,587,851,871,248,903,
526,922,215,479,762,822,255,683,174,383,076,410,828,283,423,351,092,024,664,
466,837,624,577,171,719,515,205,571,281,512,080,996,522,256,163,357,682,089,
870,856,778,081,147,548,602,134,721,256,003,490,180,879,112,332,481,909,744,
371,153,982,664,785,409,085,512,775,369,621,514,345,475,498,255,881,560,892,
350,117,951,712,318,332,713,418,776,774,541,220,843,723,844,023,500,967,123,
681,504,309,766,127,528,869,241,520,414,220,633,240,571,376,204,788,057,203,
668,305,072,946,272,486,424,404,923,022,870,811,130,087,297,071,301,852,650,
688,416,388,012,105,953,272,774,114,979,957,307,535,928,522,494,179,032,673,
349,625,915,756,595,776,529,513,287,272,711,856,486,492,975,127,259,029,154,
722,807,030,254,439,732,235,149,280,909,456,933,558,154,931,499,925,140,025,
799,883,402,310,694,189,369,890,944,868,794,077,553,070,507,186,001,811,316,
784,455,120,285,136,624,659,871,505,620,138,674,476,481,821,558,317,155,395,
179,251,203,662,998,245,774,309,989,998,701,762,318,566,864,722,987,291,840,
689,208,341,330,108,677,399,669,231,570,508,989,357,823,345,440,924,449,286,
647,119,611,812,624,771,597,926,273,339,505,000,408,622,115,049,700,103,749,
205,566,079,380,437,957,692,366,203,273,758,555,738,688,264,159,928,705,308,
900,038,053,569,215,971,071,018,046,698,772,689,889,360,251,211,314,219,253,
363,549,601,646,519,659,529,334,892,568,847,786,259,352,971,261,168,511,266,
662,301,078,400,312,324,672,891,822,726,019,882,917,205,403,183,923,044,907,
093,263,664,851,338,973,190,213,676,656,014,522,694,372,502,426,534,569,009,
886,067,220,790,717,293,172,405,224,230,395,883,589,974,852,565,000,561,790,
538,754,427,915,452,865,738,828,061,046,285,687,459,402,929,612,398,858,891,
647,658,775,929,865,704,413,900,352,309,922,452,058,737,245,423,310,608,167,
760,750,667,866,009,939,285,114,040,782,095,876,593,413,304,328,221,964,012,
641,788,430,687,555,985,882,605,773,609,095,265,392,362,866,772,822,391,956,
636,511,071,501,733,964,050,911,612,529,662,527,111,701,495,065,931,717,878,
036,603,052,475,698,427,050,139,155,270,739,417,626,087,807,353,935,424,881,
942,548,008,443,551,438,953,784,517,808,995,687,523,312,298,318,584,582,397,
531,155,798,096,825,545,275,881,352,694,215,406,269,959,997,669,623,961,728,
021,742,005,279,885,091,259,402,632,986,146,946,479,414,290,522,229,380,911,
282,067,541,904,766,062,634,279,348,122,224,695,248,507,651,347,643,317,338,
923,405,022,628,005,210,592,033,767,473,635,685,686,447,802,035,680,280,478,
922,173,045,174,000,699,086,225,369,103,132,382,558,882,950,063,627,156,632,
103,546,618,877,046,894,587,512,942,371,891,869,366,133,389,861,424,848,993,
038,761,243,727,773,288,675,022,750,341,396,624,680,162,025,953,149,035,663,
796,073,406,714,063,118,946,134,811,730,272,129,503,591,551,982,332,114,454,
292,680,298,686,010,559,820,004,336,873,293,059,365,136,387,367,325,319,384,
947,557,827,546,559,223,147,792,227,918,712,123,193,127,801,871,632,490,493,
994,485,120,646,761,268,553,180,656,549,285,439,602,927,609,555,438,715,702,
285,567,373,344,765,542,940,833,536,258,216,390,658,695,282,691,323,745,841,
384,434,507,138,131,735,216,670,638,806,857,556,009,857,762,272,269,465,974,
688,604,701,981,270,753,607,427,834,765,624,179,727,028,594,119,200,055,319,
714,337,970,942,935,942,921,904,950,550,014,687,668,182,424,680,436,940,174,
548,781,444,337,094,763,940,398,617,633,785,515,916,891,128,648,258,234,115,
923,868,925,497,767,883,968,752,291,208,717,092,188,339,927,876,711,972,972,
326,880,115,029,846,791,696,922,602,248,681,079,058,988,316,779,474,871,871,
788,676,685,757,220,779,307,556,979,427,003,538,398,257,012,446,298,293,098,
789,846,734,282,018,488,064,332,289,621,358,077,600,862,974,685,344,879,162,
280,879,122,839,628,334,394,359,947,582,846,164,410,863,248,554,259,742,795,
376,334,149,280,398,022,907,793,661,263,208,339,313,231,744,850,351,586,444,
046,470,662,472,777,096,069,165,088,619,435,845,633,333,863,494,642,093,183,
475,567,930,576,833,617,846,969,741,477,663,475,976,731,334,279,084,795,277,
729,703,453,140,557,398,655,821,225,274,556,310,738,027,870,419,763,862,756,
056,491,297,762,109,197,627,370,573,740,428,088,105,397,323,091,081,011,143,
196,858,278,028,163,905,110,943,850,495,210,864,484,388,206,720,290,389,941,
957,096,887,841,334,734,195,300,155,236,198,000,668,662,290,653,328,262,726,
595,740,228,388,902,532,630,681,835,854,958,974,222,189,237,842,622,357,734,
916,653,531,313,567,161,878,870,859,500,936,662,995,558,149,632,400,806,562,
604,297,686,280,447,074,475,093,651,700,421,103,552,296,174,478,145,742,886,
254,711,021,294,154,935,774,042,745,504,732,751,258,219,690,100,740,994,657,
406,041,913,085,080,472,377,433,907,631,847,503,965,677,031,333,196,506,441,
737,283,334,488,439,680,922,720,410,086,644,576,065,423,999,901,371,404,193,
626,571,586,502,775,907,264,282,867,365,687,931,956,487,950,021,417,308,717,
215,288,780,693,345,544,120,821,247,760,127,904,680,817,793,693,005,153,573,
005,925,223,516,610,618,038,018,102,563,084,797,883,149,896,904,298,586,071,
446,992,032,568,660,062,201,433,725,110,372,253,865,164,280,594,040,246,877,
119,716,578,810,886,846,390,361,852,228,552,542,823,817,536,250,222,357,966,
731,005,738,939,129,747,605,071,572,259,272,480,771,388,764,592,615,629,837,
397,712,384,377,035,518,790,482,106,624,553,904,017,310,445,557,849,479,237,
478,040,665,944,436,427,502,237,149,050,609,279,898,806,547,281,233,806,552,
126,474,948,594,083,439,076,490,586,399,885,801,501,447,277,192,708,507,107,
200,413,247,096,286,101,691,332,278,978,941,287,583,128,696,263,003,980,694,
910,619,381,634,274,219,862,723,810,867,750,862,456,111,278,307,499,807,379,
490,377,802,510,580,934,505,771,387,567,572,656,980,147,115,975,316,242,359,
013,664,154,551,852,740,171,792,553,168,883,829,190,218,563,372,911,704,888,
743,845,776,191,688,050,519,427,160,420,692,778,973,480,420,879,238,429,039,
309,849,771,373,527,711,203,004,511,028,969,703,276,766,876,837,805,116,519,
412,602,675,240,748,282,414,422,244,490,669,367,066,189,803,711,603,560,795,
119,433,570,335,108,438,164,244,401,803,681,859,849,539,894,877,289,614,626,
374,577,398,851,828,801,069,855,000,913,076,511,810,342,499,129,047,159,178,
774,505,626,981,549,324,065,874,761,338,294,148,133,370,530,374,362,385,329,
183,242,598,299,388,061,611,300,285,577,026,794,967,805,736,835,242,134,517,
007,443,857,706,195,924,661,923,422,134,170,602,374,769,850,374,005,892,317,
584,035,013,922,108,249,774,821,231,059,405,160,222,620,779,385,349,883,372,
200,146,612,028,880,227,193,980,407,482,115,527,192,413,505,061,958,296,526,
539,372,836,454,054,278,791,677,687,592,173,642,309,733,916,144,016,168,817,
826,676,599,841,024,940,920,012,598,112,079,556,557,002,265,913,826,138,783,
161,007,815,006,894,152,062,833,286,009,054,340,933,323,243,186,191,699,841,
453,687,058,248,993,824,388,278,072,891,040,994,427,701,820,916,416,797,541,
255,762,062,105,162,548,732,004,393,084,118,811,233,660,102,071,492,302,491,
861,145,322,993,642,400,891,242,333,205,496,688,767,296,810,971,137,894,040,
084,977,688,759,833,453,300,133,759,671,004,232,094,214,628,903,090,050,595,
967,253,968,414,936,353,919,201,872,516,715,622,457,674,304,818,823,607,540,
521,642,588,143,323,736,984,433,445,998,191,520,384,518,656,828,064,184,810,
818,895,227,353,615,628,766,858,181,960,466,748,363,727,206,004,231,008,906,
006,300,167,077,723,933,313,084,910,733,125,187,531,892,958,089,736,416,417,
302,253,993,637,745,384,258,200,359,214,208,065,211,703,632,218,203,079,356,
716,106,718,640,319,573,844,923,589,799,737,773,547,229,954,316,043,223,544,
519,335,588,182,812,333,007,598,019,125,673,443,334,309,370,770,900,575,836,
309,676,042,690,565,238,597,616,752,786,774,209,380,447,428,219,312,506,905,
516,068,639,161,406,639,780,316,203,089,024,533,177,636,826,996,700,560,028,
663,199,260,991,816,105,544,370,191,980,099,013,087,477,876,107,174,535,264,
125,888,520,125,010,626,261,282,927,686,731,937,252,895,379,160,109,599,102,
748,634,299,104,806,522,936,428,103,041,690,377,245,015,243,207,634,500,379,
957,585,529,322,051,882,913,992,024,412,031,909,725,725,737,126,248,224,165,
304,591,979,122,442,829,054,067,817,303,808,931,683,695,111,353,907,701,125,
542,919,848,277,460,826,669,000,027,985,408,280,344,298,479,923,450,301,547,
415,219,526,235,350,994,821,198,980,072,910,841,404,592,877,761,437,955,152,
023,773,746,143,912,268,018,719,104,157,836,360,987,253,510,666,734,700,391,
378,256,894,748,793,571,144,831,796,704,784,272,111,798,865,210,111,760,285,
141,262,290,853,532,457,070,154,982,170,184,704,598,858,889,002,782,107,355,
799,816,895,629,635,529,672,980,697,370,683,467,202,476,450,068,266,862,572,
905,506,162,756,092,024,284,985,333,061,030,726,639,631,241,123,839,263,976,
900,412,584,744,454,412,643,515,787,695,004,401,055,973,791,539,780,763,786,
254,931,220,493,878,567,518,597,011,732,657,940,838,500,017,237,161,756,249,
861,274,838,201,864,792,436,317,437,792,902,551,750,036,365,796,608,570,406,
421,167,037,389,539,941,421,936,671,833,174,857,683,219,476,909,672,108,254,
968,934,656,208,970,696,262,757,363,966,520,815,424,740,070,080,592,410,922,
621,341,436,352,001,338,497,683,209,083,185,013,507,562,612,212,251,459,016,
776,121,052,068,437,865,110,577,589,068,067,348,921,520,447,571,907,319,964,
162,927,155,829,393,040,839,523,050,238,051,587,185,497,120,249,684,374,531,
626,274,392,832,855,009,720,129,954,131,645,474,364,963,658,708,922,875,910,
677,885,634,958,038,771,679,549,664,260,267,114,018,633,341,843,927,786,967,
804,682,118,819,099,869,456,897,181,491,728,989,474,675,468,301,180,211,216,
835,449,181,431,830,624,823,957,041,236,727,827,507,691,223,434,624,340,744,
086,521,934,233,975,500,906,190,973,491,354,390,029,715,988,094,677,632,201,
437,053,110,690,794,626,065,964,076,284,394,217,504,683,908,430,628,491,999,
174,558,779,525,503,021,628,670,043,271,924,786,236,402,931,075,756,891,710,
513,806,109,854,155,337,290,448,041,494,958,448,682,483,497,572,807,535,621,
294,424,955,171,142,192,209,627,938,532,848,387,015,474,936,604,086,266,317,
242,736,584,645,874,994,492,331,402,484,337,908,102,435,227,384,562,862,131,
524,035,812,010,517,166,542,008,702,761,548,747,727,508,426,453,276,530,411,
908,477,201,723,644,299,574,489,544,791,103,841,507,850,438,823,009,606,988,
206,251,994,350,494,364,881,202,687,165,573,854,771,455,623,719,538,492,554,
769,814,248,028,183,136,603,651,989,998,773,910,469,887,099,642,028,791,623,
037,441,985,947,048,734,817,830,068,947,736,894,025,538,987,743,254,703,070,
273,902,831,264,107,966,141,564,623,714,893,737,453,644,601,295,131,268,573,
694,408,845,058,363,947,013,153,955,076,331,062,447,754,690,213,913,440,887,
483,322,819,758,594,960,713,693,282,787,727,034,212,789,966,918,065,297,015,
734,494,773,415,009,935,609,092,663,404,148,618,719,755,960,178,342,328,786,
456,208,128,409,231,965,353,313,025,776,669,780,341,604,627,940,729,701,196,
613,824,189,225,554,650,502,338,895,796,573,606,813,933,408,675,264,914,526,
881,756,808,300,953,993,977,821,126,540,616,432,621,596,098,644,810,289,127,
414,768,834,397,631,298,986,437,710,517,108,513,635,283,454,533,422,250,497,
354,412,698,301,269,214,093,955,457,454,998,889,945,495,397,357,424,643,898,
452,284,845,315,124,752,278,447,969,395,245,999,887,134,018,106,278,987,785,
542,087,544,091,968,077,790,625,639,999,259,321,893,714,053,650,379,986,030,
981,712,196,263,235,891,977,004,801,222,306,403,601,954,879,318,065,494,894,
496,834,242,971,757,544,048,098,518,550,953,927,546,384,395,353,699,949,300,
212,830,409,519,391,663,526,272,413,874,331,817,354,634,097,115,588,555,136,
593,454,787,272,411,861,203,946,519,269,419,887,252,135,114,798,042,479,213,
160,774,968,775,251,951,474,666,064,760,879,136,771,841,449,522,799,432,283,
106,517,783,938,643,143,144,205,984,658,182,439,692,715,820,208,506,116,170,
372,536,986,991,642,167,599,535,849,645,012,584,707,857,931,020,863,878,189,
300,655,376,610,176,310,487,228,206,535,374,716,172,884,691,492,937,626,566,
249,921,249,506,922,890,275,788,518,776,950,760,074,671,102,955,197,312,195,
925,744,465,819,989,914,701,848,333,050,166,549,002,654,104,361,340,898,887,
260,345,381,649,284,742,049,831,303,154,270,076,847,826,306,968,953,204,863,
503,975,792,029,932,592,853,504,908,216,709,814,940,061,266,363,452,141,241,
779,857,013,306,406,561,221,483,152,370,423,073,762,607,211,093,236,305,035,
227,566,404,402,106,296,754,404,991,466,101,937,327,624,592,550,014,696,509,
433,745,364,010,989,451,936,369,122,782,262,598,551,530,483,312,244,005,866,
079,889,139,924,135,379,135,484,389,291,331,837,369,354,233,157,010,905,266,
443,276,733,482,938,646,767,451,885,280,288,553,234,284,846,576,003,940,113,
627,693,300,102,017,526,297,549,120,829,546,226,662,319,595,501,255,524,146,
440,104,509,441,312,932,035,239,035,083,064,555,052,420,861,022,953,554,744,
508,587,028,333,732,760,889,671,413,841,656,130,326,577,668,193,576,349,965,
801,974,262,883,569,816,690,006,757,707,050,098,381,443,096,426,004,519,121,
923,510,146,657,437,364,422,498,416,596,433,413,219,143,681,296,355,989,919,
495,968,822,487,372,981,987,309,952,610,441,949,930,826,826,582,203,659,386,
788,197,673,829,718,004,176,425,695,891,648,985,830,515,624,506,713,140,199,
464,192,355,398,736,503,666,647,351,227,112,225,984,837,666,394,449,992,699,
704,872,883,552,254,287,058,075,110,204,492,431,639,659,625,592,862,405,714,
326,132,191,858,556,679,588,623,328,340,407,953,107,631,246,710,319,783,115,
663,711,891,954,472,932,974,280,390,089,815,265,278,745,111,666,925,990,923,
124,018,349,800,352,270,190,807,710,657,816,026,004,440,875,276,578,195,340,
264,921,419,470,675,700,855,454,244,475,431,920,906,777,791,198,255,711,638,
847,412,763,993,612,136,531,245,883,531,627,936,572,541,551,231,194,611,489,
809,672,480,727,506,442,607,437,347,497,480,450,253,010,833,140,288,807,916,
181,644,930,842,126,504,625,405,280,038,378,983,792,307,351,243,362,500,195,
639,424,986,253,060,342,834,193,909,144,176,528,406,632,241,862,745,111,252,
182,255,689,697,875,262,025,978,353,179,121,290,975,858,735,397,029,290,714,
867,894,997,221,383,286,999,243,464,291,007,889,656,550,685,644,572,960,556,
705,278,507,727,304,831,086,547,481,850,356,465,272,041,766,130,663,184,036,
445,616,110,877,279,715,590,765,720,266,198,910,961,945,340,423,679,362,278,
393,671,311,676,901,542,120,670,410,202,530,211,217,317,336,302,887,191,356,
956,814,722,278,143,595,917,571,560,870,814,716,538,946,296,143,779,930,131,
482,334,975,198,059,694,410,777,865,262,509,869,235,486,678,525,873,721,716,
892,549,097,235,000,165,736,683,263,599,944,235,656,912,724,225,366,412,161,
878,674,006,399,458,321,104,832,692,436,346,517,213,617,719,067,903,542,655,
654,993,891,731,738,772,597,781,660,941,187,089,090,668,820,545,652,372,362,
169,775,056,344,232,573,057,297,047,393,842,072,695,512,500,733,745,284,171,
316,789,284,385,733,282,495,027,929,090,742,600,308,750,018,735,765,449,410,
607,479,415,322,912,707,407,111,819,556,988,215,744,592,169,547,274,287,952,
510,721,109,414,712,372,547,160,397,415,992,903,641,687,448,580,895,621,176,
056,229,221,201,957,368,649,809,502,354,318,470,123,574,047,968,325,525,927,
279,736,811,962,775,174,285,781,980,789,271,055,333,059,971,011,860,524,194,
406,048,244,434,897,557,361,941,396,725,139,573,881,147,841,798,275,941,287,
647,561,294,262,589,769,252,357,692,282,530,761,968,766,045,537,921,870,372,
204,983,016,082,496,218,481,943,567,858,534,651,751,541,079,357,978,371,271,
323,719,362,825,774,235,789,844,870,910,290,043,548,877,030,162,376,861,304,
568,554,760,371,730,862,038,733,519,064,570,013,000,311,302,960,920,315,641,
019,014,031,138,750,992,191,104,258,224,450,402,198,616,644,538,227,318,864,
463,303,557,539,292,890,002,242,791,132,450,540,540,108,769,637,621,114,861,
152,733,951,097,310,748,372,622,958,586,987,046,111,585,076,374,485,879,993,
616,171,116,510,775,641,428,275,663,597,811,792,092,814,414,303,005,217,563,
177,386,271,716,106,318,907,477,348,659,597,006,570,408,065,973,947,422,667,
032,814,899,848,046,696,820,786,094,304,607,008,998,525,080,513,331,868,214,
383,473,427,359,766,954,241,050,045,364,602,936,052,563,709,410,824,387,151,
447,855,878,551,559,177,718,128,003,409,371,824,033,637,028,300,023,705,677,
366,196,162,441,784,796,397,164,439,688,555,859,754,681,593,704,006,038,187,
430,355,366,030,382,005,762,053,280,870,703,531,291,391,721,678,082,623,158,
429,057,610,933,950,746,835,845,118,066,675,354,622,672,134,196,742,798,134,
939,733,224,878,262,286,568,875,605,674,047,483,198,031,299,059,923,173,428,
159,568,693,923,950,048,221,462,072,017,260,796,291,020,864,964,779,998,647,
485,441,228,197,944,441,048,375,045,821,862,070,488,941,599,685,789,991,104,
867,256,551,340,175,688,154,805,505,524,793,754,377,395,504,911,301,891,511,
366,066,708,759,022,525,626,791,823,284,102,000,106,560,645,359,590,338,680,
625,042,610,163,703,079,041,395,378,455,117,892,293,726,139,153,399,533,807,
893,075,205,109,089,321,949,395,907,900,329,874,133,787,986,068,936,845,425,
168,777,787,160,614,668,580,737,894,415,249,470,204,090,066,066,492,080,807,
639,504,504,666,463,244,359,137,488,562,043,176,310,881,958,448,060,716,650,
005,270,666,585,328,958,374,088,694,706,271,177,963,928,267,165,914,696,552,
369,606,018,158,048,504,431,864,767,638,115,203,828,436,259,212,590,017,970,
348,206,131,060,794,428,941,005,632,014,096,144,156,420,445,125,901,966,671,
584,773,199,665,748,113,960,813,861,989,808,202,894,092,617,327,731,384,497,
761,863,086,079,601,986,547,160,794,127,649,723,718,023,347,233,279,882,594,
744,744,893,892,462,165,080,540,438,299,629,392,771,220,559,932,927,843,795,
188,609,619,230,459,875,906,118,820,280,148,568,892,115,999,007,413,709,619,
059,949,459,361,609,235,839,994,681,712,493,233,477,934,285,837,172,174,041,
108,214,214,223,931,121,510,511,028,934,368,042,753,176,895,847,505,278,154,
241,304,347,687,802,346,985,948,330,296,396,621,398,933,242,932,078,833,149,
783,481,192,739,947,182,220,153,882,080,228,746,049,809,071,708,396,078,890,
185,760,457,645,178,091,341,522,156,620,742,688,835,829,767,111,116,858,639,
270,270,973,969,976,342,139,380,789,530,777,399,586,235,626,424,862,583,594,
620,834,469,629,658,051,900,674,460,673,502,600,970,733,343,070,190,176,690,
677,909,139,104,613,246,284,857,014,250,275,368,400,633,057,546,635,082,807,
125,160,712,301,463,507,186,438,835,415,007,459,159,146,707,495,389,828,230,
198,590,459,074,410,520,224,266,324,724,382,793,445,438,314,217,281,083,274,
989,894,326,784,216,594,826,355,614,450,012,728,520,901,550,370,498,488,916,
761,214,327,249,913,018,656,806,685,299,882,464,875,450,481,172,897,735,114,
211,896,740,474,982,568,962,530,805,476,468,140,814,758,410,902,938,042,524,
538,325,675,996,745,490,850,480,828,024,206,830,618,475,732,824,751,557,137,
431,428,580,923,689,327,191,974,100,827,099,616,095,211,805,267,376,121,486,
924,392,021,370,956,232,437,798,680,678,050,060,807,068,958,949,049,725,584,
334,342,821,000,008,270,185,303,268,762,223,903,482,040,421,678,208,894,864,
362,523,894,188,670,054,050,454,511,242,361,260,626,566,432,924,124,827,823,
661,274,273,646,770,918,348,033,394,199,039,655,874,142,746,940,113,940,377,
241,174,057,592,868,185,879,307,630,123,062,468,161,420,626,081,060,684,893,
743,794,893,843,336,791,927,914,584,803,231,430,312,287,685,790,893,643,902,
811,391,223,680,979,872,907,859,907,859,131,180,637,074,287,839,027,872,892,
512,330,720,520,803,140,653,675,014,966,392,667,839,082,094,813,901,874,657,
386,422,546,131,134,732,956,204,477,515,817,251,686,475,147,382,189,783,465,
118,808,954,044,335,233,736,280,534,878,225,787,832,269,432,236,539,508,386,
215,418,109,684,065,140,042,026,845,390,301,280,915,306,433,021,046,632,847,
671,731,435,697,502,748,731,697,233,136,224,328,042,146,818,506,962,877,619,
615,600,430,103,314,615,055,219,550,093,549,934,163,005,021,925,888,083,403,
082,752,265,914,857,177,950,400,012,194,024,101,287,710,162,959,463,575,928,
324,520,191,314,611,761,829,704,213,382,945,570,420,014,885,299,777,637,654,
868,671,932,934,742,815,504,549,553,071,361,145,469,922,644,558,447,193,028,
408,971,574,224,403,455,956,359,072,295,291,766,145,480,134,375,442,014,297,
953,270,621,647,091,107,886,412,329,519,275,066,580,988,437,773,345,482,400,
071,862,259,546,131,893,200,109,051,766,872,258,174,581,714,818,344,793,926,
300,979,428,927,796,639,521,819,267,918,881,219,775,799,572,203,964,269,415,
467,846,771,046,115,007,367,705,205,791,646,452,660,788,153,908,196,743,699,
555,657,298,303,858,935,738,455,653,437,953,483,385,046,721,269,827,269,683,
386,409,684,471,503,915,638,988,441,740,007,109,432,207,518,046,207,073,138,
592,109,195,687,151,717,106,945,820,691,302,717,806,060,379,726,500,568,727,
099,214,541,547,312,092,145,726,643,629,707,904,806,812,247,856,516,599,677,
756,293,022,404,401,054,956,891,073,630,975,163,766,053,888,951,627,924,981,
112,181,815,846,683,821,720,780,596,128,732,566,355,304,249,290,986,494,288,
308,078,999,157,144,380,395,734,864,550,237,416,587,428,808,280,298,995,778,
023,290,551,537,071,980,012,088,424,285,607,780,020,198,712,293,916,293,587,
286,343,092,733,904,366,854,982,860,202,558,306,539,792,651,668,380,524,046,
172,576,484,609,736,524,588,949,654,323,181,978,001,773,595,283,661,608,282,
581,777,538,574,262,648,723,797,537,434,711,968,167,503,183,473,823,153,455,
869,404,821,889,168,539,771,331,646,746,345,294,582,464,316,638,289,011,375,
501,863,785,230,267,803,980,533,657,164,479,631,713,423,960,286,434,994,699,
920,418,974,766,165,555,646,710,403,670,028,275,591,987,968,252,574,068,656,
073,167,148,492,496,896,874,565,392,593,160,638,535,940,667,223,061,454,951,
965,388,136,120,086,371,344,241,085,014,692,096,911,461,106,251,301,818,378,
254,860,148,829,572,319,512,249,688,187,228,572,310,223,479,744,306,585,371,
549,346,212,183,524,199,335,445,590,032,793,777,619,821,412,444,063,957,077,
996,347,879,510,636,003,170,281,616,854,098,541,908,473,167,230,102,277,580,
688,250,409,692,586,691,894,739,532,836,459,059,663,319,835,230,024,552,489,
473,606,683,172,295,033,456,036,768,286,767,720,487,988,549,660,256,757,935,
747,864,149,622,842,631,941,448,371,748,751,742,014,605,546,222,946,918,274,
216,472,404,512,481,058,061,270,038,229,406,263,820,752,012,054,568,406,603,
036,600,293,142,330,192,640,979,315,210,349,106,422,051,079,610,964,788,289,
025,007,777,582,452,272,318,097,275,297,373,693,363,617,600,198,084,251,777,
714,237,866,582,790,492,932,662,081,655,931,369,568,146,755,363,785,528,431,
579,906,174,114,963,421,843,557,245,513,876,555,312,774,986,919,527,244,760,
508,304,017,910,601,119,559,902,700,801,354,563,773,280,208,020,089,184,220,
415,153,905,971,808,863,158,249,168,273,637,656,537,025,313,388,851,542,045,
606,839,130,299,019,699,506,738,153,323,113,980,684,750,261,909,254,981,291,
386,714,579,545,715,640,904,808,524,940,055,183,407,427,372,013,467,535,169,
423,613,540,432,872,637,491,092,966,159,686,203,851,624,786,920,568,649,195,
875,986,243,327,870,649,886,541,374,901,044,104,290,841,921,035,518,535,604,
025,511,621,567,052,073,984,863,776,213,514,600,226,947,044,075,503,267,765,
477,424,874,278,101,482,964,817,039,264,826,967,148,872,451,199,607,798,036,
205,829,254,422,099,186,007,939,742,545,638,281,173,353,146,567,822,284,782,
878,448,344,496,204,099,229,449,701,694,988,301,547,464,656,511,017,321,827,
360,221,264,672,424,550,361,398,706,606,667,611,625,178,809,385,406,311,906,
946,921,234,078,658,776,493,097,807,559,205,921,114,015,255,333,775,935,485,
834,790,413,695,851,840,906,302,273,546,339,443,463,120,476,884,266,598,101,
307,274,418,985,907,216,556,304,469,989,319,504,742,383,614,218,438,706,992,
385,780,414,631,539,021,065,457,418,232,339,943,876,908,492,721,981,280,245,
968,489,930,019,225,280,195,319,128,971,656,613,150,807,326,551,028,327,751,
772,759,297,451,355,244,007,319,118,440,593,504,194,263,992,181,020,526,436,
324,016,724,574,868,985,565,472,779,146,417,407,886,592,140,871,105,286,729,
431,325,868,921,661,172,774,700,905,353,998,814,417,787,681,794,252,156,467,
985,841,636,515,523,595,296,723,288,781,859,380,685,860,639,038,415,425,087,
325,721,965,740,546,752,595,857,510,904,090,543,248,657,373,303,500,662,611,
184,161,433,637,053,132,463,056,677,462,747,226,318,848,460,416,614,617,268,
027,583,101,289,473,063,897,350,896,442,801,384,578,322,700,451,756,616,351,
202,511,974,984,008,227,049,969,840,030,495,371,842,091,964,261,881,280,014,
128,431,331,134,494,804,454,876,892,407,895,182,486,906,182,006,113,715,282,
313,842,634,426,049,231,005,578,048,841,969,702,925,962,003,190,867,678,894,
276,934,619,874,334,414,080,189,251,129,654,936,685,726,766,337,931,009,434,
988,973,323,581,301,123,432,479,013,836,417,522,982,740,584,691,750,146,028,
638,354,914,147,020,457,564,087,527,722,670,689,452,927,362,823,467,873,217,
216,461,635,091,204,720,029,703,167,526,954,571,465,031,395,711,488,882,150,
443,121,315,039,903,766,588,684,616,131,465,757,694,100,149,951,436,473,795,
946,646,299,113,578,412,722,217,459,017,446,691,868,859,709,546,112,335,160,
011,957,031,584,168,118,817,061,256,784,333,112,092,402,357,532,688,434,192,
080,542,751,922,890,644,762,388,232,719,043,876,827,328,742,783,399,377,918,
075,118,506,912,957,663,009,844,885,443,548,606,814,426,795,312,893,755,616,
372,645,356,893,667,185,846,443,250,054,284,404,678,216,237,764,245,630,205,
580,607,512,231,918,418,699,712,082,645,626,754,049,196,319,381,277,595,609,
165,193,564,262,517,118,435,826,309,154,854,895,516,218,743,464,146,540,985,
265,399,133,031,282,972,210,324,237,445,268,609,331,078,922,585,381,491,572,
753,013,629,954,249,502,367,041,964,124,697,505,248,089,666,081,207,897,481,
415,863,243,673,555,457,165,575,783,378,528,227,291,117,172,385,970,526,136,
944,141,414,621,528,523,517,724,287,395,194,728,546,340,869,240,383,922,289,
639,355,519,901,028,439,010,159,256,464,580,580,425,183,822,887,385,613,095,
800,275,370,363,933,186,834,253,055,257,202,261,971,947,256,839,750,725,455,
707,191,808,014,772,964,768,517,660,312,712,910,711,447,199,062,954,917,401,
105,841,307,907,945,427,298,252,776,047,377,647,993,514,642,650,322,095,462,
806,751,070,111,752,704,697,473,792,124,484,965,531,202,152,069,508,840,932,
878,674,624,261,305,476,828,671,782,347,076,911,332,973,836,631,995,556,053,
378,717,647,583,227,094,598,566,508,959,208,020,255,708,743,310,249,884,976,
169,729,809,946,381,907,651,297,558,614,186,231,000,851,240,955,218,268,432,
120,823,901,099,761,597,721,755,689,581,427,102,496,705,916,531,279,662,318,
899,500,324,046,325,229,094,751,025,083,388,680,903,966,840,333,147,848,297,
758,568,467,860,544,516,633,110,022,208,563,954,924,897,548,340,582,084,213,
317,067,744,182,619,801,949,541,904,386,798,014,609,774,537,807,864,691,915,
534,259,687,812,531,774,433,851,265,155,937,322,938,636,424,863,225,449,117,
727,843,170,562,567,301,679,419,790,193,928,076,326,748,984,914,561,641,228,
068,665,536,074,381,308,875,754,123,399,189,857,970,582,872,406,541,133,045,
703,756,569,286,148,303,734,479,614,633,042,105,217,491,674,448,280,406,993,
196,828,820,422,323,672,682,677,039,339,676,620,753,111,733,421,054,490,306,
618,719,166,498,269,813,929,168,393,822,919,513,014,056,495,022,713,734,488,
623,280,942,840,666,412,475,782,816,481,148,772,489,466,175,354,433,369,430,
509,108,179,481,512,596,625,542,390,748,832,244,151,494,423,629,881,091,205,
507,742,866,935,062,011,646,196,958,486,369,893,239,762,504,311,689,116,287,
888,275,387,896,440,318,919,071,109,265,974,249,090,559,758,706,084,853,434,
377,175,714,236,791,543,182,285,541,124,757,960,509,811,045,696,003,474,533,
840,099,326,123,872,799,028,663,076,462,790,710,464,464,142,359,590,983,570,
865,488,526,930,541,972,889,677,211,870,785,946,273,636,736,312,729,849,287,
583,720,370,447,646,936,420,675,228,262,303,038,301,073,322,487,576,337,179,
189,968,140,360,166,859,235,600,680,304,129,560,465,060,383,489,175,054,872,
362,367,026,945,238,912,816,309,544,630,473,756,764,445,392,696,928,852,901,
145,640,295,909,876,243,105,463,503,735,926,825,792,915,078,738,723,874,650,
833,433,862,464,305,293,309,692,802,819,697,908,391,356,954,109,356,922,864,
009,413,050,849,132,516,185,115,094,643,778,151,301,374,809,393,672,986,907,
332,926,218,134,132,816,306,868,265,571,004,896,329,618,823,715,734,287,310,
745,531,952,350,336,768,095,276,110,837,283,255,183,625,979,584,954,472,563,
841,741,135,714,968,311,039,919,844,683,990,216,549,139,566,958,672,500,096,
178,869,564,569,772,845,082,857,523,277,715,053,287,094,244,776,824,728,938,
345,092,320,636,255,788,953,405,981,131,916,839,620,317,667,229,749,861,228,
919,918,653,978,745,688,006,207,671,670,572,562,576,529,138,927,515,871,973,
476,149,876,898,853,834,492,890,013,948,711,912,059,895,506,249,813,823,915,
085,883,839,313,395,611,991,978,750,504,025,295,129,815,290,031,531,851,285,
158,540,105,306,986,190,611,096,168,143,350,096,182,646,467,595,709,771,470,
817,342,524,614,018,603,817,456,478,891,957,243,360,133,775,005,055,605,665,
356,874,929,925,857,126,442,750,889,608,131,832,094,657,009,969,654,761,892,
769,765,511,994,055,990,177,349,162,785,227,335,201,625,049,386,852,231,829,
252,807,146,759,374,196,744,625,097,487,742,871,885,921,211,299,965,258,896,
059,797,596,570,543,102,825,271,507,827,806,141,811,079,282,251,663,334,613,
655,761,901,697,981,077,167,105,656,400,066,746,496,950,695,674,570,910,596,
125,649,923,554,954,636,132,654,781,535,641,393,677,510,761,579,417,649,361,
813,810,568,611,553,630,721,115,084,213,467,245,339,722,627,611,951,503,703,
031,864,052,215,260,333,002,904,035,765,691,917,996,588,321,020,208,640,635,
140,997,827,796,309,904,168,111,104,577,773,430,750,452,998,733,663,018,877,
916,613,460,856,952,422,194,111,038,648,170,360,591,040,252,768,403,557,191,
318,337,975,293,816,683,933,058,946,084,758,741,764,012,227,184,012,212,769,
756,001,791,498,896,607,692,771,438,664,239,828,213,414,004,219,747,203,325,
669,314,599,034,499,143,306,962,000,473,536,740,765,027,778,648,610,067,111,
049,951,234,260,584,228,671,400,819,988,812,079,022,382,837,512,885,086,636,
868,621,935,843,526,251,045,507,062,298,487,594,675,506,049,571,776,190,434,
377,771,471,493,904,596,473,813,401,817,881,327,240,650,609,246,627,257,308,
748,452,085,109,451,070,657,190,131,198,698,864,352,980,090,366,271,202,432,
378,839,530,606,506,658,387,614,497,663,765,125,325,604,769,025,055,485,137,
759,397,634,171,314,014,693,597,302,143,994,486,108,320,476,678,430,751,947,
622,990,123,565,657,914,798,925,049,825,932,738,672,942,335,569,005,078,907,
290,740,711,514,049,450,897,879,800,244,262,995,327,466,388,945,872,020,598,
476,089,474,588,874,115,662,268,662,057,032,104,760,024,354,131,289,129,582,
614,697,349,415,902,984,861,229,896,333,909,496,003,040,208,959,570,856,391,
843,457,027,491,704,101,023,358,118,558,015,010,313,191,087,494,189,083,028,
742,767,018,235,792,345,778,507,956,419,527,424,444,358,747,888,518,706,676,
560,637,457,113,400,192,769,604,924,637,377,521,198,188,591,802,080,580,454,
268,876,332,745,604,110,156,546,749,859,317,297,902,382,270,160,133,030,917,
824,581,794,545,598,398,946,659,754,416,771,050,399,247,277,287,662,866,862,
652,281,765,439,095,524,167,188,750,520,026,515,742,483,599,231,437,950,418,
150,662,581,946,358,206,646,315,503,007,899,659,619,323,228,557,638,289,291,
753,354,109,158,468,894,082,024,952,122,670,463,630,309,924,195,685,359,368,
287,920,271,857,094,503,803,421,689,650,377,408,618,934,004,425,701,645,265,
900,945,495,073,625,084,058,311,019,830,304,101,153,679,346,915,661,106,351,
244,964,573,666,585,583,706,683,416,780,181,658,495,285,401,861,488,145,968,
974,557,728,318,657,226,037,146,337,940,963,880,539,866,163,041,188,848,615,
361,554,834,878,732,506,292,202,292,026,726,742,191,749,861,009,215,009,569,
108,595,224,304,078,450,880,047,690,263,186,793,836,792,991,366,648,668,572,
576,196,518,387,660,826,044,474,210,283,310,954,939,440,591,201,063,376,781,
029,150,819,742,534,682,639,035,352,155,889,095,477,956,143,158,039,928,675,
968,203,028,533,079,992,678,586,160,803,657,908,979,378,600,357,884,887,889,
707,329,862,604,189,671,752,045,508,319,365,104,543,826,782,461,241,651,690,
749,801,963,493,326,799,514,961,448,171,271,597,667,122,043,031,981,533,483,
717,523,071,100,998,200,979,697,221,768,934,408,064,241,911,758,160,391,733,
255,596,690,747,205,540,825,283,275,871,482,191,119,890,872,587,205,377,739,
931,053,470,300,920,262,996,857,992,349,524,778,286,674,710,645,148,221,609,
458,777,582,469,456,935,451,230,612,211,504,392,102,707,936,577,522,252,426,
726,100,498,990,932,012,314,005,224,435,378,660,982,143,726,127,284,762,754,
849,149,780,189,891,133,216,032,057,396,024,985,992,834,949,804,257,790,626,
320,888,416,805,577,548,089,853,204,523,138,664,444,926,553,190,595,450,255,
702,892,163,039,734,352,786,142,472,118,638,056,110,471,216,882,660,685,461,
219,487,320,479,423,313,796,894,870,797,049,544,270,110,503,208,901,140,788,
461,678,599,345,093,893,986,106,587,301,767,717,147,202,916,096,913,489,824,
621,267,384,884,012,521,941,975,295,224,617,501,260,952,528,752,930,553,339,
975,626,764,852,174,737,155,935,479,390,402,613,414,189,881,911,833,206,162,
636,618,897,808,869,477,154,838,664,449,264,454,164,715,634,195,995,814,149,
922,784,857,792,306,927,193,578,720,450,780,012,667,874,449,089,578,466,311,
195,554,018,613,193,033,703,985,410,335,698,609,748,413,009,276,821,606,471,
998,494,953,250,982,889,976,312,744,015,456,408,585,560,458,560,351,476,500,
483,403,199,430,083,513,333,360,844,346,464,027,028,216,400,221,394,219,052,
198,299,996,647,750,870,927,634,000,075,860,091,936,184,953,592,679,745,830,
343,557,770,581,102,006,588,491,996,529,992,627,450,924,015,939,265,114,707,
416,818,559,440,795,793,021,104,515,015,986,652,960,369,494,298,163,422,243,
607,234,862,874,826,606,210,815,659,031,402,453,121,768,452,236,307,901,153,
413,063,858,182,124,316,340,650,243,369,863,952,426,846,571,901,901,010,625,
069,124,133,160,779,640,570,332,522,214,864,581,222,470,116,308,927,638,781,
552,342,950,839,782,201,691,418,691,906,950,121,283,463,281,570,534,859,907,
475,897,330,918,736,083,170,650,768,396,393,864,000,211,025,694,178,179,605,
932,590,312,821,614,817,855,290,293,239,519,479,008,870,424,706,995,720,441,
936,514,170,072,655,053,808,705,769,223,371,018,926,608,338,882,791,168,213,
531,693,906,819,731,118,838,302,022,264,655,537,542,099,609,584,042,961,257,
998,229,266,483,838,965,783,866,646,900,264,348,717,573,001,893,551,270,595,
496,869,849,355,197,951,703,711,175,410,126,276,263,747,963,777,394,440,651,
865,133,211,045,376,672,436,273,123,621,918,922,809,875,551,298,143,788,797,
769,283,237,022,320,760,585,716,956,532,093,966,059,790,674,426,004,745,923,
193,086,957,276,864,990,936,688,903,850,104,415,752,445,983,246,264,156,179,
455,915,408,805,559,934,655,032,497,372,078,086,341,480,528,329,534,548,826,
600,006,237,750,009,225,193,841,935,956,811,846,882,476,186,086,953,289,468,
183,155,795,573,794,710,194,520,441,103,722,925,437,036,363,211,982,885,716,
060,395,390,530,899,293,991,325,582,650,441,706,186,186,397,090,976,024,104,
560,803,683,428,987,924,350,862,041,246,536,492,442,882,365,024,621,859,851,
206,443,792,708,201,579,862,919,775,431,620,942,466,521,215,770,653,351,830,
905,707,659,715,458,161,314,467,973,378,882,646,829,245,237,031,631,098,593,
781,156,123,453,500,112,467,641,577,247,502,134,237,128,753,432,152,774,665,
563,027,380,547,146,967,192,156,630,055,861,820,460,364,500,029,419,905,100,
932,703,355,774,309,008,363,734,470,423,065,539,361,587,658,364,561,338,815,
947,421,693,103,894,971,556,328,443,560,064,501,484,228,697,285,417,670,313,
702,648,549,452,907,608,437,594,079,347,084,268,907,186,314,280,968,856,143,
808,205,082,363,566,069,390,264,645,093,182,893,369,581,627,018,059,569,468,
011,600,941,937,138,400,880,189,662,649,870,510,906,171,625,670,753,714,796,
731,525,089,932,706,670,839,985,888,926,118,883,696,465,497,555,279,685,220,
884,800,020,740,725,003,341,717,549,863,985,862,106,655,217,562,281,864,618,
604,630,693,519,927,190,403,659,301,328,704,190,966,846,163,223,386,870,642,
739,638,567,827,199,976,470,473,611,721,595,558,416,415,193,067,491,535,789,
137,390,380,154,451,056,263,932,550,160,589,051,281,839,482,898,400,828,072,
463,900,004,661,808,907,947,345,459,237,839,474,305,152,213,658,825,608,748,
437,980,811,695,186,121,666,021,258,272,931,407,416,711,796,763,817,889,745,
410,128,686,123,633,633,461,736,230,481,323,441,987,750,515,371,569,074,753,
501,387,742,010,727,265,831,106,373,786,997,162,477,197,386,599,866,959,499,
208,118,338,146,545,966,594,555,155,600,016,573,522,373,900,561,604,480,206,
013,512,311,958,571,514,623,842,637,471,382,517,370,667,403,434,456,334,896,
882,703,215,957,547,573,647,498,480,742,196,411,684,827,384,989,032,208,563,
821,792,345,216,603,020,288,711,257,818,378,222,704,897,943,116,136,031,114,
950,263,936,278,094,563,162,816,231,310,756,601,473,154,349,412,077,291,997,
714,540,393,051,787,269,903,041,335,099,786,132,278,416,530,046,773,861,265,
440,612,254,937,966,920,330,386,374,640,830,175,409,030,742,502,421,161,816,
714,044,445,831,223,094,641,088,459,708,280,831,859,636,577,034,517,850,107,
891,053,055,374,882,493,065,350,969,196,482,886,880,685,262,539,626,034,644,
877,651,443,992,134,194,685,400,614,695,235,975,108,459,902,475,775,452,148,
130,858,052,279,012,676,165,593,516,915,311,350,270,018,554,488,697,631,917,
969,342,916,807,658,066,128,971,562,190,619,509,692,197,388,955,940,041,267,
762,056,599,678,343,094,264,219,015,259,598,872,876,946,664,253,737,570,326,
057,605,483,392,140,748,221,394,632,982,509,887,767,799,435,682,330,851,897,
596,255,276,967,513,237,679,527,810,087,986,086,816,905,988,062,374,336,960,
601,071,245,555,890,774,569,828,707,257,814,993,445,608,851,984,780,636,645,
873,340,479,195,635,251,544,232,719,152,690,611,107,444,396,278,772,670,917,
894,090,897,405,723,804,762,127,051,495,374,440,984,777,323,499,926,312,632,
542,577,232,432,185,206,787,219,338,447,316,860,831,104,388,759,466,008,844,
249,903,466,029,188,772,913,395,760,828,261,314,605,656,507,254,927,434,850,
179,400,681,183,231,587,521,867,378,791,680,190,364,473,908,650,356,215,074,
250,633,095,733,859,136,633,580,320,606,261,790,644,851,943,903,123,163,281,
739,773,256,449,304,446,758,227,250,455,916,649,514,093,666,649,259,953,436,
933,972,508,913,326,481,131,676,288,124,144,083,870,191,138,123,687,471,728,
352,533,141,180,113,659,519,320,596,684,772,177,750,725,576,225,291,981,805,
883,142,286,496,184,709,378,105,356,435,612,536,920,185,479,882,022,135,635,
578,206,485,428,703,664,130,978,668,948,214,007,671,835,675,988,641,426,542,
161,570,411,782,905,149,066,352,111,874,315,581,205,918,085,148,471,727,638,
143,994,762,970,350,293,938,151,531,984,680,850,547,322,879,757,023,205,904,
979,521,536,002,925,200,000,795,431,203,817,166,408,248,338,454,466,692,702,
230,457,928,874,887,269,265,541,985,770,758,967,765,672,392,136,281,841,469,
491,566,469,061,432,870,073,147,862,604,068,817,544,175,464,565,964,404,108,
439,457,082,226,824,016,085,013,602,048,754,497,012,622,334,829,917,696,449,
483,343,382,307,360,017,736,441,149,109,624,385,291,243,213,557,324,332,296,
476,575,302,031,992,296,476,228,320,497,170,098,815,706,703,832,679,830,005,
851,332,918,310,235,090,094,835,089,452,616,460,332,450,586,917,075,647,841,
945,054,511,935,914,795,689,022,781,728,438,858,259,763,694,915,468,154,728,
902,097,299,575,992,107,806,317,724,146,278,591,319,342,809,347,720,046,577,
589,156,746,959,600,938,372,339,279,970,744,421,865,064,125,539,635,984,711,
475,750,701,641,855,113,985,007,123,952,178,777,164,489,171,310,500,410,206,
154,369,410,829,140,506,785,158,003,329,281,890,957,490,325,924,066,494,696,
756,088,385,573,697,769,417,259,895,199,755,269,149,985,975,835,556,670,515,
917,405,828,938,002,954,672,545,156,551,873,011,981,449,743,609,323,641,002,
769,898,490,837,818,148,129,327,212,271,541,932,273,214,393,514,573,284,358,
929,907,983,630,636,396,064,682,833,557,227,509,949,817,722,960,616,094,572,
352,016,818,133,100,860,131,661,224,657,234,258,611,506,383,727,532,903,615,
210,729,286,864,744,430,371,541,628,529,721,631,258,802,957,610,024,091,264,
697,855,148,461,928,755,952,987,443,627,226,088,041,468,821,966,427,095,996,
479,967,296,771,698,570,000,109,144,623,325,641,100,531,830,277,052,366,534,
494,134,016,740,539,123,271,581,751,655,656,585,158,031,468,623,724,540,231,
665,845,260,908,699,493,172,186,634,389,587,496,672,189,460,840,882,223,687,
574,207,067,581,665,944,708,952,652,286,059,049,669,372,448,281,697,917,710,
839,349,924,109,261,362,873,321,091,708,871,442,704,748,772,998,460,802,375,
111,379,656,591,523,005,452,871,520,580,606,140,081,828,599,231,290,815,126,
238,960,461,574,400,858,223,677,333,913,962,470,851,974,643,520,419,941,814,
875,947,764,908,696,998,251,627,999,887,904,475,834,608,760,132,289,166,692,
075,795,924,151,705,095,032,977,112,680,531,694,249,945,065,731,075,216,753,
324,182,918,161,690,178,764,591,611,437,146,919,590,070,114,468,406,828,683,
332,374,329,879,785,814,064,430,666,920,415,594,336,806,529,279,783,289,974,
773,323,379,688,085,635,272,206,603,704,177,417,297,560,674,623,613,294,448,
997,473,089,986,980,568,314,990,262,005,561,784,706,160,993,564,607,565,041,
782,448,347,876,082,154,293,591,350,054,234,170,690,668,959,951,653,291,847,
415,184,071,789,070,026,624,551,144,546,866,588,871,864,609,291,477,517,766,
543,387,969,967,494,538,440,303,748,920,454,855,765,804,224,310,569,040,278,
143,129,562,325,387,421,417,143,660,520,907,483,433,889,700,860,182,888,806,
630,155,303,976,342,932,172,099,706,608,268,633,328,505,379,768,545,371,434,
369,877,572,357,837,664,584,932,934,602,921,203,171,146,649,785,017,363,829,
144,852,999,869,726,194,814,368,113,221,983,313,119,625,417,419,777,816,031,
527,602,423,375,593,146,729,942,275,624,256,487,919,421,766,814,349,485,971,
762,177,313,294,339,420,959,438,541,942,051,392,325,379,822,980,154,822,096,
036,547,342,825,432,197,002,060,012,174,003,234,205,050,467,497,659,115,566,
481,121,515,106,802,651,686,852,041,846,768,271,889,847,696,348,960,409,314,
280,447,393,660,025,289,291,661,230,837,721,341,290,351,659,006,512,003,254,
817,482,993,124,921,637,008,659,556,370,967,405,592,191,476,382,267,103,842,
474,978,332,099,497,420,683,897,406,803,777,155,209,969,536,798,579,355,742,
592,153,163,809,273,466,209,571,594,939,765,252,055,379,845,877,144,389,292,
000,794,455,165,408,625,604,183,191,808,475,067,672,119,305,128,483,076,394,
051,639,127,539,477,684,240,083,091,606,218,571,680,846,397,129,233,103,174,
078,428,500,099,124,219,290,960,506,424,690,487,617,113,825,776,901,862,610,
418,155,707,864,750,240,801,612,187,238,872,760,972,138,657,758,140,494,009,
137,600,452,204,597,166,020,099,028,644,543,474,840,064,252,290,993,191,816,
952,196,933,596,064,017,239,890,696,410,085,727,305,097,798,764,089,685,767,
635,014,506,126,155,988,548,653,792,182,411,276,892,599,418,863,333,929,045,
601,206,381,338,257,288,008,002,535,294,144,979,901,260,250,819,575,283,822,
885,719,882,728,178,006,794,417,633,803,300,211,330,894,337,224,615,905,788,
943,986,677,018,919,464,465,923,122,558,209,410,755,776,404,165,299,037,389,
506,049,004,864,283,260,465,839,404,457,881,104,154,972,176,942,857,148,898,
918,250,892,876,785,841,069,070,407,278,718,321,680,782,396,571,963,210,946,
215,403,233,016,890,190,739,240,317,825,444,434,740,909,346,537,789,435,646,
667,333,446,064,020,729,394,036,623,098,632,770,039,406,296,505,034,481,859,
264,145,885,180,083,326,887,539,683,264,437,167,738,530,820,824,309,460,672,
080,461,505,875,522,664,691,847,894,737,357,785,043,182,868,651,776,205,305,
079,191,361,734,246,832,382,936,297,999,545,681,547,188,134,293,124,008,991,
751,802,019,257,851,910,135,198,396,007,507,252,601,336,209,460,329,325,130,
683,531,008,270,557,909,022,297,772,401,145,443,215,757,360,180,936,239,029,
115,642,448,512,019,968,062,149,442,313,761,294,573,829,999,212,377,745,839,
887,375,522,559,011,964,851,557,312,698,567,424,485,488,600,885,303,366,747,
119,749,970,984,027,570,356,719,921,582,875,285,735,092,043,036,826,972,752,
032,755,465,084,847,402,919,389,490,618,904,124,639,073,533,001,816,676,660,
716,813,985,946,780,496,916,412,077,718,923,102,237,689,159,494,596,910,584,
992,211,721,562,845,425,980,362,096,160,924,642,591,548,959,413,973,364,002,
559,545,333,100,615,041,190,610,740,927,926,992,896,992,270,276,948,242,906,
016,442,497,296,968,031,069,530,743,066,625,768,392,740,759,537,400,286,311,
773,316,698,769,877,046,620,657,312,771,846,640,201,365,119,296,897,889,655,
051,136,888,841,272,860,358,605,904,238,148,891,546,820,016,902,860,303,655,
709,895,353,773,126,259,806,112,026,951,688,817,397,369,252,820,704,750,600,
018,522,599,420,355,707,141,989,119,532,929,190,027,328,449,510,172,079,988,
016,269,993,379,966,337,027,666,457,872,941,036,151,516,347,089,012,779,435,
187,734,365,241,686,472,365,105,427,662,069,241,023,520,927,509,072,656,063,
115,745,225,393,550,243,661,584,428,111,981,720,980,385,860,557,923,889,806,
619,092,851,513,070,403,391,879,069,812,964,922,612,849,800,279,707,985,868,
722,104,828,615,335,108,055,348,124,994,086,287,958,008,245,792,347,554,140,
909,925,355,051,062,290,843,139,424,207,732,868,156,009,028,053,898,617,233,
514,995,469,628,062,588,887,446,040,731,129,859,607,231,108,447,248,409,320,
197,095,971,173,678,999,806,402,062,034,730,874,036,774,588,198,878,930,008,
846,249,709,270,879,483,096,666,884,558,819,854,431,418,612,670,533,296,555,
331,790,549,089,037,190,289,283,428,423,645,511,147,801,602,368,234,786,758,
635,814,688,375,653,585,833,271,267,697,299,364,054,854,681,071,502,955,404,
878,000,553,697,928,446,404,741,605,104,572,102,878,241,203,652,394,978,807,
972,442,003,870,616,519,391,169,523,101,713,173,795,365,426,923,026,513,056,
599,730,358,105,510,351,939,015,022,544,475,216,207,473,194,307,184,730,150,
324,178,778,417,966,437,291,008,588,866,160,501,546,924,607,063,849,757,712,
883,793,940,576,143,838,667,809,565,984,453,247,301,694,048,297,177,552,115,
401,299,656,945,733,742,525,396,324,088,274,789,820,041,805,028,076,850,552,
633,867,510,284,046,736,611,137,472,412,885,620,433,645,394,470,519,656,183,
081,788,898,317,401,362,159,777,144,868,192,927,748,171,519,358,677,343,794,
514,830,079,048,669,755,834,778,059,168,784,939,307,915,951,109,086,690,654,
427,120,012,163,441,413,375,789,087,333,401,596,707,162,066,405,061,931,065,
863,526,231,446,116,664,432,522,782,195,541,774,274,391,233,267,089,974,980,
525,670,533,925,839,611,857,618,936,595,622,287,849,607,069,235,278,717,962,
727,315,245,970,373,589,321,786,211,474,738,988,075,414,277,821,683,395,289,
493,617,067,221,566,996,360,481,691,217,125,109,547,791,874,273,920,367,316,
091,241,999,596,232,108,887,504,947,094,001,899,443,755,396,212,778,037,361,
847,298,492,785,944,521,958,067,775,253,269,181,498,261,008,783,391,095,532,
862,986,846,514,955,953,725,444,221,318,338,629,080,366,634,564,737,566,636,
907,076,087,041,756,294,744,886,787,908,814,070,257,292,340,497,318,004,412,
034,020,380,166,876,742,670,108,632,534,574,566,951,181,087,912,420,188,008,
965,930,478,543,274,145,329,751,745,410,421,124,181,918,556,067,472,832,941,
103,563,339,567,718,958,519,671,018,583,063,682,398,752,224,158,003,252,614,
242,352,393,597,255,200,721,647,449,151,843,588,874,475,725,128,243,148,404,
404,480,239,950,175,924,751,097,351,490,200,327,061,480,595,058,273,206,387,
578,344,568,079,845,998,094,058,444,417,891,054,787,916,724,585,000,978,578,
109,820,357,720,784,952,236,785,623,726,097,764,969,570,821,479,797,095,922,
233,107,296,559,234,708,404,583,150,515,805,900,141,146,029,843,443,339,460,
043,119,033,901,582,898,980,857,291,363,946,620,138,641,153,916,493,683,554,
387,676,437,374,876,795,537,581,232,700,464,195,422,043,318,377,202,323,385,
166,818,102,539,997,991,218,081,304,541,763,718,251,323,588,815,047,382,761,
338,276,013,501,755,572,476,559,939,609,597,478,279,686,039,944,533,361,196,
091,627,562,180,443,656,189,606,128,907,189,100,303,500,777,773,661,788,102,
728,601,283,515,761,489,689,803,866,172,284,686,144,282,548,883,697,927,898,
610,682,891,530,446,240,238,017,357,475,062,478,847,946,584,407,089,591,887,
380,794,478,165,027,034,436,994,855,336,731,640,053,837,916,876,110,844,952,
091,298,125,017,433,054,507,997,199,638,830,145,007,208,687,044,784,328,262,
247,143,983,334,960,216,202,960,034,322,518,609,919,262,818,374,037,834,634,
447,266,009,942,618,117,037,317,421,942,451,285,245,444,585,507,915,816,721,
905,407,907,459,531,771,965,025,714,136,228,845,518,795,512,387,798,054,035,
753,794,698,880,063,840,302,996,666,999,785,556,618,230,413,055,102,322,644,
727,346,783,196,163,028,571,652,491,131,545,844,592,493,867,502,139,613,301,
899,778,898,703,066,911,122,653,948,119,997,420,933,883,981,911,023,673,753,
932,562,700,138,252,118,866,367,793,846,093,464,435,862,839,156,276,895,307,
541,170,058,283,756,676,136,086,185,918,473,564,342,141,359,700,199,991,999,
222,002,009,210,906,086,635,993,147,288,130,929,211,369,516,526,737,384,333,
855,605,754,507,475,934,235,273,332,913,764,043,113,180,393,008,262,188,960,
285,114,026,690,331,386,783,618,969,699,666,406,503,702,150,085,274,386,029,
962,858,614,358,255,996,256,080,638,070,938,953,939,962,250,512,206,112,003,
159,212,259,446,944,678,138,463,298,211,289,340,812,634,712,679,954,961,460,
520,712,066,649,593,208,657,982,886,979,145,399,765,945,768,740,837,847,390,
297,269,169,920,283,391,057,600,845,040,072,084,989,959,338,284,674,227,917,
312,461,462,674,624,945,016,215,023,642,774,032,114,261,057,312,645,020,748,
981,171,055,984,779,956,193,371,575,836,056,412,646,099,343,332,773,556,873,
720,737,434,203,804,635,643,767,128,436,718,275,390,856,875,505,563,874,016,
739,547,436,796,706,924,593,374,784,624,160,594,613,052,799,070,171,006,111,
694,506,818,391,198,899,247,526,950,038,590,055,327,888,772,311,120,827,044,
357,738,329,803,472,052,424,160,719,425,515,896,247,787,884,677,385,099,279,
807,733,823,339,951,223,578,691,253,180,610,597,966,633,532,484,537,100,157,
890,785,429,206,799,959,000,840,686,881,620,897,915,090,325,666,082,393,014,
079,470,012,604,678,549,010,238,942,352,577,352,750,370,723,556,655,427,075,
451,811,864,884,083,004,762,364,511,327,306,675,257,362,363,494,785,643,013,
351,396,645,166,211,696,617,637,008,505,442,475,896,143,268,199,239,167,543,
638,198,429,317,677,819,643,032,752,747,669,122,479,588,661,059,140,303,741,
774,291,954,319,614,330,527,321,337,351,634,412,787,817,804,812,397,053,679,
658,616,145,044,817,456,835,554,659,006,033,631,706,409,103,038,688,767,189,
060,101,153,501,106,668,876,372,489,952,565,854,104,869,237,271,125,679,232,
658,296,679,454,745,279,475,005,157,880,187,108,128,911,467,476,039,269,465,
774,311,537,624,125,236,659,833,437,050,337,067,095,558,606,486,674,611,012,
322,309,119,822,109,700,198,015,498,166,530,987,658,843,401,590,787,406,921,
961,183,587,132,172,347,181,186,402,252,030,764,571,668,268,096,478,798,038,
558,015,949,594,611,285,012,679,324,565,147,748,500,295,424,298,409,617,480,
842,007,435,602,126,437,129,755,134,892,358,636,690,704,510,935,827,455,347,
191,360,922,983,570,721,730,587,390,738,077,836,041,373,065,408,661,739,650,
227,919,484,143,383,332,059,158,041,128,063,432,439,804,765,263,769,402,163,
398,297,269,244,456,892,973,193,609,194,256,710,205,283,775,756,885,442,583,
005,631,125,879,820,787,298,193,651,315,855,031,947,355,549,201,797,498,365,
809,658,646,203,970,196,458,504,048,396,676,662,791,614,103,445,405,133,339,
351,790,273,651,279,903,417,893,347,554,274,198,797,256,824,689,044,528,777,
598,863,932,589,000,416,727,044,977,352,335,460,733,111,820,743,793,856,009,
770,820,585,598,220,750,750,989,213,527,096,494,307,139,032,378,493,410,098,
978,520,777,888,934,641,897,277,216,883,475,003,431,157,444,531,521,660,341,
720,542,434,368,049,328,789,616,972,902,292,807,423,423,224,266,407,453,303,
222,204,365,646,586,183,373,186,556,904,977,508,609,001,321,872,127,918,638,
251,046,471,370,546,402,717,596,101,345,845,010,311,783,513,844,560,576,794,
835,418,606,048,733,389,177,315,918,939,650,382,554,353,134,481,820,560,344,
589,071,064,375,472,424,708,031,536,768,879,337,919,083,092,016,624,560,483,
759,543,538,437,131,417,150,786,699,414,759,006,865,461,513,198,997,844,731,
512,944,564,628,255,158,614,754,523,174,728,754,368,283,328,668,507,970,334,
665,109,256,251,121,084,184,861,015,081,960,293,042,011,910,196,068,999,368,
267,552,463,778,009,105,082,404,652,422,209,356,187,216,186,263,272,582,448,
601,311,741,176,919,259,511,280,653,130,113,477,721,575,653,269,252,410,884,
277,405,511,653,014,595,739,884,716,389,502,611,828,481,859,568,701,894,234,
694,186,398,079,479,719,582,601,978,033,934,673,984,846,872,134,805,293,913,
487,848,202,358,439,102,129,001,652,014,085,810,571,922,148,327,307,887,527,
792,634,412,760,462,015,037,470,261,059,599,408,246,284,576,945,012,859,167,
897,620,309,903,046,348,457,106,562,812,625,482,154,706,491,476,553,556,851,
516,121,108,042,349,682,789,049,092,369,623,617,356,897,438,136,580,159,219,
436,932,644,152,953,917,101,012,918,830,068,792,497,170,005,943,020,469,306,
659,710,122,565,262,243,383,172,435,591,920,655,103,318,942,720,422,566,763,
801,281,717,576,451,613,375,379,084,190,850,894,645,466,597,608,087,382,860,
902,414,886,816,766,705,398,968,890,382,368,238,561,817,138,305,436,665,137,
709,405,309,852,992,494,786,317,686,474,264,986,634,514,544,663,372,078,842,
769,390,229,597,695,820,956,342,666,986,731,752,665,279,869,384,489,301,425,
836,831,564,497,261,345,351,659,455,371,448,795,326,485,824,859,204,150,681,
425,910,524,077,264,416,754,373,019,263,135,066,087,621,868,419,153,538,375,
980,104,395,810,281,092,919,721,202,834,550,636,033,900,648,764,175,563,002,
342,192,857,536,682,469,492,512,998,676,259,023,416,583,455,850,809,661,299,
323,547,863,635,388,741,612,562,380,611,501,054,926,651,873,119,201,311,200,
080,840,930,686,706,616,883,308,732,673,041,464,850,698,270,933,399,147,660,
874,550,327,384,360,595,455,878,643,635,542,510,614,549,816,436,248,112,723,
665,779,696,981,654,795,347,851,477,825,119,403,653,753,688,258,857,689,221,
324,717,839,447,798,032,770,895,628,138,529,835,403,946,787,720,654,172,936,
056,024,649,350,013,551,165,978,902,314,912,490,342,554,782,312,996,792,975,
718,528,950,068,585,593,841,164,126,840,108,698,429,476,263,225,773,300,926,
348,638,934,104,446,529,220,540,693,414,349,025,290,608,923,376,055,059,873,
608,983,451,469,921,135,423,461,356,508,067,547,897,850,001,186,402,764,666,
738,024,822,717,500,457,604,332,536,805,347,443,556,928,705,182,707,350,848,
428,178,629,778,907,341,693,045,850,622,730,854,533,914,648,388,540,098,301,
806,349,643,136,111,420,989,485,163,657,050,516,053,764,981,850,320,502,383,
208,879,557,373,987,067,923,501,220,495,760,295,128,229,515,574,074,656,919,
225,335,457,264,347,304,034,699,260,426,908,026,342,522,473,390,370,805,636,
419,707,428,132,733,116,038,216,887,387,428,317,499,806,831,883,063,848,298,
385,558,228,827,238,647,882,312,094,841,670,960,633,095,410,209,379,688,882,
668,895,683,497,747,062,730,057,160,825,896,951,970,766,794,075,080,962,556,
574,345,150,907,203,245,535,544,392,114,721,124,671,415,854,771,600,854,180,
519,675,168,154,696,342,279,872,575,524,259,373,689,720,091,327,287,459,031,
991,431,153,910,125,636,588,385,807,227,054,324,584,544,128,156,665,619,696,
504,073,679,052,885,135,507,045,020,456,871,304,797,952,295,864,739,132,258,
330,344,269,834,210,212,723,960,367,784,046,448,611,247,027,284,266,615,735,
528,758,392,779,943,087,420,960,102,973,471,989,162,807,566,247,787,574,156,
562,257,913,047,191,780,030,927,093,082,255,195,267,710,137,200,017,660,655,
653,777,341,174,786,972,411,370,015,852,473,699,615,983,063,986,682,058,318,
364,316,779,967,453,734,960,309,962,353,414,648,264,488,764,779,964,701,877,
598,321,654,296,992,457,789,157,351,119,219,966,604,928,763,591,077,122,889,
132,897,620,276,947,613,947,796,371,401,104,864,407,406,393,402,797,178,787,
566,428,497,891,921,526,933,314,650,687,829,340,363,285,785,469,279,660,702,
403,806,077,891,026,832,073,348,999,324,719,701,797,827,144,538,801,844,910,
426,236,642,633,049,717,345,462,351,641,200,943,424,157,075,796,115,634,571,
722,524,906,965,861,844,219,101,747,510,794,515,885,594,431,460,149,732,951,
657,832,384,362,048,324,717,202,417,165,816,154,442,659,524,288,822,309,310,
074,806,301,994,275,270,936,857,963,939,545,789,779,524,456,572,975,534,825,
762,403,650,975,410,309,181,767,494,593,378,686,675,900,442,985,433,751,191,
719,309,685,238,433,224,301,900,839,428,073,595,143,399,177,457,250,378,651,
104,523,022,070,252,888,721,308,876,806,951,632,966,609,581,167,911,371,253,
164,178,222,946,169,701,975,701,777,196,424,775,606,353,534,594,669,741,270,
628,604,758,887,653,173,883,320,438,445,053,593,721,770,861,106,373,981,447,
609,625,112,668,334,640,641,791,681,345,909,040,612,733,869,794,345,413,075,
532,050,456,485,817,355,119,052,726,736,466,254,406,303,989,265,151,297,110,
933,001,166,217,734,213,798,508,399,558,172,326,407,957,882,046,670,478,725,
122,152,411,784,086,262,167,354,027,255,239,843,126,521,366,566,320,015,981,
086,948,425,055,417,387,955,109,289,010,510,307,159,360,474,948,043,359,383,
295,975,868,409,127,964,201,882,307,022,803,760,156,765,459,260,384,129,101,
895,465,605,446,886,187,073,608,800,508,982,721,572,991,359,474,078,399,700,
441,414,338,551,198,282,862,145,919,977,841,332,894,546,301,245,120,366,035,
662,220,174,298,782,332,897,776,054,087,915,423,977,552,872,745,806,605,290,
061,165,069,457,562,800,771,234,398,840,309,796,764,585,218,949,448,064,695,
408,138,237,489,251,735,239,604,902,340,287,275,695,502,426,243,509,604,556,
643,929,640,999,039,935,392,840,453,245,905,393,055,085,542,760,817,921,447,
521,416,084,480,564,897,889,272,627,915,404,341,438,445,576,073,321,715,723,
958,415,949,721,044,590,162,967,528,720,954,592,591,830,213,401,980,021,726,
853,166,042,573,986,177,268,858,918,741,230,876,204,692,298,220,419,739,684,
265,906,720,839,379,458,679,066,773,555,469,867,516,107,550,913,401,105,720,
421,485,474,807,323,141,257,935,611,175,849,917,142,782,431,884,161,991,087,
610,699,897,350,600,999,995,046,387,165,108,401,448,521,211,988,439,048,602,
843,051,130,986,042,498,850,475,906,863,961,555,208,319,735,241,431,814,758,
829,084,904,056,518,405,703,369,747,875,242,720,110,650,720,086,874,094,447,
902,058,648,773,728,716,522,042,525,043,640,650,979,906,058,518,760,718,218,
576,636,445,041,280,075,746,520,279,026,487,045,020,772,092,119,787,312,966,
786,804,396,610,148,702,900,776,789,768,697,738,709,316,586,126,712,438,169,
855,379,800,868,660,263,897,028,727,799,192,168,062,361,042,299,044,217,633,
475,927,960,786,209,999,825,902,449,443,922,263,011,195,176,414,914,375,213,
529,313,700,281,119,698,185,039,715,752,894,006,899,143,011,991,832,440,948,
157,205,264,776,885,502,152,725,648,048,594,019,586,808,789,568,570,798,038,
805,188,986,998,376,382,491,708,867,561,987,105,690,185,136,703,058,741,392,
719,785,635,003,229,694,850,025,660,183,793,673,177,312,173,556,407,063,482,
241,377,951,184,260,724,180,768,575,525,827,786,782,710,681,887,360,690,374,
652,231,183,295,863,035,464,661,843,897,530,439,773,665,807,882,650,866,216,
885,665,450,480,310,528,071,771,870,700,980,529,987,841,835,992,215,673,643,
663,713,412,828,589,919,897,699,707,613,577,090,494,911,764,446,497,980,961,
051,794,164,376,649,811,357,471,346,660,763,569,980,383,976,335,374,519,585,
963,836,385,163,045,101,272,764,840,565,956,547,673,284,808,729,420,471,399,
051,063,332,774,252,991,304,554,427,853,882,496,060,152,586,814,679,742,653,
514,987,049,797,016,163,219,089,725,715,256,885,956,433,091,749,868,444,812,
539,665,861,807,031,507,683,604,417,880,641,325,756,322,352,678,082,589,565,
090,688,871,314,616,318,325,788,602,009,676,673,162,510,533,123,736,686,774,
336,313,332,379,628,256,003,841,160,697,399,356,936,921,762,205,725,058,625,
251,389,222,516,914,155,809,380,117,972,434,724,454,347,772,117,403,159,394,
744,266,073,103,136,582,115,454,692,339,610,563,566,812,233,908,089,196,379,
530,018,504,747,652,540,621,763,275,433,432,284,756,465,545,190,613,943,268,
492,213,271,260,359,102,161,016,837,173,836,405,839,243,541,077,319,384,818,
827,414,166,370,526,029,663,138,421,995,688,560,423,371,099,161,276,717,454,
090,051,218,243,850,917,357,124,320,319,689,624,322,678,599,835,319,453,269,
297,883,302,445,117,063,604,168,803,279,635,349,490,271,529,468,933,859,944,
563,058,997,089,493,063,913,532,431,696,122,811,963,602,075,599,282,992,119,
869,226,224,748,195,503,513,026,453,247,214,034,345,781,834,459,948,920,784,
434,112,776,830,532,206,620,659,784,409,574,083,328,440,092,693,899,147,325,
291,302,701,820,376,275,117,688,751,439,261,347,385,396,875,244,005,475,897,
851,513,190,471,722,504,075,842,489,060,655,053,401,947,575,878,085,277,704,
644,827,128,930,467,318,970,972,365,307,685,171,998,061,193,130,438,553,215,
150,797,570,924,821,157,034,229,544,132,830,423,080,303,447,910,689,944,267,
215,539,051,431,002,669,909,395,248,102,968,743,344,919,736,672,447,240,789,
899,379,250,927,384,403,767,529,641,104,787,102,011,631,700,582,270,328,740,
356,847,527,012,110,954,112,484,528,850,507,694,368,506,869,950,156,096,225,
364,176,808,031,269,158,802,436,534,120,510,551,913,652,963,794,523,589,060,
946,345,647,133,335,243,938,980,685,062,066,957,845,554,335,131,380,034,821,
406,701,809,008,183,040,201,488,989,348,242,150,992,825,024,100,930,775,021,
454,530,980,324,621,289,524,494,349,797,596,542,766,587,929,467,113,800,563,
952,156,349,412,080,468,757,448,428,649,416,402,987,299,344,399,659,910,302,
150,961,672,792,330,949,678,392,200,869,790,391,788,218,072,377,386,193,296,
680,203,350,850,800,430,319,037,493,981,606,073,008,790,001,624,479,865,112,
106,036,187,289,038,922,637,859,285,264,453,491,019,721,129,964,409,477,365,
804,830,952,658,769,019,905,186,470,935,914,443,192,464,398,444,322,381,590,
632,069,715,787,056,888,129,271,011,858,409,102,076,918,035,187,338,151,568,
013,286,873,730,365,387,974,204,892,061,934,003,480,630,489,159,508,692,777,
043,673,844,390,188,369,830,844,297,477,952,246,879,054,391,960,482,284,925,
506,621,054,678,238,645,532,544,219,389,548,783,803,563,467,936,304,340,310,
549,568,918,944,915,851,748,443,481,348,901,467,977,773,900,205,853,202,981,
536,154,691,936,353,196,779,887,535,991,522,021,738,121,155,822,676,337,619,
890,006,449,439,317,583,144,975,723,856,607,031,960,105,411,932,250,418,354,
486,465,355,722,690,768,768,824,826,772,286,909,537,315,961,704,468,732,763,
058,608,471,646,717,823,326,848,929,302,552,061,570,186,579,662,684,666,338,
859,843,250,521,302,879,623,024,764,978,985,183,682,740,917,376,211,608,908,
674,003,252,830,186,553,715,919,083,770,623,321,583,689,407,732,692,062,882,
943,777,043,105,263,923,598,224,983,784,195,278,053,650,723,821,529,814,732,
195,589,104,956,402,626,192,829,896,841,592,999,292,037,575,024,321,334,699,
023,277,220,706,599,067,304,528,223,410,481,611,911,675,293,674,024,727,102,
193,595,115,333,516,257,829,814,951,402,050,362,577,590,172,845,728,933,125,
208,099,920,024,596,103,392,870,373,811,832,221,331,805,264,287,481,326,911,
082,084,763,713,820,233,575,912,553,200,239,745,768,420,368,160,647,782,750,
694,941,037,175,956,630,973,621,481,678,256,602,276,466,028,327,349,896,767,
817,614,969,068,484,819,638,096,068,751,158,335,753,152,243,012,031,004,031,
226,214,201,350,720,865,352,219,817,035,802,968,270,350,694,875,088,436,634,
626,994,282,504,099,246,112,234,534,731,679,747,213,484,327,681,754,129,618,
865,466,418,023,000,799,693,544,339,523,763,960,228,628,462,730,737,283,122,
856,482,092,131,700,175,894,875,981,934,984,829,886,924,455,115,584,611,513,
323,889,064,478,697,173,753,075,159,581,100,526,299,561,572,718,444,095,287,
912,849,356,692,111,059,813,317,750,712,134,545,604,570,207,444,527,423,494,
432,596,129,550,914,861,807,389,460,425,226,862,691,532,019,040,669,951,470,
780,169,434,769,860,897,667,219,145,189,276,142,937,689,324,389,323,653,140,
800,434,549,118,719,287,970,032,839,681,384,883,141,769,086,334,016,206,847,
626,710,410,969,967,303,457,764,590,957,822,600,317,569,831,367,441,925,213,
751,591,337,431,019,569,661,322,413,054,607,968,680,058,503,873,083,125,315,
333,517,192,478,581,520,062,897,974,289,880,657,919,553,130,294,869,715,915,
353,810,136,743,414,301,557,667,340,557,165,554,654,688,198,588,424,866,204,
875,712,007,984,793,270,283,756,552,746,444,537,445,819,173,558,821,579,629,
101,578,548,316,132,335,309,107,499,089,688,872,530,578,205,800,683,876,413,
907,124,071,753,562,373,715,297,942,591,715,789,845,903,402,640,690,581,254,
780,834,920,302,755,857,756,197,633,496,239,006,594,128,632,165,988,701,154,
244,201,434,150,392,342,385,853,964,349,623,758,980,299,367,506,208,953,049,
697,026,481,595,390,894,034,521,534,688,204,783,955,407,218,810,573,004,717,
328,197,172,045,026,653,116,882,671,211,305,438,307,203,116,239,902,872,409,
838,525,588,568,537,463,254,741,508,228,187,603,594,689,795,584,073,067,661,
266,042,417,828,511,126,136,103,595,260,008,391,828,203,010,480,341,502,207,
468,759,229,474,537,855,584,497,806,188,719,155,312,839,826,427,543,236,921,
178,981,492,277,035,590,231,639,061,053,318,036,702,925,583,805,432,954,195,
147,055,887,756,320,382,970,898,316,825,628,801,404,514,980,571,846,002,264,
447,857,667,878,965,001,117,032,261,946,663,324,389,678,633,659,969,557,964,
579,213,612,500,591,036,168,210,409,656,554,479,048,981,213,095,870,564,820,
086,863,739,921,542,933,028,435,248,745,434,278,331,153,162,652,725,630,417,
525,650,131,003,950,152,611,878,568,063,610,925,689,193,830,159,446,091,938,
080,594,225,058,679,289,282,729,315,144,281,609,376,133,957,394,520,608,543,
171,760,770,918,803,812,307,052,995,139,448,806,384,675,100,279,371,479,721,
026,950,072,463,732,153,323,735,267,153,158,103,828,924,277,352,110,944,874,
769,901,771,423,602,892,974,145,366,548,349,696,043,462,679,781,318,171,565,
462,551,749,310,231,086,108,422,249,220,849,299,246,475,558,229,900,020,579,
264,991,032,747,962,525,953,248,995,120,411,846,737,222,006,082,045,154,455,
206,280,921,650,340,689,352,396,635,154,901,187,504,258,112,060,575,354,383,
043,358,919,380,082,712,617,557,679,330,121,581,442,796,932,427,389,232,579,
140,058,186,539,381,594,426,820,384,942,064,845,417,340,837,828,896,036,922,
026,286,746,071,319,032,827,547,040,204,353,116,513,173,515,315,058,852,278,
053,705,680,070,949,265,709,200,524,221,704,099,111,139,844,875,544,112,606,
242,089,124,778,984,120,041,579,690,813,709,448,345,422,094,864,730,353,623,
251,400,806,683,463,858,391,032,858,638,310,105,039,581,388,864,452,067,215,
828,998,469,107,748,432,483,516,856,497,059,166,823,788,030,082,243,407,657,
468,160,618,135,825,074,090,045,809,319,640,233,521,457,363,868,529,221,822,
250,841,600,406,906,391,853,344,269,783,534,068,299,291,559,454,656,844,945,
057,390,239,423,797,529,839,674,892,117,778,653,744,288,126,182,424,904,716,
275,663,091,587,138,493,385,116,672,451,700,481,714,687,739,942,346,806,290,
458,335,442,356,159,987,189,955,188,723,687,983,543,479,666,367,035,893,459,
408,014,704,921,414,283,741,830,677,780,432,283,586,202,615,883,813,994,826,
341,202,988,680,378,464,765,272,147,091,930,607,615,451,416,879,260,173,484,
964,590,204,202,660,728,943,602,696,027,596,520,770,655,839,827,740,964,170,
548,462,208,727,279,609,650,984,247,462,111,311,423,172,812,257,851,058,103,
426,809,018,685,723,098,457,668,313,208,567,008,937,788,410,533,549,733,900,
393,711,808,836,566,283,591,471,597,674,834,212,027,293,664,449,477,421,960,
542,058,810,607,655,479,367,270,080,818,297,154,323,943,717,482,909,471,084,
865,710,212,962,530,638,848,339,469,863,304,481,035,917,335,589,641,249,246,
558,788,684,593,254,172,819,590,905,056,145,430,076,907,196,020,632,395,619,
701,400,825,583,819,586,561,992,135,591,670,826,232,911,956,887,325,869,185,
668,787,668,048,312,548,660,296,110,307,240,563,382,881,580,257,702,039,238,
482,648,714,786,284,646,759,680,985,971,839,039,994,232,269,128,003,920,704,
847,179,576,025,753,279,043,989,864,825,702,549,685,801,641,777,288,202,222,
813,510,967,439,481,666,088,688,930,024,370,493,286,088,396,372,170,122,324,
397,166,071,737,078,000,632,210,177,639,031,454,282,753,316,628,232,843,752,
972,800,194,823,027,089,351,919,667,032,679,194,591,844,321,695,034,012,800,
982,133,556,497,413,791,795,660,838,482,196,425,220,177,192,784,492,071,218,
379,890,880,077,130,657,807,864,994,639,903,495,420,563,148,063,767,933,774,
918,564,464,617,482,588,965,953,836,110,365,380,582,451,239,633,231,261,596,
562,584,376,039,227,676,602,949,627,203,663,449,443,524,131,373,175,023,892,
156,731,213,363,986,700,925,134,219,147,789,081,323,428,738,636,759,809,164,
801,324,768,433,160,862,426,038,164,597,061,092,891,435,719,152,523,533,119,
928,553,090,705,255,720,585,340,047,210,235,699,132,305,939,731,841,679,324,
000,599,949,747,401,240,649,616,090,254,486,417,158,140,357,108,989,388,212,
891,064,024,457,453,349,713,556,436,844,124,547,500,642,967,666,733,577,006,
507,699,772,476,309,752,571,012,351,037,194,666,036,751,124,015,640,648,058,
134,936,995,425,510,274,609,873,813,104,170,562,384,582,594,358,568,724,248,
546,990,230,404,617,704,853,207,253,487,034,404,365,109,339,833,567,173,264,
546,288,958,540,344,919,527,019,852,226,746,842,794,614,091,601,673,515,757,
224,685,254,950,803,162,251,131,944,385,898,511,618,840,693,082,955,412,554,
057,185,557,006,622,948,665,041,396,440,098,111,200,648,770,474,566,339,185,
059,206,227,346,217,063,377,106,110,767,367,929,967,947,193,623,521,829,333,
352,874,220,583,573,801,261,908,866,523,239,034,317,967,468,708,230,298,405,
378,466,064,949,535,137,738,561,006,841,899,475,222,613,858,532,237,643,455,
881,963,121,742,074,798,129,247,173,715,361,502,446,043,043,109,763,924,284,
607,057,253,474,141,643,433,043,497,358,078,760,246,374,235,189,005,477,930,
497,326,034,032,808,441,666,407,384,940,632,890,298,718,530,136,754,030,359,
690,823,951,403,316,543,302,327,983,174,326,935,183,576,359,255,288,721,903,
192,174,385,789,656,954,555,858,427,678,801,449,436,783,009,344,282,745,684,
423,796,491,143,226,996,690,357,509,360,929,313,393,167,104,272,558,160,440,
235,620,988,404,856,071,067,217,011,190,811,159,541,320,295,323,503,649,657,
726,605,757,033,967,434,091,503,726,240,855,968,231,531,636,603,072,171,724,
590,550,770,614,744,080,617,216,039,984,986,271,412,799,710,004,799,522,868,
027,499,990,585,700,589,461,721,424,037,398,948,618,885,943,812,910,296,242,
669,645,323,117,934,621,485,304,137,681,319,557,421,623,098,123,962,501,626,
096,618,535,813,524,535,397,559,348,470,803,935,883,505,106,952,502,780,365,
209,624,424,311,764,508,302,877,004,488,224,814,443,433,615,966,503,750,226,
682,514,273,196,369,599,506,592,322,968,436,515,277,616,703,820,375,351,267,
512,307,010,432,199,133,727,936,047,983,858,598,181,125,365,784,665,482,390,
038,303,092,901,684,672,370,158,587,684,697,316,426,725,114,498,432,698,017,
782,398,041,740,644,703,025,181,017,663,845,822,293,872,338,632,964,863,571,
837,796,291,919,488,313,065,554,662,279,719,058,813,382,025,056,109,317,953,
287,084,927,672,085,183,068,140,367,389,245,021,814,589,240,720,201,183,335,
663,914,218,835,557,575,523,791,221,430,543,597,038,295,089,337,105,386,218,
353,467,348,653,657,683,632,675,033,490,753,350,894,672,646,272,621,959,428,
161,085,643,809,735,845,453,977,422,995,007,946,217,974,696,655,255,512,585,
038,750,408,175,340,681,168,158,985,703,762,876,251,111,175,850,383,900,067,
838,124,049,097,629,064,373,751,501,111,790,862,677,800,148,000,562,946,553,
554,219,472,229,888,387,952,371,235,694,145,940,095,907,754,281,405,386,501,
898,098,187,790,167,890,959,877,678,211,863,638,711,591,433,423,862,121,772,
939,395,870,158,856,280,342,070,445,883,592,363,206,813,214,804,362,086,804,
677,216,151,042,041,283,418,121,700,313,518,353,955,217,711,305,959,210,328,
611,582,707,148,386,104,289,411,824,650,706,489,357,035,236,911,365,560,082,
159,494,221,257,775,936,669,701,630,934,435,560,074,962,983,717,742,044,839,
085,400,910,284,767,494,026,896,222,366,469,263,031,323,885,785,678,482,095,
481,512,740,966,194,651,546,358,042,739,790,308,471,714,609,191,291,659,350,
193,462,743,953,516,499,436,719,824,134,139,264,677,583,387,758,086,286,069,
918,575,051,954,688,633,865,837,256,819,453,977,418,761,252,938,042,628,139,
715,302,089,482,359,531,126,995,347,423,196,705,772,166,382,733,801,066,642,
231,337,517,138,788,956,074,776,089,464,133,515,668,386,658,971,503,602,232,
813,419,391,834,459,518,910,786,015,972,973,278,967,992,631,057,268,057,785,
622,013,312,313,495,489,651,144,307,909,978,781,651,612,401,477,814,213,179,
338,236,149,214,035,047,397,141,429,712,547,154,633,021,340,808,264,700,778,
515,348,088,556,878,327,423,372,381,041,166,505,446,761,670,605,778,559,880,
090,800,196,901,802,526,571,887,893,240,861,213,397,338,577,396,165,329,426,
533,984,283,396,965,002,073,568,736,844,502,062,455,884,265,800,078,774,294,
249,314,957,437,123,607,113,606,052,242,051,781,148,616,834,488,503,072,861,
486,328,568,580,861,168,820,581,231,974,313,665,072,276,466,348,544,116,354,
789,292,009,740,052,304,533,450,072,477,914,285,691,459,727,628,497,191,362,
570,837,778,709,241,273,090,759,283,477,219,552,117,170,664,013,615,047,900,
343,286,898,028,259,367,075,014,381,065,720,351,718,842,688,464,276,254,308,
323,740,851,716,152,422,953,118,031,828,404,793,051,330,464,660,023,489,555,
324,300,121,126,193,169,109,327,635,720,621,047,542,363,947,817,440,631,439,
546,207,616,464,744,852,054,173,339,985,944,096,428,447,270,978,162,347,827,
144,098,691,338,908,622,205,199,530,844,177,376,443,860,997,786,222,866,315,
167,824,601,232,375,812,029,070,381,848,701,381,149,068,583,233,368,663,251,
484,249,978,844,456,193,856,046,781,965,066,792,781,399,545,661,957,274,381,
175,032,197,458,953,820,351,078,292,620,882,935,613,889,897,288,639,861,884,
248,018,849,264,233,570,882,480,496,192,295,238,921,404,116,472,396,873,790,
949,030,423,297,322,854,599,525,430,425,235,818,062,648,781,801,585,887,685,
266,613,581,333,662,824,996,439,398,055,644,017,515,073,997,950,933,970,827,
607,666,388,390,352,666,262,263,703,613,075,111,751,182,711,457,079,143,859,
962,486,515,335,426,277,482,918,220,291,089,427,868,950,660,688,959,910,656,
374,547,559,505,663,383,343,241,589,420,264,392,368,687,767,189,307,446,086,
276,829,950,938,255,663,242,500,903,600,123,013,608,368,847,526,191,289,141,
036,881,540,012,020,509,374,334,356,746,907,485,567,105,380,543,369,651,790,
423,445,063,126,565,730,063,786,833,990,839,949,804,964,876,081,602,856,186,
819,913,882,535,487,650,645,015,615,654,183,411,596,746,059,664,292,994,896,
193,160,337,531,686,621,050,751,872,740,670,587,093,324,345,245,344,814,233,
491,713,257,947,640,616,742,231,832,069,105,541,567,708,098,488,313,411,196,
105,246,441,904,964,718,400,594,743,582,793,715,195,356,101,969,001,636,159,
071,376,079,301,068,773,271,243,569,480,854,814,163,563,730,028,185,845,710,
125,159,051,324,645,922,235,861,016,770,998,875,807,113,798,760,000,098,527,
762,895,097,754,284,696,062,140,852,163,542,362,642,395,703,651,137,863,241,
615,395,686,090,765,280,273,136,444,024,618,771,704,468,790,918,397,423,880,
628,280,122,598,641,236,127,225,525,158,439,510,642,717,909,685,402,289,109,
919,215,594,024,868,123,264,766,991,793,252,868,042,792,496,796,850,255,378,
922,104,289,890,179,075,613,102,135,951,102,393,338,873,928,544,724,174,732,
900,587,443,037,585,642,677,585,110,010,345,475,134,883,055,342,642,901,590,
688,979,138,628,092,216,014,944,610,796,055,351,221,641,357,100,296,647,467,
974,948,325,695,582,133,775,818,933,348,679,889,486,592,436,586,474,447,503,
633,254,564,665,602,949,826,076,809,055,477,131,649,373,216,206,121,211,646,
828,356,563,314,699,636,655,011,592,144,746,748,105,372,312,955,456,620,933,
448,827,179,803,211,144,468,774,110,170,063,525,506,037,779,745,620,854,385,
551,529,943,286,989,112,809,913,339,771,734,837,867,521,680,079,436,567,366,
435,177,759,678,936,138,080,035,084,778,577,345,592,917,174,131,686,446,192,
170,976,896,819,036,867,206,992,409,994,275,041,457,364,309,203,514,559,322,
820,590,441,691,642,606,610,382,315,301,507,878,583,210,467,877,256,940,610,
921,246,376,419,963,410,977,654,071,171,558,297,743,864,901,018,972,646,446,
861,911,901,748,462,995,545,896,996,663,873,756,000,164,339,826,365,075,934,
658,536,554,318,293,319,060,309,598,446,266,026,226,533,143,574,441,423,494,
308,217,468,628,866,437,055,024,277,070,222,779,077,511,458,648,474,834,656,
485,540,438,545,031,275,418,561,771,380,202,489,802,057,661,759,919,722,987,
512,694,362,314,360,824,027,098,560,257,655,116,386,025,401,683,839,016,492,
591,526,406,264,117,210,349,521,949,547,143,328,816,011,827,971,927,728,624,
627,369,501,320,483,912,557,100,862,693,221,390,610,591,710,331,202,420,476,
888,254,835,972,427,450,314,513,900,481,605,894,731,504,024,496,488,431,661,
858,987,314,536,177,402,967,369,726,691,018,718,387,524,965,006,937,305,857,
918,282,149,049,177,791,946,806,455,432,561,069,754,716,444,298,089,053,493,
247,187,014,508,069,778,483,168,019,997,103,457,011,666,410,931,006,982,857,
790,908,956,235,554,361,389,326,405,767,159,878,462,751,091,507,489,151,730,
936,400,465,886,130,438,554,494,359,222,831,437,506,888,393,141,119,040,048,
509,664,242,577,207,017,223,328,024,537,927,511,183,415,549,501,561,429,558,
047,413,644,217,589,887,972,078,862,317,804,265,336,247,439,707,480,258,426,
321,682,287,685,217,813,491,108,256,951,553,103,885,667,242,557,347,114,903,
777,650,974,422,468,408,634,217,698,414,018,219,100,676,088,659,995,611,398,
461,149,420,078,971,972,129,763,221,600,031,946,818,499,090,782,375,720,706,
342,285,858,735,135,910,500,443,692,262,052,880,798,146,495,587,939,946,191,
114,753,332,204,150,391,569,801,501,717,570,486,629,647,345,760,331,677,626,
496,963,053,745,815,330,216,854,836,423,218,700,943,333,932,663,760,337,001,
062,843,334,498,882,335,037,946,103,206,015,812,335,727,188,974,896,753,448,
342,690,387,480,084,686,320,252,603,078,429,383,528,596,634,722,565,304,716,
748,406,241,836,888,023,395,644,344,003,314,291,065,428,547,710,566,865,728,
038,074,719,768,067,396,967,187,336,735,691,437,706,946,402,606,910,652,504,
142,705,408,300,386,714,787,553,625,251,220,935,093,761,816,525,192,732,857,
407,598,492,588,383,678,055,537,120,550,195,802,039,890,602,257,143,874,080,
673,865,910,007,235,680,354,975,581,948,702,034,027,488,152,870,888,859,036,
505,586,235,006,918,830,823,562,879,411,929,185,568,114,039,442,618,439,523,
758,269,805,360,932,502,521,223,779,325,516,017,516,631,156,033,340,366,998,
376,027,534,224,987,387,707,587,412,244,314,186,000,944,820,847,860,623,902,
764,177,241,376,025,121,300,161,356,368,960,153,196,213,623,500,513,114,330,
150,767,644,663,394,335,749,526,918,129,857,684,513,611,375,682,454,114,059,
350,229,766,236,647,138,025,645,675,448,802,408,972,153,105,454,982,732,914,
840,785,243,672,173,600,668,951,446,209,381,892,329,453,234,990,913,692,366,
669,312,097,686,704,334,404,850,030,570,250,785,810,022,484,785,636,165,604,
171,353,661,321,503,424,560,103,306,823,542,968,336,836,181,259,400,715,574,
859,864,787,751,079,590,494,831,176,814,863,598,215,600,784,789,547,539,269,
260,480,389,799,329,455,529,666,680,465,201,404,930,275,336,886,186,546,365,
112,552,020,930,473,220,232,994,989,408,158,790,661,477,735,529,256,413,775,
973,184,831,527,963,486,241,687,456,164,516,318,127,980,315,165,310,142,189,
214,766,352,250,336,651,350,649,060,421,379,337,861,519,075,402,726,104,668,
946,899,987,379,314,241,054,705,925,880,670,135,737,207,566,834,025,898,769,
336,320,447,312,881,781,881,442,168,647,571,715,790,480,503,298,253,684,528,
403,293,925,683,830,760,355,735,058,748,899,152,409,604,132,369,510,787,010,
096,762,096,726,175,149,409,770,885,728,233,620,595,580,619,697,554,940,456,
051,406,855,025,325,838,270,248,822,849,214,283,817,211,355,581,045,838,321,
481,511,787,548,639,117,851,889,775,216,870,227,420,607,143,040,685,420,118,
122,589,766,513,323,406,510,854,573,006,120,174,421,513,906,536,808,273,398,
474,329,302,898,644,112,821,722,133,823,722,806,931,967,191,282,992,449,476,
953,651,286,916,817,955,578,153,900,358,972,916,867,696,127,472,295,022,425,
657,389,832,561,371,810,816,137,420,951,574,322,073,382,083,103,811,752,819,
032,115,782,045,401,237,270,099,479,696,280,165,470,185,648,798,404,971,546,
366,435,156,810,508,176,517,225,693,043,431,703,297,404,087,156,336,154,821,
136,676,405,645,108,144,437,009,556,173,006,453,815,777,303,048,165,834,502,
115,888,274,551,229,187,176,809,946,453,955,366,414,064,285,489,238,700,778,
404,076,962,385,008,292,608,761,315,981,457,885,551,184,768,581,986,961,076,
717,351,112,303,985,501,968,432,414,216,699,196,142,629,831,223,119,857,570,
420,220,259,263,499,446,347,088,723,399,079,192,736,189,175,325,829,395,480,
853,655,304,149,736,855,196,893,327,831,066,421,822,604,245,880,667,369,214,
420,657,850,752,386,028,810,164,483,168,120,263,855,453,218,875,044,522,008,
228,185,050,770,396,736,879,588,321,226,779,835,987,223,925,158,291,833,610,
199,615,359,765,777,735,801,201,723,423,017,731,272,132,000,307,487,029,916,
542,468,684,695,406,206,065,171,829,974,080,111,342,912,047,459,492,381,703,
240,363,598,122,852,740,789,181,857,276,326,539,813,037,624,170,788,789,917,
606,051,542,218,277,572,653,167,465,030,712,513,738,504,818,866,677,940,189,
496,570,189,835,091,051,020,355,396,047,980,473,662,076,961,716,943,097,538,
350,546,911,714,703,423,752,506,737,290,645,762,777,398,404,890,144,645,567,
587,059,499,265,099,446,798,213,272,565,151,171,857,114,714,545,583,834,177,
420,538,159,377,770,934,241,248,416,754,750,696,272,407,153,797,049,642,832,
708,975,808,046,503,392,037,951,896,117,857,870,031,349,510,704,503,389,255,
110,409,320,936,641,987,583,696,033,631,923,388,390,113,626,154,475,866,107,
676,213,326,316,665,497,732,805,855,890,192,934,536,556,043,659,841,086,558,
986,004,518,511,332,224,991,113,044,552,335,373,211,792,074,947,835,268,571,
458,404,548,685,402,826,543,244,287,022,624,794,735,575,596,985,902,416,843,
857,451,277,461,335,165,895,646,832,165,388,097,645,215,108,915,554,615,891,
541,529,417,686,332,411,564,147,386,446,839,681,451,432,204,674,197,245,646,
056,410,988,295,358,767,487,810,586,483,496,539,008,422,171,063,942,806,676,
728,292,743,168,850,648,079,007,168,781,550,823,280,074,752,942,990,795,923,
722,083,072,074,064,451,359,879,079,690,105,617,429,509,852,514,706,041,587,
731,967,011,496,918,019,266,902,972,248,941,853,034,617,038,894,239,050,834,
062,582,005,624,213,653,058,518,754,926,250,388,151,723,705,567,451,815,273,
972,672,316,581,246,559,236,078,435,864,133,844,084,165,468,375,455,361,384,
016,471,622,178,306,949,891,911,278,897,216,669,240,734,316,445,900,717,855,
229,384,701,627,397,436,337,245,747,952,269,975,472,445,832,928,587,903,647,
952,220,250,086,440,947,720,784,584,223,940,853,132,598,117,238,726,267,538,
532,760,624,260,022,670,190,066,742,872,249,706,661,625,362,946,975,993,607,
585,297,698,124,554,502,176,386,101,961,585,361,665,755,824,226,678,624,494,
055,922,363,050,209,046,222,699,434,420,462,805,639,061,237,487,569,239,778,
349,874,562,952,069,529,178,404,527,986,272,691,408,953,427,646,094,584,846,
231,873,328,274,701,670,359,174,203,953,300,214,765,848,113,440,923,605,574,
238,864,531,421,842,873,169,211,606,147,174,944,241,751,313,809,186,505,089,
296,903,025,532,802,479,847,604,698,754,947,410,930,747,309,204,845,286,740,
539,658,755,430,704,495,183,343,947,975,915,201,361,250,595,786,129,268,566,
096,489,772,740,600,870,389,789,336,733,125,318,390,099,879,151,926,258,491,
096,064,116,684,762,353,225,416,219,092,456,021,806,581,675,163,967,687,906,
499,844,882,600,076,394,927,816,146,829,391,055,119,797,420,533,982,388,256,
706,996,058,396,880,321,774,349,416,082,372,176,216,935,152,843,611,554,560,
565,594,799,476,213,588,535,475,917,115,516,437,742,866,542,145,642,013,406,
582,911,415,851,183,273,772,746,120,863,303,482,805,625,781,943,234,369,791,
554,368,642,199,467,282,946,690,388,871,740,536,748,004,711,621,208,006,807,
211,390,774,183,492,153,474,832,968,955,776,739,044,229,431,742,364,500,226,
985,785,735,787,976,089,089,055,667,793,505,285,168,041,055,441,141,072,168,
919,209,684,865,768,781,222,117,867,504,951,136,579,853,143,303,216,648,934,
988,663,248,718,788,072,756,978,998,586,483,051,456,218,157,252,043,275,602,
470,847,240,378,892,516,327,856,860,871,687,819,013,044,464,311,356,906,456,
509,844,323,443,907,625,876,614,297,209,132,126,549,629,572,267,360,339,350,
294,371,297,669,945,418,879,342,997,114,786,024,246,362,616,715,023,501,234,
806,606,293,367,340,452,054,648,988,980,394,162,809,309,720,494,888,962,552,
568,420,555,208,117,669,096,430,496,802,695,041,477,460,592,951,296,400,595,
924,569,742,306,076,231,142,100,938,193,945,233,283,424,253,762,966,374,037,
435,605,817,288,391,432,265,511,827,734,017,993,349,362,577,533,520,910,552,
687,961,693,266,421,777,111,733,485,317,730,825,213,173,087,151,137,989,878,
529,307,961,565,980,629,193,063,589,531,184,845,224,939,251,319,132,996,001,
309,111,346,137,587,260,538,364,092,065,066,685,769,486,365,133,814,166,310,
300,745,650,468,891,535,462,782,550,771,016,256,598,153,500,424,343,287,537,
887,415,170,322,049,661,448,264,864,305,793,639,285,771,839,777,926,472,809,
268,719,804,996,663,218,987,546,167,034,529,117,526,101,611,552,639,504,428,
759,773,822,729,462,509,519,366,572,070,694,798,057,495,409,952,661,851,250,
047,573,616,925,561,179,312,948,622,238,992,211,349,290,336,520,172,169,003,
671,110,047,907,113,299,470,706,167,268,478,179,346,582,722,654,835,367,961,
573,628,472,074,848,225,364,554,692,896,794,199,018,002,075,034,236,355,075,
507,160,635,484,931,996,117,681,525,806,035,419,381,679,742,880,222,873,300,
908,498,969,922,637,761,505,147,425,328,072,445,331,234,457,605,870,509,653,
643,032,655,002,469,354,494,998,636,278,859,190,343,067,091,803,323,274,741,
121,181,021,709,282,713,834,593,092,755,211,912,830,070,657,496,094,325,029,
555,356,063,768,441,679,044,495,405,924,754,587,170,750,555,964,168,624,863,
140,101,649,618,360,477,632,906,178,537,914,100,322,708,799,594,688,189,360,
714,812,980,748,141,361,046,956,928,943,450,091,447,185,642,279,820,543,439,
562,936,433,650,340,823,078,064,952,793,825,224,395,420,662,752,388,547,973,
634,764,690,886,430,833,576,123,194,392,187,590,921,201,188,504,423,515,029,
858,454,298,585,975,567,375,146,806,701,928,113,101,309,383,275,573,051,581,
131,424,459,565,154,264,923,608,878,602,538,163,558,642,608,567,095,433,259,
592,883,685,056,276,242,800,757,169,876,023,957,548,339,859,482,138,588,020,
549,693,550,769,640,915,581,435,839,134,699,788,018,985,159,626,778,812,405,
055,283,618,085,353,154,501,360,255,047,600,913,937,640,354,226,886,495,666,
729,465,240,445,118,123,240,790,368,430,144,257,059,725,475,063,693,643,988,
951,361,910,008,164,873,346,029,739,698,637,585,193,671,840,995,551,277,241,
276,211,546,100,553,192,285,724,146,477,347,415,407,842,119,009,406,464,478,
471,203,292,910,661,739,673,723,753,016,050,431,668,314,941,594,347,739,709,
320,663,929,353,982,367,711,659,846,289,999,152,751,679,144,383,431,410,037,
312,335,930,483,006,949,006,859,669,367,191,401,444,663,142,058,455,928,387,
896,419,539,375,653,762,519,797,523,728,626,089,534,649,458,876,249,285,659,
128,769,517,946,787,756,556,015,926,398,065,419,577,237,628,476,071,673,547,
256,005,287,397,965,886,445,523,198,199,169,575,873,558,438,659,048,193,539,
453,492,736,386,566,991,120,349,604,115,705,867,101,389,871,474,632,470,093,
063,458,592,061,551,171,647,008,515,946,029,863,335,384,945,842,940,893,503,
465,374,848,350,534,842,166,650,312,866,637,565,872,988,774,507,313,048,392,
658,887,110,318,296,542,084,547,499,637,662,330,898,464,371,398,618,763,768,
413,974,145,366,898,366,358,902,225,264,116,963,338,286,173,613,557,509,394,
213,581,959,827,986,327,456,256,415,011,737,567,373,503,827,056,099,802,473,
619,673,942,197,465,437,922,140,800,292,451,115,311,466,474,023,943,271,299,
977,678,392,958,705,903,151,560,043,139,112,472,400,325,368,218,416,946,993,
506,315,556,923,461,489,223,931,254,100,837,022,203,965,590,690,702,797,554,
687,563,345,672,503,977,993,220,772,020,329,426,708,892,690,010,835,160,858,
076,200,707,540,757,842,038,337,347,913,850,997,025,301,318,722,129,009,619,
058,656,694,706,010,753,667,536,135,955,028,937,814,804,137,821,318,508,214,
193,195,793,043,939,228,423,110,734,932,122,643,897,991,473,732,972,603,890,
515,383,707,069,259,860,232,590,677,830,070,844,234,866,792,370,010,762,896,
720,478,692,974,423,370,415,243,991,501,862,028,179,455,497,333,998,764,797,
080,696,419,322,842,854,324,455,355,089,758,060,119,749,905,362,227,854,572,
430,766,129,947,727,921,793,632,992,070,915,321,177,307,616,308,639,312,368,
361,137,251,407,985,326,896,295,662,119,589,876,480,403,900,838,821,471,887,
122,840,232,942,014,778,367,404,833,452,251,899,760,286,819,441,152,085,286,
927,224,351,723,514,780,979,384,878,893,879,596,116,489,956,872,459,204,691,
112,963,947,754,784,831,346,877,045,468,828,945,000,717,932,700,057,073,144,
336,364,701,365,266,612,142,163,636,131,485,857,156,323,237,188,939,439,541,
639,337,022,444,393,848,426,248,514,622,257,905,738,314,429,220,411,765,917,
158,394,814,158,240,270,070,852,773,495,606,369,553,298,057,277,243,691,257,
996,346,920,243,242,586,262,152,397,019,712,019,641,579,284,518,152,990,730,
109,949,700,802,888,683,836,792,792,569,927,220,320,156,073,999,381,093,747,
867,547,167,793,340,484,093,976,125,553,526,133,478,833,893,018,976,063,415,
884,592,444,151,129,726,141,310,322,363,532,923,328,066,159,449,174,824,328,
593,266,751,018,424,865,558,602,699,992,426,320,096,870,633,292,270,635,551,
978,467,047,942,412,588,851,696,999,305,334,914,121,469,815,220,985,517,106,
738,006,070,497,220,560,204,915,527,772,869,425,695,796,392,084,469,035,485,
718,480,233,373,080,415,059,751,260,034,003,830,553,984,794,531,722,343,881,
034,632,401,561,671,992,648,392,777,786,189,193,201,040,433,806,462,018,031,
741,948,154,674,887,293,166,874,138,630,267,390,005,312,575,769,646,782,416,
852,829,725,623,719,740,567,191,495,039,796,878,122,217,851,465,874,583,170,
463,607,961,573,896,579,733,296,302,722,168,486,302,890,807,264,805,332,855,
943,294,518,470,067,720,238,340,356,790,186,048,890,416,174,677,568,466,099,
013,501,976,983,017,021,768,276,643,691,718,000,075,190,247,668,323,778,804,
459,598,407,687,265,394,334,408,283,769,887,693,411,970,618,406,272,775,754,
195,754,178,120,992,562,161,303,199,545,199,048,262,332,133,733,765,592,032,
265,423,812,566,177,861,256,664,216,868,773,421,160,620,026,000,592,088,918,
075,848,544,194,461,539,470,796,160,045,165,508,552,062,457,675,373,042,155,
143,810,621,139,223,428,772,475,256,279,688,640,478,064,184,777,346,810,026,
116,050,071,670,376,269,072,720,267,064,584,723,718,122,077,615,815,999,223,
273,305,980,649,326,814,099,068,120,514,699,750,961,387,369,656,188,598,442,
766,861,371,146,077,058,278,272,924,808,509,300,793,940,449,561,304,295,647,
017,873,823,031,309,764,076,244,777,328,995,617,631,604,975,008,512,716,310,
524,034,661,114,499,599,827,290,636,544,304,639,390,678,025,261,742,670,808,
831,087,075,841,354,595,369,993,640,223,938,848,629,235,959,813,957,464,052,
046,159,264,741,408,264,100,880,030,605,743,848,918,243,954,354,506,718,356,
128,278,281,092,882,613,500,954,678,311,042,387,330,352,627,909,852,121,110,
891,513,881,108,342,855,591,412,346,303,307,005,559,223,505,424,612,276,852,
086,695,284,714,860,156,284,298,308,901,256,428,906,647,590,797,063,258,415,
481,992,667,652,396,906,534,857,311,466,127,199,975,784,252,746,835,441,172,
643,581,935,939,409,640,082,424,612,293,643,317,972,752,209,635,635,346,943,
204,183,707,120,468,951,185,437,935,978,055,519,401,899,943,935,118,098,592,
134,144,835,328,012,695,599,753,457,500,671,913,991,200,292,121,827,858,615,
988,284,287,450,961,859,317,671,427,429,863,310,934,440,187,272,559,082,890,
933,414,908,802,575,610,612,931,731,898,055,806,602,959,352,051,263,986,585,
194,928,536,270,879,270,174,344,865,543,052,463,219,803,659,733,571,727,442,
479,782,870,429,737,983,400,837,948,932,399,201,889,299,635,501,128,813,831,
399,380,696,844,045,138,313,692,897,236,764,576,326,573,304,756,170,774,473,
238,050,633,871,484,285,663,464,748,719,141,997,248,571,673,805,387,689,576,
345,651,431,511,820,452,636,858,177,715,998,154,191,679,115,145,774,362,328,
250,245,575,412,828,331,085,240,533,255,500,916,005,011,675,185,831,289,110,
020,766,471,513,152,734,281,365,696,885,069,293,785,421,738,037,236,245,405,
933,674,545,844,122,697,881,989,258,936,962,559,402,242,026,940,205,260,919,
806,734,844,529,776,078,615,789,030,069,679,163,752,589,455,174,302,530,580,
197,622,298,527,993,902,684,058,806,678,453,868,631,770,635,307,195,176,294,
887,961,330,770,317,302,534,608,217,782,599,575,789,839,088,127,929,944,980,
507,331,528,957,189,290,528,725,043,105,737,950,481,497,616,226,133,056,102,
314,865,679,885,283,860,260,088,603,573,975,973,756,915,263,176,822,697,224,
267,546,562,680,142,553,116,099,470,471,387,982,180,548,093,260,927,408,408,
901,125,047,995,419,628,521,182,510,240,638,012,193,952,373,296,887,408,734,
668,556,424,406,031,607,469,957,291,877,893,843,989,889,037,928,331,001,174,
130,138,983,808,816,892,846,445,825,543,687,684,581,033,507,756,410,918,977,
983,991,035,056,787,110,773,471,271,845,864,955,934,649,778,122,401,989,196,
261,643,866,205,510,398,467,875,889,156,163,569,912,261,628,842,313,361,023,
241,727,796,350,205,290,110,756,681,919,339,946,748,046,810,081,810,594,904,
642,916,960,128,471,075,926,171,577,587,856,131,649,461,306,187,278,652,569,
747,577,916,018,809,278,815,263,077,365,599,979,158,891,032,844,881,983,965,
441,221,255,453,277,394,046,452,152,011,089,857,642,658,815,086,166,747,879,
220,928,677,105,760,556,819,173,165,954,017,990,823,921,760,546,224,035,908,
417,201,359,480,340,212,244,506,213,186,291,531,918,298,462,812,601,817,894,
151,570,438,743,352,797,656,775,244,991,517,417,455,100,164,022,113,029,611,
494,216,071,871,506,873,093,222,957,404,795,831,994,730,753,799,722,284,189,
601,869,095,104,697,037,787,976,408,316,815,989,289,187,957,798,423,630,083,
317,423,129,214,258,645,620,358,961,390,323,636,444,156,561,483,676,425,692,
921,471,502,899,854,117,058,677,548,467,003,649,538,687,869,827,306,542,057,
513,964,746,565,420,776,238,327,644,965,157,920,553,023,059,151,685,391,153,
019,296,657,917,784,015,036,248,544,468,311,423,210,111,251,373,458,979,152,
105,302,045,700,715,047,886,025,799,170,668,868,838,813,438,298,156,267,866,
249,921,801,867,424,798,420,372,257,235,031,917,313,393,256,298,268,766,863,
589,641,626,442,529,916,403,007,540,772,465,970,627,540,940,703,804,997,425,
530,080,386,628,352,016,395,603,081,420,217,936,638,271,004,609,205,300,122,
693,178,203,824,027,300,149,825,508,569,932,596,696,738,106,867,663,359,201,
730,405,594,901,258,900,237,725,782,740,076,299,664,290,201,692,726,037,973,
269,042,559,093,831,866,144,645,183,866,853,842,631,518,445,719,186,259,062,
145,557,272,715,096,230,798,066,258,463,511,466,151,554,106,313,720,159,469,
057,017,933,036,823,391,481,675,326,819,467,658,946,686,773,674,068,997,322,
562,888,130,804,929,527,726,019,664,194,758,814,488,855,973,707,450,573,827,
141,290,985,634,835,940,552,867,836,572,425,828,061,956,947,173,982,795,161,
025,068,671,500,690,423,211,818,313,137,710,593,552,173,999,246,516,637,499,
799,861,567,878,296,048,609,923,548,720,522,585,284,677,949,593,376,917,421,
103,438,957,676,328,743,855,968,972,776,155,892,375,370,257,409,949,979,238,
483,662,284,125,057,706,544,943,405,020,603,214,435,363,842,201,241,866,560,
884,263,678,702,124,730,136,045,521,437,779,131,642,088,418,167,951,462,597,
719,634,005,188,796,627,516,127,254,902,363,261,148,487,850,615,487,125,479,
368,526,457,669,968,651,563,932,316,355,844,427,769,307,622,099,085,221,957,
684,547,408,862,801,005,291,447,517,517,301,951,824,949,131,310,528,489,986,
186,862,846,768,723,348,302,786,700,964,354,871,438,794,062,740,239,662,521,
032,734,166,882,679,639,338,908,571,346,038,436,530,186,986,064,217,266,390,
216,989,665,299,810,693,185,598,938,986,519,860,188,546,080,059,862,552,901,
406,669,113,994,261,923,420,343,215,308,048,466,996,673,691,581,488,510,684,
899,882,704,781,259,485,113,852,342,749,283,513,165,251,568,918,628,522,773,
946,917,470,164,700,343,829,956,091,663,204,672,571,154,707,075,040,363,395,
002,758,056,735,736,380,934,702,222,236,862,076,206,888,625,540,321,268,806,
465,853,038,799,333,558,390,010,792,350,248,005,580,019,957,903,122,011,577,
657,035,710,482,829,028,960,733,896,847,614,774,894,629,113,274,779,567,276,
082,982,077,506,051,913,395,085,941,094,831,033,932,049,864,040,283,106,958,
531,683,506,275,614,325,187,372,255,221,341,869,286,414,013,443,467,323,538,
664,829,532,352,533,849,718,365,770,009,075,044,582,228,284,460,795,674,588,
538,847,108,459,297,814,588,861,283,994,610,687,700,762,385,953,966,220,526,
220,409,608,661,147,190,369,215,318,249,443,531,955,861,488,371,098,783,707,
039,879,723,240,592,821,399,781,185,889,138,752,635,369,826,664,703,853,074,
976,921,047,992,290,477,974,505,066,064,452,871,213,602,531,995,495,006,265,
398,228,001,948,543,706,630,978,074,695,952,655,095,124,074,178,788,739,646,
953,794,147,417,614,900,603,559,999,821,664,071,732,260,002,091,525,666,695,
220,620,035,921,311,584,886,085,133,285,919,634,371,011,704,996,569,027,392,
644,694,678,657,625,749,470,967,733,587,521,875,307,722,351,204,191,728,801,
226,037,222,493,360,661,543,046,343,276,699,326,443,776,984,775,022,775,852,
418,829,984,509,530,101,300,816,377,610,105,560,309,277,208,179,949,804,748,
404,084,134,323,285,303,236,524,095,102,504,483,447,179,603,414,648,717,095,
447,923,892,918,191,214,111,313,903,673,031,420,878,736,482,387,336,979,907,
083,020,626,055,190,208,813,496,178,169,013,600,363,729,225,786,571,194,017,
928,434,699,854,920,031,148,312,170,251,073,225,722,822,284,663,480,070,271,
597,227,722,234,161,109,515,835,430,758,610,455,305,585,634,346,748,098,295,
963,655,213,106,992,143,308,631,535,352,207,651,930,361,277,157,010,110,230,
665,478,263,370,077,848,095,786,853,828,500,582,725,553,115,406,198,542,523,
699,953,745,223,432,507,726,221,894,493,330,876,312,979,292,372,418,860,593,
475,663,474,867,298,372,633,259,515,830,800,410,993,015,351,139,668,746,609,
677,504,142,441,273,364,880,338,057,322,052,623,778,084,047,954,413,090,011,
183,127,491,098,115,504,950,995,899,945,759,059,162,928,447,104,619,905,106,
995,116,764,686,138,505,962,292,448,253,890,663,979,596,037,113,036,972,753,
800,910,846,760,479,932,798,012,299,004,586,859,869,243,256,763,199,182,290,
058,823,168,748,018,736,843,191,316,380,943,037,764,669,163,972,451,483,967,
725,026,490,177,815,537,289,083,400,086,042,975,498,145,646,977,313,370,242,
879,694,256,306,115,930,494,470,758,334,334,987,501,174,583,643,565,747,153,
143,837,712,067,431,553,786,890,151,652,654,025,081,705,184,133,135,243,733,
658,602,908,526,971,537,956,625,069,258,863,296,995,436,320,123,821,626,760,
513,650,985,938,861,561,860,199,061,333,365,298,500,280,842,909,264,157,171,
065,836,922,531,338,622,027,797,923,301,669,417,326,669,643,252,707,213,602,
714,499,024,507,229,355,294,370,537,301,658,113,708,567,957,750,984,790,425,
449,931,482,432,426,016,928,587,431,398,922,472,636,311,458,476,112,257,745,
739,266,418,937,874,956,151,865,936,652,080,959,828,997,465,873,896,314,412,
989,670,821,485,519,882,017,687,968,401,696,441,298,286,715,201,387,064,029,
785,901,241,159,557,449,826,882,742,029,859,760,330,708,678,660,253,775,165,
704,609,629,005,172,035,333,651,557,293,916,073,557,114,884,153,962,352,732,
519,519,149,131,966,311,167,838,231,677,571,872,626,935,916,772,192,921,933,
523,456,829,076,084,067,219,536,318,996,207,979,750,169,537,266,321,370,571,
089,420,294,770,133,979,817,567,701,424,006,648,095,510,305,129,382,887,454,
362,470,546,596,817,295,747,337,589,277,674,860,122,145,489,709,249,448,554,
666,160,937,995,451,239,056,105,532,921,380,195,553,010,378,898,074,957,457,
856,924,902,276,728,129,954,828,323,834,465,389,772,787,075,620,582,419,139,
901,970,721,837,248,908,103,965,492,409,946,851,693,834,359,891,652,715,768,
970,850,897,730,862,776,788,345,940,511,111,400,645,825,014,562,656,603,668,
107,226,591,577,487,194,111,200,793,703,650,283,472,694,696,344,174,410,440,
850,558,585,059,491,706,489,293,550,877,657,130,361,198,951,030,774,804,156,
116,370,598,913,258,967,673,905,578,624,836,474,942,661,998,886,941,140,241,
160,987,772,156,294,216,969,862,517,100,828,863,318,498,260,216,481,898,604,
620,561,137,226,563,816,682,617,647,349,656,270,146,628,560,007,257,101,288,
312,396,884,222,382,143,951,892,074,648,465,666,131,950,212,360,841,170,527,
991,552,021,742,727,767,041,654,017,048,151,748,262,315,064,478,893,513,547,
088,172,295,044,778,309,660,902,686,059,439,188,169,883,615,779,470,214,189,
313,651,640,261,317,695,773,801,332,223,166,667,217,898,300,532,202,346,078,
688,968,023,180,443,446,328,090,222,966,901,040,715,141,520,185,953,324,992,
403,163,478,794,063,214,616,717,140,137,292,603,668,787,671,032,600,002,024,
345,688,900,467,674,379,515,171,825,555,224,988,559,947,640,420,120,960,384,
069,310,032,784,227,840,773,355,980,486,295,326,488,522,590,075,504,830,747,
481,505,654,288,162,977,986,848,937,899,466,412,845,998,505,646,605,015,208,
069,622,171,651,817,406,159,461,291,388,600,916,076,394,633,182,730,855,194,
472,656,507,983,593,279,242,426,060,401,210,656,615,386,457,885,584,929,146,
286,917,273,243,658,481,340,952,913,205,010,757,888,559,127,979,944,850,699,
688,979,355,172,322,624,053,873,448,595,877,081,717,960,283,861,690,783,049,
835,549,957,025,753,746,297,009,962,205,274,259,269,069,589,803,418,556,396,
728,292,514,606,486,940,434,163,009,942,798,858,407,324,396,707,749,225,937,
393,565,599,067,634,427,645,063,774,569,532,571,807,476,423,628,665,838,707,
093,303,713,394,088,175,433,174,493,029,472,857,518,134,427,352,735,068,354,
385,851,708,005,070,758,901,347,274,996,374,238,119,499,942,861,604,886,336,
215,388,060,175,849,800,151,957,846,027,283,061,729,857,606,320,971,061,705,
784,355,254,577,152,585,103,960,736,741,247,486,682,252,035,278,273,654,910,
792,989,299,597,675,849,496,832,977,296,545,568,223,568,680,899,879,225,951,
472,783,821,434,271,261,203,704,973,397,488,314,444,328,688,715,887,420,384,
017,659,823,492,936,853,471,237,364,138,189,901,113,985,062,445,215,330,074,
066,836,521,878,495,049,607,955,687,640,597,389,498,812,984,843,254,643,738,
470,657,124,930,521,213,707,616,211,850,221,399,592,988,526,380,810,846,623,
130,850,831,821,447,173,981,359,036,725,889,242,030,871,730,915,513,463,248,
514,343,269,182,898,261,060,820,478,844,831,060,780,614,016,867,973,669,596,
504,724,521,429,707,294,837,005,584,753,598,679,198,539,596,359,385,237,426,
134,683,359,152,118,068,943,471,095,462,673,847,032,409,513,087,820,257,713,
374,340,379,581,906,092,098,296,652,660,659,837,304,326,018,450,745,911,044,
804,016,058,022,959,073,852,199,006,307,180,017,414,543,601,205,028,606,122,
843,197,768,051,869,519,978,433,172,850,395,737,911,757,883,298,808,066,072,
257,137,385,550,227,279,185,406,471,036,120,898,837,134,962,254,176,926,496,
548,019,420,777,067,039,171,847,378,192,117,585,536,592,513,486,560,565,449,
361,427,937,969,698,504,077,081,151,604,794,257,125,412,930,891,956,529,561,
610,211,204,703,047,504,359,189,212,306,823,755,543,239,484,443,636,044,203,
267,679,245,242,235,653,995,684,064,852,423,877,059,689,547,885,192,272,571,
996,563,140,512,893,580,967,021,043,225,738,559,562,471,824,486,677,954,018,
713,643,397,640,134,914,194,662,223,106,437,100,428,708,082,468,161,976,232,
777,592,875,368,510,071,384,443,528,891,295,757,528,807,889,653,195,535,032,
251,085,767,253,454,781,597,942,270,688,500,462,989,025,469,793,314,460,549,
604,568,762,681,793,072,654,597,687,391,316,218,031,080,404,546,470,226,483,
678,414,950,752,703,113,843,666,491,463,012,019,700,342,359,197,389,961,670,
240,815,777,569,347,469,932,390,033,867,403,119,468,194,336,408,901,751,577,
579,142,262,359,043,996,060,071,622,954,940,044,052,364,225,623,668,723,664,
562,932,458,385,845,772,593,093,908,908,522,595,591,833,576,591,011,108,542,
683,019,785,643,514,869,259,753,872,994,711,773,087,289,868,870,220,479,625,
495,093,931,798,875,626,386,677,180,970,068,993,198,051,881,964,088,834,852,
895,287,104,126,584,443,008,459,341,967,221,186,729,658,585,170,864,947,970,
970,780,847,930,935,322,338,221,255,596,328,392,589,743,716,847,930,519,274,
272,026,947,281,296,192,173,234,932,248,714,486,645,742,951,210,035,707,327,
717,948,674,121,258,746,848,653,735,727,237,400,168,913,960,709,457,977,708,
489,769,155,833,447,593,134,420,790,730,439,715,517,042,091,880,988,536,068,
566,282,126,434,073,199,380,393,117,423,179,042,283,271,240,438,765,859,697,
519,382,040,787,488,020,118,683,949,350,258,936,084,316,119,383,571,717,247,
563,586,537,302,150,563,025,325,619,520,409,601,844,991,272,687,883,454,228,
809,650,325,856,873,495,541,281,730,999,891,420,514,864,995,171,273,131,997,
367,534,712,018,865,364,451,789,793,854,503,427,603,232,100,322,422,767,625,
023,181,577,322,524,308,449,406,507,367,928,186,744,161,073,956,816,733,092,
305,577,279,554,704,838,051,820,187,193,114,592,147,767,737,192,265,079,829,
684,688,472,046,709,304,939,675,561,127,687,478,520,434,426,952,500,757,624,
406,617,493,355,376,889,758,188,650,825,432,246,962,308,526,321,700,258,415,
735,565,784,551,123,762,550,473,940,621,198,433,424,402,895,971,013,492,272,
629,851,141,349,723,774,719,917,749,698,790,584,132,420,621,898,123,353,961,
865,537,602,911,771,662,557,091,631,980,620,759,598,985,266,346,045,731,284,
361,254,080,101,208,829,712,397,240,982,923,897,952,947,698,036,875,381,767,
117,373,153,710,444,812,676,808,912,098,998,756,600,274,199,132,145,397,503,
418,439,530,488,288,778,357,485,494,392,534,141,165,789,957,154,769,941,933,
684,678,073,470,247,532,375,194,492,864,170,978,232,555,510,629,839,130,363,
723,467,818,612,694,021,376,672,539,211,549,333,932,888,597,377,477,767,601,
311,884,209,630,107,510,919,542,628,717,163,799,877,492,881,389,263,901,785,
781,830,869,283,915,187,295,505,687,327,291,030,368,137,576,568,512,183,767,
289,513,789,004,361,220,936,010,744,218,671,632,868,355,282,814,220,062,787,
529,979,168,663,455,809,539,419,729,125,838,737,723,255,611,182,159,917,749,
177,838,565,039,135,365,741,691,252,770,186,043,053,760,806,385,535,380,069,
988,004,301,297,246,720,267,938,658,257,331,952,319,238,881,888,618,082,976,
097,119,468,249,434,544,361,664,368,134,007,457,081,086,131,590,248,364,520,
724,875,669,199,207,549,688,843,345,417,386,583,624,321,573,647,581,208,411,
004,479,289,300,010,882,395,473,679,760,015,224,210,757,473,920,310,681,595,
463,238,132,606,610,391,729,911,184,969,157,479,760,612,980,810,391,364,068,
053,347,830,298,899,203,388,556,230,800,828,047,122,148,402,102,386,527,941,
208,347,213,757,246,555,773,044,114,008,767,703,812,604,011,010,928,626,857,
640,957,049,597,700,299,836,769,063,251,160,818,881,056,957,822,183,818,069,
495,142,966,077,741,577,961,965,088,956,009,714,906,382,275,725,966,940,638,
317,139,379,079,313,489,211,267,552,579,491,876,427,070,540,359,751,112,196,
396,096,808,771,939,677,492,600,267,156,441,550,450,324,800,379,282,618,742,
330,816,053,083,171,753,544,259,534,662,578,210,291,385,018,619,794,230,867,
454,245,652,435,336,016,308,037,298,691,341,100,183,542,885,430,301,217,479,
753,461,381,974,591,490,382,568,174,491,468,350,504,790,527,621,968,333,089,
400,603,989,541,094,646,762,780,294,657,639,850,780,429,521,550,909,691,165,
011,071,915,545,285,906,466,295,509,187,845,317,710,805,484,832,828,524,084,
312,554,661,778,898,568,866,402,325,646,295,254,974,765,781,653,606,938,510,
619,580,433,629,060,024,681,459,512,724,193,848,220,630,450,680,563,825,443,
283,673,262,924,284,655,064,818,028,839,162,746,651,535,925,103,793,200,829,
040,101,435,769,567,079,433,500,689,413,295,296,475,187,109,267,231,669,365,
974,041,684,580,877,275,892,537,731,134,651,429,469,910,599,263,980,904,417,
788,451,411,799,209,383,949,655,552,795,086,507,708,972,846,423,757,764,179,
687,052,424,983,652,391,628,368,076,962,553,653,651,429,483,807,484,733,778,
523,428,981,047,885,799,482,232,942,532,307,214,007,803,836,360,696,036,943,
609,296,551,638,062,195,796,930,248,046,975,750,216,928,218,098,687,974,273,
392,144,702,302,371,509,701,630,200,494,306,415,051,775,068,520,343,614,419,
454,156,474,399,800,548,808,728,579,127,559,479,144,752,970,111,390,450,663,
593,296,543,490,957,472,488,046,636,826,298,583,057,011,262,939,186,919,038,
009,371,974,050,237,560,238,868,106,168,589,222,882,825,544,940,814,080,949,
598,895,265,715,586,358,665,032,555,426,744,647,576,088,551,799,540,913,285,
498,158,642,753,465,273,869,736,363,972,059,771,993,558,987,954,787,278,343,
172,016,130,489,126,695,775,676,030,308,721,818,206,998,535,315,082,074,181,
392,787,824,795,029,414,800,979,375,927,466,046,107,533,479,464,833,411,158,
167,833,004,924,646,203,367,103,484,337,469,881,277,220,275,266,829,053,291,
661,428,490,858,034,777,094,019,811,664,809,531,573,853,236,418,116,764,883,
676,320,065,404,468,116,108,560,800,317,379,806,019,507,573,544,861,571,092,
476,746,718,579,784,393,218,536,792,153,208,437,750,088,535,072,908,520,924,
536,987,278,010,144,464,660,907,546,312,731,748,175,983,900,932,390,954,723,
979,797,190,676,037,016,871,214,502,102,117,449,146,256,667,183,748,129,495,
452,137,706,802,914,272,006,661,727,627,094,630,288,017,351,134,294,520,431,
178,730,956,931,858,404,361,891,659,536,460,292,751,348,290,439,719,501,982,
931,066,779,655,104,825,213,143,808,192,736,045,090,265,486,362,658,415,194,
251,744,292,037,802,544,284,126,231,193,139,387,649,361,877,709,539,410,100,
081,343,374,632,079,915,625,822,483,076,740,072,188,009,211,467,552,972,818,
027,546,152,623,826,763,995,964,934,616,703,052,137,849,258,497,165,538,130,
052,547,784,068,320,677,022,138,817,953,420,069,836,330,694,070,758,513,215,
160,396,182,228,003,803,972,718,660,158,154,829,020,124,544,803,170,168,781,
197,716,467,632,588,630,295,507,164,413,226,316,635,801,963,074,572,856,915,
889,015,214,836,468,980,411,778,952,993,016,697,699,780,978,132,584,159,497,
413,311,732,018,132,647,432,668,836,545,568,703,644,304,976,619,471,449,933,
690,490,214,685,443,499,227,416,402,806,577,543,103,204,813,776,056,162,057,
941,595,079,747,949,075,404,289,926,597,351,159,825,738,544,937,478,868,804,
709,092,115,848,404,101,119,005,398,111,971,058,259,196,616,670,912,124,263,
626,053,361,235,119,252,112,850,593,219,779,912,464,730,491,865,854,081,873,
946,911,775,118,462,275,543,476,486,991,730,348,598,463,222,030,868,432,372,
223,477,874,196,384,495,908,067,150,302,787,969,379,728,283,293,504,408,139,
269,479,443,160,229,883,977,923,461,461,233,351,253,066,530,408,214,388,613,
294,795,585,954,376,840,501,715,022,477,291,075,934,036,157,667,198,432,257,
726,997,052,323,458,209,966,151,519,731,103,015,324,517,732,812,289,914,141,
400,018,777,847,792,144,582,822,846,154,878,627,241,766,405,036,991,485,408,
269,138,199,968,767,692,183,948,988,237,205,508,457,167,709,560,142,121,637,
631,452,737,439,999,123,267,101,209,465,613,759,854,575,668,733,144,097,407,
972,875,456,995,113,655,940,128,700,381,318,507,831,329,279,845,490,936,577,
940,938,945,557,145,000,710,323,703,754,345,999,976,782,943,307,290,119,633,
030,330,508,015,070,493,663,358,457,864,202,316,054,528,012,309,017,404,528,
264,653,913,896,528,951,361,986,476,530,554,055,150,038,068,434,616,832,141,
334,247,918,251,680,756,554,496,443,116,510,627,768,498,347,798,584,272,091,
966,106,602,242,086,080,060,336,525,133,311,553,952,565,875,531,761,519,035,
885,870,097,103,035,657,274,849,544,113,100,047,366,900,058,462,669,287,480,
082,112,012,573,141,841,337,598,871,624,262,325,142,198,080,933,002,778,636,
410,523,808,855,361,692,116,565,513,149,088,722,740,738,898,700,309,295,403,
491,714,461,871,721,963,878,496,781,456,940,292,939,248,985,644,974,142,424,
240,402,851,339,895,717,000,026,362,168,218,321,341,114,918,487,002,585,113,
149,119,773,451,435,333,218,249,186,959,815,764,276,486,599,217,878,955,184,
803,840,425,908,676,318,779,753,730,499,428,863,050,300,391,384,656,957,014,
279,439,008,851,833,478,217,234,691,521,053,522,769,230,974,019,972,630,905,
346,011,521,105,598,668,909,008,457,388,010,735,363,069,305,793,935,253,795,
098,320,214,372,454,336,936,353,117,291,095,452,434,621,122,271,295,681,437,
716,663,911,165,549,233,959,163,504,397,710,380,569,618,202,645,776,150,264,
218,174,775,335,354,345,803,381,690,092,125,928,765,964,272,699,174,596,855,
605,250,164,331,081,244,927,196,787,977,603,614,291,064,703,213,483,109,091,
008,357,286,808,927,140,665,883,448,557,428,630,886,174,014,666,148,594,701,
032,619,972,566,347,473,071,679,459,902,788,815,128,958,091,395,760,274,736,
944,451,555,023,284,157,537,503,182,483,557,689,931,697,275,045,008,519,237,
929,614,520,597,363,389,846,282,985,935,651,850,291,278,344,520,298,138,758,
825,464,180,545,118,771,502,859,070,806,694,028,651,018,584,027,132,848,623,
699,903,134,665,110,765,178,964,250,668,230,951,950,969,436,604,177,302,687,
607,351,233,851,146,007,806,027,811,965,525,228,282,848,855,783,274,586,170,
357,847,184,328,626,350,980,683,753,173,274,323,652,783,072,116,751,181,320,
228,620,975,002,418,770,577,946,921,954,679,787,751,928,341,420,841,298,008,
900,275,583,077,712,237,081,939,146,085,285,621,795,238,233,406,623,170,556,
275,063,656,127,057,000,417,487,822,547,459,484,944,912,378,392,325,719,918,
440,297,509,623,728,240,996,704,428,113,935,826,821,607,985,578,330,750,983,
212,848,065,236,116,417,967,395,129,493,725,869,084,842,730,909,994,954,513,
349,774,951,820,817,034,052,838,669,998,586,027,871,669,268,470,253,379,271,
940,981,219,349,931,436,347,802,003,903,618,424,061,771,950,797,338,531,318,
329,820,736,530,753,068,449,933,338,759,012,268,022,981,400,919,605,931,639,
981,425,214,608,903,272,230,644,525,939,723,836,976,354,125,474,089,092,235,
430,726,784,641,309,234,272,653,534,605,460,412,239,934,539,959,992,883,585,
117,351,116,124,460,641,461,306,359,908,993,412,492,132,477,289,474,501,294,
608,352,412,343,274,321,546,891,561,533,146,436,868,984,105,974,240,416,189,
238,767,815,997,770,266,761,198,534,320,377,964,093,646,479,841,879,874,363,
759,826,982,436,606,373,119,804,600,270,327,058,105,269,573,161,683,656,310,
259,290,125,013,575,085,675,989,555,609,129,897,419,555,295,213,862,819,780,
362,424,768,400,410,873,843,269,904,783,187,358,105,153,537,051,638,906,030,
479,889,371,912,343,260,906,577,163,839,061,752,829,708,180,863,608,083,954,
711,767,796,170,352,780,443,284,798,620,679,387,885,415,404,275,220,773,044,
891,971,728,178,147,928,871,235,214,370,437,629,871,039,677,175,967,164,524,
760,018,190,376,708,105,844,991,850,191,567,553,314,064,116,003,323,234,335,
022,822,941,221,489,025,306,717,548,437,271,612,273,531,099,813,252,645,029,
799,332,073,875,496,824,641,942,803,815,059,727,498,137,927,172,251,730,455,
323,174,321,022,180,868,446,088,657,810,708,504,570,980,365,702,560,208,464,
858,310,589,277,175,350,086,128,020,476,972,813,450,584,575,334,316,196,104,
996,635,011,686,328,649,945,570,254,929,882,583,337,518,180,260,272,881,076,
575,932,086,555,211,436,604,624,850,677,927,206,071,241,441,221,574,556,628,
361,130,466,843,732,491,945,192,429,759,652,905,034,418,067,106,549,607,847,
272,961,500,926,028,418,227,516,127,283,064,339,286,760,104,485,229,571,716,
917,087,909,648,595,344,899,501,541,732,710,645,123,577,149,848,763,079,259,
710,785,532,536,497,791,663,815,651,519,769,673,603,021,374,685,040,155,424,
230,333,976,634,255,373,301,410,987,539,663,604,379,457,714,350,318,746,386,
188,341,180,557,204,839,158,182,159,494,646,710,816,371,533,433,018,088,196,
506,774,530,480,746,672,277,440,836,686,002,767,372,590,514,579,778,613,230,
245,281,372,213,327,239,069,776,186,297,236,147,252,791,072,983,173,641,666,
858,245,641,313,497,413,809,572,235,413,810,655,631,010,095,873,866,883,507,
012,573,636,822,777,685,008,796,341,301,828,110,113,658,027,244,725,907,121,
096,679,740,357,042,534,378,525,669,115,197,684,131,038,371,317,277,103,127,
525,530,645,182,228,573,055,228,246,047,106,522,178,753,188,090,459,987,548,
198,617,764,529,578,488,325,685,250,460,302,821,307,446,727,318,220,863,814,
451,659,136,456,746,202,319,712,923,301,555,087,338,143,481,582,163,245,612,
003,557,878,963,162,246,227,668,077,910,954,274,259,013,696,186,189,331,726,
323,227,441,007,812,182,731,831,286,592,469,304,773,372,680,077,091,599,486,
476,197,828,236,788,917,094,681,663,766,450,925,432,754,032,449,446,748,094,
504,527,351,887,814,744,943,143,663,612,730,254,104,494,642,067,903,732,044,
618,104,373,698,576,686,357,122,872,857,783,497,109,581,584,011,623,962,330,
125,117,960,370,894,085,997,826,025,341,780,836,080,543,189,784,298,562,658,
969,969,077,140,670,927,394,651,385,878,740,491,942,814,551,532,674,560,343,
430,403,888,376,435,264,656,923,980,910,733,815,933,870,619,119,577,825,635,
910,594,221,734,045,979,399,682,156,416,103,698,765,332,192,141,386,024,400,
127,575,536,291,501,669,631,232,271,554,494,803,345,379,535,780,915,324,325,
029,415,574,077,987,027,612,722,796,843,168,439,688,112,077,028,844,586,265,
358,134,323,915,433,959,901,281,766,645,481,871,111,766,617,284,720,844,852,
283,654,542,808,699,201,560,044,328,288,859,673,134,954,794,607,866,148,448,
846,450,599,820,986,679,701,407,091,835,738,678,866,803,936,928,312,253,377,
336,342,185,188,029,252,925,456,844,749,252,693,014,485,349,071,089,924,398,
682,031,461,963,455,511,985,550,615,752,891,243,498,025,535,951,361,504,229,
953,596,465,763,630,647,691,703,078,585,482,963,913,234,462,570,164,649,552,
538,797,157,644,064,252,520,136,955,030,138,894,220,247,675,085,406,046,284,
232,565,832,376,419,917,575,961,406,694,261,885,766,514,292,193,694,636,491,
789,952,709,466,178,882,235,178,364,229,185,220,780,298,642,138,187,849,316,
506,822,437,537,983,348,444,239,128,127,360,016,538,224,530,556,256,149,598,
417,668,576,128,104,422,136,094,845,224,477,985,377,795,474,494,695,645,303,
515,023,424,813,336,192,894,886,198,163,785,851,890,274,941,193,478,900,094,
398,135,961,533,662,442,303,719,006,341,432,422,018,028,977,850,775,609,345,
812,050,121,716,307,395,999,186,248,805,906,738,124,860,537,669,398,335,603,
924,037,115,914,806,478,072,362,650,243,703,387,043,911,476,405,660,546,952,
798,259,070,499,669,715,223,622,407,454,419,487,384,176,245,046,106,599,077,
773,666,103,744,665,933,649,985,402,793,641,855,323,773,137,167,301,276,283,
077,788,679,991,330,310,283,994,659,134,093,069,468,952,153,359,005,273,356,
715,546,556,595,523,576,503,664,547,157,918,566,186,936,685,339,246,507,841,
010,756,362,087,300,994,017,014,049,190,980,449,764,695,335,375,453,539,248,
547,780,152,253,005,773,926,282,692,110,187,177,905,290,770,973,726,964,173,
003,660,802,008,535,091,469,483,246,203,657,722,270,393,829,757,283,072,111,
255,216,459,940,881,375,614,085,079,509,928,118,765,789,259,578,148,140,771,
487,657,017,688,928,831,846,807,858,800,634,096,514,709,288,425,111,688,016,
655,942,274,727,814,616,988,432,360,022,657,117,308,860,573,775,496,385,963,
572,220,130,715,112,985,826,533,687,499,333,089,106,767,543,410,145,488,929,
434,205,987,316,595,222,354,408,115,137,355,086,762,965,512,556,549,182,246,
960,484,254,381,562,726,291,407,266,520,716,429,745,790,564,937,693,873,161,
617,119,019,187,568,381,043,702,397,173,917,443,336,518,526,313,323,524,485,
796,689,981,352,571,337,524,987,333,860,412,659,414,494,059,587,900,248,552,
841,567,336,469,743,929,087,770,815,489,304,506,025,810,628,793,238,141,105,
565,960,143,196,754,026,848,162,952,035,432,783,630,302,410,214,190,890,963,
627,242,490,134,710,558,811,251,220,447,491,009,215,824,050,828,895,468,302,
799,232,724,940,984,676,523,769,648,733,113,309,317,003,145,035,123,766,814,
415,828,999,518,152,933,744,823,779,774,672,380,672,802,272,266,746,061,986,
709,888,116,785,959,707,535,078,582,833,280,343,442,162,400,862,727,453,330,
131,303,575,916,276,301,338,531,210,364,243,583,617,861,222,126,549,866,697,
799,710,555,442,731,067,005,571,245,973,410,693,634,433,225,617,846,665,691,
694,752,694,454,892,618,112,883,023,743,324,751,372,457,010,731,326,310,302,
772,061,985,629,893,440,959,222,360,886,639,710,456,477,701,588,068,139,889,
220,046,384,392,990,537,954,710,081,132,201,152,986,165,916,995,724,354,984,
340,336,848,720,184,223,321,152,348,121,204,061,154,081,327,568,489,979,566,
634,670,053,283,961,684,392,995,705,907,123,917,258,505,910,410,122,113,289,
285,675,997,608,798,560,498,320,068,590,137,915,893,448,282,775,717,837,393,
549,748,955,200,950,007,330,879,019,136,327,505,632,749,985,782,008,439,736,
493,139,558,583,007,597,079,162,934,083,531,539,162,788,063,192,650,274,276,
214,253,003,941,477,593,206,944,836,722,925,795,084,855,251,615,181,291,339,
416,157,079,537,552,478,524,267,316,374,945,542,131,658,812,940,109,584,513,
894,914,024,067,106,085,189,998,828,622,096,513,885,237,440,619,284,480,764,
060,978,616,885,140,974,354,465,415,790,030,336,328,523,395,070,219,817,046,
864,879,232,409,220,749,098,783,340,328,668,737,235,936,706,565,003,004,188,
077,952,893,160,662,147,507,656,741,731,426,982,935,578,691,193,535,414,009,
456,113,993,671,792,054,365,869,024,455,355,690,448,675,152,905,799,305,099,
330,391,975,689,236,748,235,794,095,207,849,126,246,790,675,410,620,611,572,
763,955,309,479,475,437,919,261,504,627,653,159,832,879,509,009,672,496,819,
980,143,704,405,669,555,101,849,401,848,757,665,327,014,623,653,573,301,948,
304,041,573,545,015,759,560,929,427,334,021,351,689,213,630,960,477,654,579,
031,421,491,384,135,955,121,584,629,584,428,914,457,562,436,623,576,713,924,
283,049,076,649,570,169,458,140,236,722,731,870,551,751,606,604,752,230,336,
564,296,528,474,803,713,771,286,839,249,503,630,280,568,151,845,820,872,344,
992,790,777,720,013,545,926,138,574,548,696,389,949,609,854,784,515,414,601,
120,745,304,505,737,672,020,893,142,609,775,949,908,633,228,833,379,856,192,
900,225,604,835,154,849,778,562,114,389,090,603,296,690,465,871,711,513,866,
587,980,059,090,340,281,808,167,756,425,091,734,018,788,865,407,621,196,800,
096,825,795,484,285,234,184,690,805,428,225,806,476,116,649,053,903,763,048,
647,588,409,909,904,009,360,306,943,990,726,966,580,407,251,014,914,680,385,
508,720,040,225,177,538,397,622,033,237,438,338,567,651,975,470,709,777,951,
360,206,822,721,901,431,489,938,465,283,957,257,874,686,812,310,059,416,034,
455,905,738,439,262,151,508,143,686,727,283,977,071,272,715,741,478,078,570,
499,162,366,351,666,535,418,283,846,998,038,193,296,639,369,044,414,775,731,
198,969,680,147,611,396,317,670,946,427,697,468,085,080,146,228,419,296,701,
904,912,020,657,244,871,095,841,776,652,100,453,565,892,343,321,192,276,675,
782,731,224,857,365,297,203,878,766,303,166,791,394,863,574,350,502,069,264,
856,783,034,135,967,285,823,240,975,941,492,782,286,184,364,571,037,225,870,
768,212,976,649,964,662,586,492,872,198,024,456,059,122,882,228,328,304,504,
838,384,669,647,539,930,221,826,842,397,414,409,547,810,557,756,916,199,687,
257,902,541,380,691,488,587,865,178,127,332,748,508,487,180,394,078,293,721,
687,400,241,093,493,841,590,250,286,711,273,947,306,712,427,280,719,539,757,
733,603,162,171,542,859,820,327,439,787,293,362,651,757,675,425,190,800,928,
404,424,904,842,478,308,780,274,917,501,959,055,429,790,713,528,255,609,524,
760,448,683,702,050,714,557,128,151,299,268,806,431,340,907,488,877,784,130,
813,429,715,636,589,897,936,817,908,512,053,625,031,750,668,486,233,410,183,
739,433,460,011,390,189,265,111,000,304,108,581,327,704,113,191,325,331,568,
400,820,757,750,389,208,090,587,805,599,946,590,009,780,574,664,080,621,612,
598,122,591,391,157,789,050,972,628,537,897,993,941,349,625,695,418,824,756,
923,274,115,045,808,034,637,889,258,891,256,089,327,310,468,965,309,147,863,
694,560,551,624,215,612,358,954,168,533,324,648,127,966,592,082,251,531,288,
649,790,084,846,392,054,758,928,377,214,445,284,692,595,703,220,770,353,284,
970,070,458,825,066,987,298,259,140,279,576,842,285,629,976,259,380,746,419,
379,537,917,621,621,441,461,706,212,085,228,444,494,525,183,409,596,152,656,
751,170,634,349,321,152,181,348,791,407,791,550,083,736,043,451,158,559,769,
841,047,111,260,902,715,781,453,401,115,816,976,249,692,145,398,040,914,579,
064,835,828,759,428,001,673,344,461,175,689,876,488,450,689,350,585,653,834,
219,994,744,101,854,097,277,053,161,454,020,673,019,395,763,100,747,120,295,
418,632,810,106,531,714,203,106,672,468,721,607,706,840,005,965,276,173,231,
256,817,483,034,806,471,848,893,029,765,327,185,366,320,612,638,835,270,761,
961,624,772,948,233,719,312,573,720,369,657,635,293,517,565,950,773,881,725,
430,441,513,438,906,536,735,467,823,958,495,015,185,771,587,569,951,518,507,
348,134,724,321,995,759,554,867,513,328,581,324,089,184,940,208,371,719,881,
449,084,551,673,402,185,789,179,384,942,589,969,921,439,759,462,811,797,162,
253,326,660,102,987,995,538,003,870,977,386,319,797,802,014,401,791,048,396,
610,922,453,137,167,766,245,181,513,609,835,161,458,052,565,599,844,444,817,
936,641,081,344,628,591,702,995,396,984,138,699,814,824,914,380,937,855,790,
534,760,462,689,332,043,195,238,586,517,811,975,022,848,983,313,859,951,653,
736,487,537,020,637,244,927,003,794,950,642,196,864,223,133,800,072,510,999,
283,158,101,497,998,292,684,289,951,196,671,613,070,020,595,972,166,300,445,
885,282,339,172,169,338,937,300,233,219,352,278,408,765,056,853,881,921,447,
996,160,735,947,750,848,736,553,215,093,236,058,903,085,270,360,522,737,795,
668,831,540,371,071,250,300,776,779,361,081,679,281,377,626,233,091,866,142,
144,007,574,844,954,434,295,153,158,473,935,725,599,779,622,384,441,646,508,
365,994,922,496,585,964,867,540,507,479,550,306,846,562,490,826,950,110,291,
740,928,845,546,970,654,736,066,462,455,359,087,615,417,740,752,210,821,576,
507,931,824,012,537,720,360,124,958,196,561,775,729,223,900,544,221,998,695,
254,802,575,208,196,379,693,389,319,495,360,418,822,415,926,741,198,026,799,
734,656,527,638,714,104,869,793,070,176,243,089,296,365,285,415,792,720,110,
625,213,341,721,858,816,015,349,695,051,360,524,536,900,227,631,206,527,726,
989,134,462,446,837,540,909,469,648,051,782,551,878,183,407,999,299,391,510,
774,397,065,607,034,204,400,226,727,713,846,751,963,684,815,300,980,803,755,
576,649,577,463,489,695,766,632,274,218,834,234,737,669,265,260,413,243,065,
597,277,567,154,139,436,465,938,272,874,852,794,836,640,252,678,397,203,119,
134,583,598,453,311,991,691,009,514,776,715,679,397,569,757,676,556,596,958,
999,651,503,472,482,550,425,105,473,737,843,230,517,368,369,869,856,607,935,
738,176,468,860,052,466,123,659,475,343,592,196,311,093,771,682,108,300,998,
621,608,476,066,791,717,682,422,595,979,870,824,146,412,749,998,105,840,443,
389,644,377,964,337,640,004,857,837,474,026,325,834,679,119,705,157,535,257,
856,053,210,028,424,172,072,316,595,665,176,277,558,066,899,060,424,238,083,
372,989,759,544,811,403,500,937,540,654,206,265,530,585,056,168,527,658,535,
477,400,323,285,873,378,818,621,355,816,759,858,122,258,769,261,079,116,178,
751,710,293,911,881,388,741,599,800,000,732,294,624,423,230,018,986,178,893,
630,087,668,538,596,316,070,690,698,691,565,039,237,315,689,772,317,655,408,
677,721,217,973,703,340,936,997,088,066,160,665,519,586,577,388,513,169,356,
527,156,030,746,188,965,404,642,617,597,280,764,416,627,044,640,565,677,867,
004,763,094,764,915,674,734,251,370,941,487,880,543,346,555,235,467,784,527,
049,816,554,772,154,581,473,438,858,707,916,525,074,693,029,755,113,157,823,
641,859,466,106,552,000,569,222,398,849,052,106,722,620,889,523,770,002,795,
246,485,582,724,830,913,026,829,759,968,693,840,909,309,317,993,498,601,242,
023,894,223,195,212,233,653,136,068,128,233,003,468,621,364,712,445,923,274,
150,051,519,034,231,818,668,706,202,988,348,861,373,895,934,797,752,153,247,
866,198,128,793,397,015,867,475,435,879,060,006,613,986,703,342,925,183,079,
271,083,580,457,391,444,477,668,382,337,505,266,530,173,995,670,303,993,361,
118,703,068,263,362,458,503,008,310,171,927,069,060,862,351,096,893,264,373,
791,858,893,667,051,005,928,525,690,613,392,013,319,211,939,034,505,123,853,
482,644,592,504,995,333,251,672,768,633,884,078,494,631,230,377,967,726,873,
888,848,022,571,101,918,620,063,585,292,965,816,346,930,870,057,608,705,931,
292,497,577,754,215,625,335,073,658,851,274,338,733,566,437,288,943,419,438,
050,784,363,222,108,600,154,921,114,550,805,787,071,138,189,275,095,745,431,
205,532,153,624,665,884,152,234,834,572,371,628,697,192,859,963,680,759,078,
421,892,768,596,183,840,618,574,420,376,509,700,680,283,409,773,730,688,678,
864,159,033,370,650,992,012,175,509,186,984,030,392,805,156,884,510,020,686,
494,175,206,564,148,230,804,276,241,460,008,373,696,130,276,042,145,912,202,
003,377,029,538,347,206,703,737,998,987,500,991,282,583,892,040,897,295,834,
406,936,465,823,806,634,177,408,088,201,325,822,861,195,955,913,258,371,299,
639,143,698,013,522,633,569,514,399,126,582,331,182,912,664,318,349,697,529,
347,359,939,799,238,550,505,579,904,510,125,260,842,404,237,454,414,414,285,
658,540,419,022,498,746,925,841,095,339,413,563,945,618,345,095,034,673,651,
921,970,051,632,290,564,623,816,187,281,752,770,531,165,760,047,318,429,914,
226,234,200,635,049,404,237,590,026,638,733,381,688,051,028,475,374,093,766,
164,295,216,963,860,548,894,712,685,178,766,217,270,970,180,905,993,226,088,
927,492,377,666,736,331,945,711,126,145,446,771,632,327,952,391,184,313,200,
165,786,428,520,756,212,426,039,165,627,481,988,543,871,146,072,330,826,321,
026,831,307,894,432,455,330,431,297,880,088,145,695,395,249,208,376,792,669,
907,234,820,129,148,215,537,236,680,788,109,578,550,019,001,399,266,252,221,
158,619,415,315,597,785,288,782,834,162,301,752,673,233,143,862,465,790,549,
166,883,051,927,048,926,740,841,555,134,886,137,898,301,264,999,609,101,064,
448,824,312,482,804,272,663,631,832,754,584,953,232,332,906,167,520,737,110,
147,650,671,003,836,245,873,773,152,432,352,210,855,475,014,661,261,977,513,
295,301,894,686,374,668,397,214,375,696,769,275,208,128,972,594,609,913,646,
549,681,399,119,793,439,102,322,242,818,643,790,898,111,567,466,726,597,585,
884,689,231,897,463,291,305,192,816,513,875,613,322,673,613,080,125,509,275,
718,343,649,696,525,999,489,171,052,580,795,677,135,794,017,809,322,946,891,
747,476,242,076,556,053,262,827,462,704,047,687,047,123,715,134,803,494,546,
071,194,384,151,085,400,183,756,996,800,104,757,418,095,175,408,410,214,192,
148,265,257,086,559,775,921,107,993,911,940,777,564,469,588,043,440,842,929,
042,370,953,849,767,157,733,050,830,806,354,614,923,779,652,114,509,630,443,
943,337,587,761,845,595,574,796,151,574,403,641,576,545,156,478,532,363,934,
914,752,037,484,794,655,502,342,633,476,257,302,737,515,210,128,837,841,067,
825,579,739,616,210,811,556,047,498,286,285,519,043,661,817,985,466,516,874,
244,011,213,874,233,457,418,378,441,872,913,073,796,078,813,582,703,865,285,
242,617,670,761,567,891,156,345,450,533,512,171,755,944,494,406,201,441,682,
821,428,657,916,354,691,928,743,976,944,504,071,541,772,434,000,758,587,355,
205,720,706,249,054,833,450,877,863,627,180,418,483,654,957,027,016,942,476,
652,659,265,879,251,424,460,023,399,094,309,878,216,395,175,430,104,823,737,
172,915,219,578,450,338,354,766,480,077,719,681,302,748,683,664,462,440,586,
715,300,121,508,212,828,779,467,307,589,357,956,122,444,737,764,101,753,828,
860,479,198,098,326,356,690,620,303,852,305,729,092,794,784,135,383,848,225,
926,050,679,278,012,355,001,309,877,047,676,107,469,197,605,720,617,038,930,
466,631,612,608,486,326,286,340,498,986,829,030,335,807,227,850,600,411,772,
626,075,346,596,397,353,325,037,511,794,839,920,146,859,261,013,217,433,621,
317,672,173,489,080,451,591,602,214,389,420,177,789,049,783,306,858,215,849,
366,323,829,861,955,710,191,990,148,795,449,519,570,076,560,025,482,309,456,
414,937,123,268,935,326,235,448,147,681,503,810,092,419,419,905,333,128,388,
517,056,069,161,055,818,917,211,625,072,966,053,153,005,481,292,108,413,910,
331,012,875,352,890,131,904,949,828,651,890,473,440,431,984,641,078,221,977,
931,230,422,093,245,596,292,604,912,451,292,010,568,101,508,821,097,860,007,
022,274,090,681,838,543,074,418,736,021,431,948,980,471,986,289,605,861,662,
204,067,758,494,487,596,526,416,299,189,166,793,136,269,846,434,344,580,298,
335,655,043,073,291,623,938,662,579,778,270,671,475,311,303,245,841,387,355,
354,751,762,332,648,170,829,385,914,094,658,652,016,070,693,920,518,479,365,
365,963,389,059,375,908,162,038,873,775,792,189,791,795,345,025,026,630,731,
574,831,992,123,637,851,586,803,834,154,965,427,330,325,468,342,723,675,134,
055,828,449,751,595,152,294,843,011,286,461,289,248,316,705,147,834,169,209,
970,892,443,389,468,484,353,694,723,983,797,828,842,374,589,610,009,099,891,
308,149,867,364,267,290,905,830,480,426,649,370,468,996,462,953,077,805,406,
933,065,256,784,200,330,706,656,008,474,862,014,813,652,233,850,972,568,126,
018,427,955,274,402,384,157,432,909,731,303,231,532,938,991,910,000,311,353,
662,880,251,198,027,290,193,095,412,664,146,292,840,250,019,362,585,241,815,
836,613,841,100,121,121,920,476,568,210,087,778,542,962,450,703,626,990,349,
926,699,721,543,884,277,226,411,739,222,443,309,707,035,885,415,130,587,160,
835,594,923,617,125,486,506,641,820,285,803,046,100,169,856,253,629,183,277,
819,664,248,189,268,617,503,715,601,863,340,295,856,035,038,972,522,619,288,
215,210,084,740,660,673,877,918,844,264,071,778,218,829,060,655,829,825,763,
502,068,798,666,720,322,090,711,304,781,529,486,739,264,122,351,147,167,688,
986,343,276,853,271,846,320,796,850,600,320,060,521,758,668,625,258,770,469,
286,248,440,335,104,160,194,962,747,618,386,272,924,538,834,985,548,763,244,
533,668,719,002,866,690,290,473,974,937,156,325,813,336,510,685,069,407,941,
908,039,782,646,789,785,064,142,477,465,958,271,423,249,077,786,666,544,723,
054,933,119,996,892,909,567,223,407,105,871,002,044,474,403,516,093,028,754,
165,829,433,749,554,655,106,607,452,195,933,258,687,397,817,959,418,417,743,
026,098,083,400,093,463,456,959,140,144,034,889,175,930,403,010,141,627,504,
138,669,000,980,346,421,142,011,957,614,425,064,528,849,039,494,835,212,155,
930,269,287,722,388,565,759,754,696,994,560,059,621,034,851,733,759,846,989,
007,764,983,889,439,960,559,516,075,057,977,708,585,200,402,729,856,105,012,
662,639,510,891,987,364,080,172,896,034,508,741,906,437,632,417,962,578,709,
783,941,976,628,240,307,181,963,753,068,770,680,086,486,466,170,959,098,328,
469,968,985,735,202,523,449,145,067,477,360,044,315,924,930,705,514,421,490,
607,078,001,884,284,467,826,931,860,300,305,429,675,271,229,395,236,676,104,
937,389,358,354,488,633,570,931,626,593,857,619,359,298,292,961,576,134,822,
505,978,445,058,938,426,885,213,549,485,726,035,866,140,727,447,515,893,520,
102,104,869,197,353,857,687,484,482,011,738,158,904,595,433,357,633,416,842,
233,310,289,257,221,975,422,985,308,136,261,744,712,553,231,014,123,565,163,
524,177,228,360,647,287,619,699,978,003,288,265,205,577,192,699,858,696,905,
297,630,796,172,014,523,259,400,746,554,403,537,173,743,766,138,487,700,514,
088,863,126,665,032,643,464,586,944,808,232,343,266,217,265,241,523,651,209,
328,983,329,883,275,863,963,098,668,661,772,960,699,721,139,828,211,251,625,
762,402,743,859,350,454,538,923,562,682,163,951,744,520,826,905,247,822,662,
861,920,474,002,175,919,175,349,506,820,541,392,389,186,233,438,232,159,455,
699,418,185,136,918,724,389,958,007,408,871,603,480,065,095,294,247,903,293,
240,589,773,273,299,399,348,433,855,779,318,180,323,208,425,728,014,039,130,
897,292,357,055,143,904,728,389,645,460,530,870,059,030,572,684,102,572,018,
437,879,218,482,840,336,441,226,557,740,613,359,676,208,292,038,698,043,986,
425,656,168,381,787,460,016,066,928,485,969,357,108,456,383,801,887,950,304,
231,231,064,522,056,670,201,525,996,478,839,001,756,351,216,714,862,958,544,
610,388,793,140,105,587,373,321,158,759,499,356,678,563,314,270,826,976,561,
762,450,826,284,113,784,959,296,348,908,000,872,331,699,585,311,406,660,690,
222,302,999,707,012,967,102,409,439,607,782,746,885,530,049,395,241,122,236,
718,187,069,307,018,483,955,195,512,433,211,819,871,403,244,396,503,247,270,
153,489,390,872,392,926,705,024,069,954,877,255,666,983,599,092,435,138,499,
604,310,562,836,611,287,993,611,075,859,331,853,716,676,256,470,018,372,614,
155,692,174,549,863,775,165,357,294,080,801,305,436,888,198,617,396,525,168,
808,431,607,862,533,260,623,738,859,289,548,172,806,620,859,874,894,776,916,
266,103,564,143,987,840,492,058,934,774,513,011,489,447,665,055,604,408,668,
359,000,379,814,087,856,346,953,920,776,186,420,435,685,195,800,450,637,287,
772,679,452,903,513,197,245,340,018,533,660,125,474,051,962,434,218,454,318,
063,635,913,146,818,659,146,188,202,130,767,006,875,495,792,670,859,953,840,
425,512,732,158,678,572,442,950,943,634,318,572,992,217,688,741,555,746,991,
363,807,481,792,506,291,628,959,574,723,529,750,681,131,724,125,881,001,018,
013,253,257,253,037,208,215,211,090,795,040,140,739,944,125,675,628,780,465,
027,555,166,855,967,981,262,038,831,242,376,955,337,520,297,526,225,652,908,
937,585,094,007,412,848,502,820,111,215,541,411,013,905,702,264,053,769,052,
938,973,572,569,479,471,354,789,553,021,526,713,106,405,093,220,160,679,080,
171,449,988,017,811,989,684,553,438,635,529,036,114,920,842,320,570,208,773,
558,477,334,347,490,611,122,606,702,633,137,660,303,287,512,263,271,065,093,
790,466,555,259,686,110,075,513,192,508,466,406,462,840,253,717,681,681,197,
927,041,022,345,080,919,700,040,511,525,588,877,070,894,075,629,057,145,167,
125,478,221,344,745,458,443,124,395,927,521,149,821,104,976,398,222,067,707,
789,657,111,965,224,449,309,674,836,015,380,956,635,153,909,162,656,651,233,
440,478,162,166,529,368,797,495,080,185,541,949,644,835,358,025,256,322,848,
096,590,005,560,228,612,877,080,189,261,822,133,822,105,460,267,739,064,049,
129,852,240,873,643,255,324,207,062,952,931,674,672,681,989,496,008,605,846,
827,223,904,935,555,964,768,940,866,748,587,200,074,793,604,463,744,610,303,
546,672,361,235,248,718,293,545,528,328,636,844,030,816,029,005,481,624,951,
233,633,616,882,441,419,368,856,205,928,040,246,356,650,337,541,263,588,803,
494,587,607,473,873,457,632,374,074,854,337,511,918,487,703,542,939,310,041,
871,583,489,993,838,618,047,405,749,835,460,298,173,100,451,717,249,672,630,
101,122,481,054,146,444,787,766,187,043,259,194,775,274,545,971,618,549,099,
470,782,223,031,861,045,025,233,642,727,337,009,083,398,997,333,627,621,859,
843,179,982,840,965,889,660,328,636,416,638,491,618,743,166,416,381,441,654,
168,908,547,346,820,770,998,303,207,206,140,863,489,737,386,524,413,275,234,
616,819,586,514,756,194,638,249,191,839,130,925,351,853,045,689,031,030,120,
492,538,892,634,293,232,042,488,545,582,885,787,715,191,394,279,729,526,575,
915,905,446,290,119,879,770,414,261,474,758,178,532,379,748,580,479,417,356,
619,685,225,442,845,682,363,760,497,194,449,886,694,218,591,195,843,673,962,
713,140,478,522,261,326,100,541,800,368,558,088,830,395,568,751,090,618,018,
953,773,312,695,598,276,017,938,582,611,537,918,305,021,114,965,297,110,768,
123,792,616,052,814,684,066,398,305,495,224,853,995,259,054,197,066,636,967,
774,903,212,222,688,581,053,223,379,886,881,087,345,421,789,668,367,113,729,
195,503,645,470,183,340,733,929,045,128,714,864,182,706,105,324,071,268,445,
327,566,941,998,130,358,017,292,285,987,983,904,286,138,011,937,153,928,278,
388,493,573,518,942,437,377,510,633,433,840,501,670,167,523,540,141,527,598,
870,866,072,120,949,584,684,064,149,227,068,476,584,641,311,002,628,444,629,
040,382,695,757,529,460,568,087,754,864,219,129,976,556,301,838,320,292,055,
221,439,506,920,658,010,987,381,816,413,951,440,933,311,607,444,466,781,509,
408,371,023,204,136,314,813,507,177,412,506,585,364,196,159,581,127,248,370,
402,336,197,416,069,201,698,255,970,372,845,809,762,252,244,021,076,060,554,
678,463,771,263,732,789,133,993,057,061,925,671,384,901,606,209,208,069,768,
991,256,950,220,874,388,733,195,161,897,436,052,360,778,016,184,013,418,804,
436,258,310,211,387,331,303,444,700,028,005,001,364,537,228,876,378,603,108,
285,607,111,386,764,307,090,320,895,419,053,274,139,847,839,945,620,778,043,
042,527,638,181,867,175,753,263,418,829,049,126,459,423,822,388,601,540,157,
721,163,391,702,210,765,996,003,345,110,029,760,239,753,019,649,318,418,241,
551,293,197,922,080,466,534,418,172,453,409,440,916,545,557,361,872,201,165,
177,025,878,867,132,601,977,832,310,794,319,420,596,829,916,101,551,737,858,
047,856,064,834,865,064,361,980,833,840,950,695,824,429,108,459,007,199,271,
011,419,240,880,758,599,094,699,851,525,681,434,548,332,718,363,938,210,419,
509,708,792,643,802,725,885,471,602,054,307,126,694,983,469,790,878,353,651,
432,791,676,444,212,965,781,444,121,491,672,443,237,826,025,406,920,330,593,
741,037,837,999,631,581,911,171,404,209,932,768,450,045,770,056,708,776,397,
522,295,923,882,683,094,894,630,962,942,510,619,945,524,237,299,320,173,158,
434,671,545,143,507,567,718,345,829,166,597,681,912,104,117,342,720,214,276,
528,649,018,101,798,381,306,292,618,819,675,516,262,059,751,124,161,463,196,
507,574,139,549,998,405,614,335,588,176,164,582,792,909,882,215,807,246,259,
527,632,586,814,281,120,425,567,822,451,757,794,273,996,658,251,642,537,958,
481,756,948,219,794,928,526,995,497,959,645,760,193,861,821,321,977,844,793,
731,497,093,034,186,583,054,246,927,929,419,112,616,483,627,283,971,370,288,
794,420,482,791,469,920,965,582,556,102,325,391,007,866,786,974,433,275,692,
549,104,454,917,884,006,649,531,881,387,375,061,632,597,556,156,103,667,015,
938,175,560,101,191,854,780,750,608,234,074,166,196,009,499,122,567,030,400,
102,787,118,840,415,430,594,231,580,143,508,824,666,770,214,261,401,317,756,
133,290,967,997,987,431,403,596,922,617,610,361,992,698,768,088,608,616,776,
739,977,007,228,317,882,071,526,806,326,113,306,381,025,515,618,407,398,258,
501,153,492,207,362,766,642,148,008,162,387,754,611,865,060,378,921,643,257,
134,373,134,513,284,399,128,546,673,321,365,035,144,205,905,931,719,518,473,
692,467,898,594,835,602,971,131,320,703,944,130,212,202,548,324,778,086,509,
977,588,680,287,965,896,849,125,368,795,447,628,681,421,411,377,659,741,651,
745,157,240,465,019,920,498,474,770,468,335,977,859,572,683,010,603,212,186,
956,243,492,184,250,360,537,114,104,929,151,634,435,905,156,607,483,565,019,
585,055,279,474,053,352,754,356,294,950,732,986,585,832,131,120,041,656,972,
658,265,718,105,088,998,964,768,203,882,100,782,552,882,364,412,342,300,454,
564,412,366,382,908,371,469,647,164,729,475,861,524,848,507,219,119,172,302,
104,840,320,370,669,993,680,666,465,690,117,751,775,789,889,143,351,179,704,
321,861,113,287,156,466,339,171,529,342,944,902,695,669,714,060,070,120,470,
633,484,434,616,188,066,667,430,863,957,690,544,167,808,334,146,076,125,128,
430,360,627,404,982,833,838,573,027,144,997,865,132,997,021,959,621,904,954,
875,015,048,870,928,710,883,626,083,253,307,749,938,558,297,102,091,935,633,
227,138,658,029,576,582,407,874,470,331,130,688,855,211,866,537,830,611,128,
068,517,236,899,305,902,143,926,317,947,545,679,874,945,034,131,224,860,589,
084,497,471,197,554,789,646,113,439,439,137,275,486,065,873,270,015,290,474,
718,729,699,045,603,912,905,507,184,500,905,471,112,822,007,247,197,419,981,
456,309,122,586,660,300,730,393,116,802,051,917,208,838,274,315,496,612,373,
735,246,809,714,587,234,276,810,254,459,863,076,798,173,986,664,410,781,767,
769,762,860,966,230,262,944,368,959,900,789,799,829,641,390,376,307,304,544,
842,093,087,622,724,810,747,941,495,007,206,562,894,987,893,447,467,161,832,
011,428,059,697,674,471,955,591,345,201,444,584,349,623,270,258,808,882,896,
396,431,065,756,280,913,208,221,443,547,626,353,953,285,339,432,724,366,871,
170,157,665,481,083,757,416,973,352,112,627,859,129,259,042,005,057,805,424,
812,908,833,638,037,880,925,818,326,447,253,376,431,708,597,758,850,480,226,
318,462,289,108,524,072,989,479,670,173,332,718,600,056,537,156,842,484,355,
512,835,247,613,045,281,212,944,192,895,417,110,191,864,169,416,295,358,072,
932,318,483,726,552,825,452,784,647,470,080,544,907,881,794,564,909,741,386,
594,242,311,354,440,248,730,973,916,958,028,306,585,595,666,037,125,786,621,
907,249,996,998,978,180,018,449,471,278,432,530,663,555,862,501,956,349,750,
759,344,691,692,134,288,632,370,639,292,670,642,722,457,118,902,403,683,072,
308,473,091,016,960,294,404,147,289,584,458,905,309,055,808,117,723,465,432,
491,221,933,788,358,769,196,993,030,019,277,145,251,582,392,648,278,147,884,
905,557,191,009,046,048,248,678,337,901,146,153,055,601,894,276,091,674,642,
938,255,811,025,527,465,477,964,838,084,304,896,137,724,985,344,925,160,100,
224,171,961,521,541,811,277,999,474,315,263,298,138,339,024,714,759,977,066,
564,474,068,152,373,243,181,657,675,489,846,849,305,689,171,394,941,392,347,
036,401,114,971,348,813,394,517,615,902,167,791,674,740,479,559,830,954,224,
677,032,279,177,175,881,540,350,466,133,000,458,782,818,609,937,314,996,098,
576,998,181,607,239,454,229,787,527,196,655,199,841,258,284,534,767,977,486,
804,898,277,085,398,132,936,628,102,325,792,192,934,659,526,635,426,821,414,
120,276,574,829,408,523,336,888,106,694,814,924,184,829,702,382,997,150,607,
026,803,673,021,161,267,862,445,011,805,315,267,144,951,544,601,004,546,265,
274,393,230,250,561,237,964,394,190,109,104,313,417,876,871,821,625,953,355,
470,392,904,790,451,132,199,412,271,403,671,285,480,526,368,723,673,099,539,
232,287,556,957,860,428,733,067,622,432,629,255,738,041,168,242,828,704,046,
989,250,094,711,688,029,031,068,468,070,992,190,658,460,484,177,388,359,672,
829,712,363,846,244,991,981,632,718,705,950,693,339,187,004,782,262,113,902,
473,658,148,463,342,315,106,997,706,997,169,795,880,769,881,411,283,711,752,
210,824,629,128,666,178,987,338,435,055,046,912,791,030,257,464,665,110,362,
708,669,262,297,866,216,140,102,402,637,023,651,667,376,199,317,522,150,429,
119,727,981,671,030,336,640,311,748,146,262,134,069,585,422,493,131,453,180,
174,105,231,477,428,563,423,886,145,281,991,528,457,356,660,783,906,763,132,
250,716,620,967,725,932,054,456,436,279,546,624,424,793,209,233,819,247,097,
922,648,226,259,699,785,146,656,950,550,599,788,133,025,169,135,357,514,359,
527,425,167,090,048,743,546,996,559,029,669,373,659,273,319,634,184,465,688,
606,766,587,377,492,496,817,530,342,606,675,542,455,954,929,797,078,307,094,
102,172,462,042,668,913,938,684,806,476,203,783,586,260,651,798,254,146,309,
791,898,297,780,512,023,540,028,065,836,704,641,402,826,516,680,212,869,106,
085,204,912,830,227,027,316,523,675,124,375,620,318,017,837,508,521,400,701,
353,850,231,217,953,195,448,695,115,338,454,083,682,178,525,421,802,548,567,
532,255,175,576,184,738,413,570,681,497,026,419,210,010,761,600,166,506,142,
619,693,611,192,944,241,200,236,757,503,998,865,030,112,375,025,385,660,612,
944,997,784,282,753,051,070,791,353,956,231,271,018,284,414,579,951,189,464,
534,006,980,016,371,170,594,279,510,231,642,220,783,939,432,240,326,061,341,
266,480,258,632,937,886,684,113,512,375,408,276,729,226,318,478,981,880,371,
298,138,522,955,264,696,755,275,632,150,473,148,606,496,449,680,144,261,933,
499,701,380,651,238,646,157,156,206,292,553,829,413,459,865,394,888,069,095,
027,984,774,059,181,465,421,466,400,743,934,445,850,041,195,130,397,048,518,
750,210,629,791,935,418,722,078,280,288,761,973,312,680,473,362,766,806,243,
817,607,497,712,969,671,529,727,242,105,871,934,627,620,231,227,665,483,124,
906,506,349,208,564,876,827,146,534,408,299,199,357,365,553,068,141,597,346,
740,813,856,772,288,893,800,756,911,014,194,164,028,713,978,097,025,782,098,
150,870,192,985,558,100,299,854,440,517,374,882,855,556,554,877,379,196,948,
909,601,285,373,196,049,327,527,152,445,594,895,064,505,031,806,666,077,791,
809,917,938,476,411,046,631,068,912,150,660,747,970,084,691,192,520,438,822,
503,614,451,100,362,774,505,517,558,174,099,370,142,375,982,196,674,469,059,
938,092,369,885,334,972,637,341,090,463,258,284,823,891,158,902,613,164,906,
341,276,854,413,406,466,887,255,716,195,583,144,113,610,388,905,256,950,097,
657,199,442,917,369,480,092,171,519,469,203,884,480,285,561,217,611,942,327,
947,500,154,358,272,261,736,086,104,768,139,339,891,675,489,430,927,154,267,
255,336,405,537,927,146,478,426,100,778,548,488,290,748,356,780,276,280,414,
354,464,515,103,947,667,574,633,714,538,908,441,631,392,114,264,326,868,396,
275,746,148,096,938,103,890,546,561,580,840,707,114,750,061,928,928,629,399,
370,505,516,822,396,723,835,832,863,911,400,882,075,411,895,104,620,979,007,
516,287,068,847,034,377,099,658,364,046,880,651,819,412,167,219,278,704,795,
661,473,293,854,259,060,413,196,939,189,977,032,143,652,566,071,942,271,682,
481,955,612,318,158,108,192,900,706,608,016,041,758,946,711,480,148,341,953,
092,614,099,363,918,400,528,951,945,691,413,641,980,423,860,297,724,146,675,
925,601,789,335,476,876,703,357,007,694,747,354,260,820,332,690,997,342,579,
184,311,102,646,269,467,710,700,058,583,784,984,929,645,753,983,488,915,185,
483,433,486,309,199,150,491,138,144,243,106,964,276,123,811,510,774,035,618,
901,693,070,104,484,426,090,702,219,360,293,761,164,950,381,442,748,995,379,
963,352,911,822,092,973,470,447,715,137,246,723,622,928,460,982,616,630,257,
930,935,088,490,698,089,939,116,366,919,417,155,009,621,836,946,898,466,749,
172,414,012,403,874,621,794,446,201,725,013,630,700,536,313,031,321,337,653,
689,069,216,702,251,201,477,494,839,961,898,221,398,966,353,903,628,704,662,
808,865,184,933,914,958,425,227,495,454,241,539,540,918,555,894,058,333,799,
215,504,221,363,928,494,581,506,109,805,787,276,260,370,500,763,971,963,694,
874,974,325,976,916,484,392,058,547,008,333,177,563,225,947,704,697,136,541,
020,186,530,832,796,955,866,934,607,118,420,568,296,972,601,702,916,460,112,
209,260,483,320,978,360,300,407,746,923,592,427,422,509,465,575,855,189,085,
056,262,986,925,698,608,449,109,207,012,497,526,446,618,125,751,006,109,155,
444,086,203,880,633,564,188,366,492,202,801,022,760,751,958,193,478,261,589,
815,128,475,749,859,810,641,064,237,530,094,359,527,560,681,477,836,925,140,
823,005,285,802,155,684,276,888,337,618,114,771,445,418,014,520,975,452,865,
603,461,242,453,214,847,178,190,909,772,652,808,264,379,431,900,254,738,534,
370,645,834,972,918,692,892,563,014,632,269,715,300,198,825,096,817,430,673,
464,009,442,484,221,671,634,348,755,897,036,741,520,187,788,717,455,958,265,
812,026,165,458,229,307,040,818,931,633,790,435,451,930,738,889,722,218,788,
803,182,799,842,233,781,859,166,817,841,367,287,642,086,909,198,429,927,519,
040,724,301,344,517,574,492,476,788,021,133,326,699,492,383,890,885,040,290,
434,751,510,455,970,025,857,635,718,096,412,116,113,875,724,200,593,220,925,
585,731,494,535,408,433,871,380,375,362,452,922,520,112,324,096,984,530,125,
878,641,900,360,411,954,410,694,546,656,396,683,685,576,508,432,709,652,474,
493,256,480,801,389,053,742,219,319,307,156,879,716,532,588,532,345,806,592,
295,739,334,334,892,979,053,928,913,656,914,265,857,137,785,318,110,861,408,
165,904,389,445,997,832,757,159,871,988,873,103,878,618,959,405,596,218,412,
307,177,919,364,579,288,588,456,421,375,521,791,898,656,846,079,281,211,446,
029,948,941,226,863,316,079,864,360,582,579,353,440,120,356,875,459,108,894,
347,499,017,652,442,151,072,550,797,265,094,873,395,016,088,653,318,713,873,
790,094,871,260,100,891,759,945,566,953,436,427,512,484,793,339,532,338,450,
638,953,859,371,730,728,780,076,796,544,492,033,115,100,636,376,005,682,346,
414,513,642,079,050,489,762,109,624,536,419,440,416,792,299,365,730,284,452,
762,897,996,737,629,340,138,281,689,599,961,444,896,351,832,520,071,979,315,
519,206,028,412,740,290,963,913,906,494,406,890,716,710,835,008,803,514,231,
583,767,976,868,063,312,054,257,569,460,067,344,903,930,892,445,493,759,532,
746,469,774,951,072,811,310,177,444,704,912,857,547,904,644,207,132,004,390,
918,734,218,537,569,075,136,401,256,237,332,057,634,537,818,773,926,828,516,
040,394,556,913,965,643,628,609,946,948,367,726,771,694,236,925,700,505,555,
562,273,027,062,733,440,348,150,868,582,356,020,196,294,613,820,178,401,816,
480,498,256,670,337,083,356,823,677,720,348,408,162,247,183,383,046,057,800,
605,549,011,242,674,195,733,438,782,938,783,793,954,151,441,414,432,663,921,
938,820,225,237,698,400,982,603,063,061,746,950,920,991,331,314,380,929,455,
707,305,845,022,891,579,428,939,936,609,973,585,911,493,558,112,840,416,503,
905,867,581,330,938,301,147,627,975,246,160,956,849,638,332,106,863,513,179,
719,143,019,793,909,091,874,639,070,956,437,157,327,428,563,222,720,428,776,
241,638,058,337,855,240,683,390,950,467,395,029,984,368,024,595,794,216,824,
284,103,990,296,765,832,369,623,775,231,800,528,372,774,360,864,242,767,172,
344,296,290,370,051,894,037,162,458,157,025,408,498,512,822,796,166,031,327,
802,275,038,739,857,709,067,044,815,778,570,037,221,164,993,175,685,973,690,
820,159,396,955,837,535,354,784,656,709,818,620,675,440,693,018,855,227,021,
048,485,772,220,849,662,121,205,498,073,756,407,288,033,395,728,632,904,864,
345,286,172,147,685,254,767,802,589,704,271,011,480,653,299,453,874,591,761,
208,531,784,271,375,918,712,109,794,116,900,354,042,110,338,606,776,658,779,
335,452,027,793,378,198,685,707,133,123,803,167,371,286,679,897,106,843,316,
151,374,931,127,619,903,494,935,896,423,763,997,518,160,471,088,101,612,747,
405,183,618,963,723,178,500,735,416,384,647,239,486,480,277,846,661,534,129,
215,792,671,116,333,852,649,954,542,779,858,948,360,185,782,920,089,830,271,
129,505,751,693,355,512,366,675,472,970,021,805,522,255,978,689,552,054,361,
690,501,111,373,011,266,862,595,547,690,571,406,382,604,618,868,057,141,277,
928,250,294,306,480,247,787,766,069,690,501,178,282,327,623,239,898,316,976,
856,484,959,606,963,172,624,939,691,698,024,316,012,080,290,668,052,578,210,
123,092,502,187,725,679,854,946,280,039,468,066,244,737,323,606,652,606,704,
477,056,429,180,860,787,668,961,942,096,966,108,242,399,833,575,871,869,872,
123,724,413,293,449,064,465,798,931,065,037,250,472,931,931,876,074,934,377,
252,343,114,098,381,981,812,694,909,373,042,312,409,031,704,702,022,738,675,
031,425,049,208,249,410,461,958,027,607,257,519,834,676,953,569,748,522,421,
694,896,055,968,024,592,700,885,469,382,085,370,799,242,316,038,521,128,254,
396,914,469,196,186,177,744,857,732,877,396,905,599,160,746,897,382,589,907,
939,334,891,101,446,739,155,329,533,025,291,441,989,573,920,191,211,436,408,
812,149,577,251,203,146,796,889,117,626,793,369,722,114,326,615,356,593,742,
301,084,415,222,217,556,251,991,950,324,068,868,701,607,265,877,520,503,206,
007,216,343,856,621,462,170,126,901,694,462,456,313,806,728,509,559,466,954,
505,400,650,983,962,666,088,593,145,587,066,752,576,385,033,078,766,013,431,
509,147,967,537,046,647,258,716,807,826,120,101,598,364,099,410,569,995,686,
372,078,202,731,957,447,203,957,506,457,956,077,073,236,025,450,727,327,187,
877,210,728,045,361,417,907,832,713,057,253,841,601,455,519,832,586,894,266,
251,153,096,621,027,193,434,620,496,556,176,437,559,150,845,073,733,808,420,
112,974,532,758,868,204,561,166,365,658,442,223,283,087,832,755,987,198,667,
763,365,018,010,909,471,396,587,187,963,158,902,091,095,152,999,154,201,090,
074,985,110,011,978,841,200,907,232,180,734,388,846,078,437,884,349,159,842,
216,095,802,638,853,007,827,712,524,680,610,180,394,837,263,497,047,800,876,
242,251,596,455,107,298,672,193,765,341,158,538,531,333,544,028,137,977,731,
274,206,496,039,052,971,929,253,598,448,065,401,444,673,910,065,749,733,722,
255,092,500,228,714,768,203,037,646,388,510,434,335,784,954,547,374,633,208,
319,274,996,898,489,818,456,561,217,645,052,926,529,006,515,362,342,548,953,
777,188,015,791,428,924,250,952,308,616,066,420,991,777,756,226,086,985,824,
569,079,484,286,566,210,529,929,793,660,217,189,249,929,666,015,354,444,402,
598,705,184,675,893,769,630,793,486,406,455,256,622,767,912,943,761,209,242,
824,631,315,288,584,588,670,654,470,372,218,603,039,510,153,563,597,741,330,
568,249,482,049,291,116,263,264,790,257,389,329,876,329,331,170,777,721,642,
811,495,089,363,252,991,732,134,070,264,431,105,059,888,087,673,008,370,924,
983,191,562,289,354,521,062,509,679,838,684,905,421,909,691,943,049,214,139,
040,566,059,521,818,882,440,033,282,977,315,139,165,482,342,014,482,730,408,
191,203,563,731,429,478,144,334,435,837,523,543,994,844,369,991,166,667,938,
584,919,317,549,807,645,116,467,915,018,709,922,404,196,381,548,211,728,211,
537,125,069,219,153,045,231,016,493,105,310,889,446,692,220,927,959,646,209,
555,542,404,075,495,150,720,883,077,241,351,543,644,207,542,599,703,711,651,
879,327,393,034,703,330,014,958,903,365,810,361,651,423,928,426,867,359,313,
418,643,077,230,519,999,862,719,811,751,984,138,956,307,265,070,001,875,380,
877,456,505,108,017,075,063,329,871,176,309,256,605,733,265,244,342,671,009,
534,516,630,731,235,805,054,161,692,316,506,189,815,057,427,246,640,913,667,
686,520,557,893,431,090,838,343,261,194,833,017,302,413,542,378,178,554,761,
601,758,208,855,464,642,810,323,490,471,412,954,851,788,424,470,494,826,549,
073,232,172,986,737,867,561,626,829,491,885,153,904,018,326,934,329,303,553,
435,680,686,038,090,024,625,946,258,998,643,579,925,160,838,258,081,691,206,
794,875,732,085,616,254,428,087,180,097,070,081,454,386,278,677,699,997,772,
251,972,821,276,616,541,698,989,337,010,171,935,956,892,644,627,957,178,600,
402,366,051,905,032,940,179,422,188,962,610,506,398,286,797,342,107,116,523,
689,848,629,533,148,914,079,839,801,886,577,558,201,648,772,746,383,956,794,
154,146,699,516,517,526,849,690,464,611,188,752,698,974,031,125,581,539,861,
841,524,621,272,652,409,760,865,192,064,648,375,823,693,216,420,174,254,661,
986,314,030,693,148,051,253,877,722,771,230,866,385,931,265,976,223,035,403,
437,902,235,438,490,728,710,600,566,594,256,390,698,952,683,914,613,134,058,
428,638,185,515,102,368,313,705,181,808,815,922,915,381,147,312,869,389,276,
421,924,994,974,756,888,498,814,593,332,789,557,506,272,488,222,421,327,705,
679,987,960,921,953,081,534,638,187,217,447,593,633,379,557,820,696,464,797,
434,215,757,569,871,193,011,922,353,703,916,530,371,129,512,626,917,192,022,
727,590,356,648,917,576,575,767,986,363,353,800,304,839,377,193,126,995,283,
326,655,768,084,085,362,743,501,932,069,333,315,370,366,532,786,963,507,515,
825,990,089,935,492,812,923,453,354,462,968,551,514,440,172,020,810,389,773,
850,182,541,068,404,073,720,126,453,886,650,145,611,043,137,700,591,873,451,
852,591,921,726,269,962,328,582,394,266,244,121,043,395,451,003,429,514,943,
441,700,718,895,445,265,595,931,092,228,708,087,733,556,603,017,361,161,037,
675,436,529,725,090,660,882,054,456,186,341,932,865,935,382,191,258,158,428,
908,258,499,401,081,025,585,220,577,790,968,545,642,180,898,580,534,565,883,
181,058,176,802,498,356,397,110,436,916,536,017,650,434,735,086,362,915,564,
657,417,715,537,335,379,237,073,111,448,067,939,880,329,802,564,784,254,004,
336,656,982,088,454,100,564,840,845,626,420,257,511,671,871,131,638,630,763,
731,998,279,049,858,849,188,787,345,146,298,033,402,550,889,820,216,585,642,
034,163,823,900,295,452,129,851,247,491,981,770,368,969,217,174,086,157,889,
805,617,962,464,940,994,701,777,206,710,088,767,770,398,358,183,054,372,500,
665,949,523,726,665,404,749,004,990,045,492,631,415,279,711,063,525,002,371,
140,730,733,407,851,979,799,518,584,873,774,879,620,043,831,807,271,018,793,
666,325,114,438,905,746,622,661,025,380,328,374,180,285,862,892,261,549,495,
030,327,017,268,088,909,508,972,309,357,926,830,646,713,254,778,301,434,004,
927,728,827,990,791,279,442,657,723,360,390,758,209,443,560,259,008,658,033,
872,851,677,968,047,924,537,682,743,256,304,848,774,569,173,093,873,634,648,
074,836,340,448,103,858,134,829,946,292,596,878,442,512,362,887,807,704,742,
069,688,179,180,230,762,148,672,295,627,767,280,866,970,352,715,135,388,319,
241,564,385,800,445,661,929,349,002,971,209,582,169,153,378,730,678,972,759,
456,529,674,471,836,871,802,875,441,620,097,513,906,649,998,473,359,070,253,
150,426,674,012,592,382,515,188,535,227,574,399,206,507,860,027,128,863,061,
159,793,069,308,149,221,956,697,083,140,629,383,959,116,957,679,083,313,223,
409,499,024,635,389,221,726,308,805,182,093,288,828,052,410,874,950,831,243,
530,431,460,573,734,045,191,310,680,774,448,327,299,373,073,177,863,796,099,
581,184,525,886,776,081,495,945,819,687,006,460,540,324,259,736,180,831,287,
100,437,874,970,491,812,820,948,681,930,588,904,263,017,077,958,949,617,239,
688,366,248,384,865,136,450,030,894,210,538,651,882,225,310,766,918,129,061,
036,176,921,841,881,837,028,244,074,532,408,267,015,474,658,042,644,866,538,
204,529,748,567,991,899,279,449,865,733,796,185,128,773,098,484,200,652,680,
433,503,377,894,391,800,525,310,458,369,121,753,550,971,229,290,387,567,560,
801,523,195,272,527,326,868,321,428,076,769,539,052,897,527,709,773,838,476,
893,000,657,657,746,212,585,867,843,847,492,546,484,209,917,635,516,003,141,
008,326,148,619,817,986,674,536,273,856,014,417,613,042,309,229,657,981,767,
013,472,774,443,885,902,039,016,153,493,488,302,654,039,564,858,821,255,916,
671,995,621,331,360,175,316,253,637,951,919,266,696,729,221,725,063,138,903,
365,642,062,424,874,965,360,480,006,334,570,785,910,797,570,999,478,656,803,
327,401,641,523,124,369,482,444,553,448,513,261,182,750,037,773,896,837,712,
008,698,358,503,068,173,301,051,806,399,740,561,932,671,652,230,976,061,235,
517,719,660,965,072,086,736,592,398,034,215,539,290,182,432,361,589,934,246,
642,639,693,295,143,489,878,448,277,098,475,729,044,055,292,667,929,330,648,
864,797,871,532,748,356,385,491,112,759,600,945,451,415,301,800,631,474,076,
609,845,464,926,561,074,272,391,029,157,135,267,058,317,858,663,576,736,342,
544,328,539,358,229,400,331,092,546,792,074,423,698,008,141,320,933,205,743,
455,058,508,253,252,515,803,570,940,241,665,033,704,413,896,450,042,316,461,
770,294,367,833,460,499,074,574,712,049,363,847,727,639,393,803,538,246,602,
611,287,597,861,513,503,894,579,699,906,245,654,355,818,212,762,023,881,367,
365,015,088,977,731,214,077,024,073,595,897,491,018,845,940,690,739,647,009,
371,831,167,630,564,484,460,713,527,003,442,616,072,758,347,545,920,286,874,
315,332,331,628,747,151,390,619,051,196,568,481,511,931,076,560,698,224,458,
709,840,832,486,757,856,555,477,403,771,418,460,008,543,439,510,858,455,534,
040,891,389,303,851,428,757,784,085,750,953,223,739,765,380,178,348,586,450,
966,280,868,440,496,350,482,284,694,118,453,092,296,395,883,144,049,243,625,
888,967,089,763,866,392,775,901,120,946,000,402,827,768,378,115,151,620,407,
749,880,344,617,263,588,458,211,153,853,952,873,872,159,533,426,705,509,086,
850,464,363,711,675,063,364,289,023,146,436,207,917,557,237,312,137,175,517,
067,262,801,241,955,917,700,569,902,747,727,862,538,406,218,514,155,213,991,
918,331,295,912,240,494,385,271,081,685,640,542,456,536,454,842,596,630,915,
284,138,407,321,227,939,896,053,339,331,513,150,864,854,581,733,512,809,765,
514,213,201,062,663,844,530,203,996,287,709,751,818,864,228,514,708,225,271,
173,770,582,188,608,648,549,325,992,626,883,226,565,240,986,935,563,630,748,
360,957,754,172,881,715,792,776,309,322,351,440,496,731,212,369,701,024,319,
312,184,738,555,352,256,615,540,579,723,785,069,217,318,353,239,151,478,718,
719,950,248,236,944,008,810,391,407,358,034,422,399,880,706,467,164,746,796,
582,622,852,606,237,047,202,634,862,260,989,067,676,622,443,799,900,953,501,
388,066,533,452,848,815,904,530,661,799,441,204,021,948,345,784,206,188,007,
631,511,471,232,166,039,906,151,970,787,095,748,503,409,080,074,050,708,588,
109,504,594,189,637,834,348,633,698,178,656,751,335,678,484,902,575,841,078,
063,030,910,251,589,502,105,677,149,740,604,525,097,964,527,051,429,297,633,
299,194,379,732,266,928,777,116,555,972,893,214,502,055,895,303,086,753,390,
417,113,799,934,223,302,692,388,594,861,036,124,150,437,105,598,689,594,245,
487,820,639,111,094,117,530,966,169,685,968,740,041,950,159,709,194,210,559,
284,228,946,530,915,957,242,474,394,760,549,958,750,439,710,074,721,386,660,
978,899,469,532,638,179,583,213,103,769,138,680,033,817,676,495,604,220,913,
067,898,836,963,541,348,658,759,783,767,451,442,240,262,912,390,848,424,496,
412,877,461,901,386,306,893,835,704,638,837,254,219,865,890,709,877,810,096,
970,514,313,228,682,572,597,243,824,982,044,068,450,871,680,398,797,082,968,
370,093,920,758,242,788,889,539,938,910,930,485,797,263,804,456,313,851,620,
223,044,098,980,491,122,198,633,456,924,243,759,042,949,673,955,316,136,049,
332,944,192,850,780,459,045,071,914,976,097,412,919,501,943,371,236,573,196,
214,692,972,089,767,038,168,326,363,073,920,615,596,329,709,256,622,321,075,
520,297,978,572,197,826,895,715,578,887,632,888,492,802,016,413,625,983,883,
309,794,935,175,268,951,283,266,560,480,542,078,051,808,757,140,689,598,750,
086,317,074,712,974,591,784,819,575,895,667,778,496,931,450,067,060,501,699,
062,049,581,692,966,267,802,789,955,210,740,407,076,559,340,444,482,949,484,
696,907,859,092,345,224,048,056,077,107,396,386,159,393,496,059,740,542,573,
333,651,620,983,536,809,062,733,023,080,906,783,117,283,020,198,530,910,755,
405,208,043,153,514,302,544,962,774,154,914,621,804,151,487,970,923,324,275,
833,081,151,215,832,339,513,217,620,771,163,093,172,480,840,053,239,775,557,
043,012,763,851,474,858,246,575,085,751,293,306,771,376,637,280,224,459,366,
564,253,346,270,752,752,987,744,488,901,586,866,869,356,206,656,372,483,597,
285,709,707,929,368,086,941,712,821,465,520,286,723,478,546,526,817,231,777,
491,333,457,582,905,628,279,364,259,438,863,567,284,857,855,041,388,543,236,
910,521,349,858,427,336,377,946,990,248,556,463,743,388,730,727,104,993,337,
562,216,689,874,316,270,456,750,938,322,775,670,852,403,522,901,977,291,381,
810,963,515,626,569,615,074,422,013,233,405,173,933,031,849,179,309,653,776,
486,487,662,052,391,690,370,288,426,890,094,482,371,201,944,541,322,139,274,
486,328,829,109,256,147,102,165,154,731,610,596,954,602,713,996,330,204,465,
438,044,063,217,603,420,313,015,759,121,556,085,212,839,423,448,610,494,937,
929,644,976,181,610,840,218,200,978,650,966,981,976,107,941,336,465,551,442,
949,742,933,799,141,009,810,992,961,961,396,427,661,162,728,241,159,334,526,
150,089,200,437,775,159,213,082,030,225,315,952,633,865,023,442,702,819,597,
492,998,086,778,477,371,523,723,923,593,414,344,751,066,299,743,835,035,358,
276,061,714,430,790,255,468,946,506,367,380,591,918,708,941,789,275,778,197,
563,340,193,123,351,453,077,587,620,542,036,980,164,814,581,944,529,516,948,
735,239,876,035,963,067,640,695,242,619,623,391,990,917,744,973,183,924,935,
255,312,943,156,405,968,349,596,426,372,845,369,255,771,807,719,600,861,786,
738,390,054,258,734,230,710,738,021,276,937,911,489,427,119,376,974,364,288,
580,912,563,473,372,450,759,008,856,735,367,851,642,244,043,596,397,331,627,
495,786,571,309,911,398,304,324,420,910,093,761,159,461,772,220,524,672,641,
290,560,823,568,364,708,834,093,059,650,629,503,462,602,154,991,650,587,275,
480,654,072,964,968,198,679,954,550,339,661,931,695,586,996,062,850,811,330,
779,345,494,911,704,495,772,335,086,322,354,797,024,459,590,046,476,139,008,
545,362,279,123,538,539,515,938,799,426,624,482,163,885,533,908,816,170,624,
943,043,566,184,801,179,879,698,286,931,388,317,146,168,776,387,694,887,404,
584,933,861,726,087,483,322,270,105,978,993,118,340,054,269,404,811,238,710,
341,730,522,117,898,834,990,781,894,108,710,273,971,026,046,871,704,804,418,
695,188,562,441,292,768,546,683,187,147,973,322,450,463,760,882,937,684,363,
863,538,386,051,154,252,236,196,955,135,380,622,486,247,476,675,796,701,183,
057,973,759,197,717,814,342,089,087,301,783,116,740,891,050,394,172,706,120,
174,587,699,205,044,334,408,991,166,641,750,662,734,576,405,499,699,970,389,
049,664,353,302,676,967,380,359,323,036,561,805,455,955,709,756,093,054,750,
829,383,067,679,391,668,638,692,315,412,805,338,289,946,991,497,626,217,754,
415,157,315,950,610,702,157,670,051,060,458,311,514,159,758,779,777,600,951,
086,011,488,388,423,803,739,086,983,031,080,616,594,511,133,389,086,691,310,
041,339,352,316,198,572,058,812,719,340,052,228,705,683,011,560,210,820,849,
933,781,329,131,347,492,135,252,987,513,637,537,111,348,172,323,138,241,043,
980,891,555,921,925,507,258,935,750,032,146,674,469,137,158,719,905,088,649,
171,368,669,282,947,362,023,570,929,361,213,497,971,146,200,290,946,988,175,
296,944,696,257,829,701,795,330,263,673,293,536,300,965,178,072,580,303,389,
883,188,347,474,682,014,242,385,502,675,888,777,908,384,944,890,102,454,567,
234,691,508,050,086,573,270,597,157,429,293,445,650,650,882,964,945,217,734,
669,500,453,731,602,771,220,013,494,318,705,444,604,429,441,786,632,072,173,
466,875,958,472,700,363,491,966,903,916,978,355,694,651,131,754,004,466,910,
532,671,594,732,613,927,641,389,934,353,437,765,611,088,131,139,875,114,859,
063,686,064,183,796,996,028,358,320,275,387,562,468,124,972,358,229,563,076,
783,120,576,662,150,350,145,338,701,944,745,291,694,936,163,394,436,860,425,
254,459,921,187,875,892,948,309,012,699,379,477,657,148,848,304,381,957,023,
936,733,897,256,781,397,335,523,381,958,638,107,026,775,780,607,029,495,972,
709,122,262,451,321,958,251,396,817,403,581,560,488,382,156,319,060,860,682,
188,034,785,454,120,836,265,943,096,041,936,038,711,151,761,910,737,702,439,
445,963,673,288,335,238,789,819,227,499,581,946,755,029,199,295,610,915,681,
372,999,811,860,466,799,484,770,118,325,870,941,637,537,912,747,313,626,998,
461,361,470,267,776,757,808,902,491,835,512,458,941,193,815,151,688,433,984,
757,984,710,410,365,682,052,996,790,199,786,925,040,019,663,841,100,600,968,
523,630,255,672,601,713,030,146,138,294,346,840,188,801,691,295,121,658,757,
716,552,785,772,030,259,609,558,420,230,316,867,306,841,143,806,314,849,629,
780,659,758,630,142,805,099,730,226,113,880,108,881,995,608,709,530,539,181,
591,006,633,584,721,006,446,996,023,477,431,481,898,929,162,397,012,859,809,
295,974,486,722,376,331,522,673,880,529,725,351,471,870,851,188,514,501,610,
511,520,597,399,419,010,075,699,083,875,747,765,604,369,417,183,846,904,303,
644,193,891,729,300,098,496,028,451,850,430,911,485,894,382,284,047,666,131,
657,782,663,697,694,044,824,416,624,932,406,517,813,546,993,481,822,216,367,
924,514,165,604,669,941,742,838,749,461,754,462,644,776,748,547,265,564,237,
950,075,566,719,859,908,577,040,016,470,083,562,365,037,923,388,990,768,998,
259,984,083,159,967,779,194,101,007,378,564,750,390,222,473,017,676,486,584,
939,187,009,264,909,979,229,223,925,864,276,641,269,568,878,800,814,101,797,
765,166,220,026,646,137,381,611,080,024,113,379,995,345,078,650,581,663,463,
582,854,852,101,178,547,820,663,531,624,474,218,662,360,377,134,612,454,016,
617,807,111,368,800,925,929,524,606,959,795,579,322,195,375,495,538,298,822,
988,478,982,396,637,077,750,448,774,792,601,080,663,605,043,746,408,627,755,
514,235,486,472,171,139,145,818,054,509,739,895,523,413,204,031,793,411,383,
221,087,374,612,947,395,994,050,070,472,657,196,823,669,992,169,561,683,131,
795,706,412,435,472,671,175,154,000,186,738,381,795,471,639,712,721,676,676,
666,600,146,584,752,171,902,435,980,174,070,399,240,416,814,873,091,173,155,
898,116,265,610,395,468,709,261,603,671,794,343,737,595,521,241,235,359,130,
722,617,577,931,687,948,329,558,329,660,465,559,958,914,321,802,475,890,692,
179,306,031,578,056,885,732,049,040,224,836,478,314,400,060,015,465,032,550,
567,332,788,646,498,223,852,499,621,996,655,684,629,693,876,832,114,037,735,
915,288,515,682,197,979,485,494,181,528,904,285,516,008,873,826,912,706,805,
110,488,766,739,436,950,584,014,734,715,577,509,622,289,081,613,161,226,844,
349,320,583,535,785,586,493,028,635,335,155,115,366,747,432,384,897,773,154,
596,545,313,306,405,521,188,372,924,613,214,518,321,268,986,477,047,175,822,
403,278,186,791,217,550,543,151,809,847,276,779,339,167,047,499,037,460,173,
710,911,457,234,864,628,991,368,749,579,092,891,254,568,822,457,885,166,212,
124,731,805,570,557,529,777,853,276,761,926,129,127,216,593,074,801,445,985,
219,330,608,970,174,140,159,397,113,242,246,829,272,953,772,084,713,337,764,
749,075,886,893,357,451,820,719,221,912,901,616,166,065,045,018,176,162,007,
314,160,324,081,979,732,805,302,028,704,805,882,023,758,930,759,267,183,094,
507,413,394,004,839,342,240,267,180,897,291,252,499,607,541,429,472,168,145,
777,898,351,478,932,301,018,316,135,738,770,544,676,722,041,946,317,093,113,
219,567,211,978,643,540,488,643,329,089,994,326,308,027,919,249,185,392,389,
558,393,859,577,762,169,997,804,375,740,144,193,179,274,440,561,613,783,121,
824,185,568,567,697,689,114,487,841,421,956,785,256,108,686,923,387,096,170,
570,632,372,628,121,796,890,463,051,657,193,477,935,465,358,107,381,204,449,
736,709,547,376,480,178,360,028,746,130,896,476,186,554,627,753,301,262,928,
741,410,287,177,377,181,284,166,160,505,241,129,493,710,898,420,199,141,309,
109,667,692,927,509,942,324,622,037,363,039,383,366,867,232,733,888,543,304,
860,594,756,557,435,253,948,106,506,557,101,567,096,813,903,122,760,331,779,
438,093,297,412,970,687,821,671,958,107,572,339,694,376,162,282,030,386,040,
189,428,691,720,582,726,381,795,058,287,107,864,961,981,212,672,193,912,149,
232,167,144,458,390,022,581,610,171,526,562,280,136,928,525,753,483,336,230,
579,720,211,269,262,734,814,821,138,303,063,551,816,343,477,245,293,609,007,
625,565,653,487,223,903,431,284,718,142,720,830,180,747,186,099,299,942,765,
855,246,847,361,384,422,832,106,425,033,783,527,259,631,621,307,319,979,820,
031,418,949,148,879,374,147,390,024,238,371,991,708,387,682,048,957,260,727,
587,767,708,330,115,520,785,931,139,871,588,994,260,822,859,676,391,619,027,
318,076,505,124,967,712,656,791,566,045,103,065,099,106,672,252,434,166,693,
601,302,289,365,051,852,363,163,982,271,085,238,236,368,622,116,680,775,404,
326,664,871,877,966,141,638,237,982,969,792,429,239,246,976,711,220,390,505,
062,305,226,450,698,265,666,376,204,345,355,127,639,468,295,809,524,947,243,
605,535,779,251,371,029,540,496,277,881,624,185,727,825,456,319,539,529,053,
574,597,852,819,841,335,972,052,197,505,672,339,893,451,056,858,710,454,424,
514,519,055,345,367,501,370,701,111,344,766,678,530,905,619,224,590,763,176,
094,893,833,139,569,808,270,634,008,253,981,757,953,414,694,526,608,164,938,
898,284,051,806,629,137,233,633,586,727,079,073,636,935,006,230,672,072,363,
580,949,231,214,337,449,436,434,273,364,121,882,222,767,967,178,904,300,551,
863,790,755,572,815,772,470,843,684,382,824,425,110,032,159,624,878,285,903,
137,019,106,279,562,447,909,817,167,394,888,048,766,650,127,485,889,522,971,
826,071,203,190,669,034,353,167,516,572,985,798,803,358,698,677,001,362,124,
202,028,018,219,662,895,397,181,381,353,287,255,044,219,444,917,221,724,098,
966,632,305,711,609,524,948,977,442,977,822,936,124,902,045,833,721,266,368,
760,113,498,786,856,021,448,089,369,955,597,611,473,932,474,309,879,954,844,
829,875,131,375,208,142,353,048,410,171,189,826,653,902,399,442,722,045,686,
690,347,071,661,850,436,683,073,459,257,969,089,519,678,364,476,940,725,434,
538,027,702,218,044,953,286,110,701,548,558,583,913,256,252,235,821,779,473,
253,683,766,736,003,090,563,262,627,314,008,665,842,107,515,064,411,144,104,
964,500,840,835,850,971,467,736,957,039,201,615,092,233,152,370,238,304,776,
276,286,282,520,631,191,837,488,934,826,894,027,974,622,368,163,993,336,709,
448,809,415,745,607,771,375,215,680,912,556,368,113,607,182,013,537,475,408,
617,440,879,967,370,622,258,912,637,194,243,149,008,727,396,400,704,122,749,
820,067,431,302,484,125,904,290,621,860,323,075,697,539,805,882,089,278,692,
115,824,912,940,448,649,660,352,735,182,365,387,638,553,288,956,909,686,239,
583,634,667,849,744,804,081,546,094,960,611,996,361,674,238,986,555,804,149,
748,046,460,617,076,158,668,249,098,883,033,891,657,950,966,157,399,845,485,
170,525,580,454,418,492,944,665,462,454,936,621,985,727,488,713,074,242,835,
790,111,578,151,402,072,798,455,615,324,942,898,626,628,177,187,773,526,153,
704,055,606,778,970,506,118,349,748,158,253,886,647,349,632,621,819,820,803,
886,942,104,412,182,883,176,007,471,832,287,620,955,987,666,484,164,294,661,
041,640,261,678,292,786,664,290,473,153,173,916,557,775,721,528,724,233,925,
349,330,635,804,439,341,553,702,053,547,144,625,991,484,798,501,405,862,461,
360,861,527,725,387,970,318,804,970,288,486,726,259,525,401,757,494,684,712,
544,179,613,183,388,689,448,726,719,714,199,595,937,097,336,854,495,869,858,
044,262,019,185,379,308,877,079,938,396,183,316,981,802,658,929,414,241,320,
425,838,507,518,438,466,439,367,949,210,091,608,247,899,605,882,900,830,924,
080,456,890,995,221,159,065,410,850,900,316,419,845,812,771,331,084,220,129,
040,783,003,237,813,831,962,282,273,025,625,030,215,770,553,024,917,001,417,
062,942,563,269,916,080,166,141,504,972,757,366,401,785,933,356,479,864,243,
972,941,003,704,232,591,358,488,101,584,630,149,018,264,117,950,005,407,892,
914,227,786,908,422,176,861,622,213,627,073,110,066,795,295,176,645,817,511,
399,759,595,381,385,465,018,837,720,846,857,417,042,163,666,432,029,355,375,
525,268,746,134,325,024,719,510,648,978,102,410,102,735,781,841,278,044,243,
139,122,428,087,667,242,864,762,088,932,503,383,502,478,391,594,337,260,146,
619,368,366,256,212,675,206,613,382,614,486,610,991,413,380,140,311,988,047,
106,541,031,654,052,841,395,270,357,313,922,095,552,079,447,198,673,697,581,
555,687,828,492,469,787,061,249,935,370,835,979,431,317,507,876,757,961,105,
623,349,352,019,446,553,224,060,882,494,361,104,182,915,461,910,044,790,228,
523,021,644,341,366,657,442,383,114,336,274,467,552,290,818,444,130,242,297,
427,576,761,764,365,337,942,618,386,846,530,893,331,900,724,197,621,288,082,
316,322,739,041,287,451,665,049,992,949,207,025,386,607,597,939,391,772,293,
310,122,121,643,677,032,616,508,135,541,250,147,410,871,511,196,877,502,372,
312,650,103,807,590,128,137,886,976,316,879,692,721,267,767,876,398,039,564,
221,916,762,902,289,631,062,880,061,723,122,353,412,361,038,849,453,605,829,
129,472,252,945,932,562,095,442,978,907,644,553,948,949,474,058,755,729,209,
069,944,811,324,196,227,055,511,634,015,054,894,192,606,191,707,790,466,995,
204,238,471,429,905,394,213,932,931,370,370,964,733,751,101,047,580,474,599,
405,077,133,939,260,048,002,047,895,604,610,986,978,051,342,537,578,881,127,
067,770,311,383,253,253,755,484,303,790,693,133,871,832,801,509,028,488,207,
291,672,095,173,790,757,390,337,934,008,265,643,159,567,106,909,232,989,093,
530,302,901,706,325,646,970,161,256,181,363,890,121,927,911,571,816,160,816,
033,523,831,810,811,182,903,348,583,530,577,343,037,136,263,242,840,785,420,
867,664,965,242,371,690,341,045,500,536,939,777,065,447,554,971,660,362,745,
036,497,244,233,942,793,142,239,537,109,557,275,152,900,644,774,617,443,948,
462,883,044,835,180,072,032,332,858,086,317,374,394,958,056,778,110,075,707,
365,599,178,643,036,619,799,613,221,243,493,351,775,174,113,262,739,137,542,
106,002,529,057,471,777,767,458,358,306,218,314,243,557,116,168,039,852,422,
822,245,440,428,236,679,759,571,237,156,197,142,381,443,067,702,899,312,082,
193,797,251,536,408,288,765,951,504,212,354,533,954,399,894,384,175,518,304,
369,700,709,922,767,667,550,051,052,292,506,529,452,477,511,117,467,718,923,
448,260,116,714,984,424,387,799,006,304,723,042,683,378,381,035,997,537,597,
494,153,288,516,060,153,015,685,160,659,097,903,549,617,093,792,323,113,642,
595,175,416,116,108,768,086,622,808,970,638,098,858,831,323,418,175,349,341,
790,248,094,309,874,755,093,366,382,889,069,400,930,336,368,080,820,559,940,
612,682,604,392,037,841,028,039,399,127,852,993,566,121,559,286,275,957,931,
041,667,755,183,211,335,566,368,919,365,116,575,059,044,061,915,919,457,780,
383,269,292,923,023,412,807,557,128,507,864,115,643,298,197,654,362,816,451,
005,471,147,310,648,354,524,999,371,104,765,702,640,450,834,513,477,037,963,
932,145,473,411,386,409,948,590,211,986,323,206,338,070,669,151,643,583,989,
460,800,637,914,911,127,420,366,714,185,324,954,253,616,065,707,612,394,316,
082,562,904,298,226,816,711,351,259,012,088,415,670,093,307,735,929,275,564,
720,232,610,919,095,429,390,522,871,682,692,703,651,919,930,665,053,132,328,
490,035,448,051,199,780,593,717,672,417,150,841,528,614,654,300,554,068,348,
517,413,069,047,162,829,300,184,763,656,070,233,364,010,806,457,389,883,868,
218,325,646,917,204,058,782,100,958,768,497,591,703,450,850,721,073,166,972,
390,873,575,158,911,893,795,226,753,395,557,870,089,754,666,351,837,679,905,
468,807,821,088,623,448,984,972,268,444,530,889,587,021,814,814,608,671,169,
720,360,771,863,270,656,603,547,346,975,721,541,132,536,837,988,269,860,606,
664,103,193,229,508,602,071,333,400,509,440,962,855,045,519,895,270,260,061,
676,064,821,147,591,262,650,738,827,309,239,200,021,170,823,946,635,025,019,
415,269,683,086,288,224,404,039,444,836,291,879,736,181,347,338,378,556,045,
262,780,601,192,709,616,830,190,766,238,324,090,557,745,663,031,205,516,063,
010,215,005,353,675,545,086,072,764,045,294,156,615,012,756,370,643,453,288,
481,703,083,219,981,687,307,902,200,047,599,909,244,648,450,963,971,455,322,
139,410,627,974,874,234,404,468,328,507,268,862,198,427,369,514,148,464,427,
643,860,131,551,332,647,219,243,958,179,566,430,421,639,731,898,734,417,420,
140,466,469,905,560,962,809,158,876,768,854,262,984,804,289,795,057,028,196,
228,338,947,818,287,038,193,242,320,651,893,713,812,609,287,404,261,583,068,
694,932,474,181,747,572,085,769,381,304,979,873,538,795,385,115,580,460,424,
038,273,790,276,053,299,530,574,071,278,024,126,018,168,397,429,325,557,627,
556,906,570,335,086,476,350,472,517,186,586,155,240,600,320,709,965,472,160,
350,623,286,904,063,092,272,576,895,709,025,900,284,992,495,847,725,191,351,
773,750,726,507,479,603,571,360,736,932,485,856,843,760,904,710,767,920,140,
400,114,964,600,619,703,247,344,169,102,224,409,258,397,596,763,571,417,959,
260,544,485,166,622,268,604,302,821,965,281,117,230,031,421,927,201,606,636,
689,122,313,826,551,662,708,388,302,486,570,878,774,378,951,037,136,756,622,
317,234,568,374,457,454,747,095,927,276,063,112,897,904,973,171,657,731,293,
946,522,348,185,904,995,384,917,985,682,288,791,694,669,114,109,476,346,926,
338,737,293,358,936,259,138,608,478,862,507,652,832,172,569,982,054,034,220,
097,059,758,269,459,857,237,716,213,526,316,165,403,299,652,216,158,380,882,
972,424,880,023,771,780,631,826,578,079,927,508,575,775,002,119,253,458,374,
200,922,709,007,841,569,055,431,923,176,962,393,538,859,964,983,281,941,375,
244,713,839,420,624,600,272,848,412,585,847,685,803,959,654,561,612,504,685,
193,205,009,589,949,702,669,881,118,687,258,121,829,488,926,745,004,039,730,
746,428,609,198,956,298,490,139,901,255,481,644,678,021,943,426,198,838,480,
009,912,776,252,424,265,818,337,632,606,630,571,370,751,581,365,842,744,307,
935,240,462,397,559,465,028,190,081,264,125,409,322,186,267,533,025,837,297,
014,706,991,543,286,940,364,250,314,327,254,468,814,797,288,834,142,268,457,
827,193,304,035,450,148,582,334,449,820,427,138,696,973,561,627,361,380,169,
898,142,626,669,733,714,213,027,323,601,548,942,880,790,694,132,955,282,754,
277,401,963,142,038,777,155,245,299,087,990,012,627,121,774,263,598,573,249,
822,015,414,502,404,830,968,648,022,650,100,925,182,509,347,563,660,161,907,
296,074,686,763,418,049,091,015,069,571,312,432,111,317,641,327,196,347,512,
205,166,971,530,501,212,442,380,090,085,106,988,756,209,897,406,864,549,097,
952,688,455,980,816,989,608,294,507,320,888,992,275,746,454,609,674,957,694,
029,527,550,698,482,767,138,979,908,610,428,438,042,768,394,969,853,973,276,
800,184,686,156,571,589,620,909,189,524,434,839,740,337,425,890,150,076,879,
849,712,070,992,618,854,406,927,099,907,827,698,273,080,888,014,930,743,971,
869,564,535,787,976,959,640,839,892,352,999,860,599,541,288,494,435,007,846,
631,528,731,509,697,782,192,873,546,370,489,005,514,780,317,081,723,203,427,
781,697,847,584,880,582,069,318,757,064,013,138,508,271,049,207,481,335,324,
424,867,707,404,654,101,303,819,345,275,694,627,347,000,126,817,835,985,223,
400,991,637,166,398,130,147,020,433,410,035,939,451,659,368,053,641,005,335,
917,402,324,716,357,376,737,073,112,058,827,946,928,174,429,927,887,333,698,
257,350,429,063,482,382,855,531,275,963,265,995,243,750,283,522,165,279,094,
109,266,141,270,676,050,378,926,245,842,660,891,235,257,645,930,264,871,444,
634,220,579,416,577,686,669,445,034,783,558,594,088,372,362,507,714,596,456,
303,220,117,749,172,638,248,261,349,368,842,599,288,014,254,328,523,456,749,
576,138,557,172,185,135,253,680,196,621,409,749,146,383,422,136,069,272,504,
372,834,234,374,751,902,222,507,188,995,578,647,331,694,187,676,585,100,180,
560,691,234,861,359,882,257,301,142,989,542,915,715,447,946,171,656,646,872,
344,160,326,994,910,503,059,833,349,712,244,773,860,456,343,957,976,355,962,
109,588,724,100,236,159,039,659,925,722,582,441,104,689,590,079,739,314,563,
920,756,353,025,016,931,790,768,239,360,156,075,564,533,759,671,227,643,987,
320,456,940,588,565,556,311,901,947,682,306,958,262,075,871,643,316,537,017,
457,099,739,790,404,607,772,685,319,432,750,681,002,691,155,712,657,276,077,
780,708,597,972,287,520,064,906,250,577,830,916,994,253,789,465,996,148,917,
333,904,867,821,332,113,147,944,921,384,803,485,029,839,348,498,130,610,441,
339,189,739,631,797,629,532,923,597,529,282,045,973,391,792,329,635,593,500,
620,815,282,677,844,469,514,602,526,829,317,567,348,367,247,877,501,594,619,
708,059,232,685,106,079,825,903,908,196,260,982,205,384,300,776,333,453,530,
271,493,058,718,323,399,851,605,220,616,004,103,669,445,416,642,271,236,302,
690,782,563,100,265,981,123,053,101,727,063,917,108,231,810,166,857,951,438,
914,983,142,600,070,877,075,023,450,242,136,317,785,042,839,763,057,253,523,
778,425,660,296,217,973,069,538,212,674,429,525,649,403,064,253,383,903,691,
946,467,848,794,505,925,857,783,801,369,440,140,743,839,835,835,911,639,375,
627,445,525,001,772,784,629,336,672,029,922,696,841,179,396,976,762,148,533,
453,007,610,088,785,674,149,040,716,861,296,359,688,580,017,174,403,302,408,
877,204,654,096,648,577,852,287,715,239,162,645,267,804,573,923,144,582,063,
407,492,119,931,998,120,540,703,967,768,654,007,118,804,925,905,051,449,081,
354,294,478,510,378,179,436,763,057,600,035,519,410,646,936,432,287,570,243,
330,665,056,620,455,634,233,576,659,755,120,117,276,998,312,279,442,490,521,
715,068,759,741,672,469,370,623,471,443,327,296,110,961,007,495,704,724,641,
001,100,862,607,824,900,800,946,735,012,607,199,054,886,985,986,964,459,583,
898,373,823,841,363,218,305,689,262,855,989,037,740,198,871,404,506,532,999,
722,035,724,469,730,062,150,962,333,468,047,050,508,140,212,572,560,979,783,
517,851,694,648,282,935,731,993,372,356,046,732,281,686,216,608,680,423,963,
420,235,740,852,188,445,882,403,177,372,759,309,578,685,240,018,317,952,186,
603,363,487,140,045,123,947,622,419,223,727,167,471,209,795,602,203,066,313,
537,299,440,648,781,707,940,491,283,551,188,103,090,690,876,645,391,435,348,
352,252,259,536,065,692,295,401,908,966,478,827,619,947,482,637,963,017,390,
716,348,182,369,132,370,643,210,762,803,651,675,648,174,596,672,766,999,943,
869,541,572,752,691,965,972,763,397,976,662,317,994,350,977,748,107,987,139,
482,390,233,726,457,382,908,186,257,464,192,591,583,661,004,020,675,261,875,
432,029,372,707,583,402,938,065,965,274,698,989,149,637,717,549,119,976,793,
464,381,654,498,630,120,443,335,294,113,395,103,537,515,252,923,500,607,540,
689,496,710,695,535,816,567,126,820,211,299,010,715,606,722,104,624,082,207,
970,011,764,803,686,505,974,419,414,099,450,089,646,983,717,220,639,679,309,
784,244,597,622,491,456,348,932,468,920,074,402,217,354,525,834,317,592,989,
344,610,972,429,555,373,803,517,410,732,122,802,477,254,695,524,213,625,700,
652,280,076,740,261,049,682,935,541,741,915,788,858,761,258,800,472,881,362,
189,116,890,235,229,226,841,614,414,874,125,782,385,419,109,277,422,911,918,
327,634,801,819,978,388,961,538,540,799,728,170,268,256,115,244,812,789,464,
023,754,973,143,830,351,703,887,663,215,739,139,112,203,771,942,280,021,182,
375,969,507,270,888,054,451,376,084,242,404,401,856,479,471,259,648,289,289,
982,036,860,233,585,490,335,842,278,721,341,112,238,126,086,607,180,857,881,
988,577,251,043,363,260,178,240,667,657,324,903,625,562,665,569,321,171,616,
813,695,548,648,638,498,816,527,363,017,970,425,988,363,983,961,939,090,245,
799,196,473,206,964,399,164,956,611,075,029,852,870,495,326,261,926,452,454,
591,587,282,025,890,722,083,357,046,554,826,695,378,701,094,684,419,048,728,
525,432,553,993,537,105,027,119,448,369,044,245,466,092,626,731,968,233,255,
651,819,619,796,665,330,978,973,559,470,816,326,414,918,659,539,389,706,203,
090,097,802,085,561,487,144,328,026,383,409,597,987,411,782,114,958,283,262,
230,736,122,537,049,079,089,936,992,934,069,926,380,265,110,724,746,282,032,
611,994,706,231,961,566,348,872,385,298,774,144,094,330,749,702,275,150,759,
318,391,462,477,628,868,666,669,747,483,937,733,340,749,285,613,463,179,440,
998,665,525,423,447,967,894,424,114,642,256,303,606,444,609,682,674,706,063,
580,869,582,712,915,947,858,862,620,716,192,975,330,999,861,553,376,684,766,
610,384,929,184,488,053,162,053,579,154,530,838,405,780,898,827,829,440,624,
564,591,061,476,757,238,300,008,787,656,938,654,841,540,133,752,368,780,537,
472,017,093,887,198,339,826,849,214,572,037,071,752,349,783,196,293,373,770,
231,892,736,251,504,230,325,438,473,435,547,611,187,069,723,153,081,263,078,
171,707,814,783,141,747,520,604,977,882,373,110,792,661,966,818,108,337,156,
936,005,184,721,553,755,762,465,429,798,709,581,864,618,775,068,454,862,228,
419,685,741,388,349,366,230,394,947,281,447,839,609,708,766,937,303,473,456,
949,002,071,182,517,245,181,288,896,153,996,522,621,963,074,834,772,153,106,
534,916,680,067,772,268,246,019,898,261,280,294,078,466,803,491,515,784,566,
662,622,184,346,251,495,065,799,249,385,225,554,307,894,481,364,868,135,283,
465,175,818,591,518,195,523,217,794,515,615,547,240,303,915,170,407,331,035,
750,578,040,074,016,369,944,859,264,154,090,263,116,751,291,773,631,567,344,
333,002,043,923,822,352,088,794,629,654,634,085,092,212,389,995,250,190,081,
204,723,051,229,628,235,016,956,035,584,279,054,968,482,783,683,751,060,341,
434,410,967,989,666,653,295,153,023,161,317,231,767,643,735,001,228,251,566,
628,260,042,163,615,815,326,152,213,745,901,982,507,255,541,778,758,926,184,
848,665,795,452,788,779,351,033,616,401,961,918,035,484,284,630,036,159,209,
592,513,325,112,225,599,400,971,861,185,863,087,173,548,622,924,466,694,533,
226,855,085,673,357,350,314,353,530,737,436,278,040,914,423,933,306,633,522,
630,892,365,222,927,087,867,618,947,323,411,001,318,262,152,384,548,588,515,
616,234,857,699,975,867,737,402,292,844,993,380,421,628,208,898,646,195,564,
025,530,772,402,392,331,321,777,880,619,762,165,654,210,878,585,571,423,590,
253,239,726,237,412,513,195,039,093,317,494,490,998,092,123,169,255,051,714,
808,438,697,384,955,645,656,089,559,044,287,862,867,809,698,547,763,180,397,
899,740,242,112,486,792,093,497,227,144,212,931,692,437,879,936,568,560,418,
601,918,687,582,412,737,461,157,255,283,366,937,245,245,013,326,009,732,869,
279,999,298,662,963,413,514,603,207,859,487,722,904,530,733,719,415,265,209,
198,800,351,159,720,548,570,675,963,528,532,344,184,706,606,362,703,659,290,
285,267,220,672,360,470,777,107,867,616,302,692,277,774,963,773,343,727,929,
829,472,104,851,015,356,883,063,878,735,636,596,629,749,913,146,412,199,524,
032,300,089,965,409,188,396,090,175,123,785,509,046,482,824,908,518,006,960,
263,023,212,831,485,078,716,125,115,176,500,270,979,831,166,538,945,692,354,
481,531,772,905,994,017,884,208,713,873,361,805,235,213,289,097,000,279,936,
635,209,089,911,865,827,334,655,178,919,974,186,534,542,311,030,755,857,049,
332,494,559,604,667,547,153,478,995,373,070,817,183,266,642,853,054,252,308,
337,176,459,350,804,454,142,151,610,376,143,328,957,171,516,329,790,885,674,
195,954,163,462,559,128,413,239,081,764,904,966,126,619,026,168,114,102,837,
786,546,566,879,514,536,031,518,554,771,245,217,153,369,164,480,294,175,769,
618,515,803,294,772,824,486,192,850,588,080,360,336,284,875,757,563,435,598,
463,103,750,959,871,846,575,366,906,478,511,150,325,569,439,617,913,017,785,
633,277,610,223,117,315,955,968,250,939,624,016,326,846,364,437,649,227,811,
882,614,425,953,800,633,631,873,663,366,061,620,403,683,606,082,199,598,369,
491,196,324,854,520,092,370,819,005,135,000,515,179,613,462,457,998,952,903,
613,241,109,863,812,776,607,039,308,998,324,602,362,716,106,187,162,040,544,
649,880,218,340,315,494,705,106,264,366,008,183,851,223,568,832,110,917,102,
876,603,672,629,414,901,035,194,439,847,024,745,437,002,707,188,932,626,280,
098,272,411,094,409,200,924,738,825,979,187,139,778,026,668,310,867,370,940,
316,341,872,972,499,715,195,728,703,504,112,118,898,947,165,817,053,131,515,
584,061,512,966,698,544,843,344,180,751,268,099,751,404,980,048,092,210,286,
433,287,561,107,470,186,543,009,568,363,385,700,236,719,142,165,330,979,862,
422,796,141,668,048,370,924,659,362,275,366,663,311,791,813,950,670,958,010,
835,613,196,344,731,329,078,412,725,691,755,761,635,005,668,156,810,865,967,
402,469,451,806,990,496,964,190,340,120,496,512,663,245,597,045,144,162,392,
741,235,208,442,940,806,531,103,093,442,711,295,969,711,896,797,907,775,272,
043,492,837,581,596,364,178,649,754,041,520,792,662,287,307,626,305,333,497,
448,339,589,424,242,785,663,190,248,633,677,230,595,623,929,997,482,228,052,
335,576,024,568,296,289,310,033,017,686,411,687,230,394,901,714,801,984,694,
628,143,864,833,869,454,150,133,621,350,901,881,289,569,731,427,573,006,377,
519,125,871,195,787,578,871,046,266,842,524,695,702,830,940,392,928,481,295,
923,526,548,309,227,384,883,174,612,656,583,480,081,419,388,596,250,458,653,
868,421,511,741,273,961,808,520,806,053,488,613,997,244,528,295,798,251,323,
513,998,598,798,008,851,889,732,667,649,770,397,837,638,024,993,081,449,431,
043,673,485,781,416,721,246,490,754,309,992,973,329,674,446,289,045,289,650,
903,881,405,682,130,744,400,830,548,771,070,043,827,220,705,100,307,339,472,
778,969,835,277,499,845,846,230,137,958,383,470,589,045,188,902,768,379,518,
438,717,567,668,781,815,555,576,329,872,596,929,139,612,433,463,577,869,968,
817,932,106,208,338,234,838,977,623,315,011,761,740,635,969,436,218,828,967,
709,202,994,345,818,130,258,487,254,583,090,729,073,614,130,787,001,083,596,
875,990,827,043,634,208,971,624,377,027,257,799,851,790,426,067,181,632,783,
058,669,647,253,206,077,946,722,454,860,573,938,550,961,543,305,963,464,787,
832,248,678,858,318,708,464,611,373,734,795,487,101,251,710,097,940,322,289,
884,071,076,479,289,378,200,733,290,696,895,180,281,600,731,640,223,294,673,
135,430,824,241,232,140,665,454,006,542,580,271,480,009,216,171,533,586,231,
537,708,211,287,933,740,480,117,480,139,147,889,938,033,874,652,643,332,920,
048,970,867,372,874,041,925,486,460,055,091,898,932,779,870,963,327,250,014,
473,177,592,369,108,318,644,284,410,094,316,551,269,961,284,436,299,280,600,
260,994,032,297,272,746,918,918,783,781,290,792,742,997,090,105,414,327,364,
365,545,733,548,203,770,960,019,273,216,631,661,011,195,541,420,246,447,890,
877,209,348,568,123,702,014,783,330,805,864,287,798,155,079,778,881,159,478,
654,317,380,634,591,026,129,260,765,258,208,743,846,955,137,053,717,653,403,
496,002,679,192,513,763,467,914,507,565,850,491,235,592,019,079,141,437,767,
595,040,342,576,290,942,094,271,385,987,875,729,319,464,077,095,017,195,249,
884,476,426,211,063,423,549,711,168,412,665,928,118,739,675,302,546,712,859,
552,016,562,887,861,655,974,740,861,755,304,408,912,017,290,083,029,492,792,
567,179,648,513,664,406,613,244,004,302,574,097,755,435,658,655,305,011,123,
366,436,150,120,983,381,824,711,851,217,810,946,462,883,030,405,031,144,193,
163,741,457,364,066,350,102,269,527,103,939,505,185,756,983,667,359,940,177,
245,793,484,946,340,236,810,320,190,601,289,287,911,968,885,879,632,245,412,
986,299,128,219,168,691,138,352,011,701,310,789,297,527,765,661,235,247,771,
932,848,118,511,080,714,017,696,502,284,904,545,620,153,913,728,718,989,472,
894,828,505,178,896,706,641,937,869,504,765,784,566,284,350,033,471,894,606,
960,328,193,577,333,239,493,672,760,178,032,827,072,582,431,936,446,266,348,
579,404,572,632,390,092,106,917,129,144,011,465,834,477,835,307,380,771,963,
698,881,469,747,056,632,185,976,596,109,670,446,914,992,705,353,177,969,865,
641,123,907,357,482,675,143,757,539,964,271,238,134,840,611,143,366,557,794,
332,342,874,624,895,869,871,961,191,211,550,506,475,901,925,632,826,119,554,
389,517,348,812,409,114,257,677,225,326,905,880,265,288,111,967,821,257,208,
769,371,863,492,462,524,607,747,421,881,902,971,523,664,869,449,505,327,539,
752,644,067,630,652,934,053,445,514,196,730,750,784,764,509,934,773,122,389,
999,254,279,132,721,666,803,522,482,531,885,899,647,223,620,187,616,168,749,
159,928,017,657,794,328,682,656,998,192,984,558,948,335,451,432,879,323,529,
894,702,509,283,681,759,227,518,957,807,899,093,759,633,841,600,806,229,496,
571,522,863,371,682,180,689,269,347,979,166,006,317,151,963,789,119,110,770,
904,108,527,319,732,831,677,736,123,983,521,346,016,228,513,058,008,688,141,
244,461,161,839,244,596,046,159,556,264,527,443,550,617,326,985,594,184,109,
659,435,059,091,891,754,176,617,682,544,564,641,187,184,186,254,602,780,235,
787,141,667,629,682,738,756,351,607,582,424,109,145,368,599,397,972,389,733,
940,142,553,258,774,797,624,126,955,241,143,858,263,201,366,604,113,438,468,
911,301,514,881,376,072,702,930,089,187,063,913,495,964,144,898,431,099,037,
079,156,540,224,293,667,455,194,116,882,187,253,084,942,145,281,348,700,117,
265,897,192,417,544,973,877,909,490,678,163,064,466,403,615,228,159,439,053,
526,105,592,932,009,160,292,576,127,895,996,634,351,766,252,606,326,755,595,
098,739,264,828,656,145,040,382,935,414,257,526,048,540,666,493,989,247,380,
408,862,543,467,784,625,520,241,664,087,862,753,139,729,837,186,704,525,282,
965,548,426,453,484,638,971,187,450,431,344,046,030,159,926,545,088,156,237,
507,917,449,482,107,631,910,895,482,411,424,230,192,427,939,519,181,744,885,
592,368,014,214,547,454,651,439,553,504,387,423,121,767,064,052,439,208,818,
890,485,333,657,609,508,608,885,181,570,324,038,507,507,223,907,898,990,392,
081,183,309,032,332,628,448,183,116,345,523,379,390,065,063,036,101,657,390,
943,048,077,872,479,967,111,899,720,276,139,598,894,300,059,812,648,774,507,
685,715,591,190,079,774,018,594,411,419,517,841,803,261,548,228,459,563,075,
219,489,986,711,967,147,301,728,459,499,699,654,606,735,562,169,698,040,696,
368,580,395,288,065,349,639,177,485,213,105,566,576,181,567,644,404,370,026,
944,575,816,640,252,073,937,552,164,358,607,124,228,646,187,196,645,384,956,
397,633,880,632,939,317,058,042,916,788,156,378,524,100,996,125,486,298,677,
314,977,173,350,041,326,704,778,515,671,012,223,804,524,418,104,371,196,136,
098,105,974,963,961,249,258,378,362,313,634,169,821,707,958,434,367,207,828,
902,645,403,266,114,963,932,841,806,724,918,042,337,788,264,486,727,546,396,
217,000,914,538,947,420,255,602,284,628,413,754,524,711,019,455,557,459,027,
127,473,877,392,100,919,359,902,304,430,190,422,016,362,997,985,221,894,370,
000,840,105,490,811,600,398,064,999,054,443,811,740,392,719,543,543,861,694,
541,940,534,232,412,330,655,627,078,190,908,375,234,009,513,735,522,816,807,
133,961,429,334,125,938,894,425,946,489,193,180,271,131,402,772,107,038,760,
731,191,399,894,572,643,246,920,003,077,587,822,585,239,575,428,216,066,112,
718,035,974,465,559,287,756,056,551,821,527,570,569,254,003,767,522,133,540,
838,151,862,094,383,511,456,335,721,786,349,641,094,437,480,871,855,185,263,
677,273,384,082,298,231,312,674,933,186,447,048,935,963,337,873,720,780,085,
523,562,018,435,513,843,726,491,181,299,197,852,725,107,095,919,489,902,139,
143,027,656,863,870,318,128,951,194,865,918,668,545,012,095,164,183,716,386,
585,776,151,052,413,004,370,011,007,434,632,420,607,378,961,206,021,169,121,
594,682,152,754,909,084,466,621,734,605,713,346,904,797,896,363,837,026,650,
149,069,728,908,770,176,950,744,373,606,992,168,791,385,715,693,696,774,269,
017,703,662,083,413,566,011,006,357,559,432,872,226,172,949,829,014,639,167,
208,060,168,926,154,138,481,317,154,966,543,771,377,263,224,141,247,871,415,
142,146,749,068,923,808,409,388,286,364,572,826,467,235,249,415,832,292,695,
031,642,815,539,772,566,836,289,231,751,011,119,033,041,962,388,590,969,170,
087,935,589,427,993,936,712,948,512,884,804,851,705,877,565,525,470,962,096,
324,707,024,585,529,959,144,362,896,426,633,869,038,494,239,403,572,853,119,
532,291,197,444,842,035,364,030,360,064,101,199,362,765,837,084,248,829,372,
906,518,755,004,596,508,428,583,387,968,229,223,102,542,589,320,486,928,215,
891,827,268,812,244,433,696,823,928,176,642,354,764,666,165,783,320,861,851,
452,560,846,390,716,240,295,320,258,123,961,226,441,213,655,745,657,675,762,
074,006,511,956,146,787,270,470,755,474,439,985,374,981,820,775,931,049,857,
304,414,375,772,553,838,461,317,288,696,475,278,261,468,542,597,574,165,852,
338,730,840,864,400,471,743,282,309,351,147,380,547,976,807,631,272,279,683,
533,152,547,479,989,188,337,712,695,651,836,304,598,688,397,869,501,296,140,
924,332,288,411,358,279,690,939,028,008,381,450,582,544,715,815,984,528,167,
641,758,979,948,699,903,490,786,045,438,882,231,881,489,545,894,227,930,566,
790,352,847,792,207,957,005,690,909,559,127,580,381,228,113,743,946,880,313,
112,333,221,922,042,380,926,558,874,419,812,153,556,151,296,577,337,464,613,
494,370,888,936,163,089,906,497,178,923,147,676,668,791,174,050,070,688,120,
880,088,077,739,806,439,787,253,135,048,471,925,680,432,921,972,356,054,618,
621,549,194,599,781,593,077,092,219,118,899,487,914,200,376,890,740,052,540,
825,177,813,058,599,678,578,479,091,947,260,099,053,756,696,877,201,972,841,
532,956,703,207,199,781,515,741,969,384,307,795,012,217,894,345,367,997,718,
583,356,378,704,532,507,174,982,711,744,983,997,499,222,249,972,436,971,655,
144,937,838,688,834,916,978,841,425,718,385,700,518,292,724,857,211,110,031,
675,321,169,231,769,893,626,657,380,362,929,920,032,523,410,503,786,132,719,
259,391,326,541,595,955,411,730,515,263,564,791,685,258,720,967,993,482,103,
799,133,537,070,504,119,443,912,195,354,304,029,719,435,054,041,668,336,707,
674,661,703,090,535,207,553,116,731,023,067,030,345,148,647,560,280,884,018,
062,831,439,474,802,167,892,167,825,462,738,402,057,406,079,570,302,563,694,
143,306,864,695,802,858,215,534,037,599,305,170,743,298,255,496,815,097,918,
510,929,687,671,481,965,298,709,919,164,805,560,616,538,086,211,533,527,463,
853,555,847,415,839,521,845,018,125,341,744,559,312,464,142,945,840,865,458,
802,324,745,182,039,214,313,738,722,492,023,517,782,051,499,643,173,598,953,
460,185,055,245,648,181,320,495,125,931,997,227,437,654,354,809,731,462,227,
874,705,638,999,589,710,863,262,719,015,338,549,373,606,083,447,308,943,545,
667,305,788,516,063,967,831,242,481,089,638,804,601,618,186,350,856,136,483,
160,492,577,390,962,196,544,325,524,092,257,025,066,661,029,693,628,130,771,
698,486,809,449,677,587,662,552,238,656,393,257,017,306,714,190,898,358,122,
252,812,350,425,882,488,195,130,812,011,294,760,731,308,368,408,646,114,640,
322,098,888,571,192,824,049,211,786,149,489,483,658,773,348,534,770,522,664,
823,408,226,738,992,749,090,932,598,426,663,951,668,518,903,898,646,793,601,
795,954,992,601,385,591,464,346,694,474,047,892,126,955,971,250,056,824,635,
447,249,992,997,158,331,780,421,544,264,357,460,246,219,811,600,154,631,040,
339,596,763,409,606,421,351,506,505,443,689,249,713,361,221,078,274,260,163,
449,406,369,202,533,138,657,309,976,447,231,355,620,857,898,770,422,549,547,
132,183,430,934,811,700,802,259,519,794,182,769,486,958,321,283,655,573,179,
837,325,677,731,858,365,557,477,950,328,773,128,812,675,728,436,229,693,561,
302,806,340,894,932,569,042,782,553,333,976,486,796,121,333,488,615,896,820,
143,815,156,831,727,372,444,856,432,496,104,152,633,861,104,895,228,847,760,
700,221,597,136,431,395,887,362,938,547,225,612,549,401,988,712,513,243,417,
650,055,814,070,568,814,899,536,463,282,506,041,257,279,308,050,526,926,854,
151,824,150,315,446,510,198,792,563,436,875,502,683,012,422,214,033,244,048,
828,666,415,696,071,724,538,034,781,358,224,593,061,219,385,979,725,064,039,
623,898,752,861,882,812,325,369,637,035,480,146,680,134,161,138,864,295,819,
389,931,023,008,974,878,807,155,027,592,396,124,301,921,347,238,579,412,838,
384,526,033,724,129,660,531,660,988,258,750,544,936,550,427,272,094,920,578,
333,447,920,189,359,554,262,818,945,275,442,461,350,265,103,119,891,119,385,
956,771,961,183,863,762,195,955,010,616,963,558,540,331,925,255,589,077,440,
699,356,546,196,341,161,264,651,178,656,506,273,412,058,241,941,036,102,353,
572,277,650,920,617,033,612,186,444,613,009,659,391,446,874,827,035,029,174,
422,800,468,960,888,018,098,715,135,803,963,306,341,525,695,241,543,970,849,
903,841,966,518,135,785,956,475,879,841,555,452,735,315,276,076,221,533,962,
309,332,684,857,399,093,305,242,806,815,968,251,767,589,666,506,265,785,941,
176,656,896,338,609,230,563,470,620,232,231,619,588,759,150,460,354,740,088,
251,496,588,061,181,278,848,982,725,098,031,238,553,494,862,292,208,473,161,
048,846,981,185,778,105,178,737,245,037,224,729,611,680,608,303,631,791,524,
571,875,989,168,312,200,153,230,050,595,098,796,871,317,271,057,349,033,424,
779,558,205,026,440,318,995,706,546,849,563,881,610,430,644,059,261,950,371,
743,400,143,455,130,525,731,297,657,936,516,813,235,567,391,710,035,107,450,
426,504,632,492,150,171,216,742,684,277,135,806,563,275,222,501,369,356,312,
128,237,505,619,936,473,347,918,553,738,975,864,054,830,326,102,003,551,672,
508,284,557,399,292,221,407,087,570,772,824,984,053,447,421,905,963,203,139,
727,257,015,871,878,026,287,157,481,668,857,050,040,768,436,442,318,075,371,
826,435,416,316,477,927,938,053,323,967,418,104,452,553,250,201,814,568,879,
128,156,652,062,986,557,652,752,001,869,641,238,776,773,506,085,587,785,316,
767,349,304,557,531,039,506,192,863,540,976,332,024,467,620,728,939,225,866,
549,741,101,247,629,069,891,138,638,309,522,879,290,054,185,617,315,190,115,
330,315,955,772,022,260,507,198,921,256,299,195,252,496,515,875,826,380,882,
035,913,654,956,580,343,016,243,220,032,457,336,326,193,517,690,518,020,843,
171,731,990,313,343,051,678,616,896,486,478,936,168,733,144,486,139,206,774,
728,004,019,514,442,721,856,613,924,133,078,513,259,695,462,241,952,731,071,
181,476,314,927,340,047,886,181,295,074,537,955,124,199,269,825,879,471,157,
756,353,399,437,664,944,407,777,195,057,261,484,770,240,824,517,700,896,293,
509,852,009,927,911,629,923,084,804,928,618,505,675,960,442,594,073,459,520,
560,225,097,322,522,186,751,113,318,312,492,690,819,084,265,296,863,268,756,
421,926,847,725,496,707,583,519,899,053,597,116,019,185,543,471,504,185,254,
671,622,204,656,531,276,451,939,182,256,831,046,666,696,036,634,395,274,316,
505,608,638,719,828,369,098,303,673,325,402,963,081,783,751,616,712,279,787,
969,154,430,138,099,538,248,171,416,669,180,590,845,782,436,013,078,709,879,
420,804,065,137,133,476,887,339,113,834,895,563,145,107,763,453,759,185,992,
897,515,942,702,773,772,443,152,117,374,184,951,433,363,083,022,028,161,975,
922,915,206,896,931,853,717,186,525,672,997,987,881,246,625,257,831,997,471,
000,000,355,051,902,129,085,224,489,829,331,319,242,885,862,398,591,355,251,
327,814,111,931,272,831,993,830,525,895,326,358,852,103,477,574,983,769,578,
276,817,916,089,837,066,453,763,274,071,694,497,115,459,471,323,905,403,967,
401,060,292,012,119,570,414,204,619,507,358,142,743,302,190,741,903,510,447,
862,623,654,589,499,523,549,271,116,848,858,257,294,111,287,163,093,954,747,
627,252,217,318,694,375,464,525,535,240,058,745,760,978,879,097,928,451,058,
877,853,989,894,472,249,085,135,520,301,259,500,156,223,319,261,323,297,278,
960,246,800,323,156,466,159,535,717,637,974,343,378,306,981,309,999,995,583,
314,976,702,466,951,975,760,272,701,337,839,536,512,086,721,628,263,217,920,
191,474,210,160,516,956,899,780,881,118,036,054,130,709,333,490,860,860,745,
645,158,046,981,322,751,781,892,128,136,381,835,920,187,555,655,355,006,810,
287,259,503,396,311,588,747,835,138,958,167,021,861,815,376,043,249,663,860,
849,341,931,602,891,815,120,998,259,052,028,717,998,997,842,913,668,866,882,
063,665,956,953,288,710,703,902,182,718,784,174,531,617,430,814,270,169,688,
098,330,568,983,440,939,205,574,851,221,300,915,833,567,360,004,616,721,891,
112,809,356,415,999,341,784,769,616,449,795,360,521,768,595,165,224,525,856,
842,736,042,610,967,405,379,499,087,898,060,242,700,617,341,956,126,225,743,
999,528,155,919,374,452,616,605,893,110,654,532,494,303,154,686,436,499,125,
376,969,557,829,621,849,263,285,695,514,998,662,869,472,506,635,192,285,180,
445,451,414,118,625,854,831,986,742,677,569,899,089,472,760,037,858,534,377,
187,206,253,368,955,039,368,657,250,897,570,418,272,713,065,139,547,603,823,
997,250,949,444,194,261,984,114,374,254,788,803,184,304,978,662,018,993,347,
137,493,053,370,106,891,019,244,743,655,568,324,261,325,428,946,404,788,636,
912,501,504,727,152,104,945,485,335,935,351,219,154,921,360,066,119,638,458,
214,908,903,160,589,898,177,296,355,810,336,747,106,962,896,512,336,882,617,
562,449,576,537,866,860,406,592,702,579,783,533,509,366,245,924,088,865,779,
010,654,595,725,797,088,771,892,962,355,527,520,276,448,107,237,946,856,137,
019,974,602,292,318,682,458,063,941,612,686,644,328,204,822,669,032,745,706,
749,705,758,619,699,255,813,818,496,286,985,332,636,500,035,667,139,371,059,
965,828,218,457,256,553,945,854,431,069,186,022,698,259,011,201,060,205,625,
437,816,734,938,839,580,380,491,887,352,373,493,822,271,154,033,761,589,391,
255,983,734,848,734,168,922,685,112,234,465,594,053,076,272,038,317,748,634,
604,229,839,140,161,262,665,679,559,316,581,396,145,284,900,589,271,971,258,
810,640,181,029,726,406,698,313,430,630,809,213,655,656,937,699,198,937,311,
394,604,464,285,622,217,340,275,725,240,375,556,828,457,501,038,969,257,252,
718,934,308,768,493,831,918,773,584,616,554,523,140,548,023,910,189,930,253,
082,665,055,878,515,650,604,058,845,207,321,848,469,577,164,377,114,826,217,
638,187,651,538,558,759,753,382,489,245,694,500,279,452,450,486,741,451,805,
709,768,209,062,183,285,548,028,451,070,982,636,764,602,321,811,433,791,501,
988,322,851,022,615,514,020,940,770,140,612,814,530,809,902,386,640,916,078,
458,698,894,420,623,819,084,796,743,557,917,748,421,806,792,239,152,520,556,
376,612,907,996,918,546,461,498,384,424,010,063,148,375,155,667,267,342,155,
909,078,947,985,922,393,304,877,344,280,469,564,613,849,853,133,866,231,516,
454,115,226,015,208,268,753,060,136,236,164,082,278,454,748,792,879,118,366,
111,364,564,937,096,101,896,276,642,087,383,941,824,366,634,781,233,697,553,
285,503,082,568,874,833,182,027,059,497,353,576,109,611,942,008,607,189,537,
603,495,248,579,492,013,295,277,794,520,766,117,328,955,469,000,487,803,929,
986,939,108,792,102,756,253,661,085,107,621,971,705,033,986,459,242,612,164,
548,058,255,763,073,348,050,075,930,239,730,673,502,883,928,541,624,480,359,
249,172,004,471,511,330,780,380,752,949,936,562,805,525,157,968,830,036,545,
881,579,157,319,285,720,173,651,603,357,777,078,568,657,856,340,646,983,541,
267,010,219,501,416,926,132,596,426,978,059,546,668,588,861,661,246,373,390,
217,528,944,377,110,577,162,397,097,367,498,224,070,114,307,321,413,265,850,
008,327,536,847,642,652,723,233,864,152,837,234,695,628,006,206,751,036,103,
982,464,912,725,913,719,035,327,958,081,570,541,641,840,599,482,382,084,390,
987,935,092,085,747,691,081,486,584,396,514,166,338,852,501,132,504,287,145,
002,859,779,145,797,701,052,371,112,620,293,702,872,001,917,454,916,883,202,
667,558,106,936,781,457,997,578,260,450,082,859,726,266,055,627,586,081,902,
989,730,946,051,471,842,391,070,869,642,738,385,023,324,246,501,621,183,962,
235,765,098,001,274,685,697,769,947,636,416,664,466,315,021,106,378,480,109,
426,392,347,081,539,542,646,069,085,639,391,138,412,755,969,346,843,996,766,
029,672,161,602,415,236,994,667,373,528,115,003,723,771,802,836,180,843,633,
152,150,549,583,881,448,671,451,715,839,589,728,903,971,102,282,715,298,844,
193,134,576,923,238,361,675,967,213,750,545,505,695,620,925,939,025,419,446,
756,014,335,174,612,750,010,177,687,576,819,640,177,494,939,269,805,602,407,
206,097,475,786,233,523,557,437,650,203,262,463,837,193,585,818,466,621,961,
699,737,780,410,417,898,344,689,286,145,699,715,545,472,967,113,055,030,145,
088,528,025,744,775,749,239,823,475,637,602,972,023,516,346,809,431,646,254,
572,831,044,650,796,375,947,948,988,196,092,565,486,632,477,339,127,929,895,
194,962,597,137,383,932,972,710,867,007,002,932,417,614,862,517,893,138,654,
226,628,095,628,938,157,278,494,930,053,829,238,083,629,633,252,655,793,260,
907,675,908,032,852,165,573,876,981,243,479,903,179,166,812,371,075,491,086,
045,140,725,320,244,517,503,944,976,649,725,135,880,990,821,539,456,211,154,
118,995,353,922,446,829,294,724,541,749,185,622,151,322,583,848,254,398,215,
749,651,317,898,972,871,065,774,016,289,067,003,199,643,453,994,531,339,931,
388,512,105,955,450,863,673,203,111,437,168,122,710,219,591,651,757,333,542,
148,073,476,027,222,802,397,252,201,462,639,974,929,585,555,892,036,003,360,
615,241,685,911,004,415,381,714,500,818,885,280,306,190,445,372,579,189,487,
481,684,177,640,436,056,603,328,622,106,141,993,250,470,690,895,915,251,404,
511,803,872,270,447,591,614,019,336,070,523,831,657,764,336,908,009,185,391,
609,379,761,661,819,536,458,103,634,142,976,353,036,000,056,984,629,449,184,
168,718,408,312,914,263,927,183,783,228,253,087,534,490,616,291,666,944,466,
038,137,004,796,452,634,526,056,374,660,291,430,007,190,555,113,163,700,233,
871,577,268,139,374,890,348,743,830,001,958,185,101,479,390,290,255,083,308,
331,919,181,559,767,640,766,289,864,366,603,370,085,839,659,934,993,068,667,
347,852,037,018,712,323,182,355,258,460,653,265,303,857,275,970,063,878,978,
107,535,782,264,362,896,522,565,528,032,837,662,740,652,242,615,643,650,070,
515,173,740,375,393,046,462,366,755,678,410,143,559,726,775,314,645,817,261,
513,875,214,438,035,747,373,350,951,739,273,556,393,362,356,385,390,755,417,
063,580,218,720,217,876,378,040,108,808,293,015,429,630,919,615,474,063,886,
161,132,497,643,379,615,095,631,715,940,556,434,933,184,563,822,902,668,280,
853,381,236,781,301,084,932,746,986,430,971,797,426,802,757,068,360,583,440,
382,412,798,650,575,434,843,636,496,614,478,407,853,923,343,648,859,956,886,
345,711,091,802,697,406,918,599,778,135,093,762,814,586,196,870,949,892,282,
785,240,510,618,902,350,761,824,224,642,651,013,492,625,033,737,854,572,039,
247,931,908,109,876,710,034,786,247,823,405,805,955,924,343,550,506,071,404,
402,420,950,633,611,815,986,261,056,089,040,598,824,699,225,912,672,005,609,
321,396,155,529,349,793,261,562,315,942,071,849,230,716,162,652,677,038,917,
537,360,806,618,990,604,350,287,422,371,590,713,566,984,199,397,343,572,697,
262,254,490,367,062,382,814,453,734,634,460,405,287,303,534,385,834,912,356,
761,380,829,395,556,740,329,256,138,523,080,439,273,157,825,316,721,299,584,
635,135,885,141,576,179,587,243,409,091,884,616,214,051,199,758,287,074,851,
727,619,771,019,582,954,613,737,664,487,163,069,473,260,038,205,375,915,746,
282,878,006,222,863,380,647,037,969,129,275,764,191,086,430,197,869,316,960,
864,334,004,762,544,951,821,872,447,864,620,541,761,971,461,761,038,070,361,
036,428,953,295,147,566,899,216,302,622,315,140,323,293,665,852,984,726,215,
131,586,656,582,459,656,233,601,509,168,433,984,721,281,770,325,398,576,440,
596,553,861,774,788,965,355,162,130,107,590,542,766,186,710,943,666,038,473,
967,927,791,205,161,517,318,855,196,411,570,273,850,388,280,749,693,885,024,
761,280,836,255,378,097,825,027,782,423,641,576,413,469,131,665,265,847,585,
357,030,670,145,445,249,755,240,081,586,925,922,532,895,330,773,640,227,304,
840,394,656,503,466,248,016,126,798,521,369,445,522,508,153,113,305,021,066,
654,113,335,194,310,285,709,800,783,597,707,489,529,923,974,147,346,005,564,
228,891,314,960,184,978,295,712,318,820,616,116,173,996,811,855,708,075,062,
958,873,167,953,763,810,423,089,775,869,275,758,192,237,247,106,931,502,093,
686,290,796,160,574,261,166,070,293,830,611,088,448,972,072,438,540,490,582,
888,755,459,660,280,783,027,843,147,924,982,890,945,243,518,225,531,101,548,
454,468,469,478,428,926,718,965,609,635,176,054,205,697,859,046,966,447,746,
799,102,761,386,565,247,317,036,937,521,530,863,048,876,614,760,881,363,390,
797,527,476,488,184,935,102,188,792,751,664,091,322,174,145,458,771,673,929,
189,197,160,236,980,252,396,545,595,678,038,058,217,927,932,840,992,358,985,
695,572,851,288,303,357,217,163,909,447,792,492,325,644,320,053,627,766,390,
717,798,439,346,342,465,618,309,382,613,669,962,933,795,372,130,170,372,437,
062,032,097,664,747,731,881,383,145,730,368,622,594,731,503,187,872,796,060,
109,223,085,136,172,694,017,067,431,756,575,971,205,439,490,612,821,418,662,
916,307,224,379,645,324,706,674,666,140,822,333,233,613,247,700,662,745,769,
616,132,275,979,844,650,960,706,504,387,986,045,792,186,458,564,405,954,827,
404,832,120,356,017,153,270,558,809,088,306,897,705,563,900,798,841,529,672,
540,219,930,626,899,557,580,596,033,505,882,883,784,013,954,719,652,140,605,
711,336,688,410,576,165,547,082,730,442,708,241,538,207,333,421,383,719,100,
089,436,735,475,271,907,073,016,877,683,872,076,372,997,590,348,275,443,618,
459,794,742,285,966,821,610,214,905,315,680,264,803,205,404,686,558,770,530,
186,454,184,607,309,313,066,637,163,726,578,397,092,863,979,901,588,140,766,
249,636,069,660,969,059,730,048,105,066,624,867,143,308,804,270,469,785,488,
865,334,054,576,774,993,060,354,929,298,421,306,603,853,332,676,278,816,876,
353,260,164,019,409,809,913,403,845,472,323,875,252,576,693,877,708,267,057,
717,256,358,238,266,444,825,511,444,291,691,070,321,039,652,688,896,929,739,
255,742,020,033,246,949,823,486,266,733,577,110,543,315,123,758,890,459,605,
533,112,082,402,573,374,839,378,149,427,528,634,149,558,836,156,025,785,555,
951,615,706,218,988,376,296,521,319,133,858,154,611,483,281,779,891,051,784,
209,989,549,911,359,713,231,879,615,727,217,051,113,211,220,879,720,965,251,
124,619,118,439,169,171,859,763,597,526,097,196,322,589,540,539,534,710,922,
846,632,594,784,553,341,419,527,715,725,071,290,037,783,147,856,227,823,099,
120,639,531,733,934,102,248,077,364,645,416,654,840,972,359,460,096,944,647,
380,420,615,411,648,816,475,019,664,882,732,659,653,407,296,441,149,206,920,
474,368,809,745,557,481,958,414,902,917,084,368,909,136,711,661,309,171,317,
919,584,635,858,546,519,324,897,728,945,114,655,700,602,984,724,734,178,140,
301,746,891,365,191,638,327,924,106,941,700,744,863,283,890,410,444,596,120,
202,234,262,438,548,211,061,051,286,693,271,143,366,464,573,839,296,180,551,
675,408,785,940,664,634,367,074,867,378,155,468,545,727,514,075,340,773,242,
361,774,440,496,050,753,707,743,016,621,911,322,411,473,966,057,620,118,900,
594,071,380,816,017,198,469,998,580,917,844,092,272,387,077,322,055,994,099,
680,763,012,939,016,471,345,922,085,702,962,768,450,902,092,969,483,449,844,
827,788,753,805,749,392,821,940,655,848,178,397,775,435,800,350,015,578,452,
731,129,314,882,791,808,883,951,379,789,197,601,867,305,947,315,505,662,411,
877,459,597,562,182,665,685,188,436,507,364,885,252,358,929,584,860,724,278,
008,433,295,317,118,348,413,809,072,227,976,540,849,484,340,645,248,600,139,
576,758,444,596,009,420,216,815,048,497,796,127,683,143,732,511,403,458,544,
897,407,761,873,846,136,282,105,945,124,215,895,425,443,391,838,743,860,803,
774,740,927,998,759,176,773,249,062,795,752,157,600,946,458,949,263,840,479,
067,976,695,013,083,701,012,997,230,183,826,055,897,085,033,592,590,501,351,
116,146,054,585,147,257,045,401,846,469,810,646,264,485,299,909,890,427,925,
654,072,654,678,279,232,422,976,477,098,423,897,254,948,169,873,273,055,111,
298,156,695,251,468,646,515,162,629,134,388,851,616,753,829,673,445,638,342,
517,759,370,993,029,328,565,378,373,659,775,956,205,330,351,231,040,563,722,
195,556,477,248,729,401,011,520,610,192,201,692,487,656,942,717,850,775,491,
798,139,789,998,215,559,451,006,942,637,545,747,939,480,351,816,158,167,251,
468,095,260,595,762,648,495,451,690,023,285,362,057,212,398,927,935,098,285,
095,714,904,230,116,485,851,272,831,058,800,622,033,578,822,742,409,971,081,
519,086,979,167,602,196,103,467,103,333,407,224,430,209,914,268,159,075,925,
680,765,066,177,458,670,333,654,506,857,864,433,109,004,461,722,507,709,172,
849,821,774,286,645,085,693,794,217,785,542,276,919,918,620,990,851,837,001,
939,958,669,724,941,011,751,285,810,893,637,443,709,961,923,791,396,574,662,
738,631,168,083,952,956,855,380,609,419,457,428,811,443,738,361,852,350,112,
866,939,686,724,333,196,319,248,433,748,777,032,481,226,828,667,522,161,860,
694,221,633,573,187,806,138,613,064,764,538,847,982,247,275,959,723,926,819,
856,558,627,846,604,100,545,459,845,333,238,975,111,810,141,885,809,467,767,
563,354,591,404,729,068,918,408,871,775,833,342,501,905,192,862,966,058,379,
841,652,083,384,911,203,171,221,089,699,547,217,220,779,697,830,754,043,401,
113,553,997,951,083,102,509,884,301,965,106,932,645,445,322,065,238,898,974,
374,401,937,360,287,787,290,213,554,151,882,342,495,280,757,056,538,074,381,
256,032,095,503,993,810,224,723,173,754,290,511,459,378,694,293,106,362,964,
037,571,456,036,635,306,740,301,544,698,644,553,077,442,553,612,460,905,341,
401,543,118,879,602,322,165,321,624,126,042,336,801,594,530,050,804,981,128,
483,176,453,627,236,903,238,418,725,852,258,383,637,436,213,359,866,980,108,
210,796,761,039,621,188,155,487,562,866,470,335,864,197,062,471,354,234,901,
111,998,330,526,391,419,436,593,566,409,137,627,842,472,538,589,658,936,398,
876,302,499,814,555,857,104,129,495,685,845,171,994,277,717,018,286,192,545,
442,652,415,061,910,185,446,387,149,942,360,310,836,314,426,374,274,979,146,
332,818,870,313,238,573,987,169,700,277,107,129,443,793,654,209,213,648,210,
516,531,411,436,406,031,651,337,353,429,896,782,719,012,868,512,463,496,209,
526,581,819,226,619,134,275,046,347,282,961,392,058,923,542,090,618,987,413,
381,183,012,069,009,395,597,548,793,622,800,872,741,841,882,054,869,189,538,
309,026,040,553,976,123,120,208,637,995,558,236,147,486,252,797,909,509,065,
731,339,840,372,246,662,386,975,119,916,621,983,186,505,774,639,619,327,283,
528,316,110,321,692,132,463,483,887,395,798,626,889,494,769,500,225,788,785,
852,953,976,139,468,910,878,626,091,039,790,581,337,685,813,386,889,769,873,
825,514,195,951,056,805,656,223,104,417,881,578,163,333,946,941,282,695,423,
841,139,304,279,450,000,800,062,428,439,867,530,029,823,830,588,987,581,516,
350,294,711,257,185,424,523,462,756,789,875,319,055,903,776,222,533,465,854,
144,394,896,912,395,779,215,978,526,390,926,706,716,489,018,510,535,477,124,
436,557,362,936,019,196,268,002,381,610,512,100,605,836,133,638,818,528,176,
100,398,568,162,684,273,799,715,178,182,458,376,994,432,697,501,536,765,009,
157,483,273,183,685,862,347,064,989,620,983,974,502,782,460,141,945,713,570,
722,202,033,945,496,833,335,517,496,289,271,544,696,952,873,844,035,472,558,
037,950,353,489,012,380,679,483,119,109,357,668,499,151,313,097,202,687,085,
155,891,879,157,280,103,712,410,413,920,270,407,722,747,402,246,642,992,319,
295,503,085,424,159,681,945,520,818,750,653,493,219,908,181,187,897,867,134,
012,318,290,518,396,337,991,668,906,955,080,110,162,775,163,903,387,650,389,
227,776,795,422,816,060,841,479,375,160,854,441,499,961,751,872,673,878,577,
717,272,739,271,582,396,871,226,871,431,152,119,607,925,459,869,131,110,763,
725,727,727,992,279,052,333,396,717,227,903,723,143,560,684,880,679,075,833,
455,469,107,859,702,222,442,181,308,470,423,239,802,767,782,687,384,586,433,
158,593,386,422,621,926,129,126,905,117,447,605,396,719,656,616,544,341,010,
057,371,888,295,721,094,456,273,683,071,479,658,010,229,711,003,818,343,080,
430,320,174,906,067,367,949,849,958,690,064,740,485,804,056,943,685,522,213,
592,932,725,260,051,934,724,512,749,641,239,435,380,294,454,022,108,297,892,
800,348,321,031,936,594,916,938,015,487,850,910,072,694,665,782,284,351,888,
313,200,613,611,427,637,502,719,754,034,842,063,483,783,119,928,891,542,999,
230,280,206,091,458,605,723,399,870,482,046,715,519,888,077,277,156,909,920,
712,844,786,999,430,575,792,341,538,948,577,379,029,512,912,781,882,850,118,
818,705,567,944,908,882,219,556,059,580,774,242,945,319,252,319,988,411,950,
061,217,776,102,356,078,479,700,936,668,543,932,477,102,208,748,751,872,444,
509,454,215,365,262,968,080,140,586,791,104,237,958,579,220,787,227,948,142,
603,112,873,405,491,440,745,197,358,173,176,411,346,070,921,323,280,272,683,
760,674,531,952,134,875,571,114,707,800,768,940,190,817,904,379,519,995,467,
065,728,013,408,962,272,137,833,092,095,862,746,523,327,342,427,404,143,178,
145,839,991,792,987,365,979,120,790,994,498,668,884,525,711,646,997,085,552,
711,651,265,719,391,283,428,292,893,466,612,868,635,847,360,335,204,483,273,
880,083,129,625,325,728,525,471,920,367,226,749,882,018,713,404,756,188,227,
830,985,964,993,312,995,903,255,675,749,539,343,453,423,534,874,769,379,626,
849,500,013,172,063,217,499,990,083,862,143,559,631,031,018,574,231,683,951,
652,991,844,941,361,253,751,562,585,674,188,175,668,921,784,917,826,062,287,
577,693,420,959,859,088,242,971,100,046,061,740,727,134,732,548,017,227,282,
147,271,905,958,775,528,745,338,431,465,879,389,699,784,892,551,974,161,538,
753,363,642,326,852,799,605,638,759,898,597,034,660,133,136,327,749,541,084,
606,269,838,290,249,608,540,727,217,312,661,637,264,136,118,494,352,916,988,
333,969,147,368,913,977,515,678,678,935,556,793,652,264,097,723,956,234,609,
519,206,776,668,043,443,437,684,717,624,484,107,723,895,964,963,460,916,986,
957,321,769,655,910,529,092,183,715,200,448,374,481,563,383,615,491,939,058,
318,754,402,063,768,370,215,750,502,114,109,246,253,221,437,385,933,873,551,
392,493,573,565,684,469,544,566,823,369,846,059,679,846,437,209,635,328,830,
825,532,984,268,760,291,010,811,187,484,487,099,853,826,622,518,016,005,905,
770,815,755,924,026,222,076,769,770,401,822,477,796,417,274,747,172,203,799,
995,224,863,874,586,568,688,784,994,964,658,223,471,285,216,640,186,844,974,
719,942,063,549,894,280,416,727,213,877,011,306,538,515,956,884,551,358,561,
248,198,345,979,448,253,541,107,084,343,085,670,006,079,790,337,858,158,399,
434,417,955,530,434,890,462,923,309,283,169,957,685,715,517,941,920,179,168,
082,687,916,490,940,797,731,547,375,411,610,135,658,952,353,421,739,881,219,
779,456,071,636,687,923,665,242,104,156,821,794,009,519,110,372,380,900,008,
390,678,943,282,896,946,540,693,207,439,256,641,327,184,039,413,379,346,873,
317,807,181,774,042,760,097,487,241,057,688,342,892,321,161,320,656,495,237,
981,878,973,490,546,336,954,804,247,661,054,466,760,200,947,844,651,218,128,
933,909,097,898,736,439,399,607,564,069,248,081,249,632,961,836,040,189,809,
003,532,008,892,203,818,490,862,346,036,761,013,818,551,437,173,603,204,187,
102,199,457,297,982,855,957,111,968,679,248,083,316,939,916,429,221,150,533,
019,525,728,235,474,608,100,378,744,889,840,553,419,439,474,769,065,488,766,
201,325,778,200,610,687,180,786,299,361,747,225,911,500,285,285,365,331,371,
025,199,434,486,237,713,899,832,150,691,195,923,445,893,709,939,503,196,137,
292,261,456,472,675,256,435,386,024,293,917,764,907,323,133,345,696,616,528,
562,587,470,549,707,049,683,936,495,170,875,007,486,149,886,970,018,448,182,
463,199,469,297,257,487,428,769,856,073,613,041,914,157,625,631,474,331,518,
112,134,781,074,285,175,909,487,371,932,492,652,960,696,970,282,028,737,037,
688,103,810,078,149,277,750,094,455,933,761,551,286,081,796,992,473,149,340,
430,226,962,311,507,371,058,451,542,979,585,251,168,610,762,894,099,922,674,
784,864,207,857,873,555,721,718,679,741,072,253,522,850,497,043,838,320,546,
489,285,617,859,600,727,638,976,326,608,595,582,146,611,769,030,752,574,410,
791,537,345,680,502,354,809,294,795,238,237,952,323,296,924,103,488,831,894,
100,642,612,943,008,725,818,947,514,505,755,173,117,075,496,842,807,177,821,
009,655,870,551,088,568,247,085,890,493,207,617,422,993,450,122,115,361,901,
363,911,081,098,833,500,708,428,667,374,660,233,324,994,087,708,479,320,465,
151,894,758,312,303,311,478,276,407,156,648,233,841,585,286,482,785,186,604,
595,436,758,926,763,655,305,312,427,755,422,519,777,470,297,227,549,680,448,
981,758,233,136,657,579,981,074,317,281,811,565,330,873,592,422,118,965,373,
533,123,325,938,439,179,452,920,133,908,588,490,885,352,767,459,268,650,015,
459,932,755,267,848,641,570,946,132,988,953,127,216,844,911,301,285,020,843,
836,173,101,133,044,879,383,157,575,551,807,390,134,637,014,312,443,581,731,
292,144,805,174,391,476,178,265,341,535,547,422,641,013,438,541,379,404,531,
700,216,042,179,206,723,682,656,289,515,212,725,964,748,542,507,466,697,592,
422,303,252,333,434,104,414,855,352,921,513,673,377,211,376,467,440,102,448,
291,574,990,633,329,350,363,668,692,410,908,313,215,954,217,768,011,999,080,
641,201,895,254,079,998,870,895,375,418,353,774,068,332,048,550,504,917,316,
967,597,977,647,738,510,219,476,323,423,082,605,802,833,605,425,592,353,601,
809,585,169,791,477,397,053,782,413,339,961,606,829,333,819,667,493,217,974,
536,595,137,057,220,654,773,334,716,778,024,515,960,761,256,278,531,896,325,
511,750,841,823,902,122,897,751,521,471,852,788,353,917,413,558,120,424,609,
187,376,364,876,527,900,651,342,056,642,151,307,141,925,810,734,378,671,633,
871,864,575,144,781,542,680,045,063,382,077,487,770,536,513,472,709,425,163,
849,956,159,250,054,225,859,817,553,263,259,599,986,527,932,109,204,346,359,
235,990,084,699,869,173,191,226,803,045,583,149,871,906,362,671,179,285,522,
121,067,881,828,846,146,072,304,234,113,113,949,685,337,189,732,334,453,080,
440,447,890,555,394,548,814,251,038,827,137,597,012,585,572,154,184,906,652,
712,605,940,787,239,920,675,055,086,170,391,923,128,836,850,271,802,189,334,
410,095,957,964,760,194,103,395,963,241,686,602,911,906,496,133,207,860,424,
620,135,214,322,327,552,462,327,489,088,580,335,909,088,465,464,154,997,785,
732,533,907,248,481,989,184,692,174,077,619,862,724,763,743,652,344,602,071,
698,990,099,370,216,225,300,639,824,221,310,843,294,150,647,067,912,514,526,
840,410,546,867,817,046,791,901,418,821,816,929,256,867,247,647,452,801,719,
563,323,582,639,007,309,918,711,645,837,793,198,954,682,439,464,138,555,078,
151,473,602,880,633,467,256,396,119,624,399,608,837,220,810,988,676,536,271,
504,445,728,677,832,526,857,476,601,700,889,608,285,331,292,988,521,358,787,
511,806,792,554,547,096,841,253,603,277,939,023,600,471,376,186,289,084,091,
998,011,576,330,437,270,397,322,182,470,844,073,793,098,130,851,726,074,398,
165,017,243,131,895,759,242,814,654,842,360,029,462,773,092,689,191,829,603,
173,920,781,410,314,309,557,833,989,952,188,071,344,029,386,052,103,379,365,
302,039,848,146,014,009,278,552,781,295,109,128,729,727,646,174,072,284,214,
638,400,487,901,149,429,710,967,365,546,105,498,666,644,700,818,888,640,763,
818,423,765,451,616,951,103,126,680,935,466,489,870,092,617,820,163,716,141,
451,265,762,929,154,288,910,521,302,567,518,464,967,959,377,114,716,205,558,
487,278,984,181,872,021,372,817,337,577,150,971,721,199,201,891,637,084,427,
138,812,199,830,941,506,862,619,661,633,572,485,038,502,211,473,450,270,087,
864,089,398,165,200,863,758,445,944,651,101,595,514,277,685,836,458,043,196,
391,048,534,464,054,923,368,363,100,375,516,824,892,027,291,370,727,580,041,
521,348,996,187,086,282,985,754,261,167,465,985,590,265,953,353,106,512,427,
693,402,770,540,086,692,325,937,503,617,870,777,272,014,201,726,281,833,129,
348,834,912,256,655,858,729,776,113,364,264,559,499,758,216,644,602,368,224,
114,792,578,800,058,632,854,663,981,300,719,999,980,203,936,370,415,732,227,
156,154,563,417,033,910,543,064,384,242,395,171,712,435,404,065,362,903,912,
507,485,264,186,569,294,727,763,628,518,137,114,254,433,529,308,682,445,500,
432,666,375,279,380,548,538,571,110,074,646,755,922,765,350,345,365,843,053,
804,524,033,905,800,898,454,058,995,750,866,583,773,843,788,680,850,510,025,
297,404,344,360,351,134,091,222,426,147,810,977,557,330,714,101,926,953,613,
605,146,224,312,922,563,714,153,060,323,001,401,694,740,710,878,933,478,153,
802,845,603,468,976,442,432,342,011,355,207,379,135,075,966,766,377,007,600,
500,752,892,076,964,054,509,011,575,386,843,446,840,129,005,028,916,587,557,
998,448,929,301,783,735,837,431,830,692,598,263,674,897,224,567,600,663,899,
389,822,213,657,329,360,811,999,080,676,360,029,774,234,770,844,218,005,382,
229,821,912,836,443,754,907,804,904,436,003,949,313,198,234,709,294,186,101,
118,311,770,748,359,755,079,154,214,622,389,283,219,837,789,104,293,523,526,
717,504,041,932,411,168,684,466,565,873,381,715,170,534,740,579,951,947,999,
698,105,468,598,617,750,311,392,660,452,460,854,019,467,725,610,805,090,008,
872,804,597,002,077,015,460,277,598,074,457,530,757,187,712,790,391,089,061,
448,875,830,137,004,520,402,871,040,638,419,597,435,495,489,037,343,760,593,
524,249,339,360,782,075,242,888,841,467,407,857,563,899,145,618,996,916,440,
623,702,525,575,798,837,892,230,174,270,189,932,113,478,715,002,912,730,589,
668,318,367,308,379,007,548,542,430,130,711,314,853,329,994,228,523,595,606,
364,369,779,532,436,417,627,215,208,792,138,254,016,154,648,263,453,130,054,
944,042,431,130,352,061,721,634,090,315,144,844,127,306,579,556,638,300,891,
457,531,788,818,792,612,331,518,080,294,685,276,108,279,065,941,146,877,254,
054,407,577,206,134,221,187,382,832,305,042,333,651,843,163,638,613,655,820,
698,635,255,473,171,626,926,702,026,440,660,556,261,249,496,317,464,366,902,
380,432,710,537,643,077,065,945,360,900,123,169,184,862,947,193,376,011,607,
215,830,252,362,806,740,404,407,456,923,839,001,275,321,977,814,320,256,197,
237,363,756,013,831,654,636,035,831,604,938,319,028,311,529,846,534,455,106,
650,990,685,400,804,202,971,653,923,571,900,032,005,836,698,649,653,888,569,
100,697,287,734,746,428,906,885,345,419,091,713,842,231,621,791,520,485,060,
742,358,699,698,449,542,520,296,622,413,404,035,332,064,975,602,464,914,967,
607,223,557,469,645,413,802,890,714,417,847,739,383,965,436,406,106,133,145,
799,885,420,187,262,539,063,160,086,119,212,964,970,404,119,823,853,318,607,
916,651,869,858,370,412,781,670,939,004,389,044,575,506,073,583,380,601,101,
775,605,971,994,509,091,899,684,414,162,567,445,499,857,981,827,668,830,877,
355,747,136,602,374,129,667,867,834,427,435,327,843,309,998,750,482,959,404,
147,541,527,729,370,011,752,350,419,949,989,347,769,166,258,178,046,373,604,
883,995,786,183,507,243,855,559,578,452,880,749,816,405,416,121,533,468,390,
699,397,951,978,552,032,894,576,712,812,507,904,437,082,572,790,577,027,192,
054,781,092,059,315,366,527,992,792,819,316,565,627,366,002,057,204,755,538,
473,440,943,394,781,739,959,166,980,774,853,023,764,132,380,948,219,004,856,
240,387,156,841,099,460,312,108,297,531,716,636,100,775,669,160,112,383,646,
795,166,442,781,836,842,138,248,065,751,466,154,048,419,326,663,331,412,721,
348,546,181,094,130,326,168,929,265,245,909,458,470,813,975,203,517,358,994,
803,215,987,608,563,297,946,169,642,543,787,333,303,673,670,288,045,474,217,
464,208,402,062,559,192,952,744,668,506,879,342,047,666,340,241,237,133,716,
353,562,528,771,991,001,260,861,761,031,789,735,861,691,294,331,831,685,858,
748,572,366,256,517,910,319,577,138,290,578,398,162,764,850,116,765,778,260,
904,844,833,743,513,604,407,036,898,133,074,365,178,543,554,293,595,724,818,
543,500,525,340,291,634,002,197,329,726,643,006,663,618,703,999,688,480,400,
666,621,848,836,531,286,417,206,353,592,243,890,504,199,519,998,195,061,400,
772,052,639,208,585,372,901,591,586,090,805,484,968,437,302,001,749,380,703,
281,722,809,167,289,513,616,859,844,620,688,998,751,551,499,056,335,248,749,
561,853,522,301,620,786,485,789,471,435,665,663,804,488,393,593,782,389,239,
079,791,321,534,445,598,279,311,884,646,648,992,846,055,894,000,837,726,128,
802,824,718,119,331,955,757,645,072,321,838,549,310,820,096,981,473,405,112,
947,382,413,794,335,679,611,693,620,836,528,393,624,111,933,298,970,541,430,
077,014,968,834,747,025,222,492,625,853,055,506,895,486,034,362,653,286,602,
766,963,245,392,140,116,407,085,701,031,803,483,963,203,973,001,253,290,797,
728,207,283,987,688,872,143,907,980,119,793,906,687,434,606,399,704,495,563,
296,040,288,617,333,108,799,658,411,935,000,832,936,007,924,963,046,157,187,
332,280,301,224,584,452,256,382,645,087,046,256,568,869,770,662,243,850,638,
228,799,457,395,038,367,056,326,695,896,702,616,112,007,680,239,093,486,105,
883,097,484,083,399,806,826,285,618,272,573,520,863,132,798,497,668,937,285,
399,760,596,240,342,115,618,605,495,397,375,821,492,375,991,381,054,673,327,
869,318,298,082,509,726,410,246,713,498,305,605,882,591,884,348,103,838,514,
448,333,555,920,703,055,918,118,910,315,700,151,929,206,285,205,279,459,333,
797,198,141,670,076,160,957,079,702,752,072,528,109,625,835,279,646,279,544,
807,434,191,484,396,465,028,588,221,189,249,285,044,121,693,274,427,119,981,
021,655,643,502,469,165,599,242,630,805,637,665,740,354,098,551,840,038,341,
937,007,919,100,679,731,940,959,091,648,576,060,799,423,984,270,074,035,930,
867,687,078,602,704,048,770,528,047,382,342,460,558,487,294,368,274,085,856,
997,405,079,654,156,806,067,948,516,692,664,122,373,666,915,508,820,987,967,
128,045,006,029,486,138,815,385,862,359,993,819,521,197,879,665,518,730,416,
402,928,535,915,331,260,997,575,817,204,356,688,718,989,790,992,762,329,122,
375,664,612,788,280,005,288,874,487,415,601,991,849,743,373,904,025,060,258,
468,015,549,788,888,556,338,190,893,496,860,247,448,107,411,375,557,404,464,
763,189,871,078,605,471,724,629,940,536,173,923,355,803,029,759,475,429,198,
916,100,766,623,961,430,263,210,058,875,142,187,373,132,941,495,497,784,557,
061,049,304,439,222,994,611,700,341,720,260,618,325,883,927,946,602,673,026,
564,632,327,585,669,318,907,268,714,264,882,832,108,440,135,444,295,291,323,
213,114,892,609,144,259,832,660,063,051,187,186,761,911,305,891,772,200,022,
967,013,901,302,883,621,802,257,974,897,540,229,265,877,048,749,672,900,166,
692,852,186,271,215,822,750,300,158,184,259,180,285,381,349,571,532,300,113,
688,864,762,130,806,815,740,873,530,775,484,002,868,851,762,671,628,323,166,
649,421,410,220,260,078,818,326,664,258,462,512,426,232,672,444,031,357,295,
652,505,358,177,821,745,523,718,223,966,579,909,277,502,260,330,163,518,334,
572,317,430,015,186,513,002,348,734,764,385,404,589,690,708,062,184,786,449,
185,164,083,008,298,631,091,156,925,438,849,078,954,040,234,708,542,560,753,
195,752,582,466,203,545,595,848,058,174,118,899,401,300,019,861,066,287,773,
339,483,202,802,013,915,414,261,009,136,098,855,401,037,806,060,130,568,055,
912,682,925,816,817,749,351,895,212,799,703,831,170,969,451,161,083,696,038,
291,439,533,297,118,607,821,441,088,674,181,108,228,539,782,250,059,957,231,
915,722,282,722,177,328,696,509,523,477,011,309,905,867,192,969,090,175,241,
024,919,797,061,304,250,664,441,237,104,032,840,305,875,615,704,858,095,341,
388,348,533,569,863,226,151,275,871,766,080,584,490,770,827,006,246,930,836,
401,710,102,122,284,392,342,704,443,210,126,646,797,271,861,674,468,796,668,
363,348,620,227,163,799,076,070,954,327,392,914,868,427,651,553,521,066,652,
643,177,097,882,902,065,728,731,134,406,778,642,661,234,670,348,914,298,979,
962,207,988,173,534,200,735,679,600,514,683,238,451,121,729,969,067,746,321,
839,705,916,795,091,261,270,669,539,091,990,961,637,254,247,837,448,837,874,
207,688,982,805,405,134,414,340,775,703,962,790,131,075,249,926,189,230,769,
712,772,021,862,788,027,117,604,472,131,286,560,377,214,868,731,578,889,076,
133,610,031,083,928,879,903,540,648,708,848,239,289,501,545,891,138,039,714,
900,853,276,008,380,867,841,283,097,859,428,968,276,552,141,556,390,304,433,
272,626,447,306,770,264,543,378,531,165,969,169,861,486,223,129,810,985,620,
116,154,164,818,532,695,358,344,074,770,884,058,090,175,979,652,877,220,275,
120,428,278,949,057,755,115,219,988,198,027,579,874,336,220,722,119,822,333,
614,760,707,645,823,218,648,450,144,284,820,747,693,821,240,765,376,771,545,
515,311,956,388,431,972,847,273,926,303,196,139,081,954,614,687,317,668,570,
851,731,528,038,429,117,409,592,674,364,801,951,179,141,122,604,977,545,977,
638,405,624,295,187,691,253,598,939,023,674,269,828,180,948,407,931,877,160,
955,527,551,104,579,448,678,065,292,272,060,263,851,914,793,430,743,341,262,
226,269,539,729,301,040,056,949,616,260,989,326,768,159,061,576,041,305,509,
420,531,141,281,303,829,436,214,061,851,486,711,246,759,123,607,807,389,113,
370,468,710,336,007,956,846,749,518,861,379,072,957,939,647,550,854,166,160,
980,272,760,248,739,394,576,443,263,005,791,768,935,261,213,022,939,674,729,
328,465,094,561,127,859,904,413,335,053,278,222,510,633,049,613,658,394,023,
653,428,997,066,274,783,225,152,227,473,601,764,291,507,399,649,369,686,864,
318,511,523,443,331,848,327,308,913,460,450,743,769,405,775,571,434,687,339,
857,228,022,113,267,323,545,553,251,844,496,712,259,236,426,576,166,261,174,
792,068,320,576,592,746,933,977,529,585,298,611,583,909,240,102,437,059,392,
962,685,088,860,466,598,839,951,319,670,904,720,807,247,656,764,552,229,004,
390,127,526,719,623,717,258,405,678,643,720,139,013,128,734,189,047,034,743,
999,344,082,585,782,785,598,239,677,345,389,786,623,288,652,185,997,820,048,
895,903,725,050,421,778,751,579,373,879,349,339,363,800,777,742,782,682,703,
052,163,879,187,965,373,592,745,982,426,183,523,373,474,284,000,007,108,987,
750,027,541,608,563,555,350,020,289,549,126,458,998,687,221,386,670,792,299,
654,962,428,062,018,969,884,915,162,043,545,866,855,474,072,450,420,663,849,
698,970,514,110,933,865,530,885,032,411,671,597,043,750,701,968,102,098,213,
498,150,536,366,080,590,760,431,544,586,294,145,397,464,795,467,187,623,044,
535,855,133,090,564,933,686,578,089,349,761,210,693,374,821,669,105,068,013,
138,194,439,766,609,281,920,493,948,972,050,542,108,947,570,930,876,140,711,
867,179,346,498,312,716,250,356,917,455,613,996,599,036,626,189,308,051,579,
547,975,097,852,943,720,898,491,852,687,810,614,364,423,445,718,268,413,956,
415,880,578,762,305,614,413,822,188,354,574,375,133,644,039,430,892,868,979,
245,062,942,158,624,800,805,558,896,184,683,208,539,103,388,244,337,676,935,
276,614,734,056,460,148,967,696,640,757,868,694,176,015,350,357,178,344,998,
639,570,803,247,735,984,108,464,991,158,009,289,957,881,306,074,046,493,453,
008,015,600,175,924,425,183,119,481,343,766,874,549,209,380,615,846,060,703,
429,050,302,321,581,239,777,408,570,856,660,672,980,712,123,897,677,157,867,
126,974,516,511,069,389,871,749,900,893,793,730,939,110,528,673,524,738,096,
523,083,040,970,090,043,776,524,467,243,379,620,110,096,945,598,692,034,519,
850,984,262,553,093,191,026,845,515,305,595,872,774,901,791,359,458,953,409,
685,640,704,804,661,639,450,411,950,373,672,733,308,512,507,890,832,280,473,
722,317,444,654,282,113,682,162,028,653,365,715,565,373,241,851,649,116,074,
153,361,228,534,453,565,193,549,576,615,250,921,826,575,437,383,933,546,741,
678,237,756,844,627,489,089,770,991,869,399,543,684,883,237,359,579,179,605,
904,777,988,981,125,830,119,479,951,837,878,315,971,103,782,859,378,612,997,
569,264,073,687,733,601,516,604,993,770,623,008,108,841,149,162,281,958,767,
895,166,779,830,559,181,872,807,216,386,608,759,399,848,125,311,812,308,749,
712,291,887,416,842,851,925,838,403,027,251,851,596,374,002,046,740,325,078,
706,283,446,444,169,551,441,954,411,357,417,287,485,301,404,028,979,583,469,
126,247,273,002,427,702,653,618,029,193,557,367,919,962,490,892,791,144,217,
396,473,793,696,447,222,166,265,564,661,745,788,318,660,692,416,674,706,523,
397,583,409,521,722,842,339,251,390,579,426,596,142,635,619,706,839,612,200,
392,096,398,715,593,158,563,492,395,354,979,506,041,879,554,710,209,442,381,
311,072,376,301,958,207,229,991,605,236,009,602,929,756,167,960,426,487,614,
524,440,154,738,933,871,861,218,554,592,253,113,161,867,085,874,966,098,151,
111,798,180,473,050,540,773,458,135,911,234,137,220,110,117,779,976,173,663,
015,553,555,535,358,423,450,235,966,612,382,968,719,872,336,590,137,304,334,
762,435,484,156,120,072,994,695,055,829,756,772,355,881,217,255,599,902,486,
817,266,526,229,339,450,577,674,384,122,611,595,691,097,471,057,977,574,364,
560,058,102,350,285,083,853,754,012,109,562,368,836,873,223,983,220,962,899,
506,038,696,308,466,308,134,841,100,542,343,088,475,546,082,161,804,454,534,
272,997,575,774,125,955,683,276,951,294,457,344,581,434,503,029,269,533,761,
816,192,901,749,286,468,410,372,507,136,557,502,965,093,385,445,068,728,066,
394,916,995,923,407,191,730,928,350,268,378,019,423,110,640,302,090,664,931,
153,136,267,735,524,611,840,243,326,697,749,073,041,865,176,243,512,712,460,
313,635,122,592,169,514,609,520,864,721,289,061,034,438,568,805,534,988,956,
592,442,730,793,380,299,142,400,492,680,107,814,693,360,918,295,874,822,813,
924,501,114,969,090,763,347,251,149,284,816,948,499,077,152,526,552,677,535,
359,954,031,221,755,983,147,395,685,578,871,048,681,515,569,024,586,246,815,
966,160,552,055,535,261,688,578,830,517,217,976,145,714,019,157,749,304,913,
841,131,385,480,596,821,043,020,640,019,635,044,441,795,281,909,878,482,534,
647,467,274,079,025,142,059,343,829,508,155,742,982,109,909,355,515,969,537,
864,845,204,035,436,296,023,768,756,499,179,000,811,698,993,645,891,978,505,
404,664,947,322,438,156,602,999,155,335,627,926,328,987,311,503,380,934,152,
302,946,561,782,941,362,721,406,888,861,914,230,545,954,572,891,422,996,468,
217,664,067,838,232,590,517,155,188,797,549,218,682,499,214,949,720,562,272,
336,846,394,675,803,461,788,047,892,782,776,863,519,669,413,866,076,443,266,
044,578,855,555,234,754,644,661,332,682,227,198,925,141,465,417,689,416,555,
608,580,781,420,470,096,090,406,038,580,476,378,909,728,336,815,743,754,648,
527,790,814,364,048,218,643,099,931,792,321,620,975,492,317,924,585,110,179,
753,522,012,479,701,507,722,801,022,160,037,716,750,225,714,666,510,620,954,
379,102,514,451,213,790,084,348,258,489,060,786,490,276,061,536,402,737,884,
350,915,232,883,090,307,652,654,673,968,773,725,742,169,238,100,430,545,971,
932,177,496,442,508,850,946,297,024,050,083,451,418,615,007,662,655,213,053,
282,771,612,312,242,077,873,295,369,475,254,599,784,151,771,563,004,633,377,
743,710,613,505,513,464,338,395,003,625,415,937,415,945,085,906,879,690,089,
837,751,656,275,899,219,842,375,772,897,775,708,483,218,536,414,246,101,501,
577,413,441,131,310,850,549,785,272,446,188,380,517,753,522,282,116,089,438,
979,860,927,891,238,767,632,354,082,329,245,367,779,871,881,904,601,660,594,
688,593,585,688,654,294,710,623,215,699,286,649,748,112,752,723,243,162,159,
163,661,772,545,506,002,708,093,426,786,260,993,312,979,488,599,964,130,983,
022,603,847,200,254,787,108,661,389,072,002,690,971,805,015,224,046,139,323,
375,072,064,178,969,732,345,988,650,111,075,347,274,981,833,861,767,953,264,
244,469,200,652,430,479,648,272,163,721,455,220,123,708,788,009,678,612,076,
193,579,870,529,828,002,524,562,895,024,711,685,421,221,718,175,813,482,917,
836,237,064,637,079,902,860,805,757,227,864,410,781,920,728,554,482,023,482,
547,111,409,471,935,738,655,040,191,478,398,544,098,840,101,217,936,217,639,
616,453,364,935,308,748,970,489,117,720,139,893,429,904,091,666,231,333,646,
630,874,890,371,152,874,949,445,692,567,508,441,140,194,138,034,995,519,651,
387,095,314,698,021,951,189,019,420,301,516,947,398,696,608,797,623,271,764,
356,807,312,971,650,864,323,578,819,939,831,806,475,930,386,320,834,586,918,
015,129,203,869,198,867,305,439,093,382,458,421,178,675,504,484,774,692,662,
558,491,940,014,124,012,962,259,926,047,845,144,171,689,093,782,584,195,001,
911,750,815,994,273,636,669,911,369,622,561,069,251,941,014,666,266,098,662,
052,664,001,314,534,161,208,464,654,924,465,560,974,044,102,932,688,402,727,
974,151,781,871,785,601,847,028,347,277,105,683,632,113,810,880,225,267,355,
696,550,316,722,524,468,939,935,559,251,604,659,837,916,670,216,759,904,347,
101,151,372,297,186,416,948,649,063,466,717,797,875,197,851,120,766,142,489,
894,530,971,087,986,993,213,881,625,098,750,653,886,452,328,938,528,175,669,
818,381,626,238,162,561,422,902,845,229,390,081,556,577,622,045,019,255,916,
473,948,134,343,402,008,775,225,922,886,850,546,934,445,232,831,865,413,825,
858,431,822,585,687,911,410,770,685,389,796,761,338,110,075,654,468,361,016,
026,218,747,345,943,661,378,169,174,595,136,367,559,448,827,530,373,152,926,
589,807,037,362,324,128,549,971,619,161,557,206,723,674,833,079,889,769,701,
440,448,788,535,364,402,010,382,253,221,097,585,500,027,743,147,372,170,351,
191,020,029,186,655,729,060,431,201,745,335,049,835,623,323,995,906,350,684,
461,925,413,867,706,499,409,183,003,505,717,847,938,669,801,694,005,691,355,
513,730,032,780,630,648,538,122,839,276,950,551,772,436,787,565,867,673,782,
484,988,967,558,810,956,097,415,009,959,477,151,957,863,913,776,337,469,610,
010,346,006,981,213,760,977,495,776,043,429,418,415,589,706,176,039,782,068,
213,380,861,740,233,756,962,278,055,957,695,601,538,484,378,799,379,251,354,
113,925,513,038,967,317,495,791,365,190,121,847,149,156,898,731,103,550,121,
737,214,200,544,615,539,965,226,611,338,425,706,394,818,448,149,453,862,460,
656,286,454,995,936,578,006,426,615,119,467,851,076,116,779,295,661,125,507,
039,587,625,492,200,742,974,062,228,980,393,905,413,295,461,553,158,888,327,
986,184,870,141,690,116,749,263,553,320,991,240,854,325,982,273,551,375,285,
252,985,037,442,253,739,162,866,093,689,209,756,723,745,618,335,816,902,223,
665,026,925,819,034,256,103,254,951,042,369,977,584,944,782,624,101,237,957,
756,023,519,214,286,935,402,975,416,958,592,383,807,491,147,272,297,389,458,
925,673,090,817,885,605,805,904,087,769,109,602,836,595,485,972,808,160,222,
006,096,281,388,278,895,728,766,043,486,544,788,253,966,356,238,199,173,866,
741,027,831,321,672,601,052,475,035,064,542,189,489,847,861,721,278,378,728,
738,022,188,102,284,520,764,260,690,578,941,373,676,564,551,828,797,489,353,
558,183,008,765,951,507,957,641,379,419,624,273,010,540,951,892,415,864,182,
023,124,150,903,754,357,397,221,072,774,200,791,141,186,544,999,019,494,199,
256,979,122,556,429,132,237,261,254,778,603,713,541,272,995,940,346,741,751,
687,073,514,723,027,086,766,279,951,662,245,641,308,907,265,624,990,010,333,
035,636,420,078,860,189,607,786,973,187,015,940,520,028,282,432,786,006,460,
814,762,568,807,743,916,850,729,727,981,685,051,499,295,691,290,666,787,511,
532,565,365,928,098,667,658,932,667,715,540,489,391,067,019,527,667,354,524,
480,560,164,386,162,701,438,361,351,881,356,298,223,839,026,470,246,205,975,
715,157,645,274,099,900,720,582,352,344,063,576,356,853,323,668,769,796,823,
299,391,518,976,463,208,044,972,116,738,573,162,488,811,691,666,315,053,545,
980,291,906,725,134,503,256,487,929,033,893,939,695,363,261,307,530,427,077,
336,940,511,608,718,109,283,710,240,110,201,884,904,614,444,716,011,718,930,
015,162,272,040,291,058,991,343,402,735,289,093,239,683,489,360,710,163,441,
431,300,184,556,249,269,158,051,900,774,288,579,922,520,807,572,917,321,165,
626,584,403,144,607,071,331,086,851,768,018,638,428,788,679,552,616,750,155,
996,891,900,519,409,746,324,717,203,087,886,223,176,275,184,197,613,938,375,
943,484,395,621,763,542,805,776,467,869,771,879,583,692,868,437,389,586,228,
826,003,401,616,973,916,951,789,128,901,898,370,174,405,557,541,970,847,825,
219,398,967,973,637,788,459,689,131,736,785,570,572,389,352,983,164,682,905,
503,670,543,010,680,913,885,076,209,304,175,336,083,863,788,052,148,424,177,
359,101,198,264,079,103,924,959,784,744,794,401,827,587,111,233,701,674,887,
354,830,750,809,133,937,550,620,297,811,492,747,301,425,007,830,683,468,720,
080,923,719,515,119,833,630,058,840,762,950,806,616,803,220,955,577,593,924,
952,317,546,023,551,938,491,322,335,160,235,322,354,440,692,559,470,321,067,
513,003,715,447,430,946,877,006,232,369,000,993,760,252,204,427,691,750,642,
396,294,775,402,363,193,038,288,134,499,475,830,122,288,851,117,415,455,687,
163,216,577,191,675,610,314,591,881,542,268,447,450,382,079,788,340,148,139,
657,403,657,850,789,654,178,887,775,711,619,944,384,673,445,936,794,286,710,
623,174,177,796,640,376,649,228,913,036,201,392,317,359,790,706,547,060,356,
043,626,710,511,007,004,029,458,088,665,347,937,008,010,530,059,389,202,247,
166,865,379,640,358,276,447,888,890,633,749,434,887,469,850,452,706,758,922,
889,809,433,573,550,658,408,246,846,731,938,724,608,602,025,738,538,850,788,
363,633,453,579,054,193,619,514,378,783,980,834,714,898,980,324,108,530,781,
669,959,788,659,156,727,163,926,024,021,814,265,350,649,630,594,575,041,028,
910,454,950,380,780,530,119,982,611,949,974,017,132,550,456,282,044,866,382,
973,715,510,300,056,713,065,758,521,290,829,349,075,289,667,564,067,655,611,
934,274,010,882,083,605,112,680,160,116,278,748,818,386,267,701,819,496,831,
268,425,098,938,864,567,057,082,941,714,477,680,625,478,739,698,114,051,446,
385,547,559,894,001,855,757,962,867,461,160,487,760,605,962,577,381,058,115,
636,562,686,720,456,621,930,172,057,990,465,929,965,369,448,455,659,363,574,
323,174,898,592,447,624,196,931,527,251,853,420,448,901,135,810,238,861,069,
015,294,329,017,698,944,273,207,246,418,542,835,837,633,189,351,096,840,817,
069,773,609,876,561,366,973,030,928,399,343,674,160,896,482,563,041,233,803,
406,531,043,045,987,354,530,138,703,117,982,913,634,820,184,624,138,045,492,
492,832,023,274,440,364,801,943,086,852,650,309,834,540,484,011,249,341,716,
178,299,744,466,182,219,729,074,913,612,049,927,395,047,812,656,253,648,362,
062,220,615,696,445,352,008,313,291,323,578,199,535,080,772,965,072,688,738,
322,346,781,740,825,130,950,532,850,387,048,946,958,381,617,490,232,467,012,
865,878,427,846,295,993,070,784,023,746,233,824,048,269,893,720,842,914,037,
027,431,982,358,450,615,290,164,085,154,054,245,915,556,406,263,286,125,433,
033,985,096,619,563,285,500,025,624,669,721,475,246,235,320,503,189,677,268,
102,038,020,049,843,567,323,385,797,565,265,576,803,361,733,550,571,889,899,
838,463,780,769,273,632,903,074,913,118,564,375,251,344,040,250,957,212,652,
188,556,941,885,707,526,402,022,241,776,391,650,742,397,048,029,656,745,353,
510,679,024,850,276,583,424,065,048,900,919,014,952,093,063,786,967,223,643,
004,202,080,767,688,076,148,972,889,779,532,026,839,509,786,340,744,798,241,
692,533,704,264,602,641,370,285,976,120,826,915,058,492,765,947,723,358,197,
373,905,179,769,226,840,177,608,056,052,213,777,481,989,604,951,736,286,102,
974,167,701,748,392,019,716,327,871,068,269,408,526,859,493,384,118,673,182,
091,274,359,059,724,821,464,532,520,245,541,421,150,634,805,513,583,219,423,
093,246,794,418,043,677,643,307,768,615,395,123,511,842,212,032,998,085,571,
426,207,322,333,996,046,370,099,701,567,661,605,171,119,764,790,612,426,111,
349,787,899,312,264,292,790,553,973,625,094,584,778,684,252,641,156,752,348,
883,051,876,812,173,580,909,137,629,033,369,243,606,270,542,134,367,877,387,
305,611,011,943,979,803,464,568,452,565,727,670,982,090,708,432,079,693,921,
785,767,331,911,234,138,661,317,025,449,068,075,109,609,971,975,140,973,637,
790,990,835,712,650,604,282,648,643,295,945,446,040,811,683,438,155,967,951,
792,342,480,297,823,402,084,395,618,375,127,308,017,477,583,752,264,481,717,
289,421,342,280,030,376,490,615,227,515,898,692,485,545,720,219,266,824,411,
733,847,612,154,694,423,229,914,951,742,548,841,622,511,460,753,963,884,060,
573,282,542,242,557,481,091,251,691,908,237,878,139,166,633,513,004,480,676,
469,903,303,582,972,778,604,828,372,559,515,368,714,425,761,362,601,302,511,
838,984,154,463,521,388,143,386,788,783,467,995,250,778,047,941,980,414,625,
591,521,848,455,859,225,787,313,283,106,145,393,191,267,911,846,217,572,155,
573,729,013,920,777,129,660,190,065,770,762,774,903,125,774,963,610,137,362,
749,547,597,235,743,273,989,000,349,821,496,446,019,346,859,393,106,069,127,
725,744,195,481,337,683,223,765,208,183,716,278,460,474,666,676,186,335,111,
945,375,455,116,455,218,872,362,013,059,071,909,481,388,964,554,997,407,382,
099,591,555,997,798,654,575,864,523,353,192,604,061,381,908,077,916,128,693,
114,503,387,166,216,712,385,594,778,741,456,638,874,489,166,989,794,781,648,
916,987,878,651,310,545,044,325,049,527,132,466,024,875,728,419,754,802,087,
617,810,264,228,903,521,988,012,961,889,424,222,320,890,145,901,468,889,170,
031,327,183,149,723,008,717,864,016,259,390,241,659,721,865,262,840,938,025,
584,021,567,133,360,979,543,919,123,203,301,058,866,800,014,401,771,412,740,
327,274,922,572,033,260,544,311,042,947,350,894,635,662,500,611,654,743,386,
930,357,028,856,787,948,640,933,664,307,573,391,082,859,224,208,667,268,941,
347,573,339,667,082,551,363,849,345,084,397,342,608,938,578,386,615,026,062,
277,694,217,193,410,604,040,887,245,884,673,602,151,354,066,804,369,755,287,
335,180,611,836,727,934,316,282,011,144,522,623,240,962,350,472,961,908,989,
873,431,528,748,600,591,966,706,595,050,943,937,813,222,284,472,967,086,607,
250,423,984,817,712,566,147,848,542,646,166,455,876,248,608,204,413,138,659,
986,473,187,663,841,060,218,285,586,520,662,015,075,311,972,094,351,246,284,
924,350,539,679,413,905,909,164,496,371,760,372,760,441,449,234,462,611,857,
788,402,757,368,418,232,572,730,970,007,934,909,133,549,677,401,777,882,827,
023,082,001,596,885,803,593,081,511,991,987,615,705,449,922,727,165,189,597,
202,871,612,938,931,115,275,046,744,752,063,954,877,218,001,233,202,932,065,
437,589,527,320,411,888,009,047,074,773,020,799,630,841,232,804,010,865,261,
816,595,148,967,243,584,168,303,411,149,790,916,099,114,301,596,659,135,036,
321,162,474,341,534,998,796,269,163,849,916,396,001,556,185,880,290,731,726,
972,397,186,678,215,236,639,535,327,333,179,855,131,704,044,685,241,303,353,
941,535,252,420,294,598,104,646,826,010,222,102,276,126,990,604,983,117,643,
813,093,357,775,232,677,141,396,113,873,385,560,314,331,949,578,319,190,137,
424,346,063,364,625,841,351,298,101,197,773,253,988,427,754,143,544,673,983,
892,562,881,785,304,482,984,980,596,309,083,239,930,527,927,229,556,835,710,
514,246,221,322,020,197,321,969,729,990,403,384,131,037,714,077,734,354,355,
640,448,964,905,422,607,143,968,706,607,392,730,292,051,677,615,134,711,213,
592,767,893,793,578,701,657,423,910,348,908,453,999,036,138,458,415,881,625,
193,881,289,010,344,677,381,409,825,189,396,904,105,932,695,041,739,093,624,
938,493,624,750,977,484,879,726,492,712,429,757,597,794,520,508,330,399,745,
733,924,620,138,533,422,571,004,346,790,654,096,711,210,771,460,443,219,351,
199,446,828,261,013,093,108,256,790,325,705,060,847,722,079,646,274,751,228,
783,377,764,183,614,109,031,993,722,127,565,189,458,169,084,991,954,993,768,
607,096,611,177,293,836,010,929,864,526,052,008,026,698,963,949,726,301,058,
771,328,967,822,718,999,464,518,507,311,942,143,590,883,913,082,459,911,916,
324,255,435,580,654,092,178,262,709,340,201,572,577,456,322,608,055,120,716,
277,960,499,523,552,389,929,465,788,030,117,716,351,114,696,006,627,610,287,
125,498,098,894,189,145,609,178,963,280,239,229,514,678,996,139,817,551,862,
373,060,971,192,659,399,372,918,294,028,605,003,501,355,996,658,603,549,031,
132,046,745,545,394,008,504,840,879,421,520,069,945,372,375,082,012,555,117,
725,105,023,815,958,305,814,021,129,941,487,745,487,130,065,550,987,316,638,
710,274,064,251,974,987,176,562,425,361,408,608,477,055,312,262,766,636,890,
529,513,542,259,703,146,736,460,152,244,546,364,224,113,260,071,393,690,191,
623,050,422,650,961,801,630,157,299,604,659,653,673,017,073,316,278,812,003,
616,941,944,687,968,553,460,203,486,596,010,240,582,788,554,202,130,288,893,
146,319,400,931,925,816,853,869,236,195,888,736,791,139,653,392,091,003,063,
607,819,503,650,025,151,393,812,172,881,299,709,686,617,215,164,658,657,641,
994,561,210,759,387,601,313,072,397,788,271,564,398,714,907,957,728,714,050,
168,074,579,414,088,718,938,909,585,770,181,956,261,666,472,043,288,768,544,
444,632,571,004,530,903,095,657,651,554,533,461,816,663,719,419,951,403,878,
088,331,496,344,454,629,927,948,906,258,608,645,546,050,573,087,351,108,276,
609,564,665,302,114,776,444,373,416,691,272,422,168,567,878,643,971,644,814,
654,133,105,480,674,431,248,553,088,860,165,832,900,872,562,715,050,744,770,
793,532,291,047,218,829,942,107,895,984,482,224,648,193,630,700,055,591,555,
344,674,057,325,125,314,123,676,458,331,395,922,857,840,602,425,586,113,093,
717,188,489,140,968,154,395,301,776,633,778,473,409,042,868,258,998,612,307,
673,016,617,746,682,354,485,180,713,762,136,025,630,122,578,340,420,919,526,
484,807,497,224,835,212,129,791,712,787,136,912,050,915,234,160,494,599,464,
533,714,338,543,865,955,981,776,160,827,644,287,289,422,749,928,159,186,886,
601,672,968,609,880,722,657,876,437,557,359,923,207,865,300,890,398,560,774,
732,157,403,753,641,523,446,423,220,774,745,211,346,277,703,302,708,302,848,
318,696,140,957,768,995,118,520,694,121,235,393,505,155,175,549,506,253,696,
469,448,582,651,037,586,896,877,001,540,066,591,805,850,670,438,035,393,679,
435,343,204,256,980,976,332,835,768,971,632,559,623,240,234,983,508,337,112,
257,984,548,032,462,399,920,119,843,800,218,715,745,594,291,102,234,180,426,
579,350,293,164,167,132,919,148,112,402,926,859,017,085,002,318,515,022,820,
313,202,955,847,465,146,382,552,767,188,790,638,736,224,451,017,531,719,452,
681,704,753,004,173,479,402,047,911,520,116,726,902,035,462,938,086,159,565,
340,343,835,379,538,087,708,248,331,811,331,485,242,013,875,298,313,023,417,
469,325,494,350,281,067,161,259,201,699,276,768,508,939,379,937,272,280,526,
453,377,032,204,361,272,740,044,089,438,701,784,992,838,976,304,072,476,508,
375,698,332,832,718,914,942,871,476,815,768,983,975,419,994,351,052,041,466,
610,188,529,807,969,591,903,265,016,653,045,018,852,539,843,277,357,147,335,
335,076,407,493,196,930,520,048,557,406,865,279,119,359,858,076,591,048,288,
839,843,615,218,738,917,548,650,610,531,095,962,826,127,827,666,896,971,730,
980,462,110,492,285,235,087,744,102,512,499,577,014,131,628,196,655,051,995,
290,153,994,699,656,180,361,339,480,408,079,168,783,522,939,648,012,100,094,
050,484,746,518,120,769,244,876,451,782,424,939,397,580,834,870,444,468,292,
847,277,152,041,697,305,815,748,731,853,763,169,799,524,760,605,245,196,526,
852,055,454,594,276,613,645,657,258,900,837,035,943,014,843,303,427,966,303,
400,016,755,878,056,110,589,032,685,371,708,195,095,808,056,101,836,174,829,
789,752,451,536,843,949,710,615,240,753,359,289,304,114,501,546,382,950,361,
370,990,937,711,514,038,482,535,320,673,262,917,030,585,845,917,723,593,992,
790,159,918,500,949,149,289,015,461,150,771,766,769,681,010,710,215,093,651,
710,184,258,393,033,826,813,294,216,183,590,514,406,287,921,174,600,333,038,
417,542,472,801,867,817,597,589,633,065,802,896,430,773,180,953,256,587,606,
592,491,524,048,128,726,218,059,869,358,769,778,648,280,886,741,595,649,961,
831,789,056,326,883,672,333,285,452,799,320,485,492,514,474,680,935,819,166,
419,336,770,439,120,973,213,646,240,505,076,093,882,362,160,736,059,086,308,
917,755,143,695,255,027,136,582,070,800,096,579,855,271,980,527,672,014,153,
508,600,738,996,661,623,191,963,911,401,424,095,837,032,338,217,744,209,708,
614,856,558,107,648,741,191,461,535,526,888,943,449,047,160,441,193,269,059,
188,166,143,026,078,539,196,546,552,622,312,959,388,945,672,501,979,667,276,
741,021,486,180,364,530,237,919,909,674,285,893,954,285,771,519,603,391,236,
966,315,824,224,501,437,431,214,542,079,687,660,729,072,750,985,255,202,057,
278,027,636,425,590,922,671,840,382,607,858,345,678,377,114,527,655,891,969,
725,971,580,586,231,021,280,508,670,498,589,865,035,551,729,524,852,906,563,
381,711,502,917,240,244,402,370,305,285,930,354,785,011,360,217,180,889,947,
028,275,245,600,391,506,020,060,496,131,085,854,785,264,639,251,118,093,696,
240,352,456,572,964,057,685,459,015,967,520,470,483,360,238,851,084,880,234,
347,227,568,595,036,633,384,287,641,998,606,637,962,089,342,227,424,499,836,
912,976,822,718,777,156,891,353,381,617,591,637,973,436,287,608,543,540,577,
133,957,095,144,291,066,618,166,383,674,068,991,444,771,910,938,554,708,382,
702,153,708,898,395,356,122,190,428,213,196,363,230,529,485,337,666,645,147,
833,911,062,419,029,321,899,837,004,244,309,923,297,085,399,744,436,050,550,
505,161,259,693,219,831,800,133,702,048,546,354,544,157,284,454,175,174,237,
563,544,803,845,194,472,480,007,357,791,682,896,524,966,414,205,981,661,157,
173,198,811,314,436,754,932,497,194,182,064,452,831,703,043,682,379,335,361,
095,408,617,165,529,503,895,525,061,229,847,204,680,348,011,261,962,238,139,
829,403,781,888,192,998,608,046,500,960,253,516,294,180,565,409,894,641,687,
860,341,316,060,769,155,727,316,549,757,193,980,163,803,399,565,899,424,161,
223,579,555,099,156,621,037,575,428,275,596,153,198,120,896,949,772,669,436,
196,310,609,521,133,170,000,830,978,117,877,601,601,576,687,736,739,867,929,
495,898,568,831,195,548,878,435,024,340,909,306,979,485,497,536,309,177,618,
987,120,902,089,455,296,429,054,763,301,607,556,827,151,789,410,547,214,013,
165,140,978,760,106,137,924,479,917,613,770,957,555,539,262,311,413,019,775,
475,043,660,740,472,911,843,295,309,906,211,270,513,901,756,159,531,668,561,
856,209,831,260,141,113,486,792,428,705,492,523,130,688,605,470,470,283,982,
602,791,469,534,777,405,915,747,427,292,140,275,152,123,298,407,590,531,617,
583,572,601,376,483,181,157,201,914,147,731,724,095,080,490,833,460,253,075,
197,888,047,367,375,499,282,922,458,827,183,558,460,726,689,232,355,502,409,
496,942,690,388,464,348,568,233,674,038,097,340,249,699,180,133,823,901,875,
402,585,736,032,091,486,278,401,237,762,445,908,453,032,216,947,836,565,437,
488,314,821,751,082,147,574,760,822,420,488,857,835,283,592,704,535,656,988,
150,753,914,002,951,750,163,965,970,048,698,771,557,838,747,906,473,505,345,
116,681,774,965,583,500,525,101,703,682,413,413,721,092,094,239,433,064,252,
497,110,973,489,022,301,686,146,643,709,536,233,236,179,522,391,414,279,469,
622,319,154,085,768,679,578,762,229,423,405,823,780,042,611,488,603,783,830,
786,593,244,398,838,431,084,418,900,095,094,320,660,486,870,591,739,907,216,
604,712,414,122,263,401,058,312,143,242,532,764,738,080,319,526,888,789,670,
284,436,847,688,212,829,256,011,681,886,339,557,304,162,287,128,947,319,227,
758,125,409,924,732,414,944,888,699,063,999,877,354,028,924,881,768,549,043,
261,286,847,526,047,061,856,138,425,888,600,613,555,502,808,876,833,354,823,
486,367,905,662,339,319,495,255,639,797,129,413,597,514,796,670,576,981,979,
952,695,570,051,456,228,016,787,902,793,072,527,218,393,792,749,189,576,869,
483,964,699,462,069,895,043,428,066,245,562,719,031,997,563,321,318,806,213,
918,541,927,973,094,248,266,035,032,352,612,237,689,144,040,111,210,346,689,
525,243,905,497,982,768,283,361,676,462,931,686,684,161,126,417,392,523,966,
748,949,845,792,178,433,614,106,292,114,785,448,646,387,193,691,827,680,604,
609,204,498,488,875,777,356,740,874,179,486,813,580,841,535,013,320,670,677,
713,512,210,280,047,818,113,700,853,770,991,328,216,324,157,410,157,186,880,
242,267,351,499,316,712,052,526,937,087,626,552,763,496,036,344,288,913,458,
755,040,449,863,839,701,921,750,714,188,087,937,369,995,719,130,999,132,303,
419,745,881,893,424,365,517,194,236,044,859,785,188,938,573,915,819,358,275,
198,538,742,011,213,471,806,186,806,580,097,458,094,870,324,868,579,781,538,
847,415,794,774,114,663,337,621,993,616,915,953,279,161,329,620,566,347,363,
930,206,872,989,693,496,689,247,840,459,077,115,160,290,362,358,054,441,476,
695,780,487,141,206,548,801,260,562,375,860,464,775,939,993,605,410,723,617,
511,265,569,023,740,883,438,540,289,303,673,667,608,876,843,037,552,128,640,
588,193,592,052,862,271,060,087,975,067,624,053,488,031,907,279,794,725,595,
980,670,431,015,758,332,278,654,239,922,209,848,654,294,906,440,163,344,456,
566,130,952,994,702,327,811,059,335,116,724,781,751,222,270,388,559,056,660,
342,880,156,889,097,424,359,773,114,802,643,254,644,012,667,440,122,790,218,
832,839,287,245,479,824,442,492,261,121,648,571,715,187,829,798,876,382,329,
232,580,358,400,110,929,458,323,974,489,104,890,980,590,841,043,032,969,540,
686,097,040,783,712,898,985,998,545,094,803,818,952,560,767,139,015,466,306,
899,776,525,685,675,643,046,396,303,204,592,247,362,010,263,736,174,543,551,
094,872,638,796,033,244,616,024,937,139,538,552,393,429,568,294,507,512,174,
128,684,840,817,549,336,465,211,183,907,605,654,363,988,944,919,034,049,236,
549,367,180,640,755,041,895,387,912,139,122,438,360,717,445,478,703,735,866,
369,017,003,696,616,771,193,489,862,386,427,158,432,495,100,003,847,839,756,
319,680,009,358,894,083,714,904,114,055,179,253,995,921,422,689,393,302,487,
064,893,147,975,140,534,796,689,153,501,450,905,551,959,841,817,802,845,288,
103,495,592,526,279,523,206,952,867,323,119,746,913,536,362,243,797,079,204,
555,179,647,445,460,128,691,475,114,847,319,625,403,092,540,828,693,752,549,
131,457,910,311,176,150,254,028,365,672,504,310,128,907,334,344,057,564,969,
417,550,962,255,897,773,646,439,428,974,851,878,879,165,769,075,573,376,608,
877,813,059,584,336,099,401,686,384,757,403,978,504,275,418,682,680,171,571,
008,170,006,053,294,841,497,790,265,922,706,260,600,788,659,220,430,064,264,
150,279,017,412,740,191,620,531,348,924,710,679,029,140,975,303,874,521,255,
510,723,865,107,425,651,959,729,445,014,488,284,411,422,785,015,712,824,247,
661,711,762,922,640,931,200,751,110,212,184,793,091,983,464,317,437,677,531,
730,380,090,635,182,307,279,973,641,858,071,740,867,179,157,108,634,421,323,
301,413,858,693,132,127,982,165,160,684,095,367,225,707,549,128,693,896,306,
280,620,538,897,118,093,726,965,437,537,352,407,666,926,613,369,239,804,933,
852,639,863,131,339,137,149,398,153,289,736,480,707,352,132,866,192,386,501,
401,202,551,603,690,186,093,159,149,735,192,292,536,379,030,855,458,955,819,
398,001,957,306,150,903,068,387,774,598,408,858,458,251,292,735,455,903,758,
341,928,075,558,984,907,068,014,311,563,767,875,826,893,743,496,747,537,492,
278,823,520,899,027,254,616,109,069,111,732,225,747,048,959,388,629,413,704,
682,746,082,474,425,656,320,079,789,290,547,415,301,853,587,443,476,387,637,
786,256,247,508,195,007,941,214,935,646,315,277,268,607,066,021,392,129,830,
434,407,778,760,796,018,341,809,593,289,772,605,441,263,626,647,078,006,938,
726,874,061,053,688,648,112,768,452,368,311,129,723,533,513,913,408,702,957,
942,536,742,071,294,283,581,037,699,507,012,869,679,243,175,376,514,058,698,
217,576,081,577,700,158,085,409,276,184,022,902,045,902,878,783,286,701,816,
566,306,151,223,353,216,574,026,335,868,358,315,825,839,977,995,062,447,240,
054,036,728,790,531,113,183,705,196,735,845,340,569,097,165,327,359,417,117,
115,776,699,919,036,002,567,547,021,726,107,443,507,390,227,283,851,578,618,
082,523,127,017,622,492,662,794,093,281,352,978,335,286,228,265,304,482,430,
151,862,758,853,316,931,857,398,741,870,132,077,770,582,089,101,231,023,290,
371,744,584,572,136,943,517,870,438,464,294,478,692,587,526,265,848,443,874,
373,501,834,016,165,155,663,245,385,518,517,285,248,186,927,357,763,839,600,
960,122,886,754,677,787,971,825,144,586,969,660,948,556,071,552,975,123,692,
754,934,528,037,598,179,624,870,728,751,483,874,223,810,319,429,140,822,373,
106,151,200,550,142,905,050,830,134,211,473,756,506,046,119,449,938,903,362,
807,838,540,522,722,716,456,437,080,361,256,890,908,987,212,211,655,360,371,
735,152,095,389,746,245,537,450,508,446,132,195,880,020,772,934,446,572,738,
638,269,950,186,789,607,994,494,304,786,029,741,369,540,985,946,549,338,717,
630,368,432,000,494,174,927,324,698,439,262,937,838,969,695,522,718,771,598,
913,759,797,046,055,716,014,951,335,253,139,564,081,984,871,710,666,549,478,
588,838,014,756,322,453,333,911,765,736,657,346,022,212,818,780,253,159,364,
892,048,127,771,871,553,509,346,946,425,008,495,379,353,832,109,911,494,802,
777,207,096,124,436,682,085,691,462,252,821,556,419,197,504,413,059,459,777,
495,805,662,596,747,238,002,283,093,410,067,192,511,873,874,089,008,569,568,
313,254,668,303,347,237,092,601,008,776,422,272,735,376,319,270,484,469,324,
574,454,456,251,183,278,558,728,797,028,912,276,684,184,445,138,609,284,866,
962,289,064,615,840,658,295,462,780,648,312,501,796,245,563,618,293,052,611,
077,910,149,168,021,079,171,792,254,633,517,282,250,098,415,452,036,300,368,
498,699,382,430,396,673,625,201,223,341,414,278,769,649,874,585,926,382,189,
474,718,663,469,528,374,200,693,812,896,963,042,765,572,160,499,561,742,448,
966,846,797,629,787,675,232,532,660,564,658,272,075,921,527,827,970,750,880,
204,684,238,459,408,553,402,159,377,129,254,587,860,948,732,939,210,132,422,
724,146,002,159,098,073,008,043,108,715,429,581,620,945,418,423,172,125,951,
014,442,530,784,846,241,275,083,251,469,655,046,033,273,074,627,712,516,892,
898,184,186,218,349,954,161,781,335,537,322,294,399,883,547,133,910,020,967,
091,050,964,737,908,591,546,973,793,022,654,842,644,544,963,210,550,315,333,
009,971,837,498,690,787,015,366,548,067,509,055,739,458,085,936,866,215,674,
171,865,140,478,147,079,214,119,040,503,920,552,772,920,399,641,978,959,399,
082,473,226,438,207,834,812,499,462,428,216,584,254,185,516,152,264,053,414,
803,973,453,325,831,091,783,620,285,846,503,323,491,575,942,342,009,031,725,
989,759,971,088,930,926,685,731,235,053,425,553,493,506,429,496,679,972,811,
093,294,910,866,682,497,108,186,857,919,955,194,337,134,014,200,617,136,265,
998,234,175,630,355,389,591,079,471,484,827,648,755,015,734,559,612,048,312,
026,929,110,989,366,335,151,914,630,794,480,402,310,987,761,512,377,501,480,
028,836,943,108,214,912,887,404,602,350,993,936,005,062,308,738,112,798,385,
708,203,440,613,559,102,658,119,040,437,555,298,238,686,837,698,702,018,401,
868,063,314,494,450,131,328,000,888,856,243,267,803,475,527,278,176,837,649,
339,629,782,998,645,321,479,831,502,425,133,231,337,094,849,474,456,585,387,
823,778,390,028,817,432,068,812,819,968,326,733,142,466,130,355,517,515,308,
906,502,694,462,112,081,629,588,673,304,468,384,433,414,220,458,581,072,184,
389,821,768,829,977,017,503,430,320,228,200,248,959,466,010,393,341,079,092,
526,654,372,994,605,117,995,905,106,015,328,151,301,017,347,555,807,761,244,
521,670,572,203,415,929,553,909,155,587,965,534,397,834,258,821,814,087,534,
774,475,268,690,813,206,841,498,253,485,677,650,928,509,659,918,043,199,250,
653,424,668,586,352,368,567,874,481,015,984,195,675,434,684,851,253,372,520,
370,787,427,622,906,876,754,470,180,470,626,826,292,572,174,824,112,504,567,
635,159,538,132,554,194,843,456,583,741,114,324,909,932,526,762,145,402,509,
740,590,886,470,336,233,289,571,098,976,715,485,302,073,368,981,999,676,314,
827,744,984,458,355,151,195,658,075,102,030,502,700,294,202,643,904,542,500,
605,551,703,579,035,452,801,762,056,042,722,013,417,992,662,094,996,503,726,
347,021,901,558,235,325,702,383,447,760,135,402,225,922,807,350,755,930,970,
554,387,878,673,282,936,730,287,186,462,590,061,586,368,174,941,211,879,457,
904,365,190,359,143,803,000,494,608,906,998,084,525,031,809,021,273,368,914,
674,942,351,106,635,549,267,720,517,034,956,659,043,437,161,067,234,975,625,
920,520,303,239,421,470,650,880,180,351,257,958,838,267,791,878,255,150,987,
468,822,012,849,439,875,326,125,513,870,709,621,428,122,317,056,794,439,054,
735,132,476,304,151,983,811,894,152,986,398,691,711,371,257,111,180,223,367,
607,911,005,503,321,431,670,742,810,521,394,701,982,133,052,823,008,198,562,
151,323,618,603,785,647,305,277,779,802,807,261,481,309,550,982,797,776,318,
153,823,498,110,147,339,495,705,246,012,468,366,714,791,652,529,366,499,820,
722,616,571,299,705,170,183,261,456,566,012,177,351,679,322,505,942,882,928,
733,017,632,985,740,697,841,507,400,565,368,407,408,976,154,172,902,405,335,
426,242,075,734,598,105,740,523,195,769,163,456,801,749,704,268,922,557,371,
320,572,550,240,503,959,638,646,060,566,072,094,873,353,517,752,497,201,386,
269,686,407,471,315,342,240,837,607,101,700,570,778,738,940,217,465,932,613,
950,274,506,475,661,616,574,507,695,126,042,958,784,213,365,692,782,213,289,
598,460,287,874,801,399,673,602,235,716,291,246,272,820,582,876,930,270,556,
500,200,909,905,204,818,911,324,883,245,207,473,812,898,706,130,941,156,744,
799,818,346,135,036,518,061,051,353,636,549,533,687,210,202,022,143,213,796,
995,174,787,063,464,806,603,438,083,346,000,552,322,975,260,710,908,587,652,
787,777,503,254,852,166,991,225,666,085,949,051,115,916,787,961,169,899,922,
464,398,234,195,952,975,609,916,391,908,909,001,846,745,452,559,710,534,165,
520,357,906,373,044,458,136,832,217,915,207,383,842,068,924,838,161,059,527,
735,130,745,704,682,208,771,164,907,272,170,546,267,550,793,016,490,942,134,
636,811,951,466,363,568,402,263,126,092,823,775,364,892,085,085,948,420,987,
016,062,743,477,345,491,115,397,091,939,680,419,340,718,315,420,313,397,970,
843,598,506,465,575,132,152,066,633,322,673,149,212,291,441,862,248,371,311,
504,239,287,250,951,520,536,338,551,306,196,150,387,958,440,000,351,183,088,
317,987,868,530,894,743,765,198,213,764,210,759,311,250,267,721,989,990,446,
667,758,614,577,891,564,722,706,337,989,556,172,548,068,164,376,543,812,738,
208,087,696,171,816,567,697,134,493,414,770,268,759,136,972,572,836,644,022,
502,603,189,896,177,415,555,868,085,839,557,532,774,035,925,377,043,950,624,
622,451,647,331,298,265,000,342,697,611,050,566,286,617,515,429,138,133,658,
579,689,777,779,629,120,106,433,128,531,965,940,857,150,106,562,983,110,198,
129,143,143,229,747,850,559,236,633,335,320,676,098,417,712,247,397,012,973,
358,638,904,660,426,312,749,588,193,399,242,103,163,669,103,973,122,344,677,
122,049,684,648,862,074,492,368,978,829,211,209,548,719,857,212,667,171,459,
848,506,019,065,105,099,081,925,017,018,103,153,544,217,511,413,214,613,666,
715,406,259,166,106,546,664,313,237,154,144,820,259,296,192,255,452,757,206,
521,757,856,464,665,697,992,550,368,275,854,223,340,276,638,039,346,270,154,
741,536,405,611,233,533,316,887,443,194,085,945,734,454,623,288,176,698,720,
117,411,009,979,513,418,417,996,349,962,095,622,184,920,150,706,284,929,498,
650,825,226,864,360,859,193,984,181,123,458,450,419,659,644,371,292,471,731,
684,938,433,663,922,341,096,377,365,076,656,931,297,450,860,810,796,138,310,
586,540,945,734,582,944,802,550,389,637,063,659,913,108,353,608,120,344,600,
258,478,517,736,629,262,759,786,245,367,657,400,296,935,206,103,299,501,167,
236,996,550,244,834,383,194,682,973,998,656,309,280,882,995,929,530,051,621,
168,673,433,033,385,250,795,550,495,022,038,482,652,950,205,517,006,906,147,
544,301,464,519,425,616,874,878,497,356,181,787,277,139,682,664,363,067,753,
569,695,054,013,927,162,966,740,762,469,907,962,020,801,287,072,182,436,842,
135,258,352,751,115,805,879,106,606,164,592,640,328,015,636,562,207,686,674,
770,855,372,780,209,815,674,150,701,110,829,661,402,399,963,218,640,950,309,
099,213,065,903,045,059,720,986,283,425,075,080,123,730,049,712,224,021,765,
671,480,669,806,343,794,391,883,746,766,476,263,476,211,081,349,838,380,953,
751,184,271,610,183,474,344,404,790,839,047,077,516,137,460,035,805,785,546,
024,816,124,032,247,464,895,544,465,970,643,610,943,905,279,165,136,105,042,
599,425,246,162,379,360,129,502,266,680,561,594,644,140,754,238,091,405,937,
298,408,413,369,832,179,434,489,865,941,365,882,118,801,212,166,879,666,838,
071,901,522,644,439,756,268,339,275,808,429,296,490,065,866,884,456,091,605,
355,916,534,590,875,144,597,432,988,345,546,781,996,569,287,694,902,415,863,
599,889,616,171,580,174,972,978,798,016,295,810,058,782,361,746,514,747,966,
595,173,507,878,143,340,384,377,685,373,729,515,530,455,275,352,248,047,148,
649,736,983,004,422,506,771,956,162,328,486,351,122,294,757,652,465,838,896,
683,193,096,840,861,478,274,801,256,591,467,690,380,334,613,682,918,057,027,
918,139,481,260,559,928,205,160,382,159,438,093,302,978,024,509,535,575,355,
837,146,069,920,770,453,952,994,242,611,678,654,524,473,244,377,869,567,404,
312,645,776,929,013,537,525,105,143,419,870,013,598,260,877,190,067,482,352,
424,718,497,493,767,716,981,159,476,944,226,979,773,876,688,699,353,348,422,
659,199,386,418,208,002,845,785,835,689,625,271,695,297,685,679,596,756,660,
743,366,113,786,346,190,525,561,202,656,508,828,325,111,471,331,616,449,381,
888,130,416,743,967,737,154,144,761,402,321,591,813,514,662,859,860,570,346,
464,081,886,476,160,201,484,564,382,870,573,892,797,621,013,878,507,102,118,
711,690,558,926,370,658,719,506,904,094,076,182,018,040,070,543,359,364,495,
476,104,745,853,090,253,500,962,768,534,529,496,011,836,850,269,769,075,386,
598,895,692,501,765,308,519,243,638,346,403,673,639,902,339,779,580,836,610,
927,615,975,655,818,350,123,697,357,195,370,307,340,689,227,226,710,630,063,
336,321,793,747,470,730,250,361,551,600,934,811,450,286,065,506,936,997,249,
452,312,278,287,475,690,508,508,309,882,254,277,928,885,796,843,043,865,448,
441,389,357,106,739,646,639,033,268,633,949,771,395,231,138,607,751,468,076,
200,606,631,157,640,570,213,674,012,088,534,787,419,438,202,016,616,964,931,
301,499,593,301,696,453,597,564,074,065,866,600,046,397,007,278,408,143,903,
731,322,571,135,290,717,883,252,614,530,297,303,913,744,632,254,358,894,058,
495,761,949,011,330,173,822,565,640,661,978,266,687,334,885,363,424,049,760,
030,566,625,093,079,292,080,763,724,426,646,871,099,232,845,246,430,241,849,
110,553,499,899,263,232,450,618,705,033,750,448,711,562,864,184,555,396,713,
897,457,906,520,748,217,201,607,226,614,810,559,230,537,383,229,594,439,278,
574,891,816,498,559,187,709,497,504,501,840,353,237,162,248,979,871,825,129,
377,555,992,573,345,966,849,971,661,190,173,693,141,394,962,869,772,609,340,
128,895,421,593,528,379,708,610,324,180,923,695,480,798,839,379,846,090,264,
825,549,210,088,995,580,623,326,720,509,555,798,886,719,771,640,575,100,893,
108,053,946,346,111,312,555,934,203,638,347,328,477,706,617,094,213,774,854,
790,285,893,432,388,647,543,380,714,282,428,853,032,336,705,561,820,441,358,
711,007,687,965,352,105,497,368,038,661,832,444,626,916,644,860,146,847,086,
540,640,536,946,519,472,495,991,453,269,600,296,124,246,804,046,899,580,891,
554,645,980,264,970,101,110,653,658,114,492,002,005,191,675,062,573,604,867,
784,520,359,458,453,056,452,298,223,846,864,571,091,354,238,503,216,112,651,
334,329,975,396,018,342,129,183,359,076,488,169,660,286,876,205,209,294,302,
263,825,846,883,200,418,033,641,000,415,709,133,539,410,244,046,981,422,002,
764,264,886,358,197,639,662,719,379,002,781,816,877,446,789,766,589,138,180,
754,773,770,169,220,449,614,282,164,030,646,693,946,463,032,819,547,770,610,
315,338,464,890,129,409,000,078,514,997,014,597,744,218,065,197,649,328,349,
042,651,350,645,341,075,461,544,341,661,726,962,214,826,913,014,300,444,522,
667,179,830,500,431,239,330,273,764,422,571,199,206,298,213,078,203,774,700,
620,570,921,275,955,053,104,462,246,462,694,168,016,014,505,309,385,688,150,
565,170,501,060,907,217,595,633,694,516,789,939,502,863,436,618,825,688,452,
787,609,227,182,996,614,632,547,775,819,241,330,603,785,483,241,872,557,392,
845,010,522,058,637,453,072,200,486,253,009,259,591,748,189,047,795,144,065,
873,104,262,902,084,291,250,433,356,413,502,880,776,113,233,490,228,628,771,
413,779,483,904,192,812,761,368,186,288,288,936,421,479,682,832,796,847,552,
294,845,113,675,501,452,817,437,006,135,835,734,248,071,689,784,065,607,152,
336,122,496,108,110,534,134,099,062,283,413,142,711,132,197,459,296,562,281,
048,050,354,971,938,554,170,696,870,562,649,512,185,494,206,342,431,001,311,
942,296,767,124,091,577,596,904,051,174,126,625,454,002,303,042,946,843,487,
445,816,568,466,195,819,068,565,070,315,659,165,144,873,404,727,167,049,710,
867,728,760,574,347,779,134,810,460,990,042,723,363,624,457,841,673,125,108,
857,220,171,739,434,333,526,112,347,207,970,306,014,303,165,477,056,805,104,
421,888,564,351,811,124,350,864,233,452,640,977,961,532,710,228,251,531,209,
396,357,462,124,166,547,228,686,405,429,887,926,330,795,645,845,303,443,918,
632,380,151,221,752,836,628,981,090,118,071,164,022,042,510,875,936,011,786,
667,041,773,799,848,367,116,459,445,541,073,356,455,069,533,045,277,842,452,
170,750,324,418,257,730,229,424,192,918,510,541,082,137,054,518,238,540,932,
741,029,231,464,621,506,956,950,903,946,836,577,084,486,208,868,636,392,706,
603,682,707,155,992,745,581,166,336,242,233,558,934,994,468,100,657,612,768,
539,933,066,808,068,526,090,518,664,928,255,067,251,840,214,810,097,582,912,
394,113,134,808,560,555,838,619,297,656,483,500,636,495,477,899,869,498,593,
174,682,278,956,431,123,732,238,434,976,873,710,823,609,984,447,333,806,815,
945,677,843,353,429,353,257,865,268,850,587,854,975,431,027,870,127,112,765,
479,625,721,633,775,086,122,269,478,856,696,639,556,802,630,825,561,459,141,
032,411,678,791,286,438,299,777,243,106,022,640,845,442,038,598,968,872,085,
347,296,129,333,543,449,921,037,955,179,470,200,271,905,891,260,874,788,037,
444,276,719,669,249,212,793,433,081,424,112,803,970,945,776,628,046,967,361,
457,044,510,913,684,794,503,401,385,939,444,682,353,280,119,324,375,869,370,
283,738,867,049,083,851,363,813,281,802,391,460,038,889,655,791,253,619,141,
195,237,900,583,049,035,371,771,611,277,846,640,356,294,612,405,661,170,170,
757,829,060,312,166,753,380,843,220,093,676,154,571,177,143,896,175,504,780,
268,139,718,446,127,443,450,883,388,586,425,116,656,422,409,084,242,614,040,
878,322,611,500,794,918,547,475,749,269,096,689,216,284,291,760,463,266,364,
476,408,407,924,436,784,768,046,976,428,278,148,680,916,191,188,518,880,058,
815,727,291,118,131,844,063,476,243,632,855,302,388,313,607,308,777,962,953,
543,987,867,217,376,222,383,974,819,725,090,004,752,771,860,630,179,213,847,
830,631,050,781,368,821,204,231,151,656,241,716,652,445,862,567,779,287,624,
417,123,567,439,833,173,656,965,981,342,964,346,087,318,754,559,966,625,106,
818,237,836,356,640,260,063,513,247,386,503,938,025,622,165,821,675,417,857,
447,551,910,199,079,948,894,285,764,746,052,747,014,777,005,844,439,511,620,
279,816,188,018,146,061,249,177,888,566,136,089,265,275,604,644,919,785,942,
029,305,198,657,395,822,156,741,578,889,475,368,741,237,239,278,663,228,027,
344,134,231,585,083,736,650,991,176,726,190,630,318,970,401,252,009,960,269,
438,365,209,691,806,056,612,445,710,953,624,169,781,285,597,341,182,837,420,
359,700,224,348,033,605,107,079,388,943,850,014,768,417,302,666,657,814,539,
536,480,801,327,422,805,333,869,494,944,348,042,951,047,437,893,583,196,195,
159,356,672,051,245,727,361,586,810,052,398,915,377,387,654,445,579,207,859,
373,901,869,646,804,052,225,460,519,670,191,724,422,099,775,321,642,943,674,
085,045,668,728,760,360,440,335,313,628,835,861,721,256,281,223,680,624,354,
300,290,074,963,281,673,188,296,702,457,477,349,414,486,126,619,432,485,393,
493,066,980,540,594,074,616,879,594,997,570,356,428,216,304,249,292,763,642,
445,356,685,705,442,262,463,384,953,367,300,173,395,652,813,508,466,492,647,
241,667,660,186,665,991,724,377,931,864,490,644,829,480,014,467,972,673,358,
054,010,737,785,688,807,008,164,765,258,133,162,749,890,403,713,833,933,702,
032,061,121,979,994,999,195,943,207,255,412,302,157,397,223,851,206,891,405,
571,221,207,246,270,273,079,271,907,024,923,286,954,390,500,425,804,572,528,
708,739,003,866,103,366,496,127,376,069,398,115,570,858,214,179,295,768,005,
780,929,897,147,660,630,081,304,162,012,876,174,742,929,993,780,430,521,742,
188,815,151,402,439,945,570,037,721,518,358,451,752,465,451,128,724,350,214,
939,079,094,730,966,678,198,071,759,031,153,949,026,704,935,727,473,651,725,
359,431,228,975,878,594,815,378,438,723,918,960,177,879,178,184,648,769,431,
923,393,972,262,835,310,957,986,086,213,848,850,194,274,982,789,013,085,819,
202,673,475,256,804,243,850,581,304,706,180,878,826,784,402,410,495,031,461,
650,471,576,526,354,597,417,005,993,257,950,592,200,372,442,897,603,644,088,
064,337,187,014,458,002,651,249,330,688,543,267,857,954,159,039,168,816,586,
783,299,749,123,383,407,142,995,654,227,534,101,182,097,419,353,125,023,122,
516,067,497,859,410,075,979,471,623,897,269,105,079,704,528,751,989,622,557,
030,552,900,915,589,211,225,449,192,892,498,082,378,182,015,958,542,409,457,
554,119,545,321,829,819,167,913,285,346,237,330,285,100,036,235,077,878,380,
158,632,471,554,865,390,881,009,797,401,752,342,926,844,776,236,816,331,802,
309,331,504,977,892,764,163,408,032,440,288,510,270,364,704,468,484,354,163,
055,406,848,456,245,377,533,517,870,385,779,860,658,283,561,229,029,569,029,
499,994,205,094,052,345,464,985,461,953,165,208,541,581,996,290,627,919,317,
472,356,445,511,848,589,018,206,593,477,712,508,747,619,844,675,988,871,554,
003,847,678,896,569,211,274,003,506,556,912,226,261,910,346,850,486,839,076,
970,384,650,045,280,546,089,586,428,727,959,932,023,296,503,891,219,784,271,
968,250,212,210,953,783,743,124,190,243,041,626,815,459,626,887,001,706,836,
519,104,556,854,235,419,420,156,852,214,312,433,254,114,520,969,326,567,215,
818,536,011,709,358,804,915,389,619,197,288,200,500,186,781,803,188,995,600,
994,648,404,132,461,451,255,549,035,082,602,820,457,670,212,828,715,406,153,
335,722,073,565,620,942,176,668,768,885,728,713,416,642,456,947,470,590,552,
007,471,896,431,373,697,636,638,596,128,417,535,781,132,827,690,959,432,057,
078,632,995,743,741,930,973,014,431,836,243,338,400,277,751,972,569,733,277,
458,208,181,830,097,793,621,638,407,785,378,177,020,436,026,938,126,887,055,
067,853,718,458,906,334,349,425,340,182,012,280,956,283,894,736,967,273,045,
680,126,955,593,242,252,027,588,675,816,289,012,974,593,243,777,817,897,256,
271,391,327,062,489,898,979,414,050,948,455,275,820,839,535,292,672,194,152,
393,015,434,101,916,685,747,465,160,420,066,416,930,613,246,490,463,522,431,
229,836,257,103,945,948,521,403,231,829,005,870,504,197,963,791,106,200,266,
040,079,064,043,240,077,939,402,055,242,528,559,276,511,903,495,274,366,680,
047,747,863,226,901,051,588,281,645,027,017,777,358,983,820,319,672,852,133,
582,360,040,061,441,189,029,903,958,056,661,648,101,693,523,971,145,537,514,
656,108,437,046,696,005,227,474,506,502,544,774,902,462,838,922,348,570,553,
135,959,532,777,956,165,031,304,252,552,504,235,157,315,937,512,235,392,396,
041,415,380,491,685,432,631,791,542,796,064,530,712,373,199,255,532,650,034,
937,813,200,882,353,701,657,375,413,215,070,946,043,506,809,931,841,319,353,
942,521,646,833,955,626,403,058,979,754,510,301,083,983,100,656,011,858,098,
109,355,357,839,083,380,765,492,188,033,088,280,136,400,426,025,984,083,551,
514,487,729,954,840,437,360,807,512,829,733,290,638,976,033,004,639,637,402,
189,999,961,832,144,530,034,296,356,040,634,181,046,862,295,474,678,801,834,
516,617,450,306,608,184,003,610,306,751,262,498,907,332,883,052,073,269,723,
345,840,353,750,873,232,481,941,024,756,201,225,365,067,665,965,296,820,558,
630,295,752,241,436,334,252,124,535,220,408,260,284,807,366,122,823,498,452,
288,250,411,027,586,764,873,543,489,296,266,261,180,602,639,894,275,736,690,
703,200,058,090,088,614,981,246,729,213,432,474,153,849,112,627,066,014,404,
172,178,668,025,427,647,745,204,027,632,173,590,670,867,006,445,623,520,936,
424,820,650,545,890,860,842,922,902,632,514,118,498,025,029,955,909,259,604,
724,851,314,416,855,822,161,680,309,517,803,096,778,316,933,780,588,987,126,
825,123,503,926,481,724,220,155,636,600,963,061,246,035,639,408,671,171,986,
439,568,763,243,069,486,715,326,952,507,514,779,097,543,501,403,097,309,362,
479,426,242,745,173,904,191,857,933,921,972,616,916,307,499,709,490,118,281,
146,604,987,869,860,826,851,452,843,670,270,837,922,778,208,016,654,485,841,
344,621,065,701,665,668,084,350,851,122,061,498,264,459,780,788,164,791,906,
694,874,309,003,683,200,004,706,576,315,579,575,185,855,023,302,027,070,690,
011,275,872,248,494,893,272,588,733,166,874,903,423,981,271,533,425,194,478,
083,469,872,198,297,373,470,846,521,009,624,453,546,963,374,269,564,793,046,
871,274,876,549,596,980,765,547,043,206,913,210,327,865,143,521,333,623,084,
951,033,308,412,423,769,728,059,365,283,866,346,544,540,768,070,994,726,440,
170,218,143,700,402,068,771,772,031,849,446,926,318,583,959,525,575,295,125,
592,899,921,046,355,582,320,803,635,706,160,326,547,059,005,866,711,318,264,
480,519,812,715,480,889,254,139,350,817,538,428,431,642,412,360,235,854,763,
603,146,796,066,921,584,259,633,639,833,625,507,766,648,419,713,010,407,433,
464,220,236,101,920,466,929,955,538,664,994,158,785,520,513,788,357,493,433,
381,877,809,158,135,040,757,671,432,173,383,490,138,703,041,774,173,554,629,
930,919,947,681,566,253,628,200,356,324,344,990,500,795,553,240,332,562,911,
646,378,816,935,354,807,613,141,883,780,289,245,817,986,559,812,137,963,424,
700,820,780,345,331,341,330,173,155,344,280,674,230,905,278,756,915,552,843,
644,227,062,362,581,721,242,945,386,484,852,810,950,012,158,088,557,876,197,
961,234,524,698,526,437,656,562,057,026,185,901,359,717,654,830,535,148,260,
113,716,624,434,813,705,988,156,825,792,924,223,118,348,062,708,081,893,732,
984,314,037,728,600,177,000,934,422,242,053,678,584,387,182,772,697,934,435,
370,682,915,026,365,784,635,647,619,758,581,809,432,696,643,913,383,748,262,
876,443,364,654,081,267,425,392,193,346,040,342,300,344,412,322,801,056,653,
519,222,316,249,608,595,385,346,759,710,689,160,876,087,911,211,773,051,848,
093,564,721,983,328,114,201,125,553,203,429,714,568,024,082,086,147,850,748,
066,388,477,249,942,198,628,777,609,864,751,535,386,822,649,876,743,383,175,
952,946,271,266,765,483,682,272,197,309,595,112,753,363,858,102,377,406,900,
770,404,101,385,927,048,820,580,099,543,272,395,178,024,239,667,136,929,197,
962,722,845,141,055,107,130,437,248,019,990,634,329,735,800,356,039,373,396,
801,874,414,264,373,000,405,728,059,873,120,030,684,392,898,084,069,272,012,
813,573,486,398,977,499,526,528,840,742,441,735,592,068,398,988,148,920,362,
474,084,681,338,750,581,641,489,189,759,203,565,745,860,436,404,076,412,755,
629,478,329,110,504,029,248,145,334,858,767,722,692,915,174,095,694,151,603,
962,957,159,118,137,980,078,574,449,402,025,900,494,385,817,600,296,782,221,
488,318,324,344,523,562,896,549,046,576,459,606,525,764,487,615,964,938,702,
161,102,409,411,536,877,878,254,559,119,845,233,706,650,834,253,925,124,306,
920,753,605,610,702,074,473,578,575,065,217,533,334,458,690,444,448,513,867,
073,429,593,782,207,894,767,552,992,626,527,839,887,502,404,330,835,892,985,
484,956,702,075,733,310,997,860,040,254,409,078,847,199,920,859,717,267,123,
081,074,763,247,775,155,817,915,254,645,303,137,307,086,276,959,217,726,005,
304,482,008,510,373,308,111,545,138,293,958,738,616,874,040,017,446,798,686,
512,164,660,982,482,741,651,251,595,163,493,884,675,379,332,126,047,891,544,
159,661,885,897,349,876,343,661,725,616,288,625,526,207,092,151,783,484,993,
172,182,105,476,466,905,018,234,320,019,622,320,436,783,498,413,197,365,474,
119,798,092,365,980,592,021,345,378,066,073,586,823,021,521,867,883,135,702,
654,506,543,127,534,684,445,297,685,213,965,130,591,996,813,946,973,874,394,
395,059,203,510,256,792,856,744,259,609,131,118,829,545,959,378,402,388,363,
388,025,304,752,528,399,094,378,143,956,520,291,504,493,086,719,664,303,057,
181,898,215,862,372,027,475,807,463,860,883,256,323,079,369,999,853,488,151,
035,634,312,344,197,683,805,984,089,504,441,574,035,193,616,881,925,129,378,
710,435,492,579,820,700,664,123,082,560,710,856,805,061,711,517,830,817,482,
985,864,992,058,989,561,718,958,122,183,452,716,831,727,043,847,443,348,074,
149,605,162,746,138,408,919,606,154,324,639,511,525,786,976,280,442,830,708,
266,618,157,146,479,338,845,858,268,325,914,759,097,229,170,125,153,789,203,
664,916,456,828,118,453,390,895,891,974,005,803,815,471,362,296,144,686,858,
130,766,929,570,771,417,142,769,656,350,351,633,506,272,298,328,447,702,205,
008,384,373,374,250,386,329,935,050,092,320,299,371,895,402,596,800,519,140,
255,876,996,474,509,924,019,933,978,256,033,275,488,872,997,889,446,047,544,
226,525,943,227,382,516,757,295,326,785,493,553,886,670,001,336,746,617,366,
065,106,219,843,449,618,508,669,430,070,294,350,447,858,289,748,634,951,553,
615,875,898,635,944,101,557,773,652,157,155,861,920,685,933,547,174,919,574,
255,862,354,640,035,086,189,163,569,815,913,813,725,421,756,840,900,218,467,
553,601,571,639,284,479,553,514,189,644,555,292,376,476,931,287,036,133,048,
363,232,972,730,612,449,148,798,124,784,488,117,675,030,503,494,855,239,529,
629,639,950,475,175,540,082,750,558,327,766,254,574,546,557,932,219,015,398,
479,747,657,502,188,175,584,489,422,701,496,716,043,016,046,588,681,525,610,
450,945,422,467,029,160,780,717,397,394,268,298,786,821,087,419,170,481,208,
033,157,033,030,539,925,431,222,646,962,432,853,070,719,226,124,688,465,149,
650,405,771,362,545,842,867,386,403,892,235,420,800,915,987,564,553,782,639,
010,448,722,888,481,670,595,732,557,092,927,074,464,975,420,983,273,550,475,
489,034,005,057,595,597,112,648,291,385,320,567,903,975,794,850,284,934,756,
604,878,805,796,260,701,511,670,595,708,748,085,722,936,406,156,762,823,901,
706,108,808,820,552,306,925,318,481,526,238,251,605,156,566,492,433,210,078,
071,988,995,419,211,882,070,244,633,590,711,727,261,347,321,572,959,981,220,
831,693,613,308,312,496,496,520,402,246,077,865,492,571,980,902,341,616,799,
227,544,619,614,157,970,926,194,554,734,702,833,751,761,781,214,281,428,842,
146,026,893,622,869,236,035,479,614,793,789,891,057,677,280,172,787,328,415,
517,406,731,313,302,173,395,551,012,036,128,887,808,301,278,763,113,833,861,
777,789,876,848,474,272,115,666,919,382,495,528,733,113,042,461,435,497,698,
680,550,579,326,445,086,650,487,915,512,673,798,101,462,775,850,726,971,125,
823,901,224,666,493,763,093,461,151,749,874,274,339,775,824,788,059,116,157,
230,939,336,639,521,084,562,401,463,719,346,141,407,019,821,824,558,912,032,
331,164,267,067,220,331,746,580,137,584,239,316,075,907,011,580,267,612,986,
030,739,140,702,339,013,066,070,141,718,761,738,744,659,424,047,517,454,494,
465,286,559,359,523,031,113,666,576,505,328,471,074,694,324,040,539,159,355,
307,274,968,220,496,990,303,234,879,635,959,430,747,240,983,451,443,994,689,
707,402,158,582,444,166,051,389,098,639,200,907,454,998,407,140,449,915,591,
189,884,971,842,003,834,346,405,277,384,736,741,997,753,168,761,040,635,719,
356,002,852,239,251,011,574,409,773,726,694,073,995,053,825,592,559,853,905,
692,332,345,274,437,409,744,733,735,244,282,950,133,699,590,304,031,625,397,
687,045,083,511,629,108,569,621,720,856,620,484,849,333,438,435,837,924,511,
112,141,230,486,622,190,360,792,667,343,598,428,034,994,536,334,034,200,412,
858,431,406,674,956,499,683,087,663,289,386,346,645,202,198,747,257,372,067,
527,336,357,368,777,839,668,088,504,775,856,894,053,044,464,509,490,102,720,
455,228,892,858,056,808,938,881,891,880,324,166,689,201,260,235,329,754,318,
244,211,988,144,772,759,022,758,559,411,494,546,349,388,939,886,697,056,348,
605,507,409,179,409,379,896,144,937,641,618,953,903,769,844,067,374,391,065,
435,298,017,181,627,761,165,548,955,600,638,302,799,981,869,483,350,547,884,
059,793,192,002,971,692,534,297,895,908,885,106,712,304,605,736,778,098,313,
701,070,854,907,688,060,194,333,655,927,530,286,624,549,093,785,821,494,081,
781,498,285,869,809,201,476,884,352,611,579,332,271,387,983,548,989,573,992,
620,103,367,172,794,345,620,633,736,474,918,272,670,389,230,944,442,790,917,
491,838,765,221,535,714,066,138,894,667,785,017,407,341,182,631,452,475,755,
603,041,126,231,202,309,025,620,839,045,395,463,940,155,244,521,686,387,103,
108,534,716,106,138,352,954,799,529,589,248,288,118,104,895,714,770,398,840,
714,056,778,376,566,043,954,702,875,264,998,724,236,925,304,499,024,800,813,
047,249,472,314,247,723,716,401,477,985,962,328,439,053,769,607,744,827,064,
060,959,876,953,944,401,869,944,768,754,083,041,870,799,436,265,324,814,294,
354,603,870,018,758,618,645,089,362,218,521,519,983,893,973,088,549,215,509,
971,382,360,666,593,283,629,241,857,887,135,740,254,705,993,075,555,821,216,
028,942,833,759,806,279,678,999,967,757,533,737,995,451,806,176,304,110,024,
082,755,070,863,127,069,022,719,905,070,396,811,537,526,834,761,372,775,262,
827,548,352,985,638,548,307,068,622,311,765,085,617,282,082,143,762,257,480,
817,170,328,377,098,110,064,730,913,187,382,737,630,107,653,416,165,304,907,
716,360,764,453,605,745,708,874,521,883,865,307,851,013,927,084,113,909,201,
881,613,528,518,965,402,361,354,842,384,250,772,750,743,405,793,050,260,586,
976,722,135,136,777,214,243,884,306,532,132,273,757,010,638,813,127,193,454,
514,987,266,956,364,245,544,494,376,912,722,128,526,696,515,902,433,294,876,
444,931,310,003,994,240,992,256,769,352,370,009,143,853,575,178,346,784,324,
848,061,262,312,288,199,030,008,991,661,852,453,513,676,367,528,511,902,248,
707,494,834,044,974,768,663,057,152,004,313,415,542,564,706,846,314,884,730,
824,546,551,361,184,779,496,928,468,967,657,225,862,435,232,630,271,893,805,
164,313,040,570,248,699,770,644,267,209,137,137,424,832,585,420,415,446,678,
402,990,949,748,560,125,770,703,999,399,170,561,010,013,367,707,235,168,241,
961,219,358,926,173,020,249,265,889,335,629,536,810,591,723,943,553,759,576,
954,556,679,136,057,091,684,826,608,900,297,903,342,353,180,758,100,681,648,
569,855,671,958,344,760,376,678,441,407,107,794,624,987,407,243,667,341,608,
131,756,910,656,759,743,058,711,278,539,366,153,705,853,576,691,796,004,034,
136,137,656,220,960,137,583,037,637,887,063,414,395,274,031,528,995,428,020,
041,793,122,850,623,489,026,554,052,050,833,699,013,145,149,246,699,759,861,
717,784,563,949,862,526,832,904,695,469,946,134,162,826,261,708,540,351,211,
360,654,088,900,642,870,782,753,836,274,151,460,973,371,167,366,322,510,565,
959,508,339,516,358,771,571,961,424,669,008,488,525,958,569,962,299,934,626,
227,586,402,448,314,423,399,588,818,374,529,685,521,996,737,724,724,891,848,
028,358,334,874,051,067,184,856,099,062,044,412,543,794,505,026,044,721,026,
409,300,533,775,465,831,353,145,696,467,432,910,992,170,107,972,557,659,096,
585,645,822,919,901,142,911,659,626,592,006,517,435,365,026,053,036,642,649,
796,587,082,373,420,086,262,573,998,258,391,185,388,965,627,511,421,061,626,
240,497,926,042,699,856,888,202,353,047,440,234,504,466,770,582,910,368,616,
201,341,120,356,386,219,906,634,199,629,877,757,219,915,075,332,455,918,767,
511,554,860,550,851,061,071,065,933,354,249,776,357,737,670,893,808,997,282,
645,571,685,321,892,402,885,347,984,748,952,514,603,681,527,889,872,064,822,
302,588,860,726,313,198,501,257,768,085,508,464,917,503,985,889,768,353,644,
956,351,570,799,079,073,542,956,086,828,857,783,970,818,565,540,820,732,409,
278,465,056,125,754,579,944,976,470,448,771,192,760,260,939,834,134,233,695,
720,341,732,331,675,440,997,442,672,612,174,594,381,197,535,348,423,181,541,
461,143,462,700,569,010,577,198,589,501,249,338,839,810,526,759,780,425,285,
692,475,285,639,041,799,699,995,767,566,396,871,362,652,672,460,393,749,942,
761,962,279,280,166,248,060,072,909,732,705,684,921,079,304,243,502,427,226,
010,646,305,341,224,875,997,985,701,621,128,022,941,168,639,688,037,643,779,
378,756,888,493,255,629,573,342,748,601,397,418,478,676,124,772,465,855,936,
217,569,336,897,210,862,677,253,308,594,406,897,162,643,824,880,877,297,164,
377,697,938,429,072,706,008,377,216,119,412,228,296,264,426,019,086,798,817,
122,475,406,147,448,075,948,023,058,799,130,464,285,608,262,927,673,054,420,
082,363,633,840,660,686,699,883,015,919,325,808,732,393,460,289,766,936,748,
240,536,578,061,185,196,161,166,536,690,422,383,612,435,798,103,709,718,229,
236,711,430,782,378,873,554,043,085,753,773,043,683,535,755,476,701,907,324,
898,586,968,580,876,720,080,008,265,574,058,735,348,672,355,703,680,054,256,
919,918,910,016,867,391,195,928,555,098,090,020,411,864,755,546,441,740,190,
280,650,749,388,500,990,336,373,351,822,396,967,988,742,360,892,711,181,555,
989,064,903,264,090,805,036,165,087,616,430,134,298,412,602,047,786,775,362,
483,987,610,642,563,078,160,779,739,638,660,741,429,474,340,963,932,728,441,
031,104,482,935,906,297,039,097,416,865,340,344,030,467,099,744,190,322,784,
010,932,808,145,215,401,746,543,447,457,359,660,065,641,513,917,599,197,492,
180,546,376,214,049,082,008,183,810,285,806,678,432,582,702,695,609,091,787,
233,347,993,985,327,418,711,712,676,455,116,113,511,104,248,624,542,908,857,
668,519,427,343,320,481,181,751,620,849,407,058,770,026,533,003,364,848,029,
249,161,808,207,210,521,865,361,029,531,083,495,050,812,768,569,346,875,502,
799,214,901,933,811,984,579,843,989,161,171,487,496,827,371,423,981,740,086,
057,820,340,933,554,694,738,078,672,259,277,586,946,240,518,429,533,393,646,
093,899,826,399,428,205,182,442,345,461,897,849,944,722,896,511,325,969,620,
726,009,382,517,103,907,598,616,313,695,803,595,355,143,813,860,201,204,628,
469,164,111,579,423,732,694,211,466,188,943,160,798,916,074,791,821,516,276,
706,644,059,588,353,132,663,661,968,242,503,311,432,384,116,006,680,510,862,
803,579,317,888,651,244,466,785,903,564,625,908,345,444,915,729,441,251,753,
137,176,419,421,900,223,707,751,490,938,638,229,433,529,519,426,405,901,102,
241,207,862,115,500,267,436,462,136,251,149,227,609,838,284,045,210,731,457,
163,623,600,638,661,785,960,144,160,132,385,433,788,600,988,828,372,942,089,
454,271,416,738,449,941,912,440,650,764,518,434,109,153,435,017,899,714,642,
541,194,435,572,871,397,355,018,835,007,587,326,903,510,623,078,624,763,888,
318,347,420,333,156,996,109,296,283,614,524,466,907,266,746,185,670,995,866,
886,855,038,593,910,198,615,035,783,534,616,180,398,041,462,723,759,778,827,
828,999,131,175,832,790,466,551,462,955,708,930,486,950,293,716,348,463,254,
755,386,204,847,056,470,192,473,409,260,829,975,139,533,056,265,999,826,942,
312,614,815,098,385,303,883,831,817,216,553,838,985,442,532,938,391,091,771,
891,812,971,610,197,440,721,765,285,924,442,709,628,553,157,076,542,406,860,
237,234,207,051,328,941,375,197,158,635,376,544,658,327,850,412,699,452,190,
132,991,020,186,636,808,480,381,433,093,914,170,223,760,118,417,976,263,143,
984,061,256,187,169,620,000,084,451,603,452,432,544,622,927,495,436,717,707,
512,897,617,876,483,685,992,745,289,379,029,315,552,282,074,041,589,071,231,
829,607,493,451,224,043,253,286,702,732,073,356,699,486,267,363,802,324,800,
799,734,727,042,718,911,754,543,418,839,125,916,223,191,672,882,855,129,707,
914,151,452,191,136,013,595,651,910,809,965,100,223,428,608,264,073,022,399,
713,682,813,405,583,743,552,407,200,046,190,096,656,777,837,206,693,249,212,
423,365,993,614,814,786,167,762,223,994,751,950,884,830,075,453,147,487,330,
172,858,057,218,035,293,799,288,767,558,127,453,760,089,070,562,549,593,908,
050,620,859,950,519,647,909,643,471,245,937,592,768,680,029,878,424,454,498,
922,105,810,523,087,283,362,268,528,237,756,548,336,725,497,141,727,614,842,
497,033,321,440,727,654,018,531,127,317,145,677,564,848,484,814,456,463,139,
194,562,809,546,824,589,388,705,110,965,922,665,204,977,669,643,067,110,246,
590,399,044,969,639,861,844,638,260,981,320,180,417,602,007,041,386,115,964,
959,350,145,754,562,191,890,063,117,523,201,021,535,899,855,645,515,230,746,
882,458,963,576,613,165,063,859,813,062,441,740,562,628,844,081,647,023,229,
316,502,079,545,749,160,003,408,554,714,468,768,480,922,569,335,560,702,715,
287,100,431,648,482,837,871,091,717,412,366,327,687,623,501,563,413,309,885,
684,279,713,963,539,570,335,840,824,159,773,027,936,567,639,060,696,445,777,
866,197,142,857,479,686,042,848,801,114,423,846,512,372,334,220,517,876,827,
316,905,856,249,588,632,829,422,747,729,818,119,283,999,925,739,961,653,591,
981,151,506,209,719,933,054,616,475,265,019,826,386,975,824,062,570,630,118,
612,376,137,865,108,915,550,274,577,338,066,748,909,936,339,921,038,078,115,
827,264,058,943,871,190,599,441,982,392,903,936,599,440,297,045,122,715,633,
226,602,624,383,718,898,752,071,718,474,328,317,132,078,534,666,232,296,896,
611,284,856,244,743,892,657,318,428,884,388,876,733,876,204,364,239,202,449,
349,675,089,015,705,059,290,297,111,936,718,618,292,508,998,983,139,043,163,
379,020,232,133,741,045,601,517,352,863,102,456,237,002,518,580,261,136,175,
423,750,949,989,743,935,910,755,722,014,292,563,632,127,591,345,642,245,794,
045,685,838,004,775,552,360,777,290,547,952,519,273,989,819,951,071,090,050,
480,379,877,712,355,225,650,883,154,825,370,089,067,074,757,422,741,517,502,
625,958,222,111,726,508,549,499,905,334,764,492,130,615,082,909,770,580,285,
031,533,770,716,678,494,742,473,372,053,209,975,020,732,800,099,397,686,670,
251,628,342,634,683,092,389,172,478,240,415,516,091,767,512,576,411,151,632,
483,432,797,537,295,702,268,286,006,496,799,140,285,298,100,824,743,980,405,
393,147,906,387,107,321,055,765,235,609,161,254,207,146,370,551,553,071,012,
841,481,325,265,743,331,401,668,624,260,635,939,236,851,688,944,811,681,542,
124,251,025,609,228,407,288,997,230,399,635,507,253,587,440,283,772,887,506,
338,597,841,203,433,751,955,025,328,217,522,576,004,911,452,140,459,991,079,
512,766,592,663,507,797,200,052,817,623,532,192,151,625,384,081,659,199,067,
634,892,582,719,050,219,743,846,587,736,532,058,022,488,919,343,262,886,620,
289,045,016,300,869,614,518,915,620,525,772,391,080,660,703,434,198,436,260,
864,208,259,228,261,564,029,267,501,701,150,640,472,664,490,514,350,040,097,
348,773,329,221,647,293,770,454,824,860,476,433,739,672,400,037,276,723,528,
272,442,075,416,577,052,001,806,700,348,651,081,913,657,613,164,546,978,749,
227,677,655,728,496,857,352,569,062,747,674,169,083,866,492,165,056,660,066,
123,444,419,747,836,694,764,100,578,185,335,533,482,495,049,288,857,046,549,
072,712,160,429,107,481,805,764,357,896,717,387,002,366,684,388,218,623,398,
802,732,127,110,601,868,716,155,239,061,882,986,651,695,744,123,932,912,326,
166,890,372,822,631,506,767,132,589,421,656,674,535,645,603,035,181,534,113,
993,255,842,729,895,761,493,660,901,387,068,800,445,006,320,529,235,799,905,
418,149,014,504,274,445,764,294,423,198,445,434,998,733,110,550,634,323,778,
156,906,852,291,481,881,796,242,032,467,616,648,044,102,960,000,468,932,117,
354,355,987,293,215,478,189,378,925,458,750,597,850,217,276,777,698,339,614,
913,303,852,507,420,588,414,195,082,840,882,111,752,006,190,962,133,676,047,
237,604,898,075,365,460,784,966,670,089,773,646,846,931,733,325,397,432,415,
317,577,853,385,979,723,172,224,780,314,048,272,095,709,750,149,672,949,012,
083,267,734,075,354,298,356,627,560,617,585,319,409,627,497,145,297,439,446,
373,807,058,929,436,380,364,626,264,417,998,382,166,686,872,166,034,091,200,
054,291,072,503,353,409,123,788,322,781,151,230,064,205,260,503,870,131,257,
803,439,991,645,931,367,285,677,039,339,695,916,083,615,035,402,748,834,644,
090,578,112,559,038,164,681,491,910,764,124,885,458,124,254,309,041,402,890,
218,992,088,946,869,031,163,909,759,534,214,017,862,075,086,749,782,268,245,
687,355,638,999,357,738,706,115,131,822,400,525,339,501,419,858,320,288,753,
898,650,735,575,915,445,244,169,438,595,520,827,589,494,787,413,984,025,643,
865,196,138,657,873,835,241,340,836,215,533,133,827,133,236,608,504,755,145,
855,795,176,255,245,297,045,105,567,630,254,384,648,822,631,170,803,962,174,
230,633,621,937,701,788,985,828,015,440,704,030,172,773,872,130,873,137,674,
911,367,536,512,907,940,593,221,408,470,049,893,278,688,990,896,604,608,671,
351,888,925,510,305,865,935,333,702,252,829,182,118,888,581,380,243,589,513,
050,427,088,652,339,825,157,088,144,697,633,116,991,076,978,018,025,577,976,
794,830,818,657,467,231,761,044,060,993,200,940,735,501,144,393,271,788,535,
565,324,075,283,576,728,146,958,069,291,365,439,433,007,784,109,729,698,986,
245,944,879,959,363,275,959,627,200,675,121,821,265,851,158,767,231,297,313,
464,713,096,512,518,089,169,240,543,907,082,967,135,574,429,677,219,319,883,
008,804,661,919,857,687,988,480,794,447,334,103,241,346,781,412,923,048,791,
931,854,322,977,508,644,353,031,039,705,348,755,204,098,470,611,305,820,187,
730,022,626,460,567,212,679,930,928,313,169,848,581,149,977,418,810,445,093,
433,221,089,769,547,552,947,280,071,168,261,687,473,605,603,990,325,205,317,
909,074,121,131,620,804,358,886,802,083,688,074,692,861,080,185,743,099,344,
626,903,949,505,276,082,565,114,435,470,046,045,361,583,329,242,502,419,909,
992,321,998,517,037,669,988,937,698,421,237,325,331,833,447,111,181,314,049,
607,619,433,750,670,254,245,999,904,247,714,277,953,179,687,852,550,905,716,
446,841,917,928,392,063,902,365,267,962,600,625,664,376,180,351,654,075,147,
358,312,788,785,246,914,478,468,586,208,226,431,843,526,340,138,580,859,485,
963,354,939,894,490,722,315,913,817,463,760,088,659,408,165,442,906,119,966,
393,338,428,007,229,004,193,106,637,216,634,104,618,984,098,404,523,044,274,
853,673,938,210,850,124,801,303,126,862,100,517,295,071,542,185,464,436,482,
101,088,510,298,091,742,751,649,913,699,197,315,963,848,975,211,864,792,029,
588,876,358,701,629,511,058,461,371,897,436,048,578,283,420,148,664,486,265,
378,343,231,299,892,014,519,720,955,224,089,157,074,402,603,223,336,204,440,
680,116,032,992,250,942,760,378,866,874,870,099,700,594,986,345,525,526,702,
741,437,985,151,866,777,675,649,285,834,752,218,820,070,842,581,886,359,058,
138,401,949,462,728,006,426,893,214,304,414,422,547,517,622,775,645,668,495,
895,066,481,108,808,177,074,677,132,804,846,269,698,165,537,240,661,686,521,
739,412,605,752,189,637,140,735,170,514,445,765,186,649,335,266,892,085,419,
055,049,254,735,404,886,633,341,755,627,735,596,557,400,138,006,245,100,680,
655,307,614,603,270,807,002,855,697,385,723,690,171,200,551,458,030,022,146,
581,481,683,372,814,987,883,485,036,920,323,154,750,659,640,848,819,575,624,
126,828,082,913,437,600,906,132,367,042,933,040,900,707,541,977,959,384,455,
842,374,726,366,181,061,825,029,305,352,781,701,246,597,768,084,458,820,056,
966,944,663,329,027,648,971,410,427,972,052,143,432,066,057,073,119,670,741,
486,760,365,220,772,562,259,717,444,213,917,716,084,355,353,314,690,054,022,
253,346,120,330,471,353,573,573,830,314,060,743,289,964,064,799,098,919,697,
636,011,052,438,463,925,847,323,346,840,899,533,681,050,861,832,005,042,445,
779,079,806,398,736,484,698,178,536,631,763,370,672,054,299,692,745,719,028,
886,728,463,728,752,557,667,276,244,346,709,992,382,981,316,623,950,966,414,
036,462,181,477,722,214,294,741,630,918,307,478,896,669,673,576,314,420,051,
475,615,663,977,955,784,923,712,243,628,155,716,790,391,971,955,442,042,949,
220,216,111,733,652,499,269,265,416,957,623,855,229,867,229,514,038,751,316,
105,731,329,325,725,852,549,863,312,337,212,567,487,803,441,447,750,051,657,
226,047,455,911,979,302,702,062,663,763,682,846,339,362,643,703,804,485,504,
635,251,263,216,081,643,991,020,473,386,401,804,314,820,760,533,135,540,080,
112,384,474,140,384,495,919,604,325,843,876,214,298,570,847,567,819,919,252,
524,936,270,908,062,357,323,706,125,413,293,652,762,630,418,238,563,381,971,
509,744,929,090,653,617,335,269,016,709,707,124,466,853,381,718,135,585,681,
913,013,174,970,268,378,993,895,273,681,583,182,304,526,458,838,785,368,945,
711,351,650,159,313,384,311,898,652,470,100,936,597,269,406,961,230,942,503,
156,608,434,842,055,507,203,470,217,210,759,774,718,056,362,774,228,765,717,
518,420,932,446,136,556,305,124,640,074,677,835,795,489,020,007,954,686,687,
075,522,648,689,776,609,225,949,741,053,810,277,066,807,559,982,682,030,775,
617,656,772,605,439,131,146,858,067,568,649,592,910,464,851,132,937,869,337,
491,253,672,239,460,801,765,657,135,449,962,994,215,438,072,774,924,882,317,
552,707,180,147,964,631,495,253,940,676,826,071,421,359,089,373,658,888,281,
626,232,263,063,473,930,453,821,514,484,484,955,813,478,385,884,838,417,307,
091,211,509,724,416,818,122,034,436,682,039,052,297,125,334,766,166,079,398,
106,809,240,889,875,324,770,777,107,453,888,840,560,311,434,607,947,079,898,
108,671,192,265,256,136,366,361,205,118,429,634,224,446,177,568,314,392,448,
462,431,359,494,355,788,953,824,825,364,449,274,279,001,573,596,180,460,199,
432,798,213,702,476,028,007,377,581,830,994,757,320,422,408,307,450,214,023,
554,576,680,446,783,000,068,844,828,000,847,117,373,723,721,753,849,007,379,
945,151,910,039,843,581,273,446,824,027,178,012,458,314,780,696,069,996,937,
815,986,156,613,191,848,409,367,714,077,542,417,625,104,418,073,776,860,729,
985,233,046,378,183,426,108,951,400,277,903,097,300,958,006,619,204,399,971,
962,752,874,498,221,207,884,523,722,022,352,480,590,544,127,118,935,024,495,
511,168,993,372,119,533,879,709,007,971,876,834,705,897,241,930,259,792,023,
836,370,057,678,181,365,932,279,115,275,486,152,973,231,165,260,904,356,662,
926,668,191,455,773,619,429,493,494,490,869,841,305,625,417,101,230,979,274,
550,878,115,960,993,461,996,627,073,747,524,552,529,026,125,095,263,137,438,
447,717,613,436,130,163,303,237,420,086,326,524,156,621,613,696,637,051,316,
473,284,641,450,963,668,750,515,006,131,984,679,396,876,077,543,305,489,586,
010,821,118,033,218,787,529,589,298,749,097,251,671,804,748,630,068,375,617,
968,734,864,747,420,570,087,211,830,321,223,203,853,727,585,626,810,420,209,
804,218,163,739,755,166,990,204,252,136,483,858,496,769,224,663,756,511,376,
680,867,050,431,797,926,390,225,035,804,354,579,887,657,077,531,035,194,303,
137,158,560,598,307,188,118,522,268,455,383,176,720,128,535,311,085,180,625,
102,010,012,261,185,458,407,244,262,834,194,057,803,059,937,659,955,246,303,
979,517,466,504,347,785,022,702,479,615,689,727,382,173,983,403,106,615,116,
570,770,406,128,261,208,537,871,547,072,773,201,068,351,998,442,256,867,694,
733,803,963,207,992,808,249,125,417,609,756,385,306,213,430,690,939,741,546,
976,849,660,965,287,744,325,137,138,819,723,688,427,461,801,346,210,767,402,
131,861,160,107,584,784,582,411,796,565,619,655,691,729,053,620,571,626,784,
773,316,139,513,121,643,062,763,723,178,623,290,547,051,835,749,851,944,313,
936,576,687,816,251,784,515,531,617,689,617,400,292,866,716,998,378,207,671,
744,260,390,234,855,135,187,864,497,558,860,249,271,398,464,594,431,644,858,
180,584,781,515,244,526,499,682,716,994,453,203,297,986,017,183,149,869,073,
284,638,753,336,546,160,603,640,763,458,086,218,506,700,656,615,962,934,035,
045,324,305,867,374,515,358,413,686,114,139,554,362,011,141,616,424,624,574,
462,606,688,528,409,881,610,806,032,884,699,172,684,075,280,227,118,374,701,
110,323,921,366,269,238,175,155,384,732,129,140,149,385,067,346,387,807,139,
065,115,301,732,949,284,166,315,789,204,439,722,304,759,918,883,946,103,810,
593,599,847,404,167,173,436,735,809,648,594,941,742,255,520,915,717,492,486,
435,930,472,518,262,786,226,179,226,501,836,238,576,731,239,224,669,686,029,
743,831,666,043,137,185,380,949,187,889,058,051,480,226,316,630,405,086,160,
845,350,372,730,442,187,942,475,887,578,423,469,502,032,557,309,302,391,649,
689,299,524,965,606,887,280,032,716,187,520,618,218,443,377,399,871,003,956,
074,223,090,641,755,923,615,184,332,764,899,270,170,941,396,654,837,658,184,
775,603,004,347,292,054,921,075,907,069,618,014,673,871,369,706,933,822,271,
297,490,755,983,659,164,790,478,516,553,855,599,010,917,920,225,362,744,971,
609,851,542,766,267,277,467,667,851,129,565,025,407,917,856,336,648,303,470,
936,951,936,006,198,572,876,616,527,220,374,637,331,217,926,171,685,697,599,
581,433,872,780,756,343,551,218,882,550,640,955,210,294,766,614,418,087,364,
547,610,619,907,075,136,281,241,983,843,092,815,069,492,503,615,728,269,069,
459,536,816,490,840,906,057,127,283,552,078,492,436,910,249,411,471,561,872,
703,336,977,806,927,664,704,286,396,909,166,584,041,031,014,130,959,861,367,
874,972,226,094,573,084,479,879,409,030,790,302,914,861,605,541,490,018,336,
623,358,707,175,517,721,395,743,835,582,632,715,424,433,107,713,883,945,438,
336,119,496,671,371,368,315,189,735,251,782,036,422,001,818,002,397,272,450,
305,184,736,776,228,833,008,387,439,038,297,547,715,311,107,404,731,713,866,
147,526,432,412,934,908,806,686,011,410,557,370,926,895,205,768,889,300,010,
172,565,035,115,563,877,965,730,237,271,987,289,087,242,743,370,742,540,698,
403,892,668,072,586,192,662,267,505,014,708,721,067,440,848,211,520,945,130,
548,274,681,587,488,524,394,126,442,051,101,225,332,644,836,114,065,817,697,
128,514,649,419,325,267,228,684,888,234,273,731,970,451,747,726,678,194,273,
119,747,826,258,652,219,398,641,578,021,111,423,691,526,580,110,370,571,953,
041,217,220,694,227,075,680,769,718,501,466,505,376,750,233,860,469,807,619,
026,086,553,576,469,317,939,883,246,678,181,316,061,296,040,540,296,643,526,
070,734,717,915,513,479,578,150,285,668,627,988,308,288,229,663,881,787,087,
866,132,528,255,360,064,679,125,570,896,336,974,208,937,685,191,502,431,930,
773,642,669,063,444,712,344,971,329,058,973,113,266,637,121,330,142,519,268,
779,896,706,122,026,720,656,378,299,088,699,164,442,167,118,920,293,841,411,
676,872,104,958,570,603,001,156,217,812,313,447,129,559,778,128,472,185,900,
904,181,032,238,187,858,066,361,623,221,546,795,156,363,253,696,641,706,405,
551,064,493,155,144,774,616,786,772,209,104,403,682,919,384,578,422,398,833,
699,755,701,326,847,064,342,910,512,745,090,130,109,285,507,540,925,831,874,
275,847,810,853,196,975,937,771,759,612,535,873,794,223,190,550,891,988,964,
775,214,299,456,943,148,499,855,977,219,270,307,795,185,721,706,153,082,004,
306,154,061,659,586,448,267,738,238,538,912,489,967,189,443,252,523,158,927,
680,904,315,903,060,466,321,075,095,816,984,101,121,479,249,230,598,017,177,
422,444,482,466,187,243,529,148,185,577,766,413,583,387,694,797,728,344,251,
212,806,995,043,108,115,220,859,999,798,550,726,365,476,351,778,556,387,880,
332,346,123,111,443,857,401,975,947,887,369,064,313,755,298,366,367,585,981,
773,076,697,283,261,393,116,824,304,863,315,275,723,530,158,700,358,375,667,
923,348,419,938,124,236,309,936,291,193,481,184,394,686,141,873,849,122,173,
287,164,029,154,804,856,856,370,528,844,552,068,623,382,545,712,222,302,912,
271,611,988,477,370,352,230,248,578,346,132,509,473,746,587,853,715,064,749,
426,871,424,092,800,319,005,787,652,451,860,323,546,249,681,076,994,966,185,
768,011,436,591,023,611,418,193,225,720,568,068,994,190,445,717,907,884,093,
538,485,971,392,825,045,671,591,787,069,510,031,774,963,764,485,373,835,418,
264,564,671,510,968,460,527,558,264,519,617,616,889,031,778,697,055,675,781,
467,819,124,830,452,811,651,701,569,006,964,871,048,163,563,253,662,478,830,
681,121,006,360,547,032,513,690,783,637,566,750,713,920,087,911,086,871,357,
337,936,720,893,472,393,835,285,186,363,670,434,289,427,468,258,261,876,125,
764,496,401,456,442,424,017,331,691,427,726,321,124,646,735,565,386,894,260,
807,267,440,161,509,998,176,687,400,608,512,106,390,852,179,287,058,225,802,
432,950,295,542,842,291,171,634,480,609,271,130,270,391,366,401,461,894,178,
432,454,795,227,447,345,498,140,721,467,764,728,186,072,399,425,515,833,956,
395,905,813,286,988,377,761,384,248,378,203,921,042,580,895,932,611,316,507,
229,869,712,776,170,474,511,662,988,890,984,606,288,546,432,234,957,346,196,
203,107,279,883,117,286,151,432,792,245,015,171,104,920,745,074,027,388,911,
045,995,991,282,857,988,766,689,541,558,586,061,817,030,895,782,494,448,477,
683,180,139,223,893,516,761,001,770,461,479,395,322,815,486,424,126,962,216,
687,997,455,185,025,667,863,227,037,857,039,069,606,097,933,888,265,341,438,
554,391,726,196,296,654,757,320,471,241,353,286,016,853,515,494,424,341,343,
213,744,687,939,194,944,787,043,980,801,101,006,280,932,082,160,069,343,604,
888,239,992,075,081,576,079,698,436,803,771,274,198,092,302,479,869,115,981,
047,846,655,687,689,345,947,171,892,059,279,356,056,685,661,732,276,455,235,
943,168,424,048,897,478,136,486,579,737,393,514,953,861,780,931,826,946,678,
309,849,343,172,448,078,119,086,425,637,299,994,554,394,851,827,498,497,090,
435,584,011,910,513,776,785,769,916,406,929,228,266,628,539,262,836,450,876,
319,915,142,515,386,132,208,499,531,747,615,428,422,503,987,923,503,288,943,
611,099,055,647,945,941,298,539,720,658,719,436,310,031,834,307,690,141,343,
398,819,351,730,039,170,258,850,450,042,823,387,212,520,686,894,749,548,490,
556,504,692,366,689,376,758,952,771,075,967,395,235,458,855,587,351,875,855,
813,695,717,099,552,101,565,195,122,338,668,880,613,065,338,943,938,788,474,
718,681,333,226,966,849,845,420,418,978,488,528,186,222,167,593,291,610,726,
399,508,512,890,849,391,630,900,548,444,192,380,324,448,329,053,871,906,982,
830,543,355,949,943,950,775,761,485,677,738,248,478,655,960,425,887,835,701,
703,139,641,648,821,844,038,006,759,012,406,005,622,993,243,078,898,928,830,
601,469,405,676,110,013,595,001,207,711,808,473,009,921,657,960,322,006,076,
998,712,410,241,835,396,133,800,140,073,709,149,609,702,091,777,209,322,604,
290,729,666,306,741,206,725,254,324,520,139,892,648,451,320,665,357,882,736,
781,041,917,656,746,984,174,877,171,323,726,658,633,775,644,691,834,370,193,
440,944,541,194,986,276,771,704,710,085,681,466,794,597,246,996,187,938,938,
024,547,017,918,519,545,318,235,262,212,214,724,664,777,235,545,331,328,850,
741,627,385,124,540,759,369,364,291,091,998,792,367,155,530,950,432,478,833,
931,085,552,878,912,588,859,106,327,348,413,932,428,410,323,039,749,975,546,
202,818,992,341,304,830,409,040,506,607,579,493,201,732,797,456,993,998,801,
070,046,224,351,222,549,251,065,995,903,196,249,173,626,956,861,456,857,872,
710,051,869,944,267,281,864,416,442,229,676,012,552,728,855,321,183,629,434,
191,969,810,993,257,118,248,244,479,865,318,108,544,538,093,950,347,887,518,
683,213,586,355,619,277,302,556,751,610,436,635,356,497,501,501,613,495,730,
891,132,866,486,156,033,773,079,765,152,760,604,284,408,202,451,532,025,145,
967,024,841,464,689,725,161,248,622,115,019,254,969,444,537,257,638,002,459,
136,392,257,979,573,159,621,853,120,289,768,772,987,773,612,621,048,373,227,
529,399,343,281,429,159,266,884,374,791,103,228,154,141,434,913,801,715,367,
120,971,513,132,424,315,997,861,248,165,045,857,200,882,631,495,551,643,968,
988,012,291,704,596,977,358,142,378,349,528,310,569,985,267,540,547,158,707,
249,072,532,195,030,068,973,599,633,406,161,150,634,940,278,782,976,652,324,
015,123,980,333,936,151,349,599,565,261,118,120,092,234,816,949,808,665,894,
069,616,940,756,426,370,470,258,179,566,633,012,134,784,534,191,180,443,245,
328,552,990,199,096,087,566,879,137,408,856,941,587,435,327,261,299,266,992,
173,513,799,463,094,534,910,042,459,573,135,247,788,074,248,904,231,277,161,
103,136,466,134,118,970,907,285,388,302,134,633,117,836,913,414,944,267,411,
976,146,500,615,712,281,246,307,739,330,266,418,297,584,156,256,233,318,670,
254,929,397,655,486,052,439,371,187,721,463,740,143,182,787,763,840,109,358,
507,232,969,727,967,147,733,473,501,116,898,085,058,799,819,043,180,842,124,
713,646,222,145,080,014,038,417,749,489,473,897,588,934,212,272,005,567,921,
494,954,304,052,282,205,242,815,381,013,366,468,237,999,811,703,546,211,723,
780,744,541,583,427,053,937,486,119,484,195,954,700,071,348,873,176,466,294,
923,409,736,409,008,237,693,482,420,221,832,477,069,627,269,970,185,712,538,
034,726,861,593,055,554,552,108,758,199,796,803,966,692,262,796,501,590,476,
288,845,663,279,041,333,972,347,787,272,089,492,174,303,045,424,764,756,520,
738,449,023,783,065,503,837,881,013,902,529,841,753,566,579,483,755,367,606,
429,388,215,783,723,287,697,380,225,979,150,250,862,315,734,058,877,188,033,
405,024,287,911,442,520,992,894,045,787,807,413,524,338,080,704,264,156,492,
488,563,138,082,501,538,411,782,632,292,687,309,839,661,710,792,101,813,085,
518,424,614,689,611,683,510,599,119,252,424,960,576,183,339,708,347,609,956,
039,943,008,071,833,480,373,687,282,954,328,452,724,549,590,854,730,791,274,
550,352,959,661,065,694,577,796,467,578,999,480,915,135,775,826,386,734,411,
337,867,436,589,845,126,068,155,304,014,460,979,923,719,462,584,430,078,159,
982,087,905,560,117,254,936,056,467,266,797,133,028,635,536,819,505,485,037,
630,318,315,321,345,277,543,822,257,779,572,380,842,234,129,948,315,603,656,
881,195,621,094,676,343,385,068,411,434,119,812,472,804,180,970,727,027,013,
068,509,868,785,376,441,392,286,783,525,533,435,678,930,769,079,861,338,632,
889,527,461,954,420,780,053,126,601,105,378,234,747,854,515,037,113,464,276,
337,215,128,006,776,536,370,849,787,555,270,620,153,724,556,101,294,527,331,
468,475,727,055,807,544,256,628,394,161,365,372,228,794,615,392,961,944,913,
567,582,139,928,796,357,340,528,808,502,076,227,192,358,947,701,171,965,702,
270,632,792,775,541,831,474,782,039,613,698,103,814,828,928,550,945,924,971,
584,353,020,976,808,397,803,017,103,254,569,694,886,026,408,266,182,410,042,
404,094,541,779,706,566,187,136,180,293,009,134,071,026,281,834,475,977,528,
583,875,162,780,023,049,962,186,042,915,471,781,935,779,733,928,407,590,218,
486,576,453,192,561,323,738,401,875,982,901,233,551,752,555,966,853,009,075,
829,343,669,599,819,327,253,953,276,417,265,639,372,922,321,008,958,456,965,
393,462,940,522,399,512,993,103,077,131,813,223,620,839,468,791,865,233,951,
164,734,942,185,110,434,802,816,204,147,340,159,056,005,288,538,565,980,400,
604,723,828,205,953,739,235,326,786,821,815,806,697,124,345,639,809,547,491,
680,681,576,890,357,944,512,897,670,139,628,733,052,798,138,135,660,044,981,
864,074,723,304,926,773,917,883,739,345,513,567,099,296,067,044,371,722,858,
082,970,438,573,548,925,688,185,621,706,413,355,939,659,808,609,582,200,549,
670,245,950,783,678,624,427,480,330,274,546,999,214,595,508,831,527,842,683,
764,945,636,770,747,422,066,063,336,456,084,397,824,042,818,510,571,717,751,
807,527,820,908,232,652,637,776,642,898,525,217,049,140,926,573,859,485,090,
506,414,531,339,642,658,555,853,754,530,426,810,640,723,468,483,986,124,623,
573,972,675,370,630,977,652,437,991,393,191,313,763,553,374,674,165,394,142,
676,739,789,463,188,703,177,662,802,330,119,191,293,320,579,542,397,697,079,
665,446,394,457,965,003,186,077,260,861,659,826,316,191,419,553,213,084,278,
574,797,994,205,848,537,726,217,266,689,144,434,163,195,878,405,299,568,864,
767,508,948,341,188,624,929,372,819,855,709,812,398,868,761,423,031,864,292,
950,296,434,788,887,320,314,964,775,411,888,395,359,475,267,220,190,783,349,
125,416,613,237,428,806,546,286,801,406,627,697,650,745,428,966,925,298,399,
551,692,871,953,288,325,805,677,434,445,669,345,748,436,696,727,893,185,738,
014,144,530,755,899,512,846,554,913,679,190,579,454,041,397,469,851,063,099,
409,368,882,883,414,904,864,753,302,067,898,215,397,889,545,566,491,030,376,
777,284,368,556,223,080,066,580,374,656,803,427,160,928,013,986,464,741,856,
607,903,151,398,148,008,535,814,697,887,680,467,953,492,507,541,066,544,968,
068,595,819,116,237,474,986,102,750,742,244,178,925,028,529,263,442,028,094,
351,195,827,026,789,463,950,792,729,094,388,126,177,812,470,170,000,477,511,
115,150,249,113,630,110,602,567,040,876,866,675,370,381,046,566,784,138,019,
732,499,476,166,920,861,405,659,138,524,772,146,570,590,731,747,163,855,095,
273,563,264,174,810,010,780,124,651,667,529,632,662,624,806,296,858,155,718,
955,952,249,675,884,467,246,762,930,196,047,674,468,610,410,187,934,534,778,
238,138,377,638,716,750,396,431,522,366,393,460,759,919,440,009,019,800,822,
243,731,071,257,371,200,676,460,225,307,813,246,258,130,082,830,608,127,578,
316,480,673,759,946,798,957,765,912,099,740,691,695,174,074,047,512,408,617,
243,050,139,908,073,154,679,051,421,133,325,681,614,956,999,701,370,693,765,
833,198,754,683,781,679,796,604,635,810,617,689,634,933,633,040,654,264,626,
626,714,707,646,578,231,307,145,553,161,567,840,592,611,528,380,634,103,244,
858,819,794,737,610,472,639,476,350,155,107,584,525,196,611,024,918,897,428,
605,736,960,148,592,836,062,912,529,482,438,473,633,439,094,671,479,604,451,
696,418,034,341,750,144,300,765,846,291,754,547,867,116,876,307,071,753,653,
259,435,372,789,661,295,668,945,702,020,332,055,923,834,863,218,990,190,762,
616,151,402,318,214,866,304,217,554,460,518,035,945,399,398,975,650,271,287,
933,272,258,054,091,315,598,780,360,685,088,478,453,850,438,021,815,224,194,
543,989,417,279,760,871,845,902,659,701,194,545,823,329,103,784,786,628,240,
640,962,891,481,628,168,720,570,783,372,391,568,362,958,582,258,252,888,218,
337,769,847,378,843,592,727,542,308,034,766,368,537,079,842,950,156,379,181,
627,040,653,078,841,159,965,448,040,135,554,982,160,158,725,105,258,214,685,
139,519,901,327,852,829,631,627,623,227,105,273,787,904,778,274,320,122,762,
341,127,967,902,871,078,397,695,524,445,389,749,306,569,391,293,868,495,145,
923,741,227,289,283,146,792,342,249,685,034,779,286,690,339,374,870,145,727,
845,008,931,635,634,881,334,417,509,563,335,311,152,536,904,566,939,127,994,
091,158,727,488,307,095,755,370,999,269,068,977,832,291,785,263,294,243,752,
484,078,162,197,549,392,678,015,271,851,619,584,236,138,670,662,193,944,229,
138,321,076,997,955,236,245,002,499,847,283,853,164,071,302,311,746,916,537,
113,256,017,090,970,451,646,254,412,297,417,851,186,900,077,719,853,301,736,
860,422,153,992,970,184,156,633,454,291,574,603,138,386,450,584,430,373,546,
251,845,043,426,236,398,590,802,627,150,573,173,382,816,386,217,957,272,114,
994,021,289,347,924,130,619,575,057,772,154,453,363,503,531,851,488,374,155,
528,970,767,281,346,030,208,065,535,437,913,480,899,187,921,539,262,508,559,
067,678,012,553,945,259,032,014,025,696,315,050,591,375,787,116,001,231,142,
333,671,927,225,897,428,770,563,148,992,564,300,768,172,619,347,310,826,971,
814,215,594,505,450,206,638,904,210,117,497,292,573,997,687,789,651,352,837,
039,718,736,250,074,428,328,074,933,980,213,834,027,361,122,442,632,894,860,
853,784,935,282,947,983,162,079,218,336,520,271,117,870,597,646,667,691,072,
345,526,180,389,362,304,999,468,145,093,253,487,362,428,870,386,893,149,576,
051,186,360,907,945,129,397,891,113,789,016,909,238,064,655,193,521,792,643,
137,909,218,056,473,617,034,277,668,992,519,958,387,360,141,900,340,923,206,
852,464,340,903,131,921,594,567,780,673,644,183,886,145,693,439,700,604,560,
608,946,105,451,003,273,972,034,695,739,759,902,233,911,252,522,685,560,003,
908,319,368,406,973,245,883,836,634,384,840,944,989,865,879,848,759,721,443,
885,515,475,304,379,943,491,046,540,044,778,213,269,852,516,356,980,499,581,
587,056,845,347,995,710,399,661,324,866,124,332,699,038,682,106,732,931,059,
077,700,913,336,770,077,647,401,201,738,921,406,373,291,705,784,728,517,387,
073,453,244,011,094,890,022,698,984,471,212,287,731,675,002,021,166,609,308,
388,650,651,738,353,250,860,054,425,410,856,434,739,068,142,353,182,774,289,
073,814,543,985,913,778,130,410,704,553,763,798,527,249,239,624,288,591,764,
341,916,237,259,398,234,456,810,612,032,285,576,279,643,710,081,602,725,061,
419,524,466,666,918,800,566,717,564,530,556,279,717,244,787,521,384,376,530,
723,521,101,167,000,086,731,578,506,585,140,729,747,391,229,805,165,344,870,
886,351,266,197,323,254,743,309,288,295,662,431,731,416,646,188,687,497,749,
792,565,414,639,178,875,001,398,149,884,520,569,391,280,766,767,316,455,828,
820,844,591,313,108,404,409,826,753,460,545,103,735,499,794,530,972,069,661,
723,697,437,031,088,443,596,532,659,887,374,694,885,653,653,472,248,190,359,
009,244,153,744,492,086,600,578,445,472,466,373,999,078,236,116,554,825,455,
036,066,530,887,951,808,881,670,301,275,439,283,073,436,995,310,096,293,325,
056,896,378,751,772,249,762,056,573,958,331,211,848,169,697,096,240,342,855,
753,282,863,326,518,437,107,168,419,760,308,422,418,276,010,387,517,357,395,
032,267,581,231,063,679,623,245,221,589,135,165,135,057,888,222,964,810,072,
226,516,636,334,814,989,708,425,956,909,608,197,540,495,723,534,848,216,297,
113,599,579,198,789,647,616,802,392,891,732,921,822,092,469,989,603,735,326,
390,019,033,217,250,402,194,046,663,763,592,354,745,861,908,627,204,205,825,
784,181,061,489,273,571,500,827,538,742,866,762,845,261,998,735,378,546,485,
330,891,164,831,094,668,408,602,948,433,956,243,520,100,402,452,294,606,691,
490,450,845,749,237,623,834,647,443,632,621,867,023,857,599,503,517,724,773,
303,426,212,956,150,507,624,011,436,008,919,832,444,837,029,796,559,858,155,
637,220,885,457,571,667,455,824,672,926,940,852,560,095,288,969,486,088,116,
002,075,166,465,712,548,103,429,929,052,841,289,229,103,658,570,846,841,083,
078,029,394,103,672,801,731,762,782,395,087,704,897,291,845,092,816,367,152,
702,052,795,080,478,635,635,003,767,429,543,390,983,807,248,607,664,090,775,
696,395,763,550,541,441,942,552,233,198,686,917,763,521,180,108,886,821,714,
638,465,820,218,318,629,234,463,860,960,476,387,602,281,184,046,309,139,838,
633,643,013,915,422,301,057,114,843,020,629,522,289,788,370,050,562,778,020,
492,338,165,184,778,464,754,726,051,724,556,060,973,776,344,920,523,404,955,
260,672,398,159,754,674,563,054,481,205,543,461,084,519,709,982,262,033,823,
489,190,751,134,679,501,925,599,787,197,613,511,282,072,646,062,576,807,578,
875,123,921,725,840,861,085,123,529,308,124,488,995,371,020,650,868,799,119,
761,213,657,484,607,125,031,225,873,701,230,867,596,918,240,465,840,273,736,
436,714,048,127,757,256,522,639,400,785,644,082,911,125,636,783,920,408,658,
940,042,953,335,175,571,549,627,498,721,105,359,286,491,226,018,514,652,891,
483,977,955,504,740,873,944,515,638,920,387,438,711,728,136,401,304,150,184,
386,075,888,673,033,505,697,978,352,082,020,528,414,312,771,983,693,110,635,
481,917,784,856,317,213,708,554,248,365,008,367,830,214,896,138,713,390,617,
922,465,990,802,509,819,832,075,300,868,637,057,766,444,253,702,903,427,770,
939,662,740,061,048,885,095,348,875,790,484,908,560,800,885,219,558,922,003,
455,621,612,915,951,373,737,845,894,430,670,644,017,079,009,119,884,859,539,
496,349,363,763,677,430,264,478,363,679,807,351,231,750,650,964,725,781,758,
219,868,775,049,724,966,722,073,097,815,879,928,943,762,075,813,674,086,685,
822,743,792,507,947,692,720,310,681,522,589,721,000,390,140,772,780,555,986,
553,135,617,706,354,920,439,546,831,593,343,814,163,631,934,812,683,245,840,
721,169,563,802,055,233,529,202,638,666,860,025,641,424,888,247,035,993,805,
144,727,987,733,882,323,021,469,668,587,248,384,806,100,474,390,550,423,817,
244,780,336,495,753,749,328,660,963,230,534,790,010,015,222,115,696,580,831,
567,628,511,270,933,490,231,516,333,593,724,369,889,689,720,863,185,593,425,
665,202,786,268,711,055,279,280,074,600,940,399,409,675,711,121,543,261,985,
914,275,450,947,167,441,805,081,452,424,943,646,332,973,877,110,888,141,017,
062,271,380,715,013,212,427,721,019,484,542,923,696,851,383,135,095,396,313,
730,558,452,819,591,523,003,020,299,444,120,736,380,528,845,310,834,140,058,
710,605,654,069,080,236,413,684,196,773,321,246,188,748,384,311,251,152,694,
551,854,505,282,374,712,659,520,105,183,338,953,906,455,815,126,620,849,040,
100,545,190,770,477,718,136,784,540,217,948,496,702,765,227,053,351,475,760,
630,181,164,726,302,791,530,947,872,599,433,721,538,244,528,285,804,413,222,
478,186,165,828,914,696,353,678,450,300,955,137,078,295,867,932,992,488,937,
568,002,077,462,463,482,506,088,179,295,196,536,204,249,296,524,582,827,197,
121,590,852,600,011,848,831,742,294,881,739,523,660,578,059,301,679,794,037,
510,969,256,792,949,807,149,329,513,327,726,524,036,909,717,636,918,786,610,
937,789,812,182,447,565,357,881,616,230,916,998,892,742,775,535,607,393,751,
048,321,230,760,212,316,956,378,844,982,755,405,168,367,894,411,250,280,257,
490,856,092,083,576,854,312,484,112,506,464,264,975,581,805,901,558,712,306,
658,844,020,779,320,164,849,000,625,304,576,029,779,791,598,742,210,483,638,
829,296,763,513,452,029,160,104,501,338,360,313,526,318,357,898,079,220,860,
912,178,264,761,761,571,828,540,746,523,288,164,863,647,751,154,408,136,402,
227,448,341,207,262,310,763,470,412,092,704,155,042,914,992,306,199,466,264,
743,489,722,022,218,609,000,181,579,187,322,811,035,512,023,901,328,926,696,
659,342,289,234,748,544,889,315,110,316,444,955,809,883,187,654,177,608,761,
329,155,911,915,754,863,581,046,396,786,805,221,910,378,589,171,665,112,115,
036,699,896,205,100,597,629,914,651,454,889,102,911,813,341,094,305,711,442,
500,245,680,674,927,099,065,274,602,790,311,635,137,641,959,004,391,142,866,
374,713,298,982,597,979,335,115,699,568,966,003,329,661,364,282,891,820,083,
006,652,746,651,781,234,408,339,271,725,790,871,561,755,076,785,471,043,686,
211,817,664,136,127,509,175,016,994,930,268,688,108,167,223,046,335,200,141,
559,957,045,618,053,765,042,442,967,108,228,254,124,705,421,019,232,374,079,
231,457,107,966,669,730,712,698,943,171,363,148,549,421,450,416,023,757,966,
948,948,946,021,542,985,099,650,680,443,851,253,422,168,057,580,227,507,033,
249,845,629,036,214,699,891,502,679,604,235,405,838,219,125,987,748,787,473,
263,062,524,398,671,171,236,566,959,362,461,434,418,946,990,883,143,545,206,
389,500,213,394,704,412,620,638,327,988,718,813,567,221,639,292,072,670,974,
277,099,209,751,006,506,610,038,579,761,829,519,690,838,807,688,265,343,686,
834,538,088,974,200,912,130,315,701,195,278,499,844,364,648,278,292,206,560,
123,940,349,121,153,291,525,993,705,827,793,888,086,719,558,429,904,398,549,
477,390,102,047,454,683,043,677,542,952,505,197,369,937,826,236,221,699,621,
167,060,263,769,295,135,375,559,645,099,378,506,824,483,195,425,610,785,999,
924,734,659,631,570,214,074,395,394,176,770,952,466,035,317,753,387,648,439,
534,409,978,444,549,213,820,342,620,182,656,038,208,375,536,627,761,642,213,
312,113,846,599,545,102,811,197,548,912,851,804,956,718,599,987,919,052,808,
782,707,075,159,299,394,180,639,030,356,978,594,136,595,935,072,020,639,385,
462,093,264,524,730,567,917,369,522,175,082,117,152,452,699,685,269,260,588,
110,232,773,150,452,511,431,506,463,762,440,532,103,160,773,192,429,256,625,
721,231,094,911,097,024,501,544,863,957,664,423,402,434,820,050,567,670,031,
901,768,477,670,756,805,451,813,234,293,106,029,519,114,991,694,348,255,976,
907,984,999,607,340,668,902,416,155,975,991,604,413,867,058,512,560,760,081,
595,137,076,650,498,780,193,717,326,044,216,640,840,132,657,265,217,050,210,
186,486,504,705,278,531,554,240,383,375,597,426,054,442,030,586,730,797,265,
035,751,799,183,596,696,703,218,825,083,334,540,331,391,169,115,898,549,270,
644,799,540,664,580,232,834,723,046,230,632,073,897,615,741,966,594,597,975,
647,878,635,116,557,309,991,452,221,726,094,934,927,404,658,530,589,753,884,
014,851,763,340,454,035,176,440,818,351,654,178,715,017,781,772,631,526,841,
012,748,986,506,575,971,984,131,062,715,946,432,592,816,189,211,197,659,968,
543,530,804,780,568,090,057,736,031,794,907,801,994,157,787,525,297,709,995,
620,051,647,011,834,340,334,104,680,343,573,656,403,498,693,532,963,801,245,
260,434,751,463,545,810,422,840,540,394,891,239,200,871,021,476,339,551,857,
991,804,439,669,645,621,553,460,701,127,278,965,306,768,075,460,756,329,335,
674,487,612,694,298,028,316,319,557,177,562,150,980,936,567,902,018,305,355,
638,394,619,046,243,629,162,627,201,341,880,701,098,371,704,221,019,433,256,
579,005,040,397,353,434,476,195,752,604,533,931,844,767,683,388,471,505,796,
026,258,431,264,354,279,666,712,360,295,153,489,029,381,891,936,006,253,743,
779,328,510,995,976,442,072,189,867,364,429,708,911,458,164,791,802,854,294,
210,816,800,530,088,773,275,247,336,634,520,782,617,541,506,914,510,300,438,
455,380,756,210,087,719,538,161,320,924,555,211,269,994,259,873,626,994,661,
289,312,863,539,990,775,592,907,058,732,112,456,964,803,317,001,078,311,201,
875,449,274,207,040,138,023,833,963,893,280,836,502,588,858,818,339,241,366,
737,469,485,125,411,604,242,380,222,342,429,281,307,527,706,655,996,993,606,
494,097,073,242,026,773,358,804,874,037,002,666,867,641,481,102,469,816,762,
357,294,855,491,912,664,301,656,807,051,464,021,471,499,816,366,689,053,241,
089,301,908,897,089,368,166,978,835,125,694,961,798,038,655,863,278,262,486,
436,846,129,828,067,985,906,833,461,606,231,348,706,410,850,154,665,958,662,
512,031,297,764,483,562,750,664,129,462,011,978,497,194,657,536,867,796,209,
043,409,044,847,377,358,358,380,221,043,359,080,519,607,924,729,321,840,873,
875,491,099,411,774,786,010,437,033,161,771,010,383,361,551,898,428,689,439,
119,620,898,315,361,891,143,802,547,852,192,147,399,503,013,792,075,720,026,
562,391,821,968,896,834,863,254,926,928,633,155,292,979,119,352,440,865,852,
756,217,740,219,089,399,092,564,511,827,754,040,840,781,096,694,415,808,387,
624,497,956,267,887,770,521,160,646,517,395,065,776,960,409,347,878,912,724,
544,959,371,006,389,472,589,231,155,564,702,906,899,676,983,869,189,907,999,
956,459,210,061,695,128,771,389,302,425,213,465,280,512,383,655,233,622,982,
111,509,689,512,437,111,934,621,826,520,608,256,138,509,085,565,119,402,260,
824,244,369,584,921,966,186,159,171,179,689,922,178,360,081,178,974,843,700,
634,407,470,358,311,963,860,740,206,011,827,424,800,042,196,292,528,293,525,
322,891,869,982,878,846,683,988,543,711,753,111,090,006,009,171,825,565,169,
618,695,684,967,119,151,457,679,684,527,883,302,928,226,824,170,564,448,231,
492,173,429,601,472,486,030,251,272,596,668,286,627,951,537,096,301,452,477,
813,497,888,381,327,271,090,063,068,675,538,659,955,718,046,137,080,426,984,
164,207,924,889,163,704,408,194,414,810,011,138,801,115,028,969,514,705,663,
413,276,923,374,224,481,549,590,997,189,552,374,920,266,462,289,886,096,964,
224,184,150,294,389,414,764,604,221,044,957,150,457,311,754,404,151,391,736,
543,749,984,409,295,263,426,787,084,064,917,556,197,780,872,850,173,183,947,
887,274,206,262,596,829,906,105,029,838,430,363,429,067,532,436,749,994,897,
905,137,289,560,908,285,274,217,508,152,755,449,829,065,981,786,467,741,282,
589,155,292,293,494,046,659,789,360,233,085,428,569,447,579,083,620,083,359,
654,731,339,035,247,361,306,285,494,719,807,714,515,324,374,201,412,637,192,
259,833,144,956,109,590,822,874,172,936,235,596,120,314,856,002,823,013,794,
510,730,841,852,039,623,776,255,027,533,850,924,642,052,600,583,710,389,578,
450,434,252,609,393,970,277,178,482,913,036,960,337,948,955,280,006,446,454,
933,511,527,174,290,693,804,541,393,246,620,414,015,808,549,536,751,203,806,
521,957,035,373,123,776,074,837,324,152,039,862,569,034,064,809,964,413,152,
829,603,605,149,186,582,945,325,088,891,378,417,721,984,569,616,320,400,537,
998,001,949,001,929,032,424,275,795,692,792,730,009,570,163,835,317,670,258,
623,242,220,465,291,503,310,546,496,525,252,728,868,076,043,825,754,387,588,
743,458,494,347,836,118,029,622,174,691,580,161,571,430,938,310,257,064,726,
884,745,701,223,056,441,911,213,884,869,031,669,946,513,732,324,808,389,172,
307,228,361,675,636,704,587,247,729,300,044,475,727,062,947,190,435,202,713,
869,025,353,047,950,941,317,526,182,365,916,959,143,032,310,244,221,848,975,
723,543,981,576,927,524,047,207,308,184,239,884,646,375,108,602,762,758,556,
559,882,110,584,425,238,514,452,646,892,947,939,173,284,283,394,959,105,171,
468,662,499,263,251,721,352,016,395,278,068,055,296,494,762,037,714,417,983,
375,389,747,552,508,746,362,295,097,109,851,226,640,842,031,673,708,439,475,
013,036,941,029,947,254,726,373,984,764,205,658,181,057,595,222,162,473,883,
373,918,688,973,047,638,768,867,569,172,816,693,406,281,351,698,827,769,929,
604,071,935,535,847,445,186,235,127,347,173,464,657,078,162,439,771,102,454,
742,465,878,278,340,803,353,131,522,458,689,552,829,755,995,007,917,644,577,
315,935,449,553,200,421,529,909,902,161,807,318,383,317,846,054,960,669,959,
451,123,374,814,695,076,290,426,291,851,193,838,879,923,299,213,816,354,672,
493,799,383,834,103,250,601,000,722,972,196,147,547,017,640,613,192,416,427,
023,828,333,984,436,696,872,940,839,930,378,546,381,090,751,077,513,734,498,
359,211,219,361,484,756,923,558,635,412,537,343,354,979,563,970,620,965,809,
707,425,077,815,748,954,319,733,655,833,543,829,284,795,946,536,764,948,375,
503,269,314,513,791,105,245,471,921,802,987,178,909,551,724,352,957,711,580,
058,868,260,136,567,294,716,258,100,547,055,450,572,765,668,813,534,379,198,
246,169,654,215,696,110,308,617,472,281,355,027,445,858,293,123,488,274,991,
710,893,110,137,490,800,706,931,975,131,610,918,811,545,073,874,777,289,755,
372,099,333,415,107,914,573,882,965,302,907,520,448,915,851,525,657,326,905,
792,860,022,979,523,581,291,767,040,085,813,684,401,637,615,816,971,365,122,
685,799,156,567,523,488,961,106,994,709,824,442,550,192,261,460,709,942,421,
796,340,164,772,407,513,386,604,731,465,176,145,772,493,243,666,093,409,207,
087,140,489,873,178,000,122,558,400,614,488,368,665,117,745,947,804,484,650,
757,794,157,040,755,464,741,320,269,184,487,974,788,794,220,748,172,136,912,
034,039,822,751,352,497,935,903,075,389,746,867,662,334,321,723,879,860,048,
912,422,088,853,946,137,513,606,824,824,288,637,774,630,684,390,861,886,721,
617,288,346,338,388,869,158,183,295,397,606,838,496,196,549,929,040,107,984,
501,090,750,138,404,355,008,642,890,214,618,363,958,745,754,756,336,673,787,
603,029,165,209,755,234,817,883,962,025,778,088,999,865,480,044,775,546,645,
231,485,320,496,379,742,546,833,362,890,605,292,933,012,751,099,462,644,197,
472,193,750,129,757,209,484,811,903,367,851,792,657,000,937,380,890,950,054,
865,487,312,461,475,878,443,569,156,132,323,909,051,430,438,012,226,384,958,
328,783,162,967,299,666,388,013,863,714,633,931,721,700,574,551,447,632,623,
763,388,706,809,684,023,018,570,800,113,160,372,373,536,082,701,903,553,248,
403,733,719,717,214,496,031,913,412,983,357,469,980,020,401,225,035,331,520,
145,629,798,503,450,910,220,586,335,267,859,840,428,827,648,318,665,588,853,
339,209,670,624,309,561,499,601,739,406,881,114,101,527,741,357,283,512,814,
751,481,017,212,854,052,557,712,458,827,784,766,701,948,386,980,970,053,769,
381,896,352,913,704,127,203,523,595,940,816,938,927,390,964,191,522,896,618,
936,909,452,440,194,887,165,452,549,728,574,796,298,944,025,432,899,060,814,
268,134,895,680,618,341,681,425,223,507,951,944,031,051,207,671,917,438,213,
046,837,778,693,475,165,007,578,336,915,424,186,410,016,712,817,626,320,263,
708,777,335,840,021,328,624,147,605,272,696,707,901,710,871,519,764,830,822,
712,414,382,374,285,442,443,732,491,481,077,006,807,092,047,462,926,289,017,
855,963,951,253,047,328,995,154,213,592,485,472,668,960,389,914,198,102,980,
804,660,051,091,787,957,814,204,035,431,398,407,508,465,320,587,293,044,924,
388,490,602,654,841,977,639,736,595,963,811,884,410,408,060,824,460,442,640,
934,629,428,704,436,624,877,860,138,153,580,450,584,867,041,935,713,778,302,
082,440,460,339,651,996,288,642,412,845,609,215,719,761,038,248,458,181,276,
755,504,489,196,153,615,050,229,223,708,028,510,258,658,075,537,218,291,087,
152,319,717,046,292,600,307,186,553,654,093,556,705,039,076,929,836,844,699,
470,520,243,893,620,136,067,907,992,728,140,560,988,341,317,670,055,353,837,
760,104,276,213,447,243,534,293,218,377,951,231,629,471,827,792,264,431,968,
307,616,430,384,135,194,574,187,396,560,205,158,663,127,773,345,566,777,629,
371,387,713,677,195,989,166,241,295,326,958,015,249,683,725,884,154,220,280,
415,923,951,383,548,526,904,693,825,709,955,296,433,867,940,965,199,856,909,
543,225,470,431,671,259,004,093,684,536,830,765,994,378,000,277,113,703,119,
779,603,096,314,572,487,976,529,117,723,267,282,533,081,523,391,259,240,697,
304,997,757,810,427,492,876,878,092,919,732,425,866,551,404,307,799,288,263,
879,642,254,654,463,165,467,154,906,316,956,993,715,109,035,543,496,474,209,
843,202,620,435,302,988,113,376,612,755,366,717,740,368,444,079,122,452,214,
572,758,778,991,309,518,734,740,809,892,640,074,372,560,237,613,850,724,757,
143,035,773,943,597,255,610,873,784,646,033,160,984,067,538,995,807,639,736,
869,229,737,202,123,501,801,340,857,539,022,030,960,017,329,879,564,632,374,
058,357,404,620,548,591,647,019,480,220,799,227,934,413,957,984,612,559,783,
977,193,239,814,799,941,338,178,707,722,365,198,202,770,876,343,673,094,937,
745,633,609,039,856,658,404,846,448,593,018,798,703,473,007,025,857,726,942,
863,001,726,137,757,604,831,060,617,454,254,160,804,160,971,264,345,637,986,
711,154,711,198,009,760,627,552,618,309,675,648,453,493,957,575,923,786,266,
259,267,515,155,016,845,069,230,890,529,113,329,822,952,654,872,951,944,759,
014,163,679,752,307,728,526,569,964,166,224,800,092,493,559,430,469,477,151,
357,969,531,469,735,538,529,540,081,350,323,066,926,257,607,266,166,398,442,
268,227,682,933,968,766,121,886,106,996,317,985,514,338,519,532,986,704,122,
828,929,847,289,680,133,068,661,898,500,283,663,168,881,078,180,801,925,187,
667,493,594,957,589,298,400,659,840,806,911,928,366,236,417,305,310,844,702,
543,825,510,195,686,507,552,280,754,487,835,760,717,311,333,469,842,589,052,
016,777,876,641,058,931,649,305,864,815,183,404,527,900,123,363,635,541,188,
613,439,251,870,467,921,797,463,762,179,492,305,729,047,085,608,028,357,192,
233,567,549,403,804,865,067,664,746,183,285,424,561,821,815,495,728,363,401,
279,119,550,018,429,778,015,589,052,379,726,146,621,657,631,299,414,449,403,
737,025,018,589,406,300,373,584,336,251,846,869,222,971,009,910,307,844,146,
198,501,529,186,923,832,342,517,620,657,162,454,587,949,143,286,177,565,616,
192,495,570,654,649,807,561,775,734,937,127,292,286,165,937,983,894,765,739,
026,245,674,859,960,818,982,155,166,594,296,867,228,315,875,262,599,386,545,
675,412,959,784,644,067,750,715,267,045,042,594,437,687,602,073,263,058,067,
009,393,289,526,989,571,712,770,931,696,843,847,331,811,718,071,868,477,743,
320,612,184,624,207,461,020,068,088,161,329,429,569,720,522,726,880,258,858,
206,986,454,133,602,839,446,888,265,681,964,620,281,696,879,214,973,022,526,
176,427,698,176,044,186,400,761,820,598,643,873,474,462,875,153,466,416,035,
951,423,118,790,125,259,194,767,345,365,521,214,232,932,282,407,895,119,428,
951,343,401,086,555,087,913,347,493,077,473,823,761,655,010,382,639,329,699,
536,291,039,416,685,300,861,996,438,052,945,299,932,687,725,989,517,143,012,
033,193,495,939,942,354,008,709,357,461,719,051,766,415,596,528,756,917,321,
717,891,241,659,481,295,107,266,858,257,779,847,583,996,691,554,488,137,281,
385,898,992,010,903,150,515,149,036,660,417,552,354,473,967,524,155,951,217,
166,285,281,021,024,898,915,296,236,669,456,661,956,564,389,071,498,222,783,
212,232,391,420,829,453,281,668,935,982,597,088,259,775,042,469,788,493,052,
602,495,750,822,239,923,822,975,364,854,916,318,303,788,651,514,087,028,217,
179,295,761,208,392,836,477,806,160,301,931,307,299,498,523,582,242,841,643,
458,974,233,979,733,876,680,553,978,019,339,984,061,832,676,423,385,162,510,
908,435,445,066,925,054,426,559,389,254,185,520,268,863,905,928,812,030,518,
740,016,678,686,188,188,892,257,501,087,101,868,459,507,773,633,272,023,475,
972,488,820,283,006,307,647,957,574,336,726,014,255,658,802,954,555,198,464,
331,799,268,447,196,788,604,114,266,384,543,805,341,913,427,801,369,008,667,
085,616,797,849,753,509,759,019,555,895,163,918,879,023,259,682,336,569,241,
522,726,758,146,493,823,137,354,963,554,922,838,462,008,867,565,045,493,861,
839,778,153,627,902,831,788,640,822,613,368,912,045,100,239,871,044,046,930,
710,966,381,210,834,898,114,844,630,537,833,182,689,604,284,052,163,655,470,
212,246,187,367,725,676,166,810,305,487,889,959,366,714,022,691,160,308,142,
282,307,875,041,467,847,318,666,325,974,214,123,110,037,033,777,568,202,506,
750,428,867,347,431,590,871,068,809,442,558,316,480,197,349,372,808,476,174,
996,370,791,983,423,857,096,033,137,027,409,716,733,307,345,757,333,250,257,
332,581,706,262,594,721,902,680,192,265,526,203,510,754,127,295,324,600,347,
729,208,245,618,968,999,034,416,434,873,040,280,473,715,658,552,581,711,245,
555,359,500,470,765,574,612,745,408,196,515,993,129,772,054,642,356,452,415,
260,915,673,554,877,424,841,231,620,186,734,754,848,026,134,296,512,114,022,
111,937,722,707,662,354,450,561,635,969,347,927,080,063,273,869,929,172,475,
517,149,990,602,148,463,855,571,317,875,983,461,922,391,944,650,802,794,698,
120,862,861,950,813,222,172,669,480,560,110,040,816,700,588,631,376,785,188,
337,346,510,947,727,073,251,462,884,998,812,268,125,426,641,726,094,426,936,
912,068,955,937,257,325,461,744,416,882,035,117,864,447,761,935,986,995,327,
570,883,903,704,204,162,456,911,689,643,617,169,177,347,969,534,786,242,465,
486,593,069,895,183,871,722,451,517,177,509,283,629,804,543,575,098,323,281,
220,401,272,320,641,986,473,685,250,435,472,314,843,368,214,798,584,851,057,
953,326,158,970,106,197,103,042,109,051,423,203,571,328,046,331,885,686,514,
645,648,224,278,154,278,719,792,006,466,276,427,207,621,692,539,797,391,072,
223,095,156,620,974,437,942,962,282,397,410,265,843,974,897,359,190,984,701,
806,305,877,499,383,111,733,666,668,369,524,074,788,857,212,259,973,509,580,
033,655,809,951,856,134,715,276,205,650,042,784,221,545,696,459,249,507,358,
851,676,790,813,426,816,998,966,691,371,188,575,660,697,502,699,515,421,538,
816,223,259,204,339,402,364,517,988,475,841,190,255,177,422,190,103,016,907,
908,326,431,938,701,676,437,360,205,902,110,828,868,744,827,677,357,341,605,
538,520,158,203,075,125,307,515,294,875,248,808,846,323,131,401,028,275,823,
774,804,578,300,655,778,633,923,577,687,486,435,983,651,683,774,914,605,605,
325,383,887,864,957,349,800,275,128,665,505,082,056,014,590,278,010,685,053,
257,134,224,781,759,431,496,617,548,636,876,076,234,629,503,007,977,636,351,
795,765,931,654,107,847,495,854,275,247,935,840,726,164,579,805,871,992,241,
721,820,609,414,060,579,912,514,845,758,837,670,748,658,596,194,708,406,725,
147,600,533,633,947,473,599,581,080,535,206,491,195,867,132,853,856,796,416,
025,234,693,878,050,413,915,432,530,167,318,620,627,718,479,385,647,836,908,
727,178,295,635,550,781,003,864,973,945,397,568,076,053,557,207,074,594,404,
745,610,336,342,954,415,420,234,568,353,274,551,105,764,394,885,657,202,513,
436,214,444,940,236,015,351,507,659,893,574,677,145,647,225,271,073,932,343,
599,006,550,722,713,008,059,354,246,485,778,032,501,558,087,464,417,266,000,
496,625,331,068,848,738,019,278,245,974,960,898,628,932,098,972,516,975,179,
543,896,892,095,422,556,676,109,926,116,958,539,616,439,478,870,283,715,519,
293,415,771,298,636,391,531,834,462,578,756,283,709,833,343,208,728,672,984,
936,670,886,793,439,476,576,671,017,942,644,046,663,021,756,292,900,566,283,
212,371,521,598,522,295,045,096,774,693,454,038,005,906,273,853,352,311,952,
605,497,216,424,611,938,671,763,174,626,589,205,990,014,146,078,615,729,723,
632,628,736,647,687,232,483,196,818,327,324,151,439,498,930,367,354,782,598,
681,551,159,560,554,461,582,594,567,428,407,876,349,836,070,855,334,871,940,
604,229,263,243,424,869,731,114,755,859,308,609,382,182,575,060,257,361,160,
747,843,464,081,929,419,835,897,081,702,910,500,393,504,379,448,697,274,979,
040,262,002,459,298,504,214,194,927,288,948,521,885,800,036,431,054,194,604,
017,424,529,035,426,962,989,018,042,658,203,216,355,255,224,058,448,251,303,
779,162,760,359,131,574,681,443,254,952,689,708,671,667,131,191,721,102,724,
191,250,580,296,318,799,783,172,746,991,944,513,323,700,076,527,556,087,640,
738,367,402,772,317,986,872,129,039,983,563,481,842,093,829,666,970,058,563,
806,608,960,636,883,945,335,964,003,573,024,362,835,913,750,228,159,043,295,
016,457,289,658,661,217,763,627,665,892,839,722,129,862,722,655,247,952,631,
095,575,735,108,862,318,065,929,805,529,607,721,867,584,969,989,684,533,619,
908,957,121,301,436,382,804,684,474,662,255,409,002,526,932,225,062,337,473,
473,391,225,725,273,368,763,872,415,672,764,253,769,208,648,408,512,093,466,
010,295,299,026,345,651,221,961,623,808,797,115,581,796,375,712,772,189,902,
672,037,228,035,931,582,419,210,025,135,526,948,177,648,115,325,287,305,195,
546,098,496,860,674,701,019,998,188,108,845,597,700,153,389,642,838,531,849,
390,093,164,887,480,606,951,809,294,938,413,941,326,963,640,631,678,611,271,
933,612,518,717,109,319,642,574,737,387,740,607,256,968,901,193,589,433,105,
441,642,296,936,396,226,588,091,490,237,197,506,973,343,828,189,965,900,865,
024,859,799,552,339,404,441,361,815,690,660,545,874,884,521,361,225,776,001,
549,351,653,926,863,990,076,361,837,741,116,910,814,100,527,469,588,346,832,
945,451,102,243,380,122,631,517,601,139,073,868,254,162,916,967,522,106,009,
504,085,961,570,328,555,016,507,717,490,682,032,053,538,170,038,560,214,844,
022,991,217,928,453,010,888,201,441,583,049,536,655,485,941,342,764,060,588,
892,251,141,850,713,323,354,913,303,647,887,567,574,616,969,370,945,041,878,
958,666,743,033,251,495,773,700,982,371,427,207,524,254,086,108,812,375,251,
653,112,858,527,093,708,741,094,440,209,948,333,572,932,652,134,770,248,335,
881,948,851,830,911,537,438,137,754,513,089,594,504,214,861,841,134,043,687,
923,426,882,076,231,186,945,401,950,892,466,524,948,864,284,178,083,388,072,
946,156,951,320,413,915,125,844,852,768,971,533,976,465,821,386,085,184,781,
739,997,782,089,046,073,780,469,927,716,247,253,393,411,869,479,160,482,762,
841,053,450,606,718,218,833,340,056,872,408,751,404,489,557,580,725,364,641,
216,126,892,289,967,975,193,772,022,302,457,077,450,442,632,106,120,002,529,
869,956,729,935,758,342,877,146,818,095,166,330,346,181,235,223,931,449,159,
879,912,529,841,284,262,129,654,206,002,184,356,220,606,929,107,830,243,443,
835,215,902,507,566,886,866,654,647,712,846,438,086,074,106,123,227,689,930,
325,500,599,954,598,194,759,295,965,124,081,369,514,230,525,848,136,263,582,
304,826,005,397,469,018,699,157,765,663,074,650,625,439,613,825,611,606,999,
958,855,987,557,572,863,671,647,006,446,900,395,693,930,280,378,436,507,654,
083,887,700,565,229,028,852,086,136,702,168,666,154,280,812,725,648,825,397,
691,260,705,681,226,316,689,712,091,966,699,497,962,826,449,786,976,580,474,
728,007,671,281,290,111,885,567,181,580,867,860,224,811,038,213,829,401,067,
672,381,155,551,351,833,900,725,594,387,091,386,903,892,503,098,451,088,128,
692,594,327,975,235,612,679,108,967,015,469,889,549,558,513,390,621,934,880,
392,612,119,005,709,337,303,620,018,204,651,218,617,370,471,751,888,978,841,
340,115,545,565,301,926,423,850,104,595,881,151,904,443,488,209,863,350,224,
184,521,120,222,337,060,360,719,655,106,745,858,606,563,760,561,033,091,705,
159,527,766,750,900,607,445,713,168,726,919,115,758,778,699,156,009,816,770,
105,156,354,012,349,008,319,253,481,812,967,518,954,883,921,814,369,008,454,
524,930,302,283,901,423,401,368,874,179,742,939,320,753,551,407,248,924,858,
746,538,099,780,749,531,391,508,337,570,994,036,896,514,651,296,367,461,416,
141,080,660,414,430,490,384,893,233,318,177,468,026,264,273,274,376,690,852,
682,618,881,836,997,024,176,366,709,015,223,289,762,255,968,524,082,079,809,
686,188,771,324,266,886,275,797,829,376,194,832,039,734,928,493,741,528,715,
150,395,351,836,241,367,786,977,072,300,055,605,076,885,448,504,066,726,681,
241,246,456,606,966,767,936,293,631,976,790,490,686,884,429,759,029,982,233,
783,918,262,991,333,725,600,194,397,912,378,857,481,476,966,581,357,184,862,
944,616,995,607,707,802,067,938,092,089,273,942,438,245,569,474,202,226,749,
711,088,953,655,334,019,742,214,270,939,232,824,434,898,172,766,210,167,307,
907,318,433,444,189,497,260,331,094,174,171,981,143,879,384,248,021,118,057,
386,174,909,946,189,239,598,840,211,802,097,372,840,474,380,739,498,870,879,
316,338,808,115,784,688,642,007,657,607,061,529,309,804,542,665,973,052,177,
638,121,286,301,264,694,888,037,404,963,625,898,584,594,848,170,887,427,477,
715,342,301,683,642,502,527,088,719,723,992,098,979,872,452,413,471,827,185,
533,272,573,689,167,797,245,312,174,196,528,398,431,632,362,761,937,607,646,
635,178,968,342,310,667,354,653,546,474,000,396,833,378,469,552,410,636,852,
567,986,445,016,039,246,068,334,273,543,097,568,783,509,360,683,381,768,389,
387,942,759,395,515,840,216,909,841,530,719,284,235,804,188,863,054,133,990,
925,391,524,994,799,567,081,388,554,560,347,603,341,515,569,432,973,794,987,
850,420,028,752,371,309,373,061,180,782,186,049,286,154,222,671,343,031,742,
701,800,108,959,376,654,679,394,200,370,328,381,331,508,939,179,541,524,644,
534,415,681,151,085,459,872,996,051,326,484,773,968,893,069,570,066,209,594,
985,750,977,383,657,161,964,342,961,737,457,491,907,625,110,029,699,983,916,
333,377,971,281,563,624,076,301,573,581,978,263,779,477,456,518,854,690,612,
412,571,178,965,902,411,669,423,128,010,907,290,678,869,926,854,968,631,087,
744,633,904,940,529,225,157,241,361,021,828,657,587,968,270,178,709,258,445,
794,180,318,849,819,437,937,245,956,575,507,245,097,650,633,721,708,074,153,
527,083,310,698,018,924,409,699,982,509,606,492,164,644,164,800,010,327,381,
623,392,043,919,033,370,953,979,132,656,256,633,749,183,685,552,957,844,360,
558,847,467,718,109,196,122,454,478,823,662,010,970,028,683,200,122,722,978,
110,497,363,512,630,396,343,416,237,313,185,764,393,332,909,339,633,077,232,
111,014,371,717,729,734,580,843,689,319,022,913,871,040,203,154,089,102,601,
478,191,338,283,103,513,703,203,537,447,543,569,844,593,147,742,336,047,276,
796,801,275,554,691,237,294,163,524,967,522,232,704,509,095,951,501,151,549,
955,136,763,210,638,463,872,614,832,680,033,137,372,240,916,897,503,976,340,
027,432,860,888,854,503,880,118,383,424,877,779,137,382,157,798,345,445,137,
271,936,982,007,883,111,904,091,294,504,889,760,985,373,985,243,732,393,808,
809,336,492,920,611,718,996,347,050,232,688,163,214,042,373,100,901,658,085,
782,412,700,478,472,053,194,100,376,520,282,180,342,447,672,294,534,508,602,
786,741,746,790,361,430,783,772,229,923,725,423,252,503,787,818,984,524,339,
435,242,435,164,599,070,514,908,435,629,994,657,971,423,748,086,715,092,051,
808,436,670,890,640,969,186,612,378,633,447,190,911,574,776,815,925,288,599,
404,006,251,479,527,406,281,600,012,072,900,827,012,734,483,820,084,738,225,
691,201,749,310,264,235,836,480,867,508,557,585,656,586,232,892,637,876,316,
810,913,129,610,139,294,270,870,273,484,813,739,507,266,858,622,756,612,733,
652,569,581,803,086,562,194,868,217,546,231,707,366,362,586,175,392,958,219,
820,419,235,019,554,630,919,918,941,047,696,962,119,302,848,788,402,795,876,
758,119,359,101,802,288,581,664,208,346,569,982,600,633,428,780,674,205,187,
735,420,083,297,150,812,210,542,707,886,004,218,644,761,258,720,288,396,095,
565,839,733,469,887,191,576,019,170,814,733,020,563,498,591,910,299,835,622,
897,026,219,637,173,306,086,149,177,315,330,693,065,248,909,123,259,104,381,
690,315,598,839,197,701,937,420,308,768,943,397,744,794,016,522,654,077,635,
723,273,711,181,707,431,630,352,089,110,170,553,689,816,188,850,805,011,020,
847,763,110,436,611,178,151,235,000,790,380,565,247,415,102,497,831,793,818,
765,527,930,438,509,019,416,130,631,248,041,180,351,862,365,750,588,401,813,
191,701,103,079,077,677,028,855,240,821,466,427,248,989,920,255,585,271,361,
759,140,657,000,922,676,017,222,798,377,632,312,991,296,323,305,158,993,580,
475,114,104,529,904,543,330,615,195,796,882,632,422,325,399,008,654,168,262,
696,541,542,768,951,870,418,686,980,058,997,998,821,981,385,770,247,404,674,
007,219,576,740,920,771,408,647,275,685,501,671,321,200,063,834,175,796,872,
690,016,264,588,157,899,310,993,133,920,102,170,166,157,708,738,336,777,756,
906,483,058,013,768,666,067,301,555,811,072,178,315,042,476,208,975,535,765,
000,277,209,660,473,630,720,248,190,884,982,993,851,811,031,640,251,340,267,
958,239,270,705,600,862,496,574,179,056,084,709,826,509,620,192,371,127,772,
542,946,784,165,437,132,861,814,358,590,776,914,484,196,894,497,926,281,567,
978,066,444,017,529,251,464,005,938,640,442,366,846,669,403,590,204,444,360,
513,338,509,372,799,666,177,072,292,405,718,259,153,960,007,441,900,018,123,
465,843,744,605,525,085,376,328,636,532,547,345,331,856,453,639,580,049,509,
542,219,310,040,074,283,936,976,643,956,748,890,858,624,950,029,398,925,501,
817,948,708,430,281,517,529,163,786,275,849,442,787,021,351,908,107,912,207,
788,484,620,563,877,015,496,463,328,643,855,337,746,568,669,145,512,750,166,
746,877,212,671,307,653,227,484,078,162,830,131,650,174,118,814,771,389,850,
071,111,633,515,420,277,924,298,338,554,652,806,654,005,698,867,669,934,859,
682,834,588,562,501,863,162,216,678,267,798,096,114,919,046,449,316,348,430,
094,028,739,261,477,779,649,900,059,941,599,677,027,575,761,904,214,186,444,
266,514,134,897,002,625,323,006,973,162,481,121,600,548,615,713,257,955,026,
906,306,259,718,754,879,847,640,894,560,266,623,708,282,071,100,726,617,308,
394,149,777,709,382,903,327,872,161,368,836,602,831,717,651,656,370,814,208,
512,326,281,385,231,738,817,752,552,353,048,775,625,813,917,287,823,834,890,
160,305,937,946,032,200,676,368,144,491,022,619,827,485,700,356,206,767,354,
330,545,109,841,534,912,349,650,212,098,277,283,234,677,887,181,088,565,497,
792,576,407,536,156,286,187,782,996,700,193,807,677,491,181,835,781,189,151,
496,565,868,854,192,859,761,567,455,006,866,079,666,727,802,046,323,769,723,
607,863,336,250,310,103,997,892,203,250,904,220,674,353,008,868,731,937,233,
553,657,356,897,422,259,774,285,660,126,283,033,569,861,445,614,763,472,564,
238,448,236,895,166,665,752,064,248,484,101,523,347,618,474,982,994,491,026,
750,337,578,801,294,214,728,304,140,115,593,160,858,295,079,237,925,537,622,
405,059,001,064,027,076,210,842,281,033,271,958,875,738,339,448,508,770,005,
440,370,765,226,228,292,932,934,356,817,102,427,850,341,458,061,101,387,023,
994,340,986,906,245,745,278,681,709,292,034,803,755,342,669,820,265,441,270,
625,134,065,267,251,830,852,771,502,782,023,979,804,893,026,163,469,130,310,
392,378,363,734,491,666,794,984,113,130,880,696,883,030,683,145,567,290,952,
620,502,961,260,318,628,501,819,302,458,419,704,446,006,524,424,190,568,190,
750,747,909,806,370,056,595,904,008,703,964,264,606,463,325,458,266,181,570,
635,980,055,137,068,088,977,416,339,249,153,590,574,914,143,816,835,747,038,
296,980,460,689,157,370,028,626,763,502,652,087,441,901,309,170,312,335,201,
547,323,507,774,543,685,728,694,999,969,543,912,771,963,234,510,245,431,200,
893,717,609,380,190,799,550,393,030,409,567,818,992,551,562,022,981,560,114,
690,202,993,902,504,772,828,146,292,007,617,089,756,776,078,594,342,205,561,
372,940,380,473,586,722,114,955,724,203,487,171,102,779,153,059,705,941,190,
725,847,690,548,868,864,924,330,511,374,953,577,939,484,426,726,893,741,251,
152,120,233,119,462,516,595,877,860,774,827,901,428,683,817,226,486,548,246,
818,343,152,782,791,115,135,485,800,239,000,107,043,167,858,424,841,812,774,
726,439,091,032,687,887,542,122,818,741,610,958,854,196,952,622,416,717,973,
897,135,732,820,263,515,528,745,663,858,208,810,745,626,027,773,551,584,246,
694,751,745,523,463,488,428,319,835,917,367,328,646,345,204,334,918,904,078,
405,805,847,407,468,801,950,151,401,084,898,642,139,776,958,434,323,413,779,
435,900,480,580,973,196,043,291,723,918,786,881,991,268,985,172,979,723,131,
939,553,735,993,314,580,760,750,392,863,473,546,801,832,362,890,002,814,758,
612,285,819,697,108,300,027,196,291,002,127,518,310,703,306,918,994,162,370,
737,621,856,661,641,568,133,469,545,131,678,698,281,214,814,575,370,138,024,
315,287,778,549,220,968,881,554,362,756,805,827,191,143,840,003,713,226,157,
888,534,479,438,177,056,035,911,289,008,106,144,176,983,074,746,738,909,827,
698,169,417,137,996,976,451,350,258,658,487,303,717,327,976,957,075,645,537,
911,786,737,096,048,505,117,494,890,897,177,199,683,029,049,186,390,880,481,
194,850,733,768,872,113,002,028,097,076,149,980,485,505,729,682,030,216,634,
772,874,783,069,441,173,717,803,503,207,973,792,604,304,860,069,802,154,072,
029,270,810,389,167,025,559,124,654,717,057,230,208,682,177,437,365,624,631,
865,097,712,525,873,228,480,838,938,369,557,979,005,494,318,485,665,948,574,
204,464,274,779,319,633,767,763,461,979,930,520,479,871,507,487,779,879,046,
659,930,396,776,938,927,523,400,052,428,703,912,488,416,386,893,484,381,415,
676,412,387,742,279,090,158,557,848,417,670,352,957,686,402,997,274,905,624,
109,542,828,878,903,150,454,359,897,187,678,848,923,072,362,523,063,363,635,
814,870,847,047,905,900,459,619,443,773,965,458,938,021,888,446,660,612,730,
001,753,747,348,314,965,237,928,168,526,342,717,304,688,858,408,494,387,333,
064,796,640,650,918,342,298,779,892,019,086,604,668,671,459,184,168,484,343,
452,785,459,132,505,877,653,678,441,896,161,536,306,199,094,428,705,752,308,
668,010,754,832,369,524,923,726,744,542,322,290,522,935,555,695,841,588,284,
182,905,370,870,875,102,354,482,868,977,501,157,700,579,324,633,049,264,411,
025,359,749,991,081,403,492,023,539,095,366,208,597,434,658,735,240,727,044,
701,816,211,840,777,502,029,229,379,829,416,566,623,494,496,514,056,948,694,
127,490,945,796,936,513,054,191,254,926,649,111,252,160,566,542,869,169,482,
255,792,340,810,715,999,879,517,867,975,271,204,515,999,288,910,898,974,985,
055,215,366,703,062,102,644,809,937,851,439,745,156,516,451,225,526,989,915,
050,731,777,356,426,108,612,753,276,152,418,197,365,458,362,587,100,178,929,
345,798,676,381,841,827,015,376,418,769,013,267,714,698,407,320,478,494,076,
301,580,690,142,163,153,345,524,362,307,790,515,087,126,873,375,452,177,899,
725,482,991,979,511,575,473,845,250,028,489,599,194,267,306,520,363,965,251,
878,509,414,740,129,578,697,327,244,567,420,282,543,586,741,998,704,655,729,
265,421,573,549,055,356,215,256,708,242,887,357,136,162,898,318,601,470,990,
238,861,941,134,623,929,551,606,589,623,994,309,905,305,450,390,688,725,600,
326,527,691,573,904,220,847,362,845,732,743,432,194,736,045,077,276,329,004,
789,632,560,814,429,172,507,416,377,869,460,510,283,246,488,874,945,925,037,
637,688,980,790,529,734,197,253,341,674,153,553,147,515,430,461,285,465,440,
804,869,821,596,049,868,134,642,306,865,612,505,795,599,383,432,346,403,134,
871,993,127,745,343,915,636,393,624,766,944,813,734,286,276,321,470,336,243,
178,819,792,809,683,677,246,665,647,990,018,362,824,054,031,151,489,380,659,
419,136,452,944,837,147,710,117,441,880,317,294,197,014,977,127,795,972,794,
737,670,202,758,433,140,771,544,200,430,527,858,836,907,931,237,655,009,453,
858,620,089,411,826,020,409,213,168,609,676,599,880,702,090,998,565,410,821,
436,009,807,792,868,094,455,546,075,055,675,030,204,239,418,918,389,157,014,
795,271,445,630,884,939,523,245,756,334,913,603,212,766,634,570,409,858,996,
409,135,838,574,976,126,235,014,820,310,044,843,508,104,236,656,572,928,473,
404,665,451,633,022,868,099,880,531,588,944,029,731,261,774,171,966,007,690,
151,409,897,300,219,897,484,617,825,400,232,978,708,638,764,408,656,729,080,
064,348,576,897,518,379,055,523,035,594,634,620,615,126,557,906,596,571,062,
589,770,229,779,663,507,786,084,103,491,806,242,367,941,161,258,595,110,319,
837,021,767,924,495,881,641,080,832,929,641,401,120,885,646,096,905,949,220,
339,788,087,061,307,281,800,051,870,750,557,270,702,181,708,732,865,490,263,
950,831,145,135,106,820,971,315,862,262,733,191,628,070,789,081,498,036,085,
322,348,978,133,770,911,148,703,962,622,727,452,462,198,905,224,100,650,544,
971,020,476,527,851,517,965,838,376,321,702,478,675,292,724,896,326,233,761,
596,285,205,223,506,842,119,643,438,084,388,131,027,572,275,934,762,213,771,
507,667,844,632,032,606,030,469,849,260,827,437,978,047,058,878,944,017,059,
358,806,777,179,589,552,611,086,672,858,893,555,215,035,617,798,638,291,915,
918,803,869,953,154,798,647,652,784,190,928,329,881,007,311,654,656,124,226,
827,471,190,936,402,643,163,986,476,382,072,971,144,006,833,099,403,346,595,
238,118,037,706,620,368,036,508,368,189,771,217,154,395,807,416,802,173,662,
963,053,768,175,384,428,811,993,660,317,681,341,350,896,895,898,284,372,820,
112,240,988,920,997,319,429,915,447,886,324,714,427,801,162,808,270,034,620,
148,521,850,530,722,360,770,045,003,211,115,957,613,088,220,081,264,010,651,
784,892,419,798,340,405,055,535,453,552,333,004,969,082,978,751,235,096,291,
520,654,509,496,174,480,054,856,265,309,696,274,233,091,847,086,339,503,540,
069,132,400,355,254,752,280,099,662,274,362,125,089,302,021,738,325,833,882,
156,009,135,406,186,765,444,010,517,687,147,094,054,023,045,800,642,449,686,
329,742,630,766,288,209,179,733,915,326,215,346,569,680,390,269,643,443,788,
591,148,153,098,369,767,960,232,389,860,349,287,942,531,804,236,621,704,688,
535,388,924,273,336,240,405,840,083,742,120,616,397,553,577,002,069,518,410,
760,876,107,824,602,274,681,782,137,709,680,834,416,840,148,870,739,026,737,
505,891,560,719,883,847,069,985,622,347,179,288,986,999,122,310,358,843,479,
898,284,707,600,580,740,452,838,725,859,263,625,190,371,107,945,539,810,356,
389,193,710,452,908,616,450,684,835,166,918,862,326,699,936,984,740,256,221,
475,863,554,415,476,173,432,934,469,940,465,296,408,372,998,981,121,202,044,
644,305,708,360,296,760,662,059,551,805,842,902,307,296,838,003,595,798,025,
745,423,686,765,362,980,095,274,184,193,606,714,089,781,229,485,629,097,492,
835,721,537,309,089,426,710,026,186,611,551,569,690,555,075,532,511,395,368,
847,883,347,455,759,127,474,031,064,762,927,065,636,959,816,101,230,543,190,
043,816,156,029,860,334,193,805,241,250,051,995,362,301,981,082,707,905,154,
917,541,765,008,590,645,098,884,311,482,236,727,277,924,995,991,055,163,194,
611,056,472,048,203,890,897,631,682,969,132,221,853,376,723,226,388,506,116,
430,159,322,501,495,163,031,109,710,293,741,272,686,072,734,249,192,759,270,
154,168,659,608,061,615,827,384,692,830,796,443,026,753,938,360,411,544,981,
584,011,200,297,570,695,166,709,863,826,018,060,293,268,799,913,462,368,389,
163,718,026,199,998,855,342,540,307,424,069,840,779,834,615,661,598,730,748,
148,342,622,149,341,813,376,638,823,611,978,232,047,138,344,808,798,346,450,
842,565,302,396,162,127,262,243,787,310,286,028,646,448,507,659,908,038,706,
943,045,412,063,842,188,781,674,198,168,011,831,510,564,503,043,422,955,963,
551,762,133,317,081,634,725,619,554,029,965,205,950,757,653,441,981,009,819,
151,791,553,775,268,358,701,766,914,157,036,838,252,576,915,801,753,417,123,
153,005,309,584,897,809,512,611,476,685,490,263,951,553,608,447,109,175,455,
926,075,731,687,994,299,153,303,059,082,459,130,015,393,295,714,765,732,286,
843,108,129,108,874,383,713,386,910,210,609,847,404,826,970,025,578,253,873,
311,964,734,702,392,050,169,056,562,746,121,428,561,706,876,242,633,798,491,
590,381,058,637,759,482,139,168,373,446,021,735,766,537,516,145,374,513,730,
440,691,394,059,396,771,495,866,313,950,301,656,528,991,946,309,401,053,460,
616,201,827,005,778,355,506,622,056,921,920,380,779,929,782,402,721,119,919,
977,884,288,718,580,187,939,913,215,853,108,472,447,952,586,207,488,662,190,
324,458,275,664,485,759,500,577,327,266,670,764,239,098,716,360,516,156,049,
274,499,512,418,391,009,932,281,984,478,929,051,080,342,890,310,185,643,377,
496,348,688,447,484,658,024,356,141,787,313,900,375,472,662,276,283,522,638,
817,413,894,894,142,116,537,420,217,284,587,197,046,446,899,049,890,822,262,
845,735,001,680,444,592,044,257,449,183,391,424,226,626,010,784,465,457,521,
673,344,368,586,452,511,339,182,784,084,708,451,360,851,431,590,650,093,741,
112,770,042,120,878,587,890,572,364,596,638,828,829,789,901,509,862,621,920,
331,226,368,375,275,148,904,860,601,588,348,564,677,417,347,805,655,137,738,
790,440,571,486,045,642,444,061,376,761,313,252,814,106,223,845,629,054,207,
737,495,997,735,518,959,635,472,013,047,681,861,490,519,170,116,430,254,745,
845,070,342,805,926,143,823,763,790,767,964,565,439,921,300,180,758,025,632,
981,117,186,392,453,145,296,925,360,288,661,057,245,720,995,317,533,162,019,
336,748,920,008,030,472,783,664,337,094,523,410,390,199,193,935,908,991,720,
416,268,810,705,908,325,646,069,566,900,876,765,308,830,093,851,071,353,612,
474,466,143,870,455,700,350,527,362,155,663,609,143,626,919,990,917,495,155,
467,643,102,853,763,058,329,441,112,096,632,150,432,644,231,901,170,973,537,
720,523,028,632,561,856,152,469,683,125,235,792,284,171,111,524,137,691,061,
871,288,014,675,962,654,827,257,751,760,452,767,277,583,064,969,477,396,847,
509,023,870,503,364,977,938,263,455,552,434,056,397,517,058,268,758,805,583,
604,864,610,941,402,991,311,488,318,857,083,061,799,109,965,137,178,043,906,
530,743,184,856,721,976,579,426,138,301,704,255,592,144,825,227,550,066,089,
216,476,594,548,984,676,519,486,210,165,393,935,964,777,101,414,337,382,308,
267,097,999,185,545,076,734,320,289,264,200,221,210,796,339,938,430,845,369,
748,111,265,331,211,572,886,710,670,994,095,093,331,546,336,555,407,482,367,
925,298,052,601,422,453,850,514,889,906,034,061,644,250,353,522,064,438,936,
084,523,935,711,470,812,990,070,999,588,058,467,734,178,153,629,362,859,880,
051,499,472,016,541,123,032,214,930,749,149,913,732,246,364,389,930,904,085,
298,667,357,271,422,893,334,262,942,078,011,647,733,348,807,164,071,072,639,
268,552,822,887,716,248,824,802,201,703,399,498,388,350,007,597,797,731,187,
072,144,569,419,103,614,671,287,789,348,217,322,824,773,181,963,033,334,008,
529,045,867,386,854,093,590,677,445,546,145,061,221,054,190,551,559,887,991,
976,017,619,492,179,598,266,249,724,730,959,389,757,484,213,050,241,682,314,
775,884,935,026,507,922,183,059,991,119,873,000,588,340,596,908,708,509,896,
029,009,688,382,125,423,157,704,816,323,457,416,387,178,855,018,034,181,579,
727,342,701,471,181,890,758,433,555,535,741,208,124,377,372,813,368,711,068,
297,720,665,224,725,327,638,683,231,275,862,844,887,043,363,462,949,222,152,
751,419,220,318,387,372,049,874,548,230,740,195,398,096,959,712,723,361,206,
365,269,284,241,935,598,378,113,505,604,584,767,802,359,014,941,972,657,019,
310,899,241,298,917,275,639,701,924,112,648,272,054,151,688,533,242,441,174,
697,615,022,642,115,769,312,561,859,792,666,615,349,069,038,017,276,340,421,
966,968,403,182,388,134,904,061,256,832,850,338,497,110,379,936,771,493,512,
973,388,971,254,219,139,282,925,509,930,007,716,903,729,363,248,425,382,709,
859,285,335,223,712,114,199,441,417,675,690,726,660,047,968,217,846,121,741,
780,747,009,505,886,278,130,788,069,604,707,373,784,242,588,765,086,401,247,
634,731,817,434,090,425,468,638,385,071,806,638,428,889,470,021,266,217,089,
940,508,645,224,070,740,137,512,409,678,571,564,380,543,946,719,412,380,479,
275,616,435,382,941,031,817,198,650,981,198,816,457,919,442,335,724,319,586,
037,577,954,590,338,853,883,542,852,677,836,763,614,085,848,433,754,711,146,
576,757,255,224,676,380,543,051,451,724,353,045,296,554,321,573,384,607,260,
414,003,733,895,143,523,393,129,999,053,214,864,473,161,468,973,816,108,350,
754,823,769,424,651,326,536,523,944,712,684,101,976,377,413,570,655,082,152,
211,765,280,016,293,709,435,643,795,930,650,903,515,763,651,423,441,715,234,
136,027,801,985,438,095,724,048,570,582,211,732,820,099,494,183,395,846,430,
593,916,031,942,825,557,479,285,342,197,161,720,106,953,145,489,756,812,299,
937,912,438,145,207,782,405,199,444,748,054,199,881,254,448,950,639,374,420,
346,880,165,748,962,157,521,132,780,299,803,326,943,981,555,997,236,293,112,
499,020,182,242,259,893,482,899,178,703,280,376,401,979,903,616,256,140,707,
724,291,354,169,365,799,923,574,608,066,054,153,018,179,983,260,855,329,015,
971,280,603,610,867,412,134,555,266,880,179,859,987,920,974,733,819,623,657,
003,623,130,823,165,844,310,051,753,752,838,531,088,476,054,122,167,517,811,
212,720,141,876,745,241,767,772,711,957,809,530,784,627,037,783,486,371,786,
166,304,238,236,323,287,938,179,037,836,734,142,282,502,700,116,877,383,337,
743,565,207,746,268,325,932,237,306,951,292,102,357,050,426,185,539,364,556,
582,911,444,716,966,665,870,681,479,963,432,952,415,471,803,914,140,868,329,
305,142,580,237,078,646,085,893,399,501,750,309,058,859,684,437,810,373,982,
845,621,383,114,890,035,521,313,962,164,053,138,911,760,032,479,965,966,504,
574,832,193,966,575,184,764,759,093,699,902,340,201,080,852,162,022,378,002,
695,142,124,649,159,276,845,046,532,251,670,591,036,530,813,087,802,060,795,
627,264,705,616,349,498,809,175,558,363,857,044,854,148,739,931,167,706,725,
909,127,157,802,225,901,294,624,855,100,824,658,164,004,377,118,494,461,138,
703,330,637,368,259,726,895,473,875,185,906,193,139,174,273,799,593,564,647,
132,258,359,562,009,335,826,141,670,189,179,198,310,863,835,003,143,835,573,
350,945,317,567,659,403,776,569,901,416,183,658,298,035,702,601,306,954,646,
510,211,389,847,731,178,148,301,769,401,793,357,076,269,365,760,557,015,212,
152,892,089,651,006,191,610,263,383,727,603,744,711,669,787,326,025,264,922,
466,800,047,774,782,748,581,291,492,929,577,945,391,612,090,896,604,395,060,
321,152,739,735,992,754,720,010,577,067,081,450,299,188,420,487,728,061,664,
838,338,544,831,481,747,650,673,666,857,508,426,640,017,559,304,752,160,479,
290,835,101,934,012,810,929,806,885,803,805,733,910,535,314,032,429,645,972,
960,142,373,934,865,408,321,802,294,931,608,533,319,106,426,909,757,610,280,
941,266,342,548,391,762,700,349,744,710,093,073,597,131,903,556,276,130,242,
932,565,673,090,913,287,820,115,933,678,300,932,103,678,563,612,344,988,743,
878,658,256,156,711,647,488,742,572,898,542,571,952,137,940,033,803,837,926,
279,683,106,460,631,762,456,732,347,951,969,957,767,798,959,180,078,889,046,
879,737,681,688,774,398,383,326,190,388,751,694,190,625,149,039,946,492,695,
532,728,310,271,815,438,021,190,091,692,008,984,627,474,162,691,948,853,372,
311,283,946,631,558,423,099,914,657,434,600,094,676,567,507,203,971,560,770,
045,332,518,921,105,854,300,408,545,085,658,593,973,868,266,716,174,775,356,
941,637,028,330,210,177,313,363,656,792,224,561,013,633,701,867,147,264,831,
236,391,932,843,393,899,749,960,358,707,834,423,733,826,005,763,974,590,325,
717,227,386,413,955,345,646,253,388,021,230,245,454,797,672,517,005,553,987,
826,528,466,565,936,517,885,000,725,912,561,851,079,141,210,081,000,195,784,
559,894,042,304,691,754,849,252,720,609,474,855,857,847,374,635,610,224,599,
875,954,232,916,002,272,010,543,102,843,119,365,154,045,350,129,380,940,779,
363,759,899,231,319,455,574,043,308,121,736,893,471,499,045,658,547,722,654,
374,320,659,655,196,797,410,630,348,972,064,032,166,067,240,095,932,018,820,
015,424,372,409,498,401,495,277,549,710,401,932,810,982,399,558,088,418,463,
051,767,976,072,101,851,549,090,150,545,809,712,176,662,432,825,902,375,494,
538,506,341,856,694,669,671,198,588,737,982,692,346,142,802,536,558,521,555,
680,268,004,439,045,029,371,661,724,092,676,426,391,741,458,528,117,675,274,
355,373,999,077,258,062,448,317,297,013,809,690,813,429,924,573,632,708,250,
257,058,300,390,313,965,024,654,731,021,400,258,042,796,378,637,670,461,346,
956,664,816,115,141,782,019,419,419,289,150,176,383,694,030,302,124,810,565,
811,794,977,399,406,792,843,197,388,890,733,027,909,740,051,595,203,510,532,
697,901,029,790,300,101,840,680,836,426,846,673,254,261,349,361,641,719,020,
601,289,674,585,816,905,393,025,593,702,111,068,249,891,393,532,864,294,268,
853,851,946,183,403,747,433,644,673,766,548,064,226,551,436,160,182,132,593,
055,716,801,322,504,772,816,680,506,871,830,820,571,927,038,538,121,876,670,
494,133,129,925,172,361,856,106,062,556,248,473,440,969,671,519,322,375,806,
980,464,916,358,833,261,558,021,050,059,249,434,389,913,955,508,714,843,696,
398,445,004,775,564,845,824,047,405,480,144,075,341,153,046,751,878,981,434,
975,861,671,060,575,090,611,003,399,622,863,564,077,280,477,226,504,685,620,
295,667,101,801,351,877,808,393,016,935,936,757,879,060,708,441,108,516,871,
925,534,389,416,938,923,218,682,901,503,843,502,811,149,153,791,788,059,774,
988,950,034,241,075,795,770,160,761,805,606,828,833,986,636,974,358,188,866,
117,458,790,936,798,811,942,517,294,537,056,344,623,572,868,261,180,462,508,
984,856,351,396,195,775,052,649,983,903,644,268,338,676,860,586,307,384,258,
548,932,892,036,276,820,293,834,510,543,047,595,128,939,728,467,319,037,840,
280,240,598,449,528,635,888,102,166,404,171,427,829,924,073,803,403,817,661,
963,648,401,933,363,489,161,442,436,925,556,697,872,656,985,844,630,922,335,
356,762,316,835,368,691,885,155,250,900,811,451,367,873,339,999,553,359,822,
759,077,115,435,705,406,801,915,598,596,657,031,560,323,846,196,115,921,607,
790,616,896,219,921,149,537,943,138,288,049,405,846,679,852,129,179,088,331,
067,975,118,506,217,995,809,466,596,301,646,706,180,570,749,616,402,069,918,
316,903,357,441,995,438,487,468,722,625,118,456,663,003,244,953,836,934,357,
491,338,174,346,119,900,367,450,725,399,209,884,278,970,802,885,180,985,793,
931,294,650,978,987,302,578,297,113,887,728,249,363,495,281,117,341,671,126,
929,959,139,102,802,979,758,654,812,082,501,928,795,518,323,869,245,167,138,
425,180,970,869,044,985,414,476,757,050,854,746,495,237,238,537,336,967,078,
548,207,040,668,217,214,976,667,602,897,922,122,272,777,590,497,456,358,952,
336,237,650,899,383,782,411,819,908,037,815,737,649,697,101,124,962,628,658,
767,828,053,522,043,530,450,782,268,382,626,956,776,806,900,421,355,493,148,
770,995,617,633,805,022,682,375,936,658,540,881,096,955,867,254,392,261,085,
154,075,446,022,477,344,805,976,798,222,578,185,808,612,500,998,660,735,580,
197,456,429,128,708,556,073,554,416,388,553,199,852,013,924,169,244,073,991,
365,395,223,841,123,502,929,785,733,835,957,484,227,031,779,517,083,855,840,
015,906,699,707,008,713,804,198,160,773,067,450,855,429,923,151,606,282,614,
944,830,513,375,943,504,006,860,794,837,763,561,499,662,049,017,113,635,522,
268,420,692,847,987,099,662,678,250,817,487,916,215,849,152,896,814,508,109,
035,259,411,647,917,922,048,290,069,802,384,261,561,818,382,781,654,831,798,
843,199,685,317,486,604,256,626,725,485,853,844,063,055,581,237,288,007,843,
961,162,254,232,351,644,462,238,510,341,987,567,485,230,921,137,947,693,755,
430,464,375,591,005,302,045,787,467,751,621,215,762,684,434,407,686,733,339,
580,558,212,461,117,829,198,268,463,984,762,887,658,046,426,275,920,232,793,
767,793,286,403,406,536,607,740,385,536,769,582,778,062,645,125,508,644,993,
092,006,697,404,251,945,082,530,379,185,583,003,767,809,460,481,822,514,769,
015,600,395,455,765,447,040,341,908,703,065,364,807,953,859,774,355,106,060,
593,044,604,159,894,560,638,497,211,180,734,925,065,250,785,185,970,683,407,
125,247,406,092,876,222,059,387,421,353,659,852,026,589,759,928,568,860,510,
124,896,262,166,736,193,542,912,813,850,425,599,063,310,012,836,876,213,489,
044,914,372,707,974,828,403,845,435,847,157,766,313,084,907,127,683,253,776,
245,301,166,246,089,015,613,476,709,218,446,247,892,629,833,721,606,873,261,
289,814,541,686,086,468,385,705,420,427,107,136,133,691,135,928,785,982,827,
047,605,195,841,457,250,577,891,935,878,768,471,463,326,580,583,913,913,169,
043,599,413,947,214,858,140,795,506,939,134,790,823,068,046,043,172,985,958,
036,499,070,312,970,062,978,722,530,912,796,297,868,724,497,980,736,664,073,
484,587,245,463,924,611,781,900,735,265,144,643,570,605,089,625,905,188,747,
058,421,560,163,160,901,831,762,980,612,046,808,927,460,655,019,846,947,826,
343,211,568,575,026,793,426,767,414,895,197,631,882,753,667,895,992,704,537,
691,014,957,140,475,199,044,435,721,472,700,889,592,968,486,123,184,397,829,
218,949,977,311,479,997,368,972,186,562,675,020,354,185,859,491,722,405,934,
637,116,779,459,121,751,271,131,009,475,405,838,074,495,767,593,866,993,990,
232,569,055,940,546,533,875,002,096,003,206,779,830,242,463,081,142,230,546,
367,943,244,710,631,602,032,319,388,602,946,727,518,791,797,315,683,891,970,
908,920,237,342,745,910,084,906,613,935,823,240,525,671,233,940,204,198,484,
777,154,188,255,397,916,363,883,244,607,826,051,241,682,277,183,528,997,607,
181,797,977,633,402,620,934,539,617,463,953,819,869,387,325,390,697,947,511,
154,478,702,661,089,176,234,851,974,625,858,196,588,601,441,181,833,935,390,
561,868,153,105,173,152,639,394,987,860,944,035,810,179,271,330,713,684,596,
932,450,721,052,259,886,583,181,629,941,259,649,113,101,732,757,766,730,170,
505,997,026,830,639,475,845,646,705,061,051,772,136,435,440,061,542,518,046,
620,196,031,971,840,541,049,362,065,063,833,176,767,628,932,787,863,282,178,
674,427,754,588,089,038,403,784,780,398,176,636,635,472,505,251,248,153,519,
124,622,588,692,932,517,892,467,655,688,422,849,804,220,781,343,313,727,738,
849,193,211,426,217,252,972,534,942,942,176,418,285,558,079,238,910,026,399,
788,735,455,402,432,408,382,800,026,713,407,285,812,665,139,942,287,056,676,
617,374,028,962,231,915,436,481,192,482,729,612,966,576,153,624,462,004,984,
522,151,010,409,206,331,015,558,704,943,532,376,204,163,561,888,276,059,991,
539,386,092,764,868,143,181,260,125,519,272,745,682,835,445,192,980,570,920,
075,077,253,459,522,429,489,517,014,703,996,744,053,809,269,898,242,720,994,
134,910,079,411,747,968,513,014,205,733,495,549,896,404,521,809,136,797,381,
697,141,951,882,414,060,948,954,076,825,720,030,093,586,433,153,735,275,181,
946,216,668,903,819,754,796,298,789,787,832,315,462,033,545,628,301,124,326,
385,655,108,955,647,137,479,856,542,640,806,995,290,818,768,178,225,962,103,
081,651,084,308,800,863,789,235,238,802,507,054,021,226,100,441,912,887,556,
661,548,223,176,550,656,466,125,185,365,373,377,053,184,856,520,072,759,393,
921,920,623,612,860,804,091,932,502,475,352,278,184,321,873,163,929,476,151,
294,338,419,070,450,223,309,513,591,717,033,834,102,528,991,933,144,464,622,
591,800,763,655,964,467,097,290,979,307,562,643,931,900,545,561,642,958,037,
035,419,800,653,239,968,819,238,333,034,285,282,431,006,813,388,949,301,654,
994,833,215,408,899,851,409,893,038,192,341,048,030,566,827,158,349,743,973,
340,198,932,763,977,834,047,721,281,559,098,583,005,969,704,525,887,214,943,
717,898,051,016,881,118,413,254,915,853,407,181,076,551,401,365,541,808,023,
368,283,208,172,926,545,734,870,659,526,620,938,356,030,138,676,843,217,737,
238,508,768,605,452,668,295,472,730,595,853,580,648,560,763,664,791,887,744,
267,599,154,417,371,815,663,899,865,436,141,003,146,891,595,600,341,845,901,
831,205,675,553,244,868,727,398,051,333,466,743,924,492,109,496,583,931,089,
865,683,962,831,742,575,650,161,739,897,400,677,738,080,202,624,863,070,290,
284,670,917,158,410,070,655,817,224,743,715,502,827,898,036,874,109,948,077,
374,963,339,556,065,457,896,400,015,973,522,333,652,874,452,118,981,330,427,
389,858,780,043,773,377,087,168,131,225,961,191,063,855,910,965,762,245,508,
220,006,384,208,035,648,044,425,927,049,424,100,030,764,003,023,625,028,961,
041,853,723,241,746,518,404,998,738,127,127,295,807,166,076,225,594,776,754,
834,579,342,386,348,777,573,080,192,686,159,929,094,360,942,717,232,769,004,
974,653,417,788,921,476,885,125,382,801,086,516,355,389,835,435,092,253,306,
526,850,329,008,913,206,596,562,660,532,932,215,447,920,661,938,459,539,551,
772,925,813,763,913,151,284,734,528,188,069,576,924,669,592,240,428,399,988,
097,742,445,300,510,748,581,402,883,003,842,964,026,092,629,364,332,424,057,
758,308,393,417,572,478,497,589,570,556,986,784,448,624,210,093,220,491,704,
575,238,055,180,583,117,249,822,089,594,671,559,418,691,255,356,156,350,506,
128,261,025,883,340,476,554,616,853,452,059,855,057,816,295,167,665,905,928,
625,015,859,460,450,307,358,518,598,349,858,949,759,825,014,566,908,063,625,
612,522,972,116,101,257,568,668,694,322,991,865,740,148,611,248,369,572,661,
108,285,426,645,999,848,684,371,533,246,762,390,748,324,784,671,037,815,947,
163,364,957,711,010,305,345,460,252,074,130,166,438,374,953,888,162,173,335,
707,337,462,166,133,018,551,758,659,651,559,822,485,271,088,752,918,729,323,
328,223,927,835,968,339,194,580,945,834,477,327,633,409,269,438,777,364,052,
555,529,602,352,539,240,922,768,174,225,973,140,336,326,700,080,577,713,751,
087,975,065,715,731,712,061,791,869,641,923,118,446,963,367,229,148,877,006,
505,507,388,814,385,287,703,862,442,083,349,300,996,136,137,287,174,128,409,
449,735,557,696,444,854,074,833,484,628,699,434,910,165,661,456,537,693,143,
732,479,568,329,333,265,340,031,358,178,399,142,117,494,811,000,506,316,614,
220,703,979,669,165,968,142,549,146,867,820,126,573,113,204,258,561,690,539,
406,530,435,655,888,465,076,780,308,174,481,241,807,001,355,997,922,107,941,
710,492,410,534,310,395,417,453,267,002,793,446,180,086,098,337,417,344,083,
582,021,723,165,301,554,797,411,737,627,117,197,691,551,126,642,459,980,411,
960,056,648,961,212,053,087,156,632,844,478,627,560,433,401,613,723,237,818,
176,546,280,018,687,011,553,337,028,423,097,644,711,033,633,962,203,522,391,
364,726,519,731,297,662,469,700,845,004,877,495,911,072,286,089,238,155,781,
751,356,979,119,365,735,900,803,823,707,620,000,663,466,220,380,846,001,491,
174,998,881,569,203,415,221,201,752,733,236,457,351,978,867,590,169,542,387,
248,903,005,745,460,876,781,591,673,425,223,603,527,123,060,518,231,761,369,
416,657,787,749,774,132,278,174,117,833,200,183,723,371,312,305,061,861,533,
192,203,331,782,963,498,036,753,802,464,317,965,515,664,724,316,579,524,591,
499,383,399,980,299,891,597,820,504,582,249,093,300,647,835,683,762,435,291,
885,348,691,734,449,647,082,105,278,980,118,673,056,965,755,284,888,245,734,
708,890,460,947,047,483,584,640,502,716,288,246,276,157,302,489,452,807,727,
552,417,576,942,707,899,670,703,348,255,479,652,880,712,541,329,336,708,537,
305,566,568,049,092,951,560,934,389,426,664,241,857,610,891,366,375,061,200,
021,570,027,287,344,638,935,647,856,685,007,958,103,542,969,394,325,510,948,
007,893,282,820,318,158,843,510,062,442,492,663,252,316,651,872,722,086,285,
394,928,367,467,013,848,466,670,444,251,064,756,634,580,684,124,354,287,076,
226,442,413,800,641,797,675,438,689,804,554,844,348,187,512,621,202,084,594,
614,980,621,490,354,960,000,668,617,387,204,588,414,267,939,736,703,107,189,
857,136,911,709,057,468,685,503,014,864,752,581,227,639,131,934,163,110,622,
751,506,527,692,392,777,149,634,084,561,937,672,628,978,353,823,890,881,870,
534,474,853,641,271,427,110,201,187,185,130,894,606,914,669,680,457,835,012,
368,113,971,026,325,268,420,191,213,425,781,082,604,700,141,482,013,052,036,
316,430,893,202,599,273,953,572,230,130,012,708,483,929,952,324,089,989,544,
604,720,626,755,247,821,530,970,326,838,703,584,432,253,153,725,114,473,693,
944,142,687,611,888,695,375,253,493,963,954,911,329,235,963,106,694,148,171,
007,415,489,816,566,388,365,733,542,504,100,757,924,104,753,984,231,584,818,
995,179,761,127,927,628,441,001,720,682,517,976,848,927,517,402,335,856,999,
077,019,192,485,663,767,370,517,154,518,547,432,472,376,087,986,800,446,241,
274,236,989,623,952,730,069,850,647,090,764,324,721,357,874,583,974,408,201,
782,781,569,506,495,862,384,619,251,531,555,551,079,097,753,776,499,481,528,
535,221,303,596,072,262,415,352,200,336,037,589,774,873,789,997,744,272,848,
890,964,397,867,332,231,454,933,785,888,192,256,530,685,211,571,358,502,741,
793,562,442,167,644,310,925,100,501,478,514,064,984,126,986,919,822,809,041,
428,772,218,180,861,784,690,594,045,650,476,498,152,257,714,255,100,030,054,
094,023,595,977,787,759,105,199,945,714,172,169,298,676,395,053,326,922,368,
391,961,060,402,545,592,378,115,773,761,165,237,094,597,166,483,334,040,271,
527,074,778,003,977,440,522,358,752,294,481,114,766,263,273,591,022,312,096,
312,268,524,181,775,231,457,853,803,648,435,418,578,673,497,961,588,951,490,
328,474,969,942,790,933,130,932,644,941,889,374,235,644,168,666,615,848,641,
913,523,499,158,158,423,284,810,157,975,874,793,122,569,201,392,749,600,109,
330,516,351,887,780,860,664,133,560,446,038,914,179,418,417,927,449,814,627,
252,334,290,781,246,637,143,868,992,375,604,690,467,914,120,677,418,883,243,
341,105,311,097,122,795,895,344,846,309,107,153,581,613,371,386,516,295,279,
706,934,540,249,845,351,804,942,153,357,371,731,816,550,617,191,523,185,559,
898,588,837,655,474,656,927,900,060,395,819,877,275,519,935,877,231,179,909,
533,933,042,287,174,128,123,125,632,052,692,509,672,824,410,451,340,443,302,
218,695,803,151,815,493,963,739,090,408,019,055,467,623,989,383,360,916,390,
413,515,588,120,976,597,715,192,689,286,272,859,259,243,041,648,992,493,071,
899,954,218,308,455,751,081,612,061,855,550,690,081,771,106,713,309,915,576,
037,174,209,199,815,562,035,857,193,961,326,828,337,312,951,369,236,091,109,
076,431,986,509,894,498,400,770,880,583,630,114,930,791,083,848,360,629,693,
236,141,024,423,258,258,555,073,165,977,261,323,257,174,869,019,318,894,499,
484,606,799,493,420,097,670,811,254,616,965,379,993,646,119,497,802,157,517,
117,102,897,804,994,895,329,463,500,038,650,245,336,181,581,102,757,295,152,
582,191,391,795,949,049,132,916,571,798,210,965,541,632,377,340,281,261,113,
932,433,219,589,432,205,767,319,645,862,994,558,160,791,724,076,750,887,588,
052,395,361,397,681,584,677,614,459,927,487,326,423,270,743,169,650,765,860,
958,906,087,843,248,547,998,401,785,723,132,544,832,511,789,212,822,534,235,
720,504,541,158,444,115,548,047,321,214,729,145,596,856,161,577,793,407,115,
865,240,462,241,898,620,493,184,643,050,506,809,229,490,062,870,999,361,410,
956,616,342,844,994,895,803,929,072,142,339,023,469,736,054,411,247,069,906,
156,141,148,006,410,523,567,245,325,274,748,048,405,333,868,546,526,085,292,
641,032,117,559,180,154,557,093,005,990,629,748,589,167,183,595,436,164,288,
923,266,798,671,970,552,214,454,398,483,421,100,376,383,076,352,870,617,647,
957,373,954,335,636,751,763,182,543,049,797,623,243,462,588,174,438,023,592,
201,820,619,974,603,397,373,573,595,079,578,402,528,156,229,400,685,071,195,
161,556,941,725,931,218,571,175,897,906,709,693,086,949,237,595,284,522,380,
906,352,785,626,878,344,620,069,804,098,848,199,909,940,540,377,102,927,351,
714,663,849,569,430,905,438,572,435,703,722,564,558,499,782,749,322,744,127,
422,184,057,622,103,047,447,633,594,366,210,707,393,338,352,183,317,412,453,
826,693,034,543,714,447,183,606,485,840,269,578,138,209,557,602,140,585,182,
394,215,626,318,064,992,574,939,712,542,998,607,114,367,070,019,874,168,891,
894,955,747,592,569,235,774,108,302,496,113,525,903,599,558,398,475,826,897,
422,476,181,632,132,107,721,725,494,582,188,169,133,675,215,431,408,988,241,
602,306,580,726,047,509,708,436,136,416,641,668,777,883,664,452,126,282,688,
505,097,182,291,047,118,856,693,356,466,632,471,131,961,770,634,743,362,213,
264,739,245,245,119,330,735,839,994,297,340,173,161,139,783,661,615,245,979,
820,977,357,355,251,641,968,940,890,165,269,174,038,925,570,502,807,157,211,
089,741,329,966,020,429,699,772,550,627,703,021,737,658,964,925,082,522,207,
087,528,400,245,574,896,849,408,859,364,405,451,409,011,498,936,926,667,848,
457,517,198,258,849,513,426,135,076,617,793,910,078,598,928,235,779,959,128,
414,400,297,452,856,971,868,555,940,878,690,618,447,171,815,970,014,186,656,
772,006,978,319,628,942,798,968,808,308,991,312,977,951,821,576,037,018,756,
885,155,289,557,812,105,948,952,856,000,732,528,540,455,970,200,436,251,554,
091,934,052,624,815,002,017,190,908,327,412,512,599,790,038,636,695,988,464,
685,180,419,463,068,829,632,500,913,315,372,127,827,548,095,630,414,758,925,
004,089,643,084,343,017,851,234,080,720,992,947,393,072,244,636,831,553,915,
098,160,831,128,681,540,816,058,728,791,719,537,944,564,976,026,187,710,369,
889,997,583,253,862,258,515,078,584,618,390,469,100,183,706,418,592,264,151,
668,248,389,665,367,321,443,068,135,649,112,732,396,530,772,630,954,220,662,
097,664,879,138,613,016,278,873,040,031,045,282,950,190,319,814,841,919,614,
525,623,479,738,543,471,291,143,599,647,131,774,825,745,523,493,500,611,219,
172,989,808,854,904,385,417,743,740,559,536,011,417,116,673,066,254,495,614,
739,180,817,213,009,009,002,049,934,801,541,711,253,897,456,573,341,769,978,
465,250,986,725,648,691,887,029,102,418,409,776,076,303,928,764,218,925,283,
812,903,381,176,112,227,880,809,829,888,459,430,872,804,160,284,848,804,916,
943,237,490,951,414,652,916,340,054,944,105,867,478,967,573,945,050,884,946,
295,371,879,197,262,888,067,893,802,670,870,840,753,573,252,496,762,062,940,
291,849,827,470,917,226,260,342,210,740,124,180,823,221,489,030,513,752,566,
837,307,386,499,929,856,738,680,066,538,517,955,895,961,178,037,155,560,796,
157,819,035,283,169,963,363,348,662,880,833,907,853,877,790,334,573,568,953,
490,012,977,975,494,969,342,597,384,584,813,510,985,048,069,398,643,346,843,
950,602,795,154,046,980,721,890,152,336,452,030,630,030,060,371,893,052,651,
861,810,639,012,461,999,900,343,788,390,531,856,109,861,159,701,714,978,904,
915,460,176,060,661,504,508,328,872,209,445,278,333,496,341,371,313,131,495,
227,220,921,089,189,413,313,878,146,544,559,948,801,651,102,223,695,254,982,
252,007,956,783,327,528,145,464,706,912,493,043,612,843,294,642,700,832,489,
921,511,495,976,912,400,333,504,485,104,938,873,529,174,339,511,857,064,046,
571,889,942,374,496,105,460,853,752,311,130,421,902,427,032,333,592,497,075,
405,398,942,468,586,623,209,357,178,059,040,458,480,733,656,926,833,348,451,
221,553,321,495,107,511,464,350,619,861,773,394,854,535,677,891,442,559,647,
750,818,039,502,274,883,020,820,430,777,917,161,419,519,206,252,645,761,738,
746,528,360,848,244,320,705,187,559,780,140,264,709,294,013,336,057,718,707,
217,036,000,829,496,477,186,203,740,152,592,222,353,450,542,866,150,810,070,
664,361,189,356,443,239,031,717,390,934,049,673,469,105,555,764,793,662,241,
464,849,072,434,357,340,898,374,621,018,677,998,103,690,294,827,824,191,953,
565,888,068,204,067,176,464,082,891,109,568,985,351,333,044,714,941,831,131,
501,170,694,075,285,647,548,156,893,858,213,659,380,268,254,194,290,377,249,
336,489,686,993,500,794,867,677,773,926,232,914,602,242,057,694,590,275,739,
798,370,975,152,257,716,462,266,913,374,594,485,755,285,811,349,374,230,811,
657,074,082,416,358,452,232,700,385,129,071,554,080,187,319,927,842,224,547,
041,009,689,178,367,628,406,120,309,655,199,779,187,769,070,617,811,191,342,
140,700,705,516,904,503,099,869,410,807,032,627,997,677,380,087,500,774,217,
828,199,107,500,611,365,832,199,339,831,750,946,693,572,020,810,234,480,025,
891,307,053,237,622,384,293,860,116,149,239,876,090,303,041,737,094,022,069,
355,774,675,738,141,584,023,174,272,251,727,412,584,709,698,602,653,599,071,
948,982,858,402,773,886,623,084,487,668,409,572,852,453,179,039,248,664,062,
546,472,441,035,789,104,437,825,901,865,994,841,124,984,356,940,835,839,229,
178,116,429,616,507,925,725,268,694,174,426,104,190,491,692,317,907,354,776,
954,445,480,098,725,357,266,003,078,561,573,150,833,634,706,088,169,927,403,
351,028,432,702,178,482,234,784,607,035,405,398,092,869,309,856,599,805,519,
047,615,153,017,187,890,472,237,237,527,973,828,372,914,244,856,549,179,116,
287,394,525,028,044,802,024,993,326,897,716,201,662,878,136,398,399,205,562,
689,672,916,956,334,745,188,413,932,387,962,967,839,002,601,894,827,644,528,
722,501,365,211,995,857,270,545,243,572,974,073,277,211,818,589,909,945,937,
125,314,459,571,969,244,190,883,423,175,339,582,077,145,984,853,580,854,041,
229,880,815,885,568,382,710,996,063,447,572,436,063,345,662,682,854,215,035,
114,612,692,415,702,300,855,666,336,293,919,090,692,520,651,406,106,832,741,
823,351,569,943,413,956,837,422,974,874,629,745,345,929,259,660,559,804,110,
215,986,674,837,463,746,937,155,700,697,381,252,497,086,494,932,190,065,539,
835,020,661,184,470,613,424,522,153,049,235,023,519,280,635,180,460,631,263,
668,563,501,030,111,105,968,669,276,151,810,364,236,581,741,180,088,901,627,
214,274,580,191,751,323,622,576,173,552,074,586,208,858,057,643,336,659,509,
105,102,539,512,952,872,851,434,221,010,037,541,925,191,415,400,002,174,036,
237,976,212,423,695,473,262,532,987,271,132,337,346,752,899,234,328,389,786,
435,182,400,003,251,934,763,140,841,051,446,683,848,867,612,620,147,193,665,
170,763,997,525,451,312,456,710,043,620,063,791,577,560,114,737,962,443,863,
386,854,554,120,842,557,328,741,912,593,312,972,275,083,549,470,851,674,294,
091,210,227,353,238,231,679,579,242,710,750,361,897,800,632,812,972,982,424,
000,397,364,621,450,806,492,737,280,364,724,195,844,103,726,459,992,553,593,
375,545,504,902,129,042,351,576,799,329,677,937,574,138,977,437,896,122,379,
860,494,248,718,503,673,575,000,609,734,089,583,963,464,902,885,491,218,757,
547,672,526,883,925,794,500,153,642,633,212,944,948,830,106,743,130,477,929,
269,898,076,858,591,774,748,450,547,936,929,434,588,469,662,684,169,657,615,
790,388,083,475,550,978,421,790,692,839,331,606,070,270,583,388,713,757,133,
575,345,583,839,715,469,145,491,947,475,671,158,666,244,961,612,200,045,814,
443,007,641,945,077,084,871,064,516,377,714,279,975,453,140,531,261,020,607,
024,096,463,803,897,219,098,747,282,547,677,375,907,133,439,399,401,814,311,
858,081,204,847,894,913,212,037,366,821,259,502,221,699,229,525,809,766,255,
994,012,268,973,114,223,974,896,337,122,682,775,785,697,805,958,451,078,346,
493,616,194,445,451,239,377,403,288,328,989,623,655,277,663,781,353,552,935,
191,632,842,366,467,759,404,852,039,481,860,719,239,648,111,915,759,749,109,
325,499,683,459,772,668,129,492,184,669,980,068,804,103,397,247,867,592,258,
633,755,637,644,573,371,957,446,498,048,794,947,025,588,594,202,200,515,858,
332,758,307,436,029,208,707,206,784,578,171,323,688,947,387,590,589,772,298,
351,897,416,636,489,944,089,344,284,543,977,794,119,666,188,766,227,983,667,
708,586,986,421,025,842,366,611,207,147,551,334,299,983,646,875,743,926,674,
397,477,340,107,573,979,054,252,521,048,169,679,036,919,090,339,500,740,593,
008,364,997,170,895,717,496,048,795,445,305,086,338,013,655,838,763,039,716,
483,099,787,081,885,175,496,565,306,314,421,123,929,208,579,914,154,567,954,
929,594,396,697,683,632,886,996,355,905,730,974,850,872,125,462,706,636,580,
725,049,459,471,005,505,164,663,738,383,984,770,496,568,548,599,940,561,390,
927,021,155,686,742,744,286,322,364,219,704,849,980,037,215,886,632,532,655,
320,200,254,346,528,396,171,946,224,576,044,426,392,225,404,656,811,735,062,
739,827,800,549,212,383,857,902,725,519,560,142,668,996,107,558,502,331,386,
205,192,014,491,631,911,455,285,145,952,930,031,997,144,503,626,894,046,182,
997,013,118,499,534,694,412,871,964,698,301,206,295,769,645,966,941,420,636,
246,099,258,911,556,595,940,583,535,874,917,522,654,141,398,517,508,709,225,
665,483,524,380,094,643,741,919,392,852,648,664,864,987,720,107,596,371,155,
334,218,273,267,794,502,406,392,209,290,742,962,350,807,773,945,761,255,502,
529,017,958,655,819,891,095,342,978,470,709,101,835,342,667,971,002,415,564,
439,966,884,497,224,017,014,904,961,679,949,307,979,553,596,251,288,651,265,
160,751,903,181,520,841,426,296,689,310,365,176,074,695,014,771,249,979,668,
988,037,008,832,187,789,937,825,332,991,358,221,715,474,340,721,613,214,244,
077,638,934,840,730,343,965,466,985,646,676,243,895,405,904,383,269,444,847,
003,897,716,910,721,838,328,984,477,919,798,306,744,318,907,308,773,411,287,
927,010,314,776,082,117,426,666,611,551,471,938,626,614,524,196,353,131,338,
286,547,179,089,793,565,905,743,627,905,089,381,990,813,719,506,859,819,985,
713,277,539,929,261,973,744,098,508,194,782,318,488,684,423,100,831,994,574,
487,469,995,032,783,861,962,034,275,218,459,899,935,462,689,534,565,115,192,
137,695,265,398,698,756,699,892,168,587,918,576,117,052,156,771,761,457,778,
702,856,132,775,509,086,880,144,064,099,368,647,186,818,535,998,927,986,669,
941,623,583,921,261,547,809,283,807,467,192,595,037,404,931,440,535,891,035,
745,329,380,487,659,457,582,464,253,790,097,474,200,729,200,252,227,259,391,
594,725,958,617,043,662,660,245,224,963,699,826,755,489,763,701,360,054,085,
904,982,094,351,500,093,309,341,515,192,376,510,205,167,738,557,065,852,174,
429,992,665,567,146,909,632,100,181,157,718,425,388,486,511,244,346,986,311,
656,029,713,159,884,881,385,703,174,917,266,765,972,028,033,756,821,276,142,
750,316,684,713,092,296,030,656,517,332,901,160,312,068,678,737,655,550,501,
435,646,945,569,905,242,678,692,123,369,258,142,916,285,589,466,810,338,790,
331,554,820,288,872,742,931,594,512,497,379,011,266,289,331,986,883,127,579,
843,897,351,213,398,986,090,482,162,448,253,595,692,213,039,873,000,582,947,
835,134,917,508,541,622,970,435,157,231,020,145,880,724,568,758,746,383,290,
863,393,670,651,331,872,622,620,484,771,426,588,406,594,747,084,816,500,468,
867,798,008,427,602,798,083,697,681,782,248,882,344,560,706,510,012,729,888,
710,780,008,589,517,676,181,880,507,043,717,580,673,173,905,261,965,003,534,
234,920,335,212,010,412,245,842,135,094,353,952,833,605,667,584,147,850,555,
144,702,281,736,738,863,603,463,111,780,338,056,294,845,913,000,141,357,471,
611,702,994,987,405,214,323,620,871,517,638,474,377,936,718,004,574,998,755,
205,531,878,804,216,022,541,430,227,358,061,597,919,827,231,946,373,904,177,
530,296,548,822,411,586,483,122,226,168,374,690,560,861,646,024,448,204,415,
739,037,059,415,020,485,972,811,142,143,756,241,056,983,255,979,175,741,544,
825,483,793,397,711,116,740,130,396,600,126,707,730,227,864,603,672,658,733,
186,176,089,451,010,414,147,750,742,487,970,848,290,978,564,253,323,291,140,
748,564,367,926,807,231,831,244,891,668,114,943,588,475,154,446,250,430,491,
779,166,491,943,012,506,101,259,409,526,608,885,772,083,921,735,216,204,930,
309,784,344,770,164,236,849,696,198,426,442,586,980,340,913,277,533,796,041,
198,644,134,306,111,731,339,850,874,974,820,939,361,237,928,570,435,893,350,
143,666,439,852,890,514,662,193,575,043,474,500,005,938,794,752,103,043,850,
981,777,231,856,890,634,053,093,514,968,930,711,045,242,921,764,412,733,428,
254,290,765,490,655,426,976,526,220,762,051,009,661,382,103,564,138,837,498,
791,711,771,894,896,795,019,806,743,644,998,773,444,818,460,255,448,732,354,
861,835,619,187,452,004,695,711,842,253,674,713,822,697,881,221,360,271,297,
186,547,520,120,150,708,696,994,962,239,190,047,131,097,225,923,580,561,302,
633,389,029,696,517,636,185,035,406,671,507,803,385,187,629,074,138,986,545,
275,554,153,059,844,232,873,662,305,811,627,850,996,626,396,637,455,997,710,
152,808,354,489,197,578,136,269,742,010,266,080,998,514,438,405,018,071,994,
736,323,057,249,669,323,487,479,836,430,817,327,103,558,358,921,996,733,408,
704,156,513,353,157,234,581,859,792,083,765,810,769,614,763,743,012,230,689,
393,957,085,180,270,362,716,963,929,955,299,441,709,295,599,409,388,280,476,
677,485,055,564,757,747,539,221,705,080,372,219,569,780,532,390,137,975,234,
912,738,952,351,676,708,155,059,942,817,802,088,703,219,699,863,153,813,271,
098,011,180,023,305,686,095,031,825,954,150,460,255,860,354,639,140,728,337,
365,240,927,863,878,952,063,002,565,161,444,484,277,394,735,248,405,621,452,
997,548,498,873,295,165,316,109,438,101,893,935,694,241,918,718,371,418,605,
595,558,797,711,009,790,802,853,464,093,674,429,940,583,362,470,964,662,126,
918,415,776,706,860,925,648,535,790,691,791,057,910,720,502,750,907,010,397,
330,694,304,808,517,788,008,448,637,112,849,319,026,495,441,678,574,038,550,
529,867,685,526,209,886,169,739,386,581,813,764,636,596,133,553,402,599,698,
717,885,561,940,333,953,903,980,867,479,112,080,923,093,763,358,612,823,126,
865,635,273,745,600,899,320,137,729,449,712,197,973,949,629,784,033,815,459,
993,372,905,164,428,344,990,559,736,319,520,526,296,574,702,370,506,377,163,
850,037,045,669,807,582,311,834,588,028,596,398,006,273,852,943,180,832,303,
517,457,558,528,090,379,085,744,470,602,270,031,530,356,004,648,004,730,561,
237,440,238,627,020,133,143,372,308,744,739,754,706,733,551,231,883,632,302,
263,771,825,445,163,432,268,221,615,045,324,289,582,348,814,928,540,228,583,
406,509,796,201,208,561,216,045,766,296,846,372,708,703,188,395,404,263,710,
726,855,376,237,943,632,950,166,682,701,579,527,638,647,740,095,738,679,188,
903,793,387,177,788,989,642,574,071,612,829,378,406,198,687,468,122,118,635,
306,964,868,074,874,165,251,509,294,644,535,808,600,531,656,055,657,023,887,
653,729,818,337,072,603,425,338,006,721,145,849,943,744,082,830,282,805,904,
398,402,623,652,717,530,219,624,857,402,471,155,161,266,157,527,950,538,044,
377,903,072,380,229,791,631,979,201,580,957,609,633,995,923,769,626,573,459,
780,656,485,106,249,965,783,008,730,507,873,401,874,294,001,983,329,587,326,
385,013,626,881,549,074,634,211,906,774,514,048,051,732,845,304,209,428,724,
815,059,422,283,332,630,662,064,804,081,011,411,187,133,492,034,485,783,199,
996,274,998,756,390,215,037,410,611,079,481,257,589,602,253,932,818,371,690,
094,889,453,021,624,074,789,169,605,580,974,468,456,182,018,640,401,520,069,
280,452,237,482,200,182,734,741,185,495,401,894,414,387,004,255,366,186,553,
106,561,903,112,811,135,537,128,062,923,600,579,419,194,440,190,297,165,138,
813,290,751,204,309,737,396,461,715,574,554,381,106,855,820,242,204,749,049,
597,615,932,069,213,750,170,934,002,570,871,010,350,631,611,209,306,686,551,
091,360,793,846,230,929,199,891,733,081,882,992,670,025,037,221,926,515,542,
138,330,396,413,535,749,754,625,098,062,075,785,150,915,216,016,649,645,161,
794,621,745,643,548,274,175,368,879,569,960,971,663,492,737,102,353,054,196,
295,720,069,576,934,831,711,426,892,810,220,243,025,791,267,712,160,992,971,
418,034,000,253,450,350,265,202,862,926,718,654,387,904,346,434,308,198,237,
999,579,603,633,207,284,241,351,153,837,377,039,977,098,116,944,392,557,604,
374,101,109,063,231,448,254,978,815,187,966,194,363,025,514,221,232,952,683,
076,744,792,656,358,066,421,136,493,677,022,102,797,101,004,892,029,465,830,
327,056,532,424,806,248,501,076,490,287,936,025,472,414,370,747,950,416,111,
301,053,472,691,855,103,380,173,818,748,626,381,404,293,244,917,006,963,061,
727,959,089,236,225,359,888,525,286,349,668,316,514,315,110,941,522,361,917,
702,450,536,335,990,786,458,180,282,376,034,191,694,079,414,316,299,018,024,
220,853,431,305,393,266,378,109,245,822,336,265,508,817,271,426,032,182,784,
250,995,539,005,994,558,187,260,716,625,360,229,243,231,193,082,774,595,999,
792,238,986,303,650,389,355,962,754,887,117,145,564,464,130,665,627,507,293,
532,273,202,501,771,507,718,313,953,631,492,208,969,064,822,970,820,024,016,
773,224,106,277,505,368,123,808,037,428,714,411,384,040,317,591,885,854,953,
395,472,091,091,182,486,325,122,407,865,607,750,089,425,914,897,476,872,894,
433,919,966,138,643,531,975,904,695,512,993,688,827,523,246,761,447,103,169,
143,048,004,213,708,228,081,006,706,951,449,146,233,081,299,275,275,706,945,
333,845,833,007,493,521,003,152,553,379,161,752,987,048,763,002,514,875,964,
686,385,896,998,937,651,726,316,399,872,924,638,303,718,923,011,219,526,641,
446,789,323,106,663,913,622,454,667,186,119,645,460,118,802,403,518,640,677,
634,476,463,953,621,889,043,960,515,647,080,524,694,743,406,620,337,635,029,
131,359,938,607,637,800,308,213,641,338,175,555,253,889,370,719,135,677,292,
929,876,048,379,938,562,143,287,486,187,379,511,756,730,073,260,060,247,504,
901,225,856,268,597,826,037,306,026,140,864,169,660,427,244,219,691,512,219,
921,919,062,375,510,729,984,108,167,278,904,522,659,450,817,168,462,796,449,
325,037,374,335,684,804,974,369,862,302,548,918,340,135,520,916,649,637,158,
035,181,923,559,711,087,657,972,952,300,569,625,126,356,378,110,471,289,966,
478,883,325,857,436,991,393,627,020,644,102,164,628,951,985,819,357,138,105,
036,181,118,989,512,843,945,750,148,353,331,572,509,065,307,474,771,988,835,
385,325,159,208,488,944,111,962,376,227,912,989,674,279,880,174,793,968,885,
409,734,698,543,375,555,281,733,827,739,494,742,934,602,100,349,599,249,381,
126,962,102,001,747,045,507,350,215,782,722,684,279,025,495,130,692,737,444,
545,214,849,741,979,033,214,260,296,919,381,721,627,927,007,023,993,900,074,
857,735,502,514,122,128,549,882,742,960,528,137,390,402,997,145,592,280,769,
763,706,545,615,904,358,314,663,228,272,435,303,863,754,087,077,733,281,139,
085,708,144,720,670,718,386,662,655,904,270,175,473,242,497,913,383,742,779,
624,291,616,973,435,854,057,146,379,554,566,377,641,933,192,699,003,994,918,
310,630,257,421,711,981,251,528,714,788,206,330,490,618,394,001,210,594,184,
206,272,448,966,154,900,407,437,326,261,356,018,198,652,227,920,318,044,445,
226,987,045,898,179,430,449,692,880,066,099,902,386,277,577,685,624,278,603,
498,159,300,650,579,231,599,328,813,230,980,977,946,231,460,195,064,132,112,
651,369,363,776,106,009,069,356,574,622,781,424,931,327,242,471,917,718,210,
077,342,125,785,880,937,300,618,449,512,364,158,687,837,758,810,891,226,602,
376,919,321,620,653,310,629,084,990,215,341,812,705,521,185,105,443,704,808,
798,135,491,552,180,785,817,666,010,645,984,076,957,386,666,233,599,893,226,
433,827,211,978,167,212,239,626,196,019,523,928,210,444,503,354,080,275,406,
496,256,255,176,707,219,712,699,023,267,134,385,687,448,697,925,923,333,243,
536,605,917,666,336,763,091,141,675,233,629,168,833,756,567,315,926,999,851,
976,824,257,599,626,353,172,629,989,266,650,185,529,084,825,015,764,474,951,
345,964,416,271,937,888,912,893,953,244,965,516,756,451,472,727,686,914,860,
591,850,977,599,912,451,423,254,141,216,207,395,734,847,015,118,892,849,317,
433,498,822,315,403,984,760,015,349,973,534,041,099,540,580,862,214,969,207,
031,475,976,579,521,033,425,364,816,093,178,320,789,373,108,218,588,991,418,
894,709,122,799,118,061,746,425,287,871,042,945,952,906,602,724,857,479,913,
445,925,037,508,495,087,189,516,961,779,735,520,350,057,021,913,361,480,320,
214,540,436,485,232,334,936,822,235,991,657,445,231,562,624,045,915,261,156,
313,767,769,459,343,842,150,628,341,386,957,227,122,626,495,649,510,655,037,
085,182,207,790,196,204,988,160,994,559,703,902,807,827,724,716,568,672,505,
086,639,700,472,459,477,014,345,361,441,074,755,178,661,126,974,342,900,326,
852,866,703,228,462,117,202,760,093,980,111,856,051,687,598,405,019,341,610,
988,008,325,855,338,741,350,109,642,538,969,748,177,570,725,599,766,905,451,
800,913,372,291,600,540,573,193,171,337,561,320,175,088,761,108,562,820,550,
940,513,849,095,170,705,882,607,716,805,536,630,318,988,118,357,479,208,467,
969,040,537,620,155,566,341,048,199,798,108,999,969,320,681,954,498,807,949,
777,049,325,209,749,056,601,799,468,029,855,797,849,991,912,763,598,443,464,
593,639,012,327,863,221,102,617,356,239,692,676,363,492,016,537,572,286,938,
914,718,623,537,372,530,984,028,253,668,333,812,685,574,099,831,645,207,485,
296,888,487,160,067,750,797,295,697,928,362,341,604,376,726,386,906,688,478,
632,297,005,495,973,970,467,785,025,998,173,107,745,975,319,795,382,402,640,
126,054,092,873,085,638,103,109,963,341,037,818,166,582,583,210,727,773,147,
399,236,800,169,589,705,837,898,702,633,005,207,556,281,470,326,730,122,111,
180,748,016,787,429,657,569,764,152,989,425,857,875,458,831,019,290,411,893,
009,940,044,331,295,610,760,257,370,261,964,413,397,918,982,675,525,345,249,
235,117,627,943,121,632,404,648,570,090,402,049,277,255,742,032,145,853,613,
128,569,203,301,820,263,254,553,156,579,513,500,207,775,699,056,670,389,911,
613,410,643,849,855,373,127,806,396,152,822,009,043,724,506,928,544,195,389,
520,453,894,221,009,574,837,575,538,669,895,845,976,010,756,368,363,218,440,
203,131,569,192,519,087,498,690,605,696,361,457,081,074,340,291,405,857,341,
453,783,657,425,385,443,992,688,746,536,045,062,086,870,418,135,950,582,675,
569,360,844,678,070,276,859,024,610,199,892,640,849,276,981,716,072,970,140,
252,286,833,681,334,523,265,013,013,542,865,471,383,395,292,969,445,288,424,
122,449,038,976,271,718,128,134,810,531,280,246,194,153,060,350,017,914,953,
005,213,397,585,996,316,454,503,344,967,732,826,965,557,156,923,771,395,681,
040,010,092,771,784,896,860,621,566,715,763,006,031,419,483,808,768,139,559,
982,571,902,595,370,807,751,207,724,810,567,322,981,815,222,840,040,234,470,
674,431,777,561,181,054,806,203,459,367,636,313,705,463,750,975,783,420,894,
207,364,550,217,092,498,374,620,496,638,524,484,968,344,010,502,400,653,155,
839,336,087,110,706,142,416,889,363,645,359,294,247,547,289,455,473,689,798,
595,080,683,273,596,555,122,066,066,228,665,422,320,763,960,169,886,359,214,
811,661,269,498,810,105,736,357,784,474,965,208,031,302,349,806,763,372,869,
631,830,612,834,125,954,956,519,977,865,548,939,993,747,644,947,010,515,499,
067,814,406,773,599,879,604,121,179,347,223,698,923,670,867,140,395,430,449,
487,025,418,772,163,291,750,802,273,772,888,518,658,806,673,560,228,016,255,
643,191,306,910,855,873,183,260,242,158,086,192,128,833,201,268,895,399,883,
032,968,915,241,858,882,790,007,831,430,380,445,209,358,471,687,016,184,905,
030,767,955,442,728,832,921,474,081,366,713,960,284,401,859,021,427,073,425,
380,667,938,831,635,985,146,737,884,237,899,973,506,580,649,091,160,833,758,
354,317,774,525,342,485,198,491,980,522,023,072,515,913,682,613,309,304,741,
347,104,978,795,446,573,148,091,324,245,763,698,795,322,536,356,127,721,050,
410,863,765,986,961,970,939,278,753,685,345,492,548,202,048,097,612,416,602,
794,249,699,366,449,729,355,746,777,065,265,661,844,507,685,243,605,368,754,
261,892,152,759,002,659,043,509,895,480,727,578,822,860,993,431,057,862,558,
318,127,117,867,527,620,998,053,292,277,549,881,975,419,916,372,949,897,400,
612,967,382,894,927,886,630,008,706,244,281,994,877,386,572,841,935,393,655,
853,211,913,463,143,533,356,740,311,394,938,756,270,044,292,188,672,421,853,
790,184,079,851,557,879,779,666,699,753,689,882,729,728,874,505,983,417,902,
361,497,291,776,276,386,369,221,964,554,155,409,187,537,816,330,449,372,798,
600,699,783,256,421,714,932,455,618,406,725,460,351,241,381,091,614,375,347,
950,236,831,840,872,575,219,645,120,313,385,913,699,260,700,007,152,536,320,
122,731,022,321,006,751,588,311,414,719,498,875,076,379,071,395,549,878,402,
943,958,560,889,308,314,037,262,303,137,896,929,745,646,763,814,725,547,960,
721,547,728,042,749,347,975,826,426,801,802,136,599,201,496,291,357,707,345,
424,131,112,074,958,208,157,070,182,148,320,400,899,398,828,446,844,470,625,
363,543,462,752,044,313,603,382,077,374,434,037,433,129,495,977,790,441,152,
381,637,417,969,311,093,373,494,539,783,988,553,763,506,288,985,840,790,130,
011,535,127,184,265,454,298,459,675,667,688,767,244,220,030,677,510,460,319,
816,431,831,781,973,565,331,972,547,774,764,994,587,798,253,390,992,565,916,
311,722,203,788,651,564,122,144,559,123,069,183,286,440,710,291,440,661,880,
032,053,806,667,107,897,650,536,163,755,315,948,016,620,454,816,613,945,878,
157,645,043,177,758,300,192,304,602,204,044,221,840,655,183,167,964,854,886,
248,627,450,684,699,687,710,441,047,082,244,436,250,997,364,915,156,047,930,
656,518,321,037,228,475,370,654,619,397,009,626,101,563,840,761,306,179,167,
508,597,305,872,182,550,967,319,829,126,363,971,968,817,415,830,799,426,917,
906,446,611,813,180,841,086,440,879,362,960,806,928,442,164,368,709,364,588,
499,408,255,621,858,437,673,935,628,792,815,401,953,248,016,398,792,797,931,
134,062,884,370,930,994,419,971,247,767,487,475,868,879,038,392,801,972,440,
423,115,989,743,330,591,686,954,975,788,617,002,924,521,366,992,831,248,610,
239,324,295,762,178,504,385,917,720,688,178,343,173,561,845,969,049,156,480,
705,971,276,902,124,090,393,765,705,124,855,279,003,734,032,008,049,244,804,
698,668,843,586,311,204,657,454,688,698,439,845,300,575,376,744,557,379,096,
886,550,884,628,716,235,237,834,928,964,371,428,467,320,138,129,081,410,070,
570,212,432,892,379,132,252,619,197,403,146,675,870,456,929,770,488,620,314,
561,011,920,395,779,147,186,608,620,910,348,126,536,408,414,479,969,314,924,
229,666,006,282,114,621,536,408,508,227,705,703,230,292,513,139,455,116,788,
477,202,260,827,446,919,978,910,916,019,584,521,832,313,862,103,332,040,358,
235,392,929,079,180,821,512,379,563,093,039,730,707,256,648,290,706,949,670,
923,713,916,375,407,393,091,708,066,923,542,798,760,264,769,340,904,287,446,
813,619,935,707,470,248,712,259,046,179,974,096,371,818,065,568,293,909,007,
406,834,019,399,102,789,157,486,418,805,621,537,613,787,713,417,115,192,534,
825,119,124,434,097,967,741,653,648,423,550,112,169,064,572,798,768,775,583,
749,639,898,225,415,986,714,330,038,526,730,657,664,354,168,840,355,979,118,
633,862,490,184,493,187,408,086,956,967,202,010,213,551,194,410,999,246,695,
059,600,150,326,464,982,661,335,145,639,109,215,584,992,044,264,147,570,679,
924,806,431,657,932,506,528,260,296,383,169,382,493,247,949,464,367,781,439,
919,346,047,222,219,855,828,504,109,209,530,370,257,408,913,215,717,441,490,
306,907,269,208,360,951,439,035,947,140,167,892,949,610,649,486,081,921,629,
982,136,353,605,952,354,701,719,193,581,694,026,244,569,110,074,776,984,746,
820,296,697,107,937,328,506,785,784,146,619,068,876,137,870,789,317,445,208,
001,562,778,853,852,894,267,590,385,155,311,214,121,340,831,658,505,533,016,
875,367,684,126,580,731,692,377,559,453,271,699,028,761,268,219,629,739,428,
172,910,217,074,533,365,305,790,717,131,528,124,612,439,846,921,409,344,612,
717,800,111,872,746,377,356,676,842,864,841,920,717,526,574,660,876,080,354,
970,092,079,828,741,419,312,315,269,053,238,981,478,893,604,011,715,102,903,
451,022,546,822,468,064,688,020,182,887,489,744,876,920,583,054,610,430,815,
469,255,134,654,077,121,288,487,086,050,079,805,516,229,782,023,274,678,129,
361,716,830,086,707,206,566,973,435,513,797,064,870,575,265,754,125,981,568,
862,615,726,508,364,021,336,809,943,315,792,609,580,726,678,836,730,669,102,
280,756,422,485,641,017,820,805,692,785,175,221,425,015,366,647,767,138,174,
358,838,249,554,470,207,641,230,639,773,917,093,480,827,031,338,542,044,102,
740,546,770,051,478,498,448,619,939,068,612,953,832,228,994,932,419,880,101,
189,557,966,508,566,163,160,933,567,982,239,438,408,468,946,563,446,701,684,
838,552,294,878,420,342,938,869,213,690,366,303,000,158,043,440,883,500,454,
726,912,443,609,155,431,081,962,726,665,953,938,170,305,213,545,577,288,051,
998,113,393,953,368,724,203,837,721,849,089,025,442,021,581,039,131,251,676,
311,780,774,507,167,828,912,403,071,940,359,342,768,007,880,265,859,129,589,
629,573,170,876,342,712,324,486,849,445,341,734,245,228,082,114,827,569,721,
828,889,558,772,556,288,015,481,983,351,767,547,816,154,522,245,007,218,579,
280,065,786,751,864,632,855,134,004,518,651,571,797,420,302,521,781,225,811,
380,776,108,070,998,878,048,705,199,695,715,341,001,925,598,581,736,874,500,
539,275,234,996,985,400,247,824,680,058,889,411,819,089,205,850,379,864,196,
453,050,913,433,880,659,803,001,304,671,219,684,344,112,575,181,529,927,984,
999,629,844,515,074,642,087,176,786,719,575,426,378,693,907,991,751,213,866,
096,405,842,798,227,631,931,896,105,235,373,718,219,455,949,511,618,720,484,
675,278,684,608,282,708,010,414,284,088,560,333,001,350,417,624,922,399,932,
980,655,237,151,380,689,368,968,939,116,721,596,265,819,796,941,171,136,756,
581,648,957,330,926,240,655,115,848,283,665,307,614,775,601,894,973,031,179,
372,571,444,675,490,063,930,564,632,693,881,893,101,223,321,288,353,684,683,
794,756,885,656,520,500,083,601,171,970,960,351,108,641,694,708,726,367,423,
412,782,098,617,982,969,037,354,784,323,634,153,037,124,108,255,258,526,617,
837,366,545,919,042,466,625,129,763,324,426,669,942,924,117,150,344,689,845,
298,801,967,352,206,831,823,243,719,217,113,768,842,032,761,409,023,967,079,
869,042,895,143,180,808,890,277,684,368,300,050,008,648,701,644,074,451,505,
335,611,966,091,903,797,357,905,952,841,622,592,900,324,550,458,560,486,951,
560,387,105,310,397,786,244,980,863,602,882,292,227,648,207,827,531,383,112,
040,223,274,404,680,015,071,492,676,521,928,001,292,183,412,718,016,183,877,
303,133,758,643,005,599,318,688,979,783,368,781,194,364,734,984,258,230,545,
223,372,291,670,485,109,172,957,401,230,584,931,657,325,329,582,376,381,258,
938,432,641,019,750,846,945,468,570,968,567,005,235,627,384,887,447,367,747,
109,161,223,109,003,578,979,738,972,772,250,825,579,047,050,559,398,976,900,
564,523,257,397,572,527,982,566,502,339,952,669,963,104,250,849,589,522,871,
305,266,278,455,791,456,311,178,463,704,951,951,793,453,289,194,833,548,229,
839,408,019,100,743,452,199,948,937,732,549,140,247,715,332,753,509,026,649,
741,332,543,898,822,871,204,584,221,465,648,573,229,687,883,721,274,969,846,
349,412,204,753,613,784,752,842,407,182,502,369,081,276,679,265,566,857,494,
539,180,394,056,669,421,311,377,716,009,059,633,807,931,142,940,526,053,650,
035,072,749,504,398,896,329,368,378,047,247,590,030,169,891,555,667,169,755,
258,110,232,682,993,093,389,801,389,784,916,863,408,900,679,483,903,035,287,
568,750,373,730,841,407,964,710,016,890,206,704,898,028,094,007,845,015,326,
349,480,682,977,207,420,346,536,306,988,322,001,520,824,569,714,726,618,710,
790,935,226,870,631,503,529,748,494,447,464,936,025,183,111,377,570,071,855,
156,815,922,329,870,653,532,773,636,586,879,033,351,584,191,287,333,617,087,
499,852,055,465,621,091,573,691,433,234,049,507,253,990,077,900,540,655,828,
798,753,518,177,116,608,169,424,545,781,680,742,423,069,117,815,646,215,771,
189,989,013,216,662,217,228,545,635,382,692,066,039,033,534,382,660,038,066,
669,273,704,207,096,135,299,038,431,056,236,612,885,049,726,496,421,914,871,
299,567,174,734,515,236,997,453,673,406,310,434,588,398,611,635,178,222,210,
047,052,271,868,059,112,243,648,693,682,453,306,566,087,224,303,710,454,114,
782,547,103,924,595,236,351,332,225,393,467,458,282,466,918,303,357,451,675,
532,972,883,971,182,390,129,692,376,407,313,957,450,088,295,965,165,398,841,
344,924,830,065,775,158,171,155,349,128,822,039,597,721,864,799,113,121,306,
979,607,224,076,060,500,894,199,970,419,227,928,855,293,660,969,054,932,933,
911,316,250,001,705,587,502,041,760,619,795,701,404,334,513,567,804,461,317,
310,080,274,442,465,021,866,136,123,956,166,511,646,557,637,717,729,339,670,
057,633,019,346,325,069,735,642,164,276,602,417,608,522,128,039,099,735,626,
028,562,793,121,657,891,718,141,436,100,928,399,910,771,560,236,230,386,143,
772,390,758,781,150,024,771,454,336,861,279,048,367,367,578,102,742,848,434,
201,231,807,435,784,052,911,441,491,815,723,454,830,734,924,147,567,338,300,
950,687,330,886,808,794,105,659,606,160,010,071,139,045,600,219,515,867,646,
892,614,865,593,380,682,150,407,208,007,917,542,954,038,130,300,753,862,945,
051,052,178,986,504,891,269,110,879,177,416,928,229,746,334,310,230,101,126,
668,273,627,391,377,671,132,189,837,816,744,742,088,224,434,177,137,660,541,
125,709,291,174,807,924,803,975,023,980,283,594,655,857,997,593,833,261,429,
878,952,423,352,983,022,953,439,917,978,877,156,817,443,041,974,396,699,622,
024,035,252,593,547,170,142,919,645,318,666,754,256,968,417,980,261,985,442,
267,412,151,147,918,880,004,735,273,492,080,021,399,416,389,561,602,834,544,
609,516,469,144,682,617,487,270,114,034,972,393,022,533,857,880,401,715,664,
414,936,528,151,750,801,559,282,553,788,526,241,914,880,833,161,825,218,474,
793,421,345,188,915,331,019,657,456,743,372,353,621,527,251,232,284,223,714,
706,372,388,407,674,895,448,721,882,477,253,458,327,275,569,584,275,431,064,
382,119,984,301,341,801,620,357,912,323,833,982,991,141,313,366,982,896,493,
853,922,629,272,130,019,010,709,132,181,549,874,980,671,339,398,243,904,517,
525,354,289,008,806,625,671,497,034,930,609,450,501,978,166,408,890,011,283,
152,373,649,213,998,927,412,509,231,858,071,011,090,603,163,022,089,472,648,
553,543,234,678,740,926,336,944,030,642,815,539,383,683,047,629,937,083,533,
256,812,382,926,795,474,678,907,941,435,598,938,626,026,447,937,923,265,589,
162,924,303,309,657,542,840,280,292,054,590,485,256,219,196,247,956,052,896,
631,224,981,671,620,887,598,692,568,477,703,704,687,885,118,599,316,278,114,
640,929,670,733,650,520,808,714,489,836,846,013,524,643,336,369,985,010,679,
024,147,041,555,375,521,018,826,084,692,701,891,729,295,721,575,772,173,061,
135,427,242,080,727,771,473,207,795,613,818,232,746,665,925,704,781,561,086,
369,394,435,752,227,673,624,372,760,072,960,638,748,375,474,069,220,269,171,
561,311,582,372,780,864,768,383,830,956,877,155,011,471,787,749,338,172,171,
653,922,052,646,709,325,142,540,830,230,472,522,773,858,890,229,776,928,582,
015,006,496,286,769,588,433,191,548,741,067,587,455,133,493,583,077,590,920,
216,771,074,427,572,566,259,936,273,537,744,717,291,523,676,924,018,928,578,
592,514,397,262,628,288,888,969,307,907,253,096,127,984,205,967,569,000,605,
217,537,433,522,202,012,790,232,919,821,289,099,465,387,045,459,535,170,356,
074,450,361,587,898,461,340,691,204,007,772,278,769,558,759,176,781,182,427,
308,675,713,552,548,897,360,132,281,456,523,836,326,850,912,875,123,050,525,
529,491,759,624,086,380,042,484,646,407,244,380,329,142,400,197,766,547,590,
893,231,768,723,070,601,329,911,118,402,368,402,316,446,332,092,074,280,937,
787,119,944,380,821,862,351,709,636,502,974,992,621,951,860,502,901,329,458,
884,597,127,275,303,387,536,288,928,146,788,161,971,577,416,468,057,854,655,
565,377,595,393,319,506,572,671,343,853,882,357,008,137,709,986,415,235,582,
025,657,056,858,679,623,520,854,684,482,639,460,582,005,657,874,796,282,708,
736,091,227,944,214,720,732,161,176,426,271,891,800,577,442,715,901,226,982,
663,651,265,957,528,820,562,472,229,934,308,260,214,503,123,369,706,826,878,
658,584,146,600,946,829,237,215,331,094,445,448,268,621,543,141,083,792,727,
365,063,138,955,491,401,178,195,737,589,353,205,896,245,328,700,066,088,763,
296,482,639,954,097,438,750,907,418,308,054,352,921,867,363,825,123,154,807,
575,626,014,049,349,654,581,728,502,739,149,140,878,713,062,569,681,437,996,
484,250,807,526,128,297,140,248,512,153,295,588,123,156,345,595,567,683,058,
456,776,746,681,801,570,931,252,472,581,802,387,618,922,077,970,150,900,953,
890,309,691,506,012,293,858,891,288,682,108,074,051,882,826,316,547,854,493,
914,537,327,689,930,633,897,642,333,355,189,026,427,926,548,710,998,515,962,
144,517,815,197,193,293,039,276,785,445,145,012,076,657,909,460,857,615,148,
497,379,607,393,034,192,027,848,145,298,459,009,883,559,059,356,703,418,040,
784,175,938,236,896,414,053,384,655,072,596,293,786,514,668,350,211,792,364,
484,694,570,412,569,888,074,261,489,421,889,848,796,921,792,080,230,501,256,
820,727,821,818,177,341,721,370,394,415,968,635,823,332,390,610,595,608,624,
968,797,352,362,078,336,412,432,099,296,117,385,505,989,089,236,358,697,521,
906,480,020,009,566,270,158,555,005,110,365,078,399,739,407,020,910,859,547,
667,647,667,760,109,606,451,975,065,792,847,644,588,068,448,772,602,380,018,
224,654,948,437,727,427,932,895,917,266,350,605,027,519,352,387,758,950,339,
895,457,176,347,177,267,178,409,429,193,752,580,617,609,649,700,263,238,520,
608,378,019,554,085,401,980,794,630,873,669,934,049,395,645,274,223,749,771,
715,042,078,790,051,600,960,812,448,579,118,057,707,752,896,004,945,150,362,
249,893,595,605,840,732,609,518,304,379,588,648,598,463,052,324,039,434,643,
582,053,281,639,582,510,759,893,226,877,385,308,002,489,720,845,633,813,476,
847,159,436,978,068,925,019,228,158,589,188,010,159,257,431,355,158,962,322,
828,661,568,586,523,877,711,161,817,054,935,083,751,123,314,363,571,677,192,
994,508,909,662,720,833,330,635,928,825,714,746,210,579,753,982,636,134,571,
065,444,586,612,278,744,669,743,953,603,379,350,440,570,407,910,531,279,496,
322,764,682,112,143,163,353,205,057,007,399,029,801,358,253,652,531,744,480,
061,700,790,431,379,279,851,290,464,124,918,448,864,352,163,023,674,827,756,
350,595,676,794,875,855,053,405,164,501,645,574,333,714,293,861,077,747,947,
628,797,470,752,920,428,595,448,253,188,062,589,633,924,897,693,591,808,820,
396,583,589,533,430,700,712,066,139,309,195,495,820,070,090,156,215,964,027,
928,094,253,758,888,484,879,288,622,871,947,371,120,600,495,643,631,625,714,
050,103,385,846,946,528,535,342,560,948,030,148,720,624,233,339,286,902,154,
124,065,894,267,747,352,020,023,346,653,471,613,775,861,504,442,187,656,874,
625,959,367,615,194,957,153,055,957,352,138,780,119,348,163,170,969,389,039,
135,615,660,584,281,996,476,354,109,413,705,178,022,798,764,250,418,246,836,
847,239,239,370,303,207,142,256,866,816,067,652,484,250,496,865,089,667,916,
403,052,896,892,987,726,328,951,961,429,139,251,656,366,492,596,257,224,256,
385,996,779,401,837,861,871,386,311,618,438,044,531,277,079,290,426,693,204,
445,157,205,428,178,064,131,265,771,418,598,700,612,995,900,816,752,929,520,
022,048,423,507,988,582,683,256,375,996,039,670,516,219,039,512,167,796,403,
526,300,352,065,366,428,677,129,812,779,479,422,468,498,064,320,990,051,051,
286,600,095,256,507,451,214,766,051,409,575,966,508,168,560,944,589,128,527,
530,291,995,999,501,589,999,576,940,379,440,788,264,846,898,905,364,283,740,
276,857,780,849,201,190,021,275,593,021,039,613,893,436,166,631,521,953,136,
760,168,150,174,772,615,383,881,179,749,887,922,292,332,080,635,058,186,630,
611,580,330,687,931,600,647,361,785,862,154,098,679,552,121,582,171,574,257,
190,240,770,689,880,656,318,418,054,936,791,404,344,821,878,392,636,719,893,
220,185,871,809,091,330,066,050,094,754,957,679,188,936,139,692,367,686,113,
700,377,155,230,500,075,724,956,564,350,473,137,316,512,146,256,538,921,619,
707,408,914,795,127,776,973,924,434,698,912,280,701,492,568,860,801,563,990,
034,658,943,359,331,773,789,158,484,091,472,991,039,711,827,132,215,718,729,
030,423,759,125,229,106,351,358,385,494,605,495,673,799,865,160,184,209,728,
939,884,201,491,875,802,057,334,757,657,637,491,819,389,510,749,812,639,703,
469,007,703,611,546,498,746,604,672,695,879,163,228,488,691,209,750,857,271,
348,054,875,612,609,846,046,297,198,762,725,173,021,587,247,260,128,689,021,
425,897,648,467,909,875,500,093,217,321,547,611,802,764,333,708,861,675,208,
103,828,883,053,512,086,541,609,758,424,422,317,400,398,015,624,261,480,540,
556,381,033,440,095,015,540,770,391,649,243,718,872,519,736,390,205,005,876,
911,288,141,928,018,217,382,999,665,365,914,414,132,172,555,964,587,305,047,
992,773,283,053,503,696,390,596,259,405,671,848,284,056,059,492,280,292,482,
005,208,835,370,121,353,943,578,987,885,550,532,445,857,966,318,604,874,918,
576,161,950,109,131,069,808,463,365,046,748,939,277,603,089,227,352,273,278,
822,089,027,188,791,160,757,731,260,290,037,716,891,458,309,393,855,714,988,
964,877,788,201,495,912,041,541,845,076,817,385,522,745,965,499,033,342,727,
778,945,508,982,821,082,467,831,479,071,585,055,741,971,005,795,019,553,320,
988,656,668,119,134,727,477,922,124,904,171,561,628,290,050,736,704,126,536,
711,857,369,790,126,346,488,417,834,076,741,308,213,427,824,464,300,535,420,
352,471,128,418,979,606,344,596,891,043,292,688,840,116,700,023,214,199,180,
901,456,506,281,804,435,612,836,363,567,239,777,200,475,619,870,363,456,111,
331,585,441,017,570,986,439,150,510,207,348,038,700,551,586,869,257,851,737,
302,944,631,415,794,106,443,704,526,029,840,675,396,774,825,152,696,958,152,
684,385,548,225,047,144,545,911,800,783,178,000,888,238,263,071,790,001,732,
035,266,410,398,621,726,273,227,385,823,519,362,288,036,150,153,132,339,620,
904,754,152,289,997,798,236,405,221,424,736,670,759,801,401,953,926,577,063,
105,356,037,137,923,203,551,959,082,687,410,759,778,600,838,748,988,907,064,
712,278,913,539,952,179,102,167,563,296,142,201,756,413,138,340,672,091,667,
445,541,515,422,195,805,390,698,951,699,877,043,146,360,840,743,850,202,056,
893,407,735,810,843,332,935,492,288,696,640,177,950,986,102,611,869,656,404,
585,568,989,835,510,907,288,839,158,020,755,412,397,832,961,374,469,238,426,
556,633,257,594,197,156,750,715,571,268,614,389,066,871,619,882,884,478,837,
884,710,978,496,038,563,446,547,764,859,553,326,516,518,911,280,821,659,274,
649,286,077,519,434,158,901,497,193,578,532,447,523,276,072,008,010,042,774,
403,829,570,928,700,981,904,699,025,667,480,310,354,894,995,591,873,827,193,
903,145,934,631,892,652,837,919,208,227,986,782,340,902,354,581,751,985,371,
397,172,901,365,128,413,111,598,021,620,110,273,545,113,638,798,375,666,488,
804,282,840,589,653,639,873,506,599,347,056,067,931,599,939,084,876,835,519,
511,534,263,717,274,246,051,648,206,084,016,615,138,391,967,258,538,420,755,
961,987,462,006,072,405,092,056,605,005,678,569,739,495,720,284,452,196,282,
260,604,474,289,661,527,016,259,891,317,190,995,216,307,986,137,894,661,495,
150,550,026,135,169,885,526,798,889,755,355,244,579,514,039,065,894,589,500,
118,723,035,475,294,225,045,477,687,760,973,752,902,261,748,024,712,924,915,
748,589,482,493,795,434,161,681,473,991,047,814,886,731,012,219,655,214,043,
896,064,673,111,442,167,417,106,918,599,468,006,156,238,304,634,368,836,522,
022,773,232,840,250,284,712,217,257,318,758,007,863,808,285,860,016,205,979,
662,878,079,565,822,168,482,809,614,638,090,415,946,088,119,340,593,149,005,
133,666,310,425,028,901,096,264,948,140,548,246,427,139,029,088,326,706,509,
797,645,705,069,752,856,697,130,384,503,226,680,610,722,617,591,596,968,286,
710,506,706,020,009,161,989,816,894,757,992,535,742,592,648,694,063,644,190,
442,222,075,826,425,019,074,640,789,532,450,467,361,943,959,886,221,646,424,
267,651,290,047,531,437,623,528,944,916,167,211,823,517,743,599,511,332,096,
272,249,864,744,141,115,748,116,175,274,052,650,019,101,035,079,271,562,108,
761,557,275,542,682,848,667,410,095,990,295,140,359,160,415,290,218,005,756,
026,669,306,806,409,065,630,449,248,014,110,456,605,469,761,088,246,959,238,
877,928,270,763,256,044,154,916,434,973,494,284,680,700,679,908,584,521,138,
430,882,060,481,761,963,397,600,057,905,102,453,354,613,517,604,962,189,961,
792,841,650,953,801,549,440,626,349,060,372,710,101,976,827,293,402,515,763,
723,065,221,817,927,785,319,256,651,439,868,022,334,123,576,050,126,757,580,
932,640,265,357,178,845,965,810,342,461,216,017,705,595,619,233,955,560,784,
987,907,397,633,192,235,292,216,018,349,200,127,282,391,995,385,013,512,983,
896,049,371,988,775,261,682,938,165,325,955,743,590,413,508,364,765,440,279,
843,480,266,900,831,605,209,721,297,980,327,261,198,671,240,298,801,218,766,
639,503,901,929,489,528,776,081,920,978,737,276,998,513,701,187,881,545,827,
858,415,242,933,675,150,794,842,813,106,202,103,458,665,929,527,931,793,055,
069,186,974,497,919,264,251,489,297,736,854,936,231,173,702,761,460,629,750,
915,984,576,785,422,744,119,250,396,108,026,699,994,613,778,177,441,431,486,
939,527,843,860,658,313,881,569,432,972,826,406,159,844,791,982,992,531,028,
954,816,278,174,246,132,693,437,329,709,404,266,353,674,191,932,624,321,546,
290,826,518,988,790,646,021,804,766,348,295,054,219,782,100,994,107,318,798,
886,339,658,745,553,342,151,977,509,518,592,792,022,010,757,988,600,705,311,
147,515,620,806,846,735,087,591,750,342,957,167,756,834,465,392,430,321,713,
797,110,482,782,310,042,238,627,361,689,932,874,087,043,342,364,958,458,510,
099,906,804,210,647,444,362,672,978,562,980,719,402,313,984,903,810,160,737,
745,759,398,372,923,504,737,087,057,631,432,172,341,788,973,442,048,390,380,
364,491,838,466,350,553,807,801,902,250,377,381,959,519,072,662,287,479,514,
985,620,734,189,768,597,660,281,470,366,503,169,951,816,507,320,975,736,480,
459,526,842,987,868,016,595,369,712,490,011,421,735,336,845,903,539,155,999,
376,372,710,715,226,384,666,144,459,928,219,762,571,825,393,872,578,176,922,
977,034,336,108,696,450,441,007,209,938,491,289,302,759,391,846,329,245,305,
998,867,196,949,372,057,237,446,471,428,017,851,675,397,923,365,254,781,989,
901,591,303,773,602,744,755,796,070,229,129,932,307,795,435,875,234,029,119,
744,419,256,379,673,219,414,925,817,844,479,259,976,026,097,993,632,190,000,
846,286,421,482,631,693,191,097,686,127,918,829,892,301,466,014,559,501,804,
686,879,164,409,908,219,152,694,689,971,589,038,577,130,497,900,567,347,605,
212,063,874,302,722,981,665,347,437,437,448,447,585,225,189,034,854,630,471,
768,006,113,496,090,367,254,194,801,952,210,820,202,392,040,563,864,047,724,
447,865,639,144,835,456,159,652,180,690,825,449,029,176,139,001,572,960,272,
957,415,966,860,906,394,606,762,022,665,457,772,159,838,979,829,305,842,554,
116,596,329,261,048,730,959,962,438,977,804,180,645,012,338,699,185,411,521,
313,747,252,538,296,412,443,776,036,400,123,703,270,214,524,006,643,231,319,
600,554,643,824,760,070,680,128,017,861,784,618,633,968,562,713,594,572,424,
121,383,112,388,021,622,836,675,253,814,491,019,527,156,916,767,639,202,868,
203,572,050,476,960,557,527,403,719,812,538,325,959,704,110,747,481,092,767,
003,867,494,278,102,519,597,503,097,835,974,366,128,568,300,719,146,037,053,
628,713,578,774,419,861,062,563,619,664,988,687,245,333,905,876,128,633,382,
128,095,968,816,953,128,645,559,676,871,822,965,562,578,322,581,853,421,196,
946,001,462,929,771,760,379,046,455,910,897,944,222,072,300,153,701,492,815,
795,322,345,540,021,704,933,116,817,025,030,000,261,999,584,811,104,019,220,
048,497,371,829,321,652,682,793,498,455,665,315,143,388,968,454,946,453,516,
249,226,106,406,349,951,641,618,610,223,185,523,252,550,725,901,960,688,823,
461,952,482,263,601,793,456,036,941,553,937,006,938,994,440,062,837,552,786,
184,099,156,270,134,047,871,490,567,774,647,330,589,382,248,660,464,290,597,
820,187,735,732,028,345,703,666,200,905,290,023,767,673,940,074,840,624,206,
190,467,519,489,047,466,593,125,409,622,371,932,350,273,962,507,213,330,165,
964,170,784,174,912,419,619,156,043,583,648,178,503,961,863,707,614,354,394,
374,393,415,827,072,843,927,645,513,897,095,438,538,628,958,115,045,632,964,
991,625,835,466,646,113,371,849,116,870,914,983,189,148,966,552,450,416,317,
535,721,075,841,544,209,247,348,448,614,931,522,276,550,393,410,513,947,229,
226,544,336,124,499,847,060,339,373,875,054,872,922,072,795,729,112,087,956,
945,871,472,296,139,705,110,665,863,806,482,833,667,820,898,614,196,800,046,
892,963,080,499,212,990,119,839,141,613,615,159,062,140,984,079,781,995,754,
716,236,907,969,589,802,399,815,914,857,994,238,396,170,831,159,494,111,649,
811,966,822,518,976,235,114,071,181,201,058,910,035,271,223,306,334,380,232,
932,284,842,380,588,661,256,763,314,150,237,188,612,315,114,360,152,262,783,
667,540,787,805,902,969,304,355,419,720,569,090,751,475,755,264,411,116,421,
105,666,378,661,997,045,442,368,212,267,207,258,977,732,270,145,589,473,687,
435,186,762,680,823,446,095,799,049,272,353,004,023,772,696,322,033,887,772,
359,273,999,161,453,787,311,364,733,271,961,423,765,615,878,769,885,813,442,
589,675,547,317,171,212,026,608,823,616,344,542,089,019,605,380,373,016,887,
364,277,935,273,857,710,133,389,792,632,000,684,072,281,179,048,292,385,932,
604,284,992,238,908,461,811,447,512,976,727,747,208,338,662,368,452,039,853,
537,398,494,390,777,147,663,926,944,355,874,418,595,827,198,912,326,775,313,
585,195,288,230,819,033,502,643,503,867,533,404,480,419,309,049,497,341,152,
876,186,324,573,680,973,416,407,272,388,373,314,382,019,624,312,994,343,569,
467,304,240,613,557,281,897,777,784,453,971,929,529,207,110,582,379,640,185,
762,114,296,411,627,856,188,777,669,316,500,020,982,901,221,047,779,334,031,
102,512,591,425,050,825,794,989,609,087,653,403,123,867,443,934,073,441,221,
303,382,477,533,154,749,342,968,586,419,233,319,060,548,107,183,439,705,845,
085,864,116,076,777,908,497,365,438,664,467,575,532,382,383,617,927,472,030,
308,874,676,697,791,796,724,160,382,568,877,629,663,904,241,937,224,813,948,
550,251,094,597,583,196,787,706,911,810,351,748,135,026,470,794,514,438,847,
778,356,066,486,125,694,963,047,412,538,853,643,384,911,770,623,770,075,095,
137,343,091,083,248,156,592,497,542,594,019,114,296,861,759,974,376,183,309,
441,655,019,888,941,227,045,442,720,262,035,993,512,108,961,713,642,872,502,
018,930,157,913,400,013,029,910,170,822,045,067,350,566,971,436,270,353,053,
327,315,555,437,569,707,492,643,290,605,730,698,916,530,597,653,575,750,793,
176,498,440,615,745,603,225,515,746,970,550,117,648,875,280,865,166,426,136,
579,195,420,837,234,173,155,496,054,667,828,112,811,717,279,139,821,638,264,
565,332,599,869,182,108,067,722,121,969,433,505,888,270,959,497,069,941,140,
891,951,458,691,967,272,039,952,811,401,600,685,462,289,579,603,865,869,265,
959,229,115,914,334,391,528,228,832,937,696,922,087,169,897,458,962,155,810,
901,215,693,892,365,038,466,634,235,650,273,629,914,919,782,189,008,306,074,
102,678,055,494,588,665,945,982,640,702,936,817,694,707,345,823,508,104,506,
636,079,487,093,197,081,757,572,145,269,362,935,174,150,735,738,918,136,571,
203,634,797,495,832,033,147,046,585,250,579,391,767,216,865,226,709,395,827,
494,848,867,934,143,553,499,633,940,755,111,443,876,296,394,305,465,214,977,
615,894,174,442,417,308,593,386,799,508,193,992,005,338,419,045,227,962,920,
118,872,243,691,408,877,869,174,864,164,921,704,703,876,393,732,568,394,955,
240,447,007,583,306,874,604,508,484,740,662,873,621,096,646,041,736,633,547,
500,060,142,593,436,408,987,197,918,786,796,465,507,847,325,298,888,287,604,
482,991,123,861,800,778,191,136,276,581,026,732,787,281,556,180,660,689,489,
281,056,305,086,097,623,587,357,539,535,455,845,851,371,727,673,279,032,211,
715,770,190,073,181,314,128,474,623,757,920,781,235,645,682,258,839,991,573,
154,350,938,268,565,540,160,197,391,636,195,053,567,973,655,992,954,260,290,
571,679,523,167,242,373,390,854,738,779,418,604,972,129,732,021,962,877,651,
850,786,267,965,689,292,992,110,193,695,817,568,530,275,760,701,518,692,515,
956,193,618,053,864,295,403,768,370,580,620,131,960,331,897,880,971,857,710,
215,570,535,327,569,171,219,151,915,155,517,638,305,234,856,852,026,220,910,
275,728,662,422,488,526,161,621,560,156,940,553,655,128,824,519,823,833,230,
161,553,313,005,781,842,281,626,890,607,573,036,286,607,273,325,819,865,059,
003,047,445,557,520,221,085,407,681,182,955,030,131,079,117,052,816,272,014,
174,694,752,894,310,890,517,801,276,369,584,247,630,444,389,280,305,941,991,
904,948,224,550,905,120,078,813,734,332,107,430,211,045,645,356,281,323,735,
797,194,489,795,972,990,215,709,609,653,998,880,759,328,366,950,603,506,193,
438,386,553,555,507,349,154,058,780,671,177,221,762,402,500,750,859,246,328,
336,217,062,460,216,986,607,004,832,634,385,475,916,762,104,132,663,186,898,
301,906,669,435,594,064,489,478,870,184,361,907,977,522,274,451,063,503,599,
703,984,183,279,036,709,952,764,162,591,622,897,926,083,150,264,155,744,932,
059,370,683,667,471,842,113,215,825,168,515,179,033,329,689,730,235,384,924,
705,144,099,063,324,250,239,190,870,472,229,765,872,182,292,191,336,888,565,
665,784,614,931,023,455,540,087,814,163,224,846,605,439,969,212,591,401,351,
621,244,513,841,685,290,209,880,308,718,345,152,608,699,231,492,297,762,661,
594,462,403,399,986,509,387,867,100,993,765,573,588,859,199,583,964,200,879,
473,176,176,868,511,581,260,632,402,004,172,018,215,656,871,315,756,930,658,
337,189,108,325,718,128,818,848,757,104,678,197,258,985,626,297,558,435,799,
909,169,612,163,392,590,655,000,905,942,822,716,866,180,904,690,070,930,665,
475,802,018,993,673,243,590,662,544,168,643,916,723,651,075,228,781,311,433,
988,624,476,889,317,919,620,935,497,239,062,162,725,475,458,252,169,479,780,
662,431,589,091,975,021,923,310,182,243,696,957,506,683,406,102,188,831,933,
699,404,349,844,183,881,146,943,064,085,436,173,237,372,166,694,643,779,609,
993,394,835,424,406,320,133,683,710,423,543,762,733,958,589,084,602,243,763,
651,273,048,677,906,366,967,690,179,132,686,690,560,768,566,547,240,667,556,
782,601,192,221,982,316,241,247,304,190,233,569,133,441,204,767,096,326,039,
448,003,995,277,945,724,857,275,641,012,146,339,991,423,331,800,271,215,860,
917,901,494,687,899,723,868,462,432,441,609,238,561,492,803,194,496,334,145,
156,808,013,221,476,597,775,483,412,675,290,439,729,211,769,828,556,336,692,
922,047,865,952,164,892,460,431,845,163,788,203,133,006,940,480,834,831,584,
118,139,652,874,462,228,163,847,845,637,211,582,489,780,644,749,935,399,093,
348,326,227,023,086,879,404,644,992,771,695,058,730,592,715,921,429,782,161,
194,023,143,793,709,308,392,613,792,810,960,499,747,789,474,302,574,664,376,
336,415,386,899,618,705,951,571,905,374,319,120,510,460,617,239,577,350,859,
834,979,119,437,136,913,569,525,673,399,385,560,189,656,041,934,439,364,924,
054,261,231,989,565,548,637,659,409,161,088,369,707,692,402,962,032,182,938,
575,105,602,860,736,494,956,479,103,045,234,401,221,737,802,270,507,936,457,
362,479,429,965,596,959,179,136,979,302,883,900,895,587,404,889,822,416,533,
252,609,017,738,679,843,255,827,493,617,324,104,552,098,014,985,448,662,923,
270,505,565,268,108,957,797,622,111,162,272,445,308,593,728,960,752,383,347,
137,507,835,197,614,913,597,117,146,545,232,171,700,602,105,772,706,107,804,
662,493,848,046,262,738,669,468,568,213,870,204,132,423,258,264,530,410,147,
774,792,160,951,537,613,398,893,677,138,712,499,747,799,061,198,423,680,037,
558,775,801,955,872,751,930,994,409,937,625,432,945,310,014,608,102,734,843,
865,513,437,635,201,575,799,699,329,892,537,348,557,017,912,127,733,252,410,
744,763,137,829,095,826,070,113,165,203,745,176,803,656,707,172,561,282,321,
440,285,449,236,888,313,673,898,773,649,022,299,319,210,188,148,533,862,592,
866,554,345,781,420,851,029,613,280,918,542,272,678,389,929,665,149,941,824,
819,616,974,464,287,314,673,152,848,886,362,013,970,503,994,035,429,651,480,
482,722,879,842,783,467,985,663,179,379,955,619,813,095,194,357,277,767,401,
221,918,780,489,245,349,869,100,921,562,031,538,137,699,610,939,407,570,279,
757,896,373,136,944,547,970,500,694,870,393,097,235,429,673,889,790,195,288,
688,163,360,211,931,185,085,329,331,139,633,050,364,186,739,801,381,376,474,
559,009,573,199,481,797,260,967,205,048,151,332,938,977,297,879,734,625,479,
655,984,540,307,946,676,431,657,788,480,373,117,907,066,378,256,642,329,097,
056,351,199,404,813,997,925,816,308,979,082,936,494,017,215,686,638,281,290,
700,019,258,570,755,151,556,824,076,647,753,569,859,273,131,641,084,001,264,
810,000,168,572,498,676,927,407,729,586,607,694,849,738,321,491,031,243,470,
861,849,287,689,429,565,077,686,873,837,184,262,230,800,925,620,623,601,707,
032,612,707,765,011,047,045,998,549,193,069,207,003,854,391,489,921,426,312,
623,464,704,048,763,880,503,229,238,680,106,289,985,282,058,836,654,402,869,
469,902,585,296,571,500,963,590,467,716,915,071,762,721,841,064,055,732,392,
742,266,773,290,127,647,093,943,771,554,463,968,163,754,043,690,768,070,608,
186,116,805,631,600,135,203,278,227,463,681,186,468,290,674,107,282,935,456,
476,457,907,150,702,669,857,201,082,914,119,960,781,914,589,801,014,822,051,
361,712,406,432,350,318,751,462,939,069,354,438,469,573,896,850,521,646,188,
483,882,837,665,259,637,941,276,485,133,615,291,984,489,147,500,790,924,714,
797,946,788,986,104,386,746,309,998,431,567,844,411,739,187,903,367,461,133,
645,875,950,210,141,172,161,903,580,313,343,246,471,179,564,763,212,451,575,
392,217,532,680,693,075,390,380,050,595,232,878,854,392,536,420,684,662,496,
789,547,175,060,339,501,405,280,107,994,241,178,502,446,909,195,568,355,206,
437,604,401,744,521,188,330,816,496,003,497,834,836,802,046,330,639,383,651,
410,835,036,946,613,307,293,306,813,222,201,053,333,092,654,598,550,184,506,
014,071,554,033,526,875,603,678,725,912,308,101,935,253,715,877,368,577,740,
124,822,833,085,013,635,453,854,993,611,733,669,405,135,735,603,996,129,183,
693,630,577,731,128,181,661,413,906,387,625,286,637,864,498,706,363,125,072,
587,504,832,476,798,004,817,641,740,688,851,242,279,170,448,766,021,390,422,
702,384,032,794,296,661,404,777,264,363,073,748,238,705,546,571,727,934,287,
802,661,860,707,696,174,501,817,497,128,804,679,800,720,457,500,843,996,581,
334,835,903,123,033,611,406,447,162,343,167,034,295,504,365,138,457,970,805,
248,501,894,594,808,775,112,844,507,276,285,541,224,426,265,791,143,541,743,
206,188,886,291,013,268,772,283,821,152,974,603,501,258,867,558,516,321,596,
967,469,613,725,631,902,728,163,749,339,388,282,536,767,288,236,749,279,566,
303,207,401,667,261,641,849,490,749,813,427,499,867,026,432,929,348,193,626,
423,433,616,845,180,142,190,145,385,464,945,650,146,105,587,303,092,439,792,
868,293,313,935,041,886,555,391,733,717,956,511,048,601,231,991,910,646,879,
450,313,845,397,933,510,291,326,953,233,115,919,209,552,454,407,223,591,899,
848,702,876,332,904,872,197,024,968,079,506,879,967,211,451,992,763,718,188,
481,536,531,499,503,904,124,166,088,874,194,325,068,448,955,331,787,778,807,
451,156,758,076,608,741,132,327,913,162,469,023,309,173,827,832,946,128,122,
644,079,219,292,263,038,124,341,221,641,250,047,062,080,158,819,796,115,264,
360,175,809,409,031,005,169,277,522,857,854,966,228,693,317,449,665,630,283,
757,668,914,877,396,534,485,130,181,841,959,697,421,521,215,123,389,190,364,
408,300,615,647,697,771,891,575,913,337,461,301,811,295,535,803,443,592,514,
861,266,775,131,436,267,718,742,872,582,189,395,159,872,259,619,697,765,399,
521,070,013,965,606,774,247,980,592,596,148,462,361,760,719,669,689,463,367,
231,099,185,237,637,336,562,186,038,628,224,731,517,774,314,005,841,423,332,
062,994,486,169,744,853,676,956,630,488,358,905,107,315,222,430,816,602,418,
196,244,141,604,774,419,695,024,315,859,480,875,003,449,426,524,148,684,973,
342,022,126,913,374,008,370,365,589,656,202,109,486,097,733,012,400,342,753,
807,032,995,981,939,784,867,785,671,816,533,498,639,192,017,870,020,585,476,
051,346,735,349,048,579,869,757,188,766,163,639,319,401,314,511,997,738,314,
525,144,074,372,051,779,632,030,783,512,392,405,128,769,919,945,302,587,073,
202,296,266,111,517,721,198,354,954,647,370,864,352,564,158,554,291,955,747,
152,978,814,432,768,638,294,888,048,135,158,455,928,563,957,548,962,673,254,
053,316,954,039,047,230,858,385,950,563,653,770,533,682,966,407,963,005,063,
397,276,035,776,379,625,498,470,457,008,704,332,325,719,106,439,692,270,084,
790,845,954,273,082,942,969,632,046,596,817,817,136,589,604,786,893,622,737,
643,585,722,679,546,251,593,367,346,314,131,782,266,909,939,905,168,092,336,
042,851,578,138,771,674,327,957,072,593,830,411,279,518,532,550,112,755,125,
496,458,038,162,169,179,529,852,681,478,570,798,729,344,527,966,034,580,326,
628,370,643,620,727,016,567,923,565,148,052,826,664,002,886,738,993,718,901,
228,750,722,251,994,631,895,610,669,591,267,957,633,166,099,470,882,775,691,
372,583,571,010,788,564,017,525,048,427,273,266,336,796,364,729,837,913,115,
805,514,115,939,288,004,409,056,671,648,416,541,072,204,936,110,901,208,828,
867,885,527,287,754,166,526,877,091,862,726,799,698,080,902,977,235,129,556,
908,612,039,129,462,678,501,656,012,717,217,655,715,016,848,691,068,215,557,
827,159,859,449,816,502,629,026,207,945,953,657,103,266,296,592,928,401,806,
262,852,820,680,277,774,468,056,420,567,392,944,065,309,315,307,287,489,310,
813,029,211,560,792,921,923,958,532,375,039,847,176,047,678,297,918,268,267,
185,616,063,048,358,413,077,530,385,518,742,188,478,714,423,122,729,355,109,
234,141,412,904,599,511,157,123,087,234,373,362,431,422,155,383,572,226,214,
390,943,064,861,650,167,510,245,015,438,422,541,964,434,249,245,553,959,864,
042,204,542,490,564,227,396,849,442,285,959,484,474,944,526,477,920,036,021,
659,370,807,433,551,995,090,026,513,410,999,849,680,582,048,680,925,519,612,
986,332,218,878,249,868,086,031,455,450,975,305,792,928,688,395,591,319,113,
462,767,176,740,839,192,084,609,624,474,313,211,469,701,948,436,296,447,391,
193,054,634,282,329,433,211,008,911,270,444,162,132,413,861,587,610,429,696,
110,184,583,190,699,463,383,756,375,085,651,193,443,879,722,085,446,956,161,
526,223,015,222,171,150,582,593,243,123,145,071,825,654,652,398,243,932,599,
313,294,939,610,731,921,877,385,039,682,611,651,192,038,294,191,879,236,687,
787,071,674,182,391,790,226,451,574,892,082,325,867,164,276,908,411,852,596,
008,249,977,500,712,335,860,391,270,781,127,785,893,221,401,501,380,386,905,
661,123,886,680,603,767,339,579,356,714,004,077,362,581,885,479,507,177,174,
585,214,495,838,597,722,018,791,409,151,531,926,422,704,302,908,996,515,356,
599,155,340,068,950,411,997,792,873,778,148,988,808,569,835,759,027,248,950,
401,251,169,378,159,244,500,344,981,908,760,267,234,671,585,099,105,143,724,
438,086,858,334,858,452,654,846,252,791,759,583,270,479,564,221,167,693,445,
128,248,382,597,839,531,429,245,660,211,503,363,190,857,057,441,148,333,827,
615,651,312,982,819,212,377,217,012,919,899,938,541,108,839,776,599,694,543,
359,571,058,950,538,202,724,363,318,997,904,780,878,847,381,242,899,289,307,
567,115,263,438,911,624,880,761,504,782,791,039,788,363,195,344,698,718,092,
683,024,633,831,293,995,164,546,865,739,597,455,613,958,684,408,551,604,542,
951,572,922,251,803,291,376,893,681,980,899,291,978,928,822,581,196,411,691,
131,427,672,625,844,535,206,210,727,930,060,733,970,389,124,222,426,700,926,
025,353,947,550,693,187,804,786,058,658,129,669,697,400,041,735,910,124,181,
894,457,454,226,273,337,013,409,994,830,258,944,409,771,772,729,119,117,221,
722,149,388,450,902,143,502,385,696,712,297,871,212,714,099,751,701,885,705,
800,775,042,684,981,337,013,440,017,782,925,696,042,894,162,587,912,497,398,
254,865,224,978,920,998,716,089,840,180,775,252,091,221,963,097,967,811,988,
191,628,899,432,438,969,007,626,207,629,564,649,856,581,707,187,093,438,682,
535,023,045,478,243,738,306,643,739,464,006,099,991,471,455,572,606,048,996,
011,557,884,763,965,523,546,619,987,554,740,887,486,427,318,309,366,798,365,
432,055,404,993,052,087,848,782,454,521,786,572,946,513,943,242,792,380,154,
057,573,201,580,547,078,285,223,172,810,747,049,348,057,102,671,899,459,826,
945,970,501,375,366,461,012,775,763,325,292,419,143,215,761,374,780,607,048,
047,603,312,744,407,280,046,373,664,824,353,628,784,856,403,379,647,090,693,
748,435,794,581,135,005,244,629,200,333,439,021,287,952,433,289,594,584,645,
015,644,899,958,715,035,504,058,568,008,108,518,141,849,170,637,740,992,112,
864,389,231,424,912,162,745,876,241,522,040,231,332,824,589,474,415,534,243,
651,320,693,446,376,451,892,410,959,646,099,176,670,330,860,557,054,518,028,
730,313,509,559,699,891,140,866,153,705,988,494,362,296,999,211,489,107,309,
545,510,479,785,631,702,456,364,042,192,234,923,613,677,326,379,436,284,120,
252,391,127,516,757,914,618,244,939,140,828,588,507,917,477,492,006,471,014,
299,577,974,738,557,420,137,270,538,204,188,722,993,109,636,686,778,472,661,
887,870,802,414,906,562,776,627,708,166,998,524,188,698,649,370,339,541,077,
111,285,839,771,018,842,485,106,896,395,268,665,228,661,644,797,536,068,003,
648,592,151,465,347,975,613,139,381,366,366,840,794,681,415,839,398,852,064,
853,667,573,614,545,313,796,156,670,439,632,973,190,924,859,252,995,291,513,
677,990,445,157,023,705,491,411,335,820,257,412,373,302,463,358,887,617,664,
805,087,236,475,215,147,532,571,523,387,857,407,271,367,598,853,743,616,626,
927,162,171,773,925,891,974,862,011,250,749,320,636,664,446,986,621,269,709,
563,477,630,587,869,600,898,777,309,940,378,332,499,140,303,929,011,828,811,
331,833,616,378,684,947,216,193,179,931,225,363,155,694,768,032,603,847,680,
186,256,473,917,125,468,644,813,657,476,657,634,655,278,630,464,387,018,497,
917,030,954,507,956,732,553,978,406,468,375,603,371,132,973,263,269,636,004,
780,670,762,700,155,695,163,875,957,925,597,223,100,304,817,218,708,644,150,
772,581,195,485,097,733,724,430,833,615,730,624,632,681,094,688,050,611,353,
455,425,056,334,924,912,273,179,036,904,126,526,698,080,652,616,020,495,522,
235,161,795,424,495,612,380,591,770,214,570,297,515,903,234,818,858,478,796,
478,719,545,266,329,806,111,839,414,517,264,361,968,830,314,607,142,162,844,
988,653,044,731,320,894,620,232,864,751,773,542,504,983,953,155,863,746,216,
704,494,824,238,293,756,410,144,325,647,548,310,994,484,785,959,750,428,969,
286,233,994,106,074,731,942,575,061,469,748,831,064,270,667,176,206,193,240,
279,715,898,465,149,037,909,357,227,771,731,937,111,172,132,641,934,398,683,
975,404,839,090,889,849,368,892,892,743,781,801,642,569,420,503,392,082,151,
626,614,576,593,166,772,730,264,927,142,171,860,197,953,838,703,012,486,760,
222,117,538,083,358,783,366,001,605,789,202,481,248,488,567,603,337,779,642,
632,679,160,263,447,991,558,961,022,814,355,052,103,365,304,944,282,950,492,
093,134,397,092,852,801,005,335,024,322,570,427,160,591,004,444,704,063,469,
545,774,836,186,598,939,709,749,544,726,474,192,816,069,120,067,910,678,979,
092,246,940,259,630,079,931,564,238,550,552,943,325,284,823,239,600,780,149,
166,977,920,690,194,873,987,085,359,238,489,828,576,955,374,183,831,880,364,
478,224,824,711,118,959,532,741,293,191,691,523,185,379,292,686,473,232,298,
832,368,405,619,311,037,429,454,134,607,708,070,529,815,890,461,199,562,475,
370,468,473,379,996,779,407,085,613,978,647,266,747,427,554,196,662,984,917,
607,210,640,609,803,472,520,264,464,541,357,731,726,109,286,239,690,378,632,
595,411,918,506,529,568,097,206,913,532,352,188,991,885,553,285,747,332,382,
132,702,403,363,973,428,019,208,070,307,035,687,669,598,327,906,004,694,365,
351,427,195,478,345,761,599,811,700,470,018,994,839,550,691,891,015,180,833,
896,478,150,327,374,582,839,711,150,860,032,908,386,273,267,932,791,276,585,
996,933,964,987,787,459,760,414,882,175,248,330,384,081,241,088,432,767,732,
554,474,140,662,803,247,144,563,960,769,729,626,172,162,622,801,835,204,072,
633,253,304,501,388,786,836,051,976,632,722,521,451,616,411,295,285,995,668,
323,895,982,616,132,536,849,423,587,100,005,990,489,104,444,077,878,102,861,
670,620,185,497,397,503,521,642,337,464,548,211,552,425,612,177,915,975,131,
023,682,346,493,851,975,789,378,679,759,792,442,884,524,289,378,601,249,841,
530,396,647,888,783,438,636,501,146,549,623,116,832,490,658,852,810,858,221,
464,089,999,487,705,271,166,609,940,032,364,422,895,765,326,960,421,365,279,
139,249,161,883,033,909,947,814,585,130,087,725,540,836,208,555,139,074,771,
642,713,500,999,555,367,781,292,254,953,844,354,710,004,159,735,819,338,339,
833,941,423,215,506,586,055,101,256,379,319,920,967,853,517,535,633,190,920,
349,140,584,742,332,374,623,287,965,929,839,361,996,183,440,269,059,901,898,
732,089,144,790,804,827,923,215,814,655,526,063,347,890,295,167,471,757,802,
330,904,278,966,479,788,429,194,252,609,509,518,813,559,641,278,036,811,922,
276,297,794,760,348,087,378,725,875,217,370,513,184,270,709,538,517,408,911,
465,696,899,123,046,804,450,120,614,744,234,417,638,957,616,666,465,355,223,
680,551,091,526,994,999,752,180,016,082,239,945,415,650,617,433,701,606,672,
107,983,042,209,888,874,531,531,869,795,722,004,605,572,622,483,320,792,320,
299,406,462,403,440,999,939,010,065,332,350,466,101,275,813,151,054,346,405,
773,362,175,557,335,859,149,617,396,198,655,028,096,355,752,094,041,937,066,
382,789,195,809,969,873,373,904,399,679,087,516,744,100,536,832,833,308,029,
591,104,901,130,187,895,441,827,535,902,715,321,756,290,665,938,250,441,998,
427,336,559,207,877,817,399,780,486,879,082,467,584,674,680,999,917,486,831,
147,451,126,361,594,369,665,129,838,488,817,404,782,308,471,749,028,418,377,
723,500,650,702,509,535,296,782,965,409,796,861,511,515,954,364,794,085,598,
311,763,593,536,375,851,736,034,750,399,021,978,061,188,118,515,974,114,683,
138,731,938,740,770,063,896,269,664,374,966,244,011,324,169,928,288,699,324,
834,032,017,231,937,423,112,091,160,321,702,894,400,185,818,695,142,569,057,
582,640,021,176,413,117,989,010,456,704,345,169,820,407,323,266,190,661,193,
017,058,337,151,481,645,433,469,934,532,800,830,489,110,747,105,615,399,127,
381,040,426,475,610,558,687,989,939,371,929,848,824,174,675,829,189,088,546,
556,661,298,264,103,960,432,191,074,823,409,679,708,359,363,793,095,066,658,
422,571,550,536,132,087,663,013,636,302,143,436,171,255,390,316,331,369,184,
726,740,392,841,688,052,188,672,431,973,705,112,311,199,050,043,865,367,918,
952,221,180,032,138,608,681,722,486,275,767,862,577,735,781,782,455,757,267,
815,453,278,700,012,466,886,445,091,568,145,502,557,896,720,442,222,603,493,
503,772,688,670,996,733,189,446,184,216,682,045,002,757,863,733,656,077,549,
543,520,311,266,902,549,504,358,175,758,393,733,319,077,430,153,078,015,254,
153,998,570,727,381,022,387,929,585,490,680,821,837,548,771,857,605,626,930,
661,648,673,909,954,227,954,339,279,054,260,640,887,798,350,039,061,127,831,
339,664,711,742,162,391,822,029,642,804,352,714,593,244,904,169,133,367,797,
635,693,475,740,483,665,629,988,389,082,658,413,790,816,601,504,697,434,173,
667,908,396,320,246,966,667,082,505,452,271,934,347,932,978,867,983,985,795,
610,282,119,837,024,257,009,528,200,764,133,464,516,609,484,910,052,272,631,
018,372,152,467,422,587,806,825,680,811,356,209,262,022,782,923,257,379,421,
894,767,708,190,171,733,938,854,810,936,587,411,923,211,743,546,034,634,328,
284,275,202,456,238,518,124,649,503,566,518,360,056,747,299,711,997,411,743,
892,591,875,911,985,842,439,977,044,521,104,320,624,616,486,164,128,385,130,
839,894,712,978,939,275,508,311,864,276,673,937,919,957,378,653,656,379,728,
392,456,350,686,705,197,529,013,878,413,948,476,357,898,035,896,476,913,073,
662,773,366,851,629,088,862,473,328,782,236,181,587,732,501,569,922,625,414,
192,920,470,296,614,497,467,098,397,271,100,619,659,855,057,522,179,486,598,
179,280,411,337,228,709,352,771,475,950,892,882,635,506,245,133,889,661,040,
762,564,125,124,865,021,434,998,236,886,835,534,411,007,127,792,679,136,117,
142,689,850,819,512,589,887,134,560,092,335,163,241,137,323,266,004,891,799,
345,991,117,067,392,831,718,979,006,291,739,163,033,929,575,249,476,844,470,
675,971,533,422,627,364,016,407,355,613,396,630,377,436,302,798,491,747,765,
461,755,755,058,650,680,531,475,544,621,938,507,688,636,530,029,038,736,595,
200,867,896,437,186,865,296,106,563,817,915,556,570,311,307,669,212,691,235,
900,752,032,387,455,568,270,579,592,568,514,022,833,697,897,813,890,205,467,
224,827,368,536,363,992,875,105,265,518,207,834,391,576,090,992,796,995,591,
523,237,547,202,871,368,566,053,835,491,515,896,749,013,650,402,134,940,045,
888,533,216,122,530,311,400,258,413,245,902,912,652,360,373,439,215,443,170,
209,792,447,699,408,522,211,548,038,805,521,339,716,759,868,370,490,781,667,
049,210,980,731,894,493,812,404,889,582,532,701,702,661,106,360,848,248,475,
377,155,508,220,954,699,391,369,721,976,267,691,231,860,702,542,609,525,886,
228,579,670,192,528,033,310,108,570,714,092,951,573,318,252,687,185,321,124,
817,003,440,360,994,954,079,939,023,962,171,473,135,210,989,303,152,607,676,
974,115,000,277,933,703,768,611,575,091,622,700,407,277,886,981,643,938,179,
672,393,061,430,819,890,329,513,672,379,280,844,415,429,677,310,983,587,344,
516,481,724,633,378,536,826,472,648,523,097,528,981,368,580,549,707,014,417,
718,804,808,015,670,651,329,640,646,391,022,385,078,469,379,576,948,082,403,
825,733,500,174,018,906,360,145,203,598,386,770,460,044,651,470,186,190,369,
415,304,638,644,500,364,932,825,364,127,536,412,083,779,064,238,838,463,934,
718,297,465,591,758,046,236,478,559,240,187,367,624,017,296,470,070,310,109,
188,213,469,186,201,324,599,778,161,363,155,736,617,131,994,061,526,987,349,
583,499,311,384,368,864,781,230,227,288,466,600,235,915,293,986,856,303,917,
513,237,671,463,199,143,576,498,334,358,749,478,415,286,012,475,308,601,549,
311,693,201,804,603,648,966,339,535,311,468,270,924,962,029,267,486,078,008,
218,506,146,249,923,436,114,981,678,146,903,028,268,043,575,391,714,656,045,
975,276,379,170,236,386,112,238,892,607,266,766,683,159,632,353,144,815,421,
527,711,516,152,901,837,765,084,744,588,625,401,595,030,725,735,498,296,832,
026,808,446,738,617,505,020,223,017,351,138,160,644,497,004,670,752,625,115,
691,494,490,464,275,105,204,920,538,113,468,139,243,471,359,081,344,897,377,
750,601,894,925,073,497,529,687,939,731,885,032,262,330,010,263,500,791,863,
486,980,075,618,472,359,275,689,791,352,915,220,938,756,293,237,932,428,436,
895,996,186,196,848,864,350,334,342,376,324,827,159,418,266,611,896,098,962,
760,361,214,415,022,194,079,099,591,922,456,688,272,075,789,719,956,953,005,
694,006,510,804,562,595,120,913,954,103,410,419,326,265,167,250,237,715,469,
051,737,111,739,181,435,130,897,846,223,157,012,556,928,156,547,533,828,253,
011,307,072,314,414,662,368,637,012,322,174,165,362,963,543,200,169,775,760,
387,900,061,534,390,363,303,506,696,211,224,756,969,783,077,433,954,690,331,
858,803,233,676,180,331,946,718,369,458,598,583,992,355,179,327,395,653,132,
369,154,194,703,922,170,522,779,432,807,479,261,836,708,729,350,232,803,709,
143,822,067,075,697,230,148,471,175,541,763,382,626,546,712,663,587,228,250,
644,878,801,787,796,446,352,321,079,186,589,719,192,291,914,940,374,312,970,
413,365,403,811,948,396,593,910,438,897,311,936,719,286,379,402,597,701,631,
629,875,836,256,393,015,285,645,416,199,079,600,940,802,395,326,011,905,264,
439,054,485,370,579,560,891,993,052,358,599,616,351,094,261,938,798,834,652,
453,280,019,667,750,613,741,232,200,055,477,625,866,993,883,186,537,422,316,
116,433,499,565,976,836,311,228,839,443,748,688,434,267,051,272,084,016,472,
806,741,414,214,209,379,420,026,052,010,454,976,678,691,189,108,503,512,931,
074,003,167,329,260,047,604,265,732,945,416,599,264,110,231,925,697,192,085,
367,169,973,804,314,093,722,462,602,536,960,396,131,943,256,456,221,501,628,
356,019,382,548,000,645,674,930,788,649,222,749,394,558,602,968,036,927,624,
975,162,650,685,996,393,086,691,174,680,284,962,672,904,678,177,096,966,771,
688,210,846,282,089,491,600,341,926,135,007,213,880,477,708,370,678,722,460,
412,889,324,548,389,780,315,117,936,378,832,202,858,648,557,554,752,944,407,
112,484,752,472,204,849,064,753,992,573,847,626,976,036,942,879,777,739,369,
671,162,828,676,383,505,209,009,100,547,019,819,781,109,039,152,951,462,211,
068,193,897,992,141,573,741,442,382,559,388,477,347,359,092,871,546,474,618,
199,390,296,979,042,599,433,046,345,103,769,191,653,787,750,046,537,458,311,
602,131,859,961,922,346,339,463,297,430,951,884,480,822,034,201,904,938,832,
765,879,387,868,230,049,949,807,750,491,918,519,319,659,831,362,111,688,071,
714,234,166,543,380,880,893,607,673,521,980,908,713,814,518,665,555,342,889,
729,513,795,165,356,387,699,466,311,278,390,719,057,154,338,633,939,805,366,
896,852,271,980,510,408,857,178,629,347,819,727,300,611,107,675,411,471,157,
012,897,839,136,300,299,276,278,095,463,631,828,248,405,030,814,765,246,886,
187,889,122,297,636,032,568,820,593,195,307,348,742,373,084,106,519,700,031,
489,767,953,434,773,356,188,572,966,268,799,481,848,500,391,566,128,501,092,
099,743,891,697,749,970,897,385,679,216,952,900,295,368,635,919,978,064,215,
524,700,127,050,042,714,333,277,631,349,703,214,761,768,084,055,305,488,540,
015,795,447,196,243,444,794,118,333,909,486,709,036,996,703,529,498,916,840,
455,303,466,159,958,200,198,163,680,296,228,613,498,688,302,682,096,884,773,
116,576,448,722,719,755,192,481,300,990,537,698,272,687,846,938,748,358,869,
645,653,511,376,177,429,756,790,667,944,325,697,656,165,979,568,983,793,151,
120,010,618,044,612,680,973,961,035,096,691,562,160,686,577,803,480,041,808,
464,902,218,315,711,697,690,172,296,368,081,803,556,707,970,106,082,341,061,
231,481,310,244,030,858,083,537,729,415,607,021,058,302,803,665,974,155,154,
407,978,924,556,305,913,110,718,657,680,083,744,527,491,310,225,499,296,801,
809,985,195,495,180,309,870,783,248,809,064,960,592,493,020,992,612,208,730,
881,063,241,745,410,737,456,465,651,039,915,460,766,920,943,166,312,736,497,
323,949,584,715,698,036,200,985,503,024,319,933,325,522,426,586,511,196,334,
910,930,528,399,737,131,597,558,875,853,134,160,751,790,996,072,844,168,592,
688,977,304,498,560,936,377,923,928,534,477,405,647,929,237,280,717,043,536,
699,850,903,061,550,744,582,426,154,322,270,819,811,055,826,850,237,325,162,
685,183,369,370,560,889,146,172,281,279,044,068,385,297,555,950,819,165,854,
863,351,734,937,230,917,361,393,190,533,264,619,242,657,378,073,427,320,288,
424,259,993,334,624,057,501,355,389,359,230,435,227,016,927,544,659,526,776,
830,607,090,565,479,470,916,218,145,661,960,052,380,472,557,915,411,159,508,
624,371,534,675,344,105,949,003,798,454,904,343,490,465,644,980,847,116,811,
633,648,484,106,953,660,678,035,846,874,730,598,695,911,934,915,512,521,957,
604,515,959,062,803,171,860,759,221,677,832,008,391,525,462,307,273,294,297,
203,525,763,079,489,453,778,358,686,988,906,207,988,156,042,115,802,164,705,
128,313,731,919,330,636,860,178,122,049,587,528,850,395,662,787,783,972,557,
194,452,136,784,571,524,310,108,408,440,983,273,295,145,870,955,321,973,348,
042,023,399,554,537,558,545,662,853,353,060,556,051,403,751,015,261,711,451,
215,458,571,509,366,701,402,784,605,864,089,979,697,519,277,525,875,146,326,
642,332,815,917,724,786,357,216,178,156,973,131,841,091,735,440,597,638,365,
797,365,304,251,132,821,499,051,441,675,915,540,541,257,650,838,040,015,457,
700,309,217,446,921,219,894,331,342,981,520,787,857,051,124,999,046,524,765,
349,041,219,351,486,637,804,255,257,890,069,624,981,250,596,352,298,091,612,
539,570,275,250,746,951,378,636,415,773,127,892,087,781,309,457,503,107,997,
434,355,715,850,875,970,170,319,524,269,514,661,245,300,739,362,166,553,338,
340,423,028,315,517,759,937,621,449,251,350,800,687,729,653,693,534,493,765,
174,014,557,779,330,330,154,832,771,579,922,644,364,494,477,701,093,076,583,
957,007,819,821,970,692,160,782,951,544,394,866,078,020,707,028,566,060,291,
456,630,714,374,867,100,318,982,069,041,420,490,016,471,179,513,357,207,024,
654,628,990,758,674,647,801,609,613,485,353,450,991,161,680,053,939,620,734,
324,912,769,963,321,927,344,036,413,751,499,795,094,618,145,094,279,780,794,
143,432,913,362,673,084,300,825,635,303,725,046,209,011,441,857,213,473,815,
009,310,532,720,954,220,942,303,683,944,390,263,243,396,456,879,857,457,244,
255,794,544,615,758,827,144,615,487,976,043,352,078,698,792,598,420,087,589,
017,071,491,102,678,488,555,526,960,526,009,050,655,795,339,204,698,902,540,
671,211,134,474,308,407,420,125,224,291,432,304,922,289,736,455,988,509,039,
180,866,553,386,223,166,248,655,474,666,018,570,824,218,238,888,147,269,041,
282,673,391,109,292,684,302,373,332,847,114,016,260,461,963,011,193,924,172,
621,458,715,005,470,499,174,929,755,439,203,984,170,991,375,927,068,607,009,
200,771,487,597,020,640,886,310,245,444,414,084,973,095,740,553,571,520,289,
323,339,610,050,970,124,309,566,304,734,994,866,226,621,071,669,778,616,817,
770,207,815,719,368,617,784,029,068,035,792,203,787,993,786,222,329,856,412,
190,779,208,182,037,384,008,110,442,309,387,628,652,125,552,389,389,017,486,
951,639,674,383,148,615,368,418,549,484,437,660,881,931,123,891,660,462,398,
574,937,655,961,565,553,023,640,061,714,111,160,091,156,862,557,887,538,486,
421,405,681,930,946,451,133,200,277,197,676,217,730,563,228,199,159,573,057,
452,587,793,914,276,229,617,278,521,398,597,811,614,035,340,214,932,239,615,
935,532,527,517,548,552,451,134,605,379,600,397,219,687,084,116,303,978,500,
498,685,806,624,990,130,596,828,028,461,842,403,512,617,673,455,821,892,434,
453,903,096,171,282,983,348,671,116,181,090,803,884,708,523,590,241,771,313,
071,169,870,633,743,401,944,622,635,827,692,776,105,826,975,911,613,915,356,
440,356,341,346,743,938,036,524,869,601,274,777,877,356,796,410,040,132,326,
993,447,872,086,041,374,586,320,925,709,294,820,002,854,600,067,317,641,698,
404,548,627,510,031,023,512,907,016,006,964,955,063,616,636,806,890,369,785,
492,823,267,481,482,242,351,782,730,675,000,457,117,350,785,037,752,010,122,
826,575,723,878,537,726,944,180,008,760,816,619,561,925,854,853,378,538,755,
538,650,312,193,814,980,965,504,631,031,532,266,475,746,761,203,583,041,273,
352,448,619,907,595,739,177,818,313,542,919,845,704,522,005,593,206,994,708,
073,484,951,567,267,455,933,866,788,819,526,691,543,337,003,033,540,607,966,
304,216,996,651,464,279,346,540,801,396,428,760,009,224,016,195,018,178,814,
117,326,476,005,767,352,718,283,847,185,183,174,016,704,647,911,760,839,518,
027,299,874,956,509,326,566,756,783,037,388,598,405,370,877,978,602,076,731,
995,411,226,126,545,275,509,729,648,546,955,698,565,909,888,969,671,567,649,
270,308,666,254,941,767,431,012,705,596,182,301,470,611,590,261,615,104,396,
780,568,538,020,510,091,304,096,311,817,212,074,801,527,546,346,492,853,089,
680,730,764,237,280,099,192,325,612,332,559,213,695,007,247,317,378,235,897,
407,363,449,743,973,620,550,308,074,463,969,913,743,811,476,270,471,478,513,
705,817,735,466,185,756,446,321,725,856,698,151,619,958,897,175,285,828,454,
081,738,581,711,774,792,838,274,684,925,205,967,093,740,704,148,895,861,494,
774,584,630,324,389,588,669,619,558,079,627,923,376,750,948,239,273,045,283,
919,310,817,894,101,443,703,319,745,632,049,986,596,588,916,205,776,697,791,
749,520,454,405,013,117,910,611,702,051,561,990,762,221,245,709,294,407,375,
676,067,637,199,843,429,947,190,140,052,399,374,990,591,316,069,914,343,402,
611,731,639,081,929,425,751,110,703,861,897,451,167,477,781,717,195,011,881,
795,260,863,724,655,706,111,390,836,356,538,253,194,824,235,468,260,208,410,
747,272,844,733,674,811,868,375,971,654,318,591,383,115,319,968,463,207,516,
198,387,244,243,044,181,111,428,685,260,765,720,786,660,682,341,818,636,746,
996,638,439,848,401,758,255,518,354,147,100,982,559,869,960,641,892,460,187,
147,047,200,429,698,258,711,660,707,899,939,151,177,243,477,511,120,291,082,
198,905,138,382,102,598,756,800,264,200,603,468,634,497,150,919,008,169,260,
492,373,732,351,909,116,056,760,131,768,822,954,133,099,443,267,687,045,947,
250,165,909,813,744,382,783,328,058,938,604,046,523,900,064,746,826,881,943,
646,699,217,740,904,803,385,167,259,896,888,988,850,612,939,850,874,055,775,
958,305,941,990,020,827,542,468,438,548,961,132,996,746,331,112,737,517,283,
244,504,727,703,776,299,936,496,397,158,562,672,687,746,044,767,761,225,720,
934,898,143,399,106,411,174,339,437,906,359,810,972,034,420,789,275,012,784,
704,783,019,906,859,272,508,703,686,579,352,590,008,200,391,823,393,281,769,
826,616,470,973,415,342,575,062,657,044,425,700,102,118,728,288,727,818,792,
060,257,840,902,534,161,812,404,286,924,618,513,261,679,250,835,680,104,093,
377,636,961,196,927,142,444,183,639,014,159,013,236,290,757,777,628,466,540,
689,778,031,893,809,178,333,956,089,985,560,909,662,988,097,999,555,895,378,
818,551,846,072,817,525,010,263,818,876,919,921,547,939,810,702,775,854,240,
954,887,337,132,246,980,985,471,466,171,559,774,088,678,354,306,658,598,253,
695,715,178,338,231,989,691,240,734,406,259,318,760,513,983,574,218,387,442,
668,569,291,001,280,399,912,641,340,799,602,180,850,805,108,865,262,542,483,
554,458,049,162,367,621,856,237,473,122,493,359,771,219,170,880,494,321,491,
954,281,952,972,878,950,163,517,279,661,654,575,415,091,144,400,872,524,931,
638,668,634,258,269,498,471,126,202,773,638,543,682,066,312,992,612,964,490,
067,837,901,685,053,743,354,476,129,270,501,704,168,705,416,058,883,259,756,
797,669,758,398,013,811,232,867,909,878,656,484,571,628,602,258,512,883,984,
107,891,442,582,387,746,956,672,995,073,730,648,372,163,243,450,123,714,578,
517,592,060,259,815,829,518,325,397,291,102,467,616,234,040,791,196,849,601,
487,289,844,914,773,162,494,533,586,552,311,460,619,379,235,458,952,006,857,
893,997,340,164,456,297,978,123,826,585,369,592,472,827,923,193,063,666,287,
695,738,389,291,976,978,417,787,375,478,325,406,835,973,904,741,538,034,394,
812,226,266,109,265,989,759,973,929,029,214,137,282,599,096,306,413,444,353,
129,269,056,540,422,768,107,552,368,960,999,755,469,071,157,853,859,373,838,
787,402,244,624,505,456,834,466,969,066,972,871,690,655,394,113,650,330,605,
695,074,088,614,454,538,490,115,447,704,410,013,309,900,921,962,007,564,579,
034,246,443,374,821,462,742,425,617,110,320,949,401,752,563,132,517,501,917,
003,719,739,013,539,335,199,383,427,659,637,285,317,064,650,321,389,853,123,
584,205,366,676,258,624,031,852,523,698,964,158,629,221,253,502,019,706,090,
020,526,179,129,842,338,212,839,381,574,784,733,994,121,575,898,087,966,069,
218,841,927,626,094,955,660,554,842,101,449,704,004,091,175,240,054,691,674,
429,689,276,664,860,122,606,790,398,070,524,905,286,633,774,141,048,207,608,
903,767,401,018,775,875,136,270,625,198,248,744,092,578,626,321,988,584,948,
276,660,631,608,743,572,815,008,880,259,276,126,704,406,669,814,929,762,421,
569,595,963,807,955,485,841,761,319,530,151,985,244,943,113,473,737,647,572,
691,593,971,410,946,158,066,038,065,931,579,932,297,118,722,797,540,668,614,
835,946,714,371,543,204,051,119,988,684,264,929,543,626,802,947,715,197,686,
743,013,020,043,109,280,741,189,994,231,475,773,426,964,605,135,528,700,688,
116,997,521,463,837,891,834,635,263,684,793,826,279,557,523,452,030,604,096,
324,372,306,313,252,248,120,591,904,895,649,951,635,793,925,541,620,010,604,
084,572,312,222,426,246,041,147,673,643,307,609,337,275,770,031,237,266,487,
044,224,396,641,030,034,832,783,798,385,568,828,372,986,889,859,505,441,677,
651,142,865,269,688,308,725,920,657,837,337,866,078,722,774,871,244,403,695,
776,714,568,008,716,197,759,794,195,860,979,404,376,314,607,367,265,059,239,
235,833,940,411,705,010,199,551,918,941,177,679,158,999,266,724,662,089,742,
755,166,459,139,810,051,526,176,028,639,489,816,033,064,441,462,020,451,427,
771,287,290,506,041,560,728,489,872,335,004,803,829,180,063,469,433,125,856,
536,000,969,177,592,613,814,156,902,923,736,081,231,798,099,865,677,129,540,
043,828,325,091,384,174,714,184,787,848,641,304,783,638,002,116,111,231,254,
816,011,888,792,547,295,891,849,021,238,077,766,374,451,149,837,960,242,545,
101,516,876,843,776,300,980,531,914,288,915,864,905,630,010,131,903,083,085,
640,651,621,066,423,990,933,026,687,920,924,154,058,633,725,206,551,746,026,
555,007,989,907,583,358,289,502,824,190,012,161,031,709,874,085,205,129,242,
826,313,228,935,461,081,969,368,710,018,241,232,305,751,272,494,902,042,353,
368,404,060,085,702,323,590,449,718,143,442,946,465,870,224,080,553,274,062,
054,605,517,023,340,935,787,899,202,995,485,361,440,071,071,303,988,909,330,
458,901,518,692,185,275,543,968,828,157,728,990,621,560,092,225,384,552,606,
583,075,000,057,184,531,024,105,292,689,717,693,405,082,842,456,940,267,464,
821,365,037,877,741,034,111,886,822,528,365,519,994,624,052,776,306,018,412,
495,536,568,595,919,021,065,607,978,678,199,317,706,990,576,677,935,237,929,
998,720,290,442,200,840,071,891,794,539,446,550,260,976,547,616,528,342,162,
441,756,908,564,987,292,678,395,552,736,658,041,719,297,689,694,006,337,083,
732,245,602,663,771,892,444,080,018,749,271,509,188,843,813,833,700,297,784,
121,420,354,651,620,375,117,200,310,574,169,596,152,735,926,934,502,371,756,
262,185,922,638,809,319,824,936,866,488,707,381,411,008,494,791,429,418,803,
360,599,246,853,922,745,271,145,373,615,915,700,511,127,244,725,589,234,103,
258,632,761,807,696,103,766,884,569,256,891,618,135,461,644,945,663,362,971,
110,602,853,835,950,561,001,814,278,698,823,061,358,359,977,761,806,989,027,
586,380,949,280,969,317,361,899,510,818,614,645,743,709,475,733,306,278,983,
689,387,768,379,569,364,533,404,221,686,353,681,563,268,087,979,294,782,398,
979,976,351,795,819,614,706,209,685,221,280,476,299,856,766,649,405,476,135,
825,004,003,386,808,672,085,508,207,379,750,991,376,681,165,263,401,405,860,
268,981,098,763,697,605,297,259,194,185,825,613,445,691,917,724,148,667,330,
199,002,028,854,883,995,881,699,555,771,098,657,339,314,857,332,246,120,291,
108,828,542,648,485,251,055,994,119,556,964,585,777,317,368,203,569,412,630,
286,389,114,485,971,956,231,400,873,875,709,190,794,568,755,319,935,935,413,
503,888,484,251,391,015,913,211,306,025,290,545,774,643,696,900,712,598,822,
359,474,656,207,851,358,540,561,558,747,808,255,707,803,958,361,695,364,109,
203,955,930,190,526,503,764,143,880,606,649,697,522,145,950,506,553,511,302,
339,870,948,948,865,172,804,372,748,616,950,217,391,882,613,659,150,233,170,
731,090,481,353,764,306,661,072,814,369,643,946,085,998,532,235,618,621,007,
966,837,715,925,534,659,686,058,542,684,018,626,040,922,706,199,805,521,406,
934,484,052,716,824,457,319,806,907,967,868,741,836,224,353,122,553,153,494,
201,755,696,028,460,412,438,907,367,230,361,156,196,837,775,898,081,562,193,
323,328,798,683,276,806,195,499,903,993,131,996,242,078,665,604,488,632,970,
822,436,732,327,267,281,166,824,194,710,924,475,385,889,877,440,032,682,066,
610,460,058,046,246,106,270,367,806,503,014,228,232,392,882,217,056,700,829,
238,289,699,531,361,387,704,437,513,627,724,789,772,164,554,384,194,636,867,
778,609,894,109,542,084,441,873,720,270,241,810,823,015,839,816,068,504,254,
395,977,246,904,973,252,428,314,528,438,949,914,929,265,855,514,851,308,504,
771,072,521,566,583,062,019,175,418,547,506,258,813,273,816,354,827,588,192,
557,201,958,402,741,679,740,607,944,517,696,376,428,975,604,741,712,730,341,
981,196,942,967,796,799,428,469,431,466,393,791,545,537,795,651,332,765,889,
902,089,034,535,262,415,558,893,279,729,275,873,345,218,531,330,117,829,219,
493,287,840,495,292,866,773,954,136,947,610,988,131,575,326,465,204,500,240,
084,658,659,991,054,814,656,304,644,971,858,478,706,024,587,433,297,111,304,
490,391,951,604,501,512,909,646,283,158,269,971,542,797,686,803,891,761,679,
490,335,626,105,690,131,744,395,385,216,701,521,405,864,557,186,012,003,459,
381,082,275,320,931,178,044,773,864,636,534,236,138,207,031,497,369,954,225,
846,765,179,373,987,774,885,873,731,224,483,767,608,768,644,494,536,494,695,
918,479,709,760,571,920,352,267,678,346,621,734,999,321,654,416,268,555,880,
754,339,265,718,134,841,839,382,460,580,429,441,656,585,899,261,533,430,040,
257,812,521,905,279,336,271,080,442,677,165,476,320,912,569,631,080,593,331,
883,901,459,379,634,311,387,072,282,224,925,676,705,044,834,934,754,564,563,
000,244,953,747,202,430,586,714,934,957,148,444,910,248,151,929,309,793,057,
999,211,648,093,172,300,679,691,872,240,108,013,247,315,328,727,486,679,618,
748,729,023,158,686,670,234,652,616,905,759,322,693,910,042,212,186,016,962,
928,039,389,918,817,641,766,805,662,270,479,426,805,923,319,233,871,032,409,
968,019,622,815,469,869,165,786,205,674,014,614,766,087,507,103,465,986,169,
807,154,040,557,537,560,355,884,832,367,696,795,576,644,233,914,455,488,712,
440,058,011,580,096,885,641,673,346,063,664,742,703,515,398,662,291,376,692,
162,700,547,010,295,557,145,235,669,172,156,975,611,847,867,117,192,304,042,
683,139,390,121,529,399,658,519,551,726,533,048,555,343,288,001,482,137,507,
304,851,693,675,361,366,649,122,631,075,812,478,986,613,096,746,542,167,247,
175,325,536,403,679,783,240,856,536,847,008,928,883,777,072,202,428,303,562,
669,328,482,562,701,879,836,938,122,359,894,929,409,337,814,389,601,607,370,
056,377,942,653,755,676,838,659,441,480,892,779,138,032,599,260,718,217,384,
501,348,671,603,035,834,706,694,429,409,460,388,357,422,999,667,192,609,453,
484,245,206,379,926,098,938,046,274,057,931,032,839,155,214,628,288,534,476,
471,443,910,774,908,680,067,521,824,609,165,752,293,985,527,063,906,773,699,
915,180,116,841,197,481,008,624,672,762,578,602,479,585,688,269,380,657,304,
038,325,787,050,395,500,569,789,963,568,785,161,082,932,424,665,586,054,685,
604,116,270,027,529,992,928,689,893,634,277,277,476,510,216,527,814,215,763,
254,450,467,583,792,437,896,768,539,437,728,476,904,641,211,085,154,504,519,
477,588,467,375,933,036,094,441,599,732,158,489,557,487,876,379,209,587,276,
022,324,219,222,838,067,108,347,924,974,206,149,188,437,556,211,993,770,033,
240,543,445,320,904,063,893,020,617,841,494,813,814,439,978,593,597,914,753,
969,113,092,225,061,576,420,410,842,302,823,251,715,556,402,525,429,181,153,
679,109,895,663,453,340,193,422,080,472,389,022,726,591,129,456,534,670,318,
349,375,328,349,714,596,927,962,997,243,527,823,748,956,479,900,141,574,545,
338,529,715,679,236,590,905,722,102,922,351,130,737,423,743,254,513,028,632,
653,624,002,657,873,348,676,794,394,672,253,610,463,413,962,900,567,677,370,
422,433,240,257,404,193,692,325,003,665,060,087,435,426,581,178,565,834,736,
000,773,286,070,301,561,817,965,001,724,093,580,787,407,656,218,462,905,587,
767,226,709,003,977,859,912,926,914,220,156,621,485,614,712,152,457,412,585,
684,362,368,126,315,768,199,409,496,053,462,741,315,707,857,992,411,705,244,
120,491,068,622,549,033,910,539,286,760,078,942,117,000,955,581,433,067,200,
014,506,402,867,910,878,799,055,783,786,868,657,839,081,136,324,105,235,706,
846,905,579,919,753,369,740,964,682,616,445,104,009,154,991,406,110,776,359,
557,925,081,182,592,216,380,626,521,572,059,418,021,405,093,810,418,852,463,
516,631,957,793,929,745,549,240,767,233,124,541,999,835,990,144,683,781,454,
920,042,508,280,275,491,972,604,496,476,949,725,976,851,415,610,083,665,655,
704,281,481,430,522,563,283,911,861,563,969,808,073,727,548,386,845,662,073,
595,425,617,490,639,006,485,718,353,031,481,951,827,156,037,008,511,027,123,
411,395,751,951,339,996,550,303,694,168,218,989,126,799,590,649,711,573,803,
831,814,070,942,597,607,239,590,961,184,752,906,430,316,965,760,847,956,733,
878,989,347,976,554,417,267,206,187,382,367,903,354,700,248,148,731,483,528,
188,384,821,084,571,389,349,001,287,925,708,293,744,839,636,592,060,918,075,
302,557,241,212,134,307,000,271,371,281,513,524,179,860,198,444,601,256,396,
706,762,946,605,316,464,852,697,485,801,904,472,634,517,469,095,302,170,847,
883,613,096,669,005,986,090,603,879,118,180,012,427,336,501,054,947,035,184,
403,223,236,972,264,960,312,812,824,550,988,635,109,849,143,947,316,331,189,
170,936,413,469,832,277,242,708,743,708,374,903,975,991,768,787,502,019,843,
638,439,563,068,208,626,311,368,708,981,240,389,723,932,706,023,790,449,699,
445,391,586,002,398,855,498,863,779,242,028,552,935,810,001,593,332,551,892,
873,435,209,124,617,967,614,195,844,072,079,394,420,576,118,746,418,204,277,
739,590,995,043,526,221,629,170,266,318,238,128,065,098,618,551,022,275,730,
160,462,211,158,336,982,854,930,122,850,518,035,102,064,987,573,136,910,873,
721,836,881,540,857,401,527,339,323,883,327,825,388,444,857,322,813,856,819,
120,875,924,292,038,239,910,580,851,423,647,106,467,766,662,962,821,095,203,
002,386,427,314,025,717,531,989,809,512,475,159,822,333,725,375,126,788,954,
593,957,095,431,716,138,533,047,756,714,454,858,277,144,880,247,478,619,657,
219,597,134,503,412,544,352,300,991,609,121,704,628,044,830,682,891,061,730,
385,450,513,359,938,796,061,311,916,522,455,513,524,170,972,085,012,228,985,
405,698,008,478,831,496,564,824,584,479,331,092,396,675,182,906,239,694,598,
145,900,671,987,129,469,679,341,069,703,616,381,313,391,953,406,353,625,452,
672,577,738,788,179,237,221,253,274,514,682,646,261,371,102,579,599,770,957,
450,777,939,220,689,894,966,955,846,261,234,237,118,711,025,641,532,591,978,
378,853,533,662,013,629,958,931,261,332,851,021,537,825,882,746,389,365,397,
244,056,866,768,285,274,217,817,413,500,635,866,601,765,626,051,787,237,495,
264,482,596,322,109,337,682,602,044,212,092,098,047,927,068,198,958,476,642,
592,202,123,135,261,475,716,127,164,607,516,398,194,413,465,353,116,827,482,
686,852,934,613,086,562,366,581,206,250,793,364,614,603,798,569,194,073,413,
368,164,923,216,748,199,052,384,598,309,710,562,367,010,620,744,883,267,698,
961,509,194,718,499,130,081,288,829,884,145,063,812,764,754,154,708,072,798,
441,336,690,166,555,969,900,745,439,903,842,824,323,622,253,548,766,693,223,
552,549,933,576,162,555,508,714,869,513,864,809,304,414,933,289,039,047,657,
879,992,855,575,632,290,936,650,359,786,187,671,605,910,762,772,769,654,879,
870,702,504,813,088,159,463,523,462,348,419,328,851,144,333,998,661,916,011,
228,153,574,921,201,813,393,771,883,431,761,717,979,019,212,089,657,133,782,
772,130,348,583,509,537,317,991,928,742,797,520,298,539,956,238,229,541,642,
876,452,049,378,864,685,347,554,181,187,894,971,391,468,904,931,964,099,292,
006,517,355,782,672,996,565,094,571,884,504,599,534,334,275,230,695,100,898,
280,216,444,180,651,404,047,638,185,762,029,463,779,525,444,976,060,704,021,
177,687,151,240,449,962,148,622,629,659,657,861,842,231,554,205,041,868,586,
344,961,100,104,838,672,214,195,262,271,071,423,019,176,218,427,212,457,015,
020,808,564,407,463,026,743,141,398,927,652,808,187,506,763,052,064,804,945,
880,974,019,437,624,536,192,205,058,400,676,736,233,685,040,060,485,860,107,
711,477,166,232,271,431,556,591,136,813,668,317,686,431,843,858,919,340,406,
536,147,691,529,075,060,157,469,690,783,092,430,379,104,436,013,901,671,687,
414,608,640,346,356,739,643,221,728,435,083,004,214,689,907,610,392,362,135,
629,667,786,197,019,057,486,947,262,543,165,199,753,818,453,771,347,123,254,
718,040,956,803,505,804,154,417,282,262,078,237,275,114,407,316,317,988,764,
890,606,632,852,594,810,863,221,205,861,948,129,511,982,970,118,057,699,064,
985,706,564,694,572,757,550,800,364,815,024,370,383,596,234,359,726,262,537,
559,223,570,674,647,379,279,156,469,974,144,807,467,813,183,193,891,218,706,
232,338,051,669,070,305,555,657,303,229,148,924,070,184,816,964,404,285,829,
113,285,443,763,668,735,192,617,179,066,574,566,605,777,839,382,417,639,407,
406,758,766,410,227,900,334,693,052,327,926,473,499,187,468,068,130,845,359,
364,664,182,478,963,026,646,707,892,901,012,629,966,979,642,358,855,372,332,
655,041,412,233,349,228,608,788,379,742,774,157,697,211,342,190,671,658,853,
823,465,161,654,985,856,233,017,567,644,229,927,813,480,363,581,717,482,440,
990,203,512,788,565,582,525,204,832,850,700,270,046,639,136,862,499,600,952,
322,121,636,705,797,316,541,685,813,570,855,776,942,539,929,980,943,325,501,
693,867,218,046,363,561,867,181,974,082,123,294,061,029,258,149,651,456,735,
241,627,255,763,243,674,702,363,501,619,653,622,340,611,173,733,514,945,922,
624,780,342,691,388,386,059,234,746,360,835,972,447,682,320,793,037,416,005,
627,860,696,666,072,197,275,540,493,336,056,406,247,707,193,096,803,068,393,
307,524,359,847,034,096,301,725,918,431,716,822,088,953,407,625,427,657,385,
302,740,995,301,304,411,280,414,045,927,977,416,523,435,436,241,407,481,877,
182,288,967,088,787,534,717,606,724,394,352,003,993,342,945,120,353,240,671,
912,431,020,623,763,327,512,265,166,753,098,598,007,404,744,941,453,537,138,
884,296,114,158,637,714,080,458,837,285,295,781,194,410,631,954,873,314,838,
332,425,601,202,159,396,572,398,698,651,922,700,985,007,354,877,440,060,405,
489,670,458,624,773,146,579,818,894,203,881,224,552,373,017,657,462,798,698,
058,180,379,027,904,570,986,672,967,434,777,541,464,262,613,185,663,476,074,
483,087,651,120,099,575,647,515,967,563,929,540,893,942,032,919,240,765,286,
603,383,688,297,237,824,368,019,311,563,350,893,808,122,484,903,356,212,432,
877,866,692,162,333,962,170,942,914,221,157,449,816,017,387,861,368,528,050,
255,556,612,300,628,811,717,359,066,826,017,481,844,055,582,915,962,335,506,
045,519,259,547,511,487,210,342,291,875,637,452,688,825,291,760,014,020,011,
182,119,738,632,168,498,120,934,021,107,213,493,790,833,307,889,268,318,771,
932,299,463,864,515,113,133,777,480,216,760,610,796,875,836,149,139,160,202,
741,626,145,058,049,303,721,563,786,106,561,880,994,260,537,461,494,480,173,
240,752,378,737,487,927,776,041,489,473,794,872,946,881,185,965,135,285,052,
395,205,817,335,911,759,274,961,772,402,407,980,966,269,287,648,301,265,708,
896,892,394,960,979,019,844,463,683,114,165,018,184,952,285,804,257,407,500,
172,768,636,047,683,727,006,575,535,480,456,017,209,943,926,457,434,825,153,
319,687,633,758,519,635,373,427,605,528,554,347,373,697,679,750,092,663,903,
528,080,880,724,114,385,048,468,851,553,830,342,687,234,720,006,319,021,129,
837,652,477,316,753,353,093,446,196,485,250,667,011,113,767,129,971,489,108,
142,681,351,067,163,640,586,196,214,812,725,834,127,217,741,806,025,025,045,
546,576,576,121,490,777,099,320,492,421,676,148,067,024,323,440,406,262,549,
053,829,671,297,000,216,338,744,179,692,577,486,834,898,481,678,531,578,311,
213,919,955,409,646,423,509,395,108,274,991,346,126,952,602,822,437,899,664,
508,791,183,781,419,473,732,203,378,822,041,795,576,723,829,283,540,998,229,
304,721,777,098,886,822,547,046,972,827,740,234,447,462,447,575,534,044,752,
729,030,520,868,466,769,488,839,190,538,331,294,093,704,643,542,343,560,789,
381,938,706,457,728,553,608,963,254,334,436,514,232,591,044,195,699,850,407,
870,817,748,262,299,795,290,067,925,125,677,602,909,840,929,844,868,226,577,
499,278,370,027,550,626,401,943,900,041,363,424,162,949,244,292,299,327,143,
938,905,348,686,439,792,666,410,821,353,981,108,381,764,251,454,805,586,548,
130,523,284,974,490,263,793,890,942,285,826,035,814,070,532,125,389,556,085,
770,066,481,734,552,904,592,175,458,834,423,111,042,218,654,105,812,984,956,
833,132,299,872,926,148,079,460,064,838,521,918,381,128,894,333,885,803,293,
421,337,508,898,535,614,915,837,501,444,352,484,912,059,857,869,519,597,657,
581,862,253,717,708,070,559,305,204,828,809,119,260,923,631,608,800,056,334,
113,017,552,807,662,592,375,520,387,648,363,040,648,883,817,096,150,445,952,
255,574,496,473,921,566,981,187,522,873,014,691,199,249,355,649,816,359,248,
496,961,071,495,564,748,476,854,319,928,652,324,408,541,960,415,624,783,600,
939,381,538,912,520,816,034,219,388,568,995,055,971,991,119,684,525,713,744,
901,915,041,640,038,466,410,782,483,650,657,922,851,438,897,750,931,824,690,
917,126,007,807,174,309,896,630,044,087,924,724,639,985,982,568,719,706,765,
772,591,366,199,144,991,876,598,757,337,285,708,068,854,965,993,349,041,532,
965,652,666,330,255,055,361,558,181,014,604,990,405,460,196,117,481,010,267,
051,987,365,164,595,313,902,567,435,954,633,942,977,066,313,925,505,553,087,
189,892,808,806,875,029,530,661,918,712,967,519,923,955,069,370,723,527,845,
109,629,719,119,692,826,058,250,245,485,297,071,317,489,173,057,546,685,861,
287,293,340,878,881,047,455,377,487,740,649,494,532,875,494,029,483,491,529,
529,856,349,177,846,038,662,272,580,863,555,138,852,040,051,593,061,825,303,
271,511,378,181,807,576,657,473,457,087,565,193,188,358,752,666,508,609,110,
012,275,365,795,228,086,091,962,613,092,475,966,954,452,613,726,069,342,008,
310,387,663,089,673,307,272,042,687,536,416,802,167,344,272,046,841,731,681,
555,290,216,567,073,515,903,089,192,642,068,606,291,223,188,586,805,108,543,
088,297,423,494,936,969,053,480,550,026,202,252,263,965,784,700,148,176,734,
047,924,968,345,743,411,857,083,169,119,727,832,885,257,054,816,880,449,183,
933,260,290,683,342,837,402,256,665,540,102,464,650,884,000,735,155,025,761,
805,232,433,665,307,410,314,189,340,257,332,788,297,173,290,412,735,054,768,
485,148,374,262,877,324,742,602,224,843,063,880,542,179,394,793,626,639,357,
212,848,482,397,838,885,351,363,425,068,514,321,018,726,146,457,288,992,431,
068,055,982,209,949,471,907,489,351,964,135,299,857,004,652,458,790,892,124,
152,483,557,438,223,245,687,239,554,648,335,740,005,514,513,985,655,028,594,
803,733,335,841,722,532,764,829,263,602,982,929,878,409,808,251,274,116,831,
662,051,822,784,039,438,910,383,987,922,645,804,422,189,015,279,926,285,627,
775,572,150,210,986,270,827,380,406,828,346,802,106,197,226,492,143,430,383,
081,315,929,656,159,658,480,190,538,461,206,048,104,146,052,809,779,786,481,
380,542,765,336,404,330,391,559,267,406,517,167,255,923,553,605,367,027,623,
162,649,603,691,189,409,159,165,685,579,019,595,160,040,594,767,956,441,106,
564,001,499,594,675,580,577,118,399,655,759,244,747,763,348,667,268,483,701,
012,612,708,570,743,375,476,618,194,381,723,670,897,928,516,709,401,922,860,
172,523,192,674,658,984,190,446,861,623,738,407,200,332,123,504,404,717,856,
947,588,953,080,509,934,381,058,676,544,094,262,236,886,099,255,316,012,448,
484,290,470,805,175,585,938,700,578,245,674,657,941,143,422,953,910,758,898,
432,268,445,508,863,988,595,325,701,624,435,811,431,579,931,768,719,449,638,
622,693,090,655,866,052,162,367,161,926,461,601,087,716,871,621,867,278,806,
579,740,081,273,607,471,676,905,048,566,570,599,487,363,416,507,866,189,772,
103,023,920,208,729,863,213,091,709,522,285,703,993,627,410,892,816,665,260,
591,657,983,745,989,329,815,834,716,289,733,112,347,173,204,374,997,551,528,
271,809,574,893,312,960,433,406,010,813,345,135,814,566,227,175,221,717,721,
579,283,082,092,949,951,066,258,061,670,890,975,769,352,101,213,630,472,913,
191,236,565,150,161,795,866,906,126,458,046,105,147,378,022,839,569,009,036,
600,049,695,994,031,084,053,024,049,746,300,173,462,761,334,030,686,356,802,
087,279,911,245,726,498,614,910,247,080,252,123,269,645,947,026,275,449,904,
876,876,458,530,989,661,955,773,625,015,445,069,724,656,827,994,468,026,480,
717,275,839,328,234,946,429,396,589,318,366,289,442,716,734,609,779,694,214,
603,937,396,703,572,183,056,527,338,984,325,895,046,808,692,129,229,370,224,
311,505,486,412,472,099,254,515,249,365,343,660,294,534,242,800,436,153,939,
799,091,980,853,945,280,775,434,458,501,644,008,632,659,207,775,220,767,331,
846,472,826,342,268,349,305,203,179,855,197,223,547,251,993,266,875,473,308,
110,427,842,569,425,862,351,851,801,302,146,396,338,230,651,386,090,028,234,
777,030,456,189,041,588,690,344,302,124,822,008,655,041,363,011,134,302,137,
017,563,409,829,394,440,302,400,535,457,913,579,832,999,215,752,313,551,646,
380,731,839,409,198,101,253,161,990,633,395,645,031,974,521,321,698,003,282,
477,867,240,757,923,861,532,718,154,375,495,122,959,701,009,516,538,197,364,
287,029,788,318,353,334,164,746,745,334,023,961,448,046,326,371,191,641,433,
540,347,823,402,016,333,864,810,258,472,325,184,585,213,653,856,926,746,098,
936,127,747,581,421,707,418,870,759,367,044,441,036,145,826,450,857,191,503,
589,414,981,575,862,351,730,865,265,688,728,105,746,268,176,638,324,403,058,
293,715,017,765,262,662,068,877,043,620,532,278,708,459,242,665,305,214,428,
147,080,673,925,957,802,781,358,954,840,712,622,210,456,391,823,763,033,739,
608,341,664,499,454,251,983,039,826,010,807,193,634,492,456,536,214,758,286,
277,740,311,676,772,101,331,655,745,401,608,558,492,379,425,326,900,781,252,
281,766,960,404,112,839,812,465,407,872,934,045,990,129,390,520,454,751,717,
442,728,448,435,679,680,969,413,875,533,695,387,437,542,511,461,315,269,569,
241,801,251,320,062,463,311,974,311,860,881,093,283,799,783,636,173,155,080,
597,996,459,384,237,424,174,886,518,742,214,440,612,683,801,722,192,471,219,
565,370,564,900,479,377,903,803,733,355,116,225,153,309,698,550,461,521,093,
739,926,885,585,903,600,571,647,529,963,023,183,750,495,588,253,424,151,477,
072,384,429,057,066,596,393,802,736,855,108,339,635,399,631,424,844,078,647,
755,344,846,940,737,517,649,691,020,085,563,611,949,746,486,380,128,461,362,
897,918,848,298,112,297,799,722,274,130,533,920,544,624,240,754,780,963,596,
186,000,208,439,152,561,784,630,783,095,923,995,291,045,250,102,552,966,849,
955,025,589,179,373,705,671,677,972,133,412,068,699,985,331,137,505,147,318,
002,846,900,060,676,920,982,051,366,750,237,834,641,185,394,785,844,790,522,
872,106,938,916,534,919,259,743,980,432,335,694,854,570,176,437,928,854,723,
951,924,375,766,755,795,138,300,340,510,347,733,270,838,345,549,029,694,635,
785,720,349,080,023,895,351,529,507,453,585,739,084,439,085,726,053,090,564,
397,076,525,233,133,337,814,802,664,226,605,464,809,108,496,311,547,722,736,
914,599,614,006,701,244,551,660,915,003,496,062,331,582,119,310,084,764,248,
883,520,821,930,900,060,211,236,552,650,896,529,843,874,941,745,293,086,113,
793,625,429,658,409,431,606,567,605,391,899,770,269,387,214,133,477,923,205,
497,939,506,454,553,034,964,739,700,052,089,905,865,562,265,777,134,760,665,
039,284,114,560,825,500,381,492,091,029,055,024,938,515,596,252,606,962,226,
022,946,637,377,351,249,809,607,559,701,851,293,636,918,463,985,027,844,472,
656,560,270,132,601,942,616,777,624,387,594,483,908,117,543,269,546,529,898,
862,951,918,936,279,530,767,018,887,996,754,013,400,335,713,643,986,783,837,
748,261,737,737,675,289,664,985,770,876,689,094,597,971,709,417,819,221,675,
714,509,571,216,355,334,715,175,366,521,269,474,505,575,375,228,810,342,645,
259,873,525,734,991,417,471,370,489,214,812,605,092,605,091,981,201,956,345,
704,197,643,332,394,792,442,465,696,559,136,056,129,117,414,466,755,397,628,
251,669,321,150,429,168,049,868,437,996,601,909,915,794,808,193,047,283,638,
005,741,358,314,239,884,118,557,335,062,538,881,872,442,914,277,956,632,543,
491,409,787,110,211,457,575,505,039,847,782,361,557,115,694,904,484,074,700,
894,768,183,739,654,233,105,768,877,547,158,356,558,467,689,697,343,956,050,
843,647,504,125,515,006,501,186,832,942,058,936,957,796,221,915,011,253,780,
100,991,201,245,055,875,219,773,759,377,952,547,525,405,934,240,608,952,509,
482,828,384,212,291,450,196,106,145,674,471,362,862,457,704,501,740,029,599,
682,294,239,865,862,082,310,497,879,951,833,222,856,355,996,346,612,447,911,
619,334,588,532,894,354,807,968,861,341,379,386,929,518,576,126,976,011,675,
493,913,986,222,533,837,020,650,674,263,182,370,748,401,209,250,286,590,601,
568,334,330,891,762,718,330,517,604,713,611,253,659,401,704,000,760,077,520,
263,837,128,641,054,796,008,146,776,275,330,714,865,518,721,600,760,520,773,
764,328,988,958,123,644,261,639,039,899,700,683,505,527,088,894,478,317,112,
739,942,401,462,415,983,760,345,644,649,034,975,985,877,165,515,447,216,901,
909,648,829,049,390,320,912,315,685,304,552,830,078,044,572,338,186,203,796,
861,822,884,253,134,584,932,628,699,505,443,884,697,950,698,848,020,982,888,
462,859,484,643,327,660,035,106,298,975,497,921,441,273,073,406,481,840,624,
496,785,800,744,627,480,867,821,152,249,067,793,348,327,781,213,187,665,813,
283,173,670,739,630,800,459,345,543,771,300,268,727,494,716,835,439,446,108,
709,112,344,022,543,696,348,574,709,290,845,598,396,360,568,457,353,506,449,
748,121,901,594,436,692,073,838,239,231,153,810,699,628,191,344,570,393,394,
254,293,848,661,239,486,164,230,322,104,217,411,276,395,537,339,287,953,035,
986,691,937,634,361,996,834,649,234,782,590,047,628,192,207,489,069,416,677,
047,396,074,097,020,375,569,392,755,238,041,014,019,430,584,669,803,070,658,
528,436,463,249,912,182,553,785,925,378,752,703,461,907,277,650,902,964,088,
905,113,925,556,696,307,778,602,132,499,046,758,267,914,214,353,497,590,716,
107,143,328,994,890,162,161,180,885,141,176,642,251,751,521,003,673,666,885,
251,036,268,742,107,528,326,060,844,448,760,972,487,403,342,588,237,125,506,
374,367,556,136,671,377,805,516,362,558,761,405,837,802,881,024,478,878,529,
096,891,057,077,040,385,408,903,173,433,083,016,581,366,090,073,855,722,151,
858,553,087,425,154,995,901,315,791,313,846,642,691,648,946,439,836,412,732,
069,139,466,956,190,550,470,440,678,262,978,574,071,875,733,693,430,333,044,
232,995,619,934,096,520,330,272,639,717,359,101,490,666,553,924,652,287,698,
059,276,742,025,278,197,368,720,179,369,920,396,110,186,808,318,783,050,190,
591,395,314,461,638,941,014,613,427,361,793,561,906,897,804,831,440,604,028,
970,148,891,698,849,641,968,179,157,079,088,372,037,054,239,137,972,512,772,
793,352,991,603,024,631,482,780,000,678,614,580,297,657,411,625,759,274,365,
907,870,420,293,507,358,072,181,134,981,465,487,315,571,741,107,900,970,834,
028,509,581,961,422,349,508,038,406,495,789,432,446,798,394,561,507,226,258,
194,249,753,139,067,395,430,098,172,323,284,305,758,147,484,250,993,848,229,
944,692,084,826,490,077,625,191,084,021,294,073,775,917,997,338,375,854,269,
333,831,707,285,274,447,399,182,954,729,433,481,636,090,804,977,992,643,841,
989,067,562,683,088,768,674,974,081,051,809,996,317,990,738,261,922,132,334,
865,458,976,888,545,107,146,550,367,567,741,862,689,884,674,887,022,396,698,
143,607,597,566,303,430,998,555,683,412,044,451,378,982,118,157,723,010,033,
249,979,116,481,987,919,933,106,750,361,557,380,195,227,557,927,290,893,645,
814,911,511,551,557,657,322,070,601,336,464,023,407,269,882,225,441,261,754,
068,530,856,267,740,787,072,738,408,341,494,280,300,395,269,524,025,956,027,
940,352,927,846,895,303,278,971,702,562,507,894,421,238,362,948,028,473,706,
032,399,735,324,187,302,325,739,990,032,827,227,565,746,517,952,857,014,102,
939,742,386,188,479,061,996,110,695,103,907,071,313,690,757,491,542,671,462,
195,905,809,696,887,508,236,228,910,060,260,214,683,873,725,723,124,665,873,
243,832,744,697,713,613,653,882,759,910,182,884,614,366,333,017,294,069,568,
718,980,774,429,919,298,433,667,157,878,390,663,756,600,599,941,015,173,492,
109,040,982,416,779,267,262,442,782,578,334,395,507,154,832,582,749,181,363,
316,392,666,308,870,721,242,960,782,292,482,435,541,056,230,099,399,650,869,
141,689,214,053,676,187,343,284,644,009,618,886,365,021,043,365,583,707,452,
246,403,945,469,591,770,933,780,964,229,327,274,025,879,688,102,981,147,305,
343,671,387,480,785,577,591,617,405,378,231,242,363,343,709,632,586,016,508,
265,027,480,806,981,185,053,861,486,009,547,935,370,832,179,110,759,456,301,
784,200,404,088,441,457,336,187,962,219,024,639,880,949,379,177,605,781,929,
151,859,926,159,987,685,736,867,314,552,889,336,714,328,651,673,852,085,989,
671,699,496,271,799,337,808,312,589,090,040,335,673,130,060,509,678,616,736,
617,073,612,917,324,181,292,623,680,138,600,255,632,239,888,599,974,928,606,
477,533,846,375,816,999,553,877,095,862,800,045,874,511,973,008,189,592,925,
226,275,629,778,657,444,636,154,082,649,583,314,294,691,601,158,948,541,268,
432,847,313,712,421,550,314,238,139,490,782,524,179,651,421,186,882,296,731,
449,512,628,858,592,142,104,544,954,537,016,785,732,599,815,420,155,901,626,
254,979,426,666,147,753,487,923,720,610,298,246,492,441,749,002,642,780,346,
495,589,085,956,892,869,497,566,479,014,694,150,819,003,954,620,223,558,894,
261,954,379,337,474,795,041,555,992,141,263,651,003,812,703,382,012,714,226,
445,985,583,713,658,026,464,394,743,451,378,429,085,312,887,246,543,194,018,
026,450,114,811,638,648,258,345,023,886,960,328,629,081,574,226,479,033,183,
080,931,220,576,951,873,811,161,419,764,872,234,788,467,491,805,073,732,769,
444,604,546,886,372,508,315,642,180,171,918,903,152,521,553,775,885,109,422,
454,551,269,011,334,242,681,086,846,322,113,742,536,176,702,802,137,315,358,
624,046,707,211,724,564,003,034,152,665,903,790,777,689,825,890,059,623,306,
772,656,618,224,104,554,105,566,639,923,742,435,134,168,895,309,906,772,066,
484,816,657,796,950,604,404,088,946,608,904,581,556,199,603,057,205,981,925,
595,283,212,302,824,663,606,429,030,754,511,685,142,780,746,516,046,734,091,
227,302,137,881,864,035,970,196,853,449,466,901,433,855,755,356,333,939,992,
891,629,204,744,626,052,466,996,883,661,812,934,193,371,292,789,510,584,102,
692,764,887,073,907,039,684,537,312,005,684,728,997,101,346,900,038,863,185,
773,026,083,037,563,141,159,541,110,024,778,396,467,451,678,698,007,534,101,
238,427,307,246,015,476,357,886,042,553,383,228,036,666,885,992,872,306,951,
971,380,491,215,458,001,551,081,748,919,019,056,936,757,041,871,984,011,675,
200,549,440,583,733,344,380,352,165,181,834,310,323,955,514,995,698,238,763,
000,999,305,243,994,619,966,413,658,275,309,636,596,832,350,049,461,057,151,
882,531,282,880,829,727,899,114,601,661,757,853,959,716,439,735,466,052,001,
819,290,414,905,295,859,985,364,171,048,572,022,217,349,844,303,129,105,708,
598,787,264,305,889,175,202,236,808,947,320,505,692,792,515,024,431,257,202,
898,400,900,061,772,460,751,582,710,186,201,435,245,037,142,403,052,118,175,
782,038,833,763,300,751,798,814,215,380,079,430,939,625,478,750,083,036,519,
835,858,392,123,552,118,135,856,139,839,354,837,168,151,615,656,938,280,867,
973,770,838,974,854,987,122,753,013,317,672,639,003,237,830,117,905,459,408,
732,749,516,951,263,007,979,836,226,205,952,051,749,059,605,026,699,563,020,
244,294,022,549,266,835,761,128,542,111,154,604,814,205,759,852,063,684,648,
354,276,693,641,071,619,573,742,750,365,384,590,232,502,975,893,097,138,729,
793,667,956,876,780,075,037,303,198,330,650,093,690,520,596,353,112,906,929,
881,218,846,515,032,431,156,998,253,731,036,631,247,467,303,912,546,437,276,
982,014,359,626,645,500,903,892,753,462,937,283,518,258,180,846,100,616,266,
673,311,649,945,290,341,031,405,887,593,136,686,242,876,124,399,193,068,424,
139,783,740,920,453,049,303,317,813,717,532,338,655,413,213,813,791,433,340,
893,487,909,994,295,522,046,205,704,030,169,692,018,364,033,805,321,417,921,
352,981,460,672,606,134,827,169,143,570,918,092,711,376,091,809,248,979,327,
778,696,836,545,837,908,046,883,525,328,118,073,574,606,370,370,774,407,583,
155,902,237,476,538,748,932,732,202,135,167,601,470,932,519,671,882,729,731,
524,078,871,288,895,797,160,136,705,489,525,435,001,497,267,667,709,721,559,
705,885,108,242,604,015,692,964,783,757,402,521,903,174,560,397,109,429,976,
482,509,826,369,375,511,015,667,432,784,967,454,112,836,390,884,502,964,194,
870,179,827,704,500,916,786,096,889,906,742,099,184,110,106,240,903,673,038,
285,195,846,183,351,856,636,502,312,545,236,609,593,542,809,553,763,744,478,
354,340,695,233,475,438,661,310,668,366,717,019,239,890,351,001,901,408,006,
042,248,797,334,488,138,144,098,281,866,299,715,455,047,148,830,275,336,297,
232,085,076,392,286,276,096,851,014,621,731,761,255,831,924,026,440,728,003,
425,180,055,888,703,335,515,312,205,985,588,953,553,439,141,677,327,716,300,
315,872,959,839,494,234,745,989,389,368,996,571,177,390,099,919,482,267,956,
665,573,737,210,333,218,358,422,684,450,944,584,637,764,541,157,378,505,023,
081,208,664,660,870,811,972,480,195,974,617,399,811,402,775,419,452,662,846,
064,721,300,128,328,943,648,356,450,346,200,819,294,076,405,665,519,322,358,
380,642,128,146,524,866,191,278,771,496,272,671,185,422,210,570,740,729,046,
686,613,194,717,207,414,892,203,319,888,578,403,762,140,682,792,263,635,723,
396,775,074,688,922,235,780,665,792,533,311,816,707,016,674,564,801,555,175,
951,225,076,511,884,507,046,982,000,074,975,038,123,889,377,655,646,473,100,
992,773,279,817,014,155,736,579,659,856,001,632,107,613,093,911,119,617,696,
025,573,629,782,611,736,777,722,022,969,463,397,410,071,880,816,228,955,040,
119,106,138,940,741,575,674,510,569,921,072,531,058,603,004,970,924,604,225,
021,213,058,834,137,340,378,885,496,027,530,898,638,795,771,309,910,767,360,
870,092,186,466,957,629,164,818,663,214,615,732,674,012,989,277,407,886,182,
880,176,483,245,025,220,226,397,320,546,973,380,750,538,289,857,359,792,173,
591,735,572,419,184,123,510,411,057,412,155,608,263,713,820,566,017,839,661,
469,280,258,790,129,504,172,448,226,095,421,019,369,066,699,542,202,760,643,
040,412,052,041,341,523,627,134,885,555,445,146,470,551,554,101,297,362,882,
716,753,946,186,948,257,000,302,029,190,427,117,659,992,210,072,532,791,195,
716,732,506,610,435,370,723,802,352,387,744,235,211,613,265,599,208,122,855,
684,457,741,491,212,253,657,470,343,251,137,559,834,203,952,481,320,090,612,
592,957,563,178,175,440,931,612,559,350,340,063,720,422,543,905,246,422,126,
398,898,732,202,600,906,252,108,720,748,584,865,404,852,406,902,271,449,375,
099,135,759,726,702,697,763,101,667,657,459,941,558,745,353,243,400,711,884,
656,173,719,542,498,611,352,688,566,427,969,565,038,159,795,486,382,437,613,
660,599,032,831,122,698,643,336,169,334,407,102,776,550,766,468,899,717,345,
589,831,549,458,460,835,497,278,661,048,034,783,325,297,918,264,666,709,719,
549,339,270,636,371,907,157,067,845,012,635,048,589,211,840,959,719,333,008,
656,551,682,050,926,053,985,858,439,572,028,009,776,817,729,008,049,610,907,
197,927,263,588,622,009,526,168,394,695,775,762,807,403,355,858,138,967,921,
511,421,445,835,313,271,960,213,910,846,470,835,385,166,916,886,799,891,411,
456,584,397,374,063,733,717,313,912,998,801,448,011,562,664,867,021,783,146,
943,784,406,673,863,696,212,768,326,313,666,667,561,155,871,018,654,164,494,
807,108,640,934,803,747,982,241,655,643,366,647,837,916,808,064,569,596,010,
851,689,647,257,463,771,347,931,880,564,897,513,203,907,754,644,114,325,660,
232,540,222,575,292,780,543,664,582,736,690,088,144,292,172,647,849,516,079,
404,099,093,815,565,224,144,257,170,256,582,748,913,599,376,489,670,697,183,
657,399,097,267,815,437,100,194,785,355,638,271,441,205,895,240,734,034,859,
222,198,251,256,738,834,995,128,815,060,931,469,488,943,519,218,536,162,975,
815,884,031,700,288,128,715,677,911,323,739,437,442,917,619,519,586,629,130,
397,202,582,604,918,109,743,149,245,384,482,170,077,212,264,379,546,426,885,
667,431,269,104,736,014,285,626,617,657,119,671,930,775,172,286,004,043,546,
815,873,024,552,482,350,739,512,647,407,287,726,371,157,178,021,122,396,738,
335,403,279,694,414,010,830,661,676,424,044,867,365,594,941,933,456,907,981,
408,951,419,050,861,926,883,358,043,890,927,084,349,757,298,957,718,945,530,
809,670,752,070,118,003,064,062,876,661,278,759,438,469,561,597,795,516,025,
515,363,360,880,668,547,468,079,457,798,746,205,001,220,447,795,859,926,237,
420,482,533,618,091,785,431,725,117,558,809,064,748,518,232,357,246,106,613,
225,628,588,239,466,495,112,630,582,408,843,470,813,754,086,468,162,688,921,
477,700,069,931,230,286,028,563,654,403,494,944,840,174,348,949,442,995,525,
602,443,832,471,183,726,863,204,633,880,567,769,569,011,632,747,136,441,864,
851,920,284,907,959,298,062,068,958,092,997,517,543,669,896,263,984,597,242,
525,407,422,538,342,696,598,342,480,433,118,028,132,448,841,391,511,629,967,
722,050,559,218,624,186,205,299,877,130,617,923,708,704,552,239,268,515,899,
794,433,976,743,623,206,590,230,458,524,012,424,098,740,291,635,758,815,793,
480,214,452,062,452,194,855,163,057,429,907,745,539,179,558,350,321,315,185,
089,579,389,223,696,835,633,202,051,082,657,440,015,691,894,366,572,059,205,
037,108,422,596,393,783,906,410,790,003,397,952,353,091,149,850,210,254,436,
122,206,881,841,833,941,028,262,162,400,799,289,821,163,915,614,244,211,450,
684,985,178,571,708,140,914,279,497,603,860,626,104,761,194,812,995,122,142,
930,703,980,312,951,122,486,609,084,042,600,199,963,459,987,471,956,468,708,
349,738,081,826,460,167,845,670,202,917,249,220,798,478,318,250,120,620,601,
863,312,884,562,659,786,882,297,229,891,025,335,930,608,599,637,123,259,750,
248,315,260,006,509,510,938,302,823,587,011,556,653,871,150,060,491,097,331,
100,425,927,031,410,938,330,736,987,828,532,305,356,129,973,924,290,988,000,
987,624,113,296,735,675,686,250,576,015,137,453,876,921,047,681,089,468,303,
445,428,641,953,776,494,215,645,963,621,665,885,122,138,756,258,294,828,120,
466,658,301,903,556,599,119,476,244,283,695,462,646,870,722,106,296,674,120,
598,613,346,747,271,364,720,524,846,000,689,954,717,254,701,330,099,534,792,
869,248,967,942,202,478,905,821,819,314,332,604,707,677,808,675,326,995,256,
489,163,813,689,181,884,358,313,806,606,699,416,572,616,760,801,129,679,002,
795,911,569,126,291,609,322,327,664,647,853,623,625,620,002,254,709,996,396,
249,115,343,033,872,957,414,645,401,373,724,174,409,129,789,614,366,005,110,
815,706,853,954,303,176,929,323,234,343,507,106,894,399,242,635,860,052,281,
297,496,361,390,556,540,956,914,872,809,009,432,978,047,841,562,265,312,196,
281,038,156,946,533,384,489,982,667,835,162,281,608,942,863,818,725,177,585,
868,604,732,517,506,359,171,401,130,798,150,066,157,340,890,125,938,750,481,
390,199,865,252,396,069,375,198,944,063,398,548,369,874,216,551,369,762,761,
814,033,354,788,392,896,940,797,603,818,987,067,394,073,581,160,943,316,557,
100,782,577,225,191,613,150,228,566,841,072,898,601,364,034,438,983,719,236,
299,805,275,915,896,848,225,429,729,209,301,988,191,355,922,880,203,960,654,
548,186,976,999,960,154,511,482,216,920,890,768,513,133,146,250,441,859,674,
166,598,815,665,213,728,279,520,319,135,762,403,415,871,034,525,625,040,009,
209,144,966,213,554,004,276,164,139,992,047,519,725,651,431,130,956,321,150,
135,146,137,354,967,460,931,270,079,599,583,158,141,870,687,941,159,145,610,
675,206,891,005,048,664,785,558,805,632,982,318,838,241,132,536,746,070,183,
512,758,779,935,393,145,188,594,243,005,798,384,684,284,966,625,193,507,541,
679,925,969,308,146,426,419,709,942,248,549,753,235,354,255,014,214,792,863,
211,912,853,953,374,064,117,664,438,643,247,145,009,334,481,355,434,093,140,
128,370,717,833,895,657,681,764,486,317,133,307,294,693,614,542,689,640,809,
543,143,932,369,677,226,828,276,607,458,249,049,829,972,924,031,674,347,800,
398,932,455,145,185,044,323,928,961,217,648,858,176,199,069,617,005,754,864,
408,965,042,387,396,385,300,526,843,096,642,121,796,731,563,953,576,878,255,
366,624,371,490,447,367,634,847,040,602,688,307,826,498,787,027,388,426,052,
951,372,225,770,302,080,969,306,367,324,250,382,673,982,563,928,959,469,080,
651,118,174,640,809,959,753,566,033,783,582,977,502,272,846,970,892,206,584,
906,798,393,415,383,544,977,321,784,244,668,032,350,793,144,553,282,450,896,
699,699,490,474,163,079,837,042,055,602,230,158,012,172,428,102,997,707,786,
421,883,864,240,359,705,981,297,961,277,060,548,764,085,285,746,035,765,699,
119,884,262,573,624,033,284,566,173,061,757,026,810,521,479,638,698,575,363,
282,168,406,818,997,089,441,764,381,772,659,733,583,920,423,226,337,850,764,
459,677,250,733,710,395,989,941,395,794,036,433,592,322,958,332,666,942,386,
414,395,429,704,098,165,226,391,687,924,457,670,203,835,579,923,188,665,228,
831,315,421,663,543,622,073,777,310,766,444,048,352,830,197,369,658,892,366,
760,376,345,392,726,410,655,158,222,852,342,580,069,984,845,422,262,177,494,
582,948,377,354,877,273,351,493,691,678,451,047,345,294,582,986,014,873,616,
966,977,409,824,976,308,575,931,606,498,162,496,123,352,793,132,722,717,496,
065,946,903,459,479,719,357,861,922,306,609,717,867,773,750,896,864,227,726,
765,417,257,186,256,432,699,783,572,256,628,086,020,883,659,406,035,132,075,
707,769,676,054,997,771,072,318,584,255,533,825,779,039,345,155,138,973,381,
763,317,002,523,930,625,380,819,204,355,303,641,871,474,519,355,469,960,448,
409,536,437,755,364,663,200,428,370,633,385,612,683,239,111,512,425,192,405,
420,031,931,846,542,296,806,439,025,438,063,876,898,513,980,703,331,503,711,
332,724,944,423,930,931,068,880,518,836,041,272,115,725,593,417,517,328,199,
271,140,081,330,733,331,096,537,257,370,092,663,648,300,823,614,851,572,456,
368,245,988,270,596,658,517,996,462,744,810,706,552,967,081,637,608,819,044,
140,232,805,965,119,673,030,252,722,007,066,120,929,419,900,027,473,779,164,
939,806,040,668,589,776,853,221,721,828,824,842,566,692,484,559,338,323,950,
124,795,516,109,655,431,622,748,918,583,481,266,651,223,866,156,570,993,287,
663,462,173,007,996,794,521,390,205,397,439,293,482,220,821,263,212,413,896,
536,002,733,889,580,117,111,073,542,469,355,834,452,996,996,045,247,626,655,
693,062,843,803,346,992,505,826,781,249,246,792,937,392,663,687,206,939,546,
116,751,282,339,778,858,603,452,271,486,873,676,715,336,140,950,294,607,076,
744,715,544,685,941,608,516,077,739,638,762,921,524,767,937,720,168,170,492,
433,529,445,204,775,118,817,499,026,426,376,561,966,602,951,081,079,468,901,
155,233,849,269,244,412,563,510,739,946,905,703,071,693,532,654,791,607,690,
294,320,395,872,553,648,982,385,543,343,253,398,961,724,177,847,385,100,448,
382,203,754,483,696,129,542,611,125,616,507,921,568,379,222,480,535,848,497,
472,989,067,432,620,833,146,817,387,921,243,116,716,273,135,846,256,305,344,
330,476,416,347,320,540,257,938,939,507,096,206,346,547,619,537,303,585,970,
687,520,202,618,040,464,036,988,405,969,344,339,151,342,590,272,179,844,600,
876,775,951,550,138,479,827,730,135,504,886,125,512,994,798,547,909,045,234,
470,313,272,141,542,111,737,753,625,569,112,074,295,158,856,515,042,454,130,
916,249,258,370,038,356,557,627,927,536,685,377,643,692,064,604,102,374,421,
624,269,331,057,048,403,324,482,487,637,601,697,163,788,138,096,355,437,864,
893,641,562,242,561,191,630,319,019,070,837,478,588,273,170,111,739,598,366,
861,416,312,985,846,893,018,996,073,008,113,924,334,276,295,349,909,261,582,
047,587,886,730,926,933,554,908,081,415,853,192,084,078,372,560,934,391,492,
265,559,756,430,849,855,434,067,421,833,908,148,283,956,885,119,603,567,884,
074,099,528,619,334,043,165,895,800,226,561,661,984,412,110,805,185,909,872,
843,057,899,945,607,327,050,051,305,377,096,924,033,654,316,965,960,404,118,
856,226,586,714,952,375,735,816,207,113,615,148,515,602,990,311,221,449,620,
466,837,649,711,356,851,110,292,669,807,326,855,878,841,397,203,692,484,979,
697,794,051,437,866,356,804,065,388,291,455,388,380,044,398,125,654,042,289,
473,916,025,989,029,374,739,687,101,814,427,925,113,119,389,746,023,746,290,
311,407,083,722,647,903,729,716,938,851,422,350,814,537,586,939,472,810,578,
615,073,787,380,037,382,278,552,447,037,432,089,575,723,816,291,204,805,494,
054,195,642,471,709,175,158,503,630,907,914,629,582,195,945,595,401,742,784,
343,853,535,844,004,326,777,595,833,345,971,981,187,694,081,160,171,045,476,
535,188,734,647,544,253,275,950,374,299,614,879,889,863,958,780,966,509,722,
925,761,239,790,695,887,027,956,012,130,291,816,617,863,592,089,974,350,966,
317,637,837,053,357,299,613,020,318,768,150,353,883,169,458,974,687,296,248,
054,645,118,356,088,767,500,457,670,257,413,298,933,994,985,333,488,641,334,
103,356,217,461,566,284,623,350,915,008,878,103,728,492,582,693,809,711,307,
220,698,677,096,052,688,269,435,201,826,018,567,657,857,736,961,671,223,047,
733,966,326,537,074,655,244,328,531,210,979,088,721,086,756,306,361,826,061,
618,794,099,168,458,095,853,529,148,139,392,797,984,516,339,408,035,781,680,
671,933,761,112,512,874,438,671,774,173,659,503,758,025,973,123,226,777,071,
225,105,402,497,187,311,748,150,513,746,322,876,011,931,276,627,944,608,181,
482,163,244,497,018,940,908,298,828,976,634,472,840,236,277,942,764,244,764,
907,406,729,944,384,448,587,384,476,707,368,251,758,529,729,998,142,691,262,
436,717,284,536,414,523,574,225,124,148,957,331,447,620,640,207,578,598,552,
439,641,730,264,689,714,058,410,311,572,985,963,448,706,447,778,598,838,077,
389,475,184,650,490,117,030,462,623,085,666,925,426,034,009,226,240,036,941,
399,718,658,629,062,854,069,381,039,678,376,169,299,419,157,685,631,956,575,
578,724,190,013,671,310,653,007,062,804,486,075,192,819,037,142,686,188,007,
001,976,944,416,101,576,933,244,727,034,803,296,441,036,231,404,758,500,387,
137,369,472,477,435,444,609,632,449,041,663,421,005,782,891,020,777,500,424,
848,701,555,574,764,335,334,193,087,763,150,510,807,738,199,608,549,658,089,
197,168,550,891,071,153,462,742,796,239,995,115,256,735,733,709,953,936,847,
878,645,254,049,396,155,402,398,710,295,018,121,964,593,030,179,753,849,778,
050,872,255,657,979,145,488,680,235,331,644,869,615,361,499,255,315,504,639,
260,590,242,278,111,855,347,979,231,772,751,508,577,014,157,154,185,087,241,
772,773,872,472,985,858,206,707,829,538,083,370,739,043,290,644,868,528,563,
301,730,787,019,011,771,516,067,938,844,523,379,806,887,520,568,295,287,237,
144,514,984,140,895,934,361,641,990,341,346,324,190,522,930,825,109,970,611,
062,067,041,751,563,908,765,215,540,354,661,181,863,101,409,547,294,177,070,
519,831,666,483,766,322,414,242,214,486,928,716,612,293,549,862,612,037,791,
526,584,112,562,833,116,255,336,849,768,357,918,408,979,443,608,122,156,593,
971,247,830,602,783,128,240,734,415,286,858,702,323,938,687,741,240,272,830,
491,794,427,486,189,724,822,205,756,369,477,039,115,149,020,592,076,257,402,
666,556,218,162,191,060,658,958,720,050,498,430,023,162,396,196,973,846,981,
158,886,082,936,827,227,303,255,134,903,827,759,114,731,941,999,501,233,427,
122,240,373,067,565,056,556,147,233,886,205,593,016,610,054,185,856,826,645,
349,468,663,693,262,679,095,633,625,433,901,753,690,524,836,874,058,957,922,
078,846,490,882,971,884,093,206,596,211,442,896,604,036,431,413,746,772,086,
862,542,973,981,740,319,582,560,634,708,121,110,428,986,459,336,740,711,257,
046,758,923,560,163,926,100,208,590,140,329,437,844,448,226,521,856,466,955,
433,301,996,573,290,298,656,487,771,858,655,139,160,092,560,451,945,320,969,
750,232,482,429,095,104,801,928,956,545,048,560,666,652,858,718,064,191,531,
804,409,379,704,179,252,943,024,595,561,954,678,129,368,007,563,197,291,103,
832,103,676,037,019,041,727,563,614,439,691,331,463,614,500,405,064,378,744,
915,930,662,746,457,130,165,859,419,793,207,786,774,616,985,568,896,818,726,
712,094,921,854,858,830,666,188,354,896,523,264,141,049,690,387,209,453,437,
177,108,422,857,856,290,374,724,741,030,564,779,145,127,489,871,262,707,480,
358,902,676,468,379,621,707,461,833,666,208,256,992,220,873,059,764,129,342,
049,019,542,193,702,781,996,059,762,827,854,714,425,869,450,544,502,754,848,
100,861,717,909,537,872,693,585,444,627,816,484,076,264,074,510,344,785,280,
996,585,197,662,976,269,594,794,570,370,270,302,682,064,312,504,636,606,079,
653,577,901,155,345,010,744,642,034,716,507,769,986,547,606,785,648,294,221,
808,546,134,219,903,524,715,865,906,938,702,651,488,139,081,718,103,834,856,
545,702,506,359,590,885,244,961,152,778,463,867,358,851,507,675,105,677,594,
923,184,559,551,823,129,161,249,236,840,948,917,587,500,545,692,225,813,445,
153,217,522,367,889,023,774,554,384,772,817,710,110,261,893,978,215,264,337,
422,843,641,165,923,460,559,250,823,278,060,193,802,621,795,052,402,416,023,
605,623,682,135,466,740,473,438,206,121,065,643,079,865,215,939,489,403,334,
226,860,683,531,393,882,988,954,140,210,511,582,949,846,660,875,878,513,517,
461,040,275,785,032,064,755,602,656,477,430,897,565,592,391,781,955,612,196,
798,544,350,194,256,796,584,707,403,365,836,811,731,845,513,052,674,640,364,
931,809,368,142,984,975,235,827,190,113,804,008,708,414,472,399,223,455,472,
229,859,541,252,979,411,360,274,277,336,180,205,753,605,159,008,113,605,688,
728,206,025,889,986,514,873,830,890,368,562,819,378,564,375,930,808,230,141,
045,194,176,882,801,921,241,170,955,273,586,182,322,887,920,524,750,611,718,
184,127,685,523,784,401,137,198,860,964,910,534,033,080,235,081,111,779,708,
376,702,351,715,590,480,811,477,110,498,292,259,467,890,593,797,054,387,435,
949,089,809,650,137,483,881,954,733,724,868,351,062,457,489,305,068,404,485,
642,059,888,560,015,096,294,348,214,094,311,141,326,965,899,077,723,324,256,
643,524,150,724,614,804,783,173,273,390,096,114,215,315,046,585,607,920,212,
614,916,906,240,716,835,649,423,623,209,698,244,253,065,287,985,609,812,906,
602,522,980,893,287,335,402,125,088,865,287,653,103,764,011,782,472,508,844,
762,864,865,812,947,298,488,655,320,927,726,725,184,181,851,387,334,508,489,
163,622,259,483,322,796,404,194,885,814,121,138,031,086,067,576,494,832,042,
733,144,482,248,237,927,338,434,558,440,164,638,794,066,682,549,896,724,290,
202,819,734,288,063,248,371,052,652,666,729,572,071,409,057,245,407,907,932,
554,020,764,721,030,965,018,262,035,460,593,836,176,184,153,998,821,622,884,
264,310,270,912,881,564,491,098,070,711,723,676,388,482,192,558,117,247,047,
612,835,308,293,277,164,372,741,826,662,413,477,049,981,072,757,035,810,841,
014,860,284,715,230,259,358,554,037,240,164,577,169,621,498,415,012,836,292,
996,589,007,769,401,056,330,021,886,714,854,979,213,820,841,977,858,354,777,
702,588,225,316,266,726,864,663,012,879,376,577,907,342,841,376,851,827,042,
533,408,732,789,886,434,338,055,967,782,692,077,994,468,900,942,320,632,986,
197,201,871,941,828,715,552,953,373,954,084,486,782,990,821,579,855,094,836,
258,022,786,461,616,976,248,159,489,617,206,426,911,453,497,744,983,178,578,
845,037,558,685,779,317,857,901,127,292,087,972,404,349,829,092,924,450,614,
668,029,286,773,882,463,144,483,662,552,921,865,691,154,703,194,512,241,711,
501,894,919,947,550,412,497,190,213,720,250,520,703,775,193,649,431,694,631,
303,330,353,652,087,413,293,734,987,183,045,600,011,566,741,587,397,620,636,
769,411,088,725,985,265,751,296,137,446,765,817,830,016,352,251,429,673,912,
687,836,181,916,346,754,872,299,313,416,783,207,482,610,158,114,023,796,008,
793,139,120,904,121,625,318,839,559,637,892,492,340,726,428,979,253,822,630,
876,564,316,165,956,946,824,725,508,156,171,646,180,781,982,603,298,311,515,
655,977,583,688,292,862,430,000,933,380,854,203,779,676,689,537,759,572,317,
133,103,287,583,837,765,180,905,444,458,836,705,968,885,535,147,514,736,770,
032,039,028,139,849,874,091,206,768,579,437,982,519,764,421,691,653,961,156,
522,639,777,140,042,806,102,546,736,101,634,835,525,994,474,832,382,535,770,
116,203,750,870,431,111,089,857,119,825,462,608,031,519,912,627,002,730,974,
284,527,308,047,052,501,296,896,948,151,944,187,132,446,167,921,515,665,869,
903,201,047,744,510,625,943,134,091,116,884,539,139,293,445,363,253,544,811,
856,584,699,611,459,161,098,964,907,019,237,000,261,348,648,608,504,883,622,
665,524,646,706,703,212,057,146,830,072,848,827,264,624,276,963,311,567,635,
639,608,029,153,107,088,200,161,574,341,140,257,247,112,571,190,518,417,800,
028,351,062,789,613,910,682,423,815,890,740,799,065,111,980,731,418,894,099,
310,960,727,868,046,848,166,395,190,886,900,745,779,249,808,900,934,072,805,
290,716,982,440,469,079,837,252,629,974,724,830,894,177,500,352,765,628,627,
607,384,159,806,628,432,898,049,684,905,821,004,486,458,399,246,885,352,863,
283,287,562,555,764,039,913,512,808,457,602,784,702,337,707,556,529,571,638,
448,892,507,522,956,581,188,573,339,849,546,521,874,505,280,087,590,341,165,
675,771,570,421,421,789,094,292,112,548,346,030,406,428,779,836,264,973,606,
848,087,566,103,367,381,654,289,445,029,535,677,157,394,405,186,517,092,052,
140,166,805,564,422,193,472,203,782,975,386,731,623,032,123,060,258,357,150,
308,128,297,443,442,287,410,407,461,115,086,305,020,804,525,280,925,135,083,
722,645,930,373,658,497,413,537,094,895,990,464,075,617,339,323,733,524,549,
031,892,415,188,631,155,078,134,720,117,026,045,979,834,173,272,280,940,184,
958,388,824,625,526,249,454,819,485,118,915,939,907,347,925,869,806,774,468,
106,163,677,277,071,355,172,271,060,348,698,208,058,827,140,174,698,853,419,
971,482,643,929,826,326,603,598,907,737,042,935,289,667,163,491,472,906,382,
611,544,930,351,366,830,040,118,630,107,299,839,490,008,357,155,710,081,713,
493,430,856,169,392,567,649,990,612,967,743,608,010,978,742,146,279,630,418,
988,750,508,401,489,366,553,548,102,356,847,825,168,121,900,863,586,711,064,
834,152,833,801,570,629,171,718,586,901,534,188,153,965,056,147,192,538,380,
657,810,497,309,955,968,170,042,897,258,268,007,307,120,353,655,205,400,285,
556,855,592,673,446,902,172,668,231,539,310,276,084,569,347,458,933,442,647,
844,309,182,126,475,734,933,307,846,028,870,967,371,883,074,569,611,355,696,
580,695,805,458,246,668,781,417,395,664,165,780,665,607,024,935,510,306,233,
792,650,004,650,821,907,152,950,619,852,821,751,796,094,403,414,285,680,724,
074,256,804,333,491,496,325,564,390,008,750,942,622,580,521,342,140,713,419,
114,931,235,168,579,761,720,210,853,894,501,588,979,312,650,644,492,534,963,
043,541,451,506,891,611,044,720,093,234,607,899,084,118,207,124,782,100,928,
809,021,846,242,975,641,749,363,550,033,957,356,451,917,970,209,734,797,296,
639,364,746,278,702,162,328,274,848,577,008,084,122,552,016,038,522,178,915,
834,899,953,433,313,364,797,595,430,945,971,168,366,008,223,148,202,748,540,
212,078,354,085,339,964,758,008,073,584,790,845,069,770,483,143,068,879,303,
230,787,982,401,468,915,493,629,978,149,029,248,545,446,543,143,352,433,610,
384,626,723,688,553,254,934,327,010,029,087,107,619,622,152,048,946,606,480,
437,025,288,089,211,344,419,265,711,945,805,318,781,903,792,008,644,967,355,
810,460,172,166,750,820,811,466,009,406,642,703,176,758,659,822,816,269,075,
342,637,275,191,552,781,300,977,991,173,820,466,927,526,019,467,821,018,068,
256,361,429,960,629,702,213,358,186,163,426,331,183,815,171,256,547,688,642,
635,669,400,432,863,824,154,936,144,552,779,380,249,086,100,241,672,422,084,
757,333,638,544,349,485,825,129,770,686,975,860,289,686,544,206,007,914,772,
947,740,017,872,039,235,024,793,940,718,366,959,657,200,537,583,687,525,191,
699,036,712,942,359,687,694,861,609,311,939,475,582,630,821,711,195,456,275,
944,521,540,124,859,481,103,399,764,249,221,499,632,425,341,040,238,915,345,
964,305,052,416,812,847,064,709,035,169,720,016,196,893,109,910,685,550,716,
094,379,602,626,463,163,303,785,689,938,094,313,109,646,190,383,932,639,405,
226,615,103,704,421,280,468,691,880,215,969,314,967,697,887,445,734,002,612,
097,535,906,021,945,491,756,050,441,558,099,621,537,962,108,527,097,805,005,
479,145,649,076,222,623,843,990,368,599,858,632,893,664,517,939,289,735,882,
322,991,482,241,335,136,045,824,783,604,076,192,262,982,003,944,635,732,811,
252,334,118,378,876,127,727,868,449,435,316,539,220,120,015,329,470,118,024,
134,237,773,151,645,360,158,262,177,949,265,523,084,806,009,675,129,110,039,
695,517,398,032,471,812,396,832,099,211,501,235,647,234,482,292,772,642,569,
498,112,644,001,132,817,155,656,728,353,233,419,105,789,175,724,665,850,018,
316,872,825,526,777,853,111,038,319,305,963,017,373,408,304,864,030,123,619,
389,390,015,925,527,326,329,998,780,707,722,141,690,329,682,810,587,057,921,
218,571,880,195,393,006,270,859,432,928,506,246,822,368,134,905,588,134,557,
382,857,901,020,151,828,787,354,193,517,783,543,437,590,014,597,562,281,120,
538,768,359,032,559,255,802,815,227,000,255,994,109,476,105,392,673,808,818,
028,922,057,890,320,804,812,957,972,614,659,663,723,237,055,055,235,514,638,
810,609,504,036,629,579,099,554,597,996,629,782,747,700,735,309,592,773,327,
511,512,034,172,698,848,558,048,791,938,059,881,965,490,018,981,719,078,538,
938,131,143,248,051,579,598,020,927,333,043,638,569,875,824,353,461,153,773,
930,900,312,001,124,030,410,936,738,683,735,188,131,578,096,391,603,826,701,
326,411,002,015,601,044,851,075,200,977,604,200,013,802,706,810,744,559,334,
837,529,712,310,902,275,742,742,576,411,144,120,772,928,208,991,125,209,042,
062,118,399,635,416,398,018,991,712,965,650,228,729,770,754,240,325,725,880,
338,045,635,670,415,487,476,839,472,296,308,181,093,133,097,256,265,082,171,
208,482,598,949,175,135,951,639,089,555,703,829,866,906,748,690,583,496,722,
414,388,279,069,399,187,320,640,627,725,002,294,016,694,094,126,518,568,479,
392,208,134,728,293,274,910,893,107,262,514,342,227,879,853,685,103,818,525,
080,653,612,450,167,144,064,469,145,523,901,467,139,622,411,749,277,791,764,
253,382,314,940,889,413,215,100,388,206,105,316,008,645,050,025,618,693,022,
959,515,230,409,321,063,580,876,918,737,001,237,080,374,308,328,965,449,544,
674,092,630,933,031,818,547,192,406,713,439,325,040,818,423,036,250,940,214,
948,753,316,905,505,867,223,173,084,110,888,680,381,353,256,192,977,407,307,
573,368,171,351,134,662,368,473,616,108,846,370,143,068,657,636,602,789,291,
974,521,144,481,107,164,208,042,429,906,660,348,450,366,895,786,974,316,671,
152,153,851,668,874,079,819,842,974,734,535,599,643,525,698,730,356,625,993,
018,663,566,995,715,381,004,375,052,206,718,187,780,001,069,010,948,326,347,
374,270,359,033,465,025,412,245,591,729,186,683,538,130,897,765,361,334,105,
950,142,297,193,051,019,684,993,803,210,404,883,121,417,253,865,619,337,990,
266,836,892,742,366,325,696,345,691,070,664,347,933,667,014,362,494,254,702,
655,132,475,044,404,333,124,153,776,817,004,928,089,604,741,877,879,004,002,
502,609,244,750,886,693,677,327,785,724,326,899,886,438,435,661,228,772,465,
824,491,794,488,603,356,405,204,228,530,937,384,480,626,696,344,132,921,718,
743,938,106,486,789,612,057,383,874,779,045,134,594,964,915,820,423,735,127,
933,889,830,576,471,362,238,261,055,193,849,286,546,512,652,685,833,558,248,
951,734,912,733,408,356,385,147,544,600,828,052,798,374,430,352,797,183,741,
466,391,534,727,509,020,707,544,312,141,892,077,314,166,822,094,697,724,514,
909,292,938,901,994,576,411,255,057,509,008,852,364,286,539,264,298,241,766,
199,114,711,869,365,315,728,230,466,554,238,268,207,603,599,898,474,527,053,
398,410,515,607,853,957,687,341,809,673,430,652,335,211,452,187,046,324,210,
715,493,502,299,756,780,896,278,494,562,949,836,200,978,559,281,001,750,932,
363,289,077,872,366,908,432,579,438,324,507,044,757,763,230,213,727,171,913,
059,605,191,841,640,394,700,456,981,423,347,098,538,219,737,934,444,210,574,
507,986,161,852,439,817,136,311,190,098,986,670,643,755,326,608,968,816,403,
154,126,483,999,163,496,971,927,652,931,692,034,455,938,413,667,094,233,822,
819,304,715,486,608,632,468,468,173,429,158,750,443,134,968,018,403,620,344,
502,876,149,739,382,977,359,873,294,927,219,583,311,454,116,837,763,504,920,
253,546,955,150,560,378,992,145,430,784,024,092,553,511,017,235,654,371,929,
054,944,637,641,643,352,690,653,468,826,231,923,369,163,556,555,516,404,104,
208,607,545,586,274,400,199,625,506,347,302,812,030,710,793,595,292,306,366,
949,504,613,603,985,209,849,237,758,353,180,117,892,669,656,291,591,337,686,
240,463,476,149,750,523,704,906,792,135,543,629,312,533,305,301,074,223,700,
866,954,739,485,216,523,360,520,500,592,937,725,486,624,621,920,115,314,385,
855,060,380,531,405,860,088,816,485,096,494,475,151,386,436,460,184,725,668,
175,098,813,631,927,129,652,178,697,390,077,613,300,209,340,221,205,002,377,
952,422,571,482,712,241,131,532,732,183,042,200,749,018,965,012,089,385,615,
031,504,097,362,334,178,859,795,673,890,882,439,177,370,607,979,768,044,355,
643,884,914,184,548,213,209,139,112,900,523,589,975,660,891,711,692,402,780,
891,233,175,597,591,622,337,977,937,265,117,545,241,643,580,684,110,313,063,
232,859,287,262,001,077,788,899,150,623,156,100,205,227,140,206,851,073,918,
340,348,931,997,550,648,667,042,640,393,433,372,492,486,622,675,774,460,016,
536,814,685,058,425,371,586,235,432,332,552,978,748,868,127,075,029,071,371,
809,787,826,870,667,689,371,148,105,246,002,870,642,694,875,780,173,778,092,
379,352,908,717,864,738,454,419,268,573,186,338,703,935,417,669,962,263,595,
113,767,880,988,941,644,514,390,944,942,238,109,342,582,004,020,402,303,885,
936,562,211,765,790,432,794,576,336,545,326,979,501,794,302,345,972,904,532,
569,539,770,566,389,495,339,999,823,790,413,700,462,219,676,369,930,279,668,
510,023,588,031,906,337,051,310,506,739,043,377,983,871,925,033,100,308,896,
868,229,288,752,974,938,851,086,293,958,103,404,395,275,938,206,313,539,998,
727,467,679,474,864,714,381,887,165,975,188,963,923,326,798,788,835,504,472,
428,603,835,841,601,627,282,190,814,367,903,948,776,161,420,126,934,864,310,
192,738,436,860,531,321,192,717,449,088,046,455,752,179,472,863,460,246,930,
384,589,410,138,080,935,339,494,465,209,347,950,015,608,836,937,860,385,383,
461,933,003,165,830,084,798,178,969,485,170,925,995,002,312,317,204,938,062,
984,706,483,571,462,725,149,782,902,192,878,195,342,574,507,746,507,980,440,
989,737,011,140,292,591,555,822,603,092,168,169,935,002,053,174,853,831,792,
532,335,593,719,937,558,469,915,958,648,821,920,933,134,133,754,775,554,950,
836,561,524,484,365,473,492,912,910,595,835,526,123,519,008,056,283,144,127,
104,992,658,095,408,025,735,926,226,782,588,653,006,439,438,419,327,008,893,
228,110,877,314,787,050,556,167,673,438,330,831,623,473,819,042,327,125,167,
882,747,754,095,099,496,152,699,215,259,210,241,177,894,488,069,556,686,026,
602,243,981,866,837,818,988,051,073,322,102,806,335,892,679,732,560,156,673,
085,606,971,419,959,804,389,399,456,035,988,789,820,432,956,587,988,563,971,
997,628,647,932,206,230,891,733,060,245,308,214,323,460,082,715,021,014,174,
945,143,757,895,117,133,622,526,825,173,661,619,339,659,657,284,347,222,685,
430,281,641,546,810,700,951,546,015,725,970,576,691,679,884,226,920,457,786,
673,673,084,069,175,281,602,084,350,428,266,034,739,980,573,502,010,364,260,
262,226,655,209,694,476,645,683,948,676,020,494,185,070,784,965,144,463,266,
477,291,602,767,687,174,175,619,053,695,725,862,000,467,508,858,522,731,116,
659,066,435,535,480,400,875,638,976,826,997,284,879,883,048,249,258,303,873,
702,572,462,735,023,240,608,586,567,179,952,914,324,841,868,920,710,178,746,
239,175,252,372,041,174,124,187,660,264,300,846,612,921,946,703,160,620,605,
596,661,984,833,721,505,085,496,011,936,625,764,775,282,588,100,873,095,002,
085,375,588,874,273,929,851,756,185,227,446,683,045,832,431,684,670,644,723,
608,548,975,450,368,622,200,237,299,891,522,559,871,892,576,083,193,986,267,
016,529,520,043,697,176,574,843,851,242,797,049,172,213,532,115,679,288,674,
872,136,558,219,043,763,397,790,761,901,522,078,015,838,496,573,861,698,831,
836,170,140,709,080,183,125,112,385,013,615,044,337,591,065,992,554,990,810,
988,929,260,403,533,402,659,125,278,335,357,121,217,492,165,947,065,007,512,
234,742,681,983,851,024,097,553,087,207,866,609,168,033,009,131,170,807,234,
140,141,335,985,263,555,002,056,929,532,456,316,104,658,469,895,409,957,193,
689,964,928,663,356,345,703,225,497,082,294,079,814,915,157,606,521,403,575,
975,508,566,542,562,209,526,461,748,208,170,199,707,696,033,570,865,324,298,
338,215,116,938,765,957,491,702,452,780,635,079,402,486,603,408,049,563,744,
421,295,794,546,844,938,458,246,401,096,548,986,913,358,483,462,916,737,332,
529,317,655,081,746,764,543,309,920,353,849,689,029,420,447,933,553,150,285,
529,806,138,961,977,040,141,997,991,983,270,241,030,745,139,717,925,834,945,
847,390,161,867,617,849,383,824,332,786,252,513,026,548,695,440,315,452,188,
198,012,520,475,528,118,610,250,549,490,855,276,951,339,207,785,023,094,060,
653,255,256,654,530,416,105,095,772,347,516,854,206,922,148,289,797,838,182,
735,338,458,899,446,181,198,037,308,245,108,053,851,649,176,875,650,278,828,
526,066,311,328,760,576,149,144,896,914,749,572,058,132,601,885,044,567,559,
484,844,164,130,196,438,940,626,581,333,389,076,787,424,824,949,428,415,356,
665,688,093,326,694,413,246,229,246,636,922,098,900,312,586,591,136,148,503,
357,688,619,002,767,291,105,351,110,381,151,628,528,274,226,537,683,006,422,
293,728,121,736,931,761,283,350,374,784,350,083,884,481,603,994,011,931,251,
202,470,822,105,016,654,545,225,898,703,691,588,476,933,154,436,859,189,526,
380,338,022,725,865,939,215,649,736,852,636,675,837,357,157,170,932,491,361,
672,332,591,517,301,705,328,345,143,229,534,296,921,262,118,123,944,011,171,
011,819,736,404,145,338,890,378,542,238,675,944,973,933,259,333,606,514,909,
744,339,506,246,060,252,468,513,055,099,385,260,164,877,161,336,053,437,567,
675,064,192,778,236,292,363,856,694,000,540,340,096,582,909,892,481,154,469,
831,505,892,561,748,518,250,666,471,823,477,074,678,324,833,148,785,638,021,
722,865,787,785,166,482,524,243,270,144,960,863,124,789,248,627,210,964,211,
856,432,651,450,060,397,608,580,886,998,542,519,468,000,594,584,420,856,084,
064,669,010,854,322,055,819,045,040,741,383,796,399,991,611,864,809,140,648,
947,277,868,599,816,594,277,577,430,562,532,162,283,910,411,737,024,330,424,
325,839,945,263,448,936,294,149,367,336,112,266,239,688,090,561,408,299,916,
773,377,288,824,428,260,825,886,296,152,046,046,196,997,784,932,791,162,849,
575,933,134,561,269,740,950,950,460,904,702,271,273,955,989,496,507,977,915,
012,489,621,145,340,060,491,313,597,132,355,208,313,484,099,751,312,157,735,
484,671,594,217,388,901,417,256,874,480,564,337,172,228,960,578,881,189,960,
826,701,201,929,687,115,047,087,833,270,453,570,417,254,660,985,577,135,749,
305,769,157,217,343,601,326,177,711,651,796,888,692,268,301,074,332,968,944,
932,840,819,237,779,736,489,095,263,420,113,483,128,899,126,691,050,543,195,
322,215,891,668,916,667,909,706,308,569,561,632,519,331,064,347,113,968,163,
873,469,910,604,287,131,039,956,150,582,365,063,502,898,654,474,543,117,451,
120,268,004,710,015,558,849,847,360,133,187,525,606,572,555,526,099,762,133,
026,291,008,178,031,062,339,748,451,991,521,683,910,874,896,053,871,420,404,
401,988,108,138,921,871,099,182,242,405,492,973,859,002,694,786,261,447,381,
174,926,290,116,665,175,477,871,257,967,478,984,597,971,105,951,400,954,800,
315,119,575,405,964,863,070,005,205,260,111,746,508,634,812,696,558,783,522,
985,140,996,971,113,767,898,245,051,685,058,534,106,233,438,401,455,892,352,
307,737,867,517,929,952,440,036,500,011,097,399,322,991,698,926,179,824,081,
588,665,506,443,650,529,731,356,968,749,926,010,913,779,862,933,927,611,018,
109,648,172,462,238,631,791,243,601,433,960,649,623,401,268,332,553,932,800,
565,190,710,865,274,017,867,209,295,804,158,926,364,991,326,650,811,673,635,
301,560,996,327,251,680,438,519,143,160,621,864,237,177,623,195,097,266,720,
981,534,406,548,376,628,966,967,489,427,081,897,434,174,880,179,776,985,288,
655,584,463,913,868,039,606,668,322,207,766,535,669,769,060,313,428,360,322,
323,097,388,304,073,929,383,513,294,528,053,075,668,802,707,524,297,025,933,
308,059,395,676,566,175,350,887,855,358,182,544,706,958,506,679,419,135,315,
666,025,267,289,815,013,346,801,792,750,971,382,047,409,671,784,138,014,869,
343,109,174,760,086,981,621,825,206,386,386,300,714,582,498,727,911,197,141,
886,562,632,669,825,604,763,510,019,934,989,579,972,630,506,801,269,550,486,
072,454,926,789,825,995,402,933,714,780,221,521,491,266,369,589,044,171,392,
075,766,193,289,616,391,917,487,523,721,537,364,896,299,558,098,047,310,152,
967,883,436,185,882,745,611,897,841,758,524,946,539,253,945,267,145,428,741,
652,535,744,342,208,962,407,874,720,256,873,042,850,012,552,708,169,556,171,
207,281,902,881,184,259,343,584,540,394,115,374,163,996,426,784,272,933,683,
731,330,317,699,843,566,791,410,795,281,691,743,274,920,596,498,860,923,776,
116,408,112,904,830,003,742,603,764,479,778,420,718,109,303,568,119,287,701,
105,130,154,818,672,419,300,756,490,626,473,984,307,834,627,940,677,639,317,
940,458,259,081,579,761,985,296,150,684,579,215,314,644,594,377,687,108,428,
515,545,908,989,630,844,784,298,711,953,952,288,014,205,975,373,089,509,499,
522,142,606,609,497,106,543,445,605,544,095,684,403,130,936,029,422,832,020,
238,304,897,699,001,782,476,835,568,475,954,688,058,065,102,781,210,697,971,
890,498,581,068,522,317,864,811,715,124,153,214,213,501,597,142,477,758,594,
110,472,562,672,702,008,721,544,855,371,190,979,003,365,599,585,569,267,700,
644,106,087,974,255,044,454,364,424,426,056,571,622,244,909,541,810,992,480,
805,775,327,997,993,656,844,135,917,415,840,209,673,247,051,929,909,245,916,
966,268,999,458,384,052,452,213,056,843,941,251,106,900,307,971,747,348,056,
247,032,410,271,337,601,202,710,367,516,511,609,206,311,964,252,207,906,171,
860,048,230,475,676,671,585,073,963,259,629,378,540,880,467,698,108,855,655,
807,828,418,722,992,700,216,500,384,006,089,894,212,838,544,206,357,134,247,
884,250,549,155,636,073,015,820,803,622,222,518,332,265,647,499,423,206,020,
429,209,118,631,709,010,544,703,382,473,888,361,110,310,646,862,320,058,514,
996,901,510,418,106,649,881,005,824,935,115,402,018,603,544,602,589,756,182,
404,951,584,654,023,757,147,090,989,371,520,438,683,644,102,872,211,516,104,
253,814,740,643,946,724,502,101,730,320,684,692,427,148,943,395,450,334,472,
550,378,870,061,323,729,168,420,950,697,922,691,063,518,602,888,777,292,491,
974,639,041,581,902,932,740,290,981,033,209,440,104,370,400,444,348,003,359,
771,182,257,623,524,274,120,580,428,444,957,820,428,088,087,341,406,247,937,
860,153,694,425,884,529,358,284,740,403,855,872,127,739,640,926,285,080,656,
090,886,057,753,229,537,316,957,852,575,714,705,497,080,274,009,647,543,544,
777,136,986,053,669,100,176,166,079,942,733,954,229,072,465,424,691,984,568,
980,972,989,072,910,942,643,135,679,687,314,787,481,392,723,542,482,161,488,
105,827,039,143,567,672,332,733,927,279,546,121,638,297,165,269,648,738,837,
134,297,600,630,036,866,649,539,386,601,817,568,191,739,139,461,164,631,778,
669,841,261,739,864,318,635,654,038,273,700,694,749,588,950,554,642,621,211,
122,558,366,170,903,194,424,570,800,613,277,698,344,120,271,095,602,421,149,
434,546,088,248,092,000,654,236,537,076,294,638,805,124,722,009,566,538,593,
823,457,826,954,488,660,714,854,272,195,564,834,209,153,665,149,632,509,619,
930,855,570,073,138,215,810,561,464,793,673,853,720,979,375,001,111,833,547,
662,308,921,239,607,103,992,299,056,822,554,310,882,804,211,378,248,773,833,
691,474,006,496,417,995,307,069,661,902,566,479,009,794,696,538,140,907,560,
173,070,088,076,501,332,783,992,872,589,732,710,519,725,359,850,164,414,711,
186,500,263,160,834,746,864,678,986,855,828,614,063,935,521,239,575,278,631,
139,111,564,589,016,701,022,475,479,620,344,285,653,994,681,212,378,533,839,
043,861,207,014,993,454,113,372,826,092,213,371,696,120,174,766,329,703,554,
953,993,103,277,566,569,292,278,298,835,996,127,995,081,437,256,463,504,938,
090,385,097,405,643,410,545,197,050,978,298,691,300,467,389,779,584,270,786,
469,516,026,897,171,360,960,918,834,249,104,989,411,058,761,905,943,020,978,
711,787,356,004,847,130,904,992,994,863,252,779,407,530,392,341,640,578,602,
349,583,073,887,968,944,812,673,673,519,516,985,992,508,823,793,262,909,807,
575,962,302,814,136,088,054,269,565,984,429,621,540,693,136,861,335,544,878,
886,089,664,391,324,894,221,207,149,530,334,629,008,470,815,791,765,857,670,
591,146,889,408,957,380,903,664,860,951,904,385,712,154,137,519,011,074,633,
562,423,045,242,517,171,680,287,800,454,523,486,826,411,332,840,824,750,783,
460,176,208,807,344,508,136,248,191,751,715,084,840,410,609,468,952,589,878,
072,799,108,341,174,421,149,825,582,151,503,297,009,081,371,626,835,707,608,
826,071,693,603,088,432,846,355,145,897,569,968,505,133,461,313,574,131,845,
846,305,240,652,286,324,634,432,310,026,267,045,139,487,070,430,068,117,018,
560,483,652,440,809,990,767,145,556,454,016,853,505,070,024,034,722,387,814,
114,363,462,449,149,011,988,810,941,037,678,505,998,560,322,342,199,102,674,
110,558,971,405,939,369,209,305,428,649,000,562,792,452,443,338,548,233,187,
801,154,526,883,681,844,764,825,239,414,984,414,278,233,366,872,498,529,506,
347,225,704,475,004,394,761,758,635,238,686,710,393,558,086,330,865,963,606,
834,395,369,684,336,745,307,585,510,721,098,982,038,555,115,599,920,316,130,
954,712,353,847,004,433,731,913,579,649,842,200,778,092,096,225,814,143,911,
220,385,253,963,048,768,629,157,574,927,284,075,940,307,940,456,958,899,615,
653,288,681,833,038,542,544,902,392,899,293,546,598,313,427,357,735,743,644,
717,193,937,918,716,145,368,034,095,981,822,269,727,078,662,547,990,544,846,
075,106,584,603,454,080,620,280,367,512,565,159,263,527,394,101,412,105,897,
743,087,653,500,939,669,666,564,881,468,927,979,434,657,344,486,544,246,569,
590,930,814,118,673,126,462,550,549,503,987,494,192,355,926,506,634,247,177,
020,449,205,155,546,217,594,521,218,424,732,860,929,977,608,446,691,764,669,
302,717,221,670,047,104,029,480,855,724,575,352,698,132,722,495,698,611,685,
731,141,903,475,420,197,734,402,266,598,104,287,893,123,886,919,200,010,638,
635,235,707,660,338,964,163,274,237,310,791,185,769,494,821,080,910,449,305,
546,663,947,471,223,989,742,952,027,698,426,668,464,560,339,092,472,066,424,
703,126,543,585,204,254,421,048,505,102,918,209,876,702,923,593,388,321,928,
308,424,991,699,968,698,041,970,938,291,508,047,963,623,204,428,981,608,628,
093,944,152,206,944,444,701,957,243,425,667,571,262,510,380,628,339,526,714,
970,443,246,502,987,386,332,338,035,727,027,892,863,449,292,352,452,196,138,
682,548,302,262,047,182,856,318,108,498,441,688,795,978,728,391,182,109,684,
936,085,431,460,956,456,533,181,453,543,891,123,030,572,934,213,099,138,260,
174,597,615,664,479,184,030,478,458,793,166,572,334,658,435,876,691,353,204,
943,110,830,661,873,890,664,504,304,450,188,369,522,964,860,862,748,067,595,
425,835,971,611,456,775,954,921,306,563,318,743,587,619,468,595,347,122,700,
677,863,875,132,222,386,685,692,873,783,834,391,844,308,192,844,601,654,606,
673,362,312,308,240,508,541,136,836,909,219,607,586,771,219,033,687,708,555,
054,946,198,498,087,156,399,446,307,105,202,889,914,168,823,355,988,894,540,
305,941,640,218,425,311,643,947,059,199,890,126,801,639,505,501,160,470,453,
645,123,052,425,237,534,884,218,958,927,011,414,555,396,938,666,833,959,623,
516,143,237,680,068,940,049,074,404,422,782,801,299,438,736,959,169,451,313,
575,077,225,826,834,142,350,472,533,471,674,830,452,052,606,260,459,190,495,
536,129,354,783,669,811,285,123,724,719,555,224,873,197,354,718,124,715,126,
664,893,984,289,746,600,433,670,081,803,769,373,489,942,030,115,374,161,978,
194,051,536,781,429,176,955,571,421,004,030,436,057,996,866,007,826,611,668,
285,279,681,232,343,175,951,726,848,166,196,506,549,325,146,131,836,547,661,
796,128,016,265,855,062,667,491,338,204,786,090,077,131,378,686,612,486,016,
173,816,199,405,005,651,764,354,269,800,777,613,271,783,670,325,394,374,809,
751,921,809,918,155,528,719,200,809,835,118,588,361,210,577,165,604,619,437,
658,798,018,700,929,714,974,082,050,893,939,421,483,625,136,564,506,377,408,
569,253,706,158,179,946,264,125,088,395,421,456,003,554,132,053,788,949,904,
492,620,571,090,860,672,380,881,030,916,857,353,794,688,459,053,415,284,921,
754,110,131,750,276,782,782,223,888,156,670,742,322,633,543,451,360,427,625,
518,786,873,711,629,590,096,224,647,847,824,897,757,007,192,585,684,374,917,
164,920,451,453,235,188,261,983,014,731,627,506,865,954,021,902,056,758,948,
701,083,466,228,847,587,100,220,163,184,345,025,157,975,738,479,940,506,417,
612,975,229,933,177,233,102,840,948,374,125,328,329,002,597,979,266,445,347,
023,794,189,356,688,257,615,589,772,574,741,603,101,508,726,886,719,297,875,
568,695,442,539,665,825,179,876,128,814,818,076,641,203,062,327,640,332,777,
157,983,057,536,457,071,260,807,706,076,060,546,837,935,988,729,560,890,390,
404,486,532,044,483,673,944,385,212,803,198,856,854,306,904,791,403,112,542,
650,713,839,008,813,692,250,453,985,841,347,545,648,828,310,858,798,269,603,
911,852,244,154,350,482,125,026,285,537,644,176,356,707,616,562,589,167,930,
377,699,435,634,423,428,138,336,231,665,713,882,187,189,580,851,423,732,734,
577,975,470,793,255,434,884,902,777,587,549,260,643,168,080,798,983,310,999,
327,255,499,412,167,626,454,215,034,689,200,285,338,443,399,653,608,819,862,
033,091,515,856,259,119,312,234,897,527,806,188,963,255,235,562,845,995,111,
937,951,308,739,784,080,459,172,716,474,503,176,355,332,810,235,132,336,244,
504,150,699,217,077,675,664,928,128,616,472,314,692,507,060,517,953,727,423,
405,707,524,185,340,592,270,349,290,890,928,973,892,147,178,395,582,698,281,
148,739,520,118,022,228,564,401,896,397,530,841,598,202,083,221,354,670,483,
132,395,832,399,034,155,919,250,825,902,137,203,997,693,983,796,318,529,594,
384,167,340,881,922,626,755,769,068,673,758,284,728,037,880,081,670,935,857,
951,277,232,178,225,465,219,004,198,749,326,787,181,914,504,002,305,692,400,
739,839,853,173,227,158,256,615,499,301,393,705,304,954,029,020,232,489,134,
598,735,087,961,209,128,180,307,023,192,010,823,466,031,416,614,226,230,555,
835,573,417,296,715,413,418,481,847,873,987,427,611,082,778,473,983,299,658,
677,236,771,646,905,423,231,938,307,155,923,700,886,349,004,830,083,134,754,
768,747,325,934,663,896,938,633,041,012,837,555,180,837,730,556,788,436,608,
224,123,354,447,917,145,398,136,320,464,822,272,626,704,947,664,246,096,164,
167,635,391,391,418,141,547,022,542,170,453,570,293,606,033,186,472,799,674,
682,530,767,296,803,274,110,992,812,357,439,975,714,222,373,656,336,374,045,
201,899,158,685,069,701,066,650,495,384,646,238,211,285,883,029,278,523,337,
910,097,158,474,157,924,239,427,862,837,784,087,077,314,245,413,615,309,389,
364,964,041,664,063,113,119,766,019,206,906,220,985,603,396,678,979,830,056,
045,670,545,280,901,232,930,850,581,038,205,197,477,728,378,794,494,199,935,
865,484,366,561,869,977,304,968,490,568,044,860,719,479,980,431,135,489,959,
723,777,303,403,570,742,633,115,722,384,942,227,106,458,949,986,588,586,694,
907,586,239,803,716,585,893,206,375,490,207,900,127,807,010,646,270,228,367,
866,312,439,788,847,038,377,083,524,219,711,782,606,929,091,540,895,363,863,
441,581,578,222,215,669,683,456,260,139,463,542,457,511,240,570,275,775,533,
162,232,930,805,894,957,439,905,786,102,160,992,838,032,242,248,197,580,902,
908,896,515,075,962,218,876,421,698,342,664,123,610,669,981,181,148,577,765,
863,672,940,838,669,908,453,380,200,773,934,885,388,450,857,358,898,861,248,
897,596,660,488,635,750,425,518,851,689,825,284,147,635,908,766,389,144,025,
653,384,550,528,998,912,158,573,814,386,923,718,118,710,011,283,535,590,487,
641,232,316,174,870,224,710,521,645,956,498,693,762,369,677,845,777,947,355,
929,300,787,968,771,520,573,556,025,771,579,827,266,044,177,893,700,780,628,
986,804,222,121,692,906,609,708,864,939,669,919,720,527,320,457,180,716,015,
472,585,459,783,798,209,374,498,026,939,138,085,309,237,826,587,957,861,281,
656,552,249,285,816,057,212,785,240,420,062,456,876,290,125,093,217,006,548,
955,032,326,786,464,798,082,696,471,886,689,484,645,691,849,609,614,196,045,
638,246,349,669,194,000,668,186,566,086,179,206,868,292,454,235,092,662,991,
105,800,383,792,191,935,310,037,077,497,910,559,977,649,619,260,296,460,404,
752,490,915,135,880,522,792,425,886,337,024,327,716,045,719,887,594,198,299,
986,019,708,398,768,663,499,503,353,997,520,881,131,721,359,274,875,393,021,
676,932,376,454,496,738,541,685,113,213,459,902,340,355,720,741,351,636,399,
371,299,608,342,168,177,047,352,772,486,314,752,480,747,172,180,075,890,392,
241,288,047,015,317,547,762,292,151,686,760,201,008,676,342,469,875,543,226,
529,859,185,231,418,817,121,317,067,476,545,661,260,379,104,347,725,871,954,
961,877,172,907,893,106,490,132,307,624,394,998,574,720,639,154,863,316,876,
992,955,413,624,090,057,397,789,956,696,887,424,655,622,983,033,291,954,577,
108,305,047,207,158,496,876,778,512,917,832,829,046,106,815,817,109,358,012,
508,270,475,282,138,223,629,259,749,661,117,693,184,741,684,320,744,155,152,
763,434,130,598,452,980,731,145,824,785,986,104,907,228,027,171,245,240,023,
440,433,087,093,187,193,193,277,072,453,137,552,335,527,421,851,314,139,026,
405,320,113,321,769,190,123,725,977,639,735,087,503,291,426,281,512,074,049,
680,649,941,596,252,164,118,959,490,184,355,209,102,990,274,246,896,027,683,
882,993,856,261,534,261,171,888,120,985,143,264,965,875,180,444,700,351,738,
214,321,563,201,120,665,970,322,480,941,206,989,926,273,371,828,304,214,986,
945,232,390,306,236,812,340,771,473,537,968,545,087,641,559,993,152,474,430,
442,948,027,924,396,274,755,645,932,127,151,845,451,002,045,471,521,174,061,
066,459,912,031,715,090,484,637,602,078,090,928,767,617,731,494,304,323,927,
626,524,450,266,816,332,103,405,889,986,522,898,078,209,273,333,846,567,293,
774,133,985,011,966,223,384,699,355,759,870,585,321,004,707,656,526,044,275,
532,392,881,792,522,926,703,627,481,786,393,109,115,750,457,925,146,168,527,
117,532,196,731,609,722,304,595,219,698,096,048,844,971,545,951,578,769,411,
514,655,900,357,441,421,527,944,036,481,443,973,623,182,185,618,207,178,073,
050,643,077,871,218,144,228,999,861,259,764,810,491,391,706,301,230,331,798,
908,656,076,166,730,904,604,076,270,441,129,284,721,801,605,003,312,619,009,
988,598,554,389,599,914,943,259,358,719,065,234,125,397,209,774,811,833,638,
108,738,324,285,874,472,972,966,807,944,553,638,323,037,247,426,820,876,703,
024,219,423,676,856,678,636,412,728,805,555,861,898,486,054,330,797,098,539,
830,652,916,554,223,936,280,632,625,741,486,867,809,850,525,682,292,365,108,
062,177,238,156,164,915,608,022,124,990,414,584,527,793,431,178,902,528,834,
832,688,438,848,141,325,169,122,910,457,751,993,010,710,159,664,207,765,483,
878,962,165,028,537,375,898,499,258,524,684,612,652,569,691,261,479,367,137,
714,199,778,745,730,371,827,453,450,412,383,706,055,249,768,241,847,921,490,
161,713,767,092,039,102,653,311,832,114,836,006,568,252,178,607,776,965,729,
286,587,872,034,229,331,757,894,277,992,729,406,070,539,066,421,089,767,226,
946,093,012,829,160,877,584,685,898,611,103,704,213,249,730,315,361,602,018,
052,334,700,903,317,270,778,556,762,961,266,693,042,231,651,025,742,465,653,
085,771,867,035,467,371,244,457,046,538,937,906,842,294,742,861,542,329,897,
450,942,617,140,531,170,315,682,520,866,091,109,217,977,225,127,034,374,138,
931,183,139,955,989,096,406,163,378,294,176,646,893,106,647,707,533,123,695,
521,628,740,558,729,538,825,629,312,934,457,512,018,607,782,180,754,133,652,
272,184,945,714,113,126,480,269,601,945,781,236,271,162,604,833,248,262,339,
483,373,092,256,434,306,409,106,056,705,470,535,197,880,029,241,532,443,180,
410,987,151,624,063,797,626,105,220,589,696,864,224,762,587,818,241,526,476,
686,352,516,032,756,036,840,746,278,010,258,749,534,770,870,366,783,653,899,
255,426,607,101,195,952,502,621,075,463,323,472,776,773,593,446,088,056,653,
533,786,710,699,597,945,474,112,069,858,160,822,504,033,558,472,617,910,926,
787,504,849,630,701,876,569,631,737,146,332,161,930,300,253,856,699,024,580,
989,248,750,701,258,880,658,556,056,428,437,483,052,999,954,948,716,033,273,
978,685,294,007,721,644,731,862,212,613,761,169,378,057,461,362,797,534,773,
135,990,161,257,291,183,027,964,028,166,857,015,109,855,018,545,895,041,545,
681,019,678,389,102,820,594,409,305,799,407,587,230,967,522,885,843,573,470,
664,064,531,414,025,421,349,283,322,536,575,698,875,940,953,147,823,946,513,
934,709,943,107,219,405,071,863,110,400,996,770,080,357,002,658,496,503,680,
911,712,218,774,808,238,713,924,415,136,442,928,531,475,122,965,565,067,651,
790,365,341,612,721,767,173,098,009,335,149,965,892,936,408,312,058,627,236,
448,753,962,047,704,982,128,859,527,569,993,070,546,276,375,786,834,340,902,
979,492,024,676,453,843,825,872,671,873,134,917,556,679,196,215,022,348,238,
170,305,823,370,801,225,454,350,698,856,257,925,533,647,228,021,563,038,577,
193,219,342,481,967,852,096,832,432,820,500,341,103,985,264,398,878,574,221,
613,400,525,546,080,090,972,847,286,510,143,901,456,391,212,991,088,656,836,
077,648,124,151,922,638,287,729,386,386,512,559,840,628,729,950,066,657,904,
833,348,644,222,131,369,708,925,548,236,925,159,574,357,097,658,510,801,922,
251,508,401,986,568,140,991,594,983,918,388,329,742,981,467,579,024,389,917,
293,975,732,962,231,486,801,915,286,337,530,925,264,889,889,350,916,561,124,
535,003,889,562,875,870,670,299,259,514,207,693,183,569,253,272,583,038,098,
590,240,480,937,279,274,001,750,065,813,373,545,049,823,225,921,706,297,125,
856,212,942,231,875,003,792,116,851,627,802,385,280,405,639,793,757,341,198,
230,441,959,419,744,345,058,803,205,866,465,244,515,775,214,632,966,186,758,
592,660,916,323,875,051,370,631,645,350,284,077,606,125,555,049,680,051,823,
341,472,714,375,728,460,022,138,787,828,514,487,574,382,990,749,734,593,382,
890,009,235,104,966,468,055,384,122,733,513,682,226,893,575,863,582,479,466,
114,666,998,662,278,259,742,507,899,885,054,712,910,980,563,355,907,185,906,
389,200,016,049,255,053,591,869,427,689,928,658,028,323,464,558,763,629,683,
273,566,645,312,378,210,011,897,676,564,226,970,742,326,861,353,467,028,014,
447,074,366,981,869,760,273,697,666,241,273,132,228,412,770,845,977,956,730,
281,460,397,280,510,819,289,588,572,465,450,596,228,138,103,642,451,497,851,
326,895,047,395,200,414,671,148,860,329,422,528,757,777,006,737,759,287,498,
536,525,491,107,511,023,051,594,011,151,357,894,301,125,670,802,720,493,442,
774,612,084,405,451,653,679,224,741,416,319,546,447,200,403,163,262,554,966,
044,714,141,289,611,120,420,710,501,516,576,312,236,425,792,186,717,904,462,
826,261,918,702,346,434,393,893,624,920,549,100,583,374,643,338,789,574,596,
968,510,009,976,717,003,064,487,108,378,385,186,406,418,633,622,481,174,811,
185,022,410,022,286,428,506,631,804,576,258,651,960,340,958,229,603,704,367,
701,933,403,916,632,687,558,919,383,792,049,042,780,547,532,720,478,567,084,
853,030,876,656,382,428,702,023,353,049,193,682,822,927,371,056,744,929,238,
827,867,227,770,975,010,458,226,069,702,431,985,523,380,079,861,762,470,341,
024,540,412,119,302,032,782,580,777,522,446,840,666,429,865,652,888,814,254,
740,455,389,466,108,623,730,164,342,633,402,516,066,009,188,016,674,653,287,
926,966,151,844,826,187,837,644,853,543,181,969,718,255,659,368,178,900,390,
311,303,138,613,904,024,570,025,988,191,671,194,852,319,837,947,326,510,980,
980,587,997,883,797,740,196,563,719,405,970,847,084,866,611,663,514,435,694,
253,444,031,650,979,711,881,781,134,289,933,113,936,715,348,417,246,229,995,
309,373,623,386,295,685,381,509,786,366,016,443,570,273,338,544,983,211,974,
662,379,564,657,695,037,352,997,221,726,279,616,307,868,775,064,487,489,105,
214,829,227,883,845,646,970,770,488,145,343,050,251,858,807,564,670,452,141,
562,543,911,316,443,324,269,522,624,590,415,120,906,017,816,823,222,095,152,
982,535,751,970,558,886,843,826,423,532,450,905,479,609,820,625,015,004,738,
887,584,393,996,490,576,062,218,410,828,129,844,969,750,797,287,824,616,997,
519,846,248,866,601,460,775,636,451,257,621,767,794,979,120,093,778,609,345,
144,398,726,000,358,698,658,832,852,287,821,027,230,833,786,554,731,054,790,
190,417,567,028,157,465,687,023,314,524,910,447,875,937,390,166,945,435,294,
204,768,917,122,987,123,825,000,241,985,734,928,338,126,781,098,806,681,598,
415,919,564,643,537,178,170,959,232,151,509,661,526,967,189,349,038,822,601,
554,704,027,966,540,262,188,903,115,851,367,469,688,203,174,856,182,411,205,
984,911,176,047,517,126,551,560,429,396,168,236,581,553,197,219,613,540,965,
917,109,147,509,551,204,687,911,561,438,200,798,105,596,557,112,538,303,780,
899,709,484,581,156,826,751,869,957,022,164,310,747,126,658,129,827,033,224,
420,080,107,457,287,025,301,675,190,291,180,022,411,722,502,503,069,985,008,
034,711,688,225,137,682,622,630,844,299,315,466,282,151,320,649,393,535,574,
926,609,298,911,273,735,099,405,006,984,129,217,663,394,660,163,550,861,649,
130,196,193,380,931,837,027,750,602,504,933,099,162,732,755,457,997,839,737,
783,655,586,453,865,068,535,050,662,163,410,022,792,021,003,745,418,609,102,
456,578,872,195,181,245,699,952,884,573,976,579,863,951,856,818,435,153,905,
194,777,036,565,527,785,339,976,507,094,935,526,986,007,308,215,026,950,822,
851,822,065,422,611,953,413,758,338,319,857,405,094,303,396,328,260,218,603,
331,714,035,824,700,357,318,281,919,025,430,163,193,628,579,995,484,221,666,
659,536,971,896,641,323,435,204,300,745,207,498,979,921,137,974,215,646,674,
990,816,208,467,149,981,329,849,775,661,563,443,732,272,454,813,585,932,942,
915,925,188,381,985,986,218,374,284,719,024,188,964,151,973,463,371,959,399,
531,722,551,942,606,007,229,895,262,694,120,968,716,248,811,805,827,526,262,
866,702,302,716,873,715,152,184,807,172,277,008,694,753,478,674,883,092,266,
875,179,644,914,355,739,905,065,601,416,316,346,240,068,622,390,780,675,128,
056,713,343,164,722,752,343,508,571,868,624,626,122,094,339,010,416,568,621,
178,706,860,894,632,390,901,566,277,547,031,214,917,786,574,159,838,634,211,
216,223,882,177,706,010,000,196,133,359,101,281,575,642,231,868,837,814,062,
308,403,165,839,719,257,522,747,064,222,944,402,707,080,630,307,995,977,469,
812,661,565,326,017,059,372,214,033,589,802,968,167,400,247,693,262,285,021,
119,646,430,477,368,561,346,789,443,846,889,892,580,487,779,956,856,708,210,
986,782,721,223,419,421,107,392,428,833,089,805,263,245,084,120,747,851,390,
549,107,153,348,412,617,046,109,890,470,428,502,765,866,420,395,060,668,371,
992,246,884,708,554,611,282,398,378,183,864,391,177,480,671,649,979,582,093,
652,212,455,035,537,960,623,491,361,625,928,993,209,088,183,346,705,039,576,
696,147,671,700,866,449,128,180,444,164,214,989,080,180,214,458,513,756,837,
219,369,628,209,036,412,437,173,899,872,230,643,084,257,131,885,704,270,598,
857,868,285,379,827,801,141,935,329,740,525,869,687,867,779,644,159,283,055,
556,661,820,308,234,805,486,676,151,756,307,651,758,736,589,460,895,519,028,
640,260,172,675,354,232,430,350,001,032,098,518,301,610,837,579,837,385,113,
993,819,666,709,573,459,251,462,172,223,661,566,981,566,242,145,975,856,167,
675,239,335,796,173,199,990,703,780,794,445,770,720,166,008,156,153,853,084,
242,609,186,918,196,095,340,638,840,408,569,940,854,447,024,396,299,056,650,
393,575,577,706,487,918,035,545,914,355,568,164,818,050,899,996,446,834,782,
495,476,533,710,361,716,234,209,611,336,610,379,799,042,589,087,595,594,655,
005,508,443,208,453,693,210,020,737,108,158,796,631,681,295,537,020,042,219,
173,182,663,718,222,821,874,465,195,048,307,975,783,896,316,176,514,018,129,
016,295,644,141,176,511,476,815,783,717,390,387,454,605,964,395,232,535,979,
014,762,583,419,702,986,026,380,925,881,241,018,702,346,786,775,814,759,990,
830,596,336,813,631,223,653,716,073,015,215,266,872,684,346,701,560,895,586,
759,601,985,273,778,879,530,647,763,831,625,976,985,750,123,135,983,635,500,
144,038,644,706,420,292,025,529,253,181,119,460,485,573,141,685,454,377,475,
077,163,522,750,033,495,839,962,990,566,218,667,294,608,715,837,408,317,275,
030,240,597,148,834,571,532,711,862,896,313,482,044,784,865,604,819,772,003,
652,445,724,917,145,316,430,703,032,885,793,172,334,209,557,401,611,755,140,
073,468,461,810,833,542,985,191,965,689,306,425,217,191,820,450,339,365,346,
098,597,645,735,139,992,226,876,432,469,625,201,059,137,974,104,753,744,075,
363,012,911,053,735,912,275,561,065,562,106,749,544,851,494,594,060,135,430,
500,116,316,432,111,705,830,575,835,646,797,706,331,022,684,837,604,791,952,
993,157,722,901,826,380,486,889,041,196,015,445,776,221,532,356,693,317,118,
871,693,660,655,909,543,755,931,212,797,140,136,998,108,559,808,030,959,636,
974,928,921,747,463,382,749,448,584,503,240,437,112,855,410,611,516,643,045,
287,170,141,849,241,533,538,881,742,897,465,924,812,652,063,394,736,306,272,
967,834,972,961,947,309,989,546,190,511,315,339,491,706,848,064,189,143,566,
873,565,188,213,619,917,529,234,123,113,724,599,645,795,470,795,553,186,237,
700,656,815,301,459,717,914,455,477,226,488,732,527,579,044,517,129,436,803,
837,603,180,332,132,087,898,930,926,632,830,352,854,800,524,371,350,456,860,
062,954,684,745,562,602,875,035,104,654,695,572,351,033,777,759,701,852,263,
682,610,916,190,931,111,960,595,989,293,781,976,381,913,452,379,568,245,989,
931,705,065,771,875,728,695,404,855,944,345,490,099,942,365,383,081,106,821,
059,435,984,950,772,382,224,867,252,544,819,361,864,141,819,790,540,053,817,
928,513,882,203,240,909,822,733,793,843,117,640,746,305,749,847,334,962,944,
234,261,998,620,428,440,525,091,022,971,037,009,467,537,776,465,286,108,994,
816,562,713,129,283,006,216,616,462,743,733,107,674,502,119,143,745,639,198,
240,304,145,427,280,970,456,211,841,769,093,645,710,462,570,239,910,985,895,
790,624,068,212,315,334,831,014,758,765,504,235,622,502,709,960,715,128,677,
447,343,721,798,525,836,999,882,316,952,791,059,083,315,310,748,031,675,230,
518,392,178,989,728,028,486,520,405,346,564,975,473,850,322,546,957,215,364,
138,734,359,553,389,656,887,716,943,970,613,043,356,043,134,051,409,606,802,
451,720,778,928,447,349,431,599,374,879,753,295,835,513,077,229,673,676,593,
793,912,772,663,317,365,340,600,819,613,918,120,672,673,732,367,838,702,687,
655,018,543,004,680,910,540,503,328,666,885,490,843,652,666,085,969,579,735,
692,820,287,569,006,727,548,225,242,750,948,800,895,263,314,724,376,968,581,
397,115,813,803,477,597,055,770,042,765,959,785,813,569,201,280,922,323,545,
371,109,377,079,986,347,185,775,402,719,133,276,445,099,407,545,547,352,224,
420,940,698,632,070,164,920,557,013,049,399,406,579,801,935,542,900,105,756,
725,265,521,748,290,602,049,511,209,295,761,897,724,621,144,168,974,408,578,
031,430,834,315,219,967,027,719,091,143,197,990,618,771,655,612,876,011,453,
080,276,796,384,346,667,452,409,921,434,034,756,577,762,147,653,719,628,919,
377,763,302,767,690,444,321,317,079,918,977,198,445,632,683,217,739,512,808,
397,305,450,738,586,111,559,554,598,603,693,947,348,332,697,398,402,562,933,
594,909,734,500,230,965,071,343,400,255,633,101,177,553,012,913,217,428,470,
858,528,968,773,548,793,381,356,107,982,056,476,116,111,307,324,394,395,480,
408,374,106,513,307,792,741,767,783,343,561,081,006,290,113,302,777,219,143,
129,790,961,290,741,279,173,840,752,030,984,987,763,281,580,573,632,629,715,
106,082,426,608,430,397,615,910,512,552,625,553,077,237,383,236,552,428,803,
410,926,986,756,510,994,378,616,241,401,844,584,735,813,449,726,202,464,291,
370,235,221,438,019,879,503,762,264,290,843,017,296,789,985,801,294,938,044,
271,706,403,493,219,222,997,958,936,587,104,382,999,108,284,478,096,551,476,
367,285,725,607,196,836,742,954,602,441,396,679,933,050,055,976,633,460,687,
307,018,118,354,581,455,004,712,163,655,357,430,574,526,663,730,180,647,697,
610,148,052,685,273,909,312,603,873,430,535,697,701,082,591,197,420,785,889,
463,724,332,971,909,961,910,776,444,227,522,877,205,746,759,803,856,427,045,
332,678,612,082,760,444,150,340,610,953,236,247,425,785,455,076,134,080,174,
138,068,116,369,051,830,517,113,718,833,537,603,525,890,992,395,435,496,099,
906,374,252,953,787,156,472,084,563,153,480,150,252,143,407,307,664,161,266,
084,774,855,850,489,655,053,200,476,275,771,441,418,412,230,800,882,749,243,
709,753,272,775,853,090,599,596,914,748,952,683,173,860,629,672,603,184,513,
181,865,463,383,630,100,913,258,780,553,238,720,091,448,809,875,619,302,913,
710,591,181,136,685,461,759,779,415,813,585,816,125,149,116,759,612,197,159,
566,256,422,318,165,194,993,929,862,715,921,223,921,831,062,973,811,465,005,
144,841,940,406,516,559,951,651,980,042,805,776,934,140,687,581,681,811,030,
961,345,628,992,955,958,987,975,557,392,943,650,356,499,573,585,625,250,537,
299,655,864,768,798,952,090,872,092,811,020,495,312,562,173,951,085,310,691,
025,324,482,279,273,830,477,613,511,864,519,801,142,954,387,726,749,472,927,
843,449,617,196,182,944,380,604,920,002,341,431,144,212,010,621,201,446,319,
282,622,181,293,658,414,332,375,258,543,406,697,976,380,084,592,582,143,194,
765,576,283,261,150,978,057,740,378,615,028,687,690,336,675,976,080,480,169,
116,954,951,473,856,635,820,090,485,789,854,404,223,034,724,089,185,551,464,
303,763,738,214,852,562,895,475,640,144,629,537,606,128,009,248,783,014,720,
818,306,811,939,939,919,216,192,868,294,321,060,764,778,622,486,167,149,111,
587,984,321,936,069,243,525,646,365,427,381,497,998,514,048,001,326,230,320,
293,958,601,607,589,881,442,569,959,423,502,609,218,449,156,398,082,575,445,
905,328,098,270,197,698,477,038,714,906,468,840,695,652,697,877,737,315,690,
241,769,140,496,775,789,448,423,164,266,012,957,577,069,939,750,132,259,106,
837,527,752,573,333,565,699,365,687,463,360,332,267,915,343,254,155,543,067,
847,293,230,488,067,145,088,038,745,736,476,128,640,116,604,797,138,125,862,
734,346,813,967,655,893,776,029,276,066,380,553,207,280,999,020,660,858,316,
594,816,080,916,471,944,937,027,959,303,093,999,193,108,818,487,919,428,535,
414,353,852,352,923,778,105,283,822,069,638,267,026,959,890,000,006,562,136,
851,066,873,188,324,717,456,961,681,418,668,723,470,982,994,821,530,933,488,
317,924,539,240,457,872,385,084,721,025,960,358,006,693,989,316,604,440,498,
348,739,694,136,938,346,175,582,236,917,110,707,392,890,853,352,067,271,225,
593,313,762,447,707,575,441,394,344,607,497,416,138,905,634,058,146,948,242,
562,165,858,818,509,079,932,998,012,822,185,987,473,057,972,135,215,252,341,
117,799,989,246,453,981,697,739,707,558,342,046,067,276,245,853,379,351,853,
221,487,210,883,411,688,083,748,569,469,703,406,575,711,160,105,497,122,521,
944,126,004,311,164,056,148,776,516,389,766,610,642,463,867,220,267,547,799,
708,018,889,822,823,892,889,542,268,803,569,055,312,465,033,011,770,184,274,
302,681,702,226,568,235,248,406,221,635,114,353,963,085,900,496,543,362,685,
351,676,084,871,723,360,573,130,846,290,324,836,817,874,775,316,939,458,229,
563,907,410,252,966,201,413,039,875,557,876,722,636,891,479,453,381,368,392,
034,965,766,232,042,119,755,212,888,655,973,787,833,791,097,712,890,623,930,
528,966,093,259,898,661,108,100,322,963,872,933,602,560,261,669,618,617,646,
114,399,152,932,368,998,180,159,148,213,368,188,077,326,044,857,375,106,512,
932,088,780,071,042,960,794,263,150,704,066,089,498,548,356,759,499,086,451,
735,653,259,858,530,392,285,645,976,466,142,294,713,545,471,117,400,346,177,
164,352,805,347,289,238,849,228,516,244,486,178,481,161,215,541,218,780,524,
789,222,453,755,122,053,257,425,388,764,073,866,876,039,335,349,489,804,501,
557,743,394,957,908,307,645,643,485,581,166,224,864,903,579,130,524,792,910,
236,346,177,809,232,109,555,523,333,773,585,002,385,755,352,625,545,297,260,
214,634,898,970,775,977,489,429,321,475,131,334,649,988,620,538,549,285,875,
596,515,627,889,213,609,028,954,858,507,852,785,324,321,834,216,146,728,279,
890,445,566,166,267,771,117,533,632,919,684,269,811,190,796,341,390,333,696,
651,327,571,260,686,309,612,169,854,551,758,461,746,127,237,728,891,824,462,
220,402,930,078,870,034,945,680,287,974,173,818,953,309,792,958,166,995,406,
841,730,666,979,408,294,173,980,128,621,923,065,568,609,209,942,525,685,170,
818,459,089,287,790,942,081,104,370,271,693,195,728,843,351,882,957,218,805,
686,204,210,815,417,509,852,728,427,110,688,516,049,769,498,315,386,371,828,
687,691,775,242,492,094,907,254,245,752,167,811,107,640,327,110,230,586,698,
550,814,312,945,863,940,201,819,820,616,027,290,358,597,232,018,059,260,900,
482,310,121,244,373,737,414,577,830,256,636,765,288,837,166,142,871,270,350,
327,845,841,576,203,342,816,846,557,983,063,005,715,642,584,759,159,157,007,
900,843,463,924,903,034,393,561,438,619,712,847,633,248,594,559,493,134,024,
447,721,386,351,608,916,511,649,503,860,817,232,638,005,006,534,477,476,587,
538,062,801,105,554,304,126,951,407,054,495,649,148,296,966,151,785,219,066,
544,562,098,482,044,276,768,886,628,644,745,446,206,758,473,595,259,752,684,
816,399,599,256,399,010,015,167,600,442,942,403,215,418,455,405,747,056,623,
302,326,482,531,792,001,798,563,487,764,184,773,040,941,634,776,016,311,993,
319,831,763,630,726,382,974,696,229,965,097,692,415,986,231,737,914,264,455,
639,531,647,247,030,799,775,922,240,116,637,408,049,752,380,147,253,319,606,
829,428,023,013,581,223,103,893,937,632,175,493,584,027,499,229,340,488,691,
362,353,043,687,942,843,037,875,062,065,794,933,587,245,389,151,985,812,931,
215,408,891,732,316,470,859,332,970,806,368,939,380,240,389,388,494,740,727,
784,805,967,084,119,029,859,864,245,791,559,874,276,743,393,385,187,642,141,
626,767,528,574,026,337,897,539,632,019,471,861,660,125,276,141,776,761,604,
946,497,308,945,718,825,616,970,583,996,606,945,010,825,652,679,702,036,105,
521,552,955,418,403,921,334,347,949,132,101,423,311,366,422,824,810,895,886,
724,674,610,844,509,473,759,952,198,235,050,864,374,997,129,499,822,068,954,
793,603,737,071,118,739,942,650,017,386,221,828,147,042,156,782,988,652,389,
067,585,498,997,585,727,967,105,147,917,363,136,659,025,998,439,246,434,077,
030,832,136,695,072,050,057,063,489,320,564,770,182,028,756,083,229,147,475,
297,896,954,709,380,681,430,556,123,549,745,032,902,269,654,514,008,613,097,
826,692,554,724,540,655,350,670,751,894,139,459,550,709,394,305,493,521,147,
480,330,802,875,641,378,338,318,884,964,135,741,216,632,061,910,749,301,346,
872,663,189,950,549,130,113,487,981,148,433,498,222,805,532,003,005,066,028,
911,234,428,789,281,592,468,237,141,779,026,453,141,182,459,946,936,842,209,
933,091,926,651,664,160,706,929,184,718,850,143,108,677,293,084,672,570,897,
244,706,372,055,423,836,369,160,310,627,038,107,169,637,863,783,905,257,292,
266,032,649,016,450,031,955,520,493,144,837,616,030,914,944,562,110,063,755,
954,111,029,259,689,513,963,745,222,102,567,287,909,478,237,002,101,086,761,
848,226,063,186,180,682,903,259,698,383,130,051,050,441,278,426,668,906,068,
261,139,579,717,478,975,730,773,890,852,813,750,050,101,191,686,245,550,872,
149,290,612,975,655,750,902,910,630,151,621,666,830,735,240,506,968,329,299,
106,794,730,576,474,192,475,891,703,249,479,580,664,039,708,974,942,645,678,
069,865,570,728,313,082,174,745,844,417,034,251,023,745,355,708,572,662,653,
014,569,703,516,350,070,951,031,970,032,693,909,141,043,513,667,052,636,527,
550,731,392,382,728,861,570,146,295,233,965,930,487,877,253,690,472,742,936,
491,489,387,421,038,658,904,006,414,222,749,579,512,200,281,618,984,478,157,
271,601,114,913,796,336,608,262,469,134,107,619,165,340,687,223,313,679,666,
389,608,367,790,467,054,165,158,504,965,555,386,287,132,274,877,684,899,109,
843,358,096,702,534,918,621,899,220,408,963,249,457,344,559,315,102,901,554,
527,835,377,771,852,414,263,041,160,137,450,033,749,683,898,518,835,007,181,
781,065,728,111,710,889,674,072,587,495,886,453,090,159,531,028,585,297,899,
996,328,030,163,283,534,897,004,359,150,314,232,338,559,082,264,905,692,487,
533,837,693,259,074,727,631,076,943,046,515,270,610,144,128,706,561,257,973,
601,727,365,627,100,706,894,316,063,023,268,984,581,456,848,355,082,374,825,
084,892,225,845,973,154,504,033,874,342,989,165,428,526,330,218,951,027,948,
953,996,361,631,296,889,180,264,620,026,699,672,560,480,251,616,249,585,767,
117,057,326,854,360,922,602,667,029,534,363,585,422,439,826,210,249,490,575,
358,459,529,212,490,155,686,403,206,968,045,769,121,435,022,455,062,273,726,
339,413,642,272,850,062,501,533,424,442,042,188,893,695,255,179,833,344,805,
857,783,176,034,674,312,360,772,275,953,546,361,029,260,506,452,898,105,958,
035,734,350,006,957,652,942,006,218,925,208,745,174,405,542,115,679,119,146,
577,511,459,597,619,648,926,657,327,772,279,728,614,517,469,470,998,230,973,
596,162,648,262,581,635,406,329,604,759,988,097,804,148,683,612,408,052,019,
901,979,795,642,845,917,217,706,701,435,268,311,087,897,195,507,517,653,436,
606,909,352,216,792,656,870,957,442,656,260,745,499,293,083,798,228,765,222,
669,281,167,796,574,895,992,560,414,715,996,414,852,976,078,448,219,880,174,
117,755,620,874,887,898,645,502,117,437,935,180,042,447,560,408,347,572,922,
721,666,872,809,989,328,079,349,316,810,180,293,503,915,713,544,173,244,584,
670,058,011,348,966,103,532,026,158,392,884,634,715,397,273,923,339,466,164,
217,833,715,082,554,113,431,290,744,646,851,146,032,617,779,440,320,484,657,
636,524,026,511,240,600,381,441,458,165,827,553,684,843,633,451,165,708,741,
755,655,571,102,319,248,521,015,501,549,025,717,646,448,483,627,220,229,970,
556,907,264,730,566,278,546,909,123,214,560,629,585,316,919,955,754,674,942,
262,982,355,458,351,291,725,179,671,449,755,115,088,574,371,606,791,856,131,
132,811,926,202,960,997,326,255,752,476,642,043,320,872,001,690,770,876,140,
452,830,587,790,020,010,489,394,780,587,939,921,446,064,771,483,019,409,074,
816,526,038,710,993,761,499,038,968,500,631,625,618,435,558,565,855,112,798,
328,267,540,198,332,150,900,847,633,558,656,834,529,132,160,548,700,011,758,
129,533,259,913,334,589,108,619,205,082,975,722,383,258,048,841,870,063,726,
279,939,333,230,005,764,402,924,453,436,434,798,775,327,274,014,937,139,311,
550,656,164,887,714,576,909,804,737,878,838,027,150,109,230,953,157,854,309,
938,257,476,917,124,015,497,057,706,777,255,776,177,083,889,930,449,986,944,
084,517,672,018,391,372,575,308,855,108,504,429,162,503,733,529,348,516,480,
814,854,401,216,439,301,334,762,962,156,014,575,775,901,288,672,614,632,796,
248,311,454,123,252,737,380,396,427,203,831,885,104,588,754,455,495,728,468,
578,718,483,942,987,158,734,234,702,506,887,888,202,644,996,569,107,405,711,
285,005,943,303,242,546,310,455,537,997,953,223,826,028,805,532,814,624,424,
494,696,752,926,751,465,389,084,777,167,611,507,655,606,838,841,522,990,339,
345,544,958,175,049,354,276,073,386,079,501,786,514,452,059,200,548,359,630,
491,826,804,180,198,814,379,465,935,266,559,184,311,358,608,011,577,171,112,
824,920,474,352,730,068,420,431,394,498,020,857,256,440,364,984,268,300,982,
691,099,876,953,965,630,010,011,543,271,011,709,980,067,087,494,394,401,885,
438,811,040,467,160,844,892,109,206,152,902,293,078,683,667,617,711,023,498,
862,983,350,097,654,759,787,193,994,936,786,328,393,272,823,836,661,384,240,
384,913,597,775,935,930,097,595,153,294,902,989,712,950,342,586,675,938,690,
666,775,409,071,122,354,062,599,505,220,575,023,024,753,724,414,420,074,120,
501,705,573,864,027,279,565,200,782,352,497,587,904,988,631,472,365,916,658,
925,891,247,772,974,888,345,156,062,453,020,486,200,200,120,118,388,678,688,
031,710,110,907,284,840,006,955,453,156,870,311,389,337,667,757,893,681,680,
246,001,084,442,916,460,568,345,663,874,685,097,366,324,083,761,041,690,011,
997,441,230,967,791,955,391,493,098,836,724,414,585,946,382,422,580,284,854,
463,238,986,336,778,510,580,849,248,341,469,503,953,213,325,549,670,443,889,
066,208,442,258,173,202,514,275,826,345,502,710,290,789,748,703,336,777,570,
174,191,210,330,439,834,751,739,760,982,100,261,662,220,969,047,210,779,047,
425,680,926,886,916,023,305,845,451,909,863,686,401,025,638,250,313,258,679,
811,323,872,809,835,040,634,362,527,608,401,012,899,925,663,148,612,462,903,
350,483,699,881,921,185,028,612,198,038,118,791,144,797,418,008,348,504,988,
745,241,715,459,715,539,861,662,808,670,640,677,627,975,874,387,059,979,851,
276,808,490,082,732,477,021,286,667,888,811,614,187,371,496,778,703,225,561,
753,171,255,243,350,102,624,652,041,083,109,725,144,253,609,886,695,504,134,
377,581,313,960,096,173,258,696,282,496,550,637,573,574,521,385,313,085,938,
181,057,890,545,295,283,647,356,287,170,020,021,667,712,052,789,280,667,391,
088,674,678,938,479,646,280,349,635,176,732,933,194,191,375,053,308,826,920,
850,486,235,911,470,464,150,707,419,347,966,909,572,626,825,780,346,759,316,
850,391,751,148,546,965,836,605,250,341,570,617,571,001,530,039,352,203,099,
031,198,192,268,543,626,607,318,528,137,994,342,607,380,626,111,515,270,875,
627,538,908,878,508,422,783,002,423,146,458,220,985,285,430,835,881,485,517,
620,174,939,025,321,453,669,131,108,570,143,104,442,856,772,538,526,228,390,
790,751,920,556,648,825,409,550,899,305,750,003,710,683,479,538,171,310,417,
881,702,006,232,850,807,402,531,870,313,584,677,971,579,759,609,001,895,356,
863,727,697,171,769,377,021,441,898,308,162,244,794,722,898,848,141,181,955,
503,001,704,517,016,744,562,086,200,968,153,556,772,285,343,993,312,542,713,
485,995,594,213,687,538,094,640,866,032,915,488,174,052,180,136,642,561,738,
860,773,984,693,320,797,407,339,324,802,158,293,516,399,185,771,147,913,437,
702,144,424,568,706,603,968,617,239,629,668,354,184,592,052,255,338,222,179,
829,108,068,903,312,919,568,680,674,745,167,604,152,421,978,837,715,931,986,
335,805,591,107,210,165,517,652,302,431,794,720,413,287,005,073,997,697,158,
880,996,502,431,929,421,320,423,050,163,692,565,775,104,033,734,053,357,801,
639,103,053,076,309,952,026,832,962,250,155,809,675,785,084,595,880,380,526,
675,225,868,946,190,775,267,699,802,958,595,063,638,450,695,210,536,818,686,
760,768,869,120,253,717,154,248,030,308,781,181,823,861,224,383,436,624,531,
629,135,795,422,614,289,290,458,016,339,588,724,615,665,988,410,932,986,679,
973,341,782,482,249,685,779,509,216,094,992,568,928,320,825,916,704,558,686,
784,174,450,410,571,879,654,794,469,143,536,369,583,909,806,827,142,002,739,
289,849,369,852,820,385,685,165,458,435,221,604,628,211,079,124,198,069,175,
709,520,849,840,144,254,891,267,768,833,048,850,425,669,693,642,298,594,328,
308,275,291,564,083,653,032,907,343,719,613,174,457,125,473,084,922,023,396,
469,508,348,971,422,323,474,596,794,708,795,666,927,050,907,650,147,057,761,
515,449,913,087,161,728,825,814,544,276,119,818,999,068,146,075,959,590,298,
829,641,245,293,729,886,928,228,702,351,588,622,195,990,258,815,842,318,545,
634,409,775,881,354,140,342,476,652,739,238,657,415,186,226,530,808,870,982,
409,171,631,553,749,444,166,872,841,260,638,123,686,509,453,209,730,591,379,
819,635,574,605,595,943,118,190,180,923,173,340,596,424,939,598,922,401,251,
600,440,482,905,004,408,157,772,693,034,473,134,778,207,164,423,943,122,086,
029,953,720,301,458,679,175,699,736,916,648,323,302,752,104,601,566,008,946,
642,647,453,654,950,715,612,005,138,429,164,104,374,349,594,038,084,961,674,
642,317,672,686,973,826,777,135,692,058,741,891,484,282,985,538,660,363,018,
158,470,603,813,737,429,695,326,935,019,080,359,055,460,916,047,477,916,500,
395,110,643,434,008,274,299,573,719,539,885,359,007,396,454,170,531,978,473,
824,337,914,521,926,805,383,397,286,780,243,872,236,051,270,623,840,228,965,
164,882,967,095,952,779,229,877,209,030,999,514,158,532,940,976,391,057,400,
922,625,356,090,192,869,425,922,902,986,247,428,584,203,151,415,182,355,493,
298,745,049,768,616,460,767,066,989,194,936,239,794,858,416,224,522,968,558,
235,493,996,723,883,020,219,147,257,719,292,175,051,769,609,412,466,703,361,
148,557,353,207,516,944,925,123,839,715,770,891,010,728,078,128,703,937,495,
423,628,230,838,669,261,612,387,095,279,268,099,933,903,018,656,819,114,937,
456,904,846,160,192,304,261,220,553,536,147,883,266,597,034,686,095,171,039,
223,350,967,383,426,882,435,423,137,826,146,109,145,678,223,516,296,529,490,
676,855,647,969,050,403,280,850,767,090,315,454,042,944,539,123,350,045,135,
719,747,750,288,471,960,051,162,299,267,793,596,954,767,493,619,307,009,620,
299,774,978,244,702,279,318,457,223,108,309,165,207,963,198,461,648,175,157,
712,530,285,617,053,999,397,456,937,761,386,449,842,303,513,816,502,068,164,
770,801,258,843,359,183,101,081,911,843,362,514,692,175,777,972,240,693,428,
191,823,070,554,014,675,124,989,809,838,000,187,522,554,783,387,565,720,048,
261,816,244,778,846,188,616,448,034,178,199,404,337,345,719,453,708,164,600,
705,690,983,018,081,954,432,560,221,171,983,320,190,350,374,486,927,021,749,
696,289,043,131,691,793,922,619,735,994,955,745,307,547,081,703,750,663,025,
700,832,457,664,179,342,925,239,429,547,616,111,252,262,479,756,543,459,944,
852,247,542,771,412,769,217,035,152,412,193,686,461,027,438,757,367,533,605,
657,095,512,987,118,375,762,067,749,509,392,317,289,714,317,692,527,572,737,
824,433,766,649,063,484,331,706,205,954,530,377,370,245,842,713,594,808,146,
458,810,520,547,653,285,813,016,260,559,203,759,157,637,574,129,501,937,770,
073,094,704,300,440,554,588,745,182,664,907,734,389,556,756,588,320,568,413,
526,730,525,261,271,894,318,226,809,964,791,923,896,489,832,296,295,516,883,
614,546,181,668,337,894,960,512,086,445,400,235,574,176,455,244,762,072,796,
933,619,396,888,092,343,290,815,361,121,501,659,379,263,472,022,706,052,263,
354,404,354,760,719,116,754,738,937,072,838,655,306,218,174,018,443,595,822,
295,016,821,923,058,993,356,548,074,948,825,173,117,382,357,895,378,433,465,
253,668,988,822,260,354,949,854,346,816,733,334,893,400,386,073,289,261,156,
781,677,443,832,340,061,343,456,726,880,595,907,103,551,358,498,105,424,199,
040,209,904,240,383,127,780,959,446,269,660,640,713,508,292,601,052,392,176,
510,377,413,991,299,198,122,234,134,713,221,473,342,012,239,475,822,789,809,
872,577,833,387,588,276,827,795,975,795,047,826,741,695,541,214,756,393,387,
704,581,127,387,494,416,658,326,928,581,870,382,032,641,945,506,824,886,522,
237,369,725,688,666,948,476,756,880,884,649,432,832,453,481,969,539,928,612,
951,574,922,316,265,205,650,225,290,719,179,256,181,762,768,820,538,810,084,
071,408,008,267,384,049,924,737,795,870,532,553,296,658,069,140,317,089,709,
936,108,850,393,580,338,598,811,603,034,370,924,654,407,235,618,184,693,703,
785,589,163,978,321,043,303,145,713,192,568,967,219,321,836,922,672,908,065,
668,167,463,280,394,999,819,369,660,704,641,645,220,402,964,557,661,169,569,
939,775,500,803,356,384,634,433,681,495,779,223,346,500,136,217,688,249,701,
180,548,217,962,536,192,305,943,719,104,430,099,484,582,697,178,678,402,242,
087,686,192,300,282,592,374,412,069,774,538,005,727,177,031,546,295,352,716,
406,101,093,287,987,732,266,631,870,666,759,304,256,779,527,037,197,799,589,
260,457,744,850,809,573,795,539,558,810,424,375,951,755,789,164,245,267,014,
969,167,791,584,794,471,697,446,747,525,170,448,401,674,111,273,724,051,032,
953,823,801,078,733,149,264,913,105,023,445,255,500,638,252,752,210,221,519,
534,718,994,425,179,593,982,520,318,909,228,235,346,979,091,627,253,830,003,
750,317,877,116,374,408,034,653,115,008,409,335,170,194,441,862,386,472,407,
440,877,236,286,801,854,465,104,167,667,802,929,223,569,157,776,075,987,620,
003,345,139,821,354,493,416,302,342,089,896,644,607,553,322,792,860,825,356,
749,132,797,570,417,645,685,246,373,114,950,091,092,012,544,718,362,130,037,
058,616,560,553,938,201,505,307,762,882,069,093,212,517,722,025,983,539,199,
736,526,600,879,814,479,780,764,214,882,700,929,495,148,177,529,693,891,634,
416,692,961,645,748,649,074,492,501,880,717,788,244,765,316,017,128,899,560,
847,333,896,307,128,526,154,057,256,270,537,048,964,793,787,193,637,403,829,
351,756,900,378,681,037,188,412,898,828,474,124,627,911,044,424,508,643,541,
378,896,473,666,888,566,427,938,689,172,980,518,090,451,316,402,324,851,694,
982,841,054,086,619,832,524,540,608,655,854,907,061,930,415,131,888,684,052,
151,408,066,811,484,281,552,357,897,930,565,113,368,853,716,392,069,030,027,
448,506,180,399,128,141,597,557,783,415,428,119,724,308,648,444,269,925,821,
419,118,142,058,016,152,379,414,852,978,443,614,169,269,954,182,484,224,790,
566,013,724,873,950,707,497,598,792,213,504,231,042,191,226,687,670,981,633,
894,528,869,350,440,370,532,227,105,347,668,181,675,000,335,428,630,951,850,
944,210,467,759,644,053,207,505,000,900,723,404,225,672,335,631,907,340,114,
467,450,263,067,146,217,856,764,784,468,355,422,460,335,522,630,684,109,886,
045,888,045,044,484,890,236,781,973,330,060,995,919,334,075,745,786,703,533,
904,796,529,842,171,882,313,551,871,935,434,165,262,076,371,534,596,212,914,
473,462,912,591,147,032,397,570,797,093,864,937,722,124,980,967,778,562,146,
853,795,113,922,472,123,567,741,224,009,932,907,889,151,602,041,119,015,304,
508,983,310,502,117,930,047,922,286,469,001,198,876,917,384,652,019,166,679,
858,835,075,851,884,804,325,281,389,303,666,834,429,103,354,849,444,983,619,
093,450,362,989,167,426,559,290,164,564,566,736,388,264,284,412,292,440,278,
073,187,330,024,858,592,599,748,112,575,225,130,527,824,466,589,537,792,018,
227,394,677,657,285,904,323,993,525,628,204,641,721,685,466,269,872,305,934,
949,290,496,521,228,710,166,774,592,268,568,324,788,709,591,225,727,228,227,
797,879,198,729,750,989,249,940,568,383,645,589,783,296,489,785,439,391,270,
936,874,007,426,475,806,520,761,687,471,172,361,681,517,689,826,325,507,632,
377,011,217,586,028,996,251,586,027,301,892,835,071,344,922,515,689,190,938,
654,124,026,190,625,136,719,754,666,370,079,254,111,992,809,059,548,709,859,
615,836,815,897,660,854,155,787,559,551,322,177,860,930,089,837,384,859,207,
860,913,384,955,399,122,330,999,567,355,668,800,246,950,192,583,491,679,569,
147,675,411,221,080,008,495,082,108,264,400,756,056,445,822,728,713,848,337,
539,322,266,953,366,824,409,527,528,397,683,649,162,747,805,903,773,557,926,
763,322,416,516,048,825,705,779,979,758,654,661,338,503,707,129,548,326,489,
556,160,876,847,226,145,338,631,014,606,804,644,546,551,107,249,243,104,754,
646,120,541,650,533,791,788,714,778,435,867,374,249,464,723,966,774,570,850,
732,443,288,031,493,086,896,618,390,155,275,086,332,428,775,294,739,344,414,
278,647,005,756,085,817,557,994,244,545,395,597,409,630,541,383,425,084,353,
501,793,442,735,434,590,512,105,378,869,294,666,540,091,406,215,874,241,897,
762,609,883,993,219,119,346,488,021,065,424,578,243,256,047,664,014,421,826,
836,335,549,794,056,383,686,499,939,780,161,844,500,377,001,753,051,645,413,
992,101,138,055,995,346,936,503,964,796,979,536,788,055,932,566,194,237,281,
072,869,758,440,296,846,576,400,763,236,770,017,261,547,244,403,485,444,379,
256,341,344,038,850,573,454,050,515,286,257,203,105,168,507,575,741,371,892,
602,369,248,035,400,699,748,730,106,547,993,904,488,517,407,726,187,149,232,
145,820,520,881,817,135,654,469,949,561,445,740,245,619,771,000,182,340,120,
914,080,656,242,805,848,186,759,207,400,586,038,827,367,098,742,352,331,117,
983,211,294,998,358,857,633,708,169,168,388,067,233,536,339,769,513,174,477,
653,934,118,963,521,417,562,709,903,488,507,314,596,297,625,889,003,085,854,
637,844,255,575,268,058,545,523,553,461,298,194,948,819,376,998,238,217,191,
508,104,446,218,533,173,961,215,600,419,568,205,401,883,916,721,562,937,706,
946,741,561,364,247,635,983,007,861,870,311,159,554,697,317,307,096,831,750,
656,915,638,008,685,810,758,409,844,130,544,554,187,056,385,182,125,419,922,
133,183,580,080,300,878,146,271,999,516,221,426,128,109,794,710,989,360,095,
489,905,396,743,895,890,688,127,140,489,278,481,646,084,253,228,018,760,500,
071,558,302,163,409,587,536,406,882,385,304,901,341,642,323,305,897,780,155,
327,634,206,191,461,873,670,910,091,524,465,843,884,107,792,826,135,971,441,
216,662,934,949,515,531,466,761,749,494,853,071,654,717,354,921,958,737,349,
302,057,890,729,129,260,219,420,606,516,499,225,881,840,657,843,996,583,938,
893,320,844,955,990,719,598,592,396,456,042,529,074,917,516,787,149,899,574,
461,405,509,778,058,880,569,249,261,740,336,054,566,243,509,366,459,670,062,
628,796,471,741,103,980,274,369,007,211,089,920,542,925,464,415,686,906,243,
242,501,820,275,317,401,808,209,008,636,578,867,351,924,484,803,273,830,161,
582,060,722,530,465,256,008,050,829,901,332,444,781,514,855,395,855,410,583,
680,202,167,994,390,557,209,178,548,484,479,098,004,140,617,421,721,215,728,
057,724,405,401,878,765,678,318,313,650,536,111,993,855,729,019,487,389,433,
762,081,572,117,881,988,488,946,381,785,359,547,609,043,874,241,035,132,524,
016,019,633,945,431,547,693,041,460,765,170,509,012,013,179,784,247,410,167,
943,204,606,102,728,717,036,050,401,984,586,381,598,944,634,478,048,324,252,
892,480,367,355,638,597,795,764,324,191,437,540,685,677,061,773,360,253,236,
387,554,105,129,903,525,379,885,547,955,757,460,156,211,911,091,677,371,848,
172,781,344,519,763,647,639,198,848,355,655,024,472,380,037,370,228,802,601,
380,350,661,903,036,364,210,280,894,390,117,054,664,741,303,604,007,201,776,
268,654,902,434,207,479,433,941,881,466,142,102,500,775,060,881,519,692,549,
313,965,725,411,826,450,187,237,249,165,305,140,264,917,313,960,502,435,951,
612,153,940,878,823,237,946,835,610,229,265,252,830,028,737,331,724,120,803,
001,662,009,907,045,338,724,591,891,298,880,891,890,481,629,591,586,536,008,
994,625,483,733,482,012,777,866,518,106,378,086,601,460,487,793,173,329,178,
651,387,175,223,564,849,415,276,061,719,868,849,666,322,339,961,139,560,669,
981,264,582,995,050,881,340,706,557,649,416,925,883,148,628,893,477,575,158,
726,076,976,856,633,224,078,896,583,106,758,157,739,266,871,164,051,912,964,
107,636,854,787,389,376,598,977,292,383,317,761,419,931,068,312,392,742,807,
239,691,287,530,419,692,850,240,787,423,044,432,558,744,648,804,392,158,850,
831,047,936,289,241,650,790,844,216,334,699,812,981,543,491,201,814,963,170,
530,375,848,711,331,376,590,366,343,776,675,271,412,798,841,657,843,868,777,
528,680,255,266,665,809,162,523,751,693,550,811,791,312,032,200,000,090,157,
466,343,027,908,395,908,609,128,300,431,578,433,697,708,344,179,175,797,369,
262,774,505,376,639,648,078,294,104,938,715,507,516,438,746,602,724,639,815,
886,317,263,635,865,718,121,153,547,381,991,803,356,604,303,149,787,925,023,
168,856,452,187,132,891,629,363,118,371,209,192,661,946,396,896,810,801,153,
559,573,658,450,199,134,573,328,479,593,916,539,772,341,936,691,511,322,434,
795,802,334,095,707,879,004,118,190,524,303,751,534,309,766,617,302,208,608,
560,165,494,680,434,593,025,923,684,240,245,826,892,852,332,180,573,860,376,
412,975,784,673,331,015,220,154,913,366,653,092,668,599,987,749,445,788,811,
255,591,382,529,450,769,240,398,114,608,486,372,661,977,331,196,735,014,500,
259,393,264,115,165,997,367,395,128,744,233,249,770,364,543,797,241,395,680,
692,792,217,394,981,349,703,018,231,488,757,678,596,081,772,537,156,670,385,
137,526,847,763,415,375,042,090,844,076,754,682,473,681,229,064,623,330,413,
020,724,192,990,436,111,418,806,785,941,148,556,094,218,959,527,113,686,498,
406,809,201,205,542,105,386,018,428,100,040,413,978,601,834,887,392,804,115,
657,394,004,648,507,544,122,086,877,256,763,525,181,807,474,982,808,458,131,
603,576,509,959,162,732,007,288,813,818,280,809,042,774,209,238,180,422,836,
176,255,119,906,371,509,494,614,687,425,618,741,216,177,455,906,766,404,907,
348,017,313,692,878,082,879,894,830,091,321,144,485,891,254,415,843,826,610,
748,348,191,098,400,923,860,999,440,601,603,665,875,551,997,758,665,647,270,
381,564,869,885,018,731,522,968,177,454,067,162,413,049,649,663,542,494,482,
260,899,447,560,420,977,326,404,782,698,479,896,810,848,310,584,267,764,632,
925,613,326,521,047,992,857,802,896,102,939,149,133,915,990,746,910,776,101,
192,150,898,358,943,461,547,007,497,674,337,642,895,821,245,100,848,204,960,
931,582,212,731,916,612,248,447,738,777,904,280,023,752,937,847,174,914,200,
085,095,531,763,463,002,520,781,472,453,359,204,277,106,746,704,733,732,559,
964,535,420,038,331,269,624,613,541,582,758,020,478,448,409,353,492,022,998,
470,905,600,425,740,334,912,771,715,358,554,996,625,226,495,108,183,211,862,
479,105,407,716,937,063,428,166,016,099,018,633,256,391,078,257,357,190,901,
208,381,801,858,462,400,175,242,207,247,042,214,295,436,059,846,168,695,066,
000,180,043,408,183,213,712,945,710,614,344,743,149,366,165,975,293,548,980,
578,180,415,841,945,231,396,551,108,150,736,825,893,068,203,461,510,750,813,
916,806,156,153,157,381,928,834,513,055,890,028,761,131,241,203,388,089,575,
246,178,331,421,971,096,626,284,328,878,345,759,615,370,693,741,681,933,389,
742,500,126,277,682,818,262,898,681,037,839,085,063,437,748,588,473,545,611,
817,733,472,726,321,238,395,502,803,574,544,030,848,346,256,109,796,455,756,
750,099,448,204,946,344,028,876,089,453,684,594,200,332,952,313,277,990,852,
041,227,616,079,675,705,560,790,158,756,500,151,224,208,353,097,616,507,467,
648,355,594,212,368,615,291,742,264,771,033,654,912,775,876,709,490,971,323,
610,287,832,999,882,781,990,103,765,002,042,826,740,645,834,134,908,031,227,
326,256,889,652,079,448,889,491,107,799,994,188,995,177,465,405,605,862,961,
934,160,007,607,232,525,474,368,952,807,993,531,301,908,359,594,016,100,488,
149,614,631,942,226,902,493,228,654,287,746,973,172,487,948,400,053,398,847,
151,307,159,579,365,282,104,361,336,495,210,440,370,142,635,056,384,214,328,
763,149,783,383,198,898,155,700,326,127,575,621,106,534,365,307,757,776,300,
353,386,044,959,067,835,406,944,719,904,630,556,611,350,900,297,104,591,286,
503,237,849,146,231,383,690,268,737,948,264,750,847,755,602,263,423,064,670,
602,626,065,758,695,377,878,379,809,278,096,287,711,527,846,369,253,511,796,
395,581,891,606,309,540,749,015,564,447,966,252,189,613,738,566,329,369,919,
748,247,078,322,736,067,781,644,234,308,710,700,032,593,297,067,463,469,742,
432,364,068,630,142,475,893,402,983,042,096,947,109,152,826,127,615,633,988,
507,670,717,288,831,289,060,504,596,389,139,993,607,699,824,278,049,083,691,
739,454,568,652,743,948,447,851,318,849,193,895,686,732,698,499,629,071,015,
843,855,345,228,489,477,806,412,876,931,798,882,117,241,641,656,901,499,742,
460,250,005,326,605,503,082,459,516,744,518,492,013,487,020,139,396,258,358,
412,574,887,574,474,176,329,389,737,853,690,950,945,009,575,025,926,119,411,
075,419,605,464,162,315,570,022,916,332,454,244,894,363,419,522,418,979,854,
924,310,707,309,512,016,118,007,134,134,431,585,929,421,714,661,157,289,353,
468,464,025,586,553,376,949,192,408,334,393,239,604,090,132,174,548,046,635,
393,006,659,816,958,154,804,225,849,264,440,963,040,977,624,196,645,846,246,
063,329,589,332,924,525,717,549,115,970,228,704,982,848,021,595,773,094,002,
356,568,608,296,589,907,438,326,233,682,215,627,364,185,539,663,957,749,409,
676,599,704,304,195,549,527,203,611,130,135,988,291,633,333,838,725,763,889,
545,169,408,140,100,937,817,224,985,156,288,236,168,134,057,321,781,789,658,
111,192,008,559,299,163,419,124,565,870,470,945,435,445,027,402,040,230,969,
129,252,619,588,388,600,105,375,726,362,875,992,500,272,921,572,798,281,337,
800,774,349,575,302,338,736,755,977,961,997,315,605,966,209,426,344,821,860,
518,380,632,816,620,199,699,276,292,563,665,284,343,857,673,582,147,281,860,
667,006,398,001,730,815,303,201,523,383,233,960,619,532,899,022,270,956,435,
686,666,000,227,593,521,539,247,930,664,527,147,024,680,853,926,167,660,022,
714,126,883,045,805,454,872,159,018,278,916,751,730,615,862,646,801,650,674,
289,999,959,944,371,002,260,730,284,835,110,243,948,431,832,262,844,188,488,
090,375,931,563,297,574,553,507,822,607,526,122,430,644,082,382,883,688,965,
600,807,826,910,014,455,477,741,497,949,990,352,109,881,225,897,432,766,405,
728,763,644,397,941,835,107,249,993,765,370,675,816,649,781,574,766,540,898,
765,641,144,310,955,897,910,285,791,470,603,166,364,319,943,542,321,135,263,
875,793,566,652,068,809,117,265,647,826,334,549,057,306,806,432,027,918,741,
716,989,946,973,782,722,169,731,982,386,243,575,437,589,001,121,874,759,092,
337,623,595,482,269,113,225,158,949,994,953,887,951,992,885,632,612,619,376,
749,558,689,779,678,949,875,645,361,987,530,355,109,034,280,175,811,192,560,
395,405,502,601,649,598,664,025,449,018,588,807,802,766,102,224,067,601,883,
505,949,004,524,069,077,271,591,227,072,492,688,244,939,991,008,453,062,611,
159,847,490,748,800,694,145,327,379,826,764,349,179,750,689,523,122,073,857,
912,439,728,401,759,386,273,536,646,030,726,212,312,983,011,020,295,807,776,
496,679,764,969,567,006,819,053,414,692,513,182,043,272,730,930,018,356,973,
294,481,058,280,371,115,975,676,763,957,708,565,031,222,473,625,002,279,786,
635,683,808,918,819,238,030,387,084,339,761,633,392,242,765,437,776,678,677,
145,927,849,103,601,612,081,927,372,343,299,269,376,448,743,450,171,336,940,
726,259,749,718,779,394,845,084,712,078,565,058,615,304,839,502,968,597,429,
203,969,816,618,377,293,959,852,242,118,834,952,905,024,450,906,577,854,598,
992,249,244,104,199,615,273,764,352,494,815,885,364,646,180,515,015,213,055,
646,175,962,701,507,946,879,112,981,421,264,654,628,457,607,939,804,621,993,
942,050,521,032,559,642,156,260,365,128,338,737,091,544,915,155,603,525,159,
718,823,566,922,137,570,184,648,893,396,104,679,939,564,697,340,072,033,496,
719,804,362,026,982,288,515,559,449,122,800,419,385,701,915,696,080,963,954,
357,122,084,929,347,735,814,154,010,916,905,979,534,106,792,035,052,129,266,
517,062,962,617,961,829,097,695,788,616,564,324,463,316,628,079,678,991,504,
253,856,590,374,295,312,123,587,923,466,658,199,897,375,395,175,421,959,335,
550,917,477,324,161,526,558,473,662,910,772,744,377,133,160,229,612,081,856,
411,326,524,515,578,947,926,856,811,331,310,953,147,288,550,765,134,863,854,
392,778,174,157,073,844,609,369,897,779,117,972,341,889,522,125,070,261,809,
654,673,108,319,946,976,998,201,997,703,479,185,392,481,674,294,708,106,724,
422,989,868,313,441,484,593,816,560,749,226,704,934,488,912,835,533,589,748,
400,710,339,355,810,714,116,933,342,930,200,760,412,377,408,483,224,846,291,
413,916,933,700,544,796,460,111,501,719,799,252,284,914,979,922,817,206,295,
716,390,639,807,732,239,924,815,197,832,556,331,527,272,005,641,775,838,463,
895,464,378,731,616,802,560,371,062,882,588,016,210,461,956,817,976,614,438,
955,345,720,195,740,840,316,060,877,776,847,074,905,354,261,210,778,825,800,
689,987,099,957,565,814,269,649,686,337,550,397,540,230,060,452,034,458,709,
397,402,122,518,389,329,474,052,596,208,618,135,052,902,345,086,883,882,510,
699,031,023,566,309,205,431,295,946,308,070,491,336,667,626,543,401,631,959,
921,737,026,844,125,294,495,512,000,265,487,089,431,382,073,232,802,383,132,
232,529,834,569,572,675,949,567,089,094,413,606,631,292,644,131,505,893,934,
298,649,868,216,400,678,795,230,478,594,345,671,564,022,201,645,665,317,202,
283,769,699,410,373,924,065,315,599,381,578,109,701,727,429,010,225,583,315,
634,136,475,689,664,556,128,050,677,607,465,454,731,823,854,923,249,463,745,
563,853,411,741,647,410,438,114,451,409,092,132,208,270,942,067,900,398,592,
222,315,689,689,760,822,336,906,328,269,269,442,332,743,236,392,394,232,498,
310,548,493,622,159,171,254,249,448,243,008,912,952,574,535,612,108,753,387,
654,090,999,257,065,046,453,772,551,655,719,156,385,873,369,439,899,898,768,
963,586,194,671,360,623,165,296,108,071,548,944,598,555,483,900,172,994,642,
233,575,456,600,482,634,644,642,070,984,263,971,255,117,945,518,996,557,022,
241,226,712,361,581,370,605,279,786,077,071,352,928,089,974,476,686,420,259,
240,658,184,092,738,089,621,253,246,039,416,657,249,798,307,179,444,518,933,
221,586,449,514,545,828,469,795,248,342,002,948,465,448,033,304,207,320,237,
917,454,405,449,338,553,555,686,351,869,848,225,731,490,359,924,016,017,778,
156,726,154,360,109,963,793,008,482,177,522,569,004,383,883,272,412,518,173,
853,933,702,761,880,143,751,742,601,111,704,739,433,807,424,737,488,883,959,
957,352,854,438,420,219,201,793,646,055,616,978,123,518,233,877,907,259,611,
044,746,181,212,884,313,290,885,547,042,288,933,087,327,594,933,058,668,389,
745,289,472,910,096,031,580,742,959,296,286,714,189,819,664,312,305,117,907,
279,849,690,496,169,047,775,127,820,950,566,261,908,403,022,208,233,211,730,
610,084,199,388,020,222,415,276,275,559,616,317,853,923,187,871,067,265,641,
891,757,476,398,357,771,416,474,943,468,887,469,637,651,590,630,610,508,620,
155,270,049,239,525,971,990,157,569,857,374,336,108,192,324,625,289,104,982,
387,337,826,991,777,946,157,254,699,184,967,603,746,010,855,148,013,005,326,
579,501,410,681,123,939,108,781,733,573,014,952,655,330,431,255,337,053,416,
561,600,424,497,009,719,977,570,125,649,840,454,889,097,699,133,407,663,974,
183,279,175,117,275,520,174,427,134,401,737,170,639,962,113,753,643,727,485,
379,375,251,212,562,361,217,113,078,504,056,788,260,529,119,820,523,510,654,
085,785,067,713,690,804,812,852,438,605,347,358,663,788,790,973,438,847,409,
671,964,954,829,816,796,774,692,962,597,410,066,769,499,186,345,980,359,746,
704,758,991,412,443,769,817,377,907,933,989,528,039,864,453,859,407,107,057,
530,503,283,406,208,879,281,134,768,994,585,808,305,753,835,554,016,751,395,
213,102,101,446,569,476,970,465,550,783,010,220,404,877,017,497,315,648,384,
923,557,577,138,055,126,491,622,385,194,169,557,443,971,324,675,514,937,882,
750,040,240,706,154,172,926,245,318,602,534,539,727,948,043,279,702,419,963,
896,186,715,532,594,641,537,549,369,362,961,428,745,087,485,750,685,975,508,
296,856,851,484,916,983,435,840,775,710,462,368,915,164,910,419,666,969,165,
415,696,954,355,335,139,225,070,483,485,502,222,138,221,688,524,239,727,638,
796,649,160,570,080,432,492,019,669,992,191,077,293,275,390,723,675,862,608,
947,068,088,930,993,579,290,700,041,124,543,532,974,930,232,370,094,594,332,
929,881,625,839,618,411,602,189,475,929,301,827,657,782,705,386,130,529,692,
141,153,068,845,884,963,448,056,523,729,521,576,144,946,020,790,742,994,348,
972,513,201,184,317,185,428,209,111,102,533,456,735,208,763,164,497,010,606,
133,275,001,372,908,489,808,464,654,514,535,536,215,035,005,287,880,241,992,
076,120,992,071,938,975,003,837,932,537,376,078,866,845,553,240,945,462,866,
786,373,814,085,614,391,450,158,438,681,879,872,711,318,649,038,066,076,666,
896,735,065,231,959,848,421,070,567,106,122,590,669,109,716,107,897,614,240,
403,901,464,678,950,890,230,530,732,716,271,642,009,556,237,076,384,884,314,
225,184,730,502,868,090,910,152,595,996,255,368,494,395,119,130,095,576,348,
973,923,794,031,819,866,759,130,609,635,841,278,179,536,846,853,885,463,961,
630,070,281,450,887,287,141,643,881,373,121,583,269,121,533,088,585,615,235,
876,748,087,067,943,249,154,288,849,701,296,114,433,357,997,571,586,683,478,
083,494,915,283,761,571,172,778,730,241,693,377,964,297,123,964,284,994,442,
894,154,753,118,605,363,408,578,231,797,093,066,150,112,744,232,378,892,842,
241,543,565,898,803,569,836,006,386,861,667,436,774,920,091,504,769,117,585,
884,321,652,921,723,335,181,590,439,829,842,744,853,316,110,973,910,447,852,
355,479,021,299,813,350,711,839,329,156,011,628,403,291,139,227,747,642,562,
192,652,411,351,744,258,324,336,654,508,530,204,645,676,480,092,308,034,201,
735,383,000,243,880,123,830,862,704,062,693,328,379,017,357,142,283,852,483,
919,203,472,993,767,788,107,555,220,312,454,270,496,811,829,387,141,493,843,
610,665,155,396,813,714,835,917,202,629,397,177,434,757,412,882,905,033,859,
764,274,886,740,546,136,302,183,648,979,674,232,596,883,112,717,937,984,315,
693,000,778,762,030,795,127,992,568,248,339,718,192,820,682,943,424,455,130,
504,015,625,333,457,590,676,571,476,798,049,129,971,481,537,645,943,688,356,
989,640,759,630,634,541,461,124,835,033,774,389,067,772,877,075,724,065,174,
304,966,539,632,643,021,916,119,351,569,839,504,235,557,012,062,644,408,815,
426,051,679,529,339,121,908,217,344,482,732,629,786,864,590,192,140,950,373,
669,601,259,248,264,875,675,002,704,338,816,016,063,156,328,514,787,465,195,
133,099,703,439,797,754,096,315,782,483,569,604,344,908,441,140,460,363,350,
504,934,174,119,438,010,783,602,251,804,602,980,193,980,671,900,113,842,774,
510,576,371,785,016,498,329,698,927,256,654,413,292,214,140,147,701,334,409,
936,597,770,595,995,457,093,822,360,019,106,860,421,741,058,236,450,484,006,
314,351,694,097,328,121,880,347,293,550,686,990,390,594,459,714,121,502,312,
130,919,257,735,605,039,076,922,212,949,289,999,251,895,508,975,888,839,325,
386,161,949,095,858,791,223,043,291,770,082,516,153,648,381,608,537,013,532,
738,817,577,513,092,978,887,346,506,517,770,203,951,457,291,731,880,525,344,
439,335,827,793,617,060,284,909,361,558,346,626,193,652,328,952,887,962,771,
324,668,252,113,080,218,511,237,148,286,140,511,546,776,220,327,654,018,104,
534,058,359,703,305,994,563,247,363,609,119,687,867,418,857,506,091,612,301,
123,291,103,623,662,465,006,194,546,747,014,531,948,266,622,864,773,087,603,
004,487,399,946,743,228,748,295,287,419,053,994,474,809,586,351,248,928,600,
880,860,774,645,779,939,854,110,931,657,086,166,176,143,894,995,323,765,369,
993,458,848,650,217,980,046,253,316,845,975,699,928,489,530,505,102,746,081,
037,106,791,016,989,371,207,596,289,586,590,625,770,801,133,273,862,548,122,
662,089,066,013,013,267,854,045,778,768,858,304,194,269,068,340,301,278,613,
744,268,714,591,614,513,630,912,948,321,094,460,775,040,325,506,908,019,086,
155,379,291,253,681,817,238,142,706,140,827,970,479,413,150,651,875,864,599,
190,688,258,976,223,347,081,604,500,519,936,935,895,542,148,754,006,803,989,
785,407,510,732,844,370,488,095,526,624,911,338,039,880,522,015,003,490,150,
478,451,177,432,378,614,852,220,596,713,035,416,363,272,794,560,600,291,195,
408,751,403,000,920,418,769,304,612,712,184,690,449,090,859,866,485,871,492,
904,138,596,126,488,232,996,124,628,726,011,521,928,242,433,029,166,571,478,
585,750,838,232,529,251,816,580,519,862,801,917,752,947,090,697,762,704,384,
848,583,737,706,809,235,089,438,160,451,500,110,890,464,012,706,794,783,350,
716,487,180,646,134,058,435,845,383,735,969,845,908,716,874,297,223,290,438,
328,079,576,445,632,319,996,402,978,285,038,154,995,503,748,997,600,106,747,
218,882,503,269,854,123,529,642,362,740,635,892,737,142,010,712,022,360,409,
413,790,317,193,363,064,294,328,796,789,292,328,667,587,234,509,551,019,728,
139,307,404,633,123,123,668,638,089,768,115,351,424,893,333,866,316,232,419,
014,450,962,732,426,084,153,563,224,102,955,740,183,567,834,366,005,829,597,
847,712,813,947,180,195,431,481,898,087,588,291,854,864,767,808,998,868,904,
053,665,457,335,393,650,418,712,135,312,394,157,758,585,868,365,584,158,566,
693,171,109,241,129,815,656,048,058,417,434,929,902,283,234,844,363,907,324,
964,418,039,544,451,207,272,970,856,033,787,757,469,627,618,475,129,002,215,
726,349,240,085,281,770,133,629,863,935,143,457,488,586,745,633,199,798,149,
269,750,092,028,679,901,806,717,087,827,162,158,096,234,524,671,624,792,043,
316,103,774,571,011,165,223,769,952,376,005,324,601,640,306,467,594,619,767,
481,041,702,721,414,538,985,063,935,049,588,412,221,763,880,684,467,630,114,
780,910,011,255,855,803,436,020,139,047,404,120,663,059,635,207,081,947,559,
281,476,915,914,495,333,644,225,753,138,874,201,857,202,933,067,539,692,561,
172,496,387,159,692,618,434,612,867,158,797,932,112,574,296,886,841,054,418,
959,214,519,975,843,906,784,497,492,026,945,758,454,624,715,461,782,557,713,
337,169,596,216,255,150,393,301,961,435,541,392,968,791,202,294,524,698,970,
473,146,138,661,030,256,788,439,312,537,081,835,053,967,269,084,167,575,581,
017,976,365,163,968,402,487,882,785,505,649,154,772,651,087,457,737,560,823,
389,524,175,899,471,793,221,719,169,881,478,704,641,839,715,877,179,000,215,
778,313,259,228,821,711,952,590,653,658,446,414,322,056,786,971,186,151,223,
095,748,152,798,231,003,470,278,134,251,095,964,423,025,472,841,149,955,343,
131,335,929,946,837,522,139,466,596,260,204,287,196,964,380,539,871,551,220,
440,239,975,406,507,596,625,118,073,856,976,354,569,608,769,693,116,957,021,
670,353,679,119,984,945,309,685,950,571,941,696,025,950,339,524,994,985,599,
184,877,067,848,258,958,980,280,199,703,906,159,872,202,487,517,000,783,829,
211,705,905,780,971,216,350,722,174,647,277,750,989,852,068,149,714,224,684,
956,518,481,784,390,908,943,653,669,500,513,705,804,206,113,101,531,308,344,
334,168,245,940,460,568,879,909,833,676,478,106,901,484,476,480,453,905,010,
981,990,461,570,253,153,596,593,343,724,124,016,860,571,648,473,516,268,032,
179,526,654,379,756,289,242,724,666,257,550,588,151,285,430,840,579,577,420,
884,853,717,519,235,640,248,244,170,383,537,382,839,636,030,999,924,821,379,
288,817,330,355,993,296,049,034,704,450,618,660,336,015,561,122,568,340,712,
172,593,930,479,911,197,401,611,232,190,365,943,599,965,261,441,028,795,945,
560,201,261,268,979,505,707,029,367,570,965,744,159,317,646,874,968,051,259,
999,806,353,832,818,369,520,444,719,591,255,653,813,252,462,756,414,978,261,
832,566,396,947,317,203,295,042,711,227,880,209,958,848,375,275,350,893,364,
661,809,622,152,474,711,621,006,376,483,084,654,659,483,881,681,622,446,385,
010,054,505,709,423,631,164,907,745,698,828,140,767,012,210,948,716,039,559,
306,441,656,980,974,756,634,173,942,310,503,976,221,559,273,451,891,439,566,
716,427,160,023,806,268,026,229,704,313,333,566,554,176,096,857,964,513,788,
249,020,307,901,244,518,980,856,554,795,786,548,542,354,337,494,057,636,935,
343,737,272,470,536,984,413,962,240,577,649,063,128,903,370,319,420,650,812,
225,995,859,594,333,972,616,306,098,716,188,348,574,779,138,815,316,615,029,
331,717,027,689,662,033,099,660,406,678,985,248,560,163,405,700,517,791,348,
272,300,999,971,466,360,328,739,410,222,106,950,164,348,290,247,960,373,364,
293,705,837,090,226,585,348,580,703,309,494,075,525,159,444,034,725,582,470,
456,133,140,586,931,954,618,124,607,697,588,839,918,704,860,229,334,498,232,
516,189,420,108,152,713,812,542,616,171,594,808,754,689,931,472,483,942,226,
386,086,461,804,683,759,983,504,107,066,194,586,928,478,791,403,122,513,958,
819,339,609,942,165,934,278,042,774,572,267,929,287,084,123,181,272,101,364,
493,340,559,392,265,998,067,397,797,843,249,055,659,344,215,785,652,925,763,
363,056,355,837,730,857,335,069,959,718,951,448,632,521,492,252,046,417,740,
637,166,782,470,010,571,442,880,399,443,482,773,985,391,198,033,248,976,655,
781,825,331,610,988,215,525,143,840,570,009,412,733,420,690,068,055,382,565,
304,757,856,582,170,998,703,484,358,916,221,003,646,127,298,686,339,408,364,
549,900,807,531,893,198,670,052,909,566,710,939,089,023,309,733,034,953,120,
825,179,984,023,793,634,501,563,828,158,824,585,885,545,867,195,562,801,762,
752,066,695,536,695,432,333,081,550,400,322,975,686,352,278,094,673,140,582,
777,457,832,794,522,648,128,242,283,781,604,921,279,221,983,231,679,234,944,
975,761,909,279,976,583,712,340,094,130,615,703,499,836,340,407,958,228,270,
348,768,074,432,681,142,334,061,719,763,419,006,586,775,812,851,537,497,045,
471,793,960,509,305,080,579,997,853,649,321,116,462,960,429,031,231,705,312,
030,703,768,618,921,704,537,678,313,796,645,948,289,620,947,887,719,756,199,
643,210,700,818,403,229,294,213,831,542,392,499,705,215,995,551,533,382,504,
970,089,275,866,126,132,853,033,831,265,408,352,509,695,513,789,537,482,765,
340,984,385,170,342,866,608,329,088,208,192,285,373,766,674,534,985,601,239,
982,407,371,673,870,652,061,549,552,665,439,266,714,886,773,921,526,282,511,
157,394,733,147,606,350,646,429,951,498,144,047,324,698,163,116,195,440,784,
362,247,203,532,256,608,963,392,883,110,499,320,783,207,800,067,517,287,320,
833,958,436,673,114,035,941,657,393,449,560,257,014,125,616,875,988,100,793,
522,843,299,105,898,738,677,633,504,277,910,088,349,936,177,192,043,563,251,
821,422,597,483,534,670,900,889,058,633,958,280,479,222,555,726,772,058,458,
884,879,423,570,546,269,074,934,417,033,443,341,593,016,436,626,559,095,587,
742,388,004,004,745,713,830,126,701,939,503,425,584,661,389,432,926,519,697,
300,073,473,606,454,701,123,844,339,806,108,725,018,431,698,243,096,784,877,
364,842,690,097,370,490,033,712,214,522,228,451,741,192,592,678,729,681,672,
172,145,156,074,080,738,503,111,282,841,437,912,003,545,837,518,667,734,040,
672,531,687,868,739,393,026,501,715,179,374,836,236,585,303,118,422,669,111,
357,119,608,336,822,978,327,642,592,179,008,937,959,549,132,540,671,285,769,
051,924,380,702,520,156,616,131,058,012,515,682,050,651,373,805,490,716,197,
711,663,089,225,136,661,446,455,577,929,542,533,410,699,251,202,503,424,599,
174,842,540,309,498,625,995,300,809,547,858,008,234,049,224,583,442,563,414,
611,567,446,392,482,273,412,026,759,996,690,220,127,463,511,248,145,084,929,
924,445,536,745,797,910,955,186,642,075,145,973,729,674,413,374,113,633,437,
924,484,149,345,392,726,458,666,561,615,111,727,240,634,636,316,862,992,536,
696,330,229,534,184,460,483,959,448,813,474,234,357,789,412,103,828,744,061,
017,525,749,134,524,622,732,207,070,608,938,127,992,674,363,820,611,437,120,
214,353,530,105,161,137,153,812,560,633,002,673,986,378,944,071,896,928,000,
439,687,847,715,111,318,075,567,086,225,699,058,099,177,715,043,950,416,779,
360,326,843,337,737,331,050,386,785,673,341,009,197,102,550,030,916,358,556,
514,704,413,906,879,840,046,542,688,411,278,795,785,516,217,753,436,395,619,
582,654,273,008,071,320,593,519,345,454,392,742,547,537,562,327,064,177,492,
880,032,086,985,819,698,288,219,469,356,406,050,884,221,921,230,737,953,089,
118,595,142,198,363,380,772,753,628,445,657,300,151,485,176,196,610,237,364,
849,050,142,719,562,641,599,929,146,774,539,477,242,577,851,479,926,475,676,
934,795,615,501,838,113,454,947,596,554,812,647,897,280,087,045,738,419,181,
312,737,034,313,208,006,327,556,626,540,530,154,774,260,346,176,065,236,225,
763,665,934,646,906,431,725,145,750,197,943,928,608,975,836,816,207,964,016,
595,829,642,371,187,811,908,650,200,935,703,826,379,502,708,683,413,681,671,
696,642,215,298,501,815,857,405,675,049,145,184,950,175,857,306,913,645,171,
874,619,224,925,925,420,130,111,355,881,390,432,688,505,315,865,533,234,855,
325,327,313,970,649,681,720,407,159,809,323,185,702,510,614,010,189,746,014,
259,488,567,687,320,771,625,248,570,556,502,243,051,021,312,124,825,939,017,
533,492,206,355,386,746,693,481,584,104,136,321,363,571,785,859,868,029,921,
286,418,533,487,457,528,899,638,910,101,434,526,238,684,676,519,458,166,455,
253,913,275,078,625,079,843,216,930,343,566,800,526,933,902,405,741,991,173,
253,152,088,191,924,989,894,768,453,451,865,796,770,635,758,887,503,525,893,
669,772,833,215,950,126,061,172,594,107,061,557,523,358,785,371,022,525,854,
994,928,496,067,249,755,370,070,413,100,205,639,677,802,503,097,785,340,624,
186,581,587,375,003,962,030,565,414,330,003,789,775,312,997,321,609,240,899,
964,809,969,022,563,347,502,371,982,881,135,177,990,230,410,438,382,079,002,
850,348,532,055,800,783,725,166,159,026,847,835,272,615,271,203,096,485,322,
090,874,208,401,159,787,388,511,662,568,084,272,693,335,458,217,321,188,069,
828,701,569,269,027,372,092,765,432,994,954,931,788,302,373,468,280,720,499,
882,512,469,011,743,167,975,685,828,875,543,605,571,896,244,632,115,269,801,
182,601,354,775,096,578,317,586,099,760,228,891,197,490,617,482,578,863,059,
029,792,379,856,103,747,700,091,258,386,605,616,579,493,320,477,650,868,947,
834,464,629,981,446,089,563,154,002,532,830,294,185,736,988,784,268,530,321,
613,539,015,303,402,763,690,304,086,422,541,636,682,695,366,787,327,610,383,
403,463,781,433,566,259,236,258,286,448,874,153,930,628,192,977,696,096,089,
041,634,430,351,200,084,786,432,217,259,012,029,888,419,100,454,226,927,654,
529,044,655,268,713,616,651,449,838,815,795,344,176,609,693,000,496,458,635,
517,658,589,810,216,865,710,409,205,354,239,241,398,503,312,761,070,329,878,
489,062,809,689,730,813,617,185,865,205,629,693,686,991,405,310,814,317,159,
468,661,232,205,164,148,145,389,120,361,453,794,695,657,602,737,051,703,250,
404,906,425,598,125,773,727,553,690,600,973,681,735,161,470,798,388,056,124,
201,537,116,750,532,774,448,576,547,669,441,571,522,346,448,027,476,352,593,
734,742,030,086,261,376,413,795,965,386,490,700,640,977,995,715,344,727,035,
085,518,552,886,758,912,183,150,498,165,899,525,739,895,956,183,486,258,333,
662,668,894,122,898,966,685,253,386,625,097,973,650,250,408,384,834,754,718,
722,569,798,558,783,423,395,684,969,265,876,026,525,319,663,827,133,054,600,
021,085,024,253,131,888,091,795,252,345,317,467,842,044,055,148,518,757,008,
361,138,090,470,684,894,877,362,042,911,477,708,979,297,770,298,830,660,285,
938,762,908,649,414,023,541,081,788,124,689,538,289,387,995,394,757,123,030,
201,300,757,593,320,418,898,754,514,515,094,833,563,174,838,939,788,704,014,
646,652,036,633,444,375,730,511,538,700,313,177,868,564,089,433,679,678,502,
196,020,207,227,156,493,563,395,507,533,751,416,810,057,847,854,176,011,070,
700,669,872,932,156,689,949,366,108,399,043,825,520,905,384,153,390,738,453,
854,428,551,033,722,676,223,785,220,907,423,145,144,688,707,707,015,885,422,
997,812,392,446,374,075,402,512,020,658,640,935,478,157,739,598,282,303,284,
592,890,668,100,414,240,279,037,751,645,184,372,998,504,560,421,928,344,842,
843,162,193,009,590,573,995,832,935,099,748,480,793,723,850,411,970,615,024,
135,248,950,700,111,825,303,637,590,277,035,751,932,886,380,864,643,675,598,
333,921,956,170,443,643,929,828,456,192,511,357,667,530,684,397,690,849,605,
305,021,661,275,701,908,035,084,422,985,286,333,858,016,484,483,689,171,169,
796,987,518,482,745,472,355,758,538,364,765,892,538,988,333,059,738,195,363,
050,806,173,946,320,615,741,016,969,461,622,285,217,971,674,744,298,122,386,
620,812,297,925,887,673,228,234,382,224,485,869,113,511,428,214,047,082,141,
945,523,640,283,251,759,966,080,079,289,780,546,803,213,839,921,044,108,355,
416,337,370,771,976,541,907,221,239,620,272,804,675,936,045,123,964,445,812,
397,783,905,109,864,036,767,769,781,754,294,960,134,054,476,129,297,506,310,
523,058,741,717,528,155,053,579,805,289,344,566,618,860,456,316,020,836,979,
730,054,121,131,740,311,162,616,722,081,524,717,181,253,484,302,389,616,990,
979,976,562,924,743,112,756,431,623,476,334,655,690,400,371,673,694,744,665,
460,652,850,479,806,745,958,284,689,155,563,227,678,999,714,810,343,689,666,
045,754,599,017,540,626,425,294,573,898,061,851,324,327,370,022,778,096,562,
035,655,113,871,454,956,668,753,550,234,729,574,730,232,832,979,429,787,476,
081,342,227,667,922,392,037,198,192,905,865,112,803,886,705,106,006,328,767,
876,805,541,031,879,458,379,077,397,765,182,750,106,873,879,473,024,603,218,
892,226,447,398,680,190,752,526,521,038,996,808,099,131,239,262,692,043,179,
355,686,518,198,883,132,338,424,787,651,446,204,945,596,061,794,169,460,277,
384,807,616,840,336,819,420,515,603,012,963,248,768,346,280,605,220,133,427,
786,802,021,409,191,583,702,907,291,126,365,612,264,646,847,975,229,249,337,
821,328,520,686,003,299,293,876,286,920,234,667,381,290,935,170,701,054,399,
410,707,270,731,038,155,306,177,032,850,672,197,785,541,936,499,229,973,646,
991,879,592,115,333,796,087,150,996,869,817,140,781,796,025,645,661,071,770,
985,382,102,387,128,507,738,791,151,648,108,883,325,282,493,525,889,909,905,
970,989,560,222,173,057,743,775,865,009,987,041,779,411,809,184,226,883,700,
079,582,926,252,851,598,562,474,191,788,410,344,806,577,432,292,222,762,165,
103,553,868,333,300,897,462,290,073,672,389,213,675,679,144,295,694,408,042,
035,632,479,353,994,925,891,455,989,129,534,486,475,950,881,421,266,037,362,
722,889,402,638,012,659,650,526,514,494,924,412,132,168,606,400,450,011,112,
966,602,224,457,863,263,373,135,574,425,483,505,381,534,958,222,546,147,277,
421,384,688,863,525,741,463,423,017,834,298,362,471,870,363,990,144,305,356,
902,212,165,245,546,134,790,152,322,065,027,135,217,622,874,280,561,833,635,
516,700,908,644,382,945,759,557,466,041,902,539,665,389,719,463,768,584,214,
435,370,825,759,819,451,297,597,266,075,346,685,501,628,858,794,492,561,532,
728,060,738,601,537,258,358,730,524,844,145,848,778,626,124,021,524,243,169,
667,753,940,363,920,736,352,868,346,942,454,047,401,920,842,765,429,508,340,
007,456,942,428,367,998,535,748,972,398,023,600,569,418,906,325,293,264,728,
413,413,938,653,378,767,788,220,096,545,037,979,484,943,126,830,128,904,670,
814,943,541,460,109,081,725,374,634,242,852,196,492,253,132,791,678,995,724,
684,477,998,627,894,010,597,955,097,989,384,605,847,646,512,670,858,028,896,
751,297,510,653,706,798,394,290,021,386,130,278,672,611,493,744,669,376,890,
541,970,387,050,294,472,793,536,689,643,055,214,744,103,627,669,829,200,650,
421,314,105,365,362,363,644,709,711,732,259,421,634,389,577,953,660,206,893,
672,861,191,991,021,898,223,209,250,540,738,606,567,110,556,892,879,778,511,
419,153,920,756,089,782,722,124,993,358,427,253,635,696,165,032,650,378,265,
763,128,935,433,287,675,364,434,697,067,230,527,304,941,822,743,638,904,580,
030,336,540,290,166,891,080,246,060,327,506,048,526,062,491,289,577,526,938,
051,242,179,058,164,467,941,938,251,142,886,477,218,977,536,017,769,071,173,
798,720,152,840,806,686,831,989,577,399,593,557,816,471,652,036,183,580,371,
323,698,887,216,419,028,933,406,439,816,543,025,156,009,724,835,274,688,985,
839,850,736,133,400,246,241,733,352,415,207,356,552,364,538,627,304,876,350,
952,482,288,752,736,118,206,610,793,912,001,548,894,619,515,952,642,231,502,
685,223,609,489,166,776,899,320,905,223,222,503,321,158,606,885,267,730,174,
513,129,177,366,737,479,093,060,551,412,945,172,717,401,108,901,616,847,680,
654,948,166,663,392,440,636,368,075,992,820,141,186,366,903,651,825,789,067,
415,315,738,459,657,596,651,971,286,345,207,367,341,879,564,729,089,640,794,
245,280,955,457,454,943,371,281,770,067,468,739,956,593,060,646,641,744,037,
583,559,276,472,578,708,010,265,599,625,157,844,777,226,583,122,418,193,110,
627,169,371,760,079,786,451,352,968,901,789,337,272,189,894,707,481,755,111,
855,545,574,107,589,016,157,999,484,458,365,518,814,589,870,974,495,798,244,
192,050,122,572,798,933,235,003,507,380,691,392,420,068,662,513,671,627,982,
850,005,772,518,216,189,303,114,191,895,455,944,218,246,959,358,012,512,995,
784,205,861,181,932,270,412,034,334,328,139,403,195,519,250,061,887,438,809,
550,554,479,375,815,515,971,124,597,532,062,479,474,616,995,198,494,984,329,
628,470,243,740,949,328,934,157,779,947,849,169,476,882,179,297,282,855,500,
353,808,643,204,081,860,108,612,094,291,916,881,531,481,428,378,269,281,704,
591,291,954,503,388,738,034,487,201,477,190,171,283,355,787,253,016,543,467,
735,993,947,022,224,634,832,415,214,498,186,337,983,040,045,297,416,004,508,
881,651,395,528,980,719,111,899,714,701,078,806,017,079,299,264,017,063,410,
375,595,467,792,736,013,807,375,336,961,574,232,707,160,613,342,246,875,129,
794,036,563,841,662,178,872,177,013,029,563,277,250,443,357,962,087,228,677,
160,646,402,712,947,265,138,263,118,668,915,860,960,268,201,774,875,471,964,
768,499,886,858,587,293,129,165,325,104,655,780,842,237,784,009,115,639,242,
150,757,552,150,321,059,323,378,278,553,120,099,334,248,372,044,849,893,942,
975,080,357,376,285,982,618,938,842,461,174,602,769,910,480,167,523,447,461,
597,648,811,873,657,485,104,598,091,390,550,590,480,705,476,642,901,037,102,
226,817,075,013,344,963,477,939,534,511,889,294,213,588,012,119,685,878,679,
952,195,519,109,228,385,720,334,391,106,974,585,944,557,781,268,741,859,030,
474,340,290,087,048,793,042,731,431,992,955,696,424,992,838,994,652,835,872,
093,913,673,228,870,070,725,069,459,425,697,190,666,615,887,613,636,204,979,
023,878,002,923,273,905,880,033,133,585,699,535,448,277,761,425,032,606,735,
981,014,121,712,282,084,580,723,292,906,075,963,667,279,880,534,941,667,056,
863,031,790,234,621,506,331,698,298,332,666,209,029,591,650,636,126,742,553,
681,676,936,918,989,433,739,180,996,439,285,530,508,068,330,807,286,723,882,
178,812,473,668,054,482,469,508,591,888,146,900,839,679,226,237,931,962,865,
992,324,275,993,256,247,165,262,627,045,598,397,418,292,339,300,614,548,831,
461,019,512,340,991,986,926,856,544,155,590,805,946,029,950,619,252,563,973,
285,044,879,975,831,733,014,368,114,216,838,637,982,362,735,719,425,465,609,
148,374,279,708,156,027,571,558,660,970,220,323,461,055,244,256,547,496,110,
224,408,280,355,651,996,768,117,918,672,496,495,105,091,749,940,572,283,387,
178,172,855,177,629,626,477,821,635,091,765,755,740,500,216,683,362,016,337,
933,957,601,250,899,073,398,751,091,804,437,437,688,396,917,660,547,499,398,
371,406,838,133,709,415,715,217,132,841,199,702,725,430,266,965,730,823,858,
138,636,227,952,440,740,897,768,443,720,244,943,585,658,855,927,519,051,807,
553,297,031,381,466,368,974,634,690,085,573,964,653,781,908,618,750,290,112,
170,247,834,450,331,133,717,630,759,399,978,547,679,595,931,981,277,995,615,
574,202,330,988,561,016,726,882,296,846,605,500,554,995,413,507,861,826,782,
263,431,703,446,545,784,450,241,279,023,748,853,899,909,106,316,024,792,268,
008,862,171,741,404,626,987,575,315,820,325,248,130,998,520,904,036,365,577,
939,487,238,515,674,861,787,053,924,568,212,570,200,723,515,341,964,728,676,
069,704,493,151,393,737,946,147,955,853,494,192,864,969,941,993,202,535,411,
855,344,163,240,746,771,225,083,744,872,565,390,911,442,693,246,147,932,686,
261,438,120,301,877,873,531,293,602,043,896,338,025,170,590,163,511,758,254,
350,495,370,884,208,319,121,405,795,925,499,241,562,021,373,503,501,458,104,
427,236,600,615,625,591,412,591,658,469,249,868,348,689,908,164,329,453,337,
205,968,769,357,913,699,187,345,972,670,891,839,941,122,218,568,248,581,553,
856,770,517,573,416,611,498,064,624,240,406,315,385,631,670,359,750,148,940,
913,273,741,588,140,282,701,374,797,595,597,100,024,148,846,614,595,882,985,
913,844,929,147,166,895,713,747,472,229,203,950,266,459,189,861,234,802,382,
878,659,417,561,916,902,961,610,883,371,529,765,222,614,279,050,735,583,246,
984,211,834,978,117,834,470,414,295,796,685,892,523,018,620,502,542,519,695,
438,901,800,293,704,758,103,975,322,184,765,790,011,670,378,442,377,360,468,
100,425,115,826,802,426,334,219,988,183,529,144,504,567,544,533,653,691,161,
534,573,811,244,664,591,100,988,200,750,707,013,944,237,095,730,535,556,424,
207,329,380,706,063,905,889,952,724,563,757,470,480,507,762,894,714,531,501,
442,447,000,259,204,096,173,998,996,542,224,942,149,554,457,114,962,906,841,
755,761,933,713,858,605,103,435,014,503,770,453,677,583,123,737,596,979,925,
674,936,837,806,233,004,331,027,690,410,866,112,660,622,262,154,575,214,741,
567,809,807,713,703,472,557,340,314,396,523,199,435,271,171,249,010,096,789,
161,957,906,194,993,528,068,535,802,253,448,027,554,149,103,888,950,088,497,
611,444,815,168,723,406,698,975,567,679,298,512,409,211,208,231,569,418,806,
359,909,707,570,285,036,544,558,502,096,485,145,036,309,361,835,169,368,465,
456,381,322,988,454,650,944,686,935,527,986,903,517,970,277,229,183,561,559,
185,505,854,936,695,980,823,193,011,437,470,290,964,341,140,927,611,035,570,
728,715,271,649,779,612,969,120,933,020,587,812,395,376,481,006,595,175,157,
354,908,077,918,809,086,780,750,264,166,700,900,384,395,877,626,892,311,871,
760,824,716,230,504,029,012,778,234,834,747,710,361,342,157,191,548,906,271,
013,255,854,830,840,160,921,385,354,916,740,207,641,367,621,625,510,903,252,
997,483,114,262,101,933,286,686,843,657,853,157,755,767,142,945,390,397,738,
637,760,763,145,619,223,261,748,869,485,448,417,406,688,936,332,492,132,835,
733,666,001,882,919,764,777,254,787,035,328,327,913,858,839,278,044,135,969,
408,445,332,568,326,552,166,493,843,065,347,549,402,717,764,969,781,351,033,
292,701,357,415,270,577,691,648,631,878,895,687,085,240,186,083,848,382,583,
677,580,895,900,863,802,055,154,007,029,082,815,470,829,707,105,783,154,401,
520,859,600,698,614,266,864,188,311,017,398,289,940,544,392,376,307,842,248,
879,622,672,111,696,423,559,842,679,405,616,417,148,813,225,609,661,005,172,
691,531,145,496,208,874,157,641,179,889,057,078,169,970,092,695,324,647,927,
217,139,765,169,939,970,271,796,394,419,481,681,765,285,705,164,541,166,142,
236,079,004,377,333,891,654,912,493,185,667,770,392,977,765,523,922,797,851,
534,750,680,992,035,810,750,586,740,610,901,657,235,443,648,089,001,347,404,
390,934,076,923,248,053,483,746,377,300,655,917,987,654,732,937,159,785,094,
474,532,559,462,955,237,123,149,374,477,292,976,099,866,908,522,731,242,190,
799,369,763,434,580,763,899,652,096,291,985,401,198,596,225,467,365,989,419,
129,305,919,933,609,099,625,210,787,006,387,251,364,936,485,092,233,591,128,
595,182,963,282,636,177,994,733,884,366,783,022,396,743,016,708,068,229,228,
831,753,621,323,426,630,231,497,754,274,723,498,780,996,893,914,210,997,839,
266,749,532,502,091,927,543,397,177,018,299,265,438,740,202,118,543,531,548,
742,710,499,493,923,534,812,681,907,560,844,711,225,138,466,334,845,195,283,
158,442,286,090,842,009,435,990,852,737,387,248,233,843,590,850,976,571,337,
467,631,010,868,555,673,685,807,660,304,499,165,118,926,923,153,118,064,541,
199,262,078,830,884,231,292,088,148,334,478,313,266,023,620,301,395,757,876,
787,456,815,939,307,753,396,315,600,982,197,445,187,673,399,394,333,303,609,
758,989,103,592,978,053,383,422,582,728,613,638,056,140,252,747,560,390,673,
896,918,023,838,771,149,519,404,474,193,907,972,563,710,564,618,546,511,065,
385,849,983,956,258,047,960,737,234,778,412,732,502,351,071,864,392,620,944,
441,323,680,279,812,831,557,343,839,154,706,964,656,579,090,779,906,340,320,
209,966,061,310,434,365,073,921,747,872,666,952,395,233,861,358,680,141,226,
001,255,809,016,694,105,628,384,843,760,585,135,965,580,325,801,644,121,972,
202,456,160,861,044,165,114,284,933,667,069,675,172,293,786,734,972,421,261,
191,023,696,458,375,403,537,003,435,474,068,292,323,970,117,157,949,226,335,
359,808,111,349,054,713,368,721,580,156,328,295,146,956,800,015,352,496,120,
836,763,747,826,534,316,657,170,785,746,623,188,198,762,623,261,616,076,491,
692,970,988,357,054,805,636,497,398,062,042,806,691,556,479,024,809,832,695,
623,605,647,840,287,801,521,340,269,286,719,097,614,904,885,186,575,640,290,
738,012,328,791,270,719,234,565,641,203,732,240,693,620,025,008,938,968,919,
819,297,127,974,174,166,905,083,513,385,530,769,832,320,516,123,112,989,600,
199,803,041,947,329,074,577,341,154,295,008,978,593,647,323,206,860,340,209,
100,004,433,043,861,756,190,726,079,664,173,392,313,029,503,341,899,011,168,
585,418,756,853,204,067,496,741,356,793,315,338,236,162,481,562,047,518,871,
464,403,872,784,507,144,360,683,151,693,899,051,291,857,908,629,113,179,491,
104,637,035,826,426,813,036,317,328,656,732,791,389,651,563,335,947,571,384,
164,366,921,878,860,665,884,738,539,382,125,083,060,953,345,831,283,691,707,
744,011,398,216,260,518,374,177,786,521,746,357,143,338,827,521,115,276,234,
397,805,367,735,914,702,165,372,804,829,083,263,206,942,569,375,156,348,510,
263,408,223,277,380,873,662,379,159,775,615,052,952,336,831,468,709,288,122,
816,665,111,436,550,820,981,790,549,831,559,527,896,063,013,126,441,841,027,
490,386,524,682,907,381,853,499,974,115,233,650,944,904,732,033,315,793,228,
847,569,973,186,292,405,475,629,590,484,118,393,335,655,350,638,196,706,666,
567,117,704,715,573,391,976,797,694,840,972,796,087,934,006,475,016,260,315,
464,640,254,737,189,552,095,058,985,714,694,411,711,384,141,711,888,273,855,
612,933,152,114,317,778,168,842,005,869,170,384,047,013,534,241,814,911,530,
998,020,689,436,277,204,040,869,062,148,690,016,056,566,114,105,748,558,076,
803,360,492,668,196,318,565,154,544,206,062,297,965,231,253,146,541,512,093,
895,977,361,372,374,946,127,829,700,825,596,032,607,167,769,074,194,402,725,
142,572,198,594,119,970,419,398,326,251,661,651,587,438,076,588,478,836,497,
944,719,234,379,933,854,336,475,541,583,043,553,484,200,650,043,692,705,307,
346,806,924,092,680,868,559,084,061,968,011,956,577,818,291,775,254,994,790,
293,625,558,564,205,786,227,803,937,108,720,311,185,576,939,629,353,764,750,
583,470,424,774,580,908,968,132,085,881,008,775,919,416,466,749,777,885,207,
036,722,049,704,433,566,591,649,059,479,118,582,309,443,829,767,391,752,688,
478,666,464,549,455,990,412,888,919,660,592,817,570,356,642,313,050,729,294,
841,444,687,429,576,646,673,504,158,158,790,381,690,857,797,477,819,764,307,
344,506,804,243,857,557,370,378,268,664,086,994,843,331,230,756,287,972,753,
053,111,976,651,312,030,767,393,096,832,583,873,983,422,573,864,454,529,562,
161,099,748,840,623,349,571,145,198,683,074,057,451,327,812,281,542,783,697,
821,668,892,534,268,441,705,075,190,441,252,697,283,389,223,474,930,544,191,
145,389,727,823,523,427,480,163,887,897,134,471,256,213,346,026,073,967,080,
156,829,815,754,259,016,924,663,682,140,667,973,846,513,224,568,441,838,408,
977,102,170,645,490,640,473,389,101,240,974,786,237,248,091,004,728,157,362,
065,434,596,367,940,351,061,232,740,598,713,439,346,369,987,122,343,792,056,
009,890,654,209,950,588,176,340,349,888,036,115,022,935,100,766,917,292,423,
349,708,633,693,488,824,094,999,576,207,437,933,284,771,930,126,786,960,744,
175,385,861,745,118,837,526,544,588,768,682,817,464,428,643,132,498,388,609,
728,023,344,204,122,751,483,356,837,385,453,680,233,499,008,397,470,038,660,
389,923,497,858,531,614,489,955,098,241,562,977,450,849,354,978,306,455,067,
604,487,297,666,272,386,097,017,545,338,700,826,198,469,338,744,288,540,965,
137,386,969,287,171,624,345,301,130,858,488,102,166,076,481,673,628,196,428,
058,712,013,801,933,920,635,446,021,000,323,756,340,295,610,527,380,318,361,
151,186,365,239,989,456,404,822,653,544,421,097,078,950,820,089,211,693,205,
370,020,095,730,036,803,598,600,914,521,141,776,293,346,400,383,758,838,154,
008,684,410,742,824,275,387,464,189,378,835,838,425,463,563,434,156,818,731,
009,545,668,967,723,988,007,039,813,173,270,581,872,509,915,581,507,623,185,
532,229,563,044,706,968,650,721,307,786,608,852,127,329,695,597,320,581,432,
950,119,462,679,186,629,187,061,488,633,845,181,332,188,785,498,729,448,413,
093,797,781,082,154,801,077,670,510,216,837,115,018,663,355,063,604,600,108,
634,675,388,184,125,137,657,345,506,889,011,537,766,977,228,358,878,832,502,
291,104,726,791,177,344,850,679,539,654,380,890,435,909,980,033,967,165,291,
586,958,889,281,740,408,084,146,721,309,181,429,735,029,786,388,015,279,283,
560,059,425,057,546,457,793,056,802,022,914,605,064,558,147,014,016,188,855,
143,353,302,066,714,127,263,680,644,625,389,454,431,889,561,705,564,471,021,
642,635,657,588,362,312,709,209,587,724,459,157,450,939,497,775,445,975,869,
083,531,723,043,991,739,205,694,448,956,934,881,805,919,666,769,845,727,399,
254,933,972,331,047,322,485,387,537,461,457,365,729,711,896,391,706,845,193,
821,361,374,619,661,149,203,561,452,372,970,843,336,784,961,305,494,565,984,
585,134,556,537,633,091,052,933,190,490,345,190,896,750,128,377,101,416,587,
911,654,614,188,515,695,074,601,913,651,032,049,822,691,965,335,263,774,136,
795,000,900,576,728,900,970,988,273,408,816,332,272,310,544,899,926,690,002,
785,816,669,290,305,844,846,988,406,016,986,889,927,701,680,830,352,665,691,
596,343,125,055,020,233,382,119,388,119,246,559,733,864,244,364,494,979,042,
259,201,333,792,444,878,937,525,383,326,157,507,950,453,216,273,084,755,249,
926,334,796,954,213,266,160,731,264,961,740,145,191,457,939,526,946,779,826,
613,205,343,018,132,103,168,125,836,468,142,564,969,495,712,678,367,642,298,
153,714,230,823,400,680,417,308,991,375,760,220,255,972,510,756,318,543,442,
482,178,487,041,404,591,370,836,933,685,821,098,934,557,518,514,719,752,755,
009,154,450,673,639,902,990,414,416,359,511,833,131,705,275,879,911,559,039,
349,275,676,291,132,309,919,896,481,296,698,258,319,778,503,502,852,296,248,
787,689,312,477,286,147,139,128,413,496,302,059,822,794,591,141,426,552,183,
516,606,802,906,415,136,956,665,434,794,830,656,922,530,973,166,247,261,258,
159,377,659,416,983,449,553,672,872,591,659,171,035,076,426,770,335,718,928,
979,579,505,790,945,924,175,959,941,091,504,215,631,862,514,133,271,296,995,
680,869,003,532,513,716,436,311,869,766,331,417,818,003,691,981,519,283,017,
518,771,269,020,353,564,911,101,987,787,744,010,563,515,939,027,071,783,936,
611,759,226,815,878,378,310,540,535,050,430,700,374,718,134,605,573,695,813,
687,382,757,930,011,239,629,547,663,228,986,571,725,317,254,689,959,634,475,
301,527,251,878,855,503,467,789,148,956,185,217,109,310,417,693,585,413,183,
463,522,015,706,908,477,945,863,716,894,101,504,952,313,250,166,003,069,898,
918,770,962,943,189,293,864,635,060,100,746,719,165,278,291,043,950,802,468,
500,880,912,659,444,956,100,028,028,700,756,510,520,917,446,648,836,309,051,
176,893,051,400,884,251,483,359,683,104,521,940,815,293,281,531,032,572,445,
811,276,937,183,347,451,368,927,971,795,597,500,415,300,014,201,334,798,933,
316,069,921,183,747,370,047,740,583,824,461,983,810,724,075,619,609,184,550,
971,491,915,838,827,320,967,408,269,692,215,635,249,688,465,122,376,351,937,
928,790,551,134,022,103,069,405,855,237,735,803,141,972,340,700,709,965,829,
858,409,914,481,410,370,164,681,180,876,227,703,917,056,769,053,895,394,332,
794,840,034,709,051,898,372,288,626,606,516,786,252,013,739,722,700,546,137,
573,872,015,665,761,810,913,358,848,810,473,753,300,543,879,328,962,200,001,
697,184,903,383,085,600,082,784,148,167,432,181,361,332,772,647,498,199,125,
974,613,469,732,410,268,028,418,076,748,087,199,444,601,324,443,839,377,573,
498,636,139,957,100,354,225,715,989,829,317,443,485,777,182,220,786,882,794,
239,963,033,970,553,640,252,158,567,432,635,092,074,850,410,426,652,392,542,
395,251,558,043,833,973,258,146,646,345,686,130,526,328,901,780,338,131,263,
233,326,485,469,048,820,963,728,637,096,504,676,930,168,538,309,451,343,634,
258,827,471,470,615,214,160,936,917,861,495,044,931,572,854,900,917,141,744,
702,983,705,385,222,170,071,929,688,511,183,146,709,627,963,872,329,622,793,
201,467,821,197,934,900,395,163,190,826,928,630,989,954,563,820,325,067,689,
178,727,626,443,225,493,072,135,015,500,553,412,813,103,481,253,394,797,311,
569,896,287,139,199,422,828,236,806,993,397,645,736,657,331,551,939,067,852,
749,518,913,840,265,291,256,266,936,367,924,720,397,163,439,350,890,550,122,
064,373,642,348,786,153,849,114,627,830,134,455,250,498,743,891,383,652,080,
045,130,576,932,274,972,910,000,693,249,501,307,339,809,816,369,871,903,525,
177,006,922,203,730,398,838,830,909,680,028,948,499,207,701,594,511,720,639,
218,910,356,314,170,937,077,124,790,462,222,960,927,904,168,983,513,793,488,
269,353,930,715,200,666,199,351,060,723,503,191,940,346,826,581,845,789,227,
425,409,722,612,140,099,451,182,375,040,858,944,233,905,400,221,015,061,024,
613,460,189,701,882,818,678,983,747,764,856,765,092,639,888,335,643,111,627,
817,018,876,124,368,024,240,859,413,716,371,711,586,205,276,511,599,923,024,
932,954,798,466,123,404,055,851,451,569,937,174,958,943,564,664,811,085,997,
132,334,488,915,498,156,938,546,164,841,713,640,378,461,797,624,114,356,863,
127,762,544,397,475,889,691,044,608,118,334,952,167,805,938,457,883,970,365,
671,828,609,082,080,261,150,265,129,986,347,746,118,062,241,587,434,256,836,
670,429,832,410,586,741,275,692,573,817,821,934,810,369,460,434,980,933,664,
310,937,465,274,821,421,804,224,534,016,988,562,545,162,565,262,977,711,802,
760,738,996,149,896,136,551,436,152,354,758,093,566,528,615,623,536,076,723,
951,241,013,002,979,605,767,317,076,599,322,514,645,229,487,610,717,917,704,
298,534,372,755,716,832,442,148,296,626,007,218,998,865,318,696,967,680,161,
869,220,521,920,565,279,551,728,136,689,387,843,077,557,157,522,022,144,612,
108,283,843,299,030,655,466,552,076,760,613,718,296,423,746,235,304,041,584,
799,255,444,087,851,697,759,718,428,336,726,385,301,556,545,915,591,543,121,
166,989,289,469,460,912,447,994,112,681,038,574,427,657,784,217,236,546,802,
436,290,722,859,091,209,634,374,274,944,732,440,209,978,684,706,041,961,455,
907,056,696,274,795,529,206,180,909,294,450,413,782,821,010,754,774,449,025,
724,767,184,618,983,681,018,345,009,492,681,385,544,218,487,292,745,721,262,
493,288,064,734,031,059,538,329,386,821,376,355,600,525,630,196,750,740,530,
946,410,228,816,090,398,836,771,861,544,375,252,581,867,384,259,702,939,035,
122,167,564,055,912,815,773,160,432,722,507,860,416,814,078,077,805,970,177,
771,103,952,553,687,625,770,069,145,419,118,068,619,519,168,356,932,580,343,
116,260,615,225,517,105,072,391,251,927,490,274,746,243,935,028,183,553,329,
854,228,865,706,545,621,552,777,377,696,778,232,831,554,279,387,166,325,566,
106,394,654,407,247,221,895,199,781,399,443,335,230,514,435,489,624,031,885,
279,303,901,964,131,522,950,727,343,096,044,104,592,294,041,748,742,324,686,
389,881,797,647,304,686,221,435,622,503,151,174,505,138,777,044,275,152,259,
753,132,363,990,441,250,194,220,727,287,356,927,281,519,942,615,865,794,426,
621,114,307,592,041,954,233,957,308,566,454,798,431,917,718,560,516,951,385,
495,157,706,872,512,635,828,652,557,171,566,805,949,888,591,508,363,710,228,
170,128,387,296,245,704,432,819,020,088,458,203,674,824,778,107,887,178,921,
525,628,982,600,081,206,608,715,673,591,354,313,055,177,387,432,008,998,061,
338,153,716,884,732,607,922,930,854,793,224,750,372,243,680,524,694,968,599,
041,866,575,160,160,524,085,517,709,065,243,926,530,605,719,776,036,714,652,
062,572,214,090,813,546,924,602,516,627,003,422,866,542,767,172,200,954,331,
348,559,141,243,363,343,039,535,394,438,255,386,171,654,140,975,821,535,631,
389,035,862,214,985,389,535,176,225,001,305,472,014,526,715,848,423,013,496,
421,898,985,043,400,499,518,922,509,097,836,672,790,171,248,759,624,128,528,
626,634,858,858,984,624,918,564,334,440,665,209,475,073,134,509,687,024,078,
249,119,946,755,792,047,382,546,496,950,225,274,017,009,381,135,681,580,562,
538,687,276,153,719,175,108,798,012,110,607,049,962,910,224,340,190,360,994,
414,229,760,612,258,213,209,490,273,855,797,249,828,528,420,445,002,723,557,
670,217,702,676,888,622,358,692,643,884,190,771,398,785,506,754,280,206,377,
587,817,578,493,930,256,035,367,543,357,595,726,543,387,890,730,837,956,482,
031,420,556,056,100,469,447,068,707,846,007,653,784,628,109,956,474,620,932,
688,284,879,125,967,145,403,290,018,812,932,733,908,195,821,739,422,052,932,
609,220,350,780,199,295,716,404,260,235,192,687,710,779,631,564,595,823,056,
804,388,151,205,113,866,082,259,130,643,253,455,825,453,025,703,500,106,094,
341,513,450,678,090,706,362,751,637,337,524,433,226,248,021,974,697,576,001,
775,301,064,389,723,134,205,584,825,221,107,763,043,674,474,108,534,238,603,
538,779,507,864,609,391,545,146,480,241,179,400,410,401,802,812,251,358,807,
045,548,672,202,796,647,809,831,525,866,917,564,775,422,094,585,823,813,489,
500,275,554,038,071,297,248,148,488,792,870,790,197,635,433,624,149,417,685,
196,183,152,001,407,471,337,177,085,727,061,856,715,480,550,922,802,478,170,
666,937,155,261,867,070,914,204,739,520,632,282,574,712,202,091,447,555,771,
804,726,314,777,233,131,472,006,786,721,239,356,808,480,783,558,514,024,938,
702,263,207,593,950,569,154,483,240,131,790,516,184,730,904,054,218,800,068,
149,741,463,501,571,329,020,080,994,308,399,209,029,187,968,843,662,531,692,
708,969,816,788,917,966,557,837,585,919,547,042,780,218,208,449,524,007,583,
988,354,960,471,904,548,608,991,414,697,588,278,015,598,373,297,898,990,670,
845,604,472,566,178,607,820,010,623,748,221,525,939,287,387,753,222,270,945,
369,632,744,279,079,482,794,248,424,583,932,937,147,410,675,406,113,736,910,
685,475,315,494,580,896,437,644,039,140,312,065,238,508,740,715,242,439,963,
288,504,147,558,017,468,445,818,906,658,934,313,411,621,046,670,589,984,861,
813,188,739,683,502,872,303,616,793,390,521,738,454,967,994,026,104,770,205,
817,024,535,269,143,913,191,826,463,566,793,146,369,308,559,553,159,347,081,
696,555,233,866,527,544,389,513,924,277,910,488,728,485,998,336,992,079,324,
379,474,831,331,273,147,127,586,896,915,086,044,272,040,603,673,328,886,934,
234,918,787,240,969,362,862,671,631,022,176,329,049,544,356,918,036,051,390,
659,333,941,793,408,512,673,682,647,298,879,732,873,363,054,561,495,028,067,
155,101,782,076,282,324,199,196,139,905,106,201,491,750,269,871,388,396,595,
442,864,772,993,604,746,463,679,808,802,303,508,495,825,433,497,732,575,143,
919,157,116,395,714,589,777,109,871,461,517,239,933,851,429,572,297,178,931,
772,894,209,508,252,864,570,336,980,884,543,419,649,750,729,442,548,274,919,
375,045,222,291,353,435,096,108,362,258,693,376,580,568,126,345,064,648,385,
889,341,135,853,480,241,857,302,664,826,227,532,516,689,885,483,182,996,296,
994,693,221,184,180,282,940,708,130,209,223,954,423,541,008,636,155,919,219,
765,520,970,095,632,416,685,631,153,884,881,033,666,627,275,745,345,078,748,
095,233,189,554,943,611,002,019,482,160,008,781,279,434,307,751,417,709,454,
782,023,559,086,745,341,311,127,810,019,091,857,481,437,666,072,980,953,729,
230,029,594,672,857,508,782,285,265,124,108,628,344,534,901,505,939,916,469,
321,178,214,854,184,107,157,088,637,410,812,261,031,994,708,401,154,722,921,
506,106,889,886,259,163,793,786,517,443,562,727,333,655,649,981,943,520,965,
994,274,309,998,533,592,546,866,888,026,377,786,835,310,549,430,127,997,250,
220,948,967,023,543,533,842,279,304,351,045,742,065,904,719,763,021,170,073,
218,273,694,939,286,210,437,271,953,630,779,819,100,960,163,540,561,476,621,
056,657,569,860,599,351,745,038,364,308,829,658,667,699,379,079,721,687,151,
495,434,763,242,759,801,005,362,487,402,960,925,248,039,664,713,611,615,349,
213,061,848,305,854,848,480,503,212,327,837,822,251,706,283,767,717,006,132,
607,653,932,037,124,212,137,737,534,065,980,576,029,245,282,487,431,896,090,
797,698,019,394,203,735,601,072,324,824,631,045,129,864,208,369,696,564,549,
962,311,240,859,781,137,859,120,914,817,983,166,992,175,048,258,458,921,349,
206,641,438,614,176,711,123,472,430,226,080,321,284,639,157,594,075,068,658,
551,993,972,454,953,227,329,040,858,713,796,732,165,279,242,068,530,999,869,
680,367,339,856,853,219,641,269,611,338,864,875,080,629,364,290,453,874,896,
104,719,607,114,794,233,636,513,733,589,222,691,043,048,719,547,739,414,569,
853,110,739,738,447,780,791,011,063,947,942,038,087,009,231,739,115,855,092,
462,926,944,140,814,944,634,662,768,127,738,817,352,016,593,026,814,069,602,
342,896,232,932,933,415,775,652,062,989,919,578,730,941,331,894,765,967,198,
047,529,914,317,916,577,398,920,928,373,673,595,549,242,665,343,818,939,811,
073,297,558,042,429,218,395,956,952,695,324,265,911,318,067,675,809,153,086,
630,758,399,012,445,425,098,384,546,480,228,458,412,858,682,156,431,753,786,
424,896,743,725,598,778,927,089,500,276,934,953,826,581,615,173,298,656,707,
406,733,178,426,993,702,770,668,685,916,095,236,674,142,920,044,859,486,097,
884,921,959,473,509,247,494,086,150,677,208,640,426,962,581,010,100,585,408,
294,532,930,102,483,144,245,517,743,135,746,746,622,771,851,796,383,518,743,
755,786,249,461,532,449,689,918,213,833,484,571,472,549,912,306,570,722,112,
343,353,861,955,950,387,686,724,097,340,920,683,483,890,962,488,989,385,650,
903,741,940,105,396,130,073,514,340,306,204,370,519,930,513,622,979,943,300,
519,176,081,412,044,918,277,323,173,311,353,785,694,683,073,039,340,897,020,
408,366,763,139,572,194,185,437,820,856,757,096,498,236,974,372,783,985,613,
225,420,483,592,484,596,834,121,888,582,543,447,728,941,381,726,983,111,758,
921,369,320,109,772,598,370,372,056,996,509,903,075,231,692,553,913,036,271,
196,028,991,634,158,717,215,507,588,318,528,029,395,466,774,199,292,236,588,
951,256,598,204,988,671,027,054,513,029,487,600,453,480,836,864,259,589,408,
128,923,364,375,582,507,278,856,915,579,029,170,613,044,841,629,138,593,730,
345,063,337,111,332,411,217,768,595,829,664,900,295,393,046,597,032,148,947,
003,934,403,500,551,671,526,072,034,471,542,926,523,309,298,226,438,205,150,
523,249,440,554,088,300,113,111,993,182,895,852,816,414,475,910,470,043,078,
742,311,455,264,087,160,044,008,164,520,456,422,794,144,606,274,450,052,391,
780,023,573,186,928,328,826,061,711,889,058,720,994,361,199,378,664,642,922,
770,708,384,214,599,959,145,878,459,008,848,632,353,605,344,945,778,728,118,
461,795,756,216,096,608,530,234,750,718,516,188,899,745,243,893,466,267,577,
082,118,120,728,166,138,545,814,951,579,562,998,419,377,877,976,672,264,907,
550,688,756,877,084,770,438,846,444,509,074,776,835,751,006,622,103,362,744,
181,903,319,087,656,154,771,692,582,140,171,283,608,708,674,769,094,569,812,
606,193,928,144,067,272,048,022,159,893,195,749,370,206,350,360,514,332,474,
390,345,813,056,051,197,271,684,955,767,607,716,738,115,358,083,143,075,568,
115,071,594,089,683,607,315,094,733,170,195,898,869,319,121,614,413,999,305,
879,048,518,453,846,888,915,336,829,265,706,378,736,994,056,265,753,102,595,
134,833,779,103,305,488,002,829,712,574,320,052,364,838,051,633,996,840,510,
872,072,900,900,032,298,741,515,002,481,260,753,755,379,159,525,762,331,597,
928,647,438,833,248,595,971,597,087,963,282,079,663,676,618,450,532,032,861,
864,572,207,989,989,062,524,993,258,574,264,441,478,952,556,003,298,178,059,
001,135,363,044,973,745,802,140,304,276,778,939,894,083,270,685,592,231,328,
206,352,068,358,625,437,260,482,106,747,553,075,403,184,381,932,792,789,482,
733,005,480,129,849,373,792,802,765,281,885,879,596,428,350,514,776,069,288,
249,412,337,559,667,394,231,251,924,819,465,274,317,684,674,924,987,814,261,
514,443,640,635,878,712,702,707,342,135,920,951,877,883,996,873,515,281,230,
479,668,142,382,187,154,810,722,192,178,800,533,333,481,907,294,752,891,972,
637,799,071,452,820,525,496,026,704,497,131,614,700,375,453,547,862,286,202,
186,943,995,986,197,331,636,961,801,820,900,139,905,443,321,718,739,397,616,
612,668,855,219,519,557,722,141,535,776,631,122,180,066,480,869,361,987,816,
562,471,015,354,815,337,690,783,871,780,124,274,474,192,762,388,908,382,357,
659,826,598,430,362,978,783,998,504,868,436,258,144,441,188,295,749,725,714,
401,129,088,892,309,513,777,975,486,499,667,486,088,224,714,047,019,503,086,
146,582,002,347,933,670,073,046,873,856,785,271,888,556,222,887,987,672,926,
728,716,657,000,399,457,739,070,346,934,606,445,473,611,646,184,942,795,236,
840,120,329,258,448,395,871,114,233,857,681,956,334,271,596,297,538,686,094,
883,364,250,445,546,291,272,791,855,892,715,792,017,305,874,116,844,629,605,
879,313,228,949,166,508,426,904,791,889,648,145,453,059,112,884,055,670,494,
604,516,504,429,663,923,926,684,570,540,842,159,510,049,344,590,789,012,726,
344,388,695,847,176,656,088,941,724,007,478,311,021,765,533,986,523,991,697,
576,735,459,588,516,956,336,196,906,316,714,434,128,589,322,281,601,091,673,
557,359,312,536,890,456,492,117,321,128,309,792,121,804,418,416,409,367,365,
246,349,701,191,282,874,117,011,773,669,648,954,056,578,838,710,320,218,607,
221,036,997,436,279,896,532,791,448,417,495,082,727,327,175,921,928,534,250,
226,554,266,195,000,515,147,359,223,583,146,897,676,468,356,383,535,056,515,
747,031,757,811,464,459,681,051,211,117,564,407,938,688,725,715,006,392,164,
266,314,410,927,770,204,957,889,826,220,221,796,328,114,206,120,706,168,145,
709,578,461,778,957,151,334,625,043,918,198,584,676,008,713,647,864,815,752,
117,585,639,744,617,900,201,061,010,495,859,868,788,399,287,749,462,413,874,
695,269,944,638,441,098,116,703,469,724,205,680,376,430,909,088,365,167,428,
171,669,941,435,303,894,357,938,259,916,594,116,461,908,147,156,590,447,520,
572,791,932,861,101,752,442,429,747,714,700,842,960,572,709,138,080,173,969,
614,408,106,748,364,204,686,293,287,882,680,266,870,811,748,100,963,847,055,
398,498,930,571,922,954,702,786,543,461,588,621,563,264,529,369,584,843,396,
887,039,530,321,556,293,954,515,351,326,750,878,332,291,476,526,112,371,566,
536,834,967,636,995,625,858,509,935,707,355,377,568,592,527,371,601,568,279,
242,815,041,369,065,642,753,975,186,185,170,101,537,541,396,095,768,308,669,
505,876,533,015,781,449,365,375,653,432,782,539,281,931,468,773,166,421,566,
642,225,620,316,283,482,040,286,844,553,314,555,121,814,037,583,797,874,906,
925,920,417,799,953,166,801,962,404,791,214,834,481,124,675,675,251,168,243,
904,052,255,946,375,733,328,693,484,755,973,813,404,344,564,994,196,681,289,
024,408,411,723,982,839,447,356,267,404,906,825,525,092,665,415,117,800,607,
994,449,442,827,033,406,833,006,947,187,814,129,276,007,387,701,151,077,638,
637,474,064,868,848,772,660,200,983,082,352,261,362,555,296,802,662,678,088,
289,157,059,804,757,139,651,210,631,066,140,201,876,039,074,685,987,576,529,
946,998,454,749,883,769,912,193,619,868,518,541,186,588,576,894,911,347,931,
095,984,288,120,896,966,756,704,499,219,233,332,800,632,919,143,310,117,695,
784,972,858,701,622,412,715,513,166,556,834,525,352,041,736,692,518,378,530,
742,984,780,794,688,564,274,952,041,107,175,442,180,625,592,474,981,501,008,
546,962,976,190,273,639,931,836,385,472,550,201,163,396,072,964,175,507,902,
444,489,796,696,396,095,628,807,414,237,185,616,190,136,496,684,666,935,441,
107,923,086,844,684,129,162,166,783,590,524,593,947,077,247,635,986,786,881,
958,535,043,319,333,592,522,501,583,008,897,582,912,855,859,452,070,605,423,
558,561,358,427,874,942,256,202,461,294,378,327,272,709,816,399,956,649,569,
209,066,515,804,455,411,740,955,493,413,377,485,688,590,950,723,973,661,135,
175,164,449,139,733,473,681,832,542,266,318,380,542,604,535,154,744,475,844,
246,310,892,841,176,519,515,725,877,139,026,990,728,005,022,797,469,165,301,
504,652,283,459,522,399,899,800,183,728,001,593,977,857,429,739,504,573,717,
993,411,155,306,382,657,027,139,684,614,351,996,506,744,706,928,172,835,667,
798,124,787,710,829,264,560,179,233,814,490,695,108,990,951,761,992,038,317,
670,815,703,369,965,342,281,266,764,007,563,387,567,839,519,835,019,071,632,
906,263,885,992,111,937,773,132,507,462,318,349,268,234,255,141,111,075,068,
942,452,505,235,189,024,613,958,669,599,032,901,043,079,452,355,339,953,217,
512,189,356,151,337,896,011,377,465,863,481,877,736,894,496,723,889,916,641,
241,923,275,717,020,096,208,302,851,925,392,602,975,262,089,533,831,290,637,
183,656,883,405,068,113,115,130,573,624,865,689,244,461,624,117,324,006,718,
698,264,050,469,872,986,441,947,759,736,733,075,371,301,537,052,342,311,878,
570,906,863,696,791,596,054,828,850,730,894,484,016,618,723,143,502,737,399,
207,710,796,866,480,197,173,462,988,594,761,646,068,839,347,636,860,081,660,
017,626,033,107,301,865,470,492,687,952,972,256,424,895,671,552,508,284,941,
588,357,489,493,356,884,574,578,049,578,108,929,983,769,042,119,412,641,667,
905,766,971,955,638,008,557,836,363,751,120,556,909,780,080,926,136,172,743,
543,374,399,201,573,348,120,677,021,921,688,960,258,133,235,521,735,100,187,
327,880,131,404,722,047,712,741,451,222,647,717,355,653,258,591,463,478,178,
496,661,226,760,665,676,692,014,586,629,996,875,081,628,758,847,113,756,200,
240,611,426,308,256,307,529,128,882,800,175,812,531,399,339,348,250,828,054,
218,006,449,820,631,856,300,008,828,752,412,478,287,872,089,016,221,229,641,
188,830,236,209,102,900,116,515,703,264,206,865,747,745,013,064,145,967,772,
848,839,129,996,588,109,242,414,464,378,489,067,762,919,015,032,636,379,577,
388,512,205,329,788,192,363,300,559,231,656,594,103,359,294,252,749,703,392,
188,693,598,247,559,920,895,251,232,182,835,761,989,150,164,582,018,755,846,
358,205,404,373,256,438,591,481,485,422,538,173,215,738,497,113,224,125,762,
604,174,298,889,007,497,806,895,528,935,306,712,121,951,680,858,049,337,671,
360,985,327,670,553,204,464,334,822,794,193,700,434,942,258,441,530,613,645,
510,305,829,716,581,378,247,766,018,694,752,561,198,482,386,250,444,078,048,
525,088,624,638,885,371,394,826,706,693,426,946,542,567,351,882,717,363,066,
982,676,245,432,740,295,307,788,955,363,728,012,789,221,532,537,372,512,749,
706,547,978,300,800,479,675,231,828,187,533,751,144,836,562,605,691,382,983,
867,775,228,880,034,035,011,238,715,581,550,814,520,038,289,945,691,772,026,
946,743,203,173,346,104,578,051,905,562,494,990,376,326,596,464,210,600,339,
136,389,949,609,712,416,596,737,353,794,626,272,419,429,592,164,311,626,535,
956,705,144,431,118,391,000,759,963,970,310,744,391,158,069,162,832,129,545,
239,897,460,519,374,681,815,743,005,556,652,543,292,940,617,737,080,577,054,
933,670,072,833,967,158,560,709,220,674,301,847,040,799,272,734,498,306,426,
983,959,924,519,917,443,690,487,326,044,519,009,531,706,012,303,003,215,320,
613,775,967,589,103,392,415,258,295,938,218,269,110,374,552,397,006,662,582,
682,013,991,041,153,697,888,127,112,526,457,424,412,105,927,721,227,298,981,
885,274,077,293,773,682,970,947,529,713,819,561,563,070,509,462,562,913,648,
799,882,569,723,631,162,969,445,214,604,255,500,316,111,323,248,856,611,378,
024,037,718,236,807,713,418,022,088,175,112,473,084,149,856,713,047,598,231,
203,705,995,167,683,674,165,364,717,677,162,121,192,132,097,192,157,156,126,
716,664,785,075,791,526,839,273,540,415,996,018,676,434,414,493,431,081,370,
901,546,167,703,698,465,391,740,077,770,086,017,396,424,431,079,837,640,956,
634,890,362,353,547,817,162,317,102,175,678,441,486,925,189,155,857,674,387,
914,874,062,681,590,423,160,434,377,643,921,570,758,774,353,041,942,334,716,
094,318,653,588,800,323,413,845,593,189,382,839,804,764,844,424,984,409,272,
528,018,822,877,895,083,382,874,811,579,450,119,385,993,611,831,976,883,078,
985,980,184,362,849,542,811,016,549,703,984,742,879,726,073,663,295,719,753,
709,292,431,920,694,751,203,898,495,372,969,350,955,040,678,757,404,245,531,
503,458,343,270,387,627,366,954,104,050,631,215,405,668,088,353,160,812,965,
003,348,340,937,809,282,604,637,306,461,631,868,293,682,160,714,932,459,915,
512,399,276,201,229,248,745,376,123,734,576,186,710,020,549,368,158,026,856,
605,491,587,725,032,377,462,688,622,406,936,927,198,658,170,138,277,603,563,
732,050,162,722,790,240,600,327,316,056,671,202,708,473,284,675,874,361,680,
042,414,468,772,031,808,639,806,669,066,540,264,328,154,065,560,196,563,654,
151,428,971,971,498,342,862,340,731,540,385,368,107,855,487,737,742,317,833,
274,396,316,931,772,273,641,544,722,922,060,864,288,741,082,686,809,358,719,
727,692,681,508,987,483,218,536,540,405,416,092,536,939,614,926,949,646,797,
599,690,594,430,776,441,350,628,819,128,716,034,405,264,537,190,032,900,273,
375,259,442,731,582,982,052,076,645,483,755,440,515,544,989,766,643,689,923,
250,827,841,265,712,165,247,308,930,858,476,705,806,092,805,229,836,857,622,
630,208,088,588,992,178,356,576,942,299,611,448,163,198,987,592,878,691,858,
920,777,037,320,039,831,771,926,769,669,848,149,678,278,115,422,859,641,692,
563,403,790,321,923,643,093,395,490,341,060,508,742,360,728,359,116,874,094,
990,539,209,940,751,229,647,227,649,425,784,539,285,590,902,082,008,627,878,
483,625,425,849,945,498,155,553,484,295,472,823,226,314,083,698,095,682,874,
960,164,212,861,748,932,980,494,319,931,353,109,269,229,496,442,122,135,587,
638,159,586,751,895,399,712,387,207,370,120,998,666,689,821,851,076,215,218,
052,294,523,985,836,882,899,769,014,883,895,626,707,846,203,606,796,935,132,
980,782,502,208,206,580,242,826,295,475,057,455,477,817,222,185,337,369,191,
777,616,012,071,926,152,110,890,550,563,115,167,547,490,591,717,624,959,117,
116,149,671,127,763,530,239,108,359,848,778,197,917,594,499,815,911,289,422,
437,119,895,929,613,425,916,327,664,348,799,394,609,161,046,694,381,018,425,
451,764,108,014,567,137,646,414,157,163,089,819,051,760,610,389,690,971,226,
496,509,324,940,825,003,186,459,442,506,503,233,923,629,236,205,531,929,316,
981,238,753,095,144,093,433,323,210,956,212,260,575,653,534,178,532,935,332,
744,881,875,159,677,250,937,485,811,384,804,359,998,613,157,522,936,159,983,
694,930,759,746,154,025,787,431,090,186,266,313,734,388,704,079,250,507,806,
950,605,853,184,198,027,228,016,825,107,665,231,118,540,234,675,704,954,026,
319,949,852,238,900,328,089,272,336,543,279,635,508,779,561,262,600,624,222,
904,529,671,280,351,139,577,842,268,247,074,124,998,638,504,084,606,922,519,
651,073,144,351,970,960,571,297,781,483,245,222,289,784,423,550,218,430,554,
507,344,780,923,618,508,597,210,723,020,690,311,514,417,629,233,641,121,715,
076,657,106,137,329,050,556,001,987,066,986,456,928,237,972,726,958,561,041,
287,897,101,192,599,067,237,898,867,840,124,812,827,162,678,508,358,863,110,
636,703,253,452,871,419,952,322,171,290,084,745,335,613,334,986,131,060,088,
182,016,627,453,061,876,957,040,318,476,816,740,885,139,706,283,162,995,397,
532,145,640,763,556,948,930,669,432,095,532,991,565,699,362,560,910,505,779,
438,913,900,636,960,642,476,927,558,586,013,908,864,501,819,322,166,983,626,
389,501,027,413,872,739,892,919,897,531,075,691,590,566,708,985,485,458,177,
961,418,859,602,577,479,996,665,327,038,640,564,839,083,009,806,106,903,836,
873,569,031,232,798,798,887,563,667,039,092,921,028,646,288,825,828,612,603,
896,645,158,719,546,633,018,720,451,610,732,312,892,661,606,839,038,080,821,
188,159,252,190,583,876,152,038,374,633,812,207,541,550,374,705,227,099,299,
978,094,179,386,451,916,408,117,091,987,868,498,164,299,721,296,904,883,830,
840,218,940,571,675,418,600,224,596,750,092,152,663,925,036,930,050,627,660,
765,621,964,586,413,026,048,152,389,490,611,100,873,461,618,852,489,392,841,
701,217,477,626,109,076,147,413,161,645,530,134,619,913,866,984,836,373,328,
356,025,148,893,647,295,735,636,039,376,483,791,635,779,621,072,849,981,413,
905,165,143,635,502,491,340,894,457,260,991,010,524,419,985,906,812,812,062,
539,362,592,998,069,278,889,356,656,295,014,879,067,177,732,427,543,910,046,
408,568,011,279,140,028,801,763,748,129,738,643,574,297,940,218,012,739,637,
591,759,930,710,734,708,658,642,010,715,307,677,932,191,316,979,700,282,951,
749,699,622,528,142,532,184,857,971,834,557,207,523,974,754,395,813,119,035,
796,546,394,293,090,308,410,727,454,352,909,643,148,718,922,854,170,143,534,
085,784,483,970,695,814,854,216,160,155,092,479,947,760,209,158,374,410,292,
827,154,303,837,106,212,455,851,351,795,771,085,935,100,231,419,172,299,852,
145,989,423,947,748,960,837,096,026,582,761,819,114,934,003,316,638,222,326,
932,338,837,760,678,432,782,860,483,903,198,686,131,838,691,277,567,937,324,
922,874,235,201,022,568,677,995,522,441,671,271,891,606,332,300,343,824,782,
001,249,061,348,229,936,322,515,099,444,756,231,611,269,194,438,023,598,829,
857,446,356,344,494,141,873,826,065,507,291,577,096,568,808,477,543,902,168,
623,513,899,059,062,632,147,406,356,032,656,566,867,707,995,909,997,705,857,
591,672,437,430,266,637,042,806,526,712,034,728,153,531,239,248,363,387,687,
207,278,506,866,582,913,749,646,043,527,821,807,565,434,953,273,532,599,005,
905,376,651,012,448,472,381,744,206,139,882,011,043,718,096,619,868,403,120,
404,713,692,273,102,814,663,987,809,690,303,775,791,071,631,265,582,139,821,
313,686,724,840,209,599,852,736,513,630,063,623,190,293,678,856,854,508,558,
531,561,491,778,979,252,331,200,826,362,701,252,940,925,316,220,514,215,236,
662,377,400,861,897,926,812,141,816,552,225,212,211,637,796,441,601,677,327,
577,612,351,430,229,901,341,167,212,746,168,631,435,755,581,263,470,216,218,
998,994,277,006,268,853,314,403,744,734,746,395,597,101,992,004,623,668,193,
484,625,053,573,268,332,936,030,175,313,303,831,663,600,452,172,463,636,091,
937,147,026,860,148,708,768,538,872,033,679,728,149,014,509,432,431,681,929,
065,323,691,663,543,381,967,530,346,983,377,666,597,342,898,310,245,009,424,
708,989,889,063,578,465,956,787,072,564,588,521,853,308,439,312,456,337,458,
362,581,734,447,643,871,551,014,661,708,811,128,285,291,503,405,520,301,869,
191,058,350,711,144,770,739,941,371,438,627,066,710,792,808,403,031,218,090,
557,970,846,158,861,174,737,727,804,084,549,524,930,264,260,154,709,620,671,
402,056,147,653,031,975,778,205,456,365,150,873,267,309,589,320,695,357,265,
886,437,991,306,940,280,215,620,501,138,800,401,443,027,995,740,015,639,299,
163,342,814,590,220,284,729,108,416,725,520,817,079,900,469,383,935,283,872,
705,822,304,881,577,147,895,648,055,977,445,286,410,388,457,210,556,477,760,
944,589,686,676,623,231,421,267,356,779,569,937,526,142,264,397,521,082,304,
069,457,850,934,398,520,433,181,445,046,531,151,684,055,475,266,370,150,522,
108,960,951,435,369,773,848,615,399,039,715,955,343,510,060,701,955,646,219,
242,869,339,978,904,113,897,293,781,391,868,982,753,208,254,717,755,323,056,
407,390,582,343,684,741,406,824,565,795,550,034,609,857,644,070,793,291,595,
465,782,012,123,097,504,344,841,194,967,122,678,594,916,333,809,176,207,926,
812,606,382,044,230,559,154,847,083,459,070,487,958,612,903,992,002,382,232,
944,481,002,982,652,622,291,851,976,186,240,842,956,218,238,390,340,450,695,
911,562,234,906,303,750,754,038,105,577,060,037,098,376,294,564,131,299,414,
972,732,203,634,724,502,559,806,919,875,659,368,711,560,134,031,925,921,514,
434,424,752,927,555,649,187,724,415,958,295,738,286,246,495,446,755,041,310,
285,538,100,672,886,130,222,328,321,843,376,364,153,928,854,081,109,388,445,
160,675,977,391,643,836,196,929,935,006,461,011,970,141,395,548,479,977,037,
393,486,966,014,866,364,777,338,792,507,168,799,879,590,519,070,108,331,823,
119,589,959,067,057,768,040,771,807,355,342,912,915,827,271,150,497,873,036,
071,545,809,595,695,628,204,400,565,912,074,524,094,263,816,598,041,259,146,
888,056,668,538,798,630,595,478,309,340,029,685,378,579,392,417,787,616,819,
412,463,968,987,348,702,420,938,470,034,606,522,907,232,024,598,452,478,242,
000,236,174,514,760,745,450,983,137,128,802,620,532,765,597,530,166,487,850,
120,626,750,493,785,036,716,575,937,304,327,070,067,353,221,321,710,340,280,
932,591,804,402,246,776,587,936,276,286,207,192,237,412,809,644,916,636,852,
232,252,540,674,788,014,711,021,353,589,292,010,009,915,628,026,142,707,913,
772,053,924,948,099,243,877,961,568,486,959,868,616,679,396,194,383,792,652,
123,762,012,438,013,981,213,101,802,158,794,308,311,156,366,763,499,395,465,
067,722,500,220,258,011,471,994,269,098,596,599,063,358,650,872,419,166,245,
683,406,823,519,345,253,316,842,323,361,866,626,910,660,500,321,538,411,757,
938,237,632,506,516,643,429,104,706,679,595,174,831,291,708,915,453,314,931,
724,618,803,907,822,682,276,716,014,447,427,558,072,264,745,304,399,857,121,
786,681,633,558,972,431,568,442,790,087,864,247,004,733,640,708,571,021,550,
973,422,295,485,301,768,491,314,696,067,389,447,030,173,610,764,305,352,412,
246,995,012,251,522,435,583,380,611,108,048,209,835,641,779,808,955,986,920,
840,418,842,417,465,456,757,583,020,434,574,574,445,975,431,757,583,326,805,
932,817,038,499,197,839,439,732,702,565,454,292,140,701,073,491,055,389,106,
351,963,819,190,025,440,366,318,837,089,235,447,740,422,157,285,569,414,342,
722,866,082,082,255,511,420,239,767,567,626,038,130,456,412,893,718,907,471,
436,354,833,073,739,799,778,894,103,676,973,067,403,881,670,604,650,423,152,
852,671,669,909,778,753,539,089,276,012,832,523,105,979,551,568,421,174,434,
511,775,926,083,918,339,886,537,067,455,716,364,879,317,433,320,886,085,692,
362,795,884,953,475,929,681,844,503,991,265,622,019,855,491,642,516,766,957,
491,446,481,369,985,148,513,115,066,568,898,678,762,686,901,569,117,613,023,
264,548,290,706,599,644,762,453,242,709,487,066,109,716,939,041,597,013,559,
179,275,589,007,156,949,582,946,307,452,792,425,631,473,128,513,974,807,348,
579,921,506,321,666,273,953,192,339,598,792,414,390,774,509,536,127,829,824,
344,299,253,905,124,076,689,334,121,688,040,634,984,250,794,716,940,006,209,
813,837,700,502,351,551,412,736,312,807,279,345,050,452,121,336,610,870,229,
313,233,571,382,002,719,757,751,751,845,629,425,758,437,638,153,232,357,046,
611,550,064,060,238,938,954,657,941,987,310,168,340,510,641,137,217,212,509,
393,410,472,500,774,363,559,705,150,039,789,947,927,404,849,059,340,862,335,
568,408,567,376,376,720,964,127,473,865,805,816,922,728,294,695,610,868,421,
290,934,764,929,346,674,064,941,495,884,174,594,705,344,087,100,315,969,946,
880,432,253,315,629,056,669,747,427,258,392,894,802,409,019,963,222,901,333,
015,773,729,928,307,212,549,524,468,155,606,334,424,229,000,978,928,971,987,
813,844,507,834,597,984,247,027,109,778,533,522,830,161,676,798,699,644,158,
124,656,880,141,892,628,745,315,190,559,675,630,857,309,107,701,741,161,555,
590,456,947,004,915,091,183,703,313,248,604,913,504,073,972,365,993,788,620,
608,339,473,529,599,172,548,999,688,576,646,334,823,296,657,893,031,462,654,
621,735,532,180,230,264,619,983,477,593,187,156,893,039,539,930,666,310,075,
413,672,092,667,712,556,340,338,687,099,615,477,157,500,988,880,853,872,735,
608,922,120,616,664,842,477,581,842,866,422,485,927,858,924,544,075,023,392,
862,851,025,120,332,988,984,049,906,331,462,532,715,004,485,254,229,170,908,
184,561,356,877,904,482,579,093,928,895,262,203,479,443,028,411,230,633,867,
078,750,863,639,018,513,372,957,825,745,823,329,029,098,409,145,936,053,195,
766,154,462,382,798,378,004,220,137,952,805,196,753,653,172,549,083,262,294,
789,515,147,972,573,540,315,438,948,600,899,917,579,831,796,208,136,126,089,
196,447,898,172,990,462,853,611,023,715,836,718,534,131,120,835,570,529,728,
140,501,450,364,988,853,413,956,309,795,253,037,615,375,184,517,250,346,588,
589,878,626,163,701,914,660,661,238,992,001,011,756,271,207,377,243,470,815,
153,060,808,622,352,054,233,073,045,080,458,973,286,103,070,226,390,662,458,
404,514,168,499,046,537,459,023,054,753,145,279,359,490,777,936,363,221,136,
120,869,392,319,455,330,875,297,346,907,533,611,699,302,140,239,525,658,434,
053,942,118,532,041,135,475,981,162,612,542,717,426,585,600,441,776,481,772,
848,291,798,763,407,077,017,182,766,806,707,759,597,386,058,836,819,992,774,
200,944,534,099,285,920,562,822,864,007,359,231,922,081,359,293,450,321,751,
997,719,776,155,224,959,292,260,978,080,837,241,781,467,933,193,420,904,601,
457,904,028,275,976,011,989,849,810,563,287,236,830,115,207,941,520,774,758,
450,707,139,345,858,690,936,832,834,946,454,949,506,470,943,384,660,098,118,
528,144,366,480,940,225,329,673,740,049,070,035,943,814,537,507,091,791,579,
321,643,878,744,586,832,712,660,739,645,608,615,477,525,951,657,085,352,579,
700,128,899,481,481,637,005,024,351,000,117,204,972,590,489,968,414,125,590,
402,712,898,211,918,298,866,483,622,459,019,708,497,848,313,715,138,941,372,
965,024,447,876,183,147,168,484,418,490,345,316,921,314,052,796,536,083,211,
843,471,083,672,237,207,114,755,735,459,854,043,812,262,413,674,638,373,130,
062,151,022,734,422,907,347,821,405,704,798,326,656,745,775,793,628,883,678,
423,938,263,483,911,667,309,864,468,151,626,170,048,775,901,638,128,950,575,
700,852,504,961,511,514,747,308,987,274,755,470,832,788,946,367,318,798,620,
495,980,909,913,600,083,520,819,299,365,710,714,460,492,848,372,340,548,803,
148,142,894,640,669,139,726,984,152,788,278,361,592,849,293,119,133,642,372,
091,299,347,939,981,815,538,112,005,482,487,039,729,822,104,903,984,500,046,
368,339,477,384,397,836,795,205,288,173,456,130,709,972,970,343,441,693,226,
118,969,821,769,336,551,074,158,121,915,740,779,396,694,207,446,770,935,130,
514,801,720,578,567,888,485,019,869,567,310,071,671,763,836,210,295,985,218,
129,379,240,520,455,925,159,997,657,517,631,115,451,289,934,401,200,381,119,
040,158,409,426,440,935,599,713,312,924,055,701,797,136,662,972,006,385,930,
157,441,133,026,130,700,562,185,296,014,894,639,547,667,353,541,198,044,727,
111,452,545,934,711,248,007,274,349,076,434,180,673,178,550,543,959,366,602,
328,659,821,871,699,947,481,300,047,662,966,678,941,216,008,415,316,248,962,
325,132,317,838,617,410,313,462,246,653,686,180,373,254,838,845,413,099,080,
054,065,561,930,286,350,111,960,642,859,114,264,805,905,775,527,726,598,348,
896,505,447,794,123,980,993,662,990,797,445,928,839,606,224,827,841,443,100,
572,896,679,276,040,129,088,130,118,552,152,143,817,636,244,501,518,460,018,
029,348,928,120,374,159,163,717,464,153,509,160,683,417,495,363,327,594,961,
331,439,173,312,237,893,676,653,639,956,369,536,451,395,786,670,439,693,085,
609,365,846,106,081,982,212,196,468,056,759,984,153,732,486,257,164,226,458,
266,726,165,406,880,408,777,448,328,477,816,961,471,484,111,139,282,859,090,
771,714,255,853,432,287,512,878,035,145,356,304,272,927,216,963,386,985,106,
303,224,521,890,691,099,963,434,293,372,000,311,682,397,971,127,896,712,563,
548,318,711,061,596,303,390,985,045,099,256,219,343,848,727,876,817,836,929,
761,298,216,077,531,880,217,689,023,849,136,047,101,063,449,349,030,378,180,
334,101,901,380,705,372,789,468,709,325,715,049,284,585,686,100,216,340,678,
422,476,270,430,671,404,499,008,770,198,486,475,849,977,385,246,400,091,219,
080,880,137,567,285,896,924,754,373,613,843,945,926,954,072,096,074,746,021,
969,793,664,175,851,034,264,930,755,662,749,869,342,051,153,670,164,508,050,
341,036,417,123,344,264,723,017,920,067,006,963,328,825,568,655,080,420,018,
966,861,210,564,178,541,798,612,471,770,193,218,561,711,660,060,335,602,059,
558,098,629,911,683,928,686,844,885,771,487,549,130,219,655,943,840,198,146,
349,496,180,457,406,276,914,329,891,452,226,236,730,604,093,066,205,912,588,
872,660,903,438,216,482,792,507,716,383,963,053,622,877,395,506,298,063,976,
662,061,111,118,198,879,133,893,860,705,263,259,450,138,457,250,659,270,495,
544,792,192,874,634,961,675,097,363,679,060,521,183,761,687,859,336,899,410,
213,424,508,422,792,593,727,852,712,588,403,418,948,399,544,618,511,857,617,
249,767,969,172,483,524,680,464,292,657,356,327,978,841,761,730,292,951,562,
288,114,515,066,606,305,276,658,343,760,773,054,927,976,438,893,143,088,846,
417,651,794,708,024,351,615,832,392,904,364,697,108,843,158,494,379,431,023,
485,404,348,235,098,189,096,122,803,235,771,987,472,139,376,841,607,775,670,
874,127,843,328,337,652,408,167,598,915,007,890,819,133,854,601,014,111,005,
533,932,615,171,914,659,610,640,283,999,092,435,545,940,973,475,839,925,598,
077,602,101,342,741,481,222,943,445,021,957,951,711,971,155,232,756,335,753,
750,253,442,988,139,666,479,196,858,766,166,550,283,145,943,928,637,151,639,
896,036,960,783,484,506,039,835,472,217,053,769,344,939,799,416,654,803,274,
143,147,162,716,041,383,570,134,462,988,374,541,588,573,037,441,383,421,479,
417,484,247,907,547,604,461,371,234,790,045,735,239,140,315,442,872,914,764,
826,247,895,221,384,071,640,607,519,182,964,950,728,374,437,243,311,257,653,
595,168,168,177,740,801,693,060,665,568,934,086,421,701,174,187,443,234,828,
307,410,460,424,682,265,349,556,399,842,535,592,867,689,371,320,285,034,721,
759,022,933,921,082,280,912,070,918,301,313,972,967,481,437,811,683,503,237,
056,506,442,686,484,488,343,217,951,689,478,053,499,336,631,195,524,556,643,
667,184,931,941,733,092,350,848,965,509,247,189,608,136,725,735,194,234,302,
733,294,383,319,710,673,852,718,504,986,289,764,898,913,103,038,887,909,456,
344,136,562,101,274,229,601,014,476,830,549,793,428,062,577,897,469,187,654,
708,616,079,501,263,892,632,509,732,748,422,529,863,658,489,084,499,253,007,
710,502,721,466,977,242,357,181,256,816,555,975,471,506,727,297,602,384,022,
811,164,637,724,995,890,624,574,600,034,598,191,777,230,411,624,563,835,644,
662,823,358,002,310,130,699,679,217,639,549,931,801,421,003,236,995,457,305,
890,642,777,280,777,082,527,547,315,317,335,332,944,409,059,969,314,974,918,
686,941,563,080,742,783,050,068,374,229,883,562,282,898,052,074,642,630,765,
540,616,316,036,956,503,353,130,210,124,075,003,444,124,311,509,598,164,232,
079,273,256,513,747,943,447,452,197,127,795,334,920,568,182,813,843,553,133,
822,459,082,385,931,521,678,097,422,882,882,353,235,198,673,466,420,535,705,
483,778,834,772,639,747,271,070,074,981,151,973,738,952,612,325,942,336,190,
209,277,226,572,211,468,266,035,952,934,455,865,033,008,029,694,736,556,555,
894,566,730,978,976,362,635,817,860,398,940,960,022,768,023,221,676,676,482,
930,260,299,133,774,879,101,463,243,749,265,935,174,758,750,819,515,151,579,
504,133,103,678,265,227,942,493,718,469,618,792,415,346,627,963,129,288,071,
584,180,260,420,597,172,127,853,477,518,413,496,440,664,448,942,143,683,256,
138,323,727,306,177,475,829,528,024,312,843,423,037,908,832,738,287,258,486,
224,554,230,526,213,823,856,704,693,316,134,926,046,913,708,799,478,399,485,
588,963,249,187,133,064,977,481,114,264,517,357,964,254,737,662,626,269,726,
404,976,567,103,204,741,369,297,405,431,562,931,745,177,482,318,726,409,147,
352,569,153,471,476,739,079,669,615,459,303,653,436,928,411,917,509,743,960,
629,610,758,075,293,746,044,894,641,954,524,507,364,394,664,022,617,066,026,
737,803,450,134,204,315,006,766,780,682,113,277,021,293,804,645,832,646,033,
863,504,221,578,839,233,474,764,028,418,274,334,472,764,941,590,415,570,081,
068,367,083,732,605,433,548,582,829,669,483,147,588,832,722,468,208,750,870,
999,491,034,099,936,573,572,382,261,578,035,081,618,830,305,002,650,550,344,
572,694,524,396,621,379,638,968,514,939,490,082,092,729,237,051,683,918,888,
259,086,416,074,493,229,549,493,891,406,061,613,392,422,516,647,541,544,845,
902,141,947,014,275,903,817,568,838,091,923,143,855,030,388,635,036,133,292,
556,962,276,850,868,161,369,958,254,824,291,024,812,755,429,083,408,382,596,
450,655,093,042,718,943,311,427,647,776,000,190,420,091,693,879,697,761,613,
653,185,655,016,257,579,175,225,806,474,572,684,107,485,024,031,850,834,445,
140,251,123,909,223,345,345,343,892,087,403,159,777,532,519,148,085,622,747,
018,510,659,438,623,551,631,218,714,265,754,236,925,104,607,183,115,442,822,
736,418,521,298,494,003,172,257,356,080,861,787,692,348,041,076,446,094,312,
371,476,820,776,706,008,162,969,844,100,174,342,787,448,951,570,376,515,571,
246,695,086,655,722,246,721,534,869,017,185,509,046,279,584,632,553,384,330,
022,118,690,115,740,882,917,465,259,843,734,488,872,813,838,651,383,849,812,
100,208,045,998,284,899,542,108,409,449,286,017,072,273,347,478,586,576,418,
350,938,482,318,109,528,611,003,348,007,681,238,124,332,448,907,801,903,385,
047,546,342,892,096,288,602,458,126,079,488,118,566,042,319,309,450,043,466,
611,791,206,276,112,877,584,527,744,830,475,707,040,110,676,943,765,916,149,
920,415,849,038,722,015,085,723,430,827,651,350,228,305,117,441,377,416,420,
083,725,691,367,469,366,467,466,986,927,376,048,584,001,600,092,398,034,686,
250,326,981,349,811,202,229,290,915,456,326,076,284,103,980,732,046,835,296,
910,610,774,202,095,255,526,472,352,646,747,411,873,940,275,040,794,264,823,
714,961,566,795,882,071,260,876,326,625,368,737,226,442,551,028,800,766,269,
761,881,650,634,582,302,326,779,118,443,180,475,653,678,610,469,765,271,400,
886,046,914,083,308,927,235,796,777,445,003,185,415,450,868,291,065,590,979,
020,258,260,884,578,552,723,061,498,761,330,478,701,756,520,454,502,148,822,
562,122,037,548,575,243,360,546,684,713,550,167,464,336,296,000,420,116,537,
508,259,272,728,605,974,955,107,715,484,594,531,686,237,155,851,202,906,334,
390,875,832,855,019,288,144,390,203,063,755,349,799,650,331,128,181,964,727,
446,168,449,498,924,578,666,396,571,314,619,799,730,079,079,183,456,493,687,
602,118,898,413,790,013,809,238,945,721,628,641,810,698,128,714,669,509,386,
287,193,259,532,132,535,959,517,843,868,793,405,874,951,359,756,816,910,362,
069,053,369,847,271,582,063,286,377,717,458,892,825,173,440,312,440,924,219,
321,784,265,451,734,546,781,728,383,050,508,373,232,179,202,481,849,536,380,
960,756,528,979,994,145,017,849,125,068,039,133,046,876,927,997,195,233,138,
062,701,461,108,918,930,532,903,285,276,127,716,345,942,644,517,845,501,727,
430,445,918,755,402,058,756,157,357,810,437,112,246,820,961,532,777,952,975,
700,167,203,540,678,727,567,431,097,978,715,197,341,561,041,816,616,835,967,
655,502,640,164,339,132,291,662,584,989,948,972,206,399,617,618,201,124,752,
097,280,308,123,721,044,156,785,590,445,822,552,383,092,404,284,864,467,904,
027,573,338,728,807,493,515,897,134,089,114,761,367,633,985,408,338,094,646,
901,582,938,554,368,350,782,335,263,094,301,888,381,894,404,047,444,077,519,
399,028,195,147,068,483,981,689,953,969,084,956,918,270,210,596,717,755,205,
321,578,458,538,413,379,628,545,234,178,286,847,273,178,406,112,496,165,379,
592,373,503,252,602,312,664,404,996,455,024,290,613,975,819,611,070,371,422,
762,741,337,924,646,486,748,422,875,634,011,912,253,294,304,045,792,142,014,
727,559,446,323,853,013,922,848,410,419,055,937,845,563,101,554,825,370,309,
033,127,241,798,865,552,163,985,597,726,692,794,287,127,915,310,961,898,670,
201,330,019,926,322,668,281,455,940,318,255,281,923,268,464,222,084,808,924,
329,028,160,896,125,119,202,576,651,002,282,804,951,275,411,958,590,349,600,
749,519,806,257,163,154,698,468,016,516,597,403,913,296,540,803,886,363,909,
341,391,327,855,802,504,340,890,488,448,753,801,268,476,539,312,644,620,812,
705,130,858,543,126,653,838,680,240,622,181,447,284,375,611,078,402,214,304,
903,814,344,573,374,020,104,983,700,533,251,757,949,228,570,530,292,294,264,
685,717,070,797,910,732,298,063,543,350,282,585,695,084,545,698,199,800,499,
235,974,035,089,641,134,912,106,054,901,586,857,344,295,479,140,975,094,608,
037,057,741,498,560,397,599,448,121,053,989,442,763,290,954,117,558,949,627,
327,283,153,078,327,399,313,692,890,481,794,960,310,423,538,113,910,176,923,
523,024,938,781,006,138,010,346,995,693,510,079,008,400,989,863,550,863,371,
886,595,144,172,588,192,390,470,498,841,296,508,560,490,118,612,252,429,239,
554,725,627,470,580,020,825,682,569,841,767,437,321,451,500,560,744,421,400,
519,428,272,040,576,018,946,326,987,647,374,203,027,508,958,401,422,065,563,
150,271,982,919,682,506,138,476,952,916,989,026,447,275,871,163,872,198,504,
193,466,937,939,327,637,740,883,597,132,592,342,930,689,108,417,233,451,026,
069,245,138,835,773,857,997,905,000,149,025,480,653,258,771,104,711,779,514,
261,726,117,932,615,384,303,034,765,170,112,225,092,644,966,708,739,763,024,
983,652,713,845,815,294,275,630,625,565,572,107,967,120,481,231,604,855,824,
257,729,627,551,078,091,726,031,608,278,037,174,452,677,115,837,015,812,107,
256,725,771,230,543,890,428,399,652,169,976,181,678,036,390,713,269,441,307,
580,180,178,006,917,467,169,919,650,178,218,724,882,073,273,092,300,736,545,
931,806,865,052,396,264,539,125,276,886,143,487,172,623,644,413,178,991,618,
871,891,304,584,535,698,332,114,613,633,753,811,790,007,289,716,608,234,040,
861,428,465,321,156,840,103,593,856,027,459,072,004,730,085,316,319,641,688,
635,986,081,070,369,711,724,164,231,559,917,626,577,754,489,143,161,653,811,
423,437,208,491,893,932,407,211,245,156,228,363,489,712,942,923,453,736,466,
629,499,210,169,221,309,373,651,892,030,321,054,585,266,892,431,763,642,962,
962,058,720,276,258,412,016,440,841,073,686,339,016,362,676,029,103,732,480,
887,257,918,188,587,400,802,913,318,940,117,427,404,990,496,540,204,781,429,
690,819,734,370,181,393,518,103,931,596,511,665,307,263,522,465,031,680,184,
501,629,361,838,984,622,127,480,125,769,638,476,567,625,078,263,738,474,872,
084,755,413,018,744,020,995,397,803,230,489,100,303,057,945,002,187,087,569,
858,522,601,823,805,930,047,226,322,295,488,235,720,993,987,381,312,914,931,
759,552,363,385,988,326,909,514,059,218,334,470,185,719,568,308,032,065,873,
079,357,064,444,126,991,276,691,856,948,164,685,994,136,832,524,013,467,026,
062,567,155,923,274,024,860,080,136,271,540,750,196,812,209,618,414,922,164,
656,216,106,308,900,862,846,326,632,246,546,214,452,022,378,353,363,921,173,
495,592,201,208,761,085,959,999,606,554,986,477,335,340,019,589,053,656,032,
941,145,799,321,483,361,181,417,265,069,054,953,015,043,751,133,918,290,822,
320,652,193,584,974,568,459,600,119,423,101,185,657,414,903,225,830,960,751,
502,955,166,402,538,165,648,438,098,966,625,480,083,947,142,775,631,432,412,
207,109,469,288,932,347,580,590,567,003,563,804,066,150,097,957,980,734,835,
576,983,028,713,563,292,445,333,302,100,840,541,623,660,771,588,713,601,356,
517,554,291,739,251,278,835,289,065,820,882,787,485,742,804,444,528,571,159,
988,281,966,636,576,103,290,037,770,924,981,364,627,285,322,358,282,426,868,
592,364,449,593,857,569,514,786,677,009,991,008,196,995,273,361,986,291,338,
565,485,942,320,915,169,309,776,452,430,455,153,317,222,247,834,198,172,195,
972,156,197,258,837,538,847,735,444,214,025,527,990,878,941,388,582,870,506,
430,098,943,120,294,986,015,353,014,104,306,362,430,540,428,186,062,371,975,
238,983,133,761,112,513,513,775,580,398,264,320,058,833,255,688,185,678,031,
889,059,020,819,633,958,416,887,263,112,704,146,225,466,562,923,741,926,637,
042,007,673,498,524,172,862,861,693,724,934,434,542,813,350,052,111,748,926,
305,601,009,622,193,564,598,156,835,973,345,428,161,648,989,844,189,162,967,
997,649,662,553,833,346,150,519,387,615,890,429,671,201,725,900,606,147,322,
244,880,083,523,557,469,440,280,650,321,947,342,704,010,811,621,792,202,337,
494,316,733,659,306,894,476,330,421,934,192,921,532,355,066,601,891,633,637,
433,895,240,267,259,816,051,233,202,253,180,539,789,725,650,407,264,852,481,
335,692,375,283,242,585,882,702,933,688,554,356,943,111,134,967,781,425,885,
224,093,327,048,430,462,844,569,241,333,983,209,787,399,052,738,390,234,415,
613,959,234,008,580,998,936,545,055,185,161,276,169,760,845,183,956,333,322,
878,960,195,472,634,369,728,915,698,439,825,659,067,692,260,147,119,762,222,
027,022,268,727,381,231,891,243,543,649,567,001,377,233,344,446,751,293,769,
594,976,918,741,879,283,375,617,529,647,462,544,016,126,226,245,890,604,732,
165,833,108,918,175,236,691,369,008,753,272,547,644,370,597,986,846,353,797,
393,923,066,876,994,230,597,972,035,556,868,567,002,612,945,434,729,635,336,
071,452,466,807,146,725,915,733,015,411,118,494,851,049,354,630,570,405,543,
623,268,296,567,856,598,287,380,764,436,875,944,643,512,964,487,348,223,537,
485,982,163,407,229,019,477,144,232,595,750,036,708,623,104,791,109,480,053,
873,089,715,028,263,707,065,910,052,101,929,638,770,486,379,112,723,858,672,
711,484,395,497,381,935,350,116,654,556,685,626,615,845,744,127,477,355,396,
795,096,197,684,738,050,757,947,141,910,086,320,221,287,995,870,000,833,428,
658,695,125,753,337,161,804,169,356,455,300,871,875,074,887,906,529,132,138,
509,420,972,430,633,351,919,832,156,049,866,008,488,383,884,632,515,158,291,
165,307,711,576,887,462,495,023,440,189,169,299,500,728,933,049,852,562,946,
551,462,201,064,670,120,567,579,142,048,976,890,207,867,274,001,609,254,723,
569,219,445,469,551,461,132,365,306,305,751,726,182,128,834,229,558,106,190,
674,777,547,780,955,917,523,329,459,990,086,822,665,495,042,793,645,724,665,
383,666,710,821,519,486,049,596,592,277,968,276,352,622,521,026,181,809,819,
742,624,922,667,780,697,854,505,921,971,363,706,881,840,706,159,797,403,316,
092,568,144,976,175,653,954,092,388,180,090,847,231,218,273,840,019,214,018,
497,109,479,103,391,519,492,494,989,509,041,728,452,401,539,960,137,374,775,
180,252,417,749,769,352,565,582,650,253,756,270,933,875,099,465,439,126,169,
952,671,803,756,942,731,685,643,565,518,427,873,317,411,639,048,744,156,568,
740,847,024,454,914,210,682,049,695,676,628,945,202,814,083,803,067,107,034,
650,163,897,596,698,940,577,303,326,252,437,420,430,935,279,235,335,764,454,
052,833,561,668,589,262,114,118,571,385,544,344,251,684,076,655,327,458,945,
253,398,623,875,917,470,015,316,349,063,059,913,549,792,893,237,640,043,837,
680,498,192,086,709,232,741,846,465,774,853,273,265,252,378,322,670,194,471,
588,626,141,429,298,386,979,047,733,550,455,183,012,677,749,889,482,412,437,
739,656,710,811,657,778,925,270,020,061,554,834,638,588,838,699,769,741,241,
263,745,825,860,942,435,427,252,990,801,111,576,801,375,827,649,854,972,553,
852,652,383,033,966,941,718,779,603,580,320,316,703,320,288,580,843,687,357,
292,900,076,608,242,645,485,176,074,572,015,320,992,791,968,326,031,221,167,
167,956,497,759,291,549,978,444,985,669,379,218,555,540,234,119,471,405,087,
941,574,912,008,936,375,727,113,898,298,802,159,152,561,134,927,929,597,833,
115,021,300,808,565,851,827,124,197,407,872,296,791,311,950,541,832,890,993,
064,355,954,978,161,539,525,122,473,301,109,833,717,047,072,796,254,942,401,
771,365,446,332,333,696,223,763,822,473,318,864,861,570,074,364,618,611,428,
136,327,957,553,422,311,530,948,210,662,433,713,080,589,767,320,122,522,683,
854,522,424,322,132,733,907,851,524,291,221,125,205,855,147,693,551,788,663,
957,962,808,409,848,484,542,617,478,010,959,609,972,842,649,488,302,395,453,
209,593,279,330,860,552,772,118,868,893,285,893,148,663,416,599,656,623,235,
808,889,094,924,571,810,083,222,707,814,311,238,427,116,404,841,690,702,202,
311,621,414,658,926,133,483,075,849,522,827,495,062,654,271,830,626,610,529,
003,261,893,896,164,952,370,960,097,912,516,299,651,645,424,267,781,799,205,
314,229,586,164,121,430,655,884,926,288,811,881,846,730,704,951,552,037,562,
990,508,552,652,950,925,811,095,297,162,348,341,908,450,223,581,556,698,568,
672,416,604,807,785,435,104,044,421,067,196,658,867,994,427,455,843,635,923,
602,330,057,529,176,742,183,195,125,822,794,847,707,193,931,190,701,968,420,
938,240,908,026,183,323,201,147,495,853,366,525,329,829,426,247,281,768,250,
567,391,972,924,477,666,939,433,758,283,469,365,889,965,475,857,249,010,612,
698,704,560,565,289,491,735,779,141,822,247,595,220,052,500,169,710,307,477,
895,730,369,989,867,935,520,608,934,039,332,848,936,984,490,306,075,497,512,
654,911,621,492,117,157,727,687,880,230,051,610,752,084,471,853,743,913,883,
219,156,489,185,389,387,764,957,146,935,963,388,075,499,268,938,976,681,525,
225,444,147,757,835,974,023,761,146,879,088,493,763,654,685,667,898,286,291,
767,102,509,751,233,046,969,595,753,553,182,374,491,382,096,498,319,314,328,
071,765,417,687,355,477,510,504,892,727,404,075,924,655,242,826,135,660,169,
648,916,318,266,562,393,946,241,523,162,259,522,136,588,731,530,097,671,922,
532,702,823,129,476,686,859,597,648,395,912,900,853,131,720,923,695,425,746,
797,904,110,300,585,757,457,367,455,983,427,667,723,562,329,343,117,934,280,
321,998,556,597,708,584,132,378,672,643,214,610,822,423,886,642,051,231,334,
402,988,819,581,979,343,899,656,906,735,067,544,365,099,300,781,416,155,613,
664,998,232,383,128,182,580,943,324,837,899,310,065,030,204,903,505,560,243,
509,246,783,751,513,592,151,504,169,439,464,060,635,086,488,780,696,688,927,
059,240,313,305,678,115,627,514,007,617,268,371,777,848,353,653,959,577,415,
168,250,908,765,871,432,659,739,227,573,396,887,071,605,140,693,924,157,524,
902,642,221,825,803,618,164,165,473,883,980,326,682,518,019,834,593,995,766,
643,992,847,274,699,679,954,312,036,850,396,804,844,720,393,927,951,581,256,
262,624,628,581,160,549,182,316,611,498,491,124,409,618,797,458,200,442,567,
520,534,040,877,402,959,354,950,339,968,700,691,695,073,038,175,762,684,552,
451,970,305,807,582,633,819,247,488,280,493,799,247,280,773,963,791,870,164,
935,517,868,354,804,604,022,374,942,907,917,372,786,083,654,123,209,857,595,
960,747,643,168,798,505,571,033,448,762,246,209,630,923,327,687,220,471,220,
448,808,947,739,797,753,356,045,168,933,114,735,544,760,998,798,360,135,674,
696,765,477,544,933,512,003,614,397,824,312,697,982,020,779,432,323,971,569,
550,226,112,635,660,327,786,232,029,625,216,038,385,623,246,860,672,933,561,
396,287,696,936,960,369,926,417,641,023,257,760,533,114,728,627,584,079,954,
992,095,845,250,277,568,011,480,485,376,755,845,595,242,578,506,423,671,180,
023,382,277,095,937,096,387,165,117,220,350,538,185,270,422,775,720,171,228,
105,324,482,528,308,107,801,650,142,995,761,595,098,364,986,644,891,094,538,
297,128,757,620,125,386,104,027,333,909,639,370,116,005,068,064,679,433,346,
204,020,465,003,328,690,376,438,355,863,073,793,727,106,385,138,743,969,057,
548,651,007,507,278,416,518,510,306,095,315,072,973,102,050,300,652,089,549,
580,021,977,594,588,525,284,822,493,866,061,514,473,348,217,527,237,172,734,
937,480,415,529,956,166,524,875,203,801,202,400,437,800,710,953,368,648,819,
185,071,140,279,837,695,912,223,627,397,339,594,794,707,535,032,683,919,218,
281,843,250,165,374,810,271,172,178,554,664,530,572,644,379,909,081,233,074,
428,722,904,555,031,382,875,563,914,481,349,746,463,409,345,256,548,146,831,
321,629,119,879,856,030,548,316,638,617,442,300,604,090,418,233,394,858,219,
002,454,141,137,475,196,899,796,620,969,618,383,667,133,601,750,460,735,168,
707,978,683,776,051,306,438,508,765,106,143,931,197,991,692,620,015,189,216,
037,798,721,376,647,131,566,372,133,657,046,327,986,986,909,078,539,264,004,
421,890,621,341,244,925,676,663,529,046,633,610,373,966,037,739,331,299,466,
191,329,678,973,852,288,259,593,833,163,141,250,028,033,381,587,111,898,460,
560,416,380,848,642,098,276,139,079,775,950,664,741,661,614,202,434,605,153,
098,291,892,030,702,690,904,344,995,243,757,703,052,321,900,928,762,881,696,
204,234,582,853,299,028,636,461,951,624,521,321,020,581,651,354,791,546,278,
167,754,556,924,705,389,187,644,139,418,181,898,111,670,891,102,651,188,169,
635,307,967,529,882,124,915,063,017,827,926,912,937,783,989,301,293,636,094,
692,157,898,390,975,405,317,581,278,560,938,151,733,117,859,080,964,598,427,
912,786,062,474,592,234,809,636,016,593,786,139,387,610,638,326,914,941,313,
063,679,415,668,557,844,817,407,465,527,834,911,715,124,554,392,881,851,340,
041,817,874,275,236,410,094,852,968,921,491,578,845,542,701,149,120,488,248,
829,690,546,890,789,981,174,898,165,981,160,399,847,852,844,742,858,460,262,
571,801,749,400,848,426,216,335,163,660,474,833,687,970,932,826,169,325,142,
395,281,992,921,518,094,871,466,807,734,756,726,585,034,269,757,658,503,161,
022,478,871,903,030,786,505,955,704,521,272,062,540,403,478,717,532,095,744,
474,963,639,862,348,103,458,240,347,970,780,219,202,720,030,029,695,199,430,
617,076,516,527,984,088,877,677,068,084,287,992,013,164,504,331,683,615,827,
419,430,656,711,258,367,794,265,006,757,680,664,329,558,323,074,748,881,294,
236,089,701,403,866,575,526,926,748,740,849,308,188,196,426,394,735,077,572,
570,024,585,946,810,057,931,352,149,444,044,198,068,154,828,440,964,286,437,
547,096,850,525,378,761,484,298,587,321,389,488,476,851,472,799,435,548,942,
997,287,950,712,439,065,746,973,763,711,853,058,949,047,373,216,969,537,072,
905,207,547,317,792,496,485,658,047,985,539,343,331,387,212,481,438,934,597,
658,285,614,792,319,903,818,144,608,676,769,989,129,347,782,813,542,709,213,
165,381,584,627,240,789,384,939,039,112,103,719,368,105,989,869,987,813,900,
494,488,609,225,186,564,501,640,317,888,169,020,726,493,747,329,830,833,268,
896,594,492,149,858,460,534,760,909,468,607,139,591,239,095,621,483,469,104,
348,625,673,901,327,599,125,507,568,267,748,339,928,248,888,256,372,993,468,
761,142,870,692,285,758,586,689,480,520,521,624,868,373,778,895,406,495,554,
505,516,407,217,856,360,464,320,753,078,986,381,599,712,168,777,728,592,435,
013,841,980,881,355,910,116,533,622,648,063,402,967,423,576,432,700,850,703,
431,505,340,062,114,613,558,166,170,961,176,973,527,822,364,530,222,149,386,
444,017,795,719,265,476,157,949,267,415,546,188,807,510,807,393,104,666,909,
135,505,474,650,590,603,827,981,427,320,157,026,581,647,653,179,034,062,337,
818,113,085,760,608,639,409,920,649,293,173,027,535,499,739,959,929,035,359,
982,204,182,383,103,204,863,256,119,342,463,622,227,711,358,474,073,897,502,
706,909,163,210,350,796,668,989,227,758,425,420,781,815,511,854,127,620,807,
380,498,742,268,515,126,923,727,526,890,458,497,931,738,830,860,360,972,183,
871,554,434,989,457,450,640,460,287,511,054,687,058,290,155,535,224,300,705,
446,115,885,889,212,982,814,119,952,654,281,025,828,499,930,423,232,246,624,
726,573,647,864,860,706,079,182,574,105,064,589,844,092,953,185,011,034,049,
810,357,181,469,272,038,900,489,130,857,067,227,399,541,490,499,271,339,571,
147,419,648,390,248,485,652,269,609,743,372,545,354,235,885,241,614,281,111,
393,804,699,837,931,785,606,079,733,646,723,472,269,152,620,102,983,642,412,
170,168,839,245,436,982,254,895,160,231,667,375,742,911,916,157,350,242,363,
445,710,009,326,171,554,688,678,175,517,326,461,133,278,357,966,386,451,930,
824,440,587,279,694,138,552,766,213,725,972,161,544,092,406,525,865,609,527,
503,453,441,010,427,553,639,750,133,639,057,101,459,964,514,038,266,027,987,
831,454,492,345,612,802,784,353,404,217,600,455,945,037,473,126,410,862,360,
547,135,244,274,911,886,303,455,456,396,532,282,839,691,773,864,467,815,409,
204,767,102,255,844,318,224,454,833,259,343,015,516,271,792,293,505,504,790,
847,706,397,515,601,392,518,570,097,513,122,595,616,233,535,961,950,506,571,
431,528,650,188,447,595,396,997,159,281,831,183,952,096,409,088,858,898,860,
005,724,342,287,307,633,151,970,762,085,825,195,235,220,464,602,049,106,865,
087,413,317,588,198,748,524,867,944,450,703,794,768,329,707,332,342,716,309,
203,607,702,687,796,423,919,353,887,169,334,993,069,044,740,648,662,644,087,
779,439,496,668,493,258,550,400,521,868,789,055,508,253,140,167,201,245,919,
463,796,309,419,503,443,434,290,223,830,996,100,624,963,141,758,363,512,919,
093,009,399,512,060,264,122,161,655,557,349,163,700,240,674,794,038,890,100,
995,117,916,385,790,934,576,059,347,468,449,202,396,623,638,901,771,713,252,
746,196,444,807,943,120,723,854,939,077,180,285,891,012,612,151,669,244,360,
689,013,974,949,661,021,255,269,298,088,882,744,819,856,976,476,756,689,101,
625,619,008,953,153,652,941,444,333,415,459,679,099,386,730,003,496,823,076,
688,695,213,978,331,743,248,324,694,079,158,254,445,117,386,059,417,214,908,
090,366,003,163,114,311,515,780,370,419,800,595,569,088,817,850,166,063,029,
684,672,069,787,244,683,715,791,841,040,525,393,646,445,962,032,435,641,425,
735,892,363,370,271,876,842,003,917,421,001,368,727,480,220,786,005,681,463,
770,508,699,365,227,852,167,332,557,576,269,738,270,177,759,188,419,853,281,
472,292,828,223,415,296,210,211,514,866,017,849,030,536,394,418,899,700,162,
439,955,828,101,021,363,539,847,328,574,593,696,467,141,774,050,996,076,893,
356,068,346,179,538,376,670,781,207,554,983,374,850,279,314,209,560,831,417,
220,937,605,996,257,897,782,075,369,174,516,161,462,393,794,647,565,764,150,
420,302,680,399,541,971,632,741,867,068,493,791,765,389,483,099,568,861,454,
736,668,845,185,280,692,754,627,228,535,364,540,560,537,197,322,623,254,150,
096,623,560,610,514,454,871,800,929,352,668,671,352,383,833,998,097,010,005,
445,939,081,594,280,310,564,705,515,721,546,094,646,934,792,221,325,716,501,
405,294,566,935,336,437,279,783,658,858,780,923,331,036,948,942,224,639,308,
964,049,720,473,747,353,740,644,149,375,819,712,457,778,257,438,941,169,054,
481,518,739,882,157,629,867,353,045,018,591,769,746,710,475,950,399,366,978,
465,317,755,624,638,512,698,918,415,466,827,924,936,094,942,615,590,650,811,
265,876,309,126,646,607,032,522,068,677,785,646,004,371,850,125,564,160,027,
841,183,447,801,849,835,161,809,207,134,664,947,340,425,709,837,626,200,590,
185,275,221,121,259,737,442,935,774,556,881,670,087,027,320,006,276,883,433,
408,020,160,841,511,284,791,378,445,193,289,746,321,976,635,127,717,301,015,
225,103,922,429,098,037,167,873,042,646,980,174,559,480,036,108,171,088,787,
320,756,849,536,452,589,968,002,694,889,810,109,477,076,872,243,760,858,563,
074,441,391,463,914,868,201,133,855,959,308,402,260,546,863,000,212,367,381,
866,258,232,591,269,013,311,563,879,015,827,968,221,080,248,602,839,422,047,
355,679,274,644,036,542,192,736,446,444,780,953,280,831,407,383,847,787,530,
520,067,680,846,181,717,800,225,480,122,533,241,022,752,090,032,498,139,984,
691,992,765,178,093,075,368,314,081,647,277,172,489,503,252,556,582,738,549,
079,564,806,611,265,382,808,284,087,857,710,944,970,924,636,800,688,837,506,
267,675,107,937,971,642,178,568,663,364,293,838,286,872,415,046,916,933,504,
945,273,100,866,750,812,690,360,560,143,354,548,187,100,931,541,574,072,542,
110,212,208,340,075,651,461,946,867,056,724,674,818,321,076,370,770,374,150,
038,930,190,083,558,677,970,123,003,073,750,229,897,804,070,734,877,965,480,
400,405,084,922,889,587,427,726,494,055,058,688,015,112,368,383,644,578,688,
899,967,534,169,549,846,649,216,928,015,621,318,093,882,868,441,811,749,607,
025,689,518,405,414,644,342,390,151,372,283,185,641,814,262,456,187,809,114,
424,604,258,900,211,634,682,900,414,262,489,824,044,343,692,032,605,367,005,
978,974,599,908,944,663,886,159,437,069,479,814,696,917,655,463,919,045,740,
488,466,458,556,030,846,907,536,460,033,685,561,937,936,451,137,843,784,178,
357,149,196,827,396,063,149,487,152,083,395,882,055,793,831,860,585,297,381,
097,124,626,491,944,855,385,641,705,870,008,476,475,592,842,086,272,754,614,
554,223,767,997,268,490,178,318,721,394,015,819,579,929,840,569,446,656,093,
337,004,998,889,581,991,520,447,148,698,906,208,874,136,895,681,154,864,963,
695,688,703,589,845,324,209,754,054,838,646,671,905,137,346,986,406,415,097,
539,751,452,730,262,638,610,612,939,946,810,479,323,587,402,663,969,164,869,
675,775,979,424,554,095,325,279,708,990,194,548,106,206,515,922,101,964,433,
576,676,724,830,739,761,217,969,107,440,119,900,977,202,686,456,060,204,655,
007,041,612,211,932,656,409,432,027,981,475,495,777,233,638,715,070,025,080,
527,613,665,154,263,032,151,051,458,482,899,945,878,350,315,766,983,013,226,
118,608,110,062,551,683,478,066,904,620,359,238,227,902,868,220,436,772,517,
273,578,357,781,575,573,239,092,716,601,045,594,461,262,598,121,172,637,369,
322,481,666,343,775,641,140,383,284,819,803,305,063,013,949,385,770,646,928,
989,521,813,259,668,763,102,029,908,187,626,486,380,646,359,115,942,048,357,
349,365,425,179,597,015,281,606,337,922,138,719,160,843,390,040,192,575,544,
458,341,648,764,118,003,800,292,056,638,530,467,437,657,197,496,388,894,086,
004,361,411,032,243,421,657,131,543,078,284,005,387,289,237,393,852,941,069,
224,121,354,020,842,214,983,812,761,306,207,976,387,422,979,250,659,986,276,
534,592,543,807,748,455,783,290,718,186,485,133,348,971,696,495,419,017,017,
647,646,939,867,588,826,458,050,264,658,493,197,619,024,495,846,056,609,881,
629,273,185,611,677,457,552,179,440,888,573,809,446,427,902,396,205,683,428,
376,940,553,668,491,856,448,678,397,092,992,167,533,175,802,426,002,513,841,
964,111,909,412,942,041,170,521,896,579,856,447,879,971,850,697,803,233,546,
289,218,834,321,270,622,405,244,739,256,932,607,335,409,992,555,394,682,850,
200,419,731,681,221,772,871,699,756,808,620,026,493,010,605,904,084,457,551,
760,293,032,705,872,987,844,718,332,666,974,321,432,318,379,336,237,998,474,
039,663,328,999,352,858,694,733,938,280,993,531,231,853,926,430,320,085,209,
753,568,051,276,978,642,113,976,028,897,064,341,729,830,369,754,610,665,905,
009,748,115,608,563,035,339,373,580,939,570,109,575,749,217,422,350,804,362,
169,458,279,362,754,536,239,389,551,807,781,987,034,951,300,703,788,352,595,
921,457,393,341,453,209,765,443,724,573,915,381,487,321,428,932,825,243,603,
144,270,998,416,343,035,727,498,172,910,123,036,475,634,486,345,792,231,114,
500,698,535,922,846,932,903,302,646,786,822,986,942,301,410,067,411,951,755,
028,908,343,000,315,690,497,922,685,012,487,453,793,178,008,593,661,307,487,
149,884,238,850,497,432,871,220,670,506,403,031,204,783,964,703,692,552,798,
055,767,453,425,854,670,553,974,503,675,860,909,006,007,929,190,461,140,915,
154,918,708,717,667,557,033,493,120,262,773,654,608,151,154,902,616,910,461,
751,638,844,996,105,544,589,460,300,758,269,521,729,490,972,833,962,447,742,
426,950,068,940,780,845,088,528,345,941,711,804,003,269,067,859,115,656,092,
763,533,160,389,954,283,647,937,019,214,245,964,038,126,028,263,801,212,860,
437,177,799,219,638,057,643,899,282,824,314,433,658,160,496,845,123,010,975,
708,749,716,089,909,540,956,686,716,502,198,592,582,819,978,870,277,991,729,
058,411,898,726,741,197,269,961,921,439,049,624,405,915,171,222,563,878,431,
225,438,103,179,664,770,749,212,814,438,607,625,889,059,269,817,652,599,346,
171,481,871,835,469,105,248,005,591,978,691,320,032,590,210,760,965,006,465,
198,783,601,579,084,471,389,130,838,937,912,315,147,773,068,361,824,368,804,
984,212,434,633,820,081,436,171,321,339,629,153,836,846,252,436,531,934,462,
099,182,621,736,824,091,173,513,385,309,497,909,664,543,143,932,958,576,873,
294,262,201,746,287,609,992,953,933,392,814,099,869,137,193,433,761,379,456,
423,171,682,600,246,465,678,048,943,357,304,822,793,897,967,347,402,805,524,
758,973,769,923,649,158,652,842,033,037,381,745,905,376,187,571,649,502,468,
815,386,048,973,336,020,103,957,775,962,454,992,120,598,695,527,215,449,768,
093,981,477,837,816,791,997,157,731,729,001,685,044,646,801,851,020,940,511,
120,515,824,064,232,823,777,466,262,968,639,130,865,111,710,982,992,941,774,
645,721,489,198,902,033,818,075,847,633,060,940,695,859,733,064,338,874,576,
636,052,662,808,968,110,569,983,904,171,405,902,229,083,868,819,296,007,791,
036,146,514,848,508,564,219,118,563,763,145,533,953,753,324,949,962,213,401,
008,093,436,726,678,905,948,280,430,943,752,734,508,041,376,782,050,981,048,
335,185,791,405,839,650,410,775,502,673,793,890,548,197,879,615,217,671,245,
579,331,381,540,324,048,628,363,094,999,444,542,062,773,763,302,930,372,965,
162,283,172,718,477,676,413,794,184,604,578,704,364,952,990,850,247,139,919,
946,962,477,170,455,845,892,523,951,734,769,366,829,387,653,232,585,711,163,
548,736,753,415,141,297,098,128,471,763,853,064,456,355,128,265,591,242,646,
822,252,642,087,977,514,638,899,208,355,381,119,595,875,828,513,890,996,247,
528,556,371,029,329,986,157,967,535,391,766,416,686,937,725,493,962,556,614,
678,631,970,101,976,002,796,727,094,144,375,444,971,468,920,870,817,086,120,
310,299,088,988,194,947,803,496,413,853,026,948,640,317,883,578,525,176,078,
125,648,041,122,378,020,951,718,556,693,108,406,795,763,753,162,946,630,733,
856,823,667,889,528,448,142,324,579,322,817,640,615,077,060,491,803,523,584,
579,538,436,619,892,095,551,092,792,690,563,798,454,179,526,331,221,071,272,
081,877,514,064,706,278,996,607,395,745,265,736,164,495,926,973,427,551,074,
904,900,835,807,599,587,643,520,266,617,953,901,873,907,788,485,507,136,390,
927,746,821,024,562,550,699,294,537,581,370,251,181,141,305,874,129,208,931,
026,542,787,724,748,714,724,542,080,204,095,948,400,092,988,146,662,772,309,
698,636,777,783,285,347,375,004,363,535,128,194,627,902,872,666,753,630,527,
037,705,586,013,261,232,032,232,385,931,127,325,940,097,913,502,271,904,417,
713,232,647,332,849,205,255,888,792,242,252,844,705,795,982,808,104,269,123,
547,636,492,879,262,906,389,119,296,075,933,121,118,527,282,629,847,532,375,
265,968,568,513,409,247,298,189,022,746,757,286,400,214,693,367,879,571,938,
838,482,364,333,055,955,747,321,878,749,096,130,905,513,664,991,626,773,819,
316,534,693,856,818,842,749,155,600,053,280,685,404,409,254,677,619,730,776,
190,432,052,361,527,852,098,088,066,092,438,717,597,529,507,428,698,092,204,
145,664,015,692,448,660,567,434,908,813,556,958,651,458,947,133,919,786,098,
699,611,096,110,196,390,287,984,262,930,768,578,875,655,620,611,344,662,803,
414,009,112,289,733,891,667,676,029,775,198,201,339,140,760,664,229,890,213,
734,820,196,124,260,093,137,352,269,626,321,718,581,729,435,552,930,917,110,
737,695,052,077,618,475,971,156,996,501,924,832,355,659,411,027,357,729,524,
338,004,337,045,464,952,252,147,261,702,230,223,305,480,695,368,869,842,234,
221,435,714,144,958,347,637,887,862,183,950,001,879,305,973,656,511,018,437,
459,914,577,926,245,094,659,096,346,266,005,377,862,047,353,104,976,231,020,
047,284,200,078,923,102,195,294,613,120,620,154,722,350,516,616,401,860,432,
615,919,346,502,426,160,363,138,897,116,207,720,785,765,648,748,484,605,130,
741,735,626,632,104,713,934,163,856,242,511,703,397,844,251,874,873,141,501,
923,632,192,159,860,496,744,270,621,486,438,067,142,259,864,092,444,532,811,
402,065,358,169,422,753,047,716,402,033,633,574,313,458,623,495,085,290,442,
816,967,367,857,759,792,105,072,033,786,482,339,076,733,373,176,271,957,840,
054,855,830,450,795,988,083,097,239,520,850,291,821,765,096,189,108,296,488,
908,664,474,864,511,429,536,882,527,595,971,722,338,101,523,718,501,581,033,
234,542,147,499,505,523,524,260,437,329,741,819,665,207,086,720,695,879,140,
501,641,853,334,347,603,060,554,773,354,623,037,382,320,792,865,390,149,091,
318,074,787,505,056,582,326,669,915,038,577,421,758,888,662,438,700,397,414,
819,480,966,242,185,653,239,508,260,976,865,096,274,518,359,272,548,395,632,
435,550,999,987,179,810,163,838,439,435,600,134,648,476,126,311,263,438,071,
046,106,338,672,040,400,767,498,130,673,851,642,452,378,533,080,696,238,185,
605,861,288,767,544,685,659,716,737,429,914,057,985,264,756,561,459,590,209,
948,488,359,733,569,861,239,708,844,341,985,077,156,807,716,981,172,177,360,
935,319,921,650,321,899,919,930,054,505,131,218,132,931,480,684,727,607,771,
219,474,878,842,950,649,809,624,193,223,062,745,434,573,940,832,035,263,208,
941,007,066,082,857,895,566,018,142,550,380,440,456,148,903,410,501,815,438,
436,708,769,772,358,668,665,672,367,038,571,343,405,714,155,585,045,266,345,
262,898,788,476,165,537,720,924,562,421,717,277,369,343,762,423,572,192,352,
525,236,775,596,808,197,751,849,683,483,159,935,851,887,656,527,922,755,025,
714,159,035,848,211,951,849,535,845,459,099,534,788,712,571,350,877,158,169,
988,189,767,718,353,975,311,101,382,983,617,380,145,542,859,800,908,998,449,
198,129,035,094,031,725,106,772,888,953,759,815,078,875,562,045,629,726,527,
518,954,262,508,736,095,041,228,051,266,408,564,900,453,666,547,827,854,003,
681,181,464,681,460,841,311,381,400,752,954,536,380,364,198,834,933,637,730,
501,498,320,098,498,326,324,679,045,212,223,636,008,031,531,628,699,734,275,
578,170,906,688,250,673,860,288,548,859,138,756,452,837,372,057,280,086,806,
696,427,937,690,959,862,594,073,511,412,589,732,834,792,297,276,768,352,795,
103,733,789,966,714,408,869,340,904,620,191,807,444,719,880,168,488,461,599,
861,210,531,955,221,633,845,551,901,715,499,156,748,534,703,651,331,822,959,
623,832,408,162,399,114,268,694,025,205,229,725,479,927,130,210,242,790,226,
137,810,206,603,280,900,333,950,827,103,119,395,441,904,317,484,134,212,347,
557,645,067,154,549,356,919,966,347,889,420,762,451,934,373,587,477,169,498,
044,769,592,415,440,592,020,689,435,059,761,360,256,707,706,142,272,861,080,
222,581,102,309,733,534,231,764,239,600,509,368,783,206,447,499,962,029,987,
036,054,128,409,196,139,167,170,816,713,134,813,072,348,113,622,837,806,677,
193,927,247,803,530,241,047,484,245,062,193,913,662,712,072,424,903,722,691,
615,113,979,887,911,536,524,486,828,622,973,750,028,098,581,794,226,532,925,
053,539,780,874,430,095,951,007,453,449,983,086,534,541,969,637,229,702,928,
113,299,732,544,388,908,153,495,167,489,984,615,645,417,456,783,248,590,632,
802,398,920,956,867,166,987,569,353,514,751,735,271,367,141,920,807,410,195,
752,987,008,844,428,416,831,628,976,538,614,434,795,312,567,526,587,518,417,
241,255,310,205,677,155,901,921,473,706,353,247,570,987,618,888,180,618,586,
258,468,577,659,107,455,630,965,746,833,066,941,648,798,876,168,550,625,045,
285,013,001,967,524,784,931,841,012,330,698,609,418,601,569,609,828,012,107,
697,922,890,231,701,072,427,237,143,972,522,571,710,259,215,516,718,024,472,
438,378,021,542,294,633,423,424,987,194,103,864,320,808,678,149,393,115,256,
706,863,302,574,723,502,669,698,144,452,544,492,179,279,728,209,617,382,007,
224,262,556,907,239,967,602,193,946,841,453,122,402,754,052,480,539,958,659,
821,609,174,169,388,266,526,768,635,612,152,629,173,519,517,471,978,311,290,
875,609,078,480,433,218,935,536,725,841,162,742,794,039,188,696,480,291,911,
941,688,879,828,943,935,944,485,371,984,104,698,138,919,256,691,027,050,345,
911,372,068,989,919,694,826,349,473,407,060,496,760,216,033,909,144,097,064,
698,275,729,205,073,610,865,991,576,762,458,360,880,526,991,375,537,346,416,
205,744,032,117,389,159,918,941,126,496,000,922,451,696,355,610,578,994,020,
632,517,458,450,081,260,002,224,510,782,661,909,147,904,046,823,732,501,194,
033,172,804,210,829,239,115,922,742,585,842,454,339,935,098,743,290,569,461,
976,716,062,772,334,224,656,280,782,778,068,547,408,919,561,775,663,418,387,
110,732,609,504,812,814,306,111,586,199,448,134,074,374,607,303,846,205,165,
822,562,403,760,461,300,922,034,607,199,513,428,379,433,848,558,958,023,788,
743,661,608,563,158,693,771,695,387,781,903,721,481,847,018,316,752,181,064,
348,034,077,630,026,774,739,557,862,346,641,677,659,833,515,762,035,660,085,
996,515,689,591,795,787,769,051,554,443,268,180,414,622,163,108,352,372,540,
125,881,835,404,588,604,510,969,856,325,450,159,702,526,238,320,299,139,034,
665,094,042,867,188,348,655,631,760,784,366,865,809,204,927,748,900,551,360,
700,024,120,860,965,873,206,428,024,945,836,098,459,923,988,619,875,093,906,
385,621,278,532,974,088,266,160,992,137,177,452,601,750,950,749,222,900,058,
639,088,325,233,494,303,036,246,964,707,539,856,658,177,409,554,928,310,372,
189,159,737,113,376,498,362,594,236,060,777,608,004,151,958,055,077,259,154,
024,765,641,873,930,773,071,829,575,134,598,134,783,066,847,143,739,559,040,
273,042,983,907,733,475,647,309,427,348,128,456,022,946,757,079,370,448,748,
254,865,278,444,661,521,207,869,981,532,449,848,047,362,678,661,259,979,519,
699,431,681,968,401,642,926,315,179,679,901,611,515,703,596,522,929,145,819,
361,491,650,926,210,874,259,345,562,926,166,527,984,106,795,444,616,189,169,
883,395,275,908,859,763,666,187,700,932,089,748,408,122,946,212,547,104,633,
879,613,066,368,017,193,177,491,494,200,623,315,377,456,742,406,013,557,882,
466,831,787,112,885,470,556,656,985,960,430,577,277,762,358,624,870,461,253,
406,925,594,669,912,666,867,307,853,778,722,320,674,572,138,767,857,891,894,
518,539,220,287,065,656,411,058,658,824,082,988,467,453,431,767,006,917,091,
687,954,189,099,490,082,873,566,247,021,801,194,595,820,962,962,139,837,603,
431,120,511,233,188,581,100,212,532,662,046,055,969,540,930,867,098,520,338,
617,242,673,709,951,395,030,711,284,798,916,003,707,325,610,658,802,756,020,
717,674,532,707,459,730,758,092,460,743,412,905,779,832,546,109,339,633,803,
092,619,865,087,505,910,178,710,849,770,317,970,408,684,467,048,030,254,856,
909,873,637,144,664,129,697,990,433,734,926,603,607,628,194,016,286,673,001,
645,162,217,939,223,292,075,509,291,733,794,556,650,119,628,338,019,708,052,
839,192,023,283,972,768,063,413,824,331,575,655,798,728,823,643,929,495,580,
206,105,167,582,552,824,197,990,433,441,695,798,208,906,577,673,361,251,891,
299,968,819,958,618,191,754,621,117,872,977,274,891,323,040,266,906,958,890,
218,200,545,622,546,051,608,696,079,606,622,691,397,101,775,274,904,462,099,
033,583,497,976,553,381,862,975,762,548,454,036,550,712,138,114,761,126,823,
262,643,346,658,107,103,383,734,267,380,169,648,811,344,605,129,234,865,186,
757,150,414,366,070,080,642,294,096,098,950,518,359,093,753,399,175,215,108,
300,218,205,370,388,800,479,918,466,755,438,681,701,992,583,766,474,585,667,
270,157,327,092,883,295,969,828,425,279,199,668,045,010,797,047,346,092,183,
145,815,299,084,613,388,884,727,913,300,354,279,919,454,091,524,312,128,457,
908,003,361,381,027,702,047,485,534,184,862,563,627,992,012,220,282,614,021,
459,624,159,677,081,574,329,602,812,989,238,791,201,871,787,582,938,986,458,
348,921,917,766,426,754,525,389,330,236,353,464,448,406,726,360,468,560,594,
117,782,033,976,934,903,198,793,819,835,219,081,646,099,726,381,014,997,326,
468,262,896,303,229,062,614,745,849,414,042,974,499,990,630,666,198,840,750,
286,091,613,606,513,755,934,758,290,010,622,008,614,322,187,335,929,065,352,
449,483,471,998,080,958,035,846,986,139,730,847,909,441,415,538,760,185,777,
595,404,127,597,378,901,126,764,941,607,674,131,945,832,734,907,281,966,307,
398,602,222,058,279,238,886,145,419,496,832,225,818,404,519,979,796,103,844,
067,907,671,272,965,438,937,096,968,092,710,140,825,184,175,615,739,831,831,
082,138,665,398,967,701,315,803,943,005,218,968,166,293,504,637,020,089,893,
306,322,723,975,074,429,528,572,951,208,844,254,504,736,450,664,107,595,413,
571,923,516,186,549,762,674,688,969,866,162,021,874,769,515,654,087,414,175,
422,101,550,799,812,878,299,365,705,918,270,741,495,695,366,253,726,906,840,
022,693,228,451,669,782,693,849,236,741,803,984,589,514,304,032,916,957,237,
711,081,058,151,416,217,227,342,095,817,687,216,025,683,264,973,252,596,108,
728,412,103,008,428,586,261,836,532,384,391,225,038,724,343,030,654,824,197,
180,924,848,081,976,263,162,695,773,097,061,193,207,352,395,846,214,981,457,
528,921,560,395,505,842,197,818,180,509,595,742,326,134,130,056,409,229,941,
906,375,362,862,579,802,387,317,063,020,009,805,969,699,644,190,615,789,258,
127,282,264,715,513,320,065,972,937,044,424,347,672,903,413,232,033,985,390,
203,888,373,699,955,441,332,494,333,444,424,890,386,622,155,262,661,426,755,
118,899,746,393,675,369,714,254,255,623,367,897,863,888,097,532,162,676,513,
666,548,101,777,693,256,647,633,635,733,524,307,858,947,410,400,267,527,411,
968,790,983,054,476,213,851,973,595,767,055,798,139,583,273,170,360,205,785,
737,278,031,495,313,858,169,786,016,051,132,150,129,380,836,505,266,196,458,
540,116,128,476,733,496,176,731,511,705,341,622,222,098,284,567,410,948,765,
906,658,226,544,502,085,615,106,340,561,545,678,525,536,428,045,962,277,856,
500,696,379,090,264,580,779,595,948,759,177,989,013,386,286,194,988,803,065,
336,666,546,743,816,975,772,592,029,179,940,649,352,133,384,024,250,465,564,
527,816,202,525,246,732,955,023,227,290,614,753,135,531,750,411,389,625,783,
272,236,891,674,435,278,705,678,767,811,082,437,857,434,612,650,828,639,619,
182,291,145,064,093,264,892,278,772,687,225,447,123,523,364,028,636,421,538,
427,611,386,477,226,550,115,805,264,302,193,180,180,290,558,288,625,128,778,
322,439,837,021,506,296,951,241,401,497,371,402,467,610,386,390,210,915,115,
025,886,173,171,157,423,311,891,102,433,764,263,275,379,941,429,817,089,197,
206,828,869,477,824,971,297,366,875,546,970,771,455,592,164,481,154,472,150,
847,852,604,447,849,927,829,472,079,941,109,247,836,492,171,424,370,683,635,
212,830,638,721,922,250,029,831,365,828,247,457,929,107,724,244,156,244,192,
850,000,813,562,052,478,045,703,998,594,574,889,094,846,598,477,302,855,641,
876,608,409,440,464,475,814,902,999,384,886,352,335,635,430,643,970,456,653,
115,000,092,021,149,321,251,115,652,848,665,591,643,805,083,636,105,804,803,
279,746,093,137,927,554,059,607,485,389,992,930,719,160,183,323,169,085,919,
799,275,408,202,300,665,593,691,753,599,743,770,243,190,137,365,219,520,113,
251,512,705,382,555,539,558,242,310,473,119,958,928,687,017,819,643,147,210,
560,620,340,929,728,920,376,929,316,966,942,704,888,415,996,150,778,922,775,
340,623,979,832,924,436,567,661,412,745,853,882,089,358,251,950,309,490,770,
904,838,114,657,321,083,508,413,277,150,595,622,626,528,087,138,567,105,807,
378,147,480,934,539,967,179,466,970,190,536,972,523,994,969,334,799,268,703,
130,145,137,726,304,929,397,795,341,698,333,202,837,996,734,144,551,096,859,
550,552,752,694,721,447,643,558,736,069,239,642,320,011,765,316,329,347,373,
424,597,376,639,097,200,092,140,827,600,470,056,134,410,319,529,136,722,344,
585,761,739,260,435,844,372,449,619,999,654,797,293,936,800,034,012,911,413,
551,204,043,992,559,830,054,022,624,020,068,663,491,300,306,653,848,546,089,
545,596,985,493,139,522,226,444,330,280,581,431,802,476,971,583,227,291,884,
030,767,889,391,465,388,884,805,438,334,585,658,551,216,155,060,050,060,957,
757,561,673,386,141,543,087,307,981,843,854,268,128,271,560,200,857,497,504,
486,682,692,103,016,919,048,005,911,077,379,242,850,122,812,515,029,395,186,
988,400,024,767,032,398,329,376,199,672,586,055,859,091,546,712,854,409,007,
733,482,223,983,176,510,221,697,046,131,601,624,220,774,273,025,900,892,225,
293,602,606,968,757,613,549,571,565,922,276,376,131,471,817,668,935,153,830,
369,984,376,131,553,262,698,970,440,912,043,374,433,026,448,774,806,843,744,
945,584,013,086,187,243,708,798,173,436,380,182,930,677,647,046,938,467,005,
023,709,013,554,386,398,235,364,580,553,937,682,585,892,648,178,360,235,586,
265,507,758,430,115,106,484,678,730,660,413,886,779,212,922,417,813,000,070,
099,419,682,724,971,318,752,504,728,021,078,593,478,809,504,676,255,920,802,
392,464,637,348,981,949,942,353,253,218,691,854,156,683,041,886,859,033,157,
633,003,154,059,744,030,231,839,659,567,881,723,994,199,348,159,311,680,835,
439,833,047,443,372,202,143,299,791,788,594,331,325,299,776,848,168,367,550,
143,765,257,820,159,962,071,737,652,266,897,011,233,788,613,319,463,998,638,
055,857,191,785,980,766,775,552,424,659,241,402,571,769,398,984,472,363,402,
063,663,599,094,167,551,648,909,219,506,026,521,457,397,527,304,482,039,219,
740,771,258,570,723,123,303,104,536,312,072,044,203,331,834,287,838,147,119,
640,683,745,079,407,123,537,177,170,014,456,249,667,791,993,522,547,645,958,
269,788,064,844,140,657,922,842,960,783,506,994,548,126,385,211,369,272,453,
668,770,983,327,328,353,569,324,102,852,867,438,834,811,914,821,998,168,275,
461,478,088,429,818,322,945,186,365,748,677,524,749,350,441,326,979,662,972,
850,656,150,299,277,288,251,806,829,885,559,541,571,152,351,310,044,907,414,
221,948,808,054,090,790,960,634,331,718,001,513,488,704,680,906,578,670,877,
613,633,126,856,420,450,248,097,661,168,331,950,965,651,507,558,945,322,606,
974,880,233,216,432,729,440,916,728,478,454,112,105,931,079,745,119,708,314,
193,014,193,330,968,611,886,153,388,911,222,452,993,958,124,380,824,016,011,
872,626,858,782,335,106,772,809,445,726,115,358,632,035,849,555,712,046,219,
367,433,392,484,977,256,258,009,572,421,509,928,380,004,536,791,961,972,451,
543,877,756,383,272,793,551,114,824,141,038,245,182,365,398,389,236,756,954,
337,111,289,884,952,227,492,886,166,269,959,441,496,119,239,558,447,519,419,
735,905,727,221,962,762,994,000,323,552,191,773,995,066,213,319,475,883,586,
591,892,431,652,379,485,749,268,359,613,639,061,549,096,502,449,637,963,409,
883,353,549,851,597,884,871,675,960,936,368,308,862,486,221,634,985,409,825,
648,618,699,063,111,754,398,109,160,825,743,688,532,799,771,524,813,971,856,
422,298,145,065,740,291,901,810,471,503,810,817,285,488,528,013,175,688,125,
409,616,800,146,774,263,431,652,424,574,944,934,128,031,168,876,149,055,636,
656,395,200,811,564,432,217,459,790,811,509,576,403,699,734,149,972,501,092,
750,139,179,647,864,345,572,206,583,784,377,517,536,406,195,235,772,516,367,
617,631,220,939,588,623,272,341,321,302,083,170,064,242,946,717,972,323,502,
027,203,730,721,526,158,155,613,322,585,234,275,197,900,336,989,457,433,839,
244,778,207,523,131,302,690,613,197,349,355,852,486,012,331,695,930,305,293,
345,915,003,031,962,077,348,721,978,114,102,143,438,107,935,001,869,848,186,
950,848,730,222,055,417,448,233,021,893,805,670,641,200,435,805,112,442,682,
361,332,502,694,018,014,419,927,111,893,047,865,411,669,588,880,029,391,424,
868,328,306,238,213,609,924,502,051,137,195,068,051,449,200,017,275,299,936,
476,968,024,759,218,172,786,119,258,530,370,987,438,342,183,991,083,149,925,
825,736,025,750,060,745,605,130,656,071,984,468,302,601,124,265,867,794,923,
061,440,398,737,137,267,670,925,655,263,865,167,776,342,633,223,771,548,396,
027,641,675,314,107,810,053,981,697,309,198,847,492,786,120,028,262,932,185,
654,986,122,917,132,507,543,949,232,803,026,066,171,571,876,083,474,845,547,
515,620,422,295,803,337,125,485,852,984,367,294,126,229,873,424,228,884,459,
501,116,667,764,455,317,108,299,645,309,235,987,809,284,305,402,780,606,556,
215,114,989,992,644,956,715,000,503,361,426,577,961,641,131,810,427,424,431,
595,808,156,887,449,910,407,033,293,624,969,947,474,448,880,499,609,201,450,
628,947,872,306,716,822,682,036,357,751,035,565,421,966,157,854,347,210,844,
772,812,896,209,120,938,905,915,508,255,450,831,471,662,949,684,864,496,334,
284,818,527,998,767,883,931,522,835,995,257,267,645,550,220,879,716,868,274,
711,280,566,383,186,460,129,231,015,683,537,309,492,877,320,035,299,510,322,
972,854,850,409,427,723,311,144,605,375,133,004,417,810,059,351,619,498,216,
917,220,002,099,451,830,222,702,024,901,291,657,602,752,118,603,459,128,096,
377,795,988,489,563,521,096,488,255,569,478,327,504,301,468,101,632,667,287,
509,811,187,015,466,982,645,983,445,188,719,966,133,213,686,833,431,628,072,
478,062,745,203,903,758,533,642,838,514,427,728,644,551,305,708,848,368,955,
095,012,124,058,245,179,933,075,858,143,683,200,314,174,161,041,566,945,978,
132,217,454,567,857,869,467,611,264,103,317,313,756,398,300,366,983,166,897,
127,270,008,622,336,400,212,172,442,211,031,960,388,927,366,261,439,790,438,
431,419,149,262,514,658,977,003,391,277,615,785,141,064,585,125,258,446,601,
623,361,396,961,823,071,980,771,839,321,457,571,750,224,890,132,028,408,398,
044,964,061,033,346,025,192,777,520,736,343,659,989,435,313,150,126,358,230,
095,447,483,524,450,943,483,201,727,104,349,002,536,294,860,877,508,794,322,
755,006,218,507,640,807,246,661,271,718,702,998,155,983,712,273,409,638,342,
751,833,553,801,777,452,763,306,244,833,465,865,893,279,047,271,405,800,542,
211,641,301,081,045,178,923,070,717,175,146,628,192,601,560,444,397,428,410,
179,682,894,352,279,435,448,068,513,996,915,888,346,493,461,844,171,259,636,
208,298,860,998,672,842,707,047,328,016,722,478,113,351,327,900,004,712,666,
842,550,353,131,056,300,836,257,865,580,280,995,317,543,198,715,800,573,623,
775,407,512,126,463,902,908,563,770,980,517,468,013,067,326,836,101,416,921,
924,088,308,554,234,689,790,790,523,335,249,957,372,935,338,102,729,531,232,
277,144,298,114,417,337,591,281,566,498,523,058,583,973,763,909,638,864,104,
189,073,679,364,823,090,660,932,428,310,385,739,933,445,071,795,535,723,301,
481,276,643,006,342,720,764,374,984,027,066,434,184,317,553,539,632,695,557,
640,123,460,291,426,715,467,344,042,582,345,896,014,494,231,183,869,453,007,
525,307,719,519,809,824,982,205,738,081,733,058,296,737,575,533,407,857,893,
322,480,719,478,073,968,950,423,395,037,635,622,583,392,066,323,402,753,943,
258,451,306,539,790,264,935,187,914,984,874,094,288,888,272,391,983,812,408,
295,326,349,051,637,753,147,061,802,080,468,142,227,458,628,559,404,991,886,
184,256,650,299,942,828,087,642,928,952,771,348,037,179,793,892,385,908,211,
585,772,074,302,685,637,783,825,646,553,379,872,077,634,100,274,581,893,265,
224,827,347,559,492,578,022,033,453,610,222,771,927,647,706,399,027,271,806,
040,476,871,849,862,595,377,500,513,918,642,253,242,610,431,271,356,987,472,
025,537,843,497,238,455,112,260,247,939,766,032,825,897,519,904,102,458,789,
851,903,286,633,138,692,989,905,429,558,550,205,159,852,820,873,321,058,122,
666,740,002,388,114,016,318,745,181,602,467,745,666,180,692,095,961,461,049,
676,909,805,461,682,894,709,266,470,519,594,212,653,110,627,211,300,996,300,
455,430,323,152,007,799,862,636,729,885,912,035,859,368,650,836,185,133,189,
734,278,702,501,532,329,202,647,304,220,792,568,111,875,073,018,699,918,364,
529,716,735,356,087,207,623,658,286,117,816,551,045,443,861,947,927,860,440,
580,450,930,030,784,326,072,758,648,120,954,314,240,300,422,684,068,208,058,
182,254,189,690,448,711,176,421,265,882,631,922,704,932,528,177,297,006,871,
798,974,912,052,010,326,618,132,023,748,633,167,216,931,926,481,213,020,584,
988,250,924,315,127,854,284,075,080,382,157,885,333,592,349,993,518,210,435,
853,117,140,852,640,820,720,445,385,365,777,957,269,397,983,619,189,994,171,
098,069,015,563,747,567,138,895,056,527,010,613,994,938,182,464,812,780,477,
162,366,265,716,345,791,005,896,538,709,779,982,126,217,070,318,339,460,818,
396,809,356,133,612,238,255,510,868,052,207,084,418,351,112,344,543,966,102,
579,370,323,773,187,436,496,843,619,839,432,385,767,444,283,888,036,861,117,
534,037,858,543,476,886,790,998,767,193,266,762,248,198,383,348,269,991,819,
733,607,246,747,778,905,587,864,290,456,409,258,038,792,394,634,011,436,143,
396,900,015,945,180,157,573,782,192,476,154,258,418,199,960,788,749,113,363,
032,885,806,156,334,314,850,090,593,717,913,749,545,572,941,323,048,621,952,
831,965,055,076,049,502,208,274,525,213,592,367,769,657,198,269,023,792,069,
090,049,097,388,862,158,533,282,430,798,235,494,241,863,210,063,064,974,461,
903,673,569,233,817,793,368,181,226,985,628,710,050,643,883,508,455,863,941,
427,029,323,356,519,350,597,560,095,135,369,683,929,144,341,458,292,623,946,
057,411,798,823,896,012,756,691,783,167,987,373,465,321,138,372,741,535,279,
406,683,661,990,329,954,381,141,540,021,213,546,079,959,733,870,618,167,117,
628,554,637,861,216,759,130,598,061,459,583,144,008,875,602,343,598,787,508,
640,758,933,006,992,749,914,438,464,268,775,762,172,915,218,711,446,826,375,
994,730,151,006,377,444,153,296,774,767,477,701,194,329,221,184,028,851,826,
743,927,210,620,490,341,262,198,363,387,575,453,271,743,609,780,983,947,617,
560,395,373,827,187,090,162,952,723,328,941,510,984,569,769,827,563,516,223,
407,047,012,185,083,766,555,210,815,626,297,038,615,865,925,233,201,782,649,
174,906,839,667,796,039,844,858,364,436,839,320,880,616,423,483,766,553,288,
875,905,645,089,871,014,023,033,432,894,927,487,772,484,752,870,196,468,432,
286,063,975,604,906,537,942,506,096,095,095,618,880,330,062,159,984,356,159,
200,445,392,510,161,162,427,990,141,870,914,844,633,592,811,360,456,467,534,
420,900,143,099,962,500,148,052,171,539,679,537,535,115,407,063,701,323,986,
190,133,444,631,715,503,523,990,615,524,957,740,449,287,044,842,498,582,636,
145,828,335,564,241,793,979,599,405,304,369,321,219,217,291,923,081,923,789,
934,279,854,703,036,653,000,933,308,937,838,737,871,678,584,296,221,586,576,
183,903,818,598,785,412,481,808,446,908,811,880,058,979,155,978,192,447,264,
608,916,617,839,273,424,989,546,038,704,310,338,572,560,385,670,672,778,619,
865,710,403,145,613,776,900,207,125,431,335,436,553,617,067,561,527,785,004,
126,634,822,706,039,167,776,074,325,047,965,374,234,844,781,892,890,781,300,
250,136,030,442,323,061,026,233,967,221,822,733,764,638,265,489,200,715,416,
181,997,751,146,581,029,138,725,280,253,971,746,107,669,237,317,397,137,992,
412,814,780,681,100,391,278,471,104,226,631,348,415,555,074,716,686,121,079,
904,828,023,649,536,293,711,149,584,481,273,698,887,094,977,592,733,231,280,
075,687,239,950,963,211,661,616,128,880,230,176,525,334,734,727,255,756,010,
023,156,752,716,015,580,019,780,107,369,229,765,932,466,322,452,332,496,324,
132,810,688,882,471,708,560,295,486,654,497,241,823,222,704,385,001,167,087,
205,660,773,165,478,782,648,559,177,056,843,410,557,348,411,477,112,586,554,
077,757,283,748,614,094,728,690,331,224,201,658,952,721,929,753,863,621,074,
779,290,847,355,757,681,330,905,912,320,960,478,398,451,739,272,977,710,110,
437,461,277,300,807,273,989,730,973,685,240,109,999,309,011,647,392,326,092,
722,856,475,125,372,740,501,978,024,433,110,199,831,236,380,469,278,128,483,
525,304,184,563,690,076,941,618,429,639,045,261,660,453,512,664,143,485,042,
549,669,165,730,668,376,414,512,736,565,461,785,627,508,031,486,120,133,276,
575,893,817,294,658,967,806,386,469,646,378,565,513,302,038,956,227,741,081,
454,416,891,108,054,045,544,879,168,075,549,221,093,040,081,896,262,283,758,
518,116,850,945,311,964,502,811,208,781,068,616,550,884,513,105,841,912,634,
860,717,322,996,550,522,251,269,567,427,306,314,365,120,751,306,346,178,423,
879,084,686,676,619,790,699,622,471,178,350,171,151,463,150,589,053,201,300,
827,948,460,029,498,253,190,237,409,836,888,761,649,285,914,348,821,448,567,
485,667,452,781,725,648,213,583,656,635,711,539,305,159,559,575,526,872,378,
690,266,831,996,440,453,337,866,244,576,701,153,533,904,666,950,353,887,249,
191,745,288,181,408,270,648,419,216,237,524,343,569,902,702,711,777,842,721,
906,088,804,546,644,978,073,266,432,520,535,818,845,021,211,787,167,155,619,
097,240,267,154,634,289,613,634,602,284,250,493,442,642,934,237,714,108,527,
136,807,286,053,110,716,482,477,539,707,480,731,438,434,447,103,707,117,964,
324,560,860,929,278,309,013,770,979,623,104,862,400,582,880,853,415,215,426,
246,993,615,673,717,136,214,396,013,942,030,211,274,208,801,196,776,378,085,
058,882,248,462,085,629,245,516,661,846,514,599,966,178,591,877,343,177,018,
097,505,063,980,712,645,459,121,731,649,886,821,567,814,940,258,679,424,122,
878,195,955,610,412,506,027,519,325,546,568,722,751,412,502,876,698,988,847,
978,435,267,631,298,101,432,081,818,694,595,806,924,229,270,708,698,952,324,
114,599,778,997,525,425,671,138,542,097,709,065,051,218,172,378,369,368,192,
168,050,891,000,622,992,149,029,987,106,482,611,973,935,787,333,576,337,235,
406,058,752,373,680,257,307,704,720,243,636,700,596,719,550,247,088,058,708,
358,086,127,836,063,548,845,924,148,364,156,074,259,349,484,085,124,010,011,
100,103,557,168,981,957,995,949,032,669,042,383,508,783,931,292,138,698,921,
098,335,026,117,468,235,722,717,433,723,662,935,564,592,179,355,875,936,250,
483,218,260,437,108,577,688,472,525,509,708,250,195,459,480,908,783,402,456,
869,090,616,283,185,077,225,714,817,276,024,317,404,147,736,128,058,767,125,
251,052,459,843,135,717,338,570,282,082,346,239,146,594,341,858,892,283,294,
068,942,994,306,113,080,940,719,278,133,992,898,819,283,621,544,673,229,230,
821,591,316,274,346,921,879,619,111,007,212,395,964,660,390,189,178,240,524,
826,502,907,739,416,538,966,007,953,552,763,439,620,225,910,761,426,003,286,
458,717,433,429,791,401,782,568,814,343,578,699,332,015,619,342,046,296,748,
780,262,180,051,598,050,746,980,404,619,043,648,880,453,134,547,916,300,880,
748,821,970,477,332,087,884,178,955,401,646,760,432,159,072,162,611,360,757,
819,568,668,675,554,303,643,269,871,038,235,498,695,057,384,258,602,046,827,
232,405,384,540,986,718,250,941,214,491,897,996,944,623,561,589,609,547,981,
519,887,177,074,184,491,210,969,019,962,445,955,527,645,993,848,419,844,388,
024,590,720,941,446,406,710,336,630,073,602,747,146,848,035,251,877,756,322,
019,226,249,426,657,197,075,338,264,320,387,423,406,281,294,861,567,703,332,
929,523,662,464,380,100,806,694,149,410,834,221,582,640,417,114,644,627,154,
612,317,436,154,249,344,728,003,878,922,567,919,315,058,115,209,996,635,706,
661,852,552,110,027,687,927,825,238,495,045,498,884,862,489,739,651,096,748,
899,693,330,509,108,459,174,622,826,573,352,567,725,081,354,204,227,717,752,
876,860,953,282,633,321,351,252,274,269,863,790,996,230,254,676,047,263,720,
360,376,045,741,972,378,113,794,087,083,886,556,037,725,769,410,187,416,267,
670,103,094,084,643,349,196,770,582,040,178,812,175,013,857,404,658,398,576,
883,910,698,926,156,130,332,434,252,318,307,547,026,407,424,364,172,518,927,
912,951,510,351,113,249,071,217,156,335,443,110,236,801,750,778,834,260,634,
869,330,432,675,515,113,075,716,621,510,683,371,719,699,407,205,054,537,424,
679,984,961,605,332,696,057,761,830,327,148,128,167,964,172,271,347,993,114,
800,927,637,987,975,359,238,209,649,982,870,244,944,823,399,409,036,952,957,
219,370,341,614,716,498,168,488,484,936,207,876,492,308,830,555,346,408,969,
088,285,527,519,941,818,881,310,925,880,780,756,093,631,001,714,433,394,394,
002,610,921,638,321,550,937,368,783,292,578,931,563,759,913,022,049,810,726,
764,072,419,992,899,031,672,379,002,254,185,549,426,934,323,164,246,185,895,
929,663,922,123,317,936,589,650,047,104,045,255,148,267,561,591,286,653,585,
345,534,707,130,853,676,442,467,054,631,182,185,440,533,090,183,835,699,164,
126,448,444,816,516,669,239,179,932,156,712,837,541,702,989,591,136,409,558,
269,364,958,820,113,357,831,717,511,213,026,078,418,486,066,032,665,997,780,
428,584,457,062,318,683,081,108,064,647,621,985,086,390,483,450,833,789,041,
827,418,008,147,569,270,062,527,915,912,026,417,937,865,915,904,757,187,056,
533,314,529,795,635,986,826,234,463,755,952,526,682,354,227,727,307,857,617,
027,755,643,398,289,561,005,961,751,894,154,534,249,688,236,076,843,637,643,
721,830,332,436,164,672,787,393,567,037,153,276,667,194,634,291,488,882,640,
328,285,303,127,875,077,770,534,211,197,002,029,682,206,025,897,615,712,451,
158,166,250,135,359,813,859,533,859,037,992,846,682,151,545,167,140,415,505,
704,403,037,852,741,467,578,533,542,781,475,717,864,575,615,104,178,424,692,
369,893,310,258,371,820,803,982,477,525,948,981,661,211,261,518,213,126,407,
084,943,769,747,289,879,537,780,413,818,702,100,624,427,993,023,754,721,854,
031,545,543,580,084,302,263,694,685,139,215,423,098,720,964,371,049,782,297,
322,187,914,496,688,823,769,938,111,383,090,098,184,859,345,559,329,129,458,
604,720,046,532,120,695,596,151,956,663,505,873,376,770,467,265,453,051,307,
248,885,207,636,079,733,037,397,624,001,790,551,809,166,689,212,140,228,841,
123,641,919,878,093,361,970,840,774,166,559,033,268,300,382,166,482,060,442,
376,097,818,279,719,460,359,025,488,873,845,770,411,565,380,000,611,201,499,
219,431,119,515,507,291,466,670,473,025,250,448,497,695,628,494,126,896,153,
563,755,991,481,091,265,624,151,365,132,777,293,846,063,410,167,039,370,010,
255,927,061,075,727,393,700,866,875,263,118,079,055,753,555,987,815,160,029,
221,346,627,027,286,736,200,096,959,597,727,894,746,915,889,673,948,246,418,
256,236,198,998,840,135,269,314,765,544,807,153,125,631,062,538,766,794,538,
130,800,507,143,150,554,879,555,242,008,065,032,836,861,404,168,281,847,163,
778,973,223,259,457,126,865,206,842,188,132,565,140,521,669,092,516,346,432,
724,509,540,389,456,323,663,319,895,409,586,557,527,502,275,575,141,192,114,
331,849,705,712,096,063,442,908,547,173,724,400,624,224,813,928,486,086,905,
930,637,338,889,371,125,122,061,538,386,634,103,573,278,063,239,235,078,375,
021,277,977,262,649,220,741,550,272,480,359,188,630,990,065,885,907,854,900,
997,108,782,318,172,399,301,915,951,048,133,430,745,008,609,626,192,860,213,
291,997,371,781,590,904,882,689,055,630,002,967,216,667,392,655,784,554,199,
964,586,218,529,797,111,841,262,821,852,648,976,300,343,528,979,967,593,779,
605,805,304,359,417,649,667,055,045,326,732,678,696,001,514,313,186,331,047,
652,576,754,950,522,073,197,335,132,022,866,597,023,065,739,362,534,399,802,
994,894,730,356,014,506,466,414,657,877,199,072,146,130,578,449,680,273,572,
154,048,477,685,638,735,981,538,065,056,519,174,354,344,134,854,958,286,005,
417,211,478,547,405,298,300,937,557,924,768,551,147,224,563,829,282,509,313,
222,137,211,392,895,680,952,023,473,573,290,773,830,715,687,113,617,677,619,
972,180,410,093,275,156,795,337,675,005,859,214,543,005,178,054,766,559,306,
256,996,604,827,350,021,345,992,515,726,731,222,045,368,958,872,478,064,290,
440,179,249,316,983,004,255,298,966,536,955,610,617,220,653,517,475,953,313,
109,905,934,967,002,578,077,832,924,712,164,684,332,921,863,261,790,199,031,
872,351,713,514,174,079,879,679,951,371,736,178,855,223,057,756,853,396,438,
185,519,589,375,343,775,694,310,944,564,832,451,799,003,421,885,811,909,491,
931,883,524,149,255,014,344,813,994,497,514,174,326,959,302,187,979,430,387,
821,764,931,776,507,566,988,308,257,651,235,774,101,101,060,844,814,931,383,
820,472,230,832,990,661,870,209,125,920,731,352,822,410,487,741,613,401,832,
977,325,647,293,392,446,108,723,037,937,673,132,953,282,079,176,571,248,262,
488,908,103,820,053,088,796,502,222,969,023,451,992,010,069,936,642,059,100,
829,996,712,165,346,461,412,592,363,966,600,920,384,467,859,319,761,151,766,
161,632,429,759,920,877,933,313,973,564,587,323,048,039,046,180,320,049,541,
231,774,311,472,084,554,373,990,176,490,553,810,261,428,236,862,940,407,779,
097,951,658,712,455,466,741,253,256,139,069,143,069,592,128,838,422,914,823,
979,115,067,678,434,944,811,263,119,078,306,376,927,622,971,399,899,297,238,
388,728,005,053,665,039,298,344,023,414,061,693,072,669,188,534,135,395,582,
827,383,016,135,005,163,698,747,586,937,886,039,884,712,625,011,771,746,123,
518,285,686,418,052,444,352,347,948,734,446,099,536,926,928,923,617,853,446,
491,372,000,406,002,281,473,147,091,404,475,994,432,026,748,143,901,814,408,
186,586,864,069,299,371,206,363,025,535,896,770,223,686,202,427,443,813,703,
565,885,401,071,298,460,986,613,081,641,128,233,352,187,381,867,986,875,596,
944,280,755,212,599,738,522,146,615,837,508,712,827,701,149,973,779,546,318,
685,575,917,966,745,028,552,498,579,531,473,647,870,925,836,642,199,382,028,
032,305,331,276,411,806,369,309,468,350,786,724,134,417,981,609,828,522,319,
906,150,968,573,011,484,519,028,317,639,547,689,532,982,245,210,498,012,458,
886,890,275,893,850,444,785,916,844,234,147,923,686,905,392,025,951,078,670,
064,388,658,969,586,442,431,345,183,649,282,146,743,870,944,531,888,312,603,
402,858,178,451,847,968,104,049,730,577,701,442,455,864,937,832,886,734,100,
403,941,881,388,167,022,275,686,503,451,905,447,959,716,468,304,193,869,680,
765,091,989,902,902,844,958,884,707,583,177,081,935,002,333,325,299,239,007,
751,589,379,270,790,663,896,311,355,144,719,502,477,651,174,860,994,589,544,
737,679,069,588,920,566,421,542,902,055,732,504,612,912,042,759,878,988,655,
618,686,476,057,528,291,612,422,140,542,010,555,154,608,706,708,176,715,786,
258,602,809,886,531,967,949,019,918,566,326,511,635,306,531,820,570,360,517,
468,502,048,204,437,801,892,948,736,800,325,166,837,036,862,038,163,271,559,
883,744,983,481,974,547,187,014,715,454,717,663,433,013,498,286,569,725,007,
472,385,783,839,537,907,800,286,676,694,095,412,263,899,775,443,708,382,867,
620,299,596,583,814,072,875,499,164,418,219,877,959,510,075,493,332,523,207,
184,603,571,602,192,525,072,809,821,243,984,030,091,274,209,562,446,503,834,
376,445,974,982,126,296,599,575,587,100,843,216,339,861,879,902,385,837,966,
257,756,398,824,365,878,771,845,181,273,174,730,378,025,036,004,544,050,341,
481,418,709,916,206,890,874,158,812,988,784,327,385,990,194,593,821,890,611,
076,035,072,003,372,613,996,898,717,312,330,653,676,165,702,765,777,327,516,
397,200,494,916,025,830,337,771,687,391,837,180,488,436,338,557,071,573,024,
959,810,239,020,381,322,447,691,825,010,046,117,371,901,242,603,356,121,607,
423,057,506,936,916,746,715,467,760,943,110,365,449,175,585,739,714,855,315,
155,262,242,081,736,647,492,255,466,536,778,735,132,146,851,748,636,751,441,
273,264,001,007,729,923,187,634,506,314,723,559,036,286,842,973,187,692,862,
839,884,162,650,833,739,918,048,003,526,534,990,183,655,379,804,841,388,610,
770,938,085,755,582,975,746,410,025,820,244,245,250,421,831,758,611,507,304,
985,882,251,761,639,080,678,327,197,439,889,686,106,051,629,752,242,920,406,
737,609,435,626,434,142,412,363,199,643,901,263,292,808,809,176,198,688,782,
817,632,426,582,807,496,903,566,818,194,735,340,175,616,169,273,107,484,149,
030,067,713,716,294,064,108,907,917,891,375,823,847,209,773,760,793,113,270,
649,679,401,137,828,751,090,453,801,899,494,740,926,094,607,591,622,782,521,
648,587,278,757,818,352,346,568,135,357,420,116,408,568,378,076,998,312,538,
060,157,896,398,737,047,719,330,397,825,704,860,365,159,515,127,317,751,601,
189,542,352,406,263,539,042,482,423,911,757,046,826,058,104,939,651,966,278,
989,152,196,443,069,445,194,455,446,246,703,633,040,223,069,064,502,798,681,
358,795,802,295,378,034,100,247,371,792,102,006,803,037,892,821,655,768,168,
671,501,979,464,548,740,931,610,629,979,116,081,132,165,112,008,440,188,368,
895,281,305,943,005,560,753,272,692,451,501,174,643,455,672,093,996,593,523,
096,382,668,786,664,100,781,339,442,503,040,844,921,686,052,071,576,745,478,
844,549,962,684,999,055,909,761,140,261,406,632,210,304,728,285,761,877,628,
106,395,332,320,019,069,338,562,557,941,380,596,653,824,894,366,289,385,770,
577,353,709,477,767,684,403,877,474,366,226,849,011,648,526,479,981,680,361,
179,110,649,075,031,804,698,153,350,979,064,716,671,491,195,588,360,986,399,
002,214,653,302,114,557,611,672,608,494,039,377,188,177,172,817,920,802,764,
071,100,630,852,583,427,154,577,188,426,290,950,205,709,444,461,116,472,856,
268,120,168,790,249,515,562,434,858,598,592,626,706,268,669,506,028,667,125,
383,115,127,701,100,403,444,230,614,455,166,680,389,917,159,548,982,945,381,
655,455,340,383,094,575,198,910,103,940,388,481,787,572,738,081,956,128,578,
250,266,079,645,996,239,992,925,501,568,104,108,276,490,134,732,341,058,973,
452,893,822,883,854,406,831,387,034,534,170,724,326,852,893,226,373,342,585,
894,192,212,917,388,614,858,998,222,380,189,538,580,456,970,297,899,074,490,
357,385,654,194,808,821,485,585,197,429,622,976,063,804,343,535,731,647,757,
046,023,475,718,549,450,972,384,041,808,672,633,233,681,076,457,711,266,069,
741,953,666,738,532,923,054,564,113,774,588,425,538,133,163,232,685,353,375,
035,347,667,433,582,926,685,417,900,074,333,727,946,104,615,990,536,159,356,
098,047,055,569,636,579,336,769,030,868,323,909,498,231,891,075,245,109,058,
272,531,989,026,903,844,701,112,226,266,156,487,710,924,155,676,900,647,587,
411,752,886,427,695,288,008,801,089,836,556,159,296,413,084,771,057,999,146,
208,276,186,270,411,721,853,749,063,211,614,904,221,031,720,875,282,033,019,
117,761,257,640,230,375,802,323,158,258,304,856,876,334,061,293,714,061,583,
901,483,684,704,775,017,794,712,199,903,127,795,579,025,468,699,554,827,961,
118,516,976,444,660,583,022,783,476,028,886,008,406,942,132,248,007,463,983,
334,677,099,991,423,689,549,440,782,101,939,258,456,561,855,603,884,919,006,
403,371,829,297,458,966,648,147,228,192,587,428,008,016,999,985,133,102,789,
580,701,510,996,473,362,718,104,907,587,130,563,662,268,343,815,694,662,866,
100,369,136,415,565,613,185,790,469,976,488,456,343,428,363,222,267,282,408,
017,517,251,440,578,871,863,149,362,034,275,936,034,538,710,500,639,918,339,
899,038,092,379,684,116,622,061,415,568,699,161,363,289,813,427,812,422,213,
414,765,239,014,183,298,274,503,652,543,430,882,831,086,398,411,719,940,993,
708,637,448,748,628,438,957,261,024,332,822,613,704,296,924,503,345,517,087,
032,401,398,426,400,230,004,062,792,494,745,243,532,027,264,182,905,238,087,
826,947,622,048,527,866,550,886,919,875,049,526,155,652,378,453,516,227,393,
706,007,077,832,889,977,013,206,387,125,087,863,813,848,984,176,113,114,957,
763,868,978,971,879,542,111,245,044,537,587,659,887,198,831,097,684,945,764,
953,147,510,635,213,600,900,495,482,729,692,915,681,389,518,282,297,522,822,
322,293,748,951,183,788,027,614,680,977,950,543,872,693,830,373,969,100,221,
433,545,306,275,893,211,765,791,985,719,068,791,236,347,409,207,043,260,519,
268,656,745,952,189,492,632,832,355,879,940,111,232,550,991,922,073,176,982,
014,980,070,272,997,855,391,176,002,066,391,322,279,276,814,753,275,997,434,
645,310,410,930,347,433,574,702,727,899,677,496,714,179,561,582,257,111,549,
738,987,464,467,800,047,215,234,251,299,677,454,380,739,648,456,400,226,876,
981,024,221,092,495,694,141,587,468,645,820,625,074,442,459,440,523,346,243,
631,941,881,646,180,752,208,724,462,652,091,863,029,845,308,052,071,234,233,
187,818,840,752,159,550,305,161,019,586,872,740,689,806,095,640,860,340,198,
577,044,004,503,843,114,814,846,638,114,666,824,047,426,104,566,746,130,056,
297,599,640,118,827,737,561,985,187,455,383,141,301,142,203,466,612,046,621,
194,508,764,383,309,406,195,261,979,979,611,946,608,782,669,035,392,974,263,
751,958,944,796,048,338,640,212,619,561,173,795,315,442,336,605,032,834,100,
577,600,955,121,108,673,562,057,345,368,307,517,216,023,615,389,751,093,314,
315,997,446,125,867,340,928,769,032,536,987,455,483,769,520,018,519,647,693,
159,180,858,524,225,842,029,725,287,347,109,442,798,745,779,025,343,706,809,
601,914,317,014,631,685,339,205,166,381,175,123,157,865,181,661,897,441,740,
177,545,853,241,419,663,176,459,317,961,280,875,920,194,496,954,493,597,913,
958,327,904,765,183,307,695,758,072,037,214,982,145,902,648,430,526,810,613,
733,268,083,215,854,994,089,567,203,488,636,536,416,355,539,528,680,542,585,
622,111,452,709,735,221,226,643,261,746,945,685,361,049,338,843,036,658,929,
378,189,649,807,368,259,979,516,604,602,786,750,174,485,340,936,651,303,809,
373,874,288,368,743,747,433,901,628,432,085,795,597,973,096,902,748,942,433,
990,871,582,819,780,317,224,400,871,407,661,366,956,732,330,673,865,350,238,
172,960,761,685,345,948,392,986,245,089,718,420,339,940,180,929,277,250,370,
551,385,409,815,965,720,620,773,834,151,489,589,667,727,299,768,397,429,486,
138,014,980,394,012,139,231,753,792,383,513,432,083,964,601,736,151,725,122,
336,569,803,344,457,957,557,592,449,711,481,351,051,714,518,853,497,143,659,
984,930,220,639,789,317,311,804,500,792,914,494,880,923,878,517,183,575,466,
948,250,043,988,621,138,740,212,270,950,440,645,922,796,397,244,549,106,253,
020,811,804,641,511,137,807,793,701,117,875,035,414,299,694,050,173,371,953,
124,267,124,188,841,941,147,512,246,120,248,915,793,361,804,478,649,941,174,
205,218,616,967,997,828,829,843,486,452,403,058,452,874,857,463,306,259,836,
593,772,338,539,401,248,405,085,277,868,673,789,686,096,260,942,313,799,030,
082,090,893,472,229,709,226,812,570,842,117,157,428,655,565,373,386,217,696,
589,087,306,133,842,360,062,271,630,961,229,690,539,096,987,999,278,074,481,
480,474,889,894,411,684,627,778,471,840,090,141,520,173,227,525,583,908,469,
285,927,526,905,517,968,894,844,169,678,028,180,499,535,069,722,095,133,999,
920,649,021,971,454,752,397,444,210,337,804,826,960,694,490,509,906,037,955,
542,929,418,223,080,592,008,417,137,715,385,730,946,336,940,340,838,268,182,
530,156,398,701,097,707,686,917,112,530,253,701,295,794,878,256,960,547,032,
491,062,346,770,003,770,707,105,223,391,493,414,357,055,156,368,685,466,130,
595,837,862,872,487,134,951,323,117,283,705,672,884,604,661,336,824,725,813,
540,486,112,841,701,825,420,597,435,953,082,251,383,393,513,317,384,836,517,
045,886,508,554,642,132,376,680,037,056,724,163,090,065,733,060,620,278,769,
485,343,882,363,039,907,749,017,683,947,424,349,519,487,881,920,319,510,293,
194,066,749,390,301,028,880,722,884,639,994,102,689,034,564,518,899,645,382,
180,447,706,994,698,755,915,572,719,581,381,286,205,517,236,460,500,819,494,
082,813,812,227,330,112,944,902,905,231,795,901,581,846,399,433,079,732,485,
671,019,847,519,032,866,732,970,052,196,634,881,368,459,760,767,696,916,041,
232,831,195,041,358,548,094,715,922,677,353,501,088,134,286,957,335,963,858,
048,628,725,050,300,459,820,626,727,196,716,895,510,212,542,008,053,199,297,
088,802,995,041,893,900,756,510,071,202,538,301,217,710,104,203,693,622,458,
646,892,674,832,207,420,629,729,506,116,162,092,525,831,717,124,669,906,081,
489,368,838,578,236,209,451,275,352,957,937,436,048,076,084,612,260,475,411,
956,759,319,674,524,291,601,414,110,917,224,608,394,682,382,366,364,718,078,
301,970,473,251,428,759,768,790,997,590,830,129,535,936,778,509,046,987,648,
312,739,184,416,455,667,126,962,979,557,733,090,342,244,015,768,716,415,237,
276,638,149,763,746,278,706,782,516,638,970,871,745,024,688,163,055,905,468,
741,747,442,319,176,796,332,143,453,439,751,567,481,603,322,486,480,817,914,
546,344,684,931,368,693,628,094,049,704,571,843,078,362,990,045,813,264,530,
774,962,470,754,424,785,946,743,275,104,228,588,044,423,575,714,626,667,723,
467,249,625,078,476,691,099,514,261,693,622,593,523,401,071,294,676,973,230,
209,153,150,958,337,292,064,283,154,768,762,176,404,645,028,791,156,812,716,
856,653,900,273,683,891,026,635,372,502,824,297,849,527,067,214,367,840,472,
868,302,608,446,085,717,961,320,713,003,454,015,959,517,039,404,341,536,381,
396,180,732,955,663,103,916,362,100,048,139,343,709,260,856,880,349,257,862,
561,217,240,406,736,170,930,333,073,865,353,759,016,807,707,362,046,835,462,
280,333,869,133,457,304,110,040,725,542,891,341,481,925,690,382,662,691,619,
509,790,339,726,807,875,677,980,658,951,065,517,754,381,541,163,686,128,261,
201,377,729,804,773,656,596,356,585,311,364,333,753,983,319,878,638,737,659,
505,100,486,947,156,998,499,710,087,376,965,970,443,983,480,258,912,866,007,
427,196,122,236,709,202,445,792,683,219,541,886,694,536,557,317,713,631,769,
438,385,373,074,262,747,832,687,119,950,448,023,669,982,760,954,199,476,355,
095,934,867,624,828,718,990,209,472,969,723,732,159,390,468,307,683,228,993,
077,400,343,301,922,042,593,354,517,828,230,281,996,522,175,957,755,201,692,
171,037,144,932,290,554,386,214,017,664,139,826,809,760,911,156,305,650,318,
858,059,636,786,937,553,713,726,418,336,212,725,571,037,951,079,543,787,574,
935,860,489,989,339,767,993,316,431,808,492,764,441,378,682,071,473,675,592,
283,377,968,225,712,218,179,775,279,751,562,505,081,984,681,170,164,620,774,
284,621,293,962,678,910,847,950,208,550,391,506,756,014,244,276,261,979,619,
427,424,427,723,714,897,101,825,747,671,787,423,067,103,332,314,180,595,267,
492,012,057,882,897,701,626,021,809,239,240,395,833,991,943,831,773,748,836,
954,998,307,515,959,731,906,049,591,120,277,012,829,072,819,960,689,826,292,
405,871,872,418,525,133,133,307,922,874,683,639,490,231,673,554,317,953,803,
487,875,566,896,272,465,833,850,059,466,825,099,740,921,347,595,235,940,095,
637,268,165,968,918,052,972,606,892,583,711,833,145,493,354,619,190,498,107,
528,297,272,499,236,443,921,094,213,955,637,073,478,504,250,690,211,460,821,
552,269,240,870,392,970,171,492,349,250,186,556,316,030,649,458,591,585,902,
648,723,710,507,638,042,916,553,824,222,841,376,459,995,977,388,179,672,318,
688,568,071,747,875,715,352,233,670,822,031,171,138,889,300,383,888,015,331,
987,629,161,230,960,999,111,176,180,739,443,974,174,002,295,325,116,951,529,
135,081,671,108,974,237,027,087,309,868,402,072,392,018,800,893,090,462,106,
594,887,972,420,957,725,367,036,305,211,205,959,251,683,167,854,209,978,309,
803,289,618,465,551,977,364,400,124,610,629,628,431,080,767,773,369,938,234,
560,351,331,395,212,917,268,057,672,804,021,132,811,710,644,217,245,111,850,
691,786,466,695,680,620,236,369,971,891,910,666,987,289,345,775,603,379,003,
757,496,623,224,169,001,922,612,910,163,368,492,501,807,593,251,850,295,836,
779,248,944,611,712,257,405,703,799,952,312,785,855,130,508,935,309,586,943,
250,613,076,858,395,837,316,700,396,493,189,395,364,278,271,732,056,426,040,
222,043,046,721,315,638,045,405,154,266,275,691,061,808,918,730,800,885,664,
730,190,608,234,281,201,616,939,362,665,619,922,384,754,261,659,363,103,700,
864,538,199,548,289,138,125,903,733,745,694,462,139,184,918,953,575,402,212,
834,246,522,605,337,102,334,970,237,171,818,305,224,710,839,748,486,153,925,
756,377,750,847,409,721,278,157,689,288,291,100,683,009,294,213,714,828,047,
235,226,623,635,841,362,027,082,038,999,285,071,161,019,610,070,772,676,159,
789,356,795,025,890,457,755,508,685,766,728,784,536,655,872,594,038,855,900,
303,111,455,167,423,959,074,601,354,928,235,187,961,617,289,968,983,214,733,
633,734,343,915,482,119,476,562,671,993,196,378,182,004,465,054,018,783,022,
696,648,620,325,298,523,486,169,633,305,560,300,593,286,152,621,092,644,850,
259,125,846,314,918,778,151,560,114,032,054,753,609,776,787,509,162,186,023,
948,903,736,607,254,672,388,729,245,930,728,767,513,059,650,253,791,675,175,
121,965,948,274,821,761,124,637,880,226,835,290,294,101,126,545,525,946,366,
324,605,279,001,861,099,833,291,863,871,843,645,367,527,953,336,634,296,549,
293,467,035,302,656,719,366,500,812,900,826,320,391,768,115,352,201,196,101,
114,497,748,487,444,451,638,190,957,967,548,321,576,129,178,801,152,858,153,
501,720,120,766,729,639,360,795,932,497,341,103,162,468,989,823,690,293,855,
706,396,898,875,984,277,053,997,988,529,465,954,354,844,591,111,397,720,294,
787,885,528,798,378,894,742,521,404,633,660,739,568,752,901,844,900,123,181,
912,514,709,431,231,172,684,342,803,708,271,974,183,247,241,981,511,299,514,
786,211,234,169,815,528,962,224,316,033,417,648,246,063,508,083,161,736,299,
185,046,049,538,386,276,422,236,302,742,340,193,931,757,039,874,022,448,567,
507,736,749,338,905,452,885,695,665,959,497,873,756,170,145,177,420,064,771,
021,943,270,011,089,546,727,333,705,179,745,151,712,235,623,646,940,612,381,
403,655,367,341,199,853,370,873,968,198,730,213,043,571,946,830,166,155,863,
239,215,651,345,610,676,982,535,309,242,635,257,774,222,049,641,242,881,556,
182,780,668,172,800,524,453,485,136,296,836,558,476,388,486,725,285,190,258,
802,218,248,007,689,098,109,990,674,282,016,578,931,486,450,859,601,997,136,
787,428,854,731,571,691,807,019,009,210,684,908,024,042,248,348,770,289,749,
088,403,077,265,872,312,081,184,918,529,965,557,212,634,058,112,621,636,157,
005,747,473,790,443,055,315,711,829,527,775,737,200,474,354,555,402,533,641,
755,310,623,793,512,209,502,530,273,698,762,463,746,180,299,783,765,865,057,
341,511,725,940,828,409,300,350,255,337,212,741,707,300,349,071,711,844,272,
434,166,106,940,445,068,972,582,385,473,410,274,530,915,953,922,697,023,224,
536,732,242,115,347,301,188,557,013,144,588,831,040,720,263,270,006,468,501,
849,849,553,248,087,755,233,576,957,682,062,652,005,222,437,136,014,156,374,
627,258,765,796,469,385,401,032,081,331,543,032,381,576,418,824,685,111,970,
963,500,672,889,677,485,707,613,810,389,832,419,538,219,924,561,088,931,162,
261,326,211,571,754,426,681,689,042,548,704,874,809,738,751,559,447,361,499,
763,512,216,596,962,429,853,718,640,197,960,040,465,825,218,794,207,660,867,
076,995,525,591,771,766,053,625,876,449,301,682,833,514,245,653,151,805,449,
686,424,195,285,692,011,089,141,699,153,090,744,729,344,761,878,806,171,151,
998,535,564,165,799,096,524,305,017,576,689,744,714,089,545,499,954,224,923,
064,430,673,519,935,683,420,443,319,538,044,590,921,917,171,078,461,637,529,
380,007,190,427,954,593,828,565,969,242,692,017,892,651,342,117,740,898,134,
674,746,374,384,466,855,096,689,469,852,077,794,937,996,616,240,301,698,967,
025,115,296,257,479,502,784,751,058,173,773,695,739,200,587,758,075,924,078,
433,587,635,668,139,278,633,573,454,154,006,911,537,775,876,406,567,571,038,
662,108,750,545,051,481,296,730,429,832,228,762,937,785,191,484,338,332,980,
201,342,759,157,449,728,264,480,802,391,254,621,179,190,431,845,041,803,824,
143,180,274,174,237,199,519,697,832,927,783,079,708,163,013,105,203,628,691,
718,196,624,760,782,926,722,737,957,107,193,830,954,052,360,376,855,513,378,
777,125,090,396,103,688,021,108,166,987,563,510,820,157,110,256,151,714,073,
173,625,965,276,264,097,382,453,647,840,438,456,509,527,058,615,009,045,139,
945,792,454,964,478,341,201,351,966,435,620,729,919,917,991,651,303,182,087,
863,150,088,027,205,341,706,466,984,365,776,688,959,691,587,200,385,385,433,
710,790,723,663,704,629,707,332,962,885,771,237,244,409,213,559,500,718,701,
330,114,792,947,017,237,441,268,334,380,049,868,854,623,747,979,342,038,058,
689,251,082,800,412,059,640,793,379,293,939,708,284,385,377,414,293,970,241,
623,616,668,215,373,673,415,585,278,424,720,529,996,892,535,101,002,156,917,
844,518,873,946,898,524,748,128,339,504,440,868,365,529,474,500,687,413,849,
731,123,865,643,321,869,442,619,701,792,822,767,549,999,796,782,881,227,298,
801,722,847,010,339,408,052,609,916,317,136,590,341,233,672,572,242,542,047,
437,836,478,465,989,190,256,861,868,091,017,396,829,147,220,672,179,831,855,
147,615,076,442,445,359,740,381,196,960,908,525,111,996,309,866,438,854,990,
018,257,595,757,995,369,374,921,750,770,964,556,083,556,670,675,200,483,587,
075,209,466,431,589,404,422,347,685,290,923,006,891,153,499,397,901,602,347,
554,797,630,594,879,819,721,987,072,206,862,307,707,230,205,833,868,395,788,
592,013,498,597,998,090,220,553,794,398,435,029,467,164,207,913,235,274,162,
422,737,035,445,747,442,272,783,933,800,184,727,234,033,628,101,719,190,097,
303,777,466,722,077,632,972,064,893,209,001,526,426,106,936,425,704,988,313,
244,229,664,868,355,629,724,803,619,971,664,235,169,532,292,121,223,889,132,
903,017,016,672,330,916,798,452,214,255,339,867,584,162,350,594,607,586,371,
079,103,815,502,497,556,450,642,737,035,487,971,704,840,010,485,615,600,342,
215,964,852,962,202,869,282,955,373,665,962,445,619,686,024,668,917,348,860,
663,476,724,070,533,816,854,532,163,639,265,779,478,525,112,910,470,742,266,
301,537,371,968,113,891,612,535,298,525,595,316,436,027,495,171,312,636,701,
493,895,024,518,075,214,234,560,187,524,402,533,853,172,473,420,145,265,586,
342,909,852,483,591,037,810,860,624,544,175,132,730,444,214,575,491,970,702,
385,411,212,525,265,150,337,396,772,548,016,551,497,555,015,768,458,791,389,
486,465,233,881,436,984,081,855,639,945,488,200,682,253,034,318,525,792,386,
482,618,413,637,115,709,151,580,333,166,131,658,802,776,736,692,952,026,071,
128,832,699,900,539,133,126,154,746,180,917,373,022,049,270,380,366,002,694,
422,310,523,764,436,921,024,371,421,936,706,699,149,684,522,288,069,232,927,
649,904,659,521,428,745,771,543,709,139,062,088,801,936,901,106,707,544,235,
446,978,648,681,505,951,510,623,620,185,632,737,826,617,736,113,981,144,642,
456,819,350,840,649,848,247,512,106,330,677,838,894,323,360,399,693,820,046,
127,480,052,939,427,040,733,121,848,577,468,039,646,820,195,002,045,756,363,
649,483,082,644,093,743,901,406,674,386,381,897,312,162,169,109,708,533,453,
474,593,906,406,481,260,911,722,231,969,984,938,111,044,985,408,637,946,752,
258,620,628,670,366,270,367,801,984,279,835,711,089,063,863,200,039,484,577,
747,578,238,246,809,327,799,279,378,409,213,189,129,619,494,452,922,086,214,
640,929,415,376,837,687,002,322,191,580,164,313,593,111,698,783,310,105,922,
866,409,862,743,773,204,426,629,110,715,911,169,096,505,360,328,004,198,186,
478,272,911,441,804,931,691,656,775,844,953,033,614,456,193,644,275,380,728,
898,218,367,308,263,393,325,381,252,950,681,380,778,445,930,035,416,543,182,
212,166,434,283,609,752,446,587,621,565,089,452,868,528,287,974,585,092,079,
087,321,296,458,381,747,658,506,768,892,100,831,049,806,827,479,797,708,705,
984,252,412,185,166,538,195,576,947,726,041,393,600,841,829,915,208,691,711,
874,666,387,613,549,491,863,827,444,002,566,144,297,982,614,049,021,802,553,
052,209,762,000,218,787,825,530,784,721,642,098,036,161,666,319,813,978,317,
967,920,315,138,232,282,067,373,088,836,686,718,178,689,277,056,648,581,850,
145,680,615,817,705,698,310,508,463,270,609,094,745,305,653,112,968,174,880,
049,886,674,931,973,476,067,173,179,214,513,872,811,071,484,643,189,823,625,
129,121,956,518,982,938,087,405,842,597,758,948,008,146,024,474,846,761,045,
209,631,175,515,504,252,033,010,495,386,004,047,233,591,465,627,351,007,479,
940,220,523,862,901,484,513,738,737,081,904,470,697,024,167,136,033,534,695,
164,898,411,643,740,409,292,084,752,143,031,538,110,466,061,340,803,824,395,
022,445,353,672,628,595,072,487,151,814,623,131,844,740,781,329,812,249,396,
747,178,930,489,414,909,643,886,525,641,842,483,843,133,699,658,902,142,768,
139,617,081,586,586,866,885,339,653,995,844,525,193,091,134,082,253,387,293,
315,608,449,720,159,905,262,388,853,783,379,590,244,311,511,370,375,970,043,
539,539,030,874,105,990,357,414,253,028,469,211,211,263,148,363,226,271,720,
770,166,654,900,477,873,068,507,549,114,836,833,023,677,526,800,592,520,490,
559,744,802,251,378,251,443,911,700,023,741,639,714,347,025,406,595,422,113,
467,412,625,681,575,585,414,109,212,958,120,703,977,229,552,207,155,752,302,
201,816,774,442,697,568,671,954,950,961,518,754,207,165,725,654,773,782,044,
332,839,307,963,300,770,707,713,186,069,461,922,513,141,624,867,454,327,133,
803,670,719,820,132,100,690,946,234,258,186,051,742,748,628,503,985,399,894,
902,771,945,786,893,959,246,302,401,386,097,504,592,613,490,628,181,872,134,
515,471,850,666,540,245,910,515,700,145,140,168,860,474,151,672,517,958,317,
678,666,879,374,475,267,776,023,599,741,082,967,046,179,009,822,923,921,418,
019,114,934,785,984,687,419,391,217,676,409,343,308,416,601,034,154,277,309,
656,655,252,264,371,278,673,416,220,857,636,971,182,547,537,261,039,542,786,
122,488,489,614,165,938,289,044,347,947,560,654,283,473,953,460,339,670,912,
781,721,734,108,293,180,159,284,991,009,915,570,216,595,637,762,194,027,165,
697,278,142,358,123,145,043,618,358,772,119,744,038,841,158,408,785,060,665,
943,940,914,499,568,780,613,448,797,039,736,865,129,558,381,334,406,366,180,
972,089,920,413,958,960,630,537,085,052,981,151,482,831,304,629,242,143,656,
661,882,010,435,940,286,167,209,757,392,812,839,500,873,409,250,747,098,905,
249,754,567,215,267,164,167,712,649,564,092,542,244,950,470,253,176,298,824,
362,508,935,537,913,707,353,519,526,449,169,320,789,435,229,504,231,091,789,
830,161,434,895,570,666,750,617,659,675,582,508,398,386,162,845,854,928,525,
582,122,409,789,607,324,594,809,018,202,743,820,072,353,907,472,228,534,077,
909,443,399,908,309,285,366,337,028,398,279,944,582,834,780,085,375,180,932,
391,057,943,971,401,563,450,434,626,905,869,126,175,765,992,090,287,939,000,
827,421,720,768,600,533,638,803,347,942,271,054,908,873,553,921,910,943,735,
416,081,404,688,592,708,195,747,938,443,830,643,203,536,853,975,206,979,561,
774,327,078,491,726,149,384,068,930,159,341,208,315,479,101,052,131,682,689,
646,778,871,272,796,116,845,727,466,837,566,047,962,079,675,085,823,911,501,
929,238,414,215,646,526,440,702,556,376,720,603,589,707,013,585,229,580,144,
651,595,403,497,338,465,029,066,540,116,832,360,907,045,561,721,042,289,329,
222,720,550,981,816,715,157,437,010,839,677,803,204,856,274,970,140,428,577,
330,323,594,113,584,767,092,763,251,346,781,936,299,061,956,183,610,894,820,
561,987,609,685,535,435,389,623,192,011,760,870,588,822,006,140,852,531,409,
072,978,608,113,672,299,162,405,175,905,655,647,578,019,002,266,275,528,849,
010,365,924,715,994,676,279,363,332,635,559,294,648,793,047,884,195,889,352,
947,223,708,982,540,688,442,083,422,173,568,307,468,669,068,346,293,904,610,
104,367,647,755,555,992,083,070,995,155,773,815,765,803,331,472,795,843,987,
891,252,625,772,027,005,030,365,155,441,262,019,370,101,100,177,684,353,482,
016,710,220,952,498,725,731,354,970,554,001,231,407,754,375,545,529,003,292,
591,530,371,145,091,306,547,064,159,331,607,387,156,525,831,694,835,849,388,
960,761,558,229,180,544,891,158,283,487,009,752,695,127,411,435,890,782,702,
900,839,485,347,568,840,576,327,352,670,122,387,724,716,469,778,308,578,157,
935,413,829,244,568,717,030,202,317,788,540,735,804,660,019,986,739,150,156,
191,398,122,052,959,670,435,048,728,249,076,405,942,009,526,502,016,864,328,
315,383,793,444,284,978,193,360,089,383,483,926,225,417,037,162,518,806,204,
722,493,791,326,870,084,887,015,385,879,482,724,916,427,986,559,332,550,916,
765,939,851,765,164,278,249,628,716,844,496,860,753,854,577,467,865,316,829,
128,913,739,418,670,089,762,460,313,317,325,691,619,012,817,526,594,777,788,
643,806,969,094,607,129,685,714,704,910,653,804,625,923,340,706,825,894,760,
237,548,126,726,863,861,383,480,969,185,177,024,474,829,151,862,986,935,877,
266,237,113,291,546,576,662,741,631,588,869,955,643,882,715,858,560,853,406,
758,943,644,678,686,777,626,841,838,973,530,651,578,568,270,555,843,235,643,
041,734,334,555,752,471,142,227,649,386,633,684,601,859,509,692,644,310,147,
124,612,591,029,691,983,536,786,600,304,223,191,638,774,097,018,393,552,311,
187,152,539,132,158,203,211,067,879,600,819,605,879,058,573,913,909,746,565,
016,590,938,589,568,428,666,365,826,186,426,070,680,956,033,371,359,171,623,
874,147,245,788,663,039,124,385,304,340,663,385,015,971,930,803,106,266,027,
229,317,980,515,973,456,917,921,526,842,720,327,208,692,082,329,778,094,748,
183,343,132,071,815,822,340,747,732,209,405,252,988,038,072,437,820,861,071,
212,489,057,995,888,266,097,033,371,513,008,248,187,347,482,610,577,921,357,
933,719,812,063,945,723,673,221,470,972,388,784,371,796,881,320,597,015,606,
643,317,311,372,432,349,064,387,445,487,003,844,262,261,288,121,551,320,099,
912,230,367,266,294,123,555,076,647,259,840,354,785,729,635,427,371,627,438,
206,286,139,846,314,823,183,519,864,990,061,404,888,950,122,542,234,968,426,
753,273,672,342,545,775,027,076,863,670,463,850,752,720,251,826,537,077,157,
884,684,619,219,088,366,060,297,925,661,493,504,771,507,406,512,180,667,083,
884,401,504,573,192,409,182,695,723,871,257,117,087,947,941,294,773,239,905,
146,817,090,804,416,028,634,495,797,793,443,199,626,286,291,406,673,043,246,
260,525,302,188,234,981,687,425,838,620,605,626,111,734,747,634,515,612,239,
061,907,419,361,119,180,730,766,685,018,766,588,912,392,082,667,026,444,618,
915,421,463,223,850,028,941,523,753,689,163,110,972,166,036,149,289,943,659,
334,682,923,791,005,521,807,841,474,201,288,410,197,886,051,998,032,009,808,
884,933,446,103,649,338,630,876,192,412,339,984,944,834,411,120,641,490,198,
049,249,273,897,638,160,830,542,650,700,645,416,799,049,946,928,970,302,903,
008,297,859,040,950,223,149,028,250,945,276,936,906,821,536,198,926,758,605,
516,623,258,854,740,022,161,883,984,897,624,270,747,195,645,005,330,322,631,
991,125,900,569,869,240,933,327,096,331,091,426,896,829,287,440,641,143,189,
511,282,678,030,630,838,993,663,405,188,826,335,164,207,955,017,877,424,123,
150,809,271,941,118,123,168,157,040,037,591,817,096,599,573,483,760,644,735,
393,792,373,367,698,774,674,522,977,197,696,279,720,141,435,267,233,115,060,
590,493,525,385,181,320,815,583,318,080,323,824,027,126,839,592,515,299,533,
945,896,152,450,080,852,091,282,535,101,778,303,619,392,986,527,998,006,688,
654,455,253,757,649,835,354,251,504,026,678,697,367,217,727,312,334,721,132,
498,950,575,164,327,972,769,248,470,576,314,913,489,923,687,798,391,218,686,
456,565,237,068,918,329,808,176,475,214,209,196,699,359,407,497,274,035,984,
662,888,382,134,995,570,737,567,264,627,455,622,293,351,251,346,873,996,125,
297,466,221,392,888,396,659,455,202,591,183,726,979,299,158,668,009,154,614,
034,685,201,281,039,964,664,708,982,206,909,436,295,913,832,846,739,513,975,
129,341,506,549,015,733,820,242,465,110,145,293,544,419,736,904,429,572,774,
023,567,701,336,829,829,390,039,535,071,558,280,421,775,427,088,532,256,307,
534,233,209,521,627,965,373,589,077,848,252,888,804,808,649,090,207,278,409,
561,300,111,425,980,209,967,335,634,475,923,807,329,441,832,547,067,327,241,
581,925,062,504,470,398,454,872,564,978,164,282,340,568,698,084,019,209,534,
703,178,231,923,792,539,927,338,172,808,588,262,573,885,469,919,280,947,526,
811,106,072,108,450,460,417,015,737,154,864,802,464,154,917,584,279,403,643,
964,337,765,295,049,708,179,630,300,845,468,578,584,234,218,419,685,603,483,
837,565,217,351,673,083,679,626,926,667,352,404,283,547,125,966,761,756,600,
476,186,587,097,975,752,259,774,975,394,105,524,855,585,823,240,208,889,304,
242,503,797,123,627,653,734,076,728,435,561,465,127,383,535,437,231,097,041,
751,525,674,955,361,982,130,015,282,850,758,120,768,466,657,119,078,062,341,
467,257,555,160,716,589,559,640,571,636,667,941,872,153,117,544,531,331,770,
407,350,179,387,476,504,022,006,262,629,855,246,755,654,472,628,918,335,244,
009,714,581,865,927,965,865,091,833,513,648,748,870,218,187,395,258,186,598,
580,537,276,058,080,643,231,386,032,853,558,308,673,371,580,742,552,369,441,
034,169,154,910,504,184,718,094,929,205,424,798,623,671,294,661,757,942,985,
513,325,340,591,884,009,998,452,191,154,562,562,872,997,715,510,896,848,614,
342,503,912,588,135,651,675,133,095,027,203,994,481,841,409,160,508,033,782,
478,035,249,618,218,153,019,357,901,819,837,039,586,064,414,642,578,884,152,
156,944,239,339,858,331,440,021,094,367,312,762,796,138,902,331,025,417,842,
535,866,629,134,930,108,204,470,911,188,936,194,702,699,791,414,970,457,456,
348,413,611,006,359,205,544,217,026,666,828,127,179,392,075,238,723,656,652,
142,561,377,362,500,356,509,104,449,158,068,803,766,518,153,714,823,943,200,
023,052,831,572,935,800,654,582,654,506,371,813,241,518,572,823,818,424,894,
322,256,853,446,605,909,132,946,089,637,164,063,113,104,684,228,361,474,768,
202,351,150,536,983,533,900,445,030,714,250,688,998,379,042,252,614,879,628,
601,409,917,841,265,918,024,976,376,129,851,521,119,913,572,871,090,727,286,
814,795,057,273,022,522,056,681,769,680,837,096,063,395,003,869,557,173,386,
683,311,946,623,579,462,343,656,697,401,438,947,247,293,000,654,590,809,876,
764,689,033,074,638,974,828,606,631,642,336,855,210,939,307,221,325,502,374,
302,928,254,941,218,356,156,147,590,883,132,750,886,726,116,555,149,425,266,
596,491,167,582,324,455,371,830,179,010,789,424,455,512,715,765,509,682,152,
620,524,734,388,587,947,087,261,822,468,728,097,272,240,419,973,860,047,692,
737,995,146,988,344,653,214,412,541,478,504,956,272,420,827,596,188,214,785,
997,131,948,160,856,020,254,265,615,387,081,010,012,640,500,964,977,924,113,
957,217,113,555,435,433,639,714,917,419,486,389,899,291,056,453,650,959,039,
820,653,823,681,653,500,171,175,217,237,474,545,851,318,241,842,720,294,151,
346,491,819,618,085,812,361,734,104,307,094,036,837,824,519,649,045,122,157,
786,342,288,071,343,200,630,524,472,568,830,828,475,812,177,080,175,481,659,
733,201,276,782,281,627,183,539,881,550,935,047,650,520,397,266,310,635,227,
744,980,953,451,807,751,781,510,630,447,939,399,295,393,570,680,797,874,809,
665,986,415,738,647,822,270,366,939,630,713,855,545,782,604,473,057,949,911,
955,847,916,732,702,612,058,822,953,597,324,099,914,565,484,928,301,423,242,
385,491,735,683,960,514,508,517,014,428,280,686,094,080,506,574,473,143,007,
559,639,816,108,619,581,092,612,724,916,218,900,722,115,406,211,200,656,873,
543,151,752,118,430,863,317,414,580,748,616,963,196,156,756,844,146,751,389,
671,402,697,478,013,836,105,126,533,081,629,990,080,576,537,679,975,998,231,
264,129,271,559,860,989,751,566,498,157,240,775,535,083,564,371,362,402,394,
061,862,748,654,505,965,915,152,206,379,834,946,365,268,454,853,597,183,693,
270,627,698,033,366,094,249,806,363,524,207,550,335,990,265,720,242,256,232,
174,430,574,670,654,939,187,595,291,594,042,713,023,695,875,245,752,176,431,
552,675,204,233,973,957,125,584,121,213,566,127,452,216,871,706,681,953,513,
433,900,662,263,935,450,048,602,023,178,500,013,353,592,543,378,307,426,308,
858,114,775,495,707,786,102,590,194,196,564,772,080,435,919,469,865,241,753,
732,871,793,268,336,956,300,030,865,267,856,970,409,972,196,788,654,015,485,
726,026,966,364,770,173,073,824,523,724,706,852,670,923,553,594,763,102,348,
638,198,498,190,274,032,016,668,605,804,306,412,553,284,332,132,160,051,430,
940,560,753,938,043,296,120,173,289,590,985,713,791,908,214,246,392,346,626,
517,228,416,872,180,261,379,558,046,606,760,759,897,498,758,089,824,723,654,
932,406,828,598,769,265,479,695,406,845,370,869,155,727,332,431,584,376,514,
979,166,518,854,346,709,723,791,456,701,157,187,666,665,144,047,090,413,184,
616,877,928,317,307,321,416,442,134,176,590,867,197,212,216,519,398,106,712,
002,178,063,788,841,854,528,786,103,441,856,978,361,365,429,586,241,137,442,
409,153,698,860,044,584,322,084,902,171,158,875,813,710,553,757,578,799,909,
408,561,360,745,045,649,281,622,550,398,767,895,950,531,833,420,354,360,706,
255,478,424,640,241,918,284,376,620,970,631,572,431,289,060,069,762,504,147,
409,328,127,924,831,514,590,462,810,239,384,376,000,151,510,846,484,032,846,
811,034,729,912,613,257,550,889,316,953,992,803,800,868,588,656,599,237,010,
545,017,874,360,183,005,650,233,065,189,064,554,895,995,966,771,351,304,773,
616,308,560,281,932,963,688,030,347,382,047,322,826,671,821,045,493,300,813,
477,870,189,499,739,036,039,324,201,959,757,597,242,829,978,624,430,716,718,
693,756,674,181,298,469,520,733,579,620,159,585,659,344,569,653,604,110,720,
371,001,539,032,034,614,509,395,377,930,723,500,754,091,011,286,005,097,283,
232,042,697,125,039,378,098,361,460,896,214,957,805,582,109,576,182,957,809,
315,847,961,914,852,402,527,085,225,150,453,877,427,067,934,728,080,849,447,
785,681,152,938,382,340,453,023,992,524,365,597,969,745,883,155,880,651,793,
544,439,586,700,284,788,258,028,624,640,363,688,424,200,682,961,740,688,042,
324,901,237,551,067,410,510,822,440,495,952,187,458,270,525,577,126,191,116,
374,263,101,176,982,975,517,022,710,703,847,383,560,251,179,708,031,788,252,
971,922,401,908,752,624,116,040,019,333,945,651,293,155,980,884,173,300,336,
824,737,858,066,574,264,451,390,671,195,754,201,280,066,870,259,372,915,180,
774,981,376,576,383,982,242,055,889,281,201,226,018,066,918,559,275,764,128,
232,096,794,696,148,026,180,770,808,781,005,451,454,719,549,546,359,943,103,
050,601,420,493,067,122,379,377,379,067,495,039,996,762,861,842,966,243,038,
331,881,539,249,400,905,539,375,333,422,586,941,767,793,112,874,213,869,254,
824,767,376,347,921,674,572,546,034,949,756,749,390,602,541,541,431,329,085,
586,129,906,814,966,879,890,710,480,018,465,829,383,619,445,311,861,681,294,
087,754,567,821,205,949,812,708,041,371,242,805,041,813,943,712,324,206,211,
789,087,429,332,543,440,105,832,170,387,240,856,530,136,145,098,189,797,385,
412,764,971,800,720,018,568,683,981,845,513,421,088,815,029,641,319,154,174,
979,751,653,712,590,203,399,731,643,454,423,711,257,724,296,146,962,004,772,
991,767,983,285,691,469,361,940,332,029,609,093,722,381,067,898,051,971,879,
092,910,436,449,288,702,084,987,469,619,543,161,105,839,136,258,589,006,113,
196,570,293,449,469,237,637,232,642,564,585,236,302,235,867,926,193,772,031,
622,221,736,024,680,188,116,557,968,253,260,244,084,756,402,283,018,272,782,
613,900,705,757,226,691,794,766,575,666,334,211,536,899,508,451,021,602,387,
756,413,054,865,662,960,610,450,391,239,256,774,297,981,822,158,852,353,377,
335,364,749,160,811,907,653,177,749,344,175,033,688,634,086,894,033,610,333,
413,874,187,771,918,102,296,970,401,028,204,717,182,735,229,330,104,501,503,
964,170,995,975,970,465,429,669,635,678,121,566,639,933,640,518,140,442,888,
728,163,219,908,134,335,437,110,995,384,379,496,796,012,823,093,625,094,121,
013,459,721,129,573,287,605,199,393,614,708,422,169,618,650,271,451,509,965,
784,937,167,540,406,954,652,160,072,882,908,571,898,562,265,922,630,369,290,
509,915,412,554,119,409,601,930,722,329,617,377,514,570,072,518,187,778,517,
372,405,474,422,129,025,431,138,287,381,660,828,407,696,587,223,508,337,157,
576,837,204,483,144,498,313,730,249,803,576,686,614,316,909,271,731,577,554,
827,096,327,442,445,043,610,674,638,301,296,942,253,314,134,051,179,128,116,
284,973,682,385,286,795,578,809,966,422,518,334,859,005,603,557,274,164,942,
410,059,211,519,597,848,154,758,750,568,155,202,084,678,974,703,430,686,206,
510,415,687,863,060,917,632,471,332,589,163,155,618,056,184,085,095,994,243,
141,009,035,386,285,147,310,920,352,381,870,779,753,983,782,990,945,117,119,
187,976,583,628,559,813,141,771,321,410,141,699,166,226,431,605,827,535,658,
781,688,452,591,200,495,125,475,056,219,846,320,984,029,681,150,621,261,075,
532,764,825,799,873,296,740,837,200,658,751,971,170,153,390,905,037,821,182,
205,031,919,994,004,792,788,860,186,450,913,153,440,306,619,316,046,676,086,
535,517,378,342,665,509,895,804,578,276,204,625,927,808,972,231,544,031,375,
884,070,894,107,756,676,475,629,952,173,911,602,498,240,938,605,269,563,994,
239,592,837,288,874,928,000,747,121,858,508,297,356,385,518,677,650,337,116,
006,623,639,950,484,661,050,266,281,641,095,008,051,843,262,542,114,296,545,
006,735,234,586,340,074,434,408,300,023,079,795,135,166,180,866,113,951,425,
129,364,249,505,655,876,433,677,363,385,603,033,758,153,706,027,482,879,427,
562,979,614,445,885,389,430,653,757,439,845,280,080,625,139,422,666,326,063,
579,581,674,120,060,909,628,927,882,097,458,862,339,218,014,276,554,286,353,
310,882,027,672,178,230,038,667,148,413,138,361,117,050,990,471,001,153,065,
227,508,007,460,674,906,584,033,745,094,811,797,815,382,757,019,318,645,845,
638,727,925,206,829,106,809,831,710,561,084,497,432,573,656,481,600,186,186,
990,044,470,255,368,777,304,266,497,117,248,212,684,504,887,918,606,248,153,
032,999,068,831,280,451,482,660,749,231,318,800,793,892,027,443,025,508,752,
264,134,663,611,185,991,114,657,246,351,627,188,708,633,448,804,450,593,207,
134,921,544,914,789,180,317,793,401,857,857,509,566,214,104,516,690,052,978,
618,242,503,486,686,505,576,329,480,991,222,172,951,201,830,025,287,963,920,
620,429,627,450,762,764,314,404,170,177,490,373,217,364,889,706,073,527,843,
690,603,521,612,031,610,744,253,974,959,338,618,632,826,218,420,713,223,476,
165,649,966,525,493,606,194,423,090,182,176,615,985,047,180,896,486,990,706,
831,018,026,277,943,567,361,324,194,615,932,754,784,680,058,917,238,599,581,
085,049,342,517,187,423,710,655,627,967,710,893,277,517,071,327,669,844,409,
469,492,264,908,503,091,222,450,158,137,930,193,870,280,858,055,774,399,175,
229,682,660,287,897,414,743,058,678,654,289,506,156,734,116,443,388,497,974,
870,421,607,275,172,062,652,265,765,639,436,922,354,424,410,553,636,652,141,
211,587,696,744,613,252,219,064,767,594,783,157,923,550,725,246,736,625,374,
021,636,603,389,810,736,797,905,413,301,227,542,381,355,590,527,786,924,045,
419,293,926,174,369,652,591,813,803,366,018,839,355,131,284,614,303,949,533,
835,306,095,126,907,712,364,581,135,549,846,528,151,440,052,544,551,091,065,
021,126,617,553,525,903,634,826,539,924,996,808,784,657,801,906,215,196,510,
200,329,035,589,903,397,858,276,200,775,772,790,938,701,841,366,436,084,567,
154,124,819,670,164,699,199,540,411,616,925,456,973,047,666,124,188,096,530,
510,266,698,148,690,988,129,649,901,154,842,106,679,012,024,647,241,403,266,
543,629,089,591,830,868,890,208,023,731,287,785,711,128,928,759,195,573,600,
113,294,910,654,533,173,366,562,270,886,948,526,070,444,514,454,514,042,100,
950,963,593,377,315,767,776,153,278,796,257,434,691,787,368,126,440,961,710,
522,107,643,075,243,304,544,003,731,565,563,974,771,379,620,170,368,778,999,
956,694,344,965,391,070,990,155,289,466,148,172,865,495,363,447,063,740,647,
478,146,597,610,076,512,404,182,906,965,605,127,416,082,114,142,802,421,243,
232,278,601,296,469,129,061,961,506,892,563,394,929,231,089,328,270,429,650,
360,515,228,693,446,709,794,402,633,466,672,496,766,883,331,106,079,004,015,
988,796,385,371,818,160,642,770,954,099,551,721,813,546,216,950,559,487,786,
067,868,428,474,500,450,541,214,128,599,921,116,115,273,154,312,934,405,485,
976,154,141,233,171,859,352,989,547,016,716,338,331,274,610,348,007,420,565,
923,547,746,070,937,508,449,028,551,534,027,109,342,807,158,386,357,417,307,
481,529,514,262,501,974,315,776,697,328,848,781,923,842,823,997,667,839,041,
886,225,217,968,243,515,556,381,223,010,821,968,679,871,263,224,616,135,017,
342,075,375,736,756,066,638,326,637,893,433,990,785,660,594,672,584,578,747,
250,224,015,964,367,408,101,082,026,810,057,051,184,922,187,580,658,412,739,
402,023,135,328,199,328,409,529,059,413,324,772,214,630,362,660,798,259,623,
296,128,230,538,969,066,817,666,480,361,360,093,630,238,773,163,978,607,690,
782,156,974,281,264,473,786,062,960,781,314,688,002,539,505,378,102,642,747,
888,214,686,351,686,231,365,873,530,993,518,062,284,445,190,393,595,567,865,
966,731,033,141,131,680,161,784,875,750,693,604,805,317,370,570,262,390,199,
473,538,404,843,389,156,027,677,262,982,244,322,991,242,896,383,765,284,723,
241,248,753,455,354,474,083,491,168,262,689,717,458,732,461,253,843,271,784,
148,207,351,733,165,266,374,160,283,124,185,056,962,952,780,023,946,399,004,
384,348,832,336,881,258,731,934,436,139,069,815,283,849,159,488,558,002,931,
639,962,781,219,915,098,866,875,671,333,381,793,629,584,602,498,489,044,137,
335,048,858,304,002,769,297,407,090,575,005,975,637,777,779,346,383,218,547,
312,953,498,847,060,101,746,205,008,680,526,841,667,246,163,272,291,821,681,
048,446,118,392,610,803,576,537,017,555,414,221,072,426,491,576,814,076,515,
272,520,016,990,215,094,738,952,254,189,628,454,826,728,176,827,581,729,440,
112,782,894,331,915,979,932,564,456,186,476,139,182,675,757,536,258,877,077,
527,731,212,342,876,700,996,056,462,075,769,244,420,669,354,581,116,552,201,
276,508,313,871,806,587,908,874,163,049,750,864,091,072,133,029,629,201,989,
990,211,442,518,275,670,265,266,541,820,716,396,503,471,675,638,458,993,767,
755,712,122,014,865,613,053,972,502,566,202,776,752,640,074,197,432,006,773,
567,380,678,963,743,835,446,549,203,198,742,250,974,049,075,916,318,570,306,
114,837,172,097,261,268,174,563,767,139,098,247,956,933,799,790,674,281,854,
904,572,092,423,896,196,828,977,092,232,550,379,495,679,946,482,258,061,559,
746,843,261,070,953,382,806,777,549,860,368,743,179,083,240,031,925,437,803,
124,959,058,938,549,490,330,646,280,734,877,417,024,628,612,140,237,584,543,
583,478,966,198,668,012,170,982,622,597,437,105,208,233,562,291,216,584,898,
817,156,284,945,046,703,188,512,653,395,149,425,096,510,101,307,030,101,880,
327,096,992,347,746,250,524,112,051,426,551,468,702,065,408,507,073,498,276,
226,645,442,831,125,542,541,459,359,455,212,003,749,184,540,627,227,031,669,
484,442,973,050,320,016,937,188,359,766,497,879,666,016,116,626,362,738,712,
464,540,374,984,782,090,022,144,563,548,998,592,162,473,212,156,454,586,634,
864,868,224,924,491,215,530,491,623,250,941,315,300,362,634,407,166,079,237,
668,100,725,660,592,999,157,592,950,173,171,637,384,886,303,651,654,301,977,
780,981,888,020,292,931,357,060,139,107,330,806,792,636,736,957,148,182,741,
621,654,398,611,027,936,127,058,079,967,026,203,986,825,766,978,825,034,043,
805,131,237,305,373,869,425,294,086,653,010,322,801,487,532,592,140,881,092,
083,446,227,340,134,006,835,091,529,140,831,072,471,626,669,600,143,591,533,
276,815,070,997,466,849,810,402,871,476,545,139,565,397,657,667,789,475,209,
947,883,371,527,311,251,706,248,128,492,762,576,673,129,969,745,016,726,542,
579,947,347,618,621,185,368,512,240,771,351,833,634,099,077,514,182,895,691,
362,924,876,062,745,175,682,311,610,163,032,223,341,260,648,282,814,239,605,
126,691,081,163,270,229,407,458,621,239,365,594,486,003,225,167,459,350,919,
857,610,232,769,258,744,600,646,999,532,742,360,819,878,463,276,484,311,271,
681,793,025,632,870,258,006,821,888,559,663,546,137,166,683,336,741,449,747,
562,118,006,169,970,411,469,416,572,254,093,707,373,821,952,038,927,524,183,
035,358,569,971,814,487,049,624,954,839,045,692,399,791,692,008,846,101,095,
757,575,115,872,578,056,445,378,721,181,592,347,704,937,991,620,361,205,324,
580,443,318,503,899,912,876,028,770,318,668,222,991,914,019,575,050,530,658,
653,238,160,769,150,363,245,644,293,102,323,201,411,757,648,932,340,556,988,
992,994,321,676,601,815,712,160,183,902,275,933,039,416,971,551,488,709,243,
895,499,222,740,204,889,769,657,003,275,336,662,167,484,296,380,272,260,224,
449,035,048,413,011,303,885,815,429,177,172,974,653,433,353,554,239,702,104,
492,554,803,575,760,950,676,067,852,658,503,115,421,272,544,478,708,895,322,
409,155,535,402,619,720,949,198,992,318,246,286,288,880,275,978,971,257,824,
920,013,264,659,874,398,398,855,865,660,582,358,655,234,060,292,060,732,571,
797,506,550,839,430,017,628,314,357,524,083,296,434,146,085,164,444,958,540,
194,491,311,950,183,501,398,082,043,662,573,304,721,531,437,697,234,047,360,
108,779,932,852,463,390,521,536,288,178,425,288,625,607,525,757,406,645,887,
841,377,421,420,153,004,242,858,545,482,087,033,616,106,830,093,639,919,702,
160,837,326,394,587,679,533,583,998,082,561,242,771,925,317,129,003,545,492,
913,259,416,528,738,209,048,397,363,030,295,358,501,412,768,321,277,341,795,
196,722,191,285,699,758,818,717,594,312,128,974,140,993,432,318,993,631,088,
537,335,781,378,759,036,539,893,864,941,535,544,786,897,018,306,784,751,776,
880,836,253,047,094,490,794,639,194,394,222,422,435,378,932,529,631,010,826,
430,056,238,417,623,678,552,144,792,053,769,169,818,726,566,054,929,005,663,
793,229,238,597,252,971,950,112,707,681,649,754,420,854,500,487,758,138,843,
779,573,993,275,995,858,852,835,473,510,855,781,656,735,404,863,481,686,998,
038,675,449,361,287,236,758,121,138,354,415,526,310,983,215,398,365,457,697,
865,108,086,361,616,363,665,310,738,334,486,127,793,885,271,594,984,319,106,
895,490,751,161,862,779,323,876,568,937,748,629,979,469,507,883,706,133,092,
796,532,872,596,293,684,008,911,157,960,199,088,528,741,408,396,655,731,567,
729,046,040,965,846,056,138,269,934,467,925,113,927,939,579,870,362,007,067,
976,575,258,923,254,720,896,744,891,283,597,639,480,809,846,661,430,671,963,
982,205,412,848,736,749,679,602,914,198,996,621,828,436,210,123,311,060,312,
483,728,061,485,479,205,924,169,834,853,202,687,560,442,698,720,663,351,164,
713,075,167,223,324,440,943,990,619,003,086,017,993,659,101,238,698,403,729,
411,978,783,461,493,474,176,320,013,992,393,422,352,118,860,977,918,392,369,
822,332,832,789,470,014,412,049,850,958,620,628,216,847,879,446,310,162,883,
475,530,468,902,648,200,451,265,707,967,971,717,635,694,656,429,951,714,632,
906,282,189,566,649,061,367,520,793,768,405,371,671,521,702,891,442,281,633,
253,201,700,865,928,443,565,121,752,059,728,408,377,107,012,752,345,855,160,
179,130,334,789,035,412,983,524,710,641,242,071,088,463,331,153,710,701,107,
619,030,626,923,539,071,171,986,313,980,620,157,668,926,296,694,129,979,564,
410,442,961,532,088,322,925,799,633,245,965,446,256,867,934,452,900,211,466,
799,529,890,647,166,894,342,560,331,843,557,187,951,763,726,440,268,096,068,
289,953,883,360,977,263,337,430,358,433,463,586,837,278,265,282,023,700,973,
651,218,525,964,686,225,200,397,960,738,865,291,890,196,277,916,850,862,503,
693,549,307,142,431,349,593,813,264,721,198,896,146,982,170,626,772,130,168,
002,375,072,560,023,234,514,800,668,841,586,440,640,038,123,362,129,190,955,
534,484,737,462,202,013,044,758,911,342,635,722,211,609,794,391,282,220,625,
454,007,903,577,268,894,036,976,653,403,819,348,549,325,275,180,428,108,297,
018,848,674,954,756,295,245,887,532,217,452,841,333,615,968,041,213,417,631,
764,103,967,260,329,597,315,609,396,350,886,172,075,904,188,794,349,194,884,
792,445,968,899,854,214,330,613,605,979,500,519,669,952,714,249,040,522,848,
396,537,015,309,212,878,235,640,109,764,520,884,194,862,238,382,410,726,625,
057,663,072,665,773,471,006,341,416,613,512,083,366,239,281,758,628,645,277,
889,609,626,325,129,098,648,916,974,712,068,091,184,937,374,410,330,079,917,
906,638,318,453,967,130,773,374,835,851,125,918,723,230,558,882,064,100,432,
475,190,503,086,247,004,426,835,796,700,691,612,621,652,132,729,952,992,750,
783,646,496,119,930,081,877,541,820,053,332,481,492,983,953,267,449,946,693,
730,272,029,806,308,617,828,098,916,989,913,036,960,454,341,598,288,992,161,
307,321,642,117,050,136,053,396,593,931,722,785,422,619,704,612,939,791,474,
384,657,958,154,317,181,237,466,420,640,760,687,461,261,412,988,591,351,046,
798,282,994,066,966,682,971,192,737,801,908,688,704,248,526,472,495,634,584,
151,326,010,994,696,016,720,769,017,180,685,835,232,110,057,388,920,211,823,
288,878,188,585,506,093,386,629,472,887,317,388,845,516,839,944,199,390,731,
212,552,414,853,328,280,574,559,252,986,262,139,237,410,652,359,930,005,736,
814,650,859,618,720,846,855,005,496,020,065,723,476,435,050,728,607,317,156,
956,538,240,065,483,078,094,283,737,175,546,743,778,524,202,714,013,631,963,
936,359,413,422,370,016,121,122,575,705,633,317,543,240,429,487,408,025,841,
518,554,406,316,494,814,905,138,272,404,184,731,478,981,425,158,629,841,906,
310,035,022,239,691,055,888,959,299,397,826,116,340,930,625,254,764,237,289,
849,488,231,671,749,524,892,227,888,170,757,058,811,864,951,451,234,607,074,
399,967,640,523,529,588,881,272,401,639,608,577,784,056,661,282,065,427,485,
899,037,330,806,971,184,915,561,375,348,178,843,337,001,810,447,397,459,804,
415,093,879,678,423,712,999,415,740,409,224,622,591,232,111,322,134,780,040,
358,345,205,813,232,219,292,527,566,854,960,334,045,513,444,160,225,093,928,
083,045,702,178,030,697,798,457,952,127,975,325,878,389,241,643,434,639,498,
034,058,749,217,129,674,861,992,832,219,500,239,051,786,993,005,579,341,443,
427,470,315,832,620,729,356,438,251,074,838,094,214,652,414,022,274,302,943,
619,635,234,457,842,293,444,943,842,269,804,345,634,144,682,288,370,126,009,
448,228,448,216,407,368,806,668,649,366,837,552,655,597,163,230,114,204,754,
625,048,699,033,448,840,051,074,756,320,823,165,864,840,828,589,066,098,895,
629,129,692,127,380,854,136,330,376,462,348,163,878,613,666,937,699,497,116,
750,829,380,483,385,015,202,531,439,005,974,000,391,469,757,111,621,909,539,
760,691,433,894,167,495,944,136,766,297,645,399,327,272,778,462,653,842,408,
120,865,311,764,993,677,240,383,100,104,880,456,986,119,404,969,603,143,889,
189,509,173,378,839,937,697,093,162,005,804,869,941,200,631,239,157,031,003,
867,461,711,588,255,489,807,232,850,109,597,668,084,733,220,257,261,063,332,
409,400,275,221,772,906,084,982,285,672,369,276,009,073,095,619,794,078,932,
840,656,059,304,366,230,111,945,996,016,604,137,109,182,086,050,797,606,988,
798,611,194,224,806,017,739,127,016,728,868,109,415,773,683,490,067,890,394,
070,705,422,421,972,498,742,753,249,672,643,042,982,776,828,174,415,254,689,
406,967,610,379,955,484,305,128,118,628,483,278,409,536,296,587,852,360,661,
038,793,166,600,164,962,770,934,025,260,142,389,458,277,136,657,704,522,572,
363,178,835,730,747,783,638,021,639,767,213,991,488,960,719,027,816,758,209,
900,410,806,450,215,264,837,161,832,802,325,485,470,329,823,140,739,616,398,
139,699,583,632,197,851,384,767,120,846,069,252,883,859,091,294,997,937,147,
424,171,102,503,583,451,318,791,214,603,012,331,665,016,450,147,484,273,781,
543,479,204,204,069,337,695,773,147,234,015,475,404,576,422,946,608,679,489,
200,922,125,060,054,962,492,748,680,697,351,741,709,102,639,073,024,541,315,
511,026,116,381,907,802,854,508,337,746,999,112,557,458,316,849,056,339,581,
855,341,833,245,970,278,527,454,435,307,819,831,173,391,412,790,990,109,604,
875,991,804,239,382,467,218,429,621,993,996,503,687,788,437,403,447,554,667,
057,150,979,527,481,634,558,660,615,430,610,396,807,908,753,141,945,868,325,
083,459,215,972,045,485,344,452,831,082,532,256,816,108,247,499,111,827,607,
561,303,690,124,281,528,600,706,046,577,558,042,208,333,342,146,742,952,162,
415,026,926,033,796,143,919,272,240,034,769,578,797,655,711,131,312,779,948,
605,414,887,447,040,693,117,606,582,500,144,774,313,006,307,840,782,415,606,
601,014,885,607,256,276,196,175,841,630,500,321,934,272,075,269,163,267,845,
645,610,748,060,057,072,474,632,016,045,024,391,832,483,039,752,832,533,737,
728,812,014,611,213,984,383,687,017,709,224,845,271,401,258,009,713,752,287,
943,226,048,065,005,884,493,562,001,192,220,796,884,407,299,850,798,703,584,
496,937,477,448,336,197,621,666,455,364,108,615,962,328,289,050,411,822,704,
769,480,698,801,969,695,376,187,104,156,431,042,113,757,889,065,263,437,211,
429,040,980,540,136,513,224,748,304,078,032,712,633,088,902,038,099,508,619,
360,764,179,118,218,991,731,647,706,165,578,271,712,424,098,616,748,718,482,
022,239,616,827,828,736,797,424,327,415,571,133,124,187,926,078,697,872,490,
854,918,660,209,907,836,367,728,219,169,337,118,498,432,354,749,321,755,848,
221,471,491,133,902,799,051,347,073,892,179,532,172,397,033,167,000,954,852,
900,069,905,510,065,376,858,096,434,748,829,981,394,518,301,821,919,812,746,
025,098,009,751,902,730,264,491,074,288,757,732,673,236,154,788,804,255,377,
112,106,063,834,500,929,157,519,193,410,718,741,690,875,742,246,247,901,821,
524,672,492,220,504,864,637,250,303,303,320,094,710,643,546,436,532,995,292,
843,876,471,484,328,064,263,390,688,384,023,587,832,703,589,995,988,115,972,
740,270,028,868,229,784,997,136,615,384,006,782,660,212,947,657,108,783,898,
617,307,001,354,141,047,509,489,614,791,939,665,720,329,233,767,150,712,247,
902,393,023,191,014,640,354,284,060,885,942,881,295,925,574,750,988,206,034,
608,828,345,218,927,727,894,643,325,262,203,605,184,421,300,996,528,154,353,
831,389,817,180,622,637,715,077,835,991,924,996,905,114,790,592,537,537,851,
888,996,510,694,754,409,861,995,389,299,086,254,106,870,323,365,060,609,575,
289,878,542,293,891,239,451,790,205,793,646,015,289,730,633,854,092,749,031,
952,765,972,430,191,445,014,778,999,099,148,074,894,876,120,246,022,528,336,
260,313,291,114,000,952,427,774,840,397,298,657,327,218,584,677,740,276,193,
527,816,344,028,849,047,222,994,728,992,077,321,159,318,163,567,856,470,954,
386,473,871,797,669,871,324,867,705,552,910,858,331,349,072,346,079,165,094,
225,874,524,341,886,216,214,535,166,803,697,411,852,147,803,573,049,272,191,
650,557,597,127,331,844,718,187,800,892,015,637,987,673,812,234,175,737,755,
028,242,254,005,633,153,324,563,762,093,664,635,102,679,074,664,452,517,146,
299,101,813,880,185,117,030,707,797,213,446,473,553,938,017,550,652,447,148,
176,100,572,318,718,125,391,662,528,520,144,278,767,994,784,839,246,845,864,
098,676,451,810,181,103,463,321,309,165,755,108,379,846,661,170,502,199,978,
940,935,418,862,955,433,918,080,335,404,819,815,308,634,971,919,740,186,257,
603,461,552,574,901,627,880,121,188,255,326,151,113,226,606,360,293,404,104,
102,617,620,125,766,450,417,444,543,879,212,629,080,574,681,184,325,225,887,
053,749,337,824,682,964,341,004,174,882,680,153,630,266,326,022,222,573,169,
901,063,724,266,280,868,583,324,984,679,291,428,994,015,373,609,606,358,469,
998,681,529,051,363,759,778,718,852,033,971,633,944,560,282,341,234,243,397,
038,136,620,354,135,862,633,989,305,156,777,561,298,414,248,756,441,263,622,
985,305,857,918,712,654,089,709,922,606,945,549,740,456,354,261,366,569,627,
504,393,668,901,976,662,542,609,458,859,519,319,516,856,947,780,500,676,247,
546,690,057,478,303,358,576,952,378,151,715,159,257,432,206,407,349,294,427,
946,326,870,216,216,362,037,500,050,186,490,926,017,173,531,027,479,919,368,
652,758,922,462,919,631,868,009,949,530,451,166,029,596,844,272,508,753,431,
024,601,608,526,628,281,094,825,477,091,215,093,798,321,530,637,962,022,522,
824,478,719,566,060,626,848,153,597,664,273,745,133,061,596,558,336,368,332,
671,701,914,031,949,704,848,884,380,451,269,807,267,698,820,873,100,338,174,
962,697,512,118,828,671,126,549,049,595,720,698,600,170,276,560,629,813,312,
353,800,619,089,327,250,618,506,924,389,654,878,648,422,061,236,968,651,383,
813,334,612,019,116,797,736,480,460,684,366,672,982,508,673,344,524,173,040,
532,167,605,339,982,440,873,350,204,465,654,777,892,002,874,358,002,494,451,
371,529,277,147,838,586,493,740,890,294,666,827,078,557,888,217,007,064,306,
770,200,945,699,021,880,072,356,538,335,168,779,507,838,046,098,007,604,652,
006,919,613,112,792,183,157,841,737,437,177,786,618,400,190,516,330,494,152,
290,166,993,193,638,379,976,732,907,594,010,326,942,887,142,623,940,876,679,
406,012,332,724,763,235,974,057,286,771,530,549,062,334,318,244,356,575,969,
018,325,506,545,819,711,684,257,952,374,002,098,927,749,740,694,590,055,615,
564,781,163,243,741,428,290,292,396,431,472,019,568,257,838,332,922,223,797,
317,329,860,867,787,267,008,930,870,729,041,786,795,168,974,944,197,323,918,
322,063,040,737,352,211,994,963,160,688,123,798,569,716,883,543,476,755,564,
096,366,235,959,574,593,946,732,291,240,058,428,712,669,148,095,504,791,984,
938,601,449,183,860,387,667,950,692,256,337,053,261,318,753,910,866,336,205,
060,964,300,441,261,443,969,095,682,132,699,405,463,446,447,048,377,296,009,
294,098,724,299,504,520,137,036,744,279,977,136,548,026,103,394,380,347,950,
723,717,218,676,386,029,950,625,795,802,420,401,978,110,112,582,373,524,706,
718,369,972,916,155,090,490,076,121,829,198,922,198,967,430,424,123,481,158,
262,920,076,764,397,541,492,976,758,922,394,073,457,170,078,538,556,209,328,
229,281,837,104,112,850,094,283,421,499,756,311,616,399,970,766,742,084,031,
715,013,452,720,157,974,127,206,966,071,530,982,784,473,659,421,462,150,648,
442,155,579,569,076,272,351,283,370,993,076,505,112,656,368,057,380,114,222,
989,873,531,748,401,928,252,081,243,738,724,511,948,581,774,222,080,074,459,
769,702,192,601,869,962,884,041,748,968,415,058,148,499,599,171,335,059,969,
672,785,500,672,276,035,791,136,962,371,381,304,790,051,412,790,869,049,569,
640,869,262,202,357,001,881,429,506,736,805,649,655,372,045,226,135,734,354,
143,787,621,477,216,090,056,199,511,977,315,182,721,573,447,504,574,534,091,
434,031,444,373,402,584,509,984,059,041,185,278,551,769,414,357,739,977,600,
885,912,824,970,702,416,033,111,730,721,763,930,376,884,283,976,374,764,058,
564,271,520,731,056,175,385,217,225,435,170,917,488,102,940,119,985,113,922,
066,795,393,364,407,414,329,736,953,675,383,845,856,962,277,158,175,408,758,
736,952,805,641,803,714,786,423,082,173,943,242,123,617,997,099,315,078,836,
101,405,921,578,809,745,765,050,617,954,779,903,832,986,547,300,334,564,195,
239,313,371,353,287,046,513,622,926,294,947,045,030,859,342,003,041,942,064,
247,494,551,750,616,656,803,161,955,168,383,579,709,441,313,113,455,726,095,
375,525,412,666,004,684,011,276,341,817,940,177,648,689,155,292,846,709,758,
363,547,985,583,838,460,403,927,149,208,245,719,404,903,172,609,503,502,107,
706,529,540,119,002,560,110,623,879,403,473,708,177,462,054,737,395,689,574,
303,172,244,961,439,126,030,354,215,124,920,605,890,372,250,635,792,927,376,
336,889,152,366,247,257,081,851,707,887,651,324,565,821,003,508,511,021,895,
221,634,401,168,441,598,360,156,470,925,553,219,207,310,976,957,908,430,699,
690,988,981,177,525,442,176,627,552,008,097,626,849,240,799,959,353,311,910,
219,585,903,834,327,207,810,058,245,868,787,981,944,235,275,341,659,614,067,
571,574,201,463,782,097,205,590,283,744,334,407,598,600,060,467,106,456,519,
037,800,828,258,147,362,257,151,247,151,140,164,792,924,265,869,032,457,098,
310,817,042,956,598,283,017,006,864,405,669,592,719,202,121,074,840,058,516,
034,054,837,154,358,019,739,308,561,398,120,082,735,551,730,487,695,846,653,
904,091,870,720,917,655,251,172,169,109,322,849,183,796,046,355,511,093,399,
382,197,358,224,759,715,007,761,386,387,261,698,060,790,498,078,361,225,328,
518,908,814,996,781,103,427,740,147,824,490,505,739,848,990,051,886,633,807,
085,749,316,647,314,604,149,225,687,946,906,696,065,997,605,434,337,653,197,
989,630,354,431,299,776,575,009,693,312,919,273,373,827,992,527,581,826,979,
928,395,526,400,255,588,743,743,380,987,290,316,734,481,632,109,301,818,735,
149,445,232,248,234,290,289,073,050,253,645,187,400,135,776,576,282,353,125,
308,300,357,605,125,396,766,747,069,908,752,103,534,822,834,265,415,585,473,
092,064,025,380,896,486,212,598,575,538,139,291,077,284,102,472,934,568,720,
010,285,096,923,369,609,535,501,534,659,239,020,887,647,646,617,948,800,493,
041,110,250,582,730,717,683,116,957,736,997,475,153,251,502,214,897,968,484,
563,520,914,929,527,723,040,218,402,460,934,052,872,910,635,853,914,345,055,
346,864,727,049,954,313,853,527,280,097,136,615,202,079,312,415,270,486,575,
364,961,927,454,614,457,965,354,895,810,154,707,355,195,702,150,399,740,899,
754,624,875,918,749,646,027,878,758,701,885,763,514,595,463,603,760,238,893,
156,128,651,503,224,096,555,172,418,222,624,958,755,176,352,423,058,171,904,
564,351,675,130,353,127,602,059,235,935,959,946,213,676,342,431,434,567,585,
422,567,165,355,513,124,415,795,245,455,304,261,617,348,064,444,247,545,946,
227,585,571,212,350,251,780,665,267,672,715,935,711,061,693,350,822,879,918,
697,878,923,767,979,920,309,708,509,597,094,695,950,505,579,044,025,079,708,
880,758,289,366,531,825,144,939,373,087,022,087,648,762,376,132,850,915,962,
468,431,869,093,575,478,255,497,192,025,395,958,351,316,188,524,290,558,635,
504,162,323,276,500,145,410,635,307,242,763,608,339,111,389,610,908,035,125,
671,585,346,767,213,202,102,892,844,228,355,359,612,104,279,281,948,476,040,
019,665,939,281,584,567,395,780,689,262,930,493,592,872,875,531,457,067,431,
642,975,633,548,219,655,147,437,125,233,676,826,797,629,910,942,814,982,050,
935,127,766,241,294,651,721,955,100,792,175,124,615,896,417,634,401,603,792,
737,376,135,988,878,995,834,834,591,146,529,949,343,769,222,721,702,582,077,
652,020,428,686,635,802,406,906,277,452,516,691,612,244,316,327,873,270,225,
626,785,243,121,876,991,027,349,171,005,767,408,416,251,397,249,871,631,725,
684,725,537,010,189,324,078,434,543,028,080,390,928,218,593,431,282,810,120,
623,466,263,750,604,989,964,242,005,599,176,173,857,935,211,025,712,881,246,
937,348,560,943,466,125,337,290,133,056,660,918,380,180,272,743,814,478,553,
408,949,666,900,733,870,817,502,917,524,400,748,121,065,152,397,840,318,167,
298,790,760,761,795,038,679,956,599,056,588,615,763,623,008,493,233,602,089,
942,875,524,846,630,236,801,325,884,692,876,736,938,848,514,374,119,846,758,
443,034,496,608,567,795,429,576,092,033,022,274,615,230,406,272,313,537,367,
131,562,158,671,810,053,771,853,633,341,183,533,523,628,504,179,219,405,918,
044,815,200,359,537,629,506,340,948,411,186,418,449,494,700,841,238,428,460,
816,681,934,918,065,153,046,519,390,304,709,536,397,760,219,153,516,917,349,
537,591,291,780,239,730,183,523,314,333,965,151,110,884,588,509,020,582,816,
476,482,658,984,587,446,460,673,663,799,998,626,216,483,338,634,355,949,896,
288,554,502,325,841,483,649,780,930,921,329,194,855,435,498,996,205,687,775,
365,036,390,776,845,306,149,320,628,275,690,243,296,737,583,221,108,606,417,
742,579,700,080,315,419,819,055,340,180,690,418,824,305,349,363,796,047,054,
735,573,818,040,621,083,937,547,999,889,236,703,100,386,964,771,866,246,733,
471,476,846,448,362,932,220,806,878,889,809,298,859,260,333,471,907,367,316,
955,138,093,850,133,770,668,154,990,440,107,364,679,565,534,444,073,940,313,
889,925,380,797,462,565,154,808,274,796,932,414,473,484,580,271,253,041,740,
108,428,591,741,853,836,619,914,114,080,953,761,415,314,212,074,503,499,403,
236,632,784,206,124,855,451,169,635,127,319,546,679,756,942,502,885,126,332,
930,822,709,277,657,657,114,595,163,715,165,427,176,831,057,955,208,157,182,
498,514,043,582,535,964,280,427,494,157,331,233,024,869,791,094,194,193,536,
061,021,374,367,785,976,275,480,822,411,285,981,130,950,924,252,535,305,193,
511,031,322,088,069,572,480,042,496,813,108,974,848,500,558,334,293,617,554,
558,969,668,671,022,249,833,893,867,422,355,717,106,653,651,452,677,851,082,
110,851,490,016,452,225,795,958,131,052,390,181,431,499,088,389,759,587,961,
572,720,801,597,910,002,871,251,765,539,647,144,477,721,466,659,595,680,468,
877,638,544,113,390,834,125,924,476,473,516,407,992,209,015,511,786,366,486,
367,180,123,758,341,154,071,531,078,079,982,684,525,922,030,048,214,260,964,
541,078,294,292,584,416,741,318,236,966,894,128,057,948,933,461,025,862,966,
008,488,476,302,180,520,943,668,764,268,864,618,027,992,836,612,520,181,642,
964,873,668,865,602,053,140,580,537,160,584,774,598,237,453,407,711,505,119,
518,250,185,864,006,943,076,791,093,360,726,160,678,772,115,941,383,198,940,
679,385,188,929,341,931,686,630,207,774,911,336,940,767,694,873,447,307,057,
084,017,308,466,514,609,642,422,770,043,924,100,954,741,648,789,632,338,935,
348,913,938,744,880,105,203,771,655,885,050,970,535,820,690,956,551,213,415,
188,211,177,998,588,265,289,981,616,333,271,663,507,383,799,228,906,959,872,
851,899,261,779,147,054,784,940,690,946,866,531,254,631,095,312,745,639,149,
324,553,743,611,332,525,422,829,144,758,886,468,215,061,191,286,288,389,930,
718,498,249,636,855,001,799,992,072,843,287,649,692,141,568,730,362,513,111,
304,466,344,314,123,967,960,949,520,025,718,151,382,841,533,396,476,179,852,
489,668,924,431,315,146,487,891,268,655,471,200,324,003,225,527,178,514,779,
142,997,464,522,000,434,703,038,106,601,652,242,256,227,923,243,516,565,521,
752,155,717,082,600,361,939,203,779,659,430,356,683,364,005,278,619,682,385,
334,235,024,197,717,259,240,277,150,649,682,213,948,994,157,358,580,842,051,
174,865,696,568,031,496,506,061,404,978,321,926,195,090,904,509,752,380,060,
444,474,550,951,854,447,608,120,855,053,145,300,812,842,337,508,252,622,269,
519,760,835,798,412,574,793,588,547,777,105,131,680,139,012,762,198,265,154,
711,284,714,473,528,678,064,714,087,504,202,874,121,648,288,875,809,461,898,
855,714,354,641,185,422,898,448,269,574,497,119,214,412,082,559,741,615,651,
110,256,160,243,995,007,109,895,497,361,803,474,774,503,991,396,528,519,313,
527,778,129,408,083,243,098,562,507,137,577,033,992,848,203,795,510,802,813,
647,458,837,206,113,881,852,879,306,929,977,718,259,228,805,501,012,406,838,
644,999,783,069,578,170,486,154,575,021,909,256,560,884,513,648,443,596,243,
350,573,601,503,270,344,617,423,216,804,937,200,310,315,103,808,285,488,485,
802,548,761,542,124,429,133,089,433,437,797,973,472,942,628,328,371,989,875,
662,198,198,805,148,800,056,956,623,598,949,481,136,082,407,963,859,071,601,
806,141,975,040,276,743,875,875,221,196,445,805,215,681,533,876,599,121,524,
047,837,326,436,798,424,259,236,173,843,468,222,436,063,448,339,092,031,521,
466,273,030,841,609,992,090,084,633,892,991,645,777,049,531,556,372,099,548,
555,818,504,109,015,010,272,792,119,351,518,303,885,372,448,709,238,428,297,
472,136,985,956,057,766,203,843,356,295,088,574,753,374,353,193,063,810,253,
618,888,347,166,339,445,320,328,507,874,873,206,619,565,196,686,294,464,136,
478,267,453,679,457,967,615,457,324,528,695,514,325,975,750,677,997,711,908,
615,839,967,313,834,219,031,469,383,319,692,809,667,160,991,495,759,542,307,
024,909,355,600,857,605,112,779,348,048,394,668,770,188,328,979,901,940,544,
224,825,152,065,018,002,799,760,040,413,740,320,896,665,488,878,373,732,237,
179,792,276,587,171,991,252,663,239,780,728,210,598,187,103,905,357,840,492,
225,097,813,680,210,265,760,830,635,658,643,810,704,331,722,984,541,407,365,
137,165,965,950,566,864,245,885,533,520,769,009,036,142,580,738,682,780,232,
961,994,443,121,754,047,225,287,706,033,621,048,488,519,227,703,850,659,463,
988,771,378,902,285,146,848,832,947,268,878,291,613,302,991,159,560,334,705,
714,988,834,977,954,485,705,865,833,271,100,823,030,230,020,058,962,496,153,
934,359,662,104,068,345,865,103,465,994,971,537,449,856,047,186,471,062,741,
523,058,566,193,876,170,703,804,793,247,477,103,343,402,107,842,277,604,307,
283,421,317,262,115,604,711,801,379,957,553,467,994,903,024,167,185,843,641,
181,293,518,456,271,260,646,432,674,938,573,831,039,290,384,168,080,141,195,
742,250,890,564,049,290,786,204,345,775,426,398,938,896,458,889,571,853,027,
900,149,817,949,703,756,394,527,448,775,389,787,994,693,360,225,431,887,734,
730,111,141,050,262,114,358,213,671,064,025,317,920,861,512,801,643,047,536,
360,479,343,726,513,559,496,948,794,220,539,224,490,310,090,313,624,262,807,
015,683,250,384,830,167,964,942,203,363,526,082,769,291,778,738,585,577,659,
465,227,129,146,414,821,226,396,239,431,076,983,082,988,837,539,954,627,987,
235,368,995,551,985,535,893,013,030,431,828,600,785,142,667,341,379,146,836,
608,319,577,273,884,605,119,084,199,560,478,884,750,085,922,481,654,958,025,
248,382,993,396,580,994,666,889,378,472,787,165,028,039,507,345,080,465,810,
603,343,770,005,090,115,469,542,801,042,060,671,119,257,750,882,992,245,162,
291,659,776,440,174,375,862,750,160,824,260,650,701,548,037,362,319,498,525,
868,809,190,733,043,639,233,510,880,537,054,770,361,806,122,664,809,640,088,
918,666,766,240,676,983,967,126,607,870,142,736,501,040,564,655,480,297,217,
028,081,261,249,920,155,156,499,248,801,204,381,561,707,588,670,343,037,103,
512,299,406,997,219,725,192,870,439,099,058,937,337,717,981,457,905,413,693,
967,980,911,164,482,512,308,322,918,530,032,136,180,462,495,638,532,712,981,
358,987,155,577,109,595,496,381,410,957,769,197,552,065,357,467,331,753,839,
277,222,512,783,448,598,820,836,513,118,699,276,454,869,259,717,523,371,718,
727,347,516,412,971,265,139,876,801,421,772,098,252,923,761,380,545,840,285,
092,149,306,643,634,255,233,476,251,977,230,130,756,062,334,212,081,641,319,
903,293,186,565,272,226,040,003,591,598,659,507,346,271,191,449,052,310,249,
345,611,410,683,382,135,007,748,135,049,238,184,725,465,211,904,569,358,697,
063,551,072,230,739,804,398,144,214,030,761,522,515,414,640,070,313,360,032,
095,434,873,942,710,135,968,045,733,854,313,313,470,785,236,749,162,678,770,
403,319,277,265,405,287,959,889,245,164,892,386,048,811,228,683,102,467,323,
084,323,326,036,839,843,009,054,927,198,095,901,032,186,292,964,492,506,411,
607,188,330,638,844,721,491,465,844,249,565,953,524,037,820,087,614,765,739,
084,722,556,199,571,494,608,587,604,136,190,939,916,609,028,781,784,848,825,
949,101,322,955,411,155,072,622,972,077,241,985,404,699,265,245,317,872,268,
236,855,964,778,682,065,866,079,000,904,659,157,508,476,575,325,881,330,187,
186,008,631,699,778,552,968,052,177,006,553,829,218,325,023,229,319,808,945,
241,402,592,524,998,164,297,449,288,662,163,268,702,691,615,868,190,230,495,
249,509,339,577,451,201,427,785,639,237,895,461,604,834,148,887,022,569,249,
854,331,826,462,673,571,329,477,348,627,435,346,192,077,242,048,874,232,486,
541,170,175,885,427,896,701,352,994,900,600,044,928,419,811,264,016,638,884,
645,713,115,978,259,237,550,104,291,091,027,585,346,762,443,281,825,859,981,
266,949,704,052,912,975,642,650,068,582,743,970,526,192,426,181,843,342,994,
143,346,861,474,554,793,831,941,206,799,130,257,644,158,825,343,958,563,774,
949,159,120,335,112,903,886,415,665,628,028,630,693,526,295,702,797,021,683,
009,053,562,720,673,676,119,488,116,509,352,404,853,306,955,333,487,073,263,
894,213,392,085,666,402,403,062,641,446,249,216,137,797,914,988,063,700,490,
564,642,629,363,418,954,498,897,855,329,952,170,212,886,207,273,492,380,196,
130,590,530,004,782,041,354,620,727,239,612,532,485,502,043,590,676,313,981,
629,036,085,505,702,662,232,018,651,177,191,981,194,097,743,000,216,439,516,
697,414,965,685,408,654,466,747,602,271,337,006,865,840,871,320,138,953,383,
986,927,802,830,630,263,734,512,843,607,302,069,646,547,738,397,563,566,725,
566,904,046,183,457,741,298,090,082,554,871,396,966,542,505,452,360,610,212,
892,323,016,188,731,814,504,455,541,982,441,515,474,734,136,761,343,974,841,
935,803,241,055,099,506,738,139,044,383,919,430,528,003,447,299,960,167,209,
877,708,439,217,873,437,621,408,652,979,002,948,852,682,417,483,778,063,796,
607,045,473,059,349,220,788,675,211,208,222,110,275,989,987,929,242,169,761,
203,530,489,576,724,369,611,570,137,063,479,306,277,503,557,489,833,799,381,
889,758,833,956,224,885,590,543,646,632,623,677,072,859,100,220,906,433,013,
412,633,838,717,130,503,605,228,990,106,560,254,832,462,795,374,675,622,904,
039,464,024,394,170,181,169,971,842,175,273,883,058,114,671,427,080,248,947,
491,227,114,210,338,973,965,606,618,342,533,981,264,714,865,681,462,880,675,
749,526,188,348,107,316,006,645,165,990,893,256,155,269,944,720,227,621,509,
091,590,649,008,433,608,220,504,454,772,611,260,732,952,437,481,917,404,742,
176,269,392,970,478,077,567,129,109,448,822,312,473,411,072,698,515,669,169,
059,368,741,941,299,317,633,725,876,975,193,542,771,523,050,037,628,137,949,
662,543,268,875,081,028,518,465,656,770,364,101,455,129,272,746,886,867,026,
454,992,858,480,316,749,387,755,452,735,212,297,493,843,110,002,098,305,060,
398,114,195,894,440,085,865,096,545,102,559,050,559,849,385,978,961,005,743,
946,303,883,833,786,501,339,747,960,065,418,822,307,805,905,059,625,949,924,
843,360,952,617,189,260,587,013,007,264,904,084,117,229,708,005,397,328,894,
366,988,818,147,927,218,181,994,143,354,507,233,095,678,266,428,428,994,349,
078,257,561,876,121,932,860,837,255,806,168,890,606,621,910,591,317,727,904,
592,930,565,542,958,314,391,874,215,289,772,208,910,046,052,131,473,860,824,
182,375,541,270,387,089,640,119,305,665,845,637,842,097,000,179,683,326,905,
850,005,741,185,411,264,030,743,383,702,219,462,644,294,083,291,891,549,745,
215,794,879,632,417,463,051,190,908,963,740,369,179,069,293,145,470,002,385,
685,423,987,669,150,849,498,570,431,016,599,350,380,546,819,750,163,954,516,
740,219,573,595,173,868,806,449,173,972,019,969,596,520,686,642,803,220,771,
243,923,364,035,096,795,454,615,642,895,932,926,847,669,502,994,165,201,363,
018,976,115,659,718,778,328,564,615,207,446,574,662,510,591,142,999,294,291,
217,202,623,973,284,389,783,694,791,051,126,852,799,525,312,854,510,739,216,
972,519,242,117,556,639,468,927,452,912,488,663,245,039,260,978,333,712,900,
740,488,583,343,953,819,814,035,745,601,753,101,675,428,777,050,559,948,046,
306,362,921,285,379,670,013,022,415,142,942,278,635,806,079,875,012,362,661,
225,820,950,479,337,126,408,228,528,937,042,487,304,778,953,555,327,649,607,
985,104,504,239,636,596,851,726,594,215,487,054,882,529,510,522,920,790,332,
087,676,807,545,724,196,112,742,634,242,417,457,248,308,816,404,080,861,793,
009,752,736,147,320,558,248,456,885,694,440,129,458,944,143,745,682,414,119,
515,051,060,003,925,629,362,029,946,232,535,260,576,154,762,545,923,749,040,
540,513,349,029,145,715,034,182,740,298,606,927,943,681,797,410,898,421,880,
588,469,199,973,455,125,183,751,849,314,550,740,790,073,346,016,601,515,624,
308,026,836,285,778,993,895,760,544,009,974,195,275,240,074,781,869,520,251,
084,790,211,132,167,305,396,909,990,654,395,162,761,780,211,827,587,203,177,
156,290,109,670,961,526,400,856,038,634,503,440,992,899,966,512,192,660,110,
029,183,342,986,486,997,539,065,441,926,390,819,747,429,750,449,112,919,045,
060,687,930,577,914,038,670,098,785,890,538,085,396,491,917,376,680,486,577,
138,873,930,176,950,726,105,331,012,889,097,726,477,411,284,556,654,764,698,
392,816,159,295,126,935,186,435,098,661,667,431,139,770,021,886,840,380,815,
049,324,890,821,564,433,632,201,865,880,033,158,449,304,809,459,090,355,528,
213,217,743,157,266,167,684,789,697,267,884,872,879,194,085,028,980,130,455,
845,315,915,170,295,969,542,408,951,439,751,902,699,360,325,917,284,129,851,
356,133,706,495,788,050,500,649,790,482,917,489,667,351,402,199,592,726,204,
308,150,345,851,216,697,639,167,315,083,802,651,316,138,442,281,424,415,309,
977,975,565,381,311,226,189,805,466,056,091,997,026,561,474,862,692,610,007,
786,320,512,414,119,719,096,363,482,731,655,151,795,314,645,409,538,401,513,
604,944,286,783,395,754,043,486,314,076,393,871,988,696,773,969,231,901,915,
928,253,368,306,195,200,779,648,904,756,309,193,988,188,427,215,641,044,832,
652,406,164,669,157,039,562,510,448,076,849,040,354,757,715,223,019,623,968,
639,636,031,987,519,470,746,349,772,671,790,848,247,600,134,574,857,779,599,
208,336,609,728,452,901,513,102,210,635,218,963,154,128,569,113,478,688,090,
169,626,913,025,234,027,428,574,552,477,870,966,461,485,508,150,527,400,026,
673,997,021,772,243,494,028,121,464,658,192,586,310,718,174,522,971,279,677,
828,663,130,670,435,761,112,838,507,184,441,761,937,958,314,712,908,441,215,
099,337,071,926,191,989,401,220,520,899,691,221,335,883,893,755,322,282,207,
578,425,031,258,939,466,872,295,244,268,836,970,595,722,170,276,918,738,426,
540,943,472,231,499,685,466,351,696,685,083,653,125,165,422,269,898,121,734,
028,254,098,652,299,800,626,413,300,662,204,598,318,193,697,834,793,879,062,
470,228,807,188,682,236,388,805,946,400,525,759,310,009,750,776,162,446,305,
775,297,934,677,149,877,958,592,493,498,229,287,681,997,151,465,632,059,156,
418,545,013,426,747,668,900,483,501,897,854,256,885,549,215,205,538,636,609,
346,636,237,038,092,051,585,840,577,170,769,842,542,208,943,075,727,268,953,
600,127,891,919,246,709,691,977,910,697,780,359,269,285,640,768,312,579,331,
895,908,036,167,062,156,651,239,967,922,490,993,787,414,071,213,917,558,917,
719,805,507,443,432,563,961,241,937,610,962,020,383,001,523,895,072,938,545,
290,012,724,771,278,707,145,568,386,134,753,291,675,283,221,624,074,975,529,
053,301,594,668,616,232,255,439,032,119,087,763,382,739,155,870,376,348,938,
211,843,941,310,707,743,845,812,500,431,445,918,038,293,728,699,679,660,532,
062,359,609,419,931,519,033,521,279,895,421,388,405,683,830,131,888,754,134,
499,515,767,812,623,682,783,984,759,878,320,126,373,557,702,005,976,617,906,
850,424,649,322,450,699,483,790,765,328,706,631,579,355,159,840,244,206,358,
355,771,289,148,553,514,716,422,436,710,612,605,490,781,412,062,973,137,128,
400,719,811,889,989,016,835,671,343,519,116,656,978,509,869,920,108,560,836,
290,045,216,665,834,892,392,148,191,094,760,018,716,755,305,382,216,648,672,
006,272,256,881,740,384,436,528,196,179,502,014,931,964,811,337,357,861,354,
961,457,363,448,197,440,941,443,905,315,697,968,458,885,494,247,960,417,097,
857,574,522,006,680,071,160,939,360,340,774,188,800,859,663,678,638,347,220,
890,893,941,727,714,433,541,657,478,825,465,125,862,432,028,475,901,168,768,
013,297,111,144,155,625,527,301,153,191,204,152,117,119,119,195,157,946,178,
965,550,844,000,637,676,236,055,712,187,725,845,728,582,281,436,167,762,342,
944,242,021,924,590,203,770,310,712,103,122,067,073,371,439,191,798,492,525,
177,103,417,675,042,046,782,250,722,323,946,064,967,104,678,086,918,721,061,
874,692,948,355,889,522,520,141,448,695,295,009,051,808,412,157,726,583,438,
133,643,742,655,271,173,247,371,847,231,690,579,018,984,674,984,128,139,335,
353,898,376,201,034,438,656,372,215,009,561,958,162,804,022,894,179,106,821,
650,959,024,178,236,736,948,310,680,604,095,893,157,234,307,744,450,237,564,
020,517,453,028,311,045,345,866,821,422,793,377,184,211,129,093,468,560,470,
512,794,974,679,564,148,079,279,373,817,948,748,511,165,145,416,132,684,547,
951,195,388,120,742,796,202,343,131,218,454,002,882,962,309,772,297,140,180,
746,023,056,237,541,434,606,252,296,865,952,577,573,118,957,114,568,904,892,
635,902,450,944,825,021,703,962,572,559,540,755,960,506,181,484,547,645,969,
420,472,963,735,426,019,335,142,078,486,749,196,812,117,493,216,486,000,294,
618,132,704,921,967,009,454,133,826,182,784,411,921,022,356,862,670,386,380,
860,716,850,900,860,365,048,147,140,916,531,757,123,199,275,406,671,951,441,
623,879,286,178,447,761,331,932,170,638,103,522,830,047,890,484,018,540,690,
800,074,428,024,653,010,143,997,264,033,188,604,274,782,314,691,427,432,721,
943,204,012,507,245,879,244,789,896,118,710,383,929,471,700,390,672,054,399,
427,615,461,387,260,033,215,963,004,010,311,551,324,015,539,712,482,090,417,
203,876,627,555,744,135,635,104,184,234,007,499,953,293,062,213,593,736,247,
015,386,793,079,208,492,688,312,639,359,350,023,382,880,223,163,570,843,931,
180,831,081,716,328,305,929,392,250,954,374,844,930,027,941,909,204,917,704,
007,883,122,683,476,592,737,862,602,942,704,467,134,010,999,338,501,161,740,
792,509,599,299,984,751,139,298,698,679,134,612,700,104,588,651,817,310,036,
570,056,564,647,209,162,875,882,879,445,962,001,482,373,738,191,722,681,612,
673,760,754,496,675,959,347,525,527,106,646,584,100,373,435,121,835,988,466,
758,135,098,360,585,094,695,189,606,919,657,081,745,321,481,119,236,539,363,
220,508,512,232,310,480,554,659,392,268,126,735,030,951,898,500,075,161,092,
289,346,730,867,812,132,703,799,521,246,205,022,005,570,797,209,629,321,965,
993,970,046,228,033,365,625,466,471,957,667,992,372,730,669,005,551,237,220,
576,905,460,051,684,895,405,723,746,480,632,550,726,687,844,145,550,692,698,
531,648,642,370,327,269,420,847,900,957,773,895,328,561,489,451,424,851,279,
669,426,913,408,456,969,005,996,163,296,876,284,857,506,523,276,715,306,816,
575,073,895,909,160,821,044,579,853,168,838,602,947,961,939,819,363,021,940,
156,670,076,399,519,685,985,218,350,065,542,627,314,365,229,414,363,583,373,
938,493,540,529,280,755,036,365,329,908,374,093,337,092,303,365,314,842,464,
051,999,432,703,095,788,391,774,026,493,543,260,458,661,979,747,280,845,735,
725,133,504,232,068,574,485,112,522,472,625,846,104,357,827,691,745,635,590,
291,989,595,765,613,428,409,566,350,537,566,093,800,737,477,269,502,183,895,
815,666,470,617,208,008,833,585,733,300,958,951,468,112,911,184,334,310,756,
324,826,595,049,696,215,599,949,376,164,058,894,873,352,644,447,945,299,333,
882,397,371,134,415,273,618,586,312,734,997,465,404,057,502,910,241,859,320,
127,000,196,810,161,891,408,028,138,148,118,658,144,271,550,620,698,946,335,
516,017,309,019,739,501,826,100,127,090,988,353,393,423,295,687,970,925,002,
835,865,548,051,330,074,023,530,308,024,962,077,958,348,384,553,048,164,300,
867,555,586,446,320,099,658,792,624,820,531,814,840,220,247,770,128,515,770,
688,098,811,654,594,222,856,117,090,430,814,735,086,672,223,512,414,940,614,
932,560,059,007,078,210,128,531,977,362,144,961,659,234,733,233,915,128,904,
615,959,717,937,681,291,171,364,386,596,905,469,632,341,639,859,847,997,185,
510,427,576,986,050,778,856,294,862,157,554,573,174,204,434,113,483,034,182,
068,689,869,755,514,855,670,553,558,188,090,616,610,522,936,718,221,620,370,
713,393,713,201,635,425,010,177,014,963,629,036,730,256,417,452,943,044,178,
165,207,659,900,576,339,219,420,345,469,574,868,476,987,962,952,502,080,984,
781,802,914,704,480,506,131,961,141,835,909,902,942,205,607,119,202,846,333,
392,076,822,524,832,761,617,258,465,048,802,007,841,908,552,711,481,230,648,
425,985,083,661,680,781,839,535,373,757,503,393,204,691,289,426,101,191,018,
196,682,542,120,247,165,551,240,397,025,385,854,569,429,533,027,743,465,460,
360,059,923,102,033,397,906,881,903,986,967,891,002,112,340,922,424,634,809,
505,547,335,928,813,036,767,385,057,093,398,193,070,299,651,124,628,471,285,
987,380,260,034,913,899,674,276,609,016,463,054,102,862,234,632,236,438,557,
064,169,879,133,416,261,186,716,063,866,397,464,328,102,362,877,325,922,792,
599,377,821,015,041,404,654,393,972,165,405,692,272,093,652,341,449,878,238,
701,997,969,653,154,453,147,498,640,975,242,838,887,827,362,830,851,577,092,
970,990,327,572,503,221,100,033,412,796,614,241,560,104,502,582,408,359,791,
292,851,770,653,563,490,604,969,803,212,566,159,503,026,296,130,363,698,651,
126,942,579,833,224,182,405,016,887,896,663,234,313,063,359,099,004,055,613,
581,992,883,641,916,057,167,906,385,437,671,094,223,178,573,718,682,627,398,
523,473,329,277,927,414,814,720,030,236,929,978,122,075,730,148,810,570,246,
476,484,415,363,412,158,425,476,301,272,918,429,389,974,582,218,224,465,965,
777,646,973,644,359,267,043,636,579,385,759,250,508,213,395,994,722,539,358,
389,534,535,047,510,098,038,733,653,670,352,990,839,002,776,313,623,853,456,
139,024,895,803,723,220,102,116,168,613,535,019,880,618,416,290,563,090,751,
158,212,913,512,636,700,184,129,783,844,496,769,625,314,276,462,333,876,415,
014,846,774,228,054,131,955,769,457,793,592,000,185,268,562,021,044,956,732,
011,383,932,274,523,612,987,564,474,218,878,547,722,403,687,566,553,973,269,
724,425,856,508,000,880,694,803,398,861,069,192,317,361,129,107,562,308,982,
770,429,159,545,103,034,828,604,504,415,093,024,985,480,568,950,206,585,372,
935,956,883,980,324,443,932,667,376,450,880,691,779,108,250,415,904,820,088,
109,966,116,801,659,069,070,728,587,540,821,305,949,972,443,008,655,378,704,
729,192,856,240,226,558,716,105,660,026,366,480,180,535,355,230,058,110,537,
471,776,353,874,475,296,018,382,790,065,024,139,836,479,792,122,213,294,055,
187,480,610,806,369,455,607,833,804,261,691,001,891,647,725,299,258,134,595,
804,294,731,447,258,650,668,156,397,041,976,482,471,028,794,898,545,695,048,
553,470,359,742,611,658,695,545,730,504,348,987,324,215,004,295,392,987,193,
927,631,222,024,209,980,462,173,794,884,707,513,396,976,756,165,027,698,296,
062,478,767,540,639,104,872,289,578,767,934,521,373,513,077,101,901,730,895,
718,392,408,016,902,994,202,301,471,932,155,591,570,702,454,627,844,718,512,
191,338,867,960,518,512,545,622,667,531,509,536,806,996,043,996,990,394,623,
111,859,437,640,295,727,191,728,691,625,020,751,130,400,929,570,224,599,592,
334,875,873,374,438,153,267,314,649,067,389,492,049,545,449,025,126,481,425,
828,990,895,234,507,601,986,412,869,635,665,340,226,695,693,177,731,768,173,
934,822,337,034,263,947,264,695,500,834,976,405,593,033,585,843,429,154,424,
828,268,251,720,367,889,482,814,516,731,476,829,620,989,930,954,732,686,844,
881,216,684,522,320,330,511,686,218,124,328,601,798,027,096,551,385,287,858,
714,029,524,371,592,818,305,435,953,657,115,697,155,401,176,847,606,323,402,
898,732,196,562,121,180,265,028,691,965,664,922,724,721,066,044,481,792,706,
049,151,481,326,072,229,117,607,853,829,898,679,333,453,560,214,431,592,127,
605,590,749,662,477,786,531,786,974,586,278,534,932,993,532,300,782,000,381,
811,302,111,229,753,411,780,165,696,459,642,066,417,879,592,619,735,900,222,
433,901,125,449,020,681,751,245,403,209,337,469,178,993,526,059,342,101,960,
908,303,043,033,377,251,762,420,245,251,724,608,733,870,784,012,553,703,999,
053,120,485,790,878,004,373,969,363,144,459,184,376,221,973,042,536,783,376,
212,195,941,219,405,350,322,980,502,809,085,859,725,909,326,549,730,141,186,
904,003,984,104,208,540,446,978,842,236,484,955,670,854,561,808,132,439,193,
408,154,547,293,234,290,063,347,093,818,149,606,348,264,232,945,342,623,820,
377,331,359,355,254,679,412,104,125,639,938,677,646,200,925,366,884,258,866,
712,119,419,214,651,691,469,165,480,919,259,244,598,051,973,342,754,048,879,
640,989,320,683,722,477,303,788,389,986,168,682,993,591,461,110,725,388,468,
943,958,993,758,643,140,344,011,265,422,913,793,904,531,637,330,752,994,372,
314,775,116,619,203,498,175,221,652,974,442,368,152,740,347,451,008,468,409,
587,343,324,394,161,859,034,109,482,192,714,977,603,442,380,594,249,440,719,
400,436,387,611,957,484,652,123,711,614,225,016,289,163,419,197,437,717,720,
039,107,576,479,415,449,622,939,888,510,456,223,662,435,718,740,145,427,943,
176,086,967,875,696,145,064,572,730,361,654,016,619,317,384,649,676,448,008,
986,847,788,199,375,791,630,008,362,198,573,121,997,936,096,563,760,439,020,
196,818,813,365,211,000,355,128,993,843,314,670,709,610,350,789,007,588,803,
052,529,618,193,009,924,593,899,892,533,899,155,888,451,892,887,298,892,305,
158,138,908,529,081,598,245,128,205,931,618,627,347,506,776,877,887,618,049,
502,205,557,118,175,056,490,844,293,992,919,677,707,221,159,083,202,169,799,
809,139,033,520,645,411,074,297,147,961,015,801,840,999,835,571,985,098,752,
875,101,666,904,715,518,063,502,564,543,030,766,437,569,093,562,722,168,258,
641,896,708,222,994,835,175,452,947,275,773,020,348,392,789,676,936,228,092,
090,264,587,412,368,538,702,310,878,592,694,884,579,281,433,864,954,740,269,
228,885,267,491,114,314,636,980,612,005,218,979,275,663,658,801,421,624,314,
073,151,696,707,141,148,601,737,736,871,518,217,811,568,903,662,911,536,428,
740,595,857,502,480,623,611,592,609,705,662,379,824,110,700,899,313,799,261,
632,686,876,142,244,071,943,728,678,170,597,201,390,420,644,062,233,054,165,
037,745,589,578,248,513,780,283,439,745,297,172,488,227,803,381,389,269,304,
125,248,644,640,177,993,332,946,976,689,399,564,215,451,942,425,659,051,272,
166,431,952,127,039,071,029,210,014,023,108,724,568,215,048,535,067,658,787,
524,887,908,892,130,817,871,192,224,099,403,275,051,559,412,297,070,080,661,
878,545,099,874,334,000,645,790,970,851,399,354,459,247,305,917,600,627,377,
871,214,739,464,765,296,535,757,890,982,050,615,116,354,244,950,417,332,498,
775,949,131,816,696,098,020,022,184,628,048,629,843,789,586,983,307,972,932,
180,381,623,139,056,392,351,687,185,310,773,324,641,759,574,075,227,150,434,
391,084,585,665,080,961,964,234,200,886,294,972,715,387,975,732,536,639,581,
824,835,169,399,378,542,532,266,704,759,391,595,419,667,765,672,524,216,080,
613,877,133,347,389,524,439,294,949,723,865,639,038,098,065,573,003,357,597,
709,043,413,920,841,694,652,513,722,979,702,912,227,074,510,279,245,871,136,
034,727,087,809,900,363,859,178,651,219,149,437,281,887,277,833,069,113,750,
807,919,571,039,327,930,160,777,678,445,552,234,662,035,071,065,831,435,791,
763,246,591,092,098,272,757,684,658,145,166,811,867,997,761,852,541,464,086,
475,520,354,207,576,905,385,236,020,738,930,409,810,849,925,210,488,622,536,
431,847,948,602,488,381,470,005,890,749,049,260,132,646,302,645,195,543,702,
737,957,230,206,931,214,965,233,869,426,263,675,911,443,737,710,173,942,548,
843,183,906,613,125,154,806,216,667,462,981,098,463,695,129,962,685,824,281,
025,552,137,249,811,562,848,167,628,476,112,225,154,021,908,898,574,000,159,
102,853,970,566,293,038,729,158,007,945,852,015,919,120,943,945,069,693,919,
590,170,223,472,361,416,714,823,835,149,616,602,595,608,200,344,926,001,775,
095,531,619,681,482,347,369,102,233,719,314,847,817,640,409,836,425,002,239,
019,252,619,383,487,835,963,277,795,429,932,425,413,620,602,073,322,017,276,
176,522,309,702,447,993,306,300,625,284,342,497,552,267,014,921,552,024,164,
714,837,721,198,347,598,414,052,220,811,258,595,156,618,917,428,162,628,552,
131,455,567,171,818,943,892,024,376,823,138,206,773,801,520,916,262,943,700,
126,894,630,075,755,120,070,739,355,532,993,785,529,029,303,694,098,897,562,
530,962,385,826,917,594,321,353,623,164,104,286,143,380,800,683,581,448,454,
271,123,568,497,529,192,556,404,096,008,619,467,812,252,913,243,583,700,854,
367,378,628,207,564,677,844,265,338,280,700,195,443,049,900,833,186,143,537,
407,507,879,247,143,116,571,732,878,769,270,966,674,664,725,715,232,630,529,
036,283,545,056,245,968,188,357,707,722,474,526,173,555,340,351,006,351,885,
855,633,948,077,079,490,622,196,616,350,930,349,538,518,925,987,986,935,213,
031,641,780,810,480,483,209,452,793,576,405,033,683,927,787,669,273,409,474,
439,113,784,760,391,267,845,947,434,116,673,871,123,978,292,183,360,902,005,
672,140,053,559,077,269,371,799,769,790,849,581,329,170,507,705,332,262,176,
037,026,156,305,954,991,383,096,804,676,342,254,490,289,047,646,477,434,025,
064,047,347,304,601,905,276,408,020,350,995,020,288,096,305,724,104,009,785,
085,804,510,771,101,427,586,713,218,531,212,345,288,136,813,281,618,255,735,
284,670,205,947,260,732,759,932,560,909,760,355,918,019,611,159,766,896,711,
321,825,996,311,773,437,830,856,092,269,715,226,634,974,668,902,675,065,689,
548,471,606,205,396,330,540,049,311,681,127,774,122,622,718,423,399,649,140,
206,871,409,565,666,582,567,532,409,918,366,864,614,693,546,414,331,256,940,
749,077,377,357,762,521,625,398,740,494,028,060,464,395,485,177,782,948,674,
806,126,392,680,585,219,802,714,691,667,456,050,735,435,003,421,419,878,268,
331,521,032,402,139,020,723,665,291,954,054,713,109,535,654,228,089,097,594,
379,995,332,135,403,286,524,321,700,831,156,780,432,760,539,921,990,064,402,
346,019,476,364,788,364,592,190,679,747,696,205,198,618,564,293,321,478,991,
566,734,734,593,024,026,468,050,999,027,981,717,165,232,698,488,759,463,729,
007,087,698,180,305,173,190,809,639,377,414,441,425,510,079,108,941,555,008,
894,704,618,967,697,502,569,025,670,473,781,059,739,509,632,886,596,810,089,
214,340,716,435,146,029,716,311,409,278,280,248,644,294,141,686,508,313,495,
578,628,241,221,362,928,387,010,366,688,563,344,887,871,185,513,177,683,260,
910,477,096,763,382,009,773,354,067,718,753,759,293,249,407,211,886,771,571,
812,666,739,207,115,574,906,035,048,107,277,763,751,817,733,306,471,474,205,
270,752,636,387,410,325,265,197,265,689,953,749,248,705,157,529,597,043,455,
059,708,696,737,499,236,407,839,887,380,521,299,122,272,147,545,461,595,789,
131,091,820,196,833,909,500,323,855,307,154,838,765,870,944,380,799,074,194,
258,466,342,476,521,060,641,984,131,386,757,147,135,325,992,033,583,327,455,
707,892,768,489,965,354,508,786,698,352,234,426,825,650,585,662,548,275,945,
522,748,952,053,555,988,703,077,169,993,234,443,826,943,788,890,706,801,344,
882,217,040,456,822,274,528,527,407,189,630,728,612,963,281,225,978,972,697,
519,189,601,792,834,727,927,205,429,994,929,754,335,177,245,759,899,624,646,
161,824,941,306,264,746,787,290,877,017,349,556,626,358,376,534,072,860,453,
238,124,529,640,785,249,527,103,917,885,559,721,339,063,424,410,745,048,085,
111,825,964,993,260,843,847,045,141,160,613,768,805,271,697,666,287,080,936,
610,755,705,478,253,757,874,493,408,849,839,588,535,408,751,533,951,804,227,
183,274,676,808,489,961,318,263,832,139,451,039,223,557,963,013,959,587,497,
889,943,650,100,625,394,732,750,018,441,410,663,439,365,533,927,190,677,590,
048,117,257,081,481,598,098,385,777,399,465,054,707,439,144,151,614,323,277,
540,148,384,150,504,179,980,874,806,091,347,043,807,254,653,790,434,249,660,
054,078,101,043,800,277,851,701,276,229,534,695,941,382,387,537,635,379,540,
071,531,118,887,950,896,233,129,417,242,083,648,531,815,103,717,068,545,207,
311,767,935,382,443,937,093,890,010,369,658,367,952,069,202,782,932,882,878,
970,373,465,362,842,280,934,774,457,709,719,732,947,571,186,970,950,661,040,
827,128,595,810,080,652,305,445,345,362,820,480,493,492,074,456,476,750,111,
875,258,922,299,160,134,825,700,947,108,772,838,458,546,095,465,159,940,528,
292,779,545,949,976,879,406,355,328,765,358,070,337,008,359,330,295,466,844,
006,983,716,015,949,932,095,100,094,221,929,931,803,379,298,905,332,609,610,
740,739,606,973,549,238,361,103,595,094,321,046,269,122,467,751,585,910,318,
793,564,182,561,964,232,560,713,357,015,126,671,349,137,364,923,361,386,911,
779,827,461,144,516,339,862,397,706,312,173,269,078,616,944,027,754,346,425,
284,617,498,183,712,262,525,798,319,110,316,685,654,156,645,664,776,328,137,
388,993,077,962,339,775,890,254,004,129,349,156,562,094,844,499,842,036,071,
755,439,358,490,113,215,192,093,381,575,041,316,117,675,832,406,797,321,812,
450,117,147,351,554,089,279,017,397,175,926,425,199,482,412,049,852,729,896,
169,700,746,517,711,373,542,321,253,689,091,515,210,873,331,686,706,756,889,
820,953,052,875,809,855,742,625,942,583,954,661,861,226,563,893,593,119,105,
037,719,949,635,049,118,032,088,018,875,310,030,325,276,806,509,623,631,151,
245,315,998,657,130,839,649,977,050,368,584,716,162,675,350,535,266,334,799,
434,524,211,348,981,154,394,683,984,566,180,113,695,170,278,880,183,628,516,
001,137,134,790,393,710,730,676,097,784,776,848,848,205,861,059,761,414,816,
279,501,224,072,330,140,805,781,490,830,259,126,081,083,945,986,659,479,478,
575,584,582,759,618,986,202,525,005,466,259,641,037,268,794,192,412,938,191,
665,877,536,078,674,466,995,351,337,348,625,651,133,838,022,132,485,797,083,
082,666,580,022,767,842,844,769,148,193,372,610,009,198,052,534,748,178,340,
669,541,503,966,625,094,666,912,454,991,429,856,971,888,521,638,164,246,217,
592,801,315,390,330,966,981,153,798,629,703,461,735,723,012,114,562,461,094,
576,672,429,478,818,953,789,497,931,961,313,352,381,842,644,802,253,125,738,
018,295,899,555,009,673,225,019,621,655,916,323,293,921,267,835,811,457,188,
903,821,364,249,735,577,434,010,458,174,262,735,299,505,552,793,873,898,630,
089,560,616,034,686,140,365,654,507,291,923,959,292,269,477,624,890,240,221,
841,797,372,748,469,511,594,943,033,513,285,125,925,967,183,944,216,203,347,
306,902,411,802,015,909,843,662,104,626,336,080,377,768,370,921,487,597,504,
838,520,868,571,105,213,679,687,301,924,813,417,276,960,978,799,361,456,704,
860,844,611,200,148,599,406,864,530,598,729,226,875,004,187,052,915,037,949,
397,046,045,603,449,788,295,093,837,242,436,219,592,278,249,350,407,914,443,
768,027,984,529,797,639,703,280,752,825,137,545,354,412,996,528,054,191,852,
204,057,712,404,965,828,576,350,335,853,570,712,348,376,500,620,651,148,292,
698,487,702,993,587,169,074,862,708,432,913,184,769,758,663,803,332,548,354,
578,895,823,370,367,210,795,011,354,869,505,156,445,601,811,308,497,223,815,
993,898,283,998,874,831,402,374,814,086,685,231,710,943,438,590,120,004,856,
524,273,078,663,211,335,401,439,147,594,739,669,718,978,204,152,295,758,484,
131,361,334,486,231,276,545,599,454,514,411,753,122,494,798,048,823,645,440,
408,461,309,562,984,091,074,903,453,284,194,970,354,511,305,508,816,407,570,
073,014,612,010,110,922,246,636,528,825,029,816,269,519,404,463,861,118,490,
256,398,591,226,727,134,360,914,249,866,882,197,086,409,591,148,046,505,533,
639,468,260,565,646,259,813,215,344,242,971,556,005,550,653,751,383,438,445,
050,763,145,405,794,161,775,272,965,593,664,111,453,232,652,183,131,810,456,
568,742,159,231,907,935,696,399,822,394,032,425,793,999,529,219,926,088,925,
242,696,372,432,150,214,776,327,403,395,962,009,915,431,102,303,448,598,131,
564,970,818,856,947,755,260,449,947,946,929,846,861,064,285,279,132,017,229,
573,792,718,957,048,314,558,416,983,340,776,001,299,005,551,717,954,806,010,
147,097,743,905,697,279,450,529,262,991,487,113,824,007,483,458,916,770,400,
310,566,335,826,811,504,503,431,821,533,915,060,641,682,145,340,676,076,622,
881,226,435,480,749,161,409,538,633,852,780,971,327,647,596,239,081,928,774,
802,213,338,596,001,170,822,453,028,535,935,916,792,839,471,996,917,874,888,
172,252,448,948,360,203,471,419,625,911,231,410,830,566,585,991,694,997,818,
821,148,359,833,895,319,066,792,466,819,742,294,416,706,777,612,266,613,016,
122,285,555,161,836,708,992,491,113,866,572,114,940,048,854,545,500,990,989,
910,545,636,329,944,325,507,516,236,546,641,127,267,472,107,604,743,982,828,
725,342,456,040,296,920,665,622,719,700,302,546,513,634,754,276,992,481,455,
338,267,645,589,458,414,010,269,326,113,462,567,260,396,140,915,983,413,631,
936,901,625,039,522,044,450,277,228,794,891,905,891,389,690,004,761,610,360,
252,853,291,465,366,164,799,247,854,999,030,705,374,852,253,210,484,035,201,
031,690,156,225,521,274,538,100,118,220,018,823,412,801,743,188,582,112,275,
142,565,712,930,441,056,443,413,380,556,765,633,167,493,285,913,383,423,944,
231,986,181,134,034,422,321,761,615,262,249,967,997,619,326,348,621,102,704,
919,752,864,054,983,349,081,388,161,500,769,023,283,458,990,539,038,416,445,
462,774,033,987,787,663,316,668,195,942,080,989,645,271,579,697,718,928,353,
645,313,323,774,543,969,060,814,695,806,655,711,757,681,784,848,919,693,509,
642,188,010,700,969,253,528,311,161,889,483,077,854,460,790,334,748,215,891,
332,692,959,606,685,754,251,016,605,250,271,216,220,944,337,474,897,462,774,
622,413,674,813,023,675,038,288,129,095,420,724,567,723,522,492,432,417,611,
309,040,866,250,882,581,150,145,066,743,709,963,825,644,608,550,485,541,820,
658,041,649,344,564,409,208,767,667,422,999,070,715,057,329,623,376,194,921,
238,190,226,171,757,467,054,565,181,151,741,842,699,682,234,617,059,832,921,
020,214,785,008,707,897,286,706,820,647,319,806,097,629,146,797,199,339,903,
233,001,323,421,459,736,769,829,016,458,394,478,816,817,155,777,064,367,222,
009,922,717,604,566,203,121,566,211,392,046,136,254,782,321,715,590,720,717,
410,959,805,046,531,665,858,357,149,061,666,148,250,334,890,475,772,169,627,
256,620,732,411,984,695,831,802,923,251,397,332,239,750,210,280,885,357,024,
708,352,184,105,978,081,218,602,695,217,827,727,888,863,769,038,799,783,044,
861,826,344,368,123,902,059,511,310,861,653,968,411,486,922,844,975,678,052,
050,048,321,444,444,275,940,486,748,047,630,416,874,972,385,381,977,975,091,
359,244,602,447,031,832,209,432,020,080,385,550,231,261,727,794,235,255,672,
812,016,627,059,722,679,917,350,460,522,690,972,686,823,159,846,452,723,873,
299,949,984,565,622,960,868,199,352,340,935,105,740,203,508,866,661,381,486,
919,535,833,732,528,509,034,786,224,781,790,503,929,104,873,763,755,789,612,
545,378,221,923,615,085,789,397,543,350,360,754,801,906,116,888,698,585,531,
344,938,588,066,152,046,003,792,335,958,212,191,547,948,919,891,145,652,911,
858,318,634,864,602,353,119,577,311,409,179,131,313,097,554,827,100,172,182,
850,806,995,185,929,584,931,197,798,859,651,848,256,750,852,219,145,937,560,
401,020,900,809,199,174,576,982,107,707,348,741,093,350,997,064,605,967,022,
642,643,095,903,489,891,692,342,560,892,674,023,522,705,418,223,925,476,070,
925,063,357,317,474,256,794,240,225,831,096,285,890,004,806,089,642,839,539,
101,501,997,250,344,923,577,636,219,406,071,123,971,470,987,200,206,433,304,
781,107,914,227,956,579,514,704,666,090,463,894,048,567,920,277,598,286,303,
953,083,766,157,821,613,641,936,253,131,528,742,543,621,917,120,329,898,830,
743,771,743,262,959,759,573,891,407,044,118,883,736,754,817,046,154,377,836,
385,409,862,203,796,156,788,619,387,186,627,828,875,171,736,555,240,589,492,
031,521,543,463,177,382,794,141,177,719,936,689,335,373,939,583,119,799,650,
051,346,781,715,136,972,415,476,947,037,384,165,146,702,481,677,092,149,380,
214,834,707,596,727,518,386,553,445,859,069,533,776,654,272,927,993,412,187,
887,232,834,076,041,542,252,806,407,303,246,520,311,623,532,516,880,329,994,
392,936,728,113,464,728,235,945,126,358,602,081,110,353,022,133,507,676,622,
290,686,712,244,374,102,917,036,039,101,741,959,205,255,894,922,805,550,230,
305,062,421,603,134,476,305,128,976,778,287,605,956,608,693,240,917,688,206,
535,248,596,283,522,732,448,815,166,642,078,509,439,352,199,721,996,904,739,
212,169,141,433,273,931,930,923,492,583,845,828,149,777,027,773,254,794,922,
632,672,076,991,244,522,159,329,036,564,670,822,209,634,169,790,944,830,921,
335,113,273,603,699,322,611,607,657,218,783,174,810,172,255,957,000,251,186,
003,896,491,000,624,039,493,683,967,734,472,029,993,085,070,649,612,964,380,
782,233,906,230,717,367,105,875,505,089,229,208,512,610,123,441,987,659,582,
323,197,420,123,625,097,733,904,690,805,654,651,257,919,682,727,383,873,817,
101,769,597,153,571,590,948,832,545,430,385,510,515,257,951,899,997,170,888,
519,059,195,896,823,173,430,626,840,987,528,830,552,961,092,035,942,593,560,
282,775,985,158,602,745,453,805,451,061,566,580,647,805,191,060,872,273,631,
527,804,846,555,681,550,582,990,227,991,787,518,279,820,230,260,120,873,596,
877,984,184,883,613,043,223,089,128,436,898,898,921,440,846,805,241,024,874,
883,392,685,924,764,933,334,847,229,399,799,531,757,402,514,604,291,994,980,
564,830,808,461,110,309,201,948,144,002,332,016,427,041,540,927,270,741,084,
542,739,844,364,329,991,430,489,014,052,215,729,466,369,650,951,182,292,814,
966,049,073,232,399,354,088,299,460,045,519,618,689,832,807,887,548,723,943,
775,084,720,237,028,806,928,899,011,167,109,422,949,200,171,785,617,354,178,
695,219,673,821,487,468,124,778,194,860,386,277,353,518,293,424,990,052,243,
677,388,692,250,086,253,163,835,064,329,449,726,151,809,034,411,862,957,952,
573,313,080,394,809,988,406,557,332,574,485,475,156,243,419,077,975,551,537,
805,955,655,809,701,732,244,887,025,262,263,543,305,522,339,075,967,426,809,
294,297,338,214,047,773,428,307,424,161,579,558,810,040,296,079,794,155,248,
195,201,791,796,235,204,747,179,834,214,183,463,654,090,662,761,004,641,172,
871,595,516,135,724,743,326,888,192,879,640,067,201,539,087,469,230,035,891,
264,619,874,885,786,362,762,739,863,338,830,288,306,771,165,191,444,277,544,
992,558,032,831,189,835,198,870,105,270,302,955,639,580,794,195,838,247,284,
753,975,764,892,943,294,183,550,144,396,856,147,652,721,621,115,954,061,109,
534,422,929,276,947,649,185,511,304,238,294,879,852,065,555,428,018,874,875,
127,783,106,424,424,791,285,163,658,644,251,946,504,990,928,929,437,929,203,
494,541,444,082,804,522,539,724,041,721,078,809,972,501,564,205,780,115,583,
024,628,953,027,384,357,982,197,895,174,204,770,936,082,603,003,036,074,043,
661,997,923,931,391,883,310,520,564,229,643,043,713,210,187,226,877,243,109,
288,865,928,942,633,507,287,838,572,652,824,196,559,664,462,655,996,097,221,
311,984,942,803,772,976,225,923,701,941,054,840,503,389,679,388,619,985,626,
530,355,300,629,275,716,660,425,903,822,419,488,977,783,279,815,411,115,810,
939,211,276,545,648,984,031,207,119,495,670,917,350,684,895,410,555,991,412,
481,920,888,841,644,029,001,341,344,240,821,343,181,683,950,169,329,739,666,
990,055,373,407,723,472,110,247,817,016,996,621,819,826,392,149,686,238,344,
311,837,872,209,462,019,565,180,165,899,228,965,004,573,326,023,148,800,426,
095,164,466,900,282,015,006,860,790,813,801,106,203,020,678,631,023,835,719,
744,353,169,705,317,975,948,324,500,074,221,711,291,696,369,700,914,193,678,
120,444,868,988,238,587,687,121,201,322,773,422,823,293,735,236,218,708,800,
012,672,535,863,426,783,302,738,517,714,010,625,706,426,969,899,115,831,784,
471,741,283,969,578,949,754,500,381,013,467,881,288,805,684,922,242,848,850,
013,759,399,532,461,887,405,413,828,257,616,710,661,669,158,535,581,814,977,
979,993,210,933,416,625,117,844,224,111,425,108,554,696,927,722,589,591,661,
928,197,645,725,856,317,417,713,554,536,583,500,706,115,715,613,202,994,818,
076,489,199,776,110,090,720,183,014,191,921,571,035,418,060,433,971,767,207,
061,066,236,006,127,301,828,449,804,279,397,943,712,983,239,210,918,185,181,
356,782,223,230,172,899,765,047,161,672,053,530,293,273,110,927,106,321,790,
062,835,948,768,517,283,391,749,817,402,829,802,580,189,456,450,049,020,655,
664,003,693,794,776,766,465,505,807,606,499,421,207,071,715,105,408,271,331,
430,748,147,803,129,439,918,469,539,087,712,993,159,297,198,441,151,382,248,
785,495,170,601,819,825,033,932,635,685,497,112,552,176,010,310,397,738,714,
967,333,250,484,538,171,481,028,307,942,185,410,420,324,541,270,735,618,913,
936,393,122,096,151,169,428,850,603,280,006,062,149,486,193,010,890,049,376,
567,682,296,958,209,363,336,397,807,944,743,060,444,213,817,591,035,217,540,
516,854,190,613,389,192,928,831,186,317,201,686,688,068,660,210,068,586,889,
261,097,475,089,725,057,174,296,340,442,950,638,240,383,347,787,563,948,539,
581,068,974,357,886,037,931,417,130,719,396,273,444,784,640,494,994,130,772,
845,299,746,094,415,843,311,937,797,694,985,054,281,535,041,881,356,525,247,
118,759,440,702,171,829,110,666,889,366,658,545,790,223,223,743,747,628,565,
480,215,922,658,880,425,240,088,022,539,137,947,596,786,300,282,458,693,163,
932,175,907,846,515,300,695,325,545,363,580,067,824,287,060,971,667,742,953,
412,920,094,427,536,319,748,187,912,043,044,289,358,893,602,720,798,336,131,
673,343,657,132,173,581,010,384,889,004,257,358,977,622,004,161,352,142,576,
688,407,502,760,950,007,530,186,875,020,180,985,824,763,972,013,928,800,588,
330,209,910,783,746,464,661,098,252,521,620,353,999,476,629,731,998,897,383,
498,940,890,547,856,937,458,621,069,539,154,386,392,740,855,695,469,770,015,
098,923,531,917,427,127,437,861,026,425,749,971,821,860,162,306,478,857,181,
325,291,213,898,875,442,676,001,887,980,911,070,032,491,546,881,144,404,683,
211,471,294,617,197,353,389,790,152,072,102,650,451,434,429,225,492,045,371,
700,020,944,760,890,394,955,216,954,796,573,406,732,821,129,888,897,907,060,
114,035,247,435,537,291,657,567,048,737,773,910,590,069,770,312,570,399,052,
343,934,277,184,153,306,358,263,880,810,940,505,029,636,853,486,015,876,965,
849,624,065,782,238,374,081,013,528,940,180,915,004,896,372,414,160,220,935,
027,284,416,299,746,721,962,754,810,859,804,084,936,010,491,150,790,308,637,
970,983,365,524,870,404,692,310,744,519,258,363,986,938,269,971,827,580,610,
058,345,390,153,524,855,841,465,671,865,642,764,406,388,521,427,868,839,720,
960,013,979,249,649,732,668,640,428,829,640,791,965,089,095,114,962,922,575,
518,566,321,713,364,016,326,363,327,209,890,321,387,851,629,766,446,951,756,
884,598,754,416,347,127,482,831,535,234,552,820,102,752,210,523,504,535,114,
471,247,690,278,257,671,388,411,011,698,874,892,548,757,296,760,968,405,693,
930,012,233,847,399,265,434,093,375,494,108,429,931,436,612,960,186,665,607,
087,435,484,866,000,956,659,265,593,915,860,202,266,170,186,129,682,452,777,
684,883,017,044,099,049,970,953,851,566,970,477,045,095,861,261,110,790,959,
788,474,516,405,888,887,403,487,970,101,000,444,990,048,724,965,179,099,149,
977,311,856,625,966,682,114,143,981,601,673,794,260,675,467,395,677,226,679,
407,980,370,741,649,769,608,087,670,437,487,402,689,898,551,144,754,479,864,
369,141,098,962,330,552,316,107,057,014,549,396,077,842,305,838,334,121,372,
920,584,902,648,844,621,164,167,304,921,124,628,451,438,598,264,684,345,783,
539,009,891,119,451,866,970,168,341,620,332,031,030,971,396,706,264,065,368,
216,046,624,151,741,725,871,619,977,437,004,332,199,684,713,621,696,294,691,
170,351,532,179,719,322,160,054,404,728,530,067,587,335,343,649,902,429,432,
431,905,245,003,821,216,218,979,309,895,665,171,654,277,058,637,865,098,756,
574,573,738,291,023,524,448,007,671,608,720,980,549,770,622,384,087,334,022,
381,633,522,135,998,978,747,865,706,497,550,360,764,930,541,390,341,334,481,
827,619,878,023,068,020,738,510,155,848,387,821,278,531,648,691,427,246,177,
854,264,534,260,313,365,203,761,292,588,779,787,138,332,365,470,244,621,020,
561,931,182,082,993,047,942,162,584,800,649,644,575,339,383,865,640,505,716,
192,644,093,893,307,499,639,845,255,127,246,592,066,816,972,372,552,574,831,
301,783,596,799,706,751,417,257,549,691,518,332,925,615,393,773,372,134,189,
714,398,312,202,107,283,757,188,039,244,119,572,551,490,882,759,171,363,783,
542,340,928,388,092,007,506,657,368,982,613,691,594,903,021,582,342,587,945,
350,631,798,564,283,926,238,174,665,304,902,837,488,660,143,100,263,529,875,
268,722,259,225,206,142,006,692,859,371,289,862,219,003,381,964,043,058,538,
837,298,428,737,223,915,255,186,113,547,966,459,148,751,888,738,683,988,245,
546,963,233,466,178,437,446,727,824,029,513,605,946,335,457,520,729,390,387,
295,099,053,055,690,492,963,861,390,183,231,417,435,914,729,064,717,770,971,
385,917,667,476,392,669,152,491,396,454,629,148,096,115,768,524,686,483,324,
482,479,464,177,644,030,833,063,581,025,371,528,007,608,991,996,716,111,477,
793,548,608,709,564,470,718,871,466,670,865,317,487,055,969,561,406,549,294,
931,531,588,097,290,210,910,466,404,135,280,441,785,887,817,038,846,568,270,
594,331,653,349,523,442,159,251,727,561,654,467,700,043,978,417,048,841,150,
008,056,741,744,189,245,979,519,922,089,479,672,105,107,744,599,983,241,144,
018,022,254,122,633,897,603,327,286,953,162,212,419,506,885,610,397,738,872,
258,609,150,315,964,528,594,559,503,586,356,925,766,087,727,537,532,514,169,
732,026,292,485,730,517,517,873,995,224,505,575,593,870,286,253,370,681,213,
319,822,486,017,211,726,089,904,383,828,666,025,355,624,559,372,526,634,789,
414,928,382,043,551,087,432,599,799,154,753,712,825,952,992,223,633,022,589,
727,420,501,359,769,366,473,512,983,290,085,034,083,842,154,685,387,010,831,
144,704,614,553,309,729,659,165,785,218,727,481,176,809,915,010,355,585,595,
526,085,811,890,872,383,904,569,595,931,082,242,347,588,337,213,828,819,603,
158,454,682,732,983,804,885,893,018,802,552,941,067,731,250,164,666,020,454,
694,854,792,846,416,226,165,110,649,456,994,953,962,556,969,779,662,331,522,
070,703,088,403,980,253,184,136,281,165,280,208,123,391,790,745,450,128,248,
366,501,238,522,153,418,185,699,184,221,155,383,849,236,084,256,243,074,942,
681,070,079,337,893,259,968,802,244,393,293,638,697,309,009,239,444,037,824,
522,732,795,612,935,791,970,966,101,137,174,354,921,823,212,784,622,464,544,
836,647,436,853,185,461,895,048,510,969,592,829,800,927,292,354,078,793,654,
074,552,620,948,563,155,574,187,605,494,346,632,894,175,698,511,135,559,967,
887,753,218,252,498,167,130,260,382,872,883,706,187,676,481,202,567,949,835,
088,687,209,859,790,175,924,749,592,975,726,919,172,429,061,681,591,103,204,
064,513,270,650,881,251,261,469,786,017,055,214,345,681,560,131,199,928,266,
783,124,237,358,976,155,581,665,257,643,910,230,672,023,313,040,051,288,897,
043,501,607,633,689,999,478,203,346,666,717,634,940,570,967,031,729,772,251,
578,197,658,021,812,293,530,332,378,773,342,139,068,914,467,485,700,273,502,
628,762,204,490,322,463,351,247,103,255,244,408,241,101,034,878,708,467,966,
713,350,712,757,373,875,264,281,844,613,501,441,261,650,915,601,637,464,700,
401,737,171,758,924,298,023,527,705,681,421,075,595,831,328,312,847,144,341,
599,563,078,537,824,757,839,124,456,652,789,106,407,567,373,979,744,552,731,
978,387,467,024,963,487,436,667,725,707,756,360,933,512,523,979,819,224,029,
579,632,119,475,464,995,836,925,567,161,857,841,516,537,805,402,395,021,080,
627,105,479,015,136,904,242,190,138,082,815,378,867,539,407,323,493,764,392,
593,650,231,693,851,752,170,223,776,546,945,196,295,840,342,567,113,743,125,
208,204,300,456,331,040,684,380,507,279,657,277,253,760,850,533,273,745,457,
427,068,090,274,693,710,802,371,161,345,842,391,530,709,911,277,443,329,137,
979,719,448,829,168,203,576,911,561,707,669,678,175,344,078,685,536,400,479,
202,475,652,844,322,065,334,467,662,139,450,889,159,658,708,277,342,461,118,
084,325,813,221,964,160,294,042,876,603,387,924,386,152,968,503,540,532,893,
718,274,672,993,166,342,247,627,294,337,829,483,795,388,875,354,342,761,630,
711,359,423,865,733,238,752,044,298,970,169,211,480,116,967,464,420,955,113,
979,982,849,364,270,976,171,541,044,446,413,936,675,860,002,917,031,387,902,
114,281,983,353,259,427,390,600,109,397,643,340,309,123,611,866,215,443,283,
389,402,257,958,210,913,993,450,005,302,281,826,689,702,748,761,297,470,020,
876,725,307,283,919,578,393,890,690,132,976,959,270,502,814,616,708,719,958,
982,635,512,857,431,808,925,338,769,918,640,347,005,785,774,147,820,430,963,
698,872,593,774,157,550,139,236,088,797,355,077,610,812,396,127,311,510,374,
347,645,112,315,316,588,199,655,807,294,951,149,832,888,993,586,746,570,757,
598,763,746,917,790,920,634,883,856,972,652,401,823,251,600,933,730,981,270,
005,502,734,772,913,957,216,803,177,933,580,165,666,370,187,271,274,345,725,
000,666,188,468,425,073,946,807,301,851,648,595,816,566,535,253,184,847,979,
871,198,494,081,768,360,628,434,729,851,077,393,536,030,415,270,276,474,746,
249,461,704,935,133,553,235,473,802,353,547,020,388,300,239,168,589,296,018,
256,106,830,865,441,992,445,470,982,061,308,647,000,581,774,036,630,457,538,
425,401,803,171,845,225,339,611,819,961,146,937,348,710,513,459,403,351,400,
637,385,024,304,273,315,358,615,258,758,863,012,138,377,284,876,154,347,778,
589,253,582,454,127,409,909,091,387,688,168,492,838,357,832,302,857,979,507,
053,617,295,782,950,783,182,041,830,742,875,870,961,226,310,270,206,821,998,
432,668,678,537,842,835,848,318,060,668,512,036,993,014,616,061,989,376,659,
958,384,249,950,647,485,646,713,764,975,839,401,316,271,172,893,016,721,449,
459,736,986,356,956,107,062,004,843,805,814,147,598,615,439,761,129,032,529,
298,567,603,234,893,465,357,836,086,897,075,774,557,726,568,364,671,161,194,
438,389,691,835,625,703,184,280,818,445,090,131,504,824,770,328,135,947,102,
853,530,985,359,202,425,187,134,407,593,310,574,926,804,774,528,992,845,503,
737,248,829,907,746,418,531,151,186,267,006,538,279,449,859,443,156,073,159,
343,766,353,734,366,733,106,865,223,090,592,269,797,753,318,681,205,775,052,
640,920,577,281,609,408,991,242,513,705,644,641,226,800,881,041,690,808,481,
092,869,120,529,624,187,539,193,531,049,436,654,775,861,220,637,762,510,924,
332,023,895,186,631,056,021,945,932,793,963,619,848,580,717,046,654,875,173,
841,714,120,532,061,787,822,552,961,873,370,993,479,295,410,059,090,993,660,
326,144,273,726,066,193,528,546,046,372,190,555,286,405,993,002,029,211,251,
013,687,275,590,498,221,948,025,679,028,171,400,741,204,041,175,270,812,169,
519,250,016,933,555,699,575,028,785,686,590,311,152,272,829,702,539,200,958,
427,099,914,843,706,545,794,373,093,882,331,720,263,080,914,333,786,036,483,
193,048,079,335,093,681,267,844,440,723,883,448,664,681,570,151,417,843,169,
187,690,346,522,985,824,084,714,536,194,119,221,583,865,319,441,952,958,701,
219,838,930,314,622,518,796,030,409,066,823,658,599,795,677,753,227,685,216,
216,929,494,457,768,441,197,171,019,468,485,960,670,445,188,614,429,250,665,
763,821,446,751,149,198,742,957,162,165,553,914,892,671,400,383,335,303,964,
721,459,809,792,869,194,495,834,618,399,732,403,125,993,394,503,688,805,264,
686,083,025,965,015,998,593,520,132,794,208,994,334,662,767,621,295,576,155,
585,825,080,555,389,565,507,822,254,956,524,170,990,549,504,585,998,019,388,
468,384,003,152,886,613,199,862,806,853,919,184,114,098,474,795,259,119,161,
953,844,339,322,564,792,677,144,128,707,411,914,528,416,580,287,971,626,712,
983,383,755,647,815,160,420,228,338,932,767,571,846,173,785,058,718,208,300,
406,536,294,230,001,446,968,087,164,998,187,622,918,587,431,314,452,755,221,
868,205,225,981,573,248,130,398,785,044,923,681,889,635,088,900,235,436,349,
180,874,184,448,997,928,512,860,741,273,371,805,967,320,649,507,890,829,093,
024,028,560,331,073,085,078,311,042,608,483,766,808,851,641,781,765,444,385,
339,987,402,037,217,211,707,608,978,096,104,195,137,539,899,862,193,977,070,
312,843,310,933,118,535,975,006,678,636,260,801,097,886,370,428,735,770,908,
783,934,297,832,894,374,663,057,547,087,095,807,547,087,426,489,533,105,390,
645,592,648,742,153,116,384,282,828,638,082,722,625,867,956,656,912,798,334,
689,762,121,880,135,812,384,520,918,049,335,075,108,036,281,364,051,183,650,
706,728,089,353,487,785,980,248,569,205,023,388,237,434,864,929,498,500,844,
800,733,855,720,214,389,297,589,745,880,943,742,774,743,922,502,409,770,477,
038,180,679,513,433,554,041,054,155,845,036,621,340,570,692,480,302,688,271,
503,555,506,130,571,727,592,028,963,550,463,445,455,651,254,514,246,326,856,
418,833,196,195,430,238,069,051,384,743,711,337,920,212,935,294,018,933,458,
364,742,574,795,587,184,880,362,022,306,022,880,075,456,419,508,886,738,422,
538,613,392,628,157,715,591,712,076,699,836,835,705,943,731,436,134,788,810,
817,257,343,308,218,854,835,904,086,786,117,484,058,604,075,479,705,611,422,
696,776,673,654,211,862,005,095,425,814,706,710,769,548,421,255,352,260,143,
314,839,284,968,431,267,993,861,756,582,127,530,068,216,753,492,973,350,848,
100,430,587,764,018,035,789,280,939,456,349,403,465,385,600,862,832,461,065,
409,875,903,984,475,795,580,726,853,916,876,539,444,107,484,239,016,136,592,
755,840,833,086,446,101,750,280,462,163,930,206,618,578,373,587,807,940,069,
734,593,486,144,078,772,143,349,328,272,499,704,839,910,387,828,923,792,460,
954,366,499,811,326,907,014,342,925,459,233,373,204,885,840,405,308,728,597,
933,390,647,633,559,726,355,036,040,539,770,884,453,571,329,647,912,947,195,
124,536,030,986,519,164,105,684,985,623,099,101,144,043,491,895,130,164,359,
450,824,219,559,739,165,594,282,697,112,572,017,291,926,765,026,363,561,893,
866,174,399,305,701,287,078,280,653,319,901,711,640,017,675,684,702,713,501,
260,729,606,085,408,262,627,923,946,808,045,741,591,816,338,831,443,008,077,
328,678,845,310,395,809,623,949,689,399,811,363,030,724,270,008,814,779,415,
495,881,606,329,273,064,643,698,526,527,259,666,630,560,718,369,964,582,688,
758,216,206,254,091,612,978,720,217,505,662,850,593,785,725,206,694,947,926,
209,773,533,460,930,149,951,007,993,601,863,956,168,236,405,928,592,432,933,
772,865,251,578,934,576,803,257,518,700,695,251,479,234,286,947,072,376,888,
542,951,849,070,312,086,058,208,738,573,420,732,800,361,347,764,732,260,145,
484,114,391,211,466,941,120,383,595,047,740,534,261,330,571,993,978,841,602,
724,320,338,246,032,601,243,651,392,006,161,243,494,014,826,151,719,766,334,
110,871,841,077,798,380,015,194,275,314,662,122,254,628,938,222,666,939,824,
774,809,632,872,593,059,541,164,776,572,629,553,054,788,394,530,432,193,301,
461,314,349,603,852,473,588,757,892,460,293,657,058,347,221,546,536,545,601,
345,143,623,844,105,014,785,943,809,761,181,845,197,739,598,288,360,187,095,
311,697,865,355,330,230,928,931,664,224,125,421,079,490,235,946,063,076,305,
708,538,310,610,365,154,901,380,115,429,383,819,334,545,623,299,205,342,366,
200,878,399,154,426,466,350,838,570,183,945,300,230,680,583,124,924,014,967,
092,306,214,434,282,472,654,068,170,457,788,515,590,453,344,687,301,104,265,
060,130,545,501,598,916,396,682,978,746,576,523,885,109,976,191,589,879,395,
724,904,177,930,448,419,080,028,787,618,412,264,538,862,861,104,450,423,565,
236,889,784,242,840,547,527,179,489,274,711,232,208,694,490,426,651,205,467,
848,975,585,591,373,103,351,488,934,306,342,635,063,633,697,706,350,084,272,
511,316,554,008,659,747,683,220,299,199,053,574,947,962,151,445,948,570,862,
118,310,651,353,819,345,738,553,450,235,221,661,686,257,482,118,940,910,860,
411,073,415,398,454,840,637,734,674,259,306,327,012,380,778,809,096,187,848,
275,949,079,796,872,271,562,504,106,210,187,806,593,006,194,977,051,843,635,
649,675,146,783,852,486,605,678,518,167,858,538,536,907,330,872,487,039,899,
486,025,588,363,635,606,946,595,945,376,500,179,079,310,102,426,397,392,929,
505,012,877,013,126,145,504,810,629,464,191,645,112,455,888,051,845,321,489,
474,381,009,304,691,249,416,291,375,840,134,188,806,335,939,939,213,752,577,
075,623,293,721,520,341,100,859,921,387,119,153,890,835,706,477,621,611,043,
510,610,400,894,747,048,309,398,011,480,927,713,436,501,575,100,026,320,422,
105,013,560,530,304,444,968,135,847,762,923,329,508,697,302,489,944,943,078,
600,690,424,924,300,338,219,210,099,875,370,007,304,018,981,935,327,609,922,
736,749,537,298,995,889,996,659,346,928,880,264,347,692,384,356,292,542,116,
806,881,998,269,324,040,267,632,245,305,726,573,242,389,549,281,603,885,842,
628,933,197,789,750,836,130,573,722,985,724,361,412,524,119,788,807,564,067,
948,309,727,940,765,661,333,546,792,635,871,255,700,101,955,379,777,380,558,
586,531,601,073,464,585,317,720,641,331,404,403,960,828,207,167,265,487,034,
674,837,731,087,075,404,501,811,618,191,865,322,274,941,770,091,293,497,971,
696,362,288,736,510,916,062,317,345,044,920,724,210,100,993,316,900,841,826,
980,647,007,657,082,304,148,189,808,156,396,959,661,286,410,393,076,159,821,
351,333,029,486,743,387,887,965,815,065,382,049,108,264,966,610,735,081,681,
203,117,074,914,125,058,422,011,221,200,948,655,974,344,028,050,712,390,154,
079,932,204,892,732,400,206,606,207,291,838,671,792,872,094,385,263,598,835,
359,272,528,391,240,874,698,781,177,644,717,576,073,615,876,948,054,901,722,
489,345,087,130,279,014,981,060,606,637,042,929,463,785,307,537,397,343,352,
969,400,818,111,030,549,555,915,984,064,490,464,272,244,776,384,498,282,550,
853,356,087,501,189,684,381,897,642,547,423,126,281,933,886,936,802,592,401,
931,064,308,813,815,101,381,951,350,202,537,432,347,732,115,569,982,276,286,
188,889,644,886,653,102,830,398,916,301,723,950,776,087,714,703,234,105,123,
442,386,774,574,507,110,702,354,701,518,367,526,842,488,820,039,545,936,598,
006,016,792,557,692,167,413,224,410,804,046,670,545,752,952,139,959,051,100,
172,499,337,291,780,630,673,368,023,805,953,808,744,142,523,715,661,230,912,
911,264,929,552,293,759,883,677,193,370,596,578,422,967,058,293,878,388,867,
346,666,197,185,259,027,843,411,094,151,725,174,080,600,260,251,742,829,236,
768,143,602,004,993,827,817,891,117,190,411,000,572,867,569,696,648,562,200,
824,647,078,543,643,767,734,074,193,057,295,018,966,207,699,179,890,074,228,
619,107,786,165,137,681,686,615,149,718,080,808,754,572,102,849,434,005,673,
639,141,054,329,097,336,882,142,349,913,051,921,345,724,760,133,487,950,049,
472,744,735,622,570,802,079,923,896,621,878,055,660,445,660,785,509,809,073,
198,556,999,517,263,298,658,622,974,242,987,344,641,293,662,267,987,400,907,
098,889,603,544,496,896,959,499,685,740,632,461,629,222,489,334,405,343,285,
936,625,279,061,886,659,409,908,577,046,979,631,213,040,266,372,061,437,578,
786,511,581,908,797,236,649,760,765,597,921,325,926,241,968,690,649,083,786,
590,176,908,435,048,485,891,547,376,511,449,045,677,208,592,396,257,175,537,
435,543,045,712,506,199,408,394,162,998,259,357,907,726,803,408,790,563,507,
922,702,476,560,167,982,164,304,744,628,343,106,574,198,608,652,502,098,183,
789,993,051,811,015,137,457,979,295,957,533,209,441,743,607,424,314,027,775,
975,931,115,168,768,813,093,601,885,292,445,389,078,090,283,161,680,851,237,
530,904,201,778,985,446,470,843,881,939,580,936,023,623,244,442,827,284,391,
495,058,922,663,030,833,752,970,330,927,951,689,216,320,915,035,175,673,113,
694,164,186,839,221,778,191,851,885,404,722,168,553,785,384,234,373,718,322,
902,084,666,045,266,239,520,608,855,088,511,619,804,332,337,588,329,508,599,
111,476,639,339,626,623,348,034,024,466,261,717,502,633,019,408,379,707,295,
060,505,021,035,745,774,401,673,039,260,110,479,801,669,615,842,085,325,994,
320,424,340,018,452,115,292,194,571,148,347,727,314,254,790,207,586,014,530,
428,444,266,976,769,542,022,649,770,536,721,742,963,641,076,626,293,509,603,
559,199,946,021,667,268,869,563,696,150,325,806,092,598,372,714,354,473,194,
867,778,347,685,635,025,159,915,851,051,156,615,492,394,587,812,101,803,941,
218,595,984,717,675,012,176,917,893,904,451,885,831,101,909,235,027,486,831,
948,601,350,895,000,377,675,833,544,108,219,370,005,639,665,963,853,401,876,
417,540,106,773,797,136,484,817,417,497,553,148,855,946,047,665,585,139,462,
036,727,401,883,410,400,911,165,349,066,170,753,371,603,140,324,167,331,876,
415,829,573,070,298,459,376,110,919,219,097,823,846,861,165,948,821,827,721,
071,448,233,607,016,499,217,825,076,803,601,461,763,993,331,811,483,018,845,
052,020,507,444,024,430,037,964,160,981,294,370,261,848,749,363,380,058,740,
298,552,560,468,307,226,456,838,515,478,334,816,750,552,594,455,761,448,522,
610,311,420,811,377,196,282,444,161,358,196,769,390,077,401,812,851,010,345,
523,824,862,853,463,152,167,486,936,502,653,612,286,615,905,466,856,499,708,
396,048,784,273,673,037,649,447,658,562,985,281,793,654,327,565,203,315,180,
986,991,491,439,400,516,457,880,629,390,836,265,841,784,167,784,828,429,642,
111,729,576,879,770,877,622,058,740,782,500,237,081,104,927,927,042,000,059,
728,835,444,246,685,462,715,689,490,580,022,791,401,927,710,365,515,564,396,
247,851,626,295,370,933,794,268,285,465,417,872,399,908,697,175,860,174,755,
826,746,373,536,470,947,251,839,457,139,101,740,076,025,235,750,962,110,196,
630,628,556,936,854,302,355,109,922,486,123,238,059,023,792,285,570,926,885,
675,122,297,373,573,100,733,938,307,448,045,759,271,113,255,986,709,872,361,
070,985,126,653,272,681,225,857,935,086,155,266,441,343,489,503,879,630,294,
146,352,530,783,192,139,658,954,467,474,723,092,617,332,881,588,852,442,932,
668,195,496,994,294,519,800,471,395,177,098,263,582,271,742,580,098,457,806,
041,630,293,651,738,408,966,522,304,367,565,083,231,882,650,822,144,971,932,
816,804,641,860,290,097,453,277,502,370,752,527,927,688,450,582,735,021,689,
349,426,448,962,072,504,720,129,798,240,849,932,497,528,629,750,210,415,753,
880,473,228,457,386,142,927,904,825,931,373,654,288,177,805,230,247,739,709,
554,115,369,568,724,576,007,959,655,221,224,494,678,992,356,021,283,255,582,
715,346,138,280,862,739,154,650,006,755,596,778,512,394,633,396,771,962,424,
086,792,552,603,803,037,038,732,735,384,104,492,518,200,845,433,051,698,994,
239,467,707,165,853,705,622,031,901,646,703,160,632,140,396,704,037,991,873,
447,992,393,919,973,841,836,295,720,138,535,195,113,904,612,032,821,856,747,
265,648,989,442,326,703,210,696,981,703,254,878,670,499,145,903,905,207,808,
151,043,774,415,825,829,180,046,259,578,346,414,485,182,011,794,083,223,898,
922,318,047,703,882,065,205,848,057,268,690,386,292,300,775,794,453,778,348,
908,221,717,461,099,323,352,371,063,138,321,612,926,674,462,828,995,318,525,
358,368,666,282,015,394,551,581,348,050,687,446,673,625,852,548,731,838,634,
258,053,906,196,996,611,877,278,565,759,729,695,943,084,481,020,550,131,875,
586,390,900,585,354,671,845,528,485,081,306,922,219,338,375,186,437,529,668,
410,344,747,659,362,629,325,262,423,446,970,837,824,359,062,755,624,504,192,
550,207,229,234,758,264,010,351,606,034,834,113,188,294,201,192,225,184,971,
362,137,133,334,454,339,906,769,569,279,962,697,539,295,085,183,442,797,983,
159,293,714,921,318,570,453,014,397,972,419,910,490,393,372,096,593,018,612,
469,933,210,917,083,312,972,517,322,149,481,646,480,676,274,365,717,219,803,
737,348,585,007,651,186,497,683,666,884,189,862,600,270,079,915,190,247,794,
974,103,631,234,771,038,140,257,755,114,994,168,010,155,778,309,198,689,605,
150,504,519,468,526,892,840,219,726,289,779,117,296,767,337,381,923,429,537,
850,789,626,809,649,127,007,959,537,217,654,267,783,654,605,002,801,603,932,
857,493,993,233,512,040,263,519,744,247,888,371,797,243,547,461,686,528,196,
298,183,690,789,624,273,073,644,450,972,417,326,929,249,718,141,676,325,667,
229,656,237,696,450,168,525,243,459,698,533,550,047,518,805,263,598,935,136,
597,261,620,103,413,074,304,718,309,225,653,653,343,646,966,473,691,971,508,
537,996,130,483,847,933,694,197,945,973,476,916,343,933,822,092,422,300,713,
959,178,026,141,108,969,428,667,103,687,026,005,014,134,382,390,544,426,030,
606,151,101,600,493,870,076,143,583,850,909,612,284,627,939,920,035,210,469,
018,025,578,268,666,110,319,057,108,991,888,210,420,781,982,392,172,433,649,
768,261,994,168,807,091,430,166,013,598,813,871,675,260,129,405,708,005,022,
381,120,140,387,851,248,003,727,302,627,545,213,160,679,131,915,999,880,221,
396,388,871,375,579,807,263,938,805,656,147,936,333,006,758,787,384,591,786,
938,460,919,402,513,697,386,338,602,781,458,514,742,860,388,567,443,355,961,
993,373,694,286,754,908,137,425,663,512,860,084,571,174,700,065,356,970,822,
518,503,413,657,441,206,736,929,667,179,162,929,927,437,130,116,711,113,664,
406,562,419,094,043,645,535,388,290,132,465,467,944,805,721,157,433,441,928,
345,500,234,406,819,441,736,070,026,262,698,334,215,032,432,615,600,177,234,
279,437,883,341,629,197,247,628,897,570,837,627,224,901,109,956,535,715,519,
244,030,981,964,257,455,136,048,663,959,834,354,662,138,900,458,848,604,788,
317,197,927,244,136,413,931,752,840,424,566,996,302,486,664,277,605,907,670,
981,680,735,611,489,479,072,168,743,956,062,670,852,406,027,369,580,391,604,
977,517,926,984,647,718,053,122,014,131,792,705,324,328,340,444,225,108,813,
198,694,356,731,325,675,586,763,054,536,618,734,953,596,189,864,848,915,114,
956,942,112,242,607,292,875,526,574,868,656,344,969,109,939,368,844,376,081,
364,192,023,633,089,137,117,934,081,996,921,086,052,732,821,513,055,100,613,
919,649,648,331,365,223,759,146,836,984,026,810,727,751,503,572,336,227,780,
055,389,919,580,417,391,078,049,816,198,319,964,709,761,332,552,162,659,878,
034,849,533,653,789,551,606,952,791,096,527,180,009,359,455,705,421,769,448,
979,471,003,943,422,543,742,660,682,558,578,806,210,086,435,659,789,161,466,
831,472,017,157,736,958,272,366,225,947,504,090,370,216,216,478,942,636,585,
357,171,715,386,242,617,520,443,675,273,503,640,157,242,976,087,103,276,289,
798,263,093,962,484,440,037,342,416,154,765,561,582,971,243,226,732,302,463,
279,020,453,618,931,100,480,662,905,697,462,117,761,400,572,315,640,526,323,
339,243,185,274,114,034,956,045,050,312,841,435,330,066,912,156,018,904,248,
457,805,249,991,996,452,617,683,949,605,891,713,367,802,364,612,467,164,909,
992,315,277,505,944,385,190,360,156,864,589,357,300,634,129,682,194,955,918,
686,325,827,315,388,501,325,605,548,836,759,379,756,510,413,029,164,991,483,
737,068,194,445,456,066,640,585,716,421,831,120,463,894,384,404,694,519,515,
204,100,833,250,913,132,752,771,370,275,791,233,514,393,885,689,820,463,680,
437,333,388,408,760,997,808,390,388,445,600,805,108,735,427,621,084,819,098,
135,078,941,333,022,188,695,860,415,796,970,098,952,118,243,323,290,846,282,
872,805,948,908,483,111,002,208,121,953,189,849,445,271,711,005,867,675,682,
714,265,907,876,626,157,615,869,556,044,036,515,043,121,373,647,997,160,385,
278,459,006,599,682,333,074,965,691,709,652,019,417,165,665,741,530,480,483,
400,311,932,602,983,976,590,969,607,259,982,415,517,725,149,725,977,295,133,
430,070,703,090,821,624,902,764,340,637,397,643,324,137,873,315,802,302,399,
859,804,904,623,495,056,022,598,414,622,938,465,451,764,194,372,508,669,086,
430,406,416,816,446,472,829,619,050,666,411,283,211,788,649,614,263,170,836,
776,063,492,670,647,999,937,931,787,000,933,156,303,991,691,608,109,239,962,
247,592,289,859,108,693,317,472,951,117,320,323,433,024,797,037,494,379,737,
625,279,122,308,131,858,822,735,985,939,694,215,449,966,884,640,648,339,120,
986,807,170,729,685,851,020,617,196,486,841,044,046,498,479,101,189,062,122,
037,173,870,359,020,093,222,210,166,815,699,234,062,815,190,104,481,567,158,
458,637,351,479,311,854,687,640,147,060,466,207,680,322,130,537,079,209,792,
141,426,707,540,455,861,890,429,703,493,010,667,553,709,469,980,360,872,438,
019,297,093,697,139,670,781,835,264,380,773,325,090,200,648,384,887,274,852,
476,005,014,969,469,818,437,964,301,083,498,833,570,863,461,604,600,478,973,
017,511,982,600,640,659,788,358,581,959,176,758,471,259,293,983,865,548,352,
912,812,881,331,292,477,560,536,759,670,229,344,036,934,792,920,125,550,851,
555,844,488,641,058,888,828,683,889,047,205,203,194,288,255,764,876,144,490,
887,586,895,416,940,763,295,344,946,854,981,958,108,386,892,332,061,672,742,
412,965,030,161,652,851,626,506,935,162,301,143,475,751,234,122,941,580,710,
662,611,224,735,552,531,693,100,780,809,283,838,098,372,537,271,932,445,184,
483,025,835,495,326,518,005,775,165,486,661,384,890,778,136,453,748,695,376,
404,533,676,283,209,882,478,862,367,878,522,473,893,418,591,988,257,031,818,
641,298,712,934,540,340,161,267,794,454,601,532,085,600,931,075,239,624,943,
079,312,773,127,257,162,506,703,338,001,108,875,011,901,209,744,519,866,877,
406,734,880,304,381,916,287,683,173,045,794,499,840,785,928,242,387,940,574,
471,249,937,035,021,460,295,993,591,178,197,874,376,870,983,794,909,819,384,
902,420,853,807,638,045,429,228,696,997,353,338,550,359,984,715,197,731,205,
108,734,359,244,937,254,138,933,764,925,753,632,765,313,816,731,711,807,844,
892,968,305,260,245,069,636,382,682,906,220,914,923,956,782,604,435,741,370,
921,385,429,122,523,272,825,155,580,090,856,927,604,903,886,112,949,808,417,
594,950,103,111,925,046,477,025,123,502,715,335,892,304,413,645,910,290,092,
270,268,253,666,789,207,440,943,116,521,101,330,310,306,655,200,293,842,179,
072,842,941,386,753,059,544,246,859,493,290,966,271,686,722,073,250,004,496,
095,371,005,269,963,701,294,670,689,057,449,933,181,631,776,301,070,021,841,
662,437,089,813,216,483,318,148,960,674,650,091,164,196,842,616,479,066,906,
554,885,268,770,010,372,791,089,281,134,333,992,160,359,293,714,052,323,952,
240,850,411,078,374,560,547,926,534,145,134,792,105,772,261,517,868,064,013,
524,555,662,286,429,525,192,068,948,978,272,064,505,561,948,141,451,976,290,
573,453,769,831,556,056,691,997,734,033,746,353,473,710,520,527,127,428,311,
003,487,269,144,620,386,494,951,279,500,211,220,407,587,108,187,423,811,838,
362,057,894,688,354,889,894,243,416,720,611,228,154,735,031,957,173,540,494,
652,270,486,978,089,181,682,403,506,554,244,020,090,453,869,596,109,031,141,
259,856,904,865,253,152,527,930,079,239,222,689,762,709,079,153,270,341,892,
910,368,309,110,450,884,878,832,029,519,960,464,408,626,211,179,303,146,020,
686,003,075,573,743,775,709,571,251,049,091,261,251,590,397,712,422,330,344,
680,542,606,816,600,692,976,783,168,824,346,226,269,809,529,564,083,917,461,
859,218,562,241,440,988,107,964,603,823,394,199,163,451,934,400,482,273,873,
156,176,158,941,400,766,407,260,367,694,993,932,433,916,979,647,344,851,319,
862,243,236,541,502,070,448,337,581,660,774,211,177,274,371,656,741,743,627,
454,244,122,617,628,416,926,507,419,813,147,468,279,970,796,821,032,744,707,
742,135,653,719,561,073,875,235,355,141,996,466,196,048,148,444,755,495,178,
923,859,432,425,964,978,317,117,889,214,248,198,361,644,695,435,550,628,569,
651,265,479,183,189,978,908,464,739,818,574,925,548,621,657,997,663,869,763,
573,514,035,775,580,165,521,108,287,828,124,782,447,504,874,670,454,799,118,
081,286,459,031,434,888,339,768,698,793,983,504,632,387,796,196,706,170,034,
070,594,764,463,223,310,185,273,623,292,021,129,753,738,144,883,445,379,490,
508,281,882,279,331,315,827,741,279,152,446,101,775,955,982,155,042,214,914,
295,082,413,431,745,828,521,125,594,164,609,324,387,674,771,930,675,329,995,
218,574,088,428,326,151,403,185,477,551,035,345,991,474,458,839,020,123,756,
222,096,482,959,948,843,742,672,252,223,846,089,152,586,876,789,432,670,834,
223,010,907,740,244,885,202,236,053,510,837,727,042,210,635,489,162,704,019,
023,260,019,538,818,991,298,364,135,441,581,830,923,350,757,154,504,346,328,
572,839,430,660,239,409,259,115,491,729,901,164,279,723,116,925,658,762,239,
402,031,610,174,223,244,634,636,501,178,702,414,321,048,012,623,974,929,761,
692,810,830,891,322,466,369,892,345,058,850,299,562,357,766,515,853,194,387,
971,165,566,715,080,127,297,025,514,943,764,366,520,070,048,646,041,675,796,
364,036,910,111,664,163,906,403,280,029,511,561,704,165,760,854,453,463,863,
422,338,023,764,563,001,435,968,606,151,683,304,288,619,547,282,284,825,966,
963,750,105,340,751,107,603,813,204,734,570,875,219,973,507,169,323,967,613,
535,565,121,167,679,181,767,549,290,431,221,188,934,646,048,368,604,709,675,
235,041,708,409,605,745,004,497,692,181,277,560,908,199,027,680,692,704,929,
987,547,093,221,660,341,210,708,606,146,010,269,478,843,428,644,750,739,960,
941,590,496,725,779,419,932,889,928,007,543,330,837,640,474,198,435,147,772,
546,860,799,511,967,775,295,007,952,910,845,767,591,498,848,196,044,500,182,
804,543,167,134,721,813,185,355,819,893,427,802,750,290,553,460,095,969,313,
885,151,955,684,234,984,797,498,546,851,101,019,339,796,396,760,715,194,375,
266,759,458,493,115,430,665,889,870,173,564,914,440,313,223,485,438,142,714,
310,135,267,602,928,578,232,190,625,921,408,769,217,304,049,092,414,145,229,
191,291,304,197,917,718,258,641,632,101,686,735,806,231,410,338,539,437,656,
501,203,994,352,268,491,033,804,577,562,506,689,888,172,863,958,076,597,363,
093,228,407,569,522,611,722,962,205,633,959,996,959,426,274,734,585,124,461,
607,492,725,493,374,846,237,924,777,630,632,158,840,490,019,052,769,938,888,
442,108,622,493,915,435,802,933,226,556,447,660,444,966,903,954,662,859,210,
705,481,263,568,440,005,249,918,646,651,394,329,807,110,939,245,497,513,195,
915,857,575,331,228,851,200,447,747,495,489,765,549,878,719,581,987,205,788,
577,392,891,271,505,447,417,761,510,151,175,289,209,373,582,745,577,845,969,
602,125,147,140,872,549,492,390,568,215,636,615,706,048,232,374,186,810,777,
970,226,162,225,665,519,382,957,638,345,289,294,500,481,922,783,331,326,352,
371,374,390,165,378,906,989,587,783,323,589,963,278,854,013,073,623,588,938,
551,695,145,284,675,895,873,086,519,017,369,355,704,596,773,442,521,889,558,
148,838,130,661,685,663,730,123,186,915,229,278,530,226,417,547,830,275,114,
597,888,501,411,976,783,587,224,889,440,642,250,810,012,157,240,494,072,705,
736,054,172,851,684,332,385,399,281,280,388,398,534,321,838,651,949,229,335,
320,778,965,799,495,221,500,978,203,288,963,388,932,088,764,446,917,658,196,
702,426,618,621,288,873,734,214,946,190,965,918,703,422,060,338,816,084,026,
608,804,011,135,778,451,314,422,431,318,245,065,898,964,768,641,216,048,031,
521,416,973,146,371,495,468,672,098,077,500,633,242,937,076,902,854,775,587,
654,996,549,025,617,254,816,762,437,807,023,290,798,844,416,946,845,352,497,
816,822,086,091,570,374,942,534,022,217,723,894,351,908,189,668,236,494,339,
672,942,718,099,822,758,696,724,743,806,315,997,653,136,596,559,801,725,076,
616,732,277,198,955,864,682,263,828,572,387,592,646,873,954,930,482,845,325,
344,332,586,483,802,855,987,484,419,134,621,326,698,304,636,811,840,644,939,
176,063,103,890,306,704,941,228,575,407,433,003,055,095,846,849,234,190,076,
530,082,944,195,129,096,420,285,118,968,164,093,510,904,968,381,270,092,119,
850,213,367,188,808,883,020,608,615,148,527,924,247,352,501,141,618,682,787,
226,477,366,061,390,451,584,745,806,621,551,402,527,610,032,045,717,218,266,
245,155,762,120,345,949,061,201,407,707,754,283,778,387,828,405,281,923,929,
645,661,287,220,633,885,166,811,050,717,766,973,821,500,268,313,033,655,934,
387,553,047,900,712,579,812,967,350,943,775,788,989,538,943,386,487,217,400,
756,278,455,309,436,218,345,176,345,516,659,349,378,062,801,543,597,364,214,
172,861,814,401,106,854,347,493,498,705,522,858,036,246,843,313,692,030,113,
878,476,953,036,119,224,105,022,327,075,903,433,068,661,810,863,848,869,982,
927,933,358,880,796,285,317,665,102,848,292,295,243,936,488,713,333,462,365,
387,604,659,026,215,444,541,524,736,485,360,910,321,981,490,185,641,001,124,
992,432,590,515,712,015,761,923,112,395,509,902,392,718,970,146,100,929,614,
874,926,873,425,975,456,425,719,312,662,974,977,279,887,362,458,430,910,070,
747,751,755,852,016,636,543,187,849,137,348,256,485,278,022,478,022,892,861,
029,141,915,221,467,225,890,910,174,754,744,771,547,431,704,190,276,209,724,
177,003,182,397,966,044,102,437,174,081,437,578,504,878,738,547,169,726,173,
756,615,162,743,073,414,780,221,228,566,143,939,470,435,724,039,608,220,213,
278,263,336,062,301,120,202,376,557,673,271,768,827,504,310,670,800,285,077,
877,322,816,249,643,203,615,122,305,265,880,484,765,481,515,182,232,585,761,
973,300,848,307,954,066,160,245,925,054,379,780,894,131,676,051,121,436,101,
983,416,457,838,279,081,516,923,119,852,484,490,562,043,034,618,687,327,262,
590,976,426,810,408,103,483,360,999,079,912,792,145,927,227,478,359,487,437,
153,559,605,571,786,516,883,243,092,226,061,135,587,098,171,534,069,572,001,
655,703,483,380,810,764,520,076,235,548,079,035,586,220,379,382,911,329,815,
187,224,263,649,541,781,353,810,599,637,118,983,712,860,190,210,015,321,457,
402,406,556,028,643,001,491,042,782,265,009,775,285,986,810,426,344,827,119,
143,580,825,198,127,271,479,718,157,494,003,275,646,171,472,782,207,356,775,
982,630,461,974,315,432,251,237,880,639,620,157,725,850,302,351,969,477,695,
433,257,936,188,102,098,116,028,292,586,270,799,253,124,921,040,248,914,018,
811,101,386,341,784,949,111,106,549,064,272,718,491,937,717,495,858,979,744,
750,166,246,027,763,135,677,702,292,445,853,124,674,146,313,121,351,567,664,
508,344,799,112,029,721,866,134,029,172,875,113,399,369,026,515,121,584,725,
725,562,172,067,445,302,558,280,460,550,546,752,918,298,342,001,429,052,529,
460,997,423,977,951,791,575,024,053,463,489,026,028,559,652,348,351,216,975,
860,469,753,746,871,354,496,339,458,694,970,899,789,503,600,389,558,769,865,
034,599,105,567,486,136,537,603,903,658,772,107,450,793,068,573,778,172,234,
545,993,526,233,335,749,829,208,170,927,273,265,613,282,584,922,287,767,364,
096,057,278,962,383,502,121,779,346,675,255,845,107,804,617,071,953,816,613,
204,973,629,973,335,292,232,480,236,049,040,324,359,864,026,398,123,325,526,
141,735,999,143,594,780,766,379,385,175,457,400,918,622,450,169,453,443,873,
173,907,454,787,587,702,031,000,781,520,809,420,488,797,305,067,049,678,548,
547,071,939,659,485,895,046,605,268,498,367,623,491,715,899,846,783,126,228,
733,509,094,177,371,611,785,008,752,805,916,570,417,800,621,050,967,144,717,
078,197,064,549,677,499,785,952,576,801,759,508,862,042,417,719,136,539,252,
432,709,179,113,800,509,068,976,280,910,533,885,340,371,924,452,167,108,184,
143,974,520,935,381,239,665,838,556,034,589,816,486,101,866,728,084,006,744,
286,321,199,886,090,173,652,594,820,048,679,748,070,002,409,269,281,541,518,
654,101,815,373,641,395,521,376,741,122,978,216,137,369,027,464,269,472,764,
879,128,549,496,809,874,430,341,164,633,379,642,062,907,061,827,487,582,638,
165,702,649,742,479,005,543,950,042,509,233,811,390,519,004,994,027,905,429,
786,359,154,933,297,381,471,996,473,335,261,422,555,104,687,867,955,508,273,
298,853,917,164,853,719,657,207,943,056,083,646,855,724,147,060,952,118,705,
042,933,897,279,193,118,012,344,600,384,418,340,831,087,537,218,447,409,840,
020,520,280,091,527,520,943,811,373,863,566,053,450,043,715,673,644,208,520,
265,872,000,014,841,371,172,095,730,959,134,633,287,551,175,125,228,683,907,
758,618,308,665,916,247,727,547,071,109,874,375,818,512,841,516,846,761,458,
807,659,037,818,040,771,028,311,624,616,205,787,928,521,880,510,922,845,226,
614,847,221,806,721,529,095,125,114,141,265,666,639,772,805,648,056,538,913,
630,494,426,715,258,973,435,896,333,041,034,637,678,813,643,511,960,340,467,
366,835,454,758,553,288,018,153,915,779,681,371,632,493,590,709,816,057,025,
086,804,135,308,107,165,232,432,971,834,135,280,205,397,224,477,780,614,118,
567,197,376,979,179,751,008,045,146,321,540,431,507,187,389,501,293,079,871,
225,426,275,566,566,551,990,160,850,854,485,980,384,680,532,403,923,487,127,
210,487,856,593,052,264,782,027,462,870,995,195,563,781,366,609,899,396,028,
943,940,929,866,116,873,992,328,083,453,490,516,958,128,143,564,045,082,510,
800,047,701,172,890,640,022,545,388,193,684,817,578,594,471,177,422,654,882,
066,205,890,725,233,973,480,990,481,755,663,750,120,993,731,234,481,819,857,
772,313,862,006,519,754,188,265,779,997,407,180,372,177,961,453,456,252,262,
436,145,168,488,163,320,061,689,646,473,283,272,460,997,998,411,247,330,339,
634,500,261,975,658,561,574,897,454,998,288,949,759,315,465,546,727,551,216,
202,765,973,098,366,405,306,279,778,192,753,785,999,331,564,298,152,718,948,
402,775,581,511,175,821,453,331,479,137,843,694,534,448,870,298,213,405,369,
175,717,846,554,193,446,234,299,407,728,915,540,897,701,396,070,775,663,478,
521,533,516,226,084,607,769,102,495,811,232,524,589,146,596,087,038,318,609,
007,790,500,506,830,052,113,849,641,833,957,865,925,864,702,522,623,028,353,
447,341,184,426,201,033,656,453,025,628,189,110,176,777,984,918,110,295,246,
129,730,317,242,617,067,188,429,966,682,165,452,189,363,190,139,852,461,525,
099,525,304,478,686,296,383,155,874,659,810,531,184,023,813,808,967,666,862,
210,562,998,983,050,059,396,704,427,410,572,919,379,471,494,473,660,868,369,
770,383,961,833,659,472,204,286,542,908,008,346,495,691,832,794,761,699,895,
541,900,549,197,770,268,783,039,942,263,379,085,384,601,261,689,699,603,638,
146,516,468,218,664,498,167,929,876,557,999,996,951,532,162,534,263,266,718,
731,455,847,266,311,751,694,613,139,942,279,486,121,367,933,538,006,507,451,
010,140,357,450,690,862,507,794,952,917,706,276,670,495,348,486,732,382,838,
963,891,682,588,846,843,079,431,711,959,787,689,036,861,933,082,938,133,852,
198,006,963,359,264,809,493,308,795,394,831,556,739,168,771,080,332,839,940,
425,529,616,891,709,481,365,524,507,512,938,343,797,072,296,707,760,394,078,
155,461,912,497,814,287,671,094,257,998,620,696,959,447,377,692,240,233,988,
551,747,340,603,911,799,277,445,916,868,733,947,465,789,658,654,833,457,386,
673,249,377,708,195,458,890,460,393,908,283,530,268,671,400,168,650,190,785,
617,665,915,632,361,024,416,555,565,425,728,845,503,340,388,872,481,789,175,
634,543,460,170,104,193,738,119,942,496,608,504,229,163,647,514,109,453,503,
031,481,935,865,008,441,624,904,848,166,252,357,632,834,074,771,500,054,280,
206,119,072,549,554,846,044,958,734,783,163,063,973,945,275,317,037,888,465,
925,947,646,787,209,748,136,372,446,047,389,241,428,882,669,217,195,376,228,
124,413,817,339,971,155,034,336,531,743,136,763,123,115,126,197,760,617,621,
470,664,815,154,444,546,954,232,272,478,577,116,649,236,478,276,183,932,863,
407,316,945,735,286,148,221,433,767,708,462,588,388,285,988,022,011,723,506,
328,564,843,575,108,279,560,736,196,698,200,363,352,764,245,301,630,465,833,
515,744,400,707,576,016,337,755,788,042,820,052,124,749,965,363,146,041,266,
298,224,840,865,464,253,658,087,609,067,240,550,209,333,388,043,912,162,346,
635,160,114,147,592,202,473,168,721,460,987,187,053,519,390,431,668,741,422,
207,452,372,543,718,509,140,874,181,743,476,603,760,045,350,906,538,265,982,
955,657,597,052,428,799,535,405,553,108,660,809,830,722,313,594,741,878,448,
738,417,205,528,893,898,512,575,304,914,242,387,214,864,629,649,360,225,558,
888,267,374,499,223,678,637,903,428,820,986,685,169,944,599,941,458,933,097,
804,370,899,896,619,949,605,358,903,323,748,120,686,484,552,505,752,370,438,
059,223,599,272,988,831,100,181,475,158,716,021,364,118,348,232,628,190,761,
707,444,928,522,591,856,106,477,749,673,068,061,437,506,994,701,536,244,817,
388,644,269,049,609,351,795,391,974,012,589,358,998,445,400,415,314,422,470,
214,888,794,754,541,255,268,250,423,676,438,302,520,787,029,327,057,400,889,
594,624,693,364,681,671,344,460,383,095,980,914,761,008,318,243,221,495,262,
028,728,059,854,135,043,509,995,379,712,844,007,039,453,177,011,282,292,266,
592,823,353,427,102,651,053,165,444,008,806,411,381,276,624,749,895,203,438,
783,293,251,690,646,935,264,459,686,893,566,699,551,765,538,661,576,772,228,
877,775,455,119,251,720,005,560,179,548,901,470,709,145,687,376,790,075,876,
764,017,513,891,221,867,426,520,872,919,037,281,581,563,100,997,660,877,368,
912,049,606,828,121,655,460,970,114,205,581,475,077,789,969,684,624,691,026,
644,901,148,635,876,869,185,653,845,995,824,394,677,171,608,631,319,594,323,
422,426,210,040,200,461,070,706,976,210,891,163,332,321,511,301,425,098,877,
412,553,971,685,721,796,308,216,990,010,696,593,333,801,096,866,263,188,993,
617,497,017,736,712,104,001,190,655,063,330,101,181,448,849,457,629,374,276,
709,653,159,678,044,652,238,242,271,900,335,359,438,080,534,086,778,590,813,
362,740,845,974,374,337,414,653,240,467,445,067,456,278,166,364,133,585,295,
647,002,560,993,033,241,096,348,557,339,742,348,701,405,304,084,322,061,203,
597,916,197,754,242,015,384,525,023,731,654,070,993,901,166,954,026,718,765,
111,013,754,284,317,627,570,310,447,957,063,113,667,632,477,152,951,863,213,
478,777,409,282,675,952,755,887,667,078,869,680,588,454,214,156,457,706,200,
255,171,603,632,397,589,442,042,107,048,314,022,162,701,111,036,519,864,263,
279,457,534,103,419,389,879,688,002,539,606,023,914,830,857,806,848,051,199,
402,962,403,339,787,002,423,325,534,033,925,478,475,862,021,531,487,395,703,
186,019,049,151,344,145,614,485,209,957,246,062,226,628,142,291,306,102,327,
977,165,937,295,882,915,807,161,671,535,639,628,971,777,675,822,875,215,880,
115,029,121,068,753,101,151,306,703,999,621,789,497,784,456,527,580,234,982,
476,813,509,480,192,096,552,609,643,203,344,956,237,359,047,148,319,516,079,
336,376,573,803,493,836,183,030,431,086,671,995,702,280,855,770,241,666,872,
646,518,787,094,808,728,927,495,261,084,057,871,578,555,453,709,892,710,194,
905,136,511,297,370,314,496,178,566,582,028,015,809,981,514,496,639,480,462,
586,316,384,992,269,181,230,850,465,572,435,186,444,316,377,437,083,921,835,
163,125,272,037,763,091,615,491,076,382,963,952,925,376,343,041,755,039,620,
926,512,241,770,768,618,707,824,690,477,951,990,202,014,243,382,189,781,274,
649,028,198,672,797,848,254,082,144,179,250,805,372,341,914,890,970,380,116,
582,205,516,143,822,822,959,707,630,445,853,338,900,803,876,603,858,146,375,
934,370,323,984,834,934,799,333,685,055,508,949,052,433,174,229,497,097,897,
635,709,137,964,156,355,047,877,566,314,342,987,220,003,429,341,005,138,129,
681,805,195,348,237,559,916,455,764,969,723,150,405,466,399,173,327,754,405,
426,942,931,870,257,962,402,014,449,587,762,482,653,484,666,610,556,200,982,
149,949,786,911,898,708,978,504,254,177,451,453,298,268,173,684,578,449,411,
857,609,454,882,735,861,057,151,464,071,646,454,406,816,866,666,159,336,590,
611,714,997,589,693,842,854,332,205,179,738,038,423,919,759,657,797,389,472,
019,869,219,068,973,791,406,271,378,099,063,336,395,621,265,897,892,032,248,
217,870,068,895,880,899,906,841,336,345,333,636,472,996,695,526,876,068,565,
022,865,159,510,299,593,204,480,082,775,926,098,914,954,523,245,148,144,288,
548,356,726,885,805,934,857,564,776,951,342,064,662,757,654,941,600,038,935,
929,489,365,158,321,385,724,874,730,958,891,902,562,325,092,214,467,685,357,
998,574,884,119,108,585,613,054,382,389,754,850,641,591,790,668,381,416,553,
059,550,559,211,688,802,266,280,591,438,979,167,070,615,664,576,980,566,121,
225,197,004,215,556,208,857,850,356,519,255,106,325,617,925,001,207,627,650,
593,158,020,082,037,623,908,626,179,197,373,702,627,743,581,380,164,137,177,
258,690,374,159,648,832,747,855,696,995,578,179,241,901,087,415,240,578,887,
259,403,322,503,382,271,453,798,285,960,706,631,668,498,781,431,406,943,582,
433,298,943,811,503,920,026,281,297,154,191,845,125,626,501,966,778,768,795,
643,875,439,908,484,946,574,771,360,075,755,671,517,800,249,220,936,216,776,
380,201,693,336,093,157,169,365,574,523,131,975,634,698,935,380,405,249,367,
328,192,345,466,002,183,509,960,699,966,866,701,635,301,375,289,346,231,022,
634,942,408,193,890,223,512,445,325,588,066,739,419,899,566,209,985,014,829,
467,972,393,568,470,565,452,949,189,894,947,564,945,423,288,018,194,229,103,
008,279,487,929,512,915,948,022,643,695,021,524,227,589,852,301,690,065,636,
408,517,692,104,233,606,492,178,731,891,446,996,544,599,142,789,977,597,350,
944,677,951,958,757,696,950,945,722,279,103,684,158,649,064,054,860,103,307,
500,027,339,476,348,620,461,661,904,377,491,018,698,242,599,858,827,578,862,
994,991,514,600,107,087,087,343,990,674,666,704,710,891,434,320,742,215,891,
668,285,265,631,253,958,872,034,121,443,913,238,703,147,782,917,587,214,963,
578,527,413,448,663,245,687,815,881,061,983,919,242,150,308,044,275,817,391,
057,876,081,389,534,287,980,348,308,653,897,003,473,650,156,014,069,168,327,
872,352,196,724,656,156,192,687,412,493,034,816,418,451,311,847,531,822,816,
802,755,523,023,372,038,118,455,178,974,387,276,322,150,447,800,885,533,277,
299,784,751,560,883,598,245,757,123,877,986,110,847,708,169,081,229,919,281,
386,041,736,121,535,025,114,431,346,967,702,418,576,344,431,784,892,220,720,
729,949,188,247,412,023,196,622,043,891,799,424,535,785,027,520,196,226,578,
014,919,431,338,913,077,294,501,259,125,985,700,322,639,682,862,591,832,327,
290,611,332,757,627,030,047,094,428,893,899,910,273,154,172,533,259,655,960,
916,498,852,181,014,333,870,998,984,875,708,439,618,421,836,262,679,349,432,
592,178,331,436,566,750,095,805,479,399,000,424,093,596,107,130,038,744,183,
122,915,065,862,549,470,329,169,440,508,878,442,957,372,596,510,727,102,182,
294,912,102,327,117,780,576,426,231,729,201,541,901,020,938,018,090,866,475,
008,342,592,322,847,039,532,464,027,600,707,090,390,979,680,494,402,028,822,
931,247,502,847,336,956,554,897,989,450,689,463,365,139,387,287,403,246,567,
017,256,005,307,055,937,640,662,276,732,347,776,215,045,595,372,056,498,576,
733,716,726,980,634,647,144,444,685,825,409,439,536,067,644,150,064,248,223,
018,919,300,729,771,774,975,314,448,083,082,057,383,507,232,162,014,402,927,
426,495,369,098,099,282,931,150,062,349,715,491,452,081,571,578,277,555,801,
820,656,534,435,111,190,096,979,317,987,564,317,445,051,070,984,253,258,527,
304,511,482,910,865,848,483,179,649,391,746,085,681,473,074,610,607,207,825,
042,449,682,400,208,696,050,613,519,226,029,754,834,237,007,289,145,178,416,
271,333,195,316,943,255,820,741,657,022,168,705,510,064,074,031,914,583,618,
480,517,965,347,272,931,808,399,674,030,802,274,688,969,422,888,173,423,966,
255,650,005,781,235,797,650,503,675,838,734,158,360,083,805,199,617,988,335,
055,405,854,230,717,364,509,673,034,680,680,183,301,694,303,447,684,469,305,
699,035,242,449,738,302,786,726,491,179,531,958,605,226,140,119,520,516,329,
741,648,321,452,675,954,893,864,471,631,700,658,475,318,172,893,580,663,502,
774,869,119,595,104,857,041,920,552,946,719,265,696,851,818,400,510,040,192,
477,953,605,746,971,268,872,705,219,396,861,496,974,292,078,324,209,540,089,
446,498,136,721,887,355,806,294,232,186,746,503,755,246,593,038,050,222,302,
297,584,221,315,987,272,307,886,631,999,420,054,824,431,527,262,560,672,576,
171,266,996,500,658,977,671,101,247,715,894,522,075,140,832,002,891,157,755,
203,472,993,007,732,214,778,932,419,533,206,060,222,971,034,598,033,523,903,
844,061,191,609,232,853,637,582,002,986,502,940,882,983,709,911,292,390,082,
977,456,020,092,921,174,502,186,473,085,638,242,382,180,260,501,713,002,989,
661,937,551,644,733,074,900,232,193,748,516,542,579,452,515,864,337,705,538,
987,980,131,767,787,695,354,071,131,698,752,687,564,049,844,386,967,785,101,
938,783,527,862,140,833,418,929,369,599,764,415,181,045,888,919,335,127,338,
782,881,272,529,717,809,433,928,877,284,595,042,864,747,754,597,677,611,818,
361,147,846,752,707,073,492,185,865,881,326,266,898,003,500,536,848,450,652,
227,672,906,101,254,302,779,442,935,431,267,214,955,603,165,494,903,505,291,
014,505,025,086,738,056,478,844,750,654,603,835,421,746,868,279,018,907,827,
287,323,114,454,845,454,982,417,482,520,271,482,387,671,963,324,392,790,936,
134,185,191,635,973,778,269,552,228,661,248,707,954,254,571,245,993,288,334,
779,831,262,366,205,814,152,588,645,515,908,524,570,507,976,669,314,450,081,
159,387,851,778,840,166,187,341,025,667,370,567,794,636,404,303,798,703,480,
136,126,297,199,699,054,375,441,889,468,545,555,123,588,608,029,102,231,968,
349,543,163,816,464,535,599,991,830,299,145,369,009,650,513,825,954,887,183,
775,988,102,579,181,642,156,200,778,530,895,018,606,995,886,035,462,489,994,
144,763,616,628,425,717,567,286,517,062,933,657,379,386,712,299,431,951,396,
241,442,586,571,402,943,450,961,557,107,831,417,671,538,592,318,818,143,801,
137,474,577,045,239,282,908,191,563,284,866,422,643,986,110,861,902,693,099,
543,721,986,028,430,122,360,199,794,533,853,362,951,108,327,939,777,871,661,
065,385,005,723,353,803,782,027,786,759,654,028,925,367,282,652,361,361,782,
081,705,550,811,042,072,138,779,631,849,279,009,659,287,379,669,018,450,184,
543,007,848,486,270,923,764,568,898,800,712,834,131,282,657,260,483,224,944,
235,757,301,187,328,395,165,292,473,449,250,538,753,056,020,050,115,900,886,
930,887,938,444,210,581,387,734,919,228,416,561,443,889,223,798,483,125,088,
603,577,090,527,848,288,030,941,405,913,677,414,454,506,200,241,573,498,519,
711,460,818,227,065,578,016,986,196,418,666,643,999,165,629,496,189,797,902,
050,611,914,919,051,073,142,074,698,045,623,388,104,143,602,094,668,767,069,
257,932,670,843,798,450,708,213,336,793,989,904,227,319,450,905,373,469,596,
807,328,604,338,564,002,575,682,782,470,053,886,461,733,634,938,549,478,027,
913,668,318,891,125,857,028,434,526,671,950,066,427,111,416,782,657,860,945,
586,894,865,314,574,821,296,123,227,164,392,214,388,488,661,665,363,571,524,
323,824,572,306,893,188,372,431,068,506,743,710,853,527,710,351,911,932,275,
107,659,056,530,534,770,176,860,163,454,437,630,325,567,304,409,211,752,673,
082,539,284,547,835,252,105,415,272,334,237,238,633,317,912,259,909,354,304,
422,507,139,742,011,440,651,323,160,075,344,336,164,457,125,303,359,264,241,
906,400,364,842,106,007,783,059,253,601,220,240,336,511,562,511,238,333,152,
468,728,887,488,295,261,854,248,614,637,587,289,808,444,461,372,836,790,328,
024,866,712,301,029,161,042,035,987,397,720,816,473,103,300,958,033,806,758,
201,553,227,414,123,351,406,431,281,896,373,524,626,503,669,165,080,635,534,
560,931,766,106,958,589,427,187,024,499,503,564,335,553,850,378,556,595,559,
412,117,212,407,282,164,882,486,926,139,064,928,135,338,177,937,397,270,737,
853,774,060,099,541,392,518,752,696,196,367,544,174,691,713,318,192,377,668,
568,410,125,794,079,805,625,291,917,302,221,473,173,834,582,895,120,087,789,
453,709,948,709,582,102,914,533,127,114,494,345,182,029,655,459,815,135,722,
251,698,180,775,041,088,975,073,004,963,413,197,378,293,149,040,799,853,531,
450,579,031,366,271,956,646,019,750,927,245,766,247,166,711,837,243,129,001,
330,910,436,614,188,902,074,574,675,825,988,245,740,092,325,093,734,357,625,
823,650,761,454,382,810,434,242,263,071,333,603,905,502,182,612,989,421,702,
244,698,277,760,470,629,069,545,568,258,260,526,226,084,288,947,157,225,865,
256,287,025,670,644,860,057,625,604,784,148,056,957,731,012,340,576,831,106,
542,436,220,236,210,664,129,932,240,367,221,827,292,402,007,423,621,919,167,
593,270,678,493,023,575,591,369,143,675,829,450,693,176,014,085,863,814,563,
953,960,802,430,606,023,254,409,565,866,502,735,710,463,099,861,033,323,354,
496,754,780,261,555,081,489,630,961,437,150,175,378,857,975,441,900,517,047,
842,388,448,943,533,922,407,648,883,814,908,807,601,890,943,333,965,515,022,
856,344,406,289,493,544,982,052,999,544,848,431,315,452,557,354,598,377,663,
146,013,374,351,864,044,239,333,627,691,917,842,432,300,918,528,324,860,418,
097,654,072,812,507,928,014,781,189,259,983,092,018,592,055,704,643,756,171,
424,297,317,887,485,463,158,023,838,624,556,716,658,855,766,729,296,626,485,
251,190,029,769,474,755,097,651,575,873,361,678,744,243,237,607,198,860,178,
944,214,549,479,057,397,606,627,915,334,183,323,220,440,422,015,397,763,428,
169,464,700,366,243,112,848,894,908,325,424,455,574,760,261,601,306,347,685,
900,520,397,739,522,340,645,334,026,536,979,853,040,991,751,584,029,060,475,
752,259,014,050,333,922,573,087,181,437,288,655,487,011,976,691,959,506,689,
353,099,521,722,784,804,415,172,006,751,004,173,038,592,777,723,555,359,076,
667,270,305,035,067,188,880,898,157,855,108,454,292,321,873,163,673,094,853,
147,878,762,384,431,385,757,725,332,829,707,739,233,711,392,534,275,107,777,
826,213,184,326,978,375,710,714,495,002,829,183,472,580,069,499,781,499,833,
932,817,738,426,486,051,719,704,240,038,080,435,077,688,606,445,240,569,593,
177,633,153,084,277,991,050,612,535,890,432,757,591,715,997,767,556,479,788,
714,040,511,617,799,836,347,560,551,687,801,494,110,729,040,191,132,597,104,
929,179,687,133,995,093,583,334,586,433,480,391,565,328,095,504,915,821,068,
794,058,474,972,099,050,757,356,360,464,259,409,550,892,502,697,860,943,156,
153,447,478,752,659,898,711,300,160,904,570,344,075,756,835,988,829,243,960,
592,273,994,842,390,354,131,278,643,865,339,924,461,604,101,733,484,437,986,
745,219,158,224,340,785,381,039,259,167,398,373,230,787,937,211,079,980,423,
103,104,653,806,849,978,077,045,881,264,973,908,178,178,400,349,311,285,393,
092,449,983,644,845,040,944,788,399,168,683,328,948,044,525,644,201,262,335,
228,425,594,128,347,100,491,803,514,832,495,030,218,188,382,130,587,986,368,
417,836,461,342,935,329,289,591,334,649,820,784,101,557,099,818,217,098,767,
870,147,085,977,387,272,070,273,653,754,427,042,779,453,658,727,000,220,314,
807,152,655,104,698,812,978,089,717,146,925,317,338,179,516,293,113,234,321,
892,955,142,842,065,728,384,601,094,545,725,233,282,709,995,179,413,419,102,
446,025,700,617,483,162,550,755,026,680,270,744,547,291,359,367,230,843,228,
040,616,551,770,958,527,115,233,412,293,513,274,318,229,114,113,425,293,426,
043,457,361,963,779,650,936,493,226,607,282,217,381,682,415,269,727,700,064,
928,863,392,682,087,727,581,554,287,353,586,920,617,664,090,205,829,695,799,
731,597,571,420,143,743,131,878,307,226,147,494,468,423,996,270,159,019,965,
386,288,142,456,883,221,350,781,341,081,199,428,528,696,182,451,129,309,506,
683,861,769,159,575,379,604,056,643,448,898,107,504,593,851,888,943,891,477,
924,229,113,921,967,837,106,195,321,199,428,518,734,478,119,629,818,095,361,
101,647,365,387,416,514,289,235,798,219,484,595,954,610,406,728,811,507,465,
807,906,631,631,026,668,487,062,861,948,263,738,618,980,471,256,746,291,316,
005,796,511,889,131,255,256,476,300,874,776,037,156,092,972,159,861,384,321,
429,684,473,585,468,147,940,897,859,848,050,940,749,352,267,897,378,006,145,
321,789,570,924,878,196,334,482,089,371,978,025,341,323,565,183,792,584,946,
187,972,768,467,428,322,419,270,704,250,783,138,603,408,391,005,239,383,498,
720,430,287,393,279,906,944,293,667,447,936,588,740,261,979,410,435,150,868,
106,561,890,358,224,422,319,604,960,577,043,772,488,513,233,940,354,857,605,
192,162,367,240,418,980,898,422,720,546,265,192,055,142,257,726,604,096,610,
825,537,181,748,269,030,278,143,656,992,407,546,777,875,246,297,135,647,285,
231,305,082,388,249,347,807,374,273,687,188,609,287,268,516,941,160,437,040,
144,271,244,957,484,776,934,714,382,699,537,370,398,237,271,172,766,586,286,
316,475,126,621,866,189,938,802,212,111,512,575,585,468,520,384,244,106,408,
762,044,537,477,459,276,069,715,970,322,108,571,821,986,738,489,289,850,167,
011,828,421,874,191,183,534,583,891,214,650,031,097,086,422,267,153,729,059,
278,410,124,605,867,204,491,725,963,352,442,282,515,103,459,496,931,807,977,
943,464,485,951,024,882,255,074,864,996,682,342,803,185,898,520,744,275,367,
283,467,707,714,038,414,547,372,846,228,853,527,165,696,767,055,878,476,058,
204,978,946,550,230,150,901,371,478,694,151,811,330,493,119,760,301,203,592,
719,092,919,240,466,809,156,940,042,811,721,606,028,430,979,200,083,268,267,
067,544,528,455,113,866,255,289,387,676,732,598,923,557,076,794,099,717,640,
692,780,973,639,325,095,330,297,313,890,562,046,419,552,220,440,365,280,445,
721,212,897,408,832,811,845,097,319,947,943,635,340,860,669,658,346,817,916,
810,748,962,968,844,232,211,427,329,838,077,381,543,981,904,799,582,312,637,
728,614,313,024,406,825,693,586,851,111,074,036,892,013,279,639,009,784,135,
125,732,716,121,563,938,128,165,989,040,264,684,758,132,944,477,040,703,335,
887,960,668,499,448,028,052,514,154,270,388,277,140,380,700,893,067,118,166,
073,509,562,634,500,432,742,588,538,077,177,201,158,237,255,575,854,160,219,
127,707,159,778,857,880,433,087,359,200,376,636,875,959,261,233,062,645,521,
784,640,233,885,075,899,531,282,148,322,711,696,101,566,975,248,284,247,318,
461,910,189,887,864,551,684,974,790,166,425,863,941,158,405,366,717,876,276,
335,937,778,934,464,653,148,877,047,932,189,810,348,916,107,104,471,299,500,
378,691,825,806,327,695,654,379,822,641,030,921,842,134,805,259,523,001,862,
650,963,520,366,028,071,254,142,393,988,957,939,066,342,143,785,788,806,009,
984,150,571,558,946,208,133,568,896,200,506,905,686,674,280,057,472,982,861,
968,953,012,520,488,757,753,101,920,138,667,228,066,454,777,712,035,478,899,
688,644,107,558,405,617,932,501,492,088,295,006,928,255,732,481,363,680,947,
872,578,485,058,877,366,295,712,244,317,737,471,868,571,322,869,768,195,459,
805,972,069,793,049,011,875,341,846,364,513,951,536,346,863,799,352,885,692,
621,907,760,948,103,419,979,599,434,263,860,299,585,840,527,626,679,665,599,
484,971,777,078,625,328,780,525,977,724,125,823,898,334,644,267,925,532,236,
095,861,239,106,140,571,211,145,148,772,633,601,356,348,973,707,288,167,878,
765,081,249,521,056,392,419,516,952,357,624,106,745,081,611,570,839,773,068,
671,651,775,704,387,391,357,899,880,137,265,768,806,182,595,824,155,161,616,
687,068,536,855,061,885,073,400,647,427,877,330,728,674,998,531,845,757,395,
128,546,727,314,314,815,983,880,313,454,665,875,899,540,029,961,987,292,283,
374,415,345,071,659,166,183,125,352,274,694,948,069,971,409,090,137,237,729,
327,511,916,736,420,147,052,457,375,105,521,141,985,030,650,052,643,498,141,
262,889,852,542,598,853,130,357,259,450,874,821,592,472,676,212,570,705,877,
467,128,140,485,469,344,606,330,480,588,331,438,936,882,603,326,497,408,210,
635,181,732,294,539,304,255,527,937,466,924,989,928,352,693,679,291,327,666,
066,276,930,701,358,866,263,098,043,645,032,460,170,918,417,726,315,247,467,
158,845,196,987,506,455,332,956,990,112,315,303,963,917,570,989,114,012,276,
932,521,812,586,032,772,340,880,260,096,708,871,893,384,595,281,412,984,111,
761,077,299,283,753,696,796,551,454,741,840,027,914,793,639,081,622,400,073,
006,384,160,848,368,283,251,682,030,211,253,207,984,408,866,802,180,486,338,
656,957,134,646,566,971,725,550,962,077,658,250,230,312,818,682,842,983,177,
372,073,638,270,848,636,896,994,406,246,720,124,500,178,470,340,330,145,078,
969,331,904,757,660,384,589,817,538,999,600,107,702,648,435,139,509,645,300,
426,322,297,520,545,125,599,022,197,870,275,925,690,910,808,301,238,432,145,
608,594,388,048,175,069,387,338,850,544,939,993,802,185,423,625,553,550,159,
245,542,079,736,599,728,872,878,577,413,426,581,130,356,783,655,343,755,714,
197,565,633,383,420,539,162,406,763,688,500,685,542,712,879,034,437,109,025,
012,059,243,517,266,389,731,112,934,071,286,395,660,663,335,164,898,035,361,
636,028,460,199,800,336,659,467,634,654,958,166,506,514,010,872,294,931,791,
752,807,824,096,411,416,976,356,770,752,026,207,160,241,126,759,577,857,043,
790,132,563,299,528,483,204,384,887,283,912,182,139,201,969,962,957,184,514,
260,632,017,296,236,127,619,183,259,009,806,090,455,612,448,253,625,430,963,
193,251,315,303,357,327,551,181,112,597,788,035,533,046,437,042,757,753,599,
229,326,736,366,363,723,390,087,272,748,508,565,508,190,379,633,102,533,942,
238,736,670,916,779,614,100,889,277,605,563,010,821,707,890,976,566,633,427,
083,781,511,070,436,367,677,029,794,657,428,076,222,037,077,706,090,230,839,
147,450,868,183,497,047,450,407,326,949,546,700,033,081,286,317,827,165,531,
456,310,403,449,529,082,304,055,118,768,133,613,586,185,364,216,765,465,405,
799,546,825,462,211,730,569,625,466,398,896,987,367,047,723,846,031,412,238,
778,493,515,517,429,452,070,432,664,602,388,600,679,424,730,695,839,842,600,
479,786,352,101,499,449,648,568,073,972,947,529,815,480,821,000,039,545,095,
914,389,926,477,871,424,760,868,157,188,498,696,786,004,129,477,106,948,318,
899,583,092,621,330,700,790,613,603,518,302,830,021,956,761,202,103,996,847,
429,428,487,106,319,564,009,659,885,614,331,580,307,294,723,433,167,706,561,
005,552,609,770,672,500,306,394,261,407,291,525,745,399,696,786,469,875,960,
164,851,287,429,262,546,456,237,553,553,510,075,938,275,474,222,509,181,430,
311,141,970,646,526,749,118,789,732,635,881,130,607,114,737,920,965,830,287,
452,484,118,122,385,089,266,778,720,484,943,158,423,758,578,422,210,896,398,
427,006,815,775,360,313,527,926,034,189,852,008,603,853,656,822,718,431,477,
967,585,969,407,111,483,776,411,898,302,120,252,957,788,409,575,458,284,732,
383,278,807,854,444,307,910,530,905,198,175,478,419,820,811,258,587,725,020,
483,470,657,578,471,642,557,247,521,651,167,622,084,803,503,748,814,699,745,
766,666,963,228,611,850,992,852,246,646,112,028,921,937,556,012,251,058,237,
202,302,837,442,979,200,392,376,563,923,852,476,915,625,337,568,548,906,365,
582,025,448,075,128,217,615,385,594,027,986,433,913,876,187,187,475,435,036,
890,709,249,393,696,935,610,734,558,195,683,517,347,066,621,786,031,807,860,
362,286,025,593,612,136,939,785,511,057,363,080,731,967,872,294,208,071,556,
946,587,679,729,037,516,528,478,314,023,633,184,904,810,908,591,376,946,256,
861,353,915,820,525,866,988,379,139,998,759,746,094,614,305,333,627,817,263,
172,622,622,644,112,342,358,457,745,073,095,975,490,243,652,476,359,973,325,
331,890,366,184,135,286,289,227,858,639,446,588,409,515,446,350,144,099,716,
070,332,007,954,153,548,569,873,493,252,540,669,995,117,240,420,635,867,426,
872,713,382,989,378,531,961,012,814,404,217,450,531,712,559,447,335,801,481,
906,871,680,079,976,955,102,207,253,994,636,265,295,881,612,222,122,139,452,
837,292,862,224,496,747,914,877,734,796,089,938,198,701,978,169,622,696,144,
413,333,115,670,896,001,105,263,094,552,040,942,651,921,006,376,026,783,930,
454,856,294,411,770,961,750,545,095,688,537,458,266,537,760,450,286,620,745,
635,890,154,823,154,180,356,830,444,503,439,982,653,218,446,320,084,230,682,
524,809,786,562,027,628,019,219,738,631,302,381,292,773,558,456,338,222,284,
954,227,426,602,706,160,533,279,568,613,119,870,239,234,496,548,444,622,661,
399,948,645,788,816,571,518,068,562,493,015,402,271,985,736,473,093,771,136,
527,751,179,624,644,931,815,020,878,281,711,518,243,432,694,538,238,202,528,
211,296,995,830,739,881,014,839,459,421,997,430,047,501,174,609,077,443,266,
159,968,186,215,851,828,222,113,967,168,391,626,849,250,376,810,874,332,332,
180,891,547,061,768,894,704,529,298,573,705,922,433,611,133,581,564,939,396,
678,425,156,815,356,697,080,482,808,521,123,296,181,370,002,825,825,091,156,
493,400,345,992,514,909,380,252,232,558,514,719,186,682,388,086,594,229,070,
784,556,554,259,802,456,597,524,980,259,407,968,024,156,063,074,593,539,629,
322,554,290,890,339,431,912,029,903,697,697,350,681,272,534,422,808,212,783,
371,608,289,756,788,483,176,288,664,297,812,957,225,400,197,680,544,858,539,
607,664,056,979,628,535,266,080,957,984,390,362,999,281,092,980,523,424,714,
512,931,727,949,538,209,746,031,647,989,329,877,776,958,574,641,311,245,998,
203,752,346,363,672,246,301,204,441,746,592,670,487,425,141,649,691,530,896,
419,457,359,285,517,712,874,777,337,592,349,944,778,176,275,776,633,391,131,
056,132,709,452,917,860,932,872,217,023,589,564,422,432,481,561,295,599,350,
948,788,895,712,995,397,462,883,595,551,985,568,374,705,851,110,427,117,431,
309,737,206,656,792,317,942,379,776,144,867,132,194,457,317,707,699,551,528,
671,707,541,365,792,901,276,285,975,789,932,474,273,976,474,801,297,938,534,
444,563,493,368,063,238,718,301,445,116,086,018,243,463,317,780,977,226,324,
853,085,493,848,209,937,797,655,186,115,086,873,457,446,109,758,936,606,237,
060,204,727,140,232,339,278,271,185,805,552,050,242,469,079,077,484,681,683,
311,803,417,598,200,099,634,210,348,541,642,503,496,745,974,649,614,206,934,
743,244,385,222,453,008,992,303,385,247,494,407,345,387,044,082,243,136,028,
535,085,127,610,359,162,279,569,318,656,659,452,989,199,132,152,578,328,519,
155,985,787,719,016,045,388,262,204,513,749,217,820,906,650,944,684,236,923,
117,128,832,234,595,272,103,230,833,368,863,202,927,157,653,294,586,509,069,
492,685,606,472,458,761,017,582,115,277,541,736,591,071,711,936,293,913,497,
851,704,717,697,305,868,962,988,616,517,686,446,681,778,857,948,650,651,598,
448,374,209,226,309,457,554,090,991,731,968,230,188,720,433,143,480,811,156,
686,355,259,462,915,380,139,478,105,381,599,062,907,291,156,674,572,073,616,
264,184,473,324,733,675,972,630,428,145,595,865,851,631,497,623,655,599,810,
753,982,917,235,723,450,274,633,190,317,769,654,610,764,330,890,586,675,244,
195,044,851,757,949,332,957,997,076,758,592,356,661,603,836,713,283,292,115,
530,859,488,323,872,858,385,354,255,189,671,149,785,766,756,493,384,556,501,
217,925,374,389,609,083,789,873,081,394,065,985,627,752,758,278,401,184,220,
264,512,060,219,101,128,056,789,276,028,782,721,034,067,457,752,974,166,743,
966,777,342,675,805,376,401,418,015,154,086,338,568,628,103,012,410,387,088,
342,978,853,670,343,375,996,407,743,917,507,643,820,596,545,765,001,925,604,
907,155,504,959,587,719,689,279,517,088,579,568,617,169,637,707,401,626,753,
972,493,001,675,741,439,291,503,036,205,151,732,385,609,638,308,217,660,425,
700,592,314,236,122,100,396,504,920,111,394,336,022,793,498,508,884,427,056,
670,083,698,759,534,288,054,535,899,367,086,952,025,681,718,078,148,870,499,
201,307,197,347,783,163,738,553,068,792,591,688,667,890,810,031,720,633,737,
533,254,215,742,696,311,572,833,426,741,417,191,061,249,276,683,089,427,431,
030,628,471,052,506,789,101,414,532,122,063,340,114,597,273,028,788,124,821,
049,763,130,255,336,026,526,184,681,549,933,647,882,153,726,096,867,973,830,
693,219,260,191,798,781,893,129,482,307,471,185,813,707,049,945,533,960,486,
605,428,960,908,642,465,744,684,034,797,946,878,774,806,532,147,074,208,165,
779,596,116,968,791,465,504,543,075,654,902,775,721,791,737,926,087,020,588,
223,276,759,877,280,602,100,809,082,352,626,680,418,267,006,773,886,637,299,
842,581,684,029,214,105,261,963,209,029,863,111,029,703,278,875,889,538,187,
857,105,175,173,012,174,279,238,428,454,563,289,590,726,942,951,720,676,404,
959,624,767,243,808,459,566,664,415,831,422,042,844,854,295,809,602,488,057,
202,750,082,629,649,374,859,760,402,177,668,408,909,664,054,346,580,719,475,
599,402,579,955,162,737,021,743,755,580,114,774,563,962,892,337,505,958,143,
151,416,946,709,715,329,786,058,775,398,201,723,355,264,818,161,798,167,010,
600,032,697,785,485,376,225,919,858,403,763,909,717,314,968,430,506,169,698,
859,852,068,979,854,231,109,878,901,014,061,811,252,181,865,800,995,035,639,
913,802,157,751,447,073,700,127,516,467,643,689,117,025,078,760,409,701,749,
212,259,493,852,060,147,725,688,270,150,895,510,650,210,147,023,748,272,240,
528,348,593,201,553,027,156,878,700,907,391,509,180,806,954,144,147,893,863,
097,669,160,416,889,111,321,215,716,592,897,159,324,396,911,492,649,586,484,
248,154,801,080,340,754,957,837,070,539,835,181,922,320,704,303,480,072,908,
756,792,459,924,607,674,898,289,551,487,504,620,735,574,531,391,219,083,836,
503,801,430,485,492,816,335,148,281,226,918,207,831,748,936,978,009,546,683,
921,885,895,751,654,109,740,510,882,722,987,892,332,431,402,842,750,169,977,
535,678,785,330,089,888,663,402,142,807,659,110,321,294,984,550,289,601,471,
755,661,837,554,882,281,646,230,028,613,022,589,630,699,877,433,479,703,325,
590,485,620,905,007,790,021,225,299,314,875,589,695,224,915,637,684,122,134,
357,577,445,046,019,409,713,912,558,199,338,512,124,574,824,905,633,613,478,
983,050,572,855,920,928,422,431,806,163,478,411,273,725,403,338,109,471,945,
215,933,283,841,318,338,987,065,646,810,367,597,513,377,937,691,634,605,939,
946,043,717,307,438,675,685,473,188,242,958,653,106,250,177,003,483,302,203,
186,685,669,494,399,149,082,574,918,255,523,435,632,118,603,924,676,488,802,
723,114,828,767,234,700,104,650,931,732,850,784,774,584,572,552,810,611,126,
612,364,584,240,569,939,727,401,196,586,147,936,196,231,266,327,669,865,198,
252,261,039,638,868,594,806,923,360,511,401,572,393,760,949,452,659,455,072,
469,420,105,511,463,840,204,662,328,093,721,125,265,237,808,034,961,335,945,
378,002,974,867,561,481,959,147,128,941,201,184,293,164,893,853,201,382,873,
986,599,455,389,272,144,754,629,730,278,509,266,295,653,860,691,477,620,033,
095,847,007,655,495,269,963,499,272,165,620,172,709,039,719,167,715,940,518,
053,529,445,607,832,632,962,605,229,370,438,091,549,009,305,354,083,655,662,
119,636,186,232,727,045,105,610,170,218,890,839,061,524,377,615,545,738,789,
119,996,060,162,041,221,887,759,310,879,716,787,707,041,401,930,605,289,841,
343,158,637,816,835,326,512,004,114,766,042,480,075,440,261,021,476,988,072,
053,145,586,975,313,623,726,543,414,779,358,210,836,195,786,283,239,149,413,
689,600,182,321,070,348,098,249,583,791,082,218,009,284,363,703,888,681,466,
315,432,885,826,935,505,346,289,476,934,694,501,018,690,258,692,146,883,054,
895,801,362,077,062,986,605,011,603,279,274,869,700,066,991,553,703,143,836,
176,384,751,173,907,557,194,736,468,696,108,682,486,413,448,596,350,995,913,
703,394,832,448,207,068,975,143,405,289,257,419,824,288,190,366,870,576,271,
688,740,641,793,358,362,017,368,688,790,813,378,952,448,928,810,634,714,199,
131,710,266,154,858,417,018,504,649,943,511,032,953,791,235,685,603,456,490,
343,164,998,612,890,475,263,416,867,508,088,116,451,541,118,586,879,462,313,
357,149,699,824,382,078,015,161,562,524,212,853,609,268,020,239,684,518,555,
990,161,125,659,498,085,028,414,270,108,765,120,572,269,026,703,502,597,013,
874,172,830,310,505,709,108,479,860,913,571,797,367,992,815,301,757,342,802,
225,032,835,379,353,668,195,862,651,523,743,340,937,170,011,666,549,631,968,
404,081,407,103,052,731,507,031,279,434,803,296,149,789,140,234,253,498,050,
457,554,180,911,313,031,213,828,896,900,178,108,375,395,256,699,289,158,577,
946,317,648,678,651,293,304,594,527,194,574,527,378,468,641,897,573,804,589,
150,450,197,568,606,125,294,683,470,025,480,530,090,109,141,804,980,618,292,
865,293,989,414,620,606,754,497,323,378,022,850,963,171,570,330,888,801,558,
476,474,271,824,028,781,491,595,574,506,643,845,657,010,454,639,323,635,593,
388,256,286,212,989,345,671,702,009,815,080,601,491,693,904,533,042,824,293,
257,398,329,587,483,232,961,381,989,829,183,110,848,620,260,414,556,921,737,
236,162,293,284,866,943,501,410,428,173,757,978,437,235,379,478,801,732,019,
556,420,885,341,330,178,027,324,261,208,242,954,571,826,105,240,956,516,424,
653,741,921,644,850,133,224,115,144,238,265,701,416,572,516,231,897,756,076,
332,485,035,676,665,449,724,762,226,485,976,785,225,422,343,584,573,852,207,
353,577,649,250,919,134,062,324,174,376,979,982,225,341,436,874,132,464,117,
489,299,044,258,554,486,929,819,218,379,708,239,335,349,316,231,424,420,553,
724,628,227,223,957,905,355,823,741,763,031,846,558,245,921,148,035,431,126,
245,512,234,342,138,237,250,631,430,562,136,265,046,793,454,834,207,490,906,
174,161,868,436,491,734,547,153,083,394,452,074,805,444,259,537,646,278,960,
566,266,607,737,934,069,486,754,399,438,025,716,477,822,511,866,289,301,493,
846,964,594,496,123,314,663,905,261,362,515,783,426,345,160,370,648,244,323,
387,415,430,300,811,661,816,715,173,418,936,555,766,203,276,202,966,489,524,
940,582,844,482,730,707,217,370,013,956,643,123,136,763,222,573,204,873,197,
632,966,304,715,649,072,859,813,516,925,205,841,997,177,599,397,561,554,773,
943,487,688,406,540,318,510,016,224,707,861,098,683,485,955,800,113,270,184,
428,367,498,570,681,696,077,685,132,047,780,151,197,209,795,835,908,869,032,
313,746,054,016,503,572,687,204,844,872,462,641,779,274,072,576,632,487,761,
458,064,433,812,900,420,686,876,321,618,325,356,264,940,163,067,570,067,295,
129,601,673,185,040,760,746,779,388,383,600,627,291,336,133,817,272,030,222,
397,499,137,268,497,451,700,534,127,893,560,330,417,177,467,384,679,722,499,
879,205,101,331,809,381,475,756,486,662,188,107,717,548,500,186,308,275,877,
593,544,595,339,076,445,311,320,150,952,606,259,645,950,689,361,053,007,761,
079,007,706,044,811,032,285,254,784,234,861,151,700,814,192,021,502,940,868,
621,486,511,443,728,995,519,246,476,521,442,918,150,708,961,461,341,650,832,
680,128,078,829,260,036,962,773,739,352,658,432,236,035,275,659,612,167,993,
331,142,653,917,334,523,552,472,349,853,408,705,356,729,796,392,790,264,786,
254,634,548,074,608,171,361,008,453,249,118,698,198,157,734,665,793,123,714,
689,092,158,460,206,392,346,570,198,382,029,575,175,342,447,980,389,044,489,
979,786,613,685,252,829,140,087,300,867,056,689,323,874,913,944,030,767,177,
695,238,492,000,651,096,694,855,977,514,729,410,101,665,922,369,264,977,086,
969,301,074,722,107,464,095,065,066,646,386,642,126,112,028,322,271,775,457,
696,930,786,339,901,380,603,055,768,873,845,545,965,468,716,251,912,109,063,
523,486,512,441,542,138,444,709,788,897,061,673,179,272,174,251,444,484,362,
402,877,633,464,754,670,514,028,506,324,392,522,412,297,128,665,860,622,303,
144,150,999,677,562,208,813,520,043,294,792,349,424,889,657,741,533,254,591,
630,020,574,340,526,287,671,772,232,679,691,593,232,381,967,739,472,367,045,
571,683,804,000,385,028,564,720,274,260,288,839,530,784,346,273,030,375,696,
031,244,111,412,968,717,683,623,271,726,175,609,246,456,209,942,401,425,474,
335,003,312,997,397,918,788,545,881,161,340,252,755,137,947,907,006,203,219,
784,810,994,125,037,688,298,942,893,269,411,980,262,076,213,508,208,061,566,
832,563,028,912,610,731,802,992,649,480,603,461,980,054,585,248,817,190,688,
887,291,299,101,104,933,181,481,480,657,510,192,673,556,719,750,582,244,073,
066,960,336,100,274,840,032,499,259,135,678,864,849,044,456,080,075,379,548,
275,535,900,621,889,929,624,243,628,672,281,121,750,892,430,589,043,217,563,
974,201,553,815,479,142,029,039,575,576,711,226,203,926,681,384,319,816,989,
673,959,471,634,936,207,899,602,632,306,835,045,041,875,649,402,757,980,069,
686,471,811,249,111,966,756,949,438,088,124,278,328,562,659,665,604,360,497,
755,316,385,370,514,477,634,418,370,304,432,888,631,143,736,003,806,882,792,
016,122,184,732,836,466,010,874,995,599,105,122,158,251,721,210,860,397,664,
429,692,513,548,124,195,551,323,244,265,782,883,923,246,843,649,125,715,784,
124,941,367,564,102,854,613,203,001,793,898,929,032,099,594,367,938,866,201,
186,425,165,447,443,339,593,192,019,177,215,353,290,524,953,170,504,181,656,
800,956,510,557,051,711,961,152,640,321,498,775,566,404,542,813,746,231,258,
634,275,478,648,814,023,067,328,981,279,378,327,549,264,693,553,869,873,092,
928,192,489,314,786,526,548,320,137,393,308,795,577,381,834,049,684,041,267,
506,075,736,420,587,337,353,647,292,313,559,849,885,326,349,382,859,595,080,
989,618,093,971,256,622,923,186,082,457,750,101,420,208,337,061,303,642,551,
515,205,750,067,520,975,763,180,079,826,641,400,182,402,059,087,937,130,859,
805,883,060,320,472,033,434,582,642,436,335,915,013,153,982,629,217,996,786,
800,011,695,813,352,929,698,309,606,913,520,180,859,183,952,709,870,044,009,
347,793,811,217,837,248,564,214,528,989,936,209,526,171,353,661,016,331,128,
749,624,321,232,408,097,828,372,327,782,520,411,120,953,765,691,899,965,615,
610,049,685,941,755,726,454,823,899,530,381,593,593,838,605,124,201,132,898,
056,172,651,609,060,335,545,704,535,124,390,328,946,294,635,222,137,087,215,
993,552,689,584,581,389,354,756,219,197,132,612,417,626,380,415,052,763,487,
183,806,063,120,567,218,605,013,724,170,865,445,001,516,551,977,787,937,982,
924,342,556,293,492,962,360,738,817,170,219,086,935,171,749,228,745,331,307,
313,089,131,026,604,046,128,151,377,815,335,025,269,051,540,549,292,612,427,
716,107,567,894,765,672,609,755,463,534,220,245,832,421,887,897,995,733,285,
007,508,298,957,544,086,354,635,502,259,117,739,520,119,621,967,096,516,528,
510,087,208,987,904,698,387,305,414,423,888,348,850,515,723,592,708,156,338,
433,426,972,015,514,209,264,868,091,156,062,638,924,329,735,885,908,044,589,
970,832,998,034,246,162,820,514,375,959,877,566,971,622,296,289,640,412,443,
950,738,077,348,103,075,733,711,081,823,482,267,766,455,043,968,417,594,949,
300,932,576,094,944,588,652,385,353,538,143,293,154,816,518,635,587,472,763,
386,647,857,634,989,448,400,089,722,317,264,261,188,094,279,517,362,258,148,
459,746,670,711,584,881,196,398,029,319,413,218,045,567,262,138,069,484,084,
720,407,767,963,043,401,365,283,243,812,614,697,581,060,225,107,158,038,311,
019,322,340,394,940,953,291,976,117,819,742,420,932,386,391,722,650,920,479,
258,009,924,814,358,086,212,026,481,600,658,668,786,164,060,257,449,989,016,
976,315,368,898,268,240,950,007,084,119,333,579,087,225,490,627,308,244,626,
794,533,302,345,042,877,365,386,094,132,328,534,557,925,885,814,885,302,093,
340,441,764,863,895,819,500,117,617,542,676,899,638,158,488,796,527,902,100,
271,442,314,691,852,162,509,779,904,035,149,869,390,307,577,221,021,835,204,
311,237,593,848,272,092,846,952,621,846,196,637,788,790,644,421,052,123,444,
677,522,839,369,780,149,723,408,969,252,665,857,918,362,817,580,954,428,539,
627,669,715,107,778,031,429,506,410,443,351,011,847,474,499,732,321,876,469,
881,288,603,644,609,042,769,324,893,817,104,010,763,465,348,132,975,167,825,
975,591,360,933,129,402,489,049,550,249,991,318,352,736,507,304,157,734,460,
228,146,564,894,481,678,420,760,792,359,273,622,583,800,130,714,754,667,125,
417,495,331,111,540,718,594,370,756,720,055,766,772,096,739,930,273,446,583,
144,117,910,749,980,184,215,436,942,479,534,031,265,796,545,675,656,513,938,
890,905,652,705,298,601,195,117,139,803,922,273,307,243,517,195,386,036,239,
696,385,164,572,148,332,791,930,067,316,845,416,704,750,221,830,678,873,823,
309,450,682,306,629,771,145,491,935,833,847,234,100,637,674,453,694,609,964,
375,390,537,685,000,250,974,464,270,659,174,654,470,805,676,205,917,845,706,
582,749,065,029,465,641,902,763,162,712,781,179,191,201,561,101,665,430,755,
612,903,715,030,979,306,247,881,327,991,529,022,691,821,611,433,587,678,401,
532,327,407,461,572,252,410,715,641,616,974,463,656,549,975,239,820,645,486,
823,584,257,175,755,886,315,245,544,851,181,722,575,824,710,337,277,134,945,
839,866,522,394,878,706,054,144,140,009,050,647,836,663,157,354,587,123,880,
980,385,255,212,246,444,450,514,048,585,058,679,890,618,475,097,482,642,265,
609,616,214,222,353,175,368,397,158,868,291,724,216,012,035,850,565,630,609,
174,583,246,604,343,742,946,564,991,048,606,509,110,041,305,956,379,907,534,
433,465,748,852,165,228,430,822,360,758,449,563,748,730,608,655,907,203,090,
504,583,040,113,791,170,607,721,642,230,467,283,438,537,152,118,814,616,656,
586,135,341,684,084,376,794,704,716,389,530,931,318,687,135,551,004,655,752,
225,096,509,009,029,707,113,550,108,348,746,858,538,141,442,998,796,898,627,
586,300,399,399,299,864,910,320,615,080,578,015,319,965,560,454,705,005,996,
645,170,497,096,487,232,809,494,660,200,809,819,070,373,792,906,076,686,345,
568,597,358,173,978,156,888,142,996,351,627,560,624,091,470,662,920,902,578,
544,109,614,842,569,138,339,575,813,690,628,924,671,332,000,806,291,062,938,
903,152,005,893,212,153,301,759,266,675,201,795,628,496,373,723,268,525,828,
752,924,053,496,271,714,486,863,299,581,077,140,398,236,790,935,416,874,349,
860,682,367,611,349,240,328,426,121,057,465,342,645,568,533,597,284,298,360,
842,856,635,462,810,582,149,268,965,630,672,839,343,800,943,348,788,847,343,
335,695,649,456,034,043,433,517,882,702,744,475,257,466,473,768,304,805,734,
311,548,804,704,493,252,119,345,483,218,862,779,619,358,731,248,534,359,074,
751,246,388,057,161,560,612,226,862,544,508,314,204,468,485,234,299,878,926,
768,261,596,642,736,602,478,613,251,519,177,357,406,094,770,437,188,145,539,
057,399,090,958,909,438,459,882,432,104,488,611,139,376,750,969,078,268,269,
163,014,018,542,011,161,686,045,038,597,470,247,773,401,369,149,842,770,848,
007,266,679,985,698,900,520,990,971,609,335,566,455,054,690,753,855,319,596,
403,294,339,899,768,487,810,858,835,830,894,686,564,971,394,209,742,598,589,
957,921,058,450,600,011,140,130,794,023,603,721,554,814,638,507,160,596,848,
614,472,301,786,153,723,643,068,299,838,926,474,722,536,334,953,173,596,912,
800,713,524,624,305,281,873,483,260,628,590,746,015,237,141,929,467,659,327,
769,867,428,051,584,622,087,993,616,930,348,179,980,848,393,314,023,766,076,
956,931,701,113,789,322,774,480,783,080,672,128,710,769,942,238,470,520,348,
702,088,685,085,573,280,283,796,585,609,018,416,619,855,900,282,170,238,825,
843,713,748,379,167,698,357,939,006,181,773,571,569,689,151,465,131,531,073,
877,803,685,043,741,902,383,471,971,416,777,835,550,786,203,514,758,518,486,
745,892,884,497,636,268,531,736,670,920,194,700,360,594,624,892,683,750,687,
423,051,855,208,970,786,018,782,316,906,369,254,458,787,548,272,544,348,158,
558,713,220,020,504,208,403,743,176,015,431,451,487,129,100,275,895,022,122,
825,991,064,811,060,295,822,022,530,147,954,991,188,859,609,024,150,870,271,
533,284,396,137,664,320,963,370,323,270,117,412,321,520,019,906,149,340,606,
648,975,618,182,675,708,225,607,799,180,054,731,653,912,176,104,348,502,533,
884,348,216,409,032,673,897,172,865,032,078,172,266,073,689,140,013,325,928,
906,980,886,919,835,478,586,533,615,326,253,946,879,123,209,434,180,181,416,
842,282,578,654,476,825,005,038,415,840,327,012,544,076,153,659,618,716,070,
382,187,864,867,628,371,530,702,172,951,635,608,176,664,104,660,727,252,709,
839,207,092,804,826,848,579,003,006,869,800,560,922,538,103,419,981,528,895,
267,035,067,115,672,299,452,686,075,795,116,714,906,277,192,939,681,934,565,
420,827,200,879,785,809,089,444,306,342,212,309,446,376,680,236,528,423,608,
999,477,950,649,138,500,934,247,389,779,027,913,452,922,495,476,237,965,733,
365,524,553,390,378,249,315,461,433,800,472,966,579,888,145,885,949,873,838,
231,308,406,717,867,741,000,234,778,527,266,267,633,058,599,108,632,631,066,
720,268,777,137,177,425,296,273,631,556,312,949,849,988,676,102,565,170,043,
899,761,684,167,450,047,956,049,452,949,173,992,937,781,435,587,897,580,327,
918,707,725,324,349,479,618,373,194,865,708,064,541,862,919,270,710,138,966,
409,225,448,785,639,027,969,177,508,658,696,170,815,522,010,453,407,305,418,
566,283,064,893,297,382,958,162,528,578,186,963,761,211,891,924,597,426,904,
620,079,444,385,091,910,545,021,072,484,146,918,225,579,086,354,681,700,882,
743,694,586,068,856,270,596,481,556,385,618,916,923,441,003,924,123,433,359,
585,100,614,939,271,308,525,782,734,764,862,779,413,854,666,792,432,077,042,
787,282,594,273,271,675,079,734,972,775,828,263,717,378,260,626,454,355,726,
646,441,995,316,540,594,363,350,788,728,749,329,534,899,079,251,893,924,139,
020,222,350,175,629,829,156,664,861,182,783,558,926,674,600,369,118,449,368,
450,620,825,794,199,510,070,875,635,943,261,088,596,710,289,798,062,703,760,
474,200,473,089,607,067,962,155,633,283,240,811,391,665,285,644,970,042,133,
604,665,892,676,158,530,735,678,332,672,084,084,260,914,870,411,227,730,263,
600,561,771,887,763,228,202,274,338,088,247,756,005,442,292,725,633,940,199,
060,694,620,787,128,193,257,909,057,169,303,745,105,760,481,925,801,542,730,
517,237,228,825,043,727,495,922,445,208,185,490,746,561,552,862,771,490,936,
461,424,085,168,045,915,455,757,513,323,275,849,264,420,879,484,680,201,454,
020,831,232,907,245,033,162,552,239,080,341,867,186,454,457,014,051,294,122,
123,915,638,591,419,526,837,944,667,003,213,557,853,277,723,310,148,584,131,
845,121,225,277,053,494,836,495,539,534,876,391,015,489,862,542,688,447,295,
140,152,477,504,095,470,101,729,125,594,089,869,751,597,708,963,556,673,191,
472,963,412,019,777,709,276,257,296,502,437,293,473,292,096,936,486,255,324,
382,649,254,169,558,968,666,234,664,388,603,600,613,953,325,084,771,895,714,
922,969,301,222,403,879,888,103,559,509,092,573,006,792,104,948,832,911,942,
181,613,048,252,827,100,572,091,756,645,074,428,957,356,164,168,214,750,797,
797,535,453,523,343,348,807,872,734,360,668,308,817,742,800,016,581,659,574,
512,827,150,372,876,460,865,603,533,387,439,813,386,916,394,117,867,335,351,
425,761,445,847,010,917,797,124,234,662,952,053,949,446,306,723,763,532,408,
731,318,715,177,306,836,969,187,761,416,667,327,534,826,978,275,469,395,858,
631,008,067,530,829,961,021,513,355,304,590,755,986,162,190,708,870,991,935,
823,290,732,670,836,528,422,816,840,508,112,406,780,194,277,825,693,349,460,
833,098,510,262,812,335,870,215,831,808,543,825,966,154,932,878,871,939,460,
251,952,395,631,967,706,317,316,365,950,896,182,544,839,239,947,406,790,830,
180,915,882,866,622,464,654,652,713,564,987,652,891,294,479,922,792,793,863,
905,951,458,059,537,036,741,290,927,291,415,137,017,845,460,263,780,941,626,
221,816,297,472,802,643,737,778,311,860,918,139,082,424,040,892,560,513,150,
823,019,648,874,806,065,834,091,078,078,493,309,994,982,484,812,432,494,470,
784,719,912,213,605,538,699,904,392,194,361,247,688,431,266,277,327,771,723,
972,269,324,880,578,332,534,599,329,666,792,512,617,300,519,033,310,373,524,
684,121,630,057,933,220,406,534,605,690,242,080,265,345,968,786,164,119,346,
002,385,349,733,514,184,429,118,593,651,301,808,401,232,832,241,088,948,017,
257,598,076,393,475,012,043,222,802,565,762,478,442,549,810,954,393,507,042,
814,300,853,257,236,083,026,448,362,079,071,161,848,121,744,249,770,421,876,
904,204,867,868,344,716,382,843,254,692,571,076,687,045,226,780,428,943,939,
688,595,796,106,180,104,498,591,837,956,561,248,759,747,415,350,394,948,676,
121,174,816,797,447,972,668,281,255,739,975,965,402,677,938,039,124,774,969,
271,300,745,643,082,970,200,231,773,573,505,414,137,478,736,983,807,223,350,
494,481,360,857,079,106,861,339,161,154,135,625,026,610,324,666,136,943,674,
213,282,436,321,942,513,722,058,196,649,962,349,180,363,985,707,084,121,678,
839,247,018,902,164,790,043,615,939,787,260,223,609,579,854,355,587,619,253,
948,317,074,798,540,084,775,761,484,514,874,810,704,774,415,471,994,656,662,
855,749,544,614,494,854,037,099,489,669,887,888,856,911,645,968,031,277,351,
550,342,054,447,056,935,181,456,025,751,872,005,672,391,696,395,761,460,180,
076,666,668,580,699,967,184,408,288,209,078,311,000,898,958,395,160,963,957,
649,798,533,932,660,671,199,831,552,143,910,238,673,219,542,656,617,283,306,
513,388,320,044,982,460,820,397,289,966,367,999,412,187,839,791,063,807,127,
517,836,794,283,451,434,415,953,614,414,550,567,105,394,178,061,289,409,037,
505,538,917,580,688,401,085,789,497,655,246,009,298,730,800,566,369,831,557,
417,597,320,145,807,623,378,480,553,478,135,558,838,045,220,316,546,551,854,
848,241,889,412,725,501,344,262,804,309,000,885,109,700,638,350,804,168,734,
698,532,741,100,989,520,251,333,206,428,057,228,993,939,336,789,429,687,942,
472,549,532,966,696,048,936,953,685,011,370,933,625,443,545,403,256,199,893,
027,750,993,081,025,517,572,038,577,141,050,892,476,159,760,967,913,485,622,
609,265,929,802,610,221,291,263,815,045,563,077,849,339,321,771,116,144,865,
149,218,954,645,036,455,482,991,605,015,522,177,994,678,322,087,066,783,985,
396,754,565,328,078,405,060,817,401,786,733,438,739,949,039,177,388,760,682,
887,062,562,142,605,345,065,912,007,106,862,560,752,210,307,430,247,123,481,
692,204,333,586,776,180,655,708,481,574,489,923,920,781,536,572,684,678,562,
228,939,158,582,013,786,746,605,213,919,505,667,917,381,059,539,329,720,105,
117,319,756,165,823,692,994,095,951,344,500,871,620,829,814,745,989,006,617,
735,295,549,326,349,158,142,820,197,847,572,441,237,130,608,662,597,446,250,
442,002,798,745,123,518,144,331,281,935,837,357,983,106,829,792,952,266,007,
134,655,065,632,490,410,149,175,181,751,424,897,388,323,150,189,230,599,122,
787,848,210,274,517,850,391,049,732,958,922,200,549,389,630,762,817,763,219,
245,215,332,658,688,643,340,092,665,604,153,203,715,946,127,944,144,521,701,
040,105,452,787,306,233,784,615,454,847,573,546,246,801,343,441,598,057,741,
872,292,072,020,725,472,284,942,561,677,247,677,081,395,635,661,832,792,395,
472,909,030,505,360,389,905,189,731,203,700,870,184,383,592,802,632,807,628,
589,254,894,901,529,450,744,594,586,240,451,134,748,413,057,807,741,190,306,
268,085,045,650,763,229,547,507,964,151,396,244,833,952,500,975,291,747,631,
505,267,874,276,739,385,576,048,235,138,109,510,920,681,306,022,701,335,698,
590,210,890,325,079,749,431,047,811,581,950,725,006,498,312,661,018,423,903,
097,062,183,890,246,412,596,331,543,202,491,508,316,728,299,422,975,910,499,
834,596,437,694,958,986,168,940,902,521,114,896,901,256,139,287,956,498,560,
907,559,291,759,784,596,029,187,898,841,603,858,474,321,877,315,205,096,924,
612,266,052,908,905,294,905,450,204,570,230,627,598,855,380,321,279,586,545,
074,184,538,855,301,096,797,728,289,996,715,223,658,661,542,927,048,760,601,
282,912,071,367,145,268,762,214,161,149,862,873,922,942,845,257,767,523,567,
673,007,987,346,066,946,541,111,627,536,578,452,627,430,409,612,771,437,987,
328,013,546,494,659,884,996,936,830,921,149,355,979,873,462,317,283,478,656,
500,421,284,188,155,536,736,297,847,355,560,441,576,456,064,355,076,219,249,
707,077,665,937,611,757,324,609,176,478,553,493,853,492,518,913,812,376,793,
825,255,206,914,769,190,744,339,326,733,574,035,084,974,315,490,370,301,434,
160,816,914,105,964,781,965,346,707,037,009,217,488,139,656,827,551,566,305,
770,100,908,628,814,368,798,346,408,753,068,256,256,128,329,896,154,178,537,
399,873,605,355,932,408,862,905,469,567,481,316,248,598,787,725,005,141,883,
025,439,121,844,159,369,501,926,113,081,004,912,821,750,664,369,528,796,673,
743,987,766,955,925,079,598,342,057,457,111,650,180,600,885,984,784,333,680,
311,988,641,553,362,599,576,828,169,783,073,960,378,504,635,127,897,753,987,
992,589,745,691,280,267,770,336,365,504,538,272,793,206,536,628,523,839,685,
799,174,761,940,154,551,784,483,504,720,425,981,471,138,979,932,065,391,611,
759,819,047,339,036,511,628,650,024,408,093,027,724,918,046,118,144,068,456,
593,309,393,927,527,110,594,080,240,785,023,753,659,532,741,152,242,849,775,
553,009,558,911,078,573,390,442,904,920,964,720,015,283,290,904,669,272,469,
792,840,376,480,979,690,479,131,555,576,836,909,708,291,731,279,218,826,629,
054,020,382,972,839,806,020,392,569,542,023,067,269,306,038,512,275,266,938,
810,497,360,109,853,457,729,847,490,465,573,458,836,034,139,116,938,354,034,
050,702,790,438,023,219,762,018,626,213,605,801,939,642,228,945,446,474,312,
297,458,131,975,822,711,450,324,667,716,418,331,251,837,090,725,927,355,282,
362,001,825,762,352,819,762,131,472,855,460,868,780,552,184,877,201,688,385,
197,408,558,701,244,922,422,961,318,968,985,515,570,690,492,031,554,027,880,
880,569,305,028,115,332,339,444,725,846,216,275,914,467,537,863,322,198,919,
953,987,745,290,095,445,592,011,962,628,756,055,737,657,287,427,234,174,518,
828,641,309,632,462,095,203,974,643,153,978,962,036,828,649,758,486,773,363,
000,052,811,663,195,592,545,371,569,721,560,989,203,062,773,086,761,953,779,
732,837,526,445,438,307,182,289,785,151,083,072,291,440,681,953,830,956,367,
817,320,274,946,329,010,298,376,971,315,847,832,251,433,693,041,156,709,505,
366,007,723,600,772,244,070,396,831,898,203,598,658,009,330,495,617,122,685,
141,682,259,497,647,555,895,302,145,633,237,053,826,671,084,370,813,056,305,
130,842,553,560,574,122,327,660,965,994,165,253,572,319,728,071,638,389,918,
852,138,194,264,489,473,764,467,548,688,031,520,564,560,738,893,157,257,526,
237,839,830,761,829,151,623,286,616,463,383,994,408,873,757,226,930,579,192,
291,771,936,471,634,896,204,522,033,149,318,726,791,274,106,983,831,876,635,
365,187,510,806,167,672,530,433,354,862,162,045,485,255,739,811,209,221,345,
353,427,469,550,387,396,318,387,011,469,597,078,935,763,080,760,001,904,871,
194,487,975,422,188,629,636,970,248,677,813,799,981,917,959,477,572,474,664,
961,134,974,176,190,406,340,814,270,705,738,684,134,754,245,424,618,714,183,
331,742,227,417,697,865,744,715,502,937,363,930,369,735,521,864,194,329,675,
016,597,406,070,277,654,120,909,555,145,012,924,964,926,490,850,864,861,205,
098,262,911,692,034,713,194,484,571,416,618,820,680,173,071,431,938,923,653,
671,211,304,141,897,769,802,616,366,708,577,089,969,804,173,993,306,070,025,
369,546,280,315,992,626,416,574,962,805,671,176,112,072,985,606,781,627,304,
178,382,206,368,667,392,387,878,123,102,541,935,941,295,629,648,070,574,083,
184,577,771,616,010,010,347,192,881,294,957,172,885,890,322,268,657,562,282,
301,883,815,545,416,099,829,460,847,570,014,636,210,690,585,757,487,686,262,
079,614,014,275,656,524,387,950,251,466,391,970,043,695,237,674,499,321,787,
373,373,945,874,930,043,419,509,972,259,581,278,684,853,799,321,664,874,581,
239,568,660,184,043,741,214,077,730,885,158,467,707,298,458,455,520,925,236,
998,779,773,337,283,650,789,590,583,528,400,424,636,934,294,629,640,362,022,
168,214,780,235,836,843,313,900,661,288,771,212,363,171,020,684,812,830,034,
874,785,607,885,764,747,042,502,748,938,722,584,164,869,618,245,862,583,408,
019,463,150,898,925,072,927,932,271,593,943,298,437,485,151,939,012,621,244,
695,006,935,655,617,742,384,974,479,785,917,401,707,325,915,015,532,547,404,
081,456,214,998,880,824,412,380,164,604,127,561,812,631,053,799,042,288,100,
261,041,457,892,623,776,475,803,356,458,805,895,877,661,914,389,445,248,119,
310,660,003,474,427,718,904,301,892,088,656,682,228,904,640,689,770,111,467,
050,324,542,900,289,622,884,530,140,869,900,159,874,298,269,324,159,787,242,
770,671,263,884,084,903,138,328,503,849,807,356,124,731,349,951,883,994,358,
805,004,286,003,047,855,045,667,534,542,058,184,152,349,899,953,370,821,980,
428,770,238,896,812,694,267,624,960,488,441,665,452,569,599,727,526,365,309,
789,325,689,168,628,062,166,577,924,743,528,663,402,137,195,381,883,546,206,
357,475,127,747,451,131,491,224,373,795,163,069,658,072,383,145,484,506,638,
819,020,359,789,750,563,834,447,520,095,120,796,844,991,842,111,889,334,390,
587,312,467,663,777,047,597,977,767,686,637,502,482,214,088,232,843,077,758,
365,849,441,849,543,303,760,842,650,505,019,686,679,344,370,966,064,720,238,
512,709,407,835,141,169,272,765,468,229,533,260,774,176,299,673,020,354,862,
033,430,731,672,187,244,805,822,371,610,296,129,094,921,688,452,982,512,892,
061,937,259,532,749,378,965,788,106,024,474,250,124,189,872,150,031,661,248,
556,519,749,786,210,718,851,329,850,856,840,911,397,458,823,614,559,887,176,
181,430,290,665,131,632,956,837,290,902,913,766,678,714,452,102,177,634,280,
666,109,501,207,113,384,785,360,130,699,967,417,184,831,332,237,482,642,071,
095,951,823,618,908,769,376,398,811,246,235,206,010,281,228,563,232,585,762,
586,018,626,200,625,616,192,158,537,062,141,628,422,622,377,722,871,297,370,
724,183,158,103,321,124,243,419,695,155,088,685,007,446,692,349,338,422,378,
958,639,449,922,538,517,604,669,255,610,266,766,419,956,778,197,755,042,095,
718,145,549,911,216,912,895,951,813,288,742,634,111,891,299,085,475,348,823,
613,167,480,074,167,647,755,175,504,349,195,922,837,039,965,947,861,372,818,
005,092,278,021,628,961,499,939,026,707,865,652,674,177,936,901,396,663,450,
737,609,738,726,972,056,582,980,605,236,659,002,111,196,890,661,890,291,445,
161,671,408,009,582,322,178,743,424,450,692,122,765,981,221,117,104,180,113,
149,562,733,656,139,296,700,194,100,729,909,257,909,274,054,444,666,820,467,
322,458,229,185,192,428,361,300,318,420,976,916,547,347,655,453,890,153,924,
810,802,816,000,392,520,871,781,486,192,721,514,514,932,616,680,041,837,338,
872,749,285,893,399,020,264,613,218,424,419,530,362,290,862,134,993,635,164,
544,861,655,890,265,948,008,358,010,127,976,638,780,187,349,609,546,592,313,
043,176,388,844,297,266,453,941,778,169,362,146,279,187,565,524,636,380,127,
748,674,475,421,326,696,411,110,548,633,423,273,057,296,022,407,542,496,897,
689,998,674,792,133,709,087,639,031,643,444,945,331,874,458,270,465,684,390,
922,134,877,626,645,002,976,191,432,660,205,844,894,321,639,295,131,401,821,
651,307,155,599,332,697,269,248,076,469,261,062,518,173,741,431,790,857,986,
283,731,421,368,269,692,795,972,537,362,458,927,298,202,309,829,400,342,117,
831,156,246,866,678,159,686,379,003,984,215,983,701,004,465,266,905,079,099,
051,289,054,751,627,587,567,632,332,278,939,886,623,128,139,038,559,117,472,
870,612,814,156,815,551,324,259,776,225,505,846,656,791,146,529,840,781,678,
648,006,894,841,273,844,566,912,536,175,451,139,282,753,814,257,335,296,198,
199,162,714,698,929,944,620,495,543,292,472,138,180,993,497,586,390,105,156,
523,136,677,087,042,696,351,926,928,392,058,869,344,587,727,987,838,825,854,
876,909,692,038,526,619,001,823,810,859,979,913,049,176,110,490,291,519,509,
477,799,937,755,868,142,240,383,127,443,595,241,500,108,430,050,727,677,308,
337,731,570,104,382,502,402,130,389,041,432,053,954,599,792,144,002,397,831,
868,874,980,956,663,879,975,067,558,917,867,474,484,808,823,675,746,791,707,
702,626,744,496,387,288,395,441,652,187,247,688,663,092,044,123,885,569,898,
468,894,760,530,005,105,491,278,102,963,293,419,853,557,165,495,073,955,535,
145,632,463,886,667,523,387,426,694,982,172,713,066,168,722,016,702,471,198,
005,382,451,739,746,081,826,079,290,416,669,989,024,853,471,273,715,856,521,
916,683,158,506,975,423,730,919,546,419,592,849,423,303,180,161,774,336,527,
778,987,691,070,626,198,946,818,542,703,118,153,078,541,919,294,968,018,109,
347,902,020,882,060,284,042,152,506,591,496,204,945,605,843,105,633,953,889,
961,166,958,858,165,672,847,651,457,223,179,541,150,899,527,650,897,117,546,
464,734,819,747,095,051,745,593,484,910,951,733,062,365,725,303,070,687,615,
425,445,234,383,865,041,171,007,494,709,757,669,597,563,851,428,984,883,162,
304,945,506,327,319,102,513,465,433,140,771,010,097,067,792,775,946,438,658,
841,049,078,688,438,453,774,604,167,396,537,335,034,202,916,110,201,046,474,
083,245,470,572,332,137,972,730,474,505,874,528,125,669,240,298,286,292,244,
090,282,412,737,635,273,613,023,136,089,626,389,755,278,956,995,245,372,445,
658,181,957,450,244,388,222,986,284,761,847,588,177,822,619,491,142,588,558,
788,115,169,726,671,426,868,575,237,537,032,614,416,926,343,863,384,956,418,
975,657,780,155,282,355,774,188,473,876,194,791,923,552,871,636,789,761,845,
127,226,000,078,202,039,749,958,992,159,339,534,681,774,299,491,056,829,529,
440,393,804,997,766,604,540,243,949,395,513,206,839,984,519,241,133,718,920,
490,049,594,684,261,274,308,625,389,974,765,077,402,708,947,579,706,032,381,
885,320,681,333,704,459,882,330,320,885,593,661,271,322,794,998,520,930,314,
554,136,863,285,066,814,893,998,726,289,460,856,423,593,966,326,420,353,988,
987,617,065,615,267,855,771,638,841,427,399,978,752,953,892,064,148,925,719,
030,651,015,568,998,072,477,879,720,819,067,366,782,059,922,057,196,356,823,
991,671,954,672,965,900,443,662,952,799,717,075,676,631,983,544,750,928,575,
799,826,181,391,167,215,504,251,487,155,724,443,629,494,197,804,518,652,652,
296,712,373,673,918,880,488,266,109,371,752,103,671,552,427,976,237,742,954,
299,141,988,687,687,439,305,365,516,844,611,575,649,916,934,450,510,478,787,
916,650,458,980,370,938,368,986,641,461,354,815,096,604,160,092,807,901,944,
726,544,205,923,926,214,155,160,854,443,878,924,860,972,317,040,625,051,172,
721,614,145,144,647,384,642,272,472,727,924,595,643,629,130,981,559,975,892,
319,049,789,349,017,430,059,967,019,010,280,761,342,759,148,930,477,013,565,
215,004,861,492,007,563,774,572,863,594,604,898,058,616,010,635,558,271,725,
962,369,404,277,951,587,507,685,433,125,924,326,964,002,105,911,394,059,227,
601,640,944,589,532,554,551,531,229,767,319,076,594,423,585,504,659,381,317,
962,936,185,435,413,495,007,002,985,261,398,250,945,086,759,052,385,127,870,
808,645,708,025,205,489,208,697,713,566,213,938,725,196,412,515,179,788,575,
985,617,677,901,285,119,630,266,035,874,320,787,800,504,064,570,058,736,834,
326,788,701,353,958,653,538,592,613,413,416,345,280,415,482,941,530,293,463,
410,383,841,392,903,549,039,368,777,983,154,324,700,085,907,137,472,388,278,
242,420,888,100,818,261,162,903,163,809,783,403,529,103,433,617,406,619,113,
956,555,756,909,922,769,818,697,493,707,935,322,394,325,758,532,469,626,467,
593,747,724,632,566,996,126,434,515,668,948,307,741,519,775,024,526,632,087,
616,092,092,195,568,890,690,761,522,007,468,610,938,508,227,682,432,003,781,
639,989,022,469,078,910,615,491,760,717,771,399,424,976,153,435,433,460,810,
583,788,255,788,806,971,636,214,502,828,320,168,715,948,424,854,159,741,005,
524,014,426,041,021,804,224,404,216,942,098,133,435,173,148,852,438,664,534,
905,326,592,177,446,660,358,752,942,429,896,148,715,806,724,646,142,944,492,
984,263,796,014,128,227,949,063,723,084,260,171,127,833,468,572,844,816,009,
407,132,692,598,182,043,409,025,823,820,704,248,520,478,291,297,445,182,915,
542,861,673,163,205,717,296,952,346,527,305,746,583,628,516,592,901,277,572,
909,301,258,052,647,581,287,347,053,024,092,255,370,275,068,598,247,909,946,
554,160,112,387,705,932,134,327,271,304,985,224,882,004,399,248,056,135,327,
456,905,269,858,405,678,674,589,643,927,881,217,840,399,411,300,224,108,977,
313,436,064,006,591,325,908,290,145,838,576,613,448,870,340,218,896,315,925,
367,955,059,783,127,159,280,628,618,875,921,915,716,250,358,882,195,821,782,
306,825,188,954,558,316,443,716,201,624,465,166,025,435,945,704,573,577,184,
730,273,989,472,092,580,029,612,725,329,375,782,739,720,172,290,459,788,643,
787,519,577,533,211,729,916,480,796,649,651,455,108,674,612,198,098,547,999,
200,924,170,732,620,398,745,189,055,033,766,220,965,965,829,970,595,036,480,
375,233,290,005,843,030,852,449,590,218,843,552,159,323,267,464,125,422,665,
656,286,825,753,814,998,525,936,075,993,275,803,215,668,025,430,093,462,004,
787,090,224,624,718,547,207,844,427,739,494,420,793,077,933,320,415,884,109,
869,497,438,664,153,373,059,012,225,104,837,937,919,716,698,905,602,856,283,
400,199,941,894,966,898,132,391,555,757,811,810,298,550,714,817,304,624,817,
969,294,824,363,519,523,344,543,140,592,433,780,276,867,209,574,589,783,649,
607,841,642,185,955,591,518,794,100,657,901,135,542,004,858,343,861,044,125,
948,241,137,445,307,530,818,613,690,903,124,241,877,026,151,382,972,919,847,
449,553,464,993,825,204,099,208,369,828,879,736,369,842,341,776,304,496,863,
122,390,260,921,757,605,942,424,378,641,176,881,256,257,462,449,462,945,392,
392,695,182,852,914,679,815,758,041,325,268,384,136,674,130,511,457,987,894,
520,999,864,843,447,440,008,444,413,335,105,931,057,529,718,209,028,134,006,
819,372,493,201,379,536,085,514,606,224,405,602,921,847,417,770,905,428,554,
173,632,217,416,213,176,264,647,895,869,546,328,778,384,804,648,391,335,096,
909,339,127,652,678,967,830,649,921,369,305,101,862,606,211,913,001,616,274,
508,029,520,922,669,029,042,516,091,899,199,091,233,543,084,579,744,247,673,
427,912,804,550,960,145,661,007,584,374,433,695,013,128,347,996,677,636,934,
575,927,158,598,037,105,633,476,566,852,924,124,068,717,671,831,685,110,090,
872,192,543,271,601,730,991,855,674,243,634,853,260,595,134,020,081,399,285,
305,825,869,011,593,361,263,520,368,350,725,041,302,675,967,684,123,267,431,
795,291,829,651,922,152,826,094,722,893,151,958,212,699,539,572,286,405,155,
007,269,281,269,083,664,307,192,838,943,731,577,593,624,039,107,500,266,749,
048,978,850,352,984,103,033,107,532,659,431,377,766,613,447,614,362,469,134,
294,585,255,302,982,056,300,963,155,114,597,060,087,824,452,754,777,328,252,
226,944,414,714,542,083,109,138,028,619,117,931,691,089,622,896,773,261,591,
771,369,392,527,291,862,738,972,550,108,781,795,689,337,347,002,308,294,248,
815,544,857,852,190,945,931,045,392,412,596,195,732,241,209,804,226,683,469,
543,754,852,870,244,405,237,324,543,738,104,538,770,786,598,356,760,455,705,
065,270,732,290,643,166,434,024,023,985,173,793,855,590,821,103,865,948,650,
180,531,679,037,884,516,095,380,962,752,486,910,479,169,518,520,202,772,389,
906,969,864,309,833,941,339,968,305,758,420,875,371,047,399,488,244,609,376,
547,506,016,111,442,614,603,222,641,050,805,948,056,807,267,346,148,316,621,
538,929,225,278,180,203,955,302,130,769,683,316,919,987,622,068,658,972,884,
801,961,477,570,389,686,449,635,260,440,104,383,991,729,549,242,534,121,043,
576,122,900,690,223,524,348,656,119,289,230,820,714,713,902,818,657,754,235,
571,611,587,535,940,601,400,961,812,534,577,341,632,501,369,088,390,275,869,
245,182,848,398,861,829,514,931,492,856,018,125,536,387,251,138,764,687,733,
878,777,926,447,838,190,954,748,990,057,240,969,497,653,792,193,302,527,658,
677,896,885,814,758,643,348,996,356,347,966,933,081,770,144,998,455,417,988,
082,657,875,596,135,531,530,618,867,282,785,357,085,020,480,256,473,201,750,
470,325,931,490,422,048,985,574,962,853,245,231,072,419,816,704,246,009,206,
568,707,996,152,914,359,906,837,630,636,511,852,953,055,599,449,504,886,678,
470,503,120,650,014,558,275,146,752,872,950,327,027,052,796,321,289,851,892,
548,583,119,114,002,911,792,306,197,665,103,076,926,505,789,865,877,286,160,
580,118,437,042,002,232,158,380,990,179,369,525,038,203,404,487,462,058,740,
902,271,034,918,529,333,911,664,194,589,453,983,655,474,331,042,603,507,208,
847,119,746,758,604,528,623,245,907,961,935,929,459,546,809,842,806,905,446,
587,708,468,017,440,536,801,897,078,137,159,710,971,555,956,976,536,408,477,
633,696,784,278,253,958,499,760,473,033,633,396,781,979,925,787,670,482,593,
197,711,932,524,280,080,639,778,929,973,356,393,898,376,874,770,939,810,178,
088,120,808,738,996,125,396,054,217,977,466,173,290,632,827,146,902,582,971,
664,896,085,065,653,071,504,872,364,017,906,123,327,066,062,331,514,274,145,
518,773,356,151,655,476,790,223,982,493,911,623,093,257,283,208,937,778,275,
028,180,114,728,530,970,677,687,377,681,197,937,337,011,321,202,704,993,794,
771,916,228,263,185,595,804,976,286,813,083,790,466,837,129,157,611,883,927,
172,735,618,731,182,691,321,499,376,609,389,474,295,096,554,127,695,340,855,
367,036,563,028,776,937,985,580,272,848,288,829,268,441,561,878,213,903,920,
704,864,960,088,124,476,802,288,447,017,854,539,773,298,370,648,965,846,468,
930,826,801,887,883,609,641,985,637,190,088,389,522,366,710,679,263,087,092,
558,766,294,783,590,820,560,128,297,879,305,250,222,213,341,858,130,648,785,
510,768,446,199,769,934,125,564,219,467,228,956,847,390,680,544,411,523,107,
039,001,957,170,221,245,374,821,362,123,975,533,388,837,650,531,208,444,174,
061,946,645,330,300,401,083,314,503,921,458,054,433,297,042,731,489,576,909,
252,477,929,845,589,127,820,166,241,479,719,027,149,019,960,039,254,360,822,
381,633,226,863,284,855,784,476,071,001,777,145,818,109,908,936,736,749,115,
803,126,747,452,404,657,237,790,830,136,903,298,684,183,873,382,162,125,547,
689,422,965,851,181,081,327,117,116,422,148,984,383,546,274,813,968,136,230,
685,632,621,442,856,500,101,346,163,534,510,112,943,843,331,999,695,584,078,
857,441,530,758,924,752,570,423,338,281,825,368,496,639,667,554,875,283,606,
242,351,657,208,616,851,394,525,750,440,818,146,634,466,076,239,289,004,996,
211,011,344,926,681,805,111,768,163,550,838,370,463,120,671,240,282,537,510,
170,574,138,256,314,906,139,370,275,470,187,002,419,424,566,810,284,673,367,
947,212,247,385,950,863,563,534,518,706,775,290,537,901,687,046,676,896,899,
262,233,830,680,474,410,385,956,129,536,244,750,055,680,150,558,815,341,377,
479,017,094,665,273,259,086,915,152,165,323,796,210,116,659,875,468,685,807,
626,563,174,939,106,965,774,681,232,975,166,353,147,747,006,170,846,179,434,
242,394,101,445,593,676,298,958,650,007,017,787,375,319,964,931,711,735,902,
430,735,462,846,610,764,908,426,254,902,901,429,908,542,199,441,608,186,506,
959,404,093,310,363,682,820,502,410,911,856,092,567,743,533,373,655,326,506,
622,095,892,210,730,651,872,315,059,780,602,282,415,889,612,002,681,656,202,
420,422,993,109,194,208,327,971,909,947,453,498,846,412,321,136,023,468,535,
300,107,729,614,419,697,791,597,289,076,681,700,465,182,573,430,896,979,766,
736,953,068,094,581,235,265,603,555,869,737,843,726,918,775,050,702,112,326,
171,868,370,227,785,143,359,577,202,268,885,464,740,930,079,338,990,415,150,
206,551,899,249,481,354,191,038,846,405,964,838,430,607,930,676,126,333,995,
444,337,959,741,795,677,077,449,743,278,740,768,695,454,603,235,528,510,767,
874,170,811,991,299,355,590,908,302,165,068,669,088,493,807,664,783,778,242,
110,516,403,954,460,399,348,984,365,353,544,721,379,013,854,450,977,054,288,
090,969,834,387,771,057,745,141,878,239,266,456,978,197,483,934,867,497,391,
223,764,543,738,840,377,228,552,636,194,665,104,162,532,671,951,838,725,189,
798,260,212,520,643,346,002,355,750,802,598,545,971,169,234,566,154,907,704,
809,418,387,146,422,003,174,303,174,582,199,288,013,962,904,567,459,001,911,
330,248,493,615,101,174,252,739,221,417,437,472,392,954,797,264,378,582,984,
839,482,321,531,729,263,410,663,892,152,147,756,652,710,077,019,180,017,709,
401,785,699,261,450,369,232,678,607,233,054,181,479,782,363,835,240,448,124,
077,199,950,276,191,996,966,117,566,496,352,436,508,167,277,059,655,127,729,
281,590,160,572,186,921,543,595,055,782,080,606,904,160,906,866,030,154,615,
657,740,438,854,381,505,769,613,568,181,993,871,783,515,194,483,856,532,219,
300,055,752,829,986,582,098,093,981,723,529,819,828,433,676,073,623,272,279,
592,266,226,894,819,283,227,779,521,624,165,151,000,621,028,506,430,279,165,
013,067,478,111,749,651,612,254,350,703,995,106,567,380,177,768,990,785,745,
414,618,251,282,053,829,772,273,392,395,930,069,119,562,458,785,616,789,045,
842,718,288,863,219,016,096,896,018,121,988,001,515,052,904,876,890,165,291,
009,224,250,168,866,753,760,792,524,247,619,886,776,466,598,301,364,001,820,
090,584,087,611,411,867,829,262,207,217,475,897,133,105,231,745,113,527,524,
159,204,774,781,910,500,688,018,559,447,054,367,899,102,399,355,628,121,538,
498,635,331,154,180,353,221,014,673,898,084,287,575,289,396,985,029,077,984,
387,334,384,666,951,093,610,188,945,745,423,950,155,484,197,341,593,250,497,
247,681,238,273,462,883,171,979,183,808,808,672,557,355,586,951,492,351,494,
613,663,413,298,829,422,655,601,551,062,095,611,820,715,169,515,200,613,853,
489,025,647,919,121,376,711,620,160,093,385,967,420,265,011,453,066,591,200,
577,501,335,362,965,825,857,242,226,782,338,786,271,005,030,694,125,672,190,
952,635,262,692,299,532,846,804,755,436,608,612,015,401,726,788,919,235,067,
679,900,896,865,550,962,535,058,921,106,414,450,911,270,443,183,328,080,801,
050,923,846,856,805,936,218,299,846,183,206,780,171,969,104,928,690,681,483,
704,616,312,567,740,547,149,890,305,738,176,760,212,644,896,846,946,126,725,
877,572,319,246,736,657,636,242,323,325,462,130,096,188,372,207,915,338,769,
478,444,147,675,718,019,944,490,111,572,975,023,473,372,817,992,633,224,253,
774,727,493,874,197,235,964,585,272,591,222,779,801,755,164,838,351,780,163,
230,183,295,051,617,475,923,358,012,364,615,100,633,818,507,702,998,379,755,
527,685,868,398,327,045,813,293,796,972,736,916,537,880,741,546,452,673,968,
306,675,313,526,227,373,742,252,416,590,964,917,795,205,004,824,851,808,106,
457,384,927,606,970,445,471,118,894,803,120,817,559,751,520,455,200,250,253,
175,208,455,857,436,930,221,756,628,824,482,286,177,881,704,373,429,830,927,
448,025,021,621,492,412,475,971,048,711,039,752,844,594,185,263,859,814,139,
137,131,116,766,678,196,352,550,378,636,071,663,070,963,091,693,332,910,489,
101,650,497,799,558,927,288,143,318,579,235,454,315,023,715,712,292,846,514,
313,556,452,708,992,862,802,772,771,113,840,205,491,400,034,617,080,427,836,
529,170,341,570,390,582,232,172,159,720,514,087,939,877,069,077,151,679,591,
161,076,234,446,221,969,042,892,451,460,885,908,798,798,512,023,208,022,497,
308,004,430,108,460,619,642,580,205,922,512,395,956,847,002,105,316,797,705,
802,714,792,991,171,301,675,101,774,127,209,996,225,006,891,175,820,546,812,
711,196,459,027,351,037,783,078,692,951,548,637,409,459,266,034,280,740,845,
025,099,169,795,125,678,874,380,274,424,054,233,970,505,961,600,807,528,413,
515,975,767,462,395,842,090,206,388,726,588,871,686,394,404,066,435,389,295,
990,701,674,054,173,901,568,507,692,825,796,946,739,381,379,332,320,685,594,
332,244,570,467,464,487,588,713,055,691,623,708,021,860,316,026,627,891,650,
165,120,517,394,184,733,399,988,397,285,919,041,382,783,480,121,458,107,676,
647,071,839,098,269,185,563,156,734,450,907,900,029,426,028,881,047,011,090,
580,818,374,443,845,237,234,578,112,206,780,872,334,982,452,967,753,692,189,
922,395,411,572,902,800,422,375,926,332,821,829,989,230,463,741,057,202,864,
253,642,074,576,225,536,109,063,505,639,252,098,901,701,899,968,421,466,266,
414,978,051,283,714,962,110,993,163,270,019,953,568,850,905,090,363,798,019,
096,511,188,913,460,517,095,682,766,933,616,355,894,641,733,356,840,105,166,
067,482,290,228,954,421,546,976,372,243,923,098,894,726,685,476,063,373,376,
020,761,146,857,224,251,185,674,072,904,520,684,053,302,153,010,506,764,074,
798,954,160,786,087,538,587,932,229,507,949,519,837,959,206,495,467,359,990,
262,548,844,999,961,373,992,636,596,382,905,330,938,458,479,882,267,871,478,
836,248,548,392,926,268,923,899,626,191,526,811,604,880,830,465,091,782,643,
715,429,162,984,708,691,157,399,217,628,902,125,963,669,151,197,895,703,045,
257,965,680,038,506,055,823,781,336,383,204,193,009,241,989,476,732,396,843,
428,901,045,826,360,310,500,649,427,832,199,000,990,663,883,312,732,075,973,
154,856,256,495,060,638,528,112,901,573,152,496,286,655,821,035,286,094,176,
507,374,660,818,769,308,612,742,632,332,939,752,627,492,070,913,075,865,132,
250,522,305,713,748,973,234,839,002,276,040,111,802,718,592,863,372,668,930,
793,060,830,798,563,405,658,833,924,818,078,979,683,439,769,004,344,644,471,
271,946,940,015,223,983,887,466,724,682,618,505,966,912,720,117,827,438,183,
398,304,197,441,814,452,051,123,369,779,267,231,196,981,234,248,780,631,523,
416,792,546,974,842,324,343,837,620,850,950,033,017,219,870,453,831,354,742,
534,845,049,459,552,015,117,533,408,964,352,810,455,829,402,643,538,466,118,
594,364,310,988,769,116,670,867,612,895,613,308,388,845,567,229,272,543,215,
474,163,425,612,214,553,200,516,463,386,973,784,771,830,005,027,863,135,072,
541,414,882,330,306,194,311,812,054,865,468,303,110,902,945,900,285,131,256,
108,760,336,630,313,393,330,818,018,457,679,698,178,738,227,701,212,438,484,
527,005,020,135,309,762,352,173,007,600,400,780,440,010,349,482,817,131,742,
947,654,150,327,930,430,270,006,695,689,443,416,188,368,868,297,986,065,253,
435,063,078,563,956,943,396,527,502,232,634,899,488,705,594,886,161,425,335,
118,057,570,645,368,711,582,558,554,362,868,666,249,117,503,690,736,322,009,
453,111,756,927,443,825,040,558,258,058,169,654,506,294,612,992,417,663,555,
961,316,175,789,295,799,058,737,641,555,003,170,042,198,219,228,606,343,911,
980,325,785,988,344,288,958,845,258,638,524,142,933,648,729,581,859,010,770,
010,110,642,711,460,894,039,449,063,723,292,268,162,010,814,124,762,643,691,
941,462,811,173,032,302,040,205,972,457,964,845,011,172,797,191,875,862,769,
968,997,203,772,123,682,812,003,314,393,603,677,417,593,427,325,663,663,974,
502,049,612,796,561,500,669,035,722,502,427,850,736,616,686,784,211,577,167,
618,629,649,906,469,637,180,788,991,171,748,752,652,892,109,074,407,042,590,
635,639,762,553,197,646,347,559,763,054,880,023,865,864,878,033,355,624,767,
191,241,241,795,374,590,030,793,742,920,781,438,495,389,888,000,522,513,813,
712,872,128,446,792,825,707,249,333,274,153,921,620,288,261,616,640,855,149,
738,365,158,639,132,446,413,311,240,928,700,677,776,186,634,630,006,739,672,
824,177,206,971,395,986,952,296,331,145,669,664,130,333,739,001,953,457,971,
747,254,320,135,359,720,574,069,269,732,323,868,353,767,999,801,630,491,609,
367,908,558,430,435,270,570,583,975,311,409,406,155,305,836,146,185,690,660,
341,110,699,961,297,665,378,933,961,881,499,571,183,408,994,780,645,077,934,
021,544,764,653,692,374,459,396,873,584,963,982,254,773,728,949,222,271,694,
627,206,573,542,083,929,369,935,927,023,301,506,497,244,308,178,590,454,378,
765,554,777,168,707,169,670,410,045,833,329,666,887,457,817,539,238,783,603,
199,613,165,689,375,163,932,423,084,875,280,843,385,083,007,219,689,932,980,
956,524,715,028,773,900,089,195,423,240,404,662,151,525,611,298,382,366,713,
806,722,367,545,709,079,534,964,453,458,952,477,640,083,810,630,409,920,526,
047,452,450,459,297,528,886,456,055,434,151,391,672,569,291,371,787,111,917,
270,787,194,259,680,008,710,139,713,039,043,467,387,902,695,947,831,086,177,
337,842,516,280,852,967,778,945,263,347,162,455,140,052,277,744,658,708,771,
381,260,575,106,264,343,527,943,026,438,587,090,891,731,544,637,401,459,389,
347,354,126,352,750,897,371,236,656,219,007,990,390,874,289,745,392,753,772,
390,664,488,805,957,420,735,074,148,242,376,147,593,453,983,323,600,097,789,
529,541,163,609,997,046,718,326,354,725,697,890,884,816,854,248,121,091,857,
542,845,980,861,023,108,801,829,872,450,531,195,993,614,503,769,682,212,268,
855,566,546,891,301,022,119,218,770,948,897,032,128,018,711,021,047,095,283,
074,024,402,372,523,296,376,600,031,722,379,965,903,862,622,035,753,473,794,
746,855,527,217,176,020,708,331,393,684,567,303,931,178,923,835,180,720,055,
304,624,406,404,032,727,667,297,533,876,227,537,459,131,160,557,182,105,190,
342,559,543,691,153,770,016,951,256,832,821,353,807,033,705,662,174,917,368,
109,233,973,822,345,422,498,800,231,318,193,306,837,722,286,617,250,517,825,
472,296,736,621,207,719,522,416,202,472,813,251,767,578,123,537,625,625,476,
302,998,915,857,422,097,489,481,198,883,004,356,554,707,011,162,018,587,848,
300,594,621,068,524,099,316,000,761,749,433,955,436,458,395,002,971,464,311,
966,638,208,890,910,719,568,044,784,271,264,574,263,881,771,069,402,838,943,
564,544,392,636,608,017,761,054,271,374,092,763,600,225,756,116,841,483,114,
376,962,076,051,129,488,089,261,237,522,622,815,187,431,348,434,911,692,151,
546,712,631,078,099,635,919,639,719,767,111,656,239,454,900,874,412,729,531,
040,455,897,219,998,633,397,058,346,134,373,699,964,086,028,186,648,297,921,
017,001,170,980,352,411,242,704,947,244,199,112,262,013,277,027,312,960,799,
735,022,858,899,880,443,987,293,244,560,991,990,798,076,528,780,890,572,010,
443,795,219,341,921,548,108,870,568,166,448,282,953,422,402,797,817,633,426,
663,062,616,922,834,879,977,544,361,250,216,179,288,969,823,973,456,062,639,
699,718,681,270,805,604,197,119,548,808,659,229,220,481,300,045,083,880,465,
793,674,552,915,088,334,321,760,369,408,591,391,270,290,187,430,303,830,280,
567,809,168,288,915,743,205,584,565,471,853,036,407,400,307,045,856,573,424,
112,461,337,671,122,486,500,322,009,415,326,526,279,696,010,929,852,074,191,
341,455,888,400,299,403,867,684,066,752,331,873,398,626,450,305,566,203,645,
754,027,046,756,819,258,339,661,156,537,536,280,853,828,568,768,459,884,054,
540,394,975,556,472,531,714,529,899,926,392,448,287,128,533,087,193,645,099,
708,875,940,254,663,537,067,428,782,276,346,564,616,491,050,830,960,126,383,
144,866,299,335,297,935,969,317,714,734,532,463,816,906,014,717,601,402,363,
164,845,702,453,278,699,614,727,450,918,640,410,202,092,592,025,903,374,695,
754,142,909,677,821,241,372,617,368,489,107,823,500,717,077,804,224,351,517,
310,115,052,209,742,531,700,635,699,812,520,097,588,018,422,949,735,539,005,
286,971,042,614,161,885,663,613,819,182,960,063,679,352,936,451,512,321,077,
800,401,283,564,606,798,508,739,898,993,108,823,557,339,426,177,857,784,366,
546,451,105,412,641,444,142,068,804,139,503,690,882,400,878,309,279,221,195,
590,725,607,867,761,261,718,412,963,183,170,817,114,150,185,711,034,823,105,
421,769,795,951,672,081,694,050,241,685,875,813,476,231,829,105,370,889,773,
125,069,403,395,740,316,323,929,011,970,031,050,920,899,527,734,056,654,186,
736,768,951,182,063,729,768,246,667,617,410,414,173,900,746,559,338,666,482,
164,941,439,957,538,884,216,092,263,593,465,065,867,049,079,791,319,448,414,
049,242,290,818,201,966,632,973,981,923,656,649,101,958,494,372,125,785,196,
631,810,015,788,530,469,595,178,321,088,599,250,176,948,098,691,735,639,748,
144,531,198,294,857,676,635,051,189,762,388,370,251,500,223,067,353,148,211,
406,313,549,352,194,758,723,234,517,461,716,469,342,828,956,460,412,520,308,
023,748,692,943,329,930,590,607,012,431,421,953,430,484,992,338,340,345,893,
426,443,170,779,101,356,961,363,337,455,030,562,560,377,735,492,098,151,557,
392,501,744,503,213,315,700,336,221,436,592,543,659,628,005,434,296,844,319,
737,710,108,875,304,188,091,306,073,468,095,999,923,543,656,993,983,467,123,
532,231,416,106,268,867,692,901,891,666,977,400,979,242,201,121,193,381,387,
615,456,048,943,177,488,819,869,405,443,041,652,255,467,765,700,913,020,194,
368,252,657,536,238,528,938,757,464,848,515,696,680,213,895,971,231,918,851,
860,945,309,198,820,038,354,535,036,404,721,784,943,737,062,643,197,838,352,
576,320,999,108,229,953,889,112,194,745,063,099,174,435,099,665,867,439,860,
814,553,065,769,880,794,815,972,144,215,462,871,331,854,585,503,954,465,962,
988,702,834,553,627,149,114,172,174,323,809,305,396,370,294,061,490,439,895,
271,512,355,927,836,210,242,393,186,901,337,759,801,585,523,659,933,809,729,
008,459,959,150,912,011,995,517,943,434,402,079,199,777,631,947,794,757,460,
019,659,199,085,571,428,316,882,343,764,969,448,705,529,389,446,896,220,201,
540,241,000,045,943,863,502,996,457,865,724,371,281,202,189,467,361,468,482,
689,156,734,204,716,263,212,874,969,201,736,115,086,086,065,017,918,707,888,
574,053,503,922,875,474,904,995,481,701,677,271,315,641,329,561,533,217,252,
310,974,844,751,359,037,047,339,877,459,637,937,060,869,907,357,393,578,570,
965,210,663,850,452,435,406,233,854,581,437,915,712,533,682,108,702,892,407,
763,207,315,862,687,051,328,106,861,155,633,012,581,492,485,701,861,355,547,
875,206,634,877,298,978,859,164,623,071,326,239,002,213,095,971,775,996,598,
643,941,526,574,765,366,203,985,065,294,473,228,388,955,303,548,408,469,505,
880,548,917,016,101,844,986,554,422,605,974,036,803,379,269,058,725,683,016,
423,426,972,049,248,164,674,543,629,095,162,890,224,782,946,459,383,322,223,
878,892,136,320,211,648,306,478,378,270,432,201,943,880,055,030,828,510,532,
353,480,080,337,691,968,947,901,015,690,314,704,131,212,999,414,972,322,856,
683,079,352,211,419,139,366,929,556,076,152,316,434,333,537,001,746,117,590,
134,833,935,395,740,660,797,998,371,030,310,734,263,469,649,895,541,129,868,
110,888,257,744,342,013,408,591,111,503,104,402,769,549,797,829,568,511,523,
727,492,694,443,755,573,208,765,408,991,033,768,706,299,520,184,920,469,442,
287,412,567,180,292,362,197,192,346,351,343,587,061,968,655,875,402,831,262,
916,385,853,545,096,475,991,180,323,123,461,206,894,272,580,505,622,307,876,
996,053,028,010,972,242,874,510,241,197,113,523,139,199,603,074,608,040,447,
247,623,436,850,777,389,073,888,765,966,509,253,291,977,587,146,012,288,905,
488,291,454,847,291,142,125,307,003,198,037,359,291,954,708,668,052,660,447,
846,377,383,000,635,038,058,444,508,323,821,126,402,246,745,341,066,587,137,
867,436,420,497,725,541,884,327,665,049,480,159,703,776,922,800,540,038,255,
117,767,039,538,917,193,219,492,151,624,299,244,310,665,037,548,041,970,904,
537,123,760,894,240,682,532,690,680,601,605,750,561,656,236,457,200,096,376,
517,810,410,927,052,343,809,577,530,953,728,932,888,258,113,728,754,384,433,
290,693,867,192,037,532,901,999,075,561,903,751,211,456,467,041,144,524,080,
946,738,840,052,307,799,069,997,258,398,990,182,891,195,779,651,995,671,910,
442,574,447,075,498,151,161,157,075,688,442,150,814,129,787,859,586,000,906,
748,078,231,021,907,147,443,368,488,312,585,347,014,866,959,438,507,923,652,
675,960,623,950,984,439,160,079,523,200,094,743,166,326,947,719,835,601,263,
786,196,768,501,140,084,603,809,455,300,153,247,722,301,879,342,668,458,542,
933,200,950,575,551,923,413,549,580,985,253,616,621,326,852,678,741,131,602,
986,057,481,326,597,463,618,126,589,173,279,518,208,708,946,227,933,071,678,
435,284,352,545,435,461,104,317,768,090,602,982,082,336,967,986,835,260,063,
720,023,216,587,028,844,632,737,915,837,389,807,664,775,306,464,528,788,816,
219,883,774,668,422,645,427,218,152,668,608,381,775,779,542,057,434,594,278,
740,720,581,259,986,477,261,089,166,918,099,736,118,347,408,656,568,725,292,
543,123,147,151,368,579,287,718,397,489,760,976,099,451,783,192,682,875,537,
694,729,265,883,534,970,400,201,424,157,104,943,061,761,377,289,331,560,592,
947,515,577,519,820,562,110,863,464,130,202,304,670,128,516,739,301,618,611,
597,458,493,590,861,448,188,047,722,022,011,533,063,433,359,443,981,202,086,
820,393,231,080,093,784,889,839,234,755,718,318,837,848,043,820,465,543,429,
720,142,536,659,176,149,763,862,324,063,216,093,681,621,236,499,030,677,575,
508,618,532,027,223,167,764,275,715,285,985,689,585,089,482,394,630,818,767,
420,665,393,388,502,093,133,130,492,893,877,944,893,851,879,397,842,810,129,
540,198,553,096,277,593,733,527,379,323,424,808,393,001,672,648,134,272,892,
608,765,793,471,653,133,518,611,677,814,558,279,541,056,133,636,368,997,525,
428,256,597,456,155,141,444,716,283,592,635,861,893,033,641,458,101,901,974,
610,717,101,828,794,244,541,499,452,790,861,396,663,698,780,342,769,853,655,
548,755,498,761,966,738,341,082,573,159,930,979,272,922,013,087,543,903,235,
230,328,195,114,489,442,672,418,614,572,085,726,787,784,383,661,315,469,375,
390,775,462,312,400,969,222,434,043,731,711,926,272,268,370,653,651,833,827,
099,741,374,391,408,681,516,119,511,026,929,461,305,681,846,757,542,991,899,
400,535,865,213,020,048,313,891,858,050,561,629,969,301,450,862,787,577,778,
631,204,280,097,059,110,685,124,989,597,974,183,238,093,147,696,698,812,628,
113,686,123,881,161,059,016,487,007,905,553,222,752,687,152,258,623,601,157,
982,413,854,506,419,308,029,550,979,328,663,463,936,280,024,194,012,014,391,
893,863,119,529,965,537,704,816,315,149,911,864,686,015,640,588,362,598,995,
941,955,358,246,392,996,546,432,465,499,344,055,211,079,414,887,603,336,859,
001,322,256,733,227,144,244,085,673,683,741,933,806,316,139,806,628,898,273,
853,183,573,320,714,963,957,772,158,454,035,794,283,417,351,534,049,946,312,
004,244,548,619,038,673,107,720,561,600,830,445,274,333,613,970,015,453,938,
669,734,741,145,610,787,218,262,793,220,739,021,199,612,783,485,265,816,049,
142,112,690,858,613,560,528,455,923,387,463,206,986,491,994,153,492,866,580,
365,362,780,573,149,554,248,748,043,628,301,206,066,366,902,189,981,926,477,
287,437,086,776,597,659,147,979,251,195,874,953,781,126,498,928,181,337,843,
249,967,609,831,132,148,790,372,825,542,220,855,261,839,867,556,375,497,008,
418,359,612,688,501,828,987,751,795,387,362,914,468,800,582,724,141,438,388,
175,020,588,130,265,380,981,987,128,076,099,474,125,316,302,713,469,057,646,
696,932,790,910,030,623,002,081,729,938,699,967,599,991,893,559,861,538,821,
339,611,330,631,976,644,826,411,503,211,096,912,350,154,123,956,127,690,392,
463,223,192,707,689,621,251,534,425,539,248,445,935,501,642,142,059,504,974,
473,698,952,621,861,144,409,245,666,179,382,762,162,606,542,044,116,577,949,
266,586,630,352,392,007,305,971,105,863,641,149,836,259,258,894,406,042,119,
621,872,672,350,820,803,029,556,133,976,356,429,062,916,082,750,417,275,880,
397,325,901,559,183,268,689,387,452,664,721,104,429,300,960,692,447,096,445,
857,453,038,381,101,289,473,060,252,364,984,926,307,445,401,859,320,095,797,
512,976,948,224,557,849,675,384,526,803,375,578,947,365,265,322,523,980,348,
845,214,761,030,012,060,504,063,048,201,439,573,463,755,688,290,655,530,060,
060,976,937,642,297,642,772,035,142,806,080,524,895,345,271,631,843,006,531,
186,858,161,342,836,814,470,655,628,370,044,872,351,220,018,185,464,146,869,
457,452,669,316,648,717,417,050,602,725,525,962,722,993,828,833,052,871,731,
959,304,271,858,314,584,820,347,456,882,606,323,476,842,758,630,061,564,761,
134,035,779,980,192,372,220,390,188,057,559,217,886,963,872,229,039,709,002,
033,418,210,731,675,481,863,985,957,080,131,066,961,869,307,730,464,989,142,
165,775,435,135,019,128,893,990,449,642,840,930,454,237,164,529,539,588,614,
009,567,895,113,914,782,908,483,469,013,618,213,307,122,826,168,403,109,881,
343,187,974,045,871,630,362,806,091,334,829,369,728,974,667,508,222,076,851,
962,093,269,491,594,050,903,087,684,762,893,709,850,299,363,294,429,123,544,
954,424,920,586,171,193,460,823,950,664,913,595,300,061,870,369,885,575,778,
070,119,601,751,125,882,873,282,694,620,721,466,336,596,659,103,875,008,466,
813,135,764,232,158,127,411,974,789,452,849,000,830,792,147,801,057,019,692,
304,470,841,192,254,328,213,804,829,936,429,386,669,884,169,240,209,682,170,
504,251,724,122,860,241,854,606,659,315,067,105,231,858,627,395,119,247,172,
179,751,757,874,199,340,750,139,359,311,088,039,510,455,524,920,351,224,074,
762,467,583,854,670,806,357,627,598,485,099,343,877,362,304,382,616,207,625,
309,286,808,286,873,788,944,854,735,556,119,629,634,700,698,446,891,261,658,
267,115,264,439,943,786,247,910,326,726,888,588,850,925,534,597,171,647,115,
873,289,054,262,480,851,901,606,118,297,927,963,829,435,121,299,053,210,548,
444,348,745,023,726,437,004,943,102,385,912,901,152,077,404,642,377,181,937,
420,584,957,992,132,690,045,825,039,918,427,003,219,371,419,118,697,313,509,
284,268,858,810,275,086,961,614,736,247,027,050,433,192,394,099,567,763,251,
608,464,958,259,717,012,437,925,879,138,855,096,813,559,483,417,923,250,331,
386,903,387,545,854,728,100,111,986,530,314,513,936,362,575,105,374,619,993,
622,406,438,254,779,221,236,073,336,164,947,077,561,785,557,360,642,032,483,
511,440,281,528,362,329,366,547,973,474,291,513,612,761,373,804,238,131,857,
390,709,382,278,749,793,475,279,438,760,339,929,009,048,209,385,461,582,834,
226,512,825,953,555,229,811,094,089,807,678,610,474,172,949,954,559,955,405,
624,927,311,069,506,453,947,550,886,168,254,524,690,014,251,320,750,548,382,
270,730,799,365,676,496,893,619,506,333,488,985,559,098,140,701,356,238,226,
687,128,127,547,868,451,334,266,421,986,123,097,987,388,412,787,069,752,691,
957,063,443,338,334,582,315,958,329,614,995,851,756,870,548,241,051,308,146,
947,781,723,359,575,868,821,709,785,843,344,868,586,710,686,960,160,688,168,
923,004,896,708,233,354,063,533,117,435,614,429,230,189,839,309,624,299,239,
240,051,978,431,017,232,763,490,150,525,093,105,342,747,941,175,426,913,735,
378,501,042,651,905,565,194,604,610,250,282,780,132,292,863,933,449,876,980,
290,968,003,632,526,439,489,779,180,892,662,350,955,826,757,536,104,593,592,
858,929,858,013,552,275,243,314,576,234,644,741,521,830,733,785,306,088,742,
655,124,563,909,170,428,852,299,397,495,050,606,482,514,122,793,921,519,427,
446,317,265,791,385,077,792,291,906,256,215,569,259,478,396,355,959,523,338,
977,363,066,340,509,964,314,421,241,613,365,670,654,275,889,030,279,132,188,
772,789,131,821,504,220,641,642,751,668,956,372,205,325,319,683,639,334,413,
688,509,155,061,703,035,236,071,163,864,248,702,453,238,237,030,434,654,221,
700,092,566,884,006,146,087,511,416,219,375,903,487,326,248,185,868,490,978,
785,916,401,997,200,272,824,915,201,852,640,070,092,385,083,799,160,063,808,
407,951,409,241,961,025,781,923,421,296,615,053,964,100,664,186,791,889,427,
306,729,779,100,275,826,638,536,639,685,762,365,430,919,333,729,144,863,574,
251,058,985,250,136,444,063,022,846,011,423,524,127,853,831,733,222,959,661,
252,620,863,566,370,533,459,668,045,087,684,379,624,775,308,191,447,256,432,
682,874,221,498,234,834,725,539,441,887,203,852,365,830,619,876,083,298,564,
977,701,794,757,041,537,126,340,296,184,083,030,646,351,115,932,819,508,918,
971,853,039,709,366,015,843,511,452,209,277,433,127,550,078,904,772,479,277,
775,302,595,280,969,901,187,814,024,430,029,529,073,766,154,210,123,851,452,
617,455,887,451,916,004,367,889,857,126,398,180,847,271,713,193,702,028,960,
723,517,877,025,040,614,210,745,443,765,075,928,887,374,762,766,716,708,370,
817,678,690,996,981,292,460,678,884,926,543,661,033,257,212,721,297,709,750,
035,763,923,438,501,656,933,444,761,115,813,002,182,098,800,335,797,332,694,
495,196,735,034,490,816,280,679,538,324,607,393,968,397,284,463,989,974,404,
059,146,758,358,561,045,626,357,963,274,166,799,492,437,571,339,298,574,525,
652,813,859,611,742,124,825,860,414,759,319,617,279,733,574,970,184,548,514,
993,739,141,557,251,945,515,669,014,015,237,145,474,186,889,671,061,675,004,
263,211,662,814,744,892,760,180,132,512,128,790,290,432,894,210,034,335,589,
638,202,474,918,342,878,784,450,298,874,282,137,906,569,886,311,583,810,447,
674,314,810,040,453,292,138,928,800,189,881,409,886,882,642,320,334,873,055,
401,015,179,569,299,659,995,929,033,889,791,976,272,288,074,867,917,276,840,
211,238,108,373,933,497,300,364,665,701,820,935,317,879,331,227,017,665,973,
723,581,657,366,899,371,897,082,411,201,878,046,259,088,416,037,745,238,901,
564,170,193,849,109,962,787,019,918,687,624,281,704,696,986,163,895,212,916,
606,724,448,448,651,864,705,862,670,323,227,049,096,576,812,272,341,214,608,
598,680,235,069,455,706,148,190,905,571,331,049,045,321,655,635,202,371,247,
518,519,336,602,763,691,946,316,997,816,995,990,422,767,028,877,135,408,085,
846,021,534,895,914,507,143,111,150,770,503,209,373,467,505,115,908,920,373,
200,444,357,337,051,240,746,358,666,421,365,733,627,535,846,193,869,638,291,
980,878,660,460,988,512,702,166,529,890,752,083,631,528,689,659,579,130,798,
743,768,141,705,450,857,938,567,348,201,042,848,686,219,570,955,993,067,335,
448,911,437,510,486,660,291,714,403,603,775,931,902,619,070,449,464,282,100,
044,008,982,952,833,914,323,319,471,343,513,328,567,548,361,517,511,278,507,
070,430,191,325,232,229,416,419,727,916,058,697,748,789,444,617,599,217,596,
482,609,450,170,756,592,863,842,289,286,135,563,038,614,894,386,322,355,915,
139,141,952,721,555,576,004,626,468,987,177,025,237,779,931,960,408,896,032,
499,130,073,533,957,329,547,042,156,452,445,313,656,494,398,882,340,040,256,
788,095,458,989,612,793,365,988,199,002,074,247,374,981,509,133,493,623,647,
360,384,060,345,785,539,552,369,703,470,031,636,283,852,998,036,193,347,601,
383,510,241,868,205,862,101,877,731,042,954,298,564,196,145,222,705,144,096,
481,294,691,146,569,435,755,057,606,358,081,766,176,328,780,281,381,888,589,
458,825,783,469,069,220,679,774,351,782,127,865,058,181,600,441,083,555,622,
662,673,380,567,005,747,373,582,499,493,291,007,557,458,294,339,049,494,966,
688,876,334,492,037,790,566,731,646,293,500,652,444,229,352,555,075,166,675,
145,181,258,854,895,004,861,503,720,210,078,494,064,153,849,537,113,055,272,
712,231,575,125,608,347,615,063,672,185,150,064,645,050,799,942,303,959,290,
667,323,286,759,942,995,480,422,694,481,191,758,625,163,967,953,424,844,645,
856,215,483,271,029,676,651,353,248,432,441,958,829,933,862,401,047,980,240,
079,054,237,259,973,354,046,252,855,979,579,676,417,332,409,392,759,480,925,
336,280,637,249,593,721,953,809,295,524,162,318,349,520,504,839,510,491,177,
847,561,103,385,706,038,817,495,741,381,301,651,299,698,614,847,491,736,431,
731,451,608,867,792,468,927,127,880,414,152,640,865,437,309,822,049,338,841,
083,119,232,921,578,355,069,422,137,379,079,824,705,567,877,656,795,599,227,
115,526,982,377,934,474,463,476,215,533,628,032,181,300,338,713,132,747,661,
458,034,400,463,567,140,103,007,685,925,114,232,680,266,660,465,972,005,070,
358,129,109,892,055,789,933,874,894,868,331,518,685,457,455,298,558,306,042,
069,759,948,765,085,185,429,596,803,444,520,209,604,606,807,789,182,796,379,
861,887,668,965,492,832,178,791,931,766,516,568,662,415,190,986,597,264,326,
222,842,791,209,388,051,590,758,202,475,587,365,080,766,998,397,231,746,752,
579,365,689,527,669,310,305,869,110,727,266,303,480,264,037,876,042,063,163,
281,832,599,025,821,295,588,014,798,371,179,470,892,006,008,271,432,566,111,
934,837,668,974,336,622,183,305,477,201,336,484,410,374,537,018,550,177,978,
323,141,590,638,847,819,192,627,739,414,201,430,861,943,958,951,730,282,550,
884,617,318,274,217,336,363,638,880,753,051,650,484,464,535,147,200,284,360,
697,265,341,429,561,791,159,501,104,814,032,039,513,586,129,482,800,837,553,
842,202,915,059,880,182,990,317,443,748,970,756,604,287,377,952,562,939,871,
912,281,374,359,093,203,982,346,544,844,431,442,268,663,038,383,537,099,663,
611,140,402,190,444,971,514,719,606,355,805,523,953,165,635,567,151,575,727,
652,979,977,829,555,339,982,346,880,083,081,351,469,116,966,703,018,151,226,
768,691,179,800,825,909,416,420,127,227,967,502,217,828,166,851,139,706,708,
147,665,263,551,231,650,887,538,103,774,015,931,382,763,407,073,631,129,446,
907,729,054,520,867,416,931,976,290,644,253,985,014,959,497,677,249,083,100,
821,331,621,591,540,462,546,021,864,863,650,698,669,405,033,227,295,358,539,
156,970,847,191,259,114,173,534,594,190,160,659,942,738,243,982,312,137,390,
074,169,335,633,925,732,326,824,357,896,684,186,111,594,570,849,163,373,068,
314,422,632,206,092,180,057,195,650,474,340,475,964,504,809,949,209,841,831,
858,709,050,273,573,332,088,707,557,157,009,616,134,631,727,776,718,600,089,
928,908,361,704,620,897,706,418,564,931,760,143,836,995,337,341,167,557,134,
036,111,729,946,499,417,032,820,481,050,162,173,509,868,284,418,182,731,528,
671,043,455,452,005,326,659,350,827,022,361,348,403,154,716,193,155,375,418,
287,793,417,128,641,893,232,097,049,386,071,569,283,463,210,006,491,538,689,
460,124,307,699,013,205,049,309,423,985,871,909,153,300,527,414,368,110,777,
533,346,801,979,016,646,062,502,543,962,513,033,726,098,476,027,788,313,857,
008,333,232,322,070,110,395,030,757,593,004,163,095,064,127,911,567,932,223,
893,105,503,607,568,999,624,846,484,280,780,932,542,855,141,158,727,039,285,
506,603,791,266,516,988,515,160,070,160,259,017,482,135,224,688,318,685,572,
226,943,696,754,217,063,728,194,629,043,882,891,981,419,528,428,025,728,362,
374,047,985,714,341,449,629,262,551,476,241,412,143,181,933,249,000,964,716,
188,050,769,282,235,781,415,827,535,001,259,991,068,737,920,733,643,743,028,
877,985,716,998,832,601,057,315,722,297,825,061,232,140,502,072,388,312,182,
985,130,326,836,977,000,825,752,934,253,266,987,105,620,331,345,204,190,896,
725,242,600,531,858,675,359,808,839,318,709,968,683,631,701,832,811,087,395,
817,516,761,449,078,811,661,415,368,106,029,525,989,571,933,759,898,174,107,
444,226,219,793,051,097,936,164,864,416,191,622,735,495,315,138,724,231,955,
816,831,429,038,041,515,373,084,419,017,281,071,271,051,672,871,442,866,937,
451,434,473,661,500,458,815,661,466,250,991,947,356,557,874,396,652,021,923,
925,363,041,014,315,160,520,900,807,826,338,498,507,336,473,636,546,350,047,
905,893,145,985,910,896,054,093,768,333,077,955,809,440,368,037,053,563,650,
335,505,347,632,986,765,267,036,311,233,245,024,790,347,687,391,143,228,505,
275,914,103,317,038,167,699,108,324,884,398,094,027,860,552,476,258,499,242,
368,076,528,158,311,367,714,673,792,948,875,307,668,015,184,230,197,826,557,
873,868,479,191,396,481,494,591,290,303,285,053,900,671,134,922,283,498,567,
627,543,599,931,727,406,105,794,947,089,454,231,059,971,048,496,905,526,772,
872,950,250,389,745,845,194,845,979,431,976,902,405,579,292,517,046,417,681,
500,904,057,972,142,706,025,669,406,148,148,776,060,328,459,516,150,964,761,
728,844,791,903,016,976,482,722,100,619,056,245,092,918,854,985,721,193,157,
808,554,011,710,004,277,598,469,318,187,178,325,591,206,587,295,510,183,065,
724,115,963,222,106,130,906,421,270,055,306,942,808,231,654,459,975,037,004,
457,441,783,733,900,779,997,267,802,867,058,834,624,587,704,926,430,581,946,
497,266,185,763,866,389,003,636,855,848,521,748,150,397,602,516,051,432,158,
062,478,138,813,469,166,093,624,317,598,445,584,217,087,364,647,715,135,534,
808,894,545,603,885,028,473,903,242,388,107,016,262,964,633,149,419,688,529,
800,867,583,629,068,176,380,316,107,130,104,027,295,215,120,468,264,418,327,
851,081,778,889,286,253,732,351,092,690,088,805,547,462,958,277,410,337,533,
865,044,625,807,714,821,003,735,259,281,943,505,877,118,190,252,612,739,561,
606,755,661,110,258,412,488,312,971,265,018,949,622,347,216,227,950,365,188,
087,750,874,635,330,076,652,404,916,967,535,599,267,051,476,502,614,079,993,
963,925,515,135,852,703,012,100,843,883,367,041,750,258,260,045,115,745,579,
170,676,328,387,671,684,397,525,497,703,533,261,663,124,027,482,228,156,558,
542,905,408,361,420,722,769,474,487,025,843,377,464,733,556,672,572,014,451,
637,486,954,511,289,461,755,016,366,840,733,870,119,563,366,459,091,197,432,
091,744,320,389,336,405,329,751,806,213,607,115,207,885,452,658,616,975,337,
112,084,677,454,121,853,497,375,037,813,057,020,725,589,807,279,380,865,114,
997,309,082,674,088,991,024,919,812,713,562,348,987,628,796,212,300,515,555,
490,086,004,742,814,961,127,676,549,712,504,687,514,344,901,591,201,508,413,
928,099,868,163,990,924,302,940,674,442,917,514,171,222,523,241,153,917,494,
185,337,795,233,599,994,533,012,705,396,723,972,594,953,920,096,507,274,904,
809,744,982,136,566,581,880,502,877,467,517,792,081,528,842,603,347,341,137,
874,466,542,328,071,234,237,675,741,864,617,911,198,997,990,799,115,484,927,
071,274,244,013,386,972,489,013,380,683,722,121,713,658,574,850,865,167,607,
374,255,249,070,202,618,267,485,528,144,293,906,065,704,146,753,147,819,931,
382,897,867,195,714,205,007,816,245,375,298,099,113,229,305,154,029,447,673,
633,345,637,459,510,243,428,575,291,544,473,914,959,468,350,160,668,786,007,
256,129,976,364,895,833,647,789,648,350,402,743,203,691,848,081,094,546,214,
594,588,520,525,565,784,725,318,945,652,869,191,165,776,418,954,902,533,037,
788,347,690,122,322,751,058,545,504,267,166,877,678,350,746,410,575,526,457,
644,894,431,705,149,884,183,762,792,060,635,103,408,268,425,720,578,443,569,
084,572,440,550,695,594,531,932,801,672,475,368,714,022,546,398,364,169,046,
979,876,235,724,064,881,897,566,413,737,919,456,322,115,350,853,165,009,564,
867,127,481,186,031,553,635,424,287,969,365,646,473,694,112,461,891,535,344,
710,988,877,927,764,274,193,981,078,271,085,774,004,445,482,589,679,583,427,
330,943,375,429,120,640,025,621,363,192,518,546,844,665,094,906,496,378,955,
069,730,449,418,745,430,999,406,434,349,191,181,255,975,617,793,909,489,468,
255,744,259,104,389,721,111,358,558,671,797,387,790,241,635,333,932,551,472,
579,065,972,182,525,723,990,610,004,339,067,667,121,917,973,159,045,185,355,
457,052,095,419,765,608,321,766,966,122,270,502,951,485,011,791,917,710,275,
917,643,831,714,153,772,113,152,150,207,312,799,433,037,742,515,709,548,786,
571,785,196,239,205,770,090,275,664,999,317,680,912,769,082,513,520,447,343,
562,386,063,139,313,522,066,035,686,573,950,109,911,225,837,573,037,402,436,
538,490,260,101,155,368,962,064,272,335,463,555,381,616,456,262,336,835,076,
315,300,635,937,745,475,127,195,620,697,759,158,171,402,263,164,789,949,817,
880,352,968,468,574,751,588,524,444,758,480,469,589,691,662,083,417,015,095,
907,958,962,739,105,510,854,188,662,955,912,746,711,014,010,094,825,819,541,
380,033,915,934,715,232,322,809,392,001,054,239,570,181,085,699,826,116,686,
368,069,214,877,352,293,048,682,969,813,334,139,081,914,197,290,325,167,685,
110,979,162,814,262,363,012,914,839,994,368,055,384,037,803,635,536,345,902,
253,648,878,880,482,057,788,206,174,733,258,994,528,840,199,297,620,623,626,
506,941,721,119,253,226,782,533,087,286,925,100,203,806,858,429,664,115,719,
750,910,869,838,474,727,574,909,785,141,609,468,672,010,663,284,940,002,597,
273,685,079,899,272,992,383,230,039,420,466,004,324,771,654,952,612,479,068,
317,775,150,903,751,161,807,168,536,272,683,293,853,789,710,971,085,186,971,
986,925,631,352,040,535,823,458,376,423,190,808,444,535,263,317,580,777,316,
162,958,819,793,918,083,343,184,342,166,752,564,830,232,288,777,639,994,169,
894,444,444,529,999,097,008,356,965,280,353,110,679,660,568,618,359,688,916,
343,651,155,160,283,132,642,308,433,874,305,960,898,144,675,716,721,535,417,
118,505,312,547,221,830,499,771,498,686,973,142,508,416,836,928,956,815,210,
412,556,492,912,583,122,853,820,252,316,567,718,831,055,502,497,453,019,936,
538,667,040,589,666,122,604,606,532,417,109,944,989,120,865,473,593,834,052,
699,646,084,443,017,036,290,095,453,809,734,969,915,091,248,095,673,906,861,
758,237,236,920,952,855,955,542,684,557,033,367,398,933,148,349,669,518,416,
863,136,109,193,648,648,238,755,651,519,064,199,953,037,348,481,506,786,760,
523,768,598,089,285,575,351,085,091,875,283,925,237,239,289,838,958,835,853,
237,063,471,570,292,077,361,236,141,836,456,123,384,582,406,103,940,640,560,
014,886,874,684,778,697,233,904,730,909,344,615,079,657,903,626,069,405,433,
153,302,430,697,555,427,611,777,105,636,060,588,345,886,137,552,233,228,706,
011,823,566,455,355,528,757,325,813,488,538,962,746,063,063,866,120,013,530,
352,334,879,864,689,161,844,293,815,862,238,609,892,568,924,314,547,149,187,
433,986,101,209,261,651,855,017,134,205,963,543,794,748,572,529,471,536,244,
960,694,712,736,009,390,440,191,345,995,576,822,213,273,854,713,817,142,053,
704,761,596,160,790,163,671,696,111,641,351,338,551,916,806,100,819,658,630,
371,048,312,050,716,412,289,897,888,458,047,599,032,190,459,282,368,892,275,
478,122,267,187,755,923,438,748,979,650,071,835,828,922,842,073,764,172,396,
506,304,074,668,112,724,504,716,057,451,719,312,925,440,032,196,274,625,202,
989,198,195,710,809,465,826,607,439,206,984,464,074,685,371,216,436,779,736,
083,718,467,932,850,400,926,906,265,175,090,537,604,982,183,780,949,703,365,
156,933,433,961,168,910,005,328,946,400,075,596,648,276,956,187,980,647,823,
806,145,828,512,744,880,691,670,143,698,476,735,627,250,891,790,943,986,657,
435,982,430,350,830,798,138,255,044,312,578,325,660,741,987,730,279,907,892,
885,031,960,303,605,492,990,365,581,594,235,638,374,255,285,759,702,392,321,
304,501,240,458,012,874,574,399,150,566,577,092,851,452,960,667,076,136,366,
600,753,359,548,598,869,754,660,821,876,951,236,724,649,716,465,733,988,146,
927,034,127,003,763,630,238,287,486,674,985,110,505,449,845,235,269,499,233,
198,397,355,579,154,396,516,821,497,027,687,665,343,780,236,926,512,404,578,
577,682,397,093,930,172,615,909,044,563,736,864,265,433,033,785,414,935,401,
049,640,325,286,860,894,190,884,282,340,726,337,690,504,488,999,250,945,922,
304,336,626,723,769,538,064,097,640,176,455,126,510,010,570,121,115,671,889,
486,307,127,602,697,022,457,770,118,196,399,932,143,231,524,957,041,253,774,
993,045,823,344,684,742,505,160,833,171,742,920,840,225,061,016,462,247,719,
006,652,976,553,415,209,632,157,193,696,976,800,213,310,523,527,096,242,764,
883,792,991,026,649,639,154,743,439,700,051,148,888,159,305,138,628,891,445,
016,162,224,320,590,199,971,472,741,215,082,234,426,443,660,047,900,046,974,
030,620,633,749,886,478,484,849,456,351,594,229,508,076,213,702,423,132,028,
631,814,409,432,584,763,343,658,624,179,417,871,938,647,041,876,663,117,969,
242,695,516,733,169,439,525,410,566,471,231,730,830,866,189,241,087,187,399,
049,608,864,834,798,032,702,798,269,828,934,313,822,650,796,297,362,504,722,
368,572,651,197,693,646,312,277,300,110,773,987,651,742,887,650,851,350,252,
923,623,113,999,199,877,411,351,354,499,031,924,155,197,856,228,581,699,099,
746,542,980,214,484,898,848,542,230,499,230,523,677,174,832,948,346,580,401,
655,132,951,965,699,136,914,819,597,656,538,400,371,433,679,252,310,026,899,
667,419,143,159,704,072,144,134,447,190,020,571,681,038,704,760,324,775,248,
141,652,341,266,836,824,721,923,688,616,454,720,137,938,995,278,446,437,279,
551,394,887,804,395,935,124,534,176,633,732,442,904,770,504,123,722,142,750,
552,779,365,931,570,213,974,120,905,242,643,109,628,341,414,901,187,662,140,
487,025,237,498,804,346,103,642,786,450,081,863,339,568,139,195,166,780,652,
927,898,712,776,988,693,850,453,726,750,340,677,676,937,367,347,757,197,393,
594,624,188,095,892,498,056,622,610,853,319,874,326,208,340,308,715,259,361,
355,675,164,980,838,407,225,217,351,437,884,678,636,326,036,222,541,111,096,
799,512,802,416,613,090,385,808,825,981,730,823,891,006,247,983,266,015,982,
015,734,462,543,717,345,045,415,828,341,888,266,402,459,208,624,852,553,794,
805,960,680,789,868,557,777,435,839,205,926,575,262,872,379,654,752,183,924,
104,359,108,456,858,084,209,071,675,838,186,227,746,704,143,792,905,492,978,
515,709,311,360,248,528,432,752,034,327,827,595,815,125,105,705,666,847,090,
712,464,598,607,716,344,733,266,500,385,175,418,341,293,235,525,329,278,664,
972,841,989,250,515,328,530,092,143,976,726,811,398,555,091,701,384,031,653,
042,419,377,256,833,831,258,384,326,203,801,728,680,432,066,910,346,306,626,
498,833,085,300,557,396,450,876,479,766,097,400,615,301,617,186,176,799,747,
657,004,420,188,333,810,308,759,335,058,851,624,024,491,210,363,188,160,099,
697,317,626,119,709,311,559,803,097,346,796,104,044,932,126,789,764,617,894,
597,680,754,837,490,599,298,462,341,487,200,682,754,456,766,991,760,125,677,
703,532,867,125,271,386,847,665,631,684,370,262,949,856,012,892,920,985,887,
158,009,064,619,001,375,058,303,357,167,690,444,163,174,008,430,224,099,938,
523,926,576,898,766,842,561,838,259,170,082,429,032,792,064,573,637,854,637,
367,114,044,899,809,236,015,684,154,625,128,127,994,772,858,401,196,238,653,
537,296,994,939,613,240,249,428,976,547,811,409,588,692,163,494,915,021,999,
335,950,659,357,647,828,319,900,563,156,043,871,868,550,981,526,046,673,463,
948,243,398,886,501,855,930,561,609,183,264,391,152,238,448,994,639,490,660,
351,474,809,563,543,535,037,641,581,065,913,010,352,583,314,390,585,909,697,
233,559,697,305,733,896,537,545,115,586,148,902,987,341,001,771,716,531,175,
018,223,253,263,140,011,817,451,420,159,526,273,077,160,871,215,559,895,295,
346,273,609,029,607,953,994,804,094,629,571,745,043,991,362,297,030,732,871,
821,498,440,238,498,591,060,002,241,537,621,771,205,553,969,577,749,954,259,
177,820,057,613,194,796,619,883,906,935,424,236,727,094,107,333,750,511,419,
933,387,433,973,730,757,422,607,014,242,215,222,256,621,491,232,135,305,693,
707,115,781,315,762,152,724,602,687,569,344,045,489,543,819,055,322,027,344,
241,936,778,814,288,636,719,043,408,010,087,739,582,974,246,283,992,832,992,
898,446,692,286,302,069,237,479,122,474,305,377,325,062,824,808,489,545,393,
491,308,428,308,949,131,959,177,746,880,455,314,952,106,664,189,971,999,613,
898,968,988,763,142,038,371,378,119,544,082,444,700,938,143,920,857,494,399,
472,049,547,980,210,461,674,405,783,669,884,324,295,651,363,592,094,239,179,
974,419,715,291,219,608,362,531,020,277,164,038,915,059,670,084,842,274,338,
802,510,680,298,775,381,944,053,773,805,125,620,704,530,599,470,154,879,568,
822,752,258,348,449,566,765,791,073,660,499,432,459,206,447,187,147,841,127,
671,776,934,736,922,184,407,368,664,391,573,767,050,573,069,916,958,662,165,
024,946,705,402,551,924,705,455,369,590,312,809,741,831,697,841,654,344,783,
130,736,863,365,806,894,003,997,355,320,007,177,985,481,172,192,650,146,064,
243,661,817,882,147,812,379,612,800,821,276,937,700,804,965,592,597,612,359,
562,062,437,669,832,345,596,348,700,697,568,395,238,586,864,246,379,925,515,
255,770,420,788,820,915,641,130,516,432,512,005,874,508,442,247,061,948,323,
868,074,974,163,102,871,298,360,686,065,770,152,826,766,968,648,108,081,550,
046,222,323,266,738,855,310,632,785,700,522,231,614,000,522,585,508,421,055,
317,371,104,176,564,318,555,484,424,195,975,177,915,390,560,784,309,534,416,
826,714,633,214,728,379,116,637,886,511,168,356,709,085,371,438,997,714,954,
750,938,168,475,119,024,688,103,966,419,100,414,963,574,520,713,615,795,575,
247,202,940,866,815,125,620,695,348,650,327,795,078,460,757,061,303,304,556,
451,285,526,618,449,360,294,252,082,558,397,423,417,054,063,157,117,059,835,
326,284,286,973,565,056,049,379,955,751,861,539,194,624,968,777,221,729,302,
498,907,680,798,871,049,756,987,731,263,993,410,879,162,986,972,903,399,961,
799,428,886,864,172,126,463,951,115,854,340,546,176,443,706,765,950,410,287,
051,202,953,183,315,381,861,845,440,510,740,495,260,980,774,802,708,184,323,
528,693,337,221,282,979,733,360,805,862,314,683,658,808,130,522,641,625,943,
615,623,746,452,118,014,492,847,246,435,801,724,503,113,311,288,770,262,163,
475,159,526,456,019,822,655,363,479,010,876,876,908,273,315,044,420,787,224,
034,575,773,575,730,783,080,665,841,447,148,484,122,312,570,661,936,237,619,
901,255,513,522,210,145,682,493,776,350,018,697,748,117,437,546,964,543,757,
929,047,854,951,844,935,361,896,489,298,221,165,062,446,725,077,541,091,783,
372,587,742,983,849,114,789,255,420,713,839,288,178,407,499,102,953,599,511,
624,390,443,597,467,245,012,036,901,647,888,222,034,107,871,952,476,832,067,
183,376,971,368,177,546,744,845,289,878,299,814,481,868,649,305,913,266,650,
673,861,789,430,853,678,555,005,846,332,404,490,506,836,338,988,960,330,962,
485,019,503,331,459,597,121,359,089,288,508,379,744,066,163,218,422,830,876,
900,176,962,686,248,118,364,305,016,561,719,969,981,572,151,290,351,604,040,
049,905,335,304,195,123,897,875,501,118,574,830,509,520,188,093,603,441,853,
053,406,788,703,046,326,176,351,471,223,678,659,870,885,149,700,017,884,193,
887,445,428,434,109,602,186,532,315,195,406,544,725,569,337,284,006,513,060,
285,058,933,029,988,668,944,978,187,991,588,981,167,331,411,066,931,900,426,
032,227,234,661,270,547,743,146,577,263,844,587,176,211,652,150,439,804,235,
814,382,004,725,732,020,045,397,117,542,449,595,766,688,536,607,512,269,947,
680,940,733,284,733,754,120,048,118,083,803,841,596,242,055,781,084,437,569,
114,717,879,543,600,013,011,079,424,490,726,516,251,979,522,026,173,699,936,
113,886,441,492,117,010,179,613,934,211,690,406,029,281,521,902,115,942,414,
897,223,770,479,373,245,256,058,515,125,579,671,803,706,595,799,240,292,948,
109,283,790,137,221,009,597,481,379,451,319,109,683,999,798,614,751,976,353,
874,382,386,991,346,812,628,043,340,461,633,785,199,462,540,690,879,672,349,
748,535,896,420,083,304,783,989,015,611,994,443,513,395,341,371,649,971,437,
456,926,458,377,405,040,532,035,296,316,046,961,800,707,344,843,361,828,799,
894,751,819,892,585,369,118,574,633,926,256,650,267,478,363,325,207,362,997,
309,481,747,599,073,617,283,817,379,796,012,967,530,046,200,243,251,817,757,
640,474,517,878,407,632,610,566,202,548,285,657,824,744,425,877,041,212,392,
516,877,697,853,551,020,760,150,819,466,756,262,358,958,877,565,611,004,534,
848,866,177,975,170,350,768,093,877,542,063,122,398,024,194,621,024,070,671,
972,927,537,510,530,572,357,546,537,197,875,336,841,152,748,497,640,602,752,
537,484,670,417,261,102,825,867,152,989,631,880,794,067,206,922,492,448,259,
964,622,481,329,093,878,198,433,583,525,372,355,789,612,254,954,101,905,590,
430,273,304,398,299,614,239,994,508,204,973,640,270,407,741,246,329,119,273,
271,636,360,393,776,965,204,007,874,279,538,116,878,984,874,961,527,550,956,
648,418,786,802,113,602,479,017,466,086,988,526,987,488,734,133,817,295,327,
454,723,935,980,440,239,172,498,009,251,787,854,557,531,488,644,209,339,076,
471,068,193,025,468,446,805,499,760,595,131,980,644,780,514,862,837,633,361,
681,729,408,827,204,588,500,218,725,435,961,136,184,814,416,552,240,072,073,
543,468,971,071,445,561,481,634,975,755,959,559,312,261,457,052,883,517,431,
419,916,181,767,295,687,665,775,368,430,189,259,943,600,778,135,014,749,702,
548,176,032,137,922,229,269,713,522,920,271,666,543,522,186,158,695,909,758,
055,918,423,095,367,801,173,076,358,873,283,738,661,000,670,502,636,907,979,
518,293,148,833,651,928,088,414,817,558,684,719,939,685,756,079,265,280,939,
952,829,395,535,394,616,522,457,604,613,809,733,596,330,008,532,303,042,380,
549,586,793,366,557,336,461,019,430,094,363,047,998,210,276,428,397,694,778,
098,737,835,328,687,432,340,566,307,601,921,308,595,080,129,294,363,055,298,
046,401,411,681,244,492,900,686,072,621,276,285,034,066,345,292,239,068,848,
791,863,037,359,119,903,031,702,301,189,495,051,252,488,469,576,763,585,154,
078,694,887,435,810,069,474,832,080,884,327,590,769,800,160,659,062,452,908,
483,503,178,079,226,676,400,829,939,692,714,357,529,678,789,512,315,632,726,
878,962,530,438,782,143,342,760,043,433,522,844,238,904,606,961,080,225,134,
572,748,092,490,953,983,909,968,348,995,834,718,366,989,931,135,777,306,904,
542,491,074,341,418,246,270,223,248,274,830,798,454,901,055,300,929,654,929,
153,554,995,052,845,405,949,181,041,541,361,662,960,176,172,663,610,977,915,
915,399,094,723,583,953,772,044,146,806,638,480,906,417,971,441,443,549,234,
915,582,727,839,751,752,265,231,186,792,575,608,660,915,341,880,463,375,567,
776,332,713,425,536,337,494,968,277,071,551,477,767,479,808,821,869,292,624,
156,364,984,614,392,115,977,880,621,281,646,019,808,367,368,214,922,929,310,
316,267,545,512,945,046,489,696,338,675,728,680,067,375,302,409,680,140,392,
375,815,176,909,142,141,672,423,747,982,270,244,976,353,395,608,919,835,384,
553,869,857,564,725,155,564,685,818,934,916,807,836,764,077,018,661,063,894,
582,970,644,482,049,490,244,121,244,670,171,465,870,741,023,008,378,275,808,
242,461,052,979,068,228,570,888,162,671,334,314,880,151,426,355,987,011,568,
133,736,557,296,289,542,771,772,251,112,299,075,297,940,089,784,924,633,301,
266,344,241,398,788,404,446,717,273,390,014,600,676,612,172,029,421,097,701,
648,354,391,383,162,284,450,767,040,026,373,098,347,201,462,759,847,038,153,
341,062,412,322,835,188,377,768,562,249,074,860,471,945,580,185,506,672,892,
058,964,031,874,681,368,195,100,211,615,204,988,543,291,466,089,753,599,454,
026,304,486,905,595,043,024,673,503,816,351,477,034,878,998,790,624,143,356,
833,640,012,907,397,893,892,645,989,873,624,251,607,951,014,076,146,873,882,
400,053,882,879,288,251,472,690,850,966,325,976,932,366,532,764,416,242,908,
746,256,761,047,855,615,889,694,770,834,444,588,010,135,681,207,899,005,345,
635,683,131,497,301,165,375,331,798,285,462,443,480,448,699,379,718,908,274,
495,846,190,511,085,500,222,703,919,274,999,817,759,857,261,301,459,109,537,
610,864,373,393,819,208,081,756,592,404,138,035,852,747,020,090,828,690,004,
627,565,072,329,950,456,444,301,916,985,268,789,311,963,659,244,641,590,833,
630,206,536,542,860,200,067,378,519,737,272,118,313,367,811,229,865,770,269,
733,112,707,426,447,773,204,778,021,129,287,456,787,444,020,349,194,305,722,
712,495,232,624,956,508,053,859,283,516,236,290,933,407,357,513,976,933,590,
864,532,337,870,061,760,905,963,153,908,293,234,942,985,248,701,599,490,115,
538,417,359,885,352,584,541,131,713,265,925,787,257,532,292,647,180,525,727,
122,135,192,744,176,953,090,237,664,690,979,350,051,067,331,747,790,409,851,
115,703,530,615,910,011,966,705,607,091,851,761,685,999,948,280,461,168,676,
166,767,508,321,972,257,342,400,190,711,174,952,413,888,401,725,825,819,766,
694,289,519,733,311,112,601,925,223,142,859,686,453,350,585,271,392,300,306,
378,829,047,913,340,239,815,674,786,620,654,154,489,442,879,066,645,646,748,
287,173,878,501,781,449,832,228,982,164,799,949,090,491,427,588,240,525,631,
562,406,835,545,039,491,548,253,419,287,137,062,087,658,249,864,166,119,018,
589,234,376,190,982,433,797,226,061,410,104,703,493,036,653,738,060,685,560,
466,708,109,609,934,371,525,415,938,806,442,297,769,308,321,950,840,902,092,
729,515,344,293,233,826,419,171,384,289,314,776,793,457,710,315,910,039,571,
436,282,924,953,978,317,061,388,916,768,629,247,180,090,471,497,767,183,375,
193,349,964,362,867,920,047,537,561,329,470,908,557,706,876,202,621,476,276,
354,551,607,472,200,514,317,006,540,934,111,235,640,408,456,199,048,606,114,
030,188,091,954,149,548,432,649,473,681,300,752,338,173,957,538,630,531,810,
553,879,057,860,175,518,903,783,676,620,334,453,934,980,574,644,368,996,084,
858,451,789,062,950,351,321,291,166,411,151,682,057,987,609,188,173,350,874,
721,163,900,331,416,514,817,438,758,051,776,393,760,866,633,557,943,668,770,
718,674,004,965,953,014,386,444,183,558,263,075,962,225,483,436,603,779,424,
493,735,610,728,031,489,768,234,254,528,402,729,712,806,907,309,611,149,394,
093,138,804,055,852,556,694,224,235,315,022,372,334,765,028,618,780,299,931,
183,383,442,527,550,849,538,519,897,796,272,090,288,283,006,266,126,709,027,
624,615,204,196,007,326,448,067,518,470,170,689,316,209,107,855,358,161,191,
984,349,082,494,144,309,807,891,456,626,193,719,436,676,817,790,891,927,485,
613,735,359,598,811,813,777,189,447,280,709,080,818,531,992,083,687,914,322,
642,003,419,206,450,475,864,091,431,533,515,196,919,178,465,122,840,798,128,
460,729,508,969,188,689,696,897,795,141,879,421,076,619,797,130,562,253,000,
831,404,644,616,978,846,442,542,536,307,527,332,246,588,418,231,379,859,174,
769,244,549,943,926,727,006,497,470,205,786,102,954,297,325,185,933,992,877,
385,340,983,407,502,570,673,574,383,363,279,961,546,822,541,382,019,194,130,
194,501,297,534,845,602,627,761,011,118,660,646,113,661,260,464,705,171,442,
539,258,598,718,150,905,114,651,928,943,617,279,671,538,879,567,604,139,114,
225,724,559,433,737,950,454,386,192,289,304,735,388,878,125,482,503,009,955,
514,405,469,746,205,705,064,978,089,479,539,115,883,080,074,109,687,816,013,
198,179,918,986,527,230,919,618,700,258,052,323,735,023,252,481,156,623,753,
844,420,252,458,948,916,983,961,998,730,233,871,303,424,767,225,304,663,978,
841,633,262,795,311,085,980,053,136,644,472,730,154,004,368,941,516,108,108,
437,504,666,200,663,976,675,357,665,235,188,699,091,437,104,898,168,613,946,
957,797,931,190,951,498,681,753,012,138,628,577,071,532,647,285,070,092,769,
601,724,758,096,856,452,456,234,245,247,708,855,496,291,224,893,028,727,735,
649,052,660,534,649,413,485,234,550,925,416,319,949,239,480,995,880,160,298,
598,225,598,912,499,371,938,708,089,682,689,817,778,818,167,912,675,417,423,
401,562,831,356,122,609,079,448,847,813,026,546,814,669,460,341,335,337,644,
402,471,266,904,716,934,356,022,476,170,465,627,149,237,076,776,115,305,308,
164,834,948,533,173,741,986,203,578,208,779,232,082,075,976,280,877,146,797,
775,854,259,402,658,034,882,867,339,845,968,048,657,515,899,069,101,503,292,
780,132,377,564,411,382,186,677,088,641,425,797,169,001,190,872,332,204,394,
884,390,695,953,318,459,867,597,937,793,925,196,034,601,973,190,733,548,418,
110,953,664,632,402,828,957,838,191,548,940,998,723,656,027,833,671,335,422,
285,530,989,646,053,943,716,278,068,167,604,784,362,051,142,743,784,855,701,
477,401,993,405,933,093,329,903,943,559,410,939,027,359,156,785,588,030,891,
735,481,463,158,092,731,188,454,464,789,077,805,411,525,134,265,339,166,702,
817,326,529,877,874,420,870,497,198,199,218,675,631,527,509,488,663,137,314,
537,232,979,120,075,490,935,416,243,559,729,270,381,024,509,687,790,207,794,
725,068,330,100,639,667,855,361,558,326,135,997,468,484,542,476,153,466,309,
980,618,859,036,586,323,396,026,568,145,267,455,125,478,235,373,276,175,964,
259,522,256,555,109,791,579,284,284,090,200,676,257,877,833,303,901,733,691,
450,345,779,385,831,515,432,998,669,538,791,238,607,769,075,942,779,502,840,
505,644,966,800,344,522,562,011,055,959,295,665,148,112,339,007,532,662,392,
202,098,885,647,715,610,066,469,678,303,088,622,134,358,204,446,033,354,292,
832,438,590,475,646,351,537,806,746,045,482,470,212,600,428,752,272,681,893,
647,672,543,062,088,333,809,375,796,938,526,347,950,460,487,546,427,943,110,
348,995,279,512,543,594,069,389,581,447,311,188,693,249,667,666,549,343,235,
881,477,048,553,445,678,163,992,145,092,482,413,011,793,587,019,214,315,932,
903,819,454,315,823,527,031,563,142,723,168,476,036,589,227,744,072,030,139,
352,056,652,384,591,698,501,834,614,437,371,252,115,545,391,787,142,714,603,
817,918,276,100,189,576,715,583,153,056,185,909,860,747,445,267,004,883,404,
602,056,173,143,815,717,961,037,054,634,451,193,520,631,955,979,043,113,715,
350,482,201,343,374,810,462,454,708,059,091,640,816,573,486,442,585,316,390,
253,937,306,762,292,809,722,990,569,161,507,255,056,304,667,240,067,263,944,
306,632,220,985,331,701,610,443,743,721,618,948,092,670,715,268,172,399,274,
432,742,503,232,653,242,251,737,393,397,158,718,889,793,790,592,876,725,884,
081,303,741,877,095,611,862,119,186,463,638,291,642,285,198,895,426,847,305,
775,294,077,090,709,077,507,571,138,562,342,192,237,914,887,929,375,447,678,
527,461,806,604,344,095,978,379,104,753,371,797,645,567,199,894,874,263,761,
039,353,578,188,218,497,683,517,409,972,684,752,009,485,371,654,104,184,485,
917,453,581,784,729,105,551,691,790,493,069,837,378,122,669,729,872,171,629,
420,827,873,657,660,621,265,434,321,778,276,567,375,163,372,531,193,579,220,
784,673,399,284,643,980,266,158,960,843,868,877,081,741,808,324,398,510,037,
938,409,304,021,983,848,399,805,078,421,478,080,161,724,338,868,595,793,008,
451,471,570,773,066,858,226,730,975,645,405,432,744,994,806,418,259,896,805,
230,270,976,923,437,233,075,497,421,776,357,771,589,525,371,553,452,888,629,
946,591,070,585,223,620,846,108,181,509,396,553,710,291,519,806,318,478,515,
322,274,059,921,832,517,998,294,108,716,554,016,389,562,884,377,020,911,901,
672,113,971,621,925,319,555,147,782,730,794,146,425,688,179,971,172,337,156,
629,225,844,161,211,489,145,282,997,449,539,738,428,406,315,224,075,106,679,
706,608,674,091,760,805,544,809,387,792,106,889,317,256,380,314,498,101,145,
959,542,250,311,810,503,353,461,215,035,965,385,435,377,573,490,064,483,096,
470,347,283,108,255,469,045,582,628,103,636,481,887,205,180,858,295,548,999,
287,690,652,333,674,165,712,418,660,227,295,429,202,650,909,943,244,796,660,
462,427,074,706,925,602,383,628,004,663,715,327,231,567,076,855,975,449,647,
846,548,194,730,113,312,833,861,971,899,086,705,935,097,154,553,327,930,357,
969,238,112,012,867,306,531,587,405,826,669,187,052,728,019,711,518,070,045,
972,919,528,006,969,854,515,297,179,300,113,924,706,074,429,325,926,325,653,
514,075,327,813,845,082,037,788,321,876,832,333,296,227,593,270,523,198,115,
716,238,585,987,494,674,061,788,429,558,414,736,116,408,518,781,638,159,861,
945,651,544,469,802,860,414,393,890,577,968,849,086,481,291,979,075,434,204,
856,179,390,563,314,071,726,929,323,015,333,331,442,896,197,060,579,370,879,
136,760,026,295,912,603,588,094,581,870,600,170,643,243,759,024,375,150,253,
809,853,765,460,905,528,298,998,273,982,016,781,708,520,804,615,704,703,122,
485,962,923,001,704,331,098,279,882,988,047,821,016,989,953,741,009,288,328,
455,341,369,192,735,845,593,453,020,061,703,518,912,062,356,663,308,884,333,
771,768,688,551,629,713,601,715,329,294,190,105,483,168,866,998,747,019,484,
905,247,745,820,538,222,309,148,591,965,508,573,478,469,418,563,939,815,066,
260,168,896,364,193,626,879,053,022,784,632,600,336,586,630,377,496,960,512,
176,680,502,938,539,939,162,365,951,326,138,200,827,136,787,419,568,094,665,
978,893,225,364,738,473,975,071,250,656,144,025,071,069,896,930,534,630,572,
109,798,775,219,681,356,991,094,526,570,787,451,123,027,289,419,719,079,411,
017,997,958,123,753,305,682,498,375,634,942,494,876,783,686,011,643,179,912,
175,650,618,782,919,677,115,980,826,978,803,477,333,855,221,524,418,167,536,
195,161,090,838,490,791,370,054,449,556,873,539,746,625,897,849,826,499,961,
388,013,596,530,994,720,407,822,041,793,330,330,895,956,040,508,711,448,217,
139,298,636,651,277,489,535,094,240,416,653,724,791,753,150,463,392,101,098,
096,738,926,694,750,381,758,810,659,056,066,578,263,668,384,142,105,008,193,
464,944,882,888,712,279,885,975,924,195,452,632,395,488,705,731,049,527,149,
269,236,930,876,663,494,149,272,878,076,327,353,221,217,210,449,751,305,304,
214,604,964,838,603,455,086,862,184,344,772,309,510,772,358,702,455,662,396,
322,655,377,332,195,541,323,995,269,908,407,382,305,266,381,174,949,923,250,
801,409,773,231,969,280,752,742,148,236,459,816,170,591,484,424,533,808,291,
846,065,596,500,263,147,452,128,972,939,826,231,805,579,640,166,605,575,164,
054,846,375,006,370,163,935,384,399,012,794,908,227,623,029,628,228,429,930,
336,848,264,179,160,892,422,301,987,383,733,811,092,884,257,057,714,424,268,
557,220,498,593,308,812,504,973,749,461,616,825,730,072,738,845,996,287,041,
742,805,206,510,333,515,613,772,247,134,528,228,854,479,737,959,989,684,790,
234,461,737,009,610,642,611,631,025,936,463,261,184,461,296,193,575,996,922,
238,977,119,845,190,882,132,330,855,209,391,192,648,070,987,238,097,755,168,
079,815,822,446,141,347,475,083,705,239,541,265,978,051,757,080,023,980,518,
666,190,272,069,016,502,705,856,831,888,758,066,882,263,362,511,109,657,361,
252,173,625,152,796,856,523,182,816,477,657,812,681,803,015,966,611,873,002,
093,429,044,040,553,545,769,332,819,346,814,230,193,824,454,506,052,516,984,
848,315,126,516,085,258,571,177,637,017,093,782,392,083,798,379,777,923,195,
039,224,559,192,594,681,231,882,974,115,676,251,467,407,500,800,381,952,066,
099,024,301,391,731,905,661,410,783,910,648,336,915,597,777,767,175,573,106,
702,985,869,665,702,316,680,377,030,812,801,900,204,091,532,184,772,866,525,
276,669,938,873,034,455,173,943,199,208,269,181,671,215,778,084,835,281,879,
159,892,411,746,574,235,203,356,689,893,135,199,069,696,682,135,470,927,789,
844,072,390,325,745,075,171,589,443,221,905,728,437,352,628,746,913,365,353,
490,576,728,235,854,568,048,758,831,827,054,031,061,064,114,345,670,558,843,
315,573,053,685,312,658,635,124,311,801,353,684,541,441,036,461,036,704,034,
088,799,726,195,729,499,670,751,636,961,798,444,722,357,138,383,016,846,410,
235,801,262,480,636,638,228,095,020,718,872,654,649,180,517,137,570,489,536,
997,763,143,190,632,730,209,136,644,039,232,496,234,533,432,463,754,798,628,
564,478,706,499,982,640,656,836,254,493,736,459,461,359,856,802,287,537,321,
277,032,756,868,962,232,196,611,967,638,384,871,782,440,108,689,796,099,502,
290,174,105,557,037,982,188,933,057,345,752,024,371,905,082,717,991,698,432,
844,269,040,408,588,506,442,913,763,443,151,700,731,812,368,080,222,552,783,
057,292,234,247,459,952,812,136,056,763,708,388,935,064,077,182,985,495,905,
466,231,831,167,976,088,635,186,634,574,361,444,146,964,981,226,218,745,329,
122,860,147,287,836,129,459,134,319,978,823,429,235,613,789,334,661,492,439,
488,049,327,413,401,631,496,960,945,633,838,033,192,445,744,278,639,098,534,
229,556,140,374,971,725,663,713,990,776,892,566,747,633,349,654,556,531,020,
246,483,203,303,826,566,022,453,647,094,510,370,517,792,824,480,329,748,083,
973,651,932,363,054,196,322,678,187,312,273,411,897,940,556,567,918,816,935,
901,246,588,052,691,654,756,479,471,423,344,894,553,668,195,723,757,679,641,
500,127,543,498,042,819,258,652,306,489,551,000,914,867,207,290,551,189,946,
068,297,193,743,772,122,617,554,251,629,860,483,592,410,251,083,853,525,091,
777,879,381,790,889,688,169,637,494,254,672,288,940,404,222,035,998,768,897,
298,650,207,864,831,376,885,090,198,732,935,883,796,753,475,547,518,638,821,
331,070,024,113,501,972,511,532,984,136,185,109,941,534,101,668,822,192,410,
506,829,724,280,598,282,250,475,972,601,107,893,352,014,188,804,180,684,800,
458,903,197,463,576,509,063,631,751,969,965,678,111,203,816,544,380,793,523,
969,172,248,106,873,712,467,783,867,879,030,694,254,412,008,642,938,799,623,
678,947,087,929,069,382,371,606,305,562,350,856,726,058,413,797,942,917,095,
622,649,773,115,901,836,068,877,058,633,595,870,819,852,866,585,783,653,252,
023,690,008,909,505,874,023,651,225,402,546,004,746,338,618,295,750,330,576,
356,820,684,254,384,267,630,492,639,040,749,692,151,832,315,499,147,927,219,
690,232,792,641,271,593,601,479,630,845,412,170,679,130,193,065,964,993,055,
131,087,852,827,273,791,629,650,287,132,372,313,578,867,744,569,991,589,779,
218,910,750,430,833,115,667,806,521,550,897,108,095,160,427,874,459,577,566,
606,221,463,586,109,618,682,643,777,407,204,114,043,701,744,691,514,704,793,
950,815,946,692,053,343,819,417,399,715,885,596,514,817,240,556,992,617,655,
599,403,060,078,776,097,546,874,671,273,186,239,929,441,717,855,829,384,023,
690,569,184,147,786,405,113,041,395,380,391,929,023,118,444,207,132,489,426,
434,056,461,568,213,629,726,691,699,875,974,422,237,140,478,963,018,295,154,
860,510,666,991,223,951,469,187,222,134,620,307,802,906,282,088,072,111,156,
151,750,043,204,308,236,777,802,219,805,515,794,425,903,723,517,261,906,299,
715,838,180,147,345,130,655,407,639,281,221,324,774,699,140,525,155,658,901,
954,421,998,652,647,576,140,164,798,883,481,228,682,200,769,189,946,808,249,
594,020,432,565,586,544,684,915,346,605,691,178,706,607,956,692,732,339,978,
119,382,496,172,079,789,377,539,585,547,824,570,687,049,910,184,489,687,404,
148,711,141,273,994,745,053,925,874,591,051,786,039,552,177,682,211,187,427,
876,420,967,882,634,329,091,315,844,406,488,188,074,852,734,113,500,990,787,
579,766,090,608,816,864,778,711,522,114,617,965,998,780,480,899,461,747,005,
767,111,449,278,600,659,240,866,498,529,402,959,825,606,694,035,200,680,185,
587,882,205,665,511,117,457,068,616,870,429,054,530,045,521,729,021,863,458,
495,369,944,175,055,421,685,877,101,412,163,668,443,732,019,337,294,745,738,
649,356,782,770,140,528,230,918,733,064,507,727,074,117,778,727,643,717,654,
329,506,585,150,304,538,244,990,939,115,110,972,117,851,112,318,402,331,468,
406,797,745,111,770,077,147,012,480,501,283,297,024,745,117,603,923,598,212,
830,110,643,598,622,408,853,642,607,427,819,154,514,156,838,300,414,640,486,
582,905,190,227,317,493,585,361,363,119,184,050,453,953,599,274,249,226,701,
925,695,184,858,582,994,938,929,128,442,446,048,874,615,630,020,328,332,281,
649,302,186,779,219,412,738,181,794,613,215,315,845,342,334,539,798,439,109,
100,271,051,811,001,414,805,086,156,294,386,645,744,196,018,254,872,529,654,
209,807,826,140,962,494,206,041,455,914,542,061,016,942,106,983,995,572,865,
001,525,009,350,121,686,652,089,164,803,817,602,786,553,308,060,036,366,102,
993,028,209,095,014,023,096,553,400,282,712,028,495,004,455,680,227,043,998,
762,323,187,155,352,391,424,213,326,336,480,625,651,009,735,267,874,953,868,
280,211,069,679,752,686,567,480,661,582,045,789,418,639,064,514,454,850,856,
298,513,342,412,383,945,522,881,575,987,486,497,789,762,569,787,033,380,103,
920,055,976,682,410,869,935,155,575,060,757,856,897,085,152,783,975,654,772,
118,218,080,401,337,868,234,440,611,266,977,835,061,332,120,246,583,472,574,
140,380,599,631,037,431,015,855,190,321,622,495,243,118,201,604,087,825,023,
297,769,064,682,191,309,281,517,353,153,150,252,303,608,475,615,800,007,060,
401,653,442,606,292,899,135,779,318,034,997,119,647,154,396,216,234,798,275,
894,543,133,792,625,185,906,422,129,104,292,293,352,350,786,788,645,739,308,
527,006,215,248,508,743,684,479,498,528,374,018,682,530,246,405,307,665,232,
651,481,914,081,323,023,871,300,256,687,741,693,008,388,649,755,473,880,821,
593,347,003,541,782,177,333,922,562,270,616,829,125,827,468,432,985,686,490,
289,532,865,524,453,183,969,503,547,371,727,288,082,020,951,709,535,384,438,
370,931,019,250,635,106,850,148,849,530,706,221,826,687,984,812,532,328,567,
528,248,138,265,806,773,979,624,000,602,204,836,061,625,587,424,195,112,329,
976,785,079,233,448,501,016,937,976,959,782,820,625,388,730,849,173,196,366,
795,350,550,426,089,655,862,904,596,829,646,924,635,842,763,714,417,827,201,
221,686,377,231,228,772,864,131,742,237,221,766,235,523,568,851,263,952,379,
305,506,470,127,250,217,236,047,844,140,031,392,416,651,931,847,911,070,693,
308,724,274,850,099,962,494,489,219,666,139,574,552,950,058,673,800,699,589,
579,222,378,308,246,989,763,143,540,666,846,306,670,904,822,416,996,482,715,
775,320,657,462,697,143,782,421,357,556,224,408,911,197,075,159,520,665,353,
987,309,919,452,110,464,327,456,618,434,473,577,055,809,945,293,348,293,039,
569,629,457,113,705,177,577,662,338,435,397,726,920,385,315,602,389,976,594,
607,317,287,417,137,633,253,217,347,262,037,663,153,862,682,442,651,053,167,
210,448,301,256,892,295,012,444,745,708,320,542,500,773,172,297,794,795,492,
594,182,090,133,207,072,836,702,887,587,019,905,458,072,585,154,408,119,283,
391,092,434,766,143,968,281,037,295,444,982,148,926,229,610,127,853,124,029,
742,763,623,927,959,056,275,067,386,034,433,888,338,870,052,780,939,840,931,
206,129,181,437,225,776,845,327,850,037,259,196,756,597,861,513,441,676,639,
196,880,735,003,730,790,166,126,603,215,963,160,725,819,237,078,945,759,782,
503,083,706,068,141,081,512,623,755,976,814,156,671,938,453,205,848,427,612,
181,427,104,817,738,926,885,341,600,025,963,004,827,341,591,303,859,502,233,
817,558,178,261,056,856,415,026,601,716,786,905,614,355,358,190,283,384,247,
838,074,131,619,159,696,879,768,826,613,471,022,633,160,134,983,546,398,707,
240,899,423,560,962,288,983,140,414,033,746,854,922,217,992,381,132,199,167,
723,208,906,208,170,938,692,278,618,379,097,330,912,134,279,745,881,164,448,
355,330,296,649,430,727,729,547,158,014,229,417,218,278,367,584,303,584,311,
480,214,615,995,798,071,688,996,673,859,659,610,247,742,116,712,473,319,077,
132,626,889,153,535,257,653,287,820,443,877,663,895,248,918,375,399,858,191,
131,659,564,612,608,468,254,395,600,772,042,547,986,216,964,652,202,625,767,
181,437,955,936,962,891,433,931,061,068,755,810,342,936,171,372,834,220,415,
746,359,197,534,828,129,641,877,217,520,638,538,764,339,840,945,270,679,988,
136,574,423,008,719,308,959,543,259,787,150,465,553,127,875,217,546,899,411,
657,235,339,788,564,244,783,321,555,928,734,176,007,659,450,363,799,424,990,
534,325,746,975,743,808,566,250,384,035,929,722,200,633,880,225,678,639,738,
798,868,663,952,046,112,901,622,676,418,795,534,917,614,176,871,696,616,013,
159,601,883,038,669,194,741,620,330,055,668,246,222,262,576,069,057,131,370,
174,444,364,631,256,544,561,998,105,284,594,333,269,419,043,872,842,005,775,
101,311,966,222,047,836,764,002,154,166,571,946,274,353,540,186,565,685,500,
591,471,375,216,300,652,344,815,328,038,949,017,768,362,236,158,338,981,203,
059,875,730,156,771,079,073,685,367,242,740,102,078,293,117,077,423,066,259,
994,685,027,242,428,362,174,135,486,855,336,104,048,162,050,329,681,698,400,
831,743,544,240,759,560,044,306,001,923,145,414,590,857,771,059,162,691,460,
134,401,830,362,019,384,734,270,084,925,416,387,245,919,886,168,014,381,214,
002,384,204,046,573,029,359,871,957,698,038,559,715,964,689,233,308,762,245,
981,386,493,126,793,113,422,147,717,461,724,713,957,116,256,654,551,300,232,
082,035,932,996,870,203,795,464,983,579,351,152,634,464,452,714,084,219,935,
759,285,702,134,778,853,833,280,719,943,739,734,814,556,004,854,604,603,374,
478,536,472,566,533,369,030,905,432,488,032,723,151,623,449,843,333,719,779,
585,799,764,089,256,909,718,314,279,726,647,593,362,587,107,443,076,056,286,
206,235,181,945,779,844,353,705,220,549,157,109,901,067,648,112,836,203,915,
503,825,642,360,956,790,501,312,062,626,193,359,659,718,307,106,260,822,765,
978,841,253,200,429,924,940,603,574,260,599,062,823,540,141,547,258,673,139,
560,748,022,288,455,896,408,616,848,150,083,165,048,393,030,955,961,276,838,
411,379,465,185,741,701,263,495,159,675,566,739,473,461,740,797,880,644,739,
821,589,635,936,297,511,581,963,402,458,954,108,013,662,160,912,427,357,085,
896,660,533,972,174,547,402,381,627,971,794,185,664,928,258,145,956,209,910,
857,355,865,482,731,549,817,930,175,091,722,656,613,822,767,755,895,784,284,
176,109,432,674,058,164,575,323,546,431,450,135,312,191,435,839,816,429,148,
415,751,499,174,038,687,293,932,561,027,975,131,969,939,822,937,642,273,969,
994,700,649,343,616,995,250,858,662,287,769,517,585,230,782,642,859,203,515,
039,108,164,958,163,556,687,092,509,073,560,057,716,664,685,667,104,757,132,
880,214,138,680,289,546,555,538,424,609,974,484,056,164,830,616,037,050,478,
905,173,040,097,756,137,137,254,427,230,328,419,671,615,400,564,640,546,204,
098,738,877,238,974,102,348,812,783,268,743,932,387,686,710,236,053,948,002,
351,697,220,973,571,403,976,768,958,155,062,393,788,943,379,072,692,850,762,
598,314,553,068,136,318,062,624,336,635,861,792,078,193,805,331,926,294,022,
700,206,507,671,153,629,625,476,769,855,282,713,185,308,520,135,309,021,634,
568,670,260,544,294,429,812,662,230,563,548,552,191,393,441,578,004,280,202,
605,285,378,058,909,866,606,555,953,959,098,336,734,043,888,091,040,413,830,
110,865,714,076,840,852,447,458,580,138,131,866,622,547,579,632,856,088,978,
281,314,739,362,533,527,354,520,300,787,513,494,307,416,156,633,700,416,706,
190,241,967,874,000,130,756,725,757,799,074,887,041,853,474,510,690,063,976,
702,493,045,034,271,758,558,688,650,097,922,784,037,684,900,457,678,872,001,
448,267,509,095,310,804,510,234,837,490,315,271,089,752,954,005,823,139,431,
006,588,394,687,855,515,240,987,447,583,179,504,548,521,532,108,126,039,016,
327,552,165,293,894,622,252,684,187,428,209,958,182,442,545,603,752,482,523,
774,134,307,006,554,162,455,725,695,494,261,502,655,056,798,589,734,051,353,
781,029,642,800,421,706,607,092,571,393,186,988,332,389,702,415,811,639,202,
376,105,480,481,710,103,925,694,164,086,646,108,367,885,588,009,680,235,580,
338,827,567,997,636,650,476,925,642,412,775,582,860,633,708,217,484,836,636,
444,331,142,621,018,878,288,536,119,667,039,588,619,070,264,112,593,993,584,
054,645,562,188,383,393,429,719,444,149,608,864,056,665,548,692,396,440,142,
544,222,568,336,676,183,695,049,246,991,451,907,609,755,049,358,228,272,648,
190,236,373,775,263,416,589,110,881,812,516,416,449,838,759,576,335,535,041,
862,652,068,428,865,493,883,664,687,938,372,837,646,632,247,931,074,834,098,
026,176,031,337,942,444,910,796,399,677,410,214,259,621,429,555,323,883,495,
352,839,923,090,812,611,415,723,793,440,957,908,582,002,512,373,215,720,855,
376,373,074,611,437,908,246,960,629,047,104,431,251,311,661,602,701,812,553,
683,569,165,832,179,770,482,260,869,913,384,277,866,803,438,417,705,697,103,
553,149,598,541,279,113,796,160,279,196,625,391,764,358,699,465,573,545,690,
004,166,561,994,412,661,732,790,106,523,684,920,339,352,998,291,779,557,390,
911,547,619,582,417,215,050,258,954,809,150,268,761,087,412,891,618,802,546,
754,284,898,301,709,119,304,560,683,299,204,854,580,194,218,619,680,354,890,
436,756,192,875,667,966,335,870,645,145,047,467,058,773,546,383,815,345,736,
416,562,728,192,409,809,201,660,137,505,229,232,569,099,311,665,122,492,898,
578,396,500,134,106,470,426,432,414,415,251,825,447,356,632,828,724,673,401,
360,990,069,646,233,724,727,425,379,930,770,773,070,232,731,669,317,419,165,
717,434,140,327,920,116,934,026,002,355,612,161,637,515,973,798,065,388,795,
918,523,545,684,129,640,279,736,136,040,510,000,823,854,091,444,446,370,161,
776,319,007,454,174,165,001,301,114,024,496,980,447,204,162,478,653,294,499,
585,857,964,757,022,311,486,234,365,201,414,701,108,264,960,182,312,330,652,
724,987,549,186,135,214,312,934,011,812,055,283,793,802,826,936,038,318,924,
849,982,220,107,420,313,970,789,977,068,076,510,025,280,294,452,319,500,024,
305,133,213,623,409,049,502,600,054,597,317,046,809,454,463,489,025,522,471,
131,210,337,264,867,971,124,401,897,730,044,025,040,167,453,606,869,056,289,
232,847,194,515,793,092,581,886,060,801,723,460,104,317,120,831,910,534,996,
940,854,364,218,541,788,337,405,450,206,106,372,867,748,433,635,808,393,690,
621,196,029,908,135,064,315,393,181,523,773,406,908,424,089,921,624,282,561,
879,018,502,884,354,545,119,026,290,374,302,680,314,388,993,951,731,330,459,
866,494,283,554,588,734,013,032,312,150,513,946,848,132,025,874,712,580,299,
569,369,589,272,128,580,457,253,268,836,526,460,343,480,639,675,889,295,742,
232,785,855,644,413,085,749,267,899,485,033,030,401,429,672,513,637,314,609,
913,657,284,415,607,193,983,112,129,723,121,547,499,056,081,252,585,042,752,
199,614,333,858,304,663,918,593,483,552,733,045,298,498,446,733,847,669,994,
585,796,023,224,576,064,430,277,926,540,760,683,259,545,496,451,843,029,163,
277,903,868,728,736,673,778,398,038,523,111,833,164,634,970,093,442,283,680,
656,801,043,199,497,489,291,144,754,861,075,102,405,368,478,186,818,793,411,
018,492,813,398,977,645,950,245,431,837,092,984,401,725,497,831,892,297,372,
286,376,829,234,607,967,495,071,839,525,739,442,905,045,509,392,757,741,650,
412,285,203,295,499,267,521,237,427,529,123,767,232,266,324,994,614,980,192,
988,853,386,231,294,970,985,758,023,883,911,169,847,065,555,323,865,706,879,
610,874,505,464,726,693,078,266,599,120,281,455,291,290,332,109,680,140,126,
081,593,290,979,618,939,285,561,383,377,314,128,583,484,808,733,504,810,048,
322,653,003,251,297,325,268,343,068,577,615,210,503,915,023,533,638,103,482,
762,799,318,095,153,102,969,616,055,127,661,445,318,367,046,777,578,593,530,
325,845,168,902,137,406,030,991,224,463,112,659,378,162,514,477,052,640,806,
730,790,610,343,999,631,269,215,886,005,277,900,062,286,313,830,521,276,193,
701,102,685,719,825,536,588,641,166,351,621,962,223,170,439,755,914,070,269,
220,326,163,706,680,565,338,100,470,267,293,511,116,797,105,735,392,518,211,
342,666,929,368,035,568,223,846,992,289,806,643,070,705,250,855,198,118,288,
674,024,466,712,617,726,049,457,933,000,739,936,781,812,187,332,944,769,049,
497,729,821,337,431,254,500,875,515,518,384,558,351,134,206,780,234,902,987,
210,908,035,243,310,760,525,747,577,222,302,148,517,972,240,513,484,718,209,
131,025,208,763,533,557,179,530,557,927,943,036,211,377,076,972,890,715,473,
854,941,429,561,023,277,888,620,914,419,179,031,461,640,089,040,313,190,797,
038,711,277,803,666,341,206,042,507,019,963,517,043,506,106,933,555,821,237,
807,222,633,512,927,758,353,098,472,792,320,938,677,334,013,605,243,816,166,
031,542,804,777,992,592,827,899,458,560,954,804,112,366,847,799,163,782,557,
114,218,085,445,273,270,136,417,354,391,617,163,944,074,232,104,965,395,600,
222,108,835,434,157,092,257,499,410,287,306,579,115,757,678,714,503,157,039,
335,991,672,451,817,777,026,346,159,301,854,531,102,604,828,790,208,286,941,
155,755,071,548,527,611,923,935,190,561,195,633,248,051,445,212,339,681,998,
645,187,068,306,903,157,790,874,157,397,399,793,341,524,552,807,366,682,992,
049,907,624,765,032,457,114,906,305,016,343,631,108,848,262,969,276,121,910,
301,640,080,126,367,842,254,282,561,147,070,646,990,077,752,624,765,372,892,
888,407,397,930,963,981,490,705,861,274,377,005,606,098,069,224,800,581,224,
765,230,938,556,610,648,463,644,405,919,589,270,504,394,621,319,239,044,537,
151,411,758,458,855,106,503,330,848,918,100,247,316,233,780,740,432,506,982,
590,485,147,710,959,549,673,134,262,372,439,037,181,761,024,137,205,911,513,
434,725,271,168,670,511,047,555,373,068,149,094,016,581,783,901,868,073,478,
040,488,993,866,981,785,493,506,119,785,123,635,683,893,939,102,815,797,048,
694,301,677,365,645,837,274,225,106,057,633,148,735,374,811,731,076,897,679,
141,310,036,789,284,272,828,401,165,356,221,046,158,888,746,762,794,477,903,
667,763,758,855,842,260,768,058,911,593,615,773,697,290,660,029,321,359,934,
970,066,611,123,770,494,805,402,818,632,461,341,034,126,355,082,354,465,332,
747,260,872,305,309,126,592,845,277,490,363,208,899,173,922,113,388,778,022,
941,665,125,185,719,803,072,404,629,140,143,671,445,943,929,472,457,427,807,
487,925,934,004,417,181,627,090,766,509,084,375,797,469,587,489,898,342,337,
317,708,746,924,986,131,230,690,497,119,312,045,124,435,095,623,625,749,311,
455,256,626,085,519,137,887,252,579,989,825,542,675,093,716,192,071,116,817,
784,010,769,584,160,756,494,626,018,118,924,010,765,840,659,592,483,070,224,
720,204,870,029,739,134,376,791,518,947,072,591,585,765,562,663,189,331,330,
227,400,017,351,672,374,627,360,186,462,582,295,825,515,214,950,915,709,034,
684,054,735,912,667,124,910,049,992,407,458,663,684,554,434,774,160,047,042,
645,562,908,630,935,308,929,398,909,644,367,215,335,435,832,759,578,631,075,
407,196,139,359,821,799,568,074,932,037,077,734,174,250,239,978,877,398,642,
384,448,677,487,940,778,008,786,826,269,951,893,278,247,024,629,027,481,444,
955,056,327,908,823,272,826,164,874,327,748,443,163,775,169,600,362,268,711,
696,910,285,697,961,425,471,501,530,583,598,740,446,686,417,976,782,824,652,
802,310,403,244,007,311,358,449,824,394,843,006,452,089,007,808,308,693,945,
118,305,590,517,008,983,224,913,653,440,601,130,798,319,190,243,634,270,210,
988,572,520,770,328,611,972,294,348,346,968,586,160,263,171,399,476,289,389,
258,818,213,450,135,523,499,524,724,923,299,924,398,614,487,199,784,020,722,
787,725,964,969,903,543,232,443,933,838,739,001,190,090,054,949,966,182,067,
716,777,293,755,038,513,354,498,754,451,910,970,547,810,045,180,817,083,227,
512,561,074,083,804,356,806,336,092,446,748,633,455,417,779,286,111,931,609,
895,347,418,600,239,566,559,024,374,052,929,699,593,155,374,890,140,165,037,
147,256,878,105,502,835,878,712,404,360,547,409,047,222,632,387,592,217,205,
868,685,851,725,489,876,768,661,766,064,949,831,971,759,917,947,827,816,772,
162,695,659,505,173,918,692,610,111,476,928,909,887,851,495,678,981,426,178,
020,273,159,231,491,241,676,187,721,378,133,370,946,091,815,209,690,672,015,
925,645,959,857,752,401,904,543,192,177,765,565,355,864,965,791,219,444,006,
890,977,808,471,655,266,134,812,651,998,522,395,525,409,931,581,374,636,596,
201,390,983,016,481,779,993,636,482,144,041,357,320,922,255,398,493,488,687,
579,638,728,146,019,143,118,362,185,412,981,969,523,787,264,168,293,662,630,
453,452,998,119,715,902,554,685,145,991,875,600,318,242,969,394,538,846,010,
671,389,862,732,687,963,369,068,581,519,328,072,975,243,454,764,036,713,270,
137,911,715,387,220,358,968,049,465,403,024,582,209,743,675,820,962,902,024,
235,914,263,803,479,144,017,353,940,511,469,204,815,763,535,239,149,332,542,
972,207,953,933,952,487,050,968,340,434,809,325,290,418,437,872,319,263,296,
332,391,849,847,442,221,240,969,293,731,279,515,183,710,089,364,167,327,739,
974,267,288,232,663,833,803,071,521,687,006,725,408,352,481,985,429,288,738,
687,566,328,965,482,928,114,548,405,760,754,121,674,553,548,420,936,948,986,
362,207,144,847,456,315,604,851,205,323,587,812,869,263,598,772,329,017,369,
508,969,593,454,561,800,441,656,028,098,546,133,438,485,608,577,896,211,106,
872,942,743,988,342,940,627,817,948,414,983,896,867,537,701,629,066,227,544,
662,370,038,257,701,111,716,766,345,605,106,978,988,416,597,888,666,561,376,
971,228,311,182,018,906,871,163,664,613,805,843,538,138,814,784,674,010,499,
381,243,525,950,311,138,617,423,558,412,366,618,218,285,142,467,816,822,947,
316,049,994,586,579,466,455,993,064,602,865,993,454,154,626,208,821,856,900,
677,178,267,561,374,060,721,253,935,298,325,313,577,876,848,537,441,796,259,
150,573,145,581,457,358,382,826,532,384,358,296,109,151,686,996,092,412,949,
141,890,507,017,860,806,424,268,694,734,783,306,780,367,899,521,125,474,109,
764,349,387,922,945,643,323,046,384,266,533,220,686,700,496,853,168,477,244,
298,262,936,711,117,299,234,915,778,389,073,876,192,366,054,379,771,263,976,
474,916,118,368,576,511,335,658,992,955,453,818,780,139,351,096,170,160,179,
085,731,042,349,013,663,552,564,556,105,430,181,450,901,732,775,819,193,656,
892,521,207,417,762,135,522,770,404,289,298,666,370,807,882,007,535,543,981,
638,298,906,234,736,035,165,361,966,328,140,225,415,664,003,390,477,523,232,
853,734,755,392,917,010,885,675,408,209,590,332,702,218,934,102,572,960,056,
011,841,835,572,498,072,114,816,024,284,049,402,644,125,386,179,104,715,229,
225,427,267,700,890,623,916,035,955,088,531,721,107,570,152,558,205,730,125,
757,699,296,876,473,227,580,521,420,154,362,383,810,190,770,634,856,839,081,
407,041,884,446,965,058,787,012,885,217,207,232,592,708,978,879,298,355,904,
193,475,216,259,874,050,191,215,104,708,307,504,091,585,488,313,408,599,685,
049,013,778,629,757,746,387,063,528,023,016,786,796,988,563,257,129,279,030,
715,298,086,939,863,000,232,177,037,304,584,858,084,430,371,146,754,812,811,
691,792,610,522,841,271,617,876,930,095,089,811,391,215,574,043,921,034,422,
141,633,952,583,029,858,962,062,196,214,741,818,291,778,230,363,545,180,330,
157,802,148,209,573,088,083,324,854,515,964,222,227,349,032,190,008,235,896,
800,666,977,194,894,424,451,383,485,366,982,615,999,361,202,931,717,281,977,
531,540,740,540,510,818,672,804,085,948,552,375,749,106,991,020,467,887,344,
693,850,436,804,370,360,677,280,579,020,189,928,610,291,432,987,671,910,839,
528,588,380,325,224,003,415,004,812,846,391,866,114,355,416,950,948,016,448,
013,793,876,064,592,626,363,513,122,247,345,822,265,656,761,036,509,395,553,
034,832,985,685,624,932,025,165,510,571,073,015,761,187,240,568,923,913,501,
901,474,185,765,473,329,773,792,921,543,696,850,193,994,922,736,210,607,103,
606,309,680,731,550,436,663,011,813,681,889,944,612,674,796,674,113,193,010,
635,132,009,927,879,452,785,851,401,181,118,514,102,865,774,861,428,668,528,
033,305,277,460,660,712,593,976,736,514,550,434,456,834,783,856,199,217,977,
846,651,041,504,565,594,589,955,579,224,835,630,333,746,368,177,823,463,561,
557,086,829,292,974,567,103,885,908,488,665,744,404,903,290,937,004,086,732,
424,245,963,457,221,461,272,291,137,277,447,580,398,922,914,739,030,607,733,
109,412,553,750,815,105,130,617,731,218,005,434,828,857,005,808,248,389,315,
961,594,295,246,077,693,224,568,145,748,382,675,435,569,509,809,292,441,869,
351,914,994,909,488,744,219,522,804,172,058,557,815,135,301,555,726,087,651,
212,504,709,431,626,600,593,862,945,068,408,183,757,512,604,511,833,490,867,
687,898,642,383,956,649,644,547,437,661,716,461,640,327,926,972,551,095,877,
515,622,721,434,819,989,273,084,295,529,132,843,427,877,977,519,845,545,937,
903,452,332,024,010,342,683,584,965,005,071,251,753,147,837,914,349,955,055,
611,142,615,765,038,935,558,718,306,857,440,790,160,913,196,691,686,176,604,
529,619,984,450,301,276,132,144,565,802,626,217,568,875,401,613,785,091,120,
550,786,982,698,713,857,816,578,509,856,561,119,264,265,329,757,956,308,246,
360,343,662,956,475,600,486,005,486,190,701,747,483,106,611,090,289,107,459,
157,780,862,173,177,242,426,134,232,722,448,811,065,855,539,855,753,132,950,
331,634,117,394,500,754,600,469,020,875,214,470,286,156,444,013,272,595,096,
923,391,012,650,330,308,256,533,109,522,120,400,669,870,996,195,444,092,599,
328,814,901,853,034,773,330,019,498,588,380,639,161,322,236,232,615,075,910,
246,016,280,489,225,011,499,027,981,509,823,486,381,378,331,313,532,840,507,
981,064,785,803,527,664,579,561,569,161,150,087,011,498,125,890,980,232,022,
402,585,204,618,005,433,823,153,212,594,150,460,049,065,412,899,258,165,800,
945,053,294,645,084,178,468,883,666,655,913,048,031,246,271,210,409,492,182,
906,812,989,541,603,175,838,047,688,754,426,369,738,736,323,174,241,296,487,
789,887,220,549,911,300,523,306,617,832,372,771,797,093,604,778,125,744,914,
377,027,446,076,495,215,212,637,106,691,843,805,066,639,317,364,731,580,749,
159,904,240,541,849,905,157,284,008,823,279,837,382,201,577,630,255,460,535,
914,998,255,259,250,088,045,713,726,094,339,150,808,055,601,158,858,686,695,
284,836,687,833,711,610,072,160,867,889,646,225,866,562,664,590,690,336,246,
463,438,482,152,951,060,703,318,858,804,185,580,401,244,007,950,992,245,608,
627,729,304,780,772,323,778,554,466,437,538,946,132,191,321,494,138,222,124,
184,885,018,468,264,312,086,939,595,162,206,545,362,371,959,654,782,145,295,
186,128,291,399,895,360,784,800,057,947,999,201,470,174,964,862,343,271,607,
398,545,723,315,450,019,392,948,784,617,247,869,810,659,943,283,457,470,115,
492,413,760,634,834,313,993,294,807,683,846,218,718,380,246,086,347,552,499,
260,326,104,531,622,395,550,094,623,017,604,856,234,810,170,490,547,879,000,
662,895,819,885,415,992,261,905,773,496,573,972,273,527,563,147,542,820,399,
778,917,573,082,029,398,996,876,926,931,413,095,054,056,202,001,806,192,658,
666,642,707,979,008,444,831,998,159,929,327,122,969,058,065,117,203,874,617,
880,940,140,069,895,911,250,711,810,973,094,591,316,509,333,487,480,792,258,
903,056,768,474,648,541,937,357,923,374,360,441,108,778,534,253,083,246,126,
529,236,549,573,456,055,955,809,987,822,690,949,956,817,824,073,597,118,183,
142,657,574,844,137,698,420,222,858,881,479,751,030,267,752,754,505,293,417,
019,895,322,194,715,720,819,158,323,277,259,616,933,573,095,912,343,442,307,
511,836,927,154,069,426,143,720,195,998,663,651,926,013,452,439,953,432,264,
944,315,553,712,832,855,885,828,547,555,430,551,157,212,244,593,258,039,929,
065,367,009,912,055,234,588,946,485,859,807,204,345,882,987,954,377,790,252,
126,696,915,190,901,384,779,251,902,118,704,928,009,486,424,746,968,914,835,
978,866,350,488,665,602,945,722,380,521,317,707,748,829,381,618,275,961,728,
472,326,369,503,351,822,682,457,961,163,355,357,422,669,694,045,653,640,373,
567,826,857,971,392,656,155,230,680,209,350,152,742,500,402,334,106,642,987,
689,303,275,254,437,148,048,808,728,969,543,751,291,156,804,925,726,290,207,
326,182,238,795,240,147,924,714,499,904,638,350,707,752,508,904,473,910,407,
671,973,205,343,594,809,235,602,306,945,181,404,047,188,607,862,462,243,843,
224,260,925,808,413,512,296,856,361,345,677,571,321,277,085,769,169,714,032,
145,833,612,407,942,237,250,394,131,225,268,464,762,462,912,271,870,666,929,
176,814,957,332,429,317,005,678,367,662,327,383,200,998,457,046,716,413,042,
802,585,572,062,582,393,494,036,721,266,032,167,107,929,991,572,837,199,305,
849,943,644,476,702,772,508,441,502,597,835,809,220,338,263,735,488,281,757,
301,478,570,837,569,146,495,457,839,265,569,986,080,663,185,452,591,531,064,
746,081,127,642,539,542,734,521,732,082,076,991,544,899,021,839,918,738,648,
294,768,210,488,449,956,677,114,499,315,172,008,448,087,149,671,252,893,068,
064,754,933,050,019,245,362,210,465,686,379,039,303,545,062,812,253,959,388,
991,122,770,584,760,565,360,597,966,783,829,339,934,239,507,062,496,371,570,
016,603,437,173,094,764,457,762,269,604,911,489,333,288,951,463,886,090,214,
373,093,507,369,561,673,792,873,307,652,097,527,498,573,769,118,077,568,787,
739,177,090,303,233,156,646,005,064,213,123,822,287,135,141,792,786,290,782,
948,322,733,329,902,856,651,667,226,001,180,526,413,810,111,912,133,719,545,
058,718,591,345,007,787,928,095,538,692,736,190,269,578,130,830,391,195,837,
368,169,614,443,508,775,025,196,701,471,080,689,341,812,855,331,685,969,930,
216,166,030,942,722,731,477,142,433,580,571,754,813,897,894,755,691,361,385,
040,874,356,265,069,221,717,619,379,035,751,355,913,334,314,064,890,037,846,
756,896,893,624,818,599,604,514,756,600,926,167,645,958,797,749,328,449,758,
265,189,544,641,648,643,848,079,024,593,849,727,219,710,716,643,338,346,713,
988,539,037,763,879,708,738,637,498,432,980,606,305,023,459,494,591,147,954,
805,117,511,272,749,823,957,094,278,738,422,105,563,327,899,460,198,964,458,
909,689,672,933,255,631,804,108,606,913,677,662,222,772,987,555,778,843,207,
365,025,668,398,066,525,033,444,633,776,135,678,794,516,603,618,983,926,735,
354,046,805,011,069,682,574,499,138,870,819,330,738,327,864,510,561,548,353,
457,582,370,945,580,919,483,183,913,425,199,032,357,205,710,105,341,579,573,
457,844,048,289,668,530,604,269,568,823,794,175,496,889,936,180,287,919,513,
336,178,929,545,586,402,608,491,222,247,666,953,647,043,787,497,198,268,431,
293,878,298,534,386,882,868,491,730,723,869,918,701,882,894,408,780,882,854,
760,232,586,174,314,637,150,149,958,159,399,463,541,820,989,363,574,991,639,
732,985,900,108,558,326,956,214,405,221,723,191,951,605,167,376,233,765,813,
622,752,436,515,683,513,832,494,291,008,985,542,449,202,915,901,732,455,653,
927,195,814,943,622,630,147,515,545,002,231,373,795,678,220,471,461,187,686,
436,206,416,704,587,130,284,188,799,993,094,975,538,237,531,191,501,474,211,
795,219,101,827,088,006,188,410,312,923,859,120,034,005,448,477,244,586,860,
938,033,241,231,674,663,849,650,808,410,053,264,937,428,714,659,173,094,598,
097,526,477,033,066,258,745,245,202,137,208,967,749,784,518,322,221,822,482,
432,340,116,841,649,381,593,713,550,141,911,691,929,284,163,069,225,888,082,
290,397,252,398,935,814,309,573,260,477,835,467,281,252,975,930,452,946,797,
920,880,491,981,177,613,248,730,122,435,807,123,382,975,096,543,399,625,409,
680,356,813,312,650,952,297,375,837,394,802,709,508,983,678,431,429,144,676,
839,403,657,681,719,099,688,470,674,722,556,257,678,975,637,685,080,302,838,
165,988,643,998,842,217,119,511,168,129,105,542,945,909,994,834,938,052,111,
191,875,786,788,169,195,571,030,521,122,520,483,407,929,555,234,033,044,496,
658,186,128,955,127,777,993,089,842,613,265,642,469,003,569,246,103,239,472,
802,939,261,298,716,272,403,592,379,660,912,784,967,433,687,933,884,255,815,
781,101,912,981,468,556,147,593,307,841,289,463,324,148,606,873,554,320,483,
541,157,223,573,781,660,573,344,329,240,265,532,936,411,085,033,824,894,876,
223,375,110,522,152,312,242,762,489,472,472,413,102,296,516,873,402,809,970,
316,629,411,974,468,332,572,460,703,009,232,699,871,787,160,176,240,839,738,
310,148,391,194,322,924,863,106,817,633,504,097,094,854,157,001,109,755,383,
823,533,719,481,089,795,988,136,457,808,124,997,888,956,032,609,920,457,564,
501,614,706,357,965,776,680,510,370,079,759,714,057,107,230,154,375,848,147,
722,474,607,146,576,176,662,891,495,268,521,599,483,432,999,982,853,917,500,
479,461,269,659,646,887,559,746,449,915,397,721,376,437,151,368,502,514,577,
840,874,601,480,379,985,505,703,750,355,959,400,524,960,423,269,181,044,532,
135,143,994,440,103,390,350,237,952,312,202,080,692,779,105,885,291,531,597,
825,277,657,394,390,027,625,245,755,873,799,496,081,313,553,868,975,859,488,
433,736,253,203,002,852,329,288,709,877,491,412,362,842,671,976,562,908,455,
651,344,015,139,770,769,737,818,023,377,917,336,785,778,097,261,438,028,143,
939,122,039,620,933,766,946,633,747,524,632,052,640,318,541,397,591,629,960,
001,978,388,760,158,034,820,370,748,689,936,263,631,682,989,952,844,555,589,
731,272,403,306,450,984,882,701,183,046,373,327,298,814,640,302,948,352,150,
792,172,180,272,808,813,353,593,298,959,441,449,389,488,895,813,515,541,571,
280,978,822,685,016,504,480,190,541,862,589,861,096,409,599,284,326,348,241,
337,197,754,744,799,112,127,536,142,228,626,209,400,999,590,888,018,577,031,
773,076,786,087,941,059,716,320,903,351,500,129,249,758,978,296,020,594,392,
072,892,842,734,061,317,475,298,220,210,105,173,695,201,486,454,152,575,300,
763,665,953,614,334,432,223,396,003,707,102,283,009,297,812,082,908,135,057,
390,482,350,430,320,105,459,525,101,166,716,596,013,151,114,438,045,244,952,
023,569,359,411,648,461,292,915,365,366,944,363,679,986,163,652,092,285,455,
327,246,354,224,970,056,533,027,666,093,999,654,368,451,618,718,117,455,917,
348,413,819,731,448,581,136,365,727,468,104,041,111,590,056,529,622,982,384,
434,436,706,398,080,647,855,130,040,408,399,495,639,957,370,171,042,472,121,
914,067,715,907,955,184,583,291,082,980,984,660,540,397,302,395,574,755,210,
354,824,180,670,249,982,768,194,234,941,826,654,860,790,991,818,760,706,190,
947,391,656,048,900,296,699,459,268,465,792,534,188,194,041,767,511,714,428,
775,200,199,425,231,288,019,573,633,403,412,563,043,065,590,899,438,863,472,
593,651,148,458,091,563,899,753,063,275,520,235,551,039,826,445,449,236,067,
383,282,319,059,089,199,915,812,147,785,224,956,552,136,136,543,615,939,234,
474,385,823,468,280,904,936,914,799,032,976,288,073,353,691,612,719,067,526,
144,096,843,874,831,450,979,742,342,195,832,642,996,121,359,742,276,925,321,
690,020,617,939,734,645,056,050,719,556,331,902,149,471,751,685,641,001,193,
739,584,288,656,799,344,492,836,733,883,255,745,865,263,854,447,226,456,407,
304,342,192,939,707,346,124,416,029,774,729,627,066,013,104,812,990,117,450,
787,931,627,513,496,685,610,089,809,486,430,683,217,222,106,988,269,418,796,
589,939,516,177,476,355,083,490,269,559,220,296,566,370,889,642,329,982,745,
955,730,858,917,338,904,538,795,624,825,593,759,813,904,279,554,022,768,979,
025,814,831,955,750,902,761,408,682,664,865,232,865,766,215,848,425,112,133,
452,086,129,168,368,957,367,310,701,703,047,713,698,608,756,395,485,906,737,
722,236,753,371,514,357,483,019,837,611,667,919,717,730,283,480,376,645,712,
640,622,117,933,942,979,633,425,590,755,377,621,319,521,050,067,136,110,496,
180,346,698,178,869,755,541,147,330,178,103,814,206,286,573,277,233,860,755,
867,273,485,395,867,776,208,459,126,599,025,854,802,410,860,375,927,087,425,
527,930,406,498,301,292,549,597,557,486,279,593,966,337,552,029,838,557,443,
262,637,551,430,832,809,173,207,477,804,294,303,189,719,721,555,699,179,645,
135,660,700,307,914,155,042,925,109,417,261,422,104,565,156,660,576,658,592,
324,273,255,731,651,842,291,267,322,227,554,902,537,085,974,898,028,963,813,
282,263,748,722,408,171,934,058,933,637,008,862,079,501,173,845,482,369,375,
376,499,797,026,075,348,186,960,589,942,782,374,977,838,303,151,299,930,123,
673,446,385,475,268,592,804,381,814,666,110,583,981,550,950,625,212,225,783,
949,184,928,205,048,475,782,902,188,267,102,759,183,311,037,718,737,223,956,
761,588,222,447,612,672,675,306,531,183,242,747,596,096,213,343,784,192,017,
139,100,352,509,351,224,460,243,751,877,856,726,247,110,315,851,735,837,783,
932,811,469,662,328,912,566,415,721,101,087,814,632,371,645,527,528,005,241,
348,662,547,421,395,748,221,134,588,640,162,758,841,769,892,593,063,522,974,
197,324,011,833,792,358,902,206,062,970,321,437,111,887,757,363,573,597,704,
218,925,172,629,336,801,498,118,462,915,747,754,095,278,365,162,172,491,841,
477,864,595,727,616,374,134,911,733,117,340,370,525,066,408,952,657,174,236,
800,286,191,405,224,612,787,709,288,363,472,208,433,680,396,705,676,257,002,
819,776,275,722,958,839,959,304,486,070,723,111,640,018,266,099,397,327,540,
304,636,642,227,094,141,989,584,699,340,776,579,108,823,302,062,638,280,770,
848,261,866,904,254,582,332,582,600,242,855,225,843,709,835,991,965,489,856,
195,678,819,814,748,254,710,000,871,970,664,499,296,793,133,095,048,065,707,
388,712,853,485,642,450,015,943,337,391,037,024,922,035,812,791,177,804,784,
872,259,076,976,371,082,221,060,312,167,773,712,221,288,198,295,252,144,747,
152,506,243,439,720,414,598,612,549,588,593,689,831,476,621,569,215,876,256,
785,026,744,221,835,272,272,015,821,151,413,398,779,733,037,615,910,296,575,
247,196,890,012,100,636,124,675,018,397,412,162,023,814,143,813,629,771,782,
163,296,639,455,709,256,417,921,371,664,404,858,934,697,426,754,341,570,746,
263,186,397,014,638,868,318,464,258,346,922,094,401,957,323,615,093,104,678,
390,077,226,142,627,068,657,540,060,678,034,258,173,541,147,366,632,660,562,
221,997,118,731,119,113,517,436,067,775,259,635,756,292,659,837,347,880,481,
063,449,689,885,567,453,666,188,284,449,810,990,469,664,541,391,781,121,677,
008,996,097,161,706,026,295,123,971,801,817,888,545,928,548,196,313,425,258,
719,232,738,557,409,776,941,019,331,344,141,135,173,338,448,877,908,684,872,
998,716,864,629,312,628,422,715,767,897,239,648,254,925,953,937,507,240,770,
018,948,400,146,837,859,737,401,968,744,912,489,499,341,897,411,779,881,961,
169,060,930,249,974,249,049,417,916,039,767,911,451,913,271,609,038,225,679,
832,165,393,760,675,886,221,011,067,729,624,812,045,941,935,054,882,556,538,
658,987,641,025,515,999,983,351,590,826,117,672,259,882,931,986,114,348,072,
305,394,632,043,860,411,377,643,986,679,665,889,567,742,169,395,159,775,538,
429,905,692,680,711,604,115,165,299,624,872,252,269,209,340,925,879,827,243,
718,161,746,275,116,897,054,601,583,553,632,811,040,981,983,715,626,649,537,
122,708,633,395,652,380,873,316,535,319,616,419,650,766,289,861,935,218,598,
433,646,495,200,377,354,330,067,364,838,402,896,117,532,206,768,798,235,042,
300,356,501,373,042,200,148,061,931,753,781,315,414,588,372,983,575,326,393,
667,982,307,884,579,127,746,136,082,597,889,553,835,242,237,471,481,134,202,
423,848,886,217,335,285,197,439,911,014,383,880,851,499,782,364,573,000,379,
881,979,699,314,536,793,789,468,848,224,390,678,620,826,599,228,655,937,194,
579,214,943,859,839,903,465,007,269,347,152,297,363,864,725,817,417,166,774,
075,765,942,978,639,796,473,175,816,141,644,388,216,806,350,917,905,982,483,
240,918,350,262,056,573,752,643,109,211,200,119,221,246,617,981,662,209,209,
261,707,167,157,180,230,593,180,634,408,444,820,255,078,940,770,379,173,761,
986,701,099,129,279,271,047,541,493,506,573,182,076,984,182,883,580,677,538,
460,535,601,994,066,250,407,112,870,230,014,382,119,708,006,710,895,481,234,
136,002,716,664,252,835,571,040,905,783,070,186,903,822,106,511,242,359,404,
788,288,360,914,699,328,455,995,632,658,245,678,691,251,465,361,557,157,040,
673,936,614,345,879,554,083,726,752,812,824,852,878,316,213,589,067,067,826,
184,344,867,331,366,783,280,415,113,301,872,001,488,772,284,769,979,483,162,
535,801,844,093,784,406,751,373,594,106,940,087,210,505,990,691,582,910,778,
642,546,408,400,446,905,866,826,801,257,180,696,662,684,974,025,671,338,430,
030,122,034,482,787,841,069,872,337,118,597,442,809,142,894,446,608,310,818,
531,060,291,918,227,801,639,668,737,929,865,516,329,028,157,148,512,066,204,
136,200,166,626,090,829,682,300,682,475,334,745,614,698,438,628,616,173,520,
624,233,035,467,808,677,209,200,230,899,942,697,390,317,430,361,173,270,774,
596,617,781,491,395,440,163,547,125,902,019,175,369,250,897,306,580,194,043,
291,171,465,261,257,208,534,296,802,832,629,575,696,317,504,698,179,786,028,
940,537,862,372,209,852,041,757,760,173,907,195,329,218,525,695,673,545,596,
160,894,054,326,971,282,792,433,865,573,425,127,359,807,886,490,527,512,226,
144,518,820,932,107,703,516,203,601,242,001,427,569,893,324,422,300,985,223,
740,289,987,258,858,637,586,923,284,213,856,927,510,795,250,857,342,137,736,
885,803,959,084,400,776,258,067,384,823,559,119,487,267,408,073,679,879,272,
788,218,469,740,766,762,561,195,792,490,527,935,520,445,566,382,350,491,746,
995,842,749,387,071,975,247,178,910,271,860,530,169,380,591,378,862,658,430,
474,370,012,119,529,485,785,724,441,181,568,307,127,909,634,346,139,696,950,
519,025,367,608,557,937,143,822,251,362,590,571,415,188,166,086,188,650,996,
228,123,571,599,398,754,352,428,693,021,508,467,754,174,927,694,840,259,922,
714,052,137,903,337,218,944,477,344,422,330,149,848,105,096,035,553,667,856,
762,627,689,629,075,475,592,237,269,054,351,542,888,371,111,775,184,458,411,
225,895,898,276,518,778,603,907,012,901,795,465,492,793,398,730,014,485,365,
002,670,786,940,170,841,147,283,482,931,248,282,230,560,996,069,618,732,374,
136,596,622,799,856,162,229,020,454,710,708,091,072,068,963,501,423,384,444,
791,243,254,690,710,394,108,760,875,573,787,572,544,476,126,235,638,864,680,
781,644,848,948,932,554,979,698,947,078,771,025,595,049,639,999,151,895,696,
799,694,535,853,042,378,928,991,785,859,543,232,469,309,082,817,580,970,006,
972,902,789,615,368,172,014,476,383,469,587,659,524,553,037,910,820,936,098,
918,943,383,219,714,730,006,736,357,094,927,660,857,969,262,877,543,875,360,
641,722,265,154,386,473,024,638,186,906,309,731,200,077,686,966,149,064,375,
205,516,479,201,419,557,956,059,054,102,294,435,335,513,727,626,742,094,698,
643,982,265,240,489,770,071,081,878,781,897,584,610,242,432,930,968,810,741,
450,016,100,169,239,577,359,076,183,956,415,518,513,767,687,157,817,516,744,
933,718,813,263,361,913,438,151,675,723,895,835,224,754,181,319,919,652,715,
144,439,123,092,461,151,893,644,499,870,437,461,759,123,816,907,603,293,361,
305,729,837,975,940,347,507,366,726,452,676,063,489,570,667,198,593,989,718,
214,919,136,197,076,800,328,044,213,075,007,081,360,121,028,506,037,247,410,
771,608,181,732,048,856,486,103,989,186,747,765,731,327,880,464,066,257,526,
707,855,307,182,013,232,413,587,087,160,837,683,496,463,186,507,833,566,486,
341,234,362,860,287,054,929,101,997,047,379,527,098,227,983,205,456,754,535,
671,035,837,627,058,974,901,811,208,945,716,343,252,678,194,416,140,983,670,
610,107,227,032,184,613,446,085,663,807,321,153,690,341,585,091,068,633,333,
760,847,417,658,907,250,086,508,790,128,899,823,369,769,152,568,854,479,900,
475,046,066,374,718,862,932,785,666,748,218,376,765,291,795,266,924,823,385,
781,131,937,971,009,800,811,550,711,310,797,995,034,453,937,187,216,824,493,
313,466,317,398,179,836,402,588,894,886,131,822,618,355,874,896,182,438,675,
680,273,242,045,088,855,821,294,114,800,802,525,886,767,817,391,273,561,617,
677,743,191,835,994,863,435,787,014,988,670,568,708,630,910,069,049,363,677,
541,939,016,429,445,327,327,637,437,335,317,454,205,421,557,157,093,840,707,
005,119,677,507,926,148,839,868,988,295,398,662,049,041,279,677,456,477,820,
407,362,675,748,041,107,972,301,009,208,652,162,565,923,163,548,077,577,002,
974,844,510,658,231,010,756,932,493,221,851,425,911,226,840,025,975,923,474,
147,391,203,874,470,564,879,921,602,511,499,643,588,266,684,145,711,085,757,
003,415,405,394,468,193,989,406,542,059,945,237,229,585,650,380,825,081,511,
369,105,677,210,774,765,752,825,696,093,239,867,233,797,843,592,306,288,060,
435,234,830,868,303,994,466,531,913,725,585,424,492,084,161,832,419,100,322,
526,678,803,894,453,640,795,562,026,297,611,233,079,785,073,453,453,073,665,
796,707,174,900,710,058,402,537,282,910,869,629,705,792,339,840,525,485,873,
652,635,936,735,880,949,046,388,907,608,163,157,527,556,422,301,953,061,106,
981,412,920,213,753,118,656,524,266,571,060,291,926,160,643,666,554,208,506,
468,229,301,230,544,731,157,112,802,542,686,472,064,338,374,131,906,928,311,
328,212,391,872,735,352,711,550,205,436,640,620,539,149,613,329,590,503,990,
628,961,296,484,797,360,724,841,374,224,538,489,850,377,528,098,446,086,570,
739,257,526,988,550,247,136,581,001,396,789,163,601,650,018,287,607,750,911,
999,570,771,568,225,315,569,520,110,279,844,629,557,417,281,945,712,535,906,
311,489,651,154,872,659,344,666,891,334,820,118,697,939,974,771,611,697,264,
797,926,413,536,203,496,349,060,066,410,608,824,891,864,523,177,717,567,826,
536,415,613,509,909,974,589,893,996,204,258,945,845,971,285,627,490,281,512,
435,389,651,278,650,885,842,188,551,299,668,120,077,554,392,889,737,679,681,
185,982,104,114,140,736,132,003,465,640,079,053,985,366,730,708,641,532,715,
856,932,332,575,887,575,299,400,117,179,191,605,703,011,530,569,614,426,886,
589,199,108,248,051,636,299,066,302,543,506,757,534,236,109,851,050,337,455,
286,907,283,307,799,870,032,417,430,385,966,466,592,062,585,069,025,892,256,
608,877,859,102,883,160,191,946,182,515,115,068,717,995,694,526,274,937,259,
063,865,153,658,162,526,618,168,671,732,396,969,129,050,259,022,901,753,434,
025,978,580,069,124,958,084,571,404,509,250,416,113,867,476,560,283,855,712,
397,533,580,765,020,900,944,421,447,932,594,285,481,264,646,867,872,265,014,
139,099,579,254,282,716,599,186,348,368,971,772,238,334,897,841,612,443,662,
497,587,393,933,785,631,809,230,201,214,654,216,266,076,453,973,727,552,197,
225,780,740,500,325,824,927,561,172,717,253,099,174,750,343,662,308,477,042,
868,591,709,204,611,854,896,631,995,447,224,788,903,255,243,822,891,676,983,
064,012,887,201,262,564,154,863,841,229,233,282,687,146,693,410,068,928,076,
486,511,362,467,553,573,343,954,075,141,104,012,745,970,004,713,498,003,948,
140,550,935,215,687,399,362,828,387,096,864,032,583,880,089,640,186,852,796,
258,541,449,202,353,774,779,304,426,088,597,467,788,345,935,534,028,587,426,
017,888,167,792,102,053,944,687,509,750,655,961,842,846,571,193,278,257,263,
944,177,200,763,134,199,318,626,603,369,150,980,187,499,117,714,934,997,520,
544,083,675,268,842,172,116,944,816,102,736,156,276,067,577,441,685,986,414,
555,267,648,557,459,854,801,770,294,800,399,750,922,544,388,012,052,628,457,
985,083,429,917,293,092,820,240,250,996,190,429,289,814,307,306,383,540,303,
238,264,028,865,888,986,747,476,807,327,413,790,330,468,547,101,058,164,736,
066,170,652,304,924,381,903,594,253,772,842,260,990,098,923,624,959,427,166,
096,195,290,816,146,291,995,716,422,152,103,879,860,113,219,864,099,822,475,
709,216,963,791,863,155,931,549,457,551,668,943,862,973,868,972,374,771,254,
077,828,767,724,737,934,190,652,774,053,858,374,918,215,246,482,635,106,529,
782,803,160,805,405,097,418,620,062,240,108,949,957,124,082,061,301,967,900,
639,593,443,068,690,951,337,511,208,696,214,330,425,731,076,388,735,308,310,
824,453,173,855,949,681,394,387,465,342,147,135,212,370,794,865,565,038,844,
301,823,311,472,103,351,896,590,562,166,790,238,415,191,612,452,344,893,285,
199,149,821,553,280,787,314,080,331,227,488,170,145,736,890,233,413,825,680,
860,383,625,416,153,321,003,675,397,052,481,113,886,089,081,873,959,117,715,
141,255,255,390,304,375,332,736,336,541,469,244,238,010,249,438,648,506,909,
313,241,528,576,450,732,897,770,224,580,656,636,520,164,558,544,815,728,979,
553,385,829,583,754,873,576,068,345,202,329,288,473,679,625,787,064,641,518,
015,275,707,518,213,193,810,582,328,167,373,839,341,569,916,929,954,244,893,
092,916,682,696,143,722,771,688,888,119,353,402,176,598,061,292,172,881,631,
136,994,945,013,444,470,589,825,831,335,600,577,507,673,601,266,861,956,878,
585,594,706,685,312,969,710,089,695,599,456,135,313,875,277,722,466,216,334,
905,666,802,013,128,532,800,614,965,932,605,949,164,629,621,185,847,396,895,
042,485,937,870,227,779,701,013,214,022,814,697,646,120,174,213,210,181,006,
520,068,042,617,677,638,368,707,787,534,359,785,803,685,234,156,371,219,060,
878,686,201,764,251,368,594,896,223,257,914,308,809,275,622,606,077,635,782,
273,389,961,725,678,471,783,225,040,829,843,783,169,375,986,539,422,580,526,
730,428,218,959,432,741,022,993,255,887,935,567,409,094,184,458,500,713,934,
396,242,297,990,829,962,751,184,142,294,931,918,629,511,431,845,288,070,959,
931,904,233,773,737,377,298,692,571,425,946,590,261,116,547,472,179,435,823,
080,635,471,257,934,671,269,834,710,056,348,783,504,076,307,412,604,189,899,
663,609,031,878,371,876,514,870,563,238,237,908,801,073,897,721,029,624,630,
659,621,879,459,543,817,771,539,096,767,287,993,684,405,958,091,884,515,404,
497,389,569,968,214,099,022,299,954,574,993,942,095,462,909,114,419,454,543,
468,826,551,120,551,379,044,103,189,278,293,541,817,615,515,796,926,568,245,
987,812,708,237,380,828,301,687,483,578,273,745,666,215,933,712,792,134,016,
158,623,589,297,327,955,714,623,351,452,302,188,528,628,474,936,250,589,045,
241,371,175,677,849,392,914,962,776,012,316,380,310,298,579,841,025,252,657,
686,886,391,303,521,548,702,330,068,446,884,796,097,092,723,976,948,612,512,
443,986,756,944,174,120,480,792,744,251,441,619,694,778,307,519,634,677,437,
378,247,761,896,229,089,086,867,627,763,952,383,495,434,161,989,577,082,473,
498,069,441,710,833,163,086,276,538,787,013,313,773,928,512,314,357,395,433,
244,548,341,334,807,665,697,933,709,679,528,115,170,539,676,156,201,232,393,
410,767,206,616,706,847,051,604,432,908,173,695,400,646,316,250,987,746,264,
874,014,204,690,845,616,238,071,351,651,906,673,735,432,922,383,271,683,850,
280,326,347,488,507,100,207,286,746,681,723,506,568,108,909,419,030,857,059,
343,016,617,796,066,457,499,888,642,435,883,838,893,135,661,550,274,526,343,
918,699,781,989,568,621,104,074,529,842,717,679,759,107,985,294,910,262,677,
772,489,318,158,999,601,900,214,716,546,198,777,534,193,718,536,237,959,678,
042,074,029,909,646,738,254,165,252,301,233,655,552,418,970,103,513,999,944,
544,101,061,540,078,856,776,392,111,885,011,929,834,310,464,604,504,352,424,
483,738,080,242,780,423,302,669,130,567,582,193,019,560,319,749,496,836,136,
853,906,274,309,833,976,603,536,515,351,272,821,433,869,041,063,801,330,293,
054,636,384,228,138,298,832,992,091,150,848,228,544,679,646,290,710,714,013,
619,715,328,053,488,172,784,046,613,785,460,608,981,607,679,236,578,193,807,
007,782,456,513,327,325,227,609,273,042,720,710,048,843,340,260,571,354,675,
941,797,181,534,109,915,657,369,145,907,714,040,300,723,805,828,994,654,307,
481,053,019,839,259,034,580,376,643,431,686,956,095,210,172,467,803,772,514,
434,583,979,769,423,786,724,432,849,553,721,166,807,524,455,483,006,795,308,
394,694,433,714,900,548,902,948,617,471,103,712,292,444,868,436,302,582,702,
664,879,832,189,945,378,447,600,844,781,967,836,816,935,956,036,496,454,182,
638,199,151,432,955,928,404,321,153,082,115,340,780,548,887,785,378,158,808,
993,540,129,700,402,528,522,331,719,180,256,550,991,641,760,131,496,665,483,
478,967,600,972,276,557,132,123,850,799,549,703,002,033,343,247,466,757,337,
523,439,300,891,795,237,196,781,929,667,536,293,930,465,415,077,146,689,396,
681,070,486,269,836,320,236,822,147,965,211,229,904,841,003,050,594,088,650,
839,825,166,229,062,098,771,006,711,947,291,901,780,804,308,201,737,601,204,
219,058,910,304,316,064,672,084,803,899,074,422,583,913,195,557,170,192,406,
001,629,511,704,856,770,937,765,405,122,283,214,074,383,993,306,330,766,836,
575,193,858,805,828,686,054,352,125,693,665,633,147,140,062,661,949,343,111,
182,554,284,889,291,289,821,776,533,334,095,137,517,625,743,738,271,185,803,
325,856,408,578,568,019,851,537,143,869,685,571,308,778,162,946,677,845,402,
399,276,691,666,639,466,562,093,793,012,975,469,347,895,569,255,856,492,114,
339,457,462,356,970,171,396,585,637,989,436,285,170,197,347,195,575,250,213,
941,004,978,209,095,961,824,798,609,665,564,476,471,326,813,280,852,687,554,
874,946,801,607,581,881,959,169,429,445,565,993,257,960,750,810,792,829,453,
537,600,278,307,747,304,597,981,613,609,705,591,792,696,531,538,543,220,112,
769,727,693,053,937,740,297,215,159,707,827,291,798,198,534,967,742,865,343,
292,315,742,833,830,792,659,895,753,145,141,275,574,607,706,135,019,857,491,
609,371,706,801,182,456,934,334,500,570,784,115,113,305,465,279,111,720,966,
826,831,410,930,943,755,108,301,533,115,418,100,571,890,646,993,867,472,518,
467,135,083,049,394,031,706,070,929,207,336,938,825,228,440,780,040,526,050,
933,947,435,170,485,763,474,464,143,643,460,036,973,480,755,912,780,523,270,
013,058,719,308,329,191,999,924,103,484,629,126,760,959,957,376,191,801,154,
266,886,442,541,676,350,823,700,396,352,446,151,286,888,450,524,572,246,181,
745,342,733,624,014,530,355,083,430,037,989,189,310,559,145,509,955,605,717,
050,309,246,095,788,288,922,997,767,375,769,860,077,379,295,134,880,959,642,
156,646,742,070,919,969,456,487,046,489,752,628,676,821,845,650,376,922,361,
319,408,202,005,098,615,214,401,686,843,954,005,485,142,959,363,374,007,093,
964,928,054,145,893,961,402,316,571,042,527,564,658,884,079,292,109,205,218,
500,040,243,675,947,274,416,488,919,789,454,287,161,296,287,216,188,308,423,
780,198,637,710,330,234,225,152,411,293,019,172,633,395,559,006,611,802,808,
236,906,692,260,634,028,571,727,470,966,197,117,205,740,706,920,341,720,255,
256,112,292,131,100,866,713,177,429,572,613,784,638,876,802,238,054,490,049,
318,723,034,549,296,010,704,317,326,437,936,452,631,017,279,332,017,769,721,
300,471,792,699,241,176,132,017,241,280,022,562,240,497,865,155,191,113,528,
092,206,550,511,292,364,463,296,339,923,338,281,039,411,042,076,352,315,863,
567,742,191,896,576,191,309,635,005,015,243,760,775,222,719,939,676,097,121,
491,745,334,158,417,242,671,086,457,065,653,564,546,470,316,155,458,710,980,
847,493,805,449,548,280,729,835,303,394,559,391,241,421,900,954,835,363,102,
041,987,583,255,026,052,058,426,844,660,771,430,606,964,610,460,312,294,626,
067,633,607,269,277,017,992,769,546,128,297,121,488,352,150,903,693,733,093,
559,234,422,747,969,858,296,422,422,963,564,206,381,168,453,252,520,775,528,
290,741,330,405,025,024,119,644,554,083,729,576,157,350,497,307,149,019,259,
458,679,581,430,729,304,586,245,307,497,482,251,590,663,409,131,320,796,347,
102,022,892,060,612,747,990,479,331,708,442,084,638,353,672,501,168,288,513,
463,865,212,415,697,346,996,936,191,431,884,546,088,548,269,071,401,562,469,
768,794,715,022,285,497,207,782,737,791,896,143,600,674,548,964,300,654,549,
368,487,970,462,875,272,071,428,267,866,586,634,993,674,940,075,353,529,895,
517,806,961,090,144,386,574,872,823,842,286,803,838,595,533,715,625,652,909,
662,341,407,794,847,312,088,699,378,138,554,178,011,118,858,829,122,529,570,
381,454,148,992,050,302,106,084,494,892,450,486,839,560,425,745,375,959,603,
367,918,387,808,191,100,031,803,343,405,132,957,770,202,538,377,541,488,136,
932,706,188,085,388,005,356,716,152,360,755,107,867,213,252,783,589,501,696,
102,268,494,707,920,164,419,328,492,086,376,744,393,530,727,921,572,272,443,
930,157,470,005,553,094,669,617,502,431,396,177,250,628,325,652,597,607,341,
487,061,934,809,949,769,965,857,204,844,119,620,162,618,424,256,094,703,491,
607,881,962,583,171,816,874,141,657,274,713,933,767,071,652,523,291,945,580,
182,899,499,916,482,734,277,850,407,809,775,142,115,053,901,446,227,589,903,
750,595,065,613,783,036,669,835,643,069,521,449,823,317,433,001,370,081,830,
448,048,569,148,753,304,790,815,627,073,059,309,034,911,026,398,945,080,170,
749,236,156,888,736,551,327,093,278,924,791,940,608,841,323,930,082,484,425,
469,186,428,851,138,463,173,276,420,652,446,627,796,857,117,442,561,879,258,
624,123,905,281,379,354,424,170,431,879,248,267,943,293,763,782,461,870,930,
938,552,160,013,451,299,366,761,884,565,341,023,515,985,223,857,924,616,051,
214,230,988,974,063,823,711,247,554,463,559,264,268,250,411,304,210,009,994,
937,204,898,631,104,331,984,534,795,988,493,477,898,937,925,330,182,141,721,
001,409,649,568,556,289,247,687,811,562,991,618,784,189,119,611,918,592,274,
118,660,124,176,021,079,096,307,872,414,116,454,852,375,310,896,660,122,011,
061,732,552,403,526,116,197,916,375,188,611,466,344,668,426,727,571,085,894,
279,492,071,709,952,218,684,056,849,632,453,227,368,522,328,948,338,389,118,
641,902,390,669,836,246,922,735,793,485,241,310,662,495,669,201,634,849,849,
013,788,072,795,212,013,593,312,785,273,848,457,714,853,424,831,481,042,205,
946,002,695,231,697,130,359,580,136,183,817,012,918,275,916,079,174,990,892,
355,032,033,145,055,894,684,706,051,104,100,941,546,238,477,886,212,000,628,
526,580,052,181,874,042,836,241,074,356,095,658,880,263,282,690,783,887,412,
486,495,294,463,491,709,373,640,907,262,379,395,387,460,120,959,970,250,907,
229,067,322,331,952,650,978,214,814,063,085,286,387,118,534,437,330,499,953,
553,374,962,199,621,061,657,466,267,345,284,111,365,577,846,960,664,690,590,
005,672,283,183,159,777,562,898,191,384,602,905,096,958,441,231,136,258,877,
350,332,329,853,122,710,043,381,116,023,539,632,802,549,237,562,165,841,458,
555,632,811,306,841,731,680,470,570,033,129,298,223,417,591,656,575,997,972,
602,755,857,626,328,351,757,172,014,058,565,380,513,727,930,065,098,678,389,
435,468,102,531,145,978,036,108,046,337,318,549,468,104,526,917,128,724,022,
703,682,883,417,433,302,462,885,658,756,344,039,462,194,173,495,047,706,660,
746,520,152,121,356,443,257,954,404,129,627,145,494,799,086,979,838,297,964,
647,678,626,650,717,952,727,367,844,608,986,508,821,991,865,995,085,347,912,
074,992,482,056,257,704,627,045,256,527,447,983,235,918,816,774,771,306,017,
984,379,682,166,561,919,673,428,704,702,501,575,118,325,975,043,512,284,568,
624,328,981,441,815,904,850,243,727,990,117,166,390,733,453,588,143,117,334,
768,698,455,476,182,350,999,286,381,903,792,392,737,205,815,604,481,313,490,
841,315,635,210,448,051,030,238,877,221,926,810,171,537,348,648,454,205,335,
840,879,711,295,008,211,956,530,003,959,501,831,598,779,415,442,042,008,400,
103,400,097,395,700,882,801,696,186,780,522,950,097,200,202,978,709,132,235,
519,922,811,685,320,195,182,472,257,045,839,176,240,368,026,740,323,890,214,
098,495,547,839,627,819,702,785,172,844,082,279,717,121,124,902,575,555,506,
016,674,273,387,863,373,673,062,605,023,680,718,945,292,479,328,583,396,016,
817,533,569,527,242,302,198,658,983,039,686,992,030,675,915,234,195,654,068,
205,467,750,693,652,783,135,240,739,651,152,077,990,582,353,393,127,566,642,
006,160,765,655,650,157,290,771,610,543,287,702,385,196,351,448,987,219,028,
757,544,025,546,825,984,259,813,068,296,075,071,608,755,106,440,345,929,354,
767,164,935,782,268,361,121,434,858,987,784,322,441,429,389,910,809,540,762,
865,158,540,030,267,722,382,690,175,015,831,998,196,272,968,496,118,227,443,
251,723,933,085,369,336,191,218,535,057,957,388,609,972,253,179,555,985,031,
025,592,666,459,280,123,053,453,460,167,376,843,713,994,481,164,864,938,574,
243,828,984,850,751,872,311,535,821,145,662,133,978,469,338,640,643,099,550,
413,861,426,571,647,343,318,705,535,975,883,264,561,537,066,610,875,181,875,
633,265,623,036,152,513,385,364,640,851,630,241,834,612,110,094,936,496,938,
325,595,873,019,768,187,703,101,562,680,097,015,307,952,445,796,202,723,620,
876,875,171,404,650,726,520,497,263,922,162,685,257,949,018,932,928,479,700,
371,483,541,737,883,834,973,819,915,083,581,249,520,161,921,226,750,396,987,
530,378,319,054,593,885,067,613,314,022,558,135,609,130,687,370,098,220,265,
853,943,080,736,250,888,293,755,556,024,310,476,704,375,639,908,533,604,546,
469,147,435,162,493,166,973,887,842,847,275,977,968,317,135,099,407,882,066,
248,395,035,143,270,121,149,925,851,870,586,992,355,172,720,878,971,781,637,
593,391,256,785,275,618,139,630,849,068,119,312,092,659,896,873,556,427,359,
835,390,260,668,306,771,790,343,071,952,599,731,881,200,709,614,783,224,571,
715,500,818,161,293,284,259,317,850,084,391,917,685,377,364,313,141,039,010,
618,051,602,978,892,100,373,573,233,925,430,589,885,507,292,845,489,471,537,
983,870,174,431,799,658,027,187,843,530,827,578,558,131,058,872,829,174,649,
189,126,268,561,674,140,282,783,506,190,795,964,288,207,478,402,974,270,569,
050,766,954,573,001,258,158,552,106,331,065,470,640,815,332,952,342,757,213,
045,749,054,408,403,560,751,491,367,222,102,303,733,232,448,863,870,604,719,
522,019,782,531,557,759,641,409,538,240,039,357,465,223,234,331,277,907,472,
470,089,923,985,680,658,304,089,517,587,191,768,067,916,151,414,778,572,252,
371,026,181,338,110,471,253,614,443,118,668,793,320,240,124,100,730,313,140,
435,520,635,467,818,933,531,172,728,715,819,155,492,812,298,039,385,996,747,
107,336,814,941,567,132,146,967,241,386,890,111,713,621,760,955,032,686,244,
444,450,992,335,325,523,988,325,230,957,931,046,181,727,049,019,946,227,920,
836,909,228,938,847,689,919,297,334,857,163,615,144,197,527,659,504,207,188,
646,612,644,515,335,951,791,515,637,455,878,316,893,794,883,314,183,380,339,
334,581,719,926,450,979,296,135,406,589,853,909,097,901,417,811,755,930,099,
025,666,715,263,378,339,418,840,895,451,619,861,181,595,219,728,050,990,330,
213,842,435,326,153,250,722,963,243,757,200,189,395,669,818,909,416,797,265,
932,261,675,544,520,251,797,482,813,701,462,992,989,719,027,303,495,137,127,
730,268,701,657,286,486,582,794,121,226,706,786,960,775,397,045,969,098,522,
459,179,594,726,946,877,424,467,174,711,615,881,489,983,555,475,616,375,976,
595,160,246,758,508,137,206,180,727,464,117,785,934,838,184,296,018,988,623,
043,991,989,587,953,991,185,879,692,057,464,805,005,310,674,340,991,180,002,
502,375,225,737,554,998,685,499,838,979,476,400,009,733,146,970,338,418,045,
008,020,935,335,983,907,262,555,982,120,202,102,349,485,708,218,715,773,385,
467,636,764,432,992,890,501,369,584,215,126,953,599,277,150,175,673,706,871,
536,858,231,341,593,513,192,883,678,466,389,366,766,896,019,314,314,294,985,
393,397,623,082,049,325,647,557,111,436,060,619,056,315,433,505,808,269,567,
349,218,113,967,383,350,775,312,351,379,359,430,998,923,703,341,587,792,917,
817,628,811,427,651,927,636,719,952,033,944,771,395,504,952,032,264,805,687,
086,696,426,865,206,920,018,553,717,087,352,636,300,089,127,849,738,792,445,
564,667,749,584,316,968,098,137,535,909,809,645,713,114,660,714,409,787,507,
297,220,745,901,648,543,007,137,687,884,400,673,822,461,096,873,939,988,153,
838,486,021,826,633,561,177,982,271,530,027,026,490,325,778,655,859,925,425,
181,333,450,734,122,404,508,252,100,044,703,613,400,376,113,960,689,157,870,
903,535,179,399,733,009,691,503,963,122,886,696,012,962,154,977,480,864,505,
881,810,519,375,277,563,880,849,387,711,309,327,723,912,932,826,362,877,953,
883,358,473,464,031,161,493,151,827,111,976,763,945,905,745,473,884,789,562,
209,094,236,604,837,392,360,311,086,273,532,468,224,970,645,313,460,812,812,
887,402,533,740,486,118,919,385,770,147,278,406,020,808,955,745,196,273,184,
348,661,482,251,649,683,097,575,795,582,094,764,905,408,311,824,034,395,581,
820,608,792,140,417,148,283,254,472,729,943,193,573,659,434,235,420,238,040,
028,725,859,430,530,624,234,292,950,797,922,896,659,271,464,873,939,730,834,
768,651,388,263,607,204,793,397,082,549,629,556,990,910,139,327,181,106,547,
777,168,148,298,890,640,374,340,587,043,687,321,905,971,777,294,234,024,712,
062,760,053,564,110,080,618,352,483,837,513,530,396,932,710,264,070,262,581,
292,832,527,932,540,935,515,417,339,853,754,937,399,897,656,642,894,346,236,
012,591,249,861,855,279,664,917,026,420,261,210,495,278,779,170,943,775,123,
831,863,874,214,110,276,481,165,733,876,517,464,393,254,416,020,660,731,833,
404,571,646,026,385,777,146,815,207,574,080,866,386,896,785,893,973,328,903,
935,341,067,110,230,441,429,395,546,126,768,502,637,233,701,577,377,852,620,
646,648,536,153,925,516,654,260,474,747,515,653,790,967,322,736,844,821,712,
708,928,055,713,588,706,201,618,884,112,352,284,510,231,794,993,344,559,709,
401,331,002,630,959,138,589,773,992,889,304,770,399,029,401,948,207,793,024,
045,369,335,604,239,101,228,304,738,681,991,187,807,462,019,832,202,223,254,
512,390,411,845,532,920,738,084,088,346,422,434,338,185,532,276,735,138,801,
187,493,738,939,235,959,112,205,318,307,511,277,182,613,947,991,306,152,412,
753,211,066,546,268,629,885,461,937,177,805,978,582,100,339,349,750,081,480,
741,910,840,724,846,472,537,950,383,524,246,310,623,389,178,932,402,938,298,
730,816,140,998,351,466,631,173,853,074,751,337,517,376,025,887,265,176,566,
382,654,986,824,502,449,918,716,079,367,216,555,292,498,968,831,741,505,023,
413,631,783,712,887,522,885,484,035,258,612,294,215,436,623,104,029,847,300,
600,370,539,110,829,339,932,004,746,794,808,550,221,790,942,465,753,553,699,
364,309,106,495,949,138,491,468,895,039,235,607,443,069,403,875,164,216,601,
731,557,264,319,326,858,788,675,133,903,500,987,746,176,562,998,147,329,572,
696,012,610,152,876,398,762,535,359,323,124,956,304,128,741,429,003,819,792,
257,845,719,645,696,979,296,140,798,499,839,022,117,160,772,059,593,844,839,
978,766,062,287,230,912,885,499,470,028,520,957,871,123,395,410,524,081,075,
816,392,178,017,074,672,379,155,740,216,161,347,869,963,702,616,339,376,018,
185,909,858,339,415,391,987,797,128,209,696,241,573,537,984,350,770,587,525,
017,562,492,891,746,813,314,328,266,303,772,122,980,204,930,067,574,852,373,
514,353,491,170,881,222,576,778,893,159,614,688,421,419,244,595,391,693,390,
853,562,190,701,956,311,416,118,092,601,151,750,032,636,905,883,752,908,554,
578,242,898,913,474,785,958,392,194,824,982,245,044,194,942,305,951,456,373,
230,143,278,572,321,148,088,102,056,252,494,919,693,247,115,480,312,882,554,
758,583,508,756,277,601,706,964,539,574,530,618,772,685,061,363,744,909,307,
121,470,376,060,911,045,285,927,448,463,281,820,739,773,192,973,965,729,594,
446,365,427,489,262,193,665,754,553,782,565,846,310,551,416,724,182,808,641,
059,094,221,368,318,577,255,160,267,812,874,545,828,279,495,044,086,671,656,
549,575,987,687,259,427,109,802,334,654,921,622,220,328,308,848,250,509,572,
381,480,373,359,116,782,440,799,221,536,519,511,583,096,162,424,295,831,379,
606,061,500,687,935,931,885,792,327,581,658,710,917,478,621,970,828,831,137,
079,684,935,890,471,155,834,399,052,281,883,273,491,711,336,250,330,440,501,
469,371,652,660,133,515,311,329,377,232,117,805,627,370,467,473,494,478,632,
604,597,586,785,873,486,068,313,391,236,206,588,412,586,376,630,004,610,877,
287,096,506,814,341,421,332,024,420,315,949,792,837,291,239,612,285,389,862,
147,353,205,068,923,568,144,065,119,388,080,562,021,152,200,677,096,293,147,
255,730,650,957,169,998,652,117,582,311,611,196,629,568,954,912,381,925,411,
191,526,048,223,390,365,793,393,486,363,128,673,073,451,638,760,313,001,419,
005,494,758,072,072,730,240,581,218,602,397,183,969,467,186,060,733,377,554,
747,081,105,819,738,344,426,380,633,514,269,252,417,848,459,389,512,815,013,
015,979,038,622,079,204,784,324,783,530,255,806,120,348,956,767,439,709,367,
899,942,154,421,918,423,241,016,339,247,881,939,022,417,051,693,010,510,917,
713,606,152,054,111,352,795,998,903,490,568,386,256,878,379,508,745,807,725,
017,979,723,613,845,997,404,954,399,689,920,722,220,083,732,208,538,026,208,
403,908,446,455,176,782,407,927,042,002,147,251,532,112,371,947,803,749,443,
524,435,094,054,742,972,084,691,282,633,393,067,755,576,508,351,092,637,521,
399,847,462,128,572,843,030,592,479,127,120,284,212,901,982,209,594,406,365,
362,863,646,909,345,986,355,921,844,966,987,858,484,229,798,213,267,277,411,
231,455,673,043,059,520,876,513,895,518,685,416,386,345,281,706,404,565,838,
725,732,896,606,707,373,136,293,645,113,280,634,471,420,007,245,388,039,870,
898,023,366,167,316,070,956,327,093,698,416,017,785,306,243,865,138,157,920,
522,275,291,036,961,226,547,749,529,095,781,940,966,567,671,269,404,032,104,
806,644,244,766,458,618,903,515,603,376,883,075,828,667,521,357,785,574,697,
645,225,787,869,711,751,215,209,325,730,906,118,658,067,477,672,851,780,740,
396,370,991,178,758,772,499,767,277,806,796,191,184,270,779,848,541,113,305,
019,102,103,845,634,845,911,046,356,604,233,186,151,015,652,340,873,873,572,
964,109,779,581,430,520,463,044,668,963,267,934,802,866,815,483,681,249,829,
268,731,551,943,045,503,356,493,720,684,112,999,146,578,440,627,973,761,003,
116,325,269,357,661,718,660,912,137,201,875,619,421,047,716,388,170,967,339,
567,990,554,653,530,142,522,124,983,877,350,159,414,070,360,345,693,431,640,
960,816,594,653,117,463,470,016,944,334,982,066,299,786,956,352,828,560,359,
292,056,944,546,561,941,767,991,786,574,021,791,420,711,841,073,032,213,946,
527,936,124,070,441,147,545,437,065,237,100,780,711,283,792,735,122,454,263,
874,331,849,617,793,481,457,494,061,137,418,442,146,709,456,318,701,891,503,
522,564,101,403,302,901,422,110,048,986,873,511,869,670,835,027,735,363,761,
723,169,253,932,241,616,615,496,846,119,317,569,772,645,161,511,886,681,258,
768,981,879,363,231,176,533,673,458,687,847,866,346,732,417,134,612,150,255,
680,417,580,896,907,890,965,575,117,570,979,840,693,406,446,357,088,666,475,
724,251,920,230,299,762,026,153,643,990,963,792,328,347,355,631,348,417,254,
101,512,800,208,753,296,381,138,554,252,345,096,214,326,686,754,237,831,233,
659,146,985,135,086,813,754,708,396,166,456,693,461,043,019,416,930,571,720,
214,258,630,718,619,767,378,316,120,853,084,853,472,073,001,366,241,910,151,
320,498,548,766,987,344,840,506,652,027,665,739,947,447,262,402,995,434,913,
004,839,763,216,319,610,172,417,099,334,954,155,422,612,730,378,264,050,260,
985,213,729,479,040,168,260,500,320,559,036,579,841,905,635,883,466,862,891,
430,928,859,430,053,682,407,739,575,768,319,994,234,992,705,147,573,862,248,
470,621,173,222,532,937,835,201,763,764,101,625,368,495,843,063,967,881,314,
380,878,880,038,180,498,555,139,650,775,212,315,613,406,496,251,584,908,672,
637,411,861,990,217,110,195,680,676,893,651,192,413,704,584,328,250,387,545,
242,998,089,925,099,045,818,768,731,757,696,082,212,455,302,238,056,502,955,
466,172,128,583,320,398,301,137,459,343,914,216,884,012,819,933,819,499,962,
043,971,452,120,742,373,894,032,456,160,524,380,661,215,153,848,957,529,211,
065,293,486,417,349,253,691,351,063,897,895,074,839,945,843,320,455,121,288,
873,055,258,550,739,225,216,873,126,168,946,030,365,907,727,220,126,629,172,
626,714,315,452,412,777,940,464,348,740,149,089,541,533,699,200,353,424,090,
783,974,611,248,071,157,928,843,317,836,831,204,127,720,616,799,909,579,829,
985,851,564,199,066,811,583,582,998,088,838,541,004,614,382,452,742,799,243,
093,994,955,450,125,906,055,126,436,980,707,585,320,679,592,159,538,560,214,
605,699,425,809,276,627,498,823,230,069,841,068,346,654,363,137,339,857,759,
625,315,434,058,474,561,342,747,407,184,053,068,612,047,305,325,647,273,966,
644,257,709,056,966,258,346,945,873,422,950,674,504,253,256,403,869,234,235,
132,047,285,956,947,253,022,971,890,842,836,760,846,434,383,100,769,164,622,
407,151,924,399,873,642,662,155,630,264,640,387,862,712,767,908,071,371,090,
417,870,601,654,927,259,270,486,051,399,316,220,076,572,939,533,729,429,010,
844,422,773,533,578,538,773,650,551,340,084,369,172,874,233,344,590,784,352,
404,511,385,673,188,958,601,372,290,885,984,114,665,200,145,491,783,752,461,
630,782,796,941,493,735,208,608,832,305,946,868,312,856,582,478,304,992,641,
290,523,267,804,347,099,421,422,429,520,218,862,231,829,170,150,379,465,357,
072,525,456,150,536,954,400,169,405,388,626,374,448,995,906,992,254,618,027,
103,772,252,203,601,177,641,296,240,443,858,546,985,119,980,310,554,569,006,
014,660,378,543,038,166,503,504,400,937,865,351,513,931,559,996,388,440,391,
483,126,603,609,565,707,168,553,040,102,797,378,914,862,292,467,540,691,297,
916,142,027,304,520,704,059,506,177,791,534,597,176,199,820,599,535,808,708,
278,594,444,597,481,272,189,362,134,521,337,408,562,129,187,253,741,277,172,
612,162,184,577,652,614,814,719,179,444,802,679,656,830,773,269,734,966,156,
982,340,255,991,134,229,668,814,567,197,543,317,275,557,329,329,095,306,144,
073,871,259,538,333,808,013,318,234,633,127,426,899,329,687,415,458,019,135,
419,163,002,830,812,769,266,095,979,053,001,559,885,122,359,850,448,993,779,
343,809,116,550,365,523,019,087,870,860,998,941,063,798,514,177,505,260,232,
003,318,050,842,502,466,696,032,636,034,435,538,352,729,196,659,809,754,051,
519,143,003,590,605,944,920,134,362,884,362,496,832,770,076,223,508,914,573,
658,642,872,804,315,741,077,435,011,349,632,267,756,332,028,083,302,317,544,
124,349,440,173,069,752,418,418,607,656,589,320,662,850,606,501,878,402,750,
176,771,937,331,962,347,888,973,073,680,263,450,392,611,140,639,506,918,555,
403,739,463,408,367,446,165,704,231,351,110,997,470,678,646,520,890,677,776,
704,301,791,700,584,823,944,633,427,787,618,405,461,035,025,632,277,847,047,
251,648,691,952,653,131,954,024,356,106,379,421,968,524,597,595,787,306,457,
249,138,574,860,021,697,022,390,963,596,198,217,231,772,978,804,813,920,122,
407,096,974,132,658,747,622,327,812,238,237,254,316,058,453,774,660,822,683,
329,615,129,833,994,084,039,731,097,197,693,914,679,449,050,908,146,681,820,
095,030,012,167,574,868,024,394,679,325,163,365,202,608,967,119,937,527,013,
160,077,244,967,487,710,844,285,077,848,011,376,086,730,545,510,990,472,027,
961,827,362,613,170,247,176,166,835,373,214,730,477,024,798,813,264,266,803,
795,513,537,458,259,171,673,277,094,115,746,358,857,314,021,307,543,288,626,
458,366,677,021,149,847,477,954,648,348,593,763,911,861,940,121,354,186,951,
133,083,764,883,722,542,169,914,850,106,916,354,045,271,137,758,981,966,544,
199,649,218,459,630,089,858,483,396,355,852,965,605,093,351,519,205,851,382,
405,122,537,967,880,330,712,845,111,648,007,875,309,637,427,169,737,317,484,
652,711,704,583,959,006,677,861,532,477,660,337,392,617,722,826,911,540,089,
919,128,935,767,575,088,016,860,113,843,775,907,421,940,759,963,872,352,281,
871,124,796,257,523,184,184,823,051,137,265,434,509,939,712,528,501,077,096,
512,350,955,012,939,408,290,795,969,716,189,939,611,803,812,634,567,635,310,
019,091,628,064,941,035,459,149,423,281,233,833,806,475,734,664,432,541,628,
991,892,489,382,991,822,711,026,351,811,571,505,008,695,809,183,129,422,117,
557,337,301,642,584,763,195,271,782,185,209,103,781,794,788,400,449,745,884,
368,633,254,108,608,672,511,330,861,797,738,000,697,006,633,619,403,891,640,
491,459,246,883,373,890,427,494,889,477,862,275,020,085,396,423,550,767,050,
876,424,471,844,924,328,097,131,092,226,929,152,636,844,986,659,188,390,012,
370,192,002,159,550,921,993,258,395,729,673,317,777,482,975,948,851,601,808,
513,015,339,023,954,433,664,704,270,710,051,919,881,865,322,888,871,946,873,
022,121,267,896,276,952,927,670,292,404,618,910,258,426,867,330,783,636,241,
114,660,697,476,790,248,174,629,336,891,752,527,116,026,598,432,436,925,602,
560,565,706,515,530,646,155,122,628,553,572,147,358,607,522,379,733,430,038,
730,673,946,713,704,774,259,093,140,073,995,419,777,344,301,364,710,545,828,
861,313,403,607,183,421,010,637,889,519,481,442,689,167,461,740,506,114,557,
935,913,765,887,773,554,846,553,518,149,006,983,943,290,435,033,124,438,438,
367,289,956,133,340,339,730,715,760,404,912,540,232,565,012,555,913,372,748,
220,226,203,624,306,987,787,234,446,590,364,875,069,397,231,359,790,375,604,
837,287,039,681,445,050,444,393,554,730,445,891,798,142,178,061,111,961,188,
912,784,717,052,877,560,243,430,955,979,060,708,384,400,038,837,525,489,833,
494,695,798,902,514,771,243,484,776,039,615,491,405,096,515,142,426,904,216,
362,629,341,438,871,122,465,004,375,274,882,226,046,083,329,242,239,476,781,
646,851,540,658,540,937,253,345,995,427,235,450,836,963,430,862,058,685,657,
296,646,436,966,009,895,663,699,851,002,852,207,960,082,681,655,395,348,743,
261,971,338,032,175,264,428,654,897,806,599,739,026,124,032,483,520,850,681,
139,841,342,476,731,486,332,062,961,120,729,010,689,119,635,478,330,214,306,
362,682,286,209,480,938,859,978,197,408,083,508,020,573,124,618,073,378,947,
880,685,778,228,962,710,128,608,934,073,666,866,440,867,499,866,736,756,728,
018,264,703,486,926,413,146,197,132,514,567,086,795,224,299,965,175,618,436,
760,552,024,293,446,221,308,442,088,922,233,387,173,157,841,764,644,984,023,
873,260,553,443,025,802,239,718,146,858,250,720,347,553,662,689,232,610,017,
305,099,936,186,954,906,402,551,890,916,871,423,334,971,900,440,358,288,858,
052,386,473,973,768,176,109,704,151,308,729,863,500,300,582,403,129,705,366,
185,409,682,647,628,467,221,466,693,988,466,124,245,535,758,630,455,230,020,
544,472,546,600,476,319,726,209,644,062,194,067,037,841,996,903,767,204,148,
475,287,166,608,380,257,801,462,095,496,675,642,023,378,941,588,227,856,742,
470,667,039,855,479,860,778,030,610,918,936,941,959,506,103,176,363,388,098,
339,902,736,819,819,671,715,961,173,289,035,773,700,500,956,197,788,887,353,
385,242,508,246,340,216,444,655,682,375,868,123,251,514,118,986,244,530,737,
095,922,380,060,580,321,302,472,813,811,920,252,081,609,918,130,279,951,590,
396,631,098,560,321,057,756,438,957,312,170,713,513,695,655,852,803,644,153,
781,828,781,476,461,775,764,155,618,096,519,600,302,985,280,269,467,490,576,
221,254,368,657,938,348,990,822,422,595,858,337,766,820,951,210,868,103,156,
673,567,026,712,913,269,740,694,944,446,916,286,008,442,071,129,405,434,553,
290,770,548,684,106,225,156,198,907,299,661,867,186,379,881,021,333,504,110,
087,171,049,673,923,977,679,748,163,865,266,128,194,504,215,397,913,399,873,
333,853,834,832,680,870,052,779,047,514,212,750,243,074,992,674,443,920,591,
212,539,989,691,029,298,017,551,411,595,799,628,126,793,976,492,535,547,994,
520,179,123,938,965,760,542,097,295,574,356,736,075,262,157,847,177,442,411,
321,983,656,346,381,494,940,067,523,309,632,199,523,180,811,202,439,429,708,
020,406,593,981,219,630,589,185,175,453,539,494,102,910,646,268,282,078,186,
632,472,654,628,564,933,146,107,216,056,017,118,726,894,666,895,344,183,059,
055,235,486,690,592,486,765,430,830,475,561,881,237,534,670,910,516,227,105,
451,104,844,464,191,186,542,203,862,673,164,404,322,019,976,773,153,035,839,
295,608,281,028,090,812,908,919,588,363,892,836,336,230,785,761,016,416,928,
021,535,096,396,804,599,587,599,757,134,312,245,607,111,713,305,300,203,002,
110,579,753,034,147,270,025,455,094,863,228,453,728,331,539,194,218,294,320,
962,716,145,035,754,221,573,899,563,123,944,770,129,429,211,403,465,880,558,
365,067,443,145,721,904,700,097,777,132,535,334,105,822,309,807,718,479,801,
850,865,660,041,901,071,946,113,267,619,833,716,919,575,514,874,754,904,887,
390,660,328,594,664,944,221,461,266,630,659,959,894,082,775,284,292,231,645,
377,864,968,699,137,310,152,675,663,918,117,125,916,441,809,766,199,556,190,
207,355,455,761,541,306,431,712,400,484,994,059,282,447,304,282,619,387,792,
665,907,186,449,481,805,117,675,997,668,061,632,643,844,624,662,434,744,868,
310,403,668,787,002,468,419,438,162,433,729,175,875,678,716,311,368,724,856,
377,422,350,957,346,018,169,573,001,183,295,814,327,830,655,473,607,114,578,
631,369,881,882,650,490,967,734,318,476,337,688,127,406,845,489,121,615,145,
033,403,486,354,059,091,251,069,047,143,205,743,445,191,809,272,248,915,412,
872,279,725,484,502,576,502,501,798,305,558,311,439,298,489,203,096,342,218,
287,614,532,077,780,421,791,693,498,046,033,509,206,917,011,785,047,675,474,
578,978,702,141,833,972,149,808,766,578,517,159,469,515,193,760,562,121,670,
769,479,669,995,395,688,941,480,353,794,195,344,929,404,535,595,544,668,064,
139,149,461,763,978,796,916,671,971,404,878,486,765,903,490,113,249,645,177,
471,897,949,837,159,371,715,034,262,008,964,234,074,288,911,950,695,838,416,
678,556,175,003,823,797,441,244,115,422,343,990,286,585,468,506,580,452,897,
684,939,453,061,769,769,454,700,519,829,531,398,684,171,397,342,827,387,220,
834,140,050,310,853,330,325,081,530,201,978,219,114,704,871,100,047,099,006,
883,422,684,546,618,372,109,951,688,412,647,247,057,828,589,086,339,113,002,
970,804,354,716,404,406,175,719,855,626,723,388,562,202,225,431,332,833,076,
176,082,453,314,335,444,953,897,164,906,601,035,330,281,401,656,226,488,923,
063,670,304,556,103,982,315,990,985,233,638,817,259,697,115,799,939,480,284,
414,808,346,378,178,515,637,314,824,340,877,595,616,460,970,733,597,904,267,
712,103,194,410,957,283,265,484,131,218,457,812,247,056,707,087,434,802,559,
651,582,375,325,318,266,052,113,956,658,989,829,528,794,773,582,175,379,332,
260,656,549,182,559,071,212,991,561,047,117,746,934,793,438,855,804,918,409,
813,383,852,960,608,779,681,505,562,422,853,479,017,012,286,952,389,073,970,
645,661,632,005,897,990,381,967,285,708,286,100,717,365,652,760,007,477,554,
981,577,957,147,521,350,103,731,587,694,236,778,833,875,450,375,763,521,188,
201,448,131,656,284,894,362,377,667,964,712,224,632,861,461,901,971,946,945,
425,124,227,451,977,297,285,385,842,311,906,174,382,291,234,856,073,453,437,
987,983,659,277,758,955,390,072,413,277,173,219,986,129,818,533,667,739,719,
968,635,305,645,733,870,855,658,448,904,057,727,547,565,488,652,530,221,174,
848,220,110,488,712,129,737,221,155,133,193,205,998,920,413,427,887,496,224,
984,271,552,523,206,727,625,054,889,082,933,677,383,141,060,179,435,468,677,
732,626,508,490,255,683,830,605,636,781,594,817,178,813,180,578,872,768,441,
006,021,388,668,779,767,214,631,386,322,562,288,270,953,979,915,790,127,935,
535,957,385,846,887,203,195,200,652,291,607,567,668,481,450,479,272,543,814,
373,787,633,553,437,171,812,794,886,609,118,815,354,859,199,530,342,000,201,
354,099,455,959,840,871,986,487,406,078,115,845,400,865,908,758,125,268,561,
872,851,670,160,805,623,932,817,066,987,738,895,637,960,068,487,911,366,111,
224,773,348,125,413,095,489,054,310,323,330,138,525,500,252,570,161,570,969,
779,553,147,004,245,076,065,117,086,567,990,858,998,777,370,035,409,893,244,
154,479,996,199,020,595,184,202,592,615,121,646,504,423,410,622,239,661,746,
515,423,716,676,836,895,028,492,797,624,882,502,795,695,511,817,061,531,428,
786,533,381,175,664,595,651,954,909,861,489,553,160,480,401,813,418,148,468,
762,456,277,794,173,271,526,874,284,619,018,701,878,135,067,026,958,166,530,
543,013,905,460,203,694,806,356,308,896,303,815,776,436,822,623,046,273,111,
887,508,618,229,325,123,141,373,287,036,831,292,957,978,035,373,423,419,965,
658,243,922,121,882,712,650,645,942,814,987,665,257,701,744,031,572,631,380,
954,134,209,392,746,382,015,701,176,792,809,314,796,495,130,095,229,916,601,
576,794,907,259,641,141,956,619,978,007,452,890,400,749,037,440,413,658,838,
071,330,584,953,136,082,025,784,350,075,271,764,345,910,327,716,631,832,464,
956,356,084,202,739,900,779,589,250,403,579,932,813,262,124,541,748,360,234,
299,146,553,489,736,422,628,565,743,477,108,280,173,230,078,997,471,869,209,
803,625,824,458,770,285,667,179,685,923,698,392,820,105,192,828,567,323,750,
126,592,087,500,658,587,010,959,215,549,258,609,231,123,677,620,079,171,641,
699,920,428,540,901,450,626,577,789,345,659,495,441,059,204,520,276,849,429,
961,710,415,271,472,601,303,809,327,922,637,499,979,067,741,172,862,380,317,
154,473,729,825,008,614,876,505,636,043,441,773,629,227,821,481,998,639,909,
172,655,945,282,265,712,976,448,291,692,550,006,842,179,408,517,970,838,467,
910,229,926,288,761,512,236,969,577,418,453,943,162,553,206,876,106,293,363,
869,037,622,838,403,376,650,138,316,555,817,751,418,439,458,251,538,702,315,
638,051,057,580,229,592,053,972,119,696,153,578,850,474,557,980,641,663,143,
489,848,370,477,423,531,280,869,834,808,726,790,801,221,189,175,944,514,820,
871,997,947,182,116,920,979,111,640,566,608,520,137,211,980,741,317,939,206,
896,229,306,808,437,048,070,549,838,405,175,663,634,623,994,181,910,361,139,
022,900,224,631,523,437,651,939,892,639,319,226,146,941,535,471,947,683,631,
832,202,152,135,340,062,538,097,429,156,698,765,335,105,147,719,981,573,087,
714,048,335,205,178,260,994,467,832,154,347,185,698,074,603,915,312,839,227,
127,896,437,253,378,635,375,463,134,476,769,452,426,497,243,425,771,294,310,
118,474,592,298,583,348,103,824,950,028,177,706,572,709,703,396,993,831,858,
897,822,685,084,967,869,137,158,461,661,530,090,934,969,848,407,887,628,726,
706,541,033,264,034,277,818,199,537,574,672,520,513,417,711,415,976,321,050,
172,587,778,081,111,181,066,029,380,394,428,740,121,133,477,497,998,197,253,
466,023,919,220,923,109,701,221,093,451,608,834,347,023,856,485,490,337,749,
095,066,994,727,398,016,741,862,970,550,830,578,778,385,819,556,966,168,884,
502,758,339,233,198,046,463,270,334,474,153,442,823,137,349,814,269,430,074,
822,851,334,123,870,262,404,579,942,012,465,259,730,440,603,857,878,344,982,
251,901,311,625,422,734,711,859,247,051,344,250,694,706,296,360,021,498,755,
007,912,308,203,109,421,138,334,231,794,849,302,871,831,569,167,853,415,588,
907,225,161,691,056,735,789,582,658,170,936,633,084,527,370,218,572,932,439,
570,469,078,492,028,814,095,138,378,521,889,205,193,608,511,474,563,848,970,
920,858,929,627,405,457,937,315,852,613,206,085,284,118,725,253,546,438,952,
500,239,351,718,496,799,387,648,968,489,091,737,934,883,432,558,392,529,692,
872,344,335,704,625,416,305,871,861,274,385,768,679,987,069,704,292,752,407,
382,519,481,231,961,087,200,210,973,145,476,158,224,780,393,894,252,053,668,
769,295,189,285,621,772,410,584,972,753,092,085,768,548,118,159,839,733,931,
162,112,692,494,797,554,923,777,543,575,296,243,170,792,343,417,365,670,061,
186,007,924,073,477,342,693,676,620,843,192,491,282,883,005,993,238,466,014,
533,450,768,061,908,088,734,406,508,362,824,030,977,885,366,652,587,223,619,
951,665,763,428,257,284,069,740,111,766,961,003,206,171,654,951,554,903,292,
395,182,280,752,667,510,210,197,726,013,902,013,465,838,803,857,904,080,724,
300,162,148,316,149,255,708,979,053,177,828,068,920,328,558,267,887,929,848,
903,230,622,027,744,621,672,455,327,538,183,585,177,740,277,282,371,440,149,
746,909,169,328,913,434,957,363,534,808,172,699,896,214,098,801,133,723,370,
762,957,936,393,372,291,855,814,989,448,852,831,472,643,960,113,343,129,082,
462,745,513,287,461,085,205,435,876,159,978,040,987,902,933,864,410,992,686,
906,372,840,149,693,323,890,821,230,334,079,351,502,418,982,544,727,835,074,
746,628,754,931,036,345,983,218,400,441,962,286,549,412,069,653,358,176,961,
547,024,238,012,764,408,888,293,716,722,431,346,347,489,581,427,840,785,729,
391,498,667,290,960,772,117,052,685,510,114,307,956,798,871,806,910,122,541,
312,090,471,309,558,498,752,440,621,086,050,686,659,292,176,212,989,010,753,
176,224,747,698,027,419,126,434,531,967,848,443,067,604,309,365,601,597,186,
665,086,655,888,172,358,126,340,666,652,845,284,610,994,002,556,689,489,982,
826,716,888,506,413,968,748,747,601,199,678,005,884,818,415,741,232,680,727,
694,582,022,978,435,129,021,159,972,728,015,037,179,953,019,658,918,778,509,
038,274,605,971,987,455,745,335,093,423,745,282,070,217,304,171,946,966,191,
630,196,261,404,681,320,071,721,774,087,582,593,105,980,579,229,495,413,026,
899,358,522,754,586,658,201,096,430,706,470,155,711,714,159,492,741,810,079,
268,944,724,808,301,934,850,012,560,146,378,707,552,988,174,687,045,125,329,
007,434,811,734,842,247,980,552,361,518,420,849,509,888,521,291,155,656,997,
201,678,926,225,498,917,105,879,857,906,958,591,341,375,369,841,533,830,812,
324,697,145,818,234,409,105,270,180,562,122,171,369,685,144,257,377,350,638,
241,738,098,787,885,443,586,920,617,282,737,053,368,359,784,259,645,169,836,
714,384,624,993,802,065,863,829,846,102,893,777,977,649,935,879,102,677,453,
715,763,941,068,794,186,030,764,342,737,490,177,915,235,146,867,121,315,482,
621,465,211,847,152,541,096,712,670,503,625,987,316,210,359,867,222,118,246,
096,579,221,822,900,899,662,553,186,396,316,929,729,622,978,104,929,200,121,
527,939,933,164,164,097,010,521,071,109,486,089,550,855,177,716,892,512,214,
772,058,007,018,728,898,821,287,520,698,849,193,696,002,380,757,565,078,621,
502,161,971,748,968,538,356,142,810,379,558,415,004,739,723,241,446,517,040,
890,021,531,310,473,736,088,276,095,525,805,699,867,627,504,246,096,425,820,
208,228,729,638,649,634,283,906,571,342,403,320,550,053,005,357,203,539,910,
125,016,407,983,785,764,850,932,861,678,460,172,371,974,124,596,076,753,204,
404,065,748,772,879,006,080,739,640,729,805,428,461,302,723,724,502,332,050,
990,923,389,253,152,442,592,063,978,478,775,870,860,206,608,900,631,166,535,
583,957,155,970,789,578,106,662,259,777,899,356,594,414,722,502,671,934,958,
090,134,123,352,951,773,882,432,075,823,440,296,202,569,263,471,598,827,609,
871,231,639,835,947,233,311,905,928,696,815,145,691,268,390,264,506,117,363,
602,545,053,050,503,316,771,276,144,758,938,385,614,309,800,424,650,629,141,
076,807,230,040,885,212,694,319,930,833,066,492,685,637,098,488,656,895,248,
791,546,249,277,503,354,204,608,536,365,892,975,929,008,290,064,709,895,479,
963,098,060,311,622,645,733,350,764,607,984,271,847,993,918,087,832,389,381,
960,954,794,526,036,076,280,965,765,633,080,177,394,487,345,656,393,465,130,
880,913,721,838,906,300,164,241,113,200,905,104,601,632,680,156,058,740,771,
593,083,837,475,640,140,466,860,847,839,694,187,173,241,898,307,252,241,388,
102,888,920,540,975,720,694,657,495,217,080,715,702,459,813,695,342,886,383,
647,923,842,587,236,806,923,992,649,288,517,787,493,932,406,297,988,453,780,
724,972,419,036,707,957,013,948,275,033,949,366,936,678,820,217,050,819,032,
097,071,992,842,090,471,002,308,506,366,202,769,416,344,794,496,595,578,514,
981,430,353,601,381,248,552,106,078,588,067,678,903,199,279,247,925,161,687,
597,973,903,079,219,034,181,911,743,932,789,580,380,058,110,004,181,993,113,
276,467,501,765,897,885,177,652,658,851,350,847,579,815,046,159,582,307,201,
547,669,112,567,462,410,226,093,647,399,954,650,294,653,848,686,075,220,377,
044,526,053,877,669,100,676,194,480,784,244,078,838,362,517,740,492,632,445,
001,959,062,139,503,706,404,744,512,888,249,536,635,216,072,054,647,659,771,
648,392,124,109,934,400,235,686,167,144,690,038,045,897,855,491,643,364,828,
533,751,381,932,111,660,347,822,174,957,849,010,688,384,500,206,729,433,925,
310,257,885,343,473,789,188,379,702,535,355,953,910,911,262,431,088,109,859,
480,910,964,319,215,591,503,027,278,623,461,448,686,590,883,226,156,701,175,
724,272,063,120,783,463,394,736,939,625,551,761,356,634,579,366,841,769,626,
927,739,043,607,034,120,005,062,614,567,010,837,649,434,942,635,710,888,408,
257,091,568,521,038,768,703,015,356,727,210,217,754,206,060,901,942,449,040,
898,959,280,040,913,624,316,568,697,207,315,442,058,755,762,567,248,906,566,
040,305,269,018,320,696,609,699,789,980,842,312,061,389,520,728,976,013,195,
855,667,023,729,007,351,543,901,514,787,597,753,613,429,017,371,571,201,795,
497,239,814,055,468,327,401,391,999,351,936,865,883,520,917,671,507,515,158,
569,707,519,286,745,306,490,731,360,145,499,710,545,217,033,563,494,554,470,
450,489,529,881,091,062,195,924,598,435,263,445,936,883,834,498,976,678,826,
080,509,519,400,716,573,656,283,707,005,942,936,415,282,376,658,543,543,779,
707,009,585,504,224,912,321,018,321,927,501,596,229,298,938,485,935,517,442,
522,330,665,743,381,890,885,188,958,536,351,531,323,115,342,593,084,982,733,
964,391,244,037,494,924,118,919,727,216,055,645,440,272,751,579,834,780,277,
913,858,188,973,429,019,368,117,642,977,468,647,006,915,205,103,662,213,485,
185,261,798,709,166,459,229,785,831,691,329,100,665,999,609,411,857,721,196,
712,363,148,355,458,312,903,246,577,061,317,443,366,924,226,167,761,782,504,
165,394,745,607,126,224,498,943,774,692,572,721,557,879,535,909,335,484,279,
731,279,190,380,851,609,283,554,577,036,646,687,237,908,815,595,598,948,425,
401,739,017,638,479,439,230,276,390,093,063,349,823,546,113,562,195,329,903,
193,391,274,451,031,768,089,995,325,770,640,881,269,206,935,886,490,106,841,
039,285,879,282,941,352,548,402,163,918,903,692,428,037,492,844,032,334,305,
962,815,480,585,212,595,001,226,487,505,664,135,974,469,223,139,416,692,853,
455,939,954,956,869,450,439,285,991,463,782,573,367,597,818,639,953,400,273,
146,952,798,992,827,238,189,863,107,939,572,814,212,402,466,620,174,661,112,
554,625,907,324,020,198,048,059,772,308,773,134,034,299,131,616,281,651,535,
981,956,269,745,927,899,017,925,077,410,268,594,707,798,405,355,992,727,234,
302,852,921,051,184,271,142,006,965,608,631,739,465,522,426,865,568,551,264,
560,725,256,213,764,650,263,804,101,538,898,287,716,028,328,360,972,774,931,
206,035,653,746,816,424,002,100,543,666,777,239,102,998,408,573,415,784,104,
559,970,718,840,091,051,950,535,170,053,946,541,291,866,081,032,798,549,263,
603,159,361,113,573,344,447,346,833,241,756,113,153,024,639,509,700,249,253,
111,817,232,444,657,534,139,316,763,324,533,244,463,224,965,828,429,628,941,
659,104,785,684,276,160,422,244,196,908,626,213,452,520,360,545,290,780,533,
388,349,901,774,739,767,043,317,959,054,266,356,104,186,648,495,663,551,754,
313,573,653,229,801,214,775,379,328,509,856,500,777,057,121,674,481,680,847,
177,530,982,980,547,310,462,614,349,100,063,304,039,976,800,799,398,020,261,
799,955,058,044,730,898,129,675,872,451,448,536,778,541,695,392,100,582,051,
492,010,876,200,448,575,760,354,085,497,518,887,098,800,410,766,768,579,912,
254,926,527,560,943,618,398,756,722,810,201,688,769,287,274,521,998,190,233,
583,325,178,752,368,183,542,510,215,927,269,263,881,240,698,923,865,154,175,
932,239,487,959,615,890,331,164,296,640,808,836,536,719,857,818,409,651,712,
760,245,503,486,668,560,040,430,934,641,013,788,031,942,134,438,410,914,107,
307,217,145,650,400,036,797,719,892,088,446,834,892,078,972,915,629,972,064,
617,079,763,505,839,052,471,294,978,286,162,363,782,399,893,565,469,839,514,
070,116,078,016,418,253,463,413,982,994,665,261,521,439,755,698,234,052,668,
299,517,337,440,927,634,877,797,317,366,342,903,322,679,968,019,503,251,932,
460,726,530,251,966,285,104,258,176,840,993,391,078,863,583,153,505,889,991,
284,103,785,665,863,272,230,513,521,476,723,690,124,330,007,591,436,861,549,
694,576,460,343,099,936,585,676,589,610,691,124,491,562,952,467,969,727,213,
749,922,498,594,608,158,713,485,082,017,680,753,291,482,218,297,902,454,968,
349,986,649,357,654,510,423,520,791,773,732,358,007,088,251,648,530,524,201,
575,962,100,673,652,639,567,705,924,420,226,764,317,103,851,059,412,622,492,
766,282,556,032,611,500,348,830,416,500,848,963,912,583,759,573,484,389,233,
054,211,998,759,982,825,709,644,912,300,855,780,160,478,655,101,402,800,593,
581,589,830,493,872,756,364,383,570,280,638,724,808,849,218,866,885,263,628,
575,275,951,468,958,219,535,097,270,542,292,336,279,708,955,230,090,987,561,
157,103,682,669,590,745,974,967,354,977,238,372,951,615,548,184,972,824,960,
117,718,263,490,730,308,994,960,498,223,942,718,839,977,765,213,914,285,048,
431,085,030,121,008,459,367,196,823,633,883,609,901,268,923,864,857,746,425,
377,443,179,430,320,641,922,761,673,081,578,374,274,473,825,664,680,040,475,
909,515,816,570,093,945,792,213,904,932,893,999,324,156,010,515,320,216,021,
974,726,016,142,546,727,897,698,606,895,939,377,214,286,620,362,625,632,251,
146,517,205,634,653,798,934,830,360,198,570,010,574,863,013,896,974,138,664,
776,079,893,704,945,995,921,720,398,127,718,098,718,456,123,384,296,571,830,
565,211,781,541,728,811,694,322,415,949,832,286,286,131,153,221,348,992,679,
431,023,983,735,986,480,216,109,333,651,844,545,563,907,210,531,051,443,794,
105,963,960,298,168,446,966,899,940,121,589,884,438,918,385,882,304,098,522,
205,014,368,315,082,885,820,534,975,415,530,142,849,607,111,107,990,784,110,
471,437,262,222,080,203,581,430,407,270,710,117,746,274,519,331,165,400,984,
038,008,866,337,272,812,170,120,465,456,684,713,080,426,547,255,828,454,111,
154,672,351,560,824,729,637,748,336,583,846,142,629,103,738,969,971,367,576,
816,899,087,726,075,468,905,089,246,973,543,469,262,630,020,128,219,176,569,
749,859,766,971,565,886,695,229,044,841,158,016,870,918,985,384,020,215,392,
548,960,776,941,374,544,495,556,314,140,419,809,415,468,979,932,988,886,442,
867,196,785,259,600,644,183,665,412,929,321,485,729,563,171,519,589,072,354,
146,877,235,227,327,336,162,806,117,703,207,048,239,426,652,056,570,699,826,
565,628,592,390,489,234,415,383,424,677,319,371,888,610,632,868,048,369,794,
910,066,871,834,479,403,035,526,929,800,904,982,540,253,659,453,340,936,872,
301,717,712,017,749,740,648,592,730,570,537,759,040,320,313,606,289,069,217,
970,420,747,294,455,989,348,997,815,281,999,727,831,045,388,976,813,326,744,
780,560,998,044,635,249,904,062,602,882,424,256,718,028,538,370,703,311,030,
539,171,364,466,303,842,001,028,694,725,261,628,849,832,337,083,428,446,876,
224,475,993,520,598,585,667,680,205,630,527,572,598,957,673,384,437,058,232,
644,292,469,616,086,492,180,061,933,825,389,088,495,330,201,169,144,082,176,
653,718,877,261,693,200,684,803,035,487,303,037,695,554,268,098,475,026,496,
603,561,851,981,595,959,371,356,048,781,906,203,505,879,284,888,946,372,049,
792,948,274,534,252,982,174,212,159,288,211,318,395,181,003,535,003,867,043,
824,132,676,839,515,194,894,033,976,146,463,087,293,344,143,485,525,415,550,
507,349,482,056,485,225,891,517,812,605,502,063,997,834,837,172,913,645,230,
147,338,106,346,931,068,483,404,215,763,147,820,954,630,509,150,003,373,551,
291,683,487,421,824,026,705,392,841,799,503,001,029,434,061,609,332,983,339,
297,057,870,687,297,857,482,507,208,445,154,599,401,222,539,333,662,019,737,
160,704,471,354,794,369,908,662,824,219,205,286,714,543,361,472,021,139,143,
731,021,791,403,827,954,272,369,225,070,604,619,318,758,226,597,690,808,487,
342,661,436,546,750,289,039,570,431,405,243,573,562,125,892,111,025,659,758,
333,890,159,280,600,710,237,106,194,013,810,884,144,790,767,743,879,528,266,
536,744,529,886,846,561,677,471,770,685,825,316,276,279,889,447,380,350,001,
448,179,350,810,644,649,590,030,899,125,842,787,471,664,917,260,328,797,689,
885,237,401,480,232,042,751,925,893,583,625,970,331,669,430,690,944,224,589,
164,296,870,485,537,819,829,271,569,498,389,204,892,505,180,117,490,038,657,
832,421,603,133,810,723,278,442,508,102,923,772,721,068,125,129,476,113,659,
276,985,367,669,849,379,063,099,266,046,252,513,450,897,359,317,423,633,352,
796,735,321,742,963,889,715,188,163,809,523,510,204,893,465,134,745,800,997,
090,345,718,137,901,057,139,081,114,985,768,966,801,172,627,713,348,803,048,
771,302,678,020,737,788,185,303,729,329,461,921,383,224,074,249,091,757,883,
287,466,510,101,289,554,696,233,709,005,737,457,478,211,025,641,523,528,932,
736,339,792,169,058,753,078,195,411,107,982,497,366,332,566,244,010,204,981,
060,322,937,177,808,584,099,559,999,131,620,078,119,821,672,818,929,803,900,
604,971,144,079,254,845,646,517,912,269,890,223,007,071,545,895,719,786,933,
310,774,140,067,466,700,231,581,786,114,772,452,110,734,177,705,927,429,214,
767,668,672,787,146,605,555,289,994,324,268,268,176,801,952,950,006,533,342,
705,890,443,652,272,321,442,296,725,126,232,854,962,397,274,939,837,719,705,
302,803,078,784,104,010,095,419,032,693,044,949,997,829,782,849,078,799,263,
184,295,343,129,939,241,886,973,677,477,981,021,177,017,837,342,486,368,066,
357,989,396,043,788,388,553,117,987,163,996,942,589,701,988,469,831,498,894,
283,337,998,950,233,508,895,253,729,470,568,460,879,899,755,301,972,842,888,
503,344,497,011,282,701,754,554,981,269,779,467,992,975,098,083,790,998,924,
407,536,133,764,098,469,507,751,396,031,997,162,555,197,639,303,635,400,743,
995,605,009,182,381,944,010,043,138,647,295,997,476,284,224,081,498,452,799,
960,483,671,841,766,941,059,381,886,511,970,354,118,960,456,451,998,389,369,
674,018,246,358,516,851,491,128,284,488,686,469,196,386,493,065,085,923,964,
477,907,776,351,329,255,372,673,614,891,948,220,791,545,954,103,841,810,290,
690,245,060,175,261,891,144,459,381,438,624,914,293,566,833,226,826,379,445,
834,970,895,582,752,826,597,697,577,983,909,444,898,430,105,112,050,866,615,
646,929,450,971,210,698,569,666,921,393,041,180,238,247,171,748,289,064,452,
867,283,915,016,791,717,541,727,409,925,644,856,282,575,166,103,214,636,445,
498,358,725,473,491,337,769,907,391,954,090,159,110,867,362,699,826,966,354,
760,426,647,652,646,422,808,398,567,146,567,839,692,019,196,529,353,242,149,
818,635,837,145,688,188,225,893,577,222,864,304,896,318,917,968,349,453,290,
389,965,163,018,858,248,945,618,614,841,615,794,152,118,776,082,990,680,518,
252,350,021,283,300,180,478,418,546,821,591,781,114,117,772,284,183,305,163,
218,528,414,199,917,298,732,148,417,564,421,637,347,251,100,843,575,919,448,
115,740,498,375,570,348,568,972,984,428,398,003,376,858,923,416,120,775,000,
673,916,820,438,091,601,240,206,337,858,260,158,470,234,421,290,037,994,941,
414,191,076,906,466,740,107,845,970,939,861,687,572,195,482,475,194,239,121,
578,203,052,218,642,993,189,145,622,112,254,081,658,944,597,923,573,612,235,
310,721,748,315,641,572,785,021,773,427,775,359,971,746,562,138,782,039,177,
782,369,791,898,857,256,005,262,398,214,697,101,229,125,994,661,763,119,052,
913,011,958,206,441,227,108,701,102,261,217,161,164,047,740,131,432,540,594,
987,352,892,456,069,542,283,658,999,643,766,890,752,023,706,096,747,757,686,
579,789,658,488,411,033,033,862,707,473,939,996,791,579,429,113,876,115,466,
028,234,634,369,754,583,800,462,673,522,549,945,801,842,241,111,400,426,795,
084,857,058,307,200,809,241,870,997,314,102,765,055,489,205,021,979,628,067,
665,091,288,156,238,328,079,385,761,521,152,757,123,875,556,051,230,426,990,
631,887,529,078,682,976,607,282,691,177,901,485,281,023,289,810,682,087,730,
289,216,645,760,397,493,532,809,015,177,712,972,090,244,161,494,216,445,251,
161,596,607,336,119,885,302,182,876,700,581,966,314,524,080,513,150,006,099,
611,531,096,243,038,623,135,914,486,708,489,538,430,277,153,703,609,738,777,
211,747,488,704,382,102,581,051,160,835,308,740,460,368,648,028,537,507,307,
143,759,665,703,351,865,356,106,364,741,524,498,405,257,055,947,711,057,559,
400,884,882,460,701,942,922,461,187,368,388,256,958,233,818,480,628,115,649,
328,144,124,013,436,535,468,496,303,629,758,596,144,608,040,346,527,490,064,
598,309,915,878,716,875,534,089,598,418,691,448,228,900,762,611,263,169,795,
423,039,541,818,417,429,641,570,511,972,640,465,253,476,857,927,662,935,783,
506,158,720,334,110,773,585,740,255,310,263,048,238,368,250,786,031,859,281,
517,287,711,099,901,230,582,651,506,486,772,642,076,475,388,663,113,465,602,
066,225,060,263,982,243,444,243,291,027,602,699,816,544,925,006,369,014,404,
080,541,675,912,081,687,554,999,248,938,080,382,871,187,294,640,928,624,784,
781,516,401,553,167,969,720,379,462,815,984,760,024,423,738,979,178,627,419,
678,626,360,403,904,628,761,983,871,898,037,562,273,621,919,958,557,539,745,
869,700,143,120,265,650,206,724,535,219,117,133,539,248,777,587,320,760,354,
606,052,659,158,158,960,594,197,953,662,060,763,182,130,552,967,999,184,005,
352,213,120,268,919,945,171,392,205,341,632,814,296,370,512,852,617,648,128,
169,528,196,017,222,753,198,265,781,918,492,188,998,177,911,176,494,196,169,
554,487,615,747,059,978,243,955,714,556,473,614,058,322,674,593,351,093,628,
558,565,116,285,438,612,799,405,786,418,424,474,752,650,341,526,942,391,988,
747,140,549,262,679,524,783,462,663,024,198,382,866,355,268,811,094,023,637,
190,632,363,131,216,220,395,144,256,528,745,743,183,252,531,303,270,380,306,
117,072,150,442,047,029,309,330,939,097,901,507,963,321,068,560,158,729,895,
720,591,673,037,203,846,541,984,401,996,148,275,889,210,271,947,156,833,397,
398,134,029,392,988,409,501,407,797,347,776,048,523,661,983,978,092,980,085,
519,617,285,328,714,042,307,413,122,563,959,551,348,557,300,100,589,351,855,
935,376,680,351,540,706,855,654,975,556,213,447,182,230,619,666,047,693,759,
761,084,788,865,843,541,271,783,544,447,155,114,677,265,083,773,577,978,153,
154,386,850,740,654,242,620,896,069,055,538,461,208,167,962,806,216,241,458,
522,327,530,072,610,070,416,893,071,986,772,240,247,984,146,131,284,935,812,
819,162,830,862,755,962,361,731,271,311,805,858,439,386,543,459,060,276,551,
999,711,788,377,076,899,620,938,790,650,713,596,195,328,135,417,493,925,409,
263,524,786,349,214,738,318,703,714,547,756,298,930,228,173,966,327,328,557,
886,520,450,061,899,124,611,459,191,620,248,236,872,383,312,478,057,012,507,
870,006,158,514,593,908,576,480,677,878,264,745,320,152,410,228,833,795,653,
859,180,883,589,812,669,067,648,024,916,026,537,189,324,254,804,246,040,526,
746,888,553,619,269,683,215,121,637,301,484,936,728,537,884,652,991,816,532,
800,079,199,150,960,776,174,333,341,375,508,208,110,890,627,310,773,618,596,
031,275,125,449,106,641,925,538,340,947,179,976,376,637,328,807,249,496,505,
272,633,920,374,187,182,762,082,848,131,586,722,994,839,913,820,844,675,794,
431,514,216,029,946,290,062,979,007,118,912,142,357,854,880,864,641,364,315,
946,123,105,684,258,411,294,161,923,380,695,537,912,460,958,319,387,924,809,
572,701,311,191,143,650,211,813,443,903,321,507,696,327,527,858,635,502,422,
200,746,927,359,668,069,236,685,111,195,646,257,135,271,646,167,834,295,791,
281,016,880,644,379,260,723,725,283,229,823,244,769,868,471,367,614,275,113,
485,078,388,353,103,467,220,286,683,168,583,827,723,401,197,244,488,655,671,
732,517,545,092,800,244,679,214,275,140,931,752,050,947,696,415,491,698,090,
340,089,426,748,982,678,087,869,705,670,998,576,790,072,473,437,378,186,011,
292,974,600,353,311,838,626,056,907,599,871,837,724,157,372,216,237,432,948,
335,412,996,955,671,543,822,293,806,617,023,427,497,586,069,849,736,126,942,
309,029,639,475,412,730,819,141,424,369,888,343,577,130,261,616,255,222,773,
063,690,393,472,988,669,649,727,176,398,966,009,079,446,977,583,161,738,868,
579,551,939,443,047,555,769,838,439,235,408,960,531,889,497,893,573,914,777,
930,960,169,764,781,862,781,168,221,125,407,319,914,272,187,194,359,413,520,
739,078,368,292,332,515,565,420,495,873,569,013,544,619,535,053,964,527,424,
584,327,848,185,188,602,756,069,749,483,718,191,315,880,301,352,592,255,506,
534,676,324,569,561,184,814,578,092,626,019,509,015,842,678,441,866,626,134,
550,579,739,152,980,895,951,047,824,097,129,362,133,660,752,134,145,877,078,
697,330,938,180,783,555,858,457,654,244,966,590,157,069,028,486,889,708,622,
879,831,286,651,481,627,184,831,482,781,697,321,843,802,427,451,518,338,057,
556,985,501,576,042,279,826,190,750,401,679,300,339,259,523,190,243,380,431,
979,519,542,360,849,761,187,563,304,173,647,555,806,302,705,325,789,838,667,
565,658,548,776,496,349,879,573,919,601,267,273,672,200,029,534,619,421,671,
983,027,019,076,220,099,322,287,032,143,066,979,200,171,603,627,735,587,367,
477,500,428,785,578,418,023,174,388,699,282,971,988,649,611,604,500,931,472,
070,595,437,209,726,545,821,710,969,462,494,491,492,996,603,833,255,773,034,
602,854,704,882,132,317,040,252,479,571,015,638,686,778,734,452,804,499,449,
995,938,044,338,018,441,554,438,196,161,627,653,357,696,857,456,562,288,775,
549,837,052,399,047,545,350,960,232,651,209,007,496,044,701,568,932,343,319,
654,533,420,539,679,604,274,088,711,940,706,272,225,891,539,946,185,403,776,
624,208,759,944,731,467,700,130,095,678,088,372,489,699,291,717,702,706,477,
457,684,325,906,147,404,515,756,544,423,622,580,006,923,265,950,186,096,903,
897,795,970,981,141,179,180,087,508,844,991,640,005,306,010,828,476,208,898,
961,059,759,027,719,075,906,794,023,501,535,545,809,508,053,521,617,060,890,
532,442,842,123,322,240,856,698,745,648,447,705,967,077,107,427,723,432,985,
076,433,728,237,760,779,057,700,180,383,459,023,526,771,346,003,920,835,810,
319,093,489,014,163,012,536,840,923,116,069,880,065,524,669,994,540,590,884,
209,627,253,838,016,783,496,498,954,596,885,477,196,314,558,279,398,617,564,
606,212,345,966,274,479,478,855,633,860,670,067,338,657,401,172,820,851,305,
642,336,801,610,985,843,433,624,027,292,159,052,725,739,353,359,290,014,854,
683,802,658,333,261,872,333,169,138,465,057,299,561,561,424,873,611,850,493,
204,945,032,002,489,660,143,393,929,096,730,643,701,539,525,324,437,271,379,
605,673,143,295,285,840,042,824,605,324,336,848,796,521,948,508,447,614,570,
380,391,758,756,532,313,503,470,583,005,129,267,104,738,474,220,488,824,874,
191,869,860,503,770,949,106,395,508,500,382,009,769,227,606,275,258,682,499,
832,449,749,198,159,816,552,312,861,770,516,987,424,686,416,498,439,735,685,
616,656,204,579,344,351,811,370,648,141,706,552,187,945,265,729,782,621,713,
618,485,472,411,845,396,482,663,562,878,359,185,963,226,958,894,945,693,156,
135,606,101,562,399,556,968,813,876,746,770,704,408,511,286,553,470,964,314,
032,245,292,468,916,699,226,316,948,868,231,115,781,322,945,521,726,095,139,
557,920,459,117,648,098,813,047,855,606,669,558,974,954,404,093,348,710,112,
398,802,622,796,272,766,785,623,948,756,599,912,194,667,350,239,027,510,451,
981,700,492,860,429,981,988,912,537,946,004,891,797,202,191,516,376,987,502,
981,093,864,876,481,723,463,734,561,335,797,664,102,438,171,875,477,448,907,
082,767,087,180,147,578,828,490,223,413,854,370,166,415,013,477,306,754,587,
971,985,272,182,091,033,131,182,417,099,303,258,493,435,420,561,709,241,497,
285,191,896,813,754,698,473,639,966,374,676,021,058,464,122,877,281,961,251,
221,835,140,293,481,721,918,236,185,643,288,221,087,080,262,574,606,723,869,
937,083,502,607,254,584,578,596,475,105,919,357,619,727,038,572,795,862,222,
661,436,485,826,946,041,307,345,824,101,281,200,097,971,283,197,440,353,193,
455,681,612,673,344,629,970,450,099,292,416,134,216,571,577,674,205,051,170,
585,258,589,296,783,065,781,604,621,314,986,549,548,544,984,646,529,338,661,
978,044,699,042,932,570,541,318,025,653,152,709,847,631,063,788,109,121,648,
045,650,982,334,562,340,921,794,486,833,911,311,082,924,872,457,957,810,036,
466,743,174,710,552,274,032,155,984,472,375,757,062,257,608,299,227,395,883,
082,280,071,477,764,611,495,108,053,380,393,171,885,811,843,866,895,901,804,
960,206,536,541,272,269,173,566,988,479,549,715,373,237,808,010,062,640,121,
981,682,723,613,021,852,474,884,121,504,463,845,238,493,635,897,460,585,717,
743,595,564,088,401,227,161,683,251,368,709,741,536,890,110,637,761,094,857,
657,779,386,485,063,263,507,671,353,401,148,836,893,016,848,970,196,265,222,
633,028,104,323,609,750,169,060,177,680,875,325,241,449,017,566,336,519,612,
881,353,131,122,434,473,201,560,451,732,559,861,421,249,447,641,893,849,217,
049,771,904,460,072,545,386,460,356,078,070,174,794,404,875,849,540,667,645,
503,914,996,174,552,248,995,767,719,929,731,147,390,506,963,589,856,600,036,
173,515,304,625,952,925,944,903,291,981,643,353,801,464,123,011,320,646,329,
984,813,121,563,111,916,192,468,872,558,093,271,959,260,552,713,594,836,780,
704,078,018,992,807,239,500,663,715,382,116,741,796,517,686,690,387,008,621,
121,745,635,570,344,147,587,908,593,888,345,545,645,993,267,019,556,233,897,
472,953,078,602,843,837,140,039,299,081,046,834,023,229,916,766,724,719,598,
355,965,294,856,576,029,738,275,403,552,928,232,229,847,946,393,918,809,138,
674,753,279,866,245,535,374,747,301,084,420,654,858,100,705,427,175,490,091,
204,943,705,280,583,079,539,758,375,242,855,799,154,291,446,836,949,418,323,
108,621,446,302,470,426,811,280,634,944,350,456,175,008,681,151,712,897,520,
558,045,837,060,526,870,012,978,060,493,441,166,019,811,798,971,006,035,891,
616,849,612,329,528,061,130,865,818,099,053,203,876,146,937,848,321,567,159,
214,651,063,455,242,331,465,195,288,429,303,658,658,615,189,038,531,560,416,
681,983,340,480,897,738,841,860,463,876,892,080,530,811,001,113,166,549,356,
974,742,697,913,737,062,086,677,143,376,605,209,812,741,376,649,773,415,980,
109,858,188,750,221,673,037,391,025,311,433,429,416,981,608,405,577,565,566,
118,801,457,660,065,162,809,039,555,585,943,690,929,507,256,856,112,827,973,
218,137,296,779,650,436,647,235,890,864,547,777,507,727,692,452,299,156,747,
055,506,341,870,830,945,980,635,312,724,732,241,371,810,910,913,170,844,923,
286,546,292,858,237,025,497,586,115,005,284,226,335,965,453,550,710,747,839,
086,728,498,330,127,874,666,865,639,404,196,988,604,024,070,789,739,437,812,
253,348,395,733,341,724,246,589,327,499,322,320,292,256,200,361,563,898,224,
918,762,380,344,096,013,153,407,486,844,365,506,390,653,389,271,247,634,526,
979,165,919,405,613,447,183,034,415,360,771,414,408,624,728,117,913,699,802,
634,013,565,938,906,116,756,367,362,653,458,997,983,969,504,774,313,113,333,
420,170,042,597,771,936,462,847,822,000,259,615,030,880,196,227,334,267,275,
469,363,686,426,224,035,550,664,778,708,801,715,339,308,102,642,450,666,276,
701,475,848,110,310,159,215,383,444,367,682,641,994,334,745,722,404,214,587,
749,903,546,065,147,553,296,627,740,484,659,218,906,267,118,868,048,090,720,
871,464,835,974,621,441,909,518,750,942,199,245,852,699,673,485,126,818,315,
691,571,901,095,123,197,621,476,845,785,248,349,499,505,094,023,663,481,638,
038,941,987,764,452,843,601,542,034,300,882,830,326,986,096,630,882,342,881,
499,454,553,756,686,109,252,311,281,137,928,190,717,531,004,260,206,639,580,
083,378,574,073,860,504,750,549,991,212,477,528,700,542,017,497,280,683,949,
683,642,584,886,751,612,061,429,872,565,208,081,399,278,653,953,736,580,501,
536,424,293,236,078,414,228,072,816,502,620,612,912,440,482,949,599,676,708,
120,337,058,123,171,275,288,244,545,401,916,204,707,242,040,011,498,148,690,
057,999,499,252,957,947,107,072,715,409,065,623,715,571,783,346,513,272,689,
653,563,892,348,734,378,519,808,003,282,777,341,179,090,638,367,435,845,794,
416,588,963,544,450,540,629,292,261,077,850,684,895,515,355,348,351,264,502,
677,231,219,724,332,055,831,895,681,744,389,995,822,232,989,561,724,887,052,
373,078,785,601,852,496,258,425,290,968,160,948,005,303,399,353,987,766,891,
667,603,268,239,415,097,751,621,946,795,593,924,940,374,642,600,502,281,039,
872,515,179,397,305,487,627,762,692,548,676,367,073,331,258,840,095,639,871,
841,199,235,066,768,449,243,646,466,991,702,377,634,440,325,401,740,441,718,
538,040,917,042,361,335,907,886,147,030,841,492,798,350,347,947,375,719,821,
396,321,290,019,929,453,439,567,039,230,914,855,183,521,624,331,467,494,505,
823,970,352,847,378,484,390,796,457,740,864,647,420,034,893,093,151,324,105,
495,576,854,349,477,249,859,032,090,161,361,816,086,806,537,578,693,461,856,
177,538,368,834,703,861,685,954,321,846,409,010,547,775,692,084,516,603,754,
824,334,073,099,208,838,591,660,320,502,343,812,524,310,453,585,878,690,848,
460,783,675,779,151,282,436,517,209,837,697,146,018,531,877,643,377,897,349,
411,225,570,330,485,408,537,306,065,618,366,810,594,398,569,404,817,056,505,
737,856,863,784,279,633,658,888,759,693,874,165,192,481,886,648,680,570,564,
283,778,809,973,010,249,597,892,269,123,375,974,735,367,980,196,896,677,995,
209,181,477,259,506,635,859,308,647,607,685,864,880,383,142,303,934,109,016,
283,503,589,340,141,089,549,316,758,285,913,548,785,307,421,254,878,856,107,
515,417,835,428,927,792,158,957,646,929,110,909,457,274,726,194,644,411,336,
307,007,768,091,324,728,591,129,785,052,926,752,936,003,454,889,712,553,863,
170,335,847,986,116,780,050,177,790,969,221,277,007,086,792,692,972,902,334,
269,388,960,320,839,564,308,653,074,233,598,247,901,265,728,566,104,465,144,
386,430,640,790,126,698,250,129,862,153,221,740,020,812,686,659,369,646,613,
373,497,103,267,554,430,808,117,381,433,856,247,978,378,378,044,481,642,824,
104,299,263,656,658,088,135,743,454,954,654,980,633,946,724,961,151,157,198,
725,320,422,981,702,915,127,407,804,319,564,588,094,467,657,797,833,441,678,
664,730,835,445,246,221,873,734,772,181,044,069,752,452,177,004,407,914,975,
790,392,356,664,784,227,859,170,471,854,124,683,087,291,910,011,655,957,383,
842,106,891,840,900,268,056,033,864,533,242,668,388,564,922,105,401,046,306,
054,175,386,909,376,436,418,243,630,025,985,561,498,277,861,756,243,809,785,
243,747,455,221,414,350,090,623,334,854,098,280,579,462,606,803,084,325,247,
718,450,999,233,469,078,837,484,802,687,733,175,447,315,521,675,912,860,603,
999,442,481,900,194,835,998,638,430,885,018,672,814,385,518,780,836,534,240,
517,256,402,768,515,923,439,101,201,265,913,415,195,829,211,191,475,294,532,
216,628,995,464,051,157,697,270,301,254,458,091,002,805,165,924,888,699,486,
257,309,851,143,118,040,526,346,779,811,450,652,483,270,928,245,383,751,520,
890,894,315,901,247,492,077,557,766,198,856,411,402,256,986,862,744,365,550,
798,301,291,282,181,882,939,003,262,648,806,640,770,514,047,803,457,805,668,
887,886,596,615,689,921,859,351,142,020,113,024,369,980,088,215,153,409,775,
313,582,179,606,652,675,064,726,166,182,701,466,404,456,038,143,908,990,359,
950,212,027,825,899,800,942,457,806,823,769,258,946,074,930,190,611,607,091,
063,114,549,520,815,798,319,544,645,289,901,071,713,120,007,052,038,673,977,
728,898,713,375,966,721,521,691,778,854,911,831,746,005,150,559,736,061,306,
328,549,832,733,935,903,924,612,265,755,396,849,559,185,766,863,566,235,946,
850,662,027,921,199,291,438,231,204,155,497,649,299,953,016,525,392,938,585,
788,194,732,664,054,889,918,777,218,260,749,417,506,046,404,272,976,945,386,
634,772,666,660,390,768,825,188,519,707,948,303,523,689,849,578,859,438,402,
186,783,230,295,147,785,119,434,702,785,980,308,155,926,673,117,367,045,648,
295,535,585,296,664,966,452,021,876,715,979,800,384,632,393,395,419,612,423,
954,320,194,407,639,032,913,158,530,201,771,393,394,852,931,973,652,403,623,
189,880,043,990,625,776,180,434,385,639,548,351,490,265,305,682,482,299,349,
699,791,672,350,561,240,957,200,685,351,358,920,013,844,641,702,735,552,395,
366,935,258,184,185,010,020,657,240,683,902,284,158,727,946,413,714,934,581,
912,989,809,912,636,027,748,357,552,842,964,695,105,392,278,909,914,185,255,
731,415,259,628,228,390,370,983,146,596,058,447,332,802,819,763,155,951,042,
225,044,178,932,011,506,566,016,474,320,633,733,317,152,882,393,260,528,975,
587,121,607,443,278,998,596,118,326,650,562,095,220,789,231,792,307,937,370,
845,046,237,808,470,944,575,868,360,332,162,943,820,769,735,881,494,434,284,
028,326,787,035,914,958,833,851,194,177,339,305,731,253,053,708,982,727,552,
889,840,424,250,351,982,357,254,093,861,838,918,306,489,404,220,051,605,281,
422,144,830,898,189,563,907,175,774,646,614,526,083,299,160,159,650,301,517,
757,252,199,427,891,070,082,340,919,704,138,240,551,172,450,359,925,828,278,
815,230,871,068,762,628,735,203,351,479,360,686,327,499,626,088,571,028,315,
577,920,163,237,889,393,172,334,294,160,201,151,866,262,294,055,027,285,315,
452,519,307,427,188,385,070,591,641,815,301,766,021,560,149,747,674,142,205,
698,541,996,547,688,411,877,009,370,145,060,661,750,162,754,208,796,190,339,
480,035,443,493,311,630,338,013,410,531,784,395,797,380,481,135,906,910,667,
678,280,585,123,483,638,282,501,998,969,452,337,265,952,462,082,130,227,249,
299,126,723,788,449,500,635,819,703,981,254,525,314,047,489,313,370,218,784,
267,733,009,844,325,377,431,079,693,257,414,895,395,983,458,865,273,233,469,
843,026,556,276,542,169,582,799,376,833,399,262,585,759,726,433,658,346,304,
506,113,863,996,232,342,747,470,939,751,105,575,733,738,075,120,774,216,510,
852,865,760,447,162,116,407,669,496,768,013,503,761,674,609,550,403,741,966,
180,289,200,517,002,472,720,524,398,956,827,299,601,196,686,055,989,266,494,
072,949,675,231,085,187,540,612,217,264,683,829,489,373,195,559,091,754,890,
460,377,454,120,005,917,243,105,649,113,942,678,294,226,820,831,944,243,325,
918,951,238,024,137,770,438,679,353,361,380,124,997,862,946,980,552,551,242,
338,227,359,848,915,290,887,082,304,198,788,745,645,396,777,110,118,244,079,
915,475,172,565,347,174,488,492,263,432,242,766,515,227,138,725,936,919,912,
129,728,675,246,485,057,832,788,534,573,555,600,739,579,464,879,111,545,750,
745,442,980,708,683,652,454,050,986,583,013,135,241,373,528,097,025,125,346,
950,476,757,471,290,692,984,300,781,081,037,376,631,001,405,205,605,223,693,
738,127,193,610,486,746,446,542,146,904,002,969,167,653,176,282,739,519,175,
537,323,308,849,271,252,981,446,902,726,202,399,393,842,663,022,870,900,536,
548,532,755,291,888,247,105,533,365,273,479,122,106,443,177,817,718,760,969,
782,243,789,898,632,609,983,675,026,752,450,566,118,117,523,521,173,606,710,
570,947,393,846,508,463,925,071,009,767,421,267,179,299,737,418,297,001,133,
405,756,292,594,409,223,191,081,523,645,561,058,364,452,957,220,739,971,807,
803,350,630,626,399,831,316,885,150,386,246,457,240,392,107,324,520,693,645,
610,499,522,361,295,306,439,708,772,238,242,211,536,542,010,757,050,862,370,
752,893,750,988,566,178,782,460,092,636,808,731,342,704,078,321,566,965,958,
593,708,619,122,591,858,312,217,667,884,477,182,945,404,487,920,459,291,862,
322,792,190,282,810,634,720,574,648,804,812,118,456,738,468,486,088,076,378,
229,565,133,492,838,469,385,436,218,486,350,164,366,012,779,445,416,997,516,
158,673,835,890,671,562,429,320,435,515,117,788,235,308,642,846,274,621,338,
697,324,741,097,714,863,800,812,967,804,330,334,243,234,819,119,944,961,827,
845,856,850,713,730,455,995,263,980,235,591,804,747,312,152,982,248,052,798,
457,049,931,456,312,502,547,153,200,122,102,111,670,419,413,623,931,443,949,
179,259,741,824,900,948,270,621,868,377,442,947,813,157,602,092,782,435,846,
069,685,884,916,940,298,427,012,989,544,013,099,089,361,731,407,035,170,696,
774,028,800,856,564,812,609,307,071,819,025,478,917,824,287,028,823,115,408,
631,288,688,792,203,225,732,436,861,587,957,869,145,051,199,652,205,270,167,
342,624,331,379,317,711,755,710,740,828,533,563,440,773,102,432,493,339,724,
022,629,451,325,107,808,796,421,971,960,646,175,926,824,642,969,727,178,428,
841,637,239,878,395,235,371,532,620,626,776,686,783,018,693,042,708,842,347,
558,983,443,083,636,515,520,171,156,117,110,380,676,746,462,075,736,326,337,
577,802,966,428,043,991,137,613,687,428,331,318,616,851,393,619,452,498,748,
703,583,977,443,705,044,847,171,408,779,682,851,744,563,246,735,011,834,131,
953,250,537,122,923,008,430,257,921,324,946,631,307,508,163,755,735,537,526,
769,878,030,114,006,601,330,573,259,157,977,682,230,055,048,092,212,802,829,
647,046,926,954,566,355,936,574,770,297,030,514,517,300,686,232,017,420,123,
010,924,835,697,537,899,110,419,988,792,017,464,472,596,984,628,880,528,899,
831,600,698,101,132,487,382,049,912,222,064,127,010,243,598,095,959,050,820,
601,958,938,343,719,394,454,149,429,985,549,427,612,548,210,062,815,327,123,
701,304,142,712,355,946,500,449,597,079,393,641,988,657,245,955,682,789,422,
298,436,096,626,997,940,019,251,290,796,292,489,043,344,245,229,797,227,220,
391,278,835,778,078,187,522,452,573,629,484,194,209,898,817,361,562,400,727,
558,355,974,193,766,868,984,862,034,602,224,251,159,487,798,218,027,586,854,
508,164,905,985,708,953,099,581,943,642,911,593,009,134,779,314,165,848,643,
564,070,337,582,422,807,835,851,452,612,890,937,177,935,281,907,574,439,241,
868,670,645,273,283,934,662,569,870,886,588,229,628,214,657,451,562,272,364,
017,027,788,525,177,771,119,510,823,083,261,250,489,201,199,698,517,142,558,
631,839,211,221,711,086,724,226,552,994,179,200,948,711,565,330,162,336,530,
376,650,798,247,397,922,677,684,831,829,723,617,777,466,107,726,904,472,588,
710,046,763,075,156,604,738,102,928,548,185,677,849,132,851,863,500,958,995,
081,966,836,956,262,316,047,319,572,278,039,514,814,421,805,742,539,398,436,
632,725,499,894,129,149,022,238,305,483,175,857,558,179,708,239,981,716,510,
171,996,452,749,636,986,763,846,256,651,300,884,441,421,666,118,199,943,287,
545,677,266,579,901,508,654,209,585,464,093,836,198,122,712,840,712,284,787,
116,691,112,729,892,794,588,571,799,580,316,370,041,665,633,054,814,851,984,
942,581,547,585,528,486,034,713,027,536,955,065,195,724,228,605,906,263,714,
622,430,128,112,185,772,810,248,303,678,225,516,286,419,390,354,411,048,974,
043,855,665,689,965,857,385,381,452,343,999,456,245,905,479,092,732,078,999,
560,542,378,756,252,273,120,403,701,064,408,684,641,777,238,059,542,992,149,
164,488,721,845,744,740,003,370,501,820,540,119,084,873,819,078,597,244,819,
459,310,094,481,949,078,468,420,919,277,436,263,717,760,444,092,357,717,879,
540,652,888,614,521,901,319,722,610,505,439,196,112,045,197,127,630,385,141,
806,956,413,198,550,659,572,103,179,241,512,186,867,795,889,619,183,578,076,
636,943,745,346,945,577,746,778,536,991,551,327,430,117,008,179,206,041,088,
901,513,857,740,597,372,187,939,062,370,643,846,487,741,268,461,849,237,027,
074,972,212,870,570,279,708,012,113,419,412,338,083,530,470,772,862,771,844,
700,852,380,508,699,411,439,332,201,648,458,000,045,663,836,268,034,598,312,
434,337,136,504,295,818,216,003,294,819,609,467,923,209,175,693,560,206,875,
657,995,795,198,688,803,460,263,035,981,798,505,797,839,456,214,945,265,602,
547,748,059,003,136,005,908,374,269,572,395,133,580,918,661,148,000,314,376,
959,866,784,100,265,352,318,792,995,411,761,234,764,596,559,009,501,743,726,
637,443,719,929,047,960,288,904,557,640,145,873,555,015,295,909,266,812,014,
829,787,216,049,871,710,902,887,791,636,002,774,139,483,574,660,597,378,825,
997,122,943,190,478,494,406,347,076,708,039,027,193,651,223,895,635,668,807,
299,727,838,454,003,449,894,968,149,772,022,304,582,165,393,661,418,536,444,
179,229,273,446,280,541,480,711,705,183,615,955,385,077,545,897,387,118,872,
745,918,793,421,289,521,538,385,176,301,517,117,029,999,068,802,573,156,137,
413,222,518,148,697,594,028,654,856,517,654,282,498,324,629,661,807,173,342,
025,754,827,153,025,308,933,921,838,509,361,614,184,703,430,406,520,450,589,
491,275,576,054,795,015,836,565,479,060,905,309,226,336,101,978,387,058,056,
573,405,047,534,950,053,959,233,089,743,728,756,479,182,018,765,725,071,797,
723,547,874,919,349,659,486,151,735,091,953,489,989,222,591,418,739,469,328,
336,069,338,842,181,178,652,948,483,485,642,583,503,272,825,041,610,541,240,
842,794,116,463,929,927,709,899,883,351,537,945,683,090,198,444,983,474,755,
009,606,846,758,374,803,676,861,100,225,890,070,876,358,052,718,164,479,882,
973,086,575,673,615,286,495,164,130,875,224,879,231,731,746,085,126,181,483,
749,325,574,280,897,283,169,957,087,550,231,227,524,804,186,009,123,195,156,
054,551,585,212,034,133,878,279,371,604,730,611,146,126,421,633,955,379,933,
868,232,239,078,033,770,096,792,945,082,180,117,796,701,220,462,904,207,530,
178,534,318,852,437,259,935,925,234,350,503,995,562,658,131,262,199,145,137,
018,753,001,732,277,620,122,545,034,773,680,114,612,565,405,302,251,448,316,
203,311,681,608,698,652,380,101,106,191,479,555,551,124,192,921,161,063,806,
799,748,276,149,834,232,893,292,368,160,688,456,604,921,316,695,561,760,738,
647,833,747,024,748,500,819,576,080,519,466,598,440,066,682,165,548,879,133,
824,034,656,718,353,344,988,715,398,930,280,183,376,659,064,967,247,462,694,
628,505,920,272,597,683,473,705,489,352,180,568,083,862,808,230,964,694,424,
336,288,182,928,285,934,354,733,611,772,550,667,225,241,359,184,182,271,336,
388,433,772,539,336,859,492,605,966,071,957,191,491,566,627,554,556,876,709,
835,276,872,752,529,940,303,425,215,804,123,905,708,549,551,487,345,731,601,
132,211,150,786,764,886,242,658,877,601,179,443,919,894,828,650,701,457,827,
154,815,689,902,136,145,210,570,502,521,932,958,727,952,278,740,901,278,854,
565,061,524,985,993,904,090,530,708,978,025,966,178,733,848,465,859,719,846,
729,408,126,435,244,752,124,410,257,748,313,578,015,996,742,113,977,018,263,
376,055,424,178,137,603,166,950,208,416,300,790,575,602,421,377,859,703,922,
869,856,684,332,974,871,220,064,055,028,239,963,655,178,254,795,200,768,461,
363,093,444,358,288,042,167,566,394,512,939,991,573,526,606,539,756,410,481,
567,350,814,975,427,170,825,948,784,546,053,340,640,449,122,576,549,862,396,
386,067,836,267,211,864,868,026,167,311,653,652,683,276,597,934,471,002,959,
666,752,685,104,010,961,477,541,591,554,624,800,780,581,502,981,094,733,003,
074,585,892,093,907,465,194,212,177,985,956,498,643,734,661,659,269,139,637,
784,671,601,675,236,528,496,613,870,987,240,175,403,407,240,294,071,265,626,
341,207,763,406,053,776,778,125,334,685,216,135,721,001,280,805,893,695,233,
512,680,837,068,623,934,239,025,715,198,083,428,712,822,116,038,071,394,291,
742,549,636,642,284,129,895,271,263,757,493,892,339,038,573,640,456,475,225,
168,073,519,172,029,449,694,142,180,468,627,102,404,453,052,264,378,495,132,
981,941,330,880,578,335,006,910,420,190,075,965,094,727,758,676,496,833,313,
890,802,561,835,947,282,607,040,920,853,136,399,811,865,921,115,627,615,639,
508,303,692,327,115,566,816,442,525,961,470,330,606,100,888,107,398,360,384,
128,686,758,043,540,377,632,617,472,130,200,428,480,136,963,206,648,116,379,
626,557,415,638,153,873,580,510,561,902,107,413,309,250,338,479,282,572,901,
693,106,405,491,846,359,719,582,776,481,894,698,370,032,449,557,204,484,283,
448,869,510,857,373,352,698,021,882,433,627,986,693,303,819,014,070,859,701,
190,080,535,624,410,888,564,019,342,540,099,613,189,114,526,816,308,936,398,
958,868,995,889,763,349,007,169,935,461,929,258,646,583,864,248,434,334,309,
264,548,354,979,055,314,355,039,022,446,565,139,097,685,846,143,612,711,627,
775,838,648,985,725,523,893,422,073,779,916,036,364,730,938,542,126,736,339,
212,324,658,501,080,879,061,205,509,280,500,625,482,610,003,650,041,715,350,
089,509,542,246,321,858,107,307,277,535,739,860,083,049,864,518,985,474,768,
000,048,067,240,357,171,667,779,039,019,736,592,588,447,754,603,430,691,098,
754,906,489,427,519,672,493,919,529,115,475,901,171,135,140,662,617,199,131,
229,594,780,164,456,760,814,917,267,356,790,585,772,403,314,534,072,540,382,
292,408,536,949,764,740,897,961,918,870,219,853,085,481,836,184,527,456,954,
196,818,809,114,649,126,704,410,974,528,569,970,025,102,797,486,208,549,844,
934,643,962,266,557,011,007,837,997,517,444,044,703,587,768,289,626,322,828,
947,794,717,935,392,011,931,108,934,823,465,223,745,695,296,234,320,325,068,
903,018,250,282,857,761,770,287,041,402,799,420,015,693,678,619,944,770,629,
793,765,827,076,830,744,356,190,123,384,925,905,868,164,380,279,841,477,635,
945,402,445,875,630,051,477,870,820,731,680,150,896,780,298,499,297,467,839,
205,963,608,477,820,762,889,445,170,447,848,769,096,227,924,175,759,338,735,
880,389,462,101,621,560,416,847,690,636,480,976,164,951,467,345,576,447,597,
139,309,654,789,692,280,774,199,048,517,029,035,195,485,968,986,378,813,133,
913,978,597,804,450,747,249,824,778,015,291,718,310,032,610,342,146,533,616,
452,377,748,339,139,713,070,844,677,499,255,650,825,134,751,226,122,491,143,
004,840,253,633,763,278,927,970,682,743,791,818,187,355,413,367,062,358,355,
611,540,329,123,951,026,392,739,372,359,241,217,573,940,260,974,907,545,095,
420,987,375,288,888,844,786,439,285,595,159,756,826,912,116,024,626,309,410,
545,696,317,434,309,125,271,934,959,695,761,892,765,796,663,916,307,092,859,
472,425,657,875,329,183,650,891,261,424,741,122,497,170,077,701,758,890,768,
305,899,875,193,707,880,948,363,473,894,393,455,540,662,945,906,553,480,111,
709,782,338,021,685,840,798,523,618,391,539,167,036,350,648,949,794,450,608,
944,456,057,267,112,676,692,418,547,418,512,774,273,641,626,404,169,971,067,
688,841,583,593,466,331,666,021,152,053,650,978,358,155,123,305,689,261,815,
362,928,939,391,847,104,498,787,334,352,264,876,856,953,716,043,987,617,233,
190,066,552,859,287,257,634,893,083,895,001,346,984,100,002,115,178,133,788,
339,558,937,869,887,029,267,523,779,807,586,301,505,483,202,145,098,960,888,
546,296,870,494,978,969,843,912,246,038,650,301,553,688,714,436,289,098,072,
261,369,472,792,546,405,102,775,487,729,720,585,716,384,399,373,731,815,405,
627,778,680,021,794,188,478,003,441,670,915,089,120,249,916,537,678,333,363,
450,466,374,187,540,940,299,026,925,996,061,293,310,385,690,120,301,192,768,
588,314,865,350,318,672,893,199,627,570,355,924,991,865,528,945,329,702,667,
073,933,496,358,450,570,066,878,462,685,346,627,644,988,758,809,535,411,886,
367,126,814,689,317,570,131,231,560,660,598,771,475,941,869,779,358,954,502,
275,130,186,836,325,016,181,037,723,250,534,165,224,059,585,297,205,294,819,
216,883,751,812,413,620,163,335,069,138,416,481,189,738,262,497,285,278,376,
010,438,692,145,828,365,577,873,711,334,190,153,787,077,107,161,842,421,726,
012,047,694,792,385,962,458,420,175,300,069,674,770,055,188,938,369,867,689,
658,417,892,301,231,123,196,766,476,646,504,070,770,146,542,732,199,685,482,
774,982,317,703,310,843,847,937,650,331,652,167,721,750,995,225,079,353,567,
773,949,732,049,864,076,145,261,737,930,604,548,433,861,195,081,458,735,790,
710,694,251,148,189,890,217,464,264,169,115,350,889,511,158,892,585,023,395,
684,053,308,454,977,930,749,077,299,494,758,846,537,735,612,479,406,271,758,
412,517,777,792,173,108,192,997,751,346,587,571,049,562,889,673,186,177,740,
351,107,849,717,091,245,475,195,874,217,738,858,742,959,196,231,914,305,233,
166,242,023,619,934,934,247,835,960,681,195,489,666,326,779,772,893,554,594,
667,808,255,460,581,588,657,440,277,347,563,726,864,492,257,044,420,726,139,
435,526,253,443,560,753,316,263,893,563,632,860,850,854,427,541,564,126,647,
119,405,039,885,050,492,953,610,906,283,866,646,243,885,735,121,368,255,818,
195,037,512,605,179,605,343,081,751,536,135,568,724,721,283,382,818,509,816,
427,691,069,352,083,331,408,142,936,472,833,748,134,847,850,782,169,391,076,
922,928,986,353,457,587,316,229,549,538,593,218,454,804,089,436,282,692,617,
931,671,859,227,047,318,134,160,086,736,279,809,997,461,570,897,793,029,036,
060,203,735,626,280,768,743,364,099,366,981,563,885,803,389,052,433,894,326,
180,968,608,092,283,070,502,291,260,421,303,858,532,417,119,983,690,905,541,
342,784,801,836,766,018,589,668,985,061,955,179,388,072,427,969,742,672,820,
168,545,243,424,917,887,976,280,474,602,097,833,847,864,441,928,546,388,054,
042,101,308,970,962,956,018,434,937,056,371,659,741,932,033,672,789,657,821,
138,172,916,438,453,163,869,129,412,033,218,466,700,434,761,282,192,010,626,
693,820,814,521,454,404,558,587,740,177,992,966,469,411,826,708,314,679,050,
476,647,272,453,879,084,495,415,356,272,912,046,692,970,620,025,743,456,669,
897,166,317,775,824,399,309,575,734,926,525,826,441,002,962,954,789,353,512,
446,821,081,519,537,388,704,299,998,499,127,875,798,339,305,260,849,781,871,
969,998,821,512,259,547,081,806,771,239,190,065,650,862,885,021,725,959,491,
467,956,871,955,172,310,159,757,830,069,629,057,792,447,905,810,801,123,715,
815,948,454,483,270,017,176,475,826,670,609,462,197,335,827,049,906,503,560,
440,910,455,538,995,279,732,117,748,719,566,287,449,925,279,178,865,256,270,
599,359,189,571,701,298,155,840,762,076,086,617,982,254,146,278,164,847,913,
466,058,496,513,706,668,600,339,794,601,905,129,716,987,501,817,280,705,671,
037,019,675,025,493,151,897,721,682,035,597,811,158,118,008,658,678,984,505,
151,840,836,416,223,625,075,244,162,373,929,687,058,579,043,342,054,703,816,
957,010,205,569,279,078,466,955,093,577,886,197,193,466,515,686,144,880,577,
444,089,270,936,250,487,321,291,247,238,320,256,052,090,827,874,079,401,386,
605,471,024,539,669,904,339,614,815,500,438,366,615,479,111,353,509,390,287,
190,918,236,805,139,010,580,030,037,041,012,270,693,172,895,574,888,962,090,
183,161,115,413,308,041,781,303,360,294,001,052,195,787,212,725,615,518,192,
050,055,705,609,392,236,297,632,671,295,885,217,338,539,754,400,311,730,756,
014,576,137,531,462,076,287,585,558,512,108,219,215,846,886,955,436,513,426,
528,764,980,979,301,581,471,415,057,650,555,128,034,723,022,359,748,066,747,
859,011,888,513,306,420,916,951,929,270,878,447,006,039,499,812,583,802,761,
739,972,996,655,483,317,604,926,608,564,579,182,452,969,386,965,608,324,679,
843,984,129,116,683,450,701,718,313,825,858,530,890,194,293,127,070,436,963,
971,928,744,448,423,587,560,985,468,382,356,723,219,951,093,740,701,472,055,
647,645,564,910,010,822,348,898,993,209,652,132,656,562,332,745,367,060,288,
543,805,213,886,500,479,549,025,088,368,523,854,890,786,552,997,736,158,082,
700,011,928,506,494,309,846,724,335,947,809,820,456,181,137,752,540,293,938,
212,319,837,879,132,284,552,653,545,231,101,458,000,304,981,067,032,082,208,
069,772,411,929,739,879,109,611,422,536,306,011,705,566,765,747,910,938,992,
622,445,953,405,816,009,120,437,989,000,818,682,323,744,609,683,200,498,273,
813,565,483,010,089,672,566,165,666,022,157,515,479,035,264,864,902,509,525,
520,240,490,824,776,135,291,704,580,060,648,360,542,183,673,917,144,492,293,
275,578,003,635,387,458,905,650,004,561,400,929,631,379,892,846,639,665,664,
525,804,310,505,921,825,540,406,233,187,991,753,043,946,777,517,494,857,799,
789,433,411,076,105,956,187,555,311,523,673,611,766,731,169,845,927,796,276,
954,226,572,496,309,711,628,992,737,500,148,668,918,629,280,282,255,777,104,
957,036,002,750,249,182,000,530,765,552,277,467,362,991,601,060,630,371,732,
544,204,096,235,215,527,476,160,467,848,857,027,533,655,631,304,128,818,233,
719,761,240,352,515,653,407,889,916,303,393,489,087,204,708,070,901,490,434,
081,438,807,952,395,079,420,961,108,952,738,960,284,559,882,896,278,168,135,
452,077,168,929,724,900,460,840,377,453,742,303,408,341,164,397,926,140,036,
752,831,532,835,552,551,851,103,524,019,295,880,146,179,166,125,035,468,334,
394,503,896,165,497,376,230,729,581,135,841,481,764,450,105,050,447,566,592,
078,381,832,397,338,489,000,557,878,340,976,577,686,051,181,136,815,758,928,
188,437,555,876,792,748,083,987,935,541,869,362,363,347,526,215,318,019,847,
128,091,965,264,419,087,910,477,408,423,824,295,958,536,996,303,011,381,310,
984,997,259,658,519,932,578,193,673,474,744,099,188,225,754,081,293,708,905,
719,522,000,880,891,428,061,028,026,850,472,286,325,792,626,301,218,734,539,
803,648,637,182,436,580,379,621,687,990,563,429,182,375,420,335,488,595,477,
442,043,747,337,925,912,287,327,227,310,696,714,114,304,613,770,940,290,660,
357,743,259,594,829,113,187,011,168,534,928,950,589,853,077,726,753,257,686,
048,068,579,039,367,028,032,134,883,461,160,888,011,128,408,143,037,547,485,
297,036,635,013,590,370,167,747,097,789,406,626,587,014,649,822,263,208,416,
183,950,281,592,593,224,201,807,689,895,522,565,009,120,835,567,466,423,267,
312,324,195,463,424,985,255,576,329,160,796,330,177,809,943,052,513,429,149,
155,855,494,610,860,495,370,277,949,624,392,072,247,670,726,547,209,857,275,
905,144,158,311,989,540,658,691,479,644,047,647,067,912,012,941,786,985,810,
417,905,341,576,344,816,775,125,647,802,764,233,100,265,546,760,940,933,447,
564,089,636,744,733,565,657,262,081,802,086,185,674,504,048,984,695,837,237,
176,329,834,150,110,669,222,846,381,545,272,614,347,905,779,305,155,871,864,
882,486,727,825,520,175,173,582,392,943,839,182,096,739,255,022,356,573,420,
631,071,174,606,853,749,653,527,140,790,466,566,257,303,852,400,532,771,235,
065,779,975,008,229,849,253,609,998,792,260,315,640,466,112,688,479,205,581,
022,209,184,401,729,661,387,817,763,063,757,623,639,313,350,314,982,500,094,
790,102,047,747,968,353,844,327,788,586,625,019,355,414,845,379,715,534,021,
980,545,806,476,928,337,324,175,599,924,097,474,018,679,528,683,510,145,619,
029,094,516,305,871,346,008,771,417,644,638,848,683,345,801,554,023,251,761,
764,857,232,556,921,277,208,150,480,274,395,118,701,005,653,392,272,133,093,
631,899,954,452,126,264,132,944,645,210,787,731,632,946,332,288,290,769,562,
148,914,593,644,727,227,183,408,561,802,073,089,636,514,228,555,031,954,296,
020,373,090,643,139,531,723,560,789,868,045,575,534,518,170,273,863,655,353,
757,656,440,061,430,665,485,704,158,592,014,541,876,593,181,606,020,069,959,
225,120,498,104,291,290,517,904,278,101,384,296,599,574,436,112,380,023,969,
745,250,824,755,409,308,205,729,639,787,423,596,154,562,386,403,000,683,233,
724,528,456,070,155,462,904,599,556,833,398,433,950,957,207,701,121,610,052,
325,153,257,923,522,208,100,153,598,555,727,149,831,435,110,061,657,439,889,
360,445,465,381,146,924,301,870,932,942,833,319,406,193,497,209,172,592,412,
184,190,360,071,709,561,050,809,714,303,564,076,390,720,718,786,992,175,954,
549,771,274,275,337,196,027,310,230,428,380,070,499,930,442,564,700,840,825,
185,436,396,513,188,569,457,525,408,575,479,256,703,335,474,924,632,346,467,
821,358,753,211,744,323,146,627,769,164,288,218,044,938,367,822,482,780,609,
644,968,648,072,989,417,092,169,795,976,792,587,048,698,318,591,901,185,448,
859,022,989,740,912,615,520,471,688,472,336,014,922,083,309,770,186,452,623,
648,446,806,181,117,695,803,216,500,757,044,057,178,644,386,119,268,067,977,
838,574,969,007,322,068,527,038,700,730,975,010,579,849,165,017,505,171,226,
074,086,082,709,945,812,988,292,376,107,137,789,369,370,262,636,332,097,421,
259,589,539,029,108,267,982,835,776,784,791,814,404,203,629,433,025,774,008,
896,886,455,199,398,354,707,273,543,741,939,666,857,672,369,568,797,834,661,
433,751,047,729,831,316,287,973,771,081,915,336,057,335,456,610,195,243,924,
492,741,060,980,681,909,129,513,310,851,938,463,560,142,708,036,194,818,965,
409,425,807,721,064,279,583,054,395,189,946,319,289,215,367,874,291,326,980,
032,098,666,278,553,446,542,309,356,658,740,369,678,761,093,714,382,475,699,
428,611,247,697,103,182,957,511,286,838,907,224,874,989,991,059,149,339,908,
346,827,605,682,575,252,357,661,631,744,930,130,303,874,680,277,489,551,199,
003,441,912,419,715,037,666,824,682,273,523,081,992,228,013,692,479,780,806,
187,511,765,978,867,784,956,862,683,036,870,413,780,477,994,050,633,676,548,
931,654,450,474,834,476,285,443,103,227,008,407,747,616,571,071,027,181,186,
759,825,609,428,082,251,342,192,656,660,312,423,779,448,273,042,209,030,426,
560,554,616,393,784,284,764,722,354,060,384,594,322,556,836,402,671,237,386,
045,050,064,944,708,184,781,671,268,484,912,161,646,291,849,754,255,985,748,
844,907,330,575,915,040,790,248,879,769,161,188,453,035,228,527,745,851,443,
356,037,160,608,291,072,699,290,584,178,477,811,013,592,264,103,012,813,197,
193,211,515,601,489,002,623,831,728,151,677,928,188,069,860,761,634,337,039,
789,788,241,596,246,521,110,206,511,561,525,952,177,933,394,787,379,464,543,
238,257,367,739,388,391,868,974,641,152,715,333,444,715,425,957,660,580,941,
417,771,697,872,537,555,128,908,838,162,359,619,182,997,571,916,686,925,398,
440,651,281,671,469,371,284,302,571,699,705,896,443,520,157,783,181,972,975,
618,415,113,629,456,778,187,126,236,193,121,473,936,606,981,414,152,249,269,
701,323,388,345,905,830,158,688,896,964,683,146,580,077,656,319,930,421,678,
416,443,307,357,021,740,676,464,175,476,777,913,114,241,608,213,009,904,926,
650,606,162,368,111,668,151,690,271,680,994,710,599,166,240,636,974,411,505,
863,228,359,561,032,371,992,730,357,922,319,334,385,680,900,738,297,111,512,
518,750,898,285,111,052,641,101,703,739,769,158,758,389,589,197,663,469,580,
645,922,140,510,399,313,001,199,519,623,898,907,052,890,669,130,816,115,516,
539,919,626,361,005,821,233,943,125,055,344,772,994,990,068,712,325,764,334,
876,866,443,631,818,326,212,775,836,902,389,130,039,866,614,303,049,432,200,
190,957,115,772,509,722,918,582,182,081,674,974,372,082,651,906,449,176,142,
745,416,034,913,852,103,674,798,831,302,889,790,173,719,582,246,537,654,528,
922,033,752,066,693,635,004,041,225,072,289,577,179,425,162,503,837,529,457,
889,455,342,094,250,903,851,739,272,834,947,074,756,171,561,245,697,824,245,
200,003,538,489,955,510,038,442,664,246,000,561,907,513,780,026,001,699,930,
718,443,176,530,622,102,337,559,006,356,254,630,594,883,829,585,748,313,676,
316,036,199,359,765,402,560,358,646,764,550,940,089,095,827,020,306,600,614,
636,937,147,061,863,100,698,324,897,476,136,386,527,722,235,930,928,225,358,
843,557,929,454,442,438,204,561,713,806,329,268,524,175,952,045,403,932,289,
887,871,418,698,010,777,005,218,374,779,788,793,500,190,018,140,433,361,738,
429,916,701,318,506,701,054,650,094,863,900,607,281,890,556,065,235,450,665,
099,857,360,912,156,223,603,806,711,995,576,568,506,330,746,482,592,192,362,
963,347,072,367,861,373,588,025,311,962,799,680,940,202,665,827,658,838,841,
547,907,623,736,746,113,568,387,623,393,562,119,899,362,152,451,162,780,632,
282,615,586,032,044,517,916,576,429,432,337,385,474,764,884,332,620,154,994,
441,456,973,394,688,019,187,123,692,860,712,720,411,422,839,028,608,498,564,
679,252,826,114,015,577,581,952,717,483,050,843,436,042,620,587,162,699,186,
748,020,877,151,602,930,333,384,967,159,796,809,354,627,972,111,844,731,789,
757,088,358,639,504,529,962,776,899,688,367,727,692,671,026,648,069,413,087,
848,253,015,736,832,112,820,672,138,735,405,809,750,936,049,934,839,495,854,
590,764,660,957,096,361,524,368,077,333,955,778,642,962,496,728,858,555,511,
749,294,446,016,412,858,960,763,846,645,394,592,376,697,220,389,555,129,074,
778,344,917,936,995,185,359,184,120,335,022,604,892,717,844,887,977,977,240,
835,148,440,513,751,247,381,714,223,378,265,507,022,103,173,254,250,901,156,
519,134,367,967,247,408,991,755,609,923,913,797,565,338,362,377,887,820,933,
284,410,449,837,794,991,523,645,782,809,216,230,215,232,389,972,771,199,402,
560,463,100,783,140,161,402,610,520,511,692,501,906,162,246,120,958,241,609,
620,838,824,130,752,579,619,186,473,212,308,269,823,818,468,866,132,613,316,
775,209,033,510,207,664,301,574,336,380,356,053,420,440,617,234,416,545,591,
825,110,986,131,504,399,666,036,612,015,473,057,045,670,932,782,286,450,147,
696,626,727,512,513,079,684,291,042,954,170,448,255,613,240,363,182,823,689,
236,610,966,613,996,128,938,105,779,137,666,726,950,513,750,525,522,299,619,
138,181,252,505,180,625,093,407,889,538,959,794,201,791,146,705,642,108,781,
716,946,709,816,855,246,058,680,060,436,698,959,030,248,275,704,779,435,557,
547,648,194,775,476,287,855,100,777,542,582,703,900,215,464,186,148,562,479,
175,196,271,304,393,791,709,511,158,591,897,364,850,318,663,903,988,284,690,
786,212,077,110,044,839,519,544,840,839,721,288,787,553,138,266,812,277,641,
382,552,235,158,433,069,070,950,604,041,858,315,361,845,737,972,711,578,507,
848,015,764,503,496,231,272,450,553,225,773,063,734,023,330,073,537,609,017,
015,120,533,610,277,278,813,917,596,835,251,593,238,745,393,796,675,270,005,
193,935,038,791,943,013,147,989,499,863,932,470,304,815,410,619,718,436,486,
838,465,613,138,781,312,238,067,932,073,953,370,531,413,362,267,909,330,785,
706,416,725,479,059,578,841,375,915,886,906,729,510,450,559,516,246,274,087,
814,043,185,571,002,245,530,679,804,216,498,909,959,691,894,035,312,277,259,
623,885,254,825,681,297,295,005,573,256,293,973,668,349,937,597,071,764,068,
138,789,179,997,926,852,260,191,140,362,607,920,553,607,545,808,989,415,158,
250,358,546,658,794,537,218,804,423,418,544,525,083,185,324,913,671,056,151,
825,078,370,306,871,332,026,153,206,255,012,797,226,057,755,791,247,203,858,
144,456,370,600,919,073,881,789,526,674,801,666,522,123,927,384,147,200,494,
099,064,688,783,187,779,357,229,880,979,159,573,727,847,363,289,303,806,850,
509,827,630,264,582,382,289,585,599,995,176,063,587,244,411,427,367,726,568,
756,124,584,371,183,504,983,367,981,904,449,559,417,963,289,332,076,293,914,
856,051,872,125,599,209,669,656,686,132,376,506,174,363,477,286,146,533,027,
925,417,735,494,350,218,702,710,214,484,939,356,089,090,749,619,793,274,893,
533,016,035,909,552,105,644,578,497,616,499,522,139,584,798,377,757,578,174,
295,987,010,080,032,953,377,249,200,903,855,022,586,227,408,689,452,972,442,
102,160,907,325,270,248,678,670,696,781,083,973,327,628,928,188,921,855,814,
486,384,873,358,756,222,232,254,718,437,373,286,489,848,846,196,850,899,185,
005,985,127,151,343,180,977,403,932,956,763,204,489,615,642,302,624,796,362,
313,804,067,607,522,635,418,037,628,115,020,097,749,721,261,473,821,649,065,
631,925,878,808,271,941,643,651,585,881,721,182,763,770,533,087,204,679,573,
145,830,385,778,879,916,298,850,799,722,399,232,932,757,861,677,730,819,409,
924,303,339,284,745,708,503,315,154,844,408,100,523,961,282,338,060,693,470,
656,861,985,124,980,835,800,626,818,863,619,762,881,629,355,888,266,363,225,
968,465,745,298,536,945,102,599,531,095,844,267,638,801,508,150,692,406,692,
947,944,821,439,668,260,316,046,799,363,186,438,370,540,498,819,252,580,191,
785,683,459,131,029,421,336,362,013,807,458,950,478,986,985,872,157,756,322,
084,459,056,850,686,938,322,577,662,402,280,368,978,177,999,888,504,368,016,
372,036,009,422,890,593,189,650,201,469,608,185,213,065,679,963,642,924,849,
007,543,404,754,673,009,471,332,856,951,919,143,994,267,883,238,095,923,309,
500,000,646,653,481,300,877,086,053,633,389,951,825,558,964,173,572,793,324,
453,556,239,966,206,524,706,206,144,140,590,985,149,136,504,148,075,768,607,
725,686,963,210,956,244,473,173,919,503,155,108,836,848,750,998,530,269,554,
189,215,639,088,684,003,969,705,260,293,582,424,686,742,427,988,582,738,046,
020,466,486,075,682,104,675,027,347,161,698,284,955,273,434,879,752,082,392,
797,847,103,493,038,924,290,694,477,680,039,642,568,980,431,425,847,011,292,
528,320,654,496,754,500,040,013,586,568,687,700,072,213,887,217,502,956,648,
447,507,634,279,495,595,937,483,208,053,279,559,708,541,711,727,005,734,422,
584,148,516,222,638,103,969,960,186,080,803,184,436,398,294,838,076,783,365,
799,398,274,284,510,617,789,980,608,097,481,998,446,303,560,888,664,796,485,
459,001,913,725,814,722,679,242,436,561,044,035,096,055,775,247,494,972,712,
274,126,999,178,900,513,003,042,649,070,513,356,390,810,148,730,309,941,793,
346,883,570,918,572,542,202,981,571,700,412,773,668,240,320,141,882,622,159,
346,034,636,003,404,632,303,346,953,690,567,584,958,298,158,567,452,305,041,
141,290,475,963,885,856,136,368,416,077,219,179,110,902,917,948,125,499,316,
767,733,979,989,499,045,924,133,498,937,699,641,232,388,946,648,265,603,371,
590,298,555,008,234,499,171,358,669,054,337,490,191,615,395,945,770,169,069,
804,910,086,551,175,340,315,794,136,977,685,414,596,964,829,474,566,469,756,
213,158,895,896,463,604,549,875,277,619,262,433,705,214,991,713,070,937,820,
746,530,550,437,615,484,078,301,548,157,048,594,315,466,062,353,852,006,154,
349,884,261,716,941,615,041,227,495,374,707,890,528,900,920,360,126,958,373,
219,553,490,834,778,579,731,113,321,296,627,373,634,228,765,174,789,873,480,
808,111,726,703,948,534,039,808,156,556,110,225,315,594,237,689,487,062,330,
835,871,382,959,907,323,268,910,519,778,785,867,364,617,903,803,348,185,650,
423,891,522,703,923,457,886,063,508,701,370,989,900,375,220,924,284,002,695,
141,720,701,869,104,323,824,689,820,696,678,859,102,313,508,062,563,288,260,
056,848,123,187,018,965,093,518,692,955,605,554,528,044,661,553,555,740,588,
619,676,527,957,542,200,051,720,666,170,827,933,834,971,750,392,505,740,515,
991,377,740,347,069,898,233,774,315,052,218,117,321,072,933,875,936,486,207,
677,829,873,189,935,105,701,945,830,614,201,792,369,271,433,873,501,243,843,
582,106,784,066,254,149,412,289,603,296,719,165,972,003,370,505,394,149,335,
969,799,964,264,097,197,573,441,803,632,936,081,602,587,443,885,650,570,407,
254,358,241,459,573,752,807,473,438,108,508,628,330,635,484,691,690,426,152,
228,375,129,317,450,487,346,007,556,885,052,995,654,453,783,915,271,215,219,
172,663,274,529,473,242,789,634,210,172,024,686,611,528,291,461,860,203,052,
985,444,802,319,719,061,214,270,888,589,250,020,904,886,704,788,510,764,630,
664,475,229,280,157,833,310,741,918,530,786,669,395,592,001,018,330,240,295,
836,634,406,363,338,702,970,340,508,754,514,673,091,843,812,459,557,277,504,
968,262,531,040,080,178,882,654,711,563,554,930,885,549,081,561,738,262,688,
266,014,649,506,534,786,745,906,041,220,153,449,096,670,626,526,422,567,523,
748,132,885,396,680,174,006,960,183,453,923,550,855,777,248,230,102,152,691,
027,496,859,028,795,464,529,903,706,953,190,040,927,233,324,523,420,723,585,
663,043,924,471,896,378,840,653,168,020,633,212,252,906,984,917,229,410,302,
232,861,120,583,247,294,084,625,257,608,909,906,147,342,877,469,776,792,715,
645,100,788,832,496,951,546,193,271,329,523,252,261,744,976,260,963,483,675,
775,658,051,772,318,653,456,629,097,717,068,047,086,968,806,619,098,783,256,
274,251,039,431,955,507,795,137,922,628,764,473,741,018,592,051,204,658,219,
341,110,964,886,056,476,294,282,865,734,072,515,939,381,894,897,283,142,035,
790,264,188,568,225,357,619,594,256,328,700,253,634,708,989,151,368,535,437,
252,134,512,368,138,086,897,627,882,217,509,083,246,022,138,918,788,084,455,
073,341,164,143,609,007,126,040,955,827,304,533,530,608,732,829,723,683,359,
167,206,114,003,200,887,865,165,343,324,629,500,454,230,904,663,062,141,439,
142,229,092,352,698,431,582,499,506,071,561,330,888,704,507,388,023,006,133,
150,709,757,884,450,793,174,697,015,065,752,337,297,396,997,035,656,741,715,
870,050,390,161,305,741,114,652,081,283,694,714,850,204,388,754,592,868,842,
643,379,511,506,287,882,899,961,035,918,441,109,465,501,878,781,685,780,281,
945,483,776,278,824,059,357,628,257,688,993,562,217,915,779,536,872,917,830,
651,179,273,025,635,066,316,225,850,001,401,463,493,403,823,038,079,699,571,
426,918,971,457,373,213,462,318,514,751,491,517,959,085,846,832,497,988,050,
398,846,537,551,171,288,997,647,950,052,035,606,923,079,387,100,057,274,533,
781,760,379,984,160,479,984,456,931,187,152,310,154,498,831,079,452,976,835,
110,172,958,612,856,453,840,664,453,828,197,881,188,580,379,016,703,017,966,
957,709,138,868,963,701,210,768,459,114,772,692,439,717,748,131,157,150,107,
445,490,910,153,243,931,358,729,877,677,934,971,337,230,421,898,739,345,553,
982,418,962,922,476,242,527,771,529,231,686,665,403,371,036,678,204,182,840,
072,085,292,540,281,251,609,690,886,409,190,487,040,715,258,026,198,087,652,
016,071,219,526,001,080,203,364,319,131,763,239,004,066,721,860,570,865,438,
384,347,807,616,511,316,311,474,974,766,934,216,902,106,519,433,132,830,453,
845,293,539,778,597,140,902,772,363,075,039,045,667,064,787,352,519,971,442,
784,658,255,186,454,798,089,011,315,740,835,073,941,162,837,118,377,660,977,
311,793,592,824,759,652,853,968,187,889,284,503,689,129,126,001,986,099,349,
105,898,036,145,495,323,957,434,992,987,932,907,815,196,281,696,304,527,902,
325,649,247,774,021,652,187,292,026,217,332,623,653,714,872,691,185,274,849,
537,373,211,913,084,095,078,278,433,848,662,285,775,560,104,388,821,435,337,
031,726,793,311,622,647,210,880,296,870,208,899,415,395,627,294,830,953,436,
896,454,198,127,327,015,863,333,312,176,386,842,781,529,169,392,314,200,160,
690,463,342,667,341,297,616,144,760,413,700,901,485,314,797,257,972,658,427,
244,520,790,597,500,371,968,231,662,592,529,506,055,390,082,053,537,561,630,
659,715,958,600,502,306,331,699,340,925,326,041,607,037,265,292,886,580,568,
462,270,738,294,748,876,242,323,646,303,090,819,612,448,721,424,240,284,708,
904,084,075,834,123,258,982,377,855,962,332,414,320,028,815,841,271,822,770,
027,175,674,144,593,698,756,703,035,513,559,869,058,440,939,896,521,512,168,
136,536,803,937,339,723,465,829,228,041,581,200,695,136,689,319,179,816,595,
562,325,512,698,337,506,730,070,201,779,256,861,275,815,369,932,353,446,837,
783,519,291,919,808,225,182,116,168,800,887,622,496,903,110,375,327,898,875,
453,027,225,146,163,047,223,000,959,941,830,978,800,886,568,054,935,902,309,
401,325,407,674,799,813,204,049,368,700,944,272,715,941,236,001,115,802,710,
559,304,783,921,218,246,732,208,242,814,040,680,932,893,313,198,126,947,151,
746,715,483,708,030,694,518,543,706,110,665,436,328,878,184,103,952,611,254,
801,803,753,585,105,835,182,804,867,020,066,953,822,273,830,413,383,592,255,
659,121,770,917,963,903,562,870,062,222,304,066,663,205,816,446,053,526,261,
880,251,404,019,553,928,422,732,136,521,675,550,167,129,943,603,866,023,104,
529,936,963,384,463,011,690,946,863,024,102,949,794,035,928,446,166,667,024,
250,274,871,576,000,324,105,239,044,517,610,812,613,283,519,309,475,289,029,
402,765,454,744,771,681,190,026,112,255,200,288,175,538,013,773,198,927,783,
437,948,310,687,213,157,305,696,006,658,657,415,841,140,080,328,030,591,054,
846,689,437,407,452,920,149,638,857,732,084,198,641,029,497,675,431,524,496,
442,256,301,875,211,998,955,363,325,866,760,044,205,451,379,026,327,931,757,
095,336,641,045,783,662,825,314,694,818,870,998,659,520,680,581,006,111,877,
074,798,276,030,767,459,437,571,818,588,822,393,343,018,874,188,653,439,027,
422,725,636,710,245,824,510,639,490,983,240,692,749,558,218,623,650,685,814,
924,140,852,600,098,064,792,784,756,208,310,824,360,254,582,574,064,769,927,
243,542,064,112,842,474,230,712,646,121,115,178,880,573,790,022,721,750,666,
821,236,473,517,504,735,064,372,509,636,594,740,447,872,749,588,593,967,368,
068,555,725,832,135,990,979,331,546,187,683,179,077,758,317,600,819,049,212,
907,046,650,687,444,978,436,058,292,421,355,985,152,272,318,229,311,191,308,
558,927,277,291,217,729,357,487,093,186,779,980,170,350,252,697,362,707,237,
938,997,412,684,550,868,272,033,535,219,070,534,303,116,127,049,947,445,137,
262,439,683,780,043,057,131,694,098,983,435,725,939,221,388,282,214,254,224,
789,818,507,154,415,533,976,252,748,645,113,682,037,916,867,040,527,574,155,
190,799,485,260,704,071,332,489,578,815,291,939,791,937,459,509,964,630,135,
861,791,960,714,606,954,000,243,278,373,356,766,789,618,819,813,018,565,753,
795,151,245,072,129,304,434,925,221,620,026,263,294,753,243,212,833,942,013,
841,524,479,064,244,880,360,218,766,300,279,767,303,215,692,058,788,320,262,
959,215,521,596,659,758,385,841,614,272,856,872,378,945,770,518,726,031,528,
971,393,551,719,660,268,828,416,353,118,148,626,919,142,609,304,303,707,159,
008,965,236,972,879,276,886,129,637,778,471,891,636,333,437,282,599,778,256,
154,398,217,440,697,593,210,378,810,120,660,960,933,091,310,052,153,223,636,
975,387,766,048,091,389,830,947,744,810,218,440,471,700,115,982,407,523,528,
601,344,117,220,100,818,838,101,886,921,092,464,809,140,120,152,391,931,785,
970,460,980,655,729,219,659,725,052,581,119,165,761,479,500,968,087,231,444,
030,216,936,052,349,868,192,754,065,189,386,068,579,803,465,315,865,778,329,
412,227,881,311,405,895,226,433,626,224,365,455,895,045,743,081,554,117,273,
994,514,969,543,340,240,000,936,569,702,663,876,638,011,726,326,249,202,257,
512,920,017,634,160,913,396,266,659,659,641,807,865,320,737,391,135,615,245,
848,543,256,019,054,774,963,870,327,238,477,800,326,622,591,472,952,079,460,
056,489,375,141,772,863,100,573,804,245,634,124,242,387,688,245,305,418,691,
442,338,827,724,178,305,686,989,154,501,240,113,662,821,625,884,124,099,731,
865,010,886,551,959,042,911,520,838,405,325,696,708,237,973,045,691,575,475,
449,360,368,243,355,841,510,346,139,074,803,560,438,953,824,999,745,220,485,
954,143,219,794,451,341,088,385,721,466,070,482,081,365,972,332,949,518,218,
404,206,467,144,572,180,275,647,862,739,382,181,518,594,313,054,440,004,667,
208,803,465,868,836,415,384,778,689,533,199,758,046,111,945,944,877,745,545,
297,111,500,512,653,874,926,107,280,584,474,699,843,605,784,271,355,154,289,
283,277,898,104,282,005,606,613,160,330,216,287,684,446,012,956,499,266,343,
836,853,512,372,343,819,269,784,448,056,574,792,972,936,910,457,414,833,053,
637,252,015,190,195,542,513,755,555,111,330,248,608,266,953,400,967,011,673,
028,321,324,719,962,470,888,463,830,716,384,754,966,914,084,258,764,532,469,
616,017,377,102,784,479,812,171,870,233,840,096,827,594,713,606,749,969,779,
449,710,886,396,874,145,801,025,067,808,498,477,580,009,366,324,794,608,609,
262,154,316,347,115,039,077,426,905,481,678,810,103,814,744,352,230,433,918,
833,902,962,402,451,404,369,633,724,021,597,916,049,802,049,798,679,549,150,
546,605,179,616,836,105,300,249,448,378,690,526,788,861,494,450,335,464,952,
249,718,008,176,070,707,901,111,967,600,686,774,062,435,803,625,020,803,112,
835,436,669,727,247,490,418,596,209,030,667,153,547,232,288,000,181,959,633,
878,559,256,693,576,403,813,592,616,585,631,240,221,291,080,530,275,789,155,
455,721,118,119,211,174,001,640,355,078,815,979,158,954,054,321,959,890,543,
374,540,617,399,883,575,700,345,345,953,637,502,850,678,657,270,323,536,041,
695,722,170,853,143,786,487,569,039,972,932,348,426,948,291,019,382,678,152,
365,711,721,059,618,666,327,961,142,229,772,595,062,062,492,596,147,758,464,
600,257,735,695,362,869,041,918,986,490,955,835,378,278,635,213,924,234,084,
315,029,078,680,640,434,610,539,116,233,994,869,459,085,398,600,218,059,421,
008,352,971,038,801,280,100,403,628,388,981,063,111,365,160,321,567,850,784,
920,272,731,526,720,967,508,968,690,734,598,260,169,353,317,914,493,549,502,
197,204,512,645,776,289,444,885,080,707,726,503,971,141,590,597,422,734,446,
616,647,322,433,432,122,455,282,256,241,040,946,946,603,000,210,497,148,023,
379,602,889,233,449,908,525,232,574,689,969,781,852,233,957,056,976,257,952,
535,392,779,092,746,830,332,370,666,547,294,038,870,946,888,692,381,388,747,
081,018,510,905,958,530,186,252,838,312,393,727,435,311,547,499,906,152,713,
526,431,541,164,901,042,578,198,024,063,840,193,106,157,091,543,748,950,212,
943,075,943,510,980,538,776,466,338,248,903,440,037,930,089,614,082,040,052,
651,391,388,137,518,484,933,406,084,505,488,320,090,590,947,689,867,872,976,
529,848,061,924,384,068,888,013,996,998,658,721,622,638,338,002,345,953,425,
278,690,620,845,142,533,607,037,765,235,322,251,300,806,263,404,751,042,123,
334,339,061,270,872,001,088,472,148,918,641,051,717,903,704,486,353,836,182,
058,310,960,725,952,890,735,815,360,815,383,167,200,984,889,437,077,461,811,
758,833,187,582,810,640,931,064,428,702,211,992,208,233,567,369,696,670,358,
135,455,533,173,812,529,802,950,173,482,200,132,120,452,583,253,565,477,590,
871,819,408,565,687,991,508,757,900,336,634,615,164,302,410,799,869,997,716,
918,705,525,721,973,282,211,792,171,305,391,305,823,892,783,755,728,018,359,
556,350,170,717,869,017,466,959,040,638,247,618,789,118,590,439,649,558,387,
500,434,238,714,278,048,855,879,929,952,348,910,397,381,549,806,270,143,233,
424,704,982,332,920,492,900,761,448,857,963,078,103,577,605,172,599,716,320,
655,424,106,486,230,942,759,902,315,541,525,634,753,229,864,749,519,341,858,
115,165,496,052,468,810,293,380,036,906,586,324,016,382,573,998,288,254,304,
705,660,020,217,046,718,553,454,532,502,983,651,152,488,706,883,963,826,402,
753,503,490,415,087,117,977,965,533,877,137,802,430,474,475,683,824,408,140,
230,713,904,823,388,041,409,514,656,175,340,904,185,522,485,123,509,231,807,
976,195,495,288,205,848,225,068,011,665,689,282,648,086,136,619,777,682,209,
602,893,625,856,212,780,408,415,668,212,865,006,487,320,213,095,005,994,953,
473,068,004,759,424,704,117,140,529,094,570,829,277,637,598,406,235,139,095,
871,776,390,854,398,935,763,915,936,577,516,010,345,187,268,389,288,873,406,
346,058,540,812,999,815,985,326,142,189,111,154,808,780,584,716,437,434,939,
108,420,579,804,802,285,009,213,539,864,212,514,668,037,222,736,582,002,332,
395,755,540,044,463,588,393,543,976,044,377,467,453,603,328,124,100,554,555,
960,524,494,477,927,821,623,238,651,361,755,815,949,713,119,501,584,751,091,
663,910,343,751,872,778,275,539,646,825,788,365,153,682,262,391,297,791,225,
853,363,222,586,464,892,644,824,103,815,444,294,135,981,715,788,900,032,581,
974,854,177,544,085,623,109,887,361,087,904,736,910,865,888,266,205,180,243,
602,376,662,310,037,284,597,044,203,800,934,083,184,455,724,364,161,394,651,
633,355,847,823,610,112,970,157,089,732,331,768,848,250,679,540,661,008,959,
383,826,942,234,331,489,332,929,344,566,028,883,608,505,534,577,205,768,957,
765,146,993,588,955,719,271,524,306,570,670,018,733,523,504,223,675,596,609,
724,047,856,590,772,829,803,746,580,910,341,591,630,919,756,455,628,694,918,
926,749,828,196,633,715,663,489,758,419,355,564,187,526,234,867,491,599,199,
180,433,711,026,890,399,220,090,241,763,952,736,128,809,172,868,029,752,928,
324,327,072,365,948,441,914,358,967,998,886,431,744,433,338,079,215,172,921,
810,606,881,173,052,478,389,923,941,391,244,136,511,970,195,252,073,776,227,
695,105,172,764,589,897,131,168,792,861,852,975,034,243,447,017,521,513,059,
246,185,610,000,556,322,971,127,608,304,921,523,944,907,738,867,729,569,212,
836,227,974,241,043,899,427,447,762,364,179,804,819,050,118,980,397,106,739,
688,032,786,759,924,098,120,913,521,682,390,373,162,085,772,658,050,750,293,
769,707,889,822,242,980,786,126,422,802,195,894,551,198,794,896,868,856,436,
982,839,239,228,750,246,323,308,045,629,655,123,415,012,058,776,367,078,938,
753,752,918,212,451,275,378,242,714,127,858,688,569,357,165,719,142,194,645,
895,786,953,869,117,425,562,620,886,550,397,895,852,808,208,381,420,711,118,
918,749,017,689,388,760,206,984,026,443,532,441,380,830,386,482,153,517,916,
451,324,646,958,498,677,182,482,510,960,397,131,329,146,321,153,177,483,716,
016,167,173,940,138,347,167,234,673,345,557,072,990,242,982,844,227,280,668,
547,347,886,895,132,828,676,257,315,597,709,403,883,362,596,283,797,714,287,
722,593,300,184,834,451,102,117,450,503,881,243,433,287,265,738,949,594,624,
225,706,486,763,550,816,514,608,066,801,028,390,596,991,870,472,873,797,836,
054,344,881,543,697,870,585,275,392,319,179,094,446,512,174,006,831,997,823,
547,144,283,147,773,563,303,341,635,104,802,300,314,829,026,584,525,706,078,
611,406,562,777,892,079,331,026,713,770,569,943,715,499,716,811,210,500,705,
137,642,468,611,363,709,435,850,283,463,966,644,958,273,633,828,131,215,343,
564,164,910,161,803,019,166,312,271,387,950,977,355,099,727,115,306,832,783,
279,352,514,141,315,666,907,773,866,812,373,425,327,537,399,547,250,169,015,
550,472,092,749,605,527,801,137,962,946,440,505,932,269,827,924,972,172,776,
259,018,694,784,963,428,143,483,987,351,737,421,694,020,788,853,780,030,028,
558,731,045,053,893,940,111,849,103,560,701,730,211,694,693,852,206,173,983,
117,098,601,354,741,100,968,049,211,962,025,120,708,028,947,578,602,157,980,
153,207,427,424,441,981,393,081,478,025,973,930,629,524,665,422,487,164,247,
639,731,679,606,544,770,492,043,570,200,550,809,167,096,103,883,397,744,779,
978,932,487,468,818,832,984,631,640,719,663,447,036,639,849,168,772,796,838,
905,922,726,075,715,382,449,297,312,026,679,585,288,389,444,370,509,234,357,
489,536,823,521,596,117,659,888,327,701,804,857,101,903,253,158,558,738,696,
847,209,792,191,950,551,987,773,304,116,964,256,156,446,918,031,280,809,604,
884,104,588,569,323,142,897,728,742,624,224,747,087,921,498,719,267,514,763,
777,309,120,486,341,149,037,083,572,949,893,218,491,601,673,818,452,304,671,
881,957,492,218,084,521,838,971,267,011,648,865,650,412,095,205,323,353,804,
809,838,923,093,238,758,916,698,975,811,327,718,590,483,177,339,235,035,119,
595,974,504,919,437,237,013,190,389,446,735,756,242,121,264,498,677,015,843,
329,026,131,962,863,934,608,019,289,760,946,207,713,739,585,771,667,522,470,
555,492,810,131,312,717,890,029,856,897,532,153,294,018,600,843,088,229,032,
377,875,104,558,629,810,896,678,522,647,736,054,982,122,889,067,991,866,732,
839,749,852,711,024,865,720,188,672,787,875,418,953,063,572,223,232,212,977,
902,554,925,089,719,512,591,010,129,132,924,321,572,095,578,816,215,492,779,
380,979,935,921,062,766,203,509,913,621,743,205,479,581,901,808,538,620,575,
332,404,070,352,131,702,441,656,713,972,337,944,784,288,741,096,273,609,481,
246,614,265,411,616,261,205,755,210,289,017,300,394,023,496,378,012,154,411,
072,054,081,961,513,777,715,285,036,987,167,802,244,186,169,270,835,050,162,
807,136,327,685,263,526,009,019,583,314,355,960,081,211,513,994,494,125,461,
705,197,277,018,440,890,312,898,077,059,475,626,521,971,824,294,765,843,662,
980,918,217,798,310,064,417,213,825,532,201,881,860,904,408,616,112,767,975,
658,381,001,037,895,861,302,095,392,509,875,936,051,024,325,060,841,057,315,
904,318,361,335,988,221,706,883,030,363,137,969,122,464,799,788,372,503,203,
237,325,416,649,295,328,532,045,382,042,564,961,004,110,244,402,450,801,647,
785,868,485,445,505,445,067,457,193,333,894,703,488,550,443,464,383,527,878,
757,387,952,803,253,476,801,141,405,840,927,348,837,546,403,384,167,819,688,
582,625,176,671,071,128,922,735,778,468,171,615,215,570,952,616,159,405,796,
053,559,292,192,268,859,089,785,393,400,319,275,298,960,772,044,137,312,381,
240,934,986,078,385,433,596,119,122,125,640,596,845,493,948,761,008,513,201,
843,633,529,394,937,767,835,687,103,997,266,452,002,578,486,002,243,832,288,
826,487,391,975,416,825,145,744,645,269,665,641,228,519,689,603,329,193,281,
663,398,162,258,157,639,607,104,571,762,894,016,957,284,919,552,098,487,276,
838,410,225,450,172,472,699,722,927,662,412,144,356,384,974,296,434,996,666,
968,322,720,382,715,496,968,389,293,536,587,761,988,354,812,342,454,203,867,
929,529,714,351,798,272,373,296,527,969,733,678,572,095,601,161,936,722,651,
010,890,036,428,649,631,060,114,505,277,941,928,994,548,766,624,305,220,900,
824,518,447,940,930,620,746,540,343,432,429,176,110,716,626,390,652,267,014,
449,735,314,483,343,963,313,910,387,012,979,661,807,293,538,742,207,490,645,
395,233,499,689,277,591,517,468,258,799,558,540,485,126,344,288,441,101,003,
267,149,582,643,167,791,157,822,725,188,030,727,443,950,065,733,843,848,092,
680,925,367,901,681,295,572,897,236,899,014,294,060,234,090,253,472,673,461,
376,916,781,844,477,782,439,866,056,045,117,054,189,708,224,555,709,244,506,
652,505,186,211,499,465,868,859,880,498,487,266,744,884,876,349,851,694,962,
633,022,631,014,453,747,603,802,920,011,224,200,510,546,883,822,966,541,688,
987,053,998,366,156,782,833,670,962,523,181,579,531,241,308,806,201,654,674,
358,279,411,585,619,491,820,202,949,234,768,780,459,355,548,062,251,246,249,
641,850,839,151,992,975,186,887,824,012,498,820,925,580,245,393,249,827,127,
944,940,347,594,163,756,945,698,407,081,210,131,264,283,579,983,244,635,200,
937,541,169,602,637,473,590,919,227,239,044,228,899,075,821,229,386,307,503,
685,051,930,447,679,736,427,499,256,781,149,410,346,923,379,637,015,732,365,
310,622,493,807,739,204,289,343,341,149,151,636,815,150,654,361,568,002,977,
894,494,728,908,298,158,640,777,466,790,793,767,987,609,945,383,667,782,274,
732,732,364,733,210,168,488,318,121,258,141,988,876,744,188,083,529,781,358,
760,547,141,545,943,267,609,962,345,167,114,796,748,721,003,704,222,047,671,
268,123,348,230,660,561,995,282,780,442,605,879,129,587,927,224,297,147,180,
066,546,802,175,693,768,358,166,666,933,464,964,811,053,966,469,541,627,044,
424,620,175,465,094,202,554,744,559,491,867,241,557,165,325,269,502,822,451,
037,364,694,894,216,129,998,197,572,675,841,616,686,107,058,156,704,436,569,
603,341,864,346,716,499,159,916,704,600,896,103,149,571,799,052,802,818,499,
465,554,665,440,755,281,815,553,777,385,161,245,586,112,338,242,075,719,909,
796,844,642,606,820,943,345,739,164,218,658,660,088,236,906,542,400,431,483,
148,444,773,768,960,033,302,164,320,210,196,585,459,580,710,042,357,591,992,
611,779,078,094,516,161,365,274,419,690,248,263,716,622,667,798,645,275,171,
346,917,744,472,415,046,902,319,177,658,769,964,648,871,013,319,940,076,330,
336,267,353,178,532,138,900,350,803,796,741,089,943,297,036,115,784,775,374,
950,994,866,621,468,236,039,471,945,088,433,673,669,017,444,195,713,699,057,
023,922,487,756,104,160,538,987,107,526,463,907,006,215,626,514,589,273,053,
356,176,162,361,217,029,648,580,324,235,208,963,277,510,135,767,651,378,699,
347,136,944,184,875,093,215,626,506,410,365,502,464,942,020,653,440,652,125,
970,367,881,862,725,865,853,797,181,458,384,791,357,384,256,093,674,586,239,
699,025,015,749,523,454,004,010,842,900,435,611,213,037,830,320,038,656,005,
313,427,312,361,917,648,911,293,086,588,530,126,055,652,415,770,944,529,650,
593,009,842,001,566,212,257,417,669,487,094,342,886,283,630,559,983,461,344,
172,518,678,591,685,960,222,884,449,130,291,531,983,837,328,036,780,885,526,
749,921,255,263,942,033,907,341,595,985,898,249,886,356,443,362,274,748,395,
710,645,824,356,880,463,058,671,049,308,546,100,714,129,079,221,004,677,858,
633,333,185,091,640,155,576,867,605,550,619,569,668,959,945,656,667,167,879,
912,939,356,966,019,983,160,728,405,414,238,510,562,104,124,137,473,042,807,
113,447,431,124,404,539,844,149,935,077,313,191,447,985,589,630,293,207,568,
878,866,617,080,492,035,008,519,023,952,179,464,787,519,930,038,592,549,366,
471,549,191,492,934,619,147,057,498,752,591,859,376,733,061,853,701,511,196,
829,363,484,982,546,178,140,059,914,339,532,268,572,147,840,850,524,442,010,
272,413,804,977,865,548,120,331,085,536,341,107,908,264,830,883,125,815,649,
796,029,539,847,904,778,668,967,407,016,282,739,714,783,185,912,850,335,800,
276,186,693,692,462,133,136,615,666,991,508,099,922,285,875,882,482,579,101,
572,366,272,179,942,883,628,674,693,566,533,563,501,786,206,845,442,617,945,
186,023,286,149,815,885,120,384,837,511,652,288,456,425,806,787,216,526,907,
878,649,605,558,099,210,774,686,586,526,899,210,782,737,414,521,669,437,545,
063,188,423,554,757,771,191,741,980,696,230,956,101,528,162,256,373,642,205,
785,674,954,395,016,063,072,952,058,735,364,456,964,709,725,211,025,086,761,
305,522,260,079,062,226,530,178,382,499,892,595,409,005,697,952,403,799,497,
971,154,432,157,153,746,875,187,340,191,062,105,175,009,054,069,433,333,384,
553,405,577,189,137,267,508,317,023,002,973,164,819,455,242,803,993,515,324,
383,778,143,689,764,140,949,120,206,195,196,143,195,213,254,426,661,527,245,
777,414,632,284,037,665,452,290,367,256,613,638,489,235,286,550,491,618,296,
365,761,053,761,703,068,128,536,552,857,527,022,152,282,949,642,497,460,152,
856,194,968,760,931,156,041,740,640,782,850,159,684,157,516,184,550,806,652,
998,416,575,935,670,192,068,672,230,210,158,735,071,805,224,119,503,675,989,
689,168,170,471,326,788,275,423,382,550,204,274,928,976,854,391,154,641,361,
115,110,503,941,540,572,317,849,068,688,642,416,926,104,508,384,097,976,493,
897,665,107,234,182,709,032,780,249,510,499,240,989,070,907,032,120,265,554,
357,254,290,817,197,841,852,072,603,279,321,124,983,263,819,447,738,190,945,
328,418,968,385,923,637,964,420,852,838,751,191,261,127,854,179,471,036,204,
378,246,902,049,489,025,963,979,154,636,667,478,442,788,534,654,448,729,599,
792,295,609,852,396,517,352,606,126,019,704,005,986,794,964,970,697,107,644,
325,543,259,926,089,967,427,247,883,695,444,975,891,060,180,837,113,745,457,
743,590,048,427,854,694,931,126,172,434,430,989,992,188,354,553,250,607,135,
144,596,438,860,107,518,029,287,981,353,254,722,603,619,551,829,836,776,118,
597,276,021,340,784,797,780,915,259,347,466,248,633,075,321,467,972,692,086,
020,214,558,054,894,236,563,455,785,745,860,045,475,464,119,732,745,458,898,
041,992,147,621,772,176,007,274,803,110,641,480,489,140,510,645,307,355,908,
114,068,098,016,615,770,533,146,762,366,695,374,723,349,983,628,539,598,179,
849,965,094,260,969,516,135,593,204,921,168,261,590,217,604,380,451,078,548,
476,417,445,494,082,418,687,665,062,698,953,311,490,975,376,993,406,409,665,
765,058,790,279,147,250,478,847,538,766,513,937,213,764,434,614,907,687,872,
853,865,171,511,455,129,476,846,142,937,675,042,486,147,300,428,752,473,029,
152,865,507,077,390,503,318,315,851,780,628,114,604,256,880,344,016,691,103,
695,934,269,858,219,649,342,476,458,810,028,408,613,235,559,415,423,899,274,
732,707,554,816,108,046,888,045,611,959,175,377,672,093,668,538,459,803,006,
131,719,059,498,891,247,667,322,507,584,984,074,112,822,804,710,728,645,955,
349,191,417,269,551,846,331,297,055,675,702,399,306,429,857,444,536,561,957,
865,018,781,227,050,835,271,016,148,713,014,110,100,141,092,824,118,564,256,
108,402,716,633,634,809,665,553,287,942,401,783,606,257,817,756,361,649,303,
574,811,851,810,998,018,863,755,868,303,629,091,394,242,749,387,637,028,291,
795,822,676,812,610,236,746,728,075,573,122,892,620,408,542,316,678,314,671,
838,568,721,648,292,234,488,273,232,028,873,584,495,028,206,307,892,414,644,
568,206,937,466,687,347,207,814,536,284,920,559,989,908,820,649,898,221,084,
441,072,597,240,488,044,702,716,715,262,778,801,273,382,302,027,521,368,768,
352,829,584,638,344,859,883,277,307,036,838,050,396,532,816,045,680,031,274,
977,988,066,088,732,051,800,010,604,046,740,965,082,237,463,804,467,691,847,
357,654,431,590,394,002,367,209,960,494,006,153,951,391,898,234,551,505,818,
007,561,971,084,112,167,428,629,602,655,813,595,574,354,834,473,831,939,576,
070,527,595,192,400,875,258,212,463,272,066,953,591,274,854,926,953,486,992,
775,181,224,323,704,579,931,454,153,176,291,334,910,832,985,621,247,174,910,
779,905,317,009,367,827,207,055,424,483,961,987,334,054,036,435,246,303,119,
735,314,866,960,980,645,614,665,533,970,335,370,571,245,209,065,188,732,844,
023,450,608,029,557,088,502,735,937,725,092,163,106,240,747,768,307,232,714,
204,660,097,106,282,792,362,924,051,579,638,711,998,303,853,128,692,825,104,
823,836,468,300,049,160,470,065,705,432,897,753,354,286,839,773,741,630,292,
460,740,841,208,017,461,317,878,240,465,842,188,291,546,427,279,598,566,733,
131,409,361,728,286,591,959,354,301,244,352,789,569,828,271,104,867,018,358,
034,809,738,944,053,700,293,727,507,526,139,218,252,303,057,653,812,298,648,
691,121,279,092,901,476,422,924,571,608,065,668,168,416,920,927,330,704,088,
004,775,920,461,559,377,710,406,621,272,420,664,891,188,071,835,920,045,750,
463,832,252,675,693,952,998,436,766,904,142,419,823,514,763,331,343,634,776,
475,551,958,519,027,491,538,867,371,064,292,665,959,243,631,840,245,756,426,
587,570,554,151,456,963,274,353,693,202,522,340,605,260,525,379,108,032,875,
984,817,322,302,482,281,632,380,957,298,607,870,091,205,573,761,834,158,702,
879,704,896,425,802,336,074,832,499,246,892,600,768,403,908,799,788,019,103,
159,137,369,710,803,502,387,959,969,961,917,522,260,188,908,193,360,256,790,
088,706,903,893,135,687,216,554,987,287,555,830,251,534,806,639,221,428,147,
359,832,283,513,594,136,235,490,425,258,899,485,278,925,326,507,315,886,788,
180,532,292,604,339,751,783,126,026,683,944,392,592,976,622,263,511,673,177,
375,224,901,373,189,515,557,212,428,026,637,846,272,211,278,854,601,488,938,
485,271,448,315,921,288,368,796,561,787,028,336,280,323,383,525,509,264,020,
550,873,033,773,782,673,613,071,132,809,206,853,383,916,047,232,843,268,661,
639,243,405,533,659,252,803,151,756,129,155,883,618,359,801,424,032,638,098,
895,365,669,882,047,845,708,598,461,127,824,664,075,099,233,849,931,717,892,
124,985,976,062,834,388,103,648,893,500,861,037,704,580,934,141,864,384,173,
320,774,338,104,422,102,061,056,275,455,184,816,449,742,407,540,059,020,897,
551,626,399,514,368,093,904,838,580,888,260,003,565,258,652,910,049,880,485,
242,132,196,443,045,712,189,572,475,983,264,318,205,082,386,467,006,875,273,
299,191,930,935,549,383,393,621,051,868,328,066,445,485,227,424,295,644,149,
149,037,380,032,020,239,211,634,900,332,560,602,493,061,804,840,946,684,246,
452,523,558,360,740,989,037,972,301,104,417,181,870,442,267,301,550,725,551,
753,591,307,769,361,589,335,268,890,849,937,680,540,164,753,746,031,825,840,
293,114,655,831,092,216,266,194,830,869,920,841,706,540,179,929,981,773,736,
548,874,814,666,895,416,635,695,244,262,359,351,534,582,837,460,901,674,517,
434,947,861,435,657,451,861,716,486,549,326,485,556,956,935,687,743,658,103,
858,477,724,673,087,235,687,404,860,525,151,231,825,381,618,398,421,574,165,
147,440,658,888,825,395,714,086,582,015,386,503,285,428,333,221,940,071,923,
373,804,368,387,065,660,104,646,625,676,643,311,752,166,906,159,468,553,450,
850,111,972,787,411,702,171,944,647,636,756,610,653,761,484,043,851,123,977,
175,352,146,538,427,163,560,932,143,267,112,855,254,802,838,589,568,049,907,
119,481,754,502,398,806,315,914,796,365,281,223,461,690,084,750,078,211,555,
904,693,784,815,873,022,942,480,083,938,555,578,199,745,596,411,267,247,588,
908,986,079,247,931,172,287,162,854,103,974,548,356,209,374,442,467,092,311,
745,783,058,947,703,040,861,483,016,131,127,934,589,466,388,685,770,554,747,
866,434,046,395,493,659,701,931,909,935,911,734,768,097,971,579,998,346,136,
451,488,730,990,150,403,099,373,415,690,974,674,044,950,974,741,264,472,158,
618,211,449,021,215,461,002,236,082,888,174,954,713,765,524,015,405,027,232,
075,477,811,875,527,379,942,679,068,341,912,056,876,764,385,514,142,565,791,
433,710,456,107,161,187,179,191,409,036,719,410,339,493,694,719,342,695,972,
097,542,028,228,682,459,595,496,370,607,932,431,651,243,664,559,375,075,067,
118,374,490,844,489,278,810,857,644,550,012,357,077,845,253,023,781,541,329,
884,459,689,187,730,144,587,935,672,845,540,262,008,011,189,631,762,860,544,
988,321,921,348,052,447,125,030,436,582,653,104,141,033,156,317,181,380,336,
695,177,312,196,415,154,662,757,627,541,477,341,309,201,405,232,355,775,663,
014,990,492,185,471,791,232,222,243,250,079,454,392,279,639,199,940,076,819,
500,615,856,689,806,956,819,697,735,032,462,913,828,618,092,428,949,816,017,
578,744,179,171,431,610,943,957,600,977,995,842,542,820,118,934,554,688,692,
314,385,784,357,617,203,972,169,152,558,479,261,959,861,443,205,713,133,824,
754,250,203,365,532,864,560,512,472,500,469,180,134,992,171,248,195,952,783,
799,783,517,891,640,964,601,661,220,038,691,195,518,248,300,300,034,498,724,
570,676,815,144,335,958,065,795,677,776,267,091,770,825,482,256,550,521,893,
988,602,615,419,584,423,051,906,900,201,338,125,093,792,006,553,503,632,018,
773,692,538,058,033,602,136,477,107,093,449,578,824,045,646,771,008,190,669,
329,349,679,477,575,979,670,100,101,597,033,781,286,275,539,045,855,997,560,
473,324,654,502,106,040,490,438,213,741,070,580,767,560,804,175,890,558,958,
736,106,726,214,585,667,203,444,581,330,089,888,714,193,662,221,690,903,578,
801,516,390,891,251,759,072,138,370,182,914,622,978,442,633,005,664,216,638,
388,720,808,630,290,042,465,449,810,412,647,823,838,145,910,893,477,012,783,
216,951,644,758,891,932,961,144,838,842,475,329,739,237,081,386,022,852,820,
806,728,940,364,106,509,762,964,392,101,160,574,865,930,627,877,606,400,623,
877,009,297,164,936,007,729,874,544,040,587,359,409,668,241,581,527,166,354,
526,373,377,175,360,294,983,702,606,033,708,339,901,049,553,586,919,273,198,
431,398,964,964,774,492,661,258,969,275,471,663,843,592,457,927,067,134,289,
972,792,806,781,118,350,961,539,398,014,114,041,081,619,417,650,407,246,049,
387,962,711,915,911,021,505,871,126,100,464,753,920,992,261,879,424,169,917,
155,668,154,480,592,773,878,985,772,996,210,314,305,047,384,624,426,457,301,
392,710,348,659,397,588,595,008,934,343,349,803,099,163,319,991,069,132,209,
168,188,283,067,019,035,818,742,613,414,375,167,555,816,178,734,467,169,910,
375,126,440,509,296,427,132,097,529,909,040,530,322,222,575,678,268,704,327,
795,377,826,980,414,561,887,345,227,131,262,496,988,934,524,115,454,310,335,
291,614,777,018,887,246,068,902,283,599,810,107,578,235,170,617,019,037,287,
481,787,025,570,682,680,372,731,507,290,991,871,934,784,000,117,481,807,074,
825,034,886,922,791,057,932,269,773,298,875,218,505,740,001,598,815,001,596,
136,412,115,679,811,006,545,459,443,926,721,398,998,104,705,207,915,542,339,
053,349,260,851,454,740,517,358,921,637,519,099,629,024,807,391,126,532,452,
808,666,869,089,038,186,125,834,915,596,420,491,878,180,728,486,018,748,954,
142,501,716,193,995,430,025,092,811,809,881,511,722,686,430,497,899,025,793,
675,316,930,773,090,267,300,020,807,329,050,588,946,216,063,899,229,763,041,
536,637,378,750,083,856,467,451,589,446,881,602,701,390,814,928,186,011,484,
647,846,272,264,870,254,167,311,071,609,368,392,028,518,697,686,591,057,303,
503,809,253,862,958,476,151,386,428,209,059,421,052,977,133,842,873,087,887,
735,512,834,931,338,638,730,883,888,532,760,047,881,612,809,662,231,026,242,
916,488,314,315,312,312,416,875,376,285,621,473,814,086,019,200,323,872,669,
787,310,092,019,081,253,503,986,049,268,682,770,597,991,594,785,054,512,715,
389,347,344,264,796,475,472,151,539,426,915,734,430,261,665,778,397,038,831,
901,528,581,591,362,928,704,344,808,292,939,254,127,081,108,405,263,966,290,
588,394,303,258,830,971,544,510,083,334,554,844,326,013,316,213,525,323,590,
500,834,434,234,257,800,989,370,175,583,452,689,920,577,054,997,067,021,327,
732,796,904,406,380,987,505,335,070,936,291,326,514,920,039,510,341,119,850,
091,681,536,961,382,468,573,738,563,613,750,405,388,824,064,469,785,306,005,
840,813,870,818,665,280,647,567,787,431,622,367,111,866,783,378,383,854,739,
017,184,169,218,818,504,118,316,873,121,580,211,243,318,953,284,050,187,520,
421,706,311,735,093,386,400,994,453,528,054,788,267,073,865,540,085,928,411,
482,447,397,837,176,771,924,788,846,293,095,530,221,498,259,509,491,041,678,
161,411,122,318,638,672,434,118,258,224,747,062,154,266,298,833,658,924,305,
523,492,000,069,669,898,663,632,832,889,957,563,209,851,350,596,601,492,830,
786,651,890,678,052,927,003,698,742,872,398,798,601,442,943,712,939,882,713,
031,886,339,656,401,931,967,103,529,858,221,200,724,550,197,581,849,285,162,
106,550,015,583,149,227,967,586,653,201,238,626,288,740,491,443,116,039,895,
957,237,651,802,653,217,825,875,587,188,297,184,351,890,415,080,922,192,221,
847,752,658,539,875,135,625,053,656,376,708,858,778,037,440,030,497,156,974,
877,396,610,260,657,662,222,111,010,500,548,208,545,453,380,202,731,218,874,
565,994,456,424,279,263,111,335,665,853,815,511,529,704,804,310,032,743,729,
621,022,707,455,641,945,474,460,066,777,965,197,304,224,861,810,130,272,894,
340,188,003,018,562,271,701,526,220,702,241,393,350,583,174,520,758,000,149,
619,542,075,533,964,182,968,177,786,055,366,634,665,657,902,319,329,158,143,
859,829,291,416,771,337,867,038,031,709,076,560,121,310,071,299,636,944,204,
949,473,044,971,418,424,470,287,659,852,921,805,434,590,998,614,327,852,059,
311,032,915,053,431,928,625,310,866,683,596,229,815,577,867,525,622,789,774,
086,276,000,166,429,424,479,696,615,691,695,997,635,715,871,400,081,333,786,
901,819,049,421,026,296,907,631,756,271,098,509,805,067,865,064,632,901,038,
411,594,111,106,813,962,635,069,165,904,112,740,610,157,128,486,994,268,743,
198,932,964,049,759,102,470,059,358,412,573,518,994,298,499,179,674,811,963,
375,903,647,327,024,625,827,730,442,607,595,305,066,592,275,640,808,378,704,
668,688,681,579,196,405,703,090,977,092,332,888,635,748,983,609,087,665,568,
545,535,375,661,814,678,976,021,522,679,379,966,649,645,454,515,354,189,112,
668,698,014,571,106,193,819,574,639,130,104,034,484,332,684,222,464,789,009,
150,644,078,392,267,663,078,087,681,336,366,279,608,304,157,445,615,009,098,
417,353,277,015,279,891,816,128,822,062,793,477,244,406,036,971,098,643,213,
222,385,866,689,740,875,997,735,382,470,604,586,070,982,490,818,260,047,708,
914,871,654,327,207,350,281,055,132,540,134,562,959,304,790,501,949,230,848,
462,404,158,651,486,333,113,381,179,446,390,695,163,808,423,016,488,690,377,
446,499,890,885,633,123,248,587,326,260,123,831,037,738,741,990,243,839,375,
774,942,835,970,133,227,080,643,431,409,905,083,530,053,752,979,005,182,685,
737,146,716,259,255,288,684,347,303,617,501,291,954,926,024,462,122,111,453,
252,741,097,064,925,348,709,139,198,545,129,308,430,860,901,175,888,278,527,
787,429,914,198,717,935,235,829,990,866,500,155,615,074,978,038,403,974,929,
702,260,590,736,603,047,202,859,975,544,193,895,106,864,604,153,966,292,834,
061,360,867,801,838,996,020,188,163,477,009,202,391,320,794,086,968,342,303,
704,110,184,780,322,896,650,486,485,348,396,163,366,263,024,926,553,969,354,
225,276,494,260,885,900,408,252,651,833,792,779,926,822,356,166,925,009,287,
961,733,625,347,272,765,926,309,493,711,950,430,040,168,869,887,359,137,650,
603,030,383,387,791,702,599,860,678,547,797,219,468,017,038,505,953,316,966,
363,050,260,051,295,253,097,219,715,994,069,536,118,677,494,624,273,975,848,
988,035,552,231,202,968,361,983,689,385,491,120,559,600,120,287,864,565,547,
685,481,062,288,230,248,742,428,357,997,975,194,583,112,456,158,663,115,363,
334,493,673,956,485,352,283,363,810,009,086,284,125,165,040,922,182,592,362,
717,481,929,478,119,194,897,012,559,842,967,886,983,294,711,282,179,622,866,
595,086,760,255,744,056,194,994,029,287,541,351,666,823,857,128,075,932,601,
449,622,942,382,880,085,554,544,628,103,159,253,858,281,066,831,576,248,412,
905,610,182,136,187,141,290,159,650,158,757,483,417,200,431,848,838,326,195,
950,283,535,238,286,571,539,702,530,977,065,048,314,006,268,182,308,226,385,
416,920,809,296,705,578,803,540,930,947,394,938,877,175,407,593,538,788,166,
042,522,317,318,944,890,388,634,154,529,092,970,823,078,576,160,371,604,400,
801,443,070,769,346,063,819,113,580,175,776,565,734,864,101,145,694,996,634,
550,361,951,588,912,054,193,283,233,502,980,742,521,791,498,417,049,675,222,
113,208,726,483,651,456,977,263,767,293,408,529,832,696,176,756,268,457,663,
391,765,232,838,619,525,240,465,817,326,082,326,627,842,500,363,165,335,278,
243,068,632,186,002,884,162,553,512,139,017,270,360,366,689,152,621,926,928,
768,360,540,551,229,956,795,772,027,417,593,265,102,746,516,479,584,929,627,
915,498,017,069,289,036,097,673,003,510,723,105,073,955,727,438,755,471,085,
302,085,933,326,236,354,398,296,502,265,350,049,141,026,072,678,914,929,295,
215,609,030,982,664,794,515,238,744,037,170,887,369,361,955,302,814,224,160,
056,448,309,539,600,216,430,339,406,225,118,164,907,824,702,308,869,075,477,
758,674,637,073,300,813,735,573,206,571,029,487,546,202,234,410,608,655,672,
227,548,097,399,195,356,616,559,535,380,323,520,113,392,438,354,811,193,440,
448,145,803,093,195,812,154,884,575,278,958,781,331,908,297,022,745,386,483,
177,502,172,256,623,982,424,397,789,785,121,760,307,529,958,077,399,892,244,
859,378,791,906,415,870,028,834,557,149,686,018,534,976,027,625,201,141,595,
292,341,788,982,974,617,064,221,605,027,430,656,017,546,295,908,716,143,892,
686,982,489,121,216,437,726,950,842,779,315,208,648,183,022,386,693,281,318,
465,022,137,788,975,340,189,132,569,391,687,776,760,464,459,055,252,766,902,
957,879,514,701,792,617,483,677,054,891,848,844,314,030,439,911,986,432,799,
055,479,009,668,194,536,789,897,384,738,074,969,487,104,621,612,975,577,348,
807,229,171,070,885,932,492,151,036,566,473,193,651,803,178,107,784,189,191,
358,715,717,519,486,174,856,216,260,292,433,135,685,112,160,926,687,021,457,
862,478,302,717,976,311,120,207,990,159,553,940,147,215,177,395,499,462,002,
723,726,007,643,747,207,458,115,277,916,102,321,089,905,928,622,483,981,170,
329,880,671,201,046,167,730,597,248,414,082,433,220,793,204,852,092,761,866,
001,423,316,568,800,467,192,530,579,931,364,400,312,311,678,842,005,655,716,
544,366,237,778,243,301,033,340,323,263,947,636,783,794,803,424,534,574,181,
578,151,004,781,142,254,906,820,702,990,230,004,658,342,421,035,069,841,494,
936,096,482,270,323,894,235,018,288,461,689,656,401,333,770,425,627,314,496,
919,354,702,432,130,725,212,401,732,594,186,839,381,039,789,020,832,046,714,
872,729,481,517,718,162,035,080,783,245,666,207,626,433,393,226,579,929,766,
618,711,343,935,619,385,218,269,640,242,083,442,385,669,591,713,884,344,813,
407,132,121,262,592,563,345,322,115,811,666,478,843,401,501,416,808,916,796,
628,873,650,018,063,302,531,390,889,938,809,685,507,095,897,321,747,452,044,
838,602,964,550,371,658,780,082,782,519,844,038,658,524,217,008,627,964,880,
150,223,965,392,388,296,656,124,433,363,684,010,945,717,442,124,680,412,740,
690,600,935,221,128,303,764,776,898,628,017,393,369,193,537,876,234,231,689,
551,333,166,119,716,210,197,373,457,673,057,431,152,029,939,466,300,673,209,
475,231,753,930,181,424,999,081,920,576,249,303,127,540,598,004,227,704,390,
507,030,143,905,132,217,811,218,202,851,215,668,823,536,247,644,519,114,708,
758,047,535,321,323,131,217,842,962,990,645,490,135,641,787,801,755,393,200,
545,266,635,817,828,317,459,034,650,488,397,228,574,032,940,785,613,911,752,
135,042,148,502,445,933,353,009,889,328,343,175,325,060,066,199,664,184,119,
956,898,182,569,474,772,424,220,185,357,610,799,641,267,585,237,472,548,265,
970,214,505,438,384,310,067,756,212,808,380,519,783,829,410,430,356,109,516,
011,940,419,107,642,246,138,864,497,460,205,073,221,680,271,289,010,978,708,
209,610,752,814,522,037,289,719,619,167,453,056,922,543,411,536,402,685,007,
457,739,509,273,607,827,862,213,507,128,824,032,371,841,410,697,964,884,945,
908,645,645,149,421,341,573,706,896,241,728,356,124,956,681,334,057,597,501,
106,300,304,863,933,080,364,966,060,160,890,314,353,953,038,289,544,210,842,
314,937,350,459,199,408,538,918,075,143,368,463,745,805,686,947,441,416,039,
995,458,538,577,539,162,829,708,921,611,935,680,048,317,594,368,733,445,632,
984,035,690,174,331,614,335,591,654,143,486,765,035,991,158,278,286,227,488,
969,337,678,197,167,730,557,198,347,825,482,374,790,155,455,396,021,022,496,
748,313,188,465,780,755,648,749,751,647,944,753,899,666,436,616,625,451,022,
872,142,922,757,310,234,809,124,574,884,868,053,109,175,708,859,996,618,937,
343,621,140,719,016,144,559,253,121,025,160,764,138,720,983,956,692,763,351,
946,831,314,373,057,872,934,634,780,359,305,483,267,348,593,003,663,871,093,
216,397,249,888,126,953,724,968,942,743,891,421,787,408,538,486,618,300,588,
035,141,826,774,826,413,230,800,200,803,440,499,015,767,251,830,066,935,774,
987,249,102,701,476,406,731,449,538,732,151,503,041,675,050,685,516,329,575,
909,492,216,833,890,094,317,748,940,147,924,662,489,609,459,476,725,055,153,
849,849,090,111,350,776,770,356,456,996,679,806,214,439,581,163,221,091,133,
851,707,688,815,788,983,613,207,058,808,907,140,985,945,642,667,833,020,573,
474,021,130,614,275,047,192,945,891,337,109,127,566,827,229,102,983,527,575,
837,164,438,837,386,341,774,113,171,879,929,231,624,118,505,641,540,059,670,
791,403,287,581,503,226,388,319,850,163,847,398,038,235,479,644,945,240,141,
111,897,869,084,337,008,752,710,333,870,625,452,206,015,053,575,432,491,014,
720,819,854,045,994,037,400,261,872,705,155,431,456,494,388,884,895,437,015,
584,608,634,451,649,564,841,555,420,098,393,845,777,486,245,712,514,100,072,
688,257,550,616,479,791,424,509,664,693,005,428,724,909,639,842,964,782,224,
969,734,970,227,845,955,960,059,831,318,259,631,333,234,474,358,259,114,922,
178,910,570,087,553,347,826,676,244,577,286,477,422,131,138,246,061,689,604,
726,135,796,251,352,592,920,107,611,800,016,723,695,254,556,016,168,903,250,
373,011,097,061,623,009,215,891,772,738,390,131,931,398,951,353,820,581,700,
721,098,125,002,922,555,804,640,931,009,779,235,819,843,440,304,865,398,748,
011,752,807,078,651,943,471,341,709,455,255,017,435,689,109,004,940,803,500,
938,483,835,511,796,986,972,481,986,911,409,882,832,974,023,362,594,783,659,
173,732,490,979,459,671,219,143,205,369,480,539,014,356,288,721,474,361,967,
735,401,862,512,151,323,279,176,705,234,135,182,529,203,898,272,423,056,429,
092,894,063,970,988,184,037,179,600,325,119,316,691,094,851,543,766,595,730,
523,076,168,231,960,007,198,439,448,202,357,049,652,549,483,159,625,822,152,
482,232,410,778,384,850,723,257,119,945,054,151,013,865,595,294,768,039,173,
903,779,656,724,914,218,323,024,914,095,236,645,196,023,850,199,001,532,556,
016,963,134,405,028,812,674,311,487,276,973,117,899,732,162,995,775,956,497,
613,688,156,484,775,319,970,421,814,030,907,653,967,599,277,958,787,790,482,
905,833,888,193,501,438,559,209,864,186,263,670,540,975,973,388,056,510,996,
930,922,011,252,264,619,350,160,175,869,202,871,143,267,580,727,878,710,026,
990,096,208,145,871,609,391,465,304,643,679,736,107,832,012,875,312,870,565,
834,617,846,999,220,862,050,778,788,130,391,428,928,380,979,824,808,347,432,
868,991,527,738,930,356,917,378,151,557,472,928,815,606,745,135,042,790,280,
977,093,463,587,653,183,449,896,728,331,040,841,608,253,101,673,768,810,198,
746,001,999,036,614,047,392,817,529,737,593,880,343,544,217,495,646,880,592,
597,346,686,769,125,878,059,921,754,149,233,286,866,141,085,910,827,294,721,
437,214,990,693,653,301,719,587,457,157,335,321,963,824,395,671,421,150,106,
330,241,643,407,646,682,990,503,074,139,167,169,413,816,537,409,149,376,406,
473,357,381,862,900,378,733,618,742,564,049,161,191,579,180,049,968,242,613,
904,141,687,611,778,930,045,039,700,639,809,160,895,032,191,772,389,477,688,
308,776,232,384,603,182,729,257,784,881,971,594,869,991,110,501,029,015,457,
746,734,993,986,743,772,684,857,182,340,407,981,226,625,279,538,734,224,249,
687,430,870,705,915,839,211,883,636,928,185,455,351,128,668,975,910,633,187,
565,566,136,485,404,036,576,629,659,486,730,998,680,876,815,716,042,216,677,
427,851,339,652,267,614,898,836,662,223,738,722,179,073,928,459,523,555,757,
897,858,953,804,691,260,823,181,476,346,637,308,914,602,551,817,856,225,643,
097,543,003,609,929,187,511,061,394,140,163,264,980,761,094,723,211,680,379,
613,331,092,630,964,492,873,934,649,000,975,145,394,307,213,326,183,937,292,
334,894,812,438,008,341,282,341,170,622,754,825,467,724,098,312,401,249,553,
138,724,652,507,359,538,704,255,136,456,321,394,445,251,726,523,102,668,061,
907,266,213,521,283,541,783,083,923,526,094,178,147,402,401,515,136,239,598,
288,031,396,547,785,004,912,265,868,321,978,530,250,160,341,331,145,744,534,
746,121,391,533,701,621,327,176,748,527,018,779,405,041,537,896,053,417,371,
889,459,773,125,883,974,235,326,567,127,379,949,396,525,744,249,345,017,901,
491,421,603,421,282,478,671,690,704,201,193,328,805,108,738,602,647,966,515,
194,974,406,015,621,376,854,514,767,737,952,115,359,012,596,062,123,802,997,
014,807,234,654,900,648,827,361,707,455,089,489,549,375,013,948,221,086,936,
525,151,129,939,772,688,160,472,254,480,761,019,152,477,463,698,758,142,616,
249,663,634,680,429,900,515,581,361,337,583,182,700,911,198,005,797,325,073,
655,642,183,475,204,113,040,588,227,429,110,417,669,156,448,011,471,170,160,
775,396,601,785,484,405,202,757,309,885,013,920,037,419,220,656,229,286,646,
207,749,894,570,922,081,760,368,460,731,741,499,097,313,745,313,332,373,535,
623,844,290,547,876,350,846,899,305,324,440,983,112,162,209,705,579,764,894,
721,114,478,520,843,080,845,025,125,402,428,829,096,472,088,366,350,383,222,
207,142,768,024,340,231,245,974,323,742,366,308,985,642,920,061,913,698,203,
486,438,474,837,202,417,176,278,939,693,541,857,466,020,160,933,595,535,108,
412,187,474,153,430,165,634,898,131,739,681,056,420,026,263,993,578,876,610,
051,956,309,459,294,303,074,895,283,517,836,532,945,884,918,338,596,616,764,
132,976,593,664,861,918,931,153,942,311,284,449,267,026,175,718,111,998,307,
075,587,141,487,779,097,786,234,490,100,881,213,539,024,662,773,044,528,379,
198,043,440,131,038,120,711,069,217,244,009,302,782,115,570,424,063,492,693,
545,572,264,111,684,621,900,636,320,525,411,141,705,069,185,826,120,889,849,
007,586,548,808,682,296,070,968,308,619,654,285,721,648,102,539,596,845,395,
889,695,491,645,063,916,270,280,521,537,592,043,478,957,331,932,153,754,603,
752,699,542,426,192,830,945,523,709,770,998,846,455,348,793,600,595,957,627,
491,557,204,034,259,654,608,085,374,275,643,474,788,209,147,985,431,579,813,
679,185,484,113,504,608,280,500,814,048,997,642,559,821,815,626,770,529,616,
864,552,720,407,093,611,880,952,544,972,050,885,035,904,639,204,192,793,579,
253,150,746,206,591,342,317,210,801,134,823,441,841,390,489,263,710,075,307,
857,765,689,428,549,264,033,763,050,309,244,135,083,585,407,917,126,844,323,
195,115,393,225,415,819,337,071,575,325,570,609,204,423,497,103,975,794,013,
996,827,022,098,586,518,795,545,715,345,729,178,221,773,757,634,680,557,196,
935,437,199,193,551,260,068,136,136,255,632,600,612,708,634,230,697,827,313,
953,790,379,821,084,903,094,684,593,796,347,244,095,656,999,002,220,472,509,
850,083,175,380,272,758,980,515,744,443,744,021,863,929,242,949,039,112,307,
283,629,775,077,532,036,011,181,335,932,321,475,979,405,578,191,813,896,758,
070,696,160,611,832,507,038,766,128,520,358,072,270,210,384,288,380,738,366,
767,090,540,311,444,887,699,423,046,802,190,891,883,264,026,640,471,109,970,
571,846,029,890,637,807,636,040,221,263,130,467,115,730,774,860,754,799,127,
640,678,655,479,510,047,158,344,445,456,217,734,527,168,672,413,945,368,639,
238,293,596,158,830,994,711,703,710,830,150,663,713,294,909,892,472,273,200,
197,874,756,090,728,619,023,973,212,144,898,965,162,176,821,718,545,308,053,
369,701,491,554,186,500,442,617,410,510,876,522,388,726,942,595,044,680,757,
558,028,610,839,584,901,163,503,892,519,400,819,430,441,104,100,739,733,998,
256,794,375,476,650,102,568,471,637,360,309,741,079,202,261,207,292,586,700,
654,374,658,541,975,833,255,300,601,029,386,105,825,536,958,548,618,938,804,
891,874,062,260,280,777,962,554,410,291,277,523,660,200,936,462,527,409,270,
821,197,886,242,681,375,402,422,399,432,842,524,954,940,471,760,195,893,068,
972,095,570,039,228,201,230,405,294,588,320,836,413,727,787,082,375,799,544,
801,412,072,819,741,474,385,404,510,817,561,271,120,482,192,579,335,372,969,
219,349,237,731,523,196,023,997,171,567,715,886,138,891,477,566,646,027,251,
298,052,836,393,090,516,915,955,587,791,706,591,190,565,258,723,624,652,283,
308,186,138,161,035,054,170,760,835,690,419,786,128,200,193,709,241,061,798,
777,561,853,145,569,463,160,235,894,818,980,968,247,248,669,852,977,418,341,
327,546,993,267,214,153,796,687,072,043,972,207,644,538,741,106,603,960,966,
852,496,206,655,699,373,345,224,479,150,722,279,742,726,644,042,646,846,105,
162,554,187,967,260,378,857,837,835,355,368,692,566,583,816,881,100,107,217,
139,628,510,707,028,260,420,708,654,700,321,774,835,212,440,616,367,030,538,
507,430,044,362,400,264,348,403,507,482,151,931,318,252,438,441,651,388,131,
150,628,652,310,650,643,138,952,823,494,000,055,713,348,496,858,941,264,345,
810,122,412,954,724,577,744,933,914,605,362,557,745,870,783,405,158,038,855,
800,691,855,589,870,934,511,553,199,582,387,709,763,183,137,343,629,990,676,
923,528,228,685,455,545,691,647,483,415,889,770,976,033,854,374,552,775,006,
146,995,032,021,543,624,468,635,978,983,773,200,587,595,754,120,722,680,258,
643,357,139,101,293,599,107,934,469,815,985,129,424,539,611,714,649,911,375,
534,925,033,105,958,448,589,506,317,731,914,974,225,658,603,091,854,178,923,
075,921,531,591,120,402,952,136,592,212,838,339,030,791,285,608,567,546,287,
494,465,848,084,918,231,879,470,079,711,307,125,073,882,470,363,692,969,599,
720,682,017,545,649,029,632,514,617,154,467,243,133,503,877,048,494,478,545,
815,609,345,683,829,850,116,188,345,611,552,570,391,700,344,269,220,820,165,
929,897,052,775,759,418,606,289,416,569,759,849,322,111,121,337,596,449,973,
574,890,837,750,868,431,041,493,644,136,292,996,231,841,127,650,825,979,038,
562,851,372,481,838,310,865,847,823,080,402,188,164,849,267,811,108,203,645,
541,778,604,315,831,486,435,199,860,183,445,917,084,430,197,895,925,898,521,
100,069,907,563,859,975,279,034,118,311,375,916,552,839,368,108,365,178,766,
029,405,598,849,721,225,964,646,254,607,336,021,415,363,901,321,668,637,649,
510,446,870,138,798,276,733,883,334,977,943,564,387,714,927,522,845,152,645,
815,068,290,577,439,429,771,450,210,331,018,136,393,915,029,965,765,241,045,
997,069,464,519,194,475,712,504,333,087,480,206,395,342,704,412,618,791,208,
598,418,152,809,249,709,758,310,119,851,391,790,111,986,829,381,899,997,108,
763,826,950,929,706,832,119,420,627,879,704,093,670,458,967,292,226,333,720,
516,547,242,547,407,692,821,268,649,522,947,874,777,130,222,182,379,030,850,
575,222,163,935,846,206,049,362,779,329,990,657,985,348,321,055,544,710,550,
724,106,677,064,044,283,989,770,558,060,994,005,916,295,163,378,532,869,664,
950,246,757,960,224,273,791,673,383,038,186,225,874,811,935,548,241,987,891,
611,951,418,251,067,689,165,106,625,222,277,843,603,615,707,296,506,669,083,
299,402,020,848,877,966,227,588,448,070,558,682,004,204,745,745,552,317,504,
548,833,133,392,861,939,818,903,149,003,557,197,911,591,387,971,757,477,908,
357,190,826,878,784,197,587,730,383,219,032,263,029,235,973,073,420,824,870,
253,370,173,777,637,999,757,536,565,533,496,531,210,796,327,383,407,176,751,
428,920,885,644,292,966,954,318,868,066,507,785,855,019,040,433,210,840,906,
885,539,924,834,212,704,929,122,633,383,337,601,700,847,653,046,940,032,223,
173,736,497,821,968,066,158,043,039,669,261,226,834,467,019,312,090,036,767,
277,609,177,147,150,039,809,769,364,703,142,219,991,980,182,815,481,517,213,
102,206,940,351,480,143,542,854,559,007,534,914,730,472,184,054,708,418,777,
260,659,387,646,705,705,297,124,010,930,134,839,047,370,444,334,671,001,134,
110,779,243,630,598,340,890,141,013,332,730,449,231,397,459,798,380,833,588,
033,486,492,353,205,556,171,372,694,989,931,440,013,735,084,576,069,057,956,
757,994,211,081,726,940,913,599,313,602,069,944,158,728,196,196,312,231,925,
050,477,278,616,799,027,870,694,281,061,953,201,704,086,121,190,215,013,395,
837,055,280,731,258,828,428,308,766,671,330,733,945,559,434,340,386,675,322,
570,399,457,603,565,280,761,329,213,593,667,165,212,502,933,195,605,219,031,
701,717,678,577,463,846,732,211,816,704,181,297,650,294,473,010,729,044,813,
992,476,605,514,476,044,560,395,134,198,482,843,238,536,302,157,656,865,051,
667,373,346,748,680,319,455,912,836,707,764,915,650,724,397,652,490,230,784,
912,663,055,328,788,703,144,324,053,448,096,656,101,845,349,154,381,802,385,
560,317,294,664,907,243,368,571,533,446,408,079,698,577,267,604,157,554,693,
215,094,125,127,805,035,728,236,228,650,525,629,090,776,570,928,672,983,944,
572,472,296,337,641,137,361,645,283,478,072,555,778,720,939,390,460,664,943,
898,253,265,639,787,117,186,608,069,214,595,306,657,498,306,160,064,997,288,
779,729,477,443,405,979,002,198,604,695,802,885,035,457,980,761,982,411,101,
137,320,531,937,132,341,630,486,261,998,764,466,572,010,569,655,688,100,034,
497,647,503,114,077,699,142,121,369,218,176,861,412,195,929,402,716,951,472,
234,876,637,547,311,750,405,636,863,746,599,014,000,128,628,891,927,488,805,
223,846,434,877,415,505,553,860,951,271,240,329,477,943,622,138,611,572,011,
805,107,154,256,340,764,216,203,460,926,394,601,908,152,014,408,105,427,017,
061,640,507,227,351,655,477,076,157,857,108,404,296,315,995,800,044,761,454,
896,404,401,233,262,181,532,965,835,727,010,557,990,617,215,838,473,772,470,
720,621,298,179,936,746,857,682,803,859,454,827,520,631,364,490,893,615,945,
339,502,794,724,706,081,875,534,857,475,120,861,980,065,167,382,082,093,380,
533,318,208,374,954,611,002,794,953,804,082,187,516,619,391,506,435,793,488,
932,803,631,553,553,226,251,059,454,561,974,687,059,572,124,927,549,698,519,
000,111,803,113,783,354,595,653,266,824,596,702,141,464,103,623,223,684,278,
801,113,230,908,806,241,929,229,143,838,451,510,596,245,021,988,842,127,581,
329,051,829,479,377,638,186,254,830,601,536,755,904,668,712,019,106,284,404,
967,021,865,091,686,729,395,541,674,509,151,776,923,181,414,392,311,171,163,
134,082,458,061,566,259,680,815,442,039,860,559,474,437,836,187,778,143,941,
389,075,180,230,405,578,794,486,774,110,093,935,069,756,849,501,139,781,473,
740,412,786,981,801,826,907,441,582,925,138,997,494,940,082,502,429,750,289,
668,531,435,382,001,468,436,526,665,166,651,169,995,034,199,423,373,834,527,
672,680,907,586,958,703,062,587,328,518,789,150,692,862,470,910,897,854,765,
383,951,899,968,974,983,194,339,349,288,064,718,123,621,649,675,999,395,291,
057,481,187,491,586,968,350,767,894,327,752,656,560,287,173,363,728,363,544,
621,828,545,134,159,855,994,248,746,697,106,819,421,219,624,218,870,736,934,
478,417,260,903,592,599,130,022,952,638,782,111,617,330,544,818,330,989,192,
319,357,055,608,084,263,842,526,150,657,964,853,686,809,631,574,605,650,558,
416,191,992,101,329,042,398,691,266,388,596,269,525,424,397,186,992,385,922,
260,549,446,100,943,847,495,367,296,975,076,235,982,497,174,488,393,265,845,
747,780,263,376,823,599,581,837,171,969,468,788,444,991,369,108,940,493,884,
701,085,846,082,195,962,956,091,174,930,370,585,381,469,797,033,919,304,776,
523,800,294,668,596,478,488,460,246,445,049,041,673,561,915,540,550,008,489,
717,094,893,735,556,338,150,318,474,708,451,348,593,994,199,461,271,198,082,
094,464,970,500,435,070,054,735,052,731,464,052,163,662,387,511,234,053,796,
396,222,533,910,761,310,735,790,701,408,569,530,305,742,170,258,955,968,841,
497,513,784,142,644,994,748,133,683,772,806,358,130,421,426,084,864,118,966,
882,573,840,409,149,428,714,586,143,090,341,295,298,688,574,114,913,323,605,
507,398,195,820,695,294,823,247,640,902,324,255,114,171,015,922,051,078,108,
333,215,874,855,564,910,272,045,970,095,318,775,696,789,901,721,784,027,110,
926,765,003,968,862,917,489,638,021,886,691,161,994,745,166,639,093,481,577,
343,302,911,809,288,524,467,625,650,793,652,693,609,714,451,104,929,228,040,
684,079,956,653,778,006,535,722,802,518,975,953,739,008,971,414,657,176,319,
016,809,213,473,614,892,517,723,146,895,307,771,388,353,107,347,448,649,276,
491,816,560,194,226,233,385,491,092,916,342,257,094,445,313,334,070,022,995,
348,029,188,421,772,600,557,266,953,321,398,626,564,383,800,332,751,060,593,
407,403,460,483,149,657,108,387,754,397,439,432,558,638,554,070,015,430,179,
402,472,246,772,030,254,217,544,552,954,570,228,799,119,663,390,496,966,723,
128,956,808,128,393,699,131,631,804,158,823,773,747,407,753,782,250,811,467,
599,075,894,850,800,922,530,370,423,383,855,512,743,575,606,403,401,976,968,
222,057,721,902,609,695,388,405,567,401,259,232,556,393,500,910,521,987,263,
981,935,822,793,148,421,438,232,977,605,938,980,624,833,945,939,254,891,358,
574,505,217,448,452,960,691,304,102,048,264,038,509,220,990,647,299,937,859,
560,629,875,964,034,630,869,864,290,067,910,294,051,977,300,820,487,169,603,
160,842,107,475,842,952,145,362,737,808,347,611,027,037,669,712,187,781,692,
556,365,926,564,286,345,132,068,299,992,124,726,850,278,201,492,080,076,441,
248,051,570,254,064,782,129,510,737,901,584,141,992,006,942,781,963,887,287,
884,146,140,838,904,533,163,132,464,301,295,376,214,933,860,666,374,170,806,
241,299,443,706,326,380,094,361,259,859,057,278,958,720,480,033,835,095,241,
987,797,303,331,552,732,151,563,277,250,446,877,497,823,371,774,175,333,062,
433,626,694,882,572,986,500,951,720,625,640,879,277,527,111,592,598,397,728,
039,027,246,084,689,385,708,913,538,100,559,449,884,353,646,441,236,498,311,
836,948,182,637,289,583,685,557,309,871,437,906,479,174,446,919,077,602,426,
637,476,374,281,891,184,885,658,942,958,812,020,112,477,490,274,793,338,681,
317,539,360,721,034,413,570,302,033,151,729,764,381,860,928,766,066,986,792,
459,532,347,066,327,323,497,370,571,306,148,113,747,639,417,958,235,942,733,
819,530,468,331,165,205,954,114,003,567,365,722,033,197,496,789,716,668,730,
223,116,781,989,941,584,636,287,273,066,671,932,701,832,813,516,689,559,442,
426,247,237,714,776,782,911,632,097,397,740,969,338,942,348,863,373,717,359,
639,658,332,292,214,819,156,817,787,346,656,305,858,738,605,729,188,300,462,
449,145,368,808,383,937,356,588,856,027,278,215,336,038,567,540,020,751,048,
733,064,787,826,229,227,637,528,516,879,231,590,584,314,657,991,554,432,726,
735,227,763,966,935,466,531,369,944,284,766,588,261,148,804,440,679,517,182,
125,563,641,232,649,697,940,064,485,264,882,631,245,165,776,285,317,283,341,
613,515,144,525,425,086,113,712,008,569,546,926,351,925,192,754,835,611,166,
874,879,527,300,590,445,837,780,056,443,300,221,996,228,290,341,343,879,884,
636,806,112,623,496,428,215,524,292,862,497,628,380,866,795,613,762,901,338,
957,814,047,714,289,490,932,175,027,895,123,014,354,681,198,006,252,413,022,
073,782,983,212,872,009,340,015,895,531,641,944,848,569,464,870,555,390,680,
605,415,876,019,443,601,263,492,269,911,995,510,113,444,178,760,059,181,239,
922,832,148,621,592,089,786,362,163,710,428,058,584,260,331,292,866,472,731,
893,784,852,763,709,961,741,106,768,313,762,942,500,819,892,122,406,776,856,
307,134,266,689,974,953,194,794,285,509,458,218,478,763,419,659,629,943,287,
941,515,091,212,187,506,096,874,512,325,400,121,925,202,152,578,074,022,174,
926,453,715,342,293,003,369,657,472,278,772,001,500,660,913,336,379,440,803,
613,227,251,416,224,224,454,553,053,960,489,281,450,088,839,684,254,946,382,
229,572,885,977,582,181,348,170,081,916,991,080,944,342,100,148,673,270,188,
930,064,362,796,654,551,177,765,490,378,247,352,111,536,058,211,067,267,300,
468,159,439,389,919,719,139,511,092,212,483,142,982,304,894,857,233,133,040,
774,882,735,552,973,022,836,391,609,631,030,856,385,445,975,848,448,723,787,
175,073,410,601,058,797,184,187,215,395,041,328,649,175,540,947,919,620,642,
476,172,175,189,641,368,860,301,404,872,618,111,153,688,472,785,823,060,593,
762,663,023,516,600,420,975,115,206,368,370,874,913,045,468,803,020,004,726,
906,810,859,729,967,007,751,272,158,472,766,584,735,127,440,767,510,323,103,
881,382,125,009,145,836,763,893,203,925,909,467,152,994,892,058,894,711,157,
772,667,175,670,712,243,939,551,973,750,577,202,692,125,061,431,182,358,847,
881,412,191,753,373,454,756,928,114,096,837,832,197,848,266,296,611,312,974,
516,262,610,017,808,175,161,765,738,585,580,556,599,849,870,335,370,830,271,
303,797,709,525,359,736,808,717,041,088,719,167,758,676,175,600,135,277,727,
736,051,090,517,859,939,777,772,092,545,969,613,664,787,155,505,199,679,160,
322,161,247,844,428,390,836,675,786,086,479,833,584,823,845,474,467,272,812,
516,320,435,291,591,492,265,322,919,906,918,834,770,152,019,272,150,851,436,
222,421,479,261,382,871,508,748,231,080,872,968,837,364,516,516,325,687,453,
680,327,696,372,998,425,510,191,766,164,026,575,436,850,868,994,886,808,449,
727,275,550,633,505,511,453,566,506,442,857,550,780,502,416,090,838,295,251,
440,653,973,773,242,518,478,667,481,071,914,354,339,579,657,602,858,433,305,
666,800,345,058,870,396,001,421,993,371,698,703,195,666,822,345,383,201,942,
865,707,429,546,373,352,536,897,324,263,644,606,030,074,265,433,950,101,131,
676,754,152,671,395,182,520,854,457,919,420,844,935,417,334,037,773,290,872,
341,166,461,696,750,616,474,399,322,368,963,457,276,786,209,575,451,684,111,
761,151,678,615,951,681,472,155,569,808,519,246,838,204,687,450,221,697,584,
659,644,412,490,768,871,704,304,613,871,982,325,656,699,442,483,876,001,935,
282,725,257,801,358,798,752,285,722,027,088,080,342,859,808,897,083,464,179,
358,744,333,242,270,905,383,141,863,525,388,104,629,372,786,052,510,224,040,
774,209,074,744,170,699,898,791,431,048,600,941,148,030,679,119,477,382,112,
015,030,776,349,163,632,095,123,729,888,330,504,824,077,020,340,227,682,411,
236,477,456,070,249,266,880,605,175,863,181,768,435,827,910,059,180,093,046,
119,524,532,328,597,705,765,429,240,474,974,091,395,935,783,973,484,604,232,
789,213,438,937,608,394,268,568,700,593,600,819,734,379,813,887,403,789,008,
722,772,384,384,492,819,412,450,734,395,427,440,245,303,051,509,444,425,611,
999,566,632,374,342,415,728,217,265,465,060,881,759,090,028,578,040,595,382,
465,808,286,088,657,127,064,449,711,960,252,744,740,313,176,029,365,066,029,
139,579,621,536,832,967,684,633,506,716,061,629,135,920,534,822,134,865,690,
514,260,185,863,643,308,150,893,337,913,315,494,215,133,797,781,606,257,308,
048,068,223,222,035,077,897,946,189,737,732,929,657,514,335,672,416,142,645,
517,161,845,928,915,349,851,662,340,437,866,267,251,131,134,472,633,471,785,
512,182,052,298,875,723,871,562,076,705,325,324,738,454,915,372,276,924,771,
378,944,283,036,411,966,974,871,567,234,820,837,533,325,517,435,387,515,585,
422,186,426,828,737,478,826,649,335,496,959,118,685,673,606,695,929,179,787,
997,708,766,125,202,139,725,265,865,510,417,135,160,769,736,830,421,126,359,
708,903,226,544,480,871,113,750,558,194,451,113,856,821,640,737,649,152,618,
797,852,808,155,585,961,442,262,802,448,583,258,364,143,991,791,976,860,438,
517,238,947,439,593,171,701,680,270,657,726,949,243,032,612,924,768,450,464,
240,997,482,799,950,108,456,322,168,462,094,959,996,500,833,799,102,724,907,
556,985,001,857,471,837,293,291,110,228,103,002,715,685,271,386,298,707,148,
791,415,900,506,774,764,454,638,370,203,828,719,901,403,739,168,022,504,159,
541,327,335,442,991,299,956,132,529,688,199,774,175,620,464,542,951,503,031,
998,334,905,110,856,307,258,075,327,142,320,313,612,853,890,801,928,785,257,
407,658,215,164,191,495,476,539,765,955,493,433,421,786,512,307,402,402,222,
648,605,129,564,787,246,392,161,924,721,403,410,581,995,824,803,607,704,704,
216,244,570,099,415,354,250,580,144,091,505,886,273,485,556,284,733,115,370,
813,430,143,378,997,686,432,076,695,687,523,061,084,501,987,076,578,853,373,
055,330,303,459,822,050,591,806,579,031,165,466,063,078,079,737,132,151,845,
330,215,795,488,044,764,679,695,370,514,886,235,508,049,927,020,766,266,397,
193,374,450,376,132,832,199,664,482,627,913,898,080,933,805,190,557,978,346,
883,855,840,069,174,300,608,058,356,956,402,933,571,844,090,983,638,860,423,
942,289,822,446,681,758,832,549,756,821,608,752,544,305,843,871,406,339,761,
709,192,258,248,724,622,274,911,560,511,963,769,992,514,690,508,488,473,477,
521,340,717,941,425,368,204,695,880,533,300,926,616,835,559,243,772,378,437,
469,331,945,919,360,822,486,487,246,290,071,410,115,914,885,831,112,459,959,
243,872,917,343,730,974,700,988,048,635,535,486,773,877,195,085,278,660,979,
395,871,369,878,769,118,844,279,067,964,249,761,325,978,676,260,807,483,456,
180,468,693,461,212,286,383,591,115,025,535,702,700,329,725,315,190,066,483,
365,346,770,499,438,157,110,930,941,804,372,595,406,956,550,454,886,753,815,
906,164,881,628,523,200,142,199,860,726,219,547,849,664,271,483,522,424,706,
858,435,089,345,075,296,894,047,573,534,727,298,222,976,021,601,531,365,604,
958,564,797,911,802,046,713,368,069,067,978,994,487,876,860,558,321,661,354,
722,905,829,163,311,809,867,752,006,707,943,169,006,182,133,371,499,874,047,
087,496,727,535,809,320,163,645,874,074,335,148,097,457,541,614,366,035,236,
204,752,315,879,356,650,026,277,510,445,418,410,961,210,544,440,488,438,393,
952,695,934,760,426,119,954,635,499,511,446,644,378,648,210,533,459,708,716,
822,238,609,668,658,729,025,279,917,771,623,807,886,094,120,955,724,634,666,
232,068,884,996,152,089,779,258,853,420,069,442,838,266,172,960,721,288,363,
911,857,768,725,050,179,373,333,025,956,243,769,221,339,432,418,650,618,445,
768,394,199,077,525,096,588,899,546,902,272,067,914,097,904,182,989,629,135,
926,350,991,605,162,072,771,924,219,735,958,488,644,879,193,220,473,804,237,
558,451,538,569,910,192,608,404,229,306,646,480,383,889,406,281,326,521,950,
852,296,151,928,065,863,792,391,149,723,611,273,846,679,557,972,737,720,476,
147,096,804,976,607,995,904,638,721,601,033,552,123,770,347,869,868,866,007,
671,545,273,195,285,348,448,823,897,912,166,293,376,594,317,410,890,034,282,
024,876,203,964,627,588,820,423,072,363,237,318,638,437,162,907,200,558,357,
802,000,093,742,213,704,195,465,183,966,889,431,284,034,078,191,590,142,145,
576,189,869,696,530,054,569,740,496,132,188,125,695,989,813,146,840,740,927,
912,259,593,149,774,133,787,263,605,709,216,529,432,887,281,188,494,895,600,
086,106,962,190,628,894,776,036,662,855,584,032,840,453,680,564,241,510,531,
101,203,454,312,665,156,910,872,995,987,387,677,303,121,636,001,061,296,952,
985,793,225,703,737,467,270,573,933,661,719,091,881,471,646,241,713,915,332,
237,906,167,800,744,571,497,918,323,513,353,367,146,324,542,943,995,083,297,
179,032,011,351,604,640,272,008,803,167,286,120,986,113,894,404,220,996,738,
644,736,731,377,262,900,734,695,932,488,956,087,325,316,525,529,097,917,645,
239,216,044,567,618,051,252,415,637,563,947,905,920,856,316,822,367,413,214,
425,427,550,220,186,052,952,752,169,017,326,849,186,607,549,815,425,841,944,
471,770,423,477,422,760,518,561,575,201,318,583,060,664,656,788,225,226,287,
233,318,012,107,138,802,883,782,548,739,611,555,515,223,546,097,960,904,922,
322,863,474,345,789,959,564,921,699,282,372,458,782,454,434,796,965,486,003,
907,180,644,206,137,753,330,946,830,771,592,473,004,986,399,272,925,584,790,
335,822,056,480,777,946,830,502,824,029,641,325,697,760,327,288,186,509,622,
399,082,986,313,301,249,862,935,118,590,496,824,829,439,346,878,978,469,923,
353,955,728,951,962,813,007,465,163,824,542,019,802,147,007,582,596,657,466,
957,628,132,969,945,891,703,716,668,991,456,577,960,882,649,546,159,814,381,
847,186,103,867,033,125,465,090,881,994,985,716,859,686,319,500,677,985,585,
263,687,815,150,750,104,283,788,714,533,990,161,143,639,038,940,301,803,454,
774,572,360,091,704,113,660,411,423,684,464,204,167,127,854,390,597,599,962,
829,840,626,606,996,659,993,416,194,008,631,038,015,673,750,384,625,749,265,
761,905,607,516,605,087,283,086,039,266,641,726,035,518,102,320,553,634,644,
503,035,915,322,826,030,472,280,773,555,062,816,953,371,224,319,007,926,514,
814,514,767,324,445,284,397,974,430,631,582,759,411,049,851,246,153,871,635,
784,048,667,538,979,678,100,683,208,488,816,113,085,265,922,890,757,547,901,
295,330,744,896,661,848,715,079,952,427,167,513,551,993,607,110,870,164,840,
955,312,176,571,558,525,166,018,737,723,146,614,176,839,379,042,176,106,909,
242,470,150,466,020,869,584,135,451,904,437,804,072,515,422,916,068,547,814,
786,281,236,754,898,604,395,584,450,166,058,269,881,234,943,266,986,265,181,
053,738,793,673,101,035,670,433,322,145,467,261,369,754,034,587,097,957,514,
719,708,296,812,776,618,104,315,917,817,507,557,774,776,497,654,120,110,292,
080,092,226,019,639,997,470,164,843,373,238,017,846,393,255,783,883,189,896,
047,450,956,665,651,295,589,432,900,789,642,937,309,107,471,845,150,755,358,
351,440,397,130,904,948,692,148,870,809,401,537,069,302,612,997,841,812,720,
278,236,649,461,564,095,060,902,537,097,724,728,526,777,391,620,477,231,829,
046,366,046,678,030,045,700,738,614,051,137,350,776,605,131,520,229,622,997,
856,421,963,561,617,827,905,195,947,942,049,046,353,797,353,594,279,642,311,
909,420,513,432,899,684,642,737,854,862,421,496,745,461,428,309,845,060,457,
414,681,753,175,578,766,065,938,583,197,979,617,105,011,815,363,932,572,872,
288,624,957,094,908,229,162,197,443,972,875,413,756,924,094,382,850,371,914,
947,649,887,229,103,805,698,855,949,440,955,986,996,695,971,386,097,004,549,
718,219,887,018,439,456,170,794,409,400,138,416,501,311,317,526,993,287,190,
877,006,530,981,171,549,093,132,521,579,762,552,039,427,325,924,934,211,271,
047,671,061,530,303,246,495,715,657,788,068,439,450,807,345,121,904,123,881,
087,447,913,387,814,080,420,323,908,333,355,556,848,314,453,457,011,226,993,
534,309,290,745,545,405,695,965,158,406,191,075,004,057,557,111,563,673,518,
237,103,302,752,038,894,386,288,150,234,546,427,120,571,385,658,869,154,036,
279,713,173,374,187,950,705,267,340,571,727,865,348,411,780,548,631,002,768,
988,324,606,925,489,094,852,875,888,600,597,702,927,973,841,536,605,661,797,
779,555,020,238,048,699,501,379,916,723,717,887,733,103,981,315,711,165,029,
711,140,986,996,159,495,440,704,419,379,095,880,772,413,714,323,947,654,137,
058,479,153,025,170,427,337,274,625,516,051,463,364,591,403,851,616,729,909,
491,561,699,184,305,563,022,667,109,719,834,070,562,386,493,994,750,042,079,
107,979,007,590,224,435,375,236,576,804,367,133,244,775,772,926,122,350,101,
481,094,842,898,159,814,416,515,247,436,950,543,379,942,711,808,981,043,818,
390,009,185,436,265,340,196,202,143,827,406,816,593,667,998,385,822,975,889,
086,916,098,924,107,237,953,352,278,140,885,605,740,769,515,201,536,310,726,
289,659,232,606,220,459,091,773,877,325,977,777,561,520,914,975,402,156,290,
005,111,015,068,828,734,796,184,436,682,744,978,492,317,434,379,580,520,653,
307,020,062,269,962,968,768,947,062,018,355,289,481,143,005,572,748,438,593,
679,040,689,066,845,854,877,024,591,225,715,681,722,046,530,054,978,947,944,
080,019,943,101,243,750,616,164,117,422,526,683,503,919,583,075,735,960,614,
954,625,622,019,109,584,600,729,709,332,078,955,324,648,078,391,514,130,151,
057,597,318,576,582,674,693,144,357,053,016,441,096,050,974,202,676,928,311,
025,418,812,119,306,716,382,671,216,590,739,813,004,568,083,037,170,300,198,
047,911,283,027,203,625,042,677,421,583,961,875,767,177,323,926,844,387,233,
741,714,242,371,979,723,436,921,274,245,362,917,823,384,450,928,554,494,800,
513,193,297,170,893,004,614,814,367,271,750,317,854,499,871,435,758,444,102,
885,234,688,696,822,430,236,963,566,794,203,932,263,349,879,156,658,625,565,
947,503,152,322,416,534,837,661,561,087,250,861,247,713,470,549,830,305,033,
166,717,664,032,549,469,093,411,877,561,887,026,040,410,866,727,784,922,099,
316,751,178,238,612,407,205,759,413,595,748,549,420,017,251,725,809,302,576,
129,870,477,901,004,901,298,824,934,204,889,161,352,492,574,295,584,832,264,
781,558,579,065,534,734,138,443,788,924,363,608,116,797,425,508,304,438,813,
519,074,310,390,908,493,257,103,302,187,864,073,238,464,458,789,482,899,592,
229,986,457,647,159,919,035,982,267,094,354,948,176,934,580,886,064,445,665,
187,232,437,662,418,705,780,342,013,412,127,864,418,615,905,699,994,181,012,
309,167,487,985,810,374,062,664,624,648,744,657,632,686,379,675,849,979,903,
833,022,586,213,941,497,424,466,799,310,077,072,568,834,980,640,036,276,730,
551,029,085,835,755,696,768,129,559,534,582,282,243,882,162,937,729,903,209,
350,359,480,478,180,953,258,323,397,343,605,593,425,621,417,728,638,725,675,
403,323,483,265,866,592,769,921,775,270,800,186,806,551,679,012,296,976,927,
801,513,425,675,572,531,270,365,705,005,176,364,346,354,501,690,219,040,974,
826,901,313,587,836,575,717,683,537,001,213,374,550,736,140,618,502,836,222,
678,668,135,280,155,847,820,863,037,301,025,413,297,731,209,471,310,146,251,
580,792,825,185,606,428,423,810,939,496,336,728,251,308,532,319,737,467,176,
617,695,491,636,666,922,285,647,687,481,182,442,330,067,743,443,263,178,398,
066,560,801,142,857,681,361,918,248,356,694,192,750,126,019,820,472,439,038,
274,189,716,337,485,349,480,922,891,526,511,962,003,962,032,111,387,103,876,
149,440,893,507,786,172,801,124,166,615,625,110,642,357,854,983,637,856,767,
521,178,030,766,220,375,881,928,930,748,414,240,288,829,329,219,541,709,681,
350,352,136,082,594,449,663,234,088,044,914,479,491,592,974,701,654,084,919,
876,610,717,114,767,288,641,079,312,537,031,681,490,361,853,958,946,004,656,
053,481,561,894,767,823,126,656,120,693,751,908,135,698,395,870,125,531,902,
596,816,495,744,985,601,583,223,297,323,285,620,335,086,343,959,354,099,452,
290,949,427,150,149,319,914,179,289,440,737,548,382,601,430,419,928,205,293,
116,909,802,878,446,494,585,619,793,554,266,658,819,966,721,573,987,444,776,
899,178,238,629,432,669,157,351,147,635,148,454,985,477,617,582,792,891,138,
995,189,838,236,648,654,512,017,732,047,305,974,442,732,903,836,417,700,649,
173,804,469,806,992,525,011,527,238,568,358,337,844,623,181,963,275,608,395,
940,700,758,946,787,622,018,706,799,869,130,590,635,959,143,260,574,855,722,
977,985,545,489,888,092,057,289,964,763,978,313,118,649,985,700,482,408,065,
736,417,013,874,670,170,515,632,452,341,005,708,074,845,847,523,931,280,945,
618,243,767,003,895,411,881,590,412,659,550,722,978,723,669,202,642,560,973,
401,528,210,698,218,541,780,206,311,587,469,750,222,451,025,970,107,742,616,
713,057,774,568,758,589,834,819,619,453,485,861,823,698,707,173,149,347,527,
068,998,856,761,926,523,851,760,392,362,412,622,784,701,831,017,883,067,827,
902,946,800,045,433,737,674,403,912,103,733,235,172,919,556,633,908,975,042,
765,086,146,032,909,708,707,086,654,637,477,039,120,058,809,063,169,927,680,
963,972,075,621,021,033,368,943,077,151,097,715,134,875,490,277,919,869,884,
515,601,523,749,991,582,991,411,594,261,968,293,035,399,545,079,304,104,219,
652,917,818,565,293,180,436,788,899,475,199,848,414,173,956,521,260,952,664,
483,893,107,112,281,903,886,368,684,048,076,896,158,089,537,830,922,130,705,
156,357,275,280,627,563,903,194,275,278,405,105,856,069,457,565,688,445,999,
514,258,372,716,919,067,543,100,852,033,136,012,168,291,567,811,880,339,590,
959,939,111,014,314,338,176,335,699,556,251,805,796,213,822,250,283,780,098,
917,357,210,432,728,201,119,364,471,394,021,258,757,707,731,164,045,811,738,
373,967,172,719,501,767,748,151,539,525,365,761,472,393,452,504,905,204,839,
815,798,316,578,001,491,212,718,948,585,156,830,563,957,640,889,128,621,252,
219,727,237,830,948,471,360,329,470,717,503,862,780,540,998,848,005,964,639,
637,741,095,388,877,614,011,450,626,732,960,567,235,962,918,312,473,726,612,
538,884,349,410,339,461,061,270,238,744,463,119,410,015,042,461,290,676,579,
860,694,106,117,179,473,655,188,124,138,194,719,204,499,398,631,464,228,610,
623,892,564,190,740,007,783,046,323,683,028,512,706,685,706,682,968,818,218,
447,303,236,381,035,231,054,929,712,610,493,056,694,595,919,863,291,994,130,
959,577,728,933,815,425,217,745,345,166,806,332,566,239,079,828,040,163,239,
383,081,292,881,089,315,625,662,465,119,954,380,269,985,173,181,133,246,481,
926,901,722,490,063,661,477,023,722,705,124,759,079,805,280,394,450,132,629,
693,094,330,591,483,653,004,554,492,141,774,085,446,105,629,745,224,769,225,
077,341,191,834,697,872,472,089,352,481,969,607,750,297,158,228,849,901,553,
584,256,228,645,115,427,700,040,244,451,718,455,478,119,691,521,176,593,659,
445,352,490,030,962,317,291,155,811,807,837,555,715,019,422,115,970,541,650,
620,225,688,092,213,120,386,776,279,921,764,232,375,669,191,137,221,411,895,
454,727,833,158,478,173,039,196,592,600,993,838,528,449,943,598,433,028,931,
989,070,764,554,535,634,652,135,796,142,485,966,421,062,266,427,060,755,386,
258,893,453,378,024,583,090,607,936,799,242,391,314,580,404,765,376,221,996,
949,355,431,694,829,434,329,168,584,105,261,224,853,103,464,170,673,684,144,
550,951,092,038,076,270,616,720,636,368,705,364,562,103,607,680,236,066,457,
430,559,302,162,604,683,596,188,186,747,668,254,150,006,659,741,287,659,387,
811,862,420,627,100,457,434,588,574,100,325,121,727,330,486,063,866,415,268,
498,713,538,295,519,517,562,181,972,766,192,582,417,442,987,816,255,238,361,
479,190,290,723,908,782,642,707,944,958,193,097,736,162,011,416,057,084,041,
228,856,111,706,114,367,131,400,031,277,014,008,490,122,505,339,897,195,432,
881,255,442,798,635,878,281,157,126,950,640,805,546,299,920,594,687,271,149,
567,561,790,718,655,438,421,022,289,885,018,721,709,243,308,537,890,127,135,
380,573,049,388,607,771,339,857,389,265,191,875,446,772,988,496,228,284,140,
539,740,347,033,560,557,662,151,730,915,490,419,460,650,991,799,346,722,478,
794,451,354,271,573,465,889,547,786,415,724,107,683,840,511,338,962,992,081,
815,653,727,101,248,523,402,667,643,281,146,940,867,655,701,275,826,425,751,
579,083,977,847,580,520,751,928,185,106,006,831,487,281,805,874,833,580,914,
144,490,443,859,984,990,218,110,059,673,403,342,729,647,153,575,898,695,898,
823,287,209,780,312,704,609,617,510,711,705,092,526,179,404,518,193,349,084,
284,474,104,543,781,125,533,317,056,721,891,824,130,128,365,845,395,868,273,
268,467,789,113,240,382,941,349,134,601,433,277,018,276,973,784,352,315,035,
481,981,352,122,670,339,245,155,260,376,300,426,490,587,924,217,967,702,176,
126,723,555,047,171,623,130,685,576,173,064,292,761,852,839,158,223,308,287,
180,474,883,611,925,050,016,622,571,690,935,120,660,745,027,066,734,834,233,
006,663,166,794,334,887,826,098,501,025,915,912,822,903,047,022,071,488,500,
101,514,714,264,751,659,087,538,748,717,939,022,064,741,210,074,058,440,951,
371,881,964,950,898,148,176,413,719,960,194,424,859,230,222,157,880,173,999,
791,698,753,448,762,378,154,973,139,571,167,715,446,570,318,202,773,553,369,
026,131,563,621,114,209,137,724,975,413,000,469,084,789,852,538,964,863,129,
104,582,259,570,632,800,130,553,615,518,390,970,342,445,874,178,061,761,357,
856,895,212,793,733,296,842,110,548,372,098,757,916,199,994,715,357,653,821,
883,294,344,156,816,654,322,343,862,869,589,527,310,334,387,523,459,428,487,
116,250,304,652,186,824,747,765,688,404,815,104,911,689,260,666,588,956,398,
547,161,219,559,873,443,342,809,956,891,539,098,755,483,012,044,163,021,816,
566,992,699,643,751,163,641,209,906,151,956,065,278,376,473,397,763,522,720,
959,194,645,448,899,355,544,040,459,770,778,087,634,921,683,712,245,267,616,
116,817,200,638,152,110,157,748,524,354,813,167,695,086,815,663,831,083,979,
271,856,246,836,164,796,941,350,163,610,402,394,229,833,403,097,994,555,124,
873,764,941,168,294,923,107,397,777,493,337,296,352,720,236,838,729,575,934,
195,189,046,912,412,375,727,911,783,492,390,551,771,779,095,604,195,550,632,
745,781,735,320,428,066,544,331,138,115,657,160,510,457,804,498,746,143,043,
273,721,225,803,769,233,902,717,035,209,281,507,413,579,332,700,346,094,328,
736,763,067,481,128,447,695,201,052,530,859,582,760,420,118,014,110,452,182,
381,812,604,136,761,866,031,099,247,553,999,312,966,693,150,368,812,901,108,
410,358,458,150,364,863,249,303,267,048,206,547,894,483,505,418,333,529,599,
508,930,720,870,752,673,275,337,420,999,255,844,691,601,942,777,273,674,252,
496,276,537,430,776,640,770,264,926,547,470,821,380,657,091,932,662,631,421,
172,423,769,979,199,216,018,747,419,695,567,415,047,633,522,304,634,826,326,
158,723,110,458,427,630,740,718,654,174,383,505,015,883,404,733,519,830,549,
121,152,226,987,678,738,692,984,937,152,441,197,756,925,485,564,251,904,093,
147,556,395,945,411,477,280,036,326,834,602,202,438,299,144,071,900,888,325,
588,538,574,032,638,706,137,584,133,383,658,645,197,009,596,615,870,802,825,
731,799,074,555,295,517,782,993,965,958,827,975,145,090,989,527,669,129,411,
520,269,203,295,027,490,826,909,027,230,647,424,994,940,585,893,315,659,247,
101,466,963,237,890,511,030,055,531,328,858,663,391,573,171,774,356,351,342,
858,477,839,516,365,766,384,351,496,026,758,268,531,672,725,360,192,629,038,
830,023,678,763,044,615,871,242,021,464,143,377,371,307,977,071,608,674,486,
241,716,083,221,479,778,646,628,509,390,079,002,256,335,914,571,740,547,669,
636,658,727,396,474,478,317,241,731,122,680,063,075,499,760,075,386,142,067,
295,752,715,876,677,375,636,279,425,306,374,708,755,059,616,562,916,571,512,
696,029,337,560,197,125,767,716,709,822,261,718,958,932,706,701,717,966,258,
153,215,976,738,535,508,915,357,861,744,492,194,678,244,370,005,174,443,221,
376,321,803,147,293,333,153,442,359,410,664,883,864,981,977,572,609,642,916,
896,999,195,872,262,432,546,192,099,877,001,476,399,703,369,696,848,798,416,
200,134,553,155,797,239,694,657,916,244,221,694,029,157,211,491,709,878,516,
782,747,371,300,344,288,868,019,834,611,953,970,963,254,131,027,533,750,772,
625,192,322,007,403,060,234,972,464,401,971,552,217,166,694,776,571,382,555,
881,148,389,776,530,140,086,940,942,311,896,323,267,435,685,882,408,645,291,
806,876,995,530,840,408,702,104,416,607,474,259,624,822,752,953,801,310,385,
102,101,926,725,756,711,066,116,046,349,511,775,576,759,605,142,089,228,072,
670,017,472,789,825,918,030,330,552,214,060,692,540,255,847,042,367,255,116,
794,283,891,942,991,803,785,819,789,881,638,570,418,973,726,139,438,593,269,
536,257,125,368,430,116,897,482,032,065,552,943,054,078,206,747,966,032,254,
990,487,417,144,576,614,514,532,473,580,904,008,371,681,567,268,246,206,256,
887,488,573,522,566,602,832,312,893,476,575,360,811,758,304,590,118,026,688,
684,701,866,232,098,259,170,526,876,437,524,820,776,987,953,107,600,793,007,
303,259,956,910,554,164,353,530,097,943,275,532,060,197,901,800,124,194,357,
589,422,056,815,022,411,176,964,676,655,021,061,179,941,857,354,710,600,003,
235,428,150,251,110,208,344,052,119,427,788,690,272,743,717,677,922,851,423,
651,093,182,771,237,902,654,823,253,253,539,901,056,830,603,120,859,295,124,
764,406,998,086,021,703,328,940,629,876,635,388,990,266,657,115,155,296,972,
521,917,294,529,732,872,477,996,375,475,777,906,281,826,095,902,959,113,360,
213,001,361,808,444,679,800,489,357,907,371,298,963,492,617,629,600,569,869,
454,822,484,401,649,029,535,603,223,756,452,656,651,081,872,602,062,528,836,
036,920,470,166,659,345,907,331,740,676,992,824,972,507,231,978,087,283,832,
934,803,423,080,402,416,031,224,309,415,612,803,274,780,073,127,275,320,348,
221,549,998,895,522,629,878,508,503,396,077,194,580,344,963,154,333,304,595,
413,812,685,015,784,232,365,392,587,329,345,046,896,839,893,126,121,097,728,
729,172,142,348,137,896,069,554,245,374,416,155,124,755,241,498,160,917,338,
345,756,849,898,637,009,439,991,323,818,282,173,967,550,593,116,544,040,434,
230,773,952,334,313,338,275,798,220,656,256,031,869,570,309,990,370,397,283,
153,043,569,985,497,325,583,038,506,711,571,479,032,796,616,101,183,930,716,
947,358,047,188,738,760,794,461,928,105,336,661,840,939,079,602,993,343,703,
078,607,502,406,408,090,742,983,099,019,958,156,196,625,597,594,278,766,511,
101,002,328,658,084,038,039,055,324,909,366,451,074,815,994,160,295,529,429,
621,828,306,548,224,809,471,676,687,177,273,542,210,858,339,279,310,552,924,
004,440,181,455,723,699,374,654,395,352,340,954,930,117,167,379,133,303,239,
787,557,630,701,695,386,433,915,367,073,875,813,913,645,183,956,078,244,397,
678,308,382,563,427,162,591,639,600,273,847,187,055,172,707,395,840,512,786,
669,474,246,281,993,903,703,864,659,730,102,101,404,443,717,973,301,674,634,
697,785,097,666,485,406,051,321,165,961,101,519,599,179,128,859,639,601,380,
252,686,272,822,807,965,055,993,084,599,452,875,910,024,424,634,522,667,498,
627,039,841,288,346,790,250,704,431,662,643,964,984,558,149,259,402,122,610,
733,600,183,730,448,519,045,019,930,224,784,619,053,051,601,098,851,789,001,
529,773,678,750,925,443,999,206,500,686,722,141,783,327,859,133,372,272,306,
106,266,759,031,221,658,203,159,556,479,422,945,135,542,236,377,663,958,054,
453,205,178,448,846,479,259,901,032,799,373,106,185,689,881,025,168,469,011,
059,390,562,420,315,956,931,539,738,855,895,099,351,400,829,122,444,445,528,
670,162,458,981,556,330,180,271,237,396,323,972,663,719,102,495,527,406,385,
635,010,858,025,366,959,413,025,888,924,407,241,711,448,379,012,417,432,103,
014,509,998,569,559,553,939,508,665,774,826,386,751,515,295,249,721,753,963,
195,364,143,012,751,505,926,093,892,696,074,775,949,844,005,644,182,182,040,
471,381,199,397,954,268,042,805,291,232,904,560,520,807,068,172,472,152,340,
166,734,804,285,706,906,453,515,129,957,199,728,606,070,563,117,035,406,737,
680,658,559,022,891,448,038,847,374,149,416,747,934,730,384,757,871,185,587,
024,075,193,788,599,794,417,748,745,470,918,581,599,280,623,354,543,787,077,
524,436,604,752,441,320,724,522,103,671,350,381,367,798,950,477,427,547,186,
866,842,688,069,561,982,673,581,828,843,650,806,067,422,580,591,227,918,520,
603,621,580,891,020,235,226,255,671,817,222,092,274,486,225,273,747,140,195,
587,597,660,219,158,789,351,647,024,754,940,845,447,978,544,302,115,779,739,
425,002,492,529,685,971,161,997,479,077,679,209,468,508,429,415,148,784,353,
681,906,118,963,538,961,558,413,367,114,822,951,022,423,337,569,858,302,476,
271,925,930,630,485,460,934,178,325,105,359,832,812,411,189,118,740,572,325,
923,228,085,206,983,743,768,031,105,542,663,859,306,989,085,533,524,113,402,
645,862,167,611,692,084,058,260,674,560,915,773,519,761,542,790,209,141,182,
148,651,184,648,290,041,260,968,285,032,689,693,357,264,606,599,589,586,889,
399,794,690,508,872,060,075,291,289,050,911,415,630,376,539,234,658,957,861,
324,680,374,133,020,317,572,363,662,115,862,651,669,476,252,066,915,652,053,
825,399,966,161,958,611,361,544,806,613,891,447,839,671,481,182,477,115,839,
493,794,072,504,543,158,591,856,723,049,767,098,867,165,256,471,271,041,782,
969,184,504,390,939,200,386,549,331,271,265,152,098,679,199,691,717,917,037,
481,941,008,881,435,712,471,448,105,945,884,647,331,756,948,250,278,972,304,
616,041,210,278,796,871,849,714,317,192,964,489,580,172,883,910,347,194,800,
831,218,377,099,704,823,022,636,124,510,170,558,530,665,386,813,248,877,435,
162,947,597,327,384,398,780,978,895,148,054,873,356,337,281,450,238,002,137,
297,522,719,148,141,951,115,091,435,568,984,825,732,388,621,470,831,377,441,
268,291,193,187,944,888,296,565,052,384,003,681,885,424,028,258,115,672,025,
283,160,326,181,129,013,533,907,707,801,657,556,531,666,691,104,927,012,809,
479,858,367,243,793,079,898,642,426,682,906,455,665,728,801,761,603,747,905,
120,157,786,760,520,745,639,853,897,360,569,879,869,370,872,366,054,453,340,
476,643,308,121,838,059,242,321,767,298,409,004,436,054,319,447,852,875,079,
719,319,093,801,960,304,529,075,676,297,817,633,380,941,113,624,393,950,735,
838,285,698,156,522,560,701,894,939,160,521,332,121,421,324,985,340,122,109,
043,513,369,848,453,542,772,986,734,538,447,139,793,030,419,439,917,880,421,
774,360,162,891,463,459,203,664,328,837,720,038,202,306,935,270,914,107,417,
467,512,162,656,055,051,913,091,282,272,804,715,252,734,773,983,179,387,853,
165,817,551,029,749,083,497,418,745,722,274,257,124,109,122,920,412,014,446,
103,016,631,655,691,959,866,225,294,990,345,309,071,856,986,952,386,130,117,
480,507,919,439,731,506,483,570,482,976,209,665,277,697,325,015,300,193,744,
053,440,629,152,031,460,049,762,046,465,908,354,021,258,623,501,534,894,036,
591,216,962,416,576,946,731,658,485,940,709,878,340,037,453,179,850,267,653,
335,672,564,318,847,069,130,303,249,502,155,733,016,907,191,531,860,706,737,
129,633,905,434,837,922,857,417,878,945,515,197,331,293,552,614,742,353,490,
272,797,680,886,461,174,929,805,602,119,134,859,371,557,377,505,446,233,862,
929,042,016,096,317,839,995,582,488,588,365,833,139,598,063,662,229,780,693,
985,232,228,930,102,498,870,746,860,574,462,097,183,662,234,011,126,553,770,
936,655,427,958,338,171,793,056,006,603,835,418,396,935,783,789,033,877,682,
121,312,295,506,019,242,804,198,125,216,183,068,880,920,533,685,814,810,758,
711,582,311,910,682,262,009,110,919,983,286,511,192,494,581,869,314,041,187,
212,095,694,705,601,860,274,534,886,213,436,805,067,375,627,368,914,643,668,
429,461,937,116,866,999,213,932,619,905,636,963,990,902,795,328,383,565,090,
456,108,870,416,439,707,507,893,093,829,732,082,746,098,189,696,258,292,220,
509,304,568,688,782,338,172,301,488,044,517,108,022,588,534,751,731,072,960,
073,010,761,607,173,492,089,177,576,754,707,598,496,412,705,306,652,901,720,
912,172,542,290,505,324,075,466,557,580,657,616,336,683,743,247,671,132,208,
159,845,317,628,379,987,705,051,631,124,885,392,889,994,054,693,621,614,976,
036,422,867,656,527,440,601,529,848,238,188,292,455,835,413,598,531,616,642,
472,364,549,059,678,490,026,731,000,760,381,248,524,156,599,817,924,479,594,
185,903,860,427,116,587,246,026,966,366,097,502,472,159,047,536,342,531,435,
258,640,296,553,048,702,583,931,544,529,593,913,955,334,803,261,858,713,916,
294,649,828,290,126,307,681,627,302,441,922,610,691,585,965,746,482,219,763,
951,747,272,948,459,417,648,470,695,856,228,278,571,913,155,970,708,913,690,
203,673,879,741,773,781,470,055,674,329,184,213,430,161,540,634,762,598,142,
572,491,255,412,996,483,504,928,006,932,320,695,547,029,438,985,475,097,086,
101,967,633,350,252,972,829,432,998,222,177,859,836,980,298,322,706,782,359,
502,857,341,173,761,813,029,349,895,657,881,477,494,684,177,186,879,298,184,
888,135,959,989,569,790,709,704,706,419,179,486,199,280,389,306,761,467,070,
478,336,878,201,517,432,201,517,308,038,183,607,918,986,820,989,800,864,493,
177,502,275,974,554,780,090,219,680,170,718,114,534,535,467,051,633,352,190,
313,790,977,302,031,344,654,422,808,493,195,096,406,544,495,621,316,672,138,
640,825,369,688,062,144,129,699,694,545,771,604,232,014,599,738,165,939,807,
718,235,636,236,768,371,917,876,884,656,473,650,025,533,589,600,123,217,262,
360,345,834,903,394,054,967,545,210,464,695,859,994,883,300,253,786,464,447,
341,102,262,066,484,650,954,827,705,250,291,689,127,096,199,824,531,375,431,
349,414,125,908,446,667,727,068,294,221,404,343,328,442,545,292,404,877,665,
353,353,356,429,452,142,855,536,055,161,888,160,905,044,231,426,978,763,278,
534,511,787,037,245,504,290,904,955,535,994,579,289,222,679,697,103,792,774,
065,874,761,439,951,846,547,253,870,149,390,542,449,376,458,677,407,605,589,
386,566,751,712,811,414,637,639,166,848,308,903,683,713,439,366,477,969,987,
228,976,267,598,574,738,459,908,843,493,456,866,298,674,919,664,120,709,012,
559,315,732,422,749,557,714,599,435,123,797,496,605,833,047,088,592,279,964,
462,774,723,950,824,366,326,366,475,636,706,968,885,039,052,611,835,400,077,
849,542,898,278,329,546,431,493,627,805,932,347,334,823,735,896,206,033,006,
579,692,771,494,320,926,511,059,224,194,198,540,702,286,714,562,325,876,440,
228,320,592,414,061,689,054,035,793,038,725,380,226,424,744,601,856,249,320,
118,253,850,762,843,680,125,720,534,772,806,953,811,464,414,759,742,130,927,
549,965,404,250,889,179,338,472,965,674,118,401,265,775,307,938,934,151,338,
998,942,458,633,627,656,565,599,510,079,940,719,572,656,872,593,321,000,827,
734,887,590,610,982,323,898,845,903,655,439,094,115,122,507,471,472,363,051,
613,346,382,339,448,971,522,721,112,689,794,806,545,491,834,166,066,687,638,
016,448,108,479,321,732,229,399,364,549,278,067,677,987,310,144,212,224,795,
126,943,749,069,255,988,066,561,828,824,473,888,932,124,614,330,752,681,903,
937,966,036,810,896,559,169,736,271,803,523,230,518,159,441,271,706,052,844,
475,097,982,316,373,237,918,470,329,375,898,270,312,185,931,900,950,989,911,
882,829,152,612,322,076,610,677,899,372,290,053,551,583,131,778,011,892,744,
001,058,878,822,080,803,471,681,987,204,274,423,967,311,888,711,657,037,516,
094,717,160,343,867,575,825,099,399,380,075,009,146,229,823,410,903,358,605,
483,232,835,539,955,899,126,454,718,206,877,118,052,912,126,105,792,042,222,
531,463,291,788,715,423,807,557,850,001,143,180,159,928,081,139,594,067,514,
879,532,530,650,479,704,279,359,585,297,705,470,729,224,404,189,985,384,108,
846,817,309,606,613,191,756,308,966,100,631,827,661,506,474,834,027,511,174,
330,526,674,302,444,448,155,409,471,529,230,952,357,816,525,572,987,195,231,
441,668,224,635,470,413,260,218,817,171,050,861,983,287,534,825,385,625,717,
779,441,815,868,376,389,516,755,050,967,224,481,617,658,482,974,883,993,791,
031,533,600,027,070,359,445,269,627,392,909,324,576,989,999,982,749,216,655,
314,289,807,680,087,082,288,960,191,211,967,930,376,453,227,257,010,309,844,
606,513,789,158,444,938,818,622,799,789,504,334,545,325,730,842,367,152,740,
089,487,359,997,460,428,752,077,717,697,914,423,245,474,491,810,709,806,656,
411,337,455,163,118,103,571,766,191,573,132,586,480,516,514,261,610,207,715,
053,452,975,907,075,842,555,755,036,530,968,345,829,362,104,198,251,118,167,
607,482,036,000,801,286,095,787,004,692,091,929,465,334,828,103,890,011,131,
587,519,020,600,339,267,147,423,346,340,529,057,660,823,007,254,670,620,620,
082,047,598,527,991,782,488,000,798,109,442,594,433,191,635,492,045,831,403,
206,332,762,758,729,804,501,242,827,225,059,467,642,612,889,358,256,130,082,
109,996,828,034,765,083,435,550,714,947,326,725,385,614,158,692,179,386,441,
794,160,599,181,786,678,771,596,908,146,538,097,169,835,724,157,221,565,795,
948,294,665,008,120,579,741,393,502,560,800,592,034,803,500,328,019,946,802,
718,368,069,385,655,173,576,175,838,888,040,582,252,009,978,378,380,118,925,
021,934,945,809,438,571,475,352,480,735,581,980,634,060,271,208,819,753,891,
950,605,012,107,811,007,991,533,166,416,378,871,194,073,589,132,274,569,601,
112,876,827,699,410,423,322,661,790,655,730,513,551,719,044,658,173,087,031,
934,182,400,829,185,550,576,284,294,943,833,727,973,228,049,137,868,897,020,
416,015,187,294,932,044,128,394,703,651,471,105,264,276,955,388,969,031,608,
315,800,773,232,039,944,577,058,988,750,487,923,612,309,840,473,279,147,796,
507,381,660,002,376,459,541,806,626,853,743,949,551,086,167,926,712,642,983,
939,866,302,639,870,658,154,865,642,044,253,501,172,702,881,035,352,678,562,
036,978,178,474,529,490,590,662,599,123,193,975,227,360,709,467,353,963,991,
711,891,379,620,140,060,597,279,537,110,262,154,285,358,240,031,276,890,521,
610,556,907,656,271,396,755,949,386,744,592,333,839,865,363,218,616,019,943,
499,947,001,931,942,914,543,853,245,434,023,188,482,576,472,756,404,571,939,
578,128,963,361,804,664,935,063,714,987,587,464,604,759,955,369,618,992,249,
470,657,525,795,545,710,178,913,782,484,978,568,288,157,078,597,219,455,896,
036,528,651,188,124,382,815,129,819,161,207,208,870,612,457,475,078,143,963,
734,722,327,773,546,299,409,266,205,196,907,200,024,837,323,242,873,941,267,
434,821,555,898,700,025,139,512,145,821,602,936,552,257,379,944,942,047,828,
856,798,232,841,096,025,785,560,505,676,250,171,559,052,984,931,346,579,788,
325,610,319,181,958,306,604,328,113,656,258,208,063,741,273,872,847,936,099,
059,708,750,817,618,970,109,246,313,611,913,730,323,269,085,969,855,742,067,
740,372,773,050,266,116,757,046,421,104,577,828,883,692,694,885,239,727,616,
601,546,269,431,047,185,195,951,460,595,681,196,008,489,082,844,138,715,900,
781,851,643,097,645,674,490,560,051,513,310,730,179,759,207,097,436,749,241,
364,738,496,190,926,495,766,888,650,952,663,876,530,658,441,363,395,475,211,
439,565,377,451,132,110,110,568,288,364,546,715,560,573,625,510,711,906,651,
335,289,754,380,859,961,159,676,890,765,194,152,548,733,649,914,090,902,343,
963,132,876,489,231,268,945,396,660,268,310,767,482,838,125,638,973,801,808,
839,970,232,531,919,887,471,838,710,676,808,700,438,491,259,872,483,267,142,
077,103,027,930,637,880,188,004,325,837,432,866,842,357,609,494,559,208,528,
499,490,629,416,738,539,503,936,706,880,673,666,736,160,072,407,060,344,184,
311,669,143,349,728,154,813,774,490,947,610,514,861,465,472,524,666,324,237,
718,003,655,733,843,339,953,548,839,835,249,445,141,433,882,591,409,364,037,
641,210,874,184,860,113,843,549,093,162,491,700,285,524,750,554,966,393,636,
072,252,672,974,344,316,413,417,876,297,224,539,680,352,266,612,101,472,406,
894,387,458,080,342,517,362,583,230,142,133,795,359,484,573,439,150,779,231,
308,916,701,839,600,451,466,814,957,469,090,506,682,296,743,361,364,229,427,
128,284,765,538,352,380,344,530,568,721,502,354,542,376,294,562,027,452,477,
250,249,398,302,981,989,187,277,767,062,165,178,748,001,897,726,433,084,437,
216,922,979,243,983,505,720,626,548,881,714,410,049,653,587,219,199,593,539,
909,770,433,551,594,019,328,639,087,090,562,926,264,378,886,899,376,525,852,
836,010,623,598,170,000,168,036,921,446,097,819,605,789,677,617,661,466,681,
441,916,335,871,293,095,868,197,793,761,374,033,493,578,535,534,339,376,617,
147,459,561,363,414,909,525,060,673,800,347,606,440,417,624,383,563,921,648,
377,872,852,341,036,745,871,535,803,523,940,622,556,592,170,193,422,007,627,
945,661,780,054,917,502,545,739,277,406,778,708,164,229,507,075,527,426,553,
134,081,956,047,866,809,469,470,423,426,876,446,007,261,133,797,031,172,820,
671,919,473,501,861,695,954,468,309,872,335,823,672,775,656,357,089,498,531,
687,318,292,139,940,180,215,967,968,858,035,941,491,811,248,747,204,875,968,
178,926,112,932,579,200,803,313,431,793,687,491,442,287,300,262,107,197,615,
796,942,532,411,556,569,626,768,928,629,145,372,448,937,498,014,185,022,591,
226,741,311,247,594,844,875,015,407,501,800,189,854,688,570,518,614,440,691,
464,839,811,062,246,960,693,942,585,665,774,043,623,680,797,671,957,390,330,
484,245,262,950,297,622,250,849,232,140,001,112,625,619,490,788,239,463,460,
461,578,455,965,197,384,369,541,936,993,470,141,780,296,049,909,223,329,081,
961,789,836,383,559,562,272,555,385,238,625,372,580,247,574,368,809,806,882,
285,647,866,800,249,427,275,190,910,158,106,891,231,720,825,567,271,717,595,
794,794,063,182,284,157,835,814,767,525,484,026,009,925,138,626,767,506,710,
755,215,302,513,782,538,289,111,667,736,123,277,476,408,829,770,998,469,152,
462,350,456,106,171,437,682,043,646,002,998,077,806,476,954,186,048,161,071,
554,875,766,593,465,585,130,392,732,914,867,797,268,562,186,418,276,660,372,
782,208,716,758,217,883,955,679,242,302,966,287,711,146,531,363,520,605,243,
196,548,429,001,968,328,972,797,529,757,473,032,980,701,201,713,705,073,706,
512,660,781,870,126,193,483,604,010,896,515,592,696,933,503,990,353,072,426,
896,031,505,646,217,042,805,212,916,389,176,114,878,996,806,323,871,131,251,
956,416,681,022,108,109,973,897,627,231,049,580,717,791,277,624,626,877,898,
042,941,254,443,196,188,357,944,848,554,757,156,852,091,707,560,832,298,643,
603,772,281,579,311,854,644,176,848,650,923,545,830,204,382,824,837,877,099,
492,812,452,839,325,055,616,532,737,540,852,953,472,155,994,097,893,920,801,
227,753,285,765,793,404,707,755,801,835,653,633,175,856,535,402,449,077,850,
124,793,855,928,588,981,129,754,784,777,822,723,221,932,522,615,109,369,117,
261,697,204,128,129,414,744,590,906,433,219,210,686,243,468,738,714,741,735,
515,950,917,511,952,623,379,934,786,598,554,806,309,404,018,268,173,420,304,
036,334,794,264,484,667,207,289,574,337,806,254,991,156,355,515,907,746,898,
814,018,371,510,085,507,260,032,510,432,895,647,982,112,726,486,501,054,774,
583,835,116,955,815,802,688,130,533,131,056,729,788,604,271,470,677,533,804,
279,614,145,838,064,281,032,567,867,003,150,090,148,943,916,835,551,906,228,
171,090,740,352,472,900,011,528,707,504,947,240,855,927,971,180,451,665,219,
595,488,297,082,878,034,411,041,999,321,849,099,868,824,080,483,210,212,063,
898,968,975,211,735,422,441,461,543,602,705,811,497,173,923,556,645,089,068,
822,966,183,161,785,689,251,969,410,708,048,603,252,000,174,226,774,132,801,
982,534,912,616,571,128,243,571,259,991,480,616,129,215,196,948,325,366,954,
668,331,428,516,164,291,418,491,482,899,540,956,696,715,206,546,171,041,223,
500,444,374,686,063,629,365,657,467,395,984,058,926,551,884,567,580,667,280,
074,641,280,216,904,911,091,803,279,999,984,150,010,099,802,390,932,327,251,
951,886,050,434,762,577,651,233,234,060,807,652,316,146,607,781,465,412,213,
912,672,183,967,361,037,215,203,122,984,358,660,633,528,971,467,037,680,421,
781,419,530,885,600,125,845,356,946,100,695,730,613,276,282,335,365,235,427,
789,652,776,152,670,581,914,522,140,706,511,985,062,740,922,794,491,992,285,
017,800,017,524,391,271,803,719,775,530,800,127,152,285,224,755,579,978,097,
744,876,641,832,841,185,389,921,013,635,229,360,985,688,545,898,418,684,728,
185,025,982,471,637,576,252,104,976,864,323,068,199,245,657,360,723,141,519,
072,964,118,475,875,783,632,903,489,512,459,135,928,296,101,981,143,724,556,
847,395,220,299,411,611,049,662,987,620,520,662,453,549,239,703,887,956,427,
996,244,505,853,169,080,419,602,939,005,752,294,601,185,999,796,791,276,116,
842,638,060,766,093,017,444,532,481,954,527,600,043,658,798,979,126,910,180,
428,651,429,232,107,972,959,192,742,081,256,320,238,555,069,012,689,047,600,
948,820,799,254,518,480,558,573,747,056,615,767,532,198,433,674,007,140,070,
498,548,585,257,127,722,172,475,906,190,797,473,786,001,813,736,236,142,895,
707,963,290,642,852,078,711,720,138,962,617,003,594,629,289,501,488,982,541,
092,570,227,485,701,823,259,932,913,860,879,099,396,044,317,044,001,199,065,
809,901,439,203,824,705,593,494,278,403,403,289,883,776,400,108,127,700,391,
263,429,053,407,047,844,952,616,663,940,355,111,704,774,131,201,118,368,839,
931,809,189,595,458,510,934,805,142,875,080,598,231,649,185,117,350,551,282,
951,348,542,639,771,949,931,090,210,970,453,874,626,392,499,984,432,903,533,
478,495,873,517,370,201,944,196,981,355,162,544,048,095,706,869,856,184,279,
115,952,041,539,830,524,757,621,926,157,893,885,969,211,937,116,459,404,782,
975,813,643,503,329,985,998,668,746,713,523,019,052,083,701,151,577,120,219,
392,618,143,336,742,077,979,907,735,126,710,941,685,973,762,032,200,226,008,
969,125,981,877,309,885,581,534,224,158,984,728,716,282,470,732,636,857,491,
022,226,453,136,048,404,363,050,074,838,922,259,201,164,616,883,256,357,803,
468,098,142,441,559,456,732,637,836,294,576,087,861,879,865,245,101,099,531,
035,154,939,216,286,191,495,908,359,304,789,919,443,646,440,964,277,731,889,
963,667,721,365,042,712,622,777,572,161,788,091,948,464,171,246,884,381,774,
918,194,222,526,357,970,169,270,843,206,875,541,331,897,422,960,830,606,433,
848,955,034,823,904,179,311,393,014,857,428,530,505,428,216,000,977,693,973,
265,413,234,569,044,906,208,847,985,083,846,091,683,865,853,835,574,580,770,
679,772,499,548,688,070,231,963,294,251,495,694,949,897,392,665,918,576,642,
064,445,188,184,625,332,791,356,076,933,990,373,343,568,623,136,444,686,515,
134,906,615,836,963,243,783,975,632,071,055,284,229,521,658,243,419,895,578,
249,571,803,891,237,998,367,047,465,320,402,324,482,264,961,579,287,207,238,
443,839,160,959,171,424,549,654,506,422,901,401,566,361,616,656,105,738,137,
536,145,249,733,538,476,361,691,255,570,292,107,660,321,967,330,597,257,747,
870,336,752,292,635,534,630,494,222,183,130,784,896,852,057,285,197,095,656,
853,130,675,585,202,248,698,817,140,599,501,063,520,993,788,470,673,739,727,
422,524,531,264,192,645,570,956,514,794,526,687,138,872,537,653,149,108,002,
085,915,796,957,694,876,214,047,711,535,740,183,713,991,288,179,450,810,578,
391,609,099,890,358,099,764,223,968,641,267,376,039,330,442,755,101,934,126,
950,455,320,850,623,531,958,382,225,533,359,548,496,769,645,294,112,588,656,
053,507,496,432,741,299,301,438,103,340,918,343,349,069,057,816,003,325,987,
429,261,516,017,119,840,767,875,905,795,222,817,145,224,613,711,367,638,910,
937,440,270,899,508,564,727,997,911,429,853,947,714,542,114,346,841,568,654,
729,753,117,882,995,139,638,608,896,752,531,643,938,344,055,702,664,681,079,
332,463,744,608,733,110,604,562,625,274,024,408,245,760,651,665,679,495,827,
912,111,239,949,734,533,183,228,942,684,197,009,054,298,067,230,269,712,773,
629,892,105,600,991,065,212,793,222,193,961,019,265,319,273,823,567,287,104,
342,242,568,214,750,958,240,916,255,922,629,362,927,146,639,835,598,359,534,
413,890,987,269,489,739,837,555,314,932,220,554,959,308,761,719,095,501,082,
242,753,591,390,935,130,723,364,285,051,432,383,665,531,310,399,241,523,337,
509,793,307,607,195,538,051,873,631,915,064,684,773,122,674,058,661,319,796,
034,155,925,193,074,651,269,932,145,802,153,816,625,981,814,847,619,633,321,
970,695,701,905,185,076,830,363,037,242,908,134,817,814,493,455,593,017,436,
076,859,539,495,284,561,861,803,714,079,226,708,645,181,842,878,084,534,488,
756,710,459,473,402,457,207,882,924,189,957,946,428,864,233,422,856,247,526,
201,996,875,549,872,836,496,803,244,800,697,212,055,698,882,681,941,070,251,
233,740,208,560,790,882,699,902,490,673,790,777,029,114,943,068,280,077,468,
793,128,258,846,308,419,599,184,035,125,889,417,784,517,633,314,821,742,824,
974,509,643,303,583,901,235,552,443,193,549,833,190,590,024,228,458,853,540,
276,404,616,269,275,674,553,327,206,326,488,798,760,337,619,990,821,544,653,
016,994,359,528,170,522,379,017,733,283,860,282,467,937,112,522,844,726,110,
477,211,878,950,493,227,183,652,832,291,288,466,624,765,587,573,407,126,773,
452,847,536,639,232,681,536,948,213,550,918,054,540,381,553,423,667,312,933,
338,959,588,646,368,621,912,206,092,222,925,941,651,388,704,041,974,489,330,
352,627,518,988,182,725,133,835,553,689,677,002,244,708,338,657,518,473,190,
786,309,372,402,161,907,056,773,106,993,468,801,721,471,486,274,488,680,266,
809,274,167,827,804,465,782,998,759,750,663,684,269,985,852,772,442,751,575,
201,163,688,716,566,886,486,534,222,841,030,886,627,139,826,627,854,999,347,
406,569,053,642,490,673,125,494,084,280,475,591,092,520,691,598,399,727,323,
567,428,647,375,026,014,867,719,043,718,536,762,349,039,896,603,991,632,159,
175,837,443,492,760,332,816,265,430,949,977,601,246,260,498,099,560,684,202,
335,303,450,651,200,353,323,715,980,434,926,520,711,829,946,919,513,103,331,
376,711,850,746,331,989,783,127,728,906,275,338,132,930,499,148,750,114,988,
131,927,853,565,787,474,126,739,956,673,526,532,086,770,917,478,471,863,825,
846,471,373,925,605,943,634,102,813,513,756,362,726,086,721,760,804,430,955,
221,085,633,032,733,799,849,330,963,587,250,448,821,095,594,788,633,585,591,
339,036,314,620,261,789,063,674,431,846,362,521,026,137,850,944,127,920,914,
916,769,678,232,497,329,788,942,344,031,713,821,371,079,975,727,190,877,593,
149,004,524,363,708,191,734,819,560,027,411,615,322,109,452,419,799,829,760,
331,480,331,822,870,215,848,608,690,159,563,585,128,564,077,982,539,669,654,
586,014,262,447,195,756,304,461,373,400,373,178,430,667,927,495,789,765,223,
159,043,202,961,882,473,260,477,757,266,555,922,225,575,997,421,618,615,658,
726,137,383,384,609,333,875,416,916,533,134,230,723,562,594,338,572,130,218,
350,012,806,294,321,383,275,045,252,532,817,353,521,774,400,605,306,197,274,
345,756,061,194,402,996,095,907,998,074,179,125,067,209,480,399,976,699,353,
071,738,037,578,392,381,659,958,890,563,768,898,370,349,014,244,861,033,280,
957,313,574,134,531,761,026,690,943,942,220,544,215,610,403,365,926,855,608,
468,289,117,476,798,334,885,110,964,614,448,192,682,764,516,442,297,196,326,
786,107,269,697,149,525,514,622,058,606,498,399,946,746,149,784,234,188,909,
803,661,087,128,885,741,539,590,709,048,122,693,201,358,567,778,972,104,174,
429,729,587,634,018,698,907,120,128,385,536,451,485,030,061,139,185,019,624,
786,839,191,094,781,199,977,375,744,119,384,930,307,792,206,202,652,384,267,
574,773,695,097,075,119,218,210,542,970,496,272,716,788,748,994,582,532,791,
137,375,638,258,033,011,889,977,477,789,378,373,272,880,449,650,481,362,783,
810,052,223,416,381,051,556,845,635,081,361,323,144,690,075,341,563,900,649,
078,234,837,709,107,916,225,632,207,149,765,432,360,904,770,348,149,600,026,
071,210,977,070,950,514,351,671,362,894,818,380,448,835,068,105,071,769,425,
873,193,171,969,398,219,900,183,507,668,571,827,628,541,508,715,940,062,337,
887,726,563,170,904,889,119,827,895,403,390,320,064,454,287,420,141,866,112,
249,140,839,068,494,213,144,168,820,397,898,499,613,327,891,842,900,073,498,
489,134,621,962,752,508,049,155,158,903,806,922,334,956,428,832,836,413,901,
075,776,688,342,367,740,051,380,810,746,233,136,599,337,334,546,188,216,052,
693,343,857,620,959,508,849,809,245,851,409,927,012,190,190,611,208,253,544,
809,896,623,013,371,075,986,759,147,661,918,480,519,178,526,211,196,841,695,
407,885,746,390,695,522,147,625,387,507,907,604,327,141,212,439,851,891,973,
003,021,254,780,045,485,766,355,500,428,027,891,824,179,845,549,513,836,006,
145,696,885,385,869,555,601,976,174,248,348,009,979,784,151,524,314,110,924,
978,164,684,052,199,091,298,986,614,773,216,420,613,631,542,236,156,622,723,
766,381,116,636,128,339,865,323,035,940,829,015,966,371,687,990,051,551,992,
704,270,336,574,921,185,966,256,853,556,893,534,199,008,849,348,166,469,937,
899,267,912,461,458,237,152,521,899,827,123,919,643,252,489,914,591,770,268,
597,925,204,430,531,810,649,643,022,400,490,956,725,448,146,769,297,844,987,
516,417,195,056,853,971,878,422,019,360,396,689,087,914,371,689,409,008,353,
257,461,266,224,639,280,753,824,567,935,422,788,686,266,951,942,341,125,387,
100,299,678,696,194,080,148,893,834,053,653,888,258,889,763,444,419,574,965,
042,166,375,487,155,547,995,655,994,396,119,857,655,085,056,587,771,362,548,
410,778,136,159,269,753,099,584,441,346,104,755,840,915,751,207,160,795,859,
314,322,922,627,903,083,374,736,189,468,400,805,881,798,951,840,821,508,061,
486,879,872,240,260,985,802,190,791,402,174,422,190,733,582,999,979,050,237,
719,390,539,517,068,493,851,024,045,975,201,496,589,260,773,749,076,327,195,
594,283,182,765,821,204,696,935,437,333,533,143,415,183,394,008,618,019,673,
871,330,011,791,604,125,834,344,505,993,401,970,258,478,800,918,572,655,047,
351,684,680,783,819,777,952,738,440,232,552,433,167,878,640,746,184,928,224,
884,571,101,908,022,940,037,926,754,505,667,844,436,230,623,129,854,598,636,
919,138,978,639,336,169,064,761,763,880,713,791,450,142,031,121,862,500,325,
479,413,412,432,259,139,533,634,088,206,978,913,942,752,106,467,302,203,779,
638,579,063,276,734,414,049,239,952,637,538,815,933,736,128,397,621,795,212,
911,956,521,975,748,840,604,435,498,715,416,391,858,105,457,885,846,444,735,
641,621,880,880,199,379,637,885,880,976,269,812,578,384,548,599,022,753,680,
957,453,605,011,931,509,206,742,003,363,279,240,731,847,989,771,689,371,922,
405,887,459,352,288,902,359,677,323,937,110,484,361,744,530,313,991,494,701,
678,929,602,353,269,817,528,297,976,317,861,798,128,751,392,691,983,226,539,
544,672,480,580,806,160,156,695,718,895,093,207,052,433,384,523,479,661,783,
191,308,561,396,446,474,813,370,285,803,744,146,849,457,515,479,767,906,846,
496,828,025,455,345,519,016,833,989,467,621,737,688,809,423,239,576,087,823,
035,540,908,138,857,694,484,219,384,556,229,326,286,445,271,107,679,267,155,
832,487,854,317,210,215,181,506,053,614,080,725,475,281,019,801,235,794,713,
880,898,255,002,564,078,990,387,015,965,201,306,389,150,051,829,600,690,209,
644,417,136,543,883,219,296,331,119,442,052,111,410,007,078,093,879,886,750,
126,912,836,533,946,856,983,488,905,637,863,079,826,403,836,639,738,129,211,
429,784,785,508,944,526,365,715,674,520,464,892,676,188,511,277,918,622,141,
806,674,114,444,156,740,369,778,891,756,383,885,668,871,564,829,312,258,905,
212,687,738,676,023,642,363,116,102,175,729,846,949,215,838,488,855,676,989,
570,712,370,283,406,281,382,985,286,091,144,174,185,197,079,580,539,310,024,
609,413,157,720,429,556,314,722,593,129,265,403,825,158,554,114,955,711,739,
676,265,844,129,892,721,215,661,241,926,459,400,996,919,515,409,615,796,943,
786,636,086,019,070,128,514,834,879,171,893,096,315,645,719,679,573,624,475,
589,096,887,273,325,532,528,636,599,621,160,114,065,625,326,209,538,883,053,
201,605,272,732,703,913,913,292,145,485,374,744,756,919,713,245,919,139,630,
475,603,335,517,306,512,486,756,111,824,115,369,392,849,179,305,516,488,965,
750,861,196,875,893,201,241,612,249,865,190,299,906,025,888,310,882,426,479,
266,503,624,059,466,696,028,863,967,041,006,756,256,458,992,250,383,655,914,
641,596,373,195,982,314,571,662,303,270,909,204,151,570,100,006,960,263,420,
664,958,219,051,610,283,254,550,020,743,931,633,925,703,346,605,584,531,799,
593,080,536,754,517,771,842,344,466,708,148,070,087,440,583,416,566,855,016,
604,038,968,681,650,252,473,842,153,986,608,352,737,730,707,789,313,676,801,
279,799,850,683,455,839,700,772,898,761,787,730,547,016,107,787,475,625,108,
544,823,642,584,215,030,244,387,403,621,477,962,515,656,800,691,205,737,382,
382,380,530,523,709,509,688,705,681,005,123,762,119,251,859,151,327,624,513,
720,316,102,109,556,477,378,881,076,463,787,065,991,078,971,117,796,476,874,
057,256,867,348,143,702,947,072,755,892,012,790,792,462,928,909,008,135,094,
209,319,129,059,355,484,607,668,489,424,778,287,631,346,179,776,919,766,819,
408,438,629,770,954,515,195,573,347,701,406,872,406,449,839,250,598,567,926,
986,131,882,641,579,935,796,952,181,705,810,242,428,733,310,806,754,600,245,
140,969,383,138,751,027,307,005,557,162,041,684,693,139,181,969,821,240,907,
192,108,579,547,886,187,568,391,307,884,851,209,743,100,694,062,600,164,675,
395,958,161,945,160,649,140,783,861,192,087,404,029,008,888,067,390,117,324,
828,418,684,067,593,712,003,766,052,969,490,644,831,947,159,240,870,604,576,
075,057,949,303,098,818,145,208,128,107,578,852,992,147,845,598,285,779,999,
872,291,789,057,601,348,856,496,201,127,943,717,934,678,406,937,983,942,188,
907,703,065,915,423,899,412,501,744,968,385,861,741,725,880,142,619,140,964,
897,103,022,916,819,337,798,482,074,984,019,964,011,596,542,885,852,072,989,
284,419,790,153,575,062,669,932,667,874,185,579,687,507,261,661,269,582,258,
106,268,057,080,271,387,908,032,657,838,119,324,819,668,982,650,978,024,197,
750,204,700,223,214,402,258,172,920,964,972,261,580,679,637,448,001,498,193,
307,947,360,520,045,600,100,269,112,314,201,420,228,725,683,601,472,670,884,
788,981,825,310,379,256,066,296,302,284,982,010,671,512,297,573,230,621,749,
672,460,641,479,159,663,647,626,415,296,653,632,797,532,726,735,033,074,079,
683,034,040,884,556,853,318,797,822,867,756,117,613,793,077,966,707,683,494,
687,879,650,197,143,496,556,178,268,243,736,492,914,767,137,974,257,284,702,
276,662,056,816,029,726,607,352,745,944,285,128,625,906,932,791,025,329,956,
921,185,318,358,186,719,628,261,400,355,056,055,369,252,158,674,647,530,073,
232,344,119,543,555,789,791,435,537,240,184,568,269,515,953,430,173,599,409,
076,379,051,383,276,904,130,120,418,740,389,480,530,302,281,888,373,239,493,
803,414,251,416,448,226,585,930,347,629,242,690,679,204,212,418,666,257,053,
849,196,407,619,270,277,562,277,604,723,571,315,046,825,228,655,814,687,999,
000,431,610,810,545,373,386,823,931,954,001,766,127,421,474,050,442,189,449,
218,438,879,732,906,221,514,337,033,404,863,228,803,423,127,160,100,962,727,
988,150,881,825,749,120,648,967,112,203,391,566,495,665,314,581,357,172,276,
883,463,255,560,962,873,489,789,341,070,865,651,509,404,363,014,549,081,520,
150,445,656,369,120,170,722,849,131,983,010,200,141,951,787,199,541,246,997,
710,918,889,483,008,406,907,094,692,839,729,747,654,087,304,024,087,763,997,
961,839,641,623,303,542,478,848,589,081,011,727,369,959,663,828,944,735,864,
379,341,969,153,815,918,543,609,356,952,915,580,133,377,911,960,254,586,467,
693,556,513,458,479,327,654,644,347,123,644,536,537,356,316,531,028,263,876,
284,785,884,757,366,277,693,170,306,126,607,323,161,755,871,238,738,655,912,
528,341,097,620,724,899,435,908,499,243,700,399,811,225,523,015,563,059,835,
573,580,082,341,789,369,982,266,365,964,571,063,146,002,831,806,490,570,385,
271,936,030,819,801,119,565,642,079,923,479,135,015,140,023,495,152,823,176,
480,033,367,262,207,124,351,687,010,615,958,489,721,180,043,344,372,353,942,
149,895,164,352,614,925,506,141,837,029,770,073,542,582,295,718,305,559,901,
460,552,407,137,594,563,904,705,121,116,731,601,170,353,837,072,942,496,928,
254,113,433,904,211,630,832,427,092,318,582,519,147,752,690,036,865,550,009,
210,480,475,078,234,055,028,634,046,436,474,058,135,978,109,793,361,717,219,
830,663,333,097,020,257,689,577,583,422,049,471,835,016,284,949,012,652,686,
881,121,231,893,057,746,428,901,871,931,206,960,187,924,889,581,698,481,272,
434,886,998,006,503,137,917,693,914,776,922,695,564,119,781,160,552,150,864,
647,660,457,433,003,204,393,623,608,698,196,487,065,430,415,905,819,164,706,
318,464,597,384,593,223,345,134,129,110,083,026,164,208,578,776,141,167,747,
363,080,340,452,288,197,814,653,775,509,810,486,660,774,424,631,322,341,691,
525,059,123,719,216,057,260,219,043,445,475,988,498,235,780,101,591,878,388,
835,764,156,741,377,729,100,881,028,284,609,288,865,208,632,228,894,069,246,
877,334,843,618,371,506,299,337,619,376,872,765,415,382,317,201,787,305,174,
185,365,262,894,200,839,694,940,496,789,557,751,847,233,800,954,584,591,819,
610,219,669,544,077,809,326,138,174,608,886,568,292,141,747,616,582,339,750,
391,964,644,923,253,380,990,737,465,926,453,000,930,722,522,452,951,695,964,
078,427,518,497,184,142,576,241,876,712,442,107,162,048,472,357,132,179,957,
068,653,569,545,990,654,743,079,356,511,926,891,243,307,661,179,372,356,843,
957,375,002,614,158,664,217,970,248,818,556,923,387,838,900,477,508,174,082,
290,714,567,709,558,174,467,135,129,676,848,377,948,966,418,105,926,018,993,
725,588,552,565,766,010,666,824,848,166,040,189,956,974,506,744,718,220,832,
188,730,493,061,995,607,790,344,140,465,764,459,645,088,484,799,141,042,634,
185,137,708,926,876,990,777,299,516,172,733,678,839,444,493,856,931,651,120,
336,309,573,914,526,580,097,177,090,420,531,837,066,284,723,666,889,360,223,
181,133,636,143,970,192,364,279,867,762,796,800,912,792,270,142,160,182,152,
072,194,719,209,067,615,678,000,081,934,100,892,678,639,781,759,128,645,565,
506,464,442,456,401,901,864,292,205,559,391,489,043,441,977,566,090,315,724,
769,108,798,944,399,630,974,274,180,913,997,049,157,158,965,246,509,975,813,
143,701,662,808,725,024,841,313,310,012,516,496,802,205,214,376,563,188,709,
730,629,243,806,897,233,536,483,314,486,720,897,502,761,469,863,094,483,019,
012,267,771,149,620,503,869,683,687,920,125,928,786,665,045,604,614,975,846,
862,827,787,040,934,175,762,040,188,812,531,912,879,196,585,203,077,346,965,
035,305,486,619,593,060,842,877,429,894,351,831,047,680,908,769,649,747,785,
532,821,132,062,589,006,850,335,913,488,244,756,533,784,074,798,611,708,194,
538,290,150,655,473,781,713,421,890,478,856,682,042,425,678,165,948,071,237,
809,706,502,572,062,203,873,262,116,167,615,491,272,190,798,634,678,780,873,
197,420,917,552,837,378,596,572,699,008,308,322,932,486,119,837,236,896,797,
626,407,099,463,053,193,394,176,810,185,283,500,919,066,931,034,189,252,006,
882,365,934,038,741,944,482,113,523,459,815,811,702,740,242,131,107,408,122,
506,425,042,895,208,681,941,653,059,162,215,194,984,929,929,136,597,202,133,
481,021,187,786,737,098,010,065,468,958,388,640,329,815,689,840,192,588,036,
697,584,380,321,537,429,659,896,091,080,976,537,444,483,193,742,562,248,869,
756,284,384,539,202,477,105,066,990,633,452,626,104,211,060,435,003,579,353,
988,681,532,760,544,687,274,629,178,253,792,447,114,090,872,300,442,746,939,
630,198,664,765,939,795,907,215,427,182,746,988,138,290,142,005,587,188,912,
088,531,001,250,685,738,974,863,450,485,997,257,325,469,981,676,909,089,286,
103,224,649,760,476,184,070,921,172,975,661,210,238,267,646,623,880,193,089,
920,724,796,266,582,787,294,992,715,845,714,191,741,412,203,796,658,243,765,
799,568,971,185,373,370,443,269,868,287,273,367,871,830,122,879,072,602,127,
315,449,508,530,999,180,642,552,711,583,412,362,095,206,457,204,042,516,819,
813,666,939,918,936,952,369,520,127,425,099,787,542,619,634,652,736,141,927,
481,584,843,188,296,745,374,802,470,660,026,938,280,292,214,862,489,475,488,
650,795,363,097,537,829,325,295,937,470,637,733,877,368,670,181,071,954,923,
396,748,394,916,408,092,504,873,759,671,428,166,545,796,870,482,589,751,165,
224,385,922,425,565,027,739,917,723,690,384,312,453,511,625,295,220,313,143,
173,493,016,440,559,063,607,260,291,180,107,897,237,196,297,432,783,810,887,
638,327,845,361,653,275,279,188,263,191,645,883,020,645,035,129,519,431,602,
233,389,751,381,760,619,458,386,023,589,028,803,067,282,887,300,834,744,020,
126,830,048,666,947,379,273,664,588,508,047,056,574,616,479,896,005,544,641,
454,216,315,425,412,230,678,668,740,254,814,847,024,571,508,471,516,148,239,
127,370,159,399,246,138,942,558,566,092,314,831,578,285,944,179,985,885,431,
043,065,462,169,763,418,470,855,379,298,947,716,656,474,756,868,945,961,557,
004,055,667,731,643,586,997,213,229,263,509,701,113,438,685,778,267,122,981,
962,565,755,859,584,977,675,990,549,608,890,581,459,952,088,467,057,193,280,
780,738,223,729,288,862,170,663,248,938,287,982,238,478,634,556,190,495,238,
352,753,193,265,415,271,313,632,177,301,758,793,244,749,762,303,491,963,096,
554,739,281,468,651,637,494,235,412,130,361,414,039,558,453,841,823,907,063,
772,180,193,978,327,976,036,015,514,053,936,023,512,649,966,899,996,283,151,
664,844,602,993,194,257,758,141,189,394,367,767,152,200,141,702,263,386,600,
023,233,265,939,851,418,592,973,124,141,829,455,220,043,294,790,682,368,003,
852,438,939,809,664,457,125,013,754,191,471,365,573,039,161,592,044,603,077,
789,502,889,625,409,715,723,203,325,521,371,846,905,981,047,530,413,213,961,
561,212,120,854,949,773,650,573,704,904,327,468,990,410,775,900,653,374,881,
006,980,989,779,210,500,808,152,923,071,893,799,076,235,056,641,899,310,319,
850,800,843,106,196,445,315,701,255,853,911,262,798,846,530,632,304,932,973,
283,340,578,775,979,285,006,905,374,179,218,673,241,016,535,869,784,415,815,
530,321,041,097,740,915,198,595,333,828,543,546,901,364,900,008,531,231,308,
686,834,495,779,588,769,583,399,049,209,378,330,891,213,132,481,702,244,864,
792,783,319,913,553,134,695,077,792,857,817,843,481,719,833,243,164,011,201,
371,006,917,172,672,021,280,542,735,876,747,153,187,036,212,104,193,277,191,
711,365,970,511,506,224,454,901,751,813,989,976,055,523,824,294,620,144,898,
111,199,026,794,211,136,306,002,941,401,222,802,688,701,171,161,796,047,533,
820,284,365,004,422,941,044,359,207,236,585,039,767,138,736,656,171,772,359,
266,947,743,548,427,364,522,702,644,486,685,869,364,511,293,163,952,037,124,
905,367,644,999,208,808,515,197,794,733,457,315,686,798,033,269,628,203,088,
498,636,826,989,554,532,556,423,328,217,904,200,509,822,474,134,805,307,446,
370,388,515,011,456,390,723,466,895,617,749,219,474,010,892,452,738,533,968,
478,489,124,403,624,462,333,878,190,205,314,450,713,408,549,729,552,301,189,
567,517,816,705,255,061,361,772,154,145,423,178,388,063,680,310,687,302,268,
805,665,391,577,610,331,622,310,053,444,116,947,845,522,230,291,513,928,581,
816,002,279,167,875,446,099,933,893,205,129,218,894,290,817,401,433,372,306,
202,695,171,295,826,635,830,669,089,473,739,036,127,863,621,900,063,873,250,
785,019,495,824,914,290,347,796,318,538,240,761,392,416,104,285,027,221,444,
545,797,152,346,676,248,300,714,508,183,680,737,427,743,869,876,867,545,523,
616,817,302,371,935,400,003,153,032,643,975,011,761,328,046,700,572,083,023,
815,075,411,766,169,451,655,885,961,436,339,001,929,417,296,777,538,580,085,
998,144,096,474,987,883,374,506,336,008,576,765,422,041,187,568,662,622,962,
428,756,502,839,784,169,675,234,765,228,237,039,048,115,978,549,680,667,538,
612,100,571,021,461,547,449,580,198,729,043,186,150,498,815,497,947,299,292,
252,854,914,997,331,007,335,219,495,142,033,361,822,741,075,554,452,078,495,
545,142,992,836,787,899,236,463,859,708,733,309,672,780,252,005,404,644,510,
215,797,970,392,250,887,395,369,848,617,384,428,958,354,938,177,094,146,346,
839,506,480,963,539,305,896,073,044,376,836,556,724,203,385,716,956,804,121,
128,632,350,929,040,806,650,325,858,813,636,553,162,758,791,464,301,754,672,
981,541,342,229,550,657,072,877,236,518,089,337,246,444,236,342,283,175,326,
497,282,968,686,927,138,192,335,292,852,199,512,410,543,033,756,317,693,624,
949,358,863,322,834,309,918,989,466,139,179,049,647,752,019,488,273,386,201,
189,280,487,566,252,843,127,134,608,360,515,547,686,392,265,422,290,727,555,
201,165,508,636,564,945,328,324,758,447,732,696,138,212,170,299,254,032,920,
740,334,412,069,248,444,562,433,733,489,080,973,601,239,147,528,540,477,277,
607,066,158,839,672,297,022,213,181,582,398,810,938,025,081,919,751,471,322,
211,453,138,880,577,695,573,603,606,302,072,356,890,551,081,745,527,032,797,
584,245,327,995,108,433,426,246,534,634,470,661,185,951,345,805,305,357,245,
247,376,745,289,344,433,510,789,134,428,510,913,443,167,878,745,070,546,656,
423,032,143,725,143,326,751,485,384,721,082,806,712,650,845,039,585,779,432,
064,766,380,163,678,793,645,879,081,289,823,023,813,830,100,695,888,527,762,
695,802,362,186,358,744,778,275,893,437,593,721,758,583,860,016,979,294,688,
073,445,751,955,474,387,457,335,975,480,958,831,953,268,094,678,277,824,678,
092,914,783,323,282,320,784,714,714,327,895,959,034,768,991,813,252,359,050,
113,737,766,608,575,713,921,018,759,732,713,226,910,362,057,496,310,931,332,
525,319,900,719,349,589,195,369,300,333,224,394,070,089,499,147,576,489,000,
219,968,667,312,758,250,923,077,569,618,595,951,785,480,181,895,609,298,444,
215,738,236,877,202,141,449,724,608,802,803,001,569,768,500,893,994,007,952,
153,049,651,723,546,245,450,180,846,537,919,541,826,623,548,535,380,481,624,
794,778,696,186,959,533,294,905,349,976,853,095,986,210,955,318,181,117,183,
242,100,086,356,297,376,123,454,610,312,732,789,530,556,646,639,334,910,471,
788,296,447,903,772,260,945,467,952,884,262,222,114,256,960,852,092,096,423,
286,427,363,746,674,124,254,563,911,948,632,238,648,742,422,169,076,671,578,
713,608,933,337,977,064,415,715,410,816,898,774,470,484,873,654,255,930,521,
517,338,888,083,319,725,483,576,472,735,882,684,408,462,956,699,629,257,421,
873,567,985,658,177,344,208,260,377,923,312,233,388,136,644,515,116,253,950,
454,312,234,094,323,519,669,010,210,937,579,140,938,326,153,414,329,000,729,
130,966,371,498,544,532,695,632,203,884,211,603,814,900,559,595,631,701,863,
059,973,567,189,072,701,565,773,508,138,981,520,261,911,032,153,630,645,251,
891,007,286,573,810,073,236,754,168,456,334,145,374,121,918,480,046,124,292,
187,824,325,174,763,518,310,026,237,744,753,984,093,620,650,142,276,309,655,
756,129,956,364,692,934,856,210,895,968,104,906,294,131,939,592,897,887,527,
779,238,856,437,224,545,825,746,519,038,188,703,424,170,082,775,692,826,923,
337,640,436,198,803,131,186,210,904,458,009,014,958,375,592,617,897,628,133,
846,305,354,208,841,236,802,591,262,176,259,864,800,406,524,978,052,610,353,
609,910,100,231,670,901,399,075,858,546,687,416,074,317,081,830,746,773,038,
861,939,706,037,807,903,496,251,618,573,039,488,331,871,127,136,116,252,023,
942,558,224,342,280,058,708,914,169,015,245,945,580,305,870,283,761,602,965,
046,181,451,402,531,006,086,269,360,652,125,412,847,990,728,860,734,794,144,
245,826,275,304,147,021,721,966,321,067,981,234,077,593,259,457,451,262,848,
831,615,457,522,608,508,739,622,735,612,406,885,913,477,476,830,271,915,712,
760,735,251,170,675,126,608,459,006,894,356,807,401,208,387,113,234,464,940,
899,678,587,640,347,020,279,126,184,887,907,595,719,430,326,368,626,876,297,
029,067,415,626,580,774,575,834,934,829,729,032,160,257,060,500,629,276,153,
032,464,757,455,504,282,616,553,344,914,084,687,943,211,958,994,822,315,718,
188,904,881,697,490,362,568,030,615,970,535,865,808,599,174,969,617,957,112,
101,900,551,701,790,785,705,906,208,282,822,413,144,812,762,506,574,617,594,
954,624,698,432,268,821,525,447,524,340,330,422,520,234,786,873,406,407,225,
058,381,085,896,302,282,172,269,183,846,177,720,226,705,406,117,205,579,701,
793,916,140,080,171,095,554,197,443,816,855,979,166,799,628,071,050,381,360,
648,453,627,922,934,932,892,987,687,914,797,711,455,198,823,412,679,408,724,
325,800,781,829,242,306,253,061,661,235,873,158,638,085,582,522,600,403,128,
597,839,375,774,226,680,345,542,561,178,692,277,184,353,637,685,105,857,718,
174,653,736,411,755,739,347,104,713,038,653,276,300,570,902,081,590,300,859,
005,661,439,712,082,120,894,892,458,250,920,950,573,476,267,783,342,297,175,
858,471,355,074,235,845,984,266,958,628,948,810,896,475,375,957,651,960,296,
870,412,312,712,027,008,121,140,325,905,604,157,139,276,007,043,249,385,902,
147,602,190,129,228,322,911,926,626,844,138,401,404,937,215,259,771,797,785,
388,473,405,992,001,041,091,408,406,326,803,865,263,250,677,253,301,258,511,
964,267,606,413,376,852,010,808,395,766,124,176,620,273,491,057,703,346,724,
326,217,142,583,788,733,820,396,623,286,809,030,658,279,572,357,103,395,192,
638,879,402,013,449,496,963,867,573,990,893,110,540,756,402,320,974,077,592,
711,211,635,301,577,486,229,267,021,196,896,757,835,693,663,744,973,057,364,
194,199,101,802,902,485,508,846,393,353,106,961,019,355,905,846,344,392,343,
058,059,933,725,057,899,475,388,476,743,870,972,249,346,191,920,829,721,122,
989,747,899,300,475,811,544,340,599,414,885,255,878,759,210,024,645,008,309,
963,303,584,908,537,871,391,007,412,753,434,073,866,240,547,583,884,469,550,
976,064,476,755,636,069,719,012,902,923,564,602,980,174,127,188,802,580,951,
058,537,893,226,318,452,327,064,255,447,631,979,717,535,184,428,869,565,625,
897,904,353,237,344,270,972,249,365,303,735,884,542,374,018,713,293,756,559,
779,698,309,661,687,726,479,813,540,203,156,339,690,017,910,744,991,794,693,
466,982,068,642,031,069,129,372,116,698,383,007,435,804,998,242,976,263,030,
068,614,769,086,309,846,458,476,630,112,605,331,874,954,469,142,445,193,845,
200,018,386,914,128,015,206,223,881,170,714,857,192,481,905,326,948,332,894,
359,443,887,260,556,911,533,566,844,623,666,558,234,857,465,196,112,136,909,
669,518,076,318,471,452,303,544,611,277,925,489,671,344,741,967,328,064,268,
987,653,288,026,390,152,925,301,086,208,363,317,898,406,768,794,249,130,130,
525,953,432,951,786,943,866,373,422,149,574,357,932,682,918,137,362,810,288,
449,604,344,262,075,801,461,841,652,946,571,853,810,462,377,281,968,127,577,
037,937,771,914,859,963,964,633,134,270,818,771,375,340,556,985,305,357,072,
095,334,316,188,803,823,829,238,682,150,534,996,496,243,189,426,596,610,181,
345,895,312,780,148,466,882,679,582,004,123,148,579,536,082,639,679,883,166,
969,751,923,600,159,917,923,323,270,604,356,792,643,813,836,140,180,773,865,
383,370,386,751,084,814,636,915,211,194,325,272,813,999,582,797,124,997,498,
952,338,718,183,071,994,616,962,217,451,451,780,004,400,212,321,500,543,870,
741,564,153,921,794,037,071,697,287,499,120,224,370,128,989,585,077,304,785,
235,448,289,744,696,674,620,875,453,420,041,059,138,148,475,177,677,741,753,
305,062,473,181,653,769,721,515,593,910,064,615,771,294,080,683,526,937,327,
303,932,773,807,972,880,980,783,457,886,812,062,154,861,044,008,173,560,828,
762,284,132,741,422,552,477,903,354,839,972,264,718,414,069,028,172,173,715,
071,165,651,898,088,359,022,013,800,799,757,126,351,002,223,089,762,840,487,
412,850,219,989,878,426,683,660,077,635,507,667,885,364,607,456,105,141,480,
869,746,120,448,513,072,945,008,129,744,680,979,401,065,984,866,857,889,936,
120,337,208,772,747,710,141,450,036,261,105,131,255,941,900,052,029,010,459,
700,518,599,254,774,566,756,663,924,983,398,185,104,956,328,536,102,165,842,
693,000,040,136,887,000,413,595,300,548,358,341,043,810,583,554,510,811,117,
396,794,406,960,498,974,829,192,536,053,115,434,458,049,762,440,492,189,548,
090,717,120,508,635,206,541,145,057,674,442,696,731,801,828,766,576,244,675,
811,970,735,194,090,328,856,716,074,401,632,077,298,586,231,772,036,720,314,
408,639,258,812,310,520,958,852,483,895,386,329,299,447,478,174,279,881,996,
887,643,207,015,049,145,492,280,856,871,803,244,341,121,302,135,018,686,454,
636,529,203,242,349,664,430,672,360,979,821,288,803,350,351,295,895,672,474,
963,848,919,284,549,079,118,714,579,679,369,742,186,916,705,064,830,356,848,
507,835,465,523,558,816,259,564,010,270,662,138,304,987,075,163,401,635,491,
262,794,980,340,752,582,387,907,608,129,339,225,077,673,207,878,561,502,095,
858,332,060,598,543,966,308,877,887,972,281,359,483,481,970,534,009,901,467,
700,063,582,477,847,428,072,976,316,874,403,251,534,618,141,044,093,763,251,
394,595,457,493,158,665,104,427,450,138,193,912,569,909,688,877,813,795,398,
193,660,431,558,813,924,594,002,910,265,996,687,633,590,807,157,299,541,666,
237,918,660,988,264,147,885,369,979,384,532,985,258,008,244,546,580,526,986,
169,391,876,680,723,110,695,448,634,621,386,540,543,926,591,554,471,473,056,
474,061,184,563,636,922,962,383,143,704,262,532,006,352,435,581,094,018,993,
756,277,561,195,949,092,296,929,471,335,692,090,072,752,635,865,458,565,742,
591,939,106,228,758,797,500,514,880,027,329,970,449,694,155,754,828,012,971,
955,910,715,302,845,795,778,694,303,749,148,116,118,835,245,649,701,048,554,
273,083,277,747,744,680,657,039,853,071,011,201,484,401,005,064,933,613,239,
430,106,035,381,012,126,312,359,487,492,248,340,534,589,232,015,373,266,915,
135,177,237,404,688,155,460,871,694,101,668,677,977,608,471,893,596,816,775,
707,836,199,420,982,721,201,736,079,707,996,389,769,283,540,714,874,371,324,
599,184,530,522,325,972,901,680,817,304,184,485,254,196,079,000,953,921,385,
857,171,704,845,781,154,163,127,979,561,498,391,282,742,226,969,449,302,239,
714,111,263,708,982,940,518,071,692,865,764,026,147,260,010,363,646,998,118,
930,125,921,027,104,590,239,018,113,689,266,321,246,235,073,768,376,387,556,
436,436,406,625,607,421,736,182,000,321,521,995,855,086,520,663,239,359,458,
328,073,903,037,609,752,497,464,800,919,199,235,859,592,756,672,695,854,009,
534,351,238,627,439,776,144,989,822,453,568,666,259,707,064,469,082,252,581,
540,395,740,736,085,167,735,659,165,419,161,345,247,264,642,011,279,638,025,
697,026,981,199,751,911,911,782,957,307,585,012,178,449,759,573,914,753,136,
934,850,908,422,261,971,389,332,845,054,685,383,119,214,985,599,261,669,988,
245,346,880,374,993,306,103,656,385,989,957,878,018,568,924,189,686,110,817,
438,702,455,315,579,514,042,401,293,352,366,371,727,057,954,759,715,074,149,
049,171,791,834,824,598,599,349,103,425,848,422,307,017,380,848,376,044,748,
761,990,139,986,387,163,166,803,789,436,089,445,625,896,893,624,273,383,286,
641,536,075,132,944,615,246,265,143,087,082,197,648,786,684,362,118,697,765,
754,588,984,632,979,300,595,800,919,722,130,592,864,302,131,797,782,169,890,
076,272,234,411,152,438,189,499,322,455,904,369,040,732,395,775,693,597,283,
448,519,348,361,409,341,278,367,261,475,448,559,288,423,789,318,763,377,221,
389,266,493,086,199,958,953,569,321,488,841,843,034,696,370,212,485,391,113,
355,086,116,199,641,981,129,625,906,000,428,671,588,846,958,495,990,774,854,
089,036,340,293,759,915,743,701,746,399,706,211,187,032,230,532,558,008,009,
215,839,190,150,713,076,581,145,588,760,308,611,929,877,011,327,273,257,910,
163,069,742,986,114,839,035,903,815,411,730,389,165,577,558,780,045,213,400,
252,961,540,818,121,552,440,807,162,924,115,610,050,341,753,454,673,124,728,
504,050,783,367,236,450,810,122,020,980,894,378,038,438,640,333,594,990,419,
299,572,487,201,988,591,689,129,330,295,642,036,333,738,568,935,916,017,049,
680,285,860,198,159,943,366,541,099,860,551,955,953,569,421,837,800,832,860,
236,450,272,945,778,553,858,626,709,475,223,469,796,753,029,227,860,799,261,
697,512,579,037,495,643,108,661,337,755,521,984,295,277,030,847,912,300,747,
511,729,576,793,530,245,021,724,001,481,958,421,609,413,089,453,765,518,730,
144,638,157,703,977,172,300,352,934,894,600,868,248,470,286,184,249,415,453,
293,266,125,690,881,399,085,386,206,853,950,955,081,494,280,787,996,716,703,
707,285,661,449,029,379,887,471,072,501,194,289,892,138,225,450,687,321,372,
239,311,334,953,756,627,090,392,261,971,040,840,337,740,530,173,889,689,549,
286,927,178,242,798,894,272,928,034,833,385,624,403,788,844,257,910,243,156,
699,548,566,892,721,671,304,701,856,452,700,335,096,308,076,786,172,284,917,
006,981,869,613,075,081,661,824,390,304,286,884,028,810,221,738,053,267,696,
821,407,902,128,548,864,021,428,680,009,339,085,477,627,546,762,091,677,848,
001,153,730,226,635,217,515,438,474,091,171,740,043,046,320,777,469,571,724,
402,812,498,056,514,253,656,671,939,810,707,121,591,188,719,622,754,464,285,
215,324,937,803,642,809,980,194,125,194,812,011,260,946,964,885,634,413,829,
565,029,375,978,654,730,574,662,268,646,217,053,692,433,213,475,438,919,850,
419,592,269,896,477,059,326,416,934,165,069,942,734,809,323,187,007,300,984,
047,039,304,220,808,513,805,001,653,494,880,061,681,695,442,383,680,065,204,
804,434,593,506,324,973,513,824,929,262,135,070,780,556,539,811,964,770,743,
000,952,762,694,090,500,443,348,646,589,385,654,366,963,890,796,609,283,928,
869,230,114,221,756,892,345,122,012,701,967,148,684,185,045,422,466,815,602,
178,617,090,826,923,012,210,235,679,308,047,360,142,348,920,959,327,604,128,
955,791,048,715,144,629,774,969,604,234,937,419,401,281,586,334,284,279,855,
734,816,734,259,059,709,312,240,404,226,250,424,134,469,428,261,746,068,322,
441,539,940,733,518,262,659,734,336,262,618,440,452,373,923,958,137,726,898,
499,141,140,479,552,502,213,488,960,009,555,558,593,144,439,638,053,273,226,
690,953,971,914,433,737,996,503,757,634,587,667,330,673,492,594,386,660,303,
567,207,182,612,771,382,135,465,542,990,562,955,938,128,088,997,277,517,620,
292,533,830,923,489,906,711,747,100,207,229,757,285,215,763,739,792,698,068,
161,682,072,675,496,386,820,974,630,231,128,558,671,259,412,945,477,768,332,
358,401,314,561,966,000,056,280,569,959,451,842,615,065,447,339,800,581,854,
889,744,564,291,389,362,190,397,646,712,699,741,548,692,796,129,361,991,389,
325,879,610,838,361,152,444,345,557,977,368,969,252,251,992,865,756,459,483,
500,063,097,665,660,102,739,322,615,416,641,567,223,404,593,174,417,522,947,
913,355,502,760,684,980,745,669,427,596,648,040,239,707,200,983,813,161,341,
767,051,807,782,266,627,355,144,232,456,666,717,395,849,567,609,468,173,377,
458,896,419,196,751,536,665,257,850,304,378,323,489,594,410,214,637,972,855,
320,423,766,183,687,681,797,394,669,544,519,575,222,672,124,620,429,695,121,
496,470,462,129,766,283,851,795,358,448,846,486,380,904,040,477,220,816,115,
148,919,179,455,621,121,702,083,586,259,228,077,526,800,891,658,306,031,858,
420,574,887,594,245,666,944,957,663,353,845,646,886,801,641,835,823,222,782,
479,060,496,441,253,152,540,869,934,560,266,878,266,822,478,019,226,811,142,
349,968,671,941,777,460,666,272,570,347,375,864,118,472,179,789,200,216,191,
181,096,073,999,439,709,181,677,059,887,403,555,763,439,423,365,800,804,484,
012,002,338,914,624,355,289,061,068,055,877,942,179,386,871,848,012,141,304,
166,373,589,530,784,999,290,752,987,992,243,226,248,538,965,612,706,125,102,
736,299,052,294,898,616,332,516,691,094,117,173,185,565,738,784,128,036,393,
172,495,459,011,948,191,753,012,166,509,368,388,234,064,523,293,932,045,623,
646,789,514,254,356,214,755,098,729,851,919,975,614,015,952,814,246,187,591,
316,956,834,754,503,219,943,617,915,152,219,337,531,533,792,173,540,601,846,
492,647,753,013,423,337,995,154,953,695,083,497,148,809,917,968,553,833,041,
117,777,473,163,547,463,115,784,492,265,819,395,880,131,973,604,619,176,550,
289,395,336,476,967,601,947,709,213,184,516,428,188,244,089,490,465,491,361,
574,037,612,599,847,721,437,292,575,765,338,550,700,222,365,048,339,778,445,
384,600,053,548,453,529,989,641,083,352,507,014,487,848,184,895,626,738,329,
671,013,939,663,719,211,057,698,734,803,230,522,043,293,824,049,256,189,618,
682,980,412,109,732,057,209,677,386,697,464,837,773,436,173,067,073,307,081,
884,919,587,903,088,409,753,228,339,038,929,604,043,853,135,375,251,500,036,
210,420,178,184,380,774,352,993,600,655,025,215,506,223,073,176,183,065,371,
135,215,857,391,786,632,818,831,890,812,712,362,134,644,260,205,938,252,708,
825,698,999,218,076,959,882,822,744,969,086,722,093,153,594,772,162,682,353,
317,618,050,930,291,803,939,316,656,165,695,130,290,746,353,787,100,845,148,
557,688,410,926,745,299,408,067,396,066,723,126,512,117,392,605,301,724,657,
854,581,609,015,061,960,809,012,200,968,790,449,931,365,858,225,220,370,425,
626,430,947,954,383,298,195,613,905,281,428,248,915,863,955,602,833,311,981,
653,602,623,709,614,895,109,489,942,000,483,346,587,491,874,386,943,027,595,
811,211,115,228,013,890,876,963,476,938,681,843,792,285,532,026,286,968,186,
494,794,053,257,468,362,219,409,446,588,923,311,096,127,716,270,186,412,795,
391,225,252,609,569,780,087,383,300,411,790,168,608,963,547,200,343,916,812,
746,312,819,814,083,872,413,776,797,811,121,133,465,199,265,417,709,451,492,
533,971,530,799,630,552,441,223,003,441,785,774,106,738,943,094,478,517,182,
992,821,226,326,948,121,725,833,082,658,509,427,145,176,209,283,752,653,213,
157,505,623,454,364,234,616,851,823,764,119,977,761,583,543,963,095,806,981,
352,939,533,151,468,891,691,836,424,089,689,677,660,087,264,248,120,133,077,
280,045,908,539,687,392,453,641,284,477,732,429,696,433,845,027,316,103,513,
364,233,138,579,016,837,995,872,034,007,979,396,936,766,655,974,078,247,594,
920,835,976,573,372,533,535,942,544,167,962,574,453,376,956,368,828,267,072,
756,570,337,195,474,052,986,416,598,590,896,252,200,849,458,565,469,664,838,
317,356,362,584,963,019,570,670,140,882,232,841,349,493,969,029,147,584,292,
335,477,582,677,724,420,785,941,518,668,285,754,009,677,596,730,165,341,546,
601,555,720,615,014,937,955,142,146,270,288,541,615,702,992,828,244,988,556,
997,268,686,349,068,304,851,326,882,429,045,715,164,285,014,682,756,076,899,
567,630,842,740,065,244,233,477,665,297,089,442,261,249,079,076,802,191,490,
534,472,186,400,234,450,637,118,021,328,572,797,431,935,037,884,484,785,263,
545,371,982,157,403,412,419,010,828,803,880,532,696,773,852,441,685,000,955,
039,988,512,345,032,825,276,279,390,713,222,259,119,754,558,997,923,735,941,
960,881,559,397,058,293,671,936,407,509,733,245,695,208,571,164,718,651,674,
572,393,477,252,430,879,839,028,187,328,843,187,507,023,115,805,738,668,645,
648,391,409,074,696,161,377,651,737,777,310,653,260,953,399,053,297,470,219,
606,499,903,785,421,276,357,818,213,973,411,167,390,582,720,638,085,873,305,
283,499,037,196,137,325,262,022,698,216,006,257,020,286,775,423,502,670,163,
383,785,294,481,210,493,303,398,620,752,602,471,057,155,844,482,008,004,028,
179,627,288,472,317,457,303,391,725,680,065,350,159,025,316,774,838,511,026,
854,628,680,298,010,821,891,304,900,692,654,799,576,237,566,392,020,412,078,
072,082,728,885,967,599,746,085,851,745,599,774,540,799,337,180,691,031,787,
795,800,572,003,828,033,972,221,711,269,721,617,015,356,248,345,294,208,555,
317,244,974,078,216,887,122,048,070,879,669,262,729,878,843,202,323,374,940,
427,761,164,638,660,984,716,003,335,218,484,579,842,345,590,312,666,980,442,
612,050,980,657,908,269,943,125,029,057,417,879,879,706,521,756,983,081,426,
904,618,565,908,518,219,638,746,884,920,465,594,633,255,910,917,992,749,477,
596,966,537,201,849,645,658,651,187,294,144,583,922,867,540,519,105,968,141,
420,771,367,268,087,908,654,978,424,025,611,308,722,576,392,890,381,923,008,
349,782,746,217,586,318,460,116,863,172,814,771,606,309,814,970,745,145,176,
133,568,780,562,780,544,009,764,111,787,236,567,281,917,712,826,779,406,857,
515,688,042,280,055,235,292,863,780,121,826,369,841,521,049,308,192,875,001,
767,929,830,197,081,589,876,923,065,717,468,018,811,037,283,546,581,414,739,
582,907,583,460,086,336,784,777,456,251,504,072,023,971,038,532,447,837,629,
513,982,169,813,812,151,306,948,361,171,626,801,203,124,971,764,750,397,170,
805,237,282,307,275,571,188,107,057,920,457,554,492,541,465,524,598,597,097,
421,788,952,169,699,554,363,903,304,791,295,357,206,840,412,629,681,628,879,
405,377,781,751,888,643,945,288,610,979,160,887,986,086,342,060,350,963,750,
579,027,430,142,353,468,577,427,685,197,561,551,569,962,526,872,677,305,015,
525,443,831,044,691,704,476,595,073,312,880,768,562,461,626,683,030,557,749,
847,524,525,071,881,740,813,489,615,749,930,923,591,828,959,734,548,363,860,
773,675,688,104,103,606,459,399,308,834,589,304,949,234,738,674,383,044,327,
103,546,817,663,547,811,268,136,685,996,377,630,519,459,170,905,534,871,977,
629,007,865,163,607,229,840,320,421,802,827,479,966,187,855,754,346,137,644,
700,397,125,129,522,345,008,004,265,004,799,869,608,311,336,003,376,540,048,
421,456,484,190,290,365,566,156,497,493,796,387,868,664,548,863,381,713,912,
120,050,266,203,119,886,970,276,664,879,398,804,067,306,466,501,202,685,036,
328,532,412,562,807,413,215,185,701,234,300,078,635,361,201,572,112,220,827,
204,086,634,719,945,094,003,921,679,090,413,885,546,786,051,125,435,622,440,
971,764,688,126,348,035,838,916,256,709,356,295,508,427,248,897,239,742,563,
566,972,681,713,354,215,946,987,202,213,151,004,829,290,982,344,140,402,342,
903,252,052,621,799,406,549,478,630,423,644,065,753,124,024,337,563,416,334,
823,104,292,600,550,328,020,559,835,237,428,958,014,829,909,621,390,500,318,
783,249,911,176,401,712,146,509,064,350,842,770,170,763,762,225,715,520,668,
449,020,555,333,028,329,439,753,302,621,927,821,977,088,207,934,361,434,843,
354,503,000,265,324,185,225,799,590,502,957,508,496,263,181,342,870,119,232,
704,557,796,791,151,637,022,747,900,961,770,753,128,090,541,940,568,578,943,
161,877,834,850,791,918,522,500,549,384,431,835,490,664,181,664,074,520,381,
066,362,190,492,543,007,913,944,795,167,021,387,576,530,602,939,483,159,103,
237,454,378,173,993,204,677,650,077,251,761,354,617,824,167,502,381,694,966,
773,354,377,314,307,660,577,657,242,865,368,641,287,508,062,567,205,901,945,
377,096,628,781,473,004,856,596,796,703,488,447,225,416,958,134,963,362,464,
481,343,462,331,034,653,231,089,410,820,299,072,293,355,047,925,690,434,967,
518,715,663,757,152,804,606,547,863,222,857,002,262,769,727,393,381,843,382,
971,842,695,309,781,715,553,158,380,434,704,510,740,465,794,557,136,788,272,
260,896,709,172,784,346,040,193,498,242,555,289,111,722,285,914,605,207,224,
582,400,638,695,807,305,409,191,061,810,880,830,782,902,543,177,976,121,610,
191,274,994,413,792,983,948,747,187,043,549,896,742,446,125,981,817,888,797,
203,071,898,926,962,410,258,001,821,100,426,978,980,503,890,593,435,220,500,
320,024,336,353,412,544,423,328,365,126,834,383,520,755,014,242,584,713,075,
130,819,420,416,686,778,649,182,851,052,224,726,255,300,013,129,827,031,482,
992,557,046,956,764,318,904,041,011,242,322,086,214,258,819,654,210,681,953,
775,674,044,446,620,079,549,880,254,107,051,165,868,384,664,268,945,923,685,
641,277,617,685,060,314,916,363,574,198,928,842,914,969,889,519,559,912,447,
316,692,228,719,635,018,100,897,069,516,125,569,513,445,889,537,615,698,847,
933,442,252,901,646,100,488,523,330,538,702,933,222,497,352,276,679,061,841,
439,245,532,785,405,787,864,059,672,213,615,170,420,104,678,693,387,042,233,
567,274,989,465,269,722,376,736,558,892,365,638,589,201,183,262,592,457,720,
334,628,558,702,152,256,777,287,856,790,467,863,369,011,809,154,182,255,054,
238,425,984,049,650,689,719,113,359,061,683,992,128,529,560,011,267,066,303,
004,237,141,909,965,892,452,810,374,693,410,085,786,121,961,139,073,333,733,
484,089,442,531,174,890,633,116,706,081,201,504,964,318,993,107,069,209,296,
068,198,398,805,711,023,385,685,383,522,259,905,677,142,106,288,530,683,990,
469,722,488,443,499,074,778,649,952,037,230,763,661,858,284,718,072,664,593,
559,695,076,382,847,702,116,182,846,645,957,383,233,002,771,769,348,954,900,
796,413,743,990,311,001,380,122,681,937,730,325,417,879,140,867,777,843,838,
388,891,858,585,518,927,516,895,965,126,351,261,134,244,022,107,728,838,088,
008,891,171,867,475,766,283,857,234,220,817,417,152,931,795,439,951,939,995,
708,152,085,522,520,389,392,710,362,622,263,145,375,129,618,961,967,944,456,
558,603,040,890,470,491,942,921,774,725,224,152,966,579,375,563,983,326,623,
792,077,282,622,873,478,979,340,849,551,574,456,287,704,291,913,642,246,127,
125,027,742,203,359,740,072,050,193,171,928,268,732,610,619,999,038,506,646,
279,959,825,350,578,688,838,837,254,106,447,726,768,231,624,577,533,538,186,
008,602,753,223,602,081,736,518,200,364,970,134,546,220,713,037,217,384,302,
054,898,964,134,630,309,911,234,788,115,553,497,268,386,101,291,135,106,483,
174,445,709,870,547,319,378,509,501,725,203,720,786,956,414,373,136,645,451,
392,010,262,836,825,892,936,534,763,049,073,064,783,362,595,788,850,437,864,
295,724,844,531,395,652,393,717,954,130,299,903,878,255,712,418,705,141,157,
738,213,241,740,403,446,492,338,702,707,179,206,633,137,211,964,779,415,882,
685,112,457,167,293,913,013,968,744,413,879,002,482,764,567,754,156,520,856,
498,628,598,306,995,178,060,368,688,218,081,689,237,243,194,408,950,470,317,
746,270,816,865,855,232,323,587,172,123,955,891,106,688,056,451,382,834,776,
707,909,593,072,743,532,765,338,819,779,437,597,234,517,617,459,143,759,903,
981,029,850,055,876,726,894,410,452,237,258,290,076,590,364,141,124,057,790,
815,628,307,773,993,850,973,254,036,303,002,598,696,742,868,131,674,362,148,
435,449,932,510,051,571,992,933,501,925,806,927,877,043,306,577,626,292,693,
876,132,598,583,671,716,698,156,230,792,906,558,198,862,465,818,616,150,662,
117,890,510,370,454,884,802,286,845,404,682,984,148,177,217,481,889,312,529,
688,539,338,525,850,705,767,377,044,355,916,663,299,975,446,816,889,631,664,
857,820,887,616,165,135,279,782,951,742,450,017,538,627,093,770,977,436,256,
512,791,834,007,346,036,983,954,951,501,051,748,532,192,070,269,877,077,492,
087,438,534,628,651,037,397,311,635,512,398,634,554,469,162,934,603,834,151,
772,406,262,732,934,519,585,505,909,186,547,295,293,900,510,227,483,752,177,
412,327,992,689,087,410,146,221,574,862,574,909,345,929,301,552,821,323,262,
651,448,034,891,588,534,316,484,768,834,886,697,873,135,295,836,694,687,382,
380,946,675,823,007,445,241,874,020,441,399,512,316,533,922,828,471,809,301,
039,159,329,724,978,932,222,904,625,538,602,098,016,663,708,604,153,138,463,
766,936,274,365,070,423,846,582,335,820,857,301,161,006,867,227,885,665,052,
215,091,360,919,366,585,478,402,784,046,976,742,439,841,009,756,347,540,200,
543,387,927,031,398,902,672,902,401,245,083,987,006,576,517,484,301,040,160,
561,786,937,225,099,682,127,972,990,635,272,592,387,000,518,583,796,881,862,
668,989,848,113,263,480,085,052,276,906,243,507,074,188,726,171,869,914,454,
652,770,791,993,725,513,720,778,595,268,672,718,058,566,203,695,601,830,085,
715,196,988,332,923,835,141,375,220,250,342,259,501,370,363,670,892,501,855,
451,343,463,434,732,161,466,760,453,227,664,568,858,297,020,369,463,776,099,
063,360,237,259,020,927,553,346,375,119,948,675,729,097,106,535,983,420,595,
241,470,203,935,576,325,282,673,129,421,061,669,114,454,210,446,609,070,898,
194,385,166,666,882,594,051,343,990,255,809,475,525,373,167,457,510,066,227,
925,020,535,784,612,195,321,978,270,039,594,309,310,167,414,698,078,958,829,
822,725,556,254,416,112,058,999,662,672,797,734,571,601,123,690,743,277,075,
837,505,399,223,752,996,080,842,881,884,243,736,808,770,126,671,742,702,860,
014,716,493,361,293,397,674,362,906,566,148,291,099,829,575,720,347,038,778,
794,137,532,838,046,033,207,589,489,587,828,920,509,854,452,159,841,571,394,
938,858,648,968,934,856,332,035,848,898,269,183,515,311,278,650,824,301,381,
786,113,835,422,409,419,300,343,234,940,789,635,713,442,649,715,656,332,250,
515,800,359,778,683,975,788,394,637,105,903,211,037,020,353,062,399,387,052,
826,331,846,663,744,607,273,945,877,168,677,517,928,985,130,692,810,116,009,
848,795,953,484,722,006,892,358,086,536,329,305,549,131,350,511,710,752,757,
653,031,378,800,471,614,657,380,383,841,703,450,440,010,009,026,372,431,773,
438,707,959,590,733,470,028,473,912,653,584,808,919,526,221,979,981,687,320,
636,448,884,089,526,965,496,936,936,801,668,643,753,404,577,256,130,769,390,
630,214,259,374,804,396,751,144,016,498,835,394,887,141,731,730,384,336,228,
462,541,993,457,195,944,415,872,730,870,854,837,971,986,387,960,861,396,944,
140,667,613,712,356,523,775,393,700,148,692,003,012,338,395,645,651,609,991,
596,465,178,777,686,865,407,847,734,274,343,692,538,976,794,455,540,281,146,
643,143,006,535,467,388,599,442,184,461,692,372,944,262,969,168,651,105,899,
896,583,117,130,714,075,405,859,269,497,154,815,859,417,291,625,981,188,215,
629,938,358,920,342,076,721,672,975,979,945,315,649,252,587,881,756,405,663,
994,896,649,645,114,814,510,694,459,504,107,557,902,795,003,854,752,903,503,
484,714,631,668,416,287,081,211,444,374,226,341,378,145,411,237,794,446,819,
897,517,755,498,912,885,212,672,232,228,183,115,854,103,892,297,245,993,333,
520,058,066,605,485,291,283,084,238,043,810,475,551,925,612,214,617,247,960,
142,450,545,664,688,199,665,862,101,936,469,627,150,554,621,572,008,358,292,
040,976,915,065,954,284,961,470,363,287,632,631,577,727,326,196,740,795,598,
129,640,101,675,890,919,584,750,004,655,911,505,487,249,624,189,170,382,560,
963,589,176,243,169,941,527,300,847,586,213,558,703,168,826,184,961,531,367,
095,478,659,253,805,750,927,497,010,884,173,473,456,830,911,108,896,893,200,
717,372,661,237,519,635,409,510,040,768,387,822,346,669,045,738,587,748,559,
879,349,335,737,754,654,872,129,320,227,121,038,495,726,226,663,826,568,997,
863,878,085,639,742,751,501,137,042,686,958,490,083,734,479,914,226,726,896,
466,392,042,244,089,950,085,692,980,803,273,091,186,474,044,307,062,596,711,
125,304,193,407,109,274,998,007,576,412,444,924,092,892,773,500,939,120,717,
067,149,631,663,497,720,448,027,688,439,613,263,900,217,220,270,953,595,822,
176,359,197,907,331,416,431,518,359,932,766,652,050,745,286,516,429,287,609,
135,393,478,196,430,961,660,757,289,242,926,164,930,770,530,409,000,512,721,
897,895,024,025,194,866,225,024,498,604,859,423,497,007,740,945,867,412,817,
867,062,833,580,590,762,623,833,099,383,268,386,621,307,255,800,055,450,546,
070,541,347,104,025,914,132,505,177,009,761,343,680,090,922,797,697,923,877,
271,664,344,876,906,715,044,141,278,589,473,489,232,685,490,454,845,509,374,
482,459,446,531,571,273,276,356,951,429,936,507,905,344,415,354,222,248,346,
040,824,882,533,973,732,714,845,750,534,364,746,567,322,700,895,300,404,871,
591,129,366,622,801,607,605,277,483,952,672,578,416,821,279,989,077,958,453,
721,460,709,311,429,097,076,930,900,976,053,019,917,064,780,632,961,361,198,
320,271,404,784,700,128,279,871,931,058,867,236,233,017,396,042,157,791,090,
094,062,623,752,020,049,192,068,562,589,639,809,751,995,488,310,652,180,389,
115,561,256,076,318,907,299,052,614,096,247,747,940,083,259,227,022,171,465,
961,347,401,159,864,043,081,454,940,619,823,586,326,204,194,993,832,023,032,
089,568,717,980,035,860,381,643,507,543,670,354,818,882,110,789,537,586,732,
174,046,106,066,294,095,670,380,613,754,965,667,529,882,200,654,666,840,494,
177,631,041,106,879,058,210,638,914,232,035,737,944,990,251,146,671,045,672,
213,860,812,513,129,343,173,852,999,400,710,279,727,055,189,107,704,334,649,
079,198,541,514,183,963,185,865,943,840,101,539,350,479,923,771,352,203,795,
635,032,541,397,602,657,236,431,870,535,332,906,156,385,183,491,816,370,791,
915,231,087,003,434,859,747,016,213,644,214,754,868,333,954,502,180,924,598,
754,140,235,329,892,876,826,473,139,308,045,718,044,074,705,861,669,607,044,
954,487,608,786,887,926,306,513,916,734,250,724,662,217,153,590,376,068,060,
484,131,518,700,991,935,046,079,831,053,053,943,184,680,220,232,261,607,290,
655,944,307,633,294,313,733,835,480,337,877,917,138,479,513,180,151,464,710,
041,043,463,831,264,600,214,851,082,742,641,701,342,911,938,909,664,636,512,
639,588,465,170,416,901,186,717,793,148,198,377,561,879,934,570,077,134,735,
281,428,489,250,826,932,155,198,254,708,292,849,282,440,717,325,725,032,623,
942,047,144,383,996,082,492,449,734,128,547,342,660,931,371,448,722,566,733,
258,940,031,401,583,586,765,012,915,249,493,667,173,994,501,299,513,339,841,
779,562,613,928,553,472,702,020,797,660,762,097,906,185,653,078,803,916,643,
332,191,475,335,738,821,871,659,287,642,101,669,895,416,867,171,521,902,631,
940,075,582,113,979,294,475,698,381,304,401,376,779,510,182,021,869,303,847,
555,038,257,131,505,768,394,723,806,311,310,673,382,052,132,821,761,945,828,
606,558,426,849,526,077,427,108,881,683,344,938,703,169,166,003,228,332,841,
466,483,960,216,594,696,800,202,996,620,579,650,631,522,959,328,791,311,821,
587,061,830,914,221,040,872,077,284,807,974,492,980,184,767,591,468,147,156,
247,180,151,932,806,773,098,571,640,326,022,592,905,087,437,091,464,245,028,
665,213,840,816,382,637,308,370,257,805,262,497,300,060,651,764,357,299,241,
913,869,699,757,823,387,111,349,372,394,014,060,952,223,104,364,992,273,574,
148,713,581,933,947,704,633,694,887,761,160,873,225,917,731,833,960,128,616,
486,621,651,481,487,299,126,628,100,258,012,034,515,392,685,520,040,681,226,
879,959,503,943,582,352,322,079,788,230,062,836,834,927,943,914,608,757,386,
744,047,248,319,541,392,625,810,189,545,253,878,719,436,610,299,767,559,569,
345,627,299,252,570,667,698,804,925,211,711,839,972,004,162,058,945,151,378,
648,746,260,664,146,290,593,295,149,108,699,563,068,966,186,235,273,088,984,
158,269,165,346,231,163,569,057,155,129,441,696,958,644,840,435,537,858,587,
784,232,097,305,384,686,841,043,490,246,853,406,080,190,101,440,133,180,432,
271,900,120,603,567,437,949,885,004,269,906,437,331,965,993,387,177,663,363,
994,422,720,354,644,976,632,851,504,461,937,221,249,197,658,140,278,896,925,
554,885,780,429,809,883,459,479,810,029,376,124,751,599,695,404,632,427,118,
634,673,610,387,516,084,177,536,662,965,337,863,790,828,761,155,481,008,448,
400,305,831,611,742,981,095,932,405,131,780,677,978,322,340,419,809,385,678,
023,108,920,505,218,455,354,693,825,955,265,508,710,897,434,569,189,269,812,
033,880,733,579,681,627,687,359,584,162,530,798,579,542,992,419,061,844,936,
554,776,933,424,719,620,704,029,307,801,735,713,537,373,513,722,844,082,344,
123,470,320,609,182,512,608,192,185,727,947,498,238,404,307,947,009,638,039,
541,719,950,881,902,805,460,274,358,358,171,295,862,302,317,819,032,684,545,
357,643,644,726,836,875,199,618,040,388,393,636,970,297,399,299,912,528,466,
926,422,886,118,225,949,065,716,023,921,235,679,455,065,597,250,968,037,050,
391,730,449,484,385,128,344,680,703,367,939,481,978,776,333,035,054,209,973,
190,166,162,265,041,615,853,787,408,217,182,469,130,961,457,717,495,498,800,
781,625,536,918,839,214,755,575,332,379,512,411,022,529,757,885,435,472,687,
307,986,534,369,653,755,312,524,854,183,010,874,532,421,174,139,609,636,883,
505,933,350,471,527,471,378,664,924,659,100,253,228,411,750,361,591,275,264,
857,226,802,342,878,006,685,430,874,861,693,676,754,582,324,536,151,460,672,
755,572,423,781,375,842,434,796,206,137,460,400,361,992,854,239,961,656,631,
342,970,377,199,355,734,385,768,522,627,740,552,562,287,801,641,125,675,708,
498,036,518,872,704,436,590,700,682,786,774,305,994,695,342,986,230,583,992,
227,685,353,791,860,789,417,870,120,524,516,140,956,965,762,767,507,626,547,
861,903,163,538,269,550,809,486,902,488,859,784,845,602,568,948,569,694,320,
564,098,883,218,397,257,069,880,137,116,400,337,386,520,603,020,321,921,383,
629,595,542,257,971,797,744,429,313,091,093,112,486,340,412,174,543,253,888,
032,226,080,311,547,218,514,521,038,699,211,591,527,712,329,802,730,845,068,
356,804,767,162,695,410,992,166,189,048,903,894,328,467,842,912,189,492,570,
010,799,685,690,561,666,398,227,072,992,898,868,314,478,905,922,546,939,490,
027,752,768,757,839,111,303,109,976,847,848,534,427,280,482,386,707,893,617,
473,492,458,509,139,256,458,573,892,132,330,260,661,526,024,567,484,293,444,
416,689,267,926,272,927,055,033,882,110,092,995,159,265,992,440,665,725,209,
103,217,092,457,384,668,724,402,533,867,280,696,105,711,779,677,170,716,079,
511,965,207,737,370,609,340,846,530,241,152,463,308,432,812,463,330,110,056,
650,732,175,265,952,628,656,943,662,549,465,224,920,838,092,753,228,964,514,
918,732,217,027,780,576,082,092,312,401,325,196,834,145,511,967,650,091,095,
456,940,953,402,474,343,073,288,495,585,697,882,958,446,201,045,007,722,365,
053,307,759,450,605,283,884,387,026,893,569,055,743,231,755,392,731,946,910,
717,895,054,742,951,071,353,517,174,145,410,886,942,205,647,801,564,911,271,
329,693,160,708,136,372,722,156,212,753,114,124,962,580,661,630,293,846,947,
534,050,376,648,953,952,614,293,323,401,411,906,232,524,370,424,777,842,224,
622,913,077,671,582,390,173,922,342,219,978,505,848,028,146,040,171,444,483,
560,362,462,248,141,554,221,892,972,576,561,332,439,957,129,579,932,472,547,
972,114,445,472,538,034,914,953,024,067,018,847,355,150,982,348,318,670,817,
884,427,888,141,392,358,613,429,143,866,365,167,713,479,750,797,923,554,102,
137,559,672,150,378,569,557,437,413,213,226,477,251,459,090,663,884,375,504,
445,967,526,939,599,386,551,563,806,187,775,138,960,389,472,937,037,179,748,
617,730,324,846,455,743,853,758,601,174,398,194,199,793,783,318,451,963,905,
585,176,879,612,800,241,260,884,254,433,818,256,045,887,622,073,315,384,640,
062,491,996,700,151,120,672,553,405,636,773,270,199,843,617,944,485,657,682,
753,491,822,584,569,438,381,972,472,958,117,570,219,696,129,922,891,872,902,
950,857,661,106,468,363,830,363,312,045,537,500,567,895,024,994,584,358,751,
389,416,185,674,064,588,052,650,027,041,794,505,504,661,248,408,673,089,419,
454,543,208,649,228,752,364,534,068,923,235,186,793,600,760,790,157,071,508,
812,036,692,774,922,063,339,154,837,284,203,724,648,619,595,633,840,374,915,
217,184,679,289,934,679,747,418,993,400,647,288,008,779,929,271,125,837,436,
913,917,194,323,891,420,701,633,672,336,232,514,400,292,283,606,605,636,453,
847,727,788,482,694,701,492,200,310,579,136,126,364,937,652,173,391,100,592,
845,842,810,366,589,623,079,143,372,424,604,280,207,682,878,775,912,131,701,
666,232,906,182,468,150,592,730,921,655,421,286,280,396,149,820,706,632,303,
127,299,111,197,071,989,263,124,715,217,698,119,408,806,572,914,457,350,783,
589,383,048,231,719,148,866,740,884,123,991,323,602,874,306,290,916,931,707,
415,954,011,084,937,109,238,613,232,235,109,528,715,606,306,516,734,140,173,
327,556,799,796,499,357,026,100,117,866,469,546,293,571,226,073,734,644,312,
846,254,845,719,288,074,408,836,854,448,951,062,926,802,825,673,753,375,130,
999,451,146,087,571,928,082,676,941,076,943,345,216,897,015,557,377,857,020,
537,770,987,951,458,447,697,994,590,506,102,822,939,240,427,513,986,213,110,
703,001,464,176,581,147,680,670,881,275,725,802,239,690,585,163,270,172,078,
509,482,077,655,376,630,101,832,738,991,568,137,465,289,548,262,160,415,667,
993,927,878,237,935,185,178,151,648,107,144,550,265,411,148,968,282,173,778,
620,370,073,639,302,110,643,890,155,308,549,521,511,631,077,796,187,532,638,
567,726,495,974,904,182,222,618,561,107,562,608,918,502,203,584,355,007,597,
539,963,006,833,948,262,477,729,038,897,159,922,545,701,188,637,406,605,012,
198,699,243,215,991,132,886,744,767,594,682,876,452,069,465,176,276,279,132,
674,388,081,750,654,867,483,572,182,715,307,670,833,874,625,581,034,209,077,
986,625,262,190,650,408,910,115,480,193,056,461,336,664,017,875,374,611,534,
447,300,932,712,654,114,519,544,845,629,352,757,816,737,219,718,120,910,001,
176,522,278,601,651,343,036,766,222,615,256,042,750,895,364,726,819,605,717,
630,418,458,604,494,894,382,837,117,239,119,459,036,780,496,533,048,155,363,
773,807,808,497,593,840,811,381,727,755,973,124,987,242,867,780,733,236,272,
187,736,117,837,427,803,236,540,402,978,418,521,656,670,970,272,705,381,387,
382,381,513,743,571,768,569,647,112,322,734,038,687,549,902,385,225,304,039,
213,139,614,657,463,865,508,535,564,215,714,638,826,492,456,509,466,675,161,
716,264,697,622,557,708,482,457,772,666,431,887,878,220,703,501,924,385,246,
815,230,493,460,031,244,067,430,409,771,806,230,206,212,512,518,969,880,750,
896,374,194,102,438,509,518,700,224,802,683,820,844,561,894,589,498,835,352,
152,490,856,378,132,678,974,630,423,714,264,777,371,646,495,221,091,758,940,
708,794,983,304,781,258,014,429,365,259,800,236,926,377,735,391,406,945,302,
103,626,802,227,264,497,893,828,481,514,922,957,200,466,895,646,989,998,306,
819,143,279,634,365,602,287,380,583,296,020,330,369,046,544,556,797,643,118,
403,140,844,581,314,754,695,978,596,149,311,543,838,773,543,783,273,378,118,
805,618,482,991,967,816,394,952,026,766,191,463,089,516,457,056,498,769,853,
638,976,579,273,293,857,394,179,168,360,636,980,086,799,219,992,673,930,016,
157,773,921,977,507,342,114,088,467,213,131,533,136,446,147,051,738,420,269,
829,781,398,599,134,979,033,866,476,140,109,120,537,368,486,956,233,503,248,
534,013,393,019,712,298,666,422,106,760,874,238,710,683,735,634,701,475,421,
302,555,720,567,304,203,341,189,321,684,294,006,965,784,748,577,849,361,254,
566,700,521,544,909,278,639,397,611,500,762,170,921,115,887,423,035,171,124,
319,039,215,549,113,145,433,316,910,634,473,714,101,623,558,058,393,471,054,
708,132,670,627,906,965,877,360,041,545,304,223,946,728,783,233,923,465,704,
042,068,713,039,713,523,547,604,298,574,059,999,162,008,784,747,432,954,540,
280,471,763,829,188,833,655,575,680,930,749,095,953,643,344,839,093,834,932,
149,192,545,364,388,759,698,994,790,979,081,808,339,103,343,117,251,686,968,
902,207,463,038,212,462,008,709,213,579,557,407,536,950,659,230,440,260,506,
413,258,782,972,818,714,414,479,461,536,113,697,520,027,559,639,372,248,299,
511,389,608,428,357,961,778,261,437,457,840,366,811,855,757,880,901,407,616,
193,627,180,362,089,118,551,798,371,880,024,098,425,571,108,633,685,302,710,
771,502,959,896,247,308,556,393,251,290,489,378,772,542,236,403,265,092,241,
096,353,511,750,992,907,819,690,292,439,394,885,207,199,506,971,398,351,115,
007,806,145,478,738,114,843,986,404,142,434,741,284,725,463,924,137,534,138,
699,133,681,063,632,906,535,158,774,778,115,863,034,292,254,322,433,254,293,
835,327,942,604,642,880,070,990,852,647,180,000,401,760,121,871,412,879,884,
990,505,625,656,267,237,514,551,304,528,617,683,110,695,269,297,489,615,374,
334,158,376,581,193,775,255,965,860,249,249,749,439,131,071,957,008,800,826,
995,883,289,001,083,468,243,352,868,841,481,978,982,103,429,174,796,638,387,
972,173,702,529,097,527,765,146,903,280,007,612,455,793,218,226,013,119,434,
951,618,789,329,655,615,446,419,017,276,375,880,567,682,488,419,016,443,636,
036,984,205,542,880,574,044,157,164,649,443,472,598,320,660,340,601,826,245,
745,547,291,384,709,120,369,668,669,479,105,362,969,352,332,332,120,003,666,
410,638,610,150,797,476,282,454,814,112,273,910,508,848,313,908,488,466,204,
626,276,804,833,165,494,912,132,280,099,924,938,297,974,955,109,721,395,456,
403,653,909,181,533,643,712,934,606,438,254,990,706,076,752,125,833,894,906,
741,296,754,948,482,416,776,151,442,451,804,047,077,063,651,487,919,371,734,
931,621,002,982,567,668,576,764,749,469,556,261,762,693,199,287,220,342,745,
231,294,776,201,629,122,946,971,311,343,553,234,389,480,354,133,966,679,396,
100,852,809,491,549,233,358,339,288,456,584,529,270,606,700,459,967,512,690,
580,243,124,352,776,557,703,233,618,094,937,174,213,951,354,888,453,968,927,
446,002,615,865,048,566,171,944,404,286,770,214,461,811,376,657,168,024,068,
971,586,780,247,354,898,999,657,013,090,770,380,339,883,458,395,527,712,102,
533,610,960,768,982,228,240,801,877,336,260,461,853,225,768,013,135,112,582,
793,989,750,380,780,203,515,280,232,111,563,414,611,076,042,355,154,616,925,
895,494,169,981,831,641,181,120,787,119,044,829,046,209,966,906,084,954,179,
294,979,577,165,609,008,682,411,673,767,560,973,796,256,050,558,403,496,337,
138,214,762,470,709,089,872,589,029,515,127,312,149,277,966,132,498,690,842,
842,405,078,831,702,872,392,877,515,102,293,690,384,325,595,001,129,654,022,
385,082,601,063,555,687,133,259,670,267,040,321,383,823,157,496,855,803,741,
302,576,122,922,413,392,200,752,329,778,203,853,253,361,535,399,252,659,369,
457,170,428,212,916,414,745,224,352,141,682,186,700,302,584,568,615,398,900,
830,857,603,912,696,825,188,393,218,262,791,325,908,684,297,867,562,926,556,
309,760,821,354,902,641,795,036,938,225,745,795,947,104,417,309,145,053,881,
625,641,827,989,218,450,951,080,296,611,608,326,385,902,256,055,886,164,800,
704,435,189,573,027,866,088,659,608,393,176,303,876,899,180,580,786,682,558,
175,661,784,506,527,321,783,487,500,282,597,835,224,892,386,763,258,346,186,
823,556,092,054,387,060,415,322,808,863,812,479,303,090,378,634,562,140,872,
652,133,031,798,222,010,809,308,976,823,265,847,454,256,527,352,851,054,961,
706,644,354,931,815,420,706,077,405,901,737,758,111,008,840,334,908,698,337,
128,343,217,510,766,237,327,236,954,818,722,446,385,341,983,668,857,695,890,
616,804,636,872,828,771,165,363,864,535,565,160,496,529,278,968,841,585,488,
945,773,722,534,670,941,598,687,516,105,416,499,197,780,799,817,600,911,503,
053,732,288,589,275,573,869,532,753,665,501,838,771,077,592,016,185,150,241,
333,845,861,498,773,230,432,452,141,288,047,017,067,056,743,618,642,774,108,
810,980,676,018,436,334,633,203,875,858,071,586,437,448,686,742,511,382,337,
640,649,815,189,282,856,529,041,015,278,917,761,536,305,029,671,793,596,442,
531,811,183,890,195,354,771,134,046,835,516,048,002,539,183,248,648,744,939,
998,854,892,761,905,239,338,236,639,121,319,821,161,880,790,816,147,626,744,
062,934,166,530,885,181,640,825,970,854,267,689,222,067,974,763,230,089,780,
967,786,819,820,993,193,607,763,258,465,831,833,094,507,691,905,512,984,569,
233,234,306,034,350,868,689,323,420,863,002,383,150,038,646,455,462,713,242,
460,848,095,900,694,334,998,045,681,182,159,415,611,344,796,562,392,284,804,
257,802,990,605,122,630,472,937,192,497,940,016,811,089,692,999,381,195,129,
451,346,379,556,684,725,328,964,931,269,435,070,551,355,114,464,950,356,219,
010,788,453,258,909,524,902,708,269,867,550,356,563,436,047,761,715,297,487,
105,605,799,955,246,652,840,854,125,208,008,775,700,958,936,232,343,348,225,
978,410,744,436,556,679,334,650,509,524,410,113,766,030,567,857,007,895,789,
254,171,395,202,749,822,792,045,967,353,603,236,317,748,029,935,658,688,226,
134,492,077,501,546,851,152,491,727,851,622,087,260,680,354,576,515,194,438,
256,585,971,659,535,424,617,312,279,168,184,854,856,044,599,672,675,795,911,
477,383,693,596,431,367,585,838,911,750,354,118,744,878,429,951,910,786,237,
001,182,619,989,376,661,168,017,340,020,264,661,054,679,832,134,400,196,695,
364,370,289,334,414,840,109,205,777,201,880,923,576,823,230,250,152,300,915,
427,964,962,736,541,505,367,825,257,890,099,525,885,455,988,238,176,542,898,
630,655,668,815,067,418,553,352,548,892,655,455,867,965,842,573,333,084,048,
483,965,480,305,781,935,788,917,170,287,791,861,295,875,184,596,451,502,995,
739,546,689,454,150,406,246,885,665,828,841,049,432,802,125,252,694,372,101,
068,205,385,493,027,848,534,622,535,255,298,252,450,562,025,963,418,239,317,
551,583,807,444,526,782,128,286,241,301,331,147,149,137,936,328,913,935,037,
750,057,966,501,395,965,173,493,664,507,708,817,171,330,943,590,960,949,010,
345,126,097,277,404,668,082,084,427,257,518,544,817,839,340,355,391,969,284,
003,809,653,347,688,391,973,482,081,244,818,043,040,858,401,544,755,655,441,
919,331,771,140,895,930,407,425,146,006,322,837,858,687,293,981,051,591,216,
577,619,170,154,404,200,438,162,243,755,816,571,237,776,057,862,733,836,030,
039,329,733,301,783,111,803,459,590,992,589,478,694,045,040,812,659,677,001,
826,447,384,424,218,547,408,167,885,993,961,019,258,209,113,411,294,048,759,
042,428,921,828,313,005,205,817,603,583,619,553,723,990,830,287,900,028,747,
767,343,376,227,738,713,742,378,792,564,734,387,752,848,670,264,249,505,548,
229,428,298,202,745,016,469,871,209,078,992,396,803,901,376,068,159,152,179,
058,810,501,863,013,674,505,358,145,121,214,737,083,646,990,294,713,549,634,
542,668,284,901,972,319,240,603,812,039,352,218,958,436,560,388,096,253,328,
774,580,413,872,042,185,161,510,193,584,991,119,061,927,678,698,872,499,861,
084,613,633,574,068,635,804,337,507,823,789,880,639,873,311,052,651,259,072,
066,487,675,560,301,696,908,483,293,234,959,445,072,067,520,492,857,500,587,
540,760,346,641,239,159,312,262,682,792,205,521,398,709,894,294,268,655,087,
094,810,616,122,701,721,253,624,956,945,806,309,193,901,914,818,696,223,477,
697,531,188,374,760,266,296,486,561,986,277,498,021,543,523,804,306,669,744,
651,728,344,784,577,653,688,580,740,576,713,941,732,941,265,596,266,062,205,
125,294,171,904,102,921,882,403,701,548,810,025,745,286,965,746,752,109,617,
393,995,190,016,256,260,069,142,684,222,664,111,175,797,715,571,820,389,799,
108,781,268,816,474,674,096,274,410,945,640,818,675,097,602,429,666,745,349,
247,573,315,194,153,576,046,107,118,332,414,988,790,901,610,778,325,515,766,
632,875,103,912,508,953,290,819,947,044,706,335,321,797,580,792,187,402,584,
487,858,412,494,043,297,011,956,317,824,138,678,756,108,444,512,048,266,635,
264,211,020,726,393,833,179,213,870,715,652,710,598,368,953,128,953,541,356,
204,131,081,578,711,930,772,378,201,306,178,798,283,891,929,603,797,129,954,
995,766,532,393,207,703,552,077,492,236,466,229,251,386,908,148,476,818,392,
121,390,042,987,582,347,177,034,525,993,188,581,369,829,359,619,463,506,508,
269,739,908,206,819,474,835,855,063,037,123,115,807,175,129,580,639,357,841,
807,371,168,910,309,125,090,903,550,603,581,897,331,075,575,976,894,857,416,
848,031,351,186,531,822,340,004,590,525,700,156,924,565,156,591,672,075,045,
258,943,073,013,180,930,183,095,482,580,482,241,937,230,487,240,671,676,161,
926,296,138,042,402,206,614,076,777,528,716,199,997,987,964,654,726,892,679,
707,616,783,262,888,299,457,535,896,329,470,081,047,013,080,634,203,162,846,
818,797,826,739,448,694,078,387,140,793,037,187,542,994,973,894,562,194,617,
762,817,421,804,771,598,993,154,870,092,905,525,445,127,031,751,930,259,352,
219,953,688,612,652,003,579,456,375,282,621,602,805,802,341,757,280,817,811,
450,957,382,411,530,804,241,064,606,689,689,265,203,823,408,972,950,050,749,
597,984,783,216,678,190,815,207,250,381,390,582,521,464,753,331,253,361,864,
499,083,797,500,388,625,305,862,736,499,169,926,237,079,863,165,693,503,209,
926,672,333,802,221,503,962,196,049,262,418,391,401,886,643,595,443,713,533,
235,336,536,909,571,214,008,653,441,377,192,556,964,258,223,988,695,378,461,
793,936,625,591,419,052,732,590,653,349,927,117,379,099,996,098,647,020,125,
128,988,081,835,821,594,531,333,140,012,635,089,518,711,421,264,212,908,734,
729,757,167,986,540,498,014,218,494,315,989,090,423,778,559,813,583,851,041,
466,190,731,742,346,313,310,890,784,990,892,067,500,584,803,357,797,481,564,
186,233,705,093,098,094,804,565,924,210,446,903,697,425,111,616,944,199,760,
621,494,277,301,810,850,448,110,329,030,360,238,198,603,073,964,065,142,171,
126,383,120,890,683,336,342,720,933,263,178,295,863,486,584,653,882,328,691,
846,695,836,366,656,275,106,748,753,134,657,439,353,361,855,930,611,367,668,
980,107,014,291,700,102,160,342,630,977,850,213,937,949,820,386,221,593,533,
514,130,705,054,760,273,812,589,555,077,492,841,610,975,474,070,780,286,751,
967,062,248,115,922,248,733,466,609,568,278,455,499,390,032,940,539,603,909,
328,301,146,362,081,602,596,643,761,188,022,780,174,514,909,519,681,066,327,
963,380,605,456,344,210,430,380,458,787,293,782,672,938,324,690,548,884,001,
422,161,392,116,572,245,537,781,098,506,028,120,113,205,275,235,656,950,598,
157,142,272,361,720,382,438,826,193,645,963,465,065,205,035,141,538,480,724,
777,176,386,284,854,643,989,909,116,748,269,191,565,671,548,918,413,527,757,
697,383,268,158,708,107,176,372,681,105,353,973,103,160,428,128,090,441,614,
694,123,015,662,948,404,944,193,654,414,691,818,924,672,567,222,184,791,622,
604,353,619,860,761,206,677,113,594,134,620,259,295,455,443,356,736,998,411,
471,439,955,842,536,322,191,143,172,754,239,067,415,605,808,632,591,919,612,
598,314,966,129,272,570,891,091,374,802,231,733,508,436,836,806,776,758,607,
163,855,726,417,176,560,107,412,944,350,539,574,998,871,795,010,337,561,319,
884,081,271,532,739,777,589,089,906,732,801,715,137,645,926,892,898,418,685,
582,414,607,366,317,969,809,481,488,126,564,696,689,694,726,239,438,525,297,
315,276,660,104,106,055,778,648,429,473,944,826,360,272,310,957,873,957,249,
261,022,752,740,880,908,093,248,555,175,654,497,656,682,128,650,602,556,220,
607,914,832,782,207,034,301,259,589,337,163,177,155,055,974,263,010,299,910,
112,714,397,252,749,259,262,611,455,376,773,991,970,484,488,889,656,939,699,
282,028,955,679,661,765,713,220,855,683,221,550,290,290,733,056,484,106,005,
649,612,365,679,819,002,921,931,070,415,395,331,244,906,495,913,540,694,052,
718,529,668,547,879,622,020,893,497,998,993,897,094,410,653,454,610,790,463,
375,986,267,318,095,488,231,806,487,735,302,258,172,595,691,354,173,989,067,
946,254,538,182,095,627,159,106,565,332,443,721,441,965,979,691,706,112,797,
588,990,136,367,057,511,719,998,278,831,642,825,711,709,038,332,231,625,450,
687,771,183,687,236,037,191,418,138,828,038,548,024,856,963,118,328,034,139,
650,877,889,061,500,947,495,895,324,245,099,436,618,260,693,205,927,330,610,
298,587,840,099,354,404,274,591,628,555,414,560,363,811,133,883,147,530,673,
265,559,780,384,054,935,258,909,062,175,226,595,811,008,546,744,380,135,025,
134,112,308,892,593,560,037,650,159,610,268,846,784,271,978,087,141,681,096,
427,143,101,118,125,095,647,344,207,279,911,802,743,376,765,615,762,419,690,
059,864,156,966,429,090,887,374,457,752,045,097,834,900,253,313,074,147,727,
916,955,993,086,605,777,961,374,246,981,509,797,831,491,839,844,882,790,619,
584,763,332,274,519,413,659,320,332,778,385,086,053,763,754,470,001,812,231,
147,661,646,480,761,105,022,890,469,405,563,111,700,643,274,004,253,517,724,
355,408,665,024,260,736,956,024,461,508,223,041,582,966,173,354,234,726,340,
043,364,429,450,270,679,961,977,306,516,944,262,081,212,046,736,346,617,821,
211,613,186,267,261,028,682,196,961,755,296,281,890,858,205,112,101,226,339,
074,739,476,501,586,558,223,331,623,989,834,029,203,685,913,255,674,141,361,
864,753,103,598,923,622,475,546,062,676,543,607,957,032,069,205,340,238,211,
498,165,742,884,787,718,556,162,294,886,667,023,791,431,714,402,859,904,025,
149,717,690,439,313,059,741,482,830,320,058,890,881,050,712,428,476,126,067,
797,399,339,278,873,350,029,156,116,940,639,045,579,762,160,061,811,846,062,
314,840,886,441,211,198,426,593,065,930,931,833,009,494,081,889,213,691,521,
012,937,058,141,464,895,765,925,569,646,645,860,673,241,563,790,183,359,883,
885,441,909,597,486,951,173,242,366,344,471,389,769,100,918,881,702,226,490,
060,137,772,521,600,685,873,257,240,852,046,185,665,966,263,765,502,113,762,
965,294,482,798,723,149,797,740,836,919,029,557,364,963,261,610,288,931,269,
882,188,170,855,666,783,393,341,628,945,486,542,459,536,221,464,424,950,963,
758,952,289,760,041,982,928,093,427,048,920,893,048,277,471,941,128,143,438,
485,736,970,204,417,495,898,426,165,862,926,448,635,419,172,585,830,865,802,
365,408,381,488,246,124,817,425,664,820,291,134,822,390,264,032,314,552,339,
387,719,085,789,591,186,470,785,186,066,030,188,422,683,157,774,326,378,360,
947,520,898,739,933,744,953,253,770,944,030,267,217,235,019,584,905,143,833,
340,630,446,083,167,509,504,652,750,206,601,486,614,519,050,258,760,275,840,
837,086,678,202,870,148,472,763,637,702,356,622,744,433,523,652,352,645,822,
283,447,668,928,928,279,911,664,206,596,915,245,369,892,331,712,905,166,346,
473,626,524,226,141,673,420,671,581,309,309,563,078,108,521,039,272,662,060,
357,368,288,671,444,548,319,563,444,678,512,357,787,654,978,131,612,432,068,
349,719,809,190,418,909,273,761,456,973,709,547,873,801,800,568,617,342,484,
159,942,306,318,345,566,431,459,915,783,107,737,929,778,263,951,542,892,145,
631,345,727,791,074,864,568,196,057,785,607,474,688,295,097,679,019,649,210,
812,818,977,747,469,833,062,905,100,106,683,883,535,293,437,066,455,567,818,
939,081,074,516,840,121,524,691,013,019,535,204,135,839,512,576,567,452,845,
156,923,569,967,472,361,484,439,750,254,572,616,124,176,112,435,273,937,180,
959,473,285,265,457,820,445,008,734,757,176,040,379,011,333,479,328,484,420,
369,698,012,944,206,427,577,175,033,337,295,446,524,250,789,350,979,640,396,
686,972,348,411,015,383,530,974,195,505,414,932,284,360,260,013,351,713,336,
388,147,207,633,892,078,372,528,011,126,969,675,098,784,832,622,346,769,285,
591,439,355,740,618,400,934,247,718,743,157,645,838,304,672,417,016,530,290,
847,608,408,066,865,536,021,748,388,710,077,458,889,725,502,368,648,798,922,
952,467,263,160,402,742,273,034,413,814,043,930,311,974,047,120,836,016,120,
246,538,976,506,316,415,064,228,133,751,081,600,140,074,622,341,941,336,836,
862,180,101,786,219,905,734,382,700,870,223,590,129,200,001,353,888,379,757,
698,861,611,756,715,152,932,744,581,975,186,584,703,087,618,135,244,600,466,
656,856,167,645,755,788,113,704,904,959,451,301,186,525,481,395,786,426,870,
842,912,572,829,756,720,600,581,791,973,036,186,252,726,688,717,253,599,881,
585,532,001,828,404,300,990,620,256,161,429,092,044,715,718,946,153,098,897,
038,543,727,245,468,324,985,310,513,904,283,955,468,365,241,688,976,995,277,
496,635,003,563,263,668,606,694,528,134,965,192,893,294,003,792,971,402,559,
200,236,350,377,801,327,935,600,620,869,764,378,236,590,536,360,799,432,380,
223,297,298,364,077,193,292,780,170,259,542,912,785,442,153,041,257,159,461,
057,748,376,527,388,842,594,110,278,855,996,272,091,219,408,593,994,295,833,
161,149,209,254,806,370,284,584,710,452,732,430,213,174,232,577,973,261,165,
538,013,792,881,984,355,607,467,236,044,722,389,787,412,770,617,778,180,901,
043,973,120,248,093,535,615,365,542,442,323,801,138,918,735,313,766,308,641,
061,384,875,033,369,311,357,618,735,950,072,436,571,195,315,818,812,020,803,
825,049,498,256,968,143,693,933,221,490,002,563,630,271,528,100,359,857,390,
050,701,977,293,277,763,556,453,601,671,279,708,255,596,359,560,131,194,853,
250,526,826,131,583,505,488,107,865,730,365,256,313,212,054,057,364,495,985,
993,935,376,017,222,694,331,171,173,187,538,242,055,366,176,229,756,575,416,
849,474,745,010,174,990,439,551,571,268,019,107,406,904,722,667,245,694,441,
515,759,460,009,022,606,289,790,895,093,413,348,582,787,209,816,289,942,477,
645,540,400,045,899,279,942,182,916,321,456,681,119,816,291,156,173,327,406,
896,151,997,435,688,987,239,970,826,938,223,851,613,158,728,362,042,610,792,
970,321,584,951,323,152,200,533,999,601,816,822,546,480,065,108,871,424,333,
082,421,472,072,334,666,102,644,128,856,982,544,797,717,061,530,594,357,104,
909,549,917,056,004,528,999,640,885,191,716,985,143,063,690,986,310,944,919,
118,936,269,710,951,528,277,963,108,112,581,115,792,465,324,396,779,019,406,
483,581,607,242,562,560,482,582,454,637,691,499,586,825,892,975,262,734,986,
216,429,473,382,871,729,525,910,138,512,311,677,518,549,438,715,498,701,446,
759,971,023,355,892,307,156,959,207,204,844,376,141,585,716,265,213,881,387,
146,932,713,586,937,492,051,908,308,212,908,403,848,938,525,072,226,472,831,
772,499,634,655,761,072,870,207,844,103,485,532,056,329,912,921,553,912,839,
096,617,677,162,090,644,610,458,315,621,723,850,726,354,106,899,015,514,427,
817,784,778,193,765,819,202,945,177,909,802,578,935,172,283,437,068,693,032,
158,519,430,889,350,656,895,507,035,986,707,761,016,286,547,185,831,103,776,
862,320,722,753,641,767,894,627,924,054,918,464,376,748,994,215,924,889,791,
478,063,730,000,351,477,037,587,481,515,926,294,680,559,829,387,422,471,866,
095,261,141,230,860,192,063,652,322,711,229,026,966,738,560,321,868,163,042,
520,384,384,075,125,862,101,429,308,162,583,437,218,724,406,704,038,934,139,
767,093,012,648,923,389,539,085,808,906,021,876,197,062,580,583,975,560,536,
341,289,980,011,172,817,831,589,862,980,119,910,044,227,213,096,005,867,911,
696,905,381,119,933,628,953,650,593,492,106,527,499,013,200,131,622,523,326,
937,354,322,306,992,119,899,125,895,113,946,105,947,519,926,536,824,391,770,
591,350,272,792,708,577,689,336,260,464,864,401,973,966,469,715,097,770,378,
415,392,786,833,100,067,154,504,586,832,420,845,236,689,506,215,873,035,669,
181,706,977,580,672,177,140,073,344,238,930,787,050,058,404,305,645,515,085,
103,086,223,051,742,470,173,670,457,524,628,170,467,047,510,769,744,398,417,
511,933,936,937,934,833,543,270,673,538,262,032,034,848,245,810,243,861,751,
149,254,335,722,557,527,883,483,850,806,613,615,624,901,595,364,448,144,473,
056,420,476,621,182,653,579,434,521,254,922,110,765,101,641,349,360,498,801,
754,270,403,244,777,615,272,793,966,861,063,999,589,797,807,619,535,949,477,
781,719,746,881,888,679,582,831,177,035,858,671,578,318,874,338,275,473,988,
344,036,616,631,681,817,717,174,878,628,706,722,730,410,262,193,545,736,062,
810,545,407,842,927,064,460,036,366,608,785,096,143,697,998,310,330,242,996,
897,945,898,479,062,006,141,832,795,384,859,186,171,951,627,187,032,407,936,
330,523,042,589,163,859,591,721,505,877,322,812,125,053,042,495,503,843,460,
778,048,984,900,726,275,755,368,497,627,252,966,058,226,523,637,228,631,021,
308,961,556,295,702,898,399,867,839,150,195,698,093,133,813,979,548,617,107,
965,253,235,798,448,162,489,309,299,205,678,274,586,098,645,129,040,771,648,
785,810,481,957,730,258,254,125,314,581,557,630,370,254,462,656,053,455,819,
509,083,432,460,964,837,761,305,037,095,402,337,327,463,321,013,635,328,783,
485,378,059,356,943,685,174,307,795,272,879,922,919,131,209,481,076,167,419,
382,032,431,210,371,899,257,351,411,522,096,953,491,875,566,522,554,369,995,
540,773,931,367,970,845,669,517,589,853,300,995,882,389,662,420,803,223,649,
357,864,378,835,848,539,437,626,874,150,360,431,147,891,681,031,550,652,796,
149,212,075,612,981,353,586,467,889,869,891,273,588,600,035,290,997,935,025,
354,734,128,580,668,646,797,117,183,850,445,004,560,425,323,669,142,302,861,
800,280,087,597,449,330,040,420,242,279,222,287,976,798,094,822,103,269,336,
711,553,789,362,067,405,492,337,329,442,067,706,091,837,725,843,900,791,281,
154,886,808,388,568,676,043,088,577,780,841,151,298,737,562,171,241,382,994,
931,848,703,498,447,377,022,527,336,624,926,312,220,472,356,798,554,529,372,
579,197,534,262,833,343,662,320,474,416,701,654,876,524,765,705,097,694,430,
974,562,132,946,589,395,067,925,241,331,591,094,512,830,478,018,993,119,138,
989,727,198,648,260,024,059,932,667,465,254,050,335,130,073,739,928,619,808,
883,926,904,764,104,226,667,418,411,249,088,162,506,047,349,704,993,845,913,
833,015,741,423,816,612,117,453,798,558,265,167,324,068,236,831,671,582,107,
152,646,892,917,206,766,556,021,034,691,977,116,669,679,061,607,495,237,863,
236,276,381,896,537,956,179,488,984,450,496,002,508,980,648,641,093,789,776,
308,395,672,956,157,948,489,051,773,655,845,513,065,765,690,343,960,678,994,
708,081,305,355,746,510,016,557,278,196,072,511,675,351,327,865,656,383,971,
619,424,417,295,964,864,580,450,506,771,005,209,069,308,997,730,708,934,462,
778,296,860,129,421,193,433,737,800,889,292,665,062,244,562,088,800,829,652,
627,719,999,441,841,115,179,179,929,405,128,572,776,888,621,415,643,379,551,
574,433,206,593,163,644,064,497,395,998,170,050,586,085,451,038,967,503,792,
998,403,472,710,098,708,777,670,250,264,331,468,443,781,880,629,393,193,970,
236,322,664,729,087,991,139,393,999,542,807,326,623,272,453,703,395,679,957,
777,048,028,876,148,408,606,834,669,405,071,213,024,487,177,144,902,670,334,
139,733,444,532,955,046,968,801,505,736,483,209,314,988,197,736,383,480,253,
442,156,044,137,868,441,772,988,898,900,754,863,088,058,181,851,934,935,280,
450,082,243,728,573,391,143,724,901,572,069,618,640,567,531,370,674,970,409,
698,358,614,561,543,021,631,317,896,763,542,046,871,732,240,726,307,528,642,
893,611,111,108,736,896,024,935,206,902,277,115,710,460,823,184,387,087,699,
664,581,503,049,296,671,535,595,477,300,686,954,515,126,567,920,706,148,387,
528,546,202,179,344,815,677,395,219,869,797,027,390,593,864,993,581,748,460,
929,232,583,701,349,425,441,966,499,442,802,265,993,565,394,139,771,030,278,
976,047,414,925,960,552,266,188,818,936,317,258,913,522,419,837,481,065,963,
333,077,594,861,094,314,238,958,687,064,619,398,040,814,224,928,045,666,562,
209,754,945,986,516,396,611,139,971,294,463,733,990,286,268,149,758,890,194,
180,811,641,084,355,566,605,848,623,476,584,279,123,046,643,412,395,937,876,
618,478,800,777,825,634,774,105,527,887,876,598,007,162,023,816,435,734,343,
102,457,132,434,784,908,880,559,211,294,094,434,371,805,288,537,870,435,978,
202,697,629,391,842,485,856,722,496,339,704,345,264,949,451,996,499,777,086,
367,009,342,022,726,616,123,324,194,573,916,670,930,100,644,905,066,313,107,
275,693,806,718,116,881,882,324,084,555,982,708,112,528,073,608,658,778,201,
691,402,402,126,649,484,982,986,600,356,306,675,012,527,073,503,415,920,383,
384,685,142,208,567,958,713,521,947,935,981,223,018,740,177,841,637,274,563,
723,428,184,032,169,838,177,267,693,816,843,384,373,519,284,545,220,524,877,
189,257,074,519,077,237,614,525,950,458,040,458,677,989,481,603,702,486,262,
473,892,672,961,642,949,758,696,117,317,350,037,940,997,753,851,618,617,263,
941,012,706,223,112,427,798,606,171,598,811,262,761,229,700,233,170,049,613,
819,030,862,785,554,478,960,828,159,182,681,795,520,334,887,247,986,564,800,
246,999,731,367,547,552,713,975,693,550,374,341,806,339,939,031,038,129,542,
121,848,145,120,405,356,284,849,646,588,009,501,626,713,682,730,525,407,223,
309,058,787,409,668,729,032,282,828,254,645,005,009,772,809,451,483,940,018,
946,598,724,240,717,489,482,715,063,512,562,899,578,596,762,879,725,033,577,
993,142,290,534,391,278,896,774,029,032,326,159,342,264,040,948,818,587,951,
661,158,151,140,959,318,883,673,228,193,514,776,622,158,870,942,679,791,530,
496,018,623,665,120,721,629,383,645,071,481,485,314,179,269,978,437,517,509,
336,209,738,580,956,626,037,608,300,577,069,512,921,943,392,667,808,715,746,
694,511,359,963,287,090,869,051,574,806,193,985,253,836,642,406,242,101,262,
824,310,172,482,230,116,988,666,002,673,790,673,130,491,176,606,242,906,799,
132,801,506,420,370,510,715,785,712,320,688,965,424,663,922,989,326,416,848,
864,803,416,686,646,809,923,955,893,936,253,306,751,820,977,871,615,736,167,
073,510,755,340,581,941,139,048,524,618,894,848,309,458,840,722,694,237,869,
581,398,483,494,149,692,902,313,697,108,282,476,725,243,921,648,388,122,787,
697,748,218,687,974,912,136,904,119,572,156,033,878,823,360,409,922,678,046,
750,692,779,704,892,186,906,185,058,440,872,810,667,012,471,557,096,344,630,
823,171,734,674,379,460,245,382,305,191,454,425,333,577,395,707,797,382,406,
876,580,894,072,684,120,871,827,844,036,081,117,538,068,168,727,676,408,579,
578,289,734,714,117,107,796,990,518,920,037,104,770,008,755,573,840,397,948,
389,787,129,983,826,513,515,453,329,715,061,300,387,430,979,752,313,194,156,
333,491,692,997,328,560,662,481,118,335,622,262,825,394,619,273,649,382,639,
699,099,909,419,817,622,517,953,769,201,108,160,617,329,183,756,921,850,455,
313,249,557,883,700,655,948,030,586,447,443,489,186,345,299,033,828,017,217,
781,890,529,756,604,562,885,213,664,042,192,181,358,723,580,432,029,846,611,
981,553,931,777,016,935,419,879,011,372,706,682,703,975,450,302,000,788,219,
000,266,057,886,054,524,504,643,018,574,321,098,215,388,765,827,824,687,605,
847,726,841,733,955,545,881,628,288,921,006,926,800,516,484,015,107,702,003,
598,759,362,741,563,130,470,090,556,574,295,262,540,436,839,496,572,467,372,
023,689,338,548,658,603,579,496,596,210,960,303,939,818,021,649,110,312,864,
404,700,455,405,554,955,416,434,101,887,583,287,315,201,720,393,312,160,250,
534,587,949,184,120,422,444,139,437,759,705,093,517,262,145,506,157,801,519,
314,234,778,706,049,283,263,975,769,681,305,033,731,701,608,952,417,615,861,
255,534,063,382,324,242,162,630,823,871,884,057,415,741,380,420,355,183,726,
196,116,683,393,742,673,926,351,800,541,401,873,665,924,320,336,947,737,454,
664,268,651,889,672,483,199,096,073,131,580,070,441,193,420,630,089,305,769,
138,577,650,387,516,781,112,478,710,668,371,218,071,756,722,208,022,038,250,
523,257,332,692,638,019,948,385,935,523,883,197,693,392,846,227,273,928,653,
716,959,206,952,143,913,627,382,210,129,829,116,974,795,108,296,031,116,558,
208,723,239,651,921,583,129,864,548,701,718,856,355,906,297,621,130,064,936,
439,648,940,440,195,271,543,228,033,494,490,990,571,664,943,938,593,733,496,
264,371,745,442,612,591,249,250,202,294,069,008,003,716,847,803,520,046,352,
791,455,871,971,130,704,391,840,851,253,430,984,260,920,343,460,709,835,411,
811,187,018,344,727,103,463,154,539,011,838,600,739,466,463,162,204,151,955,
993,697,976,600,017,742,587,589,230,634,248,141,912,279,485,747,148,376,424,
970,828,775,507,265,769,605,719,355,901,138,934,216,787,635,987,877,465,866,
233,662,444,903,851,264,038,195,498,335,472,597,065,723,047,513,246,993,237,
699,074,776,666,792,087,342,757,246,716,920,155,498,619,425,619,121,557,494,
836,743,625,126,395,498,498,006,797,342,280,822,471,594,393,133,722,399,374,
310,161,342,324,328,050,987,454,832,619,573,247,710,457,837,742,508,699,946,
458,662,716,522,851,246,855,409,355,241,165,976,756,857,044,385,850,670,617,
066,591,847,404,754,947,097,008,113,783,984,191,522,825,791,090,584,302,554,
406,579,501,522,264,236,413,260,878,536,329,899,080,733,904,954,037,169,148,
556,156,376,921,410,299,488,426,027,761,302,416,316,213,230,135,306,913,004,
407,601,426,145,572,667,096,804,112,027,022,208,532,120,554,486,218,523,407,
559,205,649,876,387,318,639,128,754,001,689,873,002,579,279,058,356,498,597,
813,364,530,832,650,940,915,848,738,119,699,259,911,470,711,588,654,268,957,
314,621,539,950,565,144,997,429,905,575,969,344,581,885,089,067,302,679,654,
218,362,652,676,469,250,203,253,069,739,087,526,047,025,768,724,352,860,952,
742,095,658,487,058,095,281,093,471,648,728,545,865,617,398,509,694,215,755,
338,146,267,050,463,988,252,005,436,860,869,680,803,652,633,097,389,059,801,
061,435,695,403,268,235,907,053,889,207,065,019,207,257,115,071,112,508,954,
469,880,525,235,880,150,443,013,818,226,254,941,690,664,589,927,274,845,935,
172,673,209,652,102,117,369,279,519,152,444,624,368,889,492,485,029,815,477,
915,804,475,398,666,743,008,833,568,952,061,225,766,639,686,872,338,737,579,
089,095,416,269,630,815,742,942,748,409,460,086,633,521,949,960,914,622,580,
079,703,896,741,905,345,467,585,573,069,348,022,129,661,539,901,205,520,698,
307,483,836,958,536,608,214,448,371,094,846,025,006,671,138,455,155,220,099,
185,520,269,508,255,778,203,524,359,211,522,735,297,928,047,464,550,115,343,
427,480,555,464,200,598,305,136,456,522,181,088,905,614,503,372,138,930,312,
010,051,815,265,748,878,085,835,513,394,142,719,340,035,244,489,456,427,108,
557,605,031,975,559,395,661,003,876,695,846,622,947,479,764,713,936,361,125,
403,075,359,766,910,085,480,708,279,306,934,048,844,599,428,506,298,528,091,
146,731,580,868,834,152,151,679,376,457,624,535,452,265,705,117,986,418,043,
038,112,213,960,130,020,866,766,875,723,075,261,264,774,119,539,962,733,161,
279,955,729,921,653,279,762,573,321,553,178,407,089,173,492,351,583,001,853,
921,595,836,718,948,268,292,780,033,170,617,534,438,754,270,141,197,157,853,
639,345,372,843,851,135,306,210,432,494,314,880,103,254,656,693,323,503,447,
497,711,515,761,337,138,515,504,254,904,328,270,612,433,101,693,991,189,262,
350,988,524,943,517,167,390,950,738,881,419,500,439,469,617,195,473,975,694,
933,013,077,864,728,763,512,562,443,114,489,366,727,145,371,859,675,928,313,
213,106,878,402,184,968,129,548,338,108,667,883,134,027,292,790,802,684,257,
639,599,482,579,039,980,238,166,556,898,598,347,999,729,776,263,249,340,136,
126,848,501,028,878,198,242,999,310,506,516,475,432,160,593,963,190,965,281,
894,997,624,223,889,759,977,391,238,080,834,751,641,005,882,218,582,518,527,
656,377,217,010,245,995,536,865,187,096,906,259,217,247,337,559,495,674,642,
223,701,426,618,927,349,647,759,445,434,406,808,549,174,564,296,277,646,987,
072,091,674,917,410,267,656,194,198,587,967,111,939,678,780,590,346,568,585,
898,923,392,864,418,183,009,993,640,986,068,121,484,142,610,239,023,423,192,
395,585,930,359,091,241,484,169,302,753,675,305,128,386,686,958,836,538,667,
153,920,065,677,014,292,390,190,814,608,424,808,071,777,575,119,322,272,329,
333,121,042,036,243,843,328,779,142,888,147,262,194,546,712,882,816,580,461,
805,361,784,787,805,548,380,225,742,284,949,273,504,772,351,478,234,087,721,
257,436,152,072,558,990,010,960,912,036,475,581,025,382,164,794,027,978,292,
327,229,350,637,924,778,882,664,533,321,969,312,840,692,875,614,420,169,127,
456,768,325,282,780,364,865,404,969,855,572,839,051,130,489,168,173,072,304,
444,667,724,889,098,664,566,972,661,311,450,383,909,014,928,333,794,710,807,
925,855,246,620,733,862,586,630,179,594,792,543,146,725,263,915,873,095,420,
014,156,128,126,686,017,865,466,110,661,821,506,134,020,544,056,690,771,227,
453,142,330,632,854,255,238,755,879,115,327,342,243,408,048,070,853,029,094,
831,068,763,570,852,184,086,515,364,876,861,156,302,109,512,022,234,460,300,
464,641,691,535,168,837,220,376,602,975,160,809,074,974,896,867,966,082,470,
454,193,565,858,305,228,324,235,595,496,088,737,673,966,310,809,961,867,174,
666,617,832,355,218,318,113,485,458,652,334,693,143,080,492,868,606,610,503,
229,897,356,014,371,541,743,818,398,565,372,906,271,865,542,014,774,466,140,
893,108,486,457,098,589,012,305,522,013,214,435,398,258,252,618,805,072,887,
291,778,468,694,253,812,332,722,456,200,868,450,695,977,749,107,360,062,825,
810,323,780,294,862,499,254,580,823,575,692,195,211,836,966,088,795,292,804,
599,366,257,363,784,325,189,069,096,818,311,072,393,655,334,034,800,944,577,
212,238,964,906,814,607,224,864,736,532,881,624,273,830,387,650,109,630,354,
999,263,032,921,658,722,358,466,536,115,686,016,319,427,302,893,235,280,549,
619,046,557,225,221,563,247,525,853,311,124,429,433,160,308,044,433,726,500,
059,206,128,777,597,712,354,125,050,101,272,298,456,624,755,104,056,999,080,
933,184,325,098,027,939,359,735,057,870,547,135,471,907,606,903,966,525,131,
257,334,307,389,534,125,969,805,493,012,492,013,344,279,240,054,394,510,076,
407,174,918,817,046,407,107,654,754,236,090,264,806,592,089,360,614,565,645,
450,477,704,748,367,956,921,110,646,265,742,006,375,906,116,635,784,661,660,
176,735,105,007,583,690,879,906,368,349,803,562,009,717,737,801,941,010,562,
193,378,493,764,606,023,949,244,262,791,751,536,648,254,064,116,377,095,271,
371,864,074,136,488,193,421,210,715,664,653,030,932,087,743,479,896,110,369,
802,898,330,671,643,533,969,473,241,554,642,656,243,333,386,354,009,607,371,
976,569,093,562,416,578,959,661,937,604,393,311,118,110,089,735,202,278,299,
061,529,728,323,483,653,585,064,112,181,900,033,409,290,159,604,229,028,802,
095,095,473,114,681,725,140,537,823,617,117,417,940,273,981,977,203,337,629,
579,651,663,930,925,442,302,953,011,140,630,075,728,711,635,170,198,231,740,
852,704,079,984,186,486,564,268,889,645,420,189,328,462,700,293,991,400,549,
272,259,128,440,057,727,791,328,238,832,307,795,847,620,451,509,100,946,756,
522,367,289,982,629,099,972,760,627,312,619,966,313,966,495,683,627,958,552,
400,438,336,598,408,756,152,586,702,319,635,674,536,448,228,433,146,459,137,
976,930,891,551,290,283,474,618,472,670,790,595,977,131,991,256,925,835,603,
228,537,537,976,046,227,138,999,842,830,454,756,137,600,744,404,764,454,533,
382,432,191,747,824,725,035,167,180,205,708,721,036,323,984,395,028,020,812,
994,326,965,804,809,032,434,352,239,373,971,667,718,337,197,937,973,053,060,
261,497,355,969,333,904,697,876,839,041,702,243,820,136,594,645,687,169,971,
162,919,434,624,700,031,913,100,693,242,637,209,410,078,075,620,507,318,984,
144,425,700,469,220,422,259,461,611,169,403,134,495,925,617,001,346,080,288,
503,877,193,404,711,503,082,622,426,480,883,243,969,926,922,978,251,697,075,
721,334,082,351,832,250,714,143,573,130,933,478,793,779,715,694,118,348,930,
202,362,580,536,182,828,191,081,174,125,268,626,547,110,397,520,958,459,774,
183,197,215,810,902,830,536,753,271,392,952,815,624,892,268,820,353,641,157,
342,426,184,090,951,240,806,478,370,319,700,480,599,163,630,447,520,648,917,
333,301,398,835,123,924,803,512,998,646,831,428,082,672,906,238,262,439,135,
887,672,925,958,850,017,063,923,536,123,038,859,919,704,124,395,708,536,017,
185,556,399,440,660,024,851,170,059,853,193,165,552,090,999,161,662,612,932,
525,643,613,279,114,015,778,362,873,974,155,463,712,609,567,808,681,006,829,
726,949,745,755,106,854,625,888,582,216,782,015,379,351,574,060,848,114,775,
141,307,995,169,694,951,266,235,139,233,614,609,625,225,536,230,615,719,251,
029,675,349,245,545,940,277,356,041,748,991,913,967,740,540,257,205,825,544,
594,745,997,242,976,782,764,130,658,390,454,941,684,289,104,357,984,627,584,
663,523,287,956,283,690,752,165,153,653,449,845,185,471,002,545,360,205,390,
635,114,244,836,135,823,936,913,496,747,709,764,101,205,955,574,611,975,329,
080,095,458,334,597,664,501,779,529,023,817,660,693,344,518,242,674,718,303,
300,156,050,294,893,481,076,567,159,213,162,842,013,380,470,455,639,923,352,
820,508,374,429,682,423,864,205,081,396,011,105,968,827,791,340,386,913,785,
424,235,780,673,448,301,065,546,627,709,719,522,754,556,269,818,315,934,562,
058,142,899,766,797,179,839,874,590,750,255,020,586,725,072,833,603,327,538,
865,366,620,013,839,803,894,334,048,436,846,261,404,454,574,290,343,193,727,
116,850,937,116,353,523,438,155,236,969,468,581,558,114,707,193,960,558,540,
074,210,046,035,270,516,801,255,785,794,834,786,741,193,139,599,981,942,895,
845,430,929,074,754,065,341,489,807,946,747,696,444,122,204,083,530,193,635,
784,614,937,821,492,379,009,868,062,860,324,702,403,321,632,835,108,952,680,
488,490,147,063,357,658,899,322,994,670,886,995,817,026,806,579,366,803,944,
419,949,833,791,106,007,143,824,900,303,778,948,438,641,790,927,706,767,487,
665,072,171,014,171,997,235,915,107,582,119,415,577,864,107,034,125,171,725,
735,552,465,657,482,540,527,898,089,975,677,363,581,494,044,013,069,379,930,
164,486,228,655,617,363,381,309,919,937,908,057,902,861,773,324,285,760,906,
390,125,863,896,216,131,947,591,646,126,309,679,906,917,687,558,963,783,728,
233,306,035,847,270,994,447,509,595,023,742,000,765,108,570,355,230,553,100,
955,900,934,424,301,926,453,280,806,054,837,739,325,751,474,690,978,248,813,
674,379,613,697,172,739,691,510,123,242,693,335,736,726,594,403,943,055,709,
412,904,518,044,698,476,135,470,682,875,841,442,753,405,712,064,092,586,199,
663,817,882,288,115,445,805,388,263,264,525,767,830,486,791,858,689,551,940,
518,148,377,059,530,569,912,390,800,492,670,071,306,684,467,701,457,689,767,
078,972,170,456,966,171,541,360,339,349,370,930,642,820,513,142,401,071,517,
151,340,082,029,454,656,528,739,525,715,450,293,750,173,155,554,133,394,619,
146,738,629,007,716,885,494,885,289,499,256,245,657,813,878,815,154,393,228,
875,944,867,363,949,405,864,314,014,475,876,678,516,333,905,105,425,823,705,
800,964,891,407,516,561,438,790,141,344,130,358,686,843,435,309,340,116,554,
465,819,303,264,759,852,233,323,518,850,811,049,335,387,648,892,059,439,985,
065,963,493,566,194,828,610,320,615,494,907,145,167,401,510,021,005,228,128,
720,475,235,987,910,869,052,146,548,791,787,095,667,627,493,397,617,484,163,
502,243,960,363,354,895,423,813,896,517,610,228,088,409,250,430,593,362,176,
819,347,592,310,217,650,681,646,025,558,832,076,044,717,143,838,380,365,129,
305,867,997,330,078,663,604,095,857,992,376,176,686,985,927,781,350,675,393,
530,903,657,252,634,740,403,750,893,249,353,628,157,102,422,158,700,568,646,
597,684,348,150,700,435,651,936,148,455,673,483,916,797,712,673,434,678,757,
495,307,685,457,670,404,229,666,845,399,935,038,036,517,265,648,575,841,072,
710,049,202,049,676,671,715,133,631,231,884,668,581,372,032,034,092,292,690,
897,276,573,293,385,724,871,982,895,257,706,343,340,337,821,248,306,439,172,
516,913,509,348,840,494,456,537,423,707,414,395,471,281,547,116,100,961,866,
992,583,243,247,229,446,884,594,554,207,472,462,266,333,247,415,235,414,161,
310,724,324,939,629,519,917,260,075,833,316,739,582,333,238,941,573,913,853,
972,615,343,858,427,580,287,773,805,562,225,305,395,101,219,991,540,832,460,
629,263,436,149,384,905,157,405,305,656,032,097,101,669,564,601,045,766,324,
210,878,500,164,817,849,919,246,756,349,185,252,593,143,867,561,991,146,496,
732,876,479,698,504,078,540,052,361,829,737,685,390,951,487,019,953,060,966,
463,472,020,619,707,978,335,596,149,709,984,649,921,322,637,221,082,730,749,
381,894,953,569,343,185,315,173,073,194,490,441,808,582,856,015,770,412,290,
562,886,701,764,742,343,101,708,901,263,341,488,662,848,243,007,071,222,119,
974,593,509,215,325,034,830,191,693,539,632,103,918,565,463,621,442,899,568,
106,606,427,067,767,324,942,376,371,909,586,819,076,623,706,163,195,750,434,
119,594,751,737,904,388,417,144,338,292,649,260,057,100,047,210,316,223,445,
986,786,928,870,796,440,921,370,673,999,931,879,769,572,981,631,227,187,646,
448,768,074,028,591,311,618,269,613,591,438,534,135,117,558,708,369,146,051,
959,657,341,620,827,501,627,919,390,142,922,356,826,404,797,619,401,038,629,
645,450,910,743,243,241,234,127,679,485,340,807,518,492,831,468,775,828,910,
323,240,540,906,612,015,994,439,603,890,460,981,679,334,863,426,780,565,651,
072,703,348,809,744,516,378,208,022,680,426,855,666,218,493,761,010,179,127,
553,704,079,573,719,251,011,901,302,568,444,062,056,583,959,086,776,856,976,
543,355,850,334,278,904,091,774,242,531,128,878,370,711,004,856,965,243,321,
209,226,213,625,073,990,193,410,004,679,460,683,231,477,687,415,581,383,610,
996,436,236,695,872,704,050,956,019,926,275,463,874,754,850,952,731,055,241,
730,512,719,602,735,968,830,672,697,179,905,369,380,525,510,119,380,777,425,
361,179,682,491,281,006,014,707,131,590,993,604,830,231,129,083,012,827,040,
127,822,079,739,813,792,845,379,853,140,287,308,911,081,687,810,474,822,260,
119,019,133,121,583,585,019,752,032,795,839,950,226,654,634,321,580,614,752,
907,462,641,945,038,179,966,469,301,535,434,566,971,044,265,812,312,361,771,
935,149,795,983,834,555,024,937,735,290,268,522,928,279,347,392,174,657,077,
543,534,713,586,226,000,751,134,823,365,529,856,904,406,827,545,215,225,739,
177,026,893,868,411,454,904,305,131,476,873,537,989,473,163,664,323,705,456,
208,071,399,296,919,461,302,414,051,980,368,401,213,772,809,794,091,969,082,
683,499,455,150,051,469,500,580,780,562,713,771,193,302,733,258,923,294,504,
595,838,679,949,781,736,381,806,145,606,909,672,531,243,818,213,742,997,117,
469,768,826,144,901,680,763,383,215,823,355,180,005,089,920,416,142,482,730,
441,498,102,960,808,868,298,800,468,876,215,369,766,327,554,816,945,422,752,
446,948,404,639,803,297,779,698,585,862,558,409,463,254,745,703,812,689,656,
595,504,486,614,389,633,041,350,806,016,453,949,139,070,542,221,952,753,928,
052,137,064,491,580,792,012,942,301,471,558,457,800,209,129,477,431,020,983,
418,830,602,286,022,720,688,521,592,993,522,532,003,088,506,954,069,265,869,
838,125,118,030,537,136,654,826,552,068,989,607,528,402,755,611,471,091,860,
517,008,154,025,021,315,257,989,228,888,834,058,039,927,583,819,242,863,513,
373,458,091,508,170,579,829,532,137,343,336,702,687,116,200,279,922,097,231,
178,679,349,635,335,249,519,885,068,062,108,151,455,744,972,129,782,164,870,
744,451,849,061,913,343,605,155,304,751,019,722,920,742,611,856,897,807,951,
984,773,675,520,379,785,368,750,951,439,778,484,284,978,363,403,018,202,538,
937,274,288,154,009,516,618,792,275,406,939,965,545,343,081,779,869,408,178,
097,457,325,214,329,922,957,092,302,245,987,951,464,885,097,478,603,456,701,
253,619,752,281,845,420,539,509,585,704,384,450,552,029,165,607,179,678,567,
184,553,656,614,666,131,001,207,781,409,629,670,509,271,342,391,533,465,033,
074,679,401,313,724,293,301,923,449,087,851,318,090,083,755,928,573,129,385,
990,961,276,614,973,764,162,204,258,349,152,757,471,457,786,261,023,047,048,
054,103,422,539,995,969,632,928,783,212,728,890,493,824,409,686,011,537,149,
949,480,823,915,857,834,419,699,314,563,844,497,415,455,952,877,431,075,432,
402,866,398,321,166,252,063,322,274,260,909,330,441,817,161,238,489,236,284,
954,327,953,628,640,218,280,443,073,408,053,505,095,799,517,920,133,411,179,
266,689,735,218,373,428,620,169,481,403,839,848,804,399,437,746,398,079,788,
576,056,329,721,135,285,451,288,505,521,992,466,410,776,972,839,854,492,539,
711,853,549,701,502,901,993,491,610,411,000,114,233,749,447,827,050,190,357,
671,616,662,203,660,334,706,928,069,455,254,371,967,420,700,293,974,997,960,
948,475,051,508,743,440,855,143,121,772,767,924,696,119,463,553,516,408,937,
169,362,593,504,695,589,328,602,946,631,894,259,687,455,511,353,007,997,754,
673,928,041,522,519,845,060,751,790,454,073,225,087,533,029,922,393,192,249,
494,298,116,259,347,627,770,796,794,977,975,705,740,948,723,664,947,504,672,
712,706,484,754,342,287,904,454,902,530,962,535,717,429,794,186,382,913,754,
793,364,270,357,537,796,326,693,109,576,478,974,853,141,349,875,546,932,358,
436,972,837,256,770,592,838,308,231,762,965,413,731,370,441,727,856,305,688,
272,628,099,269,492,393,551,709,960,012,883,649,589,671,533,797,214,527,718,
388,681,118,030,471,000,972,762,069,638,186,147,956,595,103,078,487,283,023,
572,934,342,473,770,566,375,219,937,488,774,569,948,698,530,400,086,775,139,
600,137,500,697,406,531,084,613,491,410,621,125,539,321,663,412,685,555,940,
537,916,909,295,237,663,091,589,803,922,258,606,438,051,286,390,325,974,574,
623,828,249,364,727,278,311,280,239,165,153,851,983,504,375,369,194,544,003,
052,414,889,954,583,585,730,973,037,769,337,285,719,150,096,669,405,383,415,
808,239,547,770,961,508,468,444,985,549,212,837,106,761,564,099,004,211,237,
066,227,077,519,269,800,160,842,975,250,314,495,634,884,452,094,858,009,674,
681,899,862,704,408,499,131,316,662,340,638,390,778,585,786,014,118,146,378,
598,572,463,095,043,084,650,488,442,789,300,217,358,100,852,033,150,351,448,
127,029,702,506,508,677,246,208,754,933,524,177,600,607,640,917,412,995,971,
245,527,952,251,431,358,875,042,649,353,206,832,079,839,673,550,355,119,864,
479,703,281,193,757,182,373,460,379,267,943,676,652,054,774,190,163,641,958,
654,775,652,573,231,468,762,131,002,349,924,133,663,112,167,666,752,354,026,
059,797,784,504,500,457,455,433,991,131,419,343,555,978,432,966,439,652,226,
650,817,638,823,692,431,983,382,125,549,182,911,738,976,779,317,666,967,483,
118,084,975,387,531,487,052,821,757,192,010,363,317,226,500,453,593,503,590,
891,704,528,182,834,351,315,145,668,875,058,519,013,027,659,138,402,883,419,
518,725,797,975,045,772,530,418,467,408,562,298,845,092,083,168,329,361,754,
622,098,526,459,959,024,659,505,327,406,516,187,463,466,186,861,548,519,761,
999,930,882,307,196,673,270,768,517,428,359,964,633,728,224,337,167,967,212,
355,530,148,284,386,034,071,198,088,004,184,196,499,424,153,395,633,146,745,
838,482,537,519,003,881,752,814,272,364,320,754,803,840,496,237,312,642,103,
318,237,441,503,956,725,140,906,078,650,694,159,497,994,577,046,043,020,769,
777,396,665,968,241,931,896,606,212,847,548,755,970,726,697,940,517,466,204,
551,340,895,066,998,385,064,738,982,875,635,117,362,582,315,638,921,087,478,
417,080,267,720,925,208,826,229,874,693,059,819,850,924,312,152,313,917,873,
046,832,995,929,718,301,756,796,598,859,953,044,237,308,546,991,633,573,233,
321,621,470,074,866,106,292,218,267,700,253,736,978,917,616,670,245,970,345,
041,770,960,939,361,386,343,803,695,918,471,030,077,338,420,199,475,623,606,
600,255,737,553,007,162,937,399,343,014,116,733,491,118,951,246,077,910,533,
432,302,163,787,055,102,696,517,404,811,785,831,543,705,100,678,319,940,218,
795,454,584,006,370,457,008,337,267,539,376,573,198,441,296,498,162,262,355,
934,338,927,250,384,448,288,441,659,580,013,874,586,979,137,111,850,145,169,
512,621,483,649,216,810,259,744,593,015,443,830,274,086,197,428,270,984,549,
502,966,567,023,154,065,008,571,148,719,843,614,891,895,005,823,244,223,347,
186,552,360,465,609,885,544,966,754,599,782,979,313,973,244,269,201,051,600,
213,395,896,000,015,713,756,302,177,084,668,210,630,111,949,814,784,391,306,
596,128,283,870,136,662,828,280,636,802,706,314,380,971,590,623,585,920,683,
207,101,342,982,449,581,816,368,697,631,311,404,634,480,347,189,124,877,526,
634,656,098,920,545,730,548,682,112,772,369,904,123,810,511,518,601,442,538,
608,495,852,526,316,484,814,127,708,332,724,289,073,528,415,288,281,001,750,
453,477,154,190,620,645,318,458,710,380,047,304,228,205,925,523,711,148,891,
324,600,553,693,395,636,495,204,882,498,393,732,420,514,348,286,201,958,427,
125,273,172,512,060,240,612,930,617,923,043,450,068,157,811,399,793,167,269,
359,093,461,630,569,602,857,202,440,047,301,170,717,306,642,705,212,663,687,
162,000,484,012,746,418,050,838,296,258,907,401,881,063,945,241,189,521,258,
675,292,155,277,088,749,852,138,847,944,461,154,231,498,545,809,978,282,954,
430,467,166,248,884,634,041,443,015,581,438,452,426,324,934,646,645,917,608,
731,134,935,637,965,816,314,249,453,660,420,611,222,131,206,878,647,821,936,
077,117,427,742,418,875,399,070,784,955,868,831,314,037,136,457,689,024,276,
886,220,343,200,887,834,468,667,805,930,457,826,579,949,519,422,686,913,761,
145,276,451,193,933,163,242,296,538,263,339,427,613,820,689,564,320,618,052,
186,154,101,584,712,392,528,243,517,669,965,183,462,467,927,235,552,946,059,
365,974,548,343,149,659,700,078,345,008,423,215,689,933,658,240,593,784,103,
855,623,780,363,149,166,481,060,614,820,477,525,982,086,370,170,410,934,528,
921,797,560,897,622,339,023,346,841,020,015,622,608,108,710,482,262,163,300,
874,365,786,969,599,082,268,887,347,374,807,297,116,637,544,126,290,898,821,
691,684,491,616,525,805,994,721,181,735,430,743,502,266,953,761,143,152,664,
478,390,420,571,975,463,251,080,791,596,246,857,464,482,749,637,018,320,419,
839,735,128,712,187,657,937,929,076,975,068,651,456,267,920,888,917,236,150,
309,275,797,286,067,722,149,704,533,431,059,190,290,091,292,859,316,643,287,
277,748,042,250,242,170,118,379,506,773,750,526,947,650,984,673,948,681,178,
694,610,143,995,453,897,216,703,131,182,212,831,667,389,946,270,184,878,778,
324,777,567,264,604,353,838,779,011,316,507,948,556,263,601,405,001,898,905,
942,252,808,413,074,981,165,342,422,983,531,372,953,243,943,534,624,421,169,
600,688,507,684,834,485,231,452,196,258,160,573,931,026,116,013,758,829,277,
837,667,163,724,837,645,533,576,428,333,676,628,189,485,097,558,879,210,989,
325,698,616,178,185,772,830,258,107,875,953,940,200,313,594,940,623,416,249,
754,299,822,583,030,542,686,819,863,786,664,479,658,020,662,189,481,159,622,
882,134,674,840,974,758,436,322,123,636,748,681,733,668,170,286,150,551,024,
092,062,748,930,050,244,995,841,696,064,052,448,948,059,666,127,979,985,474,
651,004,735,444,994,327,887,778,692,096,890,926,067,623,390,133,281,278,987,
534,055,589,838,319,446,221,016,531,097,771,213,322,703,455,151,438,543,168,
191,705,801,427,264,139,339,345,881,626,906,874,716,604,340,892,830,015,435,
160,970,832,389,279,721,929,033,711,404,046,251,570,076,342,876,281,710,422,
293,646,587,262,363,185,833,850,148,995,627,704,236,205,264,234,479,499,300,
787,920,113,098,294,160,388,143,279,322,828,082,486,237,264,278,463,108,433,
753,370,407,576,392,759,302,835,833,546,852,155,639,729,977,902,321,683,447,
662,809,328,383,675,287,150,518,773,871,657,264,723,303,832,706,304,951,583,
923,762,875,282,152,596,469,139,774,328,464,526,057,957,063,961,684,862,151,
388,313,877,161,964,067,708,678,624,208,688,613,647,243,404,479,960,683,252,
559,058,236,651,862,299,208,409,152,230,219,515,601,708,968,253,243,707,435,
789,172,943,738,424,403,573,693,324,464,268,732,400,755,246,304,955,152,014,
370,706,763,575,588,520,287,142,022,379,147,140,608,343,178,941,810,307,140,
816,988,904,818,620,684,604,648,608,626,440,243,303,081,085,236,534,183,028,
969,201,497,470,460,515,653,607,277,548,916,522,162,239,791,733,238,021,746,
720,595,475,055,545,278,679,043,153,816,112,260,128,548,993,341,990,125,456,
339,184,713,168,558,563,913,629,378,647,765,045,574,338,596,809,761,982,378,
025,887,132,539,819,187,783,781,127,873,164,188,184,249,060,347,838,802,745,
743,394,010,649,510,199,118,034,415,144,614,942,617,770,220,250,678,405,990,
549,032,225,997,730,960,698,757,022,417,784,464,522,526,520,982,310,823,786,
610,039,550,484,023,220,302,098,210,099,293,614,001,467,114,094,335,361,626,
128,304,415,271,564,763,948,360,195,151,644,053,587,886,999,833,978,147,208,
919,241,220,319,722,206,224,329,034,596,738,352,460,110,418,107,978,133,397,
674,743,960,723,979,679,090,792,528,031,277,729,766,686,759,026,070,857,549,
356,389,486,965,830,542,735,412,998,870,749,614,122,381,536,385,877,114,024,
130,102,157,756,157,258,557,054,983,911,024,521,260,875,813,129,148,441,621,
434,042,140,208,517,282,036,056,480,721,917,199,352,582,434,387,715,474,864,
395,692,002,631,384,901,362,771,249,846,841,836,146,851,858,298,255,176,057,
041,219,272,609,041,092,633,070,473,157,185,326,869,425,090,565,159,778,993,
968,484,336,976,916,907,363,100,492,517,076,156,287,021,719,803,424,875,047,
995,461,425,855,178,114,511,487,230,207,364,935,077,864,150,660,527,742,108,
031,335,314,381,122,910,020,235,710,582,306,394,000,074,573,105,735,590,497,
625,953,113,450,311,069,388,104,181,373,121,605,232,814,716,157,024,484,346,
821,968,349,614,691,518,866,626,580,472,094,760,811,869,154,513,196,912,828,
013,299,008,274,008,196,097,924,522,721,432,254,788,078,291,107,732,964,810,
598,718,192,874,566,434,405,876,044,986,668,311,137,801,004,450,002,538,115,
490,101,672,384,931,461,583,931,505,775,458,594,176,661,321,645,009,441,484,
171,506,685,407,368,980,150,583,111,833,721,689,070,203,229,783,940,281,833,
981,696,492,826,338,697,936,779,496,015,394,481,418,645,310,099,424,285,644,
555,944,129,365,280,133,181,984,660,146,578,431,201,922,492,440,741,610,899,
794,206,495,027,190,372,671,822,342,636,235,797,270,192,543,532,465,555,672,
277,612,234,728,342,447,128,109,933,199,218,253,830,646,923,588,219,763,458,
602,517,092,900,359,213,758,983,080,032,682,306,125,975,336,344,913,357,507,
894,882,898,915,147,155,952,917,591,559,592,856,801,404,895,061,709,734,509,
408,251,662,800,692,977,982,185,677,141,998,941,332,130,244,090,991,850,804,
382,027,161,125,812,892,329,595,283,256,514,104,662,842,673,264,985,611,222,
665,020,448,541,267,941,432,816,011,253,582,541,820,506,499,771,699,888,337,
721,046,663,879,962,528,508,374,966,312,221,075,206,769,473,810,156,673,372,
276,712,494,335,661,595,980,801,906,189,168,688,979,000,626,205,346,079,817,
082,875,526,940,862,966,150,859,396,950,672,919,660,827,096,083,384,677,656,
665,676,889,092,296,637,461,799,440,566,192,929,571,616,680,446,748,587,959,
888,742,201,292,446,363,692,085,911,934,316,282,226,978,648,040,321,465,922,
699,514,925,878,262,767,933,749,181,384,823,596,931,621,986,850,712,665,213,
362,967,186,639,641,224,240,387,586,226,421,675,298,294,580,617,586,685,155,
364,307,026,374,479,652,119,268,385,310,647,437,319,328,105,358,736,220,231,
082,638,528,667,489,572,952,966,417,575,091,577,069,539,522,074,377,187,415,
227,431,425,048,428,144,987,570,588,602,061,529,794,062,944,188,111,472,493,
513,736,639,215,893,320,158,173,325,710,254,912,418,543,977,625,382,687,962,
066,514,607,709,795,989,559,790,428,390,680,259,988,614,555,299,461,128,492,
486,536,358,589,150,407,599,411,508,755,696,849,171,957,861,313,199,830,859,
272,182,696,881,686,355,586,345,439,504,853,505,309,001,839,886,883,512,636,
393,071,998,097,553,446,217,646,639,867,362,916,518,209,069,218,055,205,395,
242,227,923,234,031,604,556,650,851,908,095,917,384,795,709,168,978,876,487,
017,677,286,388,820,481,303,203,184,313,647,857,348,618,103,784,621,224,444,
317,643,186,759,493,297,648,916,444,848,965,820,410,497,495,229,849,903,670,
635,025,065,042,737,531,898,678,733,996,433,044,984,259,172,893,098,105,680,
340,858,020,098,723,063,156,787,231,128,521,608,667,098,638,794,477,154,911,
130,918,986,183,100,272,294,918,328,997,840,433,512,130,007,946,509,864,854,
826,453,023,311,268,232,450,423,693,091,192,055,191,652,607,514,815,907,098,
109,388,670,901,773,579,710,139,801,765,813,930,646,914,749,914,050,675,711,
503,544,051,697,887,238,615,210,828,655,376,018,288,935,396,448,957,702,042,
435,599,857,802,059,081,356,838,248,568,776,781,386,413,937,039,486,912,689,
831,328,195,436,513,720,136,370,379,802,976,009,975,868,398,193,643,798,804,
198,905,074,045,271,374,934,698,797,484,474,262,420,966,774,389,939,253,957,
515,654,206,878,109,131,258,174,142,544,100,827,067,725,829,556,924,885,805,
182,940,459,833,157,087,534,733,642,637,978,984,367,969,199,870,324,482,939,
909,481,021,770,053,366,647,046,003,123,735,062,992,334,560,707,484,499,695,
634,369,018,772,290,406,282,253,048,629,820,118,309,868,426,237,207,592,571,
514,547,362,914,354,360,114,334,849,639,991,116,212,840,632,570,035,163,903,
447,958,623,511,260,195,983,461,729,292,731,292,895,644,369,916,005,926,796,
801,244,288,390,418,949,605,896,103,320,231,605,534,776,409,079,121,912,995,
040,936,805,393,609,330,002,106,031,006,382,180,095,732,325,882,703,869,778,
950,643,420,991,393,454,739,629,415,524,728,336,699,411,521,074,786,642,532,
146,371,439,505,771,477,307,378,827,534,975,181,736,610,144,562,266,556,436,
557,680,391,279,419,761,512,285,355,064,223,184,497,254,971,441,985,428,832,
858,730,547,242,012,626,443,292,499,195,938,424,250,903,442,397,395,805,527,
664,568,721,513,429,284,327,263,703,329,215,113,754,932,449,333,247,229,433,
007,652,053,286,164,480,514,182,097,232,528,910,651,181,827,627,580,198,523,
767,138,656,157,571,345,213,695,987,137,428,160,022,169,297,982,869,904,424,
834,711,013,328,548,569,092,537,117,445,054,567,807,598,190,483,798,088,366,
976,354,839,188,214,852,155,000,610,051,123,074,204,923,757,127,879,646,974,
719,696,323,871,528,331,548,060,225,062,289,442,314,326,261,191,766,517,902,
159,840,322,671,395,192,870,407,344,774,197,931,781,517,586,700,706,016,658,
475,675,731,997,875,902,779,005,446,913,747,157,688,462,051,152,388,442,216,
986,306,455,737,735,609,604,848,376,963,049,272,593,582,292,884,841,264,536,
616,718,697,589,537,065,415,092,399,317,478,826,893,476,969,207,299,719,985,
809,692,336,125,961,505,495,396,522,563,458,065,215,947,026,744,470,737,546,
686,521,387,059,503,224,094,199,870,602,935,224,045,725,957,374,759,562,535,
496,280,125,622,685,369,239,530,150,968,177,060,506,710,719,026,319,873,470,
417,868,903,646,355,564,885,579,972,567,752,930,809,365,822,672,819,103,498,
347,124,264,925,207,795,633,880,788,937,786,033,525,141,642,668,630,414,179,
614,896,842,751,585,142,542,438,357,209,027,554,355,147,288,926,761,622,149,
784,028,181,624,420,608,763,557,666,879,715,601,486,503,806,743,303,250,003,
102,218,807,386,492,813,968,899,840,059,351,068,257,853,412,331,758,680,410,
235,417,272,907,879,256,750,921,549,300,321,716,863,026,649,099,247,100,651,
311,882,010,915,641,347,926,378,914,295,357,358,663,872,733,939,497,349,821,
859,158,366,942,044,176,276,992,651,994,668,045,454,875,864,754,979,098,874,
736,628,304,834,516,972,681,180,169,601,194,132,414,372,995,820,450,328,575,
373,962,324,292,614,292,418,899,569,550,666,222,957,922,910,212,580,162,358,
749,980,640,645,985,291,204,716,567,709,402,387,192,845,472,547,184,780,505,
750,115,094,759,347,338,725,626,731,417,123,392,961,735,561,107,430,206,029,
531,303,579,759,541,880,160,650,323,815,171,140,360,161,308,555,182,554,300,
488,812,701,324,752,217,999,194,044,412,069,150,928,507,934,609,154,140,777,
573,102,104,633,561,460,329,188,223,738,296,464,187,659,815,527,764,993,237,
464,379,074,385,084,472,942,869,532,628,393,006,156,943,586,706,041,740,091,
608,805,316,478,488,917,245,718,533,786,513,997,349,007,575,072,083,007,719,
900,827,992,567,850,833,043,240,653,344,305,035,279,113,535,434,090,785,739,
054,003,214,864,956,652,425,242,529,460,443,215,512,373,839,481,462,775,915,
533,178,336,124,076,270,287,448,933,685,585,153,653,458,408,706,272,470,519,
237,781,459,765,624,171,219,129,317,778,768,887,836,000,455,525,606,169,346,
241,092,721,346,138,789,242,731,886,806,215,976,856,920,264,455,111,830,508,
319,651,476,995,620,140,659,833,456,130,448,664,927,049,038,055,092,937,576,
101,175,034,996,087,439,876,684,769,946,938,261,229,951,878,156,711,543,440,
061,960,534,513,746,721,409,790,898,306,089,925,709,171,296,363,861,133,864,
181,211,921,711,953,356,359,301,523,604,150,036,005,466,598,030,004,003,557,
293,781,024,436,558,336,690,882,238,125,973,126,082,104,555,816,631,406,988,
704,464,020,529,862,933,182,510,676,479,052,051,315,394,624,318,434,351,979,
483,156,638,528,191,591,111,264,096,299,122,760,094,135,684,831,950,374,856,
297,214,831,741,164,645,748,611,664,291,010,804,603,792,912,305,623,187,991,
910,146,547,731,806,615,253,703,478,631,720,170,577,987,559,220,365,070,424,
744,985,401,729,454,745,938,320,845,031,186,484,253,165,363,069,060,960,516,
038,757,538,262,800,292,485,303,339,620,732,805,493,120,324,710,530,417,156,
380,322,798,155,105,429,360,660,040,376,165,964,123,372,446,013,083,963,156,
368,850,290,863,954,251,051,866,340,180,683,982,339,549,415,255,114,881,107,
723,037,432,653,965,724,110,838,129,059,546,021,286,909,555,895,807,528,837,
559,756,985,283,588,517,580,163,094,445,545,656,503,257,406,975,681,642,272,
676,129,867,125,476,539,467,677,213,073,732,959,714,284,506,224,435,184,551,
229,160,676,566,603,077,001,411,798,372,669,646,038,615,793,384,330,474,391,
905,092,386,162,184,386,911,206,615,605,605,497,476,164,749,607,217,860,041,
402,237,264,655,560,654,016,558,251,602,833,453,774,445,204,613,881,199,368,
804,345,220,043,299,272,826,713,794,953,632,198,719,936,578,396,957,189,103,
612,998,672,485,304,813,641,543,965,561,441,562,076,871,091,311,335,432,432,
399,683,272,681,049,037,111,125,130,693,519,493,481,967,845,218,256,586,879,
246,090,102,880,241,440,980,804,929,653,707,957,049,570,877,705,206,849,877,
735,502,437,810,080,934,979,952,890,670,122,498,120,743,471,202,684,247,337,
433,320,334,137,689,703,372,537,166,733,221,775,408,975,085,486,317,371,447,
844,661,952,553,986,422,124,566,275,476,692,954,271,048,581,654,589,681,062,
140,272,925,792,577,808,105,968,544,024,106,617,799,674,753,742,983,546,768,
707,600,984,905,861,342,367,331,869,393,608,491,995,138,666,236,924,739,811,
526,738,487,481,156,964,143,968,519,555,897,419,974,474,137,824,857,500,209,
275,530,604,848,577,854,443,178,167,329,880,928,709,571,419,476,082,218,821,
536,502,258,257,677,313,528,951,143,100,073,653,615,163,120,204,070,079,520,
291,839,954,033,820,938,146,431,342,411,139,870,675,033,202,776,248,645,304,
731,883,847,464,907,101,733,383,640,403,236,704,214,253,725,926,025,135,366,
241,843,896,075,231,136,846,485,112,469,383,407,663,547,288,535,306,680,744,
963,478,035,702,751,658,304,520,736,527,290,425,854,595,104,604,065,898,881,
771,722,395,401,480,380,001,111,331,748,598,390,512,527,051,337,430,294,350,
416,174,064,142,935,243,469,603,495,893,298,627,083,519,569,368,140,093,343,
249,320,313,473,661,222,239,108,391,229,537,077,571,020,673,159,894,501,663,
872,982,294,905,492,137,068,174,100,281,763,337,500,916,027,705,899,313,036,
746,916,235,853,609,546,198,075,092,956,316,992,718,516,649,242,532,718,213,
613,440,203,054,546,022,169,850,105,836,284,651,898,151,763,407,360,179,510,
955,030,395,497,623,242,334,484,354,164,306,352,842,198,410,970,549,025,140,
493,319,646,397,179,591,561,730,561,745,466,944,254,825,103,140,515,978,880,
049,248,022,993,177,647,208,236,624,421,174,005,167,840,308,594,358,653,751,
246,408,326,380,742,165,767,689,903,479,524,933,885,819,782,466,497,227,124,
248,664,909,363,021,341,072,528,738,273,781,234,293,333,307,477,290,223,266,
463,019,297,238,900,407,681,077,361,016,991,662,762,098,605,395,748,635,274,
401,891,520,706,905,364,330,492,612,426,427,854,285,920,600,387,535,846,584,
277,223,823,000,008,527,905,839,368,675,684,984,060,616,054,858,009,107,982,
960,532,980,770,631,100,429,883,349,374,096,422,673,082,071,030,724,350,630,
240,316,743,270,977,768,200,590,734,771,253,706,225,191,279,907,889,975,201,
466,334,436,173,969,862,911,208,419,053,549,386,942,320,632,103,693,592,368,
746,783,624,029,536,192,964,946,037,012,650,705,803,749,066,850,724,292,173,
232,752,684,288,237,378,145,098,623,022,040,298,439,461,737,561,121,823,143,
516,902,647,517,031,913,465,235,251,522,560,688,229,573,627,808,176,773,758,
085,217,212,250,165,152,481,778,837,929,814,403,156,523,653,744,560,928,413,
343,836,051,984,705,206,388,552,896,512,498,582,659,727,812,360,625,374,535,
213,387,404,289,276,632,117,777,865,815,041,498,514,587,369,492,156,900,555,
250,041,872,037,721,809,704,396,790,479,886,030,000,001,829,654,488,949,839,
352,471,597,783,300,814,786,824,761,137,393,144,955,461,577,251,195,652,861,
597,077,820,647,833,362,708,888,456,304,926,144,374,423,928,873,942,480,801,
379,983,443,109,621,429,474,037,275,764,291,105,090,741,931,242,927,727,808,
626,432,242,861,016,079,653,467,813,244,391,599,907,656,736,139,095,343,100,
361,657,330,421,416,716,887,386,690,314,653,289,234,687,639,737,121,905,314,
826,298,038,279,449,914,208,759,943,923,709,394,718,354,326,876,788,835,943,
674,480,523,424,798,240,523,213,631,006,750,785,175,956,661,655,555,717,197,
677,955,644,244,113,363,917,520,406,894,660,769,206,614,546,962,754,239,607,
320,979,554,126,668,958,687,782,120,530,855,762,291,824,309,660,269,023,758,
814,343,160,725,117,406,377,203,445,450,553,729,116,555,312,091,242,704,290,
071,610,378,356,576,499,581,995,947,615,990,137,053,303,797,689,096,805,748,
794,638,519,313,465,350,820,270,417,939,084,491,981,903,124,612,448,612,919,
435,214,176,185,247,017,890,876,724,035,357,985,687,507,632,877,333,088,947,
308,171,384,618,986,205,612,785,611,880,927,530,613,472,851,167,781,925,912,
285,153,578,657,197,739,994,182,044,986,930,570,976,285,269,320,010,206,990,
559,250,755,143,839,450,656,080,039,963,605,062,909,124,899,833,497,446,297,
418,006,658,401,368,260,371,203,392,583,622,320,571,317,757,549,343,408,607,
090,646,255,477,069,673,120,072,232,575,006,391,059,273,707,159,582,573,844,
490,775,479,998,981,095,662,533,190,277,140,323,488,848,596,351,133,156,689,
887,714,001,121,772,551,511,683,167,605,915,795,865,061,659,663,852,540,136,
515,596,855,313,057,046,888,152,913,101,490,260,775,017,490,145,292,117,512,
228,108,878,639,039,811,331,380,407,752,928,842,822,030,052,105,829,118,944,
153,385,385,055,036,972,193,139,682,025,936,082,108,660,940,609,574,950,641,
313,755,848,592,007,506,872,986,324,163,438,934,605,735,112,968,330,427,287,
216,691,716,657,451,479,174,902,081,816,357,917,683,502,288,208,122,823,373,
232,794,681,408,550,454,628,771,491,136,456,803,039,555,606,000,958,494,395,
517,392,301,477,941,450,983,751,225,675,864,949,881,677,939,825,569,242,107,
467,386,034,223,001,771,525,128,592,055,184,286,439,262,598,045,346,598,536,
249,226,272,835,462,938,673,481,879,038,699,161,368,200,443,457,958,465,087,
151,948,261,182,742,416,516,502,059,524,872,668,362,037,911,278,690,133,615,
967,119,676,416,319,359,850,912,450,853,493,820,842,988,469,703,974,955,683,
844,627,381,384,530,109,561,615,732,565,819,123,353,686,940,932,452,935,279,
109,950,678,051,685,807,013,095,471,884,081,810,926,323,284,833,781,104,869,
445,526,776,947,715,726,960,829,961,928,301,996,745,372,229,834,473,459,262,
358,766,968,280,357,912,517,459,411,701,208,803,715,481,044,471,887,277,730,
246,454,157,901,418,436,378,030,689,878,376,845,259,339,874,605,081,371,537,
281,190,426,465,401,893,026,940,562,719,575,752,398,085,803,340,524,963,923,
971,488,316,796,093,099,253,168,619,245,695,254,632,976,814,910,693,263,950,
694,444,134,695,155,802,489,691,594,696,352,959,641,897,316,718,628,278,232,
274,523,997,421,483,530,070,128,564,754,772,009,866,597,232,243,314,125,893,
012,730,474,228,179,749,403,913,303,407,470,295,673,948,357,516,258,178,375,
666,067,035,931,334,178,888,449,200,029,639,426,883,194,023,923,991,474,030,
112,632,373,127,761,778,375,171,018,918,604,030,048,515,254,510,716,271,836,
040,804,795,910,375,845,579,443,616,722,538,086,777,461,464,968,042,884,029,
545,984,709,919,686,254,516,258,167,376,104,730,650,130,122,990,014,176,182,
570,064,890,279,428,958,858,848,514,984,837,517,566,350,588,455,968,882,045,
528,256,921,059,928,838,916,759,264,587,135,281,086,138,175,113,013,120,963,
219,682,084,873,484,352,086,978,073,571,689,186,396,194,840,385,363,541,086,
533,956,223,356,176,112,484,126,908,776,645,355,365,939,019,661,124,042,631,
898,245,400,396,097,058,935,577,171,948,657,256,728,908,406,887,729,100,862,
692,160,540,211,647,112,133,338,140,433,290,819,999,049,201,829,475,533,679,
981,466,024,123,397,254,208,765,395,475,496,958,987,001,379,205,109,825,475,
496,291,201,641,697,102,902,533,541,904,059,727,117,714,727,945,697,850,289,
206,240,673,205,289,656,586,951,894,866,858,236,745,103,564,826,450,102,593,
971,405,601,490,788,524,450,298,704,012,829,853,958,849,507,458,609,257,505,
319,370,606,469,035,541,721,749,418,799,067,101,390,745,294,007,336,004,171,
300,105,087,447,273,535,682,763,716,104,684,246,625,417,727,119,222,727,391,
918,094,649,869,908,990,507,180,706,616,777,779,428,625,779,100,380,035,439,
370,809,725,614,254,176,800,033,328,145,548,756,290,645,088,579,250,931,875,
585,839,534,082,976,416,946,014,126,365,948,331,622,665,160,953,709,706,482,
456,225,134,087,217,697,336,407,200,919,980,460,041,389,570,245,968,516,265,
119,547,578,715,517,584,868,315,047,720,808,884,665,514,985,066,898,617,719,
455,521,832,746,712,367,738,544,981,527,417,013,272,135,955,351,893,824,890,
922,094,092,929,656,062,646,072,838,300,199,448,470,221,956,266,132,148,606,
918,359,762,943,528,081,370,425,532,245,770,742,520,927,803,350,209,402,466,
209,372,742,400,213,064,043,120,507,052,686,772,128,394,138,662,880,775,642,
161,818,660,185,925,912,035,310,406,333,575,718,673,274,856,977,213,231,222,
091,574,885,736,222,264,685,085,702,082,257,978,545,231,268,870,211,564,756,
385,194,750,469,329,975,912,788,117,414,267,524,614,954,350,410,805,777,804,
722,042,787,716,603,117,875,084,905,777,911,075,947,968,896,480,179,982,848,
590,697,199,382,902,347,818,404,946,237,410,746,344,690,241,979,306,113,606,
294,717,911,772,471,180,718,832,029,700,601,313,583,109,640,140,739,004,192,
066,748,924,785,820,973,376,721,279,274,181,013,251,435,092,944,215,431,842,
700,564,147,221,893,586,556,853,840,292,856,398,618,357,750,862,871,095,155,
783,971,868,383,545,870,041,046,390,278,927,655,469,682,549,702,036,754,826,
407,453,472,438,763,399,658,361,371,757,937,743,408,875,342,725,740,742,161,
668,034,642,588,870,747,295,406,145,412,909,152,344,866,195,618,368,594,422,
170,805,152,701,175,809,276,602,777,209,919,580,906,561,574,015,067,918,878,
601,795,068,477,886,956,947,665,353,167,390,132,763,430,077,260,021,323,410,
421,766,677,011,613,386,008,411,407,824,248,942,995,787,975,048,899,821,020,
487,650,167,510,476,001,802,986,355,326,112,013,157,638,653,469,524,297,226,
415,492,349,411,169,212,055,873,086,938,197,701,970,467,752,079,710,469,329,
470,750,637,844,603,583,560,971,831,503,738,762,352,154,490,767,738,398,758,
733,126,346,185,048,544,532,063,217,349,335,680,593,835,885,826,592,633,494,
816,360,723,155,046,821,518,957,909,650,662,150,070,276,406,249,785,387,470,
250,843,168,756,738,202,829,409,313,318,738,363,468,293,072,602,722,395,692,
706,071,265,218,459,713,672,602,339,817,948,096,133,898,383,417,268,311,276,
659,776,361,247,486,827,632,275,859,247,795,453,904,831,136,540,084,917,648,
065,887,797,257,617,853,572,724,872,094,234,563,830,392,412,720,917,016,126,
754,342,060,543,025,842,942,539,538,372,328,886,028,055,685,591,179,315,775,
360,719,353,000,217,726,693,852,575,112,851,647,049,590,727,094,044,881,297,
790,665,125,838,197,072,335,888,498,605,452,364,783,254,218,460,567,730,621,
976,493,477,499,209,191,788,056,348,459,698,516,662,930,033,712,697,882,780,
887,997,103,733,442,050,959,624,267,744,274,521,077,443,972,786,409,033,825,
100,817,521,207,274,833,735,239,641,208,138,679,025,226,547,141,786,187,259,
969,078,672,333,109,332,911,626,856,394,127,786,226,600,932,204,232,008,039,
167,829,619,894,369,353,518,357,546,864,056,590,322,640,632,289,001,714,603,
224,356,152,002,766,667,509,883,196,218,045,757,170,104,227,881,995,374,199,
269,572,031,006,354,082,197,690,945,231,126,641,777,052,823,815,973,326,722,
714,871,888,141,521,777,222,021,350,523,847,223,590,692,440,333,197,720,724,
176,775,976,589,588,120,962,686,027,679,619,259,246,224,067,110,418,180,390,
088,119,939,100,334,774,911,977,661,208,760,773,658,580,328,770,701,857,582,
688,472,511,798,722,795,956,620,226,155,355,326,021,328,068,590,925,419,047,
034,123,275,679,432,218,325,723,648,777,141,118,722,290,410,756,530,973,487,
055,127,265,629,542,716,362,447,183,005,765,561,767,426,316,979,520,009,923,
059,381,466,524,496,520,074,930,176,871,150,227,676,018,675,871,474,369,772,
265,527,494,540,408,623,767,942,605,165,726,881,484,111,208,478,646,306,165,
434,869,303,831,074,778,071,219,917,129,688,797,350,310,433,670,826,572,854,
290,178,411,356,926,588,672,436,556,187,099,383,969,465,271,667,504,295,993,
299,774,675,422,719,252,748,865,696,970,527,883,436,947,224,005,222,692,483,
434,635,614,226,245,902,111,834,113,133,721,558,231,469,643,784,211,878,118,
028,821,032,163,946,305,492,236,904,958,076,528,257,755,435,803,120,265,001,
556,115,360,061,110,408,480,146,952,654,833,884,649,352,527,008,518,532,434,
362,770,135,250,792,550,104,983,557,841,627,073,060,569,602,746,265,028,965,
988,810,943,337,939,025,011,326,816,146,012,351,744,479,002,141,505,013,008,
924,825,074,325,927,235,662,551,461,954,367,097,252,725,258,663,183,216,674,
946,089,319,449,714,286,543,858,630,340,626,562,182,738,279,571,481,180,736,
239,969,730,965,034,770,986,001,171,887,270,935,570,181,400,183,505,819,746,
230,919,902,122,776,712,677,309,372,071,737,552,591,998,776,363,964,949,192,
867,212,564,661,685,781,351,715,405,956,429,181,458,125,644,923,965,449,981,
136,038,274,252,175,845,838,603,724,411,368,239,567,248,379,572,086,383,425,
787,033,023,680,082,515,015,236,207,915,286,541,171,265,757,664,291,636,826,
460,628,008,844,749,062,785,532,128,216,028,187,683,741,345,882,737,140,867,
136,876,305,613,628,330,107,974,783,574,332,978,136,489,437,018,036,922,382,
991,950,858,757,164,845,640,019,192,237,117,434,606,813,436,276,705,758,909,
191,248,827,576,195,166,545,382,921,342,246,252,837,177,595,496,687,142,577,
137,545,889,401,850,813,242,421,895,834,383,202,003,361,543,995,286,561,761,
263,569,681,875,696,858,558,791,249,422,648,032,648,865,253,313,183,161,913,
827,414,669,065,665,224,209,347,121,598,618,094,880,390,633,729,009,294,656,
998,352,271,432,708,273,872,940,673,597,534,575,100,330,921,982,850,327,851,
745,549,412,051,802,786,588,622,143,192,876,200,168,076,760,313,503,511,226,
258,203,499,726,206,059,186,346,723,161,694,658,470,916,196,051,692,936,287,
578,403,812,675,849,382,630,369,527,722,953,452,852,259,362,649,530,545,889,
175,134,013,333,038,800,628,378,651,406,721,661,433,139,571,264,379,199,451,
924,240,006,600,939,325,266,919,835,416,206,543,919,486,671,983,972,864,425,
661,935,094,444,851,521,278,421,098,164,839,609,887,142,961,538,531,967,960,
192,694,519,856,975,005,409,440,806,327,470,977,968,844,880,776,627,766,806,
240,557,106,212,655,470,728,647,511,396,176,748,012,250,053,928,956,271,763,
168,705,925,058,292,826,957,264,631,323,973,468,319,147,153,312,908,420,287,
036,998,065,946,499,465,331,661,680,930,762,395,128,703,030,478,408,548,305,
819,517,715,754,220,368,534,172,329,886,170,509,105,923,237,206,971,884,983,
643,436,431,050,912,839,503,561,290,690,600,647,176,932,703,190,114,012,278,
729,984,698,242,208,416,283,085,763,794,284,793,696,365,194,600,591,531,277,
773,949,565,509,439,392,243,091,031,508,573,390,253,350,122,664,010,222,771,
525,060,465,386,141,038,084,633,517,516,670,451,568,858,695,872,887,820,057,
610,248,898,921,405,149,404,763,508,554,442,607,522,576,908,099,264,017,964,
906,260,983,638,427,990,227,377,114,174,384,403,352,426,871,355,326,518,173,
977,853,358,965,148,013,835,962,533,188,886,750,935,581,730,926,650,304,682,
385,851,026,007,052,888,124,969,584,966,257,654,209,806,022,986,955,278,064,
955,768,075,471,984,164,698,554,638,765,829,923,579,011,533,615,910,177,396,
662,163,888,691,252,690,696,919,175,834,036,970,814,343,099,025,229,653,469,
738,921,748,551,423,703,313,114,534,720,694,152,402,244,676,688,904,733,165,
507,697,914,736,464,113,236,536,543,579,630,824,091,879,171,040,329,014,517,
604,022,221,039,044,531,948,028,980,295,398,236,393,349,399,617,770,173,380,
117,478,430,644,648,360,622,044,013,829,473,078,188,466,270,423,487,358,512,
633,094,447,178,234,637,837,396,053,393,350,968,962,652,745,786,441,506,685,
339,514,941,340,710,842,390,577,144,913,859,932,898,123,605,563,463,883,051,
051,561,900,879,434,864,376,233,745,035,764,040,521,225,133,564,063,168,496,
333,641,809,821,300,206,773,792,653,885,494,264,397,090,994,373,967,994,967,
330,046,674,290,977,592,317,496,576,375,278,944,222,945,478,960,386,508,978,
859,280,131,332,836,318,283,412,089,469,771,859,585,341,395,627,938,100,139,
898,401,526,929,117,713,205,499,843,554,118,865,341,058,967,482,962,894,051,
157,812,570,428,791,060,043,531,650,139,984,873,378,384,686,907,700,985,070,
545,045,160,979,085,863,065,249,548,316,650,579,718,345,434,776,214,643,303,
708,078,905,853,931,045,239,318,462,709,108,870,237,430,525,056,180,499,477,
917,129,431,458,159,551,878,978,955,126,814,695,485,386,466,780,166,185,209,
748,913,478,210,743,530,905,811,141,519,099,440,532,857,785,393,184,724,403,
807,465,893,129,690,968,690,734,323,928,095,874,270,974,902,335,707,966,188,
703,127,174,237,298,562,553,859,769,856,950,713,534,083,718,997,275,118,524,
710,520,977,615,874,232,933,954,674,894,879,407,743,044,313,140,034,513,289,
735,436,545,455,455,711,170,926,015,748,596,317,656,551,055,886,786,590,987,
492,848,179,555,123,604,531,143,494,661,591,668,413,982,596,224,198,166,472,
708,615,159,162,616,188,614,938,837,442,133,222,302,157,606,903,672,810,347,
568,380,725,914,686,211,143,813,994,051,780,185,563,012,579,673,684,567,265,
157,050,622,746,611,329,150,119,786,168,884,250,276,845,384,486,577,542,231,
517,974,545,056,735,493,154,397,216,613,369,658,309,180,536,225,560,595,499,
875,761,465,194,707,553,360,224,273,809,687,154,982,412,151,145,589,787,606,
832,973,962,409,644,094,358,774,945,406,417,905,354,450,389,948,126,864,209,
243,642,033,146,993,642,654,708,671,985,857,347,975,468,448,056,960,202,926,
028,009,914,578,659,065,197,948,952,424,964,709,860,279,073,293,410,085,854,
337,291,908,019,780,183,134,737,245,364,019,483,380,316,872,901,728,055,996,
145,209,982,462,753,180,222,345,245,223,782,083,787,617,077,007,493,791,280,
115,906,508,711,084,471,218,593,145,019,390,501,087,801,367,002,487,730,359,
285,963,022,985,790,609,156,095,374,695,721,643,162,459,707,472,139,433,776,
657,600,299,597,382,719,726,682,383,213,078,705,638,930,791,576,657,002,921,
236,248,090,434,122,119,266,656,097,225,116,658,593,193,084,170,593,914,243,
965,906,656,822,547,122,084,141,765,593,679,102,768,984,759,040,243,702,574,
733,039,052,349,428,090,994,330,899,178,724,327,678,917,321,681,852,510,148,
141,574,324,222,005,084,791,680,488,228,440,364,703,323,072,585,953,651,068,
322,111,975,452,144,652,662,901,040,718,886,852,982,574,408,457,181,803,478,
206,031,940,070,474,831,819,936,789,127,567,145,217,453,607,815,138,710,553,
714,757,457,825,545,010,729,507,584,075,030,918,813,572,321,393,435,962,506,
025,802,386,529,498,470,058,731,588,772,312,783,279,772,455,472,705,584,180,
655,041,381,671,853,183,453,280,258,685,014,430,106,802,025,821,950,284,486,
515,067,705,261,579,664,388,599,104,541,712,856,129,633,465,184,411,932,013,
006,401,168,899,868,711,034,477,023,302,738,377,059,985,429,182,445,884,916,
735,786,962,538,358,033,431,499,439,466,400,005,445,722,470,311,674,669,920,
342,192,893,824,342,492,922,682,675,047,686,565,820,696,677,278,107,187,690,
027,271,827,858,563,505,226,616,524,281,911,912,020,480,410,271,135,856,478,
254,026,483,927,778,542,787,490,274,977,620,655,005,267,498,401,604,531,980,
964,013,959,695,690,029,560,243,878,839,499,529,197,412,601,688,454,139,203,
946,064,345,544,559,817,114,572,787,720,815,320,025,983,046,774,160,476,011,
378,176,598,739,627,448,292,543,965,842,598,217,972,853,392,499,455,114,106,
087,233,120,855,628,179,607,532,165,631,437,374,983,533,671,886,320,913,449,
509,389,159,869,350,794,895,567,451,540,465,262,862,466,860,041,276,285,969,
704,558,620,679,105,173,236,194,440,696,257,978,725,973,522,172,244,370,438,
349,161,846,127,727,267,024,559,149,814,678,241,602,219,725,374,915,339,013,
329,400,272,360,469,362,493,015,049,005,427,753,146,952,950,337,511,961,095,
435,993,276,805,089,803,413,506,449,579,399,216,860,937,018,541,140,608,929,
511,955,020,554,524,819,156,288,795,023,169,707,903,531,002,568,103,655,630,
899,162,128,720,911,477,590,517,915,490,710,118,052,221,637,933,474,000,609,
230,006,884,291,199,747,101,216,001,187,922,554,667,700,711,975,628,403,700,
706,844,211,567,868,374,684,504,991,928,940,650,957,604,960,823,097,540,170,
023,672,333,194,885,131,777,782,387,367,778,369,864,991,699,877,200,780,204,
729,079,709,775,805,468,329,495,693,903,261,579,668,830,380,168,540,795,748,
700,256,459,422,080,706,397,547,043,303,742,342,002,147,851,795,907,876,796,
915,693,581,362,225,454,179,504,313,702,535,063,944,125,877,398,443,420,578,
406,937,213,579,315,840,873,424,013,262,588,390,942,219,781,128,557,075,749,
176,163,192,299,752,316,866,731,853,390,764,580,188,046,690,864,928,244,854,
682,488,902,857,218,717,832,257,786,430,595,323,237,289,207,419,683,885,478,
160,684,934,701,188,790,046,650,490,674,426,407,168,737,455,995,060,593,943,
791,750,398,260,753,363,796,221,560,858,888,802,089,547,157,013,428,955,539,
962,520,660,471,999,478,707,625,119,998,539,472,204,316,468,981,677,167,411,
250,426,798,969,318,745,640,125,505,044,828,408,272,514,812,248,039,151,435,
276,610,667,220,142,471,596,830,936,706,736,448,996,035,087,458,798,758,699,
912,454,561,383,057,963,747,027,223,375,026,789,995,309,448,650,681,356,178,
148,177,620,728,652,723,666,152,316,384,320,207,839,716,179,993,694,119,094,
975,915,656,149,918,374,190,836,658,426,952,836,283,978,032,950,936,114,456,
841,838,272,442,534,450,708,938,884,916,262,049,267,030,449,360,554,143,923,
386,974,835,410,922,869,650,867,423,833,951,430,629,252,776,492,955,219,379,
741,966,974,067,393,121,510,179,883,314,178,504,851,021,354,130,257,150,417,
880,535,187,109,714,512,114,453,166,172,495,979,360,992,895,652,534,046,307,
496,575,062,085,453,791,004,074,070,390,244,971,979,211,443,381,889,625,082,
026,385,520,352,814,262,628,573,065,247,217,259,785,759,391,328,235,368,943,
472,860,117,763,310,512,462,977,032,567,945,990,654,309,189,376,267,598,164,
641,007,378,639,326,746,166,853,257,571,703,920,963,577,908,371,558,038,003,
722,583,033,436,020,658,230,592,584,720,251,309,058,328,516,166,322,485,571,
583,403,323,998,606,198,261,521,468,730,713,621,585,042,115,852,140,471,095,
056,349,754,388,806,804,141,840,198,445,424,510,387,694,357,769,940,460,006,
148,465,907,542,225,360,462,520,258,110,275,429,892,853,992,679,181,285,592,
100,541,400,289,867,446,976,296,083,082,585,199,917,596,376,202,604,096,477,
050,664,659,078,621,812,872,602,025,027,590,512,131,262,975,354,239,393,205,
182,245,466,292,169,283,517,274,890,309,427,709,555,990,574,133,863,924,739,
416,895,308,158,875,291,122,241,921,227,890,350,851,688,971,750,701,223,075,
229,904,754,288,914,743,809,847,796,540,841,958,930,997,468,846,212,030,241,
773,683,254,888,629,129,113,264,968,085,776,687,442,539,859,637,435,726,972,
666,290,748,001,446,221,238,073,602,611,419,810,034,494,233,135,641,973,599,
674,145,666,575,693,871,284,677,503,739,758,544,757,566,676,631,774,421,181,
332,082,537,823,317,380,102,640,049,866,419,620,357,603,560,044,699,748,068,
963,549,486,968,170,940,354,985,156,126,117,807,781,999,590,124,345,539,448,
227,797,814,337,902,827,331,629,725,166,880,620,984,959,066,960,515,060,501,
044,210,007,166,876,311,857,374,120,497,231,613,421,603,208,626,131,820,097,
019,225,246,134,431,396,751,179,970,605,911,175,871,151,360,836,453,748,534,
001,506,493,421,980,691,060,814,346,486,532,169,958,572,660,370,037,725,032,
288,093,411,912,642,395,698,066,123,774,151,827,791,578,301,649,746,058,105,
644,065,305,171,005,569,920,138,329,309,320,787,353,545,081,069,828,963,151,
284,226,554,314,868,793,252,247,602,306,918,848,073,300,725,749,268,584,047,
491,774,557,673,440,098,899,935,308,012,134,331,331,096,016,445,887,170,377,
160,385,729,793,883,382,926,384,104,170,481,720,663,104,010,829,069,093,776,
568,886,014,325,560,756,768,211,669,276,898,794,216,874,481,626,127,617,526,
550,919,516,143,782,802,222,463,399,006,128,799,569,522,029,638,112,944,563,
621,041,341,293,762,612,066,703,393,684,408,639,203,989,372,257,728,935,746,
564,948,831,374,780,490,600,091,043,350,955,185,532,142,216,384,652,553,656,
294,817,221,578,059,294,068,323,332,589,884,876,558,664,165,610,989,820,746,
880,563,516,596,267,470,036,231,344,451,456,794,279,886,748,893,876,069,025,
385,185,896,778,585,284,146,137,935,254,191,864,052,352,410,378,027,675,384,
164,924,164,546,135,907,285,244,174,247,970,151,349,352,280,958,582,624,672,
473,531,770,186,094,510,942,412,144,885,898,380,844,218,573,478,978,656,534,
443,125,164,353,455,294,809,444,606,330,810,596,450,120,802,170,006,518,751,
246,242,482,921,419,982,383,371,969,526,295,911,491,855,796,796,217,468,730,
996,363,233,707,460,700,504,746,757,057,823,101,903,609,270,601,699,656,151,
427,761,509,400,161,830,324,701,932,583,840,428,002,563,778,809,794,456,287,
960,651,058,901,655,403,097,956,051,991,456,287,465,562,717,837,419,395,143,
704,719,409,184,975,007,627,905,131,954,839,997,080,273,325,116,225,001,476,
562,061,067,699,669,793,320,652,051,209,575,853,791,623,153,611,988,913,675,
592,959,384,395,052,174,181,691,705,413,750,304,789,852,055,302,808,620,964,
234,777,062,187,689,842,037,107,481,061,085,831,223,234,392,047,260,049,194,
147,434,950,674,728,122,701,464,811,827,466,507,429,910,501,405,596,556,601,
483,344,350,347,053,091,836,401,928,066,640,937,559,721,043,374,468,001,952,
769,785,846,792,465,272,624,092,149,461,086,665,690,074,924,480,737,275,200,
385,573,666,994,982,609,091,684,790,550,547,814,113,595,089,370,983,365,168,
376,650,284,325,319,411,446,042,652,425,754,576,482,262,450,930,126,633,776,
652,245,280,777,272,382,412,171,773,294,625,475,695,944,060,504,376,696,309,
540,040,442,261,106,787,272,714,711,075,678,492,912,016,472,182,602,509,406,
032,230,160,462,130,717,227,640,469,511,552,720,993,980,489,819,822,925,430,
236,471,688,332,870,377,906,830,420,685,751,339,350,452,098,098,390,644,493,
558,329,310,373,334,918,396,250,060,062,227,971,991,184,743,424,566,253,822,
334,300,887,096,531,036,218,620,933,003,301,114,082,065,736,343,832,120,873,
032,963,959,315,140,970,794,351,252,014,839,266,915,821,709,960,005,730,671,
756,864,286,958,742,118,789,305,245,708,922,488,932,030,771,348,917,604,969,
395,840,016,068,451,253,253,652,947,933,353,318,907,458,831,714,630,641,213,
429,014,568,859,979,298,018,433,062,984,911,181,836,128,398,893,685,140,174,
146,960,645,919,308,911,144,151,886,202,542,921,766,230,190,087,997,271,242,
814,461,767,792,089,684,032,298,883,141,294,240,819,383,367,441,339,011,062,
643,680,777,130,314,577,121,278,808,483,506,788,815,482,051,341,882,861,076,
145,371,922,102,227,128,784,002,905,390,791,987,584,548,857,054,984,086,009,
267,640,713,122,491,932,883,519,572,410,551,092,995,939,538,295,836,492,085,
612,544,096,987,121,931,018,116,025,598,693,773,953,054,693,389,895,682,988,
267,620,742,144,160,981,998,952,501,212,138,280,673,337,338,533,072,891,566,
861,094,985,983,319,144,388,218,400,631,744,536,037,548,039,905,150,203,813,
086,547,063,056,579,267,542,017,226,619,228,451,563,451,333,434,361,952,151,
017,294,924,871,277,855,614,326,038,880,808,262,206,150,387,537,290,279,548,
873,805,368,964,232,733,200,681,227,909,573,724,072,194,619,288,205,256,853,
201,329,180,350,576,810,964,021,541,273,184,631,226,839,289,443,616,459,690,
475,644,320,038,691,343,793,871,425,564,453,550,535,307,058,056,695,060,077,
681,278,364,944,891,296,122,815,350,369,913,334,523,764,897,418,009,000,326,
231,274,027,499,096,974,322,021,867,281,970,444,329,349,248,790,451,288,096,
846,015,955,496,838,491,613,117,601,262,118,570,898,038,168,087,473,692,294,
327,807,863,489,079,735,781,205,832,383,285,716,334,696,447,601,127,833,336,
447,253,181,314,524,983,642,221,986,475,865,469,886,428,857,411,381,812,456,
791,945,120,663,544,234,761,044,945,264,344,101,247,945,547,869,953,733,140,
302,801,418,302,666,960,809,607,528,015,940,283,044,299,846,239,802,015,342,
492,817,799,466,107,693,414,217,054,280,361,663,306,346,467,812,426,980,423,
359,263,446,275,864,398,173,856,681,305,823,762,453,668,135,238,808,002,275,
515,578,709,597,539,966,224,824,079,882,314,861,744,897,704,162,951,343,078,
885,722,286,252,745,201,703,192,422,693,588,691,465,351,658,933,525,561,338,
621,827,535,513,899,237,830,063,456,414,328,380,941,592,512,453,439,755,861,
548,009,062,590,820,583,836,343,960,354,571,303,265,223,388,648,928,584,953,
898,608,074,326,091,325,094,053,201,900,034,655,527,993,405,613,389,324,228,
618,338,766,205,399,042,802,590,188,277,706,349,992,210,344,144,313,038,422,
868,217,455,925,721,326,802,749,793,689,302,677,887,465,303,679,604,120,500,
415,492,681,193,559,617,155,693,136,327,231,330,955,461,474,264,980,144,531,
887,228,644,892,192,401,087,493,737,710,162,635,399,716,949,717,708,322,821,
673,461,704,094,338,380,243,718,858,973,290,101,065,566,990,466,967,057,109,
686,752,622,233,173,712,908,965,263,315,291,163,541,813,680,937,904,704,174,
425,433,203,065,553,874,055,027,469,174,006,774,758,452,262,730,550,313,499,
233,811,495,018,724,005,983,190,893,730,669,584,690,685,485,931,232,407,933,
355,886,069,586,026,221,994,817,930,824,915,845,403,831,716,582,273,117,433,
657,126,982,230,309,037,540,627,041,988,662,794,599,909,829,032,608,770,934,
074,791,374,775,541,127,240,209,738,833,781,843,993,209,773,261,583,607,370,
703,356,403,785,136,742,003,232,066,809,950,959,426,566,524,464,963,017,725,
675,093,949,974,790,467,711,616,841,268,969,109,320,096,882,304,777,173,836,
221,066,596,677,102,426,523,185,205,871,759,656,719,357,624,083,443,187,213,
681,269,490,209,837,501,009,856,293,149,090,552,950,218,195,705,507,490,187,
367,279,493,328,155,203,311,585,862,401,316,389,542,564,955,933,073,172,719,
268,593,228,717,771,252,793,493,610,110,055,756,688,625,683,888,088,593,516,
994,271,867,001,571,069,023,755,683,188,042,144,985,923,530,820,044,987,734,
660,057,783,401,884,954,591,671,653,706,810,344,908,032,735,704,702,450,434,
517,739,455,284,175,705,723,825,297,639,435,679,325,059,790,415,449,404,474,
501,013,418,489,040,955,432,632,136,234,509,603,523,010,549,353,326,624,100,
093,329,591,150,767,897,250,306,586,631,207,073,233,001,349,254,759,444,982,
038,450,701,487,063,437,278,135,083,747,993,432,693,530,685,873,740,350,018,
198,808,495,331,733,776,187,307,509,013,783,321,959,164,227,509,650,535,381,
930,576,327,036,408,970,101,059,442,576,959,851,456,724,342,371,705,360,706,
713,320,325,960,998,880,582,745,537,957,264,472,823,642,741,874,992,847,198,
150,361,096,143,348,149,563,559,249,444,575,401,401,276,926,879,507,564,487,
739,795,497,491,376,644,597,956,943,604,277,108,844,482,493,469,308,188,854,
570,657,156,825,442,031,001,144,077,407,016,451,917,200,094,045,976,498,681,
964,499,011,482,607,927,555,879,195,091,943,997,070,046,664,332,556,422,828,
122,196,915,848,070,269,427,930,558,692,772,367,843,632,176,013,267,264,391,
818,918,204,807,281,561,692,151,011,491,451,949,826,649,463,183,147,469,273,
796,018,050,253,154,095,903,126,641,943,224,417,891,895,725,060,596,115,346,
655,372,248,793,593,829,683,356,896,732,791,630,819,713,627,154,679,386,282,
988,313,673,830,199,103,081,190,562,071,095,301,706,432,730,123,395,157,813,
579,258,086,429,265,943,985,537,504,371,714,001,205,117,873,082,484,990,241,
888,336,727,760,341,244,544,171,768,581,385,460,180,268,992,066,893,381,860,
670,178,146,073,094,372,814,361,847,302,757,494,532,749,092,864,081,866,717,
238,167,265,552,095,838,457,167,534,607,601,239,414,851,082,549,371,087,886,
362,827,425,413,414,922,841,362,196,876,498,980,486,125,568,733,916,776,467,
254,527,951,482,749,782,782,784,430,104,861,713,191,603,164,239,554,694,020,
089,017,312,174,758,564,119,254,040,549,972,623,249,222,513,067,660,734,100,
145,185,415,545,708,227,039,484,133,711,429,752,935,444,099,313,225,369,559,
822,495,448,185,980,134,930,073,551,779,860,704,794,359,376,146,666,033,398,
605,008,200,769,565,198,258,771,580,418,822,571,382,637,124,110,208,165,093,
756,335,486,095,003,590,134,267,693,066,228,714,883,500,396,566,234,081,687,
662,813,629,720,898,130,853,419,591,570,582,187,261,371,953,259,263,807,549,
813,628,355,290,262,350,813,986,205,804,603,186,504,523,234,824,261,141,464,
295,188,478,171,704,021,162,847,966,638,629,428,547,248,323,420,707,526,557,
294,396,734,822,536,765,798,683,685,998,287,650,535,312,981,292,738,692,313,
290,912,669,222,737,852,847,725,998,435,042,843,595,901,427,668,282,811,151,
635,027,344,434,676,856,941,305,441,028,708,606,575,075,789,554,466,900,287,
961,050,318,593,446,501,937,591,112,201,105,114,527,898,011,463,555,228,181,
986,124,622,585,401,033,000,047,656,684,823,439,524,924,812,624,988,346,492,
861,722,830,084,028,516,497,939,454,110,511,301,775,396,279,204,404,139,590,
091,791,018,173,520,502,063,983,852,090,902,469,764,932,892,920,310,042,717,
254,092,888,925,673,600,289,825,225,307,142,208,251,642,992,395,335,667,148,
014,218,044,331,285,264,892,036,740,771,559,127,397,214,975,481,584,154,347,
339,174,930,799,729,880,609,755,329,276,405,867,452,796,413,789,822,102,971,
485,140,332,590,689,130,391,118,690,714,019,410,401,549,298,364,124,807,245,
566,088,903,405,589,181,107,663,416,928,291,052,809,846,407,860,931,191,936,
675,762,454,661,577,040,772,403,653,981,816,456,446,323,660,967,244,849,814,
021,306,945,566,493,622,305,328,487,942,490,995,552,419,529,283,480,783,816,
912,019,572,001,400,080,956,277,797,188,505,257,521,412,197,877,632,393,102,
929,087,796,923,506,640,153,228,877,272,058,098,116,605,924,833,805,778,344,
592,173,987,836,360,584,033,431,825,861,347,153,026,884,920,544,621,590,211,
438,792,952,208,208,171,135,722,332,030,529,652,949,688,809,477,059,146,209,
581,315,188,433,836,781,275,834,104,039,294,913,257,223,557,386,303,928,820,
227,663,011,504,398,208,283,732,435,280,501,981,327,291,948,267,274,205,768,
110,236,827,696,899,581,467,693,741,462,207,910,166,944,959,127,196,631,104,
603,521,220,078,452,805,968,903,978,275,095,038,505,498,974,817,769,938,968,
624,906,242,187,333,081,071,025,499,707,735,156,676,402,089,993,215,143,865,
781,926,584,874,265,763,001,931,966,062,130,741,654,455,867,105,620,911,786,
751,444,646,381,932,766,957,155,016,583,635,616,274,657,482,373,222,846,157,
647,390,250,230,190,344,496,994,455,380,706,308,224,870,878,835,347,565,303,
192,334,979,751,689,274,686,517,159,713,248,906,533,465,118,344,874,293,316,
522,624,214,547,004,641,153,212,617,519,086,883,224,178,627,065,432,546,393,
439,868,008,324,006,262,773,432,592,108,576,096,534,242,047,253,433,627,513,
768,508,206,029,131,775,342,575,641,129,037,000,298,076,187,878,759,110,082,
863,614,929,378,075,311,436,217,177,486,179,085,670,587,237,948,042,730,137,
860,327,479,866,245,195,269,867,031,380,079,137,445,682,410,948,083,871,092,
139,055,123,349,358,813,701,207,038,629,817,835,401,248,888,394,967,054,815,
750,534,005,977,566,528,371,581,734,423,618,784,836,852,513,544,999,529,785,
481,090,192,879,595,118,795,017,552,164,142,453,131,077,203,100,413,876,164,
409,451,959,151,816,442,772,367,076,402,572,876,878,672,966,177,191,266,722,
281,928,790,594,294,315,103,902,906,492,507,832,771,625,047,516,243,517,620,
406,748,529,242,564,357,202,202,101,043,004,065,325,786,893,092,694,573,296,
707,690,949,180,467,182,471,817,373,949,360,894,461,052,264,857,688,354,386,
877,407,939,800,209,824,026,899,904,126,797,408,617,702,005,629,477,117,188,
550,043,637,797,994,372,195,469,601,428,493,083,406,391,918,501,926,210,092,
371,129,089,638,116,344,139,314,391,495,461,027,938,891,242,081,100,604,787,
029,372,748,644,958,590,200,475,297,643,345,373,298,806,102,078,273,889,690,
217,832,838,247,274,233,428,895,092,408,595,043,728,796,066,534,008,698,882,
781,383,513,588,517,959,587,350,718,748,962,137,344,188,648,745,604,197,808,
166,725,764,307,167,315,336,104,096,877,794,608,580,225,822,488,773,835,962,
874,256,845,546,039,110,490,895,541,656,251,466,163,264,955,454,237,442,088,
347,344,710,970,915,392,853,018,979,010,216,309,806,669,901,720,660,804,897,
562,402,744,584,382,863,763,766,955,858,776,393,494,314,395,914,210,837,396,
862,253,684,796,227,342,439,317,800,819,519,210,514,684,303,135,280,691,637,
737,716,947,582,592,182,879,821,853,873,234,570,784,950,183,652,517,551,100,
012,215,888,362,106,254,926,087,906,332,673,027,329,555,134,588,174,659,840,
965,894,014,845,106,785,483,034,710,136,305,846,373,535,299,135,622,566,734,
326,094,326,944,355,718,434,271,282,758,626,482,976,231,940,810,644,192,528,
556,415,172,434,072,300,023,381,729,001,457,217,540,132,514,498,829,704,509,
161,225,065,512,575,112,926,630,578,601,985,420,747,631,878,209,493,835,869,
193,643,015,668,182,554,557,493,099,356,487,265,942,386,555,299,756,677,533,
693,564,578,174,568,466,519,937,342,515,302,536,187,072,663,401,240,411,394,
617,799,259,535,866,044,479,978,538,073,418,639,908,825,189,731,975,768,553,
661,717,392,657,707,675,726,020,137,227,368,959,186,052,500,220,536,102,781,
851,196,860,095,276,721,414,171,577,264,872,965,727,680,257,370,051,295,719,
737,995,318,749,018,882,239,950,746,935,581,918,914,597,352,575,527,432,384,
968,696,770,599,456,630,245,372,595,851,763,528,919,938,936,764,746,542,817,
330,604,627,900,293,509,736,841,511,425,624,684,222,188,852,586,769,456,590,
966,082,278,998,131,081,934,374,836,795,988,161,847,418,473,907,493,119,983,
255,635,166,850,802,844,473,290,567,002,922,639,140,350,410,628,382,562,126,
002,253,843,691,291,532,129,335,515,430,815,664,704,376,157,432,879,514,147,
989,972,215,123,026,418,074,341,487,194,719,390,585,691,594,269,224,777,414,
719,136,473,964,966,723,617,769,840,632,840,202,429,649,187,614,398,549,556,
769,491,928,988,811,027,493,417,860,182,785,685,082,500,314,024,426,975,646,
334,695,807,077,090,956,956,825,704,210,212,327,857,592,614,017,581,153,339,
415,648,316,771,169,008,505,837,570,580,276,079,493,560,124,635,231,482,326,
554,481,442,947,751,445,697,555,405,442,643,191,085,306,040,998,922,917,042,
264,900,503,992,494,051,995,232,374,048,932,268,589,368,034,528,343,219,172,
518,217,369,666,422,367,368,267,356,961,859,553,332,701,000,024,725,295,940,
034,868,852,625,634,323,078,250,066,487,058,262,267,677,756,880,335,612,416,
061,458,237,919,381,435,187,722,541,398,402,352,442,761,764,906,686,366,981,
785,311,067,269,329,477,252,724,684,099,829,893,339,699,309,970,707,350,891,
277,356,162,796,381,484,631,392,563,280,444,703,459,812,640,668,607,715,470,
677,053,753,410,553,767,339,162,311,633,734,641,631,564,497,792,420,233,128,
197,802,054,128,442,680,216,275,052,200,685,993,886,142,354,460,647,587,797,
975,756,492,081,492,531,050,232,499,669,673,892,492,129,010,187,449,765,097,
163,898,578,327,656,046,504,039,878,035,538,407,890,485,394,396,119,567,861,
136,835,623,576,388,292,194,980,424,527,348,030,775,563,787,495,011,045,236,
467,408,731,893,516,172,787,655,241,419,946,919,389,227,821,787,331,291,062,
886,810,158,186,388,986,877,779,216,746,743,762,871,040,157,123,546,798,653,
254,630,673,158,915,815,564,956,241,259,030,547,840,391,281,291,868,080,580,
578,610,406,927,676,829,115,344,285,598,283,892,426,428,131,334,222,876,484,
132,778,702,490,378,278,824,192,553,996,253,729,448,845,163,600,324,800,086,
748,486,176,323,225,846,361,575,637,080,357,504,658,745,927,558,227,060,794,
130,303,084,646,519,972,060,918,252,303,752,149,919,691,714,350,296,621,681,
981,233,924,441,972,067,483,356,835,759,128,424,242,992,709,702,720,802,749,
536,143,939,633,119,644,031,176,235,917,407,644,771,870,852,249,972,747,377,
923,649,100,930,053,418,547,730,143,293,288,326,083,611,763,669,039,075,769,
212,171,281,329,418,246,481,759,872,950,183,047,218,515,429,394,344,699,056,
259,212,236,439,483,316,135,044,593,852,925,011,369,238,228,018,573,086,927,
559,084,207,941,383,815,833,612,581,676,683,036,099,386,878,783,490,123,253,
235,149,447,792,664,384,512,596,147,706,633,200,326,173,561,327,790,805,357,
814,964,200,420,688,993,070,388,053,691,587,206,488,755,847,170,706,148,047,
721,936,405,730,219,731,741,278,851,898,554,737,010,883,467,988,143,499,913,
794,914,373,267,665,527,693,561,927,681,820,164,989,428,018,446,431,361,951,
802,662,141,582,578,193,117,637,710,254,234,106,727,333,306,006,906,457,922,
666,403,184,290,918,140,432,541,563,376,707,771,191,522,314,969,808,038,328,
904,131,147,362,084,581,760,636,338,632,092,359,891,270,989,290,445,525,231,
360,355,406,713,393,513,047,863,679,661,632,811,608,604,145,924,798,260,921,
524,267,279,592,775,645,957,668,628,551,346,421,683,791,070,566,053,605,036,
330,634,802,496,913,376,844,458,977,620,712,340,881,653,805,184,670,840,259,
012,865,954,699,482,021,672,912,990,191,619,015,638,325,700,382,051,067,961,
799,234,440,466,696,953,255,528,761,704,855,586,401,761,160,355,209,851,726,
262,862,906,639,783,137,931,532,082,042,989,040,734,646,799,052,778,981,809,
332,146,836,910,050,991,967,386,751,138,864,309,609,948,944,416,582,831,912,
624,916,980,716,581,660,698,643,607,887,719,657,632,889,940,489,057,786,051,
214,847,271,546,678,206,377,878,579,926,866,399,573,332,427,320,045,936,289,
910,350,804,505,414,240,070,998,336,957,313,530,962,121,040,553,988,013,664,
931,880,978,514,375,377,477,223,962,842,766,262,949,568,744,033,523,722,446,
232,860,508,481,650,938,501,515,330,533,652,236,558,284,091,630,366,415,958,
973,824,327,563,305,290,484,662,856,326,117,035,642,991,548,085,726,636,385,
700,004,726,711,845,911,939,905,192,325,558,926,529,965,512,039,757,504,738,
812,613,341,325,575,064,181,442,599,619,947,554,757,288,561,266,771,882,230,
407,718,174,532,998,013,606,150,650,411,842,115,759,096,351,507,295,398,946,
205,861,223,944,789,161,832,653,694,400,302,711,109,827,846,788,251,907,469,
678,561,787,470,792,732,308,087,730,313,779,765,245,008,139,314,865,473,813,
062,369,520,883,863,491,383,151,834,359,535,821,192,211,224,035,943,490,531,
751,617,665,338,259,178,433,842,223,750,383,750,375,345,407,718,620,160,598,
594,840,592,758,660,495,820,166,824,134,036,913,516,331,752,286,406,027,635,
235,471,116,565,115,833,215,272,211,855,011,869,366,700,685,044,985,419,929,
795,181,139,610,245,389,365,496,440,649,922,585,482,727,532,077,334,008,977,
532,565,868,392,002,247,336,022,709,185,194,147,195,417,270,345,794,774,139,
654,078,505,011,685,739,095,691,924,941,882,651,534,724,480,465,386,126,017,
527,956,554,115,736,639,568,246,118,082,275,769,075,982,637,176,266,676,415,
519,900,738,009,608,617,023,500,479,594,408,985,572,868,362,804,351,467,273,
380,030,417,099,296,049,400,351,095,193,180,233,547,579,399,153,832,345,803,
187,256,137,868,868,071,106,033,645,443,821,138,099,273,683,798,288,931,620,
315,503,462,661,019,985,974,592,259,684,635,816,943,587,763,379,957,879,039,
272,475,934,748,141,381,699,573,115,600,342,669,009,035,796,029,487,786,851,
244,999,077,789,333,369,539,930,438,625,696,151,570,353,641,888,625,419,304,
278,722,337,925,085,094,346,988,821,749,469,004,264,060,597,910,515,386,869,
878,982,019,504,502,919,566,252,945,943,240,863,421,912,823,169,547,647,590,
821,560,095,179,383,159,312,384,075,981,492,142,755,779,040,269,515,571,742,
483,628,367,755,248,011,305,323,254,568,809,870,937,023,995,286,839,050,783,
040,999,481,163,118,634,016,487,728,144,066,863,788,657,195,622,484,007,319,
519,209,308,268,876,321,504,836,999,889,945,318,314,610,870,599,125,699,701,
072,682,105,539,992,097,280,838,860,679,831,776,671,781,356,825,970,852,710,
925,015,319,300,226,584,235,702,845,621,760,667,186,986,352,728,345,422,691,
240,102,775,939,378,110,932,136,057,314,937,012,695,083,688,524,903,409,301,
241,735,948,282,488,229,756,895,709,291,627,691,476,546,333,386,060,791,462,
361,491,758,533,322,807,730,924,483,176,723,676,749,727,350,898,480,680,005,
006,796,935,621,365,476,121,990,136,928,528,504,535,127,064,721,048,171,402,
621,201,579,848,375,738,935,490,767,658,685,210,045,293,196,313,782,563,322,
091,090,622,949,279,947,619,571,922,303,470,925,954,515,340,771,308,113,546,
578,692,497,813,320,537,911,261,308,825,011,734,316,353,944,209,641,651,584,
016,592,695,790,362,511,736,536,459,330,776,952,083,382,763,084,429,556,402,
846,239,082,896,954,439,964,361,282,165,220,205,015,102,403,172,193,486,220,
130,298,505,544,109,701,850,557,256,965,709,394,428,655,857,649,358,050,942,
102,818,104,796,826,456,891,435,829,492,630,386,962,225,845,515,652,380,527,
913,965,997,084,647,404,578,968,713,440,455,286,979,640,485,675,200,004,070,
827,395,653,588,701,088,445,468,961,621,778,909,450,760,667,820,772,840,005,
268,086,344,410,745,705,170,237,187,042,803,782,800,324,951,410,099,753,097,
458,786,054,158,209,213,588,035,382,655,249,396,157,938,359,475,583,169,583,
413,371,728,294,203,013,404,772,432,657,321,295,744,572,025,205,445,797,871,
490,040,553,888,188,962,857,415,779,016,457,063,157,472,010,116,355,294,940,
950,179,153,582,190,530,590,089,855,279,522,185,062,053,101,894,524,671,787,
743,415,806,869,492,496,979,838,025,949,627,393,152,684,608,785,636,474,860,
652,654,114,356,507,754,330,883,412,390,375,785,533,640,379,455,463,584,690,
517,920,914,893,467,385,956,354,372,953,390,270,644,271,452,910,462,807,145,
041,574,819,326,251,246,978,683,331,687,549,789,161,528,519,070,650,099,708,
431,475,428,005,895,322,352,976,423,991,403,164,082,201,375,185,686,018,827,
932,737,806,380,382,992,345,549,915,966,016,270,174,873,293,215,233,443,217,
984,261,751,035,032,305,672,280,829,207,776,954,808,440,984,302,199,671,090,
938,416,684,109,733,524,361,398,517,703,495,190,498,066,356,277,289,505,163,
978,171,509,107,436,413,844,958,235,318,652,274,839,604,819,255,645,355,830,
300,655,841,152,900,823,806,960,309,474,186,107,514,571,430,512,411,273,382,
463,201,578,746,861,788,053,298,237,922,500,595,133,153,822,131,535,412,332,
959,879,049,648,252,149,825,325,491,079,256,639,898,724,774,070,900,306,477,
995,190,041,131,659,907,340,615,359,074,194,887,858,423,102,384,703,931,869,
020,239,856,131,707,678,327,308,604,345,127,373,141,942,160,308,588,821,831,
965,602,103,109,720,533,448,478,572,144,641,962,654,306,513,169,939,633,696,
610,022,258,679,091,930,574,888,252,257,330,155,524,880,841,807,588,908,538,
695,856,908,849,829,743,633,689,917,868,960,281,855,671,877,565,315,147,322,
200,132,647,619,661,675,546,102,169,281,472,717,595,766,360,374,191,584,635,
269,118,839,984,113,952,187,755,923,478,029,482,640,741,220,401,504,643,805,
998,851,189,988,467,129,987,831,676,144,033,803,469,217,403,626,442,828,709,
547,703,403,799,079,163,444,196,115,471,489,525,879,372,538,470,681,817,215,
469,591,198,700,912,613,902,267,511,048,422,472,904,724,256,859,859,976,300,
913,470,704,358,395,295,701,113,775,961,259,050,474,627,053,056,506,652,379,
112,443,572,961,467,311,013,454,729,842,752,953,876,890,230,635,068,488,453,
286,817,096,538,779,134,743,596,350,322,829,182,370,217,158,048,796,414,524,
172,365,217,874,746,707,610,340,428,550,323,174,435,186,025,272,862,030,409,
967,760,697,247,818,489,933,141,121,016,690,050,806,134,130,497,313,470,243,
268,825,140,217,806,865,181,083,717,227,444,429,254,082,195,788,620,742,082,
548,280,624,315,544,935,674,315,561,162,934,654,159,937,749,793,557,889,127,
474,036,544,230,070,542,143,379,143,121,883,198,041,420,757,373,167,084,153,
314,669,065,239,354,253,488,177,250,964,967,074,792,122,404,431,223,382,435,
778,142,947,712,250,979,112,188,583,996,131,687,223,302,694,161,587,132,468,
910,464,565,544,670,950,651,973,843,799,002,651,105,415,323,532,543,415,232,
312,009,023,216,015,230,453,559,997,525,531,352,959,381,920,637,732,256,902,
977,992,948,955,031,728,898,297,855,984,857,565,741,369,865,362,703,944,219,
178,930,287,833,754,416,169,945,732,983,781,552,943,986,675,106,701,813,287,
094,781,483,148,985,577,704,131,109,816,347,830,105,997,708,665,959,318,538,
364,806,255,131,608,621,429,758,791,880,868,738,796,418,971,804,509,343,133,
921,066,509,317,411,662,285,536,968,182,963,699,863,888,630,964,200,325,522,
419,213,119,593,759,090,969,050,114,199,102,527,733,257,807,144,430,374,087,
923,655,330,297,699,588,042,580,609,958,903,839,016,020,132,031,411,857,103,
540,615,201,989,324,569,375,321,374,205,070,050,804,272,727,073,340,730,546,
888,712,100,266,124,899,231,518,297,470,399,038,617,759,098,969,139,853,109,
289,009,238,657,564,705,727,509,591,512,908,743,567,726,585,407,721,436,776,
135,980,357,167,683,543,607,473,671,869,355,365,155,622,750,309,300,775,695,
270,766,156,787,673,037,002,961,899,748,753,358,664,716,853,439,703,691,721,
436,132,005,712,002,589,254,439,173,471,976,469,654,897,252,263,846,204,673,
310,998,331,753,857,354,866,219,360,661,308,289,588,157,270,705,471,869,869,
672,139,578,549,543,917,967,022,837,141,220,445,904,196,684,036,931,952,899,
482,527,389,555,553,218,782,260,868,137,457,173,067,263,553,379,260,853,677,
137,950,074,839,997,970,920,148,524,315,611,116,963,387,857,254,623,513,691,
935,567,578,354,591,110,839,976,674,931,795,933,489,635,862,533,569,044,135,
752,007,314,787,232,531,417,484,345,956,983,799,657,088,919,494,007,035,849,
943,530,317,465,561,895,045,715,722,464,596,393,110,534,370,103,970,729,949,
853,995,218,686,677,018,241,819,555,904,186,115,559,448,226,561,559,901,228,
284,437,389,994,970,965,356,306,177,659,416,711,369,640,986,893,823,743,657,
029,033,759,524,001,725,211,635,051,939,841,676,988,518,975,415,461,531,828,
679,125,886,436,027,780,605,415,624,210,125,138,760,645,731,211,758,836,215,
796,411,367,521,870,880,635,807,731,420,591,741,873,476,626,399,480,078,113,
792,497,625,097,123,632,357,605,635,212,742,937,034,039,927,506,848,689,384,
964,207,310,822,420,245,234,705,441,354,627,685,303,615,884,772,440,441,704,
277,534,368,058,198,494,893,384,692,466,764,022,484,961,924,710,963,043,464,
749,434,176,912,613,173,061,837,678,367,392,970,470,639,297,454,254,045,777,
495,992,651,983,433,393,054,882,517,165,700,482,051,269,928,031,539,406,938,
022,563,819,584,554,611,672,024,587,991,057,647,343,738,746,276,168,191,547,
169,635,738,393,102,164,433,606,778,235,336,478,361,538,414,358,358,531,635,
368,302,515,954,019,788,735,409,489,153,071,005,690,644,128,276,291,675,055,
796,432,440,773,265,689,147,781,928,774,066,951,941,610,756,970,756,334,971,
234,052,137,045,796,828,173,328,788,352,312,735,840,133,963,749,318,757,460,
959,077,661,594,385,729,894,639,679,470,397,866,159,249,841,481,628,725,084,
539,142,581,330,263,878,812,975,867,552,835,803,110,225,155,361,765,848,901,
967,571,996,093,456,817,858,303,893,502,613,846,524,734,903,898,649,873,100,
193,056,863,299,449,247,595,859,524,253,811,790,031,543,753,673,125,960,870,
514,685,479,980,340,307,695,551,981,129,243,561,517,902,958,455,886,354,764,
498,501,771,945,820,421,078,040,512,987,924,761,460,347,353,397,652,406,521,
566,268,806,049,202,629,066,271,948,541,937,142,757,617,107,106,261,839,396,
528,407,351,249,260,754,273,502,510,593,875,603,427,854,462,671,899,149,057,
012,759,400,187,833,238,574,774,071,291,660,556,822,718,004,892,974,826,005,
631,837,022,020,719,376,612,980,020,513,668,572,267,234,137,841,664,971,100,
288,947,149,342,513,878,215,562,074,663,195,680,041,011,530,413,797,877,155,
166,135,890,020,577,756,209,523,329,510,792,017,539,721,136,039,805,388,517,
704,027,846,141,808,406,160,502,907,880,208,133,893,354,306,028,781,078,833,
865,013,300,741,901,728,942,328,920,269,983,908,470,801,798,471,767,466,071,
180,846,463,324,926,819,364,335,387,255,297,991,051,142,019,197,015,151,363,
464,805,937,369,975,694,399,274,953,593,382,609,969,108,010,566,900,203,497,
721,854,234,266,514,354,969,999,541,907,603,732,719,300,115,421,744,643,821,
590,605,829,689,255,802,157,156,182,869,833,104,050,266,667,734,456,878,885,
911,187,512,948,797,942,714,941,681,843,429,312,993,596,370,595,164,156,890,
930,210,916,483,539,397,540,018,895,095,275,677,481,902,700,972,643,079,514,
655,319,067,158,794,644,040,441,160,579,564,416,175,362,892,883,259,885,402,
885,340,689,928,447,844,593,825,125,289,320,166,501,449,914,774,427,493,679,
712,073,095,772,863,293,043,587,377,786,138,211,591,112,612,557,897,619,633,
100,953,912,652,423,604,094,553,232,563,005,836,481,038,815,785,949,298,023,
564,143,272,637,630,482,262,133,147,340,013,351,215,111,914,962,113,023,342,
152,508,915,684,204,179,539,768,652,528,347,454,879,521,540,504,139,478,352,
991,070,431,605,466,410,859,730,412,149,968,458,342,414,934,970,943,946,518,
548,666,506,161,074,831,346,664,291,878,093,396,792,454,287,599,238,887,105,
886,731,907,739,758,290,872,937,347,958,573,727,123,359,587,968,934,688,384,
770,526,221,086,654,168,352,521,519,876,363,168,285,061,627,856,494,991,188,
446,604,643,216,549,113,737,996,048,840,760,693,477,006,146,257,755,644,610,
040,365,127,198,658,891,661,787,192,766,231,934,736,233,578,506,194,117,769,
300,976,671,866,000,273,447,000,535,037,440,790,912,312,971,259,390,541,740,
792,358,831,426,715,856,720,417,962,378,162,723,562,686,786,073,841,725,979,
046,710,579,395,713,797,063,910,816,210,390,682,760,425,916,248,798,799,374,
859,552,936,653,848,208,779,534,517,084,935,820,266,923,861,815,971,474,814,
174,481,405,902,145,927,148,468,588,921,005,447,343,572,335,766,043,836,169,
822,375,335,469,998,210,159,269,545,959,982,559,198,301,451,428,351,119,901,
778,097,251,565,058,211,749,510,128,349,088,043,074,365,886,185,193,845,522,
790,483,152,354,003,668,909,528,446,598,084,027,743,276,161,969,784,326,167,
010,533,375,063,491,223,605,417,449,642,642,288,681,503,013,680,526,387,297,
512,871,840,224,200,881,009,532,208,640,724,442,109,150,108,027,773,763,695,
578,148,349,491,664,009,909,893,024,451,043,077,113,128,206,969,931,985,797,
493,472,891,587,203,135,001,203,004,342,513,469,989,182,026,783,233,587,498,
855,491,425,770,875,576,781,289,045,629,036,892,634,368,274,570,754,885,064,
506,790,903,462,852,269,795,095,026,340,938,507,864,111,146,313,440,215,345,
574,074,022,627,425,484,732,445,664,147,203,391,855,358,320,761,431,407,497,
081,567,408,303,837,343,920,315,328,970,078,372,625,230,806,396,194,238,238,
273,373,216,282,341,508,959,519,861,262,527,779,887,358,194,784,838,239,262,
580,395,941,136,459,261,871,570,374,153,164,239,375,141,897,580,835,723,480,
844,652,698,925,925,027,826,695,178,521,138,458,045,787,594,416,374,056,805,
317,527,777,692,112,800,441,026,734,546,385,299,126,421,986,137,869,333,950,
297,240,560,915,594,930,079,034,888,919,155,796,545,993,297,930,124,404,284,
106,906,952,721,245,840,078,362,662,964,278,840,642,925,326,654,299,281,323,
304,855,925,754,724,673,591,633,367,720,478,683,868,252,247,358,109,222,564,
570,455,504,868,746,320,165,118,758,890,181,277,359,980,633,567,858,060,828,
425,991,058,701,656,564,839,845,100,400,485,563,470,222,815,457,944,839,291,
405,234,120,688,316,700,488,636,289,454,911,379,434,102,650,875,829,446,817,
313,326,035,855,586,519,542,895,116,442,838,949,647,724,447,325,111,587,967,
640,524,496,122,249,466,821,325,867,211,712,528,805,744,328,530,071,001,307,
680,760,220,854,478,349,630,654,868,992,604,565,159,903,421,570,473,931,967,
549,461,830,938,455,655,958,801,307,541,270,648,658,916,029,203,466,927,860,
202,145,681,674,645,321,665,214,048,350,462,892,982,115,659,628,956,273,250,
139,016,273,138,647,084,130,488,038,407,479,738,269,843,382,576,157,115,491,
686,667,709,755,284,697,148,955,321,822,250,756,188,005,159,703,018,602,003,
935,710,657,517,428,153,035,520,904,227,379,874,942,385,610,177,614,208,537,
961,421,211,174,466,008,015,106,574,023,983,199,678,433,902,592,454,752,614,
937,803,981,913,837,704,373,458,793,980,660,215,656,100,180,676,777,119,499,
704,765,535,343,771,847,159,161,429,023,347,907,373,468,666,208,945,254,840,
174,738,088,121,165,850,047,407,868,290,309,442,335,764,082,932,849,702,322,
394,984,919,310,302,413,195,090,520,951,533,544,812,277,676,963,964,959,801,
860,093,481,229,448,764,238,793,719,534,276,908,572,783,887,367,175,285,802,
137,053,622,602,192,463,051,513,493,496,426,226,067,354,182,896,597,311,882,
742,288,023,306,174,148,581,865,592,736,267,812,354,200,053,455,233,664,679,
316,819,480,664,061,209,617,251,381,202,811,539,262,207,765,051,323,519,584,
719,672,860,403,568,420,741,114,413,746,129,896,174,645,635,474,529,109,674,
234,588,306,876,595,545,358,360,820,491,297,616,731,590,898,886,770,056,987,
958,735,797,389,622,715,411,712,810,097,945,569,693,223,607,650,722,311,570,
651,953,884,220,412,905,809,592,949,805,245,239,181,208,692,259,364,107,252,
090,792,252,234,710,423,118,053,464,605,874,483,908,515,768,763,396,093,145,
049,595,102,099,509,224,590,562,676,196,773,086,716,168,249,163,558,477,583,
239,650,443,692,572,058,446,986,441,055,985,674,985,146,921,131,715,745,827,
403,769,721,533,646,966,366,721,001,313,584,053,503,044,018,156,710,959,282,
783,039,971,622,219,688,102,162,040,763,264,292,576,224,669,303,228,471,518,
924,158,360,558,577,737,222,452,072,987,346,326,189,107,065,077,593,181,340,
131,791,821,994,170,209,222,691,442,386,034,274,842,698,208,995,041,121,267,
850,747,041,445,104,762,873,718,349,423,858,169,532,669,183,200,535,299,222,
020,826,136,371,733,942,334,421,076,541,859,325,538,436,016,171,899,308,269,
724,853,942,260,195,925,404,363,246,700,213,546,864,298,736,490,853,013,151,
878,805,452,108,822,438,286,931,374,589,402,812,122,552,960,460,038,053,816,
396,232,303,106,704,543,418,098,387,823,135,745,810,740,238,503,211,935,651,
412,618,049,803,357,971,521,718,292,992,366,090,578,134,488,102,808,222,870,
060,245,562,405,395,128,255,540,461,192,378,458,507,211,921,950,087,375,368,
206,151,067,967,972,573,708,900,844,870,447,344,437,116,421,880,379,390,712,
227,599,830,309,707,247,523,089,383,985,602,172,274,280,096,478,457,103,631,
440,669,032,096,147,838,671,229,061,812,842,370,055,292,180,942,498,246,234,
984,091,810,391,955,373,556,956,208,290,461,721,493,557,882,035,204,562,857,
186,161,159,850,429,203,569,623,176,443,395,003,493,488,503,684,514,257,934,
067,939,986,700,096,122,168,195,896,665,158,956,229,251,525,382,864,846,279,
013,459,708,346,472,819,771,388,696,537,633,751,569,420,318,139,480,657,819,
991,438,202,682,494,406,063,304,431,525,520,605,361,334,590,695,045,543,073,
301,607,107,904,563,727,409,371,191,668,298,272,905,458,437,539,664,765,748,
133,506,294,279,864,343,616,708,934,957,685,455,838,316,520,235,707,907,293,
543,569,170,031,931,821,821,187,994,395,627,792,313,561,119,764,061,218,574,
477,326,087,186,949,712,623,548,123,547,951,328,735,734,417,077,767,631,658,
072,379,206,883,513,960,571,491,968,276,081,033,844,452,577,129,026,460,107,
747,473,521,119,964,217,889,561,558,644,696,096,312,401,509,495,025,627,876,
247,586,467,140,967,749,305,491,344,613,093,752,756,748,431,093,122,494,907,
492,000,885,881,891,140,173,709,148,746,844,382,449,078,678,181,683,284,826,
704,087,200,406,018,757,016,988,556,266,927,828,386,189,648,461,586,514,498,
186,474,541,214,753,247,562,813,284,607,067,013,047,387,664,297,992,449,902,
055,530,376,285,393,669,867,282,673,686,794,263,090,607,460,726,395,009,690,
436,965,275,332,830,898,589,105,499,782,519,496,490,700,835,176,812,307,736,
127,222,954,958,997,539,742,125,929,657,492,363,626,954,554,902,834,388,459,
985,467,920,056,173,432,666,464,460,512,472,886,145,116,892,758,577,249,456,
681,849,011,524,787,870,339,646,881,549,591,390,992,600,264,873,383,621,518,
795,952,727,727,684,769,791,827,279,039,492,140,301,530,594,309,087,143,069,
169,300,401,011,992,310,579,658,357,866,195,687,230,145,206,882,488,075,928,
047,687,189,681,239,591,268,860,422,732,235,956,757,428,316,156,062,314,968,
293,646,001,327,164,618,814,487,827,781,835,806,147,323,733,581,815,023,442,
122,628,401,477,623,793,266,457,493,359,569,737,171,992,248,162,420,124,658,
963,173,484,519,774,214,457,552,262,150,556,944,103,868,502,430,302,569,779,
176,379,320,941,995,805,959,368,696,543,045,132,532,614,095,208,242,227,159,
415,679,792,854,042,237,901,055,948,421,776,363,302,426,257,989,028,069,079,
749,504,528,421,284,163,090,713,159,072,153,417,753,181,919,367,522,306,593,
717,992,622,759,304,988,420,468,512,443,913,467,962,458,354,430,123,751,413,
323,657,287,182,731,046,087,978,962,672,789,844,992,960,762,649,936,026,006,
434,595,245,015,293,523,490,089,854,251,189,330,870,136,342,727,798,351,226,
678,120,725,984,059,481,487,674,635,708,023,210,280,271,227,668,821,469,913,
582,914,728,479,220,674,342,039,688,702,598,534,012,983,290,045,971,158,429,
447,393,805,116,868,937,431,227,037,822,124,249,853,631,759,018,054,489,810,
868,690,670,867,458,669,498,296,226,094,099,809,925,652,915,726,618,294,594,
538,369,400,409,377,689,731,174,970,454,335,199,161,883,484,437,559,079,014,
592,142,497,141,765,622,487,113,759,875,425,653,028,173,278,467,374,074,368,
937,571,637,891,983,809,562,515,684,563,954,650,985,101,615,447,363,883,018,
373,558,319,799,010,908,429,787,579,009,689,873,607,260,374,329,323,183,168,
520,024,849,042,967,623,012,433,967,760,847,935,343,378,624,263,342,908,860,
955,176,497,584,415,587,337,872,181,493,400,689,128,642,228,290,966,408,538,
658,227,626,677,267,142,704,380,416,068,558,178,496,286,371,664,570,051,570,
737,162,920,657,110,457,459,469,573,216,165,856,483,930,112,682,949,145,046,
254,326,860,649,453,999,098,701,409,967,574,534,156,061,009,716,758,822,213,
946,664,820,040,952,080,383,928,642,458,268,433,745,700,735,670,483,492,104,
442,625,678,187,633,516,376,950,123,172,358,826,903,375,332,185,615,157,241,
602,092,263,075,171,155,777,752,037,630,495,573,619,640,821,171,952,971,386,
129,955,520,881,932,828,470,922,858,036,153,264,584,215,154,202,377,914,126,
010,608,232,639,167,000,824,936,850,229,846,430,856,780,107,797,860,643,652,
204,073,577,645,990,740,519,174,928,836,929,939,499,406,139,225,010,873,890,
069,739,629,875,926,520,751,668,949,097,554,190,873,231,529,404,391,589,817,
360,367,461,983,744,788,014,020,139,667,227,231,021,270,125,460,236,164,528,
970,358,925,799,351,654,218,635,256,811,097,443,440,697,628,243,305,195,150,
243,863,172,596,570,898,584,015,751,386,565,003,454,328,494,341,894,295,849,
779,857,067,880,188,643,602,723,083,573,665,276,067,584,304,963,919,392,838,
288,761,780,015,216,794,678,188,851,385,358,597,861,067,869,901,521,065,231,
111,650,022,011,675,013,506,446,576,304,402,242,672,901,966,920,597,322,844,
057,866,483,028,832,466,878,788,600,944,957,200,569,544,139,852,387,807,085,
545,219,559,680,554,955,748,420,478,368,777,773,781,225,708,845,723,061,265,
417,244,165,570,713,403,127,051,215,479,244,320,430,841,522,877,139,809,284,
759,508,016,134,389,701,783,887,592,625,286,506,856,030,767,363,429,972,324,
387,268,228,685,481,851,810,188,107,324,065,436,670,366,027,337,570,788,862,
475,893,034,990,837,446,275,308,055,410,773,406,648,360,620,438,728,208,041,
140,418,577,456,391,167,642,958,443,567,213,406,068,483,552,587,323,483,923,
895,779,490,258,285,071,422,552,211,652,840,367,085,996,483,544,264,962,833,
319,293,731,034,914,664,029,864,418,296,717,306,621,310,709,845,776,681,547,
525,318,484,153,789,713,422,234,145,104,067,959,232,314,202,248,170,674,061,
868,023,609,396,064,846,872,633,781,865,852,298,914,763,615,309,171,114,017,
895,268,063,753,542,773,880,565,221,911,977,300,410,960,701,749,998,642,456,
818,012,205,043,543,895,699,099,949,883,622,065,075,710,980,923,727,454,849,
661,307,677,133,317,282,845,900,288,292,171,032,211,978,903,557,207,764,383,
468,042,928,297,236,282,913,438,621,956,426,849,995,784,181,419,662,231,615,
656,236,943,418,430,578,123,205,355,111,104,902,303,379,580,545,954,563,952,
515,451,711,358,071,994,137,335,707,818,800,615,211,529,135,982,294,991,364,
257,971,127,898,136,560,757,294,670,616,779,374,220,858,974,401,709,131,099,
369,448,736,047,448,073,467,985,508,874,388,809,309,829,893,959,718,548,004,
725,639,760,355,773,996,622,031,998,509,591,016,795,402,176,949,326,439,350,
757,197,465,175,691,504,410,794,486,156,867,553,714,686,998,273,447,898,304,
268,875,474,724,430,920,654,177,796,249,852,199,747,932,030,717,362,518,192,
716,430,007,549,472,882,625,460,232,847,983,497,951,886,985,370,575,602,082,
044,266,772,401,510,741,209,948,008,464,127,708,573,762,506,859,565,544,419,
906,932,210,096,653,771,677,445,854,947,472,571,195,808,802,996,854,866,881,
196,657,504,343,814,623,814,956,498,928,516,413,429,795,667,039,394,110,158,
543,906,670,670,657,817,402,665,565,820,816,969,211,817,579,631,668,571,450,
079,391,880,030,366,337,261,880,144,981,872,461,404,602,180,507,948,688,721,
428,333,401,438,516,049,257,108,519,856,023,128,701,953,260,697,558,522,550,
897,496,233,217,028,595,871,673,416,833,131,227,913,302,032,326,368,259,032,
032,996,108,126,777,511,431,000,124,428,200,664,886,848,550,422,168,789,978,
442,741,669,372,740,129,027,372,828,237,057,626,949,630,820,749,838,655,063,
324,357,278,264,518,386,179,490,298,462,129,127,031,888,320,891,417,379,851,
448,794,727,190,232,230,826,268,926,674,424,347,364,372,398,203,494,354,107,
521,911,728,346,132,729,024,313,171,415,732,904,155,584,703,171,488,010,909,
407,165,437,839,763,883,128,645,612,046,901,599,400,278,349,671,112,169,463,
302,345,884,363,320,919,090,265,290,177,331,098,953,490,091,134,899,883,444,
598,517,346,213,693,259,575,910,296,173,291,951,710,274,069,490,961,346,507,
618,441,727,832,992,004,777,485,472,372,880,611,239,462,010,338,722,070,277,
592,964,118,330,926,692,352,147,860,116,692,220,222,974,699,462,720,638,649,
625,499,527,816,267,207,305,808,343,150,293,671,014,513,875,884,267,603,974,
691,329,593,276,330,410,490,213,824,683,739,279,162,812,490,965,858,030,135,
100,389,339,367,576,664,603,256,362,799,936,079,623,959,477,210,246,236,854,
129,701,804,861,682,637,929,893,607,194,320,798,104,182,622,208,507,217,310,
506,009,801,262,607,112,603,266,223,171,341,677,310,488,109,120,537,082,952,
304,399,538,263,429,134,160,454,506,096,372,065,023,310,437,578,537,865,738,
166,204,134,284,646,355,535,263,603,940,682,075,841,150,883,856,143,508,524,
421,641,135,949,068,368,846,840,211,886,956,239,560,398,590,680,297,444,357,
169,169,954,336,685,775,679,548,137,515,074,035,888,970,003,269,791,387,613,
093,891,481,077,888,445,423,335,577,100,070,253,790,561,331,526,485,493,254,
026,466,403,917,440,664,497,115,687,393,915,747,965,763,854,478,087,801,936,
866,617,919,151,319,148,221,099,702,112,656,542,387,706,392,485,636,491,081,
127,902,457,378,183,865,976,470,375,980,409,936,614,532,701,627,820,112,174,
639,610,847,478,535,608,407,418,184,404,356,896,812,385,600,307,881,305,652,
549,701,707,759,851,366,057,261,374,432,968,310,512,602,093,119,681,474,016,
138,122,556,233,230,124,533,502,741,166,473,236,755,285,683,385,698,704,237,
460,696,597,211,919,107,923,056,398,830,109,819,317,476,072,971,886,478,708,
701,962,138,969,163,827,608,430,630,233,161,146,747,102,488,811,505,209,998,
035,196,648,717,946,918,988,804,793,615,471,259,747,155,177,759,368,632,035,
664,474,057,732,647,267,520,194,566,393,616,713,164,587,036,263,016,901,954,
317,414,086,706,160,918,829,267,970,502,126,842,288,158,967,412,562,152,129,
611,187,561,673,004,102,930,452,797,988,758,130,676,678,397,045,382,141,537,
509,525,988,187,213,614,143,036,697,981,380,315,041,209,219,414,713,859,264,
390,539,634,358,177,820,220,900,714,704,838,420,014,056,279,707,044,340,058,
237,913,839,993,958,491,265,513,271,150,183,097,172,881,826,358,878,374,494,
644,556,289,892,527,185,712,871,999,034,001,895,283,527,138,083,119,574,803,
361,183,122,755,930,092,203,251,020,570,895,473,253,584,986,299,902,282,921,
531,925,564,550,073,327,695,566,385,612,386,166,715,958,718,939,581,177,762,
494,715,519,826,740,987,945,745,242,742,907,955,658,948,555,456,603,723,503,
682,275,087,255,246,623,851,970,503,875,612,153,199,623,499,607,610,874,166,
015,170,117,248,768,499,078,396,143,811,325,885,041,404,569,551,728,946,163,
493,103,778,130,450,463,745,329,133,865,372,308,112,918,959,801,270,093,084,
311,743,406,066,514,046,553,533,582,090,156,424,554,223,815,333,004,077,236,
076,990,370,874,970,204,888,176,565,443,436,325,162,184,586,823,550,019,730,
511,480,871,739,145,303,943,230,454,669,060,090,914,491,154,316,047,708,904,
252,052,528,253,965,418,645,599,219,702,624,079,788,011,738,278,023,999,881,
805,058,852,238,073,225,295,167,443,231,208,683,449,841,982,223,581,820,611,
928,478,026,339,220,718,374,689,319,016,337,280,780,422,559,347,973,909,062,
690,139,765,573,987,240,066,579,680,650,505,655,763,222,908,451,364,674,755,
480,360,859,899,932,137,742,144,576,104,702,483,697,954,440,307,407,459,934,
253,388,287,212,543,915,323,666,299,880,764,499,279,971,399,218,995,457,037,
671,494,261,701,265,764,453,843,758,249,567,981,980,469,094,915,221,582,079,
809,722,377,646,259,448,016,859,821,358,244,473,445,732,001,428,655,850,303,
945,857,204,551,765,563,622,569,246,153,979,330,651,385,396,558,518,385,795,
429,998,932,656,156,732,496,953,138,880,139,460,450,469,515,965,277,086,344,
311,899,864,871,795,794,308,302,653,093,254,340,005,722,691,338,183,415,415,
790,054,509,127,127,441,355,649,327,488,477,642,409,592,344,300,917,922,800,
582,916,174,481,119,617,725,162,339,184,586,517,730,204,509,406,955,692,885,
177,018,136,481,274,342,219,231,101,539,605,388,484,141,292,602,148,865,258,
968,646,373,630,401,370,691,370,044,157,030,566,218,098,388,170,062,146,928,
361,317,740,641,841,025,336,608,208,410,547,385,975,060,985,047,449,019,488,
437,520,502,882,407,883,824,092,766,815,548,986,496,845,762,151,709,638,887,
171,492,335,395,021,629,660,578,096,047,038,152,530,230,978,091,644,999,633,
786,388,832,142,816,895,079,533,311,866,850,846,071,341,388,065,721,482,741,
037,072,537,030,592,427,181,696,879,729,313,109,198,097,623,642,250,348,039,
425,030,250,977,463,296,796,871,296,427,909,920,012,108,491,547,401,157,102,
324,499,569,517,833,744,519,410,672,188,279,227,812,002,000,584,087,396,143,
365,336,646,394,182,205,544,839,355,617,249,177,872,052,297,286,882,665,175,
247,136,788,769,756,232,310,433,962,764,572,425,478,289,650,084,520,403,534,
092,607,604,140,389,312,196,072,852,378,510,048,735,240,703,950,593,052,887,
673,833,861,389,482,718,030,948,876,946,129,752,189,596,049,151,758,417,776,
300,611,734,876,509,496,897,778,026,817,535,876,941,236,886,450,677,944,407,
183,857,695,698,932,165,266,060,883,020,740,957,639,816,349,147,742,420,218,
479,041,813,823,518,877,201,408,370,753,732,629,989,706,058,795,976,825,151,
218,500,201,626,989,344,634,621,083,241,605,266,817,473,783,096,891,357,517,
977,626,417,293,511,880,659,707,209,818,933,219,823,105,672,233,466,893,443,
080,852,656,199,412,606,015,318,763,639,575,580,636,922,433,098,911,433,482,
838,187,998,829,567,698,184,338,780,730,716,677,834,288,369,729,724,415,065,
021,244,431,052,159,342,716,763,087,527,226,293,574,709,125,746,215,235,338,
701,271,328,125,134,840,964,348,072,561,154,268,268,769,326,397,231,357,473,
556,896,068,735,781,075,653,642,968,316,579,608,962,009,003,341,327,237,372,
739,730,211,091,352,400,360,820,371,760,840,118,927,322,347,199,513,488,937,
402,382,318,648,287,370,799,972,663,821,607,656,036,156,719,538,012,946,789,
697,083,528,693,800,139,358,059,406,856,734,178,636,159,223,596,387,790,539,
133,635,226,730,526,713,020,851,376,854,479,931,339,455,687,847,243,655,223,
373,023,327,369,722,821,037,381,697,408,554,243,408,475,605,867,475,779,362,
810,467,920,309,101,556,130,061,821,049,251,927,341,255,736,806,890,352,779,
548,506,853,155,409,386,021,548,030,392,764,884,046,468,733,892,557,815,905,
602,421,276,543,504,661,377,392,573,592,014,944,212,383,882,197,753,138,816,
569,629,518,332,202,009,480,004,026,837,326,614,786,366,346,729,971,626,902,
180,002,035,088,957,452,405,079,406,927,184,930,564,889,166,217,682,183,874,
853,201,523,557,454,903,949,917,142,627,039,187,042,512,072,143,493,487,310,
239,500,387,136,078,427,745,939,809,944,607,797,959,770,333,044,203,606,899,
027,237,848,887,644,934,534,361,209,016,803,720,222,628,579,382,040,724,304,
946,396,089,777,261,596,405,246,342,766,534,372,824,361,201,656,103,746,990,
302,383,378,405,565,594,525,710,271,850,687,770,923,953,344,941,637,481,486,
676,035,626,715,643,179,515,300,522,346,274,277,831,275,796,122,443,896,867,
927,902,230,988,836,089,237,224,625,281,902,781,661,961,219,932,987,916,781,
254,449,409,500,305,897,894,602,517,791,854,526,094,977,946,003,851,532,525,
840,239,179,748,384,508,747,213,608,863,907,865,088,483,823,849,257,371,137,
179,651,130,523,187,885,940,256,232,778,804,241,730,464,519,889,550,302,801,
270,353,743,445,427,063,005,215,621,620,342,726,334,487,058,930,342,637,535,
985,964,858,769,195,594,995,138,601,949,195,371,145,565,013,855,105,103,610,
023,697,897,997,900,135,612,641,866,425,922,870,595,912,814,146,777,589,725,
747,757,843,999,567,796,000,733,730,190,404,584,949,186,963,333,552,623,824,
798,847,472,649,820,234,460,681,225,822,947,244,736,487,589,312,382,603,867,
892,290,579,861,539,767,997,116,722,734,674,012,211,369,035,597,746,733,498,
652,981,361,986,910,984,192,959,313,817,920,985,056,151,364,782,193,408,156,
771,135,954,234,427,249,032,667,947,001,142,595,910,329,163,041,456,926,804,
831,323,462,187,185,322,405,891,686,818,548,611,853,834,009,991,782,330,225,
618,640,228,187,674,196,326,053,618,552,801,401,908,556,438,043,190,133,860,
557,494,681,814,532,810,411,124,302,347,402,966,190,682,360,610,789,953,923,
699,646,700,514,777,442,747,702,757,126,719,193,224,132,132,998,824,994,144,
718,813,875,312,050,586,893,536,372,446,959,223,786,593,163,038,780,711,346,
277,171,897,732,733,974,840,801,858,482,527,309,858,000,100,890,371,563,487,
890,743,044,392,957,813,147,816,281,067,999,372,283,430,223,604,058,907,819,
677,597,624,259,561,144,648,601,828,372,471,125,947,046,754,282,887,021,698,
911,587,761,307,590,535,038,868,359,925,369,565,085,330,259,839,725,215,073,
476,363,298,689,765,726,525,544,057,550,612,988,816,724,338,870,863,116,381,
536,968,539,225,905,609,525,765,302,277,467,805,355,780,570,050,162,983,297,
383,295,445,966,805,505,164,444,397,947,150,550,921,956,682,480,628,705,873,
648,130,600,532,515,456,232,251,858,587,930,842,876,121,868,528,484,099,364,
800,239,659,489,472,880,621,653,008,491,580,921,134,372,437,178,359,993,924,
472,769,285,733,863,567,831,466,175,697,602,196,632,367,400,641,136,519,911,
470,662,475,643,415,840,406,045,701,746,140,325,375,520,580,520,776,152,097,
858,719,492,085,730,763,376,635,547,691,836,572,633,570,030,696,477,087,456,
497,659,927,130,882,315,064,365,420,993,048,062,957,669,175,551,030,473,357,
712,392,007,362,400,996,582,776,529,698,240,427,904,258,878,058,600,076,919,
178,516,570,876,219,071,744,189,100,643,190,589,424,178,513,006,529,570,870,
468,911,585,086,118,953,632,929,469,614,160,205,341,393,885,004,307,388,990,
115,351,761,134,159,267,740,423,144,640,163,836,373,875,173,543,270,545,394,
347,439,044,588,743,926,639,826,138,872,593,073,332,909,007,631,582,295,749,
062,979,778,250,326,735,292,968,070,395,876,177,949,349,417,632,139,899,305,
754,038,529,524,846,811,068,303,386,852,622,996,306,923,728,531,307,564,541,
812,592,056,571,251,516,786,542,415,914,898,500,795,754,570,911,284,703,346,
954,427,943,641,689,943,509,436,311,102,684,096,438,744,371,248,307,889,671,
448,284,196,988,060,035,940,729,599,376,450,677,322,502,030,375,396,311,641,
694,943,546,328,581,307,954,810,238,342,393,421,111,661,691,551,084,256,794,
476,995,277,303,846,879,131,028,909,881,694,827,555,783,752,017,253,008,404,
445,547,514,686,107,331,090,639,042,531,952,300,536,854,719,221,957,252,997,
363,733,264,881,741,512,663,158,712,819,687,923,136,189,004,672,836,523,185,
452,505,456,396,726,159,076,473,131,830,540,073,554,085,120,948,197,757,707,
291,136,142,393,609,918,381,693,972,221,378,168,977,937,816,587,027,517,787,
100,502,920,036,079,479,770,468,416,260,720,383,849,126,275,175,487,195,880,
402,759,168,954,326,828,486,029,175,871,039,932,630,683,153,716,554,058,171,
348,113,888,294,848,511,869,556,670,585,909,302,184,829,824,896,477,346,490,
592,759,346,837,863,153,868,159,801,742,800,500,000,879,695,494,758,521,805,
093,069,254,756,665,939,228,794,792,198,703,143,522,547,200,559,277,018,233,
490,883,230,537,680,753,636,084,229,251,833,888,207,722,131,269,309,714,570,
577,314,680,765,429,529,494,585,993,289,998,578,942,003,285,299,071,325,879,
591,224,345,618,206,573,304,732,409,584,231,807,296,284,529,570,352,975,278,
390,902,300,800,087,944,162,439,429,882,645,705,852,452,420,083,278,231,032,
762,420,676,169,074,414,831,522,475,769,235,189,405,631,472,449,414,786,026,
409,485,115,638,668,834,176,879,693,577,020,378,244,394,107,799,039,855,586,
021,972,258,783,306,718,007,611,817,488,182,886,805,104,773,038,362,227,826,
425,931,311,714,996,219,946,146,780,538,852,853,684,636,057,985,545,520,763,
391,917,371,608,366,990,139,831,912,230,587,578,430,644,773,238,438,942,242,
743,561,224,784,071,752,856,084,324,955,385,374,375,600,859,711,643,963,569,
860,197,379,433,506,090,199,484,459,227,256,224,010,570,419,755,572,555,394,
359,206,110,016,740,898,914,754,437,347,234,444,618,369,877,947,543,280,670,
602,562,430,515,994,049,368,985,994,370,528,100,602,107,445,116,608,152,162,
283,002,105,811,470,970,558,160,704,075,283,304,866,927,498,661,404,357,898,
331,793,365,897,851,947,819,491,301,054,608,154,201,778,741,698,684,246,359,
260,693,785,877,155,759,773,960,188,568,537,695,284,837,997,020,119,867,736,
959,891,277,219,207,730,303,425,960,168,110,460,845,165,215,575,942,266,878,
377,176,179,844,397,598,851,500,620,023,737,149,091,386,783,742,493,157,960,
376,026,501,616,902,140,336,456,817,588,358,512,371,609,679,090,261,193,701,
898,195,608,707,543,949,242,628,667,754,580,796,912,271,815,151,331,250,987,
110,637,685,309,975,872,299,834,405,913,481,265,589,077,942,981,169,953,032,
099,528,763,957,564,715,110,946,230,594,787,992,468,511,405,075,621,871,997,
215,026,031,355,795,580,084,311,277,034,034,348,469,915,235,061,213,875,406,
291,351,804,729,720,253,296,387,084,786,708,033,495,697,078,666,621,239,050,
060,852,516,059,552,906,172,431,418,108,526,806,540,449,151,468,857,579,923,
638,008,404,688,956,708,578,257,996,234,864,868,565,202,229,266,874,691,171,
509,545,222,008,235,901,716,112,828,774,859,150,670,790,338,245,737,885,437,
261,945,729,860,114,877,948,482,262,044,486,705,924,067,775,180,359,494,533,
439,690,564,488,306,469,370,274,037,779,841,309,071,848,375,086,406,669,468,
255,313,477,031,160,959,700,060,076,529,611,341,558,780,703,879,131,388,890,
110,658,922,816,605,490,688,176,184,949,203,147,256,194,244,457,988,164,406,
530,277,564,014,123,368,433,734,121,982,223,747,581,399,286,222,735,745,481,
696,583,898,524,508,111,384,629,861,397,235,398,233,647,963,453,073,803,799,
699,049,132,859,846,235,444,377,032,265,757,318,963,097,138,999,314,410,241,
215,119,521,388,415,579,410,708,324,101,334,692,124,781,613,845,761,843,907,
283,446,269,709,893,630,980,128,842,126,414,476,667,310,772,325,631,311,881,
805,407,280,905,707,117,867,673,389,696,414,375,611,369,205,491,281,666,223,
397,345,099,886,111,032,232,368,445,402,374,217,297,750,971,071,933,114,711,
477,247,505,384,247,756,346,576,439,517,850,607,298,358,454,571,427,711,482,
651,271,869,508,627,164,695,007,032,282,537,389,893,272,651,552,077,788,700,
630,621,681,183,883,366,267,802,198,021,353,906,280,016,029,799,562,173,019,
413,239,705,286,796,452,119,712,684,805,821,301,044,882,805,409,876,246,960,
648,963,740,212,078,423,935,879,166,348,657,198,962,683,755,375,057,199,059,
115,530,950,480,725,464,660,969,416,977,949,299,435,474,920,729,608,620,463,
242,662,142,159,963,632,130,016,721,211,157,655,859,502,449,161,172,300,865,
235,590,802,207,146,263,561,803,571,806,339,728,094,122,779,262,355,616,464,
068,459,043,493,813,686,539,482,159,386,809,323,348,122,242,895,277,474,785,
512,343,863,952,636,376,123,919,186,426,386,427,697,990,787,359,705,272,466,
535,939,011,584,721,898,870,117,729,449,070,775,721,696,580,476,027,684,769,
335,988,599,577,480,082,576,718,943,850,176,778,038,657,811,351,224,036,441,
339,938,440,771,197,251,599,995,192,452,452,756,630,667,340,638,954,124,630,
100,597,043,027,026,091,116,216,551,252,159,508,225,401,989,989,631,249,503,
548,089,577,582,300,605,981,118,287,737,669,514,558,773,457,770,712,713,127,
962,678,166,285,299,917,558,567,014,023,228,853,876,058,922,828,715,896,241,
563,095,316,611,771,057,102,177,360,956,358,877,954,931,636,435,925,692,634,
298,239,764,285,692,816,294,901,040,559,159,917,489,734,973,710,787,195,175,
830,806,981,076,936,747,346,308,937,280,889,903,155,602,804,578,151,422,850,
198,616,128,560,759,162,362,384,993,978,936,190,940,624,238,552,581,864,804,
320,264,937,067,273,541,107,711,677,783,292,827,750,751,914,170,219,303,720,
951,027,354,080,839,529,227,228,458,599,285,531,296,222,112,481,883,571,899,
113,882,700,099,366,483,024,827,725,688,044,349,191,162,434,522,336,039,616,
967,652,287,287,989,677,975,937,498,788,906,177,777,843,541,183,289,835,442,
207,725,901,338,448,633,473,237,111,712,897,782,494,860,088,895,801,326,697,
963,509,425,505,695,843,162,158,168,492,694,455,997,320,827,996,090,060,161,
476,261,229,640,371,299,008,668,606,199,151,934,219,574,602,829,709,789,178,
930,998,028,238,569,590,635,647,539,440,852,966,111,080,564,264,513,890,297,
570,156,007,476,004,355,599,723,614,381,746,843,793,843,836,757,292,881,538,
475,910,835,847,676,696,234,955,487,157,980,800,213,383,790,124,382,993,766,
267,259,915,554,581,962,158,598,646,202,319,876,409,308,033,989,915,169,576,
751,180,695,068,284,486,620,854,680,824,535,984,408,032,647,700,006,996,736,
357,253,041,791,239,335,571,346,857,533,858,254,375,530,647,005,095,350,057,
000,003,469,744,064,930,429,454,798,781,926,192,706,235,790,335,429,657,581,
093,958,914,780,246,913,891,029,540,191,073,378,217,493,671,309,872,572,397,
150,326,771,864,598,721,733,755,058,451,122,315,029,469,627,360,439,907,191,
079,089,246,817,170,747,603,206,565,519,410,604,306,011,234,923,001,929,711,
681,839,228,788,974,438,789,063,052,985,964,003,773,767,391,007,176,062,691,
835,435,783,066,581,907,367,378,080,710,278,658,066,332,804,191,519,847,112,
750,523,710,576,895,165,593,206,759,085,287,916,355,523,693,439,555,811,346,
165,295,495,078,628,090,959,745,405,989,081,424,947,059,210,319,174,618,259,
442,939,532,070,064,038,672,113,166,309,339,246,331,772,428,045,233,985,403,
231,039,254,076,216,707,279,374,048,805,540,594,763,114,579,195,890,323,301,
674,017,399,245,854,692,302,375,749,820,904,830,428,557,033,116,373,365,611,
829,417,318,280,035,179,603,478,309,304,289,041,293,631,696,343,874,148,660,
744,329,358,708,901,401,218,323,491,083,169,622,011,491,273,080,302,304,928,
900,719,894,226,925,099,362,196,584,614,447,440,608,244,326,791,985,930,053,
573,292,000,774,417,993,364,210,593,850,500,153,499,028,354,957,750,743,721,
443,187,884,876,392,937,886,984,727,134,811,294,687,043,415,218,033,922,066,
126,329,992,498,017,467,170,807,474,584,880,102,625,995,908,057,313,275,527,
259,906,862,114,722,884,365,540,024,136,022,278,126,247,669,792,314,148,526,
392,098,827,428,368,563,908,350,193,353,564,802,661,166,805,082,244,562,893,
313,718,469,001,279,950,832,005,717,031,121,912,126,391,218,509,111,640,345,
006,599,700,509,834,122,768,159,799,349,815,337,145,571,054,491,714,572,312,
715,239,823,895,475,416,053,273,949,318,226,892,800,843,957,182,420,846,405,
782,437,375,075,184,030,786,243,871,465,097,271,353,990,949,399,595,796,016,
353,087,281,851,465,455,998,687,546,990,564,673,760,331,788,922,322,593,978,
054,524,365,282,509,672,097,439,889,507,157,142,001,660,680,957,868,303,725,
163,142,071,901,592,448,381,539,414,085,046,259,353,077,443,452,272,689,936,
934,998,081,039,869,865,480,306,473,946,703,038,473,931,427,967,397,098,768,
374,901,892,731,848,994,264,019,333,537,925,518,167,488,508,699,674,892,813,
726,461,363,250,182,363,604,583,995,167,814,313,189,207,564,109,537,021,999,
793,708,728,515,053,817,823,511,359,904,392,030,698,113,206,940,193,252,164,
616,664,047,471,975,865,142,775,209,575,392,846,494,992,785,331,051,335,100,
977,230,251,982,226,667,787,803,399,077,425,105,045,033,252,707,924,139,472,
280,035,778,403,253,628,917,821,003,686,384,038,363,790,671,758,402,666,778,
375,656,052,026,793,626,324,558,322,919,377,549,709,781,052,089,879,550,652,
879,869,382,807,445,745,183,277,109,243,153,312,314,377,014,541,023,441,400,
962,673,325,258,877,917,816,014,168,034,257,996,687,238,797,604,590,815,965,
777,284,535,977,097,627,649,736,172,767,334,259,654,799,894,606,900,886,626,
928,794,602,054,677,760,016,713,441,600,246,567,958,652,191,506,164,106,208,
420,877,349,629,738,966,878,264,772,436,219,532,626,010,574,334,766,412,380,
499,213,730,926,466,495,447,633,665,043,187,462,943,872,418,607,972,496,886,
787,795,227,829,263,838,482,526,965,790,075,115,031,906,786,687,956,463,455,
418,901,578,867,049,118,767,518,317,209,011,902,224,835,947,922,552,987,258,
749,887,672,727,024,536,609,563,791,612,794,162,109,980,014,525,774,780,450,
532,330,578,853,698,395,331,179,253,335,706,314,055,741,695,655,015,263,617,
309,368,863,187,474,868,313,982,914,988,393,576,825,753,941,004,808,416,459,
154,660,912,754,448,739,825,210,505,710,991,929,939,211,477,394,340,236,215,
311,149,578,785,711,661,650,211,275,791,264,756,196,956,264,728,076,236,963,
390,666,630,546,608,023,513,248,796,443,869,095,569,592,947,268,422,796,535,
977,992,554,583,363,205,615,486,064,738,479,779,750,488,404,550,119,763,541,
560,816,506,014,152,151,937,746,233,274,410,582,431,077,094,076,100,286,100,
833,906,536,580,213,086,212,882,286,054,621,491,283,192,020,270,907,621,287,
868,165,202,486,552,927,280,386,167,142,819,472,169,195,246,297,076,719,129,
822,537,482,199,982,523,426,328,651,708,782,858,302,207,032,788,255,782,936,
598,288,019,459,181,216,507,795,237,457,953,433,378,774,753,307,607,991,644,
074,004,441,597,011,290,724,047,922,063,370,125,232,436,256,152,402,354,651,
804,042,370,565,134,016,752,110,394,152,853,605,154,587,724,673,660,030,567,
876,470,907,800,551,895,437,744,893,143,401,440,113,318,205,589,552,472,392,
010,129,048,354,520,833,946,723,187,585,789,519,726,422,224,109,593,900,776,
302,560,375,717,890,342,877,614,945,756,495,939,503,630,693,911,554,121,411,
331,941,671,027,062,053,650,976,640,558,408,085,961,997,868,400,551,487,089,
932,575,440,667,410,678,299,824,461,156,909,154,579,123,029,863,989,340,415,
472,822,225,513,131,420,109,816,049,709,891,555,658,633,450,270,825,755,402,
440,209,078,166,054,213,968,956,767,726,602,592,904,330,996,634,596,142,204,
925,041,549,746,010,798,190,590,810,615,062,137,508,090,827,427,075,032,349,
066,270,858,779,325,376,340,507,777,828,467,481,189,644,267,022,964,446,776,
570,450,477,732,677,641,748,710,332,663,606,965,804,114,634,780,201,547,588,
665,963,709,976,544,027,340,236,443,606,986,373,377,115,166,503,849,935,677,
656,855,956,541,934,612,566,928,476,311,443,038,615,838,266,507,498,135,508,
039,608,364,303,953,342,629,554,330,927,985,646,476,768,826,630,013,438,764,
504,071,661,210,493,346,303,753,480,209,881,832,463,580,729,427,994,567,228,
005,238,757,244,583,805,195,959,884,638,974,127,263,639,427,192,921,513,775,
723,421,513,466,308,438,037,776,636,155,704,404,214,267,758,294,464,219,187,
578,278,495,538,701,354,354,965,305,583,760,557,609,136,324,757,552,345,362,
946,595,594,666,659,923,258,744,852,818,051,242,461,615,256,748,253,401,995,
340,779,617,814,790,345,827,728,069,666,253,641,411,126,763,856,380,639,703,
945,545,263,967,297,305,256,946,571,838,712,039,244,117,404,683,040,862,164,
336,034,232,668,696,206,650,978,603,401,639,103,607,739,102,952,256,416,728,
690,018,491,930,476,441,985,274,134,951,709,742,212,151,723,902,488,330,314,
183,211,980,735,186,816,596,049,533,694,822,103,482,089,226,313,000,172,442,
486,554,196,809,470,995,145,039,611,812,926,176,946,906,684,570,821,450,483,
997,936,753,041,199,241,756,600,600,154,106,497,222,734,073,414,749,564,203,
448,977,030,735,374,850,986,185,186,966,516,738,464,937,067,652,481,617,464,
942,935,225,016,042,941,574,962,488,505,764,620,297,931,236,982,878,407,741,
019,206,462,541,677,577,436,412,271,885,294,746,134,065,522,401,010,741,413,
627,167,756,121,751,768,331,617,497,311,901,194,182,558,796,587,936,262,989,
670,635,734,112,513,121,429,728,214,298,945,676,139,708,304,721,298,233,246,
426,727,871,075,538,935,459,352,975,294,578,400,228,112,792,525,054,207,990,
115,637,020,276,987,660,253,358,651,231,096,072,564,024,262,841,782,643,565,
028,521,532,797,665,859,818,011,360,188,695,990,020,190,272,158,221,599,102,
939,058,256,822,545,422,685,285,786,159,569,174,180,272,562,518,277,710,658,
668,880,736,740,517,908,646,000,716,418,830,354,766,186,393,591,569,820,066,
224,852,406,823,464,429,698,026,474,741,442,041,463,802,871,302,844,488,763,
640,796,597,135,178,329,749,309,609,708,266,177,745,383,017,600,742,320,132,
246,438,506,361,114,325,725,112,407,715,952,412,487,718,697,881,500,033,267,
361,203,870,014,051,621,322,846,829,454,551,812,303,987,841,080,605,988,622,
989,525,147,991,243,244,421,588,818,277,845,859,030,285,509,087,556,662,360,
325,227,832,419,864,560,880,960,028,858,498,615,018,041,425,901,629,635,021,
017,197,903,823,721,648,920,332,475,887,934,674,958,995,820,634,956,472,863,
542,022,287,513,171,646,912,686,149,658,862,370,591,223,751,607,274,647,811,
455,962,186,370,310,993,181,844,485,832,196,492,514,152,420,221,149,342,596,
516,378,955,999,944,620,898,691,248,955,783,684,919,337,451,651,726,227,216,
960,778,349,132,508,221,279,628,840,624,837,139,048,346,684,634,115,916,130,
190,926,275,088,128,212,944,465,360,870,744,327,628,094,570,701,702,777,092,
578,594,372,734,636,230,643,166,164,438,396,290,557,749,138,651,842,791,007,
298,256,123,382,786,134,258,776,384,812,555,057,680,301,071,920,222,050,949,
460,830,073,678,977,750,659,236,371,809,721,427,887,225,107,974,469,655,278,
344,472,773,824,832,025,524,634,279,280,059,817,286,891,486,635,698,905,453,
269,069,647,408,808,844,539,404,065,776,348,555,402,899,145,553,464,299,857,
262,684,112,103,837,979,452,879,255,065,672,458,220,934,331,439,897,151,532,
004,803,070,193,419,007,669,389,883,716,434,326,882,053,670,026,410,160,034,
948,512,426,659,801,041,803,004,238,574,120,201,726,718,546,182,164,098,665,
886,752,742,148,053,983,131,975,968,818,374,937,659,320,438,122,506,007,769,
671,287,505,675,232,971,161,545,969,844,512,588,635,971,387,625,361,359,671,
201,532,827,463,711,538,423,507,400,069,686,504,616,786,834,304,886,960,324,
946,942,449,362,792,612,699,479,954,824,492,742,749,742,248,324,955,231,696,
564,046,394,380,143,684,803,553,480,540,607,741,394,118,011,314,601,447,633,
936,004,485,911,137,930,331,225,271,309,305,398,216,606,828,095,460,205,733,
795,692,590,545,918,466,878,354,751,671,064,449,951,406,971,438,220,546,388,
469,599,620,456,363,178,366,174,614,182,766,731,679,914,019,386,702,487,251,
856,748,516,208,655,294,737,198,177,862,264,027,520,933,650,232,225,057,065,
656,713,091,220,163,667,365,467,520,756,797,985,783,981,292,581,510,331,701,
699,611,764,159,745,221,208,465,633,838,778,446,131,850,118,845,863,459,879,
406,576,836,605,050,215,405,119,647,599,549,490,298,719,519,706,290,094,491,
991,567,761,653,677,511,842,391,952,593,155,774,027,285,587,993,823,973,875,
104,508,013,892,696,660,470,076,748,075,959,745,973,720,815,386,389,505,517,
122,950,448,813,009,392,190,016,379,485,448,837,390,161,431,799,052,648,791,
021,804,063,783,261,840,071,841,340,925,249,242,435,901,388,467,764,075,446,
516,650,405,529,270,632,409,028,184,014,554,313,413,402,072,782,662,551,079,
109,873,101,454,671,450,838,551,153,791,667,311,893,963,772,869,400,170,947,
824,875,359,541,393,399,908,340,406,116,597,123,035,989,043,902,727,466,678,
081,186,279,577,196,814,700,187,568,246,746,118,509,360,316,557,925,440,769,
946,023,721,390,904,639,481,625,682,413,736,639,614,763,374,133,640,748,798,
158,700,624,027,978,205,801,837,672,537,159,657,501,355,394,968,664,557,227,
942,943,616,754,349,004,634,598,349,666,135,450,306,274,826,033,581,707,336,
508,671,406,997,073,056,869,775,931,973,318,172,834,656,017,290,042,894,118,
693,260,904,267,636,594,171,158,899,342,402,745,948,501,530,669,064,908,145,
581,370,595,232,767,224,522,544,043,938,033,076,102,787,655,185,388,619,346,
108,900,704,582,096,575,508,751,742,153,689,386,665,869,782,055,139,226,388,
213,984,516,034,089,252,711,251,912,264,318,183,958,126,000,257,615,365,445,
103,547,677,607,847,480,706,724,462,009,788,078,731,639,068,639,889,712,830,
021,441,761,856,865,025,631,375,942,358,370,572,631,536,800,981,836,743,642,
673,811,882,620,801,345,889,272,039,588,194,587,703,074,216,867,492,446,383,
832,237,957,214,897,381,264,026,341,136,903,368,696,982,774,112,625,260,170,
994,951,169,967,593,960,789,844,451,317,343,913,349,123,451,295,919,494,113,
174,536,201,964,379,839,926,832,684,225,757,965,480,449,980,301,017,056,970,
576,906,835,906,708,210,214,564,584,215,182,734,798,876,485,990,714,065,853,
644,689,437,624,055,869,419,428,143,244,324,595,777,021,226,164,837,595,212,
085,833,932,756,739,796,861,539,301,763,914,617,046,515,936,239,161,155,950,
504,216,521,823,093,559,490,286,343,679,352,972,263,878,775,280,547,430,969,
472,938,266,480,224,862,939,445,484,177,011,713,998,878,210,601,076,248,739,
533,302,279,796,707,602,153,782,899,332,833,999,906,709,908,649,253,654,003,
940,725,774,321,623,507,866,482,219,767,871,236,098,086,680,535,871,604,722,
209,093,047,740,417,917,147,818,298,100,079,091,754,028,293,707,629,313,356,
507,170,627,880,972,098,694,012,933,948,117,844,518,197,384,776,264,824,511,
273,390,006,294,872,055,395,542,429,337,720,528,735,282,499,594,381,556,934,
570,703,730,155,867,230,425,595,295,471,905,161,872,166,234,286,132,370,702,
215,954,664,025,474,683,495,622,306,722,892,172,419,526,303,203,434,239,731,
500,778,230,775,000,279,990,292,006,511,900,633,321,001,364,642,211,112,108,
139,120,115,610,928,853,140,166,356,488,958,128,143,179,116,658,667,720,639,
186,397,971,219,703,912,881,446,562,360,817,837,729,963,872,426,161,913,905,
040,466,662,183,823,222,408,795,437,224,229,292,107,047,262,433,711,993,993,
942,369,763,951,752,637,036,428,462,071,730,815,892,228,328,560,710,770,873,
493,002,434,938,757,250,706,918,538,934,432,755,337,716,006,334,498,800,101,
058,414,921,945,673,950,360,638,214,526,542,616,386,532,284,815,375,772,793,
201,836,448,039,131,177,026,982,891,454,523,419,647,817,817,915,577,213,664,
452,640,493,549,693,630,600,876,453,100,805,640,735,560,819,926,776,582,470,
178,034,647,768,064,729,014,498,996,973,674,286,488,387,363,348,401,060,829,
024,165,743,072,120,370,274,643,930,430,860,914,114,908,622,599,311,518,454,
932,952,674,117,979,984,561,889,446,198,063,591,293,245,063,533,900,368,167,
164,461,021,580,571,518,779,668,777,219,438,053,233,044,395,523,050,282,896,
467,138,469,718,628,639,527,085,408,227,610,837,966,865,017,025,201,174,590,
172,755,532,806,515,733,993,945,731,114,916,436,743,498,313,822,050,754,183,
012,744,214,789,161,449,993,589,717,360,741,678,255,457,955,508,377,653,333,
937,093,749,245,713,260,812,344,171,601,644,693,239,531,340,273,359,284,627,
278,106,972,674,896,390,732,568,801,164,925,456,714,541,422,885,564,257,269,
420,623,914,426,246,722,487,295,746,185,264,974,086,144,160,342,816,799,183,
037,461,511,049,605,084,499,672,073,685,553,714,753,254,371,355,793,879,074,
741,283,820,492,970,084,840,511,827,480,684,027,192,569,628,873,162,827,178,
463,905,746,659,975,915,909,798,122,015,113,313,472,779,117,488,619,396,759,
683,983,970,767,468,160,236,965,693,165,330,475,404,113,359,165,163,533,890,
048,832,680,222,129,833,041,303,632,914,559,970,860,361,688,078,097,149,245,
284,393,802,128,336,421,078,136,643,855,431,245,502,395,412,823,818,532,202,
428,299,487,429,158,383,425,736,636,844,487,196,417,099,052,194,332,210,058,
555,552,389,783,703,315,144,789,404,481,449,755,440,160,052,061,386,624,539,
118,132,912,007,064,847,066,794,029,307,010,570,758,606,356,866,825,496,616,
711,304,041,879,029,826,665,409,696,014,292,938,466,408,637,144,350,525,048,
380,593,600,071,269,451,379,380,309,478,705,206,814,360,133,597,190,783,284,
650,966,872,173,172,999,778,423,936,400,068,505,802,884,904,524,851,410,866,
689,848,315,736,025,651,837,596,539,727,082,661,742,643,609,616,524,136,319,
818,250,052,820,409,768,527,705,499,738,888,921,180,408,235,288,855,335,353,
440,258,944,033,200,999,029,049,487,655,290,414,661,299,616,598,301,927,462,
450,545,166,431,664,733,585,764,582,744,837,747,432,859,447,314,938,723,789,
166,012,075,704,167,124,679,135,510,915,061,528,000,269,086,483,998,622,961,
956,967,353,244,266,579,799,470,140,564,894,202,789,058,440,102,684,570,005,
566,968,166,158,549,011,988,221,749,282,441,043,041,768,815,119,503,558,971,
114,450,720,272,326,581,072,776,426,429,093,366,324,641,213,485,863,916,568,
422,897,682,615,978,881,922,041,782,452,797,724,126,739,887,672,614,465,674,
571,066,048,846,552,737,530,888,206,164,303,415,655,968,808,517,591,192,102,
100,502,881,248,564,922,286,490,063,167,246,454,059,967,822,585,611,715,769,
411,496,720,595,794,283,165,795,380,744,583,448,126,392,374,473,670,963,510,
993,402,906,800,976,039,148,405,464,667,912,981,138,125,094,129,286,140,207,
088,179,895,660,258,422,837,455,673,225,938,010,353,431,622,873,850,250,254,
622,311,284,209,141,538,875,203,718,446,002,357,271,705,739,026,594,413,964,
412,515,832,500,567,908,810,796,512,244,625,002,600,243,799,070,123,369,984,
007,481,737,013,467,185,559,158,296,086,871,105,776,843,832,476,444,335,184,
685,029,191,380,502,919,260,862,533,955,593,453,249,643,772,036,742,692,751,
130,984,086,408,412,486,337,000,137,507,386,566,211,712,372,842,947,442,374,
954,893,192,034,894,434,865,189,536,848,221,428,845,265,837,560,485,880,283,
008,163,102,805,547,888,711,278,496,793,383,421,606,799,848,440,815,887,681,
442,601,898,810,528,144,971,388,090,165,228,745,927,960,115,843,823,386,025,
837,900,060,745,779,057,574,459,206,642,389,878,864,009,824,327,326,731,719,
920,964,210,591,630,472,542,114,017,487,231,738,033,935,144,581,060,687,068,
728,660,388,336,005,179,693,139,665,597,886,587,600,072,103,597,227,162,771,
690,617,043,110,356,711,141,282,058,076,407,925,743,915,226,373,267,750,266,
795,320,913,111,766,318,880,430,275,366,271,361,646,941,363,982,776,587,248,
249,322,037,540,140,880,467,401,536,233,123,525,863,365,414,545,564,114,379,
467,273,681,211,343,406,762,012,967,141,101,961,102,142,617,396,974,584,082,
925,667,767,617,952,279,396,653,339,424,927,020,445,059,407,790,271,236,605,
161,254,091,245,271,627,190,521,166,438,069,870,487,806,916,490,897,298,833,
792,368,320,075,215,247,106,126,905,351,695,845,740,435,253,760,655,094,739,
657,300,284,856,549,866,616,321,322,824,179,574,896,190,403,199,896,769,352,
610,231,558,856,155,791,019,151,081,991,733,367,568,350,788,818,623,916,543,
086,815,352,124,300,557,347,288,026,182,690,827,848,060,187,798,241,821,751,
033,573,699,895,791,189,759,463,109,736,503,272,473,521,568,929,932,042,659,
780,014,215,545,855,924,866,830,758,587,222,128,755,887,025,327,759,340,080,
718,896,899,848,247,964,659,124,389,645,596,979,020,666,353,355,215,831,922,
538,719,237,100,449,957,897,653,562,006,446,337,764,723,393,141,865,252,833,
093,447,295,611,298,561,049,360,519,893,282,573,331,273,563,657,286,493,859,
367,368,147,610,504,542,257,154,189,040,534,923,842,718,626,594,895,549,583,
876,607,026,165,145,359,800,920,931,712,434,431,377,167,826,493,061,376,240,
699,111,856,177,721,563,346,348,575,179,853,757,524,997,921,181,581,496,234,
366,988,584,270,600,341,092,327,156,735,217,980,369,638,474,930,633,698,027,
453,577,665,069,946,828,316,380,326,724,905,845,481,811,755,247,950,210,623,
942,985,029,551,332,820,822,748,014,863,768,531,293,337,611,096,125,428,109,
464,487,557,702,941,207,177,207,621,978,187,049,392,375,013,327,430,634,851,
961,345,222,525,020,152,328,544,939,106,153,822,517,220,339,675,688,254,446,
943,705,946,728,728,959,529,854,307,547,033,591,373,665,819,586,603,861,345,
191,624,342,340,406,062,651,409,089,655,989,680,790,560,472,440,834,253,807,
451,540,127,703,295,225,861,148,646,266,498,946,552,982,380,292,005,348,314,
387,728,258,736,808,516,027,116,092,660,677,573,332,831,629,265,282,353,902,
107,288,642,224,217,264,231,103,870,698,193,262,221,261,913,370,747,987,202,
698,945,220,434,840,116,452,691,680,067,316,160,204,763,457,505,955,085,720,
678,839,907,114,704,006,088,822,431,591,597,797,261,458,278,053,855,870,643,
185,912,067,017,470,555,377,169,014,316,403,806,870,745,430,342,762,226,337,
606,579,022,110,155,712,796,981,038,098,504,117,756,325,289,677,846,796,338,
277,640,502,033,122,190,530,240,637,785,091,246,307,564,987,401,840,219,000,
607,952,265,128,604,512,934,746,676,864,016,414,979,482,901,667,221,000,590,
415,367,357,337,259,550,524,538,533,534,904,806,917,327,927,171,642,301,218,
392,798,314,147,899,052,925,827,373,567,511,966,756,228,343,071,489,591,727,
157,467,601,756,227,543,899,864,605,886,848,107,846,386,786,252,882,908,005,
964,018,205,892,336,382,405,482,888,939,160,586,397,383,935,384,915,993,071,
316,663,069,602,171,558,272,271,237,797,672,763,753,431,780,934,573,928,085,
686,808,325,441,433,688,496,791,284,381,152,782,467,312,675,234,606,322,033,
845,951,026,992,621,854,711,492,040,632,507,055,108,336,026,916,514,630,318,
083,661,620,195,934,515,571,135,225,907,535,015,534,584,337,647,035,107,457,
810,365,028,087,758,792,075,115,219,278,312,970,373,180,186,580,991,720,696,
334,654,801,266,763,689,026,091,195,471,633,723,336,370,555,571,466,585,977,
733,151,029,678,216,052,437,936,101,135,812,952,018,641,382,713,267,349,024,
119,302,135,537,218,546,147,064,877,262,468,442,357,896,162,668,530,272,057,
504,867,453,884,976,490,689,332,126,919,752,144,835,154,462,805,515,820,865,
889,822,490,070,168,636,328,719,233,552,215,716,497,889,441,624,205,937,272,
423,614,540,799,863,774,457,157,576,699,867,679,489,759,275,957,422,507,404,
053,249,609,139,038,899,023,668,587,466,122,079,194,394,576,848,439,095,229,
526,991,881,658,307,408,799,502,834,572,413,258,729,863,566,385,201,857,312,
710,857,200,104,911,082,949,521,522,382,924,094,712,140,136,924,106,486,302,
332,380,323,040,832,087,780,107,513,071,204,670,106,902,130,913,212,428,695,
109,225,272,934,356,198,833,145,738,035,981,325,448,871,607,136,517,388,214,
547,458,999,913,574,680,719,137,039,983,219,531,677,378,268,317,528,357,549,
255,035,731,806,480,234,818,347,158,539,822,423,358,056,463,966,623,643,263,
064,406,379,679,062,900,529,300,781,109,256,327,489,465,050,171,199,315,014,
858,172,140,687,240,399,896,555,853,177,451,393,158,274,064,858,640,054,404,
267,542,549,951,220,709,198,028,642,785,903,361,375,253,749,346,774,809,431,
520,728,829,946,281,921,244,098,079,172,039,992,851,129,281,452,060,295,179,
459,432,759,648,325,678,358,615,263,523,141,725,950,286,693,617,016,734,491,
819,216,856,583,268,872,661,727,456,322,946,510,999,868,365,398,701,207,043,
197,519,149,736,892,830,536,170,124,370,918,119,381,164,090,236,431,108,081,
036,267,895,508,234,438,369,945,316,250,975,994,198,354,657,590,642,943,029,
989,802,490,344,949,530,957,598,510,632,743,377,452,920,648,229,869,645,828,
737,098,962,971,151,721,715,900,402,855,240,580,064,993,459,386,550,590,136,
648,490,023,639,498,283,445,697,486,717,350,843,489,744,617,835,371,973,425,
852,370,329,038,968,373,032,799,262,547,473,869,918,054,349,703,508,247,755,
018,356,598,764,095,074,546,805,836,278,148,511,857,511,518,058,232,439,328,
207,901,893,365,105,967,748,299,197,849,103,410,325,824,996,042,971,721,729,
922,618,649,654,443,960,444,195,660,532,292,142,304,398,485,375,609,582,533,
310,318,186,480,827,784,948,428,016,916,491,971,086,575,436,330,172,609,103,
795,539,695,812,259,668,322,018,811,144,579,594,481,485,843,336,434,948,364,
911,627,759,072,145,992,441,675,100,210,875,405,878,236,812,498,268,295,009,
586,557,654,537,617,385,247,140,743,486,698,880,535,526,156,609,748,019,780,
681,017,488,889,081,292,541,932,898,221,456,223,979,058,197,223,891,835,719,
714,178,676,877,667,579,339,432,217,034,686,397,543,349,781,039,891,547,731,
366,441,480,076,565,101,335,922,283,971,740,398,423,063,546,479,138,268,992,
808,613,789,562,675,730,156,241,023,658,390,212,608,995,541,536,794,940,662,
394,270,883,954,370,626,913,138,083,717,380,990,097,276,003,533,378,058,380,
344,378,612,412,227,063,959,031,408,716,019,657,842,569,906,600,831,775,816,
022,421,072,138,426,384,408,885,226,777,399,962,679,569,053,559,454,517,253,
803,667,691,631,948,548,280,707,021,063,159,857,937,586,588,038,039,082,257,
101,937,728,461,841,069,531,727,338,869,136,130,892,942,536,795,846,622,643,
285,547,132,004,884,282,170,118,817,279,654,837,702,932,386,185,983,866,700,
528,123,833,208,137,947,315,799,662,109,910,619,433,058,115,175,546,230,919,
406,512,967,538,216,524,768,819,403,606,969,091,848,050,934,825,265,979,071,
267,232,771,342,292,398,857,282,416,646,166,572,544,218,863,248,676,580,706,
659,327,064,102,494,068,432,708,728,749,896,722,272,342,853,541,077,250,056,
401,313,107,507,438,516,599,467,200,310,385,284,466,352,572,908,512,572,655,
268,447,072,907,168,331,652,469,535,308,266,932,866,173,537,152,915,977,898,
661,609,169,375,352,297,701,554,567,793,124,247,962,896,227,564,723,429,413,
852,100,100,388,467,880,396,410,997,932,862,864,977,566,262,401,136,847,037,
443,141,128,916,840,082,998,550,345,374,719,277,970,729,519,224,813,281,809,
321,694,142,890,210,178,641,487,517,132,716,638,584,887,055,276,840,810,331,
568,769,578,195,262,114,829,496,521,153,518,557,312,033,242,199,475,955,032,
348,109,844,204,644,137,649,085,977,790,155,648,746,115,254,782,576,721,611,
366,390,497,314,412,593,999,922,346,972,724,592,118,880,450,393,167,316,112,
799,902,528,676,761,237,750,620,777,109,057,442,629,996,919,626,441,414,024,
346,673,079,581,165,943,520,046,013,706,392,410,702,452,506,972,148,873,156,
765,786,774,632,145,304,010,020,462,637,939,076,193,222,502,831,419,006,396,
847,174,658,647,879,880,052,951,838,783,308,885,491,036,402,317,021,697,682,
377,139,516,675,357,758,287,641,482,434,933,636,891,495,476,160,706,827,835,
087,159,681,872,028,733,628,936,968,514,873,370,182,512,522,264,760,820,905,
599,667,480,550,282,097,819,271,518,208,605,886,767,438,020,222,778,264,271,
379,959,765,099,884,961,803,156,388,097,456,962,158,002,781,007,884,321,067,
414,791,550,134,411,891,837,834,173,661,754,091,969,418,173,145,311,795,889,
617,166,246,078,254,491,918,185,544,741,170,507,805,217,284,101,568,215,707,
389,657,913,558,416,562,273,093,802,149,844,636,795,678,187,427,730,796,498,
538,694,145,116,793,059,746,407,439,138,168,055,224,880,790,955,637,948,519,
952,740,471,623,522,107,104,876,729,195,852,484,007,752,406,515,431,410,599,
434,778,148,186,311,374,122,752,097,728,192,680,939,348,792,408,506,059,755,
718,977,711,171,606,823,570,413,161,125,338,726,445,534,738,214,274,268,889,
406,304,109,432,323,072,686,948,748,282,345,622,723,558,362,607,923,961,389,
111,508,956,506,963,126,127,009,417,122,344,649,059,977,225,241,846,277,702,
512,294,227,900,747,671,306,592,546,322,901,685,472,183,121,353,064,262,080,
810,676,575,734,220,852,303,338,137,231,867,586,369,996,975,668,765,476,989,
222,557,052,555,273,416,900,574,722,099,298,640,498,588,592,019,942,428,761,
692,826,488,077,975,206,291,669,914,531,114,829,500,036,440,320,704,302,936,
813,440,629,049,849,300,876,727,292,045,794,403,509,956,510,061,944,518,254,
276,254,104,152,980,360,050,806,988,363,184,655,246,493,745,495,014,786,612,
282,242,806,853,026,549,825,535,771,416,499,743,437,744,348,976,017,842,646,
761,584,322,574,799,736,598,892,050,377,362,431,557,535,411,769,190,241,395,
686,728,776,492,811,641,540,164,494,186,764,030,379,796,793,185,460,352,684,
562,891,310,055,818,378,526,858,479,687,658,277,507,509,032,060,067,427,596,
518,113,158,017,883,149,625,967,957,859,351,970,761,931,522,748,858,446,554,
034,736,195,227,584,741,791,573,445,241,784,820,944,619,892,725,336,065,228,
383,701,021,449,135,628,696,069,315,692,446,040,692,635,484,831,895,568,226,
505,546,605,617,657,076,309,079,203,860,112,058,259,729,459,351,655,740,060,
203,583,785,698,138,311,287,792,009,809,797,388,014,390,899,840,695,763,395,
164,878,908,397,864,439,511,293,175,603,593,868,712,153,718,447,896,243,979,
224,305,622,156,383,426,985,177,828,726,762,991,684,440,276,235,276,420,316,
547,363,559,054,826,367,875,355,232,584,724,647,124,591,785,463,643,128,338,
481,594,698,650,918,875,705,580,789,092,182,690,640,621,244,537,301,145,986,
911,987,031,776,375,676,690,601,384,627,095,082,901,333,712,862,910,186,852,
322,967,601,751,831,276,886,680,653,426,671,555,179,483,175,378,433,654,565,
916,987,462,277,886,377,214,683,790,463,399,819,569,688,697,946,027,153,074,
673,638,404,951,203,395,434,549,205,170,893,322,278,151,878,454,175,451,800,
252,773,191,923,994,542,886,497,534,022,952,111,214,226,166,675,686,355,274,
325,854,137,005,961,847,292,845,824,288,414,278,347,534,538,995,561,430,282,
212,938,217,419,731,818,445,343,350,241,601,973,845,909,871,330,277,967,038,
107,312,867,995,623,170,252,546,522,157,192,986,217,381,819,693,445,801,329,
892,609,887,828,300,687,400,165,751,557,674,241,247,464,683,001,764,035,152,
299,345,367,457,553,872,568,851,039,388,134,344,612,954,219,105,429,101,802,
114,422,615,584,930,360,169,685,165,544,063,616,750,755,350,215,341,379,078,
765,400,859,340,072,319,167,961,585,487,823,846,864,545,767,627,864,016,718,
000,248,742,462,581,230,115,005,154,752,363,460,605,968,972,187,368,462,354,
585,052,620,320,366,761,173,360,359,185,778,061,643,999,737,631,576,257,890,
136,365,925,242,529,328,297,548,696,746,076,272,025,410,449,561,240,456,185,
209,756,723,501,373,846,758,200,255,161,372,116,905,548,505,195,142,592,367,
155,312,121,767,400,969,699,369,190,072,077,906,847,795,083,908,702,603,586,
930,142,712,807,719,231,117,568,161,395,829,665,506,536,249,950,261,045,887,
450,969,186,051,172,995,484,265,729,514,410,801,833,198,659,089,471,728,700,
612,047,332,956,637,188,971,831,266,510,129,761,849,434,947,075,471,526,838,
639,848,020,767,373,328,475,575,077,670,255,570,588,495,395,184,875,643,619,
082,537,269,825,608,509,364,693,000,561,609,112,620,462,494,077,636,530,930,
823,365,884,284,877,378,074,131,630,089,900,778,477,950,779,270,970,996,386,
315,123,348,942,487,625,938,048,082,745,569,208,781,330,036,503,077,971,914,
017,698,774,452,896,200,797,021,582,209,146,972,737,107,445,109,774,770,372,
903,022,574,034,646,656,736,693,136,474,358,810,731,089,965,204,196,283,350,
661,398,845,665,110,651,117,258,645,095,855,040,193,814,478,894,660,118,506,
392,170,409,687,624,961,864,870,311,449,311,142,263,853,454,251,416,097,809,
123,042,982,050,705,317,533,032,313,554,167,248,582,843,138,806,046,492,034,
687,278,641,100,954,199,544,573,014,355,989,962,505,656,076,251,827,146,995,
836,711,594,416,505,082,933,808,957,233,168,468,616,667,796,176,755,040,571,
949,036,336,313,187,942,466,638,729,493,901,324,842,539,959,329,601,479,933,
533,111,067,078,805,185,539,952,751,621,351,864,688,401,159,044,684,544,729,
899,047,430,737,250,904,261,780,442,731,553,773,582,298,508,735,810,501,683,
963,001,030,080,190,146,392,401,920,697,184,617,164,010,595,809,435,889,611,
861,496,778,702,355,968,332,016,163,507,310,686,299,133,222,554,219,221,371,
340,134,828,683,177,242,675,778,962,882,954,252,756,251,079,646,072,841,732,
039,198,306,253,618,350,457,790,488,829,672,328,348,588,517,775,954,372,044,
550,515,478,260,277,861,843,460,647,145,055,826,392,313,305,344,640,242,083,
990,113,830,983,790,740,458,251,869,259,584,091,253,033,886,080,777,599,633,
351,632,060,772,386,746,429,827,759,579,997,552,509,492,730,424,335,761,124,
487,991,056,614,713,336,336,529,866,793,660,450,637,496,289,230,428,543,351,
567,734,472,207,805,501,510,612,326,666,396,486,673,923,277,891,292,908,146,
129,353,762,240,917,100,049,885,515,867,675,521,863,785,425,344,549,639,453,
547,169,613,949,443,438,792,386,038,879,010,063,508,389,064,662,415,890,325,
468,763,470,323,961,314,481,611,188,918,750,144,192,850,697,899,755,946,342,
051,072,339,024,312,628,479,827,697,412,798,604,783,242,715,920,349,977,870,
520,714,338,893,417,016,820,941,004,763,061,509,076,050,155,520,948,508,230,
806,509,658,276,152,065,249,960,624,686,661,829,189,622,220,711,116,995,351,
079,461,831,132,355,809,557,780,657,756,483,286,822,123,027,918,810,307,713,
502,396,284,877,246,986,758,350,820,424,652,638,514,729,429,080,359,862,167,
160,561,084,180,653,867,183,424,627,715,756,058,562,387,342,261,154,837,130,
083,705,655,976,737,969,989,345,298,671,698,861,630,683,233,176,369,815,090,
488,285,966,042,409,604,310,280,157,737,899,876,122,449,695,468,420,389,960,
469,501,189,125,167,665,050,039,611,108,929,156,539,279,373,325,322,437,016,
938,913,869,385,502,427,067,707,797,280,948,871,291,624,297,839,447,090,247,
943,209,911,627,732,691,223,168,123,000,048,175,525,696,847,880,489,793,200,
627,808,364,628,572,663,054,752,337,314,305,069,403,547,897,919,649,206,383,
192,784,097,887,673,489,168,436,627,954,052,720,767,166,366,080,182,093,687,
795,560,425,857,291,857,876,432,046,561,270,471,683,805,400,882,682,121,104,
893,531,972,188,256,491,168,925,044,604,353,407,510,551,429,466,145,686,198,
319,876,384,057,513,575,863,562,228,229,750,954,664,792,201,601,862,880,939,
176,339,047,888,562,075,084,034,265,301,829,125,065,656,497,295,535,078,151,
734,902,211,763,187,427,093,017,866,774,628,468,586,778,530,407,703,593,878,
469,797,718,290,110,166,186,843,374,307,221,743,527,720,066,192,611,953,069,
487,784,321,590,638,509,370,260,645,010,842,885,218,557,766,255,444,772,808,
361,505,673,849,859,699,710,382,779,489,510,900,836,144,701,621,262,418,951,
112,464,171,981,065,428,697,586,175,394,402,204,160,356,045,218,989,634,661,
633,867,798,284,395,995,921,644,615,829,154,287,091,562,870,458,245,811,618,
413,711,576,773,566,233,516,891,089,290,137,940,924,703,481,326,159,473,902,
947,415,344,531,806,526,638,690,678,416,336,413,208,414,116,273,003,445,207,
359,908,018,741,544,906,906,212,116,975,433,512,242,786,456,995,814,139,330,
004,706,812,733,164,501,630,616,854,249,040,012,373,620,749,805,358,541,855,
555,143,050,094,739,321,057,049,336,911,458,962,495,896,837,989,538,510,406,
184,203,788,135,518,027,498,621,080,069,567,187,719,846,601,082,046,178,334,
987,560,799,043,860,893,928,851,009,865,898,228,292,165,808,010,482,418,961,
624,445,519,101,247,131,607,997,664,095,858,670,577,888,929,627,785,080,575,
104,813,533,272,979,403,751,432,932,720,385,586,501,301,101,037,836,414,421,
364,020,209,688,225,863,851,487,258,691,813,381,508,752,887,998,282,751,540,
107,821,680,780,811,497,854,215,619,924,157,905,770,622,803,692,719,094,283,
971,386,040,424,820,504,335,481,896,944,540,309,565,416,322,096,233,502,361,
893,117,336,047,733,227,251,200,438,924,690,911,846,945,077,910,815,526,919,
448,756,644,332,199,231,002,790,674,513,043,837,539,031,493,225,662,173,261,
033,309,033,537,077,818,436,176,312,761,015,542,183,317,673,529,617,514,290,
730,696,554,315,141,986,589,590,685,790,549,654,000,364,016,453,789,014,457,
000,882,944,358,074,481,790,424,465,974,554,872,973,817,794,532,417,055,842,
136,837,179,470,856,913,206,660,747,314,756,202,702,743,240,889,021,687,778,
102,137,699,741,957,307,906,105,267,025,069,250,136,965,012,181,559,423,907,
219,011,267,076,300,299,710,883,323,747,931,262,499,438,433,894,136,022,196,
798,144,270,077,214,705,212,018,375,214,836,403,797,992,116,799,158,045,487,
812,908,961,900,845,196,362,902,706,860,945,379,841,671,291,826,946,812,025,
598,676,923,709,538,935,086,576,314,794,989,363,805,276,665,891,564,111,681,
977,323,581,583,506,092,436,905,513,104,362,282,048,986,792,879,537,341,807,
590,378,304,282,281,126,945,447,205,167,313,301,089,729,325,059,709,658,920,
414,726,911,765,492,904,910,394,998,905,240,228,280,961,275,382,532,336,503,
756,811,161,319,501,231,713,551,214,416,567,261,230,497,453,094,550,682,943,
928,672,563,856,564,230,260,757,232,535,791,282,891,160,870,871,445,331,612,
182,305,508,549,518,739,511,967,468,021,289,159,943,728,979,453,534,839,472,
955,536,998,926,789,605,243,690,914,070,054,848,461,381,884,308,099,869,870,
084,527,629,751,056,474,108,270,789,172,512,606,417,481,478,357,536,183,514,
358,548,513,244,823,435,000,763,633,575,172,008,024,334,313,529,608,708,671,
693,183,470,535,948,224,370,439,665,745,834,319,899,508,356,602,541,918,259,
833,952,757,263,489,912,128,459,975,747,953,546,589,090,608,259,200,415,984,
595,213,129,345,049,784,700,503,652,036,349,796,634,744,376,120,860,290,331,
697,975,999,500,598,466,797,454,067,193,934,054,469,187,641,218,076,404,716,
631,264,636,437,194,002,740,461,471,061,912,472,642,202,750,130,303,760,167,
913,813,147,438,892,995,689,145,323,302,225,029,180,180,170,549,645,617,105,
835,328,586,085,683,229,852,140,528,809,860,483,270,431,230,269,015,836,998,
691,515,644,472,197,939,965,710,860,545,146,161,994,749,025,707,788,793,767,
875,840,343,120,508,783,262,186,365,357,313,157,637,057,355,481,458,562,720,
730,882,427,972,286,165,575,101,961,314,689,467,387,336,415,214,033,477,167,
214,150,986,545,870,651,195,693,634,034,091,829,733,815,689,550,529,774,338,
641,624,608,058,407,361,916,293,813,879,555,631,081,047,750,071,150,712,450,
277,597,446,762,577,433,156,412,933,876,275,335,081,525,967,860,388,639,556,
926,972,440,817,085,429,644,725,635,935,647,771,810,323,781,341,363,168,223,
551,970,801,724,580,831,329,170,889,332,228,959,537,020,996,206,022,627,045,
449,292,337,123,785,504,766,740,656,521,953,703,383,418,027,404,501,859,186,
771,436,832,613,395,168,814,893,708,378,108,472,769,056,953,475,402,345,166,
145,961,508,282,092,908,081,525,490,240,061,504,605,599,163,354,241,406,390,
745,764,007,074,167,432,543,538,591,974,884,262,670,276,275,145,098,280,038,
664,418,418,349,994,324,766,684,220,826,233,106,940,027,525,480,770,516,612,
308,582,071,123,152,178,295,634,990,654,871,059,481,683,560,185,617,772,285,
174,712,004,152,051,713,631,194,494,660,735,325,483,760,743,087,025,015,902,
835,697,078,119,591,847,713,059,035,448,619,251,200,404,261,092,409,017,724,
121,977,057,200,926,313,215,840,673,814,164,124,615,141,433,813,902,153,105,
882,369,228,074,638,817,791,903,015,650,556,976,739,260,513,846,925,999,112,
866,426,120,185,348,328,402,489,116,246,713,825,203,494,726,424,085,553,923,
487,783,253,690,518,866,360,857,331,616,367,105,499,526,483,950,347,892,277,
613,203,406,752,297,580,383,762,024,183,381,512,563,952,378,605,332,652,342,
926,562,861,740,897,762,244,674,809,284,462,602,009,270,396,305,707,660,175,
340,534,196,935,399,702,329,642,174,434,913,868,284,448,577,725,888,954,275,
997,968,365,033,013,946,723,884,892,286,666,160,726,034,895,091,006,903,399,
086,183,912,210,452,242,287,364,974,592,690,486,387,316,229,750,118,161,641,
112,108,043,103,003,758,067,833,792,664,514,176,416,579,236,028,519,740,752,
909,963,283,389,259,671,558,177,302,656,003,895,659,287,557,721,029,916,068,
519,753,312,079,064,610,876,515,791,196,903,678,481,909,903,772,395,758,573,
582,479,294,226,413,617,684,505,925,839,173,630,840,622,454,518,518,503,539,
083,067,431,080,540,114,335,256,468,090,838,181,696,555,427,506,371,392,159,
830,462,748,258,423,448,355,667,634,232,699,017,497,346,272,947,593,240,193,
095,047,466,769,017,704,238,399,558,834,273,820,982,646,847,872,667,748,972,
544,596,227,308,470,413,604,070,008,977,928,748,916,559,597,578,520,678,205,
025,877,816,733,752,068,197,632,452,008,495,674,048,809,695,888,390,953,403,
028,738,522,117,804,906,731,126,419,344,430,755,238,056,165,308,522,317,313,
314,990,846,064,541,942,081,594,312,355,292,722,575,564,366,521,074,399,476,
176,828,445,659,025,292,640,002,880,230,313,564,410,993,688,863,671,518,983,
837,591,416,756,292,807,870,947,003,570,055,160,740,320,017,814,258,498,951,
045,349,924,183,924,818,895,557,010,404,897,965,659,504,924,708,353,405,368,
687,885,085,310,630,940,417,107,127,117,819,467,189,501,047,591,071,301,980,
098,803,807,237,819,323,579,715,036,070,588,821,359,660,394,615,343,054,442,
325,589,749,258,366,936,259,427,096,832,394,012,096,462,878,711,233,147,432,
631,848,563,124,846,971,233,772,782,136,512,465,620,374,848,366,371,333,499,
038,020,244,027,829,890,163,623,918,504,933,590,990,780,214,352,605,378,380,
456,607,113,769,315,298,383,637,354,777,564,027,298,302,141,586,143,866,367,
083,892,529,272,620,616,826,016,713,772,550,605,130,686,796,117,532,408,153,
376,378,785,281,360,313,932,548,497,677,334,397,374,821,367,141,763,926,301,
212,523,207,352,933,923,602,716,301,748,510,808,502,408,157,660,712,815,547,
147,027,141,302,984,971,286,246,847,438,024,919,325,702,538,352,561,979,593,
404,832,837,804,081,052,818,131,847,200,696,140,407,450,515,720,704,110,732,
299,476,572,314,730,285,097,952,167,962,322,061,526,653,924,836,845,972,060,
134,014,545,569,119,945,354,929,242,072,471,296,127,278,621,203,525,058,986,
520,433,692,991,802,941,467,714,559,952,396,575,569,487,920,434,439,941,450,
964,431,622,104,253,858,548,480,707,515,376,358,795,809,925,060,333,154,896,
454,218,350,222,369,352,583,316,153,303,338,257,817,369,664,396,616,794,149,
625,468,770,053,486,174,174,921,207,859,157,577,389,998,341,606,723,513,381,
623,789,464,611,683,615,517,045,514,714,403,825,502,743,739,303,616,956,884,
789,872,384,219,125,143,918,031,888,283,900,134,200,888,356,695,562,148,682,
792,907,358,280,711,827,854,655,438,607,827,768,311,125,593,736,024,011,802,
093,968,758,986,418,593,648,464,854,628,540,338,045,360,993,544,432,296,740,
889,966,361,562,359,137,129,315,898,465,740,027,607,828,190,886,780,615,507,
031,615,252,247,210,508,699,843,018,083,519,207,963,471,530,004,984,426,838,
555,940,599,907,432,966,683,363,870,574,590,162,604,695,829,405,028,849,166,
044,735,107,343,667,244,289,227,426,397,562,613,516,631,910,674,941,524,064,
122,016,786,631,415,355,430,121,496,506,376,446,848,665,241,590,757,313,824,
499,476,571,852,107,809,867,866,742,259,318,558,391,341,577,249,043,802,181,
569,296,461,180,555,412,556,917,713,116,571,672,832,094,670,303,726,344,630,
384,503,380,892,292,910,152,955,473,951,875,046,981,609,012,551,001,298,411,
908,078,962,808,076,085,494,555,604,433,860,062,491,227,668,101,782,908,269,
078,391,778,435,718,505,131,902,150,610,588,826,526,640,294,632,660,658,453,
803,165,001,176,064,399,695,459,446,481,736,208,303,446,847,685,548,630,911,
931,871,913,880,292,518,487,432,387,390,391,457,037,778,390,396,253,946,136,
500,360,702,760,697,155,567,894,545,049,148,433,378,083,438,638,307,091,362,
927,235,283,526,635,420,529,303,921,653,248,577,774,887,133,242,396,181,967,
808,892,727,302,475,816,548,799,696,243,710,678,649,952,798,067,871,455,297,
519,820,149,420,347,628,510,952,562,818,901,428,012,511,137,089,209,603,719,
897,263,371,445,876,551,242,633,323,285,796,157,881,626,508,009,570,550,650,
305,148,728,548,083,932,297,027,241,483,849,772,743,547,679,838,674,862,299,
711,058,278,342,609,351,120,284,899,510,748,736,498,300,906,683,987,136,330,
202,872,955,262,753,315,098,809,090,526,712,918,961,151,918,362,466,734,152,
402,720,764,054,501,625,384,313,489,908,134,727,914,372,332,849,876,745,328,
994,058,818,926,363,013,123,896,641,197,327,891,472,912,708,514,177,166,694,
515,860,998,896,710,101,029,644,391,306,311,653,821,415,211,081,748,145,487,
831,830,533,442,617,041,123,644,245,107,747,185,171,615,448,203,443,209,897,
838,512,204,885,932,979,040,410,336,860,595,688,078,231,682,004,654,635,561,
257,977,514,279,479,856,969,256,030,201,316,444,544,248,819,466,435,083,949,
689,640,227,856,325,666,342,929,811,053,591,767,908,377,305,225,091,312,061,
383,421,014,453,040,482,625,913,064,295,184,340,037,435,081,450,900,702,473,
794,476,504,940,580,794,295,827,820,865,331,129,594,790,102,324,134,630,128,
361,224,992,873,987,338,883,310,178,805,855,482,683,093,411,043,113,210,274,
779,556,851,788,001,344,067,833,460,836,099,873,330,191,176,042,729,362,561,
117,621,798,195,864,567,544,570,499,856,419,891,653,393,245,464,800,199,577,
925,443,604,235,028,890,210,351,544,682,337,804,768,831,968,763,489,361,555,
144,097,486,296,912,650,195,593,132,797,439,559,576,867,930,148,415,167,430,
562,044,166,696,328,318,165,366,884,174,026,132,888,170,388,086,408,861,653,
669,646,529,074,324,314,216,147,440,568,490,438,737,677,129,936,025,711,396,
578,138,603,063,570,394,649,527,916,228,061,642,563,222,336,023,925,059,158,
771,473,015,146,233,755,477,936,702,061,176,093,531,704,529,748,090,534,956,
563,943,362,729,361,156,666,033,361,854,216,587,249,318,543,514,061,177,327,
695,432,655,842,670,564,802,572,050,906,424,545,455,056,326,932,899,324,736,
706,230,684,532,713,665,815,168,250,030,391,618,958,559,700,605,847,836,330,
673,681,494,291,853,075,948,827,428,448,142,632,281,867,009,461,405,761,863,
681,309,571,408,254,913,539,506,366,926,378,202,276,119,923,878,763,557,817,
041,451,836,489,370,837,612,317,403,337,815,502,105,966,518,277,251,776,995,
286,247,467,694,771,919,780,055,507,114,207,530,794,978,631,072,815,083,488,
198,718,515,481,038,622,684,640,696,457,587,887,169,153,254,256,255,647,854,
645,264,217,364,555,885,403,847,516,612,410,689,742,235,073,396,377,485,166,
961,630,464,456,804,005,036,276,357,761,605,617,641,106,805,255,385,615,732,
459,409,283,803,150,708,685,067,244,479,440,797,538,537,936,323,065,207,257,
858,544,591,755,814,939,267,514,694,663,249,729,174,040,917,824,838,787,157,
098,798,702,028,579,881,562,852,387,617,662,931,932,020,701,720,395,687,353,
612,087,815,986,336,258,581,786,417,811,339,469,869,592,504,337,780,447,124,
919,316,479,003,751,208,674,724,790,158,724,206,374,276,664,031,052,807,509,
835,791,928,920,165,560,805,072,507,642,997,734,183,377,740,895,362,098,617,
349,457,611,121,871,976,773,456,620,501,248,694,649,272,887,955,157,825,766,
896,875,483,099,396,048,568,227,217,647,982,188,994,101,954,485,819,885,926,
800,581,783,968,624,815,223,269,076,374,960,024,649,315,651,233,300,289,989,
757,041,730,461,398,081,648,024,276,390,548,806,295,189,463,270,616,826,981,
727,205,237,861,362,889,731,873,684,681,240,714,741,327,346,399,733,175,699,
963,288,724,712,957,645,731,061,472,655,182,828,538,857,379,620,086,326,808,
251,982,715,701,317,702,304,931,574,135,702,721,020,818,113,826,029,547,987,
389,213,809,450,658,365,500,590,649,545,817,151,601,453,124,299,394,989,839,
251,470,652,295,852,228,854,358,330,631,896,223,607,505,591,476,306,844,309,
099,386,614,329,387,113,756,350,165,071,015,059,662,074,561,366,465,104,757,
157,801,121,556,114,278,607,697,718,521,234,311,600,833,669,168,056,833,531,
642,866,365,864,412,774,829,563,993,950,879,016,060,420,053,464,435,484,618,
853,768,353,599,163,742,332,903,108,266,791,239,392,126,951,572,898,111,378,
993,216,934,271,533,235,007,746,625,840,585,244,164,473,002,281,351,460,371,
987,706,784,275,010,849,380,010,013,689,834,199,756,315,370,875,522,647,506,
913,071,213,600,355,008,097,151,791,186,732,695,003,633,150,077,035,659,347,
774,269,705,917,186,765,417,701,673,331,604,355,576,647,597,468,004,039,793,
377,616,803,020,888,281,301,003,369,876,361,451,327,582,398,081,097,385,143,
123,082,621,064,675,678,783,421,711,956,506,982,225,067,733,333,226,748,963,
596,545,587,758,326,013,381,870,135,674,245,503,262,965,428,652,213,918,710,
834,749,897,931,758,275,172,061,074,048,190,179,436,250,372,411,841,663,900,
394,541,209,227,324,906,633,065,321,014,360,598,987,025,980,942,764,321,709,
440,048,681,614,608,368,378,203,760,841,404,744,915,985,022,383,517,597,093,
329,417,305,268,294,242,396,704,660,446,446,121,851,635,147,137,821,321,858,
515,709,808,699,256,191,266,782,803,738,581,571,686,844,240,453,387,915,910,
378,553,109,594,604,990,165,977,752,821,577,212,197,805,158,518,787,385,222,
394,889,111,215,666,128,871,129,403,762,370,577,379,590,137,479,448,467,687,
999,026,163,672,955,576,052,131,896,765,684,800,888,498,217,569,975,862,000,
087,026,795,072,289,427,193,885,261,984,356,277,298,673,853,884,700,372,829,
347,845,148,268,905,885,880,174,898,031,191,296,983,504,283,223,657,956,822,
019,189,795,832,609,128,197,446,761,549,551,999,359,737,938,518,271,472,211,
391,962,237,846,209,143,502,222,462,790,851,828,624,207,410,858,728,297,229,
435,256,068,845,249,731,697,782,697,210,441,459,911,078,147,616,829,499,039,
177,166,944,608,885,233,981,881,885,527,362,999,260,566,106,517,047,622,767,
641,860,595,558,359,908,088,381,843,054,095,434,034,892,922,793,215,908,763,
251,545,782,924,187,886,510,347,304,868,607,847,639,258,141,183,898,133,516,
828,570,463,301,837,846,531,825,453,376,024,500,287,139,669,741,181,559,769,
128,827,540,973,786,063,783,503,757,246,378,645,205,417,157,065,387,816,044,
266,417,875,967,256,837,557,603,469,382,584,329,562,971,580,824,297,519,700,
740,604,824,419,706,877,606,986,527,141,843,022,559,060,240,857,405,090,635,
890,460,413,955,430,474,443,531,717,526,283,805,858,457,290,616,601,336,116,
974,809,121,463,072,553,881,443,583,610,469,314,251,996,045,413,222,431,341,
524,050,455,805,094,546,623,056,698,041,184,930,054,708,721,027,137,847,689,
702,566,684,499,442,013,072,803,467,596,415,047,346,253,056,768,084,490,236,
256,463,678,255,378,009,910,138,319,308,304,376,285,853,129,800,930,831,113,
744,404,833,917,711,017,333,742,085,751,937,501,148,387,679,199,484,999,839,
493,993,097,977,222,294,999,618,404,545,378,866,162,475,285,195,868,147,345,
893,098,474,189,241,631,560,186,252,094,001,909,868,069,560,920,313,101,313,
789,750,800,773,126,366,028,028,680,101,679,759,014,257,959,570,928,296,602,
474,790,411,065,114,839,546,409,885,094,661,262,147,127,335,589,269,422,997,
802,159,974,405,076,385,584,273,284,429,848,345,185,841,844,522,316,065,547,
709,247,250,651,880,613,806,218,539,734,667,641,616,235,733,864,159,217,095,
279,040,682,970,712,459,988,376,258,305,031,304,054,697,401,139,077,569,755,
536,005,276,959,837,723,142,857,361,798,920,488,079,872,137,544,164,102,195,
842,711,160,588,180,557,752,304,705,618,918,657,224,188,654,360,877,290,183,
886,250,021,649,987,148,081,236,490,990,172,737,278,664,421,342,458,810,124,
583,629,145,880,453,710,879,611,206,370,759,965,416,764,864,138,654,344,665,
625,219,865,297,188,663,701,689,213,296,762,755,241,434,694,916,238,958,549,
581,054,283,886,520,670,913,763,755,531,954,212,822,394,919,836,362,837,954,
074,766,591,162,255,829,316,854,567,207,929,737,395,933,238,068,297,249,942,
826,584,263,280,870,066,527,892,901,152,593,357,971,259,977,314,333,092,811,
133,384,333,941,266,688,387,341,277,551,020,195,378,573,342,215,614,322,130,
236,730,650,354,116,344,884,898,505,960,789,757,534,201,250,435,200,370,159,
045,245,329,635,477,883,902,578,125,302,561,514,497,154,785,345,065,709,916,
808,413,832,024,081,971,580,587,068,719,842,323,911,955,849,898,067,791,602,
541,089,837,891,978,297,777,040,339,295,249,937,622,317,028,449,898,953,881,
498,028,606,828,264,577,308,592,253,382,045,063,387,012,433,822,688,427,095,
253,796,098,671,606,221,689,154,036,612,748,453,672,430,586,385,510,934,884,
575,791,551,222,903,522,232,615,340,047,915,878,266,513,770,238,274,244,386,
015,455,651,776,685,548,966,147,268,869,026,922,801,285,382,649,560,274,099,
180,434,146,037,686,700,732,888,620,214,161,891,700,920,324,362,418,809,264,
023,502,057,791,307,856,453,550,539,110,709,719,228,772,358,691,581,358,179,
691,305,005,607,586,001,711,171,845,671,996,068,978,383,204,298,366,000,488,
524,703,161,206,926,709,724,447,654,138,281,111,442,695,721,449,855,074,544,
523,771,770,854,954,747,694,022,493,135,999,119,349,248,297,174,603,433,516,
125,550,836,237,345,988,122,718,346,421,051,021,268,362,664,230,829,066,152,
833,413,788,368,133,501,379,253,126,564,424,958,477,401,704,926,045,939,144,
981,788,560,523,853,885,259,737,571,441,006,799,466,068,633,886,390,189,528,
207,165,096,228,949,006,394,036,315,003,526,897,249,800,770,964,942,221,121,
333,405,511,569,053,274,303,339,384,447,396,296,477,008,009,931,979,364,905,
014,495,068,701,735,873,180,979,691,179,936,039,366,062,634,154,907,212,118,
543,703,000,746,009,453,406,129,573,637,118,659,510,950,833,590,585,377,558,
707,989,394,914,608,119,809,286,543,229,455,340,169,047,179,713,646,227,190,
571,509,089,905,113,019,692,933,926,868,850,696,927,249,607,989,406,529,309,
243,968,333,431,866,004,746,711,729,040,278,585,829,408,412,308,534,592,143,
014,882,586,006,908,286,120,779,472,400,088,402,903,617,806,913,857,480,068,
999,148,400,363,524,762,165,854,312,295,217,305,139,179,453,794,737,431,599,
904,890,371,642,498,966,934,073,164,465,063,662,361,098,425,387,692,766,174,
776,891,563,500,334,004,053,236,886,376,054,722,018,931,821,464,059,727,314,
550,063,617,435,188,357,556,676,581,392,210,620,909,774,623,020,476,476,971,
530,430,719,831,553,902,869,017,199,107,821,572,403,888,351,796,494,207,659,
118,414,908,280,745,282,798,821,704,677,603,710,581,944,882,535,324,634,551,
887,024,588,323,774,805,768,233,464,877,872,848,162,004,974,570,402,992,979,
265,197,636,346,677,892,178,407,481,651,294,029,510,086,770,598,933,088,109,
832,382,323,768,944,731,237,813,164,147,469,862,763,957,512,694,578,097,278,
072,783,761,147,223,994,953,659,476,849,176,238,775,698,132,778,523,463,882,
185,308,810,784,921,632,751,980,501,234,285,057,942,669,330,041,591,129,342,
587,017,605,857,893,912,799,742,799,915,840,398,130,718,762,629,372,001,656,
323,255,831,894,543,482,400,771,794,525,278,402,137,884,359,816,188,685,552,
208,666,711,882,878,507,682,394,626,827,436,040,978,008,112,919,141,711,259,
422,771,971,051,153,856,639,793,020,989,727,109,335,396,109,129,148,553,836,
979,774,972,744,279,445,711,032,778,243,899,326,095,892,607,938,718,488,579,
643,787,641,438,500,510,533,065,607,802,469,608,028,274,081,222,346,876,733,
013,829,273,239,941,713,271,790,156,630,589,402,140,686,368,968,689,767,329,
652,504,749,760,591,588,032,290,197,281,325,090,269,122,965,983,195,457,891,
909,362,968,987,194,332,856,845,973,492,329,556,126,178,971,173,418,653,067,
383,741,450,321,464,621,848,873,888,232,591,945,612,627,276,942,349,956,961,
629,667,073,653,575,500,248,778,773,589,937,552,128,666,997,048,535,780,977,
934,751,197,987,628,013,993,874,343,259,853,287,318,375,270,194,652,446,408,
132,907,618,402,603,505,795,129,422,610,083,667,354,936,655,240,330,780,527,
842,726,058,575,520,740,541,518,377,104,093,451,959,064,826,891,443,606,187,
549,131,542,568,492,919,338,833,867,378,114,077,815,797,726,578,475,635,323,
528,061,996,852,840,865,410,194,144,718,911,193,220,198,208,216,689,127,346,
401,362,813,499,222,612,864,630,271,139,789,811,434,915,586,810,602,521,405,
321,645,652,230,670,934,682,885,779,504,553,654,755,518,877,865,082,928,883,
826,980,127,549,393,008,041,733,284,612,553,281,019,099,954,779,049,748,443,
123,717,115,408,491,117,329,706,860,944,527,761,684,124,848,757,618,167,476,
126,202,970,217,697,140,314,110,508,930,433,238,544,149,513,728,330,681,153,
455,923,275,388,976,011,206,151,472,653,503,047,181,206,894,762,896,355,222,
831,392,079,840,324,801,310,237,785,792,723,225,821,089,101,463,171,370,078,
761,717,990,150,797,728,603,366,524,356,061,958,865,777,113,858,915,763,104,
009,063,355,477,576,813,222,928,864,255,475,336,087,511,272,831,854,487,434,
056,481,808,072,733,624,724,534,707,313,213,224,228,102,614,318,724,385,030,
662,595,650,510,735,403,315,725,432,004,996,460,322,597,864,389,081,120,406,
870,445,209,229,199,997,741,939,978,617,963,404,562,838,765,913,646,273,188,
626,607,810,475,770,243,305,570,586,699,140,249,365,086,141,592,790,367,244,
537,591,567,866,019,342,032,710,149,840,244,596,261,805,529,367,214,697,718,
837,870,470,402,840,140,032,387,631,643,349,989,681,983,369,306,412,003,256,
218,316,473,094,851,887,133,537,513,121,188,197,925,587,007,478,636,025,626,
615,543,586,608,796,729,820,973,707,024,426,441,812,486,907,479,844,055,039,
873,316,971,478,324,893,126,849,283,651,224,782,458,045,750,894,751,691,170,
748,032,609,816,538,333,163,433,921,766,624,994,951,009,363,328,586,986,029,
200,693,240,356,217,657,809,140,185,628,399,688,388,776,111,214,440,035,792,
932,583,873,647,914,008,735,773,936,200,520,783,382,797,900,279,190,799,515,
042,278,501,786,269,764,288,022,529,064,832,879,036,676,458,607,537,084,441,
693,930,611,533,100,157,453,938,882,045,300,601,449,915,992,589,319,393,277,
384,797,243,158,713,035,672,041,334,384,744,475,565,389,540,057,715,614,055,
065,681,277,476,409,522,741,153,023,987,046,370,800,907,090,967,871,150,394,
780,400,007,143,414,673,358,827,127,779,862,226,933,663,793,362,195,572,982,
618,695,273,081,359,476,859,767,593,372,809,352,128,172,237,730,448,811,997,
336,096,426,105,100,351,128,273,139,231,725,065,362,950,355,218,398,340,182,
910,665,068,079,640,684,674,769,234,370,644,989,774,573,754,438,167,081,525,
457,322,478,569,803,689,922,323,036,315,854,406,938,757,141,184,948,498,308,
920,337,535,387,760,149,272,465,180,932,297,795,633,039,222,432,054,097,699,
496,939,219,916,893,366,872,722,657,197,784,630,608,742,216,640,479,332,688,
893,817,540,864,792,158,129,606,265,657,522,182,604,923,586,236,588,651,073,
540,438,951,659,162,729,462,547,468,002,914,758,013,905,399,212,888,185,262,
836,431,564,944,797,334,907,638,672,717,933,719,567,874,400,819,445,340,428,
566,402,219,817,344,180,508,043,223,115,297,028,961,817,791,843,473,349,457,
383,632,856,647,632,016,660,969,856,607,079,586,957,875,156,467,620,359,270,
511,425,405,891,076,100,553,116,098,077,637,168,681,701,655,552,130,253,192,
629,315,918,984,169,560,508,528,823,386,990,144,981,736,755,222,704,363,035,
134,656,568,488,466,196,671,902,571,859,008,804,348,164,008,514,162,909,133,
121,300,636,844,736,204,744,382,560,579,124,358,954,469,128,317,996,680,951,
473,548,560,194,152,593,703,962,970,577,445,473,626,924,728,243,806,200,900,
614,769,466,855,581,349,661,492,293,972,853,097,026,205,208,020,445,900,025,
490,191,586,279,603,543,074,141,041,356,308,394,096,500,708,978,586,748,116,
735,643,644,440,597,955,497,237,581,115,435,725,223,396,890,563,096,031,754,
174,110,970,094,966,031,057,808,815,939,822,755,300,126,675,823,071,243,508,
694,132,068,522,537,556,794,410,537,561,932,948,935,182,792,316,938,089,400,
647,775,913,727,143,835,332,462,116,401,857,476,954,321,645,421,603,124,514,
904,263,669,100,761,077,300,476,823,234,483,875,804,506,263,562,487,006,315,
673,236,524,871,612,550,446,394,842,442,575,278,683,497,739,765,006,143,122,
841,749,680,301,181,414,090,062,833,918,533,957,836,913,034,503,087,172,456,
737,316,768,852,480,157,456,533,642,610,973,619,338,277,873,076,969,579,998,
849,370,467,975,223,344,111,094,023,011,864,027,505,280,362,751,451,837,713,
493,938,473,580,173,269,183,963,124,885,939,749,484,346,112,378,539,007,329,
029,037,732,898,494,593,138,467,006,260,746,628,791,215,485,063,246,505,021,
979,952,703,575,493,234,745,450,133,210,190,341,672,769,948,376,597,730,656,
688,502,458,411,834,278,108,610,687,508,401,880,886,193,436,436,500,015,858,
023,560,119,854,958,484,276,790,074,604,963,829,733,285,281,363,890,876,282,
554,595,198,602,915,172,138,960,226,672,326,776,987,702,148,153,442,837,729,
510,274,921,977,284,160,451,292,251,576,605,036,290,453,113,144,393,827,363,
271,966,906,152,883,432,248,234,633,658,745,051,785,305,308,431,334,123,280,
645,608,274,920,210,786,410,273,947,999,774,490,242,344,273,603,838,037,318,
859,434,934,585,659,179,560,323,054,515,456,547,347,583,718,691,666,062,898,
030,023,634,986,712,725,445,066,284,360,469,448,479,611,919,764,758,632,158,
924,940,372,170,381,502,428,270,239,076,102,779,900,488,753,326,842,807,386,
245,464,346,684,951,130,987,102,250,768,870,603,724,825,915,649,891,971,744,
172,356,413,202,080,106,986,620,796,695,360,894,520,427,207,874,044,204,248,
341,497,549,035,504,704,482,035,851,585,576,423,499,356,048,735,818,653,415,
700,063,053,943,892,953,888,817,809,468,422,961,223,647,712,373,481,246,497,
190,863,892,010,962,119,332,473,593,564,132,723,197,273,115,021,215,541,257,
138,382,081,382,905,817,492,243,593,021,139,396,040,153,409,335,993,058,635,
949,105,220,694,531,970,574,674,579,346,560,007,479,516,922,071,122,501,136,
337,949,560,769,744,642,479,353,286,968,285,778,751,738,702,063,889,387,727,
601,122,290,361,979,445,729,139,915,834,656,203,765,056,193,639,909,839,509,
983,050,956,532,711,497,895,891,372,310,979,411,497,597,189,673,146,838,869,
402,628,844,550,724,401,660,467,533,278,018,129,299,017,129,666,936,926,933,
577,998,403,032,593,813,692,229,668,135,429,441,145,034,554,219,211,394,584,
433,866,966,738,911,226,606,876,210,638,442,531,932,247,780,207,335,692,507,
803,081,715,562,560,528,863,722,313,937,018,603,349,684,201,636,906,589,031,
901,396,316,357,950,489,100,852,537,692,126,867,468,429,236,466,554,063,744,
505,248,386,307,040,955,532,995,424,090,578,062,482,152,718,998,560,678,227,
803,779,067,905,142,046,878,375,715,987,853,060,213,739,390,813,351,049,207,
855,124,212,029,767,717,037,387,290,433,801,831,003,031,224,888,071,871,060,
876,894,675,124,630,059,864,389,692,294,193,693,095,326,228,511,665,481,051,
151,901,079,603,107,946,592,696,018,338,077,553,196,025,226,600,858,671,011,
726,872,952,429,957,883,715,295,605,503,788,865,946,445,912,366,995,545,814,
584,342,825,309,814,232,052,398,119,568,108,499,296,466,980,239,043,260,281,
093,834,315,329,384,358,807,191,348,036,454,122,295,509,974,662,733,345,990,
852,150,527,705,458,816,106,134,009,972,234,838,994,206,903,131,711,395,727,
908,271,875,054,422,862,941,457,745,060,314,256,251,295,048,761,406,854,083,
189,092,542,639,522,504,041,485,008,662,393,280,600,645,228,283,078,410,842,
889,818,949,526,781,064,059,237,279,987,211,710,763,180,085,171,128,590,736,
971,467,892,197,962,206,975,975,864,714,021,876,419,675,247,989,357,619,217,
213,356,758,861,263,638,194,701,475,339,060,607,336,411,885,429,061,019,065,
915,347,857,233,131,207,101,546,817,757,410,380,322,365,654,170,971,964,575,
115,315,748,172,569,312,981,256,123,994,512,000,082,789,837,555,423,371,938,
327,555,946,610,096,232,722,132,674,345,171,261,018,724,629,329,700,329,288,
270,479,772,667,683,639,194,016,688,349,333,081,469,792,798,548,088,988,687,
018,965,885,385,527,700,144,854,349,549,046,758,785,931,660,665,390,163,411,
263,950,214,122,838,759,922,402,720,991,382,074,067,046,530,408,904,590,409,
086,801,592,271,571,163,906,752,794,863,233,022,972,232,325,757,365,490,108,
910,782,213,518,049,617,012,603,531,172,337,799,418,793,193,929,515,359,118,
028,605,461,794,431,217,778,972,268,469,091,267,081,650,712,784,665,712,171,
863,111,264,853,299,586,193,541,733,243,121,743,232,951,552,663,074,237,021,
437,033,945,184,356,418,094,006,603,541,990,368,789,651,521,927,594,861,314,
804,005,336,246,947,517,105,640,462,904,576,957,786,518,874,331,895,491,813,
245,933,995,944,358,608,054,633,647,038,971,732,605,698,484,482,741,958,722,
340,047,418,416,999,849,699,537,105,174,853,053,480,655,815,279,214,785,347,
353,934,560,062,994,321,997,627,170,982,572,169,038,289,761,807,538,523,105,
038,116,997,942,639,594,136,552,850,051,309,623,202,584,477,958,089,935,236,
288,372,457,103,380,464,200,064,293,556,575,184,720,922,350,312,228,234,870,
255,641,182,513,911,060,970,648,939,109,705,425,238,627,447,246,585,476,583,
206,274,242,075,233,628,290,335,403,338,401,025,172,241,214,811,335,813,502,
203,442,411,864,925,821,369,912,555,911,105,106,016,105,172,306,443,706,574,
365,750,720,709,721,976,005,611,142,721,076,425,415,964,131,750,705,561,621,
775,990,469,279,392,368,464,522,166,247,264,383,877,388,844,376,110,924,884,
397,623,219,140,515,590,254,694,838,260,548,447,451,534,461,127,912,867,855,
818,613,227,841,773,363,947,887,938,258,628,028,252,432,967,538,227,195,329,
138,176,774,862,057,894,262,627,862,095,305,241,614,518,411,510,454,841,886,
223,493,169,242,797,221,608,757,972,689,801,762,402,268,771,288,562,627,868,
118,001,907,743,804,617,809,698,301,914,046,379,789,895,914,968,716,019,028,
802,153,259,704,684,279,809,897,071,111,487,918,033,288,972,485,877,443,341,
213,232,540,680,113,570,799,461,156,593,636,313,992,445,574,321,952,614,203,
973,650,617,349,345,319,754,606,610,344,819,500,319,019,641,329,947,162,431,
046,577,591,799,841,338,734,614,517,813,793,558,134,855,018,978,088,731,556,
843,813,462,735,412,093,925,977,353,003,073,493,327,637,049,387,100,334,427,
705,268,586,960,161,332,144,316,131,679,405,935,957,781,337,462,824,129,677,
675,202,914,336,968,067,357,950,424,689,981,768,703,661,473,228,606,492,271,
761,546,978,334,616,214,626,422,357,717,844,907,008,879,904,923,654,690,196,
666,410,039,562,250,162,630,258,375,781,298,267,528,039,740,070,478,560,209,
156,766,127,887,678,885,105,654,382,291,722,857,997,510,543,829,815,617,769,
860,957,543,212,568,068,353,330,132,003,991,285,409,132,680,848,370,492,353,
133,758,786,188,484,262,822,671,438,216,574,224,416,199,222,041,288,644,761,
634,715,158,414,702,647,163,282,489,869,475,432,586,587,625,144,815,892,297,
967,250,807,478,523,978,111,688,619,576,683,924,834,255,734,580,741,263,211,
251,035,684,881,283,524,925,095,218,412,535,777,272,242,814,577,350,727,959,
809,882,370,263,839,527,336,691,156,741,422,078,783,487,994,932,158,240,317,
921,505,641,015,418,767,915,533,749,810,502,206,758,840,000,745,488,822,170,
822,013,965,072,290,975,699,310,770,660,520,044,045,408,627,270,191,655,512,
568,341,515,177,727,123,720,717,659,932,638,095,554,774,038,495,926,888,374,
569,440,246,050,113,801,246,765,681,159,516,259,929,097,588,455,524,011,671,
711,405,150,648,557,344,234,380,181,961,851,203,051,504,790,801,861,964,722,
443,094,579,066,550,859,002,164,695,652,458,570,760,877,199,331,755,352,547,
537,097,604,729,114,225,521,602,668,119,230,028,850,658,953,798,165,528,336,
652,319,520,484,471,404,933,724,132,112,325,418,307,808,918,647,007,194,424,
282,211,445,739,608,987,857,062,274,378,412,299,933,998,589,423,706,510,872,
304,989,985,085,502,152,287,392,366,647,178,445,051,784,093,414,456,753,500,
401,580,797,186,673,880,000,031,464,946,112,245,550,113,218,625,117,276,242,
329,708,233,451,127,035,429,152,514,041,716,560,789,075,115,301,840,595,424,
937,211,473,937,104,944,292,783,501,201,764,215,344,099,401,848,727,238,122,
687,421,976,085,581,699,550,298,216,914,312,204,586,885,606,601,379,138,267,
910,418,433,796,494,305,720,747,246,414,107,923,260,656,561,392,189,044,729,
673,924,677,832,859,604,366,851,503,564,656,405,104,550,615,837,504,453,992,
583,904,221,416,717,149,242,434,502,608,561,091,058,873,675,524,939,664,237,
319,180,779,437,267,914,015,185,136,691,008,320,969,193,127,479,615,623,835,
171,197,001,186,370,204,480,279,636,716,543,325,366,177,077,281,623,134,837,
911,634,686,063,568,590,378,904,926,258,087,323,346,883,849,143,499,105,157,
182,569,934,083,540,482,587,843,169,746,181,570,221,720,275,264,142,163,050,
977,546,353,127,532,559,435,767,792,002,168,399,012,665,587,807,476,127,015,
389,099,039,770,848,420,478,946,609,379,084,120,526,817,618,310,100,664,076,
816,731,732,979,242,681,933,716,789,185,963,599,935,989,478,814,597,317,852,
805,848,627,557,232,715,572,605,435,117,548,119,271,276,460,373,039,394,473,
208,234,422,877,235,020,778,829,941,844,701,216,960,879,995,214,913,649,376,
596,427,362,969,021,624,183,701,794,083,792,778,526,130,932,026,165,878,002,
833,735,348,125,343,481,213,622,088,837,865,750,571,892,336,170,050,728,530,
375,944,017,026,021,767,500,695,772,740,518,110,452,438,991,548,281,784,733,
351,398,128,194,758,228,903,666,374,658,985,433,054,528,737,428,110,154,939,
372,819,819,252,549,392,870,551,516,745,891,859,916,461,659,766,591,047,371,
333,973,169,610,180,871,477,037,382,353,195,077,453,065,596,955,022,237,119,
102,815,008,507,837,508,072,525,256,556,410,201,015,819,726,826,428,257,903,
280,724,523,756,886,982,755,078,425,555,934,655,398,244,095,394,589,652,628,
639,681,086,061,726,995,197,622,734,850,143,162,849,058,380,658,228,159,882,
283,906,405,914,199,693,368,347,374,992,776,292,234,893,547,745,686,009,425,
975,140,540,916,168,182,322,438,569,167,357,944,111,076,042,265,315,004,817,
427,199,770,052,205,647,433,787,194,298,343,319,232,763,855,427,114,893,970,
229,460,205,222,057,534,341,489,856,418,640,792,685,015,824,545,369,228,705,
500,496,964,640,080,601,683,936,679,125,955,372,041,518,083,298,574,118,333,
765,112,387,275,761,174,066,121,467,466,119,857,484,187,193,068,501,594,733,
794,551,623,784,206,549,636,979,778,086,169,180,287,163,276,987,945,253,660,
097,863,599,114,876,355,757,354,941,355,321,611,682,238,596,007,659,620,334,
652,246,479,745,683,664,980,715,600,754,282,393,522,391,691,120,517,087,875,
871,551,423,020,713,286,196,852,913,706,095,277,252,290,750,368,025,249,097,
423,418,208,657,267,078,959,832,037,216,673,007,058,789,918,517,230,348,847,
656,534,783,789,406,612,837,221,941,577,553,970,227,184,179,171,359,595,536,
730,050,305,372,381,423,195,262,540,238,990,741,329,652,528,716,245,845,632,
420,210,495,556,158,000,944,915,742,696,260,344,226,786,943,866,389,637,421,
833,529,829,997,838,570,899,583,193,512,233,152,043,661,794,555,576,797,318,
893,619,906,467,411,107,382,667,797,206,842,939,015,910,672,500,658,170,299,
250,506,066,900,499,701,055,737,278,786,537,480,859,007,744,629,227,280,202,
719,626,040,196,655,375,439,445,992,175,426,979,582,017,748,468,167,589,298,
755,834,499,622,017,044,218,500,207,874,991,463,744,469,135,335,081,284,759,
331,872,696,625,195,222,016,735,617,678,786,358,774,992,899,141,828,966,033,
331,668,265,961,447,798,250,779,629,884,763,840,569,792,784,179,907,517,326,
329,281,554,007,540,315,567,018,355,167,557,585,728,143,315,921,276,771,265,
390,909,448,885,196,121,170,012,412,060,835,689,599,152,569,299,897,846,568,
226,539,352,576,991,870,005,301,088,993,432,441,807,238,231,193,861,418,607,
668,469,607,628,927,892,527,879,628,383,634,326,562,313,301,106,782,569,443,
052,270,056,938,660,881,297,379,392,887,045,270,883,632,896,356,974,615,775,
268,299,824,407,975,319,615,011,815,740,718,015,298,740,736,717,544,027,686,
465,027,719,869,591,581,624,761,995,634,324,641,552,699,143,816,786,995,449,
533,746,212,679,972,559,702,058,215,731,244,599,078,639,284,934,303,231,466,
018,094,857,330,258,595,994,683,707,217,561,191,683,430,157,976,622,549,878,
368,176,058,510,018,625,060,205,050,597,516,263,112,470,087,398,358,304,102,
021,697,914,102,783,601,449,698,517,415,521,811,647,016,777,334,047,847,207,
725,840,872,842,987,433,281,593,830,019,467,777,659,942,828,123,168,776,073,
058,367,223,191,644,453,678,841,530,914,279,002,438,046,156,232,824,261,603,
214,219,561,859,141,124,002,155,677,266,154,835,440,099,757,293,179,879,029,
772,319,001,285,705,280,638,108,047,141,247,282,755,956,436,762,059,025,947,
723,899,967,031,093,441,958,354,203,489,827,994,385,054,466,554,365,998,675,
841,924,862,967,733,536,012,546,307,841,106,664,462,873,580,970,496,569,406,
196,448,430,566,360,852,144,400,393,290,362,848,513,043,655,791,621,103,750,
836,450,154,426,148,100,017,867,693,773,347,664,234,400,998,295,144,832,639,
427,401,111,543,507,106,149,937,744,024,102,899,941,940,778,815,653,170,768,
760,439,629,526,922,590,577,009,567,147,396,570,827,815,122,524,631,858,468,
628,309,772,739,270,092,927,575,017,009,645,554,315,224,107,279,160,452,543,
086,532,654,730,282,313,962,779,440,443,388,158,829,455,472,568,459,279,536,
314,085,387,295,338,507,968,883,751,472,525,998,451,535,673,237,101,547,475,
925,735,780,491,881,366,870,650,160,621,905,126,835,689,092,672,668,775,053,
754,655,258,287,918,982,260,676,913,664,149,073,497,165,453,381,849,413,884,
988,272,047,687,840,065,799,271,964,016,438,254,196,394,352,286,452,083,987,
722,690,325,955,182,544,263,269,861,982,478,528,272,570,974,010,940,265,512,
296,606,838,872,676,230,439,182,741,977,878,559,806,557,283,522,016,743,584,
827,328,328,007,696,514,654,723,193,887,864,843,993,834,217,308,988,395,602,
685,873,317,648,682,140,679,482,768,475,345,025,803,292,968,608,378,714,301,
177,199,128,729,795,401,885,054,132,882,549,208,796,196,918,796,300,341,796,
397,173,284,454,018,599,153,738,459,627,875,624,333,307,637,467,876,358,814,
552,981,818,110,467,844,474,740,542,499,387,612,585,018,481,622,186,967,937,
289,890,001,195,574,201,320,360,190,219,975,341,101,975,212,138,261,453,410,
022,227,205,708,860,377,700,207,935,541,623,703,627,171,494,625,370,607,457,
163,647,417,361,371,361,481,884,924,507,589,838,584,746,045,832,191,419,385,
098,609,701,599,061,251,190,857,962,007,090,664,082,414,460,578,734,671,749,
866,781,108,976,796,160,805,495,697,533,960,941,065,203,653,107,057,810,912,
671,027,274,943,966,341,354,410,911,371,041,661,895,868,680,847,863,825,841,
699,622,980,486,934,652,521,298,517,080,110,684,471,981,699,687,617,071,154,
934,604,365,548,244,985,110,820,319,010,890,399,089,489,935,277,992,158,043,
107,106,167,486,512,149,839,708,603,490,544,531,804,219,809,205,225,765,418,
699,133,148,215,032,057,716,288,697,200,830,588,908,547,469,669,982,804,018,
162,124,236,386,232,733,462,479,473,477,200,239,619,516,197,487,684,460,615,
313,490,393,102,899,950,678,106,347,140,723,919,752,183,652,246,533,387,179,
430,478,499,138,648,471,785,523,811,380,396,544,755,292,604,642,087,535,415,
225,175,086,842,915,167,745,526,741,224,770,003,549,763,750,128,843,403,633,
727,884,084,910,626,528,433,893,962,182,805,623,445,902,949,584,922,926,739,
537,082,112,875,667,905,426,132,759,473,835,556,821,295,545,277,721,771,365,
919,443,591,638,953,966,629,238,180,787,674,143,529,512,674,231,279,506,478,
690,324,874,246,859,510,609,373,579,478,616,713,458,079,479,651,496,411,641,
454,463,902,392,375,485,788,711,518,068,613,827,470,122,759,790,448,802,582,
499,854,549,661,718,903,519,921,953,689,892,739,250,157,644,493,854,935,798,
609,386,024,998,959,847,709,759,036,190,724,345,924,019,527,960,408,790,562,
485,035,365,188,952,285,338,503,205,060,093,179,635,816,465,977,802,402,940,
960,601,960,921,356,996,389,733,003,345,604,428,872,043,912,900,902,871,069,
764,132,160,551,273,013,605,931,923,044,066,411,397,179,048,595,518,338,705,
038,045,178,668,933,224,258,624,464,311,201,430,586,416,706,091,462,806,534,
826,013,807,031,435,220,875,764,760,361,991,622,716,213,030,880,655,358,628,
150,225,417,853,614,097,615,191,551,061,719,120,425,196,747,978,096,349,502,
260,391,014,723,847,111,013,928,402,689,354,720,161,952,593,940,789,455,074,
848,600,281,282,806,319,906,190,162,092,621,677,838,184,524,289,732,230,144,
836,982,901,341,894,890,890,567,685,833,308,662,694,327,376,104,798,577,727,
770,682,735,984,433,859,226,010,349,095,650,071,103,802,744,039,961,490,818,
943,127,733,479,038,060,168,656,076,945,756,774,192,801,825,487,426,194,987,
150,910,975,997,906,761,976,585,997,982,098,211,946,018,203,896,796,772,818,
640,118,406,890,013,447,966,391,792,736,569,819,668,811,083,825,516,577,479,
344,020,638,111,161,922,096,808,608,863,704,969,121,901,703,813,234,283,663,
124,211,912,501,252,995,556,314,565,317,511,213,594,850,652,124,102,660,433,
422,370,228,250,372,364,685,129,156,830,531,214,716,183,221,445,626,599,143,
026,068,836,378,788,842,078,474,790,944,700,836,017,874,710,343,635,960,050,
155,266,035,838,808,033,045,129,519,084,697,080,344,038,791,833,895,078,819,
920,292,280,563,358,996,323,541,198,923,536,755,461,024,792,184,881,201,256,
440,548,102,187,099,292,796,078,476,082,995,908,520,134,310,155,350,431,970,
868,191,152,553,741,179,298,827,391,250,951,115,248,958,056,210,447,443,499,
201,013,686,025,217,948,187,018,315,859,876,735,572,678,435,788,602,286,828,
535,887,751,275,113,401,896,761,268,307,989,152,299,076,813,349,540,001,701,
732,666,430,663,951,601,940,871,394,449,320,371,772,598,279,881,013,417,999,
602,715,928,336,900,418,857,059,689,303,476,721,028,585,945,921,780,255,554,
929,874,609,285,529,077,712,405,989,997,882,477,548,399,213,063,684,372,589,
095,770,728,486,727,236,536,790,765,342,525,931,518,287,026,766,531,482,163,
584,896,750,956,324,502,045,951,523,445,395,222,501,424,854,655,605,027,477,
236,471,333,297,675,564,886,797,631,017,117,167,450,577,569,841,002,858,737,
601,064,928,463,398,061,814,995,031,372,001,857,012,759,450,501,590,373,022,
595,964,118,281,803,938,943,875,326,180,319,154,924,125,324,414,883,712,580,
787,937,841,420,844,872,824,601,219,020,510,162,112,244,881,211,497,908,096,
136,757,805,521,860,336,965,453,604,858,406,674,539,291,121,221,351,750,243,
301,502,527,963,592,374,186,574,740,132,076,847,034,328,739,683,013,004,791,
211,739,339,328,279,952,672,280,089,586,301,545,468,503,572,116,915,750,125,
761,015,577,955,395,886,413,176,895,007,057,595,566,343,720,486,427,957,531,
611,852,573,605,330,828,925,014,409,866,224,930,132,862,428,330,710,336,360,
028,434,762,055,186,088,092,757,901,396,103,988,568,139,378,400,069,215,666,
498,220,558,389,880,002,074,145,379,927,610,059,370,889,261,306,774,464,566,
320,499,143,167,729,327,045,420,385,556,506,106,182,544,326,336,275,736,791,
784,250,166,484,073,698,611,502,017,723,853,330,129,694,109,121,177,455,188,
869,267,608,184,025,969,886,614,466,818,287,167,026,248,174,589,877,629,240,
834,032,570,298,657,388,629,119,564,899,805,943,643,272,983,464,819,384,343,
108,611,529,824,813,442,459,710,546,923,770,210,498,281,423,333,443,400,344,
055,155,703,909,384,630,761,900,367,885,593,709,784,676,003,936,527,248,021,
757,965,580,758,292,500,742,980,651,477,627,084,677,032,250,282,177,813,956,
847,548,810,723,676,140,824,501,960,396,751,305,664,019,396,994,644,053,680,
046,672,370,974,727,264,244,004,234,235,894,739,304,298,618,075,464,058,574,
665,425,452,503,387,562,697,044,761,224,206,702,602,510,814,798,237,302,752,
534,258,049,922,317,093,181,625,835,465,051,969,184,079,188,291,413,843,209,
678,893,846,677,509,925,993,328,658,324,247,531,129,364,997,217,405,357,333,
238,117,312,421,255,704,700,277,543,945,142,122,785,040,891,897,395,448,076,
621,223,609,886,011,840,977,570,439,289,686,248,603,530,302,493,806,166,807,
263,277,616,269,083,765,135,809,507,444,874,301,010,973,055,764,805,845,174,
359,212,088,348,230,286,977,033,995,724,596,001,601,924,891,075,071,042,894,
130,159,277,415,893,657,263,056,539,670,240,831,374,865,076,873,802,289,922,
710,291,886,688,987,471,873,342,599,061,234,201,434,946,097,602,582,177,121,
870,022,190,403,044,181,586,518,795,598,252,063,623,419,042,733,625,029,046,
322,701,591,779,438,379,022,320,949,462,161,696,494,963,390,961,022,565,793,
094,083,731,892,092,795,848,883,181,760,313,851,874,538,544,114,517,702,151,
477,281,578,922,131,640,252,414,185,772,778,004,192,964,179,327,239,897,941,
079,249,098,022,383,431,940,710,711,044,625,883,419,070,599,906,879,539,496,
657,728,136,498,695,493,697,889,635,825,079,217,826,829,747,473,973,662,462,
305,674,657,202,363,103,464,668,817,195,402,591,158,767,047,181,855,118,466,
340,289,622,580,831,582,545,537,131,859,882,817,185,650,430,010,036,373,047,
790,612,056,739,769,561,347,560,904,122,132,321,404,549,242,861,255,289,625,
884,744,204,788,994,291,232,412,740,431,680,428,814,868,323,892,183,216,697,
783,255,629,583,840,925,612,641,898,132,792,818,071,095,885,962,048,314,527,
138,342,662,554,528,921,414,393,232,907,229,050,920,840,737,700,096,939,196,
972,527,615,150,556,369,018,802,279,881,664,990,646,534,874,987,101,580,375,
784,526,211,557,619,165,471,818,330,899,056,500,066,693,792,008,260,820,539,
345,131,700,070,263,131,984,519,769,244,275,858,160,267,575,748,502,036,488,
006,257,077,422,407,963,033,639,820,861,453,743,912,304,160,555,627,271,257,
779,934,753,377,150,475,015,225,188,176,255,527,158,035,230,344,548,768,014,
009,183,623,575,277,900,537,971,372,796,047,439,747,298,764,882,197,402,890,
751,088,309,432,775,710,145,913,346,478,369,938,368,691,742,139,067,667,201,
215,097,289,088,649,327,426,029,464,045,283,347,196,781,866,309,044,767,324,
420,101,684,747,385,007,984,117,825,984,614,053,684,598,657,684,536,069,639,
746,901,843,328,807,260,396,013,294,444,029,999,221,496,390,749,308,309,454,
714,882,217,111,900,682,953,296,652,548,868,920,501,542,310,395,089,255,439,
781,245,837,964,447,260,219,591,330,122,425,124,000,572,096,629,033,719,332,
871,056,566,420,309,531,134,550,060,526,049,505,856,915,295,171,674,574,626,
992,558,794,591,905,780,143,294,234,611,498,384,169,181,182,703,180,467,147,
782,795,168,426,616,814,918,354,722,647,092,153,645,201,413,580,524,411,148,
747,857,862,406,822,233,787,528,237,486,247,861,393,248,596,613,329,320,806,
877,298,736,512,472,429,223,220,498,898,061,195,837,391,019,635,862,522,385,
178,887,068,721,427,652,112,618,752,800,624,945,194,719,095,403,181,281,944,
775,153,195,049,220,699,538,047,387,512,341,589,022,328,122,658,051,032,210,
072,385,143,465,067,692,660,516,864,528,065,217,741,267,527,223,810,846,700,
229,142,327,947,332,280,623,706,627,293,297,473,115,790,366,402,563,376,970,
429,563,779,204,290,462,721,553,165,251,119,569,180,553,498,266,031,942,178,
156,741,428,670,420,301,315,329,741,626,051,986,904,155,099,025,337,542,185,
879,763,885,697,721,516,252,014,709,008,565,459,903,178,985,248,991,439,824,
218,642,004,454,857,340,591,621,828,059,017,812,938,548,534,858,664,665,713,
090,727,991,187,832,495,631,332,291,551,542,694,316,845,767,968,745,979,672,
030,181,457,260,601,824,031,507,633,568,930,279,746,731,815,487,669,572,701,
492,920,254,330,971,749,036,760,212,175,589,692,943,523,398,528,802,085,913,
161,340,022,743,426,683,265,624,174,607,839,188,375,300,687,105,908,129,836,
405,455,930,564,539,872,302,549,716,763,063,550,149,957,090,326,888,143,038,
655,655,249,508,464,014,880,201,502,341,016,038,227,416,246,465,662,676,044,
993,979,324,895,972,969,505,089,040,201,303,889,109,457,205,737,834,023,191,
203,064,299,817,273,481,102,318,615,715,394,101,048,848,880,776,056,889,035,
070,631,341,273,675,678,928,341,843,273,870,568,941,656,812,229,855,715,957,
788,715,689,785,237,481,889,030,274,337,250,296,767,848,295,111,892,138,773,
596,643,461,430,697,719,699,178,146,207,837,427,941,736,183,478,112,484,076,
005,421,976,881,935,608,611,307,368,219,120,416,448,923,427,164,097,320,379,
715,801,464,205,870,658,676,885,707,603,786,054,908,184,692,614,728,266,722,
915,168,842,405,266,958,924,541,316,813,508,505,377,422,064,050,779,930,612,
086,977,561,675,116,969,541,235,797,785,127,940,838,007,520,758,690,074,827,
975,812,398,071,952,831,062,282,276,609,552,732,463,553,582,918,140,873,186,
963,444,433,078,811,424,958,151,765,630,941,339,949,962,174,106,924,070,836,
746,702,964,766,471,459,221,204,344,417,936,023,478,363,525,554,846,054,414,
275,580,672,973,406,450,508,129,935,847,106,078,008,258,891,000,881,450,251,
013,182,134,851,418,655,199,787,520,262,582,526,668,229,243,276,267,090,462,
946,616,179,919,201,320,223,279,785,429,978,185,787,824,411,362,079,547,454,
274,189,511,829,785,247,314,505,395,562,469,302,850,059,940,814,244,536,342,
699,081,288,557,363,522,337,620,641,758,614,297,234,115,334,815,134,282,665,
043,114,007,734,121,815,819,936,364,385,359,939,606,680,820,898,213,983,792,
011,916,661,336,932,939,948,800,527,454,140,130,480,827,247,759,304,458,696,
788,969,407,135,354,320,682,445,980,910,694,583,687,899,078,065,988,165,666,
633,279,788,604,448,376,364,375,796,142,512,933,509,567,173,498,957,657,804,
892,294,754,792,283,977,906,367,891,671,229,868,505,983,681,704,341,802,866,
911,970,564,351,064,983,723,078,637,314,567,404,162,789,854,018,565,156,276,
655,159,649,811,003,338,306,807,543,531,181,025,923,530,615,087,003,914,014,
657,130,168,216,017,358,092,647,723,751,893,292,302,498,511,824,747,881,949,
656,389,830,355,359,338,292,990,439,742,603,464,999,453,732,970,419,227,094,
434,435,887,029,000,846,955,715,745,587,066,400,422,047,683,263,557,405,281,
597,681,589,924,491,363,437,261,720,908,847,736,565,882,338,771,231,070,290,
114,683,643,459,969,993,086,751,853,462,725,799,516,727,070,090,171,771,778,
983,780,918,979,320,330,709,718,117,705,088,405,876,818,254,913,721,548,989,
597,392,804,602,167,461,808,264,489,149,363,547,093,330,506,286,199,909,378,
567,548,146,734,794,113,886,236,840,089,797,486,082,810,387,770,892,132,279,
105,649,547,053,045,637,155,510,988,635,486,952,708,063,862,762,782,569,988,
402,286,021,432,712,894,713,190,817,721,877,915,074,840,974,606,697,071,296,
146,289,003,643,972,931,080,583,669,406,988,859,148,867,623,492,272,488,008,
732,622,659,239,607,286,710,644,100,453,572,356,979,653,217,027,769,040,161,
938,332,100,669,443,178,409,925,440,913,822,096,580,594,568,625,224,748,220,
801,553,690,519,294,157,554,206,815,998,804,384,490,921,460,848,026,061,506,
900,122,570,637,726,576,811,872,130,112,023,887,070,970,315,327,030,049,145,
332,337,902,787,151,987,010,595,385,992,397,936,669,940,345,338,764,114,540,
898,849,769,240,002,438,796,910,465,512,802,305,366,136,989,660,337,171,979,
915,011,318,439,096,133,800,826,640,686,791,301,762,062,647,263,282,635,426,
870,096,540,103,918,374,895,575,574,333,406,264,795,297,434,148,192,082,506,
730,309,337,139,114,853,704,330,956,995,449,178,937,809,048,954,730,787,948,
597,463,578,648,437,655,256,725,926,739,811,010,187,737,214,032,930,782,592,
671,650,243,139,663,050,219,878,064,458,051,441,020,906,218,581,644,670,343,
061,606,473,461,603,378,635,845,451,449,913,224,763,518,950,226,626,390,494,
113,493,537,173,015,571,443,303,896,176,660,773,307,708,417,250,876,697,212,
912,433,103,611,049,720,750,021,834,388,884,254,585,334,614,498,785,831,919,
090,141,236,991,764,520,826,445,604,229,547,418,632,755,676,401,179,285,716,
225,554,864,671,395,748,238,646,677,379,607,932,285,528,999,559,340,422,400,
230,604,635,746,751,172,614,056,751,479,056,895,887,210,574,006,736,120,445,
731,072,935,045,297,039,107,641,084,482,246,959,785,308,456,264,093,244,405,
951,626,261,576,009,168,547,414,481,170,045,080,833,042,690,550,914,662,693,
183,733,912,567,667,564,330,055,794,577,955,481,360,150,411,343,197,241,289,
751,800,427,907,060,036,786,355,179,974,814,408,390,249,896,907,112,478,819,
322,325,883,099,002,435,066,031,815,530,219,757,353,191,487,735,436,379,878,
991,691,942,974,078,076,891,315,251,585,037,044,543,048,899,857,505,220,707,
884,603,007,413,385,594,771,208,743,429,948,100,936,346,052,925,372,807,821,
245,023,689,581,493,217,295,661,044,298,505,774,077,150,940,905,654,180,138,
924,245,908,930,189,139,087,308,625,102,744,826,483,834,794,501,644,349,714,
992,314,716,580,862,617,441,868,130,182,096,636,365,460,415,940,672,498,833,
132,782,011,742,018,923,445,331,053,303,747,430,829,273,960,094,232,309,224,
180,912,070,367,400,635,535,982,396,180,167,793,590,929,155,871,215,305,369,
451,927,466,295,009,455,760,845,702,584,072,545,283,680,118,430,309,009,402,
400,037,151,101,179,706,194,340,309,321,122,233,954,460,301,225,579,737,543,
574,568,451,899,029,349,980,880,849,581,422,218,034,992,530,693,169,888,940,
197,066,481,638,696,669,676,463,899,840,049,601,333,940,978,074,948,064,378,
131,071,378,254,959,303,162,324,631,188,663,685,246,045,957,265,085,077,411,
412,246,549,425,744,604,229,840,279,834,912,132,664,608,230,807,999,484,759,
990,726,764,463,343,344,095,646,396,480,617,400,660,601,783,191,013,922,966,
692,008,697,103,263,496,321,488,104,375,064,019,876,483,896,748,129,083,686,
103,392,457,507,343,944,908,804,129,493,337,627,260,709,475,830,526,681,950,
351,270,891,060,978,974,046,136,678,081,700,072,848,190,331,621,329,070,150,
401,811,138,121,502,022,420,424,079,200,582,759,074,269,200,810,374,199,423,
359,689,009,166,748,496,621,545,371,103,718,507,941,445,907,346,235,803,467,
504,584,846,209,468,995,054,600,219,725,652,917,870,018,619,040,664,650,938,
231,033,588,881,397,811,059,731,589,418,957,069,931,384,161,392,497,957,839,
660,158,612,103,731,612,781,834,607,894,008,597,440,342,364,270,689,018,519,
351,186,336,176,325,255,551,640,505,230,430,272,703,536,476,707,278,429,474,
344,260,755,757,273,269,197,971,168,051,123,552,810,436,366,393,852,261,132,
469,953,296,145,437,624,259,423,142,221,773,558,042,732,625,824,706,858,514,
219,823,513,776,636,568,469,317,179,276,116,347,311,458,669,144,954,567,519,
257,153,201,107,296,757,899,414,233,135,024,071,948,403,120,988,957,389,137,
522,682,120,260,449,311,950,187,826,260,989,907,502,760,632,147,714,117,622,
844,499,893,296,407,435,300,580,277,301,719,346,808,333,696,006,488,061,396,
065,462,225,860,195,648,459,421,145,071,669,376,819,387,608,630,845,365,384,
389,626,567,913,982,674,859,283,561,366,690,854,508,620,739,310,030,497,363,
588,545,420,003,435,540,251,359,205,000,785,965,904,770,006,389,432,303,684,
051,354,471,426,598,751,463,892,108,957,102,920,846,057,260,117,434,775,329,
758,088,965,414,588,259,563,891,369,036,440,105,527,084,844,425,506,897,610,
090,151,559,698,156,462,535,721,775,091,337,051,591,609,058,506,674,215,395,
555,704,013,175,964,638,434,617,780,545,455,008,805,229,307,463,918,126,739,
463,399,039,704,568,790,238,750,832,773,260,518,954,713,618,086,318,412,005,
910,152,242,916,076,190,492,052,343,872,169,033,788,441,262,719,066,194,825,
683,002,073,909,495,890,596,090,021,759,396,029,340,755,736,054,781,955,301,
791,107,976,408,949,101,384,757,745,624,898,304,150,150,465,767,609,716,366,
976,965,192,323,752,346,052,720,842,399,990,594,205,102,997,394,985,473,069,
295,818,122,639,132,686,289,240,772,577,078,906,965,526,322,736,567,852,208,
578,440,056,531,583,723,026,839,649,370,588,426,855,453,076,650,459,921,090,
828,277,635,810,858,759,132,539,362,299,011,374,558,545,733,392,120,107,309,
706,977,483,111,127,641,985,502,012,449,554,328,342,385,317,006,992,355,882,
604,159,388,291,773,370,932,489,557,138,320,276,629,472,905,768,781,552,072,
945,967,596,926,592,838,264,946,986,171,367,910,089,769,013,370,116,171,488,
989,013,819,476,583,704,548,445,306,782,021,445,914,962,537,435,854,043,651,
696,592,787,524,047,460,619,145,244,356,796,442,379,428,522,217,622,800,981,
683,444,287,909,520,487,426,092,099,091,916,606,495,703,520,034,961,975,519,
329,141,465,806,120,192,152,485,166,119,372,953,095,801,634,942,430,007,625,
024,278,762,984,236,041,305,198,525,592,154,923,199,446,802,778,344,637,706,
866,920,855,622,334,115,180,726,588,661,045,546,975,426,055,557,548,797,960,
400,432,696,738,316,656,504,686,631,442,183,697,356,638,918,287,205,563,964,
778,582,651,990,459,677,712,245,577,772,681,374,292,567,253,831,708,178,496,
058,863,863,560,151,895,835,916,495,794,335,184,883,298,076,875,005,165,718,
973,557,479,117,934,676,895,297,760,998,880,818,031,213,133,092,378,017,005,
247,803,107,937,658,737,677,622,673,411,359,945,599,112,622,582,512,109,506,
744,996,252,916,619,495,631,104,340,029,194,038,930,505,640,567,985,591,380,
867,337,295,633,532,474,953,592,192,313,071,011,360,189,235,459,170,264,464,
536,375,639,973,608,689,801,031,550,244,279,804,825,003,614,330,904,511,772,
663,933,387,483,887,803,007,274,423,021,385,779,096,100,782,278,836,841,515,
020,659,474,362,396,398,218,695,859,932,161,931,816,979,639,440,233,138,578,
722,120,796,202,162,948,809,327,512,025,360,310,842,550,662,964,071,269,026,
943,208,833,419,451,937,406,640,217,454,259,049,946,873,626,637,432,814,631,
977,056,439,525,394,567,861,712,938,577,020,594,256,856,093,834,584,767,261,
730,462,589,731,917,527,778,158,016,266,347,030,903,523,530,241,598,395,395,
297,171,910,150,595,295,695,805,209,564,307,791,278,580,472,820,741,112,674,
133,413,274,498,419,310,707,794,513,034,622,525,753,825,188,418,609,080,035,
937,586,351,437,246,973,625,986,827,066,909,994,268,725,751,783,221,178,782,
185,132,041,286,142,434,827,009,243,331,762,488,272,776,812,565,535,763,219,
438,937,042,500,174,902,811,783,314,345,782,805,386,382,972,897,537,588,261,
351,105,105,150,224,858,169,701,469,105,155,683,879,346,610,128,569,811,191,
143,174,220,118,607,077,024,481,265,397,056,539,663,071,089,236,105,179,135,
636,927,124,414,929,875,502,255,959,829,067,078,871,771,987,765,115,871,294,
705,943,281,961,880,305,188,072,643,515,679,394,076,605,192,134,185,605,431,
870,026,153,907,315,480,085,225,181,738,407,571,356,535,500,900,080,183,890,
080,854,717,217,813,584,098,697,520,860,098,302,769,617,961,411,010,423,362,
860,713,217,101,953,574,762,452,458,038,147,120,488,305,788,194,732,533,710,
204,174,326,662,588,900,204,653,378,573,184,045,326,028,997,833,926,743,726,
784,690,106,145,250,343,901,727,805,095,006,398,106,742,180,053,522,671,156,
655,626,161,906,742,963,275,606,974,790,820,581,935,834,358,411,142,825,935,
222,243,687,957,054,335,998,471,090,537,000,436,250,261,741,407,444,153,662,
148,049,989,704,641,800,792,524,864,305,052,691,709,218,976,354,454,069,771,
632,611,726,865,755,466,014,105,191,075,250,600,926,756,298,969,900,831,609,
763,537,120,705,538,908,220,972,953,215,176,550,917,403,421,056,498,584,737,
418,281,279,511,136,889,111,270,149,614,657,506,981,516,930,636,766,468,728,
866,496,102,000,629,832,897,854,392,480,346,593,036,679,042,554,491,603,247,
376,189,927,947,860,533,051,616,928,564,714,085,338,223,144,927,894,751,405,
176,574,172,297,019,731,154,270,515,112,249,803,739,540,213,058,368,358,022,
206,482,452,608,287,862,154,929,158,703,376,754,431,017,599,892,561,584,506,
704,163,609,308,445,273,442,419,793,024,293,465,493,268,923,538,798,260,029,
410,807,405,081,566,926,129,453,976,330,948,107,813,754,371,613,587,418,200,
117,381,098,975,326,245,747,997,790,564,155,070,525,493,842,044,860,634,990,
969,178,505,777,041,038,316,842,182,027,713,627,957,729,364,739,714,742,990,
735,509,738,787,179,555,103,737,120,212,163,387,977,607,434,715,908,153,880,
863,962,523,812,958,102,037,949,515,598,020,903,590,310,155,238,351,268,317,
029,857,364,481,242,160,416,076,054,952,137,976,257,419,858,220,220,655,814,
858,374,193,524,973,857,936,395,167,274,846,922,566,651,552,113,489,544,175,
324,884,842,074,015,751,615,752,245,874,097,477,318,760,015,833,990,996,652,
839,409,237,327,697,663,847,654,992,348,867,834,025,315,955,192,458,410,390,
880,001,512,456,725,365,173,289,264,899,915,360,490,684,623,972,897,029,018,
361,532,541,807,848,921,489,627,761,220,030,933,668,869,592,593,929,796,900,
124,625,683,821,332,594,012,628,873,889,226,006,740,688,730,066,503,241,330,
568,187,329,467,050,129,667,687,360,649,000,153,853,958,721,570,649,186,702,
317,113,106,373,555,451,859,574,733,877,527,630,003,794,230,249,258,430,773,
625,747,997,667,211,161,068,835,557,697,216,807,172,872,636,548,292,055,904,
454,058,097,898,980,734,342,379,679,194,619,724,241,107,343,858,322,451,545,
954,033,713,485,434,482,117,043,437,990,170,788,019,079,944,005,007,147,684,
139,392,674,598,239,435,963,207,213,535,093,163,443,291,642,708,800,626,169,
725,854,855,028,753,434,771,012,488,642,170,657,270,563,124,637,479,078,366,
852,024,807,267,001,336,011,037,378,535,620,812,568,184,459,391,393,157,592,
436,015,544,181,675,449,927,028,727,343,961,121,364,766,180,444,731,283,163,
316,484,379,919,103,373,984,394,803,180,385,709,359,822,119,655,098,157,953,
852,015,648,364,455,386,329,925,066,335,337,423,820,599,233,717,855,867,048,
677,783,348,387,828,436,634,748,155,479,758,850,966,940,948,385,731,682,933,
466,444,293,772,942,703,061,513,552,852,633,794,650,670,628,725,655,248,426,
316,222,338,740,329,837,067,598,463,588,992,719,021,172,361,165,044,968,807,
265,940,782,321,498,192,435,035,183,291,448,229,520,740,974,967,456,234,877,
948,219,104,172,200,371,835,571,721,004,792,602,526,813,840,075,733,760,377,
918,869,364,723,704,509,105,682,513,359,270,280,817,984,410,735,677,608,253,
454,584,271,300,250,495,060,934,438,141,124,600,412,743,081,722,620,492,602,
392,826,449,455,096,218,641,495,506,991,275,274,043,456,276,090,491,834,117,
957,780,162,949,184,064,181,209,931,045,302,472,346,861,892,452,346,901,890,
369,059,080,735,902,019,355,015,074,072,675,268,887,684,240,279,268,417,318,
684,318,621,784,625,973,964,624,499,704,039,606,245,090,635,436,053,926,359,
062,828,771,393,473,627,137,683,161,854,842,452,238,114,416,292,210,490,034,
383,227,096,725,920,499,483,081,398,541,840,548,882,524,121,962,907,755,590,
389,788,373,532,703,126,292,873,761,334,162,150,445,407,977,785,384,032,564,
824,815,385,084,863,318,134,957,864,164,780,474,507,045,638,480,365,077,785,
715,567,311,443,081,695,141,857,912,365,095,185,796,988,984,860,752,924,886,
560,867,850,582,031,068,997,910,470,053,865,438,649,434,148,072,020,699,054,
122,431,288,031,914,653,129,807,910,420,344,883,430,611,473,066,033,691,321,
937,966,655,181,340,789,814,243,381,311,502,613,599,971,643,838,743,307,993,
223,320,268,915,771,145,704,144,675,213,143,984,384,766,549,914,678,745,707,
747,647,590,806,961,124,441,644,676,743,000,635,678,657,570,969,504,737,281,
033,100,816,458,785,475,496,368,176,738,521,200,126,748,420,973,597,088,413,
025,215,130,137,510,904,763,983,225,479,114,328,976,678,415,540,124,249,559,
493,723,026,507,363,501,749,462,684,952,206,175,043,994,858,524,058,878,529,
388,547,034,120,010,388,979,189,141,543,591,952,784,316,596,134,846,925,051,
392,591,838,996,013,881,815,807,365,197,272,049,162,749,072,115,509,670,020,
514,368,738,152,004,757,435,799,813,455,723,034,724,964,488,800,816,019,495,
101,502,648,760,022,882,689,952,463,221,130,437,703,406,954,546,441,851,127,
950,163,969,621,441,482,430,401,660,267,694,885,286,121,133,282,960,084,400,
231,594,700,343,636,140,180,756,884,749,008,914,265,970,794,501,270,437,210,
696,141,626,722,548,004,908,306,425,874,345,897,583,879,959,420,708,394,486,
605,359,095,718,584,745,742,177,834,888,342,804,367,604,606,266,659,810,416,
893,467,198,516,771,877,889,333,599,400,492,408,304,174,358,980,519,689,596,
112,802,350,104,878,642,066,287,129,736,280,621,533,053,453,684,919,251,950,
756,766,316,116,335,504,928,269,342,156,957,844,400,920,652,735,513,777,252,
775,665,046,366,991,060,153,245,113,483,874,259,856,613,790,116,798,252,904,
380,563,440,161,655,753,414,142,345,054,203,190,627,433,698,822,824,630,963,
204,264,462,350,047,672,344,304,188,376,311,083,722,053,341,260,574,592,691,
905,156,221,771,679,010,551,048,629,295,573,506,060,569,283,524,437,150,564,
476,202,309,194,293,239,040,254,944,368,203,656,890,340,363,570,551,626,177,
228,866,198,687,878,234,959,599,694,179,722,822,105,573,906,374,183,146,884,
186,652,590,707,886,624,107,482,973,696,150,015,183,833,956,257,684,714,491,
492,282,698,473,026,500,190,621,664,926,061,979,414,531,309,836,480,794,043,
859,911,657,189,586,523,917,482,569,834,749,812,565,831,284,400,901,593,670,
684,138,763,320,183,308,572,273,001,949,669,747,479,447,639,658,954,303,885,
072,858,157,072,862,831,685,252,533,539,807,104,479,984,852,038,009,477,644,
220,311,977,933,560,634,036,750,388,085,058,977,091,305,350,233,817,147,481,
056,795,234,608,871,196,362,131,239,851,666,800,239,170,576,724,585,163,584,
635,720,654,683,798,130,809,974,474,261,036,737,468,274,391,686,835,538,882,
559,652,665,052,763,565,576,771,326,706,255,497,154,745,907,440,077,810,538,
728,807,261,419,089,444,930,380,702,934,912,519,757,360,949,516,444,513,024,
627,900,581,751,391,172,284,026,408,834,262,733,256,127,368,037,292,957,995,
434,990,300,838,318,959,911,779,270,272,322,732,699,809,217,152,348,287,994,
264,697,551,225,702,976,729,688,031,990,661,140,107,631,553,007,912,979,458,
260,326,705,033,078,589,988,242,660,130,713,355,726,675,952,062,460,896,446,
923,251,731,011,291,371,837,015,182,359,166,546,982,162,709,034,294,105,488,
996,107,970,824,937,141,586,733,230,495,095,316,225,700,973,171,434,871,580,
618,840,629,934,988,390,777,703,626,944,128,774,664,303,944,613,861,579,652,
068,658,012,799,868,005,683,620,573,430,433,121,339,085,459,240,179,157,993,
112,697,899,632,123,175,360,982,957,977,881,234,942,176,630,773,275,725,799,
440,269,306,718,565,817,742,801,540,452,601,977,048,078,143,831,555,433,916,
155,523,906,496,250,508,881,762,331,899,209,025,036,518,741,570,652,893,453,
676,573,229,689,313,192,767,173,795,371,003,251,086,297,726,581,577,013,960,
847,556,748,584,309,145,757,713,378,684,053,657,305,189,396,430,582,972,702,
634,824,682,099,054,959,390,931,845,752,090,030,689,423,612,946,646,281,447,
376,128,797,515,521,681,657,693,977,898,572,640,903,336,044,405,580,800,414,
655,944,735,833,600,935,172,996,676,759,798,817,574,136,548,053,273,019,673,
431,468,634,081,705,865,870,458,135,435,196,615,257,154,017,550,422,611,878,
275,730,877,339,267,648,716,954,845,737,667,820,494,516,292,063,192,387,890,
623,323,157,805,750,872,791,777,759,306,560,238,774,698,137,820,704,928,226,
366,142,597,459,207,530,798,295,115,615,563,332,984,375,048,017,820,920,414,
896,436,632,864,958,974,605,644,475,510,008,717,624,507,831,789,619,857,769,
039,434,523,379,473,717,840,946,239,541,636,916,683,565,017,544,255,888,598,
114,715,794,005,598,492,215,413,985,289,698,239,363,910,755,117,297,714,929,
147,200,175,672,624,830,340,133,063,903,294,540,888,473,703,943,151,737,678,
539,062,410,810,788,178,019,555,797,748,438,566,530,552,300,120,480,322,223,
360,495,876,498,591,143,839,521,848,330,853,600,155,831,525,936,024,547,148,
670,509,963,845,024,874,182,566,337,324,425,165,366,930,518,610,902,416,917,
926,388,373,003,808,538,723,089,353,284,538,861,057,392,403,489,158,247,762,
337,655,111,718,344,753,336,818,643,697,076,912,958,924,987,275,557,281,826,
964,341,383,733,953,414,017,879,926,243,936,751,897,124,403,373,024,175,647,
104,704,228,742,472,091,575,243,980,568,340,951,451,812,023,953,442,629,065,
939,473,410,058,327,010,763,736,415,345,288,807,861,880,039,178,744,375,918,
849,542,450,157,328,042,966,332,499,037,534,782,908,309,198,489,081,152,565,
649,960,097,644,274,880,434,286,092,109,322,048,480,793,301,525,489,892,789,
873,109,492,546,091,409,638,975,551,934,852,283,095,385,558,912,868,157,930,
587,785,379,144,281,184,996,261,453,635,491,085,884,845,604,803,348,194,364,
032,749,005,364,456,881,524,349,970,062,522,951,312,768,062,020,470,753,467,
100,015,531,878,815,953,028,671,731,879,514,181,664,317,047,302,808,408,411,
228,885,407,314,815,818,586,400,880,307,616,792,016,502,224,601,040,018,167,
199,298,466,762,632,158,989,278,675,338,290,046,931,884,178,807,064,450,456,
983,147,862,180,034,123,056,143,678,539,591,677,695,708,648,258,236,097,472,
098,002,776,769,539,562,592,512,828,999,907,903,984,751,204,531,647,277,319,
517,927,498,729,558,409,670,568,512,509,546,765,325,633,507,794,734,699,679,
667,829,063,273,795,209,702,449,296,341,840,222,557,539,780,401,737,212,012,
434,948,748,311,024,039,482,032,866,766,523,923,838,058,248,696,706,766,847,
901,500,990,099,641,557,507,505,551,064,061,808,138,133,946,635,515,640,013,
502,754,702,974,613,944,543,066,786,606,967,176,333,629,477,890,867,690,337,
985,323,205,862,509,738,679,624,744,774,067,741,074,179,625,085,050,088,961,
024,703,292,042,991,777,296,625,614,678,125,745,706,762,953,008,929,432,587,
481,508,528,311,811,326,183,408,607,819,834,128,763,709,441,292,210,962,835,
355,402,298,772,746,411,839,742,826,021,650,374,782,107,823,344,190,567,428,
862,348,627,071,593,951,641,916,738,794,517,154,847,375,172,408,920,598,456,
295,996,547,555,269,114,931,831,056,894,500,954,433,038,834,202,683,033,494,
397,739,895,887,262,822,078,632,444,680,261,821,981,255,849,205,249,790,869,
806,594,593,545,156,693,734,444,656,185,853,268,108,893,846,646,931,967,272,
611,743,004,031,543,959,908,269,496,334,589,731,803,673,320,489,157,035,376,
714,733,084,858,894,404,183,685,098,708,081,528,723,555,944,444,340,585,897,
334,069,351,654,705,264,628,712,604,963,206,723,005,924,910,005,539,730,566,
904,407,474,565,544,896,136,809,036,029,093,294,190,713,824,517,140,704,168,
523,871,021,858,432,790,945,720,386,519,344,157,210,719,328,371,670,716,223,
728,526,053,432,402,289,269,767,672,904,754,065,343,744,224,951,619,162,024,
327,838,024,095,081,881,165,168,923,425,745,687,296,775,820,972,097,356,327,
997,134,362,564,220,920,849,500,018,792,535,623,092,849,731,321,636,158,476,
150,615,232,466,975,644,544,965,595,701,055,723,164,411,730,196,057,101,581,
583,322,839,863,111,622,704,696,467,536,427,729,207,389,701,067,485,005,294,
562,146,429,737,174,952,007,562,449,174,996,133,076,851,646,328,408,882,218,
273,435,197,513,912,007,614,361,144,154,918,526,568,648,976,156,502,065,727,
779,575,582,377,547,967,979,878,293,428,303,362,260,374,461,402,442,178,523,
061,673,234,227,528,996,291,823,000,315,697,807,089,709,546,043,061,581,427,
835,228,502,263,636,465,152,438,871,096,519,052,123,595,443,905,236,256,533,
202,115,207,123,517,268,621,238,651,292,901,411,172,607,767,388,357,788,254,
390,120,788,365,528,421,976,089,919,180,918,442,683,207,119,640,501,914,358,
265,955,318,358,462,680,042,413,361,911,707,330,305,273,396,334,062,487,580,
304,537,078,003,211,297,120,552,796,640,742,921,834,072,996,115,345,668,815,
559,598,189,031,349,867,535,796,783,355,098,417,565,447,785,022,373,314,180,
067,017,038,717,543,149,306,885,060,926,166,113,325,862,923,056,756,848,404,
216,726,418,409,411,916,447,864,631,428,040,793,428,208,563,708,371,981,821,
786,144,908,111,521,274,010,505,256,825,594,978,959,557,306,905,433,578,498,
175,216,559,490,449,215,765,501,266,201,526,101,481,663,429,998,241,265,153,
853,744,628,730,077,895,920,827,160,882,254,062,413,798,266,013,462,300,904,
798,005,482,952,911,085,512,530,784,899,633,504,685,820,451,414,648,616,412,
791,752,444,824,804,196,178,514,003,056,021,429,386,751,275,338,230,978,081,
799,223,396,404,550,316,278,648,536,417,102,006,697,145,339,004,284,325,422,
046,698,872,471,303,452,952,238,921,718,851,325,134,793,311,842,272,399,439,
747,496,101,724,531,809,844,433,515,570,740,758,509,198,568,548,106,724,384,
305,073,035,645,550,268,316,628,671,546,426,660,404,415,823,883,526,006,911,
321,026,113,174,184,925,579,147,726,647,568,972,349,353,695,395,365,622,180,
902,761,705,229,489,585,020,354,326,337,128,306,804,975,553,378,520,079,150,
135,184,136,388,990,592,121,022,719,180,100,325,899,127,768,555,926,319,363,
605,978,762,782,077,385,670,543,753,304,754,998,063,174,128,477,331,665,548,
522,313,372,119,210,273,093,892,017,542,013,591,949,901,623,144,014,348,159,
380,868,366,520,159,932,716,935,883,274,658,687,160,943,342,704,816,419,089,
874,409,618,804,534,862,482,690,703,143,742,858,424,363,168,544,188,311,528,
408,515,053,623,567,880,091,287,544,365,251,131,512,387,668,093,772,127,118,
306,392,169,561,138,979,966,118,907,306,135,278,693,414,425,647,074,941,300,
331,006,288,484,836,944,455,911,977,400,498,914,669,848,972,972,822,444,474,
290,747,331,651,458,568,164,003,321,688,571,966,506,082,955,150,896,748,777,
078,219,851,096,952,589,937,666,392,219,472,569,914,337,266,360,144,168,698,
953,784,491,469,236,586,955,371,230,342,146,857,429,774,150,516,762,450,163,
413,490,201,341,987,934,289,365,296,220,265,688,198,360,295,296,340,661,390,
593,149,934,558,042,099,163,637,377,512,495,158,035,804,434,825,303,276,201,
246,966,289,933,770,419,168,600,501,050,194,492,417,423,685,914,404,121,373,
359,739,052,567,785,957,268,655,290,261,298,019,499,837,889,018,919,636,640,
790,757,191,749,566,886,431,467,118,584,270,064,989,743,083,209,785,931,675,
565,051,078,020,872,418,364,707,044,120,998,857,866,962,099,893,920,953,092,
235,771,302,132,220,036,794,963,945,023,384,522,275,141,697,869,524,619,681,
108,667,644,414,074,287,023,554,643,780,861,164,350,469,357,628,031,207,130,
587,842,346,377,364,948,497,964,152,505,923,268,599,020,485,646,169,418,543,
775,321,508,207,780,801,043,794,223,032,659,189,898,570,007,011,432,206,471,
782,372,637,604,566,942,596,874,349,363,194,888,659,611,126,650,516,543,250,
613,833,817,997,740,604,815,921,451,559,671,793,232,787,690,938,206,946,038,
960,163,221,649,638,705,331,856,068,326,221,325,380,812,047,861,727,606,916,
591,227,670,120,050,187,702,605,356,932,822,166,085,495,252,690,915,622,035,
175,772,574,466,612,610,651,495,073,691,424,552,380,807,450,996,352,353,492,
301,911,709,533,514,365,690,412,919,403,042,035,415,326,664,263,935,219,983,
980,450,767,018,092,022,446,466,010,113,858,367,941,106,179,212,137,361,839,
262,682,382,038,959,664,039,498,681,416,180,578,516,480,461,091,202,574,432,
857,768,746,649,708,149,156,284,541,305,154,561,872,464,164,900,460,631,987,
322,731,561,248,528,635,424,959,639,382,620,342,093,222,201,353,656,258,560,
106,652,705,578,388,728,893,562,267,555,648,106,088,265,976,060,494,226,508,
373,158,380,486,677,795,246,004,077,799,493,464,340,267,221,790,592,295,726,
289,377,198,723,664,807,926,419,517,477,103,239,949,869,432,476,489,148,241,
687,160,106,808,395,140,814,398,114,460,639,403,692,153,090,468,078,981,113,
583,595,043,480,151,862,648,050,236,887,962,243,754,644,278,467,855,251,246,
083,016,056,536,014,653,989,181,485,413,425,951,879,295,184,390,228,481,742,
108,640,883,192,832,585,004,281,532,241,513,303,991,111,443,747,505,154,759,
992,070,494,089,634,901,664,376,108,795,550,258,312,783,596,155,799,528,780,
294,657,888,116,804,980,692,884,323,311,693,813,377,287,152,707,310,062,291,
310,076,458,589,649,874,018,469,772,934,668,137,308,818,685,331,739,057,095,
968,353,746,995,296,279,310,927,487,342,283,770,482,015,363,703,678,859,204,
534,347,282,101,581,559,679,116,469,311,539,669,502,912,802,274,623,789,817,
647,939,745,377,077,568,116,534,583,342,273,424,863,473,576,244,126,112,902,
570,284,950,513,484,383,132,030,995,210,204,825,797,160,644,060,384,261,894,
367,742,349,806,329,507,729,834,324,387,661,202,657,464,026,977,197,489,546,
420,576,266,597,853,481,712,902,918,773,256,899,840,896,311,400,632,899,192,
672,922,668,003,821,837,665,689,701,550,055,352,031,378,164,340,389,415,952,
190,485,972,784,804,283,866,627,437,503,308,852,391,538,964,301,063,042,802,
616,820,452,006,739,284,778,849,803,234,741,193,375,063,956,219,640,277,033,
277,936,900,061,130,340,769,947,243,960,337,592,089,599,046,095,027,916,610,
946,666,530,639,394,639,560,344,611,519,714,556,284,135,489,399,006,570,988,
483,461,223,727,154,364,943,711,812,290,977,926,349,900,314,553,297,194,690,
630,521,799,958,500,663,529,070,635,121,177,440,075,072,199,637,120,073,962,
147,071,038,569,056,871,179,964,587,778,687,371,153,056,226,457,752,576,716,
320,260,451,956,922,423,354,050,796,013,515,018,787,814,300,759,675,214,931,
029,426,094,857,564,103,300,904,766,156,967,624,860,502,041,166,799,906,370,
763,174,698,609,457,245,399,679,747,425,735,484,717,896,292,369,309,218,621,
107,461,107,278,078,406,284,232,840,900,668,310,460,124,594,638,332,665,773,
334,859,686,844,932,172,189,335,780,052,472,283,125,314,293,109,209,092,386,
907,694,848,008,782,129,741,519,795,699,780,349,104,317,272,267,678,712,629,
643,861,501,140,839,722,225,062,549,746,391,661,836,807,546,709,108,255,546,
632,118,738,060,844,976,487,320,276,196,795,328,927,202,829,368,839,474,521,
084,327,345,278,555,157,542,986,314,868,592,828,130,172,026,975,582,525,992,
016,787,994,889,232,676,091,991,037,348,272,975,572,233,202,165,632,096,004,
014,487,548,963,356,596,151,380,951,769,913,853,856,938,860,169,160,862,890,
772,249,710,058,948,913,308,020,280,864,762,831,435,420,095,750,157,067,987,
847,537,500,135,489,014,664,305,451,911,392,607,718,031,870,528,115,746,006,
480,464,204,440,212,074,297,178,596,235,290,520,635,900,888,812,227,437,395,
535,658,481,544,306,018,638,801,100,262,563,234,374,342,842,606,560,444,087,
237,937,405,455,439,208,726,171,802,387,833,043,271,654,606,858,877,346,769,
285,767,636,334,620,472,466,668,474,997,442,260,672,816,970,375,026,651,999,
067,949,617,809,766,717,164,808,822,089,480,513,544,935,176,816,487,972,715,
683,039,991,307,984,676,020,545,192,622,335,961,125,898,039,615,402,690,403,
178,049,584,330,724,755,868,077,768,361,019,991,883,331,677,761,986,338,653,
256,990,944,415,167,906,174,946,967,681,963,517,590,808,038,964,311,912,986,
026,672,609,258,315,288,294,945,509,665,948,232,921,639,693,557,201,176,454,
874,040,059,803,187,343,740,509,339,369,025,048,958,202,350,577,656,203,341,
148,996,516,597,246,611,572,098,093,565,789,923,142,627,560,358,856,035,566,
883,541,365,901,062,617,286,306,510,112,166,116,085,995,146,660,796,531,207,
157,144,737,410,278,896,112,897,332,993,279,044,871,594,936,392,377,104,298,
708,774,277,461,414,516,350,536,715,075,175,702,284,881,870,733,091,653,463,
908,041,908,002,739,709,767,951,158,497,846,752,745,738,525,005,634,257,860,
947,503,338,773,716,100,965,073,225,792,675,942,045,484,391,476,756,062,658,
303,004,278,133,887,888,277,241,046,566,188,785,617,694,796,285,984,817,080,
592,839,781,962,806,729,661,588,466,801,635,122,278,116,216,294,624,626,856,
622,679,306,329,884,888,990,909,709,336,750,189,040,617,118,160,302,789,197,
589,157,936,580,660,167,812,307,789,828,805,612,258,754,083,487,569,435,014,
595,716,038,415,063,988,746,214,112,696,455,238,794,535,531,857,576,412,263,
515,460,012,106,338,995,716,748,970,922,916,761,403,106,592,277,062,911,124,
381,982,518,686,003,599,775,361,382,370,783,596,394,722,735,583,967,551,646,
716,049,940,916,560,357,412,980,205,007,765,441,520,295,796,500,534,773,349,
498,948,910,629,508,800,470,511,385,438,776,046,793,835,410,608,111,774,723,
347,837,260,371,258,777,563,728,988,845,242,402,924,845,097,663,194,234,101,
021,598,249,440,133,972,908,741,801,594,768,659,371,563,989,196,929,783,943,
969,135,920,163,373,826,469,527,362,820,415,596,662,525,481,668,710,045,504,
394,135,590,747,552,935,189,308,952,761,961,341,523,853,698,967,231,211,217,
038,234,888,134,712,233,298,833,407,413,353,389,220,731,837,219,304,527,539,
007,712,028,761,956,607,471,627,946,337,136,329,085,736,738,698,948,755,541,
186,018,189,750,049,809,641,251,690,190,852,604,943,311,905,585,841,577,518,
589,184,791,630,764,173,434,901,201,818,424,686,250,831,022,865,903,815,847,
326,086,827,578,567,536,045,220,650,504,499,565,498,746,992,263,262,716,359,
593,092,409,331,363,835,348,552,140,202,401,876,901,213,170,610,252,138,884,
752,762,386,907,980,851,556,678,101,834,414,310,790,001,028,642,915,313,992,
143,527,802,891,261,471,695,988,628,842,328,399,558,686,248,859,492,714,148,
489,132,704,546,558,226,750,765,070,682,189,486,991,749,015,925,628,565,990,
431,264,175,739,668,510,779,654,430,108,202,542,607,903,117,782,026,281,644,
086,439,360,503,389,889,331,861,652,251,593,598,651,540,977,607,353,899,314,
213,983,397,192,282,876,524,850,428,860,511,067,038,469,529,450,156,226,926,
896,386,434,028,571,949,896,427,360,610,233,361,337,609,754,951,615,506,472,
782,884,274,160,112,757,897,525,136,659,050,609,305,670,026,407,260,772,201,
202,667,721,386,642,535,451,277,615,388,354,523,560,647,161,664,745,148,396,
928,813,469,079,631,091,492,655,429,354,982,069,060,355,350,278,304,935,103,
875,661,848,007,854,217,500,553,789,937,706,408,218,471,879,622,381,115,110,
403,455,511,333,809,204,641,100,582,126,071,054,747,432,481,345,735,334,259,
533,661,143,060,225,902,665,952,538,110,567,515,355,035,096,583,028,470,556,
912,273,403,119,727,677,736,692,319,545,128,632,261,743,989,778,364,268,930,
423,967,508,237,744,292,277,708,145,760,000,879,884,864,550,388,346,040,052,
485,783,501,569,886,171,697,930,449,044,821,892,339,862,811,717,312,117,948,
091,485,578,170,570,832,608,357,123,678,808,005,721,492,948,529,515,847,335,
444,509,712,068,682,024,488,535,352,293,447,118,378,115,496,021,555,157,293,
218,265,680,451,372,766,757,483,951,742,411,159,578,211,591,590,435,142,555,
576,592,977,557,600,826,413,148,709,039,883,838,849,009,861,738,461,835,227,
219,934,956,964,757,941,481,594,985,371,547,831,157,598,011,415,157,175,035,
390,180,336,379,933,959,905,804,058,603,281,993,314,206,433,880,685,614,757,
934,079,865,580,714,265,996,175,626,272,378,280,636,039,059,309,659,444,369,
896,143,793,271,176,808,416,740,691,893,772,760,272,245,867,613,479,556,024,
339,912,761,702,600,289,308,856,256,033,381,792,055,857,705,726,218,530,425,
812,025,771,167,790,646,720,648,775,966,795,749,578,541,033,466,708,052,421,
692,460,325,583,439,746,060,767,957,051,479,461,820,156,960,187,782,062,839,
687,163,967,987,459,128,957,842,374,273,326,231,608,946,722,667,263,733,545,
322,278,483,248,055,285,497,508,426,782,034,573,176,250,920,501,044,630,443,
447,023,958,396,294,943,891,674,352,023,691,759,865,816,959,093,765,571,571,
512,369,228,337,789,334,865,405,679,691,875,245,595,393,709,680,223,244,210,
962,962,966,179,969,903,568,396,275,140,875,467,181,068,129,514,783,024,371,
726,337,983,156,568,994,658,496,062,486,320,987,317,073,158,126,457,809,773,
382,570,540,404,819,167,441,278,041,472,921,226,568,808,856,456,596,501,822,
235,892,494,124,448,741,832,853,204,235,313,376,565,823,227,001,506,970,701,
143,197,540,243,953,984,689,102,487,899,118,125,832,719,762,783,069,840,142,
158,277,320,823,109,554,783,544,525,035,876,746,997,709,937,381,136,916,825,
205,453,122,765,970,761,875,207,919,453,895,487,890,407,531,621,272,868,712,
235,068,032,978,056,761,079,051,648,579,993,684,311,334,949,516,231,422,064,
537,997,601,166,031,342,856,500,482,987,958,217,083,630,120,596,049,863,793,
171,363,020,253,402,847,017,355,420,133,177,839,254,136,002,133,416,283,120,
892,957,980,030,818,933,911,286,124,707,104,753,867,630,999,926,771,400,888,
209,235,062,160,661,391,789,028,627,076,328,301,520,739,831,907,735,938,742,
753,338,709,824,192,121,404,284,334,327,184,381,241,378,178,942,113,950,935,
313,397,042,446,319,499,787,293,003,093,505,274,319,820,715,299,291,185,597,
239,406,610,339,116,705,607,550,255,689,773,514,135,560,405,761,986,913,642,
046,294,783,058,138,140,450,068,521,458,885,675,096,250,837,676,695,059,028,
691,639,768,121,689,185,512,865,552,967,682,867,940,882,067,230,918,311,872,
669,487,616,668,683,180,701,443,792,164,840,195,988,648,960,119,683,881,966,
346,996,908,529,700,875,475,393,136,861,189,913,877,291,872,207,032,845,857,
310,746,926,554,645,284,270,963,912,958,428,179,912,837,533,508,849,345,739,
574,613,460,158,940,449,898,304,167,791,153,147,850,967,562,038,081,288,523,
755,288,395,538,548,860,626,516,353,973,995,679,389,956,931,507,689,246,261,
489,619,212,961,848,499,521,900,163,969,528,842,542,454,080,352,307,080,954,
185,282,380,987,711,023,233,317,862,716,653,493,560,573,164,326,867,787,073,
067,581,441,570,772,388,874,275,652,131,340,167,432,360,637,634,851,208,704,
570,750,378,332,516,226,946,309,880,851,338,055,433,935,261,880,579,682,291,
317,505,239,865,682,756,500,124,629,052,373,270,862,418,634,975,120,301,773,
926,860,896,882,722,051,357,080,621,202,098,194,866,902,459,611,980,638,397,
111,891,411,976,147,949,318,265,467,532,076,427,410,556,876,596,864,600,598,
961,805,361,006,027,270,027,532,102,782,827,152,610,546,331,138,762,714,367,
699,165,688,564,946,410,602,788,637,481,057,278,355,525,172,499,182,898,790,
592,191,481,971,695,673,028,953,351,179,347,364,931,791,456,581,875,847,815,
718,468,392,791,932,044,421,767,923,036,641,992,643,382,668,020,738,146,118,
126,096,527,943,838,014,087,844,516,247,544,689,237,030,482,730,866,071,237,
806,921,247,383,361,053,547,311,767,902,186,879,454,669,613,289,379,955,440,
556,073,522,135,894,118,999,347,367,708,020,985,595,838,864,075,183,906,392,
076,512,527,611,023,932,706,416,240,996,496,782,329,445,412,180,137,485,495,
881,890,157,735,462,190,037,098,438,689,508,213,345,985,130,161,427,668,836,
315,124,505,926,013,670,053,521,982,237,596,442,833,312,419,882,718,345,114,
738,277,399,630,032,342,888,775,919,861,433,325,927,381,894,929,777,662,532,
174,473,965,449,873,890,929,589,237,409,101,748,141,781,741,622,054,316,208,
630,891,443,975,085,518,299,488,589,119,912,088,081,451,249,108,568,335,887,
005,025,140,440,444,780,026,960,695,603,215,955,992,634,072,675,430,152,937,
557,501,874,386,564,717,195,713,627,209,822,036,478,542,956,956,320,224,262,
115,277,797,438,706,916,159,769,704,480,030,803,644,184,946,512,676,518,618,
557,076,531,225,383,528,059,816,344,697,998,745,543,236,279,278,758,560,027,
912,867,174,569,672,028,877,706,179,335,259,158,932,374,164,920,122,934,608,
651,783,802,289,969,156,478,558,080,210,891,406,897,824,508,610,825,044,812,
383,845,131,294,832,361,617,036,753,315,610,419,556,093,117,341,197,981,475,
568,494,870,407,691,019,166,621,747,986,514,934,278,694,212,042,262,211,323,
388,023,004,646,784,217,200,847,535,086,377,986,385,239,916,661,626,141,262,
109,089,594,816,952,340,526,337,966,726,504,831,491,725,939,853,089,207,763,
392,130,704,044,254,685,843,486,279,249,554,408,867,693,253,377,011,839,112,
692,591,873,748,588,860,626,275,311,351,931,081,360,488,734,267,484,498,309,
289,607,866,760,665,546,491,490,207,125,814,887,508,410,710,011,546,755,228,
073,439,463,163,499,319,731,101,250,549,952,204,815,015,182,950,130,857,705,
335,411,235,273,653,758,666,378,592,545,850,619,095,939,399,815,321,489,263,
309,923,005,126,496,447,722,403,904,447,633,749,848,500,147,216,502,557,381,
347,924,328,756,997,890,266,955,362,719,901,739,483,653,463,187,731,761,962,
885,909,631,272,634,710,452,216,506,936,129,551,796,447,433,475,287,580,775,
792,767,700,372,880,231,404,811,207,139,213,837,214,988,589,206,927,585,551,
097,511,722,129,054,845,840,473,414,353,174,438,648,290,466,642,293,562,576,
521,488,882,623,411,505,723,601,823,039,130,765,479,295,495,446,917,939,279,
705,403,662,652,572,388,951,491,495,151,398,002,687,322,719,540,532,321,491,
835,414,343,689,631,801,775,180,241,110,772,870,164,915,791,312,488,530,028,
567,414,948,566,111,148,822,028,440,130,818,707,353,725,802,955,663,619,593,
933,221,465,871,741,437,794,221,355,493,703,058,747,128,367,587,320,371,290,
252,596,728,256,214,216,351,282,632,865,869,930,628,007,101,895,865,895,536,
709,794,579,369,991,901,696,662,789,423,867,825,583,001,166,833,821,070,683,
369,797,597,517,506,598,870,437,477,270,757,561,716,236,683,113,125,472,538,
787,935,730,573,281,192,263,266,524,386,977,455,105,037,465,991,806,357,384,
248,953,671,961,715,798,644,524,086,884,090,819,129,659,684,653,953,791,577,
912,169,034,227,683,495,947,529,806,727,739,030,584,589,350,663,759,825,982,
363,062,347,331,348,574,143,212,185,042,073,962,503,712,806,916,965,993,868,
289,366,323,889,010,956,946,591,680,130,133,474,221,499,988,606,013,574,348,
192,569,776,430,983,780,034,866,032,922,745,872,848,030,630,126,016,142,062,
479,213,772,708,052,746,326,907,269,645,612,624,303,482,379,998,462,756,145,
672,688,380,623,252,136,339,245,933,249,802,163,807,249,347,498,579,674,162,
973,884,893,613,555,523,222,241,886,773,750,262,486,799,052,902,965,309,733,
358,332,041,454,258,403,743,163,846,360,644,295,609,932,771,388,573,297,584,
984,349,059,391,569,040,499,722,479,972,581,771,114,032,243,104,999,915,580,
121,730,315,945,638,307,920,466,181,482,120,381,779,555,651,242,075,653,448,
082,056,045,266,204,889,958,482,586,260,332,874,374,395,591,734,938,080,116,
108,765,021,264,923,263,082,567,847,050,901,946,009,350,272,587,486,409,851,
501,606,249,806,497,175,981,802,997,611,768,035,848,298,075,305,653,493,853,
616,696,290,746,786,245,953,742,305,432,731,244,894,975,554,975,591,438,704,
752,305,246,067,549,379,501,217,212,814,756,184,734,759,433,929,520,518,970,
026,271,428,909,777,236,731,176,423,543,832,532,251,823,690,242,856,466,437,
084,062,525,397,713,801,384,224,017,424,011,318,108,797,234,113,369,095,944,
882,589,579,657,753,517,609,600,649,485,325,204,700,527,746,462,226,584,494,
197,087,548,423,068,659,657,428,023,992,208,959,282,942,310,325,833,771,898,
505,696,863,699,288,766,737,104,301,941,752,024,929,247,988,545,946,444,692,
501,924,950,443,619,013,246,957,040,483,472,356,652,623,356,245,733,872,314,
488,678,402,285,533,400,461,274,190,625,581,068,455,736,127,095,935,950,540,
079,452,069,229,097,794,498,656,156,044,353,139,684,090,817,431,048,153,369,
513,396,044,283,757,578,034,847,860,039,019,986,122,003,768,171,392,606,293,
686,438,771,541,090,970,844,210,025,663,024,432,353,857,218,401,489,923,099,
815,374,017,121,062,730,681,147,910,397,129,639,548,876,245,568,709,699,185,
782,466,989,783,278,347,416,544,949,236,005,305,817,690,808,580,874,225,156,
993,634,864,918,130,279,598,469,471,045,905,161,558,419,758,610,859,395,044,
621,999,395,303,301,527,340,313,164,218,222,633,535,386,289,968,673,828,692,
886,294,705,131,294,417,178,273,510,950,543,864,128,864,925,831,108,798,212,
169,363,680,194,088,031,417,768,989,348,361,633,848,111,886,805,036,882,306,
470,112,023,396,820,368,636,824,806,410,971,558,021,541,021,339,763,708,916,
300,372,314,200,527,736,190,398,922,059,980,605,841,777,997,576,047,462,553,
250,186,265,369,235,141,733,697,334,296,771,570,102,190,468,982,346,301,213,
632,730,952,383,249,115,941,248,902,649,852,188,637,136,531,552,309,672,631,
655,230,563,666,819,140,212,875,661,304,565,820,356,643,735,429,498,126,332,
236,903,504,398,401,511,261,721,858,994,211,567,270,486,167,693,338,508,172,
827,128,308,056,575,931,274,826,219,492,651,222,386,471,403,736,779,886,113,
208,489,033,288,284,266,124,047,642,823,379,289,971,312,116,190,087,658,650,
256,185,210,351,466,052,164,615,889,835,321,840,805,425,222,681,785,264,090,
305,799,236,723,036,848,595,447,372,018,256,744,794,211,277,663,115,889,470,
012,739,538,324,656,116,982,318,973,843,017,076,100,721,048,900,100,703,034,
435,121,217,380,638,384,090,934,000,149,337,377,115,217,679,792,046,177,139,
613,432,903,602,706,148,881,964,218,272,276,098,668,712,738,073,914,971,614,
951,725,841,854,063,204,209,264,250,528,241,859,271,780,478,526,548,305,309,
184,856,015,622,855,484,913,518,664,600,071,061,116,464,214,316,264,736,424,
495,450,212,761,877,226,788,343,983,204,161,437,174,962,151,269,617,595,857,
292,939,128,807,253,372,278,718,749,359,215,384,247,675,644,948,743,128,318,
139,769,376,811,848,761,791,931,011,833,081,867,624,127,360,201,765,324,185,
075,287,708,905,530,352,049,610,070,552,744,515,512,871,698,925,746,024,599,
523,422,561,783,460,758,259,103,930,871,959,022,623,007,596,558,087,045,516,
182,611,517,710,449,066,209,180,532,532,777,615,528,073,858,841,617,479,209,
363,224,839,308,090,981,748,697,889,942,474,049,999,567,605,963,954,515,537,
438,916,654,217,737,049,083,471,188,354,564,729,777,408,397,823,807,270,169,
533,744,995,726,629,629,165,756,757,408,333,428,946,153,870,639,231,666,597,
864,120,718,896,704,466,275,397,869,599,819,312,205,155,377,145,764,611,666,
475,154,545,577,872,037,558,416,574,309,462,937,771,263,793,985,627,304,885,
840,193,350,616,090,818,733,459,370,020,364,173,762,329,975,751,375,840,140,
187,274,968,946,846,003,766,529,237,938,662,102,104,588,721,120,791,661,538,
216,576,956,395,057,815,929,758,913,153,642,321,182,279,518,385,279,893,182,
890,700,675,209,061,455,157,857,441,158,358,477,771,544,308,133,155,747,433,
991,039,641,454,452,033,363,694,931,305,835,435,849,925,057,100,303,791,846,
977,440,531,605,489,300,446,944,152,191,515,467,328,585,229,729,970,614,502,
153,618,325,072,184,581,069,243,365,725,509,908,198,506,480,183,046,684,814,
258,830,419,779,498,283,083,396,896,712,298,053,045,832,657,691,418,138,363,
206,427,053,292,130,974,614,790,252,268,414,399,203,859,364,484,350,250,759,
825,091,180,003,495,782,795,017,324,480,457,945,174,928,084,158,119,888,808,
709,119,726,979,680,676,638,025,991,265,320,055,481,411,267,609,864,253,009,
309,589,019,387,324,151,532,983,078,422,597,022,206,333,473,451,815,076,927,
336,871,591,575,507,484,723,938,647,104,220,145,371,333,558,271,920,879,032,
096,805,995,860,477,628,794,855,383,274,918,664,179,325,315,646,763,051,488,
878,180,684,672,241,344,951,871,387,794,272,329,235,252,714,355,065,403,473,
064,424,503,015,243,032,686,236,161,178,057,291,923,755,377,292,166,558,219,
262,432,267,100,184,192,422,436,981,601,883,035,252,634,014,404,819,856,819,
131,586,717,358,799,648,405,960,444,157,300,223,912,361,972,978,599,943,968,
375,490,886,094,810,820,052,161,709,788,079,173,067,442,143,874,160,965,142,
359,063,028,224,642,375,804,110,830,325,192,694,598,818,575,263,513,666,650,
905,777,847,568,955,656,263,485,077,996,294,286,599,744,464,416,178,102,741,
859,082,621,072,171,589,959,514,446,261,070,194,381,180,272,054,375,833,309,
472,611,864,395,190,859,512,138,968,916,887,947,368,653,136,319,524,881,468,
194,694,939,036,813,778,121,013,285,742,489,356,219,634,674,348,649,199,222,
109,683,513,975,545,898,671,447,477,010,687,642,850,076,351,875,085,354,467,
907,068,992,632,408,307,464,867,242,684,815,999,305,925,672,371,814,204,034,
561,248,489,644,984,709,015,516,350,101,989,308,862,644,372,586,162,319,304,
600,025,448,666,098,646,523,363,902,843,387,307,510,385,907,087,118,196,181,
974,075,832,750,463,680,181,321,442,363,119,227,393,833,032,813,925,686,283,
264,252,651,673,550,937,893,776,343,074,992,316,708,959,007,566,897,989,571,
321,515,100,950,937,005,500,219,957,463,806,670,203,606,735,740,925,109,645,
524,565,844,799,517,329,726,328,501,647,179,717,104,324,735,282,684,708,986,
768,652,044,882,129,158,842,337,654,778,280,620,951,065,236,805,136,252,692,
875,800,352,315,925,371,577,917,022,572,819,882,172,427,681,988,714,346,789,
785,670,066,351,609,624,985,027,044,703,661,620,394,525,418,803,627,384,014,
533,542,180,862,271,731,166,850,530,651,090,111,238,831,446,215,168,438,508,
127,730,512,227,462,725,975,376,209,786,539,675,058,934,072,813,000,127,314,
821,133,104,410,055,611,696,981,717,905,583,538,579,386,395,743,204,025,132,
612,653,156,438,694,800,432,347,632,913,730,384,525,307,217,759,892,683,914,
249,281,952,453,746,659,972,234,305,502,139,401,804,482,233,949,692,429,044,
334,510,225,314,165,062,735,900,769,562,647,469,586,763,734,181,291,163,533,
332,016,267,127,277,814,969,737,322,028,611,463,654,062,207,943,164,747,455,
423,291,008,227,436,211,699,663,067,185,033,963,779,786,988,244,769,149,910,
723,544,572,079,624,383,989,987,756,440,373,307,647,673,848,521,548,964,359,
215,274,453,880,093,601,765,935,041,671,669,019,355,678,187,478,247,357,864,
203,959,030,794,690,228,096,174,789,187,143,226,243,838,184,761,906,589,709,
365,057,445,485,338,385,674,278,478,541,852,327,970,077,154,171,355,882,166,
132,038,399,483,566,178,492,978,470,746,814,936,044,807,952,860,907,076,890,
533,892,775,477,061,092,020,101,692,097,330,727,635,427,656,143,964,902,944,
856,803,509,594,476,405,489,735,820,910,307,671,593,239,253,191,225,271,762,
267,923,841,500,977,762,670,407,301,436,903,439,223,983,233,670,788,263,628,
151,570,039,404,064,789,611,534,287,689,885,815,552,673,396,044,776,797,505,
679,601,553,001,410,343,784,779,194,144,057,437,860,859,142,608,325,196,353,
775,009,507,295,088,355,998,955,124,865,975,773,172,254,256,812,081,403,392,
115,620,598,970,104,660,453,877,367,977,807,274,752,785,533,552,501,241,621,
312,173,330,258,645,939,170,261,784,298,061,054,242,119,273,971,171,260,673,
575,550,738,265,277,460,305,901,505,999,501,695,996,042,757,848,522,129,064,
001,956,640,654,801,582,535,225,181,875,860,257,264,243,103,986,142,928,076,
822,998,188,875,542,073,125,294,655,642,642,903,978,228,910,203,122,859,611,
210,020,724,427,047,829,348,454,511,428,368,117,384,202,125,443,322,253,165,
856,159,778,463,246,977,959,094,703,166,155,769,144,657,993,736,171,241,063,
386,570,255,501,961,303,381,648,829,020,882,372,715,773,972,636,722,134,291,
850,858,214,220,251,541,436,978,413,973,574,469,009,444,088,045,629,292,388,
375,377,652,714,462,341,664,418,604,878,366,185,342,913,786,256,183,805,293,
272,628,778,577,581,070,892,582,218,613,473,941,506,564,982,282,425,026,516,
646,003,710,224,386,887,915,046,186,712,229,395,061,717,357,842,424,193,362,
803,891,582,194,814,772,416,671,489,775,938,241,628,246,472,545,421,416,167,
376,634,615,182,900,081,852,239,711,494,805,835,675,136,620,462,622,900,045,
899,835,620,456,674,683,221,040,781,109,665,936,462,811,513,845,975,295,928,
366,711,198,552,589,708,822,399,446,544,376,457,273,678,180,985,373,470,470,
518,932,029,514,141,085,287,211,592,343,992,365,328,032,088,024,122,860,478,
226,897,771,459,031,455,266,733,966,932,883,139,249,077,961,605,910,232,261,
186,070,536,757,093,572,546,267,731,640,412,598,572,445,427,969,793,990,651,
317,368,028,516,239,969,753,097,853,539,614,902,621,134,593,098,925,967,151,
927,212,960,589,309,231,909,595,078,038,090,136,875,267,226,750,652,172,072,
740,020,610,430,507,273,583,431,846,594,281,107,439,885,638,237,554,903,696,
715,848,996,460,558,036,349,790,063,966,028,078,403,965,956,578,804,567,881,
179,400,531,510,304,935,855,716,998,837,623,690,680,594,335,400,202,280,970,
639,288,730,028,369,421,978,866,198,205,730,320,311,121,517,147,673,490,888,
468,438,781,120,382,098,285,543,696,560,866,987,053,552,775,766,998,837,432,
072,543,768,489,287,940,363,070,063,119,290,608,484,667,630,067,500,265,249,
261,366,246,031,112,936,075,072,760,860,479,419,006,716,294,243,729,595,884,
579,239,512,975,026,249,003,764,688,964,799,156,665,174,199,685,250,532,575,
912,823,171,457,195,672,812,986,973,252,255,286,190,876,247,910,124,325,444,
832,886,418,118,662,326,909,764,875,733,500,056,778,708,960,190,041,141,855,
023,947,455,067,704,201,781,272,954,383,853,224,144,741,911,679,717,800,333,
483,107,353,514,477,780,452,359,296,067,756,851,699,366,870,597,654,407,244,
562,100,409,940,758,145,431,359,439,185,673,187,662,850,173,459,138,897,031,
039,106,662,335,708,646,311,505,563,412,766,208,113,597,293,946,188,105,882,
298,732,553,503,126,944,650,723,374,173,512,790,038,763,402,438,663,423,600,
341,870,300,373,837,361,826,851,399,401,278,271,221,985,763,698,609,960,811,
394,904,420,001,760,123,608,943,268,170,462,056,441,424,253,962,631,309,372,
745,384,153,554,849,080,384,927,047,645,531,935,510,448,004,058,981,405,427,
563,622,175,789,716,290,301,720,420,362,641,238,463,715,695,500,280,024,097,
551,046,632,340,307,072,274,201,214,690,144,216,672,346,776,455,394,197,757,
026,294,561,966,140,781,136,829,543,472,517,390,358,018,351,706,072,983,481,
890,548,165,117,772,590,525,999,601,494,067,112,862,507,208,703,508,774,844,
439,264,480,050,169,831,872,715,787,136,222,074,330,617,348,490,220,473,466,
986,775,672,014,132,007,051,663,389,280,489,886,457,489,553,511,700,512,297,
375,976,750,301,138,971,103,910,541,810,284,863,910,903,837,696,331,318,213,
877,819,975,006,125,124,092,994,800,871,054,096,300,711,109,652,153,900,485,
666,084,425,477,439,960,130,615,811,851,707,841,874,937,692,755,029,724,720,
602,424,545,727,681,446,348,993,677,138,799,974,524,591,122,142,515,258,024,
070,821,468,469,908,053,386,902,804,338,688,857,316,018,087,612,096,649,701,
296,366,249,336,077,753,259,337,321,102,640,249,628,836,731,911,769,761,564,
970,746,428,449,573,706,612,294,828,561,128,409,735,333,916,410,770,919,381,
402,249,523,837,377,355,091,243,863,610,786,395,813,895,379,018,896,869,470,
094,089,252,054,837,698,420,309,888,387,876,047,344,212,339,354,302,108,018,
447,392,525,952,143,473,612,894,220,705,015,098,142,121,568,613,501,886,795,
270,404,449,102,492,681,182,320,690,593,781,069,047,428,714,843,743,193,194,
158,233,101,657,912,918,684,697,501,455,463,715,722,516,995,665,644,267,949,
247,852,856,663,533,297,754,460,925,041,952,397,963,163,892,213,702,963,532,
116,501,416,697,358,597,977,655,894,043,159,214,570,381,755,957,283,960,567,
721,311,684,658,120,349,361,043,892,174,277,781,369,840,534,584,316,203,425,
693,216,882,363,547,258,130,517,565,028,955,750,765,146,950,225,188,176,666,
103,448,768,910,813,465,192,298,722,060,867,592,164,473,270,437,610,106,821,
662,375,118,616,607,153,837,380,652,780,512,886,987,398,933,603,708,727,955,
843,942,203,076,917,734,806,696,391,048,197,262,192,182,867,350,518,684,689,
383,660,916,760,411,587,526,178,575,150,092,715,936,450,567,151,129,142,924,
273,990,634,725,283,991,975,248,495,251,425,458,528,983,423,988,097,776,321,
473,818,506,847,435,555,486,597,678,475,676,348,938,590,317,184,773,737,470,
217,187,204,293,100,076,451,092,044,100,158,898,521,392,206,509,125,547,585,
256,369,654,670,197,960,413,581,279,214,818,595,542,045,924,832,295,591,690,
241,052,498,429,139,491,992,842,570,115,796,442,676,087,460,011,825,557,117,
073,321,763,410,422,058,717,534,911,505,332,076,587,228,481,077,071,222,895,
426,940,866,672,708,566,518,000,907,622,717,550,787,306,506,049,161,273,591,
620,615,988,575,726,272,580,381,371,188,205,558,639,385,637,716,620,538,117,
616,554,784,890,814,664,125,714,692,495,869,620,675,934,379,929,112,517,397,
398,445,522,843,520,795,845,942,072,596,920,877,361,172,247,237,998,937,676,
330,003,400,390,687,601,074,917,020,377,480,654,123,229,787,769,972,564,250,
674,602,323,308,807,336,777,562,283,072,083,391,575,734,797,574,341,958,365,
826,023,180,235,481,419,654,560,904,892,581,132,014,452,522,994,622,580,090,
738,535,830,091,828,066,896,551,536,900,075,367,416,746,808,723,991,533,498,
441,381,601,533,823,640,708,127,668,232,742,756,449,836,308,918,731,951,631,
917,585,245,866,196,309,942,071,016,192,934,899,225,818,547,954,348,211,871,
330,062,552,852,860,231,247,418,744,403,919,949,243,172,448,106,984,366,385,
104,826,297,517,071,624,537,427,303,052,197,579,917,754,162,916,285,087,771,
895,728,816,350,194,767,199,650,473,713,792,866,891,100,360,805,558,226,817,
836,012,287,494,830,950,592,143,900,602,975,834,741,187,384,730,821,545,935,
605,728,395,646,158,519,281,028,989,804,973,001,467,982,886,036,020,030,425,
969,989,687,843,541,508,805,945,967,413,949,893,568,303,776,882,152,010,673,
916,198,408,835,394,746,449,558,206,209,645,820,895,508,671,742,760,239,968,
266,280,128,224,062,714,517,134,062,215,336,765,082,543,848,101,406,369,886,
017,936,481,018,660,366,982,419,486,470,948,554,383,743,356,597,241,056,514,
588,828,588,521,375,946,457,890,066,563,222,287,680,977,469,868,765,861,052,
253,958,982,005,001,984,125,972,343,560,033,554,003,145,852,868,946,611,553,
385,070,818,627,913,070,777,898,776,034,615,584,626,296,316,454,551,027,700,
688,855,226,644,821,485,720,824,233,261,618,730,135,026,796,445,095,230,669,
446,750,055,292,048,413,475,710,907,519,546,224,390,909,895,467,075,354,308,
441,186,836,997,434,282,803,008,639,628,618,788,146,710,730,247,928,230,397,
794,904,325,543,380,069,460,212,125,040,572,824,802,144,634,925,518,659,514,
208,474,533,003,445,944,266,312,918,105,387,083,018,113,943,560,453,452,466,
509,572,966,711,196,841,120,275,739,996,838,656,596,751,109,924,088,237,737,
554,543,835,374,179,243,829,375,180,465,491,186,762,283,556,819,535,215,694,
921,268,504,502,646,934,530,153,662,178,321,140,074,788,057,506,068,153,689,
022,243,293,254,300,058,665,741,966,133,980,663,243,264,007,559,000,430,189,
311,402,629,122,447,075,504,406,824,888,830,220,743,680,299,716,691,546,241,
873,631,039,275,885,368,273,436,301,068,648,375,124,589,411,459,321,481,830,
429,407,645,631,518,392,810,779,667,285,165,630,459,291,206,203,587,999,654,
940,050,340,307,774,789,162,041,007,083,388,678,135,564,324,015,966,898,359,
046,342,910,790,435,984,922,450,430,697,164,389,433,407,560,447,635,049,232,
303,229,236,576,835,801,587,861,716,977,443,440,163,936,987,785,224,428,948,
692,696,625,436,327,434,842,833,780,134,204,643,411,191,600,195,148,756,717,
020,584,197,342,840,328,606,776,252,209,849,603,533,827,909,698,519,772,236,
047,691,532,612,901,368,355,154,646,990,456,352,641,078,465,583,439,022,251,
509,160,208,576,874,182,181,109,710,074,959,728,676,183,443,828,048,963,723,
996,501,533,010,310,334,424,264,484,459,607,705,469,647,983,033,512,721,314,
581,915,482,856,558,310,945,228,090,268,362,055,629,245,630,888,285,945,769,
457,601,531,389,601,070,585,113,104,497,742,796,382,720,857,935,499,932,800,
507,272,198,922,857,560,020,100,316,854,763,558,221,529,034,304,990,284,117,
418,340,886,312,054,327,746,145,951,936,887,269,480,649,778,016,542,981,568,
964,221,241,560,722,412,270,349,912,368,872,387,686,108,305,682,363,233,802,
034,460,679,143,127,957,600,065,723,851,934,148,830,374,979,852,581,897,491,
399,779,362,240,423,931,469,323,189,581,946,547,471,984,150,015,403,791,727,
392,919,327,324,660,945,141,558,954,736,727,737,947,016,456,346,394,217,711,
281,865,147,427,985,413,853,624,536,154,808,444,246,731,115,751,014,368,790,
930,057,871,565,094,077,704,273,859,206,519,332,612,753,638,276,095,989,855,
727,551,524,400,016,047,435,712,394,995,809,045,732,910,386,859,862,240,702,
734,986,144,067,266,704,517,883,734,429,314,488,596,292,183,362,122,664,350,
919,355,567,848,029,168,386,661,718,497,781,022,093,046,323,070,070,160,475,
480,818,296,215,681,595,923,500,646,066,114,758,784,278,303,482,852,038,498,
647,817,651,453,058,788,971,549,747,342,882,113,112,276,233,965,805,003,076,
230,336,306,120,632,180,353,954,579,516,575,837,982,374,387,033,922,224,401,
517,717,194,051,903,401,174,060,032,715,169,582,263,073,578,529,206,379,285,
413,204,287,393,484,737,562,391,718,101,168,790,071,402,199,885,088,150,246,
876,345,083,549,347,523,269,125,043,878,010,333,595,772,051,943,790,983,580,
245,881,640,689,082,314,743,691,254,301,015,841,910,254,594,433,555,696,315,
097,400,975,148,133,487,723,394,232,847,901,252,308,279,486,669,736,260,316,
403,124,324,504,613,572,184,185,648,308,464,764,339,903,465,578,508,709,298,
656,205,822,676,608,279,465,867,869,657,116,804,997,339,963,475,430,699,095,
741,758,028,312,587,064,375,979,044,895,649,089,109,824,906,916,102,410,770,
102,709,983,511,909,035,010,237,296,888,431,473,539,752,566,470,101,531,826,
823,815,973,982,238,632,465,902,623,969,857,756,006,608,197,281,830,026,305,
284,971,560,990,223,807,777,128,571,808,522,656,037,296,315,439,382,423,133,
943,760,162,034,796,792,180,999,683,068,087,499,308,328,688,248,093,163,022,
759,206,686,676,491,533,254,798,230,707,391,402,572,857,279,999,367,544,308,
299,745,913,396,392,722,607,919,279,277,697,034,197,590,630,508,431,836,771,
323,233,370,806,595,344,158,644,962,746,915,920,838,212,821,676,176,530,355,
297,539,101,252,385,754,696,549,156,304,765,245,238,348,765,918,324,126,314,
922,432,591,455,584,624,627,958,972,163,333,747,056,680,346,303,464,300,959,
407,122,958,492,695,540,612,430,620,305,296,890,877,132,242,320,808,137,053,
718,186,881,290,334,583,862,494,368,598,340,052,376,594,860,975,871,541,529,
502,271,172,994,289,816,722,175,572,536,547,180,805,800,469,956,116,697,698,
065,198,953,739,850,024,315,759,330,195,290,284,296,780,573,106,171,267,822,
674,821,169,510,478,534,975,493,797,456,193,463,383,961,327,992,138,002,109,
812,900,063,196,673,410,413,484,575,009,545,522,956,582,576,293,212,589,235,
700,629,187,434,511,849,753,808,979,830,321,146,034,881,782,060,500,188,219,
981,272,441,435,747,048,462,204,172,157,674,431,117,197,064,313,166,176,835,
288,753,082,533,292,204,818,474,591,684,396,498,688,683,973,564,334,629,513,
897,514,688,417,322,115,537,090,564,967,000,747,984,568,691,255,715,038,611,
738,123,858,754,465,332,402,516,344,822,423,491,662,593,461,256,006,153,866,
924,602,672,149,128,112,196,277,864,112,705,914,044,671,437,839,943,650,933,
579,830,678,369,949,529,479,175,699,827,022,174,487,206,633,592,752,806,726,
724,485,762,188,783,605,091,334,698,733,708,322,091,542,060,589,390,011,424,
702,533,348,489,599,098,863,868,870,511,146,397,765,528,119,924,924,845,770,
025,801,422,875,607,990,828,132,993,921,707,195,516,336,240,472,819,061,294,
807,737,547,065,370,635,280,938,741,183,908,693,832,745,015,573,229,935,672,
390,876,613,016,546,668,604,982,466,035,578,914,358,366,549,418,848,764,974,
152,318,470,037,445,258,925,164,145,265,168,787,360,771,735,719,036,094,635,
824,628,409,379,500,868,591,228,723,979,641,419,636,820,778,739,253,162,635,
088,909,818,428,823,845,945,829,611,818,116,251,703,963,370,925,833,611,574,
801,667,856,094,151,481,010,682,529,112,349,363,241,609,479,929,607,775,436,
569,295,556,753,540,942,356,367,699,834,963,413,522,881,826,542,986,994,169,
596,416,478,358,210,104,303,162,351,527,889,395,539,952,570,729,760,229,901,
198,320,242,784,976,441,404,226,856,471,643,174,934,038,232,269,379,131,706,
147,801,964,589,137,926,398,834,609,899,688,639,534,488,226,585,843,215,325,
915,412,891,219,234,940,387,767,678,357,498,085,716,530,418,176,436,460,144,
322,712,241,470,595,486,547,163,935,987,904,876,981,363,227,677,484,511,276,
802,359,615,223,159,412,883,213,033,182,966,816,880,998,626,419,957,553,478,
992,040,802,982,878,535,256,427,080,225,009,056,266,234,765,769,805,654,681,
545,228,392,604,987,497,564,159,730,595,212,893,259,031,426,576,699,680,764,
163,884,879,268,618,605,192,458,220,157,550,053,489,765,632,930,954,639,331,
649,707,135,706,761,349,001,493,519,748,997,116,821,205,396,868,034,699,846,
227,019,043,874,653,031,101,524,662,668,877,774,896,620,824,764,894,558,926,
933,844,196,454,761,207,932,887,990,475,342,585,985,775,048,238,387,048,656,
543,252,076,702,201,941,493,569,677,479,491,428,302,157,391,645,514,913,999,
646,409,778,775,890,490,789,356,825,592,227,843,534,449,655,752,527,382,161,
903,498,397,155,206,462,668,453,727,868,256,083,390,167,088,158,483,177,504,
181,253,176,177,061,096,241,722,376,309,682,191,799,558,019,206,817,920,177,
223,678,419,223,927,420,097,829,584,637,718,423,328,734,557,171,492,335,089,
548,563,942,027,969,135,351,011,111,357,409,152,962,729,035,547,442,148,251,
426,600,107,199,433,972,214,174,209,932,288,815,951,878,908,583,916,263,826,
125,458,737,915,423,512,199,545,143,340,995,190,687,247,098,191,064,705,235,
701,438,320,256,258,010,825,190,219,436,354,452,925,821,640,063,428,818,068,
070,977,617,842,041,455,050,125,540,663,986,043,156,837,200,793,818,922,501,
202,001,566,795,188,134,396,203,188,701,503,914,288,566,765,253,679,176,780,
822,189,642,862,844,774,886,102,499,970,984,764,849,810,313,045,426,783,238,
727,601,166,542,865,461,155,005,958,737,079,622,379,463,198,813,178,605,225,
252,395,026,478,916,001,877,526,836,277,377,162,696,608,477,718,813,162,929,
047,901,957,110,987,229,847,633,785,947,272,430,958,787,659,664,087,027,683,
826,259,944,095,081,560,384,859,369,237,781,730,024,265,528,452,485,275,756,
660,567,889,706,964,056,144,657,081,438,378,791,245,095,638,813,788,250,697,
649,642,411,227,361,211,027,960,203,973,213,366,302,076,870,834,375,815,913,
590,138,184,305,758,650,288,476,214,480,101,471,211,885,358,142,321,342,388,
519,534,148,472,004,231,224,885,205,264,018,290,739,274,260,447,019,553,936,
111,815,744,505,326,716,247,276,125,062,791,266,745,907,954,984,720,423,898,
614,793,183,725,400,993,508,243,834,292,337,220,623,512,760,911,776,960,041,
770,878,277,512,618,268,198,719,598,893,304,808,219,346,102,225,024,376,517,
444,460,332,376,370,839,359,133,353,290,163,203,582,291,375,369,635,024,797,
953,332,405,044,005,610,733,729,153,871,121,156,670,413,978,111,322,515,884,
250,161,147,945,856,811,250,391,716,766,372,845,707,451,514,711,744,468,572,
444,718,538,063,988,176,051,632,032,188,356,689,503,453,919,500,835,995,052,
204,064,948,742,170,434,466,765,616,674,877,072,639,864,202,337,775,269,137,
785,547,570,195,898,402,235,162,357,736,095,053,907,265,259,662,479,703,609,
453,844,393,854,917,502,805,808,226,054,903,440,893,916,654,448,987,947,936,
913,923,573,528,482,595,977,884,817,886,302,043,727,829,609,370,493,814,945,
064,611,584,835,473,860,230,312,385,581,137,374,979,939,612,476,019,232,132,
222,800,582,192,963,715,039,593,198,409,800,422,139,688,891,621,319,313,979,
271,931,701,621,403,711,597,233,193,925,750,964,251,172,543,018,795,225,533,
493,914,495,010,939,588,264,554,366,779,463,792,518,722,290,593,647,440,172,
137,851,155,336,830,137,616,799,425,983,359,550,572,606,800,510,807,482,184,
803,389,470,608,092,794,339,706,242,162,686,533,602,719,103,087,702,715,682,
448,415,932,856,019,162,923,907,714,837,631,981,243,475,056,390,761,921,651,
710,705,703,818,117,940,119,440,106,074,876,352,823,898,628,955,052,883,435,
953,963,538,841,953,862,816,879,307,545,348,270,988,852,485,883,370,163,183,
497,904,109,670,543,914,488,577,850,033,422,235,063,158,267,983,900,859,238,
613,402,651,211,199,784,101,470,564,255,653,859,908,273,917,864,840,670,332,
977,255,164,654,516,834,890,037,303,616,859,642,059,352,400,461,324,092,498,
106,733,611,712,593,461,968,561,550,638,941,855,332,680,314,940,384,754,472,
162,405,138,472,561,545,331,357,357,540,985,197,882,693,486,760,083,390,678,
712,215,984,735,242,073,972,387,286,320,371,602,047,607,892,610,363,539,662,
995,822,715,379,942,256,809,127,462,378,910,128,208,534,201,997,367,707,977,
647,974,930,157,175,344,103,096,226,628,061,464,435,990,913,308,796,254,217,
953,161,516,910,209,211,200,110,479,099,341,278,929,019,080,013,299,206,884,
562,615,336,780,244,921,497,924,756,622,241,889,218,435,033,973,105,947,540,
549,400,347,363,963,544,973,502,993,495,357,943,377,825,327,340,775,655,229,
743,876,815,920,356,619,965,126,876,565,147,379,138,867,264,223,604,234,345,
490,628,383,851,186,621,155,573,714,716,886,628,925,662,524,290,595,226,565,
242,316,858,085,021,282,570,085,252,071,873,237,250,038,991,532,829,676,608,
034,977,858,313,732,196,435,273,693,380,561,373,890,248,974,139,001,923,307,
191,164,538,476,581,121,796,980,101,031,923,523,735,508,603,671,802,422,947,
023,065,316,054,319,604,452,845,118,413,607,888,365,104,137,648,230,962,804,
454,641,440,176,156,801,340,956,947,508,598,402,284,239,239,361,276,094,367,
298,437,488,227,765,081,132,438,668,654,467,209,984,880,148,790,268,332,664,
528,724,924,463,702,705,004,307,848,238,498,374,781,914,370,756,852,334,165,
483,166,493,916,211,602,701,065,761,042,538,610,428,723,467,008,186,738,103,
009,256,434,389,092,359,278,366,994,019,184,753,087,818,946,984,054,548,458,
640,833,208,305,000,957,268,967,842,966,690,718,857,435,939,707,450,172,079,
318,353,579,497,305,230,959,254,731,997,737,702,911,135,002,159,676,036,459,
138,796,072,376,688,688,945,708,614,744,897,147,892,888,879,672,790,429,801,
458,580,346,763,859,898,267,814,628,460,215,148,848,905,435,828,585,939,444,
180,294,092,367,646,508,897,093,561,171,573,788,060,504,607,885,785,524,854,
446,751,113,444,329,462,007,661,145,661,563,468,787,990,731,315,063,715,910,
703,253,935,650,807,214,620,181,200,817,970,711,882,535,443,409,548,300,865,
810,881,753,091,406,246,059,493,902,982,804,179,737,430,719,140,295,260,605,
844,421,572,776,118,691,245,339,955,220,322,338,251,222,311,587,177,272,650,
529,057,795,438,759,894,419,023,958,094,823,066,336,074,193,877,732,471,292,
901,275,585,872,364,499,035,074,928,149,583,334,838,626,088,938,291,288,278,
083,517,972,927,697,133,698,515,549,653,601,887,158,848,675,549,838,217,265,
366,337,451,987,320,425,252,620,317,918,456,581,888,507,203,675,100,498,874,
658,285,006,697,448,473,421,828,978,203,214,942,402,497,885,061,024,037,757,
926,844,131,415,756,270,546,475,835,411,025,962,608,767,733,693,932,102,626,
896,411,543,233,524,795,680,551,381,005,098,856,135,670,095,166,463,438,789,
246,688,618,332,984,303,611,148,935,268,075,393,493,652,636,680,480,241,786,
471,655,960,039,136,569,159,216,976,842,402,335,126,703,076,317,354,566,289,
521,425,962,330,744,271,071,790,264,268,979,497,727,701,740,443,411,788,556,
263,786,580,265,642,790,105,992,777,957,186,525,799,130,049,598,791,749,664,
749,001,487,936,971,708,647,999,317,848,009,827,123,463,458,287,181,475,761,
418,005,183,629,561,017,064,832,022,681,850,690,110,476,016,776,008,949,359,
375,113,567,629,363,933,514,113,949,557,034,876,698,303,630,555,088,608,643,
801,453,116,470,825,862,077,095,045,537,730,925,023,063,327,362,448,633,114,
627,516,417,886,219,087,573,100,902,119,441,020,283,374,224,459,330,020,619,
271,874,467,033,682,680,874,659,027,421,522,974,724,765,471,674,634,542,954,
411,116,653,031,333,791,272,664,186,792,621,756,380,408,160,354,667,120,623,
138,687,657,494,401,863,327,624,281,742,381,604,830,810,874,212,448,073,231,
652,122,313,006,238,464,036,454,809,859,541,403,044,194,173,156,129,361,709,
889,366,936,801,485,574,297,563,023,015,237,849,399,868,711,030,175,536,633,
240,831,949,936,649,229,594,698,579,254,942,504,864,839,641,185,128,805,727,
373,751,280,473,561,532,515,856,541,849,156,085,371,745,334,135,506,374,968,
783,978,444,411,101,189,010,125,587,132,208,254,509,829,972,749,577,273,449,
690,704,631,332,320,492,317,246,368,800,338,098,511,739,812,772,739,483,789,
109,935,084,620,856,790,896,935,111,949,808,138,344,854,412,611,255,348,500,
891,335,584,439,797,406,553,397,202,826,550,300,203,846,878,733,926,286,250,
403,042,276,278,593,088,614,928,681,817,062,534,833,103,582,026,523,617,735,
266,548,742,005,943,209,155,386,312,706,762,909,797,694,595,993,579,055,327,
768,825,247,092,679,796,930,690,311,392,342,278,257,075,711,820,002,980,191,
533,567,855,731,569,354,852,050,028,549,133,703,453,137,444,710,549,551,494,
475,462,493,673,651,662,536,790,806,718,784,103,783,322,363,923,512,262,987,
896,315,450,939,259,023,132,021,794,313,933,854,939,573,107,809,591,066,587,
021,551,424,285,296,300,193,031,369,675,048,416,332,913,968,848,438,759,244,
925,223,817,364,127,395,681,534,047,958,698,455,001,382,848,888,667,905,029,
998,083,686,680,555,016,581,428,583,839,548,051,617,820,695,293,796,110,362,
121,352,099,801,974,267,194,296,951,584,806,461,291,323,163,758,122,449,204,
871,999,271,950,630,740,992,354,612,976,763,268,222,315,200,054,860,709,903,
138,242,641,098,162,213,099,431,826,146,585,630,977,467,570,592,320,031,233,
426,926,512,247,561,170,763,973,659,348,960,359,205,834,363,558,910,483,121,
750,745,413,769,196,232,817,164,590,841,729,282,722,624,417,587,245,070,799,
325,396,571,160,533,451,554,744,735,680,520,894,605,234,738,701,136,667,613,
126,962,307,310,833,408,234,186,858,587,971,755,642,818,035,795,240,907,979,
605,205,399,795,814,128,896,211,923,503,094,617,118,585,952,313,863,396,169,
120,288,261,356,809,714,743,331,747,414,232,454,345,251,510,837,257,952,870,
540,808,681,825,709,732,552,991,028,900,863,324,487,685,523,441,720,515,484,
384,110,031,622,973,375,938,897,234,680,174,487,661,955,651,629,150,074,671,
710,946,677,151,924,420,306,301,028,978,096,831,800,500,927,018,540,601,516,
631,545,413,407,763,773,192,085,796,798,554,696,101,929,397,355,509,956,787,
096,415,471,652,604,666,379,150,287,972,468,833,722,239,113,256,392,222,261,
386,530,622,628,509,008,165,570,695,458,915,601,246,089,474,064,896,180,669,
081,099,019,455,170,931,825,456,659,717,732,791,580,567,017,022,068,003,224,
381,216,089,910,146,714,702,623,616,025,937,129,800,812,986,059,424,812,135,
407,726,533,026,563,775,215,184,566,133,095,255,449,878,434,932,655,659,128,
695,157,714,849,775,541,806,089,072,254,256,463,455,829,990,623,544,221,496,
779,266,500,203,955,864,163,013,886,273,957,039,620,447,310,509,767,551,973,
661,148,927,395,872,811,360,986,919,495,847,905,405,750,550,719,510,213,173,
024,627,820,978,352,889,043,063,321,813,311,124,592,065,011,283,835,368,300,
970,734,569,799,436,010,110,175,850,016,083,670,960,283,242,665,195,809,626,
182,324,198,397,496,903,727,532,452,948,017,844,370,434,465,687,363,370,394,
037,853,446,947,962,915,572,934,145,132,911,946,189,490,068,285,456,424,731,
042,411,428,065,270,792,649,148,339,834,109,968,902,783,969,134,884,925,456,
282,962,662,258,901,260,852,554,768,716,401,185,002,606,853,083,141,573,316,
007,554,491,009,235,153,137,386,852,857,946,644,021,356,517,681,512,790,699,
083,404,491,845,214,328,133,870,423,603,199,043,911,936,174,674,351,622,354,
718,419,586,619,931,261,122,761,233,488,244,683,194,151,931,446,825,365,774,
445,265,880,601,971,928,810,470,409,726,473,731,126,210,921,144,565,730,830,
235,159,181,759,936,629,287,206,943,412,866,281,072,819,748,351,461,836,230,
007,976,076,147,647,535,735,618,807,540,006,517,926,363,477,777,749,051,695,
150,091,679,027,582,979,602,588,113,412,144,907,351,985,444,868,435,257,243,
358,225,176,637,710,902,763,647,501,619,668,947,011,273,046,299,819,541,362,
257,636,831,822,768,223,851,360,963,316,848,331,693,359,768,187,834,657,904,
366,958,987,996,555,419,407,902,229,071,052,663,823,418,882,675,809,432,697,
941,537,723,895,170,661,478,301,922,075,820,356,932,028,737,412,910,335,734,
567,996,053,657,580,056,745,404,089,114,891,091,444,066,989,379,713,350,363,
540,151,085,855,385,831,677,642,259,642,039,448,208,048,495,281,221,496,470,
921,437,871,475,779,789,949,734,320,104,433,953,954,225,089,001,950,477,017,
532,419,963,679,742,971,047,810,811,192,809,787,848,198,005,146,957,627,697,
150,972,533,581,521,797,120,662,676,574,323,646,653,832,986,429,958,344,052,
460,803,616,065,503,690,196,982,769,421,720,841,952,437,126,377,267,574,840,
642,040,318,738,350,240,221,475,845,961,096,761,034,177,116,911,868,482,552,
667,950,333,495,477,128,344,926,718,007,228,724,244,697,221,232,541,219,398,
501,706,477,552,176,635,427,038,805,316,153,250,862,474,714,801,843,369,120,
239,016,307,988,301,458,429,611,154,489,523,080,599,149,102,289,435,398,691,
480,172,456,937,662,039,845,816,374,697,563,148,732,487,049,337,229,886,822,
115,741,280,780,746,054,881,797,022,201,776,780,645,854,789,537,590,179,593,
147,825,258,891,855,411,311,061,563,542,729,361,958,878,964,656,258,535,806,
786,849,878,574,664,320,090,519,431,448,736,794,934,031,405,523,891,173,821,
621,781,060,822,074,203,952,484,854,408,844,106,606,713,784,722,824,088,068,
449,511,221,643,555,745,814,466,353,100,227,660,925,818,798,393,461,163,524,
443,237,737,346,153,712,133,693,996,482,200,187,660,969,184,381,209,789,653,
721,851,300,475,037,584,222,159,590,192,841,238,223,561,552,554,160,099,739,
722,633,130,061,199,505,970,497,775,823,906,513,853,164,721,031,410,247,082,
342,982,110,093,808,410,371,295,463,486,164,218,461,333,441,814,720,415,659,
956,763,782,045,938,684,809,918,529,165,840,232,934,536,158,113,697,995,634,
359,977,195,257,214,924,812,208,424,628,012,156,423,489,089,130,864,013,052,
082,394,837,247,666,679,937,065,684,651,808,693,248,955,758,654,584,356,166,
460,425,013,701,685,325,867,744,112,814,490,378,753,242,707,096,829,409,891,
872,394,283,786,590,950,418,851,226,853,810,114,179,790,566,928,821,586,855,
364,455,924,182,851,548,798,072,066,748,323,934,274,060,415,362,471,725,147,
367,626,546,048,195,294,688,720,671,663,921,076,189,963,161,886,660,237,087,
049,082,180,827,452,946,735,854,101,674,387,211,232,956,534,900,302,503,153,
540,668,934,705,746,653,152,099,963,463,138,684,853,699,338,864,236,832,397,
417,826,982,322,703,458,030,082,392,049,112,454,990,944,984,208,780,676,478,
077,540,697,834,636,849,331,203,192,258,031,575,432,769,395,687,898,340,918,
335,524,206,330,373,220,137,656,365,621,400,519,382,496,838,158,389,661,366,
357,100,636,713,667,856,768,463,692,549,773,529,671,752,454,140,501,798,269,
705,662,108,923,405,097,729,682,731,331,711,134,702,634,868,171,762,991,579,
491,191,280,258,399,550,606,794,848,838,887,316,309,528,008,453,470,778,883,
860,295,352,314,515,406,036,581,284,069,697,956,150,824,256,339,883,728,889,
043,167,953,701,105,494,542,070,026,508,049,386,860,163,335,084,905,911,150,
303,685,281,389,726,145,497,530,834,257,228,566,489,995,873,450,944,135,777,
096,145,572,925,902,709,999,840,185,202,054,167,257,095,373,399,246,318,754,
599,586,539,242,557,272,436,032,112,231,283,734,025,313,306,822,035,719,384,
118,212,171,857,793,617,904,622,736,749,327,551,954,352,487,137,667,042,945,
424,912,060,664,585,898,291,606,401,639,427,618,913,171,981,697,171,481,979,
239,702,955,685,918,673,095,870,230,224,298,243,401,870,161,878,155,566,174,
120,634,907,887,171,140,673,899,204,591,335,263,136,455,423,018,008,847,429,
335,848,395,331,110,921,159,143,221,328,619,975,971,296,675,166,904,451,309,
706,380,145,388,895,532,259,228,836,218,214,714,834,839,919,358,551,456,662,
960,811,388,403,266,578,552,172,535,642,421,697,993,676,341,229,372,058,743,
588,664,207,781,494,707,250,002,726,712,326,381,268,912,072,704,835,482,905,
110,431,815,194,820,112,103,078,399,323,660,399,259,736,820,292,723,204,490,
762,003,334,411,152,435,172,176,896,223,014,747,784,517,904,710,011,008,914,
624,285,842,969,775,852,848,606,082,585,869,247,465,229,464,052,674,197,809,
494,974,286,509,523,241,849,703,678,418,088,806,829,356,112,324,173,798,810,
107,274,465,179,947,232,168,641,221,244,701,104,370,598,344,002,781,299,942,
047,419,408,320,295,253,373,666,747,291,988,842,464,030,140,516,969,032,585,
807,338,385,535,850,001,897,328,442,299,268,752,015,236,234,768,014,242,739,
598,639,522,973,584,313,085,342,710,863,979,745,302,168,208,553,443,609,059,
746,461,200,448,063,358,906,596,492,912,812,534,507,294,124,994,505,572,049,
329,416,103,370,215,208,547,346,924,951,328,504,576,809,568,811,806,061,778,
354,817,557,773,657,100,671,089,782,087,060,494,077,534,995,615,283,400,884,
922,679,297,519,264,550,489,633,476,355,229,885,626,652,449,626,422,392,476,
051,811,052,163,594,574,898,438,869,144,425,165,949,466,877,104,364,146,296,
954,631,019,301,566,336,626,271,023,947,550,662,268,781,323,743,023,641,091,
681,592,188,205,858,114,674,982,968,960,412,174,972,454,740,132,311,174,660,
857,405,189,933,838,798,977,008,568,752,303,395,931,360,372,960,456,418,364,
152,541,639,051,813,769,551,422,370,605,066,698,810,738,604,834,650,166,490,
600,723,498,065,253,183,743,769,691,282,332,797,124,473,594,492,692,338,263,
877,028,080,494,341,802,230,510,511,123,052,338,558,279,369,472,865,351,360,
200,495,147,578,123,141,110,629,105,660,095,625,772,216,911,488,414,448,257,
836,705,728,821,725,044,273,352,895,149,152,592,402,343,281,656,616,974,676,
089,019,345,877,016,525,032,201,460,318,059,933,166,933,676,764,450,397,349,
147,154,436,231,227,046,926,847,333,073,824,133,232,031,467,597,176,937,209,
199,828,520,047,949,305,597,601,906,722,524,808,397,284,983,921,775,127,119,
621,499,925,062,092,494,304,144,121,742,129,858,412,450,971,262,707,714,778,
279,258,921,249,703,885,988,823,740,316,234,271,474,765,572,674,075,434,460,
327,219,641,901,614,209,973,269,594,498,851,926,613,074,179,923,242,350,881,
935,169,699,236,064,398,380,792,799,481,433,839,212,966,519,758,052,814,210,
825,544,669,922,717,762,798,021,133,468,013,296,975,381,458,134,052,981,443,
666,785,188,379,287,346,896,826,397,575,294,160,845,261,233,828,242,290,687,
761,239,219,368,971,751,596,707,284,180,527,048,799,561,950,062,889,324,716,
018,189,367,626,894,738,081,173,689,637,758,584,802,226,975,029,940,258,341,
172,070,777,592,969,835,425,037,618,631,485,397,092,894,941,991,178,396,242,
318,809,606,899,430,278,868,312,522,915,539,528,531,588,731,616,488,753,149,
063,453,302,374,576,352,252,029,856,357,343,534,730,418,569,395,805,269,626,
001,729,736,805,103,262,616,560,368,861,375,895,056,731,327,512,804,721,209,
962,423,412,313,695,354,545,346,220,430,526,823,074,662,795,039,961,935,123,
104,100,658,178,890,510,512,731,968,278,633,928,138,099,014,240,361,965,406,
503,259,175,327,632,941,814,726,753,202,182,638,287,084,922,413,650,217,114,
857,002,922,001,087,784,397,875,369,259,073,195,785,920,045,453,053,970,391,
307,242,383,689,360,335,320,245,934,493,941,713,716,508,647,167,837,078,711,
123,841,138,099,079,893,723,566,288,880,964,710,366,485,505,591,396,748,934,
388,116,906,828,880,339,469,604,777,174,765,961,527,705,903,848,427,350,436,
885,318,506,566,720,068,158,468,679,580,111,048,134,493,149,784,935,262,490,
909,944,258,847,920,105,869,569,769,498,295,823,667,091,732,797,823,883,040,
251,726,558,759,404,397,854,622,564,015,667,951,658,436,256,234,199,321,770,
991,949,692,835,765,087,056,795,931,583,096,771,853,378,948,121,822,472,464,
861,623,385,882,976,824,232,746,504,562,005,092,856,686,093,854,688,023,228,
864,478,711,781,062,470,151,673,722,593,311,797,899,809,094,784,210,442,248,
181,516,407,131,120,823,798,690,049,986,925,029,181,494,748,506,500,316,127,
814,767,595,797,101,579,951,808,889,006,504,457,157,212,946,929,660,925,024,
437,914,422,761,752,857,526,315,129,797,213,689,933,634,189,482,894,102,064,
332,439,016,117,529,015,443,700,335,759,912,548,059,014,221,392,237,223,073,
082,503,980,140,764,895,497,915,829,715,632,978,542,690,489,793,255,395,892,
837,741,082,136,540,281,416,555,128,605,278,089,569,975,234,994,123,837,404,
006,699,779,008,188,130,805,489,939,546,465,396,168,188,908,356,906,977,156,
099,926,944,668,855,342,165,754,978,755,186,498,010,511,630,509,748,097,590,
440,441,381,094,241,039,348,986,970,722,875,738,806,354,735,674,946,479,630,
912,537,532,892,109,367,321,501,714,464,735,543,366,783,784,553,971,802,245,
933,011,622,480,798,598,267,073,579,757,875,131,249,091,684,254,465,847,155,
718,561,816,997,967,390,895,361,256,553,337,893,302,402,800,970,960,056,651,
193,089,701,595,998,468,147,952,942,960,671,936,864,103,786,246,846,572,126,
056,697,807,150,756,057,871,083,411,713,279,106,446,267,355,320,652,921,240,
369,363,719,632,995,253,145,925,147,470,769,967,924,874,149,679,101,443,116,
836,423,227,189,691,849,658,624,207,552,217,041,807,648,341,723,770,594,274,
229,943,240,872,702,257,303,850,293,957,063,779,044,558,647,523,250,947,662,
050,106,775,826,141,019,589,930,753,676,863,083,240,403,495,030,459,011,714,
412,785,974,285,909,313,750,463,186,111,172,250,564,777,388,345,201,865,318,
850,316,846,761,345,216,083,606,143,472,659,952,291,129,712,607,550,100,386,
385,486,771,997,336,973,238,034,188,860,970,012,758,208,861,917,258,869,359,
546,163,432,770,152,767,757,491,911,057,753,322,466,149,693,633,880,810,468,
690,132,887,006,034,333,471,453,282,803,948,024,384,607,609,892,450,821,824,
804,376,081,423,655,226,510,973,751,675,598,499,795,323,174,017,505,153,833,
605,676,423,712,868,881,471,123,626,330,944,312,175,753,238,060,139,573,077,
265,488,638,522,421,955,732,297,944,414,805,671,198,258,168,244,281,165,940,
653,571,724,704,282,663,051,092,103,035,139,232,625,316,547,897,835,805,195,
314,900,379,735,031,761,213,212,785,459,278,192,000,768,621,938,767,800,847,
795,951,231,229,745,197,128,479,799,503,178,990,753,181,372,871,212,797,316,
041,172,254,378,042,657,849,117,928,187,814,544,078,045,178,014,755,112,345,
964,710,679,724,990,288,488,973,076,285,439,141,469,160,247,673,292,867,839,
980,016,378,883,780,094,813,508,494,431,840,812,176,826,794,668,165,665,135,
876,247,695,091,097,950,786,235,995,152,513,622,895,882,421,659,600,832,209,
767,614,194,860,300,765,682,915,129,278,921,532,680,044,690,157,447,911,430,
073,818,742,364,490,409,896,584,779,903,492,831,379,766,827,976,878,494,952,
922,305,030,369,260,656,904,437,072,649,933,471,212,152,482,278,177,184,447,
907,175,830,098,757,353,786,764,138,759,247,153,125,236,907,904,220,792,452,
677,947,193,554,651,695,396,838,017,008,169,148,440,333,805,127,848,824,320,
810,752,349,140,511,785,027,417,798,273,350,180,760,290,387,630,527,841,923,
921,454,263,486,265,723,584,965,062,384,785,976,483,571,230,855,588,135,684,
533,347,211,219,542,303,479,830,774,754,936,405,427,718,064,701,969,430,974,
691,587,718,452,419,712,186,092,928,279,996,605,108,333,951,422,141,782,407,
573,167,567,292,244,022,892,753,393,410,351,476,082,711,456,356,758,061,523,
523,619,878,364,100,023,714,291,829,924,806,623,687,722,690,485,151,976,987,
124,178,625,732,067,015,186,042,955,849,322,639,926,891,234,445,320,404,427,
723,946,297,469,436,357,145,713,806,342,742,210,558,667,696,630,784,616,439,
577,499,546,944,379,958,960,208,575,822,726,099,770,328,643,492,225,295,706,
225,802,997,927,278,429,492,779,570,890,662,644,968,950,234,235,411,269,267,
528,238,919,747,692,807,789,726,785,396,545,596,598,398,679,943,111,373,543,
992,037,167,571,079,361,402,260,857,952,271,271,478,083,993,036,565,011,447,
345,185,887,951,638,345,543,785,466,166,795,156,120,077,861,565,423,823,815,
691,517,448,218,302,999,003,353,563,072,436,755,392,078,018,688,247,586,058,
936,664,220,828,857,407,636,844,715,215,486,143,658,273,662,510,326,145,184,
927,025,552,226,717,333,009,067,763,029,097,849,543,909,284,102,237,508,476,
806,585,384,875,583,455,463,769,251,464,313,586,148,884,494,361,841,686,165,
665,305,792,048,855,306,216,815,829,721,506,500,738,240,805,327,789,348,624,
244,655,304,914,460,022,704,785,442,113,480,983,396,734,476,045,415,809,125,
380,153,617,245,525,166,138,781,063,662,004,584,509,439,755,218,188,774,550,
267,622,329,777,429,669,656,038,326,919,992,995,908,230,883,853,406,489,502,
738,436,815,855,132,259,832,005,674,985,356,874,625,391,291,850,562,228,680,
051,044,944,016,147,492,217,367,497,050,006,416,828,630,207,641,740,261,677,
982,932,169,390,918,375,949,537,423,550,909,554,390,522,013,664,019,097,001,
047,467,964,061,698,037,339,453,644,016,160,743,374,880,095,985,328,896,954,
173,707,957,928,662,552,565,247,618,936,296,071,988,936,878,941,589,228,764,
299,287,667,842,561,567,631,133,512,672,704,310,559,861,861,503,716,208,075,
908,676,925,163,906,732,643,336,703,576,060,919,663,291,237,929,696,646,514,
970,190,589,467,165,669,086,789,700,618,890,249,364,276,674,566,950,671,632,
818,003,370,824,364,772,354,694,435,803,864,671,611,743,948,738,267,830,160,
879,543,589,820,237,111,837,757,475,991,958,661,541,434,168,264,288,860,301,
828,612,008,434,125,844,108,659,971,906,247,314,094,382,173,975,132,893,113,
078,503,509,763,867,437,930,065,316,638,705,736,998,572,800,683,025,691,602,
248,780,041,302,531,338,220,386,845,154,787,212,351,950,821,451,370,854,331,
669,675,623,548,783,785,230,191,024,779,730,897,669,844,168,862,435,393,443,
628,270,826,642,253,868,878,561,616,488,761,245,251,788,929,247,218,392,224,
114,511,183,387,864,366,095,836,352,370,719,725,969,127,453,181,462,861,395,
578,902,967,678,832,969,720,224,729,780,567,937,823,369,744,657,449,640,466,
803,378,120,044,648,667,086,903,583,563,207,543,549,460,600,693,653,382,985,
334,640,730,895,114,962,472,320,224,357,719,809,993,295,136,080,363,420,116,
410,887,397,394,084,548,704,982,070,845,194,680,753,004,790,865,169,526,442,
875,824,320,586,838,546,372,509,209,540,865,018,092,447,570,378,918,709,689,
379,553,103,459,131,568,817,334,506,109,970,536,874,496,962,355,641,364,908,
033,642,009,486,252,074,060,811,306,907,758,009,304,274,558,281,597,321,555,
546,199,311,426,320,018,558,391,338,200,541,269,004,418,000,493,132,212,520,
389,104,965,825,459,405,872,991,895,924,562,474,523,652,634,237,216,878,865,
193,406,589,050,829,404,903,223,500,193,205,988,146,016,667,934,223,202,527,
334,395,569,862,550,005,092,677,204,721,340,653,105,133,405,722,131,858,929,
968,257,074,596,520,027,952,679,808,477,677,675,491,950,180,981,471,789,603,
820,987,413,922,485,510,629,769,948,040,735,739,366,210,626,446,195,086,601,
255,347,321,689,682,322,929,949,400,991,962,528,350,356,062,225,129,412,810,
954,682,751,077,239,729,581,964,347,114,863,412,217,290,418,151,445,778,061,
174,436,505,704,572,957,865,450,542,586,026,899,927,355,940,191,177,235,268,
874,742,082,336,209,102,514,720,393,213,474,013,391,249,525,372,689,878,873,
193,099,010,008,648,013,152,983,400,847,973,962,281,322,145,317,157,499,698,
945,303,028,631,499,316,126,771,300,444,168,164,557,104,085,210,930,874,754,
421,844,805,126,561,564,725,672,315,483,973,890,346,224,411,392,685,768,385,
864,687,396,278,017,314,349,438,511,080,455,104,698,260,191,893,513,873,885,
510,051,729,411,786,609,803,673,689,438,496,979,861,041,124,857,711,708,936,
243,908,493,355,394,071,746,543,732,356,185,741,810,637,655,996,739,199,949,
921,998,028,215,591,256,944,982,226,782,539,693,066,516,530,616,411,029,789,
538,462,543,039,537,816,737,664,239,011,210,553,291,431,434,254,741,851,718,
963,848,571,443,162,814,473,799,199,635,472,274,762,687,943,881,878,905,435,
588,784,830,014,940,293,644,914,741,259,577,808,868,703,875,461,945,843,276,
572,350,462,888,417,925,799,795,159,093,715,967,526,210,755,326,579,776,452,
081,153,387,023,303,513,794,429,035,933,457,614,531,502,489,932,104,021,945,
602,038,444,990,513,161,292,397,741,608,206,707,765,055,319,242,151,014,095,
975,319,798,787,276,661,757,551,779,717,474,449,679,415,150,534,972,420,723,
421,693,432,931,967,944,440,541,906,546,666,903,238,659,058,776,128,219,467,
250,939,073,629,362,098,865,714,681,911,119,059,023,100,461,639,528,048,399,
821,058,621,232,473,082,369,412,104,374,118,413,256,152,508,961,327,944,915,
799,654,409,688,126,334,667,438,185,498,980,512,427,977,095,492,307,290,784,
612,456,039,613,345,069,990,341,362,546,552,649,614,816,282,835,780,628,000,
797,473,692,545,780,447,946,518,004,183,704,621,380,565,735,624,255,445,649,
175,548,460,882,692,727,177,266,977,557,603,115,780,598,064,263,400,161,044,
148,951,758,941,247,956,403,196,390,266,891,455,348,271,682,445,293,167,899,
161,676,118,645,434,592,214,040,334,328,513,707,353,944,738,130,872,381,668,
084,610,026,885,427,391,652,451,978,553,791,878,804,530,258,160,603,998,592,
244,814,678,736,994,321,540,343,826,525,481,015,116,935,292,976,945,621,978,
918,738,129,759,672,507,409,262,734,857,233,956,904,858,403,953,472,013,808,
340,291,744,132,445,469,540,477,424,105,972,218,676,994,659,032,928,762,748,
259,567,307,769,566,864,352,532,500,769,654,811,417,737,066,220,705,183,693,
665,624,032,185,181,913,519,039,101,023,338,193,747,067,537,029,655,288,203,
432,847,082,660,182,598,137,956,615,419,488,577,533,638,442,814,817,915,018,
461,397,508,373,967,384,023,238,998,192,309,534,438,333,241,152,521,509,548,
190,397,678,758,441,322,013,266,824,580,579,376,429,107,193,561,710,473,353,
470,663,091,954,818,057,481,123,297,643,756,164,184,209,176,519,168,095,242,
366,220,419,215,135,014,849,595,225,247,578,868,961,193,222,634,887,435,611,
400,206,094,986,865,294,313,374,895,641,880,967,820,801,679,462,760,879,933,
972,481,751,261,094,392,893,349,717,867,595,717,914,433,616,105,589,586,631,
880,002,701,151,394,853,679,234,250,425,522,822,359,234,588,072,166,557,812,
657,948,216,606,755,380,870,166,080,144,273,558,657,939,791,693,039,720,190,
591,400,730,877,097,839,403,667,488,712,857,335,998,270,000,978,840,856,662,
960,937,007,810,396,088,566,210,379,717,168,061,005,113,186,173,547,582,656,
158,327,245,070,322,208,904,268,190,030,383,216,239,289,294,736,451,564,719,
364,934,355,229,803,693,912,814,689,900,365,921,144,678,157,607,854,843,081,
347,071,414,550,625,540,564,567,146,287,594,428,919,145,877,119,913,683,122,
212,865,680,427,018,230,335,591,713,369,371,809,590,371,584,182,405,703,031,
280,559,378,674,947,106,930,944,275,857,546,679,950,715,841,969,114,221,567,
109,987,003,228,464,624,274,673,051,178,257,046,665,825,071,870,326,991,878,
935,076,058,839,496,283,171,575,828,227,445,087,987,204,093,614,494,491,995,
982,089,684,607,087,110,195,243,211,167,642,459,128,945,437,615,945,313,790,
038,391,154,381,998,167,377,558,023,457,404,693,408,255,744,707,038,132,872,
503,364,636,771,370,453,096,024,388,433,886,074,046,022,321,047,047,285,857,
749,006,504,694,683,298,152,554,232,488,946,500,508,349,124,637,599,755,309,
323,356,564,051,226,841,575,450,591,679,221,933,298,817,938,534,934,146,037,
798,458,205,093,991,063,588,580,855,293,850,057,247,064,629,299,376,865,264,
147,324,187,752,594,432,023,407,333,539,712,079,318,424,315,476,039,821,417,
115,771,195,573,162,991,358,796,029,073,004,554,761,110,914,567,058,349,216,
932,833,185,348,654,205,106,379,003,346,846,729,144,498,657,234,524,738,884,
270,955,547,249,907,690,781,541,673,704,584,853,722,529,154,864,552,363,767,
378,756,078,276,099,789,199,186,410,052,159,218,756,602,043,593,355,719,652,
094,183,131,143,863,810,265,919,096,652,494,867,484,970,595,252,644,543,586,
714,931,194,707,841,719,813,325,384,451,770,082,872,669,286,064,656,650,418,
849,844,295,926,537,742,373,500,465,413,083,693,284,280,811,228,192,750,511,
552,651,332,185,594,436,639,239,497,231,459,038,931,592,793,136,570,236,463,
190,509,005,061,733,809,017,115,452,052,031,106,387,730,435,769,770,054,587,
756,863,862,915,528,329,087,323,973,665,952,881,369,278,087,372,928,484,469,
732,588,248,091,898,573,011,340,859,215,166,149,068,021,357,059,762,155,819,
655,027,228,287,166,849,996,540,506,942,801,548,867,376,472,589,546,778,159,
200,685,370,852,711,251,611,173,514,525,369,574,628,133,229,207,052,456,947,
656,730,726,843,137,246,552,807,183,364,633,849,361,660,247,317,294,483,165,
585,159,258,693,979,254,228,547,010,538,421,339,581,622,198,371,656,998,236,
982,091,175,584,544,329,076,271,648,660,175,797,683,786,317,208,455,556,906,
447,967,388,760,043,046,291,563,499,316,391,303,986,020,623,342,662,023,592,
923,433,317,604,776,293,769,791,970,363,870,360,508,422,797,812,023,235,424,
723,869,248,001,460,960,156,326,563,752,211,433,790,503,166,916,765,686,077,
595,420,849,654,395,997,028,365,353,990,586,307,283,437,195,196,959,356,996,
775,602,924,078,782,725,975,141,991,338,837,430,205,703,033,965,472,937,113,
925,079,299,038,105,813,091,673,449,950,204,870,772,950,599,970,149,605,349,
087,594,746,750,862,258,723,746,110,969,112,378,287,796,228,250,712,804,632,
620,407,418,923,478,188,259,083,327,628,344,064,538,119,805,089,072,223,623,
367,929,215,577,858,962,118,845,493,022,219,464,728,423,161,145,977,067,377,
795,437,064,433,281,641,921,259,630,700,177,875,514,501,924,175,983,133,854,
195,648,270,933,256,288,964,908,489,250,309,367,703,062,407,797,362,879,994,
448,350,244,057,499,958,051,095,042,852,868,241,662,211,604,118,985,225,664,
079,456,599,446,633,251,176,082,783,809,206,962,860,185,100,401,506,806,519,
481,810,904,228,698,791,072,781,674,189,762,076,912,078,040,631,231,881,714,
928,979,381,695,275,746,790,701,060,551,518,106,357,408,538,499,800,417,428,
919,685,819,786,079,736,349,729,132,018,450,839,175,272,712,718,988,409,277,
083,384,457,248,853,614,702,482,167,826,358,329,400,162,136,459,594,760,650,
742,304,073,851,901,959,652,234,290,315,896,145,712,609,219,442,565,040,794,
116,370,913,768,197,078,096,064,742,183,327,928,277,878,017,269,496,601,924,
505,075,842,793,551,283,607,846,876,791,630,656,202,567,560,456,299,040,240,
923,781,194,831,527,402,988,477,032,226,199,931,666,544,508,982,010,209,936,
964,055,593,512,442,874,134,789,709,006,285,047,648,164,139,744,014,079,341,
435,724,877,391,227,449,464,134,799,370,373,977,275,210,529,303,466,186,938,
574,714,641,436,342,357,952,180,732,983,960,294,167,528,040,694,311,336,332,
569,910,692,694,252,844,962,362,724,230,129,192,315,745,652,273,412,279,736,
321,383,965,840,605,519,709,088,979,332,699,900,927,770,479,015,698,990,189,
982,939,670,789,235,700,933,192,400,009,490,255,208,210,172,609,909,234,269,
351,949,438,369,118,880,703,845,234,105,139,230,312,772,576,680,467,408,992,
083,512,947,892,040,855,512,550,198,267,268,759,938,430,026,800,899,154,244,
465,716,140,237,348,505,170,756,731,093,064,583,642,776,863,908,203,498,069,
927,486,660,386,361,585,551,345,819,230,760,969,804,902,224,727,494,364,813,
465,480,207,393,622,199,808,237,651,140,174,584,945,801,619,628,514,770,211,
938,848,019,352,528,421,419,396,968,158,930,291,605,822,950,206,306,786,175,
709,411,560,946,021,424,328,245,533,396,482,722,110,498,158,852,344,907,293,
282,515,264,632,123,052,052,155,323,075,354,119,849,154,300,659,618,747,984,
040,910,976,316,610,072,146,715,063,948,482,398,418,485,983,430,765,968,389,
556,584,825,906,459,234,733,941,186,506,451,128,119,819,759,579,541,568,982,
735,243,910,637,510,321,556,130,085,271,254,734,944,720,140,560,328,322,899,
568,388,396,262,232,286,422,075,331,244,803,113,070,832,794,837,274,779,790,
352,576,576,396,601,119,995,912,992,604,586,321,844,182,661,320,576,617,422,
761,237,304,770,077,539,443,953,125,070,571,267,679,747,883,456,974,010,252,
385,543,613,417,722,439,023,792,988,851,877,503,413,719,864,875,074,435,045,
386,929,294,706,964,303,903,048,446,791,758,727,392,774,426,617,851,913,980,
283,660,744,181,343,506,969,349,689,870,841,336,531,370,908,145,973,686,923,
595,699,432,976,055,256,690,553,904,695,243,107,671,597,321,800,086,505,207,
461,488,860,695,290,477,492,227,958,127,444,370,950,974,983,456,857,254,098,
865,725,059,099,687,070,558,332,189,836,199,151,270,818,899,790,746,852,353,
590,819,435,604,342,616,447,701,293,777,386,112,691,793,528,728,096,459,039,
555,375,576,298,245,081,189,459,341,792,642,649,458,128,245,691,941,376,902,
684,019,508,845,466,816,765,045,103,093,871,101,559,561,225,031,110,938,008,
402,455,359,753,049,645,531,493,922,444,749,987,660,740,745,872,420,120,159,
962,307,765,467,590,738,863,214,353,796,056,931,004,276,958,467,197,329,872,
524,332,813,653,954,571,292,721,403,294,873,425,630,978,163,421,147,517,019,
562,722,072,349,020,455,490,780,664,138,204,545,993,006,869,737,362,441,926,
654,620,849,966,589,635,744,921,725,805,942,052,964,392,130,133,054,113,587,
096,825,246,554,235,176,482,708,818,196,259,170,219,950,989,088,606,288,610,
430,379,312,352,849,295,145,817,663,420,662,543,730,716,110,875,654,055,132,
861,942,003,092,694,072,150,953,490,760,957,904,969,436,960,482,975,475,980,
998,913,740,090,621,488,448,678,828,815,032,748,287,601,895,531,829,558,075,
117,132,334,540,777,490,030,116,757,763,987,034,320,178,201,537,828,283,450,
027,102,053,855,424,141,980,473,475,558,540,790,909,203,266,577,552,032,063,
112,066,668,083,517,544,749,458,717,712,049,353,283,738,577,550,991,126,696,
564,028,942,706,420,840,956,995,734,249,261,361,465,045,274,412,718,034,820,
732,452,436,058,085,853,379,328,000,641,164,218,591,802,427,320,040,555,245,
065,342,891,262,238,490,691,646,428,095,406,806,629,169,519,244,081,803,746,
199,141,234,117,543,886,267,385,088,278,681,988,737,648,330,227,607,219,480,
429,465,643,854,821,411,325,341,066,921,289,342,650,386,733,772,605,400,010,
636,222,978,144,855,497,862,850,941,572,956,875,957,043,094,466,552,458,579,
798,507,552,643,344,214,254,025,157,868,321,619,489,113,143,431,740,876,986,
170,326,503,805,725,107,574,324,930,562,419,167,732,020,449,227,682,909,909,
397,599,078,113,454,582,650,950,868,013,670,919,360,318,207,265,775,578,064,
176,048,028,729,708,288,321,108,226,773,458,999,771,188,792,610,056,020,386,
513,289,601,076,059,798,993,655,481,548,049,301,345,251,060,955,921,189,758,
473,786,112,303,067,263,086,664,553,125,884,548,312,947,605,232,887,521,265,
989,973,966,337,382,261,679,288,055,949,203,634,955,761,315,606,387,871,465,
911,390,623,964,248,583,431,194,735,758,226,302,774,549,989,664,555,144,358,
107,924,383,285,681,039,066,221,793,607,315,138,287,219,701,053,668,226,000,
761,882,760,635,955,141,981,182,461,685,920,863,326,706,602,014,045,283,476,
243,160,889,509,389,101,218,325,972,657,818,645,294,370,002,722,309,208,972,
596,802,609,741,273,919,566,777,312,568,387,573,835,707,917,549,755,812,902,
063,517,879,239,387,220,694,424,670,165,219,779,920,697,893,797,260,376,001,
699,971,719,335,500,653,547,488,165,220,883,712,277,432,101,940,103,339,935,
117,624,479,012,295,626,106,797,634,693,354,752,777,762,525,344,647,583,167,
008,077,194,645,740,990,548,689,100,219,376,829,733,270,688,448,655,410,816,
329,475,876,308,846,430,439,510,140,718,570,261,595,597,871,469,298,168,091,
852,092,800,666,512,738,936,694,283,043,095,592,026,755,695,162,546,454,943,
667,279,657,670,183,676,096,482,480,883,186,148,924,699,882,267,315,823,506,
564,026,464,620,452,856,766,288,661,509,791,610,047,610,151,320,423,396,090,
453,799,267,988,120,072,971,113,558,061,978,367,737,959,811,248,669,436,193,
057,204,837,722,200,362,271,969,519,362,392,222,586,526,621,447,716,382,605,
344,059,188,150,037,771,072,511,732,039,982,090,472,548,612,298,800,929,366,
222,871,474,893,867,156,399,244,602,385,012,575,955,505,593,792,629,623,234,
185,747,594,250,322,508,679,151,258,982,635,294,697,627,503,904,535,848,179,
976,762,917,259,822,695,320,157,099,330,347,891,775,051,323,100,604,668,301,
571,912,382,447,073,938,188,162,287,710,280,899,406,132,582,722,487,037,164,
770,389,006,256,669,180,446,427,269,451,592,925,333,199,113,222,586,628,588,
258,389,982,695,678,379,919,513,733,007,040,668,602,904,890,610,800,614,368,
409,253,447,500,274,041,288,140,180,055,527,350,983,630,663,523,692,213,887,
921,834,729,904,091,774,089,662,722,233,840,747,087,874,108,309,908,915,001,
363,939,173,730,267,298,812,733,941,439,171,894,618,995,403,955,622,653,919,
431,558,086,536,978,390,196,221,158,595,894,368,912,071,292,817,733,541,671,
808,929,151,076,420,464,170,281,168,340,146,136,825,709,641,376,359,874,709,
803,661,789,232,034,867,878,284,272,250,753,188,085,387,667,470,126,835,266,
812,010,411,519,662,449,821,279,931,735,162,158,058,758,775,145,510,018,057,
429,323,794,936,700,488,721,898,171,720,867,049,767,445,472,208,103,366,861,
718,480,778,784,011,056,737,019,712,777,733,258,786,833,585,389,206,802,084,
745,191,319,773,687,981,864,123,460,889,957,136,236,184,858,216,620,488,264,
001,982,030,435,700,718,027,165,234,280,017,850,375,423,886,046,815,444,467,
208,249,147,669,792,764,162,566,176,012,840,688,055,936,866,058,343,776,087,
444,290,575,050,409,187,741,148,148,939,091,267,330,229,623,364,905,284,480,
196,954,489,670,958,360,984,213,448,558,258,947,869,584,870,054,500,467,622,
220,365,535,265,776,990,268,129,174,594,158,955,707,328,884,695,794,283,271,
116,139,065,869,341,579,398,739,443,840,380,659,981,750,188,888,101,197,549,
206,989,371,758,192,404,370,548,112,524,776,223,921,181,945,012,470,661,196,
389,806,127,502,258,546,889,292,085,257,654,929,195,011,161,000,920,018,092,
804,096,627,338,053,351,606,850,165,682,580,027,101,369,105,938,878,129,185,
466,051,915,346,578,384,011,136,543,318,740,708,521,680,470,054,230,897,205,
911,652,038,438,182,956,044,745,032,823,727,707,112,978,651,425,325,504,529,
736,948,671,963,289,277,709,916,389,085,827,607,636,653,738,141,138,098,072,
977,381,036,861,222,729,973,818,754,540,517,652,525,132,286,319,593,536,140,
423,015,664,821,933,855,775,227,516,395,052,070,816,527,681,639,594,371,547,
518,826,165,859,008,128,053,995,564,316,355,317,073,824,244,015,165,304,585,
631,000,655,689,224,239,270,603,573,435,257,878,553,806,499,964,308,476,026,
215,209,028,300,070,978,665,356,489,685,618,742,493,602,731,322,170,968,049,
583,048,281,735,288,335,988,439,343,324,136,054,146,680,790,068,086,138,030,
065,340,044,715,059,847,707,389,468,058,673,981,010,109,547,007,636,841,679,
128,612,593,027,972,383,819,181,230,491,877,821,031,063,607,341,973,773,436,
194,715,838,552,973,923,979,412,552,507,914,534,759,623,394,909,085,715,690,
880,929,132,816,947,858,882,029,884,165,584,001,711,539,355,137,399,444,602,
517,958,745,654,886,182,116,133,915,947,368,120,636,665,260,471,918,938,575,
935,844,714,668,335,085,680,903,227,326,474,732,037,583,197,710,997,322,005,
321,976,433,314,436,101,965,653,106,944,987,548,293,291,664,726,193,579,725,
824,370,224,587,926,076,321,118,203,013,509,342,402,867,629,570,257,932,871,
128,253,254,510,785,644,300,163,190,951,174,818,517,333,551,270,947,048,823,
098,591,320,873,819,272,332,550,395,146,753,893,237,062,032,959,670,729,359,
163,043,996,645,111,300,656,176,767,727,619,620,929,571,438,133,848,077,775,
992,900,288,578,216,301,630,036,501,865,695,658,007,127,722,920,632,797,863,
087,083,571,075,230,673,434,225,781,159,054,180,023,584,090,229,975,796,002,
811,393,672,956,674,239,248,882,178,779,854,453,612,430,681,582,432,048,910,
989,217,539,205,068,204,100,377,701,550,597,359,549,177,046,002,395,525,927,
212,002,345,290,406,324,954,864,473,283,218,403,997,080,556,917,181,250,233,
090,468,235,965,171,872,425,348,619,846,835,755,629,598,770,862,187,410,792,
992,403,283,800,182,421,766,959,700,600,889,338,531,236,824,564,450,910,706,
536,517,773,939,624,190,305,085,501,656,372,625,905,211,992,115,948,207,544,
865,056,623,546,599,581,551,488,834,435,042,211,418,345,383,629,345,622,391,
419,958,591,933,865,532,695,695,466,427,293,945,869,170,946,821,736,641,996,
928,791,992,351,947,376,326,314,537,877,864,421,580,357,437,426,595,929,929,
298,057,432,613,916,047,845,223,294,128,192,075,351,895,951,798,127,362,224,
100,005,703,977,600,061,074,368,875,970,560,115,426,064,389,598,557,670,373,
814,274,729,723,402,800,092,338,702,105,720,058,886,428,061,168,945,555,336,
074,753,962,158,569,019,276,317,935,006,944,971,547,559,924,182,005,049,380,
816,665,636,668,532,851,779,805,172,278,887,851,900,411,127,263,099,971,899,
511,651,207,567,850,746,372,981,070,720,555,376,812,424,994,678,473,506,720,
009,078,038,395,257,773,036,128,107,015,219,906,894,865,139,980,114,807,957,
143,466,326,988,614,010,973,013,003,347,158,099,934,214,135,247,834,524,943,
015,037,154,899,439,182,544,858,364,931,537,471,797,941,840,834,317,571,224,
148,390,679,397,717,136,709,466,663,448,633,651,494,864,306,255,051,386,136,
753,882,682,417,481,519,166,809,302,767,698,868,498,909,832,169,236,200,139,
450,943,332,884,630,117,864,855,891,625,640,953,590,292,951,040,729,470,236,
387,317,688,327,318,620,418,370,615,021,471,288,214,264,286,632,027,024,502,
164,294,013,886,521,037,112,032,737,653,428,639,675,591,182,415,834,614,895,
678,175,635,889,129,743,634,536,886,755,627,056,038,505,767,419,817,475,097,
826,801,150,307,310,615,332,661,413,943,941,610,879,178,435,357,451,430,730,
476,248,235,435,360,165,255,995,254,610,162,348,057,735,169,077,945,621,872,
568,918,014,462,152,194,886,555,898,244,081,852,444,394,393,929,327,863,616,
006,740,299,931,239,676,142,432,398,681,632,659,468,086,244,643,472,882,451,
518,905,280,451,553,100,296,773,653,108,423,996,751,495,405,574,673,294,697,
868,616,644,740,981,977,730,165,935,326,865,553,051,896,891,581,205,621,004,
397,746,123,921,272,921,114,391,724,916,881,335,403,728,195,828,923,422,596,
620,849,560,588,246,013,750,935,356,060,131,060,826,841,755,729,180,206,007,
247,708,952,836,877,244,734,111,414,876,791,964,639,088,701,772,529,723,559,
365,486,556,345,596,628,021,070,457,705,948,219,733,458,751,944,249,878,026,
578,606,325,040,048,786,372,184,458,758,938,020,590,296,933,148,762,700,471,
741,691,955,234,354,560,784,893,677,072,998,919,644,513,072,519,038,875,098,
552,193,430,743,301,187,280,571,440,704,922,421,729,811,415,639,738,757,051,
552,214,073,974,072,565,591,847,532,234,582,836,582,477,017,989,342,589,619,
223,097,464,858,151,471,866,759,233,639,265,978,855,443,808,109,664,992,701,
388,922,623,448,425,832,074,012,894,313,125,643,495,556,077,899,167,331,928,
630,073,588,445,453,147,033,560,854,446,891,935,335,996,180,106,867,546,587,
896,885,400,871,221,065,568,976,701,165,157,621,230,110,283,579,055,930,157,
607,299,005,396,745,783,736,815,594,363,570,886,085,930,112,849,433,476,351,
777,758,746,002,054,967,008,776,158,549,974,242,435,860,705,170,205,909,690,
039,027,536,253,165,464,495,410,202,193,924,550,130,095,687,601,282,429,494,
492,545,599,006,250,859,217,320,561,796,673,551,185,874,689,989,805,853,712,
946,345,475,987,486,808,044,785,013,268,420,612,444,713,637,684,921,305,546,
448,989,471,216,798,113,378,133,431,331,643,435,159,421,135,410,338,667,165,
369,009,681,046,719,204,782,574,793,741,761,751,241,162,986,100,770,541,930,
602,713,602,814,676,487,496,242,099,129,481,705,257,676,300,737,044,381,399,
473,373,703,991,306,391,494,798,609,952,345,670,254,258,096,567,890,421,963,
246,513,327,255,835,096,730,344,069,008,990,950,875,788,786,813,629,954,051,
203,780,109,480,420,734,866,230,278,622,369,366,714,636,583,004,305,158,149,
734,394,639,247,660,770,500,507,477,749,055,524,508,433,206,040,853,822,056,
095,977,353,192,802,875,267,336,725,714,573,281,269,782,676,815,912,662,655,
969,990,414,114,144,080,068,918,918,023,740,880,421,251,794,385,076,540,054,
755,138,927,641,858,695,976,993,272,460,295,981,532,580,379,854,890,742,739,
946,150,388,796,531,624,477,906,251,416,681,883,841,790,720,462,762,212,067,
205,156,278,004,222,429,503,929,726,193,026,289,369,279,083,731,003,176,276,
581,533,858,736,209,861,490,664,038,989,487,152,682,773,703,898,346,268,346,
793,449,137,555,742,333,888,035,614,423,994,795,547,805,139,665,689,177,422,
803,455,142,923,667,223,600,113,776,123,864,453,293,532,652,708,193,882,461,
047,664,423,017,228,781,130,788,782,628,994,252,026,149,820,910,001,190,432,
863,739,314,965,401,025,185,667,330,544,921,357,584,468,757,537,107,288,851,
349,053,899,335,345,395,666,416,778,599,526,888,780,668,372,631,804,384,012,
481,516,970,456,000,575,464,924,427,477,044,426,413,926,316,526,858,004,705,
699,899,513,144,863,445,758,190,564,287,805,146,066,885,680,626,721,906,910,
349,805,186,141,912,785,044,569,977,350,280,393,920,037,447,415,728,554,618,
857,398,599,194,548,663,521,233,148,523,857,498,547,648,942,931,275,261,853,
759,505,059,764,991,878,645,707,435,735,213,868,990,267,679,204,300,357,098,
966,297,210,163,239,920,042,749,719,509,142,597,648,321,194,720,042,488,922,
292,877,408,138,779,014,928,526,806,489,829,820,391,009,502,016,817,317,008,
549,800,482,179,042,913,373,805,045,406,513,277,773,087,454,696,501,835,530,
268,009,129,386,368,789,808,335,780,556,718,617,335,485,946,871,854,134,563,
061,996,725,792,154,859,802,275,093,763,866,309,121,805,652,761,822,449,481,
997,320,732,170,134,894,226,258,279,867,327,304,662,296,250,491,992,307,123,
315,001,888,937,816,807,358,248,852,388,765,840,665,294,607,579,676,983,620,
202,132,853,357,638,618,688,932,712,477,743,410,013,415,609,449,462,745,636,
476,390,292,578,360,580,306,640,116,076,536,438,253,955,444,226,060,480,671,
548,386,141,359,003,358,615,143,453,052,535,940,816,026,626,115,436,329,712,
932,756,717,302,459,103,937,460,193,149,069,381,081,589,850,592,553,983,867,
561,018,880,322,294,528,208,303,663,790,257,988,278,247,473,783,146,374,552,
251,362,175,445,902,242,025,466,177,642,797,292,858,437,275,810,817,396,952,
266,514,199,507,741,415,720,799,889,269,227,480,101,228,926,101,069,659,142,
377,160,299,612,802,423,071,957,620,712,858,215,311,425,556,089,932,644,806,
337,979,897,397,330,959,469,700,624,580,665,492,261,381,609,231,862,515,347,
111,938,589,434,419,535,224,576,875,923,022,766,835,442,972,436,092,583,762,
521,986,967,954,903,584,064,052,070,542,989,648,465,488,957,520,896,618,123,
922,342,592,752,601,237,237,373,636,177,702,055,381,376,518,675,273,265,056,
640,156,018,346,444,361,977,506,116,689,237,112,481,504,606,219,338,261,949,
727,243,384,216,796,552,028,888,433,734,082,781,119,783,331,174,708,120,914,
276,242,677,085,422,265,332,056,750,949,835,551,523,769,292,465,034,315,613,
657,175,733,564,529,996,234,450,929,387,867,232,862,310,544,237,507,909,513,
383,379,098,898,920,131,828,955,491,767,870,093,632,791,592,836,737,255,383,
355,241,203,919,269,096,793,778,789,235,648,906,771,183,915,476,927,915,473,
560,319,149,041,412,980,330,662,273,937,061,620,675,466,301,498,398,522,881,
985,717,457,581,004,981,314,167,463,567,521,303,452,241,104,522,817,259,435,
595,886,574,538,286,615,830,910,560,788,349,889,365,953,253,284,844,018,824,
804,733,126,305,696,969,971,053,731,883,929,185,230,513,433,026,845,731,616,
545,486,537,616,815,081,785,120,213,079,389,910,043,878,434,832,015,931,657,
185,691,121,837,095,718,029,276,055,783,087,001,789,339,006,376,151,275,294,
617,020,654,282,788,973,205,449,580,318,640,755,440,394,377,773,593,987,147,
093,783,904,028,698,511,097,545,541,811,959,064,810,133,606,875,404,861,060,
207,305,885,994,481,440,079,514,075,904,461,586,205,498,255,165,961,756,132,
085,960,916,029,859,952,914,249,486,295,181,618,608,765,794,324,746,492,385,
497,109,999,718,128,757,783,883,344,900,489,633,277,402,306,144,992,098,918,
703,972,967,757,125,802,123,973,309,593,861,102,834,432,400,777,727,620,915,
480,688,611,165,398,370,520,702,189,766,120,390,034,610,137,020,510,381,734,
818,699,093,701,753,585,598,903,220,216,397,124,941,916,730,832,586,848,058,
743,186,463,285,812,149,830,837,182,809,804,086,628,618,213,136,425,121,964,
258,088,944,561,369,784,418,515,312,678,957,596,199,643,386,429,185,036,664,
152,982,378,040,494,553,112,807,417,932,974,336,483,752,152,144,940,196,899,
974,260,651,210,202,522,738,319,034,982,299,026,026,452,840,821,706,367,100,
953,450,778,032,501,940,469,709,343,669,866,518,363,021,790,890,089,166,001,
643,021,068,482,155,002,552,731,687,335,167,566,594,613,124,837,712,489,110,
109,775,108,273,286,521,269,615,687,765,014,257,026,328,538,619,691,260,909,
228,814,417,379,609,312,550,658,208,712,138,403,037,002,171,122,520,959,724,
305,336,737,385,589,142,406,820,067,286,757,361,522,843,651,110,388,360,448,
690,680,054,626,540,205,716,390,665,445,830,533,755,087,446,418,727,771,187,
175,968,578,552,164,972,770,253,917,872,369,382,123,104,483,393,975,101,834,
671,928,172,029,815,210,571,511,435,300,827,645,683,469,085,649,658,130,302,
490,901,342,487,270,085,834,742,399,669,901,252,805,058,900,997,294,087,676,
626,990,670,457,478,131,708,716,854,231,445,577,337,085,288,310,321,016,643,
222,740,028,115,960,924,860,358,947,549,604,532,923,736,607,042,296,612,604,
417,523,752,112,603,560,539,984,564,551,133,424,152,818,426,753,810,645,471,
516,243,597,388,215,047,028,603,151,920,083,296,079,632,246,445,760,737,318,
439,948,147,096,269,725,366,557,382,667,990,120,546,334,835,988,083,646,807,
561,014,178,919,329,764,920,061,699,866,395,799,835,300,400,178,312,827,741,
848,478,004,387,514,857,785,806,476,967,725,514,812,534,424,958,557,037,373,
431,900,332,244,678,915,882,160,411,980,612,616,018,777,159,002,648,689,706,
887,411,258,280,490,139,387,684,431,261,252,935,033,785,962,489,984,675,254,
902,523,228,774,752,278,788,623,231,024,302,982,606,859,405,874,226,254,995,
690,152,187,436,703,542,134,014,050,654,175,106,237,364,699,325,341,827,275,
725,108,145,138,210,061,705,283,461,464,496,166,435,540,309,699,686,282,554,
202,149,333,045,490,312,663,634,478,720,931,073,161,813,305,615,285,656,637,
877,615,800,166,570,580,043,512,853,739,885,290,259,123,819,741,880,150,999,
023,062,597,778,062,868,423,768,047,446,921,170,814,918,360,822,777,351,592,
209,661,773,039,035,602,334,618,921,075,858,471,207,004,086,178,366,551,444,
274,028,866,208,964,156,562,767,626,951,971,086,291,611,435,899,482,375,915,
609,703,693,246,920,698,990,253,541,621,901,329,686,641,747,731,976,080,573,
948,549,606,676,046,839,753,438,750,892,354,547,056,715,034,968,604,630,790,
702,890,919,598,229,268,037,349,379,033,734,391,836,297,035,669,877,751,489,
402,764,363,451,897,820,268,731,267,061,716,248,250,152,187,941,515,345,681,
989,676,831,931,957,743,176,711,036,541,917,789,222,599,199,940,731,526,932,
669,367,292,244,335,567,624,776,879,220,471,414,029,386,048,361,011,701,770,
125,093,851,165,017,524,898,770,761,280,080,992,724,440,703,084,556,453,646,
762,856,086,685,656,201,108,102,960,102,913,217,728,171,412,641,824,432,274,
215,595,783,066,783,393,510,664,894,930,307,193,276,608,303,100,347,873,955,
873,347,420,646,092,156,035,354,399,282,108,704,507,064,508,310,733,317,626,
139,464,954,618,481,737,110,857,035,709,959,731,397,102,686,397,158,179,328,
156,972,793,622,672,073,179,158,310,003,628,393,611,241,664,511,002,989,184,
297,670,861,910,027,523,894,532,346,118,871,083,382,796,171,907,925,761,694,
927,619,908,261,104,207,788,112,690,393,251,463,660,114,118,070,456,983,284,
343,431,728,364,960,241,561,660,694,930,296,770,827,314,781,762,208,408,391,
017,369,524,888,968,352,653,421,591,906,386,317,798,107,113,826,594,981,742,
487,628,827,301,375,224,638,783,988,615,589,981,483,813,595,600,628,307,042,
155,683,211,825,712,306,862,736,850,033,408,851,434,866,973,537,962,656,356,
116,445,623,216,718,493,983,303,154,358,357,299,381,905,143,407,587,716,407,
094,830,614,239,736,498,332,619,765,345,396,619,537,309,278,868,168,783,461,
685,311,160,173,830,890,970,462,517,960,107,655,865,207,324,383,113,066,058,
135,715,229,237,750,874,244,360,491,566,840,791,322,448,505,117,022,066,309,
627,074,840,904,919,501,143,843,700,490,809,432,244,907,584,310,623,501,105,
422,571,188,644,779,984,307,040,245,239,188,051,081,977,034,437,758,006,014,
321,758,099,602,669,075,581,615,176,820,275,341,023,355,851,942,555,468,360,
504,684,179,822,622,578,634,517,990,886,825,715,263,890,833,519,506,534,573,
022,608,472,192,867,364,540,331,436,138,476,107,697,516,101,519,507,502,735,
881,885,560,242,923,271,761,281,837,992,238,242,666,229,301,903,174,418,811,
468,569,136,074,736,073,703,642,645,549,490,192,527,835,903,046,241,905,956,
418,076,415,796,555,305,568,301,216,368,223,323,157,264,418,913,694,091,499,
915,139,892,107,852,790,535,615,013,261,807,066,844,970,304,934,942,094,515,
311,859,933,996,534,349,271,432,919,201,572,545,856,855,816,004,387,901,661,
371,303,701,986,075,761,067,128,781,150,469,993,168,782,704,390,041,131,187,
493,029,191,763,116,003,049,497,925,322,454,041,891,998,922,934,775,997,016,
959,143,691,068,422,688,473,002,584,235,905,827,558,692,065,729,909,238,780,
318,128,530,157,046,451,212,306,418,593,634,161,379,662,115,902,828,829,424,
975,012,400,623,247,968,960,571,431,636,726,352,408,139,180,473,027,039,060,
259,894,021,574,540,165,055,996,352,633,698,795,028,373,473,634,877,695,812,
324,813,004,638,073,971,179,434,910,768,047,154,437,367,724,467,707,693,069,
510,298,941,712,696,525,419,904,653,793,351,837,175,103,147,792,647,441,054,
910,657,931,866,058,410,869,428,150,288,018,249,709,422,217,208,729,806,453,
842,907,864,514,937,110,334,939,597,023,639,603,436,250,454,949,610,864,080,
082,727,617,876,548,155,565,339,384,307,352,713,606,039,373,460,245,990,733,
684,779,873,729,004,070,086,199,452,192,920,162,390,566,939,581,454,726,439,
449,631,024,993,550,311,946,545,034,529,541,622,321,269,189,992,422,944,439,
197,663,823,931,165,827,567,347,805,358,741,754,738,626,338,633,190,869,463,
670,362,324,665,149,155,465,215,432,297,957,854,997,689,560,045,265,530,512,
114,329,358,125,397,270,526,686,968,018,842,378,116,804,821,693,924,088,062,
496,489,655,824,192,291,190,509,387,881,021,008,211,710,279,358,756,440,972,
949,980,475,627,714,936,774,222,205,397,592,216,857,531,384,976,518,698,857,
021,534,957,140,514,187,555,795,837,522,145,907,046,941,710,216,767,472,235,
676,865,811,625,675,517,307,896,698,551,293,243,715,198,649,834,868,005,856,
365,018,864,791,770,111,029,286,474,801,867,329,331,572,296,114,872,551,601,
628,922,386,185,416,990,502,630,807,302,954,862,760,406,996,948,645,079,797,
030,424,615,912,466,261,469,330,039,719,044,515,232,117,416,116,567,862,799,
061,658,570,369,226,498,026,452,674,105,524,344,880,755,239,344,520,601,101,
843,988,408,568,665,377,634,010,274,386,256,028,756,353,661,359,109,305,001,
606,317,523,490,718,010,475,164,198,050,369,708,863,683,266,247,295,654,260,
564,596,207,009,039,353,603,717,873,717,920,735,518,137,411,376,179,350,421,
815,862,120,220,304,774,269,480,512,485,370,903,009,526,338,290,377,398,033,
769,607,203,144,248,659,951,636,768,197,070,393,413,419,166,658,991,195,868,
591,040,489,737,633,120,282,834,947,082,673,642,848,014,033,241,969,822,686,
395,745,214,252,038,732,481,353,743,732,490,402,628,270,812,620,944,349,028,
049,723,603,414,432,355,413,932,358,746,527,940,567,074,000,690,535,792,816,
498,024,972,878,637,788,089,849,599,506,903,661,783,141,481,049,115,767,145,
440,444,007,478,709,055,123,372,094,583,315,071,702,651,462,744,237,733,841,
400,297,653,302,165,707,507,187,431,478,882,106,330,110,556,622,875,422,112,
986,404,226,239,160,795,138,723,729,509,766,999,919,635,891,577,011,532,164,
925,605,356,743,742,858,967,112,907,352,886,596,430,528,394,718,044,817,934,
124,824,883,386,630,691,980,077,614,091,814,865,435,759,490,340,233,365,933,
706,442,162,018,244,662,744,311,186,143,142,570,552,612,787,482,739,938,296,
732,135,399,768,721,309,282,217,821,662,517,090,982,170,825,563,458,178,164,
915,164,885,908,624,028,208,764,499,521,090,209,346,213,014,894,631,722,717,
569,975,929,132,611,370,517,628,798,306,950,943,599,118,599,143,834,595,945,
721,391,423,814,779,232,084,393,878,065,345,738,001,946,850,955,733,677,056,
215,736,986,575,465,211,101,395,207,724,573,091,671,165,841,405,546,647,967,
534,779,095,327,746,695,158,292,644,363,354,530,123,355,937,299,806,316,599,
779,211,060,790,695,947,233,496,803,687,864,697,218,310,239,553,371,348,322,
058,189,873,487,940,408,661,003,171,660,818,308,342,481,576,256,896,021,654,
369,095,899,792,019,801,029,211,283,259,177,824,110,001,348,252,119,302,194,
916,606,245,061,705,977,357,593,433,249,420,800,776,731,612,138,775,930,093,
144,743,355,349,334,697,488,845,004,299,699,572,104,663,154,032,667,194,045,
686,502,296,723,848,744,037,288,036,076,238,291,628,662,462,774,826,584,009,
991,093,921,605,626,529,915,851,056,196,630,054,433,496,943,541,257,378,261,
926,843,987,970,333,314,978,442,556,524,527,398,878,659,560,046,412,620,851,
051,048,388,445,676,417,128,873,704,244,349,198,912,808,062,486,594,210,606,
230,566,565,093,774,553,055,579,724,909,548,967,826,215,048,557,090,633,202,
337,266,685,954,529,013,688,373,465,137,346,400,817,265,570,247,917,926,027,
037,443,811,941,743,053,034,259,526,872,243,256,074,432,338,327,794,875,384,
270,677,326,457,310,787,476,127,733,483,534,907,437,860,484,083,382,410,468,
758,594,286,253,300,188,148,709,013,518,398,070,737,950,227,903,481,991,187,
658,706,944,032,880,463,831,558,238,515,558,782,944,816,855,819,973,311,701,
012,835,691,298,069,690,202,685,241,561,221,050,622,075,255,589,049,527,318,
093,977,837,177,990,274,416,128,867,275,841,582,124,632,496,583,183,101,194,
916,284,535,167,192,086,444,066,702,375,268,765,373,085,326,142,297,947,926,
142,059,201,438,753,598,815,051,349,980,626,517,501,190,909,881,207,530,038,
942,709,524,979,827,842,427,622,077,559,123,514,030,994,346,489,058,399,406,
306,980,090,226,400,522,989,119,595,775,183,245,251,930,281,032,273,745,820,
689,444,735,208,689,034,199,473,704,676,994,116,605,440,242,019,530,193,637,
332,137,597,807,404,844,954,576,883,309,793,356,559,927,999,381,451,034,222,
494,224,404,437,455,530,260,019,048,994,779,406,352,281,132,107,724,176,746,
595,232,136,709,339,684,427,751,849,070,285,878,167,600,493,553,945,713,301,
317,479,914,630,549,506,089,528,192,148,972,419,086,593,376,466,630,544,120,
858,648,000,033,152,055,430,112,391,315,872,863,699,160,642,515,094,874,939,
084,806,807,904,497,282,340,409,397,524,756,971,194,702,133,821,329,473,522,
693,084,777,006,699,081,050,839,971,275,534,489,639,902,425,300,217,872,860,
609,789,458,010,286,189,096,365,289,057,899,928,608,324,746,002,070,258,849,
163,355,374,128,580,265,992,592,471,855,813,927,988,180,373,836,010,673,405,
060,419,339,179,921,726,984,914,274,569,956,757,007,055,311,636,329,576,984,
087,164,457,601,223,422,866,593,157,085,243,635,402,601,357,972,603,827,487,
287,537,943,913,692,256,038,660,181,242,900,071,219,923,695,537,742,765,485,
419,517,951,372,359,710,259,570,126,195,689,730,824,974,894,433,483,096,667,
556,909,815,273,619,892,740,478,244,878,387,897,018,602,377,491,612,633,854,
531,136,239,600,439,015,152,011,053,003,979,000,974,893,551,601,515,595,854,
215,237,025,472,905,384,831,102,805,562,181,449,213,806,273,232,068,908,871,
015,858,332,316,956,138,202,591,958,469,095,911,166,223,524,665,172,736,232,
529,615,439,310,394,412,337,803,089,291,090,580,526,837,457,756,595,451,868,
967,311,848,074,984,150,974,358,472,485,456,965,981,915,893,606,027,211,905,
614,081,606,399,863,816,701,665,831,537,855,155,883,375,818,624,073,879,047,
893,598,246,321,090,220,217,659,441,767,784,038,106,890,909,322,518,954,436,
845,749,924,223,341,860,934,374,638,661,958,294,198,420,960,342,100,039,198,
408,410,578,957,310,756,344,255,407,497,059,175,229,738,088,123,145,360,978,
393,844,825,194,307,552,246,072,713,485,761,772,758,870,973,181,485,989,973,
816,517,883,452,715,943,517,908,353,159,685,546,871,294,864,108,045,342,879,
413,306,659,227,255,964,708,853,103,153,103,914,214,881,561,508,655,150,921,
444,245,144,389,508,847,878,143,221,840,624,419,646,714,064,039,767,414,453,
275,800,512,607,085,215,331,907,878,936,085,018,485,698,403,512,198,105,219,
436,577,151,086,406,231,468,902,051,620,047,156,857,012,196,731,832,388,296,
205,691,566,496,760,626,942,668,154,010,863,106,642,830,231,983,513,945,914,
487,015,733,452,515,196,913,619,359,694,640,416,672,290,181,031,887,869,686,
973,314,883,479,102,269,630,294,090,436,267,409,837,868,426,386,758,283,731,
981,834,901,205,633,139,286,606,840,564,861,403,551,923,406,837,218,170,592,
070,666,754,114,415,685,258,489,218,697,868,392,097,233,972,822,778,873,810,
840,332,562,285,906,997,225,891,332,088,081,590,532,444,635,323,103,322,858,
581,327,997,779,378,113,826,361,220,597,386,355,410,560,427,671,953,465,182,
403,944,220,179,444,316,076,176,398,898,234,256,952,181,846,618,050,655,504,
000,566,771,937,768,384,623,998,200,518,918,354,364,400,106,968,362,637,044,
261,160,496,225,221,084,960,447,395,409,243,812,190,525,514,379,412,643,255,
072,024,600,273,425,404,181,521,606,021,762,153,971,971,759,106,554,263,774,
917,079,116,117,204,504,710,892,333,393,330,548,598,859,857,811,650,661,455,
722,146,789,896,242,993,527,508,892,733,946,795,132,581,614,640,794,339,817,
666,399,383,579,971,538,923,344,501,909,469,571,354,018,310,523,757,291,928,
976,883,234,010,597,974,467,617,936,389,777,717,535,380,138,850,429,431,594,
401,063,053,948,073,910,302,093,459,333,540,044,169,277,739,481,561,169,341,
651,375,437,929,503,665,786,874,610,627,644,408,311,618,612,344,967,435,292,
379,895,603,134,401,496,317,432,398,569,321,471,412,279,537,676,276,149,140,
935,217,403,796,976,996,398,300,768,839,697,269,383,901,335,816,737,369,692,
927,582,482,434,459,949,869,069,908,110,811,777,108,615,079,651,061,667,131,
575,359,355,501,568,469,638,508,900,603,355,638,141,865,545,348,567,031,416,
151,368,865,584,598,743,450,293,353,767,688,227,991,259,449,959,700,870,851,
278,651,000,892,105,672,656,168,293,250,268,211,226,097,798,856,107,834,151,
981,105,852,831,609,830,492,699,612,039,745,247,714,160,651,643,511,357,240,
050,913,420,455,039,009,144,551,402,258,060,413,687,669,033,139,162,537,343,
707,123,690,114,300,606,621,395,407,412,386,391,788,924,035,608,665,537,563,
258,939,508,008,067,696,689,627,072,738,439,287,709,321,852,014,041,413,856,
395,647,801,260,387,389,901,670,040,790,310,912,837,449,032,720,502,638,886,
118,691,985,838,695,964,233,132,602,301,076,972,894,927,407,062,286,120,928,
440,022,665,810,641,721,252,000,549,778,419,486,810,977,146,410,567,845,740,
535,764,858,718,317,292,143,121,789,458,860,376,760,734,190,273,458,777,166,
198,221,271,285,568,340,656,377,147,883,570,892,306,400,541,416,042,414,084,
390,442,608,675,325,345,827,449,058,224,505,662,079,497,983,395,235,371,540,
645,653,656,240,458,901,025,383,966,357,173,271,026,896,475,457,682,360,101,
431,679,976,892,337,880,017,549,930,606,343,142,264,831,493,301,001,740,767,
381,943,512,211,757,315,633,653,170,269,939,213,894,851,754,902,582,112,531,
242,081,027,449,365,207,782,074,966,732,093,930,964,031,470,686,421,405,360,
321,526,700,694,306,282,648,654,542,418,252,804,232,627,328,027,256,284,770,
650,323,215,295,849,964,096,537,153,303,735,022,732,927,968,434,542,104,404,
794,409,579,521,898,409,942,302,704,396,484,307,586,044,468,243,021,222,586,
986,565,099,646,567,170,360,481,844,936,166,293,794,956,128,229,308,338,326,
611,326,647,847,615,203,359,109,351,000,952,354,189,068,436,992,317,991,724,
479,786,817,273,850,058,225,053,172,749,160,987,419,597,548,121,494,944,253,
516,620,203,536,287,444,076,898,709,867,224,858,908,818,610,380,826,163,269,
733,227,137,738,473,427,276,853,172,948,345,438,801,821,995,035,693,257,670,
072,164,314,034,275,704,756,741,562,609,434,556,961,872,341,539,168,783,066,
562,233,556,398,123,916,390,800,183,289,397,817,731,963,208,456,069,308,585,
046,359,656,800,025,258,434,918,175,753,263,961,663,519,654,339,563,063,960,
969,983,492,347,714,921,820,933,866,757,072,620,440,005,512,286,049,790,322,
408,946,594,394,442,704,963,015,415,369,367,338,956,415,614,967,109,605,036,
780,487,772,033,745,269,069,162,314,671,523,279,645,831,370,305,787,236,974,
717,368,276,146,178,006,734,480,453,663,238,983,625,097,613,057,503,111,380,
127,195,349,605,753,100,554,371,040,575,493,928,649,119,392,998,287,700,694,
789,426,681,151,628,333,989,654,790,075,897,460,852,810,930,200,461,552,432,
194,337,602,187,468,277,892,948,634,458,494,423,393,282,116,607,956,692,088,
155,551,723,890,259,231,552,866,118,772,183,206,501,324,621,620,667,934,613,
061,555,793,001,929,732,938,618,969,197,804,927,064,823,247,270,446,526,009,
381,374,428,016,171,729,963,707,272,873,293,350,771,908,687,088,949,265,960,
351,549,036,733,336,569,671,890,022,081,927,521,544,072,420,080,384,465,078,
857,858,221,608,945,646,686,239,758,121,367,517,241,743,850,664,500,134,706,
230,920,041,116,008,383,281,971,825,968,913,461,729,612,165,225,473,913,796,
452,034,252,173,031,046,823,515,294,612,317,815,429,965,416,869,148,530,410,
803,747,937,605,847,068,265,794,769,574,809,044,719,797,758,159,791,246,188,
224,757,291,528,040,478,688,882,686,740,330,718,479,925,648,749,153,266,770,
094,600,713,873,121,867,284,872,525,347,946,515,797,576,810,072,115,091,553,
066,999,542,788,825,995,921,283,948,919,813,552,381,467,662,601,015,835,211,
954,382,952,312,316,236,666,415,842,641,572,077,684,284,397,965,398,048,975,
038,265,742,866,258,392,220,210,951,172,379,109,981,841,759,602,735,829,030,
081,764,547,375,665,507,628,861,310,993,592,603,633,204,276,212,637,685,168,
541,178,018,761,871,575,638,506,931,273,812,225,553,163,079,992,172,533,708,
422,128,989,855,070,507,261,171,470,488,350,341,508,346,554,071,125,543,445,
718,129,823,807,629,703,822,761,213,907,597,436,612,857,511,172,363,663,110,
364,617,960,210,782,660,669,028,021,197,650,897,669,170,742,261,228,034,821,
600,957,849,252,763,619,158,368,787,604,653,319,979,400,120,626,678,706,275,
398,048,296,073,881,735,862,653,742,405,758,400,943,896,451,443,767,404,575,
394,865,239,586,682,474,960,605,332,541,310,711,246,263,947,137,100,314,954,
654,686,545,786,077,956,091,139,536,526,734,330,180,428,969,823,484,741,314,
717,373,752,329,469,865,266,512,685,090,927,821,922,718,841,696,041,356,854,
733,683,455,171,014,301,884,818,556,534,047,445,827,106,831,687,930,340,463,
576,109,800,261,290,624,686,429,647,562,295,285,024,035,463,813,019,800,540,
162,771,410,372,041,272,944,695,362,757,397,092,281,630,484,326,733,888,299,
357,462,554,148,462,005,329,356,467,206,891,494,418,056,975,036,589,975,875,
335,456,182,427,043,541,659,518,976,134,073,845,478,083,247,468,606,940,341,
366,250,434,522,971,688,966,226,461,183,152,870,930,971,878,282,677,222,479,
236,966,510,131,181,764,010,347,330,068,532,315,737,721,302,612,912,880,177,
667,138,913,007,608,702,234,273,893,559,659,347,462,546,436,132,732,875,289,
372,340,405,586,966,382,528,170,443,047,072,724,892,069,381,930,258,240,013,
719,058,921,735,628,853,280,978,430,132,954,311,991,405,538,823,549,412,666,
549,809,388,487,264,645,739,342,740,328,268,148,828,601,533,405,358,985,188,
470,879,205,159,912,531,651,204,405,331,932,781,432,446,927,442,413,207,873,
894,338,486,523,468,466,338,086,401,287,319,412,002,324,608,360,487,756,939,
791,547,802,498,288,065,612,847,602,484,450,019,505,268,523,268,405,246,163,
920,095,764,622,918,380,599,497,915,578,778,144,595,489,052,412,246,288,331,
830,465,205,109,888,393,257,418,723,234,571,227,119,034,019,194,664,438,149,
701,796,139,273,628,263,652,630,399,180,171,598,041,578,240,105,170,350,544,
327,258,285,483,682,016,268,485,537,614,013,859,417,073,102,519,211,539,137,
721,414,932,238,461,287,225,176,558,406,142,467,559,854,662,047,050,160,289,
574,978,651,950,064,804,360,614,826,522,597,488,305,618,072,717,378,167,029,
490,744,904,696,472,154,853,324,684,460,168,920,231,518,300,274,975,221,485,
061,905,430,650,337,527,706,195,700,944,780,656,610,358,286,988,592,377,983,
971,212,399,705,524,777,000,223,616,198,203,818,428,169,725,505,032,708,355,
409,688,661,749,098,021,658,049,018,893,716,374,747,764,800,109,723,218,983,
864,102,907,049,862,906,015,677,693,555,440,608,388,205,110,800,102,809,385,
448,495,392,433,210,775,888,703,930,739,278,885,002,558,126,951,714,706,237,
487,447,171,823,690,315,805,816,320,903,584,408,716,511,693,371,545,487,843,
662,682,953,562,398,249,699,715,313,333,710,986,185,839,670,285,689,027,040,
634,128,643,735,125,670,733,423,275,728,599,903,250,984,267,582,288,305,387,
831,925,674,505,350,296,718,962,081,928,989,714,336,816,125,113,912,722,125,
474,190,113,770,592,226,022,517,098,553,401,905,376,567,811,695,194,507,964,
067,855,268,524,227,569,019,013,575,413,504,926,549,628,498,403,150,073,815,
449,332,511,569,116,494,490,105,002,583,075,556,205,843,335,525,515,134,289,
568,228,377,368,306,849,672,780,698,842,940,583,615,005,724,490,047,289,759,
672,980,375,599,411,606,911,384,515,369,042,808,948,347,469,452,524,438,705,
035,998,601,714,996,805,083,636,233,818,842,581,700,977,960,449,561,134,758,
392,775,833,691,950,521,888,746,395,328,001,120,706,884,352,391,536,961,045,
325,751,541,920,490,223,732,482,578,159,416,944,464,988,912,441,114,040,183,
914,473,569,998,388,115,184,000,284,741,154,316,833,286,328,962,015,374,986,
262,955,896,037,896,238,443,091,995,840,859,435,561,242,540,184,897,464,128,
119,039,149,142,035,533,142,282,911,546,824,011,982,222,070,317,981,451,369,
363,071,455,152,436,101,617,397,090,301,625,028,762,790,544,773,252,877,480,
904,455,367,282,245,803,524,351,508,944,540,879,197,034,747,252,849,705,889,
270,654,871,611,574,064,895,316,561,760,344,447,707,077,423,652,833,646,650,
180,060,398,644,823,541,311,053,714,458,335,027,929,290,983,846,200,432,392,
061,962,552,313,040,907,047,517,776,497,328,106,531,371,834,276,775,725,505,
400,902,618,488,495,689,545,746,107,954,856,075,209,186,003,791,041,722,395,
283,459,026,461,903,311,709,457,646,842,969,713,992,674,921,271,263,116,267,
270,632,998,516,591,791,379,033,866,378,840,284,842,267,709,510,414,648,018,
723,900,750,644,536,388,946,015,244,324,594,246,280,162,784,947,698,671,845,
399,659,186,175,899,351,132,924,902,612,042,108,464,788,769,216,070,661,333,
243,612,851,670,226,474,801,391,383,368,238,639,241,286,593,882,639,969,965,
422,578,168,959,853,718,996,520,668,011,773,385,635,272,332,919,122,513,929,
844,335,081,242,610,833,605,174,510,102,706,457,276,181,092,353,848,632,326,
857,388,070,738,894,352,469,326,080,795,009,762,736,783,197,957,134,167,308,
637,158,583,358,955,777,286,932,627,642,093,996,085,439,859,120,025,685,129,
222,017,647,607,321,298,681,278,264,451,684,785,648,495,282,599,191,629,384,
443,026,578,943,777,189,030,349,539,634,487,457,234,251,536,004,252,808,599,
003,591,187,216,324,783,900,904,945,826,856,460,323,271,514,086,457,884,968,
154,089,824,369,329,333,044,817,898,416,691,937,952,818,461,109,370,737,745,
634,243,363,406,630,312,343,617,773,989,259,336,082,299,672,066,859,361,408,
943,899,070,835,630,837,026,692,466,245,534,129,505,212,684,415,149,252,310,
373,211,503,943,637,882,174,179,492,920,385,441,593,406,459,275,054,740,298,
981,033,041,671,761,229,789,502,434,914,384,541,399,219,713,392,371,075,792,
324,109,793,150,850,220,828,880,023,294,308,814,040,402,413,547,898,831,108,
267,053,767,503,123,036,662,815,038,073,466,777,561,380,817,190,639,858,885,
292,175,879,823,319,402,301,325,370,990,180,746,447,373,544,664,691,978,210,
855,858,161,972,968,363,827,548,939,609,131,207,253,827,692,255,664,975,163,
595,141,733,818,858,684,614,665,078,946,457,813,907,306,978,198,641,939,545,
289,085,535,939,405,677,699,844,129,487,398,891,137,568,444,969,913,264,131,
498,155,255,784,456,120,006,887,481,098,464,424,864,603,330,196,307,076,380,
975,855,932,754,840,064,073,864,388,612,012,643,248,921,316,169,159,397,339,
465,632,444,214,726,169,526,852,784,299,874,488,566,440,917,725,001,817,180,
854,462,787,731,530,501,204,560,529,359,581,608,183,035,477,275,928,155,701,
703,110,019,074,214,353,360,005,375,454,834,813,835,782,067,889,817,387,590,
803,683,362,881,880,845,936,263,581,847,989,375,153,023,464,923,411,936,396,
297,314,405,848,751,919,908,554,910,135,873,935,877,276,917,717,500,411,148,
400,219,912,276,029,009,390,556,170,123,357,310,740,483,992,202,889,826,220,
668,174,072,115,978,401,158,561,612,668,684,078,433,269,531,125,614,748,174,
096,673,657,858,943,356,559,826,964,237,606,727,645,638,913,263,644,080,290,
033,266,747,333,093,667,208,505,694,154,639,353,022,998,678,874,732,614,790,
974,690,200,342,357,915,404,195,035,707,667,336,020,449,720,429,313,011,751,
372,800,475,011,528,842,042,835,323,595,037,069,859,024,176,180,701,746,419,
344,162,800,869,982,359,447,582,251,484,396,057,745,129,998,012,482,271,471,
199,897,294,794,185,011,282,317,573,289,607,427,423,586,254,693,154,180,807,
752,392,538,349,234,975,398,693,616,390,125,497,210,945,561,494,144,943,977,
466,240,359,729,467,486,338,277,829,935,042,340,438,592,284,544,640,227,383,
275,555,674,597,579,139,648,514,781,737,494,072,060,981,287,353,410,024,766,
750,372,250,843,633,008,352,328,709,755,176,580,752,729,438,006,305,272,307,
896,148,022,912,878,565,118,606,176,225,163,047,350,177,367,794,951,155,845,
049,272,449,075,706,814,374,822,980,385,197,038,882,870,693,468,211,014,369,
903,015,229,298,474,551,104,128,798,154,206,067,714,267,449,094,097,307,517,
061,563,504,938,638,001,830,167,732,890,559,238,294,673,168,826,167,374,557,
151,793,126,932,606,565,310,786,724,545,776,897,394,260,607,393,416,081,548,
325,530,369,160,298,336,271,207,101,034,239,986,224,057,563,825,960,261,048,
296,650,382,453,760,549,989,619,970,877,660,619,035,901,475,620,321,334,074,
811,421,662,789,931,514,746,567,599,711,604,043,372,494,675,697,427,939,791,
149,647,136,210,508,395,235,486,927,690,442,890,508,968,822,792,151,798,835,
870,751,834,874,964,849,932,178,356,626,301,782,071,428,550,175,083,293,211,
091,931,408,819,152,806,036,231,221,958,728,184,748,704,390,654,951,645,829,
140,854,298,980,858,476,669,090,991,835,558,521,101,959,691,183,384,784,726,
405,475,948,801,652,822,003,384,041,830,471,698,772,362,551,740,146,950,069,
430,653,964,810,274,386,488,699,242,937,609,743,627,966,852,935,493,240,866,
425,597,409,829,373,382,839,171,959,629,408,294,415,397,215,961,459,044,571,
676,402,384,954,004,854,193,693,499,131,844,978,013,351,880,561,448,311,767,
963,295,203,061,807,624,935,234,182,026,473,045,557,534,092,120,037,587,986,
159,023,455,525,843,819,815,563,531,823,755,042,378,674,494,213,672,173,375,
117,765,043,767,415,302,839,189,279,632,923,949,531,533,022,439,337,505,284,
188,607,237,018,929,909,384,855,060,688,468,349,678,014,865,961,095,248,316,
478,029,340,014,503,226,520,870,973,474,636,983,639,424,334,884,802,603,726,
481,777,561,311,972,224,282,246,048,841,768,604,519,046,661,809,541,330,524,
574,439,732,608,905,732,966,117,149,112,590,343,211,899,268,112,409,091,717,
055,997,222,119,188,963,858,318,653,627,818,703,322,452,408,348,632,487,739,
739,697,007,724,074,005,291,021,911,440,554,528,101,757,822,474,291,611,387,
521,436,201,490,306,043,295,273,333,211,218,973,386,488,082,079,541,426,085,
978,047,775,489,012,248,208,117,084,170,627,722,821,795,511,267,424,771,213,
095,310,198,225,423,596,080,083,962,712,528,900,034,868,534,467,181,537,447,
878,797,277,147,568,265,110,651,049,839,586,274,688,161,570,732,962,296,053,
840,576,965,239,249,993,296,459,796,812,221,460,612,078,062,160,889,394,844,
315,344,879,365,548,645,483,251,965,890,593,344,596,727,839,327,388,631,762,
042,661,952,896,266,293,155,119,798,095,259,885,583,846,332,226,474,690,587,
417,636,307,548,177,323,003,190,595,599,057,784,940,426,617,509,400,022,408,
668,320,844,919,306,121,678,187,121,230,723,726,295,673,129,151,284,836,188,
406,786,814,892,907,955,720,959,109,579,591,230,906,118,817,987,673,846,377,
719,640,635,855,970,200,979,486,873,335,874,301,394,604,790,561,058,077,477,
746,543,316,952,796,994,269,248,735,444,116,396,928,198,831,107,789,080,064,
044,522,811,912,815,214,589,488,677,572,243,680,899,867,348,574,736,096,524,
904,495,872,951,423,611,283,022,057,500,514,205,358,613,641,140,128,626,997,
855,370,306,172,552,782,815,009,589,081,964,804,529,162,487,508,441,630,640,
129,042,157,354,542,713,677,485,322,594,327,914,105,378,100,353,669,213,881,
169,672,957,701,397,733,934,064,507,242,389,767,260,931,003,997,569,694,678,
351,548,198,962,786,509,957,822,129,613,012,704,709,134,427,251,095,072,989,
862,698,001,880,413,943,035,577,003,004,657,976,414,139,960,270,513,747,671,
598,832,865,393,575,474,199,907,397,359,655,115,294,441,604,819,305,807,020,
649,170,399,088,774,484,779,809,320,300,541,270,361,998,261,287,695,013,785,
055,691,173,246,311,570,437,899,168,450,637,583,513,376,769,031,832,937,511,
204,265,929,475,240,791,034,142,201,145,493,723,160,355,668,814,565,765,729,
913,351,428,610,224,838,087,967,375,597,658,823,018,042,035,579,656,592,570,
189,366,854,463,324,785,049,759,040,745,891,201,576,384,754,936,599,264,545,
448,883,744,139,443,778,456,815,690,699,903,460,985,825,872,447,596,151,031,
351,860,444,344,102,697,650,051,741,220,155,763,315,028,115,226,617,493,899,
586,669,384,996,495,451,901,516,419,745,448,564,581,142,853,044,049,382,005,
907,540,053,453,671,235,866,629,287,499,715,807,933,672,281,584,670,527,900,
263,942,975,881,576,194,136,869,477,953,475,329,580,395,495,838,751,249,705,
914,629,791,818,382,743,979,227,475,119,051,452,932,557,327,604,529,657,797,
353,764,787,650,949,570,159,374,544,516,090,114,842,699,305,866,015,893,320,
274,352,787,973,569,473,534,208,658,062,825,462,259,713,029,688,027,366,014,
621,289,913,994,026,690,088,842,764,219,081,267,950,060,036,375,607,745,281,
681,894,974,185,482,797,610,526,353,804,969,299,764,327,234,766,608,706,292,
827,251,503,803,510,343,624,667,285,644,573,403,017,278,014,482,816,681,973,
862,761,851,921,331,560,755,349,691,349,283,042,622,417,850,755,731,549,090,
379,573,140,300,044,003,482,643,945,354,425,070,422,232,743,114,637,093,310,
613,176,139,773,836,112,209,228,884,071,756,818,830,097,111,204,771,530,024,
077,765,131,376,144,334,825,736,708,573,250,252,080,679,516,419,040,218,555,
279,134,245,939,364,898,370,536,973,837,303,798,071,945,740,047,158,462,752,
972,338,273,853,287,918,338,731,023,626,638,939,760,730,478,239,773,050,251,
116,759,887,617,574,165,483,360,811,750,096,395,206,117,287,982,728,436,178,
905,968,751,960,523,533,747,623,297,817,058,620,025,978,480,381,816,103,149,
873,853,688,728,306,216,881,504,215,126,254,780,402,392,142,207,940,315,563,
620,368,832,513,469,456,974,372,283,839,000,618,894,913,696,680,568,532,993,
345,913,458,402,695,119,667,986,286,312,843,285,201,945,197,805,390,900,513,
300,221,651,534,460,736,437,316,931,983,144,454,436,505,610,978,274,401,431,
928,018,532,054,507,364,103,519,324,304,315,257,745,167,276,708,881,171,789,
331,700,287,093,702,064,387,607,169,037,639,884,274,004,429,138,455,863,520,
415,860,857,086,300,446,482,831,006,316,519,326,018,116,573,418,703,848,306,
197,111,693,065,231,430,865,152,910,000,203,497,754,652,786,944,920,424,900,
872,147,227,908,344,684,190,106,395,996,261,499,076,684,343,073,315,169,790,
247,844,454,742,030,390,016,419,889,223,464,172,521,078,767,264,031,657,092,
886,976,984,966,844,767,068,161,583,764,984,532,284,087,639,757,267,065,767,
635,010,903,325,717,697,987,992,396,369,106,486,229,241,874,017,952,557,285,
991,688,501,992,819,878,471,382,930,431,955,964,772,820,508,706,088,518,422,
908,223,675,630,109,873,503,416,983,665,830,769,823,093,982,105,145,180,578,
306,566,004,946,874,774,481,712,274,357,131,574,517,857,831,512,096,503,059,
229,592,077,211,970,650,934,259,929,477,021,299,264,171,592,237,846,794,412,
778,430,481,881,040,317,573,645,386,172,336,038,408,656,626,962,081,007,270,
614,372,020,712,012,598,774,448,843,806,994,093,586,734,944,773,591,671,433,
893,332,937,543,416,076,961,795,505,675,715,098,714,076,882,832,668,259,978,
905,117,132,921,998,951,921,523,871,127,077,914,020,512,861,710,663,926,541,
444,717,831,565,193,391,648,909,726,583,333,218,894,118,962,223,444,225,914,
882,383,661,661,183,034,931,415,129,976,358,890,071,075,142,660,092,947,640,
275,745,288,645,183,671,813,735,314,619,153,541,008,044,057,957,868,160,975,
695,246,604,014,521,588,129,630,079,838,816,739,740,698,713,815,615,481,419,
885,029,216,789,181,131,263,219,420,254,396,632,048,013,298,294,074,121,429,
054,678,042,646,459,013,062,157,947,825,738,178,511,427,267,101,295,418,683,
941,539,830,425,562,683,549,457,859,389,605,640,989,008,835,698,283,982,252,
681,226,049,490,808,104,344,990,038,173,542,921,897,083,941,905,015,867,943,
830,759,100,367,446,033,145,370,425,307,217,090,452,538,979,882,770,297,977,
350,770,642,462,131,455,549,369,884,811,817,803,528,647,587,587,423,957,455,
509,005,473,347,046,001,421,300,534,168,389,333,213,721,744,209,504,507,780,
523,111,022,409,856,164,556,898,584,115,198,482,742,535,648,744,924,118,347,
197,062,364,957,181,601,565,838,058,430,514,680,062,636,375,902,486,426,090,
037,052,932,318,981,241,746,391,345,967,769,783,043,456,033,426,934,853,390,
521,341,090,426,258,775,731,165,413,150,251,056,098,306,160,792,699,308,347,
699,680,312,876,398,428,632,225,611,421,471,942,385,824,770,709,864,487,469,
045,241,524,977,850,291,311,615,089,124,984,503,183,103,993,901,558,903,487,
964,611,644,453,976,454,407,411,285,726,171,588,929,284,316,741,057,482,233,
272,310,285,461,867,638,358,076,479,330,632,104,724,539,844,002,579,053,916,
285,743,985,585,217,334,939,877,874,573,743,023,059,440,111,529,776,689,490,
435,308,627,396,867,876,528,056,555,736,295,406,991,378,589,744,169,571,309,
400,746,737,632,341,689,289,370,870,218,040,899,862,443,316,747,409,952,827,
217,339,262,539,738,737,813,435,667,971,814,988,107,529,747,469,433,435,551,
606,229,838,266,634,059,298,240,277,836,454,965,140,920,658,816,809,487,221,
651,604,670,313,757,899,578,708,889,755,636,108,954,572,415,808,193,699,887,
889,558,996,378,475,045,876,816,775,230,959,164,999,709,474,998,049,992,132,
209,895,479,396,709,268,582,022,911,160,058,480,974,794,418,462,192,867,791,
506,330,511,834,636,743,484,996,837,491,971,983,830,237,248,944,932,770,526,
881,816,514,824,555,516,802,640,592,770,973,312,016,917,987,401,365,905,217,
423,312,453,072,520,178,857,514,606,112,233,709,800,813,332,705,301,554,227,
040,897,500,703,499,845,841,219,314,454,622,940,752,603,764,874,274,203,385,
993,563,768,258,941,754,858,986,387,194,626,865,764,429,771,317,928,722,655,
894,892,268,950,106,457,148,007,418,745,404,026,622,754,333,392,977,968,472,
752,917,390,611,526,023,227,535,748,259,842,430,295,242,019,891,346,632,530,
060,313,253,122,874,010,596,223,034,156,282,773,895,654,883,105,010,873,980,
212,676,004,864,642,528,073,234,813,012,225,413,522,437,362,207,933,452,311,
665,401,269,889,279,963,593,235,023,256,928,239,438,131,584,077,195,118,512,
106,768,683,995,913,956,951,191,969,465,552,554,625,315,770,120,178,562,859,
224,560,388,303,468,947,375,685,996,310,167,369,893,668,914,412,586,541,498,
899,888,592,681,727,110,442,643,005,482,356,141,156,480,647,127,893,553,493,
780,995,676,587,958,293,807,090,997,437,953,637,391,805,160,967,451,038,794,
031,685,976,540,047,608,607,408,147,238,711,802,975,655,618,512,895,242,299,
900,669,392,188,241,023,242,994,964,175,795,318,809,944,100,587,172,970,221,
692,657,280,057,707,656,579,398,435,205,505,017,498,682,230,534,508,720,177,
720,678,236,134,281,849,754,975,353,364,359,075,855,109,452,317,265,545,105,
881,659,103,898,956,341,876,208,522,637,355,098,122,429,841,410,179,023,530,
844,219,238,530,416,682,724,229,385,092,592,121,500,505,275,613,955,799,386,
274,383,380,018,589,720,398,188,495,688,279,109,849,148,225,322,838,454,910,
609,181,312,925,578,391,111,872,036,707,430,964,236,996,970,299,076,836,900,
778,056,900,798,461,432,068,592,885,560,235,537,578,074,313,000,426,574,921,
858,669,809,089,429,101,118,251,091,167,195,345,695,333,407,513,151,470,048,
518,103,968,313,262,154,436,686,444,479,549,769,365,024,272,893,449,828,367,
505,821,963,864,336,806,120,400,946,510,084,007,376,007,813,020,436,374,556,
279,512,563,106,407,757,442,412,065,826,026,465,618,168,814,836,760,523,485,
224,579,963,341,226,950,386,961,761,211,668,122,470,171,466,357,566,254,065,
324,008,215,424,397,956,361,798,727,991,946,908,015,799,531,765,046,428,641,
933,716,358,342,992,072,120,448,379,173,701,876,596,538,336,793,683,760,592,
174,491,892,348,224,202,981,892,290,626,036,237,702,651,196,121,476,198,199,
245,482,453,892,959,716,384,859,350,390,150,759,532,070,018,331,743,759,293,
153,566,759,155,906,524,611,122,878,618,311,625,441,634,767,532,497,946,681,
837,119,750,310,725,413,992,240,899,549,947,223,849,718,794,032,471,823,086,
979,397,274,299,643,597,838,692,084,188,033,013,383,391,521,878,370,623,739,
343,718,042,538,862,356,966,030,142,188,777,858,847,465,589,135,443,289,040,
336,622,444,653,439,653,725,386,876,816,228,869,873,235,979,223,370,158,384,
155,093,389,514,213,120,240,778,433,552,774,635,899,983,701,309,828,310,783,
534,306,212,171,491,652,451,846,805,044,417,431,455,949,365,720,690,685,394,
296,839,395,953,655,526,209,340,810,709,395,517,546,068,881,603,590,164,349,
832,029,029,865,010,616,578,695,982,080,180,404,159,621,622,337,700,440,463,
336,405,719,187,583,183,368,122,499,869,470,153,725,220,311,342,236,138,061,
611,220,864,652,295,514,176,149,045,795,245,003,715,818,368,272,900,603,870,
447,793,031,604,210,339,980,187,689,258,855,469,397,428,684,123,434,226,264,
792,053,424,556,480,337,983,535,329,835,763,360,844,693,501,227,380,972,394,
650,655,050,745,041,775,216,711,735,800,386,240,448,782,481,547,079,313,131,
935,073,437,295,483,988,925,939,807,903,816,024,924,432,218,090,454,502,011,
417,782,554,345,119,350,359,695,101,513,703,328,067,649,451,146,798,395,506,
185,701,753,392,699,606,223,430,424,518,653,539,245,961,556,793,110,364,440,
371,981,186,042,251,755,504,301,713,872,843,445,493,598,418,833,530,004,039,
405,450,947,902,352,753,814,069,778,926,769,401,103,492,805,855,274,737,333,
842,783,440,235,149,384,361,123,904,953,308,523,880,475,800,912,784,014,435,
302,082,049,576,968,781,556,927,364,292,457,909,427,904,589,718,288,708,852,
168,609,414,082,235,192,495,940,685,849,828,607,584,117,513,064,189,763,992,
340,881,632,485,904,620,381,308,330,224,598,027,184,152,609,025,116,875,423,
731,304,280,585,572,476,978,969,681,143,712,307,177,134,645,052,879,716,716,
044,318,295,789,502,570,238,822,554,234,651,641,672,374,989,322,821,495,447,
032,985,142,186,386,909,163,728,919,339,901,000,166,670,545,383,313,518,083,
613,870,429,403,702,629,582,430,393,757,597,000,368,544,557,207,761,371,981,
458,056,214,612,703,978,607,335,610,375,925,907,930,871,607,452,669,006,312,
916,574,652,577,499,452,763,213,992,833,335,407,533,896,002,419,628,196,820,
763,826,877,887,783,701,688,474,280,985,742,079,251,004,950,621,907,663,775,
647,284,872,927,640,169,403,044,919,054,845,912,669,404,318,278,522,262,745,
132,123,287,432,795,061,973,172,884,041,873,662,727,389,760,131,380,966,707,
060,825,819,834,787,764,874,299,710,107,279,160,305,625,981,225,961,439,278,
381,333,379,719,664,512,487,889,061,226,339,383,761,716,733,204,463,401,669,
236,131,153,437,494,492,210,529,455,920,136,751,111,205,430,506,673,243,372,
181,329,674,892,754,376,115,041,074,712,817,074,633,226,631,132,178,013,724,
759,928,817,857,149,031,580,673,233,779,802,189,794,231,421,693,233,533,923,
246,383,828,092,336,532,526,434,644,196,914,032,464,476,848,044,688,840,403,
386,193,469,089,363,003,857,441,589,398,433,110,291,790,640,551,784,825,778,
438,143,833,114,777,054,959,676,472,070,217,229,997,058,861,712,667,786,448,
302,332,698,271,204,834,442,242,988,293,383,612,800,632,064,018,051,579,403,
204,794,646,870,079,530,787,413,694,629,650,070,619,001,300,721,145,725,115,
072,051,746,835,365,576,713,534,366,918,767,800,027,946,052,853,676,781,298,
045,195,090,013,697,109,346,979,973,112,566,973,543,109,676,410,083,432,605,
876,897,607,089,214,145,836,056,754,781,621,177,890,900,824,627,440,354,361,
260,076,800,551,567,589,366,450,772,133,128,279,546,871,619,852,771,329,679,
774,658,529,822,807,317,706,767,382,785,883,071,716,719,082,710,094,672,656,
585,264,406,448,873,661,888,824,618,832,780,475,278,132,812,698,771,076,298,
687,060,108,996,007,472,922,550,992,877,718,673,157,874,577,750,706,397,402,
345,170,914,188,064,699,659,282,106,353,493,479,133,308,250,848,625,379,533,
087,057,524,549,517,250,778,011,498,835,486,411,074,689,672,150,547,984,171,
200,429,051,191,206,851,353,778,539,538,568,402,758,582,090,382,115,023,924,
489,232,906,864,137,298,319,595,469,752,694,194,763,744,627,639,062,199,931,
883,387,411,954,900,215,798,072,324,995,162,150,305,457,603,230,263,375,655,
795,074,763,548,871,776,866,808,096,023,255,874,125,455,146,602,038,108,334,
968,375,737,275,760,490,114,403,643,097,874,477,780,742,416,088,552,239,979,
136,126,101,945,629,967,002,575,290,244,739,827,360,919,744,897,068,547,082,
323,486,392,241,646,122,853,659,519,287,649,649,161,130,416,064,697,896,709,
601,060,799,049,316,158,325,603,192,371,401,923,881,226,072,134,900,792,477,
082,287,237,262,058,833,273,357,737,767,629,637,754,259,371,965,496,840,009,
632,052,194,573,098,068,135,188,293,015,537,580,011,974,248,758,172,388,729,
145,748,939,178,293,669,432,024,907,007,707,589,264,273,246,679,045,168,491,
038,982,360,610,856,649,300,493,444,980,716,476,080,712,052,233,971,629,173,
315,295,294,955,300,347,758,674,302,849,679,315,017,605,179,427,468,931,481,
521,496,792,856,037,623,978,208,353,705,090,818,826,861,779,955,015,242,776,
349,919,079,249,336,690,487,933,480,574,704,053,211,671,409,892,600,861,822,
914,159,739,787,347,404,430,639,414,679,165,384,888,079,417,230,123,100,037,
160,499,048,906,474,948,334,976,844,133,091,531,603,092,602,262,070,838,229,
177,638,138,476,712,106,241,917,379,124,447,596,220,210,045,129,665,225,401,
532,787,042,172,715,677,970,211,221,113,244,480,077,955,123,893,268,382,631,
800,497,638,806,483,513,646,600,254,777,177,378,994,940,096,517,838,946,816,
280,299,985,730,764,528,262,328,368,509,611,256,902,825,020,932,588,693,689,
281,789,345,812,288,566,755,670,387,167,157,010,364,621,356,672,012,593,685,
331,098,201,792,040,710,319,159,117,506,650,037,007,227,717,358,644,273,967,
342,483,999,490,200,136,839,390,237,584,299,367,997,342,281,848,388,104,771,
357,145,568,329,769,588,830,360,205,526,230,715,756,983,946,807,581,038,902,
224,143,791,223,267,715,991,049,286,049,230,183,551,313,982,181,872,547,849,
356,866,163,848,746,078,431,813,011,497,211,272,672,659,758,755,466,885,043,
150,925,028,076,118,411,404,805,501,620,422,909,768,117,504,950,265,955,772,
124,989,902,231,907,262,782,205,625,408,073,967,807,395,277,869,644,181,287,
187,661,830,664,290,276,095,600,329,445,453,823,869,258,965,792,874,301,663,
404,057,288,261,061,559,081,158,572,970,655,600,231,470,278,162,121,036,511,
371,879,000,883,238,939,089,913,738,781,058,017,030,830,522,568,628,829,049,
846,041,250,780,332,350,474,432,734,744,349,973,917,162,655,082,633,676,474,
559,285,742,518,948,942,578,797,079,674,282,253,796,254,567,965,404,628,762,
564,597,160,323,477,400,156,389,691,007,095,831,322,864,825,309,574,275,003,
259,326,875,081,052,623,147,346,756,073,612,382,726,011,917,176,183,801,635,
896,046,355,662,033,104,783,376,888,438,048,271,880,640,617,906,145,757,020,
145,937,982,786,152,719,207,893,310,816,124,421,702,899,131,622,821,232,900,
905,639,264,005,171,039,698,690,133,462,995,357,829,982,976,187,680,898,131,
252,622,075,398,824,081,677,064,828,160,969,100,577,189,335,843,458,388,305,
912,573,260,600,346,416,419,664,995,205,277,845,229,959,152,027,268,901,423,
769,473,037,934,457,348,774,375,230,392,010,296,712,954,252,201,491,137,742,
932,315,675,807,390,109,110,509,080,814,896,859,172,970,346,032,523,934,389,
912,456,897,084,766,493,047,143,577,785,247,797,170,904,638,390,529,632,152,
533,607,775,243,667,506,339,655,987,813,184,555,598,515,310,531,482,679,883,
973,428,307,325,995,439,641,055,761,655,200,281,671,598,314,524,460,641,707,
855,243,949,686,711,416,286,851,280,499,123,246,288,041,452,982,984,360,404,
687,550,955,054,238,384,714,120,310,844,986,572,553,922,447,572,029,207,291,
277,159,723,003,338,505,700,666,792,295,139,869,002,646,399,392,126,563,913,
748,797,717,384,680,888,225,060,021,711,621,508,416,053,757,178,213,274,171,
775,573,601,352,596,038,668,605,742,488,052,014,903,538,646,527,335,582,557,
016,536,565,473,392,462,112,394,123,930,908,892,645,434,260,739,430,285,725,
079,602,145,004,180,374,890,674,000,613,928,619,683,431,562,925,005,525,785,
899,348,069,363,984,826,212,260,907,230,269,572,802,290,198,587,274,901,122,
908,494,409,962,169,623,747,146,889,885,515,579,385,232,793,430,111,866,499,
637,387,220,584,867,063,385,393,453,931,980,638,961,482,028,645,390,445,425,
821,910,371,143,253,069,238,145,722,024,238,871,008,330,981,865,264,342,541,
486,059,022,427,658,527,005,579,805,403,638,685,677,444,538,255,832,730,419,
807,214,760,831,607,247,116,443,181,516,599,405,924,419,758,081,769,361,239,
859,485,126,330,348,765,523,104,637,810,352,031,138,712,764,935,824,655,119,
348,677,760,324,672,554,543,145,026,940,628,868,662,313,505,722,144,789,152,
047,651,017,225,228,102,635,668,932,390,097,748,102,703,267,461,462,636,283,
559,020,634,665,836,568,409,543,288,022,937,496,606,737,824,192,105,933,342,
221,535,207,738,866,130,827,999,391,254,448,165,939,780,512,801,561,456,484,
890,910,885,810,805,118,143,615,893,646,648,562,356,605,565,490,335,195,594,
946,328,428,371,310,885,487,416,428,608,476,667,876,388,949,175,019,052,788,
454,511,691,750,988,416,213,321,497,240,193,952,779,427,306,243,236,302,462,
207,797,750,223,300,633,250,124,640,373,889,244,319,121,177,098,285,416,852,
015,799,189,122,100,436,419,078,017,223,296,185,143,605,211,860,768,647,006,
689,658,030,214,441,282,499,325,492,906,161,894,517,554,324,829,987,261,891,
589,857,578,401,383,817,507,368,021,560,773,284,628,339,905,533,611,743,037,
730,421,675,276,312,540,222,604,356,447,203,590,805,094,063,494,152,621,533,
156,712,049,265,183,821,510,950,193,897,028,094,624,777,795,147,824,279,532,
361,401,449,566,222,229,069,036,825,837,768,642,330,224,067,142,200,834,780,
668,365,910,585,899,556,920,155,636,271,179,071,325,962,817,597,498,876,429,
704,660,484,858,865,930,418,686,701,722,891,913,759,231,202,377,894,084,301,
861,590,656,232,031,444,945,533,663,431,621,463,457,300,327,465,065,543,405,
725,059,741,658,001,114,954,218,877,506,207,737,835,818,724,072,696,407,407,
139,660,968,135,600,957,993,328,435,032,827,128,967,478,684,543,113,668,363,
461,628,862,709,502,087,732,717,389,680,100,247,285,957,963,411,686,222,282,
999,647,301,945,376,915,304,375,373,677,578,290,210,420,785,872,616,743,566,
919,508,178,584,284,570,389,020,654,540,001,077,580,256,236,349,113,210,691,
262,230,761,382,882,558,259,860,320,120,669,839,700,802,120,227,917,557,987,
649,913,229,609,752,051,168,473,967,360,986,510,200,653,469,717,163,560,155,
613,188,936,815,277,220,208,918,803,354,653,029,461,221,869,317,271,594,474,
473,742,106,872,598,771,879,664,819,785,594,101,798,334,758,875,924,099,199,
768,500,675,798,972,674,155,530,405,183,073,431,046,966,632,162,769,100,660,
276,036,709,224,614,245,629,147,096,936,268,405,392,609,570,031,329,038,770,
970,753,256,862,698,319,370,856,545,240,629,688,743,596,105,336,970,296,332,
013,217,625,266,214,497,008,024,938,631,041,308,074,076,398,362,416,871,147,
663,022,956,182,240,074,000,560,602,513,208,729,908,437,825,612,529,652,662,
866,194,030,124,913,074,460,419,645,417,965,971,855,356,982,847,950,265,452,
162,551,436,129,594,591,872,561,351,052,234,853,666,924,121,172,962,521,351,
716,391,368,026,090,780,007,849,791,773,591,760,738,100,668,090,006,354,454,
265,713,734,574,084,072,268,511,164,087,658,095,758,992,562,803,077,097,278,
237,911,636,500,777,029,444,397,038,431,915,687,666,052,051,178,242,991,389,
853,872,280,735,186,051,724,332,679,961,073,360,772,607,937,474,333,503,660,
755,438,282,452,793,889,190,566,458,020,113,751,955,242,962,477,779,400,344,
233,589,577,205,909,068,955,904,605,234,693,585,966,360,213,746,368,147,253,
109,609,896,108,345,147,531,328,480,057,140,557,722,719,605,043,470,989,673,
984,882,921,947,970,793,193,894,017,646,167,583,833,688,735,949,084,894,801,
114,749,710,357,622,441,886,815,204,865,427,749,192,577,698,753,513,254,842,
220,349,055,332,054,042,780,770,100,168,748,019,685,962,752,351,312,085,298,
507,069,696,461,397,838,407,408,335,530,223,282,291,944,539,709,265,455,887,
077,024,766,296,434,028,011,995,134,724,870,719,047,238,869,755,459,319,633,
876,379,328,025,493,466,245,221,342,979,052,556,479,477,745,455,003,619,769,
769,223,490,746,503,221,847,052,366,711,303,476,114,468,885,303,438,142,263,
617,939,648,254,391,056,414,608,245,195,878,882,100,843,664,168,365,084,765,
108,814,753,863,390,393,893,249,972,913,666,091,331,755,814,414,224,842,578,
303,090,505,060,878,206,900,770,530,846,579,399,467,970,666,208,181,745,596,
428,646,712,836,235,223,119,472,422,821,394,796,127,552,385,773,566,467,048,
872,697,486,636,380,500,934,886,415,092,340,717,884,028,447,865,263,104,590,
693,322,804,319,725,887,140,244,631,757,303,739,566,974,643,709,708,555,944,
600,992,724,817,744,826,002,112,313,324,899,483,894,820,691,560,198,514,264,
548,988,393,923,329,864,630,651,608,707,285,940,924,899,878,035,466,804,763,
604,654,806,117,493,484,389,056,651,375,049,979,995,585,561,617,689,389,867,
727,185,300,540,490,225,226,968,210,717,708,948,285,140,233,122,160,758,790,
263,656,842,298,119,451,217,112,431,176,635,906,536,585,707,132,748,404,172,
217,199,436,016,024,007,836,478,410,418,665,879,565,940,450,164,840,881,096,
909,901,184,245,400,753,358,669,089,114,303,085,370,998,481,969,493,302,083,
491,741,700,630,104,160,528,117,231,073,535,782,363,804,940,427,551,440,685,
919,501,914,033,602,364,627,616,658,993,967,027,159,691,919,648,567,736,577,
073,038,744,858,662,896,285,016,418,137,543,407,891,234,151,474,078,375,722,
648,693,287,374,602,779,771,455,741,263,922,292,760,543,821,326,747,741,540,
052,271,164,117,883,454,688,372,436,136,838,484,064,259,645,665,277,865,579,
334,798,498,208,122,567,062,056,361,201,612,551,520,421,984,836,697,337,113,
767,229,837,307,415,970,686,378,986,094,222,789,992,395,365,289,927,914,316,
676,904,419,698,646,341,153,367,831,868,085,176,928,914,469,425,958,737,449,
887,776,954,284,398,087,291,497,683,995,457,293,615,514,889,769,327,928,818,
063,743,148,155,535,949,579,412,559,881,038,960,325,977,171,043,651,568,217,
657,702,829,707,187,705,048,455,626,699,269,584,752,086,129,400,788,171,274,
462,092,306,537,453,773,139,532,259,776,366,031,780,630,290,672,073,234,871,
475,399,587,090,844,480,277,742,201,523,380,417,148,983,852,422,561,380,356,
403,875,520,294,376,905,529,691,364,943,289,654,311,619,348,614,638,633,859,
345,479,785,699,690,264,680,868,756,780,381,947,088,701,406,304,096,546,005,
244,271,760,474,089,339,357,932,144,709,957,312,198,331,331,494,114,035,025,
799,512,504,519,189,833,641,138,849,578,746,849,850,862,657,951,195,018,505,
089,072,581,688,155,368,740,218,108,102,988,657,866,311,871,770,847,347,083,
578,296,594,425,312,477,056,166,910,324,730,820,921,583,032,198,276,309,080,
320,734,015,296,159,708,545,922,324,469,306,001,447,661,487,878,948,223,814,
161,972,843,568,068,175,417,545,361,275,510,260,375,428,725,910,144,052,529,
481,668,977,695,720,928,866,501,051,370,948,875,537,377,547,494,758,984,693,
546,947,003,367,343,673,882,083,113,573,702,736,635,057,599,908,329,750,731,
223,751,344,233,797,385,179,895,953,012,604,446,837,047,239,693,668,425,134,
375,006,672,453,372,300,393,581,565,280,045,985,772,027,232,027,385,440,341,
597,208,991,929,553,339,607,513,384,201,752,743,819,470,018,872,318,615,961,
214,359,513,916,933,230,071,035,780,926,147,807,782,897,984,205,808,330,465,
661,605,922,513,015,201,964,880,104,137,056,456,133,944,241,654,996,320,183,
888,164,321,677,642,893,608,594,493,906,360,019,595,123,304,992,627,432,891,
269,382,675,049,135,615,337,359,841,971,845,080,076,342,608,484,600,334,730,
081,268,788,088,262,837,344,747,643,741,454,664,624,178,448,359,270,267,783,
116,930,174,737,010,637,915,500,975,254,932,828,249,841,421,315,323,466,239,
377,416,526,339,456,680,182,882,498,040,626,677,980,541,551,684,724,308,606,
996,449,756,294,335,162,536,532,343,417,858,843,875,878,729,828,790,893,418,
473,223,608,077,403,799,873,017,062,473,809,570,517,604,244,241,118,661,726,
156,455,126,877,175,299,837,100,411,290,971,540,341,788,977,077,405,933,109,
364,641,897,730,043,409,172,813,595,982,755,850,782,993,695,464,712,133,440,
986,719,786,873,929,676,312,697,681,089,320,625,785,718,276,404,737,262,022,
305,229,750,704,274,849,409,175,172,814,905,743,108,532,411,461,154,768,057,
973,905,530,147,594,380,848,958,357,576,295,683,383,016,485,534,534,846,896,
716,677,547,201,610,879,402,748,756,338,650,870,949,453,943,874,179,215,010,
886,343,373,401,903,062,713,811,878,863,308,351,964,137,611,421,108,208,630,
504,427,084,518,415,898,002,216,353,334,117,762,369,379,755,776,860,074,407,
882,955,128,801,045,548,254,514,988,882,105,399,593,333,558,999,122,935,244,
807,585,236,327,593,955,490,826,572,313,636,240,540,336,704,543,427,669,325,
379,373,678,829,857,628,101,678,088,895,442,374,185,590,275,596,461,833,732,
067,606,899,319,891,703,995,606,244,653,933,663,704,051,881,474,686,669,719,
214,828,050,419,824,318,831,965,060,580,620,169,796,929,511,919,674,724,198,
378,320,090,262,836,806,182,662,146,185,289,952,514,367,329,857,726,660,512,
670,405,224,820,922,213,224,043,213,865,884,111,077,428,799,001,877,992,294,
235,408,976,894,167,295,389,561,178,476,060,722,323,281,142,022,232,273,248,
189,422,377,700,197,273,199,518,537,195,064,494,160,546,871,873,064,320,170,
881,296,322,203,957,060,409,425,753,389,744,694,789,873,867,195,798,932,339,
517,418,449,416,504,505,911,707,853,634,459,360,853,941,893,979,410,610,033,
074,828,163,966,248,194,428,886,075,339,270,570,779,096,439,753,519,437,833,
691,381,710,058,117,834,558,168,228,783,409,369,675,114,209,981,729,330,785,
558,165,303,049,320,402,699,846,008,684,359,641,611,265,311,823,331,753,015,
354,229,818,001,060,023,986,246,674,951,284,690,162,490,551,300,447,249,503,
175,957,485,788,373,591,565,059,613,666,143,992,810,546,723,477,914,169,846,
883,276,231,394,456,883,395,688,056,969,956,631,357,443,537,141,740,819,706,
159,594,051,042,027,365,597,504,551,283,326,382,878,055,658,705,330,237,332,
489,686,943,940,932,012,556,617,322,974,454,917,769,090,626,216,218,714,459,
362,637,648,471,985,887,865,955,642,056,878,900,417,636,457,484,657,793,709,
229,988,833,761,022,500,985,354,825,521,592,902,345,804,260,285,837,802,863,
017,530,915,431,229,452,000,983,985,831,252,564,974,608,867,578,153,329,634,
022,436,564,452,696,408,810,104,815,466,703,529,455,844,051,129,404,266,829,
948,490,929,864,112,884,550,484,255,001,323,266,662,204,929,924,697,199,570,
606,118,077,992,588,059,656,880,248,427,536,200,894,221,605,094,137,646,715,
663,509,760,218,441,666,129,729,354,053,036,651,076,561,982,639,938,932,131,
037,653,067,505,889,795,542,575,554,860,025,741,482,913,849,587,461,792,912,
837,678,654,239,473,149,039,316,475,942,034,011,361,669,863,035,457,521,970,
341,906,906,946,084,458,093,418,659,827,700,845,658,284,044,365,000,801,027,
909,374,966,453,123,966,484,931,277,183,776,235,391,912,700,363,329,239,428,
554,666,010,855,968,348,214,950,125,192,663,157,940,634,196,836,518,716,546,
224,449,220,722,614,514,467,477,989,315,197,839,596,708,212,376,130,235,744,
299,511,341,476,279,700,185,656,370,080,065,583,511,801,371,995,985,885,897,
288,186,574,805,546,979,091,644,382,772,794,097,420,708,706,433,969,692,785,
198,366,497,000,496,685,969,667,456,235,965,565,128,772,860,177,883,206,459,
767,394,356,687,705,131,690,623,586,707,288,692,832,186,204,119,242,997,136,
868,097,182,467,440,376,970,466,070,637,761,891,870,381,732,608,588,051,651,
361,291,431,272,537,156,720,973,698,915,129,538,036,597,305,541,741,752,846,
095,515,406,363,437,758,554,045,911,625,683,773,879,090,592,562,348,389,125,
511,612,043,929,439,607,933,970,161,565,871,325,075,305,159,548,086,507,232,
068,648,010,307,198,061,100,286,127,778,140,502,232,261,441,363,023,302,657,
024,060,527,403,488,928,313,267,972,019,037,618,745,381,509,478,218,858,795,
963,141,676,944,417,185,049,583,544,907,357,919,073,497,071,428,532,586,908,
550,985,073,021,919,892,924,605,250,633,119,987,718,619,266,099,163,043,437,
615,697,172,886,782,055,621,913,766,857,585,849,260,317,770,455,024,608,352,
759,549,183,660,468,960,579,662,618,400,686,623,678,864,799,561,882,525,883,
694,107,430,904,512,361,579,824,899,916,688,533,495,508,542,984,854,827,784,
052,367,836,854,856,188,709,367,265,626,817,845,370,850,014,905,489,142,182,
697,877,222,744,984,017,139,318,518,197,932,620,719,979,143,572,393,283,847,
530,153,087,833,784,839,556,956,920,080,653,364,404,619,743,517,652,738,927,
537,621,778,742,907,681,135,542,588,291,569,485,582,760,398,956,761,374,806,
686,100,316,449,231,135,853,447,494,165,777,268,401,415,744,175,640,766,360,
969,132,324,625,425,591,594,030,691,188,298,650,296,749,736,329,240,712,792,
158,162,907,268,644,137,276,405,525,055,533,129,144,861,401,774,399,662,166,
977,459,488,758,914,008,672,318,691,089,603,821,587,115,197,899,425,779,573,
942,008,285,822,061,819,518,639,284,660,549,102,965,152,039,553,295,312,698,
268,919,141,546,234,948,412,808,091,323,089,155,962,861,420,474,187,080,976,
434,528,637,459,205,614,136,265,603,800,682,760,018,202,594,479,456,699,436,
004,016,304,860,386,218,256,247,798,252,437,100,303,706,708,411,868,800,971,
796,330,064,710,983,156,737,904,165,991,025,733,427,041,991,245,652,100,221,
828,378,087,492,294,325,836,284,894,744,449,198,188,023,757,996,074,520,704,
147,425,285,652,250,998,800,124,844,391,177,577,910,883,524,542,614,861,541,
809,219,170,317,340,804,213,211,909,229,593,220,520,256,512,120,130,812,996,
946,091,055,510,623,155,837,812,244,603,842,404,398,578,811,990,658,169,522,
938,552,635,156,065,184,352,238,254,392,346,199,292,552,368,426,330,559,051,
876,611,469,719,433,508,930,295,888,459,396,834,574,039,384,656,931,184,569,
282,479,201,418,151,483,704,828,737,538,506,833,076,263,751,464,676,542,817,
648,786,382,447,726,222,555,902,656,934,345,209,312,517,632,359,950,022,109,
549,555,066,332,022,276,450,103,969,238,587,907,275,087,822,733,179,686,760,
536,804,385,440,713,973,967,206,546,519,639,450,488,244,861,642,698,616,452,
417,799,606,751,002,129,150,097,028,721,813,631,634,601,026,392,536,937,086,
220,452,325,619,484,913,175,239,844,619,675,380,443,784,763,791,826,440,255,
864,987,400,660,309,179,869,243,809,831,071,727,203,721,257,462,868,419,245,
666,792,275,131,599,616,628,194,771,632,340,194,262,526,295,311,736,182,876,
077,478,867,061,933,353,569,684,292,794,088,816,658,422,346,101,758,918,765,
198,337,530,980,455,881,566,939,345,747,346,338,013,336,203,782,052,776,145,
092,507,789,240,371,155,688,513,487,454,023,742,173,493,526,963,688,852,344,
891,089,227,333,454,548,285,476,013,406,120,360,569,907,715,824,837,120,956,
169,312,986,189,609,413,852,175,700,891,504,548,576,235,039,387,810,772,404,
900,177,453,036,363,085,425,797,072,299,995,367,718,992,496,391,518,485,164,
680,169,809,320,664,382,408,008,767,862,383,721,850,221,673,379,652,071,406,
391,083,929,502,775,239,029,114,117,752,231,508,181,285,205,451,516,985,013,
862,615,705,106,557,572,922,154,424,269,708,575,339,809,903,822,162,317,851,
258,912,884,163,056,648,483,988,094,042,266,814,346,727,875,948,036,377,755,
373,745,619,226,932,252,607,258,028,526,968,225,510,295,950,845,925,145,858,
419,013,523,805,127,417,440,851,071,888,004,041,424,702,942,894,024,922,312,
866,687,496,638,772,245,236,720,007,180,108,383,724,414,320,253,951,194,864,
478,215,749,723,320,783,197,169,152,220,113,344,218,121,233,910,013,461,146,
894,586,744,634,208,631,512,010,206,952,519,718,565,053,623,244,347,684,820,
256,360,954,224,414,060,392,678,832,315,295,218,192,070,767,265,781,407,330,
353,723,511,472,055,832,724,872,078,301,313,788,468,992,233,985,358,260,085,
550,609,794,163,159,061,046,616,365,282,171,632,730,318,593,636,399,426,780,
645,546,624,246,266,617,884,075,649,616,656,192,363,519,133,908,680,032,817,
587,794,246,076,107,854,758,772,529,501,977,761,875,678,418,416,144,205,496,
111,935,562,162,229,166,388,952,475,788,281,899,633,741,243,094,576,841,632,
684,905,732,205,711,068,648,689,161,378,776,272,663,227,602,794,423,731,185,
522,190,038,308,490,252,670,984,068,960,589,059,018,305,428,442,277,690,343,
375,656,666,058,157,493,511,293,789,277,755,823,815,605,730,753,886,174,276,
797,760,524,228,153,709,768,476,760,535,978,245,150,253,761,338,970,697,847,
836,337,972,051,500,641,253,808,625,065,276,554,009,759,428,948,024,730,004,
980,518,678,352,407,353,060,945,487,811,053,797,862,195,470,397,322,044,712,
058,627,148,220,603,363,731,354,243,996,589,438,295,109,860,705,059,868,287,
790,396,163,479,799,577,949,772,442,113,484,388,507,209,525,331,553,856,628,
756,272,676,073,128,092,048,839,451,350,935,285,607,963,529,111,884,741,983,
088,279,610,665,798,806,868,599,496,547,645,933,851,971,736,244,263,485,483,
274,018,509,271,882,048,044,400,840,062,525,732,144,562,547,297,768,088,148,
319,026,935,140,222,160,144,908,851,211,451,954,048,537,421,705,570,312,492,
307,188,788,108,293,744,307,436,370,581,136,784,738,876,715,815,598,875,367,
789,889,463,454,563,089,983,410,099,013,721,037,329,673,803,956,699,891,088,
224,622,229,285,533,714,591,742,100,496,710,351,222,611,966,739,366,110,093,
472,729,707,366,536,481,487,911,182,027,730,305,454,066,241,054,146,809,614,
359,309,823,246,451,725,973,281,403,710,854,491,571,219,317,132,819,415,699,
892,176,656,989,584,029,062,733,670,865,554,205,348,444,812,783,583,206,007,
283,484,662,598,462,062,939,174,882,099,181,829,193,284,451,437,595,359,118,
030,304,952,404,989,540,618,133,925,716,427,064,871,745,049,521,904,088,164,
604,844,757,382,830,394,207,511,617,284,317,920,529,014,785,324,004,851,802,
325,318,825,454,575,577,703,707,941,757,016,105,994,712,374,194,277,828,570,
981,329,878,331,188,361,454,664,557,398,948,045,636,589,216,827,487,544,911,
757,520,748,472,290,055,914,879,467,334,953,796,919,112,101,554,799,764,092,
416,276,095,053,005,096,125,397,761,143,511,802,015,944,894,166,475,407,721,
116,311,481,586,592,324,227,076,727,942,226,545,018,550,258,539,621,266,213,
082,163,587,264,102,506,478,582,530,762,112,819,093,256,286,426,883,383,190,
254,261,943,963,508,464,158,185,402,991,500,509,310,123,373,466,430,958,357,
512,399,314,741,414,351,660,838,549,550,354,868,976,163,287,348,618,206,511,
024,009,170,619,812,141,376,551,330,363,757,339,386,440,036,889,204,207,451,
719,038,840,084,973,419,958,288,290,523,470,638,683,056,831,579,777,211,239,
061,610,821,374,497,800,103,239,982,873,356,440,495,353,488,691,127,484,445,
864,358,887,741,796,866,315,062,026,740,587,266,078,226,464,213,120,100,142,
933,531,449,358,765,134,506,143,825,882,722,268,354,391,992,797,449,408,759,
866,234,737,136,846,538,232,313,190,425,284,348,111,102,844,695,149,193,264,
875,053,431,007,677,719,572,631,980,129,267,994,706,976,677,554,870,288,912,
005,788,773,838,470,126,157,186,724,981,491,219,887,990,199,349,047,331,885,
286,928,911,857,652,110,826,328,469,981,274,993,424,682,632,107,732,671,598,
610,551,498,794,030,740,107,595,987,846,960,953,566,856,828,269,855,032,837,
900,742,813,459,896,303,382,306,991,834,024,586,295,160,375,991,832,180,842,
979,832,048,596,365,794,539,762,831,770,318,222,536,593,042,579,897,519,070,
842,539,181,707,813,257,465,504,895,486,368,441,765,427,417,350,776,236,800,
442,872,996,472,175,457,696,591,900,433,990,722,302,429,657,412,306,702,697,
910,894,228,846,808,922,157,336,249,587,199,901,177,967,154,107,990,251,138,
219,487,898,625,365,869,484,634,174,993,383,988,632,278,447,053,670,836,063,
469,478,260,091,620,174,973,437,768,100,874,455,905,464,676,384,714,581,485,
997,372,514,937,827,117,863,509,627,471,672,346,985,171,856,535,125,003,256,
811,092,406,034,657,191,999,063,248,639,210,832,330,452,654,505,663,463,230,
687,357,994,448,232,542,631,864,215,893,463,545,053,196,309,139,846,510,335,
669,573,600,715,281,115,789,066,097,445,132,393,914,802,320,442,245,529,699,
680,562,685,961,592,860,054,469,769,014,727,740,836,103,889,726,312,897,757,
735,945,603,487,729,845,943,970,835,273,271,530,368,897,525,287,465,102,409,
488,527,542,767,285,038,412,246,104,216,587,013,303,550,434,370,055,217,910,
163,047,738,853,253,791,417,087,019,283,850,721,505,805,000,533,271,200,799,
756,102,600,794,231,440,225,169,104,959,055,308,070,172,945,087,732,558,390,
959,476,195,463,080,499,674,971,034,750,915,621,402,334,921,481,019,519,668,
517,161,908,958,974,593,990,333,134,047,528,211,502,126,797,290,291,999,807,
115,399,118,347,353,408,098,839,266,794,204,031,476,740,931,809,443,632,094,
977,693,232,547,919,041,848,689,417,253,776,551,233,302,661,812,949,375,268,
701,991,167,845,885,675,561,613,000,490,498,668,160,465,217,708,212,134,105,
268,846,151,767,995,520,090,499,363,341,010,403,855,070,179,465,950,975,597,
465,994,364,654,655,959,683,656,479,020,296,514,935,024,017,446,101,491,597,
224,600,130,448,577,653,555,452,980,088,411,089,969,138,490,163,983,281,843,
545,159,377,788,115,914,748,191,289,733,979,876,603,003,489,253,162,699,043,
859,869,483,835,244,489,726,789,914,999,227,170,550,192,022,744,755,274,176,
325,392,624,691,587,794,063,992,967,165,942,772,748,960,229,775,482,454,882,
938,702,540,335,953,548,981,030,067,268,404,034,267,246,723,166,885,310,837,
904,655,260,369,896,039,058,697,019,445,445,348,005,852,380,765,523,757,302,
290,275,739,823,303,823,658,494,394,868,539,437,321,146,485,495,831,276,560,
900,770,003,314,725,881,275,756,545,163,309,580,096,554,119,902,135,499,184,
482,076,853,444,884,926,901,207,557,862,082,805,890,912,240,667,531,737,699,
025,351,879,075,899,649,646,513,118,312,660,339,335,277,069,490,438,519,521,
415,881,280,888,426,629,542,076,207,751,985,992,940,936,266,179,462,119,092,
394,850,022,230,716,732,060,103,596,350,474,834,666,960,781,320,266,852,654,
246,106,248,880,872,976,792,434,403,032,742,701,599,274,633,303,966,333,069,
231,874,520,081,316,623,315,684,486,292,618,168,920,138,015,045,802,885,654,
589,563,599,146,766,245,439,102,543,423,153,143,202,703,631,693,901,643,727,
528,077,947,670,452,272,558,883,516,648,578,315,898,807,678,378,370,824,007,
756,634,527,120,242,273,245,927,494,677,143,429,237,296,578,170,977,792,253,
617,906,485,713,221,157,399,142,404,030,246,951,543,410,902,245,088,646,084,
412,550,151,542,706,231,322,542,008,700,425,671,307,675,370,398,360,612,989,
140,279,187,197,614,302,493,422,507,948,285,748,756,258,640,369,450,727,127,
461,289,745,751,006,394,755,555,365,320,959,248,764,681,839,435,674,200,824,
965,126,341,372,169,193,164,344,078,647,722,636,930,498,533,440,779,019,660,
282,997,364,215,649,351,338,983,794,576,700,009,889,232,670,805,794,790,446,
550,481,963,629,435,411,215,641,637,582,725,333,041,461,077,430,173,456,235,
824,641,579,173,603,326,252,591,890,759,478,413,417,628,031,245,707,695,851,
985,634,606,904,983,292,180,141,092,472,804,358,136,734,423,105,457,708,982,
747,980,877,931,374,804,187,295,948,843,675,848,636,268,376,858,570,689,979,
785,479,300,870,658,270,803,429,718,101,402,562,254,877,100,111,520,187,778,
299,717,610,890,695,933,032,389,585,802,312,736,972,819,951,787,700,230,565,
868,796,079,137,384,710,414,571,065,834,635,423,842,159,821,919,698,043,283,
215,071,272,900,140,843,986,408,003,541,816,900,416,099,988,412,527,263,397,
220,906,985,197,021,279,350,836,606,089,634,893,723,211,299,877,986,255,507,
705,213,739,223,970,059,679,246,476,882,221,040,402,065,466,331,771,880,662,
834,274,720,772,317,020,180,219,813,754,238,352,433,312,026,387,887,174,878,
505,234,327,608,288,649,585,072,239,847,406,353,914,042,066,998,712,888,194,
966,310,900,103,508,912,710,281,250,042,297,418,386,019,619,797,474,922,924,
065,616,531,574,479,002,526,726,019,601,173,992,531,523,477,951,753,655,914,
655,258,191,513,917,834,600,441,026,538,134,501,562,603,544,286,306,734,278,
678,565,307,280,445,403,160,445,034,332,635,213,804,001,159,534,103,300,040,
058,832,179,630,788,002,488,621,280,043,774,841,036,839,281,794,892,959,933,
030,650,350,722,577,204,909,120,036,880,456,737,557,578,489,828,664,476,667,
736,467,547,426,685,801,867,628,991,799,785,904,008,595,915,690,421,355,539,
445,337,671,850,616,302,292,390,668,918,782,702,879,241,533,281,084,960,398,
355,254,239,124,882,448,279,204,995,062,830,279,897,595,286,865,873,881,441,
594,273,167,591,672,932,581,617,955,113,780,285,154,791,679,447,092,578,091,
733,953,282,285,264,116,767,299,087,411,997,194,891,860,613,299,780,734,572,
808,104,589,032,151,218,977,779,113,356,244,256,296,805,594,547,638,716,728,
823,993,068,651,665,813,965,360,894,155,871,646,956,006,985,283,747,896,622,
015,891,510,795,023,807,450,248,016,452,413,596,040,693,793,282,653,646,693,
875,471,980,245,773,060,444,040,271,900,203,344,499,876,126,333,900,933,322,
552,035,882,052,939,040,018,780,555,094,251,194,036,637,026,450,294,585,607,
035,379,083,445,289,486,841,910,629,385,655,018,269,354,843,244,912,165,547,
846,759,471,136,644,658,685,765,114,150,891,749,243,219,722,232,570,136,111,
216,192,622,274,271,024,348,469,710,019,502,398,249,634,139,351,750,232,071,
084,368,706,879,354,097,876,305,000,377,793,857,879,618,109,252,549,716,113,
828,736,728,896,765,496,593,181,847,960,598,410,457,207,414,988,148,894,647,
554,199,779,638,657,983,006,868,255,314,609,890,890,658,870,615,816,284,473,
854,358,158,466,377,353,096,576,579,292,064,584,878,042,504,701,550,986,963,
880,199,405,237,682,172,480,705,958,875,232,600,384,816,202,907,684,179,997,
073,905,773,115,344,723,643,069,799,230,676,833,448,896,958,701,924,310,480,
728,588,828,640,054,283,166,274,035,477,053,096,198,305,779,428,410,819,940,
413,864,471,189,024,936,367,306,752,008,796,867,144,949,474,490,188,464,699,
262,158,176,978,084,230,882,167,185,645,281,174,541,293,704,079,130,279,877,
731,775,449,066,895,699,972,154,381,159,137,525,241,818,458,943,742,732,050,
943,413,737,893,773,833,336,232,153,721,608,377,161,409,266,733,447,494,662,
683,807,569,083,031,995,055,566,067,082,594,031,573,055,184,977,094,428,552,
476,583,894,010,076,724,417,619,368,712,322,564,070,250,397,204,988,727,987,
056,662,588,460,570,500,464,140,218,805,202,489,523,484,614,615,326,724,871,
850,055,339,582,957,144,087,227,200,259,270,786,797,576,371,886,270,727,762,
111,568,079,344,648,438,849,451,130,955,535,562,859,105,203,272,979,136,924,
133,319,870,022,961,247,457,825,875,405,222,719,333,498,185,531,696,770,224,
672,093,358,992,581,537,435,248,902,747,970,561,405,118,842,759,955,857,776,
220,642,203,963,378,822,874,184,183,851,763,351,022,093,116,751,156,205,739,
809,760,362,371,461,884,026,441,975,928,864,882,645,692,966,984,835,229,770,
957,892,315,633,514,873,297,732,134,221,690,030,665,293,354,207,356,985,568,
291,612,317,344,465,800,645,884,017,781,603,543,367,338,719,748,601,363,446,
545,743,369,080,291,724,429,380,094,759,159,991,918,286,278,092,719,099,480,
765,367,647,573,854,572,863,598,741,425,322,718,898,019,382,287,379,975,319,
920,060,849,326,349,404,906,916,511,983,549,133,303,357,291,078,688,557,075,
158,355,294,390,644,686,723,579,377,889,433,756,936,583,701,404,908,564,138,
028,078,637,466,973,776,440,175,295,509,031,350,954,408,271,457,348,043,121,
093,198,836,835,846,353,223,369,731,115,385,767,853,881,602,053,875,395,541,
888,475,993,949,235,595,665,165,605,497,778,058,651,247,296,204,873,651,054,
342,963,678,808,158,837,818,841,605,275,018,299,673,903,913,023,700,403,467,
234,838,100,223,212,161,761,820,667,743,952,643,310,313,909,001,939,658,683,
656,887,554,224,493,793,970,102,081,275,890,165,092,634,051,288,228,690,639,
982,685,804,193,975,657,955,815,032,045,878,202,613,803,452,271,571,630,955,
373,883,128,352,888,584,122,288,898,998,359,728,933,565,751,772,396,294,412,
689,414,901,875,562,959,565,176,100,133,109,557,066,477,900,619,943,463,907,
181,983,237,531,415,921,069,918,859,003,883,060,096,648,899,739,024,276,063,
675,663,612,653,526,761,331,947,052,760,913,062,899,412,890,516,105,322,086,
689,672,231,012,420,224,622,267,206,693,055,556,716,465,196,390,158,689,098,
742,412,852,631,768,555,616,259,685,427,606,478,921,435,582,190,418,261,723,
037,154,515,390,816,650,775,546,247,922,947,377,976,627,026,008,260,833,417,
918,228,647,028,663,160,839,093,334,885,749,287,138,291,437,721,294,299,295,
596,834,859,377,010,962,277,294,729,937,686,494,343,602,656,341,996,441,086,
583,757,704,664,785,358,781,805,814,545,444,778,903,476,759,022,875,281,466,
738,562,960,775,474,701,972,983,473,745,039,623,022,376,772,600,888,577,354,
178,360,521,522,996,864,224,440,634,685,409,571,112,469,423,912,151,821,547,
108,902,172,998,335,504,175,724,688,690,542,598,000,065,292,143,528,013,551,
950,836,388,192,469,297,386,725,495,816,026,260,299,832,745,979,835,649,450,
470,600,894,141,520,476,928,920,595,573,226,030,090,727,145,329,780,373,166,
774,985,879,783,361,751,360,480,168,470,110,930,521,780,110,263,873,113,070,
349,390,839,159,330,555,903,289,481,376,386,548,704,782,477,345,978,366,891,
549,900,200,179,716,341,189,039,211,461,642,192,194,852,951,647,817,973,715,
716,663,944,655,542,554,224,699,334,747,260,983,604,825,857,187,700,330,205,
282,792,399,900,183,180,502,964,121,803,680,383,979,972,481,955,332,270,021,
735,487,143,072,770,096,627,126,939,112,669,377,270,284,120,943,508,466,281,
332,033,262,533,169,448,690,975,830,010,701,824,934,994,351,730,738,107,627,
116,449,528,746,673,025,137,807,221,339,457,925,558,919,287,134,283,931,264,
821,949,459,325,631,447,058,467,162,915,520,411,193,790,447,781,812,417,444,
146,162,331,376,296,401,662,678,389,574,661,521,794,677,164,771,524,520,142,
694,979,582,457,749,412,040,181,323,342,500,418,439,937,992,043,934,557,548,
038,911,963,277,326,237,538,829,663,471,403,779,474,915,662,820,822,858,309,
655,872,865,571,417,255,967,358,434,024,811,953,233,392,739,165,353,733,779,
491,230,302,590,151,694,578,952,831,035,667,923,635,014,953,034,855,260,877,
649,191,308,068,307,484,696,214,728,745,185,945,240,465,832,417,561,331,925,
400,954,525,622,531,892,035,370,881,130,482,794,356,330,008,915,306,664,267,
263,793,576,727,767,191,115,409,372,753,872,070,808,205,610,766,168,017,363,
673,511,162,400,361,530,988,765,814,446,652,939,011,074,424,775,662,739,853,
830,824,569,839,219,322,171,167,250,961,820,242,376,779,105,956,635,733,397,
266,199,729,244,664,281,490,903,374,565,087,019,754,424,708,743,692,761,698,
302,435,122,844,600,311,494,415,449,198,940,037,454,342,903,866,988,255,954,
595,543,150,244,236,750,488,829,463,484,356,164,942,388,462,096,156,812,884,
285,121,729,115,483,789,827,569,990,706,981,111,377,807,164,870,255,468,247,
280,222,779,498,186,762,442,706,255,969,717,021,183,618,091,984,449,695,106,
105,806,772,374,200,972,629,661,977,154,591,602,780,360,187,519,291,759,613,
227,359,281,234,851,975,309,824,890,188,534,401,998,281,877,247,237,152,459,
578,702,038,955,024,055,541,946,630,131,775,453,078,572,280,001,525,684,930,
807,957,254,020,178,174,064,704,350,486,243,847,671,478,096,649,443,586,829,
019,716,262,128,195,699,207,868,578,099,272,517,844,336,904,992,844,622,493,
472,501,295,104,168,276,433,296,886,626,705,761,469,117,679,925,490,775,601,
667,922,183,677,211,019,588,244,447,990,573,389,283,126,220,177,189,400,714,
238,694,787,295,232,476,358,220,415,284,539,069,051,243,601,153,928,477,042,
321,672,833,494,345,696,795,704,445,638,587,686,450,515,260,750,371,973,136,
205,729,879,818,488,089,374,535,408,280,600,843,511,606,378,968,996,785,470,
165,300,074,277,870,590,373,980,606,076,113,991,352,626,084,680,778,339,622,
759,305,300,723,242,450,930,051,044,960,803,143,811,691,276,034,505,173,429,
448,998,897,611,096,159,718,498,784,001,447,278,113,827,386,688,016,986,357,
403,876,458,316,655,388,314,142,432,543,822,161,614,772,069,318,359,617,530,
893,019,013,679,925,527,415,560,401,020,928,181,822,602,393,290,611,043,472,
702,970,849,440,136,726,777,917,997,523,617,103,486,262,968,774,284,624,059,
782,666,800,915,256,366,408,598,102,290,524,661,048,930,888,273,967,376,885,
082,304,650,767,675,788,910,036,234,305,146,827,779,276,019,461,685,283,504,
929,665,111,663,388,631,754,583,298,939,209,591,872,166,822,111,367,395,069,
402,498,340,448,650,434,114,468,507,829,790,483,347,421,768,658,399,540,565,
766,313,316,734,987,371,303,064,452,242,270,675,516,580,707,879,976,376,859,
346,072,249,502,155,111,825,312,411,997,951,250,079,927,045,820,562,160,343,
464,431,783,975,093,848,003,761,983,698,150,328,801,277,522,215,545,616,443,
754,327,797,310,970,760,405,391,700,265,077,597,714,541,407,578,595,626,958,
240,778,393,838,406,937,749,482,199,445,038,300,210,796,086,187,979,069,158,
118,541,376,105,477,404,012,596,756,136,775,294,722,022,937,020,041,504,374,
369,055,897,812,551,029,760,216,093,289,449,683,065,741,204,886,650,260,994,
977,950,778,520,375,541,502,525,451,403,693,493,131,100,713,321,811,110,888,
582,737,883,353,431,558,018,543,762,600,620,388,458,834,136,001,368,668,554,
385,529,286,865,552,787,405,266,973,514,523,681,977,738,295,736,362,686,048,
254,019,472,477,590,025,102,151,717,524,526,268,991,762,607,518,972,183,958,
287,571,840,013,821,826,952,882,770,184,215,585,347,463,973,735,555,901,268,
273,684,707,917,482,401,528,557,368,900,631,546,993,089,092,135,070,340,780,
492,752,650,957,378,155,150,498,828,406,661,320,622,628,326,407,406,159,551,
642,120,264,416,881,537,578,195,806,036,621,343,693,491,977,420,415,366,966,
011,352,644,423,714,238,501,655,719,996,063,100,154,136,995,387,762,978,011,
312,636,913,246,646,160,444,987,297,535,798,222,761,764,387,260,976,797,512,
061,704,115,538,357,763,256,935,179,895,420,852,891,861,038,749,093,791,771,
389,731,414,304,390,357,817,451,649,111,998,374,680,069,438,000,954,793,803,
874,922,839,072,350,809,053,836,749,923,474,683,127,574,496,781,873,626,568,
719,177,447,178,912,849,068,056,501,844,882,921,287,455,918,918,003,541,137,
178,473,209,968,874,206,221,805,001,209,607,006,706,383,041,766,134,505,778,
236,901,565,787,105,535,396,516,102,204,129,684,069,811,767,786,950,023,347,
293,887,173,915,451,729,690,054,556,366,034,158,101,127,662,409,861,093,050,
116,079,807,449,979,483,404,866,637,810,769,011,525,512,011,513,392,567,871,
359,038,236,632,290,517,870,355,847,648,347,257,260,462,753,689,539,760,787,
380,610,617,704,919,859,397,035,830,045,479,587,250,226,651,818,370,652,887,
303,983,997,110,350,469,306,879,369,747,215,115,198,918,526,203,867,670,687,
982,088,800,713,746,493,065,748,928,544,178,507,828,382,287,974,208,219,261,
719,164,477,203,071,720,436,308,939,595,374,613,704,514,711,195,021,697,637,
196,929,647,795,328,731,202,058,364,392,096,107,845,214,071,144,030,740,896,
896,508,445,950,968,158,596,076,524,982,547,868,015,949,614,204,159,728,485,
991,788,464,845,029,861,522,830,370,596,017,886,318,732,561,680,096,027,924,
308,419,938,119,227,693,434,240,539,558,016,400,915,148,364,486,457,522,194,
391,528,509,860,804,290,804,952,270,827,393,350,071,030,085,004,546,079,051,
834,479,357,956,980,668,084,613,391,719,905,599,901,021,517,780,862,239,024,
470,474,578,118,436,337,931,482,004,238,182,066,497,708,153,330,513,501,056,
363,335,634,557,092,822,227,551,188,709,357,639,358,905,448,969,523,738,277,
204,748,673,525,829,309,408,564,754,573,822,363,728,180,729,028,904,396,244,
102,853,251,194,920,823,564,900,309,701,169,660,346,505,645,729,968,733,072,
630,892,873,213,533,695,557,349,965,874,576,821,038,231,804,777,427,873,784,
076,090,957,396,617,542,712,082,487,928,350,251,159,368,751,678,838,881,687,
306,378,173,066,916,975,011,850,183,969,446,491,301,564,342,689,998,999,788,
330,983,515,599,542,522,098,083,074,074,305,261,513,413,178,326,320,309,804,
357,238,787,178,087,290,607,959,653,861,178,538,745,738,249,494,612,463,043,
477,856,123,842,360,516,170,317,918,377,550,531,227,991,257,787,714,783,904,
931,568,154,086,371,787,324,182,274,003,709,503,996,148,086,253,640,049,345,
037,822,408,795,092,646,422,500,033,714,564,853,326,138,337,870,345,403,317,
468,126,878,073,484,958,074,729,151,777,903,864,127,743,413,043,914,153,697,
026,625,227,239,696,475,062,538,718,549,582,969,260,475,355,028,762,880,900,
661,388,262,121,023,462,173,183,617,229,958,672,049,875,658,380,312,656,692,
719,781,272,061,748,125,806,166,266,806,181,997,103,187,847,543,387,997,929,
835,639,369,129,738,443,848,168,496,061,751,246,448,398,083,894,022,176,369,
111,647,550,669,895,033,180,157,032,436,432,711,621,731,838,760,107,698,319,
974,215,869,255,797,526,156,247,522,105,326,057,535,380,759,675,267,750,682,
386,645,919,113,282,624,224,884,243,367,283,397,189,836,861,038,406,156,075,
040,067,415,130,228,679,590,397,205,090,935,743,864,754,000,530,803,646,694,
093,201,489,857,986,849,129,706,898,109,903,690,486,747,394,510,617,706,521,
124,665,361,848,353,743,731,449,926,874,647,242,974,592,602,622,994,227,562,
390,433,326,625,287,570,049,154,127,042,511,245,157,210,109,804,957,532,231,
670,289,507,501,204,473,240,039,138,230,965,586,488,516,267,489,017,030,952,
920,653,400,514,160,176,407,361,639,558,797,137,684,713,912,409,232,875,086,
174,710,076,939,003,487,485,249,719,285,600,942,593,262,913,881,564,050,573,
229,588,013,748,710,725,253,549,632,961,270,865,057,330,815,712,605,041,571,
033,434,951,118,660,319,869,740,106,695,262,292,513,066,244,911,034,316,686,
650,840,662,144,656,305,166,995,515,873,264,857,305,816,939,439,866,096,751,
435,832,330,502,880,524,378,595,998,570,828,507,925,926,979,969,928,271,898,
743,084,034,692,316,597,784,369,048,845,913,507,511,724,743,863,641,216,363,
243,831,262,969,721,821,721,162,057,637,556,361,384,163,316,974,216,355,401,
315,887,204,335,397,739,542,960,137,499,463,530,508,325,548,253,352,318,635,
908,354,409,643,288,529,603,263,372,294,153,110,790,173,046,770,032,750,790,
545,716,442,800,741,117,823,777,555,488,598,474,829,123,679,259,075,564,306,
683,909,729,483,891,416,026,584,559,222,913,137,165,289,821,304,248,933,124,
805,082,752,474,264,754,593,603,596,948,243,015,089,990,395,965,523,976,057,
770,726,200,103,532,646,175,268,961,237,710,686,945,924,007,023,191,763,434,
864,773,805,433,686,009,558,364,537,283,508,157,971,379,682,724,123,269,933,
455,508,474,102,506,026,512,037,660,794,537,662,968,962,659,574,826,517,380,
987,879,269,080,120,516,476,412,598,118,689,270,176,748,511,756,345,334,583,
444,026,177,015,668,886,736,390,458,612,195,618,288,476,354,735,285,197,137,
733,397,714,027,268,142,977,802,625,711,807,084,342,177,088,767,599,649,851,
513,985,354,232,458,909,727,301,817,164,178,039,450,084,884,155,199,327,187,
191,891,708,063,237,312,547,597,760,189,716,281,230,681,706,301,496,607,206,
445,459,017,387,058,842,916,271,355,888,143,858,389,288,054,325,285,695,180,
637,089,418,531,682,395,450,592,146,427,792,589,479,930,578,176,693,677,678,
570,728,268,502,644,625,455,692,757,587,526,066,526,676,070,709,609,227,934,
338,974,421,800,556,759,151,074,365,870,747,846,656,276,586,918,005,515,091,
147,411,905,285,267,409,537,484,815,322,410,415,800,381,258,939,471,040,757,
572,079,122,550,761,213,100,269,576,058,980,972,754,590,470,360,576,670,578,
816,041,064,886,128,500,581,460,450,056,469,032,057,142,197,274,800,201,009,
279,269,651,831,361,599,391,290,135,040,098,031,539,117,369,039,398,751,299,
951,808,026,573,994,719,631,036,954,561,472,714,177,250,754,938,500,221,674,
907,787,955,999,468,044,012,035,873,400,305,161,641,540,344,350,990,525,685,
572,659,244,484,252,186,108,762,702,239,792,796,624,372,950,203,839,605,699,
571,764,679,326,127,112,072,241,092,199,099,552,223,426,393,795,925,176,271,
153,844,841,848,881,249,110,642,099,038,180,777,149,586,297,254,560,994,205,
430,684,921,143,900,538,712,627,436,501,135,428,691,154,076,655,276,281,778,
661,395,651,971,659,417,280,852,206,922,989,097,758,667,768,740,012,131,611,
240,233,766,989,668,130,807,794,027,405,177,609,701,392,555,825,278,846,355,
152,271,980,668,278,684,090,318,269,500,873,070,387,799,252,947,902,426,184,
538,730,451,134,199,153,582,051,991,053,460,104,989,595,291,123,527,443,361,
793,950,166,781,276,162,924,985,566,780,444,903,091,592,810,249,333,361,852,
144,314,473,450,261,429,005,025,399,780,172,606,029,994,677,181,599,638,302,
024,417,254,872,506,827,009,869,416,649,025,145,389,613,579,234,680,213,571,
719,809,822,127,546,778,180,450,905,199,183,434,219,836,667,308,099,167,584,
885,494,836,346,621,438,556,443,034,341,612,694,328,405,963,272,163,001,431,
791,662,065,170,829,146,501,985,558,450,515,832,296,924,655,448,757,512,630,
203,477,959,174,868,024,249,443,243,205,433,856,780,724,546,171,643,080,916,
320,169,437,466,276,526,108,732,469,803,096,718,959,128,596,416,287,627,932,
602,412,658,392,729,004,809,847,482,454,435,217,175,726,579,485,721,196,791,
815,216,044,028,608,700,181,846,539,108,660,543,023,351,394,908,143,131,901,
576,854,561,361,737,619,659,031,365,559,893,891,889,799,261,822,175,850,412,
919,896,695,428,517,777,317,765,289,822,189,951,738,945,091,088,967,344,020,
535,157,178,498,427,450,405,282,620,836,513,339,888,571,456,850,734,354,756,
602,841,876,514,504,167,884,709,545,201,434,151,634,833,132,437,757,275,861,
878,233,874,468,724,427,454,217,259,212,014,651,458,151,587,407,013,924,124,
516,366,830,026,749,018,581,843,083,940,998,564,817,966,625,854,258,956,615,
343,212,711,512,350,474,969,194,946,947,381,142,375,308,381,083,126,776,111,
858,046,242,289,470,779,271,359,285,278,512,363,087,023,210,189,397,474,176,
924,235,143,559,908,797,733,084,602,439,684,410,058,741,870,437,020,878,323,
495,953,036,153,217,800,253,942,740,472,184,557,556,600,471,406,290,507,952,
151,837,671,427,738,114,276,959,175,725,975,749,667,695,047,028,114,454,079,
990,902,644,906,400,092,399,691,725,930,767,280,442,705,825,518,840,673,756,
775,252,996,116,088,450,163,357,446,562,864,458,760,048,858,140,123,311,194,
947,066,878,011,573,074,405,853,997,879,707,535,883,525,147,458,687,624,911,
447,108,328,086,018,198,783,882,113,260,269,770,988,596,652,056,502,429,052,
195,611,087,449,869,733,377,770,829,628,664,709,190,347,687,249,200,686,641,
400,816,640,740,585,786,334,671,399,728,685,090,293,304,043,003,881,244,177,
912,091,607,431,814,489,513,574,563,502,012,485,245,874,341,849,326,578,499,
306,289,853,736,921,386,697,274,910,933,309,332,504,424,335,083,118,798,685,
129,399,514,545,039,717,299,368,525,411,819,897,110,314,507,719,702,374,802,
586,164,030,138,407,287,551,440,924,893,835,433,983,016,924,596,729,181,126,
247,824,112,421,799,818,779,727,978,887,479,814,195,584,325,347,115,973,753,
551,913,088,551,254,623,426,553,594,654,366,424,373,180,162,660,214,151,003,
798,714,104,588,840,066,033,994,910,512,520,465,689,084,852,693,959,159,883,
090,244,318,292,631,405,106,585,114,909,552,945,270,643,239,985,652,514,591,
762,875,710,919,177,089,262,811,285,576,770,170,105,739,528,941,095,793,808,
615,265,198,126,762,423,404,377,451,380,120,580,859,993,407,096,625,082,648,
281,506,127,214,726,092,295,904,422,372,571,649,646,034,561,967,732,227,991,
853,221,729,851,628,519,175,705,974,622,131,855,185,512,163,767,378,824,152,
258,583,200,737,416,662,586,588,110,586,702,518,325,184,484,390,846,791,160,
940,381,587,419,418,877,741,119,115,513,978,279,209,374,912,204,702,168,954,
158,275,615,431,983,703,247,994,839,151,548,878,562,566,912,565,958,707,694,
435,618,251,392,751,495,902,617,944,812,172,263,633,906,479,945,780,137,623,
234,768,483,815,898,548,839,371,244,709,120,621,656,576,465,187,759,763,970,
602,964,934,986,288,569,955,247,061,060,769,298,473,852,455,912,341,173,656,
794,546,501,233,910,602,165,544,250,909,823,977,857,923,630,950,620,425,393,
558,159,688,964,294,552,894,256,646,716,845,425,442,970,674,134,413,330,872,
613,225,117,164,149,702,479,774,759,265,227,663,852,793,010,857,106,532,851,
291,744,850,840,825,232,075,630,032,663,088,203,532,388,417,218,977,144,754,
194,844,960,706,762,810,356,576,455,030,690,185,410,279,869,554,448,635,315,
204,995,064,774,656,674,439,938,448,767,866,739,115,142,247,746,608,703,398,
025,831,403,205,819,261,010,550,656,749,221,137,133,527,709,815,088,698,286,
672,915,078,450,295,928,087,769,987,999,125,292,646,818,244,780,055,420,679,
228,138,515,244,519,694,598,052,406,352,141,829,410,906,251,552,798,804,943,
411,181,389,489,169,794,495,072,292,585,611,841,726,167,147,060,942,476,320,
773,653,162,376,669,991,198,878,795,586,912,214,534,795,819,863,745,894,721,
914,431,202,447,485,121,800,096,160,317,250,728,119,071,931,928,991,854,529,
351,091,249,209,210,928,486,441,402,675,743,827,445,687,137,098,679,188,850,
201,128,462,351,243,092,970,081,336,568,303,469,800,768,659,633,095,867,075,
072,259,292,807,823,730,340,616,748,027,390,502,086,190,206,288,891,590,648,
974,124,082,657,650,374,923,102,976,539,330,487,348,526,279,213,678,687,723,
658,195,900,068,743,930,640,344,918,632,105,004,780,830,713,631,359,685,328,
383,417,402,448,947,271,472,261,645,670,582,300,000,806,456,004,229,653,202,
802,505,366,969,068,664,358,981,314,365,267,154,435,987,160,146,651,533,636,
932,951,912,341,900,053,465,567,497,062,293,272,336,136,756,965,960,260,553,
474,490,907,781,678,557,583,251,412,207,677,841,533,074,623,318,357,234,556,
424,176,066,766,201,482,150,064,936,204,000,094,119,805,630,061,006,890,298,
635,433,438,315,736,196,162,301,983,596,511,062,645,207,280,727,192,074,512,
758,583,554,112,136,745,844,942,119,672,311,332,478,477,287,917,009,865,883,
031,354,719,963,765,281,675,194,318,007,733,785,138,483,405,411,014,381,145,
353,651,303,417,994,469,169,636,161,681,951,502,940,282,527,069,709,808,247,
878,160,162,077,007,252,386,708,459,404,960,205,707,190,252,000,187,162,485,
927,050,510,842,277,894,114,765,235,523,917,409,894,188,212,793,374,935,285,
476,382,441,526,044,552,237,755,126,096,781,454,475,083,923,197,900,956,346,
180,220,961,311,685,970,309,234,365,530,639,552,807,836,212,588,797,877,873,
692,748,536,881,178,402,647,536,933,969,632,864,775,859,427,446,761,516,771,
307,619,364,851,401,403,678,055,188,266,845,286,513,364,013,066,952,300,183,
683,391,231,217,888,330,404,770,619,450,076,327,301,773,980,870,987,645,227,
755,560,394,718,250,565,603,079,672,404,565,029,839,018,207,730,974,845,687,
611,824,104,628,067,668,644,750,438,022,889,088,868,998,654,607,580,257,310,
514,808,693,439,231,235,809,055,269,194,524,568,870,268,463,324,802,899,185,
395,245,363,110,783,195,586,697,882,115,783,819,953,220,043,593,667,374,047,
062,918,465,182,087,736,361,782,024,439,371,790,566,923,108,341,825,915,468,
890,685,898,024,030,291,440,245,585,857,801,659,859,182,255,558,949,050,698,
499,818,401,201,874,552,374,141,902,937,398,438,645,531,030,561,748,559,614,
904,150,756,851,594,689,408,543,673,904,867,888,525,452,042,722,286,192,773,
915,983,935,727,340,581,708,717,763,091,062,808,516,541,252,010,725,557,603,
678,159,709,758,089,534,538,229,185,604,833,514,467,242,895,107,601,075,921,
556,315,231,254,074,487,952,994,832,261,050,872,308,837,176,960,851,153,005,
168,136,348,754,106,593,270,808,444,274,987,192,463,973,949,125,935,574,085,
350,832,605,155,522,302,476,402,283,279,750,011,562,744,178,171,978,522,928,
111,078,750,373,803,543,582,377,423,158,571,568,004,502,005,651,883,775,814,
132,012,041,485,672,868,444,814,959,678,182,441,827,677,682,502,327,445,631,
959,929,779,657,259,257,554,448,625,703,080,634,312,987,344,267,793,044,490,
158,325,100,496,904,585,550,117,402,717,234,047,317,504,261,447,063,877,008,
706,278,164,877,911,355,757,785,477,494,263,611,656,934,495,452,631,187,740,
026,562,429,647,682,850,401,328,151,640,864,849,767,925,778,463,960,246,321,
564,529,631,616,819,836,327,706,430,400,457,027,184,880,402,613,334,438,622,
660,585,117,544,628,470,182,677,862,467,647,028,877,595,148,122,455,493,340,
531,159,843,364,925,670,328,322,891,678,988,764,802,453,277,156,020,812,175,
998,032,351,475,577,134,793,974,820,787,734,653,228,480,204,028,374,713,018,
387,372,588,640,077,072,423,653,808,792,482,215,775,463,079,394,870,544,402,
013,903,673,084,177,766,587,957,785,253,473,583,512,170,714,694,429,783,791,
896,821,213,787,376,556,528,931,177,173,454,343,332,260,933,119,877,727,433,
721,249,827,218,423,594,546,221,319,627,222,374,577,015,633,531,559,432,780,
849,510,043,743,548,198,075,113,490,175,218,497,431,290,092,362,912,132,351,
897,564,035,475,001,167,420,463,411,409,413,719,281,523,592,623,908,552,743,
595,395,398,420,841,927,227,194,620,867,479,103,914,160,029,505,916,628,529,
943,455,988,760,993,145,927,585,174,924,462,931,999,895,091,560,591,195,970,
173,508,397,324,918,080,572,033,687,079,568,587,240,410,889,282,178,962,488,
054,984,194,980,158,747,431,660,605,804,435,084,031,317,953,314,256,973,120,
941,580,435,981,381,767,291,673,030,406,840,912,277,279,665,035,789,739,528,
533,094,732,574,749,481,814,214,849,343,657,438,436,915,960,898,039,790,911,
371,369,031,592,967,370,635,413,149,407,105,434,270,824,695,953,262,701,934,
070,739,665,922,831,245,463,851,604,814,943,900,968,224,216,618,147,016,991,
255,594,593,356,099,296,751,805,954,911,551,914,057,107,632,336,721,024,497,
576,509,190,991,260,345,863,538,027,126,010,467,454,986,354,986,281,833,039,
557,040,970,651,886,197,889,407,358,479,046,466,974,631,808,071,293,514,570,
250,437,259,902,639,631,619,813,898,462,771,948,254,868,671,028,269,088,597,
941,429,823,615,945,712,742,042,786,436,454,962,444,896,237,117,742,814,690,
820,016,043,771,610,157,747,678,804,720,254,826,114,961,889,797,689,455,428,
456,238,182,966,898,294,522,905,068,360,588,212,479,054,829,433,459,520,261,
182,679,651,324,445,927,957,682,835,518,647,440,386,218,567,752,411,908,223,
805,558,448,336,920,123,983,119,156,440,695,074,304,463,841,696,619,963,290,
428,441,399,150,471,802,495,815,602,300,553,978,019,789,536,867,948,665,432,
399,515,271,907,185,189,673,967,457,593,476,282,962,232,177,003,843,948,619,
116,890,231,524,960,661,050,743,530,585,644,089,295,089,773,476,334,242,513,
456,814,423,681,864,520,253,263,569,599,596,922,322,415,609,743,551,366,096,
566,556,613,305,844,256,914,873,900,728,686,327,394,586,078,381,321,904,042,
397,014,034,220,023,188,461,022,693,695,014,140,185,692,839,824,467,244,291,
900,018,813,420,988,067,887,891,708,688,951,513,326,198,888,426,651,075,231,
002,086,031,019,889,241,899,039,729,890,898,802,088,329,808,047,859,842,109,
544,566,161,436,713,846,315,051,116,035,079,525,805,360,787,027,897,410,523,
877,835,017,078,523,411,473,922,900,390,202,214,535,876,508,433,581,246,823,
604,040,990,032,440,074,036,905,827,618,236,899,103,097,759,510,364,488,541,
085,653,857,291,052,285,326,150,733,346,368,293,033,281,230,978,064,559,816,
226,583,762,508,860,623,042,806,142,984,773,902,899,509,068,033,012,211,008,
481,630,197,473,819,624,738,265,507,486,847,265,714,886,536,726,073,707,364,
662,828,365,394,141,437,216,708,606,396,700,188,864,052,607,635,583,479,837,
064,681,688,558,051,323,487,395,338,179,410,302,739,151,671,912,330,947,500,
811,458,975,259,640,489,971,547,039,988,260,436,411,260,222,914,255,030,522,
271,266,986,130,049,879,616,159,945,691,675,804,619,473,258,231,161,122,932,
989,982,980,308,252,131,382,242,494,922,259,868,890,865,358,720,036,362,339,
324,546,449,002,250,633,725,281,509,056,130,204,421,324,859,972,483,548,711,
873,197,333,624,887,995,923,199,890,785,196,373,249,751,071,690,042,899,854,
173,195,914,759,123,932,705,527,417,985,550,155,417,555,055,602,927,483,772,
139,997,022,058,787,818,540,983,157,405,691,163,774,434,560,639,840,471,628,
633,780,993,145,282,983,533,284,584,704,386,699,893,906,727,822,610,457,535,
148,152,910,439,693,114,387,544,543,283,789,364,191,036,758,567,896,879,177,
937,846,151,610,335,129,380,905,787,910,150,400,299,969,235,306,609,692,834,
268,277,170,184,473,598,815,169,486,147,148,417,837,422,338,059,024,842,894,
077,565,562,559,395,850,576,220,855,144,837,610,669,865,500,040,326,199,613,
454,877,706,760,627,035,583,594,827,458,519,047,128,350,935,338,795,250,285,
235,405,140,351,665,157,961,457,932,925,283,391,983,298,027,169,394,092,680,
218,031,020,729,886,105,208,101,560,187,768,340,031,105,420,965,487,482,164,
364,382,813,425,848,290,096,751,663,366,390,942,267,461,219,790,596,228,474,
607,433,523,469,758,206,124,273,443,231,545,285,165,093,611,218,652,089,135,
763,772,002,271,519,164,632,793,406,544,746,530,064,738,054,709,377,694,300,
208,211,917,248,986,082,301,552,427,483,862,353,130,336,088,886,471,725,965,
608,590,316,533,342,367,273,613,023,551,853,666,149,725,557,648,759,413,302,
604,998,475,514,552,503,127,873,698,367,568,377,001,179,909,118,196,752,074,
317,969,373,795,140,395,404,431,336,102,299,322,658,162,200,332,947,471,579,
000,124,568,606,662,213,605,745,914,288,395,806,249,559,382,855,685,847,552,
149,887,162,249,773,845,264,112,648,997,626,402,459,294,555,254,709,910,751,
265,872,431,611,664,498,981,420,291,431,355,326,684,058,634,148,931,346,464,
061,011,144,864,433,435,078,235,679,173,265,153,317,142,022,307,804,654,716,
468,155,230,657,262,931,229,596,254,104,434,509,239,141,985,942,317,749,819,
393,673,712,111,068,191,278,918,739,039,285,971,960,924,084,559,717,186,718,
528,122,674,794,362,087,937,179,440,995,463,178,102,277,074,540,389,671,499,
325,914,808,201,547,681,494,673,039,731,296,159,282,350,198,274,702,110,175,
356,706,408,359,725,716,027,865,630,333,407,779,541,636,816,171,037,853,626,
960,073,202,712,901,564,866,949,667,687,212,591,273,365,135,708,945,628,831,
664,552,527,129,685,881,912,434,478,774,959,923,620,455,812,543,249,670,943,
189,096,156,457,560,703,518,235,389,551,392,402,924,192,062,547,247,929,157,
563,046,659,624,561,262,335,058,891,377,441,060,255,500,635,135,833,431,370,
816,941,541,920,033,135,316,874,454,960,420,979,356,297,364,977,488,153,899,
927,754,639,616,487,172,101,752,849,842,907,139,700,123,180,622,902,057,770,
516,115,235,675,433,582,832,543,300,629,949,860,099,334,486,036,798,105,688,
743,438,876,007,254,388,106,215,004,606,943,505,296,125,471,863,563,374,218,
928,518,197,029,981,907,144,316,071,273,424,842,037,898,105,136,979,697,428,
262,293,344,018,802,617,386,034,954,490,562,804,463,649,159,097,986,075,628,
046,977,238,918,307,055,710,827,244,049,437,805,927,860,442,502,981,419,688,
021,468,324,076,656,595,599,093,156,421,470,606,810,464,706,144,211,417,991,
977,340,370,582,920,581,266,945,351,027,677,584,879,118,960,390,382,192,560,
570,403,942,233,508,467,078,910,444,730,115,282,355,320,949,627,315,540,894,
707,211,517,093,527,013,065,816,562,449,712,384,478,056,215,617,697,002,539,
486,617,585,914,452,868,348,623,718,788,438,217,981,163,099,336,635,317,020,
105,863,283,425,104,766,572,309,027,195,443,860,082,978,717,838,801,825,409,
896,719,793,574,768,694,798,794,479,488,450,507,399,649,766,652,598,568,093,
052,145,690,174,555,284,354,938,952,210,577,367,071,533,457,894,677,799,452,
810,686,484,224,800,390,475,330,224,151,177,282,787,415,988,171,388,689,519,
116,307,989,796,399,444,992,633,907,870,763,849,571,451,912,531,721,745,805,
442,650,942,614,476,880,303,627,462,080,320,877,262,868,998,238,933,941,700,
172,811,854,301,695,030,422,703,745,639,475,834,941,017,497,534,973,980,405,
004,752,740,519,765,072,760,467,269,950,362,721,202,517,981,925,118,923,133,
255,932,075,342,123,152,469,168,499,960,591,596,450,600,004,760,727,546,978,
245,181,469,423,355,976,192,175,986,118,824,971,391,132,819,378,787,702,279,
034,638,239,864,268,064,897,281,038,522,210,406,758,411,460,116,484,712,823,
776,112,084,688,333,175,328,038,769,293,399,447,804,588,916,583,407,026,359,
875,687,184,155,223,752,431,371,974,660,679,580,539,274,378,726,736,634,604,
277,691,903,921,861,414,509,909,344,997,022,541,520,170,684,505,540,367,921,
488,005,685,970,785,298,240,811,784,144,204,246,795,719,706,479,086,883,908,
927,880,516,013,602,525,611,607,273,041,032,659,485,784,521,335,677,053,521,
764,431,892,302,017,528,553,634,167,497,216,332,158,950,972,524,687,794,742,
198,973,918,485,479,815,349,004,057,529,210,726,715,025,005,373,600,508,994,
972,204,842,888,833,207,684,947,954,487,095,438,224,431,387,789,154,033,279,
142,056,067,472,842,198,076,044,618,273,672,848,338,293,264,714,519,962,249,
310,630,235,320,891,794,260,794,142,300,899,820,995,855,464,897,025,977,151,
022,107,461,933,846,430,201,816,417,880,531,747,054,040,360,546,178,694,560,
795,979,726,379,918,613,248,861,093,120,365,110,644,777,305,250,609,406,802,
272,964,596,770,395,329,734,942,765,714,627,639,473,571,382,970,830,172,960,
397,057,565,171,760,879,011,887,905,908,293,708,347,939,463,678,133,908,017,
156,395,088,030,097,677,661,440,188,022,242,902,616,847,795,444,590,545,544,
492,802,802,753,664,088,791,065,388,450,505,707,041,812,796,557,971,585,851,
560,193,782,064,826,062,733,675,080,068,965,000,295,597,821,448,781,663,152,
631,258,256,643,484,581,656,315,600,217,510,434,161,848,924,047,511,028,972,
141,641,018,488,725,228,888,950,905,128,042,770,320,641,817,673,058,142,101,
087,100,596,130,347,323,023,704,461,133,956,917,157,248,798,635,163,684,803,
713,311,193,401,304,396,930,818,155,706,986,647,744,156,455,165,854,860,513,
001,607,854,125,619,407,833,368,030,572,376,476,699,467,592,046,261,927,626,
746,545,754,613,072,056,570,964,847,910,499,826,990,093,365,134,769,395,916,
214,243,597,918,541,510,502,724,833,738,756,437,894,227,907,141,826,736,810,
182,121,674,173,742,944,212,074,218,638,340,982,867,283,310,516,696,602,489,
373,712,005,528,910,479,275,806,240,676,240,477,444,137,393,948,443,816,431,
449,353,444,659,988,014,012,743,733,575,453,280,916,464,022,565,198,823,057,
042,679,912,932,205,133,059,283,561,532,217,276,846,471,252,691,384,154,261,
749,090,280,664,531,311,380,413,904,369,343,567,167,679,797,703,308,007,749,
441,330,776,895,376,722,981,823,511,603,269,085,782,608,438,095,088,859,776,
402,909,419,774,918,914,407,197,445,908,575,728,161,836,780,232,396,760,369,
540,297,449,198,248,916,132,971,767,060,125,395,539,570,448,780,403,629,541,
203,109,693,851,261,238,485,710,371,013,833,047,361,988,236,299,098,852,026,
304,985,539,291,912,323,141,456,240,893,855,641,046,039,277,340,101,483,329,
545,495,587,302,649,711,846,226,001,038,794,859,561,800,948,408,421,151,435,
469,058,451,684,596,833,877,145,451,343,077,878,083,462,337,742,176,427,167,
646,741,500,519,492,517,082,378,944,138,746,630,548,160,284,279,758,232,009,
998,796,490,495,374,658,354,247,145,604,021,322,884,025,342,973,387,475,888,
551,523,170,501,815,010,914,229,352,099,935,152,513,040,899,765,034,110,283,
675,580,818,432,555,861,765,606,936,987,118,098,938,526,018,149,933,202,998,
508,852,735,131,204,263,309,319,638,235,326,940,339,649,817,833,424,960,590,
842,094,015,907,964,009,389,830,243,784,312,365,771,627,735,750,763,525,723,
502,121,804,083,516,254,021,933,111,346,438,021,112,840,530,589,490,563,823,
199,186,585,341,887,603,834,353,149,786,241,978,209,412,194,396,593,652,303,
242,249,850,455,302,122,177,612,796,393,167,241,544,453,026,977,777,513,821,
421,323,391,947,341,104,187,093,287,295,933,769,041,374,756,819,864,618,692,
462,477,443,437,969,885,404,570,068,220,116,906,812,976,223,764,583,807,081,
382,950,848,615,411,370,030,181,834,704,143,152,824,745,526,610,821,783,148,
865,839,193,207,794,035,667,306,410,234,358,615,605,911,869,255,809,485,729,
519,768,153,961,793,368,709,295,818,134,715,879,558,504,008,225,274,004,494,
001,320,746,418,703,459,362,236,638,151,683,669,189,324,785,072,765,279,696,
536,607,244,519,789,331,351,422,912,599,478,097,987,073,420,601,354,106,931,
859,236,466,437,828,242,024,714,363,783,899,184,342,539,526,518,716,928,340,
293,796,506,502,119,040,833,722,960,384,518,123,572,189,467,117,734,088,347,
544,298,150,527,657,851,162,603,783,318,794,028,638,521,344,308,368,415,752,
466,074,454,856,475,654,038,880,599,527,145,450,708,720,413,625,912,008,323,
471,400,820,793,241,548,670,232,571,957,983,651,776,637,528,871,153,579,478,
012,864,735,649,986,212,184,112,459,290,650,151,908,509,630,307,270,991,156,
911,726,406,948,107,534,222,711,225,043,429,769,585,238,466,312,669,714,159,
398,978,900,200,045,745,373,354,873,036,238,086,435,452,835,846,255,883,781,
229,285,828,138,572,876,203,630,393,956,325,591,192,243,270,989,872,103,472,
472,119,783,912,802,925,146,324,988,206,238,846,924,345,201,620,867,267,255,
312,830,275,585,630,572,190,019,825,500,783,734,091,329,652,490,164,063,049,
975,501,696,025,863,938,955,987,376,754,440,319,720,499,676,560,889,598,567,
426,081,055,964,035,208,605,016,398,165,103,323,361,593,442,411,627,283,346,
132,289,972,573,764,847,245,600,640,261,122,292,539,413,187,433,719,711,160,
090,458,637,554,756,675,812,569,640,831,158,016,097,777,601,654,680,126,569,
902,243,291,985,151,207,841,293,076,226,948,099,031,813,498,464,544,541,500,
508,420,903,273,560,773,495,056,060,013,762,988,617,314,894,069,000,022,669,
430,133,620,935,559,840,754,546,702,630,382,096,179,663,906,023,285,579,775,
854,726,824,656,420,949,496,800,912,987,194,403,424,087,511,943,129,307,039,
573,683,317,544,010,346,642,598,004,006,327,185,187,697,583,559,794,491,472,
592,943,005,218,529,424,666,298,802,568,617,814,604,209,711,272,883,314,451,
037,665,330,137,100,827,837,136,475,916,714,324,245,077,794,555,201,735,480,
534,369,714,449,921,864,522,505,178,422,412,542,871,938,934,896,933,008,219,
083,272,160,522,756,086,628,303,543,394,463,864,910,565,666,895,290,070,612,
577,133,924,569,699,787,905,325,480,394,243,318,787,015,236,872,198,974,940,
690,324,435,576,711,334,008,515,910,171,492,156,143,341,611,939,149,946,781,
114,077,842,767,993,130,582,036,340,028,887,641,185,421,588,153,545,408,009,
836,075,951,519,163,751,570,152,635,482,454,235,248,867,799,640,527,493,969,
145,501,391,110,713,226,948,846,034,892,099,400,212,744,620,845,317,716,021,
911,850,300,682,269,020,068,595,451,819,185,315,933,033,247,760,293,793,362,
724,728,497,495,321,108,922,488,342,673,046,277,950,736,139,438,339,762,968,
195,541,992,061,925,082,305,950,374,444,241,835,943,119,960,608,950,241,217,
338,437,867,911,231,327,803,878,062,228,896,508,263,216,103,283,669,134,083,
145,370,172,320,954,878,299,726,721,358,326,653,825,962,355,337,293,832,188,
169,749,337,167,115,505,646,430,680,779,665,610,084,710,234,377,614,056,956,
112,742,404,816,122,517,869,452,066,011,446,613,685,627,487,447,995,807,036,
148,273,846,707,939,280,220,412,361,845,703,410,449,434,239,611,017,487,233,
509,050,958,801,733,189,756,864,757,588,251,483,576,757,133,792,655,189,132,
883,198,827,002,690,217,237,877,963,999,016,442,645,850,426,085,860,456,253,
510,240,510,564,814,750,651,631,950,266,999,395,377,437,203,714,335,778,766,
495,314,686,155,464,188,932,887,567,340,882,341,241,995,705,437,713,541,551,
301,192,338,039,913,915,520,485,003,294,974,885,958,516,550,289,164,477,359,
414,340,502,381,567,177,067,147,050,434,291,872,802,855,513,439,459,924,806,
681,434,919,459,812,892,055,806,838,933,208,966,250,310,522,778,231,227,068,
203,036,079,694,100,217,970,351,407,865,947,869,268,439,171,994,143,338,191,
252,715,379,339,878,617,544,436,841,916,998,139,560,639,896,370,740,375,522,
135,689,218,819,977,147,199,438,379,464,616,255,651,215,544,034,907,338,732,
712,506,202,564,520,256,806,808,376,988,664,855,167,049,997,923,588,997,300,
277,597,601,954,883,490,406,350,607,939,764,628,718,224,119,462,987,490,797,
578,825,791,734,674,270,590,076,498,641,944,263,850,469,443,919,058,650,391,
954,215,190,854,456,095,784,563,354,925,080,311,320,386,837,100,317,163,267,
156,224,389,441,405,375,501,861,892,049,237,379,837,477,482,700,527,051,025,
806,668,527,295,145,407,389,207,979,477,042,435,263,149,243,405,185,785,468,
129,088,183,509,312,264,322,403,210,220,612,168,125,195,887,453,888,148,443,
850,531,143,576,554,383,549,022,771,548,386,126,767,432,873,974,028,932,321,
429,191,686,134,468,006,406,136,750,617,922,616,945,949,225,604,510,019,809,
738,353,299,740,753,109,631,551,949,484,289,085,489,989,519,527,705,466,377,
862,361,209,629,934,775,324,447,222,686,308,127,706,579,862,323,787,979,669,
069,477,431,645,550,651,088,089,762,746,165,671,776,028,790,146,585,536,221,
452,305,093,950,895,260,240,092,109,121,636,891,758,850,056,274,213,210,008,
214,028,042,145,648,014,837,380,202,688,509,108,222,269,572,249,581,928,509,
768,954,125,806,611,803,611,257,894,710,675,198,040,018,716,652,888,860,644,
556,531,962,458,013,069,071,794,146,453,379,594,309,843,647,297,880,523,257,
400,579,264,560,419,591,390,068,654,702,652,598,377,666,460,588,603,086,519,
290,718,239,017,976,215,135,248,379,901,996,090,076,216,973,266,326,853,879,
906,314,839,278,542,854,993,263,640,380,865,820,908,388,303,962,925,063,326,
196,319,423,844,358,590,103,369,953,742,129,309,711,276,570,127,306,802,389,
264,394,569,090,127,883,785,563,517,410,662,499,598,110,407,548,053,555,069,
325,278,373,915,762,465,907,007,357,801,847,631,257,425,698,365,396,215,234,
561,375,034,499,741,600,249,066,366,534,291,046,436,093,569,636,022,356,815,
430,257,764,146,098,553,166,100,510,143,564,622,381,519,763,816,372,722,998,
390,283,837,550,636,434,300,853,099,944,101,100,458,278,569,602,101,486,778,
495,757,095,983,913,047,423,242,470,568,456,552,728,264,122,724,377,962,204,
793,886,308,536,504,987,558,690,093,553,310,937,347,820,967,771,601,929,032,
469,940,828,444,250,035,188,057,765,989,327,288,579,169,862,651,444,736,350,
154,927,150,432,174,169,530,776,046,450,950,827,190,704,115,706,990,345,886,
624,943,419,050,406,342,906,018,463,407,882,024,272,994,264,274,540,691,848,
390,862,664,362,734,021,373,703,694,268,434,073,357,487,711,822,787,572,611,
896,168,826,485,449,004,332,603,185,568,054,078,611,397,668,195,728,681,915,
203,879,574,397,522,995,625,962,635,066,436,189,932,613,272,176,901,234,594,
869,593,413,786,947,353,534,110,142,518,008,576,099,772,959,286,045,988,734,
202,945,182,209,995,324,656,320,510,489,683,579,090,302,869,829,049,831,314,
748,735,188,881,817,158,935,990,687,769,464,859,788,524,915,653,694,653,148,
259,158,383,559,176,097,202,060,331,248,983,191,334,311,627,246,397,158,309,
243,554,990,215,682,060,992,841,056,170,528,287,270,724,713,948,798,079,111,
010,440,495,576,540,812,475,648,768,118,703,767,565,472,892,146,630,757,743,
306,531,146,699,630,473,282,720,841,478,032,425,240,601,330,526,799,505,447,
761,286,659,670,441,710,976,957,410,064,101,492,205,858,490,898,300,972,934,
446,885,014,732,651,442,945,417,743,696,424,230,431,788,155,367,339,991,432,
452,400,903,488,888,201,977,165,849,050,139,030,814,287,098,753,550,835,301,
939,948,856,837,512,953,833,170,861,482,274,902,474,615,302,707,345,056,665,
206,611,913,431,144,470,232,102,913,445,479,159,062,412,927,258,020,378,056,
628,984,060,791,283,414,557,752,717,957,741,920,227,385,018,152,289,607,215,
810,801,049,560,353,254,211,788,119,024,230,574,658,993,592,139,839,312,903,
951,815,297,857,769,935,192,512,848,547,478,244,656,389,156,110,394,257,248,
873,595,431,225,847,398,600,639,937,152,966,611,996,040,889,814,920,858,261,
194,562,226,995,190,682,110,429,687,299,870,306,936,949,735,221,809,022,752,
469,582,082,381,035,232,944,805,728,739,015,501,721,005,641,801,667,965,552,
470,944,883,650,030,169,233,945,029,996,314,805,534,084,172,182,536,045,822,
308,263,014,347,377,695,268,684,424,030,842,393,770,553,152,083,170,865,574,
970,779,916,980,627,353,078,100,132,802,760,371,834,896,195,206,947,776,900,
775,871,398,746,152,831,300,105,110,141,157,978,419,840,130,257,874,414,662,
178,641,290,658,091,175,771,813,238,730,897,134,675,887,615,925,265,540,164,
222,559,928,168,393,250,778,703,095,481,678,445,897,588,019,253,616,439,655,
696,900,913,660,395,015,653,509,309,302,922,594,970,594,079,764,415,419,076,
360,259,863,591,681,475,280,357,314,818,982,581,955,498,439,556,956,340,823,
014,448,381,429,504,436,067,379,385,886,513,886,472,962,387,569,215,717,269,
958,169,327,558,455,127,112,002,935,311,795,081,950,876,794,186,302,863,978,
484,394,467,426,135,632,375,196,376,762,069,290,520,244,825,039,261,834,508,
764,599,054,138,319,998,589,672,484,459,294,124,862,123,836,959,386,453,719,
165,872,445,685,964,636,253,806,527,143,864,663,057,731,771,259,030,330,362,
925,555,321,591,036,162,440,574,253,553,877,565,441,247,751,946,598,135,412,
320,931,293,162,946,672,161,001,945,003,438,263,333,729,465,583,255,183,773,
823,826,912,568,666,190,029,791,473,812,389,996,905,102,610,065,232,876,966,
234,096,721,960,952,605,759,631,461,662,840,707,948,275,334,773,870,427,911,
040,298,072,351,100,704,018,393,012,001,459,729,767,770,716,026,957,266,111,
872,299,814,987,449,474,498,572,898,536,018,522,997,051,035,923,965,659,881,
488,705,380,894,304,166,532,666,450,226,968,812,521,220,595,613,589,044,502,
342,836,832,387,984,460,931,383,586,654,142,158,159,162,101,442,473,995,259,
259,144,629,001,238,771,679,747,814,549,029,236,169,221,669,740,502,578,217,
425,810,321,066,676,961,622,999,238,567,269,409,614,812,510,641,827,623,050,
789,941,451,181,991,344,866,512,611,921,890,812,079,412,281,758,685,592,752,
425,736,899,454,875,438,799,098,109,602,054,931,829,074,883,978,231,872,016,
113,302,333,244,064,805,655,608,160,084,635,682,439,811,734,502,149,037,268,
028,519,638,904,640,259,474,816,245,738,751,070,652,536,434,988,028,755,872,
786,492,965,960,234,031,555,610,775,299,919,989,271,274,190,861,819,961,426,
913,216,161,447,435,954,223,740,200,143,700,776,238,264,691,232,670,096,892,
370,043,945,858,402,549,981,258,063,572,569,426,553,511,032,010,016,945,274,
088,191,593,252,193,906,136,198,896,382,958,528,983,882,757,661,925,156,584,
470,911,333,562,192,668,760,579,015,692,657,718,492,763,483,984,566,222,187,
888,537,324,600,640,582,558,312,229,486,505,689,043,858,837,633,672,845,392,
276,372,960,059,150,838,098,608,491,549,568,609,933,506,489,764,775,315,521,
049,685,178,271,794,692,326,489,715,453,018,867,420,244,551,998,511,572,246,
880,436,092,418,468,730,608,599,335,218,149,454,388,661,064,470,757,914,149,
792,877,329,544,432,147,000,291,700,261,734,919,731,802,741,304,833,883,226,
419,614,683,753,297,833,148,205,448,062,562,362,707,202,156,496,764,448,692,
147,737,651,050,603,099,637,976,192,320,576,364,445,317,098,138,396,900,077,
595,143,627,130,905,454,005,107,865,707,601,454,840,661,969,168,096,662,924,
786,654,601,736,039,732,365,006,009,242,922,821,919,128,390,285,612,960,653,
547,321,935,889,151,648,004,262,248,511,999,606,052,782,220,931,752,096,623,
665,253,720,093,148,304,554,783,593,114,115,782,596,537,321,625,918,252,534,
037,441,843,196,100,192,661,331,351,182,126,005,755,638,891,101,447,495,708,
018,806,460,405,011,526,924,608,088,714,153,539,876,823,084,775,610,015,883,
689,009,568,433,536,795,257,949,113,119,078,584,315,964,163,922,183,360,669,
677,756,250,810,016,432,864,925,100,664,351,375,109,067,770,402,929,118,490,
604,419,880,361,708,528,670,380,427,844,696,559,212,168,623,671,671,527,914,
318,143,205,585,459,378,508,711,422,403,856,805,923,175,255,827,861,682,245,
704,201,543,390,989,668,200,711,728,713,943,848,052,002,938,273,274,800,362,
463,885,046,048,015,385,660,236,306,330,832,579,617,695,029,014,737,767,528,
699,751,041,503,497,777,063,113,399,836,926,579,782,339,922,941,119,760,650,
787,734,755,029,886,542,974,592,374,354,523,240,410,589,420,121,990,381,959,
853,090,183,421,130,660,167,204,812,061,175,744,457,451,059,365,696,952,964,
397,859,132,058,551,140,302,966,223,671,077,234,475,076,976,315,057,817,967,
376,371,370,655,612,201,533,520,598,538,928,886,332,617,987,234,640,858,841,
276,275,272,828,995,080,750,951,953,667,028,226,446,563,160,488,264,503,919,
194,425,825,313,285,043,564,736,446,984,588,935,331,320,948,418,857,459,216,
318,190,700,035,153,026,236,059,631,892,687,565,677,475,120,942,962,284,229,
926,627,949,460,598,029,664,700,401,890,270,791,878,343,036,582,554,666,887,
533,343,549,539,469,267,751,022,308,481,532,011,724,301,902,447,258,407,697,
791,371,417,989,415,186,702,460,802,186,081,383,397,466,916,794,361,543,152,
736,952,037,391,912,515,583,251,391,321,699,552,783,014,137,838,421,000,456,
917,361,268,526,389,905,270,982,032,048,728,797,689,955,560,452,161,518,079,
536,006,322,577,757,742,885,583,929,458,843,766,817,254,055,286,634,183,656,
839,450,313,896,437,271,452,081,269,138,813,928,778,162,497,727,424,720,815,
433,357,787,887,410,452,236,795,075,830,629,810,464,879,959,729,251,325,877,
826,260,283,281,881,199,640,186,400,655,206,635,639,762,436,224,589,900,211,
361,664,583,805,480,132,005,045,220,503,090,942,902,886,456,749,150,115,918,
115,222,928,703,088,725,346,777,352,465,758,979,429,382,573,080,354,725,930,
546,029,237,546,711,715,934,067,369,153,627,888,288,277,750,784,232,867,760,
890,922,163,775,320,234,336,239,628,556,769,291,739,613,514,797,743,113,035,
554,511,268,608,626,353,057,493,834,677,931,942,117,973,434,625,435,496,012,
455,026,636,381,952,447,677,962,334,978,928,396,617,779,353,714,646,869,726,
626,186,771,828,909,833,016,440,625,841,827,981,937,708,005,431,668,350,997,
915,411,235,754,568,385,655,042,846,910,910,477,935,557,917,843,495,762,947,
290,600,089,084,516,426,676,104,139,240,583,053,460,524,327,859,461,380,215,
718,132,175,054,437,858,755,307,010,107,725,335,130,227,734,134,922,271,830,
038,588,553,928,795,696,657,759,921,266,702,386,536,723,498,987,411,213,522,
036,891,183,456,866,990,529,426,721,543,318,210,256,966,954,258,868,989,187,
947,714,040,504,990,659,231,906,033,542,504,795,889,793,192,961,212,729,011,
556,036,711,706,136,579,708,650,883,687,436,800,504,405,731,260,410,874,551,
580,497,392,203,965,422,539,875,857,285,913,230,124,462,607,740,801,334,487,
290,685,214,623,941,727,086,256,924,416,616,701,826,634,131,975,820,430,313,
369,678,616,713,737,745,575,978,040,765,675,813,901,639,532,430,153,601,322,
469,399,612,604,691,248,763,314,853,689,563,749,160,416,839,526,467,483,520,
112,154,379,393,101,305,411,148,716,417,913,930,595,896,415,808,600,681,349,
094,934,622,801,391,018,672,395,460,933,841,098,425,378,629,596,099,718,136,
145,730,916,169,939,008,658,804,334,588,795,115,667,187,637,015,471,191,860,
753,344,109,804,645,803,141,556,996,779,324,029,763,199,432,415,708,290,434,
288,572,589,477,590,929,420,088,033,063,912,312,872,604,861,649,656,915,905,
718,007,161,897,374,694,232,286,863,744,287,538,493,848,174,830,457,739,634,
988,338,393,428,074,721,200,885,500,793,605,959,656,255,988,005,504,233,489,
044,835,865,006,443,848,807,245,478,948,288,503,989,159,599,270,831,474,997,
804,227,375,763,974,292,011,678,626,235,839,837,010,468,594,837,639,533,610,
160,327,887,057,620,942,322,561,440,362,663,403,424,499,666,288,004,167,647,
651,147,749,791,645,852,707,996,012,736,159,903,503,804,801,276,712,281,488,
023,852,473,011,947,285,756,963,453,338,387,646,076,331,590,844,939,804,038,
769,857,863,670,343,713,969,015,860,098,394,886,895,814,704,365,989,507,629,
671,516,175,949,537,758,093,606,607,975,150,606,842,150,199,585,902,540,798,
432,939,063,808,881,721,883,430,040,524,025,274,136,342,182,861,358,353,417,
880,207,285,534,753,870,518,741,286,731,308,931,417,807,776,575,557,930,155,
977,715,303,150,132,481,447,302,345,448,934,722,116,073,843,252,392,340,319,
968,318,907,210,406,524,995,541,274,257,645,833,884,975,410,273,035,472,083,
694,649,649,972,293,353,830,680,779,710,073,203,231,410,367,733,405,143,190,
059,420,698,673,702,470,557,414,136,754,376,184,145,292,421,102,542,823,215,
209,713,370,536,708,586,605,895,818,553,692,475,890,346,708,773,584,174,509,
295,285,201,479,908,502,987,543,054,500,295,007,290,778,047,012,975,971,698,
027,106,306,398,096,356,399,574,948,786,180,991,895,054,698,742,481,030,916,
201,028,209,759,664,340,936,304,258,599,824,871,733,377,793,307,496,925,343,
168,298,411,370,324,210,882,294,697,269,353,184,434,085,581,580,527,599,867,
739,603,471,678,142,702,449,118,236,523,308,650,243,704,762,679,721,176,745,
090,009,702,908,056,795,909,430,953,101,545,546,233,628,335,347,569,754,759,
560,514,945,167,531,869,601,244,682,567,891,035,574,085,490,265,562,766,412,
513,274,673,022,264,158,894,714,881,491,059,896,667,232,809,629,244,107,353,
045,835,554,087,481,842,057,725,558,591,652,348,032,854,221,371,747,787,257,
137,845,520,862,935,990,857,225,735,369,101,752,414,284,367,712,408,745,895,
055,484,557,811,771,874,473,192,497,219,064,544,523,561,688,269,229,035,468,
720,751,272,497,788,688,335,056,147,271,898,134,886,394,484,813,742,503,763,
048,491,663,060,858,653,024,594,206,323,145,499,743,061,431,301,211,558,710,
815,066,136,988,043,626,217,573,110,440,922,939,562,975,416,974,056,434,929,
793,159,095,686,261,290,084,407,787,315,264,971,906,438,972,420,670,029,663,
513,502,760,065,927,610,742,946,051,582,715,371,427,943,898,790,475,248,091,
766,359,287,301,276,996,243,932,848,184,246,367,616,141,135,902,343,534,090,
301,526,699,035,574,582,737,821,781,146,136,364,048,332,904,798,888,065,967,
950,782,180,856,213,701,478,183,469,575,140,478,164,287,942,964,772,806,872,
662,053,998,693,470,394,215,562,018,363,119,573,546,207,949,617,704,566,741,
057,298,753,739,908,325,812,655,003,018,264,484,450,616,149,794,705,701,359,
053,839,521,976,607,389,043,828,226,261,285,620,861,499,257,604,108,027,541,
503,707,247,534,535,347,398,245,311,544,166,995,269,063,664,160,914,319,540,
989,408,719,725,494,976,529,012,278,236,381,812,635,395,859,232,504,902,322,
128,449,539,473,304,286,135,663,342,986,806,310,763,607,068,042,295,274,546,
540,564,246,580,022,782,454,988,725,109,881,318,017,804,846,144,984,600,958,
947,809,694,545,511,815,147,176,684,694,163,796,816,354,501,988,630,116,498,
340,333,589,847,690,877,020,961,962,523,975,421,383,850,255,883,441,188,457,
273,173,171,492,651,156,354,431,279,136,480,842,002,775,392,904,120,994,388,
594,896,112,751,582,385,674,054,112,008,157,454,659,964,151,982,374,442,927,
162,214,895,339,978,484,880,048,694,705,625,578,841,592,522,264,718,322,994,
783,439,879,311,538,769,123,794,222,803,671,216,893,515,709,980,926,159,702,
630,653,647,673,769,339,930,930,873,234,737,163,496,752,511,396,340,961,104,
196,921,270,065,587,350,974,909,126,210,308,332,386,728,493,315,536,408,532,
654,670,935,186,018,245,168,503,177,775,494,656,644,624,947,565,018,015,950,
176,994,908,902,556,646,456,286,829,537,664,688,555,095,904,953,671,570,587,
367,888,062,357,898,989,503,883,501,297,342,393,364,619,758,922,558,747,535,
978,388,345,278,786,500,668,095,200,746,152,502,152,595,991,957,058,425,648,
522,246,693,399,606,121,978,452,959,494,117,918,200,545,793,693,188,522,550,
237,056,846,001,729,872,362,117,973,077,350,646,135,916,036,893,061,530,699,
947,218,260,200,789,319,736,565,527,733,491,623,865,750,851,998,454,645,786,
128,956,652,867,255,466,212,631,947,689,478,220,725,772,359,625,217,230,349,
247,203,417,123,808,230,664,217,124,441,799,253,270,797,833,294,557,059,920,
656,166,709,099,939,035,625,017,989,441,834,936,157,618,492,783,331,338,314,
649,448,515,880,562,593,110,100,926,276,964,387,571,975,937,262,724,614,665,
467,542,894,516,757,188,845,281,035,021,950,905,035,465,581,218,022,382,056,
318,247,612,098,087,668,341,623,579,416,797,229,255,759,844,300,480,230,784,
175,539,640,890,121,382,319,108,844,012,774,755,454,180,394,310,840,137,847,
276,623,517,682,558,478,971,597,869,967,647,989,400,997,385,241,793,106,605,
456,101,778,973,667,796,219,970,069,973,062,037,610,750,201,894,273,435,419,
068,068,710,007,582,512,378,330,164,543,540,623,926,640,588,486,451,711,703,
180,465,190,187,892,674,031,579,034,488,598,472,926,383,660,024,988,503,876,
612,458,924,661,600,874,519,502,615,118,922,618,800,181,754,702,259,457,556,
528,522,289,861,653,306,428,824,588,072,921,096,967,610,107,691,466,890,550,
336,811,241,331,563,924,800,406,730,790,725,127,795,448,157,588,457,211,903,
546,672,440,116,873,762,156,112,737,467,230,367,742,997,112,479,249,077,913,
272,023,877,720,030,886,475,305,884,809,903,049,647,243,148,807,265,302,648,
167,049,633,501,392,878,667,229,198,233,128,220,664,602,037,584,850,114,587,
538,782,580,205,659,993,086,145,821,153,797,407,300,910,301,915,670,341,103,
164,381,878,716,983,302,721,797,083,818,794,269,931,978,978,344,545,991,463,
881,966,852,035,056,242,470,664,097,389,920,909,233,925,291,980,690,836,375,
607,592,733,590,494,276,615,916,250,020,359,546,603,235,215,940,307,499,048,
623,528,049,073,370,830,432,230,343,610,176,828,465,051,578,610,190,663,477,
456,943,239,940,346,362,998,783,520,524,809,837,552,702,086,170,026,620,136,
080,685,320,201,996,957,613,317,143,097,740,976,340,810,019,118,727,216,516,
547,575,706,765,370,595,998,404,954,854,698,410,838,563,481,750,778,564,352,
140,938,032,718,394,311,203,989,763,977,004,805,771,665,475,822,430,390,347,
422,929,923,720,430,613,983,295,203,539,433,511,501,395,688,439,480,777,436,
406,250,387,160,193,401,351,771,878,042,692,225,898,131,249,443,552,253,179,
971,233,976,199,534,284,015,195,398,572,724,808,407,113,753,911,346,281,144,
412,242,945,557,720,480,674,792,395,757,660,158,971,185,875,511,743,035,129,
924,643,142,698,241,364,190,267,284,091,294,475,507,881,946,492,830,446,601,
660,732,864,826,774,690,016,402,913,204,397,418,726,387,596,920,056,021,637,
258,381,905,710,957,817,934,943,848,475,187,990,567,643,028,553,584,508,695,
699,403,327,218,774,932,271,314,093,617,700,973,168,649,678,764,596,644,233,
514,296,616,477,299,564,670,917,831,294,413,690,250,677,074,872,642,344,453,
679,456,730,030,947,738,846,356,927,599,058,291,219,137,964,015,574,059,182,
863,938,165,854,102,893,326,743,630,139,543,034,531,990,270,109,631,078,410,
917,475,184,891,133,329,865,229,435,889,831,701,174,711,153,532,303,203,088,
116,718,653,814,080,081,561,842,316,928,701,963,730,017,640,721,814,119,187,
373,737,032,640,586,171,433,316,718,994,018,249,750,384,744,876,440,806,998,
871,139,713,093,029,011,100,407,849,923,327,538,030,947,293,964,547,142,773,
434,066,342,052,670,948,051,367,850,090,443,649,517,320,364,176,714,176,085,
032,722,174,857,339,319,031,418,778,571,055,686,704,053,532,945,193,505,861,
752,329,421,936,684,756,857,449,126,894,313,687,185,795,141,302,085,102,711,
097,070,011,420,338,094,345,242,227,676,294,281,401,479,731,338,498,703,764,
854,272,475,237,067,446,255,929,288,379,511,551,032,717,951,562,559,726,541,
791,409,714,929,391,217,056,962,553,364,959,010,936,663,158,184,896,420,168,
370,418,131,549,632,194,405,289,947,217,354,502,980,028,220,612,470,915,409,
840,711,951,287,164,256,083,895,753,869,231,794,747,261,957,487,013,171,003,
381,452,717,672,679,814,809,443,563,369,769,464,189,894,492,925,292,658,150,
154,102,459,189,040,929,809,556,118,060,034,069,699,237,903,312,050,248,507,
320,537,317,828,395,707,004,736,791,987,424,138,074,048,419,528,358,457,080,
927,088,107,631,665,367,670,783,857,464,617,365,171,030,338,233,714,687,397,
459,897,742,883,055,220,589,400,334,870,503,423,038,330,997,831,047,279,867,
276,391,361,288,663,001,480,544,307,010,399,527,064,816,834,544,040,391,164,
410,545,452,121,916,330,660,948,117,484,398,559,497,705,400,513,517,159,431,
451,599,168,828,465,889,151,316,625,228,222,125,345,727,007,174,465,805,158,
633,302,980,687,184,669,650,042,695,913,017,280,926,004,682,536,682,700,869,
410,276,988,771,178,949,945,434,208,114,994,794,066,128,356,699,264,080,263,
066,859,887,336,330,700,875,065,429,086,247,149,662,936,803,386,444,903,851,
197,210,108,598,183,212,461,379,249,736,923,958,347,938,317,994,576,373,449,
186,807,213,852,495,724,624,511,858,977,473,391,168,054,176,034,601,834,076,
061,152,559,766,307,389,042,510,265,929,349,837,689,452,498,199,236,980,610,
748,713,463,550,777,124,184,467,536,218,935,656,394,570,859,251,140,892,967,
649,600,830,714,124,294,545,362,942,585,306,807,136,421,999,110,401,301,789,
267,891,227,259,918,469,456,743,508,446,469,177,108,389,541,461,180,965,769,
136,758,275,426,088,251,005,528,113,578,420,787,186,522,008,006,948,086,030,
832,871,541,018,644,075,684,711,200,014,380,419,614,386,130,993,302,818,569,
933,679,639,241,918,457,483,878,183,767,511,498,209,801,452,116,086,472,733,
712,135,961,232,038,935,663,305,690,176,299,131,757,364,027,825,271,863,435,
926,509,023,529,160,761,849,093,904,395,614,602,491,134,908,989,861,537,003,
334,442,592,337,622,177,102,730,165,798,898,595,881,552,122,641,339,241,625,
127,266,667,488,542,989,062,675,796,280,757,464,999,325,139,971,312,405,216,
160,163,108,505,878,424,671,850,794,386,197,445,415,627,652,476,315,349,971,
023,897,549,397,668,298,121,953,254,568,773,945,690,433,211,830,347,458,739,
929,879,292,063,092,409,553,118,382,201,978,174,926,637,167,889,003,175,879,
678,077,032,480,664,011,546,039,198,271,301,509,584,750,093,550,484,182,690,
782,019,585,374,934,365,304,708,861,770,790,563,589,918,613,697,562,845,770,
606,211,244,632,319,166,026,133,953,670,831,511,093,631,220,751,905,313,477,
153,302,717,796,378,373,881,368,138,603,427,594,350,310,361,653,213,161,689,
116,498,325,425,712,663,406,849,216,318,476,957,350,375,070,564,274,914,542,
637,317,298,070,028,561,999,752,765,314,302,784,529,148,080,003,122,701,183,
362,645,800,338,899,091,417,257,752,762,949,422,816,980,929,362,523,773,042,
618,346,512,956,767,649,762,403,345,157,584,863,109,158,651,750,000,420,082,
080,708,800,575,942,147,386,795,655,866,586,249,106,505,162,175,316,307,078,
486,554,576,921,104,539,469,208,184,897,745,245,528,818,782,676,843,674,902,
286,950,909,569,295,809,457,590,312,904,906,118,455,940,487,620,670,230,145,
578,773,868,381,377,154,032,585,618,894,888,521,508,821,366,938,410,184,727,
530,895,992,478,305,879,181,494,980,181,996,875,158,238,746,385,450,349,053,
791,584,770,811,312,001,870,812,647,427,157,196,832,085,707,777,493,088,398,
082,379,623,063,410,766,990,647,578,268,550,487,368,128,058,914,780,182,049,
533,726,133,601,491,156,933,375,367,451,164,537,921,237,998,958,132,217,983,
799,633,357,237,219,009,760,524,520,775,964,479,992,160,099,183,117,215,905,
553,695,369,693,243,327,294,581,041,115,326,775,369,649,937,580,351,492,027,
076,176,164,305,679,627,612,310,059,174,586,755,618,190,352,632,924,182,866,
380,660,888,318,329,422,570,614,305,463,997,893,705,317,888,472,814,720,256,
632,997,846,651,192,985,179,845,996,639,476,791,298,539,126,498,394,177,606,
126,813,469,146,984,290,104,504,723,292,199,446,426,068,140,988,765,032,108,
117,956,833,428,585,071,643,359,694,718,626,324,702,990,411,232,014,741,663,
152,768,332,372,344,395,269,926,746,654,617,340,077,704,809,455,307,509,521,
696,604,692,119,499,961,524,417,617,043,186,873,712,451,793,289,256,876,931,
679,442,438,368,984,284,296,287,924,977,688,277,094,803,284,729,007,687,389,
847,960,547,982,549,417,428,107,708,348,363,771,753,684,174,308,309,505,410,
500,844,892,942,810,621,637,655,633,776,359,207,030,361,406,819,088,141,653,
882,865,158,930,259,003,704,025,853,033,427,523,382,155,184,613,102,686,002,
896,978,138,573,969,888,392,347,965,440,884,586,877,124,997,736,032,250,296,
791,026,453,998,774,764,586,321,134,071,641,650,358,137,478,917,468,985,280,
621,258,962,234,313,307,087,133,043,204,724,558,815,402,550,347,338,006,906,
439,300,659,804,029,724,835,236,433,965,062,701,757,280,634,454,489,907,216,
029,661,693,975,395,493,891,421,139,759,855,633,821,602,347,070,631,788,219,
483,772,679,732,531,946,023,929,968,034,725,053,575,818,569,630,075,166,604,
450,337,755,828,576,780,214,124,795,416,746,202,837,853,524,403,330,444,968,
439,430,909,048,506,403,543,398,425,681,435,675,346,673,508,302,554,785,148,
136,608,714,425,173,306,482,224,712,518,895,426,037,095,561,546,315,012,735,
010,073,059,164,459,832,569,439,300,004,536,962,982,796,273,206,211,566,878,
258,153,644,102,635,788,820,777,269,424,300,529,868,377,727,354,400,397,322,
239,634,728,021,625,886,236,478,410,326,164,077,161,801,045,878,807,500,481,
419,372,648,896,260,644,920,669,676,116,514,401,569,557,470,248,934,662,894,
726,748,275,906,538,605,460,501,018,073,287,596,984,088,829,703,074,656,687,
452,183,810,710,836,426,452,590,115,880,958,043,584,604,957,629,311,206,082,
606,374,866,352,046,164,590,766,534,907,447,190,598,847,990,876,610,608,265,
364,406,607,120,913,851,889,311,594,487,100,549,279,374,222,432,993,044,462,
201,631,429,609,973,137,997,031,120,118,550,087,580,656,559,401,657,776,488,
138,844,280,537,388,852,480,362,637,629,106,106,621,532,857,345,440,742,092,
450,492,658,641,250,848,379,143,098,910,117,724,953,142,716,980,882,412,861,
845,396,970,103,272,150,809,264,531,033,679,633,772,140,847,172,447,922,918,
599,250,125,204,872,958,551,275,732,085,596,980,508,947,893,312,772,909,435,
360,504,603,430,183,543,373,447,786,226,598,818,737,478,235,375,017,172,321,
364,373,367,533,840,876,998,723,388,475,288,223,163,905,561,982,194,886,543,
113,472,436,540,058,224,897,334,237,496,115,623,785,910,443,901,223,084,846,
714,139,932,147,996,051,165,432,626,275,833,127,074,533,270,334,968,859,170,
218,927,958,311,804,866,432,795,570,678,625,940,730,944,592,559,479,369,137,
426,628,234,012,777,165,771,186,925,167,543,884,093,152,212,842,942,311,354,
294,394,697,202,829,930,716,403,338,529,990,861,625,098,205,955,732,256,433,
542,901,915,302,223,700,832,272,586,516,913,220,660,918,475,776,677,524,448,
837,224,841,033,222,363,101,104,927,374,118,743,417,840,522,067,701,716,094,
963,676,138,496,799,611,161,626,468,955,481,318,566,975,434,017,102,757,655,
735,756,012,954,357,086,529,635,772,365,741,130,036,242,891,330,783,755,181,
774,303,236,278,263,927,974,055,453,141,058,126,482,706,971,037,003,309,100,
460,528,684,284,697,784,703,336,093,954,352,954,638,503,346,041,936,907,792,
103,050,478,908,776,359,323,137,804,241,880,900,801,283,413,173,405,567,403,
013,276,178,130,344,748,438,825,574,965,847,020,423,052,504,295,736,269,279,
762,538,209,708,588,174,192,511,798,046,727,613,845,118,088,027,981,378,048,
428,558,113,366,646,705,807,523,188,701,539,519,035,062,456,056,740,781,519,
474,307,529,132,968,927,412,970,164,132,467,444,460,821,300,381,253,426,001,
326,715,934,131,135,096,337,351,407,211,812,990,456,718,861,231,174,974,863,
366,405,739,654,522,082,630,904,972,334,781,471,655,777,060,910,103,854,370,
424,599,679,100,061,012,612,052,558,657,708,783,750,152,010,806,685,803,528,
514,627,032,803,591,080,837,132,067,284,902,219,133,474,072,011,378,652,489,
677,025,157,662,387,685,901,441,105,829,856,069,821,555,589,053,598,192,701,
185,543,761,870,153,371,381,342,305,841,622,198,384,878,426,179,901,433,794,
568,693,409,065,074,827,264,418,614,215,020,120,800,199,028,884,080,098,224,
426,368,934,972,412,175,337,820,103,752,934,810,463,984,377,160,530,026,234,
403,520,798,334,156,799,313,640,585,391,183,056,980,166,403,921,822,167,667,
596,356,489,108,890,185,124,964,370,562,808,903,316,019,970,677,697,765,432,
060,446,484,309,558,453,032,447,550,841,388,758,324,808,339,163,072,604,945,
094,519,892,421,614,513,823,294,420,132,496,357,785,752,710,086,663,206,741,
900,615,319,924,825,508,655,754,058,864,578,879,391,611,434,016,965,322,653,
309,823,850,564,025,173,830,900,660,402,778,461,298,078,099,154,825,953,191,
142,271,186,574,492,298,751,947,334,342,246,205,981,291,682,905,597,925,360,
613,899,020,838,070,594,588,203,416,496,080,707,788,937,088,156,207,870,779,
136,275,812,643,247,186,965,167,836,681,532,262,909,478,962,350,340,519,836,
701,294,843,430,582,293,752,363,383,225,170,112,836,798,572,377,341,962,844,
942,148,213,727,035,504,965,708,501,161,715,638,009,532,181,811,958,808,209,
475,218,703,966,550,620,588,056,267,773,961,634,251,991,864,791,965,519,952,
173,701,225,833,402,428,585,662,460,179,221,014,227,032,301,237,877,253,118,
133,705,367,477,575,573,625,469,628,199,530,625,978,398,234,293,889,482,623,
394,378,518,444,878,346,118,462,983,151,364,874,958,449,703,072,446,687,161,
796,080,441,485,302,483,696,501,311,025,712,138,699,084,733,362,107,192,294,
886,132,275,669,514,051,015,840,225,992,574,049,930,798,235,511,895,776,383,
713,543,574,537,613,533,896,379,391,726,123,416,745,469,515,104,505,944,468,
125,241,579,350,019,670,892,050,477,658,517,432,180,035,672,446,351,838,947,
661,064,765,332,768,837,488,654,153,447,970,131,004,761,362,237,745,241,436,
235,084,622,762,609,276,005,975,533,724,230,727,127,018,124,129,958,853,978,
225,602,819,687,795,482,308,658,346,760,505,508,200,328,480,944,314,177,156,
883,762,685,711,783,825,766,526,331,060,726,420,099,060,779,811,713,664,506,
351,385,739,140,399,646,408,754,121,192,883,542,159,063,567,175,869,343,966,
218,681,011,582,661,134,200,338,791,795,150,978,766,745,109,150,532,917,921,
181,792,405,270,525,152,728,011,769,486,935,487,172,113,105,014,134,065,420,
940,447,503,154,288,247,767,333,193,300,005,183,085,169,257,868,372,051,212,
467,113,165,485,597,266,799,885,612,335,414,102,756,043,696,620,065,435,087,
262,209,747,998,983,177,819,964,476,364,875,139,496,831,230,482,108,027,872,
344,241,291,416,075,977,706,970,930,170,924,622,510,769,140,894,282,451,299,
590,040,402,140,768,352,134,769,294,633,881,380,447,709,702,054,258,662,667,
949,203,004,129,361,882,801,687,123,638,388,302,057,975,676,248,632,515,620,
461,070,168,831,038,759,478,769,740,394,413,224,587,839,577,971,501,082,495,
619,128,369,033,896,483,291,028,994,551,873,325,494,344,294,395,907,426,422,
376,966,733,120,686,471,641,040,123,285,482,139,282,551,366,445,326,128,838,
217,764,487,305,867,841,550,175,689,717,842,676,563,793,079,359,926,642,876,
514,530,670,844,435,549,453,392,528,623,493,558,541,718,924,564,069,482,592,
453,908,440,031,672,177,340,541,337,979,331,507,099,306,861,491,930,539,339,
128,770,788,116,830,175,795,958,825,778,613,834,497,615,157,096,740,211,607,
168,809,537,412,767,733,560,713,642,346,013,568,159,397,344,712,778,317,965,
071,526,650,474,160,273,422,360,735,918,084,021,757,511,199,268,926,518,467,
465,153,846,131,413,084,928,130,803,512,517,821,315,504,590,025,103,309,282,
877,865,076,830,838,524,238,247,023,803,142,180,542,176,971,206,325,874,669,
239,465,193,174,187,116,671,078,808,436,330,658,475,240,592,656,940,695,851,
483,813,622,746,690,971,082,311,076,985,499,818,528,989,780,327,840,782,938,
704,211,310,526,660,062,200,480,553,734,854,644,401,659,883,004,373,997,234,
435,243,042,496,182,536,219,910,953,367,316,863,608,267,784,387,305,492,941,
218,323,554,695,712,198,138,711,695,347,822,105,196,421,722,212,715,917,832,
625,826,994,857,313,910,379,368,813,010,900,375,929,415,453,766,270,924,075,
438,800,229,990,943,431,482,596,141,365,959,383,406,718,819,095,543,542,159,
687,770,914,362,157,859,635,509,184,314,120,673,489,073,772,812,528,003,714,
862,700,522,547,799,347,217,163,584,317,258,907,337,049,974,752,038,021,517,
172,789,938,009,888,450,408,762,664,114,093,992,607,806,402,022,329,005,765,
512,721,096,010,590,160,831,452,033,368,718,229,777,051,051,025,274,428,968,
157,294,288,720,530,832,303,381,209,104,727,082,557,089,325,069,867,851,381,
440,457,966,913,162,725,573,613,285,699,548,200,665,995,788,308,158,464,476,
813,442,993,354,132,500,982,108,473,432,716,701,148,729,720,861,999,993,944,
314,645,174,695,807,848,014,231,854,725,381,656,547,438,050,435,298,648,332,
903,345,148,743,687,578,682,160,780,263,270,706,390,881,058,541,512,346,224,
691,385,020,063,840,309,967,839,827,217,911,848,223,338,158,234,012,671,854,
715,984,496,160,076,430,057,964,793,525,987,011,425,192,400,568,753,205,934,
567,884,017,254,522,048,537,555,013,595,130,557,218,922,323,685,543,692,817,
377,068,135,279,533,708,697,739,750,729,836,591,030,767,871,983,243,788,358,
324,929,468,120,609,977,347,453,043,932,192,846,836,051,581,817,540,050,787,
695,269,477,712,210,434,042,130,606,411,948,736,297,819,105,336,568,496,573,
637,693,160,790,075,208,024,231,184,857,595,576,826,975,391,787,875,359,857,
659,594,076,113,166,102,913,040,465,911,161,697,828,364,544,847,285,120,149,
815,606,516,439,538,257,893,271,501,845,924,408,389,588,505,242,846,002,577,
407,651,561,661,903,818,149,121,668,749,465,503,512,367,831,295,549,851,013,
448,611,710,765,019,609,912,379,138,451,325,167,197,464,395,064,051,499,731,
179,365,763,546,541,990,855,085,046,927,638,817,395,728,219,236,830,981,617,
233,902,476,883,233,470,608,315,239,447,478,039,877,643,685,313,301,159,521,
471,382,222,692,785,574,323,953,171,581,419,852,798,693,680,053,664,721,989,
922,803,213,570,312,868,369,996,425,191,004,258,976,377,092,604,518,758,593,
439,285,971,192,249,007,928,424,846,251,657,736,197,210,071,732,428,597,884,
145,027,483,689,334,284,563,911,972,112,121,528,131,268,504,487,672,719,219,
328,253,637,513,540,976,280,059,737,032,383,136,318,161,084,573,647,705,465,
643,678,091,294,100,479,234,478,277,382,219,170,942,739,621,448,943,646,486,
265,048,017,976,254,758,837,505,946,822,951,279,874,437,670,953,509,983,710,
649,353,127,584,309,367,065,905,785,713,484,185,562,062,429,407,027,317,721,
379,131,188,613,104,131,842,453,923,757,754,650,425,718,211,163,814,303,707,
335,248,781,190,186,802,670,381,534,774,856,091,509,475,215,952,495,935,916,
961,891,261,234,662,048,033,792,608,647,659,364,037,828,121,007,479,842,815,
263,122,104,471,955,420,508,657,564,891,480,157,517,387,796,502,071,327,889,
624,145,888,863,349,282,771,602,237,379,979,825,442,390,130,938,660,724,155,
790,012,462,031,044,139,590,707,118,032,061,897,242,883,152,361,795,747,587,
813,526,131,928,899,417,952,023,591,034,855,343,798,107,950,950,835,389,336,
191,603,752,066,702,425,204,426,343,039,499,395,514,746,426,772,436,983,121,
860,548,770,886,204,256,925,296,598,234,274,816,430,367,951,098,285,561,195,
161,914,493,426,377,477,840,013,324,622,512,266,565,133,612,663,894,540,733,
343,230,352,595,048,774,709,776,363,751,172,440,231,394,211,517,713,852,574,
313,321,333,581,178,701,828,843,681,697,781,848,110,539,465,810,013,734,958,
015,902,134,425,173,627,938,417,140,509,409,548,916,054,531,480,804,313,085,
487,089,474,848,270,524,952,908,692,681,071,161,885,238,407,632,309,200,170,
324,419,501,685,997,135,102,432,412,641,715,778,848,773,574,027,913,738,799,
811,646,650,372,724,666,182,299,693,287,632,427,561,682,471,925,370,432,471,
844,155,844,824,005,195,818,500,283,254,463,320,816,216,170,127,391,289,429,
129,012,057,757,788,364,057,208,330,718,658,788,120,208,633,113,015,087,847,
164,120,979,937,653,758,675,252,638,979,755,043,038,988,303,872,012,482,822,
511,638,438,681,211,328,247,108,571,019,237,564,921,544,407,810,325,324,855,
619,415,469,293,228,132,317,707,959,692,494,474,869,412,033,810,962,322,054,
778,826,200,207,983,880,966,239,710,718,531,850,176,862,338,982,229,546,354,
147,979,704,509,193,425,200,939,804,443,637,207,685,015,723,709,666,569,495,
420,682,936,812,752,025,267,957,711,497,345,807,245,213,040,465,747,397,697,
951,690,487,465,063,892,374,955,597,579,333,767,962,098,882,607,924,955,444,
794,834,791,827,731,788,657,831,398,357,247,832,420,219,487,276,074,531,546,
051,396,538,868,003,374,512,573,550,942,441,818,525,363,890,146,649,090,310,
659,897,457,142,085,194,843,331,729,578,559,540,938,643,611,851,685,840,833,
159,143,778,467,401,335,180,499,172,483,723,436,972,315,259,587,195,929,033,
710,231,993,430,012,233,382,652,573,929,711,885,270,932,062,085,370,590,529,
720,244,469,950,194,715,701,445,328,943,698,722,269,224,750,928,447,068,416,
538,177,547,111,511,843,508,368,848,683,553,048,185,905,798,712,554,815,940,
066,231,674,403,672,285,137,527,953,836,645,124,279,657,571,230,428,274,688,
678,242,305,977,427,634,969,170,005,404,776,133,442,735,462,934,126,673,731,
413,293,526,851,967,619,978,468,163,514,770,349,071,603,073,181,346,692,834,
084,011,718,943,730,582,192,246,704,196,538,178,397,140,598,684,670,852,160,
339,542,507,627,182,700,269,033,665,628,918,606,225,656,973,856,636,438,131,
446,753,776,098,615,932,891,102,495,468,359,599,374,988,309,323,351,666,132,
764,432,487,391,797,781,317,834,772,011,644,721,814,835,248,203,715,310,927,
808,223,414,953,574,779,066,187,867,101,062,659,741,712,962,387,089,308,459,
691,774,918,744,385,230,926,661,342,111,675,429,085,053,215,905,337,540,662,
795,194,959,349,706,004,953,938,680,527,016,866,075,328,723,120,841,653,820,
513,337,127,361,712,638,297,056,402,252,050,510,345,461,009,117,305,390,665,
323,683,852,219,074,036,875,680,160,677,302,622,036,808,682,207,955,677,492,
906,376,210,009,929,520,786,239,995,228,164,596,818,030,400,032,398,119,945,
335,902,952,944,006,505,244,267,303,544,614,328,820,816,447,260,460,590,897,
278,399,799,161,414,150,808,002,291,710,088,457,209,709,385,178,657,207,048,
060,418,461,560,010,063,665,334,355,515,656,550,395,288,824,639,134,767,685,
290,294,713,503,216,889,006,017,619,728,604,472,279,300,782,230,604,113,021,
358,864,957,078,658,926,006,466,678,039,149,574,430,178,356,062,805,478,309,
244,349,606,660,484,284,427,033,482,044,865,541,314,700,299,274,882,800,082,
588,633,624,715,129,181,052,932,655,464,683,995,593,340,099,549,807,539,947,
315,052,075,852,750,128,878,047,662,079,695,580,217,954,925,952,571,201,163,
318,458,433,446,982,878,298,108,417,312,397,986,808,820,306,753,930,006,647,
486,364,056,887,480,240,788,134,309,922,368,686,778,544,710,708,558,311,402,
728,200,947,043,809,812,143,918,898,920,684,930,469,612,780,951,932,372,102,
977,414,939,760,684,515,505,189,118,605,043,734,440,698,959,316,718,213,931,
606,317,148,031,669,472,481,471,427,406,172,501,832,155,722,059,300,437,452,
971,752,875,692,841,567,256,093,909,216,894,221,345,971,308,219,901,103,381,
229,478,703,077,388,087,561,393,048,918,880,728,776,058,878,607,075,121,636,
738,226,905,955,437,387,199,449,043,518,824,832,845,846,900,211,809,847,604,
773,277,656,112,804,656,385,948,446,234,199,094,319,739,014,655,457,917,300,
362,187,048,475,027,367,675,207,365,248,654,724,124,606,705,179,702,817,349,
859,087,427,162,019,706,110,156,698,166,401,272,487,856,736,883,448,579,028,
355,698,972,488,290,027,092,678,441,261,539,257,894,665,754,249,842,708,740,
501,238,785,051,044,213,588,057,502,343,320,011,929,601,003,977,590,667,739,
405,463,254,439,227,618,802,869,001,553,479,610,450,662,019,681,136,772,812,
908,531,911,674,285,471,544,899,707,754,955,000,583,451,740,160,884,736,863,
897,262,393,464,381,837,112,906,098,385,676,718,139,972,295,582,914,168,446,
770,997,504,137,522,760,849,199,138,464,661,441,379,625,599,180,897,356,074,
267,438,024,949,108,183,826,110,084,477,655,363,378,655,678,598,510,219,435,
916,405,959,110,496,586,330,658,573,853,731,787,002,628,177,289,287,795,070,
341,203,136,454,424,643,656,441,123,691,400,818,497,373,573,073,007,237,347,
412,654,422,033,792,719,663,277,969,319,826,307,063,203,940,380,572,177,317,
943,622,335,060,441,233,346,811,944,274,861,863,267,226,618,153,634,167,508,
524,563,429,101,143,350,503,483,967,806,095,437,736,668,670,909,753,170,318,
428,077,617,101,322,792,414,706,088,494,128,122,397,993,814,429,256,949,003,
435,908,050,132,314,060,527,284,184,679,895,198,669,079,771,004,462,447,650,
763,367,546,125,543,869,137,805,993,189,940,830,276,335,253,818,701,304,782,
984,371,963,935,635,478,240,592,514,818,362,360,150,681,766,569,886,193,945,
936,953,801,103,761,939,155,361,819,415,764,652,951,451,740,972,250,225,732,
015,081,083,994,161,355,609,049,864,734,796,204,561,887,815,088,771,284,884,
785,373,158,050,586,548,370,704,948,389,553,185,023,101,538,588,857,911,760,
100,633,415,844,362,034,673,857,068,823,033,814,331,312,975,729,835,005,777,
163,080,882,796,246,935,072,771,864,263,794,593,370,298,359,794,229,598,502,
100,461,035,697,536,275,294,674,307,583,953,440,234,347,951,938,739,388,625,
817,310,406,579,404,140,918,317,150,674,019,905,315,975,399,568,156,339,281,
722,705,805,253,814,040,520,337,440,633,652,597,577,556,421,845,967,525,532,
309,341,949,968,322,816,692,651,745,061,926,936,459,505,165,080,671,034,904,
507,529,926,143,348,709,213,066,143,819,354,340,176,890,772,624,451,625,930,
829,498,627,692,040,341,832,489,859,843,262,673,604,525,022,468,520,134,243,
946,227,798,451,336,681,052,440,673,253,171,993,332,427,415,632,326,699,108,
501,237,270,958,478,686,063,446,981,657,015,214,452,839,363,254,010,279,818,
418,935,951,167,801,303,899,401,590,066,849,259,046,306,088,831,602,791,625,
759,563,992,259,970,501,928,664,633,298,416,305,670,660,219,684,830,590,453,
917,336,564,167,424,222,417,814,400,008,393,861,388,154,624,568,531,960,421,
864,614,381,259,071,004,403,368,635,760,939,898,722,598,869,336,744,657,525,
919,189,425,599,285,926,474,526,255,351,970,366,265,717,463,159,630,053,547,
884,196,034,203,708,943,195,712,602,817,052,348,623,127,251,303,439,735,452,
198,578,390,018,779,365,285,741,084,289,814,144,207,210,241,728,547,577,250,
954,247,875,958,272,122,052,526,495,742,194,869,796,091,908,466,092,535,403,
039,733,479,054,272,861,704,155,813,444,202,348,547,450,139,259,754,882,093,
720,132,491,105,322,848,256,927,325,722,069,147,271,902,085,717,058,359,931,
056,894,915,367,774,386,386,179,168,781,947,021,915,019,499,517,322,614,061,
499,734,184,270,652,477,103,955,948,550,077,007,505,796,796,818,270,684,376,
942,257,274,019,542,085,833,928,446,523,875,161,175,032,830,388,078,073,699,
604,814,841,698,398,229,320,935,521,906,228,668,030,747,671,717,864,954,310,
775,594,649,528,758,159,708,990,042,900,026,687,412,385,383,736,962,427,312,
551,447,500,114,496,289,621,899,697,526,378,157,687,109,049,038,767,400,613,
549,656,629,624,255,838,172,580,048,537,480,364,379,307,589,510,752,275,075,
184,714,940,918,325,573,058,067,321,803,663,186,855,350,974,385,029,116,587,
630,745,101,060,860,675,281,506,063,666,853,845,278,454,366,462,868,134,411,
306,701,367,322,254,579,459,665,596,752,493,694,496,341,666,694,173,393,327,
028,462,789,050,844,211,861,157,967,191,966,009,961,090,727,730,621,830,860,
824,704,554,835,050,391,065,857,438,607,661,278,289,842,423,424,183,280,080,
252,726,838,931,777,271,756,733,702,572,550,588,052,636,385,393,814,323,809,
781,005,724,383,869,140,010,932,253,600,619,133,738,692,814,263,672,943,103,
652,611,284,008,320,974,593,739,409,884,758,082,091,429,829,907,528,675,255,
578,195,150,295,728,002,047,712,154,268,943,465,119,871,322,210,448,510,687,
962,777,213,333,373,760,472,154,335,481,225,403,605,160,545,443,706,963,430,
014,580,011,250,542,936,918,809,314,648,031,765,915,571,050,414,443,364,371,
579,214,178,202,081,076,475,600,429,428,164,339,780,243,869,672,841,946,435,
472,167,014,091,204,026,540,203,162,628,699,884,766,826,664,391,107,670,694,
014,647,589,813,363,064,392,253,067,037,777,810,787,389,741,278,045,858,107,
213,195,311,820,404,639,086,895,165,673,746,021,395,584,273,171,545,971,097,
488,927,994,264,708,246,844,475,257,154,261,630,344,208,737,672,157,558,534,
296,531,151,283,309,435,682,068,769,897,196,735,144,255,148,705,741,266,794,
194,588,361,210,057,521,571,175,410,269,623,095,601,869,306,850,271,459,456,
718,214,677,238,192,264,044,527,301,993,045,412,943,128,128,310,918,112,525,
594,802,248,375,289,329,482,048,478,910,618,699,459,290,034,945,278,205,325,
350,992,349,318,481,693,770,750,685,383,213,181,930,857,874,306,557,106,561,
353,888,875,549,318,156,297,969,061,537,136,096,922,784,125,347,419,560,474,
503,463,578,059,311,970,845,518,405,283,752,981,087,944,005,126,716,080,398,
174,918,419,505,961,848,340,274,204,810,185,683,003,574,327,833,337,751,624,
500,044,951,541,284,167,370,482,052,280,672,640,570,152,766,528,583,122,351,
469,549,488,998,360,738,219,710,968,171,299,030,476,807,914,766,820,827,167,
359,377,913,040,688,895,960,399,796,273,976,891,370,410,535,496,552,915,737,
081,256,274,991,205,750,060,919,758,756,321,461,326,978,717,858,896,920,278,
349,578,285,873,458,471,379,805,158,724,822,019,911,981,622,362,148,161,088,
300,645,659,041,423,396,837,551,103,678,112,973,733,643,335,541,766,163,647,
019,985,849,660,925,143,732,082,164,645,584,630,760,101,187,674,409,920,022,
139,492,052,147,890,378,043,295,582,066,976,462,033,585,779,722,931,117,326,
502,483,705,934,997,363,202,477,906,308,159,547,759,693,220,902,587,549,328,
934,774,206,896,446,980,859,394,840,196,665,884,858,188,592,427,247,542,600,
884,454,449,009,717,448,212,407,464,212,740,613,611,297,399,039,366,384,670,
800,902,870,996,755,633,470,235,040,413,885,931,282,574,962,435,818,811,346,
094,612,200,757,909,493,802,105,533,464,449,173,395,474,529,761,961,336,908,
811,561,260,441,837,950,886,736,544,507,599,665,691,812,566,779,652,636,616,
708,852,888,670,305,107,580,624,407,944,145,609,239,277,646,629,980,553,060,
404,851,104,102,284,251,236,392,318,868,903,771,011,363,224,922,384,847,112,
303,759,680,951,190,229,197,360,305,879,499,799,355,258,461,028,112,610,423,
338,021,673,122,849,354,429,831,580,224,364,411,564,616,450,021,014,414,138,
217,231,466,372,959,881,670,650,738,872,081,878,333,480,430,305,066,034,420,
571,645,162,154,735,519,271,476,970,021,645,267,008,423,753,373,655,281,572,
584,494,470,057,052,996,990,256,363,360,977,809,688,903,415,450,020,450,908,
731,749,709,601,917,026,954,201,519,807,266,798,938,224,857,509,460,194,994,
464,221,025,301,720,049,580,690,913,255,036,702,354,449,090,419,277,013,235,
081,240,507,268,185,669,637,741,144,348,958,565,026,257,371,991,594,199,777,
675,518,983,019,798,362,878,687,451,246,499,279,050,939,651,203,335,962,497,
528,641,296,899,426,872,359,185,259,558,562,550,447,958,476,035,799,683,262,
061,915,230,913,445,479,794,109,317,878,062,453,185,366,970,477,841,790,542,
843,452,629,503,617,696,767,779,263,036,855,249,941,971,644,688,112,733,806,
796,612,250,611,899,417,183,141,524,791,468,818,517,551,961,323,793,513,281,
060,937,471,722,745,987,377,642,407,443,428,183,040,360,179,428,038,854,350,
039,038,120,361,404,449,586,178,331,650,272,229,167,760,035,266,182,320,504,
608,399,752,157,688,303,995,268,161,973,469,034,520,243,779,520,468,418,832,
286,264,959,969,622,394,224,613,244,581,047,882,762,668,261,288,299,769,696,
470,544,151,887,366,092,260,444,111,391,919,969,527,346,803,364,335,192,526,
314,471,570,188,224,131,975,823,506,666,352,576,608,762,393,214,751,566,889,
433,016,114,911,858,658,774,290,120,526,364,948,315,026,108,715,092,232,068,
911,416,984,283,479,770,235,306,543,356,340,519,561,089,348,192,590,582,112,
699,630,270,636,010,172,751,574,681,790,747,572,647,637,791,067,819,818,411,
539,968,158,271,022,326,307,248,614,665,556,254,587,988,215,724,006,067,829,
390,365,948,518,699,384,616,350,567,435,184,101,101,916,916,411,020,675,524,
387,223,185,512,229,086,536,788,261,703,383,380,340,186,418,477,011,176,350,
915,436,999,725,885,986,323,928,839,484,301,077,929,750,291,788,156,736,200,
442,381,764,318,136,284,231,869,293,586,736,188,933,371,829,477,537,745,538,
426,373,903,728,470,914,914,856,209,134,539,150,138,172,969,671,690,241,450,
229,231,707,044,658,264,309,573,958,111,653,518,003,287,176,747,827,213,666,
678,312,533,793,643,572,804,942,645,786,938,911,096,870,928,566,012,348,705,
425,972,626,701,528,900,255,164,062,269,398,173,794,298,001,979,493,453,567,
025,235,313,100,785,722,428,951,007,756,165,761,780,096,554,606,623,511,521,
230,455,241,137,212,073,954,883,885,996,771,910,463,064,171,410,164,294,098,
933,769,267,167,610,322,755,357,287,050,909,792,486,032,310,881,482,998,112,
603,841,372,744,915,063,631,211,355,470,813,050,192,197,767,071,274,496,078,
577,914,024,499,154,481,049,451,276,248,577,793,032,315,458,493,840,791,730,
119,300,810,867,271,748,474,340,904,738,744,866,119,618,917,804,874,691,548,
128,951,182,004,854,119,590,474,616,241,175,820,926,923,042,029,005,965,576,
639,770,296,501,526,410,919,213,970,012,268,767,104,972,987,889,512,362,679,
739,292,555,740,046,196,830,632,959,523,860,302,863,266,074,124,086,898,412,
425,534,670,966,008,888,327,802,068,400,207,138,897,686,682,895,347,784,426,
755,886,405,907,948,395,414,565,070,475,370,416,478,794,338,803,016,772,948,
182,646,044,769,133,633,190,435,956,267,994,362,804,727,097,693,437,870,976,
637,899,636,091,491,791,761,646,749,483,819,863,668,961,787,477,388,759,137,
840,269,239,116,575,814,478,502,146,005,947,187,903,954,070,342,573,397,397,
717,893,602,189,922,612,443,854,784,151,658,272,409,672,329,481,870,412,047,
873,315,839,226,714,351,918,545,223,725,251,102,451,640,714,289,032,011,010,
920,494,674,085,866,130,928,139,980,441,297,894,880,928,046,809,192,251,681,
460,642,274,706,541,004,261,376,754,255,195,900,860,076,853,891,991,492,834,
448,770,865,710,922,869,973,493,597,810,304,275,449,057,575,731,469,053,729,
816,709,451,456,754,977,292,117,313,873,592,423,093,907,604,683,302,903,939,
516,249,639,792,766,715,590,683,349,788,696,010,694,821,706,378,720,018,552,
132,637,562,811,920,447,999,923,223,253,766,876,848,588,401,488,738,553,614,
812,391,095,634,416,719,817,475,844,172,256,471,969,413,621,386,453,453,504,
882,084,766,622,735,216,536,732,080,446,018,114,628,112,520,600,306,315,925,
457,819,385,439,163,703,951,554,329,742,626,377,619,615,428,768,103,310,542,
306,353,948,122,468,231,535,750,664,512,549,962,567,666,555,264,558,782,890,
997,319,050,398,421,139,518,873,642,501,285,509,039,491,356,523,766,726,191,
754,292,230,233,760,554,406,441,774,272,828,239,927,930,327,066,588,426,012,
202,417,901,457,345,387,051,609,432,009,026,307,894,252,705,091,139,338,538,
725,966,368,335,540,766,538,900,565,032,566,448,346,273,968,904,788,754,482,
788,943,498,018,374,378,161,994,007,112,671,590,674,450,461,428,843,813,041,
843,674,491,019,240,344,358,041,283,669,549,379,269,932,911,107,612,095,201,
325,854,588,496,602,323,055,982,379,062,843,706,651,030,046,636,619,675,543,
010,902,604,495,515,230,934,861,382,198,650,262,152,842,033,181,560,081,694,
819,752,940,502,353,196,213,294,831,681,011,414,603,350,974,452,722,178,565,
438,054,082,718,324,327,180,131,360,145,974,237,230,109,515,786,213,747,958,
827,492,798,299,532,114,168,721,096,470,169,207,495,330,762,665,980,057,817,
092,551,601,961,372,828,900,366,618,146,004,028,661,887,863,605,733,157,118,
639,149,916,283,204,486,941,864,585,167,014,807,926,926,157,634,439,170,588,
614,380,863,104,499,440,853,510,728,168,219,480,063,064,580,570,289,392,211,
692,653,523,009,152,935,027,710,031,830,430,504,963,970,892,150,108,066,567,
370,499,778,631,112,266,311,078,518,223,901,295,823,036,781,091,022,640,826,
979,046,455,267,863,607,650,921,345,431,820,243,837,849,246,912,877,924,143,
147,965,709,418,743,504,516,150,501,424,138,407,100,665,733,135,845,209,124,
390,825,733,633,586,040,581,774,785,812,490,516,627,235,471,554,786,591,719,
932,200,157,587,242,689,321,388,619,500,878,301,528,910,621,302,339,363,411,
590,234,324,627,476,340,035,794,955,914,163,951,570,905,854,212,975,171,805,
733,119,182,896,946,074,315,950,968,090,477,504,536,909,206,725,226,426,279,
028,796,883,056,323,721,257,062,584,036,495,215,848,910,770,273,333,053,343,
539,936,421,565,424,429,489,255,411,707,398,439,677,956,911,688,388,143,245,
873,142,222,664,358,777,213,312,066,412,299,811,935,207,342,962,814,119,465,
124,864,974,468,201,028,636,759,650,913,676,119,506,279,573,432,119,847,144,
235,785,894,379,901,525,771,609,189,390,092,919,992,469,990,431,132,436,103,
605,276,548,572,659,649,912,788,399,899,117,731,095,649,798,194,328,906,992,
516,964,346,244,343,318,177,911,525,459,217,069,588,073,471,611,441,283,949,
310,835,941,347,205,840,177,435,978,398,988,797,673,562,163,988,304,215,063,
610,168,669,985,726,775,214,803,372,980,747,435,931,211,313,601,742,655,117,
874,929,005,644,997,482,745,357,215,478,184,180,015,710,597,771,188,077,631,
572,533,631,803,642,756,786,223,528,605,637,868,466,112,949,634,228,304,523,
627,101,718,993,717,263,036,302,380,238,838,992,685,258,310,842,605,580,519,
074,432,670,710,939,716,480,519,137,757,324,108,513,331,528,893,511,425,291,
258,047,234,059,114,467,648,427,193,021,084,103,173,271,553,151,720,647,950,
147,259,490,963,070,891,730,045,899,962,661,659,742,772,631,012,830,049,238,
578,250,486,900,813,388,350,449,844,382,787,766,377,249,760,701,772,544,307,
436,138,080,634,525,069,467,028,865,463,315,935,244,615,359,358,293,909,621,
927,246,088,078,579,960,869,105,432,484,516,856,216,905,922,128,867,152,121,
152,035,279,256,871,396,132,018,210,506,753,405,394,360,901,698,570,803,187,
014,295,538,889,261,144,749,909,238,881,872,485,568,766,117,906,754,980,574,
050,292,183,703,267,659,897,406,793,678,910,834,026,855,249,527,864,512,068,
912,137,956,489,017,420,043,089,325,526,518,500,816,845,291,560,317,516,032,
132,837,998,641,078,675,876,552,661,966,535,111,609,086,145,395,349,159,322,
328,270,327,890,276,949,702,946,072,100,120,924,442,457,229,295,389,053,353,
774,699,082,502,372,724,371,855,607,620,206,228,646,271,826,158,002,602,694,
845,537,999,320,592,993,982,986,922,141,327,031,780,222,460,971,791,166,482,
368,541,691,387,111,897,320,822,345,887,622,386,561,608,971,012,297,983,059,
719,259,273,093,803,726,481,203,449,694,064,619,923,530,357,133,140,313,547,
099,909,088,830,429,574,669,805,766,802,845,070,196,150,665,272,761,341,900,
271,258,687,823,069,677,864,547,027,272,859,734,945,218,651,463,914,718,315,
967,301,879,894,420,353,788,516,793,639,187,427,073,149,161,707,138,098,780,
213,722,947,395,212,153,847,220,994,721,502,491,129,924,878,633,513,146,626,
426,994,113,669,031,094,920,208,255,104,186,463,094,828,308,953,056,493,902,
587,104,148,517,747,551,669,471,663,755,593,540,251,543,479,427,397,262,750,
964,477,290,830,630,115,766,548,476,017,175,085,980,445,616,439,856,069,214,
659,414,689,186,403,147,719,149,364,471,283,207,595,454,474,768,684,302,638,
439,808,423,433,496,997,348,863,827,613,546,759,423,368,284,675,412,046,078,
684,941,312,853,747,131,345,582,445,629,275,092,330,667,185,862,293,175,216,
481,409,769,128,783,815,551,263,851,635,960,302,918,211,894,747,784,185,470,
705,951,130,168,668,085,204,564,835,060,693,548,998,214,060,026,339,254,302,
082,171,704,047,049,228,545,630,963,271,536,729,010,956,600,650,605,673,374,
464,060,533,712,407,855,609,997,444,098,305,018,940,106,480,949,680,917,351,
809,829,202,386,057,174,041,980,743,302,102,273,907,486,819,596,413,781,224,
807,745,704,180,849,990,792,545,131,616,988,386,477,342,659,401,254,292,060,
671,719,901,311,337,528,723,442,774,448,786,773,833,906,450,827,573,341,098,
052,442,621,993,583,616,069,964,035,347,384,553,869,800,847,154,891,081,876,
741,346,595,725,291,021,539,663,355,383,239,027,031,263,945,902,865,372,394,
032,486,481,040,802,645,293,207,655,890,413,705,055,157,717,561,196,222,777,
340,590,663,419,191,698,741,968,583,479,955,704,641,510,227,849,414,629,588,
950,123,966,940,982,889,334,233,577,951,145,891,422,473,656,866,746,382,682,
855,957,561,568,460,943,990,450,801,061,996,554,151,786,135,145,867,144,483,
378,153,442,666,308,772,250,908,471,039,807,091,650,909,259,611,611,355,083,
557,272,072,075,373,348,617,796,258,278,710,047,488,928,326,461,436,544,492,
029,461,724,903,363,251,981,742,072,649,241,009,745,116,741,365,303,495,019,
007,569,352,487,075,447,604,316,315,845,363,255,370,645,915,802,586,062,111,
483,127,922,170,852,620,220,682,556,766,649,649,615,393,722,549,800,917,389,
157,410,855,151,418,045,929,917,197,440,106,397,532,693,462,752,913,100,286,
639,722,170,018,878,985,720,473,993,026,679,238,376,232,369,605,775,565,496,
858,657,577,817,216,780,425,846,518,833,442,497,441,374,908,793,090,588,266,
505,702,141,122,032,073,808,241,869,839,104,820,912,918,391,568,898,128,495,
934,356,772,287,885,283,603,039,075,534,677,885,051,264,035,274,021,492,141,
459,586,329,273,762,449,078,037,886,397,345,883,086,209,914,909,558,358,871,
503,466,849,700,288,112,927,345,422,386,042,274,818,908,828,197,327,868,597,
278,029,761,371,382,221,404,925,312,768,029,535,798,300,986,182,220,372,209,
922,431,398,991,435,124,308,475,913,471,436,261,008,199,744,484,684,220,550,
220,078,653,575,611,508,826,991,008,368,343,375,184,739,730,780,042,801,543,
562,132,309,823,696,558,651,376,960,731,565,735,160,328,119,875,824,672,083,
578,862,342,466,262,772,819,518,302,680,256,145,342,821,948,540,192,374,398,
521,366,290,569,584,639,106,396,828,631,603,471,119,313,548,765,854,948,921,
421,692,350,162,052,373,479,019,199,514,509,343,538,345,010,525,395,898,364,
754,331,242,612,040,043,689,449,669,656,223,770,254,614,010,091,019,319,299,
565,233,403,667,101,344,670,673,827,888,716,871,287,449,477,739,024,908,534,
918,545,000,272,163,468,561,663,118,472,756,543,095,318,400,097,027,016,699,
894,745,334,777,578,903,223,865,597,073,139,993,349,245,366,618,091,163,825,
771,952,673,984,154,348,027,524,684,730,281,686,773,737,029,145,053,294,397,
016,107,386,677,794,326,288,559,697,878,897,141,179,047,147,326,792,735,671,
556,605,906,987,635,406,289,054,821,492,403,473,470,804,850,100,728,969,430,
684,833,465,510,050,393,831,061,033,545,019,401,096,287,397,835,356,249,203,
614,813,961,840,410,920,040,790,535,438,042,745,549,133,907,872,298,874,027,
071,456,947,858,532,789,661,464,637,307,455,960,635,083,449,812,087,644,397,
159,660,067,652,621,811,176,093,124,626,303,986,894,502,441,340,922,911,002,
512,555,115,944,576,275,367,885,836,779,560,273,724,059,336,996,128,498,936,
627,371,826,343,897,445,712,329,001,330,189,155,696,915,649,185,883,667,162,
080,270,302,227,817,291,389,958,007,006,755,065,438,440,197,882,448,657,038,
650,861,341,012,803,364,008,606,506,114,671,773,736,804,129,161,070,440,156,
050,466,849,470,413,458,530,221,945,562,255,590,773,668,960,381,434,197,101,
849,703,037,514,610,361,364,315,229,833,876,932,845,356,195,151,029,350,412,
931,242,342,261,247,929,258,732,188,088,121,569,939,839,508,916,923,997,068,
520,035,754,565,852,498,821,238,681,928,160,438,325,275,690,414,103,385,475,
896,384,203,476,452,251,056,228,046,505,077,293,153,159,533,295,846,574,084,
353,004,479,721,678,847,246,393,059,546,679,937,882,056,874,609,865,770,507,
745,689,410,330,013,270,737,051,131,778,715,132,119,037,074,715,129,414,298,
043,483,621,300,037,010,729,939,182,365,367,343,080,138,311,113,167,371,517,
100,177,900,894,045,125,647,760,606,154,630,095,346,292,666,911,970,356,459,
413,548,192,437,500,043,544,388,456,661,867,390,817,899,753,470,304,051,017,
111,674,853,227,654,842,993,734,539,321,957,356,136,512,901,767,195,436,616,
981,814,601,494,291,355,378,654,789,759,663,989,801,710,798,265,284,747,942,
970,614,350,490,941,155,879,142,967,468,127,272,888,516,383,261,559,899,316,
438,204,187,254,953,049,504,289,524,208,282,944,642,035,024,558,834,542,059,
452,462,463,327,648,843,774,871,430,002,445,821,582,318,019,210,094,091,841,
989,096,862,086,459,634,851,851,701,749,725,235,296,717,892,402,031,106,302,
482,993,342,794,653,601,795,191,251,529,259,322,946,405,987,456,495,008,497,
801,574,741,300,465,528,638,566,569,608,293,206,211,519,980,306,230,563,471,
496,996,422,666,058,698,127,138,483,553,661,778,430,417,616,410,171,284,143,
011,110,733,711,964,732,050,457,773,382,125,068,546,697,775,264,741,912,230,
007,295,662,722,854,600,348,453,210,058,840,491,542,527,115,447,914,600,775,
181,779,527,838,711,426,280,535,626,888,664,377,838,794,055,052,935,827,969,
143,779,845,223,582,598,668,632,674,858,393,917,415,687,831,734,247,658,594,
013,467,089,434,910,299,664,416,982,591,092,601,858,395,576,358,787,686,121,
132,037,696,088,833,814,838,475,402,991,297,530,812,302,227,840,003,176,410,
760,782,986,838,994,382,654,582,721,811,945,791,741,194,994,415,950,873,413,
145,948,525,536,725,499,129,269,205,035,155,611,012,464,288,969,428,546,932,
075,457,210,308,561,778,278,135,312,737,964,997,274,129,818,740,587,612,520,
030,814,263,246,510,109,947,831,300,008,502,758,639,043,958,841,883,218,766,
367,877,717,518,470,186,615,125,477,513,854,512,765,592,241,517,438,452,467,
755,836,727,708,314,854,072,544,799,664,187,799,320,980,231,793,516,046,900,
780,649,752,961,720,011,482,297,174,540,855,137,062,757,449,634,279,799,216,
152,219,812,486,020,080,203,008,355,914,374,953,554,620,415,510,722,048,930,
315,568,017,289,211,681,051,959,115,383,318,878,092,777,463,902,391,158,047,
740,662,304,132,481,063,969,453,863,354,129,213,658,012,548,548,950,247,597,
080,652,489,920,775,472,834,704,877,144,121,349,301,342,154,494,655,195,210,
545,833,623,325,286,757,241,212,056,863,352,339,475,939,404,969,593,482,115,
234,907,427,655,942,091,929,351,754,111,194,910,621,003,884,054,649,074,394,
788,780,251,750,266,552,757,705,381,944,279,899,515,321,087,499,178,145,641,
264,112,258,683,986,574,489,131,186,252,774,332,629,262,253,001,510,846,351,
436,299,397,245,864,267,769,579,970,273,917,093,564,442,680,981,516,329,298,
495,032,228,163,538,396,063,305,531,736,833,486,145,746,906,620,555,299,115,
763,088,027,122,273,063,284,847,702,064,624,769,082,820,993,445,791,339,104,
180,500,907,425,715,607,374,647,126,079,878,497,498,423,567,085,502,409,411,
692,069,322,833,160,231,382,585,306,389,487,525,889,422,456,419,840,212,515,
878,408,456,754,305,760,359,899,248,227,005,434,365,740,489,004,457,165,525,
233,171,200,800,828,837,679,233,159,332,880,621,371,641,321,068,712,291,299,
013,387,454,131,785,799,252,915,760,542,538,251,454,171,020,860,264,445,929,
718,014,181,734,461,394,756,762,094,273,350,271,898,742,906,577,709,328,025,
080,734,664,401,561,558,251,684,288,825,828,394,957,900,614,556,147,265,319,
470,967,689,552,591,986,254,834,079,344,576,560,445,397,300,282,370,545,285,
427,675,206,307,949,115,652,891,117,559,561,050,320,925,875,369,462,487,764,
918,941,065,986,807,478,179,559,120,080,341,156,089,644,459,829,366,159,098,
087,833,080,483,325,503,227,772,439,697,167,538,712,389,453,959,827,728,809,
958,269,405,559,862,695,873,728,011,536,361,430,365,021,932,970,220,569,110,
112,207,294,090,658,978,558,583,707,304,771,189,392,971,143,960,353,885,642,
506,723,242,098,497,963,658,081,912,451,305,533,580,825,342,277,596,774,756,
028,277,396,848,400,787,030,911,259,221,640,692,506,450,684,843,898,081,871,
160,839,117,640,640,863,584,266,841,148,770,514,787,775,006,710,290,678,050,
593,619,969,398,090,099,265,895,788,594,086,478,179,613,572,937,739,056,099,
955,909,235,607,226,884,705,322,860,389,643,022,715,259,506,493,378,665,318,
137,816,421,003,332,660,147,383,800,021,214,996,308,342,038,169,061,213,282,
304,477,014,328,798,964,919,866,808,931,142,748,951,221,401,376,669,897,137,
607,727,912,968,967,474,331,457,477,355,581,376,536,159,317,889,803,040,420,
255,484,976,041,470,450,493,461,950,368,853,854,341,659,907,892,662,299,584,
403,635,780,332,213,181,512,694,287,955,784,363,933,235,003,420,615,901,638,
140,652,249,487,287,960,338,343,610,202,859,721,972,537,447,288,955,394,268,
648,492,428,660,507,907,068,045,950,688,681,676,412,690,818,875,383,810,064,
837,222,533,027,620,799,845,331,827,063,457,719,564,216,790,641,064,547,612,
735,696,100,071,689,246,995,386,115,987,768,415,632,491,432,061,671,505,276,
453,449,205,525,264,074,121,712,457,940,010,884,509,436,554,745,468,988,482,
049,842,008,639,626,555,832,335,964,875,236,271,261,815,336,809,929,144,288,
772,863,826,039,676,368,211,593,117,809,220,316,585,640,533,493,707,999,218,
488,636,822,026,442,773,935,452,174,853,933,573,231,764,441,447,716,991,769,
351,515,040,312,765,601,358,829,464,685,622,704,297,808,821,645,625,390,303,
600,431,463,751,001,989,690,938,141,137,306,224,290,908,711,386,859,776,757,
962,151,915,495,661,512,955,513,596,276,134,594,391,876,432,963,965,784,014,
321,020,794,177,833,165,278,659,217,062,549,412,641,869,306,648,200,352,539,
534,600,664,021,273,554,294,267,750,802,502,812,819,579,531,419,657,542,872,
750,346,762,535,628,650,160,080,404,643,937,687,786,368,552,713,947,025,588,
291,574,003,570,221,136,903,937,130,387,994,062,582,319,542,868,707,451,002,
238,810,439,714,158,114,420,144,691,959,539,631,878,890,812,797,152,673,124,
469,707,292,159,818,066,577,846,212,339,414,865,551,138,774,960,453,368,308,
136,101,847,410,587,770,524,821,934,123,527,093,197,807,412,011,238,441,372,
674,555,747,391,376,606,013,631,500,680,660,964,444,887,859,982,288,275,451,
843,349,316,884,043,476,774,211,190,437,761,493,076,622,325,884,725,733,312,
953,374,509,653,780,381,100,612,866,633,268,258,796,829,927,264,603,412,744,
869,873,379,583,435,096,896,065,862,857,718,405,311,523,506,126,781,121,001,
077,352,806,797,067,587,768,543,887,374,310,000,102,144,020,457,310,708,880,
766,423,949,584,539,588,449,120,664,078,843,251,015,500,308,606,515,986,211,
348,556,148,852,747,367,227,956,765,089,559,736,482,813,575,411,403,554,976,
261,893,333,086,945,351,739,157,093,144,211,173,154,629,983,735,643,340,173,
794,762,551,576,192,609,024,197,280,919,654,586,062,948,674,605,451,818,162,
656,338,790,283,757,176,271,505,734,959,159,976,326,942,426,637,463,896,434,
403,351,965,085,049,291,500,704,125,924,302,613,862,224,719,537,781,748,043,
936,982,392,938,389,687,528,419,992,989,488,886,802,736,158,762,793,058,262,
578,823,228,793,732,430,045,918,938,796,297,250,373,384,962,894,692,936,635,
521,559,078,610,617,370,568,168,449,337,624,886,594,809,083,520,817,685,094,
236,161,554,849,128,534,522,272,177,716,704,371,903,280,644,750,711,857,304,
233,704,641,544,145,060,390,285,465,313,881,840,066,191,757,376,174,380,531,
632,130,760,664,490,602,268,766,327,017,739,503,357,998,662,359,621,492,713,
294,685,811,949,744,409,376,746,033,057,913,140,451,575,739,271,729,955,999,
708,231,560,401,855,631,753,121,517,287,315,400,927,964,309,363,364,392,313,
623,818,294,775,126,435,709,554,335,308,302,581,267,766,778,861,486,561,637,
848,008,867,973,452,496,266,206,006,929,223,235,564,626,882,450,328,458,669,
163,420,945,280,488,737,609,480,614,657,926,876,921,501,252,999,099,718,161,
109,231,128,281,474,764,184,770,318,832,224,798,469,022,946,203,876,105,872,
642,136,052,337,526,765,105,152,301,038,663,360,857,441,052,668,850,045,434,
849,671,551,101,510,772,019,305,930,632,580,406,014,366,077,944,072,149,879,
908,358,529,767,514,835,019,031,183,845,647,884,834,956,060,487,912,298,557,
133,692,727,770,121,872,797,681,617,301,346,369,786,965,443,366,325,623,853,
759,747,018,069,975,667,319,406,478,164,366,468,277,062,299,142,445,021,032,
924,912,711,976,847,284,109,579,039,525,634,584,800,179,013,004,115,332,270,
299,193,571,703,752,565,723,060,668,951,291,283,185,648,653,276,465,410,347,
962,084,208,515,674,607,396,983,662,474,912,523,875,215,050,615,841,731,506,
737,708,313,717,038,544,245,040,151,985,218,332,843,049,102,741,281,639,005,
831,853,914,650,319,698,268,488,828,213,388,451,110,564,803,328,385,613,395,
185,867,276,108,110,277,846,524,518,088,581,910,146,113,100,186,239,131,980,
076,174,780,679,202,693,609,507,117,628,481,277,169,659,739,199,853,827,151,
104,623,760,127,388,342,462,476,217,841,527,829,165,396,461,576,898,970,446,
270,611,364,321,025,172,556,038,985,918,135,279,837,829,857,576,309,763,163,
582,957,822,863,308,628,241,956,177,435,396,159,189,579,005,293,809,611,736,
332,787,327,600,767,009,667,145,904,074,443,861,757,788,224,508,343,795,180,
673,422,245,398,956,108,500,896,698,095,835,731,306,309,073,538,594,814,485,
317,062,817,804,783,075,945,077,298,971,781,499,946,280,668,196,984,942,799,
157,086,236,842,574,548,894,979,468,022,711,953,269,637,131,187,809,935,035,
708,078,822,346,053,923,882,762,250,806,746,980,378,429,888,794,598,411,295,
268,566,204,174,777,456,642,842,899,284,511,151,539,084,950,661,839,561,585,
338,415,882,085,228,475,181,551,813,069,547,025,115,991,593,781,838,352,665,
363,378,604,058,640,281,287,385,103,357,403,338,541,576,534,345,063,680,647,
482,087,203,325,819,970,191,709,142,598,754,509,045,900,566,545,854,316,199,
853,593,917,149,921,955,331,692,093,429,925,615,744,840,124,278,843,628,278,
171,346,236,049,475,420,431,984,830,833,031,725,469,610,109,791,240,940,288,
954,253,188,033,651,372,618,683,006,200,044,493,935,653,142,701,467,954,148,
642,594,811,834,856,225,190,773,685,370,335,237,969,626,734,002,644,683,300,
494,462,329,252,499,671,808,356,798,928,202,698,981,432,453,902,645,739,823,
354,880,699,173,194,949,409,627,897,127,914,966,916,423,879,744,719,308,889,
334,155,528,258,888,283,963,789,734,325,332,175,162,511,214,720,057,034,327,
208,675,864,466,918,249,562,597,904,807,888,890,734,775,301,042,138,880,679,
532,503,174,942,214,098,739,204,253,989,977,465,206,101,715,411,536,826,090,
421,231,018,274,171,575,068,934,293,039,344,174,414,696,639,792,706,418,973,
941,290,748,795,216,830,303,853,093,829,944,363,489,696,184,152,696,805,049,
664,121,411,223,466,773,429,240,745,019,615,812,985,718,212,214,363,668,434,
972,206,605,439,904,606,348,913,469,180,161,370,923,119,445,701,338,097,005,
772,311,431,156,028,058,651,376,082,430,943,499,256,134,044,347,934,880,917,
378,921,448,920,236,336,686,383,461,495,928,083,899,100,263,498,889,798,567,
567,987,624,291,534,938,333,984,493,071,841,996,120,312,136,063,261,561,521,
613,765,577,050,439,831,794,234,841,682,432,314,434,385,451,994,716,387,671,
538,323,994,760,056,651,546,906,378,516,890,381,778,236,917,058,197,858,025,
719,583,216,741,090,122,407,037,252,949,126,498,972,619,702,454,592,478,732,
313,649,578,624,316,121,668,728,327,329,779,646,408,440,599,016,472,052,059,
473,831,903,196,412,562,543,218,627,725,923,355,518,094,017,165,085,596,710,
941,323,316,194,916,623,567,958,354,975,831,900,198,068,383,175,481,263,454,
189,538,205,251,059,769,163,693,366,398,450,239,308,251,320,465,180,961,546,
303,521,174,689,476,742,896,672,250,681,348,847,463,723,811,285,145,739,645,
421,929,567,592,941,710,095,810,408,254,225,531,749,839,096,836,253,799,966,
333,177,528,182,354,897,944,859,665,839,172,684,411,727,148,717,586,306,135,
750,063,069,698,209,347,602,220,129,205,731,822,134,447,166,923,950,390,556,
506,202,901,015,529,330,323,921,661,936,516,645,351,440,482,630,436,895,173,
196,898,609,179,379,455,748,240,290,223,694,158,720,256,302,479,958,750,857,
400,992,766,556,532,007,691,853,270,142,051,225,170,576,930,923,670,056,709,
344,412,905,750,428,537,642,071,521,325,292,484,783,361,386,915,139,784,680,
306,393,328,097,646,346,386,175,031,450,924,873,494,449,417,325,035,425,947,
380,173,799,604,598,603,887,383,433,002,959,280,262,385,032,234,062,369,828,
286,702,714,391,529,119,589,396,690,427,333,024,001,546,206,983,066,992,548,
778,521,400,420,832,088,271,582,393,263,837,904,206,400,428,853,804,990,276,
706,741,998,243,003,691,041,333,158,513,884,481,265,345,746,736,371,678,607,
743,054,488,239,143,587,841,460,324,353,735,140,554,642,969,113,419,496,670,
110,044,857,356,737,390,058,192,094,285,781,297,413,142,964,841,356,846,826,
279,055,440,599,619,583,421,577,111,790,047,331,810,993,422,389,420,212,562,
691,434,147,136,001,221,826,244,964,100,877,495,663,588,894,290,024,518,599,
225,091,347,281,450,697,057,151,863,547,291,129,470,013,202,693,727,790,472,
616,922,358,020,984,517,039,815,526,821,781,066,049,871,474,219,798,584,417,
266,683,319,974,089,348,380,574,236,889,788,849,403,722,850,894,170,520,082,
381,217,184,739,062,207,212,783,286,177,625,269,762,298,382,503,361,247,180,
317,874,659,929,442,570,228,595,431,005,308,984,647,900,916,375,441,029,989,
298,426,829,916,442,493,592,127,612,026,891,400,280,993,874,637,799,384,501,
450,032,713,822,939,554,924,527,291,010,041,859,618,250,764,854,832,231,024,
894,341,683,069,154,354,878,286,883,324,236,189,304,145,283,090,520,246,433,
599,869,816,149,821,805,406,194,290,405,642,626,759,224,392,086,563,170,555,
789,110,504,314,308,940,230,511,859,149,400,891,238,225,694,243,493,781,443,
007,395,332,065,956,066,640,864,528,878,321,768,522,757,614,295,474,435,296,
470,740,080,473,665,098,112,042,938,835,758,032,906,376,970,752,572,385,280,
582,477,592,966,256,344,100,439,146,553,764,800,482,308,030,046,180,602,060,
234,989,901,248,953,115,435,677,077,746,170,367,994,864,784,585,003,983,021,
161,494,886,556,705,599,372,279,302,217,143,255,787,494,513,771,556,295,504,
699,408,994,716,229,600,266,374,037,945,198,108,294,126,303,008,167,684,772,
323,029,660,335,289,586,987,453,515,905,780,667,788,470,317,819,010,077,414,
240,348,324,637,301,780,806,582,012,395,247,578,690,750,169,671,153,638,165,
308,262,875,811,356,311,980,480,357,812,561,421,291,824,768,951,855,066,668,
260,773,486,371,616,899,496,736,076,536,558,778,014,093,002,658,675,214,652,
135,648,370,450,638,781,766,975,411,717,254,778,540,351,030,059,071,672,516,
917,485,394,473,517,865,896,486,882,213,190,285,573,916,244,495,188,913,582,
792,552,093,257,486,795,308,200,701,770,246,674,857,322,377,528,726,182,060,
150,140,747,714,639,112,283,152,758,074,966,015,185,045,404,993,031,276,845,
476,635,258,305,253,425,662,747,451,557,066,455,768,417,527,305,395,957,359,
938,872,031,268,174,874,256,187,333,538,475,944,233,116,160,760,911,375,212,
820,671,366,585,523,330,568,240,950,745,014,456,699,482,711,869,374,265,299,
939,130,754,111,541,085,044,281,181,968,186,157,868,665,269,034,872,758,315,
004,123,072,212,448,033,409,824,949,106,688,466,100,112,878,138,307,735,500,
004,417,488,650,074,109,963,189,346,983,752,455,595,299,449,344,368,755,438,
824,017,495,195,346,179,460,433,202,725,993,498,879,042,845,832,358,729,343,
530,428,419,904,326,530,913,160,557,161,730,448,881,764,845,087,204,120,146,
470,005,274,903,289,708,438,580,118,681,756,098,186,950,636,260,901,129,313,
948,868,369,767,970,799,817,959,278,811,217,339,987,566,104,641,647,554,959,
244,263,845,416,956,354,106,676,935,786,803,232,894,424,396,900,993,215,721,
932,965,872,584,721,141,711,458,863,501,246,041,300,722,460,438,883,467,886,
414,039,510,802,868,562,883,369,322,270,190,610,589,116,710,340,712,042,294,
049,582,893,580,654,562,869,479,012,290,582,847,060,436,773,820,277,013,161,
321,702,011,955,083,411,876,635,079,350,144,881,058,780,874,008,693,300,633,
029,055,587,300,783,513,068,607,326,376,454,927,215,431,201,913,310,900,370,
912,795,044,205,174,135,546,713,123,034,856,371,538,788,614,882,255,741,603,
733,102,804,161,845,212,718,249,499,933,910,677,135,420,300,778,132,290,934,
011,739,917,593,033,611,364,712,557,578,273,622,074,994,255,714,780,368,486,
734,096,744,411,943,243,737,817,261,265,501,781,564,069,149,321,479,775,767,
061,072,952,893,286,693,791,335,471,572,660,603,207,724,674,971,314,399,878,
051,877,868,636,763,381,440,961,375,987,600,113,902,374,436,119,403,998,754,
322,166,602,325,480,025,217,191,797,530,577,004,864,283,732,026,702,795,428,
511,216,311,492,658,884,389,653,814,728,449,678,705,901,041,912,054,346,090,
678,482,593,147,918,159,559,719,151,940,947,670,501,626,759,014,186,048,650,
693,337,561,522,476,339,438,882,675,639,941,555,981,201,981,799,667,507,480,
656,552,881,077,643,035,748,318,461,328,141,110,069,620,780,547,705,213,262,
610,321,100,317,543,406,154,856,767,730,592,490,067,005,441,189,545,856,241,
261,964,963,154,351,240,514,168,605,654,979,109,290,025,576,954,210,537,103,
774,051,951,604,023,381,036,266,788,438,567,681,729,717,720,649,803,111,468,
402,608,237,410,772,577,432,595,514,490,006,839,019,894,982,394,202,357,090,
635,526,671,902,262,561,730,070,705,486,602,964,410,367,870,951,936,016,843,
075,736,492,403,122,261,322,600,090,681,133,307,697,119,625,054,477,441,505,
219,804,076,959,885,094,179,531,752,899,269,620,978,449,471,344,641,477,995,
893,068,152,688,045,747,435,754,358,580,201,787,454,840,525,899,923,283,446,
098,155,734,800,357,728,210,313,883,629,646,290,994,632,018,154,477,805,081,
814,930,675,147,680,612,001,152,714,164,030,127,136,057,386,077,978,167,020,
799,306,756,302,415,889,411,821,371,881,928,339,880,225,183,493,417,899,702,
553,225,532,688,877,811,672,475,695,671,065,295,417,153,433,976,897,880,494,
934,651,459,984,422,824,780,857,599,096,683,120,162,024,784,105,878,777,729,
960,449,342,842,065,318,964,433,840,825,891,525,643,473,519,121,600,393,402,
806,616,439,619,269,163,209,018,067,457,451,134,372,702,272,780,938,704,797,
380,520,918,268,473,940,771,055,722,225,611,818,836,100,540,109,174,201,318,
973,594,469,201,711,881,267,879,719,969,667,334,784,787,438,270,686,723,899,
122,081,009,408,809,163,263,106,531,997,592,160,966,063,823,053,484,529,999,
163,540,448,505,624,087,732,501,873,039,676,623,514,604,617,727,258,158,836,
595,718,425,316,314,059,390,301,368,553,057,590,577,669,806,069,529,364,976,
584,345,240,569,750,818,712,554,261,621,546,884,834,759,335,743,374,915,015,
903,967,234,690,528,407,800,295,420,900,473,579,706,232,031,624,362,485,141,
722,314,093,649,321,200,132,350,869,934,028,003,669,632,515,223,800,666,706,
976,811,761,350,082,969,842,002,800,613,541,387,873,211,387,235,762,994,480,
585,272,607,905,642,938,540,837,154,858,345,933,957,000,573,345,878,722,556,
520,399,388,342,898,210,153,912,232,749,449,571,472,140,420,838,745,519,089,
136,895,524,030,677,509,475,931,180,185,017,420,791,985,433,424,678,262,123,
529,274,707,401,623,261,515,338,572,350,923,445,853,429,116,421,614,118,510,
144,075,205,625,860,778,238,322,104,161,530,092,028,609,305,804,368,428,903,
487,098,532,371,311,728,604,703,018,043,397,575,543,878,921,970,262,987,504,
278,617,331,520,330,915,505,804,072,574,392,130,938,741,868,626,003,440,481,
803,465,252,103,405,223,272,009,811,766,172,741,083,547,525,134,178,851,932,
917,706,334,996,669,284,876,409,799,380,353,938,556,591,193,483,701,943,350,
616,881,745,053,149,567,583,254,034,827,200,828,155,182,765,579,291,872,444,
635,968,106,834,490,915,068,071,691,745,827,922,121,933,617,464,173,170,335,
600,473,680,244,498,530,463,286,491,985,457,822,478,139,006,387,267,730,712,
614,929,264,093,854,864,409,326,867,165,134,834,208,430,444,694,026,778,117,
267,265,241,032,823,751,577,671,691,104,094,398,798,020,257,865,621,029,636,
439,664,050,245,335,113,223,108,521,751,715,163,671,664,103,671,268,472,235,
274,390,149,858,750,761,193,149,288,072,265,503,742,811,671,355,624,341,648,
942,382,703,396,716,438,788,880,851,567,967,221,188,287,106,752,282,733,188,
070,644,347,602,511,152,258,227,266,826,129,887,038,166,943,008,181,092,236,
803,667,752,010,251,350,669,180,845,190,738,772,012,087,802,455,913,579,573,
860,284,680,296,654,413,810,799,368,422,904,730,902,282,945,428,497,561,155,
595,285,468,636,451,261,336,492,382,982,825,779,820,005,591,115,509,782,724,
350,671,445,511,684,630,781,412,290,914,734,953,533,902,542,507,090,286,693,
424,228,079,491,096,289,374,431,233,375,290,466,016,545,800,787,707,174,455,
855,589,301,269,548,075,769,683,840,591,900,122,910,255,778,876,970,686,640,
115,037,432,623,569,152,308,812,577,487,039,307,258,044,494,868,882,984,800,
303,191,751,643,436,694,594,284,849,993,760,053,582,432,179,582,039,462,294,
037,655,503,116,664,692,311,759,535,330,482,743,302,510,222,023,486,804,834,
787,522,287,605,538,828,890,390,415,164,129,527,445,926,908,965,580,053,636,
707,956,979,319,052,039,437,905,476,308,932,847,408,921,323,441,475,493,133,
990,874,936,563,709,325,994,216,352,843,133,611,520,932,427,006,755,209,906,
037,727,244,696,682,305,078,773,356,571,327,825,375,687,106,549,288,855,723,
239,276,190,874,527,802,040,006,489,027,844,332,265,620,219,430,485,218,290,
410,068,774,091,214,491,194,616,733,365,022,482,253,899,444,594,555,565,666,
040,662,124,091,003,379,213,266,153,617,390,739,358,930,863,099,030,471,892,
270,226,050,739,695,857,715,814,309,497,231,493,589,547,840,047,189,947,139,
000,779,372,247,815,990,129,418,590,671,596,966,765,708,185,488,840,812,005,
207,377,301,017,076,432,455,589,586,029,899,721,692,679,501,639,988,398,233,
137,244,756,790,941,437,512,890,835,370,421,254,090,270,171,256,625,346,335,
933,968,682,884,000,008,014,106,428,080,013,191,599,953,804,620,372,369,749,
879,447,329,141,172,652,583,867,165,918,585,411,075,985,065,119,689,241,300,
431,843,263,966,083,560,462,910,428,504,614,987,850,938,900,086,943,213,555,
291,216,323,090,169,474,121,356,622,939,607,229,964,455,065,429,977,820,236,
546,954,503,496,181,116,741,042,282,186,945,286,046,701,483,909,712,557,016,
175,315,952,847,496,121,757,554,318,520,020,167,060,348,106,114,119,880,678,
418,869,385,251,885,916,854,057,480,310,116,693,309,501,906,451,730,642,674,
540,358,053,921,810,037,380,486,655,517,622,348,609,174,234,704,861,486,028,
045,806,432,566,742,013,289,609,580,498,454,756,793,685,449,259,263,080,466,
348,282,951,186,297,758,810,472,892,694,959,294,349,836,774,349,946,191,162,
050,371,282,009,955,113,393,732,633,175,531,475,354,646,516,717,752,010,896,
609,283,541,694,207,925,317,472,537,053,636,940,504,800,848,912,876,247,350,
673,199,396,708,611,224,167,908,717,552,101,636,186,961,375,479,566,609,697,
970,716,164,169,205,308,707,653,155,998,819,292,746,360,280,409,398,784,743,
937,283,393,404,638,125,266,808,068,684,625,739,578,112,036,117,718,798,202,
062,543,584,756,028,991,104,412,096,295,174,336,093,481,898,467,780,274,608,
691,956,858,572,090,638,413,651,557,526,158,879,001,393,256,533,316,946,275,
639,033,078,819,258,890,875,170,268,238,734,678,334,764,019,797,526,354,019,
317,606,104,450,912,149,537,253,673,967,960,965,228,532,306,557,855,824,382,
577,289,873,024,470,797,548,780,491,785,908,628,843,299,349,337,980,788,490,
086,422,095,711,588,212,243,868,060,217,994,540,294,810,222,616,788,310,484,
483,867,187,982,182,717,644,191,298,520,653,514,777,334,025,401,951,316,079,
568,524,781,301,977,016,056,931,438,983,092,833,310,832,231,071,540,916,167,
261,675,664,754,988,963,464,874,937,839,342,577,360,732,299,462,912,751,172,
470,561,295,872,343,862,661,037,489,797,359,938,058,242,056,855,035,177,571,
869,962,868,382,344,277,492,953,479,280,938,571,226,332,652,583,286,478,836,
646,296,231,611,240,323,834,034,095,381,592,390,333,353,629,225,664,967,529,
738,614,919,796,863,021,719,092,393,484,877,217,083,917,857,854,559,352,751,
649,354,284,208,669,249,853,796,347,011,491,494,128,516,283,082,015,864,448,
893,654,215,321,681,268,925,286,313,081,394,136,310,968,290,485,298,459,145,
390,327,031,835,777,552,727,746,287,981,774,769,824,970,572,329,237,109,943,
227,884,729,638,151,040,178,642,904,950,798,130,837,696,926,129,980,876,065,
395,878,568,275,463,468,720,340,093,221,655,479,825,256,633,780,020,904,583,
077,095,388,674,828,060,668,794,783,649,904,401,579,539,850,139,200,002,265,
625,164,045,752,115,368,316,651,283,133,541,029,854,124,781,111,055,402,704,
869,137,469,505,170,464,893,001,363,050,349,092,401,495,516,481,972,784,815,
640,070,132,981,512,511,084,163,988,331,595,789,344,708,118,647,199,227,877,
298,036,052,582,497,359,115,404,827,957,037,678,293,983,635,058,936,325,460,
613,677,112,529,831,430,737,368,949,257,098,495,181,022,588,007,972,248,443,
207,536,331,395,171,336,861,653,881,408,340,148,722,097,434,806,521,114,236,
932,799,102,926,977,034,016,747,483,753,824,952,841,515,590,459,800,674,266,
536,832,170,876,416,470,482,914,564,845,128,715,797,395,035,752,602,187,532,
254,621,024,004,791,392,221,349,266,324,191,917,860,477,340,315,747,504,343,
187,775,863,618,538,648,769,881,883,810,378,396,662,956,800,484,282,958,990,
923,304,806,721,110,779,517,375,211,542,118,101,555,574,495,174,519,417,097,
349,391,360,414,399,930,790,745,079,992,310,085,868,197,757,877,255,285,703,
640,888,748,438,234,765,492,141,230,185,894,217,913,222,018,903,110,659,804,
782,710,162,924,381,948,965,584,608,423,828,747,690,468,907,663,069,989,890,
804,088,252,345,993,270,309,126,831,084,625,466,945,000,781,951,567,801,115,
786,662,998,168,313,366,844,096,834,902,482,696,272,341,114,470,890,271,831,
178,692,404,210,886,740,332,656,034,273,488,715,843,582,623,293,235,085,351,
273,956,379,416,549,336,431,941,040,148,021,279,230,178,168,776,850,890,514,
489,601,286,076,243,815,021,157,156,170,613,734,285,963,147,878,987,827,752,
984,651,258,764,937,577,009,562,429,719,753,187,255,753,824,508,381,933,848,
630,517,293,965,867,388,935,946,155,920,258,747,208,615,203,487,786,548,355,
055,179,068,015,957,509,642,561,969,983,718,230,965,144,293,213,626,354,504,
402,805,196,416,187,877,025,868,495,508,576,739,380,469,737,972,280,198,118,
516,137,416,147,066,950,668,708,811,806,030,842,670,183,528,641,279,767,465,
053,594,363,183,705,523,760,596,292,236,909,400,376,007,012,112,693,668,726,
823,887,682,913,083,363,703,186,505,215,112,727,436,290,887,920,370,480,872,
455,142,198,296,521,197,628,559,505,179,562,400,818,808,097,242,588,954,999,
838,862,052,904,758,505,532,603,892,169,955,900,457,091,620,377,449,701,229,
746,865,897,648,382,487,955,760,455,180,959,187,207,983,557,162,080,976,629,
800,938,692,655,237,544,026,240,412,554,111,585,957,884,511,450,332,594,927,
914,080,360,524,557,390,166,857,426,822,711,412,101,422,124,584,056,538,412,
641,020,865,621,834,408,642,083,900,215,930,960,125,970,440,299,126,931,023,
669,211,374,359,831,870,208,063,360,621,678,320,016,216,767,427,222,173,608,
823,447,253,302,906,663,315,000,383,258,409,632,043,142,550,384,006,021,981,
642,838,842,167,593,654,821,144,398,090,882,214,149,102,230,619,210,571,489,
382,564,981,119,515,858,862,179,391,049,935,500,652,206,692,872,146,721,243,
711,657,479,973,823,461,414,884,496,507,271,492,930,800,155,824,761,466,736,
401,017,076,927,396,889,394,625,804,688,387,359,784,859,733,089,557,767,317,
099,709,699,581,623,464,261,604,074,668,298,651,552,550,151,028,919,937,682,
428,531,952,548,033,525,347,842,116,762,095,154,800,878,902,273,475,462,826,
121,763,316,638,417,943,876,041,575,584,074,930,847,363,440,728,484,634,855,
752,190,636,837,240,704,357,453,492,090,454,978,342,093,765,444,905,763,010,
425,991,999,384,969,223,314,927,208,836,737,801,198,392,499,761,373,646,829,
474,618,737,257,456,096,305,373,018,295,788,305,774,957,751,775,741,469,661,
692,992,570,210,073,685,261,340,618,412,912,533,690,021,707,383,202,396,935,
056,720,908,099,004,994,381,968,104,241,382,176,148,551,777,455,838,927,589,
304,674,744,423,213,363,132,970,534,999,598,189,883,456,254,956,181,321,861,
473,822,152,242,455,159,034,999,577,190,286,117,874,673,032,236,035,909,356,
274,769,287,377,772,398,404,458,126,158,958,825,868,544,176,341,662,079,235,
954,880,483,496,177,008,085,619,401,923,622,846,705,630,566,751,700,251,781,
655,468,625,712,892,761,155,921,443,568,217,469,352,493,400,179,091,846,423,
324,503,630,825,076,023,566,348,767,744,681,905,184,909,596,446,968,158,814,
522,122,965,814,372,202,818,245,395,183,770,852,662,304,416,240,894,113,525,
141,657,506,662,239,351,355,889,683,473,429,300,551,942,226,095,620,198,820,
261,825,569,535,166,010,058,702,718,444,972,815,528,803,879,038,485,984,671,
367,711,107,793,108,999,723,805,542,164,384,330,256,323,979,567,192,334,653,
671,210,910,040,792,148,918,079,270,353,052,929,664,953,455,724,416,291,518,
828,429,393,196,226,526,966,332,094,297,535,049,013,713,930,333,928,523,028,
512,070,472,271,253,294,203,065,810,227,605,738,641,418,249,845,862,561,379,
813,616,207,479,143,339,731,773,120,253,181,354,826,035,292,041,434,584,459,
689,616,122,352,678,814,939,086,046,810,011,074,687,166,878,911,337,793,394,
910,282,532,138,700,986,386,240,188,634,730,060,736,061,962,782,115,985,959,
162,306,513,624,139,100,251,237,332,283,205,918,569,554,077,113,772,377,196,
392,740,289,029,401,947,558,640,151,453,704,656,852,919,152,615,608,165,101,
259,375,156,033,685,320,100,941,634,908,944,245,003,236,397,141,714,385,701,
775,099,612,621,911,047,391,874,735,000,546,917,520,282,272,553,813,270,553,
559,369,172,226,824,519,601,995,354,476,618,584,295,311,339,043,592,700,719,
395,994,646,202,558,966,643,389,517,220,536,897,379,585,909,220,471,675,350,
237,716,507,051,639,159,951,166,235,296,778,748,472,887,828,901,669,100,159,
709,447,225,496,445,486,427,302,798,136,286,630,919,406,326,586,057,160,323,
278,877,088,042,512,421,897,868,814,544,333,282,623,220,785,942,404,784,447,
270,025,482,878,488,218,047,046,461,236,672,825,405,588,918,234,543,073,410,
277,901,687,205,656,417,974,783,951,812,267,581,264,495,354,348,756,009,747,
282,408,332,569,914,236,353,664,439,317,077,807,967,434,650,541,189,427,862,
671,210,448,284,855,377,612,099,593,984,057,467,608,242,919,609,639,475,281,
316,302,647,536,479,364,236,823,259,960,925,471,016,735,735,092,140,066,152,
659,937,475,024,040,777,154,428,205,853,238,683,417,323,034,297,979,347,112,
260,555,644,089,596,831,866,214,697,367,132,523,192,856,366,556,246,408,688,
709,187,683,157,031,747,494,583,177,606,554,061,750,664,967,873,231,490,165,
402,937,333,734,879,222,419,084,212,227,855,788,737,230,116,684,283,031,821,
042,650,307,047,800,437,722,217,271,761,421,766,683,124,182,835,720,321,118,
240,943,785,167,910,984,329,670,877,238,647,208,009,363,046,266,455,243,436,
971,771,087,696,033,548,050,462,077,204,365,596,551,671,519,768,570,939,976,
224,494,290,391,015,556,412,372,611,336,511,471,207,816,482,494,403,856,083,
670,280,986,937,931,601,507,978,847,998,272,551,797,483,392,717,566,019,307,
521,087,853,703,163,502,515,005,448,295,515,022,238,941,316,334,429,828,006,
125,838,951,547,106,088,258,787,247,907,306,230,865,922,147,409,151,713,177,
973,712,928,307,440,301,264,354,265,728,240,441,991,212,858,353,756,569,245,
351,530,908,832,546,928,101,230,975,406,002,054,486,419,027,839,566,857,496,
980,545,152,244,867,508,077,566,870,666,011,555,698,432,078,313,553,578,440,
199,276,291,723,515,532,578,054,657,226,682,099,748,724,343,835,990,738,912,
814,249,650,821,674,208,522,924,979,381,258,153,807,854,643,934,437,358,071,
951,182,532,371,430,463,563,462,556,033,384,036,039,812,786,607,868,051,575,
203,642,566,911,944,752,815,447,935,112,203,156,811,126,230,466,383,167,223,
063,050,615,535,554,402,677,674,376,354,021,672,663,416,464,208,522,849,520,
228,944,521,643,774,321,001,223,900,427,656,502,982,591,744,359,537,507,187,
545,952,790,862,314,568,979,744,974,014,671,964,999,003,479,033,198,849,304,
288,231,528,599,113,173,457,579,860,531,601,556,859,666,294,245,520,957,680,
056,430,082,109,390,937,816,980,563,442,428,394,152,036,648,273,317,203,355,
798,357,001,177,663,983,952,733,566,303,272,582,001,890,946,008,382,324,321,
951,954,528,071,740,631,900,871,105,715,127,820,044,710,305,914,220,250,819,
181,055,260,157,091,097,693,229,941,878,463,329,902,220,684,953,041,785,008,
056,003,687,685,066,604,948,820,374,481,977,492,164,893,071,478,202,271,902,
052,576,904,754,226,555,180,966,510,411,169,662,274,503,129,865,009,697,656,
019,536,698,378,221,122,626,063,325,304,402,769,114,130,340,562,224,709,070,
536,127,581,321,713,901,480,811,616,839,341,965,516,065,699,480,024,189,660,
784,076,416,232,064,923,086,289,971,027,018,181,523,407,634,259,490,250,200,
613,125,171,256,946,932,990,842,808,475,883,023,502,260,387,591,978,675,659,
654,655,360,717,500,443,129,915,829,982,417,520,309,742,784,950,676,823,442,
229,375,017,292,024,333,787,795,632,418,992,912,815,241,108,230,145,765,183,
915,613,937,551,990,876,468,139,867,833,859,288,204,404,740,989,490,035,747,
661,580,453,549,559,219,405,503,365,138,514,982,024,767,945,054,929,097,115,
093,135,890,337,237,015,631,432,263,620,422,026,870,055,010,962,121,554,870,
936,326,698,308,158,866,493,450,938,627,221,201,688,161,793,070,730,748,614,
057,258,595,265,792,445,864,340,049,445,610,453,580,690,175,382,934,053,073,
859,275,342,834,670,755,546,043,531,006,171,335,333,970,284,222,900,404,539,
275,200,694,947,696,678,212,562,061,680,859,986,028,612,931,860,468,925,252,
707,172,770,396,315,711,831,191,511,882,099,987,406,726,373,485,012,330,887,
519,392,648,253,121,922,904,877,070,397,315,068,968,364,765,981,252,935,105,
703,592,172,554,238,633,212,189,347,463,305,275,364,868,712,176,392,130,050,
394,023,171,837,828,736,638,106,900,410,662,105,385,080,983,207,548,453,798,
204,274,494,049,854,971,171,043,015,194,204,453,705,590,333,251,428,976,958,
277,144,256,028,190,421,772,838,448,677,563,737,896,213,802,903,232,319,896,
951,023,070,687,232,781,983,430,123,692,276,444,358,470,044,771,868,215,946,
533,394,362,844,493,018,942,655,946,197,760,958,936,610,882,745,088,134,958,
716,579,637,338,267,235,252,446,660,381,724,557,788,223,063,077,899,738,469,
759,456,979,662,563,668,568,287,676,305,100,894,560,442,388,479,955,654,581,
005,964,014,762,992,845,064,975,436,455,983,495,797,379,541,856,249,031,893,
681,302,540,081,557,256,709,620,913,839,014,853,623,647,223,835,237,149,341,
074,797,228,451,796,123,402,196,341,992,433,083,654,057,471,509,796,537,599,
630,589,138,476,207,174,648,889,945,611,608,673,484,718,737,729,097,861,466,
571,882,686,798,281,294,385,193,795,141,552,177,219,623,858,224,804,344,478,
844,287,597,706,006,008,920,947,318,958,783,416,538,048,110,980,272,005,342,
398,573,251,130,945,076,150,963,878,097,449,553,105,853,177,109,838,067,157,
498,333,876,907,707,035,619,403,937,422,410,155,205,762,919,798,851,614,572,
796,316,849,369,774,459,431,101,136,457,555,290,465,650,641,093,266,982,598,
082,144,728,053,461,217,739,118,808,253,838,214,175,099,458,307,677,758,438,
636,911,772,399,242,673,641,805,828,388,999,725,044,293,204,689,828,302,769,
919,574,992,959,819,388,878,952,696,418,796,802,110,262,575,145,656,663,301,
516,983,634,882,326,175,792,509,823,413,969,720,336,693,496,146,312,019,409,
218,819,103,868,440,651,292,881,404,757,087,305,836,129,297,921,157,899,592,
356,826,240,062,127,731,622,320,230,021,212,223,642,057,633,747,694,438,405,
610,447,898,177,977,758,150,081,136,079,659,313,610,747,949,677,738,878,783,
717,941,966,831,320,991,275,785,295,131,850,353,324,730,052,667,973,797,067,
226,073,877,955,118,706,044,619,645,421,288,363,674,968,776,067,011,280,498,
548,751,385,239,650,642,965,938,935,011,672,263,840,366,994,655,245,642,285,
047,131,058,792,349,267,139,305,690,281,124,314,240,353,835,436,736,384,381,
148,092,687,487,762,450,625,263,532,686,885,234,806,231,032,045,140,484,293,
651,237,811,336,605,519,705,856,529,424,201,654,094,797,133,107,670,324,050,
048,598,198,494,913,100,179,273,585,429,270,902,263,222,042,045,481,093,473,
042,710,884,154,822,724,600,013,967,760,302,622,089,449,260,082,508,719,083,
592,746,336,478,631,512,901,406,223,250,616,902,284,844,118,890,875,223,748,
274,357,549,157,489,741,111,619,586,848,227,277,624,733,172,176,329,380,617,
415,059,811,784,815,620,659,721,953,646,157,578,715,818,836,150,894,869,707,
038,482,358,844,043,516,156,430,243,389,748,489,208,095,746,195,066,688,827,
886,499,281,092,709,255,477,914,951,985,560,797,208,387,679,115,740,765,792,
402,759,840,572,646,991,938,994,800,487,534,267,029,586,372,163,957,580,974,
536,110,655,936,478,520,359,923,053,297,691,217,894,361,955,521,862,749,708,
889,855,292,347,319,834,547,416,230,000,402,171,297,660,200,079,499,455,755,
536,486,306,209,657,274,681,918,444,319,149,734,555,505,803,189,524,786,845,
279,454,360,532,091,339,109,378,960,178,952,420,279,647,613,032,837,095,677,
519,848,192,629,960,263,744,967,839,651,661,762,293,243,678,872,737,170,494,
471,223,179,173,072,823,609,825,713,677,332,316,622,917,156,054,885,083,430,
968,722,022,759,898,859,501,838,866,183,342,986,184,015,375,495,930,175,112,
876,805,295,226,989,638,146,458,971,306,750,119,115,569,728,670,561,459,088,
433,201,759,375,408,825,142,026,934,626,712,030,089,802,303,836,440,169,329,
325,894,572,217,877,599,779,474,820,214,175,311,402,138,659,783,443,051,557,
858,571,992,316,422,284,382,556,612,120,929,658,389,369,524,935,683,311,704,
233,807,025,667,339,918,071,732,438,549,521,490,130,065,374,148,730,378,805,
686,936,493,433,436,100,770,425,170,188,365,583,967,605,600,813,610,213,513,
099,984,019,862,525,638,160,886,082,027,664,135,459,589,139,115,672,188,573,
836,019,049,716,180,176,325,858,710,856,652,392,834,042,910,170,068,070,476,
549,666,055,461,884,998,554,799,623,992,119,703,182,554,685,361,956,600,939,
675,895,991,743,411,118,432,567,643,537,709,746,962,821,384,770,553,489,352,
574,394,984,431,440,873,293,517,291,246,598,937,824,156,031,543,239,890,214,
197,663,183,024,288,208,769,897,435,703,030,362,806,111,857,454,558,940,546,
241,499,408,783,615,675,662,579,648,059,446,538,862,057,762,000,864,922,957,
492,714,992,838,135,288,955,397,265,359,318,232,273,517,607,998,817,783,943,
511,359,673,375,381,744,719,948,303,702,932,744,995,857,184,979,208,101,377,
623,987,096,828,316,332,872,721,016,978,446,143,293,773,541,937,380,690,622,
157,303,163,898,948,145,469,185,168,114,221,935,851,197,724,594,439,712,610,
744,327,234,943,770,967,023,384,759,475,482,684,692,689,550,849,049,819,612,
910,182,167,547,759,178,426,254,094,809,862,248,015,194,618,933,228,568,188,
549,698,043,761,267,677,378,632,256,453,278,413,869,940,916,334,356,343,403,
427,945,454,250,164,573,172,741,009,044,352,460,903,014,301,419,277,701,104,
633,830,153,075,562,408,013,311,149,461,687,570,750,729,908,768,114,094,744,
755,301,858,901,096,687,073,977,849,080,718,166,465,881,942,755,768,639,281,
787,976,713,527,001,055,749,054,682,698,733,445,479,214,057,444,222,888,913,
615,835,336,114,044,951,649,579,626,204,172,367,568,577,184,010,266,103,207,
577,710,708,307,420,108,493,772,044,599,034,652,292,759,446,338,192,579,177,
442,570,158,878,755,499,872,868,062,844,582,663,475,738,265,529,318,281,648,
893,106,249,053,617,770,922,955,651,029,183,132,650,643,141,110,733,242,308,
495,697,165,592,598,035,558,395,715,262,801,596,565,403,245,328,972,456,420,
045,450,088,681,037,274,523,511,822,413,315,907,193,953,226,132,653,504,494,
145,189,389,273,878,589,919,584,866,974,614,456,166,672,368,453,741,771,798,
638,251,346,678,027,572,824,150,047,543,811,686,299,418,180,603,499,854,958,
650,421,013,744,772,671,975,199,434,467,636,229,496,411,526,735,337,691,511,
722,431,578,305,989,066,721,353,891,053,025,981,666,205,933,560,113,014,566,
552,598,394,837,046,753,395,841,781,787,229,060,785,051,104,491,591,781,483,
482,007,891,723,693,042,318,011,461,957,703,023,642,329,420,535,128,678,864,
984,981,427,189,125,410,964,609,438,965,555,551,110,757,894,194,817,506,134,
047,859,917,166,621,624,739,705,976,642,988,697,857,794,186,792,724,290,854,
414,829,311,323,504,869,355,857,309,120,001,007,259,617,238,529,575,666,245,
283,579,251,313,905,687,506,568,338,643,219,011,665,547,762,433,944,117,802,
255,717,241,081,654,725,798,533,582,969,153,162,487,759,075,298,497,319,164,
885,084,562,128,775,022,332,776,855,412,984,127,839,599,597,398,282,238,551,
457,194,684,216,479,965,416,005,325,005,627,927,807,746,673,292,437,318,937,
429,619,470,548,308,501,995,131,419,446,506,493,104,037,240,231,167,543,650,
531,346,392,306,484,712,986,025,141,048,478,543,595,910,000,836,416,764,589,
806,636,949,743,990,709,868,611,094,335,919,690,021,850,027,348,083,347,171,
633,264,901,013,559,364,248,395,054,826,095,512,640,061,080,844,404,561,326,
582,446,739,247,725,650,375,203,252,528,984,081,575,546,673,083,146,210,255,
298,388,972,894,635,884,544,000,957,198,942,738,614,317,974,305,617,195,285,
789,041,261,662,410,913,208,812,335,601,138,269,489,267,264,744,715,752,075,
146,501,183,860,750,647,639,302,644,936,292,167,087,911,394,588,947,798,586,
700,456,926,444,441,471,835,822,282,669,833,563,854,067,524,211,625,058,205,
426,815,204,176,281,531,200,918,956,599,622,326,741,941,621,390,205,011,622,
190,484,675,696,386,803,621,226,704,540,099,106,078,937,566,826,266,466,200,
980,854,451,612,332,110,845,774,715,011,895,206,585,950,387,772,318,643,979,
166,033,257,412,525,667,540,913,396,962,984,805,466,546,444,567,856,368,079,
240,079,745,671,146,499,666,264,575,621,194,024,859,662,654,009,491,183,069,
575,145,640,795,517,973,077,161,485,116,920,126,484,896,715,455,028,752,124,
483,167,152,398,052,655,278,118,098,692,130,217,501,696,589,102,009,846,120,
349,500,207,365,061,673,597,672,800,204,095,493,382,145,144,709,673,299,782,
290,587,113,843,309,563,809,742,378,918,958,915,291,540,210,983,088,183,172,
992,231,401,862,895,638,323,925,982,707,899,503,885,581,280,530,239,696,958,
434,273,992,148,081,654,966,593,236,383,252,031,781,402,357,703,110,805,101,
463,556,631,376,284,126,752,559,949,425,379,159,229,347,517,255,566,034,620,
896,601,803,611,101,794,833,931,698,325,973,780,939,402,036,669,550,140,838,
409,649,373,494,487,827,276,039,035,542,087,072,648,829,364,545,832,480,230,
348,112,119,664,504,877,560,314,175,809,703,066,042,928,559,665,414,578,890,
875,016,462,424,514,546,732,839,022,773,634,151,762,796,208,676,017,196,081,
331,777,082,047,388,979,121,882,638,437,219,429,418,277,603,852,305,597,027,
460,374,621,452,103,267,599,956,111,229,358,437,166,839,942,519,240,364,227,
000,191,649,902,977,772,613,058,528,308,637,511,344,494,692,402,242,121,296,
370,775,202,261,435,101,537,704,896,119,263,330,256,829,038,004,538,397,873,
861,257,009,072,009,577,376,356,948,511,822,970,644,301,444,092,119,441,125,
601,532,277,702,256,655,462,778,260,684,467,160,751,396,673,108,891,587,964,
213,599,380,606,220,845,148,780,700,128,299,433,688,807,062,384,587,660,202,
158,070,049,833,332,171,066,880,631,849,498,216,549,354,518,044,489,030,644,
197,368,712,168,614,641,555,846,737,614,926,204,919,106,169,089,438,065,521,
584,997,341,172,014,439,860,018,966,502,400,899,784,720,882,557,197,153,876,
485,602,231,530,571,763,631,426,910,354,595,324,374,321,962,654,431,614,643,
661,442,728,077,851,294,057,382,937,356,137,586,743,655,109,305,076,538,263,
303,440,347,941,071,177,964,854,326,744,971,418,513,897,712,946,886,271,252,
062,452,224,655,298,512,112,257,429,517,117,558,431,110,713,158,974,699,023,
802,296,976,632,572,549,203,128,697,365,523,885,923,437,008,532,416,840,324,
264,166,445,251,341,601,789,073,802,844,110,022,775,490,226,346,118,947,134,
994,559,091,789,930,130,124,095,109,477,845,667,677,432,542,236,996,599,630,
903,051,349,548,245,543,178,199,115,261,662,944,894,633,621,677,035,369,758,
189,886,113,907,608,610,799,720,254,991,497,824,861,683,071,874,059,871,260,
037,161,868,103,354,960,255,777,202,818,131,431,636,693,956,084,620,282,491,
020,321,760,438,130,070,043,584,645,687,363,267,113,214,147,241,353,226,729,
398,139,772,689,149,327,726,746,725,353,078,782,388,276,924,184,033,454,227,
855,512,858,898,891,978,084,059,566,719,140,875,605,999,136,267,401,539,415,
076,740,336,579,765,288,320,520,196,674,179,398,651,680,124,199,086,064,318,
865,324,254,954,544,558,814,737,572,844,242,708,003,935,566,732,047,002,749,
270,936,348,463,240,892,731,871,205,468,722,522,920,431,601,842,131,650,857,
123,218,933,662,154,523,852,349,791,933,245,816,852,218,583,577,086,879,100,
225,523,962,430,909,212,720,652,645,000,022,641,943,408,491,395,237,595,985,
551,429,889,175,305,600,749,282,225,203,050,505,647,948,834,981,170,220,606,
053,992,665,046,635,607,629,923,241,918,241,581,930,571,503,943,466,391,539,
009,566,409,957,716,747,768,950,454,311,191,650,882,293,952,021,642,180,996,
470,080,475,625,874,966,816,353,134,951,432,818,229,346,819,423,346,773,926,
192,438,657,363,813,328,770,409,952,381,193,203,942,143,947,245,528,411,670,
396,498,946,445,211,202,924,255,772,096,609,735,632,499,677,081,520,292,812,
790,904,554,708,727,797,102,447,498,339,228,501,990,409,142,928,929,506,199,
182,512,841,924,588,186,612,819,589,270,777,512,370,002,656,798,111,977,510,
353,172,312,386,868,438,616,336,320,047,796,703,773,691,490,606,062,468,193,
819,880,162,096,768,106,893,095,216,031,287,329,745,260,337,342,069,783,879,
227,134,505,773,861,428,318,896,234,856,212,354,371,485,508,059,346,038,561,
147,978,275,564,292,607,479,971,203,308,293,741,002,198,223,807,075,822,366,
083,277,380,216,193,281,443,503,988,442,142,839,934,362,083,802,297,341,513,
090,619,106,842,099,194,338,707,719,501,820,286,181,063,228,300,371,137,263,
825,118,791,163,078,228,275,613,130,352,017,928,905,289,030,294,766,599,727,
073,711,131,330,479,106,470,839,321,727,551,801,639,528,160,930,536,652,974,
418,668,211,632,487,756,716,524,198,978,147,505,910,164,582,528,688,691,799,
221,030,727,016,894,211,903,660,565,998,487,694,326,990,639,092,905,405,177,
700,391,134,956,879,945,176,694,281,102,530,318,728,603,180,093,443,981,612,
791,947,095,833,269,007,021,149,494,509,953,892,239,738,868,961,248,219,928,
298,461,221,681,115,872,808,050,711,498,367,992,024,983,878,426,538,957,700,
700,739,746,617,158,660,148,751,098,555,262,109,544,379,017,506,417,142,231,
248,760,686,071,933,147,826,010,567,767,447,114,698,699,476,095,857,531,010,
118,631,808,488,927,614,798,995,363,159,470,254,175,443,444,158,252,659,990,
533,086,963,822,207,920,328,556,077,379,696,119,756,504,350,877,005,755,189,
014,756,743,208,055,172,375,032,553,609,352,328,908,991,150,702,534,362,410,
907,037,092,425,696,021,394,357,551,662,843,877,538,711,423,845,718,201,524,
168,258,137,523,343,907,476,855,608,569,660,300,255,681,338,163,519,810,199,
343,465,510,820,318,482,387,726,310,302,952,407,636,839,831,224,445,997,392,
559,203,988,957,087,060,373,046,560,302,928,743,978,222,903,564,132,478,847,
279,410,176,097,462,187,558,927,483,668,849,918,223,728,211,778,567,740,772,
156,496,813,703,936,540,033,256,933,143,654,559,578,018,585,694,429,187,575,
863,219,624,079,923,733,357,053,719,578,453,434,350,447,400,643,929,234,049,
862,404,176,467,977,864,314,285,242,683,422,116,920,114,125,529,343,558,312,
020,141,984,680,040,289,473,940,789,904,478,727,403,376,999,146,716,001,994,
332,193,215,267,786,718,485,355,648,373,751,235,765,254,080,463,008,435,572,
431,265,686,075,934,767,704,892,962,134,668,827,777,131,924,601,104,468,499,
593,394,262,840,223,222,055,225,375,897,713,699,927,573,499,628,050,555,852,
608,396,468,909,694,592,981,534,525,357,647,833,446,888,408,596,416,873,349,
454,105,298,945,192,693,427,940,385,175,389,984,932,064,112,226,161,177,335,
232,010,141,019,247,975,124,892,462,507,421,412,557,968,554,320,782,061,165,
206,162,799,237,142,862,737,004,302,120,813,112,560,866,235,708,282,657,971,
701,701,245,583,479,660,381,900,985,945,577,720,497,033,435,758,542,063,327,
809,028,720,188,992,627,582,600,296,916,662,742,704,336,967,525,551,281,123,
240,020,031,302,034,838,837,294,157,867,222,201,460,658,624,584,350,047,976,
377,218,704,031,428,049,331,624,020,426,559,204,152,736,337,246,290,053,465,
608,071,595,474,975,296,659,356,439,622,170,887,758,645,623,068,624,735,630,
599,919,667,180,033,623,802,695,005,163,194,067,618,394,198,043,303,333,251,
838,522,093,251,932,141,178,758,411,014,017,179,943,695,320,437,226,910,896,
062,671,470,433,155,195,355,689,787,103,279,192,225,148,355,850,394,729,491,
448,918,703,367,818,272,884,530,922,953,341,069,436,307,578,728,643,921,448,
549,589,179,561,183,997,838,447,740,570,672,824,351,724,599,900,348,514,293,
572,556,072,328,760,540,262,316,194,709,643,125,349,444,352,055,538,834,169,
220,457,866,685,936,698,436,067,108,298,500,741,333,992,581,900,380,052,540,
298,782,036,332,861,630,785,459,674,578,389,476,920,710,193,212,904,082,901,
596,380,301,526,486,428,604,884,370,959,129,726,058,009,536,368,221,965,477,
053,381,623,913,912,984,167,168,455,149,856,824,758,425,895,905,707,549,876,
426,151,636,599,441,453,737,360,891,191,683,804,575,559,210,337,875,628,778,
740,477,571,862,508,933,182,159,390,656,678,033,036,876,237,871,629,066,723,
769,844,108,397,291,066,538,214,289,616,781,267,612,643,315,426,409,714,329,
501,269,677,187,471,994,143,059,110,015,483,233,972,401,967,121,860,957,199,
775,739,454,515,248,147,525,712,529,015,381,979,376,143,647,345,658,487,599,
075,844,488,772,559,979,797,773,765,232,261,462,538,392,961,254,015,699,270,
228,796,164,742,280,199,960,897,709,115,702,389,214,277,628,820,912,971,070,
139,805,136,487,050,532,962,210,241,684,138,662,223,626,971,936,215,907,450,
923,849,855,093,251,541,735,395,808,613,734,576,118,384,193,295,237,319,308,
967,033,149,519,022,466,083,315,003,538,742,659,366,117,810,398,219,900,382,
543,568,943,136,155,554,167,784,236,706,826,751,982,039,123,910,605,755,981,
462,554,376,153,482,481,255,902,346,866,782,562,820,745,714,015,793,769,153,
023,838,991,609,072,861,765,843,270,424,620,684,868,810,676,115,712,523,586,
126,887,358,549,096,060,727,609,401,090,547,348,525,669,628,022,876,409,737,
558,328,698,721,434,687,640,438,066,495,408,732,846,752,500,331,226,887,591,
683,894,702,016,679,038,729,800,137,420,572,890,975,591,612,425,926,300,091,
072,121,868,907,075,927,362,431,470,767,235,717,390,564,618,221,318,517,888,
412,279,201,058,670,030,528,146,064,959,430,102,413,737,301,080,905,207,769,
843,685,077,764,809,702,824,200,585,597,682,824,181,859,709,311,697,903,231,
217,427,052,941,793,250,551,572,905,551,979,371,885,475,705,293,355,218,857,
158,125,657,070,717,979,234,306,605,526,249,940,729,715,916,268,797,577,027,
449,811,611,949,872,113,090,413,249,744,737,427,986,549,028,463,329,073,203,
474,148,601,269,749,543,071,540,399,289,365,448,109,658,699,953,065,100,948,
677,605,418,005,375,857,480,111,088,944,247,589,343,035,708,061,066,205,103,
736,878,730,593,084,686,019,191,990,897,392,914,938,351,543,461,097,937,210,
438,708,284,356,227,739,737,238,181,955,437,982,277,181,980,060,788,224,150,
906,286,915,199,666,008,677,792,364,828,489,270,522,381,683,185,794,452,942,
523,632,910,686,103,701,942,306,858,897,591,753,178,254,672,240,193,808,102,
236,504,497,218,741,400,895,574,626,788,475,062,896,805,202,907,801,539,631,
809,880,056,117,710,299,901,845,981,118,435,180,950,039,014,703,981,569,312,
220,632,520,197,266,655,475,693,015,983,464,294,930,140,266,967,854,790,288,
742,485,746,741,487,926,852,927,086,111,499,121,176,976,208,926,146,026,618,
160,237,063,463,839,480,979,869,478,471,270,820,508,795,637,672,516,247,306,
779,293,315,411,990,296,784,341,480,933,317,005,588,952,528,744,973,601,665,
815,760,425,177,225,688,503,180,366,111,432,687,172,086,114,758,079,681,379,
834,130,048,783,436,753,354,297,108,345,198,468,383,770,170,653,435,905,389,
145,769,907,043,901,829,669,108,833,863,769,638,524,655,554,315,285,484,232,
072,605,208,301,570,031,873,419,324,993,922,381,356,508,040,102,632,387,649,
520,026,078,574,260,289,093,767,914,910,619,796,462,777,285,367,246,815,823,
118,809,422,411,540,229,226,169,191,705,959,360,206,139,746,776,435,960,389,
872,356,283,198,044,424,071,173,738,905,810,377,378,947,975,498,463,013,564,
338,750,296,515,915,579,084,424,453,750,660,872,013,472,510,940,050,192,596,
684,249,493,071,721,573,026,823,810,205,818,828,121,705,167,132,859,943,216,
039,693,989,394,672,132,689,707,796,812,213,764,848,496,839,087,356,460,144,
399,301,914,419,157,752,358,245,749,894,674,777,913,897,918,691,067,682,651,
394,619,484,220,931,622,153,040,235,662,534,725,748,656,792,416,692,012,844,
891,527,086,845,349,126,171,536,874,169,154,909,308,301,721,166,904,130,029,
588,017,625,320,127,163,286,633,385,571,678,696,360,222,799,017,419,154,742,
211,745,306,773,956,002,984,941,453,097,932,429,589,199,400,846,277,946,222,
429,523,221,429,434,751,107,127,284,905,068,046,618,957,374,165,343,742,567,
143,959,171,807,979,143,703,776,117,052,456,462,329,817,404,352,923,164,300,
729,948,454,377,631,839,419,973,483,732,221,895,929,516,109,252,542,576,532,
727,906,731,593,910,346,002,462,947,641,817,153,272,446,619,135,674,307,275,
698,871,308,328,676,397,400,670,924,151,255,007,293,962,716,287,154,538,146,
143,688,185,975,358,020,063,334,167,485,591,699,223,866,796,963,861,263,934,
644,652,054,293,228,367,535,782,762,839,306,770,262,809,394,696,251,118,893,
828,358,193,256,175,780,980,011,333,173,053,710,628,161,594,615,531,139,243,
404,802,239,258,754,630,737,921,118,727,805,657,115,210,128,036,896,918,460,
110,403,004,756,691,026,043,846,600,264,631,467,607,461,796,470,781,992,861,
533,502,035,477,166,002,371,147,001,975,205,564,699,241,988,514,080,394,842,
831,761,082,482,615,803,610,666,043,441,060,788,236,274,981,744,751,097,304,
603,863,154,640,290,282,947,336,493,742,424,966,651,937,314,063,664,328,425,
670,629,062,803,236,587,562,735,737,213,888,068,896,920,993,558,656,106,449,
371,424,207,427,211,867,325,917,675,118,185,669,921,537,042,964,887,885,519,
867,404,029,494,764,023,264,472,188,679,619,698,901,366,462,946,802,372,994,
931,220,075,799,231,064,168,283,539,076,341,341,820,602,306,145,216,244,251,
486,741,212,582,615,831,366,757,950,162,391,010,336,088,389,077,830,746,501,
009,615,487,220,179,010,506,910,520,364,842,810,643,548,186,127,649,561,557,
246,701,990,229,999,860,645,055,156,651,244,117,695,685,170,866,029,756,032,
156,817,240,826,300,919,174,491,572,832,542,782,633,543,306,728,872,605,324,
232,538,554,821,708,718,293,172,263,058,934,965,881,141,512,545,958,262,721,
496,618,324,674,659,076,106,874,511,557,947,042,883,633,883,751,555,087,703,
439,187,722,458,704,119,319,118,704,914,812,179,186,064,048,552,455,730,516,
378,816,837,038,329,682,514,699,067,737,476,577,765,849,654,320,216,286,724,
137,696,432,357,715,399,801,980,236,484,957,030,116,375,274,989,991,453,321,
868,561,758,209,718,720,149,424,947,815,301,712,687,150,991,777,142,823,326,
078,734,300,084,432,554,150,207,369,030,092,940,045,882,482,495,410,388,433,
137,947,803,973,873,510,216,561,220,373,493,905,175,156,186,524,454,531,679,
327,197,280,071,347,592,306,993,989,677,728,812,077,968,961,037,221,982,438,
294,209,982,499,505,212,436,448,911,291,457,203,213,293,814,553,051,618,059,
683,824,064,631,285,139,498,077,872,812,400,628,243,527,354,145,379,363,075,
383,382,833,722,234,901,742,218,578,816,161,984,188,096,674,509,996,520,230,
448,874,307,918,548,869,235,866,248,413,728,808,365,143,900,080,425,095,879,
222,296,008,199,132,992,444,625,411,359,903,588,006,547,288,026,183,297,011,
830,217,862,762,709,843,682,612,076,805,352,715,164,736,645,260,609,295,369,
443,364,747,272,764,755,687,121,159,050,561,478,291,197,370,676,338,561,204,
383,936,347,751,462,158,747,438,852,890,002,849,926,213,710,634,631,547,042,
842,447,234,023,473,975,101,389,092,089,122,672,473,052,002,365,258,443,840,
626,770,970,854,582,945,319,886,673,948,512,752,382,294,443,533,409,813,990,
919,138,575,898,799,204,918,359,775,029,683,897,414,664,120,593,699,401,248,
126,731,036,644,960,835,869,381,134,397,421,657,051,756,665,981,484,228,840,
196,186,771,633,628,701,949,813,181,938,187,962,801,008,780,969,097,486,642,
062,098,444,177,966,281,225,623,342,242,488,533,904,901,899,686,054,221,761,
542,020,413,421,149,493,667,747,063,486,546,511,249,189,034,886,885,781,818,
351,097,917,140,986,481,624,081,094,931,559,160,456,278,962,334,563,203,485,
365,259,281,176,956,960,417,359,339,065,402,663,943,507,488,149,689,279,751,
116,934,114,666,084,889,250,751,435,765,132,309,742,942,492,122,274,222,355,
627,495,803,177,560,835,285,768,558,375,199,089,726,060,761,358,033,979,067,
915,759,040,945,727,522,771,118,649,158,245,752,795,478,505,007,359,020,478,
695,785,363,811,495,237,632,098,160,572,557,302,017,939,658,284,100,434,446,
974,635,043,579,477,069,505,423,560,954,785,664,229,034,520,419,789,348,674,
750,825,874,288,121,114,681,535,607,477,470,165,316,466,838,167,758,343,051,
721,291,097,359,443,382,706,177,807,931,911,129,690,725,504,413,678,444,464,
897,435,613,220,187,051,151,580,066,371,924,409,193,662,921,861,487,279,927,
124,157,445,703,888,642,710,987,598,355,624,335,588,840,151,744,706,879,456,
013,892,602,246,272,743,038,300,484,009,784,152,662,111,442,924,773,458,796,
277,477,373,425,170,265,348,635,448,847,533,433,435,208,001,715,522,982,924,
539,461,422,523,761,761,377,598,699,042,785,447,328,341,436,437,387,277,716,
737,721,347,859,883,905,672,954,184,531,944,125,892,698,967,962,359,511,466,
968,538,929,303,630,756,849,064,537,316,053,274,562,161,617,586,330,489,118,
412,098,560,903,899,480,501,532,348,708,480,529,534,668,382,858,816,987,339,
695,021,158,608,975,415,352,964,797,780,237,087,821,992,098,585,431,694,971,
117,812,989,329,409,495,311,170,758,202,977,236,454,290,450,649,202,636,836,
264,919,067,690,348,501,463,389,839,156,355,646,470,068,466,710,803,296,416,
720,775,537,982,612,272,788,247,082,782,576,676,729,990,715,927,323,981,278,
717,987,402,772,405,094,003,332,961,177,527,026,153,828,435,714,582,980,682,
497,750,344,435,705,446,984,536,631,284,239,441,222,244,493,853,923,375,403,
838,786,394,903,810,562,803,023,161,904,078,276,868,312,560,754,947,359,656,
062,938,610,903,788,336,752,112,075,416,715,208,890,817,567,114,796,127,099,
139,503,695,326,735,867,960,243,822,040,891,652,817,487,401,041,361,145,624,
293,817,561,751,298,145,042,565,173,173,505,625,207,976,159,464,458,659,860,
366,049,262,496,538,638,864,855,662,757,029,968,735,726,445,438,509,969,945,
700,975,055,817,839,365,839,772,199,784,047,301,380,869,833,169,256,682,298,
619,116,309,561,101,673,325,727,696,801,660,841,382,647,240,872,807,231,842,
974,272,703,960,556,587,156,804,639,634,347,392,411,713,582,965,587,846,950,
211,408,809,172,287,242,907,933,040,073,283,097,654,243,359,074,805,152,370,
826,700,842,087,581,546,630,330,894,760,473,010,931,020,561,083,189,739,077,
250,631,354,086,865,841,724,609,018,323,237,289,705,717,411,615,122,238,371,
715,549,839,847,851,130,742,555,859,057,523,621,795,131,478,676,201,124,512,
808,092,703,434,918,800,141,654,308,237,213,640,851,350,231,427,037,354,518,
731,744,331,570,777,622,457,619,646,390,262,401,678,833,773,786,645,658,761,
193,587,124,298,189,807,409,470,829,181,640,006,148,068,362,127,530,648,094,
325,138,848,925,768,237,908,192,427,857,709,503,977,007,946,347,118,465,577,
686,073,073,916,507,484,420,088,416,130,141,528,996,704,541,125,317,193,580,
057,936,564,522,539,052,395,391,726,698,712,337,803,447,392,828,624,130,930,
438,513,918,775,716,946,530,259,632,938,987,733,661,179,216,465,402,121,501,
161,785,217,049,486,423,274,240,262,827,887,809,025,648,569,769,545,868,541,
978,543,985,763,843,212,612,372,798,074,188,388,594,204,086,649,780,949,949,
368,121,785,465,407,863,716,180,554,867,869,361,063,511,817,099,253,416,447,
800,502,951,318,003,293,224,650,209,348,040,334,493,444,704,746,085,337,976,
848,113,085,362,407,226,902,337,378,897,336,594,822,556,651,149,504,590,647,
386,751,589,574,347,696,214,492,564,658,002,656,531,151,152,075,705,855,726,
200,144,814,682,902,534,514,976,406,670,608,712,830,062,238,636,828,444,565,
513,614,254,877,435,920,505,867,624,513,152,434,829,089,823,336,461,631,893,
328,099,748,824,621,886,558,357,629,323,497,002,639,204,037,081,709,337,799,
333,964,500,144,135,294,940,304,942,658,766,705,995,359,056,475,996,625,480,
460,426,951,313,636,590,350,630,534,441,227,575,498,130,493,628,282,203,431,
402,763,931,195,921,552,162,002,576,636,239,837,005,687,548,311,455,104,850,
407,021,908,320,421,087,810,845,962,493,621,867,575,117,548,565,702,346,715,
319,015,695,869,047,882,090,729,104,270,098,664,038,371,580,689,788,931,880,
123,925,428,238,155,640,039,286,046,177,415,129,107,268,955,028,859,101,671,
138,490,990,754,810,289,354,353,815,040,894,765,909,793,248,505,020,217,008,
008,283,532,366,498,415,014,006,314,527,794,311,575,542,067,768,079,400,111,
717,999,538,989,933,251,292,417,424,916,196,943,870,607,505,206,942,226,060,
516,819,231,568,971,374,568,225,775,613,566,043,571,557,308,200,691,499,836,
138,252,163,632,055,477,863,167,911,198,259,794,638,806,929,359,711,863,122,
552,887,474,540,635,927,649,927,149,918,114,810,405,579,634,540,640,932,154,
860,240,992,050,362,149,890,271,747,089,239,296,313,688,402,839,876,143,814,
138,494,848,094,133,966,737,244,666,371,696,928,286,346,945,157,770,970,241,
550,261,413,075,166,882,020,502,460,274,596,194,604,409,316,683,033,462,666,
688,551,405,094,464,678,554,918,466,911,977,090,300,775,784,117,664,197,471,
266,927,728,987,020,149,874,673,720,511,341,926,808,754,364,555,211,589,327,
080,318,337,183,974,925,195,672,346,236,590,127,650,216,353,963,475,723,016,
586,854,366,131,254,293,669,956,459,131,725,555,694,169,090,505,883,422,859,
981,710,712,728,105,157,691,208,632,799,396,689,775,702,029,308,392,691,466,
894,065,781,575,617,781,080,334,189,822,950,287,524,054,241,780,586,379,552,
738,962,498,252,824,689,691,082,127,906,763,046,685,727,673,370,421,600,513,
395,531,208,472,094,653,978,326,162,233,893,804,621,360,257,875,931,509,751,
559,990,716,482,557,419,481,051,783,595,172,679,296,701,456,413,130,361,582,
546,619,413,620,706,335,201,587,508,432,260,694,929,848,422,796,749,051,950,
326,117,724,995,488,948,709,464,905,526,310,518,637,287,312,661,636,928,368,
726,063,041,687,678,954,392,139,230,820,202,963,257,128,486,841,244,988,867,
592,601,592,848,242,023,341,504,941,387,128,384,074,262,104,877,062,940,499,
784,506,882,441,224,417,520,042,668,545,311,857,178,978,564,633,721,467,428,
632,094,543,283,207,326,529,811,051,966,523,341,720,973,079,202,975,929,543,
819,369,480,554,586,826,766,181,513,380,242,651,400,288,357,199,121,235,099,
823,827,366,687,581,844,624,076,946,769,942,458,816,529,931,103,384,638,844,
648,199,118,064,838,528,347,024,407,624,679,340,904,313,722,598,417,069,702,
089,705,836,565,715,312,248,250,535,561,928,805,948,285,006,230,790,494,465,
513,143,203,329,146,661,814,151,203,514,325,571,995,295,208,994,739,440,332,
699,114,460,523,847,057,903,536,007,171,293,255,504,790,517,629,933,029,607,
386,011,037,053,410,717,939,554,557,508,616,826,523,046,960,618,824,548,791,
319,005,093,037,970,558,324,760,502,874,950,175,818,321,437,198,265,815,161,
862,683,298,939,062,908,983,255,270,877,869,627,617,908,536,506,229,849,254,
779,959,599,847,395,625,181,946,084,048,701,994,919,058,642,579,561,910,416,
982,557,881,317,544,615,781,159,171,815,491,106,572,309,872,736,079,431,999,
164,935,555,087,131,847,570,658,545,764,032,129,380,895,300,372,954,764,335,
556,463,003,122,495,543,618,981,911,720,596,528,366,486,421,549,781,363,284,
875,163,505,081,542,191,224,666,135,524,762,231,569,814,051,751,115,169,651,
535,143,700,615,132,314,765,389,397,227,333,522,611,536,732,232,917,725,085,
136,836,569,115,782,700,703,602,114,396,228,324,518,124,718,316,185,220,339,
185,042,670,106,867,020,326,127,030,080,457,562,191,649,078,418,330,493,503,
451,450,837,762,325,179,689,904,551,138,979,718,781,885,260,971,427,871,259,
311,114,888,355,348,451,290,850,718,758,146,333,096,271,504,544,959,520,907,
598,792,443,602,987,915,635,544,711,611,664,271,975,349,119,490,614,876,660,
987,270,416,233,535,033,474,917,765,469,093,088,595,955,057,430,913,433,010,
597,905,594,056,846,024,423,648,878,613,396,361,871,537,007,109,710,142,732,
873,460,578,141,979,464,492,278,082,737,686,372,040,299,198,142,863,510,485,
764,059,514,338,319,387,253,449,071,072,205,523,749,035,858,070,209,407,926,
891,777,699,635,512,471,795,054,829,154,838,559,195,074,463,168,013,504,237,
228,215,443,602,421,344,053,144,835,967,172,151,990,916,441,688,089,075,302,
010,746,372,030,999,752,824,117,366,221,658,284,645,387,740,576,475,692,602,
093,637,979,613,848,197,233,175,832,823,698,879,304,965,565,945,809,898,356,
852,337,758,421,142,270,714,518,822,372,391,412,113,555,612,986,110,816,174,
255,583,511,329,676,645,743,941,802,475,878,020,198,183,266,570,959,013,708,
095,047,498,637,512,368,734,788,189,273,064,932,616,279,437,854,448,478,828,
913,554,435,786,389,179,013,101,193,914,368,120,426,668,546,024,512,876,693,
219,971,058,168,693,770,141,232,989,318,861,356,630,288,773,027,312,372,568,
483,874,944,552,467,101,524,417,780,520,741,740,896,150,013,979,199,777,868,
636,569,834,517,581,239,357,808,999,806,107,651,846,855,106,757,960,315,506,
507,557,504,294,612,045,422,098,640,229,699,269,447,951,540,030,827,381,712,
174,594,883,488,620,427,229,822,567,024,550,891,382,648,547,323,615,989,743,
385,853,833,715,685,356,214,508,732,061,491,338,364,897,012,764,778,236,797,
350,578,357,494,031,599,670,179,684,400,974,127,369,430,862,869,001,447,600,
693,422,545,857,974,325,407,978,504,818,034,510,286,254,768,592,437,951,360,
679,080,629,671,891,869,244,347,188,649,379,467,419,592,573,931,308,948,597,
673,796,902,616,039,299,086,092,200,748,969,566,963,062,041,578,360,774,096,
572,189,699,920,313,518,971,678,857,198,398,225,294,273,397,810,984,197,283,
672,128,196,056,138,954,385,215,282,029,448,433,371,228,921,598,244,971,878,
007,294,909,491,461,873,684,149,420,386,744,785,359,027,450,605,334,073,414,
434,761,423,407,192,274,979,598,408,715,443,232,590,720,026,903,749,809,355,
597,422,462,843,360,923,023,673,413,112,193,583,650,546,332,805,128,545,504,
891,556,460,206,540,299,539,566,356,258,808,898,334,138,614,757,367,327,157,
098,775,373,099,759,017,238,281,714,592,119,427,385,792,514,596,483,671,697,
248,880,028,699,636,170,919,696,959,124,666,513,534,229,573,610,438,381,288,
923,723,422,485,528,845,402,203,878,774,017,270,045,329,807,492,670,573,958,
147,162,249,138,482,907,005,325,043,339,290,941,011,125,204,855,977,018,028,
650,437,602,066,130,800,997,284,436,359,087,428,209,551,345,585,912,732,644,
831,212,263,649,952,219,927,326,781,358,108,028,977,358,333,895,998,242,186,
921,364,880,226,286,743,258,093,390,069,603,737,873,722,549,124,134,721,034,
450,835,474,333,169,501,134,098,096,099,941,615,471,038,937,084,733,146,188,
874,507,521,760,566,846,366,513,751,396,217,387,275,149,075,865,812,609,315,
152,247,549,867,662,150,400,227,118,182,822,435,073,942,686,454,181,303,205,
197,100,905,391,850,190,869,708,319,561,414,567,345,385,341,443,476,017,537,
600,252,898,836,248,837,919,174,411,437,030,029,565,615,309,993,272,819,961,
517,337,253,746,242,799,109,297,920,803,937,335,485,174,896,697,991,852,986,
119,579,901,544,194,104,568,082,935,242,057,239,520,608,765,728,564,919,755,
641,386,823,356,032,160,653,961,412,056,730,383,202,912,234,636,344,968,427,
668,854,440,023,069,830,521,260,343,320,179,023,168,080,976,824,957,348,886,
969,016,306,793,435,047,312,141,946,195,535,422,855,881,368,395,342,448,389,
927,775,713,546,082,001,212,378,916,913,504,231,322,298,013,167,724,003,190,
989,873,369,754,714,839,648,021,288,367,451,598,637,962,778,267,859,832,190,
743,224,168,477,554,227,774,229,158,358,795,634,182,896,804,744,512,306,571,
336,088,323,882,005,483,657,354,461,918,487,644,131,279,438,256,395,620,743,
059,595,012,198,233,280,159,042,590,973,488,164,112,879,024,395,010,922,333,
785,588,922,267,327,720,653,180,692,136,949,856,822,454,023,692,591,118,347,
786,339,434,986,928,221,749,532,082,049,828,016,504,411,710,870,581,688,719,
865,317,039,277,895,694,826,782,408,138,850,332,662,452,151,897,478,383,953,
796,503,627,475,731,682,835,210,758,535,719,098,946,913,988,088,099,520,269,
803,337,622,118,969,037,558,770,129,838,140,671,575,695,453,679,783,892,238,
344,314,218,199,742,679,438,762,551,290,700,290,477,904,361,062,216,548,812,
034,998,347,701,241,291,884,886,386,530,112,538,558,858,125,395,321,455,759,
300,636,052,363,665,930,877,492,716,232,585,272,362,916,821,254,905,697,219,
191,621,061,927,477,655,804,257,655,420,879,983,505,459,672,057,903,015,217,
006,434,668,737,228,079,692,308,195,745,449,476,727,680,408,032,472,006,076,
248,437,830,459,608,729,244,390,017,499,426,437,008,211,250,471,575,996,044,
036,348,716,211,467,385,811,978,669,826,985,650,790,263,646,349,158,396,438,
116,846,649,540,300,482,261,831,715,138,087,267,228,721,395,973,720,088,390,
500,654,322,408,778,433,177,402,216,296,372,244,595,237,128,715,677,841,207,
838,775,565,908,183,509,073,275,769,032,289,723,275,336,016,155,625,519,421,
812,618,763,110,112,108,089,199,839,248,556,807,631,284,984,845,740,493,363,
250,585,565,343,864,233,531,706,702,158,990,516,450,754,679,623,869,358,882,
659,358,302,348,392,882,951,657,273,529,771,680,247,753,020,580,753,063,576,
437,485,833,499,554,201,957,920,514,717,785,883,833,533,595,364,281,922,415,
674,133,431,199,596,738,554,263,567,137,483,339,086,835,988,214,907,446,829,
136,610,401,414,698,560,160,924,810,899,132,654,508,378,475,245,708,872,516,
540,510,166,917,245,709,524,354,947,798,105,456,673,267,356,769,207,544,498,
190,397,116,673,595,040,073,060,236,725,810,478,798,505,081,547,147,514,997,
820,909,923,854,480,889,076,892,513,142,676,266,312,371,351,491,656,082,002,
589,685,745,227,759,944,964,266,637,170,885,378,090,206,715,207,035,691,008,
299,478,243,678,059,297,225,499,992,026,467,807,485,171,170,631,963,634,375,
156,355,992,135,754,997,773,315,901,390,661,489,323,780,435,730,125,721,291,
615,269,203,025,545,402,640,788,834,601,568,093,894,189,982,274,340,552,392,
014,726,227,572,657,744,446,331,126,102,253,275,916,978,461,656,223,281,324,
054,461,726,002,177,750,588,427,209,102,898,370,313,926,175,025,958,731,263,
095,213,038,110,528,661,312,405,083,010,418,382,890,208,502,641,077,632,539,
163,540,575,567,795,034,203,326,738,321,162,173,592,855,698,466,941,768,895,
282,290,172,646,452,944,745,532,240,804,199,523,208,148,078,222,469,755,406,
332,144,004,594,825,874,478,681,233,536,267,799,020,629,743,768,413,659,307,
577,429,660,443,494,506,944,185,643,270,937,107,529,897,401,647,382,645,307,
058,326,221,844,204,619,335,241,284,194,127,642,708,850,143,069,948,548,883,
080,070,520,912,796,147,100,435,586,511,060,686,552,505,839,979,584,391,099,
800,153,905,697,756,819,303,144,594,875,574,984,228,589,020,638,984,003,919,
695,475,994,610,805,419,642,236,162,809,080,412,255,731,107,766,127,018,297,
789,254,308,539,588,122,698,002,480,127,186,345,134,762,711,807,914,446,240,
826,382,411,068,722,883,111,153,922,008,131,814,364,729,147,310,186,349,280,
604,538,894,219,349,083,962,880,342,501,326,171,859,421,183,761,123,029,480,
596,243,969,788,500,690,938,321,709,770,211,676,270,116,498,779,743,992,120,
408,783,764,637,873,958,060,323,711,774,729,064,679,334,450,345,774,462,620,
731,156,688,202,961,047,732,373,930,822,083,693,265,631,851,669,794,154,672,
311,518,333,564,722,167,097,935,273,866,523,560,031,682,752,981,160,192,365,
203,137,509,361,085,950,753,155,233,619,535,767,949,897,857,991,622,459,246,
593,226,250,711,767,918,273,183,105,689,055,034,942,901,539,990,544,362,310,
208,201,452,298,034,151,982,151,350,799,859,146,087,009,211,285,062,619,480,
539,204,926,478,117,451,363,040,880,856,286,381,262,743,765,073,535,011,612,
017,731,261,272,489,130,161,635,004,488,019,271,413,794,465,839,605,806,989,
355,809,826,401,814,158,142,710,476,909,787,226,200,028,842,481,340,711,260,
495,078,216,389,185,835,177,680,908,791,454,503,104,297,449,970,547,813,264,
314,842,735,387,931,104,620,309,556,639,867,400,180,687,014,512,688,357,169,
260,926,792,024,969,859,754,055,653,301,804,055,372,709,157,618,948,303,940,
786,770,329,755,189,113,609,155,464,193,468,083,105,761,969,051,794,047,801,
519,459,480,534,884,459,038,021,178,034,764,821,480,546,923,649,193,818,039,
602,107,574,048,628,019,728,645,519,697,252,551,661,802,837,036,599,310,149,
660,652,567,484,233,381,015,570,490,690,919,743,146,281,909,287,252,880,973,
648,091,809,054,346,591,486,080,581,571,734,376,085,426,514,854,367,908,572,
942,493,244,812,431,448,475,423,118,948,717,220,656,438,722,629,917,436,177,
115,988,448,736,708,924,163,538,791,443,446,052,194,674,188,114,472,617,673,
358,713,811,517,645,348,819,576,940,016,721,353,345,479,757,277,377,692,452,
570,860,736,979,861,957,024,968,586,515,932,243,477,635,621,783,796,251,082,
745,215,812,383,150,594,383,312,001,370,461,564,211,070,896,453,577,632,702,
204,525,605,594,857,277,835,424,721,537,881,428,117,607,936,177,575,611,535,
948,263,107,358,184,364,152,464,681,350,526,709,396,071,531,754,830,448,337,
397,859,416,504,796,477,462,279,445,849,524,388,392,726,145,526,439,609,010,
742,558,462,234,194,528,170,843,088,739,975,846,519,332,270,643,254,522,600,
422,866,277,056,924,199,705,408,111,463,863,054,453,142,789,565,768,485,135,
878,410,260,885,035,549,504,908,990,217,444,586,516,693,160,985,984,290,107,
980,843,805,475,238,739,897,675,675,753,196,635,194,296,667,706,365,308,012,
929,512,476,547,955,370,109,321,741,637,094,518,817,900,752,953,966,920,973,
957,244,157,905,505,575,563,623,704,331,030,092,240,155,664,119,384,980,686,
526,915,662,274,480,206,466,230,888,279,001,944,310,216,469,616,126,870,676,
326,668,823,980,181,956,790,393,961,263,733,669,735,346,392,030,408,360,642,
571,050,149,426,706,948,693,101,734,804,611,983,364,771,089,578,237,032,674,
456,360,308,783,033,830,449,361,644,101,538,135,497,586,195,183,205,272,064,
484,736,783,563,182,073,077,179,234,508,483,422,284,283,729,654,220,009,209,
531,700,256,341,307,744,691,157,679,834,785,705,295,268,135,948,341,772,167,
750,992,669,687,085,667,604,115,689,495,588,024,335,418,562,235,793,897,094,
346,757,379,417,099,185,307,188,878,269,968,664,216,199,958,893,517,692,991,
382,965,393,698,575,580,251,644,952,743,788,588,172,794,589,654,742,598,065,
051,290,983,731,679,032,990,555,704,397,506,581,425,434,949,064,081,812,912,
118,464,847,772,489,706,790,598,428,056,475,990,455,572,516,665,316,823,413,
083,175,899,080,429,002,907,809,109,134,834,340,587,128,767,814,711,448,871,
749,805,256,719,282,203,296,445,994,525,818,064,110,099,001,521,121,133,698,
241,790,536,762,514,954,183,293,568,841,563,817,758,806,983,095,177,447,390,
479,859,266,093,727,176,808,050,861,043,691,228,983,018,706,334,365,236,462,
908,068,756,260,127,726,176,489,137,032,319,736,505,832,188,524,701,399,128,
226,674,173,832,332,660,736,975,418,239,753,725,732,488,478,715,452,092,287,
079,178,824,149,186,541,887,217,024,804,559,072,028,308,436,685,310,733,498,
028,511,447,859,962,670,851,146,596,040,376,447,251,255,012,102,363,965,802,
259,943,869,555,373,876,024,668,642,579,940,462,655,003,426,404,071,184,011,
391,679,583,109,719,421,915,996,431,525,152,956,926,559,202,210,968,597,856,
656,614,659,829,206,758,246,620,131,050,337,841,301,785,280,538,208,180,096,
530,003,189,163,658,194,942,408,761,464,836,358,436,665,245,657,384,965,496,
779,301,271,319,779,466,351,600,307,487,644,828,424,391,104,564,523,241,616,
449,515,353,709,608,849,718,999,339,519,749,603,681,558,825,613,929,802,142,
656,380,720,687,305,106,590,512,333,003,211,662,909,886,994,224,558,391,913,
122,780,019,483,561,529,458,741,684,452,586,706,285,915,331,159,443,558,276,
635,171,186,852,946,058,307,649,938,283,036,794,602,386,304,044,485,144,752,
014,560,931,873,079,028,918,371,770,616,592,885,219,160,051,124,242,273,249,
561,433,067,448,250,335,046,982,553,346,854,610,021,322,077,726,283,435,670,
791,879,415,503,335,005,148,729,227,956,103,289,841,516,233,141,733,790,264,
548,178,302,112,426,666,608,465,351,017,926,928,481,894,444,872,642,386,424,
008,059,583,217,249,886,027,508,789,346,171,061,916,618,513,698,555,040,340,
391,684,026,226,695,985,347,864,204,280,414,301,047,834,612,756,918,276,195,
064,073,528,912,867,142,152,587,745,454,839,222,203,757,625,341,833,397,815,
465,182,990,020,485,355,413,919,952,296,122,684,147,889,196,981,356,152,668,
603,855,775,525,272,654,602,306,797,002,660,744,925,127,426,281,957,115,662,
347,625,597,404,242,659,374,913,860,731,243,405,164,054,406,994,144,489,717,
479,218,328,645,717,333,892,785,668,723,214,670,216,295,438,438,261,925,935,
506,601,063,550,268,928,891,144,459,808,295,126,463,494,106,743,721,013,272,
895,595,436,007,634,345,557,273,744,863,524,678,453,916,973,180,504,985,808,
439,395,129,432,288,369,609,026,914,412,344,428,767,628,668,345,807,145,376,
534,298,413,486,160,382,259,459,940,666,561,791,674,415,080,738,549,764,285,
576,447,297,656,955,915,660,967,703,437,653,456,970,741,999,859,740,726,459,
667,848,748,050,720,447,436,687,536,981,876,945,113,158,928,570,279,468,927,
676,309,671,992,713,421,379,128,375,386,460,267,763,069,546,175,693,549,622,
690,217,731,924,172,861,256,951,989,794,058,380,882,082,768,255,181,189,729,
671,440,606,294,418,231,980,520,957,564,694,927,696,261,391,562,459,307,874,
244,578,906,127,966,184,275,694,986,764,559,916,009,365,676,903,080,034,697,
272,397,572,886,839,238,586,037,064,655,311,874,202,448,292,828,653,592,827,
606,970,197,156,514,379,842,095,750,508,366,203,985,473,291,763,220,617,727,
897,451,084,190,950,344,043,553,930,009,085,393,166,824,736,958,781,063,392,
733,928,917,000,033,306,812,735,899,988,527,185,798,462,222,987,120,994,269,
225,606,826,469,304,366,509,878,276,099,570,519,763,240,363,832,777,439,985,
684,946,063,889,145,564,980,892,714,705,472,060,459,606,224,277,156,766,167,
110,608,048,234,897,612,241,816,959,860,945,575,441,594,994,045,116,679,280,
274,397,621,828,218,833,718,775,944,797,994,073,741,677,493,058,298,470,501,
505,222,233,565,566,526,839,343,867,989,114,131,181,445,013,409,553,212,408,
606,865,675,149,265,906,762,950,212,118,771,970,154,169,934,107,531,482,579,
665,274,620,305,149,146,904,325,329,286,430,389,548,924,586,019,273,383,208,
229,153,898,810,591,388,759,980,439,372,462,809,090,972,871,276,831,533,691,
939,734,317,130,291,928,592,672,246,787,890,093,518,006,249,768,961,270,291,
432,281,690,616,903,612,885,207,797,980,628,946,983,854,614,277,057,832,393,
176,872,525,870,574,634,149,039,318,891,354,962,907,433,618,424,297,627,610,
237,148,837,264,216,329,257,031,390,164,428,447,670,476,738,071,944,063,519,
691,898,935,701,511,318,960,830,024,887,475,640,901,945,031,689,623,263,964,
048,743,280,495,271,518,404,827,808,510,447,661,732,308,341,787,805,252,047,
576,808,242,336,019,947,089,695,163,239,245,623,841,997,038,228,321,485,961,
130,677,613,503,329,838,604,934,981,545,727,328,030,582,387,841,204,703,163,
079,199,022,306,781,467,806,956,502,143,261,431,522,961,264,156,076,322,763,
369,093,766,133,198,099,882,924,120,968,443,290,171,176,644,511,824,960,542,
236,329,435,467,749,328,644,061,186,492,781,197,478,489,442,379,397,084,527,
114,332,005,220,834,464,111,705,560,736,066,482,010,756,934,808,822,247,432,
172,657,322,636,628,642,803,761,783,408,780,805,070,737,000,513,726,867,160,
223,113,854,856,701,814,742,308,399,824,663,335,232,255,894,634,596,173,434,
822,527,588,088,517,410,873,803,227,469,119,564,576,899,099,771,625,758,502,
081,062,521,302,644,736,055,374,862,613,249,255,507,817,931,385,165,167,455,
361,081,055,405,692,239,435,893,373,558,823,543,707,758,257,680,573,309,684,
917,656,127,748,412,002,992,047,529,440,539,761,937,017,700,177,828,108,080,
427,726,297,825,359,801,773,488,870,915,689,016,401,241,605,313,490,484,995,
721,569,324,732,049,393,308,319,710,848,595,305,052,155,432,905,627,936,131,
616,195,484,876,911,268,517,849,570,809,247,888,099,760,425,220,807,548,644,
433,500,325,331,543,570,858,572,948,161,314,967,073,342,725,884,542,967,143,
837,186,836,085,290,497,842,969,754,671,764,428,357,945,811,934,531,505,638,
784,184,335,176,649,681,598,364,957,227,501,782,501,131,476,216,603,876,583,
528,907,717,606,559,100,276,140,836,201,273,191,314,654,642,049,404,117,221,
816,359,044,636,742,515,351,292,821,178,157,234,512,251,084,099,665,888,031,
982,989,891,839,214,096,872,908,513,980,132,122,405,290,177,472,638,079,555,
104,976,591,607,580,722,992,090,676,140,637,352,342,497,283,568,216,962,110,
616,439,166,017,847,662,227,943,934,162,847,772,015,156,911,860,348,708,657,
460,099,983,773,853,527,354,063,014,937,378,250,297,678,564,478,808,590,820,
183,364,333,610,745,025,783,180,856,851,342,069,213,423,389,348,751,168,886,
894,714,003,791,973,210,020,570,591,734,054,020,068,932,140,498,162,241,813,
787,004,812,515,010,874,492,251,910,051,126,123,518,793,467,609,567,088,588,
272,268,047,307,296,631,920,454,751,362,180,104,941,466,544,170,952,367,284,
548,807,125,363,823,619,636,709,592,702,559,107,531,048,143,089,684,856,797,
337,277,274,471,762,729,757,595,272,479,448,464,668,358,704,548,374,338,837,
965,204,841,431,716,276,864,444,574,822,150,891,062,428,191,279,366,160,705,
013,992,725,796,437,137,912,071,454,231,685,835,484,704,512,175,095,373,809,
753,759,778,202,268,385,216,272,086,238,842,911,626,023,009,400,238,704,191,
610,755,455,573,239,263,813,106,324,137,874,824,716,349,226,266,061,981,928,
117,322,069,014,418,362,315,709,407,164,454,223,767,805,149,185,767,728,350,
605,065,964,699,703,256,600,636,308,108,356,314,958,879,458,835,184,430,682,
487,113,710,047,330,545,620,136,196,595,063,141,049,965,439,806,357,166,858,
504,732,230,375,780,674,585,706,678,377,210,653,946,409,004,480,427,677,691,
519,550,479,886,246,685,590,893,506,222,795,342,621,867,723,964,641,738,853,
496,256,904,917,741,420,087,960,303,859,305,669,293,457,238,905,475,990,372,
397,190,085,637,606,284,614,116,172,205,108,295,843,744,967,078,254,485,823,
083,003,951,963,097,586,669,505,642,725,570,480,070,673,305,196,386,846,607,
038,755,876,911,837,100,999,412,775,440,850,181,604,965,004,156,454,549,483,
099,748,190,416,769,889,518,461,131,176,407,283,954,374,093,959,560,103,629,
590,759,010,904,604,875,240,367,716,183,592,071,129,175,667,114,898,903,850,
951,016,217,196,602,160,065,703,291,616,170,676,506,347,691,329,733,193,482,
454,184,082,125,902,175,154,816,184,177,460,792,261,721,692,237,057,919,812,
095,583,965,145,931,399,151,333,476,217,046,701,296,568,301,985,348,463,563,
068,383,208,811,051,609,299,561,874,165,249,897,413,212,965,716,561,551,692,
669,212,957,624,413,023,497,397,236,491,586,998,970,047,842,419,430,096,049,
664,205,034,112,320,703,942,930,730,483,956,523,380,095,587,747,270,063,548,
155,421,236,653,137,239,435,569,771,324,610,744,732,270,610,753,842,216,193,
005,947,585,088,325,252,436,307,958,768,550,254,688,663,732,459,297,153,121,
701,075,496,745,807,374,736,847,643,692,695,839,502,022,245,046,470,036,871,
622,746,694,405,532,362,716,881,102,085,823,703,945,786,276,586,438,600,863,
531,239,639,955,626,542,360,663,068,533,472,381,042,441,535,728,954,926,024,
849,038,204,967,561,157,772,660,984,727,920,111,603,260,364,652,684,399,358,
228,328,404,003,307,680,417,062,188,873,205,860,441,454,342,764,195,265,013,
524,888,772,597,154,339,777,974,966,730,775,268,634,883,192,628,134,415,556,
499,033,730,137,587,422,225,468,469,240,790,573,331,192,110,556,733,427,660,
466,125,517,014,815,207,201,369,991,449,957,232,291,459,392,518,780,219,067,
135,187,122,351,230,488,550,528,320,087,118,258,207,712,691,235,267,141,369,
931,921,010,244,919,305,919,990,483,881,002,356,006,660,344,635,453,177,999,
999,977,066,927,220,376,020,883,888,911,534,864,320,624,240,168,386,385,218,
414,783,665,969,263,758,867,378,810,299,896,249,276,969,286,183,750,183,873,
842,128,497,667,565,540,249,150,676,847,130,227,039,965,782,552,896,163,916,
585,726,768,680,742,486,136,173,393,066,068,614,151,546,479,640,793,686,425,
304,814,521,941,516,863,256,208,499,292,496,350,110,174,215,598,695,690,179,
270,969,783,130,649,842,762,078,406,444,598,801,763,751,379,633,332,933,519,
378,242,006,217,709,728,376,204,333,063,350,742,996,585,858,442,627,967,457,
630,554,751,204,198,885,211,622,244,868,498,911,791,802,497,635,647,484,199,
911,677,900,904,409,999,273,741,797,300,410,205,603,756,893,881,877,298,937,
310,175,459,797,453,376,488,863,983,270,923,889,490,198,873,924,390,298,278,
241,297,332,643,914,429,145,801,884,456,129,433,394,997,609,009,933,137,614,
670,361,199,032,399,936,050,246,738,094,271,263,542,051,241,788,782,863,902,
535,735,895,366,961,446,692,522,721,640,922,369,432,896,875,135,344,002,938,
940,710,999,126,272,339,822,238,585,143,398,157,963,963,491,330,109,580,069,
882,496,753,314,264,848,813,307,501,742,469,599,475,660,134,274,148,486,218,
914,623,436,450,312,101,867,173,578,428,454,735,455,627,745,104,046,768,776,
976,392,303,697,573,733,110,422,870,564,715,028,440,322,366,205,795,189,427,
131,947,912,010,409,836,888,705,720,669,396,247,083,525,225,661,869,003,831,
104,244,229,160,904,492,241,530,685,346,338,031,160,384,455,698,869,456,605,
635,330,108,249,875,061,111,009,999,937,406,765,515,797,646,818,960,588,878,
477,639,521,894,777,056,045,179,681,430,655,291,571,094,975,682,416,539,132,
288,457,484,484,917,886,141,644,111,442,414,195,832,922,860,000,510,435,133,
182,710,604,812,627,136,234,241,713,193,768,544,669,923,422,864,081,806,345,
163,029,034,806,839,610,323,834,893,190,327,958,573,274,524,857,631,331,013,
745,080,941,328,027,577,878,154,199,458,639,479,350,225,945,680,301,834,710,
608,979,349,421,513,308,636,391,266,185,349,092,556,197,937,972,935,256,800,
701,185,534,619,936,896,067,920,502,369,757,968,310,731,227,265,452,802,282,
517,045,183,801,393,505,054,046,248,357,696,642,596,598,817,839,766,026,378,
599,736,751,785,859,977,621,283,362,574,285,332,760,993,667,018,889,571,603,
765,500,349,266,353,561,601,821,789,946,252,270,945,404,882,267,395,609,490,
950,671,923,925,673,137,916,619,372,853,147,598,538,784,826,000,032,456,652,
702,790,166,726,387,142,911,493,821,328,049,434,852,594,031,160,816,337,480,
453,912,613,807,262,356,085,493,532,929,160,447,692,350,054,534,878,811,816,
899,099,956,814,818,591,629,789,192,207,443,432,880,741,204,508,296,293,525,
787,859,932,018,257,673,233,507,845,337,940,130,934,176,583,155,605,363,104,
447,088,130,483,968,359,863,398,746,538,694,109,788,687,906,054,255,591,469,
687,518,200,962,577,385,292,822,400,171,420,378,781,434,066,928,772,732,581,
554,635,742,044,439,792,338,595,071,462,417,271,125,816,617,583,711,852,814,
290,370,309,019,551,065,487,924,121,837,486,863,946,805,694,606,231,971,277,
215,026,843,206,540,107,061,552,079,242,401,503,429,308,014,104,102,794,131,
985,107,927,955,654,799,952,159,221,957,380,598,248,447,891,994,379,407,145,
697,186,818,016,482,628,027,180,682,538,760,558,847,262,280,546,185,304,343,
642,123,137,585,829,308,801,139,118,835,293,583,609,035,632,103,692,425,684,
794,093,744,255,607,756,827,851,279,372,122,830,994,163,952,727,619,647,883,
715,328,664,784,030,652,741,501,756,918,590,047,050,964,989,715,258,369,856,
502,632,137,014,873,947,609,332,963,419,919,922,198,283,387,334,292,352,580,
231,620,784,228,800,231,933,684,299,492,869,757,681,008,824,449,284,504,773,
312,164,954,431,107,642,729,751,738,232,884,921,246,304,300,575,806,205,900,
930,974,801,181,843,817,465,619,221,424,817,518,791,727,726,943,440,663,778,
951,021,781,854,923,436,985,214,142,760,926,677,937,353,111,886,669,099,742,
183,924,595,680,618,729,569,997,964,481,969,822,210,366,138,409,756,523,911,
342,167,218,154,296,457,872,126,377,551,827,099,811,388,494,758,571,531,007,
286,139,874,224,376,017,610,884,293,519,001,353,582,767,583,073,860,917,721,
490,540,005,698,737,782,695,657,071,716,708,458,044,632,556,844,857,231,741,
494,547,073,434,054,090,660,903,208,603,301,440,422,404,912,178,172,951,163,
490,408,047,994,184,929,337,111,403,025,242,878,387,881,696,609,918,080,939,
852,788,849,592,100,523,148,022,905,696,343,274,993,508,974,128,043,364,068,
249,271,274,605,126,518,545,581,661,897,392,976,133,359,942,564,068,382,266,
227,830,341,826,250,231,432,630,086,134,318,529,767,133,956,366,133,382,338,
243,980,583,124,801,185,210,795,254,925,178,223,453,844,240,872,538,677,831,
490,191,475,991,184,515,424,715,409,241,578,766,982,561,212,665,680,244,436,
907,762,071,314,942,595,387,634,284,603,750,636,190,020,345,915,362,085,669,
060,418,230,647,906,868,894,766,592,890,659,426,667,150,374,403,234,124,134,
533,223,978,962,559,614,180,860,976,102,924,519,888,625,775,221,543,733,701,
457,462,798,313,004,210,579,340,881,392,467,256,149,663,012,391,095,385,375,
900,476,949,950,385,149,474,448,272,930,023,798,577,624,340,417,362,887,978,
772,459,364,507,979,819,030,656,712,989,221,156,262,156,596,925,942,272,724,
585,077,466,113,632,571,155,455,783,047,951,663,901,716,406,056,462,188,627,
001,044,983,933,232,517,653,430,430,325,132,168,199,843,321,259,064,212,351,
302,616,101,623,307,478,321,757,056,112,976,234,341,660,506,490,489,563,763,
613,653,266,557,657,787,325,742,352,708,039,542,490,263,446,149,095,871,364,
726,220,486,991,936,914,266,697,697,312,293,025,795,114,223,955,313,195,957,
735,515,281,265,521,679,909,888,321,771,075,179,531,463,857,059,038,778,800,
551,840,181,266,646,873,907,190,550,299,094,858,439,322,638,119,001,567,843,
987,914,733,937,120,190,479,989,079,601,459,572,156,842,898,881,284,342,960,
964,724,695,397,597,392,124,896,426,990,915,766,958,581,949,546,538,454,679,
618,152,695,370,941,447,072,723,991,057,605,547,424,825,791,011,604,397,399,
590,276,149,336,616,020,207,050,476,979,769,804,221,394,535,857,154,728,628,
349,370,937,928,833,150,597,999,451,160,103,174,668,160,996,875,020,625,251,
405,023,502,550,175,745,886,626,472,037,848,123,185,281,892,077,791,838,029,
792,221,735,365,249,595,340,539,758,755,006,297,738,314,588,822,982,771,268,
371,682,351,580,032,237,309,114,842,768,091,272,675,623,719,892,143,323,805,
117,383,271,162,923,780,584,351,594,133,396,785,425,117,142,621,716,218,148,
602,705,910,917,857,075,674,882,004,840,611,026,167,607,946,164,586,708,945,
339,573,495,297,629,631,732,424,090,485,670,403,953,298,712,710,619,891,916,
020,212,754,009,116,123,369,498,764,754,969,787,233,928,761,049,236,468,326,
645,592,451,424,345,041,944,189,452,303,387,673,035,316,046,477,010,155,549,
178,558,275,084,580,762,403,970,078,457,937,911,481,407,694,120,454,926,887,
573,178,973,597,464,973,496,387,998,043,963,030,342,449,244,599,481,424,792,
507,982,522,381,991,699,947,205,102,410,305,308,821,489,337,933,860,801,295,
288,093,430,337,388,254,249,521,127,123,092,029,651,226,086,888,751,348,362,
155,851,650,969,385,727,845,092,437,242,071,149,875,307,734,170,437,686,316,
066,402,902,631,399,192,720,587,609,270,649,584,461,400,188,066,287,008,112,
277,539,023,052,512,860,213,348,146,449,262,490,390,209,308,518,543,346,963,
513,167,073,286,530,781,894,402,640,630,702,676,971,615,827,960,170,628,227,
656,406,252,133,787,212,720,057,777,478,010,737,370,259,589,488,285,515,132,
531,385,148,394,182,861,779,830,890,060,847,388,976,590,406,464,873,119,534,
886,047,236,253,564,250,403,443,573,284,955,601,668,985,787,928,578,844,720,
818,220,330,434,071,499,884,826,002,414,219,793,954,324,560,520,934,240,555,
651,200,318,865,501,137,104,225,881,096,068,100,117,835,021,037,736,298,573,
000,020,633,890,289,278,517,956,318,011,994,780,905,534,364,072,828,694,594,
591,476,708,446,576,362,316,230,948,877,713,033,774,142,175,492,632,706,296,
364,841,173,334,784,037,215,404,084,797,743,086,590,219,204,642,841,023,109,
382,538,865,407,375,214,886,436,514,870,274,143,725,115,620,793,523,007,649,
617,420,010,980,466,543,493,986,704,832,026,730,495,812,689,280,433,406,392,
974,966,681,460,544,960,693,128,464,663,768,946,812,476,752,607,846,315,978,
009,580,391,011,861,780,212,105,907,500,293,426,743,528,252,693,728,990,087,
031,718,935,254,829,379,209,182,928,389,965,373,545,131,082,035,343,149,328,
181,661,029,042,261,050,992,429,894,456,759,858,983,302,464,740,207,477,695,
601,766,143,693,882,200,398,319,672,941,902,614,591,245,882,658,126,481,578,
026,059,765,449,819,554,635,233,845,773,462,606,113,411,932,971,015,067,085,
936,371,796,664,055,521,454,384,721,216,717,850,897,089,539,144,406,234,303,
669,316,892,636,086,487,078,511,617,609,188,460,892,628,535,262,891,152,712,
644,553,442,789,211,175,009,917,356,459,202,867,754,754,612,132,269,967,985,
717,240,442,107,583,528,361,765,800,091,802,982,962,278,061,557,205,345,781,
043,705,576,136,224,460,652,002,129,583,281,026,820,066,092,673,845,959,400,
111,632,515,943,210,675,050,382,628,334,277,292,896,905,597,105,743,211,804,
687,411,159,714,295,823,372,183,016,741,929,358,279,304,152,279,693,805,096,
876,757,711,612,474,701,546,438,282,827,161,858,147,132,588,896,687,991,884,
872,670,476,130,855,150,302,418,440,159,002,006,651,081,771,098,537,825,983,
997,426,771,412,055,706,485,981,368,412,661,344,932,256,271,832,103,787,474,
412,013,031,702,854,140,729,948,780,711,725,408,702,599,295,221,168,907,320,
087,521,716,026,077,538,318,341,129,105,965,470,239,020,836,307,437,708,267,
584,859,666,504,224,291,562,819,145,021,739,891,178,146,934,395,651,735,497,
904,008,160,622,617,076,284,105,330,486,139,379,848,940,703,423,784,630,468,
733,339,908,497,694,168,690,595,692,691,410,156,607,050,369,535,658,406,529,
613,181,823,575,745,027,275,663,176,510,219,034,536,964,601,256,298,362,413,
998,399,757,351,449,076,096,678,896,486,636,240,061,245,462,620,570,622,684,
223,570,547,124,398,472,402,863,006,457,035,584,892,881,329,691,632,022,379,
003,363,672,899,704,267,356,885,768,375,970,981,498,694,877,643,304,414,839,
668,584,083,325,855,110,815,171,003,209,168,841,601,626,613,467,022,762,282,
333,662,872,213,686,458,762,685,257,282,682,766,429,778,988,144,731,879,619,
482,785,815,007,233,571,235,398,173,388,080,739,275,419,870,124,516,764,513,
788,677,059,527,591,449,548,158,706,649,760,487,012,036,922,271,458,397,848,
858,923,643,165,259,911,003,119,962,349,783,933,767,282,190,714,954,177,039,
855,539,115,043,096,060,300,439,889,906,068,405,956,929,356,678,602,220,744,
742,033,754,183,001,526,364,904,323,237,862,708,017,489,062,748,667,327,610,
256,809,583,478,712,501,230,692,870,704,980,386,746,835,294,490,908,522,854,
520,552,875,903,783,608,853,490,131,066,353,277,311,823,029,639,327,924,213,
322,407,789,074,111,203,226,575,066,600,665,593,076,888,557,925,604,751,156,
448,209,900,896,217,062,429,988,919,093,071,987,621,583,123,009,402,105,996,
208,813,419,382,382,766,104,296,239,885,405,010,621,983,963,623,605,242,534,
540,699,101,091,544,400,820,803,928,220,948,669,498,821,048,618,218,932,157,
832,980,092,966,941,686,048,234,413,189,537,828,833,726,335,899,891,592,982,
497,337,060,098,004,771,885,200,040,187,807,614,473,827,364,001,053,683,740,
507,325,326,791,242,265,602,826,909,110,529,767,179,778,437,998,268,682,040,
288,311,710,724,484,621,383,132,681,792,806,285,991,714,197,573,231,873,209,
073,180,255,891,623,188,781,603,037,420,059,024,265,145,145,983,889,585,056,
039,984,842,647,147,917,364,706,142,472,013,357,638,255,477,541,809,792,766,
549,359,844,063,926,654,460,059,174,860,572,981,627,626,143,725,010,314,338,
809,194,424,288,738,529,326,608,914,805,813,718,120,196,633,460,478,471,627,
904,639,385,543,537,347,257,903,359,309,861,477,691,700,623,769,966,429,742,
658,372,857,043,856,245,732,526,407,334,365,162,240,565,273,027,969,354,711,
696,321,731,172,695,231,548,482,338,191,791,953,323,497,982,737,839,385,635,
952,943,997,252,302,551,328,006,639,783,812,276,319,693,356,233,882,003,461,
075,746,101,087,533,790,385,715,417,057,585,661,114,689,472,500,472,051,517,
258,322,767,584,269,943,155,907,716,709,457,075,215,618,163,606,104,140,384,
669,620,932,653,378,517,424,465,841,725,923,170,386,819,583,213,012,316,307,
608,715,874,720,974,325,852,699,774,945,560,484,065,725,889,157,454,617,715,
653,989,984,944,849,169,533,687,951,310,249,960,251,613,652,838,797,253,214,
179,623,453,652,306,349,614,601,827,075,140,988,258,127,917,679,623,688,237,
954,839,760,913,738,693,756,350,765,902,134,600,194,123,693,630,023,331,972,
048,872,974,746,573,461,318,106,687,129,216,220,967,556,229,825,412,296,362,
942,921,596,843,273,361,654,984,691,328,232,195,472,739,471,782,802,982,010,
592,945,339,730,811,640,033,865,967,614,392,752,044,765,898,784,070,899,513,
171,134,085,950,198,646,043,925,752,845,979,114,876,122,576,477,298,643,183,
345,301,102,288,474,782,711,412,165,109,256,936,117,992,598,043,889,919,538,
163,373,064,200,272,180,664,937,741,540,000,754,600,329,358,980,702,105,616,
160,140,777,163,888,898,652,468,909,235,597,348,803,143,534,172,517,980,778,
305,312,407,296,088,202,224,384,169,505,375,146,531,099,784,696,943,473,661,
151,723,980,126,481,939,291,906,697,681,833,243,510,642,564,338,606,236,736,
724,827,078,219,983,647,026,723,451,986,017,771,323,602,304,948,854,933,816,
466,778,999,735,248,367,579,937,128,476,157,596,192,513,362,075,520,633,215,
665,330,435,367,896,205,831,487,457,388,735,226,242,238,505,552,275,410,737,
509,677,376,700,502,476,472,931,894,033,499,422,687,486,910,631,340,149,278,
001,545,506,102,462,546,801,339,447,019,268,363,286,480,282,499,519,056,245,
927,567,317,578,994,418,771,380,162,833,272,984,601,241,362,552,299,439,108,
206,068,287,716,683,396,619,851,901,463,520,958,684,423,710,677,829,221,064,
157,217,263,041,098,954,120,861,282,859,856,640,688,478,652,712,888,517,946,
907,767,928,821,190,265,107,592,819,825,099,419,749,062,238,848,078,498,463,
418,747,796,872,059,585,285,823,679,476,479,728,370,231,737,252,235,740,930,
106,505,998,119,394,185,996,985,011,107,805,959,802,092,778,331,780,404,967,
846,066,064,377,782,600,763,991,837,575,297,420,673,564,488,724,315,705,731,
534,196,324,770,296,459,374,294,010,426,457,018,558,599,349,161,333,319,111,
226,565,217,941,449,005,919,340,321,838,679,792,643,697,031,116,692,650,845,
806,758,756,777,487,115,119,266,556,986,045,788,239,067,257,389,172,442,307,
304,218,359,898,763,368,795,743,654,102,284,627,295,559,798,855,859,316,793,
868,042,458,295,523,927,636,450,716,314,315,154,769,196,235,955,688,165,306,
537,000,243,164,541,003,427,964,335,077,059,410,153,194,037,404,542,335,913,
484,611,561,980,319,613,211,020,352,084,452,199,649,669,412,078,888,980,645,
430,258,202,011,410,721,076,361,377,008,640,956,758,551,493,086,777,002,208,
624,984,481,845,575,104,532,715,464,914,812,962,316,066,591,061,225,960,851,
581,801,156,963,588,405,797,729,976,724,080,221,451,892,339,118,763,110,074,
166,693,591,183,980,263,736,481,400,581,554,572,383,666,254,773,151,244,425,
712,476,886,955,159,890,753,697,523,277,658,971,949,154,834,537,301,103,454,
876,340,433,547,906,280,550,417,292,379,240,968,616,194,947,710,200,802,425,
495,476,219,818,118,466,164,727,444,894,518,464,261,023,840,463,957,315,604,
290,642,938,674,566,296,020,340,766,061,452,329,126,784,786,089,047,967,012,
832,880,393,099,580,693,369,748,779,861,277,658,479,994,477,903,617,356,853,
826,886,917,610,925,702,566,126,684,762,404,835,174,349,475,297,618,346,589,
173,586,027,434,593,302,666,956,330,197,335,203,920,402,637,093,024,732,365,
778,810,185,971,787,663,391,699,464,294,664,817,263,722,653,357,840,072,596,
269,558,557,372,991,445,794,730,449,663,348,836,830,636,520,518,574,107,081,
832,010,985,439,906,000,740,314,323,288,335,360,063,331,552,574,793,898,202,
058,149,600,581,773,590,537,347,386,665,804,338,186,628,404,128,267,253,249,
838,292,398,221,152,917,761,842,913,338,208,026,723,760,791,899,712,627,533,
632,499,171,544,986,027,462,813,543,164,289,872,231,182,846,807,727,492,960,
969,848,825,765,011,315,139,574,530,686,408,895,268,527,955,218,471,143,077,
107,569,887,798,738,408,950,087,408,516,218,413,837,177,917,807,334,217,376,
365,798,769,940,393,461,892,727,598,385,620,668,878,187,359,566,965,501,261,
104,715,269,143,233,555,700,867,721,800,172,539,323,239,837,140,699,771,892,
926,334,588,560,609,869,932,855,406,118,558,030,843,854,627,811,965,569,385,
065,342,428,304,217,320,795,573,325,835,152,048,804,387,481,576,934,667,566,
053,474,319,144,368,214,028,699,746,447,835,581,212,337,030,560,714,571,516,
540,676,114,601,431,963,028,065,880,094,737,730,859,409,962,349,017,069,770,
996,473,981,385,842,793,871,655,739,025,121,740,023,690,408,995,938,834,307,
165,121,736,214,214,383,587,296,957,635,422,069,853,404,302,616,027,305,914,
246,908,118,419,680,067,067,122,421,772,863,694,398,429,216,157,743,479,348,
605,763,828,795,516,745,369,179,022,237,933,239,260,295,946,206,829,067,457,
261,432,488,778,681,252,679,654,387,483,044,934,553,545,758,796,320,408,930,
752,503,148,629,312,103,571,073,765,707,861,575,413,443,674,565,737,786,739,
693,795,095,118,789,154,175,043,402,736,397,397,456,069,152,522,228,327,527,
040,350,007,071,359,217,649,531,713,671,025,477,186,223,851,989,427,971,481,
085,175,593,518,129,527,568,992,539,833,159,084,131,007,316,551,189,350,562,
744,127,028,479,092,016,892,879,992,515,140,081,113,955,746,715,647,283,603,
014,545,860,981,430,455,785,135,280,353,156,372,225,430,171,662,077,950,299,
268,101,456,999,912,065,855,330,015,392,453,196,750,396,265,956,763,005,379,
568,317,901,090,845,447,188,952,013,545,327,088,721,830,712,809,136,023,846,
784,515,353,229,697,733,477,795,130,997,717,543,556,964,945,572,032,262,965,
174,613,240,821,764,668,615,730,100,797,188,798,263,700,099,498,772,440,162,
937,864,693,804,401,588,887,288,200,352,164,482,436,168,409,869,522,019,470,
733,188,540,865,209,079,325,202,737,982,533,384,921,194,101,634,740,896,271,
655,338,915,668,583,395,719,028,050,484,377,759,426,237,555,756,045,839,902,
296,587,783,089,754,342,433,595,211,737,989,821,246,214,120,387,023,329,738,
639,699,841,980,518,465,627,762,850,182,064,928,197,806,701,408,925,972,922,
397,582,375,430,179,819,593,681,690,439,414,949,611,516,053,826,195,238,972,
083,568,150,475,104,855,594,114,583,040,658,397,031,051,081,459,193,109,965,
227,310,135,413,429,015,197,141,579,066,623,749,399,147,834,450,344,481,585,
655,256,392,657,932,784,366,149,237,039,785,541,979,522,415,070,118,391,342,
988,022,045,281,180,390,715,492,998,596,624,341,500,809,188,500,966,543,637,
417,089,819,508,053,075,071,647,527,390,285,277,965,393,793,959,748,367,920,
121,908,069,234,071,319,600,258,432,261,715,797,203,272,913,758,101,141,545,
332,085,988,852,568,308,234,580,478,221,741,271,978,053,686,156,410,757,541,
468,521,485,450,204,939,521,684,275,775,334,630,352,187,125,604,769,352,881,
982,593,494,479,371,357,797,539,151,040,183,424,048,194,941,856,704,012,044,
013,237,436,262,712,641,661,130,160,729,657,034,028,596,570,305,584,801,456,
707,374,654,386,521,720,524,782,988,566,608,264,735,543,725,711,689,848,272,
265,723,860,856,037,480,154,814,577,461,610,429,806,408,206,941,267,743,836,
692,545,927,397,469,644,187,360,665,655,179,303,605,687,741,866,284,107,627,
624,198,786,632,463,096,895,953,441,231,856,764,100,178,131,476,172,891,066,
486,063,484,421,398,201,216,896,220,050,989,371,265,845,959,929,035,736,588,
501,178,167,784,782,204,735,938,479,960,039,936,870,770,951,638,024,326,038,
974,663,220,250,349,369,051,536,662,078,927,066,808,463,311,990,722,064,915,
922,252,897,139,592,077,774,245,328,487,483,394,234,799,178,313,763,212,816,
030,579,380,138,519,870,225,754,398,178,384,254,774,873,580,575,840,134,712,
059,303,426,005,413,368,041,624,599,659,145,192,775,269,041,062,735,253,182,
587,490,118,829,528,380,095,643,299,330,542,560,279,615,110,961,451,583,102,
589,083,095,395,408,175,923,695,107,823,454,343,367,851,221,541,652,928,080,
890,113,329,196,867,846,257,746,160,433,921,094,916,008,922,131,397,807,777,
952,665,789,239,501,058,646,338,981,988,710,620,862,187,249,228,126,574,228,
701,001,738,696,431,029,799,125,497,289,519,250,033,695,287,114,659,936,712,
842,730,009,051,427,655,876,182,085,404,393,596,314,910,043,882,851,541,849,
780,472,834,278,953,090,539,440,864,576,338,760,623,393,128,201,527,621,713,
187,892,677,993,162,176,493,921,752,974,722,946,027,158,403,786,216,900,099,
684,127,248,345,879,507,694,035,332,214,074,177,743,075,675,891,941,000,968,
914,303,323,586,071,740,501,156,343,567,248,416,942,962,688,701,603,657,929,
950,728,945,394,577,467,666,159,393,788,064,876,186,461,708,542,093,375,662,
250,071,863,332,843,468,044,936,708,106,007,923,747,148,322,976,233,341,734,
397,031,421,970,643,637,972,446,488,504,257,107,977,664,198,951,229,734,109,
305,844,159,104,141,445,222,278,824,650,046,094,831,005,253,641,712,122,540,
663,402,164,242,573,886,529,265,189,936,353,473,205,844,330,565,576,402,623,
602,006,419,650,852,969,455,361,031,869,938,102,138,079,839,379,205,638,827,
608,797,136,049,416,528,957,496,851,218,946,315,968,143,097,982,361,416,757,
212,260,856,648,075,925,380,617,912,327,362,594,535,834,868,830,778,513,867,
853,326,422,421,916,724,589,413,680,572,253,200,123,653,296,766,851,839,924,
282,993,074,945,153,314,392,301,530,801,402,833,132,430,410,044,828,545,997,
658,044,628,603,608,856,653,672,185,242,479,076,177,658,863,271,394,399,506,
374,211,615,880,534,078,745,722,644,406,487,345,599,660,994,239,074,364,729,
895,935,953,025,815,525,447,784,741,463,014,837,911,743,281,358,987,764,672,
081,062,811,502,660,363,353,230,668,851,324,649,385,170,037,501,407,734,078,
208,674,457,956,827,713,174,928,811,961,499,797,468,760,915,893,414,087,875,
506,169,414,111,368,511,560,001,611,784,805,677,747,187,270,059,522,407,409,
637,168,347,593,115,829,500,205,560,941,453,700,740,451,193,142,082,609,563,
323,634,857,970,883,106,292,287,290,952,536,786,146,121,779,698,712,989,907,
462,211,039,185,268,726,767,787,024,178,552,206,975,425,202,707,457,046,789,
802,474,125,815,856,919,869,055,584,499,415,737,062,539,061,641,055,796,372,
831,320,357,382,279,775,318,579,740,716,044,523,656,568,857,778,597,448,853,
201,434,537,419,076,993,424,336,108,573,157,022,400,088,628,926,946,307,559,
158,128,498,950,297,575,791,459,325,735,072,774,379,816,584,176,068,143,557,
767,005,051,156,116,057,421,762,077,430,968,654,541,915,844,558,329,277,379,
201,587,171,051,295,533,085,490,906,474,654,148,063,508,782,248,420,265,165,
277,849,881,818,043,945,372,291,360,458,972,651,914,052,468,743,741,885,302,
088,054,839,317,070,088,295,190,351,822,705,483,713,143,721,175,146,930,388,
695,099,888,401,800,232,586,369,158,721,965,703,619,507,225,341,845,060,111,
169,175,075,287,247,059,572,002,891,361,103,665,242,259,807,812,544,520,558,
301,981,139,383,195,410,951,651,530,943,671,946,580,542,349,071,985,192,889,
241,359,739,586,348,757,429,463,768,950,662,029,541,246,195,516,467,344,120,
143,443,070,937,509,558,760,419,867,325,186,369,241,601,392,503,293,476,949,
999,885,713,985,281,858,819,200,752,819,363,199,087,326,239,715,990,145,362,
085,218,120,401,975,482,642,875,637,684,481,937,026,884,383,607,857,821,795,
578,206,237,097,551,904,538,907,159,517,662,242,963,783,264,822,681,983,636,
120,372,657,012,674,030,990,761,974,182,402,816,303,092,431,789,191,096,465,
982,636,370,102,767,719,132,329,029,853,839,017,290,252,828,862,061,821,730,
301,753,311,266,306,988,102,999,885,514,991,341,132,783,036,508,364,320,831,
306,649,296,946,799,385,366,007,529,612,222,627,835,357,816,578,442,507,358,
375,054,992,780,766,985,544,491,612,726,427,528,458,019,671,057,932,340,064,
062,834,401,083,335,166,508,452,345,808,824,359,001,379,060,835,331,600,790,
686,672,765,454,152,665,564,475,233,800,812,733,639,487,783,612,593,749,063,
519,740,288,193,034,402,017,936,096,570,974,425,009,489,578,672,623,452,898,
890,352,978,225,887,426,497,678,588,772,373,064,586,110,101,410,105,639,258,
980,449,450,720,660,030,899,254,133,355,233,785,313,158,822,637,710,973,428,
053,635,894,558,456,496,024,394,876,684,242,425,986,411,691,642,625,967,379,
934,067,733,370,874,322,053,136,503,825,703,313,428,748,138,371,136,217,376,
364,227,325,742,748,169,314,442,067,690,409,968,170,531,579,671,710,664,608,
557,757,846,346,979,097,417,939,961,475,824,472,330,805,313,018,747,374,344,
134,773,068,109,632,320,030,723,789,568,559,269,769,329,482,894,889,518,785,
897,451,831,167,879,777,003,789,928,495,980,518,686,031,899,955,651,893,209,
332,111,364,002,292,594,177,177,800,564,928,278,008,237,843,547,145,857,424,
453,023,994,437,271,527,609,758,452,427,702,287,411,490,004,374,392,623,293,
712,012,395,021,168,143,864,888,267,376,611,944,587,287,085,767,821,492,867,
073,577,166,174,725,930,025,525,459,362,577,267,103,127,143,036,632,052,501,
271,686,827,529,005,674,429,276,529,441,785,100,801,870,160,124,264,686,713,
276,706,434,178,167,470,353,398,263,387,571,570,836,024,858,057,149,724,051,
058,084,272,974,770,391,774,566,920,658,204,179,156,342,505,972,989,106,657,
361,037,784,462,562,621,268,686,326,169,702,392,961,242,484,276,958,715,427,
409,221,464,548,535,912,190,289,126,695,727,110,855,406,128,988,024,349,597,
215,727,407,524,422,340,989,026,779,851,119,150,957,005,376,133,450,103,283,
114,831,217,679,260,056,098,868,869,944,197,187,147,305,050,999,032,828,795,
552,213,061,202,223,697,551,037,548,171,178,499,088,806,046,086,337,382,090,
634,489,106,423,392,034,316,601,789,539,336,638,768,190,873,490,661,117,794,
891,442,379,731,083,460,636,864,904,687,710,208,226,209,586,966,854,101,447,
229,139,005,683,922,215,397,761,709,831,873,542,002,052,182,244,315,001,869,
132,468,510,307,769,673,303,146,631,035,568,929,436,292,105,962,229,941,233,
696,924,733,998,691,702,198,244,587,916,598,580,230,461,938,978,705,652,594,
986,237,337,278,022,682,796,020,935,627,160,435,890,363,537,943,342,979,533,
972,212,929,324,609,929,443,741,314,135,651,663,432,104,013,810,664,955,516,
893,938,770,471,769,895,502,466,384,750,204,835,090,079,348,171,816,181,041,
621,768,454,972,956,824,810,156,430,673,865,413,260,875,459,479,336,615,834,
221,068,283,704,443,925,835,869,825,239,188,697,152,151,159,179,353,912,511,
095,981,092,131,587,726,537,866,398,714,270,854,460,539,930,189,009,194,122,
494,029,585,596,380,353,892,636,314,408,374,375,818,888,961,954,418,584,026,
188,193,213,308,119,076,358,330,860,205,297,996,527,869,335,954,472,797,305,
711,956,834,796,427,830,634,598,163,824,055,113,531,277,024,415,661,998,301,
055,813,465,369,254,290,281,347,003,401,774,946,640,826,941,388,623,781,980,
222,418,812,653,671,514,950,050,762,220,159,236,080,176,241,554,339,780,930,
653,403,028,358,612,777,337,194,717,267,370,988,800,872,928,588,707,714,538,
976,380,536,009,030,640,054,483,541,103,436,851,542,011,056,172,479,774,042,
173,601,460,906,155,022,865,925,084,041,892,696,577,554,281,863,182,206,028,
275,525,700,267,026,710,565,605,304,980,135,885,348,857,160,575,829,099,210,
599,762,871,484,799,795,878,973,759,204,844,641,661,709,432,784,418,232,336,
967,730,070,721,057,555,549,416,894,807,230,737,943,405,889,427,273,566,359,
914,866,039,005,580,865,223,636,757,941,554,701,134,648,152,471,447,397,843,
323,998,520,263,384,501,441,716,822,604,282,268,255,592,655,604,494,448,629,
065,388,205,767,239,153,405,119,482,056,811,057,815,909,334,523,545,875,705,
808,576,203,932,977,894,181,148,853,262,993,874,456,104,752,588,937,127,589,
659,484,511,556,508,512,842,801,631,645,548,616,602,100,137,050,757,417,107,
354,064,663,608,726,730,966,563,542,091,608,749,298,332,504,502,317,180,477,
777,792,333,142,275,321,987,054,046,085,953,514,942,770,024,167,944,399,104,
029,183,499,680,564,012,842,658,727,046,904,939,035,139,193,057,624,163,526,
117,454,662,386,451,095,120,497,670,384,665,017,828,188,703,365,781,788,762,
129,260,291,363,126,866,770,866,193,150,793,516,403,757,041,024,596,477,274,
794,773,855,386,280,418,386,988,168,308,968,450,495,081,666,311,682,541,923,
219,235,745,096,250,139,348,893,672,851,129,665,970,114,119,682,186,396,568,
178,404,810,100,503,857,639,371,439,785,323,286,543,609,565,230,081,756,662,
600,902,789,894,423,476,945,124,898,278,785,713,695,342,293,645,108,619,571,
156,189,394,804,400,964,867,410,419,198,801,201,085,625,683,869,817,707,083,
441,306,656,243,139,418,354,140,982,339,893,438,282,711,966,917,717,538,819,
495,234,192,789,793,195,345,806,667,829,298,489,169,962,314,429,177,958,041,
280,417,455,054,211,001,356,801,211,083,673,319,092,729,771,204,766,131,498,
171,865,248,467,309,513,895,726,589,056,292,165,324,465,964,881,411,395,034,
650,743,198,362,962,703,235,142,850,476,646,502,627,926,579,888,548,731,990,
733,716,209,937,172,964,080,961,030,174,465,187,203,395,277,694,373,061,327,
639,224,713,200,145,347,487,857,527,156,572,151,484,449,635,380,146,142,286,
167,484,798,686,179,694,472,149,538,422,206,111,111,285,553,892,960,943,274,
111,080,644,577,556,487,340,795,904,484,297,098,006,360,512,758,160,926,336,
242,352,345,104,243,213,846,210,135,575,033,782,457,537,015,806,079,440,555,
131,870,552,859,695,742,257,585,331,081,639,562,264,886,351,504,622,831,751,
099,996,997,115,663,931,566,935,217,172,529,726,483,352,307,853,629,795,659,
127,810,641,825,506,127,313,858,387,573,446,216,458,099,458,279,996,695,122,
921,952,924,933,692,213,105,454,912,506,275,741,855,546,966,819,128,602,350,
215,202,263,176,476,771,100,736,020,958,062,057,176,591,456,083,802,839,956,
593,018,137,629,999,471,460,423,108,469,687,293,729,463,988,329,846,621,799,
796,480,546,319,114,449,700,347,641,272,023,279,128,286,261,181,868,696,444,
927,326,344,817,433,695,466,253,408,274,447,070,384,487,232,869,095,257,586,
620,272,595,293,905,561,914,201,075,155,467,317,161,874,485,473,764,783,204,
228,823,508,744,765,902,929,453,328,046,090,463,857,627,053,543,512,730,477,
666,510,273,580,881,613,487,795,848,348,412,398,310,151,109,792,535,931,958,
873,108,959,370,109,102,497,488,006,937,238,100,770,005,957,460,947,493,902,
200,467,359,510,701,305,170,348,472,145,213,445,082,276,806,402,868,619,349,
654,871,168,473,471,205,924,701,708,055,891,081,888,204,677,938,694,778,833,
782,329,160,038,816,740,536,085,277,715,964,024,616,284,981,318,162,537,360,
387,148,849,270,887,517,299,746,585,255,579,471,784,176,195,462,159,308,167,
061,530,297,174,249,991,438,215,571,591,568,404,572,103,480,293,742,063,983,
170,453,348,299,776,253,958,674,946,069,736,934,042,203,161,205,125,410,032,
249,069,690,745,038,024,342,602,236,536,557,933,054,327,260,134,494,032,492,
088,904,898,889,788,357,801,165,757,264,896,487,934,903,181,737,829,280,318,
857,572,815,420,206,406,790,621,999,037,063,707,366,247,570,528,590,116,452,
459,295,545,387,275,880,682,478,175,607,072,571,920,081,124,347,544,779,951,
745,214,837,720,097,755,623,732,517,834,467,791,210,387,598,350,980,953,392,
677,146,182,793,627,086,560,064,653,416,319,582,261,619,354,584,839,261,001,
919,587,558,564,218,523,922,937,536,195,186,825,536,799,005,210,658,116,078,
355,336,720,517,772,179,719,471,326,815,990,433,544,477,529,039,299,418,335,
840,331,879,486,370,360,500,822,074,786,961,198,460,755,906,665,254,657,254,
865,041,796,392,014,370,564,419,795,097,770,686,356,119,497,258,017,304,191,
826,528,086,094,435,078,124,846,451,442,077,754,598,649,697,681,587,646,502,
747,126,937,855,579,379,708,606,454,215,541,364,732,487,432,947,743,790,836,
243,569,253,885,236,267,054,034,515,982,569,931,324,932,595,658,065,495,088,
531,056,347,985,194,982,656,986,957,602,459,704,127,150,254,732,499,532,570,
262,458,755,703,862,915,442,570,204,800,433,994,226,198,544,336,039,051,966,
269,287,142,128,626,538,087,890,399,395,341,851,408,554,068,956,711,930,071,
093,748,202,500,254,999,991,110,801,472,181,628,632,520,280,221,358,457,798,
203,815,802,762,453,197,847,076,401,878,011,788,811,289,277,303,539,802,726,
450,250,068,561,239,696,243,935,810,447,486,469,327,547,955,569,579,290,027,
867,362,286,991,576,089,078,237,240,071,910,699,623,976,789,155,860,816,099,
244,181,743,107,778,393,167,328,904,427,466,164,482,092,986,520,721,516,507,
588,877,768,894,845,031,439,987,045,376,026,762,521,875,038,467,505,342,902,
415,593,621,144,463,755,206,457,240,693,599,167,731,262,356,754,661,372,738,
687,721,791,845,439,218,116,408,162,346,645,093,829,342,330,280,704,924,878,
562,865,402,985,740,655,318,238,702,409,787,070,434,967,068,593,799,662,500,
200,359,584,913,974,378,097,581,011,523,544,179,098,878,062,759,944,189,483,
563,433,488,004,164,870,754,538,545,962,195,432,802,713,693,210,756,433,451,
837,148,256,439,790,790,368,212,663,170,022,501,545,672,420,202,661,945,539,
265,943,609,471,796,458,244,368,629,468,585,202,070,203,730,849,432,276,143,
503,612,017,110,900,253,068,843,654,084,286,367,299,862,936,907,809,580,132,
993,549,249,740,972,127,747,278,090,039,344,702,001,696,641,116,452,509,023,
563,979,059,939,915,400,314,554,469,931,928,398,919,211,512,385,163,225,653,
929,338,170,627,563,068,629,263,804,866,250,961,596,424,996,078,764,383,617,
888,424,370,516,157,252,005,400,385,750,059,116,251,560,344,038,611,269,401,
041,712,800,932,369,620,699,931,323,658,947,584,968,844,217,775,985,888,292,
245,266,184,668,647,389,818,409,677,734,844,455,114,140,464,437,687,557,914,
439,760,838,163,299,075,427,575,146,959,478,409,555,565,243,384,575,486,212,
012,723,909,291,341,272,771,212,733,257,960,077,638,446,935,083,784,356,984,
194,160,199,300,616,437,546,132,704,612,213,986,444,576,905,694,892,445,937,
846,942,688,111,827,241,269,425,858,180,390,848,117,755,440,611,416,680,523,
331,690,507,606,154,769,381,971,852,022,765,967,628,467,972,684,595,917,865,
711,505,368,801,910,985,127,461,914,086,915,741,983,450,811,372,982,546,804,
346,354,127,831,917,114,397,067,685,898,080,917,417,884,282,223,259,172,606,
905,564,590,779,040,405,981,920,682,930,917,844,125,587,034,650,454,140,130,
322,158,501,979,382,401,759,582,826,440,027,363,337,794,214,155,246,621,181,
610,042,002,945,749,999,918,110,672,793,016,559,731,527,869,235,461,614,624,
842,197,367,938,702,213,549,677,767,079,047,730,879,785,066,021,640,470,145,
348,141,136,433,830,207,982,716,337,807,072,458,040,158,588,519,310,484,749,
001,615,222,878,839,605,012,205,745,559,900,889,054,059,575,125,432,959,745,
553,156,511,110,313,986,988,637,872,529,437,667,487,376,619,021,521,077,847,
644,140,468,747,737,982,633,038,894,953,141,175,559,972,949,027,802,274,648,
090,694,838,639,543,222,364,399,662,113,652,851,564,768,870,138,696,401,505,
782,933,445,982,280,461,946,581,718,814,237,486,826,791,999,603,964,257,567,
148,701,826,637,354,096,051,734,234,671,805,935,731,135,663,337,040,072,997,
490,741,421,171,644,921,305,949,138,541,430,365,563,830,319,724,024,778,051,
825,156,390,133,202,015,144,315,292,187,392,323,556,052,427,682,824,317,013,
903,420,500,113,036,534,347,916,297,149,571,546,410,016,490,277,877,102,613,
467,342,831,622,676,905,006,077,527,817,818,757,024,479,152,952,132,721,567,
191,076,855,711,570,617,800,863,364,027,492,621,287,701,626,801,699,415,521,
335,638,591,906,718,326,911,604,468,312,637,100,101,093,387,144,368,451,876,
379,635,318,503,944,835,943,330,141,966,560,025,604,611,595,687,766,694,149,
695,875,916,751,980,157,454,607,023,677,460,826,090,750,187,821,670,420,322,
091,902,919,759,795,201,272,714,035,761,408,492,028,396,075,602,604,701,920,
624,662,055,584,157,842,318,679,655,937,563,676,373,271,909,449,680,410,545,
154,392,539,958,982,033,869,420,311,305,031,490,470,335,391,979,494,701,915,
051,945,235,093,668,930,986,577,081,645,793,366,733,677,469,230,364,281,818,
360,851,286,856,020,386,992,197,375,841,005,845,913,185,620,213,190,939,160,
504,614,335,078,399,980,325,943,726,473,258,140,929,947,729,802,432,587,584,
404,445,565,835,327,943,469,885,677,193,517,051,040,701,852,409,069,407,571,
661,319,172,483,561,665,204,345,872,701,539,571,477,623,840,207,726,611,263,
602,521,003,131,971,840,698,810,081,896,466,736,072,108,754,375,589,571,832,
807,138,675,653,350,165,798,235,517,038,929,704,028,072,183,269,390,274,236,
151,730,899,495,121,595,360,892,186,097,837,417,389,894,200,868,456,943,471,
223,747,419,937,952,909,651,669,413,384,299,928,289,089,701,792,145,444,800,
666,808,866,109,141,267,542,035,855,158,027,938,610,947,641,211,666,399,462,
736,725,166,648,492,728,929,908,846,193,901,787,938,749,987,738,121,443,220,
615,981,317,600,256,955,124,403,429,659,457,449,953,325,038,628,582,631,597,
545,396,890,811,644,936,874,830,143,416,508,047,485,675,037,803,593,820,848,
867,775,129,041,211,608,853,200,749,947,781,304,223,913,741,147,538,152,251,
563,571,159,842,699,623,943,006,637,036,579,328,978,641,045,248,502,059,185,
790,239,337,615,116,671,389,501,805,500,055,029,384,992,706,185,067,502,708,
157,087,233,672,326,342,957,281,395,408,771,400,363,541,422,385,286,630,099,
060,406,978,786,286,289,186,708,635,369,387,896,991,163,078,178,333,064,726,
094,565,873,272,989,149,137,460,375,019,411,868,855,824,995,513,835,781,257,
451,215,224,229,335,471,351,627,062,628,639,541,430,045,360,013,214,340,627,
694,732,942,122,076,751,427,550,080,849,322,859,563,717,944,876,330,617,038,
623,433,045,814,537,565,135,655,537,365,830,349,834,599,080,053,037,930,412,
428,534,349,401,549,713,029,899,455,600,431,528,065,957,159,943,468,713,086,
207,277,413,348,127,899,360,147,205,258,243,244,859,803,324,388,497,052,857,
466,312,914,088,218,277,577,464,597,678,909,328,702,281,216,369,622,686,369,
304,187,359,713,688,806,683,073,646,477,745,631,576,969,067,345,681,330,023,
031,535,203,267,992,467,536,121,757,415,197,285,743,101,745,753,288,373,512,
653,181,775,887,951,485,828,131,652,966,766,489,304,078,223,281,496,463,719,
829,465,452,812,953,120,765,272,899,406,544,131,227,128,257,713,619,983,403,
834,664,886,279,243,478,117,205,860,198,710,690,993,697,096,060,663,659,810,
013,282,047,624,874,989,731,001,185,175,607,159,944,680,017,125,580,128,768,
291,064,119,859,686,196,254,545,475,924,193,483,640,770,570,937,520,592,625,
385,512,936,770,421,551,893,694,794,357,521,329,408,655,363,956,691,401,527,
294,316,064,037,082,105,960,164,915,125,652,353,372,131,910,074,324,211,025,
967,077,011,529,947,130,915,594,079,282,491,753,990,014,601,671,839,395,387,
473,962,180,289,423,742,353,712,627,911,902,442,778,064,783,482,862,597,274,
862,431,684,321,721,868,940,118,643,982,600,225,828,437,963,022,110,693,321,
080,297,058,144,072,150,354,135,584,997,269,310,980,803,826,323,642,123,525,
727,108,126,733,798,332,805,232,247,068,080,418,145,915,817,446,027,410,712,
350,724,874,309,905,035,237,531,997,223,917,879,051,925,576,021,361,362,539,
090,171,182,389,621,866,814,584,999,119,152,221,946,787,693,238,869,954,798,
917,341,261,150,054,461,654,915,051,433,893,650,003,985,265,445,868,260,872,
773,578,652,294,290,066,921,510,340,612,282,901,221,545,638,349,154,951,982,
556,188,154,758,960,752,936,579,882,063,348,916,932,605,346,267,937,040,526,
670,259,615,766,335,516,626,642,054,288,032,459,102,581,250,390,052,460,477,
336,584,493,906,781,247,781,978,294,754,068,534,064,450,396,414,018,860,328,
498,894,472,839,428,639,524,813,885,313,945,452,560,725,161,040,548,434,339,
293,174,794,775,554,080,973,482,931,894,631,431,232,231,045,884,270,405,187,
440,133,094,615,380,302,163,387,025,716,554,988,258,870,621,293,615,970,869,
885,984,642,852,372,551,077,827,035,502,793,582,586,741,613,624,614,318,704,
048,874,129,800,784,174,624,167,349,896,629,891,167,488,606,434,849,260,993,
506,325,766,994,711,134,147,771,957,065,290,047,583,316,877,973,716,760,679,
403,612,853,895,463,544,452,374,997,155,774,103,464,760,494,494,741,877,376,
552,180,069,258,297,452,568,326,053,900,591,114,096,100,739,890,918,750,444,
128,917,507,460,286,330,760,407,783,550,230,392,214,589,453,321,954,268,797,
088,270,316,924,550,539,637,270,123,124,530,328,711,831,706,810,898,924,463,
157,154,799,303,161,734,373,694,332,282,769,260,258,951,376,103,000,308,020,
055,140,072,817,147,240,735,414,860,279,708,120,299,100,476,734,395,008,545,
948,750,229,851,671,430,295,902,215,803,568,499,563,255,765,314,339,778,508,
351,868,707,653,069,329,384,695,475,455,221,463,595,151,025,198,968,404,547,
378,062,178,594,594,284,990,222,833,011,967,989,328,418,421,007,292,102,629,
250,463,625,082,067,728,055,147,321,014,190,107,285,894,324,772,492,190,584,
986,306,087,247,776,918,406,969,675,137,831,103,718,286,255,509,984,104,294,
073,229,603,029,928,380,330,429,145,390,408,376,463,534,447,310,512,643,380,
379,617,460,558,244,299,021,300,250,910,572,592,630,519,783,139,487,559,505,
982,579,592,541,473,001,558,495,854,796,711,272,243,497,277,706,477,438,532,
373,737,497,992,025,751,784,636,809,472,890,076,284,005,073,990,409,368,732,
424,670,106,644,226,329,897,409,177,149,480,634,536,853,644,755,298,525,774,
564,713,098,373,996,406,601,026,798,794,300,320,407,384,193,120,262,453,219,
468,292,639,412,747,347,679,398,750,906,931,033,030,338,198,919,359,021,403,
736,758,578,680,475,751,197,031,218,059,360,393,241,234,041,193,386,931,553,
679,275,610,743,046,962,002,131,855,478,143,091,632,640,765,700,819,765,299,
878,776,861,625,995,251,263,856,871,043,497,450,996,771,570,820,846,262,716,
873,437,681,801,737,769,364,087,769,636,173,380,359,993,882,251,391,091,916,
774,261,432,075,446,200,039,280,136,731,447,443,067,198,865,556,913,575,630,
970,010,943,145,845,259,545,361,409,773,982,611,193,912,839,074,352,200,921,
720,788,389,590,166,336,661,888,052,368,110,695,605,412,644,879,629,912,919,
901,406,734,516,146,158,876,339,708,561,269,551,483,715,524,941,240,035,061,
398,647,748,652,822,152,896,274,244,390,710,014,150,491,119,474,252,185,288,
677,554,931,354,970,200,840,853,272,804,919,473,483,075,821,325,496,123,698,
182,126,969,799,808,215,707,687,559,089,573,571,984,465,284,533,143,342,175,
502,991,762,406,211,187,145,647,753,756,923,580,262,631,734,167,958,350,464,
941,715,555,952,296,449,237,078,176,925,056,190,167,864,984,315,659,689,392,
500,734,414,526,499,041,939,407,748,856,254,269,506,859,682,723,214,576,209,
491,919,896,510,420,692,340,967,800,565,125,479,792,587,539,620,785,918,302,
426,526,478,897,042,286,166,278,446,162,117,014,321,240,371,122,357,278,046,
128,084,357,456,277,313,153,861,303,120,943,620,645,537,993,759,482,673,408,
929,300,782,778,784,424,762,050,218,071,968,027,615,711,586,372,691,480,987,
612,232,549,958,185,056,113,990,685,927,662,916,712,189,758,885,380,719,080,
020,960,772,818,064,281,216,144,684,595,949,567,214,466,746,065,760,553,077,
359,661,010,020,840,623,012,526,376,964,072,591,866,744,873,000,794,172,232,
658,206,629,274,726,289,795,532,064,978,843,380,068,552,282,512,380,184,042,
477,055,753,068,416,184,750,349,387,766,996,029,776,121,707,309,246,134,328,
439,791,730,053,337,881,336,536,093,725,782,119,131,158,462,491,553,827,446,
181,204,517,712,426,582,613,491,305,745,966,756,129,928,961,595,785,037,123,
564,768,604,819,352,456,067,475,040,149,594,927,170,577,956,115,180,991,452,
845,142,164,173,921,865,305,488,503,667,709,714,292,054,078,810,514,685,653,
927,374,892,075,393,126,317,483,669,838,390,722,097,066,354,182,856,136,460,
971,847,503,021,241,185,491,115,306,040,728,329,005,154,829,446,230,217,304,
453,374,369,187,529,586,767,719,776,849,459,059,830,815,879,107,692,191,551,
131,215,235,546,143,367,756,451,838,803,078,604,561,456,562,495,757,145,729,
297,093,316,301,030,863,501,155,620,391,041,460,388,180,385,166,873,760,165,
940,050,384,998,291,030,683,347,971,868,788,897,616,867,995,287,783,047,984,
240,267,022,899,099,360,676,643,657,304,848,205,973,184,934,025,021,230,786,
171,096,177,065,407,471,778,442,995,533,018,140,007,734,147,719,402,353,402,
867,232,063,749,825,979,627,028,793,466,830,909,142,754,597,656,311,643,825,
208,753,245,209,895,345,785,367,622,402,268,611,248,678,527,176,189,763,307,
735,989,003,435,754,480,456,471,090,897,151,390,592,369,301,258,237,263,870,
747,142,778,765,373,271,849,563,619,166,560,243,366,301,293,063,988,307,672,
763,809,421,670,443,335,262,386,420,293,898,840,914,415,154,996,311,266,543,
952,374,360,696,521,595,229,627,729,884,856,219,790,132,762,235,861,275,479,
595,558,615,412,696,080,084,228,468,152,724,332,741,760,332,145,280,395,900,
903,909,405,838,148,345,662,236,891,017,875,599,262,783,845,721,591,867,864,
785,607,405,582,492,035,380,242,749,449,135,432,158,508,763,876,345,679,277,
948,623,526,102,063,640,612,812,980,193,408,141,137,869,395,532,359,996,578,
807,400,282,949,127,224,324,080,798,424,377,604,656,166,078,120,246,259,124,
515,438,218,186,004,760,383,279,781,679,235,357,907,198,821,811,623,520,020,
017,894,713,983,962,314,510,117,930,843,364,505,298,563,771,049,872,793,959,
310,405,719,964,664,444,913,160,115,771,127,972,509,180,630,108,721,188,567,
616,583,909,202,601,826,084,366,166,731,440,927,604,357,720,655,912,297,534,
462,223,701,022,258,728,596,418,507,662,078,205,826,593,733,304,649,602,290,
056,620,783,210,152,387,013,327,890,248,093,036,246,262,317,836,459,963,302,
752,047,430,448,748,906,871,253,238,980,096,005,264,267,779,755,198,050,735,
293,822,860,670,224,701,227,827,757,514,803,559,014,564,057,751,246,668,036,
077,483,779,994,879,977,460,541,407,107,546,448,997,578,133,351,391,028,187,
796,864,047,387,459,916,206,893,270,856,117,037,826,418,496,074,970,445,187,
247,569,806,883,682,732,299,408,185,482,158,260,183,939,730,201,869,724,359,
325,243,742,592,500,253,699,671,983,734,677,060,885,584,560,579,738,390,591,
652,676,469,068,712,463,390,627,761,959,168,068,549,332,867,851,527,628,731,
513,190,878,471,891,721,862,189,314,217,139,953,187,198,384,795,206,018,741,
078,949,774,653,125,591,962,011,280,760,146,544,338,244,102,863,389,023,395,
849,981,828,395,326,208,102,379,646,802,736,095,106,262,524,602,709,106,756,
559,346,048,053,683,072,155,725,861,677,985,727,008,739,978,592,020,800,881,
328,198,955,932,670,611,275,833,873,448,004,652,945,107,266,694,485,789,232,
608,392,557,500,582,720,475,039,621,715,308,784,844,985,932,627,084,980,594,
700,346,601,840,363,677,825,738,904,699,357,387,526,499,685,853,463,686,217,
874,077,025,668,342,596,845,562,599,367,602,243,556,178,951,018,584,671,761,
866,008,148,436,750,463,105,710,272,823,955,790,972,323,089,580,881,906,261,
702,472,223,356,469,930,592,399,696,193,194,660,526,513,817,044,868,385,038,
361,591,165,100,904,414,304,540,439,528,884,500,784,096,651,577,691,767,545,
988,746,370,195,405,885,175,474,699,670,943,817,387,302,025,175,743,807,780,
215,020,354,929,362,568,135,458,506,960,898,858,802,362,901,318,706,757,082,
435,714,720,443,359,254,034,759,794,834,745,396,693,867,339,903,042,835,597,
743,651,970,265,827,885,867,277,356,403,183,437,350,022,173,223,892,435,037,
254,200,084,847,580,578,322,934,941,929,556,986,074,342,016,711,843,529,966,
991,118,571,747,082,760,504,684,124,540,132,469,513,890,989,035,073,726,049,
944,404,932,064,268,624,866,037,968,897,592,937,835,488,736,797,436,583,059,
680,650,670,105,588,713,081,337,129,281,306,241,295,872,696,271,280,110,841,
613,850,061,044,217,070,703,503,201,235,192,694,049,114,106,234,503,430,085,
504,128,800,650,693,380,790,551,107,384,356,081,250,072,196,543,381,696,605,
486,673,795,547,685,982,837,749,381,857,261,509,964,975,866,476,193,468,320,
984,107,476,688,231,728,167,755,337,415,651,969,197,703,567,279,516,281,152,
575,018,688,137,791,946,318,361,995,038,651,456,004,100,535,839,549,479,744,
805,065,940,343,063,217,286,522,194,506,277,094,419,292,341,660,910,550,902,
659,573,988,594,388,859,407,659,045,433,264,669,395,543,925,436,992,563,579,
055,015,867,231,583,551,221,935,912,343,735,221,357,479,341,605,114,995,330,
887,469,931,923,756,158,626,738,954,458,913,625,410,173,289,036,377,218,611,
236,850,057,789,363,065,476,769,020,276,318,587,635,551,156,243,260,079,416,
906,074,252,519,426,100,183,123,927,287,162,123,558,129,069,706,750,505,150,
104,659,402,321,279,048,707,677,530,613,235,920,713,158,086,600,273,641,033,
326,743,070,946,528,084,524,585,336,745,874,660,044,996,854,396,372,861,659,
098,168,453,318,150,698,714,125,590,357,125,248,614,230,563,297,114,473,670,
921,096,800,528,981,081,415,318,524,815,319,989,831,017,949,406,301,833,989,
058,944,170,562,649,027,308,615,324,591,744,232,227,138,184,923,246,902,305,
022,323,126,543,404,993,174,597,959,957,662,246,639,927,995,151,067,586,371,
945,199,037,503,399,762,304,712,526,400,747,837,321,455,743,286,151,742,242,
071,202,562,046,881,721,735,143,681,574,876,833,626,836,497,628,825,497,513,
067,637,681,879,433,170,910,502,808,145,646,717,140,253,207,900,704,435,615,
249,971,193,370,292,423,897,408,434,636,144,077,105,224,005,120,532,738,658,
524,465,095,320,769,059,944,612,603,654,018,896,959,154,894,959,948,728,840,
950,987,424,014,579,423,726,226,768,938,907,904,163,914,597,359,821,345,933,
796,886,331,095,003,558,888,460,023,853,353,349,454,938,116,055,434,000,072,
500,064,241,337,472,612,358,949,427,181,588,495,378,226,513,918,809,673,787,
040,038,010,243,841,948,948,681,976,882,380,893,485,078,207,426,364,930,369,
325,761,546,200,723,454,183,951,192,933,367,695,678,236,533,795,944,999,967,
962,190,486,142,852,135,048,830,127,496,155,702,613,127,154,361,553,419,356,
295,665,012,020,757,850,047,846,579,508,522,189,642,722,463,115,476,383,762,
603,968,831,576,147,490,315,211,065,264,510,307,058,183,184,708,563,627,727,
531,705,855,815,776,610,342,427,398,034,387,155,295,163,277,082,878,251,450,
095,653,174,881,388,669,831,737,924,428,580,788,841,587,258,911,174,555,735,
808,445,034,840,324,547,985,486,516,526,598,415,375,192,084,349,444,283,526,
362,306,429,143,922,662,948,830,724,359,379,200,668,028,392,328,446,920,640,
648,455,211,247,872,936,952,285,140,182,192,407,445,320,771,527,906,490,098,
747,131,440,368,513,707,839,590,262,122,395,934,105,666,962,273,282,926,056,
201,584,567,479,692,592,085,914,855,336,349,829,111,829,661,280,558,513,434,
349,760,081,453,616,247,022,396,645,958,088,510,096,828,583,101,787,468,431,
111,956,130,247,638,671,805,426,717,883,153,173,279,729,689,412,709,890,832,
981,514,406,691,604,241,366,651,586,069,412,202,139,222,707,306,414,119,912,
584,850,277,284,404,372,276,473,926,864,735,973,074,127,819,759,341,156,421,
677,113,353,102,531,317,289,142,744,188,753,288,468,115,107,426,519,061,544,
152,413,496,242,515,238,583,251,526,551,165,879,264,549,377,721,140,676,213,
486,654,392,940,560,942,572,169,532,782,874,607,075,032,822,366,498,237,946,
243,287,592,959,815,961,977,320,383,026,904,981,612,890,411,095,364,028,480,
423,764,567,019,993,857,125,371,754,408,255,266,881,950,453,048,849,071,490,
925,602,206,539,211,580,005,864,463,270,830,289,580,723,315,488,193,854,384,
230,402,824,030,126,687,363,485,096,729,227,006,121,917,724,503,828,006,996,
836,930,668,782,720,600,312,287,293,423,773,128,148,026,491,316,518,546,424,
144,461,622,573,949,854,833,432,637,450,845,546,829,179,255,977,162,018,154,
304,732,190,224,936,891,836,239,696,166,537,737,004,902,521,934,466,204,557,
731,051,366,364,666,763,220,841,453,106,640,257,585,596,371,207,128,628,358,
032,118,113,184,894,215,569,262,837,606,003,547,477,079,890,763,557,769,568,
157,603,575,215,748,232,775,114,047,964,533,418,857,756,903,558,430,406,107,
366,883,090,566,956,551,786,913,613,766,131,859,779,133,912,304,557,713,574,
908,124,615,758,040,239,035,230,669,176,855,852,706,575,643,854,714,200,910,
084,240,768,708,639,075,004,261,729,936,791,682,146,041,023,852,497,425,878,
674,592,466,966,849,513,711,767,087,726,674,420,045,924,279,402,816,820,159,
054,241,181,628,935,812,327,897,002,565,998,459,756,536,621,642,100,834,159,
001,424,054,441,582,026,979,534,993,055,913,801,244,974,589,631,932,433,446,
729,367,127,201,032,951,007,746,724,719,396,515,327,444,974,525,905,129,854,
720,079,471,355,323,621,940,544,637,558,932,939,046,163,517,429,865,058,874,
781,375,867,802,772,771,542,997,218,494,624,898,213,061,176,894,248,575,189,
947,744,995,553,562,595,202,984,146,747,048,021,511,631,504,841,981,054,106,
506,445,211,730,227,977,211,262,969,338,419,479,403,132,348,975,962,913,598,
113,123,269,659,268,300,869,574,898,983,584,745,154,479,716,083,454,118,643,
758,658,620,370,095,623,332,619,709,828,522,592,087,180,264,913,547,001,514,
918,433,474,621,160,367,188,731,191,368,713,704,350,075,292,754,137,515,292,
367,187,474,006,435,273,173,888,676,417,091,220,383,672,509,865,472,758,887,
616,276,233,886,124,060,281,030,955,751,683,869,137,396,619,408,261,650,503,
253,690,447,874,286,365,800,139,637,290,475,847,789,778,202,649,175,444,029,
620,281,714,617,596,811,891,415,328,379,619,937,991,684,890,452,338,197,484,
411,010,604,793,985,289,907,502,019,103,014,172,661,541,266,975,152,233,109,
170,976,151,803,069,246,191,222,298,961,783,634,451,192,293,976,590,900,808,
964,684,804,775,067,981,615,777,647,435,524,463,292,477,359,859,624,520,714,
284,403,120,306,877,016,528,306,314,830,865,805,340,333,420,022,414,350,116,
506,449,720,564,585,383,578,998,865,764,039,429,205,529,785,269,061,675,361,
635,336,549,865,347,655,901,008,569,547,634,777,983,618,558,883,088,508,831,
721,369,141,871,080,879,388,220,449,885,091,290,778,807,393,530,596,570,843,
449,786,265,700,361,195,978,583,407,253,600,387,390,447,217,422,459,856,201,
184,319,221,534,802,633,819,510,428,415,180,728,300,375,880,932,522,270,483,
345,491,719,719,253,162,499,413,984,985,959,611,287,305,635,770,567,929,262,
013,482,915,602,296,376,251,136,055,173,844,040,370,924,316,862,232,349,975,
779,995,469,382,165,421,019,100,970,004,914,521,252,923,942,549,103,656,993,
173,596,023,582,774,226,616,799,330,344,027,858,190,026,191,663,482,702,263,
785,191,417,902,056,333,580,627,006,331,339,656,670,906,434,272,511,766,138,
564,008,815,895,325,955,503,694,848,270,962,769,601,025,175,533,326,579,670,
348,284,167,603,975,705,662,198,030,724,684,880,410,781,318,264,975,583,883,
896,361,813,732,056,707,596,327,473,060,927,754,483,301,417,952,100,052,003,
829,380,842,582,477,029,179,943,308,900,037,967,269,153,343,561,358,528,322,
086,185,306,798,133,898,734,345,153,744,080,304,132,675,427,032,635,372,798,
852,801,593,593,362,324,562,504,395,180,599,625,769,201,476,620,001,519,241,
139,369,089,495,954,685,316,772,111,936,441,844,580,164,403,496,138,362,737,
311,331,127,912,855,997,125,509,890,031,908,429,885,913,247,678,840,912,155,
899,047,103,775,130,141,292,559,536,989,509,535,031,253,516,116,535,272,709,
854,117,520,854,066,499,164,708,840,186,874,530,307,455,809,933,663,172,276,
579,098,941,693,466,893,519,226,067,155,426,862,794,889,613,775,117,734,294,
904,651,467,622,601,244,687,166,591,315,466,953,808,566,716,575,978,266,273,
432,256,806,846,655,019,143,833,388,025,453,324,964,596,251,950,027,844,659,
022,916,936,588,760,934,497,936,999,545,058,180,345,736,130,953,895,757,501,
449,303,482,579,404,858,200,203,744,610,295,843,687,758,087,369,581,742,903,
867,076,291,619,497,947,019,767,436,033,904,524,871,266,079,940,707,235,906,
820,307,602,790,447,075,444,390,351,905,136,452,243,733,162,932,784,566,938,
468,261,141,910,540,539,715,529,642,474,072,762,475,901,519,616,356,739,357,
173,247,904,041,121,339,808,099,317,756,184,611,943,705,044,607,460,263,860,
437,827,472,231,030,878,125,413,739,020,843,862,077,180,059,950,023,719,397,
089,347,440,693,328,324,987,555,677,373,396,984,097,898,415,856,743,466,772,
978,643,834,239,444,910,936,277,680,572,424,216,113,244,530,964,416,795,921,
489,405,983,739,286,868,817,412,693,695,578,851,330,671,300,029,327,594,556,
732,018,059,410,948,309,130,519,600,245,691,448,237,802,536,461,958,539,377,
879,782,320,700,784,072,628,348,333,893,404,762,900,209,782,000,996,036,809,
792,640,428,544,562,644,409,844,597,093,053,701,453,598,372,375,277,568,887,
682,883,983,892,181,828,790,735,392,865,943,208,191,187,199,389,062,628,096,
468,852,790,943,674,704,050,494,243,539,979,772,546,463,317,412,684,762,847,
720,681,627,319,578,359,742,064,466,264,243,330,260,244,672,740,120,411,768,
571,121,855,192,234,612,882,936,835,194,271,090,309,055,417,310,844,858,553,
599,529,486,583,743,921,408,509,318,120,163,258,884,028,023,630,726,501,876,
248,748,621,422,488,613,903,678,969,072,593,548,899,772,156,977,216,420,176,
320,836,278,004,567,569,149,551,196,010,017,791,120,809,277,491,235,707,280,
960,009,255,720,531,508,999,665,403,651,907,486,475,703,842,203,736,771,821,
307,379,835,257,831,851,835,318,214,737,737,872,730,737,727,034,418,009,289,
240,759,605,827,941,430,722,065,083,222,462,205,604,660,156,432,429,706,318,
897,014,603,317,975,310,590,808,244,279,810,437,959,511,356,204,928,741,173,
158,199,946,651,344,350,321,669,657,410,191,664,254,510,398,308,652,773,859,
187,259,977,963,272,056,537,187,072,847,938,132,494,175,720,259,700,779,570,
413,630,405,277,483,801,839,511,268,822,127,372,912,747,222,445,903,017,559,
603,032,532,855,584,523,754,215,095,137,232,663,689,710,918,443,583,166,649,
411,365,813,827,846,468,456,964,476,145,331,122,442,785,278,818,555,075,188,
371,454,996,263,057,124,740,979,776,812,845,096,952,611,303,402,710,273,891,
731,721,227,610,646,001,873,478,799,252,657,431,869,667,568,697,735,137,749,
365,793,060,663,504,063,109,004,318,678,155,207,350,357,691,686,281,399,871,
996,924,842,219,227,764,825,249,012,494,096,545,125,214,023,409,398,623,890,
260,392,599,636,765,933,822,104,228,295,200,355,499,455,703,400,583,163,483,
663,927,779,818,169,158,649,346,975,143,947,951,112,611,306,632,218,357,656,
774,422,300,184,695,800,662,322,590,997,750,247,169,320,796,975,381,713,004,
101,928,895,904,314,524,947,791,656,639,361,969,761,742,741,915,813,496,483,
895,325,253,523,115,515,676,765,262,358,898,325,097,879,730,567,404,489,793,
153,979,490,341,430,930,746,354,434,529,533,757,621,954,436,484,756,447,963,
132,347,233,277,545,629,660,301,686,633,062,036,546,934,044,604,804,147,356,
117,190,206,736,926,722,172,656,863,554,905,774,599,155,350,784,864,420,092,
942,541,071,096,905,285,809,843,534,347,082,335,354,069,606,231,800,382,743,
050,356,577,902,460,469,739,612,689,434,236,911,977,644,596,468,573,051,393,
312,607,078,203,334,029,298,154,077,997,105,240,623,474,948,022,569,373,293,
771,364,010,074,263,152,027,721,488,162,783,110,871,012,171,731,975,625,108,
033,872,088,911,291,091,994,713,780,651,551,570,576,607,934,995,213,755,770,
764,896,913,227,018,423,256,713,323,528,478,862,032,106,552,001,080,825,330,
026,968,668,314,294,133,526,428,473,538,962,403,998,728,645,584,477,184,951,
392,214,717,206,467,974,241,878,357,632,543,476,556,070,593,129,233,429,203,
919,364,264,727,444,928,717,925,998,163,911,505,524,107,559,638,206,361,128,
877,144,711,221,036,336,570,776,144,577,299,007,705,420,004,181,333,961,851,
777,773,717,843,027,027,821,522,886,234,549,166,758,426,046,887,649,117,782,
080,515,803,931,550,759,703,127,866,359,437,558,683,488,935,698,747,464,965,
836,174,585,944,518,499,447,972,789,314,906,626,986,831,455,858,048,019,991,
033,579,402,943,201,729,389,921,713,251,370,240,929,960,783,393,284,228,050,
344,840,219,163,244,785,902,239,155,501,323,461,751,946,046,759,799,996,738,
900,389,120,612,402,909,321,609,657,217,974,464,061,771,541,135,355,493,279,
746,379,795,239,311,116,953,931,143,053,958,858,788,812,001,726,532,970,774,
801,402,878,444,816,166,262,577,518,815,484,170,457,441,537,485,749,353,169,
719,920,528,353,514,461,806,779,003,955,414,883,140,575,119,588,626,390,153,
928,334,270,134,975,817,672,207,615,262,824,958,175,268,108,000,068,153,161,
583,529,933,022,205,543,356,261,331,125,935,725,264,019,981,327,216,188,652,
099,853,779,026,632,144,337,408,815,276,707,788,562,066,616,148,324,875,812,
841,381,759,260,348,123,791,622,658,467,974,260,344,449,391,115,852,936,539,
892,050,331,668,900,118,974,123,315,327,032,065,839,742,719,801,675,531,102,
770,811,789,248,827,415,993,859,497,925,792,440,376,779,637,205,287,419,071,
970,615,704,902,580,828,681,926,545,472,761,175,521,386,657,532,235,140,420,
960,232,809,146,127,935,867,380,089,339,183,415,075,382,787,843,927,713,669,
705,350,564,222,413,012,429,332,742,848,484,048,372,614,782,480,752,235,238,
757,302,965,915,784,260,999,392,225,967,048,615,361,574,903,486,683,289,419,
279,200,049,951,508,492,701,535,039,549,275,232,163,092,317,654,773,065,062,
018,429,179,668,967,145,285,901,152,658,437,030,241,225,148,621,388,784,603,
401,694,564,156,215,903,047,025,704,839,237,799,576,673,456,951,693,550,331,
850,751,180,180,246,899,028,737,895,315,107,539,937,688,932,124,447,392,134,
437,728,236,334,597,624,304,182,519,977,927,241,577,592,447,689,686,752,189,
584,632,816,957,744,692,371,007,523,866,769,797,460,496,163,601,488,506,471,
015,716,805,319,855,146,013,878,325,476,940,812,546,215,609,226,031,211,480,
369,916,181,169,155,781,146,179,079,417,988,827,271,084,480,868,550,155,957,
478,838,396,646,637,161,524,222,883,924,383,182,496,425,497,457,726,029,716,
579,901,755,654,426,552,118,207,126,137,911,423,443,184,728,177,067,307,807,
849,073,066,169,784,165,762,275,660,035,356,765,883,840,034,009,373,980,542,
519,910,429,720,090,221,228,042,024,017,195,019,641,484,142,368,221,506,099,
283,531,890,881,538,178,300,073,659,962,049,100,094,344,929,051,376,111,983,
278,332,908,991,652,595,319,384,471,907,717,982,754,465,828,482,144,324,208,
789,270,891,260,917,681,582,627,896,075,684,529,198,663,607,893,376,094,373,
239,925,160,447,671,693,600,221,572,975,294,243,419,458,203,482,423,486,766,
535,878,224,024,768,454,022,178,724,858,126,117,689,898,910,996,691,167,809,
978,661,225,407,332,076,541,420,161,588,596,611,522,708,708,671,205,465,443,
300,905,511,164,639,171,455,029,226,265,556,596,905,732,418,717,875,256,732,
169,139,259,099,298,891,289,191,640,256,145,056,793,374,402,255,447,526,375,
087,919,919,774,956,822,911,177,516,766,021,867,571,621,886,923,288,728,465,
177,366,458,930,617,423,491,842,117,064,873,496,764,561,619,220,250,087,283,
819,610,540,248,336,967,343,508,504,678,539,416,736,791,024,723,370,650,444,
698,576,478,785,999,555,542,508,351,302,919,693,304,893,724,512,993,468,261,
930,212,357,047,587,245,113,394,588,563,978,272,686,335,337,369,605,594,332,
087,643,164,848,894,392,482,249,311,642,072,253,616,757,857,144,951,837,900,
131,350,382,036,556,135,538,296,941,585,418,339,002,994,165,160,332,498,804,
165,996,847,603,869,278,363,249,297,343,894,027,482,359,310,190,952,305,554,
489,825,628,767,014,130,906,817,985,216,574,851,020,931,811,092,028,520,651,
441,176,827,645,861,523,891,991,461,799,025,185,584,213,136,910,365,754,936,
614,858,922,062,253,679,728,812,920,245,659,837,549,880,050,642,788,771,257,
339,274,629,799,748,059,801,940,200,864,766,848,958,219,458,903,008,293,079,
240,215,835,397,591,309,332,429,673,900,276,273,005,051,415,670,530,052,448,
691,121,603,470,251,440,037,605,330,904,870,150,562,839,842,980,054,662,822,
125,378,278,385,654,501,867,713,516,428,885,232,418,446,174,768,299,680,214,
644,677,311,282,059,756,446,882,142,154,767,571,506,286,604,918,138,521,365,
813,803,762,584,690,811,984,681,767,050,768,108,787,347,967,162,737,717,523,
860,732,106,155,260,841,643,820,897,351,685,737,694,705,276,265,078,390,279,
034,929,295,512,223,844,478,467,338,052,501,774,509,008,408,640,381,676,593,
346,016,171,273,368,212,996,483,681,173,169,046,372,352,966,410,972,515,991,
974,717,472,659,595,086,619,712,927,862,031,746,177,827,245,502,114,893,681,
023,467,129,720,568,061,331,522,839,929,866,024,399,279,745,740,300,782,414,
256,976,365,263,643,784,743,157,932,162,657,485,513,320,378,195,417,208,790,
157,875,758,255,538,701,420,243,342,905,435,128,408,545,128,714,948,468,156,
136,385,629,432,165,205,942,745,346,655,727,206,005,371,618,505,055,770,714,
272,941,889,349,156,312,960,252,337,999,755,199,304,422,889,449,094,303,910,
919,648,646,512,445,141,885,875,732,014,668,981,134,798,104,905,388,686,209,
995,969,521,091,764,177,693,899,065,846,076,955,146,025,747,164,827,255,440,
575,248,781,160,653,751,389,399,875,866,983,935,768,138,092,795,608,454,737,
981,276,962,662,723,851,129,834,013,478,450,631,908,467,113,892,642,101,813,
272,590,208,892,592,086,845,266,930,213,192,874,955,120,649,542,140,482,905,
757,125,186,487,152,780,695,620,895,022,900,623,451,913,858,979,712,187,930,
834,278,647,596,456,993,384,590,154,454,037,032,015,695,905,546,178,203,343,
697,784,642,541,035,039,270,058,767,403,368,528,946,990,994,224,800,140,733,
958,316,436,608,281,578,705,064,695,150,885,807,346,013,693,375,932,629,094,
834,147,187,155,556,116,553,711,553,567,642,378,364,539,180,824,790,885,603,
698,723,736,378,323,612,008,776,417,394,836,202,671,601,928,373,902,564,061,
957,753,086,570,741,376,160,357,937,972,789,883,571,466,966,089,999,513,151,
056,312,526,558,605,970,724,055,585,730,165,588,876,767,339,849,307,070,066,
015,758,909,256,934,393,721,999,048,422,769,802,723,674,506,879,735,776,287,
817,807,082,311,507,641,057,080,248,302,706,598,448,875,517,287,453,008,196,
979,969,530,840,333,830,507,800,637,672,196,459,404,360,010,174,320,072,514,
513,324,942,028,763,112,946,918,131,563,880,836,107,634,281,048,697,190,652,
703,764,938,863,456,575,549,796,272,258,739,102,501,754,302,542,860,932,314,
101,347,626,424,961,183,749,547,702,715,402,038,714,488,928,474,179,553,082,
013,673,868,453,474,343,558,021,720,647,545,725,323,480,895,811,485,919,077,
935,456,783,227,368,588,226,490,485,892,526,535,556,645,238,727,970,067,028,
171,318,114,496,189,390,844,349,712,561,651,623,023,478,790,173,652,046,651,
646,264,818,514,606,377,365,529,119,289,354,414,616,810,780,151,511,944,712,
212,540,141,739,507,964,186,578,258,434,160,231,033,616,056,823,799,863,316,
334,473,497,277,875,118,861,778,275,483,020,124,716,676,233,594,566,184,857,
858,870,689,675,541,945,348,403,374,682,065,989,374,937,514,687,560,989,108,
554,295,008,315,752,988,992,798,707,529,130,034,926,490,635,695,244,394,798,
952,920,937,743,078,093,369,647,391,197,558,626,520,511,819,109,412,750,285,
274,637,432,452,353,023,722,401,774,735,358,720,815,477,705,449,916,690,273,
569,728,113,910,856,620,157,870,109,184,194,183,601,485,147,091,036,395,936,
601,532,372,996,442,100,701,896,780,310,035,464,276,095,526,623,376,524,585,
549,843,814,038,473,931,242,277,893,483,167,952,925,266,635,576,927,636,106,
382,091,338,847,948,197,124,415,754,722,533,403,550,846,180,205,761,913,301,
873,795,689,730,288,976,774,000,354,447,015,911,024,615,467,605,827,514,513,
767,478,677,038,358,709,973,848,646,636,792,234,387,163,219,776,721,663,006,
180,411,954,263,122,965,654,423,172,122,210,556,114,598,102,822,525,571,531,
229,842,061,031,927,426,202,769,842,536,985,030,874,420,175,922,101,344,539,
408,879,617,900,591,783,090,716,145,283,264,825,763,876,433,578,390,348,908,
018,870,490,238,295,349,894,940,751,957,143,479,123,170,744,692,438,287,057,
562,042,871,492,893,667,746,637,114,944,540,032,132,786,416,668,698,391,995,
080,456,436,031,554,048,062,674,467,800,252,608,908,946,442,431,652,770,973,
035,828,443,804,450,499,962,762,571,348,795,213,678,972,879,795,973,862,900,
644,093,653,547,526,730,204,843,025,794,509,177,493,070,033,002,402,014,738,
190,882,516,460,186,073,764,735,558,830,652,787,595,130,007,816,881,464,239,
613,248,499,595,357,928,789,077,421,633,149,170,064,666,546,420,822,317,474,
569,317,577,042,792,232,195,830,300,956,058,015,566,825,079,163,138,870,619,
807,608,953,138,941,144,010,709,760,599,054,022,899,627,447,071,157,308,157,
230,548,681,656,852,371,513,766,794,662,540,606,040,457,705,935,596,334,884,
241,529,257,012,442,881,752,212,726,854,537,621,002,333,368,539,384,889,052,
291,508,604,135,139,879,944,864,700,831,034,305,254,395,885,867,347,629,086,
341,534,822,427,255,117,064,181,673,368,519,541,802,458,870,800,107,396,159,
558,135,043,193,494,843,882,647,171,327,966,711,940,417,386,670,458,496,596,
603,345,619,549,286,817,976,116,070,357,157,001,351,947,211,389,603,821,901,
374,836,101,461,530,773,884,931,638,169,100,585,103,146,646,751,214,939,219,
038,503,311,159,227,872,030,654,855,027,814,961,353,515,028,890,373,565,113,
256,414,035,761,367,394,922,785,232,372,818,827,417,684,872,742,559,435,057,
523,920,152,038,934,526,190,794,813,201,264,020,088,531,131,378,577,923,825,
709,449,278,032,170,573,079,683,264,602,322,560,744,379,637,109,277,580,098,
435,197,801,291,443,573,514,584,252,079,853,172,520,668,684,483,191,901,490,
657,243,064,797,700,432,527,337,426,230,193,814,699,238,900,742,579,922,125,
961,938,790,232,739,975,213,808,780,399,007,939,232,293,231,991,241,427,085,
687,125,916,793,571,666,409,466,860,896,597,712,986,362,929,525,319,771,987,
612,726,369,728,334,214,495,514,575,514,689,055,277,764,095,975,951,105,660,
301,910,583,055,242,442,992,075,206,848,551,558,928,106,630,172,037,043,051,
473,938,441,412,227,450,224,683,934,497,067,751,857,794,054,208,350,963,520,
523,293,703,039,217,953,832,001,027,390,952,922,956,686,255,091,560,709,885,
322,585,489,761,317,274,653,353,623,535,336,060,463,669,160,710,559,951,254,
405,796,890,407,757,754,654,661,462,401,766,425,959,037,767,674,010,359,360,
609,050,372,689,509,495,233,651,522,102,832,806,428,434,641,314,411,782,900,
440,394,206,897,687,190,394,191,604,914,601,994,118,158,101,682,842,613,069,
622,975,245,905,222,410,633,096,944,661,443,152,867,429,118,942,611,891,387,
398,764,883,963,899,011,210,721,944,024,711,880,276,660,488,518,060,095,485,
164,004,045,321,490,094,140,918,238,253,745,781,826,132,075,967,769,737,129,
195,868,990,326,810,435,267,237,684,243,773,364,642,281,060,685,696,182,753,
401,316,374,333,423,226,620,314,353,080,503,954,074,372,411,528,022,637,858,
563,519,392,551,100,493,038,869,736,474,054,710,183,361,234,472,557,021,814,
724,429,444,246,013,498,814,851,858,837,207,544,517,395,376,274,561,764,359,
386,424,320,813,413,915,332,783,253,260,340,270,112,357,077,979,255,512,500,
025,551,912,939,193,681,708,805,585,917,891,163,354,646,352,839,565,407,896,
688,357,495,031,834,974,583,018,906,321,606,267,433,216,267,183,854,364,121,
887,196,114,473,646,041,563,342,168,205,361,933,694,686,028,676,443,793,346,
144,058,183,396,873,132,131,392,913,397,012,512,204,361,588,016,169,205,452,
611,203,260,870,166,157,574,623,570,080,739,956,105,382,669,585,198,143,541,
977,624,565,728,055,646,078,118,366,009,449,552,338,168,876,175,560,461,165,
996,034,898,888,496,555,798,599,192,994,603,586,797,577,819,982,445,268,977,
507,510,224,852,607,688,127,492,979,338,661,360,843,277,529,352,475,221,358,
711,434,290,393,111,824,899,890,328,483,106,621,846,720,750,057,968,531,780,
256,063,513,249,227,536,551,470,260,942,834,764,207,178,768,931,204,834,982,
543,658,508,386,934,613,990,839,509,620,535,608,569,977,265,500,675,410,133,
596,745,695,586,853,426,057,382,949,559,291,216,695,547,392,683,369,207,494,
302,254,485,809,650,685,471,227,905,867,789,857,647,697,704,517,260,023,130,
168,123,067,449,292,883,295,804,013,588,781,928,401,181,204,706,786,650,469,
614,764,981,228,840,614,087,909,275,837,025,791,779,676,422,009,101,301,525,
992,413,111,498,923,407,430,848,560,912,552,085,500,599,908,898,231,738,876,
346,886,761,100,828,184,277,919,953,731,830,030,665,603,869,200,497,485,207,
454,769,964,062,817,505,396,435,413,270,630,206,297,084,773,485,436,961,009,
417,415,715,964,461,949,795,966,419,318,978,124,404,621,428,630,383,712,536,
354,344,844,152,466,878,622,145,145,672,211,203,316,647,647,461,256,757,505,
758,524,364,033,161,485,374,139,685,177,057,103,454,696,544,886,851,253,498,
061,431,525,535,901,740,320,524,431,839,849,784,439,894,601,970,330,443,245,
140,106,106,894,882,781,767,336,696,373,476,137,949,540,751,675,028,504,032,
323,826,134,691,272,389,037,440,533,445,025,921,129,042,778,663,068,099,199,
096,680,141,176,579,810,796,278,154,211,464,119,871,317,292,453,599,513,978,
438,800,226,595,100,264,175,203,995,946,583,525,788,822,418,640,836,730,951,
989,269,697,998,279,135,135,581,818,157,054,424,098,873,919,343,154,757,538,
230,696,576,665,433,301,516,704,821,901,515,038,297,281,344,322,675,816,736,
146,247,467,244,031,499,323,065,875,309,326,654,372,405,737,010,820,773,296,
469,203,164,354,674,850,486,247,254,007,805,196,742,469,324,390,822,838,949,
381,702,821,956,199,994,137,278,313,795,397,472,066,186,216,294,685,887,862,
302,497,167,680,252,508,972,803,812,269,128,939,735,743,273,532,990,319,252,
346,900,444,803,761,074,240,556,435,196,429,182,389,743,181,094,820,359,973,
123,151,536,765,913,663,809,522,992,574,674,635,681,159,104,119,481,948,513,
756,076,037,492,704,729,104,057,343,621,247,776,141,493,437,436,659,678,491,
233,177,752,228,107,162,352,489,248,635,747,311,915,351,169,006,803,214,977,
779,766,398,738,572,079,144,494,224,399,678,681,410,981,698,560,670,835,722,
018,947,352,423,864,512,592,728,250,761,038,008,653,517,047,551,012,855,068,
764,354,205,673,684,706,954,395,696,773,632,136,845,325,437,507,122,996,565,
265,845,879,534,914,777,639,145,523,693,304,590,664,791,022,598,070,896,458,
105,206,290,626,133,638,484,918,284,529,873,723,762,980,280,913,475,355,357,
680,866,086,171,062,009,987,550,697,037,039,504,701,236,959,083,877,201,380,
307,223,881,630,961,630,954,558,935,012,711,975,950,709,948,858,958,209,169,
205,155,433,563,192,920,771,587,210,626,328,577,738,817,220,542,557,600,510,
625,038,242,170,385,144,909,080,068,355,941,649,930,666,283,799,400,304,755,
466,753,219,870,254,808,173,107,143,806,723,599,675,343,095,234,933,941,860,
011,347,905,346,930,388,884,528,691,505,096,044,727,386,609,910,329,267,190,
293,956,142,547,426,916,946,187,175,111,072,385,045,483,443,814,965,605,923,
545,800,285,912,119,602,852,927,875,416,686,926,756,594,796,955,576,483,755,
300,584,508,239,323,337,103,083,731,405,918,009,998,262,778,662,318,173,899,
082,233,366,914,716,180,473,293,680,184,126,238,968,293,567,546,370,480,727,
786,084,557,264,865,224,396,185,617,314,488,682,679,732,569,137,098,040,581,
113,626,581,486,863,835,452,167,308,708,521,407,524,070,947,345,479,592,041,
446,001,120,310,023,946,815,315,108,174,090,448,541,828,465,034,186,335,420,
756,021,998,748,643,807,160,805,571,243,526,838,866,822,047,724,685,281,732,
092,583,499,720,297,895,828,644,231,672,391,341,847,735,591,770,438,863,949,
569,835,779,490,649,207,773,442,420,829,548,622,684,214,979,437,812,080,793,
726,081,882,084,914,661,082,406,856,487,999,633,690,437,144,336,642,209,853,
709,415,668,294,929,156,636,309,069,150,794,949,217,927,698,375,294,496,717,
293,650,307,143,877,247,941,214,264,573,297,168,457,110,529,489,778,411,813,
060,983,628,574,392,153,207,186,420,577,170,331,914,212,182,341,416,523,388,
680,658,213,712,224,540,271,790,564,117,438,277,891,891,202,184,945,459,690,
482,473,384,396,523,024,804,396,359,882,877,240,095,778,161,235,435,663,774,
234,837,399,036,968,568,237,040,621,200,892,008,523,670,456,149,369,653,080,
334,440,694,415,923,126,060,926,131,624,947,136,701,078,563,666,827,368,431,
793,221,356,737,100,656,856,382,916,285,246,620,299,027,103,308,960,659,110,
895,761,333,989,364,805,041,567,118,709,043,235,398,390,977,732,579,682,201,
323,318,452,662,090,876,775,209,633,854,964,174,634,852,942,208,502,679,992,
617,627,726,061,608,063,091,212,963,330,227,116,845,040,810,041,400,853,777,
913,290,377,607,624,559,303,463,620,201,063,751,096,495,292,305,672,509,135,
036,009,477,444,346,079,298,306,031,009,313,500,166,099,300,122,001,050,614,
354,207,880,588,959,362,803,399,211,145,088,080,176,791,947,312,197,575,890,
873,496,286,097,003,986,728,724,126,111,350,987,376,783,874,958,659,742,668,
144,790,470,803,613,570,143,134,302,406,959,392,781,486,237,062,825,139,799,
811,778,847,708,634,901,474,234,282,547,439,680,414,950,545,446,940,862,033,
145,512,832,015,661,693,751,778,246,926,309,287,991,168,197,680,520,624,562,
532,292,075,761,364,281,363,656,017,755,284,620,163,254,573,027,774,843,869,
637,916,773,902,465,569,029,449,317,248,958,018,243,520,950,915,508,038,419,
704,876,552,049,412,442,424,481,957,101,888,340,666,829,049,872,986,006,237,
352,300,106,852,228,084,025,616,978,570,087,654,747,614,512,824,608,596,328,
740,522,870,433,859,219,550,883,346,274,791,205,424,417,747,492,512,265,603,
285,424,429,511,512,413,586,964,705,606,590,578,220,972,734,550,163,550,371,
507,424,824,390,727,464,937,126,478,791,982,529,510,759,279,470,067,632,939,
270,082,141,989,637,657,652,234,866,892,007,615,348,618,287,694,927,462,942,
582,940,704,472,013,305,384,916,040,026,839,869,259,058,405,779,466,710,678,
465,900,992,060,088,243,930,005,366,139,483,830,129,191,419,207,351,265,948,
409,668,450,874,454,736,416,694,724,089,463,883,707,988,772,773,415,119,696,
251,929,879,649,650,279,431,542,766,239,656,681,363,945,024,997,159,569,165,
598,207,086,251,352,103,210,440,189,556,847,138,293,758,975,532,363,032,220,
240,973,507,225,224,142,170,663,472,648,932,598,973,627,005,144,774,982,078,
924,786,721,712,982,609,643,308,948,371,425,947,076,564,673,406,048,052,705,
020,569,799,052,814,326,584,452,546,161,355,087,887,777,706,221,736,534,115,
942,462,565,925,501,901,537,026,581,556,608,993,233,026,583,431,941,113,588,
555,936,069,948,654,895,272,457,149,685,896,920,513,300,573,206,672,162,064,
549,498,510,241,619,300,703,013,858,117,578,291,823,010,990,912,539,434,318,
449,382,114,387,122,305,081,218,164,144,639,315,913,026,512,518,052,765,428,
108,346,826,988,434,752,336,557,788,090,549,722,072,704,719,011,047,033,519,
895,053,318,841,335,637,303,832,116,671,500,109,504,465,959,747,921,556,517,
637,171,669,227,433,958,402,373,264,711,743,669,081,662,504,641,710,711,938,
253,309,391,164,668,040,774,826,297,214,320,283,944,586,344,539,866,413,985,
889,514,156,348,928,844,511,069,575,663,466,959,124,656,523,219,576,239,940,
458,257,069,728,832,511,833,035,696,226,329,732,556,737,495,076,638,710,145,
543,693,936,584,894,260,305,648,056,568,628,636,039,490,830,186,879,775,133,
431,615,717,897,469,201,632,882,354,747,389,528,446,593,580,415,410,119,250,
419,491,556,308,571,100,297,770,072,153,477,279,299,513,167,868,147,993,601,
469,702,458,117,062,464,425,218,427,306,799,855,868,115,329,974,045,253,382,
623,749,033,222,298,960,323,369,730,964,470,414,957,373,175,860,499,895,747,
134,411,706,531,214,107,266,657,951,555,898,928,806,279,019,206,397,932,560,
817,383,068,828,251,086,396,160,915,027,776,384,231,717,263,521,312,938,743,
184,632,834,974,777,723,742,702,203,372,496,255,573,923,667,184,073,405,885,
330,636,717,388,495,939,630,346,610,899,248,822,875,054,769,416,507,555,699,
265,992,520,383,010,419,016,624,832,838,226,134,963,225,624,982,235,974,075,
206,102,385,329,042,797,584,548,837,869,171,651,793,370,890,844,369,644,840,
383,389,366,511,405,456,941,573,934,420,945,589,754,025,381,479,283,226,960,
113,778,355,056,219,705,307,270,389,240,451,312,627,382,164,286,773,847,250,
273,003,591,316,996,034,026,033,662,678,496,434,209,965,482,102,893,895,752,
899,578,220,893,341,317,099,390,910,200,359,259,079,363,975,860,245,806,656,
786,987,520,143,632,672,667,293,659,490,685,319,530,999,461,149,482,833,600,
414,876,721,206,121,434,460,897,984,148,986,100,654,351,682,959,605,143,786,
828,062,258,169,369,381,694,061,189,995,263,624,548,996,327,991,000,237,315,
376,401,235,782,225,746,114,226,315,911,322,249,885,793,450,539,319,520,778,
879,518,008,412,714,816,225,451,693,587,329,954,285,536,982,959,172,660,601,
116,097,062,530,023,281,797,692,248,992,910,148,340,333,683,630,086,361,021,
610,197,881,121,454,726,348,551,734,397,985,693,195,849,153,179,660,429,880,
210,547,581,604,727,668,846,797,617,155,544,407,130,560,562,865,654,267,937,
930,848,648,468,428,079,215,565,698,460,245,148,295,892,021,075,447,305,161,
732,990,526,805,585,334,645,751,447,943,828,268,832,414,544,597,413,108,712,
817,393,509,720,563,572,763,427,030,213,421,916,141,132,322,789,489,102,102,
359,136,464,871,441,186,970,349,216,162,790,174,915,321,357,441,554,513,579,
527,602,342,963,156,869,428,510,900,272,372,573,755,880,421,999,035,426,373,
575,356,889,390,029,119,070,996,046,186,192,834,287,923,005,612,161,761,633,
551,764,116,764,944,059,452,405,421,355,832,946,752,231,802,002,646,994,390,
823,520,185,542,003,572,709,964,358,805,643,206,407,223,808,751,395,785,049,
646,885,176,428,546,984,556,177,066,795,316,504,295,493,713,501,097,853,899,
708,579,842,669,152,527,652,273,314,916,662,407,651,442,375,602,578,372,832,
790,583,479,180,786,772,972,231,996,543,459,595,205,075,700,036,324,891,758,
581,304,811,870,772,095,708,270,004,155,060,717,447,057,125,506,259,428,864,
881,596,608,155,823,656,194,570,434,901,347,135,190,304,199,532,662,221,632,
302,509,075,501,534,564,630,883,516,321,730,166,478,703,022,356,608,709,664,
659,958,363,448,860,142,546,165,497,844,260,632,440,866,530,595,729,558,406,
829,876,867,945,132,221,379,290,331,683,918,399,530,309,106,042,015,915,133,
933,111,720,096,359,070,890,943,701,025,455,257,761,503,076,154,055,464,003,
658,519,733,193,257,716,455,274,017,372,186,582,501,299,975,017,009,358,062,
199,342,724,822,546,492,344,292,728,509,875,976,664,807,805,942,612,666,913,
637,056,882,326,085,254,309,479,717,373,027,406,304,066,817,880,375,585,968,
792,529,578,376,579,666,235,925,429,369,891,373,898,204,671,128,295,791,283,
255,956,188,974,306,107,146,017,083,646,486,883,203,716,368,024,704,337,126,
414,136,519,042,250,602,751,667,943,225,081,140,715,912,103,635,422,268,112,
368,050,198,705,537,051,864,574,173,320,803,560,083,982,852,418,658,385,036,
292,956,538,949,999,244,191,212,647,744,220,090,818,060,714,733,581,494,995,
131,430,685,529,741,096,848,801,872,081,882,795,887,376,627,607,438,835,972,
698,608,602,634,772,726,597,539,929,288,131,253,091,748,543,787,216,141,970,
359,125,984,573,274,880,188,537,402,470,972,723,514,153,986,578,607,485,379,
155,392,661,168,986,677,669,362,277,498,781,932,171,079,856,971,245,217,825,
235,656,139,202,229,939,663,628,621,328,956,956,299,293,386,921,191,994,237,
557,688,247,053,315,053,086,807,718,178,699,432,913,328,608,519,108,672,183,
158,626,879,542,090,311,639,083,656,339,175,481,036,484,984,318,058,942,736,
868,929,448,783,090,053,517,856,011,757,858,382,161,754,787,215,106,531,090,
123,306,208,695,338,068,922,062,749,218,003,013,052,998,942,844,303,209,865,
616,918,772,954,915,820,553,372,642,305,765,456,738,832,523,031,069,629,638,
294,625,387,827,916,325,714,076,947,502,151,356,690,053,616,620,109,303,094,
439,711,077,102,456,919,816,533,893,977,456,831,176,369,194,305,123,384,585,
822,513,571,623,879,911,450,729,952,981,360,316,559,293,713,413,030,643,761,
360,002,939,130,978,398,526,070,706,497,444,279,781,779,722,267,375,794,995,
865,867,531,765,046,308,537,090,937,647,431,161,759,879,716,090,579,431,591,
958,452,011,730,213,678,829,785,435,315,084,193,263,243,646,221,917,532,183,
197,076,359,447,513,154,883,024,616,348,582,928,129,675,834,630,582,633,343,
810,655,515,092,859,571,706,988,689,358,116,539,371,743,342,497,463,278,927,
263,098,116,079,358,211,550,313,895,608,444,720,263,061,714,772,515,238,799,
685,437,868,824,109,608,396,162,412,064,224,454,239,896,539,944,137,306,260,
603,483,544,666,115,221,325,226,910,482,054,780,791,031,638,166,692,382,907,
483,904,872,929,073,765,504,221,768,755,649,186,681,033,787,976,901,868,695,
639,801,435,748,554,189,329,273,180,728,957,004,975,839,342,608,969,242,012,
089,321,185,287,168,841,462,946,781,769,774,031,016,245,047,985,078,618,168,
400,698,502,542,848,898,952,703,711,482,853,447,603,913,303,236,742,147,741,
325,513,524,817,375,091,317,840,054,570,163,573,437,358,091,051,059,659,834,
628,947,076,542,122,104,668,692,357,987,579,260,168,411,225,035,498,410,191,
861,395,256,685,842,904,361,282,909,296,855,824,220,958,018,033,818,047,410,
835,487,937,924,580,379,078,035,506,916,761,885,153,681,706,358,518,778,658,
351,053,344,962,742,806,566,629,920,446,044,027,143,136,520,025,550,817,818,
615,160,271,405,662,862,401,118,287,034,597,890,417,953,795,909,508,113,852,
425,633,456,626,651,017,412,343,580,086,258,149,351,170,886,713,191,425,030,
499,788,331,025,350,052,583,834,003,518,827,030,878,339,507,037,190,940,135,
322,823,158,527,807,252,544,572,571,221,017,599,592,037,143,706,132,597,131,
285,755,617,497,256,021,500,193,820,643,313,002,001,432,979,856,139,484,559,
774,787,434,993,074,673,453,789,569,129,539,330,810,277,772,066,220,292,671,
720,106,992,178,699,327,893,693,187,965,977,013,634,507,165,215,320,038,961,
250,876,131,842,166,739,577,898,285,361,015,305,617,407,269,538,311,976,994,
777,592,325,517,898,432,288,436,109,502,656,407,378,382,998,258,833,967,219,
827,267,805,227,241,385,634,096,755,799,271,757,139,239,427,905,644,428,098,
155,995,785,901,331,473,169,651,991,003,365,492,814,567,523,410,096,292,909,
538,609,668,608,794,838,946,986,165,440,240,536,734,197,611,442,728,384,456,
064,556,437,778,263,092,858,542,392,562,553,025,003,757,083,546,451,111,167,
992,046,579,269,704,265,437,627,457,847,231,955,664,331,153,386,045,917,880,
049,839,597,214,228,840,177,375,267,621,729,931,751,742,031,251,894,779,494,
233,900,208,639,905,142,804,995,123,670,808,323,882,479,454,287,913,152,620,
690,187,232,243,895,019,268,478,359,477,856,061,732,679,242,226,702,387,965,
843,404,597,472,884,428,248,689,296,508,725,477,252,785,920,039,536,484,729,
093,567,111,103,856,847,888,070,796,714,364,502,573,887,035,567,100,542,187,
010,556,619,732,695,832,305,747,773,917,565,928,995,044,215,989,247,468,614,
287,901,069,153,571,706,894,704,183,043,349,674,101,649,593,456,059,120,094,
998,504,570,996,779,255,656,710,129,988,982,025,852,243,658,434,597,511,317,
821,047,721,243,481,691,952,113,089,410,854,438,897,334,505,171,172,847,015,
060,901,795,423,372,165,029,138,274,674,735,032,737,619,043,694,414,231,819,
246,873,051,041,654,792,242,802,330,966,502,561,784,954,842,637,114,567,971,
112,606,279,967,202,580,536,620,911,850,941,244,545,193,125,984,260,164,784,
881,992,320,624,802,697,266,289,956,054,545,319,803,428,443,437,789,272,409,
011,071,294,928,843,144,314,329,614,507,211,475,908,147,721,897,825,544,273,
855,984,090,675,068,511,642,959,584,425,974,389,599,008,519,046,485,098,634,
642,188,924,159,895,198,170,133,807,921,282,727,952,458,295,703,461,893,043,
027,270,212,770,232,729,048,784,626,341,208,597,046,762,904,102,277,046,189,
852,781,498,615,891,333,804,729,360,241,424,493,060,161,643,827,840,307,054,
553,219,677,964,713,695,194,871,906,549,717,377,322,734,359,462,616,736,541,
226,455,049,648,930,269,421,962,151,610,671,460,895,049,965,827,563,955,488,
904,177,726,602,649,761,432,795,311,726,134,149,218,825,588,929,191,957,356,
594,411,774,757,003,529,637,558,070,161,011,370,153,450,504,206,350,176,923,
283,563,634,594,521,555,136,070,854,291,459,954,096,127,251,522,632,413,339,
247,642,667,649,171,144,333,927,434,410,596,343,683,120,746,359,411,061,735,
634,502,624,883,975,663,441,260,179,336,328,986,287,381,100,016,963,031,439,
367,148,172,471,928,716,531,022,163,956,403,255,748,347,150,244,800,970,448,
596,601,968,743,334,962,136,373,165,642,765,829,331,896,630,190,359,857,886,
985,567,795,089,661,702,074,698,996,598,265,232,823,501,126,353,042,130,593,
710,381,758,367,296,535,377,043,487,529,268,354,014,172,324,135,137,740,625,
829,239,254,201,041,173,503,561,053,448,636,017,713,403,072,516,368,028,107,
998,677,884,745,642,738,539,420,593,337,514,888,731,565,523,602,589,958,037,
303,639,220,901,606,887,355,574,946,946,244,318,613,580,788,981,417,013,071,
961,739,568,637,190,240,166,737,338,361,061,119,348,039,007,717,210,312,578,
121,121,216,928,679,054,162,790,220,494,782,738,286,078,312,626,529,130,455,
695,611,249,271,984,641,593,762,873,551,717,973,771,792,532,646,080,009,715,
349,297,158,234,864,959,531,998,976,413,010,060,085,998,213,028,569,575,224,
159,814,054,827,743,571,501,667,967,118,010,415,657,367,897,880,319,918,890,
341,077,909,723,306,783,880,763,709,374,707,902,058,649,890,800,225,489,989,
482,258,251,520,822,186,065,125,504,228,829,826,098,578,166,214,579,779,008,
872,112,072,375,633,191,389,282,162,053,738,736,171,456,514,668,376,812,631,
894,028,092,349,845,811,710,277,514,868,530,200,943,470,412,978,350,936,442,
387,074,719,593,720,619,469,123,585,653,489,604,927,623,825,634,329,297,933,
754,013,031,782,716,978,373,815,552,165,241,881,281,023,897,086,453,405,304,
405,099,667,788,577,675,222,886,512,038,720,108,011,018,514,263,223,770,133,
182,397,923,759,424,432,595,483,757,227,511,143,980,604,087,116,436,038,447,
562,011,598,106,373,083,493,279,051,331,316,398,008,123,284,131,126,934,597,
277,326,166,612,260,326,109,533,789,529,865,938,206,781,091,104,393,882,283,
640,723,090,061,016,955,928,886,216,937,829,189,600,724,971,152,910,561,274,
224,144,213,454,119,635,411,326,782,707,568,026,698,235,471,312,617,474,847,
876,190,874,350,457,757,746,440,494,153,100,745,744,118,647,475,927,043,419,
229,978,904,089,133,104,900,143,272,884,642,432,661,055,729,671,753,898,719,
986,943,661,512,155,602,552,279,675,006,282,430,819,256,687,166,349,804,379,
616,312,474,196,316,560,442,149,099,037,268,430,392,668,002,256,660,666,761,
067,466,393,156,714,552,360,918,933,037,001,041,138,273,184,063,896,581,493,
364,600,793,437,312,922,091,286,148,014,754,965,321,712,812,918,786,898,721,
153,553,356,874,914,252,933,880,675,574,968,431,408,781,496,089,872,170,724,
991,372,491,957,376,837,909,796,028,405,696,021,843,678,328,543,458,200,673,
548,340,328,616,442,622,144,179,083,077,681,747,974,673,719,480,485,379,905,
208,452,551,300,085,640,696,325,134,614,228,597,478,236,833,040,638,895,143,
656,569,125,421,271,238,840,250,866,622,494,915,016,852,814,811,229,503,130,
568,376,082,568,866,315,948,742,044,362,349,848,443,951,491,398,062,334,286,
465,432,600,590,757,631,351,383,519,421,243,398,883,256,650,433,049,832,944,
026,542,316,160,165,206,464,948,786,919,268,121,888,314,600,078,720,161,683,
169,792,365,123,342,299,920,929,518,305,845,851,223,274,847,290,361,396,417,
441,999,369,819,065,768,228,471,843,646,477,382,715,402,218,741,678,626,563,
802,410,030,683,254,070,792,293,843,172,571,859,162,154,657,325,912,858,390,
801,225,657,043,665,462,663,844,876,653,753,137,802,965,650,199,542,031,143,
540,036,360,760,069,635,362,911,089,274,996,279,448,978,614,432,841,646,585,
897,781,007,047,036,613,636,395,414,506,633,898,624,738,436,691,167,782,053,
648,501,768,469,604,209,562,464,656,826,084,865,524,004,357,836,141,465,780,
329,634,904,551,569,806,783,621,002,692,434,832,474,823,602,518,866,734,532,
224,951,303,795,433,926,821,487,331,486,025,538,624,417,655,598,196,656,425,
206,474,490,464,722,243,280,513,297,156,024,610,414,116,828,106,179,217,589,
559,874,470,286,370,626,428,560,006,458,661,018,197,959,770,951,030,759,134,
993,385,173,015,284,579,105,759,759,876,690,354,178,082,480,598,294,871,719,
511,271,795,662,488,323,286,686,881,136,158,213,456,569,891,077,438,461,351,
967,484,879,982,721,467,795,495,187,213,410,050,382,270,824,628,582,851,026,
401,173,953,990,646,387,624,375,004,869,608,804,116,350,469,203,828,241,337,
493,800,845,694,836,804,374,431,089,549,306,942,530,023,932,602,262,578,411,
551,724,712,351,905,374,043,778,748,522,332,857,277,089,767,153,320,661,451,
446,789,821,808,600,132,927,093,108,634,052,437,755,272,944,636,499,896,544,
746,723,492,060,668,778,273,807,068,510,837,437,569,801,020,223,003,836,922,
379,049,688,670,490,141,992,016,650,843,823,223,171,224,130,986,534,429,857,
617,445,225,936,108,421,182,010,289,693,050,077,647,909,764,250,985,895,433,
634,443,673,466,680,005,154,435,085,945,648,504,802,802,385,916,075,677,793,
321,036,722,256,912,410,542,162,185,187,783,336,768,369,898,250,915,427,454,
258,811,210,872,491,995,857,659,034,304,700,215,673,863,685,216,624,062,168,
075,818,674,354,672,907,464,887,767,483,228,478,060,382,681,389,356,894,774,
611,042,640,436,829,371,211,119,163,547,839,394,891,941,250,544,568,240,347,
760,766,573,245,028,214,325,654,664,269,857,571,768,178,504,825,964,341,082,
714,481,682,856,444,950,820,750,896,330,918,599,171,791,453,343,188,749,214,
445,712,942,943,465,581,736,611,792,344,476,597,576,563,240,081,412,993,260,
831,225,056,349,264,627,155,201,752,352,562,749,459,439,012,945,845,153,664,
591,801,292,607,292,595,456,371,855,336,874,821,459,575,130,010,132,984,540,
530,943,486,244,648,294,989,505,290,022,808,044,014,293,264,918,334,093,181,
575,471,635,058,235,484,041,193,241,590,841,970,903,807,124,874,318,298,027,
536,246,857,130,658,266,208,001,360,196,012,156,151,277,438,279,437,390,443,
609,225,806,194,555,437,836,101,159,790,784,818,632,683,963,093,166,897,475,
138,423,458,844,172,053,644,238,688,281,679,716,539,116,272,963,067,410,424,
640,677,800,146,992,974,731,160,231,058,479,778,822,335,198,503,694,226,838,
842,719,651,199,261,751,224,787,718,712,463,962,608,984,712,282,586,039,176,
713,048,572,633,785,919,664,221,281,536,617,376,001,038,592,944,536,039,913,
051,463,366,355,608,378,103,649,188,525,507,936,798,365,994,802,014,717,689,
699,246,602,963,545,681,474,184,539,870,831,675,525,004,683,344,081,321,133,
022,348,046,452,718,510,250,687,088,115,838,415,053,308,600,357,879,920,293,
561,479,524,910,562,411,332,983,825,174,770,627,338,741,219,637,855,139,822,
619,836,138,605,594,286,924,306,210,749,487,893,947,896,069,279,272,974,710,
696,341,590,684,572,252,670,214,452,688,901,977,397,423,970,720,242,744,756,
756,876,341,700,829,787,089,650,982,179,219,878,662,677,577,525,558,111,568,
840,269,780,709,873,742,454,255,389,684,079,651,461,393,286,523,606,817,013,
849,545,873,459,727,295,087,089,975,520,405,123,677,103,465,455,351,683,321,
421,663,318,767,312,972,995,308,649,847,836,912,627,848,564,102,164,271,723,
210,843,851,099,116,590,614,700,681,157,604,033,824,536,513,492,682,733,445,
624,376,862,457,333,706,009,566,008,622,088,174,542,488,483,294,137,820,211,
532,128,007,723,982,561,026,957,658,058,660,575,112,672,120,145,888,328,864,
683,460,804,560,852,712,621,947,151,831,948,729,497,279,289,349,688,766,663,
051,222,977,623,085,655,491,116,876,069,775,135,482,351,260,773,554,918,476,
768,965,304,684,339,746,287,450,385,550,476,043,742,737,481,356,815,333,094,
562,977,051,432,693,501,973,694,099,772,536,190,852,160,314,079,993,642,940,
418,702,423,638,045,503,692,645,558,680,740,234,410,137,493,421,630,063,952,
099,137,542,655,249,123,071,601,441,176,624,013,757,714,304,786,784,417,647,
372,193,686,742,779,929,967,199,970,447,851,926,907,755,057,315,209,201,947,
780,935,118,695,256,946,457,145,846,945,195,936,873,320,818,510,701,371,320,
047,284,152,222,732,791,457,388,527,470,216,059,763,184,541,111,507,018,432,
806,194,404,821,243,141,023,887,029,144,462,362,197,041,800,232,998,024,379,
375,862,118,363,919,864,478,118,618,444,204,685,013,002,206,109,284,433,625,
090,188,183,296,713,850,962,584,214,926,979,893,739,933,553,460,178,164,182,
694,826,026,841,004,468,703,418,949,924,599,022,637,961,332,814,465,234,979,
572,709,702,214,545,236,589,338,911,522,941,187,935,979,979,522,517,727,959,
344,769,930,795,946,092,028,200,948,362,508,725,581,978,556,086,292,460,241,
683,996,205,235,874,546,001,151,524,668,070,346,156,107,405,721,447,317,104,
903,219,261,969,423,401,812,709,593,499,283,142,346,558,208,837,700,282,142,
095,014,389,210,586,701,520,978,721,534,513,264,710,907,865,589,890,237,724,
714,820,682,112,219,872,679,231,938,375,196,731,186,931,336,921,490,923,340,
667,351,149,472,882,671,364,100,880,622,567,460,281,149,390,916,581,360,707,
341,630,462,791,618,204,881,803,497,575,798,694,948,819,684,803,338,930,337,
283,622,095,144,649,934,628,171,029,337,193,959,377,602,200,425,324,949,307,
655,992,970,032,746,432,363,298,412,606,757,758,579,282,296,411,969,270,484,
473,000,936,326,500,652,183,758,763,601,129,154,602,927,547,661,359,367,303,
405,190,245,746,318,400,815,944,377,149,564,979,438,209,696,723,312,350,351,
698,209,279,135,535,464,274,347,956,801,518,786,250,711,901,955,739,948,452,
573,460,348,476,080,476,337,826,217,992,356,691,445,403,999,825,147,223,152,
041,165,853,232,464,062,478,795,982,950,745,124,510,971,954,705,111,088,541,
431,915,094,717,456,858,074,541,866,658,472,349,858,755,011,389,207,026,926,
882,785,316,014,345,565,269,290,694,743,702,116,376,199,834,513,115,946,328,
340,407,328,218,418,316,197,540,907,324,181,307,414,209,372,436,151,312,879,
790,871,786,473,211,858,227,615,679,817,492,549,919,811,367,813,117,206,800,
037,286,678,252,390,327,793,539,708,622,122,151,042,826,965,089,486,451,930,
906,406,243,032,359,715,796,940,044,292,246,374,899,013,948,284,672,212,168,
088,699,372,283,986,827,874,210,321,473,031,298,467,925,817,671,014,093,202,
551,306,971,197,856,948,994,947,984,308,409,314,330,902,934,459,365,152,296,
791,792,845,833,183,133,917,286,458,548,831,126,706,452,456,998,654,104,655,
739,535,733,027,729,985,406,025,057,834,883,904,368,779,309,899,894,973,181,
029,370,415,718,042,124,347,026,105,958,328,493,588,167,828,396,724,217,656,
410,136,270,343,096,021,073,189,467,739,435,346,145,133,975,288,542,664,473,
363,101,586,041,951,388,331,292,545,143,504,984,270,065,981,435,529,370,294,
045,237,844,207,637,496,751,544,020,056,725,106,871,024,501,783,811,357,761,
509,828,900,430,542,633,203,359,349,732,355,082,137,613,419,352,881,042,539,
275,923,696,852,415,489,283,752,686,729,779,081,179,576,627,650,750,236,962,
384,072,912,311,531,817,197,277,383,743,656,083,005,932,349,484,811,916,455,
172,533,552,199,432,747,263,135,239,890,730,636,488,646,812,060,781,496,571,
614,434,881,957,391,645,550,351,486,277,150,030,091,025,808,809,223,938,532,
504,255,123,687,557,974,909,098,146,054,300,733,832,477,363,794,462,069,348,
979,353,064,995,437,346,819,849,975,370,209,094,035,256,728,571,297,001,401,
799,330,594,143,385,539,589,081,346,144,017,865,855,345,224,243,254,960,272,
171,920,890,135,084,185,765,046,164,703,774,529,607,489,728,503,853,171,065,
322,835,824,652,071,784,757,662,320,995,938,337,120,232,376,760,886,946,006,
014,172,446,674,435,638,257,624,868,918,278,157,881,551,725,752,906,851,759,
020,444,071,279,543,188,659,419,973,554,516,799,846,765,212,777,861,706,384,
603,273,949,893,716,654,088,842,339,631,594,600,239,615,738,753,046,620,664,
501,397,064,487,828,529,672,713,901,268,694,964,751,525,833,178,444,145,063,
892,476,465,255,354,796,795,244,943,411,059,226,472,849,388,010,866,616,307,
977,835,541,437,999,954,696,841,220,097,326,096,482,903,234,891,200,549,024,
504,224,313,832,839,830,301,709,561,134,766,580,928,123,562,111,038,447,320,
479,595,156,804,699,610,348,195,740,912,927,423,957,609,454,766,657,328,077,
801,204,238,068,435,025,863,712,518,295,512,166,230,833,820,932,473,608,960,
963,179,379,662,873,541,124,707,527,790,274,606,513,424,237,708,183,166,938,
545,929,223,497,436,819,737,724,496,772,504,170,966,844,190,037,681,438,747,
325,365,378,290,500,336,333,113,039,540,359,170,143,381,986,969,475,536,844,
008,695,760,667,778,357,638,571,690,504,569,644,459,148,191,959,153,703,555,
053,173,625,891,236,660,148,576,090,258,814,465,412,195,244,196,258,327,062,
197,422,575,643,226,287,220,005,464,465,542,058,042,092,906,990,021,898,007,
665,397,424,684,972,762,695,759,200,912,756,878,700,847,739,480,725,288,486,
783,161,963,705,907,709,287,039,797,791,718,518,351,239,220,546,532,348,867,
336,929,298,061,892,061,275,810,411,556,014,542,233,113,257,315,145,906,859,
598,352,316,828,588,947,832,101,187,959,510,536,168,666,137,997,726,820,327,
090,047,949,348,297,090,245,331,805,033,180,116,008,805,740,352,942,264,252,
971,060,197,451,443,136,786,349,033,157,323,848,130,843,970,103,101,897,499,
972,046,774,585,689,282,469,546,816,029,533,312,509,581,031,477,073,519,987,
778,686,799,048,214,356,736,535,813,857,160,649,598,434,840,287,142,904,850,
100,201,018,410,896,381,691,871,877,553,252,519,058,726,237,161,758,948,806,
710,067,607,921,272,075,560,754,630,543,601,513,390,743,396,856,901,976,944,
271,734,823,206,842,476,835,691,786,165,032,774,530,252,779,436,992,514,172,
298,586,429,522,707,002,952,899,719,164,280,858,959,314,461,179,021,318,603,
591,711,735,562,838,344,084,071,510,790,932,531,348,752,421,356,663,890,833,
873,854,159,615,757,011,354,212,054,364,470,765,603,212,097,492,761,348,285,
023,005,773,187,724,081,920,600,721,506,010,421,424,712,510,098,730,442,956,
068,199,756,778,182,252,359,093,847,279,585,115,049,952,654,802,600,380,994,
133,639,987,115,633,207,654,371,119,637,666,691,777,865,805,512,942,578,726,
363,833,754,460,861,764,185,283,988,620,645,955,377,940,360,230,151,123,636,
024,748,118,219,686,405,619,678,540,156,415,698,249,138,025,667,614,620,108,
077,997,241,694,554,266,512,649,706,924,009,290,535,844,589,606,017,254,900,
350,249,445,472,717,551,410,686,628,273,157,014,000,792,227,537,277,820,190,
928,869,652,852,330,636,852,476,658,964,396,798,023,646,583,088,963,944,489,
173,274,878,408,612,413,277,644,168,696,374,694,516,666,311,639,187,258,453,
145,387,519,601,116,262,740,675,767,138,559,013,415,458,866,968,196,669,501,
283,297,744,256,206,358,235,028,150,903,026,036,516,225,203,216,902,946,718,
161,978,551,413,502,444,205,963,200,179,775,207,948,654,987,916,040,886,399,
954,883,127,155,881,329,601,151,397,756,976,132,025,677,199,319,158,693,602,
761,707,101,877,770,727,473,365,844,903,817,084,187,614,780,527,155,441,191,
087,802,879,965,940,094,778,648,537,453,432,520,996,625,179,830,881,227,659,
423,638,154,824,619,011,942,252,324,354,559,232,399,627,653,203,634,648,435,
412,370,041,025,570,449,785,639,213,101,298,687,057,787,380,018,720,810,200,
864,136,424,803,809,070,458,581,616,594,727,836,182,691,748,154,179,103,917,
476,500,747,306,062,627,261,703,764,648,151,091,102,013,027,848,897,787,883,
657,257,053,481,456,351,083,774,559,403,083,217,499,677,014,135,595,302,156,
934,963,008,822,930,164,756,222,484,578,128,016,116,248,343,274,040,134,262,
238,877,355,419,772,490,978,569,627,691,065,407,399,340,992,145,769,814,804,
907,964,418,193,035,712,554,270,683,137,196,456,307,665,887,747,294,847,494,
104,769,903,211,623,296,319,411,284,454,931,770,648,344,642,977,184,394,070,
830,627,911,029,290,290,339,207,977,868,954,143,886,365,626,904,273,272,907,
546,725,867,257,777,966,836,019,487,498,178,881,102,904,458,666,538,705,853,
207,257,852,953,179,908,935,103,775,759,529,763,216,323,872,503,727,597,963,
555,878,208,298,923,046,742,459,366,994,861,884,546,880,140,090,935,287,662,
469,488,013,683,489,939,472,480,942,320,969,416,586,656,095,118,305,254,262,
396,184,786,598,029,776,675,620,402,114,977,283,616,033,353,925,882,590,391,
616,011,929,748,390,290,937,017,201,263,081,266,681,551,331,954,089,979,138,
394,451,571,736,036,513,377,283,188,033,036,344,776,433,072,599,139,558,576,
407,003,049,441,019,242,114,433,568,838,181,284,785,384,508,941,083,969,942,
004,202,492,614,376,905,118,347,903,395,412,058,227,003,063,074,804,915,597,
434,864,396,951,428,306,936,175,425,122,950,692,297,050,483,055,366,894,441,
806,382,181,105,408,970,523,238,663,517,415,421,401,483,720,772,822,918,903,
711,740,935,810,108,735,527,538,076,369,542,606,977,285,437,951,948,157,468,
708,277,931,831,489,212,352,224,928,873,356,812,411,610,663,283,111,953,988,
271,051,798,223,236,393,018,132,566,145,608,401,592,399,498,990,760,563,881,
600,216,425,569,815,285,070,303,392,440,439,011,504,723,633,239,688,734,800,
674,200,542,020,616,434,058,457,980,624,126,291,872,908,114,589,665,723,271,
270,447,104,689,366,756,938,645,242,046,883,357,753,407,914,138,146,431,662,
499,606,851,614,173,786,559,707,175,596,195,308,544,586,362,942,678,560,645,
711,156,850,740,060,454,964,368,887,737,367,659,709,135,028,489,834,248,772,
250,051,875,141,107,007,227,636,727,444,711,518,309,515,414,178,388,033,486,
766,305,697,215,664,093,138,698,843,263,581,104,913,178,616,402,854,957,319,
275,678,530,850,219,694,901,095,315,343,715,658,612,270,764,468,968,344,697,
451,146,296,721,317,274,923,680,197,870,364,285,112,523,470,850,614,011,367,
322,064,758,113,697,995,581,199,303,557,347,858,634,319,265,334,006,181,369,
295,028,880,797,154,665,748,456,726,712,582,261,149,124,412,989,741,429,959,
022,181,910,738,017,167,762,220,519,556,941,109,468,018,597,854,576,077,427,
972,053,258,736,617,457,194,251,174,690,003,782,792,704,869,818,610,217,266,
246,490,039,892,055,827,060,800,883,754,669,298,750,930,388,754,507,544,735,
079,968,132,591,592,216,958,034,665,540,127,851,471,021,295,374,025,716,645,
269,724,416,464,005,096,440,789,568,357,793,497,472,867,861,780,343,470,949,
438,241,264,577,547,407,692,547,703,782,495,188,182,114,732,065,507,453,652,
220,940,645,009,073,538,375,819,087,869,509,685,300,864,554,426,824,460,194,
702,432,304,744,280,672,608,132,592,167,834,990,427,479,637,094,275,719,615,
058,161,180,625,456,226,778,892,243,626,427,906,513,933,454,040,842,240,796,
402,733,837,517,242,988,314,364,531,740,509,694,122,736,187,766,920,500,597,
265,985,012,205,015,903,663,642,595,194,832,029,700,848,179,859,621,385,124,
039,754,467,120,038,034,487,667,869,892,796,911,341,604,531,676,247,314,924,
237,742,948,364,085,959,855,930,266,379,167,719,833,624,951,223,149,588,728,
594,566,052,616,248,427,930,252,337,520,578,570,760,357,886,719,517,271,538,
177,516,167,613,986,478,934,493,533,954,375,447,169,512,767,690,573,562,408,
507,496,871,962,544,836,278,462,222,416,616,958,207,577,477,584,709,194,517,
711,546,914,982,183,923,885,542,049,376,944,343,986,112,657,053,078,459,266,
611,265,773,150,896,116,840,225,727,812,646,327,630,397,623,836,389,752,387,
226,409,131,144,376,572,405,201,075,346,784,109,711,055,656,874,121,219,268,
984,346,608,472,209,549,794,435,700,031,653,647,689,717,140,868,532,543,124,
276,466,919,346,193,620,514,919,814,801,933,246,424,268,192,327,742,389,804,
990,939,703,597,041,212,483,521,065,722,985,037,645,489,576,918,645,576,449,
837,717,746,713,753,299,787,938,293,893,232,768,113,174,831,766,408,743,347,
430,778,350,008,432,567,896,112,783,555,056,733,205,555,917,959,121,392,512,
226,447,745,525,832,763,187,009,206,209,265,169,636,187,874,685,869,113,643,
548,632,217,385,259,215,134,368,307,872,767,776,790,165,074,570,137,583,351,
579,409,211,119,214,261,711,876,884,581,906,313,957,529,212,042,135,005,605,
389,926,685,494,816,932,759,851,021,477,379,621,518,670,622,903,862,311,591,
768,499,325,289,063,939,840,295,816,992,672,790,951,412,693,763,888,451,417,
683,919,625,740,874,422,007,356,070,122,865,069,817,596,953,025,422,333,681,
812,895,417,452,678,197,632,339,516,248,637,250,122,992,186,691,441,911,085,
422,205,450,657,784,555,604,942,703,130,244,238,127,721,548,302,547,564,781,
644,558,157,233,470,618,117,048,291,560,402,176,711,962,301,460,458,568,717,
863,121,854,986,260,199,130,426,391,274,630,000,920,078,640,360,792,608,762,
150,945,544,003,239,709,472,992,855,985,182,391,548,873,843,367,759,867,421,
400,885,114,198,451,922,875,847,205,718,558,448,856,320,138,612,635,159,865,
446,685,262,756,454,841,850,702,181,514,306,678,612,648,391,612,928,046,815,
134,268,777,469,824,599,541,045,091,038,800,323,921,539,681,694,667,432,473,
238,374,467,801,012,880,385,534,676,911,962,801,693,635,080,674,671,800,141,
906,835,884,919,792,073,130,509,868,516,444,740,670,653,788,363,178,612,324,
056,918,542,828,296,775,920,539,069,280,028,331,924,132,149,568,243,587,655,
291,024,612,830,151,974,834,066,514,863,857,371,563,229,543,406,919,005,857,
517,951,108,659,309,866,107,338,330,298,859,039,724,646,861,938,812,820,816,
608,039,742,157,364,005,864,027,834,705,549,559,407,549,121,136,930,331,495,
901,626,834,081,439,778,649,895,676,063,756,679,346,409,715,475,901,376,928,
475,943,487,957,351,073,002,115,625,660,184,269,251,728,884,846,621,541,142,
124,352,238,031,045,741,749,135,779,204,104,555,571,769,088,293,574,322,439,
866,748,304,927,929,800,474,467,653,093,910,546,426,917,042,892,413,821,281,
942,819,649,975,925,154,976,916,392,588,308,793,059,504,459,082,703,425,657,
644,514,982,504,020,839,860,490,424,494,996,906,830,504,437,184,439,818,203,
530,544,439,476,887,203,894,190,482,400,107,857,335,398,428,742,016,502,941,
399,442,584,461,107,903,329,660,267,302,518,919,119,766,101,191,691,171,894,
761,031,211,107,770,219,966,927,822,946,928,749,782,259,507,981,447,098,721,
295,544,882,231,991,837,182,026,515,763,238,972,412,793,266,558,903,309,222,
568,749,116,042,492,855,509,254,967,910,177,657,922,717,024,801,854,888,715,
620,248,415,767,563,552,729,514,968,479,421,892,634,341,716,781,402,990,845,
514,005,353,166,899,212,908,096,616,436,511,616,955,979,808,261,831,930,813,
163,739,336,386,848,697,995,380,030,863,649,964,517,484,423,769,947,763,699,
233,967,602,719,926,623,442,234,242,479,417,138,535,254,847,097,439,868,756,
668,023,918,775,847,071,681,977,661,520,520,882,067,827,893,364,738,063,178,
939,818,530,708,434,535,688,032,281,610,871,548,653,874,300,407,764,195,036,
498,930,483,200,164,821,645,136,016,870,839,891,414,603,959,844,027,115,439,
397,716,724,386,864,540,353,588,360,047,235,888,498,571,194,877,843,015,427,
587,749,376,231,369,314,893,360,402,182,278,719,674,932,237,052,778,560,416,
196,316,798,816,498,058,363,570,209,961,947,435,123,750,774,849,837,885,715,
818,404,995,237,354,335,419,435,206,200,631,462,731,921,376,783,833,191,700,
428,719,221,217,806,103,840,432,005,105,712,131,998,342,458,889,909,128,209,
504,916,056,753,242,766,683,399,195,725,327,192,272,674,531,686,928,330,681,
080,885,835,329,048,810,146,325,486,864,423,162,090,308,409,810,788,035,673,
743,522,331,859,451,548,470,468,166,239,509,283,301,350,131,399,000,328,759,
124,815,201,220,949,839,374,829,244,580,346,941,039,638,325,632,132,363,307,
072,258,939,862,706,700,032,395,954,238,913,501,699,270,631,070,303,603,427,
535,513,360,569,429,650,301,477,608,239,965,841,690,267,364,214,234,527,215,
300,598,803,330,039,648,499,157,705,095,507,127,877,840,110,690,756,374,105,
352,506,204,602,288,954,793,978,172,020,155,776,291,715,693,187,508,790,595,
787,889,004,309,607,306,644,390,453,832,753,462,608,640,871,921,017,616,318,
817,850,125,161,396,629,222,787,438,495,860,991,292,210,070,068,840,887,266,
919,578,182,398,802,572,401,821,081,918,247,820,852,780,889,225,050,046,122,
767,860,225,720,412,247,850,045,167,772,387,661,901,694,726,339,634,957,245,
555,515,712,001,829,075,571,384,888,028,741,689,270,775,439,436,250,410,448,
118,990,378,874,647,227,110,695,102,782,441,696,661,153,928,304,919,891,049,
562,502,118,158,901,886,033,892,748,657,156,203,058,121,855,294,650,626,324,
302,632,801,496,045,022,867,976,498,444,827,489,660,697,219,917,523,786,730,
870,252,032,202,517,189,545,037,999,919,877,661,526,834,240,287,433,632,670,
298,525,776,758,493,364,265,720,996,566,572,938,820,828,593,874,564,027,940,
828,566,430,204,661,548,540,347,773,891,681,394,586,387,188,607,646,523,930,
116,597,278,160,707,892,337,082,036,179,445,633,447,921,962,897,919,330,601,
189,740,837,665,282,989,265,617,218,252,334,349,651,184,106,463,027,479,300,
048,514,770,495,596,728,122,704,017,817,895,416,483,825,897,921,032,599,282,
865,692,776,081,026,522,506,301,464,505,907,916,088,335,976,020,224,019,934,
296,366,361,410,911,420,167,678,827,749,860,881,653,392,070,202,910,546,286,
580,635,620,106,115,789,354,003,966,210,698,853,313,884,059,959,627,578,321,
514,522,321,547,722,403,797,310,833,023,980,903,985,780,106,242,733,058,184,
245,609,167,788,378,041,924,187,863,032,563,728,055,024,015,362,305,189,215,
338,694,768,680,004,646,944,457,250,290,553,007,095,691,551,676,272,102,450,
123,148,321,224,298,800,423,658,597,729,983,764,489,892,070,788,478,689,818,
925,584,142,269,047,480,308,635,664,002,032,288,300,388,223,090,262,421,153,
790,077,000,702,452,501,673,764,597,804,034,036,267,689,598,360,567,210,206,
812,928,282,083,969,678,367,056,214,425,979,991,219,771,091,265,984,546,408,
718,353,083,888,437,029,620,690,502,932,000,937,301,496,066,124,034,773,711,
925,408,204,617,045,443,677,045,915,950,814,399,346,679,705,131,568,996,107,
931,099,504,500,839,181,674,359,748,402,255,261,343,269,008,207,680,306,786,
218,553,300,308,483,677,736,114,478,743,646,661,809,585,754,521,451,458,672,
066,901,332,692,612,238,364,576,489,674,434,180,311,698,054,554,560,835,059,
569,158,983,532,863,534,579,386,071,512,697,306,106,472,133,271,768,904,149,
166,516,550,448,751,732,076,785,182,529,279,470,171,449,923,537,851,021,863,
544,721,391,960,388,570,558,204,565,037,087,732,083,191,900,308,942,338,486,
844,046,886,211,360,066,722,318,861,253,083,756,669,317,542,195,457,194,178,
420,742,483,111,294,741,544,442,777,912,897,786,158,203,379,772,005,532,705,
824,869,274,446,560,037,112,132,365,933,769,016,077,082,259,627,792,619,844,
877,733,045,479,948,184,988,862,232,567,552,951,902,171,703,175,507,230,081,
381,602,428,934,165,897,889,943,891,501,368,723,954,831,616,770,761,299,920,
820,348,621,188,016,230,730,827,309,671,539,883,039,920,264,377,960,712,781,
157,559,959,651,722,583,343,581,734,669,704,096,844,753,794,607,368,820,217,
421,416,858,812,026,016,134,366,541,858,327,966,165,339,313,755,673,224,380,
868,411,819,273,837,952,799,696,359,962,320,357,301,591,812,126,231,813,835,
392,150,502,411,922,502,737,429,079,850,636,628,477,877,522,013,082,978,190,
800,750,426,080,616,060,226,708,053,750,520,682,028,781,196,014,486,440,450,
681,730,409,939,177,904,636,447,160,878,204,709,653,180,847,493,076,535,288,
163,773,891,494,995,731,238,175,829,285,763,239,878,410,484,199,051,994,116,
473,778,404,198,226,785,529,576,136,806,193,956,680,299,687,896,775,960,317,
560,481,766,096,882,195,323,808,225,706,573,522,082,353,558,671,386,774,503,
304,110,314,707,908,303,638,885,427,895,989,926,445,601,821,399,026,399,505,
096,022,464,951,652,974,190,019,030,954,343,349,738,460,875,390,978,250,432,
521,619,709,625,316,421,296,540,205,155,074,052,118,675,050,983,911,145,731,
556,998,577,497,303,694,229,116,010,099,186,707,809,366,772,689,493,916,455,
672,238,928,419,246,072,161,604,162,524,488,362,125,986,337,798,272,227,991,
063,675,501,199,441,925,324,331,949,219,148,888,019,574,091,147,472,653,518,
782,790,073,701,603,892,446,297,491,683,175,397,568,221,667,540,558,918,125,
626,895,440,452,692,390,523,111,651,461,039,247,042,204,700,786,697,720,568,
680,345,706,186,864,433,361,325,727,131,441,516,772,984,975,094,497,919,507,
325,611,903,405,647,790,401,245,558,991,107,934,630,395,872,943,235,027,114,
201,543,020,056,422,542,847,212,913,749,757,668,760,547,033,446,528,989,826,
088,174,477,833,880,510,043,218,309,206,410,396,461,546,217,934,556,133,603,
320,562,430,610,457,976,841,544,215,942,465,213,221,347,663,211,967,300,922,
532,952,265,334,149,240,244,460,223,476,303,545,558,203,445,854,525,261,229,
463,665,719,713,788,074,233,468,204,852,994,794,986,943,764,537,268,533,867,
431,353,984,099,417,034,407,415,866,030,037,435,631,762,639,771,633,615,182,
121,152,134,271,409,135,515,511,475,588,013,425,736,563,795,488,393,340,559,
392,035,852,930,648,982,575,591,439,640,365,480,435,703,634,435,459,490,601,
903,626,384,913,622,332,439,566,720,192,762,672,672,592,603,146,829,793,288,
026,841,439,142,900,107,098,837,767,501,394,607,878,125,301,874,100,742,717,
731,441,023,888,897,447,692,931,102,616,259,019,075,853,750,929,666,325,945,
513,875,903,764,643,185,819,239,894,457,277,185,231,059,894,652,291,585,942,
268,264,535,805,037,434,965,833,269,374,560,026,783,188,426,836,605,259,913,
197,661,671,842,919,272,762,937,803,137,769,216,362,113,276,372,651,860,183,
456,761,049,491,183,548,449,032,806,880,671,951,804,835,647,614,626,803,965,
999,414,990,224,938,353,440,448,091,885,488,375,013,544,193,209,938,402,714,
137,367,806,583,324,138,740,544,897,545,206,062,853,774,023,327,268,471,677,
314,329,957,349,635,655,475,666,692,829,183,944,862,054,184,385,473,370,097,
403,229,737,021,401,735,360,992,851,766,504,210,251,543,901,391,005,468,155,
697,446,251,467,658,412,188,013,809,311,641,286,189,131,916,289,098,811,053,
395,734,795,698,884,474,111,958,016,313,474,654,798,258,186,648,895,930,191,
207,439,220,924,299,028,745,923,037,107,190,582,597,877,704,205,677,531,724,
196,691,631,659,042,697,701,460,878,120,822,827,772,669,881,371,092,799,374,
078,420,811,477,754,514,587,048,231,192,209,718,676,155,993,740,095,527,630,
729,139,895,979,252,710,539,962,895,745,504,116,034,470,265,360,540,028,989,
370,017,128,356,706,517,568,648,395,777,120,247,498,192,530,549,807,018,448,
134,045,067,220,163,761,275,912,464,943,132,551,764,424,685,261,759,945,146,
540,456,118,704,605,338,316,004,723,071,360,065,242,808,254,119,092,013,716,
154,946,449,610,113,049,309,996,715,555,892,373,772,074,098,602,234,249,725,
740,907,494,966,310,096,176,696,202,227,831,613,860,720,824,175,473,591,824,
665,248,487,658,172,694,295,120,790,674,070,405,715,117,251,683,976,246,941,
462,244,912,339,638,204,570,968,058,920,112,281,289,021,093,566,131,063,981,
952,522,388,921,368,344,594,278,522,112,728,021,042,665,520,819,871,138,367,
135,389,953,778,308,552,102,986,030,020,083,424,036,910,052,954,749,991,605,
003,677,422,661,447,193,276,151,569,647,538,306,794,038,204,919,363,889,464,
613,464,988,183,852,495,342,807,664,277,820,288,885,661,684,145,676,638,230,
872,186,524,966,993,791,248,764,892,552,204,503,239,476,041,472,134,141,166,
975,430,436,377,676,215,327,628,144,731,800,760,105,859,864,169,250,674,598,
261,524,122,079,760,543,093,500,295,658,229,236,171,002,294,117,837,339,382,
262,937,651,848,535,339,248,697,474,535,356,222,838,984,180,503,565,021,749,
405,606,015,571,844,465,583,163,999,872,132,749,431,816,897,005,204,426,672,
628,941,469,580,041,264,727,433,918,558,956,023,326,694,381,950,835,974,085,
990,285,007,344,333,190,135,895,681,477,311,129,735,957,909,305,111,889,133,
503,422,800,473,597,277,203,594,222,998,666,583,471,783,410,560,491,385,530,
063,772,392,992,692,018,602,427,014,712,918,669,238,351,639,548,490,767,612,
052,419,578,505,465,133,706,011,690,157,481,169,394,486,150,878,835,543,432,
001,505,850,331,170,306,028,409,168,659,974,656,705,838,149,241,091,239,744,
776,673,510,595,914,233,644,255,242,059,399,876,277,503,699,486,491,339,603,
766,442,150,304,491,906,873,336,708,539,803,314,926,772,904,406,006,885,823,
791,557,084,586,486,402,363,140,000,264,431,198,229,672,676,083,793,578,218,
436,980,589,321,305,875,419,115,646,320,940,901,317,171,257,998,265,901,313,
429,353,482,969,664,094,957,313,603,398,820,892,305,774,352,874,925,516,985,
482,203,200,236,292,050,402,690,257,176,920,119,804,205,372,982,040,673,989,
351,605,608,925,916,877,639,311,763,962,699,920,172,875,462,136,353,418,528,
403,305,490,969,267,414,258,499,178,594,813,782,518,122,852,395,183,736,432,
543,125,053,962,434,518,018,825,872,054,012,499,714,049,313,123,071,494,485,
182,236,220,907,381,636,096,191,064,924,505,528,998,759,442,140,483,179,519,
069,823,571,783,639,416,687,093,082,779,473,837,310,947,896,305,929,379,291,
122,863,718,924,297,683,154,868,482,068,611,435,895,219,111,480,491,309,029,
975,259,813,766,765,414,050,076,760,866,001,450,831,342,533,907,613,694,393,
928,206,191,343,366,847,295,424,841,558,546,416,225,244,128,057,412,918,987,
770,999,306,803,764,235,176,208,662,360,086,445,837,081,425,062,860,413,438,
467,744,586,002,658,544,555,719,444,513,840,251,809,522,138,444,555,561,526,
271,898,556,986,326,963,455,775,213,955,768,691,338,477,089,564,556,746,112,
664,145,648,640,802,447,166,508,512,911,633,528,352,117,338,906,312,164,756,
173,396,775,001,160,595,854,702,885,161,321,839,140,096,559,397,411,442,020,
419,486,755,561,172,248,059,714,275,629,338,900,871,809,188,151,220,060,589,
534,319,049,529,244,937,681,284,969,670,251,469,902,671,332,329,011,150,156,
952,845,849,189,082,993,619,998,084,748,935,346,483,013,812,147,457,138,342,
179,575,585,615,932,279,407,470,787,388,132,365,558,718,044,703,797,138,115,
335,616,656,527,098,588,086,945,065,824,829,521,154,350,694,671,054,191,195,
093,192,573,730,648,149,666,973,014,279,422,472,094,790,170,370,613,638,079,
476,708,314,926,557,027,281,704,674,677,752,015,200,945,487,233,655,063,858,
333,902,633,820,342,612,760,188,321,123,877,015,607,453,598,338,762,270,256,
736,012,523,492,391,935,001,366,952,612,742,838,324,172,425,869,341,515,687,
317,228,636,370,622,541,325,241,140,236,373,992,939,171,558,186,038,418,689,
343,523,982,145,685,258,760,667,219,157,068,180,871,955,887,802,262,917,631,
351,574,277,724,788,717,537,830,504,280,347,667,982,489,965,144,730,556,973,
479,822,541,802,117,649,610,409,205,645,680,396,193,117,429,601,167,696,737,
561,675,090,706,441,858,955,162,935,003,979,386,318,933,276,730,856,729,555,
488,669,780,855,982,972,191,211,921,013,838,958,555,171,728,268,417,814,625,
109,468,386,540,640,893,458,520,535,416,573,037,348,067,650,529,366,088,280,
275,725,179,699,879,352,619,553,163,978,049,297,930,273,776,140,057,218,892,
299,411,516,656,464,746,135,973,252,529,154,866,582,169,680,644,314,146,326,
416,315,252,338,553,680,069,205,494,247,339,015,119,142,798,883,955,635,885,
070,346,203,773,629,841,166,255,287,834,174,892,146,977,625,720,708,958,893,
925,729,518,853,064,041,117,863,293,552,336,980,742,918,223,489,285,602,845,
705,743,832,945,502,303,094,856,048,732,172,201,736,967,024,226,836,520,067,
348,278,265,013,222,209,532,400,638,681,330,871,126,501,219,720,767,247,848,
385,886,757,253,878,036,346,399,161,043,597,023,040,694,256,032,604,780,556,
470,370,331,267,473,761,780,926,141,652,292,815,870,544,529,998,391,130,115,
439,263,850,657,597,346,378,949,925,439,467,273,623,574,242,084,089,372,970,
960,072,933,896,296,100,356,897,287,289,036,845,749,892,969,572,267,978,308,
017,023,756,748,443,930,749,224,921,417,933,362,104,907,604,421,904,875,253,
873,153,555,231,620,131,187,875,128,547,376,059,085,894,693,653,456,938,531,
489,978,156,733,405,658,465,694,067,795,288,907,833,721,320,270,113,951,621,
456,333,871,539,767,888,253,743,709,410,145,284,320,157,675,095,362,871,031,
555,851,954,395,178,510,982,479,530,549,553,154,030,676,560,710,494,548,070,
134,985,459,468,375,992,147,483,466,446,444,846,289,599,558,848,424,355,907,
827,519,427,189,519,771,151,177,386,848,902,971,613,013,375,307,681,945,095,
073,112,526,229,031,501,375,740,120,133,996,007,475,332,699,939,921,488,394,
438,910,499,107,433,672,746,433,938,177,851,169,010,561,914,623,212,912,341,
159,676,175,663,655,615,739,348,469,984,962,492,822,557,224,750,851,249,463,
520,638,416,717,917,136,359,555,244,905,295,388,468,814,808,994,181,546,453,
511,857,922,028,015,026,858,468,397,753,450,932,812,456,506,037,606,151,889,
612,494,959,966,610,228,579,288,472,033,927,598,119,551,399,329,052,501,515,
629,856,318,559,174,374,399,919,835,858,525,084,580,329,421,071,946,282,340,
775,603,352,637,026,746,289,743,378,624,194,908,725,559,686,059,376,261,040,
870,082,651,574,231,496,480,655,596,246,951,728,664,880,329,962,095,007,748,
077,561,172,084,743,954,037,396,353,237,166,040,137,457,317,271,017,755,231,
318,450,541,367,864,739,313,223,661,142,571,920,728,576,293,922,608,139,320,
419,793,529,376,925,337,786,448,809,792,224,882,827,713,940,065,528,189,925,
224,817,562,841,291,318,206,077,215,120,468,095,030,549,473,256,248,464,274,
406,167,530,759,169,819,267,691,709,286,066,073,588,916,009,229,670,683,229,
810,685,435,670,521,878,032,188,263,055,632,716,274,883,155,795,902,831,769,
241,851,223,360,441,737,222,725,252,078,849,569,255,260,380,147,139,901,657,
760,590,865,623,509,604,921,299,453,432,078,598,805,734,024,137,477,624,599,
804,456,532,342,904,023,796,519,590,335,137,217,989,449,679,424,878,428,291,
518,481,744,404,277,773,922,645,307,158,631,217,705,650,579,906,136,026,152,
404,813,824,203,757,258,600,253,243,853,639,019,755,903,424,705,950,453,893,
956,634,159,691,831,956,217,625,535,732,858,528,429,249,724,181,697,439,554,
724,818,081,259,552,795,540,651,197,135,397,687,436,261,307,694,024,651,881,
975,948,882,272,782,219,133,416,345,095,306,863,400,319,228,403,527,094,421,
187,331,858,388,513,932,099,666,097,764,353,757,124,990,864,729,171,493,432,
378,142,130,669,994,328,325,483,048,259,337,791,767,160,302,389,939,789,041,
162,280,244,328,543,857,628,893,291,592,909,337,599,141,685,028,084,676,957,
035,795,687,050,521,021,590,443,820,493,046,412,620,512,524,514,014,209,941,
331,668,196,161,921,300,622,647,764,237,160,200,659,399,381,707,829,420,787,
536,826,246,597,298,018,163,631,621,021,422,080,914,530,240,957,470,102,811,
348,701,698,997,242,212,060,970,455,146,236,390,706,327,156,661,956,182,796,
341,333,520,608,920,282,678,002,956,755,919,619,352,105,798,136,391,067,272,
304,873,976,327,603,739,576,023,298,096,605,666,418,077,821,177,812,326,676,
235,341,518,078,115,419,345,508,619,742,703,423,857,811,910,663,283,442,402,
678,469,458,581,908,621,025,569,121,777,398,551,460,966,504,564,317,226,253,
502,733,416,232,155,030,329,035,003,808,458,972,377,223,350,372,514,424,975,
463,470,661,365,587,428,899,641,960,919,929,196,944,292,809,608,896,293,035,
280,092,504,715,160,242,634,196,079,035,585,807,054,281,162,811,404,429,522,
734,749,207,957,243,716,681,353,924,047,638,106,262,179,933,372,925,997,009,
331,876,366,334,850,399,580,283,697,158,259,796,572,583,108,407,210,102,953,
740,321,762,341,774,889,781,602,986,656,298,066,525,392,306,775,707,921,304,
047,483,957,664,384,488,457,213,261,584,389,737,162,335,017,073,785,264,013,
668,834,980,469,587,766,929,609,100,840,171,514,529,060,009,380,159,356,411,
125,900,488,364,783,948,452,661,219,655,691,650,674,507,013,098,570,570,428,
813,720,674,337,137,936,973,398,461,559,671,789,582,222,643,394,518,551,744,
610,864,024,041,746,522,641,177,911,907,955,050,441,375,550,104,806,504,168,
085,456,108,889,996,266,553,129,298,547,915,402,141,874,330,205,984,145,355,
518,388,321,086,412,553,630,891,471,876,278,517,756,276,457,096,604,479,597,
480,998,262,791,625,171,940,637,466,752,876,915,948,816,347,660,096,422,539,
723,850,633,319,154,325,799,623,353,965,829,368,378,976,045,096,834,361,570,
273,525,860,538,183,534,517,196,419,774,471,312,343,256,966,148,170,953,934,
947,597,372,785,776,401,914,784,269,422,814,159,507,909,920,157,545,524,705,
117,137,933,063,041,482,148,980,798,279,399,383,639,573,700,381,903,450,114,
987,755,556,322,452,918,075,033,102,069,755,025,982,116,310,214,139,222,300,
314,070,040,168,837,507,158,541,276,245,420,868,295,667,246,826,925,930,399,
987,850,847,152,300,503,428,456,095,026,939,373,663,735,896,862,497,450,965,
820,016,816,662,000,826,467,534,448,448,609,600,082,280,179,626,442,777,384,
051,454,778,153,989,133,133,774,322,759,151,983,982,590,170,673,558,296,199,
941,143,345,223,051,461,729,175,626,895,944,403,198,627,808,349,782,489,713,
177,957,782,215,056,603,272,814,476,208,416,620,962,618,406,899,656,287,673,
047,607,430,519,669,031,861,041,035,281,517,839,089,275,914,757,987,725,613,
242,361,622,681,680,002,602,292,141,073,227,415,042,844,228,938,581,748,549,
186,040,489,538,434,274,468,189,142,770,577,369,272,814,301,595,158,380,195,
902,425,822,505,925,458,939,699,831,555,281,965,348,293,718,622,250,751,901,
162,097,520,010,825,074,332,835,880,408,085,962,585,864,634,489,776,159,097,
307,926,800,929,142,137,451,726,508,143,031,295,302,720,775,436,760,342,138,
911,730,348,231,607,982,942,878,499,135,613,301,995,223,127,513,925,949,787,
937,306,925,187,103,227,358,894,022,703,217,243,903,863,733,209,310,852,284,
822,571,891,795,159,027,503,769,324,513,293,073,940,106,164,080,802,401,360,
928,198,993,558,999,724,089,139,140,920,295,210,209,113,923,734,234,018,903,
384,691,766,945,829,064,384,200,510,510,446,370,891,780,758,292,056,265,152,
509,501,127,703,596,855,391,695,541,534,058,822,193,560,008,048,143,283,691,
305,531,521,840,560,656,918,923,141,956,973,100,355,036,926,460,521,126,064,
250,706,669,175,223,413,209,947,891,843,372,705,039,839,612,204,136,744,280,
198,626,867,636,156,974,159,311,850,752,250,152,829,098,819,441,866,844,411,
273,019,718,807,137,800,376,633,024,301,478,658,435,039,612,942,372,798,917,
114,910,865,661,240,046,262,816,212,139,528,920,765,669,210,489,917,671,278,
105,535,100,796,941,803,910,864,648,504,675,553,753,444,374,998,570,704,856,
100,909,487,464,387,784,199,946,437,079,274,593,215,259,753,125,757,036,437,
397,868,058,520,263,264,591,638,685,978,554,904,973,424,557,616,055,074,297,
561,958,512,283,015,244,559,308,150,779,277,368,448,844,715,353,513,030,470,
045,576,805,270,262,807,081,591,144,294,654,189,284,074,320,688,873,636,237,
661,535,738,906,548,468,256,804,676,874,488,549,890,420,519,221,630,005,596,
816,529,835,033,209,183,738,718,053,481,013,938,033,223,901,237,922,433,721,
882,836,786,859,772,609,129,793,631,127,773,002,230,177,786,467,286,102,142,
542,240,041,725,726,809,213,851,865,859,809,822,807,518,522,159,157,132,294,
825,472,858,223,177,588,956,034,939,839,552,795,299,711,767,541,674,989,997,
431,269,563,804,598,861,622,578,116,469,928,152,219,449,487,169,917,021,840,
796,338,365,296,373,993,793,752,554,921,689,874,124,935,347,117,045,504,808,
225,553,828,339,722,809,884,200,724,794,591,325,817,673,074,880,553,081,599,
773,593,062,051,720,879,886,884,608,823,689,189,778,812,637,932,351,072,062,
255,191,133,560,778,981,332,362,996,299,099,129,925,045,596,981,554,217,973,
089,873,039,194,958,735,131,491,260,675,828,343,553,160,627,474,177,940,803,
245,127,693,248,067,812,238,435,174,774,366,197,556,319,604,548,177,333,323,
281,779,090,425,234,406,294,697,158,074,196,736,098,190,072,841,531,993,502,
281,511,949,226,760,584,291,765,601,149,572,669,726,686,351,532,680,599,431,
106,508,389,600,221,978,563,005,523,687,214,325,607,637,572,057,454,720,647,
428,812,578,490,730,708,655,875,265,893,210,549,746,231,111,755,073,854,814,
529,400,051,024,313,715,476,497,959,563,098,039,737,058,037,577,742,140,564,
573,192,643,048,900,326,719,252,427,787,797,309,546,119,185,102,617,956,972,
528,474,342,500,915,759,249,504,433,466,099,437,641,106,299,278,967,194,501,
523,219,455,951,589,242,371,634,997,423,367,187,848,675,201,938,681,514,272,
403,602,869,308,996,094,063,375,218,047,593,245,258,905,458,305,462,455,721,
790,123,436,294,767,883,387,974,920,592,656,164,716,612,418,846,961,408,404,
384,505,388,165,723,458,762,215,745,273,465,859,287,196,112,490,182,748,752,
384,032,021,790,876,010,243,540,366,305,878,681,065,267,265,620,306,635,247,
394,147,102,624,224,150,987,282,445,848,342,634,568,455,550,224,418,618,523,
169,718,227,965,032,551,380,774,685,237,622,999,540,429,110,920,788,162,608,
779,932,045,684,325,910,177,149,254,135,847,304,202,047,649,008,838,227,937,
064,429,714,413,425,284,860,956,744,267,542,908,674,418,676,840,416,353,783,
712,523,932,508,103,244,262,067,392,823,275,632,019,979,814,819,467,261,252,
698,814,583,635,314,113,824,736,154,233,796,879,561,508,621,638,980,716,992,
130,596,702,285,196,951,970,753,028,386,913,982,907,223,093,790,423,457,772,
409,818,110,884,687,944,211,603,000,918,909,505,147,227,393,140,153,842,019,
973,692,970,001,817,235,451,941,598,506,769,872,789,926,628,790,423,632,122,
181,504,904,205,153,268,231,956,954,005,616,646,895,619,929,298,592,036,591,
859,977,412,318,521,763,250,639,266,976,110,656,192,439,346,455,010,861,462,
662,048,625,265,437,245,743,712,480,060,190,182,533,375,633,438,641,557,397,
288,255,982,331,762,494,233,881,281,051,423,253,804,652,431,649,356,700,369,
933,056,951,115,134,046,819,587,758,967,148,905,737,422,317,673,692,857,800,
840,505,609,802,914,339,056,040,169,153,904,682,393,807,782,625,123,053,538,
535,151,260,723,441,444,307,281,705,321,611,261,205,895,387,143,733,150,770,
554,457,703,805,842,813,909,858,253,810,196,605,002,808,310,447,800,274,102,
768,137,857,888,469,222,415,337,377,045,270,501,895,396,710,788,122,803,051,
196,796,968,294,360,852,383,507,194,746,652,324,608,856,361,763,691,899,903,
744,328,017,799,390,381,910,479,400,446,141,850,685,796,489,172,850,335,963,
263,520,782,106,071,274,647,697,057,094,693,713,152,377,164,890,761,008,099,
305,991,890,285,806,823,663,624,430,930,285,335,332,600,346,993,604,985,934,
479,411,742,967,580,900,813,024,727,198,034,512,202,822,816,851,170,349,211,
924,528,373,193,399,946,746,419,555,502,490,478,977,713,595,689,809,724,762,
475,027,569,518,272,994,344,236,129,029,858,711,670,630,992,742,275,533,705,
301,514,016,007,635,105,929,848,886,765,203,388,111,269,357,292,933,291,593,
792,519,575,066,459,412,418,724,832,819,339,192,392,532,992,150,838,442,435,
287,669,610,956,221,576,753,894,998,792,690,148,482,780,092,668,654,377,359,
918,909,734,390,178,239,547,629,864,727,512,705,663,031,243,646,872,112,899,
391,184,169,723,627,640,545,581,771,574,295,224,733,422,790,078,927,487,471,
586,382,942,261,121,663,451,451,832,989,055,652,878,211,929,580,549,627,002,
512,917,926,947,527,141,773,973,883,159,129,165,650,188,345,837,152,413,283,
631,419,609,076,188,725,027,573,161,738,248,076,802,211,264,908,107,390,297,
583,988,673,054,521,253,190,601,917,178,681,041,348,331,250,180,422,774,071,
935,155,600,719,339,136,237,644,703,862,294,533,297,356,120,030,291,790,041,
344,553,710,146,982,821,183,817,309,193,058,297,698,516,228,559,527,073,596,
246,347,397,379,390,753,601,004,331,762,929,294,296,248,832,121,308,783,075,
386,118,556,136,815,469,533,219,882,647,157,159,797,006,824,683,497,059,318,
571,829,021,059,411,918,824,477,774,626,976,424,167,548,643,724,636,044,315,
189,785,667,655,562,785,469,648,399,516,305,647,225,875,586,748,451,895,642,
231,479,547,172,449,121,873,396,959,091,047,263,392,530,850,293,072,578,139,
312,441,371,745,798,200,957,638,970,358,336,147,063,345,722,972,303,919,398,
472,064,679,896,857,009,545,036,416,979,436,415,830,011,480,546,422,905,870,
774,842,034,758,501,468,293,110,659,615,441,614,692,346,186,283,333,089,098,
383,398,711,635,349,597,030,437,263,529,192,929,453,377,420,031,131,851,297,
428,589,307,100,147,404,330,191,219,424,084,762,744,091,009,275,724,196,242,
864,635,317,414,560,693,789,946,512,038,117,683,772,269,633,599,448,018,531,
903,435,464,515,778,315,582,940,337,742,369,693,042,579,422,672,162,347,632,
837,403,171,114,207,390,290,606,200,067,786,039,863,743,618,784,837,387,317,
206,393,380,008,963,359,253,065,101,669,693,441,265,309,344,768,387,345,574,
242,045,182,529,086,615,189,255,410,606,826,489,557,515,273,240,521,286,295,
630,186,081,125,937,416,449,115,080,952,922,069,000,056,678,154,848,925,580,
421,955,152,301,660,575,973,214,877,010,187,293,146,622,923,133,369,042,610,
096,645,773,267,396,963,730,944,096,133,085,624,897,844,973,493,415,342,220,
304,571,895,217,412,762,219,339,659,753,488,762,026,364,281,807,642,964,815,
702,461,433,776,865,367,833,496,188,692,194,716,221,628,959,547,522,689,236,
580,394,950,650,807,080,321,302,774,452,076,526,880,376,904,749,882,452,231,
047,664,396,352,280,192,172,134,094,462,529,225,237,634,739,989,195,213,107,
281,457,283,842,161,602,685,056,920,707,454,232,845,812,710,974,680,261,043,
679,507,947,287,736,514,145,311,874,086,331,896,389,546,057,462,352,694,570,
473,814,157,194,301,183,593,748,550,005,234,612,258,911,702,164,796,175,652,
264,230,106,276,210,406,985,623,593,010,238,644,530,953,960,468,957,220,501,
707,278,961,054,090,880,953,019,720,809,171,663,442,471,813,300,155,151,215,
603,902,014,044,706,850,590,652,007,761,690,152,114,538,313,858,963,575,662,
576,593,303,779,080,405,230,449,734,152,378,988,063,619,794,238,402,540,765,
729,920,944,548,069,326,143,657,493,673,758,199,220,076,198,913,486,929,163,
007,664,381,207,261,436,858,534,824,703,647,576,697,024,275,947,574,226,996,
027,300,968,883,407,549,837,780,442,160,672,818,977,762,698,144,562,319,558,
768,242,351,424,947,247,877,775,887,588,518,217,068,592,152,912,946,588,117,
140,845,051,004,062,321,403,253,109,969,302,190,014,159,839,003,270,770,243,
208,423,568,948,415,059,677,040,326,659,490,591,888,896,189,080,610,133,689,
987,311,458,232,707,835,576,865,821,032,788,884,380,249,439,349,031,759,711,
738,791,037,671,932,381,027,992,681,464,670,089,967,110,139,211,228,673,080,
024,882,034,973,223,954,653,059,886,316,928,052,695,557,911,153,353,575,594,
400,211,760,098,333,829,544,682,185,150,043,923,555,513,114,117,953,188,580,
233,878,691,474,955,331,607,040,723,922,463,555,886,251,027,392,209,288,356,
015,543,677,284,946,359,219,426,454,043,440,811,377,500,055,947,233,829,249,
616,470,269,232,879,938,910,080,651,938,285,263,179,100,453,534,622,322,331,
591,864,512,251,699,743,470,557,455,106,682,923,306,292,325,326,766,188,575,
344,709,445,804,849,331,094,820,129,644,217,902,136,887,509,264,313,497,522,
566,201,812,314,061,251,622,971,675,233,592,799,406,754,875,104,167,028,529,
599,485,673,207,587,403,004,336,344,882,476,772,320,117,678,956,964,181,646,
514,692,675,376,021,349,900,828,011,071,969,926,936,974,058,871,142,384,408,
600,895,924,949,574,410,285,221,203,680,047,668,210,578,810,180,698,483,515,
446,766,588,902,768,761,523,270,086,167,197,324,637,495,233,051,112,291,654,
648,513,452,753,890,723,333,867,336,882,060,031,432,334,140,150,008,865,386,
372,055,262,492,508,854,310,073,379,807,324,719,278,782,640,673,713,486,728,
793,425,489,262,135,178,360,095,322,586,301,409,676,067,891,585,496,764,097,
628,219,469,558,952,313,447,342,255,655,398,638,285,628,412,620,742,014,181,
307,452,540,670,809,950,070,245,583,412,808,292,784,491,301,285,779,558,951,
298,203,767,948,877,963,082,330,006,837,715,143,199,428,366,743,899,562,028,
756,427,237,243,601,294,546,026,932,099,942,476,444,444,550,558,268,175,104,
127,313,688,965,826,272,901,181,269,254,936,179,483,721,784,587,251,835,710,
431,332,544,507,911,315,094,933,088,464,440,738,769,357,451,141,313,483,386,
434,903,182,878,212,751,158,160,972,888,560,634,573,161,014,644,835,600,704,
788,887,498,941,053,845,069,971,476,806,939,831,705,672,921,893,121,365,530,
953,015,777,242,643,749,034,014,168,747,227,956,349,756,139,442,209,104,904,
214,111,479,959,148,736,328,596,908,646,399,384,510,377,434,588,667,470,705,
858,982,424,648,212,804,607,463,817,016,077,509,941,840,104,553,379,920,462,
575,900,513,940,379,313,948,168,468,418,872,202,815,504,199,041,517,975,847,
220,951,975,289,435,987,964,645,524,355,553,350,227,424,060,723,692,693,649,
402,449,243,296,120,129,461,514,579,196,144,154,828,919,126,603,353,244,884,
539,062,470,196,937,211,476,927,870,318,111,886,145,790,550,186,176,032,327,
687,517,619,554,426,847,984,546,835,441,215,906,400,188,147,308,843,412,564,
240,881,686,382,763,230,460,818,647,489,879,956,416,423,558,775,901,119,438,
203,535,897,333,716,922,496,198,743,967,219,545,091,674,329,380,436,337,155,
810,076,099,479,959,952,619,460,210,454,061,719,927,508,928,493,046,852,093,
115,461,909,642,774,028,780,240,920,787,683,129,866,813,735,712,241,401,020,
464,527,724,746,053,885,105,413,749,745,720,078,048,278,731,767,806,694,743,
020,282,257,632,329,544,944,775,177,701,653,534,330,590,058,298,968,079,468,
024,068,435,332,301,870,008,039,555,676,624,393,406,811,741,846,938,323,032,
944,214,890,299,857,707,444,926,731,380,372,309,569,254,409,492,979,400,143,
328,186,201,449,140,114,310,096,879,311,744,263,786,194,443,030,158,454,533,
559,998,135,914,393,259,367,334,530,432,750,181,889,093,461,550,696,240,702,
517,978,244,497,000,114,413,159,500,849,575,599,790,194,761,533,450,936,504,
625,013,189,032,324,088,443,322,822,758,807,438,358,862,091,565,535,050,956,
415,755,326,525,459,092,660,240,301,754,182,224,066,119,121,402,955,108,809,
572,101,037,920,765,826,424,550,068,704,672,294,072,163,552,573,276,924,561,
739,895,570,754,633,912,000,077,974,068,588,674,156,443,284,613,540,229,814,
233,510,851,946,496,321,287,543,228,456,757,318,717,213,896,034,071,035,653,
150,163,336,657,360,497,020,947,250,168,048,912,324,402,506,496,329,072,842,
215,026,992,837,736,276,420,188,948,131,240,846,597,438,556,116,963,356,511,
716,914,099,884,186,219,646,156,300,064,389,860,859,953,196,102,228,752,011,
481,863,865,765,197,321,180,780,946,933,200,851,889,511,395,778,779,874,048,
385,881,780,137,478,120,759,360,162,829,285,358,933,153,717,742,663,711,538,
629,473,114,060,413,956,612,721,400,448,120,329,399,257,389,543,092,063,725,
696,942,740,052,358,142,535,562,667,411,435,165,232,297,233,312,405,736,488,
917,728,841,463,739,667,300,593,979,609,823,057,622,440,675,803,404,025,886,
614,975,411,178,299,689,069,842,064,113,840,896,870,738,450,148,245,284,895,
583,347,716,997,517,908,524,487,467,100,262,768,251,658,673,475,155,175,175,
162,264,491,643,313,324,256,309,789,245,271,417,704,366,819,515,829,031,067,
428,266,894,348,732,823,181,396,293,204,894,721,936,917,680,669,258,014,609,
644,955,506,821,912,381,778,927,222,729,804,852,896,099,245,102,341,882,653,
664,426,095,555,765,642,010,934,791,691,083,262,662,767,742,264,222,484,324,
704,350,275,378,254,877,559,614,647,058,558,755,810,146,249,941,313,707,662,
046,595,834,419,698,817,249,946,610,390,992,650,978,846,886,241,242,924,340,
440,659,502,370,430,516,421,053,658,287,151,300,500,907,082,516,229,224,194,
778,973,786,228,808,670,820,140,336,019,915,148,611,512,077,751,535,131,380,
564,601,443,588,574,712,020,613,842,247,247,684,746,716,570,986,545,074,806,
054,258,340,780,232,977,483,106,740,037,218,757,802,472,814,506,993,390,859,
451,718,920,085,990,277,359,988,755,248,724,821,553,196,670,107,429,333,885,
447,716,048,676,244,219,291,274,168,877,389,618,137,801,180,061,462,296,678,
662,218,006,813,112,879,478,196,020,081,304,483,030,835,879,528,256,834,291,
409,030,408,728,405,522,942,233,580,275,422,228,419,053,327,068,181,435,524,
955,519,193,166,579,840,267,209,158,120,191,162,030,322,581,394,236,241,802,
675,348,145,098,766,359,382,245,655,269,148,610,703,016,536,251,457,112,856,
723,221,123,893,425,990,551,778,476,441,432,097,535,255,475,251,369,518,365,
815,095,570,903,227,515,011,196,956,765,393,565,864,264,300,173,800,921,935,
535,022,999,163,835,404,453,300,131,800,109,578,264,012,580,119,152,356,463,
058,094,757,677,566,026,190,852,256,357,295,160,272,792,764,200,486,258,385,
120,450,390,758,347,511,825,869,846,357,783,125,646,191,473,800,357,626,573,
194,984,353,260,818,697,288,388,789,862,446,772,718,444,721,080,578,265,302,
927,907,823,677,351,536,316,567,499,886,923,322,277,122,376,869,323,361,672,
825,732,786,806,636,874,390,633,173,622,233,643,231,467,328,051,698,819,693,
858,244,089,646,935,308,653,699,025,955,348,131,666,196,842,082,024,097,053,
633,369,037,514,513,455,872,172,649,866,041,654,425,238,096,766,647,667,445,
419,417,321,146,937,057,982,342,183,667,530,617,151,754,656,461,308,167,057,
661,483,331,890,846,092,231,020,708,439,865,555,395,078,869,146,870,084,231,
128,952,983,526,869,716,167,103,852,410,731,264,614,728,888,816,034,936,360,
221,198,391,448,941,507,550,398,609,892,216,787,409,545,225,644,110,107,682,
914,093,306,092,811,166,217,782,124,980,615,023,202,109,221,536,023,491,305,
996,681,490,336,719,131,268,047,956,888,646,483,809,276,321,527,928,363,676,
074,139,459,473,859,447,371,452,811,040,274,271,400,706,952,761,065,082,918,
499,194,030,172,196,818,985,209,408,556,620,349,020,182,211,939,677,169,726,
003,639,778,773,908,690,334,332,158,486,251,205,953,229,487,135,189,431,711,
638,001,571,759,830,715,122,187,956,886,886,539,444,366,748,691,862,968,933,
235,884,503,454,820,249,667,468,986,059,681,518,997,594,439,988,445,862,896,
370,268,941,379,032,388,006,743,927,116,890,458,948,835,623,501,695,754,513,
880,326,303,338,249,613,946,673,180,261,608,872,838,657,185,462,482,724,832,
568,789,421,872,632,237,031,272,451,347,444,272,155,250,486,529,652,545,427,
067,352,270,475,657,465,721,513,472,746,491,924,535,361,095,031,623,342,495,
758,917,265,776,410,058,506,910,542,682,484,224,416,561,421,324,404,590,473,
465,472,266,437,079,763,149,078,953,036,385,465,389,278,155,387,589,487,201,
137,675,622,154,765,190,539,881,869,285,136,799,005,334,796,698,909,704,710,
903,317,193,186,830,156,524,765,451,939,883,265,467,183,550,409,434,912,725,
185,317,147,381,916,420,549,766,402,153,464,446,139,297,988,002,001,938,438,
034,576,134,542,384,451,221,794,516,988,942,569,705,186,469,299,502,883,126,
902,850,687,430,745,277,620,886,789,036,466,899,889,617,870,533,748,354,048,
541,091,225,090,186,479,607,992,125,366,551,762,630,430,267,319,526,214,088,
958,482,328,792,738,445,788,446,847,444,263,939,332,616,999,464,371,793,375,
337,168,250,942,200,865,924,256,228,134,681,453,719,346,931,727,059,920,341,
166,610,489,886,639,068,450,178,357,998,899,967,262,114,549,756,422,246,968,
188,468,355,465,755,100,893,078,881,250,638,962,019,424,008,198,549,290,915,
489,443,348,836,691,994,776,435,803,240,086,357,692,374,409,810,619,956,996,
984,784,003,796,990,028,178,581,611,638,119,737,412,773,996,317,934,290,585,
748,989,120,080,713,848,465,786,377,558,274,100,837,433,652,022,701,424,869,
401,195,687,547,901,746,779,433,439,203,035,283,718,724,388,334,456,547,800,
887,177,154,087,228,401,687,119,398,713,521,746,478,354,456,012,946,589,837,
697,277,259,392,542,249,139,078,548,421,649,086,755,591,449,642,748,580,950,
343,188,385,095,623,958,366,873,827,887,223,371,167,522,527,574,718,481,290,
783,408,592,226,302,524,582,645,628,335,951,685,658,885,703,167,039,747,960,
216,589,924,284,809,249,257,812,286,687,111,922,283,582,565,613,354,312,710,
981,218,505,660,971,825,140,137,731,522,741,034,145,116,761,143,979,375,840,
452,234,006,282,078,124,084,914,244,627,382,884,100,578,140,492,604,916,191,
157,788,947,045,752,966,187,788,499,210,732,119,897,129,747,984,090,564,764,
092,305,198,943,856,717,250,324,592,227,628,925,554,904,358,787,202,141,547,
155,797,011,506,533,373,707,440,433,388,591,519,067,602,932,036,950,832,609,
882,315,100,100,489,551,904,445,903,108,059,785,629,184,418,016,116,784,788,
265,145,774,092,830,340,882,385,563,215,344,595,940,988,769,564,704,351,672,
672,571,066,553,960,794,054,228,906,854,910,838,179,079,285,082,529,237,774,
258,281,358,745,680,311,304,686,356,923,659,715,977,842,136,038,497,315,233,
533,550,875,752,794,502,957,932,986,258,880,299,468,993,044,965,583,551,767,
288,303,975,839,287,829,366,300,811,870,148,962,383,903,531,327,540,169,301,
921,511,573,184,148,958,755,284,211,694,817,271,190,678,459,829,168,203,555,
380,435,764,416,043,503,857,774,196,744,962,909,693,085,789,708,178,530,997,
368,487,257,037,898,078,510,224,121,989,471,168,014,801,727,912,426,086,499,
222,405,223,871,733,766,341,947,808,845,422,162,078,562,773,954,275,436,458,
856,768,317,941,306,361,382,723,606,772,463,910,739,858,203,599,325,326,168,
181,840,096,430,629,231,444,188,514,678,312,168,420,695,249,845,277,849,507,
356,445,866,091,048,440,976,540,603,118,841,185,936,479,654,630,412,748,665,
228,655,298,038,331,446,984,147,990,206,590,033,213,504,523,550,335,623,520,
887,186,728,129,681,508,695,469,304,425,441,731,159,534,774,722,257,645,396,
478,234,056,774,947,548,833,456,852,495,887,091,803,310,433,240,285,695,852,
626,085,861,574,324,328,222,699,574,876,986,466,052,421,283,413,767,509,838,
392,850,080,453,036,483,930,966,694,780,063,726,428,212,349,738,548,556,358,
436,219,005,340,451,927,777,050,948,024,775,478,592,622,842,855,813,927,090,
244,064,740,430,380,170,881,876,374,471,320,753,944,051,485,882,894,158,084,
397,618,607,312,431,513,782,317,432,277,377,555,504,716,695,288,012,864,641,
032,406,500,246,690,321,928,131,121,556,970,111,489,207,380,837,262,973,299,
998,577,899,654,352,586,341,030,243,942,099,952,808,444,985,610,712,221,158,
838,978,432,883,197,844,333,367,960,030,688,079,603,420,940,525,994,629,416,
605,428,907,901,360,083,644,759,654,104,924,947,866,985,951,154,300,169,549,
697,998,539,269,225,982,169,589,488,551,346,618,086,340,048,526,397,525,202,
926,898,254,753,029,457,213,951,369,887,737,376,379,552,707,142,352,879,107,
559,836,609,436,271,860,097,446,680,200,182,185,527,636,603,325,013,106,983,
042,801,679,160,873,158,295,523,586,319,711,574,984,064,082,006,420,584,539,
223,911,584,343,155,092,308,345,983,235,990,422,159,003,090,873,012,826,555,
815,435,796,431,060,794,750,947,173,011,119,805,003,508,818,440,022,206,935,
710,482,316,765,480,488,663,280,665,038,985,254,903,489,541,663,060,204,072,
491,915,992,513,105,012,657,953,717,372,861,594,390,128,238,710,240,772,136,
587,325,473,058,737,407,009,607,657,007,749,772,673,930,641,644,310,868,011,
857,727,046,152,091,373,804,921,750,071,380,835,858,583,084,055,261,842,402,
235,119,170,298,305,644,808,859,014,825,887,921,425,787,418,622,903,961,564,
293,306,370,515,982,497,270,443,379,257,883,852,544,905,448,559,891,119,389,
599,986,593,692,485,714,319,722,641,573,088,458,976,622,230,538,574,599,298,
132,410,672,618,774,732,694,458,565,181,739,569,749,300,928,995,894,309,733,
800,807,209,647,518,758,520,071,208,307,148,819,785,898,886,025,383,131,752,
316,773,380,440,245,446,826,823,360,410,915,613,980,989,899,035,122,263,319,
642,196,501,955,966,598,724,218,828,412,396,386,845,619,341,249,003,602,590,
540,266,415,830,729,791,777,763,469,781,062,027,857,137,899,396,075,976,144,
023,103,604,468,160,822,331,305,028,833,276,607,672,289,383,593,055,595,382,
208,666,784,604,560,685,784,023,988,943,132,098,025,171,115,489,390,726,204,
953,024,167,116,401,697,562,711,642,042,505,691,446,505,015,710,182,216,140,
833,172,008,941,272,603,485,369,649,547,401,541,186,042,826,312,464,052,211,
851,245,671,609,217,080,858,568,991,325,907,961,513,958,632,229,911,732,256,
645,027,076,822,279,445,263,250,401,903,329,121,769,029,467,397,655,980,684,
806,793,414,020,875,909,880,388,049,324,106,902,916,793,696,067,820,406,429,
942,918,643,810,320,137,943,234,776,066,806,752,719,172,763,537,810,404,908,
666,236,106,264,637,916,939,280,691,316,723,537,550,487,891,516,383,322,075,
410,716,734,189,183,967,537,263,612,134,259,812,787,069,722,365,315,052,557,
618,337,992,014,215,678,004,090,176,677,824,805,369,423,731,998,156,844,171,
996,951,021,683,986,003,336,907,930,834,812,406,417,402,126,983,793,953,081,
206,158,766,697,832,229,753,601,744,665,247,155,145,903,929,403,230,066,319,
554,389,233,674,217,288,718,274,106,607,357,234,978,549,135,320,388,857,035,
865,489,207,947,996,817,718,369,704,905,232,626,735,032,620,522,549,665,470,
400,934,677,575,961,299,199,587,608,304,546,317,836,758,724,375,922,341,770,
926,511,508,608,576,654,832,005,741,526,058,629,562,156,070,429,053,848,753,
085,046,622,516,499,386,066,311,534,532,894,442,335,307,476,810,797,755,150,
664,191,119,333,309,519,927,850,479,836,896,485,858,510,612,995,056,128,939,
709,334,545,208,222,280,076,304,156,876,571,600,559,960,626,755,887,407,674,
039,901,097,056,328,406,021,704,151,022,769,102,809,278,308,587,956,122,970,
635,544,139,436,119,963,875,558,782,051,263,979,865,837,581,835,694,174,275,
925,103,799,689,616,954,457,897,786,779,856,303,905,518,472,642,075,440,734,
353,679,655,644,188,240,079,543,061,423,810,489,254,005,825,613,356,902,886,
676,994,590,868,129,641,938,374,546,663,464,154,471,955,988,701,292,354,543,
476,912,849,285,148,597,318,536,266,248,333,648,100,189,507,484,968,792,780,
736,685,131,796,538,328,179,487,908,306,485,830,420,072,874,295,588,466,965,
507,096,315,491,491,385,434,449,503,926,563,541,057,103,343,281,587,593,610,
995,547,984,092,121,045,233,769,510,695,022,631,338,962,692,040,352,753,245,
611,550,060,606,741,362,038,399,567,240,816,602,310,927,975,063,913,788,556,
829,187,911,613,771,974,197,899,468,539,661,450,398,877,729,599,080,960,269,
002,273,743,256,609,758,366,341,526,396,377,754,717,147,938,011,478,210,418,
297,951,541,632,239,878,805,245,210,384,100,184,177,978,854,478,643,679,709,
988,306,984,273,955,601,463,854,357,866,138,776,804,444,953,874,761,739,828,
992,166,702,106,706,829,035,982,218,893,753,210,447,314,137,531,747,758,402,
688,495,475,122,096,925,881,313,522,077,248,095,999,427,698,810,300,831,797,
189,086,729,250,212,935,930,016,534,973,417,888,605,132,898,397,090,403,796,
639,122,215,907,220,186,168,032,525,063,893,292,939,185,849,619,374,952,521,
683,224,188,697,190,861,957,593,564,481,655,652,137,348,727,457,221,914,253,
767,164,499,879,475,108,018,371,186,891,268,837,745,694,656,448,812,377,733,
531,711,291,772,443,683,749,114,930,002,378,683,310,332,976,005,856,145,811,
848,397,714,069,738,524,030,813,349,471,746,044,159,704,809,588,828,963,682,
849,064,050,824,355,661,827,218,088,931,774,003,213,519,518,716,153,691,349,
012,883,070,533,213,540,676,125,443,733,207,148,115,391,336,914,385,746,938,
001,020,902,605,378,091,833,333,214,292,092,886,358,837,467,729,224,193,417,
321,073,184,285,099,833,225,958,848,203,011,530,019,845,941,527,615,261,344,
135,759,883,533,441,150,879,142,935,260,837,771,067,213,044,432,156,109,950,
172,520,768,229,539,257,788,528,309,451,776,544,811,902,768,878,542,830,169,
401,210,261,750,972,940,041,485,640,320,818,908,446,287,635,961,453,374,846,
245,247,776,783,547,876,517,358,817,688,015,927,630,822,981,605,102,761,628,
609,267,991,682,951,806,864,594,439,472,766,967,105,021,257,693,648,716,587,
703,170,772,958,031,427,209,676,961,117,329,595,129,024,130,749,747,692,346,
231,326,536,599,416,396,468,801,346,138,367,327,695,540,910,138,058,316,744,
084,377,712,236,578,998,088,591,029,689,552,693,560,550,103,004,245,976,444,
568,262,642,452,143,223,073,094,608,920,332,129,568,924,019,166,507,154,336,
088,928,054,344,459,996,525,691,156,294,346,415,770,444,888,609,684,202,978,
587,761,766,168,986,792,303,636,308,585,466,192,594,349,266,398,067,463,531,
910,433,349,276,512,092,136,311,750,983,395,031,431,827,956,080,097,485,972,
738,788,327,704,630,028,076,064,029,935,303,353,412,296,604,085,467,670,691,
746,988,092,613,955,889,332,118,449,888,043,566,399,489,687,920,378,955,919,
883,900,572,828,491,196,783,982,873,098,905,254,642,023,606,770,729,139,104,
979,053,455,206,039,709,278,751,240,218,421,272,263,733,878,338,870,569,164,
630,625,027,229,078,409,536,092,423,103,022,523,255,575,770,718,963,157,908,
179,144,092,185,933,762,936,122,321,271,104,606,789,515,793,158,727,004,837,
285,970,524,275,030,540,491,577,063,504,178,946,098,363,557,052,326,510,524,
572,356,507,806,255,340,735,117,832,406,472,485,223,323,720,125,915,942,215,
040,962,933,005,595,596,111,966,675,345,630,027,169,566,845,449,432,213,998,
664,093,701,000,213,655,755,325,196,266,013,807,718,653,640,016,348,842,606,
105,081,447,659,796,111,093,196,852,680,455,589,331,310,254,563,003,268,560,
798,315,322,636,699,061,532,040,156,218,754,880,575,436,155,367,137,655,798,
398,260,235,165,801,935,497,212,831,563,947,432,874,188,707,881,398,804,192,
970,921,156,414,395,151,574,904,525,010,839,656,569,647,450,286,064,290,513,
425,075,625,251,734,134,080,496,750,202,111,492,617,886,685,998,136,426,223,
231,408,320,355,461,051,983,936,114,863,182,281,546,370,093,933,851,162,470,
869,867,244,514,273,147,135,418,970,272,902,298,421,789,153,755,037,375,522,
764,808,153,601,735,378,586,123,088,794,642,510,138,806,141,783,819,942,634,
989,315,130,207,377,946,966,107,572,150,695,735,676,441,058,024,071,965,239,
500,318,199,870,178,888,025,004,811,119,568,635,146,647,406,383,408,076,503,
078,715,551,926,173,758,526,441,241,616,277,965,374,121,992,763,481,921,159,
729,575,609,152,247,686,014,694,251,634,565,185,232,313,353,447,988,252,703,
248,132,391,870,538,252,937,849,117,976,603,188,372,223,252,917,498,432,339,
074,031,943,227,447,892,534,538,669,460,481,310,035,188,959,482,828,711,489,
565,615,819,609,231,877,235,612,871,631,704,631,487,577,812,858,506,728,819,
827,973,652,274,526,796,966,318,875,155,072,308,100,033,235,378,736,150,332,
198,512,785,201,450,157,031,162,120,102,613,440,209,667,940,894,016,976,660,
599,835,490,623,122,494,245,764,985,888,881,809,154,224,742,696,515,269,734,
282,336,404,097,413,386,345,576,770,153,076,353,608,989,484,038,908,396,629,
864,191,376,681,820,611,901,649,535,605,366,384,450,996,743,989,765,404,113,
702,066,084,360,634,381,069,920,479,230,854,034,021,974,126,701,310,592,671,
379,918,488,242,769,305,539,882,483,971,237,912,455,713,251,536,467,015,302,
176,511,590,856,249,265,846,718,895,352,566,165,692,259,233,645,163,866,498,
231,978,365,131,520,276,400,278,935,529,246,366,043,087,988,723,932,857,461,
570,832,330,985,040,443,454,866,772,955,801,207,403,026,194,348,712,322,408,
070,957,399,550,414,516,910,918,944,146,688,195,082,613,199,337,757,837,725,
521,256,651,110,041,459,667,536,980,007,268,063,252,357,295,498,681,769,158,
258,093,576,119,834,343,164,018,323,593,320,975,098,532,890,606,050,102,468,
996,356,396,954,969,326,478,340,505,634,833,925,872,202,788,732,031,768,675,
746,669,760,683,411,193,671,508,276,718,313,219,383,771,952,948,312,846,652,
114,614,202,199,230,593,018,308,389,820,823,235,496,974,104,266,899,715,169,
910,372,793,426,118,922,613,933,932,121,453,471,133,433,061,309,877,883,830,
634,605,557,933,986,002,164,727,711,443,694,691,354,102,519,195,012,755,262,
857,790,913,612,452,717,815,284,133,876,858,678,951,184,975,470,129,064,287,
983,133,281,942,271,344,335,183,050,232,391,550,466,616,378,641,848,493,785,
745,823,904,979,831,557,316,290,158,206,664,107,736,455,152,471,336,766,967,
015,135,819,347,497,449,428,518,001,270,375,531,131,345,374,617,403,353,723,
640,970,804,930,633,194,634,493,321,214,937,134,015,663,428,115,739,389,755,
846,059,077,111,688,513,531,078,545,230,574,717,372,257,709,157,267,036,156,
050,588,851,780,726,377,244,342,210,966,855,247,937,021,387,288,324,416,256,
337,850,524,336,932,272,338,590,968,342,138,141,802,608,512,832,201,250,687,
689,057,039,858,694,057,870,145,396,068,091,687,989,860,906,174,361,377,266,
780,739,682,033,949,367,884,642,293,602,228,997,970,410,052,503,197,014,084,
891,072,871,877,789,275,824,261,359,113,010,127,828,669,145,895,819,461,489,
577,225,084,525,883,872,507,703,021,553,132,721,938,392,769,960,571,658,691,
476,409,164,027,270,884,993,962,343,115,543,773,202,642,593,947,628,777,440,
401,327,502,434,142,868,264,404,291,378,131,266,137,031,109,912,137,883,802,
701,492,625,435,941,507,567,273,056,611,192,669,604,619,805,584,192,029,410,
822,317,749,106,164,800,379,322,933,527,836,243,535,206,763,983,781,906,329,
321,642,936,487,306,157,759,102,536,404,392,760,442,582,855,190,637,700,110,
791,369,004,737,954,641,824,052,246,489,599,424,858,388,774,913,711,730,965,
477,064,929,225,777,694,241,724,360,072,370,813,728,352,162,116,977,985,419,
373,072,638,475,094,304,929,649,535,527,667,961,787,666,154,173,133,477,989,
183,388,037,111,050,110,526,841,548,715,821,811,610,989,560,821,916,677,760,
466,058,523,090,288,287,844,844,104,861,991,827,942,720,727,694,374,813,215,
563,592,795,194,128,655,709,956,912,201,232,902,782,554,802,352,587,668,739,
511,529,192,370,946,802,554,310,610,452,880,491,035,700,253,161,164,373,426,
041,298,328,971,692,726,196,345,984,978,549,424,876,338,579,910,240,099,604,
042,603,818,980,964,906,207,506,531,080,332,127,020,002,226,670,819,556,918,
581,463,320,748,764,332,744,300,578,065,989,648,281,643,310,014,464,378,425,
654,966,488,370,956,833,189,703,787,021,580,708,780,286,586,213,375,360,393,
947,322,421,251,323,241,129,617,821,989,356,111,979,516,024,118,085,202,444,
040,856,279,506,668,949,942,684,928,688,111,985,318,213,882,126,138,770,223,
179,095,931,502,879,658,493,947,761,699,796,409,522,901,532,615,850,039,037,
970,488,835,648,056,511,892,798,421,655,366,659,814,651,899,483,441,791,709,
062,418,965,881,557,187,901,188,811,778,578,600,431,856,812,952,567,152,059,
810,229,590,913,781,265,234,170,948,374,540,748,579,801,862,591,371,946,865,
449,031,158,348,811,924,958,132,296,191,408,857,011,736,089,434,796,698,289,
268,956,497,084,941,932,855,012,856,344,797,168,933,016,483,066,846,361,457,
284,968,991,864,597,250,758,484,060,309,041,874,002,214,326,600,953,291,334,
230,732,370,530,264,160,838,634,960,681,818,476,321,140,005,636,362,132,764,
624,283,909,305,603,335,130,321,986,961,028,544,360,415,233,798,209,570,446,
875,512,718,806,512,531,201,725,380,466,875,121,053,211,420,742,911,307,755,
176,215,428,130,216,477,782,694,014,754,940,738,249,017,837,278,567,782,243,
205,330,561,077,783,196,521,622,977,071,529,252,276,724,237,783,725,325,898,
230,520,243,906,362,456,965,129,816,734,731,770,319,642,822,023,625,270,466,
469,929,138,746,335,551,163,521,843,533,578,110,506,744,606,358,941,506,362,
539,119,788,433,346,532,492,038,306,258,112,643,029,714,881,182,386,868,654,
947,448,500,848,066,237,384,130,572,701,567,730,890,296,720,312,621,376,335,
807,189,459,231,512,416,419,967,336,657,974,870,369,190,534,899,695,386,789,
079,330,170,261,760,906,455,953,594,581,748,356,469,294,137,126,960,050,056,
864,005,869,489,309,377,425,924,389,475,799,408,172,336,955,466,334,657,410,
336,191,439,224,033,145,160,418,586,516,374,261,854,293,851,907,293,762,771,
829,607,591,360,193,023,064,967,018,474,751,547,230,224,968,936,744,855,675,
686,764,591,651,020,239,566,046,780,643,953,944,162,541,958,386,028,219,653,
021,570,181,562,787,018,239,556,847,116,285,161,947,670,817,367,732,371,002,
195,728,888,807,301,355,027,387,599,704,051,242,569,561,760,237,746,764,418,
461,492,706,243,302,957,236,097,469,100,902,841,704,189,274,578,620,092,033,
334,001,087,332,171,132,572,840,867,948,070,920,425,036,794,049,756,225,428,
810,176,471,255,756,860,279,617,849,008,968,118,144,498,219,739,238,343,013,
867,908,066,862,185,437,952,750,288,662,117,394,199,890,190,350,865,678,047,
791,567,846,442,418,629,798,083,338,531,219,355,723,957,967,745,009,785,361,
226,917,110,366,655,431,665,851,414,143,054,809,952,824,333,565,693,419,104,
229,785,339,906,042,121,616,846,643,692,068,320,537,708,468,180,325,856,950,
172,159,760,657,362,700,963,013,872,230,369,140,843,318,431,438,724,505,892,
720,571,416,367,660,738,070,419,044,894,159,975,520,342,199,960,659,692,457,
910,589,480,402,970,689,646,017,353,046,130,211,050,072,859,144,413,984,654,
084,340,898,664,412,360,364,053,290,556,660,347,567,896,589,768,325,368,542,
454,018,975,740,676,974,136,424,172,735,020,682,077,397,211,229,169,243,464,
964,699,699,776,904,830,095,832,411,084,248,525,448,978,551,775,933,280,373,
679,895,426,322,803,594,656,815,760,235,343,534,505,107,919,400,514,481,375,
345,453,348,037,599,219,204,678,209,572,335,679,127,956,527,680,217,194,632,
910,888,422,203,192,212,706,022,930,779,346,612,062,449,015,847,307,408,938,
935,007,188,089,159,627,530,656,278,840,036,143,934,325,975,690,630,842,867,
848,410,597,225,488,043,102,491,136,067,632,968,437,977,136,129,856,414,436,
399,498,606,537,712,770,942,979,534,593,317,158,163,575,802,848,076,455,758,
012,255,634,717,417,055,313,328,308,156,498,801,085,756,534,976,720,789,478,
458,643,598,645,853,863,921,185,834,191,557,582,042,468,235,111,173,901,237,
826,473,429,444,065,338,758,518,959,864,519,124,949,146,425,391,085,107,736,
035,048,844,621,299,496,459,445,902,160,032,667,959,211,114,937,244,445,709,
642,193,827,761,784,146,648,138,342,786,296,821,284,522,091,394,023,807,329,
545,505,275,635,301,110,770,105,968,893,702,806,854,899,427,670,208,746,583,
103,938,518,246,653,128,711,957,829,963,151,938,447,344,983,087,329,796,356,
392,315,601,264,273,016,603,332,023,017,590,626,098,408,797,710,808,885,664,
405,997,195,515,743,738,152,195,905,626,701,704,157,650,070,950,715,477,489,
507,985,683,796,016,311,537,178,974,660,298,024,443,740,587,963,887,141,706,
236,327,220,877,776,166,416,414,520,807,430,924,728,214,033,601,316,208,878,
091,602,626,716,353,068,027,242,967,671,989,421,515,605,030,966,645,880,143,
467,772,523,452,918,843,603,736,812,527,905,282,640,465,491,929,772,389,709,
340,948,745,008,426,958,242,566,722,881,407,647,040,038,398,706,173,172,547,
926,007,644,479,807,202,260,769,835,970,840,206,439,173,097,575,925,861,763,
680,209,733,249,949,177,501,098,053,147,391,823,379,972,643,633,237,723,020,
897,483,373,160,038,244,648,128,785,622,065,156,455,096,578,630,789,294,560,
579,183,892,866,712,389,477,778,498,700,971,675,582,404,287,694,065,315,622,
273,781,033,176,596,544,198,186,667,223,325,975,694,787,612,461,179,729,246,
031,737,975,428,778,068,030,106,805,209,065,225,507,249,751,024,075,319,608,
550,377,268,483,127,861,975,330,084,045,519,146,976,306,961,069,700,456,266,
351,410,408,118,833,352,162,272,065,707,861,673,333,266,219,017,680,670,702,
598,230,279,145,058,204,116,618,488,077,483,302,395,360,827,013,057,454,975,
637,673,135,514,916,469,009,599,373,596,450,821,991,991,562,185,643,460,311,
814,387,445,871,230,405,665,534,017,055,669,224,817,000,714,832,442,348,629,
992,576,420,794,366,151,854,007,087,912,308,224,885,496,249,437,236,203,045,
768,141,438,107,017,380,609,879,815,101,580,279,679,697,827,050,453,915,157,
935,697,566,527,399,112,813,154,446,295,649,032,178,691,659,469,270,392,960,
379,352,036,346,945,392,612,359,569,208,424,148,364,343,500,705,212,321,021,
139,193,816,561,621,008,027,345,721,388,602,546,383,253,834,828,061,483,559,
382,052,161,513,128,140,180,408,537,272,560,331,981,516,302,098,593,638,640,
928,090,217,123,344,917,819,511,313,885,500,661,715,474,382,539,342,839,777,
713,791,516,459,402,539,860,322,389,563,389,497,157,051,307,060,550,206,733,
994,747,224,865,196,541,835,728,556,473,560,545,657,944,790,600,621,679,550,
840,052,313,523,538,160,344,246,993,682,334,935,365,068,200,321,107,953,506,
826,709,395,802,246,007,268,971,188,432,270,578,359,025,174,483,164,362,736,
945,550,666,081,061,650,329,501,861,081,752,593,692,945,166,218,969,073,248,
034,425,919,311,842,454,477,625,513,895,455,127,246,102,619,882,409,898,175,
891,163,331,093,642,173,351,431,830,871,626,794,035,857,766,448,317,624,562,
479,695,844,681,254,812,378,745,282,135,512,074,053,173,904,491,381,994,925,
100,511,699,464,188,267,043,211,767,628,227,592,575,698,469,828,459,227,496,
067,618,962,431,551,350,649,108,646,623,411,685,948,507,845,003,121,443,855,
366,334,327,882,833,027,507,812,563,558,395,705,431,399,265,198,151,641,159,
983,476,737,525,471,586,747,018,772,454,860,956,154,759,845,422,181,403,783,
189,742,417,579,328,822,776,237,867,171,551,881,869,510,029,963,850,750,912,
969,210,077,981,104,736,962,146,406,528,930,309,699,526,868,881,252,274,649,
350,244,737,039,948,552,734,166,021,632,049,073,925,748,020,125,688,411,145,
802,207,305,227,280,870,346,478,498,292,830,496,698,709,762,823,096,483,605,
697,883,445,881,652,592,581,032,072,180,265,571,824,181,409,228,269,367,452,
153,238,815,480,843,988,238,124,384,343,889,702,629,612,096,947,722,261,234,
964,773,343,401,841,146,039,866,988,291,818,305,368,143,411,569,591,693,804,
031,778,485,869,485,428,341,872,346,394,522,487,364,122,678,387,602,866,362,
002,988,527,281,692,823,249,132,563,314,157,903,543,014,475,281,990,606,177,
016,572,910,771,186,891,781,938,745,457,199,069,324,049,446,982,181,210,051,
860,308,943,030,444,646,893,161,800,534,345,800,713,450,115,748,645,058,499,
097,530,093,176,198,334,081,724,314,127,106,835,425,847,401,158,586,375,720,
487,421,034,281,117,205,466,140,241,810,801,341,456,830,916,372,069,021,051,
460,592,566,771,475,742,751,621,476,392,001,008,988,075,865,975,400,671,810,
222,664,619,235,403,437,122,457,600,480,580,604,414,235,379,522,800,988,074,
316,055,681,176,722,818,212,267,604,907,902,280,021,970,544,329,743,586,763,
485,618,538,470,599,368,950,250,126,693,027,036,930,135,526,135,167,828,225,
226,096,884,143,828,432,946,348,656,999,428,849,131,198,912,425,877,811,040,
959,622,188,906,039,998,201,708,405,735,757,421,377,037,600,722,206,397,924,
122,430,391,429,468,100,977,791,825,623,242,966,256,972,377,779,749,697,220,
752,773,044,834,018,205,567,898,311,654,504,452,579,640,600,897,551,278,221,
340,736,348,812,494,547,281,632,071,783,470,950,552,575,845,151,692,308,495,
246,882,504,303,020,593,270,418,972,525,304,112,655,056,811,135,901,980,069,
035,399,464,269,517,407,378,096,398,948,723,815,128,396,404,470,866,696,330,
762,917,517,591,121,838,602,213,724,794,829,354,939,550,891,191,197,531,408,
231,284,192,956,349,827,816,018,640,342,711,236,411,358,786,093,028,005,930,
982,790,924,344,377,734,209,017,002,792,119,293,881,962,152,331,576,863,390,
546,511,457,853,542,081,333,278,098,724,144,121,660,369,535,382,644,906,518,
820,377,828,931,476,131,799,138,222,887,492,640,286,134,287,269,370,479,377,
697,237,217,104,020,762,670,368,476,772,811,489,869,716,869,145,167,477,507,
669,315,649,166,556,122,685,372,009,253,540,577,918,260,914,407,231,671,266,
132,327,480,635,712,067,495,534,347,340,599,822,342,281,835,672,877,232,491,
660,351,349,602,143,873,678,308,023,837,719,447,033,573,748,112,347,694,266,
042,798,381,246,030,938,640,973,654,408,862,043,659,054,041,345,785,958,029,
455,220,487,678,171,534,726,598,022,412,500,624,396,882,304,488,426,973,685,
994,035,968,112,251,038,050,044,059,933,153,826,862,735,263,318,021,263,591,
156,385,308,643,854,300,000,128,846,095,124,110,745,579,741,692,965,164,083,
440,800,416,306,547,629,901,886,534,771,122,304,405,861,488,409,610,295,106,
581,404,875,986,555,031,822,159,094,653,541,501,583,055,785,391,674,624,244,
745,745,222,347,805,817,747,722,077,431,640,052,029,901,467,295,650,933,941,
184,787,972,285,477,535,359,365,226,181,916,322,890,465,285,312,695,232,757,
585,568,482,948,861,670,805,249,341,011,629,568,827,259,881,155,427,180,767,
260,903,468,309,409,658,246,078,881,935,523,266,231,751,183,225,280,037,766,
224,074,787,311,711,792,678,813,285,460,505,804,814,417,552,580,003,565,314,
710,301,888,317,653,318,359,454,165,003,726,039,708,718,377,544,113,116,919,
644,422,022,726,932,212,056,995,750,660,773,293,750,395,639,989,899,804,867,
641,297,592,957,310,607,626,692,370,836,288,523,746,967,720,486,432,865,032,
825,645,137,827,236,557,628,911,044,763,986,313,109,723,405,111,584,870,356,
279,649,749,036,364,874,295,802,396,612,649,060,386,937,994,113,868,866,365,
143,235,297,229,462,829,085,823,313,690,492,280,790,703,437,299,928,791,151,
038,247,493,558,586,754,266,198,883,397,567,461,129,639,531,704,403,882,454,
092,341,740,531,627,656,971,323,046,244,676,118,162,277,304,020,891,628,064,
381,323,987,996,143,102,162,976,655,536,150,775,678,794,161,622,623,907,373,
510,240,580,495,789,327,431,627,499,918,256,308,773,195,122,023,029,397,742,
569,337,654,156,031,195,043,662,430,928,216,419,137,676,713,206,781,588,307,
014,155,014,041,043,349,892,471,615,773,753,157,042,826,123,135,293,236,009,
364,971,503,097,496,568,161,263,627,752,835,919,716,713,224,191,033,047,290,
699,908,543,285,069,771,675,073,107,077,295,833,480,506,511,572,471,349,676,
972,018,269,868,547,064,078,523,711,187,650,672,663,493,463,503,455,301,980,
926,706,194,355,193,373,147,788,871,538,344,125,348,473,996,175,795,381,121,
307,927,532,896,251,212,417,953,732,914,285,863,095,966,003,389,870,274,574,
138,920,145,125,092,641,891,953,048,659,892,279,846,775,886,973,721,120,628,
270,056,230,630,669,313,952,527,388,574,846,446,933,992,184,452,377,556,900,
356,050,810,247,577,316,376,919,567,049,430,693,432,686,960,096,859,253,870,
974,262,226,257,102,998,484,150,266,208,932,145,797,071,798,446,372,345,047,
012,651,440,743,909,343,675,562,775,209,661,042,567,116,039,948,866,558,949,
835,107,550,065,753,067,564,835,176,859,599,312,023,980,881,910,811,878,292,
634,635,941,103,114,936,661,539,692,351,499,507,819,254,595,580,844,249,146,
317,394,625,941,978,251,901,787,916,728,573,142,852,386,518,671,614,032,172,
413,371,419,837,441,735,025,102,621,351,747,403,654,798,435,746,060,406,977,
188,047,564,799,215,143,283,024,603,396,169,874,761,029,228,632,388,184,636,
233,297,415,252,336,789,304,993,638,173,722,611,512,028,904,776,224,317,841,
730,123,283,809,742,262,979,795,855,190,602,436,240,904,281,674,860,152,815,
798,879,136,313,955,772,481,896,712,980,748,249,400,666,825,797,761,188,787,
095,542,371,875,291,552,175,000,465,104,830,594,916,894,929,839,689,113,369,
724,641,059,740,185,865,843,268,475,750,851,299,840,080,881,102,268,534,617,
324,620,451,284,841,764,571,554,977,550,735,757,279,446,457,822,952,550,120,
867,167,915,810,144,486,058,873,747,984,984,165,315,075,494,747,765,464,512,
608,075,027,445,054,177,541,341,027,220,029,288,070,144,804,146,582,869,477,
857,358,345,143,419,460,081,797,665,205,986,786,809,490,175,423,151,184,284,
890,449,584,714,372,267,619,894,000,273,341,808,032,008,754,497,126,033,935,
709,242,916,822,330,947,496,098,284,450,851,857,814,594,276,584,833,165,101,
516,187,587,226,526,242,564,719,301,392,631,734,640,739,306,155,245,339,591,
431,500,291,042,204,051,816,036,078,885,720,366,719,488,070,168,266,216,663,
624,413,390,684,087,550,600,258,449,108,139,588,399,786,653,800,952,455,460,
120,117,490,205,153,147,576,579,752,028,593,600,798,165,134,966,845,303,861,
901,889,464,600,506,655,875,088,355,024,100,805,223,679,638,955,941,991,035,
937,128,652,151,687,748,697,249,930,945,288,323,949,793,875,342,708,867,923,
906,470,749,439,171,703,161,230,720,055,646,755,084,171,450,237,057,800,194,
775,831,090,085,968,216,254,121,487,430,685,164,662,100,857,210,633,521,393,
980,075,549,919,330,009,395,328,504,825,275,276,783,263,256,933,709,857,758,
225,728,138,749,492,790,936,276,575,633,229,296,255,411,415,703,218,622,628,
141,955,176,175,145,378,180,919,900,552,309,790,227,321,095,849,362,024,471,
143,534,375,338,432,442,051,349,955,289,551,144,249,278,639,843,056,370,859,
733,592,839,489,975,710,675,833,180,280,967,611,364,315,984,079,574,937,580,
987,899,937,252,438,554,792,862,021,841,430,489,798,785,802,202,041,548,206,
066,820,717,316,445,266,669,121,682,977,195,171,500,968,597,701,245,246,235,
417,172,489,961,053,477,121,013,971,417,971,799,420,456,798,276,888,835,738,
167,847,249,979,910,491,884,769,598,690,391,707,145,080,882,057,875,500,550,
999,104,090,949,792,259,308,126,426,384,614,633,797,061,270,819,083,587,024,
606,006,501,968,736,675,691,231,263,895,384,618,054,523,990,261,555,801,786,
649,702,188,868,608,309,367,583,361,566,615,793,817,808,876,746,174,899,143,
812,954,758,994,380,370,876,164,009,487,458,522,658,809,068,272,830,883,492,
161,988,310,033,081,448,765,107,475,736,313,523,827,708,000,437,355,611,503,
205,171,329,023,792,886,903,675,230,532,292,890,887,185,621,367,850,675,580,
684,922,350,563,412,408,448,504,649,795,858,271,154,838,282,689,985,491,640,
187,897,583,452,432,634,233,596,115,621,602,441,723,700,298,209,346,636,198,
705,452,194,730,452,019,218,652,802,908,631,758,500,659,031,100,770,526,496,
026,705,219,284,868,273,907,942,920,881,652,217,299,879,079,330,380,320,831,
599,522,190,526,022,263,684,690,677,090,824,788,372,224,195,313,285,611,657,
873,927,077,390,074,966,869,959,218,541,132,571,121,161,434,956,814,180,867,
027,082,958,036,364,560,878,905,214,390,706,994,018,346,067,148,027,580,960,
997,057,758,963,715,285,767,156,006,434,817,827,620,780,321,666,273,517,115,
044,878,201,919,952,003,723,330,970,851,217,491,962,699,691,351,705,600,187,
447,714,862,974,488,206,664,923,103,597,399,023,266,819,767,925,776,697,122,
525,050,362,515,117,475,027,185,993,306,103,742,596,403,415,844,592,546,278,
332,595,912,338,171,665,633,948,989,556,808,108,630,347,364,441,298,524,653,
334,683,469,135,336,435,194,228,338,080,632,332,591,647,586,369,083,319,973,
276,923,247,520,769,296,596,927,200,718,091,404,033,682,645,071,616,366,250,
410,655,995,785,213,324,706,993,232,924,545,096,658,947,309,704,204,175,856,
708,948,653,934,996,837,456,333,716,217,830,431,496,534,075,453,893,459,600,
144,782,590,243,118,924,265,570,402,828,467,115,229,074,671,664,050,414,408,
380,210,108,992,189,920,761,162,584,343,524,337,105,446,331,595,094,234,808,
588,760,841,903,928,866,868,861,917,530,174,291,284,643,184,889,479,568,509,
065,874,840,175,911,313,894,789,459,756,437,065,505,507,586,678,343,042,322,
063,868,564,175,282,737,964,675,172,979,300,372,553,863,936,650,497,814,102,
650,744,340,986,348,680,382,958,445,935,795,189,711,896,203,051,391,798,441,
914,879,367,205,164,483,571,108,397,181,378,082,967,251,545,239,641,654,103,
659,106,986,313,164,411,612,597,777,764,318,045,639,462,472,322,756,528,020,
018,350,177,794,965,810,463,022,212,570,628,989,393,982,491,684,387,397,340,
739,665,964,273,531,792,634,161,765,166,575,845,415,542,618,901,947,340,938,
889,926,718,900,480,078,793,358,605,431,573,296,507,069,069,964,394,925,293,
533,593,364,842,099,454,569,278,809,172,445,936,803,153,212,631,589,091,695,
223,913,375,473,486,100,723,668,774,057,720,311,848,416,062,115,881,837,296,
061,638,571,811,846,147,852,037,274,653,772,549,220,871,340,351,469,911,502,
972,295,009,724,420,067,906,776,359,455,409,766,872,479,500,197,667,084,447,
393,976,520,346,566,966,237,764,694,909,458,871,877,942,084,511,163,523,738,
081,037,687,243,069,236,737,518,424,467,019,179,081,967,346,838,612,729,262,
631,025,492,289,311,937,681,165,173,419,447,097,511,842,735,449,358,734,328,
896,076,129,254,788,433,271,561,740,750,403,066,264,041,023,314,334,577,265,
104,116,740,857,630,860,653,493,922,458,517,900,296,074,899,456,938,917,327,
011,444,757,057,981,490,947,968,548,957,168,882,207,776,448,934,175,407,875,
606,866,941,947,965,537,380,832,334,101,307,164,459,409,627,105,544,222,253,
649,315,623,897,449,467,446,423,553,418,321,216,432,715,849,242,841,966,028,
475,958,334,276,015,159,950,970,081,216,556,525,740,844,455,753,625,000,647,
008,639,808,828,004,704,422,779,418,854,068,916,134,557,303,880,465,757,642,
270,927,123,015,552,629,730,683,118,885,049,438,716,686,311,555,704,988,127,
491,348,448,033,441,186,893,443,655,892,142,281,954,574,715,401,826,039,298,
183,731,974,981,781,909,464,134,293,680,912,566,619,706,122,775,960,614,563,
906,993,032,920,400,964,046,390,791,949,063,201,012,523,419,355,334,739,210,
731,186,387,424,252,665,651,095,705,965,642,379,032,144,703,178,355,984,033,
033,576,506,085,412,094,050,200,496,345,016,073,081,155,624,259,192,167,190,
141,434,857,897,369,204,326,428,011,370,887,895,688,559,721,912,640,074,462,
004,861,809,073,862,122,829,911,340,071,436,483,598,917,854,096,680,224,518,
379,855,492,103,163,643,352,587,361,955,544,972,283,710,745,620,212,423,295,
383,730,585,838,482,106,085,809,854,497,625,918,650,046,536,217,778,092,988,
878,924,713,751,388,657,203,164,856,037,740,654,330,705,772,076,531,591,797,
014,498,000,851,016,824,857,645,077,297,039,569,608,662,124,696,672,054,892,
078,409,433,071,923,106,695,576,143,397,177,740,530,394,192,191,815,992,269,
402,602,618,875,202,496,850,213,155,069,194,462,886,493,400,806,781,611,948,
889,541,167,276,184,514,939,610,646,505,473,082,773,274,892,305,610,304,853,
902,282,423,505,315,206,933,520,461,055,297,584,254,380,527,182,352,163,045,
403,107,999,018,795,196,888,075,215,717,911,696,630,445,761,349,868,544,965,
661,953,175,502,666,075,923,811,015,529,750,362,527,756,917,377,972,911,946,
386,332,135,875,518,563,734,459,103,289,392,327,804,531,073,603,828,786,412,
036,363,632,041,238,521,998,066,368,685,969,468,885,133,265,929,080,963,370,
051,582,373,434,257,222,533,544,473,422,294,245,915,612,288,915,104,843,410,
833,871,837,723,585,885,337,743,822,361,629,472,570,148,975,869,392,072,280,
545,240,631,990,462,291,146,676,378,264,597,941,926,378,319,038,960,882,044,
199,553,286,940,053,248,781,579,359,572,438,160,703,501,363,337,149,307,114,
630,926,965,735,307,134,988,227,761,509,320,797,983,626,308,560,493,870,970,
293,306,384,473,162,636,436,109,964,316,435,884,379,941,243,670,053,744,581,
140,959,262,468,610,590,574,281,208,039,238,913,853,435,233,953,804,176,443,
802,799,501,027,012,669,518,184,827,139,090,944,290,066,896,481,424,285,152,
910,681,705,275,172,137,736,315,560,626,442,948,706,471,218,619,086,543,256,
000,639,418,987,839,975,977,038,623,783,451,424,423,234,940,353,114,950,086,
186,059,605,142,410,394,930,675,608,602,806,729,092,907,802,054,707,755,756,
175,199,696,912,559,283,761,308,445,326,427,515,941,063,101,749,328,148,029,
992,416,564,225,044,036,110,002,640,045,182,767,838,968,573,247,349,930,564,
372,419,581,038,616,261,437,067,113,062,891,796,452,963,253,916,172,861,840,
025,605,323,304,601,089,584,720,310,437,752,534,458,462,884,198,263,702,212,
219,585,039,651,393,972,378,709,978,098,604,105,409,565,761,440,519,651,835,
188,685,487,828,272,983,612,711,552,348,902,478,821,040,207,202,817,756,055,
327,681,661,296,423,788,998,376,737,008,815,403,696,618,948,871,705,104,049,
025,905,204,916,636,579,395,530,069,053,792,292,248,442,217,822,477,095,608,
322,932,469,262,799,024,145,745,943,889,374,361,844,245,843,378,690,498,121,
084,958,163,713,930,931,405,014,675,585,948,013,826,439,372,483,022,163,664,
837,267,152,721,866,912,809,091,787,002,127,551,294,364,760,066,403,183,387,
440,021,742,317,622,820,448,334,083,891,540,653,237,514,397,872,418,773,771,
661,729,109,073,823,181,677,346,436,087,903,887,152,772,409,037,855,161,034,
888,151,849,783,593,143,249,593,708,699,137,177,462,111,491,955,167,815,638,
378,906,844,220,989,161,810,120,864,551,974,934,147,889,762,789,323,019,790,
758,595,206,593,201,356,801,929,941,396,194,962,310,169,117,024,225,262,996,
915,847,194,069,030,550,548,973,669,889,324,138,350,610,938,072,947,525,228,
770,419,386,268,133,722,484,562,244,427,716,141,208,827,135,630,749,035,461,
212,984,484,765,085,338,971,358,157,651,114,913,316,778,312,113,647,086,133,
807,485,106,040,797,591,627,149,995,813,359,895,708,326,702,816,447,484,986,
615,395,817,687,582,318,481,804,478,811,871,871,816,284,444,903,947,704,921,
229,432,403,774,575,886,181,232,425,230,427,838,414,800,057,765,350,443,130,
306,923,685,980,863,222,734,848,041,170,646,960,821,281,042,808,424,526,718,
858,844,846,297,242,467,338,139,037,628,556,889,600,821,209,792,999,119,577,
094,088,701,444,530,884,164,431,165,986,747,052,221,708,769,039,524,573,121,
953,972,526,656,345,963,854,152,603,038,631,524,499,497,456,838,095,476,897,
756,591,818,963,725,270,909,395,797,322,749,345,429,302,842,927,910,494,131,
980,758,464,888,467,376,071,103,945,355,055,629,125,537,730,031,474,311,306,
623,883,500,627,401,453,510,860,907,759,527,741,762,694,878,486,685,515,915,
260,346,239,819,321,763,288,169,735,552,469,648,752,537,859,734,023,874,070,
302,649,135,926,699,124,851,293,213,609,755,984,887,958,756,542,989,136,697,
022,297,638,720,062,242,748,299,780,234,917,175,682,242,399,812,647,969,415,
298,281,098,440,503,787,900,427,415,368,181,116,787,135,235,625,987,754,477,
091,141,446,725,523,771,701,099,779,739,383,735,425,679,083,269,549,601,782,
974,154,165,988,338,799,739,253,795,627,748,779,398,186,762,573,065,800,932,
460,762,475,413,006,269,771,805,511,966,377,914,791,355,559,256,840,046,915,
794,237,936,100,689,393,301,576,551,298,553,167,774,095,515,202,767,131,004,
318,778,143,865,855,967,834,593,590,317,419,231,929,725,109,698,362,890,843,
072,605,569,205,432,308,083,992,768,077,353,060,502,682,782,302,815,003,045,
535,652,126,862,910,873,149,943,949,687,790,939,150,616,749,427,048,665,406,
230,649,796,774,736,150,826,199,456,309,342,280,670,618,720,101,114,282,262,
307,439,113,730,932,056,462,014,469,460,440,795,565,021,119,269,851,419,401,
254,063,506,489,523,720,626,875,997,706,150,152,046,707,847,546,921,257,089,
701,547,533,494,923,092,667,255,002,468,949,668,548,948,276,748,962,749,960,
318,315,183,467,855,179,774,438,307,380,430,364,251,805,894,824,519,147,100,
230,214,006,992,499,313,281,699,919,186,081,915,916,334,864,526,265,136,885,
525,073,441,180,979,244,008,961,224,629,263,516,630,009,931,443,228,652,078,
219,700,209,126,678,560,949,346,258,801,779,333,281,062,677,639,942,250,110,
133,876,067,998,269,868,908,033,652,315,705,480,371,576,685,089,119,593,304,
538,132,719,149,551,938,593,326,808,618,088,324,379,893,707,501,203,346,973,
131,253,454,703,412,252,415,263,964,668,756,152,827,963,491,483,498,281,529,
742,048,036,417,333,519,940,950,079,537,842,718,924,637,370,971,104,262,604,
896,067,205,415,568,788,439,919,492,200,385,430,340,749,955,895,162,244,487,
459,132,762,600,091,433,529,501,453,714,839,224,939,074,597,432,433,033,814,
968,037,605,929,197,689,520,846,002,468,514,369,142,426,665,060,005,597,701,
656,154,729,045,701,966,221,855,023,136,068,100,164,644,138,283,573,414,781,
922,404,801,883,948,996,462,783,392,415,227,126,434,294,737,562,947,172,201,
255,840,581,881,802,930,199,168,119,547,145,853,561,511,953,430,112,059,633,
068,560,479,755,370,679,820,135,886,113,631,077,204,134,154,346,919,072,686,
275,087,738,223,503,691,004,404,656,538,886,672,275,007,208,072,730,869,271,
884,129,938,053,466,802,156,039,545,110,120,752,101,952,136,876,626,515,271,
044,076,989,052,007,675,188,104,945,446,951,855,433,620,827,700,993,294,149,
970,388,408,622,012,257,995,216,873,018,389,674,594,189,659,959,774,502,962,
167,628,822,251,956,849,665,283,818,789,036,234,217,229,855,550,185,674,015,
546,603,812,283,956,621,219,024,633,512,701,649,011,387,713,559,483,491,291,
533,014,839,127,121,878,685,124,181,932,579,884,303,844,788,555,293,927,904,
809,617,480,541,260,691,641,204,518,310,259,693,969,785,615,096,358,478,963,
053,911,913,957,324,367,470,528,155,084,753,850,712,907,388,455,662,929,634,
899,365,727,373,632,249,425,702,969,829,472,332,715,963,105,815,142,923,472,
125,308,405,290,189,549,532,124,631,531,884,456,236,783,124,802,073,522,945,
025,404,660,197,085,304,226,479,615,307,182,273,604,705,197,840,126,908,136,
774,413,624,710,296,256,426,879,867,470,094,909,060,347,356,265,045,433,688,
632,694,820,887,383,733,783,540,233,367,630,455,848,388,571,497,674,498,588,
144,756,035,327,908,525,198,159,048,720,757,057,322,220,864,889,350,462,694,
274,082,674,332,838,026,594,015,667,515,128,363,721,512,073,579,916,204,974,
244,843,751,605,123,187,253,340,858,266,790,892,499,814,363,373,807,302,180,
135,470,377,698,083,313,599,533,347,072,466,469,011,991,967,840,636,252,417,
940,716,402,098,141,778,242,668,757,718,620,823,759,358,322,707,074,350,212,
549,404,721,914,378,886,572,305,381,294,722,823,681,168,434,971,902,477,820,
428,270,978,311,412,923,370,984,553,161,255,831,971,168,059,309,837,784,579,
038,122,220,530,308,734,448,959,121,523,801,208,188,436,389,924,842,038,335,
182,288,147,632,572,091,591,946,002,304,795,980,000,233,787,424,582,748,895,
258,415,508,401,325,003,503,786,042,579,129,555,984,661,415,363,795,783,629,
554,576,520,368,530,873,027,022,986,987,735,259,815,675,387,913,879,351,188,
186,885,281,630,816,007,617,092,144,185,079,040,648,494,112,337,709,848,756,
689,213,694,337,042,209,879,723,732,031,462,897,091,126,897,551,843,338,263,
676,953,723,905,357,382,222,511,578,300,699,210,398,937,416,783,604,470,525,
132,247,956,464,043,074,084,387,059,442,759,652,676,900,325,572,683,207,885,
368,887,572,649,731,476,492,614,747,379,933,745,634,534,800,487,823,571,164,
570,638,925,322,864,450,148,553,025,387,941,465,226,242,180,737,344,436,448,
480,170,852,864,589,138,854,379,796,698,236,433,278,452,019,338,375,260,957,
114,101,731,199,921,112,822,459,443,152,567,358,361,061,572,641,226,619,490,
373,363,210,359,850,239,608,259,359,820,251,031,014,557,127,699,630,359,768,
967,374,688,459,635,072,243,435,605,627,994,468,761,972,735,395,657,291,578,
459,659,376,188,805,267,318,230,398,261,266,642,528,280,931,729,693,827,483,
393,887,905,825,970,217,690,078,526,602,208,918,522,707,526,305,529,378,487,
590,806,734,651,171,740,131,009,426,318,654,149,532,241,448,170,436,880,000,
673,903,901,888,828,166,430,439,119,036,932,804,129,147,521,597,451,769,052,
915,997,684,451,093,356,637,858,700,994,716,547,031,240,274,792,608,809,612,
364,901,504,571,713,435,710,917,662,975,421,851,616,089,525,051,744,923,029,
984,265,415,684,209,460,125,847,854,586,700,257,265,454,004,061,117,054,011,
685,110,106,886,307,534,915,562,982,656,692,860,855,352,668,691,236,582,399,
787,131,831,421,002,204,925,549,521,543,693,178,747,610,456,263,535,736,745,
774,530,796,847,117,899,182,152,136,847,112,169,902,171,882,001,128,678,452,
013,599,108,889,270,512,616,540,555,134,065,404,363,177,574,484,424,749,051,
046,623,663,779,245,364,769,811,807,461,314,424,759,773,923,449,196,345,867,
600,700,391,060,558,431,866,043,116,365,430,341,371,132,627,173,175,119,892,
940,604,075,674,240,215,734,673,545,031,549,469,473,971,342,099,652,441,326,
385,743,299,930,887,574,816,440,359,579,512,416,306,891,996,854,305,624,830,
337,404,418,750,650,986,414,498,651,188,541,895,490,484,308,444,828,961,486,
973,826,951,697,303,987,834,685,254,594,151,568,753,392,872,086,174,097,455,
099,860,777,107,270,509,176,330,065,359,054,668,751,288,960,027,788,283,116,
548,602,098,871,505,727,821,972,270,133,902,899,477,241,933,264,413,324,113,
273,107,589,738,687,698,579,798,704,469,230,403,228,868,309,096,085,380,505,
540,331,783,946,753,839,633,901,743,551,365,244,269,065,151,643,376,481,480,
906,875,947,587,219,535,797,442,354,615,387,804,449,725,529,838,701,083,351,
626,720,232,952,904,865,176,794,632,538,994,719,231,306,665,213,198,113,489,
057,294,978,383,077,001,916,418,859,594,547,713,148,911,741,261,583,128,432,
355,078,254,639,583,250,022,593,723,614,556,596,544,158,225,462,216,320,787,
270,173,333,991,400,019,977,467,332,643,609,497,049,635,487,938,393,558,593,
410,292,853,727,514,633,064,113,188,025,247,849,921,019,510,111,232,656,684,
333,328,310,809,446,123,743,107,836,773,386,173,158,176,784,687,296,812,796,
764,698,504,461,890,152,921,824,609,065,403,928,149,257,788,895,492,342,905,
783,027,025,433,816,552,518,994,741,417,122,572,212,296,619,719,584,170,949,
584,996,679,516,018,347,115,250,846,908,687,785,618,021,679,599,222,288,722,
262,992,193,120,961,764,731,878,457,643,948,875,403,679,573,673,099,295,694,
040,583,410,183,972,473,413,383,927,858,683,602,215,591,115,305,953,477,280,
467,004,956,847,099,972,854,823,835,960,952,733,402,445,239,942,806,237,633,
084,018,097,000,260,068,213,851,469,876,034,176,173,184,916,868,600,369,674,
762,377,762,150,363,026,406,582,674,993,009,920,266,612,783,357,768,936,064,
320,631,986,668,356,598,755,834,538,115,232,695,569,665,064,982,308,477,185,
475,287,261,215,838,694,087,282,966,444,326,483,295,478,836,419,072,688,966,
956,004,997,447,218,308,369,186,362,767,630,239,667,993,986,262,397,646,206,
288,466,793,228,255,974,605,513,800,122,040,985,353,191,321,013,933,705,019,
460,861,121,572,256,385,823,723,741,343,352,438,814,683,692,088,073,387,175,
538,388,083,703,784,939,651,740,724,142,908,481,156,706,222,579,808,820,569,
676,623,372,530,144,448,702,490,697,818,117,337,902,743,071,210,293,132,094,
731,130,956,476,586,337,515,704,819,096,921,504,251,631,551,446,326,533,686,
788,258,742,925,758,066,800,210,522,677,891,275,947,376,106,255,985,242,856,
074,368,658,504,572,341,777,968,410,958,760,400,980,533,209,164,965,050,578,
722,708,868,478,063,344,510,708,691,023,966,689,591,704,656,794,413,935,451,
166,241,429,787,663,695,724,699,002,972,802,910,304,158,684,457,179,327,602,
287,521,191,676,453,512,849,075,327,101,376,884,514,001,586,692,924,016,116,
045,399,960,686,895,534,881,565,712,071,115,375,625,707,127,687,473,844,589,
959,902,437,888,458,702,529,480,268,823,378,245,998,195,255,464,361,496,990,
300,370,333,002,979,187,567,285,770,483,000,410,103,348,765,003,205,763,086,
334,035,588,412,214,805,263,821,806,513,832,206,379,743,173,878,712,746,241,
879,690,815,187,122,249,071,195,568,588,729,208,025,987,385,702,180,196,465,
893,778,351,456,634,156,183,802,483,856,750,127,526,875,714,912,563,441,126,
549,838,504,793,033,599,662,127,941,935,953,324,415,889,713,684,196,402,772,
019,276,450,618,445,188,026,994,817,938,478,238,429,599,341,494,739,291,541,
403,397,682,262,623,216,876,102,036,852,227,897,129,712,698,710,570,685,400,
030,627,942,572,988,328,983,790,110,278,591,963,207,981,528,822,335,942,448,
572,854,622,074,782,744,436,344,617,707,627,444,741,321,384,921,292,561,176,
963,019,855,111,807,045,238,988,891,710,179,766,267,625,716,155,512,758,524,
752,987,362,933,367,170,105,827,081,277,433,969,519,137,899,839,678,099,568,
710,624,129,485,815,329,276,201,476,423,304,896,342,074,312,759,134,981,843,
206,420,356,450,110,653,003,393,494,495,289,456,150,824,188,963,103,530,892,
503,917,273,624,108,480,546,292,011,182,755,061,463,882,935,482,947,607,965,
501,812,895,457,294,859,181,677,439,472,695,633,540,224,510,765,606,458,376,
962,971,801,451,015,483,584,655,315,417,311,273,667,665,861,564,357,595,077,
810,540,678,116,807,987,898,000,640,591,055,138,505,388,895,524,692,527,118,
775,264,101,799,423,065,337,586,806,846,538,008,132,700,822,011,805,799,335,
096,243,945,373,375,451,987,091,693,598,991,576,029,030,990,348,597,336,882,
200,171,134,869,105,433,154,249,087,717,484,051,680,178,896,602,825,401,820,
642,349,318,279,569,079,222,616,554,277,544,610,039,131,764,134,462,088,236,
865,197,484,716,666,896,791,448,522,889,320,892,039,945,559,624,652,030,239,
282,018,273,755,508,146,874,960,853,595,444,114,221,303,230,955,536,694,947,
473,168,355,294,110,298,459,605,856,594,944,100,205,586,820,455,548,563,432,
033,402,077,750,837,196,276,857,457,126,311,395,414,349,814,799,552,932,160,
362,328,578,636,866,330,557,058,414,833,178,259,019,205,285,450,623,660,764,
100,169,875,066,953,323,635,134,580,197,772,535,410,691,965,390,534,077,270,
065,292,064,604,470,457,176,671,352,621,234,672,379,706,637,023,199,144,012,
297,086,146,204,935,145,150,923,638,789,745,755,412,949,708,723,981,608,709,
965,074,051,556,582,265,647,506,211,046,489,463,092,087,307,845,145,860,774,
066,447,197,417,795,462,305,337,554,956,758,633,324,992,485,931,132,144,797,
956,353,045,868,898,882,709,956,367,595,881,260,874,897,972,881,765,225,959,
748,957,944,335,207,893,215,764,619,780,120,092,979,023,857,022,654,317,939,
633,657,231,624,408,152,065,539,285,504,510,566,651,975,964,927,276,002,545,
166,813,319,782,218,156,479,640,458,112,673,929,645,890,008,125,123,965,531,
867,789,206,141,497,646,920,164,680,035,782,653,663,201,930,633,475,174,434,
220,211,286,860,521,988,214,796,977,021,002,684,756,269,529,427,165,711,546,
191,852,775,640,937,074,518,516,317,885,157,414,534,644,976,523,846,387,218,
283,292,579,843,607,982,430,885,912,145,812,976,576,972,266,200,496,893,895,
634,598,662,156,062,883,877,777,525,676,083,048,931,735,729,051,427,980,616,
558,838,264,805,096,279,691,079,034,738,828,721,130,390,413,053,562,980,920,
606,367,244,693,139,836,582,653,594,193,875,659,484,738,987,824,416,298,949,
445,769,292,703,313,303,612,453,553,315,905,726,895,770,162,188,247,958,259,
358,897,976,353,287,091,806,407,167,189,805,514,949,927,850,084,961,726,929,
275,511,787,815,393,718,321,677,044,188,118,330,893,000,039,666,844,682,500,
744,018,762,458,317,475,471,270,891,313,327,674,990,809,684,631,432,972,026,
373,945,346,544,773,016,180,558,035,095,005,141,333,700,905,822,431,986,030,
456,350,454,756,830,268,819,657,807,253,533,107,783,229,460,235,954,081,026,
605,662,002,447,692,473,584,254,503,016,318,836,547,281,223,348,465,520,732,
437,526,739,550,175,357,723,934,407,883,000,284,795,125,304,064,003,635,814,
512,405,217,241,949,783,591,923,077,394,393,385,931,055,971,720,903,417,113,
358,633,970,765,486,089,963,224,202,576,940,557,946,756,914,378,786,400,946,
214,302,852,511,396,383,289,856,970,020,625,938,377,839,007,719,770,587,824,
838,381,792,322,835,734,274,846,876,928,892,149,174,653,732,851,778,651,918,
439,334,308,934,411,780,780,307,801,029,614,970,410,083,579,405,771,931,138,
901,693,731,528,514,588,556,238,563,055,296,599,861,893,837,029,269,565,412,
496,590,892,717,433,486,318,532,361,430,489,467,416,056,329,818,985,563,105,
959,930,294,340,345,571,540,473,216,103,428,362,593,322,374,718,287,077,578,
838,474,533,437,745,489,835,616,424,772,121,882,689,484,998,560,283,297,315,
676,394,516,069,182,553,553,590,662,013,149,349,673,513,395,386,495,389,571,
366,288,385,866,182,158,206,235,422,592,806,043,976,989,855,287,786,352,754,
018,098,246,041,634,342,196,436,675,508,440,450,125,623,262,215,952,926,989,
386,950,395,837,327,514,401,583,084,581,244,641,961,103,408,809,150,770,724,
693,002,885,006,264,721,255,931,324,252,188,050,583,164,231,327,495,930,003,
601,494,174,773,084,775,141,684,687,149,044,370,552,850,036,457,219,382,332,
851,238,803,033,175,642,653,201,627,593,684,868,385,278,033,567,398,831,584,
383,690,319,060,648,491,742,644,956,164,985,934,375,374,698,928,512,713,317,
988,657,607,537,175,573,338,787,548,025,423,523,081,103,145,764,596,374,518,
787,011,197,946,289,562,301,876,066,424,297,255,806,048,878,122,536,505,431,
547,031,810,423,521,622,559,936,277,335,959,398,351,793,884,772,783,846,550,
492,892,221,982,255,347,318,872,886,349,803,855,256,493,164,540,820,676,622,
791,020,388,840,555,167,879,023,449,782,375,955,994,318,178,544,874,361,583,
715,498,523,834,305,564,779,044,275,136,221,808,613,955,649,104,505,706,310,
765,303,899,597,208,821,314,100,801,468,924,123,097,987,991,678,162,301,550,
997,356,638,375,206,233,196,182,533,599,532,922,070,738,644,923,406,756,267,
863,325,956,407,753,211,527,375,321,768,231,157,713,887,828,361,007,387,285,
744,997,776,066,918,560,449,206,430,861,200,049,552,888,011,777,234,697,185,
873,894,531,306,282,332,316,185,737,154,785,921,507,527,292,690,993,527,643,
057,643,514,685,240,824,217,272,021,426,019,327,123,850,187,884,030,796,839,
774,727,055,830,859,149,365,500,203,701,043,832,569,272,071,613,294,437,068,
115,170,933,155,181,838,602,222,820,807,356,338,080,444,248,573,887,871,140,
053,226,917,158,826,195,370,107,557,968,431,889,726,785,116,279,597,951,797,
729,725,052,381,146,131,525,648,446,896,148,232,084,729,261,465,845,334,960,
842,870,407,125,366,988,165,884,188,678,926,505,605,804,082,236,852,289,852,
414,310,713,153,604,116,939,363,270,583,340,450,750,458,293,211,950,212,595,
225,602,277,758,162,437,260,188,165,593,265,234,463,369,567,125,289,504,611,
253,053,245,393,089,454,960,384,357,198,864,165,859,069,702,354,140,682,159,
295,475,460,604,076,591,102,394,097,133,971,469,568,891,751,204,620,308,732,
836,839,188,179,240,433,241,226,875,367,635,133,763,733,971,669,342,945,881,
647,739,026,758,127,916,574,359,597,951,602,728,621,355,499,148,414,104,233,
353,617,884,176,269,262,186,033,599,396,429,238,446,719,812,936,146,313,657,
744,321,452,850,396,490,396,852,753,405,556,313,093,696,248,355,882,200,439,
422,626,689,530,830,569,257,577,887,177,177,143,196,910,092,635,994,192,692,
073,089,126,942,441,358,595,378,008,738,454,274,825,750,443,574,750,180,594,
422,511,469,433,905,130,847,666,937,602,114,606,530,968,635,377,009,150,715,
779,949,345,626,257,862,825,799,737,848,655,380,657,186,094,324,107,730,386,
333,708,509,999,174,727,339,160,608,807,960,512,016,913,636,821,016,356,342,
312,823,799,992,104,640,074,814,881,108,600,571,239,810,864,188,614,004,334,
497,196,817,084,025,340,222,387,049,354,349,356,294,619,054,711,609,096,027,
570,188,510,698,884,422,877,205,104,318,200,023,264,234,473,215,047,795,294,
918,345,144,289,195,541,877,836,919,765,026,202,970,031,591,344,642,861,917,
189,272,693,311,106,475,716,100,003,364,960,770,977,406,762,399,683,918,057,
574,434,215,936,956,348,708,681,139,450,282,169,769,658,260,920,966,044,563,
752,501,740,999,105,939,060,606,778,784,847,728,699,090,845,455,175,249,341,
653,660,754,872,481,638,634,866,548,400,771,456,536,044,284,602,139,580,329,
728,041,102,387,455,167,437,986,468,922,529,795,555,031,507,679,599,092,936,
877,285,906,266,640,442,707,969,281,991,180,707,914,674,544,462,818,387,668,
318,193,421,784,373,940,934,717,000,569,037,244,002,876,455,786,185,870,340,
170,322,706,914,883,378,325,609,096,302,537,051,027,232,137,468,726,261,800,
045,351,590,126,445,437,256,729,784,877,129,430,819,710,027,300,929,586,399,
684,177,496,392,293,971,457,165,444,625,810,673,438,665,282,187,993,598,168,
609,887,329,653,100,937,381,064,837,943,896,349,921,679,346,982,351,667,114,
893,623,066,353,744,711,352,381,038,690,231,329,215,318,692,723,085,038,416,
027,664,035,078,640,302,892,984,596,100,986,520,163,532,945,158,579,859,675,
839,665,925,297,051,657,634,569,434,010,121,718,411,047,931,591,897,439,203,
296,495,259,194,472,712,909,931,866,017,820,974,983,280,363,315,041,895,045,
350,385,979,673,837,292,998,486,931,116,979,513,574,403,242,129,593,396,576,
822,849,644,850,515,494,951,890,787,480,968,165,406,811,923,114,558,017,215,
693,469,954,640,785,757,783,960,290,417,655,583,355,173,933,799,029,143,211,
867,941,401,466,229,226,391,810,640,982,799,883,744,898,475,743,661,323,583,
206,361,924,005,912,822,407,542,376,816,996,857,108,202,760,323,649,158,454,
439,360,754,523,006,013,737,373,221,123,096,731,245,725,963,346,324,513,996,
970,094,857,029,714,720,938,634,071,830,037,041,351,627,605,457,128,739,683,
366,790,308,091,980,280,634,695,375,457,546,539,868,937,226,368,030,511,444,
735,935,839,551,477,174,227,981,951,420,452,898,684,156,614,440,705,433,105,
119,104,631,208,250,571,366,450,361,872,934,931,145,113,226,438,236,421,943,
622,934,365,505,783,361,459,873,779,538,187,904,622,771,301,173,812,486,480,
926,624,683,677,138,261,539,326,968,176,537,021,599,555,656,349,014,966,979,
873,868,618,518,369,520,611,990,544,489,999,487,416,248,247,971,484,781,318,
589,773,634,439,646,658,844,170,706,200,035,649,054,583,360,345,494,861,841,
878,416,994,869,926,054,949,147,261,120,019,609,632,420,566,790,049,468,368,
533,546,204,824,554,923,612,988,939,793,941,241,304,636,651,501,740,179,413,
830,917,572,368,442,337,182,543,910,698,149,741,177,783,490,995,132,753,628,
702,276,377,565,813,385,560,033,336,920,394,696,483,759,190,455,186,847,787,
327,871,029,201,515,579,342,438,931,840,375,470,475,662,106,385,150,336,531,
090,038,749,612,240,926,437,313,844,011,887,712,743,904,609,066,627,126,463,
216,622,151,795,397,901,109,928,847,754,280,232,729,541,975,868,255,497,780,
613,859,783,030,144,468,016,215,930,227,379,731,939,122,598,161,162,392,426,
330,262,625,766,318,673,377,152,353,556,164,159,157,953,239,812,006,597,899,
790,439,616,692,724,160,419,515,998,686,801,634,457,585,137,284,748,427,556,
415,976,366,219,047,534,852,416,120,328,961,014,205,632,123,328,825,255,813,
903,227,981,025,510,455,365,804,958,736,387,831,745,428,117,392,487,743,292,
853,453,614,712,700,683,721,161,429,239,074,343,047,412,356,646,114,396,268,
415,569,628,874,872,599,017,151,784,448,978,618,435,941,919,197,181,540,933,
839,061,541,954,812,982,183,282,521,958,617,857,626,223,522,983,804,309,346,
438,299,358,926,346,319,478,053,996,291,983,520,021,732,809,598,569,479,874,
560,158,200,113,941,134,190,456,250,771,345,034,833,198,351,670,213,054,341,
218,992,548,744,809,285,895,945,958,293,439,703,002,852,272,891,293,457,756,
245,682,960,339,370,465,104,148,366,782,989,145,339,120,706,579,230,247,063,
735,812,332,606,323,656,026,830,832,350,264,674,616,912,085,786,533,126,121,
027,675,884,708,519,794,200,986,627,586,407,967,799,812,194,013,795,164,113,
576,782,576,040,350,701,922,396,177,085,402,860,739,860,363,362,948,743,921,
767,706,434,954,765,966,238,951,573,621,895,267,900,044,461,944,669,877,860,
207,713,103,029,796,899,896,517,353,456,114,492,782,302,473,512,904,893,532,
235,608,066,171,790,648,932,389,786,708,920,647,847,493,792,568,101,137,948,
376,113,459,333,447,483,619,819,615,461,054,503,640,913,851,750,712,157,778,
195,921,694,263,264,948,961,102,243,810,265,914,241,914,306,849,539,611,496,
340,572,578,913,674,065,691,176,716,342,682,428,257,717,472,996,870,659,902,
042,053,422,815,452,639,047,858,984,413,019,057,524,700,864,728,953,652,758,
096,876,419,876,402,660,291,054,386,641,455,830,690,616,611,943,202,587,429,
110,164,026,706,342,614,502,347,948,063,097,499,810,199,830,128,460,293,284,
330,195,855,565,664,129,526,694,535,361,823,251,477,547,710,712,330,185,909,
588,992,604,467,042,477,944,693,118,248,485,490,427,800,281,296,417,277,198,
440,284,619,027,901,469,693,377,920,611,277,518,221,737,104,210,107,708,897,
839,167,722,391,467,378,632,839,202,698,698,401,029,510,303,105,107,970,133,
925,173,205,516,119,006,683,889,181,717,938,588,454,795,010,975,752,897,561,
908,072,123,873,785,961,417,548,526,648,953,986,807,345,270,872,505,496,041,
291,730,982,534,180,622,546,325,107,086,042,787,981,323,719,414,861,741,394,
585,812,911,603,189,282,069,099,092,098,011,115,631,102,785,986,010,437,841,
649,912,492,328,372,014,054,966,663,591,595,553,501,984,991,853,740,065,487,
592,980,504,449,978,185,012,681,684,520,911,794,346,478,393,632,956,349,772,
569,276,822,924,566,008,609,278,365,037,058,361,304,407,207,459,650,993,198,
506,920,326,363,552,122,653,077,564,494,486,931,972,412,236,813,583,365,897,
832,921,753,705,706,991,183,476,429,578,391,234,743,999,183,369,057,985,390,
712,759,395,664,281,128,000,776,352,633,795,624,703,089,253,787,187,507,238,
091,339,415,056,482,380,915,219,554,112,102,332,421,920,228,881,096,699,926,
057,716,487,915,063,607,448,595,377,856,738,666,576,593,109,887,306,692,389,
970,102,456,802,437,873,533,983,685,636,684,309,985,735,438,014,663,990,089,
277,155,832,801,770,417,403,353,322,377,218,408,405,390,302,826,412,638,271,
193,809,689,995,954,734,110,159,110,310,974,881,579,715,871,713,477,882,816,
315,068,953,125,980,538,655,231,546,999,947,953,038,349,700,107,825,571,067,
055,400,952,493,985,131,649,698,626,059,425,285,050,099,410,555,769,507,233,
416,054,891,741,643,683,663,994,978,576,722,883,043,396,861,761,368,343,759,
440,599,336,421,662,187,946,837,668,382,010,120,002,167,779,593,537,868,574,
992,213,761,193,509,528,440,886,248,120,085,738,123,115,418,515,558,778,998,
997,736,784,495,999,262,428,610,804,273,670,712,814,286,482,431,320,125,099,
408,409,259,759,216,149,564,008,585,057,926,931,909,375,312,713,820,933,729,
370,137,147,933,780,957,223,287,380,008,649,241,668,913,486,766,700,602,273,
236,484,360,861,143,433,410,458,579,276,825,798,517,654,919,542,881,043,808,
571,176,896,897,306,349,063,828,381,158,372,174,567,530,633,292,418,140,157,
664,733,373,316,540,870,049,948,981,084,017,875,964,684,433,136,034,927,243,
017,728,398,264,970,057,744,514,635,522,079,426,357,732,259,272,897,443,420,
424,917,135,319,621,399,874,617,815,611,743,225,948,616,730,061,326,012,015,
797,992,606,509,683,010,450,264,203,460,681,602,717,541,394,326,451,507,294,
755,002,766,533,650,326,526,982,940,441,030,362,975,242,807,282,595,568,802,
187,455,048,977,659,741,694,314,548,843,538,552,666,310,631,764,758,387,399,
545,641,247,380,879,314,281,947,134,747,099,635,638,346,038,821,358,573,147,
537,629,309,579,906,156,610,844,809,564,836,505,758,285,777,755,085,870,945,
576,935,843,753,949,214,877,074,548,144,048,790,551,369,018,951,778,235,966,
242,295,574,093,111,110,527,533,869,796,374,516,168,669,009,497,779,401,252,
641,545,984,235,449,703,321,824,970,914,582,789,395,281,557,762,858,037,216,
267,779,797,395,824,107,040,678,502,124,260,099,053,233,178,996,537,650,119,
927,164,661,311,548,773,849,834,131,311,736,357,315,336,147,651,788,308,750,
051,937,206,616,971,093,502,321,653,618,561,233,151,071,252,319,900,039,614,
036,904,159,489,167,984,940,596,046,702,038,657,986,780,982,268,657,316,422,
139,042,546,151,320,436,695,134,042,142,073,196,561,761,059,747,584,512,168,
016,726,450,192,055,810,626,412,576,919,348,846,622,135,932,812,770,365,249,
611,938,267,347,163,043,242,442,691,814,325,068,557,207,466,695,682,527,475,
674,322,810,402,276,932,716,818,729,830,468,246,275,942,966,841,489,463,280,
236,885,114,236,109,884,200,797,073,148,266,378,328,494,661,813,180,054,974,
650,962,853,480,003,866,473,284,472,192,429,545,946,472,321,566,875,356,333,
614,977,540,967,879,338,250,002,542,789,105,863,058,542,143,692,338,836,973,
099,920,910,738,200,521,273,506,448,443,412,526,437,327,363,977,504,567,774,
954,479,335,388,949,189,529,545,477,772,513,476,480,513,629,208,596,085,188,
615,698,912,925,496,572,435,102,915,038,223,341,787,890,625,097,660,039,365,
315,959,530,962,832,828,743,383,687,254,738,437,436,339,592,005,798,792,513,
205,813,856,865,872,981,177,013,765,876,086,789,589,261,739,203,034,867,684,
349,703,591,194,049,029,491,085,629,630,310,499,063,593,098,909,486,450,954,
094,903,476,106,589,819,783,657,759,902,942,824,649,470,378,357,102,119,947,
156,554,303,565,511,223,690,398,825,323,863,128,845,040,743,522,437,763,296,
017,310,840,655,035,295,072,184,546,678,139,877,609,949,402,432,282,055,685,
460,494,127,067,617,256,033,157,647,735,337,204,659,110,739,208,855,503,741,
254,172,589,242,078,892,087,399,932,795,748,274,734,640,388,287,165,685,831,
342,704,838,554,769,505,068,953,961,925,044,924,641,830,410,866,880,563,145,
365,409,817,798,953,786,805,182,710,392,659,505,654,435,867,725,502,611,340,
919,966,901,622,837,338,716,671,896,431,605,424,554,808,426,860,381,081,957,
678,144,851,831,192,518,026,067,824,478,934,653,115,509,444,931,052,176,715,
016,375,807,122,851,146,513,057,974,030,763,044,051,554,388,635,617,368,143,
411,836,064,771,958,081,058,354,030,065,614,141,156,015,199,381,457,693,468,
464,780,124,591,278,394,339,334,931,226,413,632,735,830,165,775,107,850,032,
673,656,031,488,603,823,017,676,275,823,143,272,971,139,496,857,044,974,812,
388,898,783,006,283,379,601,613,762,115,395,863,309,700,237,700,312,006,638,
402,501,593,002,537,183,309,246,763,468,513,857,729,936,676,810,570,674,624,
820,522,655,456,660,026,210,035,096,308,514,261,151,721,281,562,305,452,834,
738,552,237,661,969,696,734,662,822,459,074,710,300,248,766,528,311,454,757,
981,786,756,325,061,264,917,122,994,271,280,221,263,819,348,369,952,932,614,
277,356,820,430,787,089,170,795,090,402,034,522,906,777,607,119,573,192,358,
959,667,799,664,543,368,516,771,865,606,047,875,977,244,945,244,235,330,141,
804,479,126,142,025,526,702,538,363,691,570,549,553,177,051,232,415,925,345,
616,748,068,004,946,467,226,074,378,646,295,572,463,827,155,489,644,951,527,
620,609,598,865,126,112,371,999,535,219,102,437,698,218,537,694,597,343,636,
229,307,441,323,615,401,975,255,475,785,813,738,381,070,076,396,539,472,172,
419,028,156,004,319,454,853,550,822,173,201,519,657,030,013,516,403,548,511,
417,567,175,556,101,037,776,106,634,900,026,765,677,019,573,908,400,747,706,
353,217,540,191,701,589,911,872,689,943,405,748,782,701,652,970,935,406,567,
274,751,118,538,975,182,539,554,147,819,301,040,412,419,068,132,855,268,008,
477,853,517,735,835,860,002,221,107,781,677,438,327,860,347,141,095,672,884,
245,333,673,333,518,221,915,997,078,424,942,153,798,646,764,010,739,161,512,
880,086,359,400,973,821,393,334,878,218,966,036,287,070,662,048,047,957,390,
269,058,865,478,728,651,402,764,077,552,701,147,468,579,823,729,038,927,206,
140,668,556,450,721,847,986,047,331,162,400,650,420,398,712,066,109,263,382,
699,846,690,352,062,442,963,156,175,117,374,883,730,383,566,278,522,783,945,
048,164,224,036,276,620,800,385,476,736,096,305,671,448,496,643,549,036,045,
402,128,792,036,225,297,226,796,545,808,017,179,852,770,582,641,364,036,937,
292,065,473,188,007,582,206,317,191,129,355,118,191,389,275,126,526,739,935,
049,640,769,941,082,050,936,305,137,161,624,526,945,499,124,216,511,300,970,
457,265,787,042,716,423,793,708,819,902,341,514,154,582,999,956,610,498,637,
867,845,951,673,354,080,537,444,766,995,405,029,598,411,281,430,404,788,828,
782,371,609,486,618,559,045,754,531,091,745,527,323,300,213,690,611,127,856,
062,473,813,048,856,493,167,433,625,969,792,567,961,780,882,669,791,368,470,
095,746,634,076,885,871,007,819,272,498,201,668,929,072,264,319,425,602,375,
751,309,283,128,693,726,730,043,795,076,337,437,396,046,993,801,555,706,602,
867,095,337,433,162,593,035,825,017,518,676,006,023,297,830,120,680,340,036,
918,164,797,779,998,107,899,395,199,401,897,727,463,334,619,330,621,398,697,
379,138,225,018,863,930,622,061,180,718,062,511,902,933,602,415,467,117,770,
300,865,599,715,228,858,363,786,504,323,072,384,831,046,510,519,676,053,785,
155,219,077,399,959,178,512,958,125,376,053,220,962,605,023,259,920,869,404,
671,318,727,473,781,397,835,275,138,622,624,727,554,785,437,458,174,808,609,
637,631,983,721,456,121,449,098,644,108,275,856,347,379,479,495,992,294,099,
030,048,404,834,753,627,402,266,365,183,851,435,801,514,004,894,146,107,323,
591,635,108,916,350,410,915,428,311,047,845,227,754,664,440,677,195,875,945,
770,964,275,095,202,102,748,931,205,687,103,206,927,829,663,415,274,294,139,
105,852,970,978,227,836,375,596,378,786,218,345,949,225,084,397,758,180,133,
977,862,720,255,487,563,576,363,006,524,212,699,443,176,971,598,090,391,186,
376,343,764,027,934,757,309,273,316,610,960,589,535,919,263,366,087,501,971,
298,037,453,829,153,558,929,167,078,857,268,767,664,972,791,661,586,071,725,
481,281,449,646,620,154,917,736,212,749,380,198,859,065,918,528,665,440,005,
882,873,793,483,344,989,483,980,221,362,834,442,467,783,573,994,339,185,118,
719,292,013,557,175,858,007,555,513,074,766,096,874,405,333,048,120,140,349,
845,947,429,307,075,732,310,902,048,829,197,220,406,193,650,703,570,387,631,
812,824,081,667,284,181,781,127,266,711,676,311,273,317,989,530,881,248,834,
103,180,875,172,128,811,106,817,254,025,192,224,390,019,314,090,975,490,254,
395,928,255,767,959,940,853,389,034,906,714,289,741,176,341,084,095,276,188,
888,863,373,754,947,959,384,038,646,769,801,021,878,279,306,339,093,772,898,
730,956,655,704,878,757,319,527,081,051,716,835,966,788,540,738,404,689,659,
887,226,236,706,330,435,884,957,081,046,489,523,520,543,084,928,185,380,687,
638,675,352,880,599,875,995,835,345,404,780,493,183,617,408,484,003,358,343,
444,885,271,947,006,028,556,668,439,819,735,455,822,813,950,448,875,785,923,
726,714,873,733,540,752,129,562,082,435,764,207,692,056,749,708,358,559,919,
214,982,929,040,469,300,991,634,555,526,402,692,216,404,259,315,172,619,940,
141,523,457,371,465,704,985,329,188,337,004,277,817,513,632,940,604,713,550,
009,952,441,096,257,685,499,314,691,634,167,855,259,329,014,817,338,059,716,
692,703,431,813,713,197,574,827,428,930,146,852,715,701,749,630,311,296,041,
039,404,615,574,540,125,795,764,979,767,758,545,752,055,817,528,099,614,716,
560,389,019,667,441,813,650,864,890,957,876,927,376,035,626,946,648,469,454,
264,230,748,504,231,842,390,805,774,150,565,644,398,223,202,142,887,128,299,
062,481,361,723,208,645,291,086,975,165,531,831,401,581,184,670,966,728,949,
285,110,086,758,998,936,250,530,048,622,020,686,583,683,316,591,468,176,636,
429,148,508,819,582,152,790,718,322,790,059,581,329,679,740,019,231,843,919,
910,219,337,914,198,475,642,406,761,190,358,546,149,265,573,143,376,116,117,
301,183,084,383,131,965,011,160,007,592,006,068,162,769,474,179,586,006,027,
870,162,261,754,701,231,471,798,062,873,568,871,624,348,026,395,320,979,961,
435,424,270,990,617,724,739,795,070,132,772,678,673,240,732,747,470,321,652,
354,745,721,841,741,232,560,067,167,418,111,655,665,101,210,436,586,378,038,
845,074,062,783,488,511,004,930,677,177,843,226,442,164,754,633,360,438,715,
323,059,957,239,884,727,674,741,582,236,262,821,428,234,610,769,475,177,556,
119,386,670,193,853,476,428,180,291,214,303,374,830,428,259,411,957,017,328,
037,299,189,436,455,276,578,615,197,284,755,719,197,584,891,320,394,171,108,
702,195,154,642,328,410,689,244,647,898,187,938,641,082,603,292,282,017,647,
725,316,761,002,379,592,102,975,980,139,322,232,048,699,916,910,180,847,212,
664,642,345,370,913,069,832,122,091,821,550,852,574,845,269,212,645,911,452,
371,512,838,659,144,521,926,320,277,080,069,577,744,348,190,163,546,925,168,
318,358,748,377,659,164,012,140,800,476,255,605,875,307,198,979,301,025,552,
091,192,533,749,977,242,077,125,207,405,511,542,252,884,271,583,688,555,359,
826,590,316,963,373,980,379,668,005,237,447,592,640,439,761,125,224,052,020,
674,353,682,196,187,741,445,624,702,835,791,611,187,729,699,455,550,977,090,
038,273,995,519,173,998,915,564,899,904,364,618,894,519,571,108,156,763,957,
795,706,748,904,007,707,940,599,550,536,040,313,355,408,790,294,190,898,469,
644,461,038,378,664,185,388,196,137,459,189,916,080,062,419,119,465,841,592,
149,925,754,731,218,947,921,986,601,792,053,018,723,143,052,986,863,256,418,
295,924,787,080,846,652,494,445,256,052,321,746,375,668,479,160,283,035,743,
799,721,088,869,431,755,682,841,041,049,303,112,278,756,265,812,782,859,523,
800,285,549,710,487,194,986,906,174,343,686,170,731,619,933,378,102,345,383,
035,268,985,759,069,511,702,297,611,347,409,263,276,265,164,348,281,885,821,
854,114,557,282,868,535,341,836,841,294,231,320,670,129,800,564,867,573,429,
405,276,328,924,799,929,144,594,156,569,588,767,380,442,430,857,267,977,158,
177,607,843,235,176,611,255,047,190,756,337,730,492,703,436,576,053,108,340,
392,913,297,956,129,153,969,408,828,668,380,488,187,921,077,371,454,991,940,
335,693,787,368,921,597,989,296,460,276,767,568,401,022,223,785,963,456,858,
933,625,460,630,264,932,589,022,351,286,066,491,335,622,381,083,466,639,996,
556,913,051,428,657,806,649,870,796,753,259,147,870,284,918,658,168,895,039,
687,282,076,900,382,171,268,121,148,728,580,372,345,254,618,476,840,449,842,
313,034,013,736,598,411,928,023,746,016,751,660,284,217,013,152,717,045,234,
189,073,901,531,108,061,630,542,455,215,046,393,365,452,605,022,513,033,552,
711,542,579,388,079,982,644,718,397,617,760,056,357,584,445,709,276,568,738,
271,171,796,974,678,654,001,085,752,969,164,911,154,516,178,148,135,386,620,
521,013,576,477,311,503,307,047,996,272,836,950,548,012,477,092,536,399,912,
364,824,705,608,132,567,031,395,775,316,716,122,567,925,262,912,828,013,182,
025,415,773,616,647,342,383,988,541,871,274,936,466,432,828,869,503,830,048,
464,817,233,177,000,121,729,557,039,678,472,436,398,261,648,856,027,149,400,
029,512,656,465,149,938,468,473,177,497,533,472,904,711,348,650,207,471,097,
193,896,721,251,261,276,502,698,749,325,403,043,396,194,880,077,701,707,842,
350,562,084,334,230,552,871,706,330,713,124,452,616,891,267,919,907,961,525,
498,632,569,211,753,627,329,941,864,723,192,882,934,631,018,105,602,066,067,
240,090,393,467,801,153,042,916,796,079,010,658,701,839,216,365,431,683,498,
341,325,777,079,987,893,901,247,092,165,856,857,075,143,993,811,773,440,207,
824,771,412,999,930,459,427,486,517,065,013,380,589,453,677,572,425,797,876,
399,732,424,891,127,482,998,062,441,820,937,510,070,176,273,852,328,794,745,
795,131,171,556,548,484,382,834,455,411,138,509,241,808,844,784,944,526,858,
008,433,873,251,426,740,509,413,225,488,351,896,902,994,061,479,022,265,008,
886,778,084,363,906,383,119,892,552,298,487,147,422,694,675,242,441,842,211,
070,722,712,277,680,907,916,869,869,749,337,226,733,252,214,706,373,594,114,
605,526,788,603,683,795,640,841,724,246,742,674,105,180,708,633,982,538,200,
962,808,586,281,017,434,027,118,853,454,931,707,114,673,596,887,198,517,211,
040,121,615,741,692,597,650,960,514,149,195,081,266,788,789,071,126,196,760,
260,029,446,614,432,144,601,653,346,291,339,358,406,113,290,252,710,798,214,
071,472,068,711,276,163,296,605,008,020,647,737,320,155,787,541,809,794,863,
065,041,638,522,890,501,618,439,422,764,217,476,299,299,388,026,937,867,517,
476,431,520,997,283,905,121,325,380,047,242,614,323,639,071,062,920,322,531,
823,446,767,948,833,352,936,512,166,399,580,572,560,837,827,457,481,844,561,
856,124,043,922,023,380,499,473,504,783,701,928,068,058,175,950,726,935,399,
257,230,497,121,623,949,837,945,584,454,941,170,063,887,877,925,967,466,604,
412,924,795,705,145,273,019,920,157,887,015,339,823,401,643,664,062,024,888,
956,399,620,695,748,299,197,052,089,924,488,599,960,576,524,304,714,929,645,
889,039,719,745,342,295,753,848,345,618,256,343,950,671,375,308,153,623,367,
806,892,502,662,600,262,531,304,213,966,798,074,666,024,858,567,901,784,102,
933,725,758,904,941,190,045,179,395,365,683,882,349,550,830,104,974,562,281,
537,966,760,059,135,313,655,802,885,991,341,378,093,378,163,854,565,405,850,
769,879,351,324,574,289,776,613,031,668,630,569,845,622,383,438,146,184,560,
093,053,358,627,366,014,030,381,191,781,727,842,418,214,927,621,223,288,951,
967,958,107,653,113,377,497,083,260,779,821,862,301,371,765,790,400,051,780,
153,298,257,860,017,793,655,602,570,355,152,167,017,304,360,193,670,340,840,
373,111,091,566,115,041,274,177,151,692,241,324,776,159,991,675,680,120,723,
144,317,976,073,746,789,617,244,562,001,656,852,492,954,752,117,360,685,806,
611,864,448,084,775,084,420,133,631,076,244,019,757,456,737,057,170,952,597,
348,959,703,797,420,495,147,852,732,782,394,447,595,202,634,180,893,141,682,
265,424,881,699,553,963,584,105,966,727,296,766,674,215,551,782,906,172,397,
352,783,470,650,868,780,080,184,082,334,658,566,478,126,588,921,539,901,505,
710,126,018,208,477,667,116,615,128,411,450,945,663,577,710,745,729,829,291,
215,368,860,496,589,407,477,787,839,629,348,897,713,255,721,489,961,318,580,
323,624,681,326,551,033,062,002,468,347,655,964,773,538,645,216,567,789,164,
987,531,012,214,851,859,625,094,721,010,857,578,114,831,274,335,464,060,648,
227,799,114,834,978,485,854,093,192,474,277,257,914,190,574,822,539,599,340,
611,652,793,567,320,001,489,389,699,655,983,113,122,674,278,957,949,134,561,
777,410,139,917,465,770,771,880,314,402,116,528,355,441,144,649,331,142,460,
889,782,957,140,264,504,446,709,876,710,956,303,881,975,180,295,242,770,118,
788,951,847,554,724,229,248,810,557,457,153,914,551,102,730,712,668,629,581,
085,401,388,251,871,010,155,716,610,554,909,531,021,115,307,737,080,267,286,
546,848,076,379,122,218,613,596,351,796,922,540,152,056,751,932,304,835,278,
359,855,749,382,844,407,647,809,683,470,507,347,424,732,660,498,701,222,383,
248,656,988,327,846,597,084,390,710,017,684,953,519,169,448,304,848,414,223,
417,351,346,661,203,694,132,318,882,138,258,453,488,023,323,724,164,930,812,
229,134,501,768,938,259,236,932,066,719,162,529,464,492,368,058,704,676,290,
635,673,676,566,095,617,419,966,002,911,069,880,229,652,065,929,487,707,780,
057,158,045,614,499,797,621,184,054,329,321,615,593,723,930,819,654,848,714,
827,374,509,955,539,295,495,404,275,121,037,609,085,127,723,311,091,677,150,
778,714,558,850,960,171,329,705,073,580,392,804,420,307,102,706,798,105,682,
026,847,326,716,784,226,461,393,522,957,892,937,461,916,030,996,660,222,337,
095,015,519,095,843,724,210,939,078,494,250,002,971,733,655,165,568,991,378,
514,269,556,774,877,926,879,655,202,895,567,797,226,596,166,152,482,995,551,
771,178,764,060,303,425,564,321,292,241,210,868,500,796,226,989,572,132,231,
379,132,190,231,344,531,450,712,836,338,095,735,476,709,384,351,780,678,843,
797,480,934,263,151,979,972,498,703,623,461,437,570,684,022,370,014,630,736,
400,630,712,811,354,119,600,922,615,717,264,446,117,018,397,958,861,628,620,
987,675,023,814,649,007,552,862,693,456,154,579,183,557,127,879,645,993,858,
679,706,928,608,214,124,061,048,412,315,629,385,305,655,980,686,392,221,885,
853,167,310,553,113,406,499,536,766,562,465,220,957,059,343,695,689,058,635,
008,405,454,149,425,068,061,233,763,673,764,133,278,173,788,629,993,743,681,
189,489,056,485,270,605,693,005,949,246,355,686,209,203,340,973,427,241,127,
735,317,593,851,526,954,296,701,845,253,754,742,634,255,317,730,760,899,357,
142,963,019,537,499,429,772,663,966,148,662,401,800,553,995,057,131,499,791,
894,605,719,016,629,909,707,292,007,441,054,743,066,759,083,733,091,436,938,
374,713,154,960,768,928,359,134,429,479,908,392,808,820,724,613,779,705,003,
357,893,784,045,303,154,345,120,514,323,154,174,914,791,761,210,551,319,933,
072,161,256,471,808,857,335,838,082,731,430,420,862,849,808,814,391,151,846,
974,025,616,352,662,156,348,269,186,472,392,788,527,504,284,391,707,226,697,
714,514,078,514,967,262,535,596,032,093,658,847,032,685,849,531,067,294,930,
082,807,979,851,108,929,842,991,843,247,842,361,221,836,181,237,207,190,716,
276,196,655,879,302,526,007,700,418,899,709,199,292,017,416,240,965,259,090,
761,714,741,417,489,985,157,948,136,484,859,984,063,415,166,949,336,916,591,
453,397,846,110,898,474,296,003,641,200,104,132,726,160,169,701,180,948,878,
231,159,274,019,115,483,194,445,769,933,150,820,358,021,875,022,774,881,885,
185,361,418,651,637,488,545,408,440,887,364,688,653,830,678,166,421,262,419,
931,418,709,722,820,030,754,404,203,581,894,905,011,486,206,296,610,089,950,
153,789,577,507,783,806,496,124,611,196,306,406,837,110,145,539,736,595,370,
342,987,355,106,760,892,858,350,539,323,947,554,091,258,363,122,322,388,521,
805,157,815,202,877,077,517,977,502,796,211,675,853,351,695,970,641,392,351,
639,239,628,937,435,873,591,614,791,931,704,894,408,811,337,281,392,220,633,
887,902,833,167,301,024,039,225,675,516,484,903,932,448,336,019,938,573,011,
965,933,082,497,541,900,820,183,745,669,257,613,329,461,254,826,324,573,623,
053,135,642,876,506,624,424,157,172,542,630,234,189,697,942,745,231,619,030,
722,269,275,233,091,258,365,469,947,435,734,785,555,595,573,449,196,501,465,
463,700,158,169,376,014,147,511,023,153,633,211,475,761,545,485,458,431,150,
562,392,660,843,422,324,524,758,005,382,619,482,225,490,809,146,521,941,935,
613,013,677,603,340,471,211,090,527,811,776,545,142,578,429,829,469,324,286,
083,942,379,436,380,643,056,111,434,281,701,143,120,688,246,288,788,968,403,
700,802,794,316,646,475,664,885,136,356,634,374,226,494,079,335,685,628,178,
734,160,800,469,767,290,219,017,692,460,822,323,983,667,216,408,943,211,774,
513,500,042,350,373,759,184,411,536,328,008,875,049,441,876,860,004,392,690,
549,041,428,041,217,849,359,432,435,402,758,117,065,535,486,091,388,339,391,
195,656,343,825,041,421,459,490,315,687,109,687,932,170,450,842,276,284,261,
401,489,024,959,611,708,617,225,346,919,091,174,399,296,269,316,172,476,978,
784,784,343,924,313,981,460,746,053,430,139,268,469,971,961,756,861,717,250,
884,601,307,686,281,381,483,077,436,965,967,487,596,722,236,518,753,622,358,
348,214,151,022,137,279,001,038,071,466,048,622,726,570,615,251,633,935,093,
655,611,435,616,271,948,398,151,489,507,713,506,653,523,421,113,813,971,318,
628,762,064,662,167,408,971,983,162,165,760,171,954,202,824,419,700,359,343,
257,122,955,422,601,772,375,494,926,786,119,965,020,615,096,970,069,968,620,
320,844,938,365,690,563,519,893,093,724,162,075,049,825,213,200,674,932,833,
494,850,588,721,251,896,622,676,403,291,885,983,072,949,645,719,180,328,015,
094,666,597,116,906,561,084,134,330,906,184,912,959,030,178,952,288,347,340,
682,441,159,594,644,274,252,257,133,813,832,760,204,368,842,487,307,813,273,
286,419,682,285,481,636,542,264,143,323,056,758,412,747,458,903,367,074,133,
354,318,979,787,112,810,018,876,102,299,283,320,633,302,656,824,609,817,962,
003,542,454,880,241,506,596,490,345,574,427,395,666,144,673,901,287,240,228,
971,340,303,380,651,617,802,104,868,671,838,578,807,448,498,163,471,848,999,
142,573,763,021,827,739,320,412,258,055,218,148,139,636,738,178,710,939,708,
005,281,778,345,216,292,775,005,825,815,257,322,238,962,550,008,263,069,806,
295,285,189,775,714,419,321,323,063,927,625,752,083,533,035,541,827,512,740,
836,879,378,048,039,351,158,032,908,348,161,644,493,440,168,050,628,420,004,
346,159,340,398,012,779,545,966,123,232,711,761,059,387,963,945,644,325,769,
205,069,607,695,105,542,593,513,051,392,225,197,118,594,385,156,013,843,440,
947,544,282,658,617,915,710,365,303,765,081,155,481,951,530,624,585,980,333,
128,770,494,610,020,948,005,997,822,966,114,788,035,125,909,064,686,852,087,
968,575,909,218,167,016,090,976,240,205,556,822,596,992,225,151,950,697,471,
438,705,369,931,519,605,892,811,009,700,103,337,523,251,949,359,898,429,860,
649,402,634,358,063,026,158,151,296,154,950,330,214,477,603,789,347,043,124,
732,475,058,245,301,663,538,624,281,381,778,936,181,714,903,237,230,743,773,
946,373,171,165,025,955,594,675,701,402,232,779,025,874,084,926,284,454,990,
842,850,058,810,897,865,910,981,101,949,652,429,732,626,067,941,504,312,528,
810,553,462,539,477,308,029,442,310,826,652,333,171,235,050,850,511,858,401,
907,260,404,740,133,136,931,578,465,622,429,999,081,360,284,644,901,649,798,
010,528,245,227,536,960,116,796,428,266,812,401,737,056,767,070,193,377,723,
283,757,417,174,744,250,324,535,372,012,714,115,654,927,173,550,192,040,713,
362,432,901,668,428,338,897,801,320,589,029,875,125,988,972,352,493,293,544,
094,663,143,539,765,390,696,664,426,396,418,551,339,488,838,615,586,848,709,
045,604,915,716,528,536,074,735,383,486,172,309,536,050,561,442,147,559,212,
309,786,540,090,781,961,272,108,183,940,609,419,431,565,281,117,585,369,132,
171,638,493,736,310,272,236,749,176,366,408,668,457,553,234,993,928,916,918,
159,816,782,510,119,768,919,106,766,057,881,335,830,932,239,347,829,325,360,
171,504,998,505,775,486,463,854,778,185,806,601,857,660,667,670,375,094,955,
094,802,190,277,315,414,893,994,634,393,045,592,956,739,903,463,870,115,921,
883,737,912,880,018,460,859,770,827,068,190,421,662,291,899,947,891,367,589,
192,400,978,441,822,219,400,517,014,574,786,528,782,398,004,191,409,801,016,
519,932,900,558,523,588,248,323,174,237,493,971,045,206,183,873,569,024,773,
739,434,433,668,452,396,889,345,215,010,283,755,639,451,199,466,044,267,445,
267,420,051,647,813,409,430,913,633,850,272,099,681,584,129,427,327,180,816,
746,312,819,275,842,244,742,959,237,406,413,937,457,267,995,843,252,569,068,
898,322,698,946,539,333,889,448,742,855,261,739,385,259,717,834,953,529,268,
778,361,844,402,472,314,287,654,396,291,365,300,635,116,925,448,203,708,825,
084,282,395,560,771,233,167,678,426,973,877,480,812,492,795,655,085,286,107,
662,808,476,121,564,682,736,290,194,202,716,972,021,083,626,630,455,640,889,
280,351,197,809,877,066,485,538,147,162,024,961,170,269,917,233,032,264,943,
443,827,156,350,201,260,961,907,150,781,631,543,570,047,551,114,228,809,996,
038,562,797,990,769,163,006,986,177,988,574,800,476,551,365,289,877,479,539,
977,160,794,501,629,982,469,699,010,024,741,486,443,590,174,860,152,529,872,
252,905,032,267,885,977,656,644,151,534,837,209,683,018,507,377,556,051,277,
896,017,811,516,203,564,602,332,703,882,016,741,098,440,469,783,196,580,927,
973,399,098,923,107,624,575,731,770,890,423,915,923,285,811,526,633,719,933,
809,821,353,728,069,953,177,260,930,750,889,374,829,357,050,717,476,935,029,
712,755,672,576,099,129,570,340,745,250,619,298,445,282,817,399,855,644,998,
529,160,141,773,934,917,354,285,942,890,135,855,647,355,558,836,144,498,876,
436,726,984,120,970,913,096,316,267,884,083,433,285,608,815,247,672,325,863,
822,911,187,225,890,731,477,757,579,961,210,983,353,760,829,420,012,845,482,
711,807,338,531,102,315,877,689,591,897,147,127,299,307,860,122,290,383,616,
493,479,445,284,699,491,957,232,456,842,946,195,025,240,086,581,337,397,211,
275,439,183,184,315,196,717,512,427,224,892,205,306,791,504,948,267,866,810,
121,166,151,444,745,510,973,393,914,184,004,436,649,863,533,028,717,937,969,
026,443,921,618,717,632,059,091,747,209,390,468,553,025,630,843,401,434,488,
619,253,333,085,738,159,042,631,396,614,204,716,365,122,460,779,097,232,627,
901,667,665,226,608,438,227,766,385,017,811,526,769,427,424,718,685,049,070,
740,424,424,743,830,377,222,664,970,039,831,936,605,486,010,491,911,221,715,
293,343,705,619,663,624,503,963,187,846,644,655,512,376,476,812,736,768,608,
219,168,412,979,530,439,508,740,737,091,128,141,978,751,330,958,469,499,819,
499,303,186,528,701,526,138,379,380,333,986,340,847,470,786,756,856,673,378,
561,995,061,023,677,135,031,074,174,744,577,590,194,548,124,616,988,364,739,
815,843,089,582,593,899,712,763,985,310,648,309,820,653,139,227,003,845,575,
885,417,298,023,429,348,252,603,148,206,207,115,283,108,612,469,946,831,632,
076,780,560,142,065,923,073,652,320,694,910,692,574,303,166,330,208,629,194,
612,437,867,028,241,658,734,292,565,309,501,620,071,872,329,434,326,182,611,
417,635,879,970,068,190,891,819,897,819,644,754,868,494,722,987,307,549,459,
333,455,876,147,032,925,304,112,816,170,620,969,031,727,254,773,047,193,287,
728,934,448,526,818,100,412,249,535,465,095,376,209,929,880,601,276,452,227,
761,920,117,150,200,207,038,242,245,333,151,393,087,477,722,481,252,617,636,
086,609,698,126,538,410,775,808,151,639,687,014,342,236,107,126,531,273,593,
032,914,968,895,779,621,764,981,876,937,016,700,340,386,663,752,735,331,474,
262,761,491,349,787,144,996,156,871,507,086,828,098,611,506,952,758,805,583,
367,333,902,688,465,851,081,020,044,991,257,657,292,422,715,100,760,578,238,
260,584,972,297,883,763,194,407,256,192,560,592,604,285,945,580,876,722,012,
300,723,991,367,766,293,203,750,482,485,851,408,733,086,865,125,256,868,354,
228,640,107,353,956,978,326,146,383,631,104,973,760,431,916,868,224,995,641,
024,382,632,624,738,829,432,498,956,938,012,213,723,016,941,281,009,588,042,
195,864,305,038,996,951,466,327,757,266,527,487,324,149,296,216,123,245,853,
183,396,734,668,368,286,127,859,508,482,468,563,222,209,368,112,995,292,957,
909,296,436,716,120,794,859,330,703,493,948,373,660,264,032,774,028,474,449,
783,017,393,178,058,646,010,594,709,384,279,265,614,546,064,597,267,687,446,
425,677,093,300,893,044,676,011,639,070,804,114,724,130,985,115,117,009,983,
410,467,441,010,876,926,940,628,257,779,826,351,823,855,482,997,091,805,911,
382,997,573,197,240,721,026,664,532,774,606,090,501,728,018,229,650,687,793,
652,183,574,237,784,912,102,182,167,299,050,035,107,119,860,232,356,756,204,
634,754,892,701,085,945,738,222,403,919,363,109,707,410,654,824,711,469,491,
269,158,042,500,452,292,275,366,716,941,572,552,503,375,857,599,332,072,972,
150,439,484,865,065,522,126,381,806,424,315,934,185,493,719,257,970,116,338,
806,609,087,602,130,426,203,740,090,533,479,247,059,416,089,831,164,616,543,
890,132,899,440,963,440,509,484,121,572,078,105,761,695,835,338,244,587,865,
515,638,331,852,531,658,064,773,750,527,730,925,573,682,744,373,500,702,137,
576,858,452,168,676,228,306,649,389,283,652,592,193,615,856,000,520,609,207,
672,745,675,325,986,270,713,344,815,148,998,454,306,330,544,135,603,047,454,
532,766,105,219,695,943,152,823,928,635,359,642,634,350,500,948,960,940,327,
718,981,700,610,450,475,879,000,417,991,779,237,391,617,772,175,516,617,677,
273,895,223,417,172,124,187,042,284,894,091,136,919,221,128,979,702,970,879,
137,847,597,923,978,680,046,095,446,206,789,309,084,416,541,451,429,356,857,
571,018,676,837,243,308,075,811,401,574,882,146,962,913,179,368,858,108,195,
515,272,337,600,936,755,627,487,860,674,506,665,128,942,173,399,818,793,356,
445,223,902,618,408,577,017,688,371,684,616,831,582,925,403,196,787,212,538,
114,498,029,356,048,835,751,206,386,096,900,836,436,163,999,231,251,634,111,
215,575,464,710,892,409,704,954,147,987,526,049,504,993,719,465,634,409,828,
355,937,337,022,571,534,534,745,886,616,817,562,116,582,877,527,438,991,573,
077,649,374,290,772,770,474,963,854,454,305,004,096,586,529,650,636,411,638,
864,040,062,382,696,979,936,157,971,079,477,235,982,497,069,112,532,564,311,
125,749,191,671,153,340,265,506,283,223,334,941,060,084,003,607,320,089,501,
505,356,335,024,721,001,583,958,099,281,177,853,461,225,368,597,955,667,697,
027,253,395,257,669,213,053,696,899,286,801,934,919,623,161,507,886,201,735,
103,127,016,308,817,592,931,727,434,540,868,116,509,268,274,388,819,286,328,
895,707,802,807,515,745,381,222,696,809,308,640,939,474,092,857,074,462,182,
669,446,966,973,870,968,089,125,937,122,346,354,046,138,016,141,165,064,940,
513,451,250,066,704,124,109,554,698,888,166,183,116,374,316,311,846,774,069,
877,737,695,434,135,043,898,927,554,654,940,252,115,553,298,087,369,479,662,
294,119,993,892,616,874,515,279,737,714,006,143,404,103,153,159,514,647,163,
101,696,988,676,556,440,996,848,077,840,615,399,046,426,487,555,770,337,173,
669,796,651,494,382,169,040,974,020,066,107,093,084,423,168,491,594,408,153,
427,216,260,748,785,114,309,332,543,378,619,087,260,013,953,024,183,178,238,
503,710,303,319,199,372,405,874,837,703,430,500,841,453,750,871,207,965,219,
341,992,799,770,415,694,364,521,243,126,100,840,053,266,718,821,174,422,199,
999,987,357,895,241,536,672,696,343,105,013,606,809,761,410,244,862,707,594,
144,502,787,284,000,131,088,656,235,295,405,340,234,438,071,085,386,032,771,
363,281,568,921,616,709,965,163,709,555,120,046,468,660,975,902,411,633,289,
065,063,861,463,530,910,756,621,635,638,530,409,369,772,455,571,719,886,574,
666,346,734,864,916,976,059,492,364,448,549,940,995,388,623,521,581,281,183,
869,611,140,266,866,477,462,626,895,223,480,211,668,827,879,902,264,886,238,
250,391,106,956,630,707,376,414,351,182,079,556,092,980,094,463,763,179,187,
134,790,911,202,481,914,276,365,393,048,381,712,555,744,510,048,363,890,740,
063,849,185,856,654,247,730,226,699,938,290,128,287,397,135,703,977,215,224,
540,753,674,308,859,180,821,321,821,396,423,656,591,405,295,276,787,857,904,
307,315,819,604,054,706,974,324,584,687,553,405,460,630,644,919,386,004,790,
778,884,185,072,316,644,263,902,349,039,462,682,646,269,371,249,926,239,127,
783,437,962,058,073,967,803,045,917,622,046,672,680,138,972,873,936,660,849,
748,806,771,653,359,287,828,748,461,668,294,487,633,194,429,976,712,956,375,
983,624,947,871,651,934,334,643,653,065,580,762,155,581,831,332,059,277,311,
124,047,403,802,607,268,525,645,144,132,051,098,372,188,995,416,735,159,275,
186,776,861,278,085,148,976,586,811,830,832,432,282,861,622,783,933,148,443,
351,393,710,117,096,718,954,031,502,315,451,844,885,271,205,223,810,939,884,
840,796,845,675,324,197,118,629,718,308,492,534,348,419,402,867,581,772,349,
995,687,085,925,009,234,338,122,491,949,913,460,841,145,777,434,922,944,694,
462,801,418,214,213,155,920,519,605,481,030,837,566,665,272,047,010,867,889,
182,643,143,524,503,352,862,015,570,258,233,130,707,805,593,840,679,740,812,
552,217,799,734,537,508,028,918,044,026,624,674,407,923,731,001,329,466,265,
774,617,066,913,272,874,612,481,331,368,354,028,038,086,944,444,675,628,241,
225,039,283,938,171,014,877,813,586,806,788,862,893,286,692,349,791,865,894,
306,847,631,404,247,478,618,008,258,913,370,149,540,256,084,485,614,252,149,
432,592,564,829,927,581,540,558,331,454,317,529,146,494,789,042,954,228,496,
651,148,840,316,075,745,892,770,135,427,194,154,102,702,318,282,030,893,263,
228,369,465,920,309,655,141,955,014,093,502,542,232,293,379,270,655,911,445,
095,049,280,402,771,828,832,171,279,153,096,768,355,763,831,444,001,035,021,
732,707,020,240,216,685,384,491,802,232,155,398,450,981,163,621,995,393,972,
017,620,761,058,204,186,801,298,499,473,975,712,171,722,074,640,563,975,283,
793,961,311,267,623,673,151,725,996,686,385,114,494,419,610,878,330,636,013,
537,537,088,970,090,955,802,929,668,292,172,435,920,363,636,998,627,854,780,
716,913,868,692,311,486,202,263,888,381,316,555,349,561,210,567,016,313,186,
562,910,149,805,572,545,249,821,772,297,442,501,460,528,451,842,516,999,061,
685,743,593,671,534,275,263,216,971,108,471,353,269,801,039,140,604,592,387,
808,130,460,611,905,822,602,732,611,089,558,144,451,840,899,701,639,971,683,
167,328,666,590,175,298,936,476,401,889,206,853,408,856,102,085,983,797,125,
609,393,510,578,792,579,769,457,886,778,252,346,879,220,396,799,486,948,797,
768,874,838,441,730,162,746,107,009,159,967,659,179,839,589,452,219,930,388,
946,493,071,809,442,543,575,540,985,356,275,142,915,224,942,456,249,026,575,
464,964,001,518,298,159,059,781,727,936,036,290,506,001,445,306,911,989,062,
082,827,641,215,020,169,686,296,187,738,611,582,148,162,911,640,737,933,113,
223,058,726,986,402,798,225,225,557,141,186,796,889,623,001,951,612,475,257,
017,166,670,595,323,789,965,502,144,793,749,174,667,678,354,583,894,219,619,
553,380,129,245,350,169,692,569,664,841,576,890,519,539,444,548,483,635,848,
714,938,913,965,124,938,823,872,189,208,802,574,117,000,831,523,421,607,476,
801,924,712,677,777,596,082,345,864,869,249,976,934,085,505,502,686,063,260,
487,601,038,893,623,547,362,487,386,190,930,674,832,312,994,258,908,162,010,
020,907,460,787,927,200,077,327,363,282,997,244,381,040,533,002,970,191,336,
698,080,512,569,737,837,328,445,460,296,196,630,858,019,013,080,712,851,273,
372,655,459,855,580,587,879,690,979,016,708,989,076,460,807,128,883,230,242,
842,323,990,203,157,648,625,751,434,284,290,904,364,290,732,449,871,491,644,
986,631,891,771,299,664,403,085,993,534,876,853,691,392,665,072,390,940,381,
699,686,282,095,215,539,361,191,329,283,592,964,220,642,238,993,455,693,237,
176,433,872,924,644,909,335,411,325,719,004,463,159,134,038,173,110,728,431,
767,813,247,269,685,187,768,199,386,398,470,242,608,260,766,839,515,244,208,
233,954,326,100,833,003,509,845,537,451,471,310,139,486,364,880,974,402,018,
710,365,789,319,320,813,705,537,984,749,626,304,835,409,793,620,992,154,293,
029,697,928,199,312,740,617,926,047,556,953,939,531,460,913,800,752,119,234,
623,953,351,262,938,681,618,165,208,248,198,885,782,807,059,690,984,176,549,
038,407,853,089,785,389,722,117,743,984,573,430,391,954,671,584,665,426,916,
445,511,764,634,169,124,096,043,893,927,997,998,015,934,047,319,076,646,215,
141,861,025,450,344,090,761,911,217,189,106,586,596,448,164,290,177,176,002,
324,274,326,752,360,072,859,752,480,093,294,633,882,360,517,873,058,236,786,
089,845,544,536,678,288,871,793,801,544,025,787,931,284,354,395,505,972,101,
041,066,723,490,620,704,509,949,255,295,327,794,957,850,849,038,148,136,095,
148,871,778,028,549,907,274,084,017,324,104,433,800,481,878,962,703,994,821,
039,351,764,335,418,383,440,097,883,310,735,603,109,244,441,342,339,567,746,
853,634,611,535,727,750,774,521,110,829,865,286,458,154,637,470,810,472,018,
817,665,256,919,585,417,842,379,788,429,029,090,232,472,889,062,654,231,395,
451,557,590,315,544,323,540,107,301,602,342,235,829,475,962,793,610,117,439,
730,190,995,965,282,629,592,437,347,798,996,537,696,106,406,841,299,122,769,
354,672,391,754,306,522,129,612,502,119,251,130,387,534,618,065,815,296,946,
484,572,068,134,989,700,487,300,365,948,396,213,070,448,413,745,922,911,824,
696,241,460,234,493,831,926,743,367,474,343,039,143,150,742,847,109,651,964,
607,465,787,734,036,770,690,571,459,570,167,821,156,218,200,321,005,425,857,
993,658,232,035,753,272,806,559,220,646,490,096,439,674,733,940,675,631,337,
942,544,832,608,224,316,290,388,570,881,695,183,226,499,075,095,706,642,601,
248,419,630,984,958,366,633,690,278,888,127,677,578,739,893,167,115,824,101,
064,715,782,690,781,320,571,363,388,377,241,361,679,407,814,685,310,539,620,
110,616,280,579,357,387,596,239,765,189,663,864,417,918,575,517,508,439,802,
692,932,336,936,697,960,647,241,752,034,808,170,523,774,415,823,612,229,246,
467,159,714,169,646,964,179,457,086,901,316,145,470,670,253,532,803,503,223,
388,481,042,321,132,566,791,314,937,581,109,517,946,978,812,512,546,227,158,
486,825,750,727,838,962,119,391,432,851,256,617,451,642,648,523,336,263,793,
288,783,299,707,349,084,388,875,779,392,405,464,607,017,092,218,337,904,587,
042,082,163,993,482,661,891,486,028,558,101,455,138,340,319,131,229,407,025,
553,719,145,208,544,537,625,089,320,247,726,898,917,920,278,871,029,642,538,
475,826,770,157,720,542,473,261,806,198,339,450,996,984,520,735,147,290,277,
273,009,143,118,665,876,808,210,769,822,350,504,165,896,355,866,518,431,932,
418,521,726,101,772,946,452,028,928,115,509,026,857,024,755,048,599,469,653,
227,829,682,820,925,678,460,959,320,176,199,740,855,060,869,704,552,964,010,
521,341,557,307,321,841,760,913,194,364,850,601,150,017,842,232,926,097,553,
342,216,081,269,488,906,568,301,038,654,418,455,231,857,656,112,686,427,287,
702,254,858,159,589,013,533,579,447,494,718,394,295,618,257,338,280,906,597,
519,683,166,250,240,354,122,295,079,595,352,614,543,985,266,572,752,529,507,
215,980,678,351,724,247,443,824,945,286,682,722,208,913,603,017,698,039,529,
584,939,034,726,576,781,098,927,951,242,177,031,824,625,817,293,659,101,481,
908,083,202,532,026,988,081,630,353,328,548,575,856,291,959,457,028,771,569,
509,302,947,526,809,662,481,849,810,743,044,814,277,417,436,629,728,545,749,
589,684,339,255,625,525,366,304,702,651,859,132,886,422,372,449,575,240,209,
858,067,500,855,437,323,612,776,072,561,223,738,849,183,000,616,657,592,263,
506,395,650,805,157,575,793,726,957,083,091,986,831,275,731,364,232,550,632,
723,961,451,920,453,599,283,687,904,807,912,708,355,115,956,215,456,989,144,
699,871,506,829,715,098,175,451,361,090,583,709,753,689,085,778,980,530,511,
702,912,448,108,669,956,890,375,754,247,584,709,614,061,115,250,887,612,852,
748,195,964,731,771,145,084,907,655,157,793,284,334,385,905,337,441,816,471,
458,383,515,735,914,734,598,846,927,206,162,077,408,771,647,833,468,725,006,
355,983,449,328,696,869,755,546,764,702,306,221,014,510,662,648,937,123,139,
223,861,323,338,317,777,554,443,339,548,705,807,672,798,056,071,882,342,363,
365,042,662,341,920,203,651,793,451,235,603,088,838,622,270,698,636,248,155,
687,427,708,669,313,905,655,575,343,367,449,882,272,852,917,322,210,068,317,
835,475,625,045,238,695,368,901,516,045,634,194,146,730,732,097,563,526,948,
040,666,611,238,800,397,099,362,669,379,063,526,373,178,041,471,881,483,812,
774,911,978,260,327,189,983,958,786,206,952,672,021,697,636,827,067,585,631,
620,516,124,159,312,970,037,469,132,654,946,896,323,267,404,021,909,740,226,
687,475,308,341,779,610,036,713,955,226,331,482,256,345,803,825,907,610,847,
562,739,421,419,249,960,698,481,282,141,598,889,475,370,157,643,329,880,995,
753,960,267,812,466,566,472,089,564,586,100,104,672,086,363,250,061,982,390,
294,340,551,658,341,300,349,913,232,877,775,306,710,318,573,581,599,213,304,
625,201,464,109,372,855,140,475,591,822,149,568,278,870,269,740,089,100,330,
662,336,938,592,823,314,456,584,968,857,840,289,338,623,089,682,776,632,701,
958,967,351,304,328,087,281,818,968,540,736,504,873,943,166,821,556,154,140,
374,290,062,081,939,891,519,386,090,461,387,062,730,603,626,925,377,223,307,
432,624,167,342,494,817,451,601,456,835,635,228,775,632,134,305,567,313,775,
925,785,152,754,869,335,109,773,606,464,073,030,201,962,436,546,999,414,976,
392,212,166,425,861,007,628,887,330,886,165,729,439,015,216,915,220,548,971,
459,746,454,786,490,195,537,537,014,202,143,671,851,854,262,832,883,717,300,
187,735,012,170,258,468,565,298,118,059,971,125,044,821,315,015,104,087,864,
020,697,614,865,280,967,681,459,984,620,854,750,549,958,973,493,841,489,956,
143,495,021,859,099,667,687,477,805,443,669,035,208,915,269,048,892,514,644,
391,090,790,210,921,609,672,389,537,073,794,035,795,396,270,820,946,525,422,
108,023,853,769,227,171,476,661,486,942,123,665,816,814,939,917,816,729,456,
508,507,741,995,027,045,578,617,528,735,851,518,094,584,677,982,556,324,275,
023,681,658,681,602,788,242,691,345,361,631,945,191,948,508,772,106,546,985,
976,884,921,819,380,572,822,946,202,519,841,631,033,308,736,953,911,696,087,
122,668,577,938,586,358,024,761,305,800,087,592,778,946,919,058,609,745,410,
851,012,665,984,990,967,129,150,525,215,361,867,739,987,688,694,296,606,695,
297,993,867,279,479,668,730,006,269,038,927,730,806,347,594,925,794,443,823,
264,681,109,891,810,793,921,047,730,232,459,922,244,409,831,762,408,759,543,
130,512,034,499,805,105,527,062,654,332,504,088,066,419,255,375,097,410,304,
452,494,583,925,368,680,745,831,538,023,961,687,599,130,456,482,287,114,730,
208,732,682,895,805,175,489,099,795,351,266,506,741,430,905,333,306,643,188,
060,249,593,079,923,157,643,077,566,791,231,984,893,939,674,714,863,185,401,
136,814,763,175,411,636,115,378,248,805,944,171,229,999,426,711,627,762,308,
071,197,810,458,101,199,917,924,164,140,051,264,735,860,109,596,633,939,288,
081,307,885,183,755,939,201,035,132,393,942,567,346,924,781,972,197,633,868,
687,598,582,169,254,477,511,384,444,099,772,364,651,697,155,670,947,283,858,
234,404,237,523,383,160,776,915,050,394,366,274,223,762,734,092,982,813,143,
560,231,563,460,674,812,447,181,328,961,879,635,819,373,361,977,044,159,030,
175,866,151,010,459,162,609,006,628,701,859,474,074,164,765,033,910,881,238,
615,202,007,714,328,460,669,553,875,604,824,877,034,818,309,610,841,179,347,
989,810,011,886,810,085,456,149,656,031,590,331,671,771,538,940,006,603,824,
563,538,473,305,358,125,125,634,467,200,775,063,334,406,677,460,900,085,415,
794,502,181,562,614,023,413,302,159,479,908,917,911,781,924,960,460,650,548,
321,809,740,585,408,767,707,729,769,716,997,219,637,446,457,391,643,742,954,
171,696,665,261,575,522,395,010,061,846,273,142,207,624,683,450,100,607,172,
206,890,597,933,037,119,152,121,853,955,626,939,149,849,737,543,495,695,000,
229,400,020,922,809,452,658,320,969,170,838,344,547,048,743,025,765,423,195,
338,463,635,323,627,191,663,982,938,624,548,364,851,563,111,302,539,556,254,
239,169,990,892,736,080,686,131,836,470,565,253,291,678,023,937,210,998,822,
378,802,897,154,027,065,147,478,692,251,794,855,632,575,125,546,527,603,837,
892,458,021,407,873,274,480,341,512,766,639,047,424,565,038,752,034,486,352,
993,678,010,445,436,529,432,282,433,114,841,152,513,141,083,939,574,453,617,
200,299,281,380,299,672,373,509,747,687,878,420,636,486,850,459,455,082,511,
696,598,123,784,619,919,535,677,296,365,958,284,374,323,487,994,363,715,427,
770,318,260,493,394,804,422,038,594,217,613,335,452,981,350,215,486,728,138,
777,693,519,658,672,524,521,815,362,329,876,647,991,731,532,834,503,912,927,
481,568,916,186,315,393,924,509,619,016,792,312,889,972,562,855,588,809,777,
632,702,977,005,254,964,057,508,113,958,468,473,626,673,279,483,104,419,648,
937,020,408,989,403,246,588,718,829,714,730,537,258,482,312,575,111,004,144,
458,589,494,656,421,245,076,469,635,473,029,187,571,408,483,174,753,016,678,
232,042,887,304,717,352,287,574,374,257,078,204,294,292,153,069,975,355,493,
046,126,930,855,836,052,606,455,084,255,488,363,416,391,679,122,087,718,515,
429,561,211,841,803,950,150,052,530,436,004,988,434,438,956,886,302,557,561,
052,932,530,396,887,989,365,963,656,392,710,235,789,361,778,141,568,524,564,
146,615,227,496,915,449,659,160,335,945,928,950,517,814,542,055,346,037,783,
496,090,394,108,603,512,663,477,199,663,155,279,416,475,298,892,712,616,971,
560,970,388,038,475,327,863,508,204,146,307,458,262,040,652,909,996,640,461,
749,046,225,492,436,368,676,902,852,689,859,474,612,788,506,367,330,420,634,
681,024,133,914,753,399,754,993,832,649,665,669,034,275,817,552,180,014,944,
677,540,258,263,497,797,451,543,530,355,377,016,313,103,029,712,371,313,841,
312,264,269,871,740,096,162,341,622,770,090,356,406,845,507,485,315,029,474,
057,253,781,776,078,931,503,059,669,857,339,493,472,473,154,498,398,701,239,
992,093,519,129,864,200,668,888,624,015,383,928,884,351,368,628,669,824,807,
017,238,283,145,842,706,566,858,149,349,743,967,721,042,531,175,211,417,366,
162,726,278,428,580,849,090,451,026,477,560,455,976,951,196,292,473,453,092,
453,371,079,566,182,312,064,886,454,719,716,733,002,287,669,557,091,313,565,
889,045,622,723,913,482,395,894,243,734,709,845,519,873,608,635,630,073,331,
228,129,038,414,677,821,029,180,810,737,128,973,397,803,745,887,559,360,838,
910,545,620,648,192,703,369,284,472,088,254,305,491,210,381,944,665,466,062,
040,060,055,674,723,210,986,572,673,456,459,131,680,093,008,313,517,444,788,
740,732,924,961,155,704,886,357,090,933,942,350,179,514,902,468,083,354,126,
410,837,744,594,778,024,887,140,003,894,129,211,022,055,169,077,920,806,023,
218,427,512,889,833,471,464,155,707,932,639,260,487,575,028,860,853,146,034,
410,986,049,282,178,358,017,826,789,515,037,960,355,949,973,137,844,515,118,
683,298,742,077,128,580,786,586,916,558,079,513,386,716,635,986,317,352,041,
494,058,576,516,900,621,991,788,035,621,840,149,827,974,499,919,720,580,464,
668,800,638,021,744,695,542,895,091,205,900,318,181,150,270,132,389,997,659,
933,873,510,918,529,593,386,423,289,241,519,421,393,168,126,256,169,767,062,
602,427,263,744,322,601,835,275,545,506,488,652,237,914,015,230,932,674,311,
657,377,222,032,999,258,978,008,685,529,217,033,136,205,043,931,799,766,416,
535,295,359,267,772,164,832,831,498,186,730,834,110,713,698,016,176,659,817,
522,756,828,966,426,226,010,559,714,193,250,965,591,086,681,262,771,228,371,
925,177,514,347,879,722,268,724,667,106,285,546,936,260,871,640,714,886,841,
174,475,735,160,184,708,888,614,036,095,386,596,070,806,702,828,142,323,606,
351,716,911,879,960,760,063,296,811,284,793,652,165,387,516,940,569,656,326,
574,727,804,016,348,467,927,651,413,924,598,996,461,209,154,019,201,546,233,
766,942,939,092,713,724,378,160,266,503,038,330,351,756,264,851,354,161,995,
385,673,014,205,668,498,351,516,070,471,756,776,425,224,760,484,642,700,671,
337,594,331,759,999,606,759,491,727,510,477,354,071,666,293,279,139,760,501,
238,361,346,602,645,739,348,558,817,294,755,816,654,509,559,224,430,258,793,
484,736,694,963,205,969,484,156,217,495,782,586,501,801,244,362,475,827,352,
271,121,756,377,908,995,714,584,766,206,892,250,114,825,587,108,962,961,676,
952,043,572,254,808,300,809,335,800,357,251,631,093,322,298,462,233,327,516,
627,310,383,884,545,483,641,901,466,360,045,751,867,117,265,965,303,716,869,
171,712,671,687,506,533,387,897,644,912,305,029,316,899,345,966,734,627,142,
931,625,589,634,413,767,546,877,760,709,242,215,640,869,692,336,824,528,038,
230,963,642,189,055,595,709,671,626,981,465,110,051,543,388,500,942,516,805,
190,268,856,307,869,811,486,366,622,283,862,110,774,420,991,165,882,851,202,
516,682,367,109,803,703,227,098,842,000,318,357,282,281,255,290,355,438,082,
192,816,692,697,001,815,973,493,093,034,737,550,703,049,599,965,435,366,955,
788,839,313,685,517,573,813,203,716,501,213,926,009,645,299,574,247,448,540,
417,084,525,928,953,171,971,965,068,313,636,352,557,870,252,462,410,048,395,
223,760,269,567,186,912,968,411,626,214,577,557,203,583,546,980,136,192,647,
201,019,765,668,883,864,792,733,429,715,096,510,623,269,011,443,381,636,991,
671,752,835,566,957,270,218,029,922,680,895,102,143,250,851,838,846,264,130,
841,776,173,478,311,192,498,115,525,204,445,889,789,585,038,615,746,718,631,
487,052,894,182,936,896,624,319,450,049,922,293,349,534,722,928,035,132,985,
621,793,385,513,435,712,540,200,271,480,459,387,180,994,928,352,716,303,966,
138,758,785,110,657,159,961,040,326,494,107,040,507,623,538,468,967,816,260,
632,498,578,200,031,192,831,742,205,822,230,452,683,977,222,091,073,090,035,
934,588,653,640,309,493,810,017,014,529,179,427,890,034,778,012,173,694,695,
517,868,572,248,304,717,719,173,940,735,160,116,397,703,536,645,519,377,340,
900,647,772,206,699,138,683,419,704,035,606,098,724,728,256,837,013,783,771,
079,666,803,574,513,876,900,430,284,608,137,981,180,307,304,076,470,286,359,
001,389,052,437,408,308,394,089,072,429,678,789,302,686,099,746,311,371,468,
218,043,450,266,248,469,511,150,876,138,674,493,267,846,259,071,119,907,982,
378,876,731,559,363,237,047,284,287,493,843,846,757,356,929,858,452,159,830,
031,113,393,156,561,168,873,308,345,490,951,333,294,476,671,247,044,561,210,
864,730,601,794,692,049,883,242,724,336,978,790,544,554,165,742,127,370,496,
522,398,796,869,073,638,684,636,102,391,176,811,384,728,471,008,636,918,858,
214,026,051,536,292,456,313,057,124,174,972,651,060,347,660,198,694,373,446,
065,348,673,445,785,315,363,545,396,262,080,535,907,159,190,208,600,771,275,
680,148,754,416,075,525,135,351,199,034,797,109,675,912,632,974,501,856,354,
617,132,831,871,053,811,274,714,012,903,568,946,676,417,008,502,151,886,380,
964,409,097,956,794,140,826,929,411,040,215,909,854,421,232,474,664,653,033,
401,736,681,588,513,201,805,540,845,189,225,735,231,553,431,250,932,111,946,
065,292,565,836,050,974,606,040,150,449,347,729,947,123,327,247,809,811,044,
669,983,642,959,671,263,092,462,408,010,274,712,332,842,692,084,970,450,348,
648,067,154,318,231,552,150,505,850,050,129,093,980,954,608,283,315,010,883,
298,135,847,623,351,681,114,631,939,764,260,394,148,515,884,321,215,729,249,
192,158,548,299,697,224,245,660,032,538,626,859,660,659,077,308,907,742,081,
786,717,584,401,261,817,977,706,677,715,995,845,253,168,455,110,043,518,681,
452,261,439,992,539,675,629,539,385,374,013,189,467,699,407,590,410,600,766,
792,962,258,895,168,540,095,989,493,510,632,747,309,679,081,795,814,354,390,
545,564,164,127,774,392,807,768,259,033,204,569,702,850,551,421,531,964,849,
585,344,061,488,268,796,872,364,119,109,453,689,307,784,330,322,512,879,566,
325,631,657,224,945,646,434,558,737,136,413,920,847,364,406,964,983,886,014,
556,823,096,756,198,145,572,041,310,290,382,847,477,207,738,090,007,454,522,
993,019,376,606,511,632,369,076,680,933,244,384,528,172,338,222,148,163,124,
184,435,344,406,858,557,989,174,873,141,804,599,765,577,577,652,904,354,893,
871,942,888,785,561,512,904,605,883,300,330,768,234,928,295,789,687,211,830,
107,672,677,941,821,721,757,657,288,716,089,173,720,398,653,669,181,815,509,
494,843,466,429,467,715,459,505,657,656,504,765,852,422,728,318,457,690,399,
050,614,166,426,868,487,353,979,320,535,238,042,030,940,944,817,628,876,254,
785,098,563,152,172,408,624,203,596,185,056,763,644,587,402,384,346,106,778,
028,121,400,573,240,801,345,167,880,000,932,141,377,254,973,572,967,270,738,
605,518,169,203,303,637,351,520,282,793,152,348,493,488,312,795,733,125,661,
269,463,876,188,812,952,538,452,618,538,749,038,606,211,617,911,785,548,312,
088,911,499,077,450,887,179,139,039,077,165,300,652,591,525,051,751,189,056,
330,017,611,545,672,425,462,246,581,455,460,765,921,852,354,242,956,934,256,
486,724,282,245,438,998,483,191,811,418,199,328,602,979,941,560,590,336,714,
579,421,139,884,226,284,632,862,926,729,443,616,994,116,968,337,840,603,880,
624,669,720,166,881,755,261,074,277,647,758,916,057,326,697,445,852,865,085,
715,628,120,363,723,374,076,405,335,843,013,913,469,875,779,842,770,954,446,
960,443,084,664,468,978,411,178,392,995,026,828,365,547,802,093,448,907,218,
584,047,130,467,247,719,376,064,905,710,353,587,018,517,850,274,881,294,999,
754,902,514,958,518,344,424,580,432,718,022,390,891,201,908,799,892,647,607,
169,171,623,510,557,740,296,467,352,585,616,896,178,938,862,474,507,704,979,
252,582,443,858,003,349,427,964,723,716,681,543,158,381,472,958,504,084,104,
506,395,389,090,892,068,631,360,944,250,156,242,543,848,743,238,706,717,619,
547,290,298,867,939,845,315,690,306,059,492,061,393,902,186,934,204,772,378,
278,550,813,101,589,184,198,747,975,904,270,693,148,568,495,245,977,295,146,
003,290,422,107,019,297,963,645,487,983,697,610,121,634,842,805,366,499,527,
134,019,525,517,820,285,809,591,766,277,527,968,251,111,013,207,819,277,228,
245,333,082,632,471,310,737,487,501,574,042,186,769,759,802,500,973,643,328,
807,908,094,923,721,468,811,393,477,794,592,093,203,649,423,857,499,255,273,
388,201,243,336,905,227,062,572,161,748,536,619,086,765,910,361,192,488,679,
581,927,160,891,082,854,449,557,091,947,060,665,546,401,183,771,471,848,924,
153,267,626,523,507,945,481,272,130,443,864,868,497,797,721,341,614,584,831,
041,504,960,607,364,758,079,119,835,529,558,576,713,317,928,356,519,018,246,
190,891,503,797,924,221,589,206,370,170,921,543,190,040,078,123,735,467,437,
037,336,429,993,416,604,611,486,890,518,461,169,876,704,532,268,100,902,516,
020,964,951,698,364,947,236,764,443,379,415,213,324,137,424,414,205,404,974,
686,446,431,413,551,640,860,402,287,341,257,689,602,574,581,613,944,953,712,
336,334,707,773,092,508,324,119,585,223,747,193,546,617,037,668,052,409,797,
789,693,516,096,101,046,896,279,265,068,250,939,061,746,712,665,576,819,535,
860,996,040,884,654,174,959,531,435,327,341,075,907,675,491,137,590,303,748,
719,535,116,081,923,448,676,652,288,006,520,107,613,250,410,719,132,134,373,
942,954,084,893,134,877,330,391,000,289,050,542,402,217,806,817,523,956,871,
389,160,419,353,104,259,409,744,486,280,878,221,634,440,579,797,941,392,253,
820,961,684,579,594,635,567,897,060,947,863,795,516,292,819,951,345,527,268,
731,258,207,832,854,585,118,555,399,612,733,596,031,104,573,450,073,932,509,
320,358,855,811,126,116,403,724,804,037,976,389,221,425,586,693,541,619,140,
762,217,541,292,773,758,540,296,457,202,690,571,047,865,483,844,111,322,180,
432,805,419,405,722,603,904,631,760,638,309,320,073,386,895,965,519,890,801,
176,230,468,728,577,335,654,725,791,169,382,685,956,910,741,283,065,456,067,
556,615,468,073,210,929,341,888,101,607,944,715,703,181,393,654,564,605,734,
265,262,953,547,472,371,815,064,304,185,154,018,588,326,618,245,089,762,242,
126,749,084,518,876,338,855,716,776,452,445,660,176,014,128,156,479,826,082,
667,902,959,659,937,035,751,665,727,709,118,302,440,699,706,194,586,832,566,
287,319,581,131,150,941,614,457,251,004,842,217,850,430,638,393,329,205,089,
000,630,959,231,421,699,049,527,875,802,758,736,193,274,015,973,147,354,811,
507,127,466,302,133,376,522,504,624,617,910,041,182,258,139,290,514,519,291,
811,745,840,882,945,551,117,246,455,216,182,815,067,349,222,473,489,016,931,
379,690,499,793,778,964,389,425,205,874,300,693,519,073,337,669,289,682,294,
352,462,952,104,192,328,161,800,891,091,944,070,138,401,810,460,394,525,023,
125,372,289,900,248,280,981,697,041,780,082,614,231,321,909,831,322,171,989,
505,182,006,385,317,169,765,321,946,500,367,219,779,633,621,369,023,392,523,
752,208,128,092,295,024,320,309,790,750,301,331,304,190,607,114,163,927,834,
871,805,849,677,593,752,846,561,287,361,559,266,829,649,555,927,604,097,348,
251,663,211,757,495,410,889,800,933,262,438,629,352,905,717,343,548,766,867,
443,559,684,244,275,189,122,513,445,679,141,666,614,017,018,716,773,132,541,
872,550,557,054,967,999,597,052,819,353,112,156,668,004,841,046,415,945,145,
271,749,480,386,987,512,355,905,235,112,870,321,574,002,328,235,311,929,214,
160,690,972,994,506,259,847,324,207,406,876,125,898,263,337,265,289,207,783,
079,483,899,328,789,667,013,566,700,555,046,470,825,546,444,481,488,764,928,
420,287,061,548,003,616,435,173,805,508,812,032,693,152,073,535,165,652,265,
403,604,354,797,946,351,808,060,054,418,525,712,288,304,765,146,838,319,635,
945,973,392,657,327,896,341,115,953,364,181,664,374,832,946,268,497,814,323,
157,440,499,186,014,603,096,300,630,975,095,596,123,338,754,437,970,699,176,
838,932,194,902,093,101,358,677,546,421,648,437,552,895,156,801,546,748,355,
887,789,229,373,019,161,616,848,477,203,990,049,694,008,022,294,390,296,347,
369,154,446,148,066,266,885,291,552,246,348,034,996,579,000,097,873,129,912,
613,522,768,789,063,218,875,538,820,916,651,511,352,249,429,231,997,873,210,
962,193,917,445,481,600,314,565,466,230,986,846,570,701,094,053,143,151,726,
425,945,193,143,694,805,897,638,583,990,376,939,434,084,843,551,824,833,556,
679,213,161,208,892,672,807,299,217,906,987,668,182,880,553,588,455,268,070,
459,158,291,824,122,759,445,943,032,202,312,801,175,850,994,538,152,738,603,
827,594,479,555,765,048,552,530,575,860,360,074,492,145,460,149,394,318,199,
993,553,926,349,467,749,207,468,626,834,405,194,776,961,405,616,687,870,444,
019,227,091,447,626,766,882,057,884,145,457,116,142,991,699,070,866,054,406,
981,089,391,901,519,189,487,154,639,264,791,516,866,050,050,125,677,394,236,
168,945,946,167,260,069,304,448,284,068,029,799,025,122,053,358,503,975,931,
597,089,482,993,991,954,478,943,235,686,690,608,183,859,420,817,285,151,886,
962,537,017,748,504,938,565,468,187,259,329,495,396,294,241,731,698,271,421,
535,706,052,304,666,824,694,535,244,508,485,224,222,814,917,441,494,494,256,
198,244,750,004,465,160,338,478,828,926,957,384,669,274,010,021,200,281,076,
102,712,713,975,289,707,109,484,978,479,071,193,054,777,013,914,118,653,055,
507,224,737,851,002,605,995,056,203,024,990,255,577,296,196,081,757,868,440,
139,897,150,464,071,013,176,305,640,073,379,108,696,346,477,620,904,642,162,
111,114,083,285,639,610,622,606,291,591,640,899,383,529,101,413,280,525,124,
471,562,216,543,788,264,570,049,569,344,074,504,120,036,050,712,890,883,132,
940,592,819,232,007,301,172,322,283,928,374,810,562,111,462,301,963,519,328,
616,982,757,306,653,157,774,962,914,678,497,788,784,428,389,850,640,372,485,
735,061,266,202,592,434,871,425,329,261,419,154,345,173,103,354,851,838,555,
559,598,024,501,891,280,665,257,569,562,365,080,565,334,431,150,393,805,502,
595,717,714,034,097,509,778,848,024,291,536,107,127,232,607,302,245,522,229,
298,992,881,957,417,890,518,730,631,001,394,588,177,739,513,750,835,946,977,
469,733,325,076,761,300,721,012,832,460,560,713,386,157,737,231,057,985,496,
813,585,496,088,796,718,831,823,723,181,648,989,406,818,713,598,676,940,614,
150,577,684,883,421,433,413,979,571,660,753,237,200,300,830,844,079,866,562,
563,140,301,554,074,209,535,016,331,341,786,124,251,328,399,444,694,107,136,
565,990,049,979,106,496,514,433,991,333,932,738,263,021,166,285,704,122,346,
253,109,739,565,711,386,598,044,166,370,176,799,393,378,318,468,026,644,711,
028,275,089,235,075,752,340,552,166,552,219,816,961,682,756,109,627,474,685,
964,407,988,912,422,576,666,723,790,463,363,556,999,675,280,160,286,207,589,
067,633,900,841,731,872,518,523,743,959,387,859,441,821,079,459,277,642,544,
314,580,551,193,054,662,542,890,323,116,777,168,864,226,060,067,214,976,371,
941,428,117,570,763,543,405,136,573,900,772,921,168,646,353,614,935,687,712,
802,088,100,568,545,037,369,015,767,540,150,914,771,012,827,552,155,111,659,
448,535,189,922,030,418,792,159,116,410,372,072,850,981,679,144,193,261,998,
637,679,590,357,890,387,907,577,677,880,857,036,607,753,257,497,407,636,979,
300,823,900,504,236,374,121,421,218,709,460,747,683,080,176,278,609,541,816,
045,587,984,261,220,744,264,108,322,073,247,126,879,398,778,017,290,817,166,
004,157,071,897,547,133,522,262,556,685,955,091,850,700,685,312,079,416,050,
094,695,907,214,766,881,975,900,596,869,513,267,334,025,696,461,082,255,946,
818,116,770,791,763,081,274,849,475,732,229,911,000,427,946,691,742,603,534,
170,905,533,939,661,411,478,607,749,869,979,131,816,626,988,656,840,025,034,
884,097,451,774,229,449,402,995,772,234,342,834,541,167,085,494,581,546,432,
100,305,313,084,957,078,125,390,286,497,582,211,210,525,804,511,706,162,408,
732,164,725,359,777,038,288,761,752,056,559,042,722,951,690,801,399,706,186,
881,061,727,945,744,345,389,446,497,011,015,234,835,454,963,677,698,596,695,
127,297,887,732,054,327,706,770,324,261,843,911,425,936,343,719,517,607,489,
368,068,828,353,036,089,677,950,280,778,333,195,988,071,889,432,290,307,212,
023,060,203,595,006,022,182,904,554,265,263,141,067,694,942,229,364,625,827,
737,896,867,333,940,270,706,983,704,694,085,867,754,339,909,803,889,770,962,
188,156,667,244,888,947,270,006,652,419,276,618,800,698,828,319,964,805,969,
649,564,305,703,908,720,864,161,446,989,980,245,490,206,946,959,274,854,510,
414,222,005,960,521,015,002,187,300,754,761,138,873,988,062,289,720,992,225,
860,547,341,711,823,901,453,989,874,920,583,514,216,602,546,572,324,701,355,
119,087,896,092,530,841,812,444,920,633,428,598,370,727,224,260,410,683,534,
193,385,623,108,503,834,987,574,889,509,859,026,394,930,327,810,314,873,364,
871,416,225,373,784,027,906,773,128,195,796,404,889,399,811,142,136,633,825,
213,627,712,087,370,071,949,561,492,571,853,518,615,099,852,310,796,136,895,
349,029,626,366,177,377,151,979,989,624,532,634,540,571,567,581,466,109,825,
387,890,622,223,223,791,988,343,140,393,120,502,939,980,308,760,425,123,936,
469,942,879,489,210,832,361,786,986,086,462,150,627,401,477,617,041,276,381,
450,236,713,563,150,747,626,369,207,543,032,530,551,653,123,505,237,345,964,
960,559,499,584,311,179,028,986,910,613,155,449,597,460,322,265,808,520,356,
525,188,202,182,133,799,753,304,867,456,694,157,721,253,855,255,132,681,954,
649,535,555,250,597,968,459,461,470,513,575,711,178,694,558,650,248,103,159,
841,511,447,704,883,132,483,384,299,215,625,687,846,347,110,750,439,316,719,
793,007,287,083,292,960,824,603,949,394,252,277,115,847,452,118,216,230,499,
393,163,425,458,924,325,372,416,322,449,126,162,081,090,041,228,243,751,990,
237,592,096,842,001,240,011,253,369,528,950,793,693,592,817,297,450,611,985,
680,514,838,813,948,857,322,993,141,097,460,155,153,471,470,400,519,494,946,
883,108,520,312,286,544,387,594,159,418,479,197,298,704,179,855,729,186,443,
405,441,903,455,370,592,768,756,935,788,446,954,587,535,044,397,703,291,492,
890,227,470,233,678,593,918,916,601,092,501,857,690,454,652,180,099,767,618,
044,559,749,487,583,367,831,556,429,844,894,044,341,445,580,162,178,204,728,
088,650,283,250,394,781,593,358,736,259,491,233,936,586,518,743,317,390,975,
819,132,892,610,461,349,403,156,439,928,910,099,616,673,266,383,179,348,854,
623,836,579,243,611,262,663,042,946,865,808,937,631,905,849,843,257,283,697,
110,747,692,430,359,667,789,365,097,464,492,399,756,648,141,502,902,783,090,
383,503,093,200,869,587,054,543,198,136,630,372,486,040,843,719,186,292,529,
422,511,877,419,068,886,913,775,163,024,214,982,853,693,925,391,590,637,010,
027,096,256,468,976,669,704,210,431,302,244,081,656,473,846,940,471,141,060,
040,640,209,507,486,043,373,864,019,059,629,968,251,464,419,258,146,484,681,
744,972,510,077,066,154,159,582,637,605,026,382,768,945,676,811,804,284,517,
536,991,192,719,635,139,851,391,936,433,484,566,982,020,880,675,941,404,479,
493,146,988,048,327,184,501,464,158,781,282,939,335,053,991,160,709,635,640,
043,546,854,315,595,231,660,974,124,593,377,317,181,495,326,098,429,037,530,
114,146,347,280,890,438,779,115,582,971,775,379,471,790,187,417,403,857,471,
826,063,384,619,521,814,172,454,513,827,507,205,092,613,244,823,721,354,764,
778,560,584,831,785,045,910,855,596,964,904,941,195,358,839,845,457,889,132,
630,850,156,177,237,648,416,815,191,280,751,698,475,618,745,413,310,845,184,
019,305,412,609,421,216,421,352,639,015,293,049,211,849,387,464,667,025,609,
571,896,255,657,868,413,184,884,581,089,152,595,511,637,406,448,237,967,903,
531,826,902,912,777,987,528,869,286,385,253,969,423,900,815,304,746,571,923,
484,703,903,665,715,157,166,086,788,026,762,664,185,185,078,848,982,351,601,
220,059,205,956,876,800,670,027,900,849,399,618,896,009,022,600,051,700,250,
180,897,691,765,532,676,573,138,131,349,512,332,190,621,866,612,994,176,215,
922,585,490,527,826,266,912,624,335,209,732,027,386,320,122,194,821,340,529,
099,328,724,870,747,749,964,059,154,547,514,163,000,854,423,107,533,617,201,
891,613,717,609,234,235,542,598,150,245,558,223,543,776,619,474,489,275,842,
728,632,864,322,130,951,891,323,025,751,028,932,006,350,438,538,170,020,390,
869,771,085,834,812,241,323,911,538,148,372,672,100,187,416,158,035,745,304,
259,499,705,919,613,165,873,490,115,689,621,991,086,063,805,247,760,205,000,
504,171,905,205,902,133,926,192,073,793,291,599,800,008,278,332,112,709,780,
558,696,628,983,569,549,572,589,921,658,817,263,040,478,638,649,722,251,808,
607,294,469,500,214,242,912,311,622,687,122,655,165,736,740,413,737,523,472,
801,012,351,455,988,490,797,922,309,588,442,494,758,871,378,375,854,035,756,
546,296,326,859,223,368,524,672,991,881,666,040,557,324,528,777,021,772,567,
189,470,611,687,746,395,617,848,028,200,024,586,624,823,984,467,823,386,460,
728,314,680,427,416,430,056,930,195,548,742,595,191,966,289,926,846,446,806,
900,498,673,541,677,867,760,931,492,169,027,599,675,839,258,191,471,207,346,
561,314,149,663,264,063,338,148,437,395,989,722,773,157,107,105,473,332,508,
170,671,510,403,149,493,995,640,594,766,517,357,087,917,578,869,623,820,710,
219,745,577,222,185,806,774,763,594,793,663,695,107,221,627,231,226,898,896,
288,915,983,143,160,645,617,636,789,575,588,143,159,934,062,893,426,203,820,
551,454,406,318,049,367,403,511,724,286,348,945,273,484,264,756,325,933,948,
498,395,976,416,461,698,565,419,882,796,800,651,989,257,718,113,045,897,689,
589,257,121,511,547,395,990,401,147,268,130,747,166,700,415,537,138,829,647,
273,092,918,677,217,182,529,595,100,372,950,155,002,301,960,414,739,578,142,
437,044,121,137,989,415,632,814,149,711,665,927,020,096,611,852,793,797,769,
069,675,771,165,752,267,537,237,215,749,351,625,230,870,976,424,860,709,371,
013,059,457,208,788,791,570,043,084,159,841,045,903,860,814,058,705,842,531,
281,092,758,739,063,193,571,254,863,618,946,102,894,462,438,078,213,298,893,
731,966,806,576,745,157,550,329,398,595,016,102,058,745,119,962,185,225,304,
669,550,870,609,984,180,690,986,983,317,873,063,010,516,146,166,141,410,915,
277,196,141,999,188,735,725,249,993,503,449,760,381,639,112,212,141,423,869,
277,313,895,681,170,985,750,499,015,693,753,116,529,971,177,730,810,604,202,
502,354,176,979,009,520,558,343,005,577,625,480,316,212,750,486,548,098,619,
057,415,867,911,576,049,933,008,821,595,214,790,926,277,401,037,824,351,367,
626,104,695,957,327,685,392,051,524,621,330,238,849,524,396,097,474,116,655,
382,205,807,335,541,219,981,681,282,452,725,355,611,218,293,955,156,110,335,
041,133,824,504,541,297,098,997,768,527,189,374,604,180,803,991,572,016,965,
079,102,954,396,019,042,221,545,529,944,797,047,599,844,659,137,823,946,809,
729,665,738,223,759,481,333,328,919,521,456,739,718,694,804,812,054,022,046,
857,456,685,749,056,794,350,185,673,506,649,586,108,843,450,141,582,817,152,
242,794,266,800,853,773,497,619,876,920,334,558,589,004,478,059,578,372,467,
297,218,171,782,951,880,717,783,136,505,741,510,019,291,349,431,094,229,345,
281,634,437,919,959,433,128,615,803,979,064,681,213,508,415,971,377,430,296,
876,393,427,307,373,581,197,066,948,866,642,882,809,958,636,995,284,266,068,
451,289,966,403,824,810,609,619,377,441,262,466,108,873,280,819,288,098,619,
372,676,382,661,178,816,868,474,706,877,712,447,429,270,553,851,954,569,485,
092,321,057,905,876,862,207,242,589,998,215,778,780,012,227,561,452,193,876,
180,428,025,576,851,077,356,613,234,421,444,957,780,113,552,954,317,812,076,
067,347,916,864,443,507,608,021,949,593,997,649,315,689,628,811,777,868,784,
176,269,218,484,832,588,018,325,235,339,935,985,200,298,533,342,007,526,775,
328,557,404,514,678,194,005,320,173,057,259,758,791,348,230,874,510,957,758,
154,589,878,564,201,733,892,677,775,783,067,117,167,271,627,352,105,047,487,
099,368,458,102,514,924,608,004,863,513,815,882,733,073,700,064,232,430,614,
360,165,739,773,692,855,518,998,585,588,463,286,517,572,741,085,238,575,474,
976,984,856,452,653,314,576,508,078,850,373,910,754,316,264,362,805,190,286,
474,198,744,859,364,999,376,439,040,599,768,069,428,326,394,063,492,490,370,
723,831,344,345,188,533,201,484,648,243,841,480,246,549,984,186,001,331,393,
023,958,934,118,846,159,647,707,379,052,105,231,217,276,751,136,254,469,114,
894,431,291,820,389,529,464,632,005,399,418,882,854,172,325,872,599,414,373,
492,980,917,354,472,530,726,576,646,802,897,075,842,517,141,227,425,711,205,
499,684,997,948,387,493,626,057,756,868,800,781,513,029,764,473,953,270,469,
242,625,580,589,580,032,556,851,598,922,798,519,904,276,311,313,041,531,792,
613,143,975,238,152,792,648,449,924,088,560,571,894,872,004,831,549,699,424,
325,565,019,224,742,226,436,988,105,165,471,076,796,633,056,547,292,080,144,
771,358,275,199,146,670,390,964,411,114,178,750,329,240,826,305,521,694,114,
007,492,357,773,097,095,100,074,574,595,087,143,041,142,627,781,162,341,158,
336,358,745,007,837,790,671,526,720,998,311,789,120,566,732,242,370,106,325,
578,901,234,439,822,798,342,903,728,496,566,637,014,126,976,115,313,815,977,
319,550,459,837,076,383,372,072,414,838,125,026,667,766,009,951,996,104,321,
138,957,810,939,508,713,813,234,656,745,412,356,377,876,535,990,260,275,721,
312,042,590,748,650,105,437,798,249,017,197,630,129,763,966,986,269,967,088,
503,859,455,661,252,421,422,936,139,641,176,727,747,685,474,441,062,608,170,
591,121,127,837,039,801,036,579,305,820,238,936,393,069,813,871,209,803,649,
542,588,979,246,302,225,777,663,618,468,635,828,995,570,959,598,407,144,888,
829,421,369,679,231,824,578,946,710,642,231,439,742,702,497,987,251,478,285,
873,236,939,427,954,089,340,185,671,386,953,501,486,643,674,774,530,325,701,
090,298,879,264,601,981,117,008,319,058,539,691,422,706,829,604,170,577,600,
746,814,156,679,837,330,926,910,151,757,277,417,233,566,740,689,827,280,540,
959,580,792,129,834,007,119,052,479,371,980,312,293,256,065,652,874,958,846,
472,470,874,547,554,747,277,684,196,381,082,082,592,273,926,440,670,745,355,
898,061,025,478,500,225,266,816,840,735,914,003,489,126,018,502,094,384,048,
101,852,558,117,538,806,804,013,461,700,403,062,743,255,229,212,959,114,910,
317,961,393,804,608,542,589,363,250,095,854,186,119,676,871,163,822,964,820,
592,021,682,715,283,368,295,303,755,393,869,606,756,043,800,776,770,694,514,
025,209,761,297,519,490,375,072,520,295,455,860,171,177,180,583,842,075,155,
254,932,576,562,368,310,715,611,545,456,464,298,252,867,873,968,910,920,805,
709,146,829,136,410,452,090,933,095,794,393,350,052,580,542,166,784,543,083,
604,561,263,831,089,391,948,880,711,828,638,474,316,955,637,546,708,845,834,
956,248,914,124,351,438,420,729,199,415,904,964,762,204,883,107,768,754,510,
174,808,774,862,652,796,874,721,034,973,393,175,711,133,249,601,772,208,036,
031,892,343,954,470,578,915,088,023,939,119,306,501,909,580,903,577,525,987,
999,974,355,398,143,570,192,615,739,794,515,448,756,341,855,938,792,707,502,
717,500,662,519,708,931,670,759,863,153,332,104,365,928,863,386,835,009,671,
434,741,453,971,793,979,966,136,264,362,948,289,396,635,471,419,857,103,947,
497,229,855,405,086,428,246,027,209,953,223,945,263,029,277,233,590,522,786,
359,904,428,176,328,096,949,639,114,180,179,734,183,644,696,832,226,942,119,
753,142,889,609,803,240,783,846,259,245,029,188,507,818,985,454,847,269,140,
128,923,323,538,341,390,894,505,038,875,872,171,849,396,262,600,954,131,896,
626,234,270,374,474,226,338,777,669,567,538,093,454,237,825,450,562,438,440,
816,756,112,492,936,010,909,097,106,463,110,842,951,796,279,977,378,459,390,
448,061,486,879,310,379,725,634,290,083,331,203,244,612,931,541,158,073,532,
111,743,996,074,173,560,418,599,817,065,604,288,632,640,785,367,703,907,989,
395,253,961,647,646,326,559,666,754,486,134,340,372,734,084,636,346,494,176,
396,563,216,028,458,302,561,973,994,342,989,810,007,088,055,567,885,232,006,
561,724,443,358,434,704,842,497,753,222,262,655,501,974,039,611,581,619,176,
029,152,704,649,419,546,226,310,338,673,563,424,622,039,906,047,793,631,001,
302,254,728,225,004,667,865,817,619,469,260,086,545,358,104,660,490,258,456,
722,001,650,864,347,876,041,964,208,997,840,283,244,233,885,913,265,026,597,
951,399,745,749,467,659,264,582,024,252,115,127,986,331,759,669,508,423,950,
772,494,672,795,031,362,945,797,275,781,592,042,660,114,388,609,603,777,366,
268,271,217,633,558,191,551,158,639,926,691,166,991,482,593,206,745,149,026,
084,752,617,088,951,001,739,572,875,125,250,169,459,584,637,117,824,405,701,
048,341,730,298,905,023,605,481,329,651,053,221,529,121,559,874,261,689,781,
777,865,226,393,745,525,325,520,970,815,276,681,560,989,550,569,145,882,854,
470,656,499,719,111,457,473,873,181,722,652,223,542,541,337,020,970,736,705,
364,431,044,345,919,271,561,342,837,176,748,616,767,394,788,763,156,048,331,
092,932,622,766,396,186,040,069,098,188,633,095,561,720,267,228,532,573,024,
106,447,594,462,951,663,269,872,124,253,427,828,117,773,923,592,565,566,189,
048,970,735,849,030,430,755,671,117,048,114,613,941,510,671,857,146,839,674,
497,121,377,779,711,809,032,687,428,480,857,584,036,535,161,775,381,661,538,
926,660,809,773,472,628,744,091,747,996,454,400,241,711,130,403,752,555,735,
318,985,520,832,356,605,507,555,464,936,635,582,229,113,287,646,188,664,926,
857,007,641,757,741,536,996,549,233,178,876,449,128,666,476,940,173,684,710,
180,350,314,554,050,814,256,720,862,157,939,645,574,034,630,843,054,834,512,
391,009,915,542,332,771,099,277,064,628,422,747,531,038,651,715,848,913,740,
047,667,367,571,686,103,505,670,286,732,693,897,245,517,298,991,632,865,745,
564,455,845,274,440,258,719,038,624,443,138,620,577,918,070,304,871,681,517,
538,048,919,938,497,114,570,737,468,348,646,329,719,113,554,020,111,250,116,
909,345,947,026,507,495,331,406,228,987,892,609,206,953,163,616,772,883,710,
100,406,384,868,893,677,445,243,034,698,487,720,647,799,528,319,423,880,200,
404,171,903,699,734,755,370,503,387,471,002,803,320,064,532,843,311,473,791,
358,638,309,209,592,118,923,749,205,284,850,150,252,998,062,015,692,426,617,
010,393,466,554,866,610,914,114,171,265,998,623,417,640,026,745,977,890,531,
189,796,836,382,137,033,356,668,979,491,761,746,801,585,188,624,476,829,495,
789,960,346,236,290,110,664,898,138,253,151,467,915,758,579,890,742,163,302,
766,069,160,141,546,284,174,064,689,902,011,666,887,862,458,061,034,260,042,
456,734,422,604,968,636,629,411,849,940,863,002,831,683,557,803,411,658,054,
299,639,073,622,392,192,977,082,704,363,901,456,893,929,175,771,402,841,582,
431,014,053,038,877,204,046,657,231,968,275,452,807,176,147,282,608,895,342,
484,240,758,198,705,762,583,234,896,706,459,400,938,312,145,632,118,616,002,
850,060,364,596,933,698,082,338,662,971,896,268,628,181,762,098,443,749,106,
013,898,979,291,948,486,563,844,806,229,240,319,974,307,548,008,132,850,279,
494,875,261,568,377,049,099,760,308,984,902,224,057,726,413,754,062,500,149,
803,194,643,222,068,246,537,049,687,165,387,552,737,817,579,773,410,747,434,
325,827,335,726,964,163,685,533,502,451,317,165,985,115,626,572,262,623,735,
738,042,126,878,162,180,019,304,908,822,320,456,386,683,254,070,822,371,998,
269,790,563,582,112,172,350,224,059,941,828,297,055,758,571,186,973,760,602,
327,452,160,945,170,732,761,075,122,231,354,124,179,468,739,467,151,371,955,
162,176,461,594,100,100,419,770,004,587,474,941,257,901,441,099,957,492,730,
501,392,062,947,762,286,034,711,391,545,781,284,934,026,193,565,913,087,199,
570,568,247,321,610,318,803,176,589,265,444,899,748,278,323,273,364,149,507,
812,331,224,205,809,129,458,624,730,008,944,949,097,380,058,266,045,015,922,
029,322,846,638,126,847,457,685,041,727,872,833,874,769,636,052,133,656,603,
059,538,404,084,967,448,557,578,290,869,182,620,518,040,314,742,867,263,926,
800,719,625,032,995,143,579,523,276,876,501,138,253,162,507,707,010,318,387,
304,645,128,807,317,345,231,280,569,790,297,113,355,635,746,509,903,903,186,
523,252,835,895,022,030,450,984,080,451,697,946,438,826,039,642,114,999,784,
241,380,818,296,815,922,209,400,657,697,585,774,974,744,358,913,840,810,537,
933,889,310,702,506,459,677,798,680,360,959,639,883,781,614,528,979,163,687,
449,775,370,605,189,574,537,075,863,654,243,384,502,716,409,874,504,341,386,
817,878,382,307,152,521,748,248,674,454,139,315,189,057,119,866,291,514,629,
974,734,823,772,207,392,021,235,822,920,599,153,193,745,667,200,480,730,868,
392,054,224,115,845,972,559,260,376,274,598,252,702,061,379,032,980,875,422,
768,967,865,003,601,082,637,946,146,073,423,231,614,484,575,090,911,698,084,
445,722,100,561,715,447,790,055,758,460,635,421,509,126,722,672,538,931,526,
037,294,455,088,110,369,861,361,435,685,764,207,915,401,189,285,699,128,224,
055,387,204,862,780,774,497,893,971,367,016,313,883,902,813,666,574,634,508,
117,214,128,619,090,684,722,356,017,949,615,141,493,911,415,717,454,871,477,
606,881,299,603,786,506,018,181,425,000,803,977,477,169,383,916,342,459,983,
470,980,951,192,159,964,506,817,468,491,194,371,142,515,473,041,804,270,460,
956,689,547,226,042,962,196,992,981,783,516,283,860,614,554,878,432,000,647,
811,191,740,651,145,573,232,423,546,132,596,440,474,655,890,033,601,076,391,
493,237,195,142,419,322,976,919,719,739,478,362,927,911,869,090,374,176,377,
124,873,396,873,271,289,283,139,935,742,812,640,377,619,508,597,591,101,128,
859,727,139,074,040,253,414,288,187,027,561,811,979,607,106,890,749,252,887,
954,721,626,292,097,975,981,648,742,801,139,680,257,606,938,257,826,459,385,
680,126,053,476,814,510,772,199,208,848,310,770,408,029,004,631,255,171,982,
069,176,928,985,050,398,056,183,746,148,647,151,354,376,104,094,374,065,022,
595,171,831,853,416,318,499,560,312,068,494,860,307,828,139,661,444,603,673,
377,932,670,723,469,568,272,897,847,771,472,599,282,800,763,101,657,035,501,
954,666,518,092,254,907,317,323,477,325,730,912,728,299,536,155,416,987,108,
130,224,038,144,560,394,202,906,275,530,550,743,317,265,001,428,267,288,527,
606,461,590,413,309,903,159,381,872,911,155,556,115,057,620,971,563,219,390,
381,424,574,146,460,063,855,850,534,945,714,521,459,361,028,132,674,401,155,
911,303,850,031,656,161,172,153,725,283,225,610,393,328,957,131,132,149,388,
041,320,515,765,509,186,421,148,771,499,175,203,046,604,114,898,116,102,964,
599,083,784,099,922,552,201,106,429,414,423,315,588,494,942,770,314,611,675,
415,195,994,193,699,771,694,660,763,653,448,768,970,919,456,602,010,411,718,
254,229,564,580,706,965,395,586,672,446,880,199,346,520,913,139,696,631,669,
081,520,477,624,046,473,431,016,829,515,669,263,024,087,683,070,016,901,548,
179,309,604,666,893,977,962,603,546,434,967,805,975,062,632,951,769,159,628,
521,012,183,954,277,733,267,824,056,985,529,816,081,659,279,509,714,225,597,
922,191,067,599,513,227,043,666,164,664,844,884,762,056,805,994,366,150,358,
696,013,768,431,754,992,670,306,404,061,883,722,188,407,132,005,977,631,090,
598,680,052,612,232,200,571,207,318,467,844,460,434,767,549,694,147,553,873,
517,030,695,967,883,382,471,804,729,846,927,321,850,092,135,916,551,502,449,
719,014,471,512,749,086,701,172,682,187,588,197,782,666,238,766,682,861,697,
824,150,556,126,322,623,155,733,629,226,002,472,575,318,270,542,533,633,897,
199,837,329,725,703,975,981,145,598,418,511,063,168,255,648,296,633,382,827,
760,541,636,902,140,552,085,778,479,141,403,788,797,035,269,377,262,309,178,
720,300,872,371,077,564,635,971,908,570,035,149,597,141,802,750,805,071,007,
628,519,984,947,013,724,757,192,432,731,773,212,611,479,051,755,358,394,644,
859,868,037,890,312,309,970,742,911,119,154,016,992,330,634,001,065,532,496,
633,110,558,010,129,955,791,253,098,536,080,502,622,986,671,358,805,242,045,
418,252,553,709,223,582,981,204,310,916,340,389,155,745,101,012,940,565,035,
711,380,087,434,790,519,502,480,041,614,068,546,616,520,601,214,228,887,441,
883,696,692,337,835,205,650,816,113,041,826,651,471,185,824,978,265,616,392,
622,362,050,918,713,914,563,122,219,542,392,700,871,199,942,234,457,051,841,
806,491,831,330,030,568,330,092,356,578,627,466,392,595,238,842,941,869,678,
774,128,424,710,464,396,229,540,444,491,777,368,611,409,875,769,829,193,614,
991,093,990,826,436,116,335,608,951,028,799,454,802,347,957,376,231,691,379,
552,408,657,209,983,253,557,577,603,755,409,828,339,631,170,553,667,919,026,
828,305,017,291,198,809,639,063,843,067,070,830,379,946,271,789,366,410,749,
270,641,655,597,214,949,334,301,792,546,039,547,578,389,464,854,811,918,913,
043,335,531,764,033,719,703,306,999,331,537,511,492,819,309,632,127,020,764,
440,903,303,528,136,018,602,881,726,464,370,232,446,762,638,267,676,737,294,
900,255,075,901,162,876,421,314,224,714,085,889,957,982,605,300,795,086,963,
377,844,056,291,662,428,841,694,958,281,325,041,640,426,427,148,446,474,082,
456,426,663,901,365,908,663,148,828,884,452,856,065,242,197,264,811,264,795,
674,435,280,293,000,612,053,549,595,980,212,064,553,987,859,941,980,172,815,
147,364,446,599,813,365,444,527,235,403,874,186,925,931,640,385,806,168,613,
906,613,636,261,227,166,771,434,347,228,103,457,442,417,333,160,158,099,741,
376,934,149,175,488,684,365,349,542,101,169,952,809,755,987,473,211,308,401,
656,516,033,903,589,002,263,293,686,332,655,863,710,628,151,061,254,415,134,
770,345,689,908,189,374,605,668,547,571,063,923,015,455,901,148,129,161,095,
816,364,249,222,342,498,000,453,186,904,346,710,341,850,460,290,099,432,176,
413,618,967,456,264,411,572,235,988,890,602,004,769,186,055,861,087,364,850,
086,836,848,818,274,985,553,180,977,458,374,199,069,309,884,496,090,729,378,
686,737,337,879,925,417,645,238,921,679,981,213,429,845,212,796,160,079,243,
580,515,443,373,115,409,945,649,002,370,048,551,426,167,281,590,692,483,662,
998,969,932,693,388,422,360,181,449,522,544,893,912,414,821,600,530,561,662,
768,373,213,571,034,096,345,726,629,899,332,920,463,990,094,452,048,364,912,
921,403,552,316,496,317,232,640,531,354,816,549,407,355,370,150,934,610,592,
215,176,611,327,671,081,972,895,560,060,845,105,216,797,367,007,341,384,116,
124,650,387,917,417,839,985,480,564,209,510,751,156,342,345,233,966,857,401,
927,100,824,733,551,352,375,747,834,629,609,930,346,928,456,949,277,848,301,
889,576,631,275,489,650,153,348,929,750,149,995,272,174,227,815,966,696,460,
460,809,715,215,981,453,529,403,005,110,316,248,996,360,302,798,919,781,022,
871,615,028,820,464,514,147,529,633,666,803,935,383,533,399,404,565,416,041,
291,285,006,685,595,983,485,753,373,526,647,474,124,891,177,830,292,021,018,
408,619,355,712,497,575,501,658,114,732,511,941,084,889,565,149,848,986,512,
970,117,409,609,802,334,597,945,703,931,431,529,222,371,667,369,668,284,728,
226,872,698,798,228,531,055,175,515,486,759,214,822,281,813,281,173,493,659,
105,812,736,874,804,048,100,703,924,490,302,383,060,367,726,000,555,748,543,
797,699,126,510,107,571,038,429,115,110,578,524,598,348,121,140,030,268,245,
146,068,242,830,056,825,373,459,678,083,322,528,569,611,932,747,687,499,331,
622,725,503,052,261,056,309,838,516,315,998,209,177,235,733,497,010,484,237,
475,144,572,883,984,736,994,152,557,052,083,212,360,071,446,374,267,627,168,
180,828,111,126,134,386,654,529,138,241,895,263,080,365,208,318,831,215,954,
614,872,148,480,895,250,775,598,503,905,399,463,205,714,379,141,927,707,695,
833,033,396,140,673,719,509,049,414,373,884,287,028,718,043,209,135,167,595,
932,950,783,903,129,666,713,519,040,862,944,447,408,024,281,602,067,251,782,
919,096,125,493,149,002,799,544,096,401,291,731,372,706,150,959,138,275,019,
689,160,611,980,858,534,202,702,021,861,508,158,978,005,304,577,368,658,547,
578,793,204,705,581,513,028,587,986,039,460,032,723,712,259,621,716,270,212,
786,594,974,632,124,117,137,309,749,856,256,547,516,153,481,206,782,615,977,
003,561,310,788,450,604,221,048,258,712,505,154,055,749,943,125,265,674,934,
121,655,348,602,411,445,923,954,499,117,156,309,547,527,231,084,520,860,912,
458,303,834,021,721,186,494,196,936,294,378,449,067,909,474,689,799,131,948,
436,612,201,672,749,139,596,937,717,657,723,621,859,009,942,444,419,410,312,
279,305,032,893,264,571,082,057,529,895,605,735,617,947,828,414,700,525,724,
043,288,524,210,403,292,387,692,412,146,856,327,766,915,220,192,896,370,460,
419,260,566,012,827,287,564,405,920,588,543,366,166,301,599,230,109,213,456,
470,130,359,492,341,153,902,662,525,025,264,562,504,193,586,356,098,755,407,
438,344,992,855,958,363,686,322,381,532,628,284,968,013,271,471,232,319,152,
372,646,382,039,149,237,109,035,003,022,480,873,492,609,813,656,974,867,132,
659,984,289,142,105,141,322,109,403,227,835,645,867,538,130,947,970,343,189,
219,008,176,650,886,653,381,634,443,687,955,778,559,921,244,820,198,010,731,
740,705,147,528,280,370,060,667,124,506,017,005,940,233,178,184,887,360,138,
423,336,291,305,535,385,734,166,696,021,670,220,217,230,465,831,046,037,048,
839,473,850,070,682,899,229,769,799,722,256,539,219,218,001,760,855,566,279,
336,897,373,526,333,071,903,173,129,750,676,015,797,080,685,125,981,471,272,
947,865,130,753,437,570,565,955,950,611,223,995,535,279,558,454,523,260,202,
825,486,963,461,168,075,179,823,480,394,811,450,240,413,339,745,207,552,299,
173,963,739,342,205,642,140,194,542,653,490,432,582,326,344,941,102,886,109,
177,477,872,279,363,842,254,086,839,994,036,189,678,606,908,578,314,866,087,
703,572,542,958,466,081,321,621,200,348,475,259,306,346,093,592,104,155,842,
847,142,614,672,266,274,706,776,943,066,086,297,165,854,818,871,952,573,536,
105,764,231,892,595,900,748,318,658,543,546,558,868,595,727,088,573,670,909,
369,249,858,080,516,196,301,174,150,221,668,832,624,644,181,303,726,425,654,
220,672,103,667,705,593,464,518,631,598,762,125,051,671,049,110,116,981,705,
753,707,037,833,629,575,604,529,018,250,836,267,494,122,965,023,073,473,495,
015,565,721,341,615,973,866,509,203,337,390,983,017,802,693,822,746,593,209,
652,664,756,111,578,270,426,816,126,944,828,554,937,703,092,264,648,254,629,
762,890,822,191,315,085,832,560,133,279,369,753,111,644,085,834,992,622,158,
465,193,717,881,045,518,245,674,659,127,292,568,237,671,550,175,398,533,102,
527,299,419,567,734,877,806,416,149,117,373,748,428,581,129,865,176,132,871,
736,907,601,890,829,469,094,523,891,601,934,788,133,276,870,413,717,176,020,
748,915,822,641,376,352,225,414,200,239,200,944,029,446,462,880,985,073,041,
753,666,487,566,565,968,754,815,421,623,808,538,341,732,049,324,440,712,005,
257,896,547,310,732,482,405,561,809,683,956,154,021,621,449,531,662,676,300,
449,166,308,284,239,375,269,042,490,085,851,323,988,327,797,363,596,784,514,
555,855,822,469,668,226,890,969,694,272,158,882,904,581,532,037,185,162,745,
078,749,460,352,090,005,796,338,869,470,376,308,180,192,857,093,166,334,081,
336,502,457,758,895,926,753,297,242,793,149,019,745,428,331,058,026,242,214,
026,898,120,660,195,169,629,284,097,535,946,642,678,014,660,239,541,897,827,
531,780,332,944,829,974,144,801,459,233,449,584,382,700,144,103,620,032,422,
920,467,809,804,756,569,809,182,665,555,406,559,055,773,304,647,993,477,285,
655,621,201,546,423,858,636,553,544,210,793,303,794,556,512,009,844,127,654,
769,049,874,472,668,451,096,979,081,960,890,955,238,641,937,143,104,747,093,
277,125,815,245,619,868,873,720,042,893,304,910,415,386,971,798,723,010,288,
616,253,962,885,459,607,307,466,222,144,176,754,411,597,374,195,893,978,109,
655,743,106,198,218,063,647,240,803,566,903,028,319,324,741,849,651,701,137,
938,666,501,684,838,954,756,771,141,524,270,445,187,200,273,991,189,037,695,
379,140,263,167,534,604,252,291,170,769,560,660,273,562,557,009,292,509,303,
158,358,252,302,159,647,247,162,515,994,142,851,841,377,051,634,588,899,320,
665,663,484,225,981,693,395,216,620,380,149,533,071,739,982,120,447,404,558,
117,915,684,421,927,971,128,507,403,738,007,009,159,645,894,970,535,342,788,
719,399,439,850,882,921,634,179,254,074,745,884,133,144,968,256,256,306,716,
128,106,424,104,100,551,865,588,650,103,185,570,156,767,547,744,240,450,230,
240,802,946,427,448,919,625,459,334,061,602,652,568,469,677,478,342,132,617,
754,877,210,777,010,186,586,801,240,752,062,630,559,196,143,096,531,301,470,
390,225,780,443,934,068,663,929,970,954,395,492,348,037,697,000,650,923,309,
263,628,367,519,268,831,367,389,451,720,324,681,141,130,877,891,568,318,966,
643,421,117,540,990,798,163,923,139,231,999,001,103,058,109,046,085,259,388,
413,501,066,330,953,719,766,045,050,270,268,260,819,439,037,242,847,413,146,
973,443,141,333,591,497,403,949,274,337,406,842,070,836,759,150,556,290,752,
967,348,282,974,615,789,489,588,110,332,481,481,957,780,760,751,585,553,726,
531,676,306,247,178,099,081,992,399,430,044,261,240,868,300,866,773,652,719,
469,502,245,675,240,761,083,067,847,790,570,730,001,867,024,851,137,581,767,
048,108,337,199,997,440,419,802,743,879,016,117,190,618,699,157,096,222,680,
170,419,164,093,883,884,697,743,125,791,096,589,586,441,075,492,306,314,223,
847,604,752,459,636,535,061,273,490,981,613,562,692,808,491,984,174,692,057,
426,344,602,799,510,022,764,522,065,860,333,739,148,594,567,776,136,895,810,
337,540,616,246,693,842,209,177,759,595,426,379,135,622,322,468,722,210,170,
931,301,970,785,199,041,675,489,173,303,382,738,798,872,144,064,409,176,949,
873,876,293,729,916,353,493,344,993,898,660,181,664,121,981,987,742,000,963,
597,540,628,270,541,601,873,028,862,258,939,840,762,228,007,345,097,661,502,
693,370,704,061,958,056,813,552,159,651,898,937,898,968,156,596,805,395,459,
703,700,802,610,141,194,196,171,161,397,163,925,934,029,947,501,075,232,773,
932,095,381,107,152,289,473,768,907,500,495,773,710,209,650,320,475,646,785,
645,211,040,319,086,279,308,954,551,965,344,096,143,436,863,030,074,287,041,
555,951,840,498,874,726,393,832,579,382,558,629,017,637,355,790,604,206,615,
294,321,367,743,555,320,548,410,764,402,912,710,145,527,921,205,199,770,742,
505,467,392,577,636,458,909,153,239,582,482,499,308,853,200,043,701,767,087,
411,444,632,597,866,285,946,453,795,651,845,544,501,793,163,091,059,694,153,
721,392,165,028,853,301,721,547,716,767,935,693,288,608,525,245,004,907,995,
315,120,840,368,328,436,428,011,396,936,216,124,012,356,291,404,743,221,986,
539,434,555,869,991,034,821,046,318,824,680,307,565,897,422,280,143,509,281,
196,129,419,178,166,303,162,459,420,329,507,749,590,122,285,014,922,423,209,
358,345,869,194,361,573,456,701,605,492,093,099,114,828,152,979,141,712,130,
554,051,445,117,106,875,496,811,132,262,436,970,012,156,876,943,584,416,491,
372,047,406,482,567,027,511,033,407,224,429,383,409,555,402,843,869,952,712,
722,149,875,973,323,969,392,145,972,430,879,779,142,200,885,471,908,491,087,
232,101,099,988,947,708,404,811,976,952,995,331,901,983,128,061,048,149,861,
299,323,405,268,862,381,602,772,224,981,965,396,262,680,611,476,573,741,161,
254,655,001,749,095,758,950,139,330,069,879,819,511,245,310,665,445,887,373,
163,766,721,094,540,434,873,679,078,755,312,678,590,272,277,153,188,185,807,
993,989,526,307,373,977,495,252,895,810,989,749,086,215,001,959,426,051,080,
027,632,968,346,292,256,458,447,357,330,020,882,777,866,774,930,455,881,375,
915,009,282,571,465,589,961,962,468,454,752,888,816,852,804,720,108,623,347,
109,809,166,261,866,966,234,034,292,853,462,063,365,732,655,312,300,436,185,
051,831,097,187,122,766,631,039,295,438,977,179,429,978,531,351,615,427,072,
807,297,549,922,502,748,630,521,771,741,388,405,944,832,933,060,956,632,053,
766,707,634,665,941,523,403,600,693,828,821,084,726,396,017,631,390,114,328,
517,995,487,362,990,862,598,695,650,630,322,436,843,655,620,515,594,096,595,
096,570,599,502,271,685,981,462,109,492,477,642,278,611,529,292,767,427,914,
193,746,205,326,838,766,455,092,043,330,683,720,470,214,098,615,921,135,358,
294,241,946,705,215,989,060,336,730,840,952,204,276,854,085,545,444,261,457,
262,071,522,436,567,816,895,897,441,711,873,412,052,191,996,903,109,133,928,
840,376,640,116,538,969,681,297,099,910,868,986,446,975,249,074,693,250,931,
174,649,795,124,225,590,812,695,745,860,507,400,392,691,466,209,357,147,724,
893,139,509,049,420,108,957,921,090,613,211,260,796,249,811,587,512,471,187,
422,904,255,843,124,510,424,924,061,049,261,118,108,715,427,600,089,715,176,
989,952,997,433,525,249,305,936,909,060,203,552,231,346,232,519,188,533,908,
691,721,716,303,508,413,968,064,382,382,838,514,181,372,743,226,933,892,528,
002,502,432,853,815,764,078,146,369,157,338,567,551,761,423,097,952,535,185,
159,434,471,084,793,785,922,593,898,941,213,265,318,662,261,726,864,652,006,
781,386,251,363,702,018,189,734,874,846,716,555,388,466,748,371,604,806,073,
118,438,286,657,511,549,020,680,378,002,835,910,149,384,051,349,454,792,766,
757,166,958,486,474,838,600,847,795,314,393,503,978,417,256,453,017,369,343,
534,349,167,111,332,921,358,596,806,348,807,444,420,286,700,139,251,581,141,
920,195,752,728,872,150,357,252,255,477,994,146,703,842,642,991,121,660,055,
907,811,048,510,160,050,726,584,893,573,221,867,791,476,959,257,368,359,284,
463,518,082,307,866,365,217,980,583,234,575,567,250,984,910,905,258,127,630,
046,216,858,258,553,125,029,389,457,118,782,348,588,978,085,642,736,457,721,
440,812,902,106,925,149,354,185,799,954,837,205,770,094,808,960,449,093,087,
489,930,291,431,569,259,712,491,833,330,151,554,076,285,717,771,504,282,061,
561,376,242,925,902,611,045,849,787,630,795,364,201,034,138,494,945,378,013,
171,442,390,569,088,612,306,673,916,186,909,421,783,379,154,761,486,030,811,
251,703,113,330,261,630,177,138,252,068,467,426,559,775,747,480,615,726,009,
345,511,246,902,375,621,340,809,425,694,366,150,579,898,565,680,238,231,370,
101,125,376,507,118,277,015,344,159,368,787,479,523,057,915,556,793,295,324,
940,250,682,054,800,150,910,588,791,195,678,839,218,817,506,014,580,732,530,
593,426,112,741,461,338,871,012,292,845,479,346,645,030,377,301,487,266,256,
899,554,390,295,112,204,569,254,778,634,363,514,237,819,096,630,403,250,346,
824,017,082,321,648,641,448,552,985,207,429,510,089,163,239,160,157,465,504,
439,452,153,816,929,731,899,724,032,133,119,435,395,935,637,302,664,081,175,
982,754,495,393,810,260,642,624,031,675,097,928,981,598,861,843,859,981,867,
294,226,139,541,659,217,002,316,280,908,213,389,659,867,743,129,684,805,857,
836,467,211,886,268,563,986,738,132,748,358,557,696,719,134,465,809,195,721,
504,053,118,000,261,727,669,426,512,017,067,631,748,498,379,997,480,337,495,
004,906,058,089,052,291,042,446,030,613,905,717,475,769,773,863,858,899,714,
571,718,396,088,223,196,990,923,721,262,082,808,673,087,756,941,132,859,190,
282,593,412,895,958,414,929,878,105,676,003,315,524,114,857,005,827,068,428,
618,508,510,303,097,194,582,485,787,347,935,704,114,230,635,479,219,799,819,
299,604,502,677,457,270,258,589,572,755,042,355,517,333,134,537,318,467,486,
996,704,687,345,023,458,246,590,818,299,074,593,588,411,845,783,751,711,712,
340,858,793,497,177,964,990,709,792,726,280,518,871,842,592,490,652,731,531,
592,868,908,966,007,956,029,407,701,613,819,927,295,524,205,999,996,558,753,
310,611,121,547,674,841,253,063,832,282,076,478,282,943,868,810,589,600,607,
795,529,885,452,424,999,543,446,618,662,874,563,225,250,089,861,086,610,538,
533,253,213,966,958,973,298,732,283,670,835,872,737,736,787,093,902,989,473,
225,294,798,985,660,406,507,395,706,327,107,175,439,413,495,651,753,718,845,
549,332,576,267,400,947,298,035,003,422,525,600,466,036,034,586,052,736,104,
592,289,096,823,648,261,347,303,460,875,111,047,744,296,396,133,249,766,224,
697,627,012,885,616,517,263,253,389,578,912,886,759,509,316,457,420,532,071,
157,698,763,301,860,797,536,346,006,919,735,770,201,603,790,217,633,862,627,
208,318,599,489,309,848,693,823,355,939,112,771,576,720,171,778,147,897,708,
953,675,183,147,756,482,233,687,227,192,362,677,932,338,294,405,213,723,420,
089,132,053,640,957,291,904,303,379,611,082,055,664,647,637,110,827,921,559,
046,151,559,836,753,880,548,142,308,715,724,870,029,552,758,419,195,467,882,
725,070,939,268,301,093,650,677,180,902,592,619,892,162,454,837,474,302,854,
941,946,734,226,822,352,015,910,986,494,591,522,383,640,705,121,034,959,806,
826,347,578,275,260,878,410,841,667,321,063,980,452,376,204,926,952,719,366,
406,616,772,463,194,660,069,131,791,117,948,019,354,610,633,827,663,290,455,
935,790,660,522,517,907,891,053,320,816,852,739,494,483,331,011,336,348,114,
476,774,597,177,973,366,130,964,973,947,212,484,258,677,501,588,124,474,573,
207,125,074,000,568,511,955,418,725,072,331,271,114,747,869,708,784,351,452,
629,964,631,098,859,042,679,358,212,034,544,673,153,639,497,024,007,991,181,
728,202,266,596,346,286,080,077,080,259,940,531,166,873,846,874,641,271,294,
284,678,253,485,281,908,610,411,600,127,305,731,871,595,613,982,906,818,741,
285,318,664,611,082,561,280,271,155,014,113,928,454,397,414,109,411,898,652,
134,001,386,423,090,443,283,149,647,807,457,108,612,955,665,745,602,669,243,
463,863,696,474,278,708,836,787,411,960,706,114,833,975,644,871,330,168,315,
563,862,434,164,938,313,060,591,792,768,109,993,597,835,911,483,300,008,906,
196,608,235,227,066,346,142,325,023,900,272,738,578,909,566,973,880,706,774,
684,769,637,846,960,091,687,417,994,855,174,792,188,340,925,957,663,687,711,
192,824,890,531,211,504,366,059,290,769,338,903,393,367,499,238,726,881,103,
179,747,689,234,536,462,705,633,386,579,304,773,237,650,099,343,368,532,902,
781,544,433,170,096,264,682,921,198,225,359,604,750,294,348,608,114,336,811,
163,508,161,367,545,442,471,872,268,456,036,499,318,349,076,244,085,430,033,
552,035,574,641,830,498,772,781,031,833,431,619,266,198,422,604,289,008,538,
027,538,307,870,329,262,400,656,621,570,458,993,935,101,298,897,770,152,729,
059,179,103,816,794,551,129,088,745,591,137,694,143,874,442,024,288,411,906,
362,462,879,436,336,376,919,518,301,483,660,079,012,632,399,978,713,031,002,
949,633,917,365,480,012,688,851,600,244,963,464,880,975,814,843,389,422,789,
651,921,832,663,797,349,239,323,182,892,402,185,673,533,656,107,021,153,975,
128,134,687,821,593,693,513,857,508,931,226,646,486,511,353,637,318,961,826,
456,867,495,399,487,831,894,469,923,184,622,532,243,907,876,806,556,939,682,
258,206,826,295,344,198,155,650,268,526,633,547,190,624,526,105,984,442,684,
734,390,851,388,781,035,205,991,848,857,915,932,380,979,818,139,496,056,575,
308,730,434,200,216,564,180,157,446,060,261,319,306,458,625,577,356,832,395,
190,853,627,431,368,685,591,382,435,464,106,054,488,219,325,867,703,739,896,
430,106,397,760,838,324,463,485,264,037,572,223,582,289,101,184,292,503,703,
785,176,670,564,245,642,710,338,371,583,055,756,576,090,042,819,629,704,188,
524,150,995,167,877,094,604,217,262,787,812,231,471,241,100,372,137,013,962,
246,557,465,933,871,715,724,527,196,673,077,151,043,116,393,359,315,299,407,
209,448,098,596,370,993,022,165,779,360,310,213,207,270,363,437,807,597,988,
906,953,930,416,019,271,577,920,122,764,367,311,368,515,128,498,278,030,965,
012,128,601,285,803,695,815,535,794,220,266,760,252,811,670,290,324,456,041,
189,296,888,929,647,739,190,484,881,414,420,418,405,918,734,432,608,979,897,
710,758,852,981,613,572,553,966,626,279,488,974,966,721,455,567,207,572,590,
782,016,474,231,457,972,957,223,533,912,741,370,862,613,777,968,768,155,050,
575,608,012,906,095,221,388,368,811,346,134,306,828,253,237,510,287,413,796,
501,135,691,072,645,169,250,200,075,748,236,719,440,370,380,904,448,066,588,
162,025,403,554,303,072,445,753,822,879,447,354,565,068,359,443,612,047,848,
488,742,539,122,597,128,383,168,051,518,944,170,362,114,721,211,799,300,959,
172,055,669,734,994,753,916,504,854,017,558,871,080,091,805,558,834,660,151,
607,062,398,523,225,459,790,989,705,978,855,296,371,982,087,836,192,302,531,
044,206,738,957,730,961,729,554,136,545,646,628,952,922,719,827,254,318,846,
003,993,556,163,239,319,937,232,926,726,549,629,224,797,284,631,700,113,107,
508,430,965,149,370,954,465,792,211,963,672,962,309,569,325,384,607,469,663,
043,581,149,843,774,872,330,214,252,321,669,276,323,591,657,471,056,877,453,
110,625,702,249,753,836,362,539,759,569,240,580,610,332,018,418,536,300,775,
886,781,860,797,482,038,248,144,472,563,237,048,420,929,077,886,029,748,122,
004,162,503,812,657,372,481,021,188,447,754,510,373,046,191,870,432,561,713,
557,474,840,432,386,745,239,137,883,467,252,272,281,102,684,975,049,409,975,
346,375,398,516,537,936,453,537,894,863,174,802,665,311,876,085,169,606,627,
837,497,036,142,003,728,250,867,469,814,641,934,792,373,704,218,759,337,221,
918,603,034,546,150,015,595,298,071,909,319,127,675,489,939,842,608,180,376,
293,132,967,819,850,413,606,184,304,711,739,435,542,364,620,046,313,560,489,
649,637,020,994,313,209,754,465,475,898,808,697,585,313,520,149,970,955,112,
791,549,901,992,202,007,047,401,760,876,341,697,531,276,725,631,792,572,816,
032,200,011,912,864,962,721,854,022,511,259,966,743,034,975,554,246,338,464,
220,450,548,523,515,471,226,223,095,141,687,052,605,473,100,237,317,358,159,
708,734,445,112,466,913,585,537,052,712,553,494,323,797,468,137,861,802,761,
659,355,312,492,617,637,511,539,123,651,439,668,188,320,426,737,670,950,456,
058,129,062,285,513,265,988,075,066,170,930,265,841,070,059,173,595,078,934,
209,425,553,602,788,264,404,710,966,934,685,693,195,362,108,384,822,997,484,
506,316,265,241,259,997,212,615,318,953,250,403,962,963,300,477,775,680,219,
459,055,866,396,359,608,363,894,531,788,982,278,738,590,526,645,757,998,845,
311,733,425,313,868,927,880,678,662,649,080,831,297,964,043,090,016,576,387,
778,026,578,863,187,858,836,804,008,454,917,918,608,133,258,962,306,594,164,
408,594,606,138,208,236,178,961,134,503,355,105,475,586,642,222,060,097,922,
441,921,866,576,244,128,518,991,832,451,555,994,777,388,814,247,173,536,699,
647,109,934,969,151,481,719,712,361,902,398,259,738,073,886,600,762,367,354,
961,035,962,532,133,559,004,968,835,089,986,745,436,843,420,218,651,526,685,
259,332,541,672,564,791,309,555,071,769,300,190,811,276,946,225,697,694,738,
933,623,010,864,301,647,151,382,918,847,996,855,573,519,900,070,217,743,072,
862,814,937,769,265,416,797,191,810,609,664,957,934,260,075,772,388,130,467,
367,774,393,310,083,376,349,232,806,019,103,323,046,666,651,333,284,231,169,
022,601,867,565,545,099,599,667,525,162,145,771,143,638,022,798,383,106,311,
966,811,319,063,911,201,383,056,630,037,069,936,568,126,547,765,966,632,726,
217,797,880,176,132,371,298,910,481,574,148,988,189,047,958,109,153,275,605,
050,207,832,295,325,177,328,289,547,535,986,916,108,172,038,943,072,046,485,
584,403,285,978,831,975,217,698,950,622,930,829,922,681,482,278,203,229,056,
503,176,427,523,409,662,126,339,293,215,187,782,622,764,320,447,169,389,022,
002,866,598,811,446,417,006,068,920,529,090,821,087,449,046,362,180,452,377,
696,760,716,459,245,758,071,240,364,864,154,645,863,133,693,174,303,899,494,
017,059,233,384,398,199,359,441,665,156,062,376,119,013,844,136,292,291,865,
494,115,890,784,969,740,184,988,542,972,778,761,444,805,703,357,863,103,924,
578,449,155,407,045,016,033,694,408,216,021,378,280,958,334,541,423,572,004,
911,884,164,081,818,528,814,600,325,044,611,361,646,476,845,993,747,133,923,
718,938,305,491,402,352,423,703,125,201,582,669,514,197,278,053,579,401,117,
001,373,646,771,310,513,156,263,558,495,010,429,160,068,585,132,922,478,253,
687,276,322,572,951,338,054,771,438,183,734,672,534,353,129,297,495,038,456,
355,606,966,645,637,639,751,648,287,033,009,444,548,190,161,398,256,023,045,
252,696,184,526,528,677,787,897,488,430,965,200,415,875,819,078,786,143,508,
049,556,270,048,180,667,027,678,037,359,844,253,967,680,622,800,550,190,071,
667,140,969,344,270,931,767,134,383,373,951,356,650,361,083,230,044,580,614,
924,442,870,645,157,923,161,141,743,326,975,523,347,182,804,048,238,886,872,
422,732,780,840,617,233,512,603,273,885,477,360,197,885,883,641,129,274,989,
153,134,984,224,912,638,655,821,166,162,347,204,442,667,400,329,847,436,719,
660,277,325,154,530,785,668,270,949,497,713,709,295,065,777,807,504,936,928,
835,724,781,512,098,393,591,500,118,315,986,830,092,173,116,860,394,409,655,
611,018,893,519,320,052,442,873,891,465,182,752,769,185,619,803,188,030,731,
971,805,610,805,057,699,206,925,380,783,317,536,209,723,396,321,435,063,722,
977,010,100,450,104,481,795,393,903,877,627,962,955,929,680,869,507,098,657,
767,952,808,714,309,447,432,286,325,003,858,319,358,587,150,325,270,027,360,
067,036,131,921,625,660,437,605,086,473,667,295,594,897,250,778,354,340,277,
618,788,093,621,590,373,485,502,295,928,852,787,433,885,042,499,874,780,161,
518,796,827,229,643,218,015,528,626,887,090,115,954,287,382,916,114,075,079,
160,103,174,757,514,495,905,415,456,492,848,671,039,480,528,696,988,725,267,
319,061,558,050,714,348,072,186,433,823,402,448,983,182,798,239,593,565,291,
427,714,071,613,705,531,164,472,684,889,513,901,707,209,514,017,679,684,069,
653,733,290,013,170,763,842,632,819,923,803,581,994,129,276,029,763,213,629,
405,216,223,782,147,163,226,863,783,635,267,984,456,547,355,942,167,623,545,
678,237,005,980,501,513,676,076,729,549,042,334,631,708,337,423,475,699,653,
706,226,331,630,650,216,444,366,361,798,232,609,068,506,557,598,912,386,321,
604,440,478,189,778,759,716,701,140,246,608,907,311,469,885,293,770,799,129,
814,009,955,020,698,382,749,141,180,001,407,476,190,967,425,209,972,579,598,
379,525,971,794,925,731,237,485,489,404,413,507,380,131,073,552,944,674,048,
748,909,703,817,521,569,745,053,504,628,612,500,632,237,941,567,990,217,011,
103,832,648,648,859,650,120,776,481,236,711,197,217,313,277,650,191,770,774,
525,695,165,431,644,412,383,063,253,423,464,226,844,506,191,433,016,838,261,
894,820,499,541,642,079,378,702,484,752,019,281,293,033,873,095,064,068,028,
688,930,448,799,999,709,220,779,873,201,829,993,317,882,535,890,624,244,086,
696,916,213,122,282,787,859,633,454,333,866,798,333,614,237,970,767,364,774,
194,557,962,755,684,307,030,964,496,935,119,904,586,167,529,921,891,101,099,
387,801,264,718,171,179,908,732,741,906,826,454,399,091,857,150,910,307,200,
422,951,905,276,156,639,537,803,402,191,517,474,565,770,405,954,820,751,319,
682,024,451,310,255,252,760,060,147,861,953,636,303,318,692,635,280,012,673,
716,567,780,983,862,940,038,938,289,868,864,982,767,143,046,552,971,232,799,
163,108,749,131,924,197,469,148,460,155,804,310,182,859,781,588,209,918,051,
560,861,446,258,898,063,843,956,032,314,829,466,134,678,004,836,068,611,682,
593,631,152,229,178,890,168,694,310,633,238,718,363,016,382,554,053,127,771,
788,215,901,936,031,769,678,872,043,387,394,702,964,901,702,033,203,661,229,
382,499,052,250,338,450,139,215,377,041,879,347,259,730,041,300,369,381,221,
185,282,389,481,657,698,434,434,486,674,821,861,277,946,545,155,718,086,553,
485,587,111,868,260,381,827,154,560,769,332,871,836,340,359,373,053,509,192,
957,338,829,684,135,440,834,787,087,256,595,967,656,913,457,897,761,939,324,
393,195,396,384,298,381,415,045,987,143,279,100,627,958,763,873,942,709,552,
833,792,649,305,714,076,579,254,312,624,288,129,952,961,278,736,919,849,070,
176,164,967,459,240,280,286,799,881,049,175,497,962,462,090,594,613,960,404,
238,744,062,928,403,993,068,971,011,709,021,279,109,432,108,149,702,605,627,
022,714,169,727,522,993,705,474,117,625,219,123,162,328,649,001,868,577,557,
053,747,688,834,779,586,907,186,109,111,929,670,495,816,318,068,160,300,312,
250,916,691,817,752,512,468,376,952,265,939,376,492,570,928,205,510,912,395,
779,694,978,932,992,363,501,904,594,865,686,660,274,277,274,517,459,010,614,
044,234,192,578,819,723,198,245,008,010,387,590,156,706,298,720,542,499,317,
803,730,814,437,756,656,256,499,384,090,469,141,667,195,251,715,152,651,215,
400,251,335,267,390,139,944,468,724,842,930,126,558,070,825,818,312,341,069,
077,698,193,846,009,826,628,070,204,429,642,552,987,767,671,017,216,345,184,
536,584,443,398,138,621,253,324,518,101,204,520,708,964,880,022,507,625,656,
137,958,032,356,361,654,275,655,823,235,137,650,737,466,939,657,128,396,243,
047,241,698,502,420,658,600,306,113,821,883,756,326,317,027,526,048,847,031,
307,972,117,365,443,947,690,506,614,126,015,911,071,579,985,902,931,424,118,
924,103,833,765,961,497,574,273,954,907,774,330,356,856,982,676,312,432,650,
312,228,157,099,344,945,584,092,014,875,433,197,859,370,956,801,397,439,868,
551,613,636,611,806,396,677,431,843,897,244,633,295,202,704,881,412,127,436,
250,907,468,978,786,013,598,584,822,868,183,385,157,323,355,019,017,335,576,
701,149,128,123,589,768,605,872,031,931,441,431,247,663,676,811,390,170,054,
224,646,403,798,382,401,656,060,263,692,208,977,446,445,259,048,271,129,114,
062,047,069,876,196,454,434,238,583,355,727,844,477,335,188,817,778,613,063,
084,659,290,474,629,991,653,322,680,069,113,870,435,450,879,364,256,665,802,
063,642,454,157,109,867,126,799,069,974,013,426,032,545,035,252,276,145,519,
319,293,314,738,254,034,630,732,503,234,203,136,460,295,462,486,839,254,850,
669,130,701,384,362,000,504,231,997,070,133,415,382,628,698,108,633,386,626,
281,611,049,223,759,149,148,391,191,999,587,916,365,604,129,157,848,766,553,
190,715,665,490,345,601,504,466,713,436,913,682,500,229,144,440,500,877,519,
301,618,458,460,436,123,923,795,076,839,214,047,189,365,405,153,726,469,165,
675,754,437,396,915,321,991,026,695,788,206,718,346,178,972,069,756,070,834,
334,811,882,586,349,642,766,559,349,644,345,296,762,242,634,558,925,463,972,
163,158,684,676,922,322,678,835,093,892,464,976,338,922,770,040,150,330,467,
471,317,643,491,323,931,452,948,719,431,625,056,975,150,650,589,441,049,111,
467,014,542,181,954,878,564,793,501,572,776,110,441,372,667,729,370,611,193,
718,966,658,947,678,609,071,237,617,551,185,090,658,518,934,511,034,702,044,
400,264,410,784,129,740,268,885,850,117,786,927,162,766,975,011,862,733,022,
025,937,966,888,443,633,853,624,360,226,865,687,050,083,688,413,927,878,288,
844,607,310,806,441,914,480,350,043,014,709,096,710,330,406,838,970,978,976,
981,733,193,068,231,441,810,198,876,061,831,817,803,782,885,843,457,409,554,
331,219,198,076,734,231,639,826,288,820,022,343,664,627,838,649,672,277,672,
367,518,652,872,697,558,444,254,959,137,070,274,125,292,037,156,083,126,513,
518,852,545,362,457,114,400,192,567,007,373,142,081,471,097,510,138,446,161,
182,801,708,974,300,258,724,565,207,175,979,434,031,533,829,408,682,314,389,
129,985,723,909,728,242,739,180,999,462,324,790,446,667,469,382,645,710,408,
822,515,381,494,626,954,077,466,307,364,405,320,280,630,333,970,208,489,114,
834,302,387,225,900,034,805,842,590,653,216,781,261,093,511,558,150,469,494,
866,701,074,722,747,523,209,320,558,490,972,283,349,225,445,732,275,637,598,
391,551,673,488,330,245,092,202,758,608,306,116,218,931,121,118,923,460,976,
727,152,250,281,233,767,362,337,165,168,685,165,286,181,708,845,406,009,767,
126,686,231,429,384,545,516,217,267,347,667,613,239,933,163,935,075,017,104,
697,299,835,026,632,487,279,441,301,448,524,388,211,848,159,711,384,160,165,
963,698,701,621,619,333,867,182,538,895,369,984,708,630,440,697,828,700,411,
344,791,386,539,347,738,902,184,404,828,103,222,178,557,119,384,011,981,604,
794,535,331,886,176,093,345,636,435,046,770,681,349,658,500,511,080,859,192,
502,164,672,525,944,914,356,147,023,322,153,183,438,931,463,556,322,504,912,
541,401,144,812,025,532,784,464,277,725,452,905,176,932,208,477,965,332,626,
677,323,963,644,525,729,849,654,268,133,599,905,740,840,607,630,612,378,311,
580,825,301,541,087,402,168,222,863,595,026,202,837,395,514,447,351,248,127,
383,696,604,882,133,948,089,453,887,993,385,422,148,927,995,950,068,753,073,
620,495,499,594,866,930,646,875,127,206,322,429,791,607,907,916,164,749,170,
478,651,300,648,309,898,376,839,897,177,097,037,807,051,606,115,612,063,168,
908,015,950,656,141,118,984,771,914,137,923,402,609,907,566,630,813,668,613,
519,877,472,294,170,234,305,342,656,687,945,201,627,832,346,948,976,300,443,
311,160,615,943,273,322,310,049,993,648,315,543,685,225,942,208,230,597,612,
889,654,399,289,788,803,989,994,731,706,233,767,659,297,675,794,635,499,589,
630,149,414,403,897,590,150,331,669,052,581,601,007,699,004,920,721,403,826,
085,899,366,382,575,667,972,111,471,592,789,612,563,925,629,736,764,418,546,
460,224,025,598,265,418,728,074,149,150,095,769,374,127,691,122,137,261,628,
974,220,808,410,281,271,506,536,311,822,140,261,336,835,419,987,729,807,306,
494,728,453,449,872,292,344,678,626,802,314,324,025,004,200,664,734,593,440,
544,307,907,764,522,950,754,919,131,113,004,615,817,222,251,428,438,958,326,
329,273,124,545,152,890,155,959,645,760,163,483,444,191,267,702,754,396,166,
775,711,098,675,120,572,511,363,859,101,309,865,108,876,886,962,877,850,645,
018,890,970,415,288,469,232,774,903,404,384,171,711,384,125,557,704,163,832,
224,654,212,924,819,994,253,583,074,539,396,372,751,748,635,935,340,914,755,
709,632,333,989,539,816,119,205,584,047,915,740,400,620,664,524,678,291,988,
276,713,046,972,849,036,097,300,765,287,195,589,325,673,629,484,147,356,041,
647,488,535,365,720,473,079,616,382,168,261,919,048,040,001,918,958,229,476,
038,933,325,227,687,495,283,348,111,982,494,799,266,077,743,378,263,104,935,
519,044,752,575,985,692,365,956,414,110,494,986,082,190,030,724,725,011,951,
266,964,585,570,708,352,564,851,761,658,142,443,821,529,830,203,321,645,771,
704,495,183,808,075,513,463,222,897,523,225,358,836,700,446,908,777,423,681,
730,018,749,756,786,539,851,010,674,810,094,447,115,112,144,056,318,433,470,
093,044,326,297,084,699,103,685,749,258,882,039,085,578,401,952,542,398,236,
692,780,543,054,109,481,835,365,012,113,199,346,980,437,992,120,805,603,495,
346,551,153,878,292,178,942,893,495,019,590,656,079,645,850,777,045,070,245,
595,239,231,885,130,573,247,262,966,659,199,079,864,742,871,969,642,795,507,
917,907,002,842,167,152,694,301,076,585,298,218,067,269,704,994,172,409,878,
710,846,615,145,700,479,346,224,035,525,463,138,535,572,071,291,203,555,237,
590,883,374,506,695,930,654,752,555,417,959,854,898,963,572,273,890,871,519,
656,689,194,704,767,600,263,643,609,493,538,380,799,646,415,155,134,158,402,
078,642,414,777,502,937,371,263,257,632,550,522,604,032,101,423,792,173,303,
526,755,655,974,868,732,208,991,163,808,948,751,030,100,118,350,932,866,521,
860,817,420,473,522,528,480,929,972,035,591,710,487,033,431,619,043,917,533,
737,483,412,657,404,896,753,542,652,825,982,830,345,351,667,702,060,598,355,
501,227,635,210,960,155,018,114,302,221,170,703,673,172,619,585,496,528,953,
400,976,644,781,908,847,391,778,626,344,167,113,449,359,833,930,096,667,133,
748,884,629,473,787,660,399,139,130,869,629,725,092,972,554,566,991,772,830,
277,094,368,836,682,968,525,854,502,473,852,175,499,603,359,503,369,103,069,
052,091,808,706,307,358,149,653,063,778,756,115,371,239,909,495,519,881,407,
991,827,105,177,668,212,543,547,778,398,796,460,524,189,880,820,288,874,021,
324,214,576,392,028,056,097,735,124,142,509,985,994,335,103,585,329,665,927,
886,732,340,252,711,691,709,167,282,571,178,425,238,943,515,433,319,479,574,
389,939,074,519,871,640,109,117,171,247,224,564,470,390,911,024,311,949,218,
883,849,089,525,837,322,298,722,439,344,100,452,195,083,504,314,279,609,721,
736,202,790,175,413,834,393,485,883,958,546,070,803,855,948,740,573,484,955,
229,965,772,104,211,067,419,323,754,739,142,360,202,369,962,806,513,489,472,
309,607,149,537,667,687,319,641,518,480,897,930,413,783,618,589,325,254,608,
662,377,365,533,249,851,238,839,101,519,642,999,929,748,528,512,285,435,035,
356,906,432,001,571,743,124,090,503,977,499,073,625,322,869,336,537,254,887,
081,774,226,573,181,139,418,583,129,241,859,119,562,519,622,079,147,500,210,
174,027,420,515,355,379,150,772,499,876,348,041,459,549,183,095,057,446,893,
825,222,879,109,081,338,786,959,142,044,476,787,061,677,952,327,574,743,296,
006,558,710,985,259,521,378,956,305,091,889,980,128,124,524,411,866,062,168,
311,360,111,870,960,276,613,879,547,506,734,472,481,555,990,722,120,307,380,
622,698,386,664,624,251,120,880,049,017,503,952,062,391,372,850,880,288,457,
259,905,403,321,994,976,600,591,255,753,516,748,081,085,919,268,462,563,946,
659,245,421,925,548,165,615,807,828,537,483,307,549,290,632,752,674,514,645,
523,375,005,711,570,225,818,439,451,363,706,749,959,644,120,156,348,129,684,
123,340,262,985,363,612,631,172,582,639,191,483,777,506,519,044,474,390,881,
792,993,048,118,466,199,909,414,499,724,882,649,351,572,474,381,971,653,233,
815,270,199,003,650,510,171,182,380,936,684,758,949,439,281,916,205,962,862,
430,836,354,429,141,747,430,079,778,112,635,081,353,953,637,929,292,418,329,
801,337,605,232,297,124,387,836,415,687,616,374,186,466,521,017,666,748,628,
977,140,631,793,341,373,736,137,832,885,846,834,899,237,272,880,344,492,164,
645,299,010,413,573,810,866,503,935,897,462,127,907,744,990,118,673,230,805,
752,970,498,216,019,294,975,518,631,335,283,313,603,800,884,706,548,805,171,
228,060,047,420,459,350,792,179,899,070,532,513,519,546,004,010,861,230,514,
347,361,848,610,118,414,522,931,938,854,089,969,174,669,819,698,177,662,202,
003,566,091,319,002,108,742,627,876,146,774,816,124,687,456,138,329,352,831,
557,897,835,153,624,253,339,564,849,156,823,439,021,244,138,067,015,319,641,
269,066,270,284,156,549,870,641,148,620,680,618,373,743,024,066,680,854,060,
441,100,080,334,169,140,674,038,688,007,692,940,133,661,090,944,824,442,225,
979,772,769,546,123,077,240,984,564,631,147,152,397,347,332,415,285,231,928,
394,951,792,168,193,619,343,573,504,724,163,182,291,772,369,842,964,219,455,
743,617,158,577,197,340,138,046,870,132,188,906,661,363,166,772,516,349,163,
375,944,201,749,467,147,358,092,780,671,933,506,464,092,784,843,913,719,256,
482,412,702,563,686,726,959,206,868,490,241,558,338,782,916,313,296,879,009,
052,353,077,822,368,625,024,026,320,235,481,300,741,139,325,588,722,428,361,
053,529,295,653,147,783,913,895,281,602,856,887,162,502,948,639,343,037,891,
350,719,797,162,402,134,489,909,466,567,902,327,946,313,759,693,711,132,125,
433,965,010,008,711,705,727,601,263,371,939,312,658,505,094,936,798,800,983,
983,698,469,464,110,677,298,720,316,129,475,002,757,392,151,522,645,739,627,
277,513,967,579,018,672,536,346,359,998,027,526,117,301,577,566,726,209,057,
853,329,834,541,287,694,265,579,966,756,148,352,488,760,534,741,383,749,189,
482,298,190,199,594,823,903,421,171,130,922,920,329,984,460,936,767,468,338,
938,417,504,670,936,362,464,432,519,009,471,467,598,190,797,355,520,527,138,
554,523,765,463,138,433,532,818,935,411,604,227,499,067,344,904,078,262,049,
976,954,637,477,536,961,447,142,653,258,188,577,364,774,401,768,646,674,973,
269,595,800,159,411,090,983,674,728,378,633,504,329,137,627,275,810,577,037,
188,588,644,448,756,318,489,778,606,832,291,346,939,944,075,318,719,108,853,
501,507,934,714,259,727,863,101,053,434,826,930,580,762,927,402,654,191,545,
339,450,273,735,333,425,542,666,731,667,086,811,727,002,865,945,131,265,343,
018,044,863,919,261,628,263,152,679,895,456,162,966,711,799,606,314,614,069,
722,074,169,400,777,937,112,537,134,906,198,090,936,689,477,860,439,103,243,
043,158,593,241,393,003,871,277,216,934,266,100,733,978,045,638,520,547,707,
443,390,692,113,990,837,395,931,881,459,311,747,055,971,270,166,756,863,846,
432,659,427,327,661,438,628,242,843,621,804,051,689,504,698,240,174,069,241,
665,571,480,609,914,386,053,677,475,167,824,149,099,945,649,420,497,635,409,
974,665,179,770,512,070,168,099,413,364,555,787,267,981,977,546,284,895,275,
430,121,534,946,492,752,050,257,096,974,232,025,235,981,962,843,882,230,313,
219,199,888,423,062,956,319,735,061,693,510,880,856,604,222,054,184,190,640,
535,966,869,790,117,187,138,409,715,829,560,813,288,164,891,120,824,792,351,
226,673,495,477,651,023,469,046,055,059,918,768,363,072,450,856,992,136,571,
444,441,318,368,232,304,604,343,097,585,853,139,769,346,690,538,905,679,949,
718,335,547,628,103,180,289,758,012,348,893,575,142,129,067,213,187,069,164,
760,128,904,807,699,236,803,112,543,342,427,725,754,322,426,940,164,581,759,
664,050,541,409,091,224,643,454,378,163,452,920,129,447,274,137,397,930,407,
658,215,276,095,952,562,388,508,521,352,835,444,854,892,122,824,666,871,550,
244,391,177,580,832,874,599,294,539,202,802,679,060,728,723,007,984,782,798,
064,210,859,971,267,640,299,464,413,478,191,155,203,526,590,895,510,575,023,
775,478,134,021,543,098,476,499,698,404,312,955,176,488,991,057,940,855,469,
880,377,783,819,332,265,645,120,468,387,993,272,960,233,458,589,015,292,442,
313,170,809,544,550,060,608,292,016,786,584,204,965,011,914,597,045,249,647,
435,749,267,633,428,471,789,591,613,538,182,542,150,866,045,511,332,241,767,
093,376,409,259,544,109,575,535,250,116,943,011,367,576,035,174,740,653,219,
184,573,442,222,213,693,792,017,810,366,555,677,723,789,476,158,647,515,788,
937,230,317,003,804,390,499,428,064,266,755,193,262,646,672,604,070,067,960,
963,894,806,570,361,640,482,321,054,385,653,776,228,974,009,238,841,918,619,
992,768,137,448,634,094,220,050,411,447,333,247,764,500,320,998,963,870,990,
895,727,993,158,747,688,489,837,882,007,738,168,033,477,741,741,410,406,904,
723,398,784,327,584,490,323,920,440,265,661,923,967,258,981,967,959,841,016,
371,832,956,358,508,247,541,728,239,901,587,076,194,995,999,822,283,557,716,
698,703,186,783,809,141,243,849,581,205,869,851,076,997,403,920,441,317,941,
442,423,438,719,553,579,394,422,043,939,262,436,784,676,093,906,996,400,579,
486,625,598,511,823,237,891,690,862,047,119,794,398,884,244,595,761,844,247,
152,439,009,025,250,996,309,791,418,789,168,224,663,084,057,102,122,404,983,
966,053,665,088,197,849,969,167,514,735,859,060,750,541,657,594,500,039,545,
416,299,199,941,196,567,666,557,160,841,452,388,567,792,495,488,287,797,594,
005,733,448,723,485,859,359,753,012,192,293,726,020,168,904,990,033,920,080,
856,726,891,987,517,722,712,412,897,379,488,274,077,216,916,144,192,240,246,
713,148,765,683,727,380,275,093,514,195,118,314,830,041,028,148,119,854,258,
853,822,379,708,813,934,897,999,071,472,928,937,372,037,442,926,369,902,255,
756,167,107,639,673,634,168,544,025,688,389,038,823,450,343,454,172,739,485,
173,814,785,571,271,160,430,764,850,706,632,970,627,880,293,052,972,557,568,
553,745,453,405,164,717,170,873,836,707,451,188,802,143,778,235,067,386,364,
805,491,181,126,076,438,764,923,304,907,107,896,381,833,314,722,755,616,427,
606,917,301,015,634,356,986,887,404,276,493,531,255,081,872,712,939,778,856,
111,211,887,652,614,626,763,129,049,991,480,680,578,226,380,718,774,643,655,
147,328,055,433,737,145,535,103,887,289,833,115,643,968,800,393,714,467,217,
510,440,719,987,900,766,395,860,957,525,806,686,985,257,062,544,287,827,781,
933,660,073,236,296,828,602,090,578,652,542,504,317,129,505,213,055,118,626,
961,335,995,839,477,798,409,251,143,787,592,593,357,244,107,456,675,241,140,
751,298,541,612,786,116,802,127,146,173,318,574,887,494,572,255,814,595,318,
539,590,530,623,735,271,342,697,283,924,756,549,426,645,532,120,849,246,209,
341,832,330,768,952,545,747,808,883,235,298,021,984,171,331,150,393,700,662,
737,946,085,159,990,712,779,868,364,692,803,734,114,898,240,164,796,092,239,
640,751,065,697,257,828,466,619,086,385,847,261,336,024,843,993,680,494,760,
171,983,814,235,584,909,044,593,969,439,169,230,694,212,052,954,258,740,228,
006,096,302,226,937,430,379,768,718,659,689,083,971,336,112,984,706,888,240,
044,223,125,270,374,155,721,993,779,477,137,745,872,081,446,968,661,452,725,
771,686,516,514,916,217,665,437,642,788,930,465,638,439,180,315,629,738,498,
876,186,330,954,223,789,504,243,957,321,426,211,932,053,418,108,887,596,046,
321,968,476,937,827,037,371,952,487,206,652,545,178,903,429,088,339,385,644,
155,843,181,411,962,476,327,736,432,422,203,932,758,804,195,664,720,719,327,
693,738,463,403,027,709,422,339,142,882,420,063,335,536,543,538,176,487,936,
522,067,670,048,271,253,324,923,868,383,839,278,707,788,024,774,316,159,602,
281,406,982,887,902,229,230,913,084,258,232,581,516,946,353,178,420,768,474,
670,441,263,195,268,078,173,983,591,356,273,153,878,757,225,136,005,597,895,
148,598,307,333,145,411,214,645,071,193,382,730,300,625,927,866,324,586,880,
774,648,376,616,721,358,469,844,928,199,963,486,797,628,910,058,067,053,681,
270,098,592,433,471,373,206,310,511,214,187,659,668,820,691,514,983,683,403,
413,906,368,547,360,046,025,867,923,528,828,795,131,387,515,187,792,424,411,
256,680,496,229,305,004,728,019,255,923,483,895,533,437,741,619,560,912,996,
274,285,977,340,661,395,337,968,218,695,707,738,900,332,715,727,671,847,858,
299,781,199,926,789,381,479,279,029,605,615,085,303,812,869,841,393,373,943,
135,412,936,334,155,453,448,350,743,359,255,462,042,414,666,046,895,213,057,
752,361,505,660,830,452,576,518,373,311,582,605,548,225,806,899,639,994,883,
715,906,459,387,936,538,245,788,998,019,254,728,597,923,870,707,818,217,722,
101,461,452,919,077,658,744,242,575,206,707,383,553,598,213,066,531,443,649,
210,483,331,801,836,748,795,085,818,746,054,188,810,229,494,236,138,714,178,
956,355,471,608,778,190,618,329,929,398,845,565,576,537,280,945,427,766,101,
049,836,620,177,514,042,725,934,737,417,886,903,555,935,868,990,114,615,070,
003,449,038,446,832,642,909,305,974,417,563,268,696,885,119,690,835,082,032,
839,419,768,715,009,812,250,996,252,325,869,667,476,096,874,222,000,871,978,
641,037,782,608,195,104,652,740,831,844,434,100,359,707,010,345,180,560,052,
748,021,851,144,276,048,273,018,160,825,648,171,986,400,347,470,535,593,298,
104,234,864,341,071,045,758,232,895,045,185,771,845,660,268,022,252,683,794,
374,727,105,965,012,236,349,571,615,913,260,330,024,398,731,853,087,185,212,
748,719,827,841,788,461,944,772,488,956,082,342,300,267,104,893,953,874,849,
757,728,802,307,227,768,745,154,122,676,802,346,652,230,698,371,887,015,435,
546,307,865,423,520,300,713,059,616,164,090,508,687,310,851,157,500,048,738,
017,797,893,757,699,799,331,626,955,694,751,525,653,972,692,163,147,487,918,
043,134,051,095,887,691,602,289,842,257,993,372,765,380,457,673,548,939,049,
425,536,468,479,457,412,566,343,872,636,850,818,510,946,226,033,578,854,461,
831,176,934,521,309,308,192,326,859,591,845,945,784,718,353,211,947,041,081,
612,353,244,083,882,271,265,023,347,065,806,228,812,980,768,186,228,662,806,
863,840,038,342,337,614,323,673,568,855,518,431,505,349,774,607,389,593,394,
404,057,011,996,291,482,892,925,849,434,922,568,753,758,174,318,552,880,068,
893,030,776,053,950,564,456,896,626,818,644,506,604,715,742,921,498,002,251,
353,826,956,219,775,155,423,399,098,679,114,196,593,428,602,702,085,618,848,
637,376,502,035,419,969,976,876,365,308,888,846,631,642,040,514,026,596,578,
059,085,755,288,905,620,479,744,548,458,614,812,876,959,958,417,544,017,585,
592,448,945,876,412,525,673,508,297,282,221,741,702,561,359,938,073,409,461,
495,559,041,029,758,836,266,191,888,458,489,656,397,928,584,789,193,181,927,
974,141,995,035,156,024,154,077,534,875,944,991,294,493,639,728,452,807,238,
023,914,185,731,207,814,148,016,544,149,105,308,011,741,855,032,041,207,866,
185,957,225,817,445,077,480,384,708,614,434,426,079,411,759,742,222,803,770,
137,559,847,875,484,684,741,512,303,987,056,944,444,666,346,619,473,352,873,
049,225,640,969,892,200,253,434,979,686,280,429,101,253,745,900,041,745,711,
290,019,650,342,705,609,079,548,787,637,774,251,328,479,841,070,850,238,014,
912,668,623,205,362,446,820,735,884,444,327,989,281,792,401,732,405,148,753,
411,390,931,629,220,438,680,020,032,936,635,808,990,056,056,176,242,836,586,
933,441,227,734,265,308,407,789,007,368,181,013,160,309,147,290,383,873,274,
147,557,165,615,632,590,737,583,027,474,106,264,500,089,741,281,339,894,879,
840,502,404,456,413,949,583,765,567,581,974,537,908,628,172,210,552,833,011,
470,557,827,102,249,729,132,668,008,670,771,772,736,930,041,404,068,116,341,
457,805,721,529,729,450,138,402,976,026,385,840,168,476,541,580,031,151,297,
821,238,217,549,434,170,187,421,072,601,643,963,007,473,585,372,639,775,787,
686,684,178,536,991,737,762,487,145,944,960,383,709,290,393,530,842,027,122,
767,206,005,277,542,232,370,845,302,200,285,098,998,877,843,299,653,007,944,
621,710,308,356,612,115,730,500,037,794,537,810,849,148,303,733,946,436,265,
993,486,046,305,399,704,592,168,230,602,114,710,655,169,073,164,853,916,525,
920,947,696,852,386,788,441,186,910,551,026,462,166,505,455,066,338,706,560,
171,531,535,336,122,350,761,500,492,361,415,061,907,282,917,574,091,665,734,
728,541,766,785,652,561,859,337,729,898,789,939,518,084,705,382,352,163,839,
947,709,117,416,523,750,602,407,445,450,512,777,856,874,261,356,823,565,894,
728,116,365,630,133,377,831,806,264,009,851,650,952,159,399,834,788,569,952,
692,575,736,669,086,433,622,003,059,048,619,107,206,969,346,910,706,580,823,
671,915,657,779,521,200,530,978,414,697,294,365,703,590,825,747,048,841,835,
001,885,379,010,794,438,116,853,803,068,331,803,812,788,619,852,455,901,054,
148,995,197,839,788,787,241,213,556,110,598,819,033,981,946,601,555,722,636,
609,963,234,693,611,584,684,672,950,016,134,756,825,270,807,599,791,870,797,
970,733,700,142,057,242,536,828,292,021,287,322,018,675,963,436,364,110,648,
344,531,566,057,351,018,107,638,176,850,903,588,289,276,706,139,277,871,504,
838,557,887,030,088,072,090,952,504,176,741,231,182,089,029,188,525,176,491,
681,943,386,480,442,449,032,638,742,493,633,619,321,296,514,022,171,759,843,
448,689,921,287,315,333,323,499,607,239,965,680,605,082,550,759,204,684,838,
955,518,988,474,252,872,722,500,898,662,031,528,459,756,339,582,024,426,932,
141,083,713,429,429,737,644,642,100,916,432,796,026,906,246,540,811,387,124,
488,930,562,284,801,579,627,362,975,925,366,397,307,110,077,927,186,676,389,
327,545,735,431,411,334,928,609,265,963,355,432,653,691,163,520,432,635,164,
010,747,347,482,766,324,465,349,409,982,048,687,859,948,035,335,577,106,814,
139,137,713,307,760,454,176,972,167,977,580,445,995,185,454,462,216,415,333,
587,780,687,542,829,119,947,320,128,779,351,619,252,799,184,564,264,634,323,
594,262,641,717,457,416,710,806,788,956,378,711,037,374,448,079,714,964,062,
514,486,957,061,215,185,083,836,352,001,481,715,568,887,080,197,588,468,380,
470,232,087,304,090,770,187,956,183,614,137,012,863,138,341,420,926,879,934,
904,492,975,958,171,356,646,354,668,095,603,598,777,000,787,028,844,287,482,
274,419,059,316,088,889,722,477,027,759,389,542,283,258,546,058,530,341,917,
211,589,970,437,326,070,783,458,922,871,968,266,367,992,800,143,317,453,385,
414,874,294,965,724,993,116,111,996,350,878,884,273,059,923,598,157,861,344,
392,277,531,135,526,645,357,980,874,186,014,033,707,244,860,499,036,022,278,
812,013,345,666,715,316,652,071,544,156,228,432,672,152,036,812,454,435,095,
167,837,851,059,485,442,422,051,876,390,551,781,817,486,311,232,295,273,296,
552,489,983,995,381,563,023,694,951,640,518,153,263,672,928,254,637,646,962,
121,108,115,456,788,013,750,687,911,194,167,029,539,771,841,694,512,963,099,
137,200,047,157,914,598,678,491,880,276,792,276,318,005,164,898,699,245,802,
672,872,484,667,056,796,199,515,778,081,616,382,726,007,241,951,306,012,154,
155,195,638,889,508,600,569,315,243,775,573,374,425,786,029,740,378,233,148,
804,933,902,241,288,740,705,870,819,025,530,920,866,445,783,224,585,337,403,
010,505,786,213,114,326,638,956,293,787,467,882,266,853,809,944,587,901,331,
199,031,803,540,193,732,997,515,170,610,877,550,214,512,938,866,852,611,018,
342,390,382,153,838,810,895,456,490,377,115,014,395,004,183,587,271,085,740,
124,387,173,910,307,362,934,621,327,050,263,617,194,580,166,170,586,927,839,
761,992,246,121,299,352,706,816,686,866,886,282,025,524,952,165,414,378,309,
739,998,834,534,784,535,138,231,679,520,309,679,545,097,114,588,206,499,860,
738,006,020,671,305,538,808,274,935,394,566,447,998,785,020,830,882,906,650,
748,702,273,712,910,820,058,025,676,863,840,930,338,613,387,300,443,120,739,
518,926,244,227,741,783,448,555,608,412,750,233,760,196,717,281,541,327,938,
893,896,330,197,736,291,633,954,276,110,237,959,447,433,370,118,182,504,215,
773,597,011,199,610,960,080,041,145,732,751,164,762,779,975,817,997,618,660,
051,550,390,782,465,577,317,122,327,014,105,851,379,026,025,461,184,705,889,
627,367,657,427,781,475,326,109,250,075,003,390,107,945,545,233,799,486,264,
213,153,706,261,190,495,950,925,883,208,574,923,594,497,005,370,811,230,350,
580,321,359,114,287,012,949,973,417,228,752,818,935,426,229,655,699,523,698,
768,984,662,888,777,117,044,249,187,811,868,608,779,389,802,112,270,465,385,
589,004,140,229,452,814,417,726,501,595,968,504,877,486,655,738,214,177,011,
461,724,062,814,003,065,060,127,984,527,012,161,002,102,575,231,244,835,474,
221,442,125,890,876,493,403,728,267,822,982,454,189,505,663,028,596,097,542,
795,858,009,156,462,344,164,953,673,948,123,260,489,894,001,431,544,901,415,
077,266,332,641,809,103,388,145,903,750,014,323,493,986,033,870,353,585,466,
094,132,789,748,523,746,573,499,160,650,169,793,413,510,651,053,760,369,705,
634,232,783,675,704,761,716,816,765,079,072,697,386,713,430,950,717,491,594,
264,112,286,657,385,047,290,173,696,733,221,555,299,153,658,573,265,608,761,
780,294,698,355,048,342,346,560,807,287,772,637,664,471,113,026,654,435,700,
731,673,671,812,163,528,722,567,651,842,929,807,388,517,482,717,448,765,231,
015,732,632,199,330,623,127,066,714,270,422,778,155,706,818,228,845,035,152,
312,254,662,606,010,495,127,078,227,171,234,464,688,316,690,499,081,621,542,
825,356,975,656,722,222,894,402,016,376,055,687,123,792,728,258,525,184,513,
566,232,860,039,407,326,027,800,758,594,206,837,290,994,088,878,004,000,459,
797,882,863,604,464,539,252,732,876,624,881,635,530,850,325,612,463,397,804,
379,600,190,166,643,928,435,175,959,442,346,628,138,446,058,464,843,711,439,
618,673,993,334,143,819,345,072,033,835,452,406,126,024,689,838,625,634,978,
138,512,654,130,919,039,532,427,814,108,493,348,217,661,838,218,709,583,951,
259,824,438,498,318,696,154,050,009,513,954,741,391,911,733,430,732,517,052,
979,308,809,486,165,841,192,148,983,137,923,493,429,325,466,287,507,826,703,
475,599,300,635,047,198,105,468,044,501,943,019,557,225,502,173,729,757,244,
682,192,976,177,286,822,440,328,107,264,420,514,752,144,078,823,336,625,337,
450,250,344,434,412,394,250,503,749,382,097,769,557,789,979,006,490,898,090,
533,862,530,719,759,226,395,863,935,271,934,947,764,146,990,345,984,577,508,
029,769,046,279,936,020,374,403,544,731,206,577,646,037,368,879,362,848,115,
411,457,037,225,104,058,605,651,652,700,077,758,256,068,109,815,431,337,537,
675,905,276,353,120,027,134,272,908,174,775,109,957,324,805,090,337,612,148,
626,570,228,509,368,361,114,913,970,616,056,700,113,348,778,708,653,765,095,
274,232,054,664,315,311,332,946,250,314,043,137,034,534,608,105,589,477,108,
254,503,401,041,915,755,352,180,896,410,066,657,201,200,654,348,140,627,085,
194,261,336,575,513,324,929,133,837,771,726,604,257,501,566,354,472,057,663,
434,508,795,401,921,035,600,522,724,799,012,225,440,383,199,530,884,068,011,
844,536,489,234,883,587,427,943,946,318,095,702,085,327,797,716,602,482,381,
819,048,996,470,750,437,825,265,992,741,872,149,288,767,807,092,465,159,464,
129,435,269,602,701,834,547,788,803,942,315,064,257,828,776,387,326,122,537,
775,309,419,234,936,719,176,192,986,252,198,719,506,210,979,322,343,596,817,
410,910,192,175,718,111,247,419,157,515,350,018,690,255,073,027,923,346,944,
854,408,560,358,501,926,097,290,798,728,841,132,829,285,059,586,810,960,580,
221,629,735,641,111,777,583,139,657,622,382,550,392,182,078,366,670,026,232,
626,355,130,846,788,810,816,019,664,261,038,601,540,907,031,726,804,109,478,
342,178,088,051,211,092,297,411,663,667,818,851,588,175,701,760,852,504,953,
784,255,300,100,156,477,355,797,735,911,126,000,262,292,414,708,903,321,123,
677,927,691,363,741,793,672,459,172,107,950,352,945,776,514,797,631,815,582,
356,018,980,938,469,418,531,663,591,697,985,335,213,178,059,669,091,149,363,
840,777,179,608,162,788,865,942,091,532,899,266,163,525,031,680,915,624,732,
056,084,016,545,451,710,825,483,809,871,826,803,277,420,427,558,689,196,010,
144,230,031,468,613,870,948,337,502,505,958,847,079,358,668,569,615,419,583,
806,488,973,132,474,830,513,073,483,015,954,906,964,789,507,400,374,880,691,
240,096,080,055,035,659,892,197,486,586,387,210,213,494,946,085,364,237,927,
252,232,979,694,215,000,309,865,662,893,164,738,807,778,200,260,347,047,915,
780,046,908,693,187,524,288,528,086,725,978,597,894,068,791,938,623,682,451,
057,236,477,569,544,006,268,671,882,029,375,837,626,093,181,242,311,429,603,
814,536,641,981,970,795,894,128,783,853,059,399,407,699,005,094,063,131,912,
577,612,771,033,153,313,085,472,361,234,542,754,036,877,091,035,713,669,210,
061,994,557,543,814,219,592,349,528,212,132,905,421,833,695,292,685,528,921,
099,046,268,009,270,771,434,121,620,391,192,866,314,057,339,761,421,008,996,
025,965,453,394,819,039,843,275,400,516,231,294,925,066,527,178,633,196,741,
823,991,783,277,126,231,734,593,951,090,019,841,024,886,542,967,231,076,392,
233,835,884,899,727,644,290,125,011,626,333,800,195,022,541,915,968,607,558,
061,786,880,259,025,693,977,363,839,435,900,438,881,176,331,430,613,681,990,
402,435,444,337,970,348,613,834,941,297,748,389,014,474,840,558,801,333,056,
326,582,960,591,476,794,698,154,091,002,064,231,900,381,869,004,529,683,280,
757,799,904,437,883,968,945,653,947,619,347,836,860,362,988,493,529,627,008,
985,961,518,446,080,365,162,333,926,027,105,565,255,965,298,972,558,661,547,
486,430,817,055,932,699,039,063,898,168,951,650,138,267,797,972,737,745,609,
501,193,922,291,637,511,268,318,666,482,808,761,211,529,349,039,956,256,981,
387,651,489,526,569,217,423,322,255,803,859,210,307,178,946,163,384,879,932,
657,952,161,578,935,862,734,556,689,585,457,652,049,793,791,070,978,658,043,
139,943,230,720,409,731,425,550,963,189,558,821,191,195,349,824,401,545,329,
081,153,588,323,701,870,865,887,507,422,001,633,182,998,664,371,570,544,311,
723,349,230,095,273,927,867,359,926,185,916,138,486,606,088,481,227,381,458,
360,419,697,330,669,792,561,549,468,277,403,387,842,168,838,357,918,493,537,
662,756,035,065,466,345,123,789,568,570,068,327,450,687,839,085,285,028,577,
478,195,494,134,751,623,609,737,444,349,683,455,561,650,320,653,363,486,476,
546,740,029,830,808,707,225,051,694,932,967,181,614,812,677,022,817,782,724,
103,491,717,215,048,555,098,421,040,854,363,582,287,857,359,832,711,005,251,
743,995,287,149,658,617,474,150,569,099,397,911,550,149,248,171,945,930,832,
195,495,683,544,330,297,196,220,906,932,730,914,927,443,726,308,451,281,470,
779,044,632,866,804,420,296,559,239,466,814,377,740,851,562,518,286,494,480,
705,247,183,337,838,230,775,050,925,509,868,546,688,206,621,733,398,405,200,
171,819,133,671,935,941,302,080,844,392,954,696,806,397,138,441,031,269,005,
353,703,708,133,592,250,418,232,167,777,117,262,355,251,426,993,998,020,434,
414,991,017,268,212,678,501,149,796,547,262,181,423,077,810,071,282,848,983,
189,316,551,998,575,937,856,915,326,593,400,810,247,741,455,729,243,275,084,
195,028,766,194,069,742,586,923,522,779,039,842,401,988,337,156,807,321,886,
537,594,058,084,952,759,965,910,230,581,740,059,277,657,769,768,750,197,444,
463,892,350,416,649,055,883,006,110,985,045,545,062,320,113,625,599,864,157,
937,245,935,827,441,718,965,002,719,224,425,370,257,409,836,570,478,052,739,
533,318,372,509,674,442,213,679,658,245,916,904,154,434,356,124,921,465,610,
521,378,175,898,299,774,524,197,648,179,110,407,917,281,871,935,156,547,273,
822,514,538,333,277,408,174,677,248,408,076,471,568,047,330,253,529,488,797,
051,569,657,844,346,930,890,202,270,791,655,173,938,786,241,382,564,770,140,
693,997,065,111,089,519,212,106,017,841,262,458,143,255,213,925,808,360,026,
040,444,537,657,140,513,582,776,025,807,199,754,392,588,537,363,093,180,524,
984,161,551,134,085,169,493,820,309,692,697,784,472,448,882,595,271,750,108,
196,516,668,771,092,146,029,856,164,620,256,784,080,094,529,878,005,703,359,
106,212,450,656,229,029,221,911,309,830,523,726,415,661,233,935,377,231,945,
063,145,551,186,142,856,501,818,106,611,176,392,256,144,705,304,983,933,677,
007,612,309,422,334,854,264,583,512,873,228,084,264,967,270,410,532,926,695,
654,311,575,570,648,658,622,657,219,543,287,988,298,951,380,183,449,065,998,
463,445,807,732,589,323,926,930,893,650,457,399,633,377,710,811,124,793,574,
911,887,738,596,562,969,422,560,147,201,838,859,676,187,473,782,235,202,504,
002,074,193,444,833,397,447,547,605,206,227,539,423,794,482,930,811,519,755,
232,908,824,927,912,281,189,485,782,432,771,580,938,734,016,262,570,143,248,
813,622,739,346,100,590,105,463,953,352,968,154,181,023,758,564,153,208,378,
795,675,060,611,281,981,313,850,744,285,698,209,660,904,304,644,351,532,451,
230,211,147,051,738,177,126,477,726,708,537,128,799,229,627,630,734,371,490,
023,566,367,762,062,846,302,364,405,407,015,172,695,124,304,982,378,822,272,
593,838,995,607,901,616,983,947,673,961,571,121,230,136,622,629,871,632,857,
161,046,925,425,265,190,693,304,437,544,132,729,511,776,697,657,605,502,940,
236,994,639,919,916,379,991,525,545,548,019,815,576,942,970,427,446,485,115,
741,694,273,790,276,268,168,907,441,539,622,522,661,691,640,084,856,380,330,
197,548,513,605,593,625,081,418,798,270,912,544,639,504,968,451,559,598,810,
959,232,105,726,484,349,607,160,615,203,313,400,845,865,034,961,409,541,893,
597,419,794,127,024,060,332,063,325,246,873,196,468,421,303,310,927,889,411,
247,518,413,472,823,072,011,509,753,086,428,214,950,981,690,412,349,130,918,
579,834,719,357,836,403,164,043,848,254,009,596,948,458,617,958,213,142,926,
501,973,002,442,321,397,813,581,076,157,001,525,698,226,799,414,248,180,669,
265,279,740,818,182,363,532,157,684,428,086,202,660,367,686,893,710,897,835,
276,068,095,646,159,379,038,670,455,289,262,878,092,111,581,478,614,889,583,
480,869,347,636,246,063,259,687,241,756,065,226,900,060,321,798,832,490,903,
362,070,238,911,791,099,639,564,075,762,446,844,055,569,594,571,589,070,825,
513,605,717,178,684,163,710,373,682,538,166,984,708,234,422,542,241,466,347,
042,704,404,658,500,750,568,847,733,655,104,139,323,934,748,257,886,997,711,
592,753,523,534,717,106,044,681,732,542,726,685,941,685,469,997,449,562,683,
009,681,667,285,833,751,487,345,486,200,771,953,509,551,776,171,789,532,288,
086,434,590,796,823,900,280,203,954,187,080,965,809,601,696,222,007,367,459,
632,397,812,251,617,109,697,567,058,396,582,581,227,944,163,019,954,021,343,
628,013,517,592,447,740,389,492,181,375,457,086,099,752,058,293,778,652,028,
606,887,041,496,387,054,949,637,487,567,244,368,315,404,135,704,528,953,115,
800,404,261,577,481,071,664,076,617,573,732,337,639,650,492,009,155,111,992,
747,909,288,582,942,974,428,841,116,884,711,599,997,369,363,550,389,529,352,
828,277,705,863,773,603,294,116,763,858,043,896,361,528,636,016,969,314,026,
653,045,991,781,449,459,484,350,919,047,674,734,604,624,373,344,430,031,270,
724,633,682,744,687,040,363,538,931,202,555,292,211,016,243,520,740,007,457,
840,266,677,065,072,796,149,112,651,626,666,567,172,360,815,937,180,704,337,
655,936,441,853,995,745,444,112,917,083,368,548,272,489,967,010,719,783,422,
957,364,196,608,169,986,998,202,130,895,783,327,864,059,413,906,813,183,823,
043,683,590,474,429,898,920,410,926,736,926,606,920,556,702,277,856,382,347,
788,919,962,334,925,877,286,008,077,949,941,616,611,730,422,765,260,604,341,
867,919,527,202,675,488,804,591,650,068,499,679,515,252,289,677,946,636,677,
958,321,467,598,039,817,286,386,674,892,799,400,019,186,695,747,392,578,949,
459,376,530,354,941,317,536,876,149,940,114,984,627,110,475,693,014,044,416,
298,714,790,821,980,814,811,625,428,593,974,594,044,289,183,865,082,223,722,
430,308,588,784,048,877,245,751,930,148,036,189,745,220,364,935,251,215,314,
938,997,558,816,335,138,382,339,124,005,840,999,024,593,651,546,241,515,274,
354,218,721,610,692,989,470,361,588,590,851,130,875,047,063,852,902,509,635,
310,634,958,762,574,026,573,254,169,944,396,608,291,198,015,311,021,198,468,
667,457,549,498,223,347,154,430,070,050,759,859,676,313,800,304,103,150,075,
715,998,879,206,436,200,189,390,554,308,653,529,143,897,082,021,089,482,721,
854,140,183,878,175,923,990,337,645,184,118,571,078,890,780,631,306,673,899,
665,212,163,185,421,338,302,294,520,578,780,673,357,984,986,677,751,398,004,
769,822,715,834,175,616,577,129,532,357,514,239,158,136,691,974,294,177,232,
312,697,730,188,956,332,006,237,713,932,240,589,034,891,943,286,565,031,302,
453,295,965,885,693,021,674,371,091,030,815,243,832,694,179,694,641,479,806,
996,442,304,867,840,524,017,707,355,771,527,204,780,113,859,453,069,795,517,
816,048,076,881,878,001,581,539,526,663,421,824,612,608,582,182,950,831,856,
205,291,871,474,402,829,769,629,948,914,685,182,216,960,435,498,139,748,323,
746,067,142,985,294,950,185,403,015,951,149,501,030,504,651,660,901,882,598,
467,429,241,644,653,392,114,053,683,924,336,038,523,174,350,870,650,524,671,
578,943,458,584,660,240,997,633,541,370,895,614,848,056,524,274,853,586,034,
081,878,670,363,399,217,902,740,460,078,949,566,644,336,829,993,326,317,594,
036,034,579,506,563,929,922,056,221,342,820,303,521,265,658,852,726,050,602,
575,777,151,201,581,662,068,276,321,963,390,297,304,325,767,904,718,150,820,
824,713,006,778,218,182,040,051,996,292,672,754,858,527,389,456,556,865,390,
005,719,015,399,060,021,886,032,164,185,890,802,426,326,853,521,086,867,836,
805,536,606,334,731,845,437,973,393,794,648,593,251,166,435,288,529,388,593,
508,655,708,897,670,856,600,657,916,012,838,938,089,327,385,610,324,558,588,
588,865,859,207,616,372,369,841,022,527,197,598,245,896,891,255,973,123,058,
823,708,464,991,445,668,678,012,000,352,165,216,140,539,881,368,245,140,022,
233,662,500,329,476,822,186,027,035,863,208,996,643,962,468,535,020,887,100,
641,036,848,883,306,382,910,190,919,569,738,238,017,194,722,853,167,491,135,
999,364,084,635,485,613,220,865,379,630,727,247,849,134,171,852,014,919,396,
596,776,053,173,855,181,681,782,676,600,287,391,711,208,803,685,035,693,375,
177,201,546,614,603,671,264,564,825,252,851,444,157,901,212,588,544,475,663,
166,675,092,398,733,473,121,402,828,689,241,915,415,149,729,583,349,043,166,
783,567,628,448,984,435,193,326,640,162,608,457,747,665,551,901,583,498,119,
257,619,760,068,689,746,029,913,261,638,007,356,244,547,976,727,213,704,642,
072,654,830,321,963,271,566,018,016,551,254,571,215,146,693,656,807,685,216,
281,825,268,564,286,079,185,782,688,374,897,637,182,161,595,452,092,878,821,
406,104,665,239,169,670,720,762,918,710,748,760,720,587,005,869,818,253,012,
241,928,668,307,144,908,045,648,732,103,575,326,828,686,424,090,492,222,145,
819,129,529,788,241,256,878,600,373,082,504,430,581,333,035,965,644,873,280,
512,562,758,088,099,299,429,785,897,853,947,213,146,368,611,157,847,175,526,
561,495,036,697,171,829,643,892,670,764,687,718,150,162,001,399,239,881,668,
749,540,530,304,544,166,603,333,110,070,883,769,151,955,373,876,938,429,287,
585,023,835,328,655,741,750,866,665,415,673,219,193,346,022,306,223,271,411,
523,379,540,350,439,810,188,371,720,017,598,407,842,672,916,710,489,142,717,
259,620,491,590,742,589,024,078,071,453,768,404,643,304,405,600,632,274,871,
649,142,080,476,255,363,794,657,250,939,175,617,135,780,088,696,256,080,074,
886,472,891,342,371,056,768,714,856,568,595,133,709,360,009,492,496,458,140,
538,523,412,944,891,150,671,228,265,317,771,374,394,957,245,426,165,357,205,
761,638,453,258,242,821,592,420,932,205,561,209,040,956,032,108,388,270,301,
206,497,684,163,897,277,231,531,914,321,728,831,915,140,049,796,973,360,945,
566,432,243,890,636,940,437,755,945,021,950,398,743,333,690,816,680,831,377,
825,401,243,829,870,185,425,251,339,264,574,530,978,891,724,907,508,080,347,
305,227,387,767,975,223,894,858,434,353,678,422,870,256,352,840,164,669,566,
388,325,439,085,284,537,973,110,520,933,391,426,753,379,271,924,715,901,222,
798,778,203,548,832,654,211,899,455,130,076,971,962,121,122,370,867,788,735,
732,505,962,329,118,303,637,078,348,063,642,224,074,192,932,993,867,081,210,
352,161,187,125,392,351,590,217,552,230,241,948,534,943,242,888,414,773,558,
513,361,722,709,485,480,183,912,304,427,150,388,863,733,099,970,932,834,724,
978,520,052,440,507,417,321,907,008,845,633,988,123,409,685,110,940,153,440,
656,170,996,867,354,442,854,303,620,196,201,922,470,984,998,250,191,377,201,
418,184,458,554,048,589,215,617,686,936,717,287,751,013,750,544,747,862,858,
228,060,472,218,970,446,852,851,642,016,848,209,592,042,065,539,044,825,611,
493,638,665,048,984,199,875,030,113,214,004,493,444,421,445,658,686,447,272,
701,370,170,470,395,612,856,040,203,097,515,545,989,649,055,651,668,421,159,
924,396,891,273,765,415,855,373,694,742,362,464,254,620,224,845,461,873,694,
501,015,177,838,675,487,026,353,984,821,128,009,127,991,439,338,440,422,748,
519,695,708,756,326,658,718,171,846,774,141,285,770,116,726,675,906,556,247,
054,443,020,747,501,567,785,261,223,586,583,305,841,556,810,105,952,505,030,
637,942,519,138,717,998,309,280,724,523,678,834,162,792,278,030,702,201,619,
332,171,096,111,773,127,737,323,841,887,423,247,754,888,889,507,991,319,862,
483,721,558,267,230,629,021,596,461,461,957,279,562,738,130,571,549,013,670,
265,966,596,575,872,635,150,523,099,665,049,704,744,996,447,794,257,824,786,
060,160,882,875,679,750,957,936,591,482,602,363,089,427,312,286,535,139,928,
532,450,452,417,155,166,879,483,607,385,382,609,626,426,657,054,723,483,852,
308,017,817,902,601,608,554,870,823,651,884,796,132,744,125,729,939,272,528,
439,220,902,760,952,459,632,379,126,459,639,593,690,051,346,770,551,208,237,
690,860,828,958,416,055,773,537,275,646,023,713,088,044,794,286,890,804,636,
113,332,737,350,521,377,394,530,641,202,740,201,511,819,645,124,946,693,776,
672,471,654,823,008,039,462,891,556,619,833,299,219,432,045,215,743,989,989,
060,016,137,484,213,099,800,737,686,113,698,093,465,333,232,303,360,595,757,
626,077,599,092,944,739,294,278,870,176,394,435,215,053,937,335,608,453,535,
733,071,927,479,976,456,256,965,174,362,525,208,865,394,050,861,839,215,331,
108,613,049,634,372,343,536,097,739,242,776,591,585,253,386,342,926,028,708,
741,001,360,149,618,789,833,064,576,225,955,929,945,669,485,758,343,423,983,
283,614,575,586,850,024,766,120,370,872,586,451,799,737,465,616,487,203,401,
666,207,410,817,365,660,351,159,652,970,658,958,589,873,212,728,386,010,776,
930,014,524,404,085,386,082,814,467,511,379,158,029,137,931,912,454,642,943,
119,978,606,280,411,042,038,046,407,229,330,431,445,467,200,572,333,200,871,
072,621,975,253,375,196,471,315,460,817,106,695,501,805,781,337,484,257,579,
467,218,634,781,931,966,133,330,797,021,756,093,859,774,583,631,548,854,233,
881,670,190,303,333,199,978,145,553,801,736,046,889,434,409,759,675,881,385,
461,529,147,844,095,675,775,450,106,498,432,117,572,324,429,230,295,594,272,
173,896,563,870,802,453,582,183,699,009,898,709,331,730,131,081,140,180,155,
461,690,963,286,007,415,817,362,200,522,415,577,017,140,961,234,931,902,720,
498,817,373,716,049,721,311,029,385,465,891,600,744,055,708,305,138,175,122,
626,945,225,808,768,103,745,003,006,050,121,567,045,101,225,373,646,862,537,
617,407,509,604,833,902,279,583,521,392,881,318,460,525,058,640,203,797,365,
710,196,896,161,109,543,224,820,634,679,520,785,535,033,887,133,718,363,016,
378,895,321,987,863,759,208,683,089,944,573,037,733,717,434,368,755,082,435,
788,167,699,833,270,894,749,325,288,882,833,571,003,389,248,288,022,369,528,
191,290,504,175,381,825,220,112,935,655,351,742,486,019,424,389,219,692,670,
495,005,531,104,401,080,259,378,928,668,681,510,328,269,382,681,759,268,003,
401,038,394,757,042,798,977,016,694,026,561,510,868,030,822,061,009,660,353,
320,087,640,673,858,295,895,966,680,858,766,937,548,699,442,315,923,170,250,
396,725,800,326,153,101,783,675,073,236,680,838,357,713,213,015,538,982,498,
191,775,752,743,983,664,013,300,577,447,597,392,263,820,553,858,840,570,109,
944,349,031,987,575,770,712,433,818,477,116,614,981,909,590,114,966,761,127,
523,796,786,032,329,751,119,336,258,257,524,947,454,912,353,927,362,516,045,
761,138,218,447,598,028,903,875,246,653,988,108,492,469,686,870,934,960,035,
973,511,910,776,233,301,503,735,035,247,044,103,015,264,413,252,466,950,928,
053,655,289,882,450,786,796,341,110,326,187,628,324,426,955,756,872,010,753,
884,527,320,433,836,729,975,806,256,958,589,887,574,010,622,206,412,061,646,
867,468,654,774,631,539,438,392,452,271,189,846,076,657,577,826,167,838,856,
889,672,953,567,597,365,151,035,710,408,483,753,700,852,706,696,752,653,955,
867,161,250,216,261,034,319,627,977,014,519,811,427,732,082,712,989,386,025,
454,938,530,406,142,891,693,549,534,673,957,232,275,583,232,670,162,551,505,
908,177,888,752,241,587,663,514,818,140,360,766,647,889,712,769,237,254,889,
759,869,027,053,478,117,143,833,695,173,651,330,091,654,238,172,911,844,793,
062,093,251,245,575,940,795,812,891,010,775,639,778,795,515,025,938,746,991,
255,425,516,541,080,695,864,090,566,439,999,319,794,392,670,530,133,914,353,
625,646,707,880,455,011,445,933,020,387,190,381,529,611,032,270,254,245,925,
353,438,549,039,015,680,103,320,439,123,071,604,400,016,360,013,629,030,434,
505,344,707,115,503,839,510,419,569,255,388,651,154,095,233,533,138,560,870,
798,545,991,336,461,265,171,518,815,464,337,079,426,539,165,729,844,202,738,
249,764,064,900,647,363,900,317,889,991,191,996,078,670,191,096,731,704,046,
810,229,720,144,166,778,065,736,914,672,188,845,971,667,076,754,641,760,708,
999,253,728,050,603,901,264,600,837,007,914,693,296,717,165,611,207,761,337,
834,958,489,196,856,616,893,254,334,025,493,933,652,889,392,985,172,411,966,
365,318,750,516,432,246,391,500,964,064,192,864,556,673,234,677,914,314,280,
308,857,895,006,722,992,998,436,141,332,850,094,417,468,563,643,585,742,893,
038,411,795,783,387,709,776,893,517,981,062,300,918,823,631,536,551,057,725,
351,278,572,090,523,811,084,876,894,697,220,339,703,399,812,837,917,977,583,
168,405,731,093,143,654,060,785,414,149,757,230,342,398,886,340,255,072,033,
587,404,289,429,354,926,438,218,178,600,506,802,803,236,974,221,950,586,012,
801,832,811,805,536,304,331,332,077,024,089,418,676,179,886,787,549,259,129,
383,350,993,409,730,713,651,264,726,654,478,921,586,347,506,424,796,545,577,
945,171,826,387,239,988,952,973,078,463,714,740,744,883,864,290,595,347,851,
873,060,046,592,633,087,097,895,218,381,335,840,976,389,798,996,996,057,830,
649,696,626,447,213,493,492,659,694,034,908,023,399,153,027,530,502,151,199,
029,547,472,483,456,473,280,023,714,764,902,055,675,156,696,016,171,464,354,
301,412,005,589,533,369,762,879,541,824,088,576,507,074,766,215,633,386,508,
540,807,561,439,390,715,920,674,453,142,774,548,344,572,613,081,615,236,780,
989,793,090,969,951,751,842,906,708,750,784,064,433,400,167,650,309,353,219,
582,141,954,224,878,530,662,991,990,492,881,416,254,649,762,542,095,979,612,
500,205,846,828,772,696,391,923,199,025,197,579,658,036,768,480,082,769,466,
053,782,652,873,462,616,655,868,605,626,699,423,167,865,070,993,741,819,475,
362,561,385,966,598,805,590,850,060,820,609,231,788,034,907,896,547,247,562,
817,514,676,715,394,334,237,558,623,974,228,788,173,967,676,293,246,915,065,
601,645,138,412,136,741,725,897,794,323,767,963,119,256,560,097,689,815,192,
708,007,839,839,503,719,667,152,947,041,396,471,706,368,192,225,935,514,966,
354,788,897,124,103,545,708,490,491,076,960,418,602,580,713,819,395,755,144,
196,299,921,908,725,150,169,212,991,278,267,593,889,619,969,812,308,936,571,
736,789,955,478,409,376,623,691,928,695,588,026,635,656,346,388,425,016,776,
721,303,935,946,829,419,743,971,106,437,371,323,552,292,722,640,715,202,856,
950,328,158,633,193,287,208,161,073,117,103,957,485,449,404,902,531,214,744,
941,108,655,706,063,302,688,689,326,698,117,328,743,744,644,073,222,310,602,
821,057,499,913,344,721,586,705,406,497,731,142,173,867,977,156,598,094,605,
670,842,306,719,381,900,673,748,243,356,599,098,182,174,921,855,774,210,928,
614,694,986,930,757,106,214,044,360,362,321,262,202,147,669,486,046,734,682,
574,640,818,296,485,266,803,245,260,480,458,519,408,263,044,282,595,409,288,
115,250,605,022,203,969,651,669,970,015,101,770,516,695,018,712,356,388,320,
663,231,801,344,114,645,078,017,677,305,082,251,857,983,221,476,598,286,014,
288,551,136,770,180,286,439,518,452,246,693,712,868,172,427,826,027,279,353,
493,227,028,022,393,070,675,521,279,128,543,531,695,532,066,210,120,655,573,
274,434,369,294,574,745,908,427,753,282,050,828,021,123,219,984,442,130,568,
119,145,231,457,597,991,824,506,933,367,175,853,976,967,300,811,350,591,908,
521,836,767,618,894,151,529,167,081,842,827,096,315,572,895,363,221,727,736,
257,713,094,457,769,761,509,563,533,437,352,877,284,228,613,535,915,223,100,
658,034,941,952,366,760,764,174,133,816,599,226,256,907,028,825,396,994,499,
051,052,744,683,055,642,128,833,427,228,678,996,659,212,099,909,280,407,568,
837,075,262,144,254,905,690,295,299,839,749,022,196,109,907,691,504,194,697,
831,624,793,179,006,610,039,843,563,206,601,093,783,500,903,150,647,647,656,
266,019,748,942,708,223,705,231,630,561,054,920,841,977,676,973,817,608,926,
006,183,706,591,795,820,188,991,663,110,960,063,682,724,353,527,887,338,453,
419,887,549,399,982,977,814,580,332,021,466,514,380,910,549,959,748,621,129,
209,667,987,326,346,580,020,791,207,550,559,084,541,722,200,437,905,443,124,
672,361,822,963,648,773,461,337,805,659,657,044,359,715,293,900,203,160,195,
803,324,165,567,219,282,363,341,126,504,092,153,058,965,292,180,223,510,034,
760,234,148,513,324,621,775,657,974,559,518,188,380,056,858,117,423,143,437,
335,277,841,541,446,991,488,066,002,611,723,243,657,500,908,382,359,103,225,
778,186,497,093,627,412,869,020,529,760,414,231,720,279,660,119,652,393,625,
995,868,238,670,237,267,186,267,464,344,360,815,660,924,883,297,065,747,162,
930,331,621,262,930,009,940,447,615,273,526,997,204,149,522,300,884,864,154,
210,859,052,718,666,944,103,240,608,249,587,303,958,934,020,857,747,588,716,
718,115,028,513,784,049,847,316,234,761,606,397,523,559,059,478,683,188,893,
795,172,857,271,847,827,265,868,059,065,480,929,553,022,194,244,756,795,564,
081,797,594,511,662,490,327,271,712,690,892,952,983,100,284,931,794,173,380,
471,753,453,418,092,811,346,241,013,404,825,846,888,378,212,852,543,459,447,
444,121,252,915,943,472,551,953,151,040,990,202,929,340,667,375,116,372,573,
974,359,689,234,072,123,225,839,682,113,352,146,282,574,110,700,730,599,270,
166,113,605,978,074,818,935,941,495,604,310,880,829,923,285,581,574,956,103,
892,147,136,603,878,683,513,440,315,742,767,314,652,373,947,500,800,669,654,
281,990,649,859,960,155,721,176,252,410,990,367,058,686,658,593,347,769,134,
263,467,736,434,462,043,583,483,197,323,093,125,225,014,870,604,208,451,950,
632,935,468,262,539,608,324,745,388,564,343,080,419,592,716,929,104,554,851,
819,239,646,306,597,287,120,735,240,260,115,620,487,765,969,676,539,031,916,
970,939,240,377,945,786,155,775,524,445,840,752,197,947,244,595,263,638,035,
240,566,660,565,752,815,295,928,686,873,997,588,767,846,262,498,383,936,207,
238,392,675,139,418,631,389,320,012,138,324,902,826,974,266,011,830,278,206,
243,687,216,098,691,596,694,614,178,674,233,271,924,193,347,880,837,085,607,
601,920,428,160,187,197,249,168,465,109,961,397,223,344,616,250,358,668,593,
228,866,279,231,118,031,566,413,054,485,810,143,375,423,854,717,452,597,057,
956,303,885,564,534,409,489,952,798,196,623,525,641,501,336,258,466,898,342,
080,654,346,640,081,091,384,168,157,958,702,133,125,865,237,841,641,376,145,
304,496,658,137,380,978,147,101,727,639,103,286,122,983,244,030,894,074,143,
311,007,031,502,044,738,171,943,120,172,973,133,695,149,035,737,780,637,277,
577,876,253,172,861,282,728,641,836,960,010,277,979,805,736,134,709,459,495,
031,499,767,243,335,774,260,722,017,560,129,708,426,421,326,473,334,745,259,
933,914,117,316,429,044,491,768,832,751,935,116,775,998,773,803,983,235,793,
428,404,838,126,841,868,537,836,485,280,908,795,277,674,397,588,344,839,836,
155,574,335,254,329,930,104,891,463,381,125,952,336,301,342,209,485,752,585,
396,688,271,162,189,110,179,865,363,698,487,348,418,340,002,854,544,967,890,
078,430,649,115,495,354,062,372,017,019,425,512,888,713,313,292,225,002,457,
346,364,412,287,261,415,707,780,169,377,891,343,841,136,560,467,274,512,278,
452,435,884,350,898,084,906,492,500,966,856,162,884,727,505,105,032,053,979,
576,361,015,939,470,025,063,501,168,454,452,413,494,035,363,648,280,571,785,
285,495,837,138,846,133,770,051,915,642,142,353,613,160,688,765,939,744,804,
078,156,331,957,482,396,564,983,536,846,184,380,727,751,573,720,599,623,012,
942,093,803,587,750,918,400,734,395,584,389,870,786,223,561,103,161,941,466,
028,742,215,641,554,332,494,212,968,818,409,920,723,185,402,724,614,658,365,
636,977,281,007,091,464,706,843,879,163,539,824,908,175,956,023,968,320,192,
025,465,507,649,893,862,053,734,877,766,755,786,034,701,857,039,516,966,552,
779,304,453,800,378,301,871,929,005,094,219,340,313,076,586,875,264,011,652,
773,152,323,767,868,451,477,102,421,181,271,704,698,036,690,527,561,671,053,
985,140,615,508,238,114,825,058,965,257,922,318,812,539,233,562,019,425,913,
916,145,961,890,188,316,519,696,439,171,778,803,193,541,170,430,435,808,257,
606,112,996,503,023,814,251,634,152,978,168,434,377,307,004,844,612,982,071,
701,708,820,883,812,888,441,797,398,816,829,245,445,810,538,305,468,890,349,
310,475,299,350,891,816,519,800,556,251,564,301,087,281,817,809,134,712,872,
158,320,529,292,999,186,013,780,179,234,518,149,276,566,173,476,475,270,326,
075,601,713,182,332,616,278,320,593,320,639,972,101,881,907,101,084,161,666,
683,942,128,524,461,784,307,022,301,197,497,397,625,167,008,102,370,096,771,
143,954,242,071,681,725,366,065,098,020,702,898,570,489,280,048,463,340,931,
916,712,966,831,709,796,785,744,415,573,921,424,783,535,816,982,202,097,494,
959,410,295,311,853,753,174,696,626,309,716,700,344,885,910,356,930,403,526,
478,293,777,522,594,940,623,786,113,984,102,919,327,856,325,057,343,397,393,
134,193,108,306,539,664,719,481,477,719,424,997,396,679,375,191,364,929,430,
408,858,681,883,070,048,514,372,243,627,312,487,095,441,999,752,709,617,780,
692,549,867,555,135,890,994,670,005,944,185,144,355,524,674,274,477,030,608,
543,638,279,364,251,557,899,809,912,562,886,609,017,453,364,889,862,910,284,
028,381,726,502,235,217,384,348,432,004,125,651,606,229,057,406,108,524,449,
235,176,032,014,033,812,666,119,535,858,847,435,398,711,686,834,960,209,289,
110,686,091,063,317,209,331,822,141,911,728,959,068,599,561,976,274,170,141,
522,442,139,242,618,884,422,493,507,913,980,109,982,324,575,190,149,642,436,
750,425,300,317,527,121,169,100,775,058,948,478,054,667,012,001,663,204,900,
862,733,862,739,077,386,336,261,228,547,542,651,389,816,951,732,516,759,641,
942,498,470,538,431,456,593,663,405,094,085,621,436,143,445,770,239,100,949,
771,268,007,350,157,880,779,659,019,657,455,712,741,727,617,176,368,828,148,
163,781,360,590,441,551,379,058,228,321,771,150,395,647,058,824,079,290,926,
043,783,032,222,484,462,658,367,886,933,284,800,795,333,037,549,933,821,853,
245,665,419,561,092,212,320,951,543,399,491,624,853,506,197,064,991,450,340,
329,024,483,251,916,169,413,939,479,155,245,811,882,827,360,733,801,709,073,
742,374,844,547,647,226,701,802,513,469,372,613,338,486,988,146,798,738,015,
527,043,201,757,715,219,584,436,723,870,637,518,114,662,883,202,445,813,524,
918,680,195,046,840,077,566,103,876,141,168,518,559,215,590,005,469,065,637,
966,248,422,311,493,307,980,119,395,019,999,366,012,268,681,927,917,872,920,
078,217,040,249,611,209,207,787,905,464,854,466,759,374,936,335,111,359,875,
125,711,570,807,821,165,995,340,718,752,259,256,185,005,715,142,046,422,730,
262,957,134,465,426,633,829,456,642,695,914,892,075,074,781,593,819,991,632,
077,983,784,502,069,463,290,390,192,395,584,001,172,938,521,797,589,147,528,
345,947,987,421,665,007,062,174,132,495,706,326,306,470,338,648,225,937,005,
651,153,562,430,671,483,697,831,978,238,334,842,390,287,252,473,264,808,846,
381,089,131,937,499,573,953,536,143,056,261,969,447,420,975,123,209,887,027,
541,275,219,124,160,909,393,976,893,701,627,236,864,635,459,462,920,779,372,
016,118,578,566,937,343,849,704,283,410,676,954,038,531,540,011,126,684,620,
239,574,847,959,999,781,719,591,575,858,717,194,321,666,890,745,317,766,064,
885,092,029,516,014,401,391,828,085,781,201,061,009,185,645,829,755,859,996,
491,877,797,986,856,166,793,206,842,295,931,993,990,024,608,930,780,422,865,
817,089,577,922,430,092,258,518,210,583,122,421,121,296,563,073,173,837,262,
369,097,133,263,946,762,289,682,128,545,119,433,590,918,468,703,099,456,472,
069,663,497,479,837,573,446,416,036,829,540,375,414,389,562,948,118,514,263,
680,592,514,156,626,796,373,339,600,026,453,615,928,086,500,431,699,074,074,
670,805,337,420,700,783,259,908,616,855,013,924,100,355,956,252,997,992,920,
150,093,184,047,120,226,822,182,970,075,967,721,502,369,202,678,364,874,265,
668,873,872,793,349,199,018,926,076,951,310,012,857,951,915,040,650,389,211,
676,774,936,317,137,873,936,613,524,305,890,987,764,167,411,475,486,590,534,
627,076,571,546,741,389,322,193,312,973,944,620,844,843,421,784,845,322,314,
905,810,352,157,200,557,051,711,247,337,772,703,676,125,480,693,886,422,910,
625,388,766,626,757,966,255,463,561,943,779,088,854,561,205,171,902,035,309,
967,639,018,461,701,728,139,486,544,096,725,728,041,687,238,363,800,974,779,
218,057,298,258,908,626,470,018,387,103,867,108,593,097,200,244,860,601,286,
583,655,190,160,109,457,855,356,025,815,981,722,280,778,182,839,699,044,098,
354,325,845,873,626,287,040,437,826,957,403,897,821,814,992,239,506,261,346,
062,686,443,595,239,245,322,971,031,330,369,050,234,184,139,008,044,445,802,
285,850,268,058,547,270,860,719,146,491,555,587,739,821,373,310,056,505,280,
455,944,424,038,442,698,182,609,433,462,441,174,736,366,936,534,318,734,756,
097,909,477,537,614,282,535,214,759,799,011,055,975,766,896,981,910,528,637,
032,006,624,117,517,577,040,575,450,864,784,598,164,263,331,601,112,606,622,
105,737,802,307,132,197,300,768,378,741,640,182,628,262,937,465,661,642,009,
465,593,946,273,283,134,507,947,889,074,747,476,593,266,962,187,877,843,359,
178,778,321,236,783,802,627,145,874,286,684,562,774,672,032,115,408,953,340,
253,236,500,864,938,247,590,885,606,552,165,944,541,331,637,818,799,691,597,
982,407,902,352,571,255,774,752,735,810,228,124,903,628,232,028,152,453,143,
370,330,171,269,804,982,061,969,113,637,449,192,719,860,832,548,407,945,142,
382,480,122,811,454,802,113,953,826,899,379,487,168,241,140,985,142,971,126,
689,633,276,668,817,474,230,098,020,148,929,718,090,009,467,866,630,025,553,
872,188,261,305,573,346,915,443,808,296,240,713,772,930,042,894,802,738,524,
887,805,563,554,692,765,945,462,385,694,818,956,430,490,227,000,067,153,923,
008,038,300,139,465,990,935,770,027,769,836,256,280,124,436,376,466,559,566,
720,618,390,882,446,192,743,635,965,240,806,533,506,280,912,281,400,845,971,
309,953,539,135,707,292,906,267,900,266,558,364,616,129,173,267,103,700,459,
794,648,939,075,829,821,393,802,019,815,360,561,294,066,930,760,852,578,421,
943,740,355,917,340,831,308,595,924,050,552,142,113,459,182,374,313,406,390,
640,794,873,750,073,913,249,396,669,903,880,415,722,899,348,812,426,129,500,
071,826,646,436,963,074,702,682,137,599,559,587,178,539,375,274,250,020,922,
518,475,939,741,103,002,353,434,133,457,111,633,288,949,161,810,078,344,981,
100,506,234,413,785,266,344,824,118,949,820,867,006,624,412,981,839,005,304,
835,868,468,718,742,000,110,418,674,602,538,712,228,937,851,026,926,737,037,
983,462,913,111,921,067,988,297,422,288,249,422,110,949,240,316,246,026,246,
431,582,568,509,235,409,224,813,418,520,567,810,400,873,623,953,066,393,169,
037,147,432,840,114,294,882,834,018,400,766,094,840,889,571,587,453,291,807,
210,544,950,694,527,723,707,462,804,640,298,693,823,104,489,105,352,049,124,
358,142,886,513,721,245,220,200,738,673,501,798,205,995,729,781,088,357,197,
845,800,876,995,171,911,892,557,881,077,125,739,677,620,388,698,352,949,962,
971,003,352,687,595,294,921,112,634,251,244,097,580,293,715,280,893,306,727,
738,980,881,244,283,278,404,029,116,465,012,101,395,429,929,294,793,875,274,
457,422,963,507,243,391,522,122,368,917,343,934,102,503,124,619,579,311,366,
978,133,914,639,998,710,895,149,485,486,970,816,242,299,395,561,873,349,378,
068,042,811,174,966,270,125,581,570,561,089,885,034,503,810,396,178,725,199,
653,906,162,999,011,418,576,702,066,538,332,854,512,382,317,391,390,997,779,
402,460,932,386,236,271,507,772,389,428,277,151,469,577,566,021,216,243,468,
993,513,778,465,945,632,960,225,220,628,482,998,566,672,412,540,301,657,091,
819,526,036,261,473,140,152,632,892,249,852,857,684,470,526,749,288,882,028,
337,921,646,104,693,230,415,151,756,648,586,559,925,491,331,882,876,441,526,
502,230,350,866,741,916,646,289,735,015,916,498,106,699,272,908,471,380,899,
471,694,122,448,548,805,288,129,733,361,269,770,353,643,927,274,304,199,092,
014,050,018,983,708,998,873,714,499,379,192,419,446,464,971,156,956,725,754,
361,285,421,072,329,216,792,393,523,548,878,411,443,670,623,732,262,890,345,
538,125,147,311,776,918,329,054,300,765,830,390,158,488,317,008,897,625,552,
268,416,128,054,662,537,885,153,818,450,976,178,202,290,596,426,676,570,720,
253,875,521,249,542,164,832,587,311,369,348,293,148,464,711,760,027,877,205,
765,449,678,545,790,096,015,229,014,687,773,697,953,741,615,429,030,516,356,
665,183,213,030,408,008,078,312,474,581,298,064,660,192,458,335,961,719,370,
691,881,594,412,747,205,533,946,919,340,155,930,690,537,058,292,553,667,823,
253,268,001,674,263,119,365,662,628,849,355,025,753,389,959,760,380,175,044,
893,126,257,114,614,496,560,473,481,881,778,415,241,027,270,653,180,227,238,
582,830,850,818,131,875,168,113,491,762,476,048,014,685,627,072,203,548,154,
701,814,381,506,802,321,237,636,960,932,366,120,917,528,332,173,134,026,680,
470,536,378,496,482,530,072,925,722,323,854,548,542,198,236,226,076,077,318,
790,744,717,386,924,084,340,866,838,076,295,777,646,230,261,856,245,532,937,
810,380,766,306,576,137,868,014,469,564,559,260,161,776,539,929,077,787,654,
654,821,717,554,782,929,680,722,918,292,350,949,230,358,439,270,434,643,931,
496,615,738,291,375,388,147,344,923,227,241,578,302,801,014,006,912,983,273,
283,607,952,328,728,405,115,349,559,470,148,081,074,000,401,771,290,314,947,
805,992,094,169,025,319,823,478,897,862,020,792,705,678,950,570,498,808,761,
372,107,639,757,651,178,141,230,116,755,187,947,935,634,691,470,591,112,974,
022,002,331,380,370,645,735,900,897,777,847,612,756,086,301,281,442,940,407,
691,885,798,099,659,058,920,024,620,262,449,925,339,074,630,908,333,395,984,
337,024,943,122,398,340,832,241,956,522,635,293,010,655,447,417,559,156,303,
239,980,996,669,298,316,561,614,573,715,559,671,514,908,650,296,612,497,738,
092,462,886,668,310,398,708,913,390,202,818,788,579,438,667,772,192,579,197,
314,367,227,333,807,323,464,303,702,782,539,678,284,580,836,720,280,051,589,
143,804,845,301,881,926,426,565,027,762,322,623,261,054,977,373,313,883,312,
130,783,833,484,556,965,242,948,298,519,547,183,557,248,389,598,746,323,967,
979,476,321,116,566,202,954,761,119,833,001,114,058,984,712,402,131,036,742,
459,701,626,222,903,926,435,247,835,094,128,791,049,724,607,260,045,801,345,
139,790,334,595,599,573,992,285,458,926,346,769,620,919,927,119,410,098,075,
229,585,209,011,809,960,431,283,991,265,430,162,663,172,215,536,826,396,447,
892,911,268,382,428,499,702,903,661,344,708,277,456,965,924,732,027,443,597,
011,725,290,942,235,239,789,595,095,827,537,507,234,717,257,134,558,217,058,
706,504,486,777,788,515,273,587,600,672,792,723,268,387,123,161,722,141,436,
736,589,957,450,421,306,769,533,496,018,960,382,352,641,836,101,771,301,532,
728,815,695,496,209,190,956,293,460,516,531,322,579,114,184,451,562,260,505,
683,173,424,381,086,473,754,000,927,037,497,102,858,513,123,506,964,139,676,
094,156,271,978,742,839,310,237,178,063,950,980,711,237,370,146,401,502,057,
312,350,786,651,187,286,974,976,049,262,533,325,452,583,857,063,822,702,662,
192,587,794,855,704,557,354,441,050,703,043,788,998,615,541,921,636,372,411,
084,539,246,443,739,896,441,553,950,284,551,164,466,084,642,151,700,541,873,
900,472,652,377,026,581,156,541,863,508,086,398,943,925,397,430,010,846,247,
130,002,708,440,626,586,194,365,373,486,815,049,870,176,214,606,150,713,047,
616,775,716,947,370,154,345,384,076,139,315,924,415,541,427,637,390,677,327,
412,149,729,110,845,047,544,744,822,023,359,678,624,257,678,517,403,685,066,
978,258,554,026,522,595,544,540,404,591,897,788,477,621,135,282,709,944,420,
413,932,794,025,419,875,034,203,894,395,366,313,746,434,468,555,353,771,071,
355,954,636,588,526,018,191,188,350,167,063,306,136,070,050,469,946,188,375,
229,150,591,533,271,108,244,366,780,334,282,069,406,766,221,043,806,953,176,
646,298,848,527,238,442,291,258,265,147,888,850,405,100,261,541,530,916,833,
206,740,285,783,391,416,777,955,897,213,129,514,207,684,712,698,059,474,726,
337,467,502,392,303,922,361,126,190,783,634,378,378,263,747,144,535,620,847,
742,625,324,760,205,410,309,209,910,210,630,455,948,515,650,211,541,980,707,
513,327,361,415,483,146,598,556,835,315,756,516,593,780,553,520,302,676,499,
118,127,269,551,899,248,418,666,005,624,334,796,807,431,366,442,346,520,795,
105,515,461,276,196,836,568,302,917,760,068,683,318,989,420,559,619,730,162,
695,549,288,645,418,964,130,144,994,355,651,573,311,321,692,030,966,221,486,
006,806,405,032,782,558,219,024,767,123,564,977,299,908,266,596,111,947,145,
090,559,500,040,446,308,262,257,421,278,878,446,390,986,440,709,500,393,821,
028,731,895,828,239,728,303,075,519,463,488,713,197,683,388,175,276,503,679,
819,724,925,340,107,014,604,813,322,130,058,679,547,016,058,465,534,810,691,
934,672,591,543,078,012,419,347,137,259,440,867,474,219,107,352,677,370,129,
464,559,627,264,635,675,041,285,564,691,842,174,590,779,450,048,104,170,834,
574,982,754,495,622,350,757,863,574,945,224,795,329,261,605,548,712,585,388,
590,104,762,160,252,932,591,882,201,723,485,673,098,858,690,505,774,408,156,
895,523,441,727,392,226,043,435,329,972,662,170,682,397,613,693,935,624,246,
827,876,138,944,858,719,471,646,790,896,882,902,266,344,328,489,398,522,766,
827,504,777,098,238,450,324,579,422,393,176,850,124,660,743,636,010,463,101,
207,441,314,937,725,223,547,348,692,540,035,985,542,404,962,206,120,362,417,
838,090,055,092,391,185,945,143,930,478,836,875,575,937,131,163,184,290,799,
512,250,520,921,544,764,944,267,029,107,825,038,719,163,340,760,859,766,156,
728,878,416,195,245,148,608,613,231,101,509,695,844,762,285,310,376,706,681,
623,270,378,792,576,791,693,716,853,345,105,960,096,804,919,034,467,901,595,
814,752,512,420,087,214,707,311,989,218,123,888,659,923,564,264,641,121,891,
701,610,122,609,646,835,644,935,896,040,113,221,131,627,227,396,228,345,473,
813,142,249,945,882,786,199,190,687,624,677,952,846,906,736,036,051,334,786,
147,238,029,767,054,412,322,092,408,753,348,253,751,572,886,280,380,719,965,
445,053,126,217,666,858,619,388,804,578,492,876,197,112,715,972,928,106,252,
774,063,512,807,561,658,780,222,186,199,308,308,276,001,117,977,377,864,959,
426,976,492,530,407,725,672,317,210,915,666,277,870,379,650,208,225,911,783,
498,907,016,881,041,293,157,288,029,025,082,007,079,583,207,334,666,125,274,
889,021,108,379,952,836,514,499,179,703,347,862,612,666,039,208,717,082,041,
790,787,997,415,968,299,319,939,823,352,445,557,124,365,522,846,329,301,769,
545,312,822,563,270,598,198,317,967,278,513,204,835,680,577,750,964,911,538,
777,845,329,216,167,002,024,586,825,314,467,475,616,424,427,082,317,065,235,
013,430,084,521,187,678,256,977,745,950,168,031,995,010,321,101,951,789,850,
415,262,266,238,163,123,125,382,468,037,913,680,456,252,362,213,576,016,910,
793,579,266,585,080,801,248,708,437,328,602,254,161,861,864,407,457,685,842,
602,658,230,949,094,706,719,665,980,264,816,562,243,400,954,277,107,569,635,
846,938,836,236,188,842,273,528,240,935,394,859,463,354,248,528,915,036,809,
954,243,841,787,902,018,114,908,633,473,179,278,737,350,166,233,680,859,469,
663,036,168,320,057,946,669,435,477,344,392,609,873,791,576,251,151,147,509,
779,079,012,760,581,183,739,496,600,615,061,327,812,909,016,255,210,483,376,
964,831,611,189,339,947,205,680,410,840,436,482,607,006,569,946,178,141,971,
974,599,430,581,028,633,703,833,646,842,017,405,505,316,924,659,064,296,672,
552,404,073,472,033,218,936,246,711,703,878,708,967,015,211,068,560,150,390,
142,394,530,811,306,613,817,304,217,491,580,976,767,835,266,290,537,392,440,
861,312,971,649,079,409,466,302,764,568,687,861,392,461,570,934,478,241,641,
637,321,893,379,033,926,291,647,754,054,368,205,446,539,957,608,587,613,138,
267,216,795,100,416,533,175,445,899,326,547,510,233,418,915,955,214,353,793,
582,016,390,602,077,321,620,101,609,511,259,980,423,328,024,825,724,935,346,
724,197,260,755,071,680,985,884,142,983,305,724,360,184,353,899,754,954,353,
442,993,440,597,728,275,728,647,095,120,983,168,294,271,973,011,200,384,916,
937,291,744,155,531,769,958,419,308,995,917,079,786,721,943,651,578,764,692,
028,044,932,695,792,792,340,948,207,350,144,479,759,993,460,558,673,925,060,
890,641,403,822,863,097,602,687,240,738,784,896,779,846,243,148,933,756,511,
570,919,981,339,142,024,726,479,352,756,256,116,782,128,297,146,342,310,959,
680,403,298,916,499,633,403,405,457,187,484,085,631,016,548,918,276,552,394,
080,687,021,272,954,421,082,069,626,530,508,086,715,577,518,318,861,585,800,
107,580,260,387,726,196,986,921,637,685,921,903,227,671,237,036,504,751,334,
831,483,394,701,460,247,673,346,798,214,960,514,065,626,775,958,654,472,170,
899,487,026,127,476,040,943,954,637,612,707,071,590,200,796,422,166,900,119,
085,070,166,692,606,704,112,913,544,276,727,915,627,502,958,494,266,835,138,
752,285,896,105,367,066,361,006,863,221,018,114,288,963,470,821,977,247,566,
195,917,507,197,303,062,599,501,287,614,144,943,468,519,664,682,148,843,341,
908,658,735,983,238,901,775,266,551,832,799,944,517,158,466,640,904,977,747,
955,203,864,905,607,769,755,572,667,628,810,647,140,380,257,857,794,554,099,
891,722,004,322,926,757,384,520,345,281,523,883,908,582,241,811,050,602,475,
523,463,620,431,588,880,340,744,983,723,278,692,515,911,228,552,578,444,025,
342,535,797,421,429,322,705,319,151,766,589,792,420,585,387,233,967,434,598,
238,144,201,356,204,714,774,764,723,255,766,221,464,454,253,232,580,372,257,
165,756,790,889,416,852,905,100,367,627,386,356,300,964,889,517,012,812,433,
496,133,104,445,685,818,830,702,174,097,710,655,463,152,463,370,054,817,461,
956,608,654,450,698,223,775,247,850,418,343,165,657,295,396,977,067,431,415,
637,959,915,998,747,039,835,918,100,908,895,791,675,570,464,509,897,727,145,
456,379,889,436,815,733,634,245,570,582,538,839,133,343,598,348,480,856,570,
502,383,746,776,694,443,472,537,406,944,764,759,712,204,246,569,285,595,227,
737,179,043,418,210,683,543,884,653,467,025,469,712,612,552,278,870,694,985,
334,566,116,987,731,444,663,099,777,040,889,995,160,213,627,505,431,584,834,
728,228,629,715,718,874,524,001,747,405,947,435,359,640,601,410,486,777,469,
638,016,019,526,319,947,575,948,582,344,765,365,139,902,270,804,456,046,398,
982,905,034,597,425,235,126,416,218,636,214,483,513,930,177,254,784,027,182,
702,949,108,203,731,253,186,555,528,041,499,637,051,710,743,804,832,042,928,
973,194,892,713,115,940,288,090,416,775,050,175,782,281,749,017,903,770,655,
211,048,330,450,504,508,517,686,132,553,052,087,679,654,250,957,646,927,670,
992,785,917,533,332,623,563,230,236,722,692,925,372,885,534,680,040,342,165,
963,646,768,257,094,876,465,177,196,105,938,819,226,370,474,611,042,897,386,
840,541,959,926,235,348,069,149,825,301,177,899,192,055,243,835,978,656,984,
545,220,648,081,725,144,707,570,562,547,332,461,672,515,726,009,623,506,274,
853,074,779,667,668,024,163,493,827,369,082,740,196,939,183,578,806,856,802,
174,862,259,562,247,915,561,875,011,095,090,483,223,455,217,606,734,398,933,
650,308,319,122,421,906,297,713,879,416,924,962,479,850,027,683,744,420,547,
411,879,700,718,365,085,272,023,311,455,792,749,564,232,269,780,616,178,826,
726,746,602,856,807,553,161,047,248,968,426,702,827,363,834,002,030,030,845,
049,152,114,206,433,880,876,936,627,320,040,406,153,044,014,564,812,379,721,
024,660,520,508,669,078,591,139,043,059,815,903,298,542,337,467,203,491,609,
602,556,888,135,185,988,255,008,369,614,351,944,003,679,715,122,936,613,055,
980,438,109,900,428,282,674,412,779,713,708,606,830,659,488,953,533,147,586,
956,239,154,029,256,344,398,349,115,111,425,087,898,146,534,642,861,719,619,
143,982,924,688,896,287,990,150,604,289,685,385,509,029,628,518,487,681,952,
035,317,216,929,787,636,346,251,627,591,663,519,625,484,724,987,763,234,975,
906,948,231,839,872,350,844,182,786,361,450,563,490,116,026,281,578,897,031,
747,561,585,584,792,009,852,621,935,469,848,158,684,889,160,186,944,087,513,
506,209,570,513,902,964,928,992,057,005,944,527,931,108,240,439,372,750,286,
432,333,722,401,812,995,342,492,421,601,740,204,184,787,369,039,153,197,358,
230,289,893,448,214,366,669,282,967,690,054,757,810,396,784,667,386,870,606,
993,847,972,476,402,124,846,688,665,983,552,909,014,483,776,558,895,988,043,
120,016,816,677,093,750,630,977,454,649,029,627,424,821,498,721,916,692,544,
302,052,792,898,899,841,941,646,363,679,414,001,515,328,936,497,359,107,847,
210,727,521,074,710,653,014,093,606,100,797,045,802,085,464,406,920,169,485,
477,465,577,256,097,516,394,115,428,904,491,259,432,200,941,403,505,585,978,
529,144,406,894,969,482,428,848,711,683,504,863,503,654,912,772,456,091,993,
859,760,734,259,053,854,660,213,157,620,400,227,134,055,399,055,121,134,513,
571,511,658,326,980,837,534,945,801,166,667,733,259,237,943,327,373,951,463,
180,613,929,929,742,788,400,118,142,273,380,893,593,937,998,878,293,193,782,
849,965,064,139,499,977,066,749,415,159,731,622,031,433,679,184,612,613,276,
357,115,002,707,777,285,433,987,299,636,835,542,179,425,892,198,031,738,893,
438,554,850,181,097,014,748,793,406,710,310,251,619,630,712,036,719,731,046,
165,445,451,315,068,790,931,975,913,912,169,488,477,725,556,815,103,004,458,
385,820,806,350,858,268,105,815,201,039,115,476,740,745,385,060,798,678,433,
403,783,094,578,570,909,306,469,284,607,246,403,766,883,150,748,526,940,144,
892,658,788,657,497,410,054,862,543,796,442,291,220,480,906,864,677,475,443,
372,962,036,422,232,382,147,123,250,741,026,659,410,003,730,053,350,681,621,
808,728,645,703,119,463,535,041,600,908,813,820,789,235,643,331,567,458,309,
980,893,804,260,880,141,790,110,360,830,982,453,296,145,415,300,043,539,905,
351,025,963,987,641,598,238,088,774,159,861,554,800,224,211,670,019,184,407,
326,342,907,324,599,608,272,119,802,883,720,438,328,773,023,112,438,210,260,
732,509,664,123,328,679,067,205,281,168,669,555,611,016,957,842,402,794,956,
303,327,938,460,918,317,140,877,953,132,760,257,784,065,225,163,852,714,665,
507,184,662,400,914,908,704,305,404,518,574,348,022,473,402,515,037,540,066,
812,208,133,609,593,922,155,530,439,589,027,648,353,046,105,541,552,156,354,
299,659,733,172,150,496,809,394,503,402,055,888,078,750,441,183,187,916,819,
118,746,414,146,743,881,041,092,460,371,951,419,637,033,137,748,395,853,822,
556,623,249,419,306,406,300,956,053,680,602,463,081,313,685,756,127,077,866,
122,947,622,786,294,361,308,030,422,732,476,528,553,733,487,034,425,407,044,
200,163,137,410,754,277,693,757,476,788,443,609,496,941,955,980,708,827,087,
203,071,876,421,582,946,152,871,005,105,736,062,027,216,376,089,733,147,486,
628,607,035,497,025,606,698,326,376,043,987,048,707,339,046,524,902,600,263,
584,499,272,953,649,960,662,613,797,574,647,757,511,190,839,079,393,889,940,
823,294,013,682,474,110,168,947,796,391,075,995,403,248,000,333,455,743,248,
324,623,151,537,584,244,151,591,013,362,431,556,441,998,797,873,097,223,000,
868,161,022,531,058,678,594,098,770,451,875,186,330,410,685,889,712,703,321,
941,771,463,500,274,116,654,874,939,744,815,680,537,153,391,193,376,571,485,
226,782,378,303,913,504,804,094,857,603,679,850,495,474,349,973,724,310,735,
026,247,740,468,622,628,851,820,376,878,549,246,570,847,926,601,355,422,409,
952,154,322,248,618,455,867,630,231,951,453,961,377,138,246,803,006,397,184,
728,616,220,404,121,414,471,579,316,933,797,463,992,575,456,505,600,642,142,
127,135,376,365,004,845,641,326,217,648,586,696,726,095,441,707,213,650,600,
197,880,875,744,630,583,144,090,044,467,145,628,442,189,536,002,839,827,224,
802,719,045,571,238,792,088,130,946,824,721,388,877,531,705,036,192,903,793,
544,251,310,665,023,503,322,316,197,589,302,765,080,952,528,308,659,777,805,
714,454,534,125,121,799,373,058,977,232,286,633,972,553,686,487,092,793,523,
561,234,944,830,433,327,729,941,701,152,702,466,522,505,986,407,841,525,016,
551,825,222,255,125,028,451,699,738,958,859,348,438,211,297,553,310,626,744,
307,141,324,812,041,238,693,380,787,287,813,400,574,302,513,515,540,960,872,
890,900,104,777,104,033,792,349,008,122,840,377,333,972,398,753,847,290,992,
963,113,569,744,134,474,223,583,193,847,124,865,464,659,732,727,537,888,301,
948,990,566,425,950,058,301,949,278,804,279,878,618,042,475,113,099,015,575,
011,873,593,848,874,138,287,638,181,559,156,119,271,784,635,833,206,295,380,
834,470,348,375,785,398,623,256,298,473,764,469,621,882,658,389,636,393,365,
703,437,936,433,123,739,028,918,826,743,421,682,736,601,433,074,765,426,643,
670,769,297,753,868,135,112,899,953,614,707,128,007,669,968,545,581,146,540,
181,500,457,908,801,264,619,909,939,566,651,602,492,728,492,986,633,020,207,
973,714,567,749,636,166,358,668,642,604,034,480,837,277,446,014,919,290,609,
765,890,487,781,780,244,497,989,935,381,287,334,362,769,987,622,147,355,837,
436,917,979,163,972,585,856,362,100,342,840,342,096,964,426,931,865,186,983,
441,811,913,069,263,583,389,050,011,730,151,848,054,730,251,995,730,993,443,
531,328,333,163,343,682,352,717,825,461,574,221,798,917,566,901,663,031,431,
437,022,750,466,412,563,964,354,116,455,514,162,774,456,104,594,267,263,317,
465,146,062,078,266,688,751,485,231,826,679,367,684,084,046,278,092,142,244,
860,971,457,111,306,285,252,769,282,980,288,927,587,644,555,940,801,877,021,
715,696,272,387,918,625,174,956,280,536,339,552,780,497,228,775,066,089,138,
042,466,174,006,031,997,567,184,262,435,412,057,130,495,087,383,776,143,901,
071,330,846,341,426,675,648,459,811,829,605,185,183,958,885,854,540,140,486,
994,965,396,185,873,270,053,073,227,330,803,527,018,695,359,107,073,057,244,
146,893,160,559,587,486,074,188,694,215,707,491,054,741,367,818,973,777,552,
001,547,881,748,938,853,423,760,291,246,420,623,010,325,862,402,481,071,070,
027,222,031,837,777,600,876,620,810,276,254,414,984,667,705,448,746,583,293,
822,043,730,025,186,508,624,828,807,446,494,530,432,569,476,473,537,334,178,
040,167,113,256,356,505,037,004,152,639,976,951,087,953,201,421,732,373,103,
570,090,265,392,449,639,746,410,285,287,045,278,040,314,770,725,100,431,216,
496,111,406,996,071,447,615,138,351,378,167,593,244,951,834,660,713,641,657,
910,610,869,498,300,917,379,637,691,474,727,550,118,764,506,095,579,354,111,
590,984,718,062,133,959,069,231,638,481,456,120,496,049,481,272,771,956,580,
396,978,260,204,239,374,045,201,506,276,572,020,149,146,304,639,734,235,631,
358,756,678,746,046,141,681,905,326,904,835,449,751,811,244,485,116,839,507,
967,126,138,842,027,971,676,743,670,802,521,685,102,981,519,181,336,778,493,
449,234,421,523,272,365,345,755,917,237,392,346,811,406,887,250,015,313,819,
280,048,379,088,411,298,380,674,247,593,565,383,298,533,026,761,721,779,351,
900,242,413,149,837,533,091,519,968,973,000,615,523,283,803,106,648,590,319,
987,159,232,745,657,397,338,164,217,897,075,081,460,261,967,921,759,817,908,
817,104,205,423,017,631,755,669,253,497,507,623,286,197,874,654,158,354,231,
001,165,929,306,045,940,316,257,105,547,092,502,679,311,603,333,562,714,316,
099,769,214,671,885,091,110,482,946,533,437,462,239,723,112,465,384,039,311,
916,801,769,639,521,550,904,492,221,038,506,431,757,187,429,722,452,653,313,
933,154,441,247,262,754,563,568,991,030,300,679,664,660,633,889,340,500,256,
243,011,163,554,116,871,617,570,809,449,942,750,113,623,619,407,625,383,837,
580,862,825,319,251,935,830,866,333,617,023,980,810,076,039,212,853,792,043,
333,779,440,189,709,421,832,900,214,953,170,718,387,031,695,354,062,694,298,
478,001,971,312,110,121,782,976,221,221,575,220,032,150,146,044,088,560,964,
510,256,202,177,680,843,673,348,613,114,475,855,566,428,248,839,655,672,036,
299,504,169,396,070,374,726,812,504,611,567,414,246,953,203,112,998,381,495,
423,558,374,200,407,190,886,491,075,932,179,440,287,815,645,952,511,291,341,
947,666,133,552,867,682,489,316,593,065,101,393,550,266,233,946,298,953,236,
147,106,307,899,741,904,132,380,263,440,651,359,094,610,773,286,541,785,459,
205,755,961,458,698,169,666,311,462,844,283,964,620,829,648,950,959,080,290,
205,018,509,692,978,044,344,236,722,913,985,707,629,525,723,149,815,922,468,
518,117,504,534,716,680,929,967,677,079,128,045,577,993,317,391,171,598,271,
504,312,587,495,261,650,769,980,033,759,656,217,675,263,049,378,619,350,883,
637,660,772,265,413,635,304,911,303,790,820,777,493,085,205,111,260,549,601,
669,283,526,124,216,990,069,469,961,955,605,824,729,222,552,237,357,282,343,
835,709,035,525,921,672,538,132,771,203,294,785,421,177,449,753,604,992,516,
093,911,905,508,233,784,475,390,864,680,126,838,424,034,370,232,946,825,179,
013,475,569,236,133,096,769,354,116,025,037,202,679,298,221,271,532,664,291,
918,767,872,354,641,772,594,553,797,787,175,673,454,089,019,116,492,911,231,
239,858,689,049,455,618,002,915,300,294,457,424,330,571,026,562,670,989,079,
299,187,088,565,931,228,186,575,967,691,338,396,503,403,805,068,323,521,023,
418,209,410,875,550,410,475,934,742,711,998,457,398,603,357,851,826,347,444,
196,492,907,176,846,551,998,641,900,713,895,180,049,820,093,476,593,234,114,
894,218,112,367,603,951,872,061,781,693,712,080,182,684,390,308,874,114,831,
264,987,071,819,619,809,190,502,819,923,160,363,372,423,395,533,202,704,007,
959,005,137,601,240,241,368,701,805,705,649,100,397,228,144,987,901,307,129,
113,847,415,892,608,985,361,376,638,218,392,888,404,381,577,233,353,409,560,
666,907,985,529,571,256,708,801,018,633,815,628,380,213,819,344,470,695,872,
268,651,704,787,790,702,337,004,340,119,279,044,383,868,330,100,489,302,953,
900,018,421,107,270,524,820,075,991,341,740,768,021,689,329,140,312,483,308,
592,817,301,073,652,688,560,714,083,179,698,577,472,589,442,762,137,078,891,
221,704,480,677,100,353,702,359,897,302,583,225,499,849,987,203,538,056,768,
928,425,120,453,295,210,812,697,434,058,380,785,033,409,429,595,303,076,293,
909,762,384,521,717,219,666,511,063,597,990,138,890,179,151,275,555,517,933,
239,166,045,220,326,474,774,518,014,318,265,425,069,985,957,557,577,437,626,
580,550,116,410,431,930,636,082,811,343,460,145,136,501,239,921,511,977,314,
634,385,450,530,638,306,032,099,042,419,076,072,697,164,124,419,981,650,413,
040,580,778,196,035,176,026,641,179,301,303,943,753,087,248,505,011,309,648,
287,469,103,337,758,811,937,793,496,422,719,626,830,895,297,382,024,167,520,
311,784,814,427,730,022,167,073,711,268,782,577,529,428,225,318,884,527,106,
910,148,812,600,533,654,942,004,258,264,337,331,625,840,505,588,270,427,471,
403,346,321,514,869,729,959,692,406,113,520,682,622,578,309,344,712,462,315,
202,213,653,914,979,414,762,389,388,164,098,304,132,893,071,502,690,102,927,
180,891,583,184,675,265,814,881,966,880,789,877,004,068,081,707,617,647,462,
593,894,303,861,025,475,548,726,391,794,171,205,891,694,827,946,189,400,028,
441,439,742,226,195,322,581,609,088,402,076,796,603,035,168,321,010,308,684,
665,622,296,940,339,468,693,340,953,994,069,240,319,244,940,960,457,521,946,
236,537,679,952,223,818,327,385,871,998,801,991,768,260,160,428,651,968,988,
067,933,541,978,726,948,911,468,927,296,157,500,392,199,025,063,726,849,195,
819,313,442,737,521,860,018,680,669,097,612,687,704,709,593,629,990,059,248,
472,524,616,354,538,881,288,951,737,056,889,122,429,103,672,048,714,770,177,
973,088,823,144,032,384,258,963,522,581,826,644,492,093,654,825,022,699,399,
370,516,251,862,733,054,845,196,764,751,216,092,465,749,450,658,692,819,906,
389,454,991,276,219,525,483,160,139,979,652,648,564,851,670,202,113,699,849,
531,144,376,853,413,546,873,294,387,897,340,980,036,312,531,400,743,853,273,
252,883,470,440,422,643,808,325,681,061,744,397,690,775,206,413,797,274,232,
520,110,046,698,249,754,402,098,995,743,659,649,136,559,871,637,736,201,675,
098,779,390,231,935,946,956,559,540,647,874,372,317,810,877,553,376,306,602,
242,642,026,441,354,867,149,245,828,000,177,946,334,050,842,697,193,815,875,
320,727,879,511,519,153,448,080,614,906,007,923,011,995,889,187,115,859,881,
166,660,226,742,174,279,906,906,312,252,229,459,971,911,341,965,758,057,318,
311,744,199,866,248,329,488,664,989,641,223,798,285,263,098,433,193,371,176,
431,740,324,208,571,753,491,683,620,513,603,460,236,790,221,950,952,574,610,
030,111,124,082,995,386,942,649,815,950,709,206,690,056,005,655,737,188,501,
738,439,912,587,033,054,664,032,635,225,059,780,215,178,253,363,532,322,995,
787,166,759,934,974,090,240,689,949,322,739,549,225,415,045,101,681,072,392,
432,201,177,518,470,176,013,199,855,830,404,923,303,429,517,690,399,005,175,
583,240,344,418,783,014,121,991,654,576,206,163,086,510,542,643,832,233,141,
180,443,295,304,202,889,027,235,268,085,561,892,035,484,226,378,924,489,693,
647,925,227,260,973,921,238,575,945,855,292,808,975,670,031,472,605,908,743,
625,702,162,684,947,346,820,407,384,321,971,493,995,792,858,258,969,927,355,
456,895,349,940,041,465,040,243,348,908,366,454,093,061,619,129,786,935,447,
247,253,989,948,041,445,409,903,751,819,106,820,706,340,950,259,570,810,654,
926,462,146,670,956,215,275,985,495,301,260,569,706,125,759,061,962,547,642,
441,932,696,788,028,966,070,195,406,436,908,801,415,956,459,863,350,502,904,
992,286,971,084,927,111,063,001,503,758,285,060,036,684,736,786,258,738,158,
745,567,414,691,468,536,041,317,074,298,246,535,142,577,066,839,522,006,339,
556,901,175,992,355,770,657,307,656,638,522,647,416,206,552,874,569,260,140,
639,655,125,148,906,598,792,080,417,701,533,382,995,115,407,181,410,278,519,
211,560,233,604,855,108,151,857,365,731,470,662,365,442,667,554,492,838,128,
238,106,211,289,500,157,412,223,485,846,763,117,123,894,354,924,888,683,189,
275,178,742,718,908,084,825,210,677,001,047,965,414,026,159,240,008,996,992,
847,810,889,031,930,220,329,275,531,601,953,640,878,845,559,834,776,169,809,
414,363,392,651,876,715,635,987,412,935,831,678,702,640,289,189,664,118,576,
441,447,147,677,903,203,287,626,964,696,368,606,910,433,191,297,141,799,796,
765,746,389,093,118,704,897,830,762,171,861,964,120,586,984,923,519,081,367,
794,541,856,024,267,330,447,118,161,197,497,497,878,684,017,178,998,204,579,
415,561,525,088,971,903,245,414,130,911,579,363,830,295,370,746,770,099,997,
776,202,229,523,100,261,206,179,453,029,467,331,596,178,481,224,189,212,061,
683,473,173,354,440,677,141,558,731,562,127,678,797,739,981,986,531,453,011,
177,837,907,928,705,757,560,549,253,209,418,265,124,669,457,981,533,329,468,
425,703,708,850,796,126,276,578,319,314,062,028,537,730,756,247,370,849,119,
584,358,424,558,914,263,087,347,776,171,864,474,125,539,597,458,553,481,913,
838,893,273,317,231,151,072,287,968,032,541,456,523,936,432,734,764,726,032,
469,924,924,873,247,780,421,101,863,942,301,204,959,182,874,476,801,442,739,
106,669,176,250,653,646,818,919,834,508,887,183,127,974,058,879,581,543,236,
956,079,561,315,261,668,546,780,397,665,774,253,577,608,724,244,783,725,389,
669,260,274,305,540,293,765,812,224,024,514,949,758,807,733,909,064,053,938,
422,193,763,875,249,178,729,157,542,465,188,449,477,192,748,224,127,334,249,
272,456,831,801,690,273,642,947,941,208,246,332,505,644,342,027,093,867,537,
195,356,710,609,471,208,643,174,772,616,013,151,098,768,712,017,554,640,635,
709,325,339,216,736,533,379,115,953,294,228,177,331,405,437,153,988,903,425,
826,068,333,473,810,302,537,496,004,244,024,997,501,417,418,572,520,846,594,
452,447,460,644,998,465,868,928,128,078,723,970,475,774,640,556,372,036,157,
362,813,426,651,459,167,074,166,994,168,466,861,867,644,549,634,657,961,396,
545,842,952,285,680,393,799,547,148,563,715,077,755,713,678,940,814,218,198,
044,877,648,874,760,136,453,388,074,855,488,128,385,077,969,807,998,752,495,
233,943,563,353,174,046,812,088,765,367,192,667,313,897,364,117,777,684,267,
945,290,174,773,317,715,382,436,661,443,238,224,907,283,504,829,710,816,531,
897,543,383,861,851,684,104,085,810,572,365,059,786,480,530,493,151,899,524,
180,585,864,079,538,705,276,326,185,512,280,588,287,137,540,925,765,095,628,
340,938,093,247,748,082,692,587,973,678,117,253,238,885,064,680,162,042,464,
673,702,895,628,073,257,008,871,980,202,231,684,933,475,947,554,101,903,862,
057,226,793,567,118,855,688,743,517,604,624,986,316,364,621,778,950,763,223,
110,970,448,203,812,946,437,315,504,467,798,523,322,527,303,577,912,957,364,
074,136,948,187,117,391,540,986,830,539,536,724,266,392,754,466,539,921,161,
375,682,792,529,800,088,469,819,171,426,719,551,801,491,634,612,835,811,387,
200,913,073,386,238,440,768,737,165,571,228,064,103,320,680,731,744,992,427,
622,537,774,255,900,316,982,849,002,550,621,347,463,415,456,330,260,352,833,
465,458,006,468,875,994,503,920,488,595,963,886,147,891,817,099,666,325,331,
400,791,912,202,461,189,248,283,404,893,949,666,227,216,913,624,703,697,385,
958,992,539,918,839,765,099,082,841,144,747,247,191,466,671,643,661,010,101,
453,411,725,848,965,445,682,032,405,305,579,248,472,821,108,921,364,433,427,
484,512,963,282,533,799,095,555,819,308,902,634,760,789,674,631,134,282,301,
037,646,560,857,758,312,211,747,429,301,642,551,122,603,212,266,682,008,759,
200,991,168,539,171,584,191,402,625,258,875,218,209,831,102,850,202,931,196,
012,516,199,061,763,831,492,458,190,665,180,591,505,829,291,925,106,139,285,
505,648,764,311,951,440,901,670,917,336,687,113,562,016,733,416,844,021,301,
645,929,693,418,190,257,854,718,737,289,936,036,152,339,919,960,871,121,784,
126,760,358,030,900,642,390,281,112,370,431,186,900,257,958,723,182,224,194,
657,108,230,753,454,502,853,355,746,795,467,257,009,407,006,540,524,441,720,
988,970,394,090,297,798,722,184,837,874,203,952,108,033,878,134,607,669,357,
041,979,197,465,555,851,652,157,558,981,847,268,078,279,456,592,153,453,230,
383,270,812,660,799,406,752,498,783,418,546,770,209,714,615,431,341,322,282,
821,221,563,771,210,818,579,571,486,394,726,798,708,856,953,329,052,956,849,
563,170,950,725,419,472,402,627,634,749,478,209,399,952,137,010,671,652,164,
635,346,082,255,232,287,971,132,756,700,649,917,642,163,875,494,429,186,422,
299,554,246,515,153,399,277,172,293,122,888,744,327,643,678,147,671,366,420,
551,078,645,550,832,351,461,356,832,365,212,969,041,009,412,024,747,976,151,
132,995,279,953,729,547,566,103,310,393,649,634,569,486,372,920,240,532,483,
487,952,979,275,672,255,964,765,416,608,998,651,247,184,341,325,560,610,510,
268,867,696,758,303,980,032,253,335,882,010,390,777,538,761,140,590,409,896,
748,758,260,463,293,974,829,704,589,294,561,014,286,697,632,039,039,578,747,
637,880,868,084,201,367,600,072,702,404,033,665,957,223,847,335,150,464,491,
937,730,360,355,817,522,221,601,742,792,748,523,389,904,623,387,392,564,840,
265,269,040,599,220,130,849,194,378,237,811,495,500,477,959,654,658,780,932,
325,706,245,761,983,423,473,321,323,505,853,748,912,103,879,225,779,730,985,
927,808,860,730,043,851,494,148,790,019,546,106,709,182,173,293,031,811,222,
731,204,645,118,705,821,647,473,867,047,850,538,153,634,956,920,167,912,940,
301,213,106,083,062,039,580,991,488,350,007,049,136,155,724,677,335,011,383,
520,030,560,489,185,262,580,366,709,229,827,768,310,297,723,103,301,175,765,
661,904,587,264,451,731,639,550,320,928,317,963,563,045,449,398,989,665,655,
855,260,566,211,190,495,808,631,542,579,736,936,665,865,351,785,927,376,135,
454,083,682,919,779,375,450,014,542,326,158,968,753,670,331,518,420,912,786,
226,209,136,953,420,722,832,973,929,104,812,595,191,518,755,807,348,603,741,
090,740,892,470,273,468,858,363,548,842,437,829,716,299,810,953,291,544,949,
698,729,175,942,596,747,840,833,136,355,203,415,265,924,620,258,150,363,470,
092,766,982,894,866,783,825,399,067,683,426,914,322,347,256,206,195,963,332,
493,384,629,560,322,199,436,859,278,006,908,731,017,879,611,162,852,430,533,
229,699,901,257,148,945,392,675,521,507,552,732,281,105,810,887,148,518,053,
918,347,872,681,064,237,708,615,265,392,464,907,406,426,425,438,224,351,357,
438,204,541,334,594,339,290,778,528,151,077,352,881,738,423,908,520,304,197,
065,466,188,593,408,561,241,449,243,436,835,815,314,236,215,039,089,150,383,
086,210,037,589,449,600,011,309,683,762,917,213,436,053,165,024,683,658,944,
712,252,521,793,296,914,239,838,407,936,291,217,792,154,079,217,926,021,550,
046,877,921,708,822,913,029,324,309,385,928,684,783,461,623,029,111,682,526,
436,051,582,041,573,699,940,234,793,218,728,939,811,143,529,840,520,672,770,
724,917,224,044,296,218,138,823,739,117,560,479,729,055,606,500,755,034,274,
990,748,897,679,505,560,105,938,835,332,707,007,131,316,042,847,628,024,301,
318,607,862,122,649,270,790,259,520,302,597,362,208,513,685,697,999,799,782,
229,975,640,961,579,550,611,989,781,071,468,509,842,715,554,309,021,425,461,
019,257,121,871,615,930,387,142,273,458,425,367,020,902,039,235,808,626,571,
215,340,509,716,423,022,988,514,833,853,367,308,756,114,771,335,611,799,550,
239,549,900,360,864,776,521,997,504,503,420,464,096,794,504,828,762,430,627,
748,931,016,988,189,863,781,424,140,137,330,498,958,745,551,561,452,500,740,
758,208,912,411,158,487,704,012,638,741,105,971,297,714,932,412,904,080,487,
782,385,233,534,300,281,937,880,969,304,905,695,465,992,824,306,697,183,145,
727,974,002,724,469,159,866,124,663,700,580,277,908,781,708,399,113,214,941,
217,865,092,766,759,579,756,173,408,424,895,101,637,366,338,625,888,314,153,
300,673,777,690,633,535,293,958,110,239,128,740,099,945,279,566,969,191,506,
481,135,367,395,702,485,225,709,784,165,430,450,403,706,542,210,466,980,251,
070,894,355,809,546,280,143,232,487,813,009,630,550,528,827,729,307,925,978,
449,787,930,530,074,314,532,804,175,236,156,514,519,550,166,280,090,916,043,
864,345,539,027,500,221,666,118,011,791,335,085,290,845,795,392,838,136,047,
390,907,205,682,804,920,438,908,224,091,393,658,206,779,237,218,402,708,845,
356,760,041,926,716,253,179,023,463,635,642,740,747,646,485,672,735,051,330,
694,993,561,064,359,560,006,526,216,421,364,266,021,236,080,165,700,270,831,
456,527,697,316,786,525,856,480,580,070,952,099,818,228,344,110,601,161,059,
067,023,169,645,583,148,934,150,218,710,522,217,387,003,768,822,358,315,927,
705,512,238,304,570,265,656,199,299,028,355,074,206,794,324,861,041,928,257,
098,204,630,126,595,986,099,289,547,293,021,386,049,988,756,096,040,466,370,
167,621,995,627,599,108,056,798,434,367,936,991,048,596,693,065,199,681,038,
406,223,221,844,913,005,102,036,492,934,450,398,085,632,848,080,078,280,788,
273,420,562,938,515,471,072,844,204,863,811,745,419,684,367,869,437,118,066,
189,481,931,030,290,347,731,998,167,709,979,033,019,492,345,633,624,342,852,
216,546,180,104,184,278,565,909,103,007,814,927,897,686,919,099,158,804,676,
824,696,811,245,728,316,772,118,256,281,429,075,671,846,089,789,029,159,148,
049,840,216,426,072,266,378,790,327,516,409,902,551,901,150,056,878,155,826,
318,908,918,115,669,469,300,896,444,591,529,273,055,726,828,729,151,665,453,
755,130,523,914,845,806,387,318,388,924,839,779,138,660,596,039,906,247,555,
721,981,901,436,355,180,033,053,091,295,725,894,777,740,021,725,246,212,475,
118,441,089,725,545,256,646,042,423,356,839,955,272,159,065,292,348,035,493,
029,817,490,576,323,753,471,273,415,495,455,817,463,400,659,761,695,061,388,
624,374,700,872,863,311,622,922,409,484,026,926,253,968,619,819,824,034,130,
543,042,241,834,380,551,946,172,399,166,727,216,490,874,028,853,233,495,583,
183,199,485,760,637,676,641,803,898,240,513,455,921,754,879,740,186,352,711,
114,667,799,305,884,970,917,489,781,584,216,982,429,098,117,353,318,090,290,
348,908,492,602,840,070,400,666,163,561,645,013,078,379,092,083,901,600,212,
024,873,862,556,195,159,458,474,411,901,346,747,904,087,147,158,913,733,415,
201,103,787,962,212,096,648,165,814,599,710,847,577,199,276,695,845,763,230,
588,110,362,604,029,301,577,964,895,079,794,148,040,762,005,956,115,229,923,
482,155,369,526,708,070,620,557,051,164,357,573,750,658,877,395,043,641,407,
403,716,456,692,307,773,533,391,055,568,001,092,127,139,877,642,852,014,316,
472,540,609,676,023,576,619,960,756,800,160,956,968,980,170,446,589,684,669,
128,770,278,183,864,289,263,389,209,766,010,781,236,617,194,265,925,874,534,
455,352,957,240,044,181,157,308,115,010,743,084,804,297,011,985,904,671,875,
743,780,155,545,194,375,684,198,325,021,785,444,713,485,802,628,469,489,331,
718,303,005,567,900,582,493,647,634,995,871,474,652,114,763,832,702,671,252,
897,539,036,126,106,545,958,396,082,666,518,687,647,827,220,377,329,799,637,
645,189,170,986,751,400,031,354,020,827,909,273,118,451,915,666,492,951,913,
692,871,907,547,251,484,501,766,478,658,627,146,227,693,597,514,126,416,295,
520,046,651,141,442,815,083,697,256,002,858,436,529,070,229,157,782,158,152,
840,091,963,732,026,243,766,616,526,238,844,563,947,179,165,450,515,006,363,
106,594,580,250,423,806,463,449,337,831,112,835,951,459,714,721,571,932,434,
737,900,044,234,324,831,048,332,833,578,857,546,604,577,165,869,891,573,975,
758,196,907,289,063,053,036,039,971,998,553,183,073,860,681,294,739,865,113,
167,724,503,046,745,820,356,632,046,455,915,364,134,476,696,248,292,413,526,
012,157,679,474,810,857,855,831,783,183,174,755,670,154,682,091,222,994,022,
220,177,492,372,444,461,202,717,207,532,343,562,899,599,549,365,745,719,843,
776,350,243,972,974,428,645,068,521,454,336,843,366,509,478,846,098,385,651,
397,132,627,543,685,271,970,440,910,143,713,065,978,032,380,329,733,548,245,
131,411,547,549,562,220,153,106,499,329,621,276,442,840,475,799,500,869,410,
175,251,546,491,164,377,251,123,904,780,922,441,975,892,990,433,948,686,409,
224,689,764,870,733,616,728,782,074,520,861,019,854,037,283,017,272,194,038,
488,541,792,966,249,414,779,118,909,482,841,041,147,358,475,731,452,069,906,
095,358,536,788,837,844,466,638,779,939,668,038,084,891,833,169,023,873,536,
871,044,130,047,606,846,743,232,254,507,277,339,852,546,588,983,095,267,775,
575,752,734,877,126,788,583,036,043,820,558,861,254,911,906,126,393,935,365,
530,734,669,680,888,415,821,660,498,277,289,029,482,468,505,687,926,174,675,
231,245,437,083,080,703,131,123,968,395,845,594,928,717,262,407,072,480,472,
698,029,180,743,782,423,595,747,779,450,009,782,113,797,966,788,880,500,292,
916,852,127,292,124,217,124,151,733,037,151,397,768,172,301,013,377,938,103,
579,757,622,542,791,349,876,630,239,502,598,419,962,398,590,503,395,803,745,
903,079,700,082,376,959,518,017,179,240,111,069,504,888,248,346,322,740,706,
848,479,539,351,410,562,046,315,024,279,067,942,420,177,630,240,985,812,185,
895,510,327,133,081,766,239,077,654,295,894,571,221,791,198,886,731,986,253,
547,063,817,253,605,887,696,206,681,277,150,609,234,583,656,223,047,721,727,
376,892,477,601,174,119,047,562,040,296,386,537,823,745,268,307,555,349,435,
781,844,570,563,130,993,676,554,715,544,237,084,944,939,731,114,828,497,680,
635,381,872,587,789,197,502,243,808,411,413,987,729,637,973,632,335,072,893,
427,531,924,609,199,568,389,230,890,541,180,103,138,591,532,439,379,505,029,
742,725,137,301,930,374,631,987,682,662,274,011,831,501,724,410,333,209,037,
895,198,173,053,266,530,095,674,574,255,336,648,754,260,701,695,493,705,744,
570,219,607,940,030,976,597,202,693,222,503,306,424,308,296,002,886,818,976,
791,659,356,632,086,856,022,108,297,465,175,526,381,386,254,802,051,128,242,
113,035,193,113,343,000,373,496,249,296,780,654,104,406,668,186,965,891,844,
975,384,112,431,290,104,824,413,143,598,590,426,175,807,090,742,724,407,254,
853,237,984,630,464,005,439,791,395,634,755,442,030,501,127,947,403,052,688,
877,183,195,418,636,235,746,145,174,750,469,942,027,200,259,916,130,586,090,
175,644,856,346,237,445,278,972,199,994,606,385,565,363,054,309,318,673,303,
119,817,114,523,976,575,370,372,787,182,501,263,750,143,505,506,270,801,823,
327,157,346,197,582,267,676,755,668,448,349,239,106,724,986,502,440,775,506,
334,400,510,661,987,157,134,007,653,621,867,285,105,710,514,997,131,279,780,
289,087,699,793,339,060,906,429,435,493,967,592,934,460,091,510,446,238,384,
117,313,499,529,724,075,690,066,845,946,291,707,181,783,068,474,029,553,829,
730,416,657,900,770,409,436,353,693,463,479,750,519,027,679,980,231,065,182,
197,081,115,355,759,857,324,877,472,509,452,020,877,914,051,943,552,973,518,
227,991,843,765,304,719,497,923,974,646,992,813,076,387,926,388,784,166,224,
247,947,851,758,488,695,037,365,862,856,698,343,210,327,336,339,754,852,606,
614,879,746,566,645,798,189,283,107,745,573,248,210,366,586,812,649,230,088,
483,788,284,127,703,301,502,156,948,568,341,251,687,778,408,952,588,637,684,
341,333,797,404,796,869,486,612,144,605,343,622,870,676,557,438,914,962,711,
593,841,239,100,712,784,654,278,670,823,380,005,593,926,133,040,299,156,115,
403,642,190,147,323,162,075,862,978,320,668,642,076,934,196,081,355,239,376,
776,306,550,731,579,224,989,825,477,047,435,708,289,954,338,946,599,689,978,
780,059,550,673,051,358,343,986,876,178,788,135,473,423,299,862,779,271,010,
205,111,354,747,268,402,450,481,615,105,935,095,360,817,073,730,265,807,149,
925,575,774,747,270,734,666,958,763,618,179,941,206,468,464,667,342,001,886,
577,270,671,896,761,578,636,019,417,832,851,314,118,479,560,793,196,759,170,
126,410,045,896,532,178,645,961,185,490,052,610,587,225,875,530,832,477,572,
072,595,865,409,424,109,830,126,246,515,863,647,650,206,799,682,065,497,884,
958,368,734,218,089,463,462,821,458,335,183,463,239,664,141,625,222,890,338,
015,208,545,705,880,827,879,972,330,800,134,889,349,757,950,042,745,884,060,
267,816,223,356,962,094,173,207,865,761,642,590,302,466,354,776,794,902,380,
876,689,152,696,211,952,089,210,636,126,443,933,728,766,464,382,644,272,842,
119,832,470,416,020,163,205,470,193,506,652,346,013,539,199,004,217,486,819,
914,093,037,380,696,780,621,477,337,183,045,276,730,274,503,825,646,694,514,
088,862,680,923,969,530,568,494,875,307,556,752,396,799,923,594,597,235,020,
119,127,313,973,515,998,410,332,891,370,156,826,813,151,103,788,003,687,218,
711,154,419,313,100,734,867,760,782,645,886,083,794,934,567,731,688,639,070,
213,135,948,703,484,973,471,414,017,530,206,107,558,130,394,928,482,926,795,
331,952,861,085,494,068,520,352,768,372,015,977,125,868,571,843,623,632,610,
797,172,991,056,630,021,445,921,598,333,248,283,867,881,173,245,700,978,182,
126,010,285,323,262,038,376,779,506,685,490,421,433,137,290,995,690,213,491,
625,189,277,544,890,664,107,333,752,974,916,793,214,597,783,361,384,733,243,
355,829,335,226,304,478,885,326,174,426,347,855,170,160,569,021,999,020,632,
041,341,999,858,902,876,321,833,826,696,793,460,133,479,023,794,490,849,152,
154,603,000,003,286,144,701,083,499,035,836,096,464,633,032,391,070,870,222,
850,465,549,399,387,826,969,323,037,407,477,388,695,976,541,583,009,287,124,
644,928,909,798,499,911,722,721,790,188,048,008,989,203,097,417,847,603,224,
101,337,921,343,320,531,582,957,825,264,222,646,511,566,484,168,401,168,584,
502,949,468,926,689,135,878,238,958,427,363,151,801,581,112,567,989,335,546,
221,154,090,838,061,954,206,358,942,554,194,389,903,440,738,443,170,411,112,
738,259,516,735,270,326,084,821,004,100,221,489,023,037,158,399,523,280,240,
512,547,417,460,593,470,019,261,866,003,842,355,238,858,486,478,829,989,110,
290,161,004,392,570,202,373,586,241,256,589,705,217,924,487,388,801,367,017,
686,156,769,953,909,278,224,085,048,548,371,441,451,486,749,161,969,489,510,
358,776,811,086,722,224,921,150,581,049,249,987,178,743,682,603,588,990,308,
340,432,174,651,670,336,350,251,586,468,551,212,656,219,341,506,801,150,015,
960,050,214,444,934,845,668,148,827,068,237,547,874,815,015,282,598,113,957,
946,276,447,618,242,252,745,063,996,703,973,730,577,010,881,915,641,158,472,
094,672,271,118,614,686,267,514,954,775,246,911,600,890,329,134,428,841,635,
914,013,241,665,691,088,815,315,906,497,465,249,139,479,947,893,176,089,185,
052,870,533,596,307,326,332,723,333,119,395,155,568,819,349,490,503,795,729,
669,566,348,518,668,435,408,118,516,516,476,473,289,378,254,986,203,063,910,
518,818,077,836,555,954,112,656,275,081,381,468,724,454,145,124,689,820,162,
612,031,103,263,457,963,382,270,461,590,420,131,109,706,844,889,421,701,040,
338,792,476,700,574,010,204,056,619,399,388,367,353,116,663,205,724,852,330,
086,479,766,068,211,637,690,861,733,676,750,018,222,385,497,885,361,102,148,
540,624,936,429,464,641,398,225,730,195,742,410,189,393,325,413,599,669,424,
084,033,363,470,922,159,351,776,057,538,024,653,123,152,941,650,542,560,453,
423,747,171,781,231,647,629,833,763,933,452,617,849,628,307,094,606,734,211,
553,961,906,744,273,517,110,420,689,688,672,747,405,710,371,030,248,280,161,
532,031,949,428,643,795,436,078,162,247,621,577,305,172,421,167,923,949,492,
564,742,654,770,771,495,700,306,082,109,453,399,192,650,113,824,052,636,147,
704,567,414,735,097,234,973,282,739,753,944,689,609,179,264,761,258,983,635,
175,001,669,406,729,697,453,598,562,486,266,386,922,442,537,306,996,449,974,
444,581,491,784,301,259,263,721,043,665,718,952,217,563,084,965,892,728,983,
412,657,578,082,761,173,007,635,279,837,517,194,788,227,246,585,800,556,432,
811,751,161,974,258,133,621,306,118,525,956,510,109,051,087,702,815,343,313,
893,410,004,194,435,553,502,938,762,890,200,829,428,862,773,310,575,477,019,
713,028,222,238,628,198,041,856,087,758,279,489,474,437,070,748,988,107,423,
396,492,748,937,837,592,944,885,534,251,758,905,741,015,641,519,927,920,345,
790,597,004,671,986,686,133,466,608,269,413,896,149,066,888,715,849,211,093,
115,479,654,193,556,679,585,243,570,349,688,406,528,690,309,959,945,194,051,
356,211,560,687,586,634,346,087,884,162,712,057,243,117,757,527,825,296,521,
462,940,559,720,768,500,654,053,352,280,443,393,408,279,772,544,842,159,312,
306,455,370,018,436,605,307,789,749,830,130,750,138,429,955,238,922,652,901,
035,396,431,843,033,936,925,060,512,336,093,323,352,372,946,034,222,547,517,
195,516,632,154,902,228,530,390,734,530,307,141,583,648,711,868,413,042,150,
745,382,997,509,070,212,846,811,206,841,911,187,736,030,301,547,663,108,101,
671,988,729,579,652,244,183,001,322,559,066,706,274,130,732,622,147,017,416,
409,458,068,512,631,408,299,591,533,790,666,232,723,675,824,616,336,434,532,
983,146,985,453,213,176,491,675,554,275,387,401,310,613,661,419,946,099,253,
404,126,817,682,474,402,841,619,541,423,536,426,409,399,301,321,278,367,390,
952,578,567,766,824,704,958,312,591,125,997,778,739,904,278,513,228,236,949,
054,218,040,314,438,813,901,964,917,455,421,832,907,225,773,109,803,624,735,
859,868,746,777,497,537,050,916,148,378,230,733,740,810,262,775,638,506,527,
408,482,876,887,374,561,620,485,147,779,120,794,725,636,041,253,238,876,171,
468,185,620,698,741,662,265,357,788,025,466,499,379,871,509,590,148,022,164,
760,768,754,054,356,534,527,235,655,213,630,907,826,512,989,871,383,308,434,
433,650,747,646,827,159,485,302,899,681,731,839,268,295,382,776,285,245,946,
281,914,604,102,638,649,145,733,263,412,096,190,749,457,849,428,343,848,169,
317,054,525,802,257,008,554,638,680,439,582,221,253,116,055,730,496,265,528,
715,976,793,526,462,974,936,045,243,801,370,210,012,287,609,920,153,102,201,
155,203,892,972,503,341,161,577,722,835,254,198,120,035,146,345,449,643,243,
788,710,927,405,453,653,516,511,050,280,386,657,000,762,833,243,659,474,801,
092,672,774,444,256,628,179,825,916,648,517,812,218,427,576,350,877,758,275,
714,687,507,687,941,396,612,490,133,112,843,877,534,523,187,415,152,055,293,
682,142,357,584,695,114,410,735,425,521,950,043,351,744,534,785,050,248,901,
581,761,764,646,002,340,147,353,688,366,238,579,334,354,303,231,328,565,321,
544,139,516,369,261,522,590,110,277,614,021,668,118,465,209,470,883,088,219,
317,906,755,120,692,157,830,727,082,022,105,612,488,086,576,347,811,102,721,
382,041,690,978,642,298,885,479,929,408,236,703,958,391,934,605,287,001,996,
379,250,518,083,925,565,270,388,851,006,282,801,664,739,910,664,617,566,074,
902,410,462,495,926,157,177,527,019,485,731,943,013,374,956,336,638,657,734,
898,164,884,976,905,727,212,825,005,967,865,383,872,823,629,270,518,803,736,
593,798,337,614,260,460,733,660,234,736,917,931,557,808,592,922,191,625,719,
768,825,558,068,271,300,260,485,885,717,590,048,042,572,302,188,567,340,971,
399,789,304,939,559,429,519,229,750,983,114,980,370,227,677,309,126,549,798,
981,563,323,744,126,873,113,744,110,416,598,908,965,374,150,878,159,824,846,
651,131,864,701,328,171,892,956,829,530,931,773,226,485,175,675,927,191,739,
197,977,764,096,810,026,445,299,543,136,311,214,858,764,707,486,093,019,046,
864,176,254,010,990,968,721,443,652,444,953,021,154,974,354,749,585,324,133,
474,804,723,793,963,230,236,366,940,026,225,322,406,745,482,143,503,966,520,
265,340,318,990,937,493,683,098,579,632,448,372,141,468,878,653,959,123,787,
961,290,864,969,479,024,676,831,118,140,444,689,653,977,124,404,812,885,954,
062,155,745,810,788,920,385,221,050,085,074,597,191,815,276,379,002,161,649,
219,321,770,848,974,683,108,585,178,778,235,430,590,880,681,575,262,203,185,
489,574,040,785,431,929,017,775,414,204,935,046,808,386,725,139,981,218,773,
121,008,974,323,146,120,357,676,101,191,589,283,646,929,877,272,974,469,308,
283,459,199,255,301,917,533,727,204,769,022,281,798,021,237,066,707,761,588,
938,353,833,445,243,236,835,298,580,076,256,810,520,869,170,688,256,064,372,
026,399,142,178,665,048,326,526,447,398,307,831,004,091,763,586,208,901,925,
227,512,782,196,328,406,349,803,276,449,425,995,339,562,045,178,458,416,430,
247,532,105,507,847,151,808,960,515,245,109,363,097,963,738,579,380,119,263,
063,110,455,059,867,473,049,393,062,153,507,897,196,722,630,538,805,698,547,
259,669,694,658,498,291,549,631,136,648,085,394,213,874,537,662,342,771,615,
498,163,100,304,934,574,058,349,372,674,790,386,392,516,915,623,429,553,799,
259,720,991,810,536,440,135,699,835,355,554,803,319,970,221,654,177,600,664,
310,648,388,041,763,045,910,332,898,217,563,034,810,523,544,145,426,152,272,
799,210,052,643,229,955,923,190,489,172,992,205,877,752,141,483,768,568,237,
118,492,814,050,937,332,060,879,108,926,872,097,829,330,725,465,039,995,471,
858,485,347,354,240,851,611,583,656,384,136,946,371,516,093,150,119,601,837,
405,928,795,805,524,071,182,035,366,186,498,143,873,906,577,676,864,456,487,
761,065,873,531,892,289,435,021,105,675,215,159,612,187,005,951,270,353,873,
995,684,554,203,585,833,408,115,710,611,091,679,378,154,379,290,549,957,105,
087,177,013,051,170,882,426,122,311,904,883,702,452,790,250,793,926,019,733,
023,790,819,966,004,967,717,255,025,546,097,944,151,715,389,996,600,723,382,
547,835,572,037,131,673,689,599,877,293,336,833,439,940,884,455,063,251,558,
830,416,972,210,890,695,175,261,313,523,393,173,177,427,882,715,760,259,425,
265,425,726,142,330,746,119,078,529,708,816,241,375,596,421,997,935,350,420,
179,685,099,885,477,010,239,044,477,048,962,526,830,095,993,046,050,757,238,
860,331,205,457,494,942,317,357,715,112,220,664,752,473,902,204,691,925,784,
132,949,758,207,116,132,132,871,203,982,017,342,874,918,323,589,965,528,900,
916,661,643,834,090,757,097,469,405,901,441,744,300,512,344,845,361,282,605,
624,192,882,563,739,609,536,743,870,494,887,745,060,837,806,800,746,827,291,
010,633,454,861,154,850,874,369,709,287,524,523,615,893,749,811,284,076,026,
819,098,297,731,669,979,027,532,102,715,152,219,095,768,479,802,969,046,153,
788,461,282,151,939,967,055,017,310,287,301,545,923,215,447,796,299,516,513,
954,586,978,326,259,260,623,636,659,231,402,892,817,752,159,205,743,596,856,
919,104,995,008,859,243,002,964,893,142,240,245,382,304,095,113,257,351,111,
285,336,498,857,313,748,480,475,078,516,065,784,326,007,659,119,457,316,533,
809,156,101,425,994,878,518,182,018,187,983,773,601,273,724,606,473,083,519,
351,335,579,696,393,546,810,726,517,684,280,283,861,884,455,861,294,974,912,
451,233,205,465,271,054,404,445,755,517,195,978,396,601,166,522,092,918,846,
333,423,532,656,534,445,066,895,783,664,921,422,170,830,506,496,880,831,897,
849,537,020,642,270,876,227,689,372,018,408,815,709,971,316,485,871,031,190,
922,240,383,084,407,660,132,839,356,637,652,252,269,798,760,171,235,214,471,
842,037,508,695,885,114,944,209,923,954,886,479,885,669,155,923,267,923,236,
783,363,708,300,465,730,877,135,527,760,695,430,506,663,312,790,925,191,990,
712,759,263,486,284,881,859,144,475,461,158,956,524,131,619,253,336,024,599,
493,710,750,805,911,646,680,410,228,606,809,975,137,217,841,846,145,680,252,
931,764,503,579,421,272,216,367,192,284,328,850,948,732,418,785,042,953,948,
970,750,960,120,659,852,283,600,963,869,239,813,562,637,150,506,473,149,645,
524,937,698,633,434,489,456,456,305,864,738,458,410,045,255,663,640,674,869,
468,104,862,015,096,408,699,078,623,247,819,225,557,421,940,798,106,461,050,
436,687,406,294,851,408,554,228,677,364,471,423,659,606,399,831,664,310,217,
721,893,369,181,989,036,175,970,903,646,373,121,058,216,377,151,660,639,364,
432,980,828,494,111,674,003,943,897,229,319,723,018,296,361,966,932,602,591,
803,841,240,724,327,218,151,128,928,182,311,574,188,871,707,394,468,990,525,
526,234,781,576,726,535,876,760,039,079,814,856,272,571,507,690,116,277,611,
706,353,437,505,115,909,703,430,890,444,879,430,280,697,488,303,308,906,027,
940,547,960,654,374,644,562,843,386,994,590,700,400,133,563,982,954,897,873,
360,881,390,792,488,613,235,949,843,854,547,083,716,603,312,166,847,608,601,
674,775,647,325,479,948,989,551,462,830,641,239,611,725,918,239,116,044,054,
418,072,229,015,828,998,101,471,631,183,977,347,919,693,546,369,915,471,631,
740,026,588,163,269,427,769,281,825,968,743,085,416,102,918,533,321,132,321,
600,506,339,039,344,608,575,414,434,738,703,089,006,843,785,080,332,187,586,
139,215,199,465,953,037,131,420,388,647,374,711,502,068,074,076,868,403,184,
900,873,211,895,961,597,565,130,628,449,563,774,229,190,278,151,682,220,831,
259,016,967,034,867,259,774,426,344,542,565,530,885,017,107,660,920,215,811,
489,754,309,057,132,380,797,625,935,277,064,060,565,079,182,898,621,643,050,
760,005,182,675,572,089,709,817,108,713,437,329,600,521,486,177,019,441,365,
419,194,292,845,705,050,457,129,608,089,796,548,790,668,916,527,470,976,066,
343,852,131,585,552,779,441,037,743,620,590,241,158,901,447,574,834,359,957,
519,788,043,530,208,921,547,912,758,848,904,559,650,183,429,368,588,536,013,
794,656,848,924,602,781,886,207,425,794,165,761,404,819,037,790,752,382,641,
165,304,507,370,675,005,104,392,840,414,891,991,757,836,741,791,564,927,392,
463,656,416,038,605,404,049,977,115,074,299,688,353,870,673,998,807,091,717,
931,571,370,670,325,589,881,692,082,408,387,392,095,520,511,344,140,674,566,
109,450,510,170,561,728,664,475,853,785,935,527,797,664,763,596,597,255,954,
682,121,615,313,357,158,982,848,122,308,759,967,867,063,499,690,122,665,254,
569,491,750,724,395,154,956,505,916,930,891,437,747,042,799,219,535,108,214,
998,668,547,005,848,790,744,299,992,052,706,957,660,542,994,619,619,306,877,
599,018,560,903,116,451,725,774,942,476,260,113,360,974,593,549,653,501,388,
074,226,547,665,537,109,750,932,899,612,754,712,294,354,402,552,440,469,135,
089,278,927,015,046,028,800,374,111,166,224,403,392,736,663,054,937,112,527,
175,768,356,101,708,686,982,209,567,832,641,227,266,417,609,269,144,815,491,
027,502,601,226,476,464,536,206,810,662,558,804,480,463,013,580,033,848,686,
955,924,217,959,273,217,709,262,889,197,421,591,492,169,939,355,562,973,699,
257,313,021,853,240,884,957,374,749,987,772,788,347,721,188,344,422,802,825,
747,220,186,196,626,532,356,857,556,656,994,746,827,311,816,880,968,236,167,
732,720,445,364,353,530,383,878,318,911,137,480,005,786,523,234,121,747,513,
979,717,676,673,210,181,822,217,420,444,369,105,434,326,696,074,444,733,685,
202,823,191,415,177,570,466,821,638,699,835,817,170,111,793,798,318,807,380,
897,456,515,331,835,919,117,885,928,286,297,542,556,657,515,913,595,412,194,
020,757,044,108,476,048,428,941,371,270,647,160,763,307,550,409,777,937,129,
743,100,579,456,859,199,857,967,348,226,507,910,469,426,630,643,097,662,609,
579,896,003,611,287,714,227,607,287,199,149,414,533,670,890,105,016,409,845,
781,925,535,891,749,584,935,138,110,301,560,155,302,608,423,443,274,445,662,
164,481,409,927,230,059,979,069,801,560,738,984,336,153,268,525,240,876,377,
172,523,423,397,924,649,394,987,996,153,981,766,258,170,918,692,975,224,317,
717,378,565,152,557,527,664,377,818,418,087,929,850,416,131,879,099,189,470,
448,770,723,415,947,812,760,014,864,204,455,235,757,931,437,870,242,587,849,
573,240,941,322,113,686,534,035,036,243,248,366,151,985,659,067,574,741,234,
020,917,067,989,434,607,488,866,288,640,759,929,498,771,008,016,728,968,816,
626,754,371,192,697,776,084,368,735,848,339,120,464,482,654,646,408,277,044,
183,756,894,851,842,436,770,068,326,892,962,138,172,253,452,890,762,811,062,
374,325,767,623,411,308,709,916,191,398,434,703,148,127,367,037,044,971,307,
354,837,487,355,723,095,047,264,795,507,969,467,007,331,956,032,056,246,973,
448,162,244,263,323,176,948,445,346,136,946,784,285,588,992,638,308,544,240,
502,427,828,382,898,384,987,564,551,593,541,870,045,607,617,350,000,792,059,
021,812,718,852,995,257,807,162,876,350,793,458,071,235,431,980,523,758,385,
214,876,056,050,462,544,967,789,946,382,438,037,217,644,507,688,498,634,859,
364,721,941,440,505,948,621,613,714,468,254,093,284,385,828,097,697,413,396,
270,961,469,329,640,009,398,821,551,645,386,369,259,451,161,880,850,140,779,
993,201,430,538,680,148,319,333,005,932,143,849,283,149,549,942,081,723,575,
925,636,306,467,714,364,108,884,476,592,048,942,577,043,076,056,585,271,109,
569,546,882,473,205,639,546,800,287,967,655,479,569,916,125,187,438,718,318,
153,442,325,881,806,919,483,185,698,359,548,797,704,543,163,306,847,323,356,
054,799,704,245,823,011,241,668,123,458,600,082,562,973,175,266,676,592,985,
161,553,557,694,254,516,828,876,083,798,890,612,271,901,546,288,980,808,931,
730,949,958,414,714,000,006,931,370,448,069,942,185,671,207,618,856,988,070,
340,457,099,637,821,941,278,335,726,244,944,084,235,084,568,105,264,256,223,
821,472,253,354,736,401,273,666,576,518,146,066,102,904,946,739,935,436,997,
523,285,135,548,022,715,273,743,919,980,449,742,288,211,386,802,182,519,608,
716,096,394,843,131,662,920,075,041,356,932,069,797,561,482,409,725,092,696,
520,784,366,548,590,245,694,822,345,819,670,162,754,258,609,578,977,956,857,
196,245,577,605,825,294,430,526,002,294,838,298,266,751,540,228,763,128,892,
951,995,550,606,838,978,541,583,200,262,287,420,130,308,389,826,968,125,555,
723,784,915,324,319,979,859,518,170,642,370,784,665,690,892,186,358,980,501,
519,889,054,680,335,070,264,810,252,754,225,985,810,083,806,603,338,813,198,
565,471,617,028,786,548,278,105,884,065,267,520,064,183,624,490,202,932,848,
222,861,050,707,794,049,535,848,287,547,131,993,174,982,472,480,370,713,746,
876,166,894,070,888,955,240,184,566,129,437,491,862,608,809,429,890,660,038,
440,980,107,608,774,927,408,980,935,160,684,248,817,420,419,142,403,130,502,
871,611,629,134,923,004,847,268,562,802,701,145,675,894,582,619,651,704,054,
979,240,160,696,528,936,119,944,570,589,923,804,178,837,142,532,335,845,423,
596,278,541,346,848,932,189,535,873,660,785,254,451,402,942,244,411,927,447,
596,218,129,064,780,315,315,406,975,466,339,680,538,184,816,441,057,201,572,
856,305,765,017,486,607,618,317,278,079,010,390,922,347,572,810,819,905,419,
331,587,014,963,895,967,034,976,742,330,492,399,942,892,369,723,839,489,884,
269,235,492,379,913,531,468,965,145,986,053,228,294,738,168,224,050,641,917,
403,831,919,874,759,604,365,336,009,495,951,432,725,037,281,392,932,262,584,
619,880,924,814,362,279,718,392,854,867,303,274,640,823,427,435,932,814,302,
641,800,290,152,354,082,913,967,558,579,137,899,251,854,946,351,058,308,593,
637,946,268,490,533,184,152,015,586,244,667,321,548,153,735,522,871,541,598,
209,680,593,226,588,633,422,037,685,029,349,436,205,505,647,694,211,803,137,
861,942,420,240,131,461,376,789,482,655,459,619,208,677,153,966,137,475,205,
399,940,285,737,854,689,098,882,379,595,004,004,366,955,930,789,854,980,144,
905,409,316,866,610,183,950,285,069,024,956,830,041,884,627,587,808,313,571,
382,178,493,076,290,556,413,693,336,476,689,901,645,553,078,036,512,132,852,
856,064,382,035,841,888,833,071,847,145,766,198,011,261,806,707,710,384,920,
879,639,973,717,200,680,976,830,254,132,273,776,111,547,814,298,339,281,989,
072,803,820,888,140,575,762,796,579,454,997,990,755,146,253,835,589,265,287,
069,431,977,517,213,382,269,685,337,081,608,971,788,971,343,458,136,759,000,
847,705,632,777,683,069,984,484,200,381,469,373,901,036,178,393,005,618,809,
307,436,365,070,389,365,121,495,144,079,196,778,856,886,593,679,883,723,678,
179,869,874,549,583,325,399,189,707,444,799,393,608,666,164,143,742,704,002,
005,596,377,385,009,113,392,196,923,007,608,964,489,971,432,326,397,404,154,
745,945,283,909,763,185,235,189,379,382,685,704,761,228,947,790,573,147,318,
850,027,306,022,963,992,834,291,581,892,990,721,306,654,349,598,519,940,337,
521,403,050,024,087,896,127,704,961,687,808,033,267,846,027,052,567,057,063,
659,743,173,417,376,327,571,312,109,456,463,841,951,510,662,359,281,230,798,
718,405,843,420,575,415,454,084,464,732,900,814,768,320,950,813,985,555,066,
418,031,533,276,729,218,730,628,815,481,589,585,668,240,180,900,853,620,773,
583,506,377,996,740,480,632,911,339,564,045,098,856,726,059,766,265,660,704,
405,689,905,446,983,942,331,795,616,510,974,192,252,008,274,646,791,137,948,
722,252,277,923,037,133,235,157,686,054,887,504,421,151,470,630,195,533,193,
950,092,693,672,352,268,600,987,503,067,490,932,435,347,312,324,437,484,984,
337,657,388,743,692,769,793,063,327,585,997,638,674,188,751,796,262,811,259,
343,396,704,236,689,160,546,497,517,710,917,676,968,173,643,985,452,890,171,
435,729,195,874,361,224,337,963,407,019,086,255,655,616,870,752,163,305,418,
305,014,249,711,450,563,260,257,147,361,159,172,453,599,787,433,870,976,879,
048,848,819,138,851,867,027,069,341,207,613,426,071,681,445,780,717,003,136,
339,180,971,931,099,585,654,858,558,712,521,288,341,318,025,628,198,027,328,
037,120,967,679,350,542,306,088,987,082,013,864,877,241,619,126,863,001,823,
621,664,464,986,855,629,552,680,105,535,037,617,108,288,264,511,901,705,576,
675,464,955,821,449,151,582,963,179,930,498,734,142,988,528,022,002,139,434,
057,060,245,402,158,590,409,595,863,573,350,497,417,125,347,680,058,396,286,
279,517,777,502,081,664,695,919,167,453,271,950,111,580,285,800,502,153,008,
653,366,133,548,926,963,764,841,702,511,567,710,249,678,599,133,501,518,671,
237,497,069,470,906,421,204,158,779,192,523,853,078,738,388,045,327,168,553,
584,592,199,743,745,797,026,171,621,225,195,143,924,965,137,772,520,200,595,
335,851,457,946,448,759,938,252,914,452,758,286,733,985,575,769,817,489,994,
975,670,645,410,509,185,932,773,613,142,631,191,914,104,266,084,079,243,999,
781,459,826,201,538,134,736,328,604,897,799,888,192,828,056,195,689,862,516,
269,526,557,672,492,937,338,344,413,404,365,970,971,682,764,783,649,229,623,
599,923,326,882,263,591,499,313,796,038,496,692,052,879,662,384,096,746,942,
853,998,249,732,925,020,951,538,218,747,936,235,716,849,265,024,555,712,867,
795,485,003,161,402,748,539,292,229,656,251,574,104,256,032,414,330,990,894,
453,039,373,979,641,459,493,969,316,621,338,611,809,172,127,646,316,815,569,
864,771,738,189,247,240,161,993,467,979,076,845,900,107,616,303,261,561,771,
996,494,924,257,304,670,480,672,951,033,601,625,094,078,417,690,472,412,738,
050,514,312,832,250,413,680,067,236,759,554,319,287,414,723,177,358,466,900,
131,746,455,778,850,359,003,340,326,301,186,387,792,155,267,349,544,989,461,
623,059,481,904,931,135,092,081,071,690,108,100,901,679,547,794,706,526,630,
731,089,630,743,350,284,619,544,203,378,658,636,971,912,570,718,361,921,496,
175,293,204,873,568,431,014,317,152,217,921,898,787,537,896,386,197,133,236,
535,247,229,763,065,793,278,304,710,555,240,254,027,129,369,373,284,953,015,
965,464,722,298,004,927,332,362,542,842,483,885,343,999,458,969,740,191,485,
305,897,406,518,117,429,045,447,060,166,505,890,188,319,801,970,160,615,855,
795,896,396,935,586,446,820,562,570,267,721,040,737,314,561,800,382,153,522,
917,851,609,606,126,721,433,741,998,772,987,982,436,492,065,304,692,026,052,
850,198,457,590,336,165,286,509,704,785,085,462,045,815,109,223,832,944,396,
659,380,393,951,126,698,139,522,772,353,993,203,159,360,237,655,165,854,026,
709,671,622,253,563,399,712,753,753,927,508,276,951,572,242,436,193,098,289,
694,532,499,590,497,966,931,102,098,817,303,012,343,467,224,855,806,624,422,
137,355,300,194,553,171,653,440,518,193,245,494,890,314,968,008,454,168,085,
994,794,941,024,025,342,886,952,622,552,587,441,239,511,168,589,413,832,931,
283,477,371,738,783,244,264,166,317,373,928,819,460,589,823,735,570,879,459,
846,013,146,211,627,411,094,991,608,074,220,813,503,190,583,392,909,487,070,
958,145,255,195,295,984,128,636,620,918,406,490,580,019,886,775,575,849,460,
018,452,629,606,409,219,866,718,763,073,967,616,225,255,593,447,422,120,066,
471,868,551,141,136,139,180,595,038,366,561,488,162,449,854,313,891,101,584,
384,655,257,616,763,350,363,395,485,495,308,431,690,481,467,641,056,083,612,
882,641,675,631,715,470,887,089,729,328,403,921,127,922,268,622,532,147,882,
803,580,889,938,188,988,192,643,719,188,965,283,636,712,671,827,788,002,788,
161,910,258,812,020,256,099,000,170,311,260,080,846,817,499,385,267,693,868,
555,896,672,187,839,386,661,397,073,708,692,944,599,834,209,851,859,050,803,
015,434,496,396,025,852,406,118,710,992,583,244,783,674,038,744,543,367,631,
836,313,541,479,191,346,838,600,112,184,744,713,729,752,667,771,622,608,213,
464,200,012,553,206,217,324,341,965,670,018,014,984,329,528,695,082,956,060,
011,890,873,223,887,709,479,647,484,919,916,329,557,844,330,421,944,036,986,
040,984,448,970,701,697,830,463,943,355,744,420,859,821,421,208,039,547,868,
624,005,596,385,743,805,305,377,536,877,387,158,995,202,470,002,734,817,784,
269,178,697,753,913,834,155,543,334,100,907,846,530,277,632,780,464,116,733,
782,930,117,193,175,422,376,787,793,536,918,930,097,999,348,737,764,159,470,
263,708,442,340,427,927,658,338,086,094,852,678,580,456,879,606,787,406,256,
180,805,730,712,153,056,370,027,670,181,921,839,598,037,381,978,301,695,487,
209,063,314,462,512,484,459,614,087,220,826,256,785,120,527,626,431,496,284,
731,000,598,659,515,278,548,227,208,833,583,471,246,218,314,586,103,935,666,
385,646,624,426,101,914,442,087,413,752,979,319,488,953,206,486,009,780,121,
265,230,294,499,395,413,867,109,323,646,840,908,461,435,251,166,101,658,746,
500,697,018,702,332,883,907,008,572,408,266,864,524,421,473,338,558,943,088,
828,630,575,853,536,600,976,971,776,796,479,993,345,731,462,083,273,516,204,
267,650,354,556,502,445,191,590,712,020,239,247,656,235,346,457,424,829,437,
780,016,369,418,120,035,378,254,104,724,160,172,150,964,355,496,956,647,880,
117,727,312,873,700,938,882,917,926,264,895,581,294,933,427,375,551,304,770,
804,898,713,591,837,506,449,825,849,161,589,746,767,203,770,592,976,128,751,
137,166,028,664,931,732,501,599,556,567,287,902,769,231,029,610,332,458,671,
405,969,914,518,736,565,126,042,844,887,930,009,280,515,499,498,397,038,872,
562,220,917,370,938,158,383,994,810,692,581,573,914,992,583,018,043,034,478,
926,184,834,408,685,005,316,290,313,795,255,180,080,276,564,278,798,146,254,
212,249,449,650,323,946,821,938,389,451,495,732,951,035,517,217,209,646,691,
832,552,768,171,219,729,548,262,478,561,503,478,148,417,047,330,819,570,428,
338,694,292,043,745,883,407,242,244,623,938,717,075,837,917,275,232,806,393,
581,024,417,982,567,723,482,719,480,588,443,451,231,393,786,852,037,232,116,
885,179,161,012,702,613,119,153,050,602,379,558,549,033,060,356,283,993,052,
831,170,769,642,504,019,398,824,370,393,404,495,437,717,283,386,631,719,071,
774,486,535,340,726,642,153,604,748,605,744,854,153,013,182,712,510,379,682,
085,373,568,554,509,887,169,253,001,686,354,670,206,631,790,236,041,174,361,
017,336,635,467,116,946,691,044,322,201,861,375,595,575,815,480,990,656,166,
110,699,805,892,192,845,102,757,621,837,981,242,157,905,841,324,986,066,041,
126,792,897,823,126,801,475,970,934,593,936,896,928,358,569,708,614,419,234,
020,966,440,738,143,684,317,533,565,758,360,042,005,598,951,673,377,106,530,
151,291,532,272,704,442,855,499,795,051,166,076,954,658,899,056,380,072,793,
066,249,659,043,635,208,417,509,149,774,407,673,912,485,812,425,036,940,742,
385,164,311,219,694,800,425,647,100,734,515,750,460,549,525,786,757,171,323,
682,993,271,416,540,552,397,975,970,721,334,377,689,089,589,030,024,858,202,
616,668,539,174,946,914,893,423,927,478,075,133,379,266,328,856,540,312,402,
967,674,473,507,776,586,218,625,176,654,275,943,356,844,523,255,845,724,210,
298,097,107,234,604,862,252,266,800,969,054,244,371,403,595,259,215,874,356,
306,882,781,309,905,701,219,320,300,499,600,265,133,426,247,571,971,242,644,
052,079,843,921,711,615,582,331,809,514,902,046,289,343,955,188,067,288,751,
884,865,198,535,501,846,499,450,053,433,161,963,441,658,299,523,382,760,042,
919,775,707,312,123,648,751,930,881,338,378,769,990,280,237,238,679,834,072,
688,998,797,063,976,815,042,630,280,121,922,859,103,055,074,805,000,825,279,
578,712,251,283,387,792,664,570,683,913,675,210,377,947,476,697,952,152,839,
860,287,788,866,966,854,662,662,366,418,857,193,859,710,394,042,340,545,940,
950,319,171,808,788,047,909,036,245,723,473,999,907,889,385,397,074,116,291,
348,941,301,557,360,249,611,680,470,314,291,226,549,371,451,866,105,700,558,
900,061,944,038,310,441,843,764,171,530,145,527,132,329,305,549,872,932,553,
788,561,221,669,939,965,678,737,925,549,230,441,135,235,380,515,998,243,778,
261,906,848,642,718,954,181,509,859,999,942,058,288,801,353,764,328,560,357,
610,909,614,015,210,767,133,668,617,994,213,768,020,888,467,538,347,217,397,
014,351,596,963,128,536,028,421,421,922,707,559,217,715,335,781,096,717,938,
994,704,846,824,014,589,558,292,776,449,561,318,826,289,162,545,350,955,593,
083,959,719,038,682,755,750,351,420,335,913,752,684,249,581,277,530,745,599,
038,419,857,329,771,407,624,637,812,051,218,609,727,237,738,081,374,030,577,
640,609,460,378,637,977,824,085,076,831,833,341,339,059,180,934,816,299,363,
479,461,158,231,439,823,482,136,218,083,588,654,548,544,696,128,020,003,076,
733,916,262,144,958,147,832,878,394,478,584,333,192,756,559,610,955,163,773,
212,979,910,169,757,762,879,355,174,516,267,657,385,039,841,752,087,931,981,
803,559,383,008,768,727,877,435,777,527,556,032,135,226,743,769,113,875,425,
447,702,139,183,654,862,838,946,543,648,881,446,799,344,901,556,034,621,506,
620,726,438,813,526,466,858,528,865,860,520,372,632,487,054,365,247,650,681,
125,245,051,378,176,604,284,624,451,279,609,989,637,763,509,790,094,591,108,
681,071,988,024,362,941,284,300,993,606,675,156,276,064,172,748,000,489,656,
008,256,190,451,161,977,624,630,924,246,609,963,174,147,643,892,357,110,080,
347,154,496,174,486,103,532,083,214,856,288,792,594,917,800,552,935,516,015,
470,559,676,417,364,363,022,942,494,300,149,694,645,105,408,083,010,178,875,
553,539,903,067,334,868,348,341,577,269,418,030,283,218,710,475,711,014,572,
234,387,395,482,544,441,824,074,745,594,562,320,780,885,260,618,104,920,065,
186,137,225,111,242,851,738,850,010,733,157,374,452,732,494,351,045,876,720,
676,600,672,158,987,296,644,672,880,916,563,498,683,113,822,421,353,357,732,
343,453,105,322,129,641,149,454,423,518,152,409,046,188,631,886,122,285,286,
897,095,949,989,000,003,432,376,758,301,803,941,232,116,096,956,446,102,517,
105,422,713,159,954,978,296,971,364,095,558,210,314,947,602,201,066,898,372,
314,876,227,465,779,466,364,750,296,055,868,512,627,199,876,306,311,718,489,
100,026,959,335,393,882,068,130,360,013,740,788,352,748,187,445,653,741,457,
494,553,107,804,425,575,646,953,011,116,889,260,506,494,117,196,123,574,428,
237,193,290,175,951,897,984,647,100,795,219,547,376,447,140,561,458,541,948,
565,109,552,271,079,438,397,460,578,167,577,019,001,570,844,026,238,502,662,
804,381,825,503,933,910,756,648,255,911,694,162,440,702,894,831,956,294,420,
321,961,600,304,270,002,362,534,048,051,464,746,383,548,008,438,751,615,538,
888,272,652,918,082,815,968,193,279,650,990,827,073,890,420,854,030,692,091,
298,475,426,148,205,227,874,228,780,682,393,277,604,243,200,703,548,165,623,
604,630,649,241,478,742,790,689,081,131,596,968,943,145,053,331,541,007,798,
902,511,293,037,080,075,569,166,547,726,705,633,814,521,017,280,131,734,319,
281,693,865,687,487,343,234,017,650,836,503,986,387,799,546,029,199,447,774,
323,619,469,288,443,415,421,599,792,901,728,983,349,188,230,135,708,088,733,
020,165,685,624,189,199,729,840,769,977,703,125,749,301,148,330,136,897,802,
931,523,251,522,239,257,225,395,186,065,884,455,314,132,140,456,836,961,880,
005,210,216,113,178,831,995,104,265,232,859,482,165,626,090,770,586,653,216,
524,442,850,783,512,274,612,656,424,129,277,487,122,845,311,276,149,707,090,
988,581,046,973,297,115,689,804,121,169,517,423,588,745,318,731,165,994,375,
661,257,242,715,373,217,774,442,393,110,567,710,975,944,462,083,824,781,781,
281,279,843,924,224,878,181,689,493,101,225,146,064,533,935,149,173,908,896,
503,069,185,352,498,131,248,312,191,839,446,164,963,267,280,729,100,772,101,
663,546,902,135,929,039,397,283,630,751,582,014,746,312,895,473,948,510,734,
966,520,159,255,669,385,342,183,970,399,995,211,653,520,699,412,049,890,224,
612,446,977,547,179,827,833,051,022,897,864,624,363,727,969,215,305,422,688,
942,299,455,067,497,344,963,123,102,930,207,838,753,509,867,097,004,945,632,
216,895,838,464,096,642,838,894,408,531,686,244,538,601,198,318,788,871,137,
653,048,318,832,799,702,722,983,142,186,762,690,137,825,204,451,200,880,892,
660,989,057,846,517,221,708,145,142,946,025,398,759,583,832,065,033,480,805,
196,274,726,385,135,840,311,344,524,737,274,159,582,802,344,648,297,393,408,
863,312,812,233,476,809,964,832,355,030,213,714,486,453,695,119,042,186,953,
073,014,332,851,192,293,680,374,132,867,968,388,194,380,070,513,943,757,312,
956,818,828,649,256,588,723,340,513,085,909,670,779,268,051,881,062,549,872,
365,108,811,913,814,958,640,776,041,989,739,185,846,064,403,134,473,431,513,
547,053,913,594,938,970,699,094,422,777,800,801,721,398,992,339,816,720,433,
681,823,076,871,684,458,534,947,410,285,347,826,246,983,387,581,432,611,865,
987,616,073,713,716,770,977,406,011,669,941,661,264,026,091,708,559,571,082,
252,883,919,879,304,661,618,225,358,925,281,764,900,062,637,623,142,020,831,
500,869,492,035,774,114,751,134,810,813,841,352,617,127,181,145,845,909,886,
468,055,937,439,033,959,624,336,051,949,063,491,382,412,501,179,158,402,350,
391,639,786,586,817,953,889,540,866,734,435,608,372,912,818,816,639,547,829,
361,705,052,187,316,703,168,279,250,589,274,168,453,102,624,866,973,052,604,
628,173,929,346,814,676,614,297,716,450,834,146,431,600,620,262,765,031,426,
790,096,210,352,162,646,965,978,771,097,635,829,534,500,025,556,698,998,413,
096,541,943,983,301,906,423,818,032,134,724,137,001,177,693,863,291,780,010,
020,386,023,786,233,344,859,981,022,565,744,926,491,365,511,634,221,301,200,
124,524,062,674,989,966,868,360,128,213,182,699,961,913,882,933,387,297,089,
212,010,959,148,447,199,703,878,120,163,845,618,788,380,486,482,183,920,402,
120,384,103,880,521,838,858,252,233,446,306,007,140,774,227,388,780,440,037,
385,003,441,229,471,195,272,109,320,320,589,604,630,900,800,738,662,422,437,
936,300,855,279,866,110,033,851,142,972,101,100,528,100,123,854,808,331,731,
939,142,024,735,347,275,166,461,834,629,839,273,483,522,582,974,251,180,109,
417,201,298,088,660,849,904,391,064,671,056,664,944,242,527,371,837,674,057,
601,275,893,718,910,642,490,744,276,150,457,425,095,175,998,908,423,728,002,
777,923,635,942,239,447,668,349,010,564,485,493,814,598,510,602,876,691,352,
437,705,298,673,909,014,803,229,041,454,221,884,517,380,334,237,161,075,180,
551,219,429,898,712,576,990,829,893,222,230,875,501,097,017,842,263,940,822,
496,608,002,980,151,873,830,360,840,071,615,311,446,246,908,641,717,362,312,
268,233,999,640,065,907,407,338,672,020,661,670,868,101,001,521,322,342,157,
340,385,901,604,470,052,719,259,754,221,551,966,253,440,495,879,613,270,907,
143,356,473,488,839,674,605,847,306,425,474,710,054,916,312,501,931,825,154,
353,907,850,660,460,448,717,639,748,261,546,526,810,779,027,067,947,414,866,
961,288,229,939,008,612,079,667,697,718,990,653,795,765,222,891,810,529,201,
922,384,399,612,950,255,238,611,738,631,793,553,603,111,510,072,773,004,110,
793,162,582,863,752,042,898,838,255,551,627,894,229,607,325,342,005,571,530,
533,602,847,412,326,156,491,446,491,746,132,504,085,903,586,674,771,620,729,
695,751,769,943,286,553,596,938,360,750,728,088,292,303,191,019,673,031,680,
403,105,339,161,448,358,507,032,877,536,375,414,931,829,995,476,569,399,838,
240,880,164,767,174,195,503,809,100,700,899,673,147,768,679,638,775,131,732,
007,355,381,763,454,096,123,578,996,660,794,147,592,172,036,590,520,798,359,
305,047,882,151,669,107,126,599,118,928,772,620,823,558,275,438,724,325,940,
758,129,723,217,620,380,179,727,029,041,198,282,852,520,243,146,699,333,990,
427,221,093,348,576,578,413,849,495,335,087,161,966,157,930,650,014,478,092,
808,997,455,027,615,174,426,089,849,467,245,288,980,963,978,931,889,123,483,
316,861,020,139,071,809,991,582,491,759,255,779,641,764,627,268,223,060,767,
115,763,737,891,039,608,149,016,510,264,677,028,719,996,065,431,128,356,912,
707,735,554,180,034,329,448,274,928,030,760,494,470,457,309,958,341,426,580,
067,819,659,795,786,182,724,362,155,811,622,526,837,057,968,215,166,445,991,
744,426,653,797,766,202,690,061,058,995,602,069,293,817,706,093,069,426,047,
803,540,201,422,741,745,859,678,323,521,017,458,984,846,741,260,709,122,513,
884,738,373,251,095,590,707,366,394,084,816,616,014,917,718,124,933,095,643,
224,964,942,590,263,680,163,085,751,268,575,010,400,636,525,175,631,044,486,
964,984,777,262,451,330,260,318,628,954,164,333,283,109,989,077,499,877,134,
698,527,736,288,481,749,574,579,411,490,225,217,988,663,484,482,574,012,198,
146,832,073,457,982,262,883,687,864,832,898,295,352,505,974,556,934,470,656,
579,218,200,048,038,700,705,747,426,810,146,038,058,717,246,092,153,729,303,
726,623,638,604,280,609,593,072,262,109,247,031,718,588,658,984,371,340,948,
101,115,013,815,734,877,357,943,446,673,544,641,953,626,453,569,000,166,506,
359,109,133,959,495,627,814,888,913,278,977,379,056,286,629,500,385,819,691,
967,864,565,931,276,989,989,601,323,144,534,838,077,075,401,173,708,464,705,
054,833,615,696,342,773,393,259,707,476,886,073,860,707,117,052,067,752,866,
834,298,815,193,166,949,904,443,857,078,022,062,961,991,174,839,447,463,483,
912,796,084,766,533,157,055,688,407,444,299,436,914,484,935,060,641,559,309,
013,725,610,228,703,595,501,349,328,464,800,199,978,312,317,426,300,558,803,
734,698,804,754,557,164,293,677,702,130,740,332,174,577,047,992,886,793,872,
642,490,141,508,534,378,980,382,757,156,046,884,645,504,493,377,528,668,887,
020,101,379,717,929,600,091,021,395,912,608,597,860,141,876,054,726,495,831,
255,623,967,147,480,298,677,578,404,852,767,553,101,504,323,190,482,022,028,
390,987,521,164,276,897,788,273,716,350,483,110,866,622,440,807,321,265,132,
586,839,815,377,978,014,686,069,625,311,675,805,697,754,404,680,609,115,118,
572,931,727,520,106,850,585,835,334,585,398,666,969,928,717,432,987,738,707,
132,222,603,641,590,533,583,009,751,985,452,348,176,505,082,313,380,766,385,
895,081,890,178,101,837,264,592,142,973,237,592,548,859,559,084,737,068,819,
096,542,756,207,364,328,313,612,182,632,841,160,495,059,142,920,083,232,528,
943,130,160,265,981,279,537,183,542,482,421,551,705,164,612,840,892,139,157,
136,781,587,039,165,681,837,876,450,872,260,714,400,462,637,972,522,076,977,
046,067,936,091,954,863,346,702,278,149,474,622,760,344,834,829,505,437,792,
423,457,408,321,716,427,881,272,775,896,466,243,668,059,987,506,066,368,659,
065,404,088,292,890,350,093,166,530,431,356,790,681,145,441,669,056,841,640,
902,195,773,012,123,947,659,736,913,306,290,759,595,000,292,480,652,789,259,
404,573,652,209,471,244,056,233,116,827,320,090,205,443,245,421,775,138,186,
684,117,501,397,369,776,352,702,713,435,906,858,527,314,321,317,230,137,257,
559,924,835,436,352,615,714,341,028,728,938,833,793,454,624,412,767,000,433,
064,746,631,558,425,045,275,340,571,371,800,992,441,666,394,732,732,111,661,
215,387,910,357,899,265,719,481,278,024,903,274,530,938,100,499,340,257,191,
343,325,045,590,791,454,274,003,753,886,366,952,415,062,576,464,233,183,800,
003,856,148,757,066,730,982,748,522,423,617,066,930,523,831,154,463,406,771,
981,791,898,637,230,624,438,692,712,433,106,507,244,504,059,553,485,939,930,
241,907,917,053,801,755,115,804,296,427,797,309,703,730,748,400,905,691,716,
611,839,399,525,805,757,538,056,162,466,832,598,102,125,892,863,064,161,141,
766,726,291,990,957,825,469,753,881,150,880,252,579,340,926,260,153,962,230,
325,133,251,620,228,594,854,477,725,156,760,133,619,854,592,970,425,741,907,
833,140,376,660,538,608,337,821,637,777,513,421,929,921,300,758,164,390,205,
819,118,126,534,458,874,153,999,149,682,676,857,328,775,273,105,832,191,565,
784,371,108,179,660,659,365,565,072,078,196,660,286,234,776,917,170,117,759,
571,361,111,171,694,151,794,945,399,124,863,743,263,390,714,261,475,347,094,
972,467,701,987,500,070,969,439,753,281,947,722,558,528,523,983,346,094,438,
588,363,849,719,000,938,534,447,670,153,633,537,155,975,231,081,327,494,106,
931,128,396,136,824,939,521,658,910,189,602,468,140,400,031,394,726,326,396,
997,251,669,862,643,586,071,000,151,421,254,646,388,890,883,050,057,507,272,
990,295,928,945,719,380,548,779,326,183,575,087,614,579,939,734,593,816,533,
074,265,175,896,420,687,565,150,796,010,732,405,886,470,868,880,158,356,379,
977,729,077,933,302,714,453,202,994,344,441,147,403,230,356,139,909,848,864,
357,391,309,921,236,667,374,678,219,004,335,298,718,090,141,446,800,059,281,
508,683,879,773,151,416,211,413,004,503,775,139,388,888,361,248,914,804,889,
267,181,657,927,924,496,819,280,230,888,419,388,897,092,690,402,889,169,925,
195,707,060,785,295,813,845,345,479,256,781,075,351,599,759,037,605,530,492,
500,423,480,202,063,662,588,174,047,288,450,426,958,465,798,641,734,159,733,
473,685,996,062,290,661,017,946,089,470,958,690,123,388,005,847,177,008,312,
792,461,806,028,653,703,397,622,688,687,868,104,676,580,054,558,883,684,983,
715,403,115,504,061,390,966,734,663,538,275,946,168,179,167,681,231,351,323,
833,878,054,853,835,287,318,215,872,236,793,712,824,369,132,843,722,446,563,
410,205,346,479,700,738,270,295,879,843,738,194,815,724,906,866,252,563,101,
369,107,139,709,342,066,110,415,600,389,517,814,100,052,326,119,569,320,735,
952,756,161,724,741,575,511,017,744,685,959,110,385,569,644,581,983,737,049,
310,427,180,373,201,567,415,349,613,884,928,023,951,265,794,142,501,453,330,
442,486,142,249,931,866,332,673,690,627,281,820,814,950,456,267,387,473,575,
462,950,532,301,709,073,734,450,798,627,208,939,028,323,289,733,857,644,304,
175,843,848,673,752,063,172,449,060,721,104,073,237,379,704,620,397,158,183,
723,314,075,977,909,429,256,504,016,030,858,609,274,121,086,669,295,395,653,
316,833,605,694,231,803,801,946,406,244,456,347,717,647,285,431,932,505,133,
464,455,362,447,306,485,367,439,873,224,194,682,769,224,817,578,900,961,128,
872,675,661,920,738,822,593,916,861,884,041,890,558,121,258,209,680,196,849,
534,415,531,621,668,386,491,153,036,045,840,727,373,978,312,416,705,150,912,
642,427,202,943,198,005,391,235,491,259,209,926,618,290,561,717,881,684,205,
268,530,578,312,725,376,503,653,827,976,572,040,865,279,412,146,282,382,447,
317,596,118,196,064,055,885,005,301,138,788,272,983,549,078,474,601,652,831,
342,737,874,328,058,029,777,565,952,256,622,420,538,587,346,176,758,249,612,
315,125,530,811,730,027,310,341,591,212,630,102,506,786,457,269,777,370,125,
852,208,428,743,638,453,079,528,230,122,013,592,125,621,989,188,733,207,611,
088,593,845,911,023,667,269,879,004,392,505,235,583,136,566,690,216,295,663,
363,551,534,600,907,829,529,367,235,231,630,101,012,439,982,594,918,485,048,
304,788,310,147,374,715,407,363,962,006,171,169,882,176,495,529,656,862,112,
524,004,963,896,235,312,986,737,236,474,877,823,715,785,513,198,329,379,504,
815,583,927,624,908,368,168,772,400,317,530,989,936,640,435,263,210,237,885,
600,808,912,594,219,428,057,850,028,681,456,163,566,105,967,853,744,285,816,
155,069,237,511,605,058,582,966,247,242,507,855,768,591,866,772,350,914,986,
820,723,737,512,697,684,590,846,242,587,365,865,774,413,953,930,129,078,528,
539,190,608,564,815,776,917,682,975,690,301,097,349,429,317,668,903,334,342,
926,000,745,012,653,638,812,803,641,606,839,341,209,370,517,859,462,365,444,
770,660,659,565,044,986,460,883,979,738,865,510,860,497,752,482,713,432,902,
017,051,399,569,414,212,672,442,999,896,792,255,505,407,537,980,112,671,138,
260,792,258,760,262,800,852,955,439,941,979,674,191,819,946,930,319,033,323,
963,728,041,230,620,564,824,298,015,446,603,575,194,182,347,357,246,081,940,
320,448,441,643,357,246,581,294,290,932,893,021,009,589,466,995,671,286,457,
664,431,960,204,901,107,440,063,999,007,973,851,309,906,372,089,492,959,607,
908,359,707,612,812,859,241,068,932,621,890,207,203,909,668,662,784,412,379,
309,260,294,141,487,818,847,535,618,513,657,410,064,055,029,031,961,001,132,
497,589,066,211,581,950,494,467,688,919,073,984,994,302,769,763,769,372,846,
410,279,074,516,699,218,229,858,379,007,202,828,298,210,233,832,605,915,546,
179,000,825,449,007,423,572,335,696,344,521,462,391,759,872,575,245,520,998,
443,108,193,846,538,826,413,102,712,278,622,641,020,484,431,450,704,875,740,
387,917,216,618,912,259,686,773,742,743,829,530,762,688,812,565,574,933,001,
418,020,710,758,003,814,289,227,075,955,628,474,430,963,260,719,145,018,741,
633,428,607,971,968,630,218,515,545,106,756,004,864,560,467,482,244,858,473,
179,720,655,153,372,092,916,107,846,613,231,175,465,157,430,208,424,182,909,
253,159,374,556,176,892,951,860,043,808,314,912,893,816,937,420,122,662,583,
167,584,061,641,855,546,426,148,186,321,119,929,065,072,314,863,201,896,766,
648,229,335,963,688,895,191,939,918,594,758,777,253,244,314,702,973,974,018,
447,895,619,174,352,421,833,974,375,132,334,287,056,183,414,348,893,936,241,
903,653,366,900,906,587,239,742,106,795,420,931,250,330,812,633,324,947,914,
916,731,974,099,995,622,627,365,622,861,980,555,999,656,705,434,170,919,659,
089,027,689,702,997,368,770,857,066,746,744,685,437,100,230,050,508,704,022,
770,633,798,871,582,264,642,190,745,342,929,875,144,057,154,648,505,653,315,
961,009,026,408,930,879,493,501,600,328,941,109,993,846,148,569,499,614,706,
191,260,010,096,692,951,714,758,507,379,732,821,287,545,568,197,932,452,225,
686,766,116,114,193,347,116,268,108,165,591,296,808,942,097,746,875,642,580,
028,149,619,123,899,231,023,603,793,573,578,516,675,185,662,570,742,720,733,
017,640,954,810,934,047,502,859,947,346,719,491,643,644,453,231,606,803,650,
776,873,696,893,008,379,686,588,969,542,724,721,803,238,090,177,078,885,575,
173,068,734,134,385,684,845,340,227,187,742,516,249,479,622,046,562,586,599,
226,667,858,207,741,536,377,094,269,649,560,699,601,944,744,006,141,636,809,
680,602,253,115,267,511,956,195,142,335,655,745,602,733,783,472,206,779,791,
895,505,784,379,135,814,427,059,908,790,979,839,001,286,340,550,248,866,754,
212,938,011,935,568,208,402,041,104,096,444,886,534,545,707,012,041,225,790,
602,260,057,558,224,385,106,390,688,236,631,620,490,522,371,466,688,168,146,
173,796,746,942,314,745,281,666,142,928,681,950,940,915,522,418,783,574,481,
477,174,374,000,087,266,630,372,901,930,297,041,604,536,055,553,068,442,077,
736,733,625,296,682,066,907,412,950,535,068,353,077,412,596,712,261,717,937,
891,629,542,298,456,290,423,449,744,961,117,823,666,333,936,472,620,545,424,
100,216,850,987,975,864,504,258,708,975,134,006,436,336,911,488,803,745,008,
646,675,014,416,441,068,895,257,414,931,278,086,349,425,577,889,918,039,473,
120,294,730,561,920,091,919,160,987,857,351,963,532,365,927,354,180,865,126,
023,454,366,611,663,464,324,233,940,533,106,710,262,972,515,721,885,899,775,
694,257,155,441,886,963,539,365,530,575,781,527,771,624,376,179,834,827,760,
597,604,190,231,651,481,920,427,217,855,502,890,374,463,884,243,857,973,414,
066,745,933,890,469,668,507,890,919,590,382,447,738,326,169,148,053,114,105,
561,456,646,424,516,123,656,991,930,338,829,697,009,128,395,899,941,477,523,
908,508,785,445,144,702,081,809,603,594,094,169,386,505,063,682,432,610,308,
637,374,144,352,261,986,320,912,754,245,686,309,072,573,893,138,899,628,251,
277,510,044,791,238,524,513,535,426,443,709,154,058,554,861,880,309,474,284,
126,443,150,838,679,890,759,757,931,835,393,994,041,130,816,655,446,287,584,
997,748,745,670,055,074,825,380,474,115,845,361,142,099,220,750,014,236,552,
408,164,608,783,128,905,001,696,722,651,226,189,858,915,643,860,257,987,379,
257,753,120,803,901,764,305,417,708,813,711,449,392,027,318,806,945,931,231,
160,491,722,468,586,047,536,755,881,299,193,765,454,054,642,868,134,741,139,
608,519,688,110,710,319,864,517,066,025,087,567,158,296,464,980,356,261,861,
333,249,260,890,424,286,117,847,725,729,821,751,474,220,273,769,622,322,722,
506,907,143,702,365,552,920,948,174,564,891,839,398,227,902,525,743,598,670,
730,942,995,131,929,650,436,420,129,712,571,505,473,014,057,608,731,927,786,
017,613,571,813,937,922,651,114,014,784,658,227,278,365,901,602,003,228,814,
953,481,388,996,844,287,183,063,890,380,243,251,971,362,911,902,885,473,328,
878,845,641,021,610,025,617,555,106,170,426,785,617,744,495,525,291,895,528,
236,078,252,393,683,817,064,741,635,918,484,971,469,023,048,259,149,517,810,
082,386,591,524,384,948,018,155,310,527,526,295,162,404,066,161,275,015,535,
489,801,701,090,121,522,732,512,956,206,682,602,776,295,802,263,915,369,400,
702,215,937,649,947,152,814,051,883,293,081,856,787,979,759,755,482,781,647,
402,835,860,024,715,629,145,889,494,449,539,371,174,642,533,869,061,866,038,
341,248,209,655,011,367,142,538,645,640,284,121,109,953,591,772,994,799,004,
866,971,247,522,152,981,597,015,281,048,780,776,840,397,155,544,995,850,737,
420,053,614,102,793,931,754,204,213,790,500,885,031,571,845,173,989,886,280,
522,173,674,187,498,261,573,379,087,221,662,201,707,443,282,262,388,843,504,
534,064,748,251,971,875,124,946,318,096,706,397,877,569,368,847,931,435,628,
394,022,348,775,002,852,155,038,247,835,149,978,600,707,298,213,173,958,538,
310,603,413,325,996,806,786,520,494,422,241,479,974,525,068,776,911,277,042,
270,042,435,812,389,032,855,993,589,712,614,046,282,476,841,098,472,223,161,
592,586,675,811,238,205,799,543,495,064,106,113,643,435,119,934,023,895,191,
475,329,771,608,854,574,088,374,177,705,065,619,434,102,610,717,042,390,025,
276,870,538,213,889,512,433,499,539,545,833,431,301,056,788,616,824,440,315,
383,655,871,675,493,172,061,150,922,150,729,298,861,288,413,547,965,644,279,
718,102,777,527,021,197,950,511,421,539,298,889,530,203,663,207,399,251,175,
781,162,979,460,744,213,160,301,356,307,165,404,878,170,957,619,457,372,424,
744,565,079,850,346,826,028,449,347,248,547,155,534,787,239,269,965,927,190,
896,003,354,101,271,357,906,125,053,346,638,660,291,946,625,548,149,048,803,
324,838,617,824,695,839,484,793,610,847,654,692,961,884,232,939,624,092,622,
054,482,325,355,321,263,872,941,149,787,091,933,493,207,200,896,019,410,990,
943,691,378,416,489,646,944,887,464,402,708,175,618,432,337,611,176,355,738,
450,347,911,151,302,898,439,056,833,898,149,482,718,366,499,615,097,655,758,
839,954,005,647,621,680,460,266,410,750,395,757,536,083,297,762,303,298,541,
710,149,779,623,061,321,577,307,493,191,287,424,445,295,319,719,299,498,898,
693,653,911,250,905,564,252,201,898,845,932,107,333,936,368,580,054,817,130,
011,710,529,882,860,801,362,605,177,416,225,921,859,230,548,128,753,165,508,
483,667,033,846,153,793,596,690,656,204,002,978,952,094,423,792,135,984,933,
647,221,309,764,521,971,752,230,409,745,174,950,780,020,247,116,266,268,241,
770,575,121,733,779,391,462,355,936,024,202,716,121,156,313,297,206,243,244,
270,888,603,588,776,661,565,386,348,447,958,963,690,686,461,770,440,726,284,
080,621,137,272,495,332,399,065,780,252,131,072,124,242,946,831,501,499,903,
709,201,169,770,670,159,938,263,808,578,407,461,400,536,211,422,681,991,040,
578,526,020,518,384,627,180,449,965,355,435,372,483,894,524,374,387,768,584,
271,603,516,253,473,477,446,068,795,177,286,323,195,261,137,461,979,812,051,
648,144,533,719,906,820,004,116,820,630,869,399,545,353,175,848,176,010,484,
796,126,297,821,518,925,345,639,703,860,208,543,531,297,746,490,787,439,477,
994,411,465,343,744,135,030,157,609,918,258,128,185,347,140,472,314,556,205,
562,030,110,640,939,928,547,998,893,861,906,542,001,530,245,828,586,525,505,
774,847,862,279,304,599,147,120,813,557,807,881,418,114,648,594,776,037,929,
118,003,478,313,922,245,652,065,593,759,245,881,951,396,816,709,644,745,060,
008,449,951,017,185,021,876,883,181,178,642,046,530,013,159,472,232,343,906,
536,701,857,105,443,351,531,243,246,833,192,197,649,032,026,755,829,073,719,
388,837,317,806,129,185,185,335,966,359,055,158,025,247,645,957,710,504,258,
958,194,705,070,796,665,967,051,422,605,021,113,613,405,671,963,326,201,720,
104,990,278,185,236,550,372,030,210,225,973,027,380,738,922,929,499,700,797,
097,273,808,382,251,202,369,523,367,966,002,684,091,984,625,715,924,235,734,
721,585,579,308,324,014,657,609,946,073,283,103,403,273,641,990,055,269,279,
776,604,302,059,567,086,908,722,675,515,750,189,290,753,665,923,601,096,286,
111,506,593,140,307,118,753,078,527,365,191,439,515,995,537,690,390,893,898,
153,716,023,817,900,868,646,043,245,627,455,867,795,278,680,318,830,759,677,
284,005,407,102,568,053,136,353,753,219,295,216,740,553,982,277,409,597,382,
947,500,716,795,057,159,571,765,310,874,696,558,520,073,936,307,479,808,616,
994,815,316,599,496,423,867,290,599,244,125,276,634,913,671,997,441,665,314,
135,955,780,093,677,020,797,325,169,145,951,581,418,413,742,068,726,849,529,
944,907,051,573,478,001,716,568,409,773,225,753,613,117,707,427,508,418,771,
346,948,216,653,615,608,092,121,122,926,542,970,934,243,076,212,116,792,361,
769,076,884,070,296,846,950,439,764,437,531,766,137,840,472,926,555,428,751,
249,220,417,452,385,618,144,000,972,998,551,430,354,975,136,247,463,004,277,
158,476,349,448,772,782,691,667,470,493,856,994,578,248,880,527,010,587,137,
125,379,387,480,103,388,730,583,373,562,192,171,988,201,668,167,284,108,762,
318,295,503,982,354,272,277,352,183,545,220,393,703,147,099,818,059,379,082,
107,210,390,290,721,938,467,490,437,039,796,107,608,924,922,841,133,292,939,
354,585,423,305,041,099,169,725,788,823,778,726,213,919,705,543,442,377,160,
757,711,972,305,314,067,495,762,983,467,440,656,270,510,864,429,159,480,327,
340,280,582,059,919,946,101,542,444,258,268,733,774,729,883,190,211,409,043,
096,017,599,335,985,939,502,395,171,774,714,370,022,975,436,177,717,252,311,
872,264,228,124,635,334,066,734,222,165,092,566,601,545,280,846,801,941,406,
242,880,692,045,403,086,414,709,728,876,479,499,860,926,829,259,075,997,170,
096,434,348,251,979,847,921,950,779,995,364,876,437,971,786,681,680,697,191,
163,748,218,100,264,215,491,404,312,474,950,998,975,648,904,411,675,653,552,
980,884,512,808,137,781,437,763,239,350,037,301,545,362,641,049,947,618,774,
773,181,065,416,676,267,341,604,428,150,051,658,520,205,610,839,195,275,248,
336,845,090,013,673,179,198,771,029,510,291,041,006,813,170,123,096,587,315,
167,773,082,828,152,573,472,038,616,034,110,559,502,347,401,111,656,078,011,
846,175,351,986,238,872,210,640,569,742,199,157,785,411,611,113,424,210,750,
474,554,284,429,650,666,486,382,769,012,052,960,186,529,813,411,852,767,667,
655,797,112,295,778,883,767,780,386,934,524,846,450,708,297,646,175,944,628,
658,378,911,791,701,194,936,891,423,320,458,834,407,954,928,248,515,945,236,
640,482,026,050,316,820,758,058,933,068,023,507,829,450,341,402,047,618,923,
284,931,374,560,926,135,681,531,315,937,552,642,511,565,267,926,946,146,535,
940,865,842,569,964,936,730,615,286,620,366,108,191,601,724,976,164,855,104,
566,376,627,871,404,860,013,268,446,039,148,018,204,845,806,094,353,195,281,
557,390,420,561,292,604,850,167,216,959,283,092,254,837,067,997,980,139,106,
541,344,955,145,889,375,134,923,834,567,774,762,266,728,275,428,335,077,837,
776,651,013,793,030,969,260,163,013,092,918,440,792,704,494,767,217,899,867,
008,541,199,234,751,607,182,183,724,807,534,347,787,885,504,447,068,077,288,
598,067,829,832,351,222,904,570,909,616,087,186,484,242,382,228,939,222,459,
745,020,469,209,675,778,767,730,576,420,415,602,979,145,298,033,639,275,242,
883,264,097,289,719,615,246,434,243,652,717,971,571,238,602,369,676,245,259,
753,867,650,905,402,291,166,839,976,552,418,391,829,063,263,745,851,352,228,
694,904,162,196,238,265,094,918,750,091,117,752,381,545,298,040,715,280,030,
931,431,766,362,845,807,278,571,546,934,800,718,452,081,598,025,748,807,948,
289,375,080,100,329,064,921,935,543,018,928,469,531,533,754,079,219,545,508,
898,387,678,940,108,900,490,847,579,065,867,477,083,721,690,292,637,505,968,
685,099,713,483,830,369,137,072,257,950,194,707,580,227,186,156,730,900,779,
230,904,506,631,052,789,766,580,243,428,459,443,648,286,026,013,989,963,631,
683,695,973,761,046,686,430,118,292,222,465,147,069,737,102,001,620,562,354,
323,639,954,132,532,235,633,309,095,775,779,980,955,252,623,558,843,670,471,
403,054,612,198,985,029,697,482,435,365,048,140,397,740,957,930,615,867,244,
301,955,256,435,409,830,292,937,783,543,024,541,329,224,348,603,938,169,487,
378,320,074,374,994,247,168,338,812,741,991,597,944,506,977,151,810,976,287,
149,826,962,586,997,711,372,502,868,986,625,067,229,134,728,969,038,430,719,
923,551,796,918,045,576,878,122,299,658,471,060,282,352,117,472,473,922,490,
584,677,004,242,282,789,271,240,155,845,740,322,183,300,573,955,296,263,442,
926,755,328,438,651,172,413,111,308,489,350,898,364,919,631,357,250,285,785,
091,177,410,832,331,690,872,171,254,754,582,176,109,117,510,674,967,062,112,
175,025,940,321,963,471,698,159,383,774,269,999,038,627,548,249,154,067,931,
994,945,711,107,669,202,009,666,557,416,968,004,013,147,426,226,241,243,557,
630,531,839,391,571,023,843,797,326,660,627,596,774,964,651,819,680,060,767,
670,192,657,804,319,848,364,863,295,017,071,577,117,869,557,077,356,091,893,
815,363,084,038,413,090,521,069,552,754,711,786,478,780,788,818,219,770,439,
391,164,638,583,449,289,469,807,493,762,328,747,019,817,544,888,748,212,406,
896,098,053,974,846,529,630,568,495,382,149,818,947,040,689,936,809,984,854,
157,699,151,262,279,522,064,752,768,039,620,663,723,873,695,743,781,608,561,
424,602,932,844,345,972,631,495,632,433,202,074,659,344,199,362,522,548,765,
962,493,232,310,926,386,763,317,794,808,591,406,172,738,889,090,126,199,429,
176,960,506,264,393,268,580,849,594,958,496,675,594,026,764,142,869,416,430,
744,844,976,204,634,639,745,804,192,636,500,344,907,718,010,461,031,595,036,
942,976,665,619,685,422,823,569,999,788,955,556,397,309,418,552,297,371,333,
314,261,653,515,359,257,621,977,164,953,272,939,504,555,920,496,166,980,300,
803,862,059,587,727,633,908,528,607,901,693,184,132,263,043,948,948,522,393,
795,861,148,484,158,955,489,125,202,384,291,150,595,002,628,531,579,458,339,
803,556,561,771,459,151,715,462,236,385,751,559,523,628,453,205,182,733,255,
257,635,790,407,882,701,666,564,427,654,207,677,028,388,415,654,704,682,688,
214,681,731,120,664,290,915,023,949,344,423,966,252,925,517,866,121,819,359,
877,170,422,903,771,918,232,269,422,366,015,761,344,314,411,322,134,576,011,
198,935,780,000,941,863,424,689,519,697,046,631,768,508,157,388,941,682,565,
251,689,648,757,453,887,661,002,185,752,494,587,305,009,476,936,367,381,172,
023,842,922,181,146,433,482,497,016,607,534,351,679,311,062,276,074,389,933,
027,839,152,869,512,219,551,858,425,096,097,959,034,579,300,340,267,381,323,
285,743,933,463,891,723,899,101,512,592,039,677,631,369,070,260,071,858,179,
104,098,442,588,185,559,483,032,295,451,689,052,298,118,269,265,143,200,889,
703,827,240,102,289,486,719,529,850,234,901,321,111,925,533,049,070,212,000,
700,161,125,785,790,223,972,657,821,710,341,353,120,626,568,572,262,005,761,
195,813,786,355,582,346,005,597,033,540,266,938,973,056,753,301,388,914,982,
302,887,191,496,129,130,818,730,113,701,536,550,838,601,959,894,841,590,725,
856,604,282,519,152,238,085,123,697,047,159,462,758,114,652,178,498,378,359,
033,121,965,539,910,197,317,101,217,146,135,401,061,349,632,187,102,113,427,
376,293,618,753,699,821,932,318,835,629,182,762,070,092,536,149,524,509,094,
861,229,287,618,510,870,006,724,624,800,473,162,190,026,257,075,579,354,290,
216,530,008,917,226,917,593,254,416,650,448,763,810,126,796,432,765,382,745,
200,170,068,364,587,383,323,161,328,248,461,856,125,413,707,809,982,474,648,
585,946,083,336,376,822,682,244,077,713,416,631,581,920,773,985,740,490,564,
808,200,552,560,507,691,685,104,648,460,536,995,617,509,332,606,880,833,769,
304,765,627,597,864,599,971,938,921,702,339,043,420,205,116,995,021,436,236,
993,630,406,021,321,730,242,617,180,537,753,967,545,742,047,562,673,176,779,
165,892,808,765,444,891,033,970,692,647,388,371,537,586,712,726,190,454,548,
570,041,188,305,858,947,366,962,435,709,468,788,009,615,771,422,993,908,901,
842,234,835,934,207,878,959,623,906,479,825,246,737,592,246,132,798,116,650,
164,380,437,804,093,070,312,942,517,702,943,789,257,310,820,655,075,263,986,
651,110,602,639,298,192,990,859,302,078,754,326,689,502,822,883,582,434,871,
108,361,644,560,865,451,952,735,563,849,739,608,483,022,772,392,089,051,142,
285,051,786,889,700,929,698,333,121,082,335,619,856,909,687,414,772,065,155,
731,163,183,063,293,247,737,443,904,707,881,221,696,874,491,226,936,658,467,
727,565,949,131,693,853,528,855,073,761,290,465,384,856,291,205,113,465,329,
654,968,474,783,999,152,608,112,032,752,709,588,064,446,087,045,496,679,589,
857,073,575,874,539,638,853,985,794,932,576,839,767,908,730,340,009,385,813,
179,291,336,378,961,931,314,308,533,432,585,758,159,211,475,064,616,212,669,
544,904,966,138,575,287,974,607,637,586,024,217,902,441,283,803,572,897,698,
864,861,212,930,804,777,295,557,339,507,116,741,377,087,465,656,306,604,486,
554,692,982,825,135,880,671,850,818,415,775,380,770,659,626,134,558,147,634,
352,216,780,148,777,103,845,451,632,432,857,807,576,274,501,255,069,408,624,
926,810,753,732,707,304,304,840,763,332,050,326,704,575,745,624,854,389,555,
957,023,167,765,816,449,076,994,279,345,889,162,648,238,479,798,619,234,926,
624,056,289,511,755,656,922,501,592,183,589,134,578,157,666,347,362,928,544,
825,446,387,583,241,255,455,758,538,276,455,882,008,559,911,883,450,069,338,
151,942,814,536,643,517,825,061,234,372,809,232,217,379,164,568,128,618,714,
555,134,399,703,959,742,059,022,229,980,666,315,242,996,941,236,880,953,043,
587,507,697,724,268,197,624,053,544,388,699,832,897,892,337,202,790,194,673,
235,522,998,641,831,751,871,759,322,693,373,132,284,910,006,782,157,280,418,
976,637,382,592,640,163,464,175,390,973,289,098,040,319,198,310,149,601,340,
316,523,378,785,027,899,218,868,644,790,994,083,301,390,208,541,916,546,427,
815,841,879,574,471,388,272,803,425,730,925,748,628,694,658,876,440,979,382,
201,383,050,661,370,206,912,459,027,178,125,478,111,361,025,966,206,274,430,
431,650,751,549,620,601,756,912,613,452,314,860,912,796,082,502,454,479,126,
825,528,009,413,952,235,949,741,451,324,219,230,959,460,663,774,202,096,554,
962,406,998,644,384,556,409,684,218,744,175,324,866,967,487,938,514,932,191,
040,181,617,620,207,907,179,716,894,681,295,736,332,120,905,300,964,395,694,
746,984,058,104,702,919,300,468,567,005,888,620,006,061,057,548,835,823,998,
310,955,858,477,832,010,680,857,678,961,578,201,784,305,560,438,202,640,874,
385,472,587,388,310,602,534,565,949,303,351,437,742,705,131,062,974,019,482,
342,276,399,172,310,268,478,348,514,443,401,729,577,386,650,264,397,630,905,
349,372,144,186,843,472,214,407,952,822,716,460,303,681,000,479,896,329,715,
562,881,233,020,600,453,711,591,376,619,577,752,265,433,863,088,397,463,806,
019,150,613,531,391,098,303,754,193,135,869,941,103,256,593,107,925,426,746,
693,722,510,500,295,779,056,892,632,542,645,631,670,911,026,834,292,060,058,
358,025,010,204,627,942,170,705,715,207,093,535,061,183,899,362,589,612,625,
883,639,902,008,060,900,476,567,971,879,104,264,359,557,917,339,174,788,795,
607,001,368,378,406,683,315,641,157,500,374,133,840,006,049,308,242,355,872,
718,284,638,058,096,323,283,317,177,331,616,707,972,017,984,282,573,578,509,
544,863,922,183,532,491,601,256,008,440,867,133,222,420,919,860,569,969,167,
193,913,912,463,003,325,798,269,719,628,838,797,587,283,920,961,193,996,194,
664,976,894,638,399,724,235,718,153,729,654,843,648,764,149,965,998,622,269,
874,407,688,246,731,989,017,840,724,378,858,799,836,070,468,022,284,180,968,
682,502,917,330,867,847,171,367,501,712,181,303,706,512,635,266,289,242,838,
326,872,888,973,374,299,845,241,026,181,032,963,747,772,075,502,454,447,738,
308,514,812,550,276,673,426,552,777,172,700,464,630,657,998,125,549,146,905,
640,314,942,157,878,769,735,292,771,131,193,984,867,019,380,369,915,432,123,
540,099,945,564,305,828,617,272,442,086,231,757,984,189,511,439,082,427,425,
970,815,323,999,075,894,910,647,502,788,430,076,767,269,530,503,112,055,422,
059,626,956,153,861,541,712,440,637,396,438,709,680,276,651,571,848,220,321,
649,657,323,131,975,610,860,745,114,621,887,216,121,818,558,579,277,927,496,
958,193,541,661,630,488,067,347,298,187,488,883,814,583,631,820,589,858,693,
474,507,365,302,010,910,690,709,465,098,394,111,033,978,799,948,097,284,447,
420,549,362,990,621,933,631,453,989,004,261,556,370,628,813,485,825,202,537,
010,647,213,560,304,898,843,946,246,664,042,301,673,174,866,144,016,430,992,
439,095,582,846,012,871,405,571,479,150,330,030,545,700,733,830,083,532,957,
357,854,107,632,094,406,135,574,873,510,220,635,515,550,628,619,827,400,236,
744,190,758,385,677,871,699,723,592,451,061,232,647,205,271,954,494,735,623,
459,240,339,151,930,909,742,875,406,750,440,563,836,085,396,575,407,457,055,
363,808,822,507,062,158,276,914,224,177,158,361,151,133,878,776,570,326,261,
316,813,799,147,357,038,489,470,469,932,730,426,415,598,856,325,717,393,974,
298,259,170,636,770,266,412,808,390,766,495,412,856,532,864,244,716,545,594,
983,028,333,085,012,281,194,760,642,613,098,688,714,356,400,698,719,284,003,
040,239,965,382,487,840,394,110,934,664,963,278,373,424,390,618,303,271,370,
007,810,024,894,998,466,930,966,269,498,758,982,467,929,778,703,229,122,282,
746,709,376,381,285,466,555,802,610,645,241,152,509,970,643,598,337,879,439,
730,095,686,756,535,177,985,511,727,521,226,817,129,928,814,063,076,523,379,
321,125,210,607,894,529,831,728,850,506,143,804,493,238,067,031,348,680,881,
224,254,083,013,300,382,348,518,940,499,049,681,720,651,739,622,529,595,575,
897,539,485,723,493,255,721,554,545,603,394,014,154,491,814,990,815,936,739,
510,937,372,254,141,189,066,559,747,352,280,168,426,137,954,019,262,286,445,
405,868,317,536,679,157,434,797,895,353,532,619,915,709,617,889,539,147,023,
079,394,103,057,511,834,242,290,073,706,097,074,437,642,879,239,584,966,440,
540,791,317,301,799,533,448,718,698,498,557,432,768,264,638,961,726,936,558,
084,925,629,899,989,653,723,883,954,324,439,389,694,606,835,495,271,321,554,
822,550,966,793,579,361,503,679,571,234,886,275,048,753,046,259,185,252,639,
100,784,382,477,437,566,430,933,297,838,484,177,023,535,460,471,379,314,183,
565,701,402,069,375,996,879,099,847,291,596,454,510,747,406,002,537,687,732,
155,425,411,390,460,952,735,016,415,934,186,216,916,246,026,987,207,133,908,
316,246,986,618,400,889,478,892,732,568,559,062,631,307,341,217,573,885,389,
966,461,829,916,017,158,798,740,318,564,658,125,891,544,556,157,388,441,614,
345,914,683,688,341,941,874,050,015,549,371,632,384,622,605,727,987,343,701,
332,077,357,368,242,873,782,250,203,083,817,416,925,544,274,660,322,433,102,
527,930,071,554,684,572,291,691,280,637,194,613,843,076,378,463,629,569,051,
201,182,597,655,363,824,735,419,109,911,491,590,004,568,906,107,461,689,554,
178,146,129,591,720,398,618,547,502,836,042,008,836,091,756,194,372,969,028,
292,574,530,730,589,117,007,353,052,003,209,611,868,866,475,567,664,947,864,
418,467,413,130,488,044,555,993,359,600,294,902,273,515,177,186,259,592,566,
179,861,181,882,086,769,803,152,263,863,129,883,984,918,044,889,250,980,571,
947,510,775,264,629,897,564,744,456,354,688,411,671,155,691,533,977,352,264,
047,208,493,653,038,302,503,263,142,333,938,748,722,758,091,352,114,777,821,
513,389,719,463,979,383,972,910,137,237,238,920,558,201,874,031,746,632,352,
379,770,342,330,233,935,128,057,011,018,600,303,411,687,197,183,756,502,929,
674,206,840,136,955,463,878,862,935,598,917,095,888,316,033,488,504,993,332,
391,677,330,740,867,827,988,574,651,958,388,343,612,404,982,367,596,336,502,
739,386,549,413,099,198,833,067,929,716,816,608,983,688,523,356,329,987,522,
258,780,372,927,528,591,398,262,954,884,188,841,561,785,365,087,646,608,479,
568,986,219,105,396,591,426,909,360,673,256,740,281,674,343,489,149,920,690,
653,304,366,464,990,456,907,982,380,277,177,892,495,526,588,019,467,769,947,
212,191,921,895,173,646,977,153,369,059,931,880,726,816,142,588,073,428,682,
046,385,860,506,900,667,305,866,413,343,396,526,932,279,658,219,196,991,341,
399,738,529,551,479,854,643,949,582,976,471,348,998,450,436,580,917,131,067,
876,221,078,406,545,140,794,518,653,969,027,874,666,778,221,684,296,070,898,
340,802,171,969,588,404,580,897,581,861,796,162,231,564,535,442,867,836,124,
237,982,991,290,886,761,180,461,385,488,396,711,320,205,119,364,778,274,783,
215,563,993,615,371,228,562,283,507,209,658,099,125,856,493,602,125,410,508,
515,451,926,714,047,842,070,823,398,044,895,833,437,238,383,692,882,730,220,
790,325,575,671,311,804,678,852,235,806,137,533,524,264,289,727,406,240,524,
150,940,624,662,250,296,310,714,230,228,885,130,803,589,688,235,708,605,263,
141,309,351,961,224,286,167,827,579,752,983,687,798,352,737,630,314,227,092,
085,264,011,310,785,808,098,005,221,138,880,544,367,190,061,008,953,196,843,
045,745,382,501,456,118,120,275,584,636,587,449,917,964,493,137,482,756,697,
138,007,763,887,619,757,439,551,923,464,618,211,504,986,368,047,743,011,871,
780,744,369,792,357,496,271,961,759,478,532,668,677,648,831,802,139,392,968,
748,207,370,706,268,109,253,398,882,162,051,134,334,855,641,489,233,709,756,
849,776,861,224,936,199,382,221,776,108,633,781,298,641,307,573,188,225,805,
785,968,109,058,931,194,372,163,983,710,072,506,377,737,068,713,006,471,877,
758,230,436,119,012,629,993,919,722,249,858,141,734,676,948,857,757,830,072,
549,497,374,472,310,538,260,325,473,233,165,478,219,323,661,807,545,187,836,
765,537,585,537,401,781,639,603,163,559,411,883,869,786,329,875,654,259,842,
699,726,294,977,352,035,920,759,170,616,562,169,872,741,872,642,443,950,317,
365,452,733,670,356,004,229,237,161,854,079,155,396,151,271,926,124,301,079,
450,229,386,821,348,518,236,988,865,633,364,182,059,401,339,183,847,993,621,
995,863,279,399,268,888,069,939,173,746,353,855,788,891,969,802,695,737,165,
288,158,005,313,379,332,724,510,917,038,493,409,825,997,684,800,623,337,335,
662,409,412,777,636,598,568,888,320,469,019,056,134,206,298,233,561,323,242,
248,121,853,628,473,022,070,094,932,744,525,975,248,308,740,814,081,226,949,
753,142,137,635,510,037,893,633,937,121,577,504,659,816,822,707,733,799,645,
198,466,275,953,883,213,488,002,156,923,940,612,117,697,664,118,341,276,178,
902,596,585,305,238,323,233,722,604,864,318,965,980,260,329,004,719,735,084,
753,583,984,050,751,492,107,898,238,680,767,643,554,198,586,604,577,488,778,
207,337,857,469,890,938,906,632,205,192,175,281,977,228,774,632,626,937,153,
831,318,103,655,623,378,862,333,014,254,043,301,879,935,218,865,426,862,027,
043,299,961,634,812,031,098,968,557,871,118,085,010,668,228,729,056,398,176,
366,659,249,720,724,942,634,919,261,566,477,834,977,558,766,777,198,563,700,
794,740,948,396,215,967,358,274,895,737,833,383,271,046,166,408,602,238,122,
523,387,645,994,025,025,545,191,197,001,824,809,329,499,725,050,998,252,671,
553,400,852,025,607,891,427,522,611,534,391,304,111,362,124,026,261,442,481,
135,909,648,733,005,113,302,739,807,397,740,203,528,107,310,043,543,031,709,
467,238,814,712,097,219,849,756,119,717,029,211,386,731,947,529,027,649,014,
110,000,041,691,217,050,015,340,444,620,197,138,569,660,405,774,590,585,122,
896,445,828,946,706,408,770,044,178,277,702,100,977,718,428,313,638,891,416,
109,860,345,167,225,792,716,547,685,149,798,041,029,430,123,171,043,356,746,
402,242,300,061,082,543,145,974,240,579,759,243,292,807,350,297,184,808,326,
875,577,577,240,987,547,607,110,631,267,596,020,011,608,239,151,539,655,754,
179,282,548,246,010,376,362,406,958,666,176,832,837,071,834,612,364,386,510,
331,173,585,782,358,599,993,106,593,269,672,499,140,555,607,879,178,534,085,
552,134,346,202,917,304,375,238,951,650,299,026,493,703,126,619,036,074,202,
583,484,838,937,464,811,962,441,360,722,126,198,263,659,283,378,123,849,531,
445,010,809,586,645,678,847,061,649,563,588,422,446,436,583,965,525,885,898,
024,690,974,567,409,457,061,441,694,799,221,059,576,399,928,785,737,270,173,
153,309,111,642,139,367,398,448,578,402,858,940,028,107,941,153,702,875,241,
271,232,202,590,308,047,254,130,220,891,786,348,400,603,931,535,303,268,474,
527,907,926,190,304,809,992,295,888,828,080,459,454,050,604,546,749,380,500,
312,415,159,563,793,552,458,155,195,388,004,327,927,667,690,655,181,846,454,
500,307,717,446,637,454,675,459,215,724,947,734,666,157,948,668,891,347,502,
712,036,809,911,239,425,573,592,140,016,712,962,098,588,675,596,606,319,263,
097,449,813,426,119,281,746,897,491,661,011,396,699,755,000,934,535,935,166,
560,148,545,534,906,753,128,643,785,861,772,398,390,980,334,251,308,619,378,
199,901,452,038,676,077,300,832,366,154,800,803,578,989,431,265,824,629,329,
322,545,941,637,815,581,815,855,851,127,928,750,394,585,721,157,114,473,416,
711,782,322,439,437,514,388,394,287,511,100,109,885,947,071,264,350,159,341,
625,029,599,579,457,619,393,089,835,864,692,733,108,865,846,193,154,667,652,
660,042,399,965,693,158,034,576,568,369,868,976,397,035,823,828,722,116,927,
523,691,869,484,087,153,613,408,767,568,411,960,056,783,687,028,401,970,753,
218,003,828,846,880,655,500,028,435,595,981,336,696,071,627,149,911,016,721,
559,520,888,380,021,530,182,424,120,348,918,101,248,047,475,779,228,212,439,
346,192,355,286,784,180,659,627,055,662,990,309,414,433,843,047,558,355,961,
983,083,985,007,099,764,249,119,907,900,781,924,838,753,771,587,569,788,524,
219,651,251,306,387,322,208,107,331,790,122,847,923,442,230,640,012,677,526,
668,255,448,433,583,609,398,327,417,961,437,829,645,371,396,266,993,822,156,
141,428,515,033,628,479,800,724,197,806,925,936,434,785,932,478,531,495,489,
015,170,232,842,623,208,822,919,876,776,388,114,887,348,454,269,335,906,362,
104,683,268,013,895,764,429,105,196,218,031,531,152,568,615,192,578,433,957,
180,831,567,340,989,741,359,114,610,173,346,266,300,571,878,249,898,282,163,
588,106,955,728,592,188,560,754,249,678,431,004,149,404,487,606,789,319,393,
395,471,218,987,257,423,088,030,240,721,275,107,955,734,285,151,098,321,523,
833,087,931,516,887,687,791,957,623,999,272,540,184,194,542,899,334,938,591,
630,050,884,599,479,950,748,196,622,633,037,359,214,247,012,404,842,580,689,
060,068,178,850,451,620,688,356,905,587,837,236,313,998,837,518,798,190,842,
739,678,312,685,585,833,615,024,076,382,085,687,759,735,904,200,655,268,985,
294,018,418,219,511,977,141,385,885,675,798,846,741,232,811,114,695,257,943,
651,190,362,378,329,110,919,941,045,534,058,324,464,283,133,940,398,500,366,
182,251,568,644,910,363,623,966,845,636,118,186,216,461,305,282,391,178,884,
157,788,359,250,693,542,455,683,020,732,317,435,534,995,063,005,748,040,092,
802,001,168,518,044,639,923,274,367,766,985,810,628,747,708,779,815,641,364,
581,222,875,286,049,096,289,528,937,810,634,965,573,474,713,971,220,665,910,
510,210,040,174,232,853,526,690,563,676,400,168,297,491,401,508,473,247,924,
848,838,239,961,107,767,950,818,231,469,760,699,963,077,152,559,790,936,539,
674,178,832,300,096,519,985,535,245,229,490,754,492,608,854,824,495,468,717,
602,060,592,649,303,325,617,044,129,184,906,547,507,157,110,935,677,260,329,
585,021,292,721,982,631,738,325,355,369,685,388,218,641,697,984,031,040,636,
006,945,346,362,405,047,090,303,072,598,057,609,913,905,937,430,545,343,678,
123,245,708,345,230,981,906,074,824,877,301,085,973,998,396,807,865,897,630,
639,743,992,942,146,179,768,012,561,387,165,073,870,272,634,593,843,339,873,
035,002,164,930,005,576,522,242,259,818,088,004,249,080,431,511,550,112,620,
513,971,889,281,273,795,875,172,298,370,445,207,102,768,317,740,661,845,642,
870,119,779,745,569,879,565,012,364,334,339,887,830,062,686,544,728,065,504,
625,528,927,212,182,166,958,490,127,299,048,797,703,206,678,775,228,871,193,
243,866,972,838,367,357,730,957,461,257,551,059,286,912,818,470,393,619,191,
036,738,919,706,052,801,783,283,499,997,670,800,074,918,754,493,424,846,282,
982,724,505,331,022,582,314,582,790,888,557,232,849,749,486,699,137,516,906,
775,449,356,461,112,900,464,580,065,323,211,054,414,615,774,020,040,115,248,
693,343,357,446,694,740,514,250,300,455,308,802,679,893,077,961,261,981,019,
176,411,348,925,922,721,146,678,939,358,908,156,427,984,338,754,716,116,245,
590,699,528,728,273,728,046,650,247,640,826,651,454,232,464,933,667,212,356,
291,806,343,161,442,201,546,552,210,945,841,575,544,673,836,004,469,725,920,
432,329,533,568,463,957,148,556,522,870,885,657,529,394,046,813,147,385,341,
546,583,859,350,219,914,454,740,478,683,417,999,241,623,102,169,758,078,666,
948,590,394,802,161,998,999,760,567,898,800,854,352,714,177,988,315,028,892,
669,626,014,733,908,661,604,024,875,813,467,536,519,674,925,651,638,048,395,
279,938,492,828,742,749,178,442,584,932,948,594,807,298,975,735,963,272,563,
518,624,165,724,508,926,435,801,983,452,093,263,755,474,409,538,391,842,069,
890,685,075,649,282,464,936,246,988,144,570,389,790,080,659,688,377,173,241,
407,984,173,999,724,738,779,954,516,074,303,476,288,909,072,253,758,889,340,
598,166,304,385,416,403,264,845,375,026,319,012,772,313,622,091,539,825,044,
077,707,953,443,504,157,073,498,363,503,635,670,764,553,556,253,752,504,902,
266,016,390,235,707,855,486,313,170,930,613,334,693,455,051,953,513,658,103,
543,955,094,772,681,166,481,045,717,555,108,995,856,081,517,438,089,770,291,
677,736,746,884,115,887,301,615,770,921,751,526,077,909,709,416,341,220,574,
538,888,274,141,263,030,587,018,122,499,147,352,077,726,663,563,326,022,422,
692,211,246,426,337,384,284,416,815,261,669,117,890,350,623,460,549,343,910,
227,800,060,688,888,643,402,837,858,913,290,947,071,969,931,380,506,995,081,
332,667,132,242,715,390,065,473,880,841,654,118,648,564,858,271,602,150,204,
519,979,226,382,314,980,889,051,352,590,128,492,685,560,121,920,625,637,754,
159,600,427,724,075,823,877,838,364,428,444,785,894,316,350,035,744,778,590,
814,248,350,573,586,772,068,301,717,827,045,710,997,427,575,680,061,194,505,
241,701,420,548,877,369,259,663,848,434,695,985,586,953,920,646,714,497,795,
876,966,792,306,457,263,323,904,528,633,693,041,156,548,071,402,143,317,390,
644,690,197,935,112,458,273,428,852,647,253,820,728,925,671,606,623,858,042,
163,304,186,033,051,811,569,202,504,413,398,446,346,690,934,600,039,660,150,
513,148,375,396,594,720,566,218,650,580,275,775,373,180,743,472,911,808,083,
914,875,702,186,597,542,825,366,745,414,309,967,434,550,583,578,864,758,502,
139,338,276,134,658,248,921,260,938,313,503,169,890,559,496,454,530,782,129,
806,168,636,068,799,122,621,509,302,065,875,977,604,114,228,943,408,468,706,
049,497,512,841,249,313,048,024,714,263,554,920,108,341,858,090,518,461,420,
802,928,466,393,890,783,362,642,448,088,923,192,993,413,886,250,427,416,935,
280,543,844,314,743,008,445,239,712,534,193,494,204,877,379,924,885,820,540,
220,308,398,510,357,098,575,757,319,326,589,489,682,443,719,960,148,578,086,
010,095,201,000,828,693,419,520,556,194,835,266,362,965,685,529,052,589,160,
966,113,454,030,676,155,411,068,246,617,416,104,386,654,749,853,193,189,211,
641,516,663,214,514,518,684,128,499,882,907,912,450,352,069,061,218,529,732,
678,922,749,996,845,744,037,326,633,226,807,744,392,462,053,043,530,801,983,
278,759,177,365,180,137,886,989,165,029,851,069,916,910,350,094,100,178,620,
760,456,451,536,484,012,801,875,461,239,317,381,694,736,996,172,503,914,936,
791,158,028,552,149,729,484,671,154,444,705,852,172,449,463,152,242,451,116,
412,461,565,208,464,189,086,861,674,015,404,907,992,455,950,799,613,872,500,
421,725,829,238,051,153,633,255,458,262,779,363,316,654,708,589,513,132,162,
371,402,974,845,879,018,059,391,823,267,695,005,934,221,470,637,290,402,338,
739,238,212,934,939,468,121,829,936,967,123,547,888,091,515,098,928,780,217,
313,953,651,961,394,398,565,406,842,979,587,247,475,937,239,014,881,945,258,
750,288,686,610,954,843,764,019,540,935,247,085,669,639,829,170,330,314,494,
238,670,597,909,282,008,265,446,569,386,394,897,961,054,552,918,216,408,587,
763,418,154,929,407,317,009,416,361,576,880,137,095,466,463,329,303,090,585,
877,752,496,940,891,356,908,734,173,899,149,022,802,957,357,610,712,915,206,
844,148,937,300,369,817,523,567,555,810,834,083,882,122,200,577,656,606,551,
237,127,697,902,327,064,706,187,531,746,276,075,310,588,789,674,800,808,262,
635,990,914,770,652,021,403,474,286,903,531,523,247,590,584,065,911,417,633,
656,581,758,159,405,844,851,907,299,227,430,364,516,859,475,658,112,101,657,
952,736,905,034,887,486,947,448,961,500,777,391,578,793,010,533,879,019,475,
987,033,152,861,350,085,052,797,761,550,478,462,578,207,218,839,914,064,104,
024,831,040,225,360,054,374,416,602,253,362,677,930,157,228,534,935,887,032,
920,829,110,595,612,627,591,113,524,573,414,372,215,124,057,772,212,489,851,
867,450,686,936,255,987,102,830,934,765,457,876,308,009,063,813,578,466,817,
076,992,261,278,669,573,529,738,140,560,972,270,628,041,768,424,865,497,137,
653,167,006,260,749,260,781,773,789,856,927,553,176,674,500,133,771,240,262,
029,533,563,523,508,057,320,256,721,290,562,152,656,718,258,457,168,205,990,
200,654,959,573,014,860,653,569,287,009,260,775,303,401,978,613,902,704,496,
695,684,736,481,142,511,172,789,864,506,328,960,963,238,776,582,606,301,437,
381,547,680,290,276,476,105,856,217,089,937,882,107,640,786,621,507,245,495,
660,601,222,529,924,221,508,577,436,504,138,545,378,284,173,930,177,788,320,
725,312,334,206,620,552,426,980,863,568,245,681,919,550,219,897,083,127,570,
144,563,251,564,699,796,490,647,197,274,940,149,770,513,098,853,123,120,218,
902,954,863,270,737,320,926,297,733,415,383,593,322,537,041,869,900,927,962,
088,915,347,523,840,149,842,133,481,437,845,918,860,839,257,730,694,089,858,
197,494,385,486,896,129,836,784,605,185,797,086,467,187,667,641,169,658,360,
863,359,558,568,508,412,729,460,177,345,677,891,397,688,742,511,356,840,094,
001,768,673,299,311,822,259,055,793,190,347,690,120,056,779,321,351,988,008,
068,706,336,449,927,946,226,127,979,525,625,264,530,020,147,104,685,095,552,
378,711,924,859,251,069,447,480,243,375,968,782,328,689,606,815,606,336,879,
094,452,960,297,889,627,935,903,520,742,570,744,045,939,361,922,124,129,954,
108,674,934,385,444,450,447,897,570,337,409,382,042,727,546,775,413,610,274,
235,976,603,923,855,954,555,279,657,057,840,079,183,218,148,238,287,892,021,
442,320,783,540,278,176,338,600,721,415,325,709,618,409,361,398,229,306,079,
473,678,646,019,505,654,613,872,002,432,229,551,309,234,469,640,751,598,940,
319,624,529,936,877,972,765,554,129,044,341,404,989,451,698,410,262,270,751,
271,361,879,768,850,612,891,475,922,920,063,407,462,539,225,862,287,033,000,
859,982,627,849,933,835,631,665,195,705,070,155,080,764,575,074,800,993,439,
431,981,890,153,256,021,819,441,841,232,646,696,862,988,275,806,708,381,390,
791,225,626,315,809,371,935,779,378,043,377,142,811,350,713,024,478,429,600,
848,395,626,371,266,634,661,369,168,833,777,115,891,960,365,794,147,736,695,
192,941,970,402,685,157,937,742,219,071,003,297,041,682,103,644,593,881,813,
209,789,608,211,304,105,141,164,264,546,034,271,759,386,699,042,615,101,877,
904,997,583,467,326,417,049,769,329,260,291,220,259,084,915,983,387,328,330,
870,457,558,958,335,520,588,829,310,475,323,173,436,556,466,844,007,145,816,
824,614,595,907,042,693,096,610,577,861,461,015,968,547,969,442,012,230,285,
536,746,982,011,310,674,726,681,813,729,910,682,300,870,274,212,687,669,773,
961,569,158,060,672,173,148,929,339,913,966,789,708,223,307,514,263,004,811,
907,108,711,469,938,683,858,476,896,240,948,396,787,194,587,463,499,401,214,
794,909,277,359,111,613,550,172,022,651,195,240,572,123,923,908,453,583,518,
709,976,188,964,627,728,226,771,227,831,131,013,599,350,114,015,851,947,821,
459,445,118,099,229,678,359,578,592,380,292,755,557,355,180,269,760,001,237,
936,417,306,440,612,894,459,301,242,839,187,070,438,595,789,904,636,033,008,
772,041,050,488,962,232,859,607,916,717,078,360,871,932,693,528,087,753,146,
067,100,090,450,227,932,537,101,797,601,853,059,192,614,712,105,684,116,323,
262,498,178,980,827,860,031,297,577,131,784,517,114,271,545,716,043,383,099,
610,509,908,966,978,379,496,129,545,812,988,212,451,265,420,247,236,243,227,
533,154,038,791,339,020,575,364,731,896,284,648,432,689,395,776,997,587,208,
533,564,933,222,395,009,871,646,454,504,143,308,884,048,737,742,089,629,650,
910,550,716,617,442,153,312,469,692,892,136,207,075,867,033,963,755,904,011,
831,300,581,346,907,137,132,078,657,513,010,351,504,519,768,212,076,477,848,
647,487,589,233,135,299,293,211,713,219,775,297,143,676,773,158,534,155,298,
154,867,717,719,308,919,784,780,321,740,490,920,202,031,670,822,213,975,974,
467,770,331,192,079,330,034,893,539,478,193,669,210,890,408,094,090,546,959,
017,724,128,515,394,048,815,769,021,761,372,911,013,485,478,227,243,251,691,
315,678,354,233,415,131,704,726,952,064,362,890,365,865,811,124,612,835,985,
022,265,374,671,871,034,020,493,700,593,980,809,460,756,312,918,237,805,035,
646,042,164,973,095,592,439,876,578,485,087,639,977,545,828,943,926,622,104,
045,422,136,963,477,495,080,804,752,375,644,648,165,608,275,373,148,853,213,
575,503,613,187,571,939,749,585,898,501,330,364,699,170,714,971,829,008,574,
595,022,325,501,286,089,011,197,561,262,616,465,732,078,476,439,887,414,888,
040,179,018,135,918,889,637,108,015,240,732,257,372,380,815,015,485,098,661,
369,405,517,248,694,173,653,455,100,486,998,235,566,310,267,758,563,365,679,
432,902,878,022,418,984,500,951,019,456,434,650,261,525,415,440,942,936,060,
573,624,517,153,836,359,506,145,792,849,237,754,216,104,167,555,520,233,195,
562,222,513,878,258,037,711,345,875,041,984,965,245,203,629,986,337,517,672,
932,911,071,950,161,988,436,556,218,858,576,091,051,459,328,513,018,104,304,
685,794,573,908,546,163,969,282,330,634,434,773,432,171,764,447,990,613,863,
642,182,899,113,895,143,604,633,233,406,384,035,290,841,933,676,789,060,538,
087,018,965,645,706,774,713,545,460,372,745,130,860,663,771,222,365,709,450,
745,577,658,910,991,235,965,407,234,147,491,346,014,101,458,594,622,478,042,
545,806,802,877,150,940,118,344,561,839,334,058,583,577,403,170,654,297,027,
355,732,860,840,310,501,933,380,993,692,994,356,458,174,789,868,406,821,287,
191,772,938,058,835,705,529,604,991,008,074,038,575,942,889,884,446,291,002,
283,996,674,274,417,631,337,667,790,480,039,406,751,388,107,642,791,075,834,
898,148,717,973,710,377,657,369,866,055,761,012,843,021,774,330,807,865,454,
383,476,439,543,538,043,149,731,862,600,593,093,576,133,081,695,143,601,760,
484,302,646,432,480,625,867,276,617,810,933,812,623,519,234,101,897,127,179,
685,415,293,313,759,369,724,540,195,517,610,184,958,594,936,368,238,604,656,
757,357,736,712,477,761,855,330,698,058,369,224,560,311,439,110,883,886,973,
531,554,562,187,236,424,172,970,326,722,071,544,918,273,828,536,232,200,491,
552,673,583,368,186,686,058,280,743,828,667,880,201,208,006,314,658,312,888,
270,127,029,842,268,045,849,365,967,883,011,927,170,340,869,975,047,671,716,
175,906,280,801,899,569,560,438,467,281,611,969,181,337,627,229,403,827,398,
405,889,377,739,877,338,168,564,732,611,583,140,184,386,875,101,354,847,323,
871,339,814,938,327,935,508,639,922,787,691,275,145,752,179,494,339,974,380,
455,464,752,112,176,907,489,422,329,579,455,697,341,111,277,336,245,055,078,
147,730,319,765,943,019,899,284,978,425,466,947,534,419,258,234,880,656,164,
245,324,604,268,256,812,340,050,865,849,319,594,175,853,495,668,158,409,852,
420,931,912,372,592,073,245,276,927,806,729,878,666,906,049,553,579,638,612,
648,131,584,139,328,137,042,814,342,413,521,606,861,036,748,830,693,185,494,
938,976,394,336,922,475,470,474,660,102,982,439,188,942,594,703,783,477,813,
025,900,771,833,735,769,503,851,373,109,734,748,871,918,165,769,171,935,046,
520,234,367,316,910,830,763,664,598,308,110,512,059,151,393,649,737,227,692,
412,943,158,238,996,814,823,662,819,639,991,974,084,686,923,571,006,887,601,
973,880,162,053,464,524,876,925,240,712,127,746,483,462,223,878,782,577,126,
177,688,179,475,120,633,083,362,628,940,730,993,403,956,088,615,706,798,015,
679,878,693,876,726,247,551,070,995,973,105,859,101,243,424,298,194,325,106,
822,117,958,036,616,033,755,527,555,824,449,179,359,051,597,837,745,837,606,
765,165,229,170,705,875,507,775,777,928,192,395,070,679,320,514,293,690,803,
650,759,623,808,588,324,795,196,430,320,582,595,932,914,629,476,497,276,011,
411,424,301,382,618,780,026,899,213,951,456,900,318,329,211,808,229,545,787,
622,653,122,568,965,589,459,812,535,409,799,419,981,892,080,117,655,063,149,
194,223,079,295,068,971,164,922,384,082,982,318,480,577,605,484,780,238,245,
734,306,485,027,183,457,109,787,302,553,940,367,119,811,738,278,250,749,338,
332,918,342,685,891,061,661,377,633,824,659,837,357,653,269,804,614,724,071,
543,487,091,087,912,125,920,373,462,531,997,735,242,411,013,941,332,072,757,
787,657,853,640,025,159,941,384,183,881,577,910,034,427,624,921,953,130,353,
886,556,619,100,071,563,001,795,934,731,824,012,074,877,101,315,081,031,234,
870,757,469,586,651,977,682,581,563,320,603,810,366,688,544,375,977,736,988,
491,286,741,695,976,287,655,381,678,841,151,705,544,839,539,065,906,900,239,
571,796,561,300,536,660,311,016,833,363,527,059,630,864,844,254,429,346,645,
945,222,833,954,219,857,402,314,224,319,099,548,631,099,440,462,539,219,319,
393,464,391,913,856,346,970,812,128,820,010,430,771,473,192,415,713,927,833,
419,708,902,352,388,390,498,144,356,902,528,254,078,721,280,272,144,279,267,
355,678,160,833,255,719,767,407,674,051,235,290,514,837,855,912,979,595,669,
281,841,566,634,198,213,253,180,742,649,718,533,120,855,657,477,497,663,290,
266,675,301,387,046,942,739,858,060,579,183,289,783,809,315,125,353,077,101,
530,710,201,571,202,634,024,050,786,713,982,072,279,001,700,781,544,377,492,
012,316,096,102,058,223,112,632,698,054,244,692,765,545,116,650,884,736,202,
640,907,792,640,930,703,789,918,408,990,103,217,637,419,213,337,071,089,850,
905,735,928,442,781,929,288,013,221,177,447,684,146,772,977,920,768,657,741,
375,256,849,834,988,821,708,176,799,152,677,597,654,349,226,163,354,460,181,
365,995,638,288,785,159,982,430,421,203,128,372,912,401,335,368,846,342,086,
287,732,806,580,213,389,877,900,281,164,247,165,137,451,233,820,441,698,096,
821,452,580,325,695,095,398,354,376,559,413,829,856,202,769,135,479,138,545,
603,579,731,699,978,998,057,042,304,701,225,224,747,426,223,360,026,259,743,
093,257,065,505,457,274,231,257,165,647,466,184,915,780,552,126,771,454,340,
112,869,106,750,069,473,188,390,640,822,989,748,351,265,701,292,678,388,506,
138,922,655,856,710,938,843,345,718,707,776,983,806,880,623,526,859,601,555,
539,689,950,068,013,773,244,007,085,500,542,198,509,103,600,878,516,480,493,
883,972,575,566,830,642,724,864,874,647,604,668,203,752,129,650,389,569,942,
261,325,607,217,279,281,430,695,719,479,936,230,411,707,635,115,429,201,306,
288,060,044,936,040,257,473,978,993,865,153,723,023,836,697,602,660,585,751,
284,200,635,571,626,613,550,921,268,516,024,412,692,185,437,493,541,941,037,
870,298,220,887,317,812,914,321,356,664,759,788,777,920,973,721,174,232,308,
943,378,246,044,568,986,654,222,316,953,430,648,121,757,523,931,603,225,533,
405,924,194,197,331,888,457,050,535,092,348,156,875,466,537,255,689,535,434,
791,952,626,789,973,670,358,566,905,359,418,470,042,093,448,059,456,562,336,
553,417,800,908,205,731,238,272,408,981,158,094,379,010,692,868,980,258,143,
704,598,452,152,307,079,859,706,404,555,076,253,974,781,226,805,507,276,622,
969,288,823,882,655,176,513,102,360,143,614,717,783,694,183,270,867,886,980,
397,612,909,115,212,685,112,173,777,592,686,878,217,938,722,535,949,755,041,
548,207,513,170,254,543,255,089,078,762,776,875,313,421,161,147,785,594,029,
274,339,229,864,232,529,011,899,160,005,757,220,738,148,421,857,855,254,405,
056,246,371,688,996,194,183,235,972,553,263,232,948,139,216,887,026,949,762,
263,223,690,076,957,157,767,521,247,142,841,496,503,724,800,240,676,248,089,
979,466,139,986,461,304,972,145,690,279,772,752,534,908,823,643,234,947,896,
533,855,087,527,894,994,049,649,755,127,281,806,277,814,636,939,995,990,593,
461,334,734,410,001,041,963,420,850,567,907,098,087,691,972,960,476,667,181,
712,537,399,858,737,064,518,119,872,251,577,634,012,151,363,124,391,193,252,
978,747,736,066,117,464,283,910,534,868,873,303,982,334,345,640,870,846,387,
733,581,978,244,246,397,434,753,593,990,930,904,835,109,723,115,580,300,474,
312,326,714,957,654,106,105,912,193,538,650,259,152,628,951,461,742,902,233,
523,084,890,247,690,946,944,266,403,989,428,322,326,516,926,164,538,809,816,
341,309,093,434,255,221,476,957,101,525,131,377,089,954,669,347,940,718,096,
974,553,191,736,651,658,389,838,826,680,706,078,420,510,963,288,138,195,162,
542,151,472,723,294,747,797,556,685,367,493,989,635,004,995,372,359,162,500,
504,311,562,719,795,072,116,589,787,990,247,440,152,408,306,148,327,762,080,
341,467,257,566,027,687,272,947,158,831,467,424,263,879,411,555,240,346,530,
074,150,560,193,154,790,186,630,938,599,031,362,348,201,984,020,297,900,754,
907,297,549,986,546,819,133,602,765,266,640,643,036,627,699,198,065,797,316,
147,948,532,204,774,498,526,738,960,346,499,266,411,721,744,861,249,403,669,
197,242,487,819,895,694,341,779,560,635,980,658,222,146,550,357,796,382,956,
435,343,125,511,594,551,433,048,358,732,539,477,816,854,063,315,394,637,251,
524,813,020,018,553,764,750,336,845,494,160,499,975,837,911,567,199,135,934,
985,596,992,695,361,967,345,244,999,127,606,454,776,493,492,887,558,716,269,
956,166,802,060,278,382,225,727,335,336,199,354,182,865,036,852,136,182,641,
503,991,537,479,968,691,009,512,018,245,145,633,985,210,559,613,516,210,942,
053,150,951,449,465,184,051,981,061,750,900,971,101,226,505,252,613,889,364,
016,576,016,449,423,018,038,694,023,815,852,134,679,784,774,127,881,646,556,
085,355,930,440,320,614,121,077,589,704,468,924,124,500,421,601,097,469,096,
733,686,532,849,162,568,302,996,864,918,324,063,757,035,950,265,025,810,758,
682,436,028,337,011,478,773,465,630,827,032,564,231,880,029,166,892,997,393,
242,910,684,922,329,352,482,005,582,113,190,368,119,447,842,103,027,106,146,
228,383,720,431,606,137,191,953,194,549,986,189,498,979,636,269,682,984,032,
749,729,379,863,036,632,740,420,986,063,525,583,482,790,287,837,424,653,155,
887,844,728,475,264,403,606,497,638,361,749,088,214,663,724,257,717,664,970,
789,305,722,242,363,231,994,850,904,765,003,708,467,682,114,318,924,213,304,
392,202,533,965,094,678,064,546,280,610,897,499,434,824,821,208,298,151,370,
781,145,621,914,501,908,729,324,616,237,459,379,565,225,903,357,082,795,608,
626,768,818,575,781,897,860,015,451,256,955,502,287,863,448,016,927,377,275,
305,029,343,450,431,366,801,745,325,363,855,961,828,783,866,452,136,755,403,
679,867,686,520,140,915,414,231,111,366,217,940,066,478,170,869,041,868,175,
555,059,255,619,773,872,701,926,433,491,191,444,708,579,513,340,879,921,806,
527,443,260,316,677,056,846,494,145,442,700,341,603,760,498,142,241,802,290,
536,011,760,468,030,833,426,101,757,311,175,950,167,350,387,851,656,081,200,
883,772,372,845,591,175,311,329,417,255,354,968,157,456,870,733,146,203,171,
953,653,557,520,504,342,393,150,407,243,773,795,362,956,517,219,392,152,406,
471,489,864,926,260,810,751,571,264,760,180,932,371,011,535,780,466,269,496,
390,558,915,704,107,562,230,648,411,026,012,873,412,362,956,885,932,587,743,
574,356,911,847,170,246,321,516,027,679,045,643,728,132,529,317,900,121,230,
184,538,069,052,374,717,185,933,590,224,186,292,525,443,143,552,492,688,236,
851,630,671,410,632,837,863,136,181,095,889,098,354,959,966,106,207,749,512,
284,560,304,531,308,905,531,776,241,603,462,770,965,037,959,836,593,019,866,
040,029,325,361,879,201,877,184,608,653,436,052,556,776,198,418,631,294,559,
847,902,401,938,842,667,153,272,175,272,376,269,907,972,476,973,743,555,807,
293,920,768,452,254,145,398,378,663,158,713,306,245,749,526,685,909,301,314,
993,487,973,655,126,427,724,108,639,926,285,962,700,687,063,366,910,434,350,
063,205,900,877,632,928,913,938,588,436,690,289,802,597,985,667,664,151,044,
368,944,186,284,467,672,119,766,941,667,846,437,463,770,467,202,478,093,466,
335,086,344,383,426,073,009,533,528,297,868,072,070,988,489,511,792,678,990,
359,859,049,037,645,150,911,703,637,030,399,676,179,844,439,713,387,911,942,
361,947,148,021,657,432,262,363,934,691,728,744,227,201,770,219,541,236,381,
962,055,199,770,980,816,033,710,302,801,278,557,067,366,113,402,579,748,162,
495,544,634,940,561,713,658,111,846,361,349,070,825,499,176,170,836,424,449,
896,713,490,107,816,024,650,020,600,824,747,566,312,057,720,531,275,202,726,
270,717,508,125,123,329,604,019,793,817,701,558,798,527,894,909,267,760,180,
704,375,276,346,087,287,677,895,382,797,192,271,870,139,096,903,267,132,231,
957,919,134,863,031,277,020,373,887,640,330,043,199,754,977,889,618,061,705,
709,869,558,004,598,510,617,877,452,510,557,764,362,600,408,228,382,440,315,
377,616,215,173,143,695,573,476,131,105,254,269,547,163,839,122,604,825,058,
460,605,769,623,380,627,361,106,138,489,719,737,744,704,285,650,012,586,935,
808,517,257,775,346,149,307,214,609,883,806,375,622,123,335,692,519,968,717,
424,180,754,961,502,508,543,412,890,532,643,738,687,314,393,922,458,609,996,
431,013,173,489,424,057,360,867,374,069,118,443,626,473,138,660,054,420,192,
258,790,275,786,574,775,787,028,256,275,925,863,484,440,819,046,678,959,642,
766,812,225,136,079,834,295,907,164,361,301,449,082,525,149,456,035,318,286,
187,464,617,064,929,455,176,437,300,358,041,361,899,913,238,239,184,469,056,
891,484,278,403,300,921,438,212,351,757,917,571,201,257,820,761,144,979,639,
935,246,051,106,805,046,879,240,073,557,026,557,778,276,813,696,183,895,801,
374,149,629,973,004,630,271,780,044,991,510,250,572,033,464,173,412,028,608,
282,999,776,276,988,877,003,359,635,241,286,600,548,347,260,327,412,571,305,
494,109,962,753,312,481,793,718,978,073,528,546,854,841,368,462,144,758,538,
142,464,654,955,608,826,002,879,820,573,652,110,574,269,143,518,640,320,422,
240,552,655,196,282,012,264,629,070,606,093,313,349,279,784,644,607,935,106,
235,006,855,922,847,537,518,037,211,183,561,192,618,325,045,914,691,734,045,
030,514,274,277,502,971,845,012,976,524,811,015,062,394,015,218,222,987,751,
715,043,815,465,937,066,254,930,368,830,439,799,868,662,594,780,691,444,888,
012,499,670,497,468,181,260,520,750,642,406,641,897,232,409,056,550,973,826,
250,695,054,060,534,332,441,427,748,878,163,295,247,802,088,013,645,672,591,
222,439,933,198,232,271,869,459,366,106,857,897,914,055,780,104,754,072,686,
610,308,896,217,355,322,946,177,283,238,346,789,059,885,705,093,753,680,017,
001,988,381,153,668,442,411,978,936,733,432,254,922,710,014,119,798,129,423,
969,113,387,607,488,819,241,556,470,449,236,439,501,460,905,793,447,935,161,
993,234,790,229,276,770,859,080,115,160,987,545,687,183,701,789,151,454,047,
368,503,729,746,907,222,423,485,140,533,759,941,166,188,362,063,769,721,370,
880,835,739,591,179,986,531,618,816,938,212,113,017,780,676,040,992,162,079,
339,066,864,320,118,116,373,831,239,281,420,832,433,004,312,546,217,144,563,
452,705,189,660,054,954,163,226,796,172,313,479,478,983,438,356,549,362,467,
267,092,085,354,941,552,907,216,933,151,396,239,764,907,494,784,606,369,586,
107,386,262,783,088,723,026,169,772,035,450,896,323,559,621,507,931,607,553,
660,083,178,326,323,838,382,362,304,208,857,638,859,734,610,721,894,500,315,
468,581,800,219,747,901,789,081,462,646,810,058,286,003,923,365,986,114,755,
027,825,712,762,359,541,586,370,895,696,550,397,257,013,746,239,655,201,403,
698,222,368,364,018,312,838,107,212,602,569,913,509,960,126,041,891,629,101,
796,799,671,817,193,322,078,085,755,791,965,492,683,535,912,740,558,336,104,
244,316,427,267,527,731,081,690,749,564,660,731,815,287,100,242,917,806,505,
821,578,674,584,930,355,098,300,259,909,701,435,059,040,432,648,921,191,972,
880,182,810,025,663,008,259,589,614,193,215,452,211,383,631,725,008,741,791,
796,562,469,062,914,448,052,532,634,534,659,290,121,087,675,362,203,987,773,
432,202,415,843,411,152,256,245,107,739,848,767,391,381,034,896,192,413,260,
944,836,702,489,771,590,310,869,658,019,784,453,486,694,143,646,844,847,959,
729,947,904,903,854,391,923,179,470,626,040,428,236,596,406,974,625,154,821,
954,725,199,215,541,678,791,527,142,569,726,045,013,635,253,627,798,462,680,
367,451,252,543,551,321,048,750,219,193,300,759,597,177,010,372,277,102,354,
540,161,944,649,815,012,934,997,621,648,789,252,461,338,890,901,316,380,426,
637,924,831,016,613,794,928,704,352,588,760,883,581,212,890,022,365,341,677,
529,218,589,715,781,627,988,395,683,719,238,572,488,847,784,571,037,742,798,
875,660,123,289,386,624,236,781,734,319,148,522,520,088,557,417,818,156,932,
899,055,077,687,934,454,976,545,898,229,518,554,222,080,110,830,172,594,754,
036,224,047,933,514,391,011,099,762,618,190,741,348,695,939,617,329,015,190,
353,101,339,585,990,961,367,960,696,153,234,420,130,846,883,521,180,011,676,
401,529,896,042,077,199,918,400,695,136,763,835,315,845,824,929,719,002,539,
422,970,930,921,620,713,433,004,841,554,235,224,602,590,007,169,736,462,099,
733,814,760,658,951,598,880,733,603,422,360,119,280,233,030,468,244,262,423,
995,285,386,348,938,059,834,384,865,763,882,564,000,023,697,373,523,173,536,
552,109,025,728,039,049,791,105,216,927,344,995,203,007,366,912,696,356,647,
519,776,808,005,680,810,351,849,856,077,726,777,054,391,152,839,884,486,228,
383,208,069,001,353,031,414,855,229,591,027,389,076,319,636,725,276,989,938,
659,608,411,317,349,577,202,404,698,574,053,604,537,190,954,787,144,503,532,
655,638,123,523,043,665,208,905,256,555,321,934,052,706,598,599,068,189,762,
098,279,168,025,563,030,103,690,591,002,945,157,354,543,756,249,009,542,657,
364,958,370,652,141,274,369,243,272,151,990,293,555,955,893,082,739,065,096,
841,350,071,214,004,148,520,036,064,359,279,481,212,311,481,901,591,159,300,
317,184,513,340,610,819,944,415,813,635,028,896,910,526,498,977,247,305,978,
477,699,593,101,273,161,399,185,857,826,093,938,925,556,021,832,724,079,587,
194,637,275,816,143,667,390,893,743,924,066,126,013,571,510,600,727,630,426,
376,781,957,194,519,776,161,851,224,816,979,946,725,706,245,316,915,686,161,
840,136,704,532,527,515,158,336,903,527,217,050,374,969,114,745,419,023,607,
033,687,759,533,236,001,416,871,435,447,831,841,034,473,414,404,472,875,303,
292,130,837,497,033,239,484,662,293,795,942,382,204,332,754,145,039,590,371,
030,557,231,713,880,035,366,232,866,243,207,252,808,732,510,668,365,417,518,
512,856,415,410,625,479,797,507,052,974,581,254,245,698,135,975,610,722,279,
044,054,009,243,176,168,163,805,578,947,649,140,523,830,321,045,587,474,496,
252,531,180,376,804,459,059,568,936,923,375,416,150,621,434,495,299,806,298,
971,990,533,153,374,937,065,484,237,882,783,428,268,767,023,278,706,466,077,
068,151,902,297,414,526,702,816,902,525,961,784,913,145,336,112,772,924,901,
611,782,387,842,440,252,055,348,447,948,398,237,464,543,617,412,002,383,980,
246,471,561,531,394,246,571,664,364,794,996,140,564,707,793,692,543,975,066,
487,991,555,605,831,736,864,603,215,048,744,794,847,134,706,474,531,694,867,
396,326,075,684,287,796,615,976,414,584,525,325,290,371,018,215,040,348,208,
315,505,610,843,502,450,275,128,165,150,107,713,686,815,394,983,215,925,749,
210,666,850,270,176,055,892,101,163,860,978,461,583,055,582,946,556,607,494,
214,888,518,242,229,428,243,171,805,328,977,300,722,042,202,058,632,404,008,
677,825,753,646,587,667,532,624,451,802,692,316,541,675,497,236,081,215,812,
877,883,859,136,683,540,077,783,040,934,624,006,506,771,902,287,015,075,866,
923,539,338,970,207,328,846,876,225,660,325,546,564,267,865,791,902,639,970,
738,376,689,233,107,835,521,757,679,013,862,833,786,911,926,272,284,570,483,
533,542,574,378,439,497,563,339,982,055,194,870,738,237,242,149,186,816,692,
649,876,286,006,886,923,268,513,102,956,616,517,701,031,020,891,964,942,622,
772,016,686,352,631,115,158,466,213,737,568,487,274,397,037,719,712,982,630,
010,273,464,653,812,089,694,908,538,649,878,801,953,829,351,870,246,268,936,
715,376,362,606,878,473,602,841,549,754,494,734,364,831,679,288,666,279,641,
264,064,522,582,645,828,908,649,084,693,701,061,237,627,041,800,789,904,689,
571,087,478,753,302,523,815,721,998,993,234,011,624,227,524,620,188,568,659,
085,189,564,780,046,306,546,325,020,121,502,280,800,382,943,132,164,335,525,
354,595,792,063,270,638,655,023,955,335,567,488,314,420,946,218,264,148,282,
057,965,349,344,458,498,526,842,599,982,669,143,728,161,477,826,170,297,474,
137,876,484,323,824,405,734,278,138,548,410,041,464,608,701,163,945,126,468,
268,590,951,415,258,927,422,783,701,324,156,786,840,503,915,664,362,134,121,
969,354,161,928,323,491,975,381,175,592,016,310,004,915,107,295,492,215,636,
876,452,975,622,844,673,698,584,612,663,319,284,169,163,364,044,043,366,099,
555,939,726,777,178,742,731,183,618,155,010,825,758,973,699,124,083,754,038,
881,179,753,864,987,549,240,151,615,748,667,415,426,281,896,275,317,677,082,
219,410,826,179,837,806,757,709,380,190,611,110,423,070,207,388,834,793,189,
301,275,343,402,659,722,947,476,331,914,502,531,160,154,177,791,927,711,618,
797,904,479,650,880,451,667,944,577,180,772,839,774,737,871,768,482,686,968,
059,863,794,682,547,383,212,457,927,169,859,006,471,697,816,644,464,208,496,
724,945,828,566,847,629,500,727,882,204,395,299,124,207,588,581,146,558,547,
249,628,955,576,663,710,522,310,631,407,868,746,184,261,181,334,059,841,981,
147,450,462,685,934,533,111,632,107,821,077,973,526,072,492,745,923,554,978,
128,921,299,364,892,771,899,902,064,547,285,616,262,027,077,104,233,437,643,
129,840,968,002,134,171,545,848,052,085,321,644,655,741,519,470,897,307,312,
050,827,678,458,355,676,992,395,398,184,057,145,733,181,236,914,875,299,333,
082,393,045,949,443,360,159,217,587,311,833,971,882,006,490,425,065,562,978,
593,216,401,138,232,125,018,013,614,310,100,192,567,236,850,493,279,390,507,
858,629,398,963,773,828,805,632,175,956,200,746,990,861,207,681,962,458,554,
037,239,340,562,037,754,779,576,549,772,510,813,557,635,186,200,997,388,678,
642,884,696,816,308,984,180,136,822,176,578,843,386,795,454,157,853,184,312,
296,624,767,118,699,515,525,518,691,380,835,467,352,291,047,272,463,570,299,
855,330,096,436,447,823,891,172,757,701,147,581,110,424,208,740,516,496,829,
014,747,831,041,266,168,433,740,218,602,465,913,511,600,298,467,809,555,741,
762,750,997,380,616,197,789,425,875,729,281,515,103,568,749,896,504,445,218,
016,317,042,432,903,008,678,833,102,905,758,422,234,941,617,726,836,379,393,
376,102,955,296,035,951,233,030,471,196,934,155,493,933,996,479,331,588,491,
214,383,861,160,913,803,060,646,695,097,431,025,076,151,018,195,685,238,472,
326,350,271,071,636,840,567,816,081,999,148,619,814,434,195,474,991,381,216,
973,839,674,449,921,131,637,735,832,868,353,916,160,716,777,905,958,101,548,
614,840,259,296,356,749,576,855,162,210,582,628,047,417,389,745,082,849,949,
652,985,790,818,871,694,791,450,893,003,905,215,781,687,425,321,052,093,171,
699,934,759,080,216,597,347,512,447,378,135,726,364,043,144,300,722,764,447,
902,784,261,842,652,559,517,768,064,683,587,729,667,511,542,014,850,468,153,
862,414,044,067,594,241,400,214,326,080,394,559,553,042,166,445,389,068,345,
967,522,616,719,863,876,690,656,417,519,217,251,915,133,321,293,171,793,417,
818,034,380,534,848,811,498,206,355,789,371,900,525,262,918,157,908,486,990,
800,009,423,294,908,703,657,861,957,942,236,005,543,525,585,797,659,507,546,
488,701,687,664,145,947,565,701,792,963,040,598,442,492,262,110,230,706,493,
231,912,339,246,986,630,907,912,140,293,199,670,918,688,905,337,270,486,288,
092,234,131,836,722,666,808,600,607,653,633,271,340,211,751,568,013,876,492,
401,133,441,640,998,044,169,752,472,698,385,093,626,984,596,568,178,270,709,
834,384,980,917,826,164,521,435,702,709,599,080,849,845,392,912,401,103,430,
308,142,178,537,291,565,489,372,770,690,658,247,672,142,545,213,274,830,309,
114,596,739,797,557,823,529,148,725,872,087,615,594,309,736,204,202,512,083,
156,634,532,970,812,089,406,260,851,319,105,241,900,753,503,673,063,183,501,
023,977,101,559,647,101,845,771,193,572,735,195,112,090,314,356,739,021,815,
946,359,004,559,474,035,245,340,975,879,083,878,301,547,903,647,032,383,488,
062,677,389,737,508,786,773,164,199,019,901,220,352,639,206,448,198,125,552,
605,256,863,211,945,072,534,041,306,051,012,238,929,115,081,701,289,800,071,
024,671,626,385,444,199,320,272,889,984,827,582,079,295,043,268,378,712,302,
793,622,375,880,182,842,699,203,404,492,458,841,758,436,984,643,492,989,410,
248,005,870,355,490,867,347,958,023,870,279,129,597,617,740,182,927,418,247,
998,481,371,060,919,242,667,031,186,772,922,747,339,010,235,743,801,574,582,
483,932,660,816,773,938,789,830,403,203,172,021,762,534,076,913,871,967,836,
518,314,752,461,575,987,495,365,399,186,620,427,742,534,998,831,676,703,472,
339,221,446,990,629,234,001,636,173,521,995,540,716,018,750,158,128,246,434,
860,045,362,415,923,480,608,778,963,675,614,674,733,622,936,859,253,663,323,
162,201,020,391,388,015,528,985,841,111,928,939,575,275,879,742,963,978,422,
345,150,838,955,649,221,424,158,249,265,410,241,478,749,434,511,884,075,377,
871,269,144,510,368,992,432,089,071,657,248,925,664,528,971,867,427,136,156,
264,980,570,694,228,344,481,912,797,706,776,605,113,335,214,994,095,958,666,
707,912,047,878,921,904,957,108,985,830,085,071,874,677,132,707,068,728,730,
321,861,512,840,804,794,345,503,473,874,264,486,145,678,280,039,490,691,705,
007,498,249,749,503,622,222,473,654,902,309,615,982,948,543,232,857,423,366,
471,135,851,613,914,403,921,643,699,403,348,957,361,384,309,770,220,003,111,
564,398,730,290,988,985,169,420,965,797,645,194,287,075,727,079,048,784,717,
013,471,380,384,867,638,758,842,705,521,817,775,496,373,684,006,514,217,266,
389,472,742,481,333,265,133,285,645,320,844,770,876,494,725,225,011,311,759,
551,875,177,572,550,964,609,737,181,435,009,246,468,850,714,037,507,579,794,
429,085,317,172,209,990,281,425,158,199,903,951,921,037,313,450,280,081,315,
068,946,146,801,862,057,680,762,656,979,301,239,119,057,274,696,009,835,104,
819,632,080,128,474,362,968,144,524,668,374,377,938,165,906,538,811,902,764,
025,138,430,614,095,269,795,984,669,938,364,253,247,856,686,747,360,089,270,
773,998,635,618,115,609,734,856,630,772,670,129,325,332,716,694,584,925,132,
671,641,210,921,690,963,109,659,624,369,710,134,592,158,468,240,864,805,671,
367,768,121,868,383,018,500,119,346,536,279,459,589,500,948,267,567,925,967,
583,059,910,068,727,028,000,899,128,549,914,856,560,424,194,837,188,593,083,
621,801,305,197,178,045,094,580,709,622,705,368,525,291,834,451,705,858,634,
282,534,727,217,690,133,444,020,456,609,027,440,177,706,703,460,182,453,156,
256,207,632,948,519,668,045,476,177,481,523,986,206,953,771,695,220,917,133,
179,210,785,779,569,011,364,182,901,463,503,939,274,809,097,035,812,601,303,
845,149,676,943,487,768,776,116,691,552,811,062,701,813,372,424,456,901,190,
009,396,958,689,120,131,990,582,432,050,703,837,406,704,687,570,255,830,298,
120,638,015,729,800,065,564,224,084,966,378,512,588,353,640,924,519,102,492,
438,343,617,025,196,369,025,680,055,716,821,940,472,133,900,502,148,506,519,
414,576,565,096,313,550,482,686,417,145,278,151,476,435,396,920,173,557,550,
339,432,798,966,433,305,167,956,100,202,558,836,909,898,213,046,745,803,604,
210,170,133,494,724,373,492,243,149,633,709,936,986,012,228,258,591,286,944,
374,677,257,669,253,629,767,410,972,017,406,046,001,618,636,716,665,357,777,
608,068,460,315,611,478,145,880,140,460,185,906,479,602,856,813,338,867,035,
131,822,060,136,210,754,783,795,773,431,999,672,936,724,689,693,508,495,357,
526,102,324,218,068,898,698,554,413,491,853,882,417,995,447,738,096,105,743,
827,488,511,952,810,008,638,529,032,116,834,223,859,582,495,550,849,202,633,
795,742,068,281,975,208,551,467,584,816,233,357,898,399,629,678,962,973,289,
826,112,210,003,535,134,811,674,933,284,737,331,689,522,904,369,136,331,144,
806,647,387,959,450,187,879,718,152,381,572,125,806,263,083,300,417,671,803,
996,433,933,648,287,548,055,474,847,658,684,018,161,225,664,591,880,104,617,
102,481,571,057,834,662,671,590,547,178,351,193,810,022,118,539,162,975,622,
743,552,854,680,487,566,365,572,031,041,301,574,107,545,234,446,192,895,399,
541,527,720,641,969,140,498,700,360,485,727,598,398,366,946,287,467,150,632,
223,056,558,098,124,176,604,531,130,879,555,410,773,038,003,857,827,599,417,
924,317,189,115,760,056,900,046,129,254,457,016,978,496,658,875,372,404,871,
698,847,658,218,150,152,095,044,213,738,624,738,985,769,894,848,377,970,347,
878,724,636,731,755,063,657,062,602,893,224,271,283,031,144,400,237,005,208,
582,773,838,170,076,745,421,805,799,938,853,081,752,228,347,854,357,035,372,
804,079,519,622,706,257,306,840,336,905,482,727,260,943,195,867,857,916,752,
495,172,494,728,973,313,875,783,924,578,642,997,965,125,444,797,792,085,178,
695,099,519,583,723,611,900,880,418,893,019,126,342,776,521,059,544,057,682,
786,270,108,414,095,685,813,333,133,926,289,785,450,676,740,755,875,339,605,
986,551,568,683,168,052,577,149,210,288,315,937,854,742,901,421,234,580,125,
553,466,308,717,332,500,335,941,072,063,228,941,384,913,108,267,861,106,808,
138,900,334,674,345,643,375,523,222,273,187,666,972,970,482,195,022,780,262,
749,014,321,988,772,344,875,817,953,767,951,841,974,169,405,755,931,841,200,
845,054,626,800,064,760,880,828,680,465,048,222,159,279,790,036,623,895,421,
846,939,770,891,931,235,994,319,630,828,268,748,433,939,856,234,227,889,301,
555,820,135,291,491,104,115,509,119,485,929,966,222,918,747,605,927,467,087,
195,657,524,493,703,454,934,329,906,142,827,340,836,179,677,535,618,367,784,
456,322,360,643,233,605,277,305,874,066,084,424,584,414,967,481,522,843,314,
686,197,025,095,076,051,213,035,974,981,783,866,471,867,534,455,068,659,856,
735,254,839,782,904,758,651,481,784,557,410,632,060,685,590,628,835,381,946,
155,392,572,986,718,056,638,367,865,267,790,463,338,880,344,265,476,216,617,
713,616,719,537,409,620,272,150,724,769,155,671,840,293,593,721,783,297,630,
385,149,685,790,746,756,315,045,767,593,430,216,939,705,980,187,063,945,030,
750,158,436,868,614,285,761,512,817,818,148,006,476,358,197,054,217,771,539,
154,362,741,475,933,314,268,308,165,181,812,496,908,801,149,089,026,716,140,
997,136,432,563,041,830,450,947,654,200,894,433,867,470,340,073,063,344,994,
800,738,472,577,169,718,796,477,526,726,028,296,902,307,439,613,554,693,942,
281,490,010,418,592,416,370,514,596,297,104,896,568,259,777,988,742,843,657,
448,602,750,668,959,273,671,712,339,425,080,980,435,068,531,126,704,302,825,
439,470,725,921,180,001,307,022,678,603,001,062,485,006,483,503,529,189,995,
062,698,904,478,598,326,524,281,398,709,781,311,973,506,509,838,365,598,892,
307,571,481,207,806,071,241,787,481,708,831,533,772,115,876,122,779,690,022,
712,141,650,384,084,178,243,645,911,970,644,194,018,531,587,505,983,767,358,
242,340,334,365,819,072,873,683,076,022,135,761,621,716,780,830,439,251,362,
306,435,888,846,226,832,342,640,676,721,653,657,188,341,636,863,451,267,185,
802,200,037,788,276,908,104,192,490,828,473,808,292,810,972,087,053,174,512,
631,205,813,231,788,015,233,740,865,932,830,891,135,614,252,202,070,604,871,
649,829,382,029,251,183,005,432,074,953,308,923,194,996,882,968,443,965,420,
826,785,987,103,919,891,894,273,304,657,542,032,888,780,502,889,363,091,108,
935,901,123,550,457,531,400,931,330,375,159,107,728,649,620,094,263,597,944,
640,313,310,687,998,954,926,489,674,522,408,357,688,155,237,085,224,043,995,
012,613,572,648,530,684,920,555,993,459,166,568,241,713,839,299,831,879,199,
544,798,834,307,051,977,029,966,576,178,062,438,147,193,353,275,530,134,811,
717,442,933,385,312,995,785,038,042,928,095,200,497,799,347,369,474,848,372,
172,976,865,190,170,663,587,510,565,084,258,616,911,100,146,037,488,089,857,
934,191,993,639,969,281,536,837,720,724,055,828,368,425,630,500,910,656,321,
584,743,235,112,174,750,418,907,586,373,879,544,159,911,888,548,404,359,979,
034,674,020,352,255,835,861,110,105,502,347,018,139,699,713,089,522,853,688,
173,816,396,490,660,758,444,044,470,757,348,407,195,066,953,931,948,699,008,
487,786,345,462,473,894,673,042,709,527,953,066,569,234,685,800,787,346,174,
042,637,524,875,626,666,310,333,151,746,794,958,574,547,809,415,478,331,655,
681,533,695,854,474,290,884,463,501,198,755,785,508,302,473,673,030,653,043,
318,391,365,151,748,558,833,037,772,625,231,349,978,085,509,081,663,061,607,
826,530,795,119,331,910,896,432,863,472,655,266,855,410,779,815,114,041,254,
785,348,024,723,456,142,216,121,200,927,936,172,611,494,845,585,589,756,151,
790,116,902,388,613,449,710,345,415,756,382,439,631,432,989,999,395,434,796,
522,999,789,695,976,734,696,077,037,983,662,460,647,252,123,371,960,420,762,
315,034,489,474,610,523,865,042,878,968,202,353,990,009,751,968,226,692,205,
912,477,076,673,903,916,709,838,999,973,229,110,565,538,056,339,602,623,312,
490,849,688,087,007,381,624,754,466,513,051,090,907,376,791,819,666,009,997,
209,935,411,315,747,799,947,860,801,453,666,898,207,879,656,951,793,271,349,
629,872,355,323,015,934,294,403,475,094,503,944,021,574,755,033,530,643,806,
693,384,244,330,025,887,223,864,679,252,841,619,063,336,128,351,786,974,885,
374,772,242,234,185,711,260,411,845,763,082,909,390,658,055,149,549,834,859,
003,812,451,630,694,732,658,293,229,111,452,353,076,338,634,691,919,568,404,
641,193,812,796,734,061,347,710,388,549,411,531,234,686,970,622,643,950,183,
457,913,243,909,440,006,080,291,610,688,079,973,004,755,410,872,593,313,145,
598,105,808,095,400,633,676,158,688,038,062,689,684,080,243,161,495,728,400,
843,254,104,928,688,415,133,045,727,028,986,108,357,602,176,095,247,506,548,
318,275,620,784,440,640,008,933,308,040,481,856,838,893,546,458,912,597,117,
546,696,063,014,924,876,984,454,086,227,372,316,022,929,205,179,262,233,269,
967,292,037,061,079,508,347,696,956,901,739,792,009,516,529,817,209,744,972,
636,188,821,822,664,154,725,065,159,315,077,835,806,909,204,689,820,405,794,
354,051,172,975,701,800,158,207,593,937,878,789,109,579,401,339,799,115,168,
626,936,575,459,682,954,565,690,861,597,896,406,126,545,017,855,967,896,354,
411,731,414,617,082,181,941,080,396,400,997,371,646,967,767,830,896,649,876,
920,437,655,343,100,071,754,688,703,125,967,787,449,632,789,751,011,015,965,
959,896,293,767,133,472,504,564,590,653,537,109,913,594,229,504,733,680,410,
242,869,921,929,868,955,168,191,501,737,737,731,176,146,654,460,300,246,649,
150,346,445,454,951,447,371,532,064,843,916,602,804,710,153,577,813,905,861,
610,165,401,032,906,933,259,083,280,731,880,870,083,947,234,336,793,470,340,
460,892,927,663,778,504,971,881,860,962,635,709,145,738,897,634,235,646,068,
422,600,298,079,515,765,614,254,398,688,282,604,514,745,376,568,546,343,837,
932,989,710,176,276,747,150,330,162,585,523,891,503,728,544,273,305,249,775,
993,665,367,459,056,229,964,376,212,048,663,177,806,949,776,428,188,934,629,
851,192,728,410,280,102,293,360,547,694,718,488,371,816,366,135,648,944,916,
383,828,385,723,994,617,070,369,123,673,880,735,997,852,432,407,995,222,056,
834,232,846,149,258,457,600,709,180,878,259,141,073,029,104,485,247,247,624,
671,195,666,758,636,291,535,052,142,104,537,244,875,819,249,134,278,637,856,
034,968,386,051,678,652,137,440,501,649,574,157,934,140,802,441,419,969,244,
753,423,220,576,319,351,159,905,928,546,236,333,648,728,489,387,955,722,382,
502,981,115,103,174,457,924,983,975,350,478,665,740,802,220,208,590,503,907,
433,516,959,281,057,667,021,984,017,097,851,608,500,426,586,822,752,436,128,
330,718,046,004,145,071,967,712,126,162,575,618,625,135,478,087,760,614,725,
419,754,813,742,393,876,536,406,156,437,751,374,889,278,424,040,328,782,610,
145,451,723,034,979,076,714,801,659,366,094,121,545,032,374,569,899,341,535,
051,963,156,196,864,827,928,303,641,487,064,606,482,556,154,334,871,179,163,
478,632,863,526,603,827,810,302,257,249,591,888,868,227,268,170,341,902,937,
912,091,484,509,717,617,086,709,706,847,931,692,310,775,065,927,725,097,855,
786,145,510,392,910,476,648,128,501,565,848,256,246,276,162,505,787,056,720,
229,229,289,660,893,651,952,695,563,375,984,611,187,882,991,962,831,690,859,
172,071,078,441,987,806,945,041,932,750,465,510,683,072,177,429,063,654,958,
747,961,449,813,427,330,277,417,375,801,812,554,980,340,707,858,652,170,459,
071,477,348,225,227,247,852,864,394,327,631,216,585,841,120,824,248,278,736,
227,430,398,861,803,646,950,635,915,216,564,590,049,678,691,037,837,449,005,
120,755,028,057,668,529,426,580,471,664,715,933,715,894,618,894,306,078,217,
147,031,199,233,295,936,389,843,616,454,865,395,490,710,448,387,407,112,099,
689,464,627,003,346,560,770,245,325,513,860,293,570,167,748,782,299,514,960,
765,511,450,637,355,023,283,600,479,168,381,230,624,509,304,263,183,969,691,
940,563,054,830,270,810,763,006,558,048,568,147,716,342,523,549,872,654,087,
648,200,873,629,097,537,566,349,662,926,847,034,992,316,181,243,495,233,289,
020,408,258,798,942,320,077,454,003,502,696,873,138,359,812,897,195,936,270,
707,282,992,105,524,946,287,658,569,191,713,175,541,241,221,602,135,307,955,
342,498,371,066,470,318,075,194,688,385,120,339,801,722,481,625,063,369,739,
185,218,607,110,059,190,931,489,209,031,348,908,497,796,755,258,298,269,377,
165,560,420,145,235,742,930,285,260,130,536,242,037,479,400,433,419,074,673,
305,074,482,476,976,855,592,883,233,778,652,331,715,591,674,673,966,300,907,
121,167,232,330,379,540,797,857,847,581,501,245,410,117,967,491,582,770,778,
212,135,882,874,805,125,603,146,001,721,297,553,362,567,658,055,969,828,936,
535,303,842,491,905,083,504,214,870,506,513,437,452,317,127,388,542,133,670,
929,441,224,837,829,899,685,925,493,803,759,931,783,714,418,027,739,647,721,
256,625,799,838,592,470,638,177,312,513,910,633,379,506,752,291,059,799,274,
295,775,466,746,336,532,599,129,874,628,063,399,191,121,330,191,423,128,753,
647,564,902,866,068,572,600,880,714,976,243,036,349,771,663,409,014,938,051,
183,643,492,114,580,262,495,542,325,932,823,670,252,056,658,473,350,954,877,
168,581,924,791,294,697,423,133,041,050,035,135,357,008,102,543,855,722,012,
722,073,553,276,780,876,310,242,935,512,170,778,830,686,226,772,259,568,135,
539,226,140,771,243,616,742,092,777,671,273,816,363,777,067,023,937,593,119,
395,002,381,604,524,246,635,925,213,286,693,310,100,018,529,612,969,526,161,
897,436,455,928,569,140,137,586,862,160,094,721,019,007,788,024,629,199,278,
966,652,308,701,490,167,801,344,280,967,513,130,094,069,616,508,700,783,713,
520,100,594,500,487,476,616,086,330,812,376,336,156,988,355,390,104,628,768,
658,581,328,801,293,330,901,356,855,411,859,427,675,901,613,842,869,544,382,
873,298,246,649,596,489,991,380,113,497,208,202,144,812,439,591,998,413,069,
043,604,696,673,494,747,997,256,416,340,420,184,190,585,636,783,094,673,429,
346,584,230,018,747,878,163,893,126,666,038,605,957,122,807,893,240,745,465,
475,262,190,551,995,271,983,899,040,277,386,845,819,105,872,875,952,126,571,
180,487,900,378,238,059,721,735,473,921,305,528,864,993,839,706,329,109,569,
272,232,279,579,723,002,389,244,669,005,643,253,853,043,141,084,937,295,103,
211,533,871,205,795,764,519,630,102,824,686,446,930,691,420,623,319,592,349,
143,302,781,810,190,977,140,609,569,867,377,272,833,405,235,470,019,085,699,
134,841,277,359,821,943,207,447,233,058,164,686,805,279,877,086,328,778,417,
075,844,466,004,249,832,969,994,237,531,028,497,711,450,190,664,782,160,177,
605,156,378,801,994,905,371,971,671,700,117,844,292,024,312,229,017,347,681,
957,418,903,420,013,835,586,235,186,614,382,275,505,024,744,092,498,055,272,
258,383,081,029,445,643,877,177,904,181,182,631,262,998,847,173,051,564,060,
173,854,257,709,397,237,539,812,426,499,137,622,530,192,536,550,085,034,804,
255,889,045,471,676,193,472,690,930,074,772,388,019,796,388,443,389,756,236,
850,966,738,596,962,163,269,654,981,002,984,305,221,209,117,651,664,749,088,
059,432,437,150,806,184,879,082,029,506,777,847,089,448,496,505,601,285,753,
425,075,228,150,350,948,979,141,514,738,306,539,296,834,899,360,472,843,638,
824,932,963,164,644,235,706,783,437,614,464,748,565,586,027,744,299,140,718,
397,951,634,822,974,456,426,333,389,166,395,862,351,578,453,041,082,657,887,
283,744,124,332,940,386,254,377,688,553,035,043,701,284,321,703,243,969,500,
356,338,062,450,361,919,174,170,388,412,798,916,424,332,506,913,807,518,257,
286,810,471,538,176,094,819,429,119,117,086,660,919,124,294,639,523,617,132,
910,094,863,406,048,174,697,573,979,347,658,512,909,002,901,482,930,772,434,
676,560,128,304,273,243,660,219,042,440,055,368,292,587,522,580,703,910,081,
970,191,878,994,640,987,573,135,107,170,262,946,583,377,947,879,004,508,376,
804,730,489,015,978,095,451,027,304,432,404,538,056,692,580,159,317,538,338,
594,999,612,332,335,612,827,757,732,781,764,489,176,790,708,555,711,670,446,
213,395,103,308,663,717,220,638,703,874,045,593,296,568,173,866,590,292,250,
122,827,233,850,351,255,643,769,283,781,077,115,132,241,460,647,179,390,962,
490,404,760,496,973,751,378,388,978,929,892,785,090,213,397,758,241,754,931,
228,431,734,821,549,084,611,407,341,730,549,106,307,922,417,737,858,156,258,
528,677,628,486,307,036,894,582,969,997,558,948,845,620,811,969,420,312,050,
621,762,658,575,855,775,109,269,883,653,512,609,788,966,824,735,069,674,222,
321,880,526,788,115,008,203,837,358,025,992,301,119,925,290,809,918,038,925,
204,995,656,668,442,555,809,792,882,082,760,138,584,770,233,825,097,616,865,
038,332,454,309,063,610,401,240,694,595,171,051,836,321,854,007,762,038,065,
101,941,790,590,514,770,820,119,836,948,265,468,020,149,763,260,844,981,602,
158,681,784,677,877,507,185,983,040,969,384,505,276,470,085,212,239,072,250,
080,471,040,237,976,453,066,986,546,358,575,554,756,925,353,541,437,292,542,
640,262,326,821,131,563,027,454,095,409,448,001,642,388,226,950,280,271,029,
865,998,886,446,553,100,621,791,542,876,837,145,127,490,516,077,300,366,959,
410,928,356,262,170,720,784,256,885,300,282,754,577,073,359,748,404,844,440,
572,034,825,203,502,477,311,229,000,980,860,868,143,238,189,278,045,883,743,
373,888,028,156,019,486,914,161,027,546,700,055,903,063,557,803,308,238,363,
480,939,960,972,577,531,612,837,235,478,962,354,573,123,008,529,494,232,681,
943,720,116,337,010,109,959,966,227,155,672,797,551,725,546,212,959,704,886,
088,430,464,044,316,954,274,803,903,891,973,543,753,902,576,846,995,562,886,
430,882,171,814,516,573,622,331,514,889,636,053,286,700,318,735,865,685,897,
742,116,072,894,829,161,651,792,753,028,145,668,834,939,633,503,046,355,388,
611,272,575,518,294,570,723,412,517,950,634,974,388,358,460,760,612,191,474,
840,679,421,150,635,641,668,598,411,647,980,404,561,156,184,759,800,242,216,
030,013,351,650,939,227,820,506,944,117,000,074,328,370,902,084,009,574,278,
879,650,223,603,428,206,173,015,201,196,480,381,876,015,197,110,447,275,698,
638,819,382,999,772,334,921,154,829,855,483,268,773,917,503,683,820,671,935,
305,831,292,484,025,953,322,853,441,715,958,456,369,473,966,729,567,471,058,
207,535,341,869,478,487,938,755,842,950,955,433,938,396,370,579,873,742,281,
074,688,852,743,778,449,512,823,590,247,615,317,441,407,465,782,020,154,398,
425,186,672,045,509,561,280,127,055,486,050,625,859,563,415,438,446,112,463,
747,061,350,625,189,034,493,584,803,810,322,606,555,386,086,977,078,766,895,
050,391,231,618,502,169,256,213,885,638,690,691,599,639,511,325,004,541,282,
123,521,989,055,323,282,061,338,326,057,856,162,314,305,907,850,955,646,888,
636,795,130,699,072,096,472,777,307,390,217,374,687,520,057,592,504,410,572,
504,926,062,554,103,494,147,386,694,704,680,744,369,311,777,168,545,267,703,
400,303,679,339,890,238,260,562,614,156,165,499,260,284,494,817,403,704,560,
334,250,045,696,550,407,433,066,142,186,125,577,300,838,225,138,573,347,322,
171,133,795,250,727,100,267,046,957,177,911,055,360,452,579,315,659,000,728,
227,998,831,649,114,645,239,131,326,958,048,022,638,732,693,114,625,452,893,
999,851,536,166,277,459,583,106,724,114,629,044,380,552,649,125,534,315,405,
270,696,155,381,560,693,407,933,770,583,470,577,619,063,979,947,871,730,281,
781,517,209,340,841,935,325,616,717,692,477,742,368,997,253,794,834,549,014,
022,322,491,213,467,967,062,889,120,529,161,844,102,562,751,586,991,943,635,
827,691,420,741,501,722,912,158,604,106,056,856,155,121,118,580,293,023,727,
553,325,269,109,000,307,166,438,561,030,196,680,223,248,753,525,901,569,796,
264,455,647,805,380,137,992,530,424,258,297,780,353,619,503,789,418,494,572,
723,872,549,491,850,223,092,841,512,620,187,500,113,307,199,428,015,544,383,
773,187,509,459,557,612,263,460,453,864,819,699,609,672,602,445,196,481,242,
739,708,273,943,816,664,833,612,901,772,558,087,881,093,445,786,168,459,530,
482,976,002,502,157,664,057,406,555,428,027,264,505,090,295,104,013,169,962,
075,967,389,373,325,651,389,260,868,589,518,464,507,069,141,221,322,441,323,
596,310,936,732,892,342,043,532,710,953,341,270,008,027,681,530,314,308,384,
537,932,233,340,537,873,018,858,396,453,686,675,865,919,660,214,754,543,729,
819,755,389,833,470,270,073,680,651,895,960,733,302,987,835,055,260,287,418,
820,067,370,762,342,744,622,246,493,444,452,669,473,584,957,051,766,618,653,
832,191,798,216,367,916,747,541,176,251,937,204,365,221,570,539,819,830,584,
717,231,204,838,525,904,164,761,555,984,348,193,273,965,868,126,600,346,360,
669,272,054,670,054,718,452,399,533,845,551,862,307,007,218,240,281,483,382,
391,774,322,535,169,098,987,167,190,968,275,552,668,451,236,577,397,797,501,
458,501,875,528,818,578,318,927,580,463,163,848,624,428,363,725,187,972,780,
395,889,327,655,639,429,523,730,593,206,495,595,887,541,220,111,046,062,247,
042,829,959,797,651,362,943,711,383,294,802,178,973,699,968,630,003,218,631,
348,725,121,965,730,158,889,049,873,801,098,127,123,940,215,294,040,839,356,
851,886,191,527,640,037,870,222,572,113,844,919,007,707,243,599,683,010,796,
642,351,244,358,498,750,848,663,909,432,915,144,793,543,606,418,466,152,818,
294,505,995,824,203,944,729,710,070,290,341,601,321,882,680,705,784,903,881,
219,572,624,966,192,922,802,546,154,343,469,253,032,389,922,373,941,453,709,
404,199,028,044,345,385,356,077,614,223,716,863,711,658,804,047,768,377,565,
066,476,381,963,525,759,071,543,055,630,201,975,206,465,855,709,525,754,119,
020,915,268,804,471,654,249,941,376,909,581,639,831,011,232,136,686,186,858,
125,708,631,177,806,065,350,559,054,742,052,426,580,960,297,502,198,220,048,
375,094,556,342,769,016,450,704,215,154,050,301,716,706,952,199,081,724,910,
393,992,792,910,941,759,491,465,569,648,328,894,658,473,787,724,161,273,688,
881,921,154,222,870,748,364,214,221,111,929,836,346,995,275,497,494,938,906,
941,357,571,822,062,743,984,765,346,623,612,006,311,192,721,536,633,289,178,
128,312,440,842,773,638,019,643,067,526,067,810,912,265,106,975,448,632,939,
689,257,584,045,212,987,183,174,304,664,774,784,463,677,931,358,027,773,127,
707,220,332,990,737,947,729,685,785,644,577,157,331,421,282,869,617,380,914,
858,486,810,376,051,907,582,349,717,681,513,779,057,420,920,012,522,894,173,
689,476,175,404,294,991,102,463,113,518,741,266,858,350,862,106,970,380,479,
722,256,366,209,782,823,884,148,138,633,258,787,375,536,070,130,658,524,621,
040,525,677,498,938,005,359,857,566,067,604,028,111,779,894,527,701,598,854,
823,921,869,096,378,868,214,972,080,908,257,868,193,796,950,399,080,887,948,
099,098,666,763,336,574,064,588,208,835,411,116,822,116,954,686,411,091,850,
946,832,818,666,737,014,319,417,712,345,720,023,192,200,002,224,604,805,352,
409,080,396,372,890,500,326,073,346,139,903,544,237,519,256,456,011,845,875,
527,371,247,376,512,393,935,535,065,961,745,488,954,791,128,567,081,431,012,
356,857,126,102,197,840,670,450,799,736,548,435,086,427,564,304,805,915,621,
300,710,363,379,626,424,941,083,843,863,393,370,164,573,461,609,951,780,215,
149,232,579,769,739,057,460,952,613,431,024,836,001,783,619,437,843,879,505,
303,983,911,076,921,793,771,316,121,384,791,250,164,286,747,652,535,412,942,
823,787,626,969,771,805,512,609,035,855,502,884,930,357,660,688,050,755,030,
122,434,903,172,598,052,582,050,567,632,969,510,771,683,868,344,072,611,418,
916,865,106,352,331,788,889,454,904,805,566,500,142,137,378,906,252,720,777,
134,013,044,534,117,189,273,754,309,901,555,197,744,510,816,179,867,484,016,
567,741,564,082,438,815,217,980,994,368,704,357,944,917,889,155,178,619,111,
551,948,248,023,231,804,335,964,031,402,753,440,103,784,054,173,891,533,568,
056,269,341,435,143,706,904,872,619,873,489,954,259,440,087,170,349,933,191,
028,180,726,255,541,479,885,917,746,202,762,714,536,349,282,284,780,503,278,
555,323,709,247,557,834,753,646,011,452,997,759,742,861,089,743,696,851,542,
828,876,590,548,353,496,633,922,253,656,457,163,166,882,460,287,853,521,944,
086,764,793,927,591,659,444,973,286,002,537,455,291,135,066,265,161,932,854,
696,331,429,654,567,747,746,084,242,683,744,386,674,842,197,714,083,214,954,
339,704,872,111,166,118,224,134,313,006,615,242,872,567,127,026,057,011,016,
556,501,967,163,148,150,805,758,121,276,484,943,349,277,539,168,579,527,058,
760,062,080,617,190,975,145,655,865,791,774,372,934,842,768,151,198,057,840,
424,435,405,467,365,280,616,097,105,546,286,556,481,270,561,265,984,355,774,
636,898,272,756,431,222,175,601,482,212,670,086,685,218,016,260,467,034,787,
249,266,974,183,531,847,949,284,757,969,298,371,773,396,299,046,610,286,709,
958,171,875,737,584,260,790,556,327,195,204,709,155,967,037,974,130,029,071,
357,410,865,290,492,485,624,064,888,217,800,304,107,918,619,992,524,907,202,
712,601,004,552,812,598,609,798,423,963,865,440,692,610,501,722,882,559,009,
065,260,348,025,748,655,579,778,700,345,776,963,664,362,534,318,697,048,327,
389,264,503,051,697,853,271,595,979,743,430,767,974,667,313,069,733,382,447,
540,601,817,416,033,194,838,937,063,931,470,675,969,210,100,985,344,535,573,
482,928,453,605,584,365,020,528,079,224,174,828,285,848,622,356,532,126,807,
630,245,472,395,508,003,517,894,966,131,027,673,331,171,273,163,102,190,279,
768,656,520,259,225,655,505,818,933,534,724,979,588,114,307,325,934,819,155,
887,430,517,756,223,154,091,197,272,484,352,886,411,722,492,254,973,527,292,
584,051,101,400,466,081,173,454,417,431,018,751,836,868,270,187,783,617,056,
949,566,517,505,416,711,553,595,520,496,492,948,008,914,590,511,855,030,621,
075,087,315,288,618,293,326,922,595,651,036,590,919,792,222,304,131,180,969,
410,276,524,963,171,948,232,404,296,378,160,296,002,774,075,325,742,269,204,
466,613,244,251,447,837,033,769,214,709,520,179,698,437,342,145,556,413,224,
066,658,375,300,826,093,838,106,233,803,546,934,644,417,484,330,840,531,342,
996,592,699,888,838,471,673,556,205,376,053,417,047,476,314,735,412,780,849,
619,679,765,776,205,468,948,589,336,532,545,378,684,649,377,792,348,840,060,
319,655,176,947,045,012,766,411,730,299,764,118,287,113,544,301,842,352,652,
638,099,589,141,313,611,553,595,282,368,502,912,617,727,254,054,699,030,911,
635,371,354,755,467,143,973,058,307,793,653,882,466,742,250,922,889,841,028,
356,821,099,608,460,030,198,555,627,813,122,910,406,987,578,543,657,798,271,
142,169,211,272,077,190,338,042,245,296,456,779,892,987,304,702,746,525,087,
881,364,509,638,759,133,992,994,838,070,604,186,619,740,881,001,449,163,944,
479,813,176,852,231,732,744,574,849,544,630,153,278,617,296,129,832,213,941,
926,380,427,079,744,477,836,215,658,763,671,249,628,793,240,628,609,901,133,
339,448,521,597,144,411,290,322,671,965,104,787,259,781,697,670,965,978,010,
514,324,591,782,669,322,914,356,470,853,113,253,757,061,594,711,326,072,305,
398,411,144,545,733,114,441,186,021,828,215,839,185,860,381,785,315,173,263,
498,772,647,121,900,463,765,332,793,880,533,019,472,564,521,729,137,508,537,
068,418,103,174,124,589,246,042,952,134,070,792,574,318,382,621,440,375,909,
719,785,169,296,392,470,474,229,738,226,047,090,217,630,254,023,180,726,961,
402,819,756,756,071,606,973,809,969,224,919,829,154,924,160,343,879,934,798,
457,588,758,848,532,009,346,793,652,009,521,323,374,323,336,253,599,836,232,
057,318,531,182,486,499,117,982,882,049,885,370,576,267,254,768,762,179,954,
238,629,037,990,433,168,049,553,156,606,354,430,869,405,912,074,685,057,803,
915,951,932,436,243,526,334,114,757,808,145,148,576,243,830,260,150,485,013,
640,921,715,313,116,245,490,983,894,046,539,707,397,876,812,581,383,081,338,
470,556,741,308,013,436,351,094,539,661,701,007,416,493,872,903,654,926,767,
474,342,691,914,321,891,950,356,879,192,674,392,802,633,532,026,759,472,202,
973,804,568,553,396,651,051,526,732,868,210,911,603,078,380,161,028,983,148,
291,197,594,008,208,756,857,470,364,134,801,605,745,657,125,099,378,113,154,
590,521,664,071,409,063,541,271,808,201,007,448,897,936,925,973,626,226,176,
752,713,525,662,457,594,891,720,439,256,083,066,811,200,727,978,690,180,373,
091,114,492,929,079,730,288,924,377,987,086,710,499,815,585,979,034,060,369,
306,161,614,114,506,868,375,025,901,479,290,293,295,818,628,640,319,832,208,
695,190,900,129,946,983,085,100,893,646,294,942,215,745,756,953,640,048,170,
165,867,797,091,077,801,479,348,229,232,388,289,747,704,596,279,198,561,351,
880,722,307,413,021,589,620,491,774,864,182,024,159,108,145,585,408,081,388,
255,453,771,687,931,716,076,401,318,445,760,581,453,399,868,993,054,636,786,
226,078,101,772,034,522,353,633,761,031,380,204,715,696,039,122,146,749,882,
021,431,265,901,890,205,998,647,851,509,294,183,381,786,119,012,761,935,361,
454,459,298,852,727,248,374,923,868,789,355,692,891,823,174,267,866,711,919,
042,726,692,580,574,117,059,608,028,041,012,830,329,889,435,381,687,241,766,
859,678,314,863,524,723,579,387,013,604,690,298,729,696,017,515,855,302,133,
246,607,121,247,021,964,243,559,276,722,137,996,907,336,304,525,754,153,185,
149,287,967,942,700,147,527,418,373,602,047,006,761,673,572,681,603,232,555,
876,840,954,368,050,769,315,149,270,562,630,234,927,422,439,130,402,803,601,
631,897,034,850,464,412,977,324,639,612,478,016,635,854,384,690,720,053,975,
722,170,095,863,201,094,029,682,031,360,790,563,506,093,242,897,458,855,342,
484,922,812,950,712,376,714,671,812,929,546,800,194,512,161,556,505,415,579,
389,137,383,949,123,524,909,042,945,420,338,710,915,917,193,063,782,587,339,
848,870,684,464,615,348,160,168,152,694,195,323,886,951,021,276,563,489,021,
842,004,067,513,494,965,458,223,302,622,306,876,629,384,366,250,642,285,079,
771,882,331,263,879,886,767,273,408,013,606,259,289,300,429,826,214,645,751,
960,080,995,874,016,657,607,493,181,290,303,200,283,219,018,499,292,164,573,
653,585,638,214,055,440,469,004,958,028,158,051,861,466,076,737,462,108,823,
649,427,136,572,581,640,175,896,817,336,937,370,270,385,491,654,715,408,833,
738,964,830,998,917,281,324,666,794,631,740,395,211,676,652,601,472,909,116,
918,531,672,272,572,886,260,895,503,246,374,833,200,955,581,017,903,212,244,
517,851,641,140,846,409,543,291,005,137,660,558,420,016,374,216,277,167,471,
527,949,089,644,350,235,533,919,349,714,634,603,860,165,525,183,242,857,460,
664,352,587,018,594,236,332,598,664,280,359,139,956,970,091,378,079,129,570,
590,185,265,430,762,306,694,824,426,977,306,583,015,550,466,488,542,597,626,
252,854,691,131,143,390,998,097,547,991,990,535,342,527,229,584,027,367,009,
302,848,009,308,708,119,600,997,231,330,166,649,409,618,542,270,860,379,317,
009,366,619,627,412,683,399,183,167,148,756,634,182,198,198,977,451,499,637,
087,865,255,055,667,790,622,632,336,085,796,176,064,014,969,938,517,065,570,
806,432,432,377,630,634,060,971,380,353,153,142,526,858,658,619,337,413,623,
160,875,367,039,593,927,768,834,617,048,971,907,130,912,473,507,158,999,745,
509,317,022,106,054,016,222,713,280,749,768,468,674,717,669,528,348,764,458,
315,158,272,634,534,371,021,764,411,270,539,484,980,328,564,500,745,540,533,
454,198,118,211,335,556,688,378,904,158,099,568,370,440,868,499,640,455,413,
702,470,954,214,934,722,689,641,231,938,906,296,856,643,846,448,917,264,023,
404,308,020,167,981,052,789,316,791,800,125,452,965,967,075,625,749,368,741,
084,118,953,371,888,143,620,301,114,661,306,280,071,984,761,560,332,000,937,
587,033,857,817,760,513,366,799,077,439,661,147,261,679,115,686,894,977,123,
344,168,222,589,382,640,796,513,442,702,230,568,895,919,124,997,589,850,769,
177,670,892,432,106,230,448,210,372,078,902,666,167,414,610,752,154,822,950,
049,590,054,883,753,117,426,860,943,460,261,284,023,437,201,662,117,544,845,
733,441,617,370,776,084,029,243,528,662,900,073,310,767,463,484,519,437,241,
699,032,046,399,614,351,186,541,138,637,483,963,013,146,294,230,955,686,791,
667,018,168,853,074,301,968,110,072,360,131,669,827,088,367,171,654,656,420,
122,502,517,802,612,351,629,190,237,278,789,455,023,319,650,604,105,682,971,
717,061,464,280,576,963,332,912,182,377,253,497,580,532,208,645,636,667,923,
135,435,714,133,874,255,183,036,767,564,047,973,171,629,159,977,238,822,443,
592,501,239,248,224,998,414,322,046,369,187,131,624,279,296,595,273,028,401,
610,114,672,756,342,427,041,375,418,921,372,069,779,467,699,432,482,408,101,
506,414,029,035,582,791,704,520,512,287,752,957,854,667,915,416,500,244,274,
177,606,235,801,688,305,967,078,207,561,059,977,769,421,642,701,462,343,909,
964,555,641,605,817,677,215,952,739,113,193,865,756,653,275,050,619,420,112,
796,105,849,782,218,690,386,037,148,075,240,929,460,600,174,681,100,915,413,
243,250,011,957,462,819,654,466,186,242,286,864,232,806,890,533,804,984,785,
902,157,022,912,067,777,330,735,253,510,924,144,080,612,225,287,447,638,550,
488,539,033,547,488,452,543,584,289,055,003,663,175,258,388,826,628,148,013,
033,100,635,953,350,066,491,502,883,007,634,798,142,283,972,559,536,819,786,
977,250,865,552,005,011,196,790,951,757,181,851,695,232,924,868,275,964,198,
134,515,560,502,912,874,432,746,676,199,929,504,396,384,010,569,799,276,317,
525,865,491,099,328,386,352,991,511,596,316,464,824,214,452,921,400,085,960,
790,732,919,837,749,495,458,626,049,158,115,363,246,166,182,587,721,311,682,
566,447,137,949,054,791,647,720,883,882,466,464,696,441,485,807,593,702,911,
959,123,216,653,196,316,551,721,080,743,558,858,200,505,704,136,298,007,390,
888,741,766,787,970,189,687,961,704,203,607,821,089,684,024,666,406,213,319,
645,006,310,360,203,379,457,755,341,879,338,851,832,081,658,112,402,495,294,
977,940,326,003,182,992,023,862,024,868,696,912,116,945,657,738,436,804,679,
662,586,420,287,475,672,758,970,097,425,963,877,355,629,786,192,471,202,522,
555,444,497,635,476,949,720,119,649,364,561,914,705,266,919,894,454,890,606,
888,091,674,989,232,358,441,247,516,575,692,047,330,351,642,086,170,118,401,
056,063,095,420,671,184,996,846,608,367,105,179,002,981,249,248,516,153,882,
684,048,541,032,438,708,469,925,452,131,353,280,586,682,636,375,756,848,843,
927,211,598,430,518,949,376,911,691,510,818,504,496,753,064,065,482,483,922,
085,715,624,588,625,909,458,740,380,451,117,772,767,472,413,947,554,274,195,
489,490,236,775,427,161,746,062,606,995,676,417,757,293,519,176,171,789,269,
128,609,110,341,774,918,371,902,221,271,516,408,238,907,758,649,719,363,304,
773,870,389,955,764,265,137,158,811,074,400,790,128,861,242,601,724,848,833,
506,348,151,571,736,716,824,800,401,922,595,635,957,391,621,227,845,894,076,
227,590,172,263,232,153,184,799,067,959,685,941,932,947,160,067,675,875,231,
383,249,908,994,154,682,629,835,862,679,995,884,255,833,004,485,610,416,656,
767,527,383,824,747,877,623,157,052,429,776,036,464,653,224,704,864,654,227,
236,601,037,758,752,148,602,963,874,825,936,504,010,094,213,269,337,310,059,
165,105,158,964,353,464,081,597,117,837,904,020,500,795,035,163,881,344,424,
381,670,984,139,469,609,908,303,673,057,835,510,559,995,666,184,889,171,950,
171,610,656,140,571,137,225,902,762,312,437,442,505,310,056,519,409,651,389,
547,949,294,044,233,499,338,939,540,029,208,951,441,989,838,400,323,795,768,
703,216,379,092,367,025,542,983,598,097,903,259,920,071,976,537,913,355,296,
109,079,651,446,360,291,276,567,110,576,274,314,538,449,903,193,851,853,642,
111,756,508,377,701,031,125,367,774,776,072,232,955,720,747,194,022,531,856,
660,820,097,425,601,735,713,821,257,976,481,672,595,480,275,166,968,084,144,
624,313,694,152,942,159,234,639,997,004,839,062,656,741,275,353,360,646,150,
384,467,754,134,089,689,229,551,599,060,516,163,641,689,116,434,614,995,731,
023,293,100,775,171,639,667,569,891,224,895,331,648,415,123,602,576,603,847,
996,617,424,328,473,319,162,933,283,109,574,531,973,766,195,072,486,249,319,
783,592,999,337,085,658,752,384,868,158,255,311,579,898,310,546,924,527,579,
891,838,041,013,213,767,473,747,769,421,273,283,457,035,301,789,591,340,278,
696,739,915,251,928,320,956,152,186,933,847,583,156,237,539,015,714,508,070,
628,140,840,376,858,659,760,823,555,990,362,799,480,894,087,966,790,632,214,
317,249,987,746,056,391,764,462,649,334,742,362,231,970,451,182,293,494,627,
620,479,692,224,417,409,317,253,113,156,912,067,807,436,999,932,659,064,518,
724,041,680,779,015,809,264,480,311,208,465,227,433,397,129,204,889,924,508,
649,818,330,691,743,083,668,202,805,168,416,628,938,799,336,435,362,058,252,
221,830,046,708,178,414,967,783,974,833,935,819,991,993,094,471,297,649,928,
842,923,860,605,543,926,858,088,350,831,987,902,394,078,070,368,595,129,980,
954,805,122,508,729,878,343,038,300,342,450,531,758,106,010,146,633,935,868,
657,240,031,512,569,678,553,457,211,309,977,006,787,348,708,730,217,115,956,
624,599,282,247,406,331,173,344,984,380,877,728,968,487,756,228,316,796,913,
252,423,978,565,703,628,976,694,963,939,140,619,162,654,096,118,455,071,068,
170,878,103,976,497,119,951,330,645,337,397,544,247,803,169,629,664,537,198,
197,119,251,997,930,542,465,046,594,121,274,978,848,411,710,155,522,279,770,
608,885,398,308,276,862,067,851,461,708,690,265,414,440,247,336,431,428,685,
153,967,510,330,529,722,279,421,725,284,192,791,934,837,728,193,110,098,572,
491,602,272,985,063,761,491,614,642,525,817,290,735,410,977,705,123,476,799,
450,648,241,070,561,578,827,388,090,627,849,556,254,852,393,516,393,245,811,
962,562,681,177,525,383,939,645,795,526,731,424,057,963,982,612,520,434,023,
535,801,644,892,934,947,241,623,995,637,454,667,889,647,086,326,220,673,580,
798,742,041,496,460,683,211,960,287,503,244,124,331,692,224,368,661,586,074,
358,605,725,256,633,627,712,446,446,646,248,301,743,062,280,604,939,837,534,
958,789,656,430,896,713,499,886,861,684,139,936,210,597,502,405,416,159,529,
752,858,516,791,742,732,116,903,501,803,799,775,597,752,710,345,791,021,955,
284,748,309,891,164,009,368,062,290,377,443,223,653,577,209,558,826,570,348,
580,693,046,608,669,530,608,670,451,254,566,919,149,800,799,860,401,383,645,
069,209,032,568,375,764,020,598,277,405,065,221,157,119,368,308,869,891,903,
296,243,892,097,780,347,598,373,559,142,812,829,297,637,456,333,022,752,052,
521,066,312,341,068,761,287,608,201,995,861,677,635,737,482,938,314,033,310,
370,779,780,024,514,591,547,698,783,408,686,082,814,921,238,604,843,460,055,
029,727,769,703,379,385,319,904,985,582,741,495,452,164,773,655,438,505,987,
604,181,529,599,730,570,197,812,778,776,740,936,941,394,924,963,545,312,999,
734,310,627,400,404,690,425,383,034,083,190,980,067,307,434,994,482,120,072,
283,435,258,395,825,133,859,944,756,552,989,230,468,965,504,355,690,689,319,
148,289,316,727,065,785,531,878,933,294,452,501,268,972,841,856,188,996,284,
871,021,801,851,125,108,011,145,010,606,443,459,576,721,226,002,655,455,124,
712,489,249,456,094,785,729,206,029,953,776,410,145,695,950,932,235,515,828,
569,367,251,514,667,461,004,462,634,525,270,102,591,119,104,620,988,328,700,
911,093,414,430,259,431,051,296,512,445,585,229,038,823,884,443,782,052,640,
570,465,084,152,024,409,203,923,173,584,581,150,270,586,746,144,996,146,077,
713,212,181,345,416,769,667,239,861,504,804,221,674,271,722,103,779,252,303,
473,615,703,832,057,013,210,757,548,924,986,236,689,840,102,102,306,327,846,
166,823,013,646,609,903,169,435,496,327,394,006,752,658,242,835,470,257,402,
824,565,733,678,220,226,965,168,207,004,151,709,695,049,406,882,100,600,406,
305,498,427,647,661,896,248,355,510,681,342,049,341,453,554,162,744,072,286,
626,408,759,116,918,738,003,267,108,876,899,462,782,421,911,508,825,040,621,
958,488,221,199,990,202,144,117,516,397,846,605,954,283,617,663,512,040,930,
740,960,352,449,229,913,627,691,920,430,915,576,389,556,936,327,647,825,034,
917,717,716,904,715,004,757,908,279,538,023,788,999,390,310,700,550,821,834,
574,440,008,233,722,705,931,216,653,522,287,734,948,894,851,680,034,327,667,
903,061,682,204,732,964,364,598,678,686,921,710,823,991,705,744,334,960,734,
476,282,104,985,251,245,629,019,563,821,129,612,372,595,263,818,648,915,117,
174,299,939,533,341,786,784,903,777,432,570,260,530,976,397,130,147,970,034,
222,267,056,609,683,585,433,934,032,508,489,214,256,252,312,809,259,543,332,
238,137,502,507,521,725,022,517,200,303,322,657,952,727,823,299,706,643,330,
714,891,467,405,005,708,127,560,469,466,284,094,575,445,475,057,604,449,976,
618,994,700,870,575,035,028,573,213,660,031,566,001,048,584,363,259,496,380,
104,083,482,564,225,756,395,462,287,621,622,590,873,352,208,226,949,368,133,
606,132,345,322,234,676,761,748,688,015,144,785,837,484,556,506,104,990,498,
613,179,304,751,730,690,354,426,574,991,978,487,536,708,592,736,051,990,555,
426,195,292,619,678,314,245,935,064,834,274,270,786,386,988,717,283,796,838,
144,122,991,177,609,357,520,899,530,504,249,737,334,888,571,701,511,306,894,
890,042,419,841,183,026,136,310,673,334,532,673,278,223,736,026,740,495,285,
002,803,077,002,870,276,527,237,134,071,754,462,123,067,283,639,543,130,840,
214,574,948,940,015,189,649,837,993,208,803,908,473,907,388,902,874,809,609,
936,569,101,191,114,629,528,113,937,277,312,603,995,019,499,599,425,230,128,
212,121,780,582,698,879,085,546,071,372,745,446,594,367,444,582,229,218,242,
016,779,669,322,656,263,736,726,584,589,874,909,980,673,194,393,983,767,023,
016,673,023,123,517,181,990,030,641,073,203,821,392,573,177,267,057,536,146,
654,318,433,965,215,752,200,045,618,616,577,744,548,943,625,047,651,757,267,
770,160,187,341,272,907,975,609,946,365,924,989,716,758,495,715,892,406,040,
322,025,135,730,577,944,439,031,514,814,902,125,102,682,474,518,096,228,908,
402,986,598,710,005,082,512,102,284,189,398,917,413,712,855,520,753,750,788,
399,698,655,712,276,403,464,487,559,653,379,383,582,144,921,688,388,025,918,
499,673,771,397,792,816,632,965,272,314,164,871,100,756,337,689,818,604,734,
912,886,525,242,593,865,739,090,329,157,903,294,158,519,126,463,664,915,711,
482,279,513,064,491,282,256,496,497,378,596,818,238,599,848,129,794,517,632,
709,414,938,263,648,898,020,672,194,335,525,029,291,967,953,120,333,434,484,
309,616,042,490,884,897,243,051,437,410,717,934,066,540,808,190,052,675,205,
206,240,236,422,677,812,639,123,290,011,621,030,202,698,357,713,889,812,698,
747,492,477,132,068,864,560,091,489,607,885,045,020,493,210,977,178,389,141,
501,721,198,886,757,627,771,213,690,570,116,189,826,182,103,839,712,321,561,
502,752,097,887,229,894,984,963,403,068,903,170,377,431,455,721,400,480,569,
607,177,994,438,987,304,313,339,259,749,008,538,971,401,101,410,888,327,371,
885,040,089,841,310,030,288,033,014,933,074,036,607,168,894,864,463,145,565,
712,476,238,217,103,173,639,254,063,037,765,470,568,802,293,531,993,306,836,
561,346,318,918,181,133,540,379,090,892,877,794,093,166,302,973,025,520,956,
082,203,380,132,985,418,379,791,606,826,556,088,990,744,550,364,493,792,451,
263,927,544,074,166,744,295,284,193,067,468,374,298,765,636,170,129,884,754,
485,863,532,765,287,530,095,210,471,588,015,930,377,099,782,032,432,038,882,
760,942,472,647,700,687,653,832,718,597,920,680,444,978,747,776,141,888,449,
629,850,377,479,551,012,979,774,974,799,429,858,023,907,409,827,031,025,856,
439,453,231,263,173,752,816,880,316,723,358,977,207,770,941,558,504,661,784,
051,423,344,405,020,790,650,360,916,046,939,469,763,185,263,287,685,752,622,
405,153,538,560,612,009,625,888,559,818,106,619,910,293,930,404,007,639,480,
076,509,077,399,908,126,598,341,479,427,509,331,627,259,303,077,240,625,738,
117,402,995,439,773,232,313,845,995,277,794,066,257,863,454,460,605,109,095,
314,556,703,531,825,919,230,832,225,477,180,087,669,662,948,934,947,572,506,
649,383,861,374,146,452,729,462,176,248,412,518,326,129,118,489,121,890,645,
857,259,690,732,625,766,176,408,135,682,016,090,718,971,361,637,644,835,907,
686,656,541,276,219,869,225,964,223,162,373,989,429,514,305,463,986,219,047,
897,111,000,528,926,927,197,170,269,519,161,756,129,519,802,288,949,654,744,
161,140,642,093,561,411,427,906,493,887,405,501,345,314,697,250,911,582,225,
468,414,985,815,617,734,750,434,805,396,331,457,783,798,601,831,795,353,033,
856,963,903,436,940,769,347,722,216,874,827,944,822,780,241,024,967,934,246,
713,641,687,826,999,964,842,857,923,974,863,909,433,946,337,874,714,439,608,
124,587,913,811,853,669,802,792,496,422,230,124,272,502,103,947,287,369,803,
124,852,054,729,719,910,172,985,597,835,510,828,923,376,932,452,441,355,637,
813,127,258,506,478,671,104,902,935,509,477,390,068,058,072,278,599,677,765,
659,941,950,069,349,768,397,481,693,915,925,275,749,242,046,836,884,733,362,
165,018,662,960,208,728,095,474,797,481,897,497,516,498,169,711,663,653,631,
485,111,824,743,105,865,312,827,950,750,617,051,854,407,946,617,957,656,599,
017,927,019,196,868,353,718,713,116,834,731,783,389,318,815,831,414,504,572,
140,594,706,884,203,629,024,944,341,312,513,156,388,041,966,388,161,403,187,
395,277,414,617,088,018,347,197,151,540,568,288,593,758,136,705,737,108,837,
560,776,431,568,835,585,107,105,810,327,027,673,696,720,949,053,408,924,438,
784,765,326,914,590,567,234,257,360,662,367,219,814,311,280,341,326,963,652,
264,265,626,786,199,860,868,543,301,626,616,896,144,152,322,777,000,193,730,
455,019,819,793,873,906,258,852,224,324,328,798,264,052,265,062,410,325,509,
435,822,024,175,959,121,963,547,206,773,202,731,064,526,272,572,768,158,427,
095,391,388,572,478,770,716,806,466,937,537,942,092,068,213,103,721,716,809,
881,023,642,767,862,397,356,797,437,027,027,191,712,580,397,487,658,038,834,
711,307,001,695,758,483,994,362,385,381,440,293,068,079,801,487,169,432,913,
471,606,942,352,211,051,687,387,535,743,433,573,437,420,561,559,436,285,398,
815,867,784,463,909,698,052,356,476,899,485,703,537,202,413,005,677,001,931,
763,444,226,285,216,277,538,741,549,850,092,990,662,754,048,443,155,011,704,
306,319,005,131,555,127,813,809,785,550,016,306,195,545,508,412,806,335,641,
802,178,224,557,148,014,420,468,245,419,513,232,712,166,948,109,101,140,724,
416,146,973,197,042,566,456,733,275,440,042,470,844,153,125,692,832,170,679,
881,181,996,989,607,153,918,999,682,329,005,355,007,928,886,108,557,994,135,
778,001,899,507,413,499,763,713,964,965,765,913,697,940,037,562,147,678,351,
340,070,992,831,647,269,209,405,945,673,686,068,615,707,785,462,398,844,522,
138,678,864,666,687,164,299,464,618,382,059,872,550,741,637,916,890,548,825,
345,194,881,051,284,480,605,143,858,703,420,508,585,783,989,578,152,808,016,
857,968,335,608,848,833,448,561,923,391,442,366,532,851,890,226,909,798,849,
412,225,198,635,271,504,995,790,375,236,104,511,017,710,649,347,407,338,629,
288,619,091,681,169,186,848,065,796,805,275,423,148,232,203,902,732,568,356,
352,004,512,037,078,524,125,285,974,800,909,506,765,042,448,347,953,049,977,
305,726,509,300,100,619,232,125,777,469,215,790,314,346,664,848,399,921,636,
806,623,789,702,981,307,421,513,559,897,364,453,033,036,519,631,746,405,223,
065,175,630,877,041,673,143,383,691,668,794,978,535,939,285,202,733,680,004,
632,379,968,677,243,896,399,907,251,118,709,022,090,076,978,164,136,752,572,
626,812,205,042,927,223,177,739,661,835,307,220,042,146,024,362,034,938,914,
614,213,987,274,671,857,467,754,546,518,795,871,661,757,044,814,582,436,050,
758,749,013,010,773,225,562,956,283,822,273,845,892,640,207,981,350,973,892,
955,163,305,172,696,956,679,082,602,515,583,365,687,475,264,186,092,542,710,
981,590,156,230,804,593,179,827,382,910,956,249,112,923,908,650,670,398,792,
889,795,958,690,892,024,319,278,574,311,783,921,890,238,854,319,904,468,024,
422,548,757,131,835,218,727,387,038,227,607,185,392,757,344,097,809,873,968,
622,919,347,063,185,294,659,881,070,015,870,323,410,952,101,790,380,973,409,
289,076,718,136,206,699,649,345,117,766,373,622,728,178,395,154,568,030,985,
364,733,544,361,208,432,821,467,135,959,664,213,805,390,150,596,696,694,093,
910,394,782,725,360,994,939,157,978,798,845,410,543,663,746,657,900,924,803,
576,091,221,466,513,779,023,346,835,746,635,529,347,706,833,500,751,116,630,
919,142,685,145,080,089,221,610,437,536,314,066,257,130,303,874,210,825,075,
285,646,467,560,849,622,050,708,970,815,833,325,414,583,495,169,489,394,725,
708,885,013,404,699,378,657,374,270,234,631,737,323,400,883,665,902,184,494,
658,161,730,554,507,194,778,343,043,961,331,866,409,399,977,990,081,073,187,
035,435,337,421,604,326,073,167,581,996,728,571,389,558,094,239,442,609,390,
348,806,974,902,666,789,999,220,281,519,051,878,070,730,501,517,223,482,454,
963,802,079,486,540,373,940,749,947,224,903,683,110,366,541,043,105,297,984,
419,027,553,288,396,484,790,258,303,677,392,270,331,338,343,266,588,851,215,
787,892,938,792,200,958,401,928,400,135,069,416,635,569,953,431,279,468,014,
077,026,029,830,443,261,696,099,857,431,909,076,496,848,242,955,431,371,332,
258,593,849,695,039,145,670,375,137,136,495,978,111,952,326,918,757,504,458,
942,986,725,989,493,424,651,708,328,941,767,258,174,665,470,484,348,273,879,
502,462,844,327,822,607,618,296,311,737,266,325,179,771,127,827,656,313,591,
980,759,100,152,388,303,001,093,003,700,275,730,820,258,216,168,512,178,704,
117,834,094,495,557,552,473,365,405,379,785,455,744,797,229,738,892,403,025,
203,828,933,932,655,056,725,755,325,650,902,753,099,750,377,239,377,483,541,
627,745,978,376,939,161,710,322,777,350,175,334,472,836,343,038,932,532,118,
294,663,493,173,721,845,937,922,598,394,916,424,436,302,893,305,632,469,326,
866,814,712,852,267,364,344,543,230,324,644,746,243,877,121,673,243,486,680,
628,688,938,809,105,852,547,190,955,309,964,801,270,677,735,709,970,641,246,
678,095,834,648,524,934,504,199,027,229,986,639,778,226,332,833,154,229,310,
717,537,282,201,132,686,771,461,677,253,559,986,331,365,028,581,878,847,442,
033,348,972,216,759,116,728,953,168,628,225,370,657,411,985,282,169,742,823,
109,792,469,138,496,731,355,975,783,047,881,000,311,576,056,293,584,259,725,
509,327,406,165,273,769,395,933,748,265,077,962,200,317,974,341,950,001,643,
835,055,896,268,935,436,500,526,539,040,930,139,824,795,140,723,265,343,928,
236,237,990,277,294,557,432,736,817,917,339,272,119,745,204,286,423,517,970,
378,743,755,172,044,786,176,078,433,689,388,790,101,327,220,622,606,037,735,
967,134,477,673,002,360,104,065,210,685,001,625,504,280,166,909,711,400,497,
667,312,965,618,177,171,153,167,506,893,311,090,466,473,951,379,303,155,182,
288,070,734,645,526,230,091,573,571,970,398,677,863,254,302,949,643,998,115,
091,652,373,630,529,766,937,706,899,454,936,707,330,010,801,841,042,442,117,
486,506,249,195,741,877,309,494,136,716,780,991,615,197,122,466,598,186,618,
560,284,064,232,236,812,665,033,243,884,851,656,573,010,698,333,457,274,103,
272,456,630,784,746,229,578,770,250,504,448,590,664,261,205,162,877,670,631,
503,133,800,478,295,653,323,520,158,350,828,847,648,616,707,760,070,972,515,
941,344,849,526,307,887,808,709,813,696,200,059,492,581,999,016,030,468,364,
245,539,198,040,849,527,653,640,448,888,318,714,501,555,717,790,310,079,047,
041,358,481,289,401,063,390,121,092,559,562,573,096,516,985,678,670,641,073,
604,921,721,881,102,983,236,452,946,177,870,677,792,752,157,317,664,950,728,
060,075,623,450,766,211,822,600,591,893,789,004,820,488,824,498,297,467,624,
227,527,756,368,710,356,285,063,876,969,745,849,117,900,367,568,323,893,288,
282,274,474,475,286,698,113,730,444,855,479,791,888,849,947,783,925,356,344,
700,749,105,501,072,451,517,180,509,687,733,295,088,986,414,184,973,364,958,
840,587,519,533,183,796,846,687,832,408,593,063,421,900,746,800,800,445,251,
386,151,025,341,770,669,358,072,846,810,580,067,958,380,244,046,260,825,278,
280,348,726,920,552,118,687,783,136,499,987,972,264,430,150,641,465,266,301,
508,648,283,722,725,770,012,494,121,999,577,199,785,615,190,229,191,058,923,
536,034,336,599,626,247,459,638,275,761,599,403,946,507,075,104,385,872,618,
390,492,632,747,870,710,091,695,003,024,593,112,624,165,049,386,398,421,738,
997,845,685,632,743,107,211,821,444,186,552,317,902,948,875,056,590,533,386,
690,237,805,649,275,055,302,776,846,309,060,724,627,331,697,155,405,506,598,
794,686,966,930,184,523,691,653,489,982,761,462,842,814,050,147,204,601,582,
610,524,931,961,474,250,837,691,705,361,876,207,672,379,783,014,938,188,958,
046,528,217,580,643,803,174,598,067,020,107,037,646,050,188,830,752,128,452,
179,258,103,087,957,345,269,862,910,465,896,102,398,582,859,405,346,894,266,
918,909,359,914,913,410,001,320,803,627,964,035,684,360,187,913,588,584,267,
039,564,745,618,228,674,631,944,416,898,000,312,763,705,958,672,620,473,519,
011,343,244,486,051,783,932,405,360,752,399,142,523,542,430,555,836,651,671,
533,875,710,156,108,344,395,051,318,622,968,380,658,617,636,920,565,032,415,
062,873,502,776,970,831,099,787,742,809,843,460,413,270,307,586,021,892,381,
176,620,088,573,767,261,084,953,926,500,509,559,773,972,923,984,472,891,102,
365,996,728,022,698,384,141,553,236,979,411,611,970,517,553,032,660,730,720,
627,232,659,734,209,384,658,046,251,869,379,787,296,177,618,063,806,255,607,
467,462,941,514,904,911,113,246,627,087,036,090,604,623,792,999,450,664,775,
081,055,221,894,907,286,751,036,500,431,457,455,918,317,575,193,405,720,754,
800,122,370,709,340,953,650,635,895,459,975,977,652,392,734,216,709,142,593,
474,934,569,182,635,210,260,925,812,886,982,712,001,237,067,829,081,822,175,
435,318,193,044,465,591,505,158,659,976,050,662,045,574,446,267,931,725,806,
458,486,166,644,395,583,868,012,668,357,139,621,508,313,495,055,299,421,055,
538,883,325,151,451,684,539,110,639,327,845,256,840,118,936,447,756,564,332,
862,251,095,389,221,570,089,864,652,453,169,856,386,983,290,749,067,890,785,
980,165,085,929,976,630,668,234,549,214,119,353,844,404,248,566,219,148,307,
847,271,243,287,953,612,568,759,057,907,087,404,469,207,158,146,089,608,931,
585,179,667,686,570,618,324,369,599,135,584,976,446,886,060,299,873,504,062,
133,193,799,329,135,435,849,971,287,820,452,971,980,056,666,714,630,270,811,
761,445,445,450,159,001,227,932,244,488,322,640,365,345,976,978,528,600,627,
639,975,018,106,569,664,987,850,784,702,119,859,412,560,508,354,362,504,277,
493,326,647,552,130,598,769,825,114,714,622,852,334,074,967,051,379,440,501,
583,518,715,666,339,129,125,146,968,406,650,290,136,841,640,408,540,333,993,
988,216,789,455,518,951,415,699,512,569,149,560,752,090,667,696,719,312,252,
046,696,399,141,246,705,461,489,752,038,637,896,100,760,307,011,369,937,890,
560,702,419,858,931,056,461,512,931,159,901,618,264,056,638,036,881,111,125,
190,661,086,156,883,300,208,529,267,269,958,715,695,536,817,734,137,753,455,
860,195,734,468,675,464,738,514,219,250,206,314,907,316,422,432,460,127,480,
526,867,971,800,978,428,601,446,067,664,571,045,151,624,823,693,258,650,310,
650,046,595,631,484,684,906,905,933,047,826,499,523,884,520,301,814,744,128,
765,659,855,376,712,658,377,654,756,200,055,189,561,469,702,921,049,386,982,
022,962,346,561,724,175,243,307,289,472,593,467,811,729,201,769,783,824,851,
749,621,725,065,965,595,152,980,503,525,681,476,390,074,628,650,160,568,603,
022,315,616,537,474,596,428,609,296,258,297,428,123,873,196,949,909,881,389,
683,635,138,679,823,764,359,327,666,861,906,795,166,761,699,998,076,372,330,
910,243,303,073,060,469,774,816,417,376,895,638,677,601,531,787,176,762,350,
660,510,991,568,954,528,091,861,879,524,821,578,950,799,978,304,468,584,945,
758,037,317,980,344,833,516,007,070,411,757,725,795,770,198,441,304,206,855,
628,355,355,437,666,917,321,482,751,280,634,963,661,755,152,912,423,138,836,
356,036,608,265,450,930,847,079,659,888,661,316,064,238,110,199,703,472,011,
403,551,979,561,476,439,948,578,006,206,810,437,996,629,802,092,062,541,637,
101,427,216,538,573,429,612,746,115,481,297,616,551,635,905,989,671,132,672,
113,945,133,465,741,065,285,044,428,396,564,859,428,637,013,549,912,888,864,
569,673,586,128,083,388,269,948,622,416,350,330,776,614,254,500,417,143,684,
378,509,888,371,986,604,237,719,996,705,385,347,754,761,977,725,436,615,824,
293,523,436,560,387,931,376,685,444,874,781,165,402,681,662,110,636,860,901,
258,151,922,193,895,586,163,205,659,523,972,603,455,991,967,511,565,601,926,
124,545,175,560,261,449,267,981,843,032,627,845,359,413,312,774,470,555,040,
622,663,906,891,903,139,530,492,511,027,024,896,642,636,674,379,039,488,958,
639,254,476,129,995,381,459,725,661,702,272,035,562,032,157,388,101,245,897,
969,739,633,012,042,318,016,339,698,658,055,093,371,125,510,879,461,251,820,
209,478,163,803,790,806,321,547,015,077,387,904,901,165,026,645,413,288,309,
764,370,287,991,529,859,215,818,970,241,475,546,710,509,230,923,876,086,213,
206,834,428,617,636,723,819,239,654,737,077,040,713,969,891,993,002,457,798,
575,817,736,861,543,547,021,643,024,458,972,650,568,322,577,298,842,488,054,
674,550,927,138,638,836,084,874,821,180,901,090,896,823,413,343,489,016,469,
405,462,839,575,974,761,245,567,241,176,070,241,130,564,565,425,541,811,789,
268,063,617,914,699,136,544,356,002,204,195,394,881,239,215,756,023,078,305,
577,805,117,577,788,334,490,401,439,867,329,844,216,189,346,200,646,202,346,
154,478,604,326,976,648,221,890,840,578,068,827,607,207,838,761,987,755,422,
827,023,018,054,893,337,943,547,924,916,651,575,837,429,604,752,511,803,970,
561,961,542,400,859,218,255,532,460,307,620,632,656,545,844,307,677,786,675,
083,137,394,781,284,390,662,395,109,990,044,293,168,978,123,640,418,386,398,
696,329,319,348,363,338,222,363,055,749,251,729,269,728,874,104,629,582,197,
982,014,294,479,313,419,658,220,962,217,393,293,751,292,278,856,794,134,510,
728,857,990,196,157,957,004,203,346,450,867,396,476,806,256,481,719,206,096,
767,055,794,222,531,733,910,914,760,479,554,997,147,976,721,454,735,787,413,
104,221,507,376,040,607,313,644,107,019,964,973,022,396,181,169,445,866,474,
889,210,632,599,387,975,014,518,614,699,518,762,344,352,128,090,573,362,801,
812,536,857,931,879,360,547,819,804,411,161,444,717,025,266,085,177,744,013,
754,731,225,655,897,692,497,486,144,518,080,910,116,772,083,127,448,092,740,
204,067,059,229,778,572,753,672,163,080,323,439,403,831,480,758,447,479,616,
905,443,866,050,802,129,198,370,779,424,014,149,441,602,539,996,465,925,121,
769,227,605,155,050,015,852,134,722,229,516,874,410,257,777,930,912,584,473,
973,024,110,192,038,504,395,856,794,357,055,863,504,201,418,391,540,951,031,
832,787,738,324,163,930,407,271,381,912,160,564,056,129,160,579,703,021,504,
312,932,244,723,499,849,377,260,666,300,207,720,304,571,898,393,553,237,688,
324,226,365,922,436,919,935,748,343,560,766,087,559,966,016,771,588,600,191,
168,486,040,778,479,368,304,405,457,126,378,348,086,435,051,565,524,067,994,
700,463,863,731,888,969,034,517,527,003,730,980,086,331,587,232,414,893,280,
343,664,915,330,083,922,287,935,476,841,282,949,037,138,960,288,026,389,226,
071,949,850,557,498,227,551,408,565,162,687,600,459,379,329,560,792,735,711,
580,083,825,638,195,692,132,959,233,119,880,630,125,580,071,014,626,061,461,
212,053,910,308,824,051,516,152,745,098,038,181,392,393,195,842,242,821,552,
563,368,277,169,000,794,714,996,238,780,198,408,852,724,642,420,017,241,483,
926,716,567,744,677,341,946,595,888,814,337,237,449,293,747,246,617,789,488,
728,179,332,939,284,261,663,076,156,588,909,705,092,227,032,365,871,015,834,
051,894,106,733,127,398,246,301,406,892,023,921,558,702,692,713,350,331,046,
099,536,622,175,189,487,552,695,757,539,240,793,345,996,270,557,711,977,056,
701,466,067,705,636,750,950,405,600,581,448,363,941,597,310,667,206,958,485,
956,921,759,348,855,071,749,078,547,594,880,350,667,803,961,397,398,655,823,
808,973,255,977,396,940,762,629,509,337,667,190,396,827,297,449,402,006,017,
611,024,582,873,224,185,904,652,191,970,508,237,348,510,581,231,464,521,399,
715,524,743,981,568,650,903,747,373,180,937,519,667,844,426,687,684,505,587,
140,790,896,018,073,355,123,742,237,614,965,125,672,341,116,794,407,193,417,
207,058,767,190,540,676,343,956,152,157,886,331,260,604,416,612,536,779,463,
489,476,860,394,499,911,527,750,326,782,882,123,487,824,592,132,632,117,337,
405,694,974,734,126,012,579,364,761,126,430,124,264,398,238,125,851,148,156,
258,434,046,680,572,991,140,099,979,194,207,557,931,362,986,777,191,177,467,
112,654,768,408,209,701,160,765,028,168,159,996,541,349,951,787,615,757,888,
143,401,888,696,342,056,785,352,020,404,099,658,226,333,002,259,089,079,582,
197,417,705,897,057,502,047,975,272,652,187,911,427,283,627,515,936,948,255,
422,636,895,548,963,338,872,488,240,036,709,040,033,093,538,235,763,206,630,
336,995,597,232,819,953,179,340,515,747,603,724,603,351,926,131,589,628,515,
157,911,168,754,444,752,406,131,242,011,117,756,081,648,209,450,091,744,429,
175,090,997,095,869,752,018,576,753,835,733,923,663,479,133,324,657,771,007,
601,533,630,354,237,536,343,723,831,467,188,090,123,841,722,148,997,727,667,
938,716,951,648,890,576,251,214,045,746,741,399,363,464,994,649,214,240,684,
221,105,882,557,126,253,022,844,612,984,286,180,943,952,620,059,167,353,277,
658,620,036,485,198,672,390,376,668,650,878,658,053,274,965,119,454,128,353,
184,774,164,495,926,577,016,418,250,747,472,224,750,739,171,556,534,618,877,
393,332,479,466,142,412,037,569,368,248,574,972,233,690,602,161,462,804,839,
596,828,020,532,946,115,795,689,814,047,141,785,980,236,583,104,144,175,576,
992,885,539,616,174,106,179,040,080,986,199,246,158,712,150,545,457,579,126,
215,105,121,289,740,522,565,227,299,646,018,397,288,284,983,285,282,803,008,
754,542,754,699,262,135,256,530,127,682,173,536,627,282,200,100,888,764,495,
860,178,100,285,170,584,508,726,513,881,278,794,920,487,715,318,369,532,672,
526,125,679,807,203,519,708,545,538,847,555,162,855,559,205,567,640,287,915,
154,095,704,708,821,104,070,432,779,641,229,033,042,717,959,717,556,962,819,
310,697,538,441,551,720,025,662,281,844,003,124,183,430,933,426,539,721,856,
004,537,697,021,773,800,296,867,288,705,403,923,772,678,357,641,781,780,020,
796,054,064,863,093,387,212,441,207,210,841,288,968,307,289,592,335,413,745,
247,466,229,407,856,147,293,155,634,201,266,099,492,961,276,367,571,413,048,
044,804,621,449,468,325,375,621,435,564,075,674,998,788,677,690,106,534,308,
619,192,452,642,822,528,602,697,770,386,354,711,761,313,819,823,890,004,646,
906,298,649,528,996,017,221,057,901,215,493,478,251,737,288,719,952,610,243,
829,943,992,559,395,560,413,289,003,025,998,054,389,917,602,568,724,455,144,
417,389,557,143,383,657,006,964,198,684,413,367,487,400,448,293,861,180,682,
879,651,900,556,069,389,676,888,013,870,058,735,705,462,103,106,548,277,927,
810,940,622,941,673,891,551,498,620,992,798,104,750,769,382,912,283,641,248,
982,726,305,330,354,212,344,119,304,463,071,696,475,809,231,394,250,457,991,
367,415,373,164,533,620,999,588,296,185,079,827,662,144,138,016,546,379,489,
286,646,462,547,563,481,620,550,552,906,933,636,281,438,187,150,833,878,436,
333,536,592,917,639,530,387,889,869,826,080,397,025,619,493,563,238,360,791,
636,410,161,873,079,271,122,041,580,414,634,766,794,727,865,973,673,740,964,
516,813,502,032,331,757,126,316,550,285,427,070,377,715,824,624,191,963,818,
457,202,587,607,109,094,035,571,973,579,568,688,499,295,918,218,017,868,671,
582,595,544,306,009,680,907,839,364,482,678,372,026,903,626,680,922,684,095,
615,037,662,273,785,792,063,660,417,070,302,901,746,327,373,937,678,827,951,
596,561,279,630,027,042,354,548,600,899,135,085,480,158,478,634,854,223,818,
294,426,326,210,440,986,290,791,449,395,788,429,473,303,330,855,998,642,916,
468,581,974,848,826,157,739,828,534,268,212,048,962,786,515,373,756,646,619,
351,824,633,558,821,773,776,882,477,321,844,017,696,380,912,209,614,578,933,
944,244,102,370,187,680,336,653,623,736,739,033,837,804,617,784,220,165,998,
618,547,640,984,523,049,458,015,461,581,222,979,218,995,683,180,998,091,062,
660,864,297,634,671,429,193,871,606,976,228,552,133,798,405,578,346,295,895,
838,847,132,291,138,500,360,246,456,251,559,088,520,681,410,767,118,447,632,
584,908,679,960,293,637,415,405,023,017,423,186,960,276,231,014,061,285,831,
227,519,211,317,381,439,999,288,992,707,241,423,892,529,580,826,404,351,736,
050,539,387,429,987,988,796,903,503,793,940,258,089,216,371,194,228,316,447,
347,177,402,537,096,555,766,001,234,861,425,816,349,395,190,524,960,179,153,
673,177,718,422,486,212,992,462,272,967,141,612,526,111,458,218,989,107,770,
280,296,164,345,389,502,366,912,119,513,666,655,541,489,992,562,704,810,263,
832,105,470,292,875,087,908,522,665,353,417,724,856,109,162,610,671,128,358,
202,719,065,725,997,220,915,080,041,836,548,785,947,669,463,056,427,032,316,
059,826,949,455,690,765,704,456,856,720,489,218,636,246,316,777,085,789,683,
446,314,868,890,444,611,029,157,289,318,297,472,107,421,710,894,211,799,744,
154,456,033,222,101,516,153,523,781,473,896,767,771,987,988,490,646,133,484,
624,695,263,181,610,784,221,363,405,723,828,207,361,066,690,968,053,639,888,
278,315,996,026,068,735,543,238,798,641,052,155,754,571,112,647,767,479,973,
283,397,381,270,536,161,910,559,636,171,807,156,321,233,279,231,776,738,921,
792,153,005,418,592,581,782,524,874,255,432,889,677,561,727,545,264,082,432,
350,074,359,812,320,341,182,766,092,278,451,638,825,096,094,145,070,125,079,
907,159,786,853,654,895,875,204,167,958,955,708,783,557,405,262,466,829,955,
435,699,751,275,305,228,499,916,948,897,356,862,930,612,681,866,421,927,214,
939,126,554,056,298,357,057,401,978,325,784,411,118,389,081,279,010,813,855,
022,269,428,570,272,687,294,535,309,769,020,810,049,091,045,220,756,212,001,
661,670,511,732,889,855,451,048,751,786,388,701,123,989,035,624,218,642,370,
982,532,415,234,788,175,893,569,643,986,613,675,868,881,627,792,062,015,947,
229,362,121,782,856,595,155,174,035,559,542,615,957,045,868,784,261,217,765,
236,170,756,567,710,289,819,565,602,035,606,995,297,195,489,343,375,565,261,
043,528,709,506,230,076,862,761,716,291,523,730,774,785,138,191,228,384,784,
247,973,883,554,017,078,824,198,775,023,803,309,214,664,674,069,275,219,067,
270,076,960,423,125,336,188,980,935,768,370,803,840,025,760,043,968,820,755,
267,179,961,471,421,022,517,293,820,347,211,958,053,497,179,671,852,379,197,
097,855,590,356,323,825,697,273,691,720,246,409,308,300,521,229,752,040,210,
142,319,304,582,503,151,157,814,789,828,631,051,604,102,981,809,468,411,109,
918,258,611,096,873,311,430,476,283,428,983,080,717,928,623,518,380,623,392,
264,654,815,086,221,090,666,128,705,477,408,904,029,185,322,426,386,487,674,
209,116,294,523,485,551,215,474,810,544,242,618,377,557,296,857,738,830,062,
410,213,867,772,044,493,072,532,654,359,014,224,080,322,038,092,289,570,858,
740,009,770,354,818,068,977,233,323,113,555,903,593,972,705,886,968,085,431,
756,239,058,575,094,810,434,187,452,274,779,624,355,111,908,155,123,896,807,
042,619,318,489,067,283,483,688,348,076,853,747,708,559,713,122,239,704,643,
294,991,672,042,625,985,893,536,595,087,177,744,077,951,421,185,757,224,425,
772,742,106,044,750,553,246,854,828,930,048,969,370,002,108,698,428,712,939,
553,967,516,766,631,787,894,373,824,794,679,157,349,982,662,317,370,829,240,
628,978,625,533,939,296,394,185,527,249,466,452,680,408,536,558,122,011,500,
702,467,236,910,864,340,692,305,437,954,744,909,065,252,039,107,733,303,793,
159,349,253,842,360,270,448,924,951,655,647,337,910,114,661,042,290,115,737,
910,757,160,847,428,337,497,652,398,612,101,434,699,493,722,357,384,414,104,
083,963,399,239,123,005,757,057,384,825,445,566,168,983,050,847,598,652,329,
543,038,691,099,320,065,848,331,557,835,088,430,104,603,831,031,958,755,619,
190,989,776,957,905,385,892,070,856,938,378,787,473,007,856,818,742,188,686,
989,144,246,941,362,685,859,467,812,912,891,281,446,174,230,547,674,196,624,
563,520,433,416,394,322,875,697,646,304,995,119,047,121,733,685,985,022,022,
912,913,066,649,003,191,625,848,635,505,257,871,623,962,930,434,735,727,211,
172,182,145,243,911,382,331,547,086,672,346,746,884,498,676,937,378,970,762,
339,171,441,941,610,680,131,820,649,030,569,434,442,055,868,911,106,521,178,
109,815,891,183,046,117,574,267,478,387,481,338,528,193,360,503,211,103,964,
791,463,455,159,401,488,644,127,777,257,719,907,243,056,184,649,462,909,587,
331,290,244,897,607,585,900,015,351,403,690,257,934,768,137,318,326,475,846,
704,150,141,493,712,917,707,261,969,288,311,488,870,207,141,611,701,973,107,
839,398,336,877,332,100,860,928,455,519,229,823,165,490,996,287,956,175,253,
991,091,016,472,572,550,922,845,438,459,146,246,191,274,588,990,049,708,926,
906,251,659,285,279,712,897,173,411,105,146,365,952,459,151,947,270,242,488,
038,756,825,699,891,335,487,674,105,302,224,787,183,598,075,504,465,349,207,
244,703,730,313,171,830,547,152,628,400,399,969,618,190,754,159,293,864,470,
515,170,495,510,346,399,694,770,757,162,829,080,280,825,639,211,954,030,275,
530,908,423,021,932,785,923,955,207,754,877,017,800,775,162,953,115,637,541,
843,772,781,801,385,624,546,590,697,992,727,547,272,931,444,584,255,331,709,
723,788,842,835,906,782,196,732,089,479,843,998,826,958,008,434,859,459,517,
494,941,833,988,948,224,114,258,334,071,140,336,535,133,960,760,786,918,686,
977,673,063,470,387,891,569,102,342,999,522,798,481,342,511,454,563,021,107,
958,459,093,666,877,451,043,677,852,551,608,873,419,260,078,984,772,743,035,
927,292,810,007,931,336,801,627,348,487,385,029,999,541,884,695,852,576,956,
917,019,075,613,726,048,027,462,994,048,459,141,632,684,188,777,809,123,229,
253,186,599,738,474,319,958,883,542,139,941,748,965,014,020,859,491,400,295,
977,417,914,933,368,562,867,376,014,081,859,167,945,253,381,598,045,668,023,
264,539,707,010,718,192,827,019,537,492,803,013,186,631,495,088,094,075,489,
700,268,854,040,247,194,016,461,606,491,361,200,059,265,186,887,055,670,928,
210,598,810,753,058,610,255,253,816,688,565,071,889,899,825,099,207,482,836,
580,894,392,328,169,179,579,962,561,543,863,851,978,691,117,225,456,140,613,
641,001,157,657,433,464,619,805,010,423,511,066,931,962,046,018,265,761,515,
096,772,767,599,407,271,645,808,725,607,101,266,217,620,495,841,637,102,546,
593,050,652,089,438,975,728,885,673,718,116,064,274,837,620,087,033,538,359,
323,347,509,524,931,360,387,516,254,190,713,516,884,620,534,781,131,674,477,
257,135,732,480,857,074,581,855,580,201,230,398,238,891,151,613,973,007,708,
081,234,656,183,771,635,594,281,997,700,083,122,586,900,352,048,628,658,696,
219,077,923,992,068,087,831,146,664,924,106,329,732,711,687,656,348,242,104,
313,951,621,994,914,603,110,601,849,424,797,359,891,217,459,285,722,368,827,
740,953,821,170,716,817,005,653,331,125,560,058,234,914,551,117,472,316,886,
773,685,726,635,056,645,049,386,245,699,237,740,094,600,283,781,964,860,168,
257,217,651,667,481,318,093,467,718,587,380,441,137,374,784,724,562,490,586,
344,470,714,276,860,200,370,227,846,527,356,513,412,632,225,629,391,342,741,
785,282,264,319,753,945,176,270,754,512,998,668,344,608,340,832,568,380,840,
572,777,524,202,964,029,185,078,979,464,790,289,890,693,042,923,294,878,832,
811,484,087,558,618,605,637,063,882,285,265,210,351,225,424,271,120,794,113,
425,063,231,048,202,642,843,526,785,605,596,045,678,927,794,194,288,301,162,
299,149,859,592,427,505,556,046,577,376,520,750,450,065,344,067,896,474,054,
936,231,663,661,773,407,751,242,989,805,056,620,726,947,126,024,280,304,818,
482,569,089,000,177,640,971,888,195,464,719,478,629,453,909,806,909,861,921,
761,999,285,097,501,328,556,979,356,758,750,559,534,967,044,738,908,542,890,
387,849,269,174,499,107,192,479,857,961,355,584,530,090,434,517,465,077,930,
096,274,914,101,095,746,089,175,035,401,973,886,521,843,366,774,030,218,343,
584,074,161,964,468,829,417,087,737,160,762,661,722,441,645,134,151,730,496,
256,420,864,378,672,592,174,249,271,491,506,492,578,131,150,518,621,673,594,
303,554,530,826,036,982,397,972,270,961,528,749,836,408,030,493,776,818,529,
027,993,993,486,368,035,522,659,367,162,347,500,819,823,041,064,589,874,172,
523,225,694,712,127,555,226,509,991,945,906,201,494,404,719,625,581,896,653,
670,133,051,951,578,558,013,558,129,337,189,331,301,889,696,740,250,866,199,
994,133,741,252,290,844,319,990,022,367,009,688,369,727,114,602,404,162,531,
953,084,972,605,478,712,887,547,938,353,077,078,055,917,747,382,591,273,529,
863,366,176,742,933,122,922,915,343,337,382,621,680,530,136,287,760,299,138,
455,472,409,793,915,623,451,653,472,648,714,978,485,294,167,799,766,844,728,
962,872,520,757,165,719,393,675,501,156,998,332,502,887,627,122,113,624,249,
233,805,920,786,069,639,640,902,290,787,022,801,874,653,467,602,244,189,900,
873,205,092,811,876,741,507,371,147,900,138,461,920,093,170,249,008,735,683,
817,697,543,843,459,832,519,495,149,350,933,666,126,721,769,684,426,662,887,
508,445,906,503,785,385,380,286,159,514,212,992,407,477,662,252,934,085,675,
725,946,254,794,442,196,293,968,040,030,523,479,084,679,550,975,029,527,203,
897,527,952,555,612,633,545,038,002,678,943,107,463,344,826,297,399,417,849,
428,187,439,042,231,298,590,367,517,879,845,859,773,094,552,567,597,457,746,
622,745,719,192,595,831,250,931,373,262,078,426,296,644,425,860,703,543,372,
562,821,478,763,721,253,093,522,879,485,422,299,570,100,386,665,581,403,970,
685,496,895,795,686,132,737,367,294,756,136,438,816,492,251,477,076,956,393,
514,299,107,756,864,253,053,916,281,165,035,201,938,112,601,538,454,703,669,
421,792,460,879,810,678,139,546,144,996,742,304,336,452,248,377,144,500,504,
031,440,246,481,391,440,154,591,770,291,695,179,302,679,699,075,582,089,669,
739,928,951,886,896,529,080,042,834,108,575,185,127,514,516,559,399,921,780,
382,596,692,572,899,606,991,388,291,024,261,584,134,792,791,214,738,725,850,
495,134,049,197,279,707,170,166,807,650,217,739,139,910,786,807,051,678,694,
515,705,967,519,675,194,456,322,842,670,503,922,563,674,915,539,452,464,806,
759,681,032,856,740,436,506,354,880,416,776,838,690,550,570,646,665,195,147,
173,554,906,151,862,240,762,804,466,216,840,991,991,449,253,153,952,052,616,
259,805,767,269,792,468,387,863,450,437,178,983,833,560,922,551,834,692,909,
382,978,383,591,580,201,878,001,401,139,707,180,376,280,829,006,246,669,177,
470,064,636,708,331,744,634,678,387,262,453,949,357,003,082,315,814,076,308,
236,631,695,777,742,625,876,977,068,700,134,178,136,354,353,733,420,335,716,
558,126,381,976,876,102,515,535,791,998,323,426,612,486,622,381,159,717,985,
641,634,885,950,172,666,761,030,644,874,305,905,114,107,050,750,705,600,063,
390,778,127,157,228,947,185,498,501,251,092,840,263,836,154,797,722,396,688,
797,546,731,661,648,500,116,573,077,717,706,857,907,322,366,308,006,240,550,
501,546,028,743,262,386,559,192,073,890,092,973,650,604,797,335,418,267,614,
891,109,883,046,888,617,278,716,204,757,743,851,868,881,336,831,757,797,521,
066,386,538,770,122,961,320,984,218,471,773,379,062,664,817,724,321,861,261,
630,136,886,102,005,074,990,514,377,436,393,578,837,125,845,970,538,187,467,
990,113,674,610,682,926,682,388,021,699,030,131,732,335,986,531,653,639,250,
074,898,711,050,382,470,469,830,511,720,615,757,051,161,604,317,244,046,494,
645,820,276,996,115,618,471,193,948,715,869,807,941,156,129,954,081,677,243,
407,970,776,854,300,498,297,403,909,151,304,330,840,623,660,140,193,718,119,
063,750,949,774,046,795,409,870,854,353,708,666,735,971,823,340,970,882,724,
176,592,976,909,133,716,151,624,071,662,540,281,776,698,879,490,845,486,836,
849,368,381,129,291,933,673,144,195,644,097,926,384,560,079,170,713,967,449,
056,954,621,975,681,347,086,878,342,576,639,661,232,164,116,317,865,589,737,
030,683,785,768,727,304,297,654,463,315,074,629,688,455,594,522,972,725,545,
840,380,796,519,838,166,920,743,328,790,221,927,788,501,045,945,012,069,347,
558,680,649,854,001,430,963,050,316,019,730,481,892,772,302,947,854,060,774,
391,883,985,953,320,508,970,516,155,608,716,409,138,125,460,687,697,038,373,
067,967,337,896,505,550,423,747,975,552,481,778,470,785,827,782,290,938,434,
694,005,632,063,550,536,470,021,670,195,214,414,663,673,501,927,192,055,710,
895,282,448,084,539,261,002,437,183,532,151,109,519,646,868,145,959,126,232,
095,966,684,674,245,830,364,233,805,591,440,615,454,599,780,189,123,513,803,
697,969,842,703,470,125,248,762,783,819,756,474,191,822,462,808,390,887,003,
462,214,828,817,371,813,712,544,760,049,297,960,633,386,746,723,752,635,581,
551,542,378,148,046,154,588,296,880,782,801,427,424,724,056,231,919,783,917,
676,189,544,781,738,876,457,893,135,895,340,037,716,954,047,766,145,879,884,
169,020,069,736,173,801,493,863,645,806,976,047,178,873,763,114,411,967,137,
660,086,336,554,841,859,011,479,146,498,041,345,737,406,712,708,024,877,993,
090,990,446,576,651,933,560,690,120,874,644,435,851,472,892,275,875,261,490,
125,265,281,044,024,296,366,624,753,861,106,894,798,471,522,158,691,535,432,
822,549,685,318,616,729,319,476,846,629,624,217,446,825,852,460,205,362,629,
607,155,962,736,271,641,790,904,388,550,125,934,766,652,138,996,317,179,956,
308,551,582,404,583,712,237,835,334,439,848,718,638,173,673,668,680,942,910,
051,066,591,940,821,917,358,301,929,144,034,246,697,431,885,263,563,790,160,
836,042,306,212,417,082,111,997,431,941,417,554,204,761,551,473,619,989,297,
321,948,703,653,095,002,507,479,795,586,180,222,729,334,161,355,519,424,172,
308,246,269,839,830,314,453,441,125,936,964,852,178,885,060,106,529,734,494,
169,711,467,047,981,461,540,104,417,873,993,678,701,280,392,384,700,980,693,
669,207,533,654,985,020,228,177,943,159,254,195,689,630,453,136,200,672,318,
261,862,239,504,730,087,110,997,736,055,986,121,286,109,963,812,751,747,480,
632,318,867,975,104,214,128,797,657,606,423,080,561,784,649,363,973,969,237,
416,506,835,533,509,950,296,396,324,698,255,304,990,681,360,211,806,932,499,
677,820,263,499,466,979,860,545,032,176,967,909,031,979,211,429,201,276,414,
297,847,046,764,269,692,620,655,076,493,587,995,561,637,320,309,892,121,858,
739,925,508,464,143,835,443,001,473,130,847,093,063,683,067,799,085,444,270,
153,233,158,504,143,112,195,599,116,223,929,142,704,069,571,144,511,506,441,
222,563,266,199,513,922,013,439,099,374,592,379,040,847,980,826,802,071,168,
463,916,825,758,224,939,455,610,665,471,658,977,334,272,285,109,288,256,954,
777,962,827,459,469,289,004,109,024,012,606,276,509,891,468,385,754,002,614,
905,006,692,495,073,443,057,058,867,973,132,162,143,779,644,582,136,226,651,
762,896,119,327,499,466,674,613,352,825,628,360,048,486,133,916,685,708,968,
659,794,361,092,182,087,526,233,491,787,504,401,182,142,424,986,181,904,604,
329,792,901,916,646,545,098,726,939,535,801,706,680,192,608,112,427,360,137,
555,051,142,542,469,002,779,772,999,339,529,117,440,460,444,466,441,876,231,
144,991,815,160,521,746,312,505,655,467,787,334,361,689,862,906,914,096,675,
148,304,909,189,316,117,453,615,371,580,432,547,243,709,437,877,439,311,100,
862,682,916,954,874,890,304,137,682,007,876,318,884,562,241,606,802,309,751,
021,295,353,079,528,489,135,505,431,358,771,606,049,578,704,757,828,940,871,
725,597,992,021,009,837,705,071,392,860,108,603,915,069,138,282,383,196,928,
239,916,554,139,314,856,088,491,927,980,076,675,100,809,736,084,234,234,494,
043,669,138,741,951,320,648,528,618,875,054,948,125,939,550,259,448,928,946,
393,857,231,088,712,415,972,152,779,885,038,055,500,234,849,533,047,787,755,
191,155,139,841,951,629,187,002,339,468,724,844,831,813,328,848,877,992,341,
885,085,254,629,425,523,574,412,318,557,376,128,291,804,343,528,382,231,093,
257,235,700,807,432,076,568,273,161,789,941,322,486,452,980,248,022,827,861,
207,054,196,508,079,644,891,366,652,529,252,845,864,942,787,947,339,478,037,
550,365,467,783,397,122,776,954,353,320,041,178,733,411,806,967,249,421,564,
690,549,409,432,247,465,703,095,430,958,008,728,660,333,945,146,814,407,559,
012,663,235,807,209,153,998,742,651,892,487,098,552,758,719,257,557,847,058,
932,890,715,596,437,458,234,650,081,041,665,901,961,819,973,421,893,266,687,
001,577,392,813,717,968,763,626,165,096,568,852,404,959,323,990,061,230,170,
768,446,202,264,722,981,066,852,151,385,302,182,068,932,332,838,013,793,428,
811,594,786,196,891,429,778,604,621,574,918,046,800,289,526,608,882,035,500,
214,340,706,018,146,326,870,606,714,421,962,039,840,963,059,221,343,084,927,
537,973,027,854,845,098,683,109,134,764,834,525,413,509,058,929,209,140,105,
390,963,365,831,855,769,314,364,209,584,853,051,975,752,476,356,026,077,935,
998,649,772,399,719,345,908,775,329,452,587,224,421,240,335,559,407,578,186,
306,423,839,109,220,396,561,112,998,451,397,445,166,735,343,791,650,058,303,
285,964,634,565,961,127,287,723,225,941,742,702,047,246,951,152,144,140,906,
962,078,427,152,323,996,187,785,361,561,577,563,539,345,045,226,838,913,652,
750,449,225,067,919,559,129,117,554,441,873,367,399,776,924,623,700,870,243,
044,404,584,011,621,862,764,561,238,759,282,599,858,861,090,911,905,688,848,
869,950,214,988,705,480,164,154,092,200,909,830,560,175,990,659,276,880,583,
936,849,486,204,811,072,999,736,987,274,888,147,745,595,668,177,428,586,799,
495,962,068,014,889,474,876,723,060,605,500,482,600,735,324,280,924,214,689,
379,083,780,033,386,852,353,299,292,318,336,825,032,960,286,947,474,993,755,
353,092,244,573,720,409,268,547,712,953,730,072,119,202,112,597,454,200,304,
219,193,212,110,481,599,195,097,306,595,822,824,709,944,360,133,389,229,023,
578,168,086,209,082,000,562,555,414,351,689,366,948,848,528,299,795,510,915,
007,615,488,203,505,770,150,585,926,904,214,129,679,183,761,295,179,548,119,
722,976,780,129,823,538,072,814,973,821,203,266,069,155,416,646,513,475,789,
591,859,229,146,839,893,313,319,811,537,935,374,949,036,179,750,232,365,730,
081,858,173,408,353,081,136,386,471,320,325,006,896,513,967,451,553,928,854,
995,990,472,272,850,299,298,265,706,539,986,449,949,348,805,121,293,733,225,
706,325,869,140,647,753,256,560,502,492,434,181,961,538,610,142,450,553,514,
431,234,682,311,532,416,366,461,670,643,010,339,974,877,019,749,732,382,961,
870,563,951,254,871,540,499,099,655,250,061,444,096,093,350,691,223,809,006,
334,317,279,193,970,408,373,263,874,346,024,411,251,129,138,480,947,691,953,
693,177,918,500,706,467,989,880,493,748,706,335,432,772,329,478,466,034,767,
390,185,964,923,878,642,598,325,663,865,008,470,866,768,330,332,842,117,868,
778,148,336,032,404,293,863,652,430,548,993,656,429,326,473,403,395,186,598,
428,363,399,936,767,058,953,850,050,863,251,652,147,951,175,990,701,708,170,
934,123,285,515,152,183,104,996,048,038,743,928,686,953,735,531,424,447,085,
897,342,007,976,489,489,204,420,538,754,199,449,429,668,679,789,061,101,850,
610,737,905,365,192,086,228,320,018,424,547,249,923,858,772,336,140,808,171,
701,339,748,129,771,487,252,054,948,121,244,580,894,723,941,324,885,416,023,
170,247,319,405,841,464,486,562,192,441,881,048,045,899,130,018,165,248,654,
363,666,511,625,098,872,598,110,241,862,861,184,363,330,346,325,524,478,921,
518,277,601,363,823,598,695,444,299,112,535,034,184,391,859,615,933,540,459,
267,016,825,655,149,944,441,430,039,735,640,378,350,047,325,418,207,947,315,
792,226,746,504,348,892,422,115,880,561,173,002,914,860,717,432,025,387,308,
801,645,228,641,756,580,267,461,700,153,041,821,688,192,889,819,945,733,131,
008,727,355,169,297,095,082,392,498,320,160,589,489,837,238,895,617,624,750,
199,740,993,494,125,502,378,333,056,018,863,068,188,593,371,604,681,376,246,
275,806,314,110,200,647,478,885,421,131,870,213,940,081,134,392,224,325,745,
764,440,817,355,421,036,574,698,534,436,747,115,052,115,427,630,678,805,465,
386,332,694,189,181,610,907,618,940,818,319,083,860,191,461,986,207,879,706,
935,417,770,197,092,501,434,005,286,510,628,920,678,014,537,870,476,004,267,
829,054,116,057,262,734,181,593,052,539,893,357,100,014,489,691,481,995,649,
538,274,256,928,345,253,410,851,858,122,848,681,584,229,140,859,819,493,857,
066,612,045,993,335,986,743,502,078,865,524,022,663,546,161,679,136,718,958,
330,107,182,352,419,968,449,021,727,201,384,031,461,223,923,155,457,342,973,
142,631,674,917,368,525,931,725,076,321,005,022,001,200,124,366,250,576,570,
051,327,639,024,597,992,891,162,939,638,080,209,272,621,340,910,739,807,187,
984,822,558,922,789,613,010,383,498,097,277,204,298,054,355,726,776,905,673,
593,818,743,185,250,000,666,094,572,509,458,786,108,109,579,013,666,412,059,
155,200,181,482,562,201,153,506,289,957,694,074,852,109,671,466,551,787,614,
214,329,596,573,361,422,655,923,723,950,515,976,922,675,738,551,666,147,459,
105,207,022,231,373,949,055,357,964,718,125,778,064,451,355,064,621,265,293,
354,077,777,623,088,680,354,649,142,592,353,175,570,889,408,495,110,998,259,
306,527,260,460,696,414,009,361,011,167,184,241,231,107,828,700,284,997,841,
698,502,383,188,219,697,634,157,117,168,892,532,731,624,410,039,295,117,975,
664,369,635,426,625,897,696,242,846,524,106,371,553,109,605,511,606,877,928,
152,783,078,870,367,535,037,174,392,415,731,850,796,213,716,828,271,236,022,
375,648,239,547,312,022,451,166,214,101,226,897,488,828,667,117,595,012,426,
125,197,473,158,398,395,014,754,583,376,927,795,459,531,685,346,495,032,434,
495,914,162,207,228,133,375,707,203,550,299,825,326,652,613,666,821,833,411,
483,238,229,751,532,493,071,360,035,793,202,611,618,376,519,969,175,163,607,
542,220,294,521,874,085,764,627,782,776,734,268,801,156,273,820,378,105,918,
173,817,812,290,302,476,380,208,161,299,598,418,305,508,083,064,931,665,348,
272,147,244,938,047,584,033,115,360,226,598,452,396,196,605,878,324,734,158,
995,690,067,034,701,035,851,464,339,040,493,313,268,469,478,228,283,352,700,
773,568,370,505,964,850,661,269,141,146,128,653,916,630,391,948,250,727,406,
461,493,171,583,679,328,228,771,984,508,854,330,071,266,943,444,923,320,219,
029,893,609,191,978,731,992,633,954,635,725,704,675,894,412,959,849,973,136,
045,058,310,513,059,279,446,780,968,815,910,193,357,084,608,608,062,119,226,
681,869,096,569,874,173,194,209,662,087,221,385,591,522,659,777,814,463,722,
075,038,448,992,275,728,382,853,007,397,495,675,710,433,646,189,764,316,109,
582,433,867,315,559,045,928,588,820,595,523,959,615,304,389,602,485,914,365,
198,507,858,500,740,591,664,467,462,392,925,528,249,874,873,098,662,157,471,
154,605,863,349,434,256,450,636,239,849,437,617,146,332,394,764,062,002,795,
848,986,161,980,700,272,836,083,638,884,359,309,042,761,804,941,978,954,359,
156,252,481,249,656,113,214,017,687,859,838,224,321,850,891,767,334,110,569,
841,775,362,458,171,735,416,470,771,187,526,089,092,566,047,121,070,808,580,
389,591,618,300,779,521,350,132,642,445,816,845,245,408,994,431,356,669,387,
805,783,055,141,250,507,596,660,278,040,209,356,773,366,306,834,225,537,747,
931,916,079,395,941,913,054,363,800,528,022,105,816,464,917,183,278,665,335,
377,508,166,817,568,944,062,178,705,933,303,623,818,858,165,442,702,927,677,
704,043,829,465,021,349,512,138,523,044,346,124,496,811,962,481,632,827,054,
829,791,669,490,914,224,079,453,468,481,255,342,053,628,537,912,542,171,783,
618,438,750,234,708,998,820,592,878,194,672,169,248,738,407,920,979,907,261,
250,425,710,333,257,139,034,362,308,844,889,956,489,987,420,165,867,571,324,
231,943,449,032,990,359,354,642,206,381,205,724,997,002,994,413,914,021,957,
090,246,624,301,101,501,000,063,230,835,755,604,378,618,122,491,594,734,320,
988,853,218,564,470,127,625,301,010,706,259,843,598,096,263,758,965,540,649,
713,179,914,367,217,044,049,008,857,588,225,082,357,786,375,664,561,082,890,
926,810,871,276,902,921,334,177,472,561,631,493,114,723,793,290,991,521,556,
784,665,590,054,883,998,229,159,776,169,314,849,414,011,875,039,126,405,872,
539,662,334,508,360,007,919,286,071,018,684,204,816,825,460,804,335,705,596,
200,881,765,586,926,081,256,265,188,629,388,321,872,304,348,247,789,074,578,
485,641,188,309,926,267,268,148,916,250,510,158,955,827,439,069,721,859,614,
516,870,897,423,899,162,520,730,227,718,400,967,893,826,345,474,104,618,685,
583,685,545,804,384,641,161,313,084,867,058,589,571,917,073,314,081,518,567,
673,387,401,240,697,482,746,617,330,223,878,942,333,619,443,919,485,043,047,
176,056,269,134,077,866,328,769,665,925,032,142,203,866,243,604,733,531,847,
006,107,264,930,450,330,692,795,098,432,661,170,465,399,199,481,487,284,321,
351,062,136,827,203,058,249,941,416,103,100,291,152,956,615,749,231,205,178,
018,817,317,012,485,769,095,605,936,539,102,672,384,655,683,383,258,777,959,
275,050,051,845,095,813,509,067,556,348,122,995,228,798,206,430,231,332,793,
832,999,219,756,842,207,563,187,520,467,313,769,953,838,388,270,411,439,385,
570,035,584,703,345,319,424,095,060,811,452,737,547,836,154,328,859,297,730,
817,193,361,705,129,271,443,632,492,161,271,488,299,362,679,046,680,787,289,
461,752,811,623,237,065,545,525,827,243,993,089,785,393,928,745,721,938,684,
495,336,899,748,678,071,226,025,083,228,969,100,880,869,983,711,357,490,870,
972,745,197,978,375,692,324,820,526,895,256,064,164,259,405,759,860,767,554,
966,508,319,422,737,247,717,954,437,242,608,180,967,272,824,537,407,774,328,
375,890,352,124,845,796,215,427,625,938,215,439,836,393,369,895,018,807,330,
427,730,245,810,928,998,368,759,846,369,232,072,987,319,569,912,398,476,581,
153,019,949,258,278,162,498,139,036,454,682,398,055,825,757,562,377,390,820,
022,037,834,244,867,164,884,285,946,340,561,013,671,377,787,194,932,721,252,
037,725,752,037,338,072,557,269,522,743,235,628,335,799,971,553,472,089,311,
075,240,742,005,301,495,694,076,745,682,308,495,691,692,121,850,158,051,070,
710,535,147,202,656,991,556,004,398,991,157,385,928,194,279,683,153,332,766,
811,058,074,864,765,998,151,391,819,147,736,106,566,836,094,084,425,843,198,
178,127,463,110,199,462,190,929,014,842,985,314,107,837,074,505,556,649,667,
054,564,384,783,092,839,464,443,565,362,701,152,094,447,693,661,514,571,649,
618,267,056,422,751,946,227,283,219,060,253,971,156,096,084,597,264,164,726,
771,299,892,331,610,905,597,097,350,161,224,977,801,137,448,910,752,513,266,
261,167,267,204,987,057,406,228,922,910,613,468,025,482,837,322,700,467,492,
590,774,485,049,823,502,642,124,993,678,389,810,552,457,772,315,360,315,550,
735,991,902,072,052,080,399,209,451,852,461,050,392,899,868,478,107,248,929,
674,568,679,648,075,144,663,629,898,772,889,859,596,569,080,549,559,385,392,
689,229,394,155,890,698,133,393,323,911,248,428,694,325,180,109,436,813,122,
771,614,732,312,358,684,581,654,085,799,795,733,959,877,409,427,570,045,329,
160,224,418,530,390,644,381,627,105,094,443,374,736,747,115,562,921,937,772,
461,450,627,228,402,714,848,184,514,845,887,760,883,230,087,896,701,645,400,
674,489,576,449,601,202,870,606,479,728,284,820,142,639,216,008,099,707,226,
873,073,168,034,899,800,097,046,654,364,290,995,403,865,570,917,032,288,358,
584,046,879,034,566,350,149,460,748,003,471,578,585,877,387,223,083,278,670,
240,217,049,695,395,068,140,086,985,014,844,526,779,702,518,144,760,414,495,
682,567,486,555,199,028,949,055,490,012,055,237,790,705,188,119,703,360,382,
318,161,440,285,906,583,115,033,338,176,700,452,703,840,615,923,591,788,448,
936,154,441,478,336,893,670,064,309,157,907,424,702,289,837,251,416,177,448,
970,395,102,081,410,093,783,084,129,082,971,532,084,028,653,167,359,598,308,
230,244,235,478,240,489,588,402,080,903,866,965,399,538,263,086,372,701,334,
007,585,656,286,769,426,513,679,245,508,422,978,090,580,371,533,915,617,361,
636,151,507,443,611,204,609,611,508,877,607,536,815,162,359,954,617,050,267,
128,550,298,277,040,508,267,862,692,584,374,671,866,510,239,030,047,235,166,
832,167,579,541,187,361,943,127,869,634,724,117,972,578,194,338,971,658,804,
728,425,179,856,759,180,373,242,097,249,055,927,200,630,525,420,079,801,524,
784,649,516,864,595,890,941,582,959,453,051,646,943,590,341,274,718,841,449,
075,857,539,332,788,752,054,494,868,759,087,667,302,834,152,428,579,653,182,
571,565,808,495,575,930,632,560,729,680,251,739,329,186,056,742,963,256,114,
756,891,691,190,723,013,648,827,702,060,962,208,008,460,800,157,107,642,232,
220,281,549,940,359,491,043,802,411,725,447,405,313,367,513,453,909,160,318,
100,400,782,468,844,298,539,281,992,745,206,667,999,606,969,067,982,405,318,
420,091,935,267,828,913,424,392,970,421,487,246,688,271,387,064,857,753,938,
775,297,557,972,127,270,075,706,380,794,401,520,554,962,869,984,453,368,247,
030,962,282,260,181,388,197,979,935,574,142,028,762,258,733,426,187,980,262,
831,521,568,059,392,018,541,022,955,534,135,885,590,281,159,902,199,896,023,
782,372,866,815,226,366,085,524,501,117,103,144,731,913,329,472,680,102,873,
408,244,294,381,568,575,913,064,752,660,687,925,555,813,894,931,129,170,226,
898,846,708,617,723,405,601,538,924,905,583,586,010,417,505,550,396,098,350,
241,333,866,638,315,696,669,407,289,514,914,260,300,883,171,511,644,010,564,
710,101,913,242,656,748,756,849,222,206,536,216,609,334,564,909,946,534,005,
103,144,786,744,716,319,224,741,435,933,229,323,847,936,390,915,802,977,003,
031,985,075,602,053,343,531,251,315,665,109,706,015,326,931,437,134,555,040,
566,751,152,971,148,271,262,812,191,321,670,979,886,993,227,725,443,384,989,
584,838,219,801,329,434,545,364,947,086,844,934,901,232,778,801,117,935,646,
322,520,705,441,486,350,150,609,121,289,098,583,762,235,321,159,778,345,160,
562,725,475,138,767,164,598,785,033,002,600,975,150,595,132,032,424,868,919,
668,802,008,532,496,292,420,379,995,659,145,519,800,657,859,685,425,178,065,
117,358,732,686,550,982,088,396,670,895,413,925,874,088,913,393,871,834,459,
589,450,108,633,083,473,406,765,927,242,574,273,954,241,824,759,364,503,839,
134,369,173,855,360,554,561,144,956,971,907,372,240,195,738,585,585,975,890,
804,982,019,426,174,320,587,102,140,868,484,041,908,407,320,655,884,112,527,
345,114,039,851,388,711,043,116,415,916,841,757,685,378,433,093,087,514,753,
164,786,245,582,464,823,735,500,434,678,229,817,608,122,338,520,412,881,758,
341,025,068,920,873,223,115,808,089,022,722,674,653,545,188,551,561,657,061,
944,427,634,595,591,639,084,097,631,736,033,700,413,396,913,310,682,660,073,
788,455,246,241,240,710,107,810,262,323,973,728,856,672,217,496,077,937,161,
842,580,304,378,844,108,839,265,475,065,353,282,640,381,906,009,738,025,817,
627,286,474,049,967,619,900,990,800,547,863,657,025,810,110,590,686,711,118,
379,878,384,836,683,137,886,207,695,833,241,209,474,376,971,079,336,036,504,
413,341,730,447,462,942,706,893,182,399,980,557,377,543,796,943,479,917,994,
566,801,979,415,243,540,864,027,255,520,830,221,562,461,573,769,213,024,155,
475,263,147,531,058,624,575,932,151,930,166,511,483,490,744,076,974,876,488,
615,983,205,063,042,535,135,044,130,873,154,376,735,209,382,751,671,830,192,
204,858,385,360,635,394,794,538,254,857,611,754,033,280,157,185,561,583,210,
082,295,740,832,899,589,780,651,626,937,143,834,842,990,670,170,912,546,763,
725,429,827,617,339,118,867,253,338,422,950,559,123,507,060,430,880,151,969,
478,421,166,523,636,032,335,370,086,339,394,173,571,142,441,382,842,179,281,
195,574,579,261,844,053,130,793,337,243,884,718,683,506,822,140,240,511,592,
392,095,633,750,526,723,271,705,829,434,072,544,455,519,677,897,911,896,433,
824,906,926,996,524,810,765,509,561,340,543,426,663,920,807,488,853,003,029,
873,730,129,076,951,897,057,753,605,223,326,297,751,862,992,201,733,598,029,
144,631,377,316,431,894,622,793,229,808,121,559,729,590,889,835,264,507,537,
508,579,630,537,462,698,558,401,820,719,101,547,143,029,076,848,449,408,931,
577,369,864,360,018,363,077,503,134,235,837,801,629,698,392,066,571,484,610,
623,670,731,836,680,819,166,497,999,424,567,237,597,242,292,678,994,824,556,
451,968,321,054,432,800,788,756,680,537,362,294,754,687,685,741,836,379,333,
869,178,621,368,537,332,437,221,938,937,436,063,203,855,987,871,842,071,371,
478,927,598,112,058,642,983,813,119,732,738,738,279,582,603,896,749,620,845,
187,645,090,489,367,724,329,588,450,772,836,941,547,802,476,266,370,093,537,
034,070,890,454,812,123,466,045,067,367,865,510,844,955,586,281,163,191,474,
960,244,637,974,625,590,142,443,978,784,869,202,789,837,415,742,243,980,134,
716,062,000,289,307,418,261,395,812,587,066,152,811,151,625,004,690,603,632,
011,315,720,334,757,768,336,667,949,216,647,784,169,560,761,042,241,581,869,
851,332,074,942,819,780,945,548,336,508,949,567,358,577,057,382,641,095,010,
373,907,379,370,141,944,122,012,130,469,491,113,186,249,868,960,573,235,283,
131,405,447,154,177,023,954,375,352,227,155,640,046,591,479,129,851,210,824,
450,840,014,530,640,693,324,901,957,797,635,373,507,564,916,064,147,768,222,
413,849,701,456,408,573,951,856,325,610,362,772,802,852,750,228,863,383,083,
553,201,204,856,275,316,312,998,645,010,238,678,376,412,588,572,653,083,388,
161,104,520,110,037,618,307,342,396,265,013,885,699,456,188,655,708,528,166,
456,996,419,401,357,214,673,920,920,766,263,317,589,960,324,340,686,464,093,
604,851,681,904,008,492,848,991,864,305,295,980,029,974,250,560,098,120,687,
965,201,625,265,869,064,843,767,648,541,346,193,383,788,123,421,760,737,329,
679,109,298,559,114,725,257,375,778,471,748,555,712,568,870,478,673,047,142,
493,250,414,646,504,758,057,046,750,033,966,172,776,101,931,553,887,723,396,
571,297,576,178,087,340,372,205,418,386,094,803,373,191,892,722,627,964,376,
968,596,286,143,723,660,173,437,220,382,820,880,591,401,303,488,336,754,279,
214,764,761,282,984,260,598,883,588,482,366,190,014,078,232,365,008,537,435,
952,257,979,235,693,334,681,560,110,331,128,588,726,593,460,898,288,066,441,
593,742,379,005,871,066,091,351,235,951,581,948,740,046,736,787,977,951,186,
069,608,705,054,994,907,601,488,594,155,946,454,692,058,241,184,855,165,603,
735,610,754,971,307,501,413,428,037,388,174,711,688,678,246,519,863,727,944,
429,061,393,053,273,718,542,764,633,499,136,119,205,196,957,667,548,145,263,
250,532,030,447,964,775,420,766,176,175,937,216,855,436,375,837,574,824,200,
579,885,913,234,507,372,676,077,373,699,192,169,375,009,524,131,561,339,533,
385,027,728,095,620,910,138,906,153,406,850,048,755,692,158,173,014,274,444,
467,921,532,931,613,325,619,908,913,614,375,546,835,822,475,229,503,581,647,
230,891,218,891,111,731,258,975,313,240,361,328,880,862,840,516,758,320,431,
502,109,177,606,861,781,086,190,175,568,605,965,465,093,624,525,121,872,188,
936,500,433,068,077,296,687,397,540,373,183,343,452,695,265,826,865,543,475,
768,228,811,558,366,113,083,155,267,630,836,793,522,367,444,061,509,068,793,
283,176,968,564,311,426,245,138,557,897,541,958,602,975,742,349,069,518,992,
766,461,959,187,468,965,501,584,306,351,003,732,657,825,480,660,053,268,802,
840,648,335,427,776,822,334,187,325,007,808,715,022,081,266,890,835,327,951,
596,815,167,764,246,861,280,925,524,789,295,566,936,770,628,565,602,663,728,
388,158,530,264,099,909,473,208,848,424,054,200,249,070,407,416,453,096,516,
908,802,329,005,066,757,550,408,104,084,353,067,942,356,662,623,676,247,309,
410,732,659,596,327,539,050,845,209,060,319,337,040,267,940,897,195,230,687,
746,819,737,251,405,309,177,044,086,672,661,433,006,386,269,894,687,986,374,
847,847,409,324,197,617,775,239,810,174,538,045,376,667,738,323,113,132,097,
078,785,785,243,113,916,653,596,926,449,730,822,739,481,903,507,014,359,597,
016,696,509,246,926,726,960,363,473,452,775,603,078,249,003,042,257,662,988,
743,040,297,987,777,342,220,462,796,000,333,777,762,402,919,482,439,610,157,
492,095,912,773,369,742,772,206,839,125,503,683,418,525,843,432,385,888,780,
838,295,492,198,207,373,158,329,591,969,590,124,893,769,529,505,466,451,495,
644,047,033,612,873,319,348,718,615,936,637,734,451,839,321,686,640,734,604,
598,345,423,392,760,744,573,224,207,974,135,053,127,876,176,618,286,129,464,
943,516,583,484,848,638,239,367,092,763,728,221,127,402,700,191,912,127,994,
058,546,397,207,728,544,460,338,164,836,997,042,360,603,243,357,605,879,460,
441,460,832,887,593,907,014,349,239,292,770,816,033,517,928,247,173,402,195,
862,848,026,738,366,481,481,308,498,177,310,574,321,255,762,734,084,775,074,
204,786,130,165,108,716,458,785,108,223,758,553,907,418,113,312,894,305,847,
678,423,302,807,757,651,669,955,602,182,240,386,242,276,823,452,812,904,911,
637,673,702,276,328,175,119,932,203,996,978,432,288,503,933,191,159,030,380,
251,277,911,275,088,948,512,308,713,768,492,452,538,097,493,015,593,963,966,
373,853,818,997,606,418,636,845,260,444,892,834,034,956,627,023,161,941,058,
709,489,193,631,881,996,067,306,393,013,271,210,684,954,831,259,543,436,421,
831,452,353,350,247,493,080,086,783,511,097,554,001,252,578,321,803,812,632,
459,519,412,089,290,170,862,706,991,989,550,283,521,677,010,135,065,225,016,
880,309,234,503,700,244,028,182,228,926,023,384,898,439,140,428,064,732,097,
638,427,113,546,763,705,866,023,154,589,858,805,026,492,010,297,898,081,585,
704,249,385,491,586,217,312,363,096,245,469,503,801,507,109,952,171,191,188,
276,352,226,200,293,770,378,857,337,087,615,864,927,132,255,445,728,404,218,
490,459,694,404,294,945,942,347,806,713,869,966,130,615,467,563,189,362,840,
515,080,632,764,096,965,892,472,655,429,550,867,938,352,856,680,929,847,852,
773,028,482,980,625,750,523,907,002,736,829,964,676,214,585,832,137,096,543,
393,047,704,748,911,477,610,826,088,517,907,994,899,701,645,967,685,025,352,
396,511,411,421,533,844,847,941,626,460,269,182,389,850,041,056,947,517,595,
909,208,911,810,465,847,703,855,152,177,981,465,787,882,733,019,450,272,211,
125,780,491,721,352,452,872,375,325,393,103,151,974,373,219,899,880,160,400,
570,489,684,558,915,243,044,929,766,683,145,260,554,935,833,698,614,760,943,
007,173,113,422,951,923,808,551,882,054,025,974,791,481,690,109,117,997,754,
806,738,729,863,292,312,916,241,861,269,307,763,194,972,520,885,106,956,387,
497,477,360,536,667,921,947,584,347,078,155,893,512,490,648,481,920,225,310,
106,186,926,255,288,447,399,500,937,852,543,694,417,947,052,356,598,437,653,
552,860,831,358,572,908,981,302,836,816,910,193,216,380,702,777,290,166,229,
830,950,734,219,311,196,411,908,649,910,068,416,804,359,315,659,190,438,085,
959,111,755,354,006,708,821,964,846,582,423,823,311,118,904,046,856,576,873,
465,642,704,238,357,448,409,315,629,515,820,442,943,739,389,416,208,166,287,
374,834,491,534,288,514,111,352,111,844,996,265,135,162,505,518,575,805,989,
810,725,081,831,971,982,269,113,050,075,330,113,221,080,734,803,522,210,712,
601,066,328,276,215,919,507,989,073,577,452,762,887,239,565,238,762,402,228,
181,745,279,295,084,750,217,763,198,759,974,033,805,375,866,962,681,702,412,
011,385,407,511,800,492,446,519,464,931,584,729,385,373,606,681,763,887,495,
903,054,286,075,260,312,830,714,550,974,288,605,077,487,931,767,492,932,276,
606,043,813,472,713,390,522,278,284,299,311,840,775,218,777,146,712,927,626,
435,458,276,323,074,304,154,471,666,925,427,203,897,575,536,940,729,638,232,
908,403,427,729,809,882,923,253,078,348,332,063,207,133,003,766,867,866,585,
011,166,816,358,188,959,379,382,484,280,261,140,009,650,609,518,391,652,823,
330,232,594,208,127,892,949,300,701,944,119,455,208,717,570,999,717,279,019,
218,383,621,494,446,550,082,276,503,936,822,753,172,241,465,056,368,993,764,
423,692,893,493,559,226,557,803,642,118,623,418,405,309,796,704,750,644,450,
410,051,449,306,944,892,832,740,155,405,972,189,735,541,628,785,164,943,263,
964,158,769,259,555,867,810,191,763,578,669,454,782,989,540,781,241,526,580,
633,517,922,697,252,504,002,247,416,894,009,553,994,830,354,635,508,713,804,
426,863,309,733,638,591,491,049,429,988,643,800,446,058,258,666,914,064,600,
096,036,681,434,414,304,823,206,872,863,643,439,813,498,249,510,987,086,207,
222,039,535,477,605,971,347,313,039,097,890,490,955,942,048,712,203,241,194,
927,552,089,228,837,061,259,565,240,282,851,862,915,778,722,166,060,846,495,
824,913,128,935,238,916,970,758,311,110,782,458,284,134,068,130,870,090,731,
962,211,650,562,322,792,717,019,356,632,271,120,742,291,974,917,988,008,041,
622,958,796,024,549,960,786,815,272,477,380,256,725,139,014,977,329,904,902,
974,062,561,959,189,371,479,346,649,056,824,893,437,813,722,981,121,755,732,
108,309,171,506,286,566,601,343,979,684,393,592,432,209,184,677,030,675,444,
828,494,983,970,321,449,243,731,214,870,861,473,274,163,311,592,845,133,172,
139,345,141,968,494,891,981,749,402,624,168,060,769,401,394,478,187,582,019,
308,409,824,711,271,774,203,653,634,993,015,529,789,026,005,277,868,768,460,
708,327,584,474,287,607,319,561,053,321,823,232,488,449,436,929,150,414,220,
030,858,771,255,745,722,139,821,566,069,750,568,334,759,662,825,638,361,499,
894,931,596,056,632,971,695,782,564,263,932,968,048,548,300,062,055,001,483,
581,036,080,482,003,259,117,097,361,915,923,088,859,833,854,201,724,709,246,
063,197,158,099,065,123,896,997,884,502,644,929,891,943,201,508,974,990,570,
466,915,688,349,121,659,613,915,490,919,079,077,580,387,230,480,356,669,018,
473,020,809,600,037,009,002,547,000,868,584,671,139,691,083,349,349,240,499,
367,070,775,285,997,953,063,276,719,453,941,813,525,260,793,125,531,828,795,
937,566,702,748,101,198,703,134,483,090,576,538,672,950,989,382,823,425,462,
238,459,561,047,367,168,395,150,735,423,524,129,278,634,092,547,677,777,406,
991,631,350,339,500,692,665,492,989,893,115,150,332,785,969,616,389,962,978,
367,482,175,188,516,990,430,021,665,033,426,682,088,438,086,368,311,994,748,
124,587,317,473,385,905,834,690,391,116,662,009,016,558,714,773,143,583,182,
242,363,383,099,313,791,182,459,701,116,462,448,975,062,749,055,423,200,764,
968,738,444,479,503,187,532,060,768,444,556,700,122,224,317,590,932,351,803,
843,383,530,720,225,773,602,241,608,962,303,816,872,443,219,889,609,598,264,
636,201,000,584,576,248,081,069,956,382,732,949,586,815,964,449,053,740,243,
965,269,590,696,165,579,367,525,851,613,382,162,579,843,953,319,988,422,013,
576,602,284,527,506,349,683,548,180,280,203,116,988,980,358,381,051,052,385,
963,543,690,161,178,220,441,708,725,178,439,192,134,421,979,198,187,247,897,
408,203,666,630,449,558,623,124,375,660,551,563,895,255,918,835,078,026,110,
655,919,799,417,623,862,306,326,922,197,689,521,283,394,853,773,369,409,624,
588,722,188,877,857,847,136,268,933,620,939,373,694,832,324,371,727,773,758,
130,457,161,804,847,330,573,341,635,736,276,683,878,606,803,387,251,311,564,
068,270,657,369,313,832,116,201,893,093,884,053,767,252,460,603,863,360,692,
853,654,587,062,119,152,525,211,487,656,188,863,866,925,864,180,663,185,192,
319,582,700,367,234,273,484,178,925,054,409,712,108,370,926,842,276,239,982,
505,638,588,834,163,856,680,230,106,950,785,391,702,230,483,113,999,679,413,
428,169,479,227,577,653,514,494,147,798,644,650,782,996,953,658,340,633,726,
115,671,938,728,975,363,898,944,338,996,840,973,272,598,365,420,720,909,345,
168,570,876,835,553,837,968,131,489,634,458,862,403,322,655,728,283,490,520,
013,205,676,911,076,017,006,635,897,595,137,243,335,481,581,096,618,011,427,
745,869,928,855,785,499,621,439,474,971,694,610,876,893,327,204,318,256,162,
662,152,269,939,567,070,036,619,069,976,924,324,570,592,172,386,064,842,725,
262,899,702,220,165,187,175,014,622,732,629,064,651,977,874,065,731,437,845,
632,584,652,434,200,787,023,044,755,619,129,241,703,692,426,447,697,505,431,
503,811,842,134,271,234,086,660,127,100,067,048,392,055,884,938,356,588,985,
910,842,667,874,684,239,690,108,612,707,525,046,536,456,870,414,754,658,113,
502,643,405,895,920,489,027,968,925,195,166,288,615,869,990,885,359,466,996,
242,193,883,031,817,977,449,794,178,687,379,347,298,655,738,349,158,938,231,
660,773,527,757,265,434,451,944,841,227,640,842,199,267,635,255,269,693,984,
598,005,750,544,099,267,452,668,954,466,541,222,597,185,819,189,510,378,243,
665,978,620,381,830,564,130,916,891,270,450,036,208,157,528,198,696,558,922,
328,249,561,514,165,753,495,069,679,410,166,098,141,653,796,575,955,233,563,
421,629,175,606,107,901,623,942,540,653,260,069,159,958,216,073,087,737,091,
285,305,686,194,991,976,705,913,691,188,414,606,870,106,893,846,148,714,132,
684,074,514,733,953,530,160,267,426,006,995,130,154,034,046,281,608,541,755,
641,804,963,558,334,626,841,945,317,081,179,240,947,525,964,584,338,126,108,
672,442,338,950,685,293,145,591,059,522,287,492,203,783,850,879,192,960,505,
209,966,873,708,833,572,391,227,883,052,677,820,921,174,523,470,713,903,038,
603,229,224,505,108,989,656,590,318,727,614,335,672,708,010,741,702,945,477,
981,724,684,430,573,180,491,946,039,699,040,444,984,297,521,524,953,467,930,
534,626,077,873,715,119,277,975,159,762,619,649,276,803,011,700,752,863,308,
145,532,672,743,688,972,971,539,015,495,638,844,661,963,579,107,927,228,371,
803,802,400,358,021,913,114,357,654,258,145,102,963,802,077,798,589,452,666,
164,293,098,474,488,527,678,395,047,180,139,584,465,158,707,935,096,161,217,
656,224,457,468,538,733,017,956,910,231,488,580,755,227,982,177,420,437,443,
798,136,615,877,292,015,497,037,677,328,674,917,949,986,380,348,842,783,838,
747,325,968,942,273,090,026,747,875,123,532,277,336,048,529,355,958,007,095,
785,068,648,275,450,592,177,488,636,710,013,944,654,587,873,252,417,491,306,
751,747,496,365,057,069,810,801,360,307,985,802,128,925,981,827,609,791,631,
828,183,678,040,195,724,311,669,035,160,193,733,787,181,926,886,620,949,421,
547,644,750,444,428,406,900,417,376,869,086,435,227,956,560,624,529,512,209,
938,983,009,609,830,304,583,456,455,327,764,692,320,316,069,915,984,491,980,
377,770,087,921,117,537,682,341,150,444,071,928,980,528,307,469,410,885,643,
381,552,329,095,841,276,678,527,194,292,641,500,637,531,101,522,879,194,286,
301,294,287,684,391,727,825,967,675,402,326,309,256,369,987,542,452,985,715,
657,197,734,134,586,781,111,552,917,475,561,174,189,862,117,218,129,867,556,
903,009,313,436,892,045,580,047,527,501,449,523,127,989,516,787,343,640,595,
416,448,050,197,754,475,509,080,056,912,517,224,872,923,278,701,382,780,348,
902,381,568,483,354,967,522,261,260,304,853,410,540,468,185,905,230,287,288,
003,097,536,722,270,656,759,581,636,148,608,972,312,754,302,856,797,241,830,
302,973,527,058,454,782,585,980,573,051,855,223,629,801,735,545,737,028,769,
733,604,961,925,370,230,586,399,156,899,049,437,658,853,111,824,905,831,005,
829,953,336,657,045,210,744,765,671,230,721,668,606,817,512,644,307,831,062,
545,199,789,407,386,144,597,051,256,215,320,859,067,962,456,568,930,860,311,
971,263,567,718,914,949,926,724,963,928,612,904,524,919,530,144,932,561,167,
456,138,224,288,360,482,948,594,263,023,340,182,935,022,166,687,315,270,697,
880,702,648,790,547,638,756,842,540,699,893,683,771,893,317,884,029,177,200,
801,443,256,679,120,974,703,325,082,936,405,184,387,857,440,217,105,759,501,
847,563,383,868,139,170,011,561,448,324,323,876,181,544,518,901,834,333,851,
220,964,206,655,573,372,366,750,008,527,571,683,166,445,631,658,813,354,419,
060,833,717,630,709,520,127,545,770,906,952,992,084,123,010,115,811,806,583,
757,281,713,318,348,533,119,750,720,390,753,976,544,779,109,443,690,182,373,
271,782,890,374,600,021,046,237,648,904,739,275,267,087,360,663,676,136,156,
149,105,423,304,621,946,098,948,614,404,475,582,502,643,721,415,819,296,474,
475,519,018,544,361,104,790,745,293,644,540,439,082,387,710,803,519,027,700,
133,832,069,426,145,718,607,890,776,522,903,335,898,048,395,411,647,871,009,
029,950,668,925,702,797,699,878,470,008,662,250,350,813,306,666,966,040,967,
406,133,678,682,479,426,636,544,178,844,106,088,424,588,283,933,224,635,173,
270,527,025,711,417,748,482,604,662,761,560,129,132,666,185,615,292,202,296,
349,304,679,019,953,195,188,796,220,380,628,523,737,282,197,063,318,893,772,
428,942,977,160,917,783,077,985,401,502,989,850,859,685,134,890,922,670,578,
539,662,063,741,265,867,793,653,856,686,084,947,440,294,474,077,522,668,171,
989,072,338,784,224,422,119,144,004,596,455,150,691,576,554,932,749,983,995,
483,957,556,551,239,060,165,444,901,184,787,147,841,347,562,164,342,230,917,
173,894,190,994,570,122,963,429,585,309,862,848,994,715,998,718,107,475,551,
584,790,467,384,214,780,757,271,033,465,829,526,966,711,668,336,950,594,730,
232,627,304,053,674,874,587,489,283,367,082,089,697,834,038,138,822,486,442,
890,673,620,782,844,955,342,410,275,482,453,416,557,996,682,128,318,549,484,
997,245,841,596,123,672,001,215,112,358,698,888,584,455,323,721,935,090,150,
174,720,915,379,506,241,827,107,748,537,472,678,091,425,892,407,912,250,440,
636,681,644,324,627,578,271,257,908,900,949,029,264,048,620,792,115,383,950,
292,891,688,767,143,134,605,360,825,529,302,157,520,860,739,478,587,009,654,
670,644,390,614,910,000,119,392,718,861,691,879,710,577,846,921,967,371,789,
900,641,018,176,901,634,267,455,022,099,573,060,278,511,250,514,502,811,716,
251,956,925,471,122,317,548,014,735,353,262,768,596,810,096,406,154,559,971,
219,727,307,774,649,167,157,517,523,526,936,604,527,495,585,775,786,663,010,
610,564,429,688,108,931,303,441,610,402,480,498,210,617,562,839,194,078,520,
622,172,326,517,978,255,621,052,430,917,820,921,147,985,846,376,526,266,187,
357,562,329,680,854,453,303,693,128,656,646,709,339,555,722,880,117,241,637,
396,872,804,023,029,706,599,343,398,337,559,808,214,831,076,609,363,786,624,
257,117,480,287,458,238,678,512,938,868,460,206,079,287,103,301,056,138,461,
035,935,061,155,376,179,123,777,267,742,953,694,193,787,529,441,231,398,874,
764,561,440,629,084,970,745,988,466,135,323,693,277,455,830,195,326,623,521,
932,170,342,055,507,240,267,662,132,318,632,676,394,004,411,127,303,419,773,
043,711,839,231,960,093,317,528,498,235,484,294,617,486,177,752,699,459,427,
577,177,029,871,509,220,778,290,538,695,521,294,542,203,741,101,055,377,227,
730,631,101,119,717,949,795,955,836,451,607,747,771,924,902,958,009,549,006,
455,502,503,108,040,026,453,316,350,736,600,919,294,287,439,858,849,078,949,
468,513,531,541,316,444,382,847,895,005,264,440,314,153,341,160,941,287,643,
529,911,258,855,032,344,367,490,572,686,246,128,953,880,799,831,867,657,918,
283,632,857,807,632,128,758,789,094,072,272,486,991,648,806,593,353,869,289,
794,436,517,155,403,482,172,595,412,796,844,685,135,698,903,218,547,504,578,
141,819,349,868,626,139,179,344,274,660,906,689,236,756,915,285,975,026,608,
245,295,265,903,909,401,644,936,106,955,078,020,836,825,263,117,001,709,359,
329,639,853,868,783,217,761,307,942,767,807,281,463,089,946,304,967,081,744,
108,298,879,874,603,036,504,932,150,519,952,588,964,303,566,932,536,504,537,
283,504,138,151,906,966,329,933,264,940,864,277,937,444,048,105,644,201,395,
537,683,214,817,888,528,564,210,043,013,082,237,754,610,963,354,627,894,058,
906,182,818,864,686,351,309,999,086,522,721,787,189,443,806,095,920,031,644,
458,065,971,856,536,113,622,670,860,041,189,041,327,424,563,569,419,405,477,
680,029,514,045,312,842,694,732,597,409,135,324,452,165,246,299,945,787,532,
762,091,895,965,980,790,133,025,538,408,070,295,402,272,816,547,144,442,080,
922,192,231,276,200,382,814,840,537,544,296,546,408,173,232,380,100,723,238,
027,351,857,080,507,146,568,215,900,370,877,019,187,935,894,457,003,641,330,
299,304,403,796,830,815,774,580,376,321,311,265,996,221,082,082,450,077,572,
946,533,048,590,802,426,850,394,459,136,013,011,032,888,690,392,325,994,629,
844,190,147,501,398,851,339,732,621,400,641,499,014,291,344,638,571,044,871,
045,889,839,715,643,663,984,374,838,492,719,832,892,160,150,661,592,300,569,
389,408,122,267,919,503,561,030,897,947,612,056,411,970,871,188,235,426,622,
690,131,665,293,556,438,649,362,815,002,935,433,968,353,696,848,220,180,049,
363,060,050,029,075,841,793,969,119,478,757,405,393,949,656,962,363,983,768,
213,631,779,039,163,771,172,375,915,955,268,225,306,206,578,857,523,178,253,
201,625,171,590,653,801,961,906,591,564,258,837,147,248,215,895,923,205,280,
958,788,802,237,136,100,335,790,585,046,585,134,904,764,832,648,692,495,682,
193,765,967,899,884,846,337,140,627,242,547,249,869,863,381,034,887,286,356,
261,017,846,402,515,880,010,931,428,967,253,702,714,486,037,697,279,671,743,
041,638,191,591,988,062,633,492,603,666,675,893,886,477,742,946,170,915,729,
202,543,801,012,890,939,335,441,697,715,582,328,314,180,243,915,385,883,460,
109,809,202,583,371,303,672,418,896,670,435,730,152,672,273,179,621,200,675,
830,838,632,622,457,929,166,740,390,331,247,138,856,589,747,292,918,853,963,
843,839,940,685,224,780,507,742,388,911,284,672,527,451,720,656,409,181,267,
610,471,669,831,097,926,192,502,262,999,608,163,565,748,028,976,196,742,420,
170,447,029,312,595,394,257,634,676,695,578,047,111,909,817,734,245,085,004,
508,783,317,320,487,494,524,872,301,476,837,948,398,173,571,407,723,051,197,
993,063,612,396,999,330,395,215,294,165,961,529,271,682,634,619,778,811,748,
941,847,137,701,936,021,221,437,653,297,321,275,493,514,218,029,929,767,164,
267,867,183,651,011,846,719,306,026,306,754,538,247,868,654,163,976,331,246,
371,994,280,482,029,006,760,458,768,692,995,903,042,361,518,246,360,954,150,
456,772,078,691,761,411,723,585,156,659,314,710,746,381,984,340,349,937,511,
205,176,650,584,161,978,945,577,250,415,126,913,626,264,545,906,572,699,310,
947,435,009,098,165,992,350,367,829,570,763,868,552,447,824,737,359,249,355,
447,390,653,378,305,689,260,717,932,834,836,021,493,039,466,986,682,483,581,
408,553,180,888,033,831,663,366,536,004,085,447,514,929,297,360,192,446,274,
212,224,477,200,068,928,135,279,535,478,359,669,382,110,859,128,312,545,254,
573,870,702,519,926,905,833,898,699,701,939,176,027,088,260,405,660,618,904,
627,421,866,871,399,810,095,452,607,613,191,769,205,972,470,847,158,693,868,
281,637,205,863,219,255,161,594,143,301,286,252,965,807,767,495,175,576,440,
070,482,004,702,840,827,669,925,903,786,582,323,936,609,767,766,454,490,928,
679,665,565,156,759,611,979,724,708,238,984,569,517,626,412,557,036,320,550,
587,552,241,634,014,949,582,750,874,735,732,119,829,497,749,656,738,162,704,
295,598,820,759,071,742,542,814,784,029,389,212,333,739,656,656,502,397,641,
409,828,692,136,085,295,304,413,878,657,555,460,472,853,880,443,340,926,981,
040,104,106,021,056,518,580,844,491,629,169,756,806,422,861,865,009,338,161,
476,584,904,349,105,260,968,890,007,265,976,414,742,672,356,333,707,033,079,
347,285,208,194,289,020,495,785,846,208,589,610,633,638,991,231,922,872,613,
738,265,784,660,483,381,197,308,649,177,796,644,453,944,180,306,846,457,831,
282,261,090,632,060,221,927,066,757,869,996,647,294,478,877,062,997,923,781,
129,270,379,901,140,177,696,469,063,573,509,503,773,005,103,320,977,717,359,
338,455,625,728,718,611,412,347,408,803,524,120,488,031,303,830,610,816,644,
546,167,479,088,036,915,223,558,217,111,821,844,596,462,817,032,123,217,010,
584,391,304,236,524,048,980,470,317,430,468,375,815,255,245,568,335,712,259,
892,404,234,699,488,429,000,739,139,389,541,981,627,211,661,520,614,093,163,
325,669,583,093,824,560,313,893,497,160,819,224,473,605,238,762,389,461,715,
293,756,860,242,131,286,778,189,243,046,335,242,048,741,754,893,035,188,706,
058,333,160,848,163,976,428,345,527,875,103,361,535,171,428,871,903,092,403,
394,847,523,754,716,494,499,879,487,313,563,981,896,186,304,209,191,283,995,
966,026,511,215,431,084,937,459,035,577,742,398,516,316,552,737,321,892,281,
808,105,939,865,508,606,373,849,320,588,279,196,235,038,483,918,754,041,809,
930,950,621,771,823,427,264,854,954,163,447,578,369,464,723,217,117,561,649,
700,623,502,782,989,727,544,953,305,183,130,537,674,365,100,948,560,577,811,
952,991,493,679,084,549,599,488,935,092,123,721,932,993,881,448,400,418,106,
332,229,305,099,872,056,736,924,860,154,305,179,816,875,250,302,020,603,661,
386,000,502,882,653,287,780,923,623,290,923,172,766,987,873,768,708,221,613,
529,099,723,085,530,349,293,003,512,147,055,592,011,586,700,865,527,058,303,
336,729,524,869,835,966,531,797,208,837,754,091,921,172,735,621,197,434,381,
702,557,419,566,685,101,837,765,651,541,571,061,393,790,987,676,394,236,066,
877,652,979,785,609,778,051,945,596,064,992,594,670,146,675,728,462,705,330,
718,390,195,629,724,700,173,343,297,562,060,695,037,744,827,367,906,592,322,
657,466,696,981,274,270,452,623,616,193,845,708,664,139,030,637,363,913,885,
701,950,902,626,752,300,486,132,763,113,292,904,282,634,385,417,184,757,554,
202,753,245,743,597,880,926,400,057,508,943,655,439,091,982,052,514,024,079,
706,412,636,866,743,539,422,912,571,641,817,009,937,570,455,021,271,357,722,
909,821,664,063,869,763,834,030,145,469,880,423,426,635,375,652,111,066,446,
374,463,628,450,339,530,231,373,980,802,472,750,429,204,783,635,644,542,912,
115,203,915,176,398,618,875,712,578,711,063,224,988,175,922,385,078,479,449,
679,468,120,170,741,889,233,629,194,701,421,801,934,683,079,438,787,839,697,
557,867,770,989,624,119,540,712,661,707,960,832,432,109,642,931,365,547,685,
827,401,056,976,756,147,164,390,079,470,867,070,966,865,392,798,144,421,244,
525,578,054,861,819,950,321,671,379,000,631,666,366,358,855,168,859,188,174,
603,967,664,699,876,344,146,339,805,993,342,930,120,314,503,756,593,655,567,
084,617,052,494,188,768,875,272,591,471,635,505,244,865,029,634,732,694,769,
003,100,657,542,817,993,475,377,662,089,882,374,245,603,363,696,587,116,768,
415,517,202,783,941,316,631,451,544,158,277,310,621,703,147,829,450,188,558,
616,332,820,506,870,734,547,529,663,522,982,558,788,477,699,705,242,197,624,
278,985,459,868,120,936,216,093,908,762,777,837,155,504,839,450,147,379,973,
225,442,366,900,262,403,136,553,175,985,829,744,237,628,413,367,588,664,860,
451,776,755,326,940,437,483,691,024,113,013,428,926,672,008,277,566,423,564,
890,050,378,001,438,911,926,298,815,140,822,556,450,987,616,385,436,947,081,
887,336,407,860,152,948,476,587,908,240,419,213,762,694,743,820,398,771,198,
535,013,277,697,100,632,665,645,737,796,850,426,100,986,653,127,382,017,694,
391,398,540,138,188,648,733,277,297,135,484,886,907,481,001,055,187,402,166,
874,357,306,700,178,853,251,390,462,814,656,693,411,187,780,954,599,723,036,
192,155,731,593,326,900,443,905,476,207,822,244,505,475,588,848,824,446,983,
968,543,578,328,350,008,081,304,231,490,306,544,493,864,213,865,033,126,463,
440,029,633,367,454,679,757,176,712,155,857,857,463,465,959,446,760,068,051,
073,838,708,157,897,727,432,319,048,651,618,475,090,941,803,953,640,379,123,
080,201,456,573,510,205,431,759,431,909,723,817,583,065,563,034,453,595,090,
455,185,609,578,387,596,170,308,657,842,093,895,667,999,676,804,460,763,508,
662,568,782,681,388,915,155,734,475,141,854,976,531,100,205,538,544,870,796,
698,504,058,457,643,852,922,393,415,005,531,561,777,827,447,353,739,131,734,
441,860,180,571,091,338,398,860,601,761,767,527,420,008,414,746,395,795,959,
567,871,574,062,185,180,335,600,674,357,792,105,804,265,883,325,597,765,364,
695,279,220,537,573,545,886,000,539,645,005,871,122,506,847,158,047,706,065,
544,982,130,690,620,618,137,221,131,166,584,565,953,297,185,840,184,040,158,
672,917,251,221,178,653,737,443,037,693,912,337,306,221,775,778,652,788,655,
971,132,759,402,944,660,317,271,300,274,507,248,749,481,760,405,701,780,858,
060,697,625,632,142,126,108,848,521,291,606,417,753,726,805,746,509,528,419,
618,763,225,298,451,634,519,357,009,213,379,145,933,964,229,632,593,132,441,
609,897,054,444,404,777,354,732,764,926,219,789,619,427,199,657,003,275,507,
048,555,694,539,935,945,782,910,864,201,370,022,903,705,461,145,824,815,488,
054,614,826,158,043,252,815,920,990,802,127,218,749,403,429,240,294,963,227,
312,628,077,346,359,583,142,763,008,747,170,332,682,814,183,472,165,919,934,
288,224,221,419,520,630,550,901,042,821,526,245,914,077,568,669,567,150,650,
175,117,395,344,295,206,131,279,532,930,512,197,979,175,347,429,504,723,643,
538,114,186,865,821,145,896,091,300,562,654,340,514,096,755,550,994,554,062,
023,841,793,392,009,977,394,011,216,059,416,229,923,333,712,233,721,205,941,
470,660,498,579,060,779,147,686,576,779,670,581,494,626,429,936,118,465,277,
826,509,873,876,849,078,410,405,218,978,364,714,469,044,845,278,400,399,400,
889,867,234,057,994,350,009,873,957,594,363,905,775,027,719,653,212,214,016,
212,275,911,178,461,424,275,749,301,603,646,069,019,606,891,534,982,634,799,
616,070,560,304,320,478,060,067,909,356,534,671,878,335,985,520,152,055,466,
182,092,085,218,552,813,641,623,126,405,993,866,983,834,726,964,777,558,089,
554,421,886,306,709,244,841,334,288,346,894,873,060,123,345,793,334,082,878,
392,291,499,343,230,824,138,847,991,103,971,738,336,221,551,184,754,395,105,
504,548,208,273,856,031,640,399,878,420,728,389,138,805,245,444,727,686,112,
128,521,942,145,726,928,258,039,037,039,010,886,908,215,230,364,588,751,505,
342,093,424,814,660,462,500,079,740,872,409,271,845,495,267,291,172,213,324,
991,806,800,998,185,348,264,356,314,396,787,386,968,889,126,241,175,780,410,
827,843,484,642,105,778,425,684,280,006,120,161,819,855,644,384,369,629,058,
845,101,923,692,283,766,815,484,426,732,658,917,223,020,698,908,914,538,404,
989,139,213,925,206,364,643,449,598,615,273,683,970,022,624,512,275,171,469,
345,720,349,078,718,090,274,207,922,006,541,264,943,045,606,568,581,761,373,
399,069,161,951,471,326,760,674,140,319,538,694,256,168,412,196,878,087,893,
142,856,595,298,939,095,579,812,203,789,137,704,874,534,006,305,740,396,486,
795,824,233,680,996,610,236,729,066,622,710,102,835,357,789,756,974,097,803,
949,732,934,785,333,149,635,278,850,558,318,179,164,343,860,685,396,638,377,
019,606,829,291,343,730,654,161,674,768,008,119,303,675,296,392,994,705,793,
931,285,509,871,283,057,282,463,769,832,499,609,137,483,647,363,750,486,209,
481,801,491,745,619,586,947,972,408,039,400,704,026,928,243,696,900,570,466,
120,234,037,375,201,214,153,191,953,259,534,393,500,931,591,176,669,946,109,
505,153,273,771,796,242,239,933,297,364,343,425,147,600,992,060,911,625,532,
106,397,737,628,170,791,978,734,095,872,851,232,306,278,349,046,694,634,698,
589,280,589,530,398,575,232,267,021,230,878,375,887,221,386,397,844,283,645,
734,439,068,030,175,672,647,208,199,002,905,607,157,156,813,651,599,503,689,
210,297,128,759,818,441,879,942,400,108,675,491,639,940,105,663,413,817,294,
560,458,702,736,839,114,438,095,021,570,528,239,294,809,455,874,217,302,332,
929,804,259,241,974,400,401,600,482,779,172,541,089,269,606,298,225,772,112,
625,626,555,054,945,844,202,192,852,562,117,363,861,977,114,817,835,326,856,
362,699,423,958,457,380,498,902,384,750,670,323,918,784,890,653,094,249,698,
301,608,152,661,391,879,404,927,330,891,093,271,797,376,310,298,292,349,573,
594,466,387,013,693,011,868,280,852,301,377,571,267,290,107,573,537,868,984,
678,890,192,528,302,902,131,715,796,356,327,942,675,638,125,285,099,762,392,
629,200,386,412,081,578,394,283,321,595,429,771,175,829,722,837,250,709,256,
619,910,880,162,190,379,232,092,413,428,782,398,392,095,328,075,928,604,392,
835,276,189,182,944,796,801,583,901,587,201,710,966,018,812,741,000,844,052,
252,567,154,798,612,642,072,167,109,318,907,339,401,578,027,606,805,817,523,
544,662,628,273,719,142,216,837,853,665,898,163,381,623,433,420,497,001,560,
790,805,574,704,595,994,866,654,754,806,792,878,994,460,843,023,118,123,770,
370,604,733,103,437,080,142,984,712,336,276,880,203,359,049,465,777,894,092,
223,057,666,062,191,866,785,216,143,114,742,109,913,522,349,370,634,722,938,
048,502,373,578,044,889,352,122,568,402,566,466,642,560,539,574,546,837,620,
970,747,075,464,279,314,612,474,168,202,458,819,782,048,669,513,065,717,640,
750,738,692,663,698,744,334,162,332,183,596,513,100,473,052,308,392,222,369,
565,545,029,136,052,172,961,310,041,239,507,888,307,141,071,100,279,791,920,
848,838,445,449,043,720,876,372,752,904,080,906,450,944,984,212,678,342,796,
259,118,951,307,699,395,031,352,095,521,987,064,040,655,713,251,615,023,473,
974,497,814,375,885,776,319,953,050,597,972,339,036,169,652,287,286,712,557,
008,989,627,311,199,327,245,189,794,307,465,137,106,112,830,443,344,763,652,
383,275,193,901,078,619,878,257,610,188,767,888,086,114,155,547,467,197,676,
108,945,292,967,869,324,118,946,980,837,677,857,516,381,787,554,292,108,283,
495,065,620,820,873,206,984,331,222,582,687,813,320,591,232,507,247,077,313,
260,549,947,127,313,015,055,241,717,084,203,395,372,413,913,483,451,101,864,
918,091,552,227,598,457,485,228,913,014,208,753,626,736,548,002,794,402,181,
027,602,124,283,574,351,928,228,548,874,114,222,344,600,487,655,721,287,335,
009,188,139,216,649,597,548,469,260,693,238,413,081,482,627,024,015,019,051,
243,076,750,688,410,859,391,961,503,642,174,368,278,693,535,689,903,369,201,
976,743,717,405,519,931,439,666,955,410,653,219,641,949,127,365,975,897,293,
211,355,671,335,423,901,994,907,217,228,983,233,104,009,415,435,848,183,694,
074,741,843,269,393,016,855,965,095,986,991,515,023,835,629,950,066,809,054,
060,626,058,134,574,536,073,613,959,487,496,802,078,478,401,274,112,970,194,
681,957,582,387,595,930,573,058,987,362,513,648,276,591,186,083,820,374,582,
145,680,736,515,640,063,631,257,407,849,605,615,876,114,734,782,218,454,819,
939,934,547,240,364,287,235,224,821,557,130,287,366,781,265,282,627,791,074,
545,116,046,975,296,141,218,755,003,579,405,438,126,610,681,589,220,408,881,
606,300,352,610,069,796,264,754,850,492,376,751,439,734,943,410,137,339,934,
251,339,744,483,275,578,129,761,165,727,635,535,560,785,884,698,960,032,350,
818,944,807,507,434,669,048,210,734,267,942,923,906,852,135,928,727,218,618,
666,744,251,679,252,660,841,743,777,717,813,130,345,949,091,974,045,353,432,
116,097,491,665,242,783,587,851,749,186,781,918,315,557,876,065,650,548,725,
322,023,698,104,018,810,519,476,434,881,090,550,021,922,253,316,929,478,304,
122,410,970,173,262,871,262,603,189,984,469,574,902,635,292,675,270,822,376,
527,197,701,727,874,862,210,266,488,619,648,578,388,950,339,999,565,938,918,
916,240,358,331,400,065,890,523,890,747,526,884,988,855,015,392,435,545,963,
240,196,458,026,077,006,443,914,119,753,808,370,816,117,639,070,757,299,915,
829,732,725,353,670,248,364,476,557,892,699,360,698,965,494,239,289,419,513,
291,978,431,959,530,664,623,212,519,293,922,117,654,218,184,752,446,847,769,
927,984,062,856,074,212,127,327,853,519,578,833,452,170,191,259,640,833,167,
509,506,622,077,629,354,091,479,001,315,926,117,600,666,645,189,675,681,542,
352,165,184,006,781,639,409,827,114,842,608,928,897,274,851,045,271,312,091,
582,759,838,534,510,222,834,871,226,582,186,743,469,717,430,799,834,784,044,
357,298,166,315,264,994,529,506,248,851,569,382,890,501,741,712,491,276,205,
726,852,297,308,276,008,791,594,151,191,504,791,572,875,746,168,863,815,305,
887,865,844,872,476,904,787,645,105,796,709,310,410,825,995,956,488,118,916,
624,789,159,575,236,979,279,226,964,115,714,567,467,853,165,712,075,121,270,
933,351,467,048,029,524,853,575,694,527,390,381,778,971,216,264,163,475,251,
260,401,210,903,703,441,571,599,726,858,080,699,902,396,213,688,773,784,758,
485,114,789,278,331,728,915,962,023,302,779,815,997,342,669,994,094,941,383,
941,489,260,158,809,001,520,967,956,001,679,490,918,294,853,942,613,318,141,
272,817,318,967,061,097,987,824,213,266,566,251,459,931,956,363,391,341,654,
913,942,954,574,121,532,850,666,438,413,282,515,719,751,242,971,555,182,424,
315,112,134,122,117,419,842,166,917,763,119,683,161,028,408,338,470,994,515,
137,417,210,652,905,536,853,337,722,323,729,179,836,847,708,124,087,946,713,
396,502,651,100,207,820,711,142,538,666,743,797,995,603,915,637,347,960,135,
414,954,467,139,428,945,794,571,700,528,082,964,839,997,182,801,904,330,892,
114,277,720,193,392,975,708,325,521,651,132,437,808,814,434,280,864,080,782,
827,255,640,353,418,486,108,389,617,542,610,140,405,419,085,916,695,432,524,
405,762,251,531,399,493,863,957,278,056,574,554,130,883,060,239,875,051,344,
795,838,420,556,005,762,268,935,742,161,560,956,597,341,834,393,146,166,897,
181,395,938,840,678,525,685,327,977,835,311,796,052,746,802,264,156,667,701,
803,018,033,756,227,731,947,643,156,697,381,549,216,295,706,393,237,341,534,
636,267,919,317,362,084,366,866,578,173,901,603,473,540,042,402,944,416,344,
534,598,050,716,970,649,882,670,260,973,133,651,316,677,812,030,472,660,758,
808,004,172,969,695,575,589,120,361,084,859,184,208,075,523,906,188,372,429,
580,886,255,267,461,622,092,917,615,869,022,783,441,134,170,628,584,658,654,
950,873,981,014,611,660,493,034,006,528,367,857,001,083,219,512,470,822,862,
793,692,117,092,065,242,691,589,510,342,272,991,185,688,163,964,107,954,315,
216,667,128,375,641,871,377,125,475,550,511,568,021,894,193,905,191,450,595,
987,605,640,336,869,192,777,000,045,147,199,637,184,076,897,660,482,028,354,
174,139,560,040,881,890,319,261,513,300,155,195,569,536,248,811,590,595,531,
125,108,773,146,094,625,404,838,254,790,651,950,273,016,559,660,943,243,893,
857,557,969,330,159,646,234,813,911,880,601,427,719,393,587,716,895,709,475,
120,120,935,389,198,810,156,930,674,202,797,075,282,033,640,630,745,933,559,
013,637,980,860,999,485,715,086,009,084,290,949,883,819,873,708,353,019,347,
027,330,902,923,505,758,293,992,841,018,804,679,916,856,544,428,115,427,744,
666,395,661,472,160,360,667,317,886,969,944,654,350,571,414,574,615,419,375,
399,154,743,940,335,875,798,955,529,537,551,921,552,747,345,782,657,138,549,
526,360,845,698,794,075,145,357,938,412,960,080,163,155,588,108,965,703,825,
002,065,984,864,169,004,817,681,236,470,514,535,598,326,407,295,925,169,673,
992,190,259,648,215,414,475,425,289,292,050,699,913,530,542,539,172,437,960,
334,703,119,957,933,882,368,509,128,724,461,685,908,200,289,170,554,678,147,
675,173,771,034,801,776,058,321,930,886,371,602,764,461,654,593,460,832,403,
497,754,344,074,351,708,267,809,497,820,206,562,101,106,795,049,178,004,769,
740,328,049,207,449,993,655,559,778,645,174,586,898,010,760,231,987,018,049,
033,649,712,111,889,631,071,252,956,435,567,359,595,550,895,455,600,920,381,
560,208,098,378,203,472,011,431,814,459,930,748,033,081,711,114,492,287,354,
883,492,745,711,235,261,767,447,677,133,890,743,878,881,010,220,216,033,536,
942,973,063,364,928,473,030,030,403,826,558,759,085,247,820,657,783,138,153,
683,148,911,744,340,623,384,961,852,989,268,987,081,513,411,408,172,543,286,
744,278,162,009,891,220,696,971,704,284,811,417,736,115,096,378,432,454,232,
469,634,564,746,461,276,955,268,743,953,925,191,180,341,938,751,140,136,992,
753,609,450,059,207,579,486,896,418,197,703,355,617,682,767,934,094,719,018,
552,253,601,107,163,236,898,510,283,778,430,747,460,863,550,116,398,424,925,
284,907,362,507,437,752,465,413,900,640,196,820,662,663,194,018,375,425,671,
790,671,388,208,392,250,993,711,655,347,292,927,115,125,026,578,377,508,498,
486,185,416,034,229,795,866,884,752,339,963,898,762,646,954,289,365,725,519,
954,141,635,924,586,898,441,483,580,288,200,035,090,986,658,025,416,410,520,
658,787,562,816,064,876,457,481,985,717,074,236,635,299,523,957,542,787,622,
215,150,908,067,102,218,857,724,839,487,764,070,336,173,566,662,745,655,288,
965,023,049,276,855,101,208,934,746,641,370,077,068,413,747,810,216,615,237,
621,837,065,842,036,910,742,526,602,288,651,309,674,848,325,396,373,399,379,
484,573,500,117,484,555,235,010,490,914,523,006,650,143,702,882,851,472,655,
386,231,170,145,716,958,081,469,548,844,204,200,923,768,391,372,822,492,309,
074,312,150,931,944,579,746,624,354,298,987,203,761,692,221,009,318,866,031,
934,679,117,168,794,196,816,380,211,478,386,314,775,736,128,925,519,375,385,
448,297,450,545,872,905,384,524,503,563,384,632,882,217,644,843,672,744,545,
870,138,580,086,560,250,757,834,259,195,748,239,807,063,013,056,776,889,393,
005,157,445,028,963,200,785,549,722,720,027,105,565,346,175,842,368,691,693,
121,453,489,357,714,963,081,774,230,507,892,948,393,748,199,440,099,860,231,
700,645,495,862,006,840,611,590,845,889,256,845,798,267,790,672,153,529,623,
357,421,777,434,899,485,095,327,574,784,333,571,681,488,830,751,026,358,245,
099,204,203,259,295,662,013,875,218,655,808,555,307,685,508,589,195,981,653,
543,925,778,528,007,922,130,131,677,191,822,119,906,984,527,926,934,702,457,
543,436,171,534,923,804,619,356,759,654,055,097,636,782,185,757,573,489,678,
972,114,405,289,614,822,178,856,175,663,772,790,239,754,359,944,578,182,499,
450,567,012,530,303,050,796,078,996,560,062,655,726,931,042,618,205,408,928,
275,108,602,217,114,585,845,312,157,280,307,310,884,973,460,421,695,607,432,
843,534,515,089,670,460,134,284,258,717,149,678,598,409,497,063,910,588,661,
847,660,756,405,641,353,985,856,355,303,564,086,250,566,219,235,484,671,702,
626,007,617,497,376,511,936,749,002,675,693,254,895,478,748,917,003,027,174,
714,459,008,498,246,744,872,546,174,767,590,056,707,931,727,987,531,880,927,
993,786,969,548,875,029,825,985,266,757,461,822,169,088,598,114,352,998,859,
399,887,098,030,733,614,972,582,459,677,184,288,268,065,745,152,628,510,974,
542,908,574,527,020,890,669,993,927,331,221,346,714,473,508,674,536,948,406,
665,056,400,481,001,632,155,366,676,731,686,018,415,384,119,871,486,666,343,
415,856,193,574,552,382,102,304,068,927,227,167,244,122,227,967,940,736,325,
976,122,817,905,249,551,093,986,552,479,681,877,079,815,807,684,247,789,661,
773,510,697,731,235,254,525,053,308,921,341,919,258,764,316,986,300,399,732,
468,619,663,199,436,359,777,735,534,517,300,091,085,853,843,835,851,669,513,
703,917,718,713,284,962,363,892,740,223,344,553,422,870,495,521,586,621,529,
963,955,339,920,212,138,278,123,528,373,938,422,646,032,940,051,463,365,831,
469,691,649,014,550,826,261,210,266,595,201,313,552,686,403,205,079,181,441,
990,508,488,540,911,205,244,216,850,973,578,243,721,543,368,337,304,694,215,
592,966,485,758,684,271,665,393,718,643,893,897,129,518,506,127,474,780,528,
513,019,118,710,766,258,540,705,920,982,192,219,771,414,040,465,874,372,026,
149,920,769,639,761,616,206,503,944,562,739,020,173,267,284,887,001,307,070,
173,549,414,012,682,615,544,673,784,431,821,956,515,048,460,941,135,099,591,
704,925,105,926,497,585,003,106,076,577,283,033,473,727,629,153,321,050,547,
940,370,470,646,961,148,228,235,724,806,921,811,002,069,148,659,718,185,910,
601,160,457,997,275,655,391,253,768,242,801,764,863,468,154,064,552,322,756,
793,136,448,106,120,543,959,326,787,497,718,214,197,034,627,986,499,629,283,
821,369,099,229,563,389,826,901,923,779,951,010,747,189,851,128,252,851,982,
175,596,589,184,220,924,826,434,326,973,810,240,839,824,971,730,504,194,307,
651,544,290,313,092,295,163,052,296,807,760,643,951,584,845,889,260,092,354,
032,715,481,728,884,047,812,315,439,036,603,278,872,909,820,630,060,394,995,
203,060,540,204,647,192,031,512,491,829,433,276,336,003,702,421,941,167,993,
524,373,274,315,219,389,167,999,892,238,719,900,441,181,079,564,055,274,995,
641,635,047,004,444,985,163,656,320,478,373,826,053,629,520,542,523,325,717,
809,431,202,552,516,185,467,086,125,732,724,529,489,328,863,620,774,536,897,
710,200,488,444,072,067,559,495,187,634,392,295,203,153,940,686,536,191,580,
982,685,740,337,281,106,214,393,058,536,315,142,432,631,759,412,884,512,679,
651,750,676,571,884,343,613,322,396,837,531,474,431,663,878,411,918,092,287,
240,006,244,416,245,987,820,589,811,697,593,635,574,281,054,426,725,118,137,
474,142,558,177,749,604,082,254,411,007,568,555,600,305,408,516,296,414,285,
657,997,111,424,142,689,214,886,618,764,297,335,245,568,244,578,893,703,701,
586,647,055,471,281,728,593,418,948,881,709,936,414,983,704,490,524,279,731,
273,219,222,000,273,627,712,808,583,602,645,824,578,635,361,550,947,351,211,
990,541,074,771,853,239,265,133,792,527,665,766,820,287,237,979,645,311,188,
889,308,421,638,148,227,490,207,381,815,510,261,767,902,225,540,874,742,960,
175,380,382,142,824,381,111,321,706,916,497,153,051,611,944,460,767,445,372,
864,309,825,149,905,598,757,964,518,204,580,765,854,450,241,560,683,679,381,
671,291,352,941,218,689,511,799,054,343,189,729,258,029,968,567,722,649,836,
977,790,525,500,651,218,075,248,606,656,714,520,811,329,393,301,763,287,607,
533,991,833,633,877,704,189,971,850,430,263,097,263,767,062,092,357,750,430,
516,279,678,611,880,575,374,108,131,302,767,144,938,127,233,516,677,936,948,
567,918,324,079,490,421,691,618,069,937,982,035,429,742,387,855,484,703,884,
273,845,965,152,287,961,616,311,134,602,126,143,381,513,766,679,505,366,740,
870,688,839,858,988,089,547,094,885,205,624,472,100,835,940,154,669,515,422,
163,157,167,167,791,808,506,669,829,178,970,022,583,739,578,189,795,382,260,
220,434,428,509,824,255,248,382,736,623,070,974,752,156,806,772,257,227,333,
679,956,157,285,444,945,350,408,758,281,088,897,218,975,080,072,544,845,093,
601,972,109,807,217,294,724,665,140,058,722,764,203,863,014,332,213,416,682,
517,304,629,983,671,145,351,135,060,083,109,445,178,436,637,857,808,444,746,
936,988,794,552,937,728,752,760,539,369,704,209,217,761,077,551,224,114,060,
279,323,350,362,335,971,417,072,452,852,465,243,242,980,903,900,726,415,680,
834,359,816,825,361,111,924,095,943,901,130,499,632,066,360,231,358,567,881,
147,896,001,215,053,369,658,870,761,245,673,882,553,478,855,225,353,724,436,
997,098,316,207,605,862,270,647,414,972,317,603,396,712,971,235,816,745,281,
840,507,082,799,119,149,217,422,341,062,943,386,697,979,554,469,630,223,102,
303,587,929,206,999,977,162,146,492,414,050,453,563,666,440,327,582,518,684,
623,907,900,300,425,625,595,882,462,028,086,273,242,229,916,175,028,254,133,
643,518,338,443,839,119,391,115,477,281,784,450,199,624,702,762,328,152,779,
535,179,286,199,977,981,678,087,669,645,250,994,806,245,098,605,399,717,859,
286,879,801,054,112,374,945,393,649,176,192,973,557,745,740,398,928,752,086,
656,655,573,082,039,184,130,130,239,284,136,668,616,612,801,868,708,660,083,
632,163,733,161,531,635,472,356,943,024,861,886,407,194,421,994,297,500,765,
474,293,980,202,328,613,092,901,542,751,676,627,407,239,942,427,612,562,190,
612,573,703,484,031,802,519,986,517,418,848,607,612,589,573,643,162,320,125,
132,605,038,620,059,446,986,973,259,202,424,790,136,466,732,735,705,822,388,
896,631,155,749,595,065,009,859,100,495,134,143,059,346,093,440,044,233,206,
270,239,709,894,910,760,734,996,745,993,388,674,539,479,595,558,521,330,230,
332,968,032,199,778,780,728,887,396,880,486,706,037,134,034,208,668,199,256,
727,077,352,200,769,790,118,270,159,026,862,086,616,802,777,857,719,682,526,
089,689,642,982,835,908,629,353,829,071,313,749,195,739,903,276,216,441,238,
069,978,176,956,661,335,414,019,616,530,865,073,486,735,224,992,803,874,882,
431,906,040,366,914,102,208,586,439,254,012,560,420,805,129,327,257,827,250,
920,243,933,338,405,209,784,600,439,152,811,653,687,767,853,019,292,641,960,
572,630,549,599,523,240,704,636,748,550,970,708,903,339,989,151,413,014,557,
712,802,487,780,430,456,416,298,254,100,912,103,833,865,726,794,156,555,887,
216,050,546,603,965,619,880,294,823,922,338,776,923,190,154,633,780,838,051,
330,980,773,298,734,136,584,458,027,507,629,847,068,771,993,406,044,201,645,
889,376,683,973,040,425,874,623,507,997,819,028,054,116,915,985,913,110,863,
645,214,606,571,395,366,195,037,143,566,857,425,812,666,394,558,785,414,637,
937,093,817,719,058,640,175,505,755,503,061,271,137,594,696,421,851,409,004,
934,224,634,056,293,992,863,143,954,601,083,646,921,364,262,103,039,516,682,
330,514,539,134,809,380,594,569,804,772,730,731,473,793,058,169,314,698,305,
415,470,494,398,841,240,374,962,092,135,001,493,541,079,463,817,602,083,848,
728,859,774,935,196,904,035,335,344,328,387,638,693,112,945,303,861,403,991,
855,038,637,024,996,412,685,254,713,172,748,186,037,507,235,916,251,144,383,
477,025,761,818,276,355,201,512,589,594,970,092,003,735,500,950,251,788,208,
471,685,533,431,734,993,070,712,527,604,563,502,997,045,298,289,129,151,591,
600,992,842,944,552,235,700,717,585,299,563,455,113,892,508,037,402,288,316,
588,407,057,588,206,972,313,538,840,616,546,759,170,075,824,107,164,224,986,
314,447,027,389,987,728,991,915,283,016,588,635,004,399,465,939,261,192,722,
680,748,879,739,917,320,627,304,494,354,664,544,477,575,588,708,911,760,816,
746,739,996,191,676,868,581,661,634,231,527,299,530,596,716,094,508,616,906,
632,356,594,659,907,989,376,957,820,085,908,459,282,805,365,431,220,677,844,
855,747,179,578,147,951,886,979,368,100,528,070,935,507,848,937,002,382,243,
087,248,563,991,708,410,789,761,306,281,094,871,978,683,737,141,393,829,483,
401,018,261,491,370,046,968,269,376,409,345,252,898,811,128,954,698,383,108,
538,756,292,299,593,649,614,165,350,601,966,469,559,169,383,855,613,242,049,
408,480,788,268,514,946,650,859,991,384,108,821,902,870,787,845,059,214,836,
395,542,331,501,765,520,028,693,284,199,852,867,837,332,789,089,577,720,317,
538,416,983,598,653,441,685,823,858,297,362,719,699,589,795,879,035,134,251,
570,000,854,039,214,226,558,026,887,529,515,348,654,235,071,387,639,730,715,
021,727,201,776,641,371,040,303,718,862,821,966,655,546,570,530,033,395,367,
822,796,890,722,056,297,377,806,972,736,233,299,969,594,227,016,044,002,940,
422,141,796,367,035,080,905,684,627,927,466,534,937,276,534,597,773,537,513,
352,902,293,284,131,277,369,401,735,462,004,937,233,778,215,782,483,740,399,
438,315,585,342,587,855,537,832,532,038,322,518,347,751,035,895,864,755,462,
774,662,670,890,530,906,480,408,307,530,032,762,630,691,313,159,293,435,236,
004,405,227,162,271,711,891,028,190,415,311,363,543,147,121,841,664,794,171,
355,029,150,765,563,108,772,571,671,781,977,795,955,607,997,077,498,803,001,
172,718,049,426,981,555,827,279,562,783,431,298,562,470,671,735,916,038,572,
788,454,631,769,410,092,701,582,939,665,310,163,240,288,773,228,604,798,637,
832,397,304,071,985,827,434,484,280,105,398,288,665,023,429,969,560,499,040,
585,961,369,979,286,421,991,978,146,667,788,243,817,798,126,881,102,085,124,
121,394,128,978,620,373,864,961,641,681,469,065,744,789,136,470,798,912,067,
264,740,773,198,017,207,220,888,043,059,316,167,032,198,775,722,323,124,994,
683,933,237,171,391,899,134,208,049,804,652,607,640,842,278,897,668,667,385,
179,172,934,956,013,593,433,080,790,342,385,380,628,900,250,924,431,138,108,
532,356,736,103,132,654,273,745,614,716,945,532,402,151,871,871,604,557,458,
001,237,657,401,687,892,178,394,775,530,834,804,440,528,843,284,780,572,066,
708,715,523,655,954,777,563,582,453,297,831,889,904,844,243,827,428,944,494,
147,205,013,900,036,300,323,634,262,282,310,833,224,709,739,928,883,966,852,
849,621,624,083,604,156,609,961,572,081,074,582,615,410,987,250,754,815,737,
466,829,610,185,506,903,165,490,451,265,510,510,757,423,009,511,653,681,918,
897,553,025,078,804,512,285,575,829,126,111,837,415,933,487,454,105,269,617,
103,672,336,234,076,068,134,198,353,437,042,762,536,974,081,271,391,954,531,
666,985,737,466,959,342,396,189,282,765,358,272,846,786,239,496,671,829,645,
237,752,761,567,435,058,131,820,654,986,172,344,821,286,180,962,123,786,340,
074,310,725,329,026,253,119,740,145,806,211,753,403,044,133,982,857,862,626,
789,757,594,426,468,701,781,445,338,519,821,284,327,915,855,514,112,698,822,
038,796,559,837,855,656,779,128,316,855,082,443,401,717,283,405,266,725,852,
168,782,693,432,766,204,755,399,866,123,565,547,960,474,198,236,528,335,776,
489,513,472,068,026,602,965,370,659,913,183,958,904,823,693,861,186,785,225,
720,048,067,185,612,639,843,032,270,647,014,171,101,520,100,535,791,813,534,
298,785,779,220,510,947,721,338,444,395,512,253,510,434,561,320,015,536,452,
934,606,359,031,233,076,807,869,187,334,356,408,904,235,739,941,735,046,559,
639,480,164,179,281,948,252,410,275,048,650,437,826,208,453,466,842,602,412,
430,038,302,815,488,558,708,145,053,646,469,116,800,783,152,549,059,731,818,
910,389,881,359,489,860,666,501,886,772,997,428,263,887,278,577,314,727,582,
999,286,452,047,541,776,854,059,323,706,308,491,670,510,109,025,609,551,006,
152,368,983,510,114,677,768,999,374,643,479,869,529,885,614,754,198,724,933,
539,208,114,025,455,279,030,850,972,188,052,670,046,339,348,070,152,235,485,
098,039,577,541,044,859,355,388,289,558,294,041,568,912,508,611,250,015,244,
754,445,175,092,116,092,437,495,670,152,613,321,954,007,315,377,417,474,509,
337,373,592,264,897,978,816,920,974,364,937,175,353,967,940,250,269,294,493,
172,683,702,848,008,275,770,740,321,828,845,321,553,941,140,474,468,799,283,
847,805,727,485,294,185,373,649,940,782,120,295,533,907,992,091,900,290,107,
678,324,531,458,208,381,842,896,516,297,247,081,458,801,347,048,075,817,499,
375,602,317,009,485,102,252,581,155,548,357,846,675,258,460,650,217,645,352,
778,862,230,871,702,881,531,242,287,473,900,441,422,786,282,595,676,155,490,
834,972,797,024,380,409,525,481,929,839,917,976,511,412,773,008,165,448,595,
707,475,520,403,080,456,055,259,591,090,531,756,625,535,600,224,649,415,393,
399,208,691,841,615,179,008,402,631,740,324,208,831,679,114,222,050,247,609,
772,340,522,635,826,157,166,905,249,427,597,066,012,075,217,544,424,883,328,
643,192,381,241,170,155,867,824,465,953,852,809,128,920,757,276,147,285,684,
482,062,057,805,155,571,606,887,694,916,817,085,650,375,083,747,755,160,786,
321,203,691,012,913,083,378,124,376,611,178,410,880,570,750,511,687,238,096,
748,467,881,653,230,865,272,744,479,661,185,258,624,877,900,466,108,541,197,
617,936,302,197,770,465,304,415,818,200,052,089,304,234,974,463,135,204,376,
827,135,033,872,737,127,648,399,359,959,990,873,415,265,422,129,837,763,365,
815,129,555,364,063,479,030,061,758,511,193,909,237,157,458,898,122,216,219,
684,353,824,271,791,923,478,060,709,073,656,207,859,352,834,858,509,466,964,
471,334,990,426,937,534,293,642,487,639,929,922,486,155,467,324,540,402,146,
693,302,938,780,964,141,419,493,654,220,321,957,602,588,777,587,650,998,595,
933,783,880,725,361,308,949,686,616,859,340,798,704,026,146,331,053,496,658,
827,284,724,758,430,541,721,474,263,519,560,761,937,111,592,119,513,339,154,
208,788,462,230,044,759,603,215,339,060,089,490,932,900,453,375,755,809,056,
888,655,183,841,637,676,577,426,755,267,323,999,919,481,625,714,292,424,672,
088,963,013,907,977,504,447,134,169,786,361,277,314,411,305,124,572,595,674,
110,645,964,611,410,775,635,061,765,201,224,949,372,880,461,646,091,182,947,
896,296,783,043,349,481,752,507,322,391,366,878,490,978,507,611,794,572,974,
204,250,811,143,899,002,814,844,818,109,966,564,166,219,094,556,314,457,812,
093,341,610,717,567,854,622,513,014,099,678,804,054,243,845,798,068,933,650,
425,409,691,447,994,446,328,416,079,243,740,663,932,228,383,995,937,435,464,
097,834,006,504,604,463,947,720,207,805,845,623,666,030,521,755,955,665,819,
450,243,999,229,721,668,523,241,927,823,781,531,425,163,970,597,669,631,029,
838,299,298,806,701,765,287,115,949,690,200,207,956,584,770,095,098,383,606,
891,096,879,272,165,412,630,402,540,176,528,532,693,601,707,639,201,237,178,
310,022,054,498,926,080,578,395,229,176,776,094,249,829,034,576,632,585,007,
110,213,059,583,927,553,920,674,737,234,386,233,010,445,177,750,020,140,640,
494,462,431,867,050,662,849,851,092,318,026,975,862,840,939,657,723,094,349,
754,421,920,762,544,789,863,076,838,670,127,781,744,253,676,953,772,393,244,
767,359,839,074,334,345,827,128,178,745,981,037,182,900,481,126,465,313,375,
785,508,305,110,908,847,376,949,223,923,738,523,302,480,792,444,322,728,077,
179,261,218,693,093,569,282,676,301,369,216,081,641,352,601,097,848,635,409,
636,078,205,094,774,039,406,153,059,289,487,907,001,156,198,481,282,373,855,
550,728,034,780,153,921,629,331,852,963,068,735,850,018,589,060,365,453,701,
704,179,689,062,148,907,310,389,801,134,413,319,397,742,384,656,721,612,750,
665,952,819,522,419,170,095,015,452,923,402,431,866,668,986,182,231,841,039,
428,890,958,121,727,327,695,620,420,874,987,169,780,639,732,297,638,085,847,
162,071,423,554,915,537,423,830,632,869,696,552,803,508,944,404,597,814,294,
031,267,565,997,984,153,352,041,276,112,689,836,829,175,091,846,358,737,381,
213,263,618,086,860,048,986,100,409,706,927,483,681,375,585,094,010,441,742,
714,811,382,351,531,215,723,499,342,733,277,255,306,399,734,225,544,018,618,
390,328,674,308,856,412,446,711,185,341,462,617,774,728,842,152,809,885,295,
353,743,511,505,521,496,153,011,180,025,708,485,991,645,610,374,998,275,546,
344,288,778,262,512,958,589,469,735,900,407,823,092,938,843,652,476,980,345,
435,939,773,393,420,467,624,893,444,737,473,978,662,314,319,702,294,577,131,
235,320,352,437,029,672,104,416,450,953,751,706,376,170,779,837,711,050,516,
800,266,161,182,515,404,086,941,425,320,606,464,979,232,811,629,213,529,973,
480,199,483,518,244,290,166,661,410,498,647,792,887,490,779,534,869,491,117,
271,809,240,886,914,449,797,433,239,764,891,303,569,860,873,717,366,019,915,
479,138,352,530,029,529,907,132,854,107,795,219,757,857,825,459,238,202,212,
691,021,543,903,885,669,737,838,528,063,882,133,140,431,340,000,968,434,595,
448,604,246,376,163,777,183,159,574,780,131,133,304,244,983,547,367,510,330,
875,996,168,767,706,767,412,306,922,242,796,175,236,141,813,533,964,362,909,
217,226,419,155,453,907,755,616,281,382,512,226,269,799,166,331,249,312,155,
079,351,354,286,073,145,618,069,325,939,760,907,003,470,850,786,363,327,655,
150,420,074,162,565,341,447,201,892,708,420,389,751,057,418,944,858,143,723,
829,350,450,857,160,159,995,199,169,354,944,031,151,668,073,839,441,056,781,
868,062,653,001,346,590,544,207,142,935,059,262,152,897,002,489,682,169,166,
454,654,574,371,943,617,279,776,474,036,741,784,451,326,357,678,094,753,598,
080,511,816,276,078,703,643,346,657,386,672,314,084,287,610,487,410,131,699,
467,122,721,957,830,992,757,413,286,350,784,644,973,365,694,447,203,716,290,
701,716,868,884,981,011,774,250,192,088,981,447,898,697,859,578,023,396,687,
593,425,014,978,564,139,355,320,368,170,588,255,172,759,756,135,788,231,015,
764,003,630,426,732,858,763,653,799,788,986,859,760,415,275,842,947,365,801,
798,565,478,240,512,068,872,156,332,686,448,001,527,750,044,219,071,985,110,
103,008,878,364,320,427,660,228,441,564,431,903,980,699,221,901,099,070,465,
621,282,516,375,677,822,328,148,891,861,957,874,172,180,035,871,283,723,343,
591,549,934,109,070,057,202,384,827,814,242,687,986,728,342,054,275,376,773,
683,431,857,472,097,354,118,825,469,765,346,257,855,277,590,061,131,067,151,
579,427,014,273,164,960,480,692,077,165,757,528,090,031,093,495,059,782,718,
113,834,381,709,248,276,313,800,030,605,458,487,852,146,214,529,261,766,942,
942,250,926,385,984,992,346,334,268,618,706,748,482,724,116,059,775,597,194,
639,351,298,847,379,057,667,883,620,397,737,947,140,897,865,487,854,819,333,
593,466,882,336,017,766,661,095,592,683,552,086,239,332,227,993,373,956,351,
195,832,128,249,712,375,514,362,567,345,717,569,109,644,811,372,208,529,922,
425,684,811,770,420,066,981,083,705,306,387,151,837,381,425,809,034,236,971,
329,429,703,474,286,166,475,482,779,410,256,016,680,325,483,834,881,125,402,
873,138,287,537,982,088,525,120,497,183,771,589,802,704,343,015,398,430,363,
613,699,849,774,326,039,394,404,558,058,616,267,043,542,842,319,881,180,198,
614,509,449,382,913,241,565,814,985,107,356,941,696,876,926,999,016,649,984,
393,752,674,819,562,677,780,920,039,925,815,534,543,854,857,350,060,352,705,
728,715,338,722,271,270,753,528,531,195,177,706,043,492,926,972,635,026,357,
557,538,660,511,421,898,968,076,653,250,623,055,470,000,960,955,634,803,416,
969,173,098,575,384,503,785,051,069,745,514,658,741,988,650,302,207,675,249,
126,477,356,077,822,278,320,558,089,384,773,990,536,440,702,091,963,591,204,
332,451,854,233,128,311,257,713,676,960,456,468,756,719,749,353,715,272,154,
816,778,343,942,311,550,714,840,570,685,025,256,415,985,023,407,340,055,123,
723,105,923,761,167,025,289,417,849,362,662,532,030,075,736,354,334,989,134,
048,871,725,441,187,379,488,777,444,476,824,372,446,704,201,763,292,239,242,
230,868,533,554,401,766,889,611,041,853,220,147,071,466,088,134,662,216,904,
427,401,624,756,289,103,114,754,882,796,363,917,495,482,020,619,649,396,673,
811,744,494,876,740,249,445,562,171,230,211,323,936,492,143,289,626,249,183,
546,651,265,365,473,141,217,132,860,475,680,806,846,215,445,731,256,502,691,
285,262,211,565,140,847,203,760,048,584,044,652,865,180,855,085,747,366,875,
619,976,887,299,079,348,404,769,882,278,387,352,535,210,389,650,628,976,955,
253,676,188,357,317,193,692,335,405,890,713,129,316,577,468,520,915,509,952,
335,050,852,951,993,610,000,237,410,524,469,171,590,888,072,183,852,104,511,
958,426,443,664,545,182,111,993,744,507,981,250,230,861,029,337,604,131,131,
724,928,126,150,047,188,788,417,195,655,868,655,603,849,158,503,619,354,546,
315,229,036,803,118,373,936,598,361,308,712,412,732,961,889,582,976,815,989,
524,964,786,177,355,876,559,951,558,361,613,731,983,286,336,604,111,686,492,
760,250,225,871,508,352,613,014,639,357,965,327,054,381,344,907,817,742,111,
300,139,446,960,946,988,796,929,517,248,700,271,957,075,178,981,453,302,082,
459,999,985,386,615,049,857,395,629,662,005,571,885,054,098,280,811,870,568,
852,284,739,861,109,022,556,840,266,663,612,807,085,204,416,672,194,357,571,
180,224,256,969,773,815,411,163,015,033,637,134,781,939,463,080,185,482,171,
987,619,290,259,074,113,727,978,052,370,778,675,077,335,369,629,016,308,051,
933,110,366,056,384,594,450,551,934,003,658,407,424,410,726,157,736,478,640,
928,433,131,575,518,177,584,638,763,608,949,105,264,597,846,444,501,637,916,
846,243,716,311,696,914,201,612,768,184,446,983,662,167,290,783,982,727,488,
811,293,791,381,612,931,741,733,837,810,129,641,707,223,171,513,723,930,956,
310,832,797,664,072,457,700,166,694,322,562,965,450,984,206,958,681,204,875,
772,485,014,400,735,631,289,252,813,092,112,766,341,507,290,847,693,830,921,
389,761,179,039,651,084,073,801,792,281,828,364,819,830,944,884,889,984,905,
390,286,512,853,312,321,934,509,149,726,924,561,902,327,056,844,257,630,782,
256,366,365,254,274,650,350,912,995,919,852,588,422,737,641,244,974,919,239,
450,584,845,074,978,334,524,441,915,199,095,384,840,314,312,686,587,227,244,
334,668,254,544,881,593,899,331,619,072,044,842,472,714,466,118,274,593,472,
175,944,172,212,737,689,447,108,288,730,296,146,935,666,844,235,276,317,002,
924,334,961,572,370,411,044,368,810,259,529,785,949,278,134,927,632,005,869,
590,045,128,970,569,606,962,051,412,638,058,549,327,669,639,684,297,636,953,
919,028,249,108,490,135,392,192,678,521,623,374,469,968,497,858,522,011,539,
684,106,289,251,293,755,420,733,840,812,631,635,886,968,492,777,502,530,861,
803,567,337,450,517,719,722,771,650,701,531,222,895,122,165,006,706,135,741,
273,918,857,462,486,178,215,530,466,595,711,555,797,025,345,990,740,257,849,
210,505,004,012,020,143,112,087,004,558,127,925,120,687,339,132,775,157,484,
800,031,622,928,762,629,178,028,533,519,872,848,465,130,358,747,185,504,696,
078,337,635,238,518,812,479,328,882,897,719,547,355,616,786,920,752,578,224,
892,664,777,963,826,880,189,270,955,327,694,518,224,883,836,363,538,908,255,
767,001,411,693,263,646,613,822,556,594,838,346,737,749,875,495,051,823,922,
740,227,009,015,158,146,287,341,819,558,892,621,445,257,382,092,767,114,685,
709,272,665,764,572,149,402,777,934,980,873,155,617,010,662,042,955,932,025,
070,677,896,517,507,152,599,947,344,456,258,516,263,805,805,170,663,601,091,
022,331,569,082,493,247,379,672,737,409,120,203,546,429,126,083,081,705,183,
838,804,956,226,164,171,529,551,526,394,119,509,101,729,835,286,186,904,733,
891,325,858,904,316,130,111,231,647,462,225,393,497,571,577,298,213,997,786,
283,763,700,728,840,696,317,331,428,093,150,322,952,044,387,866,454,613,730,
933,928,358,893,244,134,772,157,700,000,134,350,538,879,099,402,786,848,049,
130,748,230,529,097,083,958,720,159,568,959,640,572,764,416,884,333,679,134,
465,810,749,225,874,111,847,981,809,637,918,631,778,639,120,979,156,764,315,
658,049,165,168,511,865,929,050,590,600,152,235,479,627,371,190,615,745,463,
990,624,929,001,991,180,637,742,471,975,729,555,428,492,728,483,236,349,435,
402,041,420,156,584,563,968,248,005,520,244,551,888,350,606,158,634,437,843,
493,510,804,531,618,443,366,028,352,064,603,261,666,045,338,078,446,322,981,
632,657,765,417,889,623,401,272,145,554,194,458,432,563,809,984,315,116,322,
379,548,876,350,711,552,638,927,067,414,395,230,879,235,373,500,492,914,738,
927,169,594,318,592,626,419,115,340,859,709,014,708,038,087,539,102,520,531,
731,102,557,452,070,160,005,612,526,440,360,685,020,613,175,760,037,161,453,
175,909,587,805,164,767,821,380,537,079,939,818,226,620,992,945,239,535,544,
539,742,503,732,512,731,295,432,352,262,216,924,516,808,891,078,174,016,746,
537,722,409,509,798,276,707,570,746,134,145,039,994,420,577,684,525,687,977,
749,304,100,317,600,916,443,769,532,691,748,351,790,147,009,393,847,358,695,
567,761,407,170,825,672,688,102,303,706,852,435,459,661,752,514,066,510,418,
526,152,141,995,239,057,814,607,394,161,828,400,146,635,540,187,828,490,969,
924,770,973,674,725,782,240,778,918,315,723,256,017,574,680,517,148,903,913,
686,632,544,661,910,665,961,380,552,371,335,677,886,032,248,041,020,742,592,
930,665,400,821,187,073,097,362,915,521,617,188,655,597,282,336,423,456,399,
883,090,933,491,146,717,967,902,570,172,448,417,904,187,849,426,661,143,495,
554,546,919,795,659,498,523,856,152,922,887,922,803,270,676,301,593,235,209,
946,385,805,579,348,873,342,677,125,869,969,360,363,248,797,134,642,101,496,
683,283,375,258,529,809,571,743,121,187,121,272,195,577,280,367,561,963,392,
596,713,088,409,342,119,386,586,200,944,014,018,160,339,276,767,161,834,164,
163,521,533,844,158,763,462,069,577,126,439,104,285,669,162,181,647,562,134,
545,185,973,635,952,807,520,217,563,280,492,546,467,714,796,529,159,680,839,
848,660,542,878,054,204,997,855,090,621,764,279,781,294,631,287,571,434,104,
808,255,016,210,633,815,573,505,261,431,324,062,018,110,855,948,381,357,734,
086,565,624,514,422,601,714,826,121,389,557,645,562,088,142,713,250,841,806,
267,654,403,860,610,956,164,384,117,292,140,218,904,889,501,294,533,257,352,
484,608,021,881,807,733,842,740,051,714,485,912,152,429,550,083,915,885,973,
567,286,468,850,601,818,655,524,329,779,688,181,255,290,568,449,366,405,009,
534,126,350,193,601,638,233,168,844,591,668,216,990,078,424,274,858,908,970,
444,043,876,485,223,416,022,759,094,404,818,686,522,746,539,476,865,501,389,
688,861,500,861,932,377,287,229,061,799,087,515,301,698,361,689,124,482,391,
376,892,812,683,143,534,023,913,384,042,860,302,195,454,977,130,522,970,032,
952,325,464,591,380,935,591,774,749,578,017,827,463,614,614,772,876,077,815,
632,951,665,364,568,594,444,045,746,039,420,410,190,203,835,987,164,478,329,
631,895,512,661,898,377,966,499,913,877,668,491,961,684,464,486,462,057,268,
263,227,101,314,882,677,831,945,432,261,679,170,082,323,481,079,314,515,029,
452,440,614,215,088,323,071,530,054,964,291,288,288,787,144,776,870,989,954,
765,494,621,870,247,054,386,940,062,090,405,829,777,250,193,850,210,527,010,
076,868,056,636,259,243,394,302,944,055,575,893,424,672,457,203,378,845,082,
850,782,251,180,762,498,263,844,055,233,773,096,241,580,007,969,548,803,922,
791,430,074,888,145,445,980,196,304,292,789,018,437,135,002,889,139,933,084,
501,953,245,476,720,026,714,010,968,549,122,000,915,570,789,054,674,345,014,
467,498,785,736,194,374,908,706,570,624,497,204,235,913,471,098,798,993,653,
033,170,664,296,543,565,123,239,732,456,701,582,643,218,563,865,510,610,441,
541,237,431,775,028,076,788,575,768,610,294,661,064,645,243,053,659,729,239,
556,368,584,985,183,467,943,997,464,334,611,801,130,766,023,297,967,167,865,
246,581,653,722,844,333,492,087,798,686,140,086,664,227,916,338,471,691,348,
193,674,811,409,795,357,841,811,164,366,179,625,144,253,220,640,453,235,974,
914,030,014,509,761,457,938,969,213,620,803,129,214,493,299,868,317,950,387,
531,477,812,170,008,985,054,209,354,050,923,809,764,468,738,807,831,672,852,
392,284,529,040,174,753,404,900,881,485,548,282,937,881,406,274,313,701,350,
963,752,241,467,783,285,204,402,633,798,528,980,593,801,628,554,367,276,332,
471,300,833,256,398,545,880,723,172,064,198,563,662,724,097,898,329,033,767,
781,075,709,114,745,871,845,771,685,518,602,113,122,349,028,349,616,281,348,
013,474,840,844,974,767,411,783,199,994,994,821,872,135,751,156,424,620,843,
015,766,288,043,276,414,296,420,196,854,559,902,051,967,625,922,037,628,224,
359,618,323,195,382,774,237,268,219,737,068,119,318,112,597,872,853,417,961,
614,838,600,911,396,595,592,790,429,927,351,568,255,512,130,072,846,820,389,
462,228,947,461,850,059,227,269,825,232,420,502,672,906,686,380,136,058,362,
856,878,242,210,161,526,405,554,483,730,371,646,349,055,534,892,340,704,848,
672,421,549,894,243,105,189,222,373,457,646,442,469,826,233,535,062,123,704,
661,262,782,215,863,281,125,726,792,066,825,465,642,086,807,426,113,631,124,
244,661,951,921,536,163,487,816,058,395,537,742,755,600,889,081,810,239,139,
810,535,161,008,017,377,900,471,382,249,143,382,141,809,200,466,959,923,490,
499,225,155,705,891,288,337,268,158,448,932,004,575,458,518,835,318,086,523,
046,936,696,597,513,778,146,923,403,046,287,087,223,294,345,096,199,499,717,
694,786,545,224,479,076,238,635,255,484,550,973,855,221,694,898,592,410,056,
663,835,369,039,429,419,602,405,984,146,178,633,227,049,572,320,226,975,739,
539,115,398,391,917,441,441,396,926,231,303,430,641,746,700,342,471,567,493,
932,651,836,580,400,920,925,922,578,053,223,698,463,576,956,916,798,576,078,
346,830,898,608,525,286,480,795,610,440,988,787,968,226,171,930,297,759,186,
830,763,219,080,155,389,786,380,819,937,668,889,864,837,160,861,791,488,635,
011,843,632,470,499,874,776,397,559,671,856,001,506,172,266,603,195,863,877,
164,770,351,460,623,865,961,057,510,261,761,416,728,312,922,029,142,909,411,
849,961,450,560,636,855,213,297,709,411,029,767,588,234,611,090,377,836,368,
636,191,965,921,826,319,663,279,509,894,765,120,334,234,205,335,904,897,775,
674,850,194,783,589,467,313,828,289,603,458,693,732,008,003,678,329,245,503,
854,855,052,648,223,162,341,242,487,069,315,889,072,274,681,976,404,973,694,
076,465,047,426,458,027,760,079,880,767,463,185,983,939,227,959,268,424,518,
555,129,094,302,843,258,932,191,611,176,138,248,609,033,810,155,823,320,685,
428,906,049,056,548,779,510,113,946,676,716,061,821,333,220,328,763,809,437,
546,880,133,290,964,735,513,280,014,988,387,680,277,172,760,125,576,024,653,
193,226,804,521,837,282,184,473,196,919,567,443,661,204,773,166,286,232,401,
595,237,801,330,314,930,491,705,771,813,895,725,699,152,363,996,531,571,603,
752,609,930,210,693,186,426,700,568,678,836,053,828,342,050,183,815,680,803,
643,451,120,057,618,731,551,948,995,963,307,844,461,914,292,101,603,655,162,
112,086,482,721,552,316,588,641,880,247,026,616,628,730,978,802,639,614,882,
661,415,760,150,638,801,058,147,757,747,648,050,420,738,243,825,095,138,636,
246,938,199,102,409,631,845,509,310,881,882,336,479,258,727,846,745,756,012,
707,765,048,007,902,641,688,488,069,492,949,612,665,145,197,874,776,872,147,
536,104,157,053,756,711,413,895,871,141,942,625,483,602,234,298,218,245,256,
722,416,146,451,231,892,986,803,914,463,060,397,311,821,073,411,410,675,569,
848,936,769,079,418,453,012,693,961,050,147,154,775,422,699,290,126,871,016,
864,256,952,987,058,549,322,710,393,755,911,914,982,375,948,184,649,820,349,
275,623,302,300,671,584,984,152,862,559,050,366,418,971,143,640,844,300,438,
319,175,428,325,750,894,896,032,553,962,667,956,805,822,808,436,371,972,540,
385,761,737,797,943,216,755,871,047,651,064,127,816,706,279,351,656,290,774,
717,894,131,698,542,991,777,891,877,298,880,497,608,782,789,999,837,547,509,
622,217,593,189,130,130,680,761,918,498,764,488,276,873,758,460,242,266,794,
775,367,737,767,244,994,511,181,984,717,655,486,326,093,852,997,987,521,012,
988,325,055,291,906,061,143,893,869,093,183,954,487,079,530,546,596,268,319,
152,840,761,213,695,153,050,910,870,277,419,949,837,651,299,362,809,016,676,
292,029,936,288,094,772,562,911,538,493,059,726,236,911,438,471,330,098,432,
357,264,282,180,782,924,916,185,762,467,872,963,553,595,738,805,252,013,334,
445,551,475,116,785,909,040,791,921,648,156,438,400,707,385,487,290,694,354,
608,378,543,935,186,420,557,388,322,235,388,860,445,838,270,849,296,135,068,
785,013,728,514,294,261,980,937,622,999,570,040,974,605,319,939,286,688,435,
658,026,881,371,048,594,703,354,788,967,778,419,607,087,816,010,966,482,495,
972,524,946,335,550,988,247,120,105,002,423,982,908,209,972,165,161,688,481,
359,387,336,542,692,094,147,722,800,754,286,554,828,349,567,552,461,305,473,
970,397,266,560,544,831,384,779,024,059,156,311,180,827,634,183,124,493,871,
048,022,201,972,962,750,479,410,441,882,438,808,616,144,934,608,734,945,507,
555,104,275,047,548,197,623,315,519,493,877,327,489,549,670,452,045,253,846,
846,209,536,258,097,021,682,174,005,706,358,333,208,523,889,695,638,338,408,
270,564,549,974,586,853,954,564,464,815,681,455,575,854,124,572,263,172,048,
608,929,013,104,796,023,894,262,550,866,980,768,121,423,068,129,195,111,625,
679,758,462,261,527,111,913,683,291,551,695,558,564,519,519,586,831,869,711,
400,886,924,808,129,497,214,516,519,362,221,087,721,768,007,801,333,449,178,
157,116,946,803,778,620,342,954,767,804,365,717,141,058,212,745,640,751,365,
892,436,376,010,230,564,489,281,222,804,739,999,628,550,149,593,113,683,596,
839,340,826,964,193,428,272,852,442,026,736,181,523,432,462,900,151,026,171,
135,023,756,456,136,226,515,335,534,736,516,002,342,524,802,237,804,767,188,
692,623,199,639,584,694,395,127,141,054,274,772,274,701,026,526,797,457,007,
892,477,615,167,233,843,811,142,325,715,214,049,071,551,648,345,083,871,575,
038,297,927,730,608,595,053,959,496,984,271,639,743,801,119,435,982,245,254,
862,775,982,153,695,876,640,811,676,964,113,116,583,175,305,620,227,026,327,
286,794,314,507,203,790,429,607,807,921,801,609,017,244,776,385,114,598,198,
906,463,912,205,479,071,166,300,716,025,163,884,773,215,740,603,211,754,056,
242,860,661,791,463,143,257,652,675,535,263,582,085,177,614,110,837,441,528,
858,961,792,706,395,742,795,919,226,818,425,076,955,042,211,585,118,395,575,
933,287,554,946,994,599,225,047,557,964,701,497,052,468,044,562,749,389,502,
111,021,713,276,468,846,851,658,119,576,715,351,063,614,333,833,737,411,514,
368,324,025,379,986,461,474,775,033,851,004,932,104,289,582,074,920,318,204,
626,673,634,441,600,433,381,711,612,184,557,910,591,958,090,894,706,666,883,
688,195,421,342,377,753,611,124,081,783,919,228,684,165,510,737,269,306,835,
121,314,831,581,836,832,105,838,075,927,866,015,486,075,165,348,697,436,543,
022,717,348,912,689,283,128,042,696,987,433,130,596,199,836,118,040,685,896,
378,297,294,353,273,148,260,345,551,785,013,854,973,365,913,334,908,939,212,
114,010,858,182,454,107,276,789,729,348,411,773,030,691,089,419,123,230,156,
719,150,447,246,792,157,178,001,764,361,947,691,063,924,603,008,588,430,996,
670,600,177,023,288,805,676,124,079,273,069,302,954,717,839,638,716,704,042,
998,090,217,377,275,450,706,869,110,826,657,597,251,334,051,152,313,208,265,
664,111,650,181,180,198,392,984,306,383,109,663,515,338,740,672,924,849,449,
976,187,659,365,716,206,812,671,211,362,568,114,652,460,811,993,268,319,313,
023,332,445,042,557,289,427,033,135,832,283,904,549,731,571,869,051,825,480,
562,211,274,633,175,971,794,318,582,492,910,940,497,159,001,373,228,115,192,
759,035,748,290,082,622,616,210,367,605,177,956,948,928,225,312,520,809,012,
683,604,975,542,225,054,135,583,482,500,756,975,485,385,277,910,413,398,203,
963,932,347,005,140,663,333,910,155,223,732,982,347,449,574,257,153,624,364,
902,128,414,605,276,038,554,055,216,167,481,583,870,773,288,626,891,408,712,
183,172,349,998,625,886,296,242,724,811,237,086,056,505,235,387,442,416,464,
230,180,258,815,121,049,162,127,304,557,500,698,608,563,613,711,872,126,783,
236,036,142,857,102,387,256,861,514,976,625,212,895,586,170,627,192,327,478,
157,706,823,256,824,476,158,005,732,250,105,535,317,026,626,458,948,320,199,
557,811,800,723,330,739,478,631,172,769,158,363,197,476,087,886,738,549,408,
820,144,212,125,051,962,604,100,930,505,147,548,795,611,038,449,276,039,348,
748,341,689,676,786,402,202,714,555,559,055,441,699,006,201,792,113,197,258,
948,075,874,581,929,255,348,472,349,113,502,436,922,514,999,877,265,152,747,
216,950,031,081,920,529,536,642,468,976,623,694,395,355,263,074,623,072,461,
971,181,766,895,110,138,218,753,206,944,957,124,426,691,837,719,374,384,065,
400,841,143,404,250,962,409,956,791,167,077,630,300,037,153,272,167,766,504,
990,568,949,694,575,492,338,806,226,679,033,977,252,021,505,320,081,777,147,
686,524,237,691,453,218,106,252,463,772,509,562,220,102,745,692,043,439,279,
901,934,811,428,583,299,380,326,952,651,476,559,277,902,853,183,027,509,152,
266,310,957,012,103,509,378,970,971,637,320,012,684,659,609,168,125,007,113,
101,491,402,119,168,003,110,594,677,953,268,494,958,996,037,493,553,722,869,
193,823,485,819,525,876,706,337,983,113,391,728,761,336,180,000,679,332,035,
610,089,461,656,669,054,855,358,387,710,205,849,912,260,967,148,677,459,990,
085,556,857,980,964,161,405,012,739,129,994,971,655,190,912,655,100,209,015,
121,749,576,398,661,501,633,746,211,578,833,654,908,525,368,515,704,992,749,
773,547,528,315,926,671,098,413,879,334,268,234,360,429,267,113,139,599,367,
970,033,620,458,760,470,475,743,280,715,542,075,720,905,292,673,460,230,705,
340,602,280,033,609,446,131,890,107,111,120,271,687,952,507,049,397,296,380,
068,272,358,170,575,653,608,766,570,395,798,526,182,691,847,822,506,344,674,
211,708,141,641,157,793,369,390,014,240,295,932,402,782,002,337,558,512,713,
796,012,553,247,749,618,415,564,328,381,121,263,941,101,510,683,957,176,676,
756,226,796,308,268,250,447,561,765,811,337,172,629,079,825,029,751,151,673,
114,039,271,183,047,243,761,713,345,594,599,916,364,907,314,275,556,521,914,
195,126,799,592,347,081,196,248,819,762,505,633,905,274,609,052,809,364,254,
196,911,158,570,845,141,117,810,421,324,033,425,962,981,943,391,917,365,586,
694,183,144,712,280,137,550,099,638,153,401,854,056,771,239,122,747,249,552,
324,130,751,280,774,731,384,634,719,278,662,333,240,139,444,821,999,943,925,
280,117,472,255,964,582,733,768,836,915,976,337,834,854,619,662,376,201,265,
470,559,668,808,889,548,815,025,467,822,827,335,748,820,915,365,663,543,406,
309,773,551,427,294,816,503,810,753,581,720,985,868,404,912,009,983,479,887,
552,905,797,053,257,319,530,621,701,664,479,158,228,420,457,783,845,406,030,
304,989,826,900,518,758,268,760,773,415,744,565,398,534,209,292,470,300,735,
891,912,677,962,220,878,337,850,354,851,228,248,662,122,998,610,901,130,823,
760,928,652,429,435,779,105,511,945,788,560,604,261,045,489,223,901,989,343,
690,054,411,570,977,163,338,266,816,530,434,268,948,888,430,891,907,046,603,
638,118,301,578,344,510,968,749,434,229,534,882,410,565,100,932,644,784,583,
974,401,242,361,655,980,034,146,589,260,939,052,770,112,803,856,852,447,617,
544,013,433,715,121,985,021,482,504,478,153,763,561,157,299,167,483,979,947,
346,024,327,023,035,061,810,128,877,909,063,064,314,828,746,411,877,720,750,
572,068,859,351,998,905,222,375,684,891,518,614,013,882,996,568,071,001,831,
529,063,125,075,710,254,076,772,161,819,190,044,148,462,721,727,441,293,542,
805,813,954,892,008,612,774,493,406,268,072,791,794,161,761,603,283,133,177,
538,095,728,657,990,023,508,138,064,617,192,273,504,441,385,708,358,607,969,
329,969,052,046,243,188,727,352,180,521,728,635,959,321,690,833,510,027,610,
378,232,631,591,709,864,211,427,482,621,765,620,668,385,454,407,629,610,687,
416,278,248,496,381,297,801,444,295,972,525,692,028,342,455,958,743,352,636,
531,519,558,840,573,568,011,197,829,771,475,567,656,279,296,882,071,423,796,
672,682,727,633,926,522,751,432,559,290,139,093,914,185,489,719,210,530,270,
486,863,365,459,867,153,197,214,672,644,286,347,117,234,077,923,581,407,291,
170,086,236,078,015,050,228,159,832,052,743,846,185,235,132,743,725,849,468,
355,254,334,730,636,054,156,474,075,811,380,797,893,026,309,807,566,960,248,
902,548,379,939,163,119,755,433,935,153,347,573,603,372,841,332,365,127,549,
885,299,954,303,066,424,555,973,271,310,830,589,742,538,300,491,226,867,433,
896,354,538,419,347,120,935,632,564,453,272,071,836,762,279,095,192,624,572,
893,088,929,034,767,499,981,574,617,491,586,430,939,893,764,307,223,717,554,
926,554,002,444,070,930,949,139,908,134,417,084,369,952,351,275,552,026,666,
886,473,952,857,124,470,446,866,267,986,137,566,572,726,705,536,691,272,695,
884,626,505,766,938,407,427,529,712,912,844,249,891,593,477,650,364,035,941,
284,892,863,125,776,828,803,010,737,868,884,491,256,280,041,346,662,436,328,
556,428,301,530,618,147,319,346,192,603,074,922,902,450,339,086,051,614,013,
203,327,411,651,201,801,862,866,406,758,784,297,081,456,182,126,799,895,425,
551,341,795,165,781,620,988,198,616,114,737,988,973,423,548,662,888,336,785,
060,477,518,438,282,118,329,559,085,951,327,543,770,601,767,284,837,139,955,
152,769,236,099,059,689,612,461,961,360,643,499,215,762,806,256,618,763,638,
338,281,800,109,352,962,990,204,018,762,952,662,652,142,835,545,824,171,836,
190,310,991,401,182,832,643,485,296,223,184,439,419,513,454,131,943,003,336,
583,281,830,028,258,706,614,998,662,649,671,177,019,184,485,066,510,723,401,
190,632,832,006,116,980,609,529,056,907,445,078,155,508,365,259,893,265,559,
577,117,776,386,327,645,789,363,791,334,772,488,127,741,933,743,089,322,711,
768,433,244,549,394,754,651,283,979,625,617,033,389,004,037,387,959,857,434,
597,928,596,511,882,969,440,093,602,236,417,724,999,814,007,836,029,128,738,
836,087,719,091,263,107,051,839,727,984,185,627,734,844,522,265,356,927,205,
354,054,937,647,574,298,544,351,204,035,593,246,592,992,647,739,647,434,934,
632,038,193,756,871,117,377,987,947,340,629,166,444,603,898,943,292,837,822,
155,059,722,425,334,796,037,921,260,501,358,118,058,708,446,769,720,642,382,
715,722,255,691,547,739,116,250,281,869,398,301,345,372,838,521,953,127,402,
967,530,882,201,664,587,239,496,152,708,160,472,533,993,554,537,077,066,393,
695,367,199,263,997,681,121,189,173,015,571,280,543,911,213,440,808,153,344,
052,995,704,184,722,192,361,409,365,976,120,497,890,800,669,192,975,522,289,
028,050,620,442,892,307,186,159,970,344,193,658,247,573,960,680,825,297,048,
919,732,051,686,500,179,666,580,429,402,295,148,092,361,908,109,431,341,474,
276,432,679,103,483,307,018,253,595,642,345,658,560,171,793,121,204,165,831,
547,554,233,043,921,348,771,260,050,153,481,470,507,534,077,740,641,094,978,
803,374,905,989,735,745,072,097,212,233,458,522,809,877,878,795,464,548,867,
768,963,507,669,904,652,027,378,360,284,622,642,956,942,180,512,734,145,493,
855,059,374,164,477,809,414,768,424,549,244,629,815,846,572,954,803,186,996,
100,771,170,192,798,705,191,471,714,964,429,014,929,195,145,729,941,697,315,
571,951,381,910,930,313,396,427,804,509,816,432,279,124,097,433,720,047,601,
077,138,326,987,360,840,320,193,180,797,052,467,670,229,565,221,446,173,326,
356,089,377,927,242,383,591,633,056,114,080,606,331,401,964,596,201,110,836,
432,256,325,196,830,674,729,248,148,732,852,318,891,504,461,089,617,067,652,
864,198,293,519,957,933,177,148,010,615,508,176,280,973,499,283,620,858,716,
640,403,249,029,929,542,642,454,958,554,993,624,281,937,034,304,549,180,932,
778,519,600,617,423,058,488,291,282,818,459,041,488,941,065,031,491,593,131,
505,565,087,227,218,258,232,182,675,856,748,555,950,952,083,661,199,668,059,
134,384,302,016,237,280,377,118,356,296,493,263,006,530,609,610,731,502,290,
033,875,438,312,209,767,209,734,792,709,236,376,534,924,327,943,555,087,055,
775,164,477,499,924,146,703,316,794,742,220,634,983,096,707,657,749,316,623,
241,855,759,623,262,438,593,603,402,703,478,703,465,468,125,689,570,703,486,
479,428,363,612,868,260,793,749,426,264,888,727,168,066,150,133,911,891,324,
493,039,665,683,759,588,419,373,225,414,131,571,452,937,812,455,755,957,791,
969,518,695,993,165,593,298,953,638,821,534,815,364,481,859,916,171,007,301,
279,361,608,390,549,083,043,808,511,019,300,928,208,411,447,679,388,523,648,
955,156,344,583,537,779,946,050,429,974,156,903,277,830,751,673,928,355,799,
454,853,732,632,759,415,448,073,947,619,453,030,848,688,146,671,448,884,387,
571,475,818,814,635,328,706,243,239,795,869,830,535,214,155,310,208,420,250,
144,673,141,977,382,304,022,880,296,459,709,115,333,166,086,142,895,308,065,
681,826,191,971,684,388,008,632,544,724,502,776,154,274,383,569,280,961,693,
547,887,094,023,763,580,033,834,282,370,556,756,543,503,402,832,804,448,337,
139,862,918,310,037,424,366,094,856,524,080,571,119,916,260,786,307,750,319,
349,811,735,792,458,502,254,875,804,531,619,110,766,287,684,096,341,340,397,
201,038,064,447,559,251,996,531,954,641,224,668,078,521,532,066,764,058,338,
240,159,352,970,989,040,453,013,143,481,251,690,142,712,879,352,545,253,156,
985,232,112,180,939,869,428,130,677,361,657,549,255,605,881,955,013,992,559,
793,132,101,059,185,320,288,373,827,162,914,298,536,701,660,180,143,323,405,
414,995,456,691,910,935,949,532,045,409,860,400,540,328,370,696,452,643,678,
998,681,849,317,817,375,903,129,490,343,800,265,912,784,783,943,234,567,914,
890,306,180,250,312,648,312,648,745,312,834,543,127,734,141,721,455,786,276,
608,949,468,796,867,560,532,297,012,681,845,434,331,228,932,887,723,808,073,
850,178,611,027,549,480,334,556,858,529,002,929,860,083,995,200,972,309,722,
808,135,961,532,518,003,187,824,515,742,382,950,918,799,183,255,577,432,545,
287,505,377,367,071,078,686,364,670,181,328,057,695,390,927,644,812,122,983,
666,772,309,609,175,059,703,466,985,511,391,779,909,079,061,842,982,326,679,
441,332,594,713,757,890,408,304,573,734,988,805,880,926,063,066,182,796,151,
062,869,155,571,344,863,972,896,515,742,825,894,169,719,093,354,283,255,105,
483,546,952,646,845,256,043,016,228,047,374,668,975,237,486,217,781,484,447,
305,875,042,576,964,561,218,379,325,435,972,729,373,327,020,860,117,734,168,
832,216,850,928,586,048,301,644,041,917,952,372,964,711,894,105,572,586,473,
155,404,512,157,650,167,101,535,893,048,658,876,516,975,706,656,701,866,949,
602,885,514,105,324,074,387,625,178,661,354,146,456,402,864,199,467,469,089,
149,235,888,905,925,734,694,897,472,191,895,833,566,440,855,833,183,886,256,
427,324,832,798,118,925,634,685,613,280,313,498,494,491,166,484,193,132,746,
627,807,824,303,709,256,737,655,934,793,180,788,072,319,885,038,122,406,385,
306,200,027,538,183,279,298,213,793,987,103,913,796,459,162,228,525,955,429,
260,637,566,180,403,691,005,752,080,963,495,585,788,977,514,670,289,174,842,
951,124,237,418,558,694,087,146,385,466,010,860,526,946,179,699,824,333,179,
890,147,797,392,118,742,886,963,319,755,154,512,398,839,172,618,099,398,516,
075,721,201,890,610,969,199,097,636,933,089,543,610,330,884,464,572,968,611,
083,432,504,827,717,476,839,633,973,769,411,600,460,390,777,671,796,011,037,
985,653,690,527,099,216,609,585,435,897,831,672,579,770,878,270,662,152,838,
813,109,356,775,205,608,202,521,819,457,891,370,130,000,269,214,828,192,908,
851,073,107,460,981,426,783,784,691,299,076,579,463,866,014,533,161,397,080,
336,232,680,641,924,644,736,611,394,777,987,153,866,501,274,240,521,672,960,
754,909,114,736,012,844,007,065,725,557,715,790,356,397,212,059,247,251,220,
320,376,969,301,868,494,595,843,968,601,747,789,359,347,409,040,146,316,778,
016,428,085,277,997,302,206,915,319,290,403,999,603,539,432,273,548,830,535,
657,577,311,911,356,179,167,316,297,162,891,167,545,139,768,108,355,037,833,
846,256,105,319,850,511,004,994,009,045,410,844,795,835,398,579,563,151,266,
634,969,928,408,082,927,901,538,522,841,747,642,905,703,473,079,208,571,183,
278,928,936,882,970,884,913,018,881,959,667,246,468,726,711,412,686,858,838,
701,899,232,279,537,942,267,874,367,645,949,361,591,139,277,745,965,818,904,
587,176,648,787,810,933,051,955,075,604,098,845,112,656,752,799,898,760,562,
839,382,653,186,875,167,631,694,597,186,497,102,324,099,679,531,092,922,764,
673,055,141,160,768,981,670,161,669,255,254,148,490,518,572,464,843,912,358,
719,233,963,777,263,256,005,253,178,175,203,016,992,169,514,948,522,529,240,
976,226,123,514,351,432,285,366,583,196,940,578,460,342,927,155,786,300,418,
230,865,891,718,996,045,067,850,994,404,668,043,598,640,755,864,376,510,546,
948,612,952,530,058,510,447,882,298,635,721,446,946,370,703,243,139,917,522,
945,361,487,144,567,573,279,826,739,826,708,056,444,375,420,118,615,663,143,
873,802,651,013,901,079,263,374,782,233,456,013,688,588,418,896,326,580,713,
622,228,312,260,743,587,143,664,236,095,767,152,911,364,497,581,762,438,112,
882,800,888,071,303,487,446,112,001,760,312,960,369,647,352,747,843,852,816,
532,425,061,914,559,202,130,025,055,504,957,499,964,038,300,449,131,271,011,
305,173,471,193,553,140,115,852,785,906,060,786,224,840,599,517,663,768,409,
168,715,307,862,704,542,246,001,101,985,546,285,822,878,322,288,890,200,801,
298,252,838,007,680,632,167,046,250,321,771,682,724,451,212,651,007,781,573,
381,077,783,458,625,679,351,877,599,777,429,262,557,768,427,039,686,448,805,
827,529,515,024,559,128,901,890,638,805,158,456,592,709,544,632,727,236,485,
375,168,678,750,751,860,743,039,750,459,764,698,553,775,906,925,034,737,237,
881,142,559,898,080,533,401,620,128,893,025,502,676,682,557,841,705,791,751,
313,802,867,540,919,865,425,966,180,308,926,694,284,664,147,698,606,047,064,
315,904,924,500,549,026,903,959,841,542,508,901,860,430,762,293,664,914,415,
999,270,591,036,697,260,964,697,702,740,691,198,537,398,958,471,999,542,559,
873,693,966,967,167,521,521,075,760,804,345,695,686,694,333,675,643,084,991,
675,174,917,920,621,000,887,454,800,277,649,426,538,026,414,513,273,759,560,
512,916,085,581,345,426,726,597,538,554,342,067,066,418,238,286,582,483,384,
196,804,181,676,194,029,367,083,581,060,607,379,606,641,587,091,565,172,633,
346,966,823,765,773,297,562,055,637,993,122,518,366,524,113,949,110,095,587,
649,043,782,516,530,531,402,412,292,600,584,543,268,997,095,989,073,906,018,
477,648,415,023,999,462,875,243,587,388,304,475,833,573,857,520,171,067,468,
455,954,588,768,606,756,427,770,253,724,319,174,112,780,768,220,015,077,929,
231,838,841,491,762,582,160,986,462,764,967,156,483,091,894,832,672,695,946,
546,335,835,805,055,577,564,629,333,318,321,116,110,165,898,512,603,100,954,
191,597,175,725,044,828,282,534,985,335,604,999,211,169,768,089,782,808,539,
437,125,582,983,854,000,809,404,026,024,108,149,998,400,688,002,501,717,974,
679,808,219,162,439,110,939,751,113,753,546,709,151,910,141,128,738,006,704,
896,460,437,312,290,979,396,010,465,720,596,003,605,602,554,917,610,590,498,
749,918,628,998,707,038,454,044,461,478,753,981,122,992,122,894,535,980,158,
015,615,746,696,804,796,209,580,308,469,365,385,924,120,884,561,621,844,123,
351,838,700,041,150,030,809,455,564,608,602,462,402,487,447,602,313,155,430,
426,301,181,611,476,800,234,126,947,559,727,684,252,686,239,988,811,337,705,
588,667,855,141,934,729,311,700,867,373,330,844,569,117,127,898,787,918,521,
151,868,850,553,936,920,094,226,352,400,032,602,299,538,579,988,868,055,297,
950,682,485,403,245,283,611,217,284,230,137,324,242,209,334,968,562,026,773,
616,056,399,910,249,225,874,577,216,229,160,898,844,993,271,162,281,477,461,
543,454,897,490,638,753,779,791,042,114,819,449,575,154,188,816,873,280,316,
658,368,796,870,006,158,224,659,684,919,353,409,019,670,508,221,639,003,771,
323,970,593,590,944,644,251,718,204,362,608,048,491,187,635,507,265,417,703,
530,050,486,042,677,808,039,878,745,647,477,214,608,247,931,997,445,837,508,
560,965,308,761,615,142,650,288,098,883,789,658,797,790,611,702,408,014,439,
806,318,300,230,904,149,730,225,405,786,621,650,147,339,875,885,851,768,473,
528,542,701,797,426,025,676,911,365,153,155,624,269,411,585,328,773,274,699,
042,677,557,224,182,763,701,343,045,022,540,105,339,997,657,415,495,299,999,
284,440,320,458,132,237,302,550,837,688,359,208,505,582,922,185,070,873,838,
173,382,002,684,854,258,605,562,516,526,025,106,621,506,989,759,210,485,438,
098,906,426,025,319,553,816,664,467,963,770,911,745,102,336,067,122,746,413,
488,383,605,380,377,705,687,683,588,036,742,680,426,327,949,595,039,169,361,
334,173,943,474,845,869,785,551,315,520,053,158,218,732,826,024,538,570,973,
415,975,657,831,220,719,404,223,315,191,389,432,576,522,069,795,900,178,137,
166,532,285,427,647,051,377,107,889,522,216,215,563,993,008,838,198,682,724,
054,750,163,614,494,160,782,489,881,295,956,773,980,442,438,578,535,071,227,
065,394,749,585,905,986,718,573,874,388,472,944,939,960,617,262,217,395,050,
491,127,582,113,631,328,060,567,311,150,112,865,985,415,909,505,568,579,741,
836,177,962,827,813,256,351,148,470,051,228,414,364,486,515,230,865,399,646,
927,019,884,331,265,970,510,626,018,873,263,579,041,997,351,463,891,991,905,
822,229,166,917,130,142,147,166,454,026,871,512,343,009,457,681,274,064,620,
541,301,150,701,515,805,311,877,254,604,714,195,754,388,215,766,475,529,126,
369,026,508,712,731,366,066,958,728,585,405,570,766,511,310,825,296,212,068,
045,917,294,620,297,232,951,112,929,219,695,105,577,051,033,644,810,739,579,
289,693,341,978,423,657,193,695,575,607,918,836,309,876,642,611,269,815,281,
234,702,718,756,349,289,565,012,767,168,252,802,424,815,552,150,495,952,259,
240,964,405,012,246,824,661,335,710,984,224,310,000,774,207,812,736,737,602,
265,922,828,203,451,114,175,967,164,104,853,887,575,943,563,800,742,593,041,
648,265,279,738,065,584,392,424,937,653,987,921,336,475,698,829,605,899,524,
167,866,404,140,658,565,374,501,022,324,231,468,757,492,512,984,625,258,812,
487,124,840,506,820,219,896,596,279,963,826,906,477,594,920,507,701,658,458,
207,214,276,862,563,421,053,192,081,177,420,148,240,590,786,878,158,545,559,
708,008,356,123,714,665,810,586,385,933,582,387,602,598,085,827,457,974,214,
681,120,394,740,852,503,644,629,479,982,878,434,414,132,504,439,806,830,919,
699,514,984,597,989,680,218,750,207,101,246,258,080,203,544,751,208,242,023,
117,955,745,289,199,398,477,264,813,112,848,943,529,282,296,205,381,795,207,
385,778,742,712,130,713,121,115,477,721,421,207,094,927,799,520,775,156,410,
981,072,586,526,010,392,166,337,390,355,456,552,092,324,124,688,565,106,066,
908,124,638,917,769,168,895,987,819,590,872,632,913,430,607,302,348,802,878,
033,092,781,472,796,451,947,262,303,401,546,190,618,745,736,032,078,729,166,
318,981,332,876,600,747,878,684,526,621,193,564,380,749,728,615,281,125,721,
931,157,755,421,357,714,905,369,748,203,112,161,848,383,480,625,918,371,336,
622,205,189,369,594,673,047,769,438,434,850,608,634,969,727,890,504,851,103,
165,701,342,509,560,343,071,294,735,363,810,674,340,952,648,183,964,027,850,
717,252,975,155,616,132,971,938,611,177,802,083,274,965,616,994,160,931,715,
036,940,058,586,246,255,576,064,481,451,694,845,853,745,547,101,118,894,114,
058,475,582,693,705,400,020,802,788,448,229,407,628,183,291,018,654,688,576,
354,486,660,297,295,660,457,662,895,640,020,681,633,023,706,730,736,538,229,
290,195,445,349,542,345,816,811,927,491,349,680,397,585,976,698,363,192,174,
548,718,805,833,894,768,240,459,129,037,174,541,670,544,367,393,976,598,514,
335,789,172,687,049,706,099,523,474,588,518,525,831,697,044,197,219,729,922,
294,428,779,884,046,167,088,777,250,338,853,217,532,403,917,013,560,601,111,
039,411,497,735,543,965,600,285,835,324,970,279,344,521,141,652,008,182,244,
580,238,354,475,691,786,928,123,292,024,253,953,703,188,349,531,005,387,737,
563,734,569,741,666,456,258,276,461,164,723,591,639,232,142,106,757,145,685,
930,264,753,238,791,720,776,466,582,955,092,575,960,444,356,542,474,054,365,
049,774,193,400,612,491,891,562,995,426,247,414,877,063,617,311,230,038,448,
350,989,427,399,147,558,576,594,093,458,569,774,132,435,550,996,117,635,545,
847,142,815,092,071,894,365,585,420,847,943,839,187,908,631,346,546,829,577,
085,180,836,256,531,551,747,199,782,124,573,366,930,963,493,017,084,538,010,
092,489,425,979,192,609,440,893,040,518,071,187,456,131,105,498,043,187,118,
550,515,860,064,933,541,617,955,646,306,991,150,141,503,278,883,861,894,509,
543,281,334,332,923,406,805,076,177,184,437,246,488,257,798,102,563,736,995,
277,853,940,961,642,402,294,640,764,721,711,732,557,886,421,762,636,492,995,
870,911,733,063,626,196,871,568,044,309,295,178,967,898,317,231,560,110,900,
251,671,998,329,006,354,917,143,932,636,836,766,303,494,326,883,355,102,010,
714,068,255,673,458,428,316,310,741,657,335,722,734,192,307,087,012,684,071,
114,971,301,459,111,544,134,459,156,365,389,756,233,814,283,269,612,917,060,
069,495,979,313,195,090,069,438,645,052,070,672,976,945,126,679,140,591,126,
232,452,372,165,377,279,255,959,457,308,207,164,196,109,087,132,800,782,260,
531,446,521,312,395,495,036,921,581,424,243,414,525,393,082,127,323,828,351,
708,859,676,399,441,681,728,739,443,277,082,231,280,504,738,712,009,631,083,
371,943,758,334,072,811,849,176,781,677,128,264,359,654,994,609,993,273,626,
984,490,194,963,120,492,610,618,984,639,264,845,045,886,294,712,178,006,268,
625,382,668,229,695,595,305,532,430,935,393,311,258,166,725,234,558,193,559,
298,196,384,797,453,781,445,680,897,793,049,600,488,420,126,465,614,597,610,
730,701,667,144,211,285,701,031,710,995,210,966,441,869,498,603,646,442,277,
710,129,868,899,620,379,066,702,626,793,811,949,969,128,544,356,682,942,437,
705,090,066,178,347,754,825,748,774,561,573,860,181,668,674,165,519,252,619,
557,252,018,082,482,381,956,361,760,883,503,492,845,684,199,746,270,240,193,
377,854,098,192,745,679,197,984,665,161,399,948,619,442,196,431,613,981,532,
295,796,224,402,451,020,772,196,479,070,377,904,183,356,832,952,480,718,490,
820,529,837,851,211,757,634,608,941,144,092,113,959,215,582,725,703,595,299,
707,987,136,193,760,598,968,575,507,142,618,543,344,646,579,650,660,923,030,
238,924,961,688,112,430,053,316,528,883,762,902,110,268,765,305,519,814,372,
482,328,582,108,192,320,245,625,688,418,617,381,295,912,749,572,503,517,419,
654,238,280,386,185,386,316,598,850,770,107,868,380,823,812,638,539,906,892,
450,964,457,568,604,334,018,529,014,099,290,288,197,672,529,110,823,370,864,
479,802,424,330,368,093,417,658,024,427,934,651,445,666,236,082,553,135,176,
303,009,551,738,347,394,978,137,238,772,877,740,547,148,237,231,188,343,736,
538,449,257,657,936,570,454,625,571,879,413,723,772,953,243,480,989,270,398,
097,500,962,187,424,553,254,536,050,213,988,383,556,596,442,858,686,407,762,
158,480,356,040,180,884,631,505,610,942,180,700,472,766,832,481,825,447,618,
223,827,714,390,227,317,884,709,736,478,309,543,172,318,924,188,706,154,569,
350,083,214,996,119,472,037,174,334,457,443,861,771,483,475,327,599,229,854,
011,087,412,578,762,277,488,787,848,183,468,163,034,032,038,168,810,233,620,
989,044,489,941,534,437,647,394,751,941,959,842,275,493,386,697,961,370,310,
095,253,410,570,322,969,798,392,392,511,931,966,697,289,818,617,750,647,254,
114,852,064,266,560,915,669,945,247,018,528,008,313,784,785,964,254,320,838,
532,680,875,405,395,221,194,267,833,554,675,419,574,675,722,510,365,655,981,
925,777,960,443,165,715,101,335,514,067,720,146,788,942,321,750,972,460,068,
040,741,908,756,046,109,356,203,105,580,404,576,805,883,282,888,904,395,842,
973,286,448,102,601,090,877,088,948,083,120,073,756,676,712,158,043,111,492,
973,996,671,049,106,056,616,159,179,844,579,742,315,072,964,320,538,816,629,
548,752,350,522,376,807,193,637,298,066,832,173,450,656,693,797,687,937,122,
753,624,126,321,453,250,168,026,068,721,879,453,495,401,121,645,306,787,934,
673,530,609,838,559,423,646,886,765,157,391,025,518,407,008,502,278,459,474,
997,299,271,284,235,878,075,023,548,709,080,828,907,696,474,732,380,805,130,
235,057,467,684,320,167,274,547,685,014,663,867,661,215,413,298,355,165,147,
838,225,515,491,873,141,338,122,683,582,565,795,938,437,336,635,335,731,247,
252,068,958,721,421,294,080,901,483,143,441,688,424,506,261,173,562,819,333,
675,447,145,781,788,578,058,421,918,040,518,373,856,651,468,500,356,407,942,
184,222,513,198,690,234,027,131,197,000,209,670,537,390,826,385,453,087,814,
445,809,355,888,740,820,870,027,697,385,201,442,198,901,014,153,817,093,628,
495,978,764,257,258,487,646,867,992,678,909,587,336,273,086,862,727,655,700,
750,859,564,501,418,381,298,429,333,889,893,382,210,914,548,168,780,885,021,
844,293,032,262,891,447,197,036,410,028,887,897,729,597,178,520,083,084,860,
224,384,636,526,795,531,786,872,373,789,761,912,050,831,068,655,812,136,502,
940,855,060,747,238,694,697,138,658,061,832,590,581,708,212,281,289,416,637,
605,143,700,849,740,322,597,307,634,844,971,283,830,903,056,603,201,364,607,
898,712,415,781,591,166,558,179,251,883,805,494,884,843,734,968,081,995,260,
284,585,419,180,952,138,539,264,122,711,733,234,548,324,979,998,385,713,690,
558,712,527,652,348,565,290,643,715,068,808,842,766,942,107,547,658,272,803,
644,317,339,083,724,744,656,368,393,412,212,474,071,728,944,847,741,736,295,
139,169,991,102,706,293,974,101,870,582,802,648,452,981,064,966,089,234,944,
351,437,372,873,176,479,156,147,782,894,752,205,053,532,876,772,444,307,532,
572,613,666,599,736,678,490,616,717,702,648,907,251,921,717,625,081,900,278,
011,050,945,870,366,186,780,658,619,638,334,122,226,216,849,237,759,372,971,
805,237,829,744,714,662,788,717,026,614,207,722,269,627,159,084,928,548,840,
485,121,962,604,827,860,390,062,763,497,885,142,019,269,857,483,856,002,714,
401,227,136,545,074,246,345,506,647,701,844,418,998,944,556,312,911,934,406,
222,778,356,893,888,326,988,199,272,092,137,158,842,518,943,667,850,846,093,
086,456,796,234,597,990,823,843,753,305,312,277,167,453,194,765,648,941,092,
192,788,445,507,340,022,538,946,448,293,172,087,272,787,345,237,102,300,220,
640,252,879,327,319,901,655,325,829,152,924,330,212,402,060,288,071,893,265,
105,190,690,085,564,578,296,421,399,303,824,786,968,476,064,514,428,757,462,
333,304,883,915,556,245,960,733,822,015,306,825,478,849,185,933,525,263,231,
051,819,603,679,639,049,971,545,394,808,969,217,980,115,959,500,788,907,661,
446,808,620,489,342,899,341,278,035,978,850,818,940,190,366,220,353,492,789,
500,187,159,332,549,600,137,071,942,275,228,741,649,122,071,968,747,449,023,
406,896,028,767,009,192,282,330,916,031,737,740,342,576,202,696,390,057,631,
844,534,373,894,778,561,634,582,556,871,203,757,138,811,015,178,403,304,689,
341,342,405,603,492,636,053,018,194,530,107,461,455,994,828,354,862,527,805,
828,136,179,363,747,486,459,491,325,779,600,931,546,252,544,723,989,241,618,
131,169,684,840,016,333,705,366,655,001,927,429,859,237,399,949,951,514,713,
628,530,058,253,237,152,322,155,679,411,718,413,023,288,699,010,344,863,956,
397,888,464,779,188,844,069,472,254,972,360,024,812,540,782,489,641,788,114,
448,306,642,927,016,653,594,182,871,053,162,093,625,330,862,504,933,409,037,
952,810,462,441,888,128,958,073,012,078,153,414,496,782,194,850,640,684,559,
185,947,235,472,733,813,563,578,883,627,187,009,395,177,405,970,369,530,730,
746,750,605,125,027,476,244,226,851,213,117,482,872,073,276,833,937,433,668,
453,749,818,559,565,516,714,904,176,564,594,931,089,000,736,534,569,119,808,
665,874,183,887,915,077,610,970,215,727,296,798,940,735,865,136,019,304,305,
575,793,434,447,237,270,303,981,148,962,337,155,143,263,076,916,805,599,720,
628,923,226,403,962,582,964,682,703,225,631,865,179,711,086,492,817,206,165,
631,361,306,201,079,325,717,104,384,063,306,675,785,774,141,915,761,925,238,
491,694,986,062,787,807,833,777,755,014,142,477,423,015,065,172,676,411,040,
193,927,859,892,450,808,267,297,937,424,950,049,367,438,317,966,479,167,890,
675,234,473,078,078,453,193,556,865,133,871,961,258,260,068,149,495,814,871,
307,765,613,627,905,453,160,282,806,269,675,245,510,285,738,708,508,293,316,
913,264,169,786,532,813,099,737,231,711,253,329,106,975,828,711,877,515,723,
723,853,037,718,880,080,805,448,467,202,126,494,852,629,244,877,635,895,011,
121,356,316,073,779,965,896,399,084,374,399,042,175,504,461,590,587,570,003,
648,737,942,920,993,068,959,649,910,076,395,201,887,871,532,676,059,636,066,
823,132,925,658,717,253,626,699,999,932,574,140,559,685,155,457,151,473,387,
139,956,503,273,846,194,256,101,871,221,127,595,605,175,614,195,879,109,845,
053,202,000,591,674,054,724,575,284,593,791,396,341,418,152,210,835,270,469,
163,795,079,557,607,663,548,145,089,490,534,693,559,079,761,704,058,587,084,
160,606,333,205,416,866,326,346,137,763,521,886,888,056,063,332,001,329,074,
660,737,146,279,303,832,453,819,676,985,391,368,693,390,424,300,041,045,373,
005,672,059,420,486,887,746,090,755,988,011,577,102,412,113,678,814,785,052,
645,781,563,945,408,818,448,476,877,949,482,152,184,118,829,966,795,219,933,
622,480,820,029,198,764,925,466,511,032,617,352,160,619,315,319,236,021,775,
488,087,981,891,453,567,160,391,237,698,732,603,454,555,232,415,379,466,970,
473,546,234,245,539,573,994,252,344,196,132,330,777,767,433,918,058,172,877,
788,118,469,204,686,806,936,943,051,300,571,677,286,261,627,254,295,188,162,
787,069,010,318,258,776,173,865,376,863,520,638,004,257,992,978,366,660,977,
232,644,715,645,331,761,387,722,302,909,302,593,723,269,117,196,060,031,850,
407,351,041,296,581,145,465,236,887,303,854,242,917,701,909,195,330,923,405,
210,726,869,849,017,724,198,695,763,411,046,514,695,671,128,420,730,602,617,
133,879,545,604,048,135,858,552,406,312,919,146,659,074,641,883,904,307,203,
154,687,707,654,800,524,129,261,061,194,026,196,192,097,884,271,218,662,552,
452,020,912,549,647,849,463,418,462,842,216,145,829,539,024,532,759,095,012,
700,587,171,383,451,586,111,762,490,828,491,554,329,137,725,586,467,276,929,
585,375,874,830,485,162,026,897,792,998,612,141,333,047,937,706,490,804,986,
660,039,852,945,245,439,241,069,304,467,479,419,548,262,997,324,528,172,589,
227,538,000,686,543,367,915,902,947,006,682,372,613,147,792,044,463,058,594,
529,641,350,802,527,748,250,591,681,801,896,381,271,595,982,262,329,244,488,
977,381,853,595,288,466,893,775,212,273,380,901,287,034,912,242,513,790,803,
570,019,751,491,463,719,439,235,678,656,761,847,666,016,542,321,409,596,855,
368,340,145,029,423,425,084,013,834,493,148,648,328,246,725,724,113,108,005,
236,678,672,065,258,070,673,353,137,912,694,667,047,531,004,129,710,960,706,
978,525,951,178,211,575,557,262,532,017,544,283,291,599,274,888,429,826,162,
287,085,306,646,325,062,300,646,342,989,659,241,195,939,970,551,186,252,854,
626,243,982,757,051,975,149,350,324,228,704,087,988,260,761,621,712,103,106,
462,843,082,532,207,538,281,707,593,832,118,748,063,053,882,698,543,168,372,
371,502,625,194,014,452,985,376,477,510,362,259,617,385,898,413,049,645,755,
232,935,588,092,885,017,148,417,214,020,296,381,410,637,096,963,804,273,739,
890,105,171,781,635,554,783,718,306,735,570,211,607,870,685,481,693,977,704,
042,587,038,961,879,379,734,447,859,871,475,666,285,193,039,669,419,319,143,
035,587,920,451,644,105,225,604,631,324,469,019,137,498,874,434,828,494,320,
950,154,592,148,197,253,124,698,525,216,407,451,718,631,885,670,768,492,917,
687,155,019,655,903,189,605,679,933,179,114,238,945,628,927,814,532,026,144,
975,335,306,678,885,798,146,702,342,744,895,044,865,335,898,328,364,057,923,
553,548,288,105,124,798,445,317,140,009,174,822,490,089,817,417,174,568,693,
331,239,978,879,363,613,488,981,085,569,596,840,860,240,947,340,826,285,788,
888,035,163,406,699,296,619,782,955,170,591,434,054,278,072,156,935,052,597,
962,539,486,482,484,207,210,941,611,021,130,646,008,700,452,459,700,352,983,
494,660,944,220,351,814,796,639,403,599,903,499,963,570,862,083,893,676,117,
153,457,060,928,906,480,947,709,527,837,763,137,560,475,712,261,539,576,513,
068,368,182,303,950,359,159,402,339,733,863,569,609,137,236,618,742,643,330,
155,214,877,700,320,418,198,112,399,426,329,317,024,758,238,236,142,897,137,
370,126,649,509,889,236,119,535,138,212,988,346,713,011,677,145,725,928,614,
384,387,135,049,369,525,147,054,371,832,221,265,116,912,666,102,445,595,262,
246,167,958,498,644,442,326,840,371,740,356,021,577,368,356,502,978,254,551,
538,015,766,417,300,440,311,801,199,313,041,730,677,279,585,029,249,225,643,
054,450,720,249,426,140,188,003,438,002,022,762,498,181,939,019,691,271,452,
234,327,962,210,252,890,593,616,937,678,736,917,971,233,175,427,853,795,994,
380,208,838,354,819,463,543,749,241,821,381,751,702,630,701,515,311,531,252,
718,090,021,521,544,383,617,535,305,530,996,842,660,302,197,866,062,122,827,
423,289,368,462,040,183,549,480,024,752,565,976,688,117,577,415,727,485,200,
182,434,381,822,405,873,962,380,697,518,786,845,545,405,178,261,127,237,806,
123,783,864,553,927,633,781,966,278,782,146,615,261,886,263,499,654,628,607,
401,590,380,369,903,150,998,309,947,531,923,323,641,312,734,186,508,439,999,
116,394,306,584,923,675,554,999,404,037,997,049,179,181,904,246,548,168,606,
742,135,072,362,167,255,604,881,041,414,828,666,304,382,659,894,968,542,585,
243,046,270,898,382,581,313,475,221,631,753,764,223,798,878,367,294,259,998,
829,780,522,414,580,466,474,948,708,488,889,113,627,755,134,543,158,977,794,
936,892,981,016,517,760,937,155,037,764,450,015,451,736,563,076,350,936,175,
328,652,787,195,314,840,897,413,049,327,141,529,032,778,822,058,463,701,080,
202,570,610,169,034,169,859,723,915,351,437,038,277,606,443,514,276,651,274,
674,452,456,248,898,722,714,575,165,287,928,065,473,257,486,949,330,256,979,
443,343,747,530,022,493,323,550,384,535,809,932,927,261,071,832,938,945,926,
693,926,354,247,523,531,158,998,850,483,095,919,525,868,033,059,798,703,516,
044,673,715,638,972,394,653,748,270,525,342,475,764,295,891,086,329,272,975,
406,108,724,979,679,501,560,387,734,492,509,752,059,570,803,649,405,933,274,
938,112,586,994,908,305,990,099,919,291,045,694,356,090,183,000,326,984,084,
151,663,469,930,842,703,523,505,941,859,798,409,827,960,891,774,266,757,786,
334,459,718,581,861,779,476,750,851,157,567,286,950,916,078,856,592,589,149,
320,151,402,952,963,908,930,308,754,967,356,753,574,038,958,559,097,879,570,
969,244,895,122,169,259,399,795,465,534,336,890,689,798,445,264,527,426,182,
893,458,537,500,737,218,403,108,378,553,651,541,334,379,242,667,019,817,226,
167,196,601,751,438,371,565,253,599,036,953,568,081,223,396,951,418,090,436,
313,426,541,805,429,371,240,835,693,307,832,936,921,056,572,554,355,823,349,
010,957,364,236,268,559,616,693,355,479,672,254,989,422,064,664,556,209,586,
006,439,859,047,646,729,188,413,201,941,236,116,928,047,217,170,778,935,824,
520,801,895,039,962,365,644,250,531,772,099,635,496,672,725,150,826,784,754,
664,904,399,314,225,465,589,512,827,784,038,331,677,026,251,763,439,077,521,
726,897,038,174,383,944,111,929,408,829,167,518,755,667,497,491,423,707,118,
360,769,368,460,544,846,074,140,221,312,029,365,668,482,365,133,006,695,294,
860,671,414,601,118,742,081,067,816,714,935,653,420,039,721,198,533,961,594,
820,323,657,270,826,840,685,544,031,341,610,183,928,962,212,752,255,803,492,
401,397,791,147,839,261,735,660,460,633,248,700,646,661,961,419,869,097,588,
407,723,535,926,748,920,677,188,297,400,825,979,599,951,045,161,867,706,563,
770,381,454,761,511,767,720,462,524,788,029,229,167,460,758,939,529,057,139,
076,840,087,536,339,868,101,713,688,607,128,367,961,800,672,380,499,408,002,
568,637,244,826,541,419,276,735,819,448,354,978,221,825,203,159,530,106,133,
790,728,091,063,746,729,845,750,449,448,108,785,555,957,312,275,952,910,116,
624,688,370,079,789,761,408,725,379,040,468,935,009,299,831,881,493,888,758,
199,937,687,269,157,649,539,391,314,997,887,601,241,758,852,221,547,500,193,
576,473,115,285,924,922,393,873,879,283,185,281,344,027,576,858,032,341,097,
453,091,138,389,264,891,610,115,783,367,905,552,731,391,547,369,857,477,467,
982,986,647,738,844,987,615,656,683,195,739,919,836,725,670,742,522,948,675,
000,414,977,392,194,501,595,999,515,933,405,981,804,390,423,312,526,469,037,
004,596,740,679,123,692,187,243,161,765,222,825,904,800,064,799,873,311,384,
117,240,297,013,873,803,068,925,339,428,357,035,826,317,959,491,089,981,073,
356,297,706,904,407,256,040,542,254,640,986,864,602,199,819,249,170,955,249,
081,668,322,134,487,152,271,146,237,695,212,724,142,844,628,197,424,114,098,
907,724,244,887,143,746,361,323,852,430,099,733,751,357,833,998,651,487,911,
777,762,630,654,179,253,812,945,135,348,833,763,311,639,680,783,687,817,853,
519,653,532,185,125,905,550,467,311,729,072,012,814,137,915,578,443,143,420,
745,779,964,439,504,741,071,939,274,068,445,738,351,586,690,875,105,964,789,
515,662,153,949,399,476,777,763,490,921,687,678,796,453,691,471,835,137,785,
985,225,424,228,092,078,359,634,789,716,922,479,564,296,101,413,768,256,773,
580,501,518,751,689,508,303,584,466,734,652,975,246,340,855,724,719,677,809,
491,075,324,280,462,602,778,142,649,256,124,335,171,067,214,107,065,346,386,
618,676,461,032,984,997,460,576,758,351,611,008,157,529,796,844,282,365,489,
974,492,051,708,712,539,686,009,797,382,423,636,000,703,442,193,422,904,054,
905,733,051,878,259,455,311,490,218,849,712,420,306,994,995,839,585,819,470,
349,544,586,592,233,059,601,798,106,702,967,499,039,284,647,021,005,183,959,
810,148,064,847,516,816,179,741,625,073,073,277,266,711,012,111,885,686,438,
814,973,006,988,517,522,749,122,639,627,486,506,893,508,188,351,791,979,325,
027,340,090,298,217,392,036,132,323,370,419,768,731,646,621,129,186,066,048,
179,012,302,637,263,770,582,691,678,766,087,744,684,961,924,847,820,740,891,
522,054,514,433,127,296,876,310,719,148,093,384,372,163,988,809,626,169,902,
119,959,427,375,392,702,566,994,925,746,576,639,824,934,818,816,175,261,796,
399,869,867,447,677,775,578,588,754,369,392,195,970,823,168,133,416,533,252,
104,103,932,641,149,257,169,739,106,183,544,484,106,196,570,959,045,636,442,
225,791,928,697,793,190,264,913,976,255,538,624,375,744,687,524,413,329,873,
535,589,606,336,331,289,363,339,023,443,767,182,956,807,678,509,981,621,818,
189,521,079,827,899,074,074,738,598,257,777,935,353,624,614,910,639,274,453,
821,283,108,419,026,026,788,750,044,228,419,591,638,578,033,697,425,439,426,
865,880,244,131,925,563,487,352,403,375,942,772,914,095,377,767,610,633,431,
347,035,245,825,514,507,699,001,579,983,595,271,345,596,151,772,777,834,809,
202,536,518,613,778,168,426,971,069,340,814,307,150,777,530,777,239,197,087,
411,649,842,617,526,626,415,567,674,263,914,022,703,772,646,280,467,325,808,
696,799,205,108,811,540,117,580,144,895,903,478,314,513,912,659,538,262,907,
390,451,779,590,304,864,986,419,180,913,965,611,867,075,685,004,593,165,224,
903,260,794,082,514,605,044,745,028,766,365,011,756,965,117,087,865,797,741,
990,114,653,074,683,154,834,953,368,798,584,250,308,358,959,228,428,012,247,
857,717,239,441,799,899,531,525,623,777,887,337,865,464,573,458,495,181,333,
989,696,367,221,461,056,978,746,960,754,168,345,088,654,264,775,121,649,253,
480,550,664,591,333,660,797,476,197,857,335,451,490,294,732,807,452,222,112,
593,075,835,148,385,116,958,129,201,175,751,255,149,137,325,374,027,095,913,
897,970,063,461,366,568,891,055,930,312,740,705,384,472,604,980,891,429,681,
270,968,265,452,956,730,780,661,136,750,153,088,646,769,123,358,957,238,174,
171,653,323,514,469,812,360,129,252,208,414,882,985,480,294,495,977,220,724,
823,603,762,384,251,073,099,522,870,727,824,129,721,488,664,279,410,458,852,
626,343,448,835,389,526,311,837,651,081,255,858,034,096,543,103,380,344,631,
674,851,406,815,313,671,489,383,263,880,024,271,442,649,289,125,189,779,706,
948,938,897,667,709,605,376,446,692,038,881,048,526,596,616,372,182,115,705,
291,903,204,167,561,316,831,512,607,926,984,433,118,526,313,869,879,049,724,
042,800,375,906,154,226,868,212,771,969,469,316,967,462,679,591,124,901,684,
886,564,118,636,505,822,979,250,404,151,309,485,380,916,713,304,879,259,743,
885,377,029,718,465,263,910,834,929,941,904,736,800,441,956,836,581,395,870,
444,725,898,013,132,172,864,036,155,210,908,538,061,886,514,478,365,751,281,
734,032,182,509,573,658,607,465,486,654,312,112,604,478,257,619,069,597,864,
559,936,072,323,833,182,266,989,082,347,991,015,454,452,931,147,924,497,932,
231,259,445,100,452,367,285,599,479,527,071,328,362,097,049,960,664,080,759,
389,704,694,606,502,810,287,395,329,913,425,086,331,001,827,410,157,606,440,
311,941,608,914,563,137,236,956,675,999,053,978,610,745,488,781,918,591,968,
419,145,193,328,424,936,053,548,257,702,254,091,788,776,603,179,013,931,429,
162,151,100,648,948,465,717,909,443,620,701,259,675,784,298,974,220,344,901,
936,841,060,205,720,759,125,125,523,847,451,709,768,934,554,587,432,628,694,
927,912,207,092,096,370,828,827,962,258,002,579,108,669,215,336,252,432,544,
758,252,971,310,505,463,674,242,096,294,740,064,822,242,888,706,786,896,925,
089,386,051,825,649,873,489,562,763,145,355,239,019,910,283,326,479,337,359,
194,740,513,621,097,728,840,283,593,086,479,799,747,809,056,697,545,626,725,
124,956,841,116,552,560,472,752,836,745,579,168,657,795,164,228,100,712,181,
621,765,588,281,992,406,670,991,348,109,806,843,065,946,813,436,596,846,593,
268,595,810,697,949,656,998,462,837,773,475,656,830,570,793,519,890,235,068,
936,584,025,211,153,421,436,503,928,439,692,374,749,472,438,436,077,195,860,
301,392,080,124,950,163,303,610,758,290,401,835,249,016,687,170,341,365,720,
304,010,411,266,975,664,800,823,377,160,361,832,879,391,179,298,218,483,474,
628,641,673,359,730,949,424,551,778,942,059,733,918,830,252,875,474,098,090,
326,296,539,705,442,226,995,210,846,671,615,590,238,416,082,889,391,841,127,
138,373,123,319,533,734,938,800,805,928,145,262,839,626,796,907,327,456,830,
686,885,663,316,283,752,061,281,905,032,219,072,322,500,915,393,368,245,055,
211,381,584,402,712,605,178,431,889,461,192,404,414,486,160,102,822,840,083,
558,441,315,732,150,066,855,302,852,340,873,180,194,135,025,709,685,950,673,
348,488,063,438,746,495,809,886,114,027,324,742,683,882,768,746,002,122,580,
886,522,048,085,108,970,964,168,168,510,840,922,029,796,436,466,736,144,705,
710,006,153,355,054,219,174,309,585,266,365,313,211,633,967,550,475,409,650,
962,083,698,563,318,570,357,729,439,514,591,555,978,086,973,148,366,200,753,
195,767,364,583,665,476,179,766,424,073,668,267,546,690,345,442,698,470,093,
333,607,660,382,168,923,554,538,729,692,433,985,417,066,877,093,420,746,734,
932,947,306,786,893,374,922,044,714,109,919,059,372,554,505,002,900,604,970,
683,245,348,107,497,746,156,967,252,554,594,969,312,214,391,765,468,857,330,
413,412,112,940,221,197,212,544,440,021,518,425,136,968,396,629,286,748,114,
785,918,949,540,553,317,610,525,096,577,660,230,223,295,416,999,361,420,287,
072,956,230,560,216,831,071,662,779,564,005,021,232,022,492,680,735,811,014,
442,885,308,671,594,611,594,247,754,578,267,071,326,114,576,013,752,107,125,
592,101,379,890,261,916,166,931,945,121,675,093,241,162,104,115,920,263,933,
424,384,951,588,698,024,452,599,718,322,600,513,017,477,980,948,653,186,231,
332,736,845,908,486,193,753,771,560,012,213,852,084,358,380,430,055,530,326,
600,265,772,955,805,623,642,922,700,603,086,319,579,421,010,923,870,834,074,
714,011,544,356,756,679,607,222,994,001,065,799,159,384,249,589,103,154,574,
309,660,190,550,227,371,321,054,618,875,438,943,242,152,839,890,774,870,349,
406,192,390,387,210,811,230,042,778,344,392,744,426,118,393,388,413,135,072,
631,080,187,061,732,565,999,039,051,469,389,972,522,707,532,213,479,045,498,
165,156,375,021,069,277,230,840,621,585,895,272,059,768,353,194,787,903,667,
064,302,989,988,689,490,079,550,613,818,084,095,972,599,915,483,614,545,057,
235,005,922,074,717,449,119,674,459,085,152,594,410,162,853,496,963,568,843,
006,700,554,685,362,666,881,206,628,983,816,516,838,888,815,856,939,921,340,
999,751,353,515,676,159,568,673,504,455,738,927,553,789,531,821,888,375,990,
686,325,066,191,196,576,806,645,170,299,314,457,726,845,596,392,432,024,481,
447,367,106,018,113,995,501,931,922,195,770,599,883,020,504,818,647,570,500,
335,128,305,372,509,402,614,990,178,599,041,129,435,323,097,771,171,076,743,
759,051,776,344,872,253,960,932,301,768,640,571,771,879,401,826,614,205,404,
890,806,058,505,982,006,258,693,922,480,727,878,605,065,409,596,830,200,225,
150,463,995,392,373,463,339,971,681,051,902,484,567,738,163,941,190,424,882,
519,217,877,953,888,330,458,696,871,798,449,989,955,226,224,101,397,618,394,
096,557,593,163,485,494,968,731,103,451,288,704,405,705,052,771,910,755,901,
926,712,536,409,247,806,798,926,340,922,385,446,532,693,312,544,783,370,279,
150,242,781,191,796,952,607,941,974,647,720,473,769,362,649,038,502,653,811,
887,454,734,880,769,365,394,922,402,266,844,016,206,049,957,155,900,974,291,
962,063,561,512,904,597,740,115,026,146,906,122,653,157,996,773,086,293,442,
083,252,720,256,427,411,820,843,705,522,928,272,319,236,838,983,062,278,616,
459,297,034,992,690,706,155,132,399,733,016,708,515,944,120,952,136,851,755,
004,704,934,363,863,576,158,980,092,132,552,486,136,768,440,694,794,587,244,
477,402,773,773,328,260,495,620,302,097,152,471,888,014,873,175,098,788,935,
911,712,684,623,727,215,955,440,919,319,376,321,489,309,388,720,826,767,696,
751,097,856,559,783,299,232,100,271,532,537,269,171,781,285,087,703,742,077,
092,169,232,601,076,363,532,405,972,944,292,077,682,849,015,696,332,362,486,
517,249,854,044,583,666,579,986,787,490,099,370,916,964,611,260,669,996,410,
302,202,961,487,741,824,109,962,914,360,687,364,685,771,430,099,690,026,348,
000,266,620,838,253,430,344,093,490,621,724,783,077,927,296,463,865,021,976,
487,620,139,076,411,537,524,515,348,492,105,390,271,205,502,427,614,348,232,
507,247,448,749,210,470,579,770,994,830,160,551,164,760,665,724,220,310,487,
377,610,591,149,682,776,168,217,646,791,284,488,660,541,186,805,907,234,675,
802,300,559,105,278,790,450,065,398,376,836,944,403,746,468,809,002,355,042,
787,318,308,470,937,757,345,524,558,914,830,838,415,162,723,189,733,967,695,
912,147,899,654,011,851,345,712,999,957,989,577,896,182,295,198,276,658,178,
173,235,879,754,931,224,132,949,129,886,456,427,465,579,394,869,778,804,153,
954,608,881,553,065,295,046,527,394,540,337,954,586,095,679,363,355,061,418,
019,147,083,582,078,189,340,215,033,427,216,733,995,238,500,900,385,796,916,
262,437,327,834,420,051,251,674,006,935,179,087,250,904,396,208,287,534,538,
626,413,765,790,299,254,642,249,714,667,185,681,230,869,814,981,144,090,564,
595,397,059,250,583,640,364,656,480,136,823,663,093,523,197,207,790,436,302,
854,340,807,282,714,536,812,891,822,117,924,412,474,824,047,039,613,373,158,
420,380,275,428,081,103,715,325,492,036,726,531,502,425,897,499,351,988,494,
112,659,521,838,865,366,771,298,124,943,711,838,494,454,444,992,427,867,441,
232,131,869,374,203,054,067,069,470,391,280,647,200,726,432,775,538,577,899,
213,695,356,156,368,159,711,197,270,594,105,123,635,251,394,992,075,228,316,
467,272,174,772,930,011,078,430,746,620,147,335,474,850,970,270,032,938,165,
732,846,354,620,636,265,741,889,666,407,539,279,421,475,562,219,492,274,521,
058,300,327,118,367,190,435,972,292,143,167,452,611,346,626,832,466,794,454,
851,019,742,759,569,473,573,897,405,100,735,964,134,991,370,473,047,995,417,
023,215,891,760,289,903,329,221,208,423,870,555,302,810,510,150,875,422,547,
439,088,725,179,603,693,409,122,526,198,393,318,745,770,881,675,209,282,029,
419,706,860,751,286,957,846,582,747,161,997,228,875,067,423,132,830,579,752,
351,382,189,650,959,564,515,904,830,080,699,462,598,236,585,480,442,259,880,
560,544,604,516,104,002,037,976,069,348,747,144,035,213,980,143,202,184,298,
001,123,440,879,659,526,452,901,233,581,630,672,143,613,564,827,366,088,157,
215,251,702,554,232,586,670,703,109,362,946,972,044,813,983,112,618,374,760,
515,902,135,065,380,677,708,643,523,807,226,451,614,088,219,657,192,674,400,
368,221,665,626,914,570,263,873,750,235,819,235,079,862,076,011,260,386,515,
556,612,234,512,816,689,319,292,855,569,995,727,623,277,580,057,620,945,122,
164,373,629,161,138,583,832,879,816,217,706,526,999,861,328,525,104,921,361,
277,384,544,534,950,342,748,007,729,958,580,403,614,910,308,090,310,001,848,
165,686,973,572,468,803,692,913,416,297,672,934,260,068,877,762,085,103,099,
008,887,282,623,086,416,866,681,681,941,937,250,820,196,604,504,061,217,707,
137,109,487,399,038,372,194,667,536,664,369,842,893,163,173,997,367,973,792,
392,500,231,786,351,107,944,235,884,842,385,464,381,523,806,226,689,490,604,
649,769,428,821,752,439,648,301,734,894,021,631,854,751,208,911,321,150,254,
963,077,727,688,679,965,421,085,614,947,095,832,503,715,841,949,419,181,215,
836,295,200,493,229,264,604,000,663,863,271,849,792,959,715,048,764,655,016,
977,030,013,840,999,171,606,465,987,269,306,361,623,607,977,816,535,986,452,
073,055,612,241,777,061,668,247,295,155,922,952,729,092,397,851,563,460,754,
551,950,058,948,156,084,022,662,495,103,567,516,306,828,162,837,952,793,510,
925,415,918,940,479,530,986,352,782,634,482,004,527,062,627,185,739,947,954,
754,221,424,128,522,753,332,679,009,256,783,662,842,892,728,378,866,687,265,
402,131,123,173,695,506,813,889,288,378,591,179,014,616,778,347,170,290,960,
861,137,302,370,554,750,045,707,147,928,982,331,279,844,871,393,618,416,129,
820,731,376,309,416,580,428,860,242,888,442,939,878,701,994,952,321,828,853,
882,208,353,037,962,170,578,779,624,208,152,724,495,923,873,583,019,138,220,
206,034,312,305,286,547,744,007,126,121,401,731,274,754,323,642,852,312,226,
271,827,525,247,968,791,855,296,751,327,077,385,052,385,252,630,010,572,309,
003,084,699,216,959,201,891,778,146,277,791,510,217,849,926,398,857,516,555,
345,040,705,906,728,596,001,575,399,860,915,675,997,525,471,128,477,074,695,
264,932,897,136,480,066,276,951,315,761,617,934,572,778,560,932,560,141,872,
052,622,905,591,905,340,967,551,097,307,169,846,433,824,951,202,994,615,083,
729,120,863,664,768,919,228,993,937,267,158,654,223,099,596,962,850,296,886,
064,726,575,079,015,202,050,551,196,820,761,381,712,566,531,616,617,327,510,
182,996,636,020,083,360,361,649,021,383,672,019,948,929,787,510,620,201,544,
701,663,878,022,114,996,383,656,769,422,553,876,862,411,655,974,236,923,859,
385,210,418,426,809,466,773,481,793,442,146,553,998,034,299,613,306,599,803,
064,975,710,484,503,888,761,670,034,134,684,790,645,185,954,768,257,706,283,
510,788,217,119,339,861,329,542,892,140,731,914,711,798,702,479,317,276,186,
304,564,667,242,723,642,028,259,898,340,313,869,479,548,030,406,391,724,715,
288,015,550,508,044,687,891,997,417,991,419,979,830,961,821,317,205,712,525,
670,122,576,442,528,580,013,249,008,382,643,754,926,681,215,796,292,222,718,
817,219,015,134,919,421,338,726,380,712,419,728,920,466,921,668,102,756,090,
898,556,051,594,951,391,387,117,074,078,885,867,767,953,997,626,779,919,548,
063,972,522,118,958,697,697,694,535,555,075,807,632,925,991,060,022,661,267,
526,685,534,379,276,729,314,271,512,341,900,774,042,507,316,709,002,675,437,
489,015,550,017,711,910,966,834,792,731,083,838,460,112,795,135,344,784,913,
878,020,579,728,930,936,355,148,328,918,515,553,765,351,159,786,734,665,538,
170,245,506,614,788,371,500,579,286,324,070,061,520,303,374,144,490,158,382,
199,556,306,821,676,966,024,605,945,912,452,770,597,850,386,017,276,281,037,
205,333,410,080,491,471,075,398,478,386,098,188,370,281,156,287,450,651,645,
621,642,135,210,318,388,514,594,090,910,219,567,558,462,558,036,260,805,424,
642,787,164,694,195,599,445,614,432,606,959,500,771,996,482,888,853,079,481,
635,630,354,721,827,067,330,295,582,881,243,727,647,887,411,337,484,240,201,
121,499,541,595,019,396,228,518,789,254,562,912,932,975,666,711,012,492,865,
838,261,075,239,770,674,938,936,125,234,512,808,176,239,326,800,921,639,609,
084,592,930,816,935,403,462,109,444,233,599,075,326,716,291,682,494,238,202,
091,316,258,177,858,574,333,233,413,441,568,516,665,909,345,372,880,074,212,
561,932,940,103,707,200,650,193,326,954,179,420,964,162,609,748,934,647,913,
881,734,924,318,369,165,598,039,957,729,888,132,322,453,558,262,421,501,926,
962,636,582,168,580,287,063,069,320,090,133,193,015,687,574,543,852,668,836,
679,909,207,337,940,270,031,452,805,054,917,202,140,907,944,828,488,368,841,
407,363,007,444,836,640,714,481,794,052,212,086,370,218,656,268,732,701,404,
640,599,590,093,208,416,000,053,776,067,987,024,721,704,174,769,213,174,568,
551,577,686,363,079,653,052,764,917,965,475,201,253,197,911,748,197,737,422,
691,006,446,588,660,727,672,946,714,350,658,242,388,812,428,883,088,681,628,
883,846,734,104,738,841,175,381,283,094,039,442,243,004,415,244,710,583,624,
376,993,603,992,064,108,974,176,630,082,350,344,373,688,717,113,355,140,903,
271,610,616,269,337,272,652,589,060,739,712,681,577,929,920,581,302,089,214,
590,264,604,008,625,781,705,639,905,239,626,724,644,719,026,405,016,815,519,
946,000,564,127,829,299,051,765,740,215,264,067,529,120,382,431,473,631,545,
952,509,578,966,675,653,648,061,729,839,535,815,595,970,164,218,871,533,020,
509,142,670,914,574,596,153,801,804,985,273,639,248,840,360,592,078,949,776,
008,022,330,464,332,779,131,621,501,903,392,347,776,206,104,383,573,821,247,
482,739,052,052,395,298,514,639,766,183,575,028,353,870,108,691,886,187,734,
279,405,923,447,133,076,443,400,407,837,358,404,884,595,476,162,900,511,205,
971,890,071,591,335,185,103,014,899,755,221,711,672,690,318,026,805,307,317,
806,005,069,769,157,022,663,209,120,121,341,837,719,985,947,031,849,639,999,
028,901,144,840,680,928,157,312,172,651,021,114,167,280,816,666,735,350,245,
481,585,944,663,601,189,406,824,155,216,422,985,425,151,130,084,966,150,900,
993,484,441,598,979,651,832,938,549,719,399,142,794,799,983,080,407,958,070,
842,957,421,876,055,220,964,699,477,944,288,358,533,903,047,793,665,798,512,
443,077,017,441,557,899,396,682,483,902,428,120,135,678,143,334,104,750,129,
607,958,284,017,758,680,331,807,362,925,868,833,007,143,599,432,434,729,281,
042,112,292,617,505,379,457,590,124,387,009,579,429,124,519,988,861,329,362,
894,806,012,000,794,623,875,720,810,235,150,877,783,750,017,094,990,711,119,
633,346,451,959,862,021,655,110,126,796,127,878,086,376,064,954,255,964,303,
433,715,608,308,805,953,398,399,286,872,808,820,004,008,481,155,153,173,250,
454,532,725,396,049,545,630,923,950,672,667,266,680,957,090,268,975,385,872,
821,825,052,587,141,948,491,907,599,504,032,751,276,884,915,416,035,668,086,
845,428,562,009,180,041,401,794,435,498,441,877,495,289,502,987,573,055,401,
789,463,849,695,833,490,283,577,107,540,141,135,420,174,788,894,367,409,509,
945,386,551,297,746,203,903,831,962,302,128,141,962,323,373,327,996,795,116,
039,547,672,031,100,941,824,139,571,384,890,524,772,961,869,808,931,260,088,
888,512,892,893,650,238,834,160,024,202,163,490,894,150,033,049,124,854,950,
114,371,864,151,329,023,536,972,420,728,076,664,500,527,677,316,656,042,127,
769,547,510,191,430,893,092,670,503,956,634,136,209,272,739,273,716,461,427,
004,217,901,726,815,052,618,526,267,107,663,895,024,053,906,827,359,245,245,
144,315,066,696,152,185,195,769,313,979,024,190,387,347,097,078,489,461,328,
685,200,876,512,255,112,693,522,176,575,200,534,885,482,605,649,166,002,034,
535,711,633,241,607,519,845,944,404,999,452,862,014,947,024,105,215,335,905,
460,246,596,496,287,486,737,104,242,640,558,394,714,755,274,577,437,042,807,
778,387,868,653,708,942,584,987,099,753,583,848,636,507,555,848,101,265,883,
823,680,104,059,926,835,704,909,758,619,628,382,907,907,147,947,058,995,295,
529,585,531,981,814,482,497,350,507,370,291,016,702,593,833,459,988,279,419,
747,935,536,242,513,130,784,892,286,819,398,242,228,912,524,629,636,035,782,
306,111,602,057,673,730,374,139,792,201,477,635,137,863,216,969,356,472,679,
203,317,327,417,154,423,549,204,017,751,215,240,905,866,830,460,363,211,743,
701,776,139,185,288,433,257,512,671,728,681,454,498,453,672,761,899,967,547,
538,393,764,453,231,554,925,378,609,920,651,436,057,573,697,962,518,309,521,
163,310,450,069,588,881,573,557,902,375,487,531,298,441,583,175,150,780,637,
991,536,198,732,672,996,724,889,274,191,391,941,870,500,386,519,806,916,440,
102,295,223,685,484,181,742,422,444,799,947,576,793,368,164,042,988,294,456,
915,442,689,680,822,075,984,864,541,786,775,350,695,873,279,667,287,712,376,
526,301,194,912,116,334,615,869,213,929,847,536,546,743,313,368,620,454,134,
494,456,790,875,115,301,506,615,404,163,360,381,783,119,731,741,418,009,737,
923,220,401,856,545,741,107,248,671,171,886,147,787,081,502,333,567,140,935,
935,404,975,941,037,982,210,461,594,615,715,831,687,453,514,869,516,808,061,
456,985,980,878,898,139,253,704,244,461,183,485,834,639,787,033,615,071,961,
837,049,808,877,195,988,435,091,640,498,653,534,854,904,729,917,875,613,964,
765,379,372,579,982,228,853,920,956,559,776,050,950,933,290,503,780,334,134,
960,652,208,341,109,146,178,612,647,511,573,428,359,922,282,075,284,532,285,
119,635,044,672,028,490,659,151,109,932,676,567,865,009,856,401,431,051,742,
594,658,974,755,583,878,165,437,035,725,083,954,975,701,567,243,334,615,961,
438,097,816,067,267,390,391,878,627,052,613,228,166,374,529,553,784,265,619,
535,887,838,042,882,869,621,999,920,552,435,945,003,892,754,220,313,108,100,
095,438,982,674,248,950,370,494,689,941,623,163,525,617,355,294,468,307,288,
253,890,862,624,610,635,352,982,302,920,456,072,485,704,126,003,756,045,329,
056,111,683,832,086,666,390,464,500,323,889,927,159,170,222,347,854,862,085,
116,775,513,958,999,806,491,551,296,542,084,307,298,523,671,777,123,111,581,
648,065,423,421,948,848,274,360,256,420,919,383,920,026,938,203,468,157,082,
217,734,325,734,474,907,921,494,673,277,858,458,733,374,573,894,488,163,486,
064,620,669,025,412,352,617,672,005,837,667,105,350,710,247,913,475,231,006,
815,582,187,936,319,139,842,264,261,868,650,832,559,795,827,820,584,669,492,
939,038,241,020,227,333,390,696,676,301,819,813,842,150,403,428,485,752,974,
000,561,517,860,618,831,231,949,871,603,620,176,633,945,897,030,664,234,269,
120,284,164,091,072,360,892,121,361,725,776,608,307,176,682,909,275,585,124,
580,691,380,898,688,606,615,873,147,210,643,573,528,614,462,643,494,161,250,
540,192,637,062,867,853,283,927,656,849,064,499,364,137,579,936,350,421,411,
001,349,001,967,615,057,175,106,485,171,857,164,302,164,225,968,317,315,072,
346,734,755,209,739,528,497,087,629,726,687,461,423,334,365,402,378,671,245,
806,175,073,331,556,002,417,238,984,047,825,184,959,683,392,212,961,721,362,
071,045,934,046,804,732,595,109,134,572,913,038,128,761,041,680,822,017,522,
864,312,881,528,587,476,356,459,704,433,432,168,766,254,045,033,409,878,426,
781,569,812,509,184,784,697,012,617,370,619,234,629,116,091,400,294,373,043,
449,560,402,150,064,508,939,168,615,158,030,105,457,506,027,563,474,423,578,
321,052,785,073,329,008,018,484,470,771,275,231,646,463,654,166,189,054,125,
402,466,741,830,085,674,199,224,625,022,014,662,588,802,212,697,115,624,606,
409,247,088,077,376,708,718,025,557,006,835,529,062,357,812,277,285,663,026,
864,368,129,952,995,500,921,769,563,758,292,906,429,939,821,330,986,873,774,
205,833,039,865,004,495,181,036,402,586,683,379,957,759,758,368,817,053,475,
927,058,978,615,041,035,281,702,719,349,929,124,686,096,746,764,681,582,295,
932,961,755,961,277,848,766,420,792,987,788,755,043,841,795,965,933,120,988,
167,940,623,558,540,151,006,546,060,866,330,051,681,040,589,805,966,582,933,
652,316,592,247,337,664,488,856,489,520,274,159,924,153,899,467,601,713,705,
479,140,359,784,327,354,077,184,330,823,286,980,967,844,573,692,347,398,917,
777,935,613,652,519,430,953,438,756,854,263,953,279,199,441,059,182,683,439,
615,507,154,618,973,057,403,995,124,796,904,400,193,135,564,421,641,331,566,
600,952,224,655,601,081,905,776,485,751,524,103,225,925,373,603,134,637,650,
547,578,453,033,012,718,783,772,918,513,095,084,163,208,765,120,898,735,026,
191,759,585,810,874,586,892,051,601,417,294,285,432,327,287,243,022,276,368,
279,410,904,664,229,304,217,933,091,358,216,618,595,143,596,886,079,625,251,
722,342,745,544,763,359,186,366,877,626,020,686,059,176,121,600,118,680,167,
156,122,652,594,324,336,726,047,084,626,291,987,395,886,344,815,348,349,286,
891,873,393,184,927,000,848,536,021,777,648,649,212,557,292,612,326,793,344,
619,115,431,648,250,753,124,617,652,011,661,838,678,372,941,947,978,670,894,
988,274,281,418,325,261,911,412,864,477,426,749,749,479,534,727,008,324,297,
172,253,871,332,699,573,586,062,047,336,887,235,577,637,894,059,225,637,277,
883,827,925,725,345,774,259,575,482,559,409,552,804,883,790,447,531,315,174,
747,404,887,717,150,587,658,704,667,244,638,398,036,433,151,364,164,935,779,
500,136,274,202,227,974,236,384,512,085,539,284,651,362,770,757,091,118,668,
022,172,228,666,333,670,989,084,008,645,966,202,651,128,388,032,891,681,059,
029,786,066,893,349,509,567,600,116,673,648,250,085,835,032,524,988,210,353,
297,329,495,077,891,295,567,189,222,298,020,657,769,279,682,760,152,006,422,
035,234,539,134,266,965,145,489,261,238,561,972,763,268,600,780,709,638,105,
430,632,494,470,106,792,840,466,728,068,731,896,265,524,432,239,262,498,251,
249,020,217,876,598,862,958,980,934,595,884,716,843,236,661,139,012,691,013,
936,010,421,349,179,927,864,695,308,305,359,188,315,402,109,429,387,995,643,
769,861,698,866,225,870,788,709,893,181,263,214,991,309,993,724,039,058,647,
676,837,251,409,058,866,723,779,609,053,394,372,507,140,503,222,955,174,402,
429,627,040,724,236,804,386,237,934,615,773,338,676,638,035,494,185,786,295,
400,956,888,032,490,851,780,903,944,751,977,458,522,479,493,270,951,543,259,
531,938,411,470,845,314,338,263,669,857,574,990,246,126,385,368,112,078,314,
378,316,040,782,663,198,413,133,170,305,827,399,570,307,091,197,925,144,854,
155,299,790,591,373,926,442,516,769,176,829,083,808,642,374,240,478,087,302,
214,610,517,463,220,511,487,055,783,116,427,197,181,663,484,313,691,441,601,
730,100,633,297,419,638,023,338,730,676,380,999,706,496,455,866,049,168,980,
193,432,577,815,439,679,285,411,983,273,135,594,077,721,649,836,011,562,944,
882,253,441,577,026,245,603,943,182,445,878,778,476,039,213,414,403,055,245,
058,852,608,124,243,967,706,158,927,036,931,803,554,634,826,393,824,726,054,
244,643,655,774,968,076,543,585,290,031,364,244,914,729,140,458,552,912,458,
030,802,579,385,260,732,452,857,716,163,834,122,947,006,798,714,836,127,262,
604,834,143,071,390,456,433,387,087,636,833,827,580,449,659,951,170,597,719,
841,634,804,090,110,264,758,046,499,695,897,643,677,233,914,493,798,237,217,
886,072,501,712,234,507,117,669,520,546,579,426,393,576,468,941,239,599,395,
903,067,766,452,946,047,356,419,511,466,625,990,834,437,362,219,479,136,198,
132,299,957,468,530,494,537,476,646,547,602,902,280,011,273,481,859,980,739,
238,350,262,952,141,001,567,963,657,142,354,478,298,786,241,263,545,222,648,
945,239,705,465,262,616,886,207,020,726,936,300,006,723,219,895,538,962,534,
947,014,360,392,252,888,445,820,393,166,182,611,517,313,023,900,869,391,768,
300,263,425,810,556,325,003,400,426,346,231,385,893,754,964,979,244,693,597,
173,092,590,171,375,020,732,087,909,461,139,208,906,785,977,567,322,022,543,
142,748,836,664,475,615,275,861,733,622,062,698,469,919,987,951,818,173,383,
864,223,673,766,587,866,311,567,782,419,392,741,417,768,341,326,746,737,690,
774,968,020,394,367,116,222,172,080,710,083,965,579,935,618,436,114,690,584,
585,585,533,213,764,382,459,114,001,788,072,529,758,744,528,562,398,346,811,
439,581,101,810,430,008,430,733,635,230,179,249,965,810,679,369,727,264,167,
480,126,784,821,828,290,865,469,117,771,190,008,743,589,640,087,432,648,487,
708,836,161,977,853,597,395,933,577,849,479,730,058,985,171,858,762,238,267,
355,956,998,288,800,711,333,806,830,760,858,002,736,249,489,047,033,232,297,
478,226,687,208,105,917,633,469,676,847,787,417,638,142,223,519,670,663,669,
108,640,905,559,317,561,266,143,235,106,967,309,944,561,851,695,004,709,214,
381,523,754,551,607,227,349,729,949,210,547,444,094,841,316,987,579,790,733,
697,467,885,325,419,373,612,777,316,431,151,444,470,853,287,890,281,115,356,
520,143,303,934,901,453,738,732,302,772,015,439,705,660,229,986,501,030,898,
327,201,166,524,032,190,191,600,311,592,969,727,401,235,922,218,990,517,976,
901,926,062,407,136,179,114,754,751,727,123,745,323,052,593,920,485,018,093,
213,859,370,273,941,499,177,917,805,951,124,287,861,582,694,390,114,423,514,
673,911,281,039,702,866,028,380,621,431,956,696,629,732,192,555,861,583,878,
197,183,587,719,436,913,389,197,844,645,562,776,746,523,043,599,951,798,451,
265,300,222,490,821,090,541,144,407,791,098,330,056,661,943,494,743,928,720,
715,265,053,298,773,868,691,117,312,046,472,810,845,346,040,017,049,822,423,
499,068,892,687,466,256,586,182,667,894,855,462,707,082,897,545,749,358,452,
090,722,380,372,082,694,732,105,452,414,972,364,267,500,818,565,849,609,936,
936,705,255,770,210,739,741,324,584,050,996,133,035,989,736,458,483,420,070,
103,972,042,333,267,396,669,035,356,246,665,885,632,473,950,942,665,028,200,
801,496,755,283,517,501,997,787,063,328,565,959,563,007,958,038,519,055,400,
199,604,741,231,683,810,518,837,557,929,560,560,349,955,009,917,479,243,648,
095,617,769,793,901,537,718,399,952,051,755,723,595,025,134,897,026,416,697,
655,984,749,684,056,928,109,060,713,925,834,535,831,187,588,003,646,686,075,
402,898,437,683,311,703,632,630,621,369,042,003,651,199,008,928,914,070,146,
280,239,206,413,917,319,684,932,225,035,566,215,940,680,465,023,856,665,463,
022,155,534,089,956,871,995,117,678,401,290,418,074,869,930,892,635,784,802,
191,113,073,726,669,312,786,972,166,704,704,561,622,884,396,695,053,363,856,
215,118,878,437,657,542,899,458,040,671,312,000,183,683,959,892,475,319,364,
548,337,482,580,467,278,364,283,858,841,735,509,037,709,586,887,198,361,770,
344,278,783,200,182,048,733,674,082,487,706,846,751,337,897,283,040,568,270,
495,574,729,397,830,333,464,891,848,984,727,786,799,135,715,494,945,208,941,
783,137,309,937,992,486,771,401,366,305,899,668,941,173,634,956,996,172,751,
663,989,916,945,699,783,965,122,084,011,146,842,886,445,808,306,130,840,938,
795,802,977,329,100,115,120,354,362,188,929,782,995,267,568,618,496,771,615,
548,174,022,025,004,942,887,683,355,958,022,142,706,729,299,318,589,822,516,
144,419,335,807,715,673,494,312,322,327,902,342,937,826,408,251,069,394,667,
738,162,092,916,655,540,886,955,274,669,460,862,007,873,957,605,134,046,227,
401,060,510,571,582,327,225,410,669,791,375,457,701,688,856,480,676,500,192,
152,194,100,091,641,590,129,763,232,026,781,008,387,411,207,187,081,728,552,
286,876,274,969,939,013,373,262,443,378,368,429,266,067,783,526,963,400,207,
544,075,203,634,523,572,481,739,847,788,523,745,812,165,692,823,661,891,209,
385,421,799,431,864,102,026,920,548,836,691,291,538,013,542,273,027,317,881,
843,405,327,715,587,540,841,056,764,508,487,704,509,253,733,516,905,187,836,
840,227,362,667,746,469,398,862,722,581,045,995,407,671,872,073,050,943,600,
439,347,758,929,169,685,641,238,192,410,256,680,257,413,806,225,018,760,573,
143,670,077,507,117,343,406,246,355,375,103,627,058,006,328,543,644,817,007,
502,521,207,672,234,437,244,373,872,138,460,987,620,960,890,874,372,269,618,
039,469,917,067,119,363,117,337,157,237,944,705,152,545,568,093,748,292,992,
883,533,284,876,632,078,063,400,947,783,342,730,886,249,689,999,854,333,686,
897,496,352,965,797,142,688,593,287,151,104,393,737,411,963,327,343,349,258,
815,171,058,809,989,216,329,246,605,514,973,340,134,896,493,919,476,751,928,
004,564,909,070,125,688,035,281,758,555,043,655,048,156,482,534,185,099,026,
526,954,974,802,662,808,951,370,917,988,229,757,782,238,654,453,062,428,748,
349,647,106,296,408,882,559,206,336,836,469,125,200,078,908,512,663,179,835,
529,444,061,112,130,262,473,933,291,966,481,515,442,759,374,536,580,242,406,
547,769,137,130,522,736,770,388,515,717,975,518,761,914,462,019,559,466,110,
108,630,779,915,430,021,985,248,235,665,220,629,274,702,080,136,290,183,191,
731,945,094,829,790,618,598,156,259,148,279,203,349,486,640,817,778,436,936,
918,341,512,079,260,407,614,957,063,022,699,434,791,555,847,297,400,542,165,
777,517,239,755,255,753,434,171,471,066,465,520,299,027,668,893,647,869,347,
074,162,809,897,931,949,909,092,081,363,152,261,222,326,615,579,647,964,735,
827,678,425,023,960,281,427,139,025,873,392,563,964,000,769,211,376,779,074,
927,752,211,901,047,515,634,037,488,033,028,722,157,817,938,156,113,226,417,
335,846,958,245,843,929,878,802,203,903,480,613,535,199,348,166,597,856,445,
337,083,127,917,355,250,868,286,637,991,515,455,481,870,784,512,993,760,738,
755,506,246,681,534,951,960,062,656,460,331,688,006,560,333,940,735,174,120,
602,862,579,143,250,405,168,856,424,354,947,242,122,963,606,704,773,565,273,
642,503,884,526,585,775,111,789,100,936,836,825,964,009,019,708,414,074,496,
526,310,592,260,008,411,693,473,423,454,399,264,412,203,065,384,804,659,815,
557,124,020,375,666,971,282,168,907,018,096,672,054,563,012,975,274,438,366,
329,895,832,321,571,060,710,373,655,378,751,074,344,929,778,258,872,138,902,
908,352,113,250,217,554,617,401,320,203,302,662,839,344,944,120,427,788,931,
690,804,379,196,950,697,233,808,363,507,768,574,813,797,044,678,058,659,972,
271,582,413,612,585,264,654,859,059,643,592,530,486,341,234,714,697,303,629,
383,002,865,941,345,437,902,247,532,182,815,812,099,004,727,545,670,208,043,
216,137,148,898,970,843,352,238,511,743,509,218,817,526,077,959,142,791,738,
261,561,508,028,397,301,364,804,356,272,613,939,923,860,141,546,759,063,357,
836,794,581,831,196,760,256,200,038,408,530,350,292,067,594,027,655,072,839,
390,045,873,250,238,634,969,151,911,386,601,558,014,669,284,626,479,496,979,
621,786,701,236,033,674,295,262,831,221,665,028,291,726,798,566,169,371,511,
206,169,477,503,342,162,207,048,265,654,671,491,553,519,913,453,070,513,727,
230,263,579,955,118,119,390,377,232,280,599,781,833,201,013,801,436,594,274,
766,328,962,770,922,253,544,899,843,360,980,084,115,911,782,991,000,656,298,
524,697,985,574,851,291,963,789,868,121,183,477,447,918,331,194,839,596,980,
471,680,448,284,828,552,143,332,961,661,328,194,471,757,750,134,594,683,465,
320,852,127,762,242,444,409,883,274,446,919,321,180,499,449,999,196,492,808,
498,307,149,855,948,500,112,034,006,239,936,453,675,863,903,954,377,278,175,
434,177,325,725,991,700,385,276,109,721,974,606,948,725,591,416,045,002,439,
066,258,419,231,104,781,935,310,365,256,700,150,475,051,082,724,109,864,199,
611,995,399,573,187,067,201,192,581,502,384,974,473,270,392,186,842,213,883,
525,486,055,281,995,407,094,640,032,561,531,631,791,061,522,219,281,228,666,
697,939,604,675,770,533,402,316,938,107,902,768,091,370,716,703,145,553,601,
115,916,767,674,358,494,903,124,957,104,501,681,903,576,713,508,758,418,464,
137,432,949,416,517,920,688,293,591,258,899,155,781,694,497,005,999,635,792,
522,059,195,399,926,374,215,837,965,910,797,894,754,531,840,509,233,224,831,
044,205,563,358,169,082,774,306,162,694,549,842,801,134,807,163,812,034,355,
828,437,676,710,866,627,113,739,654,370,758,333,815,872,108,274,192,538,540,
378,717,501,944,297,105,445,860,743,882,881,214,284,289,614,543,283,701,331,
915,566,658,376,605,036,476,687,245,946,054,057,529,193,589,358,167,215,966,
787,353,700,413,106,689,854,862,303,578,770,916,749,973,452,905,592,512,438,
905,136,548,136,869,737,221,051,703,421,240,469,009,670,787,120,553,019,778,
943,593,992,611,877,686,027,805,079,331,740,882,008,244,668,431,656,353,160,
363,447,391,307,332,849,575,022,831,855,962,632,455,457,690,234,037,965,666,
637,101,233,848,062,292,780,620,805,258,051,697,749,021,069,982,387,328,835,
589,562,322,360,629,701,178,287,440,624,765,783,407,899,519,524,282,379,669,
182,953,250,384,075,439,996,439,590,248,116,520,094,916,388,229,562,294,217,
546,145,325,647,160,626,030,187,004,022,442,365,762,187,054,892,380,432,679,
562,981,878,311,894,688,463,184,728,154,504,321,625,334,642,271,651,676,370,
832,727,657,293,482,700,348,033,971,693,341,419,525,683,417,360,269,446,881,
923,287,642,257,738,842,657,658,798,440,217,266,406,793,003,336,065,225,219,
026,216,743,745,128,538,326,708,969,431,068,069,205,016,846,316,777,171,249,
816,517,449,017,167,466,005,468,237,482,866,538,001,330,536,824,417,843,792,
248,056,851,164,135,344,465,824,006,666,610,829,507,786,704,364,350,137,046,
417,368,118,187,986,967,789,849,831,814,748,671,930,637,105,410,716,943,086,
681,693,584,807,826,413,791,073,040,291,745,723,908,790,719,462,968,121,931,
691,513,635,366,328,708,591,329,576,407,467,638,219,981,880,240,935,767,751,
791,001,408,325,883,033,262,937,460,896,064,187,760,620,798,189,842,675,418,
978,947,182,299,645,038,721,073,603,292,508,329,504,774,881,450,504,843,644,
106,739,394,832,479,311,658,556,016,656,253,254,130,653,603,787,638,427,152,
872,985,286,674,412,622,721,404,875,229,055,121,230,642,991,100,374,317,834,
883,972,342,478,673,368,636,769,060,075,061,713,704,260,467,053,248,569,043,
921,646,802,657,679,759,580,841,083,104,810,154,632,751,347,632,313,482,736,
104,223,839,048,389,220,187,268,516,248,411,299,417,005,238,833,411,961,506,
051,810,856,259,028,941,885,216,811,993,488,544,386,366,122,111,455,840,872,
203,498,556,956,249,527,498,833,594,007,414,438,829,854,230,251,631,288,541,
328,866,276,088,349,217,588,233,700,437,469,038,723,561,744,598,179,541,870,
036,816,195,973,800,654,418,128,609,143,098,966,471,430,718,030,831,002,768,
014,141,040,840,939,760,589,675,292,330,830,658,355,004,058,110,080,226,190,
869,599,189,777,127,819,019,255,502,907,496,211,488,267,605,746,337,557,077,
694,934,119,920,847,467,963,827,308,991,050,862,890,764,363,317,792,758,234,
326,569,700,446,743,277,469,274,202,009,829,383,623,421,986,092,106,540,886,
153,310,798,295,364,540,398,416,549,450,378,490,969,614,972,104,926,321,068,
980,416,679,666,163,439,415,687,324,731,322,237,717,252,294,970,621,269,300,
728,883,798,694,508,480,478,756,893,369,133,995,426,324,229,724,823,386,361,
234,181,000,451,432,623,537,206,820,267,436,873,620,253,087,067,893,122,659,
706,329,121,573,870,875,091,987,235,788,192,888,755,885,782,058,136,785,752,
020,457,436,826,226,505,588,636,163,342,342,683,570,696,657,518,596,817,678,
403,381,890,068,108,359,740,391,333,060,202,581,074,397,937,046,007,783,151,
294,156,347,021,048,321,039,941,317,956,437,455,197,393,432,889,016,240,044,
194,561,919,273,537,916,242,597,597,251,030,790,992,815,615,305,899,436,341,
181,151,686,078,386,324,075,487,411,300,884,263,700,898,985,852,665,540,750,
640,365,332,357,050,647,092,949,957,425,229,902,658,003,465,622,772,363,156,
523,659,750,824,754,588,954,392,331,261,851,170,598,449,299,972,007,652,156,
730,527,722,931,906,097,130,192,044,967,204,962,579,530,850,701,274,182,999,
131,472,251,944,818,684,785,618,021,192,075,618,498,727,850,257,262,956,468,
305,853,166,771,638,969,512,014,224,396,627,960,856,567,732,775,201,845,794,
975,678,566,136,408,220,396,642,071,263,949,390,687,876,328,971,577,999,307,
677,791,681,372,287,395,851,903,079,911,215,557,852,568,539,766,946,284,182,
346,058,006,803,994,163,454,792,466,660,920,283,475,276,219,748,746,155,405,
717,293,962,452,264,262,453,704,983,915,466,447,555,863,364,608,558,515,855,
402,746,366,943,659,926,133,383,423,270,423,280,437,278,280,954,554,256,527,
804,902,603,380,914,967,821,503,722,220,321,065,214,828,359,346,054,951,663,
718,312,484,971,233,308,645,481,669,580,120,429,645,380,460,098,942,958,732,
017,954,528,672,627,488,044,464,783,220,213,338,305,349,113,906,306,455,271,
268,508,097,041,994,906,320,566,329,439,043,954,578,974,097,576,063,284,196,
067,628,516,197,369,710,956,993,825,865,610,381,021,880,930,380,934,745,285,
309,804,198,779,993,974,735,379,955,361,360,930,372,865,079,256,794,926,347,
469,056,780,022,402,620,899,782,697,135,215,062,720,686,693,864,127,789,004,
344,869,745,103,659,533,099,995,315,205,853,584,346,428,632,578,050,525,068,
817,325,125,034,335,215,411,586,947,148,518,388,047,211,189,966,051,513,029,
638,197,498,927,226,031,384,138,549,684,437,263,362,493,555,622,011,615,245,
087,837,213,746,186,259,876,117,269,382,636,004,152,715,749,014,513,480,992,
046,929,824,420,557,392,098,403,021,914,159,356,239,815,105,199,505,771,998,
336,092,925,852,182,264,882,978,349,256,604,108,409,444,281,928,118,262,930,
341,029,476,301,554,923,073,506,825,687,369,172,096,839,205,412,407,135,262,
990,001,069,036,458,219,190,823,749,592,559,773,087,299,064,368,848,324,265,
084,613,110,681,281,401,070,690,650,490,129,038,365,583,470,461,349,125,719,
280,576,562,389,509,926,808,263,471,202,676,853,765,367,787,126,958,166,620,
367,252,313,069,134,178,616,340,724,990,065,351,159,259,152,570,863,124,446,
219,069,438,579,415,872,517,812,068,387,985,654,351,507,075,347,957,817,343,
984,478,575,545,019,691,581,143,546,100,376,309,362,213,016,505,554,591,736,
011,280,678,671,297,122,445,159,527,908,930,505,741,154,386,347,191,755,230,
928,269,212,418,761,016,134,495,087,574,889,196,709,815,649,675,999,880,757,
857,508,529,917,139,070,360,320,543,979,205,493,096,751,742,272,348,304,159,
427,419,301,586,050,103,657,302,650,515,895,060,048,677,207,146,746,061,037,
939,622,516,273,219,663,317,988,238,512,668,548,637,607,282,701,082,598,319,
353,616,200,516,153,987,254,886,439,407,446,784,061,924,329,034,469,489,275,
394,441,216,449,344,072,424,295,199,046,612,090,893,906,797,134,175,461,006,
116,651,870,819,793,581,283,900,244,614,878,701,731,897,861,620,754,961,141,
961,315,226,207,054,156,904,893,842,877,842,739,563,508,749,895,591,097,733,
293,891,405,962,060,768,965,258,463,629,266,239,149,099,267,090,719,922,914,
821,713,671,785,918,432,606,100,467,477,026,803,508,826,982,312,634,559,567,
024,221,519,375,877,392,544,763,428,422,164,523,543,840,425,896,284,562,860,
078,557,676,036,214,224,211,229,504,053,423,189,112,409,389,909,956,045,647,
754,882,578,186,981,230,232,565,811,115,255,646,517,464,541,551,577,777,836,
231,245,605,786,473,695,535,807,087,597,002,658,866,779,021,437,350,114,636,
059,791,536,917,885,075,514,420,476,029,223,762,675,311,114,143,069,252,511,
984,788,493,039,329,951,157,371,246,445,127,326,155,198,335,011,040,920,788,
650,544,109,495,270,278,923,253,850,297,738,854,213,846,716,531,791,613,043,
663,698,958,068,760,312,393,198,909,113,690,647,265,781,086,218,457,640,138,
047,633,759,557,026,618,352,661,387,283,036,163,578,612,151,555,718,324,459,
069,640,440,848,991,704,469,828,027,283,221,578,767,767,099,880,242,833,023,
738,810,639,655,478,793,072,248,746,425,040,398,182,033,839,073,197,412,868,
650,870,820,451,361,343,152,583,903,542,200,589,589,585,461,739,611,486,231,
620,879,619,581,440,061,012,959,364,275,148,145,162,349,768,063,142,661,891,
927,984,585,494,980,202,776,193,425,986,907,925,823,564,814,673,524,544,785,
028,840,996,643,599,352,280,192,100,799,219,988,001,695,816,691,490,064,340,
223,084,650,137,032,777,679,669,754,428,673,416,973,884,540,146,160,263,547,
229,099,660,150,763,563,863,226,707,265,747,138,339,936,877,598,186,600,951,
289,695,122,874,484,487,191,061,262,965,898,456,621,645,094,956,816,043,116,
802,419,164,378,105,438,172,376,434,069,559,732,181,345,864,905,543,739,213,
038,723,537,453,882,587,644,944,067,407,191,357,732,384,945,415,232,869,013,
466,378,690,888,005,643,568,008,335,588,464,247,233,528,605,706,926,186,323,
463,801,188,211,098,260,882,597,825,989,850,244,905,765,617,760,330,542,973,
445,039,855,636,175,676,221,167,528,700,730,533,233,833,053,252,145,762,921,
803,890,883,052,148,582,072,570,280,875,939,202,313,686,240,298,439,013,689,
409,175,312,397,139,586,457,289,358,051,891,418,844,048,469,406,128,780,920,
740,089,960,225,967,577,994,592,814,475,516,328,055,353,410,794,152,656,839,
039,024,561,998,815,881,728,799,980,265,574,439,225,029,060,542,286,351,280,
830,883,433,056,382,357,303,008,479,348,221,166,829,284,860,165,203,749,459,
612,334,543,646,721,118,032,332,901,452,705,876,662,247,486,968,630,862,808,
221,810,490,645,404,379,821,380,582,567,718,687,206,831,911,193,128,719,481,
537,981,962,964,183,510,733,823,696,585,051,891,264,446,552,032,484,896,274,
849,204,137,558,296,551,253,705,404,128,706,892,511,418,319,094,094,004,376,
009,342,283,045,730,200,780,842,056,286,225,668,371,339,381,312,189,012,703,
544,057,045,954,283,904,380,714,186,434,889,785,993,160,894,154,681,179,524,
780,047,812,482,775,594,827,323,031,781,044,814,713,556,041,379,332,438,545,
771,467,193,143,368,382,998,943,454,023,522,289,580,117,626,115,381,544,567,
698,459,524,352,858,846,403,050,180,943,288,635,892,715,675,217,616,031,525,
231,579,780,202,947,631,575,088,150,937,357,595,192,422,909,355,980,268,238,
163,158,560,356,362,802,779,429,241,839,686,743,211,606,350,243,729,332,519,
788,870,848,038,363,112,254,909,492,888,559,161,051,105,045,937,753,560,502,
463,867,520,205,126,009,138,165,526,203,826,171,994,269,387,629,863,530,177,
524,172,784,241,937,243,131,140,616,654,376,612,182,777,666,071,956,504,273,
311,267,253,869,660,771,539,666,215,490,283,442,259,611,788,422,835,796,514,
550,564,328,894,464,675,177,617,583,495,689,920,816,906,552,943,083,480,921,
431,704,291,948,748,051,014,748,874,204,013,235,096,920,115,388,567,004,353,
893,103,773,590,237,697,399,743,033,008,113,029,426,042,195,926,436,552,206,
928,050,095,865,867,791,199,134,450,780,989,295,927,426,671,912,973,917,468,
435,079,873,423,725,525,113,665,806,410,122,536,552,794,770,960,384,051,898,
670,885,779,736,663,529,146,068,304,305,472,944,872,615,754,914,232,955,635,
014,269,770,455,565,251,803,396,176,554,324,299,490,817,499,346,661,726,438,
558,344,587,477,022,871,741,193,419,307,788,996,238,684,746,678,668,539,193,
206,806,689,971,115,082,455,809,982,627,679,394,914,979,563,257,678,697,180,
488,684,882,659,560,920,491,735,380,968,238,212,011,786,016,476,490,443,978,
337,554,343,780,622,604,074,354,875,656,039,344,824,515,678,663,810,375,534,
745,359,796,230,842,552,531,128,187,499,064,880,133,430,895,644,367,277,085,
817,869,280,551,303,782,384,564,576,533,611,698,601,770,713,264,455,226,361,
940,527,898,984,351,168,722,259,385,921,182,896,176,758,405,327,576,041,509,
659,129,204,873,910,273,585,834,388,401,917,363,879,252,820,381,609,552,510,
012,825,586,466,133,913,463,849,189,766,285,210,266,624,551,673,684,430,293,
174,011,851,259,190,753,954,608,732,107,024,753,334,483,440,738,222,643,885,
678,951,497,623,997,784,162,329,765,615,057,320,391,936,011,457,215,919,495,
849,051,481,366,273,495,023,532,712,695,237,935,453,411,566,505,887,309,293,
167,064,390,248,694,485,395,427,116,685,952,932,179,058,329,006,442,055,395,
163,206,877,945,020,120,690,367,596,742,693,394,200,780,417,783,391,597,401,
513,437,120,559,082,908,691,907,598,104,320,380,281,996,206,884,815,588,582,
242,020,436,781,641,774,359,298,197,161,418,596,768,505,868,319,270,347,220,
990,819,509,566,566,995,122,088,176,152,141,659,958,304,521,585,824,926,281,
345,372,439,718,451,670,919,107,079,055,078,090,616,772,423,726,407,957,068,
568,751,501,721,051,234,964,766,370,993,565,061,349,104,672,534,839,269,071,
289,514,231,282,902,181,625,386,959,229,410,580,136,347,949,903,983,234,631,
674,863,926,621,517,091,659,995,411,082,756,043,004,979,207,934,819,484,165,
892,199,770,953,250,606,173,263,947,738,379,987,747,275,044,060,164,770,662,
164,205,391,582,791,814,119,530,063,331,404,342,495,518,254,547,344,996,709,
372,335,112,496,376,061,921,090,534,193,884,092,532,167,099,247,704,724,221,
590,947,358,530,594,822,933,125,402,629,012,175,561,481,362,120,838,460,177,
693,248,400,394,507,529,704,950,386,621,918,937,185,082,347,817,529,362,614,
766,786,641,539,727,351,706,033,564,554,593,685,615,204,768,648,283,860,114,
126,992,240,568,868,112,756,748,350,944,092,334,594,968,422,986,145,003,131,
444,738,082,591,103,527,852,985,104,786,413,715,361,209,723,863,469,787,242,
526,359,164,331,111,029,949,152,922,039,540,530,677,419,818,030,854,568,323,
023,943,752,413,502,049,049,777,125,626,009,610,452,226,731,018,089,601,438,
665,095,335,921,799,155,909,252,362,117,188,080,931,128,375,649,252,276,765,
291,951,145,776,286,273,621,951,898,580,483,055,462,123,174,122,137,098,083,
915,533,283,342,021,696,187,481,953,450,709,529,562,532,067,111,167,738,486,
845,439,082,567,950,697,198,930,197,503,258,703,776,965,430,055,111,393,031,
161,701,364,768,842,564,033,659,810,947,876,043,942,719,205,539,861,397,098,
213,749,553,815,885,002,740,983,256,727,787,148,092,724,966,298,729,128,595,
402,536,120,469,405,513,347,293,325,869,487,699,334,189,864,066,052,316,798,
251,578,630,442,138,880,435,578,476,368,647,843,618,577,313,789,998,416,016,
598,563,798,315,903,037,124,222,879,272,301,737,215,955,824,555,246,485,329,
304,132,940,862,858,458,449,676,669,534,843,056,809,113,271,264,991,859,046,
006,835,234,804,839,448,379,942,288,985,863,991,456,478,722,777,698,199,661,
594,541,965,990,237,169,818,461,887,459,274,246,413,348,648,199,378,982,240,
575,510,706,006,511,693,245,474,977,765,765,361,037,438,446,625,316,434,917,
181,297,410,675,143,499,475,573,101,731,243,155,547,141,103,093,970,589,679,
459,740,663,463,486,820,393,391,906,839,238,923,686,295,728,385,348,650,582,
984,621,024,114,870,586,480,948,019,649,342,788,021,015,888,204,651,218,140,
636,668,009,803,486,517,504,104,889,853,939,216,085,078,313,039,559,007,411,
702,535,779,474,303,853,491,377,482,597,589,003,855,725,791,455,538,198,841,
955,018,041,886,862,096,887,816,546,554,832,885,437,369,942,799,509,545,767,
893,409,669,158,257,640,839,258,432,287,481,886,815,738,554,262,180,913,426,
453,253,828,339,801,495,800,581,517,458,340,931,715,156,641,629,179,800,696,
600,637,415,120,094,960,155,650,185,688,133,977,198,096,256,458,349,618,461,
235,643,318,649,888,538,110,131,753,146,583,034,024,102,897,348,146,886,778,
066,686,085,402,527,056,523,490,319,745,947,418,936,745,346,010,811,628,656,
320,124,360,097,206,610,712,970,977,141,283,359,196,285,158,874,462,216,756,
612,757,265,220,394,369,989,920,088,535,120,182,593,695,581,134,173,235,261,
371,194,442,960,520,030,982,331,239,403,708,670,320,673,273,812,288,566,869,
137,099,335,790,908,277,223,384,633,275,867,812,982,562,486,136,438,047,870,
079,514,701,363,605,472,700,217,064,484,052,680,965,143,316,788,617,984,356,
929,877,105,697,758,391,358,003,616,697,631,502,765,273,012,646,097,691,757,
380,764,004,011,785,342,580,884,786,734,490,131,619,777,067,973,677,361,686,
939,162,273,984,007,194,704,615,746,184,185,911,057,439,415,048,413,797,224,
381,102,746,296,786,030,887,168,740,712,001,697,103,595,418,807,856,730,498,
555,617,035,999,991,944,291,525,540,635,887,699,216,698,190,945,602,610,681,
140,512,795,804,048,111,339,677,935,552,299,417,105,449,152,496,851,830,884,
900,815,657,733,806,606,270,018,098,303,593,619,636,035,378,606,803,077,348,
031,768,242,358,488,755,354,647,807,219,820,805,564,935,492,030,742,771,235,
163,765,989,717,193,489,753,521,596,246,990,775,791,458,409,649,899,323,453,
999,784,077,847,017,248,024,718,648,969,211,447,842,129,245,315,835,949,020,
525,997,049,376,466,469,272,877,871,243,739,487,575,954,710,571,970,423,164,
654,427,179,134,159,868,633,825,511,395,530,774,607,144,025,010,644,060,723,
450,611,872,100,232,469,954,289,373,280,313,259,028,823,049,270,218,690,534,
808,937,065,861,454,686,534,244,628,286,490,846,153,191,622,493,835,337,026,
375,265,918,965,715,784,969,887,167,128,230,192,555,820,624,963,391,408,839,
071,991,011,127,393,003,527,479,435,448,909,396,751,516,669,351,103,228,188,
951,820,117,237,028,182,568,642,014,239,436,701,929,186,418,484,387,063,358,
114,298,290,099,406,798,859,509,394,670,701,013,733,900,277,660,724,047,701,
025,144,250,873,268,143,041,210,304,924,489,257,565,801,597,332,115,672,381,
769,965,071,677,793,308,079,800,028,372,802,291,484,088,068,357,540,043,872,
809,089,397,531,630,672,357,812,122,578,557,036,232,043,727,807,599,889,338,
627,385,498,457,388,514,779,297,486,868,454,942,514,215,675,751,074,346,092,
908,391,514,807,803,481,473,080,646,700,530,961,429,101,920,386,400,435,978,
236,403,067,034,436,365,807,803,443,795,819,393,022,009,012,625,079,073,203,
180,659,588,474,246,184,755,691,803,797,383,825,410,267,715,755,566,935,801,
203,259,657,926,703,305,118,919,515,826,805,867,810,407,782,142,077,997,490,
362,417,332,790,492,777,073,754,341,534,215,311,097,615,773,076,107,471,174,
347,564,424,674,831,003,297,949,359,760,393,613,982,910,749,417,306,670,690,
526,334,838,702,249,021,688,998,168,493,841,950,909,526,433,489,753,985,136,
673,100,471,662,742,751,199,867,256,023,625,949,940,604,034,535,587,387,028,
563,080,161,829,744,372,086,462,775,380,679,011,742,624,866,069,025,121,831,
003,901,286,787,049,644,969,107,852,474,719,140,829,289,044,032,708,787,660,
140,781,573,368,034,013,534,099,017,478,610,799,129,262,243,950,182,549,946,
696,741,445,506,532,463,162,663,345,475,514,577,473,898,919,478,403,903,088,
837,027,248,058,998,250,491,590,418,740,956,627,581,015,154,500,902,369,933,
107,037,407,650,123,274,948,377,824,567,638,045,997,287,348,054,701,366,050,
801,640,497,944,893,541,529,181,664,061,889,202,536,757,241,172,771,096,237,
279,532,999,767,512,228,092,132,333,696,197,197,053,273,537,495,265,527,569,
474,625,172,778,770,453,032,030,074,701,225,788,190,569,860,691,541,060,382,
045,116,008,964,429,571,909,828,244,689,505,858,360,095,888,522,371,063,957,
467,857,821,854,349,599,337,358,695,158,554,032,076,134,822,431,399,177,284,
028,593,140,143,986,629,232,382,401,914,300,464,621,971,113,985,923,952,152,
930,916,745,006,047,752,957,517,469,640,794,382,220,360,290,134,721,404,783,
460,269,422,826,426,169,704,481,390,163,014,016,152,037,695,367,170,401,897,
384,891,641,639,420,699,243,246,440,576,874,540,380,148,941,248,897,029,277,
341,754,994,808,606,851,655,779,552,533,513,827,333,728,043,685,839,347,576,
218,277,698,980,118,400,317,711,599,846,000,719,745,565,096,489,338,615,420,
164,200,213,882,052,939,739,787,071,601,055,803,869,938,356,147,127,532,422,
322,039,115,468,989,032,450,992,659,312,531,257,209,995,844,192,432,769,727,
755,001,086,284,833,796,603,837,273,134,693,951,439,303,352,048,229,716,547,
946,196,953,683,990,024,536,848,203,411,142,912,847,267,634,762,915,288,171,
833,078,281,597,121,450,421,914,249,428,893,060,385,774,430,219,145,243,825,
661,492,360,718,390,975,861,706,191,690,438,194,824,482,558,239,470,165,352,
139,277,811,894,247,070,299,271,139,573,542,417,339,432,374,278,672,339,099,
656,076,547,447,931,343,849,494,445,124,098,274,273,396,434,071,310,325,170,
780,357,832,533,369,387,305,744,782,488,779,368,694,228,715,826,199,972,845,
561,245,603,184,129,978,345,324,908,089,112,959,460,939,823,401,634,427,568,
381,420,283,496,155,293,345,215,068,039,908,622,088,203,215,222,156,669,139,
444,200,655,911,422,540,255,846,757,114,422,011,989,458,299,026,503,790,362,
489,405,922,257,172,592,457,393,021,183,806,858,507,148,064,565,588,935,433,
539,916,206,472,239,870,670,430,801,799,815,381,575,001,124,575,950,295,575,
574,639,490,977,138,684,648,891,143,326,633,235,864,983,176,394,217,267,228,
109,117,571,604,427,083,068,417,262,350,392,244,649,545,317,869,576,883,244,
736,152,717,435,268,340,238,745,301,891,778,470,568,767,168,545,709,131,636,
822,606,084,114,392,913,931,384,352,738,886,244,122,570,603,104,143,972,349,
390,856,899,580,250,532,366,857,898,842,802,814,560,260,494,916,634,091,911,
042,796,025,755,231,015,478,509,769,563,344,801,630,124,559,796,935,796,918,
944,878,462,465,527,742,139,780,835,967,687,464,918,807,780,652,987,233,924,
900,329,810,925,637,922,042,327,628,452,640,867,281,257,704,650,850,824,705,
522,324,011,209,977,268,676,969,386,279,804,729,176,145,453,703,278,819,035,
157,369,367,311,667,120,191,323,192,373,211,894,161,552,871,390,110,450,837,
536,797,265,116,604,884,243,563,437,397,849,348,981,979,916,412,259,170,952,
110,240,040,021,487,068,208,093,759,289,705,982,620,505,421,715,580,296,526,
738,955,577,078,131,513,585,791,495,648,175,076,205,640,589,547,705,433,699,
644,668,834,858,976,089,033,671,714,782,589,103,104,962,281,426,013,294,378,
507,176,402,418,340,273,610,074,609,969,950,746,379,762,339,688,219,315,400,
698,930,657,934,527,012,966,327,485,024,802,335,061,558,154,738,626,748,563,
787,243,921,989,264,565,245,170,480,746,734,932,918,213,755,408,233,962,481,
768,498,844,348,906,772,766,757,185,473,952,631,702,169,802,435,187,806,451,
945,386,527,411,676,534,317,037,308,492,793,257,432,515,077,103,741,843,896,
402,620,445,562,129,791,091,758,242,735,504,080,418,839,155,213,682,297,622,
279,864,188,871,558,784,876,827,763,863,474,994,334,731,955,621,362,467,583,
448,578,836,500,206,396,627,429,285,421,904,452,346,443,599,905,118,643,632,
294,427,206,091,252,227,188,349,772,383,904,550,722,982,001,600,700,430,740,
909,738,177,219,825,353,773,645,984,409,252,045,672,061,575,518,552,173,656,
757,387,306,895,531,467,343,742,840,708,596,356,657,927,700,238,957,576,569,
607,933,055,992,246,828,345,655,192,732,079,948,080,117,353,090,937,262,452,
619,150,253,089,937,299,076,438,250,541,425,735,172,239,724,893,604,538,332,
001,390,839,154,143,802,930,003,843,690,884,359,478,805,753,082,253,874,495,
368,770,515,667,300,226,377,429,636,769,243,422,264,917,004,362,040,580,487,
073,925,215,088,818,505,267,917,387,688,484,524,143,392,867,156,057,691,347,
915,980,380,071,778,744,613,860,046,684,368,868,139,017,187,897,034,152,420,
741,814,300,990,371,984,862,055,639,678,651,414,194,641,368,424,811,168,708,
195,425,401,147,186,538,557,693,936,706,012,351,467,606,256,920,636,108,297,
425,616,652,602,077,509,153,051,172,622,215,559,783,331,039,982,775,338,231,
203,809,163,453,462,511,078,525,744,700,585,084,795,870,147,021,366,608,948,
056,584,427,784,686,225,195,663,573,184,727,000,593,372,849,441,852,971,580,
178,327,805,586,138,395,085,690,110,350,385,799,038,721,221,588,952,513,004,
049,395,877,347,820,677,343,015,834,108,469,799,688,143,818,839,461,453,431,
782,535,566,904,973,522,829,316,109,911,999,671,532,026,793,881,959,116,847,
766,860,018,961,792,075,703,122,241,447,247,579,469,291,408,151,508,991,045,
942,936,648,807,928,097,250,672,581,160,758,140,527,703,666,330,552,915,754,
424,056,844,114,823,334,859,468,756,353,758,150,984,508,021,221,909,652,747,
212,182,192,509,400,213,333,689,555,916,141,739,545,736,558,962,067,860,620,
489,258,735,528,502,685,378,424,181,346,796,879,915,272,955,978,632,975,952,
842,211,743,325,830,660,039,698,803,448,048,409,431,811,716,373,328,323,706,
868,883,829,820,625,971,389,149,747,043,900,176,653,580,564,093,554,701,491,
360,633,178,903,876,683,064,222,898,427,502,932,746,478,053,086,532,723,859,
011,648,789,687,836,700,579,120,101,160,438,922,358,246,257,176,391,352,495,
908,681,822,287,025,307,597,718,735,722,464,441,873,932,056,355,411,004,692,
615,101,806,206,409,242,643,681,415,118,494,855,508,954,128,561,755,515,922,
239,728,938,814,733,250,008,425,479,724,008,057,035,335,309,252,546,538,818,
888,139,651,569,271,047,938,781,840,391,284,367,973,036,997,660,120,429,227,
271,710,249,274,477,045,191,670,546,332,296,867,652,992,031,780,683,451,483,
572,368,858,134,952,424,998,321,517,193,666,767,489,049,337,118,317,928,134,
347,972,581,692,800,069,514,895,438,667,147,248,390,498,296,446,793,389,620,
491,303,101,634,372,341,685,624,631,618,387,129,776,870,312,332,302,398,978,
882,872,921,047,087,718,485,764,520,552,972,525,584,563,416,796,030,180,233,
350,696,092,698,273,864,432,731,307,461,533,712,243,058,646,768,566,842,473,
625,095,863,914,913,329,228,599,720,001,987,430,280,203,256,673,496,536,311,
289,965,443,409,213,871,956,796,559,244,996,411,124,107,876,589,523,947,998,
045,110,966,120,397,502,052,836,095,092,686,821,244,590,355,860,750,409,234,
020,918,425,580,502,211,003,267,430,025,742,731,693,633,673,672,363,559,298,
195,323,905,801,355,629,870,884,588,735,125,087,959,041,019,888,005,135,019,
952,516,092,498,207,858,174,734,445,731,613,371,909,072,766,754,690,980,803,
746,678,685,648,294,814,829,827,225,519,411,966,686,282,752,390,350,194,627,
496,614,664,435,041,530,518,359,100,215,579,831,740,543,979,469,747,553,221,
307,247,900,402,389,563,359,454,999,566,115,034,362,169,545,797,552,370,351,
458,027,584,930,499,746,849,253,553,236,519,665,958,637,997,273,227,428,445,
616,346,683,414,315,003,220,161,497,656,520,513,212,694,014,132,545,246,378,
990,257,110,395,859,740,609,587,493,517,467,568,490,800,247,672,421,041,202,
878,668,559,660,522,124,707,008,342,634,874,416,516,591,170,819,930,333,153,
369,146,510,994,970,398,032,690,748,781,239,538,173,696,870,397,950,430,296,
371,653,321,035,525,543,056,474,040,268,270,948,723,869,347,173,865,594,685,
172,496,218,181,976,730,918,732,499,837,544,041,592,549,960,534,770,051,585,
090,786,133,120,047,663,115,588,332,234,258,645,282,536,068,606,566,275,212,
066,263,216,193,038,313,378,610,143,792,087,654,342,446,491,756,453,483,566,
188,702,235,365,381,388,672,263,903,946,789,552,851,826,227,678,645,108,844,
401,243,756,491,549,745,963,599,893,876,069,867,496,546,034,794,894,207,105,
256,814,417,308,348,871,738,516,659,476,699,969,737,200,324,182,068,962,410,
090,261,828,908,747,621,377,669,429,182,626,035,227,600,947,924,883,281,374,
015,707,197,905,092,749,806,437,192,960,552,900,437,783,402,569,518,786,891,
752,262,171,199,903,462,902,762,475,419,470,060,432,691,308,472,290,693,680,
202,520,762,556,897,389,751,614,965,440,279,773,335,188,578,567,181,746,440,
801,478,923,709,215,978,692,759,869,550,849,991,099,945,562,113,154,719,357,
190,310,977,935,700,941,488,751,865,355,003,355,317,763,804,827,417,673,234,
504,473,415,811,292,956,957,820,823,467,792,007,232,437,250,665,010,207,935,
820,998,142,045,999,875,104,650,472,828,178,548,258,590,635,232,662,227,248,
334,782,897,868,744,525,961,078,584,440,962,208,889,317,505,191,302,753,142,
701,594,226,813,336,037,967,086,914,167,790,386,514,091,002,236,491,191,411,
227,961,853,249,105,091,746,922,787,348,359,592,471,078,141,744,510,409,678,
108,079,379,975,124,407,003,713,269,174,308,180,749,556,687,373,491,017,511,
626,127,334,478,722,905,319,712,601,320,760,348,896,092,773,046,402,163,971,
889,259,024,630,170,537,072,997,766,407,314,765,404,156,087,179,865,457,889,
917,646,623,471,149,109,178,785,557,353,671,674,595,748,030,915,926,675,118,
300,569,219,417,542,228,849,163,512,863,759,274,172,454,827,380,216,831,045,
289,262,885,849,357,816,888,853,570,855,781,515,674,940,285,373,784,211,010,
220,199,620,312,312,046,591,537,751,239,011,645,808,329,808,561,591,672,826,
881,660,608,355,318,476,763,924,710,172,028,745,720,444,875,184,306,695,487,
306,051,265,659,654,360,967,289,417,313,416,079,988,552,993,950,881,226,830,
547,329,514,822,727,666,788,861,589,448,839,940,010,087,485,672,394,223,135,
603,498,401,055,911,034,371,169,016,564,672,796,878,902,829,332,841,058,931,
318,615,307,103,366,518,929,861,375,690,077,790,093,770,970,984,655,609,628,
348,307,606,524,715,542,962,844,960,532,555,141,031,204,048,390,002,671,658,
696,242,512,217,749,680,690,799,257,781,192,634,474,465,924,984,671,178,438,
462,030,160,024,832,285,985,788,074,775,067,279,083,776,663,893,219,428,148,
985,990,607,973,927,916,281,859,867,846,583,900,328,018,207,449,278,097,960,
115,950,808,236,200,395,045,010,002,665,015,390,586,864,934,229,272,466,590,
635,105,805,228,724,455,008,588,587,353,576,738,828,109,384,745,677,542,338,
597,484,164,585,921,707,599,255,452,009,040,108,613,739,262,718,915,469,221,
025,252,376,350,282,406,960,903,323,101,329,438,203,932,150,744,730,433,910,
156,492,771,992,006,203,288,971,863,042,487,607,643,078,107,575,822,163,883,
287,273,203,745,359,283,421,335,490,203,641,690,103,068,083,259,004,002,455,
781,405,340,613,300,209,330,680,840,239,781,000,960,997,081,829,233,915,495,
684,813,857,506,910,621,982,338,471,166,467,230,952,468,668,784,657,320,375,
417,546,672,838,804,153,004,753,486,742,899,484,244,765,328,807,844,781,424,
913,386,200,328,372,673,163,944,677,633,309,052,160,874,464,206,669,920,658,
237,964,421,458,872,265,079,956,401,554,124,992,524,602,623,070,441,340,694,
653,272,805,456,036,265,167,863,705,480,446,761,751,593,703,573,714,954,715,
980,333,610,905,236,713,236,787,647,442,992,050,261,415,121,809,457,058,784,
713,874,220,091,300,631,500,328,794,676,750,097,232,174,197,505,780,355,976,
798,235,571,706,490,573,778,520,128,685,249,314,356,713,868,265,606,281,705,
617,314,297,543,334,858,567,351,338,599,429,144,329,469,997,041,630,717,216,
922,102,905,657,843,869,505,976,062,296,776,376,744,483,531,443,683,247,041,
093,797,335,820,032,942,520,505,308,423,332,924,499,707,220,543,848,544,892,
137,066,871,623,525,542,255,136,261,526,674,637,292,988,556,217,892,507,350,
020,823,969,437,935,357,407,003,062,017,139,707,894,783,026,291,576,404,061,
740,200,740,579,676,784,444,970,341,231,376,777,008,427,734,418,636,024,254,
101,720,615,415,287,750,981,681,034,322,344,693,520,116,168,202,361,249,629,
813,803,190,468,094,920,016,783,484,059,691,091,783,462,949,802,830,315,619,
219,116,465,915,793,329,893,612,274,514,165,226,548,150,543,093,901,374,914,
139,274,775,208,037,189,222,318,401,784,938,553,374,360,775,428,695,155,068,
133,325,362,725,401,587,499,215,999,772,038,194,995,107,722,980,940,127,605,
672,656,159,801,725,231,024,224,145,362,468,383,238,487,739,076,217,914,996,
704,825,415,316,535,095,492,427,588,392,004,699,537,345,548,047,801,581,399,
183,430,271,170,358,366,908,042,751,265,630,995,539,844,443,450,457,881,002,
046,456,443,427,758,134,205,842,754,539,588,262,269,829,230,532,336,524,936,
559,036,348,297,113,385,026,703,083,132,227,201,123,049,133,400,189,562,625,
317,843,094,474,562,288,680,505,558,074,126,469,723,920,195,642,661,580,764,
990,258,183,776,882,634,787,861,015,431,787,045,477,299,502,454,821,501,501,
085,595,725,818,887,133,683,089,904,661,184,591,047,312,357,546,583,084,008,
691,359,801,551,998,182,931,509,484,274,684,604,591,001,568,192,646,863,334,
833,826,321,347,840,473,314,248,509,755,166,118,438,894,513,158,724,964,417,
730,889,018,102,065,079,564,295,102,016,919,457,446,398,282,671,444,289,839,
625,067,189,994,144,784,444,787,967,918,430,752,351,984,745,947,886,997,837,
325,886,241,671,265,007,274,670,246,667,953,480,966,679,801,542,340,046,837,
045,622,738,285,797,428,209,204,570,372,935,262,246,073,387,597,867,617,620,
496,912,162,372,689,365,435,886,491,653,593,486,280,045,526,771,366,925,047,
632,434,122,593,056,633,306,755,397,866,043,235,502,816,331,012,613,279,957,
747,063,172,187,438,728,143,156,649,074,911,000,978,738,964,668,110,709,788,
162,041,709,774,975,044,609,052,301,643,703,106,017,235,865,909,063,608,182,
101,373,363,841,720,556,835,753,397,414,714,919,631,828,796,366,730,224,983,
242,877,301,337,277,070,476,119,959,182,409,867,354,757,613,112,052,568,866,
931,959,767,381,417,749,234,523,646,767,816,033,720,184,884,108,207,465,049,
698,263,726,682,592,837,364,831,713,185,801,706,981,665,088,117,050,836,823,
885,676,946,505,043,709,131,953,914,058,047,306,763,242,900,651,531,559,415,
871,121,093,583,768,009,354,289,449,102,863,382,863,473,240,593,105,108,735,
075,822,669,750,851,522,968,534,531,519,394,743,782,104,929,278,879,788,904,
639,246,834,901,379,990,902,201,986,811,959,253,850,532,671,329,804,406,590,
127,769,940,761,806,275,925,630,822,954,841,423,427,269,405,817,556,482,260,
174,448,247,639,397,685,490,496,519,563,810,143,273,740,743,509,475,724,830,
155,105,514,314,635,431,617,489,485,469,032,865,851,583,947,246,983,956,876,
423,353,323,088,210,684,595,303,203,167,724,124,976,716,211,634,143,096,687,
628,129,910,841,636,914,058,043,477,667,311,282,901,908,782,478,894,339,078,
009,419,353,642,439,829,964,155,117,066,853,471,348,572,164,434,149,645,472,
763,085,004,775,547,500,404,241,743,725,361,462,003,959,243,222,733,538,081,
746,227,111,562,757,339,156,735,331,352,819,177,611,060,162,430,386,332,037,
234,899,305,374,596,566,343,107,953,536,492,312,197,473,058,654,082,760,268,
334,526,623,861,376,716,641,550,595,072,386,568,549,739,147,133,311,316,528,
963,125,516,978,379,712,980,616,370,141,948,250,993,003,594,778,644,032,167,
141,677,420,145,540,042,060,037,603,896,753,647,267,512,356,415,134,726,133,
591,761,984,588,340,088,213,201,292,587,418,045,265,512,757,455,361,229,879,
627,212,707,603,106,877,944,413,139,284,816,733,879,042,923,634,182,031,349,
681,341,392,536,217,716,889,056,947,442,063,466,446,232,920,609,821,684,787,
098,225,908,251,351,466,262,669,341,545,851,006,180,580,858,051,824,090,407,
216,095,725,805,489,928,854,446,306,129,809,098,649,711,280,106,245,287,568,
223,170,136,969,844,262,441,833,899,761,135,115,449,966,130,451,329,569,104,
594,997,489,419,204,067,046,060,634,004,655,333,827,587,615,030,563,444,198,
285,467,919,747,501,740,111,749,662,811,859,489,105,430,049,587,002,777,797,
832,284,569,187,221,370,700,995,648,468,470,723,409,700,006,705,193,721,958,
350,108,981,305,866,230,871,803,790,284,392,643,043,924,256,402,813,926,688,
611,587,478,985,917,043,079,856,452,572,575,318,753,821,281,741,668,348,981,
810,172,523,812,212,096,900,929,662,255,662,320,224,731,616,533,929,956,136,
494,114,390,794,676,306,475,976,905,367,287,456,740,378,899,818,970,007,291,
732,052,598,478,481,482,092,557,384,256,590,374,241,368,453,960,105,314,853,
253,269,445,217,472,200,427,569,948,098,805,559,199,730,629,055,334,287,537,
731,547,713,244,994,688,099,378,338,678,623,227,920,341,600,035,926,278,664,
498,711,568,803,203,616,252,438,621,920,058,386,011,840,829,999,438,863,085,
224,324,600,620,566,745,203,962,776,949,836,067,886,753,641,956,752,019,553,
428,160,692,580,467,217,074,334,844,186,591,400,454,906,363,693,208,347,509,
739,824,001,358,062,458,880,144,117,468,015,154,712,091,612,601,919,989,113,
139,674,368,405,558,142,041,624,871,458,829,203,395,329,683,087,970,508,820,
478,498,330,843,087,220,608,045,492,810,172,978,517,698,965,391,407,764,582,
631,432,069,031,491,388,459,484,979,394,600,028,531,188,488,163,925,645,451,
183,192,504,745,859,841,288,094,387,919,789,806,552,848,026,665,630,684,862,
971,262,872,863,924,229,664,500,394,314,099,709,220,963,952,838,704,015,846,
666,705,885,244,092,078,273,926,770,778,249,963,719,998,998,327,991,281,382,
538,287,160,408,069,029,203,501,670,787,450,070,386,822,188,338,088,537,874,
973,519,696,301,836,635,044,990,712,380,576,530,045,904,371,852,309,578,282,
207,289,115,215,240,592,817,752,727,795,702,111,702,054,951,432,634,271,865,
979,985,943,838,763,421,976,869,618,665,403,861,511,278,580,733,206,116,634,
851,685,624,953,768,236,207,832,971,475,406,205,256,601,801,455,685,981,970,
711,762,853,038,637,699,653,613,531,747,066,826,009,430,273,417,009,260,164,
302,650,718,827,633,398,394,940,650,397,046,447,433,974,871,812,235,803,758,
257,615,504,516,677,871,787,218,655,668,674,010,777,678,584,729,732,612,304,
325,751,740,777,783,139,198,203,046,117,339,500,332,242,260,364,621,408,582,
536,205,980,359,250,380,160,133,121,610,908,371,100,707,080,004,921,950,400,
483,949,017,233,659,917,322,652,719,652,082,111,860,353,646,530,711,848,567,
980,119,940,455,776,916,319,674,837,460,614,318,338,854,186,441,458,147,526,
474,877,840,038,002,588,543,648,727,822,349,393,694,729,153,537,306,923,775,
102,802,971,105,900,535,161,570,435,638,565,645,199,691,307,323,926,883,382,
756,123,612,901,242,965,721,992,138,301,524,837,268,027,643,302,403,060,598,
587,785,609,030,019,760,498,424,407,938,184,681,729,792,287,043,758,234,081,
929,127,018,093,069,292,635,806,630,469,664,982,597,912,705,987,333,809,903,
446,136,881,460,684,984,466,463,643,842,349,465,183,390,922,830,182,924,341,
613,597,914,586,867,500,747,782,518,332,165,935,027,482,401,733,433,712,848,
266,702,918,507,792,811,560,016,330,364,755,044,968,852,962,487,523,745,222,
139,781,314,646,877,190,622,191,724,205,933,511,191,786,116,924,564,616,272,
913,954,873,341,688,359,599,992,976,767,476,726,709,890,834,477,261,209,547,
309,066,121,476,535,514,948,495,087,314,318,472,807,211,768,881,456,613,903,
216,469,618,435,458,153,154,789,749,959,271,797,054,551,168,859,664,945,101,
006,576,592,979,062,113,793,992,903,076,219,283,471,672,519,236,840,114,901,
922,918,774,420,910,498,918,813,965,762,291,873,559,026,644,046,968,069,613,
832,899,768,911,584,808,726,045,604,989,778,147,611,472,343,416,422,836,089,
583,006,084,028,682,807,413,404,462,310,947,248,304,023,315,308,885,796,680,
896,751,602,330,833,421,772,014,635,344,907,841,408,865,415,890,581,279,784,
309,416,748,591,787,001,110,403,042,646,665,786,045,777,425,171,835,227,486,
338,146,817,064,246,853,113,089,129,414,833,883,674,141,748,419,675,662,596,
443,400,878,732,060,778,581,565,361,294,005,115,463,570,178,491,964,596,834,
638,251,341,000,969,264,678,889,004,782,536,412,170,467,417,071,286,425,619,
973,771,612,759,885,794,334,198,616,359,523,350,606,355,382,984,828,297,012,
363,051,349,384,597,574,233,108,740,359,265,241,466,741,416,193,858,320,514,
142,102,941,049,058,331,586,742,567,979,381,401,347,073,251,617,656,591,696,
929,641,128,128,065,081,620,114,315,325,979,528,903,822,592,033,444,678,677,
608,395,167,359,672,758,623,271,517,952,970,217,582,321,076,985,734,642,769,
959,732,425,476,532,295,638,466,429,968,881,614,329,994,699,247,701,699,185,
079,076,882,244,262,910,454,142,761,345,649,984,823,064,907,092,746,930,791,
542,162,244,068,556,236,009,502,360,202,942,125,104,215,486,040,083,284,721,
370,822,875,379,118,095,410,470,833,270,160,450,663,901,014,867,272,683,652,
462,129,001,134,298,111,471,806,618,482,026,183,770,545,551,720,996,371,497,
311,783,893,068,064,919,041,939,313,913,694,320,940,067,981,173,653,898,560,
802,318,458,660,526,538,645,294,707,204,611,464,386,403,167,951,673,033,570,
666,276,057,035,449,285,655,677,862,274,444,938,402,171,430,429,945,608,493,
339,765,147,447,814,096,066,024,221,434,950,594,346,755,126,537,583,938,823,
122,117,919,425,679,958,673,086,832,479,299,864,485,691,213,863,219,728,459,
764,734,952,531,689,855,669,680,607,570,967,401,172,470,430,845,593,376,628,
335,617,641,829,619,949,996,628,269,748,441,025,775,218,156,827,284,215,349,
169,309,024,732,092,627,533,403,593,460,672,161,396,841,408,016,025,902,292,
844,159,383,149,525,802,752,806,181,564,625,884,661,178,168,358,291,426,270,
880,324,074,286,206,957,942,460,965,720,537,315,642,322,061,500,703,557,342,
622,719,212,463,302,571,690,664,590,836,386,461,454,915,359,744,628,448,509,
209,661,491,256,400,620,325,980,311,445,014,667,265,230,743,538,817,888,081,
817,405,015,004,969,890,142,869,934,331,214,705,823,459,631,729,046,746,287,
627,150,824,888,541,111,804,183,109,080,820,848,487,161,114,637,302,144,704,
409,976,643,938,917,801,048,609,667,610,513,121,881,623,322,009,483,387,684,
904,837,204,488,732,232,098,115,932,399,224,911,707,809,224,167,229,466,043,
907,185,259,885,075,034,332,446,339,698,954,865,109,984,120,574,007,354,434,
274,897,575,789,535,455,305,913,395,739,636,045,080,690,167,436,820,447,210,
598,237,505,215,663,080,346,172,293,872,593,979,365,531,193,200,397,848,733,
524,034,980,801,502,699,734,631,193,046,475,969,107,539,279,812,831,294,523,
935,981,893,937,370,221,198,662,948,463,393,061,571,824,570,608,811,460,134,
315,184,400,500,004,357,426,454,148,768,543,170,895,763,500,603,773,148,389,
876,616,816,738,316,647,185,181,021,143,644,022,862,840,221,563,612,906,717,
490,536,783,454,954,152,955,508,949,211,019,464,275,523,276,477,733,074,574,
825,396,820,041,463,531,408,830,941,022,708,601,759,277,542,573,748,088,326,
162,922,835,655,359,094,691,044,715,524,039,844,929,006,284,296,601,568,620,
885,793,078,346,337,768,053,820,358,792,533,054,447,031,912,512,123,794,244,
420,719,812,033,427,538,505,139,992,936,562,626,386,244,319,120,990,084,861,
813,889,007,337,398,132,417,379,761,580,568,274,043,754,652,934,025,235,474,
497,160,545,792,724,908,923,220,143,401,449,454,889,360,318,482,388,116,282,
273,767,851,190,894,684,206,868,301,039,552,265,103,290,033,129,128,187,631,
075,462,645,510,976,564,275,860,018,021,577,091,094,604,224,831,807,863,418,
686,815,688,185,725,410,678,885,348,888,515,393,645,807,594,776,114,292,497,
936,447,471,345,530,912,617,143,156,577,037,266,688,938,939,656,314,986,991,
704,620,356,248,743,344,343,713,370,837,996,348,224,890,005,808,224,330,872,
539,340,563,729,140,109,950,280,945,503,243,225,757,025,019,444,794,422,680,
428,237,007,369,945,058,004,038,366,342,048,808,948,957,748,825,104,867,198,
810,755,384,165,424,622,302,041,458,588,590,448,132,691,225,100,793,854,175,
482,461,762,248,376,341,041,939,454,636,953,305,015,925,913,479,699,099,784,
044,165,727,023,102,670,574,317,396,331,603,532,610,379,668,556,282,938,118,
287,838,750,171,198,842,398,208,977,014,944,308,989,111,074,031,357,030,156,
755,106,420,758,291,664,754,729,638,984,290,325,246,099,002,252,083,293,781,
119,141,015,755,432,307,515,706,474,300,024,122,597,384,941,390,108,011,946,
091,354,395,265,995,281,880,300,586,603,634,010,366,357,979,006,850,663,596,
494,514,896,525,362,412,680,068,959,896,812,757,146,030,112,241,377,728,296,
578,704,979,412,192,804,114,042,615,023,379,385,138,495,784,640,034,731,515,
592,256,829,908,556,961,448,840,033,260,314,792,471,200,681,341,134,899,699,
749,231,604,902,179,884,764,654,271,416,999,518,998,458,098,597,359,503,293,
009,822,403,418,627,939,170,324,210,932,768,881,559,182,616,197,349,648,453,
592,680,404,371,582,384,233,939,428,272,274,700,913,730,770,723,305,258,639,
887,907,540,645,209,878,273,016,655,402,261,844,328,957,803,641,639,004,796,
543,732,602,918,674,300,249,259,829,847,533,706,598,412,371,805,709,664,107,
154,327,317,130,473,594,195,932,425,117,637,859,140,202,893,247,654,785,301,
555,765,807,723,764,367,386,014,512,507,495,633,403,523,039,319,896,110,362,
348,797,759,429,439,350,775,820,689,027,595,003,342,945,458,335,359,407,588,
266,797,554,497,315,883,859,346,913,890,259,943,540,332,166,614,414,041,004,
882,910,507,098,130,465,458,675,155,412,770,765,961,793,407,468,697,149,036,
457,904,997,474,124,013,417,584,926,149,370,632,350,566,379,785,846,656,860,
521,545,237,545,746,526,750,572,161,757,535,552,639,580,654,378,396,715,578,
395,717,727,261,459,104,644,218,669,667,834,657,899,767,419,141,060,871,529,
902,222,553,653,122,562,852,540,558,424,406,328,011,158,745,094,153,936,849,
655,389,555,262,929,391,442,925,522,841,229,026,754,958,566,656,474,723,767,
711,587,522,077,142,085,710,083,601,242,209,383,464,852,323,657,170,836,130,
834,808,615,772,816,316,575,969,472,871,645,408,913,625,434,719,021,560,031,
982,543,507,704,112,109,492,112,498,648,787,779,541,782,732,998,050,344,200,
562,723,063,370,579,803,498,515,727,413,725,327,348,566,113,310,423,185,560,
774,050,560,747,692,743,183,789,356,460,912,035,598,355,717,113,364,847,277,
469,708,159,510,008,237,377,646,134,975,332,342,881,238,241,290,967,847,468,
628,778,809,689,210,369,194,725,454,637,657,573,657,621,966,753,630,605,016,
616,773,073,305,589,548,168,290,720,872,744,091,050,752,480,483,099,762,849,
660,272,886,132,055,581,684,223,113,398,749,725,011,731,793,709,076,592,034,
303,569,877,907,414,596,464,829,868,245,143,111,729,140,921,649,911,029,250,
636,633,837,824,914,541,416,388,115,731,983,317,359,680,303,005,813,578,140,
126,969,596,065,716,437,614,323,617,256,808,097,845,912,584,550,976,455,026,
853,578,353,684,311,835,010,252,564,621,615,228,063,775,494,306,400,794,019,
975,173,868,216,036,468,183,005,886,459,840,539,615,788,607,122,390,032,258,
070,677,857,540,907,441,828,165,338,694,723,626,070,202,296,928,306,068,640,
451,862,542,577,830,444,186,795,580,383,824,517,061,180,878,290,001,303,578,
733,671,571,738,778,652,610,941,867,836,573,689,013,280,169,595,793,037,108,
414,383,060,790,479,954,754,089,850,537,029,113,628,024,035,127,697,323,866,
162,353,360,900,278,197,865,858,880,543,944,206,613,550,212,909,719,444,303,
195,551,882,866,611,690,870,014,175,474,231,873,098,142,828,746,977,304,503,
002,171,226,294,492,060,698,649,999,590,002,651,190,763,621,036,082,743,089,
243,136,984,056,296,379,154,402,640,918,394,401,513,849,306,676,844,818,845,
977,617,282,269,388,291,015,612,084,550,745,795,697,737,763,108,011,060,571,
626,849,433,192,086,826,661,515,969,596,625,365,687,683,295,212,557,473,203,
896,681,362,795,949,078,571,682,477,875,302,331,082,774,783,368,506,333,016,
306,599,859,881,036,091,141,530,997,191,562,866,349,942,412,708,819,603,453,
544,937,381,198,043,740,621,692,214,039,041,735,252,322,743,414,913,738,847,
457,428,382,591,188,753,255,471,747,765,466,921,902,239,602,179,761,118,043,
624,184,433,557,925,448,063,816,022,305,869,826,521,985,879,356,484,514,602,
830,627,560,125,794,081,606,456,726,046,857,114,730,983,424,731,295,471,383,
178,408,702,813,593,300,591,334,624,953,082,408,170,755,667,160,778,884,668,
590,114,132,698,177,697,035,918,658,833,198,316,049,528,365,220,895,532,617,
827,699,550,471,254,681,641,129,526,440,722,696,543,547,075,731,616,404,503,
680,874,501,071,034,522,156,665,186,786,517,087,597,144,148,417,614,393,313,
376,256,860,904,139,946,009,595,148,788,234,812,171,276,730,662,584,974,967,
719,354,477,356,875,158,228,918,202,657,617,628,036,889,589,461,133,941,146,
543,027,619,473,463,823,786,311,414,625,723,805,695,727,398,695,318,610,842,
783,842,612,661,117,001,549,798,980,077,467,758,849,188,077,424,040,595,830,
493,298,446,441,152,999,207,016,045,621,492,635,961,144,462,263,950,726,597,
390,126,201,388,766,516,659,590,102,217,607,593,052,800,785,731,843,378,297,
902,102,202,877,796,311,541,723,652,159,720,036,274,026,865,599,877,176,952,
633,497,085,150,727,929,305,643,253,564,039,444,337,221,268,800,185,163,209,
078,765,749,495,528,937,597,670,239,029,134,490,101,458,544,581,116,992,001,
858,476,948,974,541,466,033,922,691,294,242,951,698,821,923,962,486,783,340,
651,693,466,790,155,590,487,851,483,872,695,903,377,919,444,079,330,627,490,
960,674,814,624,503,332,827,861,957,365,583,845,638,124,249,431,561,172,410,
176,098,327,077,171,932,598,978,773,440,637,004,619,207,806,679,037,298,873,
011,173,929,109,203,629,692,225,385,787,917,726,371,934,407,386,651,440,519,
473,068,419,715,083,091,314,646,760,641,026,733,779,494,403,512,958,990,662,
913,393,456,621,666,915,756,504,601,133,394,952,776,210,486,977,202,532,409,
873,717,372,247,736,114,733,900,393,312,017,783,140,781,052,210,089,724,473,
375,976,858,841,725,314,048,595,935,492,322,461,909,800,491,544,984,831,517,
074,302,037,250,133,520,665,134,728,456,124,897,129,241,377,353,228,413,632,
090,868,404,813,527,925,301,945,397,882,220,867,567,200,286,205,895,740,669,
859,698,921,363,817,615,348,806,082,152,827,608,670,825,277,387,841,006,115,
789,373,438,444,163,358,339,036,159,447,234,585,395,040,264,820,837,266,353,
328,458,527,425,732,364,750,543,671,617,908,942,927,657,509,059,158,992,830,
963,300,142,314,983,565,171,352,756,543,171,456,982,305,889,840,482,253,582,
244,280,126,199,461,011,188,891,388,965,183,729,026,492,554,357,833,486,804,
569,510,989,001,861,531,649,828,822,258,975,722,747,348,820,919,735,354,431,
730,133,841,691,542,769,932,914,748,091,858,938,218,104,985,687,404,861,238,
735,592,284,135,882,896,896,394,090,105,175,043,677,097,364,233,136,679,408,
334,201,541,398,367,421,626,638,634,656,535,633,258,388,238,500,196,961,883,
096,883,254,994,223,554,965,005,947,695,486,792,357,988,328,406,066,669,611,
423,211,752,074,381,787,258,411,565,636,548,015,868,891,249,556,053,584,934,
017,637,977,686,700,656,689,887,950,350,628,399,800,686,114,668,697,743,635,
434,691,463,872,258,630,759,895,406,319,602,724,733,078,756,025,431,669,327,
934,896,262,730,262,687,626,002,941,295,436,977,366,382,787,976,120,299,748,
669,805,581,228,247,411,220,613,242,263,440,492,618,526,173,729,934,520,278,
478,281,236,728,573,770,966,104,238,723,180,130,774,156,868,388,966,804,966,
503,723,152,023,036,272,687,204,374,511,560,509,094,242,724,937,788,876,829,
766,196,761,793,671,665,164,743,704,272,201,008,472,283,825,070,698,438,390,
843,731,949,249,605,741,467,142,313,170,115,690,562,061,973,920,411,412,210,
943,237,263,056,269,483,937,189,477,091,909,738,121,270,146,457,491,674,525,
872,307,793,075,122,235,211,602,392,168,943,908,885,882,275,781,924,001,160,
778,244,080,875,456,021,066,375,964,668,626,626,362,018,682,575,643,698,061,
310,904,782,580,272,919,197,674,452,472,806,120,506,170,820,497,282,446,700,
107,851,790,995,924,891,504,517,776,261,027,420,978,347,337,491,462,755,304,
041,651,574,646,067,051,228,207,415,614,037,536,288,311,898,648,571,675,663,
066,638,933,158,614,488,358,877,767,502,115,158,471,342,685,925,432,199,451,
525,235,717,443,939,856,569,877,698,611,890,190,611,151,883,517,732,205,595,
687,332,766,324,246,489,344,680,131,561,861,325,452,599,971,244,063,657,240,
497,682,736,201,912,060,875,702,814,119,663,346,700,121,193,076,695,797,688,
376,583,623,078,653,390,000,865,835,037,725,789,675,609,788,664,265,927,075,
973,466,184,629,016,588,178,992,455,543,986,092,478,467,220,675,118,911,035,
902,065,648,272,861,830,678,989,500,739,902,533,423,964,661,813,891,743,720,
202,504,737,906,141,881,942,756,251,784,084,398,531,080,105,190,786,892,003,
787,628,136,708,240,229,759,405,623,292,658,113,208,435,770,149,872,164,383,
659,600,667,560,413,149,753,271,424,852,182,608,613,908,481,889,843,155,795,
438,092,754,438,750,371,303,279,100,957,315,754,293,829,040,770,265,998,480,
186,101,544,385,287,621,168,538,879,083,681,475,292,708,715,108,402,799,887,
146,486,589,249,404,502,969,375,047,926,552,047,811,727,647,890,365,807,736,
726,358,413,166,335,879,545,785,642,403,451,553,454,624,755,566,378,776,875,
102,884,349,772,734,938,120,602,860,869,705,229,387,217,206,888,577,589,063,
746,984,380,769,591,324,342,657,830,942,433,751,173,323,290,493,948,913,398,
508,342,208,488,383,504,993,995,687,047,305,251,234,805,335,683,333,856,891,
175,367,936,655,973,177,037,131,578,890,825,799,029,413,341,381,667,881,689,
176,302,609,088,095,529,915,683,270,658,364,199,727,580,209,483,614,041,915,
913,998,471,386,350,637,152,472,232,819,797,833,983,966,138,981,584,617,801,
237,779,970,048,643,709,444,732,252,509,303,030,051,704,630,567,211,887,237,
663,317,547,310,953,718,367,364,920,742,435,113,923,116,032,034,743,426,828,
797,580,871,438,230,416,682,794,479,318,724,460,357,481,028,837,753,430,720,
165,841,162,060,264,233,531,435,560,923,664,939,895,288,120,169,882,809,548,
354,764,026,252,816,068,884,958,352,264,956,536,513,411,989,363,046,254,385,
606,307,597,551,408,253,377,987,888,765,166,814,260,804,134,185,869,866,230,
598,608,749,573,310,848,743,528,708,431,443,810,930,514,784,811,804,634,253,
492,079,302,751,550,697,132,289,454,337,564,695,030,845,277,223,834,361,344,
511,033,193,495,449,312,533,142,813,188,797,472,422,379,884,804,686,946,299,
406,797,500,879,586,107,516,684,412,518,860,926,407,163,512,295,401,191,741,
388,588,091,855,612,486,168,578,496,706,432,780,291,120,107,423,179,831,183,
381,833,763,539,555,504,973,691,671,807,421,743,034,233,891,306,361,270,173,
954,360,664,396,258,974,445,088,650,594,488,747,286,556,988,716,818,379,793,
608,201,473,040,649,155,462,071,585,468,090,044,859,791,190,292,006,773,594,
358,691,049,188,531,768,038,762,939,604,780,295,894,600,886,728,105,437,036,
277,485,657,467,945,160,001,529,536,254,864,877,505,959,279,768,478,924,159,
936,691,091,188,139,529,170,908,966,417,562,358,167,221,819,223,459,580,281,
986,767,300,216,580,781,472,575,294,556,608,113,381,530,663,231,736,749,218,
838,763,684,330,702,126,899,295,497,823,850,699,004,315,313,027,425,419,551,
710,798,300,509,550,638,027,808,123,303,493,513,139,739,200,888,515,202,225,
054,678,009,823,579,745,801,150,563,872,787,595,976,330,967,509,095,147,489,
972,269,454,257,221,729,673,363,255,272,726,822,097,205,563,863,592,396,681,
618,839,674,429,586,514,088,524,495,045,995,789,303,830,027,648,087,083,499,
830,521,105,901,531,762,489,230,980,089,681,565,124,091,200,157,606,551,239,
849,797,293,362,523,722,017,585,926,195,429,806,035,684,989,873,336,791,585,
600,122,448,473,848,477,776,446,460,373,703,213,701,071,222,668,663,516,131,
626,909,142,736,970,015,130,480,883,107,250,209,078,208,179,331,515,037,066,
227,157,781,831,434,993,948,424,610,404,209,206,261,233,381,380,844,156,498,
682,016,599,322,677,866,592,557,145,605,213,192,598,600,972,078,142,993,501,
979,429,673,373,887,925,603,292,030,360,872,750,003,302,461,448,623,349,183,
958,347,278,553,667,356,247,824,227,467,012,993,436,794,574,089,572,867,709,
791,034,209,884,681,129,351,478,878,169,436,797,200,045,137,781,889,216,010,
193,722,126,692,356,855,233,227,018,276,161,010,713,318,417,550,905,587,058,
130,453,654,899,717,596,624,299,048,920,175,973,618,770,522,435,472,814,212,
029,590,000,689,397,598,137,156,012,006,601,493,756,470,248,195,216,562,660,
106,146,302,169,044,292,133,614,888,805,016,567,820,931,839,052,854,394,929,
987,417,310,634,481,391,184,227,420,947,913,776,563,816,157,085,279,112,853,
173,497,991,391,735,157,186,307,163,510,565,518,221,885,585,967,589,526,497,
567,077,130,864,847,996,047,065,038,229,001,265,478,039,292,648,161,101,487,
677,670,455,265,416,426,754,037,251,416,041,908,068,426,292,829,744,230,073,
990,650,931,158,902,284,707,160,029,741,663,585,301,341,684,741,785,675,309,
222,671,973,816,276,912,144,893,369,794,053,142,670,641,641,502,871,258,414,
656,940,680,723,513,904,316,908,603,569,979,643,767,184,461,613,408,581,746,
157,732,296,656,455,238,376,204,415,249,012,229,591,210,480,173,653,221,582,
053,672,637,393,513,687,187,354,666,334,404,122,393,043,235,157,535,327,421,
540,107,120,195,653,656,274,955,493,195,200,619,984,174,294,657,896,599,548,
650,424,083,060,230,475,105,897,201,304,382,572,369,491,890,571,514,290,158,
867,383,685,440,892,914,763,128,235,952,633,747,297,000,001,279,770,566,014,
952,676,619,650,598,526,597,093,647,898,339,309,804,500,497,275,485,973,586,
303,184,947,289,533,348,923,571,798,918,531,134,737,867,292,475,699,756,203,
888,338,599,393,941,372,284,943,656,057,044,933,115,471,103,300,445,135,803,
258,179,442,356,504,733,324,235,480,468,757,564,012,869,162,864,176,948,513,
661,909,797,946,823,785,703,425,035,622,388,625,770,449,100,133,498,154,608,
410,290,330,273,262,764,687,988,119,834,668,515,390,554,327,978,390,975,738,
977,277,435,843,186,843,210,036,440,206,380,391,435,669,273,980,209,434,177,
182,947,052,781,111,623,557,891,981,996,500,061,004,444,275,462,990,794,468,
736,627,729,905,288,752,173,906,179,048,572,114,615,728,581,517,411,482,750,
686,210,354,797,892,839,725,155,476,192,817,036,863,410,180,618,126,088,899,
595,307,440,593,766,600,119,444,083,692,631,797,441,259,335,296,792,432,299,
524,192,428,638,121,897,209,918,762,382,429,063,940,796,291,831,996,360,119,
022,644,748,421,267,673,664,176,856,494,898,048,231,676,614,251,801,264,514,
868,694,330,490,217,282,388,625,316,528,107,052,224,963,471,880,710,640,168,
545,107,258,743,975,658,479,002,074,307,020,472,163,391,697,199,347,092,215,
643,363,423,368,773,320,355,516,744,308,992,636,099,940,932,638,530,549,553,
750,834,397,980,387,823,410,927,533,147,523,189,890,245,207,038,410,277,163,
761,921,996,346,341,166,179,376,345,703,703,352,244,943,094,608,682,129,001,
218,093,579,961,300,975,031,555,940,006,525,964,004,359,287,614,359,938,660,
908,476,790,179,100,181,066,667,181,597,375,168,726,029,211,218,893,944,857,
694,041,133,904,283,292,226,134,680,978,335,460,033,617,883,238,440,631,638,
403,571,684,624,273,127,085,411,453,760,878,468,212,820,347,051,399,289,691,
997,730,615,140,913,204,385,634,595,682,452,034,742,378,217,729,306,311,584,
081,391,649,333,458,532,691,388,327,492,410,803,042,414,138,233,698,445,058,
544,389,205,289,306,507,844,622,821,506,596,305,892,026,831,794,894,692,821,
587,873,911,149,526,344,066,866,355,850,174,880,834,507,978,933,001,960,099,
346,384,029,411,215,429,032,910,366,381,009,516,006,208,672,589,138,138,096,
971,929,239,128,383,554,654,379,374,472,662,030,929,728,646,971,723,494,799,
835,252,738,925,476,226,703,051,606,629,315,721,995,783,943,386,627,088,107,
824,447,623,161,185,478,360,591,594,730,230,704,892,862,806,792,937,374,100,
313,085,159,560,065,187,381,478,166,938,276,800,663,645,730,502,291,500,409,
768,371,174,573,930,556,883,663,946,635,278,096,391,158,755,088,903,710,321,
572,860,353,595,761,783,551,550,911,294,301,623,290,650,352,347,132,232,039,
640,697,658,627,357,651,035,897,220,181,901,644,601,117,433,892,072,088,947,
558,735,354,990,825,086,255,627,242,361,133,041,973,536,523,469,568,927,987,
005,293,676,253,557,152,524,393,014,456,473,762,864,297,977,877,174,106,275,
450,017,413,472,030,384,027,139,897,558,000,473,945,518,315,397,482,447,984,
301,042,073,380,937,413,601,891,870,071,370,098,007,917,061,983,140,102,679,
937,473,559,560,275,632,310,184,653,162,295,162,149,435,832,872,223,079,434,
014,306,626,763,061,113,820,158,717,064,172,501,700,867,767,049,968,156,330,
735,947,861,487,896,130,314,173,483,171,534,738,493,357,575,378,628,016,094,
669,090,869,535,944,092,997,691,742,006,420,041,735,772,393,832,550,271,384,
208,270,817,189,706,942,583,854,497,133,683,409,698,485,646,996,164,435,321,
511,476,154,774,092,030,518,523,444,223,666,031,716,482,928,169,968,977,784,
133,540,331,093,704,652,862,526,010,508,751,963,299,580,928,031,958,420,834,
720,441,643,119,606,346,514,076,575,289,806,165,186,036,478,859,630,164,305,
134,924,359,486,029,913,750,185,719,839,521,764,608,112,345,198,820,144,415,
663,680,823,733,929,103,410,225,301,721,011,716,928,787,988,284,590,033,112,
800,117,459,997,385,643,999,804,364,358,034,718,900,735,125,603,420,512,148,
850,476,316,087,362,679,182,286,073,499,018,633,250,211,845,480,765,009,797,
615,815,726,411,492,633,837,742,203,393,188,313,793,582,323,977,931,272,709,
062,059,509,472,393,755,952,779,083,936,301,558,782,271,953,128,866,579,433,
081,178,726,501,891,715,836,239,885,369,773,031,718,103,364,899,881,378,086,
805,396,766,106,271,424,772,964,433,293,841,598,665,624,580,461,344,389,286,
030,785,056,585,720,384,558,441,950,891,966,182,066,901,826,613,571,695,336,
314,094,428,278,516,383,027,453,946,673,263,747,432,509,920,460,940,581,632,
050,032,402,000,730,498,403,094,135,021,172,751,806,685,641,030,772,568,542,
802,687,973,556,705,363,478,678,453,482,710,212,081,913,348,569,341,224,566,
759,731,602,195,115,074,583,168,097,123,909,824,883,210,995,456,506,841,669,
733,756,071,000,186,278,345,885,967,718,109,424,247,236,951,975,808,323,201,
238,555,157,466,961,559,489,879,735,647,145,350,366,027,860,708,327,769,002,
641,333,862,077,010,488,087,618,495,453,293,310,926,311,444,761,978,489,989,
959,200,486,424,361,726,551,876,636,532,931,849,928,447,761,987,793,300,055,
637,461,636,361,192,246,510,723,381,432,176,139,470,437,807,248,742,777,403,
568,699,589,171,023,335,318,122,107,841,776,010,772,845,671,648,538,731,024,
903,591,542,067,772,775,353,699,492,792,735,985,486,901,853,077,188,917,611,
410,602,666,239,017,597,334,785,367,959,923,827,273,029,170,336,060,263,666,
492,277,360,959,334,158,741,977,863,250,156,375,227,017,286,175,449,984,079,
661,089,524,661,470,962,202,732,710,987,265,474,137,936,802,059,947,322,440,
015,251,646,137,275,263,201,207,445,012,449,713,549,087,844,778,619,549,149,
717,450,971,646,274,595,177,473,674,065,323,581,909,981,083,858,659,499,690,
868,313,244,711,341,137,922,640,142,102,045,990,663,672,530,719,377,149,512,
468,717,178,751,787,794,341,806,684,180,388,783,783,038,371,124,155,694,228,
251,492,615,652,092,502,134,102,765,176,097,711,533,375,699,322,173,355,907,
822,230,180,799,518,995,454,383,092,642,381,133,391,057,752,355,646,753,290,
096,201,680,375,648,412,962,710,117,712,368,144,737,989,837,121,416,376,922,
679,120,744,851,456,806,380,082,973,492,416,657,726,760,216,099,901,375,348,
150,786,643,574,108,240,165,138,664,436,944,022,734,513,546,960,698,796,765,
684,872,497,871,627,649,276,339,323,697,564,383,225,314,468,368,830,911,722,
745,923,620,398,144,952,927,804,644,459,940,236,275,526,822,818,283,554,016,
969,878,901,656,697,874,501,554,528,372,417,446,530,871,512,648,809,100,906,
463,470,101,226,364,326,601,214,168,346,755,600,785,968,199,746,732,806,643,
333,331,890,653,015,585,247,971,655,057,977,861,557,007,930,732,350,394,526,
376,594,237,489,195,024,104,335,505,192,765,625,231,833,465,275,693,205,106,
142,115,598,425,325,208,730,607,106,990,835,585,712,145,020,397,946,874,811,
009,698,294,473,002,507,511,640,343,164,803,648,875,432,503,976,924,828,412,
800,675,711,264,014,122,390,121,047,266,064,869,357,915,644,058,434,120,922,
446,181,124,890,700,603,756,046,116,322,899,343,450,585,818,327,850,226,267,
157,727,767,987,852,616,947,511,969,166,937,021,293,791,642,106,779,279,541,
739,236,286,016,639,774,866,649,366,246,135,444,620,984,434,808,361,112,283,
575,713,368,252,342,275,734,115,777,314,157,936,524,866,132,053,908,395,417,
807,678,673,005,378,134,937,507,945,016,361,361,651,520,224,814,453,759,226,
121,184,395,481,098,941,666,463,540,135,943,140,352,700,522,901,833,819,081,
107,017,175,156,819,545,539,170,321,319,579,191,148,237,469,983,507,039,192,
467,992,295,766,458,639,730,934,856,993,228,763,653,233,954,342,999,101,060,
321,624,858,965,786,370,352,212,433,234,627,076,818,513,588,867,899,993,166,
882,308,914,254,837,316,149,845,773,140,015,291,616,393,698,739,245,526,509,
645,169,837,013,728,126,142,215,785,525,171,035,697,360,434,708,028,968,729,
211,434,934,292,559,786,855,902,792,971,216,685,901,118,286,555,822,393,249,
146,228,198,529,119,344,234,178,879,199,627,348,814,146,783,129,188,590,215,
677,837,207,308,467,630,780,188,112,771,499,780,333,777,824,423,484,311,814,
201,267,493,178,185,733,043,325,520,015,740,577,910,434,369,099,456,502,336,
025,119,973,374,516,188,312,748,183,349,610,590,519,021,307,365,479,952,635,
106,629,902,248,760,955,284,895,321,233,093,849,176,869,139,217,458,749,842,
660,265,154,080,024,047,689,459,898,106,031,603,805,096,861,259,738,240,459,
178,051,316,886,260,402,272,254,607,508,386,385,898,333,822,207,934,086,732,
321,796,857,295,269,648,446,768,932,541,799,522,658,469,779,529,827,308,387,
253,820,171,425,885,277,357,428,896,036,949,083,283,483,678,620,577,634,813,
435,822,701,777,983,271,496,750,641,707,829,301,816,812,420,798,166,880,085,
256,230,628,946,976,681,480,095,690,070,913,838,799,091,175,650,664,235,437,
685,250,079,998,827,718,979,102,767,634,621,725,716,631,486,344,932,438,933,
844,271,119,221,623,236,986,707,851,734,183,865,099,416,279,386,132,078,044,
853,176,810,202,441,217,805,188,761,921,030,423,195,742,975,681,410,643,443,
065,003,894,585,946,637,217,108,483,947,941,819,185,017,797,583,284,995,425,
450,175,748,839,658,574,182,916,528,238,920,626,708,374,597,278,112,025,171,
929,457,750,861,041,913,552,923,795,658,726,221,324,086,401,674,150,645,219,
418,687,002,079,118,880,328,043,358,837,973,091,112,475,531,102,064,321,723,
730,712,511,748,153,222,425,014,199,547,181,488,377,480,299,786,643,132,325,
199,145,758,912,375,369,969,607,895,164,238,210,546,861,083,512,626,291,923,
206,432,496,892,549,984,707,770,794,713,536,889,909,175,263,951,537,440,042,
598,790,882,270,039,099,031,447,252,452,430,198,843,217,348,419,141,217,078,
705,460,287,860,625,610,068,440,018,594,968,813,643,021,576,130,373,487,653,
610,600,512,299,028,870,658,498,311,002,548,174,166,023,526,797,736,079,953,
436,730,965,501,724,700,335,111,070,683,444,043,849,883,099,788,030,822,932,
754,923,913,551,510,392,884,112,792,024,392,824,518,034,529,688,805,096,260,
902,419,196,206,448,136,503,071,923,326,197,082,144,151,136,962,455,244,598,
954,241,037,469,781,912,361,599,426,440,842,083,752,323,817,587,636,264,487,
455,502,571,131,476,068,311,846,353,669,605,496,023,399,993,976,981,879,657,
715,142,671,239,839,506,176,231,325,927,927,700,861,484,082,599,293,712,277,
555,230,084,511,584,810,695,142,508,424,322,367,335,174,871,692,730,937,264,
128,325,404,064,358,663,003,420,590,054,085,184,253,292,263,059,588,196,330,
397,170,709,627,878,101,058,400,280,565,761,078,486,411,962,586,740,006,627,
865,940,529,916,234,448,739,887,759,279,950,147,869,072,514,116,094,559,790,
581,837,457,275,825,759,858,809,415,949,049,242,447,488,821,351,549,118,031,
841,281,366,334,617,910,433,073,986,763,925,765,618,553,720,683,027,139,358,
732,009,686,607,107,647,950,471,463,240,225,579,478,429,911,953,036,072,168,
957,374,092,796,713,911,574,756,603,170,904,142,228,822,511,681,453,738,005,
790,924,630,021,911,348,683,918,785,141,620,085,020,716,364,428,358,727,214,
953,355,227,595,704,907,508,946,940,032,277,338,280,276,258,906,782,394,362,
331,114,917,547,735,307,995,443,212,855,533,378,732,795,158,937,284,113,586,
627,685,014,317,041,777,516,120,785,321,469,355,203,005,872,558,338,817,144,
452,636,579,396,260,737,842,215,070,409,000,483,136,570,142,402,391,215,559,
451,409,374,289,850,716,074,490,250,275,026,169,197,535,107,096,473,289,410,
377,446,833,651,620,698,186,397,152,361,030,635,764,260,494,252,792,044,687,
323,258,191,877,230,086,716,215,261,524,890,912,341,824,836,371,641,453,811,
507,041,217,845,485,619,322,579,924,826,334,413,716,077,230,026,852,097,198,
552,893,622,771,936,019,597,770,830,643,319,336,118,869,123,235,334,135,729,
820,456,521,654,206,688,237,467,638,679,752,593,509,404,766,305,440,910,691,
606,758,012,549,090,807,197,754,428,652,368,968,092,500,470,639,543,735,335,
841,899,442,136,107,417,244,149,446,984,306,623,558,897,892,044,985,634,431,
047,033,914,608,415,692,920,551,504,267,411,604,492,741,643,671,158,786,344,
755,701,160,164,960,812,250,885,146,720,600,417,876,060,780,562,995,381,297,
100,522,267,384,171,377,382,915,483,484,748,418,688,600,152,323,299,186,943,
892,958,164,057,086,442,686,234,357,444,337,951,580,449,376,423,946,515,422,
807,402,273,580,358,021,999,705,039,091,819,393,189,327,913,193,432,143,307,
954,180,604,015,728,263,509,281,472,746,666,862,544,294,282,229,721,412,765,
273,541,728,972,596,772,658,448,553,998,581,300,710,487,253,252,416,967,737,
038,155,796,895,216,167,144,065,352,102,168,862,218,317,283,204,893,181,086,
996,902,102,318,847,285,170,173,852,297,041,990,927,561,067,224,970,515,348,
172,602,464,563,279,735,212,976,882,526,984,261,301,193,502,257,958,324,747,
027,921,553,807,419,838,841,850,062,860,259,859,248,106,916,022,175,564,844,
298,846,713,558,273,431,835,884,136,297,615,300,102,771,060,383,728,613,101,
126,399,260,168,787,085,328,631,285,555,121,703,544,280,893,752,405,935,837,
167,776,863,452,520,562,758,822,953,047,822,257,534,640,114,132,276,602,426,
943,540,581,590,740,515,386,739,358,894,940,852,183,913,622,894,143,512,683,
756,901,787,339,184,378,458,821,264,882,772,966,683,688,581,655,685,838,725,
836,364,299,088,664,177,488,532,854,847,162,052,310,230,862,090,991,763,275,
244,982,932,844,003,094,777,758,643,375,358,292,373,528,693,553,356,536,829,
682,426,870,563,739,504,581,457,985,934,154,972,571,521,757,405,427,508,241,
795,331,027,550,891,569,268,598,434,854,523,709,261,261,975,889,627,835,151,
716,091,135,095,092,869,250,627,795,598,107,532,500,352,980,240,122,089,569,
383,552,777,659,946,215,961,288,221,438,613,678,830,571,648,956,267,208,216,
025,907,768,277,141,670,303,488,501,600,231,434,903,130,407,577,116,324,004,
034,421,032,731,262,481,884,482,288,468,444,064,404,571,609,624,957,296,244,
369,093,890,572,947,607,081,395,221,602,479,218,427,837,605,247,858,734,925,
441,697,087,154,389,293,152,841,068,787,775,153,661,468,054,863,544,315,210,
257,411,844,452,984,250,480,679,182,659,261,111,269,472,709,153,702,785,800,
369,847,144,969,223,960,989,652,576,710,508,220,333,911,382,301,363,846,031,
544,503,689,715,214,916,114,873,382,302,671,825,110,663,958,933,071,829,720,
698,045,876,823,465,714,973,237,156,995,180,768,665,166,643,843,764,523,402,
298,770,243,669,239,359,330,694,585,781,004,116,728,308,169,262,189,713,161,
433,261,086,133,770,234,302,892,619,734,311,550,096,746,654,122,353,091,379,
761,909,800,334,002,749,934,146,544,111,404,907,687,263,399,492,908,068,384,
718,333,911,407,631,648,310,934,475,912,192,947,427,098,438,926,352,558,087,
845,640,940,426,329,885,937,194,445,043,111,465,718,000,433,035,786,871,271,
937,161,075,763,643,963,358,595,840,750,834,043,785,876,300,016,788,991,100,
038,516,481,128,704,149,493,558,190,171,716,132,137,021,553,255,186,347,828,
945,420,734,257,652,755,871,338,435,008,969,872,342,812,117,342,432,876,250,
549,521,549,986,135,408,822,743,121,486,214,471,662,169,990,160,800,226,198,
029,768,511,239,880,203,216,941,131,775,285,099,787,931,899,247,671,316,550,
259,716,276,492,692,651,790,997,033,512,951,464,408,475,085,778,190,619,626,
259,114,546,452,196,797,304,702,000,674,855,508,602,708,031,469,964,364,362,
359,934,336,792,164,227,540,785,380,565,312,997,308,884,291,923,110,493,587,
664,196,748,937,181,133,811,800,479,879,005,105,506,794,287,349,310,455,166,
131,364,413,344,142,055,958,287,181,011,887,281,589,482,074,113,570,979,092,
919,926,292,983,541,302,346,938,843,965,708,548,158,057,270,362,973,293,866,
825,843,981,737,188,691,516,492,301,644,135,117,293,055,313,544,567,932,718,
591,853,922,749,433,483,310,580,597,478,515,689,977,747,797,696,734,467,891,
040,519,379,171,202,241,605,506,594,749,733,586,022,764,552,224,989,620,108,
826,865,905,931,960,537,447,370,332,386,056,613,929,286,030,007,887,740,960,
570,967,809,169,830,224,834,128,562,421,637,995,332,648,811,571,301,466,102,
753,023,180,664,778,064,407,819,065,659,482,384,356,633,820,456,089,050,667,
898,502,710,435,977,798,707,402,717,899,204,224,640,736,582,953,689,840,557,
701,495,422,581,892,888,130,509,983,556,622,408,791,180,458,568,461,183,189,
920,255,037,940,765,460,790,948,804,668,724,639,959,162,794,848,035,528,711,
619,573,488,960,068,197,432,907,150,804,295,920,941,658,245,989,630,308,487,
232,799,942,319,650,529,189,771,135,874,606,667,773,441,176,672,020,785,269,
852,362,164,383,393,122,746,379,086,312,614,263,411,575,774,699,923,132,256,
880,001,754,150,408,046,174,718,070,589,722,570,938,604,423,807,467,920,976,
433,124,964,735,480,774,188,023,888,707,454,648,723,644,142,319,502,373,289,
717,229,118,988,753,536,234,468,093,108,537,628,710,210,598,970,696,469,231,
128,077,339,175,988,477,231,034,104,476,438,194,635,079,156,224,558,166,665,
458,771,095,171,025,626,297,256,180,320,624,188,059,697,113,040,259,101,458,
813,887,034,182,075,358,813,345,560,478,041,138,086,363,872,301,810,288,676,
536,330,933,552,347,352,975,418,197,915,342,719,526,752,337,437,156,233,003,
204,861,288,082,786,157,354,820,650,456,108,723,689,726,276,793,119,128,367,
436,068,132,493,849,848,590,680,601,860,319,409,628,388,685,541,875,171,845,
792,339,099,963,312,490,151,309,569,952,001,409,826,933,558,102,705,577,731,
836,204,262,338,699,808,888,861,848,102,700,249,340,186,978,437,315,554,639,
619,842,664,700,386,063,856,882,976,984,802,361,603,470,025,504,704,000,509,
890,200,085,591,480,417,336,523,990,472,247,128,565,482,114,090,969,513,827,
406,690,333,681,460,081,715,105,514,520,598,184,581,332,485,586,016,080,408,
511,959,140,315,099,887,949,638,594,729,986,441,693,433,138,947,967,425,787,
908,768,617,569,946,241,395,802,473,270,205,928,912,022,994,863,327,412,245,
756,350,010,773,902,292,935,374,190,174,306,612,277,415,872,366,684,132,760,
852,597,067,233,304,635,677,354,627,915,324,962,938,016,389,048,129,915,894,
991,881,593,502,987,005,810,091,785,163,701,063,665,644,622,979,521,036,125,
074,095,078,782,852,850,832,865,420,313,729,600,660,602,030,350,562,511,795,
724,649,714,215,614,545,011,581,865,846,338,319,294,960,842,345,639,815,311,
685,227,407,886,230,873,703,574,566,672,889,569,304,055,953,641,682,171,777,
173,393,477,037,116,223,456,143,045,375,804,237,322,640,347,856,983,071,727,
247,205,928,274,661,676,205,970,371,331,797,294,358,187,101,044,075,371,417,
764,862,102,388,548,790,737,514,375,036,517,617,227,352,317,741,309,715,129,
936,195,824,244,925,679,788,995,833,119,512,863,619,348,305,738,201,672,045,
832,712,687,065,894,890,123,703,012,699,071,193,107,068,091,292,741,202,331,
462,371,642,950,516,210,034,857,535,411,471,504,476,465,921,597,297,641,178,
397,069,652,528,100,271,787,201,386,297,083,587,377,633,776,900,319,118,515,
468,409,162,865,682,456,405,964,190,077,854,767,914,938,572,616,270,075,451,
446,372,293,175,273,468,768,269,099,433,285,598,443,876,958,528,908,437,066,
785,842,687,041,450,766,135,893,323,062,840,605,306,107,286,967,166,401,673,
545,715,192,459,801,350,757,737,986,503,493,465,515,877,958,783,746,531,858,
118,218,795,457,099,672,712,083,591,332,825,728,505,532,087,188,337,146,103,
228,456,123,511,926,922,072,558,960,323,498,705,073,493,680,167,682,610,901,
443,521,851,255,116,275,829,473,430,791,903,070,175,619,268,098,673,448,998,
608,470,471,027,847,173,235,740,908,746,363,713,909,330,086,669,946,567,979,
683,249,476,801,348,248,620,627,774,573,539,516,042,428,267,692,272,906,674,
982,074,894,572,304,800,676,464,407,214,914,832,259,406,075,301,382,750,603,
285,139,575,259,449,708,707,385,981,804,763,637,342,401,497,835,130,994,722,
015,624,263,755,300,885,813,703,310,954,396,034,822,697,229,447,230,551,642,
175,491,329,157,142,277,422,453,704,771,422,194,049,658,855,030,275,929,821,
604,582,681,342,951,534,071,285,342,952,437,785,164,524,214,357,324,038,523,
222,442,468,392,582,831,560,510,897,574,515,650,946,692,482,364,701,266,589,
134,627,792,714,098,342,641,749,573,631,192,601,021,632,248,140,653,153,940,
924,338,639,690,213,660,227,161,724,967,945,623,094,563,452,679,726,585,715,
671,966,006,306,347,863,181,920,833,134,198,942,258,881,233,945,281,455,260,
898,916,969,515,707,921,982,767,087,321,703,862,908,231,129,937,732,541,855,
889,053,789,606,079,780,127,787,176,006,987,124,397,556,628,713,328,262,252,
258,419,336,384,706,220,154,751,785,775,223,430,371,922,162,531,349,554,002,
646,967,670,888,357,536,513,557,507,944,739,499,289,545,828,028,336,668,347,
465,256,990,609,974,833,219,505,237,636,562,366,227,004,491,749,838,948,178,
539,601,591,270,436,333,074,493,621,249,537,671,866,991,070,133,273,328,829,
046,362,824,450,641,692,398,938,899,393,360,926,704,898,231,108,640,206,949,
199,308,292,084,802,153,347,316,316,045,173,542,991,667,989,419,952,762,394,
392,262,170,980,072,029,549,356,753,880,627,221,552,320,634,117,242,715,371,
831,439,379,525,158,473,453,893,584,091,453,977,312,997,921,939,456,411,150,
943,865,219,515,679,844,696,070,837,975,992,807,785,475,333,273,363,935,735,
387,682,605,946,117,499,372,278,414,432,630,593,509,897,370,222,621,251,333,
600,814,420,930,830,967,401,569,761,897,818,121,208,368,029,991,156,992,242,
559,938,371,365,856,699,985,978,435,719,682,146,125,172,834,469,813,168,133,
282,204,451,036,599,032,627,489,983,849,159,110,575,336,952,938,621,439,096,
513,140,526,089,067,949,624,590,143,323,452,442,228,164,210,707,726,663,670,
817,764,571,500,693,871,465,574,101,748,727,825,943,606,145,595,137,384,265,
005,445,602,378,389,404,345,718,673,959,466,088,626,293,312,082,544,383,145,
713,914,123,349,611,058,715,372,888,431,972,623,386,259,297,855,657,687,427,
676,502,093,545,708,491,343,345,812,456,065,052,616,903,262,666,119,312,734,
014,453,784,730,380,771,787,775,765,757,341,794,658,156,511,369,477,862,942,
911,048,721,764,723,530,061,469,183,067,651,038,190,200,744,458,230,601,293,
195,667,794,827,773,830,160,276,954,384,510,323,209,728,630,351,159,577,960,
565,362,753,575,294,613,617,297,541,602,560,240,521,138,480,043,032,674,372,
738,086,465,393,933,626,675,154,846,896,823,914,227,097,230,238,938,514,092,
516,719,546,922,187,888,578,050,453,827,911,080,344,798,417,872,415,471,379,
517,221,466,211,763,790,230,747,182,269,477,661,869,163,833,827,799,275,696,
399,822,488,635,675,588,603,956,929,784,924,598,922,147,087,630,018,124,854,
382,392,666,386,338,808,977,000,816,109,483,794,351,510,945,815,225,753,982,
105,753,388,793,639,806,417,998,062,433,647,617,141,805,342,775,840,476,812,
703,828,855,569,721,425,547,236,760,978,463,104,571,744,558,332,810,044,561,
137,351,580,678,233,005,775,123,788,483,512,475,855,580,228,106,003,274,022,
971,807,288,767,814,141,160,228,656,987,829,014,154,846,352,271,244,836,206,
723,941,946,062,919,323,843,640,676,307,716,668,684,067,660,448,083,285,374,
095,571,689,049,300,348,237,564,151,517,943,698,544,132,309,003,176,219,711,
356,758,665,510,979,927,166,800,627,682,667,769,536,906,558,077,573,216,562,
205,594,431,119,959,028,139,411,584,970,046,303,035,490,342,893,743,974,221,
826,590,543,181,039,057,483,559,579,679,622,998,319,706,060,941,682,089,156,
236,137,084,335,737,200,759,101,930,136,216,924,766,199,266,142,571,872,061,
225,313,468,023,831,489,560,986,652,466,334,925,767,307,130,998,422,060,024,
160,234,136,741,553,984,967,648,971,665,157,412,869,074,268,649,127,996,085,
349,059,685,893,936,575,671,712,397,952,459,090,125,758,982,309,631,713,354,
798,930,657,468,140,027,701,159,486,586,434,211,296,177,135,926,303,707,545,
085,612,684,991,129,170,567,584,287,215,095,565,057,289,238,477,975,123,516,
068,292,442,245,340,515,083,292,961,112,240,271,266,197,113,957,246,562,152,
892,326,557,585,967,510,355,492,850,955,446,987,820,806,417,431,086,702,777,
607,134,245,365,484,717,502,410,152,124,516,779,432,757,658,668,363,516,724,
493,612,948,106,858,066,416,310,398,264,319,561,400,000,294,393,963,565,394,
720,108,067,062,409,274,789,536,308,955,572,667,547,928,862,802,603,710,109,
078,618,514,461,440,860,696,325,007,485,723,186,842,412,720,967,280,321,175,
851,035,269,434,357,677,026,896,177,740,016,283,887,600,482,695,661,287,740,
606,044,764,523,817,891,376,066,086,292,795,381,590,985,097,965,802,648,707,
729,094,941,270,715,170,182,197,989,564,166,699,893,764,461,975,681,006,965,
880,999,282,499,462,120,495,064,417,396,588,498,028,952,378,428,550,728,275,
132,286,629,512,801,255,910,342,905,208,251,386,669,099,420,910,651,983,977,
140,937,194,716,567,522,212,562,679,619,909,605,673,469,189,232,000,073,460,
694,681,853,766,247,603,907,386,693,670,380,522,308,230,647,142,005,242,766,
467,683,848,551,555,516,896,486,899,795,482,180,569,282,428,671,045,078,625,
590,596,629,391,225,819,851,239,139,063,438,551,755,641,461,456,775,093,801,
237,194,672,318,319,264,133,008,768,839,855,851,585,199,672,084,202,615,556,
300,825,924,848,815,052,528,967,761,627,851,414,498,957,688,148,890,229,387,
191,278,975,258,718,639,203,594,587,999,827,379,392,570,612,852,426,355,926,
113,403,460,357,908,130,071,178,345,086,432,345,377,040,534,623,342,365,983,
114,675,352,933,541,163,980,278,958,135,952,593,756,715,059,863,593,187,473,
002,785,846,602,051,544,780,719,387,354,818,658,835,207,584,673,531,536,577,
306,451,110,384,937,610,720,788,483,934,033,928,870,722,730,114,401,582,481,
085,550,902,174,761,340,281,071,784,666,366,057,328,180,969,880,968,922,927,
309,486,590,638,845,361,366,691,748,515,762,995,470,748,784,755,329,402,791,
750,060,730,749,924,671,857,972,723,047,555,778,118,744,344,725,246,572,359,
402,512,024,556,175,794,728,714,335,088,006,007,678,457,107,291,967,173,347,
238,744,545,425,971,012,715,947,348,420,146,185,536,346,288,212,460,433,489,
318,844,825,728,778,593,016,042,207,652,988,884,378,848,586,837,841,362,745,
324,691,391,376,696,712,328,074,750,007,818,076,244,465,856,842,990,965,723,
857,071,083,246,765,836,300,492,439,851,221,449,457,258,812,836,066,024,527,
951,017,133,336,308,542,344,591,644,740,910,919,498,429,523,674,390,836,611,
543,988,635,165,429,037,360,457,945,317,306,066,624,160,980,005,370,418,952,
303,217,239,995,170,746,116,438,282,613,836,387,242,848,581,507,782,878,942,
790,360,503,462,436,421,704,153,350,606,693,468,826,247,930,368,739,590,758,
356,412,851,460,656,989,922,444,172,467,984,642,952,161,107,175,801,738,291,
212,388,481,305,061,105,833,972,396,813,079,433,860,738,018,921,019,814,515,
169,778,501,874,023,612,709,612,930,070,867,830,622,135,106,501,444,612,059,
691,015,263,461,533,782,674,809,922,494,769,977,198,603,030,469,659,056,852,
740,900,972,676,056,505,020,026,410,016,225,941,446,334,482,476,079,543,015,
458,226,762,719,427,242,599,667,086,281,887,085,573,954,265,925,032,061,038,
886,915,783,036,164,190,784,583,554,313,360,296,585,954,609,079,189,172,048,
575,781,837,587,869,431,779,518,801,187,309,831,825,645,755,232,882,754,881,
149,296,694,051,798,978,037,059,938,622,983,718,312,866,387,195,478,787,660,
375,321,044,449,680,977,128,218,739,856,171,863,511,372,842,086,637,995,859,
722,901,602,398,360,826,229,311,434,696,467,098,319,234,589,925,936,422,419,
780,321,796,351,051,449,620,288,745,698,550,128,072,227,635,597,613,199,640,
420,689,108,199,771,481,700,342,295,588,372,186,755,418,153,780,909,738,857,
466,262,307,074,054,859,511,130,072,585,993,649,992,132,280,682,273,514,572,
043,964,755,227,023,933,155,858,001,264,410,316,654,495,684,288,519,551,969,
090,421,827,454,866,439,909,064,770,819,499,288,128,636,540,668,174,803,907,
393,818,896,737,735,090,800,639,265,579,564,608,505,648,930,171,026,064,286,
577,862,643,866,396,847,753,817,492,303,800,131,865,963,697,346,284,952,332,
934,768,410,358,318,377,302,999,683,559,385,889,758,785,949,744,457,273,759,
686,686,736,030,781,971,324,735,743,270,445,844,214,832,046,686,186,942,930,
226,675,856,553,971,507,041,966,262,422,887,909,822,421,493,765,576,451,201,
410,181,085,173,344,946,743,960,607,784,384,812,663,089,621,564,447,515,213,
854,757,203,844,173,676,810,479,054,996,305,910,178,741,858,130,351,946,269,
626,641,905,191,207,090,068,744,266,732,242,540,619,513,481,368,911,651,438,
110,536,885,547,276,841,138,168,593,287,226,698,047,684,114,897,575,210,672,
593,800,521,379,572,529,893,827,576,535,662,707,884,317,104,169,886,128,146,
186,319,070,689,060,996,104,074,334,397,042,830,174,921,840,285,642,928,793,
570,989,500,387,946,090,811,530,795,098,262,611,025,455,509,922,398,562,637,
908,984,256,235,400,581,093,475,441,656,011,076,653,241,184,958,735,147,498,
075,640,675,847,819,745,783,544,704,982,997,385,109,916,690,830,025,117,162,
301,155,358,931,203,515,496,678,716,342,612,527,068,813,584,027,407,490,252,
120,548,616,553,962,852,966,009,209,451,182,083,983,042,395,473,344,124,997,
434,802,196,761,571,920,310,256,810,097,583,371,626,291,967,001,640,083,397,
105,332,675,348,045,134,705,305,794,870,422,052,759,266,652,395,011,440,633,
845,851,001,878,013,423,029,302,762,002,959,799,746,037,305,493,204,616,556,
952,421,227,163,807,270,542,512,228,429,487,423,890,946,610,342,140,574,899,
327,734,978,618,073,606,115,922,872,632,238,177,710,057,082,310,636,453,447,
537,092,944,337,278,152,736,847,609,409,491,525,523,015,268,380,030,333,948,
837,173,586,548,649,326,939,043,199,064,247,898,386,454,383,680,589,877,909,
117,079,634,516,744,993,159,944,899,059,923,499,465,333,082,304,184,151,086,
174,148,419,697,417,176,630,267,178,929,672,461,993,190,715,242,789,474,927,
903,500,447,702,106,304,316,222,650,078,370,317,818,292,628,319,960,128,471,
822,181,082,328,158,616,078,302,277,390,533,967,855,856,410,416,651,071,278,
360,857,677,160,090,707,090,655,070,152,170,071,318,669,862,986,777,433,245,
917,289,039,809,368,770,861,505,234,273,997,943,703,186,452,178,308,625,992,
570,403,720,734,818,556,640,949,545,723,198,332,353,535,692,129,961,096,475,
816,542,893,698,256,948,236,462,523,136,465,275,486,339,536,989,889,637,732,
393,121,511,291,478,821,225,101,038,479,694,564,878,078,307,188,768,100,200,
116,145,728,925,424,478,083,176,417,716,075,665,963,763,662,180,628,777,440,
503,364,378,987,495,594,318,217,071,365,464,024,751,375,525,826,266,198,830,
010,912,951,431,785,543,053,073,073,874,028,209,594,986,949,645,035,074,267,
864,209,438,388,504,519,573,702,893,127,714,217,519,030,346,883,384,509,116,
006,862,144,128,582,241,069,701,120,938,953,492,018,732,360,366,686,097,401,
032,365,853,809,668,744,997,837,728,784,417,122,787,557,223,808,600,788,909,
298,648,233,945,113,683,196,110,616,729,662,630,776,841,856,572,375,360,031,
248,760,402,350,916,145,771,300,704,426,581,312,856,973,298,232,310,778,847,
005,927,450,954,559,447,100,120,740,546,979,732,949,598,487,838,567,740,523,
542,957,992,263,788,927,083,930,419,399,372,549,483,857,891,311,290,682,917,
497,309,306,606,514,980,503,499,345,619,978,942,206,426,395,427,102,182,170,
030,372,166,252,899,738,420,044,881,264,974,678,882,047,932,104,676,305,256,
420,799,902,976,306,225,607,988,723,930,909,863,439,013,817,494,756,059,421,
033,271,276,308,775,399,923,720,019,026,606,568,533,155,519,567,967,675,772,
615,958,654,732,980,313,989,668,897,090,168,017,417,654,251,562,763,402,914,
999,399,427,884,532,820,411,676,408,093,342,044,700,733,217,089,768,338,031,
884,504,969,215,305,470,625,770,580,022,022,874,929,023,995,797,617,591,303,
498,902,280,368,323,019,352,971,097,338,936,686,519,764,911,871,523,289,485,
325,007,725,286,588,313,095,164,118,864,209,597,290,799,545,583,754,567,907,
518,395,190,510,426,670,407,065,620,233,267,327,017,764,741,785,449,594,541,
192,514,085,998,514,378,726,123,715,525,387,247,355,931,170,339,329,877,936,
883,803,271,379,035,265,895,630,435,628,966,886,555,610,532,348,796,651,384,
609,766,676,485,129,712,687,638,527,537,302,084,775,521,405,108,151,851,727,
325,187,068,358,519,783,637,905,777,288,800,148,024,020,749,004,549,055,905,
896,579,930,869,498,312,215,949,910,062,910,843,935,055,202,923,465,318,614,
151,231,942,690,995,188,862,967,632,231,684,658,733,466,391,107,821,087,293,
073,048,065,790,599,942,775,021,887,981,120,437,324,702,958,969,713,471,245,
162,319,969,495,421,890,804,400,660,604,964,029,955,619,661,148,732,866,823,
866,054,563,227,264,751,431,268,675,015,645,568,180,830,230,980,272,523,774,
680,241,933,915,381,681,773,744,135,846,096,827,572,181,542,125,619,662,014,
008,177,726,790,228,423,300,724,187,964,090,515,656,711,323,753,273,901,930,
260,494,558,911,034,857,206,374,093,066,815,684,807,316,347,394,000,236,935,
293,198,654,437,630,432,685,121,390,947,480,704,590,083,228,701,831,804,368,
588,650,528,883,002,046,679,252,255,917,275,890,055,228,938,274,762,381,609,
124,058,631,411,029,765,015,775,509,097,275,693,519,318,187,761,640,940,934,
029,947,173,693,134,455,510,907,397,571,355,695,000,823,181,087,126,801,311,
740,760,478,577,220,021,545,582,697,385,594,311,796,364,694,648,455,603,810,
275,246,838,965,947,908,095,521,977,367,628,425,272,652,094,093,421,153,009,
144,925,501,487,248,636,695,673,642,700,005,010,239,778,228,813,318,261,142,
018,619,068,229,472,178,309,008,629,557,319,217,895,408,643,514,982,750,729,
629,015,389,692,097,183,296,464,016,010,364,873,151,290,729,294,025,986,476,
106,049,126,375,535,678,070,822,406,047,723,171,898,421,358,093,252,278,335,
549,847,218,844,549,394,712,167,791,206,753,044,767,772,329,990,764,638,910,
977,812,576,562,572,117,094,330,772,712,976,111,193,486,517,048,033,486,443,
409,897,960,086,229,057,277,838,383,567,840,080,401,096,140,016,863,857,801,
788,562,340,266,536,476,746,721,847,178,352,091,230,794,684,821,121,797,699,
820,183,108,713,543,250,385,595,616,654,459,215,376,364,133,086,494,812,449,
263,713,706,476,096,490,643,785,993,447,582,759,674,195,786,049,164,385,039,
895,547,751,595,990,928,140,907,928,870,714,273,068,810,733,146,768,963,874,
448,686,605,410,910,069,792,301,754,389,771,714,023,952,350,099,797,440,650,
168,901,716,572,486,111,467,329,049,466,638,052,234,392,416,211,297,164,626,
461,916,660,855,207,862,781,739,387,823,922,065,578,189,034,088,235,256,938,
274,608,832,757,900,021,183,661,988,170,383,257,024,998,612,305,777,507,904,
090,574,695,161,142,302,151,182,526,675,701,133,408,268,265,113,494,669,932,
509,693,002,750,478,363,552,980,686,559,809,819,042,516,690,091,685,492,137,
047,658,171,873,064,549,795,455,969,465,397,612,078,246,359,313,464,365,103,
885,625,526,492,378,723,772,769,885,739,812,306,242,648,668,446,107,220,582,
734,745,054,495,230,473,788,521,175,297,333,000,669,948,221,219,457,670,725,
798,779,338,224,607,848,569,108,350,663,331,324,640,854,804,651,947,376,816,
194,087,644,295,107,527,856,099,743,901,069,933,042,697,941,380,414,449,551,
403,484,635,357,525,299,606,572,887,666,226,640,432,566,626,941,896,812,553,
402,259,688,976,029,604,846,644,697,700,570,483,158,800,441,538,717,565,133,
555,874,354,547,496,893,442,098,726,234,469,026,147,013,128,847,477,343,710,
411,610,398,685,054,849,131,284,363,115,993,207,000,814,666,569,313,459,328,
520,861,133,649,880,900,607,282,324,574,839,723,847,339,483,357,813,840,735,
974,510,336,384,072,094,077,301,786,376,075,585,018,188,470,546,886,992,628,
923,250,789,399,592,719,354,817,423,954,841,257,136,723,912,800,799,897,238,
729,351,631,069,826,886,638,231,471,625,819,116,825,233,351,902,008,612,440,
825,685,467,529,970,318,257,873,764,254,985,344,964,712,728,820,621,520,939,
230,463,810,200,387,293,097,975,392,038,967,856,585,387,058,341,141,189,180,
623,556,981,199,956,860,304,355,878,626,064,249,389,157,777,002,369,310,862,
647,800,902,357,908,782,760,508,524,149,091,523,631,938,793,530,745,171,649,
135,677,076,806,216,497,860,805,815,780,869,620,580,222,372,104,547,590,318,
674,696,358,312,717,878,932,088,226,014,535,235,361,470,891,763,057,711,453,
646,721,546,371,754,675,907,944,521,232,042,520,175,322,047,079,498,837,512,
898,046,771,630,664,089,088,928,512,938,206,885,650,412,116,205,946,509,565,
202,503,357,940,636,785,204,087,482,160,237,025,693,291,523,945,408,539,995,
876,841,507,918,355,232,516,152,866,216,977,084,809,075,135,689,267,260,694,
709,364,419,210,615,025,851,997,442,346,129,497,080,177,473,628,924,395,917,
505,018,816,255,932,626,419,502,272,988,718,968,044,822,907,553,719,477,200,
966,154,634,180,205,794,299,925,132,891,312,309,269,706,855,146,403,965,680,
619,032,826,285,183,987,043,795,121,229,186,821,834,397,709,342,141,209,703,
596,966,877,389,379,674,516,117,425,466,384,737,742,391,728,898,923,156,362,
082,268,281,422,566,167,742,173,178,043,686,385,540,982,750,887,649,307,529,
469,406,627,097,473,821,092,098,510,376,757,085,396,060,502,688,330,156,076,
875,740,519,748,006,085,159,105,211,539,991,678,647,388,488,948,285,980,933,
945,242,255,245,660,745,448,520,693,207,436,655,076,383,574,694,715,474,158,
834,361,568,218,570,085,614,609,527,173,863,784,011,108,065,864,572,177,869,
628,936,214,764,145,472,658,211,034,546,918,267,604,529,274,520,565,202,957,
143,865,317,088,865,458,748,115,323,522,108,016,893,276,779,060,838,350,844,
332,741,396,593,747,443,197,213,182,651,648,163,537,892,020,157,376,912,129,
581,200,439,951,341,059,618,345,753,051,188,037,898,436,482,141,429,998,742,
012,841,003,710,711,635,099,343,061,254,453,669,604,089,536,040,997,389,261,
324,392,686,609,269,860,838,005,451,818,877,466,155,633,812,424,049,246,110,
767,843,726,871,315,046,224,336,370,298,117,357,604,456,398,520,725,627,283,
552,345,551,750,987,925,815,765,225,618,757,905,325,779,914,187,817,736,602,
062,813,035,246,429,571,354,803,222,449,171,165,947,519,361,487,740,004,514,
815,486,733,538,156,080,169,250,717,340,146,019,785,500,148,398,934,791,444,
590,633,374,847,852,343,823,976,718,605,920,285,549,569,584,324,032,557,681,
613,611,969,019,803,385,640,161,327,874,103,984,940,911,904,072,566,481,445,
210,354,953,303,865,358,729,445,691,774,445,918,837,807,433,378,580,979,333,
117,446,066,589,168,070,056,846,395,711,814,440,475,891,669,441,043,967,729,
868,521,907,461,363,974,659,676,964,516,164,324,307,760,248,465,164,673,956,
716,931,867,470,323,030,371,294,437,480,725,738,989,091,245,724,787,167,294,
869,838,467,493,194,835,692,562,738,158,783,101,056,514,611,779,201,272,129,
175,909,091,704,112,250,589,641,195,984,813,496,996,907,588,896,147,946,671,
831,783,680,244,763,771,932,581,021,895,918,047,916,144,728,821,256,922,396,
024,937,629,225,522,934,870,528,070,092,356,257,394,486,792,694,011,489,772,
034,987,108,087,485,747,801,257,312,494,714,267,640,965,900,627,327,062,350,
857,022,391,702,736,308,773,337,315,092,799,684,912,678,274,676,239,653,039,
515,952,782,118,607,655,939,386,059,309,243,840,091,040,819,971,421,195,822,
345,234,064,920,536,926,242,103,108,115,944,895,907,462,097,809,265,514,192,
972,047,483,230,935,264,842,196,547,607,962,955,789,764,792,291,320,658,736,
324,480,271,796,137,372,054,055,733,534,710,685,623,213,986,986,982,152,542,
367,136,251,974,621,254,919,747,881,691,034,847,575,962,991,161,758,865,590,
839,026,784,105,912,125,488,267,531,636,638,305,154,776,317,704,793,955,360,
914,425,351,076,563,221,842,298,216,379,536,837,790,159,793,939,499,401,749,
931,342,913,397,545,188,720,529,708,751,350,635,686,551,471,446,435,899,157,
794,497,396,378,105,793,500,141,016,957,957,339,400,760,673,268,011,542,985,
345,235,256,610,535,012,125,601,872,477,223,080,675,758,509,606,065,830,286,
077,694,269,079,897,654,365,629,033,351,177,636,415,867,504,773,692,816,753,
564,318,187,377,201,124,994,286,756,797,219,995,903,836,271,958,090,454,898,
149,450,773,277,513,100,114,491,653,355,958,810,300,294,390,661,442,516,310,
073,441,866,632,524,991,716,208,226,465,318,065,379,247,759,184,540,011,133,
703,509,438,000,332,584,018,092,204,470,841,995,813,630,231,419,475,156,777,
965,079,522,684,442,612,099,536,639,534,732,693,129,879,182,740,490,613,572,
091,904,889,040,971,552,722,173,141,090,785,287,271,492,999,049,882,327,837,
845,110,040,056,985,793,871,549,434,214,712,575,448,095,755,343,701,663,602,
424,255,043,325,143,877,072,852,038,081,186,391,095,110,590,758,243,370,589,
388,122,559,631,650,984,977,095,676,943,526,227,554,969,642,193,485,743,662,
113,695,750,640,393,352,115,461,489,904,956,200,632,096,524,846,282,640,220,
608,872,326,071,184,776,600,551,030,736,292,520,979,535,669,135,666,633,482,
615,072,563,996,554,773,539,424,375,242,623,185,526,349,706,410,569,083,932,
569,546,881,080,201,857,327,580,120,912,309,140,375,378,023,838,577,091,454,
711,525,400,860,619,608,785,458,655,416,158,273,466,650,230,257,807,709,348,
453,431,925,726,295,365,966,641,794,369,405,198,486,632,727,065,011,141,656,
241,288,602,186,986,924,039,064,297,131,456,070,446,133,249,534,005,491,106,
223,919,014,325,065,461,406,452,504,856,668,929,989,527,684,356,562,952,662,
893,370,456,065,688,294,040,855,299,869,258,204,064,308,170,199,770,235,461,
211,711,138,986,349,326,311,574,127,214,253,972,340,941,482,194,457,618,598,
386,421,173,859,766,802,462,417,613,817,425,267,305,725,625,864,903,161,112,
660,897,385,929,909,914,136,577,862,724,533,475,843,143,472,353,659,813,081,
105,419,457,252,153,078,756,311,563,921,199,699,456,518,734,371,106,587,734,
468,946,969,378,733,837,961,603,141,723,179,375,977,369,397,615,700,280,742,
725,176,288,722,165,473,510,623,616,108,086,276,885,747,165,071,965,128,510,
312,276,731,003,648,386,956,669,451,547,586,011,921,563,396,932,841,308,398,
433,286,694,236,225,197,581,875,209,351,618,894,332,710,814,872,196,375,018,
823,364,249,204,146,510,241,631,895,004,610,176,720,811,286,654,250,124,950,
104,261,598,518,941,444,472,602,996,344,814,446,787,126,991,815,858,355,057,
142,852,362,098,716,392,845,242,249,194,183,423,434,954,409,638,928,426,879,
026,449,879,495,986,345,905,995,095,987,910,511,947,005,439,885,638,170,870,
129,903,255,412,264,903,760,125,912,472,673,849,129,546,137,881,868,806,407,
366,069,687,153,371,833,120,012,122,045,804,943,690,580,978,037,100,290,313,
316,502,354,410,255,033,552,700,658,985,010,241,687,734,133,190,383,027,429,
605,959,981,971,566,172,493,827,039,935,892,259,536,188,688,057,854,016,908,
562,012,554,851,035,608,343,269,303,566,040,437,427,746,820,270,456,012,722,
232,829,297,840,749,228,409,001,269,773,911,983,732,598,836,914,881,508,054,
974,877,458,089,218,293,511,430,936,692,834,363,698,615,225,642,680,610,906,
695,163,550,836,777,218,427,007,724,747,189,332,841,494,073,042,335,499,313,
069,769,227,752,099,165,244,873,514,956,822,009,481,814,921,390,194,482,324,
358,991,804,543,755,408,654,710,287,361,885,082,788,155,269,308,977,207,739,
292,858,707,216,774,920,231,761,820,321,434,577,768,630,629,495,027,949,171,
931,414,366,178,770,027,128,613,235,383,343,039,664,061,567,487,192,388,393,
131,687,575,288,638,929,574,200,145,741,923,784,352,463,905,340,981,456,824,
423,300,377,080,259,436,630,252,323,315,700,594,613,902,512,629,908,028,809,
438,027,365,450,279,482,598,749,354,417,504,078,012,028,017,183,527,908,731,
018,092,814,386,758,065,088,453,550,013,602,293,533,065,271,914,247,657,613,
918,009,830,011,460,560,191,923,774,777,192,943,118,744,093,094,242,260,592,
374,285,091,068,021,928,444,652,827,093,393,556,387,199,189,689,003,297,978,
688,104,671,949,688,239,026,645,861,087,072,033,099,656,312,258,004,592,507,
091,465,459,934,026,860,077,705,635,470,732,340,355,904,733,625,924,611,932,
523,252,667,044,680,141,418,765,918,859,496,871,338,932,702,561,903,902,381,
231,555,816,261,691,450,764,026,526,623,835,931,669,655,861,158,152,937,508,
137,599,588,409,987,520,814,082,189,844,393,853,314,359,518,778,190,990,761,
778,914,162,882,173,864,853,014,391,017,952,340,353,725,744,763,867,562,539,
958,223,531,135,400,766,946,175,183,678,475,593,853,829,989,758,884,074,210,
169,390,362,837,894,739,220,075,696,758,360,166,317,643,419,861,113,802,949,
553,614,512,312,701,179,062,559,764,045,689,874,113,134,590,123,343,872,166,
353,652,047,489,972,922,147,351,452,210,693,389,621,110,533,147,469,986,577,
935,296,912,158,674,027,524,618,318,792,307,503,215,160,774,454,530,516,791,
456,046,124,807,596,027,732,215,317,876,805,552,373,232,540,799,992,291,596,
872,860,714,649,243,893,382,190,472,253,964,980,204,379,113,318,853,109,786,
908,511,247,616,369,137,470,765,140,571,142,600,077,047,874,190,784,209,663,
126,251,223,779,625,858,058,048,968,665,856,500,909,628,305,145,980,708,526,
058,044,970,840,675,284,838,347,146,341,178,211,876,764,437,529,998,047,065,
823,484,238,788,498,508,940,486,379,949,056,376,931,696,732,356,547,645,823,
030,470,961,908,196,829,903,989,701,062,447,258,314,560,619,273,596,101,566,
711,648,312,407,066,093,915,606,437,020,380,913,590,121,297,747,613,667,994,
852,784,399,326,979,178,319,319,361,517,829,928,177,174,422,295,947,605,715,
485,595,800,947,303,780,873,123,442,726,545,285,166,753,208,178,210,701,470,
377,015,493,089,977,619,440,199,955,837,743,104,498,192,140,069,725,932,502,
179,419,274,936,103,186,107,501,058,721,657,698,062,085,691,130,583,979,298,
874,334,899,728,439,685,374,223,798,203,147,225,709,444,058,780,747,479,787,
353,098,633,070,952,711,208,621,346,184,194,975,608,436,982,479,408,482,380,
737,356,633,995,543,627,136,421,897,861,421,091,292,454,011,881,460,440,195,
759,192,305,518,289,043,194,768,023,839,547,820,672,783,639,351,447,282,390,
634,386,520,127,379,149,722,271,859,321,144,892,523,889,193,155,116,430,966,
405,815,646,944,750,614,833,973,869,823,006,124,619,929,926,140,343,377,863,
775,365,857,541,710,093,398,059,199,224,104,507,057,102,644,828,629,582,124,
985,167,043,425,192,747,598,435,686,170,766,875,679,872,294,973,829,924,890,
750,924,043,389,073,920,188,892,588,410,762,686,123,557,377,783,618,853,541,
915,496,396,962,094,346,187,319,564,178,232,513,238,245,960,207,255,398,881,
237,785,896,565,396,023,931,567,518,397,866,216,880,461,976,108,584,412,802,
298,369,633,890,751,313,846,292,255,521,858,057,367,051,199,562,205,837,080,
224,952,546,163,985,647,246,320,842,684,055,000,520,178,599,840,164,592,133,
112,533,903,267,484,653,368,572,795,400,707,831,980,030,693,779,567,943,180,
605,238,356,247,999,345,191,903,941,859,264,445,395,694,947,386,967,647,882,
676,386,725,221,739,831,982,348,998,868,819,267,821,858,149,744,708,202,919,
635,570,355,436,333,985,683,553,107,959,202,737,139,325,515,457,089,202,128,
493,041,583,941,370,257,382,450,807,770,086,064,733,092,283,136,194,696,444,
052,788,425,404,033,355,427,501,608,849,103,785,505,784,143,584,363,887,865,
700,749,070,909,422,097,246,852,727,156,160,883,981,804,646,934,682,776,324,
278,542,157,966,879,302,840,584,177,502,479,825,761,096,853,390,326,089,141,
287,418,256,300,811,269,192,851,717,788,563,762,011,813,700,195,057,771,056,
075,804,318,350,282,304,651,580,507,088,299,227,996,877,419,141,035,730,513,
391,383,746,691,847,019,545,807,751,599,687,566,022,204,869,692,795,745,043,
930,171,346,953,266,430,152,213,352,921,333,538,859,169,458,784,480,263,481,
115,222,299,670,129,660,762,115,929,110,127,728,871,138,733,471,369,242,516,
299,599,645,707,158,834,059,521,593,634,796,925,440,293,907,410,637,550,158,
779,565,820,313,107,647,133,883,595,945,726,936,026,309,525,560,522,636,561,
124,770,184,926,345,007,485,548,437,945,760,302,808,963,158,816,681,009,891,
735,026,955,887,222,340,858,536,664,959,422,315,366,823,067,134,423,934,844,
408,952,956,486,174,303,944,216,396,545,675,488,640,877,741,694,414,892,257,
165,080,167,258,311,753,355,515,677,023,922,894,045,586,102,225,344,714,188,
583,646,264,303,718,208,295,879,526,895,663,521,831,984,386,015,742,435,426,
860,382,804,694,460,694,477,255,101,438,839,291,576,474,670,035,233,680,931,
814,880,345,741,655,361,630,540,937,630,631,725,951,712,409,174,916,626,943,
053,583,014,103,507,082,020,405,659,901,541,262,300,640,090,473,605,089,825,
575,297,252,510,064,694,076,166,206,596,148,078,189,038,173,637,410,952,628,
618,191,679,325,911,315,244,018,026,915,176,473,972,898,065,101,825,424,049,
358,385,700,289,298,670,470,597,809,440,682,507,794,999,263,861,375,383,354,
415,771,500,424,811,158,022,017,034,628,375,410,684,537,558,383,522,567,483,
369,803,273,800,485,786,402,442,593,643,063,483,866,160,757,360,404,911,887,
522,343,245,739,491,221,071,259,162,003,330,326,125,783,502,036,174,681,780,
839,188,520,157,216,780,405,128,889,200,498,368,165,219,862,640,324,923,166,
538,974,084,011,128,894,794,749,469,147,543,441,397,052,451,711,805,323,550,
491,857,956,566,630,533,444,111,362,436,249,055,354,663,208,831,875,097,489,
536,155,404,612,943,690,911,693,318,539,429,078,849,983,854,570,870,969,229,
478,312,249,713,372,069,987,301,727,895,424,720,060,625,088,262,443,432,030,
470,740,700,963,880,444,907,242,312,296,724,664,542,917,544,525,567,361,501,
567,181,698,124,895,476,633,960,245,241,558,142,687,930,347,142,803,973,012,
896,819,175,501,316,073,152,216,944,910,754,671,867,849,369,174,372,100,109,
154,323,798,405,942,225,931,899,017,401,944,652,178,689,133,902,070,264,558,
107,941,203,027,484,238,983,432,623,589,402,842,399,542,275,979,577,195,479,
697,589,344,811,818,775,158,223,803,211,268,431,134,207,180,397,318,350,395,
864,189,250,000,744,509,712,267,886,915,662,462,039,791,819,529,486,206,178,
357,209,512,139,401,837,288,858,638,414,190,969,824,306,870,526,432,036,953,
684,983,846,844,317,818,567,637,932,169,731,471,276,398,315,463,918,419,958,
953,608,379,995,041,734,423,582,885,650,131,809,500,531,827,162,090,331,740,
342,118,885,254,175,918,082,660,254,245,962,963,848,130,023,971,633,256,387,
198,554,215,960,231,851,553,157,822,337,171,888,357,130,868,854,186,331,321,
382,567,159,137,886,104,699,855,723,503,595,847,597,925,926,783,049,639,019,
527,644,340,129,415,585,452,445,074,375,269,372,251,320,091,658,222,465,620,
990,079,833,599,350,863,550,641,588,509,885,392,523,048,967,924,735,138,790,
525,856,216,826,743,537,906,795,818,955,242,304,056,922,927,954,046,080,984,
795,744,227,010,039,616,660,740,322,887,471,154,212,143,410,229,782,143,593,
924,531,185,553,941,757,757,271,995,405,274,356,398,379,048,221,968,704,274,
970,773,009,635,343,672,188,984,831,278,995,899,551,712,307,949,863,809,038,
033,258,765,511,495,619,048,225,552,945,065,139,396,765,782,896,142,370,235,
760,137,692,840,671,132,890,235,859,566,103,356,567,993,721,209,232,759,404,
958,835,658,669,507,102,377,964,681,971,326,366,496,074,055,945,411,549,789,
673,847,044,040,379,719,001,999,456,362,711,953,266,747,702,418,662,934,354,
872,653,433,569,648,983,258,004,626,608,574,101,735,933,535,074,346,358,180,
454,076,229,617,034,481,142,317,900,468,589,960,955,719,644,615,689,598,390,
852,994,935,106,517,563,220,319,429,114,393,990,523,241,102,218,814,477,155,
941,037,000,995,547,116,484,027,962,134,698,215,263,359,118,788,286,789,145,
101,522,234,745,577,319,018,855,526,782,608,117,678,711,581,114,269,849,838,
332,351,075,901,905,018,547,294,835,784,485,980,448,863,000,017,521,953,409,
691,594,261,778,070,522,726,270,222,818,808,586,990,886,901,394,492,902,625,
069,282,437,759,073,229,154,312,113,006,373,507,911,998,173,738,599,448,823,
439,791,176,424,699,534,927,227,339,794,146,184,686,027,842,827,973,455,213,
914,767,551,101,752,575,961,014,368,952,078,438,274,251,542,731,830,756,717,
834,149,848,145,412,070,392,408,823,645,616,815,882,789,537,260,520,371,311,
182,270,151,095,673,110,705,801,084,771,873,944,167,076,348,427,225,984,429,
804,026,805,935,266,252,541,552,041,048,059,256,217,334,178,134,394,481,884,
399,593,602,714,356,604,622,155,605,146,268,094,868,177,871,348,542,328,013,
928,841,088,131,572,650,924,442,154,060,322,998,921,942,721,070,187,964,172,
818,917,911,830,415,565,589,408,823,355,575,310,856,422,323,074,669,482,941,
354,672,027,705,053,212,122,753,421,214,347,026,768,047,113,043,965,706,553,
151,138,284,554,574,315,284,223,283,851,499,845,734,718,364,126,365,355,028,
028,770,008,061,998,027,249,251,653,975,930,338,774,646,222,623,499,798,643,
709,598,368,467,711,921,300,410,459,878,500,007,572,247,051,909,926,547,510,
924,140,589,823,683,306,282,476,337,906,823,892,879,569,037,907,750,044,587,
644,758,000,734,365,997,499,208,833,175,753,605,544,528,247,548,203,408,946,
242,435,010,669,396,656,353,327,202,651,442,616,003,032,356,472,855,666,169,
533,412,527,931,163,891,560,021,258,174,345,849,414,013,393,496,752,497,541,
889,105,354,171,735,425,484,892,091,586,393,692,356,763,482,267,170,663,129,
206,421,313,692,043,149,748,189,760,017,922,556,695,661,144,159,186,940,780,
857,284,797,527,449,895,508,634,908,923,411,864,081,803,657,560,109,890,739,
730,125,110,240,477,157,323,011,418,633,287,119,130,820,444,537,923,444,069,
623,530,792,554,640,909,240,464,857,872,100,301,252,293,412,679,441,329,231,
376,769,943,004,200,810,742,797,349,116,623,654,426,949,039,559,611,018,739,
405,414,875,958,383,028,149,041,113,441,651,705,198,007,328,212,944,624,345,
192,798,524,715,807,049,658,099,240,475,110,177,428,755,647,852,888,313,685,
577,599,088,612,036,010,909,250,573,050,094,403,877,831,616,402,217,982,895,
552,124,400,643,655,950,236,744,693,530,136,859,773,351,000,939,470,407,587,
532,943,751,709,030,700,182,880,066,215,721,026,662,916,270,295,549,763,807,
899,738,081,757,211,534,088,274,075,184,078,348,289,476,320,526,192,559,649,
659,276,846,886,471,221,556,303,897,380,781,266,783,656,740,290,155,112,098,
389,915,796,221,123,037,429,349,950,203,131,066,733,528,557,552,729,187,965,
772,999,673,532,345,601,661,396,614,395,836,415,452,581,552,998,383,927,109,
124,838,038,820,544,206,755,740,222,973,915,849,582,947,124,552,081,412,556,
750,863,299,853,659,181,895,794,314,592,006,691,496,015,048,103,249,308,994,
214,121,542,911,979,275,765,378,198,131,644,444,069,864,755,024,848,541,054,
191,563,248,983,694,092,801,966,813,041,091,515,798,123,456,946,329,995,586,
519,531,124,382,723,133,300,133,929,663,279,791,331,010,457,253,755,229,823,
513,978,578,436,849,729,013,375,805,418,917,188,526,379,080,007,247,150,512,
591,885,898,734,625,377,492,555,641,246,031,319,653,983,815,085,039,264,768,
367,638,017,898,272,036,971,393,987,829,754,205,714,262,763,892,991,252,653,
607,129,117,136,252,154,696,826,032,957,564,185,805,769,767,668,504,101,197,
166,738,493,165,801,272,229,419,067,833,847,927,414,923,957,059,011,262,014,
007,457,894,956,941,760,077,972,821,854,107,460,997,284,571,663,934,712,486,
610,084,153,527,017,836,819,505,195,180,159,177,888,894,011,499,839,210,551,
562,496,113,780,588,376,525,250,060,113,822,846,215,629,186,749,935,530,627,
255,965,531,125,656,299,561,580,308,533,699,016,578,216,048,630,714,436,601,
119,238,272,623,891,719,640,955,246,513,801,076,343,667,501,332,561,544,092,
952,899,918,877,682,934,874,978,726,462,920,933,687,397,908,859,390,902,074,
036,225,547,672,999,633,332,052,518,205,210,431,022,549,154,983,752,662,757,
820,754,726,707,052,429,281,649,566,891,133,629,522,451,709,108,116,893,225,
921,164,151,983,462,497,079,953,984,042,279,159,245,535,891,080,148,215,704,
949,416,689,416,463,872,883,993,747,253,977,919,559,967,252,650,819,782,185,
472,416,585,981,770,289,375,942,149,992,572,433,927,937,670,870,423,154,119,
372,555,352,137,790,514,570,357,847,967,358,410,201,761,487,222,664,921,267,
062,625,989,751,359,778,599,916,652,825,091,867,417,806,480,109,856,843,739,
776,752,163,045,256,785,323,270,597,520,475,886,702,624,434,313,713,424,807,
725,268,524,267,523,385,989,365,630,441,841,692,149,021,474,663,669,039,977,
647,133,150,306,094,906,882,159,708,109,291,820,267,395,778,913,826,697,092,
970,145,385,926,416,185,723,274,049,145,353,507,741,704,655,655,128,937,957,
855,058,473,590,771,595,673,895,419,847,209,962,954,845,840,890,180,893,476,
653,674,900,270,212,758,762,495,701,330,986,329,581,420,007,093,853,269,012,
618,322,618,818,590,991,088,597,808,685,622,276,509,339,884,830,577,217,598,
931,943,819,710,084,376,670,619,538,207,191,688,544,172,853,958,172,023,980,
613,516,773,994,829,669,969,346,996,590,564,682,654,428,698,558,762,657,804,
056,433,565,082,015,458,691,754,875,049,720,534,263,751,940,469,535,997,764,
492,422,837,233,437,296,459,209,612,025,717,274,047,145,636,695,439,155,578,
159,720,788,931,515,277,294,073,142,592,826,265,673,147,171,923,203,775,117,
199,383,102,611,375,751,964,892,853,470,400,207,217,757,353,210,064,188,406,
072,274,092,547,896,282,204,123,289,624,267,520,649,256,198,134,456,154,683,
325,091,459,336,174,903,238,618,694,562,499,703,499,119,247,713,920,056,095,
744,162,246,157,645,386,233,098,859,309,711,490,309,124,774,721,108,410,156,
932,819,615,175,431,024,669,648,522,384,338,091,404,673,824,829,100,197,935,
248,786,702,799,223,204,676,178,742,210,500,361,569,330,643,372,493,297,862,
233,940,952,230,290,649,956,643,638,798,448,393,206,552,820,712,138,387,918,
659,679,712,107,797,012,746,344,793,747,740,512,708,976,742,413,493,140,505,
600,608,606,974,073,450,907,877,620,076,162,135,666,768,812,382,285,789,477,
202,024,514,801,595,723,771,454,178,966,237,180,031,437,212,936,471,255,847,
761,954,874,416,261,307,593,734,845,509,548,730,489,432,311,804,637,865,886,
808,043,560,810,088,108,559,821,207,358,305,432,505,168,462,343,592,079,203,
310,098,469,277,313,709,372,303,658,216,535,616,714,358,398,715,988,149,701,
955,275,727,223,927,068,297,886,675,488,400,673,848,939,190,605,187,103,719,
112,527,586,539,671,229,097,303,995,802,465,743,792,935,604,170,004,196,577,
809,039,115,760,468,558,272,719,521,295,603,141,139,186,992,081,470,126,122,
012,290,529,601,558,612,336,910,208,496,550,428,895,040,486,958,200,666,138,
550,020,314,148,090,978,681,520,705,421,999,478,589,220,813,658,405,733,817,
929,275,414,053,507,478,092,394,098,572,405,399,595,113,803,758,722,513,429,
994,073,199,903,112,842,526,383,459,802,168,370,826,370,067,214,499,666,912,
855,089,741,966,493,957,728,871,622,452,356,738,065,307,360,830,807,159,832,
028,569,991,835,061,412,798,248,443,711,238,086,441,080,591,186,064,321,692,
472,670,655,070,404,133,198,282,862,001,243,450,742,428,230,492,470,998,239,
973,312,210,581,882,024,553,529,497,086,089,968,497,479,605,437,815,782,682,
461,456,131,795,085,448,007,713,610,881,442,546,827,205,929,446,191,223,919,
851,830,967,306,275,461,390,382,617,450,580,021,527,330,635,955,132,442,934,
544,739,527,889,953,052,818,762,247,288,440,877,590,301,565,293,522,547,137,
977,966,965,039,224,514,988,566,164,873,043,772,877,134,982,699,309,431,852,
589,703,616,797,441,727,112,230,648,139,749,884,924,813,602,385,352,370,791,
952,569,031,120,665,668,645,274,657,153,174,613,708,250,105,528,531,993,919,
802,720,611,790,501,914,321,164,204,384,590,765,287,829,898,499,366,650,401,
363,215,226,165,445,122,620,856,150,500,913,703,907,371,902,840,429,593,730,
739,514,672,326,747,817,786,099,140,881,993,507,995,339,868,748,145,005,018,
579,092,899,588,023,872,631,726,999,766,088,958,591,659,490,152,751,056,545,
963,444,302,070,477,258,198,965,688,047,733,401,768,989,156,647,423,888,297,
436,288,193,529,525,730,743,697,353,287,317,153,331,935,856,549,232,090,115,
356,594,316,147,949,579,748,332,312,386,575,820,212,882,024,748,472,985,955,
606,282,233,086,062,075,142,409,236,752,312,873,327,021,135,825,807,115,155,
724,877,770,059,731,634,312,356,578,295,898,429,374,907,695,705,134,920,456,
054,968,992,139,301,920,452,775,909,520,136,971,251,839,598,535,828,317,174,
814,179,473,219,541,944,015,928,873,950,539,469,253,699,930,099,152,182,728,
251,212,775,118,502,983,153,621,700,439,670,658,102,562,210,741,865,693,026,
671,278,173,923,840,699,481,239,495,071,170,306,644,818,217,417,255,894,171,
456,163,592,219,454,240,357,996,638,776,746,452,400,659,391,580,469,056,679,
379,461,017,510,961,323,580,185,075,390,102,036,544,046,366,629,672,137,874,
939,490,674,821,703,607,758,274,575,733,660,855,102,300,984,515,330,980,598,
679,195,868,054,741,692,709,332,476,561,164,336,592,267,166,888,874,190,460,
292,427,670,599,125,774,897,830,377,283,550,513,158,151,888,934,355,822,047,
544,555,477,739,090,396,376,980,786,153,943,794,860,230,160,253,151,854,740,
646,013,545,300,825,750,321,382,448,899,742,742,720,290,277,850,469,652,672,
181,826,167,073,194,139,682,361,929,573,906,383,790,237,322,832,967,889,304,
463,696,101,507,215,921,589,243,073,082,048,032,570,870,789,233,426,513,220,
361,222,451,593,621,003,646,545,737,750,582,485,757,928,374,715,040,505,933,
096,738,782,810,425,187,432,087,433,438,571,953,518,048,192,970,929,060,092,
447,569,808,962,044,432,389,810,137,634,182,506,061,849,604,876,023,860,354,
846,995,824,166,259,192,728,535,900,658,988,213,109,230,847,297,654,006,187,
607,717,262,798,139,938,048,406,331,892,356,349,339,356,770,334,123,734,616,
640,065,836,720,822,876,610,538,548,904,389,845,997,868,827,033,798,082,422,
788,087,405,338,446,341,426,676,600,150,012,623,165,028,049,322,369,568,534,
815,688,145,504,585,077,626,059,178,131,116,300,675,372,674,158,667,546,453,
953,766,980,085,228,486,761,904,123,552,562,703,299,429,147,762,051,363,189,
955,742,891,683,028,829,807,789,650,739,742,802,087,284,372,040,268,783,452,
556,661,718,566,413,081,692,991,989,456,394,225,375,215,050,080,984,569,549,
568,790,935,265,524,314,038,863,594,294,034,560,956,301,161,410,167,740,185,
823,780,287,786,633,781,731,932,733,651,382,624,899,689,992,760,270,817,026,
249,015,151,218,923,882,482,348,763,281,513,553,246,150,527,213,451,624,396,
627,078,488,871,301,339,335,336,652,461,638,203,857,849,715,291,504,993,342,
112,693,358,249,329,946,059,723,485,661,072,262,223,188,892,123,585,866,318,
018,709,037,183,865,252,474,063,290,512,562,827,769,359,015,290,636,607,261,
741,419,339,733,678,314,812,927,466,452,908,802,534,164,779,913,985,027,998,
366,636,076,100,117,930,064,879,311,265,129,556,041,836,326,445,449,159,521,
398,515,181,250,731,290,985,348,355,519,384,509,383,320,004,004,594,216,164,
335,550,359,466,486,056,502,981,160,681,254,572,505,798,837,943,239,309,713,
236,675,906,969,634,185,559,444,097,757,356,256,912,395,667,727,392,425,870,
460,487,864,093,288,842,549,121,842,250,974,218,038,646,902,486,424,232,262,
093,003,427,434,854,417,594,578,027,681,773,605,081,434,360,298,076,976,086,
756,385,517,357,712,443,067,940,035,800,897,736,604,528,013,000,251,519,139,
983,602,734,352,456,459,082,295,695,248,564,035,081,666,663,104,355,278,456,
450,820,904,151,325,059,083,216,419,735,186,162,516,270,325,353,321,319,594,
332,566,715,589,926,709,172,849,236,815,990,091,071,926,341,097,184,684,181,
236,640,446,453,875,017,411,692,212,851,310,527,906,247,147,773,054,951,794,
718,912,863,262,788,963,101,374,130,198,359,079,201,187,188,271,520,157,622,
264,128,082,840,828,702,973,908,943,769,874,907,045,438,054,567,114,334,398,
235,961,001,444,802,991,079,583,303,200,971,274,308,406,960,162,244,635,360,
431,247,094,482,474,262,608,268,869,065,616,108,823,984,243,875,193,115,120,
849,936,553,282,248,295,317,741,653,196,838,098,788,725,586,679,733,135,216,
158,135,580,404,121,202,546,149,462,496,454,570,280,157,856,503,208,589,396,
844,970,089,368,316,762,009,982,826,649,696,756,107,263,303,675,525,267,872,
982,866,428,080,500,232,197,824,831,658,515,481,987,827,662,151,619,151,890,
336,009,996,736,982,239,142,498,077,807,000,234,698,893,507,276,138,706,142,
424,355,091,703,149,557,806,584,274,645,956,350,069,405,577,874,586,183,658,
410,577,593,893,843,960,191,997,378,994,199,073,660,016,551,308,551,255,643,
079,926,337,110,382,856,952,675,958,665,981,482,166,175,139,676,071,608,269,
280,626,273,839,697,149,147,200,050,498,440,960,686,785,352,978,027,952,098,
719,504,818,224,419,237,676,032,844,769,661,324,506,112,210,704,424,276,687,
182,700,551,899,855,522,276,441,725,924,249,294,214,503,994,162,749,990,155,
001,758,605,272,206,384,547,374,622,938,813,289,972,516,085,424,488,628,072,
477,878,607,347,034,882,828,315,621,900,980,697,119,805,754,792,954,945,916,
893,234,594,019,321,451,930,196,279,182,427,646,009,700,410,797,149,099,705,
111,791,428,713,911,362,013,353,923,816,311,926,696,635,495,110,202,334,252,
232,959,609,979,888,076,225,829,209,500,874,941,877,673,087,709,954,877,298,
463,043,001,541,653,770,170,000,123,528,264,744,889,803,337,587,813,126,620,
952,658,394,940,209,592,378,193,680,917,477,833,168,027,685,457,272,392,231,
670,942,811,862,245,007,528,509,184,631,955,738,668,112,475,237,189,237,586,
931,137,653,035,539,842,610,173,701,705,752,962,352,452,644,974,398,460,866,
307,474,023,975,000,441,127,859,388,282,851,924,418,643,834,633,701,957,677,
782,906,138,895,087,383,506,546,547,992,013,331,701,647,614,401,689,563,306,
707,809,512,584,840,720,192,047,691,100,079,440,623,101,828,096,525,226,161,
315,640,939,035,373,602,734,898,095,908,558,154,021,230,493,946,505,777,519,
724,239,146,298,158,658,499,913,930,680,092,710,515,337,455,992,650,270,786,
351,745,728,610,253,921,866,404,296,403,164,018,925,391,112,148,858,242,708,
623,793,443,137,361,092,105,867,043,978,659,384,191,701,764,709,803,045,039,
042,156,118,092,005,833,643,277,667,943,424,420,985,068,161,429,277,417,181,
786,255,268,933,576,578,889,371,810,221,652,881,926,026,070,297,199,351,751,
541,260,374,625,276,565,443,926,239,833,985,464,912,389,578,752,824,048,357,
943,419,699,056,094,782,674,150,670,209,500,339,633,875,967,843,355,653,195,
922,511,681,432,191,559,982,199,592,112,073,628,858,896,942,239,415,716,071,
884,370,046,477,102,803,385,112,608,956,656,026,186,574,424,112,941,574,580,
152,572,746,274,172,204,824,253,331,473,811,642,052,215,894,436,423,948,248,
238,771,094,647,510,069,292,732,256,841,356,348,867,011,166,836,481,945,673,
968,924,900,802,788,320,428,422,677,131,888,592,124,678,105,129,069,750,435,
547,882,473,376,293,426,332,616,691,092,451,749,556,373,646,828,175,423,110,
326,966,655,888,999,618,454,443,026,852,689,602,634,259,363,081,308,717,580,
121,705,306,800,063,931,436,875,890,998,405,280,526,872,349,090,884,741,495,
503,920,864,977,913,566,209,569,311,984,653,609,051,111,359,334,467,959,113,
902,766,320,406,274,226,376,904,701,432,211,370,536,119,928,361,311,547,127,
726,764,182,063,859,227,642,241,334,931,990,380,306,932,459,334,479,508,140,
417,503,971,142,747,653,177,367,615,879,087,736,901,212,388,422,579,156,135,
282,817,704,225,599,399,324,308,751,322,992,412,074,852,050,808,212,118,338,
856,932,042,991,110,411,606,214,973,303,680,771,309,453,159,297,299,542,519,
527,743,870,583,499,991,019,896,908,699,634,791,835,641,331,160,964,506,014,
187,851,475,251,837,507,442,437,781,062,700,990,229,373,537,049,339,147,335,
602,506,140,086,916,625,141,930,428,591,416,416,212,054,632,031,032,884,376,
016,911,985,373,799,279,006,765,202,177,105,208,090,655,319,353,475,413,951,
342,750,281,788,322,257,856,727,131,219,962,978,878,462,492,853,328,436,928,
026,968,525,843,033,510,076,766,483,417,848,128,375,934,799,247,618,621,560,
661,566,448,750,258,730,109,235,738,002,064,373,528,228,491,040,257,837,228,
860,026,028,704,701,792,917,855,748,287,030,496,835,655,853,131,564,129,790,
493,970,936,050,349,525,436,464,491,802,930,980,491,934,903,394,198,270,558,
326,193,358,734,516,708,370,684,830,116,336,299,918,638,360,058,357,354,016,
960,329,830,175,561,144,993,800,630,356,707,645,108,572,160,571,911,713,957,
844,814,398,550,618,012,761,541,571,383,028,965,554,598,735,042,441,033,843,
248,532,635,850,069,480,079,579,473,307,961,880,794,447,241,668,668,971,043,
883,572,154,682,980,574,603,201,120,770,170,402,205,315,887,002,918,524,218,
893,715,149,999,323,671,595,645,567,424,344,364,301,494,526,746,479,253,472,
609,167,190,123,796,046,671,362,199,118,477,821,875,053,213,211,004,572,340,
719,918,051,627,490,268,748,789,443,808,292,742,727,488,916,097,927,421,335,
312,520,611,295,399,961,759,120,364,784,158,184,506,155,386,515,859,992,221,
207,039,036,655,923,952,460,330,809,119,585,060,548,299,503,868,193,863,998,
410,221,410,945,993,779,405,697,446,600,280,371,585,525,312,754,910,556,408,
779,279,196,677,215,955,987,462,657,300,171,311,224,734,996,597,043,081,179,
072,318,990,096,033,249,932,709,453,574,420,258,286,507,129,694,705,390,801,
936,650,062,575,568,317,392,967,730,828,951,468,096,356,165,839,666,066,198,
318,268,240,942,432,731,087,121,348,174,576,765,502,924,568,607,728,041,131,
671,897,728,570,320,751,633,041,073,020,816,794,078,872,275,843,013,328,437,
929,689,796,214,317,910,249,157,232,181,359,846,720,972,572,897,012,203,525,
968,276,242,527,498,367,531,502,885,459,170,651,981,903,572,359,674,513,588,
370,711,270,843,603,828,351,249,669,994,951,317,705,154,033,761,642,015,332,
746,826,063,972,110,543,260,902,334,561,889,566,335,214,344,787,868,921,123,
249,118,375,415,561,303,279,148,637,169,994,767,738,379,266,751,698,181,038,
499,261,472,705,672,486,647,857,259,570,722,185,946,392,225,779,171,298,329,
723,522,218,816,364,576,460,607,987,837,675,676,801,585,164,885,592,217,544,
277,370,650,048,106,033,276,426,732,840,459,706,222,773,674,578,224,568,891,
922,251,033,107,795,876,405,613,252,134,986,052,494,302,079,442,006,323,944,
251,192,102,362,001,001,793,016,205,727,982,249,668,525,946,827,046,364,204,
396,221,024,021,856,492,473,794,746,282,301,328,992,539,454,923,895,349,709,
105,278,513,080,737,924,183,548,397,459,472,399,306,359,106,824,497,906,279,
207,901,229,717,432,037,307,832,708,354,844,677,676,439,137,668,802,910,936,
272,203,964,162,555,090,182,830,314,554,576,180,407,105,742,782,623,505,242,
877,366,154,726,517,173,271,018,597,741,747,624,589,481,347,798,926,388,469,
744,167,701,142,978,327,166,301,680,553,233,519,413,214,622,443,603,088,725,
584,038,139,999,309,433,586,471,077,393,178,023,186,504,229,804,997,299,050,
264,800,846,714,646,366,713,078,936,137,975,647,633,870,731,749,036,413,249,
817,624,617,267,833,267,994,208,342,397,267,528,019,273,885,246,979,525,946,
436,800,032,761,380,120,976,964,688,550,848,909,412,470,267,155,901,009,352,
105,182,936,747,769,981,181,754,860,232,654,440,856,744,404,022,994,549,830,
339,704,867,540,038,929,756,613,995,769,335,874,778,392,261,575,338,269,961,
914,149,960,978,031,289,014,630,507,380,462,895,776,367,276,043,550,926,019,
371,420,927,502,898,129,624,604,015,554,365,047,396,736,896,389,135,329,151,
664,703,869,639,492,494,159,846,536,086,386,801,513,387,280,802,752,273,669,
358,653,338,069,080,201,243,451,788,135,712,520,624,201,233,326,473,138,391,
781,084,451,740,705,058,971,796,697,587,139,227,159,918,431,772,183,244,817,
441,400,151,885,256,362,590,184,324,005,445,593,001,656,708,530,157,350,801,
631,288,956,491,123,617,595,990,917,917,050,844,965,143,185,531,700,118,763,
280,267,562,411,020,334,769,115,756,832,810,692,935,970,739,795,208,795,375,
638,099,380,223,958,389,315,841,509,335,640,019,546,148,564,629,190,758,388,
124,191,709,110,875,134,410,419,838,286,400,070,864,803,297,541,736,219,107,
433,785,520,404,907,407,352,834,915,417,252,548,160,707,110,542,562,192,761,
043,663,993,820,982,303,486,112,573,750,470,353,943,315,110,543,201,393,430,
541,774,892,261,291,737,789,379,644,267,867,932,924,930,891,445,817,457,857,
394,600,598,104,438,395,151,283,377,076,963,803,439,786,395,131,935,009,092,
654,479,786,502,723,994,470,368,475,373,439,256,797,302,965,065,880,592,213,
604,356,729,231,340,123,027,036,526,793,685,747,923,753,737,267,720,141,657,
125,437,066,884,288,295,643,034,725,521,424,773,658,211,535,696,912,711,496,
799,581,792,200,588,893,029,099,486,334,350,941,361,616,020,655,915,075,544,
981,514,786,815,435,784,509,780,781,163,479,945,462,124,941,218,148,594,086,
544,450,953,487,760,138,745,626,564,564,894,472,136,037,753,040,863,251,972,
963,981,331,486,318,643,488,509,377,975,539,223,145,708,741,497,819,497,348,
969,505,582,347,915,586,074,845,083,779,953,723,302,321,600,752,085,041,268,
749,990,603,356,223,930,908,200,072,972,685,121,972,512,230,071,184,712,275,
287,201,142,550,862,252,137,303,964,523,323,958,131,033,205,157,555,672,267,
603,530,409,924,510,220,213,599,853,275,356,192,668,738,735,605,660,084,715,
363,983,423,700,165,628,762,641,657,771,854,845,113,049,896,063,102,846,053,
444,537,663,746,085,708,061,257,394,457,223,475,156,400,421,520,458,065,150,
393,332,079,625,820,568,641,866,113,907,199,793,387,766,517,397,326,643,749,
667,562,032,554,342,966,524,167,484,823,738,250,128,787,222,533,212,478,940,
743,254,171,196,631,463,054,726,665,737,407,679,511,268,086,483,064,870,768,
174,243,203,285,187,284,408,348,076,346,878,160,842,707,832,374,936,655,307,
936,192,190,235,664,667,038,547,992,012,267,219,733,382,173,452,393,510,734,
468,046,202,306,617,545,994,224,671,349,333,056,131,593,278,911,475,531,733,
376,265,997,851,217,641,327,830,528,916,256,426,431,006,696,963,594,817,740,
672,551,146,612,593,737,723,674,075,040,423,230,194,189,405,770,576,114,857,
303,509,850,941,446,518,159,747,771,020,235,242,153,600,124,892,038,522,127,
827,886,483,021,646,757,944,011,118,623,379,973,323,670,980,912,350,133,922,
338,863,295,757,721,807,759,622,657,560,305,661,108,983,713,333,823,405,748,
524,889,409,376,172,093,954,554,442,312,142,742,579,202,139,501,891,396,276,
246,440,165,823,566,043,616,869,201,512,168,112,277,754,804,555,324,202,140,
945,851,943,263,999,357,891,494,474,040,693,880,604,613,013,630,732,059,008,
029,344,656,454,185,487,296,821,568,760,970,597,753,994,620,287,743,522,966,
393,137,965,940,302,460,028,108,957,046,320,940,300,095,090,096,546,146,107,
547,217,584,986,361,232,951,508,683,858,826,297,919,126,737,547,322,479,205,
001,585,702,986,816,021,747,447,108,799,984,130,348,142,752,294,628,430,100,
723,020,060,667,510,214,644,298,183,780,937,630,829,058,336,085,029,157,260,
799,305,199,728,732,414,284,199,631,654,568,947,896,736,808,801,096,600,134,
491,068,857,100,879,481,751,474,511,140,219,099,280,206,485,214,478,156,636,
983,878,757,209,799,067,233,688,343,262,563,169,966,538,262,397,085,288,749,
102,706,260,096,030,543,510,772,027,381,949,638,199,985,803,629,433,993,238,
234,359,306,810,383,408,855,765,792,953,337,189,933,746,236,052,386,523,438,
354,344,495,253,401,263,845,675,288,413,293,701,923,020,939,335,087,997,839,
355,643,759,977,140,697,033,302,299,769,815,863,458,005,572,447,866,740,100,
376,459,218,706,520,739,497,823,660,129,980,959,852,020,022,496,206,087,116,
804,644,090,007,379,931,640,392,203,953,083,887,383,667,019,316,647,217,545,
127,038,155,267,684,319,929,096,606,855,168,138,927,723,553,142,866,494,031,
360,323,955,101,123,009,724,199,134,237,887,528,770,230,928,821,792,248,095,
110,024,805,787,565,556,971,415,924,601,429,111,837,111,759,069,638,041,980,
122,474,035,879,635,086,149,627,175,745,830,316,063,609,903,761,677,314,807,
934,742,881,006,529,085,513,444,217,938,367,821,279,556,553,626,328,359,082,
324,805,419,385,522,303,388,668,679,821,872,414,602,773,189,599,496,142,359,
309,624,671,540,947,396,955,759,823,710,353,788,813,649,620,077,321,170,934,
513,139,746,805,003,101,960,652,364,657,812,310,980,795,205,563,838,795,096,
331,547,644,679,213,232,603,966,166,181,268,323,186,461,127,285,893,923,349,
554,390,081,846,403,380,787,620,564,267,807,149,759,604,919,843,516,873,690,
753,431,498,503,946,313,848,378,107,489,563,797,599,916,022,534,109,744,930,
913,755,430,339,381,801,412,447,935,588,578,125,611,468,784,275,884,185,278,
345,087,939,366,363,334,311,267,416,891,319,029,944,530,992,531,551,322,036,
375,418,306,757,573,439,586,810,443,186,796,255,667,239,799,190,640,050,619,
332,644,446,868,623,989,826,674,320,897,807,249,187,310,411,467,685,095,390,
224,814,968,024,802,775,384,691,549,913,057,354,480,017,333,920,135,991,596,
996,212,641,735,504,604,419,436,626,199,962,979,416,212,877,911,282,911,067,
682,224,464,097,987,982,001,366,982,067,039,835,028,872,754,065,075,656,242,
746,449,718,129,415,742,586,305,374,405,448,362,580,037,052,405,766,039,521,
603,382,730,717,449,486,624,913,816,224,734,442,229,626,824,353,310,801,385,
525,049,285,485,716,500,059,185,697,490,050,524,467,103,520,081,597,392,955,
571,737,271,573,504,431,621,000,591,430,776,721,993,433,014,312,115,072,813,
560,239,629,801,258,260,847,374,015,641,299,749,681,646,947,602,464,899,256,
965,849,883,634,834,900,729,617,606,402,022,495,029,075,972,831,859,180,753,
667,745,418,340,117,590,992,802,182,562,196,488,058,033,654,520,124,238,797,
338,729,840,975,356,864,892,157,159,005,041,409,600,971,105,924,120,864,049,
053,055,104,441,217,521,012,474,225,432,174,870,306,531,354,423,030,063,160,
547,767,484,229,792,826,133,870,116,925,823,270,240,641,418,628,117,199,562,
158,832,618,513,103,621,205,151,988,406,361,516,229,732,569,101,117,715,758,
265,310,395,414,620,690,495,188,155,490,140,862,659,693,625,272,024,356,544,
283,263,350,658,287,477,303,132,303,940,253,944,318,034,221,820,682,541,264,
104,374,623,489,086,175,383,448,220,276,644,650,950,340,999,675,880,219,230,
273,328,338,623,944,790,460,846,873,786,170,865,059,069,081,493,929,208,469,
505,996,485,779,735,361,256,451,236,880,465,960,016,646,215,661,449,929,402,
867,390,533,909,541,695,346,443,939,031,070,074,305,652,359,210,066,297,133,
184,785,973,843,170,959,204,192,538,737,772,438,483,817,967,027,831,047,526,
812,103,975,795,479,564,997,958,094,951,315,496,629,709,733,080,919,603,916,
610,256,086,550,579,459,600,888,665,031,721,916,763,227,818,577,318,507,136,
562,181,102,630,438,731,893,291,591,288,338,201,270,339,925,351,692,779,286,
884,685,755,401,280,859,228,592,413,311,458,935,503,486,664,577,234,208,649,
304,248,891,477,616,952,213,224,011,916,832,448,041,366,416,246,577,043,853,
901,613,170,239,364,195,214,777,477,040,974,150,423,420,650,118,705,298,371,
587,989,603,202,159,230,996,822,469,043,789,889,941,296,526,485,014,343,263,
261,207,874,482,613,640,195,498,083,145,558,094,289,159,476,467,957,457,296,
498,197,998,784,999,357,585,243,490,268,742,219,445,328,432,163,665,217,405,
602,563,765,858,915,518,537,241,684,399,729,234,690,564,030,929,249,247,079,
344,774,084,377,563,754,664,429,144,420,412,415,254,619,372,672,911,639,932,
406,683,562,125,768,093,407,703,906,944,467,683,525,920,953,275,429,807,695,
009,997,540,003,309,258,836,546,290,037,191,863,400,135,084,118,611,991,369,
648,056,206,587,621,271,145,278,395,772,677,120,617,613,919,644,746,339,154,
812,366,826,390,143,757,220,246,257,505,614,547,169,548,007,590,887,305,445,
828,402,353,413,880,940,830,112,379,226,010,330,081,784,168,201,190,178,165,
827,286,007,791,206,016,987,218,413,554,299,919,214,254,433,070,968,244,050,
684,929,810,933,102,343,078,333,741,550,910,290,512,264,525,614,077,141,688,
269,092,965,112,073,896,556,110,859,024,789,697,896,086,388,840,704,679,808,
297,516,123,154,500,294,880,166,239,240,921,866,377,003,698,669,789,460,163,
218,124,473,523,780,738,957,120,678,140,248,056,004,195,425,892,392,793,760,
926,876,495,829,092,909,109,372,606,962,884,572,306,107,316,402,168,904,455,
302,738,057,148,512,016,399,646,706,621,170,207,841,703,603,697,510,117,190,
792,367,790,286,173,617,645,877,878,044,674,333,229,972,954,117,339,620,209,
124,684,629,426,590,701,170,529,995,792,969,934,588,771,450,585,831,607,349,
242,315,186,476,693,032,230,303,206,145,276,146,332,303,894,110,149,875,926,
728,018,732,973,636,218,501,343,204,065,859,897,505,798,325,239,886,162,444,
801,630,531,056,760,863,395,611,927,348,087,525,580,394,589,695,552,761,589,
554,841,759,931,435,746,861,232,996,341,792,966,785,717,246,497,194,237,535,
439,397,238,450,742,595,761,172,517,163,428,512,323,965,193,152,171,718,535,
110,723,009,741,786,911,497,883,766,952,281,080,356,244,433,513,388,227,989,
101,610,293,606,043,095,629,567,935,232,145,371,057,866,757,802,096,530,908,
711,993,550,963,313,044,380,322,337,626,808,978,514,698,173,383,248,127,120,
917,096,835,308,593,922,675,123,498,393,094,831,423,782,283,029,811,300,444,
710,681,028,542,833,238,080,681,943,152,746,648,553,136,921,488,878,000,443,
138,360,116,426,767,347,436,677,402,405,021,294,818,590,798,544,723,699,919,
185,034,872,507,154,813,178,474,649,160,622,479,850,178,483,856,817,161,576,
482,968,596,566,270,520,050,648,078,885,309,208,719,659,952,199,732,762,791,
619,448,951,866,110,887,112,091,171,500,978,260,349,265,299,260,655,776,010,
081,910,296,543,548,768,506,493,841,012,940,137,051,075,398,567,729,028,320,
895,008,143,551,246,960,875,604,837,626,336,310,188,908,247,603,191,540,931,
414,589,494,947,158,329,055,041,981,190,203,333,124,391,729,686,817,536,787,
302,370,430,684,733,819,944,349,735,965,536,746,250,456,903,856,593,234,188,
514,510,116,751,629,090,583,662,485,617,091,150,865,559,988,337,408,130,711,
306,296,131,842,433,892,536,645,598,740,018,483,348,903,572,005,982,619,423,
591,455,108,042,005,186,142,280,213,704,240,820,667,054,950,252,620,302,390,
913,451,574,864,981,949,168,568,721,320,918,068,248,340,948,261,583,214,330,
519,855,628,207,195,644,762,511,661,075,607,672,719,633,495,524,869,791,066,
154,523,847,556,584,518,692,414,212,705,980,122,848,643,420,581,591,421,979,
708,772,751,113,961,982,108,851,284,946,401,418,616,034,610,984,038,783,024,
364,282,867,745,551,969,168,670,519,879,656,728,565,226,498,062,791,499,224,
326,207,557,143,235,545,627,174,667,907,295,019,705,340,194,050,560,234,549,
038,264,777,030,876,607,509,728,387,851,294,568,902,275,385,637,537,651,457,
432,519,208,468,352,312,216,847,755,156,991,294,222,633,830,742,139,283,389,
618,191,137,163,187,217,046,034,386,427,108,042,676,411,575,806,113,977,809,
829,826,215,676,799,175,164,599,337,889,664,845,000,257,249,588,383,535,873,
493,970,565,579,326,757,816,102,125,318,954,758,917,885,944,403,822,943,822,
365,534,431,636,534,053,777,876,285,392,379,585,372,941,571,406,693,209,194,
209,219,437,450,036,475,504,078,909,717,426,266,806,515,213,777,853,004,868,
057,394,211,301,652,744,017,927,357,455,286,370,310,518,604,751,779,919,180,
411,737,575,027,426,496,190,412,518,983,415,399,395,255,259,965,565,790,677,
755,875,736,909,667,738,550,666,295,400,448,680,122,656,687,498,507,848,018,
491,622,181,257,182,542,054,193,803,878,457,736,864,781,408,804,536,694,214,
210,521,680,345,979,268,158,550,028,608,065,961,547,328,031,789,592,256,191,
849,217,019,972,079,574,129,039,451,956,736,197,292,620,754,817,756,029,445,
839,207,791,229,035,321,937,007,800,367,044,108,442,696,806,724,355,172,286,
770,562,215,055,424,171,540,146,777,694,670,994,592,053,201,070,325,497,800,
643,826,750,391,130,501,961,913,343,248,299,513,508,186,036,405,745,672,985,
264,757,891,182,014,566,850,751,319,973,060,672,772,087,784,369,430,436,670,
686,311,533,295,719,103,387,858,130,629,796,443,662,992,240,366,579,977,986,
334,577,661,086,228,287,166,883,736,918,025,281,262,736,981,461,590,659,125,
312,642,813,100,898,162,602,026,950,963,941,908,743,531,570,394,371,280,622,
074,970,841,355,278,189,985,669,200,592,173,317,611,105,135,300,991,031,834,
972,289,304,176,722,559,739,434,464,875,485,422,548,313,473,383,467,500,503,
299,655,537,775,554,398,817,127,220,103,467,054,935,820,603,849,907,334,026,
662,332,959,055,458,212,038,709,037,228,514,537,249,892,451,101,600,140,017,
669,479,625,336,895,845,200,392,575,726,243,971,772,375,731,532,968,215,036,
360,792,364,325,517,776,888,795,910,682,098,613,192,727,902,956,677,919,778,
649,615,020,206,559,166,688,944,809,970,463,482,726,280,183,425,651,616,131,
945,413,820,211,508,165,494,568,056,639,809,325,673,143,181,478,778,473,897,
779,694,306,516,831,250,261,806,823,593,898,168,038,376,860,130,268,725,267,
061,635,330,968,492,008,921,080,764,228,457,771,034,453,878,797,924,834,499,
751,105,513,255,052,571,582,429,809,184,685,973,387,618,835,797,778,968,373,
288,637,258,942,538,514,109,467,733,336,888,705,146,556,205,894,267,239,085,
116,740,654,161,424,619,248,284,614,906,087,163,625,915,687,374,327,297,824,
563,859,834,929,855,815,206,753,303,333,640,049,639,179,321,821,857,282,752,
426,354,294,440,275,553,809,526,704,115,380,393,627,592,526,886,075,963,943,
481,471,962,201,331,735,753,854,780,405,540,369,541,968,669,527,401,901,269,
080,498,448,932,081,426,926,089,931,567,038,848,076,096,010,629,229,061,954,
790,653,129,639,129,696,381,572,292,610,929,734,583,602,884,379,722,434,907,
642,338,105,108,536,582,154,782,626,793,402,615,255,785,388,836,833,177,559,
757,843,904,078,800,280,692,280,411,364,287,439,083,869,837,666,086,851,658,
604,270,349,666,671,159,801,227,389,215,160,534,441,110,595,928,015,667,878,
808,958,609,907,623,374,558,364,934,721,252,682,421,597,542,881,773,274,818,
013,468,965,763,962,479,045,546,835,830,308,707,190,800,908,931,591,966,745,
646,342,681,836,904,195,801,102,372,382,456,019,919,632,213,906,975,160,509,
942,555,110,741,954,386,186,291,647,068,251,138,539,815,364,044,108,775,234,
413,919,016,997,470,354,251,638,070,859,031,681,576,629,193,491,378,594,965,
133,297,549,387,543,068,467,876,791,510,247,140,105,555,981,735,565,350,678,
740,864,262,116,605,434,171,843,459,995,931,917,565,498,637,327,307,196,551,
209,411,948,762,368,358,660,272,718,395,876,353,552,854,411,017,205,202,384,
626,038,428,888,975,745,144,956,138,854,066,742,018,146,180,186,090,654,081,
687,650,899,779,757,902,756,293,769,655,514,925,679,017,001,903,839,037,011,
813,432,002,582,093,507,823,170,765,663,731,288,710,267,728,719,271,039,845,
214,291,201,140,544,960,118,434,467,877,837,254,481,811,482,854,430,873,559,
698,965,869,337,143,086,232,408,591,213,945,037,326,112,534,158,128,587,698,
423,012,864,776,215,352,312,231,862,676,652,133,081,624,276,441,825,952,338,
243,272,298,640,852,424,225,376,439,872,129,937,145,150,412,482,768,099,044,
932,568,957,910,734,447,415,447,371,810,845,048,270,198,775,506,021,557,699,
658,410,817,920,610,002,888,088,022,081,050,598,234,652,349,129,627,555,207,
803,741,643,641,991,028,825,273,732,694,735,618,168,490,077,536,191,941,344,
829,089,804,145,011,498,912,175,150,594,534,435,960,244,282,001,542,707,184,
629,389,808,596,009,028,660,061,718,358,213,952,057,470,363,514,068,805,261,
363,850,669,488,572,375,966,273,971,911,037,341,919,001,653,923,579,401,920,
609,627,126,565,245,754,127,108,890,978,125,162,338,345,487,700,982,299,491,
462,993,024,437,069,963,839,498,942,163,881,419,021,867,690,066,909,635,385,
327,950,328,481,564,704,624,532,664,315,452,676,260,030,735,352,342,341,859,
691,697,361,728,200,099,682,394,517,907,926,734,634,114,127,503,363,965,084,
288,524,963,055,830,673,036,289,373,570,257,540,772,468,424,726,063,821,491,
989,914,135,676,996,078,290,080,431,539,441,840,163,621,891,607,470,791,737,
291,637,414,884,030,037,041,517,250,796,973,887,461,292,739,786,703,586,785,
626,542,490,373,965,572,082,282,478,224,022,243,837,154,264,286,788,313,730,
072,071,429,263,610,277,671,914,086,107,699,056,070,318,247,662,081,209,413,
674,272,558,797,125,528,601,090,671,392,190,434,090,433,315,777,230,218,150,
562,628,461,155,764,288,854,406,931,607,668,193,083,941,109,424,594,058,421,
871,798,948,174,099,771,110,688,932,155,472,602,943,759,112,014,265,575,975,
664,022,049,917,681,128,532,412,847,874,406,008,910,092,575,644,808,063,465,
953,839,401,732,859,385,729,466,330,803,905,584,618,850,422,913,031,038,049,
395,051,119,960,524,116,344,769,865,762,084,209,097,182,631,712,088,983,445,
868,499,733,105,190,475,582,667,276,392,893,144,271,449,693,443,002,136,214,
766,567,629,401,475,682,223,455,851,779,708,530,977,129,195,748,780,367,467,
044,105,295,363,166,644,698,953,519,798,121,500,128,765,369,737,940,912,304,
592,005,713,976,214,448,177,760,066,593,388,647,167,355,618,142,699,216,379,
096,386,023,511,934,709,167,592,744,095,390,216,894,333,505,623,923,833,642,
441,939,011,570,744,757,508,657,389,051,604,005,511,066,382,935,330,057,034,
590,074,265,087,286,306,325,226,868,515,877,349,621,750,654,944,485,106,964,
052,875,859,784,208,111,070,286,157,842,255,619,938,957,414,502,003,370,530,
925,188,582,053,920,456,116,281,407,267,143,387,958,889,876,513,699,388,338,
678,971,578,107,569,300,727,246,679,444,867,509,692,487,110,485,227,790,158,
987,520,083,243,754,238,004,089,412,902,135,282,269,705,438,461,430,350,389,
148,644,468,763,539,426,806,553,141,042,938,784,324,310,770,318,469,916,103,
869,794,445,763,611,327,643,189,871,156,754,947,839,849,099,170,420,525,896,
253,800,967,813,597,493,466,394,271,195,005,469,161,428,818,153,827,832,267,
029,263,832,879,121,754,129,196,790,600,499,848,677,357,135,192,186,311,420,
249,194,591,644,376,848,009,865,267,331,942,196,001,739,967,939,400,606,205,
319,945,644,954,538,728,682,316,883,497,889,273,227,806,050,394,652,129,641,
495,724,835,278,661,030,323,928,912,285,748,422,446,679,632,449,779,322,046,
482,889,876,731,086,331,740,872,538,263,630,664,614,090,461,300,089,716,675,
022,303,620,208,366,315,233,121,508,365,277,651,650,816,336,546,305,603,494,
789,581,133,513,991,450,428,933,551,327,657,056,320,958,633,051,513,901,825,
955,031,849,354,513,562,639,981,123,003,146,648,579,615,349,737,393,104,419,
152,925,589,493,754,169,156,918,212,997,508,882,328,588,574,036,063,624,380,
071,717,058,544,143,242,304,645,169,134,788,992,868,671,819,348,095,356,477,
801,722,230,889,336,165,288,442,764,762,989,307,320,859,482,250,387,426,982,
916,379,735,297,096,932,115,510,182,466,033,979,460,692,925,415,689,474,084,
190,362,177,988,434,740,292,766,840,594,302,592,023,658,028,956,044,742,754,
359,503,802,113,349,040,379,658,121,306,802,244,116,789,508,120,396,057,054,
290,396,716,180,632,586,559,295,122,968,013,082,234,140,067,951,462,130,941,
082,700,654,772,832,210,041,102,176,916,096,740,651,001,894,481,724,329,273,
920,761,004,786,759,603,854,738,435,968,927,843,177,347,352,527,010,132,297,
394,472,121,381,942,838,530,117,392,795,780,990,188,901,822,558,635,113,341,
393,920,421,303,641,390,758,085,219,319,864,706,200,475,564,525,333,168,005,
468,600,347,764,506,573,711,745,171,753,984,197,714,453,980,936,756,002,435,
892,452,399,695,602,873,703,328,176,670,092,533,581,221,962,659,948,618,891,
459,308,160,435,112,194,777,401,284,892,419,001,250,302,088,898,874,830,288,
645,454,241,701,416,074,161,084,577,342,398,761,044,033,397,767,877,236,474,
705,766,001,897,556,076,294,184,885,438,186,437,297,413,330,868,078,487,022,
056,950,530,105,543,835,909,654,734,222,600,726,880,248,680,396,383,238,819,
935,675,922,882,037,539,858,661,054,911,417,652,832,346,947,357,818,997,210,
126,108,892,321,437,349,140,011,777,016,133,360,353,419,187,012,701,517,721,
186,409,317,536,863,535,010,564,089,593,475,549,407,600,309,150,394,529,452,
082,990,899,522,444,439,992,463,045,659,550,651,366,260,726,235,527,782,789,
446,028,993,391,617,566,330,920,038,222,218,898,615,197,346,828,718,695,089,
549,002,118,901,793,063,439,331,449,754,951,768,881,978,496,625,881,647,394,
404,572,746,874,263,690,559,933,036,609,466,976,540,040,782,518,505,132,537,
895,097,384,350,913,281,211,795,843,040,986,276,405,855,169,258,280,397,994,
228,983,075,907,706,530,732,543,371,686,198,986,591,757,580,141,773,846,165,
676,807,522,536,109,717,634,032,847,893,884,419,217,079,757,194,898,633,784,
859,069,423,285,747,834,924,902,757,118,825,165,403,240,362,933,224,871,403,
826,045,864,277,660,442,323,158,263,301,484,804,304,410,218,405,190,088,737,
733,175,746,512,127,448,407,918,906,637,221,997,752,019,627,864,593,914,810,
896,860,158,879,409,150,804,116,780,850,868,145,746,984,584,917,707,560,225,
608,911,730,741,851,132,218,236,486,499,000,351,425,791,770,763,900,005,611,
256,547,246,064,720,812,729,276,553,798,904,810,357,597,514,600,958,019,044,
392,500,587,702,901,791,449,769,726,679,139,982,116,936,872,731,384,985,616,
617,573,651,609,768,145,795,111,274,961,259,023,915,839,135,776,892,544,788,
460,081,011,638,702,829,098,526,109,263,458,193,690,854,070,461,012,891,038,
919,897,596,775,311,796,044,984,653,309,956,376,701,980,028,773,859,076,011,
870,921,875,687,972,232,835,483,011,101,592,474,943,686,468,630,934,432,764,
444,368,252,190,324,212,494,977,000,450,118,988,388,447,961,361,420,664,957,
264,054,600,359,478,126,598,351,830,019,206,205,613,647,430,445,058,933,247,
192,812,784,562,804,979,583,562,499,774,682,066,215,058,502,882,909,820,776,
721,305,851,501,778,126,919,879,613,184,767,267,175,561,773,437,332,891,297,
976,061,938,879,636,893,067,418,554,872,898,359,961,309,552,688,172,792,801,
494,494,727,564,661,615,100,887,909,338,100,641,476,391,634,826,255,928,243,
328,103,317,444,107,681,949,067,495,819,475,275,618,532,233,300,990,450,298,
043,599,569,497,544,245,342,522,092,310,823,721,366,233,643,327,863,402,487,
181,338,173,688,390,165,324,001,945,332,516,453,533,352,877,157,681,207,721,
209,522,713,008,491,979,123,819,254,564,001,076,156,350,510,517,323,257,795,
123,812,157,590,489,297,286,199,839,915,376,516,906,050,804,786,117,577,362,
058,452,634,008,665,047,180,310,139,375,090,269,902,881,341,185,215,596,696,
757,414,910,145,106,403,558,238,014,529,827,959,451,777,812,687,135,392,220,
120,543,759,039,719,374,748,618,216,281,551,657,203,374,003,396,027,264,242,
438,793,490,846,119,311,280,257,574,778,139,125,255,165,119,375,350,122,611,
553,157,166,430,538,613,875,336,846,877,750,078,939,028,526,778,921,712,897,
429,169,741,789,253,329,205,468,278,162,066,537,449,519,276,466,674,987,027,
350,386,458,233,644,919,016,442,660,583,367,819,549,566,518,023,390,674,701,
488,069,553,586,945,624,661,131,874,486,713,028,455,668,911,452,847,756,159,
036,843,984,931,322,338,073,819,155,569,933,045,902,102,861,617,837,462,669,
613,026,779,445,684,410,981,061,424,539,323,592,847,969,718,124,126,035,859,
291,139,522,864,021,280,185,911,892,217,764,858,318,236,495,995,328,537,475,
251,053,990,121,084,277,780,841,470,679,953,354,689,334,776,515,898,214,117,
017,612,648,148,959,452,025,386,990,912,715,494,953,443,545,207,546,014,851,
935,732,359,793,358,073,851,278,196,705,615,351,575,281,078,788,911,848,594,
504,406,395,067,290,941,903,728,702,197,754,903,361,008,136,537,492,322,233,
119,154,226,841,852,861,915,524,945,959,946,428,903,035,659,334,509,519,688,
217,447,268,156,012,934,121,962,606,174,529,487,206,015,185,718,192,043,614,
133,136,857,735,936,688,458,321,591,117,816,636,192,736,629,719,760,311,508,
298,573,009,124,589,652,736,020,964,558,932,976,456,315,191,990,876,276,946,
655,533,734,511,693,733,706,653,458,564,844,033,037,640,971,856,753,867,198,
218,832,210,427,004,919,116,314,939,625,692,444,924,100,125,520,678,418,285,
434,268,706,691,021,419,842,148,824,307,586,264,257,972,789,712,403,949,721,
503,461,481,466,360,034,180,002,333,329,612,886,741,405,867,359,297,712,674,
561,548,439,476,744,021,718,957,578,831,781,638,561,925,674,131,412,170,798,
633,530,531,436,432,300,594,397,140,207,385,319,730,171,414,695,515,803,819,
937,259,919,595,718,607,029,390,497,892,171,623,197,938,418,451,613,961,336,
568,246,618,581,600,074,661,978,171,393,451,777,472,111,231,365,313,621,215,
899,964,037,810,406,014,296,449,913,013,187,921,465,252,223,551,136,655,418,
666,548,938,327,795,762,374,578,532,965,215,293,091,302,082,056,931,674,670,
430,732,437,078,309,720,266,889,462,808,326,494,032,085,064,803,046,080,977,
251,689,657,771,271,249,326,934,404,401,356,123,416,168,215,168,331,016,504,
861,057,579,686,872,021,090,847,575,461,396,475,007,229,369,358,272,365,300,
907,153,593,698,740,427,627,438,641,086,442,002,433,565,430,270,036,203,759,
646,869,369,302,726,071,463,230,506,962,850,263,478,424,862,632,428,763,079,
646,108,445,980,744,153,906,459,572,456,686,318,320,131,490,580,085,100,126,
763,353,212,269,622,217,740,984,060,224,406,366,874,532,406,858,913,922,907,
547,903,161,513,201,453,642,565,194,003,204,488,234,994,346,875,756,608,982,
041,940,296,417,046,576,077,544,434,171,970,308,308,347,949,973,103,010,900,
131,135,609,604,983,633,469,358,910,335,476,749,098,418,618,534,945,508,556,
364,055,860,799,994,079,483,182,006,949,167,339,147,948,502,366,917,946,835,
601,987,708,272,081,955,707,437,802,038,471,784,354,806,707,823,755,264,330,
003,645,432,758,687,973,030,347,644,004,667,876,592,822,776,627,834,707,298,
900,729,141,854,682,549,867,977,344,850,364,154,296,049,108,228,219,541,131,
301,501,204,563,132,347,538,109,518,541,885,955,456,467,268,525,341,693,039,
093,388,768,761,134,067,047,575,202,978,410,061,057,953,530,100,672,197,714,
500,066,033,171,164,395,429,231,388,854,372,451,700,542,586,233,739,838,601,
225,429,421,829,357,361,902,673,100,663,422,600,565,263,364,523,751,125,315,
006,766,618,713,829,032,630,337,666,732,211,583,933,993,572,637,439,062,847,
259,346,654,196,914,581,099,929,568,695,316,631,034,804,328,076,347,913,483,
437,238,430,785,586,651,918,179,970,146,214,538,864,383,680,811,040,637,574,
158,231,838,524,798,146,796,449,007,043,486,094,335,313,749,970,622,726,025,
354,949,586,546,943,290,904,777,173,081,719,345,385,641,515,855,624,818,330,
881,160,925,877,636,107,126,629,527,196,154,408,662,426,546,782,158,384,228,
512,154,011,559,718,852,128,388,516,965,258,294,609,202,221,382,523,235,783,
451,196,577,203,601,463,766,115,058,264,343,944,870,354,700,485,771,029,686,
565,542,158,832,724,091,425,970,580,500,413,112,681,429,253,283,363,303,671,
724,649,197,319,225,289,053,949,452,670,269,987,307,786,863,441,426,706,016,
905,224,589,958,451,640,778,611,862,434,300,738,067,888,192,961,572,944,150,
695,356,802,106,546,957,303,323,784,489,331,657,206,692,228,905,347,556,166,
979,433,466,388,150,870,905,637,770,802,085,485,227,328,403,292,911,600,925,
161,845,211,582,881,388,205,308,120,967,489,892,141,247,329,133,263,148,502,
015,702,524,102,686,548,152,546,292,332,367,716,808,116,024,923,776,419,322,
776,857,832,661,953,581,084,497,809,673,337,504,413,386,365,414,491,940,038,
225,890,878,969,744,180,654,854,967,985,786,925,064,756,574,798,414,354,522,
960,422,938,170,219,289,170,173,848,506,610,063,234,255,456,680,188,630,361,
090,533,394,608,778,425,931,750,579,927,032,860,351,795,593,485,229,591,212,
768,209,761,353,910,308,526,032,683,339,720,409,526,129,708,898,659,702,529,
883,032,028,459,910,234,387,714,266,420,580,242,478,585,746,544,626,241,218,
721,969,804,967,081,454,555,238,729,022,641,425,192,864,237,730,209,578,192,
697,426,560,801,902,536,986,092,900,829,013,051,223,125,989,466,427,719,187,
462,058,624,772,109,722,589,783,914,811,093,093,955,826,330,285,696,935,903,
883,256,640,682,631,586,215,262,087,598,279,305,977,144,768,880,543,979,545,
292,033,937,636,291,335,862,498,451,032,774,173,308,320,004,009,929,316,995,
899,927,299,214,451,375,895,167,639,941,669,992,249,867,661,579,312,789,948,
852,230,268,351,682,872,601,682,461,687,386,472,572,141,007,112,723,581,112,
122,243,379,707,055,234,200,124,811,984,359,131,069,759,357,728,822,116,299,
000,920,885,903,989,084,524,222,716,079,664,268,599,735,955,323,412,284,769,
324,300,573,138,089,680,177,212,377,169,759,768,332,450,862,197,147,076,342,
448,902,908,215,895,633,656,954,889,520,474,786,772,584,924,423,347,010,957,
336,408,703,898,821,133,188,777,635,476,484,911,303,626,802,188,454,216,574,
382,941,469,429,731,406,405,014,222,326,725,545,101,866,805,648,221,621,236,
392,825,523,856,632,210,521,844,368,842,686,234,467,340,592,935,590,895,838,
901,065,420,298,034,410,029,022,633,080,711,203,659,797,972,817,748,965,711,
704,866,994,012,982,079,951,965,807,935,037,468,030,268,102,257,008,285,049,
705,065,521,591,957,240,087,687,241,995,578,236,771,694,730,764,977,778,534,
019,500,660,222,444,435,361,816,447,007,203,224,974,939,450,492,565,072,507,
660,957,821,940,001,033,543,095,762,011,641,681,998,534,688,521,767,492,469,
530,960,923,135,450,356,061,723,836,725,217,522,891,866,658,316,867,509,038,
003,709,341,953,080,805,387,480,332,646,897,306,971,953,500,340,936,211,039,
428,235,912,878,609,294,004,991,746,000,041,382,599,745,533,340,212,869,269,
473,595,894,174,272,911,021,114,490,802,128,675,954,601,056,814,326,023,889,
167,294,946,943,102,753,598,875,567,103,605,903,542,713,101,925,495,981,762,
534,805,506,888,635,066,377,195,377,500,885,414,139,960,609,425,499,227,827,
041,803,017,248,056,050,394,924,996,618,093,878,156,483,545,471,837,714,236,
567,283,387,789,858,800,702,965,357,575,174,517,832,036,413,346,542,800,332,
440,904,341,435,923,343,549,144,285,717,416,391,519,142,014,892,890,270,800,
690,707,374,086,165,745,349,522,650,931,127,332,763,676,721,283,836,058,233,
505,338,008,574,356,553,458,332,293,092,139,796,034,189,822,924,037,833,469,
769,394,238,777,656,083,848,314,148,572,789,131,396,937,926,609,816,459,230,
826,194,347,578,108,572,069,638,443,148,875,093,954,473,022,223,606,414,076,
317,632,566,912,629,811,350,161,684,629,351,705,584,367,908,193,907,375,992,
752,484,090,797,984,424,335,230,118,317,356,771,915,611,900,670,302,310,497,
935,611,110,109,702,959,329,538,381,112,192,501,340,392,526,612,894,422,167,
080,444,838,033,124,273,473,925,292,397,211,344,319,871,189,012,238,211,151,
845,982,772,218,287,625,420,997,953,519,843,494,044,558,684,869,333,681,846,
162,375,208,965,328,879,004,506,145,519,707,813,245,967,313,836,618,398,941,
619,800,591,911,843,205,740,740,645,844,366,596,769,102,900,281,066,141,049,
903,996,737,427,090,019,772,500,762,493,267,077,898,220,020,883,105,120,601,
737,517,660,656,459,029,428,943,475,218,456,500,559,572,328,844,930,775,376,
041,055,450,299,408,071,493,163,898,983,471,214,477,982,685,171,709,299,353,
294,699,165,889,962,632,915,743,579,333,016,728,651,797,212,564,533,148,088,
302,771,188,954,400,364,053,376,824,839,190,818,266,429,072,723,656,914,544,
115,555,512,751,889,260,455,801,550,125,401,273,689,687,715,653,029,386,160,
816,779,380,857,654,811,002,908,667,743,082,722,330,084,970,782,562,524,552,
798,141,608,382,164,890,300,391,041,230,735,247,227,672,451,102,879,850,441,
285,865,737,711,120,223,353,824,654,882,078,664,567,151,022,911,769,418,264,
168,663,492,611,559,063,816,402,831,599,384,222,587,217,035,771,866,058,356,
155,727,197,857,413,142,384,058,014,762,249,236,107,580,960,290,141,681,866,
634,300,810,971,934,590,207,814,103,551,728,690,759,730,399,806,594,064,274,
995,453,024,316,679,439,440,516,737,515,203,747,446,131,518,919,621,572,411,
487,717,652,760,180,353,864,717,372,219,385,449,136,317,087,474,644,331,728,
200,601,073,323,374,874,657,737,686,536,945,188,622,722,796,631,949,933,855,
151,563,973,107,744,976,356,049,799,934,803,801,826,989,193,386,992,429,191,
482,425,301,731,412,900,730,839,140,751,245,544,595,315,373,522,856,017,468,
358,099,914,083,014,992,762,569,820,995,789,525,122,439,071,791,119,790,619,
087,435,655,552,199,766,900,157,782,241,966,577,523,352,414,403,865,863,929,
420,243,274,486,872,033,488,638,757,710,043,108,337,701,120,807,604,930,953,
795,971,973,219,832,398,852,342,837,218,465,808,711,332,128,897,769,630,259,
113,161,661,074,014,258,667,911,958,087,833,788,567,071,807,459,759,486,635,
222,336,313,650,599,490,906,064,955,260,963,679,149,845,740,313,073,477,112,
556,282,041,173,437,188,018,420,327,886,014,732,570,528,364,483,364,751,962,
614,939,855,624,869,313,719,714,927,589,867,249,231,995,597,469,010,238,834,
050,822,585,497,591,199,788,881,930,335,766,089,887,310,062,140,333,745,775,
273,820,601,586,285,197,704,336,287,226,536,914,538,797,634,725,508,924,840,
760,393,070,489,381,188,818,975,231,754,078,573,780,871,887,095,724,440,373,
580,868,790,489,080,891,647,226,352,800,040,423,129,393,243,791,617,640,353,
157,124,483,311,988,359,127,744,855,238,731,759,183,921,978,650,894,786,984,
995,925,444,298,099,448,415,694,709,262,265,395,646,027,356,117,984,078,807,
307,317,845,159,075,233,502,095,331,392,369,472,678,277,549,319,603,504,969,
103,550,443,224,763,618,748,609,192,045,745,694,196,935,206,273,607,819,738,
620,382,943,618,114,662,041,091,450,892,887,235,971,425,975,117,077,718,943,
660,141,257,478,134,930,816,275,933,631,528,678,585,045,992,583,432,456,120,
862,005,817,528,060,176,647,683,749,919,055,423,637,258,213,786,559,938,425,
898,672,933,344,056,555,815,090,056,380,518,394,075,332,082,624,641,120,283,
218,620,114,458,383,431,135,193,813,238,546,853,273,878,871,769,896,398,971,
688,343,493,810,117,843,602,057,746,814,374,655,374,236,733,961,325,716,469,
015,785,998,766,688,777,912,817,532,800,341,508,544,004,697,915,901,746,264,
348,342,981,868,648,651,294,040,991,988,060,812,051,064,029,170,684,718,616,
353,708,595,502,151,869,748,076,453,197,701,585,589,038,004,438,773,757,847,
564,751,110,540,457,968,230,761,740,065,327,614,226,610,086,422,389,104,895,
067,803,123,719,707,374,926,120,745,088,087,269,211,633,629,893,888,205,533,
357,439,019,879,941,800,324,682,186,062,147,365,156,848,503,305,352,953,207,
506,861,788,991,443,719,812,315,467,094,256,150,557,911,864,428,959,233,483,
576,409,721,804,481,114,790,223,976,359,556,894,563,710,008,033,621,902,943,
484,117,418,017,286,565,509,423,276,564,364,378,956,093,037,860,866,844,724,
718,727,596,961,837,021,765,217,565,480,709,434,341,045,093,556,282,545,898,
080,684,876,393,368,542,268,019,552,790,790,452,680,722,582,300,368,760,082,
134,169,497,609,146,619,583,920,533,720,089,119,638,783,930,389,981,147,067,
926,647,708,275,600,698,051,137,081,458,822,576,098,525,328,328,708,012,781,
022,123,008,354,745,658,116,698,906,225,607,329,534,121,977,414,066,386,644,
534,070,243,907,392,929,696,907,489,159,855,282,216,845,338,867,211,741,755,
869,315,357,824,085,973,943,126,487,579,485,872,608,714,445,302,450,101,336,
089,031,786,237,523,120,512,720,447,297,597,330,945,121,394,717,022,035,347,
284,617,909,354,180,292,719,300,789,199,526,971,983,378,633,726,257,291,159,
886,375,227,357,840,702,715,258,243,239,604,058,175,166,698,153,827,037,407,
910,513,819,735,700,864,272,048,068,559,807,600,989,924,923,894,173,438,217,
777,617,138,697,312,589,763,736,537,081,227,799,973,620,907,102,100,220,864,
877,411,917,082,153,542,575,663,085,825,243,431,011,987,244,785,729,416,113,
231,438,417,909,620,888,157,574,474,142,024,752,033,566,173,418,065,199,675,
447,281,253,149,377,728,021,415,727,931,919,395,818,313,389,764,617,757,568,
186,401,642,622,959,469,819,532,967,369,992,581,942,427,870,116,836,858,300,
464,760,512,020,550,877,661,531,178,463,023,658,530,521,239,237,345,506,052,
119,721,477,885,222,444,613,445,103,507,098,555,992,480,011,924,859,612,739,
687,167,661,076,174,859,798,853,336,165,077,442,213,859,627,812,127,053,508,
711,920,312,885,022,107,287,308,499,577,479,177,253,847,565,952,298,339,121,
910,785,237,723,544,520,226,175,611,392,046,401,268,071,435,800,890,236,492,
434,446,430,518,219,653,214,546,532,679,532,381,251,390,570,733,862,736,227,
637,834,871,611,572,583,363,915,742,151,294,917,943,453,659,176,945,556,142,
478,434,124,527,710,327,446,015,570,130,375,464,282,442,233,255,179,547,039,
266,534,174,342,782,309,885,273,553,377,860,798,257,740,206,947,410,579,185,
737,362,454,909,309,431,808,121,814,039,950,179,752,399,762,533,339,314,445,
097,518,617,621,273,203,099,578,083,298,845,853,860,742,869,006,294,288,152,
160,639,401,315,363,183,225,073,753,492,166,092,344,035,523,923,668,631,030,
241,613,248,383,569,507,331,237,917,786,936,811,015,166,334,977,659,794,452,
307,010,537,684,455,320,251,381,422,648,567,032,299,981,064,886,122,959,561,
013,399,827,595,471,775,391,816,664,151,061,105,351,252,424,768,846,713,508,
650,248,728,316,037,177,812,342,297,731,238,163,166,118,289,432,697,121,336,
804,281,579,510,789,627,532,980,272,779,843,511,681,720,869,041,317,655,225,
877,351,709,699,260,634,588,611,303,285,428,832,381,682,599,222,774,336,729,
046,492,878,185,045,471,824,450,607,813,336,628,887,917,272,655,328,055,884,
436,502,359,191,704,497,330,134,369,810,236,216,037,697,229,128,138,199,746,
766,443,618,780,139,524,452,074,251,167,643,093,406,901,952,316,906,429,596,
670,012,900,564,843,753,536,628,519,912,963,783,453,568,033,784,475,386,461,
637,438,221,473,638,282,202,412,802,893,523,663,868,946,924,588,118,623,860,
344,175,181,918,317,024,731,547,749,055,390,731,833,772,260,742,566,786,696,
406,042,075,290,075,641,713,669,231,718,180,316,759,229,858,810,092,035,741,
612,579,526,128,103,836,918,996,131,097,718,648,901,910,315,164,492,394,411,
767,225,817,525,659,233,691,029,985,058,055,966,620,079,716,137,602,490,260,
396,609,140,261,432,488,359,194,002,176,148,177,634,837,616,103,975,017,765,
376,764,249,458,952,532,501,018,689,876,530,560,499,335,053,377,159,109,604,
531,217,978,056,061,522,880,965,562,170,091,967,442,961,760,010,614,264,409,
652,676,679,098,117,138,735,446,500,070,463,321,994,572,670,703,947,545,488,
651,589,585,545,657,704,641,466,265,374,721,462,245,198,158,636,049,188,876,
888,030,253,553,168,838,994,411,189,769,372,339,675,619,246,839,119,909,532,
382,780,875,388,234,667,029,362,425,718,671,594,718,985,229,156,490,803,348,
447,750,608,316,112,439,208,857,174,017,169,240,863,714,536,754,388,936,767,
167,189,481,793,483,015,255,552,273,166,035,384,118,450,240,828,754,972,548,
552,125,891,681,741,190,565,326,496,505,095,049,680,394,297,629,496,443,814,
104,173,178,641,077,155,914,167,396,828,347,217,802,233,192,076,444,054,072,
865,657,414,366,344,865,232,251,976,505,684,235,144,793,941,226,164,256,850,
625,321,085,653,921,546,004,166,831,492,690,906,516,077,616,011,141,761,130,
136,876,545,183,351,067,195,368,412,983,679,723,830,939,636,182,399,981,472,
626,186,134,930,647,828,793,747,176,386,830,913,393,068,285,005,211,437,885,
765,093,083,418,015,799,880,508,463,019,372,796,079,368,780,909,641,998,294,
101,033,896,723,582,164,936,783,278,728,006,016,486,709,472,917,183,678,765,
579,498,567,443,216,026,929,474,669,127,173,820,586,615,217,407,639,385,595,
862,460,590,428,048,740,525,067,901,541,084,670,008,852,904,588,352,054,417,
446,345,495,889,212,793,480,034,396,684,628,782,020,164,054,524,457,848,261,
564,181,221,620,999,195,827,886,651,120,596,659,833,683,607,380,467,633,485,
807,692,348,968,757,486,297,828,159,065,620,360,246,020,540,537,482,493,562,
603,582,755,793,664,775,027,520,984,654,691,486,375,150,515,666,228,323,027,
939,178,595,728,336,422,249,829,357,658,306,076,205,998,362,369,130,487,421,
448,106,659,988,769,179,388,751,670,134,085,753,341,226,833,605,806,687,826,
002,082,716,965,564,893,578,317,229,211,849,717,204,746,650,131,132,917,956,
749,577,587,850,325,362,571,176,821,038,383,944,984,700,543,790,574,249,843,
797,764,513,027,645,200,754,504,881,517,702,332,670,030,139,902,558,653,260,
812,787,977,910,809,899,014,969,701,654,368,547,788,044,134,324,170,766,049,
888,578,860,864,474,641,129,718,700,767,584,438,134,194,898,015,578,043,408,
844,151,601,532,532,361,886,444,475,450,621,895,906,219,893,941,470,369,364,
553,661,660,386,744,230,532,040,790,674,254,926,195,183,322,631,365,494,146,
473,017,341,738,516,247,701,281,850,772,203,014,222,340,122,569,115,872,481,
145,886,275,199,108,551,777,179,834,384,595,360,375,342,117,115,739,618,047,
146,968,994,407,584,933,688,924,962,712,451,228,529,831,919,096,517,417,799,
926,829,230,792,763,923,431,360,502,103,283,517,285,036,832,528,722,842,931,
108,500,511,166,564,461,042,012,851,275,686,691,957,182,815,192,046,981,732,
116,746,939,246,245,526,263,979,119,321,812,767,413,029,203,092,625,099,125,
838,195,535,109,176,737,174,822,871,151,959,668,169,704,988,284,444,468,031,
509,738,474,193,697,877,609,164,099,893,344,758,170,011,986,297,872,410,751,
700,167,484,593,461,009,996,373,366,745,061,178,506,613,019,918,695,888,919,
524,053,924,140,781,637,003,803,396,949,319,824,895,507,854,238,907,826,325,
632,153,442,141,302,648,179,833,868,332,954,476,691,463,715,578,498,916,488,
120,407,988,032,724,323,981,155,335,074,245,857,715,681,576,611,683,614,145,
387,141,609,641,857,514,376,121,930,175,803,919,037,522,304,402,150,954,833,
500,208,962,022,469,680,821,598,999,830,984,146,188,248,047,439,941,438,436,
139,073,342,474,734,355,599,419,039,487,542,829,747,231,956,364,607,414,376,
696,722,156,996,134,883,958,275,252,960,254,137,890,297,374,680,925,418,818,
972,713,457,409,310,550,875,727,726,220,721,189,849,272,110,317,851,960,686,
992,114,767,431,855,444,466,127,662,921,550,502,875,635,381,812,614,822,862,
039,703,573,945,461,863,998,757,472,616,582,319,232,229,582,593,779,801,628,
652,606,585,165,901,070,536,470,499,315,435,999,586,611,033,961,886,139,665,
278,236,322,976,729,331,033,545,187,423,990,515,412,594,092,668,734,195,240,
073,993,984,496,042,259,290,729,317,419,135,407,417,776,951,582,371,642,156,
648,270,719,091,673,903,331,696,295,911,068,315,245,408,473,572,692,752,709,
764,702,773,919,408,700,103,706,101,205,340,308,959,056,159,908,070,983,088,
623,675,914,657,505,022,223,568,156,751,587,858,565,985,908,187,930,953,211,
140,850,218,129,351,409,799,614,219,483,503,701,563,573,358,226,628,782,555,
917,430,916,580,907,559,025,341,281,277,250,477,648,592,174,717,197,139,898,
870,394,635,922,754,921,400,842,894,365,808,422,020,524,600,732,481,987,504,
660,952,234,204,746,480,267,418,590,408,634,028,307,240,900,430,778,835,243,
315,276,867,023,149,634,917,496,897,522,177,519,697,484,797,333,098,427,502,
403,333,716,062,360,563,814,010,757,909,328,601,889,621,169,370,747,033,681,
181,588,190,542,640,974,447,386,722,134,958,452,630,803,522,406,056,618,287,
760,939,867,863,678,320,306,849,359,665,933,151,866,450,471,841,989,170,182,
016,738,146,084,714,943,953,031,485,182,185,337,188,227,882,209,361,572,627,
537,616,008,302,474,221,301,014,723,945,012,026,506,671,067,014,014,896,907,
057,756,386,123,502,722,039,802,608,017,351,794,776,598,059,998,623,863,362,
949,276,658,116,379,990,389,682,205,264,727,320,761,179,287,992,388,356,190,
086,791,623,666,837,918,259,550,340,301,633,700,293,431,907,997,489,140,189,
438,258,532,805,748,427,781,330,269,313,139,447,028,991,626,936,270,710,811,
916,537,710,083,944,794,236,771,995,468,374,352,936,269,234,984,150,032,922,
857,227,636,694,322,109,266,389,942,705,449,560,518,096,945,643,441,823,256,
329,775,186,657,607,346,416,740,892,263,165,417,028,587,620,506,607,552,348,
548,065,049,643,894,667,123,584,833,944,502,846,447,810,798,839,328,329,220,
792,385,957,845,068,031,735,675,919,692,012,966,648,776,483,193,584,056,928,
880,907,515,551,243,160,194,439,966,217,506,804,551,144,449,420,224,271,334,
495,771,179,551,210,526,960,256,944,839,460,494,851,019,103,886,797,243,803,
136,763,999,875,871,712,596,287,352,767,917,193,004,639,831,676,578,692,339,
250,731,835,795,926,843,339,731,598,069,550,872,290,190,177,267,420,712,521,
321,022,112,690,257,936,970,949,700,956,592,231,208,548,263,698,759,894,139,
110,234,380,444,556,791,335,808,463,524,335,387,302,257,476,553,995,668,883,
235,246,388,690,077,111,982,066,655,742,275,321,970,824,599,124,928,214,783,
752,898,833,677,445,326,996,221,970,007,608,360,599,209,824,311,993,790,348,
976,132,192,620,691,735,542,001,393,638,726,681,597,680,310,383,009,693,241,
438,768,944,628,747,475,926,584,217,677,040,065,217,989,447,511,241,125,073,
874,529,374,437,632,750,517,463,822,162,334,940,324,768,598,001,414,686,148,
676,466,637,194,750,662,630,325,628,929,818,330,303,944,759,168,990,931,380,
636,189,528,621,904,555,583,142,905,412,087,923,377,790,048,036,302,479,641,
428,540,877,980,371,652,950,426,290,961,498,862,312,540,023,420,929,766,167,
397,908,517,208,496,482,834,043,255,745,997,247,395,443,771,900,550,577,398,
225,822,261,356,848,408,323,014,574,086,928,134,782,524,176,200,086,694,859,
659,473,217,427,133,813,570,667,183,021,196,725,171,001,369,816,684,610,658,
346,626,304,131,434,904,318,332,977,662,734,521,628,699,486,504,891,107,913,
195,050,136,103,739,649,572,495,391,816,396,736,506,874,486,683,629,427,181,
400,723,254,366,024,644,997,202,285,616,965,708,964,445,656,391,673,358,745,
081,192,914,508,392,310,583,863,364,110,761,357,151,804,613,198,488,358,946,
762,892,006,400,641,810,744,917,803,371,188,198,508,903,858,856,395,159,330,
440,982,182,423,935,309,133,486,618,703,041,745,852,782,693,168,119,802,194,
976,533,774,668,105,359,133,481,620,977,179,488,361,628,014,933,388,575,222,
798,616,699,633,363,037,075,484,094,132,041,937,580,279,961,366,998,561,748,
607,376,321,637,691,337,343,509,701,362,006,289,014,955,433,007,632,196,679,
748,928,665,108,858,694,150,239,854,681,457,742,547,020,205,063,606,986,234,
455,589,320,127,098,519,333,338,954,567,362,848,147,362,256,012,459,180,059,
232,356,848,197,904,176,207,051,108,094,549,951,540,982,106,202,503,098,900,
259,315,686,713,868,825,343,240,601,580,681,850,815,273,298,745,762,005,953,
159,763,164,220,501,549,419,552,081,259,682,586,280,211,494,772,516,186,551,
228,863,625,384,139,032,304,915,362,345,311,922,755,486,549,073,199,297,257,
696,531,507,378,716,209,168,822,682,069,163,750,535,402,449,125,606,592,950,
109,868,235,197,716,007,109,027,394,472,973,905,884,087,886,899,195,653,182,
770,748,674,185,625,085,863,888,604,611,673,577,462,032,063,531,041,045,951,
241,978,164,911,393,493,997,175,818,374,168,547,952,362,903,746,895,680,812,
342,833,195,275,351,417,350,307,148,368,877,188,596,676,587,935,500,706,280,
240,208,735,992,557,631,927,508,836,497,306,985,686,247,138,933,099,218,024,
854,314,572,258,540,173,030,154,749,150,120,786,265,374,963,799,646,209,624,
535,704,193,788,889,107,314,703,408,568,633,521,128,782,437,611,784,301,756,
722,079,736,560,361,237,688,735,391,600,834,917,960,946,015,204,564,182,570,
231,047,684,601,384,619,257,060,541,186,835,564,846,051,619,697,117,382,570,
147,187,320,914,024,626,715,050,780,008,351,655,892,672,081,880,278,680,879,
004,119,896,635,887,069,735,802,026,849,345,614,732,352,309,621,825,546,228,
335,945,397,373,465,305,145,285,587,704,758,316,085,537,101,783,940,999,471,
994,735,720,921,177,347,115,082,011,626,643,645,356,255,117,361,524,898,217,
758,272,654,820,774,462,699,682,952,828,137,474,599,573,989,260,967,828,755,
601,397,143,241,466,395,186,430,241,289,883,031,382,329,233,451,408,418,466,
788,169,491,975,392,229,093,348,591,124,155,925,437,303,362,315,861,374,350,
665,996,197,077,681,841,941,251,231,430,727,643,596,603,102,067,935,852,692,
702,750,648,809,654,702,773,575,713,103,639,025,768,478,586,358,206,362,329,
140,489,556,775,952,452,298,358,808,077,197,042,677,208,849,560,708,955,380,
420,057,495,456,208,404,354,702,433,549,776,192,669,618,621,070,389,931,380,
449,742,905,086,981,614,532,477,209,404,604,443,612,851,433,148,291,365,605,
887,150,142,898,369,118,678,607,426,694,903,303,288,809,638,690,386,031,756,
416,172,586,034,209,227,725,017,287,732,015,060,292,347,904,460,466,517,082,
258,011,083,713,148,250,012,382,252,097,094,031,960,841,730,311,812,636,883,
261,806,976,318,958,576,231,197,684,250,254,998,991,246,426,910,889,283,968,
512,840,576,358,987,347,098,118,254,072,408,294,824,647,880,958,791,723,916,
567,755,130,991,298,477,365,820,955,185,348,056,520,751,253,277,710,221,482,
837,493,820,899,650,180,920,555,562,827,985,206,868,011,726,449,994,135,264,
207,425,801,748,988,702,447,992,526,640,232,056,863,771,324,513,219,585,611,
152,039,900,050,939,959,651,441,906,229,362,496,076,133,492,872,547,422,397,
994,844,685,286,209,010,277,306,470,696,845,180,737,910,056,803,981,939,975,
298,608,550,570,379,930,398,704,125,039,704,213,160,805,378,650,672,223,536,
581,211,096,545,628,980,993,249,774,006,989,680,298,451,246,661,367,378,719,
138,193,011,447,419,596,009,431,654,137,806,478,545,308,267,906,046,268,864,
906,859,479,086,103,410,869,422,646,152,409,194,925,790,729,652,509,236,513,
085,957,804,542,657,586,171,300,180,913,455,207,659,295,156,542,542,400,087,
486,541,253,303,607,258,129,364,000,843,109,202,412,163,948,159,983,256,110,
404,247,082,077,508,357,677,733,264,322,283,095,925,136,903,368,357,275,234,
105,345,665,696,288,248,019,782,220,320,144,835,887,432,172,705,240,613,814,
057,313,177,329,411,741,020,689,817,442,122,175,023,703,059,992,184,299,980,
154,863,625,018,881,095,616,905,162,481,100,269,708,964,073,987,978,260,589,
082,887,838,436,418,717,289,253,591,418,067,987,295,405,961,990,677,027,786,
730,629,902,865,763,371,712,337,595,473,496,561,646,868,025,452,249,050,780,
513,606,151,717,385,992,002,283,530,035,870,550,715,709,731,568,630,249,193,
422,177,535,379,556,719,203,630,484,145,071,245,741,437,403,397,570,981,950,
316,020,973,675,929,889,844,958,661,606,398,108,694,734,310,741,180,241,578,
937,324,772,534,595,682,069,700,259,401,629,332,587,894,987,154,376,367,867,
856,211,531,988,753,151,737,949,157,596,400,506,470,364,077,889,822,129,224,
428,030,874,998,915,621,662,670,400,526,498,928,663,452,010,258,040,351,944,
544,152,100,838,639,433,027,905,340,732,867,534,956,929,209,848,927,644,808,
322,443,590,902,873,785,991,193,528,540,694,865,951,381,653,235,286,076,199,
538,834,395,415,420,230,937,618,771,851,448,758,066,273,202,903,719,347,998,
256,514,053,746,947,261,366,357,709,037,561,056,225,215,265,230,065,558,829,
313,895,587,575,593,229,479,892,986,359,715,871,876,741,404,595,859,760,668,
830,973,833,465,274,415,720,433,366,858,567,340,514,610,139,248,944,604,966,
772,161,749,943,140,833,964,948,454,459,590,546,895,673,848,097,012,363,984,
654,071,295,494,703,474,310,066,557,423,968,227,639,651,288,378,185,347,628,
541,445,411,991,667,928,333,871,875,903,990,283,087,021,831,034,094,105,978,
295,583,045,762,583,599,417,748,515,792,928,089,786,201,123,999,974,099,216,
451,721,819,075,951,563,837,231,091,873,695,677,300,841,345,255,414,149,123,
782,268,601,431,139,591,320,393,680,923,536,291,457,764,933,879,122,100,761,
246,635,736,305,565,770,212,842,600,819,860,594,728,618,392,117,524,784,749,
751,016,966,428,536,395,172,361,993,129,201,252,505,122,006,301,818,098,962,
891,229,675,865,076,153,024,262,412,347,394,015,810,697,079,006,984,888,464,
442,684,354,630,666,585,560,081,983,811,017,846,884,207,129,875,522,017,339,
484,750,367,808,964,752,971,821,279,345,868,749,468,026,429,020,887,798,322,
962,679,012,945,905,498,014,974,502,453,148,816,106,208,325,028,622,992,500,
280,183,013,262,920,310,149,398,449,527,900,202,445,291,995,532,543,222,043,
472,570,904,290,712,562,758,553,551,307,314,405,394,834,897,908,121,944,867,
191,187,257,321,100,327,482,203,454,164,133,433,119,331,888,859,940,282,155,
648,539,471,512,015,687,531,176,248,777,682,371,334,421,246,575,040,822,313,
855,817,819,325,203,388,595,797,980,900,914,932,820,435,970,344,218,073,709,
469,949,095,798,047,224,378,749,395,370,794,694,660,924,894,179,885,471,145,
341,334,212,274,783,077,423,828,868,551,911,847,083,992,207,821,223,657,443,
924,660,502,197,045,895,952,043,299,903,884,490,802,942,887,804,682,213,058,
962,816,279,201,755,926,787,656,393,739,771,593,836,724,840,245,636,980,637,
282,032,327,391,015,020,421,653,110,421,627,131,631,612,769,114,453,957,332,
932,796,304,073,188,432,737,440,861,387,383,031,095,466,367,059,841,794,715,
639,989,917,729,542,990,669,005,372,734,945,245,817,460,451,179,734,964,814,
264,538,926,046,365,371,319,170,637,002,199,714,455,428,482,872,687,500,052,
247,745,951,124,619,989,903,036,425,293,606,400,801,724,722,932,721,615,165,
532,384,225,586,738,727,560,346,350,007,081,668,400,363,015,693,596,116,182,
071,551,534,314,767,893,889,586,969,028,652,980,779,610,497,053,023,856,724,
185,220,821,300,859,295,433,894,331,095,071,708,563,563,685,556,113,286,078,
556,388,259,805,105,231,491,359,778,181,044,551,420,134,803,367,427,108,720,
407,722,049,468,498,416,748,764,089,644,913,727,992,265,567,834,429,145,398,
614,485,912,941,257,040,003,161,321,004,856,539,396,409,150,005,818,537,080,
425,446,818,577,162,075,877,724,325,874,092,104,944,184,573,591,408,160,489,
824,664,649,754,134,059,289,052,468,906,894,294,109,006,908,633,409,306,863,
629,238,616,656,960,761,071,483,261,312,321,110,914,764,323,298,623,917,927,
375,414,027,764,711,857,424,317,729,250,932,890,185,833,824,741,634,586,218,
372,817,994,489,909,243,237,360,756,445,083,703,112,461,722,701,892,574,252,
442,783,220,072,536,826,918,076,895,629,885,548,362,228,048,645,999,027,639,
174,257,011,022,390,276,665,360,442,612,629,825,415,703,113,425,368,528,149,
025,138,687,338,356,237,652,669,712,929,960,965,667,735,373,216,254,876,508,
380,962,606,944,130,718,862,903,320,497,857,886,426,018,931,052,031,331,777,
104,909,605,264,508,746,216,522,246,620,891,550,328,014,369,489,307,258,624,
642,325,355,315,734,050,021,623,305,856,042,760,268,744,081,417,052,480,003,
667,366,048,718,346,988,175,626,020,462,190,657,115,541,363,745,525,372,139,
370,199,477,836,969,478,049,796,922,501,513,650,366,804,217,578,964,441,461,
758,346,117,806,544,661,138,287,681,590,860,916,181,840,865,681,077,759,168,
106,510,571,728,117,521,749,591,438,774,980,088,396,918,660,068,914,690,540,
951,792,090,604,440,216,700,457,199,202,610,105,542,499,877,572,227,697,873,
464,517,817,760,447,910,393,199,914,899,356,408,205,600,981,594,519,916,093,
231,693,809,543,569,448,540,330,457,087,558,917,503,976,705,026,186,051,261,
712,520,425,477,941,527,165,431,593,336,520,319,481,407,261,804,127,499,176,
113,972,430,753,522,631,411,398,289,167,002,637,007,380,929,255,103,379,054,
360,773,783,860,000,163,932,846,938,670,693,798,175,926,375,548,070,231,455,
755,116,472,768,967,550,733,041,605,625,611,005,039,930,500,144,604,156,336,
138,600,018,432,547,293,350,857,161,864,399,284,264,697,814,115,746,272,978,
920,840,778,076,911,162,899,978,774,561,866,093,021,347,527,900,327,536,267,
641,004,271,706,016,428,402,827,718,540,499,322,546,562,477,930,448,796,412,
586,793,994,967,530,006,026,753,311,859,303,782,931,375,674,229,974,501,847,
131,152,695,627,300,939,830,413,201,180,408,045,301,850,712,141,033,616,788,
212,540,609,830,240,790,070,267,858,573,616,386,239,895,980,957,083,964,640,
719,223,103,527,601,691,555,262,333,363,499,728,361,165,706,224,779,785,066,
378,837,498,323,150,374,683,961,702,787,513,218,189,899,647,965,514,309,914,
925,627,405,858,338,046,092,812,043,310,963,255,043,610,652,960,331,035,839,
901,013,081,000,521,050,949,517,911,304,802,668,868,359,961,747,690,039,189,
679,653,297,562,773,239,576,378,142,330,556,045,372,308,572,177,768,092,869,
230,548,221,102,940,227,139,240,454,270,574,910,443,798,219,633,924,509,577,
392,816,910,354,100,884,713,169,524,686,101,826,839,951,820,144,981,298,900,
184,281,682,320,277,057,455,220,887,928,730,946,930,959,318,005,500,418,391,
549,238,034,306,723,592,370,289,148,917,645,202,836,826,898,712,777,204,305,
235,292,605,404,898,213,156,800,366,767,109,503,699,840,475,810,708,355,558,
102,652,794,509,611,027,817,734,362,170,032,183,740,042,871,076,727,552,720,
575,196,439,729,551,055,956,618,667,717,348,461,908,247,934,112,408,575,186,
234,214,878,096,245,627,895,538,866,497,763,630,515,305,952,167,358,362,133,
147,570,782,913,972,781,700,167,257,552,469,325,308,826,021,238,084,651,027,
024,100,324,253,934,321,643,316,091,703,649,799,505,340,337,729,007,932,225,
915,730,837,708,074,733,005,287,296,170,913,412,501,082,958,654,122,518,052,
841,083,304,653,697,477,934,423,252,747,339,397,055,508,633,197,239,827,618,
004,427,420,066,410,659,988,064,706,283,741,552,927,588,900,973,692,193,071,
321,597,526,774,915,824,975,346,574,500,262,363,120,102,064,675,865,113,753,
820,555,301,586,003,355,523,041,786,011,326,132,669,824,425,488,540,159,021,
904,359,836,868,360,913,814,866,738,539,673,433,314,264,341,359,965,483,835,
478,477,132,750,833,408,110,904,836,457,804,075,335,228,429,164,594,220,676,
455,268,576,662,098,406,432,935,316,730,384,365,003,655,667,839,665,421,855,
781,277,580,299,930,863,162,890,686,500,974,033,955,996,008,328,151,874,423,
415,412,959,483,369,244,755,622,035,455,873,972,570,055,848,615,724,079,072,
648,588,196,450,861,214,280,092,595,339,436,221,926,115,241,802,117,376,150,
553,477,374,432,297,616,875,559,623,281,756,704,077,216,060,506,716,399,646,
755,484,564,940,648,734,242,734,864,657,717,954,903,311,655,915,655,297,932,
807,201,787,278,279,503,721,647,303,718,462,867,186,492,760,640,914,955,195,
723,399,908,771,059,006,527,405,118,807,281,162,011,608,483,714,164,491,531,
639,614,898,670,860,760,983,085,162,603,140,881,994,153,759,957,191,114,250,
586,678,101,494,014,536,426,753,986,136,223,032,087,562,330,257,573,471,858,
592,304,270,468,505,375,623,500,603,759,342,723,950,235,066,133,794,713,970,
905,527,692,296,964,866,612,440,671,387,448,846,992,605,322,688,246,665,025,
807,760,779,793,220,247,079,703,241,251,341,806,470,880,708,944,284,418,671,
921,502,615,186,772,527,982,447,160,591,953,741,455,607,932,007,742,722,694,
692,417,984,125,219,736,536,677,538,390,298,430,866,514,774,341,354,853,148,
608,038,944,791,416,165,397,585,042,141,889,335,063,484,431,125,383,596,934,
616,018,080,441,091,567,030,966,133,605,306,073,390,850,841,059,621,149,884,
572,882,282,572,830,071,555,596,325,215,913,760,296,436,606,949,321,711,976,
317,074,687,127,537,297,560,473,925,143,311,685,285,963,367,644,252,622,542,
814,305,897,036,574,811,924,958,515,537,035,708,014,250,965,758,513,569,971,
048,895,621,729,564,045,627,229,462,223,069,721,422,766,482,471,001,066,008,
604,441,128,495,656,151,860,621,250,415,071,957,979,695,428,845,780,692,800,
146,184,491,934,920,266,050,297,040,366,817,295,270,858,487,866,802,258,338,
341,776,789,271,246,959,515,165,116,015,250,714,698,569,805,837,102,951,735,
210,352,421,639,958,081,809,542,861,040,428,737,836,042,643,855,669,350,944,
210,190,995,332,322,545,398,275,125,669,127,068,749,576,517,204,085,468,395,
356,335,318,509,868,107,205,517,423,224,615,460,454,677,309,356,659,871,042,
901,809,182,485,435,612,239,912,934,582,011,515,075,374,440,264,396,539,251,
061,497,315,177,836,031,265,661,891,515,744,345,833,659,705,729,743,947,918,
725,246,280,540,598,984,411,437,565,966,917,637,812,659,968,252,517,804,193,
249,004,199,858,632,041,211,524,150,631,061,926,684,373,931,319,807,303,536,
600,662,109,482,207,982,529,423,029,055,378,971,292,150,752,006,083,558,376,
897,556,568,230,095,399,239,106,520,678,421,843,830,391,873,721,315,863,930,
755,106,844,610,729,851,455,214,759,233,189,980,796,279,267,525,314,340,339,
082,938,971,751,407,069,138,942,162,931,247,725,303,165,966,200,669,674,124,
500,767,858,095,871,643,385,377,233,529,419,232,123,743,540,455,380,093,066,
736,037,547,835,485,154,027,149,720,873,244,951,581,236,262,346,012,519,033,
362,640,457,116,171,142,308,754,081,350,364,284,626,410,301,410,012,950,901,
820,178,267,689,781,128,475,530,714,879,318,459,515,852,802,805,848,871,665,
497,734,019,478,897,609,919,346,104,416,608,032,103,630,429,818,949,188,154,
268,083,334,997,464,836,762,304,736,177,680,735,206,285,981,062,124,626,219,
431,857,650,415,750,320,634,203,043,779,727,987,970,288,711,825,923,090,777,
345,684,667,104,387,891,786,757,750,758,746,038,630,397,763,440,717,331,764,
108,999,306,972,816,581,518,940,976,237,118,632,731,863,347,859,888,071,091,
501,742,009,181,139,694,348,321,583,771,735,518,056,882,498,580,766,016,594,
616,662,608,812,865,287,868,793,624,475,536,948,627,502,118,807,339,119,275,
035,870,551,574,743,962,227,850,218,475,276,003,119,250,934,171,316,410,378,
074,717,209,154,835,612,956,424,522,584,719,960,936,986,292,043,644,255,500,
441,105,046,232,061,520,984,349,185,883,582,369,316,446,976,051,503,220,622,
526,907,033,179,431,226,924,744,921,977,129,377,883,320,523,677,383,487,836,
561,040,298,306,603,898,671,867,546,348,040,782,574,065,436,336,451,815,676,
973,372,435,288,308,835,645,571,787,236,611,062,379,507,038,822,028,643,396,
949,029,085,458,926,127,813,358,959,084,343,995,634,722,087,959,537,794,489,
736,815,055,887,476,559,765,017,178,865,819,982,261,454,314,468,501,702,976,
240,293,387,664,684,291,756,822,478,975,999,242,125,281,949,396,353,950,042,
965,017,430,481,378,885,826,559,088,023,623,485,236,714,673,217,354,949,025,
101,630,862,703,287,506,433,438,172,008,221,008,061,001,200,974,437,897,155,
135,688,081,876,528,098,202,852,322,058,363,882,463,634,332,492,413,225,629,
394,851,664,179,228,664,022,565,789,216,511,927,006,702,577,501,487,020,230,
251,613,547,571,192,446,898,990,337,555,564,652,414,805,431,859,822,926,618,
485,833,003,512,440,815,041,526,283,164,857,806,993,396,356,521,878,116,379,
079,396,790,068,370,745,805,553,830,621,376,685,089,585,587,398,045,618,021,
202,362,027,251,573,994,508,208,462,095,649,164,477,189,623,930,965,036,205,
720,231,288,026,999,625,734,165,021,812,093,390,058,337,485,431,005,988,275,
177,567,638,793,813,286,035,933,945,531,434,729,738,070,364,279,243,272,402,
674,213,042,514,642,681,022,671,897,375,823,066,816,966,153,454,391,653,213,
523,726,043,270,784,727,826,715,296,652,606,615,336,237,700,065,765,838,279,
165,469,920,732,997,410,963,900,931,584,266,924,895,962,739,915,873,304,769,
329,090,338,491,337,408,379,577,153,547,074,896,702,421,488,161,054,831,736,
367,287,250,132,788,149,290,163,688,155,112,461,556,525,823,274,842,360,891,
650,507,890,059,736,897,444,783,346,587,775,322,243,249,891,980,058,885,946,
319,973,326,241,809,780,606,378,122,602,507,648,174,865,911,760,515,871,114,
281,367,440,400,098,993,533,047,185,954,475,432,233,610,634,172,332,045,247,
306,805,054,252,922,210,122,229,937,960,244,686,707,825,855,891,733,236,449,
959,648,166,301,255,903,278,561,185,345,840,698,122,292,735,893,349,309,402,
425,034,662,749,435,300,276,966,907,774,330,425,333,246,595,746,778,814,456,
329,917,809,967,470,614,466,088,610,848,199,509,356,260,961,057,800,636,534,
510,535,394,891,457,193,635,056,247,458,925,671,824,648,857,780,973,820,221,
997,877,457,370,203,267,577,785,129,125,244,698,748,873,927,519,393,691,670,
003,761,817,561,405,099,415,961,820,917,070,846,882,961,574,103,253,569,045,
736,897,062,742,574,571,342,737,618,094,631,794,745,485,213,399,166,902,437,
142,178,241,030,779,154,064,202,927,383,809,495,047,661,512,463,719,906,270,
889,766,073,882,849,944,067,844,818,117,872,300,973,844,436,993,423,324,673,
633,623,538,078,325,564,062,842,875,825,148,954,730,007,767,932,691,190,659,
563,167,376,928,437,918,852,739,699,043,585,355,033,184,075,515,604,242,125,
159,198,909,078,048,198,442,471,501,127,690,213,476,803,556,876,333,829,547,
294,481,495,953,102,647,370,538,573,437,308,274,896,312,593,319,418,132,204,
374,574,767,411,996,210,349,890,264,677,502,553,852,995,718,792,633,387,623,
817,267,519,871,383,948,056,075,671,562,604,548,774,109,529,841,870,161,622,
599,390,578,464,906,687,209,412,561,192,042,506,349,135,408,107,034,223,444,
685,772,404,217,601,391,800,723,405,260,399,547,916,611,366,879,816,574,846,
510,447,774,882,862,658,676,695,437,944,212,314,173,214,492,253,890,757,043,
331,889,455,899,205,100,090,696,839,581,336,221,072,314,023,400,455,046,132,
293,738,563,916,277,438,941,148,905,842,553,879,331,761,344,631,652,383,595,
442,114,676,428,829,524,241,918,870,232,232,015,375,932,921,831,166,011,695,
783,545,677,375,857,324,163,890,885,400,646,109,078,575,133,820,871,308,522,
117,729,331,053,286,900,067,912,584,249,006,177,693,498,207,743,295,692,598,
083,592,264,848,763,377,980,773,785,126,282,651,757,323,712,692,213,692,456,
638,186,239,337,227,958,265,769,269,448,880,855,909,612,903,857,936,965,231,
556,403,461,638,682,238,850,633,212,246,665,100,158,439,191,713,239,697,047,
442,595,365,004,584,136,549,191,117,045,627,805,715,960,177,658,256,707,480,
768,813,396,182,654,455,667,802,748,595,636,488,707,180,407,834,077,885,493,
869,174,276,067,492,441,213,582,941,433,721,112,991,756,617,328,064,947,378,
023,173,966,221,869,236,989,610,774,032,556,787,537,849,488,939,748,565,583,
347,691,685,568,490,048,686,358,321,319,582,269,678,574,852,249,275,830,531,
494,938,255,038,714,324,134,429,528,775,273,112,089,991,292,910,890,199,085,
271,509,410,683,923,923,859,514,728,314,021,807,478,360,157,304,324,636,219,
239,407,548,137,348,845,721,586,808,396,585,509,244,674,076,177,196,176,653,
191,125,404,735,345,449,198,246,016,913,254,235,329,058,410,376,633,460,558,
532,036,217,532,287,691,032,831,472,876,891,239,479,682,367,727,081,434,949,
430,724,573,269,854,461,956,558,982,406,880,388,252,811,956,903,932,979,679,
749,052,020,880,635,756,974,578,934,439,092,403,462,929,070,499,792,240,288,
498,450,740,357,767,511,620,317,118,075,271,454,254,537,580,869,857,453,073,
751,508,527,913,175,649,785,660,199,642,887,229,372,374,721,953,633,638,413,
273,488,947,532,083,448,251,320,217,196,579,129,278,608,495,982,714,183,208,
707,712,607,075,249,779,160,242,240,965,727,582,484,134,448,318,617,186,723,
780,596,392,092,957,770,926,426,499,209,888,113,150,921,744,679,677,199,305,
789,831,973,240,788,636,039,012,614,048,066,674,816,138,453,468,838,160,969,
680,402,982,687,438,157,659,368,239,667,433,062,134,098,749,231,025,806,849,
666,153,902,595,312,747,492,091,560,664,381,564,454,184,250,380,085,266,610,
881,139,429,457,319,928,179,293,144,424,441,142,549,580,474,799,573,705,590,
974,423,619,716,686,473,218,810,022,639,734,446,178,890,484,791,010,079,061,
129,989,651,805,409,073,305,970,497,522,154,767,086,520,782,674,425,128,205,
922,570,677,607,519,250,024,829,878,070,851,217,121,396,368,156,428,610,153,
433,936,724,406,772,746,760,859,238,941,821,185,175,021,895,491,487,611,484,
777,245,759,563,184,365,229,528,047,008,539,108,582,574,806,909,567,677,628,
096,319,997,019,543,153,585,213,443,110,293,583,842,467,656,762,813,010,691,
180,433,062,416,130,601,637,704,143,751,376,846,022,717,954,515,415,093,935,
408,520,729,264,019,280,914,441,803,962,835,868,605,506,461,141,499,384,512,
372,861,280,451,823,068,750,964,434,755,989,583,600,141,691,712,043,273,807,
095,778,240,724,791,228,546,182,135,137,548,395,446,520,572,468,142,268,917,
264,418,628,454,145,875,896,089,313,306,278,036,602,105,620,440,759,985,431,
488,270,654,317,957,208,105,034,248,572,307,989,907,435,301,718,784,200,598,
178,101,053,593,227,507,280,227,864,657,148,149,022,657,150,242,715,769,659,
534,924,617,993,532,365,755,430,637,318,504,058,830,412,050,954,898,747,331,
029,457,102,180,823,003,362,794,630,065,086,530,385,120,683,404,067,639,492,
572,465,075,755,424,774,504,471,853,908,805,869,531,314,503,363,157,301,232,
659,235,961,622,519,689,834,065,878,133,462,290,380,054,661,060,507,506,414,
598,875,342,252,949,929,546,790,330,613,229,940,097,362,780,412,279,764,682,
250,377,711,610,849,182,412,014,412,265,163,783,613,802,669,849,628,611,083,
159,287,045,392,218,850,511,802,611,572,196,657,826,202,241,876,120,311,643,
197,959,368,992,692,139,709,421,740,749,887,430,922,192,851,607,724,700,475,
163,695,051,199,467,128,176,216,495,651,956,274,186,302,721,008,986,759,739,
955,187,895,434,347,866,644,400,674,184,746,913,000,169,450,546,428,135,425,
980,625,151,137,019,941,923,236,094,563,642,361,507,567,851,398,862,402,703,
658,984,601,140,746,823,466,506,894,254,075,975,902,048,867,025,925,343,944,
176,350,117,479,577,430,917,013,969,976,656,590,913,160,034,830,191,037,747,
558,531,648,583,683,960,872,138,049,407,993,582,816,516,872,824,561,641,556,
325,356,814,175,739,181,832,188,295,741,417,868,668,994,966,901,279,923,958,
108,591,257,683,321,374,934,601,154,786,951,100,537,160,092,028,219,012,467,
192,541,993,255,844,979,021,312,832,463,266,196,433,657,647,630,629,730,918,
385,873,733,360,017,781,900,391,750,295,573,289,317,340,267,455,579,155,949,
895,857,763,274,598,883,533,065,403,782,736,332,460,692,350,145,895,147,454,
614,994,717,806,181,616,574,742,515,315,255,443,201,297,468,591,934,971,310,
982,463,868,300,858,284,775,750,266,967,847,806,065,894,492,376,025,500,326,
229,279,111,524,647,476,032,246,373,833,172,604,734,042,470,303,078,262,662,
684,652,876,583,336,094,978,726,748,133,913,146,014,366,977,476,754,531,094,
187,146,998,723,121,826,287,704,635,911,854,680,213,020,062,765,550,250,545,
659,399,569,620,035,698,277,144,011,470,738,858,578,877,044,093,363,728,706,
186,812,274,107,861,069,089,885,881,424,090,841,225,055,999,187,784,334,403,
003,040,820,154,232,270,533,595,501,741,945,174,960,961,564,439,450,251,482,
480,336,787,355,619,895,194,465,527,730,166,453,742,928,068,564,537,252,053,
047,392,799,480,228,518,635,205,582,023,148,673,041,776,980,872,313,450,669,
738,866,304,025,666,148,658,896,826,197,242,561,196,340,877,451,292,826,004,
373,887,584,601,161,516,451,421,789,087,029,882,743,506,087,459,511,830,582,
766,453,332,185,739,813,310,432,856,729,513,708,553,617,033,203,976,622,900,
325,141,801,812,537,035,460,346,851,019,105,260,264,182,791,215,144,287,170,
393,165,297,054,324,364,027,672,739,812,608,100,079,662,325,744,101,042,816,
114,792,995,695,644,969,850,039,435,160,031,291,244,082,228,320,126,316,308,
532,900,275,689,513,547,924,474,515,998,174,127,634,465,098,368,910,591,580,
115,912,494,555,908,596,928,312,958,282,497,331,230,370,847,372,082,653,373,
121,467,367,723,184,664,720,499,882,026,415,822,998,200,359,729,356,768,609,
123,508,463,677,467,312,227,350,564,806,933,175,663,120,557,612,527,499,766,
935,423,660,538,561,242,223,645,231,031,301,106,038,100,363,960,202,352,003,
614,345,776,516,144,500,055,653,480,674,372,809,907,852,137,452,947,156,344,
085,007,727,594,088,371,300,457,891,629,975,835,418,337,984,193,660,601,821,
893,520,145,762,524,943,318,181,881,404,062,296,759,445,445,571,956,758,497,
289,619,701,408,070,758,125,406,925,185,998,126,046,286,241,909,562,621,455,
069,829,241,786,876,388,214,881,799,791,831,645,636,362,364,201,987,442,262,
690,416,294,173,770,090,357,095,374,932,839,704,876,878,588,027,008,792,112,
347,135,325,307,150,026,416,881,601,382,748,985,968,561,352,394,691,863,826,
743,510,128,355,066,366,499,492,629,727,560,064,305,102,143,619,381,376,242,
354,747,079,114,251,197,417,369,596,012,601,771,833,892,964,146,155,440,666,
087,058,614,364,644,662,838,844,624,112,771,228,774,210,387,424,991,860,612,
820,122,601,311,212,569,266,375,537,088,706,381,016,243,612,410,374,945,101,
856,824,382,838,309,386,677,295,140,927,413,938,056,590,149,945,864,512,491,
799,401,650,227,479,811,258,710,058,795,968,209,306,090,626,929,892,771,866,
538,699,150,930,038,790,627,226,120,298,740,121,504,504,286,422,232,935,464,
487,598,229,944,325,009,500,354,610,252,992,645,646,697,883,341,858,192,918,
916,305,410,225,865,007,342,554,475,545,078,364,820,592,482,188,879,181,074,
992,995,776,172,577,647,777,510,963,604,665,643,074,428,654,769,886,211,446,
231,540,156,557,074,587,094,970,430,282,137,002,771,149,090,408,059,333,349,
606,039,015,973,388,754,827,423,368,513,820,507,862,263,757,702,956,654,300,
947,233,446,348,206,351,977,697,931,343,762,543,336,133,327,036,865,316,226,
981,462,447,006,696,801,088,192,693,946,338,789,425,314,420,631,753,129,507,
403,378,441,223,992,118,745,367,435,737,049,739,379,411,017,535,301,322,145,
278,285,322,828,546,250,736,289,184,474,999,204,068,748,466,016,895,737,677,
446,379,930,559,251,049,589,208,920,849,538,388,228,714,166,551,455,047,234,
697,841,310,592,087,723,165,114,190,848,285,990,186,680,625,570,368,974,402,
729,634,351,944,493,204,376,606,250,898,017,220,704,154,817,246,150,587,359,
874,332,184,661,562,176,513,550,494,668,310,573,048,088,297,499,180,960,143,
178,685,264,501,354,369,995,330,804,851,490,943,145,609,012,791,315,014,567,
644,126,199,161,538,049,132,312,197,317,653,168,268,699,323,701,025,945,480,
294,964,571,743,106,811,545,340,470,752,482,309,413,620,636,620,815,540,811,
481,404,210,941,501,985,786,297,560,943,608,784,118,486,576,783,185,823,844,
764,043,478,311,723,740,570,333,442,536,993,412,152,886,073,413,627,818,380,
514,376,611,647,085,127,143,950,333,794,126,003,851,721,527,091,700,231,243,
578,326,848,707,272,315,142,240,414,846,521,430,884,593,886,274,406,124,590,
433,719,776,272,582,594,778,686,326,551,157,297,433,209,047,301,308,841,922,
505,590,950,754,443,822,813,994,815,831,695,735,836,455,708,733,200,397,681,
067,279,786,676,197,273,319,357,631,180,195,193,599,187,196,184,128,976,650,
745,714,744,358,395,326,550,725,218,269,116,458,864,522,140,899,997,873,217,
959,874,013,841,689,709,640,829,031,021,236,130,455,424,440,470,930,137,519,
308,725,948,995,693,911,278,813,877,538,725,643,881,287,608,942,467,763,243,
201,856,115,846,716,571,390,210,827,251,279,256,106,144,735,594,381,488,455,
167,527,957,745,271,877,479,141,179,547,318,301,427,725,697,653,863,792,508,
712,596,569,578,972,365,969,627,673,713,777,412,355,220,719,186,638,676,924,
667,267,198,655,898,007,268,314,475,429,898,641,263,708,209,076,670,715,070,
608,516,487,164,899,939,662,224,194,950,710,066,789,201,579,378,349,466,818,
013,750,882,217,417,393,030,508,188,600,456,662,304,269,620,142,989,968,518,
775,056,012,096,936,875,022,480,319,892,890,524,788,337,799,965,052,520,465,
901,162,925,708,420,355,707,155,088,785,275,950,653,782,977,997,409,799,569,
984,546,596,594,580,640,714,299,714,837,388,878,659,210,622,101,097,388,956,
009,375,362,033,841,252,488,244,318,464,122,809,704,573,556,703,685,966,294,
174,491,912,934,498,933,663,635,112,165,478,365,003,876,062,798,543,879,394,
916,069,771,865,895,163,016,316,267,596,697,327,271,348,620,567,430,574,442,
384,814,151,262,708,069,465,463,632,851,431,524,060,421,740,062,793,813,264,
018,842,416,257,041,527,012,534,932,723,362,079,524,695,220,059,934,421,355,
316,971,622,180,824,965,724,953,663,305,862,066,680,850,088,862,499,688,696,
105,134,404,723,941,215,844,042,279,108,053,794,676,294,481,147,493,353,962,
799,013,320,915,085,284,278,143,272,342,885,400,578,264,053,587,055,358,634,
270,661,530,796,332,365,941,131,430,823,244,902,243,485,652,264,659,597,646,
114,986,335,208,465,001,026,972,732,033,410,544,757,302,196,144,021,091,287,
937,536,025,191,409,794,321,846,698,642,189,258,435,762,080,870,832,587,359,
983,190,299,622,482,989,044,377,103,776,583,174,159,649,678,080,766,216,268,
668,544,246,156,354,978,878,478,346,419,899,407,928,650,713,050,156,816,596,
072,712,762,813,007,522,426,198,687,522,132,213,986,329,973,591,309,653,570,
502,082,035,710,246,261,508,976,135,843,892,759,592,872,091,135,683,135,569,
668,127,249,035,918,703,880,868,565,656,149,480,391,809,755,875,938,814,789,
741,668,126,687,709,746,828,429,800,803,058,582,781,595,072,998,793,439,213,
795,463,371,696,279,890,755,580,923,444,247,230,777,823,424,044,227,503,732,
908,406,529,941,894,008,433,925,431,476,667,583,568,238,747,157,527,420,615,
058,812,173,707,858,583,702,561,956,862,415,496,282,680,652,528,334,812,331,
541,489,135,844,205,243,775,279,546,244,065,282,779,994,743,520,258,726,624,
468,160,482,519,920,771,201,323,167,089,777,856,486,905,538,732,204,031,802,
996,945,816,061,210,259,792,530,296,847,419,799,693,766,989,400,679,652,801,
586,171,600,698,502,331,665,159,878,372,755,244,250,732,147,206,303,148,618,
604,832,557,486,477,285,155,395,596,878,150,442,600,398,874,153,344,419,326,
523,254,501,323,217,744,749,665,167,805,693,713,651,343,299,861,293,070,998,
889,413,096,173,905,656,113,327,461,616,518,252,096,892,824,980,801,583,789,
214,418,395,491,339,240,290,739,996,420,164,304,655,286,461,278,270,228,325,
491,268,802,524,652,886,671,437,850,245,005,577,606,350,957,531,154,435,720,
208,541,797,483,195,231,672,759,793,441,448,882,820,224,383,908,379,933,909,
051,407,173,722,954,138,235,731,309,610,660,863,408,086,007,326,847,408,748,
145,422,339,187,207,133,989,137,341,067,069,986,325,242,667,224,562,943,546,
423,897,523,774,565,403,060,628,394,945,295,061,910,683,999,374,074,202,208,
337,172,758,355,345,864,331,574,826,989,622,341,247,861,980,216,479,380,969,
619,335,360,195,422,901,349,171,560,683,433,171,312,311,768,069,781,274,233,
828,420,533,019,087,876,416,568,953,609,032,970,626,159,312,868,514,748,859,
940,859,874,882,430,217,484,214,128,882,409,945,008,690,046,459,052,040,936,
145,602,037,880,341,249,798,447,436,951,970,705,516,784,681,314,707,623,594,
936,398,741,846,623,484,788,258,808,699,526,435,559,081,853,537,339,986,977,
703,428,245,498,750,920,221,252,471,463,142,416,178,358,528,486,120,151,218,
496,331,623,048,096,244,554,488,578,313,275,355,897,340,294,312,278,011,339,
178,159,081,430,170,767,100,448,310,004,682,466,177,904,010,721,373,842,928,
887,483,896,429,139,660,200,857,769,887,214,175,509,134,862,616,053,149,748,
122,937,951,996,020,227,186,147,576,770,457,678,406,648,866,942,741,765,288,
731,685,674,564,076,627,736,185,144,142,248,452,194,559,511,858,345,200,074,
749,165,614,058,139,158,291,573,023,636,041,482,465,087,057,135,233,221,895,
464,917,658,098,360,214,303,386,599,265,432,533,583,981,439,550,990,854,299,
721,619,177,860,274,847,796,228,297,690,416,761,898,408,661,925,431,341,084,
128,810,448,526,629,360,818,600,376,041,646,229,744,983,516,274,207,019,495,
191,648,745,549,644,469,115,580,979,349,775,173,670,926,907,811,700,242,039,
690,585,869,841,371,927,358,098,074,413,785,746,236,090,646,107,730,071,155,
496,622,157,421,172,055,567,457,388,574,406,575,448,319,622,814,970,188,488,
255,670,462,882,471,777,120,803,672,013,473,558,049,959,768,939,122,100,281,
640,942,783,354,191,935,037,883,757,037,715,923,880,757,823,017,797,348,370,
981,855,862,176,072,063,833,695,062,616,552,927,059,615,046,845,854,600,285,
758,030,520,157,054,001,388,129,817,995,070,510,142,348,012,234,664,853,938,
850,280,860,258,621,700,531,294,794,044,265,847,167,255,684,181,039,544,151,
131,866,862,354,455,708,117,111,534,165,217,400,675,001,070,985,874,394,159,
274,423,533,105,106,616,777,509,214,827,720,697,172,911,131,879,390,551,726,
194,171,251,022,668,183,192,598,041,733,906,579,002,346,171,163,101,471,957,
651,274,642,536,038,930,685,982,799,476,350,807,325,917,789,548,483,096,385,
236,621,831,558,029,682,376,042,873,023,857,037,084,904,496,432,229,226,126,
141,804,966,145,346,925,818,787,000,594,883,522,944,172,862,440,048,578,296,
971,178,131,205,210,490,834,458,759,927,041,208,499,934,582,773,225,345,236,
398,242,725,972,412,695,003,771,696,673,313,310,873,077,097,869,006,592,010,
416,224,046,876,386,221,143,976,433,046,148,625,584,071,809,095,809,047,801,
941,019,328,163,443,506,724,714,315,331,800,032,630,265,037,751,527,238,563,
601,058,223,555,289,828,750,841,798,413,114,804,687,733,765,704,458,423,431,
406,696,877,517,655,373,640,836,710,815,873,623,337,934,098,625,569,123,634,
827,970,475,224,313,104,106,827,523,698,164,846,721,086,238,686,054,503,960,
771,964,862,465,827,176,286,650,985,605,907,226,177,251,452,131,716,552,738,
230,019,730,754,125,959,719,416,475,641,513,847,038,453,718,701,185,928,097,
870,877,474,705,015,769,534,702,347,513,469,701,410,453,620,215,612,498,139,
158,514,410,685,910,690,036,643,099,571,965,836,909,596,111,302,498,182,355,
517,685,632,777,650,078,743,565,003,601,059,210,186,772,215,858,020,114,475,
416,350,268,939,664,529,102,370,292,804,527,678,936,091,116,917,064,304,042,
214,118,013,705,428,950,390,774,031,312,256,382,719,852,551,915,899,652,787,
978,172,430,208,807,184,332,318,972,024,149,257,143,221,184,319,513,909,713,
833,596,017,396,339,567,586,492,663,029,532,068,049,820,436,172,948,938,598,
592,597,890,145,669,631,109,127,109,995,110,031,199,869,826,730,069,891,902,
765,343,527,022,139,950,230,835,976,021,933,412,148,816,792,962,564,772,923,
213,569,699,874,607,864,149,508,285,216,477,405,463,478,356,625,576,360,046,
147,690,932,935,899,842,532,382,750,515,990,089,574,676,435,809,435,698,628,
738,016,872,558,791,684,792,352,602,376,704,458,886,585,602,682,847,624,130,
393,670,199,010,899,903,646,016,055,893,416,894,919,697,462,485,477,545,122,
402,181,147,038,195,601,108,444,690,761,401,147,984,560,425,899,779,144,522,
852,810,235,205,341,668,065,506,971,891,382,571,864,459,056,926,918,417,932,
615,752,888,488,209,348,286,271,563,838,963,394,631,006,498,025,082,363,058,
919,751,437,902,230,055,730,955,981,207,446,925,683,833,685,956,341,601,893,
253,909,625,524,999,170,450,147,302,572,237,717,762,102,710,586,845,247,098,
130,734,256,504,845,470,918,465,827,164,784,325,546,554,452,226,068,432,602,
659,894,995,375,773,088,135,807,931,621,790,365,987,028,325,265,875,712,772,
074,602,766,600,201,643,726,990,917,417,880,088,695,683,747,218,979,817,640,
988,861,650,261,728,174,951,033,176,958,972,449,887,135,663,799,214,518,205,
617,629,028,228,101,619,607,845,062,938,373,356,912,834,070,597,231,606,847,
569,943,649,644,587,698,025,632,851,105,661,980,063,806,941,158,081,044,880,
987,886,761,418,697,568,417,614,842,740,617,436,672,183,855,943,717,154,446,
346,495,892,602,521,481,511,795,527,039,019,982,326,707,084,500,494,000,106,
909,098,226,987,858,100,123,782,174,290,278,845,021,131,484,589,278,887,478,
685,029,991,949,193,279,448,463,668,631,034,666,008,071,442,375,984,671,070,
267,994,861,625,092,865,801,089,901,361,747,748,235,853,300,894,923,325,512,
936,727,302,322,017,541,416,915,301,604,337,753,955,389,381,837,955,425,402,
609,508,796,365,975,520,333,491,216,972,284,421,487,587,213,012,496,902,522,
821,266,857,604,612,295,147,943,120,064,014,679,774,123,800,313,681,413,632,
035,426,037,707,134,993,027,424,198,543,234,814,945,547,489,948,235,171,004,
833,593,287,399,743,961,959,070,126,147,977,616,498,194,112,481,083,525,343,
992,617,687,606,661,425,709,509,155,652,878,531,901,669,036,188,163,577,831,
455,272,504,694,727,231,064,950,297,040,674,980,179,032,199,143,405,794,376,
028,964,119,107,931,940,289,572,842,015,840,791,471,117,477,514,216,470,927,
268,827,882,813,984,830,314,913,217,131,017,180,504,817,249,974,519,539,776,
869,379,348,445,145,309,546,787,511,587,044,046,232,518,495,836,394,005,277,
231,851,018,540,516,633,944,900,868,760,275,117,967,073,402,915,922,777,170,
844,994,773,068,164,006,032,180,462,367,747,985,181,100,793,333,648,056,717,
244,177,642,425,571,084,691,656,973,342,465,988,836,013,694,519,577,585,501,
631,776,018,938,025,388,580,918,070,807,212,485,431,591,481,767,285,105,332,
922,896,827,937,926,924,010,421,118,333,003,295,151,426,412,813,524,308,870,
000,000,032,515,746,584,084,643,893,673,947,881,854,107,804,323,848,602,684,
750,476,009,495,827,727,478,085,515,200,876,994,131,780,279,034,165,528,144,
988,796,114,592,457,315,491,366,465,682,903,409,295,975,751,629,210,134,755,
846,201,851,128,719,104,442,259,083,703,173,582,108,181,850,311,581,467,289,
985,184,346,558,953,473,760,614,228,090,949,194,852,185,488,681,863,682,665,
847,265,450,508,630,764,933,175,923,931,335,693,851,033,917,288,590,875,241,
308,292,354,604,407,651,787,611,118,826,113,420,696,655,399,250,973,152,591,
959,220,845,372,650,504,255,097,835,715,034,320,259,980,449,818,650,255,130,
089,897,908,408,021,340,672,448,435,348,142,665,176,545,497,365,742,712,813,
360,717,657,537,105,090,416,602,111,908,282,391,360,787,528,614,973,403,850,
412,164,965,553,366,383,419,679,762,841,657,513,358,142,308,905,251,496,336,
330,808,681,424,225,849,732,428,828,275,157,086,090,247,469,862,975,503,281,
366,486,218,954,229,855,316,294,923,282,145,115,406,482,139,697,474,643,045,
458,353,592,080,964,357,437,190,032,812,607,224,180,085,570,203,825,141,291,
321,721,535,990,983,006,924,765,553,376,681,596,527,437,456,063,132,228,340,
238,638,172,376,040,219,690,656,681,650,280,918,221,396,715,082,013,601,167,
099,890,437,329,869,274,895,233,877,459,591,680,805,175,478,578,475,038,628,
640,490,264,040,966,675,843,230,116,363,853,851,358,513,077,317,291,175,685,
237,144,732,934,043,538,515,776,442,410,551,307,719,647,057,487,333,678,786,
737,283,668,136,771,521,133,747,515,749,563,941,979,472,652,132,040,577,642,
008,587,403,385,219,305,804,456,633,637,223,732,930,735,086,294,269,486,561,
682,349,514,907,609,915,279,504,218,158,382,250,162,785,271,299,074,269,709,
887,188,688,406,706,916,877,552,034,050,107,832,752,663,672,823,373,315,101,
450,882,699,264,297,677,432,345,297,568,707,928,830,755,859,543,222,152,175,
590,063,368,877,959,060,909,771,693,817,587,094,066,719,864,974,493,162,307,
096,826,929,164,272,274,645,605,097,180,787,650,912,584,122,708,490,613,255,
964,253,717,118,872,025,575,062,099,230,282,622,520,555,804,660,423,692,716,
383,122,828,230,124,397,830,966,188,618,620,825,135,131,732,145,308,066,099,
171,497,439,705,488,208,381,275,577,503,753,376,203,285,746,035,342,929,553,
497,013,435,029,427,066,437,291,188,919,029,614,076,246,621,667,063,567,052,
622,538,168,405,089,377,789,343,161,496,122,301,283,137,730,725,684,539,365,
175,049,140,899,588,904,549,999,373,647,894,934,273,799,847,948,198,307,782,
095,709,945,132,563,733,616,355,491,021,197,692,673,450,805,298,236,207,612,
062,497,212,688,820,990,796,453,323,220,978,200,650,791,948,408,437,896,673,
740,895,302,561,180,219,144,236,148,676,954,451,058,677,594,690,721,773,835,
146,774,364,022,534,330,879,731,673,293,226,626,965,809,827,489,816,602,028,
980,164,149,001,791,487,718,318,364,929,659,011,991,800,126,878,578,316,373,
005,761,665,028,276,130,644,604,999,262,169,179,666,130,362,797,203,636,266,
001,715,716,482,046,965,662,160,736,204,885,639,469,788,869,194,168,420,768,
772,192,540,909,914,599,956,928,919,520,656,778,576,121,353,587,917,330,699,
618,132,503,470,514,502,083,081,672,688,438,553,037,822,845,818,557,535,449,
668,959,384,516,843,951,948,778,894,505,139,404,540,724,134,574,347,621,298,
881,555,132,151,141,647,065,131,355,610,628,331,269,491,572,192,816,544,360,
356,527,108,824,505,550,933,455,967,683,916,953,025,569,426,061,231,076,662,
848,833,596,243,426,964,008,133,322,967,861,932,985,380,451,679,245,956,495,
835,140,792,564,348,090,613,183,644,100,552,405,160,296,225,840,002,978,957,
030,959,973,338,766,510,689,350,605,520,395,494,601,700,231,381,412,992,716,
956,015,959,536,273,885,610,580,594,667,335,983,598,050,936,449,865,111,391,
747,941,382,844,138,443,995,509,190,139,522,848,848,174,167,818,900,911,351,
982,140,165,842,590,649,303,169,378,363,873,682,743,067,778,417,792,020,698,
291,308,926,372,375,428,477,403,660,979,970,446,244,196,933,351,826,160,939,
090,457,269,715,103,390,284,100,742,219,880,529,364,912,601,802,834,486,995,
481,599,592,032,533,680,945,091,822,465,149,658,833,643,196,958,210,993,446,
557,748,774,697,470,267,729,524,198,174,256,787,087,022,249,463,995,392,442,
742,974,151,638,624,795,059,846,056,575,684,826,763,735,452,797,401,823,957,
595,373,755,039,262,270,182,843,393,365,789,037,428,155,736,087,907,989,456,
041,574,863,417,490,853,375,198,818,752,256,705,257,585,047,986,384,095,017,
557,772,258,655,855,378,834,096,122,226,838,491,954,721,914,292,568,131,980,
279,098,786,295,337,800,193,775,076,898,285,078,855,220,808,072,208,919,404,
747,242,761,280,017,144,592,942,463,967,291,665,134,802,964,191,060,653,642,
447,989,432,726,697,341,659,033,697,374,120,628,213,191,826,650,050,670,150,
954,611,216,759,850,224,222,640,934,221,867,512,164,379,143,321,197,067,849,
629,348,544,959,332,183,591,538,815,592,181,622,986,184,070,445,943,473,954,
280,042,352,269,511,605,184,711,271,224,351,847,084,242,493,411,016,070,334,
957,774,106,883,377,831,736,253,711,206,416,290,781,921,423,201,077,784,447,
346,826,440,670,374,840,883,536,715,746,182,939,085,559,753,571,690,089,460,
914,099,721,264,769,769,941,851,983,193,090,977,894,332,182,341,964,782,080,
100,809,350,016,324,364,754,125,152,415,199,691,971,682,849,769,672,700,463,
897,172,032,066,518,027,013,007,890,410,611,925,179,664,585,052,889,832,029,
794,794,151,951,206,426,517,450,172,789,958,894,869,716,363,978,563,173,116,
592,858,291,906,152,608,163,401,796,316,761,062,089,699,514,562,023,345,271,
996,316,687,487,459,059,436,378,423,443,894,415,475,354,229,521,011,356,821,
481,113,995,303,384,070,828,908,340,610,822,538,795,540,742,321,786,272,767,
471,057,619,357,943,730,411,569,961,522,252,153,216,728,490,250,921,896,613,
029,550,826,643,266,250,958,402,363,019,304,843,424,787,436,883,232,284,977,
964,049,044,100,923,589,911,181,488,164,697,781,262,754,235,923,039,180,844,
146,913,386,241,113,068,913,426,917,523,191,160,988,429,637,165,002,761,260,
536,073,834,461,864,037,539,021,559,386,504,943,081,120,637,438,918,354,899,
179,704,674,990,390,553,257,869,615,826,729,018,012,864,182,177,230,537,002,
714,758,685,672,671,138,989,643,632,274,880,254,084,572,816,947,660,361,360,
236,902,138,735,889,040,870,488,231,895,895,784,497,241,640,738,480,909,127,
822,039,338,785,277,627,963,788,015,469,741,624,481,624,366,881,759,463,825,
170,509,430,420,747,052,869,487,315,772,020,893,822,269,545,776,755,132,316,
747,772,109,760,110,384,959,462,723,044,969,703,732,001,390,845,854,205,308,
860,824,688,125,436,555,650,736,835,443,352,168,520,300,534,216,346,014,006,
225,292,400,347,932,275,206,947,014,287,681,629,229,520,492,132,680,091,629,
360,107,520,853,149,737,253,874,916,280,852,115,527,747,287,349,552,210,375,
315,160,761,872,721,421,578,013,853,526,962,553,320,655,410,325,034,877,872,
228,465,046,709,220,913,953,685,126,798,680,438,548,228,779,406,327,358,176,
133,513,317,654,966,740,584,827,034,918,775,011,158,965,021,016,895,417,798,
809,183,535,951,811,065,951,987,873,812,417,440,272,884,389,091,566,285,892,
009,094,274,435,382,280,771,150,052,225,852,823,387,536,308,049,455,076,593,
012,686,265,050,670,111,345,773,947,768,221,424,414,528,060,041,752,033,524,
028,955,781,948,321,783,235,078,680,281,742,356,948,785,380,000,263,229,019,
467,547,791,700,791,977,925,027,809,665,330,079,688,918,180,612,993,642,530,
308,368,820,406,864,747,079,525,909,596,377,892,080,378,732,250,434,596,062,
725,560,407,552,686,853,940,801,870,098,998,552,703,556,355,210,239,581,406,
875,338,208,477,289,210,850,850,732,357,480,292,754,686,131,182,818,032,738,
368,349,787,349,993,574,763,563,334,086,608,809,399,866,996,291,286,323,037,
875,563,453,158,373,011,633,601,343,798,705,376,265,067,841,244,724,023,613,
827,684,559,758,563,621,905,687,940,903,798,035,262,951,942,606,577,408,473,
670,014,879,069,944,654,275,563,079,202,838,788,516,738,096,350,833,506,337,
813,799,276,122,466,320,228,065,272,520,750,804,817,697,768,115,769,098,485,
138,376,157,967,745,365,373,822,385,796,816,245,110,652,587,906,381,412,270,
459,663,881,359,916,694,720,597,990,241,795,426,706,831,798,116,352,472,392,
140,097,543,380,170,174,615,027,723,605,804,131,403,932,155,258,352,793,408,
449,267,249,064,015,150,161,302,744,505,406,926,905,347,197,549,263,385,786,
291,027,503,904,452,165,710,943,437,933,709,478,561,555,226,451,571,640,836,
600,187,272,631,254,733,637,198,327,992,072,571,035,757,209,098,330,331,081,
404,606,314,997,146,285,008,984,395,527,589,700,548,041,111,788,765,542,189,
631,985,296,069,212,590,399,157,431,530,635,967,296,080,333,592,433,260,794,
851,760,275,400,260,955,895,624,938,077,433,413,167,616,386,625,211,063,224,
292,373,125,693,092,472,869,222,431,356,503,747,852,945,006,280,910,136,935,
566,482,497,665,402,114,163,331,822,125,769,553,047,393,277,928,917,174,226,
768,623,101,845,978,473,942,196,034,054,056,448,388,388,135,826,677,936,763,
951,208,021,836,353,943,897,424,715,149,612,216,181,682,400,649,808,509,891,
307,002,309,797,528,109,587,406,918,301,762,736,043,585,599,019,368,500,906,
932,650,093,003,647,201,867,563,900,325,164,399,859,068,604,531,842,127,199,
561,655,195,301,335,995,762,739,321,060,438,623,876,175,597,254,124,744,952,
824,287,216,014,593,702,821,679,513,653,665,396,316,234,425,343,573,334,314,
738,283,631,298,771,752,699,630,664,490,006,659,530,528,906,540,727,863,614,
769,998,140,727,139,191,238,998,634,444,267,613,916,375,359,360,802,728,029,
858,923,202,929,503,974,669,234,040,508,058,622,160,464,228,086,072,966,870,
636,599,445,687,006,602,146,657,080,042,018,159,800,213,859,530,103,641,400,
983,840,614,853,559,356,195,887,088,347,619,473,163,479,458,840,395,013,012,
718,781,639,447,287,233,673,056,075,731,937,626,101,464,522,373,645,875,152,
578,803,002,529,756,054,058,044,337,695,564,848,741,023,394,042,128,590,605,
872,069,868,930,617,468,820,913,506,864,828,108,578,207,937,650,708,161,354,
188,243,067,775,618,573,691,553,182,181,977,213,593,983,814,596,044,055,955,
016,784,115,865,687,020,262,639,295,830,770,572,411,970,423,551,521,658,774,
452,697,991,079,947,380,708,126,813,490,076,297,606,931,551,140,051,469,338,
622,546,546,744,024,079,681,163,985,589,665,976,326,902,671,079,272,651,992,
617,953,754,846,377,735,272,561,321,005,865,287,616,575,180,303,693,771,001,
783,772,564,359,475,654,100,811,672,966,232,248,053,941,189,353,964,995,961,
816,240,620,886,265,184,469,037,934,573,448,584,113,262,826,985,410,414,824,
003,944,853,833,388,933,684,398,934,385,297,000,071,379,779,401,996,161,414,
006,116,615,576,054,211,473,742,809,469,786,625,227,126,470,193,374,605,171,
296,400,160,171,411,146,801,658,142,092,033,026,542,496,804,352,459,864,394,
779,539,063,721,607,319,512,804,604,241,770,111,319,450,121,918,434,904,867,
388,307,687,782,774,130,102,455,547,305,607,766,174,316,301,484,899,923,090,
843,506,716,878,858,146,348,215,730,288,626,757,588,245,131,798,318,229,281,
654,170,250,888,594,301,111,287,793,362,905,856,313,300,729,288,412,558,967,
875,137,260,238,693,704,668,066,978,874,210,513,011,333,671,782,375,421,627,
953,428,527,872,810,580,179,208,468,695,934,992,946,522,956,096,012,464,928,
128,474,163,955,952,394,957,078,070,909,036,019,264,474,663,869,463,625,191,
362,005,341,205,038,296,539,097,015,190,028,661,133,040,313,183,205,891,080,
255,837,720,756,083,667,111,921,677,031,122,027,843,033,342,002,413,514,658,
379,988,329,422,368,303,601,446,665,864,065,016,694,544,955,942,999,407,218,
732,896,201,338,800,250,930,482,482,144,170,702,100,456,163,132,002,444,266,
441,951,458,317,497,345,100,314,029,747,184,229,519,510,916,017,441,853,301,
004,910,269,651,630,847,888,812,088,252,606,630,720,015,532,308,356,707,497,
131,888,336,179,828,682,090,124,729,063,923,116,137,837,075,639,420,695,335,
136,926,754,866,852,808,731,216,654,918,529,560,980,211,128,836,181,907,508,
352,783,381,556,044,617,320,966,201,291,421,409,846,750,157,894,567,866,634,
054,198,250,876,644,554,231,202,946,861,897,741,573,346,718,449,817,948,116,
668,856,501,773,361,118,779,525,670,101,687,460,990,386,847,229,856,612,789,
750,018,800,232,433,250,775,252,242,868,595,097,883,841,959,493,845,839,706,
519,100,437,178,608,250,014,160,940,880,000,365,161,243,327,892,422,896,168,
875,934,508,020,143,273,910,220,653,899,455,157,896,937,679,967,436,734,939,
200,523,056,096,286,510,416,447,603,447,019,183,734,671,683,088,407,210,898,
474,987,420,785,575,929,409,087,680,114,868,791,077,340,833,447,431,811,460,
737,152,092,765,441,677,154,559,167,650,467,422,186,511,168,480,512,942,521,
446,397,780,876,865,382,814,513,026,901,088,101,794,470,840,200,256,448,491,
190,421,185,709,706,422,000,587,842,457,330,294,802,306,494,691,926,889,383,
487,392,780,817,364,994,340,741,245,925,762,751,672,378,550,166,140,970,348,
216,427,268,702,535,146,448,030,534,396,474,818,464,590,497,635,390,089,648,
357,303,796,991,941,932,499,239,549,360,691,115,199,797,022,600,880,514,922,
227,573,935,670,598,708,662,165,757,390,860,844,469,465,723,247,566,940,121,
867,010,489,231,023,425,492,723,706,975,824,335,480,731,514,573,494,898,354,
281,921,679,310,928,893,396,240,264,740,745,655,674,465,979,905,480,771,564,
699,337,625,455,521,392,883,987,061,026,092,409,395,377,709,384,514,361,481,
120,422,110,323,116,046,306,589,109,882,336,632,117,111,194,564,949,312,357,
673,374,565,718,566,479,810,242,495,616,453,534,065,045,603,843,514,411,817,
568,892,589,458,550,035,012,141,079,337,944,509,800,734,610,129,991,482,034,
552,492,574,334,570,143,567,524,353,474,538,388,438,723,978,604,950,256,119,
293,139,041,115,202,674,611,403,010,927,098,334,936,454,927,642,626,651,873,
014,879,872,647,025,108,439,946,390,054,950,840,068,327,563,614,980,107,353,
544,082,761,048,005,925,762,896,829,756,499,490,910,420,580,137,985,496,419,
816,747,991,392,118,248,505,784,638,084,807,425,649,655,075,393,484,688,234,
513,164,498,908,081,655,328,648,069,685,014,301,974,616,752,962,651,561,926,
669,231,720,278,207,477,163,728,374,670,000,468,694,913,347,791,383,594,634,
956,700,847,212,467,018,012,344,408,915,550,049,620,600,718,270,345,611,501,
116,357,421,700,747,853,967,182,710,827,143,973,664,452,836,643,072,461,769,
068,383,574,857,197,745,367,518,587,086,690,264,361,072,149,437,922,089,780,
009,198,828,771,187,919,369,295,933,985,004,269,143,343,336,327,130,152,047,
855,405,777,532,144,528,743,841,193,912,681,214,459,621,164,589,520,474,021,
008,028,609,791,539,078,925,461,447,015,447,315,474,557,068,260,024,131,642,
818,094,051,302,847,331,612,311,774,730,328,610,600,386,105,989,242,234,892,
156,661,365,922,003,629,607,159,419,276,273,259,261,074,585,534,027,181,448,
887,595,001,903,291,305,989,887,572,285,772,479,562,264,886,174,125,915,295,
402,367,891,009,639,040,818,831,360,854,317,397,290,413,375,085,116,938,970,
426,971,594,055,167,506,742,694,836,666,587,235,178,345,721,120,838,242,262,
221,574,326,939,410,144,774,903,875,219,921,427,060,177,119,365,571,950,580,
005,039,069,993,420,839,271,031,887,479,267,126,416,703,781,957,949,056,521,
901,924,951,004,213,547,419,956,350,712,463,227,472,705,480,076,885,268,544,
648,136,947,154,098,406,618,130,722,027,458,111,177,853,834,726,425,314,796,
594,596,640,436,307,839,964,370,253,229,413,408,448,959,840,798,331,917,317,
568,879,349,186,600,806,845,849,704,541,891,134,362,076,069,184,935,842,452,
298,576,629,378,945,912,736,204,781,524,753,639,699,020,661,157,636,719,654,
543,462,439,517,040,991,836,893,378,972,545,009,569,060,620,971,321,934,074,
278,492,914,849,749,421,705,100,340,583,077,628,565,173,877,327,837,785,102,
761,513,684,891,661,598,208,633,645,669,892,707,763,973,582,337,698,747,793,
960,873,677,213,871,161,612,848,841,704,035,982,079,706,834,528,864,542,092,
842,175,602,837,256,891,910,100,699,571,975,757,699,720,634,369,689,662,203,
189,814,320,802,311,845,030,848,770,808,752,108,705,681,116,880,373,299,363,
056,133,740,040,272,495,542,114,886,455,484,079,908,635,254,284,404,949,931,
141,286,809,938,376,913,477,604,664,697,747,055,853,510,676,267,990,798,234,
769,423,286,812,227,116,676,152,932,228,099,835,937,264,250,063,781,039,330,
742,974,367,762,438,247,898,876,336,831,857,996,068,386,536,032,612,650,322,
080,270,204,279,183,186,066,389,522,053,992,841,790,233,118,197,039,702,305,
888,982,605,939,095,315,857,293,625,433,987,607,014,164,246,777,949,030,988,
925,350,865,333,589,268,142,749,094,267,234,775,954,793,621,268,083,463,478,
333,622,399,550,835,603,113,787,347,423,089,294,671,432,334,403,502,998,859,
391,375,526,653,963,538,887,804,876,202,505,808,531,319,357,165,750,581,166,
944,503,708,825,739,025,228,730,164,082,825,939,907,037,641,036,091,900,131,
406,403,858,355,991,536,860,507,628,477,218,638,846,039,182,758,889,995,664,
326,091,696,905,162,080,553,725,548,394,357,284,670,999,391,019,732,662,997,
370,238,277,007,914,649,135,603,658,493,491,794,662,617,740,220,179,135,580,
905,757,728,827,382,095,543,426,771,419,691,780,119,182,616,252,840,248,535,
551,315,637,191,399,189,260,651,129,791,108,587,765,581,028,671,557,089,455,
257,210,955,306,489,539,914,749,994,292,361,446,203,954,663,729,177,290,986,
819,467,181,790,319,377,562,564,803,977,433,257,157,762,373,724,404,108,124,
546,056,902,679,858,761,882,586,226,276,824,611,738,694,877,803,003,357,257,
980,468,380,429,565,996,377,584,410,959,839,121,868,912,593,677,900,437,544,
333,824,345,094,047,619,967,778,232,722,564,638,869,959,910,675,387,246,793,
080,472,787,134,586,972,581,263,144,586,507,109,513,697,970,326,830,714,664,
516,468,756,398,134,704,935,940,559,116,373,384,742,243,003,967,024,805,119,
209,151,228,917,456,209,693,750,883,555,780,820,560,037,260,511,050,329,492,
768,543,186,503,024,389,991,207,356,105,340,358,030,893,466,679,737,334,928,
761,810,987,593,565,110,736,806,848,629,691,204,470,251,608,348,003,402,016,
146,127,058,622,136,879,692,841,779,937,061,791,873,251,210,171,928,306,166,
492,495,214,162,966,152,751,135,703,035,670,407,960,779,217,356,440,934,593,
218,768,541,627,245,445,860,537,994,667,810,136,643,774,819,466,755,192,867,
893,500,012,998,534,301,664,692,317,116,457,338,721,806,036,236,265,902,330,
243,587,854,140,065,276,368,781,701,795,130,660,742,737,653,740,913,114,808,
583,355,407,761,479,777,074,767,209,625,752,602,219,578,759,584,899,017,450,
174,729,284,594,160,814,409,247,207,179,980,727,276,553,571,749,394,651,927,
950,082,398,580,929,648,379,197,030,930,999,753,278,184,386,592,832,359,348,
101,930,195,722,032,305,729,818,897,864,643,604,470,733,085,692,988,653,734,
430,251,651,276,227,894,718,254,372,737,379,753,130,482,777,198,587,269,238,
072,708,609,871,151,116,859,670,920,572,069,716,717,958,473,241,175,426,366,
768,126,690,970,151,046,946,441,349,361,601,823,250,702,449,199,264,778,134,
053,962,413,720,537,122,926,257,712,828,019,959,640,900,143,617,106,345,260,
364,476,566,347,543,453,266,345,926,342,766,088,814,955,083,722,337,497,454,
111,219,243,728,210,433,331,490,193,083,510,337,904,678,196,083,157,908,157,
721,142,632,512,112,498,727,588,641,092,955,704,983,839,885,411,388,329,166,
134,628,460,275,958,606,449,064,275,564,137,489,824,010,967,698,380,638,990,
717,590,846,012,088,009,990,219,388,453,185,136,093,286,856,407,400,092,903,
101,185,268,800,149,125,197,864,145,523,789,836,758,944,909,612,221,402,067,
688,397,609,442,153,786,242,127,501,193,208,738,157,914,394,050,747,853,713,
943,701,783,608,803,528,777,627,688,963,920,467,143,243,593,340,608,131,020,
938,550,902,325,429,399,781,808,920,926,061,297,044,211,868,788,988,504,319,
255,914,307,639,600,004,979,077,936,961,608,650,626,549,378,671,143,413,087,
635,772,203,090,785,432,731,615,004,502,451,765,200,609,310,373,126,609,880,
472,292,444,186,416,605,400,450,112,268,480,143,134,740,318,918,380,561,631,
508,784,830,542,450,177,192,470,233,294,215,032,090,047,669,449,746,500,140,
967,702,659,628,735,371,098,911,848,796,788,953,674,898,009,499,775,874,776,
595,536,106,251,647,891,122,173,140,079,825,593,164,775,271,439,919,436,399,
080,148,701,880,791,875,855,580,017,391,234,017,414,544,240,628,910,122,414,
277,830,421,882,137,013,248,863,716,765,174,795,247,847,329,631,178,338,982,
998,203,788,205,182,103,194,542,808,117,530,567,491,957,661,050,262,350,817,
375,309,418,309,159,232,376,392,555,091,944,186,792,150,133,621,814,169,712,
635,290,451,527,403,717,309,496,916,439,265,999,207,003,500,495,404,651,876,
553,945,094,353,932,891,996,564,394,208,525,685,847,196,460,159,757,489,302,
406,714,890,421,499,835,967,066,827,797,805,788,285,292,299,585,337,442,247,
100,047,590,938,618,608,890,495,225,401,056,634,886,463,848,047,743,289,073,
487,859,625,566,236,649,590,842,160,253,755,346,203,509,383,441,667,827,641,
429,184,529,673,249,617,996,288,636,414,574,748,051,932,620,269,398,471,853,
583,223,152,030,112,884,433,452,615,602,161,468,718,315,249,970,674,457,075,
947,195,231,679,158,247,815,148,295,848,369,296,612,289,972,212,104,945,482,
650,130,076,487,524,378,254,149,740,663,427,764,585,333,766,664,741,395,272,
879,765,698,131,410,085,867,513,812,877,024,449,615,130,635,084,795,091,109,
248,754,391,487,472,950,647,929,275,692,062,586,230,966,214,082,651,126,553,
442,746,148,614,601,065,139,393,112,063,865,899,141,053,203,830,447,697,989,
631,784,968,458,697,412,778,931,011,481,972,365,205,358,002,130,757,061,551,
383,551,108,874,758,466,762,715,466,356,153,417,720,336,044,709,474,182,692,
284,393,055,411,513,714,604,403,984,537,339,253,152,797,329,773,409,617,631,
575,179,310,208,968,076,629,011,603,006,400,830,718,923,517,881,959,110,956,
797,161,439,615,739,411,852,901,581,808,864,214,123,904,345,051,646,710,757,
033,425,518,378,862,309,255,343,750,903,180,490,851,004,996,123,444,861,045,
651,678,340,556,334,791,999,437,343,479,581,659,770,219,369,757,296,849,597,
423,341,190,465,385,582,871,765,245,566,792,831,619,438,680,364,255,504,350,
353,412,900,241,247,603,563,959,957,376,709,015,110,577,925,114,218,386,201,
524,857,676,125,234,965,498,119,456,499,664,460,603,645,332,575,220,668,623,
163,274,855,698,212,682,332,430,470,621,616,808,242,372,303,295,124,425,941,
464,659,390,665,269,602,350,123,196,008,666,835,908,025,571,485,428,844,163,
999,578,595,593,471,914,127,049,951,542,275,221,689,239,980,224,024,960,393,
540,172,497,478,231,368,327,361,542,690,252,640,781,043,473,162,583,947,823,
511,746,207,634,634,178,605,694,451,555,931,798,410,275,382,275,647,769,829,
344,025,317,240,956,885,274,816,103,163,293,090,415,261,744,113,087,355,749,
374,606,618,633,052,144,860,163,727,404,270,206,226,026,335,560,221,276,387,
663,294,286,826,051,300,335,346,380,296,304,551,816,868,649,134,246,375,163,
404,794,642,707,672,193,205,696,214,232,731,314,401,136,388,091,193,956,673,
741,647,514,519,917,168,318,991,685,498,111,583,879,436,914,426,755,851,479,
215,191,350,038,885,072,734,963,874,430,923,603,764,561,258,055,403,001,157,
870,767,502,045,124,977,555,352,617,641,974,334,790,155,955,822,700,731,074,
567,324,877,734,512,151,824,322,504,345,407,539,548,105,163,812,267,598,793,
644,073,134,785,221,508,612,476,974,746,484,873,024,840,429,239,751,203,045,
139,123,918,901,988,098,043,168,939,788,307,698,034,233,895,249,763,652,095,
778,180,124,437,215,459,876,184,131,493,095,943,465,451,398,046,673,293,191,
221,234,072,121,053,075,952,693,652,613,831,660,334,714,708,732,951,054,781,
932,356,166,943,439,809,994,718,707,325,976,009,488,638,578,566,217,837,637,
658,351,254,269,632,466,916,342,470,134,144,245,048,501,061,085,134,940,712,
357,950,341,525,781,962,799,699,891,827,063,038,248,407,893,273,710,292,820,
048,646,832,218,718,974,391,079,330,886,466,863,101,272,165,935,943,701,015,
943,530,367,723,338,226,544,289,361,277,182,969,973,845,652,275,118,877,593,
702,488,958,317,273,906,224,666,132,565,707,676,185,979,227,302,938,410,520,
852,512,110,691,448,701,058,559,766,135,829,132,774,943,574,978,452,538,124,
580,965,223,997,650,045,888,792,817,007,847,885,587,427,786,191,622,902,744,
131,977,767,587,375,137,775,833,204,753,182,689,226,616,041,141,747,746,002,
070,395,513,182,513,844,973,223,451,762,092,195,479,711,632,641,018,378,588,
078,569,863,083,183,355,030,667,107,403,259,652,448,910,661,578,538,551,637,
538,023,214,741,251,396,752,247,173,048,081,572,399,212,306,223,977,255,740,
570,618,866,015,437,252,821,501,783,473,652,665,070,321,773,901,843,598,120,
640,814,593,807,771,470,915,318,182,448,685,687,292,417,431,855,098,742,167,
832,055,146,357,177,644,123,786,247,237,755,875,284,531,896,718,807,895,051,
670,462,820,358,258,344,130,329,850,367,992,526,768,816,853,206,192,654,218,
579,600,153,053,725,013,315,696,441,675,572,472,694,844,283,989,804,149,402,
247,453,937,571,293,185,222,438,456,481,038,362,563,228,156,577,425,423,635,
037,040,549,535,617,471,481,313,422,704,759,504,135,981,762,779,259,186,094,
916,684,471,307,738,666,014,402,759,792,932,662,940,279,515,953,164,794,210,
933,694,375,445,415,837,342,751,327,295,121,064,126,114,657,557,697,977,798,
578,371,780,094,963,128,946,865,765,512,982,792,189,268,070,004,333,282,752,
579,656,714,782,814,343,155,254,977,185,217,904,152,188,411,538,727,068,954,
936,542,512,001,954,167,649,224,513,402,394,593,533,974,682,789,037,994,008,
483,440,132,491,850,582,191,485,524,771,184,497,156,371,722,562,859,118,065,
464,753,019,744,346,623,424,102,729,843,202,151,571,656,695,645,186,798,205,
698,906,483,350,578,946,833,267,996,908,446,262,670,213,993,470,830,356,484,
723,427,621,332,407,127,179,608,513,645,751,111,506,779,694,514,240,042,995,
347,122,870,651,930,658,200,034,891,613,673,122,520,913,803,449,136,801,286,
037,825,609,005,031,226,451,206,512,619,433,935,532,658,725,092,623,074,033,
774,303,119,869,369,904,903,558,035,726,134,031,846,750,128,723,331,944,792,
286,841,588,080,609,538,381,275,725,213,240,549,546,290,053,508,717,276,959,
948,095,221,831,055,644,402,411,752,854,962,264,293,804,103,823,378,537,588,
684,681,511,964,975,189,235,327,530,053,166,587,236,789,962,310,506,395,544,
767,360,374,071,960,570,943,788,421,187,424,149,646,025,036,864,945,296,545,
936,296,248,786,750,363,928,491,064,653,323,634,418,882,733,457,616,533,962,
137,214,473,364,167,885,160,457,533,264,143,108,889,893,675,498,122,238,413,
419,562,080,986,352,086,738,422,538,890,190,247,882,269,427,893,107,120,318,
114,767,325,648,099,360,379,171,321,976,131,884,624,157,145,309,367,613,901,
979,830,961,877,725,002,839,404,558,120,655,939,506,004,860,439,362,819,769,
095,556,043,519,976,259,249,113,161,247,285,623,766,969,322,666,171,549,520,
764,338,962,760,014,837,958,049,475,198,574,462,432,343,900,277,057,614,424,
269,825,861,001,372,866,410,286,738,178,794,111,756,215,262,939,141,861,798,
368,570,255,917,886,242,501,498,899,650,384,271,333,050,003,922,433,179,874,
938,308,224,576,057,121,655,037,633,035,280,815,813,411,935,732,424,859,936,
875,259,782,633,091,891,823,611,253,191,712,723,793,796,717,744,869,116,890,
654,586,583,808,529,064,186,985,966,582,887,869,698,752,093,020,834,773,023,
930,171,896,815,669,038,977,605,630,334,291,890,644,944,167,464,667,869,592,
942,554,446,492,368,777,247,891,295,793,998,154,518,433,218,327,937,998,738,
519,850,543,973,243,638,721,357,810,632,622,737,813,890,684,798,415,077,928,
366,719,109,840,784,522,328,139,611,959,588,453,752,433,112,380,271,446,359,
226,443,230,120,259,625,868,895,735,091,734,307,628,583,430,866,273,005,670,
228,554,108,964,428,619,459,299,675,345,188,289,243,791,673,610,182,012,153,
517,158,688,124,761,093,785,558,483,218,940,959,585,051,066,564,898,601,766,
112,605,929,216,721,890,571,087,802,585,927,489,688,803,612,259,348,136,232,
653,703,445,857,925,803,652,248,712,091,004,235,759,965,988,787,240,071,906,
645,300,428,803,254,379,245,014,875,844,510,584,575,513,841,557,322,648,603,
375,478,606,087,419,393,158,753,157,593,875,858,067,917,454,507,858,506,351,
706,744,655,583,623,136,336,547,049,447,444,417,134,750,531,869,930,302,888,
662,113,656,180,828,156,206,701,346,786,770,810,194,032,872,174,024,776,132,
511,918,196,080,836,333,825,347,538,172,585,605,968,776,070,930,523,685,299,
753,260,704,383,581,308,201,722,489,288,577,115,475,604,498,850,614,859,544,
110,404,207,529,375,294,884,275,514,397,869,229,553,325,480,167,242,583,059,
312,740,528,543,136,413,152,638,482,441,667,784,114,171,560,464,270,292,877,
143,301,761,356,465,334,830,368,114,536,375,088,071,607,801,486,459,088,680,
510,162,186,502,452,207,853,862,967,315,322,549,590,654,547,260,635,911,660,
070,569,440,813,902,950,873,844,917,896,711,622,087,571,605,226,030,281,456,
034,987,758,930,336,611,070,174,976,120,660,844,284,232,036,871,537,067,394,
792,182,160,042,047,812,169,774,497,518,908,683,234,213,652,711,760,204,971,
535,745,195,166,758,188,956,139,076,227,147,388,339,798,771,385,778,461,791,
987,053,431,192,394,803,618,024,080,734,729,530,883,458,492,333,565,832,427,
653,195,364,435,723,944,313,031,182,441,983,788,077,811,635,906,407,956,466,
619,559,892,916,978,998,172,156,034,704,959,977,648,529,303,748,256,766,919,
291,339,586,968,334,361,352,336,271,151,681,339,011,129,219,303,261,185,095,
751,440,316,743,028,131,346,212,931,940,937,898,226,402,387,627,906,853,226,
414,345,111,159,006,495,683,571,506,059,802,417,931,731,940,797,348,081,711,
344,289,439,697,918,302,819,902,279,901,991,913,992,701,663,598,427,334,184,
162,901,862,601,334,956,866,425,992,047,455,801,347,125,613,855,771,692,429,
819,188,267,317,952,425,565,330,321,144,127,318,850,270,734,333,109,532,490,
626,277,032,740,623,840,199,560,619,591,061,396,822,844,744,824,787,904,840,
121,483,067,055,214,445,643,781,708,136,915,247,340,059,520,528,949,895,510,
681,530,954,083,877,823,854,703,591,195,920,828,499,953,439,091,379,770,712,
932,368,490,600,303,913,089,307,792,359,465,742,785,630,946,480,122,722,894,
159,551,649,278,773,384,347,781,729,142,661,125,759,627,082,759,985,147,178,
215,086,410,534,575,750,574,850,674,989,123,162,289,155,691,767,845,871,488,
693,537,617,362,488,556,285,587,335,261,284,567,471,297,154,175,307,511,352,
819,294,491,538,787,657,236,030,916,835,920,469,923,111,736,773,937,650,954,
445,974,584,350,722,909,226,375,403,396,168,182,503,159,167,814,630,319,322,
404,944,325,413,726,373,819,356,690,560,425,154,355,835,659,616,684,663,137,
647,975,307,243,737,086,029,629,541,310,129,955,742,343,517,401,629,195,314,
875,681,993,527,491,067,529,529,803,447,064,124,686,118,247,654,739,210,467,
952,237,012,825,799,218,813,003,230,371,559,036,453,433,013,599,762,383,572,
761,149,999,415,876,582,287,123,717,994,998,890,125,037,113,427,149,810,585,
876,589,584,248,333,589,605,145,947,065,367,604,988,475,826,253,722,810,534,
203,179,060,814,823,899,424,699,411,667,926,041,793,761,936,189,656,003,056,
860,142,998,961,496,781,119,661,776,667,438,905,395,763,339,253,437,468,819,
577,630,987,138,799,675,037,555,616,227,619,023,689,128,055,314,838,105,838,
600,962,358,751,288,107,391,936,467,146,433,223,131,320,152,168,954,197,513,
254,602,109,226,966,169,601,094,344,517,877,708,981,577,158,661,405,957,798,
362,696,008,408,427,164,270,319,948,420,206,552,710,489,086,695,108,971,801,
473,024,510,869,579,822,782,882,637,026,776,736,728,978,443,617,604,260,769,
369,489,913,174,830,540,370,576,250,594,004,777,581,878,259,543,172,373,598,
355,799,574,579,487,699,870,586,808,582,630,426,497,343,046,202,568,564,197,
312,299,035,243,870,996,812,259,581,939,000,819,810,309,797,872,201,989,942,
418,768,798,785,298,058,800,568,992,525,295,412,938,541,334,523,411,248,318,
837,220,553,142,998,033,933,361,457,764,807,849,491,677,041,051,564,334,991,
864,664,068,307,261,334,194,364,613,964,405,221,210,713,170,053,937,259,590,
530,658,036,185,208,016,939,287,149,820,056,060,743,037,455,838,408,615,350,
976,945,176,660,813,990,143,803,724,553,230,036,673,998,369,166,760,489,253,
696,284,303,429,934,051,531,692,525,055,426,556,240,018,598,871,341,344,763,
695,232,640,897,330,728,312,371,691,291,902,547,590,856,560,911,096,450,999,
697,655,593,664,654,099,639,858,185,813,241,737,958,732,715,106,525,354,098,
515,193,872,000,509,180,061,246,542,326,444,253,912,477,471,070,581,006,338,
386,200,848,499,849,756,829,710,534,880,652,087,360,448,826,685,496,306,571,
901,930,146,037,305,111,716,300,447,158,731,506,922,091,471,389,202,422,195,
134,049,853,778,656,969,037,187,483,066,668,856,947,188,304,656,477,709,026,
038,356,307,103,057,332,011,519,927,723,047,289,749,682,968,178,912,397,589,
491,247,670,001,178,350,466,175,665,928,816,763,954,785,851,852,950,145,099,
683,319,109,002,259,529,240,839,062,587,138,441,725,839,306,128,592,055,461,
968,559,061,789,115,305,661,649,604,069,669,380,349,015,524,769,058,734,156,
143,837,319,898,037,271,645,315,979,728,971,241,337,942,053,600,967,550,836,
208,537,748,058,746,746,567,284,958,669,675,920,660,338,245,484,391,044,868,
519,365,077,471,269,705,094,624,840,018,140,716,076,823,276,059,954,430,172,
530,782,881,216,949,468,616,512,061,878,628,445,784,348,192,508,853,786,725,
326,375,582,736,417,867,954,477,870,261,304,600,364,277,205,437,180,419,247,
573,548,162,916,161,190,292,485,065,317,031,995,368,288,057,055,506,551,803,
679,167,478,960,817,004,017,427,072,782,015,607,804,856,744,085,730,501,297,
648,860,879,233,095,624,088,049,700,356,278,569,633,883,094,998,038,048,016,
812,467,105,099,361,136,623,080,958,506,495,017,196,218,036,852,023,530,198,
832,027,089,268,346,975,423,521,952,927,728,966,686,843,349,159,312,276,028,
948,413,367,481,227,182,616,593,742,765,382,993,318,559,356,209,469,874,228,
621,721,268,742,630,056,678,253,300,956,164,235,980,031,801,511,738,364,781,
723,861,580,723,382,332,256,227,957,721,912,569,567,379,363,589,284,630,501,
629,156,210,991,200,706,037,787,147,243,252,154,659,655,400,775,171,561,685,
106,582,906,889,916,169,575,393,604,561,542,164,640,515,585,786,082,558,679,
197,904,717,251,088,298,820,543,714,951,946,488,148,938,414,702,949,566,620,
829,995,089,095,690,611,175,971,895,601,254,638,819,294,085,561,963,241,184,
237,405,269,160,587,080,251,898,059,624,203,177,791,660,937,388,456,168,787,
226,776,140,414,668,513,313,739,312,612,514,266,736,980,205,001,194,320,586,
789,584,583,309,534,338,464,640,026,332,187,752,012,174,395,689,146,887,151,
372,060,721,379,776,599,742,351,569,872,316,790,581,320,648,189,768,832,563,
583,981,704,486,974,782,531,120,500,341,186,599,597,641,017,578,962,064,411,
151,434,131,345,232,266,414,235,908,681,809,221,582,305,009,768,934,932,563,
207,937,736,802,955,950,738,365,757,113,898,051,840,774,815,475,919,287,583,
806,569,932,874,539,122,862,811,473,645,514,635,518,658,045,013,634,683,453,
371,729,317,601,297,899,875,675,393,147,360,482,918,911,418,671,166,613,712,
618,628,570,884,275,905,904,672,557,203,160,128,427,689,243,785,830,250,424,
087,755,863,152,995,021,771,228,430,031,973,940,320,993,364,312,633,500,782,
674,782,102,716,108,572,519,972,591,039,781,033,993,155,012,561,064,595,144,
709,607,590,874,210,173,787,240,729,850,375,176,904,238,934,327,594,657,305,
360,794,676,686,354,251,675,481,129,921,356,508,495,497,930,683,535,657,911,
467,965,802,747,731,797,119,467,822,233,283,937,548,927,664,003,519,778,811,
960,771,597,912,623,099,527,064,977,224,674,888,471,190,698,472,609,188,860,
375,564,961,227,250,903,352,974,566,163,212,985,956,433,657,874,719,743,254,
072,569,374,596,488,967,303,074,785,393,991,052,945,590,701,043,476,838,226,
636,626,043,392,498,122,268,623,433,049,112,357,862,147,556,479,406,861,054,
920,693,919,761,557,276,266,269,510,845,346,580,878,751,157,918,860,202,898,
858,932,399,849,572,579,849,774,364,249,514,721,701,525,725,051,523,162,937,
935,645,981,101,674,302,130,388,470,389,410,688,219,194,752,204,792,412,548,
015,036,907,428,906,538,585,258,170,417,199,034,115,138,061,896,286,540,430,
133,389,474,773,057,310,889,048,717,689,827,404,818,712,471,180,361,034,378,
329,611,370,324,660,547,471,006,911,241,958,211,237,277,208,449,453,518,536,
561,245,727,097,800,346,276,080,777,106,717,204,289,993,198,588,908,152,944,
090,600,416,960,780,410,842,858,238,731,610,948,023,718,432,795,808,036,519,
015,063,090,478,948,893,450,044,090,473,354,979,091,604,881,814,519,329,994,
738,365,136,320,389,469,726,348,583,607,752,334,549,056,464,432,469,383,757,
218,727,166,725,653,686,071,617,759,201,145,751,230,836,771,104,288,316,942,
134,634,399,221,666,674,001,092,970,530,468,427,355,644,931,608,402,155,433,
381,719,841,529,785,427,722,527,933,862,594,500,248,640,589,950,660,851,893,
734,880,422,609,717,176,581,116,030,424,052,166,675,885,161,854,318,614,851,
622,302,088,842,951,175,840,914,027,874,326,565,598,900,713,069,466,666,242,
243,129,103,169,278,440,435,058,237,412,146,715,781,781,233,939,369,487,274,
168,396,958,288,360,423,731,862,571,585,360,936,608,774,584,920,856,929,305,
129,001,939,385,534,628,541,720,755,232,426,636,868,681,620,928,854,564,059,
491,340,919,852,050,704,614,130,657,343,651,210,486,402,563,871,976,870,795,
194,096,821,999,295,424,148,773,829,797,320,703,791,983,067,837,029,308,027,
352,739,200,166,263,409,849,551,869,862,325,558,037,754,896,618,586,930,532,
305,768,710,324,542,834,386,632,442,942,682,901,412,073,110,825,665,485,798,
699,976,952,928,316,037,682,652,360,512,490,178,840,211,462,249,207,987,021,
482,669,345,333,773,478,613,582,567,147,305,132,729,617,764,808,206,506,894,
252,203,404,188,920,090,320,529,561,370,253,343,701,861,298,922,887,109,216,
495,521,542,178,724,565,666,750,994,442,359,321,025,562,609,545,572,121,776,
967,247,464,271,799,055,371,613,670,387,795,947,966,452,477,310,937,139,104,
376,887,166,735,908,558,011,775,389,770,307,626,438,274,333,032,522,913,156,
590,584,258,007,196,490,382,546,628,749,452,841,820,722,368,690,373,201,936,
457,242,565,580,680,349,778,861,340,215,192,310,378,840,562,697,007,094,644,
833,008,435,565,202,477,505,362,191,146,278,113,489,309,085,483,104,964,103,
191,812,767,214,787,097,234,356,224,090,005,357,761,322,280,208,244,343,855,
828,862,913,971,136,810,802,173,375,135,812,679,730,049,402,725,462,668,104,
841,415,004,735,146,587,037,505,148,983,523,260,565,377,344,149,451,837,612,
191,674,708,433,843,637,667,119,038,048,541,832,174,765,483,671,203,102,446,
898,619,062,747,850,544,573,536,968,741,549,089,828,584,690,412,759,256,042,
550,051,178,111,385,078,601,538,451,862,601,987,928,762,620,538,787,810,040,
966,644,760,678,138,642,103,452,458,562,226,105,643,668,356,885,027,539,941,
567,192,551,633,108,353,173,063,280,055,279,028,528,651,871,860,760,478,432,
010,646,294,577,300,736,807,436,909,859,956,573,196,083,585,974,820,301,894,
919,688,018,132,753,965,378,141,047,329,067,845,504,555,111,180,983,536,212,
251,826,713,241,402,483,169,734,873,053,769,532,012,952,289,498,873,211,980,
515,268,640,745,935,435,129,915,757,923,452,239,875,292,782,204,235,694,298,
273,496,848,248,625,661,832,001,507,509,748,504,675,627,408,565,640,884,985,
398,947,119,005,710,577,044,575,002,886,283,373,487,315,882,544,896,285,076,
894,926,595,773,202,058,362,726,515,882,265,980,550,355,636,612,973,010,452,
447,713,635,399,326,853,503,216,305,258,129,573,668,652,322,057,650,728,361,
302,874,584,920,254,061,382,607,370,474,066,292,167,607,499,812,294,254,252,
633,211,871,930,808,246,482,208,265,043,129,877,516,112,911,105,167,233,670,
045,361,911,998,639,353,152,285,934,265,607,891,300,274,053,533,654,886,937,
245,703,192,225,263,229,000,089,278,596,923,788,266,894,723,468,337,296,566,
555,953,683,228,651,070,858,110,990,106,494,398,729,569,243,970,129,844,645,
918,610,405,828,076,207,756,209,810,509,132,402,251,771,651,693,227,156,078,
244,105,169,839,613,409,265,693,767,398,249,042,031,623,445,975,346,682,540,
163,300,768,515,129,039,061,973,707,505,049,900,460,842,977,512,832,756,575,
301,580,013,184,653,144,019,201,706,954,098,186,439,932,242,619,788,725,232,
182,899,180,879,774,376,247,676,886,685,722,540,464,597,587,286,638,831,952,
154,334,997,066,951,530,127,340,839,358,582,770,430,490,664,168,014,721,752,
933,938,857,346,983,639,692,816,444,142,626,014,725,063,948,304,448,747,751,
210,372,040,901,189,667,094,411,183,822,344,097,478,303,960,539,750,678,377,
861,552,551,082,987,819,605,002,179,709,482,674,248,710,486,423,388,590,536,
729,739,613,084,972,052,322,284,769,726,504,918,669,643,870,596,151,271,365,
495,000,247,500,723,982,012,721,617,700,397,136,868,837,209,769,393,904,880,
466,139,871,390,859,903,771,170,037,965,591,002,923,643,519,547,156,543,805,
020,684,531,847,667,163,904,227,190,681,821,323,562,415,088,638,262,580,753,
194,201,163,907,900,682,718,378,492,703,624,738,650,235,180,884,342,945,863,
600,276,534,776,453,112,760,095,053,493,647,308,964,643,025,472,867,988,433,
234,491,482,845,470,794,714,660,555,405,401,678,946,651,836,095,670,943,682,
018,029,615,175,380,164,626,432,108,072,111,718,122,370,468,136,088,734,939,
626,271,884,016,568,123,407,918,709,892,513,768,437,544,143,273,896,657,304,
811,437,725,238,999,539,572,087,222,962,961,706,075,592,977,421,651,117,778,
312,281,009,293,107,988,193,176,076,199,235,093,908,319,149,529,451,453,374,
343,645,669,665,362,566,437,846,194,132,743,964,487,264,611,604,723,223,500,
971,890,044,364,075,793,664,374,329,737,942,298,940,208,799,571,915,683,161,
482,287,721,358,448,097,153,267,807,634,672,421,644,306,394,546,134,535,941,
484,886,542,870,507,422,973,020,969,038,483,939,825,826,509,429,289,068,271,
893,876,749,875,971,853,440,448,266,655,122,404,510,744,773,489,486,469,699,
894,933,240,654,321,760,592,788,503,532,732,981,483,509,457,168,915,454,976,
885,155,814,655,146,149,657,943,485,532,292,350,565,245,959,143,039,648,697,
802,503,754,575,270,833,527,391,100,467,142,681,505,956,514,965,511,684,465,
873,563,148,106,029,354,858,983,896,275,322,237,525,522,855,423,922,370,520,
016,468,140,856,411,885,414,510,774,001,990,917,069,202,084,482,734,965,805,
836,015,245,660,169,188,231,339,876,537,998,852,065,706,863,428,710,693,871,
153,198,704,726,730,449,032,532,578,015,148,579,543,089,501,589,791,349,217,
369,891,261,130,870,690,325,547,819,181,796,913,469,605,697,485,391,815,046,
315,416,477,759,599,862,592,505,974,959,393,882,562,614,834,873,663,124,381,
436,422,482,710,936,530,579,517,534,066,115,506,298,465,127,521,351,280,591,
664,297,853,000,676,520,946,852,987,828,660,005,720,572,795,200,040,907,823,
435,699,742,136,046,943,618,448,148,112,717,636,008,324,488,169,221,927,388,
620,793,136,505,727,083,968,670,208,205,509,523,176,771,351,577,862,767,839,
452,409,274,760,009,344,986,820,897,901,767,452,601,352,107,952,590,203,258,
541,721,112,056,131,400,657,824,496,116,092,098,367,116,158,390,214,077,993,
511,324,857,435,939,985,516,033,063,559,180,468,076,844,765,495,354,866,146,
126,655,222,063,411,870,033,341,013,079,087,555,018,171,560,538,639,547,411,
202,857,460,045,087,774,551,178,666,180,124,159,669,377,195,359,508,688,080,
623,844,770,439,858,487,438,541,557,382,602,578,600,748,136,440,981,814,978,
318,454,784,844,407,595,759,350,191,584,474,086,313,802,679,315,145,644,685,
806,375,471,645,741,200,778,771,977,662,852,661,217,581,949,608,319,299,954,
031,456,072,345,632,942,987,591,224,617,069,452,597,125,628,004,953,121,722,
458,308,834,208,379,122,279,871,035,885,412,260,204,597,748,293,029,604,829,
507,289,698,990,521,088,725,526,736,238,884,384,269,314,454,778,115,450,590,
524,760,437,818,849,099,113,657,224,965,072,691,966,878,970,389,057,378,414,
965,216,176,941,935,165,272,522,582,041,609,346,613,451,959,363,575,442,701,
779,428,631,135,934,056,058,974,696,635,647,710,215,901,021,393,910,522,576,
667,310,596,139,758,078,944,558,671,291,867,904,224,623,761,089,652,638,864,
442,888,449,703,979,832,621,661,658,871,055,920,573,337,307,913,454,446,990,
378,864,002,498,174,259,031,861,794,540,178,529,870,005,373,304,814,414,174,
440,773,228,206,145,921,844,889,759,219,251,539,598,740,290,377,102,700,274,
052,032,553,391,041,386,303,609,789,054,194,327,537,204,208,529,686,159,074,
285,800,474,211,599,023,529,499,223,256,034,756,102,108,408,921,420,687,014,
978,416,663,480,748,694,072,866,032,566,748,523,596,798,685,399,801,199,751,
164,699,613,262,308,912,703,209,732,699,264,568,622,219,136,303,565,754,349,
885,704,400,397,538,854,616,551,347,163,027,858,031,683,194,290,152,537,754,
471,744,586,514,332,808,825,056,535,075,364,842,905,693,149,657,510,023,693,
147,457,737,139,344,103,816,184,401,227,341,836,533,552,396,344,089,367,673,
599,498,246,110,481,506,772,445,492,733,566,769,770,676,852,763,667,700,927,
414,603,801,442,242,178,116,830,001,738,062,919,351,174,475,811,350,150,544,
460,909,018,785,193,698,288,463,702,309,432,150,214,751,857,846,799,767,076,
553,743,033,336,332,363,105,824,167,520,479,506,203,069,994,224,229,211,084,
464,791,289,942,603,064,140,939,000,382,611,392,826,433,579,898,846,050,557,
070,764,873,907,819,966,690,122,093,704,513,258,333,967,609,087,133,516,618,
318,121,224,847,056,890,845,482,900,295,691,837,484,827,861,158,076,197,835,
812,995,115,896,137,285,870,012,073,166,833,371,735,386,836,825,350,761,773,
064,513,347,516,763,289,131,169,347,819,324,309,340,277,353,880,137,383,330,
249,056,696,735,226,576,235,897,604,899,449,834,483,178,009,592,786,921,666,
626,386,191,534,647,830,362,345,438,434,305,972,649,666,067,839,108,600,340,
575,954,876,361,200,588,402,074,073,416,200,284,853,308,313,703,659,981,863,
672,269,489,720,954,813,168,239,742,445,284,636,723,472,077,719,704,627,850,
233,983,829,340,552,525,975,546,016,415,646,417,751,287,852,048,779,035,065,
456,222,858,478,729,185,057,428,931,730,733,936,263,845,270,175,320,098,467,
774,964,828,582,083,788,614,979,068,191,749,955,399,218,893,769,267,788,304,
464,330,477,643,565,867,083,286,895,040,319,360,341,689,348,374,990,145,536,
715,567,932,458,214,694,181,417,075,566,785,359,984,278,986,026,330,523,127,
518,066,392,425,883,659,198,840,514,094,413,354,717,727,841,765,618,207,294,
989,860,326,731,168,501,512,160,789,072,578,352,396,349,873,323,351,571,152,
876,800,214,993,379,830,866,918,124,627,591,657,307,074,564,938,191,820,727,
423,438,649,311,800,376,230,214,264,993,441,267,228,059,583,860,386,696,225,
052,454,638,106,267,051,359,877,252,137,487,672,303,224,978,936,585,920,946,
159,883,599,966,339,935,071,780,140,578,458,459,064,322,518,927,067,891,333,
592,445,245,389,424,862,897,780,839,996,312,965,601,659,043,174,473,306,363,
435,497,308,257,896,845,556,947,579,425,867,776,027,181,820,277,633,429,147,
945,047,687,612,929,815,837,831,871,162,288,090,097,252,861,472,767,903,418,
796,023,593,591,509,739,401,584,193,847,734,757,753,977,356,251,419,449,674,
825,810,652,500,735,171,411,099,345,056,195,996,674,000,498,242,111,718,650,
818,959,444,017,234,799,350,418,923,510,981,948,358,096,355,427,541,474,573,
574,960,785,774,922,560,026,107,492,101,027,688,694,705,025,392,908,390,007,
945,867,786,083,771,760,084,043,698,567,764,100,781,093,445,007,477,641,758,
074,744,289,591,991,910,415,857,276,836,100,951,362,003,866,966,757,059,944,
106,537,173,176,388,280,228,402,671,039,508,271,537,211,285,149,043,010,355,
300,797,388,206,439,240,402,794,087,629,834,377,991,511,412,426,294,847,077,
086,602,949,253,983,510,813,856,971,186,128,786,963,935,223,735,678,789,432,
508,483,254,011,145,974,628,086,604,722,985,808,722,444,478,344,963,455,930,
386,772,566,297,069,803,795,652,284,598,858,365,173,570,276,506,322,677,754,
359,119,207,398,848,542,914,927,156,348,204,591,299,319,079,730,784,767,813,
046,568,003,418,217,822,574,132,205,345,425,396,086,770,311,748,127,262,201,
292,217,232,468,271,111,429,366,970,255,332,592,459,935,285,433,662,199,507,
395,554,456,797,741,160,660,503,988,570,967,370,945,653,075,490,985,683,008,
288,371,952,402,225,618,068,592,818,030,016,453,704,800,933,185,672,454,540,
088,521,039,134,201,015,216,471,393,744,737,256,811,788,562,953,326,901,571,
015,634,238,196,082,636,655,806,568,664,697,401,024,526,711,364,728,745,458,
587,167,240,481,183,008,057,882,871,660,090,827,289,076,647,927,862,784,689,
313,761,158,796,145,363,377,688,518,236,767,256,370,700,462,513,805,943,264,
672,672,452,613,547,630,636,291,592,539,417,842,372,939,767,335,100,763,654,
178,949,084,482,099,298,605,083,335,752,616,631,379,838,142,449,664,662,502,
301,306,410,650,607,468,073,441,943,361,716,842,169,255,989,008,751,950,764,
423,710,185,608,995,435,865,827,098,962,867,424,790,810,103,161,672,491,103,
413,204,599,124,141,092,781,294,478,024,706,596,874,543,062,888,924,924,355,
561,864,054,889,924,254,631,443,362,862,682,541,937,434,206,888,966,310,317,
167,750,738,277,875,787,471,224,874,188,279,271,667,088,923,051,504,033,944,
422,916,409,723,944,223,931,115,991,357,544,363,001,991,721,497,917,505,342,
764,497,575,750,115,272,964,474,909,841,413,258,407,004,781,913,614,465,896,
306,967,741,980,715,511,474,107,371,195,472,523,624,280,878,998,905,963,445,
228,069,071,331,965,810,200,183,861,918,746,353,623,104,659,767,258,439,008,
948,118,284,811,453,258,925,354,871,643,044,300,830,106,136,259,555,291,668,
637,066,908,070,070,831,499,111,672,011,568,328,342,951,998,542,872,010,216,
470,762,728,168,207,910,500,695,315,851,694,937,883,368,337,801,076,141,091,
920,771,039,709,658,566,965,380,435,831,864,922,883,176,940,592,161,714,237,
914,442,515,916,227,835,191,266,923,075,121,903,659,059,509,470,800,210,375,
957,275,123,709,018,673,114,709,822,968,251,248,482,272,807,096,823,382,212,
621,848,227,281,958,631,664,647,773,520,913,154,074,286,692,017,074,174,294,
138,837,922,241,877,900,712,923,016,439,056,438,980,625,085,913,675,667,479,
149,771,853,268,544,161,062,552,255,913,781,826,306,036,744,479,183,240,275,
814,803,022,614,708,862,314,454,280,170,867,721,022,525,161,592,746,201,513,
433,182,948,713,708,449,176,018,906,145,330,977,379,807,107,332,801,617,276,
682,098,347,685,977,427,637,020,477,782,532,378,784,978,252,608,773,110,095,
430,395,881,222,902,268,017,927,369,165,165,895,129,847,632,826,424,330,916,
207,733,710,322,543,675,519,305,967,917,263,745,559,116,597,374,048,886,537,
109,043,793,468,536,378,681,539,756,926,621,967,516,407,203,109,410,918,004,
665,584,003,728,133,488,510,176,319,417,117,565,152,851,480,030,640,335,106,
926,825,870,484,312,387,658,923,271,280,987,942,609,862,589,267,690,814,954,
761,947,273,571,283,101,007,995,751,121,228,778,835,180,810,236,053,676,591,
258,100,433,709,489,599,577,331,302,850,093,612,051,521,477,584,951,418,436,
855,732,575,106,459,514,677,402,922,625,312,000,202,047,941,339,298,212,002,
433,266,824,632,366,044,284,782,668,100,318,605,272,542,666,981,723,828,484,
685,631,526,478,369,643,152,693,104,178,645,766,424,483,472,470,813,279,271,
468,321,279,045,822,262,498,966,808,763,463,844,985,412,065,296,586,702,169,
658,839,614,834,121,962,969,055,292,011,199,108,952,243,030,160,648,857,382,
235,364,139,837,935,668,921,470,958,264,123,499,536,201,753,766,703,552,067,
421,975,628,709,219,557,438,896,409,482,431,547,148,329,447,781,958,907,736,
279,291,396,559,507,139,657,571,803,352,341,390,672,347,067,881,291,040,093,
269,594,801,214,157,270,495,653,508,432,496,869,216,706,228,673,316,503,722,
513,879,374,077,142,881,300,995,163,999,703,864,568,844,570,599,270,342,780,
630,977,551,702,828,980,918,487,968,763,131,895,144,337,947,145,172,669,528,
650,011,543,874,764,474,579,250,562,883,365,502,241,332,687,333,884,041,023,
746,434,353,277,290,667,319,750,854,852,905,465,135,917,055,929,111,508,135,
433,855,928,383,220,462,600,427,866,438,954,966,684,764,297,095,050,121,436,
998,123,556,943,054,969,582,445,338,992,040,752,697,707,291,255,533,368,403,
694,684,226,511,181,632,949,466,259,294,346,381,904,987,760,877,519,313,255,
979,691,933,096,426,035,071,851,108,263,508,534,905,770,153,659,100,930,476,
141,780,486,168,835,650,921,111,772,193,656,915,868,883,544,131,877,471,501,
866,354,623,332,978,842,716,601,984,734,424,166,834,490,418,442,327,569,634,
320,275,290,605,306,469,051,453,314,223,529,099,530,422,437,336,474,667,437,
736,812,184,410,152,884,462,871,556,087,076,484,243,305,431,188,559,552,102,
283,091,082,405,493,694,431,965,728,042,795,322,532,660,230,746,723,209,446,
868,468,008,745,794,782,553,076,383,471,944,797,308,899,311,988,284,879,640,
378,012,754,764,703,492,602,701,843,685,631,680,463,025,998,220,706,611,078,
887,942,955,131,280,228,977,277,576,170,048,233,950,497,622,218,796,124,410,
984,752,279,514,235,536,983,968,889,771,887,488,427,246,618,955,777,180,102,
482,825,478,627,416,956,144,929,986,268,313,132,300,334,780,597,073,157,712,
426,266,464,528,488,605,827,500,678,547,473,413,573,029,851,856,041,862,718,
120,753,379,654,149,251,031,392,279,803,437,174,198,547,964,559,648,115,890,
092,432,191,354,102,877,481,538,893,093,926,200,516,416,941,605,790,242,462,
355,975,030,386,181,282,969,172,625,475,301,770,040,412,360,131,693,221,242,
112,270,757,872,595,190,638,910,678,286,652,011,825,519,316,398,018,985,678,
164,848,480,502,231,751,692,096,294,520,336,208,361,511,446,075,620,295,139,
085,844,196,308,776,665,932,500,448,460,318,535,598,915,116,376,580,463,340,
878,148,113,683,145,640,441,073,290,008,504,346,835,627,607,361,998,896,166,
578,655,890,461,227,036,713,404,645,092,032,665,649,151,294,731,272,892,746,
031,711,429,387,955,574,274,260,289,769,473,396,471,740,250,995,186,596,181,
432,856,065,180,683,123,333,864,190,380,441,694,133,784,640,958,550,843,919,
465,230,485,602,127,386,820,601,014,860,509,157,769,390,051,821,229,997,243,
125,693,482,600,870,375,359,686,701,237,788,467,137,137,627,306,697,462,904,
713,204,073,814,362,576,255,156,295,013,182,575,559,742,877,378,307,109,845,
502,990,445,873,786,511,815,273,937,342,429,942,076,170,700,011,779,943,174,
838,708,503,002,278,943,380,151,352,094,355,890,703,788,032,353,512,847,706,
381,298,577,105,443,700,514,945,963,160,594,215,741,147,178,126,037,201,052,
683,139,348,703,301,458,313,987,472,922,718,991,805,622,878,398,151,584,670,
865,332,850,570,690,803,780,316,925,070,359,953,630,645,170,800,681,475,274,
553,938,658,403,975,798,756,742,968,384,572,833,175,981,521,894,096,647,564,
594,237,276,015,243,412,733,170,508,337,889,601,587,190,314,836,670,070,957,
341,570,520,155,397,742,170,734,645,892,244,136,516,374,220,393,328,344,417,
074,135,152,653,462,528,749,439,377,238,731,100,049,772,748,529,122,455,967,
678,356,440,129,015,352,656,735,454,139,403,767,981,677,436,286,760,733,332,
724,432,550,099,872,481,110,820,060,639,117,170,659,429,919,901,710,565,355,
865,037,543,555,845,526,357,990,811,694,904,333,215,008,745,844,481,630,172,
535,087,444,445,345,490,419,601,487,985,192,800,068,537,840,896,551,087,301,
045,330,958,277,910,427,383,181,400,973,706,844,378,322,821,168,806,575,916,
049,776,018,748,725,200,010,870,623,453,762,152,856,678,963,104,172,920,382,
917,203,209,359,008,526,704,375,994,996,426,143,385,798,574,636,349,132,118,
624,811,594,289,658,619,895,295,945,787,990,428,936,615,229,764,136,310,971,
136,526,232,140,015,107,291,234,702,695,641,846,400,900,474,840,539,919,933,
299,556,517,699,874,704,831,408,215,496,604,278,287,593,297,623,367,844,139,
064,360,168,352,775,077,445,327,764,127,653,297,110,341,778,182,379,967,006,
414,830,095,295,978,505,515,619,562,342,687,228,804,018,817,902,274,910,584,
379,906,271,656,767,497,850,485,201,179,554,918,459,395,928,001,075,111,201,
775,690,622,581,026,163,055,408,241,759,723,749,974,622,375,434,763,519,674,
563,008,452,389,798,303,998,237,465,076,932,931,742,458,804,699,989,566,498,
026,122,491,778,779,761,532,287,396,729,166,026,018,627,503,144,648,373,924,
593,540,737,420,070,057,763,870,564,646,418,735,252,823,711,792,776,339,610,
800,938,965,700,350,474,913,290,188,906,961,457,508,542,358,588,966,597,001,
419,430,597,674,305,660,628,348,291,961,216,040,010,864,525,495,976,956,613,
267,732,988,546,548,788,144,440,836,847,594,178,438,089,542,155,596,413,421,
752,339,977,069,172,661,929,460,102,273,426,000,262,646,909,719,394,463,770,
141,716,901,630,466,253,185,160,203,414,117,486,803,038,969,017,359,659,533,
708,649,241,349,690,980,402,006,433,204,418,511,704,906,500,296,950,150,949,
917,478,603,035,895,999,943,087,453,844,343,919,333,139,068,809,556,733,303,
097,287,713,271,332,292,993,379,550,270,893,023,254,185,004,270,910,813,429,
993,592,393,342,241,553,899,992,846,955,331,795,971,394,975,199,297,283,880,
619,752,557,392,335,743,052,007,773,866,788,069,753,204,304,237,648,566,119,
507,520,511,539,191,434,578,931,322,312,876,541,745,361,793,865,518,929,984,
545,799,245,050,443,602,757,786,913,428,242,168,409,504,147,906,182,039,387,
037,422,320,163,707,646,020,641,662,330,160,781,419,422,952,309,761,526,538,
211,644,885,484,539,445,053,637,544,722,218,694,705,924,047,955,591,532,155,
469,948,711,169,977,623,086,276,713,529,256,109,798,573,715,533,775,650,373,
794,746,213,100,328,490,492,095,869,274,843,824,286,453,400,372,630,055,667,
657,268,944,909,587,849,382,834,387,638,759,655,364,488,536,109,492,343,946,
184,699,868,478,652,201,590,794,315,299,346,029,862,175,154,277,178,390,726,
415,882,608,240,458,856,416,842,348,877,430,555,291,088,458,895,388,977,609,
407,006,880,380,983,970,842,729,869,362,011,594,972,091,925,328,911,715,835,
553,810,838,302,926,008,834,435,312,972,525,274,640,123,512,538,577,954,856,
473,973,152,290,130,176,802,343,670,230,471,420,833,261,657,144,206,728,503,
589,468,444,226,168,082,794,394,799,761,615,847,810,907,691,792,308,842,120,
163,002,480,604,674,945,423,899,445,836,124,451,843,067,314,228,845,885,374,
929,945,951,972,543,634,401,995,845,556,593,072,589,758,252,962,348,868,747,
252,814,315,640,996,418,587,829,790,568,055,612,169,634,058,192,702,603,469,
443,467,541,817,367,475,328,132,046,458,743,599,652,078,574,639,114,413,913,
423,779,437,058,683,371,260,470,541,098,727,748,239,899,399,794,088,584,965,
702,831,938,473,523,023,306,970,603,652,890,120,660,354,041,268,192,110,987,
300,562,822,272,751,323,887,636,128,970,050,352,162,840,118,448,583,905,475,
173,187,028,739,619,774,223,706,049,641,834,651,220,804,905,756,510,767,967,
584,047,341,237,670,231,918,984,414,808,661,609,261,748,312,161,123,147,729,
035,715,704,682,908,092,370,762,397,093,212,908,744,230,436,384,500,516,887,
789,495,228,185,601,991,050,233,189,083,460,316,751,611,036,502,693,647,713,
112,771,445,734,585,438,134,582,170,518,430,864,739,265,940,003,283,339,499,
430,548,548,443,997,408,706,495,826,277,423,378,954,279,710,089,351,946,981,
480,185,589,260,266,839,138,717,388,822,616,076,244,959,680,897,457,931,908,
028,201,892,315,798,858,609,042,467,478,603,070,682,676,598,650,713,047,216,
508,321,265,609,737,633,612,247,192,433,234,823,917,276,910,984,200,004,720,
753,093,477,337,854,002,050,293,254,161,242,715,855,501,087,999,872,471,452,
253,978,315,527,996,840,605,460,532,566,250,171,934,425,441,350,311,664,140,
889,313,033,216,994,762,484,477,758,403,184,147,759,145,307,974,370,330,702,
828,551,036,427,241,990,661,861,798,626,794,332,595,564,076,836,647,347,640,
160,125,968,494,933,970,169,283,713,166,793,538,771,893,415,947,360,789,329,
982,047,917,444,783,207,285,205,849,324,417,428,029,972,154,212,979,717,052,
979,881,200,469,991,754,128,285,586,340,634,869,049,567,703,501,169,341,499,
056,293,973,234,222,575,814,899,535,899,361,023,262,104,821,478,570,054,479,
448,555,188,932,332,475,063,791,405,443,467,107,113,808,214,561,989,855,228,
186,102,261,135,781,247,164,115,737,116,360,258,299,577,832,853,772,520,539,
622,512,180,949,573,537,649,640,914,978,676,102,291,605,344,294,888,126,031,
944,710,108,978,095,239,057,976,388,009,767,980,089,774,983,877,065,568,764,
055,035,394,765,707,550,790,499,106,396,098,792,419,610,360,189,189,346,285,
209,742,235,963,874,177,084,633,697,797,718,739,904,075,722,821,650,944,061,
968,693,714,516,447,637,260,340,464,552,405,055,292,828,359,305,224,068,528,
498,387,181,460,227,170,690,327,935,149,926,980,961,548,463,998,288,260,990,
250,566,135,793,133,437,413,837,902,847,143,657,289,557,623,871,518,673,720,
849,423,573,055,621,738,595,156,397,274,496,236,196,766,218,590,966,365,740,
929,368,722,126,817,718,058,399,848,609,848,499,505,618,076,055,010,733,700,
488,663,463,040,485,666,152,305,814,957,633,545,523,889,928,069,118,693,663,
977,053,522,933,067,545,680,428,925,763,532,228,329,788,243,609,875,679,240,
810,431,272,819,856,267,491,698,883,414,066,801,375,623,268,039,314,308,546,
363,128,497,923,790,102,653,983,344,849,369,618,420,380,754,956,986,961,126,
746,085,997,149,808,704,096,994,274,288,057,480,664,107,610,960,922,342,575,
894,030,062,183,461,363,131,553,892,500,674,388,965,192,972,532,405,618,008,
291,531,895,395,038,273,186,473,304,403,954,146,667,289,043,716,575,692,411,
503,600,054,781,748,210,621,467,558,720,709,341,991,597,217,880,698,621,578,
242,620,882,392,325,371,821,021,685,342,917,944,879,855,238,988,945,603,011,
427,406,153,594,210,465,704,313,510,681,668,131,035,997,665,139,022,210,046,
740,217,828,870,268,707,760,772,609,884,921,025,308,309,584,124,467,986,531,
763,510,740,681,205,969,161,054,931,003,776,611,834,060,333,388,552,314,803,
665,273,149,647,599,677,600,415,892,327,771,249,878,047,656,123,282,146,842,
117,329,617,130,358,881,015,806,851,686,427,016,211,644,914,866,580,461,180,
020,181,458,913,906,095,120,002,814,850,496,154,431,760,080,504,624,145,959,
933,380,416,116,761,928,286,719,341,452,168,253,171,205,818,629,138,707,279,
708,821,409,537,839,944,962,337,537,357,432,652,465,075,967,793,064,272,294,
738,423,171,295,419,583,004,095,808,725,500,504,470,972,555,693,145,134,690,
929,595,353,359,247,407,176,784,593,516,647,372,530,734,610,754,698,133,877,
047,773,657,004,001,143,831,846,077,266,859,971,333,283,865,110,908,374,477,
509,396,652,630,037,302,913,774,079,874,137,209,558,487,325,136,177,765,967,
265,384,948,632,194,930,503,437,357,403,578,430,183,754,125,040,673,045,652,
421,451,600,752,692,811,004,996,567,105,187,377,332,414,849,776,767,717,207,
895,909,309,249,080,444,340,972,993,597,690,947,690,057,304,701,247,891,994,
534,792,453,816,741,409,622,084,634,085,012,418,469,790,849,266,243,578,448,
327,737,144,802,710,581,629,533,498,501,238,120,767,332,118,813,262,197,812,
619,009,916,536,014,904,265,087,547,814,161,048,658,283,918,247,087,950,922,
499,520,483,568,786,202,407,073,242,814,024,387,999,542,389,845,407,407,116,
569,223,524,890,783,988,594,736,273,474,663,053,083,928,185,509,547,012,928,
191,021,711,690,099,503,459,470,753,914,299,363,708,944,280,814,974,979,935,
229,317,131,074,292,626,000,360,576,582,183,089,396,972,608,258,719,350,201,
240,908,994,597,207,024,467,641,704,771,845,842,565,762,111,830,096,742,943,
159,906,147,348,078,925,884,312,289,752,738,999,892,476,301,258,774,932,435,
252,164,811,049,339,120,722,806,902,446,643,648,019,346,635,021,115,718,837,
536,879,569,539,618,795,605,607,878,432,061,386,891,890,265,908,398,601,449,
968,769,488,492,199,968,638,332,058,982,840,802,586,860,144,656,813,527,929,
660,522,112,053,370,805,589,890,461,656,982,176,000,245,784,190,542,539,785,
782,961,344,915,621,285,277,762,403,957,258,822,493,047,703,948,376,771,166,
164,932,959,406,960,758,240,392,542,333,881,627,370,040,631,406,825,845,516,
727,466,514,301,165,524,923,727,898,863,515,161,867,752,742,590,600,241,072,
820,799,070,455,992,851,689,780,506,710,194,548,076,161,865,666,032,393,576,
578,087,290,214,590,483,316,802,612,687,229,049,736,710,056,252,244,693,826,
975,804,385,371,787,337,794,722,546,352,200,419,577,944,597,646,679,543,765,
178,790,012,340,982,440,207,951,625,823,799,925,698,721,168,306,941,409,016,
126,027,132,148,245,647,099,133,414,355,587,468,970,844,480,179,137,938,615,
682,639,918,651,401,597,410,097,794,909,119,294,865,402,523,187,685,750,182,
640,919,397,124,820,053,106,483,743,028,862,913,732,046,677,707,781,123,147,
051,216,336,355,951,263,759,383,891,984,591,126,893,736,781,946,050,587,497,
903,123,077,133,334,773,355,206,699,702,335,084,947,724,914,611,655,235,069,
181,263,432,168,640,688,156,845,860,988,868,987,278,807,584,141,390,665,208,
141,980,662,241,604,788,293,506,725,044,470,526,372,728,097,743,812,930,750,
435,060,058,664,000,930,065,687,454,402,486,610,771,171,433,905,609,052,156,
877,309,633,197,648,761,880,830,741,890,362,840,029,246,175,941,473,334,286,
086,751,512,072,017,622,236,416,431,105,475,419,627,270,315,068,043,405,406,
508,991,198,465,007,472,958,332,466,594,208,109,405,581,651,003,197,547,786,
280,302,953,538,946,789,406,914,133,358,619,763,847,720,980,669,449,250,339,
061,201,504,798,387,329,758,583,874,439,014,804,370,618,884,528,835,461,199,
470,060,070,286,444,264,476,996,360,256,181,840,303,343,912,998,566,568,398,
533,058,093,583,118,002,302,535,931,363,639,857,546,459,453,847,282,279,342,
827,073,693,073,998,624,221,047,436,617,242,520,011,597,478,256,241,220,530,
878,498,946,436,764,086,285,124,851,317,596,075,231,292,155,397,597,807,395,
509,171,984,220,652,528,995,100,401,049,708,289,169,811,128,638,158,032,595,
207,718,951,757,288,421,930,494,034,229,200,035,604,187,393,440,546,906,381,
180,110,379,074,007,182,433,571,681,506,178,386,264,370,647,133,969,763,579,
011,028,036,140,046,693,287,302,621,057,955,622,754,126,064,036,190,994,007,
919,341,070,522,676,617,685,556,392,678,894,063,031,607,949,735,563,898,969,
732,446,610,877,327,133,205,897,476,881,311,219,990,882,624,499,349,814,468,
201,796,524,375,612,364,874,749,571,411,729,217,797,226,509,231,548,736,165,
942,281,943,043,956,865,924,694,582,938,547,124,217,722,800,887,819,864,825,
447,680,728,967,184,903,760,532,674,239,429,769,906,505,674,967,606,124,773,
371,689,036,963,145,278,675,049,407,857,050,974,783,342,221,641,199,277,110,
507,287,466,572,630,098,611,912,668,762,579,390,858,905,407,132,116,151,621,
183,360,005,755,845,853,844,785,764,106,152,597,486,163,025,384,907,942,702,
713,620,561,483,655,463,616,950,140,364,048,807,593,107,830,044,518,329,226,
682,723,762,183,038,105,619,331,699,574,821,227,587,515,028,263,355,910,276,
437,988,213,795,445,313,177,586,202,057,623,577,141,239,085,894,557,058,483,
425,097,342,741,663,248,127,034,238,515,539,224,232,975,613,506,948,151,023,
748,029,747,391,743,642,121,983,068,622,928,243,252,536,648,802,335,619,628,
954,358,128,704,343,103,561,751,533,692,690,593,920,732,972,320,991,046,674,
770,888,331,545,578,167,791,881,128,237,840,911,235,570,230,127,085,453,797,
616,600,085,922,558,352,053,122,627,997,461,748,630,341,345,020,502,054,846,
703,694,042,656,874,733,770,974,777,875,908,225,194,704,781,492,853,886,136,
079,875,574,627,115,283,745,055,953,797,283,121,006,991,592,792,388,551,672,
941,563,459,268,192,376,256,669,820,592,771,488,980,707,550,690,691,034,865,
820,395,906,870,230,805,771,928,307,567,915,002,025,556,487,318,188,293,625,
133,203,576,622,167,817,032,631,494,979,944,104,223,769,204,417,038,876,806,
045,652,533,184,418,458,388,566,597,862,114,170,382,408,883,294,304,890,879,
521,268,898,426,092,224,644,767,717,333,749,291,330,192,317,088,003,054,307,
049,861,527,935,988,300,795,593,559,235,746,363,725,660,558,873,366,641,751,
608,153,694,132,014,336,720,748,112,161,016,909,901,204,758,972,883,113,505,
469,725,504,785,941,929,177,921,782,057,104,058,171,492,889,133,955,575,969,
834,024,131,364,156,310,356,298,603,385,458,401,307,278,576,395,247,392,615,
718,725,577,537,702,593,267,327,459,470,261,862,733,704,504,332,128,587,231,
499,084,056,461,751,626,627,797,034,504,034,843,687,065,177,936,079,630,843,
255,846,427,074,331,594,709,510,013,073,869,206,705,634,533,841,785,738,837,
848,219,677,516,904,435,390,034,563,293,341,509,023,130,355,150,762,138,776,
623,803,059,017,142,350,142,445,977,759,514,293,765,360,023,992,156,183,025,
930,147,197,107,132,389,791,426,702,350,526,039,633,467,421,153,534,163,142,
096,786,802,003,566,948,643,205,752,134,425,950,462,888,297,052,319,463,201,
350,619,534,080,901,311,396,447,474,156,062,296,481,256,854,314,003,523,984,
469,756,275,094,862,231,763,491,206,408,753,600,854,631,670,349,861,473,674,
935,358,489,564,791,699,777,148,086,516,202,884,685,424,028,130,543,304,276,
273,892,581,805,890,910,273,806,794,666,763,851,819,123,854,465,021,096,182,
061,274,188,180,944,464,447,563,457,228,643,784,624,460,575,757,722,711,255,
950,654,961,867,027,584,535,198,984,954,108,255,934,803,358,592,854,395,421,
367,419,020,136,378,680,509,447,140,295,521,410,806,270,101,489,460,475,072,
602,467,819,862,455,682,352,311,565,851,439,723,058,233,406,073,085,630,505,
271,880,878,443,729,817,048,974,924,661,557,048,105,868,677,715,809,740,941,
230,138,276,390,309,041,331,010,340,616,894,440,197,729,758,701,332,937,842,
730,061,516,285,827,026,743,077,349,745,063,276,224,097,170,475,946,426,232,
250,774,991,058,094,910,149,838,672,416,040,641,490,916,953,318,122,083,385,
890,996,905,226,598,855,089,882,711,586,827,988,081,416,378,921,185,707,458,
589,992,554,078,510,609,775,496,746,657,169,342,260,314,669,248,259,624,443,
105,389,246,723,724,202,481,719,236,378,760,456,018,334,932,673,220,585,185,
460,458,921,721,326,204,821,416,756,385,720,557,000,735,922,063,437,906,913,
676,446,360,577,740,046,631,250,052,616,118,002,374,508,825,551,767,290,267,
496,516,791,114,137,851,152,650,322,100,693,041,407,323,984,676,959,816,236,
534,889,828,722,063,512,355,487,084,259,848,515,448,785,901,322,205,124,159,
167,094,575,364,449,047,615,146,145,241,363,898,157,423,007,321,302,680,073,
151,802,086,588,918,689,429,050,760,630,227,685,234,127,476,886,712,932,257,
844,721,974,729,132,694,782,726,825,935,529,162,360,823,533,395,203,301,259,
812,913,913,989,895,480,058,807,794,047,499,834,710,100,837,729,601,247,640,
080,876,608,135,675,438,484,518,762,518,000,860,642,958,023,882,169,943,825,
504,040,229,462,680,150,965,663,767,285,567,444,347,694,955,849,207,926,874,
762,130,513,191,375,117,866,670,683,944,895,551,340,778,504,043,359,808,238,
115,808,855,464,072,922,360,163,387,646,634,870,385,863,047,626,336,934,693,
078,715,587,477,056,126,564,186,733,582,406,120,899,631,316,892,301,774,342,
552,056,300,799,779,471,716,159,603,661,563,075,658,073,689,750,136,977,700,
260,748,853,232,479,267,721,034,850,112,707,994,384,428,068,030,226,073,122,
681,800,209,712,147,579,788,734,499,142,657,629,149,703,309,709,489,315,282,
030,078,312,759,421,351,433,831,081,400,003,336,603,181,267,464,647,630,417,
675,487,545,236,042,752,537,036,138,597,799,538,041,637,167,301,868,593,992,
079,142,486,313,104,562,708,929,801,964,638,598,094,538,167,911,020,281,335,
137,864,856,982,455,376,851,220,373,288,137,506,225,078,254,968,253,876,033,
023,796,356,919,699,401,783,192,732,146,903,303,531,002,245,471,164,025,169,
658,269,956,738,707,086,832,300,764,078,942,548,707,579,552,237,423,502,967,
129,830,571,491,505,385,270,810,216,562,527,380,169,418,386,062,862,845,261,
697,487,221,305,586,223,839,008,335,858,041,082,731,920,167,162,635,550,639,
876,325,197,001,894,541,561,058,822,867,528,938,021,259,733,477,184,148,359,
689,441,932,581,781,506,660,459,234,972,433,278,724,435,315,405,592,460,415,
057,637,433,405,695,531,453,524,029,590,952,217,366,265,593,405,239,810,243,
979,664,242,445,779,754,556,774,360,833,683,041,483,372,157,621,874,058,883,
087,181,314,568,093,836,806,456,559,254,838,098,807,666,067,257,091,817,920,
741,175,041,229,807,299,410,407,809,234,006,449,075,547,602,453,233,587,154,
644,265,066,533,175,880,150,479,157,638,271,319,093,550,755,563,062,503,695,
829,089,779,218,173,961,459,583,144,211,182,614,556,640,682,834,672,788,198,
131,244,751,028,149,798,094,647,319,381,988,806,034,707,994,151,591,554,252,
570,679,629,553,353,964,973,064,594,074,517,299,205,410,977,851,644,190,845,
578,310,818,292,468,494,369,519,159,384,161,053,429,801,709,109,484,208,439,
159,039,833,106,975,944,753,024,543,653,885,687,545,568,783,454,446,731,479,
396,983,779,746,667,840,607,298,237,683,799,859,888,893,562,117,068,253,969,
690,158,920,656,453,046,626,254,411,588,774,138,419,855,856,786,956,293,883,
520,704,000,975,395,871,151,933,843,853,560,299,522,937,118,608,063,188,582,
276,541,281,695,955,189,823,536,240,408,624,356,846,066,158,764,467,780,779,
426,663,083,622,470,553,988,150,613,846,582,706,449,330,185,562,529,778,725,
951,980,223,125,145,578,850,453,379,241,089,642,557,862,929,555,316,901,252,
179,802,131,475,384,780,920,222,224,578,791,370,259,764,092,954,198,536,792,
821,084,619,297,899,735,990,309,483,793,962,526,114,951,796,519,037,137,887,
273,075,108,786,435,573,927,346,607,464,248,300,065,425,315,592,459,660,490,
784,458,443,772,908,498,773,253,434,028,399,097,962,965,321,492,665,857,498,
050,829,629,114,993,948,081,025,668,644,845,207,661,128,086,462,773,405,328,
924,559,405,710,884,565,478,807,079,636,492,815,668,905,415,152,250,674,307,
389,507,257,883,729,093,092,765,850,643,824,915,664,472,930,705,647,829,666,
311,275,626,577,044,092,612,618,221,475,898,223,789,982,532,522,282,816,966,
458,057,487,294,488,214,805,659,136,603,046,249,429,966,571,383,134,425,848,
705,437,501,715,250,597,942,184,120,148,547,601,061,146,921,472,274,915,240,
213,493,255,231,208,145,157,660,114,353,791,910,869,525,914,557,299,997,041,
266,511,203,155,463,670,016,247,204,910,589,693,490,071,530,323,447,152,120,
881,753,113,130,574,311,017,454,093,767,023,360,732,681,804,992,659,217,260,
659,073,889,436,567,661,684,926,043,010,138,850,638,728,530,230,100,211,097,
647,578,564,644,773,471,405,162,500,662,189,451,817,320,958,874,951,694,029,
216,339,017,902,762,639,557,233,366,555,659,641,566,945,667,688,913,598,438,
005,491,663,739,976,997,404,911,346,081,184,485,391,682,725,500,604,688,709,
101,455,945,235,608,013,579,755,957,996,235,542,124,200,801,743,602,069,888,
147,665,540,406,239,851,314,560,323,130,788,132,701,121,856,897,216,567,290,
226,760,013,606,851,364,692,619,696,424,593,920,794,403,770,756,318,356,900,
321,660,315,690,508,529,547,068,076,852,283,301,551,092,999,344,701,285,959,
234,624,877,477,966,025,159,068,665,440,604,320,528,392,953,556,710,935,084,
646,807,694,291,401,886,565,675,830,239,162,541,283,150,352,353,313,014,070,
235,639,817,689,412,607,440,135,095,107,196,155,725,273,143,234,819,486,335,
159,610,732,563,020,525,477,050,227,410,516,748,600,228,159,560,915,249,495,
187,858,372,506,435,346,924,513,384,414,776,671,678,177,046,302,267,820,576,
586,804,418,778,527,888,911,717,559,740,314,194,517,233,624,268,301,713,148,
734,574,427,720,129,564,618,083,630,375,233,846,438,825,245,722,083,086,739,
128,776,912,010,606,042,340,396,156,784,387,540,845,113,409,801,745,917,846,
997,661,536,292,518,890,667,661,686,424,443,396,417,532,547,165,549,866,406,
163,792,343,640,255,698,796,492,288,734,108,451,676,309,047,831,972,580,132,
282,890,188,386,802,451,953,168,401,522,280,720,647,003,054,134,394,101,333,
536,594,053,786,435,536,834,392,597,720,764,554,820,691,907,090,871,224,537,
424,907,880,529,146,802,764,349,396,108,590,143,179,943,315,695,126,383,568,
515,343,162,710,267,563,636,492,679,358,427,604,294,422,299,027,401,856,237,
954,035,060,462,071,940,305,185,446,013,230,285,825,260,803,744,190,469,788,
446,063,726,165,252,739,172,048,182,288,141,536,843,419,064,219,333,701,133,
088,146,223,589,110,531,004,286,349,503,086,674,778,178,879,060,216,111,254,
924,987,888,903,354,035,776,660,172,872,589,660,419,340,168,279,824,356,015,
651,824,055,710,407,071,567,759,031,406,145,294,248,688,973,015,885,138,889,
503,691,452,228,043,632,993,239,358,389,907,097,765,186,278,064,311,608,576,
840,804,802,939,442,568,744,686,128,882,219,839,823,221,048,416,914,326,163,
130,692,722,638,652,623,447,876,164,278,092,951,323,238,640,781,482,346,833,
924,508,107,465,036,880,796,238,856,580,540,570,414,838,816,942,948,061,053,
364,844,880,860,662,004,385,750,666,857,759,318,994,722,278,113,973,865,907,
016,685,681,947,753,961,149,885,058,031,976,354,911,913,040,431,145,919,297,
567,320,030,709,072,745,848,358,366,273,018,126,391,695,884,042,784,060,605,
799,606,084,062,625,049,878,827,073,780,672,185,078,459,714,594,015,568,348,
214,085,735,084,454,908,663,282,641,757,779,052,072,832,897,102,668,392,659,
960,689,724,367,381,623,779,274,686,091,120,595,779,952,088,998,587,418,775,
885,539,428,995,813,108,120,590,447,184,464,299,851,305,169,161,587,932,910,
794,637,718,636,653,073,161,372,281,505,581,550,909,202,492,208,139,219,037,
443,548,777,892,723,670,690,464,052,377,863,993,597,010,594,003,046,416,302,
604,891,590,761,515,398,229,683,224,179,578,733,931,452,279,540,695,064,855,
075,299,097,645,454,489,072,518,284,841,560,512,859,086,431,042,339,523,721,
829,210,119,591,714,083,512,691,889,188,583,594,619,527,761,045,709,865,169,
248,720,517,893,457,991,863,686,594,114,637,318,413,488,226,084,227,851,618,
092,707,186,855,043,479,512,295,435,978,755,771,593,615,970,358,404,021,366,
579,126,387,174,756,986,181,420,537,046,056,688,182,998,513,288,041,226,495,
251,218,861,138,918,080,018,808,826,220,568,725,567,187,339,235,314,273,591,
960,015,283,391,827,828,209,805,477,107,953,323,853,326,649,115,639,996,900,
624,687,132,375,131,405,441,194,618,475,923,197,292,652,235,615,233,301,780,
491,568,425,352,107,159,364,186,271,374,384,525,576,296,221,674,950,675,840,
803,875,483,461,716,613,039,608,011,191,426,106,050,130,113,992,282,867,805,
521,425,332,399,876,480,094,072,122,775,112,253,048,405,204,142,984,956,113,
412,898,745,111,342,710,681,878,319,934,204,249,901,168,315,547,698,307,301,
109,666,061,980,015,585,015,155,576,356,993,879,371,000,770,885,703,504,989,
931,526,418,500,204,536,985,988,520,216,851,391,709,499,037,310,593,471,316,
433,951,405,534,621,360,084,040,571,917,219,071,088,319,535,525,545,797,106,
392,117,871,406,158,089,862,008,630,984,372,487,799,978,974,397,247,485,241,
233,334,608,379,126,693,340,524,829,077,297,542,929,961,894,769,200,172,926,
729,605,551,096,653,078,750,236,951,530,459,940,172,944,373,206,833,619,578,
285,263,377,423,981,876,230,670,808,217,340,252,234,443,546,468,207,535,079,
002,425,943,847,221,960,009,270,266,892,516,304,367,067,543,893,120,643,495,
538,727,524,204,441,908,838,401,504,524,151,152,713,458,532,014,381,852,042,
082,825,308,829,991,428,935,262,482,800,941,560,553,035,148,477,645,664,333,
276,393,524,137,710,710,504,793,610,492,120,307,704,990,655,093,079,485,362,
120,758,794,074,767,586,007,261,357,332,159,231,774,516,500,706,006,729,750,
310,320,075,781,890,336,560,410,751,626,735,659,218,493,427,987,586,225,272,
746,014,375,063,143,167,966,853,775,103,918,431,740,578,881,243,753,124,214,
127,269,633,542,126,512,413,193,217,420,135,942,328,717,751,132,144,655,182,
234,342,706,676,993,901,107,507,314,230,508,462,493,459,506,897,020,993,153,
626,119,425,357,834,983,061,962,897,765,310,273,794,390,418,275,861,887,411,
685,437,083,228,612,236,696,988,677,757,752,650,839,711,664,908,498,868,532,
481,931,156,837,510,413,693,402,923,466,357,713,578,783,061,028,699,862,674,
777,683,427,531,014,915,067,906,307,135,877,198,579,077,894,587,557,629,793,
954,583,141,937,453,157,711,920,926,451,717,970,276,772,175,303,966,614,119,
471,952,722,506,599,555,917,149,267,131,959,559,837,700,002,320,432,847,056,
889,884,499,352,122,419,740,555,204,064,455,005,981,634,017,070,000,955,456,
284,022,665,438,279,583,783,806,666,278,827,954,453,988,043,157,141,944,934,
988,194,503,334,926,331,820,477,288,061,510,315,258,670,208,299,150,165,047,
664,956,801,619,849,381,619,031,978,866,295,720,132,138,796,317,850,275,123,
090,851,446,448,986,396,626,490,144,170,780,624,852,935,242,355,410,150,838,
885,304,802,667,727,733,359,108,681,615,451,538,344,907,930,892,351,005,088,
608,541,761,848,925,191,669,938,243,515,135,064,705,237,911,032,155,873,515,
908,145,873,777,449,888,854,023,348,623,614,563,338,513,279,602,116,390,136,
302,474,495,637,982,994,804,065,244,620,501,755,679,838,711,225,601,627,870,
549,269,326,475,914,903,608,648,179,794,616,345,379,830,022,767,557,214,538,
129,208,991,220,242,127,887,718,538,422,379,884,079,509,662,740,540,165,215,
552,260,194,603,193,881,755,690,312,914,252,872,237,344,981,009,543,622,965,
569,754,674,040,598,291,105,097,775,247,741,147,475,909,950,445,739,432,040,
598,349,212,403,295,190,241,226,507,354,190,207,307,209,983,615,507,163,030,
274,312,742,752,282,194,168,346,337,925,498,188,553,326,773,810,084,606,896,
248,840,880,008,521,221,789,918,819,406,409,742,408,930,994,962,129,132,871,
117,297,887,789,444,293,125,895,881,488,579,825,344,882,640,612,363,412,688,
101,604,494,439,294,238,160,556,028,380,655,514,783,460,163,877,657,636,284,
992,795,536,364,976,495,280,795,228,271,939,009,905,064,938,685,489,343,318,
401,734,493,885,865,194,202,365,917,419,054,722,717,076,573,618,659,845,311,
555,093,160,015,156,679,204,168,567,629,700,861,501,484,307,646,363,710,983,
452,500,750,261,365,433,561,580,118,730,426,232,369,705,181,296,149,247,032,
751,418,273,295,852,176,609,179,097,017,503,492,562,333,503,899,921,790,072,
184,759,598,184,335,242,888,153,969,707,898,655,392,702,346,576,435,683,470,
250,452,871,701,429,867,738,457,365,833,585,669,291,244,761,690,989,976,470,
842,170,679,905,206,712,786,158,387,501,347,450,918,706,752,521,676,247,159,
126,013,060,571,492,787,959,273,905,966,586,733,936,775,335,258,944,872,463,
144,916,690,073,144,789,117,183,973,664,555,991,284,600,431,988,799,982,922,
546,359,278,638,567,635,504,201,036,745,288,045,744,324,130,432,322,434,664,
350,960,222,050,254,411,718,194,111,368,085,845,160,058,270,958,981,725,817,
229,303,319,821,255,143,294,788,981,762,720,111,308,418,030,845,820,804,892,
560,331,608,417,484,602,441,511,977,968,512,495,355,901,136,157,032,996,504,
001,157,723,059,655,115,805,824,650,750,406,538,516,833,421,517,863,552,012,
262,464,626,505,176,981,461,717,924,357,472,948,643,891,263,784,894,822,719,
440,610,165,971,849,936,277,734,809,166,398,335,073,880,873,248,030,742,707,
644,822,504,576,241,454,725,203,461,825,013,518,419,510,180,175,318,973,599,
579,719,936,582,853,275,423,152,190,651,485,691,135,513,083,725,543,971,419,
900,156,985,190,581,481,698,886,835,953,454,107,073,502,014,766,558,460,776,
443,715,911,657,477,692,508,837,260,796,022,107,223,112,013,916,652,126,055,
168,274,653,267,057,141,630,072,823,601,966,819,639,902,823,456,385,957,250,
215,511,586,088,449,199,889,711,235,273,434,671,563,391,596,076,106,434,503,
704,338,332,027,087,232,159,374,066,120,455,220,919,878,010,266,151,041,633,
929,599,247,070,529,452,669,021,581,864,187,575,718,912,433,277,509,171,969,
699,322,997,009,467,362,997,620,938,187,949,721,263,782,800,272,396,831,475,
578,543,898,590,972,259,595,616,376,096,840,271,251,026,436,784,424,241,151,
409,567,493,529,128,112,250,004,077,710,545,942,672,473,529,251,446,533,545,
700,852,899,243,195,456,218,150,425,325,603,214,577,037,334,145,918,717,168,
860,387,765,108,465,606,845,074,393,835,998,730,547,521,166,394,014,333,834,
255,169,787,514,925,605,459,431,233,555,239,955,089,096,560,118,948,513,734,
438,969,390,803,094,769,089,580,662,869,260,556,570,829,135,590,192,193,076,
560,531,447,040,987,827,504,558,660,858,963,975,373,838,912,192,180,398,733,
774,291,955,392,971,329,203,597,061,361,127,412,307,227,676,638,495,694,063,
641,921,734,991,912,948,434,230,987,457,829,972,044,627,034,508,641,291,168,
637,076,873,862,093,633,363,388,677,760,898,707,584,463,091,156,359,878,277,
496,370,792,817,128,167,321,959,886,625,081,397,247,493,564,333,077,223,020,
736,582,652,091,716,435,633,407,492,917,050,699,792,269,552,435,875,986,062,
205,363,986,591,577,060,712,051,292,702,032,478,729,048,171,197,947,012,252,
984,634,016,125,687,877,110,114,710,716,139,827,636,356,965,360,549,094,259,
812,344,335,668,498,168,289,523,783,150,019,847,579,323,677,797,388,069,598,
014,080,732,661,314,337,189,190,527,970,245,178,998,701,856,387,685,027,343,
631,763,112,254,909,751,020,716,944,460,103,395,615,878,662,147,165,254,764,
013,616,110,006,677,341,165,211,704,074,419,083,540,310,719,726,714,316,360,
110,979,893,729,283,287,780,946,158,517,203,939,330,121,578,414,965,640,584,
869,402,555,063,436,087,600,024,977,616,477,090,394,040,099,280,121,381,794,
299,516,279,755,560,502,445,963,305,719,848,708,048,729,451,473,628,289,874,
295,093,293,849,215,837,844,405,266,658,895,515,919,721,195,836,917,467,881,
433,801,837,272,725,348,018,201,728,804,555,602,827,145,430,604,886,329,199,
837,851,975,535,228,758,073,976,496,754,301,724,497,428,843,740,451,735,538,
404,938,476,380,406,409,634,361,635,187,029,979,764,991,943,320,277,549,072,
435,628,084,385,526,153,850,076,390,338,753,659,402,959,751,062,710,987,668,
111,704,132,487,204,691,243,340,014,841,493,851,524,253,761,488,689,821,674,
376,020,128,071,764,091,665,424,434,369,901,947,028,650,334,018,625,644,374,
645,702,613,535,171,901,061,239,052,965,140,870,492,991,432,947,306,483,999,
741,958,500,356,154,555,950,316,537,474,089,196,991,918,307,846,962,389,715,
720,575,954,957,929,204,201,384,165,208,439,242,630,243,262,181,526,687,472,
653,866,148,049,967,729,582,951,126,485,625,378,516,241,393,629,833,805,272,
763,929,732,869,416,832,340,530,855,791,610,245,195,749,609,181,100,677,303,
391,081,354,328,901,115,102,391,806,852,799,234,989,186,033,548,273,788,499,
405,988,743,713,750,288,068,581,253,767,102,562,646,144,929,065,333,836,080,
110,380,276,443,479,507,792,526,970,251,445,482,980,038,878,833,407,295,240,
548,013,865,863,429,103,161,410,990,373,139,936,218,770,865,896,219,179,253,
590,261,633,068,952,605,537,479,065,739,030,997,172,075,354,432,541,331,910,
711,626,133,873,822,267,870,767,118,281,714,538,580,897,252,813,080,356,829,
228,443,153,495,916,996,393,688,844,481,439,154,901,423,143,732,218,424,609,
012,407,499,252,001,544,984,434,164,839,178,917,168,593,316,451,701,757,913,
159,700,605,675,867,356,918,678,604,997,521,276,815,610,047,940,190,978,275,
504,664,010,038,515,352,042,032,785,575,391,449,011,944,914,054,236,036,161,
680,643,832,329,727,587,298,487,926,512,847,479,758,550,540,528,369,372,737,
609,533,210,807,815,792,360,618,035,354,112,277,915,318,217,245,418,645,785,
237,696,917,161,247,794,770,530,036,752,914,246,397,751,111,959,370,634,162,
242,939,029,694,138,566,298,228,388,919,620,784,259,743,907,485,496,386,449,
310,369,341,260,633,175,920,610,352,833,694,564,173,819,425,691,435,409,786,
736,881,722,146,035,666,566,076,731,114,426,019,568,230,730,890,294,868,541,
277,599,987,350,806,374,178,376,988,165,632,042,364,685,708,102,251,135,422,
449,979,562,954,586,645,488,027,330,424,555,168,108,655,263,239,154,978,014,
853,460,134,436,482,076,966,683,955,247,403,932,777,541,787,930,452,242,554,
452,709,023,985,571,210,522,976,340,931,666,209,599,200,181,672,398,066,816,
759,923,603,889,990,617,828,000,008,609,814,842,366,132,865,218,577,594,205,
091,220,262,099,862,465,124,400,793,445,072,846,906,644,362,897,748,305,686,
277,260,299,361,025,103,081,838,560,772,253,670,008,258,664,112,372,310,808,
751,059,556,123,512,809,562,892,693,885,298,986,099,824,276,967,247,426,230,
965,304,052,959,531,083,934,191,662,856,313,097,431,513,433,409,277,604,889,
374,438,238,067,059,967,462,401,367,268,352,992,761,397,487,583,563,053,413,
350,392,708,856,522,670,840,585,472,247,607,097,974,382,698,703,243,528,533,
578,267,084,214,510,819,730,404,232,956,527,466,075,622,059,568,421,910,956,
300,487,753,486,987,093,159,214,675,369,336,300,726,176,426,367,791,989,915,
109,148,458,383,543,717,294,385,177,373,136,985,792,164,376,392,181,767,815,
644,270,112,721,412,349,168,962,736,835,514,344,239,428,585,204,713,452,061,
908,590,044,782,576,238,508,977,796,586,251,143,221,713,840,407,624,117,393,
051,894,108,040,559,546,518,107,867,415,556,172,631,501,589,422,562,783,667,
142,482,489,251,363,295,501,405,304,708,931,815,680,880,142,938,230,271,081,
023,276,834,711,199,036,489,221,975,510,412,894,318,145,453,295,131,013,543,
493,574,683,255,677,805,384,685,163,123,540,002,940,609,483,646,877,815,501,
148,284,112,253,912,789,652,266,044,274,980,635,565,134,232,332,318,766,312,
807,273,027,996,971,289,687,863,206,687,942,072,689,916,982,506,714,886,144,
708,009,261,521,902,030,265,764,610,257,761,712,455,948,817,617,294,509,449,
517,626,278,043,306,431,622,538,383,584,440,096,264,206,339,720,441,313,698,
394,339,914,991,293,553,370,319,480,364,074,374,791,970,760,761,108,058,995,
355,595,491,275,549,112,416,809,934,174,339,496,448,044,225,071,600,919,539,
228,364,099,654,874,670,191,106,344,660,404,632,844,261,074,887,469,320,184,
400,963,031,931,600,176,132,861,483,687,696,564,449,214,540,524,893,713,769,
853,335,197,883,025,356,917,062,479,090,476,498,333,902,258,560,488,031,883,
993,060,087,976,161,087,883,291,324,744,230,895,738,633,837,069,825,154,581,
830,330,503,795,636,069,255,798,417,293,704,901,750,840,727,413,512,282,683,
313,582,898,060,368,497,222,597,983,177,237,029,421,171,198,237,372,899,269,
283,746,097,677,588,804,898,584,831,543,939,219,098,655,716,719,644,122,955,
404,023,338,719,900,856,738,960,334,143,730,534,835,837,474,633,932,323,813,
685,525,414,812,520,562,337,444,368,100,344,090,861,285,756,651,168,498,936,
883,466,618,750,930,824,731,135,697,457,363,292,208,832,797,436,217,719,269,
162,532,384,915,379,630,040,283,284,176,940,962,009,970,280,691,382,284,822,
592,416,943,992,118,167,044,267,932,685,482,062,108,968,748,775,482,910,336,
174,113,663,755,259,505,512,837,873,908,867,469,451,008,422,806,942,118,685,
651,685,669,813,277,072,204,352,397,684,046,747,413,566,279,872,187,639,010,
336,077,668,167,030,161,119,233,326,929,203,377,223,184,123,007,679,757,394,
246,233,749,824,346,020,102,405,805,636,601,483,354,624,400,306,329,004,998,
467,439,239,327,282,377,807,996,009,435,292,816,655,873,597,291,101,132,710,
453,518,110,521,521,733,725,535,870,613,665,747,362,011,276,911,169,149,085,
433,218,265,028,534,173,506,165,064,868,977,336,639,008,995,428,466,845,119,
139,886,365,548,030,357,291,895,585,292,330,024,471,667,032,006,354,398,521,
807,176,488,901,846,445,694,295,357,606,576,719,560,385,395,670,693,330,734,
450,941,656,127,558,358,451,108,322,224,062,065,503,523,836,007,842,759,741,
919,262,417,677,696,007,737,143,477,884,551,947,469,749,914,056,955,665,558,
970,018,473,145,389,067,379,868,457,286,763,929,393,017,506,987,446,477,286,
136,324,766,544,429,527,251,958,331,993,477,227,466,804,764,212,075,287,026,
384,965,938,859,714,081,862,122,240,857,752,356,049,166,485,591,464,471,745,
175,967,355,980,332,271,436,131,105,992,072,870,164,850,283,589,507,579,952,
962,000,940,164,254,303,272,446,461,014,048,059,430,137,447,722,019,823,398,
086,434,930,798,706,573,826,601,494,382,317,882,161,994,618,518,291,317,702,
632,310,969,666,670,570,452,999,568,164,379,307,019,165,152,069,766,879,258,
729,406,184,575,950,082,096,727,076,564,941,801,329,263,069,916,038,373,745,
971,367,799,032,761,605,889,821,347,707,183,158,656,886,994,943,478,654,650,
757,356,925,285,229,817,736,958,630,172,599,684,365,890,021,740,979,385,780,
779,473,637,372,420,568,622,494,735,430,417,105,669,344,656,772,158,506,484,
422,550,603,080,092,826,756,320,775,218,828,641,021,062,965,377,035,466,615,
981,032,952,631,614,723,285,270,382,981,899,880,203,799,865,172,968,290,098,
099,192,381,000,535,157,546,361,411,596,412,186,001,597,225,959,614,903,839,
305,503,289,855,942,651,054,586,493,188,625,079,391,888,622,883,167,411,547,
759,247,223,151,949,964,387,182,400,459,385,476,243,194,621,583,940,798,853,
406,933,823,069,639,865,563,546,730,228,488,954,629,746,225,723,856,398,455,
464,376,338,139,511,053,188,695,405,483,129,785,392,955,417,169,814,923,744,
259,759,034,811,528,943,743,875,498,841,758,656,173,771,070,732,695,462,253,
420,109,486,620,497,605,759,005,370,366,950,766,672,410,852,388,260,800,630,
548,429,758,053,636,445,690,339,116,530,557,605,072,234,021,809,579,903,803,
709,143,167,360,566,657,498,690,297,340,388,795,511,294,918,341,485,796,250,
556,857,218,280,798,102,211,192,641,949,342,446,216,286,649,086,569,872,257,
007,887,127,050,043,518,358,385,975,420,338,785,840,920,072,339,457,023,816,
495,532,298,844,945,445,563,492,131,034,847,556,899,608,876,934,902,176,631,
518,364,413,422,759,291,427,112,620,415,310,134,999,893,484,868,012,126,742,
707,825,523,370,577,749,885,425,420,481,855,411,857,792,709,477,249,846,326,
700,399,959,475,346,661,303,694,686,675,592,826,495,304,979,682,279,237,427,
322,144,143,769,860,805,715,032,332,254,847,098,524,495,424,134,600,412,296,
241,647,386,694,552,636,755,754,275,128,418,282,299,950,487,596,702,076,445,
420,245,819,987,786,586,473,387,918,935,356,847,587,636,905,479,126,320,532,
438,650,821,022,119,900,555,760,224,597,113,233,239,461,658,450,515,542,154,
780,626,132,363,364,714,863,294,884,682,633,482,020,368,507,415,037,842,393,
245,724,513,138,120,170,097,703,086,270,117,660,974,508,413,996,557,391,647,
192,240,378,428,707,888,312,601,042,085,767,262,924,033,555,138,062,606,771,
954,922,022,404,217,264,332,488,984,982,128,897,992,958,458,700,402,917,772,
605,402,401,403,867,719,131,282,182,244,588,778,060,781,828,576,308,364,195,
692,017,933,780,014,952,610,955,254,366,394,959,096,278,593,248,880,887,541,
249,919,513,681,262,109,581,375,755,437,312,017,539,255,823,204,438,586,466,
228,691,024,205,239,522,887,169,424,361,050,325,071,818,051,908,370,291,771,
397,078,584,979,509,521,581,851,374,981,649,449,450,904,296,819,880,169,986,
799,902,400,015,927,640,701,247,932,144,900,513,037,811,822,855,785,038,220,
539,388,204,179,092,283,579,730,998,635,130,232,555,908,782,831,310,316,787,
344,266,491,146,581,972,294,952,515,260,886,556,924,653,704,252,701,784,858,
449,118,027,965,710,082,395,726,914,411,769,651,325,703,032,301,360,369,665,
192,029,802,748,955,003,665,182,668,863,188,397,871,446,740,690,697,608,402,
769,129,551,176,385,151,827,819,014,917,879,542,216,696,392,214,317,890,961,
305,612,401,151,190,708,808,746,531,883,058,704,949,677,594,128,162,327,291,
804,266,746,343,998,852,642,822,372,436,881,155,967,985,210,717,507,078,740,
335,128,212,124,973,418,714,532,238,425,159,939,585,591,052,342,760,379,238,
118,501,862,569,188,931,779,298,467,990,342,870,393,887,417,507,781,930,982,
661,359,565,601,121,660,508,168,498,886,848,848,831,135,481,536,654,094,644,
987,917,617,522,327,639,265,415,236,714,816,544,225,113,237,864,420,569,260,
912,343,595,574,255,246,304,425,084,913,144,014,768,496,629,779,020,129,938,
640,660,117,464,694,558,758,043,417,529,025,230,514,082,096,629,245,766,384,
531,073,147,514,716,242,604,096,830,806,580,081,255,364,083,731,125,920,348,
293,911,021,241,652,350,285,732,044,925,418,365,276,916,938,869,555,734,704,
781,823,027,869,021,819,241,774,996,362,292,108,499,767,962,540,738,445,328,
434,801,106,040,484,088,695,904,300,621,558,477,618,747,366,753,924,329,933,
157,127,143,044,800,884,637,438,925,750,438,125,005,008,149,887,073,462,291,
140,413,925,493,023,546,125,437,634,496,227,809,080,434,604,860,534,174,321,
052,966,085,417,346,102,528,792,680,647,935,973,124,806,765,948,634,687,909,
030,955,888,118,205,433,220,551,472,778,675,909,291,673,944,246,164,536,027,
543,441,113,700,172,088,039,655,683,069,391,471,354,322,314,731,077,992,727,
962,001,427,373,742,956,675,096,115,062,597,565,136,754,771,499,569,894,431,
348,390,520,571,893,428,395,200,220,906,199,734,275,647,849,535,856,952,195,
177,412,950,440,120,030,384,596,118,143,349,242,271,477,067,476,557,416,083,
936,393,374,576,971,049,601,906,570,972,990,474,995,790,920,125,354,374,038,
200,738,974,070,555,067,102,847,691,325,649,591,209,469,973,500,913,088,804,
435,081,744,067,511,085,284,423,714,608,674,866,590,937,492,784,364,806,755,
934,957,990,161,389,167,142,021,501,489,870,789,492,900,546,115,374,885,793,
083,326,748,010,475,839,901,918,475,479,337,737,095,562,524,671,765,856,408,
192,551,661,346,305,133,767,282,658,711,416,672,489,584,515,979,574,517,543,
694,895,433,810,891,545,083,946,752,081,900,930,801,069,283,630,717,748,409,
196,843,998,157,662,527,259,132,105,836,147,803,725,175,395,484,633,501,977,
310,001,996,989,426,811,832,575,040,880,226,703,850,958,491,718,778,774,945,
608,448,617,258,277,452,600,203,214,014,491,000,364,291,495,773,507,832,851,
498,643,844,624,556,213,991,588,346,834,746,642,596,870,830,732,486,715,610,
164,313,260,957,457,056,741,162,194,527,326,990,872,306,467,335,891,528,807,
714,985,956,021,240,778,607,811,779,081,200,673,563,982,643,910,610,502,953,
518,166,861,257,178,460,667,355,334,675,521,565,535,813,742,990,484,684,951,
905,571,505,393,238,957,484,925,930,106,392,142,684,725,110,139,583,984,344,
445,817,757,013,401,514,348,155,346,906,160,306,569,079,945,818,678,181,070,
062,118,125,202,547,350,724,660,319,224,606,261,653,607,153,900,231,469,660,
047,930,712,704,317,486,932,464,568,924,825,522,671,302,801,255,566,484,649,
140,388,849,243,767,997,357,917,848,914,559,612,959,963,198,456,706,313,032,
630,182,830,130,124,119,422,255,665,680,473,139,138,915,327,930,621,567,646,
180,870,987,395,303,021,826,745,480,796,811,061,825,871,837,632,816,087,211,
083,265,916,377,191,424,023,419,999,595,258,005,200,596,428,024,467,125,542,
510,615,069,741,174,493,594,005,679,779,657,908,845,699,465,746,919,015,669,
155,074,410,956,067,124,308,906,333,874,647,973,008,427,132,979,062,064,141,
051,778,631,669,406,895,838,793,931,751,914,828,195,919,841,284,687,456,088,
311,434,418,395,965,188,459,541,819,370,982,603,514,545,193,555,952,243,363,
316,959,763,606,484,576,834,399,897,565,616,890,332,060,658,084,506,170,753,
198,955,598,898,132,035,387,811,019,599,316,511,395,740,060,651,142,271,282,
894,697,979,316,320,929,831,114,890,784,775,045,032,749,592,215,041,591,953,
493,755,767,554,419,031,659,858,422,536,507,930,014,816,383,261,787,710,539,
820,199,466,524,197,590,446,738,982,175,846,402,502,405,014,359,091,148,817,
862,736,108,680,121,545,691,181,414,366,357,130,824,285,543,965,631,824,491,
536,263,305,966,216,913,009,620,492,162,238,583,218,573,049,260,465,407,863,
633,332,939,369,577,556,531,210,584,199,331,367,229,268,641,644,618,078,878,
904,841,519,388,487,023,739,423,807,172,820,011,555,811,449,750,727,075,049,
893,226,762,062,615,227,704,670,470,167,518,617,467,569,006,078,253,310,151,
906,625,122,306,456,308,343,369,318,036,320,056,072,305,753,203,898,529,596,
257,870,170,491,481,959,855,300,779,542,036,871,135,127,096,959,274,395,822,
063,615,557,150,722,142,559,988,745,198,139,862,860,590,542,881,708,113,475,
186,032,460,797,392,560,824,334,219,347,497,435,516,185,525,004,347,425,241,
206,231,495,247,227,602,666,550,409,165,957,938,749,455,793,523,876,339,668,
942,356,060,047,564,187,867,622,945,089,316,562,438,724,596,548,493,226,710,
544,887,390,740,348,245,253,087,640,852,430,931,364,431,226,601,215,260,865,
632,393,719,756,263,747,367,993,084,367,100,645,001,481,143,832,275,695,107,
339,280,569,252,079,548,951,694,166,350,358,384,773,565,880,913,752,333,919,
922,195,422,904,889,030,154,882,183,150,718,850,901,751,954,123,043,640,070,
830,715,098,902,086,995,063,722,019,951,562,248,727,569,614,743,610,545,145,
091,657,220,910,027,778,268,758,219,148,481,444,116,994,002,425,609,985,076,
837,516,276,993,101,674,119,591,402,096,299,256,298,027,444,526,954,021,035,
739,263,733,240,198,922,259,988,280,054,089,280,922,027,710,654,884,349,103,
223,315,071,702,797,413,877,504,374,386,790,992,553,629,934,976,118,294,397,
054,175,274,388,339,397,656,854,575,850,187,950,600,463,497,179,548,342,574,
738,386,296,658,868,013,202,964,973,674,357,941,008,080,425,290,463,351,669,
756,465,432,605,862,043,224,231,985,086,070,588,578,073,652,177,862,249,320,
892,960,014,652,241,468,586,083,613,063,974,049,278,182,560,783,348,149,083,
316,997,206,297,247,021,726,345,074,626,498,264,307,783,337,120,242,149,996,
155,126,652,309,742,391,310,673,370,241,534,230,540,232,608,516,556,752,999,
363,986,221,221,933,636,967,632,351,990,862,060,886,232,313,877,519,361,167,
647,406,038,933,198,764,733,426,254,762,729,379,058,783,101,361,874,722,213,
933,443,265,892,112,569,228,095,248,307,060,952,913,785,725,040,510,659,099,
332,979,593,012,819,011,927,250,445,275,439,870,578,521,250,827,976,325,128,
658,774,823,887,469,766,500,497,648,349,747,719,964,401,444,428,396,637,431,
616,191,306,598,660,103,768,304,899,981,568,407,781,993,664,301,948,252,924,
111,844,770,472,715,074,759,129,320,650,465,579,908,523,851,096,702,326,812,
083,782,389,472,824,333,785,417,943,939,428,340,543,617,092,051,457,498,145,
979,582,157,417,008,546,564,861,447,095,193,819,365,048,389,748,666,255,069,
786,023,052,845,606,023,134,006,972,741,962,883,187,919,947,948,490,266,349,
955,688,002,523,189,556,148,810,017,360,193,804,134,438,233,625,455,853,389,
565,852,486,588,331,510,294,071,042,861,007,265,148,895,361,699,062,596,852,
989,855,256,974,326,250,839,288,012,677,753,631,103,031,060,033,815,955,944,
783,632,464,437,924,512,665,428,962,888,589,099,478,806,912,517,538,038,080,
742,663,217,702,327,655,548,295,892,784,752,229,899,083,187,920,354,299,096,
393,032,966,666,063,551,219,801,639,803,836,480,985,387,215,103,610,222,717,
925,530,766,091,987,592,501,548,738,152,405,695,550,953,348,049,637,213,131,
008,579,598,798,385,839,605,285,947,665,368,696,989,170,271,498,466,050,479,
774,530,394,827,401,460,289,551,220,743,858,828,921,942,448,292,088,509,766,
176,120,809,228,227,888,303,295,119,796,791,446,134,976,110,254,758,366,913,
695,379,398,458,172,594,861,738,383,493,236,243,681,029,159,359,074,435,867,
749,287,001,240,723,949,234,862,333,382,537,902,388,586,189,556,263,164,237,
803,122,525,703,480,941,743,219,804,621,878,192,491,472,181,793,293,972,968,
937,187,132,692,440,247,832,501,467,071,426,872,995,667,571,351,851,874,665,
837,186,399,921,994,244,046,325,548,130,820,644,346,513,760,032,529,612,996,
998,144,523,382,256,918,676,452,335,406,617,608,521,499,673,279,077,789,489,
144,137,431,952,969,862,501,464,866,089,917,238,117,977,359,877,169,421,251,
226,324,902,726,080,617,136,943,655,127,029,330,244,703,987,080,614,065,176,
302,511,049,913,584,624,007,857,806,323,143,772,590,288,422,177,323,874,494,
932,433,667,978,218,261,615,230,785,519,893,432,944,547,089,415,656,464,419,
703,912,761,512,675,336,616,213,366,796,138,825,921,410,700,408,443,191,049,
363,359,059,604,717,982,180,707,824,367,424,710,917,394,427,208,764,944,242,
837,325,336,877,150,015,617,486,625,500,611,466,707,707,082,848,551,127,248,
398,020,121,343,724,488,524,793,139,151,774,376,587,499,745,012,758,725,321,
174,881,439,999,030,013,612,261,866,104,568,929,695,861,059,541,011,911,641,
462,017,478,332,858,908,807,995,654,710,002,320,498,522,841,034,647,870,059,
385,719,844,590,404,586,117,529,316,490,519,097,448,960,944,405,876,596,984,
829,288,111,464,131,703,559,210,313,769,218,242,838,641,445,182,641,463,473,
576,869,452,968,752,117,868,853,499,551,783,468,726,044,636,782,736,458,690,
504,269,849,608,899,483,293,306,877,593,773,899,851,414,527,969,763,817,468,
329,125,019,403,694,065,618,492,236,807,643,171,895,728,671,751,537,055,741,
253,289,003,796,522,136,885,921,835,375,956,251,204,113,553,545,817,719,034,
830,030,067,062,363,549,645,458,337,012,352,124,459,731,807,516,897,317,640,
980,984,048,552,974,166,569,168,339,373,361,823,911,534,627,897,886,775,564,
817,780,775,315,130,471,738,837,372,568,971,555,379,031,486,629,194,524,407,
850,406,947,164,601,808,025,655,030,016,353,359,456,005,448,479,720,142,560,
989,529,538,462,425,932,581,199,784,386,451,472,693,796,511,047,325,033,889,
533,252,832,359,011,272,837,821,716,714,744,239,239,437,712,746,040,769,764,
875,816,666,109,160,719,926,727,646,750,644,720,238,096,328,725,068,284,696,
491,847,466,988,341,708,855,354,508,880,782,755,750,896,948,983,676,632,246,
736,988,600,323,503,363,476,685,220,836,050,468,198,594,069,028,001,255,981,
077,619,434,314,031,448,132,290,935,600,069,862,251,738,282,394,455,803,791,
334,045,728,494,345,894,855,130,746,749,372,058,587,183,050,871,443,845,159,
905,932,509,111,029,085,400,054,077,136,504,657,208,528,552,566,800,209,241,
356,748,187,317,961,186,364,735,255,230,614,521,674,878,531,600,850,576,558,
891,781,271,567,997,174,399,851,689,902,324,648,475,127,804,238,314,867,710,
143,375,536,875,139,844,070,282,538,000,078,487,147,809,879,220,549,659,500,
764,906,813,326,952,525,856,700,228,960,308,019,400,894,694,751,021,364,406,
843,813,534,823,348,652,585,766,250,167,435,508,838,520,981,929,370,937,133,
858,312,146,831,560,861,307,980,483,252,589,550,791,996,773,006,400,649,933,
368,497,015,875,951,883,671,455,788,551,874,870,654,292,721,329,666,592,594,
028,041,423,279,904,220,549,071,289,879,724,821,743,644,303,909,816,894,231,
129,989,732,900,141,310,168,143,706,834,268,565,105,699,339,852,441,145,964,
652,922,824,126,596,044,080,705,507,043,280,494,278,682,678,730,522,244,329,
879,555,184,263,022,252,949,614,311,471,962,010,560,187,549,362,222,605,706,
140,802,180,199,985,358,779,853,462,930,409,493,187,205,214,780,497,182,208,
578,742,626,230,838,202,908,968,371,180,856,395,747,645,891,143,053,617,247,
539,021,827,189,233,581,268,504,199,816,815,851,135,490,650,574,852,584,389,
483,752,312,201,014,941,316,283,211,226,107,395,356,541,829,977,560,488,627,
986,042,670,446,451,329,309,230,914,962,465,914,151,735,373,811,706,170,354,
158,540,495,637,773,732,395,313,268,180,551,973,696,193,999,299,671,919,918,
532,573,419,465,249,511,127,260,200,546,808,355,010,460,050,689,786,790,897,
094,265,288,948,100,861,179,102,547,117,354,098,319,361,881,062,242,009,490,
011,540,112,086,313,536,115,308,501,377,323,780,511,445,123,805,801,025,227,
236,529,945,259,882,248,699,633,616,341,824,938,721,877,913,571,056,307,577,
289,983,220,706,832,815,920,187,285,216,275,098,788,428,906,680,704,387,881,
759,654,721,175,753,369,712,952,793,947,639,554,078,092,224,880,052,485,768,
964,992,230,343,028,197,072,727,363,657,854,182,324,734,327,560,203,492,425,
057,914,336,057,993,689,322,343,151,072,283,897,263,218,736,735,748,822,427,
024,788,815,904,394,662,456,420,731,666,796,673,158,038,675,910,627,378,368,
045,338,326,211,717,947,582,537,711,432,179,796,522,915,690,502,620,936,511,
966,818,897,724,411,300,020,600,773,667,063,180,030,217,558,974,541,113,370,
515,920,772,553,315,069,470,872,801,531,157,862,945,224,228,648,173,509,231,
326,047,907,999,338,038,470,872,511,687,166,229,316,686,248,023,662,870,076,
371,683,171,500,718,348,784,300,955,609,063,820,004,489,758,424,764,358,160,
526,783,575,580,792,039,766,320,048,712,290,472,321,616,715,055,221,711,591,
450,560,597,829,787,736,819,516,674,935,972,791,678,825,358,529,610,548,198,
172,807,550,336,000,822,291,456,600,257,455,478,090,509,777,544,416,854,766,
117,276,014,899,639,485,322,906,499,875,258,500,452,821,788,374,198,980,637,
435,652,220,774,126,053,110,495,577,182,473,983,803,313,928,432,581,099,115,
128,817,808,015,987,017,024,965,458,992,316,591,253,334,502,736,672,621,871,
552,410,755,802,124,723,753,107,689,476,341,014,237,260,114,146,977,015,818,
393,852,795,419,354,468,493,149,252,840,524,255,748,321,961,683,404,615,286,
169,851,990,163,276,114,232,242,274,470,164,568,978,235,892,393,722,487,784,
588,822,691,368,839,809,687,243,027,601,903,321,734,337,858,615,052,117,281,
763,466,970,744,271,919,059,928,114,091,129,008,352,937,638,569,965,562,616,
876,767,612,130,796,530,861,353,397,365,992,646,455,436,173,731,352,494,058,
221,904,492,077,008,907,435,771,755,790,842,231,011,295,395,752,824,379,729,
248,387,506,607,813,269,812,207,000,701,603,392,213,335,282,915,561,849,628,
103,230,790,377,356,747,651,324,192,634,854,948,015,165,230,876,566,900,597,
780,928,412,549,188,345,511,768,162,720,483,771,857,769,749,860,131,664,975,
160,433,806,977,291,945,416,789,743,533,880,519,721,416,025,377,282,554,898,
807,849,446,411,427,196,747,837,627,871,015,113,472,366,158,773,464,187,849,
170,668,303,086,123,274,460,161,839,451,018,481,654,160,233,375,207,813,409,
678,064,620,587,010,001,209,861,772,855,791,298,908,685,814,104,848,050,042,
014,846,170,331,104,587,981,187,650,919,626,266,330,637,310,669,244,578,151,
108,758,902,834,155,923,765,977,730,586,463,998,131,854,590,594,796,614,537,
554,613,260,976,146,086,945,401,317,110,549,278,917,440,403,616,352,670,269,
098,763,792,243,322,104,025,133,596,255,197,463,407,206,515,240,317,511,657,
846,614,894,167,384,878,548,655,410,452,584,712,102,349,402,461,195,233,161,
752,567,017,068,827,220,930,161,871,279,071,240,269,455,792,696,694,844,972,
955,166,979,797,602,449,367,478,775,462,266,344,833,897,505,435,254,690,446,
855,361,813,746,125,670,224,125,114,447,988,708,012,103,248,115,881,447,138,
176,568,141,017,055,546,387,855,702,731,207,963,139,568,722,801,139,207,026,
950,467,130,999,161,923,235,063,487,144,985,559,515,211,377,876,106,254,309,
879,458,974,277,973,777,977,766,177,904,005,340,120,426,081,987,690,116,557,
402,328,408,599,279,419,156,471,912,199,342,471,298,577,675,839,376,949,610,
902,288,163,748,216,659,326,309,468,343,344,170,701,073,178,120,444,896,388,
775,233,330,795,497,272,968,133,670,378,852,509,523,948,568,804,320,389,509,
625,231,207,022,363,425,353,000,749,683,671,498,773,654,663,656,260,998,414,
988,845,240,270,698,586,837,444,827,148,203,735,672,177,810,954,704,699,345,
784,302,721,715,571,388,556,736,612,859,560,618,396,143,952,784,944,943,274,
396,132,327,373,003,954,767,998,525,507,609,369,577,053,836,733,907,552,474,
718,553,862,880,673,790,483,133,195,585,247,660,265,767,526,571,673,563,169,
530,476,563,624,952,689,225,541,327,370,121,895,787,340,838,359,493,243,719,
593,486,336,994,937,745,606,504,445,538,091,333,038,132,361,923,196,026,914,
475,634,261,710,515,595,248,402,381,055,033,916,169,872,023,296,241,682,583,
422,036,337,767,757,031,096,742,157,982,706,004,764,617,545,410,613,610,042,
209,360,542,864,602,320,317,723,966,609,108,494,771,995,138,438,438,249,258,
248,324,971,386,440,195,340,238,252,251,513,487,316,301,537,687,698,857,234,
692,151,039,284,197,848,767,204,098,378,323,805,438,040,470,939,282,636,309,
333,397,424,947,040,935,350,394,652,784,089,771,959,730,642,552,105,426,463,
319,734,231,913,020,827,719,979,242,748,067,310,725,453,382,959,566,160,029,
986,638,968,953,315,371,326,354,648,789,026,160,076,042,146,700,034,903,743,
464,293,170,966,262,191,532,398,159,003,506,034,654,377,938,136,999,153,374,
693,673,327,361,694,036,373,994,444,736,596,780,191,511,575,752,960,246,064,
854,775,785,484,816,167,706,200,066,037,977,689,964,607,652,082,912,520,674,
359,224,235,522,622,228,282,362,768,522,785,468,081,176,678,307,293,316,448,
261,303,263,919,672,643,064,310,174,649,134,250,892,924,102,525,642,340,954,
345,054,749,334,938,592,855,648,456,825,072,579,181,568,844,369,973,348,451,
870,538,683,241,014,949,501,580,600,275,147,519,185,336,683,389,770,510,793,
714,531,372,727,972,897,929,108,258,157,655,583,653,814,776,872,294,196,810,
283,018,728,980,835,567,948,571,864,851,663,809,094,683,397,102,876,067,961,
123,873,344,301,530,723,411,939,428,523,648,624,269,263,674,833,999,172,943,
075,048,372,565,957,393,110,585,654,686,973,445,920,220,739,926,573,438,109,
838,050,133,303,706,843,943,919,370,813,947,105,996,714,715,637,856,126,622,
928,261,859,239,512,797,673,656,280,340,839,540,751,357,517,754,570,441,088,
529,104,064,888,300,700,913,951,824,492,123,926,927,231,897,498,253,877,767,
588,972,997,704,912,252,592,443,215,464,900,362,378,153,273,430,399,586,312,
642,788,629,697,518,233,221,079,755,132,571,497,523,639,315,127,663,443,197,
984,075,226,715,671,108,677,876,632,177,091,200,642,979,837,067,574,554,003,
389,979,362,041,010,721,987,270,588,235,138,988,636,629,382,420,288,550,564,
359,819,568,275,572,760,358,388,981,764,109,952,527,865,468,074,213,482,319,
091,903,109,248,191,327,888,627,974,219,277,718,247,753,939,757,507,914,284,
133,380,010,451,847,034,421,917,125,324,672,962,176,660,022,155,803,082,708,
269,473,928,714,074,292,253,663,783,716,113,991,632,368,515,545,334,815,224,
090,064,164,025,658,723,560,656,480,895,625,191,114,812,174,632,956,117,344,
143,299,149,139,538,376,714,761,953,015,654,636,350,317,673,584,957,624,303,
704,975,733,414,705,082,692,396,853,945,192,125,135,582,336,822,474,130,977,
022,852,638,060,863,220,551,238,618,376,687,004,721,558,099,055,813,110,151,
879,963,878,245,086,565,775,854,077,390,446,704,142,479,371,070,166,745,735,
533,456,198,035,816,559,545,719,816,709,959,545,950,354,676,381,166,189,207,
419,280,916,969,886,739,995,804,135,014,490,917,872,243,801,523,270,845,651,
473,104,586,915,233,497,815,000,978,549,039,698,815,609,824,285,674,274,935,
942,620,448,725,102,471,561,253,547,130,242,058,668,729,386,174,152,755,728,
445,805,127,382,047,354,560,394,782,432,546,361,243,468,619,738,383,928,547,
307,625,594,147,602,767,074,208,830,088,347,267,487,479,379,724,179,030,221,
884,908,664,259,552,026,518,038,868,582,110,272,583,891,704,770,842,414,023,
021,737,949,185,418,565,466,411,662,060,178,283,459,077,190,564,769,564,906,
774,951,622,438,189,245,280,403,997,676,794,981,092,870,940,715,607,114,693,
995,571,756,091,078,040,517,053,901,722,157,397,702,347,904,606,278,748,477,
197,395,064,718,029,922,982,701,470,016,418,391,792,102,978,794,613,033,926,
563,494,693,273,025,543,364,062,639,946,613,771,120,064,317,430,441,498,229,
313,208,428,925,513,881,374,946,700,173,384,230,653,573,330,324,791,112,860,
304,215,348,751,848,277,752,349,445,219,259,201,997,250,051,496,170,088,174,
025,933,486,494,409,971,071,447,955,754,560,782,062,406,573,003,539,555,425,
510,873,446,717,497,846,624,765,516,916,564,598,613,179,194,656,192,609,685,
868,557,560,190,978,609,026,963,675,454,124,688,089,721,776,979,906,496,054,
348,809,567,275,790,483,865,810,634,366,486,802,819,305,794,622,101,137,676,
129,635,128,895,821,680,668,792,560,479,134,689,813,804,874,393,328,483,088,
100,823,447,744,164,986,253,977,642,256,425,515,671,263,123,063,468,284,987,
448,744,210,827,529,172,946,801,610,046,279,856,823,989,937,829,790,317,763,
863,931,434,109,353,747,931,525,409,519,713,624,756,589,518,812,168,914,610,
380,787,862,357,884,474,615,061,763,409,286,985,877,356,538,359,419,456,508,
751,731,007,652,928,885,176,837,201,173,383,333,393,835,623,121,957,622,239,
068,631,017,999,051,483,391,266,946,819,840,729,025,348,281,071,762,319,965,
040,363,383,042,320,236,770,738,246,136,716,276,491,078,346,057,886,887,208,
415,511,984,598,089,226,769,050,166,960,528,822,397,825,312,665,370,814,506,
586,092,782,615,757,478,492,848,177,816,069,456,922,596,561,264,083,981,485,
951,092,263,896,310,140,936,453,497,112,384,801,708,653,276,536,784,202,628,
522,380,116,087,541,234,896,439,305,100,569,123,103,743,765,133,375,227,787,
985,191,605,657,567,934,197,471,858,034,757,800,612,562,318,772,830,058,701,
909,798,814,190,766,542,465,876,200,273,928,791,097,077,067,943,308,622,853,
180,712,405,365,283,815,889,866,035,727,540,779,324,010,259,849,821,940,301,
987,821,139,236,613,230,518,806,144,202,610,619,938,033,921,969,290,485,270,
102,968,456,968,605,638,959,494,185,170,601,698,977,347,295,869,866,217,072,
608,006,501,341,486,291,891,600,958,399,523,172,938,867,338,021,843,626,102,
205,697,528,699,720,551,419,250,863,359,086,038,014,254,824,828,788,828,515,
639,077,498,701,890,040,131,271,927,325,810,190,366,346,038,726,965,749,405,
618,274,506,162,100,266,589,739,573,055,025,697,566,001,484,314,673,523,500,
919,476,471,568,774,984,732,370,827,150,706,044,505,480,545,632,069,435,294,
736,647,716,179,734,064,314,671,725,199,269,087,215,117,233,829,105,738,801,
030,464,344,780,930,170,472,070,210,580,331,163,675,719,802,285,274,786,152,
649,648,551,370,758,744,088,346,466,454,318,035,389,497,621,374,177,511,997,
037,737,081,628,274,794,189,108,573,680,326,030,960,958,285,905,932,728,453,
113,495,671,256,939,838,672,941,419,410,241,668,126,511,482,799,819,036,360,
989,678,586,593,697,408,545,478,297,147,603,768,833,679,368,041,525,143,393,
729,202,580,038,002,276,707,942,938,029,036,099,672,887,753,640,071,592,615,
873,224,353,956,415,873,495,503,912,756,573,251,428,539,164,734,269,276,785,
521,541,404,683,881,755,055,178,449,071,947,598,101,043,834,097,212,428,874,
774,846,118,425,016,265,773,562,770,254,750,224,621,254,191,862,616,222,645,
841,174,660,963,836,190,250,677,748,576,324,299,348,722,583,914,872,791,771,
674,407,393,911,915,043,990,348,491,431,922,578,311,666,683,177,724,025,834,
509,745,885,706,497,732,976,045,011,380,580,558,516,226,003,904,134,099,236,
544,274,263,526,157,907,855,075,041,429,760,970,171,079,444,338,153,361,036,
613,353,825,563,470,965,804,483,164,126,918,211,994,222,364,653,633,414,087,
104,875,931,431,603,268,906,156,335,727,961,093,489,889,681,339,844,295,101,
796,440,352,553,717,741,237,656,301,537,739,038,615,071,109,377,305,457,559,
105,967,855,061,683,871,385,647,206,041,017,040,238,506,781,625,823,005,825,
338,171,525,310,300,568,572,101,485,330,238,052,137,573,965,314,750,165,621,
345,787,599,114,206,594,594,858,319,248,558,108,156,444,930,580,817,830,322,
338,354,933,402,781,506,549,734,045,116,582,375,287,614,455,331,263,002,543,
944,564,935,085,554,068,511,726,564,148,412,307,273,276,777,384,300,573,605,
519,747,256,206,145,262,539,485,756,664,927,535,286,709,504,362,393,285,157,
567,222,876,740,352,855,124,456,764,378,712,427,129,657,940,996,323,813,994,
623,142,348,908,456,726,996,645,910,282,772,140,574,149,266,467,224,684,437,
420,776,445,049,649,832,339,108,321,446,036,378,657,850,134,957,569,501,069,
420,782,083,726,323,918,221,076,019,778,695,261,009,975,863,718,068,136,735,
692,086,001,872,618,124,105,002,461,621,652,855,447,133,286,645,128,899,274,
311,428,053,187,084,280,432,756,989,066,764,778,823,370,190,654,686,223,858,
869,227,606,142,404,191,608,042,173,057,903,744,553,006,943,405,692,353,989,
261,429,351,539,646,911,319,361,169,162,183,714,441,560,189,224,357,672,492,
854,345,208,734,373,321,669,857,649,820,248,873,426,885,242,898,259,234,496,
549,254,462,487,730,971,982,447,808,781,243,356,498,969,186,095,736,686,571,
468,790,178,239,636,500,224,666,348,708,628,077,901,687,999,100,937,908,465,
233,745,330,318,269,631,184,645,634,150,697,924,761,001,066,375,253,354,580,
852,963,231,556,081,637,151,351,454,924,155,517,092,598,129,159,845,777,772,
381,651,773,475,178,774,278,249,302,948,520,717,869,748,325,754,786,746,819,
604,472,934,955,902,061,173,507,757,519,444,523,439,244,342,390,133,136,839,
714,064,162,741,672,281,871,100,904,002,307,918,883,650,138,933,816,403,984,
408,819,255,900,731,793,761,583,236,925,293,008,175,898,507,107,099,943,176,
902,929,975,118,988,567,041,315,642,813,802,616,900,090,054,215,366,343,424,
134,770,239,218,865,304,432,134,658,467,471,971,981,878,585,745,372,808,494,
606,717,229,132,296,726,418,957,948,239,696,165,065,688,492,216,951,707,328,
915,671,828,355,952,483,078,452,472,793,966,957,797,156,453,922,748,033,952,
092,408,376,682,605,903,125,309,398,231,260,721,301,050,370,032,790,703,101,
200,712,052,700,248,586,507,551,182,066,270,265,650,517,374,299,267,976,439,
100,712,157,270,805,431,846,787,924,882,485,204,519,493,838,950,024,611,095,
695,168,315,954,089,549,992,551,030,949,932,015,611,590,072,417,162,032,741,
788,336,718,322,073,382,799,615,891,190,609,322,924,299,169,414,038,361,206,
461,339,444,392,246,366,567,914,909,445,230,187,530,389,756,277,995,708,929,
164,819,947,031,764,512,847,272,668,198,500,542,075,459,028,026,419,625,278,
796,298,086,458,321,294,469,540,340,081,504,339,275,762,687,041,342,516,717,
025,739,948,595,658,919,342,604,878,765,449,076,739,410,859,803,330,115,171,
284,847,569,188,615,026,036,496,383,100,864,584,719,419,469,430,651,797,447,
443,069,920,013,177,973,164,244,352,644,673,032,828,407,240,390,839,285,987,
225,895,500,518,629,958,746,121,567,709,945,316,321,742,472,299,908,732,299,
064,426,193,705,508,936,860,073,607,438,911,120,527,613,785,479,852,444,958,
789,263,028,080,745,092,050,094,427,044,178,333,747,292,443,964,905,953,424,
892,387,048,527,979,551,985,586,615,015,953,271,969,090,731,029,766,993,055,
220,808,192,897,946,039,813,428,995,069,947,103,391,683,382,305,324,705,690,
812,510,849,942,616,042,017,378,754,231,076,594,731,443,922,915,550,155,481,
765,472,874,960,070,912,929,474,529,505,145,998,584,130,660,194,356,052,311,
735,430,906,791,984,847,808,366,504,761,511,863,701,876,357,510,062,556,524,
484,316,889,588,930,829,702,488,273,472,309,379,252,619,655,438,500,575,608,
605,877,782,593,554,794,537,063,916,991,762,779,569,551,750,543,509,450,676,
039,441,155,996,580,586,422,008,179,185,755,369,593,680,943,996,066,785,620,
529,246,980,042,684,664,942,400,928,176,877,187,801,103,943,202,279,744,219,
368,551,660,883,818,565,746,698,991,123,108,626,671,451,577,781,497,321,820,
858,807,418,807,342,896,428,265,764,244,088,734,636,153,357,617,335,531,809,
840,370,296,278,905,671,138,597,262,305,113,921,522,082,970,513,946,902,013,
503,810,853,050,035,405,663,137,932,004,464,400,038,693,617,199,116,389,940,
999,276,517,373,359,705,914,205,851,697,200,159,667,382,541,141,391,670,372,
917,946,250,604,520,383,223,585,216,842,592,014,497,645,963,069,793,343,093,
021,598,896,042,730,959,445,592,362,919,524,488,545,333,390,074,953,022,174,
491,783,957,513,185,938,612,158,070,395,403,276,275,235,248,307,640,297,077,
567,042,191,912,191,916,032,573,844,750,792,801,773,100,379,086,875,093,972,
766,585,107,065,523,232,192,781,616,144,326,502,645,215,206,067,059,095,737,
064,548,153,795,337,827,804,081,988,940,726,849,774,761,185,093,190,216,738,
591,855,312,946,759,642,340,702,864,379,518,777,047,334,737,366,723,061,538,
793,707,350,692,833,065,538,826,880,147,306,761,837,653,177,153,856,673,552,
111,851,905,714,560,436,556,818,367,807,106,476,969,157,723,493,401,277,752,
887,505,262,790,136,254,176,614,637,574,612,748,918,439,622,593,614,775,541,
681,020,160,332,924,337,867,336,029,078,002,147,314,714,485,508,031,382,372,
339,496,475,551,761,402,604,281,207,746,769,895,590,385,714,940,524,044,972,
512,582,117,120,296,320,331,378,579,360,181,096,848,270,382,349,158,015,574,
378,097,149,107,374,137,007,383,463,258,735,088,607,729,538,980,677,082,092,
746,907,107,066,682,971,509,289,239,468,206,298,602,988,833,538,092,269,192,
419,226,611,387,010,321,943,895,679,595,712,502,341,443,170,922,949,205,484,
155,275,208,220,320,185,418,977,084,048,869,783,487,833,372,484,501,423,181,
956,110,556,600,448,533,593,850,409,055,345,514,416,109,657,094,347,627,482,
110,131,255,037,410,514,873,297,045,152,373,047,884,850,753,974,996,381,361,
558,629,752,717,026,339,339,446,225,719,193,217,428,891,698,818,142,609,568,
375,174,386,749,357,647,721,939,957,828,614,723,692,582,163,864,453,225,729,
144,120,542,142,911,103,529,730,526,689,075,468,952,518,033,412,737,154,663,
552,945,530,290,164,538,546,616,415,777,715,430,457,737,059,870,755,754,890,
939,933,381,028,799,546,151,863,039,820,590,887,160,113,750,251,986,336,662,
180,181,987,777,908,451,858,936,232,949,629,745,899,695,947,547,124,715,659,
324,880,546,326,867,081,502,566,198,369,720,505,410,248,344,759,438,204,898,
122,133,194,660,827,970,802,632,346,086,760,243,025,256,865,780,002,023,817,
203,647,095,592,572,415,005,371,087,639,348,926,153,834,024,106,448,320,876,
351,337,593,786,190,209,858,230,225,392,030,923,579,153,114,654,337,256,184,
835,205,274,946,010,378,380,808,882,538,141,844,028,186,864,719,325,999,158,
232,766,349,966,560,779,224,425,595,167,090,254,217,414,617,046,275,435,415,
506,577,820,563,073,404,540,543,642,862,658,933,828,632,438,668,583,873,312,
322,621,260,012,751,995,375,363,926,125,397,513,424,196,010,426,327,523,984,
960,514,163,800,098,943,590,117,348,780,308,020,111,204,319,292,040,874,550,
722,390,078,050,917,801,479,801,333,852,517,844,871,924,050,466,358,088,862,
923,025,963,202,783,324,311,608,459,266,582,271,511,612,340,248,310,450,445,
744,812,744,141,851,503,213,219,582,508,932,527,609,029,779,328,620,731,243,
463,149,888,055,750,314,414,831,782,434,611,455,018,432,075,206,998,536,809,
081,399,354,384,266,148,348,015,274,834,787,547,652,436,760,994,557,166,115,
945,739,844,320,327,327,841,871,993,949,233,487,926,467,943,166,933,545,915,
060,800,164,400,769,553,615,709,833,037,962,810,182,973,381,684,136,972,358,
897,248,675,856,899,816,064,488,476,898,567,135,973,317,744,857,837,515,257,
093,362,059,699,332,246,194,846,004,472,379,891,588,929,640,052,106,906,489,
202,813,952,001,637,506,711,395,360,720,252,549,521,723,177,379,926,359,065,
767,152,250,129,168,487,890,307,836,167,379,915,044,425,127,291,199,757,699,
743,858,837,062,943,783,197,232,125,138,809,749,860,601,755,137,570,433,008,
733,538,756,672,082,912,003,671,702,277,560,904,315,746,393,649,439,802,925,
567,939,663,367,736,917,112,531,414,364,959,337,135,819,010,002,491,775,988,
796,452,121,718,604,935,885,904,089,655,279,954,258,123,225,569,373,461,020,
949,604,604,131,952,345,982,195,837,232,929,405,989,598,953,555,661,012,426,
327,935,718,193,012,367,006,592,309,944,843,458,719,038,818,607,044,410,445,
544,008,704,481,065,982,330,278,991,491,774,758,179,112,846,280,593,875,188,
356,008,065,084,161,051,186,076,400,861,647,058,671,542,832,882,081,867,004,
911,259,582,632,324,749,153,370,820,875,709,135,675,888,600,867,493,904,073,
594,955,178,421,669,907,364,772,933,421,875,653,105,851,342,281,859,059,598,
073,870,036,731,376,150,035,977,252,350,249,205,756,030,181,361,312,318,760,
332,677,032,531,778,643,496,849,029,066,798,974,836,230,108,316,064,035,142,
605,031,481,384,498,294,465,207,107,215,026,943,159,221,432,341,684,312,142,
935,907,854,568,976,804,386,947,634,948,719,661,787,148,227,714,901,164,391,
608,399,754,691,365,440,592,963,435,133,061,308,227,643,464,838,494,235,682,
721,066,419,830,982,378,669,644,630,983,638,200,541,704,473,009,152,069,177,
096,184,135,419,070,176,175,952,030,596,891,657,917,499,008,288,103,937,022,
667,736,811,152,684,274,811,941,099,481,265,574,389,528,148,031,611,089,279,
972,330,014,237,581,613,973,675,828,085,545,483,776,780,594,191,411,159,589,
205,011,027,358,922,841,327,999,021,380,807,061,309,756,035,242,545,608,934,
628,755,122,010,351,217,306,463,070,360,853,493,492,040,708,228,884,791,801,
608,771,659,049,121,432,066,557,504,317,381,049,126,933,325,670,066,665,272,
684,862,034,080,807,491,991,134,179,296,931,831,101,053,223,746,315,056,058,
690,179,571,760,612,682,563,099,266,240,487,023,634,743,195,402,526,937,014,
597,773,327,383,895,397,730,357,790,797,333,776,283,838,328,370,862,363,807,
164,201,859,863,076,366,257,113,389,275,343,705,724,959,801,717,000,444,055,
490,435,231,664,472,372,686,446,516,065,545,179,079,074,358,988,660,005,508,
546,555,563,892,089,991,502,387,391,647,855,628,169,035,688,497,358,092,119,
251,369,563,823,050,849,565,220,794,200,936,236,639,353,699,167,245,666,704,
899,981,710,017,820,258,715,645,658,794,242,748,427,216,190,616,436,180,341,
691,398,966,286,328,350,359,054,347,369,168,414,523,185,170,094,755,785,895,
440,102,964,511,781,131,139,103,101,592,634,568,886,795,699,665,334,847,356,
015,610,449,415,796,757,920,097,213,112,901,799,866,147,322,418,138,891,478,
192,899,166,915,716,114,749,468,218,020,345,231,304,121,105,045,377,998,178,
667,393,441,441,797,996,741,929,859,197,996,951,311,073,226,604,832,573,561,
606,583,280,157,538,304,254,867,911,522,870,669,630,964,079,437,187,988,811,
092,598,051,576,064,814,294,401,831,372,785,023,140,328,087,096,853,068,554,
649,806,628,997,527,133,594,418,491,784,747,463,608,139,219,732,973,783,197,
243,093,620,982,594,002,769,776,841,321,760,296,740,016,627,571,615,966,552,
183,500,956,225,060,087,861,890,034,848,672,826,466,115,026,605,299,544,727,
157,931,613,253,708,614,836,023,928,362,877,145,722,789,803,837,704,888,566,
187,236,722,253,748,885,417,242,141,462,768,771,548,394,656,623,011,386,021,
278,606,700,971,193,118,392,620,188,112,130,267,896,036,018,071,551,656,356,
725,924,544,993,542,025,806,228,376,103,367,632,827,676,113,323,412,471,366,
696,997,334,253,764,621,782,680,500,880,936,111,008,598,540,139,834,621,857,
126,721,669,936,011,859,250,645,369,005,188,084,906,181,975,292,162,197,666,
921,740,148,555,300,610,302,646,491,165,286,219,274,755,212,963,807,085,968,
583,938,046,014,346,579,308,179,590,839,717,059,658,569,608,067,502,371,057,
207,482,277,642,376,040,902,589,793,159,672,617,775,627,348,393,688,196,779,
047,880,387,917,389,179,401,707,794,381,139,029,041,421,639,493,256,272,453,
265,482,502,303,793,616,181,032,864,893,568,876,792,143,544,115,240,645,308,
516,414,503,948,939,265,506,751,298,064,029,577,776,838,150,313,225,175,273,
055,837,273,729,691,675,654,611,867,987,788,991,688,763,431,320,798,261,607,
503,417,265,106,206,697,741,249,361,256,026,244,981,523,521,329,552,180,689,
445,594,693,908,114,884,821,455,824,746,341,039,617,477,005,377,452,885,359,
237,754,568,876,456,160,651,163,293,200,423,318,290,933,791,863,702,515,185,
929,861,154,218,147,127,129,771,601,274,930,914,978,212,690,821,671,316,544,
177,884,257,001,562,977,775,556,570,939,159,361,244,911,848,190,040,885,093,
620,342,940,289,122,771,234,509,981,269,605,936,026,126,260,254,005,362,313,
743,392,107,059,173,132,340,762,870,972,776,086,072,268,331,345,228,469,737,
178,164,962,276,741,078,791,826,470,374,539,447,495,206,287,224,652,551,749,
822,592,785,622,115,735,913,964,389,911,578,358,274,985,484,138,869,553,287,
173,542,106,173,539,810,719,661,926,107,719,834,628,369,917,030,008,719,724,
020,266,739,815,390,588,066,891,070,012,548,300,773,689,380,088,921,194,331,
954,516,904,274,163,780,088,887,913,167,703,714,999,554,000,554,320,840,676,
487,029,066,482,945,042,263,124,431,573,609,190,056,173,692,594,614,286,050,
191,782,595,849,407,695,351,979,687,027,245,387,214,671,224,686,084,318,747,
728,402,283,622,922,159,384,125,413,442,512,919,484,007,689,751,833,079,786,
033,181,618,065,251,971,999,363,061,048,965,471,230,824,577,743,100,813,561,
640,371,151,646,249,758,693,555,230,382,733,734,655,540,403,338,728,168,428,
420,592,891,642,363,725,157,187,259,306,562,611,873,095,832,894,979,005,739,
986,608,219,491,303,290,018,166,278,962,175,750,067,531,640,808,693,614,999,
242,829,072,408,582,408,687,369,732,838,516,280,104,138,625,471,522,160,408,
590,810,489,407,138,989,220,826,446,095,098,975,749,649,026,844,836,293,734,
750,352,870,900,480,769,117,134,993,612,879,784,149,466,513,456,730,690,568,
261,541,148,058,954,950,304,276,880,937,485,999,962,083,841,885,228,187,633,
195,856,225,974,803,547,445,674,988,542,543,193,809,719,694,662,197,594,649,
762,801,416,363,867,015,421,343,655,522,886,045,394,315,915,833,144,934,287,
740,977,323,024,453,636,934,464,924,406,272,047,528,560,677,933,555,073,139,
247,618,253,003,282,256,743,526,814,258,659,654,742,077,284,234,759,867,416,
937,833,300,952,003,279,759,871,529,402,300,721,465,811,637,673,686,861,775,
613,388,788,894,151,178,184,050,728,242,950,131,144,986,663,797,264,173,752,
629,033,185,042,183,078,877,621,291,933,242,882,153,611,454,971,913,850,614,
751,352,723,120,225,791,756,435,037,670,821,812,863,018,276,205,303,997,649,
911,253,867,121,449,876,753,688,814,569,542,502,567,895,782,253,149,231,397,
494,933,636,350,761,803,535,142,568,640,911,281,957,314,031,252,452,425,971,
603,991,917,099,018,011,571,707,052,591,584,934,207,231,826,984,930,494,488,
989,492,489,644,814,514,932,341,889,839,572,755,296,730,718,860,856,289,122,
983,250,835,629,934,762,110,806,161,947,291,774,050,188,086,749,823,277,594,
909,208,876,336,622,869,433,901,973,874,674,900,191,423,488,485,248,033,965,
520,465,794,791,226,065,461,566,048,641,858,210,490,703,609,612,493,379,730,
875,909,822,854,012,093,809,456,896,469,825,826,319,875,642,463,570,696,701,
865,805,364,598,904,892,947,397,115,186,755,633,707,019,208,325,055,849,730,
745,831,287,767,919,538,619,178,714,094,676,219,912,442,190,578,037,709,109,
668,811,027,499,435,899,579,796,430,051,203,251,313,522,267,045,990,578,127,
434,127,353,621,020,719,897,635,666,322,330,046,475,267,305,016,697,038,128,
452,067,438,546,927,508,842,621,502,066,759,970,315,136,092,755,226,076,395,
480,609,386,515,526,735,015,889,642,908,337,134,649,792,012,239,617,239,573,
341,690,296,851,067,455,123,151,995,872,209,596,983,403,793,320,849,657,354,
630,266,462,730,887,906,497,645,451,709,607,238,575,053,245,187,568,195,998,
394,199,703,771,107,150,318,101,931,910,894,841,763,830,523,128,397,153,166,
237,341,656,373,573,546,988,804,293,041,991,344,919,080,514,529,226,699,400,
668,759,653,963,477,992,116,350,921,372,839,003,465,517,373,759,993,326,235,
305,960,115,354,326,693,708,709,894,543,959,824,906,362,975,103,841,909,846,
254,723,285,964,333,988,811,046,651,246,581,880,048,358,502,382,059,940,024,
544,014,085,049,855,008,262,072,991,206,772,249,412,934,823,038,773,329,370,
739,912,795,871,277,655,593,790,880,356,825,949,684,169,083,752,073,792,726,
826,799,140,856,917,420,682,722,265,224,601,576,525,513,714,883,784,709,745,
173,780,626,269,926,288,602,050,556,999,825,528,481,163,483,532,964,869,137,
488,979,940,414,225,387,978,550,266,665,969,813,809,324,996,201,256,816,239,
783,674,357,743,440,375,128,464,178,411,308,312,264,732,758,534,185,346,280,
105,432,823,928,461,682,598,743,608,417,395,383,850,781,264,237,150,942,651,
251,449,454,409,609,615,955,939,415,865,514,437,123,246,800,903,652,125,956,
022,538,009,162,278,998,006,367,042,970,294,415,068,936,211,008,898,807,899,
482,776,548,061,536,151,965,249,296,568,997,252,133,060,861,018,073,132,442,
446,489,535,505,043,199,782,663,885,683,905,682,695,515,439,718,659,986,126,
713,409,874,097,040,311,225,755,237,610,114,731,772,341,696,305,724,767,089,
763,669,689,572,333,645,321,517,951,302,301,006,856,318,066,764,599,358,249,
087,317,312,910,932,379,195,784,110,137,799,782,121,246,705,443,595,379,632,
951,016,305,014,472,160,805,299,735,959,234,353,116,656,625,458,193,997,376,
360,242,202,369,708,136,129,492,833,930,693,981,396,697,247,918,528,869,731,
962,158,542,133,739,835,210,898,981,049,652,927,280,259,478,122,683,708,196,
824,571,877,411,855,694,404,048,897,790,811,598,480,457,833,844,433,230,643,
080,892,345,906,808,087,539,767,341,890,578,545,571,086,592,821,235,775,895,
535,226,121,285,052,937,985,446,884,969,598,667,570,782,372,284,526,842,636,
664,572,714,247,303,574,666,750,437,360,696,224,594,132,667,310,419,344,241,
550,608,611,256,226,470,948,531,516,365,652,696,016,575,170,162,460,795,281,
476,272,909,574,002,955,978,785,226,893,215,365,536,042,674,629,444,191,230,
497,799,345,723,159,034,724,892,271,870,123,175,822,260,804,464,836,930,300,
635,148,365,467,157,308,328,913,872,246,728,207,901,755,549,506,359,293,440,
167,170,953,556,992,761,402,723,229,760,673,978,226,686,281,814,344,791,287,
603,621,804,594,353,527,901,264,396,596,744,724,388,415,469,891,587,133,747,
330,487,374,613,598,089,509,089,852,161,366,490,717,586,064,157,832,989,864,
868,825,594,021,479,292,030,611,573,698,198,784,832,637,521,643,118,316,175,
328,858,308,644,037,887,384,205,210,539,535,812,852,112,576,063,314,335,671,
966,748,398,006,327,020,671,517,686,574,775,216,375,281,875,019,161,025,307,
423,501,140,043,302,329,668,867,523,344,731,305,092,925,182,996,271,023,415,
259,087,226,351,009,734,466,594,814,303,357,746,470,462,826,258,921,926,218,
969,113,577,735,044,981,731,293,144,069,808,976,833,367,731,007,292,978,621,
230,260,085,016,909,406,832,949,682,110,420,345,385,962,738,960,106,617,594,
117,394,508,579,999,471,193,954,657,255,858,078,448,050,807,213,121,533,610,
519,702,066,615,036,729,948,525,849,857,223,174,011,626,122,621,029,848,560,
690,815,465,226,334,813,131,569,959,959,776,384,089,880,194,132,098,310,255,
992,025,732,014,315,498,286,604,184,589,281,685,167,957,951,037,976,273,883,
071,206,617,889,252,173,237,316,801,100,489,694,826,323,153,204,045,456,161,
612,184,399,064,827,847,925,754,671,942,349,605,682,993,183,571,604,808,612,
757,438,329,476,441,589,739,979,390,881,295,540,446,486,428,946,482,005,460,
356,469,729,406,228,338,388,552,274,383,027,059,887,981,728,930,003,389,973,
241,364,978,679,466,507,862,891,877,475,842,338,876,445,465,508,022,759,686,
398,628,934,403,112,457,310,426,391,524,865,469,195,615,062,343,477,866,525,
675,621,968,802,854,593,947,728,986,095,166,820,989,225,637,055,488,519,500,
443,122,199,734,369,193,208,085,730,140,183,375,718,362,163,524,449,146,818,
177,414,967,985,695,248,035,603,593,200,188,572,541,065,331,472,102,141,029,
641,169,712,252,055,430,563,427,953,442,028,352,438,704,494,709,013,828,231,
241,706,561,497,076,287,693,373,676,793,846,069,767,354,384,959,177,596,103,
518,196,361,547,449,206,923,091,745,771,308,115,627,220,818,293,377,993,098,
928,664,766,072,979,278,007,262,875,479,038,152,660,133,526,603,339,426,423,
465,426,213,631,343,531,396,646,473,610,828,661,881,977,119,046,772,684,782,
364,272,851,056,085,529,232,228,655,961,087,954,611,650,312,804,730,512,327,
309,728,003,403,693,164,940,545,084,811,825,152,342,453,341,241,635,455,285,
296,876,196,929,459,302,220,444,235,837,442,717,554,621,090,379,643,815,898,
548,790,099,286,711,581,304,804,255,690,923,048,468,859,043,052,294,442,712,
801,797,220,304,507,819,175,809,177,942,894,386,047,533,502,729,151,923,589,
639,672,552,329,627,204,822,923,678,124,416,191,025,393,925,052,364,856,328,
752,982,159,964,470,620,582,199,820,114,385,301,204,207,448,341,798,978,198,
396,054,744,724,225,008,514,359,208,656,268,950,582,721,356,300,763,895,162,
314,417,697,330,481,537,855,968,290,579,544,131,188,630,814,823,617,487,564,
063,777,396,165,389,160,896,039,317,062,449,717,018,592,378,618,156,595,555,
526,676,384,354,949,303,765,210,686,133,534,922,185,281,500,006,743,384,507,
292,018,212,249,418,872,452,685,334,155,916,392,674,772,288,161,677,898,392,
541,146,273,566,346,989,761,007,189,228,099,828,163,396,381,839,481,071,231,
573,057,689,747,099,391,447,553,065,859,666,604,237,998,173,621,995,507,104,
779,665,752,211,587,341,154,631,304,678,740,337,264,595,985,148,791,181,372,
389,012,555,111,741,307,961,267,170,309,329,616,488,791,660,283,220,129,673,
644,725,407,298,357,765,176,514,287,395,333,275,278,243,839,335,067,090,725,
274,037,137,984,773,360,440,504,044,156,168,373,465,202,098,899,806,150,095,
624,399,954,250,069,938,203,512,189,056,214,456,671,678,344,587,179,836,792,
888,834,333,779,231,152,148,252,330,341,338,015,318,656,221,039,701,594,144,
227,706,619,349,701,478,169,781,920,012,608,652,539,419,475,243,325,627,452,
616,552,281,224,114,804,948,868,064,206,772,700,184,493,943,002,352,100,415,
376,993,267,556,594,072,060,734,216,232,871,294,850,814,401,863,604,496,088,
821,890,507,598,815,123,347,660,676,183,734,127,036,717,410,590,632,142,814,
977,268,632,720,642,797,593,993,803,550,445,728,416,999,198,726,403,933,297,
714,766,272,441,957,865,514,461,681,624,245,316,368,829,624,816,713,366,884,
490,356,815,568,262,679,748,262,074,633,794,649,138,467,870,791,897,731,660,
027,548,962,427,724,049,124,527,129,433,142,144,460,849,101,586,769,578,121,
084,165,237,240,726,920,950,240,570,118,872,417,855,112,485,048,199,818,246,
631,605,295,798,878,597,411,147,018,869,514,731,734,889,005,313,937,968,206,
096,231,851,387,949,573,406,253,953,352,970,665,680,523,544,999,233,275,768,
245,471,299,542,990,691,854,895,151,506,733,557,093,684,165,133,209,093,537,
359,982,881,055,474,504,877,037,436,909,680,234,328,934,059,775,166,064,730,
946,935,483,009,208,425,835,701,322,296,090,251,239,391,881,654,230,106,723,
563,306,424,515,879,934,070,591,950,210,440,327,768,345,023,556,921,002,864,
278,216,561,678,410,559,997,235,090,304,619,697,590,491,836,405,252,483,517,
420,926,642,926,303,858,431,780,398,206,418,941,746,938,083,533,940,753,732,
007,040,875,907,602,658,108,860,504,875,188,848,240,201,279,210,216,580,879,
179,521,182,712,452,018,619,853,726,314,480,744,738,755,474,206,191,015,505,
038,668,888,355,410,336,487,952,858,760,506,323,148,859,074,034,784,378,256,
995,220,785,528,045,041,851,793,884,269,615,732,659,007,161,025,227,936,309,
497,062,794,636,831,455,185,224,542,063,026,098,220,245,148,723,493,167,167,
231,226,700,101,344,838,396,942,110,428,855,057,000,548,187,435,042,469,657,
508,326,039,073,176,080,109,381,336,705,685,856,283,381,759,241,392,148,063,
875,277,103,947,244,485,209,459,469,786,082,932,097,106,840,975,567,615,706,
311,135,841,065,007,900,664,493,255,558,178,739,139,862,118,595,028,386,135,
235,148,134,956,639,596,504,877,815,484,323,657,420,274,823,730,442,542,907,
962,402,905,992,166,707,449,056,476,445,605,434,449,147,051,577,185,748,308,
080,149,616,448,379,810,440,062,013,313,259,229,995,142,630,866,717,612,094,
586,419,271,070,345,429,783,060,277,756,484,962,592,512,617,956,483,499,522,
636,699,246,949,338,252,513,366,364,055,774,968,938,659,516,355,669,025,852,
145,657,322,917,800,490,604,264,698,870,734,093,273,876,274,364,061,542,700,
800,982,907,536,836,747,402,407,770,252,253,044,045,911,101,725,430,144,577,
691,770,537,323,102,683,144,117,349,491,890,042,889,850,940,468,263,790,498,
652,181,062,507,210,362,696,764,335,728,605,841,810,055,944,831,728,582,192,
049,083,642,826,133,977,426,307,703,751,199,474,428,056,387,812,102,390,083,
200,710,255,159,605,672,651,745,914,262,311,218,461,936,740,440,299,955,684,
221,921,019,930,345,042,631,031,879,224,298,945,011,514,063,198,420,585,682,
066,219,955,684,869,284,281,158,177,158,461,773,613,893,863,070,322,827,971,
589,985,516,121,786,579,413,622,867,339,233,821,267,041,604,427,111,348,297,
402,235,146,324,106,806,449,965,902,870,616,574,154,904,054,356,453,091,207,
148,248,319,519,441,144,333,498,489,403,407,970,524,827,628,882,568,752,145,
404,346,262,721,378,463,104,538,436,368,078,662,845,836,565,520,830,722,833,
064,138,347,921,013,788,510,388,402,820,087,120,222,281,865,719,840,108,754,
786,175,383,582,937,349,995,399,656,754,608,296,747,905,668,743,646,342,003,
350,247,716,723,276,726,143,187,491,809,456,191,547,637,155,941,527,095,273,
444,211,520,310,558,022,967,781,058,529,070,806,580,489,707,425,287,721,484,
241,239,832,138,258,522,021,423,995,224,003,957,430,885,673,862,693,119,970,
434,401,068,103,678,593,515,874,524,769,236,296,013,596,679,673,929,376,656,
636,376,013,761,945,374,253,807,865,625,014,566,412,180,919,650,617,186,838,
751,992,839,279,493,962,307,978,802,383,924,784,853,625,438,812,994,039,837,
617,493,282,111,932,465,027,025,347,454,463,331,112,388,180,408,723,828,456,
865,944,563,659,949,374,217,219,353,633,740,820,076,686,302,106,051,260,916,
784,971,323,091,173,603,377,195,104,497,592,194,617,617,792,588,148,188,176,
823,666,327,606,111,864,310,323,432,583,211,226,606,326,543,245,524,282,702,
953,475,568,681,905,394,771,645,704,373,442,492,190,770,446,008,776,454,331,
617,171,762,380,305,992,356,540,825,053,107,502,735,453,125,595,631,433,714,
383,487,296,493,801,817,402,802,100,422,300,887,314,371,739,129,467,693,261,
861,219,661,257,572,597,321,699,688,643,944,478,367,607,887,424,490,577,107,
743,221,879,633,212,504,369,030,153,447,149,421,711,360,983,445,347,718,832,
984,570,957,326,173,600,614,999,094,344,089,180,210,218,610,908,201,752,145,
360,498,084,317,070,411,653,392,078,882,502,338,255,277,699,088,580,618,605,
653,323,725,693,352,819,228,169,810,372,688,336,087,683,176,796,967,683,615,
237,353,830,811,645,180,205,024,638,565,625,350,295,503,475,164,010,370,084,
972,721,596,608,359,845,458,113,625,664,560,890,719,136,702,626,121,659,200,
373,421,787,478,664,577,306,909,107,200,386,978,306,771,136,628,950,951,012,
852,720,741,973,397,801,785,607,131,212,317,126,788,801,045,102,848,033,453,
471,527,389,062,826,562,073,929,463,689,192,870,230,837,125,637,632,867,043,
122,149,020,136,620,848,027,488,424,256,549,916,982,690,869,978,295,052,284,
733,122,856,623,972,151,562,191,839,673,878,120,594,255,738,918,399,246,297,
028,451,759,555,681,232,506,074,844,610,717,134,393,945,831,725,535,908,691,
622,046,937,542,475,910,654,024,307,508,692,195,393,782,554,939,934,994,351,
389,954,681,967,559,160,024,795,935,255,375,446,647,911,122,762,566,642,342,
932,240,890,394,778,040,300,078,850,389,778,649,238,977,172,004,901,353,553,
391,646,371,304,689,317,077,121,266,238,866,053,951,707,494,702,613,065,389,
182,647,732,133,063,895,526,560,036,789,992,305,738,835,897,114,277,264,565,
065,394,687,672,489,416,312,604,944,298,195,382,620,832,329,348,370,540,700,
116,538,693,633,545,926,627,659,007,037,898,505,489,315,623,331,007,952,451,
282,190,661,238,419,976,810,781,238,960,121,546,755,921,755,394,366,217,827,
451,086,791,554,977,076,803,389,544,576,414,938,855,030,300,901,068,443,956,
048,880,621,683,211,906,171,685,705,065,527,426,003,249,972,561,394,657,117,
032,142,067,234,509,347,748,750,830,615,165,799,860,609,269,666,171,532,303,
620,147,481,715,658,605,995,826,876,204,888,414,809,155,793,606,536,905,944,
218,028,377,153,324,444,159,706,915,219,616,777,720,699,269,975,225,688,234,
872,717,097,784,319,135,365,893,981,707,203,357,200,220,677,802,941,323,208,
484,826,058,858,375,131,537,709,254,602,222,781,723,737,761,889,665,474,419,
840,643,717,876,993,301,364,262,000,789,698,941,872,267,495,180,905,103,512,
856,975,509,403,600,433,589,938,183,777,359,112,139,613,482,318,351,199,277,
618,081,088,665,936,306,820,658,243,833,106,497,599,789,865,548,500,588,854,
290,539,059,076,248,374,307,243,533,873,200,362,769,493,406,935,749,751,288,
913,539,039,212,610,690,573,111,813,933,430,799,947,149,781,855,640,054,206,
349,141,251,336,845,666,409,496,833,900,014,844,772,135,050,973,742,710,754,
243,894,425,550,335,340,466,240,861,372,461,332,884,935,643,484,120,388,414,
909,414,892,279,671,017,994,011,844,321,205,927,681,521,775,852,169,239,316,
289,350,919,709,964,723,808,377,546,229,835,768,129,210,308,109,155,326,924,
901,451,531,973,157,803,300,598,433,485,623,912,336,319,240,484,858,153,520,
122,472,620,013,717,463,813,889,115,188,302,004,356,568,138,147,187,971,627,
483,425,011,596,410,506,630,476,808,284,528,965,564,320,339,378,314,149,744,
628,505,041,232,283,020,411,122,798,339,680,837,798,161,714,497,538,076,719,
863,786,033,775,964,246,828,436,035,781,073,493,487,889,528,003,304,953,485,
469,001,264,699,763,972,699,175,023,726,500,307,415,040,824,564,967,683,516,
155,425,347,565,072,688,474,109,951,216,103,763,769,309,716,809,884,537,404,
706,401,433,332,227,921,193,305,609,850,710,062,128,630,363,506,793,883,827,
046,466,413,113,516,803,084,689,972,615,171,539,918,845,424,627,908,807,502,
131,671,134,949,343,862,925,983,357,101,714,847,988,491,765,698,408,682,423,
351,587,586,622,663,668,368,968,563,631,265,394,288,573,951,071,564,002,566,
643,032,415,991,036,377,566,520,402,913,774,319,919,928,572,484,757,077,317,
416,892,253,558,943,057,426,361,323,206,132,566,654,308,263,010,164,353,803,
878,474,008,114,482,739,127,289,728,442,891,245,189,277,703,869,162,986,506,
999,446,711,249,730,905,474,782,837,685,153,274,940,814,820,440,045,547,597,
265,789,254,957,797,143,476,070,753,296,381,640,523,254,373,508,799,859,550,
530,153,634,684,685,111,654,667,520,010,138,656,460,043,409,904,272,207,177,
095,977,785,612,520,179,181,959,821,766,809,639,092,466,288,956,483,352,069,
787,070,464,730,759,320,113,016,450,043,334,371,912,531,445,644,147,849,288,
233,758,450,977,693,165,504,006,779,099,623,901,014,671,156,489,101,727,637,
477,385,840,809,146,959,399,275,250,479,389,948,719,416,179,119,051,524,789,
840,165,095,255,244,485,494,168,445,072,937,743,770,141,190,372,241,512,780,
887,139,982,775,460,820,965,579,165,560,295,208,939,484,256,473,162,211,386,
740,387,332,016,818,569,991,540,104,706,751,240,033,671,213,995,671,473,236,
537,974,067,412,283,445,407,919,142,704,197,930,361,029,924,946,346,147,709,
552,693,121,170,715,133,629,164,156,360,717,091,875,158,874,724,864,275,957,
122,104,639,175,720,172,503,391,777,494,175,813,825,209,000,511,647,531,493,
476,523,491,581,284,363,405,937,637,681,547,543,728,843,044,158,907,070,861,
653,053,967,170,040,789,692,748,549,995,902,879,660,952,990,295,471,561,598,
756,548,410,605,393,650,618,169,512,274,024,174,366,717,845,963,084,297,388,
661,397,479,335,761,755,925,713,970,241,831,283,273,476,744,562,551,636,733,
275,009,530,859,207,831,911,134,778,411,252,974,901,035,509,431,983,918,579,
906,534,309,406,802,384,722,274,790,188,570,867,660,606,393,633,673,327,086,
397,594,162,265,794,148,305,247,146,892,480,830,099,389,868,781,630,919,751,
955,108,356,891,323,882,910,019,052,203,534,403,716,213,910,883,296,195,625,
995,958,981,132,304,299,358,686,817,311,755,347,878,098,064,250,396,959,089,
678,938,283,124,016,208,568,051,387,143,127,647,126,174,931,140,127,023,040,
372,857,194,756,250,734,653,795,764,696,154,480,385,947,857,895,644,639,558,
841,146,502,926,268,906,185,082,933,561,841,997,378,831,246,646,415,104,125,
641,158,335,190,996,056,287,917,852,986,134,021,335,930,750,173,138,514,624,
219,811,423,612,624,388,353,136,651,712,835,723,164,065,296,570,756,610,287,
288,854,520,970,420,178,435,173,633,829,792,563,578,618,841,900,286,017,986,
183,382,134,969,216,138,732,997,003,822,486,679,513,770,611,809,315,680,784,
237,885,784,647,781,487,234,001,159,874,166,130,331,786,396,388,224,907,416,
102,712,440,848,509,791,694,956,636,774,765,737,838,567,455,731,617,106,447,
064,190,287,486,394,326,386,233,791,853,311,793,227,199,680,691,970,977,953,
063,285,914,924,359,354,752,746,063,774,680,577,093,319,333,627,250,631,678,
672,089,797,541,377,096,217,016,667,442,957,988,691,947,257,885,055,249,097,
037,193,033,937,183,236,972,862,805,643,896,491,510,932,241,800,277,617,053,
876,703,584,663,770,413,514,033,003,953,583,156,476,343,441,975,259,520,113,
933,610,031,208,550,814,384,102,350,032,501,123,488,205,198,831,140,182,992,
493,000,548,981,397,692,756,714,694,348,326,553,568,790,456,434,149,480,403,
313,372,459,372,534,636,496,318,629,759,819,734,111,577,159,208,931,049,582,
839,324,235,527,154,995,130,792,388,585,478,798,748,044,928,453,661,314,364,
970,283,514,697,714,251,284,968,865,275,221,229,661,301,907,383,706,408,820,
862,015,245,588,962,210,171,731,602,211,767,430,273,283,011,370,547,835,600,
396,752,616,769,643,554,083,620,840,444,789,619,822,095,637,955,152,453,684,
731,895,187,884,332,188,941,116,536,751,738,592,476,650,159,710,701,159,161,
571,322,517,641,136,585,625,535,663,287,857,606,103,211,744,276,321,297,136,
203,020,025,038,769,967,293,135,300,901,143,229,824,753,481,965,289,277,476,
828,667,191,925,493,143,096,989,591,926,869,724,174,462,887,031,494,257,664,
076,218,898,984,214,340,256,603,170,993,805,811,835,620,153,211,515,234,971,
404,399,208,193,730,687,132,832,396,793,545,300,448,520,503,969,082,037,556,
269,987,999,054,912,395,441,226,832,196,765,090,079,915,982,968,809,809,169,
696,293,129,680,894,646,515,377,837,400,063,101,116,815,925,733,475,636,803,
031,339,956,495,675,123,928,580,452,179,631,286,013,194,944,437,374,209,665,
952,929,177,992,193,787,873,824,559,950,769,365,765,987,879,542,344,738,535,
470,380,194,521,282,685,170,382,283,444,452,834,747,422,272,871,260,619,797,
901,014,798,649,242,856,950,250,885,020,576,087,488,461,823,523,292,373,296,
899,659,662,133,741,619,875,092,790,914,236,352,823,454,587,507,637,750,828,
020,675,922,850,665,493,697,034,677,828,240,669,106,562,145,030,564,468,461,
054,012,378,204,623,283,288,647,653,718,620,726,837,419,717,192,485,508,698,
522,347,798,252,838,530,844,640,732,058,226,276,571,898,153,647,202,543,269,
446,460,690,123,997,751,189,872,065,426,971,961,213,192,290,207,597,309,275,
067,021,024,891,107,165,424,801,281,458,370,161,091,390,581,256,100,967,040,
651,269,336,503,154,454,114,859,242,163,869,371,489,915,328,479,115,485,601,
604,695,668,189,337,465,972,307,142,680,258,451,296,748,447,010,456,261,101,
469,174,195,742,851,917,207,206,418,773,104,827,082,476,607,023,275,175,849,
983,032,847,477,250,475,992,519,885,961,000,930,778,253,145,597,068,550,551,
087,660,696,117,959,245,217,616,666,366,048,098,308,834,410,618,024,963,393,
588,506,833,458,627,318,724,757,753,595,179,463,020,214,984,118,987,786,419,
003,271,755,689,292,876,418,826,884,815,667,045,545,102,421,146,672,027,644,
137,902,469,474,453,429,481,059,105,228,257,752,494,221,692,884,130,989,105,
028,008,552,805,991,924,270,315,492,704,773,038,240,597,439,578,046,880,068,
481,380,290,425,399,570,537,031,647,370,444,589,254,631,083,584,975,810,856,
822,767,879,914,110,045,241,994,539,659,268,464,328,125,092,443,269,769,746,
589,350,312,007,929,642,876,044,059,200,771,690,627,780,366,854,326,144,243,
402,130,561,008,898,323,910,467,378,382,051,915,715,781,453,122,075,231,394,
989,912,770,785,800,767,846,346,484,382,134,299,973,857,664,948,075,475,476,
586,079,667,262,320,382,446,507,863,523,332,083,122,627,099,090,378,490,278,
490,359,615,733,050,112,065,798,648,012,893,128,400,046,468,312,632,838,131,
568,861,163,161,073,260,402,951,522,105,184,376,450,709,767,823,835,162,578,
132,700,037,211,272,637,304,242,256,033,061,105,561,720,328,496,393,723,316,
083,378,907,136,333,262,959,252,484,719,577,134,895,519,945,872,000,187,926,
045,305,669,217,141,705,520,657,672,893,221,486,032,768,289,893,108,013,806,
044,101,378,961,163,035,836,816,726,447,190,405,190,683,449,380,583,781,726,
223,150,265,507,336,539,504,903,987,074,284,246,095,614,986,380,550,786,334,
358,089,171,951,966,108,751,782,160,305,863,097,277,900,589,679,762,206,418,
021,645,516,949,371,912,635,480,876,949,353,598,945,955,510,410,280,586,096,
704,765,138,656,289,690,402,731,741,367,885,148,614,840,455,836,392,599,673,
282,911,121,432,350,447,580,769,574,602,951,252,436,375,296,629,761,333,198,
556,371,820,890,968,171,672,217,570,636,983,683,798,120,630,195,305,548,892,
540,685,699,683,057,794,684,248,197,262,957,371,495,620,816,690,635,842,198,
231,157,004,826,216,438,600,110,396,658,425,183,929,160,382,308,121,672,053,
242,994,120,697,772,013,910,303,165,473,038,405,494,381,143,760,416,005,919,
572,792,497,134,256,628,639,265,783,897,678,781,727,324,997,660,520,927,202,
642,864,642,481,179,883,646,543,628,562,060,576,448,498,599,213,884,900,862,
533,201,915,921,015,127,038,605,264,205,822,888,811,558,178,641,677,797,354,
310,493,947,566,129,498,168,138,920,179,233,894,546,579,359,075,370,549,975,
027,692,146,812,056,238,558,844,637,645,824,184,198,596,894,695,422,722,865,
012,363,781,960,441,335,542,265,622,400,774,399,896,140,860,732,562,944,038,
030,853,944,610,421,946,762,937,955,246,011,922,861,591,341,516,456,229,011,
334,112,681,322,833,664,179,674,787,095,983,885,817,066,276,921,618,460,141,
685,313,012,517,278,085,823,494,247,291,180,968,276,175,458,501,496,504,884,
657,124,945,603,270,155,026,323,350,494,808,888,348,773,833,047,954,807,616,
240,744,391,600,096,515,996,495,794,704,556,233,798,339,963,614,654,042,456,
195,731,240,573,549,406,959,883,697,246,751,178,272,773,120,290,278,951,004,
373,585,468,968,322,427,043,945,725,864,352,131,366,441,542,450,934,211,750,
346,659,525,497,128,666,079,918,995,339,173,803,496,726,882,512,502,207,218,
720,018,538,942,369,167,511,608,041,282,479,240,838,733,622,123,024,909,852,
604,369,300,836,118,041,586,730,378,616,839,225,619,007,442,728,795,537,564,
950,575,137,278,082,711,733,432,117,738,116,823,171,307,201,505,810,098,436,
340,764,342,811,105,606,898,213,181,486,891,500,728,772,017,676,957,658,421,
104,981,426,104,177,649,150,419,292,658,630,143,429,857,890,118,553,278,956,
426,588,317,848,408,530,762,332,817,212,884,808,392,428,441,085,859,998,299,
632,916,690,833,643,124,263,096,327,523,242,880,872,728,183,467,105,369,317,
343,055,846,145,473,007,077,046,716,943,599,168,830,342,238,462,903,898,633,
611,158,589,633,127,825,806,674,961,471,978,419,591,804,376,212,675,862,623,
837,236,023,176,291,997,245,478,381,672,258,314,360,453,130,795,480,952,492,
702,563,765,016,020,675,542,397,571,034,939,988,276,851,689,907,236,702,667,
795,608,592,136,640,324,005,195,052,403,263,082,150,900,491,027,124,134,363,
549,969,714,436,996,441,254,277,332,927,386,003,978,896,606,520,342,393,028,
178,079,774,267,972,446,140,688,526,371,615,663,124,718,073,193,041,839,372,
861,023,409,282,515,653,075,477,473,763,027,902,272,859,629,037,287,716,785,
285,301,697,267,332,234,889,348,205,416,274,083,248,938,508,106,191,338,374,
183,826,674,958,725,091,909,252,753,503,560,823,597,713,285,210,526,081,740,
314,990,331,429,975,618,327,092,235,109,184,127,698,449,071,549,849,510,680,
985,339,880,228,498,119,767,951,051,419,764,877,394,668,919,314,856,044,841,
801,594,269,387,230,040,416,003,952,963,741,012,988,735,751,350,727,849,933,
587,430,800,896,462,486,258,793,852,762,511,653,056,105,575,376,754,906,620,
997,203,569,399,165,667,658,643,572,820,832,863,228,317,173,102,809,137,321,
583,592,227,056,748,826,158,892,017,810,491,064,807,560,976,886,337,210,231,
647,165,390,034,699,105,441,809,917,935,253,071,614,810,574,772,024,262,786,
159,117,898,034,783,634,735,417,265,177,341,017,195,869,700,568,248,545,035,
203,931,210,740,954,145,336,254,414,332,772,871,029,960,342,665,898,397,756,
439,643,734,853,705,768,105,459,258,868,622,509,117,222,676,409,873,509,432,
194,552,456,651,451,936,220,369,861,039,862,187,788,643,669,671,193,336,020,
901,119,922,421,347,348,603,144,253,160,488,263,242,427,144,596,091,083,761,
406,199,007,844,549,431,711,630,408,778,315,984,516,514,673,459,980,282,841,
645,959,201,702,775,015,044,302,073,071,790,644,519,065,443,026,431,250,585,
738,241,343,469,171,941,925,711,605,084,625,045,932,016,930,579,283,041,046,
538,435,862,741,837,994,751,921,566,987,784,282,976,218,012,208,608,613,548,
933,445,602,805,997,084,853,081,581,085,599,703,666,574,869,788,947,990,951,
717,104,392,502,259,082,935,053,745,708,477,854,687,754,733,645,564,295,722,
850,610,369,479,196,516,536,744,202,866,387,961,130,966,269,373,864,636,208,
020,913,051,918,941,383,720,237,473,834,891,214,428,519,285,711,095,164,531,
481,279,215,369,648,595,424,646,029,087,420,417,659,926,581,069,893,955,231,
020,439,736,376,329,313,732,238,568,915,769,580,094,953,812,822,837,442,000,
793,885,053,049,214,008,237,097,071,023,914,152,870,152,526,469,071,065,576,
604,695,246,412,311,644,347,431,462,899,958,327,458,905,669,254,866,166,769,
930,620,525,359,434,497,737,674,909,337,200,825,291,709,716,661,538,466,820,
021,349,486,454,693,977,491,892,853,284,325,994,606,509,385,661,386,201,933,
449,961,104,625,541,628,958,680,777,364,811,336,495,746,493,612,566,474,145,
961,452,060,020,396,469,820,443,477,954,816,320,029,830,450,165,598,410,426,
707,471,665,005,306,658,246,078,964,950,102,784,463,305,288,096,327,732,751,
825,112,150,974,937,588,536,832,143,494,139,426,547,193,243,096,505,599,869,
658,083,245,684,736,846,359,095,097,982,236,112,528,554,973,755,715,795,984,
233,248,354,880,586,844,526,917,955,941,878,630,670,559,197,740,932,735,712,
479,165,314,854,283,644,835,940,780,680,776,670,147,313,233,286,108,350,925,
692,993,309,000,686,854,990,711,013,323,970,014,809,013,773,059,953,248,445,
041,735,885,478,836,717,182,059,367,032,752,548,840,010,215,223,630,596,661,
606,066,523,204,737,846,848,450,052,443,208,902,350,161,905,224,168,997,348,
468,925,303,701,640,695,581,880,815,362,193,592,498,257,585,275,136,769,019,
239,737,593,411,649,015,187,590,255,589,563,361,980,727,859,324,999,811,804,
624,306,690,892,809,481,257,478,872,470,702,539,575,485,106,384,170,392,816,
523,734,897,368,818,644,877,994,696,854,034,317,003,317,338,668,771,900,913,
023,174,135,737,865,931,254,699,912,998,001,658,466,476,188,715,002,036,063,
288,065,722,701,229,576,593,652,306,732,979,039,409,050,507,401,400,690,334,
925,105,173,658,231,585,598,413,891,685,685,844,690,539,009,089,567,715,165,
659,850,935,043,328,409,405,847,503,299,833,813,681,619,006,752,807,381,502,
800,635,155,962,509,541,403,884,260,721,887,099,760,366,470,449,573,693,805,
260,183,862,309,534,978,443,305,046,158,940,696,182,944,866,795,436,469,587,
329,572,686,199,374,417,325,093,957,177,916,184,213,414,109,133,336,191,047,
239,170,426,018,941,659,479,137,498,654,350,742,766,022,957,446,868,439,111,
111,753,317,833,778,930,213,217,827,045,053,852,965,206,729,978,277,224,539,
058,707,309,514,116,362,785,757,256,364,385,733,398,261,799,069,385,843,004,
828,447,823,198,817,909,153,119,135,745,549,977,133,352,727,650,089,262,400,
524,554,798,680,295,617,819,226,322,882,933,252,739,027,246,604,688,986,038,
503,100,257,759,206,683,180,375,243,101,903,093,779,458,308,053,586,651,577,
136,502,594,044,936,659,911,129,736,608,038,183,615,689,096,656,364,573,071,
195,314,261,982,481,949,214,090,233,175,482,797,897,832,828,070,241,906,530,
511,349,473,113,241,621,457,105,132,050,668,847,510,404,248,216,899,037,392,
583,759,154,431,609,878,258,210,022,656,777,125,256,790,522,214,569,867,506,
527,608,049,828,917,737,280,291,832,723,252,652,404,283,309,174,748,321,266,
973,709,276,007,613,309,556,863,705,146,743,078,268,864,816,755,042,080,482,
428,970,848,152,640,392,710,315,763,108,363,747,828,781,142,355,946,322,584,
012,185,693,047,675,679,535,632,395,459,518,637,466,098,521,711,075,552,435,
839,203,388,939,168,039,788,784,641,321,511,801,565,988,789,227,585,268,708,
270,792,241,378,322,716,882,113,835,557,139,745,605,272,949,485,568,540,960,
672,784,025,139,178,993,696,778,051,151,345,677,177,022,835,793,122,382,058,
954,822,228,110,226,389,612,422,415,767,776,954,938,541,403,889,462,297,828,
341,153,582,535,416,740,544,296,912,896,791,644,785,313,952,472,725,612,081,
321,005,935,894,765,806,382,881,967,908,011,023,943,933,413,052,447,082,032,
009,999,787,984,724,746,395,873,469,346,117,215,828,932,362,095,135,683,394,
901,567,402,287,912,631,500,297,141,098,134,099,873,998,186,467,242,861,031,
908,219,713,410,955,357,976,209,340,411,388,965,360,476,803,679,544,561,299,
353,301,321,893,954,518,275,321,785,070,953,383,764,225,300,277,516,157,245,
621,199,626,020,043,404,604,361,859,667,855,061,784,958,852,015,381,821,231,
462,073,527,463,229,136,110,357,001,518,956,388,807,493,881,614,412,567,793,
036,553,042,108,276,643,606,588,529,343,197,947,313,073,848,613,362,721,616,
908,592,250,391,724,999,121,446,743,634,451,266,781,686,741,849,273,732,786,
871,238,203,971,716,694,670,521,856,163,670,945,661,672,851,919,987,715,135,
886,180,168,127,119,309,584,159,020,041,550,233,182,537,436,376,011,912,282,
644,253,286,897,786,802,680,386,652,565,285,975,790,009,756,574,553,076,588,
799,830,727,175,732,864,629,773,217,939,115,523,379,818,018,911,998,532,138,
224,766,086,553,167,809,835,153,715,681,490,792,206,119,383,656,100,111,482,
873,493,270,591,354,414,111,897,607,492,637,394,618,345,945,082,602,244,153,
212,093,266,467,990,825,779,281,588,684,963,894,745,239,721,989,952,792,232,
772,531,484,858,329,087,917,635,501,523,396,648,592,142,775,104,213,380,632,
506,470,221,011,858,573,124,076,193,451,269,959,171,614,237,761,074,789,222,
769,422,699,723,933,071,717,578,581,028,028,813,875,327,700,399,265,055,352,
747,125,787,927,069,352,794,505,204,784,610,641,292,292,125,691,264,077,189,
290,803,413,208,943,940,080,944,328,694,940,852,542,294,729,405,696,156,767,
199,855,745,278,164,765,493,160,050,702,542,828,969,514,012,261,641,572,491,
883,891,573,968,809,762,314,129,595,882,128,599,360,025,600,618,933,582,815,
601,609,781,323,623,492,148,161,575,570,931,827,356,946,947,940,138,907,439,
042,987,154,925,441,300,628,436,582,766,552,614,247,116,780,379,163,601,293,
871,449,543,288,348,601,014,568,796,117,733,247,757,821,574,345,081,895,711,
984,585,498,746,810,420,732,645,127,600,860,401,089,030,675,175,358,141,097,
404,211,221,409,244,213,382,401,653,521,434,716,001,793,872,163,275,996,764,
477,337,549,473,252,669,261,048,502,631,180,148,156,197,548,648,702,319,274,
783,274,931,780,392,526,448,888,409,503,695,948,109,974,182,101,572,553,737,
418,567,308,610,448,648,684,882,232,843,302,724,276,782,639,075,047,491,323,
036,755,858,049,934,273,990,992,779,851,831,347,040,908,227,351,200,292,668,
769,347,264,958,751,665,826,934,189,674,968,036,840,499,358,720,557,216,385,
514,719,184,541,305,141,310,095,417,761,283,309,675,168,703,374,822,955,670,
535,242,741,216,073,612,398,274,649,645,207,311,034,087,806,087,234,234,114,
493,033,502,887,136,832,422,258,096,622,632,304,854,546,161,952,391,270,617,
037,218,512,938,251,768,374,986,275,705,934,294,223,660,792,683,353,028,795,
524,224,810,852,935,303,214,655,287,665,225,506,228,966,060,407,121,104,272,
387,556,224,420,498,838,823,954,197,464,760,317,915,356,497,449,603,986,825,
718,882,019,869,932,727,414,962,935,016,745,106,375,184,772,466,140,161,370,
182,100,921,354,759,473,848,291,964,257,505,902,588,397,305,608,781,917,847,
949,413,027,305,760,550,537,856,188,475,008,525,541,046,086,132,212,317,251,
142,639,851,011,445,582,027,832,133,168,418,828,745,379,275,107,240,599,357,
548,025,512,099,839,761,353,017,923,143,608,082,517,088,703,446,127,067,449,
554,555,357,728,167,141,175,745,195,525,660,830,025,339,471,782,849,422,427,
657,893,630,223,880,759,186,500,106,088,576,679,451,968,276,614,454,123,282,
016,072,702,765,058,406,894,426,477,310,654,766,023,052,957,757,898,671,509,
029,591,508,180,697,459,034,843,207,993,942,037,863,697,211,550,812,481,253,
890,400,897,751,909,625,630,922,633,239,245,300,378,972,184,336,230,067,555,
318,971,551,013,189,078,496,534,277,144,759,537,459,273,837,820,847,419,632,
009,518,662,782,374,394,224,266,923,961,906,161,352,244,734,831,117,815,016,
526,199,927,754,392,704,963,460,460,613,020,544,876,439,040,293,385,824,672,
138,733,714,117,538,037,529,853,670,020,607,762,787,377,178,572,306,148,892,
061,256,026,803,352,239,494,158,760,507,457,606,198,196,336,685,630,170,202,
958,849,288,906,035,967,421,447,593,047,564,867,804,931,083,579,509,650,920,
041,459,961,016,921,040,136,067,932,235,899,469,051,161,804,192,178,326,470,
609,048,870,810,968,458,723,043,683,010,277,404,849,632,487,655,255,657,548,
861,902,425,911,745,200,363,799,581,144,933,095,980,375,025,194,532,842,756,
171,551,933,170,360,167,566,902,278,700,686,123,072,357,400,543,788,618,253,
440,944,823,221,217,314,517,054,605,890,932,327,484,513,213,247,845,376,481,
143,762,521,326,291,436,885,329,655,696,574,576,067,171,385,461,070,452,575,
125,554,941,801,538,340,319,571,151,656,252,934,715,703,930,564,992,440,171,
089,946,872,158,982,086,603,891,096,081,493,137,171,905,295,069,522,238,210,
003,034,721,290,072,607,802,271,616,937,239,357,483,217,641,769,073,176,776,
364,754,334,470,931,353,218,397,809,503,219,695,465,101,718,233,517,107,888,
063,151,855,216,664,221,246,885,862,091,636,772,610,683,573,488,357,151,863,
663,391,086,939,029,249,549,199,559,332,726,330,879,963,326,067,722,029,433,
046,013,060,515,618,096,367,397,385,635,923,110,981,626,213,743,880,029,613,
287,984,294,818,015,662,391,620,856,456,721,266,498,564,270,894,580,224,733,
989,618,841,336,804,156,886,719,909,632,232,221,781,634,479,989,841,104,336,
855,148,550,618,356,131,841,706,153,308,353,258,627,152,357,854,999,486,546,
554,747,680,789,959,844,439,377,580,451,754,083,272,439,898,858,231,191,582,
929,866,493,507,851,258,047,443,332,489,582,760,935,231,542,711,686,984,486,
737,409,923,725,786,889,494,861,582,413,027,659,581,951,476,997,771,902,757,
979,810,106,709,751,900,050,540,454,277,668,220,009,579,609,278,528,593,575,
745,994,407,931,053,977,096,145,630,498,258,378,788,051,385,857,578,734,078,
070,619,445,721,817,593,022,530,609,162,779,900,899,448,280,189,210,344,307,
626,495,392,915,231,103,331,441,980,484,586,387,933,407,401,720,766,329,645,
053,493,659,504,231,949,828,681,518,917,918,886,300,705,891,746,258,500,228,
853,236,861,906,602,923,866,987,593,953,803,793,134,818,265,445,027,233,474,
131,081,804,263,268,008,759,991,810,906,188,138,843,157,762,486,500,752,804,
899,006,840,067,832,882,245,859,894,913,934,428,283,130,373,180,849,463,875,
489,075,678,105,690,356,298,232,909,646,628,823,961,065,647,964,936,578,318,
337,782,006,859,201,274,379,487,395,179,898,314,331,553,638,136,491,144,758,
385,841,415,826,551,591,689,531,128,953,133,750,120,400,518,227,013,496,174,
658,179,310,729,805,073,319,195,673,132,895,284,203,815,490,123,691,640,792,
969,528,523,104,729,655,446,527,092,699,875,727,938,220,664,718,151,445,705,
865,302,957,563,806,158,096,302,353,071,361,677,310,688,666,801,688,299,640,
682,065,655,667,262,480,833,297,400,569,335,695,020,295,289,302,069,337,773,
733,150,592,672,721,264,861,186,527,835,006,533,843,033,047,760,895,663,107,
536,799,692,361,440,173,809,186,043,472,099,698,995,814,842,154,884,765,253,
150,067,284,038,867,049,817,079,878,599,474,312,429,981,944,895,634,368,355,
458,167,358,664,421,247,614,128,842,766,340,041,094,719,442,213,432,518,531,
353,440,114,197,236,726,305,185,828,027,859,605,838,865,612,320,142,734,330,
454,524,727,965,424,746,691,508,420,123,377,836,549,401,424,034,227,181,554,
215,164,340,664,325,944,566,310,311,796,999,168,316,470,434,683,531,910,845,
282,277,137,776,787,365,343,276,316,417,839,819,233,159,386,743,139,463,974,
610,995,105,881,110,967,037,755,133,174,396,866,150,966,601,050,043,109,895,
200,066,394,121,784,547,039,425,024,648,983,743,993,991,504,181,349,614,769,
110,896,558,558,123,605,639,828,266,104,868,241,758,348,396,355,533,862,864,
883,196,399,248,629,095,667,501,875,721,318,093,777,428,450,746,631,383,422,
319,586,334,597,367,490,831,537,340,903,172,903,475,242,138,240,472,895,385,
888,997,895,852,731,023,028,402,720,524,239,359,107,777,526,294,329,715,595,
241,652,282,961,214,316,125,971,736,844,343,044,551,078,375,817,398,623,964,
007,501,885,473,059,473,436,404,882,554,043,546,922,516,893,204,548,212,501,
124,550,560,705,601,695,805,191,232,961,556,163,298,293,436,294,144,203,113,
288,339,474,927,146,142,370,149,359,510,905,425,617,623,538,702,318,945,148,
416,632,496,025,753,306,270,465,560,948,062,516,328,021,171,573,972,993,990,
369,647,453,618,682,626,223,085,803,214,634,916,961,452,488,959,491,181,842,
964,350,007,520,943,740,623,663,384,506,174,639,123,272,833,185,104,679,220,
123,527,959,877,648,454,148,974,904,743,567,538,864,907,870,901,106,783,575,
967,476,008,164,543,928,532,645,528,492,952,757,342,195,862,744,089,258,860,
784,317,094,053,743,394,989,110,876,778,241,226,506,391,426,974,062,723,573,
968,009,804,630,928,598,467,645,481,505,163,672,583,733,013,133,082,987,318,
613,749,601,121,666,296,981,267,293,989,597,535,073,469,690,175,567,170,357,
674,288,149,084,295,701,793,147,363,448,156,234,142,457,656,235,309,941,191,
679,914,344,506,400,868,505,676,250,893,141,798,192,181,832,583,310,085,897,
540,641,643,451,996,719,740,048,269,351,299,467,522,206,929,432,926,461,266,
004,862,835,645,361,975,353,479,454,911,698,718,220,424,855,984,344,571,041,
161,644,209,594,074,539,555,079,624,215,274,867,142,295,771,934,957,348,265,
925,098,950,470,341,765,224,803,639,150,631,583,057,032,835,787,238,032,156,
478,577,006,308,441,582,976,584,472,429,018,518,446,539,186,253,364,707,642,
354,033,444,005,530,718,455,004,182,319,204,276,469,656,905,905,576,551,546,
681,948,339,466,111,094,511,310,051,078,214,489,628,527,078,713,418,051,959,
333,026,090,310,144,346,641,334,289,045,204,345,568,065,057,857,969,190,715,
294,936,421,424,643,027,224,876,772,094,132,486,203,154,842,077,874,029,955,
174,646,386,747,019,453,205,114,590,114,202,266,906,044,593,407,779,590,568,
199,108,735,718,370,024,160,590,483,478,360,484,907,183,328,775,696,026,400,
541,893,286,294,204,692,158,935,205,113,587,487,435,633,433,401,069,778,299,
220,740,876,834,615,979,077,969,011,358,777,367,943,721,396,471,081,923,417,
847,704,323,858,087,541,798,833,480,703,846,011,466,385,354,659,493,582,466,
278,580,016,120,884,412,276,492,682,182,590,678,534,273,000,871,065,502,533,
293,020,965,213,436,456,298,426,998,088,041,915,037,751,883,132,409,877,203,
061,802,420,675,822,475,230,399,980,964,532,345,755,979,837,022,641,778,612,
122,866,454,560,627,372,562,034,367,168,672,947,900,112,163,744,616,578,362,
739,591,565,983,156,460,414,624,819,814,708,668,668,883,387,227,897,021,611,
316,797,407,695,776,057,727,730,976,667,308,784,421,163,319,119,047,376,838,
289,122,780,198,357,409,224,935,573,498,976,982,228,168,465,875,426,009,896,
177,737,005,158,399,437,524,281,723,668,691,098,034,124,927,660,225,483,218,
175,365,754,500,122,563,401,922,065,692,266,135,683,683,681,193,970,314,529,
064,836,097,229,762,451,463,532,683,319,820,866,933,623,066,535,402,985,353,
892,125,038,881,847,683,112,946,645,142,789,787,719,923,616,943,799,901,813,
082,290,322,082,483,120,866,997,524,343,844,727,659,798,229,108,489,995,837,
285,240,835,695,501,734,080,466,425,612,719,109,494,306,251,939,392,280,520,
242,623,122,103,379,112,074,649,390,898,789,830,899,458,581,316,662,653,967,
591,528,378,733,491,902,018,668,332,225,303,379,528,873,182,457,576,087,214,
254,123,599,560,173,914,181,459,626,051,948,023,709,177,644,727,408,930,697,
914,235,473,986,190,383,444,468,400,439,226,377,110,668,621,744,151,831,508,
964,552,223,119,078,881,586,532,937,409,172,948,312,697,700,503,444,013,532,
847,788,803,515,491,878,996,288,083,783,097,486,338,178,573,261,207,507,397,
521,747,583,236,918,235,175,000,341,211,440,044,537,117,495,481,898,644,875,
819,607,383,135,887,767,669,433,313,314,745,788,428,411,042,799,337,375,100,
151,985,160,099,020,430,666,032,350,398,759,117,183,678,441,569,427,784,072,
878,438,740,336,752,704,908,323,350,721,139,108,052,003,961,959,277,827,017,
936,937,333,926,811,187,007,223,503,102,473,180,937,028,682,200,173,385,635,
884,344,716,394,450,832,305,669,380,258,675,508,464,742,788,148,496,367,242,
488,863,967,986,465,890,386,095,724,705,191,282,819,547,237,241,284,901,308,
756,304,796,502,021,014,997,233,861,936,580,969,349,694,991,518,130,755,825,
618,840,661,046,265,358,899,753,378,414,555,319,400,623,874,060,060,806,256,
257,379,136,412,731,389,366,622,078,154,743,909,193,687,997,915,351,870,198,
174,968,193,665,139,908,994,534,151,467,760,621,993,416,285,290,039,056,781,
515,141,474,508,702,722,588,795,593,434,919,413,808,726,980,623,161,575,431,
517,540,573,428,669,351,056,664,291,041,681,028,961,083,861,524,695,191,743,
458,859,466,052,621,150,282,904,408,938,511,049,136,200,774,877,670,676,147,
012,653,915,152,629,011,294,494,382,715,438,659,706,042,808,386,362,141,495,
716,411,519,732,980,304,991,212,587,531,968,263,568,710,266,357,396,477,802,
058,550,504,446,445,020,753,687,691,709,336,487,997,083,064,648,819,882,617,
312,863,620,948,040,687,089,019,341,492,580,985,959,467,312,618,134,151,567,
172,008,142,829,085,124,441,564,244,298,246,848,303,472,335,683,574,060,307,
962,397,224,679,366,892,162,523,349,550,475,490,300,555,729,979,947,215,157,
723,310,465,120,388,854,337,594,587,085,775,025,062,626,066,553,018,905,857,
868,582,894,402,182,493,197,545,183,559,896,037,967,060,644,536,807,953,837,
502,489,311,453,048,052,135,867,322,043,662,034,213,311,319,594,295,049,202,
541,033,305,613,859,812,383,427,718,221,687,973,373,789,877,270,723,468,222,
240,827,429,592,301,839,843,668,123,417,731,994,456,629,021,913,962,802,429,
825,482,253,158,483,691,846,706,703,721,877,471,403,830,240,474,459,648,918,
978,494,785,592,461,113,063,077,388,712,134,791,628,207,445,918,391,648,102,
738,946,489,193,094,236,870,171,659,200,539,813,184,154,731,702,960,430,336,
834,266,265,288,129,326,596,072,601,821,559,359,140,673,893,231,632,358,048,
262,275,935,083,199,187,859,889,965,526,525,203,457,904,288,717,883,640,540,
399,202,440,914,894,163,397,563,020,071,233,705,060,293,592,455,120,470,108,
656,048,572,437,506,104,371,011,951,065,473,541,292,834,696,771,150,265,573,
745,825,750,737,501,922,707,247,017,353,874,668,656,624,567,407,092,732,914,
845,322,914,802,968,924,224,901,617,776,470,997,288,804,361,648,045,071,957,
249,477,530,871,294,815,467,578,993,330,646,962,409,679,918,501,225,273,044,
307,565,286,631,108,346,395,690,917,203,604,581,236,014,933,878,395,081,202,
624,459,501,965,881,611,497,627,786,781,616,273,258,209,773,966,465,075,681,
085,493,533,776,976,934,626,678,338,550,772,666,480,242,976,321,221,181,357,
562,119,883,004,116,312,639,442,621,801,848,645,578,253,104,413,002,675,340,
262,229,967,322,333,221,395,932,571,197,414,405,140,220,515,261,391,785,533,
433,288,444,911,287,941,748,801,392,102,103,683,765,735,089,567,659,661,177,
187,704,985,989,348,507,442,094,377,293,999,411,793,110,206,967,720,107,074,
120,468,357,777,073,607,426,623,986,883,712,817,254,255,168,609,575,793,332,
034,592,930,328,190,675,749,800,840,970,386,182,313,708,482,599,078,326,099,
192,460,122,986,282,209,987,292,818,135,148,093,157,747,904,009,502,378,791,
396,143,663,728,989,700,821,303,314,068,020,014,641,443,258,865,327,968,840,
845,722,154,148,070,905,192,217,667,082,755,451,841,581,922,722,652,076,764,
081,684,303,482,663,659,905,245,580,603,584,781,486,730,684,029,028,007,070,
196,232,790,977,799,900,783,923,865,894,049,804,851,123,526,906,240,911,938,
059,247,219,120,943,239,484,628,895,649,186,028,870,619,024,606,482,553,196,
498,439,376,339,980,746,804,809,823,205,780,807,022,345,793,191,754,438,078,
075,270,816,428,378,585,356,462,899,774,702,113,877,884,995,964,097,502,290,
505,924,900,858,969,814,829,401,655,992,904,772,212,680,284,260,704,536,568,
412,034,599,302,316,452,487,308,553,343,448,541,733,352,254,507,645,153,249,
902,123,574,177,627,857,344,286,127,576,033,174,393,876,577,483,878,216,945,
312,305,815,278,876,365,263,133,078,930,913,984,068,100,768,354,354,517,775,
750,374,840,762,780,690,376,704,286,580,859,285,363,855,447,578,586,864,935,
741,956,182,241,080,939,977,737,774,028,847,295,139,077,805,147,360,694,942,
763,024,732,102,626,304,283,815,830,705,354,848,110,718,755,377,278,811,393,
446,891,370,941,365,080,868,261,132,245,093,517,642,059,916,063,769,117,492,
141,569,610,991,376,291,125,190,095,201,775,008,000,687,227,224,155,489,606,
247,697,513,494,734,653,969,526,181,236,619,823,479,064,498,212,540,350,060,
404,554,209,491,382,086,033,424,403,189,991,550,778,442,097,250,967,943,978,
564,321,585,783,413,364,063,642,164,115,509,657,661,618,092,469,958,763,255,
129,625,317,931,912,137,210,031,335,878,207,719,760,496,595,779,210,137,121,
132,997,420,179,452,787,119,210,282,525,823,668,707,568,094,414,422,347,798,
380,232,746,020,499,137,185,266,758,893,665,399,118,697,460,357,191,494,085,
904,109,770,322,182,052,925,955,166,143,843,505,527,194,398,027,099,030,631,
869,818,900,176,537,565,538,848,112,389,878,799,131,898,208,531,385,478,894,
842,284,123,464,954,297,510,532,397,751,287,678,678,649,108,049,351,676,145,
847,928,988,602,171,413,559,636,822,939,114,196,794,620,698,259,824,038,578,
000,356,002,596,810,970,048,524,305,809,576,111,962,193,135,507,007,311,259,
719,398,655,815,617,722,660,929,149,065,768,113,332,693,183,942,656,920,860,
299,595,314,601,126,956,588,601,800,143,264,845,883,430,893,221,900,883,039,
589,122,749,244,645,714,220,669,501,084,185,468,886,901,617,556,021,212,473,
536,470,456,699,833,316,135,116,720,321,151,574,673,568,065,443,001,251,951,
849,281,726,549,294,709,713,144,107,544,740,467,322,451,710,650,688,370,893,
387,098,098,221,564,547,914,410,951,252,417,745,566,921,958,987,442,467,070,
743,672,408,850,321,605,842,378,862,172,965,489,408,224,961,577,589,093,648,
439,521,952,130,441,951,460,973,152,570,936,851,811,945,582,502,510,208,197,
243,855,881,485,777,016,397,736,375,030,002,684,487,254,912,992,710,088,736,
704,142,916,610,674,049,817,227,922,773,215,190,218,260,258,175,552,337,289,
408,401,603,484,366,062,826,186,782,462,564,800,734,215,938,451,335,566,904,
830,386,125,954,296,361,325,656,881,569,951,933,880,133,483,321,406,140,550,
541,823,576,162,160,225,242,346,018,840,621,323,923,101,527,921,565,853,968,
273,205,759,541,777,489,159,631,551,700,675,307,849,651,125,494,559,647,482,
685,914,225,326,222,206,830,996,551,385,901,235,162,859,702,518,918,523,948,
596,380,863,537,199,520,506,618,631,502,685,757,467,459,455,848,272,937,945,
842,105,166,938,926,176,987,798,212,647,241,743,621,140,582,922,316,400,662,
216,369,913,092,365,320,954,201,820,201,449,367,916,750,058,791,439,854,880,
849,187,832,116,082,491,153,905,307,614,815,919,667,458,971,705,639,905,951,
251,821,612,193,521,235,893,203,596,828,313,790,084,212,101,896,861,346,620,
920,757,286,201,531,407,891,162,161,589,663,302,598,138,691,555,032,273,275,
012,201,141,910,380,437,299,878,273,081,503,433,196,282,655,373,112,781,186,
958,650,472,836,504,454,884,208,153,160,344,638,123,422,649,779,320,760,587,
934,200,145,377,444,127,752,577,903,502,964,299,809,547,765,362,546,908,638,
897,890,123,336,648,961,392,889,925,380,171,732,344,663,190,763,505,866,501,
098,119,815,519,687,201,299,047,021,883,714,479,141,366,569,063,750,818,140,
021,411,604,198,111,875,185,320,391,025,956,448,170,352,162,146,754,136,656,
868,833,480,930,847,660,442,099,295,746,850,592,342,759,029,231,584,602,975,
581,158,517,159,759,749,131,755,380,997,269,058,379,939,805,911,216,662,260,
198,256,980,247,594,079,734,188,120,364,513,510,788,359,118,128,689,611,089,
303,153,653,162,231,480,144,492,977,182,931,130,489,800,348,163,741,137,769,
303,262,276,009,299,597,108,169,358,265,163,725,649,966,929,840,262,199,210,
024,196,824,970,538,351,320,981,704,347,424,174,579,942,481,485,134,452,395,
100,747,856,129,620,604,975,859,381,268,583,103,196,399,165,477,138,311,437,
281,732,015,806,111,956,379,466,074,645,891,261,209,072,350,302,891,903,006,
697,621,304,905,683,632,356,252,748,000,225,732,771,548,927,465,223,367,543,
894,999,503,202,367,927,230,031,601,234,226,300,902,359,676,786,390,558,903,
299,173,972,912,653,316,990,156,787,491,177,040,110,156,858,872,254,925,183,
925,912,666,439,870,630,259,045,850,665,485,237,478,351,496,759,374,568,177,
806,635,607,495,560,170,022,066,511,128,289,604,000,967,599,108,610,599,846,
423,796,820,635,420,897,244,162,323,369,973,000,966,236,971,725,195,870,230,
157,291,495,348,244,880,542,782,983,679,689,973,190,863,687,035,500,800,721,
903,576,765,210,718,255,359,936,767,319,435,471,114,069,864,066,873,736,822,
415,109,764,022,166,274,865,770,976,500,332,632,035,872,074,901,178,271,054,
635,142,387,988,249,798,377,996,773,479,729,236,481,595,633,203,358,293,119,
287,599,314,276,338,010,569,312,738,829,683,749,433,491,829,823,985,771,747,
196,053,732,010,879,809,762,960,763,090,935,495,155,834,547,108,668,261,172,
948,033,880,760,457,855,384,728,128,275,524,183,217,235,331,007,382,521,012,
327,464,805,438,363,799,006,184,425,074,747,567,857,581,066,607,125,495,317,
401,524,610,745,265,804,154,442,956,779,605,768,918,975,369,948,732,745,320,
864,105,352,492,601,370,792,436,281,249,181,476,651,223,877,938,257,913,989,
095,826,512,271,797,033,191,073,013,396,149,026,087,667,885,684,952,491,029,
112,627,234,044,224,528,090,542,490,701,592,054,351,093,538,411,374,156,522,
049,295,854,070,402,654,837,350,790,776,240,424,119,159,481,877,923,820,744,
708,062,935,400,229,846,088,322,106,197,789,362,527,283,109,858,580,212,357,
512,166,326,428,905,574,374,918,505,473,051,963,872,189,732,653,716,998,757,
897,741,532,148,827,921,385,397,428,678,608,564,347,975,789,434,852,656,124,
319,510,027,746,479,398,253,379,735,377,454,973,137,033,426,669,301,596,567,
723,011,640,432,340,380,580,671,179,084,753,255,993,408,299,259,498,038,352,
872,862,781,213,136,203,529,132,520,002,772,476,666,512,472,680,063,112,554,
766,985,592,022,399,536,060,964,972,971,724,886,435,863,690,389,921,245,156,
907,212,857,149,066,298,929,238,426,909,281,157,050,434,587,624,851,020,649,
341,716,134,324,795,262,243,003,669,717,067,476,250,568,214,202,389,828,045,
692,571,946,491,512,235,523,725,037,128,709,634,415,129,850,335,112,029,421,
890,453,148,589,460,829,903,346,410,203,476,328,297,326,055,640,680,000,912,
559,623,120,901,857,610,882,667,460,254,926,633,638,252,285,917,512,209,553,
834,606,467,598,612,254,951,814,880,268,246,589,914,659,989,325,427,364,921,
451,053,022,452,297,709,984,336,963,415,765,401,716,685,390,648,668,455,010,
732,584,913,364,120,219,572,931,721,874,653,863,883,571,549,296,065,800,166,
488,068,304,441,414,228,834,199,388,102,946,272,192,860,377,189,976,917,791,
741,914,728,881,229,823,622,382,095,334,112,319,775,178,446,681,633,744,740,
252,633,713,664,569,992,095,918,217,950,798,061,256,363,887,471,972,830,646,
608,477,994,741,184,028,158,130,560,926,815,476,324,235,473,887,182,519,378,
800,323,069,063,937,986,103,106,742,246,490,995,693,526,151,415,074,451,972,
310,352,049,830,188,258,843,520,060,574,278,627,623,262,962,530,519,080,662,
176,112,477,909,252,584,114,089,615,546,012,555,599,075,293,527,888,651,143,
055,929,977,739,179,816,254,285,825,727,098,294,391,584,595,133,684,031,837,
576,829,935,126,643,929,274,724,889,824,772,153,308,561,255,085,259,808,879,
656,328,292,116,582,185,539,463,068,619,953,748,340,912,079,074,330,271,736,
046,651,965,737,798,158,600,790,908,514,678,165,404,739,518,742,603,576,155,
092,548,670,042,143,974,644,928,675,457,721,556,422,797,532,679,576,570,085,
018,810,780,594,684,650,838,808,599,887,423,947,721,813,964,181,034,700,870,
857,196,523,406,080,449,436,242,105,898,543,589,462,068,663,861,903,376,490,
021,115,450,342,401,731,086,870,644,631,041,053,663,611,334,680,661,259,393,
131,652,739,671,522,171,759,239,890,737,221,785,492,474,341,537,630,703,690,
419,480,933,544,889,675,915,113,502,135,495,853,753,578,917,115,004,127,489,
543,427,331,367,853,082,901,033,576,219,118,290,659,648,942,798,010,685,829,
903,797,242,259,859,918,266,468,289,039,204,636,892,042,862,835,967,315,060,
973,347,310,550,469,846,543,391,036,566,423,258,385,011,300,785,035,535,853,
619,962,471,460,979,116,006,349,367,827,766,600,882,860,339,072,181,686,282,
472,276,664,106,402,216,344,921,887,071,183,804,874,110,551,733,825,319,439,
219,074,667,166,059,841,075,005,126,144,693,381,942,435,067,948,884,385,497,
987,412,061,502,012,960,413,052,821,038,254,113,981,413,438,886,018,803,033,
063,871,405,688,460,441,798,709,356,083,234,018,436,391,623,061,827,716,901,
285,810,611,500,250,470,491,349,136,226,467,243,862,512,023,351,610,895,698,
786,301,506,731,513,255,104,992,916,514,517,832,419,658,123,169,155,300,256,
366,168,429,942,059,935,181,158,786,994,229,751,049,329,247,670,512,157,374,
738,127,790,336,999,130,219,018,516,837,051,605,000,886,225,759,076,560,459,
364,628,404,975,001,636,735,476,558,415,528,301,630,698,867,438,359,470,391,
979,518,814,034,032,054,894,325,185,949,058,890,572,371,533,017,026,819,689,
230,853,905,287,113,675,938,539,122,880,042,289,451,720,336,843,347,817,744,
895,846,507,224,998,881,370,256,407,526,781,264,046,197,964,350,173,802,219,
965,455,550,467,259,492,128,341,809,183,221,388,500,768,897,792,761,464,764,
751,787,559,411,396,235,487,560,655,185,175,182,539,311,240,156,846,254,119,
368,901,142,449,912,623,190,591,820,185,428,791,758,609,035,032,875,708,680,
829,952,727,451,836,083,856,701,048,954,711,747,005,159,988,151,128,841,838,
598,425,093,434,661,882,784,895,295,544,023,562,279,483,543,001,774,598,459,
970,723,893,915,073,057,165,798,236,384,545,540,773,589,414,967,457,784,605,
868,229,979,835,969,678,104,286,425,900,788,677,416,931,798,927,303,737,932,
459,569,102,000,282,753,752,199,397,446,511,595,941,532,255,857,159,582,070,
648,634,618,022,794,526,721,632,477,023,756,654,616,179,239,810,224,252,061,
221,718,685,074,164,622,614,468,646,671,066,294,597,924,513,100,567,777,973,
044,096,205,447,778,518,874,297,424,768,233,759,334,418,834,296,879,292,873,
748,829,171,430,037,939,467,583,817,176,339,065,422,771,137,273,318,628,751,
088,411,221,998,073,732,617,458,094,962,602,277,639,157,003,523,709,409,457,
719,308,327,905,869,652,900,500,684,512,502,466,683,539,709,631,160,536,516,
654,223,438,263,336,391,148,001,766,495,916,572,013,911,612,408,088,921,540,
158,807,965,118,885,608,963,375,367,255,575,690,976,590,399,230,193,970,037,
122,744,601,169,377,778,746,192,776,311,466,949,132,452,195,469,453,234,417,
937,817,070,002,977,550,678,404,420,990,982,455,436,291,057,730,746,242,830,
470,656,942,592,778,376,039,466,435,516,180,461,578,398,886,891,871,583,467,
608,294,152,079,014,527,012,995,911,527,796,476,225,578,392,768,551,257,521,
704,145,554,371,117,146,034,079,895,940,379,605,883,374,508,001,428,555,193,
548,434,600,633,476,077,041,504,922,616,692,638,780,233,890,818,999,924,273,
931,864,570,465,062,917,837,071,026,552,636,443,789,489,086,526,123,369,407,
887,793,853,231,954,113,400,712,833,729,792,298,527,276,433,152,796,019,804,
678,156,205,977,933,239,958,396,033,445,491,633,543,562,695,769,733,967,409,
008,550,853,000,357,628,279,580,125,284,154,686,011,221,150,245,097,809,664,
803,971,950,324,000,669,258,878,934,166,531,415,597,522,584,149,277,970,315,
590,729,793,783,155,039,081,604,236,586,285,367,907,031,489,840,903,294,244,
500,696,760,784,638,347,027,981,535,062,716,023,856,178,299,131,841,593,859,
647,241,213,781,951,762,743,225,924,374,395,997,536,233,870,655,056,641,703,
125,592,452,050,881,316,239,888,273,669,875,401,252,735,808,669,516,736,238,
561,760,898,436,242,739,508,492,750,359,978,012,983,854,832,485,090,996,731,
479,128,214,577,305,620,803,585,227,725,099,258,688,780,249,934,141,254,788,
529,179,860,137,647,779,302,640,192,969,732,176,397,840,359,246,196,281,268,
144,425,112,114,072,648,122,415,540,279,713,445,001,505,771,823,173,828,068,
886,295,620,466,737,199,426,608,131,478,159,729,013,205,947,673,779,227,017,
189,874,189,970,813,457,634,639,905,275,116,122,608,731,996,507,506,571,683,
507,024,635,411,037,136,316,763,833,472,419,852,507,845,721,130,676,993,889,
566,948,317,634,719,623,907,553,702,320,492,863,154,482,642,772,042,615,473,
491,861,336,707,535,311,177,665,791,809,291,288,361,313,714,805,467,259,991,
948,724,773,677,492,042,610,784,830,683,358,902,296,181,234,997,288,489,386,
646,154,298,146,527,377,330,425,239,805,918,599,899,790,121,093,005,772,682,
972,111,534,874,641,839,499,487,780,727,024,494,434,103,454,557,408,177,994,
182,158,410,236,082,612,575,512,098,070,311,961,829,088,720,320,620,107,333,
487,695,631,592,862,898,815,259,787,710,581,023,313,643,343,378,867,285,487,
044,325,264,774,137,073,673,128,736,932,092,038,238,762,490,029,266,629,518,
189,777,059,319,522,474,236,198,915,602,120,231,248,974,973,029,740,833,599,
490,002,994,939,607,565,438,734,494,426,004,835,230,259,671,103,926,688,753,
674,329,972,795,257,892,746,258,841,519,969,350,522,255,634,931,439,817,814,
285,145,763,695,702,824,431,365,695,243,285,505,700,783,004,021,852,542,278,
884,367,392,313,715,892,683,087,119,920,978,647,724,886,442,374,010,369,088,
391,923,530,891,835,637,959,999,994,178,520,870,448,232,199,727,346,574,184,
044,462,734,964,355,826,074,982,482,800,776,725,647,653,778,970,873,856,553,
711,134,762,810,130,690,102,463,597,764,302,581,499,415,951,031,676,833,978,
757,626,315,430,644,817,544,767,170,663,810,752,321,163,467,531,813,937,955,
843,094,966,322,570,470,443,815,946,282,275,272,106,987,214,261,915,883,262,
044,902,701,195,269,087,331,067,105,666,858,385,456,572,769,121,247,001,030,
255,977,564,577,245,740,344,024,621,601,318,318,598,617,399,180,110,779,293,
430,067,962,942,003,441,612,281,587,722,811,804,337,380,676,721,866,042,108,
078,442,260,794,528,870,078,205,699,209,779,707,570,352,650,982,876,230,850,
702,810,782,087,909,230,767,036,425,212,516,186,164,136,408,852,073,545,238,
718,168,604,986,633,499,747,306,834,404,091,336,893,999,520,986,016,166,310,
196,876,368,810,934,580,879,866,220,553,171,600,403,826,977,810,797,749,500,
534,819,186,413,917,606,430,952,072,542,683,379,894,153,892,082,049,517,516,
026,203,450,474,307,362,075,750,274,211,997,222,897,976,450,181,667,928,822,
796,596,019,101,547,496,150,777,623,903,946,902,185,049,329,063,325,194,777,
785,288,659,716,367,875,360,112,237,778,705,659,795,366,047,354,133,412,142,
014,526,385,063,588,377,671,704,616,845,158,130,590,488,759,744,329,131,182,
142,398,059,317,569,515,152,580,182,425,206,174,702,475,547,350,268,572,918,
844,684,862,177,426,856,391,107,100,554,883,013,454,297,463,893,102,074,685,
601,066,815,568,948,177,856,557,592,407,553,673,158,894,986,992,449,245,782,
465,199,642,571,487,880,204,762,932,559,436,652,882,030,713,954,628,059,448,
410,909,104,242,846,746,890,910,286,132,204,324,090,948,940,602,968,061,756,
828,882,569,374,713,136,212,525,190,675,677,057,897,221,379,177,564,039,509,
657,565,752,964,685,928,398,047,098,246,044,010,096,968,852,622,093,665,048,
266,229,706,252,240,702,522,939,444,914,183,124,093,955,177,522,673,121,355,
868,512,489,769,453,857,518,102,803,711,383,921,962,929,567,416,536,421,202,
327,804,009,243,187,847,192,246,035,442,664,660,436,565,107,869,083,113,038,
775,324,992,090,149,750,256,645,717,581,015,744,343,009,193,509,254,586,942,
980,599,911,212,934,896,907,893,306,172,784,592,281,750,883,953,331,141,598,
073,020,729,142,084,826,527,576,106,084,831,320,942,672,507,628,654,018,414,
753,180,062,541,543,133,056,424,662,016,662,065,731,321,123,207,381,109,399,
980,502,713,132,345,892,704,853,744,263,247,361,548,141,719,536,505,463,441,
939,841,965,033,877,873,046,691,421,690,625,130,622,304,239,599,440,537,637,
603,405,687,445,637,184,925,204,748,881,233,068,697,847,954,791,043,782,070,
447,228,580,169,885,709,578,666,465,452,178,052,958,144,827,967,970,175,553,
636,742,476,579,937,476,226,975,213,739,273,901,326,021,416,668,949,199,171,
635,201,541,846,638,224,565,212,393,101,872,602,665,936,621,854,127,620,061,
303,351,018,415,482,749,214,795,597,018,901,178,776,299,903,392,896,726,134,
388,935,931,452,494,695,757,377,258,920,543,928,068,586,115,813,036,487,304,
561,592,226,049,929,623,885,334,893,088,420,012,260,969,010,275,288,126,541,
186,741,454,708,070,451,805,381,843,569,946,899,321,174,750,992,615,110,857,
972,116,665,958,892,271,835,191,355,682,256,518,955,574,043,313,626,858,652,
416,409,799,935,690,346,826,939,138,012,349,988,736,981,197,044,026,843,320,
718,401,661,105,255,454,833,507,398,754,750,920,372,650,098,087,351,038,430,
857,545,368,711,850,934,548,429,651,413,296,938,042,079,372,570,308,939,751,
835,965,127,426,096,400,200,162,133,539,891,042,225,353,707,164,905,556,577,
332,080,179,958,573,587,383,594,339,741,869,100,719,045,239,445,050,788,501,
253,844,465,311,929,476,489,808,534,412,555,794,531,508,741,551,527,818,694,
370,201,794,408,691,257,022,332,022,339,194,862,881,407,734,529,217,713,010,
887,639,193,038,293,029,169,770,530,988,371,128,757,059,178,031,152,208,386,
461,432,190,909,760,333,067,703,759,311,726,275,323,475,552,926,426,314,003,
994,081,375,303,794,599,349,549,790,657,741,564,022,940,043,884,029,443,033,
358,988,318,325,411,030,717,275,591,802,241,942,267,510,150,583,100,074,929,
545,059,726,176,930,144,695,017,014,301,777,826,505,222,718,236,025,711,063,
578,076,773,417,217,610,971,378,776,069,805,549,771,062,024,697,331,135,437,
651,128,735,052,815,808,557,582,955,578,611,716,894,614,891,478,050,549,968,
386,608,541,880,271,767,355,713,016,526,345,858,678,399,022,765,734,535,551,
281,190,309,106,519,167,966,299,918,589,341,197,426,577,556,383,578,430,006,
336,200,768,817,517,478,857,876,159,765,203,963,720,845,822,235,428,828,387,
367,448,106,509,136,704,445,181,775,734,507,815,222,367,397,004,716,026,846,
327,446,914,956,305,212,282,303,885,810,010,480,566,751,961,683,642,636,135,
901,308,244,410,173,441,177,850,901,794,673,357,077,108,455,061,864,266,619,
622,618,550,710,216,159,643,936,731,893,421,125,806,669,690,704,285,541,504,
000,506,353,993,890,188,977,999,760,294,260,469,456,859,593,652,096,555,380,
245,354,266,762,006,059,253,720,218,219,541,050,158,372,947,397,866,147,498,
339,575,102,981,044,391,596,085,457,084,055,055,817,441,321,375,810,102,730,
076,597,660,988,908,313,742,537,088,389,209,506,466,108,079,172,874,676,556,
992,234,064,676,772,434,668,704,316,047,913,804,735,440,381,894,179,067,757,
166,356,751,924,331,028,013,531,405,894,095,538,723,603,913,832,360,457,373,
154,923,512,976,867,831,478,912,853,915,850,969,265,840,200,384,086,993,352,
749,679,409,475,504,984,225,668,380,231,662,776,157,014,151,535,689,697,828,
619,137,352,015,418,328,317,653,330,050,174,345,506,292,183,179,466,008,676,
313,669,680,015,686,369,244,693,523,695,359,491,402,508,412,116,420,415,153,
865,364,655,108,850,670,329,942,638,137,109,208,424,377,673,393,892,764,297,
959,016,741,039,880,858,365,916,927,597,139,103,861,507,783,269,939,443,688,
990,337,487,087,647,100,522,062,279,579,315,286,631,079,178,495,732,635,102,
897,773,004,366,762,801,221,179,072,235,900,679,879,464,315,867,296,005,801,
737,630,473,502,240,220,186,679,223,052,483,447,605,965,800,134,401,234,782,
672,956,133,984,741,010,288,153,220,418,668,933,069,555,550,054,951,609,656,
440,284,793,235,317,691,005,897,303,633,309,808,210,362,198,468,653,821,012,
363,670,749,870,124,709,786,091,141,018,273,377,360,716,636,820,682,408,244,
796,667,320,881,065,675,192,431,512,357,652,431,587,007,462,110,814,830,630,
500,568,730,768,933,535,248,566,302,387,884,404,413,004,313,215,400,127,813,
692,726,600,420,850,430,962,327,568,054,428,584,063,184,876,320,062,016,350,
518,084,473,274,169,366,876,595,227,574,238,811,518,371,918,698,295,073,987,
383,644,632,257,175,332,112,324,863,797,923,239,044,449,856,033,410,725,365,
328,727,487,419,560,686,148,659,595,990,012,301,294,348,880,701,519,368,597,
744,904,776,967,529,762,009,775,209,542,302,649,324,259,102,695,325,398,602,
389,492,274,890,777,692,788,022,241,742,920,405,104,315,864,301,579,849,235,
189,914,057,975,381,059,417,859,925,206,716,187,777,002,854,236,805,581,515,
707,743,366,798,667,036,055,549,848,261,783,581,432,423,761,129,301,549,157,
910,654,246,497,733,187,732,602,420,108,574,532,921,977,825,131,975,280,392,
522,829,628,416,489,339,310,864,307,942,601,529,808,408,834,101,657,673,196,
546,882,379,030,733,854,520,465,313,284,617,973,351,909,461,063,405,594,140,
011,442,919,572,417,377,424,252,810,802,180,197,019,953,966,259,513,463,711,
376,608,223,664,792,482,562,174,912,372,948,284,887,479,471,963,162,601,721,
674,829,912,887,045,423,636,779,353,614,202,159,545,162,903,150,030,068,013,
770,220,963,568,093,145,998,089,214,974,111,811,733,599,565,342,956,248,598,
665,817,387,418,020,060,877,523,401,026,337,349,759,986,960,344,158,842,254,
210,954,295,572,587,596,388,472,703,605,261,402,845,346,956,848,118,295,706,
458,618,975,904,983,966,895,869,203,785,141,204,715,783,424,596,954,004,324,
814,570,774,888,006,142,681,200,907,962,041,886,686,093,345,737,691,822,602,
849,333,934,531,489,862,757,130,978,998,355,509,400,653,375,027,062,128,224,
985,979,856,565,097,241,436,994,123,323,942,356,655,089,514,350,748,171,880,
813,478,518,744,768,444,524,573,021,556,031,672,124,619,564,193,737,461,605,
509,038,534,965,529,754,064,210,669,418,949,296,996,702,448,599,350,403,187,
607,315,798,624,747,664,264,230,531,962,876,628,339,872,424,884,445,455,831,
754,722,398,340,734,640,405,300,411,905,601,954,580,323,711,001,164,464,563,
985,347,135,358,357,623,973,399,750,893,131,038,698,204,301,353,899,897,567,
677,462,402,479,417,768,212,591,832,505,564,358,531,799,758,035,889,933,179,
226,084,001,768,673,615,765,972,206,215,644,924,233,375,692,217,198,453,403,
229,631,306,449,598,704,562,607,134,616,372,838,333,113,778,910,335,913,919,
112,411,620,211,232,428,493,284,998,607,121,498,785,167,673,517,271,220,862,
728,255,906,237,856,087,658,310,118,578,155,835,617,306,818,945,765,540,835,
511,133,487,312,721,967,914,612,809,351,552,088,223,497,682,175,682,072,274,
731,301,976,017,362,148,849,305,087,617,170,875,127,007,110,411,015,629,256,
795,985,999,380,668,280,118,305,202,555,826,393,195,037,881,618,675,735,204,
527,744,349,077,683,762,812,013,191,812,396,453,922,232,773,063,265,246,429,
557,179,643,394,112,253,830,285,511,050,066,905,103,492,895,507,932,858,090,
233,442,249,722,055,882,179,754,644,218,688,302,443,649,009,413,356,641,355,
438,679,863,393,343,110,658,363,043,818,408,984,093,706,570,980,893,841,051,
312,707,900,972,676,988,900,417,972,323,765,779,461,765,968,562,516,701,865,
134,761,006,781,601,097,460,978,005,438,597,001,265,951,580,796,440,065,692,
310,823,657,143,014,006,831,329,967,323,801,745,040,165,827,216,265,882,046,
506,110,663,601,269,773,198,317,033,061,186,401,225,962,186,321,369,225,741,
956,448,334,439,223,385,630,926,145,107,434,225,369,679,533,057,464,230,283,
539,443,453,556,234,956,177,868,619,890,712,596,019,392,736,656,107,321,708,
572,268,170,183,068,893,195,079,587,206,945,338,533,917,099,570,036,586,554,
839,344,653,635,671,955,832,785,036,175,101,883,756,623,187,536,242,743,285,
317,420,347,990,617,313,551,190,613,719,358,161,167,055,202,878,099,346,639,
733,301,191,685,508,223,019,778,754,207,270,090,790,126,869,863,239,020,949,
614,263,863,902,818,036,329,442,113,778,151,845,064,425,189,255,501,798,675,
564,328,942,244,283,697,031,128,829,205,068,184,733,978,263,126,787,311,920,
888,330,283,793,391,043,017,866,388,014,386,681,719,036,604,651,327,798,506,
730,176,589,321,549,364,449,037,060,362,494,344,951,424,881,132,823,518,593,
040,123,036,902,183,830,723,615,262,204,084,498,993,998,234,721,334,826,102,
255,236,614,798,057,710,248,569,937,110,213,943,990,296,798,563,956,767,237,
538,999,857,534,818,307,511,342,317,574,928,871,695,642,128,905,574,994,412,
146,658,807,064,951,570,691,484,426,024,819,477,120,260,324,572,564,282,172,
442,056,645,730,999,421,747,368,823,396,628,084,416,991,446,212,625,997,269,
363,945,764,568,385,262,337,280,267,731,245,560,499,841,094,439,818,920,223,
440,967,432,862,112,612,262,347,322,102,778,339,604,611,203,381,484,103,193,
383,176,725,153,472,160,093,015,723,743,912,396,466,825,204,779,085,463,932,
487,063,141,916,988,949,644,433,547,887,328,249,459,314,744,923,279,588,889,
942,994,997,393,021,191,014,193,082,353,864,528,009,320,914,074,688,656,442,
821,571,548,576,039,478,974,269,473,303,975,128,475,878,561,546,877,715,473,
392,546,133,090,165,367,418,116,458,120,826,946,971,863,655,031,104,179,253,
245,908,381,433,468,840,565,827,064,456,798,670,791,276,080,776,883,175,517,
935,875,639,967,183,607,564,535,349,005,900,434,651,914,155,716,500,885,996,
121,425,929,366,077,633,709,519,698,270,133,685,020,768,231,701,399,963,469,
210,285,188,958,453,276,847,941,445,593,126,554,118,253,536,919,766,288,659,
397,151,642,451,563,762,151,754,604,370,566,355,212,146,687,106,220,382,513,
463,472,490,797,386,288,439,309,090,676,621,965,048,044,032,888,202,679,414,
793,659,506,769,749,576,654,925,131,000,883,870,411,067,283,405,208,624,326,
779,489,337,896,611,337,585,798,169,593,578,777,552,927,718,838,448,396,763,
107,529,040,351,588,553,922,043,080,828,360,150,517,986,355,313,687,487,330,
916,546,649,386,553,622,527,259,975,478,085,914,739,670,711,042,727,421,605,
523,773,985,233,341,747,374,471,306,098,075,872,453,014,931,170,383,046,630,
972,482,659,972,439,620,732,921,112,450,604,440,353,572,862,151,959,653,295,
781,982,647,122,752,065,954,659,828,303,119,672,236,197,540,083,543,217,256,
676,474,544,214,810,028,629,551,729,236,805,709,776,269,306,734,475,440,078,
617,462,156,550,178,075,874,212,666,728,083,515,569,085,188,317,467,860,827,
162,669,166,966,347,550,453,813,927,353,057,174,096,680,025,805,700,026,450,
426,810,902,944,295,774,915,377,569,201,540,998,458,617,233,719,712,772,563,
075,873,641,417,398,873,163,692,306,311,992,983,270,546,400,758,823,452,701,
171,591,699,599,685,233,693,294,810,677,648,946,092,211,394,668,542,369,119,
363,125,341,220,069,738,563,072,095,391,645,503,253,841,835,514,744,186,343,
181,241,164,444,582,120,818,247,023,731,246,628,306,178,218,225,471,809,746,
448,370,706,552,331,575,385,763,453,687,303,964,064,051,502,053,163,998,635,
902,565,421,862,996,125,903,918,439,555,935,637,163,364,463,931,118,979,274,
313,680,612,187,900,928,525,950,480,001,315,173,701,876,938,517,796,675,205,
301,046,560,633,594,513,145,445,717,578,695,786,074,017,443,104,947,571,453,
409,729,334,847,929,499,470,114,607,401,023,830,349,437,897,828,416,328,616,
602,369,711,137,786,186,525,581,987,438,698,986,758,106,804,333,421,511,341,
415,902,356,079,447,247,999,533,860,884,268,839,295,158,677,517,899,971,136,
448,783,890,449,288,817,147,908,581,513,501,593,161,439,104,387,211,257,600,
353,007,720,578,253,130,945,308,182,235,085,115,707,667,415,205,148,709,231,
210,012,228,625,820,649,806,727,948,159,634,508,258,572,475,933,010,123,396,
081,957,954,565,236,318,017,252,962,945,698,863,817,031,043,950,776,065,329,
179,828,012,727,764,491,351,975,093,696,587,613,870,710,716,565,245,969,579,
375,586,175,857,436,807,267,441,205,342,301,856,729,950,544,413,652,590,011,
953,409,629,686,516,917,882,592,064,016,217,940,085,500,941,377,896,940,585,
365,093,790,697,614,173,106,970,371,075,406,282,512,300,660,750,804,099,981,
937,708,166,864,061,176,554,167,694,137,088,346,986,828,148,068,267,754,418,
443,092,552,883,927,905,758,647,528,123,534,209,858,837,897,590,274,540,649,
151,535,710,742,241,438,406,653,566,778,029,718,357,188,932,097,732,538,556,
637,007,115,752,548,475,604,240,972,601,365,096,521,019,117,962,871,636,523,
173,983,626,323,943,244,099,523,181,659,509,492,967,560,129,786,352,466,271,
409,110,114,992,178,940,796,386,208,989,729,202,811,001,566,798,426,193,456,
327,985,302,776,668,180,801,478,338,760,730,912,402,602,381,387,942,456,629,
305,709,646,558,550,659,140,485,418,498,346,167,550,335,549,453,692,461,656,
891,807,574,114,500,224,718,306,231,652,054,587,981,039,735,304,440,371,076,
619,983,099,330,660,229,687,336,753,563,266,298,174,978,880,699,073,925,190,
351,465,072,540,659,086,804,801,750,943,049,149,871,409,771,884,714,532,095,
952,392,408,225,608,180,221,910,322,637,650,176,110,388,789,807,497,974,376,
029,751,956,033,452,902,609,598,918,874,672,526,322,155,425,259,593,857,197,
905,960,959,408,455,978,536,847,716,660,025,669,060,343,733,367,083,033,948,
263,946,641,179,518,615,158,384,916,074,106,766,982,153,789,114,253,037,424,
855,030,827,557,059,824,425,123,672,486,935,903,430,310,268,847,801,691,007,
111,447,691,020,480,290,455,126,519,537,915,190,236,967,052,753,357,372,345,
850,402,586,242,505,876,498,832,387,662,601,566,654,992,030,792,133,798,338,
759,126,745,546,149,039,130,687,834,176,407,416,343,208,939,092,399,296,712,
374,507,394,489,473,563,957,033,320,176,534,927,920,838,560,495,769,117,681,
632,923,947,300,847,225,279,013,552,927,949,413,529,538,175,693,544,609,298,
995,114,948,778,507,801,483,739,911,875,293,896,891,420,498,935,615,234,150,
333,646,042,832,374,905,990,602,154,626,435,779,800,863,326,900,254,871,945,
609,664,130,610,790,945,698,442,471,294,382,567,230,662,541,305,567,794,370,
895,511,683,630,874,512,740,195,755,492,700,819,452,081,025,968,910,920,496,
386,640,147,997,756,321,283,716,349,968,170,091,291,529,762,530,855,495,090,
556,160,971,053,595,316,445,078,680,726,517,048,074,216,854,259,053,206,489,
789,439,994,624,420,392,896,009,597,772,647,373,091,678,248,118,149,525,768,
793,790,136,911,920,541,147,653,323,276,589,584,511,204,023,894,179,904,637,
583,966,325,162,240,441,586,876,081,591,943,732,495,682,058,897,483,892,562,
449,790,606,166,278,941,098,263,986,434,798,589,551,474,925,619,873,785,985,
608,739,553,664,440,737,640,053,423,784,367,053,722,490,136,035,794,443,215,
342,445,067,119,015,555,251,357,335,130,659,035,134,320,410,459,194,151,529,
878,558,934,055,322,161,253,868,041,486,137,607,627,408,398,538,949,621,643,
605,628,276,453,477,955,471,289,954,870,032,111,508,722,004,421,322,707,950,
102,591,063,390,238,219,975,444,114,285,636,407,436,556,503,963,301,768,092,
609,319,242,780,529,705,226,564,732,752,823,534,071,745,243,998,539,535,173,
166,933,751,348,118,961,689,608,208,213,669,713,036,193,360,947,840,801,000,
436,521,603,886,634,954,360,499,487,715,374,847,015,860,332,145,550,680,028,
466,308,201,758,743,164,100,556,792,996,209,716,591,021,436,191,280,009,597,
230,719,269,201,814,174,153,652,708,365,626,852,786,929,394,330,247,434,735,
107,814,342,185,158,780,843,327,440,272,536,224,156,858,043,944,679,843,971,
464,395,138,453,189,320,672,823,385,110,424,348,596,058,749,683,936,993,871,
976,104,100,501,216,093,326,949,165,423,691,946,346,995,647,003,115,700,680,
280,954,980,701,493,223,570,879,362,138,736,301,036,049,124,895,817,014,800,
555,311,535,090,730,129,887,928,747,201,819,109,540,701,801,294,021,452,078,
879,910,139,602,179,262,728,567,259,677,429,586,643,712,337,390,307,494,832,
374,860,763,992,842,427,674,922,657,800,765,959,729,127,308,446,333,859,564,
773,317,024,736,634,795,834,079,344,317,682,780,052,610,310,503,056,281,940,
821,850,169,631,639,898,129,867,292,498,275,312,811,226,946,932,793,789,347,
492,083,577,000,933,503,874,731,385,326,147,429,748,975,051,148,639,923,914,
784,446,710,848,881,846,533,145,244,455,414,979,985,938,429,880,155,105,248,
063,110,208,807,076,573,505,479,478,883,973,188,795,139,227,389,614,525,854,
283,042,619,447,164,045,381,338,954,139,176,456,856,737,772,644,918,551,520,
378,916,493,586,388,566,774,366,668,754,815,127,330,293,017,971,834,658,797,
694,372,828,005,204,308,464,456,959,403,988,766,256,203,806,654,082,029,100,
335,132,446,976,097,508,524,807,204,786,257,129,453,474,339,698,925,936,373,
010,919,410,167,075,135,537,535,563,400,678,095,480,658,727,071,799,704,246,
514,976,154,507,051,900,524,403,409,112,628,752,520,221,197,230,973,986,799,
983,351,363,044,598,632,984,735,147,931,370,040,052,639,577,435,829,121,698,
751,251,881,061,944,444,710,499,179,701,835,750,544,112,566,697,888,604,051,
873,247,959,289,736,825,868,961,685,931,469,276,729,403,089,233,930,710,705,
770,550,504,122,976,762,925,706,477,108,808,006,615,719,078,788,639,913,887,
293,748,141,318,939,961,379,226,286,718,029,424,181,048,973,418,096,172,265,
439,003,167,528,013,477,221,498,975,819,932,817,626,263,222,068,211,116,506,
641,120,090,968,352,003,364,638,397,356,119,434,709,384,131,745,056,037,766,
647,376,255,331,598,475,302,381,356,200,881,456,223,914,585,413,815,531,215,
876,799,833,929,534,452,013,555,156,994,027,424,022,427,176,383,812,032,712,
961,810,330,105,433,019,350,096,799,139,240,223,413,797,987,268,300,968,769,
946,987,706,398,844,403,730,252,753,603,317,135,782,507,812,112,068,710,244,
821,019,858,576,341,561,959,680,886,036,260,245,500,841,342,024,183,285,173,
641,931,406,684,715,255,647,425,202,107,346,031,002,338,930,641,826,188,810,
094,176,881,938,139,607,677,795,493,532,365,459,151,024,594,856,678,246,626,
785,467,085,888,944,908,172,490,224,001,442,957,970,339,959,141,099,223,842,
420,619,639,792,448,749,693,039,399,879,446,794,533,993,172,770,777,412,836,
201,839,317,517,507,258,065,784,423,265,516,197,701,771,233,321,117,688,690,
855,021,893,847,019,327,804,991,974,925,499,650,442,815,551,205,207,762,359,
536,516,601,154,684,788,140,269,803,819,285,288,737,370,885,388,796,957,528,
434,052,026,347,105,550,629,037,961,009,261,299,535,306,938,682,171,146,339,
840,464,112,468,709,655,109,900,145,858,786,750,876,973,091,479,710,344,950,
873,140,009,100,660,629,368,773,993,703,174,030,666,761,448,160,241,356,545,
146,439,870,928,559,162,297,617,241,623,159,899,450,259,051,028,144,501,572,
435,086,258,632,169,793,772,137,397,921,738,375,334,255,040,861,266,929,255,
271,239,946,213,712,443,492,667,559,750,409,702,010,059,540,012,723,194,988,
505,701,754,904,472,357,321,843,015,557,746,794,468,679,772,334,007,906,780,
981,185,859,170,765,713,022,689,565,559,978,762,320,893,004,847,569,812,194,
238,782,199,828,377,429,091,141,190,110,441,654,681,576,440,957,124,451,834,
107,105,616,594,106,774,772,641,020,491,897,635,650,034,589,899,256,471,986,
092,245,335,155,425,054,427,118,224,632,190,618,152,731,587,030,929,506,405,
403,931,654,641,840,886,634,679,118,904,559,507,405,038,206,759,883,831,666,
896,445,335,031,363,270,299,150,147,860,199,356,420,407,979,292,916,907,150,
052,165,065,394,780,896,802,246,922,306,261,362,822,888,211,129,803,896,831,
274,284,535,514,160,243,404,438,506,644,037,934,273,325,310,641,711,119,193,
706,595,362,439,715,771,556,240,717,488,122,270,981,389,264,536,896,160,211,
356,590,856,596,698,122,180,570,679,021,130,575,526,092,058,308,655,294,076,
090,709,908,134,516,673,164,320,141,082,293,506,812,442,290,327,738,597,296,
890,656,269,930,829,168,081,853,460,627,947,216,364,953,590,984,970,140,716,
811,636,745,539,533,779,140,403,882,580,438,838,204,281,063,414,471,497,303,
869,656,685,472,438,164,569,019,791,664,030,700,457,912,947,543,786,101,431,
711,414,637,235,950,902,778,825,341,401,856,203,944,258,335,061,028,842,166,
350,214,193,722,553,433,443,055,195,770,552,291,502,799,473,334,170,104,312,
068,325,542,821,359,844,857,151,601,814,994,720,259,533,563,744,261,279,296,
045,315,585,866,680,035,545,514,524,042,466,620,986,255,766,227,058,714,931,
365,435,373,358,885,965,765,664,363,219,184,940,356,102,519,513,292,648,280,
837,080,831,333,435,352,235,521,844,743,312,494,707,188,684,528,901,252,902,
490,764,920,776,120,205,005,818,351,353,329,307,730,929,682,764,204,338,640,
953,882,981,433,012,250,628,647,448,449,509,202,035,795,117,862,584,070,201,
122,695,998,876,537,815,348,516,176,265,574,238,120,385,205,746,718,430,336,
540,723,130,571,723,040,459,371,515,762,803,270,329,857,557,712,021,512,889,
907,076,991,744,262,189,133,889,971,377,885,210,749,186,720,468,268,489,924,
595,999,353,661,903,419,119,124,812,191,672,234,901,310,285,070,964,056,908,
761,984,106,224,074,728,511,345,383,117,544,436,495,914,110,255,406,978,147,
588,856,990,619,210,976,776,161,840,622,947,717,122,247,868,693,548,229,718,
324,026,183,479,374,178,459,536,772,205,271,990,986,737,362,294,325,926,588,
843,898,303,485,061,760,562,068,658,489,862,301,502,309,917,125,496,720,219,
145,450,720,480,536,192,832,088,430,483,386,731,526,792,513,614,825,714,703,
445,615,472,169,546,085,675,504,398,757,004,752,949,310,435,123,278,765,624,
975,004,717,202,240,686,609,325,009,349,792,135,502,731,217,330,299,430,903,
598,417,913,078,559,890,257,601,482,569,105,342,641,286,167,847,070,625,458,
989,707,740,960,566,857,347,471,886,242,734,311,800,858,037,311,188,543,907,
470,519,917,275,482,307,408,638,850,375,807,193,016,360,460,419,223,504,588,
554,755,873,599,798,166,656,537,872,317,902,135,648,262,255,078,078,168,230,
336,264,138,064,353,565,316,833,437,946,033,964,450,431,117,998,336,652,170,
226,782,732,064,423,402,418,238,980,519,650,412,212,476,781,147,133,143,226,
828,798,295,581,358,902,768,560,676,520,683,759,903,687,519,530,307,797,594,
332,820,038,055,383,110,891,317,176,360,593,898,984,774,758,810,712,842,662,
167,495,688,389,558,643,665,284,717,048,486,474,023,711,154,454,659,051,526,
190,914,961,008,876,239,567,794,702,624,367,677,575,583,675,782,716,180,292,
386,256,207,403,608,724,258,134,434,263,051,522,431,496,481,917,249,362,458,
439,364,555,697,101,371,501,488,661,631,815,895,236,578,660,104,709,627,892,
414,057,144,391,489,456,692,308,194,579,045,775,065,256,384,462,792,911,471,
256,845,709,278,388,062,138,865,722,389,380,109,250,108,070,488,875,471,141,
103,933,674,744,341,092,537,878,097,607,572,241,389,424,592,634,644,420,583,
214,806,429,880,928,543,074,124,328,142,299,936,312,729,339,669,870,510,403,
631,617,721,296,983,326,152,555,738,564,835,769,925,897,883,895,578,239,123,
035,393,642,226,243,000,788,748,894,389,159,836,445,676,330,042,857,689,024,
326,110,171,427,864,332,886,715,309,364,323,560,436,482,343,882,964,185,379,
845,606,714,779,297,445,910,975,459,518,869,634,537,439,087,948,474,023,526,
163,129,162,722,129,147,141,583,871,835,645,767,842,869,683,182,802,815,877,
775,942,297,987,390,976,127,684,986,657,266,493,358,167,995,713,492,555,523,
053,542,459,019,646,689,009,556,485,374,585,055,891,252,139,966,794,737,580,
686,046,576,777,220,739,619,507,041,230,325,949,493,432,800,107,227,714,593,
905,044,073,904,261,834,421,499,079,215,147,597,829,779,967,580,115,263,469,
688,336,073,887,229,265,317,922,018,837,410,979,511,967,894,168,394,973,825,
547,600,499,117,163,852,591,293,071,993,491,789,880,714,887,533,304,168,221,
696,824,274,647,570,288,279,669,954,526,978,520,551,946,730,615,275,868,080,
537,141,083,126,104,298,733,680,603,161,030,293,082,455,509,328,231,150,327,
405,751,365,425,770,012,874,332,311,095,934,544,766,196,573,852,101,745,549,
712,099,202,733,549,122,714,438,258,924,639,199,621,050,704,008,542,792,573,
813,055,710,520,864,771,350,546,340,050,302,688,190,966,751,219,965,360,906,
862,183,444,751,000,555,629,402,621,367,853,650,466,138,843,384,823,522,118,
776,540,172,673,000,741,488,590,395,883,974,652,712,789,348,964,226,581,529,
314,602,120,242,916,132,827,895,129,782,071,541,814,134,966,547,330,535,296,
373,242,363,265,003,854,905,882,824,270,243,487,830,716,900,108,208,541,154,
865,498,037,337,048,829,549,948,499,322,253,109,722,738,583,174,534,185,845,
107,469,213,484,115,422,853,877,801,329,992,290,333,378,473,105,575,599,325,
002,362,938,371,340,209,216,893,130,171,836,269,320,816,137,114,975,467,657,
458,294,098,800,799,829,047,891,517,325,541,687,157,027,554,946,478,754,925,
565,224,137,102,810,996,074,649,805,696,222,581,183,981,129,320,416,243,234,
109,310,335,662,503,196,197,735,723,498,833,181,688,340,302,153,605,664,310,
673,427,571,544,587,576,766,708,057,003,833,186,538,000,185,125,252,866,688,
589,491,504,931,013,100,318,191,859,305,555,089,530,925,414,774,133,870,081,
576,122,586,622,997,599,063,652,722,437,393,300,190,434,045,005,455,489,670,
789,301,764,027,629,393,289,045,944,349,235,011,373,133,079,658,765,137,678,
748,900,285,686,871,131,044,147,581,440,427,079,207,608,384,892,543,016,387,
306,869,823,664,393,203,627,335,819,355,879,489,831,505,845,020,637,541,813,
792,426,457,592,123,153,963,893,385,180,864,439,777,890,937,616,933,675,116,
118,066,661,432,166,022,428,115,534,946,561,074,164,382,184,960,582,846,961,
380,180,276,690,052,543,212,238,038,030,210,948,685,888,833,185,308,048,439,
847,255,476,737,240,786,929,093,170,231,866,515,742,125,673,146,625,731,471,
884,551,825,708,029,865,428,030,790,287,594,203,205,972,821,228,550,323,174,
394,872,503,373,656,787,827,665,777,656,703,881,130,803,176,194,345,543,768,
604,978,047,382,978,516,254,067,058,698,717,066,337,314,930,046,984,811,557,
937,901,790,320,937,755,923,524,961,104,796,148,204,481,118,197,905,792,417,
283,079,341,982,476,658,803,661,170,760,957,726,236,207,176,697,163,948,866,
338,972,896,232,119,468,857,974,785,043,872,919,188,490,879,533,018,713,916,
194,393,718,866,884,523,312,882,163,617,239,710,324,083,209,459,405,534,845,
783,626,441,873,324,093,142,001,187,872,652,247,733,089,205,423,082,769,507,
758,139,394,519,608,430,731,205,398,574,596,505,841,836,978,071,231,426,583,
724,075,734,914,277,196,976,833,096,945,211,167,480,963,836,427,364,344,540,
323,202,392,758,561,518,914,533,025,645,339,439,235,554,981,315,440,166,165,
134,939,153,120,882,526,377,893,158,098,210,340,975,931,077,678,926,641,869,
445,498,936,168,272,075,416,343,453,585,784,743,557,776,489,551,317,556,292,
632,671,281,351,234,027,427,310,047,176,585,706,694,570,051,057,491,528,055,
672,695,582,513,122,814,444,024,705,201,522,982,806,960,357,439,763,553,090,
388,767,820,741,361,582,836,133,010,722,392,949,906,400,401,868,132,509,036,
174,582,580,588,226,569,372,311,792,944,491,757,949,709,848,630,364,517,577,
105,054,326,337,503,675,417,268,023,826,039,248,751,721,996,726,616,285,232,
210,332,790,013,745,448,594,980,918,308,174,542,275,339,220,325,415,833,842,
322,042,008,506,718,657,553,190,836,606,886,368,070,148,441,463,489,155,645,
990,587,162,441,718,187,819,047,354,619,129,924,070,738,922,873,633,222,302,
942,834,237,195,572,997,390,454,468,357,531,071,953,152,989,019,627,261,943,
384,566,585,520,617,842,615,954,172,475,442,560,547,491,962,517,032,453,457,
756,054,619,626,909,525,879,879,163,273,613,575,375,805,476,207,310,456,242,
124,461,742,854,327,452,170,182,825,661,011,306,467,098,601,056,352,007,094,
809,683,162,831,173,705,893,228,819,666,821,285,106,926,476,822,929,935,635,
365,114,318,489,155,439,797,447,414,407,724,551,684,725,193,767,229,245,558,
197,351,147,630,345,671,845,774,299,134,406,516,220,807,369,585,615,907,257,
226,448,557,868,453,287,258,208,748,826,605,223,970,804,644,444,944,085,871,
848,735,048,033,428,373,958,181,506,107,866,701,092,012,487,852,945,017,913,
720,715,235,318,703,066,112,666,046,695,508,253,803,329,504,612,959,266,589,
803,089,376,241,461,075,472,263,224,488,107,046,109,827,778,151,739,120,209,
200,819,599,939,308,364,658,987,057,238,998,433,400,787,379,896,829,009,646,
376,065,161,807,754,783,055,918,029,538,076,848,501,867,576,956,235,588,660,
712,604,855,405,891,531,421,821,908,013,288,273,186,752,245,738,983,945,824,
618,809,207,954,358,098,716,560,233,033,655,965,958,039,384,253,530,037,806,
389,122,043,838,582,343,763,458,139,043,288,946,158,197,141,453,443,142,388,
538,138,919,355,995,014,101,249,848,775,871,438,989,581,331,940,811,496,794,
269,043,744,793,831,396,728,910,117,399,589,024,159,684,401,740,122,879,108,
058,490,513,878,058,793,234,618,688,309,800,046,519,831,339,830,373,170,160,
394,595,718,113,126,007,596,337,259,574,491,723,985,319,288,223,959,288,342,
807,372,624,847,590,665,349,078,562,091,394,572,896,474,894,713,451,527,117,
439,526,849,655,752,705,726,060,846,376,129,169,247,091,934,701,039,054,666,
661,365,119,220,508,271,468,173,430,645,367,581,621,935,427,126,509,485,359,
607,241,588,563,550,328,818,393,360,072,424,518,763,497,441,939,160,643,936,
269,253,461,473,630,780,896,298,010,005,969,925,126,766,030,622,598,917,289,
559,591,170,411,941,114,963,238,171,862,071,437,247,606,148,000,060,281,588,
189,774,774,463,472,824,714,037,835,738,526,107,411,750,326,826,993,078,180,
564,657,385,859,326,916,687,916,453,559,200,832,386,171,772,474,767,603,544,
513,898,933,200,766,556,725,085,791,187,713,425,326,753,098,726,450,674,864,
364,944,688,084,649,549,426,730,554,752,537,481,506,638,668,023,553,983,298,
588,285,891,529,512,275,857,132,659,274,330,766,643,162,451,256,688,704,723,
338,030,970,120,910,974,293,119,042,116,618,199,960,838,913,039,260,595,087,
275,993,898,294,093,591,763,319,841,603,179,943,188,869,571,314,613,200,046,
748,296,794,054,735,281,866,855,927,171,856,780,297,170,860,316,707,124,342,
665,784,005,447,637,416,422,321,453,815,358,749,340,207,474,017,699,945,586,
158,724,753,498,027,657,404,827,599,932,588,942,775,739,492,161,425,196,976,
867,658,929,012,569,849,797,742,634,257,605,953,889,785,493,327,152,620,297,
370,720,297,852,137,622,933,171,657,221,953,736,048,999,962,394,518,328,030,
609,409,032,589,211,550,628,216,291,269,518,241,354,286,976,388,672,274,707,
197,075,355,335,957,914,232,183,083,866,226,422,021,492,816,159,536,237,458,
278,399,590,615,725,124,812,549,343,810,639,931,972,020,433,443,337,156,074,
762,499,423,359,875,426,299,028,029,219,934,992,772,691,743,184,408,042,007,
277,396,010,233,573,191,961,304,202,000,850,687,819,238,496,082,228,750,361,
801,955,529,513,019,429,283,644,296,426,864,932,945,888,802,961,371,138,701,
187,833,676,466,280,167,559,802,418,863,434,734,898,028,616,283,802,255,299,
797,901,049,807,885,340,705,860,916,901,619,644,691,700,314,561,247,542,910,
013,133,332,791,294,274,868,207,093,163,211,085,226,090,398,822,911,815,419,
107,104,940,487,239,239,521,958,486,364,389,465,980,895,680,093,776,664,183,
715,041,589,688,693,177,894,136,285,343,090,159,007,106,776,428,276,348,845,
172,200,534,684,990,783,075,804,308,953,881,946,996,815,467,297,751,900,313,
629,781,576,609,167,557,292,546,341,436,627,529,174,051,433,016,445,277,120,
588,786,871,350,019,104,349,898,110,675,649,395,889,497,878,790,716,334,727,
223,689,338,997,371,603,776,149,785,601,949,091,144,093,736,710,842,708,379,
509,771,167,555,317,331,147,768,227,867,732,010,447,773,584,386,118,405,755,
140,334,407,312,101,219,078,255,615,412,156,015,995,060,523,210,468,708,454,
297,406,871,625,643,140,901,827,403,637,494,806,873,246,020,222,546,994,968,
953,966,774,437,921,025,874,738,493,023,770,142,321,130,080,291,375,840,533,
639,614,148,798,421,250,076,622,821,997,506,710,007,554,057,597,380,849,038,
444,466,719,154,442,731,355,353,112,263,482,845,037,088,742,348,264,734,661,
299,089,620,529,763,052,782,302,718,111,197,573,705,329,696,454,836,482,583,
059,845,963,648,940,201,939,588,904,385,411,203,167,958,940,861,429,677,578,
100,290,318,315,116,620,344,321,588,196,634,605,324,895,966,461,954,355,490,
368,904,469,772,367,292,431,140,555,383,552,663,483,340,859,918,636,925,731,
212,446,120,793,306,574,003,855,188,133,368,690,135,062,672,610,237,511,927,
815,711,048,919,884,621,409,192,704,474,771,403,109,181,188,194,523,940,480,
974,690,903,320,203,331,762,514,907,213,757,352,966,869,880,491,054,595,130,
861,143,902,829,579,248,472,435,941,291,003,454,034,651,173,473,371,518,173,
223,708,391,410,001,617,237,506,210,986,347,871,499,039,376,905,403,998,524,
250,098,266,057,143,447,475,509,989,107,204,889,420,763,972,899,123,021,987,
318,806,422,908,628,448,116,349,839,986,881,864,388,568,454,453,584,528,744,
805,235,487,313,421,842,720,897,518,864,108,077,558,276,958,658,468,755,436,
156,254,611,958,021,583,928,649,065,458,675,275,782,949,822,917,366,931,290,
583,140,746,970,735,255,873,874,817,443,028,176,207,623,787,818,056,352,551,
814,243,953,271,633,673,166,177,201,001,737,549,162,225,316,935,823,036,345,
479,180,177,656,909,787,536,701,334,223,389,326,661,232,071,972,883,919,619,
516,936,720,408,213,426,346,633,869,081,697,659,059,361,109,792,216,369,689,
561,427,519,352,334,048,300,392,352,462,669,984,190,118,701,961,035,195,437,
089,886,974,686,181,957,342,412,832,678,962,215,897,829,272,032,663,673,075,
619,705,455,135,632,015,089,748,921,516,437,216,452,671,039,199,847,785,696,
671,298,811,722,509,333,021,546,957,854,394,843,642,831,360,928,891,053,195,
189,103,229,915,232,941,120,349,482,539,504,985,597,172,687,152,283,671,633,
876,110,901,421,641,711,125,664,861,092,483,055,267,228,448,753,058,012,689,
691,440,830,482,155,545,807,614,484,099,162,923,643,738,178,992,271,021,211,
427,002,350,145,519,049,087,795,216,029,401,720,163,742,903,850,432,031,939,
254,317,641,410,347,369,865,560,725,644,717,852,029,552,271,562,296,622,580,
367,256,805,848,674,535,558,699,308,916,643,148,650,807,478,791,229,566,856,
655,718,539,695,230,236,962,655,439,544,375,922,611,821,722,920,600,397,896,
578,502,378,598,965,605,582,324,711,128,878,509,900,289,927,338,204,877,177,
547,023,766,247,760,059,788,169,916,673,270,633,994,458,386,436,792,300,240,
640,542,029,783,200,761,309,754,551,704,990,120,440,789,692,858,162,909,579,
891,713,770,474,521,135,344,979,651,506,818,154,259,896,239,853,088,198,337,
875,064,923,479,316,262,979,971,631,948,271,823,112,780,202,747,329,634,165,
988,273,442,685,465,332,272,086,732,767,190,873,213,105,575,919,837,954,682,
477,448,981,328,518,414,273,183,383,297,293,458,777,918,104,804,241,341,390,
451,086,819,907,378,910,089,804,756,510,998,737,579,986,757,939,404,322,861,
267,583,017,978,791,677,486,517,055,679,123,018,326,143,972,581,974,387,889,
579,762,375,678,446,747,148,288,891,694,539,795,573,746,208,313,917,342,387,
601,102,317,908,240,011,309,989,994,919,391,322,397,114,709,738,042,859,650,
593,485,678,763,639,716,385,169,767,055,306,707,208,230,575,468,955,117,904,
296,694,512,942,606,266,445,754,936,169,764,323,860,964,314,425,044,462,141,
896,677,763,899,512,721,135,914,826,994,893,866,387,362,428,741,601,707,400,
223,895,705,922,876,862,968,364,011,673,656,011,216,281,335,706,411,867,331,
811,129,851,364,766,762,958,807,038,717,314,378,013,633,042,677,818,241,435,
344,167,485,499,622,437,434,467,803,344,291,930,802,164,223,850,716,219,750,
346,136,824,923,331,318,883,572,366,025,944,161,393,333,024,288,673,067,646,
842,823,966,696,514,390,315,258,025,458,617,494,102,132,329,282,628,697,287,
942,792,403,209,661,648,839,344,512,405,757,903,603,587,671,145,406,598,097,
062,177,609,707,563,652,911,008,255,749,686,258,785,610,647,826,187,433,353,
457,543,892,064,539,490,056,426,770,765,096,072,968,757,433,303,222,454,617,
809,108,609,186,349,438,579,014,853,717,315,070,164,893,871,504,447,788,547,
965,947,470,889,734,374,962,753,254,847,519,932,554,831,801,494,095,228,719,
052,616,907,054,327,717,088,733,483,566,057,654,692,834,798,933,361,799,131,
450,763,772,068,607,222,816,723,765,763,412,759,491,372,684,291,906,257,640,
419,762,716,841,372,588,777,591,480,373,804,398,510,709,846,249,348,561,130,
628,798,686,546,304,949,970,709,941,667,939,016,020,746,512,837,930,211,444,
472,671,315,513,334,257,728,866,684,566,130,948,991,165,225,084,610,873,860,
334,328,569,400,124,777,250,673,741,827,843,505,071,655,233,410,919,218,553,
403,882,255,019,360,323,615,569,269,924,071,122,171,209,113,108,657,675,687,
132,594,423,234,584,617,574,422,828,150,130,399,394,855,535,498,254,986,748,
860,107,406,875,935,753,161,444,122,120,935,268,159,722,860,534,814,745,862,
753,654,809,650,353,258,639,147,012,985,192,487,468,582,474,654,181,882,001,
523,709,960,393,355,673,208,991,158,293,279,108,480,853,552,243,002,909,509,
388,306,665,746,152,443,916,139,854,292,671,299,278,677,813,219,060,448,494,
785,789,353,251,323,231,477,587,793,535,210,679,976,773,094,382,817,134,879,
100,453,975,624,879,544,244,340,963,557,124,594,312,310,557,733,472,321,496,
760,946,718,528,397,180,880,749,966,904,976,010,017,103,670,585,265,117,211,
957,866,053,775,328,073,842,487,367,756,593,695,762,128,538,317,588,039,223,
301,075,890,757,435,130,974,835,970,612,457,688,804,138,257,607,788,776,966,
319,443,961,659,641,823,288,512,010,826,999,755,745,238,104,523,504,645,363,
238,264,268,681,567,723,315,333,846,360,071,394,223,600,676,438,651,546,092,
260,304,814,436,586,924,182,054,329,274,022,625,081,134,784,271,297,151,995,
818,867,208,029,051,607,133,986,652,279,373,563,197,021,245,701,762,055,029,
981,340,490,000,423,323,356,396,495,670,417,392,696,691,275,606,628,639,969,
555,328,888,857,881,626,907,862,625,616,598,920,580,594,900,850,852,253,503,
509,068,672,108,693,198,551,685,362,730,380,155,229,144,500,619,709,364,409,
546,557,692,068,261,184,109,469,677,781,366,236,945,098,756,118,128,138,224,
967,851,050,771,750,779,285,977,850,689,161,252,409,869,731,385,485,447,473,
023,047,736,678,892,670,071,855,569,477,153,798,913,392,062,208,442,860,417,
363,092,175,233,005,577,782,509,462,742,815,862,565,587,103,913,293,248,990,
708,716,692,116,695,170,911,853,826,766,218,711,288,469,969,922,862,504,261,
608,625,439,155,062,223,137,516,915,037,538,804,535,621,614,847,431,968,906,
384,369,887,404,525,009,120,372,626,247,743,257,613,817,050,775,739,833,020,
523,399,591,117,202,829,588,366,035,456,910,093,437,256,673,674,428,687,106,
977,114,056,294,402,174,401,093,871,253,026,876,420,689,763,626,568,189,262,
465,050,028,812,301,817,630,142,511,950,961,193,168,424,028,493,423,198,726,
916,532,984,201,266,478,566,102,998,398,976,823,078,380,346,355,015,717,945,
322,909,297,598,401,815,729,404,172,463,524,726,990,762,074,494,118,941,434,
697,610,407,688,768,444,883,996,684,470,181,466,398,943,706,410,464,697,153,
195,400,770,310,661,894,148,103,997,510,135,453,931,782,727,922,770,996,848,
639,445,699,819,054,582,493,303,582,634,885,395,959,353,970,866,283,291,259,
427,304,724,561,108,699,939,088,630,846,001,386,614,145,888,325,455,320,852,
358,671,157,927,786,816,506,198,863,133,707,229,199,864,309,283,560,553,347,
747,654,886,725,128,780,402,564,075,913,638,207,892,660,186,225,297,367,713,
228,747,610,557,303,186,042,108,261,247,919,287,110,933,322,279,931,730,856,
958,935,296,037,461,632,833,421,802,478,331,510,691,195,389,287,123,864,502,
599,116,952,970,426,961,661,388,108,946,311,425,887,828,766,681,851,603,213,
961,124,058,427,804,493,328,287,393,642,864,594,181,161,269,363,122,284,826,
536,134,672,734,711,430,584,501,946,382,775,810,830,773,814,109,984,989,669,
637,051,323,235,489,830,040,777,045,112,975,862,450,503,796,514,332,430,999,
040,900,180,375,990,030,512,407,078,075,362,421,854,363,759,769,083,142,379,
444,598,102,271,086,553,382,002,360,676,876,047,606,749,270,226,184,364,424,
828,016,439,455,239,116,257,961,035,395,070,867,487,207,192,107,044,147,751,
775,527,295,162,437,925,669,415,395,563,269,181,101,048,783,306,293,859,986,
112,520,978,969,595,312,305,435,552,639,055,326,400,010,577,107,085,147,544,
385,411,999,583,873,717,334,212,255,129,709,511,413,447,427,509,985,250,360,
857,500,789,082,185,592,120,179,485,159,093,500,917,784,794,545,853,459,675,
228,494,172,898,606,235,797,632,355,100,872,540,071,710,496,590,290,904,217,
698,286,534,817,859,307,670,596,978,627,747,324,480,053,781,526,833,802,770,
852,528,474,734,470,681,523,952,219,841,559,089,311,003,071,553,591,918,850,
748,925,855,419,730,158,907,376,265,442,345,503,758,536,495,037,152,848,333,
128,614,559,198,392,197,313,570,087,636,600,480,121,405,278,682,374,687,898,
579,007,686,501,505,746,190,885,758,735,059,134,612,848,330,134,088,321,548,
679,877,739,414,570,779,101,588,363,202,896,755,363,365,337,644,226,960,722,
125,797,810,609,562,913,420,472,366,321,840,590,355,626,884,661,495,390,550,
165,080,607,242,040,835,973,278,901,862,944,374,859,503,835,120,142,277,606,
472,142,705,659,583,978,461,981,384,742,895,696,577,676,492,040,063,890,159,
588,512,870,704,296,812,966,990,452,638,527,925,132,189,306,458,079,457,748,
553,344,508,651,197,108,371,790,424,190,127,472,172,074,924,163,936,528,837,
428,901,382,691,056,671,584,657,767,207,499,527,647,876,509,507,209,900,757,
050,031,390,498,144,137,744,833,017,354,744,908,103,876,957,979,081,903,135,
057,008,560,402,602,170,599,138,156,986,173,833,720,444,799,306,816,377,626,
722,228,657,196,940,836,822,033,051,858,359,420,106,404,467,239,561,108,828,
322,839,294,423,209,383,047,153,610,416,808,402,723,493,584,214,345,564,826,
936,325,068,446,822,680,776,002,677,055,861,606,852,670,921,007,193,140,444,
991,443,155,835,064,589,287,892,508,389,516,999,428,202,599,188,219,356,331,
341,846,560,349,567,379,602,588,664,493,921,710,811,978,334,237,792,118,804,
864,539,899,354,925,931,532,198,064,210,451,626,982,038,206,454,748,062,600,
712,079,667,796,616,767,604,137,984,473,846,690,431,259,422,343,978,008,006,
824,099,380,082,709,665,201,621,172,681,386,393,264,774,887,284,569,358,767,
414,612,518,271,657,674,485,541,453,281,911,265,422,441,700,596,952,884,421,
379,995,890,786,473,453,512,351,188,726,070,871,848,632,703,668,835,014,042,
135,294,942,371,852,429,579,479,814,836,982,441,678,548,177,643,075,874,175,
706,385,669,532,159,762,569,816,702,598,381,167,330,001,484,573,556,945,039,
195,227,618,016,218,984,802,500,179,880,996,718,042,235,078,510,270,212,019,
377,510,438,926,514,792,322,671,863,438,429,884,057,737,127,920,086,883,747,
963,715,117,055,269,049,535,538,324,180,464,001,222,755,046,618,588,519,078,
275,982,964,762,897,949,378,275,368,683,473,475,776,371,034,254,771,460,696,
849,608,234,237,243,349,017,041,706,612,371,783,375,791,088,568,402,959,708,
843,596,704,359,840,486,137,917,094,425,169,552,393,165,701,864,267,154,580,
031,530,832,100,553,052,608,385,099,718,554,239,838,856,642,066,069,154,104,
944,451,112,343,931,285,173,096,523,999,536,388,880,957,586,612,196,041,986,
066,990,665,784,734,364,982,747,672,067,224,291,051,826,257,747,091,125,568,
698,284,512,743,266,991,590,721,255,260,831,872,494,172,726,291,243,619,856,
443,778,794,988,109,894,077,481,187,145,915,906,905,100,826,782,789,902,938,
450,849,056,130,535,019,749,205,203,029,233,041,162,367,522,120,353,353,315,
493,613,112,118,781,564,795,643,198,503,200,235,901,612,868,737,286,149,034,
537,286,763,535,619,325,620,901,723,388,552,230,936,450,422,724,748,962,592,
613,333,498,493,231,206,289,073,535,699,782,612,841,985,711,820,027,033,518,
022,276,773,715,805,131,242,698,496,336,556,536,084,416,988,327,530,801,312,
627,776,377,276,905,112,037,553,661,081,777,635,568,666,707,436,636,878,371,
829,736,092,890,194,639,953,657,117,599,525,190,197,714,742,481,435,401,298,
779,188,633,269,820,218,500,577,300,280,354,981,341,052,166,963,666,425,517,
526,121,877,610,819,160,837,189,644,031,135,689,071,098,909,546,497,458,497,
650,877,518,537,023,647,357,880,839,058,298,680,114,217,607,213,011,619,918,
974,817,539,025,188,426,415,302,951,351,264,955,500,703,287,744,448,665,542,
624,419,921,478,820,307,080,633,749,956,155,084,770,175,299,402,892,886,075,
543,665,000,839,298,507,858,745,757,174,526,360,939,018,041,148,577,171,184,
004,950,026,304,332,969,921,453,451,842,720,275,194,169,034,757,510,327,642,
974,429,486,992,047,249,020,868,353,941,758,633,998,796,806,104,849,903,426,
411,978,174,860,642,147,135,982,486,959,365,880,630,598,371,958,607,103,451,
541,808,611,977,804,743,560,961,744,527,116,598,016,349,262,405,140,491,915,
924,404,941,306,287,929,649,162,157,678,134,414,306,444,663,180,360,404,981,
822,905,529,372,863,882,050,946,043,155,060,972,824,884,381,750,841,428,784,
073,350,893,694,960,609,332,102,268,275,942,304,346,377,837,543,628,556,002,
854,198,736,523,068,653,728,966,471,197,754,193,775,395,535,554,585,753,217,
421,571,365,533,804,978,574,796,595,421,884,456,186,457,041,978,026,684,664,
557,755,659,783,561,709,369,790,416,778,749,813,637,971,127,865,935,349,324,
647,652,762,690,729,580,334,086,024,326,582,305,758,407,226,181,086,381,917,
247,906,392,130,750,683,153,108,304,700,726,217,656,635,050,290,471,747,409,
997,182,085,216,151,347,549,543,812,469,189,953,651,147,276,168,008,715,265,
252,247,469,166,187,136,232,683,182,129,198,759,758,051,737,335,125,536,691,
400,735,719,655,814,510,235,930,431,194,322,764,240,437,765,570,679,294,774,
451,727,464,482,359,698,649,113,889,766,481,431,692,069,680,057,690,442,056,
516,964,862,442,201,045,439,820,359,219,275,245,064,399,475,194,203,880,003,
799,990,513,104,961,275,853,128,878,905,370,863,157,873,761,715,817,667,892,
067,983,632,235,749,405,058,256,078,803,627,945,114,097,367,039,993,792,566,
766,990,800,895,539,724,992,635,678,191,840,987,123,252,978,244,609,129,792,
901,593,123,854,261,693,268,204,745,995,827,122,130,491,468,860,745,148,235,
947,830,344,788,360,896,800,009,805,360,673,888,503,307,491,875,479,608,007,
798,957,132,016,387,593,931,218,147,400,497,659,014,406,437,157,222,030,994,
098,051,670,325,038,695,297,494,573,071,924,707,570,908,882,666,570,105,881,
921,592,584,244,903,480,262,550,293,384,543,013,674,436,970,509,850,690,924,
032,977,880,822,515,764,202,485,994,733,080,400,955,678,189,382,931,353,194,
085,901,664,578,086,686,569,767,234,166,019,928,921,992,966,112,628,407,042,
835,123,176,490,834,523,708,614,558,299,188,450,548,201,164,714,454,217,221,
926,723,256,025,508,152,373,217,773,670,991,598,645,621,479,849,663,924,718,
687,243,475,564,733,140,382,117,136,849,513,570,051,534,404,084,750,738,647,
487,819,068,837,241,716,261,733,034,961,553,766,256,450,474,629,207,444,504,
861,780,157,512,712,733,587,126,810,529,158,362,768,035,977,930,840,929,257,
808,616,941,310,145,457,408,624,810,554,674,287,088,825,091,579,694,170,852,
278,535,777,078,291,308,314,494,332,424,709,182,668,175,014,609,262,956,085,
612,932,865,349,887,686,696,492,112,979,465,678,042,943,976,762,770,197,624,
878,106,977,250,655,357,752,983,608,638,087,038,463,007,013,647,673,556,711,
821,734,076,094,421,135,009,053,009,833,754,909,467,792,322,755,814,978,539,
859,679,880,900,116,794,963,739,957,984,926,534,396,671,569,182,513,388,440,
702,867,316,730,393,072,929,635,766,219,723,553,301,552,822,776,816,793,814,
060,744,481,772,336,699,833,289,857,252,655,969,212,566,074,917,397,562,252,
527,095,740,778,739,249,615,312,582,033,256,138,810,298,889,551,281,075,364,
598,271,930,919,620,316,829,298,064,795,867,796,723,876,927,139,152,059,187,
374,873,919,717,454,936,963,911,100,698,947,471,606,269,559,247,104,586,897,
131,669,138,141,802,546,360,321,102,758,508,624,994,135,946,182,028,763,503,
786,571,729,279,137,730,133,498,613,692,446,311,905,516,070,385,916,691,482,
446,884,284,539,989,977,932,028,712,864,835,877,273,056,980,527,395,829,870,
864,973,977,571,301,501,561,310,689,203,672,373,916,159,586,760,910,211,505,
474,847,963,945,447,725,974,698,593,325,546,366,860,105,055,440,519,825,236,
674,201,257,013,821,321,677,432,952,437,569,914,479,170,783,048,896,381,941,
138,200,474,541,619,935,007,627,063,707,853,765,557,264,378,522,932,336,775,
474,169,908,858,725,841,489,719,195,211,553,220,511,371,074,142,882,934,450,
186,869,610,911,919,604,410,850,190,198,456,316,539,922,906,075,941,265,706,
292,396,777,806,654,456,581,754,206,491,321,825,598,274,348,505,544,854,772,
412,775,557,332,846,364,928,279,237,563,276,292,335,977,037,313,687,581,341,
501,886,896,416,772,454,898,394,570,169,711,161,108,612,953,356,625,488,097,
882,258,233,534,469,907,089,980,243,820,906,495,055,936,867,630,046,035,065,
212,352,544,572,308,086,123,739,443,258,716,837,342,096,171,262,756,790,553,
648,766,878,721,346,481,797,097,260,573,909,335,494,087,411,921,425,550,800,
326,726,694,192,106,344,395,468,449,778,808,047,629,150,344,255,715,063,807,
943,096,064,848,263,063,128,122,082,310,532,440,488,205,741,096,611,117,091,
436,972,066,505,695,492,300,453,401,056,445,768,579,316,254,377,904,541,021,
168,878,458,785,342,266,219,315,089,923,832,929,846,631,440,394,065,965,337,
412,019,119,969,520,529,110,200,678,838,306,210,687,837,226,088,318,369,885,
350,113,465,743,712,626,333,726,085,990,528,895,982,627,880,854,408,173,485,
771,898,794,453,301,965,547,086,157,254,302,924,115,243,999,138,890,503,282,
723,759,074,468,168,597,689,174,780,920,869,416,748,858,265,615,588,763,117,
294,084,358,564,237,825,635,275,902,644,374,649,420,065,337,899,066,629,293,
998,726,477,068,489,621,263,049,766,668,444,449,781,108,983,800,778,461,977,
933,460,282,772,027,657,167,720,403,063,634,214,649,059,299,988,350,747,533,
795,381,781,418,167,231,267,160,589,395,769,516,211,031,436,661,902,641,473,
946,293,524,634,366,276,335,686,324,246,029,304,240,704,680,354,876,719,616,
194,432,509,438,087,759,083,240,518,381,718,222,508,108,234,882,885,125,754,
842,791,756,097,104,818,649,801,890,580,695,443,564,820,595,530,115,659,948,
165,933,214,734,108,124,760,147,589,800,000,066,843,074,734,266,253,065,257,
505,395,942,399,653,779,992,341,341,208,154,278,426,870,708,358,828,638,561,
213,597,969,402,187,996,337,693,713,712,710,019,177,735,000,916,550,365,076,
279,837,672,465,896,286,281,088,631,391,893,622,268,245,279,783,349,440,254,
025,175,371,285,668,799,431,134,640,897,799,130,669,013,359,778,029,810,424,
041,098,281,213,106,238,136,046,198,474,038,456,709,025,230,940,267,169,034,
908,256,711,542,604,707,068,900,425,709,911,269,210,222,754,215,363,565,921,
921,272,522,818,572,428,282,900,757,212,669,956,155,908,498,150,570,340,475,
772,963,090,725,884,690,269,295,407,147,393,599,435,266,933,697,107,035,439,
914,178,028,644,178,609,426,900,892,552,405,463,371,408,464,702,742,767,245,
760,391,870,240,767,881,387,378,056,625,843,465,263,841,720,438,674,680,482,
719,872,762,907,995,003,789,874,151,599,132,418,938,179,140,389,327,179,854,
441,420,007,292,833,939,715,156,079,395,107,998,342,588,754,337,470,346,307,
954,912,227,290,795,433,984,936,277,013,230,071,439,152,050,042,721,801,824,
105,180,121,988,333,893,348,012,266,986,136,142,165,060,759,618,837,643,399,
413,128,789,453,451,416,804,336,001,304,833,835,482,154,700,827,671,100,278,
496,952,749,932,780,584,843,980,330,756,601,817,976,357,962,503,435,409,910,
401,793,736,618,078,336,365,466,707,677,725,199,172,461,833,107,108,906,571,
558,481,810,230,503,780,307,890,440,623,071,250,069,370,388,980,579,966,599,
313,812,476,158,797,966,562,762,468,727,670,372,494,703,271,337,240,130,883,
907,887,626,363,667,629,517,174,239,948,467,821,529,080,074,492,590,897,914,
174,918,255,925,999,508,042,064,572,673,532,955,008,321,461,844,820,934,317,
125,229,596,065,822,846,842,295,626,259,703,895,426,311,630,434,297,309,934,
513,008,616,781,847,742,394,452,259,057,530,964,987,482,787,131,741,375,644,
353,800,878,566,817,950,685,839,571,803,133,055,846,330,159,499,950,063,935,
734,013,518,512,158,434,596,228,893,721,705,912,644,382,496,028,753,972,465,
209,464,675,383,969,546,005,742,537,700,194,670,935,540,504,609,023,547,604,
051,064,539,874,920,422,646,150,600,673,523,959,059,005,021,064,411,642,289,
015,836,086,243,601,146,895,958,135,530,624,803,184,435,408,467,278,995,390,
064,804,760,548,997,464,920,586,019,917,805,957,678,609,985,057,874,183,394,
539,918,401,629,348,737,829,656,747,851,044,528,658,298,902,408,964,515,626,
615,343,091,720,378,843,234,372,865,768,034,997,496,936,964,114,079,536,235,
303,398,600,115,550,520,483,698,618,213,642,600,291,087,330,115,115,155,700,
097,750,855,117,356,100,720,369,994,595,554,728,970,573,377,900,510,466,153,
569,800,338,625,261,139,033,769,862,934,326,183,760,147,805,735,408,729,759,
728,637,330,454,915,264,411,054,430,171,184,955,203,311,990,259,530,888,652,
111,839,716,698,448,102,845,352,267,365,229,740,610,174,496,061,005,029,702,
282,958,916,358,763,690,705,777,343,070,126,700,587,680,731,030,838,232,345,
897,262,321,230,625,679,041,957,909,509,059,365,339,023,364,691,901,646,734,
611,953,000,010,891,056,001,375,458,222,481,057,308,977,863,046,081,961,468,
535,005,890,473,059,793,218,298,598,433,978,074,363,386,457,243,620,298,738,
166,596,702,303,654,445,180,092,712,478,419,582,015,800,732,306,620,143,536,
618,881,387,471,204,186,824,949,020,396,139,402,314,448,047,963,088,138,113,
568,992,694,517,270,710,681,901,861,106,603,793,505,545,301,954,829,237,144,
250,779,668,860,667,166,173,399,720,369,255,494,533,113,764,436,759,217,373,
749,840,383,292,066,091,488,058,121,903,702,327,069,812,351,526,222,959,774,
985,526,093,105,829,441,781,506,569,143,769,929,991,369,908,214,080,194,849,
447,437,808,222,854,848,320,586,046,343,694,546,496,691,312,297,510,055,339,
807,563,914,367,127,172,401,392,731,276,463,816,784,263,610,047,216,436,895,
293,016,883,852,723,082,763,451,206,061,235,170,817,448,700,641,191,456,410,
663,758,907,174,929,897,346,500,720,970,395,067,475,139,124,906,649,697,602,
283,840,325,652,771,938,209,069,576,195,629,054,378,655,767,182,964,968,120,
990,779,827,468,960,449,858,816,464,066,650,589,688,340,174,027,711,464,325,
831,830,268,350,537,488,811,564,239,211,109,423,827,089,210,327,096,308,850,
409,204,867,870,960,489,298,000,776,176,374,570,684,304,512,921,958,783,359,
095,437,466,757,543,325,604,463,523,542,460,660,455,960,956,201,036,489,068,
338,017,368,391,008,041,931,156,004,449,756,942,980,044,986,463,233,860,669,
527,089,074,940,909,738,882,566,419,984,847,645,249,476,343,654,214,967,583,
020,683,480,913,249,751,741,986,498,151,303,419,549,246,648,690,409,145,971,
921,700,025,461,324,372,534,140,787,717,986,324,473,770,575,645,147,141,906,
462,818,853,846,373,703,062,210,579,457,742,482,366,837,921,009,315,060,264,
031,585,376,187,652,234,416,973,980,935,259,649,039,902,136,363,008,629,743,
137,836,807,258,109,464,707,365,796,688,206,416,198,646,714,180,192,194,896,
374,274,033,150,794,915,488,044,407,198,564,567,471,445,692,768,042,428,046,
254,707,753,028,881,952,153,583,510,735,988,169,686,109,376,717,186,984,888,
707,032,287,988,802,718,855,142,059,891,337,812,440,052,337,486,157,600,082,
777,520,382,196,077,856,013,921,632,397,228,598,016,701,774,803,610,493,552,
798,382,926,101,105,872,947,661,780,402,556,928,825,082,319,973,446,507,315,
412,781,120,854,127,251,103,197,501,728,340,220,339,953,563,188,903,944,753,
986,265,757,727,260,211,367,202,429,087,977,227,711,827,701,020,249,992,477,
097,362,492,243,831,876,561,742,609,956,246,315,585,695,936,275,906,687,652,
358,756,805,403,182,614,166,728,377,752,331,605,266,035,432,719,496,554,316,
793,542,361,025,719,449,019,547,818,493,424,932,535,155,640,383,746,017,687,
554,358,121,922,473,854,671,291,055,321,745,606,151,630,951,996,254,278,712,
283,721,185,242,700,264,114,025,104,011,622,093,255,841,695,774,720,458,500,
579,650,252,665,156,867,733,679,083,931,018,992,316,985,200,956,290,004,195,
063,128,184,283,413,440,415,603,604,063,001,623,810,614,911,321,806,353,859,
862,527,917,551,844,564,270,283,105,451,882,668,494,072,245,148,097,377,169,
962,428,691,197,145,337,489,402,985,790,152,759,664,331,320,782,419,025,776,
047,178,799,185,633,598,448,915,639,608,756,744,924,695,253,645,578,492,104,
550,712,470,531,225,649,296,496,432,057,766,213,390,419,387,609,421,460,818,
817,454,773,576,345,349,402,470,766,112,384,642,697,757,997,040,397,640,230,
234,869,847,598,351,208,233,142,289,358,559,963,427,769,312,489,690,645,838,
663,333,493,200,837,144,970,940,102,026,048,989,328,788,571,455,209,762,189,
332,528,233,550,945,332,119,627,521,755,034,374,138,058,395,293,876,993,621,
315,121,820,417,759,470,557,698,273,715,998,483,177,854,395,506,466,478,173,
530,070,844,914,802,169,818,494,496,113,832,413,050,053,706,172,803,721,906,
018,066,467,237,292,103,506,578,491,568,891,599,125,257,721,095,808,389,378,
904,884,562,850,851,848,361,828,440,961,473,724,335,495,316,026,025,127,601,
353,827,242,062,443,735,640,295,129,479,714,778,555,029,852,477,948,252,538,
667,826,604,813,348,037,076,477,091,400,425,955,139,108,203,020,636,334,818,
249,624,211,125,281,299,086,931,636,022,878,089,078,051,674,282,003,087,020,
079,942,214,670,632,797,326,757,834,553,055,203,634,369,713,478,474,377,440,
008,647,761,231,574,945,457,174,681,225,160,412,955,107,689,682,930,784,169,
599,744,584,983,506,975,995,158,663,891,918,841,879,340,123,125,403,022,967,
777,208,210,013,258,479,415,477,125,541,196,568,775,767,510,735,858,782,233,
199,706,706,777,642,257,730,354,521,864,619,903,815,318,723,110,568,376,547,
353,715,542,448,826,856,665,313,645,101,824,787,697,579,853,365,073,931,116,
118,330,073,781,780,456,133,676,823,347,986,769,253,096,895,946,929,340,358,
554,162,788,604,097,641,076,722,215,725,796,575,196,663,084,307,538,392,840,
247,081,984,366,256,246,006,706,495,357,286,009,517,616,901,078,714,946,732,
704,625,236,281,544,173,992,544,165,701,335,943,656,740,697,710,688,398,326,
718,112,319,849,470,953,850,686,974,448,312,753,418,408,731,258,666,173,531,
114,032,720,251,347,790,587,444,788,489,395,620,181,968,434,853,051,112,464,
437,124,953,800,913,215,811,476,615,192,279,564,146,797,103,611,842,722,419,
661,910,617,875,780,952,614,407,766,905,236,947,119,591,950,975,452,692,272,
545,807,688,626,224,992,204,402,149,448,217,253,138,060,182,791,050,315,672,
040,286,990,530,785,502,120,640,878,738,755,601,889,115,833,198,543,335,756,
415,217,846,281,985,433,551,885,821,900,690,968,139,104,697,219,652,603,008,
841,753,177,128,895,527,957,891,394,702,535,183,207,095,688,417,025,837,339,
918,807,635,533,083,451,474,852,542,340,398,627,205,831,484,389,738,789,164,
769,009,513,491,951,227,929,998,353,665,695,129,070,337,704,717,258,151,694,
865,904,251,229,115,014,810,915,503,441,900,255,174,167,941,698,989,541,670,
901,191,511,016,515,758,049,561,448,992,557,428,421,001,495,148,953,207,365,
714,487,790,539,998,037,210,025,624,902,415,568,774,274,657,375,345,854,526,
655,500,805,271,152,847,027,715,326,112,498,205,336,244,899,515,443,145,582,
409,140,853,421,619,262,732,852,254,573,434,256,643,482,767,656,030,433,140,
599,475,299,251,815,982,848,112,815,387,818,418,782,152,574,969,586,029,593,
027,972,069,272,185,736,195,582,671,060,485,912,596,653,680,004,756,706,848,
908,332,961,750,967,248,155,055,587,036,541,261,649,827,936,238,324,728,208,
239,731,695,616,012,416,342,785,227,325,359,351,909,120,513,163,872,635,763,
410,688,990,202,500,357,033,991,201,628,991,115,921,418,400,499,147,891,152,
851,191,413,139,741,356,625,254,438,341,250,671,638,282,539,137,872,497,837,
838,578,754,972,142,920,299,320,313,027,815,534,396,950,167,668,189,196,441,
892,448,364,125,968,920,181,462,308,077,695,154,506,400,099,241,359,811,874,
569,164,616,599,059,865,677,621,705,116,690,297,182,934,323,133,747,581,558,
893,127,488,940,379,222,414,934,695,411,609,449,634,574,200,347,230,354,807,
403,720,743,767,877,089,243,876,993,988,559,216,358,115,574,746,181,943,099,
831,551,409,317,376,142,231,398,053,957,634,276,483,065,200,452,890,882,782,
095,714,546,260,732,874,101,336,762,449,181,062,555,296,822,086,890,349,040,
141,074,437,445,462,894,884,352,931,049,609,543,619,388,267,202,961,888,672,
433,975,116,373,613,157,305,233,740,680,155,183,723,001,389,253,924,217,699,
942,949,011,808,653,415,674,823,337,631,036,083,339,679,991,081,015,478,207,
263,516,342,424,319,870,330,104,487,292,276,307,780,989,450,685,993,939,248,
564,714,530,527,575,683,871,889,593,590,477,795,802,138,840,991,414,989,477,
236,490,283,444,825,897,892,628,031,535,489,257,599,354,878,074,157,526,935,
119,408,189,862,054,173,274,192,454,640,188,090,590,794,738,490,723,431,147,
875,010,195,232,928,359,711,477,494,757,790,411,802,835,539,035,832,331,639,
760,675,045,998,319,446,715,192,645,212,099,300,059,200,501,997,090,921,839,
011,323,764,978,176,605,698,209,686,243,749,302,674,930,012,424,223,396,054,
918,695,226,087,467,993,574,711,565,837,154,607,674,651,312,678,990,189,845,
594,429,861,522,546,395,030,594,742,794,782,308,037,998,336,300,467,858,532,
591,052,236,624,680,622,885,190,682,960,999,060,969,503,988,430,559,528,093,
826,830,790,597,824,627,620,019,430,955,590,454,039,961,077,904,182,885,900,
974,124,525,622,727,019,566,859,596,991,743,598,264,614,873,683,914,189,175,
261,771,833,806,864,147,741,526,214,757,410,104,531,527,745,993,464,125,639,
277,296,432,039,549,106,260,972,146,940,985,562,057,010,446,013,239,734,718,
987,884,429,496,646,518,409,538,046,968,566,831,311,166,582,427,457,612,982,
274,842,349,308,138,416,424,713,135,387,229,459,976,961,717,356,893,440,743,
349,006,186,601,668,984,847,662,051,277,918,409,490,616,525,474,900,769,199,
480,797,992,312,253,625,921,700,792,534,300,619,914,687,078,554,925,585,816,
733,895,043,929,001,465,007,086,167,734,500,597,782,961,083,110,397,422,367,
768,195,871,535,787,032,283,279,620,711,636,111,711,338,747,785,545,815,123,
010,241,489,291,316,984,896,510,402,032,531,250,494,919,502,175,495,280,001,
265,533,002,068,083,241,276,617,340,085,833,373,810,333,889,549,613,320,681,
707,582,712,809,381,574,017,490,172,998,876,621,095,180,926,933,174,943,503,
209,021,968,052,136,077,796,366,261,931,735,869,048,190,701,186,070,739,539,
539,156,484,502,184,369,521,420,063,231,081,918,023,260,581,858,894,428,526,
057,876,058,508,070,267,882,263,286,688,915,500,970,087,168,649,777,755,201,
371,841,196,025,486,580,986,199,413,106,426,023,958,101,798,589,474,240,725,
363,943,243,615,867,703,377,270,894,320,702,132,641,731,393,210,845,210,613,
940,953,435,848,031,932,537,949,092,098,854,174,959,867,000,658,810,135,312,
279,803,350,221,121,928,244,387,935,472,333,823,044,302,668,106,270,501,712,
536,854,738,727,774,911,662,291,996,988,604,114,181,020,451,078,581,903,260,
393,295,333,484,250,288,916,775,164,112,803,429,164,555,954,367,984,336,904,
806,494,109,262,051,422,413,902,500,655,275,266,178,870,380,120,577,922,011,
129,809,849,113,465,378,492,673,214,634,238,988,689,274,493,974,420,037,996,
508,693,288,361,452,031,070,038,649,392,066,980,947,914,718,518,294,166,351,
720,750,605,317,960,898,411,766,247,857,250,058,095,832,312,863,945,400,568,
694,884,891,096,873,100,246,598,075,388,529,967,491,998,422,091,447,470,200,
220,297,097,842,324,198,098,837,637,206,857,754,065,090,942,508,649,327,188,
252,363,355,576,933,069,740,734,894,200,551,744,122,727,469,402,875,688,328,
524,893,825,011,178,536,171,310,725,259,091,722,647,870,130,234,552,847,515,
851,708,545,095,135,492,785,136,415,545,954,577,017,016,791,143,017,682,964,
759,675,672,670,898,378,120,523,752,915,218,009,712,305,912,749,594,066,142,
725,685,758,796,004,947,647,811,489,284,509,029,467,121,150,812,400,219,903,
498,034,517,485,825,285,203,557,487,942,602,732,241,468,136,690,750,513,764,
784,855,911,856,681,522,056,612,700,784,212,381,887,561,966,245,611,048,704,
044,741,700,563,278,345,652,574,727,050,558,742,629,672,105,663,904,686,578,
652,442,518,962,066,935,865,719,620,383,491,054,973,162,653,296,708,273,954,
751,664,213,643,952,106,453,281,939,508,619,180,283,254,819,939,260,454,869,
034,491,320,670,005,214,945,705,745,853,428,293,971,169,040,723,738,221,773,
918,723,067,556,356,344,039,459,725,980,376,235,991,661,856,631,701,681,103,
489,998,534,289,828,918,727,901,152,954,864,221,194,059,821,929,237,622,152,
681,653,730,639,677,415,461,753,878,387,363,988,855,358,210,838,307,681,260,
452,801,411,840,313,093,119,232,397,886,165,797,421,675,981,879,040,354,062,
993,562,486,000,643,618,330,476,278,375,093,709,485,773,840,400,154,320,589,
146,599,502,483,261,444,991,759,542,534,716,100,369,329,938,378,019,503,002,
771,853,915,932,911,053,873,213,888,149,972,689,086,263,870,411,027,366,631,
939,070,555,824,335,472,884,781,892,322,852,039,646,675,026,083,123,107,081,
261,775,366,640,405,215,469,040,330,446,548,613,989,715,901,423,923,629,153,
714,895,898,343,760,909,946,624,363,084,960,965,619,081,293,491,455,866,074,
443,190,284,973,650,988,679,310,800,551,598,404,209,617,591,101,578,873,757,
618,145,419,314,025,593,991,886,335,802,499,016,689,756,484,692,204,905,673,
771,501,318,907,858,918,792,801,896,680,025,121,775,491,678,738,423,479,945,
466,274,345,087,299,565,093,201,675,331,285,818,020,577,058,125,902,361,992,
837,819,880,100,747,941,740,279,919,580,629,440,439,682,034,533,598,519,796,
473,509,120,979,269,947,407,760,120,812,719,428,199,483,083,465,412,281,546,
070,048,084,492,794,929,109,540,749,714,904,907,594,133,250,976,113,764,567,
301,359,004,989,164,491,596,936,652,842,642,362,786,612,480,978,700,680,542,
510,719,331,363,837,043,831,889,809,581,084,673,084,395,349,576,688,358,842,
832,731,916,946,004,149,959,719,531,078,618,696,622,960,972,661,568,548,249,
199,758,574,213,000,970,940,186,774,329,908,139,225,284,534,844,495,398,900,
798,954,863,636,373,380,555,769,813,409,641,871,783,443,807,858,425,519,558,
417,913,474,152,659,501,731,375,479,522,148,776,920,709,440,481,005,420,366,
489,354,138,901,569,419,844,254,415,939,564,245,428,668,767,910,580,320,670,
714,834,088,522,166,894,014,392,436,104,498,979,052,047,359,095,227,381,976,
735,767,992,118,015,301,314,264,138,220,621,643,580,096,483,968,492,316,947,
987,755,868,823,018,054,603,627,252,216,620,956,007,035,582,947,855,169,351,
004,749,951,970,869,919,334,090,279,267,019,180,367,965,142,935,626,912,087,
704,478,078,885,586,590,473,494,354,586,156,180,707,919,055,892,715,446,383,
082,548,717,144,242,018,531,783,762,847,755,695,404,482,238,845,984,056,374,
531,109,635,115,336,683,551,002,986,102,320,833,021,938,629,263,032,967,623,
969,187,661,113,162,119,329,664,379,862,096,717,849,432,935,483,191,033,456,
309,908,622,066,793,945,016,684,650,973,588,648,703,193,960,049,835,078,860,
576,143,776,741,505,350,019,282,098,343,172,893,156,643,100,819,534,428,724,
167,077,459,084,651,817,759,604,393,056,488,508,615,588,101,469,468,714,858,
345,672,297,598,398,800,826,533,318,536,864,045,716,681,384,014,705,970,541,
589,192,805,776,984,572,221,333,506,778,433,378,629,604,973,563,960,394,949,
208,171,516,464,174,202,160,106,521,779,359,190,562,587,338,546,590,360,383,
980,120,868,958,746,419,655,445,111,469,586,563,699,907,001,323,433,804,409,
958,472,769,892,322,737,357,728,843,262,299,240,342,750,961,718,338,783,282,
032,453,838,578,192,138,240,257,276,434,743,105,921,805,452,359,550,634,021,
972,533,125,951,273,849,655,561,919,666,057,677,944,613,182,735,412,506,366,
499,141,881,455,733,083,784,893,186,117,506,009,633,197,651,112,180,166,113,
184,288,064,440,804,192,572,256,866,534,238,209,801,467,170,277,182,720,536,
446,385,661,925,647,855,788,215,417,219,481,405,698,363,304,906,460,193,654,
342,796,678,502,082,178,395,068,116,888,591,280,104,027,422,878,831,738,927,
122,401,118,805,335,047,573,666,323,784,724,721,074,097,839,717,876,758,470,
526,588,949,244,482,354,875,616,081,596,436,249,050,789,352,276,905,303,923,
124,539,937,698,808,598,665,258,756,741,736,085,841,489,719,009,918,913,535,
561,803,491,608,249,401,820,246,787,769,100,464,004,615,899,510,350,908,237,
412,575,011,725,512,736,019,623,335,279,417,828,594,867,041,620,078,046,779,
421,577,670,978,418,433,494,790,037,840,706,805,895,042,576,851,478,363,023,
552,062,974,505,466,060,274,669,826,355,390,317,139,247,944,325,869,500,385,
074,547,382,351,170,782,907,642,173,710,063,163,897,410,403,419,894,965,599,
740,857,901,169,401,970,450,397,096,667,996,666,754,500,904,380,194,772,555,
910,878,846,839,680,325,006,900,357,159,679,990,363,685,955,585,214,176,373,
101,873,039,199,008,724,883,021,485,078,500,502,632,339,146,862,804,885,708,
879,593,624,117,612,728,593,783,139,253,125,713,430,813,175,839,505,661,927,
236,702,207,324,433,048,836,671,810,676,325,566,201,453,309,321,299,945,170,
431,437,208,519,341,516,939,809,365,129,847,498,564,740,949,350,607,182,500,
718,231,824,263,206,877,613,589,750,299,573,307,109,958,839,590,012,179,176,
447,811,899,202,832,129,830,931,242,764,089,602,519,482,972,549,139,134,795,
237,484,693,029,704,910,584,358,891,707,594,450,483,182,041,717,388,662,757,
049,634,811,879,776,800,373,831,953,252,943,851,507,888,867,707,341,095,749,
483,384,463,840,894,207,136,880,385,189,100,815,120,044,488,719,569,214,408,
398,738,977,274,924,874,265,694,250,642,264,339,353,990,199,323,914,682,955,
614,509,993,908,216,956,268,303,590,189,608,071,405,743,047,745,269,300,922,
917,088,547,449,916,129,385,173,525,488,080,254,184,094,671,369,669,639,388,
934,531,449,203,703,220,016,186,657,720,134,580,369,518,482,841,597,049,069,
958,309,446,210,103,773,512,825,537,126,403,744,627,424,494,440,032,643,100,
684,642,211,805,389,234,123,787,078,323,242,409,525,711,345,923,880,363,094,
260,911,492,031,266,670,848,079,591,170,776,325,331,218,432,348,642,328,516,
235,544,688,829,277,143,801,433,906,829,859,826,413,729,914,044,158,537,102,
582,090,875,055,556,973,970,934,436,097,310,108,437,949,072,306,496,835,112,
653,623,486,439,603,155,509,245,027,026,915,048,696,419,434,298,528,487,244,
252,957,821,792,013,324,937,335,615,052,055,722,015,609,939,200,770,090,216,
484,561,120,571,373,804,664,681,627,707,879,333,521,787,861,858,654,295,754,
945,835,659,327,296,634,917,603,844,303,074,435,627,760,116,700,557,735,744,
893,047,678,595,493,480,946,089,368,144,780,771,729,182,847,291,104,124,347,
172,926,060,601,273,200,611,042,399,934,724,294,419,384,670,709,128,288,663,
350,296,454,032,041,254,242,307,702,755,432,024,819,019,819,062,468,696,339,
790,867,041,583,258,533,259,614,639,591,465,686,949,764,780,845,047,220,374,
154,222,685,309,819,761,572,734,242,983,034,193,510,530,215,491,981,441,983,
613,275,013,417,660,194,057,517,733,580,527,842,860,242,937,301,729,544,568,
403,884,423,742,811,380,268,502,727,677,149,151,547,933,508,555,023,047,745,
551,488,281,606,110,944,067,586,008,343,154,578,433,283,877,910,501,585,359,
975,315,688,502,289,269,284,675,793,496,912,925,739,248,582,338,738,477,561,
155,460,524,452,989,912,388,526,856,603,335,390,333,590,041,163,255,854,290,
156,137,942,969,814,424,812,902,959,048,967,465,021,479,654,698,360,537,889,
940,912,849,746,139,872,386,641,908,651,911,191,612,608,090,596,252,904,084,
958,536,395,278,432,316,994,944,330,588,613,057,110,860,208,360,080,998,641,
822,546,790,171,976,158,273,896,727,932,995,929,227,652,470,717,487,490,781,
562,513,211,767,930,172,359,626,272,034,706,110,591,096,333,401,668,546,630,
172,773,984,056,827,490,767,434,022,673,328,036,328,059,930,526,878,419,800,
795,639,764,880,405,636,123,012,464,787,948,326,340,987,340,967,524,498,685,
259,675,868,838,919,792,085,355,309,475,566,352,201,223,855,795,017,381,470,
515,613,489,941,311,602,611,632,112,176,640,742,371,866,117,248,637,356,686,
140,178,634,784,959,477,275,344,183,358,275,531,341,659,532,062,464,596,298,
875,253,450,129,493,583,818,877,392,513,192,005,833,250,142,099,124,853,321,
018,644,755,347,665,309,578,031,184,343,833,590,148,086,062,854,164,707,461,
890,008,993,498,370,335,415,514,886,115,250,875,094,174,407,764,057,698,136,
349,349,784,860,543,961,915,698,866,129,388,361,902,577,973,401,827,459,921,
655,642,976,546,356,569,822,652,510,768,974,603,959,149,927,834,378,345,111,
657,658,393,446,899,752,360,190,361,858,345,668,464,038,065,721,443,513,824,
554,800,442,201,917,715,504,858,094,097,759,151,228,409,963,656,425,383,532,
610,161,895,691,700,472,048,605,989,051,251,927,614,326,460,713,950,569,174,
393,972,223,804,765,672,201,492,580,140,461,743,863,065,583,993,990,654,763,
658,265,362,035,157,856,628,704,598,405,063,311,073,777,235,726,899,597,320,
339,206,731,554,396,444,035,005,320,315,812,675,224,889,046,495,154,273,435,
506,138,714,029,369,586,582,241,302,718,195,090,383,974,407,144,982,935,195,
391,083,495,111,574,621,427,470,136,672,196,699,956,623,004,837,987,275,112,
508,037,088,482,325,578,784,476,329,282,799,833,405,167,654,935,436,067,902,
382,472,897,292,421,060,224,022,452,262,265,313,756,200,468,386,856,828,404,
890,508,744,235,423,110,463,193,022,193,696,178,218,498,602,959,680,576,190,
032,309,184,569,750,456,361,890,366,035,888,999,682,232,438,666,308,483,503,
538,129,685,334,617,303,280,832,437,983,017,084,768,675,558,994,282,087,965,
338,245,079,622,024,378,975,855,221,519,877,258,214,265,018,584,577,391,453,
244,949,659,796,611,078,476,708,428,371,823,306,102,984,499,068,200,885,575,
787,682,961,097,066,763,007,568,640,276,161,293,733,250,296,102,088,408,781,
442,097,358,601,688,353,436,033,328,773,044,733,027,129,581,516,147,884,241,
449,052,243,817,377,186,111,351,630,364,788,507,211,604,668,856,495,138,336,
731,774,860,937,494,048,283,854,717,157,008,914,208,199,157,500,058,757,449,
846,241,612,404,333,068,807,777,844,721,860,766,192,416,928,709,574,167,753,
296,104,646,518,347,308,815,907,802,188,617,829,551,959,759,562,420,139,760,
224,142,687,771,961,027,269,467,884,378,892,484,429,699,851,790,023,428,910,
854,102,555,612,126,700,939,689,627,983,746,942,386,097,450,282,094,975,279,
940,688,221,383,636,272,007,667,095,790,799,901,228,362,306,100,681,661,748,
716,512,794,736,229,156,651,211,251,017,518,240,071,271,234,977,771,631,234,
579,155,168,270,219,918,467,588,978,506,334,775,574,485,394,132,487,959,108,
792,200,560,127,174,673,189,711,847,919,072,045,642,571,485,157,885,567,672,
098,737,995,365,656,620,137,614,747,426,210,140,674,850,445,216,775,619,623,
488,239,338,095,784,591,415,822,470,992,615,012,236,468,556,674,894,750,962,
130,486,017,128,309,688,145,300,386,952,520,997,800,557,286,201,237,610,864,
732,049,634,435,851,384,477,338,983,902,483,343,462,470,689,187,954,039,707,
605,936,437,185,480,127,837,444,798,529,722,553,388,492,071,739,460,757,063,
919,790,637,806,197,347,867,827,765,102,610,655,020,717,886,222,622,395,147,
895,225,519,224,598,670,437,560,331,169,185,063,557,389,823,950,066,564,305,
684,245,365,029,779,288,323,179,802,202,987,581,831,156,721,445,067,978,368,
495,382,799,360,447,938,901,514,930,802,041,179,234,143,946,536,988,396,707,
787,715,400,982,695,262,926,155,155,977,344,258,544,015,635,052,398,816,972,
327,768,199,915,241,963,303,863,087,602,150,099,581,878,837,670,820,027,040,
023,740,378,519,373,910,165,044,728,296,152,714,665,639,978,093,734,142,766,
696,751,947,939,043,232,672,107,481,733,719,738,197,848,643,328,936,034,246,
064,489,658,463,207,076,253,950,052,278,811,393,015,987,144,941,846,910,223,
324,108,626,987,550,642,997,692,209,306,175,724,344,595,933,882,946,941,477,
560,423,895,002,988,633,784,571,373,056,756,130,447,961,298,101,876,517,751,
767,323,317,313,810,781,721,920,010,315,114,834,419,307,309,320,546,606,413,
085,660,768,361,748,010,064,661,127,390,068,845,287,719,103,896,615,490,162,
038,446,887,266,115,149,742,392,247,176,558,314,416,795,476,238,261,208,225,
442,201,196,216,687,591,628,121,608,653,712,432,453,733,618,581,609,542,794,
900,001,430,182,080,990,865,713,316,421,894,421,682,597,500,832,644,813,009,
602,709,678,852,269,674,490,992,953,907,955,841,283,290,439,404,192,641,007,
490,444,662,070,736,946,756,327,646,648,130,433,231,057,003,465,589,183,245,
403,478,770,926,593,250,844,932,860,418,245,183,879,540,008,284,081,563,249,
238,499,717,935,014,066,813,099,737,097,126,128,232,707,657,693,520,280,062,
931,068,854,554,203,422,686,982,383,860,414,955,715,048,820,594,091,161,475,
343,020,994,648,141,767,359,067,651,426,369,210,725,847,919,037,579,303,161,
195,880,086,306,500,144,471,028,174,557,738,695,297,640,504,816,485,501,837,
826,622,439,059,912,536,643,767,935,498,636,584,688,756,960,332,832,244,512,
609,209,174,202,233,405,463,806,028,995,506,413,269,742,184,612,596,044,802,
770,335,437,077,547,814,053,131,281,214,349,754,775,569,707,775,500,140,906,
409,221,341,735,515,631,603,060,634,575,407,144,246,088,032,493,926,602,599,
196,782,451,255,453,985,464,301,818,435,364,840,291,921,210,030,847,336,432,
818,699,116,886,564,406,038,074,898,673,207,218,016,643,854,525,689,528,545,
140,641,666,061,828,726,726,394,791,383,305,071,590,149,380,387,311,554,083,
103,270,767,147,001,892,247,092,229,987,095,526,283,140,193,930,966,172,061,
173,274,394,891,261,454,371,529,710,588,971,669,883,574,910,328,913,472,090,
215,520,075,193,383,764,954,362,790,474,272,654,018,393,933,229,797,517,082,
743,504,424,022,543,925,856,523,569,622,008,306,302,469,822,622,269,980,114,
832,253,420,300,394,055,104,860,711,302,878,173,410,211,738,857,178,105,275,
844,905,147,320,467,414,990,202,383,918,463,476,546,485,483,298,281,781,197,
733,116,347,691,293,001,123,987,605,401,953,074,003,757,308,780,335,661,950,
093,396,276,649,966,663,114,084,855,249,271,222,788,300,169,369,231,414,455,
134,018,820,042,465,340,577,806,485,944,782,009,094,278,277,100,950,087,425,
277,377,231,965,891,188,072,311,759,654,422,613,735,557,444,453,039,555,002,
062,122,021,254,045,830,455,642,470,425,176,063,778,263,171,946,246,391,454,
406,868,322,321,035,268,612,550,222,966,572,706,562,096,064,548,806,105,431,
631,889,770,770,690,985,215,782,398,197,976,328,021,197,963,038,895,132,955,
395,956,180,017,973,006,072,730,193,150,498,515,747,045,316,159,728,147,977,
192,065,339,817,226,377,537,955,742,926,524,575,821,055,959,888,452,973,013,
208,266,642,446,293,297,612,987,632,298,408,799,056,171,382,714,498,747,955,
609,225,658,417,129,523,033,730,360,518,289,931,092,215,350,494,508,188,231,
446,158,471,038,566,480,539,045,838,460,264,018,738,348,688,555,454,612,630,
187,781,607,795,718,688,771,751,564,315,472,235,480,802,135,868,484,369,551,
446,306,284,920,345,005,898,929,595,169,245,508,266,868,470,384,064,350,605,
136,620,854,563,358,228,660,556,851,796,349,078,636,861,078,126,134,607,216,
396,078,350,095,451,996,359,255,838,387,858,632,462,005,703,674,821,705,803,
645,846,795,598,449,154,538,970,274,956,052,752,934,761,807,862,846,104,973,
263,309,782,797,726,505,155,330,829,102,548,095,066,434,491,246,830,770,126,
401,042,221,799,666,785,263,872,812,081,991,481,192,789,217,421,754,313,527,
691,002,826,658,534,686,197,288,021,540,194,753,924,485,984,665,012,407,074,
732,234,939,067,608,929,733,891,986,972,000,531,006,505,902,635,900,108,739,
498,316,449,946,662,486,981,257,749,744,705,513,384,131,232,016,541,885,263,
362,356,888,557,580,933,958,626,189,075,141,634,630,852,861,300,085,238,780,
512,882,495,528,682,164,693,756,850,721,552,463,541,008,984,277,583,614,145,
147,501,045,056,081,492,435,183,325,414,377,353,352,619,604,953,064,687,382,
094,952,487,539,640,830,658,491,648,008,090,517,118,833,040,742,686,371,307,
803,932,685,012,915,370,049,186,258,267,315,009,725,471,300,244,739,946,925,
093,933,165,269,724,793,424,378,269,548,206,585,666,028,600,156,496,640,830,
907,885,418,045,159,812,975,728,657,998,295,682,259,870,655,143,546,191,766,
799,337,338,177,804,735,671,402,366,092,554,536,289,022,211,472,178,371,606,
072,287,502,932,890,674,991,367,942,621,250,491,756,902,244,954,771,586,840,
273,362,094,358,756,362,668,681,904,745,355,558,103,788,646,867,636,905,705,
502,386,111,974,562,502,859,474,596,675,293,980,432,228,484,158,464,754,074,
428,289,939,150,919,672,975,196,030,035,009,613,464,576,285,500,935,571,772,
749,949,776,588,534,833,290,048,115,301,800,194,451,293,565,153,114,390,766,
928,896,756,966,142,026,409,947,812,334,892,324,250,339,837,663,269,656,016,
155,456,294,455,496,638,285,917,700,395,359,321,554,495,454,021,261,910,245,
142,138,339,971,108,934,545,399,137,003,925,453,394,725,062,648,467,532,047,
089,520,725,969,637,426,895,726,067,938,327,379,224,426,648,974,430,199,227,
223,023,753,274,309,731,547,427,315,998,149,891,529,974,364,787,993,838,201,
396,023,872,457,396,677,170,599,155,046,171,711,087,415,295,679,170,490,611,
277,372,907,480,914,152,165,065,510,584,233,269,816,792,420,510,226,025,126,
719,723,133,050,006,480,723,735,068,490,368,050,371,515,730,437,663,467,919,
575,885,210,216,339,680,872,224,210,205,787,020,977,111,213,059,699,011,210,
474,188,034,259,562,504,128,923,903,862,437,645,262,205,466,155,478,396,576,
028,555,311,697,953,921,217,466,318,493,760,352,926,996,622,166,795,505,556,
690,300,867,139,099,934,968,175,242,841,934,132,281,936,846,292,135,099,390,
142,020,459,181,641,548,286,376,079,752,621,463,343,609,312,260,425,712,531,
548,540,363,636,756,824,284,506,126,424,291,192,121,709,412,677,613,938,215,
408,163,708,854,282,296,972,385,914,742,366,618,187,208,548,693,748,786,461,
426,660,219,439,529,917,057,735,178,507,751,874,396,796,047,543,284,100,469,
911,026,961,601,352,004,110,997,385,148,904,780,083,477,015,093,608,313,403,
616,839,166,941,555,300,312,406,719,827,799,693,034,974,013,066,458,845,018,
939,501,020,262,737,079,599,259,916,611,111,781,655,317,001,598,751,982,406,
397,650,285,105,432,265,399,098,049,161,590,067,428,098,342,393,077,884,883,
868,370,629,856,683,897,418,684,971,047,356,896,116,741,474,643,498,637,476,
056,689,521,038,354,098,079,535,378,239,819,507,128,515,646,225,757,457,398,
868,179,058,121,887,592,012,537,968,874,208,620,908,918,066,262,451,924,658,
923,520,268,692,033,689,196,862,271,855,730,409,260,757,335,030,023,168,019,
504,081,088,491,263,519,148,092,861,012,344,964,055,918,496,120,430,102,111,
145,518,363,007,489,311,726,715,704,003,254,674,600,702,524,371,061,399,489,
806,056,558,110,196,205,530,157,340,375,508,836,070,999,724,381,497,759,525,
735,212,890,672,018,413,952,283,727,059,467,382,987,985,902,813,841,239,790,
997,752,236,875,877,709,037,944,482,725,121,376,658,364,440,785,004,355,574,
307,067,544,778,474,476,438,178,963,667,394,104,611,774,146,232,174,035,676,
860,651,376,946,391,995,587,296,795,895,222,546,667,576,841,003,017,250,991,
738,553,021,206,680,417,785,108,129,015,613,260,406,059,895,364,737,679,428,
467,597,451,698,603,552,828,667,875,898,090,078,822,895,911,875,071,301,800,
999,633,647,658,103,434,179,210,798,942,953,638,562,997,235,894,528,084,236,
855,524,978,317,560,933,011,843,912,321,650,604,019,641,550,041,625,808,436,
248,810,038,888,114,985,064,765,241,264,464,749,178,199,968,045,043,364,474,
114,323,969,288,256,714,791,235,833,463,478,148,454,976,206,434,023,560,865,
633,519,448,224,778,491,828,262,112,358,072,179,638,007,319,564,812,321,809,
941,365,520,837,835,069,509,111,792,475,622,530,087,746,675,414,736,392,022,
383,616,050,475,937,622,961,479,150,116,248,776,430,926,075,198,092,579,284,
739,290,202,658,691,021,439,310,440,774,718,041,496,009,381,237,655,034,606,
132,278,164,998,320,427,806,444,930,428,946,971,023,631,401,109,069,501,614,
193,038,246,099,680,269,312,984,472,389,256,414,702,062,355,210,708,739,456,
836,387,115,913,388,316,811,316,354,008,113,798,144,682,790,791,133,519,085,
501,487,245,270,074,410,979,596,660,379,189,904,693,136,839,347,653,734,837,
793,006,613,667,417,775,845,387,041,634,883,589,844,034,113,680,284,361,425,
048,786,347,368,641,681,458,798,207,492,681,816,535,107,141,888,687,115,062,
076,855,782,279,383,101,837,879,333,437,827,332,538,822,069,130,765,923,059,
636,480,529,484,316,741,549,314,564,029,420,083,410,752,294,785,603,811,600,
303,290,753,341,440,242,745,010,193,233,282,733,950,281,977,403,435,841,335,
910,471,474,084,967,267,885,704,534,581,058,837,888,372,569,151,472,840,740,
787,208,996,164,384,044,216,790,126,978,594,058,491,114,062,535,682,565,002,
299,237,064,174,842,795,129,713,968,401,462,549,434,877,941,289,338,955,357,
369,888,109,244,897,049,356,924,516,859,511,490,122,434,524,359,514,784,186,
503,679,170,727,923,912,690,849,726,925,381,835,049,816,995,965,674,836,339,
048,017,669,003,327,558,468,915,357,065,617,518,547,493,137,414,799,962,357,
089,432,627,975,266,308,317,980,799,492,649,581,783,499,046,804,573,049,169,
887,357,351,970,765,026,991,476,614,952,193,958,752,416,874,337,519,703,773,
728,194,324,866,854,860,445,713,329,420,642,033,679,991,869,443,966,892,673,
731,449,230,142,676,175,058,930,481,842,826,661,220,440,093,929,765,193,602,
568,805,048,809,353,479,897,952,364,800,084,225,669,878,563,653,702,105,966,
462,764,659,490,242,728,311,577,398,459,516,441,873,632,869,283,277,395,362,
068,560,519,218,044,562,605,147,168,769,518,074,578,930,395,497,058,535,878,
789,421,006,505,117,315,534,342,015,531,566,599,827,048,623,132,266,897,141,
133,071,621,472,013,806,874,363,822,097,646,179,506,763,859,949,532,147,229,
838,300,946,997,948,647,653,972,987,304,003,333,857,779,813,810,755,654,977,
307,396,972,508,811,031,576,968,119,147,300,238,035,562,756,009,850,653,462,
271,632,258,007,166,313,883,180,634,482,955,665,633,386,525,645,612,337,203,
475,742,421,871,019,395,484,286,817,439,024,131,307,901,476,113,682,622,863,
380,808,612,019,543,752,137,540,758,617,464,261,274,155,656,227,587,223,399,
739,437,219,111,770,057,389,371,815,775,698,358,167,006,240,740,619,108,004,
993,242,874,656,744,851,631,691,565,687,663,406,657,967,326,706,541,834,488,
304,272,555,084,822,403,766,410,199,826,365,062,565,600,611,931,903,958,941,
017,511,471,726,341,485,335,369,911,559,677,977,078,362,798,618,725,915,489,
970,014,117,227,756,001,741,575,688,116,140,124,771,020,072,174,071,682,014,
612,652,951,864,592,262,974,435,876,764,894,599,809,582,593,448,702,808,472,
698,774,475,139,969,375,349,272,947,084,890,179,066,006,571,881,992,773,793,
092,380,843,293,039,969,726,286,169,690,354,944,516,426,239,618,881,153,117,
906,021,247,714,936,544,146,945,351,979,610,746,524,167,194,249,230,198,867,
585,637,547,316,569,171,204,424,874,665,638,393,744,194,293,090,838,830,423,
792,691,091,638,639,457,662,219,959,024,696,433,506,645,390,554,931,603,076,
698,628,429,729,926,734,429,657,580,908,713,260,219,569,056,739,392,129,255,
400,842,777,431,502,178,952,672,351,779,209,338,817,767,418,506,728,302,969,
762,921,011,252,565,615,227,953,896,659,093,264,403,163,291,524,798,186,461,
642,475,630,071,885,499,051,331,558,453,655,344,735,948,652,541,147,364,168,
880,948,587,640,065,876,206,014,235,503,531,651,449,061,967,575,490,584,965,
406,379,286,257,184,345,930,528,549,067,017,384,689,600,136,721,387,500,633,
920,873,676,022,327,247,369,786,879,020,252,206,124,063,047,031,843,934,208,
783,273,017,324,386,847,712,364,086,083,371,453,634,148,470,012,381,403,332,
975,690,259,419,750,925,322,431,863,350,373,083,611,431,494,457,966,553,032,
995,872,586,450,039,072,940,462,587,732,879,488,552,697,419,773,186,789,443,
460,069,194,883,229,206,192,363,040,326,490,576,774,562,544,846,977,904,502,
758,970,295,437,247,575,036,507,466,988,609,945,800,138,254,277,571,371,901,
380,853,551,357,173,147,676,567,273,526,541,796,268,290,552,862,207,025,496,
717,749,737,157,425,806,696,231,660,730,846,851,811,835,646,915,553,459,549,
183,823,188,214,408,874,431,557,284,696,871,123,797,293,048,630,332,776,366,
312,323,936,003,779,251,939,856,803,834,400,316,331,027,683,340,297,008,870,
444,818,355,045,710,351,832,632,227,317,097,756,870,345,756,722,409,190,005,
676,903,680,665,949,783,209,304,669,043,389,349,212,676,816,248,326,980,910,
262,362,182,559,284,290,555,840,282,550,990,473,452,841,051,031,603,031,224,
606,442,213,239,156,776,808,389,723,940,953,403,184,875,826,559,543,045,490,
422,082,168,118,810,941,019,024,388,589,004,128,181,030,191,015,890,269,881,
191,164,914,560,556,335,630,711,841,709,188,765,239,932,573,939,115,689,302,
598,660,314,504,981,593,998,337,677,989,994,493,816,000,198,655,365,818,246,
591,615,855,967,318,179,764,799,724,095,768,033,395,250,674,586,328,010,926,
271,556,723,796,813,060,545,612,908,349,783,956,975,174,457,055,172,566,348,
558,211,940,483,378,130,190,764,050,752,523,417,162,058,681,713,084,566,029,
281,944,469,085,602,224,458,843,946,415,455,519,541,327,304,175,253,359,565,
185,200,739,720,229,348,766,056,825,856,656,661,113,658,574,811,819,253,673,
916,313,484,651,579,062,643,549,313,104,609,876,154,795,153,364,289,126,481,
962,101,812,787,373,483,856,863,954,449,769,710,166,046,060,834,608,385,440,
828,827,868,513,432,397,903,096,294,451,838,345,221,111,553,765,068,866,536,
343,269,991,555,749,175,283,451,040,941,817,071,310,238,295,164,829,177,274,
325,344,469,785,996,754,581,966,821,412,484,564,486,070,334,261,839,547,133,
086,704,425,608,295,856,855,413,651,232,871,871,206,202,328,048,573,437,882,
123,921,462,075,980,750,152,728,164,540,426,236,126,482,454,388,721,538,274,
166,230,138,032,633,101,225,104,716,978,005,919,977,281,650,530,977,462,825,
094,498,665,375,712,036,966,059,653,217,469,584,870,212,573,463,619,654,913,
214,018,004,401,037,655,348,229,035,201,011,691,984,733,065,453,118,885,175,
967,907,499,373,439,892,590,733,769,100,136,841,408,379,776,773,946,737,334,
755,637,529,700,394,277,254,178,833,740,477,171,774,644,819,917,293,212,003,
211,764,699,620,621,724,678,303,465,509,823,502,146,188,414,473,406,601,100,
492,040,842,380,241,104,520,180,717,345,230,248,174,213,326,341,715,056,027,
957,663,284,097,022,007,743,907,085,119,828,715,334,198,361,282,556,592,685,
627,220,158,149,962,988,378,724,221,150,535,357,228,174,020,564,113,180,233,
987,918,017,723,466,061,977,351,427,528,842,452,161,043,744,880,714,532,938,
401,987,382,444,183,469,001,261,818,602,145,384,258,473,400,393,697,599,620,
103,927,560,235,090,114,770,020,774,859,438,753,879,311,464,166,656,547,479,
355,147,474,579,883,129,651,197,121,024,828,280,118,182,053,967,366,888,596,
847,401,534,611,217,149,108,345,001,524,499,533,373,748,550,038,973,685,958,
885,678,480,053,335,874,847,828,031,242,541,974,555,503,996,567,341,875,982,
807,060,593,490,896,840,250,894,505,655,358,120,773,704,832,509,676,691,631,
740,699,633,438,511,144,274,281,944,275,904,556,195,849,554,352,586,175,416,
246,395,555,848,617,260,736,565,721,672,075,195,481,937,010,601,404,746,557,
589,967,361,354,572,400,501,674,185,628,427,277,659,528,579,636,809,039,941,
767,222,686,068,794,554,917,084,246,501,639,101,321,424,677,593,361,378,556,
351,316,027,643,923,372,392,589,729,810,108,191,708,953,008,262,656,939,080,
768,101,618,826,194,567,176,932,641,309,467,339,134,255,829,080,435,689,198,
085,365,575,769,891,408,610,979,038,451,634,030,023,469,370,190,555,560,044,
535,838,453,381,988,773,023,092,145,169,917,406,311,990,356,469,636,699,113,
534,987,923,035,873,738,440,800,669,508,924,477,508,116,397,647,908,945,891,
350,126,631,452,939,493,167,558,477,807,720,365,954,859,155,432,730,640,101,
098,913,695,411,661,278,595,246,798,379,385,989,724,675,071,051,987,959,445,
900,702,161,114,393,453,247,825,728,134,780,482,524,071,160,006,878,497,465,
073,076,218,937,738,455,138,719,256,146,760,395,135,228,502,001,510,556,941,
593,151,978,179,974,897,336,751,401,877,188,169,830,169,666,065,982,883,996,
368,472,944,955,089,909,441,937,537,420,843,611,171,015,953,609,570,195,206,
379,433,584,481,922,729,116,998,719,673,334,121,994,805,616,208,648,625,948,
221,897,845,431,261,339,612,032,467,475,380,441,273,520,646,281,420,331,356,
387,271,586,480,053,373,540,275,434,304,928,701,522,471,740,250,445,952,860,
340,184,337,434,421,678,063,536,079,710,824,674,037,594,811,876,384,112,211,
423,471,116,590,013,072,186,626,071,532,871,408,733,904,730,583,700,670,091,
947,309,571,586,526,303,205,085,538,834,673,325,007,311,482,040,661,530,646,
075,310,402,776,134,036,939,880,904,346,805,304,361,663,455,818,759,670,929,
107,940,826,849,796,899,645,272,590,311,419,830,156,312,876,783,347,222,676,
873,404,767,695,799,887,864,942,103,057,483,509,930,131,799,161,296,900,000,
217,665,240,892,333,696,858,002,397,886,991,533,297,314,170,639,435,627,488,
757,656,248,728,363,903,110,784,872,882,644,387,632,579,885,356,391,626,418,
055,374,514,114,627,390,451,616,396,936,322,387,605,898,424,918,425,105,995,
135,152,999,167,289,416,141,118,527,671,255,248,552,467,782,666,813,425,864,
480,601,870,743,951,469,620,711,791,548,145,948,018,035,462,989,572,835,190,
773,711,039,004,861,344,082,899,704,053,466,867,590,436,451,258,562,838,770,
819,390,073,778,454,469,433,166,189,196,781,505,961,877,558,340,649,709,835,
238,717,542,222,817,884,887,032,596,141,947,822,633,645,605,387,821,844,948,
946,384,033,795,284,669,330,771,600,207,266,219,975,616,325,640,950,832,424,
022,277,992,190,278,722,002,667,809,350,155,891,161,999,598,029,766,794,465,
140,736,448,859,772,028,903,940,971,685,181,494,354,700,251,561,589,241,693,
510,276,878,271,674,563,267,340,515,778,201,160,739,578,679,519,126,596,604,
487,944,647,838,504,525,437,361,505,649,428,678,844,896,411,718,985,878,161,
708,117,247,986,878,713,467,445,523,127,389,650,223,839,622,780,868,918,905,
781,417,515,915,730,978,778,071,972,399,682,304,225,303,136,318,512,867,581,
876,645,732,089,249,617,912,683,692,071,508,568,008,968,091,020,961,048,720,
866,158,497,292,665,167,142,452,169,124,087,387,697,678,427,357,125,520,183,
814,562,486,877,910,696,846,835,664,153,573,113,795,601,409,514,906,024,391,
157,824,249,040,219,998,382,701,788,573,530,004,296,549,061,925,107,334,623,
040,799,733,938,251,410,428,148,567,443,794,099,477,497,052,138,399,074,963,
381,792,146,522,455,526,857,646,101,309,837,649,229,809,041,775,041,772,762,
116,106,103,669,254,355,148,494,177,221,940,380,449,834,853,200,976,022,153,
824,631,042,678,440,976,622,755,477,193,828,312,933,048,668,071,187,354,061,
782,723,060,559,022,845,882,066,460,473,261,955,649,795,451,691,137,649,878,
293,696,837,383,929,447,421,978,848,904,640,123,060,270,271,100,678,962,482,
678,322,882,307,033,103,201,380,498,188,877,363,948,355,533,906,043,341,196,
094,373,152,372,659,718,426,897,202,297,515,055,277,472,085,462,933,299,149,
476,541,560,374,901,909,205,777,580,067,525,274,793,265,446,376,300,689,292,
022,694,940,480,658,739,345,170,732,335,269,613,789,629,995,725,821,763,738,
846,845,474,227,739,012,789,914,578,033,779,197,907,619,827,149,852,584,042,
468,090,938,432,485,666,654,120,550,352,524,902,101,462,666,237,407,138,481,
908,664,253,815,941,614,719,338,081,966,624,725,005,278,919,378,855,744,079,
831,851,911,391,351,665,027,153,079,907,714,914,746,845,468,646,953,834,580,
408,135,060,093,081,242,802,393,984,339,809,006,396,903,055,735,613,560,778,
657,897,529,915,622,839,569,150,509,280,226,994,573,627,893,884,188,301,699,
872,072,347,616,840,621,070,816,918,097,659,042,440,063,632,250,042,477,564,
299,013,661,103,259,331,340,735,462,849,311,554,106,905,592,076,510,116,860,
375,525,048,236,376,278,975,739,412,428,687,194,129,531,637,389,916,789,356,
137,695,700,800,184,769,189,200,561,527,827,611,260,252,746,567,803,593,456,
781,952,632,425,466,852,234,019,098,513,796,679,146,017,173,436,158,835,823,
220,693,028,185,402,927,957,123,689,930,930,723,609,514,047,838,680,869,988,
398,540,217,220,734,039,928,282,365,310,699,938,014,872,765,657,658,319,859,
007,542,416,051,927,348,174,122,828,287,010,250,869,358,527,553,516,972,613,
298,974,294,388,710,535,070,457,615,019,155,391,103,037,453,593,428,570,829,
576,709,312,108,198,895,097,484,583,903,461,998,758,362,899,421,693,117,749,
166,290,404,003,814,659,189,809,805,316,134,317,863,168,861,166,930,691,001,
355,258,239,555,845,652,518,060,381,382,144,027,474,435,664,510,267,798,364,
464,845,357,091,806,138,291,088,106,765,594,810,199,525,876,052,223,547,155,
361,024,453,880,285,030,786,640,188,613,713,676,941,941,659,240,055,123,977,
161,054,588,224,888,796,469,761,348,064,012,675,169,628,301,049,318,999,538,
631,704,359,936,401,765,043,642,093,355,950,234,145,715,126,345,122,929,620,
691,942,223,334,537,391,285,730,916,090,496,667,273,714,570,214,551,973,523,
317,130,102,096,004,283,761,852,472,796,238,987,227,880,272,614,354,767,097,
553,743,982,363,849,768,508,863,078,024,423,193,309,655,304,702,537,962,801,
926,963,036,983,114,800,586,325,103,072,386,771,368,366,132,571,259,208,095,
671,826,722,888,125,099,782,784,604,790,735,720,808,955,593,061,249,224,157,
963,656,581,341,844,752,788,206,284,438,060,294,573,104,359,414,628,987,166,
639,959,208,234,206,848,377,967,978,432,563,692,097,619,642,026,443,039,548,
772,409,301,828,709,867,822,563,503,512,687,488,951,122,779,232,177,814,922,
330,861,304,223,380,088,361,579,809,845,423,911,374,182,901,507,947,612,193,
455,923,391,448,920,111,583,981,668,153,376,210,017,911,834,047,152,615,759,
115,740,728,687,585,031,760,983,488,040,862,247,642,813,421,727,908,739,859,
355,538,035,319,455,259,475,323,830,352,378,803,402,674,977,927,732,197,642,
533,614,952,459,198,327,283,549,099,873,666,296,848,966,904,803,720,521,947,
471,895,296,341,072,892,639,355,733,115,456,185,659,947,118,772,694,943,239,
449,858,950,790,179,636,273,008,358,473,457,189,502,388,936,674,610,270,279,
083,821,196,847,235,888,569,996,392,541,283,866,570,706,303,991,041,707,020,
507,469,533,855,450,000,132,527,873,966,001,633,098,004,485,242,758,473,796,
733,866,716,909,837,646,525,580,915,573,321,492,049,412,628,816,092,700,211,
431,594,697,292,352,532,922,895,363,344,146,023,798,881,731,381,818,027,639,
701,084,516,191,449,628,905,185,575,573,073,819,867,469,000,305,010,715,042,
307,341,336,680,971,794,584,756,532,176,439,164,287,232,005,329,801,765,885,
344,219,316,524,465,623,957,893,682,015,854,645,200,109,785,135,334,001,657,
485,525,325,618,035,842,228,508,954,578,602,992,628,970,646,261,469,712,017,
451,734,365,894,264,026,050,311,550,739,582,079,916,570,323,001,664,254,158,
015,222,116,016,973,404,602,062,845,824,887,899,497,758,738,763,189,842,159,
674,117,500,248,399,047,784,742,199,699,832,780,735,049,333,082,299,127,919,
235,341,254,849,166,516,977,685,953,905,861,024,409,782,722,835,637,748,974,
111,569,457,305,676,034,843,630,718,503,248,554,831,121,843,518,436,885,956,
803,740,531,731,547,001,318,108,739,529,592,872,520,084,015,115,648,033,196,
696,299,723,917,530,536,735,124,515,767,791,888,552,539,457,248,420,046,889,
990,274,217,098,166,713,025,852,469,679,489,490,154,140,494,747,990,406,276,
527,995,624,174,711,893,141,035,058,925,344,452,459,355,041,877,722,805,733,
648,349,342,576,569,924,441,366,502,946,109,555,483,136,545,334,038,104,160,
284,170,658,295,692,848,501,993,953,044,930,904,600,656,146,074,544,064,058,
244,393,705,360,348,305,127,452,100,159,107,930,795,572,552,776,574,118,190,
534,567,520,261,182,008,114,959,959,897,572,617,602,499,809,196,578,086,376,
637,655,142,004,817,651,324,260,214,793,200,816,340,767,362,666,972,345,890,
138,305,664,515,172,461,626,291,666,415,129,225,176,287,290,031,886,636,233,
066,705,087,583,981,393,412,793,011,658,722,260,226,698,786,480,762,027,442,
771,850,044,235,570,897,262,009,481,875,426,238,742,477,552,472,760,615,276,
088,003,062,096,478,635,983,073,848,123,896,275,041,670,420,674,018,876,305,
788,751,769,583,453,840,847,954,393,570,211,846,180,242,856,260,849,803,799,
431,254,083,877,202,629,156,106,270,455,877,104,816,434,891,541,542,629,698,
289,533,817,312,083,903,499,481,530,693,847,774,514,286,580,613,569,000,658,
371,148,654,887,559,765,877,175,491,828,413,332,202,737,705,145,989,625,445,
316,753,900,752,912,285,759,673,287,302,868,366,420,233,990,312,508,133,440,
318,765,333,195,172,306,377,039,621,458,882,312,983,209,224,235,360,010,071,
634,329,451,884,005,846,213,538,813,539,240,826,753,188,514,965,437,046,490,
182,636,024,133,674,645,960,554,517,829,416,394,020,183,249,936,333,723,604,
075,253,061,133,454,658,300,866,109,152,319,635,369,954,183,779,307,838,343,
013,552,823,913,237,224,210,281,740,798,306,493,676,879,963,413,166,970,330,
351,543,758,346,835,643,326,359,152,110,567,891,314,916,947,116,265,493,319,
035,431,426,588,985,060,951,730,771,746,082,748,110,003,506,872,990,296,505,
552,993,126,373,048,344,312,323,977,939,923,244,485,292,750,379,489,863,442,
168,206,095,731,663,603,426,375,429,662,115,092,359,631,315,126,173,013,255,
574,110,835,202,843,450,013,644,402,893,640,341,631,121,500,315,958,767,983,
588,350,736,774,970,620,755,097,717,167,489,283,891,986,923,555,168,056,521,
904,693,120,282,197,180,258,843,537,525,314,380,065,603,345,612,747,769,681,
661,489,917,250,762,917,610,238,329,785,456,725,292,259,942,750,326,614,159,
930,805,471,470,057,629,091,477,549,830,142,304,256,197,459,531,663,550,020,
302,952,986,566,290,908,741,782,723,747,132,089,694,430,460,386,312,017,195,
453,375,830,504,845,503,194,185,630,405,101,759,472,794,980,555,219,342,902,
770,914,817,282,961,609,493,748,515,779,056,875,755,114,919,675,327,732,898,
274,392,946,710,518,056,963,102,788,236,042,363,722,916,853,247,824,310,856,
900,441,864,020,029,801,287,096,104,638,832,760,551,952,784,581,546,464,719,
145,938,245,066,687,380,461,887,859,475,316,779,915,050,100,031,217,769,403,
303,644,159,438,662,831,536,410,451,675,192,174,618,000,314,162,792,800,959,
411,093,237,339,113,705,025,627,742,062,704,392,771,605,760,930,269,427,082,
620,214,395,646,077,247,958,424,682,062,218,715,322,815,970,598,473,125,446,
245,059,551,980,048,747,658,643,608,869,356,367,755,725,247,702,051,636,937,
593,973,348,581,617,567,247,143,236,262,110,014,138,260,371,904,374,284,760,
993,293,546,318,969,494,683,101,956,696,771,454,775,372,920,459,730,355,933,
176,479,809,627,718,934,456,884,098,368,670,207,709,899,962,051,729,776,519,
850,979,273,746,845,484,883,020,242,595,665,718,023,282,016,075,137,191,239,
737,433,390,778,428,191,434,565,280,349,239,794,278,402,239,417,639,499,069,
146,847,554,777,479,949,661,905,788,545,485,355,858,877,889,206,888,931,400,
064,911,611,312,207,701,686,767,349,424,739,405,098,475,741,235,566,907,190,
664,453,283,363,506,339,976,097,475,052,838,779,811,225,672,370,402,875,171,
607,094,010,178,088,565,521,683,220,536,395,598,332,706,226,819,418,263,346,
499,443,143,213,562,663,405,168,713,607,732,294,065,435,040,113,960,323,520,
606,346,400,858,652,920,805,569,202,750,481,713,870,360,467,012,171,307,978,
607,071,456,429,899,365,255,430,695,588,899,488,289,039,912,801,105,763,475,
391,273,302,873,017,984,940,121,474,088,036,255,862,920,453,358,750,866,363,
946,027,533,774,396,023,837,596,403,791,902,265,823,087,054,470,752,692,715,
487,375,343,043,369,999,265,098,263,091,177,799,529,274,877,356,056,329,469,
002,684,824,839,306,724,446,042,667,555,943,477,467,146,426,440,827,075,938,
123,357,614,999,355,405,152,796,251,192,234,615,935,807,086,992,225,620,412,
860,554,418,390,202,056,824,159,416,514,174,553,969,809,854,482,178,619,390,
928,327,460,438,238,537,797,442,053,722,130,882,315,309,802,074,877,738,303,
402,953,692,503,206,378,640,541,711,865,460,583,780,761,241,229,305,279,223,
298,129,998,792,558,154,290,802,690,166,061,648,605,952,119,261,693,013,930,
336,199,121,181,143,470,580,239,878,666,956,816,829,381,702,060,086,939,944,
884,469,853,743,191,720,662,068,816,748,583,668,776,893,260,200,289,168,791,
035,436,104,287,892,723,005,888,317,975,490,296,816,421,151,245,367,255,034,
783,510,660,259,475,808,171,030,246,843,084,639,667,027,151,329,986,331,121,
454,778,502,572,622,162,892,233,067,600,711,386,604,851,750,230,467,722,595,
981,801,119,263,885,098,003,307,405,258,239,093,089,602,091,661,043,679,401,
319,770,484,135,313,614,099,811,783,988,947,355,183,419,692,980,766,324,962,
971,515,188,965,326,906,844,489,283,359,247,315,352,582,507,059,136,508,450,
287,046,332,541,512,882,837,548,311,179,900,706,310,664,631,468,871,115,594,
727,354,204,891,888,074,537,580,164,485,864,932,538,362,751,191,432,388,076,
746,194,506,880,075,339,023,166,833,171,897,245,430,563,642,473,400,527,890,
584,074,863,371,091,954,521,247,748,690,171,725,735,370,359,719,171,058,618,
479,514,361,186,582,800,633,642,678,900,434,100,702,864,318,841,764,913,844,
416,654,236,375,356,791,562,512,950,069,712,455,313,244,551,947,645,692,291,
545,663,789,486,340,530,364,140,329,519,747,095,335,509,753,871,238,133,633,
436,760,385,555,928,043,022,011,845,311,705,270,533,710,047,668,570,739,094,
429,809,895,024,073,682,952,133,573,207,995,603,975,773,353,026,545,676,796,
615,003,025,314,009,958,224,950,463,778,263,805,057,056,354,722,865,802,729,
207,172,614,071,661,891,955,543,474,492,848,188,568,348,196,464,784,641,625,
563,159,884,936,544,301,970,957,373,421,098,581,765,517,532,237,921,716,625,
070,958,206,850,673,887,016,603,175,556,526,813,860,326,664,438,183,309,498,
903,462,232,683,710,981,570,541,646,957,373,823,676,173,372,198,999,478,170,
368,569,645,550,678,526,779,777,535,392,019,876,896,188,392,854,439,830,292,
630,113,325,548,329,199,612,335,275,987,432,194,041,821,971,336,741,793,203,
398,261,007,425,607,762,169,579,601,734,788,403,952,070,319,563,204,961,229,
775,002,429,695,638,228,623,317,328,673,861,317,539,433,208,421,113,593,668,
168,434,744,345,992,229,543,723,298,786,062,642,273,121,005,102,694,570,616,
199,356,720,407,894,412,565,227,323,894,946,322,269,082,677,842,900,643,577,
175,082,374,769,825,701,421,311,824,295,371,339,502,494,051,922,171,862,363,
602,065,151,002,255,881,591,526,400,782,133,828,104,119,759,733,778,570,883,
039,863,566,957,825,787,259,448,643,970,650,215,355,281,221,699,502,508,220,
893,113,063,766,506,270,753,147,996,569,506,126,696,470,548,540,202,443,235,
640,812,780,872,119,075,987,715,042,319,470,761,213,089,799,889,242,237,734,
189,885,625,260,555,124,024,880,089,611,901,520,614,474,537,444,138,312,415,
911,783,007,540,248,176,823,444,863,009,920,437,074,292,840,547,335,865,904,
113,148,512,023,111,725,536,249,502,440,379,155,749,531,328,005,463,720,494,
093,602,644,978,932,782,093,642,570,457,960,042,618,771,680,805,791,910,674,
522,452,088,753,093,844,124,135,367,895,151,834,722,304,729,334,562,336,189,
859,198,605,968,355,490,152,594,532,222,023,167,906,715,670,013,059,040,801,
519,990,281,329,284,903,170,135,014,689,235,529,221,095,405,437,478,286,176,
737,955,860,137,450,490,963,973,273,910,801,212,233,364,649,709,549,008,357,
169,771,105,625,813,321,393,148,709,405,119,044,635,565,551,877,843,888,464,
250,725,194,911,361,449,116,909,429,643,464,457,524,233,359,051,172,355,954,
505,708,317,468,468,628,644,830,951,944,995,091,308,438,783,520,096,993,890,
973,543,905,555,680,142,531,469,469,809,787,478,694,346,421,025,460,627,360,
718,827,824,070,352,560,158,134,406,205,019,353,386,290,261,684,961,186,264,
254,432,440,109,331,787,399,844,226,327,652,965,091,950,439,552,050,447,731,
673,148,196,702,678,012,482,208,368,699,290,646,637,831,954,105,344,630,273,
985,618,170,587,642,137,537,539,336,148,030,969,655,554,947,803,740,898,781,
669,120,717,476,202,907,078,052,483,098,781,367,253,280,842,450,064,650,699,
812,314,195,178,908,865,831,416,925,657,287,132,081,573,218,848,663,666,968,
716,893,493,385,152,700,210,360,523,763,256,191,887,753,903,930,099,453,725,
817,243,870,096,666,687,881,081,633,697,721,513,567,024,373,532,906,840,165,
591,451,827,337,870,498,903,833,287,572,746,846,968,267,580,732,560,754,851,
861,964,655,832,816,529,583,640,555,603,721,401,575,382,345,704,600,613,455,
652,084,037,132,119,957,726,336,236,541,023,800,943,606,447,471,406,124,367,
035,264,475,624,778,428,581,556,919,616,153,517,226,479,944,974,279,059,638,
937,172,587,005,218,106,450,564,588,999,195,628,619,306,175,502,974,875,272,
643,766,109,747,479,691,209,871,157,236,519,251,753,073,029,287,653,938,779,
737,811,212,342,426,415,504,900,629,907,283,145,483,159,072,991,594,855,014,
099,779,340,338,948,548,234,009,362,683,960,193,250,365,667,855,502,897,823,
711,273,972,370,201,759,923,604,072,702,969,796,470,357,222,412,766,825,087,
189,576,380,546,833,400,519,354,725,998,550,922,175,625,503,442,733,219,564,
114,466,421,075,429,833,693,684,908,562,986,981,697,413,246,195,679,528,296,
358,638,298,610,768,479,724,350,118,310,416,767,691,411,345,103,049,369,958,
219,821,147,258,104,798,862,973,399,042,009,728,510,022,074,974,561,520,085,
563,997,458,776,377,295,296,121,914,839,704,139,610,584,064,224,236,354,499,
090,005,966,955,662,844,564,929,253,388,221,006,200,949,820,346,965,475,081,
666,998,459,377,314,712,019,453,922,764,092,576,203,900,310,116,543,440,899,
579,290,117,164,053,626,729,186,823,706,696,561,619,013,246,577,124,969,532,
153,704,540,399,766,781,488,444,409,496,032,799,913,839,124,191,716,304,353,
104,105,277,191,003,568,507,705,038,458,349,249,853,785,018,458,894,054,016,
079,450,294,096,786,984,771,398,537,381,487,165,116,155,745,824,472,620,999,
269,986,991,647,154,162,342,679,583,084,097,504,166,084,241,304,834,357,901,
409,842,654,990,850,799,920,987,337,341,647,634,669,094,222,196,463,357,825,
173,289,995,861,115,323,098,569,693,235,905,331,955,248,150,081,450,276,117,
797,834,035,032,943,171,024,615,717,103,373,415,187,286,353,303,453,006,051,
980,776,928,453,056,719,003,831,246,277,991,399,634,541,937,084,966,343,842,
713,412,287,176,626,400,099,501,935,610,272,482,809,166,518,611,632,647,468,
120,506,094,439,113,877,955,283,005,846,124,706,897,806,508,719,024,793,815,
203,746,129,085,477,684,075,394,085,694,603,567,048,926,871,957,075,747,689,
964,794,420,014,360,796,415,536,073,585,600,189,993,791,751,739,971,134,136,
257,242,297,990,726,451,593,757,610,545,942,290,695,773,423,903,610,193,183,
369,990,831,428,588,855,406,053,664,097,434,887,391,470,230,874,546,334,487,
560,235,589,123,437,026,777,664,678,627,761,638,670,208,418,771,710,009,937,
229,159,140,735,593,406,000,215,559,474,765,247,082,230,792,253,410,655,523,
202,726,672,512,767,232,425,066,767,180,922,160,142,739,621,183,796,137,072,
252,320,222,795,686,680,693,453,557,830,115,361,004,833,652,762,760,370,121,
366,415,692,310,509,059,962,585,535,354,312,938,875,768,695,451,466,533,237,
672,876,814,151,593,886,673,352,833,202,745,098,224,500,996,641,424,083,884,
976,839,253,914,619,008,723,177,440,066,258,400,438,623,751,865,961,607,526,
898,098,124,349,038,540,593,251,542,165,653,810,352,811,693,930,080,568,553,
463,558,663,714,024,213,467,660,453,761,768,338,968,874,762,555,721,742,262,
124,119,178,076,369,806,758,306,044,549,192,522,281,182,715,036,868,191,729,
183,126,644,348,636,448,094,123,002,214,496,159,962,296,517,546,680,192,977,
850,673,766,116,030,179,656,585,900,749,061,042,464,663,862,137,274,567,895,
349,620,387,465,513,442,145,350,300,246,609,590,960,482,502,991,702,896,610,
572,852,512,792,848,598,458,079,355,906,851,117,473,573,797,652,012,054,508,
664,502,720,263,924,659,154,187,940,054,648,287,058,349,767,987,020,518,976,
396,555,810,681,349,468,118,042,412,723,252,361,621,615,025,628,752,662,528,
701,060,825,169,074,939,898,969,718,777,100,738,743,856,687,770,474,413,624,
697,655,454,791,065,971,475,690,076,299,859,752,027,435,461,844,662,140,740,
854,985,798,973,418,368,590,669,383,330,504,285,155,809,498,595,511,749,414,
498,998,791,778,115,083,040,643,474,536,478,334,958,189,586,031,339,311,918,
148,475,613,966,148,587,465,695,112,905,058,721,453,992,337,870,544,543,042,
136,730,442,079,817,917,563,023,944,658,736,723,729,259,952,591,102,442,606,
099,493,602,894,508,303,887,543,899,817,223,864,811,811,256,612,257,819,305,
824,886,426,692,016,824,106,442,166,330,346,352,141,687,060,407,386,995,102,
566,676,522,158,341,827,229,612,946,203,585,652,191,050,995,711,773,485,642,
988,541,161,996,921,106,155,733,598,753,476,117,906,598,023,724,270,191,500,
312,015,183,046,426,124,304,534,992,285,912,897,856,203,888,369,462,364,423,
165,602,522,403,478,234,110,064,811,097,050,312,115,086,579,391,936,693,255,
746,744,814,968,037,599,406,526,141,261,596,190,852,190,041,815,645,487,841,
395,419,371,744,409,585,201,640,845,381,304,046,223,885,785,403,427,664,226,
822,794,522,249,793,262,258,343,965,357,083,633,460,723,783,321,363,259,517,
605,560,267,568,635,070,323,651,789,727,720,232,560,582,718,526,678,726,535,
176,231,750,048,092,987,379,641,978,011,071,397,417,559,238,069,881,285,564,
351,796,005,702,679,731,751,859,843,476,198,320,007,823,971,773,679,124,423,
636,676,107,010,129,956,943,535,268,561,774,774,087,756,967,650,591,910,899,
471,002,416,638,050,132,519,580,071,935,237,354,754,657,813,874,665,391,757,
880,253,507,063,863,089,103,947,307,447,167,069,934,784,432,914,651,803,331,
156,806,595,216,012,051,918,473,853,292,417,151,868,554,937,922,671,731,500,
512,711,016,347,435,106,414,688,851,479,080,153,080,511,819,201,951,865,321,
647,130,299,957,588,834,451,688,455,356,762,613,564,437,502,697,496,777,403,
822,185,105,861,600,996,254,053,114,117,267,776,585,368,019,699,674,611,550,
626,924,125,267,132,265,185,474,207,115,463,258,773,578,225,729,832,945,208,
131,557,704,928,495,413,188,548,814,436,456,439,914,624,405,313,658,659,232,
070,819,550,502,819,645,463,615,525,899,942,568,791,089,574,148,137,823,052,
084,178,723,088,168,664,658,297,212,624,673,846,228,731,650,378,575,106,947,
530,731,454,501,243,070,538,733,329,078,948,877,564,551,748,850,008,982,819,
036,650,881,389,931,987,075,544,017,725,080,667,160,544,526,018,917,180,186,
654,813,996,479,353,730,354,450,730,137,006,421,420,269,413,971,100,874,050,
635,371,975,312,403,271,346,341,937,212,127,203,489,382,957,959,216,673,948,
694,240,259,449,811,819,408,533,135,784,876,874,466,753,142,865,157,333,350,
580,284,642,950,063,609,909,332,336,921,530,549,539,750,756,154,544,751,903,
815,113,642,152,235,576,611,232,202,324,111,820,971,933,332,037,472,674,561,
690,182,549,120,199,658,358,713,019,161,042,295,636,498,228,605,677,863,581,
359,965,540,716,715,033,294,985,273,949,624,561,103,938,052,550,116,214,822,
163,440,521,391,219,649,004,453,340,663,575,117,526,053,612,118,776,979,042,
913,788,149,488,539,645,742,204,760,719,693,867,518,316,999,317,921,610,998,
352,256,255,145,285,435,766,803,907,894,472,904,260,475,017,260,831,458,870,
117,056,043,801,639,648,369,945,142,082,715,127,300,492,364,120,772,240,469,
794,438,113,821,885,184,177,282,252,236,405,571,474,401,386,146,634,373,290,
038,962,967,491,566,007,038,416,030,773,406,466,131,745,998,740,853,982,680,
082,364,894,442,237,824,539,365,422,295,753,404,857,836,847,200,073,955,988,
219,070,013,884,314,996,812,766,665,367,533,349,924,146,789,568,179,818,536,
277,692,406,159,644,542,807,643,581,584,128,657,004,854,663,307,553,801,342,
229,342,930,648,202,494,389,434,676,902,051,797,053,527,477,915,360,824,478,
056,872,828,402,632,699,373,495,714,819,275,406,431,918,961,023,206,899,663,
561,175,910,724,193,598,665,743,888,499,091,418,709,855,057,286,774,882,118,
305,549,993,397,032,367,759,189,346,525,829,635,997,373,277,350,629,185,182,
497,227,781,420,809,731,459,950,345,700,332,057,018,531,511,261,311,670,791,
618,719,355,148,373,431,271,444,391,951,613,784,706,384,683,883,866,518,083,
756,980,571,943,144,542,202,610,661,649,456,601,512,351,144,949,171,651,703,
561,646,102,572,056,587,530,481,324,631,103,905,645,043,478,861,526,824,526,
026,810,348,185,119,884,449,415,870,202,523,864,532,506,633,516,407,653,849,
511,370,773,582,537,768,185,678,278,653,619,907,889,471,028,341,626,229,694,
468,925,224,830,453,791,912,858,289,311,149,154,488,311,437,900,338,932,451,
918,589,700,360,977,446,823,192,942,970,171,013,902,329,363,455,040,548,690,
011,915,697,483,304,269,206,413,684,817,925,423,118,697,625,578,622,803,833,
246,515,731,790,010,540,466,535,083,497,273,560,737,749,484,608,195,457,462,
042,853,403,061,025,582,335,302,748,839,273,544,406,087,816,519,825,634,638,
095,082,947,264,093,300,744,297,668,567,240,173,117,683,771,391,785,832,927,
068,312,662,075,224,277,122,087,855,754,286,467,526,369,793,508,633,100,731,
843,225,365,649,662,336,413,745,719,449,392,079,074,251,223,927,553,558,111,
087,379,787,016,731,040,295,083,866,775,072,328,022,177,642,000,334,551,412,
277,237,010,758,601,914,144,545,567,493,077,179,624,484,806,030,229,807,837,
566,835,543,593,499,655,091,569,485,578,439,330,110,999,942,898,151,868,815,
751,886,680,377,978,610,151,703,139,692,009,975,421,137,452,699,594,133,391,
172,806,151,681,526,167,887,735,603,662,876,182,044,119,043,807,720,456,387,
963,253,608,702,813,992,302,026,649,505,056,002,693,596,338,287,345,748,042,
075,759,311,164,277,177,839,317,480,930,678,702,686,825,195,986,372,373,461,
395,982,395,029,268,578,751,646,854,753,495,455,638,057,834,665,699,463,363,
612,210,826,416,478,629,971,086,082,957,417,125,000,986,940,477,779,145,156,
397,495,675,950,898,229,979,293,815,782,052,459,552,957,255,129,377,021,796,
447,658,566,783,503,519,499,004,317,417,679,539,455,781,143,252,097,302,163,
636,654,572,873,265,484,392,943,056,908,909,796,955,320,120,850,558,187,404,
381,323,001,381,449,868,961,660,901,814,384,073,025,649,628,762,458,636,951,
667,907,454,414,111,178,014,549,600,444,437,670,603,858,242,919,925,953,869,
440,328,666,960,651,328,060,542,955,258,385,637,262,738,159,545,669,622,112,
765,424,211,434,703,905,616,019,857,086,551,464,867,159,330,766,729,400,178,
011,086,136,644,862,543,876,394,781,962,522,060,935,959,792,094,285,588,761,
319,414,741,335,969,554,818,466,037,865,705,135,566,892,276,206,139,661,547,
869,492,059,943,986,700,020,678,655,891,260,825,424,213,362,963,687,157,027,
725,028,697,815,801,632,032,857,015,192,473,884,920,675,878,732,193,768,183,
608,021,312,905,629,004,103,079,730,441,167,883,468,652,726,045,762,426,042,
825,028,896,015,964,260,556,044,647,257,099,027,934,448,123,771,316,020,333,
182,473,140,395,246,786,024,563,568,140,353,085,511,088,003,359,492,249,738,
113,688,002,749,615,525,160,741,234,708,971,883,057,780,556,161,586,838,529,
940,823,957,055,477,928,887,540,946,022,375,832,053,205,292,903,751,594,497,
045,924,931,361,835,781,797,405,145,161,635,527,002,139,363,849,575,747,117,
794,556,245,986,735,462,047,996,227,141,142,639,132,521,529,314,519,367,672,
057,958,035,104,565,275,617,151,824,277,012,150,527,761,452,313,499,869,571,
802,592,116,882,935,654,739,522,138,807,655,051,849,596,075,663,695,407,697,
343,185,119,609,416,232,855,092,514,724,771,331,970,950,200,696,695,439,490,
195,877,720,041,970,070,167,833,426,531,454,044,296,512,002,770,319,194,590,
851,344,198,993,379,752,080,172,592,116,655,667,386,687,836,514,830,723,180,
813,464,372,490,734,434,271,698,656,294,202,476,662,395,789,674,160,018,684,
524,483,347,504,758,016,781,135,207,847,031,705,854,016,023,168,725,871,261,
210,327,202,854,755,579,325,133,831,506,978,438,908,602,936,270,409,851,010,
651,016,071,778,303,091,756,817,630,383,607,863,537,938,653,265,757,270,970,
123,047,993,785,557,417,878,249,360,479,584,708,775,521,075,081,078,029,029,
504,626,834,182,219,021,244,056,370,365,029,479,090,978,058,205,798,447,424,
244,425,963,185,110,411,239,648,740,183,310,478,631,740,786,586,776,866,895,
969,320,252,846,563,243,825,549,460,941,794,977,128,732,652,239,547,841,030,
413,625,124,132,137,240,631,902,641,427,721,711,893,403,171,192,352,219,597,
680,325,694,468,161,054,615,117,142,761,919,310,564,248,287,589,632,969,659,
824,082,152,339,241,036,698,405,120,527,322,225,378,043,326,779,048,544,040,
807,442,474,155,316,688,148,603,275,530,479,826,991,581,429,453,532,646,231,
424,557,213,372,980,122,775,673,061,522,004,179,246,173,197,742,410,334,936,
035,951,615,808,242,028,322,401,330,227,831,538,284,584,062,551,987,127,708,
933,700,972,866,956,142,630,760,119,661,637,308,974,242,727,834,226,919,367,
549,484,871,854,114,401,290,638,538,666,317,237,791,335,388,322,571,179,098,
765,756,342,704,444,733,918,903,233,179,946,114,358,936,734,351,032,374,729,
485,698,499,825,754,448,897,894,864,711,099,642,080,392,342,274,506,284,094,
065,704,192,304,803,053,349,848,312,042,792,192,590,224,660,790,509,017,249,
686,205,556,485,968,215,377,225,467,673,849,059,321,139,144,206,604,597,023,
042,185,309,719,597,296,725,468,084,643,431,172,050,644,738,457,311,389,611,
848,404,430,158,366,074,854,094,552,881,087,777,262,251,239,704,462,162,478,
667,006,240,409,776,707,737,674,334,981,408,136,443,223,595,685,772,329,398,
092,445,873,553,306,061,225,001,003,966,412,661,262,561,959,389,467,750,324,
709,281,429,503,050,088,886,385,641,404,318,780,950,501,803,693,584,331,845,
718,392,063,552,252,556,663,421,230,370,076,857,225,355,023,184,501,585,342,
442,625,943,848,914,907,563,959,978,505,071,313,245,897,040,144,360,714,846,
096,880,507,136,684,288,900,551,118,890,769,567,087,364,739,090,541,295,663,
377,786,721,755,910,235,228,235,665,654,669,352,784,327,442,205,641,240,500,
114,018,214,028,985,937,877,806,258,172,148,880,684,174,281,791,228,066,850,
281,228,476,143,739,238,206,869,328,943,622,095,882,012,584,238,904,722,056,
414,451,824,647,427,310,602,639,040,257,355,198,550,465,881,169,176,518,645,
988,532,358,872,397,322,745,954,617,107,954,453,438,163,900,104,523,487,096,
476,425,841,492,294,219,254,730,289,988,794,684,008,726,782,502,325,272,522,
667,595,439,589,959,533,388,295,336,025,593,903,174,343,807,335,566,290,813,
338,088,197,022,469,823,435,784,337,850,431,152,405,370,583,144,037,151,785,
421,931,037,610,074,930,500,746,463,592,612,380,880,276,300,300,161,992,389,
012,806,272,658,602,986,883,109,585,853,515,660,718,563,096,336,170,735,610,
897,435,393,316,148,363,784,912,065,641,878,729,619,723,436,596,271,474,385,
051,871,538,904,184,263,905,412,396,232,720,049,273,432,093,432,575,019,779,
453,911,162,428,247,912,252,049,903,432,903,646,751,685,643,000,234,741,044,
640,367,079,182,925,442,775,381,508,556,525,814,199,726,296,099,243,377,145,
082,416,380,057,600,071,484,031,399,310,869,558,832,097,492,735,169,873,070,
345,183,764,419,234,622,474,622,377,651,543,924,031,344,871,083,668,537,034,
942,412,823,789,511,391,820,478,420,417,122,477,917,394,433,051,522,434,431,
686,464,187,837,880,427,471,631,459,299,510,667,843,477,865,117,272,785,303,
618,824,560,849,611,765,881,300,744,551,615,785,833,590,150,419,622,696,791,
683,604,295,281,698,219,386,667,985,540,008,463,711,951,037,687,096,117,294,
245,173,765,316,390,322,857,961,462,023,524,061,911,871,903,195,961,580,452,
369,340,615,792,883,077,340,408,729,228,302,774,214,173,282,488,442,689,027,
202,539,215,865,185,724,647,041,050,898,502,681,296,383,530,707,102,344,502,
362,165,527,171,497,811,352,254,441,159,671,404,587,434,455,450,944,697,064,
420,294,037,542,295,453,737,784,162,926,149,277,458,455,151,206,924,661,966,
894,006,379,482,670,116,919,828,858,318,657,392,217,131,718,485,772,438,315,
034,298,408,468,259,213,862,121,195,806,631,673,674,902,537,398,506,130,433,
897,078,698,964,550,873,475,949,942,136,371,820,988,564,007,209,138,631,822,
938,168,617,055,169,862,450,074,884,058,558,949,178,002,605,299,542,101,942,
176,921,473,692,073,120,187,707,672,766,966,595,768,232,140,086,931,336,512,
710,797,659,453,156,628,341,582,099,150,186,276,095,688,238,891,848,089,927,
401,606,205,775,629,762,823,704,739,299,705,115,397,001,255,484,644,650,201,
002,810,860,151,049,544,542,006,327,390,086,468,854,374,623,296,995,601,978,
669,770,539,971,424,770,069,737,137,459,164,869,520,060,875,870,812,000,661,
027,006,827,667,705,841,409,581,199,779,382,632,909,915,939,319,627,650,609,
643,563,221,693,261,902,752,014,019,490,739,015,881,141,963,030,208,704,438,
165,851,887,863,739,159,399,421,182,778,697,646,820,665,637,104,977,964,923,
703,300,828,287,778,615,055,774,013,781,931,736,889,752,931,445,677,663,857,
280,005,981,697,873,737,718,636,954,791,484,804,276,489,372,494,902,676,042,
529,481,543,011,677,246,227,901,104,455,705,792,732,656,171,551,804,035,695,
041,742,607,566,658,039,944,795,940,041,904,694,835,979,997,879,394,498,695,
429,554,556,658,174,702,865,627,813,689,319,410,684,791,023,034,578,680,438,
383,819,252,530,862,556,518,539,142,492,062,464,629,075,438,199,067,142,628,
073,662,583,835,372,759,203,101,714,125,323,187,937,823,588,481,016,700,416,
682,019,606,069,383,497,148,167,905,663,027,751,714,917,267,188,069,866,268,
851,063,772,446,889,743,854,869,532,265,817,626,309,788,872,315,249,677,477,
046,857,923,697,987,228,241,207,515,960,228,273,784,712,084,732,263,009,633,
163,448,037,355,978,991,117,732,058,079,451,443,554,850,402,396,510,309,005,
161,705,780,610,759,464,472,494,574,889,312,073,780,742,264,232,711,416,303,
229,690,529,192,592,551,239,722,203,414,255,478,223,711,133,097,129,753,585,
043,406,373,296,345,455,480,416,895,012,276,785,392,838,568,403,089,323,382,
800,473,810,580,658,737,880,884,093,809,040,277,744,375,974,867,439,924,162,
507,993,114,976,546,515,736,376,575,288,573,434,783,392,646,448,462,473,791,
700,512,253,677,453,805,749,215,419,749,595,539,311,340,208,941,236,865,126,
636,872,418,530,176,668,396,889,526,488,763,465,962,431,090,996,852,741,916,
735,692,098,975,727,087,721,235,177,788,534,932,627,779,901,735,762,431,393,
615,037,264,118,894,654,791,793,715,317,244,057,226,602,816,294,356,921,698,
567,853,532,453,017,830,081,717,982,892,466,788,850,163,597,587,103,152,882,
159,200,942,186,440,117,166,662,453,634,884,858,618,970,815,960,006,500,149,
349,298,824,194,080,474,567,834,831,842,205,134,934,500,314,398,213,236,605,
053,914,183,063,611,636,803,131,106,558,081,214,472,720,117,838,349,676,879,
839,752,624,989,362,019,716,161,097,326,824,224,535,682,617,825,699,513,422,
987,486,246,677,601,630,111,349,014,642,428,246,424,909,831,455,343,707,805,
418,351,470,489,794,425,723,611,666,884,955,625,119,189,652,281,596,640,439,
662,640,480,955,370,804,403,330,529,233,571,363,251,118,302,664,552,112,633,
845,859,622,169,007,485,655,737,647,329,933,827,413,038,399,595,776,954,410,
472,058,388,294,059,336,899,806,671,082,538,955,319,251,946,228,316,186,832,
384,738,278,150,068,997,479,337,933,247,743,549,307,544,670,099,519,105,058,
147,003,303,989,785,357,275,668,252,389,573,933,402,912,671,315,018,266,912,
740,722,981,138,815,562,850,491,833,729,854,864,851,556,010,421,654,981,349,
748,193,874,579,966,676,511,790,696,711,679,981,068,921,834,263,379,721,527,
514,797,199,461,975,395,786,064,767,708,099,054,014,493,333,765,195,853,952,
391,503,630,126,189,403,171,496,187,330,819,768,008,475,194,906,164,492,827,
276,423,571,792,298,937,769,833,158,720,668,940,395,907,871,994,078,994,208,
964,496,061,466,913,537,733,993,778,960,077,722,823,910,251,633,137,436,487,
488,344,280,570,486,079,402,706,741,104,168,945,275,985,263,211,232,067,223,
362,627,445,911,458,580,870,005,056,858,162,382,579,615,665,140,003,460,054,
338,427,640,758,839,031,675,264,022,194,800,801,731,858,643,296,453,583,178,
201,504,797,118,697,379,729,157,659,582,593,458,804,491,516,119,623,330,620,
598,204,887,338,732,210,336,804,798,553,445,008,542,412,419,240,562,689,032,
599,426,122,443,221,633,945,235,720,951,489,578,021,380,886,813,662,100,846,
737,177,651,463,818,891,328,473,477,994,603,603,553,985,109,347,462,602,978,
329,149,442,658,044,718,612,998,047,038,182,301,317,600,352,781,777,981,431,
740,566,686,625,650,595,930,303,806,349,673,930,328,267,333,871,495,822,181,
650,929,768,661,404,729,505,720,978,131,805,567,429,405,858,522,891,112,058,
180,392,210,822,413,055,073,886,866,736,559,581,003,112,742,437,880,166,223,
206,520,105,417,595,528,440,166,102,942,295,894,563,441,809,813,980,835,222,
625,354,353,773,372,001,076,625,508,201,027,285,603,313,751,777,374,975,248,
142,643,622,771,778,966,006,776,536,251,100,055,197,718,123,787,555,576,567,
565,274,320,308,683,749,547,664,041,377,188,989,881,262,085,972,465,403,978,
109,887,918,439,026,590,073,693,162,649,476,955,834,634,570,230,268,723,596,
235,700,854,336,355,200,680,640,911,109,182,976,406,792,711,047,857,239,328,
225,701,952,000,087,732,838,087,922,376,955,258,800,223,979,272,928,869,328,
012,743,331,700,853,326,103,799,171,498,666,759,206,842,146,177,981,895,071,
710,703,899,938,400,862,471,180,700,881,255,439,337,499,586,413,423,166,291,
391,739,365,653,415,888,003,875,608,536,381,977,642,103,656,549,780,736,492,
840,379,809,567,192,535,890,266,447,978,531,482,260,189,144,446,715,749,725,
330,249,481,446,605,653,133,192,043,879,769,326,924,742,611,259,688,808,346,
595,263,210,404,798,847,957,442,677,996,468,069,542,565,912,523,777,722,674,
514,138,632,818,930,748,377,559,385,671,121,528,208,940,819,263,949,992,255,
821,825,271,420,070,113,261,782,174,203,725,199,363,714,014,296,339,387,547,
889,779,000,349,968,717,875,537,103,627,987,880,087,514,535,566,872,509,277,
867,200,256,016,424,733,910,753,375,679,207,886,609,167,706,548,872,138,379,
667,514,227,733,422,523,955,756,629,010,490,135,939,658,762,809,605,886,972,
899,451,066,286,616,651,894,145,577,471,013,283,138,658,192,784,358,703,756,
827,241,353,651,179,340,731,961,702,742,175,897,853,396,885,117,570,763,461,
506,917,784,480,910,804,810,841,051,998,750,511,966,280,149,539,078,242,843,
376,446,858,153,018,121,737,604,424,205,780,322,844,601,140,120,577,804,986,
251,260,704,742,109,796,468,178,094,058,158,143,368,038,111,408,397,060,598,
206,077,435,954,274,412,431,326,376,316,930,667,189,677,297,677,313,325,754,
751,266,678,441,063,599,361,429,941,888,819,303,024,117,519,182,055,810,735,
742,514,620,769,388,556,475,283,961,149,117,566,524,558,741,799,935,981,469,
816,958,585,435,010,222,287,007,673,577,677,937,925,354,500,360,647,099,830,
799,828,462,307,379,032,573,778,233,824,341,614,308,695,697,975,466,542,997,
299,084,333,371,766,925,790,975,132,595,839,316,683,066,498,246,000,729,349,
784,379,837,846,520,877,970,315,613,469,638,220,831,128,690,038,002,386,228,
424,627,184,038,720,539,846,579,981,174,962,933,483,321,897,897,319,908,320,
394,433,274,076,982,246,693,742,806,142,118,898,551,237,066,835,308,892,309,
565,095,953,909,263,996,183,998,627,160,369,704,758,764,219,326,560,219,395,
589,166,121,273,097,950,938,612,478,747,673,454,881,429,348,406,122,931,376,
632,453,730,834,385,119,826,197,810,427,372,367,706,817,893,020,923,310,194,
609,111,099,150,278,201,200,177,663,596,114,093,554,072,629,205,593,995,653,
736,346,047,299,482,901,406,408,098,072,376,747,489,283,683,240,478,669,220,
983,586,344,247,564,552,712,938,905,215,252,700,141,240,761,677,100,002,561,
384,435,495,556,221,172,380,594,085,251,744,417,126,515,503,657,879,598,082,
714,414,077,977,833,401,537,403,012,874,300,855,969,478,490,929,469,495,170,
993,880,915,758,324,510,184,991,459,769,362,934,724,118,856,033,629,461,933,
821,454,830,135,605,165,781,501,080,506,882,264,185,075,344,432,185,587,754,
554,034,670,612,538,195,249,854,912,570,854,471,408,268,593,681,231,005,444,
833,897,027,537,659,817,414,697,511,794,175,417,055,809,926,173,664,969,168,
114,842,379,151,194,566,482,994,089,571,511,891,424,121,352,001,568,923,507,
706,468,568,367,388,338,432,929,570,340,392,953,625,528,041,471,139,246,884,
356,795,030,497,137,945,052,216,464,289,645,823,302,747,225,833,042,658,137,
548,905,779,516,249,449,851,690,235,223,016,853,631,802,043,482,185,468,214,
754,755,689,567,145,257,604,448,434,714,275,357,284,565,149,279,107,717,178,
739,050,604,830,281,303,984,786,852,847,536,799,310,765,947,263,572,148,529,
304,325,999,869,885,442,081,021,345,173,138,434,363,374,889,564,008,241,482,
510,795,609,724,210,426,890,124,812,080,392,026,312,520,591,686,207,845,931,
129,964,298,551,085,267,146,265,607,081,544,755,173,407,979,431,504,812,541,
727,760,016,847,791,722,622,542,376,515,331,068,290,758,646,952,900,745,494,
164,959,228,072,025,624,644,483,279,301,679,222,223,295,943,294,918,706,260,
686,382,575,275,883,510,964,102,231,384,349,171,605,253,435,143,071,416,630,
193,618,904,887,644,944,509,125,640,215,390,963,577,581,941,362,946,840,408,
858,455,527,287,687,545,210,270,401,819,710,890,517,065,654,672,974,131,452,
250,306,842,036,303,170,580,566,065,505,925,368,302,790,384,320,030,636,281,
659,036,589,005,666,584,736,155,610,576,133,362,170,074,758,175,601,908,558,
741,686,223,023,721,540,470,585,274,624,360,962,581,447,718,855,947,213,841,
472,390,022,467,357,091,724,052,126,193,427,624,690,177,360,722,155,607,401,
659,214,727,805,632,481,821,731,896,436,665,825,953,371,458,253,155,713,075,
564,743,544,073,032,207,941,723,322,775,169,238,160,643,964,815,212,257,852,
095,283,260,253,239,631,204,078,352,459,759,430,619,922,604,185,557,334,774,
534,867,399,558,839,480,369,921,309,436,521,721,248,701,911,573,390,288,011,
949,416,195,959,758,384,325,749,092,612,692,196,408,107,462,376,667,340,943,
133,841,610,274,199,287,720,143,847,390,231,670,024,275,116,150,735,277,476,
622,863,601,659,754,798,507,708,018,857,014,767,090,242,227,232,979,384,729,
908,409,460,887,404,154,918,483,356,442,700,791,791,766,066,793,827,960,025,
678,062,979,938,239,264,771,110,380,473,618,050,247,337,654,130,209,113,967,
839,852,565,119,807,755,652,617,846,990,316,170,688,538,724,147,338,670,031,
325,770,748,075,070,577,442,632,025,305,127,746,867,357,454,534,335,676,644,
555,654,625,028,049,346,856,454,330,309,606,396,309,481,314,272,219,904,053,
788,718,757,643,573,059,995,619,698,180,181,326,253,068,407,950,715,830,804,
826,238,063,251,332,925,466,724,845,107,031,740,327,886,830,193,440,736,174,
332,279,422,254,201,791,960,568,806,672,002,440,600,844,711,429,887,617,066,
652,506,644,977,752,957,670,347,658,649,505,703,182,685,867,742,568,887,017,
305,890,285,368,328,826,252,622,420,044,031,517,578,859,614,333,416,474,153,
812,213,353,020,531,688,722,517,987,008,656,974,932,269,829,750,759,233,310,
511,474,515,797,690,320,597,120,714,440,193,627,434,985,139,721,599,789,907,
223,626,214,562,405,712,712,569,292,893,436,218,196,927,267,802,412,891,509,
695,192,684,186,228,538,731,098,604,095,699,112,395,722,903,126,391,131,109,
331,774,219,351,895,114,027,283,746,614,372,585,126,173,437,912,126,073,120,
340,841,445,055,835,121,032,061,758,251,918,815,733,796,071,778,695,710,976,
915,362,690,359,311,673,801,791,211,082,933,347,830,347,527,910,159,175,006,
026,005,803,754,020,642,600,256,281,144,444,422,317,253,001,010,265,112,599,
604,079,058,076,469,947,117,419,295,376,218,129,477,119,037,183,053,642,506,
611,453,974,330,165,792,763,205,849,895,511,630,238,144,061,226,686,084,272,
775,287,039,037,667,027,172,295,007,079,355,824,742,465,217,188,208,202,884,
276,434,735,521,793,991,355,060,810,775,610,228,726,150,788,278,959,922,691,
821,866,307,575,002,551,007,050,992,507,570,700,637,241,724,023,244,429,826,
975,192,068,356,375,523,875,974,546,830,697,961,073,384,144,950,496,654,663,
177,494,156,136,482,349,459,814,649,906,898,734,231,223,850,962,601,594,811,
377,313,930,971,278,114,617,571,554,458,656,748,146,534,873,632,437,426,287,
461,815,284,662,494,463,358,955,545,453,739,921,848,305,245,576,721,768,522,
847,867,918,574,294,258,641,001,834,360,281,837,627,075,774,658,664,871,505,
357,129,204,156,928,302,554,959,675,058,103,127,476,064,504,455,988,822,440,
174,111,418,404,245,357,345,427,724,448,269,971,765,133,257,426,999,637,759,
020,262,360,292,879,369,418,347,665,895,937,389,027,337,556,876,065,874,097,
956,420,183,424,558,734,334,020,672,999,584,947,047,312,141,117,188,891,738,
233,856,379,419,052,972,601,419,693,072,318,840,172,555,616,284,509,303,245,
467,986,042,735,501,248,556,587,328,699,962,703,754,605,938,227,000,532,546,
482,111,743,483,279,217,439,975,646,140,792,018,681,359,900,534,546,131,375,
801,155,297,761,453,023,455,338,877,888,647,935,710,851,227,087,404,069,025,
973,858,785,872,110,550,740,370,298,116,834,086,534,552,938,383,113,294,758,
987,027,111,924,776,357,942,028,311,505,205,312,149,714,815,508,956,471,617,
253,347,284,597,507,884,377,776,205,659,948,745,194,718,244,079,812,527,914,
571,404,127,170,399,317,287,377,504,785,575,293,599,237,446,934,123,163,914,
402,616,645,999,586,468,140,454,006,138,824,082,365,694,974,156,559,600,378,
970,959,589,213,476,770,081,889,259,135,805,357,483,580,497,003,695,179,046,
937,347,447,084,385,307,903,395,274,373,004,285,100,841,534,617,292,724,043,
116,970,439,322,629,597,955,913,269,364,105,107,541,244,084,460,132,519,817,
060,754,756,857,116,472,738,189,096,650,856,895,826,969,702,669,307,510,861,
782,645,225,705,745,395,553,392,415,244,970,259,366,774,738,090,741,000,799,
763,075,668,202,348,216,153,086,959,501,538,102,266,951,289,947,055,838,427,
919,936,560,174,149,179,029,227,861,563,838,865,414,309,524,088,358,993,011,
902,566,333,645,997,877,256,850,755,353,046,232,163,665,196,565,624,155,267,
444,405,933,031,216,976,788,594,507,993,115,493,424,779,283,312,091,447,128,
962,445,922,971,043,863,223,491,359,236,852,654,860,711,132,212,531,968,098,
715,964,121,797,496,808,872,695,198,407,070,226,559,648,472,493,781,336,607,
052,769,605,077,078,884,965,193,813,262,605,950,297,379,525,732,316,468,629,
198,299,171,771,337,869,409,246,676,196,312,451,646,707,424,307,540,705,110,
362,419,388,138,720,958,524,096,119,399,680,799,435,198,678,655,282,976,614,
101,652,337,605,101,483,118,531,216,162,189,813,134,758,885,068,620,810,299,
967,144,452,634,316,070,964,789,239,960,972,363,992,522,416,753,217,491,555,
413,012,679,099,008,473,118,024,740,443,712,992,947,696,909,573,271,871,247,
974,666,099,578,012,671,448,610,145,484,123,681,921,548,969,003,803,127,450,
417,532,884,923,620,217,342,851,211,709,087,667,573,866,441,033,751,495,377,
440,052,071,989,667,314,762,962,049,902,741,876,023,033,498,941,849,718,405,
851,564,018,346,882,186,862,355,950,009,984,342,048,516,505,334,015,899,551,
202,064,041,572,460,208,424,203,219,493,818,919,119,110,149,383,151,803,189,
793,208,227,124,291,273,468,853,125,611,979,836,573,884,996,666,889,953,174,
898,908,105,648,990,585,053,101,483,153,757,035,242,457,389,462,224,901,998,
325,638,942,139,885,247,814,793,965,087,912,681,668,669,009,498,950,603,514,
978,130,097,072,312,867,411,757,652,194,591,177,422,561,099,409,205,130,783,
376,609,770,327,006,768,111,607,793,671,867,241,122,601,375,593,881,578,200,
572,255,317,201,689,475,962,032,992,241,053,037,887,922,669,105,196,088,095,
957,110,087,080,878,028,946,498,471,521,331,102,851,673,270,978,050,869,672,
215,800,091,858,508,605,952,189,808,853,104,554,274,754,328,450,979,931,897,
149,749,491,411,323,433,802,892,920,184,019,608,417,417,506,512,751,007,559,
217,733,663,255,948,307,810,838,763,782,759,345,627,296,598,026,396,594,080,
206,855,066,991,196,184,023,682,313,167,349,872,185,728,968,648,291,041,492,
531,708,118,674,679,780,036,152,548,759,862,634,261,303,042,090,189,076,652,
601,020,108,619,332,841,965,034,831,388,755,190,256,293,713,228,828,703,886,
546,031,874,408,502,146,816,891,358,818,193,875,564,616,868,481,941,687,855,
978,466,083,774,884,099,726,553,936,535,202,093,496,659,586,285,220,376,993,
982,685,928,740,525,758,421,155,513,316,945,394,608,719,855,387,915,501,804,
975,352,372,781,491,321,301,855,226,850,619,855,997,774,055,687,445,879,379,
905,859,978,116,531,005,555,415,639,881,885,071,305,651,185,835,597,944,479,
420,103,905,241,801,576,950,078,578,622,443,626,825,228,868,665,684,333,386,
268,087,249,780,696,710,394,088,318,687,386,040,753,848,631,777,994,418,458,
306,796,690,962,660,983,172,572,551,161,602,135,897,362,333,512,427,260,352,
894,783,829,733,133,196,888,457,709,324,822,477,438,935,172,414,714,780,991,
784,605,479,609,588,702,647,773,997,325,693,985,721,706,081,057,479,595,594,
687,991,469,276,332,258,963,697,607,433,248,015,679,350,094,169,804,188,516,
810,788,182,570,676,599,399,249,096,607,904,953,321,184,534,463,453,710,752,
943,799,874,530,887,231,737,847,525,024,002,855,377,382,481,066,222,685,156,
678,514,029,441,756,961,399,270,432,027,294,201,057,475,860,244,503,477,743,
157,019,598,764,843,031,167,062,365,292,304,714,466,410,631,522,405,507,546,
386,981,289,826,814,045,527,824,905,390,658,711,764,914,427,928,043,514,150,
931,764,079,557,592,544,645,504,721,224,888,693,604,580,224,508,945,618,727,
612,516,253,631,885,807,588,828,177,320,015,243,419,430,683,487,988,184,149,
978,741,321,836,124,906,072,245,010,042,235,236,735,201,350,248,652,059,145,
151,558,886,606,696,833,781,554,075,723,165,580,148,297,412,692,045,330,204,
958,951,072,135,953,075,466,690,739,009,991,124,540,883,904,815,381,907,871,
049,180,427,214,612,537,519,470,174,149,777,068,377,363,503,810,862,155,063,
585,653,621,529,066,715,566,047,098,351,482,997,531,846,478,333,340,445,090,
177,916,575,134,309,008,825,050,064,202,038,941,317,352,932,155,146,290,385,
406,479,028,672,917,317,655,270,858,729,317,823,927,454,605,504,298,264,393,
590,315,619,630,047,080,826,851,079,717,631,196,920,195,437,724,996,028,402,
114,549,804,819,075,623,574,839,405,646,329,957,698,201,011,018,091,935,327,
298,757,127,275,488,680,157,666,842,111,628,857,117,315,756,633,754,647,344,
268,696,003,840,919,062,708,999,559,259,398,527,727,876,270,925,265,682,548,
107,677,974,931,929,074,035,672,437,727,791,373,058,931,025,554,671,824,802,
754,086,768,904,901,006,884,744,848,707,856,004,686,625,640,234,262,051,185,
504,134,519,606,067,377,278,260,906,196,020,931,969,840,204,323,382,842,839,
472,733,544,607,644,594,245,256,583,125,348,866,880,615,435,568,095,842,368,
847,929,084,540,045,366,913,506,793,758,420,999,096,279,010,128,754,028,746,
440,521,593,715,236,286,656,683,932,248,345,096,098,657,505,310,047,107,628,
989,990,522,731,734,480,848,383,289,462,826,113,924,027,232,685,959,377,365,
390,256,055,131,177,213,501,539,845,226,640,667,873,389,732,360,931,033,470,
916,552,806,588,279,745,349,002,614,463,474,698,321,759,441,682,959,873,089,
525,624,331,744,094,470,642,994,866,093,300,147,926,365,539,710,527,766,268,
290,138,823,716,270,814,586,776,154,007,249,793,611,324,631,515,867,949,896,
675,583,573,611,140,442,516,405,196,501,921,912,654,935,225,014,773,997,819,
140,600,361,820,563,920,055,062,987,249,716,404,841,864,131,127,314,142,299,
334,820,469,688,980,329,736,971,726,453,974,471,453,491,817,593,300,411,093,
848,453,886,746,079,352,488,502,973,758,298,385,287,457,202,504,629,050,360,
687,461,874,710,628,501,352,664,038,168,335,261,286,308,946,592,466,382,498,
851,051,804,368,385,075,746,952,193,965,283,173,102,383,406,344,799,966,664,
860,126,620,853,225,354,920,704,399,466,583,573,332,937,592,034,152,713,355,
054,214,674,119,048,677,132,822,140,428,919,185,643,353,669,990,734,963,333,
746,166,419,985,190,903,386,214,349,797,074,729,829,831,398,889,324,394,189,
945,136,398,157,922,040,068,221,383,283,489,888,893,187,204,153,593,289,645,
203,679,227,687,469,239,016,854,734,236,647,771,257,218,974,948,936,562,842,
022,646,573,180,528,631,610,895,844,554,774,029,801,427,048,605,210,779,922,
309,559,691,736,103,064,434,571,942,931,833,490,393,761,949,798,077,505,602,
963,409,554,977,087,800,643,093,522,651,521,285,125,941,157,510,576,333,520,
174,253,630,774,121,023,206,045,135,121,276,258,561,729,279,932,068,095,643,
557,702,793,093,333,900,707,588,898,353,674,067,904,866,786,523,116,462,901,
510,867,661,525,595,539,193,257,711,510,188,195,040,414,083,314,102,879,786,
305,028,052,518,368,512,637,885,928,742,184,325,431,325,986,953,332,653,677,
693,813,024,778,236,100,739,923,585,928,617,587,255,292,096,186,743,396,775,
249,776,925,782,258,357,492,862,262,693,477,660,453,749,163,662,391,490,546,
323,952,090,217,513,540,208,711,117,543,838,419,378,084,096,264,222,974,608,
107,011,252,361,779,867,519,906,648,689,940,862,886,565,388,405,880,683,013,
564,766,073,500,361,701,720,501,604,136,787,178,866,546,404,343,453,296,486,
671,452,872,349,083,233,394,988,542,710,278,225,565,471,425,185,260,682,131,
216,525,720,584,849,697,582,837,028,000,941,757,478,586,083,612,902,864,773,
755,845,286,017,478,361,612,527,837,448,113,262,587,620,591,572,080,667,295,
390,654,111,953,508,009,149,901,917,119,650,748,806,584,315,423,378,116,395,
193,759,488,430,038,757,396,580,957,681,595,961,961,058,362,672,496,569,003,
644,527,644,718,584,357,828,788,715,229,315,548,330,324,175,299,247,517,043,
236,714,512,370,848,854,070,716,845,359,784,750,121,397,590,280,475,688,886,
093,668,082,915,330,109,455,849,315,102,706,850,604,694,454,145,111,959,549,
801,443,366,308,884,400,663,585,312,267,454,003,863,875,425,971,035,807,718,
728,258,075,183,410,236,968,435,560,637,432,107,523,789,268,924,837,846,969,
990,021,435,001,454,382,799,903,006,023,363,896,183,756,080,362,666,614,674,
244,487,987,852,102,593,307,486,929,223,948,487,150,725,002,728,245,881,779,
022,397,590,133,235,948,719,275,617,819,256,645,030,015,967,233,475,329,311,
497,507,833,837,830,703,441,589,376,536,999,174,206,689,036,966,440,345,285,
422,457,560,131,248,611,004,559,326,114,328,004,133,924,643,465,823,905,225,
682,170,334,842,847,739,393,116,802,295,201,178,357,147,416,817,618,743,406,
086,778,753,905,816,602,852,084,228,769,736,278,439,248,866,735,685,771,370,
280,499,177,073,406,160,076,843,276,048,798,007,153,355,673,930,463,882,276,
059,744,449,477,938,648,166,601,516,502,772,527,101,094,780,395,589,992,047,
083,534,735,350,400,685,657,687,811,936,282,850,017,554,580,100,578,964,997,
539,407,296,809,771,853,061,784,050,862,780,028,649,775,504,028,721,998,017,
194,612,200,806,317,970,948,841,662,394,701,504,417,057,446,736,130,617,488,
621,312,260,141,208,059,373,189,634,983,109,360,410,246,731,736,800,664,007,
357,327,897,362,896,122,322,688,022,779,689,939,115,848,634,213,018,368,144,
281,500,543,478,023,440,479,259,734,524,120,537,810,445,666,320,889,978,398,
316,088,623,007,610,709,493,561,549,576,267,364,928,926,683,296,967,318,815,
998,292,568,284,228,145,117,620,041,538,259,979,704,904,131,542,374,107,269,
252,298,608,667,995,429,892,137,990,281,940,451,537,793,798,787,227,762,463,
068,782,760,459,159,270,540,833,604,069,817,312,691,608,926,298,863,996,581,
872,963,863,851,509,004,575,055,713,342,372,433,780,782,547,632,328,857,270,
943,147,344,585,930,408,169,901,683,963,856,294,900,166,037,188,114,335,763,
260,014,836,127,717,803,829,381,281,551,866,201,267,781,899,570,501,576,074,
657,920,361,034,567,025,480,438,576,525,286,267,823,217,389,984,498,209,712,
026,283,739,221,277,566,843,912,306,277,892,798,130,446,912,583,286,179,051,
681,677,927,229,744,700,642,057,457,805,100,196,127,926,878,982,654,553,524,
170,316,510,574,679,205,767,272,712,487,425,611,632,186,663,134,110,926,703,
728,959,167,865,378,482,531,481,579,119,740,000,755,271,827,335,626,474,729,
521,607,109,157,769,935,369,846,322,801,359,402,044,423,872,546,516,202,119,
158,436,124,901,645,955,677,467,426,547,295,465,957,753,666,053,455,295,990,
512,374,721,593,659,001,675,266,423,127,388,961,735,507,744,037,136,752,079,
632,484,280,703,773,255,175,775,970,887,491,539,610,473,311,436,542,808,411,
403,994,547,612,862,792,616,561,023,078,449,706,984,595,040,549,503,438,438,
609,121,174,245,571,577,502,426,730,886,852,384,025,078,889,299,303,121,196,
234,697,574,662,020,495,478,706,872,728,795,336,536,844,026,352,142,371,174,
408,058,056,730,591,795,965,665,704,319,608,489,582,903,195,903,181,158,391,
385,843,126,946,377,092,198,812,089,327,664,383,977,851,663,572,269,987,910,
118,840,351,250,980,452,716,178,921,989,411,163,445,203,925,420,684,446,440,
308,572,316,366,478,602,645,489,894,646,927,129,402,830,225,813,120,588,180,
413,103,304,666,863,423,843,927,774,588,249,710,508,894,812,159,849,980,204,
282,193,249,417,703,236,137,165,611,891,321,924,833,796,538,307,236,451,286,
107,664,116,290,632,659,130,112,842,609,878,130,383,092,638,747,574,024,083,
432,622,295,527,513,537,781,359,649,982,227,046,723,401,275,884,614,116,729,
913,848,878,776,782,212,224,999,594,923,035,796,721,281,742,276,172,064,990,
270,140,003,625,524,873,154,561,161,915,484,511,131,549,388,191,998,690,114,
750,967,497,802,081,750,974,291,393,159,238,727,813,469,978,504,312,282,379,
804,708,998,465,081,840,628,397,047,966,521,749,055,883,362,535,968,436,214,
199,774,145,403,788,456,421,372,338,856,916,251,097,189,811,548,435,796,478,
645,178,687,895,367,842,443,210,300,868,733,239,743,758,618,201,911,840,187,
704,083,374,055,085,764,446,408,340,640,926,561,850,537,592,796,557,331,743,
775,257,012,173,868,070,585,256,829,426,294,733,498,617,907,961,856,646,980,
912,825,621,164,913,585,196,183,635,284,553,764,682,638,116,534,015,648,843,
891,974,523,065,666,118,807,783,173,985,980,012,353,341,914,991,481,098,995,
065,951,393,201,825,783,227,047,097,320,867,972,614,256,088,511,608,736,295,
620,736,534,706,067,653,989,828,388,019,534,930,700,844,460,791,262,403,604,
399,882,963,626,656,198,505,452,474,029,282,527,404,848,482,526,288,852,148,
602,966,637,515,218,005,195,641,781,099,261,851,079,929,651,279,730,697,509,
960,975,424,325,465,103,164,278,382,871,211,684,174,303,662,756,828,218,455,
992,257,841,122,984,210,322,631,538,491,680,620,923,358,807,176,835,810,578,
414,794,875,110,830,697,428,698,256,105,212,453,554,489,934,602,360,006,599,
125,393,857,428,443,468,668,822,466,048,461,442,157,540,346,841,219,209,616,
795,437,888,383,393,853,173,044,895,839,591,500,539,650,922,015,058,364,642,
976,912,076,929,485,692,508,391,753,721,941,975,839,091,440,683,589,369,684,
057,935,604,336,451,994,727,169,761,429,859,254,698,949,311,352,119,004,131,
830,815,016,206,710,728,632,631,828,950,614,699,531,141,065,364,813,851,559,
059,669,542,074,691,511,449,041,549,237,555,389,092,814,751,536,664,132,521,
269,597,801,161,526,479,098,026,951,471,214,009,068,407,606,133,059,943,952,
839,023,931,610,903,388,451,656,760,887,419,130,587,016,473,935,341,867,643,
170,964,647,302,776,195,469,844,436,939,771,183,672,278,720,222,790,966,373,
037,858,660,174,437,098,009,421,856,580,531,573,979,325,891,212,997,320,723,
834,286,104,022,763,929,981,852,452,815,607,407,674,195,153,323,909,798,783,
527,918,652,537,193,447,229,186,845,562,916,801,599,907,300,029,711,365,486,
236,774,735,423,815,517,018,050,901,356,287,556,654,710,667,080,052,145,541,
079,481,951,559,686,637,361,423,552,429,863,910,733,687,448,885,325,844,242,
347,119,657,225,917,553,288,275,805,683,359,090,386,791,370,266,059,403,092,
575,916,746,286,558,725,613,148,119,137,930,313,448,361,345,484,367,100,013,
928,134,232,277,424,879,423,915,399,610,810,742,796,670,900,114,399,606,266,
237,370,436,565,957,953,751,425,547,280,465,812,024,980,945,888,731,063,273,
174,025,032,159,746,466,625,710,291,338,360,919,425,018,730,407,391,570,357,
485,417,744,561,721,978,550,895,608,861,942,996,268,955,674,659,869,229,273,
246,124,075,531,991,470,829,930,472,920,193,395,714,102,543,681,922,524,894,
848,793,669,030,564,793,372,467,583,132,720,774,715,467,291,078,339,575,412,
549,634,837,116,267,947,805,787,338,255,468,265,022,356,933,284,042,558,727,
843,621,827,743,421,003,835,654,403,680,898,104,621,484,745,220,983,203,844,
210,833,437,294,841,043,592,638,632,904,421,813,829,602,484,504,742,752,814,
818,695,581,867,972,857,751,281,409,513,123,138,401,235,330,367,056,069,243,
798,410,629,000,253,606,145,599,294,722,960,724,654,406,586,256,180,529,583,
847,332,917,169,883,220,108,498,155,618,932,192,762,215,731,052,833,479,447,
753,969,404,244,612,534,485,598,496,425,694,920,062,645,265,201,538,301,727,
103,877,547,029,803,792,700,293,235,953,309,929,325,450,569,042,301,335,806,
914,283,997,490,207,854,840,916,249,438,548,427,328,308,152,477,611,152,672,
445,233,309,834,540,019,568,290,421,603,020,446,383,768,526,195,050,073,949,
061,961,691,738,796,065,550,589,257,384,821,509,502,043,207,093,206,064,834,
765,434,963,134,592,444,902,208,675,358,098,122,613,507,191,612,377,388,588,
213,203,583,865,698,208,814,802,988,899,506,841,914,756,848,857,847,421,434,
655,564,111,633,934,618,141,066,852,531,727,971,229,865,221,862,228,835,537,
720,736,588,927,894,494,175,364,701,984,415,127,284,944,461,383,912,077,355,
542,255,744,118,230,729,448,479,288,219,145,772,303,306,793,367,383,466,345,
883,507,593,246,809,764,359,118,834,876,014,816,926,494,478,657,510,039,882,
732,417,586,996,188,838,186,974,379,787,231,058,046,321,447,828,624,290,352,
431,591,178,996,061,847,881,211,677,636,092,145,857,212,117,131,530,803,730,
735,977,752,730,558,726,622,521,070,979,656,309,166,538,570,974,474,303,268,
805,512,945,160,387,074,511,197,207,614,938,392,683,549,331,493,876,125,447,
712,847,173,494,509,012,295,441,879,909,003,420,522,938,013,719,828,332,025,
801,054,345,775,456,954,201,300,883,951,793,515,511,728,245,786,156,290,486,
754,878,862,292,270,752,786,314,986,893,634,748,143,180,237,669,754,912,835,
190,752,540,196,901,756,303,517,044,918,571,830,069,786,126,093,793,839,330,
192,871,913,210,867,137,703,660,693,951,842,060,683,942,070,719,088,548,639,
880,466,562,748,920,486,830,231,650,937,854,954,359,930,716,826,747,679,070,
273,776,636,644,918,878,553,170,964,641,879,238,153,114,081,185,553,643,682,
314,720,775,787,761,366,626,417,237,834,656,376,213,107,551,525,331,157,012,
404,666,542,840,990,026,295,304,817,315,772,525,983,649,248,847,406,389,051,
758,367,808,229,541,446,835,732,232,141,656,416,390,174,773,818,472,442,733,
216,774,050,017,736,723,121,946,094,375,510,090,591,155,210,067,735,272,462,
889,512,497,667,337,648,582,986,100,337,424,435,375,331,406,027,331,616,841,
081,596,686,155,884,015,264,517,633,338,417,970,797,108,940,537,214,390,380,
346,412,453,942,793,041,220,864,801,955,786,245,790,003,392,974,593,274,347,
484,675,914,346,749,122,047,938,737,278,739,321,557,128,642,018,226,050,133,
172,924,862,490,476,406,428,545,790,570,891,740,609,195,019,128,754,608,971,
681,892,076,649,308,787,311,390,872,137,175,732,012,207,808,252,513,509,422,
248,251,322,265,219,792,608,223,746,553,562,032,810,789,019,293,197,679,514,
638,545,260,520,852,987,650,781,080,812,841,710,212,654,524,114,815,569,533,
601,235,862,994,443,692,647,829,901,884,092,325,523,223,620,564,046,844,777,
128,007,211,128,879,132,912,386,118,453,402,471,337,723,249,651,502,156,396,
166,267,212,059,220,833,904,515,703,013,337,263,551,395,535,061,314,781,935,
184,588,176,392,643,196,707,632,891,806,294,588,467,397,066,740,836,664,196,
296,407,251,291,074,060,664,178,088,789,950,510,101,675,816,170,078,241,121,
958,665,670,016,579,229,756,518,058,989,732,414,419,495,607,675,870,272,208,
892,821,680,801,595,698,907,216,467,986,281,324,314,896,706,883,211,974,354,
139,516,421,033,636,317,205,545,269,116,607,818,388,142,796,897,475,843,644,
598,825,389,792,947,842,129,650,773,465,200,073,391,095,963,194,349,389,298,
175,635,446,503,857,094,785,357,931,093,038,626,881,303,124,055,329,438,130,
104,398,978,188,410,342,544,886,717,960,220,910,122,975,881,591,511,803,331,
607,112,550,103,364,123,771,899,600,747,267,743,259,944,967,195,848,141,665,
249,238,162,992,828,305,223,332,322,521,643,509,732,157,720,623,006,701,410,
502,875,449,038,130,168,917,340,034,567,905,483,995,462,412,886,194,423,980,
997,037,729,458,658,438,737,544,068,665,323,874,629,688,257,314,807,175,781,
273,155,735,777,824,213,224,318,673,327,464,778,755,956,683,115,198,487,399,
872,690,968,493,338,261,904,681,200,199,469,059,454,635,150,665,389,761,492,
018,764,084,282,213,821,835,558,874,217,609,720,914,749,480,647,658,194,511,
449,081,514,011,712,726,037,461,150,179,743,034,749,634,871,528,416,274,519,
655,754,952,636,178,641,750,319,858,307,123,536,595,678,962,632,490,885,998,
212,276,757,341,750,149,206,348,205,346,745,006,332,174,341,945,595,045,206,
968,889,777,799,665,491,438,872,215,959,609,502,624,122,145,984,833,468,906,
503,220,961,863,821,454,754,381,715,541,172,468,599,963,769,409,087,497,184,
893,768,981,840,071,400,939,271,861,601,125,476,860,440,190,924,215,182,602,
251,113,731,203,744,559,603,698,180,616,374,336,200,737,990,785,177,176,990,
781,407,203,282,233,991,314,559,253,381,646,694,823,493,495,043,320,988,685,
238,874,712,980,120,618,359,261,512,807,106,616,491,941,280,361,078,706,347,
819,887,657,257,373,164,840,928,738,157,159,558,576,556,502,710,748,997,203,
372,942,392,012,599,836,592,663,813,052,465,866,354,828,587,332,091,616,676,
866,429,388,797,327,684,345,605,201,738,582,479,798,843,254,472,827,597,459,
004,064,188,124,630,727,532,753,495,225,211,209,937,012,905,558,526,324,561,
742,776,227,446,480,105,649,727,740,379,771,821,195,746,335,373,564,957,974,
168,243,165,038,090,270,030,667,001,750,646,904,262,351,388,675,779,357,607,
232,029,467,131,450,327,097,837,565,672,045,271,932,152,342,715,799,123,889,
526,301,002,242,253,865,003,561,654,345,311,752,421,213,079,985,865,722,957,
124,899,983,248,708,264,773,229,371,294,264,484,372,759,648,069,242,074,988,
097,686,449,752,227,458,266,507,214,226,175,830,346,415,301,357,233,400,276,
515,392,333,296,811,007,448,896,626,852,381,687,333,693,608,630,991,847,654,
918,593,033,948,816,866,101,135,354,299,770,910,052,407,028,077,755,328,413,
023,012,141,230,684,053,432,529,226,362,841,943,235,329,210,750,148,668,455,
333,593,042,052,342,389,455,468,506,150,651,333,172,398,755,879,303,182,507,
417,355,549,225,338,909,285,432,801,603,117,002,417,930,881,779,633,710,213,
450,404,722,095,446,521,074,480,167,676,594,437,653,413,661,522,502,905,654,
141,863,834,945,525,823,995,856,191,177,148,505,049,095,486,015,928,874,490,
513,259,421,855,545,231,570,922,750,286,136,786,087,341,188,904,147,445,301,
095,093,454,330,117,557,470,866,052,943,408,671,596,082,917,311,703,391,037,
231,642,352,201,727,954,952,664,413,535,895,468,163,983,875,707,753,151,221,
211,910,544,743,815,920,184,901,094,228,854,938,631,206,575,119,130,156,680,
980,152,700,493,131,295,800,248,629,864,678,024,886,572,496,422,189,459,412,
485,983,214,891,405,804,397,169,456,351,892,725,776,182,165,352,348,984,058,
330,085,774,695,489,504,026,992,725,546,732,301,009,074,098,292,126,202,469,
326,199,554,071,675,663,989,043,937,493,230,903,832,650,276,534,168,673,201,
917,929,836,977,933,636,353,513,725,811,057,828,505,931,359,275,700,856,800,
133,765,773,284,547,831,952,320,069,119,125,575,246,807,238,906,412,978,944,
926,778,254,424,913,660,751,493,081,205,445,701,367,359,855,581,055,114,841,
693,291,103,026,097,453,337,301,958,347,208,508,995,404,670,401,879,717,903,
566,156,764,816,093,428,235,202,647,538,056,045,856,547,492,871,887,003,704,
691,527,212,532,351,754,844,577,305,888,878,031,716,465,838,801,065,828,057,
590,021,256,529,150,711,010,117,201,015,704,583,142,142,512,444,850,086,368,
371,464,804,329,407,377,297,085,290,900,468,824,791,800,097,340,621,342,250,
155,380,477,989,029,913,122,316,862,035,924,557,384,934,346,000,591,806,079,
407,396,815,224,467,384,616,564,500,810,089,196,018,296,368,690,940,764,273,
084,304,030,233,105,821,870,099,415,070,304,927,505,053,415,562,352,163,394,
086,431,033,348,447,240,511,690,927,767,733,695,368,445,030,014,969,297,038,
263,614,558,021,566,644,425,936,184,513,313,838,290,114,676,605,230,246,988,
140,108,147,066,165,776,967,874,261,414,242,124,772,309,208,950,002,768,187,
068,217,637,292,321,026,941,391,408,425,354,610,176,534,198,371,729,238,739,
571,992,047,017,629,236,143,748,034,225,765,978,532,113,615,994,233,921,146,
028,021,053,243,012,086,386,784,124,397,836,273,483,187,448,054,352,803,030,
567,421,913,581,695,773,733,686,920,497,652,081,925,563,505,198,115,459,250,
943,880,892,952,532,838,307,495,069,764,211,723,652,069,918,977,502,386,648,
593,373,353,569,857,003,110,472,655,436,993,126,375,917,461,169,633,071,464,
770,867,894,518,877,595,822,592,538,395,057,034,121,943,895,964,204,427,639,
126,031,334,579,236,571,087,894,121,855,256,611,134,106,587,648,909,817,560,
050,455,066,161,362,953,458,976,429,708,081,885,448,454,062,611,483,830,325,
459,511,452,745,192,559,703,252,452,219,606,593,368,629,414,305,378,534,407,
554,214,957,259,327,464,143,125,680,223,905,992,652,210,452,200,858,425,606,
653,899,984,652,936,768,822,844,754,014,075,264,949,755,976,919,036,323,280,
276,447,559,500,036,967,075,010,137,239,592,850,793,638,232,505,879,096,435,
400,745,596,353,115,439,498,279,356,447,884,903,109,769,756,041,606,906,480,
688,928,945,065,166,677,032,718,713,656,968,408,076,204,828,584,142,960,284,
070,731,089,675,693,839,646,478,460,241,567,393,925,149,343,929,356,398,152,
971,509,281,487,436,866,970,181,291,065,410,655,256,397,697,844,344,367,142,
071,314,929,240,805,206,616,575,809,325,074,072,004,337,914,412,272,136,682,
354,706,135,933,236,224,306,518,329,419,089,931,018,806,960,274,142,815,182,
208,575,467,180,319,989,704,047,583,390,958,046,814,390,810,726,615,633,640,
906,939,167,475,164,667,596,008,679,866,798,478,636,536,376,586,890,745,322,
818,194,808,467,678,414,245,356,241,188,060,126,621,464,356,229,775,870,120,
521,951,839,569,591,970,095,299,083,168,190,625,221,658,933,838,465,179,801,
122,706,927,737,844,143,956,287,777,474,384,277,926,165,158,392,798,432,058,
725,969,738,180,137,966,147,199,459,956,318,855,070,009,997,572,999,629,711,
461,244,611,805,021,352,712,065,504,342,485,437,119,613,690,911,587,272,277,
452,050,487,875,969,010,266,942,302,630,459,477,115,170,312,761,455,992,166,
211,712,215,609,334,886,617,318,087,810,024,221,628,596,870,861,406,347,583,
507,568,771,564,730,628,284,047,386,412,341,675,280,123,703,841,662,777,915,
671,063,905,462,389,620,106,541,822,584,103,334,355,519,435,114,455,175,329,
624,414,798,018,111,483,153,435,169,860,601,931,177,035,445,774,391,149,434,
619,695,797,226,863,430,538,646,627,001,684,332,943,949,677,946,674,068,117,
407,626,723,398,876,747,483,053,658,216,670,024,537,139,287,992,627,760,722,
723,221,396,027,903,605,826,680,729,673,474,767,312,195,614,147,129,534,575,
918,730,248,619,303,076,204,763,103,077,235,247,643,746,661,662,052,871,898,
856,332,873,236,936,387,016,243,391,903,888,531,009,025,111,912,226,701,169,
324,453,485,786,593,304,625,469,524,740,741,770,333,271,279,069,680,755,133,
018,527,139,599,099,842,484,683,282,446,767,739,988,186,597,688,614,048,048,
418,373,111,255,223,827,716,653,019,796,420,244,650,966,122,550,419,296,097,
642,324,852,853,596,264,660,953,686,454,595,298,588,450,695,471,337,777,951,
535,954,972,421,367,783,785,119,489,517,290,950,536,210,011,332,736,557,340,
513,204,736,484,374,161,327,006,795,930,337,957,616,584,613,787,813,953,791,
517,689,796,565,267,810,402,933,381,453,084,074,313,773,344,916,991,098,822,
517,172,555,839,660,083,758,390,995,660,532,278,078,873,675,495,758,657,141,
256,155,865,247,148,254,662,461,563,786,241,497,479,695,330,589,486,965,875,
524,068,586,878,101,189,246,013,390,196,258,712,779,115,409,087,304,731,917,
428,824,376,814,418,632,004,769,061,251,784,226,340,616,517,613,030,551,645,
514,810,504,683,050,996,984,836,679,339,695,731,743,921,199,085,650,179,541,
029,351,759,228,188,696,405,363,530,044,162,685,421,090,011,076,276,543,597,
703,766,838,789,622,497,264,201,710,631,017,405,060,395,039,565,498,891,070,
670,877,525,492,981,029,337,425,699,936,882,707,182,455,162,899,573,084,931,
109,650,527,078,721,027,959,033,688,751,547,038,492,078,292,841,805,549,611,
121,394,463,984,839,725,015,101,358,203,106,428,382,183,420,092,007,348,473,
344,529,214,916,192,897,454,937,058,826,412,967,104,420,116,402,044,675,993,
776,110,256,435,414,968,221,063,568,183,205,307,768,460,655,911,369,441,876,
225,096,727,206,428,945,421,404,879,616,748,587,561,754,804,287,651,267,522,
898,940,080,636,944,252,966,499,710,007,063,695,233,170,929,333,001,404,328,
607,739,795,886,906,090,039,837,784,730,552,393,152,631,943,576,980,832,092,
519,507,452,263,707,001,194,362,654,080,586,122,837,037,668,485,708,328,891,
746,917,958,927,261,405,268,175,502,551,039,642,837,065,368,002,657,541,173,
051,075,612,522,033,860,893,765,707,241,621,416,666,192,955,265,480,876,229,
459,838,397,694,420,537,170,298,790,314,712,387,019,951,802,297,412,845,190,
465,548,362,082,110,128,022,287,774,826,885,146,597,681,537,288,555,527,764,
909,903,842,475,961,380,229,960,224,966,100,552,186,412,753,166,901,063,934,
790,693,233,312,389,754,674,952,903,043,029,570,498,976,890,066,572,064,726,
021,108,022,145,511,515,781,863,879,712,151,349,529,596,996,374,335,171,753,
769,156,613,036,975,480,320,871,690,308,397,300,103,130,852,144,439,067,987,
186,087,881,520,347,185,502,076,363,260,804,503,297,039,751,234,469,484,622,
763,081,317,517,442,626,113,616,610,512,707,643,828,275,672,824,646,569,302,
338,939,425,839,015,062,449,720,137,719,204,986,969,478,601,137,690,394,863,
163,017,814,935,788,164,033,473,538,139,987,093,625,821,551,700,204,330,498,
348,439,635,924,210,505,708,462,327,907,535,233,501,094,758,375,528,719,167,
330,637,150,004,727,084,153,817,200,155,865,363,753,572,746,519,615,906,617,
945,776,977,293,818,968,097,894,365,673,115,539,252,515,449,909,718,944,388,
864,178,180,236,548,825,543,524,512,500,699,401,776,946,240,299,886,703,270,
034,838,815,695,156,705,841,320,007,975,851,377,442,604,705,249,416,051,271,
214,898,280,484,871,777,813,106,468,462,554,526,054,705,306,649,322,740,170,
863,177,901,954,501,148,322,185,480,986,169,784,862,125,469,018,784,775,979,
137,598,316,763,721,794,786,298,105,333,039,673,243,624,234,505,787,080,943,
203,183,465,284,019,818,114,861,913,611,370,447,552,417,265,003,263,903,799,
044,546,185,309,770,345,755,345,884,652,460,151,782,917,474,687,212,774,214,
981,372,858,464,370,358,446,967,479,323,244,825,645,559,599,339,389,959,751,
970,285,072,914,711,877,990,056,519,045,529,994,045,294,977,720,199,212,428,
700,674,292,968,879,279,213,677,963,428,231,923,863,150,824,332,505,083,225,
460,745,258,066,231,855,077,555,587,959,061,781,572,917,816,512,072,607,649,
334,023,576,070,323,712,663,662,228,830,337,071,017,899,531,823,379,956,452,
472,081,059,218,064,143,434,445,314,006,171,808,891,543,024,749,139,357,375,
914,298,301,370,730,740,225,883,362,528,479,439,997,660,573,221,015,450,183,
116,270,588,391,461,811,189,191,199,542,505,212,580,212,701,929,552,725,312,
575,026,485,932,697,509,867,647,313,659,101,098,913,819,310,717,817,808,204,
661,036,998,680,025,557,473,162,941,906,879,427,032,008,022,174,905,569,687,
435,080,796,193,132,168,027,179,053,374,410,675,405,239,241,131,473,421,480,
539,972,504,386,002,311,304,853,027,629,101,068,268,516,451,757,043,667,050,
197,805,520,978,304,242,277,586,238,488,339,405,554,777,271,584,185,672,317,
798,032,917,491,125,668,319,748,477,105,836,572,041,610,771,272,763,798,022,
126,081,359,274,390,263,958,082,458,204,425,982,102,997,284,008,280,401,874,
140,632,476,543,862,063,648,002,563,656,300,948,691,739,355,746,107,991,306,
083,065,461,782,446,819,331,237,642,372,173,152,465,560,645,762,545,241,573,
842,935,206,458,253,476,229,599,871,890,813,629,779,720,306,320,672,883,129,
040,850,490,328,561,789,478,639,371,331,188,616,100,145,253,767,678,858,281,
476,527,295,910,691,355,256,891,766,958,966,960,146,443,438,519,564,720,661,
635,178,609,187,662,134,361,228,937,060,807,321,361,720,559,048,594,489,492,
567,698,355,400,379,227,107,725,626,064,649,985,069,397,347,512,034,457,712,
612,957,649,676,073,804,922,380,641,021,041,094,954,658,712,951,020,205,381,
735,311,947,243,833,999,660,769,103,430,462,424,306,290,417,181,765,264,998,
990,314,497,026,554,421,042,269,082,154,125,957,853,116,421,088,828,205,218,
291,638,567,552,422,319,638,357,569,775,076,791,578,864,354,007,330,507,468,
400,230,389,309,541,321,948,420,263,038,765,838,347,718,776,983,125,465,483,
772,772,071,469,452,940,564,248,274,041,870,970,431,364,463,481,130,643,382,
665,611,875,323,265,747,563,830,989,690,350,960,059,091,955,805,360,827,007,
551,344,882,403,818,980,854,892,104,238,865,734,014,668,485,244,666,401,386,
028,471,354,006,570,517,745,271,662,794,631,746,906,454,393,055,717,273,900,
738,607,326,137,058,362,384,567,435,089,613,976,548,619,165,996,433,730,420,
249,416,950,680,015,319,570,276,691,152,625,706,190,728,125,382,457,875,325,
332,214,151,829,960,312,608,805,455,021,759,205,593,610,317,871,495,754,905,
865,696,899,275,759,107,524,057,709,450,322,261,708,484,290,164,467,689,986,
004,468,464,846,853,958,013,080,800,403,568,359,782,689,851,077,597,634,933,
692,151,202,631,569,735,125,939,572,644,547,733,289,388,985,514,587,588,478,
864,286,374,790,574,780,265,524,569,426,730,876,646,674,702,368,380,023,926,
542,255,322,526,230,932,167,381,050,629,285,701,635,461,381,204,118,232,647,
658,437,498,381,102,386,006,513,232,603,664,268,981,480,637,410,313,643,194,
112,990,139,843,978,827,397,956,809,987,511,765,068,152,770,329,580,085,813,
341,306,025,739,463,054,328,659,507,594,109,916,067,480,391,113,419,396,309,
853,115,381,294,304,429,310,238,124,381,234,927,883,092,084,429,064,149,581,
012,038,712,687,411,459,762,250,749,466,461,913,180,772,089,129,596,747,027,
377,458,311,486,369,176,319,245,434,710,817,200,242,031,615,060,036,077,836,
447,444,325,827,973,273,191,810,118,337,068,123,312,562,413,624,348,207,970,
820,842,654,191,535,480,393,686,867,545,911,716,043,660,550,947,284,488,039,
290,273,117,456,843,219,495,407,138,799,962,033,968,603,694,853,896,099,663,
285,825,512,562,986,446,128,093,558,080,924,348,367,342,209,569,493,275,918,
985,117,714,619,632,178,004,948,017,231,091,314,807,714,903,369,420,937,568,
703,480,481,439,678,572,609,493,928,075,253,610,890,563,175,637,146,667,344,
152,798,046,807,966,731,881,306,090,359,860,391,727,798,990,234,596,080,986,
448,407,981,561,678,963,379,833,575,939,625,038,918,376,154,245,815,526,973,
088,377,190,500,619,241,788,826,495,304,564,965,644,026,522,188,805,933,844,
364,048,482,579,902,951,764,649,324,723,740,267,967,217,996,428,477,801,002,
053,682,554,259,549,923,495,868,495,981,434,678,381,513,553,219,915,924,217,
148,954,931,072,161,828,466,657,481,981,518,568,058,557,066,560,863,407,339,
289,920,504,737,614,123,610,279,016,992,866,864,750,884,312,629,284,441,663,
965,406,547,825,140,796,819,160,175,053,337,064,074,539,375,374,737,443,390,
699,661,805,450,492,716,491,652,958,563,521,443,243,492,608,129,390,077,842,
467,193,907,374,413,380,890,869,470,819,668,800,484,095,481,160,665,920,332,
292,859,477,847,691,642,323,303,169,982,486,947,953,959,387,114,786,423,675,
830,963,107,308,571,045,575,595,703,216,754,295,625,289,304,025,227,268,375,
629,624,249,511,867,193,130,898,042,772,715,883,779,591,032,944,352,150,949,
676,017,074,048,351,790,715,734,850,627,125,476,432,202,496,732,522,039,381,
002,539,203,628,532,753,105,693,309,320,494,167,320,489,085,120,438,929,702,
149,571,669,290,282,800,614,818,750,957,769,231,233,437,477,168,399,270,801,
542,320,343,790,328,859,741,749,789,261,696,076,979,964,761,260,385,497,428,
392,160,193,961,760,718,777,007,409,391,670,428,169,728,596,679,271,940,200,
542,877,204,870,614,046,201,464,069,700,520,394,353,332,015,390,490,627,415,
456,657,320,296,670,520,356,831,746,508,895,134,287,077,961,526,322,552,529,
007,273,844,487,113,823,362,723,739,739,838,988,442,179,366,819,625,304,644,
399,552,908,602,955,566,643,795,494,265,655,791,137,590,123,912,693,258,168,
170,235,272,101,672,976,844,370,360,007,981,162,065,636,163,428,914,450,385,
146,766,745,283,888,673,792,714,524,927,974,647,189,614,837,314,349,054,852,
399,527,081,537,429,663,655,723,172,344,518,526,326,496,250,458,721,710,147,
038,639,928,276,313,788,853,271,569,274,580,597,033,312,806,636,345,465,318,
782,880,537,514,512,117,057,248,660,945,657,073,613,820,047,815,386,551,762,
844,441,098,246,188,659,127,468,949,336,765,239,487,633,592,843,156,013,519,
167,105,199,080,021,899,574,266,115,345,990,540,924,609,954,505,906,386,700,
554,713,512,524,061,070,191,092,370,782,513,259,430,678,720,507,176,594,874,
806,684,448,581,540,208,087,540,043,945,620,142,464,107,780,632,293,760,859,
960,221,781,425,853,291,292,883,809,895,300,578,837,826,404,877,130,093,674,
722,953,795,951,820,937,972,082,719,470,587,576,427,567,786,781,520,226,761,
520,165,541,142,853,945,965,984,053,677,622,130,844,467,060,501,532,065,593,
663,677,900,778,691,263,809,521,475,981,031,353,618,936,163,850,731,601,507,
694,785,310,205,688,052,370,164,270,461,074,549,095,536,357,701,087,469,273,
056,886,023,622,974,128,889,799,197,388,172,638,933,952,735,710,984,785,694,
644,832,346,336,314,245,682,814,825,638,054,693,378,412,819,690,158,153,593,
654,123,441,529,638,652,934,219,724,027,777,810,568,590,620,177,835,008,599,
253,059,983,755,266,412,638,690,582,120,496,432,620,606,462,101,700,691,594,
711,101,482,058,320,711,811,644,867,090,186,025,254,244,728,241,044,586,411,
530,526,284,435,617,508,482,097,600,682,790,663,948,854,084,635,345,720,119,
481,330,184,318,705,944,710,170,551,227,425,967,878,684,167,200,878,011,766,
405,128,466,892,247,113,667,270,920,120,266,638,553,818,503,793,176,837,797,
225,992,097,018,435,224,745,092,069,671,059,325,332,699,327,220,422,911,664,
081,625,897,253,053,830,439,162,929,988,281,502,828,013,262,051,752,892,954,
523,018,426,733,615,720,266,621,045,142,608,643,568,271,202,816,029,133,514,
892,993,812,993,779,613,640,467,337,708,536,818,927,373,363,302,353,352,580,
963,523,854,476,623,256,294,288,254,921,996,814,404,067,731,160,750,531,499,
114,482,297,775,780,503,583,621,238,704,575,407,314,596,302,694,678,414,509,
675,944,177,358,059,305,208,813,986,812,988,514,598,639,186,809,210,478,560,
687,954,237,193,545,692,009,490,269,780,356,704,735,685,248,266,237,835,325,
063,233,422,366,063,261,224,957,963,014,032,971,244,766,827,351,465,504,348,
200,606,329,850,996,242,988,192,149,575,527,726,507,597,610,645,081,168,679,
284,049,430,966,982,767,881,957,699,318,280,002,046,664,685,184,701,912,268,
478,251,116,106,876,065,113,866,399,487,692,641,965,830,261,905,722,106,747,
436,346,591,121,381,553,469,305,571,747,869,370,647,549,076,896,953,091,769,
887,470,136,210,822,507,698,390,698,792,285,994,525,272,231,040,114,539,934,
591,102,602,501,058,780,359,198,570,337,031,747,705,308,371,421,182,851,421,
375,453,338,954,424,598,866,624,940,674,104,415,527,149,072,459,845,813,463,
118,530,149,476,708,867,419,012,236,917,355,175,116,165,474,363,748,281,813,
206,305,115,502,371,765,377,266,419,912,816,129,091,414,987,757,743,192,046,
982,983,937,353,474,063,903,272,547,056,634,747,418,704,460,040,031,263,796,
442,479,808,850,073,437,770,990,368,379,068,444,062,691,680,263,220,598,969,
392,799,956,901,819,632,959,090,504,286,149,624,867,572,670,950,584,994,430,
459,743,917,666,315,351,735,262,552,853,535,521,068,466,839,812,137,639,207,
645,147,945,970,392,004,150,741,159,029,274,879,552,283,373,048,489,868,329,
241,834,678,722,086,843,820,163,672,914,071,678,180,082,311,387,060,076,316,
720,915,606,864,027,931,585,274,021,627,398,289,945,085,044,951,892,562,590,
969,100,074,630,038,556,453,641,562,029,026,608,397,037,876,512,005,635,441,
979,481,059,678,730,706,269,391,672,678,321,256,773,460,058,699,897,156,437,
736,975,644,767,294,646,965,690,655,021,917,734,090,603,538,115,199,479,445,
681,016,820,790,102,806,817,095,531,500,126,731,334,412,342,753,228,252,662,
441,075,731,369,277,073,297,375,749,109,816,803,396,788,883,458,632,111,790,
590,733,849,671,494,545,180,483,033,557,454,914,352,649,573,348,483,015,616,
381,893,627,279,715,435,348,769,215,584,064,445,408,057,313,133,439,332,491,
645,035,602,502,088,173,265,674,737,880,354,240,635,004,485,118,444,154,453,
899,255,992,517,461,150,586,412,242,385,868,430,002,379,158,364,434,519,271,
026,269,106,494,685,611,526,411,720,439,134,004,367,163,538,936,804,846,758,
868,074,314,734,320,244,608,643,424,410,760,911,089,682,982,958,401,116,139,
491,892,032,305,668,994,553,309,795,492,038,888,141,664,098,192,489,647,564,
499,206,810,958,408,486,317,779,193,944,973,989,054,221,860,590,141,030,929,
086,200,291,642,452,150,822,690,678,935,655,903,045,003,971,439,501,994,330,
774,600,960,164,446,355,158,068,419,234,661,516,151,609,986,416,003,885,875,
626,142,287,287,819,930,853,828,493,279,811,103,225,490,187,021,562,847,951,
963,093,534,113,045,145,029,470,105,542,682,567,833,365,817,626,030,083,210,
123,610,549,771,655,980,599,422,161,201,659,520,857,761,107,925,238,009,376,
223,567,064,847,616,794,620,820,972,222,822,744,772,639,875,623,552,683,210,
684,668,668,592,129,558,941,846,102,701,159,753,594,807,375,198,103,097,588,
110,261,618,640,542,539,272,691,010,335,409,552,436,320,240,993,715,402,444,
427,575,044,943,016,373,623,572,951,774,384,159,782,434,136,104,472,219,138,
359,941,196,042,967,905,442,492,999,659,188,859,112,069,586,764,832,050,222,
713,322,700,749,190,322,471,205,563,430,754,858,421,881,058,709,611,973,119,
844,573,958,437,927,466,468,277,501,649,480,553,765,084,580,498,111,635,119,
985,610,304,435,984,721,849,343,072,485,955,282,442,885,919,875,504,377,185,
779,446,862,742,431,247,608,435,807,783,713,443,816,009,378,957,056,301,817,
820,721,844,472,322,807,816,859,945,458,024,725,186,621,515,419,802,644,057,
324,663,948,959,385,799,655,562,831,446,621,005,913,970,844,888,408,215,522,
733,877,323,404,962,705,212,111,947,373,267,108,667,568,119,361,148,846,914,
959,033,332,146,823,131,056,988,303,051,212,538,832,263,004,160,938,174,935,
093,972,850,645,923,479,614,086,760,112,230,646,742,706,234,113,046,851,534,
869,834,502,334,427,428,569,439,633,734,504,118,225,845,921,601,539,590,303,
162,572,968,925,201,360,811,760,183,800,586,038,754,250,786,269,339,512,122,
919,476,647,704,733,995,081,970,942,444,256,634,366,120,818,901,111,989,162,
859,421,249,682,996,689,688,056,200,568,777,744,856,675,073,692,274,139,604,
771,882,067,421,782,954,074,603,923,264,421,537,621,062,189,164,304,326,673,
155,038,869,929,339,567,041,456,696,257,926,521,697,361,122,044,824,023,854,
895,267,725,557,332,109,726,140,340,085,983,254,039,238,171,884,259,945,146,
830,125,742,500,468,202,202,020,992,622,385,913,066,828,048,494,706,800,861,
909,422,620,314,697,631,813,956,504,400,377,075,515,941,988,784,976,999,420,
746,509,731,749,982,339,363,385,279,085,170,659,488,827,472,969,563,778,296,
176,230,695,207,579,832,234,885,011,761,176,841,517,140,395,710,053,513,761,
086,620,954,792,562,019,076,907,393,579,629,263,042,948,335,957,238,905,990,
455,811,993,349,325,248,125,392,635,894,238,862,230,193,104,353,647,647,303,
717,920,087,728,136,780,758,296,962,349,738,151,265,219,707,243,573,381,904,
003,154,285,668,337,656,752,590,075,183,020,556,591,980,050,885,113,766,713,
263,314,150,285,910,355,870,429,140,416,704,581,782,244,842,465,931,476,074,
789,471,076,924,638,249,536,098,220,190,422,574,521,789,366,992,753,680,421,
574,446,239,223,018,692,596,941,711,089,338,458,364,491,024,495,014,854,312,
655,435,971,958,601,190,219,330,061,785,377,758,529,307,545,494,793,376,598,
560,264,384,334,117,585,493,593,202,847,503,353,228,719,096,834,949,763,750,
853,210,571,582,327,242,218,294,799,337,217,677,610,227,379,715,844,166,311,
691,256,221,019,871,658,655,972,147,734,914,224,707,188,665,690,497,816,942,
946,433,302,978,496,330,210,672,280,777,921,769,492,046,163,752,081,289,176,
197,878,713,973,547,207,633,785,652,375,433,645,940,322,441,944,785,621,435,
580,366,818,938,553,981,014,272,782,551,255,233,627,141,467,080,345,771,463,
555,044,176,326,841,935,588,909,830,288,364,291,105,513,816,248,602,764,369,
972,942,321,234,257,906,822,949,917,433,129,967,847,628,629,150,430,837,296,
450,088,432,333,667,954,074,239,715,074,995,810,420,931,480,617,137,665,915,
681,920,848,345,305,347,492,563,218,020,584,202,470,507,947,352,169,096,692,
682,538,213,427,605,358,536,877,340,112,737,671,621,244,224,226,062,481,897,
365,634,763,285,762,464,543,802,315,511,101,505,935,221,052,629,768,063,140,
229,928,074,401,452,604,315,274,471,145,070,321,444,843,315,936,046,551,638,
682,917,748,514,848,382,156,432,573,143,200,130,017,399,922,234,115,987,121,
136,743,727,740,997,478,121,233,072,586,197,384,394,253,567,892,276,161,552,
889,431,168,283,935,844,045,266,628,600,598,335,782,054,811,513,477,845,927,
583,289,334,467,740,385,083,440,800,598,460,468,649,132,180,581,898,812,683,
600,406,815,166,118,266,171,282,630,243,038,670,745,424,523,113,106,538,019,
805,438,180,677,710,637,238,021,669,211,265,706,771,527,740,474,136,170,991,
958,183,338,771,411,585,275,269,415,339,511,015,623,258,785,351,124,691,013,
485,699,342,059,588,483,851,724,514,057,593,556,942,431,519,011,818,204,291,
958,348,468,837,966,215,976,941,120,387,269,614,883,590,203,749,358,896,212,
214,240,516,173,485,756,082,987,704,505,455,057,158,425,029,830,852,677,101,
648,021,315,017,690,637,115,378,857,762,914,496,429,807,892,427,379,560,538,
343,869,009,695,796,002,129,546,616,469,869,594,576,730,605,550,526,932,993,
135,720,756,303,872,062,132,083,162,520,850,132,808,285,379,140,752,748,437,
161,778,416,434,696,565,545,903,982,889,284,520,921,956,577,530,457,642,446,
268,721,456,144,769,359,736,540,470,960,230,550,816,052,011,919,572,834,476,
431,466,455,979,640,036,766,704,805,961,471,051,848,369,294,547,111,171,996,
708,815,366,610,839,373,786,795,666,398,790,055,113,820,975,144,021,826,982,
151,389,251,689,383,529,465,038,015,202,328,408,196,462,474,729,006,827,482,
522,689,167,264,348,143,619,917,024,283,544,533,777,588,545,473,166,887,788,
620,849,515,735,036,568,507,864,196,969,457,297,707,600,393,954,430,366,021,
131,057,168,132,783,838,724,325,002,779,067,401,658,882,345,096,438,695,973,
263,010,307,693,166,110,367,994,838,788,869,073,961,485,338,018,854,815,985,
828,912,349,909,193,294,008,132,448,753,108,440,046,824,126,444,015,243,018,
491,644,056,596,462,454,567,375,148,910,790,058,283,206,581,226,575,813,360,
441,929,926,304,962,082,907,616,788,962,322,516,294,011,717,452,137,693,651,
743,668,215,237,385,311,714,873,253,960,086,260,359,263,487,606,261,838,128,
571,410,585,093,921,951,996,624,077,420,804,268,745,629,817,261,088,253,211,
967,575,889,461,733,499,098,874,016,191,151,849,720,319,250,207,143,043,646,
609,897,459,270,806,682,270,473,790,339,754,710,859,632,906,684,255,966,067,
708,939,773,910,364,164,265,403,780,274,067,432,648,670,779,498,264,283,522,
444,987,592,775,875,325,912,364,369,647,209,685,501,747,379,864,460,625,129,
142,262,784,061,843,890,854,390,482,234,008,286,816,324,686,600,358,445,251,
192,551,579,221,263,551,136,703,927,039,013,601,046,694,598,347,109,547,126,
256,914,740,017,898,549,129,621,490,910,323,290,861,542,429,892,840,109,566,
697,163,039,289,737,579,153,030,857,020,617,019,086,194,101,757,034,140,074,
052,192,408,520,120,624,244,123,419,172,890,334,114,339,063,858,944,677,083,
960,747,544,982,456,878,363,031,570,664,424,660,462,625,179,673,136,805,907,
616,342,495,502,404,344,811,915,581,738,926,904,704,461,004,133,928,960,702,
324,102,706,249,318,751,589,228,233,156,003,933,464,558,476,181,262,736,425,
606,846,958,964,603,826,817,582,162,745,891,809,360,095,424,850,972,012,229,
848,563,654,784,193,591,246,346,721,599,296,149,081,278,238,830,567,272,351,
095,540,354,665,240,885,941,398,107,567,197,701,792,607,615,137,113,503,656,
311,446,925,707,196,169,221,839,828,614,047,927,758,210,014,113,675,295,705,
447,909,200,504,221,046,859,695,943,356,894,999,631,879,529,467,510,497,504,
431,669,058,350,614,510,373,911,762,270,012,101,473,654,350,585,415,935,262,
516,031,437,362,650,235,984,553,791,280,279,351,121,585,328,867,128,221,429,
851,210,884,711,379,347,729,923,089,925,932,638,127,589,000,974,895,775,447,
834,428,411,918,778,373,425,530,772,749,933,768,574,296,264,940,564,476,381,
066,709,265,915,769,923,903,711,234,244,936,475,085,962,831,414,973,014,634,
288,647,658,269,120,640,255,140,616,233,862,295,771,678,833,494,551,929,891,
511,620,442,993,773,411,751,369,378,841,742,380,195,023,424,442,776,926,918,
904,954,381,011,975,132,361,774,155,592,339,501,484,949,008,921,294,551,250,
083,146,879,091,717,532,817,921,781,455,234,747,704,951,891,232,483,536,249,
615,162,984,244,139,653,874,350,148,595,757,695,433,634,926,548,845,303,661,
149,494,463,687,353,571,064,853,241,576,395,398,175,729,280,629,237,913,254,
841,845,939,321,576,474,418,152,322,185,495,578,270,206,676,828,688,076,300,
786,409,210,195,142,125,951,730,488,754,433,417,080,338,200,981,893,265,323,
595,510,258,395,450,377,562,853,804,590,040,338,147,624,135,265,886,740,701,
280,610,134,835,625,715,550,219,372,423,020,710,805,764,041,142,138,934,270,
974,178,109,616,497,265,254,989,030,998,639,701,761,786,252,483,121,621,225,
114,736,230,467,040,286,556,052,518,896,543,848,754,919,395,839,495,287,105,
510,259,933,441,402,751,007,157,303,398,713,130,043,201,266,627,635,153,362,
214,714,902,482,025,812,052,812,679,725,524,640,466,916,866,651,233,051,770,
266,581,118,941,256,746,310,267,905,298,164,546,823,056,832,968,803,908,655,
309,373,334,527,291,047,840,857,154,555,352,280,215,828,571,761,143,623,981,
520,445,765,261,201,323,791,880,643,941,313,768,696,526,399,012,802,555,389,
408,988,956,389,487,966,171,454,778,217,111,449,301,466,619,593,484,836,202,
315,432,799,028,260,766,246,590,307,745,156,513,823,204,097,894,585,913,243,
869,161,387,186,739,413,447,949,932,202,476,231,583,298,867,491,580,575,476,
652,932,636,919,455,398,626,649,897,300,830,687,350,487,494,433,629,225,104,
556,577,103,625,466,691,877,907,075,707,235,478,018,253,244,655,522,554,871,
680,291,071,232,374,771,121,003,308,801,013,041,118,568,186,283,860,628,405,
101,442,762,169,037,260,452,595,629,084,959,480,009,429,276,251,253,741,823,
410,572,841,917,798,067,631,973,706,197,454,588,109,541,540,988,473,477,075,
246,406,902,793,942,848,014,549,139,883,723,149,194,696,180,018,972,962,741,
498,775,288,500,274,545,500,046,418,586,391,674,991,194,294,579,275,539,318,
135,914,308,768,502,775,613,571,152,737,706,331,586,678,376,581,217,772,344,
814,380,748,587,322,650,110,927,225,025,845,590,107,904,788,592,227,097,837,
201,080,958,169,027,610,778,534,213,008,442,790,701,802,262,291,066,900,820,
168,459,747,600,094,587,897,062,291,976,297,114,258,299,580,367,827,065,650,
552,083,722,884,353,594,262,739,867,466,627,159,360,296,660,849,223,796,941,
744,021,947,729,137,906,737,880,142,856,892,813,203,937,477,780,836,631,648,
246,301,370,347,770,498,154,669,891,067,640,330,569,424,945,206,946,726,792,
592,929,253,578,680,975,324,246,698,261,835,972,776,837,811,394,925,852,490,
336,402,227,818,963,700,387,874,078,354,616,436,302,237,282,395,068,340,897,
102,790,219,143,778,278,897,941,826,711,488,413,235,463,204,942,726,019,933,
534,175,003,576,235,463,323,569,722,188,456,676,144,426,129,986,729,287,235,
939,360,042,795,196,149,892,771,740,640,160,417,522,244,276,141,795,943,266,
210,011,301,088,129,964,668,916,865,093,672,586,269,354,342,571,056,524,504,
480,959,678,364,061,781,828,781,325,647,707,942,559,875,807,239,095,804,316,
743,109,915,370,750,369,165,710,933,715,861,663,173,691,499,091,855,163,727,
573,636,258,318,094,526,031,395,643,468,030,337,383,150,312,888,521,536,553,
270,229,257,371,496,730,660,485,512,060,065,387,518,550,107,304,882,400,972,
563,181,796,775,519,948,993,649,618,328,639,061,384,239,968,202,491,962,925,
413,956,213,743,333,415,591,967,736,106,558,063,291,037,779,663,419,384,486,
677,915,487,660,859,556,608,627,400,601,330,397,204,575,399,007,054,840,249,
201,028,416,811,309,360,365,622,799,713,568,951,086,740,346,940,897,535,749,
930,883,793,490,034,795,805,802,105,140,309,275,797,107,973,916,907,380,475,
244,890,751,844,375,189,180,445,149,854,774,332,414,747,363,255,294,090,699,
279,277,253,543,040,544,283,109,006,415,487,455,898,216,657,486,608,366,805,
177,112,380,009,247,314,434,674,647,538,406,169,457,735,886,898,465,151,161,
711,106,954,760,376,482,595,406,846,308,035,427,487,057,798,561,974,157,048,
855,540,145,329,181,144,659,814,198,206,725,664,205,486,617,210,884,970,163,
105,327,017,998,351,345,262,334,750,971,029,002,611,516,358,630,884,178,579,
495,442,923,363,104,086,627,033,474,741,445,785,569,421,692,908,879,407,329,
793,811,156,944,658,234,872,974,424,421,432,019,749,771,691,073,971,947,086,
720,931,997,046,284,172,379,210,971,243,260,985,388,703,940,071,985,813,096,
447,765,387,195,845,912,591,149,046,049,812,650,021,581,762,420,415,541,946,
310,419,270,317,575,791,771,050,997,154,221,933,577,062,125,188,640,238,798,
255,846,861,663,227,295,134,918,305,497,830,846,334,177,306,755,314,846,922,
577,638,598,684,361,351,312,010,811,935,425,464,409,215,029,948,386,910,565,
868,537,855,323,148,133,924,258,921,335,826,439,775,166,438,429,021,761,940,
886,117,321,587,869,712,532,820,682,220,015,777,408,405,991,635,166,396,823,
897,402,913,080,220,411,756,404,538,014,962,510,280,985,767,902,553,168,279,
420,535,634,210,031,457,035,428,204,940,334,309,872,982,663,920,716,880,448,
813,518,434,528,905,436,222,274,885,492,351,228,459,134,263,918,942,216,772,
072,211,639,902,801,446,679,611,073,237,932,908,956,774,748,954,779,187,163,
563,655,952,402,547,252,819,909,425,638,515,914,854,003,417,641,117,886,182,
952,505,242,527,531,317,939,547,147,492,678,878,684,108,649,965,009,705,892,
825,245,763,720,288,360,667,672,431,159,941,315,500,223,459,259,411,283,748,
018,342,559,916,934,666,219,784,941,724,273,539,246,396,551,177,195,681,159,
916,739,805,850,834,265,092,621,007,473,729,880,698,060,300,284,927,982,559,
878,626,938,591,834,172,068,127,766,671,789,049,379,999,505,686,323,042,274,
929,701,464,751,063,115,667,417,781,547,557,131,292,904,748,676,293,426,376,
386,598,700,038,507,953,772,785,950,689,787,510,703,087,216,769,302,393,463,
104,712,762,979,410,961,932,039,134,399,080,479,304,569,709,827,490,462,165,
105,251,704,905,222,228,762,749,029,241,456,237,714,060,308,639,511,440,417,
849,775,888,470,405,410,900,467,761,350,316,644,799,163,496,223,771,478,403,
278,382,226,906,000,543,066,611,107,638,262,574,680,563,098,708,856,537,493,
965,575,205,331,099,096,075,329,851,502,042,958,389,308,331,431,397,718,354,
258,182,181,711,389,241,094,712,668,971,240,657,165,176,916,899,530,754,671,
438,583,614,072,912,828,192,091,858,730,877,837,598,366,141,733,005,491,049,
135,948,410,515,768,012,642,101,855,084,162,106,457,998,723,176,151,265,238,
850,945,158,859,276,544,905,895,814,524,499,808,683,770,011,513,177,793,657,
848,398,911,172,650,297,905,800,579,597,253,888,282,069,352,628,578,186,197,
859,491,092,341,883,434,815,881,711,186,667,176,320,679,949,658,719,781,724,
689,433,543,842,073,701,970,886,997,812,838,637,795,139,828,961,439,220,449,
112,861,145,633,903,983,674,098,657,205,495,752,012,921,513,464,202,882,581,
386,730,486,207,051,755,249,150,752,236,315,392,393,019,017,229,691,162,757,
700,518,612,479,131,071,389,188,899,167,514,057,873,781,489,318,877,947,911,
892,917,395,380,936,154,827,545,583,786,040,559,798,099,013,503,870,349,612,
857,955,780,159,563,279,038,034,948,878,975,040,464,616,012,512,106,741,272,
397,122,166,297,774,457,438,781,248,988,758,950,170,942,504,631,864,356,697,
090,846,314,061,874,965,830,985,088,767,824,559,054,210,538,316,789,113,068,
340,754,127,549,039,319,489,606,031,689,219,127,223,314,213,211,095,739,514,
644,075,372,015,249,634,838,260,772,171,407,305,463,930,485,606,353,076,094,
947,608,680,407,570,433,625,702,816,908,228,006,549,443,460,479,415,286,059,
649,508,155,695,020,000,228,191,606,227,025,988,230,166,703,796,873,362,929,
946,856,021,409,849,678,716,721,212,858,532,344,086,740,213,464,193,759,115,
653,378,296,357,027,831,272,250,382,022,996,436,542,361,310,880,614,854,990,
838,822,742,532,919,962,378,956,432,834,357,825,002,706,161,888,124,118,208,
731,563,683,429,492,529,297,183,014,567,786,090,990,361,520,376,132,582,013,
401,679,732,403,696,853,984,462,687,433,885,460,777,933,243,758,286,018,438,
122,429,343,886,514,146,542,703,809,437,083,224,366,924,560,712,685,464,360,
150,838,306,911,954,416,741,977,510,610,374,726,088,149,526,856,284,514,919,
698,423,897,418,765,073,154,152,901,943,759,102,889,015,790,300,078,205,820,
941,392,683,162,725,165,007,804,778,853,684,717,885,525,589,752,251,201,354,
606,384,959,537,074,004,576,968,463,136,727,752,996,284,907,892,801,946,258,
391,659,110,357,247,128,527,819,585,719,241,094,441,196,238,799,710,669,456,
735,980,106,664,452,141,512,319,368,703,892,973,911,619,893,571,361,147,034,
827,804,476,713,612,412,099,336,442,136,301,423,731,097,944,048,217,307,743,
804,513,197,457,759,905,264,500,567,501,842,221,546,644,939,297,191,214,812,
007,364,356,455,271,253,836,171,468,136,974,650,711,853,103,029,934,916,603,
535,981,710,384,133,281,731,156,607,705,472,780,729,892,541,194,040,780,917,
061,257,549,554,006,981,325,059,482,216,140,104,268,883,663,349,631,557,015,
151,659,127,645,283,635,528,579,174,061,834,920,189,880,197,424,612,841,308,
424,631,533,455,866,142,799,226,661,523,546,055,910,592,270,994,433,335,180,
505,107,684,644,086,153,502,177,175,493,196,276,630,584,856,766,882,773,494,
368,451,562,540,871,156,325,967,379,096,537,038,397,139,983,501,102,901,517,
993,316,362,659,585,967,284,777,313,557,994,406,804,121,957,706,781,763,623,
965,505,514,458,024,000,062,363,887,780,172,159,329,980,363,732,254,670,429,
579,435,895,830,736,548,505,938,138,556,978,631,935,792,998,890,248,402,499,
144,523,582,379,140,986,123,396,760,050,702,044,897,119,224,503,624,994,198,
077,387,634,338,273,853,397,425,090,235,889,593,031,904,221,768,338,633,511,
074,075,402,771,758,227,896,613,354,428,233,115,973,683,054,362,889,060,232,
398,484,165,011,427,832,453,350,144,099,460,583,882,088,884,505,021,877,126,
217,714,587,131,276,856,371,285,644,085,928,640,116,851,454,596,652,809,139,
489,546,922,109,984,519,966,179,554,314,747,180,882,213,498,292,617,050,192,
668,606,392,590,552,960,757,360,461,646,069,412,701,363,822,269,360,533,686,
599,400,532,529,756,342,956,674,317,924,660,746,106,473,913,330,145,196,575,
074,310,201,175,228,049,417,402,968,182,429,316,327,605,903,909,161,876,835,
677,577,999,693,721,507,844,831,090,846,979,789,115,213,179,908,886,098,457,
906,784,770,828,523,602,828,796,556,973,085,668,672,605,076,785,291,495,129,
796,837,905,338,451,612,842,188,166,181,271,071,361,534,821,362,950,050,206,
189,773,765,890,085,218,366,986,430,952,854,259,044,333,094,438,171,824,970,
909,639,081,052,637,701,954,974,331,477,306,701,911,890,161,611,702,166,761,
400,837,578,540,588,072,757,794,038,942,003,078,422,589,273,147,362,316,703,
179,656,538,767,437,806,689,212,050,620,498,650,299,380,706,134,071,621,612,
100,310,048,535,575,560,107,183,214,625,292,108,026,072,267,503,147,898,106,
046,720,591,762,148,846,649,417,847,395,982,495,010,537,936,136,321,743,283,
060,536,650,810,629,735,080,725,617,199,983,220,978,160,642,062,891,106,577,
549,137,218,798,674,015,235,465,941,374,697,326,758,022,084,925,972,815,050,
056,069,446,085,036,657,625,936,073,014,066,327,313,816,529,256,435,629,025,
133,932,152,068,612,968,568,723,206,567,018,644,258,529,950,683,507,054,176,
355,481,507,526,548,034,059,234,737,011,320,598,717,448,497,592,085,988,512,
276,375,338,767,740,194,703,405,981,410,650,328,978,776,313,807,797,268,495,
961,423,564,238,945,634,360,924,431,053,141,696,841,245,961,411,151,462,009,
601,683,411,093,074,224,875,199,511,456,029,358,366,238,463,478,293,193,624,
002,213,629,722,797,986,197,460,123,306,458,023,951,913,518,892,971,788,172,
616,930,165,970,836,394,333,320,175,817,742,307,385,726,312,035,059,752,859,
800,266,927,339,355,157,208,658,668,248,114,197,571,156,811,992,198,588,063,
162,467,246,661,901,670,280,004,765,057,461,675,102,052,005,207,317,793,058,
978,535,978,669,919,824,804,548,720,897,073,500,516,793,815,819,658,889,341,
624,415,326,142,879,425,364,570,473,125,901,968,995,918,652,307,899,447,176,
266,731,117,975,491,091,266,511,965,131,581,902,610,755,384,609,009,541,588,
409,122,540,207,848,360,583,908,718,017,782,945,448,151,991,203,313,780,253,
593,947,304,143,328,980,709,594,341,761,502,552,548,624,274,764,626,128,691,
723,376,401,663,233,653,121,724,149,392,373,068,970,997,073,525,366,662,626,
820,683,204,136,724,178,877,806,127,909,215,314,991,382,713,881,265,949,458,
711,822,094,471,160,720,977,588,842,124,109,515,885,923,237,092,901,245,585,
928,525,962,909,363,750,087,607,827,460,124,395,938,318,230,374,949,673,058,
147,749,055,597,500,261,008,780,360,081,292,653,422,831,969,361,280,844,543,
763,689,608,944,764,759,640,454,879,975,037,112,711,347,677,216,142,040,138,
502,182,566,131,586,382,871,238,869,284,799,380,991,657,431,140,577,653,055,
953,126,826,989,852,183,135,535,926,859,261,159,314,327,540,503,430,542,039,
209,101,819,865,581,434,337,158,504,266,356,764,503,875,395,921,808,586,773,
751,983,749,016,624,238,670,746,364,661,577,881,093,046,788,826,507,777,466,
872,154,060,383,914,091,861,166,052,221,604,186,769,577,499,385,806,680,649,
227,934,337,399,670,348,527,166,318,284,814,149,541,558,977,204,072,148,059,
725,421,147,244,779,935,223,521,762,806,720,504,457,252,654,466,170,201,502,
794,649,768,185,791,301,587,431,261,154,911,726,861,936,581,415,451,655,821,
614,310,681,901,587,739,763,309,723,321,269,645,355,657,443,095,896,390,558,
270,998,147,638,951,141,234,583,619,036,826,523,057,447,618,406,052,183,490,
165,040,601,490,213,420,859,913,355,804,472,259,129,895,051,455,271,339,200,
738,108,610,560,531,406,373,869,893,267,631,541,492,311,566,575,551,985,022,
915,499,538,156,521,079,516,803,461,550,459,133,094,300,137,030,077,970,820,
661,698,432,995,623,202,919,141,230,865,597,154,874,731,249,665,355,171,304,
483,804,910,310,851,687,057,899,164,274,780,768,460,254,288,227,627,031,532,
268,332,825,151,781,789,416,643,210,166,812,179,137,974,645,812,681,523,361,
051,743,002,150,292,983,494,280,758,489,695,120,517,742,251,870,034,718,652,
029,973,061,914,029,861,651,613,615,024,587,525,138,007,325,720,390,281,308,
490,002,738,745,843,378,263,745,703,912,332,243,856,526,583,461,769,051,300,
470,518,398,679,620,009,302,055,001,492,005,481,308,651,768,201,785,538,725,
280,159,961,950,593,339,325,021,735,763,923,985,450,044,631,458,239,870,230,
453,210,785,811,201,551,882,740,545,546,924,130,812,029,840,188,012,434,625,
776,711,109,731,562,170,289,491,516,260,571,082,643,651,681,322,425,086,065,
821,592,596,138,468,274,138,546,256,296,537,582,315,716,427,632,319,484,952,
176,964,698,360,045,259,620,427,485,114,680,973,118,900,396,575,056,489,182,
887,174,306,500,560,863,014,854,163,671,872,502,231,575,370,120,642,236,255,
993,996,649,933,647,988,736,412,866,775,047,762,489,689,376,359,594,376,950,
763,369,851,242,126,745,006,986,563,398,691,178,490,156,753,728,265,386,354,
484,836,569,795,547,538,840,757,610,816,215,772,909,934,578,583,049,743,168,
702,297,104,869,297,571,060,053,215,794,635,116,776,590,029,130,200,493,686,
119,741,338,268,718,472,467,304,668,485,459,425,726,392,482,027,763,394,404,
316,889,637,301,095,750,603,758,802,537,356,658,581,389,879,404,154,052,249,
050,031,473,502,845,098,057,670,901,996,998,431,990,944,348,990,545,013,771,
269,581,487,110,137,533,191,846,580,397,993,102,053,826,673,506,793,490,225,
209,244,909,653,790,650,164,829,960,441,864,107,090,906,604,945,341,843,959,
177,716,242,657,317,524,277,609,274,746,067,351,933,346,403,310,939,331,569,
549,398,085,380,095,784,963,566,663,080,483,710,273,685,592,688,023,516,101,
945,365,245,298,374,449,143,980,490,732,856,349,004,619,372,791,556,374,120,
502,049,911,506,201,903,021,429,231,117,207,596,986,518,272,283,802,995,768,
217,109,711,345,017,460,273,312,798,970,418,355,404,933,916,621,486,725,092,
034,398,391,627,773,562,065,697,025,692,233,905,917,658,026,061,774,492,584,
634,234,856,449,010,492,123,663,898,737,153,037,526,233,101,056,384,785,735,
585,450,663,589,066,979,187,266,430,541,859,714,356,844,480,288,626,040,887,
079,414,772,921,828,505,452,583,399,538,323,725,911,736,783,112,404,355,235,
593,131,067,352,280,139,930,973,013,627,714,925,762,663,363,916,110,902,180,
638,897,708,745,854,246,417,943,537,021,366,318,512,476,202,477,874,980,990,
837,576,253,477,658,512,500,156,399,865,660,686,078,186,704,298,809,309,254,
219,475,581,938,428,638,579,089,097,904,670,338,310,876,465,313,488,177,286,
098,739,711,816,665,043,636,954,791,867,768,049,012,443,954,264,961,424,524,
740,392,108,202,273,672,652,644,097,664,101,102,039,544,087,395,601,794,413,
217,238,086,475,838,542,430,510,140,159,157,068,837,174,812,880,808,080,360,
201,027,577,413,968,853,214,710,917,243,044,736,005,248,592,121,113,852,424,
644,811,513,905,978,495,180,626,117,296,221,651,787,480,168,093,857,262,876,
084,252,528,629,915,677,962,109,455,553,616,576,352,436,542,442,626,298,170,
040,980,018,825,604,010,015,081,535,336,275,523,382,445,194,269,165,329,156,
614,615,464,295,623,546,158,026,467,817,948,311,294,566,816,896,478,223,085,
031,486,565,691,487,075,575,172,561,200,372,661,532,669,172,290,635,151,937,
289,019,176,727,264,891,136,236,434,517,117,644,210,255,413,356,933,556,521,
496,726,640,927,783,439,986,529,906,013,134,828,513,064,047,425,222,294,034,
671,103,328,835,567,230,991,290,027,436,253,868,544,091,802,353,731,159,088,
419,339,733,054,103,584,426,722,883,686,725,829,587,431,457,830,257,044,119,
330,453,645,055,506,199,709,256,998,863,566,532,218,759,268,316,817,047,631,
248,560,300,262,619,727,623,124,822,361,696,014,279,680,127,449,476,803,968,
104,216,908,712,292,978,464,725,162,524,062,973,888,903,212,660,529,652,957,
012,742,384,832,857,038,694,660,120,084,364,823,317,343,250,433,355,956,874,
201,108,589,857,177,145,515,235,784,403,580,308,413,222,601,315,605,179,250,
253,474,594,498,592,259,651,901,841,858,725,837,709,343,928,599,251,826,254,
935,105,924,668,965,169,605,068,146,113,837,478,800,481,560,462,077,346,050,
853,814,410,514,052,568,662,103,870,316,235,743,898,494,343,635,781,442,332,
956,376,450,908,868,478,991,554,629,040,897,752,756,364,879,000,310,194,566,
262,171,669,347,483,847,707,495,044,232,994,017,843,268,490,013,219,264,957,
135,018,855,825,549,795,591,743,560,816,995,917,554,559,048,671,316,766,320,
697,807,710,817,300,903,687,636,782,287,544,214,455,659,419,933,815,526,641,
685,200,184,073,829,585,671,790,337,812,514,327,741,127,734,252,729,954,512,
073,978,547,013,344,022,507,464,908,860,741,571,796,105,080,445,305,913,046,
801,707,023,226,390,076,470,961,135,800,108,359,776,053,349,333,173,884,846,
052,024,099,179,203,062,032,853,291,552,382,205,566,745,502,048,558,352,720,
743,434,133,434,100,885,404,208,752,949,128,456,284,758,438,842,419,945,050,
134,368,535,244,847,608,732,772,083,016,899,736,684,665,730,174,618,784,025,
898,648,360,890,935,903,494,592,159,745,872,474,335,777,803,099,389,552,506,
029,853,181,494,122,610,903,689,789,767,777,785,025,897,980,717,261,854,587,
998,755,467,294,332,367,000,608,106,917,692,915,955,959,981,453,351,839,659,
717,175,998,044,730,700,879,005,545,588,894,594,389,056,070,984,376,975,167,
628,882,260,908,249,005,010,138,245,252,410,411,529,803,186,583,385,651,418,
672,129,062,623,861,336,666,098,632,155,216,903,141,877,466,240,130,167,223,
834,690,813,975,602,384,649,682,317,096,577,618,267,404,416,779,088,880,690,
803,008,817,008,918,998,873,481,838,099,026,073,092,963,508,971,018,161,815,
001,925,835,610,435,641,568,051,495,692,810,183,286,950,895,748,883,130,478,
751,599,374,326,660,058,791,728,568,445,768,341,256,522,997,031,752,255,246,
209,147,434,984,167,808,784,581,556,316,634,129,369,467,630,901,288,919,325,
161,130,688,055,936,969,528,055,785,836,362,578,991,562,026,019,077,220,680,
078,711,278,732,511,698,363,479,547,381,473,178,794,403,609,710,674,392,422,
640,522,496,465,405,094,722,135,742,705,030,589,774,507,956,298,374,455,607,
014,585,330,150,024,018,723,131,739,029,697,169,062,864,812,097,953,820,200,
016,055,284,032,592,108,078,084,383,905,464,337,980,916,150,680,145,794,277,
608,226,232,375,855,529,245,378,201,384,586,021,237,071,341,687,994,819,170,
961,033,703,034,107,895,225,825,709,311,691,154,313,791,253,114,057,104,757,
105,271,438,458,761,452,149,550,322,783,846,612,918,027,975,122,967,587,032,
626,302,358,732,609,175,474,908,770,247,308,912,447,199,540,504,276,598,038,
526,193,192,730,467,581,100,314,263,100,403,170,829,927,997,881,904,014,856,
488,585,209,955,376,321,242,575,850,339,927,064,923,128,190,144,498,521,377,
279,620,927,202,487,393,368,358,698,616,681,003,593,805,082,794,514,496,458,
002,392,158,474,018,086,233,550,710,645,846,102,590,865,163,856,721,930,172,
214,108,967,864,023,873,948,767,265,183,286,585,620,464,928,340,562,345,432,
542,442,405,389,632,431,991,233,676,971,865,436,395,393,043,957,358,426,727,
630,635,702,763,444,757,101,688,177,927,797,723,319,587,728,446,663,757,600,
366,064,297,194,517,570,616,866,334,587,592,718,083,220,969,714,783,026,246,
475,157,462,342,478,255,074,122,106,908,045,873,617,073,508,342,317,897,969,
674,030,937,289,140,407,408,416,911,656,128,340,468,587,026,305,129,093,337,
734,311,705,836,468,193,324,736,251,684,959,221,242,261,972,117,037,410,699,
442,031,955,188,645,442,116,964,370,441,136,988,608,270,188,266,373,327,461,
040,427,677,720,454,567,956,651,372,286,120,563,661,427,996,020,307,155,794,
368,185,189,348,615,904,651,548,381,630,492,767,537,146,350,274,505,358,991,
543,188,770,681,421,584,848,861,101,706,937,639,103,470,328,238,349,268,816,
044,013,406,433,461,584,058,972,719,342,134,539,460,907,260,110,324,288,552,
139,753,349,610,943,513,992,101,104,476,376,080,697,150,664,220,974,831,793,
526,258,391,371,852,844,733,209,777,973,317,865,590,528,430,623,245,826,465,
030,732,279,225,231,911,277,456,196,744,862,322,783,020,838,015,228,106,127,
370,327,649,234,031,560,008,624,516,571,876,711,138,813,932,054,803,445,177,
093,768,488,537,037,909,034,511,764,084,955,297,526,229,388,817,826,140,717,
409,719,862,378,440,004,327,702,876,999,122,171,955,865,521,854,420,430,395,
965,586,212,617,572,786,220,993,190,982,573,227,335,431,861,907,129,831,583,
066,651,520,501,174,171,386,800,600,499,518,568,236,771,445,128,368,865,938,
518,082,055,767,101,108,610,329,257,997,448,736,666,715,820,938,214,207,259,
180,752,809,409,550,644,024,565,842,646,232,372,903,914,296,611,923,276,696,
617,824,321,789,766,166,743,363,376,620,163,927,571,980,176,966,117,115,141,
565,288,956,528,346,681,119,119,603,233,237,191,536,895,792,942,717,142,014,
610,141,646,991,372,198,665,508,469,105,589,766,960,162,319,792,915,820,762,
404,544,232,436,099,909,710,305,559,925,038,087,199,945,846,298,153,185,380,
433,178,254,672,032,593,294,672,151,002,185,523,947,673,707,804,192,428,263,
939,743,154,913,128,983,608,451,921,803,882,238,973,228,531,551,063,430,348,
054,290,924,934,236,842,843,099,952,492,927,119,933,861,035,350,822,351,266,
642,832,859,728,156,945,234,482,707,067,388,516,776,114,973,346,846,651,381,
984,756,161,086,844,720,177,710,519,246,754,548,304,624,098,178,196,925,357,
392,361,248,488,561,091,900,599,215,182,915,768,350,011,660,370,444,000,788,
278,313,680,403,908,960,084,097,150,886,548,828,940,850,742,241,748,397,954,
679,426,071,597,998,733,803,537,434,392,936,943,326,956,184,006,332,679,155,
739,723,933,772,460,328,129,646,962,742,065,477,578,382,212,911,181,116,429,
976,702,625,653,675,709,990,438,927,312,800,205,843,882,190,565,767,832,288,
155,956,526,924,309,085,450,810,541,781,982,813,665,085,191,617,015,012,971,
323,132,358,809,287,265,372,654,017,018,518,812,367,320,993,372,886,911,500,
035,595,293,840,549,656,248,529,265,552,964,781,929,048,274,898,918,623,276,
177,385,371,195,122,703,611,872,251,006,516,228,010,468,022,016,028,048,696,
809,732,685,143,227,588,469,944,386,116,922,073,726,225,400,058,981,965,758,
147,897,335,261,121,321,213,497,120,123,421,491,976,217,362,103,193,990,610,
681,368,640,022,757,080,247,208,942,916,446,112,482,564,148,201,633,401,116,
410,356,835,278,803,371,852,492,467,955,602,881,091,095,244,561,776,786,453,
850,156,623,915,140,566,277,732,073,846,714,699,583,143,053,269,312,904,068,
509,050,215,694,659,829,323,503,941,055,189,210,454,595,657,213,146,541,096,
080,541,951,166,108,385,923,153,532,878,440,004,766,063,421,530,462,264,872,
652,437,414,184,121,787,587,641,440,886,445,656,906,686,008,550,535,527,060,
900,250,713,190,810,048,756,438,169,469,025,279,953,287,240,037,886,366,515,
105,116,502,415,197,799,267,468,121,440,788,937,262,036,677,572,479,387,326,
379,130,989,008,090,921,048,243,234,847,055,302,147,336,423,406,197,197,160,
345,843,691,054,705,583,646,188,846,514,392,821,896,115,648,819,425,285,786,
199,485,476,835,303,192,309,636,626,657,623,297,542,058,477,630,008,317,802,
384,895,371,249,384,943,585,837,509,076,766,828,085,502,070,188,994,716,731,
661,574,447,805,108,469,245,577,360,435,720,688,361,971,417,680,752,464,734,
340,468,996,275,861,330,513,289,163,860,485,695,767,557,493,375,171,901,813,
831,150,266,004,546,772,678,177,439,788,964,957,442,894,863,173,447,335,029,
222,593,892,342,445,210,769,146,415,672,083,835,558,878,111,018,889,146,854,
360,700,536,716,808,577,280,392,473,037,576,047,246,779,248,013,700,479,001,
050,925,752,107,089,993,213,797,589,894,534,805,608,582,476,298,472,614,435,
501,605,156,452,351,033,531,472,719,815,649,936,351,843,532,126,140,854,408,
159,542,514,687,070,473,869,800,094,980,469,274,534,089,542,923,610,972,137,
789,584,177,180,338,460,735,644,965,677,705,228,864,038,941,851,790,665,741,
787,705,222,412,984,875,744,920,671,912,477,337,287,449,687,263,411,173,345,
411,994,925,400,921,263,637,015,778,195,532,860,545,875,707,508,129,472,319,
724,968,166,254,594,864,080,327,229,426,954,179,914,174,739,355,858,132,548,
481,140,801,177,507,623,191,875,461,266,060,027,758,088,850,483,366,827,193,
818,537,587,527,709,743,408,991,628,302,538,818,263,279,077,247,284,443,606,
602,184,826,556,980,089,741,110,026,009,838,119,979,943,166,227,433,108,566,
817,901,341,491,557,890,488,189,314,347,265,781,588,120,827,828,830,863,480,
803,559,636,862,835,589,011,109,601,774,712,264,792,554,204,072,617,079,472,
298,732,867,346,847,044,186,505,164,085,823,470,478,155,618,015,038,127,464,
162,808,418,383,320,792,390,392,369,969,788,803,047,679,304,507,030,061,606,
896,336,846,935,500,999,180,240,200,072,497,514,969,524,809,223,520,267,342,
248,401,970,861,717,188,530,822,478,932,291,912,245,667,927,734,631,879,511,
997,174,436,276,039,265,497,104,209,507,318,318,475,923,235,919,107,887,928,
905,950,928,171,892,561,934,734,895,090,106,107,438,218,755,895,823,522,543,
825,424,758,646,667,235,243,752,213,845,846,989,632,214,302,735,285,385,073,
409,231,334,686,135,955,760,491,410,837,305,156,339,943,260,464,879,657,844,
362,271,278,385,471,553,062,351,898,725,286,188,559,280,339,464,842,452,078,
215,479,367,082,240,928,515,284,299,562,962,487,988,579,787,297,452,262,910,
738,206,259,988,908,384,654,049,231,401,114,801,306,482,736,141,442,433,549,
061,159,132,192,006,280,387,668,135,115,048,097,436,352,415,701,463,284,279,
315,227,346,106,246,653,297,492,515,192,544,874,901,708,006,578,465,229,992,
322,271,730,123,349,925,797,574,810,317,547,882,555,570,114,830,770,899,661,
892,610,768,503,697,235,224,403,184,431,295,938,448,378,210,202,818,409,273,
638,032,509,188,604,095,854,308,148,959,328,637,024,817,719,248,135,961,200,
627,409,443,853,969,927,107,522,682,306,356,896,335,980,063,886,556,279,522,
692,594,896,663,209,311,987,276,803,304,728,115,540,067,364,174,338,714,393,
898,322,455,907,870,650,307,452,551,504,615,294,372,914,590,278,167,406,503,
553,860,703,219,715,209,317,653,953,341,527,818,975,000,048,162,740,756,246,
187,514,827,441,409,507,983,892,145,363,526,528,450,633,677,993,308,217,123,
288,341,604,142,624,513,610,977,692,981,625,895,717,100,930,181,910,579,418,
044,888,521,409,699,593,663,255,073,147,481,067,259,436,449,170,692,297,466,
758,167,527,042,138,176,556,192,690,141,621,243,348,962,442,926,582,982,230,
754,542,257,004,328,169,554,025,557,495,443,134,314,144,533,799,708,830,529,
160,616,369,238,593,477,971,282,345,042,565,228,946,448,224,994,294,123,552,
071,376,920,743,061,245,235,597,368,729,031,162,269,249,939,437,904,875,981,
852,014,662,689,568,608,606,134,092,084,120,651,121,172,440,084,200,341,345,
264,608,138,690,127,885,188,957,633,622,254,402,631,580,532,598,642,246,532,
731,555,573,234,151,500,636,199,045,217,845,607,419,740,419,765,380,591,405,
521,358,902,288,050,018,117,125,201,379,270,114,522,980,807,589,541,669,075,
107,461,896,119,254,881,753,154,443,943,291,333,011,837,047,385,850,894,787,
633,756,141,025,607,635,355,473,183,243,625,759,336,020,564,813,111,132,756,
274,229,797,584,160,083,791,227,283,225,216,701,924,964,872,997,744,162,488,
399,703,631,403,269,494,822,340,462,256,938,353,580,385,513,880,537,368,843,
957,706,559,459,910,018,717,704,551,972,491,678,833,575,690,060,762,426,642,
369,913,889,164,928,412,129,830,506,725,351,719,620,600,231,041,120,419,483,
356,175,531,910,609,958,544,284,041,579,245,542,236,762,569,835,102,513,321,
312,580,712,113,575,858,591,982,507,705,746,420,487,095,551,757,420,222,622,
334,425,669,616,820,504,975,206,763,692,528,053,481,811,651,332,992,408,831,
449,412,891,335,290,589,105,811,893,440,974,690,562,868,494,872,546,140,233,
066,020,885,453,447,454,285,017,172,523,128,856,794,693,387,715,961,137,541,
113,554,666,423,316,431,877,546,048,314,599,625,048,394,962,974,142,802,531,
580,748,328,913,906,926,976,165,757,339,030,504,770,578,503,326,631,473,040,
116,924,709,657,685,077,632,362,318,765,159,523,991,373,421,788,481,070,582,
063,022,044,844,172,433,011,591,892,439,346,941,232,429,276,188,990,784,646,
725,112,385,682,591,557,791,146,037,767,762,809,662,906,759,862,043,469,287,
959,549,466,292,213,888,016,766,595,027,148,239,882,438,776,446,696,099,305,
268,508,902,377,481,936,816,131,330,980,512,148,570,130,991,414,207,934,517,
178,070,613,689,059,306,365,733,157,584,576,826,723,861,048,838,190,172,953,
673,009,413,511,212,927,375,892,251,639,583,255,651,471,233,863,485,771,403,
810,667,640,275,316,377,926,489,245,988,523,444,226,615,173,823,469,195,127,
529,594,019,896,165,909,338,574,421,759,300,922,704,040,464,935,238,379,606,
897,358,825,148,793,513,163,092,260,957,101,509,860,533,111,867,244,149,072,
946,496,148,323,516,353,874,780,424,974,931,816,971,044,259,681,161,132,190,
341,503,245,801,668,984,858,646,662,062,969,713,636,008,629,105,889,492,369,
503,362,599,987,471,501,779,492,791,257,722,902,804,672,492,228,164,247,148,
890,371,732,707,684,766,745,274,558,066,954,071,731,316,240,780,314,315,243,
409,882,184,309,292,694,970,617,961,196,723,379,399,773,891,157,521,525,696,
242,515,153,050,128,031,997,508,795,661,682,924,338,587,756,792,381,776,940,
685,682,316,468,488,654,986,284,043,408,728,098,194,140,855,969,549,832,482,
022,982,297,938,847,822,282,215,322,408,139,574,178,190,816,543,687,125,123,
447,531,614,323,207,904,716,718,493,915,232,084,183,299,452,360,488,479,022,
850,803,410,404,287,563,900,563,459,158,974,482,174,116,047,344,099,722,533,
441,615,234,761,996,490,906,983,023,879,080,051,297,899,426,770,434,179,350,
753,210,445,480,363,695,287,851,831,119,939,586,592,260,710,739,171,245,398,
194,133,132,600,927,238,515,363,190,920,206,435,454,576,289,623,988,854,572,
568,103,029,331,892,741,005,942,087,056,875,250,209,396,577,149,818,695,947,
454,784,801,492,429,393,478,766,409,493,485,224,679,345,874,361,515,400,506,
939,797,610,336,850,356,888,837,071,393,554,808,788,399,894,319,623,253,526,
506,838,314,235,471,770,949,233,685,926,649,674,347,580,087,599,950,598,652,
972,255,094,580,824,737,989,099,879,594,762,337,021,047,863,936,783,381,411,
869,710,315,779,012,557,902,252,943,726,354,054,216,475,478,178,182,674,501,
675,889,824,062,395,431,324,936,512,242,238,237,570,742,160,266,171,242,703,
832,037,510,814,999,903,869,766,532,872,842,223,308,833,438,556,194,743,346,
778,793,685,734,043,893,207,128,187,934,670,685,661,610,601,010,430,959,759,
461,055,094,990,828,681,481,902,845,653,386,957,970,900,600,313,688,617,857,
754,426,547,840,923,932,122,087,856,315,728,263,268,488,880,728,465,928,574,
363,882,428,884,624,367,573,996,435,233,985,642,243,590,247,001,982,277,615,
557,365,575,047,761,471,146,263,951,811,949,076,555,147,168,457,473,917,383,
812,991,377,729,231,839,660,298,131,156,368,912,152,406,821,123,729,673,556,
871,619,525,662,304,932,408,098,984,877,407,104,943,836,896,072,437,460,933,
146,823,399,247,590,506,290,164,100,524,127,621,891,004,605,431,912,829,132,
898,112,634,104,873,493,251,805,232,786,362,232,040,975,979,988,380,464,352,
853,679,115,170,615,447,180,292,219,382,774,133,192,248,630,967,051,402,230,
367,221,977,025,780,730,582,477,216,344,785,266,323,707,216,191,152,226,309,
874,874,333,344,976,138,041,216,608,782,409,965,676,917,847,782,253,467,205,
011,112,470,880,578,894,641,004,511,938,097,771,094,238,840,652,968,556,235,
033,191,932,865,789,393,161,020,505,955,948,484,204,011,634,786,209,793,644,
597,523,140,886,943,276,863,590,406,399,826,579,311,300,614,198,238,630,991,
978,739,359,978,324,911,184,413,876,649,106,599,662,024,835,705,020,796,773,
583,568,896,255,453,688,495,388,439,014,273,300,920,789,866,419,969,396,824,
186,777,025,758,039,826,493,584,998,503,173,530,246,097,655,706,364,020,852,
278,815,463,382,130,367,481,169,340,394,030,530,336,834,078,635,932,901,678,
777,670,377,304,425,814,743,624,822,820,750,407,129,221,896,349,569,865,180,
359,448,953,561,692,637,479,005,712,295,916,147,078,033,712,777,457,756,779,
267,262,984,732,380,826,569,174,471,722,923,988,219,331,688,068,851,913,147,
840,181,552,609,929,948,938,112,429,036,240,281,403,915,184,450,321,988,767,
197,966,959,895,279,802,417,104,294,976,955,886,008,098,552,127,281,438,805,
189,080,510,856,386,954,292,730,867,935,276,301,002,020,771,126,376,900,266,
629,370,791,079,339,865,315,576,569,567,103,150,433,394,493,829,955,615,096,
953,436,116,983,773,367,098,199,103,579,114,336,690,093,192,337,631,228,127,
160,457,706,928,007,046,540,470,492,108,119,806,289,278,380,736,705,519,147,
670,378,893,982,122,513,044,958,633,417,508,903,878,523,490,548,546,042,956,
427,793,387,701,390,396,224,536,540,573,596,080,682,347,570,526,158,821,450,
870,324,653,679,296,726,371,327,623,236,039,696,447,031,355,462,962,273,855,
119,136,480,365,788,770,797,545,651,606,942,330,751,116,727,415,435,877,462,
259,616,924,429,802,512,499,789,197,231,864,983,242,082,893,576,656,548,075,
194,680,988,210,109,421,944,864,394,835,818,152,020,552,137,448,659,920,010,
039,639,204,168,177,882,311,991,029,051,923,871,772,877,403,794,774,328,994,
373,908,251,348,805,516,536,513,758,084,545,993,815,424,478,526,012,929,629,
904,615,620,003,608,316,774,090,042,138,306,756,258,306,815,500,869,068,644,
252,305,997,980,998,643,909,612,092,950,182,432,481,539,974,439,627,016,950,
959,358,372,421,085,955,131,065,137,402,524,608,019,929,301,821,883,865,474,
548,046,647,595,880,709,310,136,783,971,845,331,621,141,565,188,007,160,965,
125,341,417,065,062,513,543,507,073,032,214,858,598,956,084,333,762,388,528,
698,846,224,301,323,664,257,163,796,206,687,616,845,059,439,513,104,544,116,
542,779,681,347,365,900,092,898,185,604,582,111,057,022,104,999,580,332,860,
202,815,641,821,689,404,549,176,365,587,473,865,560,856,068,926,035,564,832,
960,429,842,050,262,606,962,482,162,553,070,138,393,245,930,169,010,519,261,
579,258,846,948,878,902,451,499,106,073,836,133,326,634,240,658,541,263,218,
125,747,039,966,528,655,453,017,623,939,765,299,801,213,657,908,395,500,828,
484,578,270,073,022,428,253,230,655,841,606,820,792,562,325,504,532,144,120,
441,553,282,292,720,172,101,397,436,634,820,395,294,157,504,007,143,266,541,
672,272,562,819,435,100,721,880,818,003,169,507,697,790,432,719,179,280,482,
149,907,074,790,518,610,442,380,479,561,403,582,574,572,947,250,324,671,770,
454,722,828,787,397,196,667,338,643,845,727,994,206,852,775,756,494,172,663,
087,564,835,915,908,915,398,341,043,495,102,348,981,383,346,137,394,236,310,
302,907,787,739,570,836,783,966,007,577,142,362,932,330,591,789,571,136,790,
532,568,788,972,821,957,403,949,693,597,335,435,779,094,146,396,587,965,082,
645,890,937,827,306,748,231,115,799,786,626,091,494,548,394,021,583,926,276,
928,898,298,646,458,434,258,893,639,396,794,477,263,618,200,883,191,444,489,
715,980,419,367,669,647,094,122,406,811,169,962,681,009,013,086,174,473,876,
672,376,859,780,559,514,597,748,898,568,227,966,252,469,452,280,801,129,759,
578,512,423,580,469,529,792,205,114,679,367,989,298,372,333,088,427,322,510,
751,823,639,561,161,245,268,534,648,508,631,435,268,987,571,512,930,374,303,
284,482,512,247,326,164,121,549,108,115,008,727,718,959,651,745,975,827,768,
395,774,398,359,548,395,103,603,379,141,361,975,804,636,420,330,923,863,930,
614,820,783,614,218,194,486,002,477,827,007,714,004,791,698,737,550,104,469,
847,199,450,083,974,745,427,847,885,201,443,393,902,206,744,697,943,616,161,
270,643,472,157,587,889,066,503,707,940,122,762,931,351,638,875,053,562,560,
646,886,163,320,993,601,457,817,475,494,179,876,713,504,793,597,446,375,556,
040,389,852,987,370,416,364,953,245,337,189,602,094,502,328,907,099,432,816,
832,076,144,191,047,250,982,566,070,462,934,194,836,080,876,101,521,292,769,
675,789,030,072,976,342,217,482,225,956,987,202,061,723,382,596,795,279,271,
768,341,281,746,373,548,597,891,202,533,994,237,697,544,586,701,454,371,168,
376,226,539,969,093,832,044,959,293,771,920,623,049,337,426,141,406,794,941,
009,320,319,992,575,201,070,384,152,610,616,448,240,132,245,388,081,497,345,
220,779,821,461,197,359,199,101,245,047,373,082,332,098,748,140,936,030,744,
811,142,064,852,244,014,747,827,372,692,756,036,299,716,718,282,010,522,351,
346,480,045,755,934,220,880,011,271,215,041,511,415,005,140,942,734,662,589,
868,076,993,959,445,456,013,876,302,843,169,174,639,488,300,722,111,966,396,
813,565,280,691,478,191,806,273,120,992,812,940,035,595,207,712,205,834,929,
878,205,640,526,085,473,773,775,572,986,608,133,126,084,358,366,859,253,373,
881,745,251,895,141,441,287,304,577,645,062,305,817,680,120,770,043,205,013,
491,354,768,525,378,580,199,710,045,428,905,982,172,818,925,771,395,275,505,
740,745,571,926,834,462,097,683,470,475,364,065,725,298,901,397,515,364,404,
189,226,460,585,851,077,536,589,681,757,479,903,102,450,448,296,050,959,861,
145,931,041,275,996,918,069,682,052,834,113,610,806,632,775,237,754,337,746,
469,978,821,302,775,475,618,658,227,761,289,727,704,792,090,016,354,946,455,
295,968,512,755,374,326,489,458,673,927,572,889,010,624,696,359,415,682,195,
077,708,951,916,744,180,000,880,811,430,540,933,628,672,945,791,795,617,224,
801,210,305,737,167,099,420,024,652,645,195,184,371,189,806,894,777,054,195,
429,065,403,451,358,244,546,583,742,002,219,137,111,579,146,102,658,755,257,
242,646,471,308,020,638,835,972,803,451,232,080,131,378,673,406,537,027,697,
913,975,588,651,257,243,702,446,933,123,684,630,489,391,788,751,587,654,991,
221,576,133,154,135,311,543,174,032,947,713,262,486,248,222,716,324,702,549,
829,823,414,820,003,259,681,602,836,472,075,287,014,822,325,508,599,516,499,
281,897,332,997,286,685,634,678,420,723,202,176,249,501,581,102,537,349,842,
465,823,271,545,266,729,530,178,455,193,357,013,581,153,454,625,671,288,458,
241,940,388,433,280,073,160,005,276,123,707,120,985,320,512,026,216,491,396,
639,993,851,836,911,047,682,033,734,418,652,301,566,383,978,982,613,238,011,
949,182,728,637,736,971,262,585,803,400,823,749,454,832,615,703,599,899,359,
503,555,091,805,608,856,880,127,874,705,649,063,072,416,673,587,509,325,616,
029,694,139,053,373,045,728,695,760,556,371,854,316,693,509,738,431,135,189,
718,816,093,684,888,093,313,976,368,199,201,254,466,817,704,802,675,548,619,
256,554,353,334,989,388,514,587,785,296,287,662,358,570,116,849,683,530,226,
589,031,809,321,589,690,209,872,323,801,425,214,877,400,283,558,596,855,339,
342,078,354,045,193,822,746,288,603,733,063,968,290,635,827,201,026,041,614,
405,684,144,609,949,166,711,172,826,242,709,850,176,001,243,028,509,880,890,
628,120,739,235,926,663,275,406,163,024,208,107,408,839,142,772,022,053,211,
068,085,922,778,003,666,793,724,956,380,763,476,988,488,580,441,502,222,253,
203,765,569,672,868,568,298,805,098,686,202,840,315,398,276,488,723,472,724,
300,629,952,125,545,334,782,379,997,413,259,140,098,959,406,601,451,584,779,
855,781,631,279,558,271,582,803,492,925,519,374,190,797,393,037,759,201,000,
932,758,256,499,362,730,797,785,555,352,267,256,841,333,932,780,658,618,507,
598,307,198,544,964,406,512,199,292,277,307,203,469,893,974,224,706,563,321,
526,779,108,724,481,894,753,679,296,089,725,816,492,960,816,943,800,508,356,
406,425,291,178,675,759,237,484,443,134,964,847,319,809,297,501,820,617,735,
468,587,358,686,837,079,582,468,171,871,442,578,753,311,835,792,525,931,784,
424,123,230,593,762,260,510,606,654,711,237,364,598,467,173,494,343,540,164,
967,204,218,925,118,768,973,762,629,464,934,353,758,878,680,182,520,692,304,
929,283,455,338,533,452,413,316,087,458,520,126,181,953,230,052,333,032,204,
096,747,254,921,046,837,362,455,747,111,273,610,174,261,295,237,426,003,120,
024,994,896,912,609,963,617,788,286,689,258,228,215,675,531,817,187,137,044,
621,436,896,789,799,332,384,588,590,474,239,402,807,318,290,231,458,393,174,
727,017,463,876,958,631,953,204,875,967,658,598,208,710,275,779,490,366,026,
240,956,213,572,699,349,506,251,797,911,564,467,783,596,125,030,935,964,632,
363,974,096,813,701,425,233,294,267,950,227,650,031,969,933,980,915,236,502,
092,902,064,151,998,224,035,712,414,309,280,061,461,083,609,388,321,725,459,
915,874,219,912,215,428,798,140,045,487,164,590,419,891,540,640,146,076,783,
262,879,347,122,528,102,744,711,189,554,630,175,863,598,405,264,678,559,755,
376,155,639,119,511,045,332,041,840,424,836,354,679,751,636,352,851,375,041,
854,435,147,448,390,370,612,238,346,903,329,418,309,270,160,827,401,665,562,
059,262,344,391,654,652,943,583,312,809,428,103,104,963,668,625,618,113,661,
689,304,099,282,205,025,389,892,093,767,147,496,789,046,148,269,634,231,519,
574,248,661,563,573,895,902,759,595,835,858,253,328,368,117,571,218,980,235,
637,575,466,155,720,319,177,781,451,003,106,040,535,444,014,168,847,292,997,
319,148,070,917,155,252,086,502,135,336,864,813,530,091,916,174,814,410,687,
088,646,034,753,652,662,768,216,700,644,093,523,126,107,302,279,087,734,568,
756,351,600,902,842,532,045,767,214,551,886,707,606,783,595,114,599,180,940,
389,501,225,962,504,815,540,128,107,790,671,033,590,329,222,439,444,763,203,
960,961,013,209,770,893,988,838,305,200,680,265,486,214,476,627,078,473,816,
357,642,531,697,328,491,698,268,186,733,462,343,726,315,926,939,497,422,647,
828,480,330,107,490,693,441,738,028,039,470,094,106,504,080,242,719,653,648,
774,183,144,487,270,754,088,895,077,660,235,702,868,044,939,482,346,162,421,
728,914,809,007,382,754,113,589,175,667,816,973,188,218,364,248,084,299,618,
955,168,207,080,249,270,067,868,655,728,981,702,076,027,648,061,656,239,811,
417,538,150,090,299,863,090,458,330,652,326,680,051,607,099,411,190,762,480,
599,159,782,858,096,682,478,737,496,168,009,509,308,629,404,078,624,372,025,
260,491,500,210,732,235,295,900,109,752,895,472,836,358,120,133,521,887,135,
605,063,853,195,254,827,861,115,020,541,079,005,694,881,547,189,537,468,473,
274,656,343,624,102,857,386,703,387,457,044,454,612,296,939,110,842,849,315,
363,404,459,883,917,274,020,791,708,015,822,352,534,176,228,519,498,030,065,
158,708,488,463,583,370,899,666,704,690,323,530,547,871,268,089,851,002,486,
731,315,939,123,206,742,724,846,986,830,068,809,635,865,090,130,544,657,438,
761,275,900,824,189,724,305,167,937,160,314,331,951,499,777,357,557,031,197,
012,174,842,371,259,962,903,037,294,016,561,832,271,810,538,413,745,577,706,
146,496,030,065,799,546,775,638,865,970,275,699,464,992,416,192,596,437,410,
251,032,653,821,316,340,135,436,661,627,487,331,649,854,761,479,858,322,524,
430,192,909,439,478,389,284,006,406,979,619,668,883,515,388,107,915,258,464,
178,330,088,688,261,587,817,403,156,260,040,232,479,210,235,187,759,604,896,
892,439,357,194,933,807,399,077,863,577,157,320,720,350,158,491,124,212,664,
976,215,442,401,057,640,615,514,344,985,229,816,947,027,009,697,972,292,098,
020,168,499,234,415,877,764,352,859,912,861,577,308,158,103,160,490,205,537,
541,009,747,301,876,725,519,043,829,651,105,581,565,577,961,662,226,430,838,
091,722,984,792,141,971,251,890,166,220,728,631,871,050,069,821,977,930,071,
049,212,401,749,941,773,291,296,277,725,757,326,719,730,883,609,375,743,984,
751,735,711,758,680,484,184,235,811,756,508,209,567,908,904,390,861,340,447,
596,023,169,809,653,682,440,406,249,564,048,145,410,653,798,805,561,269,656,
664,130,044,396,849,664,820,741,119,503,994,125,351,597,537,612,855,768,429,
070,124,418,414,081,724,962,743,239,686,933,808,201,177,245,314,676,927,937,
291,159,148,808,285,506,453,803,425,759,746,805,050,690,045,353,423,310,248,
958,669,543,208,413,811,521,677,956,243,611,448,063,866,450,841,651,258,024,
779,045,330,017,579,471,923,801,166,079,042,709,856,395,739,546,513,589,504,
614,198,340,365,933,910,817,635,527,204,976,759,296,652,336,027,740,607,644,
029,903,012,835,426,846,441,273,417,952,598,291,555,625,905,789,518,791,990,
776,543,531,206,757,461,235,495,409,657,771,377,543,411,881,272,381,933,414,
355,774,268,200,047,607,746,710,274,338,768,717,684,060,762,322,430,413,219,
792,004,238,932,558,559,737,044,268,341,060,146,613,555,628,052,077,924,043,
197,432,150,023,125,450,634,535,751,013,529,194,782,335,216,318,232,127,668,
581,811,375,576,565,039,973,818,914,301,047,794,259,528,833,832,823,798,651,
249,365,767,505,081,824,378,983,876,300,939,625,963,459,256,337,450,869,850,
902,252,451,231,618,738,604,724,787,152,491,862,519,115,336,787,210,371,463,
554,504,729,019,822,317,800,504,894,068,592,009,524,751,221,036,135,406,828,
100,587,530,993,428,797,155,013,244,940,650,124,559,887,347,088,683,122,968,
193,500,676,984,060,379,681,174,369,879,088,213,015,164,478,188,918,069,807,
929,301,180,326,157,286,732,375,720,321,632,728,039,953,791,505,058,735,764,
669,301,617,862,970,224,599,292,436,971,473,137,257,476,776,344,863,917,986,
312,366,937,315,021,982,167,422,288,776,263,804,517,032,502,803,047,620,724,
015,683,980,934,536,220,610,903,418,178,964,200,199,215,313,067,067,976,253,
507,680,298,101,211,156,092,577,916,977,314,316,589,477,983,376,657,925,056,
513,133,271,672,989,439,645,979,158,608,391,757,794,593,242,044,692,512,585,
324,910,521,485,608,216,705,284,785,514,730,335,055,433,908,813,271,893,460,
345,556,712,474,934,642,533,654,206,822,348,076,788,022,882,476,414,468,712,
947,081,640,623,351,706,134,142,015,848,875,595,716,946,783,532,291,795,058,
911,426,331,155,935,129,709,139,949,240,287,183,597,619,943,679,665,555,403,
434,759,913,661,647,110,958,875,891,476,553,505,107,994,439,673,387,134,360,
271,495,897,933,915,229,986,588,343,354,885,626,498,959,940,835,762,261,254,
393,995,992,885,219,180,588,521,016,111,990,134,797,294,001,636,681,846,948,
260,625,259,565,926,394,443,490,093,930,207,465,516,966,811,519,898,790,191,
121,793,931,456,215,565,841,185,548,750,257,746,655,581,772,812,665,705,786,
343,452,865,528,478,259,226,559,387,845,652,313,707,408,689,345,970,420,170,
074,135,065,296,607,505,454,188,935,778,362,677,315,721,798,958,515,265,146,
324,596,316,501,002,953,591,990,447,503,085,800,661,434,775,934,419,438,707,
785,974,433,768,144,126,209,427,529,661,839,933,945,812,501,280,211,873,863,
847,926,655,680,638,391,243,321,652,058,240,229,804,261,546,145,993,225,800,
534,483,370,662,228,868,937,991,886,429,317,497,689,599,012,765,047,275,706,
171,557,458,555,525,087,665,072,622,928,999,678,303,620,219,887,500,287,171,
426,216,715,194,487,241,032,168,995,890,380,426,174,932,310,176,827,756,340,
611,524,573,134,362,979,573,325,225,751,550,388,451,731,689,379,454,174,604,
166,189,952,339,397,851,170,953,155,041,776,856,876,176,493,035,282,298,279,
518,204,590,920,759,404,375,475,495,571,401,149,472,321,871,895,069,618,269,
934,445,538,341,951,987,680,812,170,282,799,067,741,189,296,989,431,862,600,
587,566,778,054,473,396,418,792,823,935,921,695,427,698,554,146,667,408,808,
840,177,069,220,617,414,298,633,315,486,377,317,089,310,713,027,163,853,081,
850,922,702,401,354,340,473,832,692,296,757,789,831,060,618,880,331,146,667,
142,834,865,605,656,872,111,952,133,099,072,593,317,185,282,507,808,881,566,
874,829,483,213,399,360,399,577,388,683,241,826,803,636,820,362,303,117,748,
194,237,087,479,951,978,227,915,019,331,078,666,017,169,690,241,652,650,320,
020,023,158,483,617,471,151,566,604,341,177,484,814,161,314,570,572,633,739,
672,634,827,616,339,116,061,427,036,954,454,549,483,416,791,097,179,289,107,
853,175,020,833,647,469,282,363,885,931,156,031,770,091,358,352,326,776,483,
154,039,466,067,975,324,612,889,729,983,430,994,790,750,901,596,165,738,112,
901,150,180,796,702,874,296,104,522,966,796,716,808,889,001,967,310,010,219,
431,454,668,888,932,666,086,413,695,879,235,273,204,086,813,369,753,696,255,
809,739,456,331,783,206,710,954,548,358,086,607,341,654,869,417,354,920,016,
385,988,346,247,278,135,122,495,783,261,075,653,654,108,165,917,608,314,247,
097,429,104,298,300,754,883,023,317,386,657,008,914,358,418,786,626,164,517,
315,472,246,384,237,059,338,414,563,808,514,430,494,394,579,074,291,626,423,
742,063,082,562,242,904,615,052,306,577,890,889,646,233,701,513,783,898,301,
611,263,357,862,861,160,723,853,001,819,674,387,306,594,391,175,498,866,830,
465,819,458,779,158,050,630,948,884,159,209,073,712,694,295,719,613,093,767,
041,337,123,365,332,927,360,029,566,093,112,775,094,684,848,005,802,710,773,
041,501,032,217,175,431,614,767,936,155,007,134,379,973,181,695,612,327,761,
012,908,719,754,993,205,754,378,463,198,269,346,082,720,747,411,891,801,769,
835,112,924,386,550,241,233,924,511,450,171,415,765,445,302,198,041,783,170,
731,178,645,608,385,402,350,477,735,583,974,150,249,664,699,195,104,495,104,
038,560,920,923,582,246,764,055,366,533,869,671,327,086,310,456,274,382,246,
375,735,519,250,948,544,215,771,090,738,440,777,725,060,333,541,030,194,621,
893,633,949,678,540,809,079,304,605,984,539,597,402,029,525,637,966,275,143,
099,113,903,933,944,030,596,662,865,852,668,068,446,907,284,031,915,981,153,
995,254,096,718,806,052,475,743,999,367,405,769,387,159,917,521,331,958,178,
510,801,065,352,054,427,763,146,503,415,705,600,080,502,355,421,094,164,073,
759,755,076,289,035,081,157,933,362,681,629,352,263,528,116,611,523,818,952,
981,492,542,914,568,745,765,294,432,040,759,149,734,711,935,022,229,172,488,
340,734,511,798,693,944,050,485,698,667,901,571,811,105,603,385,419,173,141,
225,093,406,695,711,010,998,691,799,180,200,381,006,139,548,683,315,062,600,
419,912,185,088,165,104,997,328,840,834,663,028,201,638,945,176,730,852,347,
234,023,950,002,827,834,072,703,223,719,489,061,454,960,149,798,296,605,517,
181,662,653,086,461,786,187,604,099,233,715,047,899,042,512,100,295,430,971,
970,602,108,323,085,437,915,522,742,660,780,183,279,277,320,503,065,429,612,
770,164,023,666,329,032,366,757,405,029,754,347,209,745,515,134,310,608,948,
915,759,019,080,498,445,786,460,633,503,477,887,870,714,775,774,997,382,735,
379,928,947,023,005,010,428,347,667,553,743,004,358,311,677,400,862,924,188,
205,015,045,009,002,150,564,796,531,703,580,643,541,171,333,205,759,785,699,
297,366,855,662,980,069,654,003,059,475,490,841,179,345,637,739,104,910,410,
594,603,969,117,442,588,727,723,038,793,967,503,753,538,404,469,123,726,756,
409,644,752,365,290,830,358,901,844,996,057,309,010,761,043,657,081,047,285,
570,957,974,693,120,498,923,818,150,472,155,172,915,006,933,222,230,408,407,
643,066,619,265,148,626,315,782,331,665,377,948,230,979,812,736,819,636,930,
008,718,099,002,297,036,012,662,739,944,940,134,711,243,384,010,494,756,178,
979,961,493,875,925,159,531,098,564,162,373,560,119,621,410,841,874,709,716,
074,381,189,294,332,671,164,645,550,176,291,216,515,598,075,987,477,334,136,
082,516,707,370,964,748,196,789,003,281,767,279,866,788,456,112,478,746,312,
262,697,083,294,378,686,757,359,028,206,888,533,957,151,399,591,492,306,614,
864,594,343,486,295,912,615,899,758,190,894,486,092,800,209,427,804,545,055,
190,418,931,640,125,350,031,001,184,398,530,572,345,975,658,728,362,765,045,
550,880,905,868,703,524,728,171,122,768,134,515,317,586,082,354,211,753,520,
389,773,359,161,131,464,681,188,540,378,287,232,184,973,871,538,096,684,300,
996,542,142,325,384,810,304,271,949,598,729,448,681,550,718,356,904,191,562,
325,915,558,879,625,286,731,721,847,645,203,737,729,416,271,415,163,550,022,
188,086,019,681,367,409,563,476,811,346,527,014,603,482,626,072,579,443,235,
177,965,362,767,317,390,761,973,709,894,034,473,771,717,206,807,339,611,091,
226,026,495,011,073,151,943,580,902,485,499,318,516,615,414,484,161,229,462,
667,018,349,951,210,457,124,790,811,258,180,076,559,152,930,740,899,050,840,
777,780,966,388,221,569,617,125,377,081,380,721,420,316,547,573,663,536,736,
687,676,323,419,215,854,793,267,361,296,515,285,475,428,774,451,011,601,983,
210,097,098,397,678,609,031,923,820,889,656,669,330,266,790,886,269,725,714,
899,448,345,176,735,834,147,160,368,983,335,438,638,477,869,208,113,392,072,
564,100,478,610,517,067,693,494,682,702,314,343,999,201,251,924,451,753,167,
135,657,216,187,063,396,314,085,822,151,907,257,869,891,894,168,266,696,195,
671,760,949,227,620,949,781,637,359,205,377,565,770,386,492,735,997,897,128,
993,052,423,018,586,189,564,179,429,498,909,078,234,457,643,596,358,849,041,
077,733,085,150,817,400,573,242,058,998,472,402,470,831,194,727,544,410,521,
403,470,153,836,668,033,235,540,605,727,600,807,177,118,827,497,346,500,240,
203,186,311,476,349,886,008,529,467,463,760,016,467,804,003,115,257,173,852,
862,138,926,123,725,904,365,621,520,939,887,418,987,820,185,839,518,873,841,
052,449,978,800,287,543,124,163,351,990,949,333,785,378,577,281,152,851,778,
400,996,958,212,251,793,438,149,935,852,135,916,804,194,364,243,125,867,355,
494,649,552,797,673,047,558,056,088,631,064,729,244,019,317,299,952,726,278,
855,765,771,347,380,405,048,022,646,112,847,080,596,458,977,395,460,542,543,
373,823,633,682,149,864,384,108,441,440,915,291,445,752,739,783,205,935,811,
944,920,359,188,108,218,432,771,967,999,306,881,582,528,722,811,459,571,375,
332,458,078,164,351,133,114,942,671,831,945,579,896,898,156,699,946,427,591,
836,752,096,654,256,841,677,149,676,123,676,480,835,907,941,027,449,327,862,
894,706,261,345,320,158,303,352,785,687,271,126,984,961,361,520,266,856,757,
490,933,272,863,392,608,742,942,354,764,483,157,783,642,856,588,099,052,971,
670,509,750,647,497,167,492,671,745,240,012,030,681,807,038,306,947,751,064,
946,378,660,564,895,886,346,421,876,488,676,710,395,747,673,998,342,581,540,
738,832,844,006,397,776,096,351,743,228,217,900,317,686,013,580,909,833,127,
104,058,365,939,162,341,432,656,128,610,581,149,334,427,572,676,222,327,632,
258,550,096,943,161,960,358,151,474,085,187,272,870,563,927,109,325,738,348,
972,238,596,262,722,222,264,897,310,246,283,798,741,010,149,624,324,073,302,
909,089,953,434,197,869,483,861,434,532,809,658,325,339,910,518,251,583,749,
370,421,247,820,836,366,567,071,831,696,777,468,010,641,367,739,490,361,034,
570,699,808,597,478,015,316,153,678,085,093,034,096,491,436,177,319,708,854,
049,580,838,572,852,915,566,637,295,579,017,700,356,901,692,058,481,627,717,
442,035,514,941,838,535,987,731,717,442,120,603,346,023,524,166,954,835,394,
096,671,459,796,803,783,542,385,677,969,529,789,029,321,124,333,453,954,681,
379,096,557,262,686,234,611,155,990,116,839,279,281,364,963,065,099,285,685,
288,376,573,366,158,452,224,473,140,384,436,542,352,504,904,742,222,680,359,
532,048,970,660,372,817,365,300,149,044,686,732,751,717,282,237,946,705,338,
037,531,479,953,044,619,868,264,803,280,357,777,748,610,515,218,670,443,141,
766,029,622,304,244,785,435,715,014,661,349,970,101,719,975,459,402,860,894,
844,019,272,871,216,915,140,089,403,639,822,767,081,704,610,553,377,645,197,
921,651,296,533,776,840,150,959,465,250,374,931,624,177,679,733,562,534,058,
607,290,637,782,377,770,059,187,198,592,830,484,280,965,733,344,143,790,637,
222,840,856,509,261,420,615,869,044,913,438,609,925,195,454,978,350,135,997,
860,853,618,460,440,859,705,087,792,548,125,880,937,780,727,238,054,660,472,
497,574,325,991,303,089,202,129,723,229,629,281,499,051,538,848,382,711,951,
123,795,692,938,265,709,190,113,813,499,355,514,589,442,380,876,422,593,168,
905,075,048,532,467,409,295,483,584,471,030,392,319,413,162,992,683,471,778,
358,504,408,045,767,111,221,909,973,997,471,810,245,940,949,290,622,962,985,
839,660,016,776,174,064,379,217,814,799,453,404,818,902,876,826,524,696,510,
963,959,077,702,479,991,238,860,258,849,224,080,187,445,430,453,100,401,002,
554,910,313,213,053,721,736,870,129,036,926,738,011,620,202,484,775,318,099,
446,026,544,470,972,090,278,045,881,875,960,685,433,113,757,324,566,561,882,
007,301,613,791,890,252,403,840,632,758,375,357,191,158,398,866,593,399,542,
026,458,819,570,834,927,742,049,981,313,413,035,378,528,818,434,027,048,230,
357,656,673,939,429,732,135,291,346,019,778,482,684,627,035,949,522,840,367,
386,395,441,486,689,310,794,454,843,342,748,244,213,146,728,423,125,458,863,
527,044,040,588,286,207,156,482,761,433,389,491,332,204,901,445,972,138,222,
907,817,816,625,494,025,134,719,702,471,443,944,302,592,493,500,780,060,622,
212,360,505,620,086,898,954,567,726,982,708,185,969,252,871,633,459,629,191,
666,501,821,041,761,984,052,933,011,689,778,629,727,695,960,210,208,157,229,
893,102,326,911,211,135,275,651,812,980,957,338,231,289,225,177,524,733,407,
003,717,666,216,484,653,768,883,336,764,867,765,600,730,431,297,622,341,483,
946,588,404,464,759,122,833,259,293,865,461,492,618,455,660,172,287,330,291,
526,044,080,916,325,036,915,753,373,400,353,447,418,232,564,197,209,793,797,
248,582,440,451,570,986,417,237,119,659,916,501,391,617,801,989,343,693,989,
238,759,526,632,455,857,292,714,335,483,891,816,537,231,360,845,911,395,317,
471,448,256,816,420,608,506,000,183,428,895,856,010,918,988,528,342,852,261,
869,381,601,430,340,807,887,362,423,182,951,645,599,241,356,859,120,484,784,
451,561,706,604,738,455,960,458,248,331,372,919,436,740,309,584,343,406,375,
355,979,574,214,107,260,990,433,964,445,445,035,365,679,793,289,117,132,145,
749,705,823,275,791,341,571,869,547,857,031,059,534,139,836,312,415,306,973,
616,777,407,638,984,884,982,413,945,592,437,898,845,135,881,819,315,365,751,
984,145,106,350,275,029,637,836,686,400,028,782,017,833,993,380,471,469,035,
117,561,493,297,019,257,189,650,544,962,418,773,747,498,237,293,099,666,209,
148,438,598,672,730,972,115,312,463,134,546,835,837,881,994,770,941,343,177,
120,811,440,058,768,323,637,984,302,103,160,402,020,082,982,093,100,647,949,
463,631,377,685,995,211,744,234,678,887,541,573,120,147,470,806,000,153,764,
926,748,939,140,050,150,057,062,828,741,216,043,856,759,410,920,313,631,582,
635,611,650,334,941,413,190,140,175,827,229,746,200,461,258,613,429,372,889,
529,397,281,817,031,457,823,358,719,867,255,631,280,166,512,997,133,850,520,
173,434,982,617,625,363,908,823,658,666,591,382,059,621,314,533,650,192,894,
725,477,404,296,491,241,324,473,903,999,580,036,597,609,477,481,871,892,774,
324,148,332,554,721,681,423,619,968,789,017,717,689,116,947,370,736,544,204,
234,010,450,707,732,574,417,256,245,458,509,248,172,878,688,033,990,101,478,
700,461,889,809,656,424,023,206,552,348,026,528,913,742,727,842,609,614,815,
162,288,679,106,298,939,535,411,447,412,834,982,397,750,605,492,743,861,964,
966,318,499,131,568,976,576,718,382,587,285,466,140,594,690,351,612,579,746,
868,093,576,592,761,643,366,976,509,588,352,855,435,466,653,836,126,913,010,
995,347,904,278,593,362,125,668,649,738,321,397,936,005,524,179,445,868,095,
044,762,485,043,190,857,533,611,783,192,587,847,353,050,353,840,977,055,389,
865,479,187,784,021,150,566,945,372,164,951,574,469,058,322,459,515,280,622,
592,910,160,392,815,883,818,902,633,199,007,828,231,140,647,672,701,278,125,
182,476,608,788,325,813,297,904,102,086,365,790,978,770,787,112,914,173,890,
226,402,371,984,634,917,957,106,140,669,039,617,145,620,957,319,258,750,947,
430,542,999,292,852,005,602,376,754,118,536,735,753,269,668,780,637,865,806,
819,490,467,757,886,329,582,256,916,575,734,894,543,890,184,019,465,918,238,
856,254,493,231,353,032,695,822,922,981,112,685,392,309,968,811,511,625,153,
563,359,705,212,922,421,943,695,506,128,163,118,768,905,668,581,038,222,971,
758,731,401,158,495,596,516,808,508,947,030,033,292,581,801,683,373,935,136,
219,629,404,894,175,179,876,858,388,199,934,075,180,464,530,773,163,474,332,
490,249,082,134,203,254,589,189,274,513,094,120,730,725,828,939,065,481,897,
457,194,740,824,381,679,082,872,622,463,770,650,343,048,597,917,890,688,484,
723,789,118,989,998,672,206,020,119,503,515,202,279,496,508,616,028,890,563,
019,750,545,308,520,316,932,140,472,400,761,724,359,668,162,453,973,607,343,
856,616,897,320,502,152,869,016,230,446,630,112,332,130,489,231,254,727,129,
309,911,654,912,350,192,069,802,661,436,626,877,841,150,746,042,489,543,774,
762,047,531,277,290,841,390,446,568,803,109,391,358,773,463,584,501,107,516,
405,866,714,876,011,970,953,494,767,165,836,295,572,700,934,616,390,367,238,
058,434,447,538,655,973,539,759,264,863,852,784,166,743,420,406,153,381,575,
347,774,233,766,104,974,956,562,655,896,745,927,961,825,127,490,644,842,910,
336,818,903,642,930,654,871,459,414,417,141,107,307,477,790,298,865,498,350,
725,081,448,816,295,530,761,411,967,041,364,787,061,627,934,817,863,649,071,
075,898,961,161,969,459,997,960,212,571,732,688,243,661,216,561,924,023,034,
824,174,532,399,023,145,908,342,352,652,369,273,144,095,169,489,458,397,914,
418,228,464,451,799,360,038,450,773,716,778,169,530,296,429,478,686,744,139,
161,613,442,571,244,130,074,107,959,399,228,941,155,689,664,051,692,434,400,
228,424,886,378,299,824,226,992,291,443,014,357,408,926,762,930,251,615,499,
482,232,646,792,910,191,919,717,217,073,857,749,268,203,105,457,792,658,944,
301,480,237,224,216,510,085,708,495,721,093,769,428,213,238,516,903,983,945,
967,194,399,276,840,286,010,234,389,552,998,936,998,528,858,110,014,207,502,
714,798,801,742,091,393,763,557,585,943,184,014,763,256,465,078,077,472,121,
316,691,164,466,912,802,486,068,766,501,349,080,544,045,182,294,484,306,602,
715,341,524,514,855,964,621,395,126,177,465,302,724,606,653,848,130,201,406,
826,479,587,239,297,936,345,589,245,587,239,838,425,167,205,177,762,041,397,
964,154,213,385,078,189,361,926,909,701,571,221,251,075,717,826,485,315,755,
830,885,614,738,006,602,453,405,677,839,457,531,582,726,801,376,148,534,289,
914,210,492,636,760,243,046,625,926,240,211,405,798,947,416,031,504,442,175,
899,272,864,079,431,291,365,194,831,346,490,965,336,150,194,393,131,472,011,
401,728,553,802,024,608,997,895,473,425,092,440,515,662,662,178,266,568,025,
072,365,313,084,116,492,735,803,985,388,570,010,482,268,879,798,602,991,930,
351,740,181,863,880,855,508,838,201,606,274,455,569,345,473,329,680,414,016,
987,154,613,549,997,048,403,668,013,672,986,673,041,438,685,951,328,712,090,
109,368,106,255,026,394,860,475,390,688,137,862,378,408,083,263,688,847,376,
760,475,103,389,764,535,091,961,763,859,325,731,687,023,976,797,729,101,141,
433,186,797,965,545,797,833,964,255,564,620,833,851,244,136,211,133,702,336,
238,980,617,306,938,124,653,970,666,000,304,935,601,963,139,012,264,598,642,
601,666,776,331,823,567,299,585,792,322,767,460,064,891,478,027,303,106,954,
617,605,350,406,010,343,260,094,338,088,444,022,683,970,955,756,267,903,763,
471,019,465,511,597,443,373,929,441,173,159,776,481,664,533,802,633,811,286,
706,069,753,897,566,377,695,988,262,601,209,272,755,097,619,517,861,028,266,
111,749,073,136,429,758,319,054,577,229,023,167,071,772,849,872,574,884,700,
863,398,759,480,571,803,181,417,814,053,919,080,267,766,881,191,848,434,497,
962,443,602,370,164,671,905,687,803,046,519,413,536,451,779,481,383,061,048,
861,405,796,532,143,563,517,742,401,334,103,622,593,089,586,197,631,819,564,
958,919,587,295,915,592,617,476,518,371,123,794,153,711,443,347,104,470,968,
409,467,863,028,954,160,470,299,867,757,957,891,563,866,365,061,444,085,511,
709,464,672,903,957,818,166,218,402,667,004,293,515,900,244,251,712,463,369,
710,533,781,906,382,578,264,357,925,191,117,087,785,958,571,685,319,356,841,
984,173,335,377,587,289,729,359,455,610,040,275,933,237,499,144,692,486,172,
405,412,600,241,222,695,830,469,921,094,591,133,613,120,428,292,344,152,505,
861,769,118,638,368,431,648,769,276,036,559,640,261,291,844,068,291,699,830,
257,423,898,423,177,795,180,841,093,321,612,028,579,718,586,889,960,061,369,
703,090,557,728,473,797,745,796,849,851,583,526,374,254,838,586,593,892,943,
968,149,287,853,210,317,776,340,513,347,361,796,996,914,984,699,789,032,572,
204,584,265,616,600,330,929,291,842,215,170,301,941,604,929,082,868,677,123,
837,750,451,280,042,556,306,597,935,246,708,655,070,954,881,352,493,141,279,
770,334,966,395,959,170,290,160,799,746,720,047,989,902,127,350,249,166,925,
595,794,698,657,277,250,856,298,226,401,436,713,781,488,037,980,040,161,904,
908,082,858,348,140,699,724,745,075,375,756,678,311,303,938,984,992,928,257,
265,099,469,732,052,152,567,178,380,784,227,218,551,480,084,052,045,597,655,
286,126,071,925,613,351,921,883,305,990,903,397,269,363,893,704,865,603,862,
913,470,981,518,269,150,461,422,937,358,462,504,873,563,839,183,037,601,577,
275,180,116,827,296,382,719,991,770,819,135,441,836,833,950,947,537,056,380,
966,862,234,087,087,441,463,118,505,967,272,317,189,450,006,639,788,867,691,
004,277,607,365,911,046,556,494,148,015,161,585,036,806,865,993,748,785,853,
839,366,789,165,740,438,651,461,198,011,353,726,072,877,469,019,924,485,207,
869,422,179,833,393,142,403,811,798,515,739,008,594,201,266,684,062,377,022,
430,022,463,927,333,999,286,075,213,057,709,980,075,471,121,823,616,367,236,
026,851,160,543,077,537,372,874,882,973,909,111,136,031,475,610,226,764,001,
096,181,293,723,202,272,925,765,288,648,073,733,595,387,056,409,554,048,551,
460,845,462,099,837,375,343,099,992,010,299,833,581,066,216,430,925,708,669,
905,299,447,630,899,062,947,619,840,634,695,386,896,078,252,151,549,022,592,
234,900,702,425,150,277,281,912,212,220,679,783,089,760,943,715,615,286,346,
665,741,655,102,025,788,932,487,956,679,684,594,445,751,350,441,941,433,736,
088,630,809,445,252,689,104,344,016,489,449,545,369,873,038,906,068,523,569,
207,771,714,009,857,601,810,836,756,253,189,999,572,672,458,783,118,518,808,
708,828,580,155,919,973,808,262,494,134,858,360,924,342,853,846,098,744,993,
334,830,712,370,712,578,131,895,587,073,594,280,648,625,900,652,369,829,996,
248,731,990,848,382,069,999,438,157,632,253,958,399,832,162,168,281,596,611,
700,139,962,570,998,972,570,375,336,431,368,656,883,731,808,393,080,272,305,
923,068,618,020,713,646,256,944,901,257,870,254,942,457,502,948,061,157,563,
063,907,951,981,406,341,433,688,756,787,051,511,724,418,797,028,117,135,435,
435,528,094,294,759,990,808,623,273,502,953,974,291,038,599,629,823,023,184,
472,662,282,168,626,075,911,507,262,479,584,410,660,537,616,840,819,854,809,
282,180,275,798,773,258,991,266,122,162,324,852,286,280,977,470,780,410,793,
021,354,605,800,530,686,031,937,111,241,677,403,384,292,414,055,236,912,182,
575,102,782,777,449,650,544,569,581,545,469,017,615,883,006,070,644,574,549,
515,130,668,689,210,572,393,452,057,589,293,950,067,082,978,880,359,258,188,
136,865,980,266,903,514,044,895,279,613,467,432,041,700,173,690,619,119,427,
340,707,575,574,474,550,964,813,974,436,567,664,722,620,747,788,302,733,548,
040,971,038,644,451,770,140,170,044,340,655,036,459,951,017,891,349,684,291,
462,432,725,370,575,803,187,273,018,626,018,720,234,991,314,926,748,805,764,
145,400,407,902,677,441,900,253,949,214,392,796,221,624,084,742,741,664,482,
598,041,452,690,883,766,635,274,582,648,208,239,839,176,608,067,512,788,296,
804,430,312,515,154,902,807,472,747,619,797,713,904,376,975,489,802,092,814,
618,425,769,877,623,151,357,763,695,767,441,457,011,130,611,042,738,854,141,
600,405,672,992,133,069,066,394,329,840,183,630,045,749,037,720,534,445,857,
695,940,183,219,937,756,718,576,952,304,751,417,308,499,280,116,732,273,098,
897,650,786,332,470,255,746,614,514,760,440,113,227,514,055,485,428,458,211,
233,355,590,016,597,130,521,513,513,888,462,165,993,773,111,818,528,104,367,
601,979,260,135,751,289,554,096,961,190,710,496,798,861,933,798,289,726,416,
530,114,809,113,390,969,351,738,931,135,896,000,442,581,939,524,873,882,961,
524,628,789,549,403,036,325,812,574,842,077,006,624,539,275,749,215,454,566,
177,564,365,995,534,001,547,451,097,731,028,472,340,074,854,806,006,134,033,
467,354,925,555,842,793,091,311,769,342,107,758,877,011,972,765,402,268,337,
340,846,631,855,430,874,528,162,394,551,807,687,854,379,099,368,765,909,466,
058,299,458,093,306,980,707,821,748,889,144,592,758,918,509,201,460,151,034,
626,134,786,722,216,953,528,631,038,985,777,071,116,515,230,034,450,680,076,
367,315,541,138,168,633,817,323,400,090,703,667,305,831,297,994,737,494,599,
355,529,305,843,795,935,276,131,321,805,986,809,437,420,793,981,333,931,790,
744,324,861,137,022,109,001,593,344,190,548,003,825,146,074,731,206,528,961,
674,603,446,372,449,370,552,947,569,355,894,745,931,323,825,817,401,060,862,
653,226,501,569,934,554,278,779,723,177,119,186,167,217,069,524,279,733,502,
963,916,624,138,451,274,200,318,304,853,061,000,432,314,288,509,574,072,309,
303,361,717,567,307,498,455,047,191,867,577,653,704,527,457,041,417,404,948,
827,450,801,275,582,195,471,925,405,331,093,960,944,119,095,643,365,334,244,
587,953,278,729,399,906,923,418,778,239,853,545,881,342,280,443,417,095,148,
435,010,402,692,392,587,047,224,269,131,811,423,413,835,257,347,517,238,005,
090,425,923,611,396,894,975,842,946,243,517,449,186,668,845,698,182,173,497,
045,685,654,085,739,706,708,845,273,070,334,889,475,783,672,363,417,883,343,
525,811,105,006,132,143,674,248,871,649,482,423,227,771,682,908,483,657,313,
074,251,677,809,420,672,244,126,252,439,025,113,458,350,016,227,440,029,478,
818,635,515,537,954,687,628,008,047,962,871,708,188,481,710,114,552,354,329,
841,953,426,790,212,360,979,333,533,891,389,130,105,467,684,668,842,510,238,
749,683,146,410,252,167,734,616,913,901,491,016,858,048,897,659,921,523,606,
249,520,950,335,539,572,638,771,774,247,685,599,725,946,481,383,637,508,423,
662,086,649,850,475,316,206,767,999,343,392,163,491,870,179,871,589,375,325,
854,087,752,213,222,472,444,271,530,360,901,607,432,509,475,274,042,649,826,
028,537,382,797,538,845,649,031,105,490,035,881,021,975,283,418,196,495,635,
817,749,886,297,453,984,468,133,876,984,101,354,865,925,274,847,016,150,794,
735,660,788,532,764,190,666,604,687,267,704,005,262,416,303,814,465,682,603,
455,618,712,781,119,986,914,447,256,474,105,509,633,821,118,387,793,928,176,
694,592,902,764,958,360,019,322,835,384,606,890,982,478,376,828,903,953,104,
318,589,515,511,422,967,457,405,280,636,127,640,030,846,853,831,024,664,186,
440,111,591,140,056,506,316,556,189,452,388,053,284,902,124,078,580,199,509,
663,002,230,472,409,214,259,535,524,107,608,348,538,942,169,667,798,099,536,
564,651,288,087,325,814,390,545,860,401,236,341,411,904,715,235,012,287,254,
553,522,957,083,290,914,456,163,488,386,230,403,800,416,541,777,942,274,891,
622,637,174,736,716,149,325,755,834,123,612,747,041,249,014,021,815,678,707,
740,986,155,173,782,711,638,220,046,345,464,040,644,144,507,986,578,561,954,
525,371,553,787,154,863,718,258,829,179,445,626,175,759,307,215,126,588,745,
831,610,888,738,051,108,020,501,673,421,231,272,333,834,200,670,968,599,027,
054,691,332,289,166,379,537,693,711,027,006,287,283,712,995,578,533,347,277,
168,669,537,521,418,066,496,394,649,567,107,161,676,460,539,973,734,828,038,
928,018,212,003,341,978,589,476,874,315,641,404,412,038,122,842,571,122,982,
754,509,400,404,686,307,731,990,048,344,538,568,872,289,192,924,879,477,207,
042,035,157,319,292,835,267,212,598,797,041,458,603,624,623,052,209,370,024,
967,173,960,335,804,506,376,448,219,459,745,134,959,601,581,610,938,168,765,
519,108,735,019,666,924,205,000,160,127,800,450,749,423,354,618,208,866,434,
552,785,306,934,887,641,968,706,855,199,716,508,398,272,740,619,548,723,812,
688,359,482,059,101,621,916,056,597,806,494,121,465,806,178,825,604,299,480,
263,079,999,051,534,048,323,829,457,593,875,070,582,822,276,390,626,984,467,
146,010,682,713,495,724,029,991,529,863,456,247,784,477,307,215,729,712,353,
637,935,198,019,368,951,765,050,677,883,145,343,273,029,173,038,137,212,779,
996,727,912,532,343,922,645,547,720,906,391,306,623,877,788,289,313,208,184,
092,547,439,422,202,416,714,766,262,126,024,026,868,550,477,017,339,157,813,
822,571,108,591,950,412,864,779,072,739,852,879,011,432,592,057,356,541,890,
876,022,120,878,858,139,494,112,954,309,059,418,717,492,358,922,620,974,647,
116,894,066,881,910,964,907,991,029,695,239,106,039,674,737,115,445,744,027,
165,574,033,351,583,427,710,683,549,713,329,934,239,333,907,231,838,770,819,
388,682,718,190,456,112,586,775,416,853,440,807,531,931,000,823,391,254,040,
950,461,415,479,294,804,616,930,502,149,741,856,871,820,025,655,001,189,477,
580,681,589,420,850,076,745,764,313,613,569,478,754,836,898,354,516,285,942,
561,015,996,529,223,897,468,080,095,087,184,112,401,677,120,957,510,966,892,
731,021,194,319,427,776,871,934,100,856,725,242,288,136,251,689,460,060,884,
014,826,977,387,073,853,228,470,458,905,332,136,338,033,528,463,036,923,426,
459,642,467,129,342,562,767,048,422,914,210,828,487,227,675,208,336,977,698,
897,342,780,008,429,968,353,908,108,070,009,028,834,882,706,189,732,581,539,
640,673,453,457,355,251,573,300,129,308,299,867,918,296,188,707,138,849,803,
844,544,808,537,710,917,506,688,794,842,840,348,819,969,151,405,642,497,979,
069,119,417,357,059,596,162,663,065,533,033,745,447,217,593,027,261,031,161,
264,635,092,221,332,948,701,460,861,698,625,438,996,411,346,139,932,951,317,
762,466,655,688,542,015,026,956,046,435,535,286,551,179,162,731,446,934,570,
618,587,283,329,213,757,249,667,280,910,035,463,585,847,449,536,688,167,208,
628,883,679,582,564,683,984,318,404,521,208,134,367,403,153,909,024,363,536,
633,032,203,261,648,472,068,061,734,683,079,272,337,669,673,831,647,643,610,
456,261,212,584,511,038,448,953,393,012,986,382,531,738,885,515,956,056,509,
338,679,586,159,423,167,300,620,007,620,537,105,218,968,251,884,974,338,322,
145,682,622,761,306,866,350,662,551,591,608,182,469,546,751,386,902,889,251,
390,906,124,694,306,224,297,322,412,266,506,709,773,151,043,090,516,794,293,
893,814,502,843,843,339,369,188,862,452,759,883,387,899,167,471,955,857,536,
206,232,239,825,203,979,523,923,283,065,106,287,595,785,524,660,106,219,887,
533,486,149,973,473,281,143,255,231,588,336,625,444,401,092,303,342,775,008,
642,951,772,607,657,074,384,263,576,303,989,040,894,406,096,614,708,812,252,
085,177,008,076,301,787,121,204,243,546,108,953,883,512,102,020,303,480,184,
945,480,796,376,198,846,770,459,476,691,907,101,622,440,213,928,580,633,486,
621,374,811,206,452,879,911,807,842,822,641,278,887,805,560,803,534,429,220,
044,125,467,463,252,102,779,617,651,912,451,846,204,307,167,302,815,638,225,
821,792,410,220,552,099,498,982,116,527,222,965,410,932,001,983,592,695,654,
116,843,538,355,154,044,103,353,929,259,120,569,094,081,565,700,551,566,096,
889,001,462,058,040,865,207,832,228,241,494,417,998,438,918,539,940,085,991,
343,276,421,419,960,619,258,999,623,884,050,071,836,547,238,525,362,582,649,
183,614,835,310,262,806,918,183,199,084,625,842,422,100,023,019,441,463,576,
881,020,739,294,135,523,914,964,591,870,048,784,536,123,058,832,597,170,695,
575,927,609,608,712,254,232,762,528,680,277,643,593,883,872,015,852,527,521,
099,528,623,935,935,871,668,528,869,840,274,877,822,885,341,396,506,932,752,
747,377,594,164,032,112,358,698,751,870,515,946,939,312,482,943,759,533,202,
439,465,084,644,786,711,280,594,973,738,321,510,984,762,721,451,872,662,922,
145,545,641,641,892,000,000,027,866,067,583,772,529,594,779,331,266,334,226,
630,143,181,801,447,385,472,181,505,935,269,521,782,545,776,268,375,593,516,
124,880,076,648,334,401,304,368,234,548,498,572,622,190,724,261,279,004,321,
211,588,959,820,972,022,836,962,597,709,886,771,112,135,656,444,495,599,622,
243,484,405,759,632,786,201,947,867,108,927,494,921,093,982,885,972,628,157,
563,008,737,101,495,862,025,390,848,977,630,589,164,238,795,974,369,314,408,
105,499,218,298,828,122,172,096,941,540,457,215,523,476,925,834,549,163,113,
299,404,009,692,939,286,896,172,353,396,650,844,327,486,895,763,089,115,307,
919,097,149,263,541,152,956,228,742,721,036,887,346,000,958,350,767,210,113,
474,483,493,906,703,906,370,751,652,485,059,582,532,850,178,055,452,525,136,
690,728,711,854,168,842,326,728,765,980,457,943,625,790,077,159,075,297,980,
544,906,885,913,181,840,663,595,678,839,710,637,623,883,696,799,833,673,180,
275,156,876,430,745,629,273,379,602,519,618,484,511,704,769,612,124,529,417,
732,248,045,746,698,442,840,259,783,505,100,262,283,169,848,724,045,592,688,
638,227,219,127,067,117,362,805,881,505,182,996,281,627,290,847,634,325,939,
698,173,060,124,098,462,688,500,070,553,565,844,782,206,185,008,688,268,441,
409,974,066,143,657,361,469,681,402,167,402,395,238,119,392,575,808,798,252,
468,849,641,514,995,666,373,820,533,265,265,506,258,535,912,588,834,490,961,
933,216,518,951,798,128,002,256,395,616,167,562,776,846,574,530,135,228,872,
099,722,910,559,143,098,523,290,050,789,514,192,485,069,924,987,389,480,780,
595,924,571,506,688,595,259,044,027,297,038,101,298,470,620,460,942,188,343,
072,208,054,345,685,328,352,576,151,034,051,554,762,180,124,633,246,936,359,
605,912,514,912,596,950,850,147,559,568,031,305,287,671,201,799,407,973,356,
865,697,766,858,663,000,978,208,298,740,007,118,743,524,533,153,501,979,953,
469,114,398,575,736,996,590,166,794,314,604,528,166,406,653,755,018,802,906,
180,638,412,430,368,499,750,730,800,535,473,684,430,217,112,059,521,671,093,
314,889,526,997,942,737,525,951,551,971,618,473,936,583,221,316,324,485,587,
878,113,173,583,092,533,430,718,935,841,615,845,696,883,643,163,257,098,975,
001,063,879,679,326,202,189,838,793,115,354,980,126,076,973,771,341,766,558,
665,018,138,515,844,952,866,310,473,540,708,828,049,080,853,503,219,704,373,
796,130,212,467,740,371,051,399,297,902,047,268,437,060,293,170,615,428,653,
958,179,747,108,082,627,302,907,234,500,820,676,998,777,550,714,431,366,824,
687,086,872,555,737,754,350,841,103,685,425,918,425,811,484,176,592,030,824,
162,487,890,982,037,788,926,560,470,944,680,963,871,207,693,106,809,140,653,
455,280,700,160,767,691,517,665,746,168,278,990,683,843,444,096,263,251,783,
006,530,170,563,733,054,796,704,440,791,611,105,895,324,495,405,519,505,846,
477,716,847,231,303,532,088,535,805,264,455,931,930,327,337,075,176,507,533,
635,493,627,259,820,730,315,881,268,122,077,213,520,189,843,350,531,071,824,
317,449,245,909,061,837,007,624,070,364,250,319,156,083,773,691,171,512,978,
422,106,251,977,458,770,370,026,440,491,812,002,443,023,680,516,427,561,845,
295,970,942,882,485,169,994,075,583,513,863,844,844,810,357,299,388,410,793,
673,464,113,237,511,605,728,423,791,206,394,157,459,343,214,956,112,197,646,
837,979,181,258,434,610,017,096,729,470,097,941,178,535,118,504,231,285,520,
021,653,185,665,291,841,522,455,423,709,706,055,306,186,834,690,531,558,085,
742,555,951,827,415,511,723,043,533,720,371,021,594,193,822,935,273,299,226,
395,147,781,115,905,465,142,911,291,387,511,631,215,741,388,812,441,606,155,
945,643,531,332,624,734,065,932,006,734,694,624,448,461,238,391,138,139,753,
215,741,435,864,701,838,432,386,123,809,442,014,888,413,971,474,680,093,597,
846,856,503,349,296,439,983,525,523,458,215,708,984,272,799,990,868,453,433,
232,221,176,541,310,108,207,343,279,922,786,743,368,436,961,671,655,624,367,
768,167,137,757,540,359,271,971,410,583,374,356,874,795,591,327,561,411,226,
303,843,137,827,892,890,603,138,627,801,351,137,933,938,061,977,048,524,011,
568,040,954,660,142,355,069,677,428,072,808,608,652,225,572,659,695,708,947,
964,047,997,142,548,235,239,974,530,183,539,772,177,277,696,736,595,849,091,
415,352,386,592,999,788,384,489,138,120,769,583,380,030,655,035,622,539,324,
568,017,722,348,010,522,007,219,163,956,054,659,385,107,576,468,712,950,579,
799,330,900,231,773,225,484,763,137,516,381,236,330,533,686,644,963,655,415,
968,094,392,690,184,348,038,345,885,961,245,117,100,630,933,907,517,852,791,
089,678,659,743,167,745,850,612,938,499,472,286,526,543,348,210,432,632,346,
178,542,340,401,224,480,129,937,383,110,716,782,643,138,701,004,891,803,557,
625,157,784,041,204,073,880,652,008,938,888,047,282,257,268,899,718,187,326,
074,306,163,622,905,292,612,162,787,358,675,456,895,163,960,450,118,019,110,
262,511,383,083,360,998,006,932,719,560,719,713,016,341,712,585,398,383,124,
409,985,187,346,027,274,157,626,918,614,083,140,186,909,468,808,427,979,272,
810,299,466,462,100,524,970,745,255,359,593,498,338,010,549,218,023,422,017,
223,005,767,885,560,030,317,989,741,377,263,899,511,393,251,812,786,843,126,
498,227,911,024,131,962,922,456,535,839,320,494,290,136,211,253,189,680,373,
189,023,726,827,421,470,518,434,244,320,962,230,855,136,353,297,048,781,305,
068,802,228,961,581,376,936,963,456,352,777,202,115,747,057,362,278,326,643,
501,560,014,474,309,345,726,499,842,153,414,692,688,419,527,149,948,101,743,
502,922,597,993,210,965,553,651,299,326,668,799,446,921,088,618,046,878,231,
644,303,441,202,702,846,964,506,501,024,574,992,472,175,931,300,121,047,527,
862,503,898,947,510,791,652,840,376,307,180,534,344,413,431,548,423,359,359,
916,367,250,339,065,923,572,606,271,672,457,971,444,488,868,046,047,375,278,
989,559,507,586,050,701,874,467,404,518,650,823,858,408,229,105,536,231,475,
348,483,887,080,693,415,193,930,445,309,282,099,418,010,047,929,720,514,561,
288,715,153,671,113,029,667,062,445,242,439,706,400,380,382,635,193,073,875,
438,965,247,266,184,019,377,517,686,676,653,400,048,859,919,408,337,868,080,
910,566,855,778,833,021,228,747,671,380,630,749,724,389,219,043,504,914,874,
094,539,545,866,005,050,848,595,862,629,924,501,805,846,200,036,566,167,534,
082,504,417,947,733,292,543,085,869,631,733,729,278,517,059,586,587,353,212,
751,384,567,102,989,936,817,653,993,018,227,963,660,699,660,631,663,197,532,
707,424,202,856,918,930,404,559,090,775,939,656,199,032,921,879,461,683,990,
195,477,130,858,813,363,017,894,820,500,228,667,864,190,910,415,416,377,678,
455,549,964,732,110,510,647,010,678,136,976,173,004,423,690,871,916,900,048,
314,374,304,909,187,122,077,109,058,577,843,324,326,754,603,915,392,882,957,
538,166,854,086,081,561,860,392,983,866,218,566,678,729,528,007,393,158,054,
135,820,894,573,305,302,571,561,576,789,343,684,302,804,027,278,665,712,365,
660,299,307,636,929,769,255,876,784,857,406,325,715,884,426,236,054,945,233,
092,166,048,614,913,426,066,689,703,521,644,613,972,100,622,849,794,249,042,
341,370,652,029,176,773,100,758,975,397,594,252,596,792,217,745,006,370,870,
675,096,075,880,635,622,981,985,809,665,727,049,826,709,488,126,927,419,799,
659,666,586,142,161,545,668,979,835,154,707,331,390,557,785,664,423,553,835,
146,231,702,486,903,923,610,740,616,194,430,973,881,131,766,728,263,032,430,
156,248,621,481,591,892,347,205,337,541,032,337,904,230,143,804,036,799,261,
404,720,587,323,810,324,180,638,223,680,163,038,611,250,534,854,082,257,780,
902,129,144,806,235,790,501,509,166,385,080,766,359,512,297,743,172,246,450,
942,016,822,586,428,592,184,924,647,932,196,076,327,453,115,879,707,314,717,
181,293,829,331,618,982,631,385,012,243,630,978,125,822,585,825,623,459,245,
041,877,624,744,397,220,718,017,272,218,813,957,283,841,836,206,364,675,704,
043,902,708,886,171,206,957,590,928,984,098,086,950,031,213,460,224,458,632,
971,043,550,752,459,062,896,783,590,855,210,911,455,152,981,235,751,256,960,
727,253,550,093,449,601,982,662,814,296,319,414,541,891,926,738,273,382,778,
361,191,021,585,994,800,185,729,183,622,076,028,420,296,539,425,148,476,332,
795,022,061,218,169,951,071,616,333,267,682,250,194,169,108,814,653,264,269,
974,954,572,720,242,751,773,623,317,037,645,699,669,899,874,997,957,785,583,
703,465,085,401,882,607,501,819,838,143,201,900,310,926,010,439,963,244,974,
625,092,930,614,425,647,333,892,291,738,149,038,772,420,289,778,269,472,167,
531,714,984,464,858,618,851,408,949,909,393,530,853,844,299,554,081,065,381,
321,729,162,262,453,543,461,691,336,420,741,828,383,054,142,646,047,275,446,
011,690,861,306,325,491,023,153,701,289,834,790,366,136,845,477,625,360,495,
307,681,862,439,546,342,680,904,761,579,303,976,003,755,257,775,829,287,795,
705,476,347,877,001,050,658,799,271,914,849,181,083,245,061,039,065,691,647,
583,337,909,689,392,422,828,866,138,194,761,549,149,687,625,563,151,920,618,
409,897,156,348,998,925,600,727,271,142,396,456,317,586,182,518,052,030,406,
407,189,168,086,074,659,852,223,952,999,245,422,386,800,449,453,995,961,066,
375,830,524,583,822,675,232,149,636,365,767,651,632,015,218,957,939,636,439,
481,265,540,378,226,572,632,537,876,853,326,090,009,007,326,255,473,975,278,
792,219,214,343,539,670,884,771,161,534,808,771,850,189,670,776,022,140,773,
171,166,672,605,913,417,538,123,850,234,287,409,616,141,389,137,865,826,270,
937,744,255,441,485,712,674,833,565,502,935,640,570,303,340,028,215,578,377,
241,828,747,561,405,895,915,425,629,979,878,069,058,879,060,141,577,286,483,
502,130,659,889,797,056,807,242,386,785,315,456,233,582,513,129,911,379,473,
686,775,828,809,276,941,726,120,712,544,992,712,545,635,115,558,074,874,187,
726,306,227,373,194,903,654,149,060,437,401,884,299,797,910,434,311,736,306,
301,604,812,438,689,864,557,058,374,598,313,938,203,688,453,211,152,999,043,
977,582,213,843,965,026,629,019,868,162,621,846,966,712,642,983,338,761,839,
077,440,274,627,889,645,116,198,543,991,864,711,164,639,392,942,273,031,527,
324,665,805,352,977,329,276,738,822,825,506,578,216,427,374,206,283,298,399,
691,294,018,790,994,248,221,938,921,174,968,024,678,669,355,232,311,944,449,
436,385,885,312,688,274,410,079,524,418,011,147,781,052,198,458,120,265,144,
042,933,550,251,445,649,590,951,309,683,015,734,072,150,717,131,102,304,244,
881,237,894,490,207,327,015,205,418,591,888,100,267,616,548,164,739,594,342,
192,704,668,528,867,032,018,028,733,021,379,779,808,183,544,445,597,059,457,
494,627,881,705,616,176,909,091,719,575,157,663,258,350,015,977,589,490,187,
098,559,084,540,638,464,048,964,852,372,092,087,417,899,226,078,603,581,823,
776,227,392,115,915,592,883,205,192,311,907,482,405,399,188,892,148,720,636,
817,499,359,789,115,802,765,806,091,514,751,723,725,987,266,067,894,141,941,
848,960,581,712,251,381,335,458,266,643,518,464,979,530,754,457,232,075,701,
321,279,661,253,807,222,454,243,006,786,256,832,384,722,571,530,209,750,144,
085,175,737,524,819,018,367,569,026,783,859,363,330,386,863,913,086,141,478,
191,984,126,151,843,331,886,993,250,959,890,474,389,712,369,472,910,949,111,
623,422,823,889,325,298,893,715,003,489,000,268,494,023,159,722,338,295,880,
561,124,541,289,283,449,111,083,539,844,734,611,645,627,769,341,845,228,187,
774,524,056,428,803,148,514,108,727,626,816,659,956,514,118,095,143,593,763,
520,259,468,251,714,874,058,428,330,739,067,610,892,364,873,726,930,984,155,
652,111,539,095,893,704,685,119,106,460,945,146,194,895,231,985,879,010,817,
558,052,644,007,187,071,423,505,762,650,902,588,260,858,413,881,010,617,009,
997,545,112,929,833,971,213,133,917,303,256,064,617,079,256,726,268,751,871,
116,897,385,496,491,382,382,852,766,658,296,486,392,973,493,124,716,018,960,
429,878,667,178,021,982,499,394,883,449,226,442,519,182,508,980,735,629,200,
429,603,175,820,635,172,327,414,965,354,746,309,928,654,077,803,442,849,894,
843,522,990,427,191,971,561,061,495,860,375,431,761,359,124,521,580,509,073,
252,639,380,275,763,128,122,097,231,445,892,045,595,881,539,342,090,423,539,
684,375,186,864,174,495,194,338,608,268,382,619,952,555,665,725,146,799,958,
077,321,160,886,088,558,811,775,007,931,726,004,422,257,802,188,720,309,777,
576,450,065,229,057,826,121,944,171,317,246,663,229,514,321,210,970,435,904,
087,988,431,685,712,756,575,434,249,544,837,142,576,670,352,164,800,966,235,
500,205,580,824,558,300,214,183,870,268,771,891,588,233,169,279,763,544,806,
870,393,564,052,210,795,424,925,470,127,124,757,665,516,337,803,520,633,946,
789,043,529,649,323,234,519,946,205,105,078,248,322,797,709,656,505,401,293,
575,889,490,844,567,013,961,518,858,089,867,212,102,238,845,417,425,641,774,
942,897,367,774,305,721,208,179,820,148,455,973,453,674,062,480,790,111,428,
916,829,378,376,089,216,786,923,658,964,892,756,785,998,079,436,371,080,148,
004,566,811,824,204,612,972,410,478,232,925,084,242,437,188,145,647,105,267,
920,824,642,277,236,295,625,951,874,929,049,478,323,870,702,548,461,754,102,
992,632,130,105,149,873,753,433,508,536,977,144,330,133,470,813,122,862,563,
653,934,833,664,760,228,951,804,923,347,971,266,931,836,685,732,972,109,522,
111,591,713,553,015,616,366,085,765,126,966,059,853,942,254,707,911,279,246,
860,483,563,721,667,147,174,092,275,078,238,577,680,478,095,904,293,719,957,
654,432,193,102,727,453,642,888,989,497,075,854,616,235,668,156,938,452,335,
610,306,067,018,582,820,330,814,192,577,763,036,376,687,786,337,080,521,845,
221,217,071,317,080,346,722,283,422,654,691,673,758,084,419,867,993,038,887,
192,650,945,590,784,781,541,327,113,297,594,348,067,366,650,151,707,109,864,
121,121,960,408,228,324,423,651,881,510,010,306,898,732,845,538,180,308,065,
632,118,442,534,132,649,458,481,552,619,180,890,185,920,428,880,485,432,121,
120,663,795,343,887,748,337,125,231,426,857,085,615,636,718,479,520,389,787,
753,079,593,604,428,480,332,627,669,729,046,785,304,073,244,277,240,909,467,
517,162,750,046,431,987,150,871,339,793,727,255,703,122,586,080,113,661,655,
381,734,314,131,200,992,341,279,894,588,963,258,079,893,380,102,463,936,199,
366,376,019,819,736,921,331,054,937,961,010,105,762,045,261,452,279,513,173,
396,995,649,327,271,868,455,722,589,923,263,092,758,024,133,148,741,951,995,
061,772,896,984,549,313,951,750,674,389,628,241,603,427,520,746,200,108,222,
911,377,531,293,989,832,714,523,538,867,585,208,455,971,102,550,998,758,405,
010,099,351,160,341,657,126,061,375,331,583,488,831,807,868,801,739,657,947,
793,868,902,928,147,104,342,808,073,174,037,715,114,773,574,808,231,610,408,
092,039,670,820,586,136,698,106,401,872,555,494,706,359,419,685,514,990,629,
941,339,592,644,400,086,797,440,468,707,545,867,697,192,811,693,596,123,460,
966,175,193,991,568,536,064,975,761,310,470,740,591,828,291,593,043,609,044,
665,145,944,569,057,637,899,124,763,459,631,352,828,275,919,974,722,719,023,
835,389,796,028,710,882,018,531,531,816,289,992,548,372,444,013,095,822,192,
597,825,597,825,535,228,426,524,131,610,639,505,362,473,414,188,701,934,723,
122,887,597,145,091,630,738,571,656,061,822,363,226,418,870,469,228,205,801,
270,073,987,505,022,678,581,975,355,008,352,783,964,287,020,859,117,589,098,
480,713,202,921,945,198,229,502,554,377,529,015,140,892,957,437,705,969,492,
501,504,189,210,878,744,545,573,596,762,543,332,535,249,810,612,241,721,096,
405,377,075,678,144,200,125,232,153,587,724,932,520,364,602,104,843,193,870,
504,170,943,807,920,012,349,235,261,663,489,661,636,457,150,104,032,410,950,
075,616,443,711,880,351,796,538,215,560,208,492,431,044,388,641,282,893,519,
660,301,875,281,642,647,833,237,932,980,508,591,942,376,917,776,540,710,026,
233,130,231,727,090,909,156,972,481,951,428,728,843,152,741,382,817,064,144,
963,871,262,178,277,654,151,705,170,547,813,248,320,327,576,854,598,368,284,
012,142,315,502,565,594,888,646,302,090,137,984,780,612,767,969,362,462,534,
330,960,666,155,956,400,535,068,971,969,308,646,381,768,349,182,040,277,004,
719,939,022,363,525,723,718,165,769,171,112,862,471,749,340,364,003,481,951,
388,764,410,256,531,220,603,528,371,385,809,628,881,838,258,032,730,395,996,
781,536,921,533,635,558,989,213,623,531,595,283,590,238,344,173,125,986,938,
576,527,402,334,168,345,412,093,084,747,418,802,556,802,179,772,568,897,717,
568,364,543,605,024,287,661,732,842,324,736,999,872,610,588,519,351,354,117,
073,285,811,370,609,114,587,939,590,971,078,390,065,691,036,375,197,480,563,
852,789,936,677,765,644,665,600,087,654,207,459,918,447,509,347,117,843,676,
514,439,119,878,879,101,659,108,518,134,191,832,751,187,127,901,869,395,295,
699,733,989,203,304,882,426,040,875,967,988,961,574,873,392,804,719,867,613,
289,119,508,161,273,379,330,476,032,846,406,102,414,566,826,586,710,210,677,
428,322,506,762,380,841,734,742,312,989,370,125,297,838,145,063,403,494,201,
517,935,104,030,288,341,859,572,577,215,063,218,341,893,623,156,378,174,704,
483,878,930,565,710,251,171,775,271,396,401,787,719,984,632,711,126,601,225,
338,119,540,460,605,076,211,310,411,876,729,119,649,027,116,943,016,621,358,
833,304,556,727,435,599,804,745,090,426,997,004,536,266,749,284,066,598,247,
271,508,925,204,150,602,807,466,815,753,859,270,078,356,179,799,230,105,640,
378,665,678,464,088,465,633,714,105,458,320,913,019,757,482,450,834,948,758,
626,337,353,136,614,799,804,172,437,408,063,887,195,328,457,348,770,052,165,
223,319,533,394,197,013,045,949,897,120,126,824,531,046,525,991,481,682,838,
006,563,151,396,682,952,206,061,443,346,790,263,946,808,377,153,834,102,999,
392,881,622,301,288,227,794,039,620,314,622,944,125,548,020,024,045,391,979,
334,349,319,177,860,808,142,564,452,416,894,669,149,836,953,313,028,196,159,
945,428,812,547,352,517,596,584,398,243,818,120,749,669,473,974,043,222,803,
752,399,493,006,210,277,781,355,295,303,091,788,487,602,887,878,852,545,086,
103,538,335,843,714,862,001,763,849,068,793,892,034,475,179,483,711,637,615,
341,939,216,534,126,560,451,942,988,320,957,451,260,499,782,778,046,178,311,
303,290,268,073,039,482,593,943,391,692,136,760,926,238,665,188,272,043,963,
539,594,931,488,895,390,971,065,868,192,423,004,508,983,199,283,558,602,984,
835,369,783,095,852,752,855,094,453,829,460,285,019,561,719,741,662,321,652,
426,863,505,012,619,676,159,320,230,226,130,353,773,768,757,032,818,219,628,
097,236,857,847,147,859,350,624,423,270,107,365,561,311,106,838,378,337,541,
848,483,954,831,377,340,728,737,156,692,052,429,003,261,310,772,195,408,026,
978,811,269,781,449,505,460,482,730,440,567,562,134,215,932,750,491,866,849,
121,805,210,146,877,018,544,617,124,893,709,257,385,110,408,193,975,359,344,
063,096,471,866,580,053,840,137,038,875,637,371,487,984,214,701,738,423,684,
677,532,507,107,121,122,839,948,290,852,965,574,821,414,650,471,993,949,486,
434,239,700,125,639,091,892,590,030,962,093,690,769,312,293,066,159,525,736,
840,423,287,204,449,867,158,177,533,000,186,496,524,732,125,465,942,571,362,
304,925,145,790,003,870,732,288,472,962,896,202,019,702,403,381,982,029,170,
936,245,457,485,337,091,955,716,160,106,288,291,635,721,102,894,872,556,892,
379,528,953,700,906,629,804,109,680,551,812,421,686,656,714,162,499,633,224,
276,034,049,925,315,745,508,045,331,564,278,073,599,223,720,072,353,431,088,
173,680,653,509,782,772,497,504,259,511,722,601,429,139,562,862,084,422,984,
401,468,862,160,811,532,642,767,137,612,249,310,467,677,563,691,451,421,425,
411,141,034,966,596,589,847,112,371,144,297,687,506,852,389,470,454,499,455,
413,189,364,362,804,181,470,767,879,055,640,201,728,831,399,627,729,758,617,
983,198,865,145,034,596,340,546,689,195,318,342,126,003,059,095,522,452,233,
611,244,378,863,958,512,281,426,320,474,745,083,213,350,204,988,804,902,772,
614,476,089,759,938,657,545,651,633,598,249,580,208,503,321,323,508,033,811,
671,077,504,735,851,507,753,142,724,691,426,428,272,815,377,563,924,323,987,
367,842,297,579,864,896,443,068,966,941,858,924,911,441,720,334,185,444,425,
902,777,434,200,838,137,410,693,200,152,630,432,044,024,859,772,976,537,625,
011,015,233,950,399,664,977,410,256,132,201,961,001,536,084,095,566,391,759,
110,510,734,230,241,653,361,343,705,677,135,623,423,886,656,293,634,695,689,
790,613,902,208,787,742,873,038,393,743,398,977,525,100,419,886,945,861,162,
511,875,229,743,231,623,977,956,836,037,966,087,615,471,870,415,967,587,064,
666,363,832,957,760,589,729,909,150,292,374,081,950,254,858,556,234,951,709,
212,676,941,941,245,442,552,340,603,499,633,899,028,788,270,038,446,049,888,
483,093,088,409,106,006,222,810,939,572,165,695,350,993,094,702,839,176,571,
640,756,242,065,148,628,081,640,935,330,620,915,121,864,441,387,101,179,316,
920,926,735,603,520,900,128,522,703,203,835,835,687,364,355,078,675,347,195,
740,689,643,419,054,428,208,959,337,516,472,911,149,506,011,004,169,208,521,
307,861,509,423,146,193,139,874,120,597,032,329,841,225,099,751,699,528,786,
585,768,154,395,946,242,575,616,005,406,095,783,221,324,221,945,250,492,949,
935,322,266,031,393,865,320,248,242,558,937,954,990,043,093,283,670,702,124,
125,379,482,907,398,167,535,217,969,775,811,001,438,110,471,010,348,185,673,
432,561,601,160,810,181,649,569,603,537,182,054,795,323,973,345,232,151,778,
081,139,146,211,611,064,602,141,026,791,807,683,588,923,931,009,893,056,116,
171,213,580,275,801,044,601,856,809,821,554,967,913,290,368,542,063,532,074,
560,276,114,206,186,967,635,199,121,787,474,169,451,820,294,928,520,941,240,
732,819,367,641,563,631,974,150,775,321,766,918,094,047,539,832,326,631,554,
958,915,078,166,660,338,857,174,111,091,395,723,261,782,747,815,810,770,529,
283,572,994,479,594,218,653,342,990,435,111,162,952,624,567,250,638,684,737,
710,849,399,207,413,040,510,411,832,112,798,273,769,105,627,128,619,430,603,
667,608,935,022,937,890,455,137,873,123,836,450,006,707,167,755,978,954,505,
602,035,762,210,205,980,243,846,627,999,670,339,349,836,065,871,784,711,871,
533,148,295,414,821,812,237,942,497,614,015,513,615,708,139,559,983,559,025,
137,399,154,179,729,865,008,023,622,827,075,053,444,214,171,115,590,005,510,
997,587,018,774,748,517,013,829,793,406,840,825,360,066,476,095,604,483,287,
382,690,892,342,239,974,537,794,116,941,922,618,746,511,722,733,753,272,683,
341,988,791,996,343,196,008,390,191,426,746,975,227,589,871,813,394,051,784,
700,210,851,752,666,665,149,784,157,786,275,112,967,488,816,480,336,347,557,
357,300,299,707,930,348,039,469,329,891,075,220,804,937,744,423,183,416,147,
526,422,826,334,919,459,133,682,319,745,617,353,923,805,123,495,686,503,913,
618,362,886,079,421,549,336,080,178,239,032,420,009,901,766,135,710,570,811,
115,302,642,093,135,855,491,305,655,157,178,528,253,834,800,043,211,394,788,
534,338,977,219,988,466,655,767,646,907,127,342,753,522,500,319,867,474,261,
086,263,250,161,955,025,264,315,607,689,885,427,327,184,397,871,335,978,192,
470,190,780,938,865,135,467,160,968,588,096,699,394,892,558,339,422,023,973,
239,126,644,793,464,510,186,928,777,356,635,644,487,823,733,180,244,566,223,
928,528,423,069,090,517,437,055,238,356,440,123,917,463,078,976,643,507,717,
566,841,522,898,542,275,380,729,325,159,104,744,112,493,033,447,358,479,757,
519,232,045,831,306,353,785,609,208,780,093,343,689,768,110,601,135,936,642,
812,221,627,103,817,681,437,290,575,873,374,053,251,638,241,978,840,829,823,
768,499,149,980,625,016,665,619,962,113,565,679,485,523,151,899,879,905,128,
761,424,624,209,822,641,977,017,538,450,254,849,226,173,029,819,059,471,435,
449,889,130,312,152,945,517,993,440,566,956,353,377,878,859,735,509,300,742,
080,284,277,865,317,033,972,673,034,804,741,036,518,337,055,689,804,287,138,
104,492,103,161,360,744,543,028,584,795,626,449,183,327,973,315,229,389,723,
117,036,012,007,937,464,853,083,313,084,644,958,026,898,449,847,378,306,023,
675,197,186,957,195,339,017,664,818,132,118,573,269,104,448,895,863,377,537,
574,739,500,953,559,203,767,901,487,578,213,255,827,618,263,029,901,685,310,
104,930,206,112,281,499,433,213,277,283,706,967,585,390,836,740,000,690,849,
889,699,833,649,447,314,467,762,173,394,386,992,462,040,727,491,434,644,494,
585,576,544,238,376,734,033,611,119,590,176,059,228,901,311,406,302,794,799,
530,776,694,990,700,222,963,133,291,670,798,244,188,597,619,934,441,835,883,
513,905,713,114,784,317,757,242,166,620,432,200,626,061,736,787,760,495,502,
860,913,368,417,329,758,721,513,810,080,375,665,612,894,733,902,528,826,537,
944,530,886,152,860,706,285,309,917,470,017,003,236,305,361,395,844,370,891,
795,331,003,836,669,521,631,771,262,926,062,865,454,532,706,589,250,948,559,
287,109,012,497,952,647,025,337,566,705,651,283,435,699,516,795,740,581,041,
802,370,840,263,986,484,067,714,661,841,341,744,617,451,157,850,297,761,646,
059,265,858,741,826,013,857,141,060,434,320,453,565,525,075,813,715,501,892,
766,050,243,398,382,136,668,121,606,254,368,696,733,048,802,456,963,194,591,
404,322,789,001,039,732,485,775,895,144,192,189,760,076,994,796,259,110,139,
091,544,960,767,983,535,580,739,786,170,926,584,517,392,811,726,286,787,378,
884,062,364,032,517,665,848,134,584,518,498,548,915,344,173,951,018,471,402,
125,360,932,024,218,108,858,676,481,813,270,866,336,378,725,480,238,775,096,
926,159,826,915,458,289,839,414,393,945,238,884,988,829,814,644,815,118,338,
730,086,103,419,135,731,378,062,889,728,474,840,297,853,091,463,595,696,110,
634,780,454,539,965,207,574,336,995,065,119,907,928,615,480,591,288,015,378,
138,977,798,817,435,427,556,825,042,849,808,560,446,513,493,400,623,208,684,
872,613,223,393,157,957,711,476,055,161,773,259,789,219,548,764,280,136,232,
976,079,248,693,927,663,593,599,976,382,218,716,416,259,821,632,799,556,727,
130,716,850,063,962,088,592,368,243,768,282,640,880,445,728,057,395,961,747,
322,665,012,108,286,504,292,849,910,746,432,085,562,491,332,713,287,514,019,
259,895,640,080,483,776,131,910,357,380,265,250,775,355,831,995,773,034,452,
185,958,924,945,070,383,479,667,512,808,436,224,598,123,129,295,370,236,519,
867,691,871,931,887,736,611,823,740,340,339,281,272,267,162,903,725,883,558,
501,371,530,710,024,193,783,639,202,706,222,318,834,760,070,614,862,265,517,
378,240,590,891,916,861,037,060,456,802,869,645,700,952,580,234,943,851,891,
549,114,568,996,246,482,888,633,089,162,753,878,666,594,857,055,234,263,843,
990,627,050,027,699,534,172,651,394,079,919,745,789,766,757,751,131,918,254,
006,557,512,783,652,249,054,036,070,940,354,776,996,366,029,648,901,315,770,
620,390,047,952,654,338,359,961,201,453,117,993,378,484,205,082,036,174,135,
241,681,153,751,416,559,552,960,456,210,701,347,389,861,409,949,517,180,332,
714,088,697,718,353,929,580,143,517,152,732,242,286,686,313,654,015,066,061,
181,694,619,961,085,162,038,291,300,344,961,284,881,133,141,802,929,515,805,
066,576,308,197,375,387,991,983,025,545,348,035,092,024,299,373,393,074,031,
590,456,994,926,142,564,700,712,607,386,337,693,770,712,326,258,602,139,270,
772,915,238,020,030,303,703,523,912,374,133,126,702,071,731,153,862,847,147,
116,978,318,727,624,126,353,107,186,772,359,305,199,938,528,556,140,017,329,
765,520,141,663,040,150,730,300,704,655,112,065,658,204,934,506,292,831,721,
877,104,558,549,610,040,708,057,994,156,935,922,031,453,754,944,762,264,431,
237,189,734,669,582,787,173,786,493,803,562,551,420,780,446,308,739,489,925,
493,560,953,557,798,654,174,248,534,797,165,881,408,703,735,466,215,856,218,
966,622,152,583,060,053,104,671,517,535,894,521,642,406,135,772,902,581,998,
184,651,318,025,973,090,734,976,318,090,482,753,008,150,572,453,266,258,296,
852,869,836,310,808,813,399,058,130,346,045,176,491,518,597,254,997,754,475,
409,439,880,183,514,059,043,828,838,175,851,620,225,345,452,877,998,979,457,
243,066,340,939,996,413,466,309,327,954,108,063,098,191,484,710,397,066,307,
808,075,273,672,980,052,022,210,656,243,072,329,970,708,382,785,583,027,149,
885,448,341,221,759,388,358,475,393,477,911,267,141,734,716,761,239,104,193,
035,681,639,503,232,241,244,442,122,962,106,942,141,625,801,904,629,450,795,
967,864,572,630,392,135,395,537,051,371,885,464,962,874,936,165,856,413,302,
850,248,420,988,352,043,071,655,579,964,914,744,856,199,181,710,223,107,601,
672,299,859,543,262,559,185,494,512,938,082,629,044,129,871,346,285,315,545,
658,344,595,696,956,667,807,945,238,074,947,352,572,992,560,862,322,661,670,
329,509,649,480,674,754,946,078,578,830,320,448,538,868,687,161,486,416,644,
502,124,255,547,147,303,040,198,751,163,569,381,642,340,262,843,985,154,824,
348,658,134,540,565,366,461,486,194,463,206,053,857,694,074,996,650,554,492,
773,140,846,053,535,512,583,439,492,935,216,764,446,760,657,156,526,708,841,
274,580,693,380,111,549,287,336,433,583,126,885,393,512,354,198,319,675,007,
325,361,928,755,470,099,276,565,306,803,321,140,061,631,543,997,284,878,896,
979,067,431,795,104,434,815,285,901,573,328,916,550,772,657,604,975,470,580,
285,535,636,144,409,429,516,899,716,714,714,960,090,046,357,430,999,363,150,
181,272,129,757,318,063,986,039,376,026,903,709,481,752,072,815,339,721,014,
600,973,711,671,394,270,355,573,998,551,490,999,818,292,682,409,335,304,907,
908,810,837,229,488,784,370,833,165,321,440,474,230,486,662,881,499,215,939,
157,906,448,760,727,278,791,493,156,144,408,391,015,131,664,122,190,733,059,
625,272,314,629,439,948,374,832,476,825,031,788,488,743,227,935,253,699,966,
404,042,179,157,998,281,707,940,012,944,689,666,473,087,591,173,858,325,821,
495,872,629,536,581,318,420,036,753,811,703,280,716,735,904,496,348,722,412,
330,753,418,464,750,837,646,001,357,037,780,957,451,708,881,220,643,339,846,
666,842,689,908,681,908,185,388,087,607,085,159,526,638,448,550,667,288,738,
410,397,485,698,287,490,681,242,111,541,424,714,271,038,012,157,416,799,612,
072,909,749,380,630,795,331,857,757,494,840,185,753,886,261,020,262,820,373,
374,957,840,556,121,857,641,381,941,768,184,142,061,681,948,251,558,844,017,
359,487,241,984,557,050,661,486,853,329,341,207,732,847,982,088,371,368,503,
400,286,800,016,757,408,031,142,894,836,968,287,764,017,079,698,749,600,322,
166,482,328,530,805,415,836,229,329,090,671,378,779,228,699,316,922,076,059,
684,482,682,422,382,344,801,749,520,045,923,485,713,776,402,180,150,907,035,
701,676,536,762,945,440,289,019,809,359,236,922,179,730,472,720,555,477,667,
094,069,526,019,655,645,468,357,242,819,919,675,076,608,366,491,953,517,777,
701,031,559,156,209,745,074,491,920,044,928,924,155,509,094,877,853,490,104,
399,447,810,860,975,926,205,071,295,640,790,010,385,425,495,184,492,006,749,
016,082,747,215,709,889,122,481,244,525,773,127,825,733,852,651,273,918,231,
507,850,726,061,973,844,436,904,666,229,229,503,283,506,801,866,289,777,172,
414,056,311,705,235,772,594,374,805,665,040,347,064,326,732,995,318,050,491,
418,961,181,303,182,774,559,593,721,115,848,881,673,954,779,059,955,144,684,
896,387,568,518,935,122,245,827,938,773,547,904,649,715,641,248,096,714,205,
650,937,483,920,677,992,290,723,809,682,874,445,447,518,001,035,102,208,800,
968,143,410,626,641,642,979,453,559,601,229,229,107,260,399,101,053,912,636,
553,069,271,256,931,654,015,599,800,476,724,909,916,022,605,912,575,947,741,
089,282,682,174,767,942,906,849,796,883,806,658,809,200,834,668,648,148,926,
552,810,311,004,367,115,697,430,611,166,871,945,166,150,178,343,651,419,307,
117,815,843,996,684,623,793,013,353,468,504,718,243,959,063,035,118,673,017,
231,540,488,856,195,197,817,149,322,578,066,001,457,111,266,854,024,815,900,
058,236,686,706,287,716,532,266,725,891,533,855,345,796,980,806,697,191,320,
720,058,750,338,526,678,833,971,773,382,340,490,737,933,163,243,369,373,001,
766,438,149,999,362,144,662,485,185,426,709,866,890,305,568,221,471,857,740,
764,502,992,746,974,346,398,977,778,270,196,463,525,608,230,993,068,217,113,
098,321,231,711,339,557,241,443,740,875,678,126,650,202,101,861,176,628,356,
182,269,159,550,657,691,263,523,680,486,352,283,370,854,830,207,302,330,235,
985,652,024,299,732,284,939,650,028,758,834,643,826,563,994,736,561,860,499,
723,459,703,897,884,820,091,322,714,762,497,522,538,119,886,364,865,232,318,
373,380,986,264,590,458,947,221,128,865,716,714,465,769,663,393,979,735,705,
414,577,593,889,593,033,856,013,912,867,666,203,481,548,346,842,597,960,767,
314,052,681,386,856,454,601,865,754,138,128,118,815,268,625,484,454,557,119,
628,896,379,607,136,307,965,196,916,620,232,282,256,960,361,654,382,580,668,
041,307,075,953,840,264,696,117,359,860,389,644,582,732,677,214,404,703,251,
963,624,217,705,564,988,853,855,027,559,091,936,399,771,140,694,214,419,417,
316,278,041,975,221,890,582,198,461,683,319,889,839,558,992,928,702,549,435,
721,959,241,307,013,352,998,483,470,751,023,129,943,815,597,977,422,765,011,
960,565,369,576,854,395,608,379,730,411,299,376,961,747,409,321,071,010,090,
437,179,451,557,451,216,469,221,829,929,239,771,583,315,618,521,135,922,079,
859,292,839,881,521,683,692,088,111,649,589,557,100,659,276,440,722,396,325,
154,878,075,425,977,817,998,225,695,073,351,672,793,372,830,173,065,626,390,
185,313,990,797,087,338,583,101,455,946,354,869,508,816,911,545,309,238,441,
084,896,317,320,203,922,660,037,603,106,181,028,223,978,990,468,354,414,339,
468,525,297,739,933,567,278,768,370,426,044,884,736,902,176,540,984,607,330,
594,169,046,247,317,119,669,259,162,504,570,949,320,521,053,654,708,712,928,
489,887,919,571,879,135,343,958,039,670,727,294,802,891,450,631,926,475,665,
798,524,004,689,297,893,236,559,597,659,891,865,527,666,490,139,418,785,389,
686,491,628,294,232,282,479,833,441,309,952,202,162,564,821,513,216,221,488,
275,916,309,254,600,033,881,212,460,035,397,963,323,011,185,724,619,762,540,
422,023,873,087,803,020,929,155,716,763,320,853,161,136,151,460,874,887,382,
077,730,415,765,254,211,860,649,792,107,449,166,746,653,855,042,538,881,185,
432,748,601,476,760,944,758,781,310,086,493,163,958,997,272,554,027,022,988,
743,543,353,110,012,851,547,889,094,423,539,786,186,899,884,054,765,337,820,
259,792,600,206,030,817,504,048,015,978,541,681,959,008,979,259,912,686,945,
099,832,369,723,298,301,853,443,561,124,687,880,035,643,004,433,241,892,850,
433,208,899,287,068,403,191,925,844,992,846,544,854,557,545,655,600,116,720,
983,268,477,014,904,242,481,797,662,260,508,256,967,704,396,789,514,231,517,
750,000,716,559,489,106,468,585,261,094,683,099,771,829,458,581,354,519,871,
971,463,352,898,883,550,111,169,947,953,073,255,587,376,205,378,773,973,467,
661,174,097,597,160,527,564,312,367,004,489,670,975,394,598,919,956,137,433,
653,625,655,101,514,135,779,890,001,547,249,562,569,768,379,755,988,486,205,
480,847,421,578,254,438,093,198,172,155,191,864,603,244,307,694,285,170,246,
572,080,994,482,400,146,426,048,094,331,644,516,255,371,482,570,399,254,440,
002,172,532,965,770,841,409,260,270,156,524,661,197,604,326,729,842,180,763,
367,817,010,069,575,715,463,219,287,258,699,573,836,263,297,547,783,867,989,
036,206,359,740,730,882,095,639,842,506,102,666,723,557,962,698,644,060,312,
645,519,032,209,204,633,676,822,238,918,949,178,632,657,925,553,115,888,466,
447,948,561,371,444,422,141,072,096,096,612,923,274,293,226,748,208,907,432,
490,661,788,393,128,331,507,975,413,895,864,814,401,457,222,074,692,655,893,
481,632,989,631,839,046,761,550,128,713,554,205,317,659,493,789,500,706,558,
937,793,759,817,486,037,939,145,214,482,523,381,485,634,427,864,289,239,076,
566,324,581,686,492,637,062,921,796,957,850,080,089,308,383,633,207,247,595,
244,922,243,473,643,932,921,083,421,501,166,534,975,290,165,658,954,115,668,
324,423,394,024,958,561,178,476,556,858,723,361,954,843,374,614,790,560,518,
146,966,601,046,314,212,070,998,887,301,406,281,293,028,461,325,927,178,329,
841,628,603,277,792,386,147,656,211,434,165,476,250,131,967,270,567,548,491,
398,234,122,232,835,851,995,684,972,006,162,971,909,411,970,699,309,203,371,
704,379,207,171,769,391,742,246,616,248,450,972,121,898,540,245,892,906,651,
629,317,171,007,013,374,457,467,302,086,979,309,117,514,559,191,902,429,924,
336,946,747,791,279,127,149,734,043,565,456,632,716,694,692,951,728,932,885,
142,483,269,015,649,975,583,455,825,719,713,443,743,216,883,258,273,090,233,
863,481,993,908,133,463,425,385,336,608,890,190,452,713,977,466,808,441,791,
678,805,435,464,057,064,797,945,980,664,510,150,350,496,741,379,553,113,803,
069,928,987,933,983,633,466,776,229,198,482,978,241,268,623,191,569,417,087,
589,415,565,761,678,484,328,603,867,728,022,859,984,579,461,687,491,791,443,
519,989,816,936,528,310,132,794,228,969,635,270,419,449,333,255,992,915,099,
057,878,917,169,536,243,200,360,713,195,467,697,536,363,445,501,047,797,679,
191,032,716,427,720,146,548,129,809,286,413,469,518,148,354,780,797,009,339,
795,260,831,747,985,191,919,886,560,188,811,279,206,690,413,627,948,471,835,
856,685,717,149,854,510,834,736,352,050,204,135,492,368,775,651,425,637,526,
459,270,014,670,018,984,729,290,157,814,994,808,428,552,560,517,976,882,921,
110,846,674,137,136,276,052,718,515,058,150,715,779,999,790,132,942,049,061,
210,010,104,449,658,423,230,046,204,103,350,514,306,968,254,752,757,420,236,
634,951,482,005,406,247,082,521,175,732,840,554,839,318,641,056,816,107,985,
160,387,352,194,863,145,879,270,182,437,877,713,484,321,128,246,087,287,924,
916,380,910,667,316,250,350,364,741,884,827,353,534,544,487,148,711,346,460,
912,518,205,309,564,804,943,404,868,581,288,501,820,449,684,851,209,790,797,
533,870,296,562,381,004,374,191,916,826,898,623,375,118,205,062,721,421,743,
015,852,581,080,191,646,327,314,795,964,713,666,268,789,037,832,379,150,921,
569,107,448,938,399,318,704,299,585,658,679,462,162,845,489,783,341,694,892,
653,404,166,196,901,246,087,318,164,114,401,271,655,830,966,556,067,062,167,
653,803,232,585,808,009,244,933,376,833,311,553,401,893,302,372,113,278,663,
738,873,287,168,965,258,945,616,106,421,933,491,138,040,224,233,094,784,930,
716,588,602,690,175,874,763,993,296,092,789,825,945,867,597,126,254,877,829,
360,162,669,986,429,834,000,452,503,106,346,493,143,754,435,224,649,660,968,
726,960,018,987,767,897,187,446,049,230,979,035,567,476,942,809,222,763,011,
058,875,213,037,131,996,134,395,005,316,304,409,402,821,433,367,018,784,006,
909,744,090,181,938,821,986,028,284,210,944,822,098,160,723,293,805,540,111,
058,745,271,144,556,642,817,433,426,738,224,354,067,196,766,650,709,486,061,
762,378,458,622,191,862,432,100,683,903,231,841,716,895,430,516,051,266,538,
710,522,578,433,029,604,244,044,179,825,889,167,724,761,830,970,642,942,582,
352,511,965,980,253,783,772,100,996,138,894,288,016,914,433,522,425,448,934,
109,502,486,458,525,912,229,721,170,203,388,124,918,740,744,685,224,178,913,
215,828,028,712,002,613,380,618,723,161,323,481,764,210,595,160,471,859,899,
294,294,537,016,611,264,901,041,718,377,452,980,676,151,549,420,139,209,132,
496,372,995,972,530,597,667,200,534,446,883,883,540,202,315,234,554,170,539,
573,232,668,600,876,275,527,902,332,250,404,464,898,420,085,257,692,720,631,
512,126,707,162,149,625,909,197,511,288,198,871,534,247,851,584,254,324,236,
620,894,860,463,512,178,924,414,506,988,186,623,068,505,626,175,472,818,893,
131,416,045,804,637,145,071,300,737,957,059,017,547,056,335,063,253,174,531,
505,637,883,127,136,754,692,830,487,858,747,218,165,888,113,883,814,621,589,
464,269,725,894,527,039,428,203,483,069,732,441,980,221,095,241,859,059,763,
842,532,652,412,087,297,821,352,504,530,074,227,186,527,949,005,117,180,461,
540,379,484,292,061,388,494,427,081,132,213,360,850,134,355,142,541,265,942,
281,974,433,293,738,451,189,839,800,246,411,726,253,996,592,971,335,982,197,
931,177,520,592,939,643,487,283,534,261,223,844,377,970,254,198,472,928,448,
089,221,563,044,682,462,751,009,136,888,096,718,853,714,892,329,355,070,370,
063,997,063,182,977,564,058,590,328,796,115,149,718,440,227,922,874,253,477,
759,804,793,745,860,957,475,791,913,360,220,007,335,486,944,205,514,123,189,
285,510,730,897,924,993,014,123,864,166,361,156,455,329,761,173,128,245,705,
440,465,215,593,523,731,261,200,192,804,272,590,983,565,782,489,804,401,033,
771,078,358,408,620,290,290,983,577,556,666,021,003,118,584,287,207,823,890,
679,846,029,917,325,694,320,737,437,338,444,511,795,155,577,953,584,694,019,
251,371,756,784,006,799,993,108,239,995,246,205,004,929,835,598,015,515,252,
657,340,015,344,243,487,544,512,095,674,369,647,109,520,037,550,148,239,738,
289,292,219,566,963,977,072,057,185,128,357,493,521,987,571,214,831,543,939,
472,385,937,936,157,430,487,867,960,158,234,854,846,729,518,056,838,694,486,
216,038,630,388,150,189,231,470,161,127,707,374,401,088,079,783,393,255,072,
204,743,891,663,062,548,687,587,143,304,332,288,462,156,258,211,658,275,478,
720,196,609,444,367,255,007,470,514,576,237,046,995,020,443,180,121,627,514,
491,704,045,374,072,029,199,299,910,100,031,264,982,299,174,495,597,556,572,
814,553,638,403,937,404,884,358,699,146,308,110,375,355,457,080,293,076,379,
705,639,268,293,687,899,990,221,287,629,441,704,505,394,626,446,622,801,592,
565,222,744,419,684,483,612,264,600,494,898,488,384,351,042,236,265,577,359,
281,134,490,509,208,516,709,773,197,622,551,704,280,604,839,831,272,145,639,
331,821,394,678,979,807,283,966,735,475,210,879,238,141,523,697,127,323,022,
912,994,710,898,907,147,577,258,833,513,810,741,492,099,724,560,780,168,761,
367,723,296,107,203,527,402,050,369,479,465,542,116,149,189,910,564,806,089,
169,914,348,626,447,560,182,225,667,744,576,406,549,262,410,088,146,347,887,
750,458,413,683,283,626,148,885,894,443,623,389,508,734,789,862,237,439,015,
869,409,973,982,593,199,893,447,808,573,575,142,058,048,444,351,838,385,107,
860,690,588,395,429,150,654,236,572,024,501,631,107,257,830,428,370,567,225,
125,238,103,104,253,072,835,768,054,580,750,962,936,774,883,682,854,996,640,
689,858,880,956,973,843,981,918,467,008,700,601,085,852,097,224,991,151,031,
849,105,904,932,364,044,611,205,722,424,284,270,579,437,096,409,160,569,754,
886,155,424,824,916,177,646,275,412,579,297,425,164,124,484,167,846,999,340,
191,306,631,722,868,740,587,267,736,429,846,225,698,720,328,149,409,020,091,
510,176,349,236,372,538,820,395,414,539,460,621,600,338,517,919,248,962,739,
505,095,075,259,259,800,406,108,434,912,795,964,309,140,983,461,541,721,527,
631,521,758,299,486,300,409,902,998,893,604,966,350,410,521,519,015,325,759,
570,714,267,837,177,559,939,903,679,429,252,391,242,958,855,198,339,145,039,
606,639,638,195,259,107,165,915,462,019,451,818,890,697,636,667,640,932,021,
280,942,425,768,921,950,382,697,359,740,690,582,793,211,781,008,466,258,547,
755,740,424,842,201,956,613,336,310,121,237,729,011,047,758,388,344,679,841,
207,448,489,486,237,069,694,055,940,439,135,090,220,148,986,583,902,245,111,
860,170,301,835,323,033,111,478,069,024,790,312,509,038,303,135,974,185,926,
894,183,913,387,197,102,098,933,929,505,365,906,699,171,652,503,336,935,873,
373,079,724,231,593,402,912,511,473,536,870,798,581,995,700,165,654,358,500,
590,160,358,564,540,206,594,383,312,735,572,833,616,566,804,907,729,551,309,
656,665,688,871,739,415,291,405,951,754,808,555,614,002,191,027,788,094,160,
077,673,285,411,606,297,574,505,449,686,357,095,199,026,809,664,495,126,896,
600,883,591,481,308,155,658,165,153,935,859,717,424,884,200,524,226,015,109,
394,788,480,532,283,252,153,199,323,358,535,122,171,446,498,319,263,706,849,
358,019,277,073,564,220,685,152,787,510,151,910,528,700,639,422,244,859,386,
151,369,467,530,548,200,817,407,416,515,723,711,680,145,880,916,068,729,623,
697,391,636,908,566,221,310,648,954,055,909,190,210,957,283,679,537,497,793,
503,985,581,992,834,948,221,240,461,487,011,038,053,141,264,499,718,734,211,
242,285,884,601,826,142,862,960,601,297,856,242,086,574,837,739,804,970,116,
766,764,467,908,933,503,199,123,755,648,955,989,978,571,428,462,614,596,278,
136,590,041,274,474,546,236,046,974,889,297,542,532,645,206,030,263,225,671,
840,595,714,261,440,959,767,433,638,964,870,024,325,777,469,735,593,642,121,
187,451,544,531,453,447,524,364,457,849,600,467,288,172,664,116,875,590,624,
546,238,713,768,779,385,563,096,799,078,079,293,140,020,682,459,206,088,048,
319,654,709,561,560,703,267,786,472,912,853,779,139,722,555,717,039,179,236,
976,597,242,518,292,907,154,187,615,455,466,898,663,684,778,145,431,589,804,
615,395,501,412,331,951,143,070,934,555,462,881,875,888,494,999,298,956,808,
227,713,915,128,042,178,331,411,031,973,662,294,369,764,671,815,208,504,916,
453,304,588,246,271,009,991,078,638,514,396,387,809,185,826,320,367,070,847,
202,644,710,888,931,342,555,200,437,020,422,563,325,255,544,583,316,101,452,
339,392,053,245,266,971,096,248,156,801,654,861,565,797,573,415,779,978,829,
145,485,053,379,865,878,205,203,595,923,318,432,627,513,131,795,661,920,975,
354,805,290,088,055,448,382,015,959,714,246,321,562,147,296,049,536,474,727,
711,334,909,650,430,237,985,084,072,197,494,164,604,373,286,954,577,069,742,
817,088,704,212,926,247,228,134,369,983,875,573,612,170,454,356,510,273,494,
800,847,882,596,919,606,281,629,023,317,564,280,047,550,038,504,589,227,876,
346,377,945,265,351,781,128,581,685,131,382,067,673,383,008,537,230,650,729,
149,530,027,001,315,630,612,211,088,854,390,978,384,640,209,794,682,069,700,
330,724,722,806,156,174,287,462,633,301,278,768,072,025,352,783,581,150,569,
894,869,918,662,544,887,391,144,508,379,902,996,956,986,610,176,115,249,111,
692,051,383,025,809,779,864,333,458,138,152,777,262,501,147,914,127,077,320,
105,485,497,854,120,205,679,556,723,050,271,027,092,823,758,350,959,833,137,
285,269,314,531,669,044,161,851,660,143,146,991,300,179,205,836,321,977,109,
219,807,244,870,757,256,711,440,767,210,872,021,545,646,931,615,336,958,306,
090,964,796,968,850,368,479,508,874,507,459,118,339,137,361,583,241,194,823,
138,773,062,873,262,301,157,553,262,778,096,601,093,157,436,491,067,878,334,
143,782,523,957,468,989,489,495,458,794,881,287,998,698,901,962,820,512,888,
021,302,349,435,281,115,214,488,757,204,242,464,001,604,421,462,025,636,753,
777,830,395,841,842,176,108,643,559,107,248,796,221,357,279,829,053,992,641,
255,973,009,946,063,078,356,044,518,680,485,339,125,287,243,081,235,714,340,
188,506,944,278,100,168,402,544,716,890,846,716,409,471,648,466,961,850,802,
584,748,438,449,824,194,666,286,789,523,088,627,551,103,541,304,085,092,095,
614,661,753,855,741,573,410,759,964,773,986,268,433,962,125,563,921,519,023,
655,856,751,917,218,890,870,426,948,958,253,365,110,104,494,066,102,993,880,
435,765,482,311,529,169,052,219,037,265,360,194,429,164,025,750,800,626,467,
095,009,523,384,424,101,496,154,000,554,680,537,292,297,570,674,758,069,585,
838,426,646,029,414,572,052,394,545,948,834,462,195,844,148,049,910,294,709,
413,026,019,022,434,450,967,688,063,756,036,215,585,178,096,164,508,399,275,
449,216,740,040,882,974,327,829,665,568,998,153,928,070,721,508,178,830,326,
593,052,652,081,998,965,443,791,184,471,361,254,450,856,179,241,400,954,027,
907,331,561,854,243,241,524,411,698,023,294,258,779,740,378,012,848,207,661,
685,019,583,165,085,204,721,820,871,629,518,302,847,855,831,194,435,546,044,
861,323,990,211,186,999,480,223,339,480,186,042,921,980,602,282,202,338,340,
475,797,815,082,030,233,822,808,390,275,650,729,523,360,390,301,534,623,834,
800,295,796,361,637,088,463,015,540,135,672,066,032,054,833,362,973,117,845,
403,283,427,639,180,727,506,517,602,202,258,172,008,118,399,718,559,992,086,
291,494,517,675,755,042,401,352,377,571,827,907,455,368,109,431,801,814,670,
782,295,956,752,963,694,066,469,006,686,953,150,906,793,134,146,239,826,236,
000,375,649,812,880,500,308,124,009,567,331,432,142,323,053,461,690,483,057,
717,470,803,679,295,954,777,573,066,633,596,784,966,136,509,934,486,445,027,
402,486,386,497,752,267,937,569,442,988,680,420,967,380,431,927,066,991,749,
032,463,464,719,639,467,766,982,066,066,764,441,190,601,755,499,572,443,915,
466,690,908,717,138,772,417,718,731,274,484,604,143,226,767,114,496,427,563,
730,583,300,716,836,845,279,021,820,912,200,949,911,759,007,345,318,794,173,
646,628,689,193,451,339,788,795,209,006,221,752,310,294,173,783,203,288,499,
868,307,836,036,956,995,982,987,597,998,090,181,074,945,744,863,095,406,964,
145,852,948,518,828,547,326,236,213,008,904,256,051,149,799,578,829,278,672,
022,991,518,252,836,787,555,272,897,985,270,961,421,161,839,596,965,163,480,
212,224,741,342,850,601,515,339,059,997,608,127,366,206,542,960,360,160,384,
559,798,047,551,751,717,819,414,145,046,283,153,773,690,801,826,998,166,059,
805,595,881,449,139,557,611,676,733,563,151,325,295,680,109,114,905,095,687,
789,555,136,001,041,957,470,460,109,101,575,000,508,807,253,034,744,502,290,
069,135,044,068,021,573,542,600,729,904,760,404,735,365,962,620,448,086,144,
170,981,242,462,468,381,477,772,222,732,178,015,828,743,523,730,602,737,810,
038,287,693,114,854,657,481,439,205,216,016,490,339,284,199,051,674,734,412,
785,916,768,673,584,912,101,201,376,145,288,869,460,387,458,168,155,674,184,
399,705,358,608,544,743,059,781,276,038,139,538,132,914,799,499,928,700,042,
353,971,240,874,570,846,164,212,383,544,440,911,439,031,406,979,901,543,244,
997,372,456,205,368,424,385,177,976,852,162,155,803,322,186,611,985,797,448,
682,203,568,086,927,551,365,831,993,174,331,073,774,920,669,632,391,908,768,
214,070,311,580,889,319,197,542,151,873,452,115,481,453,577,663,925,413,606,
522,464,176,550,298,909,207,481,962,075,738,361,850,031,421,768,418,703,362,
375,757,996,702,153,009,840,636,421,516,485,502,882,936,227,308,743,127,395,
375,920,758,841,820,909,555,021,928,328,894,032,390,556,893,906,094,688,744,
468,960,049,073,333,641,082,701,360,827,252,325,373,247,899,451,503,329,877,
368,107,805,415,785,965,045,269,270,050,917,929,515,068,814,982,937,218,911,
134,007,524,318,542,860,308,781,290,214,322,992,225,071,077,832,426,792,470,
427,405,164,867,220,075,637,180,338,510,040,541,587,762,188,271,698,280,658,
052,823,869,060,913,123,187,744,534,512,623,106,900,699,536,304,496,385,755,
221,487,792,910,048,398,644,864,712,775,963,096,166,588,714,967,895,801,455,
266,330,478,987,169,093,063,027,070,682,517,792,559,252,194,204,391,146,814,
400,639,818,628,250,901,766,918,870,597,565,916,537,428,411,321,147,597,599,
953,723,684,418,013,189,854,193,246,677,911,135,899,610,119,656,452,530,732,
407,447,930,287,320,258,604,471,879,299,302,070,465,221,904,330,833,002,495,
737,301,852,834,039,494,946,500,305,276,632,457,532,196,499,691,657,973,254,
364,327,984,991,057,916,753,235,552,493,949,426,093,291,994,652,797,139,404,
185,583,241,120,631,400,726,353,757,714,235,264,442,315,490,258,583,436,320,
496,309,114,428,114,083,190,904,484,801,849,966,574,730,139,884,589,191,913,
639,430,438,844,576,918,170,610,283,276,533,618,192,965,889,656,715,051,195,
389,201,626,663,375,322,523,524,717,520,831,375,373,055,975,334,436,610,755,
737,560,409,326,768,344,680,647,687,273,620,938,532,232,465,572,804,149,394,
819,064,087,802,464,794,159,955,683,512,708,568,666,193,216,453,713,188,536,
937,875,924,376,660,140,676,106,953,709,325,172,886,023,677,856,029,314,448,
407,390,453,820,701,370,777,766,988,988,386,899,312,432,951,140,307,734,803,
825,702,175,437,143,829,398,432,391,905,136,652,692,545,854,316,588,833,180,
714,832,221,081,748,695,746,286,207,906,424,582,998,019,206,354,076,831,832,
308,056,960,015,467,662,918,135,261,900,525,532,005,664,023,347,081,084,130,
462,683,268,077,199,289,292,015,663,428,921,140,241,542,631,432,671,377,929,
172,383,466,655,930,381,074,396,212,646,846,787,330,636,540,178,123,757,416,
097,884,383,902,593,847,083,629,138,475,439,352,149,871,093,120,918,983,585,
113,066,752,520,679,758,398,976,079,560,666,763,158,497,132,190,596,781,109,
746,693,753,474,123,530,561,633,535,029,494,766,704,820,208,770,259,467,991,
009,700,436,431,232,952,786,209,125,370,446,766,969,928,619,097,476,291,265,
720,544,257,628,092,783,118,364,976,176,563,122,677,647,467,786,374,032,540,
761,714,545,164,256,309,850,166,158,560,354,401,776,758,052,036,573,952,367,
949,362,589,425,651,620,589,900,673,832,427,312,244,665,665,078,298,947,486,
096,522,821,061,060,225,797,411,969,519,090,490,234,438,451,280,590,909,638,
033,585,727,903,246,272,815,336,790,560,084,983,822,870,673,811,893,663,823,
179,967,012,692,326,501,122,834,820,498,439,262,173,891,426,053,599,068,501,
524,441,608,631,164,639,003,589,483,126,396,043,535,452,463,921,178,967,723,
759,969,755,763,354,788,025,303,200,894,619,755,629,018,821,866,571,564,915,
437,443,398,777,453,450,140,111,962,762,212,487,646,084,142,112,641,679,284,
340,379,109,837,001,593,306,166,025,926,861,125,111,901,261,258,429,099,849,
460,043,020,012,038,816,496,976,534,721,500,449,769,786,945,438,746,295,446,
906,149,003,066,971,524,021,223,022,363,492,290,274,082,426,233,318,003,825,
504,602,876,416,328,015,218,317,079,350,796,461,165,343,201,943,579,071,797,
236,452,238,191,660,548,370,503,835,789,638,156,351,242,571,894,302,634,117,
114,840,370,514,655,712,737,952,060,292,779,814,528,600,491,548,908,611,892,
290,346,347,745,442,617,260,650,842,321,350,454,613,827,281,988,515,040,565,
280,200,506,967,652,318,958,656,576,847,349,805,459,743,528,901,118,563,178,
259,341,912,940,943,940,929,526,673,020,212,616,427,322,321,106,536,068,708,
405,274,045,409,950,649,138,042,050,140,902,137,065,900,330,592,610,920,375,
998,120,783,507,480,678,384,778,696,374,733,598,388,884,515,141,224,140,579,
713,125,755,254,677,223,951,084,601,512,133,812,540,638,645,876,993,585,922,
804,632,969,231,424,429,947,174,686,975,722,340,430,630,729,895,636,791,492,
863,521,672,615,569,237,506,554,506,581,099,183,875,328,021,725,512,087,028,
609,992,597,214,603,305,415,129,646,606,806,815,051,183,913,293,031,101,774,
477,682,889,053,732,136,825,433,980,411,854,619,312,127,956,486,987,479,879,
572,527,399,762,582,101,352,806,941,565,832,610,811,041,461,746,177,671,992,
086,941,761,994,503,778,361,159,937,354,392,350,265,114,353,995,042,887,826,
908,487,009,865,954,626,420,783,214,244,083,008,010,575,326,741,726,571,827,
005,802,081,845,074,709,652,861,265,234,721,699,566,503,144,674,206,207,246,
395,224,509,152,414,418,025,695,709,708,458,536,259,972,196,425,198,479,021,
533,604,283,588,103,775,137,952,533,166,279,617,248,229,928,006,893,416,764,
628,019,369,226,467,819,588,102,628,176,130,806,483,228,081,909,975,790,286,
471,110,707,486,567,037,917,750,879,811,936,557,397,435,311,785,849,978,840,
022,435,184,346,934,859,594,448,420,102,434,891,871,254,790,720,135,747,589,
857,240,948,283,562,035,375,994,718,015,073,086,435,013,595,330,358,447,481,
591,199,711,768,443,494,157,860,715,547,350,601,997,874,930,873,963,870,050,
605,806,874,251,000,049,583,071,196,483,445,162,719,870,903,095,358,010,654,
586,298,631,892,968,602,340,186,033,350,515,758,306,653,968,996,980,768,788,
611,660,038,800,796,762,288,851,051,463,986,137,747,677,826,745,830,687,094,
613,007,307,603,971,123,327,003,135,670,542,227,496,288,467,549,391,879,980,
002,582,666,851,402,748,590,599,334,970,418,184,948,577,198,667,187,391,664,
868,587,804,058,674,873,198,800,279,715,124,338,201,147,665,821,444,621,191,
283,503,853,497,983,469,829,679,798,010,716,810,265,558,421,289,335,684,364,
733,133,310,398,564,978,493,457,578,599,697,893,095,348,471,848,750,764,607,
390,949,084,255,493,577,178,623,277,728,844,135,225,925,268,232,739,888,908,
013,678,737,149,648,556,912,150,293,083,133,779,361,979,449,835,948,964,352,
558,779,915,829,497,151,761,212,206,171,762,777,943,488,166,088,904,868,653,
314,728,538,020,706,780,268,884,881,010,831,517,853,944,722,053,042,123,377,
531,943,583,682,780,243,467,782,182,095,719,567,852,044,415,142,255,411,804,
377,011,038,918,717,339,722,325,997,195,247,812,900,009,805,974,958,254,091,
353,846,834,624,496,137,573,060,526,963,705,141,843,617,590,640,564,579,566,
943,973,279,653,115,389,024,410,017,217,358,360,029,702,410,538,876,385,224,
174,063,894,045,612,888,998,554,672,688,897,598,503,889,647,394,867,892,653,
062,300,120,848,206,751,666,040,979,150,631,348,693,022,480,800,019,084,629,
320,720,791,503,321,496,934,374,751,847,297,366,551,937,208,218,261,866,916,
268,138,587,943,217,647,320,464,776,931,528,425,404,743,557,801,876,932,692,
655,089,917,091,851,686,286,279,823,755,888,605,588,390,835,416,941,300,725,
999,934,885,922,109,261,235,259,549,019,878,095,209,142,048,766,468,044,324,
083,631,304,977,042,827,313,351,291,336,392,059,190,701,378,006,769,665,151,
998,966,273,627,680,344,150,844,939,638,546,716,184,062,256,021,739,211,466,
994,652,343,512,367,025,459,069,674,428,399,378,500,755,180,186,516,404,406,
886,819,783,645,815,868,441,242,419,427,445,389,604,736,573,609,996,778,624,
761,850,284,322,397,085,167,502,987,748,872,895,740,860,020,013,739,126,387,
658,442,644,037,224,841,012,653,661,340,769,701,942,770,405,018,993,514,080,
111,634,251,219,002,145,438,044,961,018,297,192,378,804,276,920,228,683,922,
947,791,261,358,102,973,827,794,788,106,905,463,921,752,026,563,846,412,053,
129,898,498,098,067,453,837,019,441,094,800,680,881,644,350,572,416,687,807,
235,301,860,537,387,259,529,754,731,740,110,699,121,216,009,959,682,495,749,
371,150,042,121,032,840,472,276,670,046,834,080,137,939,661,138,641,354,234,
773,096,867,961,744,702,156,548,355,329,886,442,649,557,499,246,672,872,087,
192,235,973,072,680,524,625,208,896,874,249,801,842,951,030,231,885,367,293,
052,042,818,340,081,881,353,270,797,820,493,745,381,822,710,741,745,073,993,
503,843,359,398,086,528,147,144,865,291,123,420,291,674,727,262,032,845,523,
804,879,497,722,041,815,389,533,094,579,358,966,464,473,779,815,714,465,618,
637,888,991,187,245,341,288,486,143,716,916,836,782,387,131,009,940,123,374,
166,438,926,660,983,822,902,368,523,847,154,547,127,143,706,014,177,223,405,
259,711,886,856,658,147,693,851,590,842,282,841,963,539,387,005,120,913,933,
343,505,634,946,628,025,500,617,626,151,038,179,908,565,962,141,904,071,424,
246,079,330,399,506,083,353,487,294,455,762,407,021,505,841,209,485,607,137,
957,841,886,582,754,815,258,310,234,535,669,867,739,578,437,127,253,200,921,
434,570,793,907,189,384,533,731,368,640,359,485,056,879,547,155,004,178,656,
649,155,865,990,214,178,163,944,353,700,678,144,420,724,032,410,588,432,150,
995,696,981,209,787,963,501,139,905,896,999,130,790,114,490,494,602,850,529,
593,644,901,676,888,782,543,281,178,616,639,085,202,747,196,100,425,598,833,
451,106,375,414,596,390,984,141,850,516,267,438,092,535,493,285,240,519,786,
725,026,113,121,126,659,089,423,847,897,744,200,276,658,143,430,273,159,668,
890,716,365,457,937,428,675,820,354,794,333,604,513,475,289,896,099,456,609,
810,311,808,336,794,233,952,991,704,299,206,459,158,371,464,093,247,564,582,
713,328,000,310,214,191,618,235,872,534,876,829,433,983,075,680,517,032,483,
902,994,130,129,290,897,846,381,795,229,900,130,216,262,436,460,789,492,965,
779,476,885,950,929,106,696,566,407,396,477,071,232,039,644,987,239,735,852,
950,185,027,113,342,978,258,054,668,518,634,491,114,229,272,612,214,108,556,
712,478,240,132,471,152,134,481,579,292,384,834,887,621,695,359,806,100,978,
814,160,162,117,767,100,359,387,511,390,847,632,226,884,808,146,937,186,079,
940,678,831,517,948,997,071,924,810,253,721,709,398,157,612,442,930,586,587,
240,467,710,689,468,526,803,961,060,094,161,919,802,054,902,889,117,022,085,
434,890,350,090,670,923,896,585,770,896,765,478,497,700,397,056,864,136,990,
462,755,963,955,191,649,021,314,942,229,219,986,746,177,708,948,355,583,928,
766,016,101,254,897,795,519,571,539,482,655,117,416,908,329,282,753,989,852,
783,032,036,083,196,568,262,209,262,068,457,223,348,195,959,179,673,931,611,
240,226,234,063,502,672,456,739,284,460,716,981,465,096,239,483,703,387,442,
104,172,366,271,553,100,645,361,896,672,906,277,026,884,625,711,812,530,245,
496,199,725,409,045,822,272,333,241,068,325,688,377,214,993,751,425,247,047,
987,175,258,515,535,875,832,168,502,057,843,053,249,354,890,446,071,404,731,
384,668,056,916,227,750,820,567,666,446,006,149,952,937,937,406,591,427,151,
655,874,602,046,592,388,000,649,128,706,004,449,089,625,592,147,560,260,166,
921,910,961,520,683,707,347,494,057,786,387,646,371,114,292,046,104,348,712,
271,392,269,215,542,458,304,383,025,271,782,749,169,423,762,728,881,331,375,
926,044,027,542,414,785,935,728,174,773,547,395,905,180,103,512,813,014,817,
091,967,282,133,327,984,548,175,624,083,252,423,431,133,381,618,430,570,845,
812,611,017,974,336,544,641,841,867,221,090,654,095,726,725,233,928,527,444,
486,358,374,179,604,097,598,073,120,269,047,308,220,595,611,419,693,902,168,
758,311,692,929,533,853,562,591,117,010,048,306,179,028,072,002,316,319,958,
938,567,896,778,559,090,189,294,650,544,377,628,437,125,615,778,992,557,568,
607,702,038,679,855,244,185,338,463,961,859,004,506,591,177,825,262,738,994,
101,189,113,849,668,442,629,860,524,384,303,120,903,687,889,513,694,339,214,
848,192,081,550,428,197,253,958,400,204,807,696,463,009,752,517,678,015,913,
155,513,534,742,352,647,884,526,181,305,619,243,369,404,339,549,677,118,553,
526,392,429,396,169,968,753,521,571,014,367,099,478,510,640,292,001,187,295,
421,131,967,028,920,066,688,216,766,920,165,513,032,541,161,127,889,089,123,
494,200,719,091,117,806,680,585,891,556,699,173,532,852,146,536,127,262,165,
642,995,988,383,151,910,282,657,774,434,920,654,274,058,159,313,025,242,834,
441,451,215,428,822,901,854,254,207,578,167,426,369,354,305,929,792,558,281,
125,000,119,730,014,097,119,513,745,814,296,926,646,368,255,241,944,734,707,
753,559,375,980,885,293,401,353,961,341,096,488,508,610,231,128,853,834,905,
164,497,671,982,233,149,128,104,589,238,844,672,386,391,733,931,388,879,380,
819,181,841,665,324,836,883,496,022,379,676,429,389,196,178,763,218,608,532,
356,113,146,254,164,966,937,735,133,826,079,625,551,410,280,828,375,235,220,
488,971,679,909,554,186,693,374,529,791,669,351,637,934,398,731,783,272,074,
345,942,160,595,457,951,235,822,742,234,863,109,750,568,482,442,350,527,770,
330,110,251,260,690,724,946,214,855,208,567,158,014,375,061,649,697,569,993,
223,754,470,048,992,802,905,438,317,743,075,578,088,823,999,561,225,034,827,
033,506,133,881,791,096,582,033,958,541,710,647,951,816,365,516,695,871,554,
619,018,507,633,895,188,445,922,508,621,918,588,810,228,028,592,062,051,565,
686,733,585,262,598,794,453,794,669,678,999,363,245,494,360,829,737,074,867,
781,277,098,412,674,198,940,054,237,929,951,557,129,433,697,607,802,778,355,
974,209,699,098,673,256,715,646,976,108,734,390,979,468,594,209,236,661,333,
962,251,940,554,256,766,202,637,265,738,435,500,811,761,232,194,220,402,845,
296,421,577,695,001,719,780,326,230,443,386,432,594,033,457,509,604,278,294,
111,422,740,028,306,646,996,983,615,447,554,758,587,074,973,609,223,221,181,
592,441,124,138,120,218,987,214,248,147,838,786,216,672,847,791,088,595,004,
107,073,623,738,009,447,220,761,231,854,533,382,131,350,673,767,743,831,752,
469,260,846,205,355,205,886,488,227,773,749,466,937,368,125,471,544,887,343,
292,747,912,531,705,830,637,564,196,233,826,284,280,207,671,279,887,888,662,
509,277,920,771,799,954,289,463,279,504,786,210,607,651,221,807,812,188,870,
042,594,825,909,186,759,051,141,755,066,824,529,968,744,406,728,630,740,949,
451,009,779,484,917,460,335,606,392,245,371,642,250,125,822,388,078,494,173,
632,620,558,821,420,173,132,747,533,495,360,205,894,705,250,722,012,431,375,
699,533,869,749,574,403,526,763,912,132,702,115,259,456,195,901,965,932,090,
491,357,156,952,542,871,245,703,005,716,611,425,224,816,148,940,256,098,823,
472,659,077,424,459,936,814,793,636,990,684,222,278,117,004,537,839,289,319,
003,317,202,580,967,913,066,299,974,581,651,736,413,025,650,139,034,524,716,
504,157,228,543,218,110,545,014,304,819,112,999,226,110,589,328,452,165,127,
384,826,642,967,056,440,063,915,325,935,092,133,013,250,366,088,215,305,696,
207,625,352,568,494,610,534,625,908,343,756,016,630,267,508,455,437,363,376,
886,062,884,930,421,928,483,344,461,098,934,719,262,949,659,895,948,582,127,
429,089,313,929,873,266,919,570,212,540,422,541,757,487,325,482,206,631,272,
739,084,994,720,968,441,304,243,667,604,758,190,324,517,000,389,781,079,230,
856,567,017,321,945,387,585,783,583,304,333,692,881,019,270,851,058,713,317,
831,594,921,827,882,335,311,375,610,035,172,306,021,710,705,434,007,951,098,
363,128,967,932,099,832,740,294,965,920,528,633,005,744,964,825,521,099,860,
007,969,216,756,866,139,268,664,331,721,882,291,144,276,902,715,186,760,277,
015,901,291,231,406,218,304,673,387,611,840,653,206,940,903,271,711,040,635,
778,219,846,596,520,060,806,912,896,853,738,591,456,163,113,905,178,778,286,
566,729,383,596,224,484,912,386,033,346,111,416,184,047,367,398,660,401,452,
630,998,914,596,314,455,594,511,215,219,729,625,271,127,562,638,913,251,973,
893,093,390,240,966,774,593,965,954,257,624,895,234,745,590,098,708,678,402,
317,724,218,357,729,337,061,881,491,048,899,518,081,806,225,178,045,630,571,
758,631,940,347,259,316,119,435,653,157,313,903,075,076,062,874,161,017,412,
779,269,734,334,953,625,548,074,294,049,615,586,099,224,778,855,045,211,351,
867,098,639,014,646,510,809,586,239,519,578,431,488,030,293,635,073,664,806,
719,864,106,083,693,842,340,744,923,929,954,928,802,856,759,285,477,315,029,
634,226,033,857,951,338,406,225,977,007,990,243,672,789,363,264,744,913,648,
897,642,128,341,780,062,316,578,257,074,135,371,864,345,747,416,134,647,078,
991,057,426,586,098,857,209,934,410,681,339,341,885,944,865,630,025,202,997,
043,480,016,738,062,870,843,408,823,261,202,354,850,113,466,473,427,193,072,
884,239,948,136,990,934,738,348,709,682,345,480,167,788,090,639,992,260,641,
521,484,813,077,797,096,391,055,125,396,014,323,626,010,123,496,548,043,247,
493,368,394,305,832,754,995,591,791,024,912,892,346,717,471,343,028,222,107,
829,949,987,987,440,845,428,666,596,622,032,324,914,332,005,019,046,606,233,
408,962,658,327,607,778,274,802,072,772,616,922,953,880,050,998,084,002,639,
235,365,671,937,720,652,557,664,364,885,105,708,523,922,996,442,496,245,156,
043,720,831,341,106,536,040,103,199,257,131,647,259,821,482,171,438,110,802,
368,277,618,779,507,461,735,228,141,812,609,578,146,592,320,886,295,177,012,
980,256,801,649,390,905,434,712,446,862,427,159,170,948,783,413,811,609,468,
020,916,574,414,649,113,940,389,546,533,305,324,268,909,997,150,708,553,140,
756,567,860,185,905,608,544,299,531,386,825,434,862,673,305,851,487,256,410,
807,710,474,274,917,900,656,376,570,449,090,292,442,948,182,145,789,966,903,
714,260,214,201,063,268,331,727,529,713,091,025,047,349,625,322,001,037,899,
861,096,729,763,334,607,780,325,422,585,860,491,646,468,746,568,154,866,136,
155,251,751,770,668,838,165,420,395,625,588,157,265,394,419,137,211,207,878,
390,081,293,546,679,844,042,348,739,961,082,792,415,492,504,484,566,582,813,
303,686,399,695,785,319,283,826,510,901,538,392,433,331,118,176,934,080,962,
426,062,885,584,424,439,555,265,490,643,694,700,034,013,516,441,901,760,853,
373,801,680,487,011,548,633,942,994,351,190,033,487,684,074,204,899,247,731,
415,477,809,144,539,717,157,587,148,439,598,285,258,491,790,948,049,683,642,
244,824,491,800,803,889,088,917,997,400,895,738,623,491,785,483,871,732,524,
782,799,367,807,111,798,473,664,420,020,816,709,408,708,469,951,323,817,347,
231,178,466,233,680,048,355,699,683,831,921,246,662,715,379,680,626,426,174,
514,177,233,699,778,626,480,678,379,598,982,405,189,729,228,365,949,198,813,
940,751,255,675,019,182,078,740,461,392,941,048,378,084,836,954,593,944,359,
376,176,281,093,995,076,826,759,230,560,370,473,662,147,291,701,939,890,573,
732,896,388,882,649,968,007,840,858,758,523,027,880,150,656,546,219,943,474,
540,466,406,547,321,758,701,176,286,325,254,376,473,503,671,813,683,388,350,
864,402,719,228,186,576,998,482,560,858,509,978,675,717,263,595,636,981,888,
903,872,770,249,350,211,169,260,556,936,673,338,150,365,014,705,481,060,367,
045,855,568,632,129,733,935,941,302,252,527,479,479,702,251,348,850,329,552,
071,996,413,725,621,167,975,988,713,391,873,008,729,002,472,847,550,960,098,
554,304,243,151,702,520,504,158,193,140,822,721,835,277,638,110,973,376,145,
246,128,902,970,745,681,404,671,430,881,995,583,882,335,070,717,348,222,261,
406,546,358,429,016,904,211,438,899,585,821,344,082,754,469,283,913,977,473,
588,335,790,381,873,947,019,809,503,937,301,958,795,704,559,713,848,005,297,
113,733,864,039,983,112,310,336,007,602,197,258,555,020,350,514,520,593,663,
324,824,313,572,886,481,372,520,870,153,330,391,086,629,311,143,942,081,907,
420,634,730,975,038,913,352,148,490,512,112,790,149,859,561,173,198,909,418,
876,617,122,354,356,648,816,109,748,372,919,935,942,712,952,614,628,673,855,
883,676,717,000,634,476,337,148,997,781,612,872,409,698,389,660,901,846,933,
998,220,213,767,764,182,516,086,377,260,942,644,897,919,808,941,234,942,104,
287,869,914,295,927,738,208,345,264,020,576,165,375,316,431,106,791,981,472,
042,577,491,974,963,645,801,100,187,392,795,208,615,821,403,490,485,562,583,
434,560,958,880,401,492,641,705,373,029,726,562,823,424,715,587,241,728,444,
763,986,471,651,516,684,392,945,639,192,429,842,756,421,873,198,079,887,002,
507,484,117,320,342,574,201,931,361,240,361,102,245,301,332,403,561,671,534,
605,888,421,155,605,480,003,677,399,122,893,486,728,865,777,144,200,605,870,
717,994,804,199,264,974,610,201,930,552,449,440,273,187,153,350,988,096,874,
839,421,726,124,210,530,535,436,615,530,214,578,441,577,704,619,436,697,345,
159,252,528,987,403,104,929,423,142,880,776,103,892,303,922,884,349,437,505,
669,593,643,719,287,107,377,053,222,643,659,126,365,297,584,129,280,485,597,
691,934,962,565,670,117,285,776,091,933,502,394,928,384,621,600,977,723,920,
239,784,546,367,818,245,637,067,716,591,722,135,986,126,380,281,027,802,778,
987,576,275,038,037,249,588,710,343,564,292,293,201,823,869,456,896,340,292,
640,420,025,802,628,300,948,043,258,110,070,467,967,858,343,928,815,034,708,
479,901,960,400,727,284,043,877,211,367,083,772,121,092,171,211,647,631,323,
373,598,563,953,497,417,142,553,440,966,799,836,911,824,078,662,437,413,556,
221,960,809,235,096,997,521,485,855,387,706,840,620,288,578,887,062,519,658,
412,681,477,322,010,751,387,067,503,688,036,409,199,924,334,792,176,751,226,
775,931,501,188,330,970,925,994,184,711,955,015,854,121,011,611,415,292,516,
355,533,836,438,381,373,252,784,802,443,780,298,789,558,387,357,443,379,880,
064,105,162,793,126,174,810,781,874,328,263,234,321,275,457,247,836,212,647,
944,703,098,091,669,731,500,325,648,631,105,502,689,054,209,769,165,160,880,
593,917,128,923,744,897,158,465,020,013,480,007,962,105,965,418,982,886,197,
663,764,080,218,168,734,877,355,804,743,436,941,936,410,383,996,748,944,182,
698,287,147,273,367,523,945,256,171,198,319,176,805,794,900,888,026,401,025,
871,868,031,559,519,398,667,268,334,393,406,755,726,029,197,507,360,320,715,
338,013,517,185,126,856,696,125,995,597,642,832,886,727,583,939,646,210,058,
788,164,506,816,651,766,254,582,372,140,371,452,502,001,739,669,330,015,989,
003,589,305,607,075,576,900,497,495,790,900,890,036,287,940,618,083,531,171,
311,922,545,628,062,993,359,616,379,828,360,547,822,127,182,658,366,897,620,
174,797,077,737,650,359,795,415,502,960,361,225,254,564,361,730,054,431,423,
498,067,884,071,115,809,831,058,758,761,644,940,725,205,415,755,792,765,051,
409,666,208,676,000,455,125,641,713,253,023,885,525,999,522,319,608,669,931,
174,667,676,016,433,972,437,334,193,184,557,040,327,464,601,650,921,687,163,
364,237,220,747,563,262,244,641,432,575,021,593,035,348,358,869,272,519,143,
702,012,497,429,190,833,917,019,059,899,529,833,968,312,932,079,860,805,468,
888,474,284,227,278,221,309,685,691,585,703,308,399,608,111,777,949,838,188,
950,177,733,813,326,452,635,409,232,626,353,463,896,171,147,205,022,930,174,
022,368,384,974,370,967,030,612,725,821,644,469,504,072,324,513,204,579,757,
818,087,588,276,685,051,087,828,704,643,319,366,110,251,069,241,528,936,226,
154,592,347,980,110,884,021,936,655,556,481,872,153,213,175,712,572,956,288,
543,730,731,382,771,656,808,411,585,459,141,992,250,486,000,234,019,780,347,
468,839,326,819,742,650,970,309,645,650,477,687,120,264,565,988,463,385,935,
847,731,099,171,723,115,408,238,457,662,097,955,182,604,773,515,203,943,548,
462,167,913,033,100,709,964,733,910,459,643,935,250,217,595,171,792,417,845,
554,273,355,842,694,122,496,018,642,475,888,787,361,403,778,136,057,274,959,
497,524,127,058,382,174,719,524,814,855,126,772,917,938,573,608,892,347,136,
922,035,915,524,833,358,919,200,360,318,277,964,901,213,057,237,617,806,658,
889,995,568,834,248,258,821,891,370,354,534,912,457,687,568,835,154,871,303,
327,069,491,751,279,727,360,764,564,570,727,110,185,876,836,374,015,029,714,
117,659,754,341,899,689,401,084,740,140,374,734,913,782,614,131,093,520,470,
227,441,362,208,084,096,452,464,189,589,573,430,705,314,594,760,506,740,144,
396,125,934,637,130,427,050,891,686,008,606,107,155,380,342,489,276,284,891,
341,192,412,653,048,655,141,409,065,613,291,447,010,989,526,134,134,052,386,
253,588,831,146,915,656,218,209,158,602,619,752,824,266,250,031,265,061,534,
860,124,749,601,910,023,051,111,290,408,473,047,991,624,119,699,847,381,551,
247,774,290,769,512,918,557,424,181,692,332,054,667,770,221,815,798,882,405,
523,486,856,819,065,534,360,841,826,730,629,236,935,617,606,480,704,330,523,
105,096,744,274,272,397,549,615,926,857,854,322,153,309,873,123,211,321,876,
681,414,944,595,218,644,715,809,990,050,415,938,239,194,607,138,742,295,121,
022,213,953,188,571,308,215,314,298,429,860,921,344,715,056,896,309,874,412,
008,954,784,542,932,055,731,225,611,156,660,744,362,048,084,377,995,355,987,
012,178,882,670,879,005,520,986,922,950,726,596,031,933,016,914,941,944,954,
640,080,620,811,794,150,589,502,118,768,015,998,113,744,289,197,715,577,758,
757,621,003,338,079,474,071,780,156,517,556,565,814,298,406,436,688,612,624,
212,562,298,251,780,994,997,380,194,800,116,992,596,290,598,586,521,759,055,
771,471,503,563,327,888,912,355,839,442,146,048,797,824,306,550,643,725,360,
332,503,246,046,254,375,409,073,768,188,416,180,691,592,692,884,192,362,363,
278,810,995,438,461,056,207,471,994,562,801,809,190,391,466,846,186,717,477,
169,095,819,793,049,819,941,256,133,954,368,097,477,709,712,963,622,433,336,
299,823,312,968,594,100,928,146,641,841,145,845,107,254,099,963,180,669,388,
885,253,172,455,777,984,773,022,248,813,986,962,936,773,161,593,461,694,571,
948,326,753,023,255,349,465,225,685,139,958,182,681,824,210,846,628,282,190,
024,190,130,269,818,857,673,664,615,261,681,032,077,699,862,176,183,900,088,
128,622,061,766,083,235,513,422,940,527,341,706,351,010,606,880,433,217,665,
679,644,579,131,289,146,197,031,687,144,798,385,561,523,299,631,252,010,212,
327,091,684,655,464,944,788,475,607,237,730,426,417,133,676,147,236,086,413,
190,439,274,905,199,592,409,662,559,025,931,426,385,790,736,673,974,261,414,
592,910,180,040,202,733,846,919,213,060,144,688,354,038,080,772,342,858,345,
151,082,276,749,286,441,133,175,638,173,241,775,971,026,007,939,221,637,760,
765,719,896,183,141,851,690,633,929,818,148,509,218,351,858,610,070,520,057,
313,431,213,616,519,368,274,887,937,396,801,965,643,353,249,677,388,926,675,
834,082,316,337,787,885,422,919,714,118,444,624,649,590,338,517,617,731,316,
120,003,034,193,004,913,404,047,098,027,972,621,452,030,233,681,570,617,111,
373,164,842,662,786,639,095,411,484,394,870,601,310,199,744,964,253,161,567,
787,248,693,230,334,524,483,652,481,654,061,791,449,178,549,786,696,224,947,
240,442,282,808,051,030,093,789,214,525,472,731,311,383,290,384,983,952,232,
259,945,154,544,075,512,862,751,772,178,783,209,405,928,410,336,772,160,202,
011,911,515,657,370,560,747,847,493,249,167,769,898,084,754,786,944,204,618,
798,721,370,686,203,018,788,697,475,648,350,342,773,041,127,111,786,464,811,
883,546,011,334,355,965,013,397,401,886,231,870,510,029,382,555,350,952,820,
773,547,701,641,650,795,100,488,790,352,557,271,402,395,767,719,606,759,655,
785,218,596,746,932,566,306,757,374,874,634,185,829,328,396,889,863,519,340,
273,088,858,543,387,641,075,683,834,894,884,241,811,188,484,423,478,548,635,
967,671,672,460,746,972,028,729,123,464,412,797,597,148,209,421,458,528,289,
769,610,787,663,193,079,639,340,912,642,202,223,441,413,037,730,855,338,752,
915,087,745,300,604,001,868,004,586,199,656,110,396,105,773,025,149,304,621,
516,645,245,039,683,516,857,262,393,041,594,156,591,981,621,960,140,934,842,
688,724,626,247,716,010,631,245,527,752,951,151,456,815,375,493,390,937,924,
320,656,074,507,873,509,075,523,776,878,860,741,449,684,365,804,710,436,516,
778,885,868,218,320,325,003,804,320,147,312,993,491,614,452,485,185,271,706,
555,299,527,806,921,503,913,474,006,268,282,678,506,309,462,538,463,041,983,
684,298,100,134,972,168,310,360,048,753,899,482,521,072,369,677,244,424,531,
206,480,269,328,199,414,276,533,419,184,431,029,422,640,661,697,567,856,015,
710,129,051,107,265,100,336,414,437,423,255,170,485,040,450,683,789,839,259,
440,047,787,201,015,388,269,280,088,055,361,618,849,566,506,615,809,629,470,
716,037,017,621,561,940,014,798,890,322,057,554,242,609,503,512,174,588,565,
631,629,248,490,103,734,206,672,487,022,117,815,779,878,899,909,034,531,380,
574,877,606,721,302,704,063,861,756,353,405,054,596,532,616,366,658,425,700,
186,014,789,543,779,567,897,610,339,629,427,664,951,645,237,847,924,962,623,
564,165,405,356,711,773,431,354,458,417,866,636,312,778,357,593,513,944,756,
646,368,275,849,473,845,327,125,019,936,906,045,592,000,227,730,300,279,189,
420,979,591,867,686,345,847,685,992,805,274,184,411,693,361,026,913,390,491,
890,010,497,702,303,288,040,286,098,312,009,798,426,386,446,233,878,115,325,
383,679,838,876,971,070,032,658,396,689,086,332,371,409,388,284,384,044,235,
810,471,047,567,345,060,828,601,853,275,236,559,558,819,088,810,306,794,809,
724,311,502,208,136,888,764,822,269,510,095,691,683,400,075,423,142,598,977,
214,452,634,832,262,734,456,464,551,997,781,000,195,358,945,531,228,388,451,
975,407,755,998,498,972,760,828,647,936,552,548,959,404,001,271,521,656,062,
217,631,778,957,523,313,863,260,603,973,468,348,246,560,281,491,448,675,427,
831,388,591,289,289,162,647,924,289,597,422,125,641,536,132,593,864,199,290,
499,845,851,998,162,988,785,398,365,651,146,250,535,045,659,559,347,014,095,
878,639,222,932,967,140,134,897,660,167,014,132,933,528,559,091,124,178,980,
577,386,343,405,498,669,255,363,187,277,645,215,943,571,891,936,138,733,586,
885,363,430,873,082,409,616,346,957,327,281,127,384,213,741,224,550,314,558,
778,576,099,338,128,872,438,238,626,296,758,610,066,426,046,547,167,563,653,
098,376,311,875,774,401,963,662,348,520,488,114,779,561,524,986,312,384,265,
649,874,712,110,659,362,798,438,624,363,072,642,303,869,833,483,870,278,025,
668,655,458,133,766,224,835,057,716,429,103,756,633,680,298,514,965,538,316,
451,122,670,098,164,289,194,944,399,741,866,297,637,674,281,902,123,608,340,
723,648,255,840,974,248,954,437,199,345,444,990,999,682,703,699,502,276,218,
047,765,050,079,581,363,968,904,291,042,749,291,366,369,077,108,523,081,557,
455,643,196,744,535,985,997,510,438,127,335,921,234,030,081,715,328,708,181,
238,457,379,103,369,483,347,201,762,631,066,147,464,046,020,290,111,197,873,
223,005,645,234,423,544,155,432,673,846,658,121,978,841,465,902,194,326,986,
142,672,229,065,240,502,769,081,338,659,138,603,354,117,625,816,680,908,960,
219,832,589,889,565,645,148,309,173,277,004,431,654,887,428,708,103,426,459,
184,985,837,053,350,377,460,643,290,605,413,328,045,564,980,628,338,040,441,
643,991,490,489,551,428,426,587,105,756,102,687,326,499,180,438,449,998,669,
361,615,826,394,134,126,104,938,026,467,665,981,695,481,610,170,146,836,216,
725,475,917,233,651,229,727,664,145,379,502,413,145,412,502,508,574,984,969,
432,700,613,036,245,487,970,251,958,375,646,043,658,409,160,575,416,426,724,
854,217,421,229,160,488,945,726,715,106,892,141,641,855,114,451,716,651,064,
631,821,491,762,105,937,263,425,418,898,581,763,884,242,548,114,205,912,496,
986,380,503,209,242,649,218,333,763,005,587,036,957,001,578,730,186,102,562,
468,538,532,423,381,096,047,094,552,034,837,381,574,411,826,895,879,186,375,
674,884,362,968,403,166,490,333,287,827,584,801,403,660,291,444,540,306,079,
127,780,331,850,881,283,744,470,797,964,624,802,808,214,562,176,204,772,166,
993,910,194,422,775,910,249,729,982,877,936,301,614,084,527,674,764,237,010,
328,125,360,981,285,809,168,277,082,842,452,731,718,785,662,429,763,853,442,
562,966,509,025,394,079,046,792,783,400,119,437,999,522,973,082,541,232,111,
432,561,025,693,954,373,496,124,776,886,261,264,820,657,263,349,022,070,978,
991,043,534,948,664,995,600,852,187,926,747,791,073,474,740,939,242,678,758,
103,514,886,702,285,545,365,921,345,993,650,146,072,546,206,212,616,919,862,
387,396,637,177,823,079,437,263,113,130,779,548,678,602,453,319,782,709,584,
398,186,983,218,419,047,142,136,192,757,130,563,265,982,562,825,898,425,481,
118,648,925,164,223,701,587,186,235,721,930,805,409,243,448,890,575,804,883,
322,535,586,292,614,072,931,787,454,140,947,599,158,015,696,844,165,503,503,
954,527,894,275,753,267,707,518,851,802,081,454,034,432,902,306,386,109,824,
926,944,580,889,419,553,093,696,183,989,058,977,162,224,315,391,719,615,862,
435,639,550,857,864,990,568,470,347,793,246,131,617,669,493,170,862,521,289,
019,503,047,159,110,650,395,988,088,323,692,256,340,444,700,889,748,183,672,
491,916,635,756,462,785,518,416,171,656,232,084,147,076,646,580,675,417,085,
086,423,847,196,552,901,283,131,708,043,641,269,257,923,993,904,775,728,063,
005,251,370,860,970,334,678,508,549,026,033,983,344,799,985,882,284,146,051,
731,703,613,796,077,948,624,054,220,530,958,890,790,249,210,907,519,509,192,
436,815,717,134,602,552,911,160,327,484,947,281,214,319,473,864,136,210,081,
200,845,757,710,432,079,430,744,419,754,063,370,175,748,650,009,611,977,687,
182,125,813,978,130,038,902,793,259,923,616,191,600,604,921,570,908,027,460,
675,387,332,258,674,047,050,032,853,750,967,720,344,357,084,442,653,962,468,
412,490,479,874,718,786,459,397,463,103,741,685,826,549,947,049,740,256,368,
999,228,693,860,825,410,853,340,390,432,991,436,496,387,900,092,917,853,147,
955,252,102,300,828,202,233,206,414,670,613,868,336,855,312,631,079,712,759,
707,426,650,189,159,274,350,890,772,148,935,225,475,018,110,112,114,595,727,
128,761,168,465,959,274,682,356,719,979,576,528,789,378,651,667,924,743,001,
750,118,267,832,596,820,462,070,033,502,680,111,196,143,928,910,188,379,220,
983,696,356,232,292,224,665,562,267,650,255,182,123,169,380,504,453,026,437,
014,574,109,157,035,560,895,784,540,849,189,155,633,938,146,550,954,814,509,
084,226,552,325,670,303,942,578,552,757,320,283,491,478,128,485,308,195,312,
196,097,371,901,700,367,602,510,672,486,645,935,996,456,367,779,580,900,536,
921,763,066,684,578,655,155,062,989,922,997,062,885,652,442,851,390,831,562,
792,184,720,390,021,878,262,418,771,726,635,945,978,385,914,746,312,869,540,
012,952,098,520,650,674,462,392,220,950,765,949,288,132,172,224,673,316,268,
097,899,839,932,786,719,718,386,738,487,454,633,378,160,835,697,008,148,580,
133,628,278,311,101,071,819,614,072,658,310,488,626,158,712,251,670,067,791,
396,447,868,898,294,576,693,414,139,156,102,265,274,644,489,137,557,943,171,
450,929,083,736,849,607,071,271,996,114,901,780,923,222,259,046,655,737,798,
562,357,667,363,927,422,379,844,636,841,710,305,100,322,885,201,004,949,736,
039,471,124,432,183,943,121,420,625,025,018,568,698,049,182,819,141,521,456,
731,649,058,157,835,512,394,387,068,320,624,399,960,870,080,904,650,486,098,
611,198,264,075,455,598,251,485,177,621,549,692,241,104,287,715,456,628,203,
117,428,742,916,488,539,592,939,576,023,205,591,295,349,800,332,427,883,296,
276,577,519,250,981,949,683,839,278,590,027,407,168,366,234,475,020,874,240,
594,194,911,876,642,561,019,656,321,229,252,554,557,343,749,584,461,347,963,
746,769,782,927,143,515,772,642,716,084,850,958,092,667,287,735,746,301,290,
538,377,556,631,431,002,965,750,562,204,644,023,355,227,734,539,840,196,216,
139,643,970,525,302,022,796,565,206,766,737,373,171,975,088,773,965,086,387,
790,976,224,520,498,009,917,325,918,501,847,890,446,014,014,167,264,013,782,
402,743,055,380,764,365,823,911,124,519,408,846,942,129,638,460,715,847,003,
246,197,644,368,980,975,456,406,482,088,994,983,203,079,660,961,188,403,956,
735,657,001,778,055,182,200,712,086,540,722,709,955,146,336,329,037,432,539,
924,759,253,239,449,731,870,505,901,447,751,618,053,491,989,690,444,963,000,
554,559,708,521,183,256,781,395,961,295,534,066,567,184,024,709,679,940,408,
927,564,279,226,133,772,507,820,525,450,522,949,947,532,442,002,022,885,483,
966,232,058,238,901,632,109,883,035,895,484,118,098,984,522,966,580,511,356,
003,714,737,521,052,104,260,600,903,126,278,331,216,715,902,457,829,640,086,
377,407,835,424,742,484,562,973,447,558,402,626,875,679,075,085,167,044,705,
440,535,165,349,453,611,259,030,614,745,846,916,914,061,375,961,421,618,812,
981,371,297,231,357,258,661,636,846,023,555,387,070,780,542,111,064,401,560,
070,696,745,161,284,114,200,210,994,563,599,386,394,802,149,154,204,191,695,
638,522,394,266,853,120,142,889,398,345,034,057,696,497,658,916,984,142,112,
927,970,110,343,204,791,307,987,235,275,415,118,118,871,455,506,838,056,773,
996,121,484,473,152,598,442,841,306,629,280,060,024,029,890,561,454,853,208,
235,446,068,136,437,095,055,098,944,421,563,909,939,589,630,665,955,718,871,
034,923,190,156,844,643,896,204,225,458,810,177,446,972,709,610,530,060,490,
054,585,121,437,707,521,192,035,015,978,294,104,096,901,385,899,692,869,685,
400,286,595,990,354,475,319,011,766,827,184,320,043,336,618,903,252,947,575,
853,333,534,019,763,205,962,122,438,617,031,164,198,040,788,868,320,374,473,
809,546,653,206,283,814,053,750,349,107,037,175,978,167,968,820,374,176,715,
033,118,757,522,335,622,196,562,355,929,193,704,792,105,158,149,961,662,316,
259,552,107,366,255,959,439,214,641,576,523,441,554,506,029,547,700,012,773,
566,570,455,237,451,436,844,364,639,820,074,940,121,388,475,966,793,108,446,
487,509,467,196,669,771,944,164,410,627,823,733,954,764,216,904,761,116,644,
719,142,043,161,632,412,975,831,472,819,056,798,575,528,575,748,604,290,756,
052,896,791,618,444,117,593,812,828,244,869,597,273,914,661,497,953,531,353,
430,960,465,006,134,800,439,290,393,611,840,163,663,357,189,753,308,401,895,
500,039,684,693,719,258,060,504,062,545,137,243,633,310,176,442,441,956,323,
590,539,161,347,704,151,799,054,759,763,769,803,602,159,154,407,782,494,957,
048,542,887,250,331,668,680,750,811,083,977,763,412,969,829,561,557,050,389,
127,921,144,819,823,334,921,165,273,042,011,445,841,743,309,099,845,459,661,
421,506,295,077,983,731,328,222,458,182,350,255,375,035,892,370,478,054,978,
749,548,286,401,698,748,735,896,298,673,415,566,017,281,348,506,258,176,909,
688,412,570,169,918,600,415,358,348,180,054,978,875,772,413,267,555,124,807,
288,956,147,128,931,206,521,304,294,300,388,938,302,208,904,451,368,588,603,
791,991,208,442,208,812,475,926,105,336,082,646,939,234,267,309,341,328,865,
341,434,434,378,526,351,635,263,671,110,843,742,620,158,334,044,763,286,753,
943,452,787,418,072,330,588,676,594,147,257,245,362,495,352,491,094,688,323,
058,442,304,787,029,297,676,070,114,489,775,680,814,450,106,805,317,197,931,
866,613,848,951,409,922,061,655,668,672,309,504,986,184,534,750,884,797,349,
149,095,582,903,983,327,735,027,703,940,431,934,898,628,124,855,575,161,397,
683,341,360,976,468,212,697,412,783,379,987,734,161,529,699,824,304,824,538,
266,064,542,448,642,406,564,934,030,302,384,921,608,447,570,906,681,461,078,
568,087,532,672,699,649,324,988,082,253,218,091,811,471,228,407,950,641,883,
449,640,196,031,979,555,659,704,550,214,037,781,308,252,387,755,729,378,005,
553,039,853,800,747,018,154,357,432,582,261,973,428,292,622,033,679,119,480,
386,674,800,208,534,558,673,931,542,360,744,385,341,363,022,677,849,900,155,
711,259,179,281,988,849,454,027,521,920,608,338,507,667,043,935,912,384,317,
707,387,526,013,975,317,905,605,069,684,835,669,665,203,353,330,633,044,089,
080,651,788,966,852,990,051,980,026,652,132,082,476,653,435,982,116,095,739,
628,994,873,452,291,834,184,147,258,438,132,650,885,157,441,928,611,393,111,
167,277,159,083,452,606,424,944,055,717,872,854,060,671,349,669,971,003,370,
341,898,358,002,210,187,967,545,191,189,436,929,328,287,597,048,160,910,989,
721,971,039,228,220,863,716,116,706,201,042,275,903,150,474,590,973,762,115,
942,077,256,676,739,862,194,450,795,547,408,916,701,539,577,057,845,351,866,
050,350,269,952,414,756,169,455,236,351,144,801,576,730,534,762,202,066,530,
576,281,694,838,489,102,390,212,511,352,294,990,850,478,196,605,710,944,039,
161,461,579,072,348,070,745,036,933,469,964,534,973,267,964,524,046,090,808,
892,730,470,911,690,469,833,888,962,051,632,654,675,148,745,222,810,127,516,
245,226,900,751,214,134,068,001,348,103,531,809,972,262,131,924,320,954,261,
064,405,821,800,661,198,381,900,735,068,360,861,869,599,048,302,293,255,852,
638,799,582,016,538,045,260,827,945,712,188,691,036,116,023,561,707,263,379,
407,203,938,541,357,332,407,013,368,845,875,691,100,422,426,833,030,701,613,
649,728,309,422,052,914,450,435,051,722,499,175,321,185,127,600,376,301,785,
643,001,622,995,897,310,513,401,694,844,508,273,879,394,416,466,231,127,858,
640,486,644,175,790,885,718,076,333,374,226,607,157,545,383,316,308,959,027,
757,793,420,967,059,900,623,750,572,118,225,458,453,650,508,771,369,136,154,
939,248,761,515,752,848,715,606,625,637,342,546,318,322,927,143,159,583,791,
196,014,632,679,049,500,481,887,801,032,191,410,856,992,575,826,687,978,491,
313,776,441,461,099,191,378,507,187,484,842,781,344,972,091,879,403,226,299,
863,156,791,758,532,718,611,636,885,879,187,580,660,630,722,152,370,968,286,
700,074,143,288,380,724,713,454,587,442,651,530,151,727,386,123,102,765,425,
200,596,666,086,622,192,484,073,119,270,687,831,299,317,586,349,051,382,980,
507,673,054,962,674,899,120,210,605,232,723,380,736,587,604,093,790,656,603,
713,735,219,522,641,859,358,228,593,591,148,718,052,658,201,394,057,627,731,
741,047,442,596,227,681,355,957,108,679,715,827,572,689,196,484,612,856,318,
237,650,380,141,138,921,285,925,163,472,697,902,867,149,013,323,163,880,832,
837,303,021,456,678,969,661,403,218,161,618,619,865,824,903,064,139,699,696,
369,403,165,645,998,499,563,724,808,210,807,092,857,957,525,224,469,119,414,
111,614,879,985,127,430,137,755,708,239,074,816,458,681,435,424,088,514,800,
150,004,380,270,979,435,896,150,708,668,307,642,684,291,108,486,908,943,671,
183,042,734,780,577,508,259,764,864,483,618,040,116,690,199,165,424,614,945,
592,558,490,634,822,204,250,531,843,087,767,270,490,052,717,954,964,501,312,
228,710,077,870,653,881,353,263,430,773,789,790,690,285,727,690,654,874,735,
503,230,462,927,930,209,615,632,037,977,372,612,935,493,167,451,782,139,378,
511,394,535,933,629,179,381,129,309,788,333,447,924,295,306,947,958,474,345,
150,236,112,692,192,379,617,810,349,489,822,425,787,783,312,768,419,901,326,
955,392,208,767,557,454,827,290,804,088,550,440,150,570,147,287,186,163,625,
663,120,609,125,745,704,253,739,648,887,380,810,990,099,225,958,279,945,515,
154,268,064,979,318,444,679,468,431,923,141,989,806,211,409,923,524,782,464,
117,566,315,647,611,942,818,353,738,215,942,374,792,768,574,178,784,431,296,
208,543,456,916,065,617,971,762,491,406,704,982,707,670,747,265,913,742,953,
510,206,292,335,323,083,696,418,688,432,055,792,509,146,637,569,353,010,567,
815,479,388,724,168,907,952,102,941,171,354,400,848,118,253,057,895,189,683,
644,929,363,094,894,169,163,063,556,837,331,849,544,080,829,690,912,649,706,
022,369,250,139,355,945,393,228,228,772,934,371,185,674,337,559,925,389,542,
280,499,214,754,207,633,194,324,546,910,636,030,231,408,218,693,891,143,254,
585,172,576,061,857,937,131,221,892,580,969,102,848,052,721,893,540,051,143,
622,436,079,421,751,582,728,063,743,298,681,176,437,060,044,365,333,206,075,
581,347,351,399,286,589,452,319,699,031,311,067,931,617,605,399,092,492,417,
145,629,324,200,537,784,152,642,839,835,288,672,066,645,428,531,814,122,540,
767,527,237,475,468,736,015,808,664,025,793,527,569,773,936,479,606,957,073,
469,219,106,556,834,103,059,150,647,604,700,777,988,366,838,078,636,858,605,
717,735,741,118,031,227,174,013,087,209,859,835,691,904,594,373,885,948,691,
667,566,067,136,791,755,114,006,659,029,468,339,771,426,799,564,049,806,179,
519,646,032,796,182,809,666,750,114,834,825,595,654,210,758,216,658,906,576,
067,124,287,327,423,024,605,388,067,524,870,902,582,820,288,111,360,079,176,
412,862,898,827,723,466,660,594,655,823,965,013,357,716,945,091,716,768,559,
321,306,329,966,316,699,746,772,352,373,547,825,845,606,973,460,164,106,559,
010,894,663,383,881,023,186,803,336,851,244,183,108,887,822,099,522,617,220,
575,644,708,530,605,570,580,860,668,963,325,280,720,762,637,472,608,257,586,
401,464,252,291,847,532,149,431,344,164,669,234,812,394,995,269,709,359,314,
619,890,153,967,459,915,868,237,171,189,665,497,346,218,430,178,030,677,757,
424,505,523,062,001,902,348,195,303,747,766,656,124,535,215,411,269,238,281,
503,349,875,570,676,794,301,432,663,466,139,875,475,832,398,311,662,553,008,
014,880,493,901,793,808,714,907,150,741,401,516,843,365,659,324,461,074,341,
321,316,812,029,471,096,296,791,258,889,504,442,830,250,330,811,093,074,660,
078,648,781,343,061,855,505,253,266,951,380,112,188,146,480,333,778,268,639,
365,537,389,856,298,269,299,906,357,911,870,718,649,589,438,101,619,670,636,
761,815,136,553,991,038,888,652,065,022,538,370,107,325,422,991,369,646,460,
493,128,040,473,171,690,075,142,142,441,352,576,740,809,284,809,348,479,877,
050,546,653,619,117,869,027,861,428,555,765,808,316,553,518,869,727,397,531,
075,431,959,005,509,500,341,698,004,192,744,753,031,041,871,246,663,072,859,
214,095,218,092,919,482,318,159,240,521,079,015,179,178,287,175,090,901,143,
692,994,039,702,925,971,485,465,908,702,013,329,772,791,098,932,179,739,301,
110,335,801,406,316,749,921,768,088,269,865,254,829,909,925,934,207,825,855,
809,064,769,520,811,194,780,055,135,550,190,867,643,906,417,068,269,469,324,
346,683,738,635,467,348,440,791,083,923,374,876,162,741,976,137,689,102,599,
257,720,621,197,717,315,026,192,938,183,905,082,926,373,965,588,210,207,616,
748,390,308,339,350,347,323,564,308,599,690,676,960,248,120,901,740,533,773,
354,401,105,849,098,053,759,111,297,276,489,749,350,643,795,633,900,397,900,
783,924,399,566,041,910,325,994,514,168,503,654,527,273,637,726,462,109,547,
666,508,879,745,515,870,636,491,905,623,773,212,043,971,806,779,378,427,750,
972,374,407,041,688,359,264,031,744,726,350,359,677,603,388,147,576,271,173,
091,372,260,791,341,519,136,340,048,014,519,922,491,290,672,120,243,274,640,
336,560,007,994,689,436,667,627,290,002,295,254,558,568,243,166,599,712,316,
245,476,557,709,124,394,612,540,304,667,130,730,072,441,275,562,040,112,303,
851,442,671,469,566,122,609,996,545,202,926,085,240,256,668,580,999,169,927,
269,585,006,946,841,789,425,061,322,385,072,631,511,993,496,987,372,131,361,
444,545,777,669,071,481,390,737,888,388,496,573,512,495,494,025,474,815,087,
301,485,148,942,051,247,942,891,848,381,780,243,375,611,143,519,657,378,786,
254,752,747,626,615,769,396,775,150,265,276,974,698,085,341,630,135,466,787,
363,886,106,907,714,319,782,130,923,676,969,056,343,352,618,387,640,591,272,
503,701,663,500,545,930,420,879,245,634,702,759,913,243,575,466,310,686,138,
549,960,988,555,394,493,996,261,958,088,283,521,212,369,850,629,829,442,446,
139,491,897,160,025,478,166,988,803,574,905,196,735,521,013,299,814,271,291,
533,120,390,545,321,512,339,711,674,792,501,914,484,442,641,085,385,911,794,
430,000,422,144,547,131,483,291,518,887,324,000,788,991,147,757,521,393,759,
442,601,487,853,859,356,854,618,385,540,427,832,408,477,816,060,981,827,324,
104,626,657,205,059,550,356,823,208,372,052,461,020,026,158,846,125,707,846,
764,090,038,994,473,854,849,180,945,008,950,137,421,282,607,797,323,085,700,
534,891,187,746,632,426,636,478,505,292,114,061,093,391,492,122,042,910,133,
870,996,355,016,521,784,238,772,232,027,500,076,563,092,490,581,966,197,828,
157,170,790,335,308,518,511,967,559,780,355,371,577,218,506,817,137,843,866,
349,769,020,354,264,854,030,940,363,241,889,345,342,881,126,804,615,652,785,
498,211,408,778,963,389,048,585,936,871,851,984,628,729,491,184,474,017,733,
099,323,161,147,591,509,507,515,069,893,188,980,550,514,094,691,381,238,240,
844,725,452,987,786,907,095,692,188,146,345,691,479,593,418,279,984,239,815,
552,279,899,034,079,443,135,891,072,972,536,232,644,663,101,070,751,126,611,
233,016,356,435,762,645,476,690,744,069,787,273,015,638,513,915,001,566,823,
155,320,916,927,316,528,786,884,318,623,568,177,151,613,746,981,992,404,709,
005,617,233,988,402,127,736,929,724,830,828,477,205,568,139,581,444,463,359,
153,035,954,394,583,972,602,289,377,732,344,923,931,319,614,367,953,051,945,
454,497,551,873,834,387,715,208,350,930,092,587,663,068,822,758,969,759,965,
726,782,520,007,195,538,232,325,752,055,698,254,598,939,261,194,260,507,650,
259,338,130,007,017,186,807,257,608,787,752,541,168,014,911,599,444,275,751,
544,018,286,028,647,769,455,794,424,374,806,084,186,875,428,506,798,722,334,
240,697,379,525,465,617,930,008,544,901,767,724,718,311,806,538,988,160,337,
018,873,038,626,890,193,165,628,276,389,862,253,539,179,785,690,693,992,953,
844,179,701,639,924,481,675,258,758,478,953,129,787,711,349,853,294,504,125,
931,535,889,186,101,417,870,911,208,687,412,010,429,577,766,784,567,046,992,
639,990,180,481,181,389,522,955,218,864,399,651,313,297,184,419,745,887,091,
145,160,723,360,834,349,005,963,160,292,302,810,269,961,583,227,925,967,301,
769,524,966,347,676,497,987,762,982,156,484,659,317,942,179,224,253,463,902,
634,618,188,578,442,963,944,195,983,575,707,667,788,349,717,553,010,408,046,
840,277,823,785,221,118,001,529,509,399,687,312,496,933,462,835,845,327,238,
303,321,574,213,955,552,100,451,597,777,851,133,280,732,375,552,343,990,253,
399,022,891,852,327,089,915,545,572,510,310,928,584,809,972,759,321,342,097,
796,009,816,260,872,430,502,568,665,894,992,456,541,784,908,909,017,922,917,
325,804,840,724,258,118,891,280,469,953,744,975,311,584,018,875,831,456,229,
395,426,290,789,888,939,704,487,853,388,771,697,589,016,699,799,742,880,696,
573,970,811,669,042,470,839,422,608,276,414,593,925,770,540,859,209,038,408,
963,982,560,293,555,863,148,548,157,604,314,070,710,138,735,395,454,955,971,
171,699,768,041,262,592,087,338,180,652,228,361,283,176,723,566,623,823,796,
883,746,753,242,940,179,545,493,718,127,360,872,410,780,263,293,054,863,603,
807,319,397,262,106,272,080,119,218,649,713,583,897,156,381,293,281,901,163,
382,069,017,072,266,123,237,585,432,586,010,328,380,083,296,000,349,983,270,
623,309,663,989,238,749,430,558,591,270,104,941,648,259,461,214,205,361,637,
927,239,183,362,249,538,646,958,594,023,001,448,580,856,349,261,330,087,016,
975,398,722,900,134,649,552,696,129,290,566,714,303,855,815,308,799,096,559,
755,217,554,763,198,860,539,671,332,914,919,906,075,453,606,891,694,871,780,
330,891,957,099,263,843,124,738,667,956,016,964,762,954,644,670,258,241,353,
010,278,108,469,849,043,274,594,098,599,661,736,311,233,889,835,513,321,971,
785,898,889,161,091,490,179,318,059,108,833,296,817,730,255,944,230,302,445,
877,157,429,225,611,808,363,946,625,502,113,958,608,974,967,508,403,447,446,
325,085,555,035,320,929,618,506,539,013,306,701,766,240,072,337,246,537,292,
750,930,200,647,439,885,169,636,098,228,181,658,430,549,203,762,738,436,183,
180,696,458,747,525,068,553,683,381,267,721,327,078,728,828,030,367,583,583,
209,211,140,979,446,708,758,631,371,899,903,517,816,803,099,803,418,870,862,
338,454,908,139,786,351,136,839,927,825,333,594,641,933,652,596,547,004,299,
312,845,758,652,189,926,745,959,871,490,560,454,202,598,617,708,729,874,892,
580,343,542,664,387,792,315,885,656,022,730,539,215,265,028,037,938,834,475,
101,960,719,589,519,118,604,265,842,388,067,018,790,123,890,950,247,103,511,
541,376,430,299,835,389,512,654,556,402,026,807,928,825,840,708,761,368,199,
619,933,674,326,966,368,966,062,702,165,505,691,473,061,053,463,758,353,386,
021,970,216,994,603,297,734,331,707,803,745,058,263,923,836,287,594,350,397,
186,085,231,066,726,702,564,243,582,233,279,362,262,169,222,990,064,684,454,
839,960,506,072,859,960,045,915,898,055,831,067,707,369,123,807,248,160,173,
248,802,734,107,171,934,154,060,276,739,814,173,569,062,442,968,903,834,249,
022,218,689,330,555,435,521,213,566,327,862,741,641,929,285,355,026,693,643,
847,012,164,888,842,913,203,038,865,157,962,846,480,279,158,219,660,781,689,
479,922,933,112,555,009,181,437,031,801,767,852,681,363,830,881,792,991,036,
652,528,756,256,357,689,810,419,007,436,052,979,083,528,347,432,418,452,356,
268,885,324,625,861,409,087,716,514,330,787,477,833,044,798,089,690,950,819,
115,503,097,610,966,959,105,401,087,820,943,139,909,336,459,980,745,083,288,
483,687,880,826,926,737,438,003,402,018,624,847,796,023,180,242,595,833,729,
504,243,926,063,847,672,403,202,721,760,043,036,247,829,313,436,750,407,777,
763,465,406,333,212,653,418,302,325,156,967,976,860,696,808,978,635,198,141,
261,116,480,441,656,519,657,736,852,060,976,430,525,983,238,555,915,775,506,
548,551,927,952,990,560,993,434,429,471,463,768,539,305,964,109,244,874,482,
425,538,259,649,738,831,528,059,386,233,005,437,051,267,266,990,971,856,178,
684,566,774,053,407,597,830,690,161,036,057,213,951,967,922,160,755,518,685,
328,015,437,317,665,246,555,626,893,020,699,904,288,155,166,194,003,699,371,
985,256,831,658,613,479,416,945,643,486,451,509,570,189,477,679,270,887,429,
514,646,606,396,739,748,031,297,045,816,381,525,636,214,014,069,676,999,022,
548,670,889,563,624,943,078,498,729,331,942,125,300,674,970,579,601,776,574,
111,114,290,772,958,441,897,305,962,409,357,929,085,141,218,956,221,247,247,
007,745,177,888,839,221,362,440,514,775,463,188,649,489,292,449,672,844,012,
484,346,988,637,967,324,661,888,092,270,935,080,653,309,774,329,115,376,145,
599,267,803,352,202,253,935,750,615,126,302,279,793,058,699,938,578,414,263,
354,187,257,935,502,803,267,131,076,407,643,420,720,955,703,831,306,869,423,
708,042,605,941,626,508,651,298,580,375,470,888,743,122,018,608,124,569,032,
774,259,577,280,688,313,436,844,812,843,331,780,051,391,779,426,734,694,713,
312,696,669,843,140,288,243,532,553,480,957,486,214,069,400,474,957,881,735,
446,089,378,366,424,807,426,657,242,745,413,068,583,543,769,162,890,047,353,
179,984,747,082,357,516,073,011,784,115,580,734,853,536,555,229,579,424,206,
548,232,237,250,020,745,492,656,910,247,174,993,853,264,327,386,259,663,529,
329,217,149,093,962,929,119,165,485,896,613,764,265,565,859,303,490,989,341,
594,044,772,618,073,679,381,972,893,697,579,116,326,202,418,501,347,018,777,
253,039,348,671,042,706,350,640,779,081,754,649,204,144,610,828,755,501,659,
116,335,224,249,242,997,340,381,742,237,858,453,187,381,939,792,330,031,480,
411,585,978,914,846,902,451,286,574,613,357,246,786,935,360,018,679,982,749,
310,573,518,065,863,167,010,759,544,083,897,254,691,497,595,465,311,917,194,
072,381,694,683,230,952,680,094,123,227,833,660,225,094,261,280,393,542,057,
373,319,816,818,953,868,992,990,696,618,765,469,516,562,242,851,904,346,375,
150,769,288,595,236,516,232,164,330,009,955,956,096,113,998,166,340,633,617,
171,304,076,111,187,981,410,749,913,752,712,615,605,955,604,691,031,725,937,
582,653,109,996,798,910,912,272,627,943,577,090,523,365,301,598,884,055,522,
781,761,384,250,110,488,063,917,921,804,893,367,105,238,385,595,083,597,870,
713,617,307,797,423,700,300,552,663,491,290,140,923,153,087,383,153,311,227,
778,354,937,515,769,863,077,664,307,775,473,832,279,489,567,632,154,775,825,
488,933,819,878,875,747,182,633,046,495,504,904,815,341,175,495,207,659,784,
978,333,462,799,275,143,722,661,570,376,045,945,808,862,111,947,449,381,554,
081,185,427,894,310,780,462,492,509,722,287,662,783,300,173,659,310,784,544,
853,501,533,741,059,651,612,252,152,001,530,712,610,466,103,217,305,658,189,
645,768,857,418,114,139,324,970,949,505,878,029,371,770,057,321,717,223,013,
825,284,259,051,271,657,419,533,410,981,073,242,978,420,828,780,063,071,260,
491,728,199,362,404,139,775,873,277,964,973,570,782,449,136,971,573,365,183,
441,247,920,190,065,171,751,604,413,581,703,015,214,301,320,652,879,742,357,
925,269,489,048,544,747,891,754,196,677,556,357,698,270,533,983,924,410,015,
896,772,725,813,570,706,758,356,530,213,590,969,518,666,820,478,485,569,854,
278,033,936,242,391,750,452,927,632,804,078,949,029,770,692,523,105,208,834,
202,161,706,159,942,527,805,610,801,941,105,162,581,531,102,839,422,349,104,
397,410,364,986,551,696,231,295,744,496,308,205,235,335,643,079,055,759,962,
743,766,668,995,398,544,754,741,739,591,236,250,080,352,781,544,528,157,086,
081,915,033,900,544,762,756,967,596,724,474,482,153,731,031,337,500,711,677,
245,056,288,733,342,538,145,105,919,460,719,792,668,333,078,927,764,694,177,
014,701,642,755,666,739,805,866,044,788,143,341,339,232,778,710,900,583,232,
668,837,843,230,600,321,165,508,729,106,085,942,585,382,647,306,034,355,176,
209,500,264,028,189,496,138,578,707,566,413,090,691,414,145,611,130,114,843,
480,505,266,582,923,997,999,312,433,275,078,565,718,533,955,076,659,727,368,
147,906,320,827,453,758,723,739,511,022,184,220,891,061,000,218,734,639,379,
782,107,414,704,756,292,290,878,524,185,440,388,178,003,044,295,728,430,815,
754,850,899,143,294,504,117,793,605,246,994,969,968,043,144,146,587,093,297,
457,379,571,814,327,421,627,775,895,264,659,773,821,304,142,069,912,166,770,
045,147,169,968,199,437,855,338,221,941,800,312,241,329,231,795,615,030,166,
144,976,420,311,926,430,127,158,931,669,839,132,261,766,929,576,688,521,963,
302,269,590,946,929,009,408,379,699,770,351,155,124,773,184,056,855,762,019,
175,831,670,315,366,043,961,904,107,206,868,683,968,838,711,186,927,936,697,
521,766,830,697,047,345,800,527,681,611,684,826,635,260,032,334,274,755,137,
805,270,048,059,466,291,303,376,300,038,028,718,295,198,072,777,788,741,499,
758,313,876,102,079,534,513,895,447,509,090,928,214,873,202,643,509,992,140,
173,289,775,306,391,332,479,454,367,463,980,690,469,447,343,205,584,900,694,
243,017,408,433,154,696,919,124,618,798,996,710,338,322,571,655,589,541,569,
335,408,617,011,736,674,975,525,125,005,559,254,702,627,187,710,494,307,608,
576,874,346,439,023,555,690,177,650,698,179,641,032,313,572,059,211,370,350,
647,770,122,861,051,341,823,235,801,827,239,165,813,745,415,748,062,153,665,
664,201,590,331,912,999,673,546,894,641,134,976,994,876,032,873,000,476,472,
781,504,177,872,226,171,397,778,784,722,199,699,904,509,975,483,185,310,046,
463,035,803,282,838,782,090,611,837,817,133,387,653,336,752,955,883,127,181,
898,948,105,427,019,910,983,499,411,659,625,159,635,481,435,090,363,286,196,
281,453,978,083,049,883,870,178,385,456,525,882,281,933,252,979,228,173,794,
976,247,956,169,916,480,402,974,336,081,720,711,083,424,012,356,179,466,354,
894,803,952,433,850,949,365,274,449,801,538,736,457,421,294,770,451,318,150,
254,821,322,585,812,884,519,818,067,601,333,992,334,384,328,726,533,774,590,
078,429,589,371,019,732,050,241,004,845,323,716,816,924,220,267,654,738,629,
193,232,632,181,710,827,863,709,525,772,330,981,926,618,323,905,357,340,252,
983,734,753,675,054,868,565,223,081,080,283,715,104,501,750,175,673,514,027,
142,156,533,671,400,127,335,660,577,490,898,160,305,186,610,080,900,482,584,
937,922,588,500,401,368,754,710,875,503,871,539,713,630,817,724,079,523,399,
288,296,868,079,708,796,845,123,162,705,557,426,336,005,042,810,866,148,570,
960,096,558,314,784,296,693,162,374,129,650,730,471,552,275,257,778,720,086,
777,531,862,540,024,425,936,551,118,676,287,527,940,929,011,842,060,128,501,
328,716,937,636,327,265,173,416,129,553,653,109,336,193,101,271,890,462,597,
144,024,056,082,753,515,016,851,789,329,706,188,936,559,088,918,222,210,503,
196,052,679,161,887,873,753,370,497,129,267,101,354,405,904,495,796,379,671,
779,565,273,048,388,312,296,534,559,858,184,189,010,343,819,544,568,911,451,
571,304,514,872,449,827,637,751,292,340,969,322,154,687,450,833,737,473,720,
445,032,294,713,830,202,349,563,710,087,152,837,610,844,310,991,032,791,304,
814,104,553,392,840,496,393,001,928,755,203,270,186,448,843,053,434,284,983,
939,848,771,481,622,151,745,022,651,206,097,367,026,970,174,681,923,743,065,
053,692,585,950,625,572,438,013,630,509,876,615,193,582,369,849,690,663,571,
926,621,286,616,353,819,209,893,081,418,888,571,127,581,218,751,016,244,756,
746,304,611,718,829,892,178,840,415,347,845,372,165,323,663,674,471,516,304,
718,643,383,628,902,999,854,446,191,382,794,992,004,736,231,435,926,664,605,
807,594,783,332,922,687,616,298,887,471,745,987,654,108,817,724,790,629,346,
543,434,693,467,013,484,889,052,978,983,987,352,224,146,912,730,817,584,667,
304,211,541,312,705,577,343,922,510,788,852,685,119,662,335,216,299,167,178,
851,334,093,266,896,633,441,543,911,499,801,072,953,775,096,889,419,478,697,
916,245,680,924,712,241,083,990,871,990,649,854,092,549,051,812,224,131,180,
138,339,665,213,053,307,809,936,645,431,797,226,554,694,160,455,120,393,007,
595,967,894,293,686,469,121,241,751,432,718,911,084,638,976,465,337,825,262,
046,470,681,744,647,508,876,270,855,554,907,345,195,286,472,496,196,402,228,
969,306,607,153,212,479,089,058,655,362,159,170,844,465,844,652,682,081,445,
476,209,676,650,346,392,671,153,432,754,944,739,066,297,829,409,441,561,470,
963,892,564,378,773,050,399,130,152,281,160,992,434,909,598,364,901,477,558,
281,925,892,549,252,287,836,214,617,537,110,327,984,046,929,132,170,656,497,
530,795,831,026,580,436,060,341,792,214,434,279,185,417,917,439,679,411,128,
306,096,443,738,947,717,390,072,169,624,314,873,495,439,476,733,622,109,604,
323,456,955,041,579,154,214,204,821,313,951,730,702,673,417,296,109,629,946,
094,097,847,525,702,340,817,587,525,242,981,655,167,305,812,657,428,282,961,
998,847,483,738,002,901,646,376,954,918,228,124,880,631,687,643,165,955,216,
513,771,865,844,089,024,492,592,649,256,067,760,165,991,316,635,613,965,710,
564,160,117,864,388,969,058,304,950,700,062,518,661,079,084,379,246,121,228,
563,225,964,163,331,870,337,531,699,339,274,104,290,572,503,489,205,996,569,
378,014,920,020,148,934,146,250,263,880,686,607,682,773,928,632,132,008,516,
294,672,230,035,549,043,239,772,489,119,205,668,380,322,674,412,162,372,418,
468,327,189,897,909,503,913,756,120,965,383,602,928,955,540,001,337,110,181,
603,542,109,043,352,754,966,500,498,555,165,844,212,044,743,976,602,918,501,
267,650,882,042,274,678,915,558,518,277,912,542,800,064,355,381,719,182,298,
383,780,974,209,527,562,534,705,363,810,670,045,303,809,793,144,839,820,649,
898,652,222,755,316,900,111,354,650,674,426,268,526,430,048,719,192,779,762,
756,767,182,490,181,892,131,672,606,049,404,732,913,895,782,984,183,339,808,
554,353,431,548,932,323,868,194,530,617,321,377,574,894,962,751,180,857,864,
437,520,683,906,952,484,098,958,224,905,690,429,942,254,828,829,022,979,628,
862,196,611,126,571,530,564,404,207,082,757,518,432,353,715,699,676,093,776,
526,179,459,334,384,584,344,126,908,707,468,951,378,713,830,495,383,070,372,
083,995,807,943,398,812,143,233,713,997,945,348,352,306,547,719,492,088,632,
677,565,685,284,443,921,030,013,393,467,497,227,750,741,448,090,914,971,634,
845,239,676,540,437,986,613,279,492,750,943,391,376,036,964,099,675,558,995,
043,920,149,148,422,633,308,172,116,073,013,245,648,962,487,266,769,170,735,
265,073,010,517,130,847,775,233,061,747,666,389,743,922,124,140,936,806,837,
472,442,760,350,084,439,150,133,692,213,354,971,326,285,071,045,207,521,216,
456,585,475,880,358,510,426,496,185,595,118,592,499,633,186,703,994,521,748,
251,342,058,569,753,706,575,687,179,821,168,747,007,973,454,446,461,963,126,
116,500,114,753,721,186,642,040,713,609,955,110,150,636,994,475,860,578,236,
339,514,788,096,383,159,438,167,720,266,209,390,496,970,595,742,603,613,894,
811,862,163,550,349,332,041,889,116,718,858,694,209,135,604,666,984,217,915,
643,871,820,143,115,524,903,654,924,424,469,882,863,521,215,274,748,673,158,
705,284,831,380,377,632,791,105,122,685,787,583,729,787,100,569,575,643,466,
164,938,117,456,064,450,956,964,707,049,323,253,808,307,943,736,538,534,706,
402,406,959,228,406,014,296,833,693,277,383,968,045,302,072,229,243,176,297,
957,702,381,829,999,927,575,524,067,429,333,314,847,098,877,150,891,591,264,
107,257,137,040,232,411,349,828,077,946,963,046,112,168,876,287,951,686,314,
859,996,832,262,537,519,977,221,563,324,319,103,752,946,352,334,669,491,559,
829,838,628,559,602,724,931,129,105,217,768,226,269,275,511,180,363,492,289,
807,848,778,620,788,479,626,444,857,289,704,471,122,857,319,948,456,860,372,
935,846,981,125,702,858,252,807,006,940,928,265,722,073,001,740,345,673,358,
372,360,210,660,588,436,954,524,042,234,175,542,571,842,007,678,049,568,585,
325,372,275,826,485,713,568,546,726,321,115,695,008,427,944,905,760,011,544,
763,507,100,915,599,774,630,035,110,727,261,161,468,291,435,263,020,972,082,
376,218,448,557,739,800,222,636,287,796,370,211,046,602,457,464,916,105,894,
891,444,039,833,301,414,777,639,074,644,558,374,871,668,628,723,250,456,944,
966,313,327,245,259,234,340,702,245,410,594,192,163,304,230,884,102,205,227,
015,535,814,709,391,122,223,297,938,480,892,203,888,706,004,731,475,802,010,
902,702,258,002,236,670,315,146,019,592,644,309,632,415,216,500,397,594,490,
288,696,440,822,389,792,559,283,723,096,276,246,344,034,650,815,749,817,723,
911,502,923,811,642,328,775,201,570,903,801,097,356,854,965,743,034,836,586,
656,806,503,865,928,577,712,462,846,328,975,408,334,822,229,466,055,963,145,
170,936,415,461,619,289,997,068,367,882,651,429,509,474,150,600,021,473,711,
491,912,760,310,004,985,241,282,718,037,409,083,453,770,667,095,910,223,613,
568,995,200,414,958,762,562,290,184,003,396,124,386,940,376,633,264,817,458,
361,582,562,511,099,680,443,934,070,721,657,406,458,412,126,137,207,953,776,
766,703,109,103,516,699,242,336,135,446,913,852,387,816,802,960,463,534,495,
706,716,238,179,527,845,099,208,441,497,730,075,376,352,159,833,956,425,840,
537,424,874,720,411,383,274,916,920,810,460,446,895,149,089,351,200,704,791,
089,024,282,339,233,587,170,580,190,043,817,978,082,679,487,760,381,252,867,
062,245,894,964,805,392,853,186,811,801,681,377,934,785,175,512,988,768,218,
412,484,215,158,614,127,468,941,466,493,144,466,469,252,175,472,940,792,957,
696,031,713,706,632,948,947,325,594,373,909,055,752,006,114,602,825,358,200,
386,334,652,473,852,499,616,016,957,050,408,356,079,151,614,718,905,241,190,
147,738,712,030,987,469,457,675,625,347,080,181,632,491,295,005,543,230,162,
957,603,697,128,532,618,298,879,022,380,738,545,931,942,561,569,994,752,230,
206,159,945,915,043,607,183,060,330,162,220,890,749,063,447,560,651,580,606,
370,310,337,060,596,042,538,753,629,293,554,530,714,302,388,259,020,817,902,
746,556,547,708,374,415,972,019,281,152,692,432,997,483,915,726,366,336,940,
056,296,136,954,649,477,945,910,748,626,520,150,836,232,009,236,322,854,910,
659,217,722,525,635,795,188,408,295,197,224,626,144,241,316,244,507,950,449,
298,021,888,534,041,287,816,416,537,503,574,643,534,373,878,729,066,371,419,
421,119,452,685,135,266,180,030,971,457,629,747,306,523,277,572,524,451,007,
355,801,781,971,915,381,477,800,921,165,935,613,349,177,743,689,295,238,415,
004,207,848,338,199,179,968,847,891,340,309,583,247,900,826,741,629,728,449,
920,799,761,409,584,690,407,151,898,262,069,399,264,950,446,801,354,711,187,
125,739,496,422,865,971,447,161,051,546,651,459,392,190,850,519,708,302,628,
106,133,852,123,360,630,540,560,675,618,017,692,324,058,570,917,656,546,925,
698,212,412,976,918,085,565,985,847,060,385,527,241,740,699,780,881,283,788,
175,947,147,308,440,212,916,755,353,810,822,411,680,566,090,327,771,699,100,
161,850,597,097,599,558,251,183,118,076,759,275,774,241,424,570,932,285,897,
197,508,955,376,964,361,366,877,761,422,769,875,241,901,441,121,628,015,351,
463,163,466,653,356,418,147,115,747,263,734,638,171,299,689,451,769,562,841,
506,160,519,272,767,977,944,665,843,619,234,220,778,808,407,081,245,408,373,
596,498,672,135,307,825,113,336,453,185,352,801,256,057,432,940,856,922,955,
649,591,804,542,781,016,108,788,467,492,543,267,844,046,583,521,927,290,333,
519,346,515,183,844,827,650,878,858,899,907,578,821,297,263,398,356,482,507,
748,790,198,514,322,733,034,836,211,925,568,197,409,967,275,385,328,374,493,
600,933,163,084,740,759,101,984,379,792,192,237,880,973,942,102,676,967,876,
296,189,870,264,458,449,921,282,636,528,125,620,380,675,176,775,198,467,488,
460,106,243,698,014,269,385,110,817,751,678,178,049,941,370,503,638,308,931,
995,718,968,383,518,852,494,130,644,889,522,175,442,235,587,652,243,652,081,
286,648,423,709,534,106,765,070,639,089,569,577,846,107,905,575,962,361,756,
561,686,571,221,823,445,606,586,255,463,571,719,740,589,455,962,007,448,891,
738,031,417,008,836,701,939,154,216,283,507,567,486,495,163,820,677,219,204,
587,594,538,432,052,867,532,457,434,905,435,815,751,617,200,980,016,776,547,
182,720,877,835,985,409,491,165,709,730,275,228,514,337,706,075,634,463,805,
312,455,737,028,102,882,269,911,027,847,396,130,614,297,982,172,414,980,473,
067,093,267,319,140,763,260,581,344,204,941,477,042,321,496,436,208,291,231,
410,808,692,525,343,723,348,998,895,303,544,138,271,721,093,874,952,621,999,
906,972,097,642,477,092,175,118,709,342,455,344,092,836,930,499,735,761,919,
114,880,602,010,383,353,142,578,738,062,712,043,000,443,850,669,812,036,154,
256,810,680,123,921,631,595,996,016,449,167,014,403,900,492,537,428,047,165,
944,012,717,773,598,557,865,187,862,019,356,873,636,108,715,119,108,558,392,
184,984,863,862,716,729,434,761,260,733,427,572,169,590,301,122,936,308,452,
463,658,072,576,841,297,169,661,937,732,096,557,991,188,182,643,919,177,164,
346,741,433,176,609,212,189,907,061,794,797,533,183,480,914,850,849,651,852,
557,540,200,792,802,288,500,436,328,511,078,634,349,932,023,058,269,821,704,
125,343,891,673,818,819,577,161,336,561,971,190,428,090,879,194,513,494,449,
107,654,304,540,289,908,908,348,031,957,791,353,414,725,175,131,827,237,905,
551,109,002,645,153,055,256,303,224,559,700,654,617,231,817,148,334,133,803,
302,164,218,520,487,819,316,081,652,563,480,838,672,767,594,886,289,058,617,
380,974,402,944,653,231,404,497,845,642,707,893,301,198,904,260,421,390,566,
693,292,522,312,833,029,647,259,630,664,020,595,472,661,565,697,170,936,286,
887,523,144,832,437,838,797,453,617,483,680,585,824,305,744,768,679,476,532,
460,870,590,496,007,756,089,832,238,320,383,333,931,624,993,093,317,204,398,
874,628,081,750,139,776,724,320,674,828,783,942,002,293,583,119,478,226,127,
739,186,935,363,010,067,673,488,511,475,301,317,465,328,910,119,925,039,936,
642,627,065,961,021,979,493,683,276,520,070,546,358,633,895,171,783,883,106,
439,113,499,932,334,329,073,027,874,118,788,448,881,251,269,522,356,788,286,
647,350,625,948,075,957,663,930,060,497,406,348,206,019,478,673,170,024,518,
245,700,313,353,571,407,637,054,708,447,030,503,844,408,768,129,798,136,801,
386,656,595,470,985,977,406,942,917,826,884,505,026,326,605,897,062,917,159,
449,581,187,142,128,806,151,851,507,276,732,567,438,173,591,863,256,206,464,
925,054,847,331,284,914,292,795,422,957,865,812,324,721,133,097,075,536,796,
788,900,810,580,078,943,875,784,644,330,824,573,931,793,424,893,542,704,931,
852,823,841,710,318,040,256,523,422,893,439,214,233,906,193,585,888,412,294,
739,019,573,792,289,860,090,074,619,630,818,162,072,264,846,490,854,166,124,
390,514,130,344,582,472,443,340,405,419,319,794,891,569,847,282,147,599,768,
705,278,410,793,785,952,190,219,176,196,936,476,562,270,324,814,622,070,377,
509,416,850,251,416,494,203,012,613,281,205,041,224,710,290,264,301,614,186,
733,496,727,483,243,461,512,574,599,762,949,830,513,654,755,403,793,505,299,
437,269,369,455,115,664,859,106,992,190,819,169,086,314,955,985,090,054,672,
854,173,760,721,787,600,173,838,146,347,464,939,068,627,155,771,207,037,931,
097,897,463,395,719,858,155,073,588,814,406,833,949,157,064,584,311,851,686,
909,319,406,295,516,891,235,419,792,740,112,785,508,747,741,964,693,440,925,
199,761,175,376,667,066,665,036,323,533,663,932,726,212,843,869,908,290,695,
552,263,031,102,257,682,722,181,893,988,973,286,083,324,455,194,363,523,654,
674,349,927,332,564,333,899,870,314,063,964,521,821,167,269,550,719,950,078,
844,556,791,986,371,448,432,102,828,228,769,305,001,869,323,203,790,391,698,
252,219,040,453,756,004,474,738,431,173,404,411,305,742,336,192,752,978,801,
042,265,518,476,156,894,670,836,536,441,145,854,173,348,842,911,302,320,874,
097,262,204,262,278,871,284,688,804,587,101,208,825,318,235,426,999,391,501,
554,870,016,172,119,076,043,349,045,390,670,364,640,143,011,304,452,839,623,
607,638,256,638,624,309,484,264,118,382,058,476,410,739,996,268,637,673,513,
508,064,265,282,105,516,862,422,325,112,115,478,648,138,518,504,210,934,457,
985,170,422,642,735,593,722,321,482,454,471,428,141,630,914,772,491,142,428,
591,861,098,928,610,886,696,250,984,101,745,790,140,658,013,165,553,856,642,
578,502,908,199,341,050,928,917,477,760,559,672,112,067,424,898,490,102,035,
775,442,668,291,926,977,963,616,081,227,796,526,059,234,363,300,650,260,868,
316,785,402,910,391,532,830,244,325,352,337,136,022,977,740,725,476,090,942,
388,525,664,637,501,977,841,608,327,328,657,999,963,828,423,427,567,491,548,
685,216,002,651,905,619,437,341,927,870,653,750,972,367,809,083,723,509,689,
385,426,838,062,975,535,752,099,976,654,950,954,374,897,552,231,436,805,472,
196,727,736,948,888,419,817,856,337,228,740,859,629,931,059,221,993,873,878,
178,381,965,395,017,541,972,012,445,937,127,753,239,380,353,826,323,477,332,
167,978,414,471,085,945,775,792,442,757,292,060,819,179,994,179,638,053,502,
303,337,356,934,877,044,285,790,156,139,482,363,701,502,351,344,623,248,734,
835,338,921,979,714,936,063,253,440,630,203,404,675,489,427,165,925,224,907,
485,423,336,799,586,513,184,521,092,305,443,911,021,357,848,263,060,143,757,
949,324,834,393,152,784,945,106,338,186,491,082,568,188,592,020,548,526,925,
687,817,857,469,054,532,001,329,223,041,532,006,561,381,377,574,083,714,634,
378,336,983,035,308,252,101,773,705,761,139,553,156,332,831,798,227,430,204,
731,051,118,207,444,269,306,303,358,180,774,483,722,838,884,616,375,423,508,
001,474,331,499,146,439,056,384,209,404,987,527,381,552,347,142,588,615,869,
338,080,917,576,104,497,256,328,043,450,972,253,903,325,356,326,869,542,207,
502,958,715,399,389,473,997,124,485,865,512,746,371,400,853,849,161,608,534,
591,998,074,594,245,337,134,180,364,635,207,674,692,822,987,062,148,706,590,
930,194,700,353,927,563,463,577,222,058,211,222,689,248,586,231,423,014,478,
699,719,870,972,118,094,673,784,042,468,426,401,841,809,291,285,958,654,877,
257,497,782,887,361,980,684,513,050,605,948,873,072,253,337,377,252,172,960,
709,700,465,789,566,915,535,140,637,590,537,432,980,310,948,231,357,056,232,
130,489,944,144,020,416,185,058,312,731,001,002,342,660,768,992,520,144,798,
024,057,602,285,046,241,063,647,052,346,405,647,993,909,848,401,831,090,499,
932,744,854,824,882,395,841,631,195,490,154,916,049,574,542,560,630,408,463,
217,704,917,852,865,130,890,319,963,147,581,945,625,911,862,102,103,178,562,
805,323,809,830,610,413,636,868,254,727,784,122,604,094,852,695,515,294,790,
327,180,317,883,324,117,141,638,085,936,532,675,439,408,582,386,638,097,386,
597,360,567,732,907,856,132,988,382,186,191,815,267,890,293,498,719,713,226,
550,480,807,457,396,758,231,571,386,026,686,336,289,377,413,028,421,581,666,
928,422,409,835,965,952,430,002,653,632,640,295,499,215,600,041,421,349,527,
365,126,461,863,862,109,494,955,703,508,637,493,533,616,433,057,505,790,804,
122,619,136,376,700,899,324,522,408,336,937,573,885,519,306,109,194,474,862,
802,787,131,327,030,561,765,051,487,029,548,096,549,277,504,513,427,132,638,
240,808,597,639,941,215,279,330,229,291,072,585,383,984,599,871,117,635,099,
437,725,050,095,455,450,572,365,809,834,561,661,184,305,961,618,447,390,786,
687,264,195,030,320,448,888,905,704,072,571,475,910,879,621,581,176,733,130,
982,174,178,284,842,433,567,072,908,867,651,543,269,182,864,562,374,316,321,
747,385,890,988,035,324,730,037,482,724,661,281,350,187,213,008,944,023,286,
616,015,477,821,690,608,718,337,534,704,516,432,497,450,796,023,821,977,619,
777,976,908,316,296,056,994,780,104,938,710,772,192,772,085,756,370,364,648,
349,480,249,417,946,855,181,454,919,692,105,523,491,374,291,160,566,616,620,
148,870,097,177,465,192,975,459,954,870,948,951,112,399,486,296,968,324,540,
686,157,916,065,464,949,027,917,137,067,148,286,609,454,804,434,743,957,378,
819,929,567,468,451,981,635,016,125,088,798,545,643,026,307,335,511,619,312,
946,580,862,351,037,620,483,769,658,150,786,664,407,523,718,770,185,330,551,
583,222,218,505,504,165,125,503,108,547,148,566,998,165,996,747,992,890,648,
260,807,192,042,166,790,752,835,773,383,268,509,375,937,427,361,043,413,880,
607,288,474,166,900,843,411,899,183,925,266,876,421,236,068,361,106,870,708,
896,186,713,611,150,822,563,753,967,570,665,676,694,231,182,631,216,815,418,
158,559,750,335,426,690,315,341,079,406,501,481,614,144,620,852,670,888,649,
678,262,107,310,618,233,800,106,732,138,292,866,594,927,541,337,119,961,054,
005,605,972,180,686,948,419,469,987,198,980,382,697,528,303,959,074,980,522,
251,341,531,352,432,203,235,033,765,266,264,520,395,806,030,480,794,732,119,
810,948,283,808,998,720,629,025,883,506,084,568,335,568,030,165,786,058,627,
524,011,394,502,859,003,494,799,956,280,722,490,840,226,302,827,042,566,004,
463,677,759,716,630,319,387,998,839,962,148,452,040,362,561,961,672,540,433,
490,598,287,025,715,704,257,774,763,399,886,377,539,378,949,538,627,822,702,
674,797,048,202,357,138,273,294,834,184,558,652,185,892,121,794,649,470,348,
148,822,790,831,275,771,960,884,913,330,115,093,427,909,322,053,028,515,091,
344,044,508,229,538,540,414,269,160,488,354,733,423,972,180,086,827,440,154,
851,983,064,444,842,646,407,338,996,838,998,965,144,711,221,241,931,934,571,
681,717,561,815,996,219,504,759,860,323,577,056,850,086,211,253,521,808,248,
134,410,087,943,090,435,488,599,839,200,480,066,120,518,250,377,695,964,255,
092,099,826,403,576,525,408,507,783,761,121,961,787,902,893,560,717,340,455,
004,957,458,465,027,341,809,843,324,462,044,386,022,650,495,288,501,087,011,
765,289,916,767,118,913,819,076,559,258,102,552,143,840,324,215,849,045,121,
348,327,268,834,957,586,358,100,254,328,266,394,227,248,208,586,840,320,024,
076,650,661,484,415,099,401,083,548,633,282,399,966,289,543,186,393,581,140,
826,156,919,641,910,701,593,077,685,357,887,350,493,422,169,817,837,959,667,
440,814,828,920,483,320,379,816,966,668,581,284,541,674,818,048,039,527,209,
691,947,392,089,315,911,155,743,840,701,110,455,440,628,053,421,487,714,735,
113,903,432,938,973,323,053,901,306,599,922,568,386,099,891,382,447,622,595,
463,418,404,401,768,225,854,812,083,397,012,517,313,460,436,212,570,138,444,
034,381,485,057,522,286,162,658,587,558,895,527,375,756,641,610,961,444,255,
019,746,492,833,072,823,047,838,019,168,189,601,452,166,215,911,206,514,113,
142,914,939,352,615,375,271,179,329,506,657,062,157,282,335,231,786,990,276,
751,503,738,097,873,975,491,570,414,232,353,586,590,629,866,921,574,961,226,
618,414,862,606,928,050,407,771,720,839,756,429,193,510,310,592,471,187,445,
081,165,397,264,948,907,140,092,920,040,018,225,213,594,256,398,890,781,919,
279,473,121,306,991,459,246,511,621,559,660,615,104,125,935,933,143,893,300,
819,994,724,534,659,196,919,781,945,223,570,878,796,936,857,677,910,576,125,
189,503,466,258,586,640,243,455,166,741,299,378,749,184,373,434,653,381,869,
992,271,509,630,580,175,387,512,081,231,635,544,140,956,583,316,659,893,960,
424,140,039,386,434,560,489,293,086,627,110,492,139,408,392,438,881,271,134,
655,016,485,758,822,863,178,732,725,342,385,418,641,870,078,036,666,107,148,
977,717,095,447,748,314,241,343,421,837,369,826,992,730,734,719,201,046,155,
588,943,321,276,566,834,835,788,709,965,596,229,113,750,420,352,823,283,637,
686,932,293,704,608,663,817,166,422,743,024,821,371,279,636,379,180,901,978,
001,012,359,141,857,883,522,680,587,658,504,560,392,072,819,796,037,578,547,
052,913,364,958,466,293,086,383,044,668,300,758,202,683,339,041,241,541,759,
712,787,108,626,990,684,556,249,141,610,247,962,929,184,273,418,856,723,984,
439,890,329,632,696,074,570,022,924,009,348,102,148,649,117,330,270,346,443,
614,399,839,810,776,006,201,772,188,512,554,996,650,822,975,086,145,998,703,
633,132,075,454,730,342,022,679,841,137,559,145,408,728,637,574,546,165,937,
202,112,412,969,673,574,385,704,379,541,391,608,781,449,923,828,470,880,549,
876,372,928,464,528,045,014,116,789,728,695,104,177,669,218,266,722,988,460,
493,970,302,146,869,274,266,149,239,841,083,961,075,788,942,932,129,997,619,
646,663,454,995,658,677,051,809,953,325,567,612,919,999,303,818,177,025,716,
930,251,081,994,483,565,842,962,633,806,866,372,815,708,294,236,124,940,282,
930,187,296,383,202,806,459,313,774,198,688,051,565,087,320,457,916,450,161,
546,965,470,595,134,275,080,792,436,287,710,725,904,263,647,959,156,802,049,
419,494,034,364,667,550,376,593,744,404,425,709,063,009,873,597,367,362,796,
175,342,584,324,322,311,845,223,457,785,791,596,757,766,664,905,929,219,723,
993,237,620,525,623,706,717,625,488,777,737,227,689,016,941,609,047,283,083,
877,658,320,319,158,871,656,998,638,424,437,189,701,172,368,126,086,610,561,
710,033,499,460,603,621,688,025,832,171,547,827,106,948,304,427,026,433,563,
240,953,639,349,020,040,143,059,805,175,796,486,850,644,026,390,192,625,434,
528,805,159,700,989,623,409,020,538,297,424,221,699,186,428,915,175,814,045,
967,346,419,218,644,389,179,698,033,027,150,387,250,500,300,521,296,984,441,
169,043,275,845,190,579,708,364,849,480,197,758,137,083,500,362,849,121,035,
938,066,432,835,857,627,739,260,911,615,070,085,449,662,883,991,213,147,013,
197,097,195,872,153,770,416,376,428,672,811,002,768,138,378,133,635,731,094,
685,363,982,031,623,280,526,757,284,295,103,123,788,180,576,229,978,617,251,
624,818,295,561,603,131,493,912,112,129,972,760,729,953,234,745,713,478,573,
032,190,143,711,137,006,318,747,121,370,392,231,401,965,563,302,203,377,625,
458,776,243,700,598,133,060,116,674,378,808,102,739,680,476,501,956,779,531,
650,907,396,384,216,667,541,563,765,681,396,868,354,046,679,729,819,700,845,
291,466,581,383,672,576,169,972,686,678,816,120,023,654,372,520,721,158,067,
147,196,925,578,637,776,671,796,787,853,110,465,301,121,089,369,276,140,564,
147,118,388,094,082,793,748,236,305,310,167,919,733,504,776,303,498,617,630,
027,936,709,342,368,337,664,664,116,623,409,580,579,017,880,250,829,199,019,
773,077,685,805,890,444,247,867,541,714,657,493,721,946,019,072,245,286,115,
339,339,152,866,521,537,803,060,785,355,598,820,722,538,438,238,309,527,732,
799,999,642,750,843,778,136,234,109,598,408,644,329,762,858,733,392,525,117,
609,119,375,714,459,623,092,665,674,954,568,244,515,456,142,030,892,155,963,
493,167,248,024,327,816,286,388,795,584,477,422,537,866,355,882,696,388,148,
114,578,731,195,401,913,034,028,399,269,435,903,380,710,137,475,028,416,524,
059,276,951,386,320,706,341,356,439,788,501,898,342,502,530,063,842,115,656,
786,931,384,362,683,408,793,529,403,280,480,148,855,391,227,131,091,276,230,
352,392,849,880,740,886,081,374,678,237,355,948,187,662,933,966,952,836,718,
312,706,546,005,872,458,157,390,549,256,043,566,279,837,639,208,171,936,946,
248,447,113,989,337,274,053,633,808,044,680,639,256,214,784,889,856,435,251,
871,624,382,597,344,361,355,672,498,714,417,103,098,350,868,951,817,329,298,
492,819,671,684,814,307,076,670,544,132,517,486,128,554,194,994,919,646,386,
180,491,173,755,310,871,621,726,548,714,398,362,912,886,391,650,273,060,344,
517,852,480,917,032,647,316,524,914,278,567,295,807,047,824,399,204,940,440,
203,296,422,849,608,896,790,253,189,376,599,153,888,426,998,474,222,097,380,
234,399,542,741,944,784,831,098,949,821,308,879,703,518,715,482,177,616,114,
160,697,067,525,246,453,354,687,471,706,419,656,274,498,997,476,682,912,071,
980,562,903,277,811,261,810,180,697,792,832,164,718,431,704,692,575,999,320,
253,953,572,584,980,974,076,251,327,386,165,901,392,844,916,819,033,963,766,
632,339,043,803,135,056,036,294,972,139,062,394,692,308,140,614,379,578,673,
123,707,049,587,152,650,168,848,249,291,087,666,502,811,597,321,485,647,732,
724,668,902,299,536,474,030,333,046,445,245,255,741,339,937,293,028,459,336,
047,127,013,835,514,913,326,155,622,162,650,445,246,923,419,970,052,291,577,
455,029,094,973,210,133,331,545,031,856,108,608,971,258,820,082,301,863,858,
250,199,343,900,548,264,068,008,869,960,563,350,595,337,991,219,208,944,765,
335,274,428,380,591,881,654,590,669,533,248,135,738,479,611,894,722,790,727,
728,770,935,508,171,054,556,309,470,592,500,495,140,157,070,117,574,353,795,
627,862,676,991,609,129,488,982,457,856,308,918,812,746,079,414,131,811,795,
442,362,942,877,712,596,288,870,062,799,464,594,670,752,106,134,386,383,019,
242,693,062,412,842,451,944,655,490,342,348,557,114,651,475,329,809,926,609,
336,135,129,295,195,248,761,575,376,418,774,294,339,887,669,481,679,826,272,
244,676,667,525,585,013,405,421,921,578,928,260,968,140,099,649,456,082,222,
573,361,454,761,610,587,281,065,683,726,057,105,516,287,769,179,065,418,252,
629,842,069,544,935,699,616,993,194,408,370,999,110,258,104,349,300,235,795,
993,296,391,199,259,873,104,046,260,730,556,589,043,967,957,374,503,334,974,
620,586,517,841,627,922,529,738,981,744,593,958,292,935,520,822,005,978,016,
988,635,568,764,657,205,186,153,815,116,352,293,665,404,217,424,128,559,311,
635,242,242,387,910,489,338,951,365,578,443,468,302,430,393,458,810,300,407,
332,318,983,634,079,677,953,209,595,960,923,028,736,629,178,634,924,737,053,
455,259,115,091,512,499,854,131,601,417,657,729,080,775,248,230,480,564,035,
441,067,808,876,714,119,368,980,908,385,053,049,627,715,059,120,502,900,493,
205,213,662,363,608,833,073,476,767,235,292,857,539,461,451,449,751,318,753,
337,024,877,637,610,142,421,137,355,886,705,997,185,678,129,338,412,044,551,
800,895,261,683,660,342,273,060,474,073,570,041,583,365,568,533,850,857,348,
187,218,683,751,095,962,099,445,191,087,613,456,163,996,234,052,008,608,323,
147,875,312,603,182,164,184,147,345,620,588,240,790,728,609,008,262,410,127,
567,702,981,255,883,837,962,521,596,029,082,698,287,266,220,262,634,581,051,
852,562,807,611,876,803,706,113,792,896,729,819,437,154,796,301,361,308,132,
396,199,932,569,752,074,226,690,116,728,676,366,934,229,510,271,716,776,281,
749,720,520,606,256,482,445,338,851,653,572,466,868,335,456,862,752,135,380,
046,349,276,759,533,372,576,888,236,813,867,941,436,161,025,857,624,571,786,
515,619,091,199,397,209,127,571,513,567,396,706,755,965,977,396,922,212,493,
324,435,402,048,584,580,431,332,956,085,181,038,439,485,545,161,227,783,599,
836,375,494,207,409,823,900,924,448,147,743,125,342,470,638,506,618,936,902,
774,448,600,365,420,674,688,221,873,135,021,886,778,271,579,142,411,235,436,
008,391,630,972,782,428,484,138,129,409,113,429,153,487,462,098,024,788,734,
402,741,123,674,685,423,551,237,770,266,705,258,357,774,112,681,835,134,893,
099,859,036,601,185,342,984,204,214,085,740,866,963,565,225,296,043,251,619,
250,588,230,863,677,466,479,029,338,220,297,562,631,632,128,730,500,443,751,
312,023,613,779,440,050,029,876,827,269,194,184,306,648,203,248,377,491,205,
384,196,238,570,954,716,317,716,826,924,231,550,075,221,759,109,016,252,655,
200,968,475,046,536,962,604,047,538,401,285,589,367,880,271,582,096,870,175,
900,899,631,443,033,279,996,398,888,456,148,220,420,030,280,151,641,312,967,
187,087,466,071,344,358,357,650,053,947,692,863,262,533,566,129,917,304,478,
127,627,441,255,064,247,531,012,647,150,347,321,505,363,357,615,720,174,703,
974,979,298,077,136,683,245,637,882,181,503,545,357,861,686,153,540,203,882,
456,168,584,771,133,436,598,915,573,666,407,412,294,452,418,617,172,471,173,
145,196,343,716,905,024,776,388,510,902,450,224,350,821,489,594,228,770,398,
050,468,416,910,371,114,959,077,806,248,285,514,447,317,224,059,533,750,347,
327,247,933,721,831,743,940,865,127,382,671,517,375,330,895,851,936,713,542,
047,487,582,094,998,150,334,498,865,289,139,931,236,148,189,870,653,069,535,
822,965,690,632,359,867,062,071,051,244,095,623,118,983,427,897,033,287,693,
455,169,642,867,404,264,018,719,161,818,321,798,426,120,822,382,261,826,343,
228,090,002,217,368,431,228,585,944,241,932,768,858,984,136,358,991,946,701,
652,599,173,455,212,662,919,080,455,149,299,653,279,653,451,138,548,213,261,
499,729,399,568,196,361,143,254,427,495,950,823,646,531,319,491,301,142,718,
653,004,455,681,452,230,894,308,739,019,015,679,626,853,182,821,754,720,400,
318,800,865,277,697,395,694,507,818,988,664,968,154,504,500,034,955,352,755,
938,019,106,832,308,928,005,833,588,503,849,783,017,370,986,977,213,723,678,
304,222,365,851,253,195,992,010,713,422,645,520,701,063,542,724,554,010,794,
677,045,546,166,971,670,724,768,218,537,362,432,270,087,797,734,052,446,286,
706,415,232,635,076,912,319,520,532,709,025,243,706,472,642,428,196,149,130,
546,325,841,550,858,973,903,179,839,943,912,135,428,409,943,429,531,634,745,
540,545,575,987,147,745,188,855,849,813,815,769,625,557,333,444,498,804,648,
169,361,451,196,979,911,346,528,077,204,670,260,829,586,893,225,968,648,487,
654,246,044,304,491,840,170,189,181,312,104,721,338,422,719,224,199,890,776,
980,421,560,845,600,500,639,495,410,934,348,890,734,818,919,550,550,014,522,
156,975,654,484,400,610,563,702,324,458,687,046,724,800,375,759,194,745,622,
573,208,958,785,818,247,003,251,197,177,499,716,852,573,596,373,112,251,477,
136,853,787,912,264,125,614,366,416,677,059,929,151,805,832,236,300,153,096,
327,956,115,860,937,906,119,751,802,780,224,607,433,128,144,916,919,912,642,
767,832,977,918,856,887,199,022,481,637,302,298,428,494,071,341,392,599,232,
057,999,421,009,914,199,506,029,346,998,915,012,850,687,875,782,974,603,063,
897,376,402,506,435,869,160,310,352,893,547,095,891,119,878,195,165,195,399,
178,528,630,526,210,019,870,706,630,688,529,880,067,797,650,307,437,427,136,
029,756,066,689,379,303,117,557,532,629,482,180,442,411,839,014,616,928,604,
272,108,656,868,096,714,181,935,753,536,825,510,439,852,315,705,242,959,115,
959,494,433,963,614,407,608,004,029,734,071,874,839,434,346,236,807,878,759,
252,181,463,899,293,466,956,724,070,998,896,503,005,952,838,580,453,311,983,
905,453,310,555,328,722,857,830,405,273,544,983,451,146,430,255,527,104,931,
008,354,176,248,755,706,149,918,236,019,662,897,909,811,345,914,147,604,097,
212,495,603,345,232,168,792,704,450,023,299,422,855,288,847,520,966,706,448,
960,103,001,488,096,558,100,992,047,595,665,998,422,895,390,963,825,613,986,
927,511,394,627,354,438,677,946,544,390,816,552,114,125,086,012,661,667,831,
606,179,411,318,552,503,438,069,900,838,697,646,788,089,709,065,002,899,579,
114,639,399,855,160,778,578,711,268,716,071,408,170,276,817,261,094,866,386,
018,947,143,201,676,079,803,968,034,081,954,183,927,802,187,835,481,002,431,
994,683,101,576,001,514,491,934,309,239,214,864,391,738,628,313,337,984,993,
258,970,736,049,283,410,549,698,561,536,162,386,880,714,380,165,399,766,676,
705,269,281,783,034,471,911,439,245,630,172,757,697,630,116,477,445,942,839,
850,498,177,194,975,094,453,456,962,135,416,444,716,036,233,046,488,987,608,
519,644,571,855,024,243,160,174,557,778,450,577,005,136,922,898,555,715,859,
734,315,106,807,409,191,286,666,959,628,154,712,205,047,471,525,525,765,328,
474,355,868,535,311,548,685,051,422,898,802,358,129,399,785,793,075,387,013,
237,313,939,841,007,323,883,138,417,264,083,892,502,662,422,294,311,742,438,
664,381,942,025,612,574,150,693,809,746,675,615,540,869,240,033,222,049,576,
064,704,153,366,930,966,949,113,991,492,792,183,419,154,051,010,039,808,421,
274,618,597,152,639,403,865,481,661,936,215,079,449,923,046,409,524,006,924,
465,849,467,889,440,130,392,087,804,372,619,835,838,492,623,004,785,329,055,
194,955,006,938,049,457,408,587,967,610,608,249,631,865,783,391,074,437,888,
469,269,113,992,237,443,815,949,592,578,455,698,198,779,291,277,684,439,285,
299,228,294,703,248,348,145,719,274,829,902,325,117,062,733,405,491,931,903,
740,993,504,403,506,307,904,919,023,986,171,015,772,659,494,269,135,854,095,
646,783,979,333,074,423,198,136,270,369,111,577,672,364,870,083,925,529,518,
452,697,730,373,797,214,316,287,607,134,952,500,388,731,491,593,525,548,636,
283,958,614,522,388,816,084,980,205,466,940,719,819,602,927,642,026,200,609,
236,868,577,697,964,966,459,221,846,212,778,366,349,537,389,423,150,823,109,
042,722,243,202,988,241,161,174,107,735,695,536,448,015,297,553,013,028,731,
462,639,277,918,068,891,061,991,109,958,183,938,941,088,131,431,188,227,856,
380,562,475,447,298,673,896,589,499,046,567,227,972,847,548,129,031,707,310,
873,472,001,503,639,333,192,538,904,982,320,811,761,910,825,586,454,188,898,
091,939,867,432,995,067,978,260,290,643,501,773,485,120,630,634,760,643,621,
792,684,403,648,746,464,063,945,082,547,705,153,903,458,647,535,370,110,002,
253,351,029,811,155,520,409,298,758,578,605,726,749,907,801,428,317,485,571,
887,479,696,821,216,521,017,397,224,588,718,117,637,152,606,390,182,795,456,
856,856,867,398,712,754,134,142,268,247,953,456,809,128,647,365,064,305,909,
336,336,500,366,710,574,209,171,548,375,392,888,302,512,993,859,450,147,193,
357,600,941,830,507,101,337,265,444,908,061,298,358,114,719,168,885,726,736,
767,265,613,570,553,255,944,074,902,365,796,443,216,857,327,371,372,963,295,
059,121,148,985,029,515,612,538,740,545,474,347,125,437,979,695,873,086,877,
140,158,202,486,580,031,119,885,410,028,411,687,592,690,641,493,372,538,111,
029,209,522,627,032,216,146,835,139,267,884,242,977,277,085,138,394,453,918,
774,433,916,119,177,694,264,711,610,816,255,456,862,987,013,294,719,841,818,
560,898,644,583,099,763,931,582,200,770,724,976,923,549,057,502,486,529,099,
852,045,098,672,918,535,107,218,676,274,099,644,063,647,111,089,148,085,407,
204,516,343,246,898,587,595,968,627,773,989,436,039,024,577,995,372,517,848,
680,254,071,082,101,186,027,250,523,896,573,389,174,623,091,834,478,192,706,
223,181,485,848,125,600,018,182,307,012,881,506,454,086,416,601,954,368,339,
682,427,710,978,439,930,707,688,795,535,370,250,933,753,856,292,259,053,997,
381,577,744,002,328,646,040,264,989,122,168,049,365,761,489,223,568,555,982,
101,764,694,786,467,249,222,407,883,863,480,298,843,902,575,861,071,485,898,
663,042,413,856,695,091,778,500,517,375,910,083,764,523,467,176,148,354,514,
564,576,362,814,580,387,396,495,354,924,183,874,700,854,404,189,884,157,428,
223,977,902,170,187,731,846,270,077,796,926,148,181,685,851,969,947,993,527,
842,489,004,188,799,237,963,603,192,729,014,330,922,963,323,499,104,342,963,
152,156,243,194,135,848,940,238,453,633,314,319,399,103,324,179,971,283,735,
830,354,637,361,483,715,349,370,057,254,989,768,135,185,018,643,758,771,042,
412,871,530,791,614,522,350,346,522,193,736,650,550,319,343,862,004,761,265,
653,178,953,545,146,177,959,967,016,260,218,744,826,928,930,919,263,184,899,
643,440,202,415,164,612,565,453,459,761,280,700,565,697,376,122,798,160,893,
196,235,327,492,469,325,153,980,160,759,349,999,639,643,283,121,239,374,300,
431,277,379,316,812,031,514,732,342,906,445,905,181,871,400,165,854,286,189,
469,950,438,896,296,444,102,169,156,178,664,997,154,948,553,933,102,089,554,
837,348,938,708,802,928,627,319,319,184,442,282,836,699,486,895,993,615,375,
475,067,382,373,980,710,318,327,914,963,062,739,632,259,703,781,163,965,539,
114,970,073,038,624,311,769,135,303,539,324,476,870,051,130,126,373,858,251,
797,044,462,765,715,817,513,089,124,826,627,106,907,105,550,846,036,914,882,
826,954,768,283,969,858,957,717,294,373,937,563,335,426,861,099,345,789,618,
837,051,491,453,203,216,242,965,740,243,054,023,583,605,821,211,181,222,039,
046,954,180,266,576,592,552,741,370,481,821,925,261,508,629,434,132,999,236,
255,819,099,168,224,166,620,818,038,486,220,761,570,446,819,231,475,906,154,
367,509,383,186,399,844,918,721,107,650,690,915,123,074,268,266,521,698,599,
477,361,434,543,086,588,356,227,269,238,378,489,178,739,454,282,460,424,216,
434,517,752,195,307,434,710,045,491,333,245,528,764,734,156,352,476,173,210,
433,659,695,483,838,325,918,091,229,156,909,730,980,909,957,588,097,495,314,
545,895,610,009,174,999,405,685,062,403,000,456,316,277,492,971,610,324,308,
351,445,072,584,961,189,998,950,305,452,057,957,520,686,683,618,846,081,045,
972,010,342,879,285,533,732,381,338,614,730,127,396,760,878,303,554,857,122,
343,303,418,818,082,859,789,706,137,807,505,948,572,431,142,090,171,005,373,
329,151,459,830,460,695,061,203,265,418,272,163,451,431,175,961,064,174,024,
844,300,294,681,761,549,404,046,541,164,321,496,832,157,417,783,952,916,030,
822,928,261,684,493,626,657,057,372,061,613,494,868,869,006,173,439,656,212,
439,904,601,627,395,881,303,567,807,528,593,697,563,089,456,569,405,655,892,
262,521,095,401,859,152,655,529,013,798,535,886,890,972,031,410,586,169,542,
100,195,426,563,237,365,923,784,556,013,554,710,404,841,729,901,397,512,569,
667,150,123,808,737,375,995,294,930,083,551,181,296,143,715,139,360,391,184,
921,377,717,965,946,689,833,363,056,087,358,131,375,703,986,269,598,950,433,
719,673,977,940,882,127,764,072,354,434,205,962,508,049,150,175,615,568,993,
062,794,138,277,327,615,963,912,008,167,972,133,132,835,411,529,533,423,317,
749,799,383,109,698,937,418,971,681,248,229,426,442,901,154,624,972,729,241,
035,504,415,463,139,931,828,594,525,870,401,654,801,511,737,808,236,495,330,
576,358,833,153,534,514,733,057,496,860,857,163,057,370,542,115,562,170,815,
008,391,132,617,984,494,005,829,345,922,163,558,600,438,877,034,331,521,531,
554,462,810,137,817,654,364,828,246,058,471,908,832,765,500,726,688,215,160,
227,807,239,068,945,210,955,705,011,535,327,968,965,589,939,466,875,581,714,
164,040,604,267,156,483,600,260,965,595,108,217,283,478,808,961,758,599,524,
270,081,631,156,004,876,052,738,054,004,392,383,330,242,905,053,996,949,467,
289,834,860,157,979,750,426,132,878,901,549,660,534,600,615,212,884,797,205,
226,364,160,128,752,987,901,620,873,595,987,495,247,746,441,050,049,929,293,
698,549,405,512,102,427,660,047,958,522,720,305,768,595,820,474,112,622,465,
814,304,776,689,768,081,505,499,461,650,805,584,997,605,503,223,814,792,625,
696,595,911,360,379,947,168,275,456,606,558,127,713,837,054,814,684,555,821,
483,419,209,028,467,755,507,470,818,033,820,425,070,487,000,599,240,932,077,
861,000,227,677,150,790,634,798,641,935,294,793,192,002,307,487,647,745,701,
904,076,899,001,177,031,383,138,752,983,945,410,157,619,633,396,099,792,678,
225,585,085,229,492,073,658,400,058,704,794,655,991,600,501,392,302,542,972,
820,046,192,181,654,004,864,049,061,009,075,006,547,218,977,092,816,534,043,
177,804,463,393,923,566,726,368,262,149,417,660,568,056,553,223,471,090,253,
875,476,841,316,258,434,439,710,590,108,166,834,692,284,174,500,858,701,830,
025,244,340,038,888,281,116,076,833,210,040,172,758,333,650,928,161,459,723,
961,809,140,641,185,243,876,338,368,768,841,460,496,524,451,689,010,256,342,
105,073,705,369,026,927,709,033,289,453,172,932,546,071,696,824,750,338,171,
365,768,508,825,384,682,787,288,758,652,467,360,559,556,493,215,975,787,818,
780,383,925,232,313,185,376,415,962,692,826,521,942,264,300,109,581,850,789,
360,835,398,177,303,519,356,217,291,910,014,802,198,654,906,219,900,311,406,
654,933,317,475,830,848,158,523,889,685,083,844,438,959,438,875,536,528,968,
123,666,096,331,743,265,604,326,639,799,450,755,697,859,004,990,576,809,683,
184,916,024,046,950,927,219,488,505,770,603,037,364,296,935,144,852,144,084,
777,438,459,130,722,610,576,843,581,776,398,047,550,283,447,507,661,315,024,
578,193,286,892,598,329,864,274,226,123,251,683,467,769,061,893,221,064,125,
589,749,985,271,469,956,244,261,465,165,195,591,115,606,861,364,169,868,233,
918,413,287,617,962,955,118,131,842,050,085,554,769,086,568,750,278,996,879,
522,290,449,636,765,741,662,292,609,681,949,657,211,964,559,815,841,205,913,
992,190,699,926,445,977,187,190,648,054,100,379,903,346,662,538,615,762,415,
296,751,686,962,298,084,032,429,664,181,036,530,496,264,548,124,210,195,680,
084,054,577,278,476,925,702,340,819,478,132,379,546,986,311,408,235,547,408,
684,960,987,006,574,562,054,620,825,078,608,204,918,982,670,634,338,733,923,
363,662,428,209,818,685,062,861,596,382,003,857,201,146,111,452,210,793,527,
593,804,802,008,735,455,399,786,672,259,137,430,895,980,973,958,940,283,720,
910,931,011,286,640,959,272,014,820,955,445,140,621,696,341,796,281,195,237,
593,429,174,536,212,402,653,014,340,766,319,495,539,906,506,482,775,234,356,
502,389,980,587,157,330,511,271,094,172,894,449,921,002,208,340,852,465,192,
260,405,662,529,111,759,970,688,395,584,043,971,090,006,352,112,665,456,666,
805,196,916,824,621,111,620,518,880,057,782,393,267,387,240,816,593,553,670,
792,603,281,006,505,645,870,740,738,931,824,598,508,714,148,180,480,275,888,
552,188,494,754,826,132,600,215,962,420,706,680,980,192,076,316,671,924,745,
989,946,145,179,336,862,703,269,979,377,683,015,117,734,851,501,612,376,419,
548,880,863,288,133,608,814,849,039,395,820,160,466,417,928,262,901,888,232,
647,077,041,067,892,584,488,573,253,771,029,504,682,957,237,526,102,269,161,
550,207,902,677,922,912,883,476,108,379,581,957,316,864,694,289,444,240,145,
945,650,228,257,756,432,822,999,945,904,106,668,527,922,309,182,034,255,181,
953,555,843,462,185,903,657,457,468,098,922,051,628,487,453,428,253,247,650,
271,361,740,048,531,180,393,598,960,084,464,673,145,391,435,489,296,121,801,
753,716,070,491,851,751,445,406,995,144,050,823,889,104,776,527,493,903,936,
168,893,765,510,833,020,158,300,861,952,277,037,790,818,983,294,558,610,378,
096,096,277,337,284,552,258,470,564,152,231,361,615,878,642,069,390,988,372,
138,516,600,814,759,596,687,291,033,806,652,815,218,493,634,354,695,071,324,
442,870,387,500,705,082,852,297,187,239,152,402,497,436,423,207,366,857,085,
839,687,850,418,277,303,589,738,189,389,274,455,497,250,238,485,594,741,309,
130,620,308,799,882,146,423,329,288,978,729,772,302,973,122,255,780,849,550,
531,142,590,780,086,470,178,941,996,440,775,639,412,154,420,378,350,520,260,
479,129,358,543,868,182,053,683,564,756,050,361,768,482,982,279,976,969,772,
070,985,912,335,800,773,130,610,978,566,428,560,071,404,131,064,109,925,227,
291,841,717,104,282,811,715,462,034,210,004,517,130,894,720,648,343,134,280,
119,955,654,267,911,004,353,775,691,461,508,177,641,278,618,361,778,853,854,
978,859,940,170,666,780,448,387,918,368,058,299,230,952,057,523,018,419,433,
162,240,156,814,670,411,064,112,898,732,888,424,878,058,343,573,084,643,929,
418,607,259,790,562,439,745,455,869,220,796,575,269,334,030,617,267,207,843,
570,919,765,086,332,832,403,926,250,625,963,111,013,482,171,693,882,496,367,
112,203,135,605,034,415,569,372,264,818,679,982,752,124,576,828,454,330,833,
042,019,185,001,064,519,428,251,953,663,940,796,965,558,388,763,201,428,121,
042,520,484,417,165,986,060,167,025,276,965,489,551,389,782,620,647,190,776,
008,495,224,573,175,501,032,180,575,899,510,500,014,893,341,563,922,932,392,
434,748,603,937,017,394,693,199,280,320,071,883,448,791,941,589,708,911,043,
837,695,067,092,859,678,182,797,632,968,665,813,403,713,115,588,697,952,837,
247,457,885,340,922,600,133,767,664,377,883,021,378,670,839,019,324,465,788,
821,786,271,766,606,741,695,029,562,038,780,442,274,412,007,503,267,075,145,
947,613,481,540,378,655,457,984,515,770,797,906,039,880,192,181,398,794,915,
459,820,007,810,291,274,419,599,888,318,419,292,781,527,203,037,884,864,553,
422,482,077,409,441,864,906,173,451,086,084,325,081,585,700,781,053,511,582,
181,497,379,523,401,555,008,124,798,771,899,107,199,933,942,117,631,661,523,
834,492,005,246,575,121,791,807,219,968,924,286,475,836,296,856,853,915,644,
343,522,840,661,784,906,511,376,185,695,915,101,684,706,187,065,826,543,204,
103,249,595,112,360,998,927,067,711,253,457,777,368,936,541,152,648,870,809,
084,807,349,362,353,944,903,993,094,534,638,249,409,561,497,134,509,829,173,
516,343,877,572,936,513,121,416,013,128,712,232,115,777,761,751,478,477,776,
635,921,161,043,389,734,457,835,022,014,864,341,458,963,764,582,640,610,835,
569,794,333,953,248,380,470,588,249,562,935,570,829,868,879,663,328,399,907,
549,956,919,352,637,499,249,832,615,930,599,574,447,989,398,999,358,065,504,
207,283,612,091,079,133,352,294,164,383,834,303,504,920,717,363,354,460,824,
773,718,610,200,911,789,679,304,911,263,509,482,844,101,577,589,018,495,277,
315,057,641,494,919,148,420,554,211,193,386,736,969,843,520,925,443,919,549,
592,966,430,226,069,632,793,489,887,736,606,738,163,749,966,181,369,264,912,
840,632,866,519,753,943,177,961,350,533,170,842,365,814,403,464,194,093,220,
839,132,241,459,332,327,820,688,805,096,159,365,688,612,577,548,335,992,165,
623,703,790,088,981,492,432,012,108,770,646,920,295,526,900,721,933,803,080,
985,262,086,297,464,492,566,698,092,108,755,524,139,124,261,651,848,798,061,
532,848,216,994,702,437,145,313,134,549,891,466,265,697,470,626,505,894,440,
141,016,656,156,885,249,049,030,409,452,089,456,737,458,740,690,739,611,400,
352,358,637,652,177,466,819,713,675,044,125,851,959,919,071,887,435,645,997,
040,871,932,129,122,088,796,930,575,648,803,229,436,648,332,368,780,421,308,
034,401,551,514,865,729,253,566,009,085,513,554,238,093,704,534,903,492,964,
440,740,975,530,756,333,635,364,746,727,278,530,154,302,474,276,738,316,748,
308,800,923,567,693,896,230,916,976,333,104,350,099,658,488,496,789,484,962,
637,361,215,070,800,634,035,396,233,942,856,792,326,710,221,084,680,681,546,
252,791,429,796,357,548,112,691,910,740,430,329,033,788,437,556,890,841,413,
816,640,043,284,229,252,971,166,985,012,115,471,233,891,329,131,670,269,823,
764,916,546,304,418,453,854,929,164,314,783,476,796,501,238,168,075,373,018,
721,608,499,110,875,282,901,888,046,167,144,630,565,311,784,442,039,952,810,
946,613,528,881,656,539,483,765,131,331,290,027,656,183,412,309,476,664,925,
249,513,684,284,881,095,280,205,340,043,514,429,564,478,633,514,418,184,877,
855,950,502,626,471,670,407,428,315,456,510,866,879,952,486,099,451,795,623,
660,254,896,872,070,546,134,631,911,382,361,408,231,604,605,071,512,121,466,
856,594,641,109,281,456,674,638,001,543,156,233,759,207,923,530,884,048,817,
321,528,742,341,447,799,801,036,811,658,813,015,241,027,456,781,648,751,435,
262,377,499,377,840,692,890,001,245,513,444,817,258,378,404,524,880,814,755,
439,873,841,710,852,212,479,099,608,708,979,814,342,657,592,959,156,458,020,
491,520,342,898,147,680,632,829,110,784,307,618,640,064,916,853,159,117,577,
436,940,140,192,271,579,324,947,107,098,300,539,767,037,464,606,261,851,637,
016,092,225,689,212,249,476,795,368,608,390,007,751,816,029,634,458,150,308,
003,518,617,242,548,398,133,278,877,588,281,364,324,872,496,126,463,597,736,
247,590,946,018,463,713,790,170,131,034,828,158,852,032,077,324,589,493,669,
994,653,720,354,044,154,103,945,092,880,784,162,368,628,567,588,888,128,866,
781,577,785,170,028,276,174,557,451,679,357,489,557,490,470,202,821,933,897,
236,967,904,158,771,271,293,860,035,331,786,933,691,090,701,302,289,837,246,
264,259,803,847,949,991,236,112,746,843,993,583,652,632,661,127,660,824,787,
754,149,605,499,111,250,684,625,415,513,071,790,698,275,036,306,028,182,386,
779,484,067,155,856,236,145,666,490,258,471,114,208,562,051,794,356,852,068,
536,028,917,096,422,498,896,209,875,780,925,827,655,840,359,979,928,798,476,
042,106,121,755,244,389,508,735,472,924,113,534,415,996,014,083,674,961,264,
508,301,488,826,542,632,837,278,059,571,019,552,868,470,641,065,282,606,039,
162,936,038,238,913,156,925,582,508,789,109,482,339,869,889,617,550,193,374,
359,176,827,112,430,342,591,087,324,467,608,967,785,682,342,833,476,083,350,
606,282,071,952,651,269,457,170,363,569,604,947,929,053,541,644,597,330,835,
908,965,767,276,882,927,599,445,482,636,157,454,169,603,820,793,544,006,492,
171,380,867,947,454,546,827,416,407,148,197,222,013,629,324,705,096,674,524,
476,768,117,628,929,988,905,461,417,686,785,630,668,584,711,979,674,014,323,
886,969,195,652,650,153,851,587,795,113,708,689,514,509,470,636,847,634,545,
930,976,326,677,294,507,527,348,747,832,186,195,511,932,792,048,595,019,803,
330,335,865,572,777,901,857,057,958,590,281,726,137,897,120,099,466,412,043,
448,235,854,624,401,457,634,242,314,106,632,750,470,771,262,984,435,091,896,
101,554,445,166,754,194,183,438,398,257,524,712,009,041,688,041,528,135,935,
593,725,510,812,167,479,901,812,202,825,804,395,485,519,034,452,292,190,737,
664,561,635,450,806,815,174,327,731,282,608,649,671,038,783,506,081,005,965,
367,625,536,381,751,310,769,188,287,668,770,831,209,358,847,621,978,006,241,
486,284,547,897,797,814,594,446,350,237,636,023,468,362,027,899,762,637,753,
742,913,200,232,777,232,065,129,595,394,884,696,243,301,767,574,668,081,198,
578,606,279,880,114,685,289,928,142,005,114,375,059,771,166,767,363,999,051,
921,489,834,782,665,394,953,594,859,564,491,671,596,475,957,068,761,420,297,
964,454,767,878,603,131,654,854,608,773,812,036,957,634,828,933,095,292,412,
228,179,318,338,019,303,703,843,988,452,823,780,457,835,611,792,310,527,489,
203,705,174,429,629,237,027,217,580,739,729,378,981,590,609,385,993,804,077,
622,286,834,696,851,489,399,156,589,527,023,840,084,779,944,045,105,650,436,
977,227,138,921,653,731,722,988,251,403,351,996,677,386,932,505,845,508,081,
205,471,615,913,729,284,629,304,658,055,107,662,377,490,073,714,717,991,063,
815,014,917,736,251,759,570,832,859,572,270,914,205,336,798,668,306,285,143,
729,529,772,343,861,572,771,436,581,083,505,294,728,411,314,352,895,523,062,
130,872,200,137,329,845,174,528,687,673,502,735,918,488,573,846,081,862,262,
000,585,701,108,813,490,429,562,307,730,774,433,473,922,916,281,470,448,194,
552,364,430,882,786,019,521,925,897,712,070,242,178,668,441,995,590,774,736,
237,062,588,708,069,020,203,317,516,105,071,484,026,908,103,036,815,025,938,
094,694,478,228,405,653,522,347,789,813,384,624,782,051,433,553,037,104,021,
491,770,227,040,670,321,660,615,684,446,524,413,675,749,794,424,603,709,088,
354,322,572,069,698,530,308,036,675,950,146,736,198,740,979,783,298,855,631,
017,219,852,101,153,644,313,186,392,254,494,162,394,991,297,650,486,405,425,
314,917,856,347,577,972,603,754,337,449,003,186,831,769,669,713,963,154,018,
842,107,066,015,024,692,736,730,550,253,159,382,148,667,843,676,086,543,582,
394,385,892,492,560,458,680,895,859,049,632,551,507,547,969,796,072,483,120,
324,249,280,252,519,584,770,189,922,586,113,855,320,235,745,223,710,098,608,
748,404,119,885,487,028,744,986,114,341,694,998,610,357,383,822,845,479,255,
272,435,502,231,059,614,649,947,590,222,616,720,911,958,903,097,292,032,354,
419,693,836,846,253,132,172,806,122,408,832,824,921,461,050,686,886,580,896,
805,959,225,647,323,982,668,875,655,664,031,651,283,625,378,855,265,707,649,
134,116,242,408,033,652,081,375,111,040,479,337,538,059,302,943,862,053,643,
030,492,577,403,308,471,599,963,272,725,806,813,739,262,884,554,709,521,797,
725,913,011,663,627,011,602,401,494,973,030,304,403,674,630,219,208,689,571,
982,440,340,374,029,980,405,464,181,020,586,279,411,872,773,353,421,961,525,
838,182,826,327,547,732,241,686,166,030,420,332,482,085,019,990,910,640,881,
078,867,073,962,004,220,475,884,141,673,155,584,587,687,545,593,439,287,561,
529,779,752,692,044,932,979,238,821,681,640,834,291,474,432,663,012,962,820,
125,241,828,548,748,778,724,792,703,241,263,509,091,719,134,656,664,762,553,
476,893,094,407,922,742,473,555,962,702,583,852,842,963,516,226,807,503,559,
553,310,431,527,255,608,760,087,889,402,467,661,082,319,133,891,526,705,072,
696,591,551,461,767,887,909,272,628,401,234,223,905,754,965,507,652,733,670,
294,713,235,157,592,596,164,824,210,259,788,650,193,709,602,909,724,389,765,
947,618,300,669,574,927,868,106,722,886,599,400,523,831,672,846,417,892,396,
229,037,257,029,065,073,231,510,497,147,230,691,064,583,943,058,200,473,692,
691,492,084,318,237,192,008,763,690,855,379,355,489,901,370,010,661,451,036,
715,291,904,898,623,895,582,922,683,199,507,585,332,086,486,992,643,965,707,
911,013,595,367,102,780,650,321,102,526,143,091,179,403,809,454,666,305,823,
161,818,222,443,901,080,339,491,171,355,715,057,464,218,509,023,695,066,306,
098,790,080,114,882,525,646,166,714,768,238,765,181,681,533,117,857,919,959,
527,716,326,373,847,836,856,266,582,417,940,926,143,135,002,987,282,432,589,
362,933,954,551,275,771,471,810,822,274,005,947,608,527,359,623,636,261,221,
539,534,324,458,368,684,563,085,445,410,011,534,691,434,309,563,069,984,675,
836,985,204,787,086,476,911,353,603,926,491,529,485,917,131,114,048,084,418,
820,557,154,494,378,643,841,237,890,451,344,549,351,724,963,251,430,969,919,
093,725,973,449,224,477,283,022,683,752,637,533,481,863,226,218,809,922,116,
063,384,755,843,237,187,755,362,735,833,760,098,855,228,077,806,793,635,222,
058,453,841,338,538,463,016,088,613,535,846,972,751,262,670,450,219,515,376,
902,929,147,055,119,213,574,810,860,259,490,308,917,995,211,578,477,768,631,
860,661,453,128,110,680,010,968,147,888,997,742,811,428,130,667,101,042,383,
797,064,386,737,753,216,756,314,646,243,898,461,469,000,290,304,742,118,792,
800,010,501,638,079,557,816,562,770,160,323,772,678,525,446,759,610,901,389,
640,627,139,714,411,433,520,076,706,503,859,958,497,928,363,395,665,063,007,
570,416,148,429,528,726,601,583,945,949,274,669,584,439,490,559,875,600,838,
061,101,312,472,491,018,991,893,529,116,796,108,537,479,466,103,193,986,091,
839,996,069,950,823,286,100,443,611,543,706,338,123,590,334,172,899,990,000,
447,646,638,925,318,429,918,372,150,722,363,781,532,693,875,217,642,804,719,
164,902,693,163,084,855,783,809,829,350,412,017,933,871,198,896,260,433,357,
750,719,496,237,118,746,345,802,221,235,540,000,842,239,637,982,832,912,788,
566,882,638,888,685,496,439,136,243,356,015,668,537,324,198,450,357,233,407,
522,456,139,120,436,660,524,601,919,042,082,664,891,139,914,537,313,791,878,
271,270,983,637,673,493,739,554,228,684,043,606,368,302,697,820,423,568,411,
296,237,745,545,799,188,608,846,979,349,562,887,290,801,951,253,567,924,690,
277,135,075,525,993,687,736,326,346,730,277,659,011,282,896,742,643,293,411,
478,639,042,034,945,593,918,165,085,582,398,233,235,754,898,446,640,110,067,
976,460,688,190,268,803,238,745,398,097,547,669,445,929,870,763,263,383,275,
437,925,311,176,185,887,596,844,499,776,795,762,516,505,652,533,786,278,612,
683,822,573,539,893,998,059,745,593,001,722,325,804,519,846,262,069,836,998,
224,261,513,738,459,789,369,101,214,366,071,155,784,774,535,174,378,385,360,
809,610,678,365,888,492,794,743,088,019,874,670,245,753,201,868,780,804,977,
772,608,806,440,206,321,092,164,076,291,307,368,898,535,311,335,749,227,347,
340,553,607,292,193,952,687,276,919,068,388,633,878,419,639,712,511,182,318,
795,551,258,329,808,012,990,527,362,193,883,025,508,152,470,792,528,696,239,
875,561,566,871,919,957,605,111,045,992,718,269,867,388,718,799,764,713,512,
441,531,509,942,392,256,504,668,934,727,950,699,326,001,304,268,027,869,986,
101,214,403,393,422,225,883,053,000,875,736,740,675,216,027,728,647,889,304,
911,644,014,254,622,364,650,254,797,614,684,889,135,572,320,998,203,638,290,
054,308,472,512,968,464,116,981,114,277,457,517,014,945,944,815,717,477,835,
333,573,511,112,791,569,106,146,578,090,291,129,364,092,714,008,559,626,310,
000,870,348,917,667,174,951,978,949,073,813,663,818,482,257,469,477,310,415,
452,867,558,641,154,788,038,909,096,727,428,884,918,879,069,002,305,447,555,
357,163,120,320,485,644,946,378,993,931,054,212,688,319,811,175,639,227,925,
032,156,422,045,870,082,648,960,022,411,035,327,693,129,731,176,203,833,775,
637,929,225,824,809,872,544,837,709,965,223,957,573,124,819,402,281,556,344,
491,530,511,668,449,565,824,195,618,766,873,345,259,332,811,900,886,560,674,
268,419,181,330,758,861,220,869,827,509,635,827,857,214,957,440,664,517,580,
845,578,593,875,109,459,345,111,500,692,707,359,018,740,141,756,611,156,860,
113,062,982,367,747,054,369,667,915,920,923,804,994,592,963,632,501,728,220,
047,739,912,396,101,636,938,403,020,252,846,139,486,728,581,943,336,843,923,
254,695,494,779,861,196,706,581,750,792,148,396,608,171,082,834,474,404,735,
036,521,293,366,038,603,931,350,665,259,578,600,910,523,994,565,933,957,103,
804,764,241,961,189,838,465,183,899,650,703,439,809,023,698,979,811,418,104,
164,739,088,618,658,825,463,533,648,764,713,316,120,546,698,127,934,655,795,
003,784,199,733,080,119,055,818,850,071,479,151,111,545,846,488,128,558,505,
350,943,821,725,270,871,536,516,098,232,916,094,465,246,702,566,990,683,748,
434,093,331,188,198,659,912,484,661,557,782,842,785,777,405,112,075,576,385,
644,271,245,725,662,760,829,857,033,868,414,476,832,302,697,616,808,226,616,
225,239,132,261,507,887,380,061,288,660,035,698,019,764,480,709,272,774,814,
211,152,308,323,191,639,605,312,888,349,509,705,693,790,766,086,449,919,355,
641,716,997,095,517,754,468,237,339,198,195,381,257,787,065,793,520,533,894,
732,495,111,082,301,707,219,195,893,549,243,194,267,243,381,016,232,360,237,
882,400,038,250,753,732,979,639,879,698,130,049,955,097,825,298,842,325,052,
816,368,384,510,424,053,882,785,017,499,081,888,852,900,436,912,839,921,502,
464,933,439,641,529,487,223,762,196,829,145,089,008,883,294,444,528,264,612,
816,683,274,752,657,508,716,281,865,496,717,924,056,710,616,936,934,274,518,
794,928,309,600,044,091,839,563,201,580,494,180,286,148,976,402,750,232,579,
479,496,276,135,079,370,386,711,598,867,754,336,183,211,621,301,606,055,098,
006,216,355,248,817,101,021,133,394,108,388,095,662,947,474,495,796,263,276,
921,190,284,196,911,813,944,561,315,193,775,627,596,608,791,121,701,750,061,
360,403,731,088,957,447,881,340,102,775,924,560,820,475,259,569,396,845,951,
927,581,078,492,564,006,184,902,142,266,838,981,566,028,470,381,129,180,617,
460,012,796,164,361,458,817,150,919,732,372,251,508,259,781,410,140,807,758,
941,075,254,568,385,454,500,023,863,141,234,342,694,195,488,064,494,425,614,
431,407,879,954,804,788,959,598,384,146,057,413,802,827,563,486,332,492,365,
905,528,023,231,223,293,478,681,937,813,271,695,500,787,610,119,677,256,617,
437,344,103,751,095,302,438,944,535,208,901,189,465,180,665,040,816,537,225,
158,200,906,380,426,729,448,357,289,529,580,025,837,140,272,042,913,235,007,
780,881,005,980,318,169,421,165,503,382,762,431,767,882,983,679,788,111,619,
499,336,366,859,265,942,907,135,510,633,832,687,728,437,026,563,569,401,608,
229,695,919,606,217,570,957,816,944,304,103,010,536,351,502,568,632,698,836,
564,619,139,920,781,468,178,280,318,662,494,072,970,473,218,291,920,749,075,
948,553,173,442,192,392,227,605,160,771,020,584,457,213,601,905,482,511,603,
725,745,414,904,599,613,621,346,567,211,456,240,768,572,173,881,646,372,259,
844,835,442,826,599,169,296,796,943,782,063,248,918,798,317,352,274,187,623,
682,464,899,791,437,599,549,172,826,701,283,964,894,492,818,923,126,715,952,
413,617,212,840,090,987,054,943,027,455,885,559,035,006,261,611,855,986,544,
806,781,122,852,926,022,340,268,776,980,916,860,819,378,387,975,019,890,270,
725,564,772,823,578,555,159,488,128,120,684,609,617,443,412,123,551,260,730,
796,726,817,178,904,586,848,789,069,743,162,353,074,889,244,589,878,315,404,
294,369,139,789,811,868,079,880,036,496,654,156,598,069,758,001,415,143,984,
658,367,284,697,784,171,730,070,872,721,583,542,440,073,296,385,598,022,995,
914,157,646,890,886,294,308,664,076,691,405,351,481,588,522,418,517,828,616,
585,093,842,022,229,735,908,075,137,574,719,246,682,967,443,412,620,673,697,
017,118,077,981,109,440,170,516,991,770,549,782,486,911,133,817,308,633,893,
883,312,739,559,044,086,335,121,453,521,631,971,180,509,885,962,911,702,894,
716,613,496,590,794,814,320,419,917,102,672,101,184,430,599,417,028,354,312,
856,760,183,359,369,927,060,547,304,533,698,548,257,474,589,778,147,529,829,
684,525,992,379,024,004,014,651,354,734,390,014,932,185,239,561,646,179,049,
799,357,395,606,499,272,065,362,634,588,181,050,731,972,664,584,650,402,100,
116,253,635,319,818,722,047,448,562,908,200,374,335,013,006,563,392,909,575,
199,152,988,572,802,203,346,256,715,517,759,632,733,076,875,854,159,320,080,
843,499,438,661,439,202,640,762,748,079,077,668,505,974,510,222,194,715,047,
715,202,232,448,304,474,350,728,789,874,092,891,568,611,135,268,688,204,049,
148,360,746,617,692,948,159,458,946,873,919,491,441,179,498,942,588,048,183,
377,696,478,288,876,675,076,223,693,485,173,206,671,916,905,451,058,778,222,
942,992,480,509,803,551,593,623,807,818,044,520,769,828,970,434,462,872,436,
467,718,393,662,482,961,238,170,752,559,598,796,303,441,525,595,193,401,055,
714,050,684,485,294,227,441,812,902,286,949,214,739,421,054,280,564,176,280,
803,174,468,511,904,136,534,477,344,856,263,990,181,177,620,208,625,306,688,
397,639,497,994,934,827,757,180,617,450,981,702,957,976,730,460,222,520,468,
835,039,250,251,422,915,268,265,350,350,495,067,059,344,029,401,086,076,213,
082,545,190,711,578,021,314,659,437,494,745,403,165,428,847,140,023,676,611,
074,294,609,947,198,292,518,189,183,569,275,344,011,856,815,430,290,947,131,
563,826,611,093,310,305,104,811,433,124,180,040,148,141,027,941,959,344,892,
878,614,343,483,834,078,609,225,927,159,837,233,672,669,835,583,191,177,528,
411,557,659,828,029,370,659,908,352,088,408,690,839,062,458,950,155,078,833,
634,434,060,931,772,539,605,731,107,268,318,102,723,124,282,113,870,301,667,
655,301,691,828,876,660,434,766,671,740,446,972,059,364,076,515,396,141,943,
397,045,757,056,729,299,960,212,120,273,915,462,654,057,567,606,772,944,966,
546,294,973,731,360,200,040,526,662,816,187,539,197,152,257,528,357,129,658,
402,799,383,635,412,552,436,213,137,748,376,794,525,272,177,959,781,807,823,
483,934,540,412,511,634,897,880,043,990,965,664,983,517,617,144,887,385,057,
956,447,365,810,891,873,460,858,909,058,964,628,254,036,060,195,413,736,129,
640,449,971,252,518,136,712,371,852,331,344,429,805,822,261,144,802,930,087,
495,727,888,329,969,751,670,517,292,826,473,113,828,079,280,862,252,552,416,
254,859,695,598,893,134,701,542,448,985,754,422,828,628,891,126,935,342,332,
992,522,949,253,492,788,468,554,591,908,807,508,107,274,265,744,702,341,731,
845,751,310,285,300,595,344,226,134,174,565,326,232,373,965,895,740,091,587,
161,478,994,098,755,196,746,412,891,302,230,521,516,499,422,681,512,492,076,
966,505,614,859,368,393,569,179,182,577,138,388,752,748,210,650,039,459,959,
537,668,982,627,268,010,938,956,679,060,560,008,024,606,857,074,821,066,108,
199,741,772,889,217,616,849,833,359,135,720,656,747,740,866,823,026,423,863,
780,401,494,325,622,036,883,241,209,906,133,574,962,590,870,670,217,932,799,
837,787,250,610,472,510,219,507,486,406,474,932,021,574,673,530,399,409,996,
018,327,534,299,934,695,094,354,159,117,565,034,249,707,140,721,076,663,753,
145,030,262,907,579,213,813,585,556,206,590,059,785,877,508,244,980,874,867,
802,849,622,782,123,770,591,309,198,214,217,004,132,602,756,456,016,363,816,
963,653,917,151,135,096,455,646,003,113,034,910,322,256,706,039,638,695,891,
054,585,716,553,842,484,270,285,120,572,606,819,578,822,412,388,071,183,168,
218,002,399,945,865,582,685,531,257,925,102,727,409,978,297,155,247,678,170,
842,385,578,287,401,880,874,807,258,112,989,875,766,286,664,962,758,315,031,
194,432,746,682,306,529,880,136,059,680,724,072,121,718,059,700,208,069,102,
767,067,332,128,391,094,978,149,550,378,088,938,473,894,342,343,182,137,977,
505,385,768,598,821,101,135,727,211,913,896,983,600,956,169,597,958,403,394,
165,185,896,648,590,933,572,990,135,492,813,261,169,278,320,126,913,484,655,
283,410,366,710,872,795,754,695,065,841,279,558,946,575,767,384,576,412,899,
435,411,052,627,604,522,378,026,353,567,348,014,441,299,946,517,998,661,041,
476,380,158,682,891,325,628,007,124,567,622,535,283,740,391,739,851,190,642,
950,236,994,857,878,246,311,963,216,579,903,941,449,483,012,412,928,916,008,
810,853,252,270,677,921,660,215,485,660,608,966,730,028,937,726,779,724,385,
147,402,956,654,467,824,528,395,493,589,419,736,850,075,766,354,315,922,053,
144,941,190,673,701,954,921,607,520,019,017,028,342,852,214,079,194,422,349,
781,115,122,784,976,194,825,959,682,441,064,349,379,109,749,910,845,301,636,
281,791,535,267,242,818,542,735,174,572,247,049,374,750,351,012,353,612,073,
060,032,937,811,468,075,928,339,223,500,243,203,751,886,246,415,855,517,865,
402,425,551,477,270,439,030,103,369,290,978,231,045,914,242,668,303,109,478,
514,900,410,780,643,795,559,371,140,870,309,674,848,777,594,057,905,121,853,
747,554,040,133,772,857,790,716,462,623,945,580,401,709,433,954,477,937,292,
303,123,438,490,484,158,936,662,846,722,024,947,330,192,292,344,354,680,934,
100,596,243,883,138,446,877,677,822,483,042,393,968,727,687,914,352,770,257,
697,157,337,210,236,537,386,507,009,061,358,803,753,471,794,710,509,871,780,
484,593,872,438,767,831,525,402,990,122,450,366,852,422,841,471,763,557,385,
252,595,043,344,136,161,645,746,177,560,640,257,627,120,238,056,253,969,048,
897,388,526,090,560,725,042,734,959,444,087,846,494,571,828,864,670,922,607,
970,557,280,364,816,366,027,639,639,895,095,697,592,503,639,459,488,260,248,
887,580,682,485,393,229,084,316,675,786,018,257,756,472,906,896,401,162,587,
688,625,749,018,668,017,871,218,452,636,346,777,035,829,710,732,520,688,924,
193,773,014,403,779,067,260,901,896,762,222,229,383,697,711,519,818,939,636,
951,549,972,145,574,303,899,724,921,794,460,305,848,362,141,978,573,436,383,
234,081,964,004,549,898,314,941,436,728,472,518,509,410,907,621,624,095,050,
912,042,365,249,298,582,049,397,430,761,125,451,776,212,381,589,336,173,796,
945,950,623,128,900,851,427,662,821,390,007,044,466,738,233,952,204,868,576,
380,353,539,225,217,253,869,149,489,638,387,703,049,282,759,378,375,684,845,
588,460,916,524,268,812,096,080,456,011,179,685,544,951,509,869,665,328,763,
180,007,667,099,377,037,569,841,844,811,271,360,560,118,988,375,092,522,549,
844,878,762,092,533,971,710,186,804,745,948,727,378,383,929,463,222,567,608,
802,962,167,631,342,493,605,894,136,854,861,714,471,582,379,977,823,823,793,
491,494,640,613,805,110,410,789,321,077,921,814,571,618,396,757,702,734,881,
655,153,567,035,551,916,808,171,938,243,558,666,604,922,612,619,219,857,874,
929,669,316,832,329,816,398,604,569,708,545,972,854,641,477,733,629,636,712,
651,718,787,487,855,282,370,510,636,807,510,670,001,897,925,736,979,535,861,
635,358,468,044,563,583,177,873,090,201,067,210,731,560,834,450,167,462,615,
590,038,757,029,088,436,055,136,545,354,877,584,945,050,523,942,494,354,302,
301,122,014,012,221,554,542,626,512,267,882,401,365,368,581,768,612,886,992,
394,419,688,379,860,207,982,876,354,644,008,172,213,529,953,806,880,527,467,
268,422,508,462,919,433,743,592,663,059,107,221,895,412,580,905,370,127,936,
573,098,402,192,211,044,665,794,618,460,476,955,023,512,607,489,043,677,272,
038,039,690,742,203,042,270,345,169,836,716,282,163,888,647,442,457,601,989,
247,869,719,754,707,679,685,907,591,328,443,142,090,102,158,468,445,655,777,
489,692,448,181,820,092,969,492,894,755,150,780,805,212,174,709,066,637,986,
957,166,737,747,035,705,059,450,470,250,641,941,867,674,802,023,375,644,767,
321,709,893,662,742,777,244,003,910,913,396,751,234,275,839,895,418,655,679,
991,483,310,568,577,800,003,937,505,427,347,061,662,829,241,345,565,077,823,
161,167,139,924,202,852,656,683,696,822,445,825,819,857,671,680,957,990,713,
393,397,690,423,653,247,338,023,364,625,076,192,884,090,407,164,596,103,655,
166,222,353,884,115,718,408,628,960,438,288,464,022,203,983,188,380,872,336,
924,524,877,987,819,705,743,523,464,679,658,552,837,196,580,184,990,877,795,
460,130,132,280,244,745,298,438,412,949,875,510,797,892,784,359,214,912,543,
787,744,434,731,496,151,915,893,465,002,331,376,876,102,359,813,855,847,638,
915,291,732,804,061,593,628,856,712,889,193,672,844,738,739,890,401,400,878,
750,520,133,871,068,462,642,243,616,804,429,299,105,315,028,616,924,057,947,
376,551,940,566,304,036,351,604,285,785,055,071,572,714,299,275,664,838,677,
927,514,697,761,817,747,348,509,594,311,788,344,753,782,659,829,022,999,932,
208,099,175,936,152,644,592,307,652,187,133,065,582,523,744,192,527,693,791,
388,885,814,991,257,109,999,989,479,607,630,066,664,420,099,026,455,278,671,
654,443,571,078,459,689,548,723,520,055,031,112,805,095,488,342,102,413,071,
603,127,383,456,906,842,508,350,015,094,188,122,758,486,027,294,048,690,501,
142,599,873,439,688,109,318,356,453,683,932,109,432,671,384,398,286,105,765,
277,580,737,061,441,639,113,687,223,727,977,551,085,104,800,911,424,080,008,
123,939,660,700,088,168,262,119,436,523,550,836,236,553,235,362,832,637,242,
214,947,484,805,943,709,247,911,025,687,283,671,563,622,732,252,137,002,426,
569,244,499,307,292,860,099,915,275,741,277,860,017,527,997,617,068,573,417,
721,016,117,007,898,189,284,517,470,392,852,554,862,629,767,456,013,644,424,
370,401,935,165,493,097,794,713,041,902,946,501,048,617,726,054,487,676,363,
036,623,013,385,367,909,166,054,527,622,560,642,527,565,217,554,082,960,245,
925,106,638,113,528,547,392,436,445,571,845,991,614,667,275,561,354,218,443,
772,093,950,410,392,381,109,738,487,485,324,131,896,698,457,759,911,595,065,
193,186,709,373,614,992,313,288,268,996,444,849,133,267,766,728,187,305,963,
105,487,276,728,364,220,391,840,076,480,256,323,606,097,323,505,473,081,930,
384,885,204,907,590,432,940,390,296,672,655,761,888,100,272,095,555,267,414,
077,216,210,990,862,151,421,817,850,206,544,674,733,803,521,887,077,135,604,
704,161,956,354,722,906,775,395,114,817,119,981,172,644,787,487,555,140,787,
241,799,774,440,498,022,962,338,603,685,499,673,898,937,257,529,354,226,620,
663,088,601,608,092,075,167,692,052,730,461,741,715,571,671,652,213,701,031,
781,892,754,595,076,503,919,371,876,310,940,788,335,388,615,509,774,945,327,
613,082,592,237,575,546,246,231,439,481,682,610,628,396,587,534,893,324,634,
142,516,937,088,979,407,842,019,657,635,193,813,213,309,750,098,720,154,987,
547,446,425,881,071,321,073,147,320,738,844,242,729,782,206,336,200,186,382,
182,056,925,933,414,099,701,795,144,701,626,880,322,302,792,961,834,400,924,
725,202,612,582,638,543,763,258,765,650,212,886,056,489,924,524,792,355,326,
898,237,452,342,720,606,073,519,055,975,933,534,259,903,174,877,545,051,646,
272,587,555,223,777,704,069,008,753,823,267,042,845,439,629,692,479,047,568,
008,084,558,099,325,074,611,758,137,213,489,004,770,996,509,112,688,902,464,
161,046,093,050,127,684,518,849,562,737,627,375,240,565,109,836,601,311,603,
646,345,450,445,748,536,333,439,323,383,688,391,428,913,843,193,068,481,666,
188,953,502,209,411,810,357,583,577,651,335,898,841,392,579,171,350,093,064,
448,072,208,823,168,680,538,134,731,978,602,920,856,294,383,715,396,157,316,
183,107,105,434,313,161,865,382,342,736,773,753,371,999,607,229,139,381,667,
305,627,836,671,712,168,521,103,288,894,265,500,747,416,171,708,534,630,092,
241,969,217,371,777,821,392,055,916,568,883,546,497,596,440,239,311,098,175,
946,905,438,142,546,275,787,101,672,431,111,177,502,063,666,283,107,421,487,
517,333,874,073,468,237,815,899,904,191,838,368,898,989,549,888,997,054,009,
724,567,265,689,932,006,993,389,106,064,799,674,880,221,902,575,547,276,842,
120,972,721,052,134,010,881,002,668,345,847,654,351,746,847,614,997,172,481,
117,488,780,064,630,099,414,682,183,410,156,641,223,210,031,553,771,573,511,
966,616,212,899,897,828,755,163,349,695,449,867,692,938,330,300,622,023,481,
658,090,559,483,435,684,865,152,833,109,702,765,277,831,984,479,698,387,161,
418,495,699,231,676,529,320,275,057,849,190,405,790,316,309,322,282,144,878,
576,788,401,242,088,395,324,950,806,535,752,308,060,177,598,473,648,040,639,
377,480,605,271,190,071,203,314,146,840,586,541,336,844,705,478,221,800,789,
889,726,055,583,274,400,995,542,475,143,727,883,507,377,760,395,487,799,127,
917,621,271,767,299,482,098,597,518,699,437,887,457,679,445,885,722,648,970,
677,664,402,334,445,957,370,182,054,347,954,977,069,704,314,992,972,334,352,
322,899,799,358,748,956,379,251,844,211,508,381,881,729,914,770,547,758,998,
281,853,904,286,333,279,358,154,545,480,401,345,156,843,408,617,343,075,706,
176,828,509,323,283,746,219,977,844,914,480,465,878,636,004,226,630,126,636,
707,754,010,271,348,197,901,176,734,188,251,020,283,899,359,227,971,219,297,
810,680,563,917,318,809,450,796,898,346,727,247,606,266,602,771,313,340,541,
876,865,688,221,732,645,509,193,674,006,133,847,878,135,585,288,383,129,586,
359,446,252,686,094,433,810,488,352,176,739,736,396,935,547,270,540,809,428,
663,026,361,933,456,563,415,606,191,182,053,590,891,875,630,195,938,128,275,
932,500,402,435,583,589,064,439,316,925,974,536,116,772,779,486,835,739,270,
181,338,846,596,389,656,633,901,223,440,273,106,734,457,975,943,285,226,924,
253,793,203,491,464,302,779,419,427,784,051,862,253,893,334,678,852,028,049,
203,440,008,016,908,714,889,145,580,014,593,183,657,423,188,376,661,715,063,
705,652,031,721,146,059,794,942,719,645,924,903,904,211,276,469,203,150,022,
165,425,478,132,864,652,420,642,339,178,193,329,944,655,675,955,020,966,175,
444,280,787,596,046,127,277,085,110,593,334,812,662,554,637,714,818,580,386,
999,660,658,985,556,236,136,902,711,005,897,397,132,996,613,430,213,394,713,
372,607,566,432,502,649,763,222,773,429,247,763,406,971,571,872,200,017,012,
002,074,521,224,146,456,860,018,405,031,590,850,515,930,503,389,166,540,140,
480,591,921,044,224,194,067,817,118,308,629,708,203,516,156,276,203,322,926,
327,183,230,632,680,907,705,594,865,604,799,308,279,013,481,647,531,323,308,
122,754,258,221,626,763,504,441,280,439,501,793,917,346,852,499,898,823,052,
679,316,340,297,467,761,717,945,272,767,026,408,469,631,188,988,600,287,419,
000,670,328,953,080,984,430,769,199,824,488,528,824,938,008,858,421,052,252,
330,594,779,014,286,396,357,975,587,989,154,566,222,506,379,621,555,566,777,
434,228,355,289,426,419,561,765,284,841,984,595,427,918,052,212,703,918,289,
711,765,476,852,487,097,246,253,136,438,401,342,234,157,004,498,774,120,852,
273,811,664,991,923,356,250,749,379,137,980,083,033,854,562,902,983,463,410,
355,317,092,520,400,262,498,975,493,441,766,284,160,546,659,873,959,417,138,
438,748,107,295,123,553,071,657,482,907,851,591,945,865,820,081,060,420,397,
668,327,386,664,758,056,976,275,953,245,261,999,976,575,600,271,468,318,256,
289,802,246,277,724,904,460,887,219,292,351,167,928,676,669,605,543,060,872,
503,063,839,710,482,185,470,287,120,067,338,785,243,496,680,789,382,022,788,
622,360,699,892,823,397,751,563,442,636,512,980,991,503,106,523,855,910,085,
068,162,828,523,218,373,690,883,802,956,053,562,990,602,043,134,821,325,871,
957,723,741,843,643,773,595,085,611,035,504,846,978,090,613,431,597,681,323,
323,634,182,481,226,223,638,650,027,940,090,829,556,009,308,429,488,401,708,
278,362,005,716,005,960,131,715,448,713,109,591,027,674,475,984,678,353,473,
452,483,301,172,860,824,182,710,624,743,514,800,693,364,436,417,153,517,640,
381,056,544,432,554,453,251,596,419,891,477,651,369,833,398,215,663,220,320,
220,318,186,737,667,885,147,657,366,072,800,899,655,446,497,011,745,589,962,
301,705,790,804,414,464,184,784,003,978,756,965,085,037,939,383,153,751,203,
600,921,846,027,312,889,370,371,430,281,923,279,207,875,608,482,900,157,795,
739,715,423,045,486,342,642,203,670,677,652,997,033,320,146,441,400,373,140,
339,153,693,672,345,062,250,969,777,336,131,064,137,609,519,926,704,117,078,
970,798,426,762,004,244,074,541,272,579,809,508,092,539,940,207,981,582,446,
539,804,146,134,952,047,324,388,969,041,593,614,763,163,896,267,061,028,518,
358,413,131,104,601,011,967,707,790,943,730,119,651,386,487,796,809,891,834,
279,741,600,901,444,946,008,987,573,878,446,769,566,739,479,881,455,108,982,
006,950,042,672,714,762,607,567,290,478,066,306,804,466,930,023,143,745,192,
453,196,819,900,656,204,150,610,605,537,452,106,437,732,872,109,933,012,974,
919,826,343,504,351,550,115,466,463,046,596,830,513,445,814,600,606,684,177,
032,226,362,299,422,091,425,825,116,774,379,217,347,490,054,409,385,513,578,
300,162,602,471,130,470,130,839,413,489,116,991,445,084,469,427,059,264,470,
309,134,837,376,404,661,591,483,998,480,208,621,237,009,609,608,057,332,975,
095,220,178,936,505,890,275,586,329,256,963,576,216,837,648,408,301,956,269,
594,222,834,285,517,996,346,486,820,792,781,109,934,076,627,986,591,831,965,
572,801,505,031,526,492,469,508,737,306,251,939,658,872,215,970,413,274,438,
122,027,754,962,421,513,891,714,902,906,592,994,848,002,047,586,055,765,247,
518,867,103,996,166,612,933,931,890,241,663,031,783,388,854,071,959,234,859,
337,095,341,689,007,782,178,173,738,674,924,193,708,076,886,739,528,504,669,
546,933,747,332,031,187,794,561,805,334,687,819,906,296,656,270,099,994,949,
240,077,316,939,455,240,540,712,714,742,407,741,732,771,983,363,081,279,638,
433,392,424,288,968,022,840,865,616,029,445,213,310,298,983,595,132,087,682,
403,226,969,634,757,895,445,271,795,902,667,847,601,505,520,047,369,135,528,
458,135,898,311,158,749,721,047,444,495,767,552,341,817,013,919,592,945,847,
653,227,538,280,745,251,257,272,053,704,849,900,089,640,085,708,293,717,716,
122,903,467,708,881,969,058,547,954,756,847,430,503,499,320,586,207,198,196,
562,662,416,314,377,218,220,673,874,709,935,706,123,760,558,427,457,987,696,
030,799,550,852,525,957,378,457,483,597,741,600,112,914,601,853,501,096,212,
508,212,530,982,419,841,867,347,115,697,511,063,771,423,341,305,205,533,119,
808,505,215,489,557,866,588,094,758,576,849,204,387,827,182,937,062,027,255,
806,272,948,860,090,545,945,307,217,113,257,538,652,126,224,261,766,804,415,
407,978,941,068,112,427,093,195,203,383,810,529,769,533,102,272,875,430,598,
348,253,517,919,528,719,990,963,334,689,282,869,607,996,688,110,109,972,761,
041,516,566,127,893,817,092,043,993,269,810,962,655,792,620,612,045,315,066,
215,591,065,748,879,081,247,776,057,369,860,627,931,420,139,530,810,638,762,
913,401,762,655,656,232,867,374,949,984,048,095,086,713,793,611,719,674,213,
833,131,474,092,480,419,223,282,877,468,616,579,224,275,826,795,897,453,876,
766,943,585,848,295,134,541,347,346,130,058,034,081,716,500,720,210,962,280,
810,658,640,652,550,229,715,201,238,400,230,792,434,117,618,608,988,996,064,
517,478,133,403,541,572,672,530,505,548,902,901,705,040,387,555,447,071,604,
065,635,677,104,284,019,468,467,267,865,111,794,968,853,273,369,740,164,470,
924,463,118,656,293,194,402,886,272,198,521,739,349,729,656,045,766,819,119,
514,346,740,770,934,514,095,913,617,225,678,189,467,782,431,967,775,320,078,
453,865,943,384,838,466,210,745,006,874,820,696,668,910,475,019,780,040,533,
480,670,577,665,322,112,002,709,003,360,441,293,729,364,562,829,830,730,661,
051,419,524,820,055,292,712,547,734,294,694,936,586,258,231,551,877,922,094,
074,691,160,486,263,708,622,723,695,453,532,539,057,370,880,181,072,596,137,
867,730,597,158,293,374,042,470,676,925,371,366,092,392,962,703,931,470,172,
756,489,461,849,170,765,048,286,230,919,842,156,072,235,964,445,177,707,012,
861,098,148,777,169,993,219,515,409,246,124,834,254,766,179,455,853,665,779,
195,110,728,072,093,673,620,134,937,781,793,118,375,765,193,360,353,151,995,
833,972,061,769,599,445,766,237,417,442,643,783,641,962,071,629,095,708,447,
460,228,413,805,473,545,100,204,516,309,930,939,301,527,177,948,537,262,577,
139,402,661,114,130,360,179,204,097,453,320,091,860,349,138,005,748,749,541,
026,517,284,144,729,807,931,710,872,929,661,340,295,477,916,893,961,466,547,
602,608,020,402,409,358,632,284,857,870,675,228,202,895,699,269,074,314,366,
862,341,697,511,198,388,380,724,539,078,989,324,574,541,155,804,053,185,021,
598,984,176,209,634,184,844,254,032,678,071,604,849,319,002,970,282,355,506,
496,116,518,102,446,639,275,205,097,107,814,607,852,414,853,477,593,622,309,
722,969,721,221,071,318,213,899,218,772,128,630,914,329,250,537,273,164,294,
993,219,513,067,100,396,346,007,910,889,817,352,212,162,160,797,356,579,866,
777,000,681,301,385,662,391,189,108,934,142,646,296,529,748,448,646,886,224,
295,426,749,381,258,604,260,552,183,422,779,781,123,909,294,308,125,270,410,
116,465,288,413,097,325,065,702,230,823,243,328,105,718,330,193,452,964,064,
346,879,227,472,119,155,842,003,544,410,189,455,889,650,154,583,987,790,769,
576,252,183,789,056,007,764,222,388,540,808,604,344,555,285,095,274,785,315,
875,399,472,121,808,109,980,036,053,752,279,183,251,718,531,409,545,920,903,
296,284,999,495,106,543,309,702,657,446,062,067,559,620,233,199,763,512,915,
402,891,146,160,048,188,109,978,291,463,789,348,539,876,298,371,032,847,535,
900,975,044,400,276,580,421,942,791,739,991,363,909,683,704,962,038,726,460,
477,306,707,478,645,674,953,997,061,977,668,079,438,734,160,952,736,609,772,
767,933,002,516,962,624,652,250,792,178,821,663,812,735,319,952,173,463,227,
083,898,321,638,489,474,226,832,297,738,171,153,302,812,064,095,399,119,249,
516,256,946,519,442,702,909,496,404,638,481,159,282,878,049,585,154,216,681,
720,923,116,518,399,874,873,442,067,365,201,258,449,653,623,017,492,737,767,
897,605,485,578,404,473,390,144,657,961,324,577,564,229,996,304,593,467,195,
205,751,434,900,770,737,157,565,246,820,880,014,398,676,684,263,984,952,554,
444,994,762,128,344,006,698,909,194,448,834,184,348,017,965,541,332,683,215,
272,585,188,401,015,507,025,874,061,513,946,972,998,944,233,078,772,910,015,
523,310,925,963,465,292,758,937,798,584,807,410,930,848,384,955,204,180,415,
464,522,572,243,701,744,720,839,055,192,583,215,370,087,779,492,878,344,631,
207,969,968,856,576,223,563,473,443,674,682,471,736,208,030,347,344,679,618,
858,534,085,674,782,333,174,643,368,539,527,102,011,238,905,142,385,100,846,
646,225,595,599,062,773,890,641,411,477,836,377,087,286,370,001,787,698,249,
289,959,740,661,489,538,696,681,935,469,152,582,808,337,112,830,170,455,933,
917,655,804,216,570,768,051,871,716,817,755,169,931,232,129,613,384,255,773,
368,708,002,932,191,453,839,721,065,570,263,169,447,437,936,838,867,305,472,
076,545,982,757,829,031,371,423,079,987,468,783,923,655,382,007,228,308,308,
385,521,002,109,821,264,036,033,388,676,379,127,091,764,331,784,011,803,898,
665,286,312,489,088,031,898,671,585,083,422,700,043,221,839,637,927,129,530,
671,013,105,112,275,454,261,659,817,817,777,474,526,136,722,047,984,489,155,
225,407,716,669,069,985,331,670,058,149,251,171,404,645,576,980,087,446,386,
988,644,367,663,374,559,104,548,893,462,624,136,466,864,711,484,723,569,603,
185,089,643,055,899,199,721,432,584,896,038,480,679,732,495,796,504,495,514,
924,723,368,292,903,290,943,433,451,639,917,091,687,802,062,009,297,271,953,
775,274,288,394,424,308,388,317,883,432,798,367,691,989,695,341,738,291,584,
769,683,131,502,600,851,386,002,226,794,873,240,901,217,641,673,638,530,953,
391,844,967,207,884,356,324,529,528,840,875,182,793,071,842,211,524,795,646,
808,825,836,061,348,212,238,277,652,704,420,459,849,856,640,341,734,513,834,
605,583,654,880,254,349,823,455,277,649,016,616,814,514,802,457,402,689,664,
853,038,966,404,192,886,871,083,812,144,063,786,322,720,350,436,398,236,293,
294,576,612,987,345,974,171,249,659,463,482,937,248,907,231,998,883,347,915,
296,432,981,804,406,050,843,836,201,773,803,942,766,797,092,860,590,634,091,
594,596,643,159,697,304,857,766,122,381,988,489,775,132,906,563,565,864,323,
722,109,666,773,639,518,772,693,626,579,555,384,691,716,238,777,321,748,599,
463,125,042,484,659,887,901,488,222,127,059,340,970,855,445,328,409,547,159,
011,033,736,931,586,723,087,896,906,366,717,339,884,019,985,125,971,343,618,
299,700,618,416,412,935,288,132,067,222,701,949,485,147,022,053,066,266,071,
264,601,990,827,719,407,546,410,352,823,976,784,085,610,447,257,945,134,493,
465,152,626,865,901,536,619,683,133,393,137,183,968,942,029,235,314,739,919,
145,305,649,697,366,012,841,838,432,852,228,527,682,157,351,564,787,800,184,
977,543,606,094,157,714,594,883,008,371,353,352,886,117,307,906,939,924,486,
730,548,457,129,656,881,768,672,427,023,036,848,337,227,727,748,536,154,354,
815,121,620,698,310,570,203,851,400,123,347,366,168,854,012,554,259,015,988,
922,949,141,049,413,398,489,261,487,936,095,490,208,676,993,271,462,656,923,
939,291,078,989,501,778,732,947,625,059,133,637,418,184,952,272,269,272,253,
347,889,911,075,174,027,316,394,433,847,882,373,318,192,479,780,701,747,654,
145,508,717,310,493,515,339,232,388,321,903,238,278,057,001,436,140,435,558,
673,808,101,744,124,818,840,723,589,057,706,610,885,542,631,141,097,797,256,
766,976,379,233,601,156,657,568,935,390,360,223,726,056,474,179,383,362,765,
193,103,426,534,988,218,036,133,899,901,349,467,520,099,767,656,368,186,322,
623,913,146,728,709,797,958,862,259,992,249,861,846,162,187,272,197,515,078,
026,607,416,799,365,476,099,423,190,269,684,812,807,125,684,958,138,167,701,
888,651,680,147,352,915,575,497,732,491,365,489,813,797,970,566,072,015,504,
594,120,167,938,269,368,523,693,764,689,871,079,253,307,379,037,528,901,338,
241,858,580,572,982,385,327,179,240,898,678,874,166,414,068,608,789,510,797,
971,268,309,248,969,697,699,383,157,198,163,766,475,061,598,139,863,038,182,
367,257,469,046,012,284,040,795,449,764,812,931,406,944,983,388,465,376,462,
691,602,787,037,330,374,137,917,094,843,091,760,464,671,486,572,396,374,521,
521,858,351,029,522,498,237,799,557,561,130,995,118,514,039,762,109,444,462,
288,750,797,166,731,751,705,704,618,523,894,576,332,218,930,690,326,966,959,
867,544,362,537,396,624,309,051,797,928,289,232,443,830,853,847,401,150,611,
022,364,126,089,388,326,454,218,512,394,690,858,275,974,724,326,340,092,338,
808,259,978,955,247,121,447,454,312,775,180,488,651,553,481,873,907,772,819,
114,354,109,232,439,552,039,284,318,804,986,365,881,399,156,831,359,861,869,
324,282,836,118,953,736,936,429,348,996,021,715,084,493,218,977,512,067,205,
252,333,429,922,729,889,760,918,140,518,062,036,395,512,009,454,253,271,988,
135,458,079,575,866,057,244,216,322,196,572,070,315,560,052,210,404,399,675,
909,704,068,982,884,312,737,071,106,044,747,724,740,190,276,224,407,696,180,
828,368,153,119,315,816,835,468,604,218,555,433,248,164,615,568,835,262,918,
248,151,717,541,411,364,206,591,591,052,642,247,730,011,703,657,893,244,230,
427,983,420,713,700,627,619,388,942,577,581,978,450,831,031,836,271,658,231,
987,098,320,248,177,941,163,237,710,696,120,823,072,976,528,464,823,994,979,
902,352,056,518,681,698,187,602,083,979,556,262,820,586,499,655,692,856,796,
759,196,028,792,358,484,998,053,264,888,160,139,242,471,384,765,233,403,698,
816,029,582,795,860,212,844,518,981,874,510,140,232,287,346,430,752,663,542,
671,806,625,830,950,034,764,845,293,384,165,302,247,747,238,249,855,026,050,
786,904,958,657,725,899,462,401,493,145,215,863,106,678,382,532,862,393,151,
056,189,404,584,562,756,057,190,847,951,748,790,830,698,789,616,455,794,195,
134,068,013,349,506,058,644,653,705,880,458,975,510,224,623,976,415,106,009,
142,598,412,221,840,525,121,126,310,479,536,388,511,276,083,239,674,968,302,
829,004,282,098,879,148,358,829,629,206,645,186,919,035,668,398,374,988,125,
820,093,853,423,027,297,872,302,050,868,394,402,601,640,483,590,978,907,304,
882,529,872,576,665,222,826,828,347,204,373,865,902,857,954,097,851,003,998,
651,608,689,532,488,224,636,018,575,419,414,092,898,702,463,610,106,166,634,
735,406,809,085,434,254,185,987,479,842,987,146,510,705,332,603,760,425,898,
531,705,840,309,624,064,798,051,268,062,250,650,727,840,521,800,556,755,917,
994,423,538,194,361,312,793,542,718,910,605,679,431,203,793,372,885,309,835,
105,298,440,095,307,266,538,009,532,441,287,406,670,473,465,100,016,779,646,
754,024,324,808,706,606,988,982,249,699,633,867,760,984,632,502,403,378,946,
360,240,172,793,740,461,668,511,349,570,240,913,318,480,032,178,383,405,327,
744,284,677,627,372,182,863,228,575,846,338,740,895,444,855,544,708,871,354,
943,391,743,980,582,012,281,271,866,632,186,983,534,367,891,356,922,778,194,
844,867,802,382,808,953,955,533,131,930,228,048,838,134,094,510,265,598,153,
694,599,218,271,107,114,876,399,630,435,619,343,257,493,289,841,010,388,498,
968,499,286,147,728,078,213,949,857,907,806,186,414,658,294,562,996,612,385,
900,244,538,222,315,850,073,564,240,186,835,845,640,981,258,044,016,059,720,
545,876,329,814,672,840,862,329,774,346,097,823,882,527,235,327,922,007,448,
024,129,979,130,275,422,798,731,435,344,903,789,268,773,182,710,153,483,072,
051,904,019,682,608,652,170,881,089,376,655,725,426,099,126,256,885,336,084,
703,271,881,550,476,255,773,028,627,374,832,288,853,988,944,013,671,498,250,
898,870,831,435,242,585,310,843,335,088,134,452,719,701,657,253,636,982,677,
118,688,176,631,982,463,567,994,175,847,838,404,695,763,744,110,192,202,763,
031,306,081,044,938,581,135,173,207,736,405,454,449,720,865,619,768,098,826,
284,742,390,002,025,519,594,265,793,577,660,312,867,384,818,423,698,000,221,
931,820,969,704,905,469,704,979,352,727,397,423,575,219,150,924,344,417,534,
459,972,033,148,344,044,536,444,667,108,359,688,513,288,809,866,091,538,964,
695,098,139,164,433,963,900,408,333,124,199,889,985,455,424,107,286,205,150,
235,981,464,080,101,980,882,909,829,603,683,483,037,068,693,326,810,040,264,
991,617,898,187,756,249,659,170,098,268,370,943,699,993,533,254,110,446,145,
006,497,767,117,412,802,891,890,442,949,495,519,034,673,938,664,992,430,396,
497,951,031,158,299,836,417,984,117,134,262,493,111,427,556,945,365,236,143,
027,318,017,423,710,500,014,794,125,522,467,601,879,424,184,574,228,758,829,
262,300,304,562,830,642,794,244,003,927,344,907,476,509,972,498,676,269,693,
449,746,780,098,075,765,497,318,358,365,168,289,020,191,999,060,172,533,007,
649,622,421,202,921,689,040,711,491,981,958,593,055,489,223,552,120,911,757,
925,285,689,743,111,056,457,766,747,136,821,082,915,766,111,295,286,327,670,
717,563,512,289,930,999,687,110,080,602,951,114,133,016,054,701,671,915,197,
080,553,595,309,888,406,588,469,675,040,527,694,033,540,526,491,001,241,213,
982,811,024,333,713,268,925,823,763,891,788,752,165,463,148,473,032,837,626,
618,681,945,637,066,233,989,376,076,568,207,260,804,499,952,004,339,547,340,
399,378,672,657,030,366,813,504,986,441,192,826,838,235,841,702,282,537,503,
213,631,903,647,695,213,383,227,974,577,455,312,110,101,094,084,554,427,983,
150,328,074,560,923,014,529,596,939,436,337,695,336,705,272,520,022,211,216,
795,330,468,610,528,942,727,054,190,265,846,004,384,724,555,685,312,993,718,
821,459,577,636,632,698,465,757,905,375,625,919,877,393,709,100,891,039,116,
871,443,334,157,336,344,915,740,435,584,378,402,527,822,486,158,749,014,214,
980,658,895,048,295,975,839,632,023,183,180,542,684,554,269,748,512,960,274,
770,447,068,002,545,632,822,731,215,487,165,708,538,431,358,965,909,264,483,
035,881,238,685,328,526,415,084,781,963,429,895,995,655,312,733,146,448,806,
564,327,246,064,923,743,547,483,262,727,432,660,691,166,086,043,157,792,455,
797,386,511,534,022,021,697,074,265,436,515,762,700,347,293,917,740,539,692,
549,829,266,830,499,236,942,935,977,948,774,932,567,285,299,841,828,586,991,
361,056,777,697,298,232,965,443,890,613,310,516,218,341,340,744,993,425,679,
551,391,282,857,060,610,435,042,223,477,513,832,088,716,139,262,737,010,272,
641,498,293,177,011,312,243,935,352,658,233,562,005,128,362,372,527,032,021,
329,575,407,576,889,979,701,537,762,803,014,074,518,243,288,087,181,298,322,
983,120,236,121,835,622,170,380,756,461,674,346,619,381,904,711,369,536,294,
418,915,696,706,161,835,039,296,305,289,427,519,441,223,428,037,704,146,934,
638,189,093,945,657,180,536,528,765,420,611,384,122,748,256,315,376,137,259,
861,417,542,042,917,110,627,226,452,498,805,172,025,093,563,635,268,990,180,
413,525,011,786,396,911,467,973,300,289,744,683,375,711,551,491,629,274,380,
460,492,425,431,948,440,285,607,653,536,480,192,089,748,060,472,339,300,870,
987,881,956,004,658,387,316,470,214,942,287,713,685,180,703,691,898,119,800,
866,463,068,010,387,460,437,775,366,284,348,127,110,669,928,448,616,097,195,
858,757,659,636,237,183,773,293,941,964,454,530,580,228,373,893,800,928,135,
702,788,774,196,256,429,659,288,451,109,370,264,183,998,739,729,881,434,758,
075,843,792,690,126,163,250,093,054,648,982,613,825,596,006,813,979,542,668,
499,863,254,630,501,283,323,641,885,539,854,603,928,704,504,150,716,103,084,
562,440,912,990,399,980,777,885,128,299,534,605,032,282,324,687,465,631,901,
180,407,006,962,258,194,570,112,198,206,346,040,517,668,110,500,197,484,751,
418,426,125,655,493,904,095,644,030,748,152,890,884,894,295,682,763,885,006,
013,521,534,573,157,901,857,566,558,059,628,567,581,672,935,796,471,621,917,
107,775,699,274,777,597,962,052,748,835,734,748,416,269,730,685,955,871,593,
641,913,095,918,109,958,352,695,188,858,246,364,715,417,969,582,737,219,106,
089,282,028,079,723,506,928,433,066,014,688,986,175,851,737,023,224,842,973,
106,741,532,822,147,436,352,442,262,292,949,866,295,713,241,163,852,343,405,
500,987,336,798,485,831,697,613,093,706,741,052,023,271,846,563,811,813,182,
328,588,842,581,862,209,195,879,766,232,335,302,881,714,656,081,927,841,561,
132,405,281,640,807,880,153,747,757,352,279,047,863,896,933,067,784,811,959,
270,765,456,607,959,544,424,724,027,186,961,155,646,960,706,993,411,577,670,
817,326,807,819,535,437,370,329,192,042,093,146,940,573,842,963,925,173,184,
475,951,072,265,899,320,936,409,922,972,337,022,358,611,865,725,769,696,310,
351,324,488,175,932,612,393,905,137,687,445,091,326,488,449,997,864,903,232,
071,391,488,884,178,370,988,573,102,292,097,675,884,483,868,739,725,105,579,
129,509,297,202,271,224,558,111,090,664,146,089,957,083,207,803,386,991,291,
126,525,082,181,720,671,179,033,456,887,583,918,389,674,321,461,023,261,276,
246,446,031,727,263,509,074,714,365,624,543,884,987,642,310,209,021,086,917,
751,682,425,234,274,719,226,564,272,173,115,576,889,259,632,148,185,654,590,
764,367,502,513,981,733,694,214,325,307,188,606,443,502,330,927,040,210,176,
248,162,015,976,320,336,362,307,436,186,162,189,476,515,983,848,949,394,894,
698,713,317,831,867,850,616,806,924,468,466,678,258,567,314,502,950,240,271,
956,615,377,608,729,047,554,501,926,904,544,248,284,822,455,924,185,532,495,
406,040,962,077,516,321,372,520,971,371,390,835,210,133,873,910,628,404,673,
800,365,115,813,629,631,409,795,172,406,003,539,504,636,603,204,688,139,588,
421,440,410,172,653,091,525,819,713,787,347,799,998,184,254,167,818,275,621,
257,158,853,362,385,351,449,177,894,138,243,377,812,535,960,117,901,228,377,
334,237,471,622,799,344,721,791,983,939,398,814,464,743,441,275,731,218,318,
308,690,649,054,276,606,121,936,811,803,788,978,651,185,547,289,962,512,555,
493,968,514,586,187,860,969,164,665,936,910,027,638,025,684,187,375,443,284,
691,828,994,230,473,536,217,061,361,930,874,677,336,555,193,206,374,408,317,
040,054,799,241,647,198,682,280,884,789,983,379,045,270,681,740,671,632,312,
462,368,828,394,213,774,889,591,331,833,104,717,741,235,035,093,996,758,024,
998,740,761,887,497,453,964,583,223,940,668,928,966,236,058,671,675,130,666,
067,356,384,016,111,349,638,151,078,536,284,233,249,955,477,710,040,477,404,
037,466,736,293,634,234,350,403,931,803,028,498,102,743,065,141,170,514,447,
168,722,069,691,132,228,584,689,769,096,412,233,348,118,148,525,046,990,161,
005,302,773,464,339,129,595,583,402,428,087,191,443,913,278,481,642,978,502,
332,186,483,676,892,008,381,571,677,762,901,120,620,260,346,634,185,174,415,
054,624,386,272,129,140,670,512,369,253,684,754,454,229,078,260,265,804,644,
670,753,565,631,631,428,994,148,818,206,229,604,940,481,632,471,022,524,854,
841,825,799,167,522,824,310,078,068,809,369,649,491,430,530,364,567,173,833,
651,570,329,564,148,907,031,977,980,416,840,012,044,851,673,612,655,498,118,
451,061,899,027,369,828,846,224,702,657,962,963,763,612,327,941,060,132,440,
161,017,842,832,359,386,362,678,374,966,042,917,038,434,880,180,032,633,720,
410,669,094,639,874,387,744,396,547,613,694,510,295,784,762,124,191,783,113,
612,688,818,861,666,325,275,533,731,451,082,786,390,813,743,251,611,852,270,
863,880,204,915,668,761,509,756,762,487,023,916,512,936,524,737,659,230,741,
669,432,702,462,020,463,924,738,055,478,545,126,442,637,729,374,811,137,528,
565,756,177,293,005,512,224,753,558,343,248,632,742,551,451,909,214,084,578,
766,212,441,874,717,602,754,408,211,836,580,350,970,058,158,742,873,950,081,
242,200,201,075,488,784,885,124,043,329,250,390,839,615,340,196,310,366,800,
613,937,033,862,628,058,287,574,284,634,834,692,267,229,815,257,515,584,479,
044,376,795,723,644,172,044,904,642,490,526,246,458,107,197,574,892,331,493,
958,009,792,458,433,212,817,951,968,391,824,829,362,954,381,028,261,323,724,
317,776,007,969,599,278,869,326,908,549,300,908,473,952,170,929,031,030,626,
609,603,287,044,236,716,199,138,885,903,093,521,223,271,199,728,094,332,861,
431,149,443,008,165,795,660,408,841,616,045,486,867,949,693,488,398,583,514,
984,698,325,148,906,066,653,904,982,624,504,276,728,800,521,572,952,480,332,
519,277,805,464,062,625,569,947,150,627,546,374,637,016,147,756,570,595,665,
893,221,267,136,574,646,991,464,526,663,938,141,224,544,923,561,764,269,971,
160,979,704,472,882,886,818,436,959,389,360,295,811,452,802,916,745,186,289,
901,710,066,886,317,403,645,869,447,228,459,299,684,064,997,371,416,416,684,
467,628,347,061,372,543,698,571,160,692,758,748,309,753,631,382,844,368,196,
247,727,225,120,131,612,368,418,415,039,260,629,627,003,373,399,717,153,763,
574,582,234,061,005,119,514,745,870,484,468,603,052,130,333,800,275,341,569,
028,509,660,415,674,055,891,983,958,887,806,686,990,460,494,871,468,272,228,
187,929,756,175,681,545,536,158,491,294,503,610,491,294,480,934,318,491,637,
550,022,063,532,955,061,240,281,923,009,611,725,608,344,413,689,329,766,054,
841,433,370,197,431,396,377,000,292,613,952,942,855,567,479,664,728,693,753,
942,251,279,843,535,928,652,045,085,964,059,957,369,901,376,285,251,991,002,
573,051,575,027,151,156,397,145,435,662,698,078,059,070,338,324,017,538,544,
818,456,362,038,159,034,777,925,973,559,921,574,313,092,522,221,169,843,026,
757,839,554,078,378,626,645,448,127,528,639,399,559,010,082,065,214,814,969,
887,938,934,389,332,673,870,603,764,379,020,234,966,163,515,210,463,351,748,
820,738,261,031,181,277,015,084,159,380,672,707,673,431,535,698,006,618,556,
365,096,378,161,683,342,587,502,574,372,783,134,167,009,721,127,840,040,124,
824,038,035,695,223,141,848,850,984,223,790,693,892,656,740,376,209,945,809,
751,931,345,448,864,650,037,636,947,240,232,558,141,269,578,750,997,136,845,
015,454,259,721,853,803,958,406,647,439,312,641,963,021,787,674,551,494,854,
671,011,113,565,092,419,229,493,819,210,221,673,865,781,641,372,305,321,169,
949,618,534,175,525,339,538,972,516,205,761,358,791,218,719,577,832,990,852,
601,837,143,016,822,641,804,852,235,691,348,931,950,530,619,790,436,321,085,
809,134,596,479,701,491,436,519,100,598,666,917,254,471,613,292,562,425,690,
449,071,283,347,232,302,479,461,798,563,881,268,397,638,732,959,466,832,091,
868,193,749,181,803,608,443,394,053,489,776,153,316,871,010,488,905,607,875,
698,864,520,844,042,497,506,778,005,336,626,802,841,775,482,929,311,696,554,
305,943,184,671,266,035,176,039,535,917,267,197,025,590,968,908,319,991,558,
782,047,441,815,054,411,574,935,734,764,141,007,164,435,247,062,001,085,041,
148,954,387,563,893,475,259,538,102,423,416,965,835,976,261,484,147,541,615,
665,737,250,655,847,381,455,490,848,619,304,250,231,102,242,954,264,888,974,
104,301,206,992,290,667,796,778,307,874,125,628,390,305,392,586,244,333,698,
895,096,800,325,775,927,800,220,093,362,303,352,358,464,510,656,817,304,755,
293,595,415,724,299,810,922,101,735,482,452,385,168,108,666,147,528,541,142,
152,008,871,625,346,212,559,521,824,495,141,382,822,576,429,194,719,834,235,
508,456,540,897,842,505,604,807,609,530,779,633,497,040,864,622,156,002,569,
240,019,653,860,943,606,914,693,397,766,323,402,733,838,572,817,269,356,148,
741,918,055,934,708,020,296,514,206,042,579,121,972,647,931,000,162,744,544,
417,968,388,521,543,927,819,183,208,371,726,085,053,093,439,400,690,675,938,
995,365,845,493,031,846,269,237,982,920,956,147,377,108,470,865,280,090,840,
847,036,967,041,979,540,753,486,072,279,646,106,615,599,890,999,697,393,505,
756,096,024,940,074,257,659,052,259,673,654,586,897,869,914,234,210,686,337,
836,304,342,982,272,365,269,302,844,465,439,780,214,073,306,286,695,635,793,
596,563,218,362,694,230,591,639,279,196,633,422,534,924,671,333,717,900,797,
424,005,615,949,337,162,586,023,775,131,287,942,117,054,874,628,947,463,430,
189,979,594,631,017,361,855,019,108,902,977,048,612,415,937,877,339,013,062,
493,411,793,312,982,877,448,877,058,451,927,800,983,136,627,805,250,377,188,
018,180,648,284,275,101,084,706,625,595,372,548,206,708,148,337,018,528,464,
021,993,490,507,530,892,624,677,284,049,095,851,573,654,551,622,057,389,165,
076,678,642,987,870,478,681,236,975,643,388,717,532,702,509,692,467,401,626,
543,553,504,461,675,124,392,606,559,799,807,962,288,907,069,188,528,237,095,
491,099,851,949,178,038,813,423,938,771,697,308,683,274,776,149,480,917,897,
858,625,303,014,780,470,160,082,149,845,044,805,394,259,244,517,079,598,247,
690,731,508,259,161,553,304,302,941,658,200,987,553,910,359,744,805,684,925,
196,539,056,400,182,984,970,763,670,890,200,359,712,815,735,942,312,216,588,
648,703,709,417,584,814,914,702,934,155,093,450,365,019,746,274,463,015,802,
895,066,818,865,032,488,980,483,734,703,820,103,363,552,233,666,013,966,146,
105,993,798,624,810,123,795,863,862,387,919,739,354,283,970,848,161,114,951,
637,448,511,929,654,468,780,324,429,161,083,847,542,811,332,249,651,537,614,
229,905,795,776,784,645,974,163,676,504,323,877,052,191,291,236,034,785,805,
353,888,421,338,227,604,467,747,309,660,538,543,618,731,006,040,658,581,946,
947,465,186,374,397,485,314,901,135,871,194,646,976,147,642,466,180,480,847,
111,767,102,498,817,659,382,933,717,042,748,048,455,499,250,535,640,728,531,
022,244,104,226,753,355,920,371,696,734,501,839,499,222,307,214,135,808,882,
353,726,581,232,895,088,722,342,625,341,245,363,100,475,445,619,873,736,674,
826,312,558,516,029,356,898,667,204,919,008,449,496,976,824,712,646,144,445,
565,900,054,289,848,528,944,349,897,437,339,036,297,802,047,357,646,955,656,
492,591,657,375,849,947,661,874,778,309,543,352,412,779,835,479,903,406,962,
734,539,351,380,717,333,790,887,125,757,308,100,233,312,128,165,472,325,264,
427,465,864,358,672,093,566,958,409,144,706,784,436,154,243,589,730,975,041,
839,011,236,381,056,160,649,202,438,886,234,348,162,891,227,376,511,628,836,
143,564,766,262,346,403,619,433,862,889,504,442,241,292,506,965,597,306,645,
510,740,217,306,804,413,460,232,984,555,876,369,715,301,247,469,350,798,600,
889,624,825,901,111,609,699,223,674,961,369,276,797,746,182,269,316,535,845,
004,589,464,415,267,942,266,385,062,539,707,349,923,539,735,619,629,818,397,
888,251,384,660,983,396,872,120,826,281,068,566,893,563,862,187,154,089,322,
724,165,051,014,784,182,354,611,862,649,498,558,168,291,990,521,811,119,637,
801,508,088,641,140,588,115,011,251,246,013,385,853,587,678,385,250,886,249,
461,505,098,203,331,572,365,583,360,909,332,288,351,101,710,849,887,964,585,
666,513,098,950,152,088,147,603,905,004,076,838,249,850,017,884,940,655,503,
863,769,975,046,794,952,819,209,397,867,924,350,549,506,330,797,551,213,609,
722,156,124,483,154,249,137,227,722,686,893,969,732,302,431,505,658,532,725,
483,789,373,197,857,438,320,307,445,126,367,216,244,877,185,418,788,854,610,
914,460,764,866,753,535,612,478,673,445,294,853,320,040,708,741,494,369,336,
631,965,985,204,162,920,635,838,726,475,373,296,484,875,327,160,876,416,647,
342,931,351,803,086,307,481,571,942,187,815,663,428,189,539,556,344,916,765,
870,934,281,597,956,249,620,919,144,269,780,909,499,062,053,616,110,028,676,
915,473,994,821,431,507,895,589,531,404,018,493,376,985,548,743,413,403,476,
187,614,853,540,464,636,743,549,462,237,635,741,969,635,008,932,899,843,835,
588,077,694,196,878,065,165,007,423,980,134,695,478,411,071,691,600,094,046,
057,715,863,016,809,291,269,355,888,060,623,009,904,399,605,916,700,917,181,
205,999,239,251,441,000,000,399,880,233,393,475,321,713,318,968,082,924,088,
348,355,785,253,725,422,463,061,336,446,433,430,975,993,835,259,505,007,037,
665,379,051,698,904,254,956,319,555,616,011,048,287,048,575,058,215,858,968,
749,696,930,862,531,324,454,060,896,040,527,286,321,840,716,941,028,241,779,
657,109,998,296,175,538,276,499,203,331,558,399,560,109,311,720,530,974,686,
834,310,566,687,581,284,676,039,634,616,075,244,052,207,863,226,568,817,128,
676,056,701,078,361,058,135,522,145,137,525,238,882,903,845,360,987,407,158,
993,673,515,783,784,752,330,302,884,772,796,923,777,814,073,501,232,594,470,
985,359,040,943,345,754,451,729,854,262,178,304,165,934,481,956,022,128,562,
823,864,587,868,103,724,957,890,134,029,961,436,817,622,623,154,651,779,677,
434,363,512,441,026,203,068,003,156,776,110,265,408,316,350,202,417,966,703,
969,367,600,730,904,603,710,478,245,607,865,298,229,605,519,601,346,982,703,
372,285,084,996,191,407,442,814,329,979,528,699,106,515,272,306,772,704,230,
848,316,278,001,043,139,007,542,527,239,090,630,135,881,642,312,875,462,170,
465,255,143,396,313,202,703,033,143,330,505,622,780,173,692,366,817,702,808,
657,939,030,681,847,866,311,922,052,375,971,428,773,663,738,956,080,199,926,
621,805,549,164,174,117,735,775,716,027,348,029,122,477,739,452,133,352,490,
963,404,926,846,785,488,478,492,716,104,797,592,489,374,985,089,478,071,723,
877,085,531,674,774,412,112,696,941,608,136,435,492,616,137,798,943,994,137,
575,372,060,778,699,704,305,234,435,737,228,644,079,513,652,169,262,419,283,
459,730,786,088,198,011,663,119,735,342,232,173,295,591,821,194,416,408,453,
636,271,479,621,447,395,495,766,257,945,784,427,481,797,052,765,967,604,436,
710,536,672,324,079,393,931,471,258,829,993,640,152,988,613,200,008,309,885,
078,311,461,349,898,509,865,222,773,071,131,594,266,970,290,958,425,608,881,
494,725,870,734,866,864,004,171,594,715,465,895,706,475,177,351,274,079,739,
971,989,527,470,111,370,406,920,682,467,364,883,473,911,437,810,396,531,507,
200,061,856,442,377,083,526,812,370,202,189,487,995,955,363,446,616,382,637,
930,587,380,128,786,805,053,055,399,275,225,885,497,330,015,222,883,926,208,
829,116,065,713,455,976,056,779,792,755,054,353,991,466,394,851,167,695,732,
150,583,445,716,498,257,380,493,393,367,171,902,080,830,611,264,125,760,137,
736,717,153,603,447,656,891,083,252,336,717,373,411,708,110,934,682,126,050,
092,977,742,825,479,565,933,993,507,595,916,474,878,978,229,318,984,092,354,
126,791,194,498,595,677,217,721,751,823,450,812,739,995,894,166,638,426,460,
702,916,416,457,877,826,584,247,950,278,643,139,653,329,022,650,658,538,222,
454,404,737,682,890,377,099,758,617,135,438,659,046,344,334,406,989,246,967,
916,830,140,886,948,143,829,400,949,282,315,949,992,472,515,768,181,210,781,
851,436,642,716,391,472,813,203,682,154,670,422,407,799,885,708,319,513,385,
470,961,524,489,817,983,778,040,465,834,890,034,800,446,610,725,746,427,284,
171,961,550,392,748,336,100,109,586,712,941,825,009,416,605,155,311,400,624,
285,311,660,417,985,489,154,543,663,910,200,134,064,285,962,070,041,645,369,
369,947,198,458,999,931,792,873,822,484,204,020,508,748,282,769,002,659,635,
965,329,796,531,913,405,512,418,817,655,794,012,579,318,697,959,090,360,508,
487,244,651,266,598,390,683,948,221,969,447,449,180,309,323,584,072,714,973,
669,123,494,187,259,117,979,765,499,142,368,391,985,880,092,660,867,302,308,
865,306,454,712,461,857,979,734,573,667,388,796,131,093,066,041,628,473,126,
174,428,489,473,002,139,806,782,588,576,457,895,724,136,817,259,730,865,946,
889,033,574,281,974,318,031,011,208,596,650,837,110,294,746,881,335,176,832,
810,072,033,406,726,610,720,110,600,951,200,465,856,008,471,816,514,811,579,
884,063,089,714,128,063,936,191,175,187,569,668,238,201,616,206,024,380,015,
492,183,747,540,779,713,043,411,722,929,905,196,912,805,806,845,977,682,725,
638,532,771,793,192,122,060,241,249,356,377,055,441,809,812,979,889,481,089,
833,007,530,746,989,694,359,084,087,449,209,150,559,526,537,596,941,243,646,
398,392,708,385,871,974,723,966,834,247,296,696,721,305,224,170,683,666,839,
141,286,028,927,394,924,273,276,886,915,122,403,069,047,987,009,793,168,075,
675,312,413,582,159,386,818,265,403,182,293,943,156,353,623,884,119,448,650,
217,450,113,716,833,019,955,784,083,182,411,476,217,254,275,178,819,480,205,
501,209,887,122,535,101,171,730,920,731,966,656,644,334,220,265,222,004,854,
962,501,963,657,529,918,933,214,955,567,491,830,100,719,065,491,274,402,330,
800,964,966,551,269,249,111,286,233,039,877,131,712,374,816,882,071,523,171,
474,674,718,885,695,462,746,604,896,859,593,101,312,139,837,412,269,964,428,
688,200,413,732,360,189,969,825,603,753,323,389,598,045,079,948,053,518,006,
940,290,958,446,426,533,034,952,113,181,501,279,862,787,259,799,588,642,585,
029,852,509,557,469,793,541,144,999,170,773,358,386,419,445,729,213,999,604,
095,679,634,890,001,282,975,653,195,192,294,353,903,949,424,987,918,531,360,
167,692,507,630,304,321,686,102,971,313,915,055,358,594,263,839,320,266,150,
835,502,627,805,035,986,738,667,947,971,198,778,168,159,164,702,968,337,830,
682,727,364,821,469,574,896,884,531,273,082,942,566,553,823,510,216,789,678,
104,773,133,963,671,285,544,132,458,489,389,417,776,124,977,851,260,495,526,
899,236,544,057,282,278,556,344,821,104,615,067,841,481,419,299,304,890,771,
444,723,929,410,818,294,900,333,328,885,006,178,469,183,638,221,647,181,141,
613,633,318,015,496,571,979,632,634,497,505,021,883,807,188,947,805,110,722,
091,018,693,752,624,366,431,266,581,200,922,440,309,444,913,067,544,563,313,
226,821,082,209,758,203,849,015,406,144,130,320,665,417,392,185,789,529,068,
504,156,073,696,869,757,090,770,756,119,570,368,239,108,478,367,368,972,702,
012,675,065,129,752,489,706,093,812,861,974,812,002,488,817,590,606,682,934,
142,284,370,412,401,965,630,979,087,206,533,390,263,452,228,945,762,261,519,
071,296,195,183,376,176,363,796,947,777,164,634,663,190,825,274,070,049,964,
125,360,028,557,410,375,824,979,076,593,509,761,488,506,335,790,998,697,538,
062,958,092,174,115,935,795,438,548,110,681,208,125,139,665,751,720,869,016,
420,647,987,140,121,700,369,063,796,344,764,951,571,855,662,817,035,992,470,
585,750,359,227,498,374,580,027,030,545,290,186,120,752,291,346,749,043,069,
121,210,715,959,093,445,996,292,053,794,319,221,058,678,123,335,743,187,182,
265,889,689,802,615,266,970,443,398,904,951,295,112,396,294,109,845,318,505,
461,437,604,571,117,466,803,107,463,872,331,417,384,476,033,422,453,097,688,
004,101,809,267,135,239,992,602,733,858,568,820,114,133,977,110,465,365,200,
324,415,955,746,725,610,077,206,990,091,441,964,443,925,760,317,516,891,954,
838,225,264,484,292,367,546,534,978,367,609,610,726,236,570,319,447,747,664,
799,322,970,024,864,923,194,570,474,119,636,779,194,194,173,396,035,254,790,
273,195,448,658,905,310,549,212,909,356,549,643,294,838,784,575,697,247,102,
946,662,978,839,938,827,310,682,630,935,723,370,539,046,758,220,952,835,486,
245,634,286,939,818,249,805,462,509,208,429,449,591,957,432,419,074,542,595,
578,344,505,141,403,670,646,414,726,911,976,583,067,950,379,441,894,112,457,
256,606,105,483,285,993,127,104,071,841,635,375,737,636,396,434,415,700,895,
491,435,993,410,670,702,365,603,868,141,528,807,246,314,503,572,398,323,101,
685,361,503,857,996,918,715,102,563,692,724,200,181,126,466,744,978,758,085,
511,014,194,129,736,347,847,319,503,341,338,705,902,999,358,694,798,177,460,
067,279,167,469,811,756,949,459,238,004,185,450,554,899,985,757,666,330,263,
711,214,409,614,832,907,347,876,231,648,130,540,326,803,896,677,817,833,736,
507,306,027,082,636,632,802,109,073,938,135,574,723,541,948,642,258,672,202,
629,497,953,869,608,941,895,323,256,074,325,137,615,875,608,331,444,670,789,
674,997,474,096,181,485,963,198,565,231,936,823,494,990,280,992,319,290,460,
653,804,086,434,517,442,697,118,623,743,407,295,749,798,630,912,622,822,226,
760,486,603,181,929,391,816,892,361,291,350,753,957,078,792,568,666,483,392,
985,314,176,038,986,379,687,959,208,527,264,782,072,897,481,107,286,265,476,
011,761,623,634,928,302,106,888,098,887,205,582,570,664,975,534,408,825,052,
719,525,871,970,129,463,246,103,850,337,868,835,062,189,523,650,137,641,538,
986,821,423,780,623,346,775,404,670,104,133,604,624,414,681,559,124,330,783,
774,179,669,517,715,000,270,980,620,387,413,950,371,543,930,443,906,414,991,
454,058,583,076,793,903,854,266,620,499,388,771,686,471,907,899,009,314,370,
354,525,780,679,988,773,364,180,449,639,927,099,269,351,537,933,759,606,510,
598,669,600,634,044,814,965,209,723,314,529,893,665,918,714,457,824,421,769,
250,597,958,414,035,848,193,186,626,856,580,200,970,929,145,061,848,773,044,
462,173,855,784,385,841,696,455,736,000,739,923,583,459,573,959,485,128,635,
695,822,052,297,395,630,487,699,945,662,223,357,346,016,968,676,747,541,895,
642,774,692,692,551,777,023,760,858,235,411,448,639,608,851,358,958,562,313,
079,604,787,439,209,094,356,896,892,061,089,415,406,981,339,106,965,835,420,
676,381,290,329,943,095,912,979,830,099,523,671,697,102,290,391,596,892,498,
884,212,282,403,348,177,985,100,837,988,659,809,970,701,178,596,685,956,018,
826,704,964,679,564,351,943,561,364,353,074,982,245,114,245,367,197,729,139,
183,805,833,392,875,241,730,459,545,085,464,246,182,269,414,389,376,771,879,
762,867,988,893,460,940,804,651,024,985,885,247,498,624,154,208,137,705,607,
433,344,200,872,342,965,712,972,474,626,728,878,566,248,361,475,499,100,584,
623,214,982,992,313,401,680,509,864,906,992,967,836,545,384,416,775,546,016,
015,063,052,951,891,585,977,649,097,471,964,417,466,274,535,204,819,636,057,
965,786,458,571,662,144,022,245,506,027,313,903,672,526,706,684,650,659,509,
061,816,986,076,948,500,714,606,587,681,278,994,266,510,397,407,369,525,070,
883,810,018,411,668,016,314,645,299,073,671,775,491,768,931,003,756,579,949,
628,971,364,673,013,808,185,634,876,704,275,570,743,951,592,358,339,988,585,
132,855,569,774,748,564,043,959,446,886,406,281,268,590,403,240,273,127,436,
007,534,481,341,182,842,318,662,315,560,482,530,061,304,085,788,403,813,046,
041,731,578,092,616,436,181,500,402,515,554,486,211,844,141,705,005,018,496,
951,760,085,686,687,536,674,853,719,553,253,381,780,054,337,872,397,736,010,
975,177,652,569,213,521,015,077,666,234,270,594,593,160,563,077,626,956,197,
140,323,605,978,533,372,732,475,592,325,188,461,349,851,602,746,580,597,585,
220,545,215,375,021,740,052,226,632,867,706,412,860,792,609,629,941,395,074,
546,348,134,140,320,067,515,724,770,089,179,742,834,989,809,012,049,621,756,
223,765,486,217,911,026,931,136,034,118,954,199,758,761,455,351,038,196,519,
198,364,151,665,599,926,881,361,107,424,686,980,712,870,207,337,667,837,152,
691,916,864,974,920,916,006,150,719,259,450,156,171,739,555,953,814,514,769,
835,385,289,617,045,429,457,817,338,261,689,680,672,800,636,984,506,204,060,
566,278,892,477,995,225,921,680,991,182,418,540,505,492,762,057,355,311,334,
815,647,568,966,992,556,666,149,834,577,468,543,212,509,940,191,714,993,048,
395,731,246,203,975,374,304,517,985,458,933,962,149,976,372,825,577,212,625,
924,503,369,750,726,906,494,035,277,359,754,569,751,621,583,427,594,165,529,
827,464,383,363,753,173,070,371,940,396,932,437,970,716,376,454,507,583,973,
940,315,109,377,837,552,081,398,253,589,884,897,921,257,318,879,788,120,147,
271,173,762,082,706,180,886,575,423,145,749,514,938,434,027,423,159,891,233,
121,238,490,147,446,280,622,929,347,237,606,178,056,827,016,550,830,274,422,
161,183,502,589,588,622,184,794,199,045,445,098,690,709,643,527,254,048,400,
341,915,006,265,799,814,807,093,324,993,564,422,754,863,566,646,522,876,704,
823,023,154,857,605,761,249,830,706,233,842,458,300,391,391,391,772,608,377,
328,076,549,054,033,674,009,164,377,515,011,288,965,586,541,867,606,958,629,
063,783,704,244,195,519,027,836,051,685,699,545,058,120,740,812,095,753,526,
830,140,860,672,292,384,139,358,362,114,590,304,236,922,056,788,794,537,807,
821,619,828,909,175,970,610,205,007,090,982,393,840,551,221,176,362,451,884,
895,037,108,845,580,511,569,862,036,874,442,772,475,863,920,818,062,186,523,
350,887,862,599,310,434,434,914,085,829,550,783,241,742,329,171,025,507,457,
220,184,268,076,132,021,040,960,499,088,257,179,870,905,694,164,604,468,168,
877,414,728,988,520,579,455,652,252,357,259,977,707,571,198,256,178,783,235,
182,924,158,012,793,296,230,275,910,790,631,150,928,995,572,266,389,812,003,
726,312,408,265,807,101,878,243,240,619,304,761,288,019,375,402,838,168,076,
289,756,166,821,646,659,132,277,389,349,182,031,076,775,066,025,594,150,608,
796,939,559,092,544,519,299,383,884,775,387,220,388,106,138,618,064,393,296,
676,892,426,033,310,912,753,227,468,586,823,133,004,452,929,913,908,422,256,
324,794,592,638,843,054,747,059,439,426,274,092,950,015,816,051,593,002,687,
387,059,140,611,788,520,392,195,468,585,038,023,551,379,104,777,423,987,112,
416,464,995,860,411,681,765,096,688,543,537,238,274,362,722,641,793,775,771,
269,372,523,619,592,715,300,890,261,861,129,945,634,241,939,809,479,490,739,
509,251,654,293,069,308,122,930,284,266,855,036,993,641,734,219,357,798,591,
561,207,059,993,785,247,640,848,810,595,219,256,455,548,421,984,756,524,737,
674,586,471,759,847,178,624,285,213,173,441,231,970,162,266,968,682,179,690,
297,241,601,212,235,703,919,659,210,717,543,033,945,729,009,276,893,494,906,
191,672,962,858,844,829,291,165,502,126,078,624,726,240,720,894,748,936,222,
224,791,127,363,799,342,114,015,573,744,960,462,321,089,323,837,485,915,099,
158,514,408,936,098,855,115,572,086,145,788,152,259,407,962,459,460,343,541,
209,870,509,990,039,551,378,648,761,869,144,849,064,310,858,019,379,713,061,
255,782,131,623,642,342,313,483,243,394,119,854,471,255,696,236,180,091,249,
108,256,004,274,988,035,713,185,292,339,731,389,676,728,839,095,663,762,785,
771,829,149,738,702,844,242,838,098,918,004,696,529,696,048,115,064,663,011,
604,670,460,734,017,881,951,583,826,220,933,264,784,891,494,561,183,405,503,
755,807,352,170,308,872,227,958,573,353,997,817,187,616,511,855,131,869,365,
393,130,662,309,859,012,207,620,636,625,337,937,612,978,107,194,042,664,328,
801,818,142,352,403,848,872,781,328,909,236,005,066,710,139,175,904,252,037,
159,455,218,926,252,927,595,833,401,326,227,934,852,118,366,640,998,159,783,
430,997,629,409,278,780,857,811,198,600,986,539,792,461,113,838,761,165,797,
361,034,798,291,863,089,666,779,785,176,992,990,398,795,956,034,957,522,892,
736,654,206,536,719,679,121,199,746,602,731,023,486,205,182,824,373,702,373,
076,741,124,834,025,701,071,742,507,573,132,525,235,818,971,699,665,097,584,
062,711,356,901,561,322,409,916,320,372,629,503,075,501,806,305,706,226,423,
220,305,231,645,807,852,393,100,000,883,546,229,884,109,135,300,035,564,981,
702,587,382,464,164,426,798,112,764,237,719,607,493,218,723,118,991,674,532,
687,305,158,485,042,119,922,434,022,782,778,974,587,359,630,925,225,704,600,
767,355,007,878,318,346,813,062,522,359,634,469,611,933,211,487,802,641,217,
919,903,040,494,279,798,538,302,329,445,523,443,488,999,910,130,187,737,752,
949,434,616,807,343,934,495,490,486,310,113,218,323,574,540,081,369,923,436,
768,970,423,126,789,405,509,441,872,433,888,858,657,853,958,194,893,358,453,
413,520,917,880,802,657,480,857,030,674,201,263,004,678,876,788,396,776,544,
228,320,095,704,781,468,880,448,019,331,156,764,191,390,006,844,378,393,186,
245,657,972,109,954,065,400,315,410,699,273,698,021,193,674,103,771,232,218,
144,458,046,251,701,014,722,867,658,061,135,164,320,926,327,494,616,253,929,
727,735,785,874,208,772,410,665,447,033,391,449,176,266,822,854,226,948,468,
635,849,923,544,098,686,046,677,749,086,330,787,959,680,977,787,917,263,510,
197,323,932,227,528,181,328,943,036,523,885,695,765,030,627,095,030,505,164,
150,742,964,401,974,469,023,361,565,864,869,474,155,802,762,502,521,604,643,
383,153,901,025,510,505,304,870,101,724,516,028,684,454,378,134,555,387,536,
905,992,581,524,747,112,187,843,504,659,064,053,709,963,379,949,852,829,640,
495,135,089,777,068,011,899,524,170,649,301,727,209,226,651,198,530,322,737,
620,733,454,690,458,245,326,217,351,981,772,811,872,857,735,410,083,082,455,
859,717,675,457,251,293,758,310,937,603,782,842,156,680,562,018,023,746,918,
796,791,549,562,087,423,780,066,674,327,273,685,693,815,548,074,055,504,860,
601,043,683,584,736,780,699,747,290,418,306,377,903,322,599,475,231,080,291,
452,235,896,472,839,490,694,533,840,287,915,196,844,706,600,454,638,144,858,
264,537,724,685,859,010,274,072,011,812,479,335,469,540,372,540,602,825,061,
607,954,679,244,054,977,776,014,415,339,170,590,561,097,142,469,219,750,097,
160,911,316,159,545,609,267,351,631,446,087,302,967,811,283,451,641,123,752,
833,582,104,097,379,669,480,124,464,723,752,260,773,271,532,054,149,178,380,
253,236,435,867,313,074,257,263,119,913,160,472,209,389,483,990,532,959,424,
171,731,882,072,409,015,528,260,122,727,209,239,881,476,661,929,056,625,711,
132,278,737,694,981,466,045,331,733,467,112,834,028,130,638,504,578,145,378,
739,302,502,114,895,013,001,548,949,189,341,664,602,475,332,393,209,965,173,
025,536,623,624,751,188,211,642,197,783,516,856,209,012,221,281,912,200,366,
364,172,558,140,640,451,472,559,468,761,519,541,985,362,573,446,926,835,941,
246,813,905,822,264,606,478,514,228,873,044,684,822,557,482,228,523,289,879,
187,853,067,618,357,021,976,028,360,807,111,285,026,335,708,398,963,889,602,
590,865,829,252,337,965,875,756,635,513,011,667,581,676,789,443,177,556,598,
332,464,980,788,851,931,165,243,096,521,403,407,476,523,612,972,083,970,880,
482,488,121,488,082,863,906,990,509,842,012,181,161,475,406,402,037,249,094,
127,968,026,859,846,049,052,984,702,511,792,475,157,651,917,798,898,698,638,
706,184,963,135,724,667,516,083,960,913,393,971,379,789,281,243,695,174,815,
662,048,892,444,261,400,588,946,378,916,769,369,337,243,125,232,246,174,502,
417,844,365,468,564,542,324,915,578,432,976,473,881,885,802,726,728,866,045,
892,332,161,108,262,008,312,325,542,981,538,437,270,341,519,944,830,982,330,
632,713,325,340,623,167,399,601,608,024,168,168,933,539,075,870,756,193,941,
827,468,240,735,244,045,174,013,150,185,986,361,184,418,013,381,384,551,627,
426,272,172,633,607,481,402,782,880,484,822,322,865,889,394,419,878,817,257,
230,767,115,414,662,676,380,187,086,705,166,617,379,458,388,895,099,818,845,
290,473,037,818,151,254,938,477,497,385,225,061,092,772,726,350,869,067,482,
970,177,847,100,916,478,617,930,923,559,303,566,446,326,665,520,214,776,248,
518,862,761,942,566,264,505,406,880,874,017,591,651,281,612,078,822,321,696,
121,518,295,920,841,389,481,467,801,765,576,953,091,582,301,938,026,894,378,
529,637,743,791,584,511,566,439,559,888,498,431,650,839,425,451,698,217,395,
111,453,995,326,942,652,814,671,083,493,694,155,405,205,803,453,988,610,649,
565,249,544,946,924,728,749,687,460,658,425,111,772,703,885,329,378,785,347,
921,643,973,123,025,849,183,650,022,075,003,760,072,223,563,275,115,431,990,
009,964,609,734,811,538,916,381,383,998,444,462,831,319,588,126,311,454,597,
696,705,156,709,476,600,536,890,915,858,812,072,841,072,073,976,339,105,717,
715,325,701,141,492,811,619,109,889,155,612,645,922,517,834,944,305,212,979,
317,023,881,642,372,989,032,636,893,015,831,983,720,352,825,591,705,122,877,
749,546,196,709,592,819,444,445,976,550,567,086,753,291,542,026,003,396,474,
585,463,061,729,294,651,249,085,732,429,138,554,460,137,573,640,429,504,923,
144,962,457,625,223,368,121,842,324,481,439,716,875,819,411,649,356,366,035,
350,509,344,061,954,783,745,629,540,912,132,943,307,120,323,601,005,940,223,
143,867,980,860,085,085,633,052,521,468,925,663,234,725,301,349,148,245,616,
886,478,801,463,839,180,279,664,782,369,326,143,661,772,338,260,209,897,188,
643,336,743,645,855,089,509,961,261,149,574,722,870,830,150,565,441,572,971,
942,960,601,008,523,522,580,369,298,634,364,414,262,965,401,796,083,136,874,
900,389,027,444,599,384,082,857,023,796,033,442,404,483,032,132,311,209,695,
895,900,861,716,071,016,603,308,456,549,626,999,096,691,194,019,278,682,502,
007,258,372,656,083,780,716,069,721,067,537,877,904,324,523,159,304,572,733,
770,675,175,999,137,250,198,253,712,604,583,903,466,197,219,496,245,340,187,
903,553,997,010,982,309,326,493,614,673,669,854,038,226,764,821,180,069,629,
182,955,227,804,576,760,719,075,749,140,351,257,361,526,301,174,837,765,336,
749,587,759,218,720,552,618,340,174,310,524,400,881,381,749,475,191,280,544,
146,219,472,857,007,619,982,913,773,066,144,422,497,189,081,769,580,595,382,
885,069,987,301,626,497,043,607,659,847,210,532,395,515,510,374,634,850,782,
644,325,967,237,712,951,224,406,272,731,481,724,946,800,482,575,436,561,041,
657,754,279,203,773,650,281,787,791,819,086,497,862,203,689,731,511,562,177,
434,993,010,255,953,538,995,571,885,613,987,210,663,391,313,456,471,884,797,
932,892,920,043,658,549,170,700,702,388,697,545,812,775,660,519,369,396,131,
019,230,177,590,697,226,202,441,506,808,623,383,247,766,020,217,545,931,730,
010,015,115,184,821,884,139,959,916,950,190,517,307,208,326,676,396,985,863,
343,301,390,096,972,438,653,186,578,333,311,290,183,723,563,649,427,735,051,
118,782,725,480,064,224,216,798,146,837,423,327,165,633,091,486,972,281,843,
531,154,162,147,823,334,576,566,628,446,507,502,645,694,390,765,110,118,257,
131,165,382,223,026,690,574,515,975,626,847,531,087,518,451,348,150,776,712,
872,232,770,712,062,877,760,588,418,025,939,063,391,085,189,575,366,561,493,
127,466,262,035,508,739,142,411,592,043,919,499,985,292,152,699,437,784,142,
210,482,578,827,979,977,055,302,212,130,518,712,839,871,226,021,997,698,580,
827,334,848,587,466,760,329,870,568,350,082,339,328,586,500,583,979,206,390,
694,301,568,706,321,130,073,896,494,994,586,493,616,287,789,190,109,517,244,
660,334,557,270,737,690,054,243,131,870,845,572,984,411,067,912,020,478,408,
356,189,929,553,187,543,846,450,366,957,583,628,987,384,250,158,174,758,122,
127,968,385,143,799,932,834,469,659,710,325,368,140,432,077,171,547,515,143,
828,177,683,051,792,724,395,228,267,997,533,903,320,343,775,238,494,403,121,
793,881,423,051,755,443,552,092,996,796,627,042,182,099,489,851,524,470,885,
390,837,537,432,379,055,972,871,569,309,337,075,903,821,417,639,489,830,890,
260,879,988,892,914,673,266,988,392,901,642,218,081,488,985,385,940,642,126,
633,719,342,955,753,645,817,753,945,416,216,145,856,552,460,305,196,714,524,
890,874,258,924,698,923,271,494,342,556,351,101,966,399,518,405,067,070,314,
338,471,614,488,310,730,516,330,191,578,274,785,869,156,092,567,142,439,316,
804,407,985,896,054,938,585,097,888,249,721,002,918,475,935,850,028,791,969,
941,740,771,700,722,996,748,217,330,388,893,233,684,916,167,612,153,818,270,
693,857,145,898,896,673,762,362,661,594,753,159,501,394,786,248,984,952,538,
549,752,104,325,829,798,002,254,167,169,526,561,858,912,920,649,480,047,755,
485,436,340,182,065,345,243,592,301,976,242,675,797,341,092,603,909,265,523,
111,772,836,786,669,306,044,257,308,118,274,246,734,386,369,321,996,201,976,
841,000,270,951,474,123,344,888,610,330,424,173,953,338,411,577,800,077,990,
565,512,613,631,030,103,127,270,806,158,011,231,522,580,228,635,821,106,383,
358,533,356,131,280,012,824,879,681,356,376,470,932,860,621,243,112,066,072,
187,891,475,076,370,074,334,770,114,656,526,027,753,091,164,534,939,123,713,
164,710,891,258,528,136,133,326,054,107,770,884,886,417,360,057,672,163,882,
497,764,314,067,541,130,580,504,872,488,097,526,692,684,607,742,006,095,037,
943,531,476,376,850,645,176,517,211,122,079,822,816,983,877,743,523,922,921,
782,246,482,002,349,308,333,139,829,442,866,084,156,265,349,140,801,457,302,
674,497,928,384,700,064,870,504,669,882,747,222,632,745,883,928,631,746,039,
951,475,303,319,385,130,281,276,499,300,006,492,386,132,243,800,241,960,633,
253,422,315,020,605,065,548,597,355,999,585,245,284,893,186,817,129,163,518,
615,767,292,000,370,845,523,673,436,567,296,914,313,459,694,777,376,600,622,
689,858,414,642,498,022,356,604,949,622,836,971,172,458,502,749,777,275,292,
957,753,619,009,447,288,106,100,246,879,074,253,543,688,917,243,806,052,987,
509,860,947,769,592,309,375,170,647,298,709,829,952,182,428,169,531,982,276,
757,374,083,422,344,388,219,850,747,667,521,744,633,609,872,412,299,808,246,
124,350,509,145,044,345,277,876,623,983,098,086,558,647,050,956,458,995,804,
869,724,314,920,554,360,784,878,404,014,646,602,164,448,262,822,231,432,118,
759,181,134,775,978,978,770,108,448,996,457,151,890,067,468,891,195,904,027,
259,498,517,897,394,912,543,102,264,112,539,073,217,830,334,200,958,020,081,
500,936,875,235,348,465,654,195,998,110,951,075,806,279,917,537,246,674,678,
893,723,452,558,653,676,332,853,568,616,267,192,021,521,474,690,222,864,484,
950,176,222,761,102,388,486,561,597,574,228,268,831,826,724,944,490,614,874,
986,514,918,037,111,177,651,301,842,027,446,340,413,922,895,858,445,956,057,
443,734,865,444,362,074,590,965,863,598,588,596,334,552,661,396,869,119,217,
797,797,186,468,788,581,242,462,815,975,350,067,491,031,460,380,279,681,431,
230,795,421,892,086,287,124,991,322,624,733,170,044,311,867,059,369,175,044,
583,074,755,402,635,305,043,902,664,010,713,613,413,561,116,434,421,272,182,
740,934,200,515,160,836,196,433,843,180,854,243,613,360,369,386,322,321,858,
443,487,912,981,865,733,212,629,223,724,722,458,667,828,909,378,558,612,164,
930,991,362,059,406,640,805,214,090,703,399,883,886,748,643,885,102,070,579,
491,835,876,198,196,274,692,169,193,360,283,910,116,518,159,588,073,222,061,
148,753,561,012,986,528,306,447,306,655,825,351,368,795,712,324,743,912,670,
972,828,830,400,079,070,465,652,908,720,595,504,015,981,646,381,982,023,619,
911,473,735,906,579,750,045,671,213,605,977,020,913,945,048,746,449,950,569,
446,390,108,189,535,992,180,364,811,675,088,719,594,384,773,523,603,978,604,
458,007,485,510,104,816,190,098,245,472,265,951,167,128,767,121,675,049,271,
724,928,594,047,505,438,641,520,667,792,437,408,231,059,182,141,519,556,482,
021,055,880,120,738,084,062,556,903,479,074,448,431,341,823,638,345,786,002,
001,315,437,655,749,567,138,791,478,679,099,949,183,265,696,525,357,401,577,
329,083,369,413,459,871,748,652,385,674,784,128,219,410,279,462,109,848,726,
836,203,325,817,437,629,857,949,471,441,130,152,352,657,261,094,672,626,588,
814,042,907,894,474,111,705,963,265,493,690,458,766,565,453,446,584,517,941,
113,543,044,130,622,942,554,323,991,631,109,098,562,896,733,244,508,564,565,
713,314,778,386,442,657,791,247,771,408,585,737,202,085,622,161,391,315,427,
138,486,390,290,323,045,116,534,687,338,164,771,592,204,259,627,322,513,504,
031,088,567,642,833,335,843,116,536,907,319,980,995,592,936,649,959,780,817,
535,532,922,024,955,595,651,789,232,797,421,794,768,487,100,715,530,929,470,
937,373,300,565,259,604,250,970,694,049,003,730,407,085,175,039,065,197,785,
267,900,850,066,702,878,165,035,563,613,976,356,327,055,279,799,074,039,654,
348,232,959,792,057,613,211,181,595,644,571,506,695,167,098,611,175,218,272,
871,900,670,312,005,894,087,618,692,655,504,679,859,181,652,473,330,912,279,
290,345,192,107,401,664,188,433,555,298,205,959,655,146,264,768,946,747,385,
613,821,695,770,268,504,675,042,060,200,083,013,875,903,421,180,479,971,700,
548,744,157,020,950,411,164,752,283,132,581,247,177,902,502,249,214,283,256,
913,276,115,105,509,555,959,923,663,256,119,154,471,607,289,595,426,437,268,
810,108,392,770,026,072,599,350,693,191,298,993,421,917,059,609,836,343,478,
893,515,835,128,587,774,240,264,486,028,227,571,960,350,787,487,778,902,111,
034,482,993,880,579,614,390,823,555,799,030,572,887,021,616,923,159,092,745,
811,482,530,404,493,405,860,237,023,192,180,546,988,122,430,172,646,499,309,
235,919,021,620,285,197,739,343,830,810,901,038,903,786,404,022,685,320,170,
309,002,209,029,285,318,062,550,532,043,804,131,158,520,631,438,733,337,031,
760,628,233,402,354,720,005,308,103,264,855,505,675,910,099,882,081,230,899,
716,477,163,170,223,579,218,710,267,816,940,461,149,109,499,522,320,230,993,
159,631,235,753,691,050,487,433,958,435,788,159,393,112,231,906,812,015,909,
450,887,497,004,459,940,511,686,097,445,598,608,599,250,501,748,764,293,593,
581,494,941,630,023,106,389,888,208,031,834,763,450,149,546,474,234,975,975,
352,378,413,494,734,695,909,717,134,607,252,250,256,516,016,509,566,033,889,
124,563,372,284,393,433,301,892,389,220,041,702,862,617,107,258,166,806,869,
859,586,290,406,037,994,730,307,268,135,340,566,313,159,638,461,637,807,849,
687,494,782,360,924,323,622,014,327,052,623,821,293,113,490,846,141,684,125,
666,524,846,714,494,078,554,072,139,430,965,889,225,402,632,943,240,032,388,
355,516,284,437,078,721,538,232,816,563,162,615,648,465,309,164,218,681,837,
383,934,198,870,944,006,627,207,064,854,328,569,252,962,353,405,172,821,894,
182,571,619,327,202,888,273,728,089,996,346,225,516,944,068,071,787,576,936,
526,805,408,652,212,878,661,436,186,696,231,194,223,446,417,394,394,301,226,
938,078,722,367,214,870,816,037,457,634,232,816,510,182,054,091,924,025,864,
096,987,482,633,260,775,688,714,757,132,200,622,238,794,731,563,567,122,442,
642,121,133,684,979,625,147,909,712,257,463,522,424,242,074,029,816,334,098,
223,888,111,153,830,417,543,869,451,162,835,619,642,008,453,392,147,605,438,
516,882,926,740,757,180,418,813,645,766,137,339,348,026,190,193,055,592,647,
361,149,744,806,571,614,746,456,009,403,325,011,097,074,671,272,314,085,581,
485,917,261,242,233,162,119,714,018,468,287,015,465,481,170,652,786,552,129,
405,307,707,694,108,693,121,690,369,174,465,639,563,473,713,205,079,555,336,
615,762,637,137,610,204,408,547,995,416,637,888,100,456,009,480,126,787,063,
076,591,808,885,380,741,230,048,307,318,582,967,229,245,622,380,703,477,115,
498,285,242,518,904,636,165,852,122,574,149,201,271,613,963,973,153,424,703,
340,129,543,108,650,203,625,833,558,758,119,463,957,427,699,581,969,714,865,
604,639,690,680,095,137,893,617,985,967,861,295,011,335,899,404,296,848,574,
305,263,659,186,423,898,511,813,045,639,448,096,186,761,986,732,536,149,123,
652,505,504,961,950,859,420,367,273,448,440,328,246,775,311,461,919,259,033,
625,861,612,047,116,256,457,763,334,514,712,636,808,132,220,916,164,964,231,
740,538,222,887,116,309,986,259,951,833,082,304,140,851,048,235,037,401,708,
245,078,722,248,046,077,600,792,259,595,761,099,214,046,546,934,366,916,235,
011,458,381,808,745,697,927,660,899,305,059,495,632,928,885,925,543,724,020,
920,714,868,767,299,168,294,519,899,698,446,309,008,805,206,521,905,572,272,
193,223,963,536,697,759,189,020,682,180,979,018,203,250,112,160,435,552,656,
011,900,982,345,715,465,336,505,990,834,981,487,263,735,157,161,563,473,355,
046,131,022,913,502,520,053,156,484,718,323,800,680,226,504,540,117,221,549,
195,577,869,799,431,155,565,773,986,800,468,915,001,844,760,370,171,868,584,
310,918,503,739,626,771,249,691,768,151,106,839,854,106,678,466,089,976,455,
102,506,890,486,689,148,488,637,806,393,962,010,136,158,899,791,794,828,703,
988,856,752,178,156,701,593,593,461,941,230,673,288,302,384,620,005,246,979,
034,053,530,210,958,801,164,132,843,533,369,255,145,852,236,253,932,088,540,
795,844,425,257,563,050,649,750,254,472,271,583,418,455,696,821,285,067,215,
187,771,299,557,914,714,361,991,234,025,699,318,389,938,374,876,753,157,666,
676,576,132,856,647,957,167,465,482,694,854,461,030,091,598,836,970,717,118,
860,757,081,514,256,369,937,134,447,025,265,491,726,857,838,600,553,360,947,
087,586,065,746,125,091,923,332,546,011,161,392,962,834,873,724,970,114,311,
511,192,072,306,896,228,770,273,791,433,310,897,209,826,512,212,973,942,403,
521,317,709,889,645,195,018,179,098,952,401,010,946,056,263,658,788,097,600,
473,733,511,349,239,419,256,907,842,888,812,651,083,707,626,089,839,882,550,
157,902,264,615,535,738,170,403,482,896,233,093,106,575,341,304,675,349,164,
603,471,034,596,055,917,239,301,014,172,678,374,343,778,780,061,852,063,530,
873,295,776,688,779,296,020,157,404,640,464,188,783,939,012,262,241,526,296,
009,042,191,654,788,175,932,332,985,956,060,895,807,046,672,188,452,242,566,
932,770,581,237,948,492,094,314,443,984,795,428,779,741,015,718,433,573,464,
018,104,359,014,588,083,590,340,969,334,188,780,058,072,352,611,620,399,516,
219,592,644,443,456,744,938,365,600,478,320,888,112,337,157,831,646,607,422,
898,163,671,388,878,063,054,290,672,244,141,222,615,421,012,336,933,191,918,
498,925,491,570,093,868,700,590,129,673,083,320,264,282,961,696,088,619,853,
650,908,282,016,164,179,647,906,419,123,865,550,790,094,339,458,986,572,029,
074,920,535,246,666,178,446,607,471,182,422,857,534,419,878,598,533,669,066,
099,231,245,571,431,357,547,142,831,080,683,445,911,506,783,893,917,781,175,
232,905,976,345,671,618,726,148,071,755,148,524,075,273,409,084,461,441,470,
821,774,005,490,734,231,960,431,946,898,037,753,010,993,640,823,013,861,699,
638,644,054,096,050,957,662,118,714,924,184,685,759,632,549,094,706,365,274,
473,425,796,116,681,274,918,211,168,865,472,648,317,696,776,510,319,212,217,
762,863,420,805,332,295,464,339,948,911,337,067,561,614,515,282,218,564,097,
193,822,975,932,737,957,037,151,012,769,613,094,882,649,285,930,392,839,149,
030,970,269,088,157,492,527,536,708,298,624,608,020,510,629,953,685,755,995,
855,953,112,744,539,449,966,586,738,578,567,530,799,420,823,615,520,211,613,
096,464,618,174,671,593,290,547,246,201,237,911,437,283,285,120,246,251,808,
710,718,377,732,337,699,561,057,310,285,401,134,375,445,585,491,582,115,274,
573,506,162,227,740,970,698,643,621,670,144,325,490,307,801,808,941,513,552,
140,782,116,883,459,625,549,879,829,648,395,436,063,582,444,562,593,910,570,
735,764,412,382,182,839,590,153,143,491,320,611,362,899,955,161,102,358,328,
627,242,391,341,977,141,248,433,545,341,504,055,952,048,440,475,959,493,373,
230,893,847,042,846,189,774,322,914,123,940,847,564,182,604,705,501,856,499,
882,153,039,054,108,496,428,903,487,913,694,582,601,692,388,270,072,402,745,
423,834,679,818,918,991,444,012,756,405,451,679,942,222,773,149,686,155,275,
481,730,588,769,987,177,569,776,166,192,745,330,494,798,778,087,175,412,557,
001,008,973,311,359,932,364,924,218,077,969,303,248,659,538,854,995,108,143,
895,740,297,216,967,140,662,961,817,030,848,005,377,819,382,104,799,693,034,
863,476,776,873,172,991,835,096,702,926,319,063,861,593,279,938,207,912,219,
030,194,412,680,460,518,364,216,312,587,430,311,954,795,596,144,654,493,889,
982,474,416,914,853,098,142,496,011,382,517,440,624,436,870,239,728,604,724,
246,945,667,822,466,937,889,087,097,524,993,999,769,034,460,651,937,897,069,
082,512,333,560,020,130,402,738,139,767,191,384,012,232,607,983,599,107,385,
807,698,295,922,755,309,645,382,016,105,065,123,253,359,716,724,505,964,699,
067,248,227,940,922,754,999,094,227,206,354,972,950,350,615,128,435,878,158,
231,532,119,631,149,867,365,126,689,834,664,924,741,824,858,506,636,678,826,
860,881,677,933,581,124,458,156,104,859,119,952,475,184,685,129,519,328,323,
053,781,632,410,696,138,843,197,815,975,685,999,993,025,885,431,564,171,741,
094,268,574,824,358,127,322,885,096,204,482,936,355,950,422,105,224,701,184,
552,399,938,352,349,022,102,439,381,423,066,021,621,534,711,186,146,054,681,
105,652,727,347,370,653,672,922,444,568,856,599,542,139,865,928,793,276,507,
004,042,404,284,241,916,048,317,825,312,306,987,714,771,394,536,900,603,199,
368,428,849,254,907,818,114,730,914,812,889,312,157,762,883,249,552,737,452,
545,699,947,374,846,392,701,377,105,194,480,650,408,458,815,855,734,995,470,
362,477,129,634,970,713,409,748,706,653,644,974,548,653,312,382,345,788,685,
417,252,622,089,524,071,420,104,481,152,671,908,302,686,316,871,237,237,932,
186,963,697,275,979,153,677,480,946,737,837,199,210,678,321,472,118,841,932,
639,118,209,481,950,662,302,538,632,463,977,719,416,463,688,291,459,620,231,
883,641,990,469,249,549,830,025,757,808,224,585,817,079,395,947,361,092,777,
874,923,042,783,599,705,733,189,206,772,928,053,252,431,033,780,106,551,323,
091,061,503,417,407,994,674,046,831,607,255,012,100,052,930,752,735,595,101,
592,539,262,583,205,258,521,427,907,180,356,751,355,373,716,217,040,173,681,
768,255,176,662,622,328,651,920,727,991,131,897,924,434,430,395,620,850,059,
839,409,553,792,795,986,466,291,545,722,112,107,966,292,783,396,542,879,993,
117,064,784,771,417,792,953,316,971,464,030,369,670,716,181,306,393,939,336,
490,791,594,164,967,966,713,844,250,014,021,427,974,412,343,038,946,538,946,
491,666,814,147,713,896,693,294,369,616,685,293,633,686,666,459,827,255,533,
004,814,099,042,479,146,318,104,502,065,223,414,425,093,438,906,474,848,700,
156,520,676,498,890,021,643,079,118,771,792,663,396,096,118,527,738,610,035,
842,337,049,304,308,490,929,331,215,130,461,025,328,240,633,770,543,940,749,
449,659,973,256,786,037,466,119,760,014,757,914,574,946,544,358,310,814,344,
009,196,848,048,650,011,626,913,306,410,100,380,073,901,277,347,226,149,628,
741,781,175,336,247,002,481,254,376,581,119,878,917,885,175,305,174,806,241,
703,357,400,055,665,300,181,114,523,776,728,069,894,404,769,838,196,478,329,
117,280,756,721,477,880,885,974,499,357,880,612,008,809,471,638,190,056,087,
510,172,267,721,738,371,578,822,553,920,116,382,695,749,492,464,773,115,835,
822,269,722,169,545,159,043,477,638,196,885,248,986,988,436,125,254,749,512,
622,234,284,283,776,382,236,549,561,243,009,873,561,676,612,314,657,603,541,
403,406,163,901,332,112,340,000,247,676,335,235,844,169,110,834,038,679,028,
389,596,900,075,069,458,768,921,443,185,121,440,609,376,886,576,252,063,706,
774,912,063,031,725,105,042,004,840,940,213,127,973,220,674,546,987,456,714,
458,465,748,323,985,121,178,023,038,829,854,587,018,320,013,556,778,332,730,
272,189,232,911,520,431,155,275,750,973,284,545,471,973,794,467,294,677,082,
876,189,695,821,043,048,585,132,647,008,775,212,917,639,285,604,070,194,900,
158,803,084,394,012,775,545,431,842,832,737,530,065,540,692,508,809,719,267,
513,602,442,355,832,333,743,841,816,683,906,778,030,896,438,934,000,506,611,
611,958,831,348,285,667,844,980,667,834,649,571,613,799,083,326,595,102,923,
706,343,349,206,731,509,794,501,711,126,773,084,036,872,270,719,338,809,600,
372,300,465,710,932,382,048,986,671,074,753,917,113,371,837,557,515,419,485,
639,904,008,165,249,685,777,784,251,696,114,432,959,589,587,111,888,565,399,
831,157,665,580,512,233,643,563,383,580,351,615,730,285,861,243,351,352,362,
857,575,066,909,221,024,322,055,637,225,774,715,645,274,100,283,516,897,656,
540,039,220,098,116,069,086,703,565,915,294,317,417,533,211,527,179,378,937,
245,076,434,805,598,666,284,696,011,532,330,036,385,185,656,825,448,236,711,
610,355,749,602,324,988,692,074,454,384,391,429,403,259,104,839,061,302,330,
785,387,422,022,442,235,423,482,109,233,108,439,400,617,948,100,540,033,435,
737,531,684,701,051,094,226,165,073,520,103,411,203,053,059,219,846,578,261,
686,970,500,470,262,031,552,611,396,741,500,181,765,184,142,317,003,628,412,
063,499,016,991,708,564,435,783,580,911,596,469,155,518,622,064,650,565,554,
107,068,662,660,299,377,507,898,138,761,934,344,745,133,031,021,510,042,052,
506,654,410,806,960,966,437,950,019,630,945,452,521,876,814,443,193,209,886,
645,414,808,331,638,588,041,225,319,899,733,380,969,721,187,581,960,864,641,
172,797,546,230,708,418,605,392,419,027,882,129,268,816,899,479,664,182,287,
480,427,853,629,333,729,993,127,256,014,940,433,912,729,436,374,427,272,421,
160,999,089,114,894,188,536,824,887,124,975,652,430,556,047,116,759,282,778,
533,869,159,429,332,662,185,220,005,044,717,442,967,685,210,919,259,699,810,
162,125,012,586,851,359,129,892,529,300,130,623,567,500,684,291,417,647,003,
791,654,177,654,002,778,692,640,244,407,202,373,046,843,793,229,338,116,765,
153,991,424,116,966,440,193,337,030,761,625,707,066,408,214,488,565,802,794,
447,178,188,379,153,884,895,437,674,527,864,358,930,852,559,748,839,127,420,
089,245,886,875,159,678,142,342,474,817,380,888,572,730,783,442,746,493,356,
619,975,204,648,595,845,222,640,174,867,384,792,072,722,679,842,006,888,607,
267,085,530,031,457,563,611,415,239,668,561,153,351,553,881,538,286,362,980,
455,281,140,270,818,497,215,098,657,732,017,010,472,094,398,216,826,891,032,
319,447,778,885,123,136,315,781,334,673,584,492,727,068,522,108,206,844,726,
674,995,514,860,686,184,991,231,271,475,116,410,601,241,556,113,321,218,392,
364,529,914,720,051,541,140,589,850,002,370,634,138,071,054,131,300,032,133,
129,562,033,325,996,344,089,620,823,318,776,702,849,969,885,681,374,250,313,
397,555,625,855,814,686,697,482,299,196,850,069,718,888,693,657,834,530,190,
762,404,288,455,328,474,834,379,468,968,092,338,478,435,864,181,012,431,354,
501,534,847,851,343,790,681,130,250,216,976,090,305,582,287,125,834,191,493,
883,412,717,707,047,443,021,247,817,429,813,464,280,771,117,322,116,338,824,
208,187,140,418,130,419,099,681,196,551,160,208,148,579,642,910,784,926,167,
796,060,633,481,026,015,088,572,129,187,994,238,127,453,507,753,186,876,865,
204,151,097,109,309,985,788,010,872,668,791,305,204,982,967,080,041,478,358,
623,396,084,813,083,249,915,925,463,978,138,881,951,851,623,202,554,943,367,
924,855,509,194,830,535,529,503,302,799,987,051,475,997,071,015,485,948,790,
035,751,078,774,498,844,465,987,120,252,658,570,704,795,941,451,092,918,108,
459,334,139,791,801,886,896,944,224,604,571,587,811,974,119,644,758,695,767,
051,390,999,800,880,811,089,148,137,639,270,302,865,594,905,502,707,690,626,
396,156,769,678,520,029,127,829,851,072,647,829,505,053,204,022,466,425,569,
238,046,333,586,703,845,709,197,567,091,773,132,541,353,003,427,791,963,790,
481,905,662,707,898,648,694,445,295,023,257,203,006,104,529,745,177,489,659,
834,374,865,833,959,925,255,278,277,274,189,618,646,193,218,223,545,271,547,
887,820,187,003,151,388,063,150,120,915,047,829,709,294,855,844,094,156,168,
061,745,788,474,170,643,678,846,851,387,337,463,406,639,294,561,182,747,834,
734,840,659,191,391,918,890,611,185,556,359,121,840,405,353,459,236,515,821,
641,112,971,493,259,102,254,223,331,831,918,900,247,059,990,582,825,121,295,
798,750,826,539,654,130,086,854,941,363,509,035,598,375,103,819,241,963,559,
805,950,126,508,561,905,688,451,744,032,655,790,214,333,805,636,612,250,359,
264,504,932,193,189,934,675,475,657,121,782,820,969,161,613,644,650,314,730,
471,586,876,236,707,878,765,430,387,473,453,473,274,244,901,506,287,245,686,
333,703,870,208,963,735,282,207,181,327,250,169,861,198,388,551,060,952,326,
159,582,033,506,641,272,727,664,572,461,027,686,197,997,537,908,371,026,522,
295,619,039,210,461,290,015,093,882,486,018,668,001,849,187,387,630,459,115,
792,532,521,330,298,899,232,669,001,148,525,824,953,396,154,096,275,550,921,
825,459,464,334,749,896,316,752,636,234,078,076,090,006,807,573,031,730,560,
199,658,239,232,389,606,440,035,510,150,487,204,909,782,322,610,917,913,506,
764,213,641,519,245,002,456,738,193,905,914,876,974,215,107,761,057,593,215,
562,991,391,388,615,465,496,357,346,609,371,318,650,025,785,153,891,066,476,
681,204,994,332,481,470,890,743,160,881,502,719,643,292,382,352,946,823,185,
000,799,894,877,538,483,654,525,875,692,744,677,129,842,119,912,353,054,748,
049,371,826,623,287,358,545,039,943,919,568,720,290,128,260,691,087,675,354,
492,493,639,104,585,309,681,091,300,298,859,398,630,393,726,853,822,937,025,
268,222,475,515,008,470,817,326,005,295,341,025,975,974,338,767,740,356,765,
165,187,031,894,921,236,343,549,915,918,259,991,712,477,662,048,740,516,430,
890,766,824,270,617,208,722,488,284,350,967,510,038,042,185,377,782,433,613,
469,020,294,288,642,183,159,029,147,317,116,085,183,186,239,268,799,410,007,
330,752,995,724,714,541,622,902,218,603,228,657,698,457,304,606,832,182,745,
771,981,296,933,222,569,559,827,672,335,074,229,001,434,688,876,452,731,743,
650,473,803,127,557,132,056,263,147,707,635,193,016,002,517,668,634,319,621,
278,745,069,715,106,562,633,319,546,901,081,665,040,269,203,748,870,384,328,
946,270,076,478,756,601,101,786,648,149,249,946,148,305,606,791,290,591,337,
743,349,906,712,906,565,829,145,258,995,486,988,535,224,303,806,983,778,245,
478,189,003,934,312,725,949,739,035,767,234,099,272,952,472,405,094,619,569,
116,339,336,357,308,222,740,536,283,546,876,023,476,979,089,063,746,645,470,
120,362,749,704,136,550,346,428,844,664,483,786,640,478,687,996,622,007,938,
490,286,272,982,631,473,805,680,748,682,363,320,230,793,987,834,624,453,441,
161,628,943,294,453,905,436,200,032,504,158,119,303,555,761,123,089,703,678,
565,992,141,279,212,010,920,488,829,318,874,734,961,868,634,877,955,972,535,
854,662,972,780,639,584,631,515,821,212,517,099,406,981,310,370,711,386,499,
742,596,049,427,762,169,655,904,706,337,264,416,663,775,090,270,445,863,463,
641,306,878,584,308,055,040,396,159,375,820,526,674,350,720,018,214,127,058,
605,200,862,715,798,363,554,710,462,167,647,300,404,988,917,717,097,144,861,
287,901,435,180,666,256,108,420,830,148,171,199,620,006,735,188,175,326,862,
968,437,326,947,261,588,646,745,556,849,767,913,444,594,039,926,917,353,386,
661,202,394,908,761,816,836,173,433,077,968,011,633,291,154,532,214,121,066,
302,285,507,417,485,143,125,314,835,682,738,196,835,452,974,343,751,913,610,
453,683,163,841,197,617,510,893,781,691,133,414,523,229,662,958,143,206,733,
456,137,934,346,578,560,185,906,425,294,159,571,101,408,997,914,398,063,956,
307,563,925,299,613,626,856,937,812,473,912,205,585,963,027,282,206,088,741,
222,366,734,454,167,703,450,470,958,472,530,248,426,819,289,517,132,457,793,
139,642,073,277,036,014,795,397,722,258,211,029,899,005,463,718,238,198,267,
239,073,401,616,999,687,709,150,030,928,790,744,394,688,401,980,843,179,941,
064,937,937,309,376,708,451,461,513,321,939,276,269,975,051,824,043,329,233,
106,416,947,838,097,192,125,803,205,628,732,771,325,113,419,770,997,974,936,
630,866,810,666,241,080,067,971,754,797,540,544,389,460,711,903,379,033,604,
933,364,864,852,055,386,153,940,428,599,146,867,219,069,936,130,731,985,164,
282,901,753,388,213,892,226,556,073,050,966,718,103,877,173,981,159,754,030,
329,337,830,847,572,494,708,350,871,716,425,986,739,241,546,658,858,269,816,
829,775,407,028,672,794,836,984,511,083,253,250,059,935,947,191,096,963,486,
415,776,639,845,931,150,740,632,176,721,982,241,953,395,021,748,662,629,004,
377,770,170,182,714,193,988,736,568,336,885,564,626,181,020,827,020,556,066,
464,151,296,526,852,670,938,087,383,276,265,604,030,275,059,864,423,981,019,
526,139,423,421,051,251,200,328,449,084,819,427,868,451,397,477,648,258,822,
410,147,845,414,885,729,125,391,447,926,905,997,058,402,135,380,257,247,286,
188,443,701,190,131,662,823,493,106,875,124,435,594,158,451,658,198,409,943,
549,381,886,789,050,073,024,512,648,228,251,427,926,755,044,019,912,560,233,
805,481,094,405,752,891,664,172,471,593,236,346,062,960,497,016,777,227,208,
672,911,116,872,496,419,147,259,754,076,929,143,333,569,513,996,843,069,028,
876,971,111,431,589,068,256,765,118,920,532,287,851,371,392,012,896,553,697,
984,138,473,776,597,944,322,818,014,621,795,753,331,512,976,056,471,463,379,
519,179,103,016,554,635,876,996,868,085,800,283,536,591,306,111,535,078,594,
939,629,953,847,915,484,707,627,136,567,685,457,993,588,257,999,041,223,602,
584,760,538,637,024,569,437,908,977,902,465,737,352,993,529,192,351,972,250,
294,617,515,482,795,206,766,153,875,440,689,960,918,345,949,337,423,677,104,
683,926,398,708,294,537,158,520,383,875,737,231,004,700,929,140,956,369,893,
746,582,106,948,623,048,782,869,545,374,536,921,723,282,644,406,313,739,113,
638,089,147,017,262,455,448,100,148,771,194,679,772,141,300,663,817,826,504,
225,436,282,431,420,753,914,820,235,567,473,915,802,492,566,676,134,682,091,
289,384,483,409,974,504,712,514,900,574,280,957,209,004,287,056,122,271,843,
682,054,832,647,044,819,362,554,954,403,720,113,889,941,768,111,946,144,376,
625,863,420,952,536,619,645,395,894,450,203,658,095,046,063,964,148,242,452,
298,677,558,523,302,245,093,482,746,654,631,482,311,272,325,035,382,986,545,
005,004,893,183,803,766,960,046,031,817,906,779,999,190,874,277,376,567,970,
429,022,001,051,160,603,954,277,521,306,126,877,657,704,696,073,931,079,844,
062,220,145,681,884,196,917,374,196,146,990,839,624,619,446,641,839,645,327,
428,757,742,754,290,136,020,446,112,935,626,191,462,082,621,174,721,175,822,
720,110,405,467,287,037,210,579,842,636,355,236,770,021,675,913,472,685,608,
458,965,011,994,009,118,213,077,614,783,172,160,820,930,640,837,092,829,456,
918,390,480,526,184,868,734,678,761,567,262,805,620,708,262,340,595,489,413,
122,456,413,834,044,006,382,697,670,888,617,015,923,629,279,946,010,169,869,
252,759,312,621,233,040,150,346,969,600,292,189,261,326,292,877,638,323,480,
399,191,122,647,304,320,939,769,826,264,921,386,303,041,494,800,341,761,720,
723,701,423,890,586,921,917,281,593,801,098,122,212,944,933,529,921,451,032,
364,421,759,249,731,131,076,858,700,205,581,291,228,139,329,472,465,589,680,
385,224,667,455,287,346,453,928,726,206,314,031,199,331,420,468,926,478,076,
512,475,203,511,802,881,777,818,286,293,825,879,064,395,242,704,374,029,202,
135,043,375,922,984,576,720,779,715,035,732,314,676,670,681,301,609,718,426,
035,056,303,803,632,067,377,534,946,777,553,665,981,886,788,989,948,009,821,
736,115,322,676,146,542,120,048,516,757,993,809,010,203,674,743,579,309,518,
879,041,161,598,208,292,766,721,661,466,098,632,553,213,535,266,498,309,140,
678,427,800,390,339,785,977,203,712,101,250,569,714,042,949,310,474,255,431,
636,812,654,442,537,673,151,901,102,902,321,222,119,556,800,047,686,773,257,
205,516,909,969,088,154,935,579,075,808,880,241,428,247,990,867,833,359,940,
854,412,740,936,820,383,082,695,246,076,504,383,889,374,507,858,099,716,780,
774,128,515,828,804,342,520,133,615,437,836,384,474,574,009,923,186,315,048,
565,529,160,311,767,373,964,058,974,585,002,149,970,006,901,588,012,601,986,
705,318,531,190,964,207,298,142,900,871,951,768,648,468,004,582,958,918,560,
391,939,199,556,056,555,562,088,112,550,397,171,440,100,168,729,155,416,279,
332,603,377,862,170,528,993,804,206,423,919,267,156,007,090,688,962,865,298,
615,276,850,922,927,130,456,794,073,776,386,667,657,530,325,887,373,481,026,
641,608,838,109,676,903,892,276,735,670,346,120,733,883,156,157,020,070,872,
463,186,287,162,001,975,504,425,023,623,775,250,275,172,401,430,164,693,225,
435,405,131,267,104,461,903,018,041,547,563,705,903,625,979,149,679,263,893,
762,711,457,928,755,080,246,179,979,357,347,397,535,189,670,477,951,317,758,
685,674,040,463,387,744,329,523,514,944,669,561,571,147,336,219,853,151,218,
817,232,698,765,194,095,252,878,072,237,236,057,600,282,426,702,987,642,848,
029,516,571,067,538,044,643,657,039,580,681,896,541,818,863,023,845,197,296,
933,213,169,432,601,073,579,440,491,244,341,545,380,345,062,887,149,285,642,
818,085,401,878,407,164,452,470,571,687,366,782,277,651,660,472,123,240,898,
800,815,822,098,482,505,909,004,089,184,607,553,542,284,350,166,201,211,077,
671,683,769,072,290,026,386,670,739,987,075,487,815,209,546,057,954,610,025,
022,162,450,689,709,238,409,263,629,363,700,703,841,678,029,400,259,481,470,
383,031,189,185,166,513,293,506,612,600,764,429,807,925,463,115,485,402,139,
454,547,002,765,576,926,498,361,606,153,867,955,529,776,203,759,123,638,690,
716,835,708,125,875,457,044,796,231,089,655,171,034,100,989,043,195,055,324,
193,979,555,923,487,644,650,739,831,456,438,960,569,631,168,799,019,050,993,
007,056,046,655,739,634,131,701,894,088,543,745,814,852,566,308,195,682,700,
605,368,154,237,902,300,975,663,119,310,085,768,781,098,222,690,725,933,356,
663,561,432,674,383,764,415,497,872,617,556,756,854,094,158,720,104,839,244,
145,073,551,498,613,944,942,972,145,415,382,674,075,224,192,579,891,368,528,
415,372,751,387,574,244,436,272,701,891,822,385,276,868,114,313,741,438,511,
984,490,083,722,542,748,268,714,154,861,232,281,320,968,638,860,123,679,429,
963,622,567,935,448,742,373,118,831,620,858,626,375,839,968,578,455,807,475,
200,418,650,914,108,337,057,165,611,462,619,674,459,755,516,636,208,581,171,
394,710,209,962,953,839,729,851,020,381,547,723,310,255,908,297,401,916,314,
355,179,600,129,614,349,976,012,704,277,538,309,961,882,568,743,876,007,650,
178,858,276,808,134,154,067,842,607,441,746,774,981,867,529,694,352,490,023,
449,789,848,511,213,174,273,795,144,904,427,948,948,984,354,003,836,862,821,
882,695,096,137,066,532,189,253,362,806,115,146,261,147,593,809,691,515,858,
005,339,997,834,198,905,779,662,509,861,230,774,339,117,859,408,961,432,175,
410,817,305,989,331,703,411,880,906,413,566,348,938,407,468,605,738,532,441,
241,602,213,315,966,489,878,693,383,602,668,594,449,238,038,635,059,017,098,
318,218,738,437,887,241,830,002,924,193,579,634,586,546,275,680,675,762,064,
964,484,602,985,630,262,880,256,844,676,688,403,678,292,289,902,459,223,860,
895,989,230,703,235,274,794,467,858,182,707,732,326,385,253,690,736,528,336,
464,562,671,532,578,703,026,272,115,598,872,495,841,263,094,885,492,073,444,
430,024,110,658,048,033,938,786,028,427,727,578,907,271,153,158,539,412,385,
902,325,688,901,415,575,958,731,406,876,670,751,502,299,627,424,667,376,827,
422,118,060,703,756,111,441,047,408,240,116,063,085,844,818,153,010,612,009,
458,267,968,029,261,036,296,338,533,279,154,293,467,789,156,976,025,595,252,
363,315,953,330,245,568,331,588,841,900,438,095,887,905,904,200,208,227,424,
383,272,634,754,908,155,594,033,584,460,985,059,379,276,875,263,030,530,473,
406,090,674,377,067,852,578,100,768,621,941,711,453,005,137,691,527,173,986,
710,661,229,157,039,245,336,667,762,025,740,487,915,232,083,679,117,442,865,
788,104,830,977,448,737,136,519,122,547,070,653,852,082,204,088,240,404,792,
164,355,934,440,449,239,581,160,970,875,697,909,375,699,182,996,813,014,500,
657,777,079,606,026,716,846,810,386,288,435,173,741,364,343,369,182,067,846,
121,187,298,036,092,556,677,641,504,322,821,032,352,838,392,179,742,103,107,
137,408,203,211,055,056,959,048,162,119,854,682,060,094,100,469,199,074,722,
202,087,977,873,342,636,671,008,715,230,377,727,090,832,347,936,549,065,780,
820,185,627,442,607,285,698,806,900,374,639,758,842,256,511,171,299,148,396,
991,429,798,033,655,641,344,030,574,542,496,134,432,997,256,306,983,631,918,
892,553,083,187,953,083,917,888,726,240,361,482,125,543,623,620,758,085,277,
857,309,497,858,929,026,709,436,940,110,345,583,532,240,455,922,966,556,090,
862,406,552,287,306,476,997,358,684,007,447,639,672,943,476,521,549,175,752,
200,048,462,957,597,437,130,676,170,102,010,015,587,109,271,683,294,923,225,
612,657,326,964,629,932,763,238,637,005,090,073,684,258,124,592,283,614,223,
551,966,940,739,297,043,443,638,258,756,071,960,403,358,447,764,779,963,010,
393,442,651,791,452,485,802,409,662,404,165,754,065,818,899,936,455,862,923,
189,145,191,556,897,059,917,782,966,423,335,598,810,814,233,467,244,432,201,
882,452,168,293,155,137,198,215,291,312,373,338,069,640,647,800,733,025,755,
463,372,218,970,016,670,226,335,712,208,856,392,069,736,946,823,070,460,632,
519,250,394,296,808,662,102,126,934,779,418,863,571,682,348,402,804,827,492,
552,085,977,972,528,137,509,054,400,854,372,260,207,840,474,911,266,376,681,
134,993,620,800,799,461,089,822,492,550,943,236,184,240,001,254,123,178,737,
313,400,897,248,460,421,815,373,460,060,776,278,472,364,736,378,438,703,022,
764,523,607,295,990,850,990,764,817,821,469,941,843,958,258,429,863,460,543,
394,729,454,913,056,986,295,708,519,509,285,558,933,137,982,761,280,232,857,
252,782,338,506,509,663,303,846,218,143,058,163,628,563,852,109,795,396,225,
693,407,644,245,681,960,569,668,161,473,843,137,419,517,497,657,175,336,432,
215,427,080,599,361,960,719,229,369,708,120,008,459,987,543,359,091,784,740,
921,107,327,803,279,363,225,038,680,881,905,542,272,347,560,944,628,848,658,
968,456,474,264,452,075,751,724,801,333,120,148,373,049,441,267,885,310,686,
200,865,995,786,703,056,218,477,527,559,142,769,613,188,367,158,423,491,547,
689,454,988,585,430,796,469,811,283,635,982,632,036,710,806,642,580,629,717,
208,440,977,110,707,143,488,849,108,478,772,159,737,540,689,919,154,184,174,
559,731,041,760,901,589,251,348,536,660,175,930,515,509,764,107,054,507,528,
500,257,020,865,302,538,284,803,437,746,606,427,411,901,508,434,664,645,141,
093,286,496,121,809,619,844,147,821,786,983,559,848,149,145,110,376,229,892,
419,616,613,493,887,431,115,857,874,881,035,318,850,273,423,863,795,223,699,
829,076,003,845,791,402,297,743,328,374,491,814,496,001,803,061,762,650,450,
907,224,146,435,194,547,575,390,408,852,678,072,182,760,286,115,260,122,610,
491,885,786,702,982,536,130,065,825,883,613,743,843,314,162,456,274,737,551,
726,278,455,721,071,513,452,023,429,447,486,242,620,064,649,577,333,298,639,
739,144,739,722,854,739,519,067,936,246,062,288,534,739,544,922,972,971,999,
367,891,333,331,343,712,822,448,060,769,203,745,816,105,486,757,192,553,884,
592,578,841,893,933,327,914,958,265,625,012,621,760,295,632,983,681,435,695,
091,943,577,231,772,093,221,869,060,134,751,159,240,950,265,550,764,386,551,
811,581,565,282,758,853,584,821,431,616,113,525,172,575,480,469,531,508,078,
798,577,983,172,404,014,887,619,527,826,228,583,123,063,444,384,728,367,867,
742,033,364,479,634,827,872,269,116,240,867,139,505,534,611,988,761,140,533,
051,623,098,700,159,881,910,346,584,931,141,979,923,466,575,021,172,710,859,
539,363,661,957,975,944,791,449,103,346,093,333,572,127,369,099,393,741,701,
223,545,084,614,556,389,107,848,267,752,959,567,586,481,863,125,046,963,022,
070,232,248,674,976,561,650,225,499,115,340,900,027,406,034,053,550,895,422,
387,417,539,648,858,224,578,783,613,852,143,325,640,513,543,385,687,280,601,
260,019,046,475,809,116,568,938,174,163,564,890,922,434,314,288,947,351,816,
353,866,987,357,867,993,520,219,118,435,790,557,264,223,737,496,955,135,195,
717,977,610,104,388,031,482,523,181,614,478,552,197,717,539,097,327,875,928,
898,068,347,174,260,687,961,870,373,026,758,335,781,428,498,444,513,811,844,
532,611,941,029,648,649,210,750,234,254,444,063,525,120,681,627,198,009,615,
734,420,362,886,284,250,053,711,165,286,258,278,254,289,366,351,470,022,048,
535,022,093,284,527,837,396,579,750,745,839,200,212,866,425,669,170,624,299,
606,303,831,687,719,069,843,041,713,048,446,715,491,490,768,669,571,873,727,
460,486,118,557,482,641,930,515,637,583,811,558,335,872,196,705,867,418,720,
793,274,001,594,051,802,246,826,668,176,434,534,468,675,521,623,239,253,869,
762,924,808,065,204,704,343,224,031,054,380,141,222,807,499,811,326,684,228,
980,174,550,525,942,652,337,978,767,568,978,448,482,815,641,346,426,754,979,
170,247,791,514,133,684,517,306,476,296,173,390,820,527,866,563,127,446,879,
024,056,836,710,073,709,935,219,800,204,365,641,263,224,830,553,613,005,190,
408,196,851,357,619,659,968,602,947,730,363,217,500,077,550,594,265,853,157,
554,920,222,661,904,443,340,066,322,464,306,823,982,518,062,292,075,315,036,
527,977,043,047,885,519,352,784,126,135,682,589,594,363,176,586,134,841,094,
377,887,156,681,926,821,000,112,202,076,646,307,685,619,901,365,630,305,653,
486,048,418,328,206,828,458,365,747,425,859,154,191,980,033,626,158,817,048,
430,206,931,798,115,434,963,267,988,962,046,363,118,713,080,624,622,240,280,
136,666,571,812,550,800,158,662,598,544,820,864,807,697,558,437,406,575,032,
874,999,910,207,981,257,405,622,088,053,303,160,631,747,626,274,981,532,812,
176,426,954,553,578,458,137,621,108,726,395,884,772,237,587,984,345,253,285,
806,832,052,825,110,424,450,739,174,405,177,873,288,131,179,395,581,668,332,
230,174,626,620,428,039,599,342,811,914,958,991,165,089,685,652,020,124,100,
592,892,985,758,181,313,957,729,686,128,243,359,136,552,015,078,669,004,408,
829,680,252,861,072,619,166,250,479,346,275,108,141,740,370,305,230,192,982,
903,861,690,475,687,230,576,038,657,682,903,982,583,879,577,660,826,119,757,
911,086,160,953,475,336,284,920,474,907,072,706,790,046,936,326,642,405,425,
277,360,312,469,870,393,066,642,139,756,744,412,480,335,129,713,750,674,523,
108,672,382,485,724,234,351,264,676,126,181,180,236,440,850,712,040,428,604,
942,072,755,454,572,808,487,836,226,393,684,482,327,599,781,852,545,325,283,
565,959,530,476,340,379,758,180,730,054,102,889,885,735,493,139,743,296,168,
720,356,237,909,515,941,050,412,878,855,548,075,086,628,401,736,530,164,824,
672,905,433,478,965,020,605,163,565,923,633,928,520,039,133,370,539,163,372,
593,311,653,978,471,857,264,808,229,335,308,853,177,404,728,715,464,913,649,
327,027,940,901,751,186,330,592,559,375,330,511,975,748,286,546,504,800,670,
076,990,679,903,173,073,461,932,061,175,624,247,889,559,311,785,366,285,520,
087,017,657,894,636,234,276,801,489,345,582,234,479,108,074,777,163,818,337,
950,766,808,784,749,817,854,286,599,803,296,470,168,793,156,205,006,636,070,
583,474,472,877,619,004,010,153,319,990,733,824,265,756,906,814,002,556,836,
164,102,633,434,127,376,269,662,002,447,709,807,010,819,411,843,069,222,667,
673,485,125,159,727,763,179,047,241,509,464,952,816,773,604,233,339,822,931,
695,117,804,780,764,203,124,702,523,960,445,343,078,520,479,527,184,615,386,
346,956,239,759,025,059,864,950,540,949,848,400,139,103,232,382,654,587,516,
050,395,121,386,244,161,207,044,893,645,104,647,006,527,800,097,674,778,978,
895,971,878,162,645,177,376,576,639,079,521,900,526,541,419,121,943,363,719,
578,233,078,466,360,975,161,732,331,998,002,841,759,847,220,612,934,199,289,
291,881,075,972,981,281,539,641,101,703,321,163,629,446,928,617,061,906,885,
758,594,143,859,871,069,705,096,210,270,715,949,830,043,738,365,481,041,536,
491,232,594,497,932,433,178,254,280,872,487,883,254,087,935,086,810,292,638,
212,082,337,117,183,466,980,496,690,327,374,479,267,443,435,237,235,170,805,
883,209,270,024,822,477,530,652,368,135,153,580,497,526,449,411,577,355,741,
928,445,063,618,547,646,806,921,170,373,876,999,610,031,028,379,514,738,626,
164,162,092,945,414,032,278,159,626,006,795,628,730,983,084,742,492,264,902,
636,947,198,641,146,109,099,460,365,466,090,161,543,832,540,504,377,374,668,
306,791,206,108,840,226,877,270,126,309,775,665,337,112,821,345,867,175,214,
623,917,163,931,502,531,597,773,768,710,258,902,837,755,652,577,822,219,697,
473,032,706,759,587,036,528,939,163,339,225,275,733,296,632,105,719,317,053,
093,584,995,616,559,434,167,907,116,792,204,284,996,832,184,655,565,391,952,
368,893,444,843,477,385,489,479,430,477,759,672,399,166,217,922,437,845,385,
650,311,724,500,874,909,858,934,456,418,219,482,226,978,695,778,777,028,855,
620,493,429,720,070,262,965,221,021,463,202,751,702,326,720,179,928,056,973,
399,225,632,013,555,000,131,508,111,080,419,078,461,056,939,766,824,464,164,
380,253,637,832,282,570,244,224,062,855,050,305,581,777,893,860,405,852,606,
282,691,738,261,146,137,694,856,449,605,761,623,741,763,914,483,472,988,649,
274,976,508,414,147,812,100,414,678,547,127,358,170,892,834,033,201,443,999,
503,328,511,352,186,361,545,679,530,410,085,832,071,832,349,101,347,200,626,
468,933,500,691,505,963,171,996,377,907,192,178,002,541,964,550,371,252,850,
144,029,533,201,026,669,927,419,832,589,841,175,467,639,767,603,595,770,404,
249,073,639,269,527,119,103,518,459,277,407,480,448,563,240,067,496,407,204,
069,037,876,333,563,666,151,045,841,347,790,677,647,699,969,785,881,528,929,
935,062,385,977,226,494,105,751,291,788,601,448,486,879,885,936,539,968,210,
866,614,565,341,080,987,530,644,681,472,111,134,841,880,634,990,789,717,057,
524,669,122,043,406,206,425,263,993,831,003,328,803,963,041,738,770,764,885,
436,352,094,384,868,529,211,383,661,626,200,551,944,916,138,373,692,529,061,
462,253,326,607,177,669,236,750,161,634,814,460,553,548,918,191,348,589,392,
945,479,280,616,013,313,027,136,115,277,212,248,851,583,298,196,833,981,807,
284,086,967,733,113,983,369,757,521,319,085,369,197,021,399,502,744,777,865,
096,286,176,800,945,640,020,799,029,884,311,428,983,089,979,748,984,188,312,
385,188,352,905,000,823,930,785,448,088,042,388,326,198,917,939,709,735,685,
279,417,444,165,324,232,508,459,543,751,417,028,623,782,041,605,907,026,620,
102,675,704,401,031,995,186,446,106,235,337,659,951,599,204,420,412,750,378,
498,951,385,976,869,177,513,509,886,638,398,570,958,697,865,000,588,768,236,
446,295,812,261,109,769,924,225,414,730,224,270,770,680,440,908,842,055,814,
834,562,932,198,380,964,163,502,731,833,304,115,494,366,820,911,598,771,370,
791,727,022,151,005,368,145,788,440,852,279,774,559,002,259,972,711,641,148,
543,080,732,389,525,076,740,883,880,732,228,354,370,361,553,420,288,000,373,
474,417,410,887,381,299,500,467,378,109,787,377,706,806,753,959,031,727,676,
665,339,063,698,547,632,181,004,448,360,813,193,836,289,344,499,647,433,755,
153,385,016,704,779,639,049,905,641,695,883,484,766,264,241,912,904,492,504,
073,605,008,281,556,215,209,139,318,522,726,131,781,348,562,094,310,939,395,
874,287,830,768,007,224,378,435,922,192,370,201,978,415,206,500,110,860,567,
788,454,216,319,628,395,334,020,443,074,223,583,468,251,822,268,219,965,177,
493,932,278,781,459,865,431,319,941,266,738,772,460,745,649,324,613,675,114,
386,672,313,117,850,630,340,540,755,335,049,346,061,769,536,444,240,767,150,
270,005,981,392,381,673,435,795,870,224,239,389,135,278,285,943,347,726,982,
910,995,848,504,533,150,031,245,927,387,447,020,796,882,750,274,394,492,798,
237,026,007,007,980,399,975,311,643,800,643,855,622,053,865,011,927,309,112,
965,675,661,851,331,560,358,497,876,682,282,484,567,016,290,559,730,793,320,
203,976,164,146,560,604,118,888,188,818,918,056,175,660,057,267,313,355,376,
784,351,125,435,394,614,846,901,015,298,557,287,760,804,630,864,567,286,726,
619,677,766,874,812,176,475,112,936,193,645,029,178,848,228,385,908,897,458,
747,025,993,851,756,741,892,987,567,623,154,019,562,632,296,774,319,791,734,
665,022,755,852,327,387,491,124,305,204,074,302,065,391,420,794,939,910,152,
436,679,733,534,273,389,156,601,364,124,871,101,667,088,108,349,554,439,472,
689,807,484,641,833,265,504,452,480,316,890,332,226,023,144,855,989,668,716,
431,134,634,618,525,729,255,876,475,671,871,736,661,360,541,176,885,866,034,
975,918,956,773,945,042,752,184,311,494,996,963,197,382,311,952,057,043,933,
703,562,153,461,826,072,042,227,823,991,403,611,834,446,015,226,876,846,994,
319,684,895,593,614,305,742,380,755,432,204,850,754,278,425,239,063,684,555,
171,289,749,770,522,771,375,469,848,684,019,484,491,915,126,050,373,235,169,
749,097,179,562,910,149,502,535,965,996,985,203,994,059,161,554,464,338,285,
075,935,051,106,558,309,649,992,199,602,560,240,521,323,609,031,726,153,377,
368,129,566,304,168,780,754,380,692,800,034,218,002,460,528,231,104,767,425,
031,652,255,149,077,709,364,830,097,001,942,599,314,022,046,653,152,951,471,
531,244,957,510,143,036,910,299,302,046,093,565,894,740,143,611,660,985,926,
379,155,122,873,031,544,070,576,367,352,640,874,899,475,828,138,838,650,981,
506,504,446,643,097,022,695,740,297,178,022,906,244,378,379,789,577,783,643,
007,964,722,301,578,810,915,014,591,880,773,253,687,546,080,740,117,793,949,
284,909,221,119,051,016,966,655,213,074,336,680,147,533,032,169,137,963,663,
177,804,956,439,439,886,851,968,705,611,587,353,811,303,249,009,672,351,990,
791,606,450,677,084,435,214,889,466,265,699,480,818,248,813,066,493,968,855,
080,113,534,847,291,607,007,812,870,968,524,150,044,973,851,568,782,756,136,
116,427,338,130,028,244,045,537,481,642,575,393,951,956,758,096,391,981,676,
656,968,901,166,651,073,625,213,560,148,227,004,525,629,264,885,100,761,664,
927,332,754,604,412,687,546,835,648,683,001,160,008,928,007,786,288,624,203,
040,410,210,015,873,574,991,441,671,376,047,466,825,467,144,784,941,989,194,
425,223,263,895,279,251,094,805,104,323,792,681,725,813,675,204,913,494,311,
674,473,004,191,068,467,738,729,654,664,784,491,529,296,825,748,309,713,657,
721,749,812,120,142,450,158,155,718,371,585,057,420,443,464,401,889,255,337,
253,595,886,329,908,881,402,148,597,085,779,945,245,401,119,072,366,045,436,
452,773,227,655,854,319,574,858,010,632,240,163,227,137,665,974,013,533,986,
815,395,711,219,530,369,467,286,243,700,612,084,970,480,043,147,113,222,015,
839,372,734,371,154,788,015,878,749,189,197,654,180,056,112,564,678,421,063,
265,211,443,671,714,389,916,963,838,754,154,316,045,554,169,589,625,493,328,
991,083,868,221,205,083,257,475,980,977,816,854,116,195,270,124,980,920,386,
331,133,543,949,146,034,654,372,178,770,164,256,158,033,081,392,808,632,160,
873,853,014,282,139,139,321,426,977,967,767,144,759,562,436,530,634,941,733,
549,561,897,609,659,367,437,146,817,540,100,177,166,833,451,090,517,267,891,
773,868,273,776,756,192,895,011,775,136,624,066,797,615,477,941,378,860,929,
838,041,346,507,679,423,159,535,912,933,606,364,865,021,576,767,811,763,016,
635,927,963,910,210,450,569,406,362,991,389,605,276,394,376,237,569,067,640,
493,024,178,528,243,532,018,856,352,423,793,917,114,758,541,063,148,519,762,
369,398,241,576,475,920,662,660,979,389,471,385,408,241,806,862,487,336,331,
721,500,470,217,987,243,648,077,112,624,668,866,351,070,720,456,083,582,179,
297,442,876,875,193,177,291,571,384,736,461,394,874,024,611,891,794,975,066,
971,296,428,225,390,239,715,338,159,408,043,403,852,983,527,785,560,027,851,
746,644,188,694,009,548,979,801,799,945,886,707,752,605,597,663,153,905,267,
538,848,673,476,055,179,817,794,780,972,232,251,200,399,203,616,049,714,513,
819,751,446,407,130,910,193,397,453,517,330,091,504,562,525,698,253,531,968,
120,161,529,643,802,944,502,013,840,875,035,433,416,818,541,970,292,575,068,
476,246,130,677,207,451,191,948,443,950,919,264,131,963,470,755,101,158,707,
444,539,517,703,516,468,456,910,114,885,900,644,072,861,492,175,401,132,097,
956,135,034,870,518,329,292,342,626,534,230,073,883,035,577,706,954,065,418,
251,254,718,314,581,846,798,424,871,287,268,429,039,765,864,865,979,018,624,
467,860,798,265,420,440,209,654,708,195,487,760,853,943,816,627,868,154,178,
417,410,417,332,877,276,907,843,178,542,918,990,636,704,522,785,555,828,058,
981,269,408,419,015,446,992,806,447,947,992,726,324,537,805,697,828,060,628,
007,463,027,558,003,016,731,386,534,794,308,908,105,474,170,463,647,465,307,
042,518,312,296,817,974,552,462,533,662,606,302,746,485,162,983,110,865,369,
768,029,391,149,826,841,574,031,195,979,390,265,210,788,020,666,296,815,480,
394,612,094,798,039,420,012,458,647,963,647,719,321,083,825,623,702,990,411,
837,837,704,123,305,026,106,834,093,302,371,728,151,286,829,887,343,359,084,
397,180,800,833,323,314,227,990,593,041,266,218,423,046,441,435,182,684,147,
723,517,584,068,349,251,306,362,896,633,640,427,654,833,532,627,761,115,305,
475,572,098,757,848,192,765,497,613,846,874,031,130,895,096,666,931,453,317,
877,955,442,574,857,626,439,710,123,119,425,359,301,304,281,332,730,987,918,
717,014,332,324,149,735,653,581,093,289,927,111,537,272,692,882,733,344,445,
678,184,788,625,996,003,082,429,533,646,412,069,599,339,732,999,690,457,994,
817,481,559,884,120,703,842,344,383,823,861,985,157,773,193,606,868,694,538,
656,227,395,636,512,968,449,540,917,526,282,298,610,186,799,283,435,154,802,
379,758,930,995,814,990,498,798,066,990,216,178,362,066,842,267,096,117,102,
789,809,401,338,766,376,446,400,273,304,445,779,279,302,571,978,659,993,384,
040,192,081,082,437,923,027,918,663,429,230,392,555,026,175,267,284,131,342,
131,255,042,912,756,444,057,685,105,318,304,696,929,158,171,583,212,070,484,
714,757,970,823,473,004,319,718,342,252,123,766,359,782,786,837,264,207,319,
090,657,303,505,184,544,051,014,179,839,292,305,635,204,670,518,063,066,160,
580,881,197,934,188,013,604,922,136,822,803,199,408,377,997,764,137,529,128,
623,849,377,607,650,883,838,083,994,318,408,902,496,769,891,295,887,300,099,
942,426,344,336,668,966,819,081,935,680,423,553,216,677,936,346,240,571,365,
531,719,103,270,844,308,940,854,368,775,530,906,388,320,674,457,563,232,416,
327,703,626,282,295,487,596,286,728,910,414,486,907,928,751,018,753,996,431,
441,687,319,524,396,541,477,155,014,247,204,277,107,651,038,350,134,370,412,
850,250,475,113,001,466,918,351,068,765,429,869,186,124,154,581,289,423,777,
259,163,597,978,812,957,573,939,611,314,802,957,816,830,468,700,375,190,256,
368,568,396,340,064,183,193,428,192,538,968,026,449,066,394,764,399,151,477,
885,661,146,609,515,343,849,479,933,612,909,284,096,001,876,163,504,390,794,
752,264,309,541,626,073,757,766,481,186,417,869,779,467,461,173,025,920,914,
087,445,359,847,562,184,845,966,377,658,674,587,306,006,349,416,216,284,558,
658,034,248,459,550,809,653,008,168,931,159,650,665,068,022,303,530,142,470,
179,655,745,508,932,574,572,029,313,626,248,012,568,648,117,800,688,226,491,
765,303,153,540,055,123,260,070,938,277,092,898,794,343,468,201,701,988,614,
684,873,523,890,705,219,049,746,911,168,157,869,112,476,417,504,420,482,247,
401,816,217,047,804,411,814,763,983,717,873,206,686,443,884,013,708,048,516,
921,003,926,917,361,701,147,761,422,700,566,540,571,556,260,154,716,236,230,
857,761,844,341,390,835,161,298,066,382,008,505,031,596,693,683,307,813,976,
009,937,356,728,583,897,813,107,348,479,459,799,604,568,821,877,832,336,886,
518,974,415,719,390,819,559,641,537,240,303,768,078,844,013,822,972,173,169,
551,579,413,529,867,931,323,716,633,319,865,096,813,328,810,805,670,582,216,
131,660,810,579,376,154,836,435,056,188,743,088,992,652,892,253,508,663,850,
759,050,187,746,722,182,826,781,931,480,433,516,221,372,047,104,690,701,422,
718,684,107,977,823,054,053,113,691,879,825,399,662,020,367,872,362,934,499,
749,787,368,308,787,368,331,957,220,576,929,010,796,687,116,524,700,832,682,
413,586,711,447,134,314,038,354,353,799,286,872,589,178,261,711,175,652,478,
165,145,073,985,463,668,635,222,762,567,165,101,266,408,426,504,956,705,041,
250,175,998,263,525,886,654,640,673,046,451,495,229,278,743,047,909,904,317,
229,520,583,250,324,508,359,662,363,140,191,964,311,628,444,210,128,749,539,
110,376,663,838,854,557,819,118,229,294,571,115,039,644,657,199,985,953,338,
673,277,119,100,476,926,109,412,160,536,307,191,703,513,246,802,616,160,783,
583,129,330,021,552,021,036,680,631,566,595,425,346,639,937,896,871,364,257,
737,228,346,435,077,355,766,932,534,552,804,594,541,392,335,403,814,136,231,
248,473,589,695,761,496,664,951,530,760,507,184,844,356,293,383,733,479,488,
640,485,504,384,509,953,109,304,111,935,838,688,288,778,407,647,033,824,316,
199,926,283,325,874,606,740,284,898,180,734,610,799,210,309,679,670,390,540,
227,839,216,758,949,980,489,731,749,794,953,987,241,821,920,222,888,059,829,
882,923,496,549,164,498,246,410,857,639,455,100,355,021,682,258,945,280,198,
290,037,508,249,786,735,708,602,109,201,400,863,741,368,518,774,558,453,844,
283,000,886,779,663,539,362,245,145,923,079,125,322,931,227,621,318,109,076,
436,893,293,829,722,157,713,446,527,228,078,166,187,530,723,877,070,147,553,
563,183,504,365,494,251,188,474,720,783,188,246,806,040,815,976,004,862,114,
187,582,698,809,088,042,635,908,890,021,142,836,681,340,511,134,796,797,449,
725,590,654,786,451,280,550,344,984,487,926,904,878,663,050,483,029,465,527,
448,283,084,661,766,783,982,459,883,575,225,427,883,468,282,745,707,680,087,
607,045,785,791,893,530,521,825,426,159,709,552,201,768,506,680,139,657,059,
322,400,981,420,546,721,663,870,487,359,106,976,376,409,732,260,831,428,300,
376,088,428,719,603,953,057,482,419,598,170,355,623,685,194,481,073,135,502,
829,776,175,186,866,505,940,844,545,033,406,863,297,063,377,719,731,984,132,
215,555,612,301,974,990,317,993,390,454,711,839,306,911,471,830,596,467,133,
936,509,144,519,348,265,159,881,153,114,771,878,844,581,046,346,323,232,697,
332,906,936,684,067,015,087,577,218,293,435,996,339,164,711,331,950,262,387,
557,779,854,361,124,317,265,725,022,018,564,813,648,167,134,811,846,635,859,
599,016,204,849,968,290,293,117,698,283,562,254,032,048,052,955,125,571,243,
586,125,626,038,193,760,982,669,802,761,201,998,536,004,671,519,450,581,255,
466,283,399,144,409,958,021,136,572,903,807,662,337,971,813,468,565,306,174,
947,773,471,775,287,225,103,986,920,306,572,463,539,071,015,503,559,954,393,
140,043,965,291,098,888,917,857,686,879,121,310,236,917,385,968,115,452,222,
118,291,669,152,718,837,194,534,443,361,709,848,370,284,672,539,700,002,706,
026,126,522,619,749,556,729,188,803,661,572,706,254,398,236,555,181,157,133,
339,184,372,603,864,585,501,798,117,250,132,146,303,057,838,686,411,467,029,
091,809,579,114,740,464,841,872,212,484,293,673,426,914,165,259,329,231,295,
519,953,933,912,113,627,255,916,030,267,798,910,747,907,837,153,869,397,189,
142,959,902,251,044,840,363,534,171,443,799,739,401,160,410,536,495,673,192,
001,333,528,433,584,461,902,474,551,377,525,433,123,817,441,003,495,502,997,
733,216,917,511,598,796,737,392,029,318,156,628,608,201,705,885,683,804,461,
468,513,019,749,998,158,848,050,155,956,592,149,816,584,808,123,225,625,247,
755,789,447,449,175,174,686,937,719,476,013,485,296,360,964,730,726,655,837,
290,212,324,372,674,534,484,775,842,975,495,316,047,642,784,795,153,269,980,
616,607,149,665,399,075,458,382,024,507,244,615,213,002,452,209,707,432,564,
438,848,441,924,929,041,523,066,178,221,026,504,015,104,593,844,038,393,044,
620,751,354,146,397,228,181,978,939,508,709,244,322,191,620,629,959,355,529,
627,979,217,909,194,184,103,181,454,800,102,703,939,699,861,782,826,500,961,
891,567,952,270,917,854,374,208,590,771,552,408,674,904,279,733,169,431,546,
875,417,718,134,056,859,499,613,589,496,979,880,866,335,708,156,402,727,116,
721,214,008,400,603,588,484,302,917,468,785,067,448,761,640,739,824,832,292,
429,826,235,723,411,771,185,980,526,020,350,526,570,021,297,306,825,349,874,
896,469,097,944,043,432,444,397,113,791,114,339,849,566,679,774,037,207,534,
294,071,744,613,475,186,153,849,858,821,995,624,881,442,718,467,529,207,454,
534,543,757,899,351,520,667,993,060,436,688,990,828,585,714,258,351,827,726,
296,603,332,853,362,923,670,300,049,842,051,009,226,983,896,042,076,985,679,
680,792,022,495,243,231,129,661,218,125,888,510,274,996,648,756,163,523,896,
172,215,127,767,870,895,574,608,985,035,359,475,417,574,606,208,356,169,756,
024,244,439,670,039,911,516,156,971,632,412,943,729,192,083,105,293,302,776,
802,406,935,235,118,553,500,793,270,598,092,262,435,100,597,718,321,311,693,
226,911,139,883,932,296,552,463,459,552,572,069,518,775,253,281,394,042,973,
331,483,189,046,663,985,086,585,160,448,959,498,084,877,058,158,672,780,486,
171,339,670,398,610,156,951,879,537,515,896,543,115,116,984,849,603,087,022,
555,743,298,564,704,981,141,098,539,239,408,738,747,470,738,225,203,360,724,
262,106,106,313,579,473,241,700,976,444,846,718,255,771,139,876,256,911,137,
492,492,888,736,400,075,159,509,693,640,654,938,351,286,218,586,213,826,733,
549,748,628,547,211,402,543,056,049,964,659,080,895,183,333,638,151,359,678,
183,360,114,813,254,405,856,459,789,724,286,922,938,096,870,508,906,748,925,
153,694,874,292,480,261,273,356,246,646,884,782,349,255,336,399,360,165,235,
009,390,310,853,243,915,349,688,125,579,039,408,258,829,286,660,931,976,362,
917,448,676,387,517,899,141,403,385,339,582,136,174,728,958,594,839,756,181,
373,427,601,078,392,632,424,842,034,665,563,263,106,915,512,839,318,322,828,
006,545,565,975,566,164,142,502,618,996,111,620,975,041,178,378,725,147,862,
758,732,258,138,165,247,732,091,858,210,792,337,487,412,134,635,620,790,276,
623,703,525,805,655,212,300,722,171,519,763,434,697,534,999,932,711,211,516,
508,553,795,360,313,446,025,175,421,165,410,750,227,673,654,403,151,818,603,
297,450,590,910,228,654,773,913,226,656,584,768,814,846,326,909,891,686,214,
580,127,205,915,965,920,779,643,612,043,456,501,644,734,354,463,153,488,866,
766,551,980,153,230,749,155,412,569,338,278,343,071,683,416,058,011,050,791,
351,242,609,064,222,572,371,994,935,763,765,001,620,036,389,220,833,718,177,
878,131,002,012,835,358,095,627,803,257,614,773,197,788,350,597,772,608,511,
222,746,131,227,495,610,877,393,588,443,775,047,762,139,389,967,698,395,770,
708,973,415,959,496,361,401,562,673,795,099,361,804,991,782,943,166,792,163,
127,096,976,172,928,630,389,547,222,272,524,889,749,211,260,784,679,277,930,
346,861,126,645,727,525,477,385,867,457,913,374,073,892,739,991,287,288,316,
010,574,431,418,265,343,021,939,787,215,459,489,228,804,074,685,836,114,646,
015,660,099,362,027,938,836,787,764,294,736,380,933,955,484,335,807,397,838,
303,910,534,941,781,472,782,511,078,183,271,233,269,388,317,409,559,765,730,
043,020,908,337,690,851,554,935,286,512,168,723,113,237,484,540,093,508,129,
056,190,678,415,562,631,413,806,513,456,569,069,609,547,819,058,018,207,103,
926,135,274,133,810,818,831,772,045,356,803,073,777,213,052,844,466,284,016,
872,325,673,785,302,101,965,986,562,542,606,284,858,342,317,094,642,340,503,
932,894,500,109,840,809,639,186,184,814,897,011,288,390,322,707,079,886,303,
384,024,736,580,500,319,821,155,435,108,070,531,421,776,322,928,208,111,260,
102,397,603,426,067,957,454,759,353,102,342,084,114,466,643,258,315,705,972,
488,741,256,261,510,879,484,541,168,216,619,537,547,970,693,597,950,476,369,
454,732,592,083,943,998,548,309,608,787,661,590,864,977,079,375,614,995,011,
721,310,471,384,023,019,161,969,349,311,062,865,947,800,908,543,860,560,124,
882,574,670,152,757,587,686,542,271,628,930,314,755,108,435,629,914,736,851,
530,418,718,920,455,140,608,895,060,927,079,574,472,577,585,017,247,750,479,
473,183,142,397,135,353,883,034,004,445,438,442,601,102,874,204,274,950,670,
123,968,280,179,393,000,159,459,678,605,653,199,894,029,773,695,439,908,299,
036,011,806,733,521,770,746,789,355,576,000,950,002,434,043,391,188,675,855,
031,570,915,365,118,380,602,300,586,314,960,664,544,256,449,342,680,712,277,
332,542,466,454,367,968,673,672,270,415,868,414,191,640,237,931,661,893,702,
407,950,781,882,399,673,881,840,702,762,835,206,311,018,894,478,088,751,649,
351,362,076,667,130,174,956,679,864,408,584,893,788,841,906,726,336,567,152,
909,574,169,521,021,672,700,281,236,820,309,227,198,230,102,059,756,991,259,
005,644,521,731,485,879,277,579,387,706,498,035,701,897,696,378,804,207,602,
915,509,878,280,402,542,137,725,056,900,027,537,715,899,064,816,712,669,535,
012,382,015,582,934,967,422,938,565,090,341,600,619,844,993,404,244,144,512,
639,697,426,940,396,387,290,098,385,218,438,000,936,328,503,565,574,911,466,
601,902,914,719,885,575,828,616,734,739,664,923,452,413,407,334,187,860,548,
299,872,849,553,314,939,595,163,530,712,145,833,074,166,106,886,208,530,237,
352,184,425,773,301,284,495,686,293,046,293,053,374,663,080,090,289,982,865,
990,055,660,450,615,049,342,580,690,750,065,868,114,213,439,306,034,808,786,
077,286,441,575,134,459,050,931,651,845,664,158,505,550,601,052,475,365,237,
212,985,887,960,652,034,140,505,687,086,059,067,963,129,995,730,206,279,644,
695,172,785,424,157,015,041,189,575,497,830,972,458,765,291,503,444,283,999,
943,709,309,624,518,864,863,256,126,799,239,810,302,985,441,682,731,626,735,
820,716,615,921,117,373,335,147,027,118,802,155,668,569,312,135,789,761,082,
911,194,369,489,945,699,352,460,275,155,321,448,596,289,220,456,579,680,134,
273,340,433,543,911,728,693,961,962,669,975,490,274,164,452,636,496,393,471,
634,639,518,577,262,541,348,275,118,177,695,717,142,179,645,560,795,166,707,
909,247,033,165,737,424,247,795,929,471,254,673,235,640,745,406,328,111,537,
553,183,907,770,323,222,445,379,605,097,429,794,083,398,471,620,884,611,246,
095,213,515,617,871,214,035,560,303,122,773,703,771,241,936,019,245,437,974,
051,939,446,681,544,898,098,858,173,689,544,796,275,649,823,771,770,325,861,
385,474,647,066,174,613,364,205,975,131,977,359,747,383,335,026,447,663,448,
662,774,301,992,290,072,937,791,316,721,993,171,356,281,500,207,150,496,550,
497,589,955,333,098,670,677,592,196,649,401,372,538,875,572,290,069,640,041,
175,059,819,802,911,964,496,749,930,201,694,536,265,032,997,367,269,922,155,
508,612,910,019,279,324,321,076,628,997,175,389,716,149,860,800,399,541,207,
159,253,324,244,423,822,434,287,731,798,757,564,199,647,022,200,164,752,939,
989,070,519,770,185,740,588,364,815,905,290,154,063,870,326,066,703,271,875,
850,901,187,721,502,475,762,066,975,043,752,665,845,441,149,405,641,805,644,
708,327,118,833,062,664,922,940,038,786,480,841,936,356,071,886,955,911,203,
111,736,031,421,188,659,809,863,260,281,871,513,496,431,998,449,181,152,714,
346,879,242,397,284,722,620,021,814,878,129,571,135,583,228,731,555,427,859,
667,241,481,336,921,814,383,479,584,760,679,667,045,819,303,917,482,292,533,
066,490,599,092,415,391,212,903,100,547,003,996,705,936,597,762,238,489,187,
779,988,093,053,971,731,052,953,151,080,141,248,865,519,235,297,874,030,480,
486,567,074,217,938,609,619,513,326,861,637,547,094,268,621,381,774,965,799,
137,732,713,610,858,326,938,240,014,002,850,827,188,477,768,413,287,366,013,
380,202,704,781,314,478,284,203,980,175,625,668,590,192,726,740,446,232,850,
735,477,276,212,000,122,613,582,966,831,022,578,258,369,161,284,769,353,540,
311,912,281,626,868,130,455,353,655,978,521,495,463,483,655,006,763,214,647,
943,809,769,896,893,492,364,360,604,659,120,749,417,210,936,467,492,255,629,
907,467,422,184,205,174,389,156,223,897,764,493,120,624,920,335,648,362,184,
956,556,433,652,853,418,624,223,658,538,763,209,676,636,480,577,414,747,438,
420,579,048,441,935,608,447,345,832,901,523,474,591,967,981,691,867,511,302,
823,767,425,876,699,713,709,712,051,880,381,480,811,385,166,239,749,327,638,
052,719,396,089,547,474,089,329,523,126,056,996,390,112,645,959,682,041,793,
279,160,795,975,522,945,216,009,412,430,329,517,574,688,196,313,901,591,652,
348,614,709,695,175,126,124,635,510,582,550,794,156,353,963,875,971,410,013,
733,488,000,563,204,572,997,767,484,502,590,571,518,586,121,760,344,795,753,
230,670,878,779,951,141,594,170,917,320,621,217,442,488,237,023,628,467,479,
500,176,892,651,807,448,631,101,452,681,019,486,216,680,081,434,299,668,755,
615,357,154,567,727,652,617,885,212,261,414,430,907,804,255,073,855,026,662,
698,498,747,532,664,643,738,284,365,850,269,492,713,843,200,235,794,582,031,
144,792,346,564,056,424,052,973,665,317,785,297,683,696,949,238,188,335,078,
179,153,184,679,919,979,888,757,700,788,367,882,795,817,911,738,769,546,835,
585,340,245,465,489,248,465,240,151,313,499,361,172,083,155,069,407,351,588,
246,494,635,819,306,347,217,821,778,283,166,903,988,191,775,334,845,456,125,
618,542,975,859,976,830,833,347,605,168,505,390,138,474,538,077,897,492,934,
227,935,109,024,904,133,887,679,017,953,484,798,626,272,091,307,889,628,273,
713,355,557,817,477,502,625,235,216,526,782,096,848,087,441,527,094,592,413,
983,166,895,104,359,738,641,089,336,550,690,807,669,370,939,087,989,215,436,
135,497,664,336,849,161,931,954,711,429,517,976,018,281,786,727,524,929,795,
029,388,096,187,411,271,711,074,371,241,269,409,015,909,927,482,636,859,008,
735,115,213,133,086,172,305,086,266,052,184,084,557,323,427,986,945,384,575,
427,658,505,536,779,733,641,152,134,377,917,404,388,353,417,445,310,824,882,
939,542,649,105,924,171,207,038,573,402,761,798,494,003,123,195,021,509,988,
062,384,849,135,594,946,230,908,839,130,967,123,171,517,367,762,645,717,237,
125,366,347,011,014,947,503,327,921,059,695,139,621,077,605,101,105,712,225,
535,849,434,939,524,585,229,888,287,683,538,270,056,046,572,161,533,380,531,
810,058,289,254,866,992,323,989,961,315,110,243,984,445,289,704,462,038,149,
720,026,538,315,829,757,887,401,653,922,469,875,816,819,240,073,440,415,040,
933,596,034,435,265,312,020,767,060,611,089,220,131,495,224,277,049,533,553,
844,368,471,860,436,748,028,652,659,277,063,090,595,837,501,976,535,400,271,
206,851,601,313,074,833,303,873,273,254,664,570,906,852,285,540,775,979,183,
222,079,765,402,879,305,208,734,978,349,082,490,941,929,973,088,158,088,856,
748,863,479,407,533,987,032,265,755,665,167,363,974,209,808,123,551,596,970,
273,399,974,571,729,790,491,368,208,800,620,535,141,964,504,667,751,312,135,
075,310,889,947,338,338,335,437,266,345,831,459,000,957,692,912,168,556,961,
404,689,525,422,023,465,835,198,443,950,541,069,288,855,655,344,847,862,802,
142,013,823,523,473,321,948,962,125,199,518,398,504,055,179,410,777,072,173,
019,216,881,421,607,802,882,895,870,842,516,628,717,890,170,460,365,307,737,
598,897,980,211,471,355,628,880,424,550,770,946,440,354,949,058,507,523,878,
173,482,709,518,299,260,062,768,928,646,169,900,529,561,936,951,164,462,464,
330,275,588,817,905,934,441,153,551,016,781,724,683,034,382,042,869,662,472,
114,989,925,929,870,070,654,197,964,362,144,896,158,836,461,538,778,234,581,
261,251,326,671,927,311,653,576,652,969,267,487,457,557,582,524,058,885,490,
849,657,922,847,264,878,793,514,396,757,665,395,962,371,014,686,095,532,230,
454,673,522,681,614,719,520,965,611,913,442,671,499,409,809,938,756,665,739,
012,128,022,819,992,041,840,025,073,412,115,419,382,798,130,547,668,772,576,
046,628,111,358,249,280,099,417,970,997,033,756,503,699,676,663,025,897,385,
370,315,058,865,133,961,886,490,125,595,323,763,721,730,824,552,517,373,070,
282,384,734,169,122,214,794,376,964,915,911,716,923,470,189,534,557,911,066,
335,045,415,428,227,463,361,715,825,806,810,990,928,424,609,240,340,580,057,
591,547,650,952,253,143,889,793,438,744,034,965,325,538,951,047,655,481,235,
557,787,470,104,896,296,772,376,962,284,174,227,848,183,715,088,390,453,022,
514,563,496,685,909,590,566,580,785,157,324,128,497,817,562,202,375,145,203,
797,782,856,983,374,558,380,218,598,311,012,994,741,955,612,862,429,522,909,
424,373,894,134,028,326,794,118,247,562,258,814,768,102,253,499,775,026,201,
778,502,261,311,601,374,975,335,102,099,805,978,919,953,775,264,811,949,255,
699,589,858,609,910,169,333,822,948,978,721,213,713,750,277,540,618,570,153,
950,001,556,261,285,073,308,906,930,237,257,404,589,530,783,240,344,942,905,
956,335,965,217,668,280,617,609,253,297,717,525,388,931,531,251,001,468,539,
853,970,824,365,340,464,503,869,991,118,551,759,479,860,338,822,064,105,079,
078,302,772,976,073,480,120,967,706,817,838,978,497,188,940,138,262,394,111,
523,120,117,630,504,288,100,850,987,654,908,667,776,286,787,019,331,953,413,
590,068,717,430,164,580,690,180,700,328,843,946,834,584,743,130,150,854,657,
247,921,819,508,917,756,322,631,067,941,310,937,176,078,911,823,301,660,442,
540,362,154,406,827,832,394,218,835,165,101,127,397,418,324,421,636,705,471,
771,106,076,217,129,055,926,524,054,692,140,532,568,338,192,793,214,059,866,
285,284,533,315,311,074,132,976,722,692,464,179,785,658,938,358,368,106,205,
938,287,242,278,927,921,305,930,257,502,641,084,722,653,690,442,981,477,760,
780,409,411,913,800,146,212,666,619,934,063,125,831,608,564,070,781,091,559,
969,882,205,072,687,167,176,355,891,636,495,352,060,371,118,909,082,837,261,
268,540,118,470,718,672,329,987,506,735,648,440,372,607,611,518,370,392,924,
760,547,407,755,514,791,802,341,836,701,161,862,652,750,978,337,159,156,207,
770,587,913,192,050,499,611,817,886,706,953,347,377,440,631,344,397,274,762,
208,795,203,902,086,587,780,606,002,767,320,630,774,314,281,289,317,076,773,
989,111,996,458,719,707,878,743,959,330,493,784,458,283,962,536,674,013,598,
681,458,910,948,538,556,186,144,825,964,775,265,565,427,408,708,298,001,439,
639,123,538,946,977,783,242,674,602,976,398,606,827,641,128,618,939,854,088,
654,847,583,137,573,725,403,334,930,975,253,922,280,767,973,952,919,377,519,
880,577,812,043,184,748,563,373,086,343,739,499,141,554,420,099,969,100,611,
869,598,476,461,047,528,107,295,858,613,023,325,332,374,923,571,419,187,560,
721,594,385,509,845,161,614,019,106,964,225,161,555,437,197,525,389,025,723,
429,615,377,018,078,789,782,704,380,740,583,279,419,118,855,677,167,115,916,
914,766,799,625,569,091,983,321,159,384,132,084,884,970,932,990,986,371,300,
127,925,934,175,636,369,951,569,238,123,049,981,942,462,081,351,698,700,912,
402,478,407,872,395,312,100,458,073,635,604,962,966,617,536,921,029,002,348,
551,521,764,397,323,545,119,955,333,702,319,004,448,987,568,578,063,377,126,
277,670,891,986,659,634,058,014,115,618,051,241,219,813,612,798,534,175,777,
276,811,069,130,470,958,661,217,630,455,745,152,088,308,825,299,177,018,956,
458,570,447,111,575,928,893,005,747,041,295,499,461,675,132,546,338,848,372,
552,769,680,292,488,042,416,257,302,550,033,377,319,842,835,566,280,578,942,
147,040,677,246,523,041,024,193,270,316,989,388,153,777,724,544,845,042,769,
167,656,359,502,921,248,532,538,989,798,559,141,385,840,149,947,871,069,887,
541,252,002,538,565,062,580,016,215,904,598,420,275,343,814,842,046,690,537,
491,950,525,762,942,433,278,197,466,278,155,141,516,321,852,366,491,840,170,
030,152,042,074,690,370,318,141,120,017,350,080,847,397,077,275,386,717,412,
585,260,260,058,089,791,547,624,711,354,389,892,591,717,368,889,338,036,002,
736,985,458,471,779,160,601,182,542,637,034,715,276,505,432,446,090,123,122,
964,467,602,201,676,410,506,741,788,047,093,641,810,394,584,730,601,654,259,
979,230,004,148,518,841,616,657,563,042,412,617,713,821,592,008,359,013,650,
927,853,068,601,317,394,460,350,695,191,577,249,013,719,431,324,431,970,587,
782,989,088,457,367,240,449,345,516,108,518,582,954,908,725,790,824,667,558,
903,500,459,578,850,701,581,159,171,052,491,537,874,187,543,838,303,184,621,
734,293,957,877,297,813,307,728,402,937,192,744,675,413,845,711,205,219,649,
802,966,623,996,720,449,441,248,053,829,393,938,010,276,198,629,024,299,378,
168,324,169,876,314,318,083,808,997,069,038,367,161,529,268,744,490,841,955,
390,509,347,018,151,736,176,796,217,212,800,815,451,623,011,344,524,355,218,
116,843,745,961,481,000,352,321,873,014,488,379,407,555,317,218,933,867,491,
622,355,112,397,002,422,030,612,988,673,988,556,906,584,618,180,113,286,612,
654,350,624,138,310,002,178,681,251,076,801,318,497,093,776,638,070,609,093,
026,937,627,903,875,405,356,442,096,223,938,369,416,594,032,726,002,016,738,
159,554,557,492,925,238,165,446,048,126,661,019,781,272,967,418,985,746,543,
274,368,896,851,081,987,392,610,753,649,108,348,592,193,573,487,973,110,964,
798,243,078,866,608,685,427,653,458,703,542,742,345,192,326,985,685,073,483,
740,677,276,437,158,364,436,074,060,409,473,509,803,026,858,247,352,343,419,
254,126,424,522,082,456,742,745,702,443,525,441,417,658,834,531,510,526,560,
074,959,535,609,973,125,522,163,884,608,272,995,288,195,476,583,372,894,815,
982,828,313,306,918,421,376,761,375,070,619,416,004,627,698,957,897,759,663,
710,539,997,576,822,541,205,078,956,940,044,247,364,045,050,189,316,574,821,
696,420,078,677,247,964,284,163,652,374,122,047,068,286,065,109,846,690,602,
722,076,903,916,223,563,805,311,749,387,472,699,508,297,399,296,869,523,840,
974,054,727,226,173,519,259,582,194,240,181,915,515,048,867,691,858,967,692,
950,650,364,954,276,744,562,818,536,760,984,392,231,124,058,831,856,841,457,
944,668,991,310,618,720,961,382,577,972,410,399,193,539,227,909,354,612,415,
397,607,439,783,597,286,240,929,709,095,410,119,970,615,991,920,070,790,092,
247,030,209,078,914,949,760,594,275,926,876,830,606,459,276,421,455,972,554,
729,519,866,668,545,271,473,007,363,118,446,371,785,401,636,346,850,205,967,
025,640,690,752,784,772,341,267,523,904,663,916,845,772,732,544,722,704,881,
136,022,609,811,256,041,850,786,043,269,439,950,553,704,281,514,808,811,253,
086,318,247,980,295,819,254,220,180,856,961,954,393,566,498,277,698,725,981,
724,422,445,826,203,038,170,390,000,835,919,383,300,824,489,613,284,929,878,
746,390,685,818,812,953,180,162,288,677,907,707,737,202,177,262,693,753,019,
825,286,519,122,694,749,362,985,147,254,232,363,246,006,836,228,930,213,795,
491,756,363,815,453,999,380,786,632,413,600,523,253,130,883,058,870,314,205,
012,283,796,860,245,501,064,213,546,955,486,195,568,405,717,627,279,251,449,
287,426,909,465,575,540,370,494,354,372,412,869,056,724,633,700,233,374,282,
003,004,235,022,245,099,980,276,952,609,791,675,738,657,018,172,516,374,081,
010,088,916,363,087,325,060,184,556,044,876,912,835,864,028,971,218,391,759,
529,003,418,381,921,626,757,136,236,403,500,642,499,402,754,311,261,691,908,
948,466,690,414,863,497,199,038,273,936,536,865,686,298,604,045,313,232,927,
656,976,425,864,915,597,529,290,671,437,405,207,732,764,582,713,809,334,714,
578,159,058,469,688,237,771,831,583,425,695,418,362,817,401,743,869,904,575,
891,844,128,972,344,405,098,827,895,891,603,847,089,022,057,919,752,012,271,
683,887,418,944,510,038,572,489,008,301,108,804,199,209,004,107,712,422,302,
705,552,113,758,514,782,610,656,792,459,433,104,378,465,588,075,523,465,481,
205,482,089,132,852,707,315,563,598,357,221,406,746,730,799,886,858,109,088,
818,232,828,318,209,039,376,975,341,112,946,530,561,726,106,725,378,692,734,
428,866,544,282,718,070,156,717,284,795,130,454,182,693,467,383,376,118,110,
664,627,221,399,922,235,909,309,266,666,917,447,028,479,848,730,475,173,127,
399,367,781,137,860,512,323,725,687,684,437,607,894,646,340,783,651,467,608,
822,305,456,828,214,650,408,451,318,690,107,235,071,788,863,287,672,785,398,
908,149,715,956,238,900,991,904,746,149,150,022,411,001,652,354,490,325,008,
730,542,020,809,958,555,982,893,352,050,368,786,244,138,131,069,517,076,198,
363,910,365,361,393,570,477,042,904,276,705,107,958,023,456,358,325,705,533,
351,534,719,933,909,338,194,856,146,346,701,817,755,302,003,778,731,059,587,
796,577,946,478,836,499,617,898,557,994,728,407,682,888,905,381,750,836,260,
845,138,416,076,391,238,555,401,409,909,826,094,114,951,407,727,031,603,125,
102,603,249,236,786,315,482,231,195,810,589,348,337,421,343,895,178,064,479,
840,830,967,549,409,065,593,745,661,460,176,770,248,657,088,359,849,545,062,
006,103,192,568,308,411,241,092,977,814,263,869,354,324,352,022,224,667,899,
928,930,861,286,389,513,059,199,184,809,722,088,697,177,382,556,689,548,380,
738,473,310,712,601,191,550,635,675,515,866,580,740,434,463,192,189,200,698,
379,681,557,997,552,869,308,714,408,639,762,036,371,232,564,089,113,754,735,
477,535,528,172,840,759,331,952,550,571,922,395,365,761,936,199,075,146,479,
920,871,489,427,533,699,439,880,263,381,436,234,593,111,866,803,278,553,814,
561,267,553,595,827,734,164,468,614,279,593,184,599,212,170,196,489,856,492,
896,414,369,031,567,207,183,745,673,857,032,598,597,660,673,664,132,855,582,
213,897,684,871,563,227,756,955,887,941,519,218,080,877,039,166,852,098,688,
748,237,964,233,545,221,851,185,998,197,326,321,626,253,075,037,425,795,882,
038,843,649,001,389,269,648,675,373,088,078,553,543,351,115,385,474,154,394,
611,418,622,132,705,409,672,442,308,507,600,178,450,093,445,728,990,502,961,
313,600,769,038,295,871,908,720,002,600,335,032,361,191,224,343,283,249,816,
277,857,426,080,818,390,434,831,295,748,254,576,832,918,820,986,060,715,088,
947,445,808,872,475,106,004,477,605,592,512,863,857,466,470,044,972,385,400,
526,134,800,927,204,735,863,819,301,987,105,027,422,754,439,241,405,409,722,
079,135,242,990,488,757,924,887,536,810,282,646,868,742,481,737,928,418,177,
412,339,898,647,353,023,348,266,709,542,451,109,824,655,318,146,453,610,915,
918,719,654,044,501,717,691,103,515,404,712,410,024,945,768,607,665,439,353,
047,391,440,492,426,768,091,220,547,588,811,875,665,591,324,396,677,361,265,
723,771,643,096,615,488,674,220,475,688,067,897,566,933,635,631,736,696,367,
672,936,088,466,476,206,895,575,488,213,250,273,523,347,005,091,171,338,820,
026,559,681,070,146,334,493,398,338,202,254,669,345,199,993,574,447,617,599,
310,462,492,868,195,687,698,383,041,657,557,888,213,867,441,714,590,830,287,
686,339,883,968,299,421,565,756,925,284,499,008,537,724,982,449,042,616,774,
128,798,474,641,904,453,495,776,080,171,151,902,339,834,024,154,030,809,035,
106,229,502,968,872,228,412,615,562,760,547,086,264,960,210,108,797,778,845,
233,739,453,539,497,980,324,108,637,901,083,934,497,542,393,883,808,763,967,
902,770,273,562,423,346,430,842,248,459,309,030,942,861,789,913,129,929,497,
335,168,173,632,533,392,992,758,236,517,380,661,999,302,386,889,141,649,018,
712,172,508,676,868,825,442,937,100,792,676,121,777,750,824,502,074,126,832,
306,850,620,966,143,039,596,591,991,981,737,979,485,475,259,030,039,098,119,
565,166,672,194,762,753,230,752,889,435,908,749,729,195,344,560,310,320,550,
750,596,799,977,355,332,874,753,563,098,356,799,126,355,134,426,215,304,870,
072,894,132,397,640,208,931,233,532,904,090,305,532,061,915,693,610,429,976,
398,622,453,021,046,092,803,467,397,180,501,011,967,266,579,312,380,479,446,
277,084,797,128,169,010,625,535,283,471,079,890,411,997,167,891,897,537,689,
539,533,238,702,576,846,480,122,201,997,150,010,441,276,253,825,788,567,990,
237,614,920,426,693,647,721,171,631,071,206,119,961,848,805,942,772,954,036,
315,483,540,552,718,374,349,716,809,938,195,914,726,703,636,799,349,179,386,
427,011,616,258,480,910,717,245,232,868,903,478,124,423,154,648,643,053,788,
801,629,422,912,086,437,132,529,229,916,337,194,267,719,776,407,509,218,042,
217,167,615,166,658,753,355,898,966,309,630,640,122,088,250,373,842,109,590,
557,190,271,915,256,155,036,794,362,056,210,432,154,249,247,793,423,875,711,
732,009,349,285,082,083,211,562,704,616,466,856,217,728,535,520,805,424,786,
076,367,053,506,523,661,799,916,258,063,553,580,600,714,982,431,216,877,414,
931,345,418,451,196,574,788,028,678,191,346,382,982,476,214,441,600,272,573,
870,822,282,797,351,710,633,126,046,743,557,647,195,617,939,264,449,990,266,
954,617,796,792,385,018,196,779,994,417,906,622,949,536,335,126,601,301,957,
106,073,343,396,892,678,037,045,042,694,231,122,428,275,609,106,897,669,697,
045,732,194,061,274,310,975,872,718,293,428,949,994,354,432,184,300,852,958,
832,858,953,335,964,909,876,800,439,853,145,560,498,274,209,648,307,442,453,
453,519,304,041,938,939,208,973,047,416,093,676,240,952,140,227,325,305,433,
608,232,003,606,529,640,978,130,086,151,383,043,454,309,988,809,200,869,036,
904,651,197,895,451,111,538,867,930,612,140,818,124,743,831,893,917,551,750,
704,017,786,055,236,213,918,299,166,580,459,078,236,670,716,678,951,602,256,
403,828,269,659,394,448,452,863,572,729,378,863,556,763,312,450,302,292,665,
402,940,217,264,797,701,232,176,197,837,580,755,024,205,647,146,470,217,028,
128,689,840,614,537,580,671,770,266,212,732,353,649,692,584,993,311,723,478,
754,867,282,517,854,329,255,883,069,677,212,223,119,990,989,347,558,793,507,
229,400,905,207,220,929,298,170,915,689,129,375,671,961,685,065,363,621,660,
237,651,833,034,072,164,135,433,998,994,741,736,927,937,058,396,555,539,218,
485,190,136,216,953,025,640,793,676,489,416,770,853,392,391,056,447,620,726,
094,521,298,981,901,785,765,480,240,030,367,292,017,657,931,717,267,724,485,
356,461,041,354,288,202,313,108,875,960,203,374,315,492,294,121,489,425,166,
392,063,504,641,028,327,579,644,927,116,519,443,528,565,834,159,024,773,888,
253,217,882,173,492,609,779,105,518,877,437,803,422,047,221,912,625,738,690,
250,994,161,863,808,764,171,267,420,752,252,484,444,199,554,692,808,030,983,
269,739,060,386,702,316,168,943,405,882,294,445,233,041,133,146,029,594,334,
100,979,736,110,500,882,632,251,893,273,942,612,454,677,174,387,290,118,449,
661,628,127,607,881,043,509,157,009,457,222,644,114,669,583,859,638,886,107,
565,977,061,810,548,798,926,719,136,623,996,197,015,074,222,059,734,513,514,
501,560,178,848,187,990,227,168,990,819,603,709,874,518,341,365,641,096,385,
492,248,034,151,655,709,055,411,670,661,862,768,109,065,779,636,784,125,911,
674,475,972,095,890,087,906,652,693,466,942,888,765,767,348,590,014,533,584,
896,245,935,759,747,998,334,397,689,234,647,210,122,455,173,022,199,401,239,
355,367,779,086,548,467,367,024,470,579,388,605,356,702,658,895,481,053,399,
451,779,182,172,496,781,401,121,770,996,096,722,157,662,685,431,933,787,142,
481,065,948,566,475,806,732,458,721,474,921,530,326,705,839,806,206,659,958,
651,823,423,377,421,018,395,936,224,299,171,304,351,221,227,652,981,086,228,
072,621,251,244,266,892,093,060,861,645,637,863,976,451,385,974,776,803,809,
532,861,585,021,878,007,460,386,828,226,734,657,190,903,611,688,593,871,125,
702,149,194,797,430,920,484,627,205,648,331,662,912,907,419,498,878,361,140,
273,380,546,897,078,222,944,073,784,726,200,453,908,787,061,786,947,598,516,
261,871,100,767,527,966,907,195,471,866,562,933,892,140,561,063,082,342,254,
893,114,161,424,080,256,653,768,599,138,451,798,414,728,099,344,806,466,526,
699,775,153,067,844,915,721,901,442,046,166,564,764,156,731,766,711,334,346,
539,333,009,383,695,633,273,284,686,942,658,000,203,780,173,141,995,304,711,
273,823,322,805,607,459,097,619,766,386,708,753,169,074,978,809,782,935,596,
867,450,648,942,818,943,617,094,500,432,237,011,169,540,902,897,884,651,885,
738,345,297,177,160,730,798,831,361,116,172,599,153,406,842,672,930,290,245,
634,406,736,758,349,832,567,363,069,539,534,921,841,899,168,614,860,998,708,
088,557,269,392,987,362,527,523,102,994,846,883,447,788,080,504,141,243,804,
686,838,716,473,701,923,992,859,776,827,829,547,281,620,621,927,512,083,897,
838,210,043,543,149,448,735,679,748,721,241,076,626,525,357,871,590,280,821,
441,163,978,809,145,324,651,003,639,742,176,730,188,472,926,509,260,954,975,
293,320,866,309,661,074,075,509,424,165,465,969,095,344,794,613,919,178,412,
965,729,763,195,131,088,599,336,644,960,193,681,412,687,192,614,588,194,914,
303,666,698,726,003,894,773,308,873,758,855,361,325,448,099,512,950,220,778,
847,710,255,837,888,764,503,168,586,100,015,826,167,896,421,207,104,409,772,
311,772,253,130,822,476,470,043,487,840,939,575,117,197,953,474,330,858,668,
168,327,004,847,301,844,388,317,636,629,193,040,204,328,093,413,546,254,642,
027,522,679,196,230,934,245,949,711,897,091,230,612,036,158,376,410,763,954,
160,028,080,245,549,469,412,920,629,365,309,676,019,756,141,905,460,313,967,
377,925,277,834,868,089,502,553,171,635,990,195,534,574,152,396,342,105,613,
881,986,193,188,973,274,949,475,274,791,156,147,518,701,964,722,196,344,286,
344,057,172,143,604,418,736,567,767,417,090,304,570,728,998,718,346,939,769,
705,919,310,498,102,287,604,831,625,312,004,647,345,726,615,540,201,805,385,
138,968,557,807,745,826,698,125,866,117,177,502,331,928,429,804,995,782,699,
538,963,018,048,393,994,393,052,585,591,425,077,978,902,757,382,095,893,744,
747,630,006,276,342,123,124,987,012,444,265,160,256,326,496,192,780,314,491,
999,149,025,561,649,733,186,861,351,396,496,383,941,783,739,118,684,705,080,
345,973,488,993,866,423,152,926,071,296,951,926,102,907,237,405,662,654,492,
896,396,426,678,568,871,833,342,505,029,065,929,232,996,093,141,411,372,569,
237,713,888,851,204,299,013,698,130,843,880,328,198,614,666,234,314,136,851,
375,339,799,055,700,749,568,242,536,549,647,900,749,179,763,448,504,446,951,
320,709,286,293,869,135,863,007,884,203,686,553,997,506,911,927,403,212,209,
896,697,084,637,691,427,812,435,569,808,764,443,846,021,918,036,371,739,944,
314,193,537,911,543,658,842,397,104,031,466,097,347,856,157,428,904,264,306,
748,358,587,908,655,310,221,656,233,474,712,973,392,093,844,314,368,390,798,
532,376,361,410,622,979,771,728,194,110,897,527,904,808,711,070,292,374,893,
029,436,313,774,992,937,740,265,765,262,566,754,417,062,310,675,073,029,212,
036,938,204,043,123,429,258,591,726,784,853,509,386,596,356,564,381,994,770,
497,246,020,250,490,029,281,366,649,851,549,866,939,471,053,143,479,895,775,
186,773,126,024,275,668,891,995,376,016,048,310,133,395,411,378,151,313,152,
229,962,017,320,772,400,616,890,519,344,592,569,157,393,577,214,377,978,069,
005,897,816,185,836,112,842,538,359,059,012,525,543,715,846,083,471,617,394,
730,478,868,567,802,966,704,268,949,958,017,658,542,114,622,462,517,615,481,
204,257,350,437,336,144,552,370,438,782,162,077,787,646,520,302,959,597,527,
205,589,738,760,800,187,281,201,346,418,999,525,193,554,124,199,973,058,441,
182,192,002,674,121,499,856,990,572,531,907,704,523,950,851,345,883,902,097,
392,997,656,340,007,848,606,803,869,700,716,445,888,159,195,611,292,673,123,
480,987,927,253,638,089,260,355,333,443,888,118,293,214,235,048,278,143,058,
996,292,189,926,479,190,154,818,214,020,396,534,407,469,944,098,688,722,038,
854,319,133,662,918,199,953,113,808,841,629,333,535,490,981,013,023,583,529,
460,860,384,848,914,994,698,858,164,912,096,939,508,423,135,962,788,414,540,
388,485,435,121,198,995,645,308,960,224,195,765,197,643,713,524,774,285,332,
516,488,755,987,438,225,887,277,158,925,449,883,678,471,202,687,694,255,470,
731,269,224,005,100,015,829,190,697,539,832,646,420,050,603,865,255,323,731,
014,648,521,609,081,346,812,087,760,593,338,972,432,556,336,153,085,351,277,
484,692,173,981,653,311,146,493,208,860,536,322,870,881,474,221,403,610,352,
210,836,944,932,815,124,519,898,195,679,094,375,169,785,082,873,006,864,423,
562,492,825,099,465,360,380,897,316,517,762,064,613,330,534,630,558,354,630,
313,513,935,635,450,097,181,403,770,601,953,307,514,657,935,386,744,591,399,
500,596,759,651,845,452,488,075,400,794,253,757,289,865,895,998,632,777,447,
456,662,928,479,727,163,010,822,743,062,210,763,544,692,140,837,546,225,936,
448,218,186,098,043,397,664,928,572,753,282,718,789,784,548,888,876,057,682,
290,336,707,493,386,931,324,545,476,541,973,813,454,956,046,787,258,638,625,
035,640,074,492,048,122,615,329,835,259,857,063,611,287,887,871,918,625,729,
272,254,925,638,111,304,079,723,574,854,821,840,091,957,919,444,370,620,469,
960,783,673,609,857,858,791,053,927,014,827,258,396,546,239,086,309,406,158,
357,664,426,043,965,336,299,182,089,014,012,464,721,365,125,310,136,332,779,
027,678,177,783,805,140,220,709,745,970,097,694,044,427,855,404,789,226,376,
861,566,497,816,961,940,308,329,234,934,078,245,305,125,449,037,291,617,481,
815,805,008,549,748,669,962,077,931,353,993,117,585,400,460,969,563,709,632,
262,028,751,321,723,383,435,204,998,229,736,762,622,147,686,775,052,276,489,
356,192,592,020,531,505,783,127,819,596,577,075,610,384,095,076,892,621,957,
541,267,177,970,686,360,747,519,264,144,370,950,105,902,937,316,675,506,474,
901,951,681,798,179,631,114,771,970,513,788,712,275,285,538,252,426,357,295,
085,453,131,684,994,122,520,956,815,554,500,988,241,846,264,340,919,258,409,
903,612,445,276,301,718,075,381,860,100,536,931,421,703,550,309,120,332,790,
583,687,099,280,741,929,671,245,752,342,837,083,201,824,028,429,254,125,929,
794,448,353,086,239,807,867,136,443,537,230,275,416,004,788,943,913,790,040,
509,246,674,827,424,529,601,110,994,206,887,104,259,793,854,404,433,645,349,
119,354,912,992,183,609,082,183,233,788,239,716,633,816,181,130,777,119,809,
745,115,748,890,471,906,363,413,108,926,334,412,270,901,113,516,366,101,028,
084,697,697,734,093,156,329,714,671,571,323,843,691,273,553,232,799,084,955,
304,487,306,758,066,794,224,612,461,476,220,073,860,474,321,362,617,288,831,
414,406,350,720,584,520,578,354,561,050,079,724,425,904,821,460,731,633,851,
567,167,368,027,433,118,588,439,726,446,488,530,473,148,683,134,465,029,020,
058,135,057,229,962,675,018,516,046,715,842,985,661,843,106,568,688,178,195,
034,772,906,167,454,136,846,517,654,857,093,617,691,405,543,964,855,902,526,
113,607,027,491,239,310,026,510,787,875,038,349,984,990,782,329,062,867,814,
105,837,025,674,666,471,910,509,529,483,459,747,079,327,731,975,924,132,388,
294,359,429,084,222,559,238,671,216,890,596,994,089,149,641,230,979,682,944,
422,303,396,221,961,172,232,851,313,555,706,049,272,409,974,001,504,069,214,
355,832,408,624,406,785,664,019,814,540,145,574,648,863,628,208,551,465,806,
630,387,505,939,069,618,255,577,108,212,050,337,312,428,908,717,669,481,711,
679,044,659,643,984,424,311,215,933,623,725,255,323,409,965,401,001,907,377,
423,432,145,503,471,620,961,267,831,678,451,063,541,642,692,770,368,858,100,
117,014,569,563,307,150,786,697,737,719,031,373,280,816,278,853,747,959,316,
677,184,929,335,781,569,544,170,917,801,349,443,063,988,721,610,126,157,728,
186,258,113,736,883,937,934,469,207,366,938,263,985,046,539,677,452,249,209,
008,087,108,301,099,085,974,122,069,771,496,091,960,087,703,205,010,353,336,
324,960,317,258,251,511,760,858,193,853,020,599,637,268,908,447,317,976,856,
975,024,635,257,213,510,195,331,771,997,634,659,550,844,728,830,358,532,655,
622,025,462,071,025,117,020,029,921,101,577,567,528,044,086,054,206,915,482,
978,446,037,565,318,036,246,403,559,822,997,807,204,868,231,182,531,872,953,
815,744,740,794,525,405,776,538,635,361,257,883,404,820,586,851,102,937,924,
407,706,886,321,681,540,661,622,894,881,729,018,054,988,198,517,617,814,199,
049,697,776,024,266,921,236,955,431,169,728,713,233,493,544,086,989,396,708,
136,114,989,996,706,440,858,578,229,744,060,517,808,960,132,994,496,321,607,
911,368,739,448,577,313,838,953,176,524,690,981,182,321,731,560,490,533,109,
383,843,939,325,704,462,560,594,750,346,236,206,686,374,561,611,361,782,908,
281,999,481,008,832,605,027,034,384,666,824,733,162,397,447,513,879,865,739,
508,847,640,705,890,060,409,321,968,867,709,254,159,654,656,617,432,536,005,
651,546,492,000,081,250,287,887,814,658,728,423,560,533,313,498,420,874,653,
324,494,354,485,586,045,236,945,698,712,934,778,345,642,410,193,306,440,701,
772,470,814,780,182,784,079,441,649,728,165,619,081,304,348,123,785,405,358,
062,062,601,616,162,237,880,428,838,592,400,060,258,259,393,133,819,679,075,
274,443,516,725,808,820,156,422,131,173,177,943,511,102,997,681,184,221,378,
152,340,927,995,508,416,779,302,077,891,854,372,927,426,699,323,659,700,832,
927,634,281,231,969,973,094,984,305,272,050,396,299,522,848,855,270,167,116,
381,436,005,697,564,725,046,454,538,015,560,696,473,431,818,227,241,513,991,
884,287,725,237,385,468,486,091,252,624,748,932,760,343,515,099,093,030,875,
526,759,712,197,698,506,291,926,082,520,103,946,774,492,380,213,892,659,363,
085,643,468,186,509,424,434,229,023,051,929,031,859,082,153,509,206,512,905,
852,667,907,610,074,286,248,129,154,310,932,614,711,707,166,139,088,743,945,
649,501,895,496,509,079,309,704,582,957,602,121,492,033,906,670,016,168,292,
956,814,563,583,069,518,969,465,357,991,453,879,862,941,521,770,748,468,512,
931,358,784,413,036,914,755,066,175,218,070,693,346,936,422,218,408,228,605,
583,749,601,037,536,176,439,162,230,582,047,093,879,678,837,180,045,830,342,
403,275,767,545,913,413,383,601,388,940,503,913,400,427,460,518,554,962,235,
094,803,794,123,226,621,575,510,452,816,316,288,109,254,422,573,829,738,689,
741,294,644,095,757,077,949,370,289,815,547,379,930,853,468,006,073,966,594,
330,069,996,265,455,647,892,873,190,027,662,857,836,757,793,234,129,588,997,
509,805,018,321,496,836,653,742,164,878,811,481,165,746,034,278,079,941,918,
101,806,960,779,210,224,890,965,208,474,103,076,105,786,445,684,501,611,089,
462,730,932,020,562,908,385,918,945,909,459,018,326,360,570,642,167,897,124,
315,903,601,527,815,478,768,580,302,578,514,802,316,529,559,753,528,518,086,
873,427,086,012,461,280,576,424,006,797,503,485,328,439,670,660,160,010,741,
275,057,204,480,857,811,981,431,127,998,032,494,373,282,037,141,120,296,707,
877,437,842,472,366,166,671,807,406,505,484,785,554,340,399,722,446,412,976,
770,199,469,208,775,369,894,047,504,702,030,491,392,462,069,139,402,183,379,
338,113,521,741,098,859,118,533,002,754,546,524,248,680,279,590,634,268,584,
603,859,883,286,520,922,496,510,294,244,958,151,105,640,817,557,743,459,772,
929,981,917,807,902,292,085,017,291,992,022,993,925,694,971,869,391,268,562,
709,846,038,183,351,466,701,828,297,750,612,371,484,758,753,849,669,592,513,
948,496,136,408,568,229,039,810,345,444,779,169,851,888,771,254,016,228,211,
413,576,008,182,218,361,693,186,813,713,554,089,711,230,887,536,682,234,076,
963,393,571,013,679,093,213,268,200,189,952,135,150,115,622,961,587,788,166,
855,167,442,690,666,635,174,305,394,347,219,946,726,153,091,402,972,506,953,
561,825,723,648,361,453,375,378,944,788,853,174,889,956,439,061,016,772,370,
288,847,679,115,881,497,096,082,573,401,770,831,447,704,962,919,945,785,724,
281,988,130,389,754,712,048,522,685,627,442,211,477,544,825,467,661,743,754,
841,778,661,422,446,410,058,441,172,839,227,123,448,210,165,097,895,319,960,
436,209,140,859,179,057,430,899,406,637,630,865,783,168,330,556,975,115,527,
006,093,954,075,932,648,596,960,519,461,583,916,214,229,945,718,962,858,321,
374,182,743,231,918,281,989,539,350,012,130,426,131,112,821,904,431,359,643,
319,581,520,705,737,699,277,845,403,244,335,251,106,624,495,178,425,949,453,
404,457,422,994,562,041,729,664,203,995,931,558,425,880,182,818,339,942,573,
750,859,007,081,425,126,969,554,635,471,544,278,983,260,009,906,629,790,453,
826,141,885,410,528,667,008,034,911,039,105,093,133,607,862,434,579,930,078,
971,282,508,496,783,882,255,625,373,387,328,485,934,450,636,518,895,992,735,
531,487,474,913,926,083,941,916,911,891,304,204,588,195,523,814,677,207,205,
707,204,330,887,605,745,677,349,874,876,494,834,781,172,391,155,403,885,403,
307,040,524,292,622,096,696,277,110,185,469,881,604,539,293,893,991,222,811,
942,099,533,173,153,924,205,031,576,729,978,103,755,543,766,900,250,902,723,
014,647,630,394,129,433,927,163,604,880,143,324,327,050,302,348,262,418,459,
508,999,929,572,700,428,318,190,655,877,460,634,002,707,335,443,037,254,622,
100,002,529,068,622,104,423,540,973,502,041,138,648,856,333,571,802,114,023,
968,736,601,323,655,508,527,170,508,895,792,683,635,167,087,395,435,078,871,
035,914,229,223,535,869,249,721,219,494,640,242,206,036,809,072,540,928,097,
915,265,805,292,779,135,736,188,523,500,117,841,430,925,911,924,997,366,784,
482,578,954,908,188,710,047,877,046,401,710,982,432,339,149,154,948,437,007,
401,141,864,720,908,582,928,483,796,791,958,069,513,347,495,110,363,335,893,
504,748,194,790,389,675,699,888,465,284,163,754,046,383,609,057,064,272,892,
758,338,943,035,942,371,212,973,935,331,661,430,470,543,297,534,569,641,717,
055,470,397,927,173,559,884,729,350,060,914,011,791,628,547,072,084,346,286,
327,077,905,835,328,293,981,193,542,246,607,950,350,519,979,973,285,086,879,
898,151,726,813,296,435,344,636,051,630,384,633,385,056,832,975,867,854,850,
337,569,279,870,626,735,652,867,193,686,204,822,661,997,862,930,177,427,951,
398,839,311,913,765,140,273,056,678,505,980,878,603,028,493,971,280,199,620,
337,346,342,531,007,580,382,990,475,912,665,747,611,168,434,888,587,069,241,
163,693,500,715,221,842,214,980,187,596,989,731,002,031,301,960,026,356,089,
715,494,022,583,966,920,449,389,495,288,650,041,124,692,469,959,171,589,916,
209,834,764,863,004,847,518,346,122,939,472,296,018,641,707,086,668,615,273,
684,175,501,572,815,140,286,808,462,838,658,968,922,781,308,629,801,732,138,
431,760,164,555,618,094,103,161,570,801,615,126,299,521,636,071,654,292,902,
199,065,232,942,627,417,275,635,195,970,168,346,493,967,503,344,604,259,878,
603,783,697,503,802,895,847,027,676,917,724,173,343,617,283,936,618,700,750,
883,484,844,296,996,250,865,742,953,559,060,443,843,720,321,906,396,912,081,
312,508,231,877,501,108,610,427,974,677,896,223,566,263,278,847,723,109,409,
866,430,967,469,765,731,692,504,098,000,492,028,189,443,420,928,057,367,722,
749,484,099,433,417,437,509,114,724,140,068,216,358,468,529,120,237,877,675,
174,370,630,465,044,923,747,523,371,294,254,836,008,470,518,360,118,793,120,
723,806,972,352,817,536,399,284,692,284,883,218,474,772,010,735,366,308,710,
949,802,931,809,696,816,660,521,578,242,463,319,393,556,337,380,230,270,003,
268,367,031,169,341,169,195,230,750,220,217,247,557,671,531,202,018,785,728,
544,616,143,652,799,664,792,688,197,324,443,560,745,325,856,560,103,705,246,
123,596,412,647,112,646,350,013,108,620,348,302,487,054,892,004,468,118,159,
430,513,803,794,920,155,577,811,755,055,186,964,900,766,791,246,453,051,683,
492,663,816,580,105,891,253,065,663,602,970,368,132,089,295,798,060,420,722,
477,195,095,998,229,541,474,774,517,691,510,478,921,487,610,746,933,068,359,
727,143,639,409,443,068,473,112,675,237,118,603,374,949,897,095,733,956,853,
779,696,048,291,027,904,108,565,595,594,523,095,665,035,916,181,812,182,849,
870,427,284,998,484,668,617,331,755,631,358,178,011,928,860,262,554,393,379,
640,548,626,057,704,626,915,334,932,896,883,397,455,377,071,900,906,784,871,
481,723,740,614,683,036,017,806,365,770,655,571,529,945,192,943,479,065,872,
393,768,322,250,517,311,881,680,226,764,178,563,906,492,203,715,260,618,366,
675,439,212,224,814,041,147,119,655,991,379,263,879,648,906,922,548,454,149,
172,382,291,671,002,928,429,681,424,318,451,259,990,636,928,377,087,429,324,
149,978,161,801,677,463,848,095,453,149,294,246,776,680,656,604,952,114,564,
941,788,276,033,995,814,178,565,156,398,711,033,320,628,439,787,474,137,143,
096,281,521,158,900,455,046,817,195,538,694,017,663,317,939,601,667,009,826,
561,582,781,239,735,396,311,215,973,249,217,856,831,239,881,255,937,225,467,
943,004,205,478,378,181,867,955,590,678,379,511,374,543,490,822,680,836,302,
513,210,413,908,427,269,806,153,140,185,723,999,954,938,714,100,112,255,406,
127,074,762,778,383,360,739,563,173,128,710,379,143,606,958,586,846,330,749,
018,013,946,344,390,997,838,836,874,118,794,049,351,484,057,618,375,816,052,
839,016,712,310,390,257,599,666,857,525,087,423,572,276,574,385,703,220,045,
210,223,245,775,723,273,187,997,102,044,098,595,133,156,788,460,330,458,462,
270,011,279,493,530,293,966,985,340,475,906,722,736,283,647,336,992,003,494,
359,172,784,868,717,565,580,147,715,717,809,420,663,814,428,810,731,412,156,
948,878,706,073,203,467,919,629,292,306,414,819,009,551,219,780,969,928,528,
621,296,487,539,007,725,967,434,803,120,834,629,183,688,680,073,149,573,736,
132,362,888,771,651,202,865,635,518,758,907,942,593,819,040,660,307,928,278,
650,478,383,049,589,898,711,487,758,090,155,684,042,036,671,622,387,630,118,
236,878,949,615,539,547,849,687,255,662,233,098,215,887,158,529,315,779,221,
621,445,549,521,598,026,396,827,198,363,019,680,561,444,413,832,240,899,489,
387,130,516,338,806,188,286,476,373,839,530,874,598,833,036,414,008,227,296,
945,713,148,415,160,566,539,827,613,752,577,405,551,344,106,676,265,415,197,
130,128,712,553,774,593,138,977,885,397,340,966,976,992,802,767,616,993,908,
665,693,850,508,551,781,355,746,204,807,803,471,709,181,547,811,467,640,375,
455,620,831,599,964,196,225,066,043,610,555,407,052,815,380,915,457,822,170,
085,381,182,875,133,719,415,172,656,661,196,138,278,886,248,737,289,372,059,
071,136,163,944,895,955,835,029,939,071,492,010,904,176,524,361,728,567,586,
039,180,489,071,490,996,223,449,098,850,456,068,765,047,778,786,179,934,758,
998,894,373,540,536,424,092,673,601,912,917,533,807,445,234,381,227,535,714,
780,377,878,062,644,881,607,982,822,568,165,288,590,652,306,503,006,394,428,
474,634,231,213,735,214,718,888,675,939,739,702,195,818,762,578,222,860,016,
148,267,568,495,436,125,016,139,436,285,945,996,006,207,616,356,022,906,849,
612,472,301,944,484,629,052,341,853,720,472,651,924,168,833,391,379,778,224,
936,942,884,352,736,216,382,373,502,271,906,734,920,613,870,570,336,840,245,
600,241,350,471,092,590,382,517,815,582,867,111,858,252,646,655,867,798,859,
741,785,320,052,049,777,757,700,589,458,812,429,374,142,568,560,016,602,698,
405,261,652,078,289,453,759,463,930,820,716,202,113,587,810,120,603,716,336,
168,079,107,388,384,467,558,378,498,529,577,113,765,759,713,993,658,746,468,
193,315,681,599,184,107,098,641,266,485,362,840,077,987,813,759,981,597,261,
260,030,255,860,134,819,371,742,259,690,802,658,128,393,375,784,955,460,269,
261,964,908,232,097,544,205,167,992,236,798,745,283,679,217,274,205,566,837,
831,972,154,810,167,691,292,214,357,438,474,329,884,280,548,403,259,692,739,
943,691,709,375,363,964,655,561,957,232,304,033,558,349,141,742,101,537,617,
142,582,262,484,175,483,116,116,070,926,834,570,227,231,767,144,103,729,174,
755,508,850,038,348,479,327,051,466,915,295,537,593,461,941,763,850,258,341,
247,022,903,401,344,611,263,681,932,895,416,475,584,064,486,051,638,084,135,
546,660,173,615,269,162,189,855,548,820,658,790,544,028,360,015,950,440,924,
610,272,546,209,676,277,480,255,374,179,475,010,814,979,861,147,915,863,073,
520,005,571,356,732,301,702,554,652,442,305,347,426,290,443,143,773,824,066,
673,857,516,675,189,080,991,840,919,241,511,514,619,624,819,635,420,024,133,
319,119,959,908,400,847,965,465,772,299,612,063,615,201,909,877,270,644,835,
488,195,418,788,995,556,711,150,450,646,110,212,646,975,254,713,265,065,175,
090,835,142,927,834,041,948,864,292,313,057,682,784,258,620,715,059,836,054,
590,276,833,615,146,102,379,234,044,128,210,867,736,470,871,996,406,961,182,
004,595,095,105,692,468,039,766,798,071,389,234,135,373,278,402,597,310,900,
364,807,934,884,812,122,619,875,086,876,434,033,396,446,891,627,334,983,562,
166,249,209,169,761,422,665,826,416,912,968,836,544,853,348,057,464,407,648,
456,007,882,143,793,863,580,080,641,556,393,342,613,265,746,290,044,340,612,
687,327,426,442,477,170,739,211,672,217,663,473,661,066,404,496,405,857,997,
909,347,485,724,637,077,914,335,461,247,520,286,613,058,615,891,459,578,410,
312,585,836,951,921,761,507,195,204,002,138,151,401,497,236,775,547,357,367,
644,849,606,697,880,155,352,060,262,073,113,292,023,942,016,000,819,317,030,
476,155,267,831,437,343,957,268,521,585,766,636,856,734,950,328,897,894,476,
327,420,065,518,625,089,013,548,110,893,841,238,984,584,886,116,764,429,384,
935,638,964,128,826,313,553,693,243,131,759,919,356,419,687,706,691,720,644,
570,375,253,037,322,477,268,328,931,696,528,971,335,239,002,136,714,418,647,
659,416,521,893,710,923,893,431,128,869,075,778,382,778,551,715,745,848,994,
432,901,949,008,857,733,242,409,741,547,660,137,911,269,124,030,152,768,321,
423,183,630,029,418,495,836,094,119,043,436,680,479,244,470,601,416,010,950,
436,497,909,004,091,035,981,270,985,261,104,231,691,722,606,452,902,584,120,
290,784,482,601,361,325,908,312,381,719,999,526,148,035,234,589,509,485,072,
403,165,594,456,178,383,210,742,189,744,970,943,028,345,196,300,143,955,723,
781,093,651,703,123,023,830,458,374,913,586,390,139,501,550,737,737,903,418,
381,681,987,050,299,234,505,178,751,767,837,193,695,638,219,467,147,093,597,
058,447,678,854,553,953,624,201,213,405,461,201,907,348,090,267,338,060,457,
225,205,450,917,565,459,566,039,306,539,218,810,507,588,899,799,413,382,668,
142,993,560,332,365,920,967,198,931,588,007,198,816,119,454,091,851,591,463,
889,884,129,676,119,700,651,158,946,775,555,786,626,611,278,661,765,428,846,
408,505,427,489,054,051,218,381,704,879,338,039,446,940,752,810,056,444,869,
935,803,294,678,340,571,497,837,184,507,066,927,063,451,707,418,668,507,551,
367,890,952,952,276,363,993,656,077,530,804,987,478,189,979,072,249,345,893,
029,737,448,510,691,152,131,010,822,257,215,665,939,254,109,521,495,613,688,
310,168,655,549,006,407,687,800,049,458,653,827,691,540,427,955,115,397,533,
573,538,654,205,191,119,322,802,540,388,426,017,441,099,664,510,861,734,640,
956,551,436,445,407,521,281,776,430,009,239,250,337,725,050,851,751,157,801,
230,493,430,530,577,781,465,781,882,854,263,383,054,183,521,577,692,741,285,
636,641,025,804,294,690,100,180,138,868,195,166,767,019,212,066,553,900,211,
717,437,860,829,077,960,807,765,552,048,406,571,231,810,984,835,131,574,403,
716,259,183,218,869,112,599,162,844,999,538,731,533,200,513,012,425,160,224,
252,718,544,703,331,263,223,261,399,407,341,286,970,083,199,303,370,934,324,
451,361,270,688,150,163,562,582,289,625,026,533,324,697,238,723,363,245,319,
830,695,852,288,294,271,823,075,695,529,326,076,257,024,966,924,494,569,428,
461,130,894,862,437,240,597,547,509,224,594,486,937,589,360,841,548,578,550,
737,684,471,823,053,064,400,053,966,951,124,612,964,908,846,239,318,398,356,
040,523,781,709,338,418,994,068,021,166,045,360,880,254,666,738,896,955,708,
569,970,770,362,558,270,595,868,582,027,820,659,642,224,441,493,187,201,856,
340,941,343,389,687,107,521,320,449,052,883,991,332,987,909,050,866,152,374,
901,491,144,810,965,523,237,939,549,848,263,858,404,625,448,830,581,230,664,
357,882,834,627,097,899,378,404,665,299,539,157,899,970,177,210,526,090,188,
841,995,565,470,348,729,713,878,985,332,165,726,393,827,127,472,838,646,100,
390,475,805,795,986,426,805,433,324,470,347,025,429,259,968,589,835,262,367,
161,505,104,608,554,833,368,052,604,335,965,511,743,132,446,293,258,782,864,
904,214,968,630,861,972,399,593,602,782,330,331,193,690,433,383,354,497,999,
289,782,209,586,850,491,522,722,939,291,987,643,295,072,292,512,776,064,115,
036,027,387,681,100,830,903,941,376,215,871,833,834,204,241,691,547,079,748,
716,382,305,418,862,071,173,555,769,833,903,886,327,716,971,604,917,982,164,
542,915,917,266,148,001,362,858,957,046,487,837,980,867,807,417,191,949,653,
838,341,108,297,788,269,301,486,467,409,452,076,316,608,612,867,721,025,100,
424,158,419,841,323,213,863,484,771,135,475,690,388,513,635,500,699,384,361,
221,355,747,519,847,082,200,323,365,637,078,187,279,629,995,962,327,107,146,
887,947,700,902,108,576,339,342,644,008,191,371,893,554,762,507,855,264,917,
805,357,848,435,850,359,184,229,401,399,370,479,595,214,501,055,609,662,676,
933,084,760,655,698,250,568,537,262,710,375,142,412,967,103,475,694,897,377,
967,652,361,795,101,103,291,744,501,432,964,074,791,805,361,729,507,293,581,
745,603,340,539,865,310,792,097,950,444,815,975,005,232,917,922,062,299,266,
753,607,344,707,969,358,116,465,475,327,414,114,162,112,611,899,861,666,875,
241,426,918,018,672,034,730,400,521,888,363,741,640,008,517,882,788,008,002,
893,785,967,627,405,668,479,998,069,673,989,412,474,359,803,892,531,436,603,
372,301,062,226,767,501,186,686,305,850,814,428,873,767,996,982,246,111,220,
259,824,882,411,925,262,439,491,069,644,696,811,647,647,281,634,014,870,589,
639,042,384,816,871,404,043,014,155,815,969,973,674,689,961,275,146,141,911,
274,309,558,141,996,310,096,327,329,875,685,141,560,684,159,730,902,568,205,
538,364,912,285,722,547,449,830,653,763,002,547,302,266,312,304,593,332,891,
469,294,025,666,327,627,205,702,019,557,052,671,853,403,397,359,474,991,685,
544,192,783,769,188,746,346,105,923,643,547,375,142,325,646,642,633,147,385,
593,177,162,293,505,312,532,727,577,781,584,865,450,940,304,080,728,650,813,
516,716,718,146,942,979,895,626,925,231,022,785,662,156,929,081,350,806,926,
117,016,754,043,426,687,972,781,230,152,920,053,329,230,932,846,405,016,078,
046,955,711,940,840,664,632,543,917,450,868,059,853,090,146,290,637,262,945,
234,663,283,135,012,034,268,791,621,036,301,297,299,696,685,876,241,023,410,
217,273,760,832,754,870,930,606,424,498,238,400,752,673,223,943,326,250,851,
375,106,670,336,635,275,320,761,624,539,089,610,535,753,812,719,190,531,140,
428,848,581,508,882,225,261,526,817,027,829,423,378,799,596,934,107,964,998,
502,124,446,634,028,746,022,836,018,973,976,365,300,035,467,794,286,303,377,
526,443,454,888,508,379,951,779,567,981,886,122,395,487,746,551,428,244,994,
758,149,554,518,126,033,327,226,502,541,703,421,098,916,650,312,937,413,018,
749,614,271,062,140,259,191,149,388,530,124,894,861,966,747,713,231,788,518,
688,319,842,623,316,376,197,883,084,163,110,187,932,212,557,201,736,556,629,
246,325,650,034,677,235,289,343,190,837,156,978,359,894,257,731,968,222,064,
878,953,849,691,673,044,649,800,354,997,661,424,002,601,949,950,551,935,999,
065,149,173,645,616,684,249,095,851,046,436,448,900,175,562,336,561,932,183,
935,805,520,095,094,142,142,387,378,156,804,242,377,296,227,555,857,200,729,
423,650,327,430,518,343,843,708,956,802,605,400,862,551,258,220,914,052,372,
205,621,151,963,760,048,914,237,436,719,911,982,648,745,535,862,683,274,591,
016,582,023,212,654,620,784,635,714,550,025,741,673,120,952,748,175,888,133,
343,125,442,256,782,040,556,259,569,315,108,827,350,971,183,658,686,118,315,
729,332,407,731,076,674,340,412,530,528,555,029,081,739,455,115,732,382,955,
973,983,716,376,986,334,017,519,824,280,271,468,350,827,288,381,770,075,369,
380,521,894,850,024,441,609,670,346,802,906,931,996,570,606,262,646,521,920,
506,163,669,790,687,588,003,103,738,350,896,470,678,864,626,277,264,738,858,
930,384,211,907,690,908,969,148,273,007,174,077,724,546,875,038,121,529,070,
587,085,133,743,840,293,076,735,847,694,350,707,061,328,522,002,459,620,931,
598,930,243,656,866,220,215,606,544,998,169,061,677,910,048,656,088,618,328,
085,449,523,990,473,449,917,875,321,427,811,685,314,672,071,232,871,090,283,
797,519,224,461,362,057,694,173,828,174,547,311,364,592,156,041,130,933,100,
520,760,235,497,294,308,963,550,866,333,066,794,791,036,928,695,236,131,452,
078,116,755,762,007,403,950,840,731,776,922,666,885,120,566,218,528,582,454,
305,541,599,490,110,382,014,199,698,400,778,211,820,586,618,739,254,997,833,
237,149,601,958,975,124,922,921,362,379,342,471,903,157,056,582,317,236,072,
563,082,301,823,345,580,107,022,523,314,962,663,433,953,610,309,537,859,732,
649,577,778,656,790,843,196,510,446,685,400,593,306,103,826,241,690,967,374,
874,249,361,346,485,873,297,833,693,387,867,073,439,004,773,908,864,846,546,
812,669,825,331,851,406,310,986,083,194,411,701,651,866,847,918,371,568,139,
159,476,253,613,631,468,239,050,748,615,320,095,477,822,574,055,185,586,195,
581,697,569,976,475,938,880,413,279,047,608,134,647,459,267,565,798,471,325,
401,905,909,546,835,543,754,471,108,400,318,586,373,714,099,607,461,249,713,
740,487,558,354,972,683,612,509,495,745,662,396,197,255,177,068,006,753,507,
484,779,698,551,210,738,479,845,638,184,771,609,158,070,874,399,992,331,466,
841,602,440,734,678,693,442,442,958,210,286,053,942,923,812,610,305,685,633,
033,424,098,691,891,769,369,197,113,764,981,216,505,949,840,799,527,827,173,
629,841,420,381,367,357,809,438,835,472,088,841,512,728,739,828,640,512,200,
185,802,262,882,998,605,182,367,683,118,278,686,256,851,114,415,917,886,323,
879,738,014,252,067,515,148,162,789,587,162,532,584,266,909,242,143,037,865,
540,173,874,489,078,012,639,695,262,127,643,420,828,055,333,028,683,281,038,
210,020,070,632,403,986,499,206,748,694,553,409,035,171,755,347,191,082,473,
054,547,094,712,417,088,231,516,695,431,411,625,752,359,265,134,029,935,952,
922,890,136,967,422,688,094,561,213,107,868,723,895,774,456,974,141,855,351,
959,321,146,704,270,938,335,858,646,826,267,000,284,963,489,706,657,424,369,
500,011,976,949,356,442,745,167,938,584,953,241,890,381,883,943,391,786,191,
376,072,585,977,732,722,124,937,786,657,208,883,211,390,814,177,421,709,728,
258,361,567,916,182,482,214,729,967,800,273,290,622,300,259,755,576,144,440,
334,799,011,439,214,528,809,317,741,567,178,633,970,638,376,414,053,784,616,
241,409,474,773,842,536,646,007,786,183,279,194,102,605,588,439,614,052,189,
966,997,682,502,150,257,390,649,825,361,261,285,093,479,964,625,480,282,572,
404,827,467,159,045,914,334,126,759,241,765,587,254,852,489,347,140,903,672,
722,199,719,471,819,778,277,306,327,547,218,335,851,395,197,059,309,627,308,
046,881,693,851,253,507,849,988,203,612,921,672,324,918,416,737,171,950,758,
872,774,768,127,534,145,013,436,540,961,340,396,844,570,006,210,663,337,612,
660,354,161,931,616,774,858,628,135,155,907,407,532,321,005,152,374,643,574,
203,275,287,586,785,144,018,636,140,768,409,445,095,649,999,620,997,815,196,
236,122,481,849,799,960,330,427,119,730,878,011,435,732,703,751,073,204,780,
386,996,531,818,599,517,726,111,337,956,957,027,468,492,906,109,714,784,228,
385,289,124,590,028,058,611,635,393,443,823,469,987,812,169,275,719,836,981,
184,264,198,543,864,574,303,704,658,147,217,141,967,731,472,759,822,730,551,
448,413,711,568,409,984,855,467,837,865,565,653,892,884,883,273,639,838,218,
799,425,148,144,759,809,298,638,772,308,154,054,016,411,922,518,229,766,578,
708,714,510,677,764,953,916,743,527,294,367,809,966,380,710,982,178,585,671,
657,698,430,133,508,938,192,331,594,506,679,808,747,342,367,525,710,401,974,
520,290,098,873,224,842,580,381,995,208,090,614,425,956,831,485,854,598,016,
613,936,480,093,385,324,641,391,759,211,632,161,050,680,447,357,933,040,238,
937,226,562,612,515,419,030,463,431,305,548,041,308,786,240,928,850,513,860,
386,380,969,918,893,722,309,251,114,859,289,558,882,363,684,240,530,463,056,
945,983,134,587,649,344,802,584,356,907,795,719,043,722,669,311,784,694,321,
929,364,934,635,732,689,454,037,369,802,161,867,080,434,567,210,550,670,892,
213,077,722,524,054,966,470,810,437,325,002,246,905,858,161,488,689,554,220,
865,606,891,422,249,319,571,881,410,906,941,942,970,530,099,250,567,071,014,
957,679,269,389,335,718,957,228,451,456,864,769,262,387,737,606,670,173,664,
487,244,903,838,622,977,065,785,639,027,523,558,091,789,614,506,792,428,767,
247,273,012,207,002,258,727,771,191,621,864,910,893,777,595,460,590,007,087,
176,973,689,004,895,310,079,346,499,278,342,046,716,026,386,027,287,767,778,
329,539,207,228,985,435,522,999,708,326,859,775,301,941,918,056,069,547,515,
311,000,934,886,699,724,044,104,633,843,343,286,604,711,995,971,492,501,372,
223,485,511,703,245,151,014,932,810,488,076,181,539,880,596,570,759,376,925,
979,370,486,175,661,667,516,301,655,639,084,641,880,996,024,548,540,439,225,
717,449,235,008,726,369,258,630,965,875,997,916,745,237,247,643,748,775,513,
962,174,403,876,069,876,569,044,352,408,568,984,308,702,539,532,500,199,248,
638,202,447,383,189,516,516,120,636,871,526,887,707,541,098,782,805,040,913,
638,313,087,945,685,172,676,542,520,342,510,313,778,955,845,069,709,370,359,
098,273,297,268,282,042,374,792,545,996,045,855,636,268,687,807,752,315,998,
893,389,407,248,567,779,548,218,658,573,240,035,916,807,265,512,095,726,390,
180,429,325,101,436,312,227,161,059,893,332,656,373,861,362,319,260,886,033,
742,539,509,055,038,976,975,935,217,091,520,356,844,957,274,356,800,448,237,
062,674,013,869,678,082,407,429,596,084,980,848,587,023,674,384,081,161,221,
951,925,356,310,390,265,842,836,867,034,628,984,785,327,174,839,805,846,686,
476,315,596,560,731,134,181,070,685,678,661,427,154,311,265,082,603,824,529,
686,955,430,465,189,494,607,227,526,545,414,039,892,016,386,647,363,783,690,
011,902,283,418,331,934,353,119,345,172,054,271,991,597,666,343,359,980,468,
906,616,536,020,585,782,126,249,872,525,908,354,566,842,201,502,020,579,818,
935,020,479,229,088,558,075,735,018,423,452,741,585,810,103,885,336,043,021,
066,203,852,468,418,101,842,328,103,643,158,313,196,517,375,812,180,957,231,
757,879,916,551,181,667,532,352,404,062,252,453,810,416,774,121,015,309,794,
606,561,931,992,709,318,178,983,277,831,905,707,895,672,845,864,457,049,474,
792,828,060,762,462,936,113,008,347,001,036,988,951,095,944,184,787,958,452,
347,658,125,020,421,914,148,272,637,322,443,130,912,741,848,791,303,138,826,
588,898,486,657,497,856,098,018,202,892,898,667,223,810,219,474,070,948,925,
990,185,351,090,471,850,048,399,605,060,324,179,054,798,885,785,785,622,714,
949,506,672,965,422,415,719,436,362,221,630,348,507,802,745,315,748,872,043,
606,237,422,010,521,448,800,025,033,052,994,953,519,072,274,138,791,089,186,
258,114,156,148,653,044,853,725,528,915,482,497,293,992,613,954,447,385,764,
723,461,334,209,917,980,133,622,629,534,698,371,581,802,714,021,905,618,209,
727,633,164,379,941,622,232,771,533,978,353,830,371,565,989,532,937,512,845,
569,234,329,495,345,945,099,214,001,840,920,458,950,542,431,801,986,649,771,
093,795,471,791,349,689,617,557,986,329,153,430,955,858,230,885,646,158,865,
801,025,932,397,378,090,679,220,805,691,934,811,427,861,171,784,239,339,435,
002,585,458,971,722,127,367,101,461,155,880,881,808,617,759,956,666,717,068,
199,439,362,709,947,898,756,447,512,255,231,037,161,645,296,230,539,363,032,
609,032,523,210,413,924,772,484,337,441,760,293,724,589,972,009,912,046,331,
812,810,606,690,663,434,321,673,739,312,139,581,747,915,564,391,258,183,189,
532,781,295,987,163,465,914,237,311,413,219,666,411,654,765,163,842,812,486,
568,891,667,267,928,996,261,812,970,223,033,033,190,227,669,240,322,774,333,
218,749,190,384,952,037,300,069,678,775,431,465,293,521,596,630,884,875,952,
283,494,296,663,869,933,903,674,526,002,938,745,321,437,234,637,642,470,958,
654,080,084,266,314,411,574,984,606,281,838,563,375,494,509,037,136,544,222,
208,666,263,976,831,154,894,206,193,509,009,362,058,394,592,412,232,021,745,
185,207,297,237,480,675,980,062,605,167,791,271,592,274,915,483,425,520,042,
992,041,490,407,260,135,568,498,274,813,924,218,730,189,037,260,305,708,174,
577,656,901,386,880,671,696,909,130,107,546,271,911,780,360,638,241,656,794,
589,315,246,584,696,639,114,688,256,869,680,095,248,562,236,203,371,570,819,
086,969,435,085,846,899,152,338,742,752,865,514,746,499,670,464,188,320,192,
680,868,374,532,602,341,314,552,215,584,312,133,412,530,457,300,527,868,230,
440,789,974,305,264,888,695,909,536,111,614,343,766,548,477,136,200,054,118,
465,479,089,158,890,125,319,005,526,408,757,981,433,520,731,682,600,134,829,
331,127,828,940,220,477,641,325,266,379,394,234,131,822,523,451,719,222,550,
019,141,816,907,342,374,379,131,052,349,837,234,331,059,251,319,879,695,927,
672,735,739,933,339,351,186,831,933,048,980,984,088,604,351,351,277,484,893,
610,238,006,887,881,561,761,704,538,708,507,142,808,958,818,301,903,802,246,
708,254,742,601,263,798,393,731,453,419,358,096,688,400,197,980,215,011,306,
481,540,374,955,688,263,894,415,203,411,260,403,548,011,261,033,931,882,945,
662,198,356,891,695,260,528,018,676,139,332,714,373,948,500,653,890,022,510,
222,428,076,694,214,932,108,707,297,810,993,122,026,005,706,940,716,779,694,
576,053,866,491,430,128,174,139,447,958,417,708,313,030,234,545,286,985,610,
128,759,742,057,520,904,235,290,483,188,773,138,035,397,755,020,792,999,564,
379,678,367,350,651,406,574,820,863,787,415,933,947,229,311,200,325,387,130,
779,484,484,305,742,916,869,560,884,271,816,238,696,049,871,203,462,561,702,
319,647,619,422,011,952,119,519,496,778,567,066,714,217,459,569,958,253,612,
526,379,915,136,704,702,250,734,682,890,033,863,731,506,841,278,921,461,231,
357,372,380,252,575,958,754,854,393,605,670,278,655,221,589,580,135,229,768,
017,591,371,791,989,978,136,119,838,208,729,200,608,098,773,977,756,674,276,
436,116,887,970,657,943,837,358,242,984,165,131,005,245,283,799,013,847,382,
423,646,251,677,012,589,184,849,667,131,891,577,545,571,920,298,906,414,241,
228,483,642,166,876,382,416,116,711,625,163,264,034,125,068,573,505,860,257,
867,865,587,980,479,504,880,249,102,343,635,475,046,862,950,022,262,483,931,
815,069,998,105,643,628,859,535,170,748,006,081,604,769,541,878,692,741,915,
655,949,831,325,686,039,029,072,343,250,515,296,426,039,432,665,227,331,793,
533,241,114,407,008,858,564,288,873,873,690,843,850,421,257,780,000,441,798,
531,041,909,596,870,940,856,132,772,979,522,333,901,946,586,529,583,802,167,
838,073,616,317,853,184,706,308,650,895,528,101,573,834,789,741,879,078,326,
250,009,714,026,027,293,486,190,747,184,157,584,990,704,676,244,940,616,549,
227,420,247,837,788,655,878,416,573,171,995,889,590,664,815,426,652,298,241,
886,114,019,145,036,731,921,182,607,921,908,405,604,277,904,046,482,076,306,
314,528,544,294,552,059,351,396,747,960,439,464,104,670,753,725,151,373,918,
806,754,060,496,172,183,561,923,586,180,474,323,447,791,643,009,833,209,399,
490,462,789,225,763,383,759,134,630,220,073,218,362,719,602,860,447,503,131,
824,313,734,528,387,914,138,894,649,917,585,516,872,766,276,632,545,860,055,
187,966,603,471,025,736,242,042,963,559,901,906,874,778,675,317,020,392,737,
862,778,828,271,601,844,435,656,285,235,457,718,056,238,307,197,129,149,042,
970,583,159,771,529,786,314,138,346,755,334,027,334,145,663,370,293,275,872,
150,219,278,059,022,884,052,064,608,937,918,040,136,710,963,333,572,943,651,
534,951,887,558,147,396,580,771,057,257,019,520,999,754,665,913,884,250,890,
207,456,994,588,950,995,597,594,886,897,694,404,716,577,243,006,041,669,458,
178,170,226,273,360,163,240,339,280,345,863,234,200,117,346,801,959,129,471,
120,921,666,578,730,584,699,551,973,300,857,740,040,313,069,774,644,793,061,
196,998,786,736,877,564,273,158,140,418,906,686,625,821,089,255,889,656,163,
675,124,949,105,495,500,781,637,099,379,873,489,451,645,799,424,173,289,595,
606,965,619,378,692,254,070,888,225,126,060,084,374,567,100,103,521,892,675,
026,944,872,697,417,498,661,416,553,521,203,772,356,490,231,696,419,083,832,
374,573,098,579,291,096,682,042,416,812,771,567,420,349,999,916,937,406,898,
446,339,384,985,381,655,971,774,258,611,830,543,887,506,138,076,944,593,290,
076,064,516,700,916,317,266,115,044,661,462,260,334,180,522,445,146,242,549,
944,932,528,198,578,827,860,659,275,141,265,118,615,879,082,629,559,234,557,
514,030,930,276,835,008,675,807,724,550,450,048,760,016,488,273,649,919,127,
477,882,833,328,819,243,242,650,363,255,223,463,672,314,445,546,071,855,656,
240,690,780,202,676,403,553,132,081,660,681,146,974,458,770,009,568,575,566,
878,696,957,631,933,442,783,039,421,668,257,345,659,332,761,039,675,617,032,
072,335,744,668,897,961,996,509,030,278,950,782,963,458,273,226,686,271,359,
084,301,009,648,623,544,586,211,721,480,295,501,126,324,283,636,500,326,088,
697,149,569,951,142,807,010,442,611,848,221,929,155,412,799,895,350,478,075,
679,218,881,301,784,447,354,991,540,404,751,726,586,560,706,189,405,308,970,
892,091,924,370,347,682,861,002,871,303,059,255,745,428,938,359,511,595,265,
340,587,242,698,584,969,520,067,483,680,613,121,536,808,812,016,136,616,435,
187,786,465,252,675,337,008,843,439,010,032,558,450,762,867,516,287,472,521,
805,090,272,460,631,026,338,111,942,427,464,874,828,261,764,736,943,907,678,
682,403,397,937,427,122,110,492,287,483,338,292,833,801,871,342,631,226,811,
172,482,746,387,651,396,102,298,691,619,694,821,016,072,197,527,942,140,550,
343,121,962,445,557,510,293,041,827,714,479,736,753,506,933,175,391,662,314,
696,636,154,278,503,458,933,699,508,117,471,505,716,919,091,835,214,558,043,
712,806,980,540,299,048,379,893,628,467,298,388,047,532,104,575,281,108,998,
033,715,366,023,494,430,088,048,175,491,393,679,145,174,739,095,719,335,238,
476,613,381,484,056,008,982,140,153,370,886,022,157,583,167,094,948,378,556,
154,172,044,815,905,639,208,635,016,959,302,289,546,332,988,558,055,253,821,
116,094,263,114,466,989,385,913,690,041,626,969,199,733,376,487,521,421,965,
283,053,079,143,158,946,851,842,203,534,273,449,206,992,541,923,764,105,685,
577,586,637,772,621,989,994,188,326,385,237,542,473,985,343,593,766,614,717,
468,968,287,667,541,500,270,942,345,715,193,209,092,533,644,884,331,558,860,
868,477,917,537,183,962,050,210,365,858,777,950,520,681,579,096,298,634,829,
479,183,412,269,164,715,788,016,672,821,736,511,343,553,744,848,638,372,321,
087,709,565,404,919,808,908,169,478,761,783,584,995,123,388,800,832,776,652,
882,015,661,263,866,963,533,280,524,615,945,738,935,202,519,917,783,568,886,
356,868,873,657,031,746,630,183,229,989,226,982,843,739,685,496,362,630,931,
388,889,261,832,832,426,490,334,019,816,632,338,581,513,173,811,779,286,641,
271,109,417,216,227,466,084,812,041,850,703,838,283,619,735,169,509,072,766,
766,266,212,162,827,844,280,664,257,387,530,515,669,067,376,686,009,338,501,
491,471,978,169,865,209,738,615,082,249,254,312,950,116,960,436,983,911,566,
850,325,527,896,708,912,950,800,395,334,688,031,806,516,715,939,618,770,759,
877,411,180,051,828,917,645,288,384,749,032,083,317,736,607,187,837,930,376,
936,493,536,460,403,766,138,121,941,160,366,029,872,218,385,024,434,687,500,
800,531,403,725,128,906,065,214,345,884,413,432,008,193,520,419,550,932,390,
651,893,838,117,130,065,809,819,784,826,412,930,683,514,490,992,222,995,980,
605,521,506,040,404,823,781,513,479,941,900,094,366,487,975,738,865,097,553,
171,602,365,656,693,789,569,179,924,043,277,248,642,904,260,750,779,433,873,
654,081,528,588,794,360,097,773,345,315,590,690,718,606,374,066,063,246,359,
507,014,490,797,893,519,720,862,501,980,408,302,602,206,816,570,588,049,194,
969,696,024,603,779,315,803,859,607,299,088,765,961,678,899,990,193,278,574,
595,417,925,967,888,452,216,923,745,886,544,348,449,265,247,047,091,019,771,
240,842,847,195,496,060,192,699,798,179,824,110,617,141,278,091,802,970,928,
394,875,959,702,644,492,961,925,469,695,229,917,385,000,834,823,461,595,911,
804,506,576,185,958,372,374,438,224,402,262,093,280,414,324,713,432,475,584,
676,337,891,498,037,271,902,954,004,126,559,880,281,269,980,743,547,382,122,
531,350,409,400,688,122,323,395,994,170,725,059,348,631,630,390,926,788,314,
577,389,309,399,232,351,285,265,403,269,237,442,488,547,834,113,582,942,472,
228,605,394,675,897,667,271,556,371,232,328,591,239,093,550,841,653,697,971,
251,439,198,909,873,160,157,196,972,245,164,354,473,877,953,003,339,093,373,
033,430,936,876,142,138,987,201,983,077,189,129,600,852,556,071,008,727,306,
904,840,563,215,508,867,936,344,735,994,551,753,138,311,977,383,155,129,847,
796,270,703,323,114,793,559,085,255,904,719,792,806,714,866,338,209,266,910,
294,825,535,661,674,841,844,564,099,341,873,005,386,342,769,213,518,644,292,
923,174,939,840,134,465,828,497,006,573,628,513,731,991,550,997,451,862,371,
608,206,065,245,449,027,256,530,385,273,853,381,688,721,617,092,168,753,968,
867,674,340,880,916,275,343,249,500,840,134,716,460,473,998,062,943,381,479,
584,748,201,442,698,025,104,596,468,685,381,214,791,665,202,430,667,093,735,
460,580,890,315,476,869,654,474,793,000,517,541,071,533,936,861,102,252,454,
768,189,129,177,526,592,123,206,137,554,693,447,490,909,086,178,247,920,671,
134,535,643,300,743,971,335,546,297,036,355,378,065,593,665,641,573,094,941,
197,146,585,370,124,219,812,385,461,237,070,196,117,079,707,193,367,617,395,
876,756,728,182,253,922,997,052,062,269,514,226,044,643,886,898,236,531,698,
992,061,732,589,255,177,203,224,532,946,742,537,244,995,931,681,327,431,217,
660,655,750,549,658,605,311,469,506,048,344,682,442,216,395,260,410,070,283,
327,970,448,773,778,519,646,023,696,514,148,539,010,524,831,321,015,899,461,
187,667,765,586,423,571,029,690,161,814,881,564,766,857,121,702,933,418,143,
933,107,556,940,170,351,188,686,780,674,026,200,059,322,003,542,032,735,212,
822,530,714,138,223,448,768,990,691,732,534,267,800,660,825,792,745,157,359,
349,883,843,806,528,090,667,007,904,064,978,723,205,234,957,449,233,248,787,
018,295,105,412,586,090,717,401,338,679,264,244,415,627,911,468,997,013,927,
524,355,394,958,170,466,162,685,211,176,570,957,541,277,016,459,147,622,514,
808,398,599,750,409,489,651,618,346,090,303,295,356,922,338,392,563,261,961,
069,908,951,203,927,862,659,175,126,936,800,504,180,640,448,770,743,931,771,
891,552,618,578,235,571,425,865,780,637,399,185,632,929,188,484,536,514,097,
675,699,817,069,581,106,448,452,028,688,762,912,935,802,949,343,699,819,372,
983,043,634,419,447,657,633,317,779,040,029,920,094,737,980,570,862,449,301,
566,337,377,259,889,422,722,228,512,344,180,672,387,290,338,100,593,037,897,
768,366,539,292,495,099,006,574,279,362,131,938,983,455,685,989,379,622,983,
043,533,268,276,558,762,897,937,993,581,531,548,467,525,053,252,942,704,221,
638,498,233,578,823,543,190,620,207,259,299,404,851,170,369,011,080,147,759,
016,183,829,004,140,156,162,298,003,242,655,868,388,578,447,282,687,663,035,
386,919,812,613,459,561,232,654,381,586,985,812,216,841,182,639,635,877,398,
378,424,551,322,679,700,463,482,706,668,403,179,626,209,299,512,632,478,289,
740,493,570,476,824,272,184,577,943,820,638,546,508,562,728,979,477,385,060,
018,433,556,145,064,734,867,683,506,300,300,652,716,731,145,708,366,482,941,
669,403,918,954,364,458,032,833,605,541,514,061,195,188,625,303,348,873,426,
475,938,081,037,652,552,262,866,879,456,702,100,571,957,022,401,367,586,074,
973,304,186,150,319,382,339,599,152,344,339,764,888,121,730,791,315,248,955,
229,309,679,531,873,332,622,026,332,509,266,052,602,471,987,644,472,621,748,
426,190,900,591,893,556,688,360,794,308,401,484,552,359,630,477,923,529,460,
030,612,143,521,037,125,606,935,333,015,214,132,097,521,190,085,876,835,832,
383,134,416,165,082,405,230,376,207,791,862,810,436,609,510,265,228,412,239,
277,456,445,791,261,220,057,890,605,906,032,164,843,943,865,283,467,178,554,
667,111,206,167,016,329,291,767,452,250,611,361,196,250,334,038,433,543,127,
720,791,370,480,537,252,907,011,055,287,249,626,716,875,335,583,538,071,625,
419,368,430,533,497,058,822,861,344,761,541,105,892,564,769,752,962,679,238,
560,599,214,375,151,248,416,746,708,612,696,271,167,799,063,523,409,319,088,
889,190,829,090,418,106,332,696,116,123,304,460,098,385,543,681,720,115,006,
548,699,466,210,298,961,806,175,984,795,252,552,060,504,648,346,646,637,807,
813,872,719,969,123,442,019,268,608,917,709,044,719,369,347,041,267,065,642,
290,852,470,019,643,263,950,267,595,612,985,648,489,269,163,695,006,192,548,
358,148,480,151,548,793,228,750,479,944,375,558,036,160,376,365,952,315,947,
974,582,046,155,907,497,364,974,449,581,805,721,866,550,936,056,021,559,269,
778,222,886,414,572,444,505,439,967,107,816,267,766,492,314,381,803,958,921,
926,275,113,525,972,891,882,650,525,259,407,620,626,942,498,267,968,928,739,
182,486,268,460,233,439,252,734,470,051,834,248,882,680,451,013,023,623,290,
997,553,937,470,046,896,616,978,472,453,037,266,405,810,557,247,121,783,081,
194,119,415,272,314,573,812,770,887,476,793,740,638,722,364,996,059,893,993,
785,061,114,664,495,274,442,888,351,940,888,515,115,675,919,774,241,736,531,
646,015,462,316,928,496,747,794,117,483,922,592,977,848,979,409,373,226,876,
571,510,976,455,442,173,200,601,538,076,106,066,907,647,291,880,867,290,527,
078,091,481,292,840,736,703,918,333,883,860,582,213,235,709,707,597,241,221,
997,233,228,929,253,260,481,391,351,671,938,127,097,879,657,758,244,574,719,
781,214,723,364,974,523,744,338,710,689,266,569,873,838,255,541,788,645,777,
240,981,586,572,522,796,046,038,773,060,412,171,321,498,174,141,075,106,219,
449,938,752,660,042,962,151,089,823,811,600,328,566,189,868,214,898,666,688,
533,921,722,628,400,608,348,905,057,011,363,348,951,891,777,044,626,379,377,
614,530,376,448,988,998,268,960,023,065,586,805,969,729,500,830,839,584,082,
710,677,876,822,923,523,766,698,339,816,604,410,231,313,982,838,856,725,602,
544,852,665,634,928,157,664,346,033,313,371,016,818,359,744,288,298,528,773,
315,049,033,700,593,858,642,926,481,787,464,116,335,498,777,274,667,323,596,
225,001,833,203,969,044,587,136,377,676,192,872,141,482,392,181,315,644,362,
070,730,392,560,966,048,465,760,015,656,511,936,352,458,689,567,353,568,946,
686,551,568,806,837,714,706,136,361,932,912,287,950,975,424,537,099,783,608,
117,394,358,447,932,141,387,696,600,668,013,529,984,288,660,336,045,605,754,
830,974,954,461,981,991,852,234,616,926,578,716,242,292,257,506,296,691,321,
704,850,258,959,636,246,851,651,313,363,022,916,533,954,364,598,366,408,459,
470,134,278,762,129,713,325,832,517,773,687,423,078,675,788,547,975,897,932,
668,352,485,917,446,406,064,918,592,713,491,473,117,475,647,591,955,485,698,
679,274,561,135,375,114,913,346,097,842,895,644,384,101,954,765,562,314,751

Some useful links

Large prime numbers

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

Definitions and theory

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

Searching for Mersenne primes

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

EFF Cooperative Computing Awards

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

Source code

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

Other prime links

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